Magma V2.19-8 Tue Aug 20 2013 16:14:23 on localhost [Seed = 3600239348] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s381 geometric_solution 4.61050423 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287868037541 0.868683678587 0 1 2 1 0132 2310 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.343731509097 1.037259830299 1 0 3 4 2310 0132 1023 1023 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.287868037541 0.868683678587 5 5 2 0 0132 3201 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.118356963962 0.545918729826 4 4 0 2 1230 3012 0132 1023 0 0 0 0 0 -1 1 0 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.610840645466 1.405158597926 3 5 3 5 0132 2310 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.839904471226 1.041511136476 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 79325796141393743/4006853967848806851*c_1100_0^9 + 229359039590011077/1335617989282935617*c_1100_0^8 - 263844542077845977/4006853967848806851*c_1100_0^7 - 1159004356216665523/1335617989282935617*c_1100_0^6 + 1818320078855869219/1335617989282935617*c_1100_0^5 + 426860539444032773/572407709692686693*c_1100_0^4 + 7792239665217618977/1335617989282935617*c_1100_0^3 - 12564938755854784811/4006853967848806851*c_1100_0^2 - 21145853830370867575/4006853967848806851*c_1100_0 + 36000036080288316038/4006853967848806851, c_0011_0 - 1, c_0011_3 - 7859731956795/1603382940315649*c_1100_0^9 + 66674935728602/1603382940315649*c_1100_0^8 - 14006408079440/1603382940315649*c_1100_0^7 - 340352555758176/1603382940315649*c_1100_0^6 + 455074758140515/1603382940315649*c_1100_0^5 + 398153538115646/1603382940315649*c_1100_0^4 + 2477098757460684/1603382940315649*c_1100_0^3 - 720531531420527/1603382940315649*c_1100_0^2 - 1889835113991877/1603382940315649*c_1100_0 + 2224579889519365/1603382940315649, c_0011_4 - 5483555488856/1603382940315649*c_1100_0^9 + 46145880083601/1603382940315649*c_1100_0^8 - 7917731037353/1603382940315649*c_1100_0^7 - 226824140382350/1603382940315649*c_1100_0^6 + 298652051737599/1603382940315649*c_1100_0^5 + 230191915437695/1603382940315649*c_1100_0^4 + 1821811290061415/1603382940315649*c_1100_0^3 - 693278622308038/1603382940315649*c_1100_0^2 - 959938639457531/1603382940315649*c_1100_0 + 1566951270772854/1603382940315649, c_0101_0 + 5972401338130/1603382940315649*c_1100_0^9 - 50288025372606/1603382940315649*c_1100_0^8 + 5053790256173/1603382940315649*c_1100_0^7 + 279730704987889/1603382940315649*c_1100_0^6 - 352918338012466/1603382940315649*c_1100_0^5 - 281096839341587/1603382940315649*c_1100_0^4 - 1745744178502833/1603382940315649*c_1100_0^3 + 167136113050651/1603382940315649*c_1100_0^2 + 2488742467664360/1603382940315649*c_1100_0 - 1616058049111477/1603382940315649, c_0101_1 - 1644973914961/1603382940315649*c_1100_0^9 + 15441286851402/1603382940315649*c_1100_0^8 - 10348300088908/1603382940315649*c_1100_0^7 - 113761105745128/1603382940315649*c_1100_0^6 + 170616067471149/1603382940315649*c_1100_0^5 + 273692952596158/1603382940315649*c_1100_0^4 + 144051112136392/1603382940315649*c_1100_0^3 - 991863045345078/1603382940315649*c_1100_0^2 - 1829750784145507/1603382940315649*c_1100_0 + 2009317525782328/1603382940315649, c_1100_0^10 - 9*c_1100_0^9 + 6*c_1100_0^8 + 44*c_1100_0^7 - 83*c_1100_0^6 - 21*c_1100_0^5 - 278*c_1100_0^4 + 261*c_1100_0^3 + 283*c_1100_0^2 - 564*c_1100_0 + 119 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB