Magma V2.19-8 Tue Aug 20 2013 18:12:57 on localhost [Seed = 3347479679] Type ? for help. Type -D to quit. Loading file "10^2_86__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_86 geometric_solution 13.66015134 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 1 0132 0132 0132 2031 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 0 0 0 0 0 -1 0 1 -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 0.500087576468 1.059140575165 0 0 5 4 0132 1302 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 -1 0 1 1 0 -1 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 0.635469169903 0.772043560414 6 0 6 4 0132 0132 3012 2031 1 0 1 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 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575307853254 0.742689759806 7 8 6 0 0132 0132 3120 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842329459538 0.595416442475 7 2 1 9 2103 1302 0132 0132 0 0 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 -1 1 0 0 0 0 -3 1 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.655619140242 0.840332824146 10 11 12 1 0132 0132 0132 0132 0 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 -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 0.181744889471 0.598886873043 2 2 3 13 0132 1230 3120 0132 0 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 0 0 0 0 0 0 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580218972740 1.014670727493 3 8 4 12 0132 0213 2103 2031 1 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 3 -3 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 1.027111311094 0.478567809842 14 3 7 9 0132 0132 0213 3201 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 0 0 0 0 0 0 0 0 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 0.348142725251 0.841510714782 11 8 4 13 3012 2310 0132 1230 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.088343773584 0.583387907351 5 14 11 14 0132 3120 1023 1023 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 -1 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 0.220680405968 0.514509551575 12 5 10 9 0321 0132 1023 1230 0 0 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 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.244745341233 0.844297271082 11 7 13 5 0321 1302 1230 0132 0 0 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 -1 0 0 1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.313206240345 1.493830785466 9 14 6 12 3012 3201 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 -0.684411170526 0.932164498677 8 10 13 10 0132 3120 2310 1023 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220680405968 0.514509551575 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_11']), 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_11'], 'c_1001_13' : d['c_0101_13'], 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_3']), 'c_1001_8' : d['c_0011_4'], 'c_1010_13' : d['c_0101_11'], 'c_1010_12' : d['c_0101_9'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_14']), 'c_1010_14' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : d['c_0101_13'], 'c_0101_12' : negation(d['c_0101_11']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 'c_0101_14' : negation(d['c_0101_13']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_13' : 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' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_13'], 'c_1100_4' : d['c_0110_13'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : d['c_0110_13'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_1001_3'], 'c_1100_14' : d['c_0011_13'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0110_13'], 'c_1100_11' : d['c_0011_13'], 'c_1100_10' : negation(d['c_0011_13']), 'c_1100_13' : negation(d['c_0101_3']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_13'], 'c_1010_5' : d['c_0101_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_13'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0011_12'], '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' : d['c_0110_13'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_14']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_14'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_14' : negation(d['c_0011_14']), 'c_1010_4' : negation(d['c_1001_3']), 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_13'], '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_14']), 's_2_8' : negation(d['1']), 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_13'], 'c_0110_8' : negation(d['c_0101_13']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_13'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_3, c_0101_6, c_0101_9, c_0110_13, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 807/7072*c_1001_3^7 + 463/3536*c_1001_3^6 - 327/1768*c_1001_3^5 + 5717/7072*c_1001_3^4 - 8155/7072*c_1001_3^3 - 801/1768*c_1001_3^2 - 721/208*c_1001_3 - 1263/7072, c_0011_0 - 1, c_0011_10 + 3/32*c_1001_3^7 - 1/16*c_1001_3^6 - 13/32*c_1001_3^4 + 15/32*c_1001_3^3 + c_1001_3^2 + 31/16*c_1001_3 + 31/32, c_0011_12 + 1/32*c_1001_3^7 - 1/16*c_1001_3^6 + 1/8*c_1001_3^5 - 11/32*c_1001_3^4 + 21/32*c_1001_3^3 - 5/8*c_1001_3^2 + 11/16*c_1001_3 - 15/32, c_0011_13 + 1/16*c_1001_3^7 - 1/16*c_1001_3^6 + 1/16*c_1001_3^5 - 1/2*c_1001_3^4 + 15/16*c_1001_3^3 + 3/16*c_1001_3^2 + 31/16*c_1001_3 - 5/8, c_0011_14 + 1, c_0011_4 + 3/32*c_1001_3^7 - 1/8*c_1001_3^6 + 3/16*c_1001_3^5 - 19/32*c_1001_3^4 + 27/32*c_1001_3^3 + 9/16*c_1001_3^2 + 19/8*c_1001_3 + 21/32, c_0101_0 - 1/8*c_1001_3^7 + 3/16*c_1001_3^6 - 5/16*c_1001_3^5 + 15/16*c_1001_3^4 - 3/2*c_1001_3^3 + 1/16*c_1001_3^2 - 49/16*c_1001_3 - 3/16, c_0101_1 - 1, c_0101_11 - 1/32*c_1001_3^7 + 1/16*c_1001_3^6 + 3/32*c_1001_3^4 - 17/32*c_1001_3^3 - 7/16*c_1001_3 + 27/32, c_0101_13 + 1/32*c_1001_3^7 + 1/8*c_1001_3^6 - 5/16*c_1001_3^5 + 7/32*c_1001_3^4 - 19/32*c_1001_3^3 + 33/16*c_1001_3^2 + 3/8*c_1001_3 + 67/32, c_0101_3 + 3/16*c_1001_3^7 - 1/4*c_1001_3^6 + 1/8*c_1001_3^5 - 11/16*c_1001_3^4 + 23/16*c_1001_3^3 + 11/8*c_1001_3^2 + 9/4*c_1001_3 + 9/16, c_0101_6 - 1/32*c_1001_3^7 + 1/16*c_1001_3^6 - 1/8*c_1001_3^5 + 11/32*c_1001_3^4 - 21/32*c_1001_3^3 + 5/8*c_1001_3^2 - 11/16*c_1001_3 + 15/32, c_0101_9 - 3/32*c_1001_3^7 + 1/16*c_1001_3^5 + 7/32*c_1001_3^4 + 1/32*c_1001_3^3 - 29/16*c_1001_3^2 - 3/2*c_1001_3 - 93/32, c_0110_13 - 3/32*c_1001_3^7 + 1/8*c_1001_3^6 - 3/16*c_1001_3^5 + 19/32*c_1001_3^4 - 27/32*c_1001_3^3 - 9/16*c_1001_3^2 - 19/8*c_1001_3 - 21/32, c_1001_3^8 - c_1001_3^7 + 2*c_1001_3^6 - 7*c_1001_3^5 + 10*c_1001_3^4 + c_1001_3^3 + 34*c_1001_3^2 + 7*c_1001_3 + 17 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_3, c_0101_6, c_0101_9, c_0110_13, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 462374/2413*c_1001_3^11 + 3133603/2413*c_1001_3^10 - 11675325/2413*c_1001_3^9 + 1468603/127*c_1001_3^8 - 47464415/2413*c_1001_3^7 + 59564896/2413*c_1001_3^6 - 57588564/2413*c_1001_3^5 + 44391337/2413*c_1001_3^4 - 27980215/2413*c_1001_3^3 + 13699322/2413*c_1001_3^2 - 4416908/2413*c_1001_3 + 753324/2413, c_0011_0 - 1, c_0011_10 - 2*c_1001_3^11 + 14*c_1001_3^10 - 53*c_1001_3^9 + 129*c_1001_3^8 - 223*c_1001_3^7 + 286*c_1001_3^6 - 284*c_1001_3^5 + 227*c_1001_3^4 - 149*c_1001_3^3 + 77*c_1001_3^2 - 28*c_1001_3 + 6, c_0011_12 - c_1001_3^11 + 8*c_1001_3^10 - 33*c_1001_3^9 + 87*c_1001_3^8 - 160*c_1001_3^7 + 214*c_1001_3^6 - 215*c_1001_3^5 + 169*c_1001_3^4 - 109*c_1001_3^3 + 56*c_1001_3^2 - 19*c_1001_3 + 2, c_0011_13 + 1/3*c_1001_3^11 - 7/3*c_1001_3^10 + 29/3*c_1001_3^9 - 26*c_1001_3^8 + 152/3*c_1001_3^7 - 215/3*c_1001_3^6 + 76*c_1001_3^5 - 61*c_1001_3^4 + 40*c_1001_3^3 - 21*c_1001_3^2 + 23/3*c_1001_3 + 1/3, c_0011_14 + c_1001_3 - 1, c_0011_4 - c_1001_3^11 + 5*c_1001_3^10 - 13*c_1001_3^9 + 15*c_1001_3^8 + 4*c_1001_3^7 - 47*c_1001_3^6 + 86*c_1001_3^5 - 96*c_1001_3^4 + 77*c_1001_3^3 - 51*c_1001_3^2 + 24*c_1001_3 - 6, c_0101_0 + 2*c_1001_3^10 - 13*c_1001_3^9 + 46*c_1001_3^8 - 103*c_1001_3^7 + 162*c_1001_3^6 - 186*c_1001_3^5 + 165*c_1001_3^4 - 117*c_1001_3^3 + 67*c_1001_3^2 - 25*c_1001_3 + 5, c_0101_1 - 1, c_0101_11 + 2/3*c_1001_3^10 - 13/3*c_1001_3^9 + 47/3*c_1001_3^8 - 107/3*c_1001_3^7 + 57*c_1001_3^6 - 196/3*c_1001_3^5 + 172/3*c_1001_3^4 - 121/3*c_1001_3^3 + 70/3*c_1001_3^2 - 25/3*c_1001_3 + 2/3, c_0101_13 - 2/3*c_1001_3^11 + 14/3*c_1001_3^10 - 55/3*c_1001_3^9 + 47*c_1001_3^8 - 262/3*c_1001_3^7 + 364/3*c_1001_3^6 - 130*c_1001_3^5 + 109*c_1001_3^4 - 73*c_1001_3^3 + 38*c_1001_3^2 - 43/3*c_1001_3 + 7/3, c_0101_3 - c_1001_3^11 + 22/3*c_1001_3^10 - 86/3*c_1001_3^9 + 217/3*c_1001_3^8 - 388/3*c_1001_3^7 + 171*c_1001_3^6 - 518/3*c_1001_3^5 + 410/3*c_1001_3^4 - 260/3*c_1001_3^3 + 125/3*c_1001_3^2 - 38/3*c_1001_3 + 4/3, c_0101_6 - c_1001_3^11 + 7*c_1001_3^10 - 26*c_1001_3^9 + 61*c_1001_3^8 - 99*c_1001_3^7 + 115*c_1001_3^6 - 100*c_1001_3^5 + 69*c_1001_3^4 - 40*c_1001_3^3 + 16*c_1001_3^2 - c_1001_3 - 1, c_0101_9 + 3*c_1001_3^11 - 23*c_1001_3^10 + 92*c_1001_3^9 - 237*c_1001_3^8 + 430*c_1001_3^7 - 576*c_1001_3^6 + 589*c_1001_3^5 - 477*c_1001_3^4 + 315*c_1001_3^3 - 166*c_1001_3^2 + 61*c_1001_3 - 12, c_0110_13 + c_1001_3^11 - 5*c_1001_3^10 + 13*c_1001_3^9 - 15*c_1001_3^8 - 4*c_1001_3^7 + 47*c_1001_3^6 - 86*c_1001_3^5 + 96*c_1001_3^4 - 77*c_1001_3^3 + 51*c_1001_3^2 - 24*c_1001_3 + 6, c_1001_3^12 - 8*c_1001_3^11 + 34*c_1001_3^10 - 94*c_1001_3^9 + 186*c_1001_3^8 - 275*c_1001_3^7 + 314*c_1001_3^6 - 284*c_1001_3^5 + 209*c_1001_3^4 - 125*c_1001_3^3 + 58*c_1001_3^2 - 18*c_1001_3 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.810 Total time: 2.020 seconds, Total memory usage: 82.00MB