Magma V2.19-8 Tue Aug 20 2013 16:16:18 on localhost [Seed = 2682127230] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0572 geometric_solution 4.59319814 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 2031 0 0 0 0 0 -1 -1 2 0 0 -1 1 1 -2 0 1 1 -1 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 0.292140310541 0.081425584532 0 2 0 2 0132 0132 1023 2310 0 0 0 0 0 -1 1 0 0 0 1 -1 -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 -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 -2.952384088660 3.853252600209 1 1 3 4 3201 0132 0132 0132 0 0 0 0 0 1 -1 0 -1 0 1 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 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126496314897 0.303446894932 4 4 5 2 1023 3012 0132 0132 0 0 0 0 0 0 -1 1 0 0 1 -1 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 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.482538422034 1.079591147847 3 3 2 5 1230 1023 0132 3201 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 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 0.482538422034 1.079591147847 6 4 6 3 0132 2310 1023 0132 0 0 0 0 0 0 -1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.897750561839 1.117293877847 5 6 5 6 0132 1302 1023 2031 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 0 0 0 0 0 0 0 0.437534932276 0.311282240432 ==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_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_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(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_3'], 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_4']), '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_3, c_0011_5, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t + 2549743340068347471/45576607765513333*c_0101_5^22 - 75491318002633004440/45576607765513333*c_0101_5^20 + 284019326504140893434/45576607765513333*c_0101_5^18 + 232789414236099202008/45576607765513333*c_0101_5^16 + 865335294628890469981/45576607765513333*c_0101_5^14 - 2504016224149945573000/45576607765513333*c_0101_5^12 - 189394530287082227458/45576607765513333*c_0101_5^10 - 383761330936643403470/45576607765513333*c_0101_5^8 + 95669181522148299845/45576607765513333*c_0101_5^6 + 171095532570974057101/45576607765513333*c_0101_5^4 + 5385605730360507965/45576607765513333*c_0101_5^2 - 7831822214318098780/45576607765513333, c_0011_0 - 1, c_0011_3 + 45643698467236932/45576607765513333*c_0101_5^23 - 1348348617322307600/45576607765513333*c_0101_5^21 + 4997112730522759922/45576607765513333*c_0101_5^19 + 4419956901730152684/45576607765513333*c_0101_5^17 + 16097470772536234072/45576607765513333*c_0101_5^15 - 43551040544053576546/45576607765513333*c_0101_5^13 - 5382058782431033851/45576607765513333*c_0101_5^11 - 9986187840122096444/45576607765513333*c_0101_5^9 + 1283435204563016678/45576607765513333*c_0101_5^7 + 2558978366832346139/45576607765513333*c_0101_5^5 + 473106707325276994/45576607765513333*c_0101_5^3 - 63650515291787522/45576607765513333*c_0101_5, c_0011_5 - 17390939253356097/45576607765513333*c_0101_5^22 + 511723388062495959/45576607765513333*c_0101_5^20 - 1842694910291466280/45576607765513333*c_0101_5^18 - 1954810054210842377/45576607765513333*c_0101_5^16 - 6133493653371693729/45576607765513333*c_0101_5^14 + 16002039849463012364/45576607765513333*c_0101_5^12 + 4511007796560627186/45576607765513333*c_0101_5^10 + 2293996405871118397/45576607765513333*c_0101_5^8 + 109386518948839304/45576607765513333*c_0101_5^6 - 1213272472213816394/45576607765513333*c_0101_5^4 - 184282913857976560/45576607765513333*c_0101_5^2 + 58599842400014031/45576607765513333, c_0101_0 - 35674653839318957/45576607765513333*c_0101_5^22 + 1052585195245557576/45576607765513333*c_0101_5^20 - 3866339533308455009/45576607765513333*c_0101_5^18 - 3647819439013504267/45576607765513333*c_0101_5^16 - 12496648286934535520/45576607765513333*c_0101_5^14 + 33738774988523996977/45576607765513333*c_0101_5^12 + 6020555698664451384/45576607765513333*c_0101_5^10 + 6112845078408644627/45576607765513333*c_0101_5^8 - 690759570340178481/45576607765513333*c_0101_5^6 - 2268941788640164605/45576607765513333*c_0101_5^4 - 340239302265374382/45576607765513333*c_0101_5^2 + 71874782243521550/45576607765513333, c_0101_1 + 159383950592567034/45576607765513333*c_0101_5^23 - 4710533526170656960/45576607765513333*c_0101_5^21 + 17504376188784928257/45576607765513333*c_0101_5^19 + 15504261159466582937/45576607765513333*c_0101_5^17 + 54790164284679343142/45576607765513333*c_0101_5^15 - 153668603737016543416/45576607765513333*c_0101_5^13 - 20219495542486972874/45576607765513333*c_0101_5^11 - 23920775959663932606/45576607765513333*c_0101_5^9 + 4379295040057794804/45576607765513333*c_0101_5^7 + 11010858002149914953/45576607765513333*c_0101_5^5 + 702760722753381989/45576607765513333*c_0101_5^3 - 468322130427635463/45576607765513333*c_0101_5, c_0101_4 + 143235691355693668/45576607765513333*c_0101_5^23 - 4227628003450542327/45576607765513333*c_0101_5^21 + 15563544114166005292/45576607765513333*c_0101_5^19 + 14565515329911719636/45576607765513333*c_0101_5^17 + 49728360573525538234/45576607765513333*c_0101_5^15 - 136114857853669693457/45576607765513333*c_0101_5^13 - 23708543782885335260/45576607765513333*c_0101_5^11 - 21653688594662216910/45576607765513333*c_0101_5^9 + 2433957017501528624/45576607765513333*c_0101_5^7 + 10274728544415989188/45576607765513333*c_0101_5^5 + 907268485139237824/45576607765513333*c_0101_5^3 - 410341272744599081/45576607765513333*c_0101_5, c_0101_5^24 - 30*c_0101_5^22 + 123*c_0101_5^20 + 48*c_0101_5^18 + 302*c_0101_5^16 - 1117*c_0101_5^14 + 306*c_0101_5^12 - 108*c_0101_5^10 + 101*c_0101_5^8 + 55*c_0101_5^6 - 24*c_0101_5^4 - 5*c_0101_5^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB