Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 2968595555] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1261 geometric_solution 5.16148543 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.038985762564 0.505538978632 0 1 0 1 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.030503220186 0.954093365844 4 3 5 0 0132 3012 0132 0132 0 0 0 0 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 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 1.266759746639 1.404692314412 2 4 0 5 1230 2310 0132 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 -1 0 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 1.266759746639 1.404692314412 2 4 4 3 0132 3201 2310 3201 0 0 0 0 0 1 -1 0 1 0 -1 0 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.513159619555 0.548834108606 3 6 6 2 3201 0132 3201 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.098950271215 0.476721132382 5 5 6 6 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.156782502096 0.869230694612 ==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_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0101_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_2, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 307577817343/67118883525*c_0101_6^10 + 2432968637756/67118883525*c_0101_6^9 - 2267636535779/22372961175*c_0101_6^8 - 7233211396078/22372961175*c_0101_6^7 + 6884585147656/7457653725*c_0101_6^6 + 5408306256088/4474592235*c_0101_6^5 - 5594914094884/2684755341*c_0101_6^4 - 34243906095176/67118883525*c_0101_6^3 + 2981848810642/4474592235*c_0101_6^2 + 10036337580866/67118883525*c_0101_6 - 7741196331029/67118883525, c_0011_0 - 1, c_0011_2 + 5274541/28868337*c_0101_6^10 + 39599282/28868337*c_0101_6^9 - 133182064/28868337*c_0101_6^8 - 323034310/28868337*c_0101_6^7 + 1206327598/28868337*c_0101_6^6 + 944923336/28868337*c_0101_6^5 - 2903034850/28868337*c_0101_6^4 + 148524296/9622779*c_0101_6^3 + 872505572/28868337*c_0101_6^2 - 135791011/28868337*c_0101_6 - 27591152/9622779, c_0011_5 - 261199/9622779*c_0101_6^10 - 1480939/9622779*c_0101_6^9 + 3472071/3207593*c_0101_6^8 + 5670862/9622779*c_0101_6^7 - 93348436/9622779*c_0101_6^6 + 45700265/9622779*c_0101_6^5 + 89604961/3207593*c_0101_6^4 - 213922843/9622779*c_0101_6^3 - 81658067/9622779*c_0101_6^2 + 33805622/9622779*c_0101_6 + 13194802/9622779, c_0101_0 - 5848615/28868337*c_0101_6^10 - 45818116/28868337*c_0101_6^9 + 44344297/9622779*c_0101_6^8 + 44862549/3207593*c_0101_6^7 - 1214682158/28868337*c_0101_6^6 - 161834354/3207593*c_0101_6^5 + 2817975866/28868337*c_0101_6^4 + 425987141/28868337*c_0101_6^3 - 974916578/28868337*c_0101_6^2 + 244144/3207593*c_0101_6 + 76195511/28868337, c_0101_1 - 14015209/28868337*c_0101_6^10 - 105998482/28868337*c_0101_6^9 + 347350700/28868337*c_0101_6^8 + 872801552/28868337*c_0101_6^7 - 3139614985/28868337*c_0101_6^6 - 2644759916/28868337*c_0101_6^5 + 7409594432/28868337*c_0101_6^4 - 890914217/28868337*c_0101_6^3 - 649388288/9622779*c_0101_6^2 + 82869749/9622779*c_0101_6 + 148037173/28868337, c_0101_2 + 11599571/28868337*c_0101_6^10 + 29532203/9622779*c_0101_6^9 - 31208034/3207593*c_0101_6^8 - 743131804/28868337*c_0101_6^7 + 848726728/9622779*c_0101_6^6 + 2371004393/28868337*c_0101_6^5 - 1990851545/9622779*c_0101_6^4 + 353604599/28868337*c_0101_6^3 + 1680426961/28868337*c_0101_6^2 - 49558654/9622779*c_0101_6 - 40069555/9622779, c_0101_6^11 + 7*c_0101_6^10 - 29*c_0101_6^9 - 48*c_0101_6^8 + 258*c_0101_6^7 + 60*c_0101_6^6 - 625*c_0101_6^5 + 368*c_0101_6^4 + 80*c_0101_6^3 - 88*c_0101_6^2 + 2*c_0101_6 + 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB