Magma V2.19-8 Wed Aug 21 2013 01:07:16 on localhost [Seed = 3263486916] Type ? for help. Type -D to quit. Loading file "L14n33056__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33056 geometric_solution 11.47739028 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 0 0 1 1 1302 2031 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393242810355 0.114134024887 2 0 3 0 0132 2310 0132 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 1 0 0 -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 -0.346685993704 1.831665380080 1 3 4 5 0132 3201 0132 0132 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 2 -2 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 0.270295951576 0.793527660420 6 7 2 1 0132 0132 2310 0132 0 0 0 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 0 0 0 0 0 0 0 -3 2 0 1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.270295951576 0.793527660420 7 8 7 2 2031 0132 3201 0132 0 0 0 1 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 -2 2 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 0.581355794900 0.508861015673 6 9 2 10 2103 0132 0132 0132 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 -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 1.026064552344 0.852486180480 3 10 5 11 0132 2310 2103 0132 1 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 0 0 0 0 0 0 0 -2 -1 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.026064552344 0.852486180480 4 3 4 12 2310 0132 1302 0132 0 1 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 0 0 -1 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.581355794900 0.508861015673 12 4 11 9 3120 0132 3201 2310 0 1 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 0 0 0 0 0 0 0 0 0 0 0 5 0 -6 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 0.387544175270 0.548969023947 8 5 10 12 3201 0132 1302 3201 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 0 0 0 0 0 0 0 1 0 -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 0.486727231288 1.320382195934 9 11 5 6 2031 3120 0132 3201 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 -3 0 3 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 0.753224325898 1.107806684021 8 10 6 12 2310 3120 0132 2310 1 0 1 0 0 0 0 0 0 0 0 0 -1 0 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 6 0 0 -6 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486727231288 1.320382195934 11 9 7 8 3201 2310 0132 3120 0 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 6 0 -1 -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 0.387544175270 0.548969023947 ==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' : d['c_0110_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_12']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0110_0']), 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), 's_3_11' : 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_11'], 'c_0101_10' : negation(d['c_0011_12']), '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' : negation(d['1']), 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_12']), 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : negation(d['c_0110_10']), 'c_1010_5' : d['c_0110_10'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : negation(d['c_1001_12']), 'c_1010_1' : negation(d['c_0110_0']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_12']), 'c_1010_8' : d['c_0011_4'], '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' : negation(d['c_0101_12']), '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' : negation(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_4']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_1'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : negation(d['c_0101_12']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_12'], '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' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0110_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0101_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_1, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_1, c_0101_11, c_0101_12, c_0110_0, c_0110_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1766405377729/21653931600*c_1001_12^7 - 318039537551/5413482900*c_1001_12^6 + 145767646169/902247150*c_1001_12^5 - 408128384351/721797720*c_1001_12^4 + 571190251411/721797720*c_1001_12^3 - 316313822927/601498100*c_1001_12^2 + 3682187861977/21653931600*c_1001_12 - 200662182439/10826965800, c_0011_0 - 1, c_0011_1 + 29418251/2422140*c_1001_12^7 + 3374989/605535*c_1001_12^6 + 30536743/1211070*c_1001_12^5 - 6987919/121107*c_1001_12^4 + 4597766/121107*c_1001_12^3 - 11161139/1211070*c_1001_12^2 + 1997257/2422140*c_1001_12 + 19598/605535, c_0011_10 - 6236953319/1804494300*c_1001_12^7 + 14137985481/1202996200*c_1001_12^6 + 2378055301/1202996200*c_1001_12^5 + 1326822586/30074905*c_1001_12^4 - 16834589783/240599240*c_1001_12^3 + 31614098303/1202996200*c_1001_12^2 + 3130569689/902247150*c_1001_12 + 57451649/150374525, c_0011_11 - 17268179773/1804494300*c_1001_12^7 + 558205541/601498100*c_1001_12^6 - 10330123219/601498100*c_1001_12^5 + 1713264443/30074905*c_1001_12^4 - 6576154191/120299620*c_1001_12^3 + 14319021043/601498100*c_1001_12^2 - 11327823889/1804494300*c_1001_12 + 198977118/150374525, c_0011_12 - 19086494897/1804494300*c_1001_12^7 + 3199608037/1804494300*c_1001_12^6 - 2602489019/150374525*c_1001_12^5 + 7746371727/120299620*c_1001_12^4 - 7511990767/120299620*c_1001_12^3 + 5944958541/300749050*c_1001_12^2 - 891727423/902247150*c_1001_12 + 736781431/451123575, c_0011_3 - 504431437/180449430*c_1001_12^7 - 161948571/60149810*c_1001_12^6 - 209227031/30074905*c_1001_12^5 + 58018501/6014981*c_1001_12^4 - 44904103/12029962*c_1001_12^3 - 46483399/30074905*c_1001_12^2 + 101145539/180449430*c_1001_12 - 21504297/30074905, c_0011_4 - 1, c_0101_1 + 1, c_0101_11 + 803003707/120299620*c_1001_12^7 + 84903229/180449430*c_1001_12^6 + 64658862/6014981*c_1001_12^5 - 234443679/6014981*c_1001_12^4 + 339336735/12029962*c_1001_12^3 - 212325174/30074905*c_1001_12^2 - 127560423/120299620*c_1001_12 - 1128320/18044943, c_0101_12 - 799104907/60149810*c_1001_12^7 - 598426147/360898860*c_1001_12^6 - 2914599011/120299620*c_1001_12^5 + 440053270/6014981*c_1001_12^4 - 1456652541/24059924*c_1001_12^3 + 2127429907/120299620*c_1001_12^2 - 102552367/30074905*c_1001_12 + 68706926/90224715, c_0110_0 - 29418251/2422140*c_1001_12^7 - 3374989/605535*c_1001_12^6 - 30536743/1211070*c_1001_12^5 + 6987919/121107*c_1001_12^4 - 4597766/121107*c_1001_12^3 + 11161139/1211070*c_1001_12^2 - 1997257/2422140*c_1001_12 - 19598/605535, c_0110_10 + 206358791/30074905*c_1001_12^7 - 524423693/120299620*c_1001_12^6 + 308354212/30074905*c_1001_12^5 - 5798364099/120299620*c_1001_12^4 + 6804882253/120299620*c_1001_12^3 - 1557178859/60149810*c_1001_12^2 + 463875781/120299620*c_1001_12 - 35936972/30074905, c_1001_12^8 - 6/19*c_1001_12^7 + 652/361*c_1001_12^6 - 2262/361*c_1001_12^5 + 2550/361*c_1001_12^4 - 1248/361*c_1001_12^3 + 277/361*c_1001_12^2 - 36/361*c_1001_12 + 16/361 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0101_1, c_0101_11, c_0101_12, c_0110_0, c_0110_10, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1204235/59600096*c_1001_12^8 - 18373169/59600096*c_1001_12^7 - 42698853/59600096*c_1001_12^6 + 15450419/59600096*c_1001_12^5 - 92880287/59600096*c_1001_12^4 - 665021/1862503*c_1001_12^3 - 113995709/59600096*c_1001_12^2 - 19486693/59600096*c_1001_12 - 36830923/59600096, c_0011_0 - 1, c_0011_1 + 23/68*c_1001_12^8 + 93/68*c_1001_12^7 + 45/68*c_1001_12^6 + 133/68*c_1001_12^5 + 151/68*c_1001_12^4 + 87/17*c_1001_12^3 + 241/68*c_1001_12^2 + 101/68*c_1001_12 + 71/68, c_0011_10 + 31/34*c_1001_12^8 + 117/34*c_1001_12^7 + 21/34*c_1001_12^6 + 129/34*c_1001_12^5 + 5/2*c_1001_12^4 + 144/17*c_1001_12^3 + 129/34*c_1001_12^2 - 1/34*c_1001_12 - 53/34, c_0011_11 + 7/34*c_1001_12^8 + 41/34*c_1001_12^7 + 57/34*c_1001_12^6 + 39/34*c_1001_12^5 + 115/34*c_1001_12^4 + 44/17*c_1001_12^3 + 11/2*c_1001_12^2 + 53/34*c_1001_12 + 65/34, c_0011_12 + 7/34*c_1001_12^8 + 41/34*c_1001_12^7 + 57/34*c_1001_12^6 + 39/34*c_1001_12^5 + 115/34*c_1001_12^4 + 44/17*c_1001_12^3 + 11/2*c_1001_12^2 + 53/34*c_1001_12 + 65/34, c_0011_3 - c_1001_12 - 1, c_0011_4 - 1, c_0101_1 - 12/17*c_1001_12^8 - 42/17*c_1001_12^7 - 1/17*c_1001_12^6 - 62/17*c_1001_12^5 - 106/17*c_1001_12^3 + 23/17*c_1001_12^2 - 21/17*c_1001_12 + 26/17, c_0101_11 + c_1001_12, c_0101_12 + 1, c_0110_0 + 23/68*c_1001_12^8 + 81/68*c_1001_12^7 + 5/68*c_1001_12^6 + 133/68*c_1001_12^5 + 55/68*c_1001_12^4 + 74/17*c_1001_12^3 + 53/68*c_1001_12^2 + 93/68*c_1001_12 - 45/68, c_0110_10 + 3/34*c_1001_12^8 + 1/34*c_1001_12^7 - 47/34*c_1001_12^6 - 27/34*c_1001_12^5 - 25/34*c_1001_12^4 - 30/17*c_1001_12^3 - 105/34*c_1001_12^2 - 113/34*c_1001_12 - 19/34, c_1001_12^9 + 4*c_1001_12^8 + 2*c_1001_12^7 + 6*c_1001_12^6 + 4*c_1001_12^5 + 13*c_1001_12^4 + 7*c_1001_12^3 + 6*c_1001_12^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.260 Total time: 0.480 seconds, Total memory usage: 32.09MB