Magma V2.19-8 Tue Aug 20 2013 16:17:09 on localhost [Seed = 3920131389] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1401 geometric_solution 5.24681457 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 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 0.496622221584 0.406877786881 3 4 2 0 0132 0132 2031 0132 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 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 0.595381890934 0.653937894104 4 3 0 1 2310 3201 0132 1302 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 -1 1 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 0.595381890934 0.653937894104 1 5 2 5 0132 0132 2310 1023 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 -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 1.093917063292 1.154883227689 4 1 2 4 3012 0132 3201 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.238753413471 0.836115436611 6 3 6 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.614650995033 0.233405950157 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600141915547 0.065799732074 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_1']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 1078980550358/24114910691*c_0101_6^15 + 9706754458109/24114910691*c_0101_6^14 - 19173437439764/24114910691*c_0101_6^13 - 83785853206220/24114910691*c_0101_6^12 + 507917687123195/24114910691*c_0101_6^11 - 1168613640499224/24114910691*c_0101_6^10 + 1573323091935296/24114910691*c_0101_6^9 - 1456487364916039/24114910691*c_0101_6^8 + 874135927937853/24114910691*c_0101_6^7 + 53653698891025/24114910691*c_0101_6^6 - 817801999265710/24114910691*c_0101_6^5 + 985009572784428/24114910691*c_0101_6^4 - 716303609720692/24114910691*c_0101_6^3 + 326861394210243/24114910691*c_0101_6^2 - 73272121696597/24114910691*c_0101_6 + 5772374680567/24114910691, c_0011_0 - 1, c_0011_1 + 26460642432/24114910691*c_0101_6^15 - 229054931896/24114910691*c_0101_6^14 + 397777223842/24114910691*c_0101_6^13 + 2147446003883/24114910691*c_0101_6^12 - 11678295258743/24114910691*c_0101_6^11 + 25163297153508/24114910691*c_0101_6^10 - 32043643091226/24114910691*c_0101_6^9 + 28422618313956/24114910691*c_0101_6^8 - 15596216726656/24114910691*c_0101_6^7 - 3685945055151/24114910691*c_0101_6^6 + 17787325163376/24114910691*c_0101_6^5 - 19561348411440/24114910691*c_0101_6^4 + 13388403197152/24114910691*c_0101_6^3 - 5547799678116/24114910691*c_0101_6^2 + 1069478550809/24114910691*c_0101_6 - 46404372170/24114910691, c_0101_1 - 64437924404/24114910691*c_0101_6^15 + 560736598674/24114910691*c_0101_6^14 - 988018901931/24114910691*c_0101_6^13 - 5224734133732/24114910691*c_0101_6^12 + 28676794081409/24114910691*c_0101_6^11 - 62039537494518/24114910691*c_0101_6^10 + 79301500869567/24114910691*c_0101_6^9 - 70895076092918/24114910691*c_0101_6^8 + 39615727407378/24114910691*c_0101_6^7 + 8243842374847/24114910691*c_0101_6^6 - 43412056127591/24114910691*c_0101_6^5 + 48397100406574/24114910691*c_0101_6^4 - 33775130430942/24114910691*c_0101_6^3 + 14254255034649/24114910691*c_0101_6^2 - 3032696135100/24114910691*c_0101_6 + 228162785089/24114910691, c_0101_2 + 41384712721/24114910691*c_0101_6^15 - 351921543579/24114910691*c_0101_6^14 + 574632409877/24114910691*c_0101_6^13 + 3396479989490/24114910691*c_0101_6^12 - 17688439925849/24114910691*c_0101_6^11 + 37213999896900/24114910691*c_0101_6^10 - 46804330785784/24114910691*c_0101_6^9 + 41456715391921/24114910691*c_0101_6^8 - 22353241356851/24114910691*c_0101_6^7 - 5945814845139/24114910691*c_0101_6^6 + 25933828390492/24114910691*c_0101_6^5 - 28480583579147/24114910691*c_0101_6^4 + 19508511555413/24114910691*c_0101_6^3 - 8052565975298/24114910691*c_0101_6^2 + 1696095351968/24114910691*c_0101_6 - 106058989404/24114910691, c_0101_4 + 111268501236/24114910691*c_0101_6^15 - 949849831480/24114910691*c_0101_6^14 + 1575627632552/24114910691*c_0101_6^13 + 9089411325795/24114910691*c_0101_6^12 - 47889544429631/24114910691*c_0101_6^11 + 101562196666324/24114910691*c_0101_6^10 - 128561938699670/24114910691*c_0101_6^9 + 114352203373962/24114910691*c_0101_6^8 - 62499274099017/24114910691*c_0101_6^7 - 14938903877032/24114910691*c_0101_6^6 + 70695580612969/24114910691*c_0101_6^5 - 78265130254016/24114910691*c_0101_6^4 + 54020772496588/24114910691*c_0101_6^3 - 22711819806601/24114910691*c_0101_6^2 + 4849363264501/24114910691*c_0101_6 - 360180832841/24114910691, c_0101_5 + 59701821592/24114910691*c_0101_6^15 - 522644441784/24114910691*c_0101_6^14 + 942622400693/24114910691*c_0101_6^13 + 4794028675742/24114910691*c_0101_6^12 - 26833852733883/24114910691*c_0101_6^11 + 58881911963790/24114910691*c_0101_6^10 - 76345195723340/24114910691*c_0101_6^9 + 69032299775295/24114910691*c_0101_6^8 - 39437769631757/24114910691*c_0101_6^7 - 6300043108733/24114910691*c_0101_6^6 + 41030264668065/24114910691*c_0101_6^5 - 46942962302592/24114910691*c_0101_6^4 + 33226608319913/24114910691*c_0101_6^3 - 14431499925254/24114910691*c_0101_6^2 + 3206711075094/24114910691*c_0101_6 - 248912331605/24114910691, c_0101_6^16 - 9*c_0101_6^15 + 18*c_0101_6^14 + 76*c_0101_6^13 - 469*c_0101_6^12 + 1102*c_0101_6^11 - 1539*c_0101_6^10 + 1497*c_0101_6^9 - 969*c_0101_6^8 + 73*c_0101_6^7 + 713*c_0101_6^6 - 970*c_0101_6^5 + 767*c_0101_6^4 - 391*c_0101_6^3 + 118*c_0101_6^2 - 18*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB