257 257 H( 257 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 257 389 H( 257 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 257 137 H( 257 * 137 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 257 11 H( 257 * 11 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 257 401 H( 257 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 257 149 H( 257 * 149 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 257 23 H( 257 * 23 ) has dim>1 so the Kolyvagin class vanishes. 0 257 281 H( 257 * 281 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 257 47 H( 257 * 47 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 257 29 H( 257 * 29 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 257 293 H( 257 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 257 41 H( 257 * 41 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 257 173 H( 257 * 173 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 257 431 H( 257 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 257 179 H( 257 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 257 53 H( 257 * 53 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 257 461 H( 257 * 461 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 257 347 H( 257 * 347 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 257 359 H( 257 * 359 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 257 233 H( 257 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 257 107 H( 257 * 107 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 257 239 H( 257 * 239 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 257 383 H( 257 * 383 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 389 257 H( 389 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 389 389 H( 389 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 389 137 H( 389 * 137 ) has dim>1 so the Kolyvagin class vanishes. 0 389 11 H( 389 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 389 401 H( 389 * 401 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 389 149 H( 389 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 389 23 H( 389 * 23 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 389 281 H( 389 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 389 47 H( 389 * 47 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 389 29 H( 389 * 29 ) has dim>1 so the Kolyvagin class vanishes. 0 389 293 H( 389 * 293 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 389 41 H( 389 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 389 173 H( 389 * 173 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 389 431 H( 389 * 431 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 389 179 H( 389 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 389 53 H( 389 * 53 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 389 461 H( 389 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 389 347 H( 389 * 347 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 389 359 H( 389 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 389 233 H( 389 * 233 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 389 107 H( 389 * 107 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 389 239 H( 389 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 389 383 H( 389 * 383 ) has dim>1 so the Kolyvagin class vanishes. 0 137 257 H( 137 * 257 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 137 389 H( 137 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 137 137 H( 137 * 137 ) has dim>1 so the Kolyvagin class vanishes. 0 137 11 H( 137 * 11 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 0), (2, 0, 0)] 137 401 H( 137 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 137 149 H( 137 * 149 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 137 23 H( 137 * 23 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 137 281 H( 137 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 137 47 H( 137 * 47 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 137 29 H( 137 * 29 ) has dim>1 so the Kolyvagin class vanishes. 0 137 293 H( 137 * 293 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 137 41 H( 137 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 137 173 H( 137 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 137 431 H( 137 * 431 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 137 179 H( 137 * 179 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 137 53 H( 137 * 53 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 137 461 H( 137 * 461 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 137 347 H( 137 * 347 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 137 359 H( 137 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 137 233 H( 137 * 233 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 137 107 H( 137 * 107 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 137 239 H( 137 * 239 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 137 383 H( 137 * 383 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 11 257 H( 11 * 257 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 11 389 H( 11 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 11 137 H( 11 * 137 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 0), (2, 0, 0)] 11 11 H( 11 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 11 401 H( 11 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 11 149 H( 11 * 149 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 11 23 H( 11 * 23 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 11 281 H( 11 * 281 ) has dim>1 so the Kolyvagin class vanishes. 0 11 47 H( 11 * 47 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 11 29 H( 11 * 29 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 0), (2, 0, 0)] 11 293 H( 11 * 293 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 11 41 H( 11 * 41 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 11 173 H( 11 * 173 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 11 431 H( 11 * 431 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 11 179 H( 11 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 11 53 H( 11 * 53 ) has dim>1 so the Kolyvagin class vanishes. 0 11 461 H( 11 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 11 347 H( 11 * 347 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 11 359 H( 11 * 359 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 11 233 H( 11 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 11 107 H( 11 * 107 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 11 239 H( 11 * 239 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 11 383 H( 11 * 383 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 401 257 H( 401 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 401 389 H( 401 * 389 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 401 137 H( 401 * 137 ) has dim>1 so the Kolyvagin class vanishes. 0 401 11 H( 401 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 401 401 H( 401 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 401 149 H( 401 * 149 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 401 23 H( 401 * 23 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 401 281 H( 401 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 401 47 H( 401 * 47 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 401 29 H( 401 * 29 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 401 293 H( 401 * 293 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 401 41 H( 401 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 401 173 H( 401 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 401 431 H( 401 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 401 179 H( 401 * 179 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 401 53 H( 401 * 53 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 401 461 H( 401 * 461 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 401 347 H( 401 * 347 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 401 359 H( 401 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 401 233 H( 401 * 233 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 401 107 H( 401 * 107 ) has dim>1 so the Kolyvagin class vanishes. 0 401 239 H( 401 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 401 383 H( 401 * 383 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 149 257 H( 149 * 257 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 149 389 H( 149 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 149 137 H( 149 * 137 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 149 11 H( 149 * 11 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 149 401 H( 149 * 401 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 149 149 H( 149 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 149 23 H( 149 * 23 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 149 281 H( 149 * 281 ) has dim>1 so the Kolyvagin class vanishes. 0 149 47 H( 149 * 47 ) has dim>1 so the Kolyvagin class vanishes. 0 149 29 H( 149 * 29 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 149 293 H( 149 * 293 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 149 41 H( 149 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 149 173 H( 149 * 173 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 149 431 H( 149 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 149 179 H( 149 * 179 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 149 53 H( 149 * 53 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 149 461 H( 149 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 149 347 H( 149 * 347 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 149 359 H( 149 * 359 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 149 233 H( 149 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 149 107 H( 149 * 107 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 149 239 H( 149 * 239 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 149 383 H( 149 * 383 ) has dim>1 so the Kolyvagin class vanishes. 0 23 257 H( 23 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 23 389 H( 23 * 389 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 23 137 H( 23 * 137 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 23 11 H( 23 * 11 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 23 401 H( 23 * 401 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 23 149 H( 23 * 149 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 23 23 H( 23 * 23 ) has dim>1 so the Kolyvagin class vanishes. 0 23 281 H( 23 * 281 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 23 47 H( 23 * 47 ) has dim>1 so the Kolyvagin class vanishes. 0 23 29 H( 23 * 29 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 23 293 H( 23 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 23 41 H( 23 * 41 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 23 173 H( 23 * 173 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 23 431 H( 23 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 23 179 H( 23 * 179 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 23 53 H( 23 * 53 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 23 461 H( 23 * 461 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 23 347 H( 23 * 347 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 23 359 H( 23 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 23 233 H( 23 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 23 107 H( 23 * 107 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 23 239 H( 23 * 239 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 23 383 H( 23 * 383 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 281 257 H( 281 * 257 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 281 389 H( 281 * 389 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 281 137 H( 281 * 137 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 281 11 H( 281 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 281 401 H( 281 * 401 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 281 149 H( 281 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 281 23 H( 281 * 23 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 281 281 H( 281 * 281 ) has dim>1 so the Kolyvagin class vanishes. 0 281 47 H( 281 * 47 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 281 29 H( 281 * 29 ) has dim>1 so the Kolyvagin class vanishes. 0 281 293 H( 281 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 281 41 H( 281 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 281 173 H( 281 * 173 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 281 431 H( 281 * 431 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 281 179 H( 281 * 179 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 281 53 H( 281 * 53 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 281 461 H( 281 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 281 347 H( 281 * 347 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 281 359 H( 281 * 359 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 281 233 H( 281 * 233 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 281 107 H( 281 * 107 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 281 239 H( 281 * 239 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 281 383 H( 281 * 383 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 47 257 H( 47 * 257 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 47 389 H( 47 * 389 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 47 137 H( 47 * 137 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 47 11 H( 47 * 11 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 47 401 H( 47 * 401 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 47 149 H( 47 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 47 23 H( 47 * 23 ) has dim>1 so the Kolyvagin class vanishes. 0 47 281 H( 47 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 47 47 H( 47 * 47 ) has dim>1 so the Kolyvagin class vanishes. 0 47 29 H( 47 * 29 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 47 293 H( 47 * 293 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 47 41 H( 47 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 47 173 H( 47 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 47 431 H( 47 * 431 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 47 179 H( 47 * 179 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 47 53 H( 47 * 53 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 47 461 H( 47 * 461 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 47 347 H( 47 * 347 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 47 359 H( 47 * 359 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 47 233 H( 47 * 233 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 47 107 H( 47 * 107 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 47 239 H( 47 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 47 383 H( 47 * 383 ) has dim>1 so the Kolyvagin class vanishes. 0 29 257 H( 29 * 257 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 29 389 H( 29 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 29 137 H( 29 * 137 ) has dim>1 so the Kolyvagin class vanishes. 0 29 11 H( 29 * 11 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 0), (2, 0, 0)] 29 401 H( 29 * 401 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 29 149 H( 29 * 149 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 29 23 H( 29 * 23 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 29 281 H( 29 * 281 ) has dim>1 so the Kolyvagin class vanishes. 0 29 47 H( 29 * 47 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 29 29 H( 29 * 29 ) has dim>1 so the Kolyvagin class vanishes. 0 29 293 H( 29 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 29 41 H( 29 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 29 173 H( 29 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 29 431 H( 29 * 431 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 29 179 H( 29 * 179 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 29 53 H( 29 * 53 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 29 461 H( 29 * 461 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 29 347 H( 29 * 347 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 29 359 H( 29 * 359 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 29 233 H( 29 * 233 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 29 107 H( 29 * 107 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 29 239 H( 29 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 29 383 H( 29 * 383 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 293 257 H( 293 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 293 389 H( 293 * 389 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 293 137 H( 293 * 137 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 293 11 H( 293 * 11 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 293 401 H( 293 * 401 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 293 149 H( 293 * 149 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 293 23 H( 293 * 23 ) has dim>1 so the Kolyvagin class vanishes. 0 293 281 H( 293 * 281 ) has dim>1 so the Kolyvagin class vanishes. 0 293 47 H( 293 * 47 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 293 29 H( 293 * 29 ) has dim>1 so the Kolyvagin class vanishes. 0 293 293 H( 293 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 293 41 H( 293 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 293 173 H( 293 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 293 431 H( 293 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 293 179 H( 293 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 293 53 H( 293 * 53 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 293 461 H( 293 * 461 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 293 347 H( 293 * 347 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 293 359 H( 293 * 359 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 293 233 H( 293 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 293 107 H( 293 * 107 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 293 239 H( 293 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 293 383 H( 293 * 383 ) has dim>1 so the Kolyvagin class vanishes. 0 41 257 H( 41 * 257 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 41 389 H( 41 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 41 137 H( 41 * 137 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 41 11 H( 41 * 11 ) is generated by 2 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 2, 1), (1, 1, 2)] 41 401 H( 41 * 401 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 41 149 H( 41 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 41 23 H( 41 * 23 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 41 281 H( 41 * 281 ) has dim>1 so the Kolyvagin class vanishes. 0 41 47 H( 41 * 47 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 41 29 H( 41 * 29 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 41 293 H( 41 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 41 41 H( 41 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 41 173 H( 41 * 173 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 41 431 H( 41 * 431 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 41 179 H( 41 * 179 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 41 53 H( 41 * 53 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 41 461 H( 41 * 461 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 41 347 H( 41 * 347 ) has dim>1 so the Kolyvagin class vanishes. 0 41 359 H( 41 * 359 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 41 233 H( 41 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 41 107 H( 41 * 107 ) has dim>1 so the Kolyvagin class vanishes. 0 41 239 H( 41 * 239 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 41 383 H( 41 * 383 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 173 257 H( 173 * 257 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 173 389 H( 173 * 389 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 173 137 H( 173 * 137 ) has dim>1 so the Kolyvagin class vanishes. 0 173 11 H( 173 * 11 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 173 401 H( 173 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 173 149 H( 173 * 149 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 173 23 H( 173 * 23 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 173 281 H( 173 * 281 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 173 47 H( 173 * 47 ) has dim>1 so the Kolyvagin class vanishes. 0 173 29 H( 173 * 29 ) has dim>1 so the Kolyvagin class vanishes. 0 173 293 H( 173 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 173 41 H( 173 * 41 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 173 173 H( 173 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 173 431 H( 173 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 173 179 H( 173 * 179 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 173 53 H( 173 * 53 ) has dim>1 so the Kolyvagin class vanishes. 0 173 461 H( 173 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 173 347 H( 173 * 347 ) has dim>1 so the Kolyvagin class vanishes. 0 173 359 H( 173 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 173 233 H( 173 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 173 107 H( 173 * 107 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 173 239 H( 173 * 239 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 173 383 H( 173 * 383 ) has dim>1 so the Kolyvagin class vanishes. 0 431 257 H( 431 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 431 389 H( 431 * 389 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 431 137 H( 431 * 137 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 431 11 H( 431 * 11 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 431 401 H( 431 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 431 149 H( 431 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 431 23 H( 431 * 23 ) has dim>1 so the Kolyvagin class vanishes. 0 431 281 H( 431 * 281 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 431 47 H( 431 * 47 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 431 29 H( 431 * 29 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 431 293 H( 431 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 431 41 H( 431 * 41 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 431 173 H( 431 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 431 431 H( 431 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 431 179 H( 431 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 431 53 H( 431 * 53 ) has dim>1 so the Kolyvagin class vanishes. 0 431 461 H( 431 * 461 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 431 347 H( 431 * 347 ) has dim>1 so the Kolyvagin class vanishes. 0 431 359 H( 431 * 359 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 431 233 H( 431 * 233 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 431 107 H( 431 * 107 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 431 239 H( 431 * 239 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 431 383 H( 431 * 383 ) has dim>1 so the Kolyvagin class vanishes. 0 179 257 H( 179 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 179 389 H( 179 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 179 137 H( 179 * 137 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 179 11 H( 179 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 179 401 H( 179 * 401 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 179 149 H( 179 * 149 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 179 23 H( 179 * 23 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 179 281 H( 179 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 179 47 H( 179 * 47 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 179 29 H( 179 * 29 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 179 293 H( 179 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 179 41 H( 179 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 179 173 H( 179 * 173 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 179 431 H( 179 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 179 179 H( 179 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 179 53 H( 179 * 53 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 179 461 H( 179 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 179 347 H( 179 * 347 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 179 359 H( 179 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 179 233 H( 179 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 179 107 H( 179 * 107 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 179 239 H( 179 * 239 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 179 383 H( 179 * 383 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 53 257 H( 53 * 257 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 53 389 H( 53 * 389 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 53 137 H( 53 * 137 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 53 11 H( 53 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 53 401 H( 53 * 401 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 53 149 H( 53 * 149 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 53 23 H( 53 * 23 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 53 281 H( 53 * 281 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 53 47 H( 53 * 47 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 53 29 H( 53 * 29 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 53 293 H( 53 * 293 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 53 41 H( 53 * 41 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 53 173 H( 53 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 53 431 H( 53 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 53 179 H( 53 * 179 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 53 53 H( 53 * 53 ) has dim>1 so the Kolyvagin class vanishes. 0 53 461 H( 53 * 461 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 53 347 H( 53 * 347 ) has dim>1 so the Kolyvagin class vanishes. 0 53 359 H( 53 * 359 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 53 233 H( 53 * 233 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 53 107 H( 53 * 107 ) has dim>1 so the Kolyvagin class vanishes. 0 53 239 H( 53 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 53 383 H( 53 * 383 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 461 257 H( 461 * 257 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 461 389 H( 461 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 461 137 H( 461 * 137 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 461 11 H( 461 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 461 401 H( 461 * 401 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 461 149 H( 461 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 461 23 H( 461 * 23 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 461 281 H( 461 * 281 ) has dim>1 so the Kolyvagin class vanishes. 0 461 47 H( 461 * 47 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 461 29 H( 461 * 29 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 461 293 H( 461 * 293 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 461 41 H( 461 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 461 173 H( 461 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 461 431 H( 461 * 431 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 461 179 H( 461 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 461 53 H( 461 * 53 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 461 461 H( 461 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 461 347 H( 461 * 347 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 461 359 H( 461 * 359 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 461 233 H( 461 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 461 107 H( 461 * 107 ) has dim>1 so the Kolyvagin class vanishes. 0 461 239 H( 461 * 239 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 461 383 H( 461 * 383 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 347 257 H( 347 * 257 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 347 389 H( 347 * 389 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 347 137 H( 347 * 137 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 347 11 H( 347 * 11 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 347 401 H( 347 * 401 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 347 149 H( 347 * 149 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 347 23 H( 347 * 23 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 347 281 H( 347 * 281 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 347 47 H( 347 * 47 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 347 29 H( 347 * 29 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 347 293 H( 347 * 293 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 347 41 H( 347 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 347 173 H( 347 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 347 431 H( 347 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 347 179 H( 347 * 179 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 347 53 H( 347 * 53 ) has dim>1 so the Kolyvagin class vanishes. 0 347 461 H( 347 * 461 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 1), (0, 2, 2)] 347 347 H( 347 * 347 ) has dim>1 so the Kolyvagin class vanishes. 0 347 359 H( 347 * 359 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 347 233 H( 347 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 347 107 H( 347 * 107 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 347 239 H( 347 * 239 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 347 383 H( 347 * 383 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 359 257 H( 359 * 257 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 359 389 H( 359 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 359 137 H( 359 * 137 ) has dim>1 so the Kolyvagin class vanishes. 0 359 11 H( 359 * 11 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 359 401 H( 359 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 359 149 H( 359 * 149 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 359 23 H( 359 * 23 ) has dim>1 so the Kolyvagin class vanishes. 0 359 281 H( 359 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 359 47 H( 359 * 47 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 359 29 H( 359 * 29 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 359 293 H( 359 * 293 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 359 41 H( 359 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 359 173 H( 359 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 359 431 H( 359 * 431 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 359 179 H( 359 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 359 53 H( 359 * 53 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 359 461 H( 359 * 461 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 359 347 H( 359 * 347 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 359 359 H( 359 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 359 233 H( 359 * 233 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 359 107 H( 359 * 107 ) has dim>1 so the Kolyvagin class vanishes. 0 359 239 H( 359 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 359 383 H( 359 * 383 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 233 257 H( 233 * 257 ) has dim>1 so the Kolyvagin class vanishes. 0 233 389 H( 233 * 389 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 233 137 H( 233 * 137 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 233 11 H( 233 * 11 ) has dim>1 so the Kolyvagin class vanishes. 0 233 401 H( 233 * 401 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 233 149 H( 233 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 233 23 H( 233 * 23 ) has dim>1 so the Kolyvagin class vanishes. 0 233 281 H( 233 * 281 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 233 47 H( 233 * 47 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 233 29 H( 233 * 29 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 0), (1, 2, 0)] 233 293 H( 233 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 233 41 H( 233 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 233 173 H( 233 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 233 431 H( 233 * 431 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 233 179 H( 233 * 179 ) has dim>1 so the Kolyvagin class vanishes. 0 233 53 H( 233 * 53 ) is generated by 0 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 0, 1), (0, 0, 2)] 233 461 H( 233 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 233 347 H( 233 * 347 ) has dim>1 so the Kolyvagin class vanishes. 0 233 359 H( 233 * 359 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 233 233 H( 233 * 233 ) has dim>1 so the Kolyvagin class vanishes. 0 233 107 H( 233 * 107 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 233 239 H( 233 * 239 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 233 383 H( 233 * 383 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 107 257 H( 107 * 257 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 107 389 H( 107 * 389 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 107 137 H( 107 * 137 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 107 11 H( 107 * 11 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 107 401 H( 107 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 107 149 H( 107 * 149 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 107 23 H( 107 * 23 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 107 281 H( 107 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 107 47 H( 107 * 47 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 107 29 H( 107 * 29 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 107 293 H( 107 * 293 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 107 41 H( 107 * 41 ) has dim>1 so the Kolyvagin class vanishes. 0 107 173 H( 107 * 173 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 107 431 H( 107 * 431 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 107 179 H( 107 * 179 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 107 53 H( 107 * 53 ) has dim>1 so the Kolyvagin class vanishes. 0 107 461 H( 107 * 461 ) has dim>1 so the Kolyvagin class vanishes. 0 107 347 H( 107 * 347 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 107 359 H( 107 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 107 233 H( 107 * 233 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 107 107 H( 107 * 107 ) has dim>1 so the Kolyvagin class vanishes. 0 107 239 H( 107 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 107 383 H( 107 * 383 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 239 257 H( 239 * 257 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 239 389 H( 239 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 239 137 H( 239 * 137 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 239 11 H( 239 * 11 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 239 401 H( 239 * 401 ) has dim>1 so the Kolyvagin class vanishes. 0 239 149 H( 239 * 149 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 239 23 H( 239 * 23 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 239 281 H( 239 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 239 47 H( 239 * 47 ) has dim>1 so the Kolyvagin class vanishes. 0 239 29 H( 239 * 29 ) has dim>1 so the Kolyvagin class vanishes. 0 239 293 H( 239 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 239 41 H( 239 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 239 173 H( 239 * 173 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 239 431 H( 239 * 431 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 239 179 H( 239 * 179 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 239 53 H( 239 * 53 ) has dim>1 so the Kolyvagin class vanishes. 0 239 461 H( 239 * 461 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 0), (2, 2, 0)] 239 347 H( 239 * 347 ) is generated by 0 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (0, 2, 1), (0, 1, 2)] 239 359 H( 239 * 359 ) has dim>1 so the Kolyvagin class vanishes. 0 239 233 H( 239 * 233 ) is generated by 2 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (2, 1, 1), (1, 2, 2)] 239 107 H( 239 * 107 ) has dim>1 so the Kolyvagin class vanishes. 0 239 239 H( 239 * 239 ) has dim>1 so the Kolyvagin class vanishes. 0 239 383 H( 239 * 383 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 383 257 H( 383 * 257 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 383 389 H( 383 * 389 ) has dim>1 so the Kolyvagin class vanishes. 0 383 137 H( 383 * 137 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 383 11 H( 383 * 11 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 383 401 H( 383 * 401 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 383 149 H( 383 * 149 ) has dim>1 so the Kolyvagin class vanishes. 0 383 23 H( 383 * 23 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 383 281 H( 383 * 281 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 383 47 H( 383 * 47 ) has dim>1 so the Kolyvagin class vanishes. 0 383 29 H( 383 * 29 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 383 293 H( 383 * 293 ) has dim>1 so the Kolyvagin class vanishes. 0 383 41 H( 383 * 41 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 383 173 H( 383 * 173 ) has dim>1 so the Kolyvagin class vanishes. 0 383 431 H( 383 * 431 ) has dim>1 so the Kolyvagin class vanishes. 0 383 179 H( 383 * 179 ) is generated by 1 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 1, 1), (2, 2, 2)] 383 53 H( 383 * 53 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 383 461 H( 383 * 461 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 383 347 H( 383 * 347 ) is generated by 0 * (-2 : 3 : 1) + 1 * (-7/4 : 25/8 : 1) + 0 * (1 : -1 : 1) [(0, 0, 0), (0, 1, 0), (0, 2, 0)] 383 359 H( 383 * 359 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 383 233 H( 383 * 233 ) is generated by 1 * (-2 : 3 : 1) + 2 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 2, 1), (2, 1, 2)] 383 107 H( 383 * 107 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 383 239 H( 383 * 239 ) is generated by 1 * (-2 : 3 : 1) + 0 * (-7/4 : 25/8 : 1) + 1 * (1 : -1 : 1) [(0, 0, 0), (1, 0, 1), (2, 0, 2)] 383 383 H( 383 * 383 ) has dim>1 so the Kolyvagin class vanishes. 0