Magma V2.19-8 Tue Aug 20 2013 16:14:38 on localhost [Seed = 863153973] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s613 geometric_solution 5.09404691 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 -1 0 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 -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 0.782334307223 0.924304428254 0 4 3 2 0132 0132 3012 1302 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 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448834795354 0.632286218762 4 0 1 3 3201 0132 2031 3012 0 0 0 0 0 1 0 -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 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 0.448834795354 0.632286218762 0 1 2 0 3201 1230 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798973564994 0.913014992215 5 1 5 2 0132 0132 2310 2310 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.051531122393 1.801377640572 4 4 5 5 0132 3201 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 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402890948620 0.128628217036 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_0'], '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_0101_4']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), '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_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_0101_0, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 902799862290806047/4741625991000285674*c_0101_4^13 + 10300008379693784431/7112438986500428511*c_0101_4^12 + 870878237519079605/42674633919002571066*c_0101_4^11 - 255559643131268650843/21337316959501285533*c_0101_4^10 - 1845772380778475981/7112438986500428511*c_0101_4^9 + 842739696061563182755/42674633919002571066*c_0101_4^8 + 60128780127996989162/7112438986500428511*c_0101_4^7 - 688351398500929711235/42674633919002571066*c_0101_4^6 - 12050279501453727187/1016062712357204073*c_0101_4^5 + 216881745630880460507/42674633919002571066*c_0101_4^4 + 249549551056441717463/42674633919002571066*c_0101_4^3 + 17367429958249139039/42674633919002571066*c_0101_4^2 + 67081936578899083477/21337316959501285533*c_0101_4 - 52173905377162479880/21337316959501285533, c_0011_0 - 1, c_0011_3 + 28058786965716/36390627569113*c_0101_4^13 + 123349836514420/36390627569113*c_0101_4^12 - 931116413324492/109171882707339*c_0101_4^11 - 1202119873658699/109171882707339*c_0101_4^10 + 1256587023439333/109171882707339*c_0101_4^9 + 1723275829102897/109171882707339*c_0101_4^8 - 550201073439590/109171882707339*c_0101_4^7 - 1371052825634921/109171882707339*c_0101_4^6 + 54331978664806/109171882707339*c_0101_4^5 + 114609330329234/36390627569113*c_0101_4^4 - 140779885893121/36390627569113*c_0101_4^3 + 214139198129150/109171882707339*c_0101_4^2 + 136378403563945/109171882707339*c_0101_4 + 8037348848425/36390627569113, c_0101_0 - 4068845149219953/8260672458188651*c_0101_4^13 - 18756960049873561/8260672458188651*c_0101_4^12 + 121209468126826013/24782017374565953*c_0101_4^11 + 192508266524531653/24782017374565953*c_0101_4^10 - 123345619280742184/24782017374565953*c_0101_4^9 - 262817904746479475/24782017374565953*c_0101_4^8 + 22038873690067817/24782017374565953*c_0101_4^7 + 186978603374341303/24782017374565953*c_0101_4^6 + 23967629815586033/24782017374565953*c_0101_4^5 - 11957002838646739/24782017374565953*c_0101_4^4 + 84702264422182294/24782017374565953*c_0101_4^3 - 12571497750479766/8260672458188651*c_0101_4^2 - 39142202020177922/24782017374565953*c_0101_4 - 911840625756520/8260672458188651, c_0101_1 - 7412024831046771/8260672458188651*c_0101_4^13 - 28309735658290088/8260672458188651*c_0101_4^12 + 314583268669198105/24782017374565953*c_0101_4^11 + 233979871496516681/24782017374565953*c_0101_4^10 - 635751831801328883/24782017374565953*c_0101_4^9 - 508176223172514799/24782017374565953*c_0101_4^8 + 580944115770598879/24782017374565953*c_0101_4^7 + 663866195482295324/24782017374565953*c_0101_4^6 - 266651626420688888/24782017374565953*c_0101_4^5 - 441213164618955467/24782017374565953*c_0101_4^4 + 74369146946474384/24782017374565953*c_0101_4^3 + 9117332810683742/8260672458188651*c_0101_4^2 + 11381644686046619/24782017374565953*c_0101_4 + 5049215065535665/8260672458188651, c_0101_2 - 7591169325588/36390627569113*c_0101_4^13 - 26666625121480/36390627569113*c_0101_4^12 + 359819267432825/109171882707339*c_0101_4^11 + 190353118742125/109171882707339*c_0101_4^10 - 839426713765831/109171882707339*c_0101_4^9 - 494083499508158/109171882707339*c_0101_4^8 + 864297202633787/109171882707339*c_0101_4^7 + 783860439773422/109171882707339*c_0101_4^6 - 432465115063774/109171882707339*c_0101_4^5 - 553280663519371/109171882707339*c_0101_4^4 + 83198192289142/109171882707339*c_0101_4^3 - 25225232672562/36390627569113*c_0101_4^2 + 42817904522419/109171882707339*c_0101_4 + 27037698580541/36390627569113, c_0101_4^14 + 14/3*c_0101_4^13 - 91/9*c_0101_4^12 - 167/9*c_0101_4^11 + 38/3*c_0101_4^10 + 274/9*c_0101_4^9 - 2/3*c_0101_4^8 - 239/9*c_0101_4^7 - 26/3*c_0101_4^6 + 83/9*c_0101_4^5 + 14/9*c_0101_4^4 + 14/9*c_0101_4^3 + 11/9*c_0101_4^2 - 2/9*c_0101_4 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB