Magma V2.19-8 Tue Aug 20 2013 23:42:04 on localhost [Seed = 2260788172] Type ? for help. Type -D to quit. Loading file "L12n762__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n762 geometric_solution 10.02142007 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 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 0 0 0 0 -1 0 1 -3 0 4 -1 -11 10 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.813207924616 0.434509184537 0 2 6 5 0132 0213 0132 0132 1 0 0 1 0 0 0 0 -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 0 0 0 3 0 0 -3 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488937314597 0.664954329744 7 0 1 8 0132 0132 0213 0132 1 0 0 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 -1 1 0 0 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.654538844353 0.553105580172 9 10 6 0 0132 0132 0321 0132 1 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 0 0 1 0 3 -4 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897262521062 0.731582139919 8 6 0 9 3120 0132 0132 0321 1 0 0 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 -1 1 0 0 1 -1 3 -3 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342792401128 0.460578108369 7 6 1 10 2310 2031 0132 0213 1 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 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 0 0 0 0 0 0.038090875858 1.492530593366 5 4 3 1 1302 0132 0321 0132 1 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 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.588480414764 1.642946898345 2 9 5 9 0132 3201 3201 2103 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 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 0.333100052593 1.009866280277 10 10 2 4 0321 0213 0132 3120 1 0 0 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 1 -1 0 0 0 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665938329199 0.486156918093 3 4 7 7 0132 0321 2310 2103 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 1 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 0.455350659252 0.689523635844 8 3 8 5 0321 0132 0213 0213 1 0 0 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 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104765049815 1.040076921790 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_1']), 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_1001_3'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_8'], '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_10' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_0'], 'c_1100_8' : negation(d['c_0101_1']), 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1100_10' : negation(d['c_0011_4']), 'c_1010_7' : negation(d['c_1001_6']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(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'], '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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_10' : negation(d['c_0011_8']), 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], '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_8']), 'c_0110_5' : d['c_0011_8'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_4, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_1001_0, c_1001_1, c_1001_3, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 5713995/1802096*c_1001_6^9 + 787131/274232*c_1001_6^8 - 60646079/12614672*c_1001_6^7 + 175573/39176*c_1001_6^6 - 53095913/12614672*c_1001_6^5 - 106348111/6307336*c_1001_6^4 + 48184263/6307336*c_1001_6^3 - 103335535/12614672*c_1001_6^2 - 7887163/1802096*c_1001_6 + 75734907/6307336, c_0011_0 - 1, c_0011_10 - 12/11*c_1001_6^9 - 26/11*c_1001_6^8 - 9/11*c_1001_6^7 + 2/11*c_1001_6^6 + 27/11*c_1001_6^5 + 60/11*c_1001_6^4 + 71/11*c_1001_6^3 + 87/11*c_1001_6^2 + 40/11*c_1001_6 + 20/11, c_0011_4 - 1/2*c_1001_6^9 - 1/2*c_1001_6^7 - 2*c_1001_6^6 + 5/2*c_1001_6^5 + 3*c_1001_6^3 + 9/2*c_1001_6^2 + 3/2*c_1001_6 + 3, c_0011_5 - 5/11*c_1001_6^9 + 2/11*c_1001_6^8 + 21/11*c_1001_6^7 - 1/11*c_1001_6^6 + 3/11*c_1001_6^5 + 3/11*c_1001_6^4 - 30/11*c_1001_6^3 - 16/11*c_1001_6^2 - 42/11*c_1001_6 - 21/11, c_0011_8 + 5/22*c_1001_6^9 + 10/11*c_1001_6^8 + 1/22*c_1001_6^7 - 16/11*c_1001_6^6 - 3/22*c_1001_6^5 - 18/11*c_1001_6^4 - 18/11*c_1001_6^3 + 5/22*c_1001_6^2 - 13/22*c_1001_6 + 27/11, c_0101_0 - 1, c_0101_1 - 1/2*c_1001_6^9 + 1/2*c_1001_6^7 - c_1001_6^6 + 3/2*c_1001_6^5 + c_1001_6^3 + 3/2*c_1001_6^2 + 1/2*c_1001_6 + 1, c_1001_0 + c_1001_6^9 + c_1001_6^8 + c_1001_6^6 - 3*c_1001_6^5 - 2*c_1001_6^4 - 4*c_1001_6^3 - 5*c_1001_6^2 - 2*c_1001_6 - 3, c_1001_1 + 13/2*c_1001_6^9 + 4*c_1001_6^8 + 1/2*c_1001_6^7 + 11*c_1001_6^6 - 45/2*c_1001_6^5 - 8*c_1001_6^4 - 27*c_1001_6^3 - 59/2*c_1001_6^2 - 27/2*c_1001_6 - 17, c_1001_3 + c_1001_6^9 + c_1001_6^8 + c_1001_6^6 - 3*c_1001_6^5 - 3*c_1001_6^4 - 4*c_1001_6^3 - 4*c_1001_6^2 - 2*c_1001_6 - 1, c_1001_6^10 + 2*c_1001_6^9 + c_1001_6^8 + 2*c_1001_6^7 - c_1001_6^6 - 6*c_1001_6^5 - 6*c_1001_6^4 - 11*c_1001_6^3 - 9*c_1001_6^2 - 6*c_1001_6 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB