Magma V2.19-8 Tue Aug 20 2013 16:14:26 on localhost [Seed = 3229703361] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s431 geometric_solution 4.73729023 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 -1 0 1 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 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 0.349838631622 0.224061632765 2 0 3 0 0132 2310 0132 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 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 0.623176918096 1.074163904576 1 3 4 3 0132 3201 0132 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.298028930057 1.213265665959 2 4 2 1 3201 0132 2310 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 1 0 -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 -0.298028930057 1.213265665959 5 3 5 2 0132 0132 2310 0132 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 -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 0.623176918096 1.074163904576 4 4 5 5 0132 3201 1230 3012 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349838631622 0.224061632765 ==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' : 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' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_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_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : d['c_0101_1'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 15/2*c_0101_1^6 + 18*c_0101_1^5 + 33*c_0101_1^4 + 119/2*c_0101_1^3 + 56*c_0101_1^2 + c_0101_1 + 23/2, c_0011_0 - 1, c_0011_1 + 1/5*c_0101_1^5 + 1/5*c_0101_1^4 + 1/5*c_0101_1^3 + 1/5*c_0101_1^2 - 2/5*c_0101_1 - 3/5, c_0011_3 - 1/5*c_0101_1^5 - 1/5*c_0101_1^4 - 1/5*c_0101_1^3 - 1/5*c_0101_1^2 + 2/5*c_0101_1 + 3/5, c_0101_0 - 2/5*c_0101_1^6 - 6/5*c_0101_1^5 - 11/5*c_0101_1^4 - 21/5*c_0101_1^3 - 5*c_0101_1^2 - 6/5*c_0101_1 - 3/5, c_0101_1^7 + 3*c_0101_1^6 + 6*c_0101_1^5 + 11*c_0101_1^4 + 13*c_0101_1^3 + 6*c_0101_1^2 + 3*c_0101_1 + 1, c_0101_4 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 2041246122909/60841279421*c_0101_4^17 + 5770384853438/1399349426683*c_0101_4^16 - 192394956413372/107642263591*c_0101_4^15 + 6491431344077681/1399349426683*c_0101_4^14 + 26392098635224216/1399349426683*c_0101_4^13 - 137234644305284027/1399349426683*c_0101_4^12 + 130612849349500428/1399349426683*c_0101_4^11 + 376481454302479/1588364843*c_0101_4^10 - 899920114693985323/1399349426683*c_0101_4^9 + 715250354019779482/1399349426683*c_0101_4^8 + 8763680379287393/1399349426683*c_0101_4^7 - 302010187197795877/1399349426683*c_0101_4^6 + 120572578786349259/1399349426683*c_0101_4^5 + 19410618313811635/1399349426683*c_0101_4^4 - 1571088630784103/107642263591*c_0101_4^3 + 2693423298346635/1399349426683*c_0101_4^2 + 553142503481940/1399349426683*c_0101_4 - 11318658707677/107642263591, c_0011_0 - 1, c_0011_1 + 205120836930/107642263591*c_0101_4^17 - 70175265440/107642263591*c_0101_4^16 - 10916675004221/107642263591*c_0101_4^15 + 33431348666809/107642263591*c_0101_4^14 + 100916843464705/107642263591*c_0101_4^13 - 649315694023821/107642263591*c_0101_4^12 + 859981572131792/107642263591*c_0101_4^11 + 2796833518449/271139203*c_0101_4^10 - 4498889593088821/107642263591*c_0101_4^9 + 5058722931635004/107642263591*c_0101_4^8 - 1927747962192962/107642263591*c_0101_4^7 - 696948242523329/107642263591*c_0101_4^6 + 821283451823798/107642263591*c_0101_4^5 - 180598707312647/107642263591*c_0101_4^4 - 35813473000377/107642263591*c_0101_4^3 + 16916256389721/107642263591*c_0101_4^2 - 262667679283/107642263591*c_0101_4 - 432185878884/107642263591, c_0011_3 + 324543615293/107642263591*c_0101_4^17 - 119422778363/107642263591*c_0101_4^16 - 17270986875969/107642263591*c_0101_4^15 + 53342960823793/107642263591*c_0101_4^14 + 158380640554614/107642263591*c_0101_4^13 - 1031740373907865/107642263591*c_0101_4^12 + 1386546404709168/107642263591*c_0101_4^11 + 1726513024964102/107642263591*c_0101_4^10 - 7170387437376642/107642263591*c_0101_4^9 + 355626379927488/4680098417*c_0101_4^8 - 3222007412565891/107642263591*c_0101_4^7 - 1061216509360652/107642263591*c_0101_4^6 + 1338913856209660/107642263591*c_0101_4^5 - 311373765548772/107642263591*c_0101_4^4 - 55649415424842/107642263591*c_0101_4^3 + 28446162827637/107642263591*c_0101_4^2 - 392197484399/107642263591*c_0101_4 - 587211294576/107642263591, c_0101_0 + 410257893947/107642263591*c_0101_4^17 - 234520912218/107642263591*c_0101_4^16 - 21826350002930/107642263591*c_0101_4^15 + 71887817635666/107642263591*c_0101_4^14 + 187802943589876/107642263591*c_0101_4^13 - 1349105906819529/107642263591*c_0101_4^12 + 2005858555941561/107642263591*c_0101_4^11 + 1905610602897665/107642263591*c_0101_4^10 - 417818706508952/4680098417*c_0101_4^9 + 12030811864928165/107642263591*c_0101_4^8 - 5617203274161314/107642263591*c_0101_4^7 - 1071185126038486/107642263591*c_0101_4^6 + 2086935891308988/107642263591*c_0101_4^5 - 594850915066362/107642263591*c_0101_4^4 - 71449077399177/107642263591*c_0101_4^3 + 49799185124506/107642263591*c_0101_4^2 - 1526411297844/107642263591*c_0101_4 - 967290932722/107642263591, c_0101_1 + 268799448414/107642263591*c_0101_4^17 - 95298728521/107642263591*c_0101_4^16 - 14304644418036/107642263591*c_0101_4^15 + 43989063852543/107642263591*c_0101_4^14 + 131710053786141/107642263591*c_0101_4^13 - 852621013251385/107642263591*c_0101_4^12 + 1137522885210264/107642263591*c_0101_4^11 + 1442306733433627/107642263591*c_0101_4^10 - 257223816673000/4680098417*c_0101_4^9 + 6700466030525970/107642263591*c_0101_4^8 - 2598350032111230/107642263591*c_0101_4^7 - 891136258481457/107642263591*c_0101_4^6 + 1089563853180126/107642263591*c_0101_4^5 - 249744940171221/107642263591*c_0101_4^4 - 45197128421432/107642263591*c_0101_4^3 + 23638955772516/107642263591*c_0101_4^2 - 519203589435/107642263591*c_0101_4 - 561209327201/107642263591, c_0101_4^18 - c_0101_4^17 - 53*c_0101_4^16 + 198*c_0101_4^15 + 385*c_0101_4^14 - 3490*c_0101_4^13 + 6273*c_0101_4^12 + 2670*c_0101_4^11 - 25515*c_0101_4^10 + 39065*c_0101_4^9 - 25515*c_0101_4^8 + 2670*c_0101_4^7 + 6273*c_0101_4^6 - 3490*c_0101_4^5 + 385*c_0101_4^4 + 198*c_0101_4^3 - 53*c_0101_4^2 - c_0101_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB