Magma V2.19-8 Wed Aug 21 2013 00:52:33 on localhost [Seed = 4155630157] Type ? for help. Type -D to quit. Loading file "L12a446__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a446 geometric_solution 11.86770725 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1230 0132 0132 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 -1 1 0 -5 0 5 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 1.057434893071 0.901106522713 0 4 0 5 0132 0132 3012 0132 1 1 1 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 5 0 1 -6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452152121461 0.466855501025 6 7 8 0 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.026974099188 1.294557671227 4 4 0 7 0132 1302 0132 0132 1 1 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 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 0.554312480560 0.529931129619 3 1 5 3 0132 0132 0132 2031 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 0 -1 1 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 0.929552955340 1.105256544503 6 9 1 4 2103 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 -6 0 6 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 0.108624961121 1.059862259238 2 10 5 11 0132 0132 2103 0132 1 1 1 1 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.912095303498 1.126863290330 11 2 3 8 3120 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.427118098806 0.837114773854 12 12 7 2 0132 0321 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -1 -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 1 0 -1 5 0 0 -5 -6 6 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293603193417 0.713261897073 11 5 12 12 0132 0132 0213 0132 1 1 1 1 0 0 0 0 1 0 -1 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 1 -1 0 6 0 -6 0 0 0 0 0 -5 -1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293603193417 0.713261897073 11 6 10 10 1302 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470405266665 0.355431709095 9 10 6 7 0132 2031 0132 3120 1 1 1 1 0 0 0 0 -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 0 0 0 -6 0 6 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538950220048 0.932344729322 8 9 9 8 0132 0213 0132 0321 1 1 1 1 0 0 0 0 -1 0 0 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 1 0 -1 -5 0 0 5 0 6 0 -6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.700971996801 0.707784366483 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0110_10']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : d['c_1001_2'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_0_11' : 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_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_1100_11' : negation(d['c_0101_4']), 'c_1100_10' : negation(d['c_0011_11']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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_1001_2'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(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_0']), 'c_0011_2' : d['c_0011_10'], 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_12'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : d['c_0101_11']})} 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_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0110_10, c_1001_0, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 201811194988283955833/655901805312*c_1100_0^8 - 484391818699505603281/655901805312*c_1100_0^7 + 592564792322787934441/655901805312*c_1100_0^6 - 441458551911054843553/655901805312*c_1100_0^5 + 217066798558210113083/655901805312*c_1100_0^4 - 23133763763574171145/218633935104*c_1100_0^3 + 4499332044679534249/218633935104*c_1100_0^2 - 1165480044863463539/655901805312*c_1100_0 - 2477899936006579/81987725664, c_0011_0 - 1, c_0011_10 - 4999357/256*c_1100_0^8 + 5942585/128*c_1100_0^7 - 7337135/128*c_1100_0^6 + 5618705/128*c_1100_0^5 - 182683/8*c_1100_0^4 + 1037859/128*c_1100_0^3 - 246985/128*c_1100_0^2 + 35475/128*c_1100_0 - 4851/256, c_0011_11 + 5753/256*c_1100_0^8 - 5329/128*c_1100_0^7 + 6481/128*c_1100_0^6 - 4213/128*c_1100_0^5 + 1221/64*c_1100_0^4 - 483/128*c_1100_0^3 + 423/128*c_1100_0^2 - 23/128*c_1100_0 + 3/256, c_0011_12 + 2076833/256*c_1100_0^8 - 1390483/64*c_1100_0^7 + 925829/32*c_1100_0^6 - 1521161/64*c_1100_0^5 + 1670941/128*c_1100_0^4 - 311229/64*c_1100_0^3 + 19147/16*c_1100_0^2 - 11303/64*c_1100_0 + 3149/256, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + 1110329/256*c_1100_0^8 - 1304641/128*c_1100_0^7 + 1589827/128*c_1100_0^6 - 1207593/128*c_1100_0^5 + 77863/16*c_1100_0^4 - 218315/128*c_1100_0^3 + 50037/128*c_1100_0^2 - 6603/128*c_1100_0 + 743/256, c_0101_4 + 2*c_1100_0 - 1, c_0110_10 + 558041/256*c_1100_0^8 - 295851/64*c_1100_0^7 + 87991/16*c_1100_0^6 - 255853/64*c_1100_0^5 + 259481/128*c_1100_0^4 - 44237/64*c_1100_0^3 + 5249/32*c_1100_0^2 - 1435/64*c_1100_0 + 381/256, c_1001_0 - c_1100_0 + 1, c_1001_12 - c_1100_0, c_1001_2 + 1823701/256*c_1100_0^8 - 2310617/128*c_1100_0^7 + 2940903/128*c_1100_0^6 - 2314185/128*c_1100_0^5 + 153409/16*c_1100_0^4 - 446835/128*c_1100_0^3 + 109665/128*c_1100_0^2 - 16619/128*c_1100_0 + 2443/256, c_1100_0^9 - 16411/5753*c_1100_0^8 + 23620/5753*c_1100_0^7 - 21388/5753*c_1100_0^6 + 1210/523*c_1100_0^5 - 5850/5753*c_1100_0^4 + 1812/5753*c_1100_0^3 - 380/5753*c_1100_0^2 + 49/5753*c_1100_0 - 3/5753 ], 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_0101_0, c_0101_1, c_0101_11, c_0101_4, c_0110_10, c_1001_0, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1609237538919722491/41141632*c_1100_0^9 - 10491519775495923081/82283264*c_1100_0^8 - 17117124209205080811/82283264*c_1100_0^7 - 17517356652040057367/82283264*c_1100_0^6 - 167845695132720375/1127168*c_1100_0^5 - 6006600418617174353/82283264*c_1100_0^4 - 2052737142455045497/82283264*c_1100_0^3 - 66856044748263091/11754752*c_1100_0^2 - 9158077881812689/11754752*c_1100_0 - 1974973029635925/41141632, c_0011_0 - 1, c_0011_10 - 5529615/128*c_1100_0^9 - 31382231/256*c_1100_0^8 - 22736619/128*c_1100_0^7 - 20530397/128*c_1100_0^6 - 12574369/128*c_1100_0^5 - 661907/16*c_1100_0^4 - 1516177/128*c_1100_0^3 - 276699/128*c_1100_0^2 - 7125/32*c_1100_0 - 2441/256, c_0011_11 + 4051/128*c_1100_0^9 + 18907/256*c_1100_0^8 + 13091/128*c_1100_0^7 + 10623/128*c_1100_0^6 + 6541/128*c_1100_0^5 + 1133/64*c_1100_0^4 + 945/128*c_1100_0^3 - 135/128*c_1100_0^2 + 3/32*c_1100_0 + 1/256, c_0011_12 - 2021449/128*c_1100_0^9 - 13469389/256*c_1100_0^8 - 5397321/64*c_1100_0^7 - 2656593/32*c_1100_0^6 - 873741/16*c_1100_0^5 - 3148937/128*c_1100_0^4 - 480307/64*c_1100_0^3 - 23531/16*c_1100_0^2 - 20951/128*c_1100_0 - 2025/256, c_0101_0 - 1, c_0101_1 + 1, c_0101_11 - 1227453/128*c_1100_0^9 - 6830693/256*c_1100_0^8 - 4879557/128*c_1100_0^7 - 4356279/128*c_1100_0^6 - 2638247/128*c_1100_0^5 - 68729/8*c_1100_0^4 - 312911/128*c_1100_0^3 - 58129/128*c_1100_0^2 - 817/16*c_1100_0 - 747/256, c_0101_4 - 2*c_1100_0 - 1, c_0110_10 + 506375/128*c_1100_0^9 + 2606435/256*c_1100_0^8 + 907327/64*c_1100_0^7 + 48873/4*c_1100_0^6 + 14547/2*c_1100_0^5 + 377835/128*c_1100_0^4 + 52973/64*c_1100_0^3 + 4573/32*c_1100_0^2 + 1889/128*c_1100_0 + 159/256, c_1001_0 + c_1100_0 + 1, c_1001_12 - c_1100_0, c_1001_2 - 2191591/128*c_1100_0^9 - 13145407/256*c_1100_0^8 - 9788719/128*c_1100_0^7 - 9060657/128*c_1100_0^6 - 5656909/128*c_1100_0^5 - 606799/32*c_1100_0^4 - 703341/128*c_1100_0^3 - 128679/128*c_1100_0^2 - 795/8*c_1100_0 - 921/256, c_1100_0^10 + 27009/8102*c_1100_0^9 + 45089/8102*c_1100_0^8 + 23714/4051*c_1100_0^7 + 17164/4051*c_1100_0^6 + 8807/4051*c_1100_0^5 + 3211/4051*c_1100_0^4 + 810/4051*c_1100_0^3 + 133/4051*c_1100_0^2 + 25/8102*c_1100_0 + 1/8102 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.700 Total time: 0.920 seconds, Total memory usage: 32.09MB