Magma V2.19-8 Wed Aug 21 2013 01:02:34 on localhost [Seed = 981213635] Type ? for help. Type -D to quit. Loading file "L14n15080__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15080 geometric_solution 12.53400854 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 1 0 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 -3 0 3 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 0.801472974572 1.207024954822 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 0 -1 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 0 4 -4 3 0 -3 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 0.670721302201 0.742816742115 7 0 6 8 0132 0132 0132 0132 1 1 0 1 0 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 0 0 0 0 0 0 -1 4 -3 0 0 -4 4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393062051274 0.694314213508 7 9 8 0 2031 0132 2031 0132 1 1 0 1 0 0 0 0 0 0 -1 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 0 -1 1 0 0 3 -3 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584697543545 1.047232718543 10 11 0 5 0132 0132 0132 1023 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 0 0 0 -4 0 4 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.542720144523 0.482992865856 12 1 9 4 0132 0132 1023 1023 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 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551939749472 0.405029854524 10 11 1 2 3120 0321 0132 0132 1 1 1 0 0 0 -1 1 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 0 4 -4 -4 0 0 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.630332700438 0.798981940514 2 10 3 1 0132 1230 1302 0132 1 1 1 0 0 -1 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 4 0 -4 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584697543545 1.047232718543 11 12 2 3 0321 1302 0132 1302 1 1 1 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 0 3 -3 4 0 -4 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 0.382531301697 1.090711484964 11 3 5 12 2031 0132 1023 0132 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670721302201 0.742816742115 4 12 7 6 0132 2103 3012 3120 0 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 -4 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 1.033664826579 1.091788170734 8 4 9 6 0321 0132 1302 0321 1 0 1 1 0 0 0 0 0 0 1 -1 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 0 0 1 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391389493759 0.771447844854 5 10 9 8 0132 2103 0132 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 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.801472974572 1.207024954822 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0011_0']), 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0011_6']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_1010_8'], 'c_1100_4' : negation(d['c_1010_8']), 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_1010_8']), 'c_1100_3' : negation(d['c_1010_8']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_1010_8']), 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0101_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1010_8'], 'c_1100_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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1010_8']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : negation(d['c_0011_3']), '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' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0101_5, c_0101_9, c_1001_2, c_1010_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 90946/5481*c_1010_8^6 + 15011/783*c_1010_8^5 - 287465/5481*c_1010_8^4 + 200897/783*c_1010_8^3 - 191978/1827*c_1010_8^2 + 788531/5481*c_1010_8 + 443512/5481, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 - 279/203*c_1010_8^6 + 351/203*c_1010_8^5 - 907/203*c_1010_8^4 + 4391/203*c_1010_8^3 - 2208/203*c_1010_8^2 + 2451/203*c_1010_8 + 1063/203, c_0011_6 - 193/203*c_1010_8^6 + 240/203*c_1010_8^5 - 640/203*c_1010_8^4 + 3077/203*c_1010_8^3 - 1538/203*c_1010_8^2 + 1954/203*c_1010_8 + 331/203, c_0101_0 + 97/203*c_1010_8^6 - 108/203*c_1010_8^5 + 288/203*c_1010_8^4 - 1476/203*c_1010_8^3 + 550/203*c_1010_8^2 - 656/203*c_1010_8 - 423/203, c_0101_1 - 1, c_0101_10 + 36/203*c_1010_8^6 - 5/29*c_1010_8^5 + 103/203*c_1010_8^4 - 78/29*c_1010_8^3 + 211/203*c_1010_8^2 - 204/203*c_1010_8 - 38/203, c_0101_12 - 11/203*c_1010_8^6 - 3/203*c_1010_8^5 - 3/29*c_1010_8^4 + 162/203*c_1010_8^3 + 120/203*c_1010_8^2 + 159/203*c_1010_8 + 97/203, c_0101_3 - 72/203*c_1010_8^6 + 10/29*c_1010_8^5 - 206/203*c_1010_8^4 + 156/29*c_1010_8^3 - 219/203*c_1010_8^2 + 611/203*c_1010_8 + 279/203, c_0101_5 + 38/203*c_1010_8^6 - 74/203*c_1010_8^5 + 149/203*c_1010_8^4 - 673/203*c_1010_8^3 + 698/203*c_1010_8^2 - 515/203*c_1010_8 - 24/203, c_0101_9 + 72/203*c_1010_8^6 - 10/29*c_1010_8^5 + 206/203*c_1010_8^4 - 156/29*c_1010_8^3 + 219/203*c_1010_8^2 - 408/203*c_1010_8 - 279/203, c_1001_2 + 47/203*c_1010_8^6 - 61/203*c_1010_8^5 + 26/29*c_1010_8^4 - 766/203*c_1010_8^3 + 410/203*c_1010_8^2 - 827/203*c_1010_8 - 193/203, c_1010_8^7 - c_1010_8^6 + 3*c_1010_8^5 - 15*c_1010_8^4 + 4*c_1010_8^3 - 8*c_1010_8^2 - 6*c_1010_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB