Magma V2.19-8 Tue Aug 20 2013 23:52:50 on localhost [Seed = 1309156736] Type ? for help. Type -D to quit. Loading file "L13n413__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n413 geometric_solution 11.23977460 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 1 1 0 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 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 0.382785735530 1.074143736100 0 4 0 5 0132 0132 3012 0132 1 1 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 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 0.705619561318 0.826067627108 4 6 7 0 2103 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 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 1 0 -1 4 0 -4 0 0 -1 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.125524290119 0.732668744689 4 4 0 5 0132 1302 0132 1230 1 1 1 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 -1 1 0 -3 0 0 3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382785735530 1.074143736100 3 1 2 3 0132 0132 2103 2031 1 1 0 1 0 0 0 0 -1 0 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 3 0 -4 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 0.402162570015 0.699887268235 3 6 1 7 3012 3012 0132 3012 1 1 1 1 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 0 0 0 0 -3 3 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671892544483 0.562936925028 5 2 8 9 1230 0132 0132 0132 1 1 1 1 0 0 0 0 1 0 0 -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 -1 0 1 -3 0 0 3 -1 4 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723642174436 1.188874669050 10 8 5 2 0132 0132 1230 0132 1 1 1 1 0 0 0 0 1 0 0 -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 0 0 0 -4 0 0 4 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723642174436 1.188874669050 10 7 9 6 3120 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 0 0 0 4 0 -4 0 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.027551205463 0.696914795170 11 8 6 10 0132 0213 0132 2031 1 1 1 1 0 0 0 0 0 0 1 -1 0 -1 0 1 0 1 -1 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 4 0 -4 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261057364976 0.415286274295 7 9 11 8 0132 1302 0132 3120 1 1 1 1 0 1 0 -1 -1 0 0 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 -3 0 3 4 0 0 -4 0 -1 0 1 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261057364976 0.415286274295 9 11 11 10 0132 3201 2310 0132 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 0.411239122637 1.652135254216 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_11']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0011_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], '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_2'], 'c_1001_8' : d['c_1001_2'], 'c_1010_11' : d['c_0101_11'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_5'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : 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_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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0110_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_2'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_2']), '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_2'], 'c_0110_11' : d['c_0011_5'], 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 385024/675*c_1001_2^3 - 198656/675*c_1001_2^2 + 139264/675*c_1001_2 - 31744/675, c_0011_0 - 1, c_0011_10 - 4*c_1001_2^3 - 2*c_1001_2^2 - c_1001_2 + 1/2, c_0011_11 - 4*c_1001_2^3 + 1, c_0011_2 - 2*c_1001_2^2 + 1/2, c_0011_5 - 2*c_1001_2^2 - 1/2, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 4*c_1001_2^3 + c_1001_2 + 1, c_0101_6 + c_1001_2, c_0110_5 - 2*c_1001_2^2 + 1/2, c_1001_0 + 2*c_1001_2^2 + 1/2, c_1001_2^4 - 1/8*c_1001_2 + 1/16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 530412297/129850*c_1001_2^4 + 1091009107/259700*c_1001_2^3 + 241916401/74200*c_1001_2^2 + 1278034413/1038800*c_1001_2 + 5066840369/2077600, c_0011_0 - 1, c_0011_10 - 40/53*c_1001_2^4 - 52/53*c_1001_2^3 + 12/53*c_1001_2^2 + 4/53*c_1001_2 - 9/53, c_0011_11 - 16/53*c_1001_2^4 + 64/53*c_1001_2^3 + 26/53*c_1001_2^2 - 9/53*c_1001_2 + 7/53, c_0011_2 - 48/53*c_1001_2^4 - 20/53*c_1001_2^3 - 28/53*c_1001_2^2 + 26/53*c_1001_2 + 21/53, c_0011_5 - 48/53*c_1001_2^4 - 20/53*c_1001_2^3 - 28/53*c_1001_2^2 + 26/53*c_1001_2 - 32/53, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 48/53*c_1001_2^4 - 20/53*c_1001_2^3 - 28/53*c_1001_2^2 - 27/53*c_1001_2 + 21/53, c_0101_6 + c_1001_2, c_0110_5 - 48/53*c_1001_2^4 - 20/53*c_1001_2^3 - 28/53*c_1001_2^2 + 26/53*c_1001_2 + 21/53, c_1001_0 + 48/53*c_1001_2^4 + 20/53*c_1001_2^3 + 28/53*c_1001_2^2 - 26/53*c_1001_2 + 32/53, c_1001_2^5 + 1/2*c_1001_2^4 + 1/4*c_1001_2^3 - 1/8*c_1001_2^2 + 7/16*c_1001_2 - 5/16 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1029094869106688/148600713429*c_1001_2^7 + 142851216867328/148600713429*c_1001_2^6 - 164588917129216/49533571143*c_1001_2^5 - 28788051189760/16511190381*c_1001_2^4 - 402505757597696/148600713429*c_1001_2^3 + 417830471041024/148600713429*c_1001_2^2 + 83173191221248/148600713429*c_1001_2 + 12199320000512/49533571143, c_0011_0 - 1, c_0011_10 + 43712/8973*c_1001_2^7 + 18560/8973*c_1001_2^6 + 12304/2991*c_1001_2^5 + 3360/997*c_1001_2^4 + 39464/8973*c_1001_2^3 - 1816/8973*c_1001_2^2 + 671/8973*c_1001_2 - 1538/2991, c_0011_11 - 79360/8973*c_1001_2^7 + 12128/8973*c_1001_2^6 - 20096/2991*c_1001_2^5 - 2480/997*c_1001_2^4 - 33496/8973*c_1001_2^3 + 28022/8973*c_1001_2^2 - 7498/8973*c_1001_2 + 2512/2991, c_0011_2 + 1472/8973*c_1001_2^7 + 20384/8973*c_1001_2^6 + 64/2991*c_1001_2^5 + 2040/997*c_1001_2^4 + 6584/8973*c_1001_2^3 + 15704/8973*c_1001_2^2 - 8530/8973*c_1001_2 - 3007/5982, c_0011_5 - 1472/8973*c_1001_2^7 - 20384/8973*c_1001_2^6 - 64/2991*c_1001_2^5 - 2040/997*c_1001_2^4 - 6584/8973*c_1001_2^3 - 15704/8973*c_1001_2^2 + 8530/8973*c_1001_2 - 2975/5982, c_0101_0 - 1, c_0101_1 + 1, c_0101_11 + 74240/8973*c_1001_2^7 - 20608/8973*c_1001_2^6 + 15712/2991*c_1001_2^5 + 2320/997*c_1001_2^4 + 37124/8973*c_1001_2^3 - 21004/8973*c_1001_2^2 + 5567/8973*c_1001_2 - 1964/2991, c_0101_6 + c_1001_2, c_0110_5 + 1472/8973*c_1001_2^7 + 20384/8973*c_1001_2^6 + 64/2991*c_1001_2^5 + 2040/997*c_1001_2^4 + 6584/8973*c_1001_2^3 + 15704/8973*c_1001_2^2 - 8530/8973*c_1001_2 - 3007/5982, c_1001_0 + 1472/8973*c_1001_2^7 + 20384/8973*c_1001_2^6 + 64/2991*c_1001_2^5 + 2040/997*c_1001_2^4 + 6584/8973*c_1001_2^3 + 15704/8973*c_1001_2^2 - 8530/8973*c_1001_2 + 2975/5982, c_1001_2^8 - 1/2*c_1001_2^7 + 3/4*c_1001_2^6 + 7/16*c_1001_2^4 - 1/2*c_1001_2^3 + 5/32*c_1001_2^2 - 3/32*c_1001_2 + 9/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB