Magma V2.19-8 Wed Aug 21 2013 01:01:36 on localhost [Seed = 998056164] Type ? for help. Type -D to quit. Loading file "L14n12462__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n12462 geometric_solution 12.13375393 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 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 0 0 1 0 0 -1 18 -1 0 -17 17 1 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890273823256 0.988628152579 0 5 6 6 0132 0132 0213 0132 1 1 1 1 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 -1 0 1 0 -17 17 0 0 -18 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.390249802399 0.743635883554 7 0 9 8 0132 0132 0132 0132 0 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 0 1 -1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233910034117 0.766914232683 10 9 8 0 0132 0132 0132 0132 0 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 -18 0 0 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421956491782 0.818524736928 5 8 0 9 2103 0132 0132 0132 0 1 1 1 0 -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 1 0 -1 0 0 1 -1 0 0 0 0 -17 0 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851254753239 0.680422699494 11 1 4 8 0132 0132 2103 3120 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288849147427 0.763408787637 10 1 1 7 2103 0213 0132 1023 1 1 1 1 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 -1 0 1 0 0 0 0 0 -1 0 1 18 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659339353842 0.804113561399 2 11 9 6 0132 0132 2103 1023 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 1 -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 0.830800156993 0.726694795942 5 4 2 3 3120 0132 0132 0132 0 1 1 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 0 0 0 0 0 -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 0.644424573713 0.381704393818 7 3 4 2 2103 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 -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 -0.363852015138 1.192951341539 3 11 6 12 0132 1302 2103 0132 1 1 1 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 18 0 -18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.744796669840 1.411516464161 5 7 12 10 0132 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.499919639898 1.133695241724 11 12 10 12 2103 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471717090241 0.369065891876 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_0110_12'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_0110_12'], 's_0_10' : negation(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' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], '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_1100_0'], 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_1100_0'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_12']), 's_1_7' : 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' : negation(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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_6'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_12']})} 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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_0110_12, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 3946824782620/39910563*c_1001_2^7 + 2238497094668/39910563*c_1001_2^6 + 7881061231859/39910563*c_1001_2^5 + 11864295437261/79821126*c_1001_2^4 + 6265625354350/39910563*c_1001_2^3 + 4638126425203/39910563*c_1001_2^2 + 3808728379249/79821126*c_1001_2 + 1128326578927/39910563, c_0011_0 - 1, c_0011_10 + 1248/49*c_1001_2^7 + 32/7*c_1001_2^6 + 2584/49*c_1001_2^5 + 884/49*c_1001_2^4 + 1952/49*c_1001_2^3 + 864/49*c_1001_2^2 + 524/49*c_1001_2 + 233/49, c_0011_12 + 240/49*c_1001_2^7 - 24/7*c_1001_2^6 + 708/49*c_1001_2^5 - 124/49*c_1001_2^4 + 643/49*c_1001_2^3 + 136/49*c_1001_2^2 + 195/49*c_1001_2 + 107/49, c_0011_4 + 8/7*c_1001_2^7 + 18/7*c_1001_2^5 + 1/7*c_1001_2^4 + 17/7*c_1001_2^3 - 2/7*c_1001_2^2 + 10/7*c_1001_2 + 1/7, c_0011_6 - 680/49*c_1001_2^7 - 16/7*c_1001_2^6 - 1418/49*c_1001_2^5 - 449/49*c_1001_2^4 - 1095/49*c_1001_2^3 - 418/49*c_1001_2^2 - 332/49*c_1001_2 - 99/49, c_0101_0 + 1184/49*c_1001_2^7 + 72/7*c_1001_2^6 + 2552/49*c_1001_2^5 + 1394/49*c_1001_2^4 + 2215/49*c_1001_2^3 + 1125/49*c_1001_2^2 + 766/49*c_1001_2 + 260/49, c_0101_11 - 568/49*c_1001_2^7 - 16/7*c_1001_2^6 - 1166/49*c_1001_2^5 - 435/49*c_1001_2^4 - 857/49*c_1001_2^3 - 446/49*c_1001_2^2 - 192/49*c_1001_2 - 85/49, c_0101_2 + 624/49*c_1001_2^7 + 16/7*c_1001_2^6 + 1292/49*c_1001_2^5 + 442/49*c_1001_2^4 + 976/49*c_1001_2^3 + 432/49*c_1001_2^2 + 262/49*c_1001_2 + 141/49, c_0101_7 + 736/49*c_1001_2^7 + 16/7*c_1001_2^6 + 1544/49*c_1001_2^5 + 456/49*c_1001_2^4 + 1214/49*c_1001_2^3 + 404/49*c_1001_2^2 + 304/49*c_1001_2 + 106/49, c_0110_12 + 528/49*c_1001_2^7 - 8/7*c_1001_2^6 + 852/49*c_1001_2^5 + 276/49*c_1001_2^4 + 415/49*c_1001_2^3 + 211/49*c_1001_2^2 + 86/49*c_1001_2 + 10/49, c_1001_0 - 1, c_1001_2^8 + c_1001_2^7 + 9/4*c_1001_2^6 + 19/8*c_1001_2^5 + 9/4*c_1001_2^4 + 15/8*c_1001_2^3 + c_1001_2^2 + 1/2*c_1001_2 + 1/8, c_1100_0 - 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_0110_12, c_1001_0, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1530211013/202895*c_1001_2^8 - 895606226/202895*c_1001_2^7 - 1110363791/73780*c_1001_2^6 - 27671828407/1623160*c_1001_2^5 - 11633474893/811580*c_1001_2^4 - 27851356131/1623160*c_1001_2^3 - 110362513/13090*c_1001_2^2 - 4544265321/811580*c_1001_2 - 3488004007/1623160, c_0011_0 - 1, c_0011_10 - 232*c_1001_2^8 - 16*c_1001_2^7 - 506*c_1001_2^6 - 255*c_1001_2^5 - 426*c_1001_2^4 - 331*c_1001_2^3 - 180*c_1001_2^2 - 122*c_1001_2 - 30, c_0011_12 - 240*c_1001_2^8 - 32*c_1001_2^7 - 516*c_1001_2^6 - 298*c_1001_2^5 - 438*c_1001_2^4 - 365*c_1001_2^3 - 194*c_1001_2^2 - 131*c_1001_2 - 35, c_0011_4 - 4*c_1001_2^8 - 9*c_1001_2^6 - 7/2*c_1001_2^5 - 8*c_1001_2^4 - 9/2*c_1001_2^3 - 4*c_1001_2^2 - c_1001_2 - 1/2, c_0011_6 - 120*c_1001_2^8 - 8*c_1001_2^7 - 262*c_1001_2^6 - 131*c_1001_2^5 - 221*c_1001_2^4 - 170*c_1001_2^3 - 94*c_1001_2^2 - 62*c_1001_2 - 16, c_0101_0 + 120*c_1001_2^8 + 262*c_1001_2^6 + 113*c_1001_2^5 + 214*c_1001_2^4 + 154*c_1001_2^3 + 85*c_1001_2^2 + 56*c_1001_2 + 13, c_0101_11 - 112*c_1001_2^8 - 8*c_1001_2^7 - 244*c_1001_2^6 - 124*c_1001_2^5 - 205*c_1001_2^4 - 161*c_1001_2^3 - 86*c_1001_2^2 - 60*c_1001_2 - 15, c_0101_2 + 116*c_1001_2^8 + 8*c_1001_2^7 + 253*c_1001_2^6 + 255/2*c_1001_2^5 + 213*c_1001_2^4 + 331/2*c_1001_2^3 + 90*c_1001_2^2 + 61*c_1001_2 + 29/2, c_0101_7 + 124*c_1001_2^8 + 8*c_1001_2^7 + 271*c_1001_2^6 + 269/2*c_1001_2^5 + 229*c_1001_2^4 + 349/2*c_1001_2^3 + 98*c_1001_2^2 + 65*c_1001_2 + 33/2, c_0110_12 + 288*c_1001_2^8 + 32*c_1001_2^7 + 624*c_1001_2^6 + 348*c_1001_2^5 + 526*c_1001_2^4 + 437*c_1001_2^3 + 231*c_1001_2^2 + 158*c_1001_2 + 42, c_1001_0 - 1, c_1001_2^9 + c_1001_2^8 + 9/4*c_1001_2^7 + 25/8*c_1001_2^6 + 23/8*c_1001_2^5 + 25/8*c_1001_2^4 + 17/8*c_1001_2^3 + 5/4*c_1001_2^2 + 5/8*c_1001_2 + 1/8, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.460 seconds, Total memory usage: 32.09MB