Magma V2.19-8 Wed Aug 21 2013 00:58:10 on localhost [Seed = 2564719116] Type ? for help. Type -D to quit. Loading file "L13n4809__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4809 geometric_solution 12.02954025 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 2031 0132 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 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 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 0.655429708407 0.598279321148 0 3 5 4 0132 2103 0132 0132 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 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 0.671272368770 0.380920125902 6 0 7 0 0132 0132 0132 1302 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 0 0 0 0 0 0 0 0 0 1 0 -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 0.722874486934 1.255131007721 8 1 0 6 0132 2103 0132 1302 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 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.487954846656 1.123543366832 9 10 1 7 0132 0132 0132 2310 1 1 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292084512996 0.541974822720 11 11 12 1 0132 1302 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406953451115 1.234717670824 2 7 3 12 0132 3120 2031 1302 1 1 1 1 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 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653488102940 0.469945283124 4 6 9 2 3201 3120 1230 0132 1 1 1 1 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 4 -3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229058877409 0.689979353478 3 11 9 9 0132 3201 3120 2031 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 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 1.045973124699 2.103932475715 4 8 8 7 0132 1302 3120 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.900702633547 1.810743951056 11 4 12 12 1230 0132 0213 1230 1 0 1 1 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 -4 3 1 1 0 1 -2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406953451115 1.234717670824 5 10 8 5 0132 3012 2310 2031 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 -1 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 0 0.316083815424 0.658083708774 10 10 6 5 3012 0213 2031 0132 1 1 0 1 0 1 -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 0 0 -3 3 0 -1 0 0 1 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406953451115 1.234717670824 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0101_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0011_11'], '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_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_9' : negation(d['c_0101_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0101_7'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_7'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], '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_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0101_6, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 3005880054619/954381301022336*c_0101_8^12 - 5874586572739/954381301022336*c_0101_8^11 - 5638840748713/954381301022336*c_0101_8^10 + 40690664139319/1908762602044672*c_0101_8^9 + 38679145801089/1908762602044672*c_0101_8^8 + 28233044121111/954381301022336*c_0101_8^7 + 13526865049919/477190650511168*c_0101_8^6 - 4628489894391/86761936456576*c_0101_8^5 - 144930208660211/954381301022336*c_0101_8^4 - 130873498497495/477190650511168*c_0101_8^3 + 264605701072565/954381301022336*c_0101_8^2 + 342119546823063/1908762602044672*c_0101_8 - 28191221221657/1908762602044672, c_0011_0 - 1, c_0011_10 + 208374877/66535227344*c_0101_8^12 - 1280876655/66535227344*c_0101_8^11 - 2836605321/66535227344*c_0101_8^10 - 13978007705/133070454688*c_0101_8^9 + 4288944453/133070454688*c_0101_8^8 - 7837506293/66535227344*c_0101_8^7 + 2405045381/33267613672*c_0101_8^6 + 11788319595/66535227344*c_0101_8^5 + 10302203685/66535227344*c_0101_8^4 + 8962069841/33267613672*c_0101_8^3 - 21580180415/66535227344*c_0101_8^2 + 345300947911/133070454688*c_0101_8 + 129998097843/133070454688, c_0011_11 + 1, c_0011_3 + 3628293/313845412*c_0101_8^12 + 36353017/1255381648*c_0101_8^11 + 39506433/627690824*c_0101_8^10 + 42476035/1255381648*c_0101_8^9 + 262498141/2510763296*c_0101_8^8 + 56827027/1255381648*c_0101_8^7 + 27908945/627690824*c_0101_8^6 + 10586797/78461353*c_0101_8^5 + 37475875/1255381648*c_0101_8^4 + 106695013/313845412*c_0101_8^3 - 502349355/627690824*c_0101_8^2 + 130366765/1255381648*c_0101_8 - 791949191/2510763296, c_0011_7 - 260153943/33267613672*c_0101_8^12 - 861835531/33267613672*c_0101_8^11 - 2293005807/33267613672*c_0101_8^10 - 5548603361/66535227344*c_0101_8^9 - 8834140615/66535227344*c_0101_8^8 - 2127108705/16633806836*c_0101_8^7 - 5997283337/33267613672*c_0101_8^6 - 1553943935/8316903418*c_0101_8^5 + 1149655243/16633806836*c_0101_8^4 - 8089373231/33267613672*c_0101_8^3 + 1968618593/4158451709*c_0101_8^2 + 65964326545/66535227344*c_0101_8 + 63571686057/66535227344, c_0101_0 - 142840351/16633806836*c_0101_8^12 + 421403847/66535227344*c_0101_8^11 + 1518588859/33267613672*c_0101_8^10 + 12107117121/66535227344*c_0101_8^9 + 18151743235/133070454688*c_0101_8^8 + 25004813021/66535227344*c_0101_8^7 + 16793806005/33267613672*c_0101_8^6 + 2019286067/4158451709*c_0101_8^5 + 46255045305/66535227344*c_0101_8^4 + 14341274049/16633806836*c_0101_8^3 + 71364980265/33267613672*c_0101_8^2 - 61006615097/66535227344*c_0101_8 - 54038226241/133070454688, c_0101_1 + 784160461/33267613672*c_0101_8^12 + 5485236757/66535227344*c_0101_8^11 + 1736184867/8316903418*c_0101_8^10 + 8541803333/33267613672*c_0101_8^9 + 61420476425/133070454688*c_0101_8^8 + 36591702631/66535227344*c_0101_8^7 + 23569000945/33267613672*c_0101_8^6 + 23323853193/33267613672*c_0101_8^5 + 61004559475/66535227344*c_0101_8^4 + 14653073951/8316903418*c_0101_8^3 - 5364827979/16633806836*c_0101_8^2 - 2946300889/4158451709*c_0101_8 - 173325456927/133070454688, c_0101_12 - 3628293/313845412*c_0101_8^12 - 36353017/1255381648*c_0101_8^11 - 39506433/627690824*c_0101_8^10 - 42476035/1255381648*c_0101_8^9 - 262498141/2510763296*c_0101_8^8 - 56827027/1255381648*c_0101_8^7 - 27908945/627690824*c_0101_8^6 - 10586797/78461353*c_0101_8^5 - 37475875/1255381648*c_0101_8^4 - 106695013/313845412*c_0101_8^3 + 502349355/627690824*c_0101_8^2 - 130366765/1255381648*c_0101_8 + 791949191/2510763296, c_0101_2 + 784160461/33267613672*c_0101_8^12 + 5485236757/66535227344*c_0101_8^11 + 1736184867/8316903418*c_0101_8^10 + 8541803333/33267613672*c_0101_8^9 + 61420476425/133070454688*c_0101_8^8 + 36591702631/66535227344*c_0101_8^7 + 23569000945/33267613672*c_0101_8^6 + 23323853193/33267613672*c_0101_8^5 + 61004559475/66535227344*c_0101_8^4 + 14653073951/8316903418*c_0101_8^3 - 5364827979/16633806836*c_0101_8^2 - 2946300889/4158451709*c_0101_8 - 173325456927/133070454688, c_0101_5 - 1581344467/133070454688*c_0101_8^12 - 3399201103/133070454688*c_0101_8^11 - 6610849357/133070454688*c_0101_8^10 - 2446535137/266140909376*c_0101_8^9 - 22316096891/266140909376*c_0101_8^8 + 1670607993/133070454688*c_0101_8^7 + 3849192715/33267613672*c_0101_8^6 + 9441685229/133070454688*c_0101_8^5 + 12405524655/133070454688*c_0101_8^4 - 819977123/4158451709*c_0101_8^3 + 110443399295/133070454688*c_0101_\ 8^2 - 1873554861/266140909376*c_0101_8 - 2871170457/266140909376, c_0101_6 + 743272349/133070454688*c_0101_8^12 - 300653349/133070454688*c_0101_8^11 - 111392665/133070454688*c_0101_8^10 - 12848263181/266140909376*c_0101_8^9 + 15154188471/266140909376*c_0101_8^8 - 14750203997/133070454688*c_0101_8^7 + 1826184485/33267613672*c_0101_8^6 + 2563338641/133070454688*c_0101_8^5 - 5631463319/133070454688*c_0101_8^4 - 9352335763/33267613672*c_0101_8^3 - 124517231177/133070454688*c_0101_8^2 + 320612044743/266140909376*c_0101_8 - 279466508007/266140909376, c_0101_7 + 420599803/16633806836*c_0101_8^12 + 6722302055/66535227344*c_0101_8^11 + 8597857999/33267613672*c_0101_8^10 + 25325188053/66535227344*c_0101_8^9 + 82374094851/133070454688*c_0101_8^8 + 56378733693/66535227344*c_0101_8^7 + 29932470917/33267613672*c_0101_8^6 + 4187420662/4158451709*c_0101_8^5 + 81489033121/66535227344*c_0101_8^4 + 30438267161/16633806836*c_0101_8^3 + 13672059269/33267613672*c_0101_8^2 - 91301563869/66535227344*c_0101_8 - 181482215073/133070454688, c_0101_8^13 + 4*c_0101_8^12 + 10*c_0101_8^11 + 29/2*c_0101_8^10 + 23*c_0101_8^9 + 65/2*c_0101_8^8 + 31*c_0101_8^7 + 37*c_0101_8^6 + 42*c_0101_8^5 + 69*c_0101_8^4 - 5*c_0101_8^3 - 151/2*c_0101_8^2 - 38*c_0101_8 - 163/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB