Magma V2.19-8 Tue Aug 20 2013 16:16:43 on localhost [Seed = 1090575754] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1001 geometric_solution 4.88688578 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 1302 0132 2031 0 0 0 0 0 -1 1 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 1 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 -0.354134561114 0.357097374674 0 2 4 3 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.857957910719 1.443889630370 5 4 1 0 0132 1023 2310 0132 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 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 1.857957910719 1.443889630370 6 4 1 6 0132 3201 0132 1023 0 0 0 0 0 0 0 0 0 0 1 -1 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 0 0 0 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 0.502346288474 0.310187578332 2 5 3 1 1023 2310 2310 0132 0 0 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 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 1.084024135303 0.413663432739 2 6 6 4 0132 3201 2310 3201 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 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 0.502346288474 0.310187578332 3 5 5 3 0132 3201 2310 1023 0 0 0 0 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 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 0.558828965883 0.889890824898 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : negation(d['c_0011_2']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), '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_0101_0']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], '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_2, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 1140963234416775479/1959444579298662144*c_0101_6^18 + 5505323849183302381/301453012199794176*c_0101_6^16 - 1198518510782657811301/3918889158597324288*c_0101_6^14 + 952020342767452456595/326574096549777024*c_0101_6^12 - 5070902438169055502863/301453012199794176*c_0101_6^10 + 15763927156366842970627/301453012199794176*c_0101_6^8 - 82626441710948776782569/979722289649331072*c_0101_6^6 + 8268485931591482221639/122465286206166384*c_0101_6^4 - 733419475006838141707/30616321551541596*c_0101_6^2 + 33688484037710893099/15308160775770798, c_0011_0 - 1, c_0011_2 + 3037365950411911/489861144824665536*c_0101_6^19 - 14752581387604259/75363253049948544*c_0101_6^17 + 1613869930445384251/489861144824665536*c_0101_6^15 - 10335134633873623447/326574096549777024*c_0101_6^13 + 13900506347730220223/75363253049948544*c_0101_6^11 - 22015683074788674337/37681626524974272*c_0101_6^9 + 944282907762521991007/979722289649331072*c_0101_6^7 - 96501119910356758643/122465286206166384*c_0101_6^5 + 17337537205795060699/61232643103083192*c_0101_6^3 - 196217485552687201/7654080387885399*c_0101_6, c_0101_0 - 1499064836785847/979722289649331072*c_0101_6^18 + 7224837290804077/150726506099897088*c_0101_6^16 - 1571977823391244357/1959444579298662144*c_0101_6^14 + 1247716182105012527/163287048274888512*c_0101_6^12 - 6644089846215661087/150726506099897088*c_0101_6^10 + 20663234390477290627/150726506099897088*c_0101_6^8 - 109044533750821430693/489861144824665536*c_0101_6^6 + 22038555449446906469/122465286206166384*c_0101_6^4 - 481819222204925468/7654080387885399*c_0101_6^2 + 41535818402437972/7654080387885399, c_0101_1 + 124941228545917/489861144824665536*c_0101_6^18 - 644369416730771/75363253049948544*c_0101_6^16 + 147119133833124893/979722289649331072*c_0101_6^14 - 250650169848688655/163287048274888512*c_0101_6^12 + 726041761516547837/75363253049948544*c_0101_6^10 - 2605523055589090667/75363253049948544*c_0101_6^8 + 31907284921511978627/489861144824665536*c_0101_6^6 - 7561262676485194367/122465286206166384*c_0101_6^4 + 436037062906205881/15308160775770798*c_0101_6^2 - 28429042059947926/7654080387885399, c_0101_2 - 875382896221819/61232643103083192*c_0101_6^19 + 16849265518183073/37681626524974272*c_0101_6^17 - 7320511499487589879/979722289649331072*c_0101_6^15 + 23181313890972435917/326574096549777024*c_0101_6^13 - 1920539514608857531/4710203315621784*c_0101_6^11 + 94675237675788647641/75363253049948544*c_0101_6^9 - 1960186164573471142589/979722289649331072*c_0101_6^7 + 96611753610913555517/61232643103083192*c_0101_6^5 - 16895690725600409491/30616321551541596*c_0101_6^3 + 771157735359359305/15308160775770798*c_0101_6, c_0101_4 + 875382896221819/61232643103083192*c_0101_6^19 - 16849265518183073/37681626524974272*c_0101_6^17 + 7320511499487589879/979722289649331072*c_0101_6^15 - 23181313890972435917/326574096549777024*c_0101_6^13 + 1920539514608857531/4710203315621784*c_0101_6^11 - 94675237675788647641/75363253049948544*c_0101_6^9 + 1960186164573471142589/979722289649331072*c_0101_6^7 - 96611753610913555517/61232643103083192*c_0101_6^5 + 16895690725600409491/30616321551541596*c_0101_6^3 - 771157735359359305/15308160775770798*c_0101_6, c_0101_6^20 - 63/2*c_0101_6^18 + 1059/2*c_0101_6^16 - 5078*c_0101_6^14 + 59141/2*c_0101_6^12 - 187473/2*c_0101_6^10 + 157030*c_0101_6^8 - 135576*c_0101_6^6 + 56832*c_0101_6^4 - 9344*c_0101_6^2 + 512 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB