Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 122067750] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s335 geometric_solution 4.52693864 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 6 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456948372977 0.164464227686 2 0 3 0 0132 2310 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605600721396 0.532860428045 1 4 3 3 0132 0132 3012 2310 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 -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 0.698560780450 1.416691983641 2 2 4 1 3201 1230 3201 0132 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698560780450 1.416691983641 3 2 5 5 2310 0132 3201 0132 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 1 0 0 -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 -0.815477395914 0.971430352462 4 5 4 5 2310 2310 0132 3201 0 0 0 0 0 1 -1 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 -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 -0.375173553043 0.804784697769 ==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' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), '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_1'], 'c_0101_4' : d['c_0011_3'], '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_5'], 'c_0011_4' : d['c_0011_1'], '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_0011_3']), 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), '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' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_1'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_3']), '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_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 352/9*c_0101_1^3 - 896/3*c_0101_1^2 + 2933/9*c_0101_1 + 68/9, c_0011_0 - 1, c_0011_1 - 1/2*c_0101_1^3 + 7/2*c_0101_1^2 - 3/2*c_0101_1 - 1, c_0011_3 - 1/2*c_0101_1^3 + 7/2*c_0101_1^2 - 3/2*c_0101_1, c_0011_5 - 1/2*c_0101_1^3 + 3*c_0101_1^2 - 1/2, c_0101_0 + 1/2*c_0101_1^3 - 7/2*c_0101_1^2 + 5/2*c_0101_1, c_0101_1^4 - 8*c_0101_1^3 + 11*c_0101_1^2 - 2*c_0101_1 - 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_0011_5, c_0101_0, c_0101_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 184367520973919/10028342403632*c_0101_1^12 - 331025677359579/2507085600908*c_0101_1^11 + 105640077517201/626771400227*c_0101_1^10 - 32215013663943/2507085600908*c_0101_1^9 + 3045543098011923/5014171201816*c_0101_1^8 + 9022440292700223/5014171201816*c_0101_1^7 + 15232176882084805/10028342403632*c_0101_1^6 - 2986406844493965/5014171201816*c_0101_1^5 - 3643015697906047/1253542800454*c_0101_1^4 - 8856294968990817/10028342403632*c_0101_1^3 - 3801649864444695/10028342403632*c_0101_1^2 - 612373108253327/10028342403632*c_0101_1 - 170077094870007/10028342403632, c_0011_0 - 1, c_0011_1 - 107771750/89538771461*c_0101_1^12 + 1393589699/89538771461*c_0101_1^11 - 5284938152/89538771461*c_0101_1^10 + 4554916432/89538771461*c_0101_1^9 - 564282927/89538771461*c_0101_1^8 - 692977863/89538771461*c_0101_1^7 + 70671860578/89538771461*c_0101_1^6 + 64005967611/89538771461*c_0101_1^5 + 39156196798/89538771461*c_0101_1^4 + 14805584977/89538771461*c_0101_1^3 + 14143497046/89538771461*c_0101_1^2 - 38355015153/89538771461*c_0101_1 - 55120700581/89538771461, c_0011_3 + 116940938745/1432620343376*c_0101_1^12 - 464823302199/716310171688*c_0101_1^11 + 877428680389/716310171688*c_0101_1^10 - 594612680499/716310171688*c_0101_1^9 + 1089460412171/358155085844*c_0101_1^8 + 2090256615977/358155085844*c_0101_1^7 + 2097187679637/1432620343376*c_0101_1^6 - 3880644704991/716310171688*c_0101_1^5 - 3494617874213/358155085844*c_0101_1^4 + 6224554668357/1432620343376*c_0101_1^3 - 4306841428231/1432620343376*c_0101_1^2 + 596374139535/1432620343376*c_0101_1 - 425452181567/1432620343376, c_0011_5 + 87685208109/358155085844*c_0101_1^12 - 623587484951/358155085844*c_0101_1^11 + 765039804031/358155085844*c_0101_1^10 - 41331452863/358155085844*c_0101_1^9 + 2927749199057/358155085844*c_0101_1^8 + 8794977832457/358155085844*c_0101_1^7 + 4012082769607/179077542922*c_0101_1^6 - 861602448465/179077542922*c_0101_1^5 - 6695105401967/179077542922*c_0101_1^4 - 4961626319341/358155085844*c_0101_1^3 - 1483389457993/179077542922*c_0101_1^2 - 944383431049/358155085844*c_0101_1 - 181605727441/179077542922, c_0101_0 - 39924975351/716310171688*c_0101_1^12 + 119786296173/358155085844*c_0101_1^11 - 21306497439/358155085844*c_0101_1^10 - 145360778899/358155085844*c_0101_1^9 - 363067158057/179077542922*c_0101_1^8 - 1357355717901/179077542922*c_0101_1^7 - 8424156200771/716310171688*c_0101_1^6 - 1961374019375/358155085844*c_0101_1^5 + 1709637824369/179077542922*c_0101_1^4 + 10647975524229/716310171688*c_0101_1^3 + 5561929207081/716310171688*c_0101_1^2 + 1463348620783/716310171688*c_0101_1 + 660257335849/716310171688, c_0101_1^13 - 7*c_0101_1^12 + 8*c_0101_1^11 + 34*c_0101_1^9 + 104*c_0101_1^8 + 105*c_0101_1^7 - 3*c_0101_1^6 - 150*c_0101_1^5 - 79*c_0101_1^4 - 52*c_0101_1^3 - 18*c_0101_1^2 - 6*c_0101_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB