Magma V2.19-8 Tue Aug 20 2013 16:16:21 on localhost [Seed = 2564359292] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0622 geometric_solution 4.62246602 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 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 0.559646701392 0.337220213390 0 2 2 3 0132 2031 1230 0132 0 0 0 0 0 -1 1 0 0 0 1 -1 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 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 0 0 0 0.689112229063 0.789887357054 1 0 3 1 1302 0132 2310 3012 0 0 0 0 0 0 1 -1 1 0 0 -1 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 1 -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 0.689112229063 0.789887357054 4 2 1 4 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498295721877 0.465436784068 3 5 5 3 0132 0132 1023 1023 0 0 0 0 0 0 -1 1 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 1 -1 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 1.212359442277 0.369476335704 6 4 4 6 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 -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 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.183271536027 0.112558075560 5 6 6 5 0132 3201 2310 1023 0 0 0 0 0 0 -1 1 0 0 0 0 -1 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 1 -1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.145194544401 0.061741194873 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : 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' : negation(d['1']), 's_1_0' : negation(d['1']), 's_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t - 10700110321842797/8394123909974720*c_0101_6^14 + 3400278185103223/4197061954987360*c_0101_6^13 + 8180381106599631/419706195498736*c_0101_6^12 - 944391175228529841/8394123909974720*c_0101_6^11 + 580350568478339731/1678824781994944*c_0101_6^10 - 2458700591822960083/8394123909974720*c_0101_6^9 - 5594773622194242227/8394123909974720*c_0101_6^8 + 5691893098915604113/4197061954987360*c_0101_6^7 - 3364334236033429649/4197061954987360*c_0101_6^6 + 4609641638747172691/8394123909974720*c_0101_6^5 - 415220646231530589/1049265488746840*c_0101_6^4 - 638085836690878035/1678824781994944*c_0101_6^3 + 2153410703685168203/4197061954987360*c_0101_6^2 - 441458715218798819/2098530977493680*c_0101_6 + 96367878371425841/1678824781994944, c_0011_0 - 1, c_0011_3 + 18980606285009/2098530977493680*c_0101_1*c_0101_6^14 - 8330806755887/524632744373420*c_0101_1*c_0101_6^13 - 175170656600057/1049265488746840*c_0101_1*c_0101_6^12 + 1901572364904531/2098530977493680*c_0101_1*c_0101_6^11 - 6053615890888759/2098530977493680*c_0101_1*c_0101_6^10 + 5597652949184709/2098530977493680*c_0101_1*c_0101_6^9 + 15550771731108783/2098530977493680*c_0101_1*c_0101_6^8 - 6254592375312817/524632744373420*c_0101_1*c_0101_6^7 + 337284346915569/262316372186710*c_0101_1*c_0101_6^6 - 8726904692368137/2098530977493680*c_0101_1*c_0101_6^5 + 2301931027610157/524632744373420*c_0101_1*c_0101_6^4 + 11875586712176471/2098530977493680*c_0101_1*c_0101_6^3 - 1137594459031613/524632744373420*c_0101_1*c_0101_6^2 + 82746311264223/209853097749368*c_0101_1*c_0101_6 + 1045144507824373/2098530977493680*c_0101_1, c_0101_0 - 65851005913053/2098530977493680*c_0101_6^14 + 1372984403761/209853097749368*c_0101_6^13 + 125715042399147/262316372186710*c_0101_6^12 - 5404827170433477/2098530977493680*c_0101_6^11 + 3121348424616739/419706195498736*c_0101_6^10 - 8761777037497823/2098530977493680*c_0101_6^9 - 7549374768066447/419706195498736*c_0101_6^8 + 5533057072405019/209853097749368*c_0101_6^7 - 8765327611333963/1049265488746840*c_0101_6^6 + 3763283164547355/419706195498736*c_0101_6^5 - 1082658762391428/131158186093355*c_0101_6^4 - 24465007612452223/2098530977493680*c_0101_6^3 + 8509926549787937/1049265488746840*c_0101_6^2 - 313029831667259/262316372186710*c_0101_6 + 1867044122495841/2098530977493680, c_0101_1^2 - 752780398163/52463274437342*c_0101_6^14 - 13840002572507/524632744373420*c_0101_6^13 + 96007695458983/524632744373420*c_0101_6^12 - 415200920672559/524632744373420*c_0101_6^11 + 80632042698757/52463274437342*c_0101_6^10 + 1326061042411567/524632744373420*c_0101_6^9 - 1682254783390443/262316372186710*c_0101_6^8 - 299668100155957/524632744373420*c_0101_6^7 + 1914515128280333/524632744373420*c_0101_6^6 + 382131541011213/524632744373420*c_0101_6^5 + 18925327403079/26231637218671*c_0101_6^4 - 741019832790777/262316372186710*c_0101_6^3 - 241048130494005/104926548874684*c_0101_6^2 + 558172297646161/524632744373420*c_0101_6 + 207325226474963/524632744373420, c_0101_4 - 9192654773699/1049265488746840*c_0101_6^14 + 3647369098329/131158186093355*c_0101_6^13 + 39393927870099/262316372186710*c_0101_6^12 - 1156169458741249/1049265488746840*c_0101_6^11 + 4066403114209483/1049265488746840*c_0101_6^10 - 1228651484471689/209853097749368*c_0101_6^9 - 5618437203100553/1049265488746840*c_0101_6^8 + 2802783547308939/131158186093355*c_0101_6^7 - 1219519128424029/104926548874684*c_0101_6^6 + 990372877364095/209853097749368*c_0101_6^5 - 5261232175704321/524632744373420*c_0101_6^4 - 6851181518325911/1049265488746840*c_0101_6^3 + 3778159699145991/524632744373420*c_0101_6^2 - 1111310709890391/524632744373420*c_0101_6 + 520783559208387/1049265488746840, c_0101_5 - 764780364157/419706195498736*c_0101_6^14 + 1353057861835/209853097749368*c_0101_6^13 + 5350334592077/262316372186710*c_0101_6^12 - 555091752747477/2098530977493680*c_0101_6^11 + 2043508861586343/2098530977493680*c_0101_6^10 - 4042163488392059/2098530977493680*c_0101_6^9 - 86557726115879/2098530977493680*c_0101_6^8 + 1397352150581677/209853097749368*c_0101_6^7 - 5957070238489047/1049265488746840*c_0101_6^6 + 1811667149816703/2098530977493680*c_0101_6^5 - 1730367191183997/524632744373420*c_0101_6^4 - 2923431952794911/2098530977493680*c_0101_6^3 + 499126588812637/209853097749368*c_0101_6^2 - 236453369135937/104926548874684*c_0101_6 + 280213298898797/2098530977493680, c_0101_6^15 + c_0101_6^14 - 14*c_0101_6^13 + 65*c_0101_6^12 - 160*c_0101_6^11 - 54*c_0101_6^10 + 488*c_0101_6^9 - 241*c_0101_6^8 + 60*c_0101_6^7 - 265*c_0101_6^6 - 121*c_0101_6^5 + 187*c_0101_6^4 - 41*c_0101_6^3 + 26*c_0101_6^2 + 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB