Magma V2.19-8 Wed Aug 21 2013 00:57:43 on localhost [Seed = 3835887187] Type ? for help. Type -D to quit. Loading file "L13n4416__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4416 geometric_solution 11.77798382 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 1 -1 0 0 0 0 0 -1 1 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516581807358 0.929078789202 0 5 7 6 0132 0132 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 0.516581807358 0.929078789202 8 0 10 9 0132 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 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 -2 3 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.015918804284 2.129958483311 8 11 6 0 3012 0132 0132 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 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 3 0 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516581807358 0.929078789202 12 5 0 7 0132 1302 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.032840755371 1.024762104613 8 1 9 4 1023 0132 2031 2031 1 1 0 1 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 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.115729527626 0.973544082262 10 12 1 3 1023 3120 0132 0132 1 1 0 1 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 -1 0 1 -1 0 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 0.466977857743 0.751676231378 12 11 4 1 3120 0321 0132 0132 1 1 0 1 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 1 0 0 -1 0 -1 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.174960359096 0.622427745667 2 5 10 3 0132 1023 0321 1230 1 1 0 1 0 0 0 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 3 -3 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.182430006739 0.382479720648 12 11 2 5 2031 0213 0132 1302 1 1 1 1 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 0 0 0 0 0 0 0 -2 0 0 2 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460148952270 0.411719504456 11 6 8 2 0321 1023 0321 0132 1 1 0 1 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 1 0 -1 0 0 0 0 1 -1 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.003508681192 0.469466496096 10 3 9 7 0321 0132 0213 0321 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 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 0.085181675777 0.435943273667 4 6 9 7 0132 3120 1302 3120 1 1 0 1 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 0 2 -2 0 0 1 -1 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.716108343595 0.543091590411 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0101_0'], 'c_1001_12' : d['c_0110_9'], 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : negation(d['c_0011_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_12']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0101_3'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_9'], 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_8' : d['c_0101_0'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : negation(d['c_0011_12']), 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : d['c_0101_3'], '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_9'], '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0011_9'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_3']})} 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_12, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_9, c_1001_0, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 121/5*c_1100_0^3 + 12/5*c_1100_0^2 - 37/20*c_1100_0 - 159/10, c_0011_0 - 1, c_0011_10 - 2*c_1100_0^3 + 1/2*c_1100_0 - 3/2, c_0011_11 - 2*c_1100_0^3 - 3/2*c_1100_0 - 1/2, c_0011_12 - 2*c_1100_0^3 + 1/2*c_1100_0 - 1/2, c_0011_9 - 2*c_1100_0^3 - 1/2*c_1100_0 - 1/2, c_0101_0 - 1, c_0101_1 - 2*c_1100_0^3 + 2*c_1100_0^2 - 1/2*c_1100_0 - 1/2, c_0101_3 + 2*c_1100_0^2 - c_1100_0, c_0101_5 + 2*c_1100_0^3 + 1/2*c_1100_0 + 1/2, c_0110_9 + c_1100_0, c_1001_0 - c_1100_0 - 1, c_1001_7 + 2*c_1100_0^3 - 2*c_1100_0^2 + 1/2*c_1100_0 + 1/2, c_1100_0^4 + 1/4*c_1100_0^2 + 1/2*c_1100_0 + 1/4 ], 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_12, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_5, c_0110_9, c_1001_0, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 35387097/25936144*c_1100_0^9 - 163442429/25936144*c_1100_0^8 - 399743207/25936144*c_1100_0^7 - 47677909/25936144*c_1100_0^6 - 27340809/25936144*c_1100_0^5 - 27802015/12968072*c_1100_0^4 - 766202473/25936144*c_1100_0^3 + 8825019/6484036*c_1100_0^2 + 14556926/1621009*c_1100_0 - 32347749/3242018, c_0011_0 - 1, c_0011_10 + 29455/498772*c_1100_0^9 + 153539/498772*c_1100_0^8 + 422967/498772*c_1100_0^7 + 341551/498772*c_1100_0^6 + 398493/498772*c_1100_0^5 + 285917/249386*c_1100_0^4 + 284841/498772*c_1100_0^3 + 99501/249386*c_1100_0^2 + 69086/124693*c_1100_0 + 88031/124693, c_0011_11 - 1, c_0011_12 - 9411/249386*c_1100_0^9 - 21368/124693*c_1100_0^8 - 59825/124693*c_1100_0^7 - 33509/124693*c_1100_0^6 - 61753/124693*c_1100_0^5 + 120247/249386*c_1100_0^4 - 241283/249386*c_1100_0^3 - 138093/249386*c_1100_0^2 + 44707/124693*c_1100_0 + 46825/124693, c_0011_9 - 30531/997544*c_1100_0^9 - 189721/997544*c_1100_0^8 - 554437/997544*c_1100_0^7 - 483221/997544*c_1100_0^6 + 336869/997544*c_1100_0^5 + 176239/249386*c_1100_0^4 + 99267/997544*c_1100_0^3 - 119037/124693*c_1100_0^2 + 63577/124693*c_1100_0 + 157301/249386, c_0101_0 - 1, c_0101_1 + 9411/249386*c_1100_0^9 + 21368/124693*c_1100_0^8 + 59825/124693*c_1100_0^7 + 33509/124693*c_1100_0^6 + 61753/124693*c_1100_0^5 - 120247/249386*c_1100_0^4 + 241283/249386*c_1100_0^3 + 138093/249386*c_1100_0^2 - 44707/124693*c_1100_0 - 46825/124693, c_0101_3 - 9411/249386*c_1100_0^9 - 21368/124693*c_1100_0^8 - 59825/124693*c_1100_0^7 - 33509/124693*c_1100_0^6 - 61753/124693*c_1100_0^5 + 120247/249386*c_1100_0^4 - 241283/249386*c_1100_0^3 - 138093/249386*c_1100_0^2 - 79986/124693*c_1100_0 + 46825/124693, c_0101_5 - 20907/997544*c_1100_0^9 - 44101/997544*c_1100_0^8 + 68919/997544*c_1100_0^7 + 846951/997544*c_1100_0^6 + 749841/997544*c_1100_0^5 + 7222/124693*c_1100_0^4 - 199029/997544*c_1100_0^3 + 153979/249386*c_1100_0^2 + 76434/124693*c_1100_0 - 315409/249386, c_0110_9 - 8685/249386*c_1100_0^9 - 59115/249386*c_1100_0^8 - 178351/249386*c_1100_0^7 - 185587/249386*c_1100_0^6 + 88623/249386*c_1100_0^5 + 42865/124693*c_1100_0^4 - 155573/249386*c_1100_0^3 - 261770/124693*c_1100_0^2 + 24643/124693*c_1100_0 + 99577/124693, c_1001_0 + 1, c_1001_7 - 75069/997544*c_1100_0^9 - 420511/997544*c_1100_0^8 - 1245419/997544*c_1100_0^7 - 1223715/997544*c_1100_0^6 - 902933/997544*c_1100_0^5 - 99991/249386*c_1100_0^4 - 1139763/997544*c_1100_0^3 - 93694/124693*c_1100_0^2 - 82135/124693*c_1100_0 - 48977/249386, c_1100_0^10 + 5*c_1100_0^9 + 13*c_1100_0^8 + 5*c_1100_0^7 - c_1100_0^6 - 2*c_1100_0^5 + 23*c_1100_0^4 + 6*c_1100_0^3 - 8*c_1100_0^2 - 4*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.440 seconds, Total memory usage: 32.09MB