Magma V2.19-8 Wed Aug 21 2013 00:58:09 on localhost [Seed = 3465073753] Type ? for help. Type -D to quit. Loading file "L13n4737__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4737 geometric_solution 11.99573494 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 -1 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 0.093451817797 0.535934281606 0 5 6 3 0132 0132 0132 0321 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 -1 0 1 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 0.490783199030 1.015993202389 7 0 4 8 0132 0132 2103 0132 0 0 1 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 0 0 0 0 -1 0 1 2 0 0 -2 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490783199030 1.015993202389 9 1 8 0 0132 0321 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.872469180617 1.037767809241 2 10 0 9 2103 0132 0132 0213 0 0 0 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 0 0 0 2 1 -3 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 0.872469180617 1.037767809241 11 1 8 12 0132 0132 0213 0132 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 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 1.246273428634 0.841118040351 7 12 9 1 3120 0132 1023 0132 0 0 1 1 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 1 -1 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.323398666278 0.950066775572 2 11 12 6 0132 0132 2103 3120 1 0 1 1 0 0 -1 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 -1 -2 3 -2 0 2 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 0.296206653062 1.164516706629 10 5 2 3 2031 0213 0132 1302 0 0 0 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 0 0 0 0 0 0 0 0 0 -1 1 -2 0 2 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 0.158881959649 1.246273428634 3 12 6 4 0132 1302 1023 0213 0 0 0 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 0 0 0 -2 -1 3 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 0.525358485582 0.564567431762 11 4 8 11 3201 0132 1302 1302 0 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 0 0 0 0 0 0 0 0 0 0 0 -2 2 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 0.905494671309 1.193551693976 5 7 10 10 0132 0132 2031 2310 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 0 0 0 0 0 0 0 0 1 -1 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 0.596569293780 0.531770553784 7 6 5 9 2103 0132 0132 2031 0 0 1 1 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 0 0 0 0 0 0 0 0 -2 0 0 2 2 -3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.564567431762 0.474641514418 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0110_8'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_10']), 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_8']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_3']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_8']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : d['c_0110_8'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1010_8'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0110_8']), 'c_1100_1' : negation(d['c_0110_8']), 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_1010_8']), 'c_1010_8' : d['c_1010_8'], 'c_1100_8' : d['c_0101_3'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1010_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_11'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0101_9' : negation(d['c_0011_3']), 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_1, c_0101_11, c_0101_3, c_0101_6, c_0110_8, c_1001_0, c_1001_1, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 35/4*c_1010_8 - 169/4, c_0011_0 - 1, c_0011_10 + 1/2*c_1010_8, c_0011_12 - 1, c_0011_3 + 1, c_0011_8 + 1, c_0101_1 - 1/2*c_1010_8, c_0101_11 - 1/2*c_1010_8 + 1, c_0101_3 - 1, c_0101_6 - 1, c_0110_8 + c_1010_8 + 1, c_1001_0 + 1, c_1001_1 + 1/2*c_1010_8 + 1, c_1010_8^2 - 4*c_1010_8 - 4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_8, c_0101_1, c_0101_11, c_0101_3, c_0101_6, c_0110_8, c_1001_0, c_1001_1, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 608723937585/4795755609088*c_1010_8^9 + 515191443997/1198938902272*c_1010_8^8 + 10820648529445/4795755609088*c_1010_8^7 + 4420069277847/1198938902272*c_1010_8^6 - 7519133232793/2397877804544*c_1010_8^5 - 13513471051257/1198938902272*c_1010_8^4 - 9938670487727/4795755609088*c_1010_8^3 + 2021616398143/299734725568*c_1010_8^2 + 18473487013797/1198938902272*c_1010_8 - 518126088039/149867362784, c_0011_0 - 1, c_0011_10 + 15549979/2583920048*c_1010_8^9 + 7409871/322990006*c_1010_8^8 + 326538527/2583920048*c_1010_8^7 + 41437352/161495003*c_1010_8^6 + 165680985/1291960024*c_1010_8^5 - 163494473/645980012*c_1010_8^4 - 930436101/2583920048*c_1010_8^3 - 226292797/645980012*c_1010_8^2 + 629465137/645980012*c_1010_8 + 50736711/161495003, c_0011_12 + 551681197/74933681392*c_1010_8^9 + 717989773/37466840696*c_1010_8^8 + 8443262857/74933681392*c_1010_8^7 + 4681984181/37466840696*c_1010_8^6 - 10941532481/37466840696*c_1010_8^5 - 1405032238/4683355087*c_1010_8^4 + 52912505717/74933681392*c_1010_8^3 + 9690661899/37466840696*c_1010_8^2 + 3300576289/18733420348*c_1010_8 - 10178284967/9366710174, c_0011_3 + 1, c_0011_8 - 254395393/37466840696*c_1010_8^9 - 48989603/4683355087*c_1010_8^8 - 2923932837/37466840696*c_1010_8^7 + 209302767/4683355087*c_1010_8^6 + 11167379093/18733420348*c_1010_8^\ 5 + 5771918495/9366710174*c_1010_8^4 - 17265826593/37466840696*c_1010_8^3 - 9276736811/9366710174*c_1010_8^2 - 10107773497/9366710174*c_1010_8 + 3630224449/4683355087, c_0101_1 - 41691687/4683355087*c_1010_8^9 - 677025871/18733420348*c_1010_8^8 - 1676618973/9366710174*c_1010_8^7 - 6896919971/18733420348*c_1010_8^6 + 369515443/9366710174*c_1010_8^5 + 8613532625/9366710174*c_1010_8^4 + 3873148791/4683355087*c_1010_8^3 - 1027002919/18733420348*c_1010_8^2 - 6575759067/9366710174*c_1010_8 - 3339259439/4683355087, c_0101_11 - 148941493/37466840696*c_1010_8^9 - 183459467/9366710174*c_1010_8^8 - 3371165293/37466840696*c_1010_8^7 - 1935586431/9366710174*c_1010_8^6 - 575678261/18733420348*c_1010_8^5 + 6922547633/9366710174*c_1010_8^4 + 25827674379/37466840696*c_1010_8^3 - 2577901264/4683355087*c_1010_8^2 - 3253037510/4683355087*c_1010_8 - 3024144717/4683355087, c_0101_3 - 101107321/9366710174*c_1010_8^9 - 671135069/18733420348*c_1010_8^8 - 1830806679/9366710174*c_1010_8^7 - 6120806365/18733420348*c_1010_8^6 + 665406698/4683355087*c_1010_8^5 + 5969912861/9366710174*c_1010_8^4 - 2082583671/9366710174*c_1010_8^3 - 533163357/18733420348*c_1010_8^2 - 962539090/4683355087*c_1010_8 - 244550628/4683355087, c_0101_6 + 274313151/74933681392*c_1010_8^9 + 23547325/18733420348*c_1010_8^8 + 2042298955/74933681392*c_1010_8^7 - 1955488213/18733420348*c_1010_8^6 - 17054305479/37466840696*c_1010_8^5 - 5596795547/18733420348*c_1010_8^4 + 40665976175/74933681392*c_1010_8^3 + 3090012247/9366710174*c_1010_8^2 + 8781488471/18733420348*c_1010_8 - 2141702649/4683355087, c_0110_8 - 101107321/9366710174*c_1010_8^9 - 671135069/18733420348*c_1010_8^8 - 1830806679/9366710174*c_1010_8^7 - 6120806365/18733420348*c_1010_8^6 + 665406698/4683355087*c_1010_8^5 + 5969912861/9366710174*c_1010_8^4 - 2082583671/9366710174*c_1010_8^3 - 533163357/18733420348*c_1010_8^2 - 962539090/4683355087*c_1010_8 - 244550628/4683355087, c_1001_0 - 274313151/74933681392*c_1010_8^9 - 23547325/18733420348*c_1010_8^8 - 2042298955/74933681392*c_1010_8^7 + 1955488213/18733420348*c_1010_8^6 + 17054305479/37466840696*c_1010_8^5 + 5596795547/18733420348*c_1010_8^4 - 40665976175/74933681392*c_1010_8^3 - 3090012247/9366710174*c_1010_8^2 - 8781488471/18733420348*c_1010_8 + 2141702649/4683355087, c_1001_1 - 357909177/74933681392*c_1010_8^9 - 241362551/18733420348*c_1010_8^8 - 5176836149/74933681392*c_1010_8^7 - 1314073533/18733420348*c_1010_8^6 + 10128002149/37466840696*c_1010_8^5 + 7198486005/18733420348*c_1010_8^4 - 43643316297/74933681392*c_1010_8^3 - 3547827235/9366710174*c_1010_8^2 - 4329087735/18733420348*c_1010_8 + 1226813991/4683355087, c_1010_8^10 + 4*c_1010_8^9 + 21*c_1010_8^8 + 44*c_1010_8^7 + 14*c_1010_8^6 - 68*c_1010_8^5 - 95*c_1010_8^4 - 64*c_1010_8^3 + 116*c_1010_8^2 + 96*c_1010_8 + 128 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB