Magma V2.19-8 Tue Aug 20 2013 18:12:47 on localhost [Seed = 3600248152] Type ? for help. Type -D to quit. Loading file "10^2_86__sl2_c0.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' : 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' : 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_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' : 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' : 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' : 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: 9 Groebner basis: [ t - 1024049/39200*c_1001_3^8 + 1935707/19600*c_1001_3^7 - 306163/784*c_1001_3^6 + 31392981/39200*c_1001_3^5 - 61320187/39200*c_1001_3^4 + 16797663/9800*c_1001_3^3 - 685809/392*c_1001_3^2 + 25533177/39200*c_1001_3 - 9295021/19600, c_0011_0 - 1, c_0011_10 + 1/32*c_1001_3^8 - 1/16*c_1001_3^7 + 5/16*c_1001_3^6 - 17/32*c_1001_3^5 + 35/32*c_1001_3^4 - 5/4*c_1001_3^3 + c_1001_3^2 - 21/32*c_1001_3 - 15/16, c_0011_12 + 1/32*c_1001_3^8 - 1/16*c_1001_3^7 + 5/16*c_1001_3^6 - 9/32*c_1001_3^5 + 27/32*c_1001_3^4 + 1/4*c_1001_3^3 + 3/4*c_1001_3^2 + 19/32*c_1001_3 + 9/16, c_0011_13 + 1/16*c_1001_3^7 - 1/16*c_1001_3^6 + 9/16*c_1001_3^5 - 1/4*c_1001_3^4 + 23/16*c_1001_3^3 + 3/16*c_1001_3^2 + 15/16*c_1001_3 + 9/8, c_0011_14 + 1, c_0011_4 + 3/32*c_1001_3^8 - 1/4*c_1001_3^7 + c_1001_3^6 - 45/32*c_1001_3^5 + 81/32*c_1001_3^4 - 15/16*c_1001_3^3 + 1/16*c_1001_3^2 + 67/32*c_1001_3 - 3/16, c_0101_0 - 1/8*c_1001_3^8 + 5/16*c_1001_3^7 - 21/16*c_1001_3^6 + 27/16*c_1001_3^5 - 27/8*c_1001_3^4 + 11/16*c_1001_3^3 - 13/16*c_1001_3^2 - 43/16*c_1001_3 - 3/8, c_0101_1 - 1, c_0101_11 + 1/32*c_1001_3^8 - 1/16*c_1001_3^7 + 3/16*c_1001_3^6 - 9/32*c_1001_3^5 - 1/32*c_1001_3^4 - 1/8*c_1001_3^3 - 3/4*c_1001_3^2 - 17/32*c_1001_3 - 7/16, c_0101_13 - 1/32*c_1001_3^8 - 1/8*c_1001_3^6 - 9/32*c_1001_3^5 + 1/32*c_1001_3^4 - 17/16*c_1001_3^3 - 7/16*c_1001_3^2 - 5/32*c_1001_3 - 15/16, c_0101_3 + 1/16*c_1001_3^8 - 1/4*c_1001_3^7 + 3/4*c_1001_3^6 - 23/16*c_1001_3^5 + 27/16*c_1001_3^4 - 9/8*c_1001_3^3 - 9/8*c_1001_3^2 + 13/16*c_1001_3 - 3/8, c_0101_6 - 1/32*c_1001_3^8 + 1/16*c_1001_3^7 - 5/16*c_1001_3^6 + 9/32*c_1001_3^5 - 27/32*c_1001_3^4 - 1/4*c_1001_3^3 - 3/4*c_1001_3^2 - 19/32*c_1001_3 - 9/16, c_0101_9 - 3/32*c_1001_3^8 + 3/8*c_1001_3^7 - 5/4*c_1001_3^6 + 81/32*c_1001_3^5 - 117/32*c_1001_3^4 + 51/16*c_1001_3^3 - 3/16*c_1001_3^2 - 51/32*c_1001_3 + 27/16, c_0110_13 - 3/32*c_1001_3^8 + 1/4*c_1001_3^7 - c_1001_3^6 + 45/32*c_1001_3^5 - 81/32*c_1001_3^4 + 15/16*c_1001_3^3 - 1/16*c_1001_3^2 - 67/32*c_1001_3 + 3/16, c_1001_3^9 - 3*c_1001_3^8 + 12*c_1001_3^7 - 19*c_1001_3^6 + 36*c_1001_3^5 - 19*c_1001_3^4 + 16*c_1001_3^3 + 27*c_1001_3^2 - c_1001_3 + 14 ], 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 - 12637480/2967759*c_1001_3^11 - 251588057/8903277*c_1001_3^10 - 849803915/8903277*c_1001_3^9 - 613226993/2967759*c_1001_3^8 - 2817607591/8903277*c_1001_3^7 - 3221209084/8903277*c_1001_3^6 - 2854794748/8903277*c_1001_3^5 - 2019526303/8903277*c_1001_3^4 - 1124635399/8903277*c_1001_3^3 - 485654188/8903277*c_1001_3^2 - 145430348/8903277*c_1001_3 - 33425782/8903277, c_0011_0 - 1, c_0011_10 - 6*c_1001_3^11 - 34*c_1001_3^10 - 103*c_1001_3^9 - 193*c_1001_3^8 - 249*c_1001_3^7 - 218*c_1001_3^6 - 132*c_1001_3^5 - 41*c_1001_3^4 + 5*c_1001_3^3 + 21*c_1001_3^2 + 10*c_1001_3 + 4, c_0011_12 + 3*c_1001_3^11 + 20*c_1001_3^10 + 67*c_1001_3^9 + 141*c_1001_3^8 + 206*c_1001_3^7 + 220*c_1001_3^6 + 181*c_1001_3^5 + 119*c_1001_3^4 + 61*c_1001_3^3 + 22*c_1001_3^2 + 5*c_1001_3 + 2, c_0011_13 - 9*c_1001_3^11 - 69*c_1001_3^10 - 261*c_1001_3^9 - 624*c_1001_3^8 - 1038*c_1001_3^7 - 1261*c_1001_3^6 - 1156*c_1001_3^5 - 823*c_1001_3^4 - 458*c_1001_3^3 - 191*c_1001_3^2 - 51*c_1001_3 - 9, c_0011_14 - c_1001_3 - 1, c_0011_4 + 9*c_1001_3^11 + 51*c_1001_3^10 + 153*c_1001_3^9 + 287*c_1001_3^8 + 378*c_1001_3^7 + 359*c_1001_3^6 + 266*c_1001_3^5 + 152*c_1001_3^4 + 69*c_1001_3^3 + 17*c_1001_3^2 + 4*c_1001_3, c_0101_0 - 6*c_1001_3^11 - 34*c_1001_3^10 - 103*c_1001_3^9 - 196*c_1001_3^8 - 263*c_1001_3^7 - 254*c_1001_3^6 - 190*c_1001_3^5 - 109*c_1001_3^4 - 51*c_1001_3^3 - 13*c_1001_3^2 - c_1001_3 + 1, c_0101_1 - 1, c_0101_11 + 24*c_1001_3^11 + 160*c_1001_3^10 + 551*c_1001_3^9 + 1207*c_1001_3^8 + 1861*c_1001_3^7 + 2101*c_1001_3^6 + 1808*c_1001_3^5 + 1206*c_1001_3^4 + 631*c_1001_3^3 + 238*c_1001_3^2 + 59*c_1001_3 + 8, c_0101_13 - 6*c_1001_3^11 - 40*c_1001_3^10 - 137*c_1001_3^9 - 299*c_1001_3^8 - 462*c_1001_3^7 - 528*c_1001_3^6 - 466*c_1001_3^5 - 321*c_1001_3^4 - 173*c_1001_3^3 - 66*c_1001_3^2 - 17*c_1001_3 - 1, c_0101_3 - 3*c_1001_3^11 - 20*c_1001_3^10 - 70*c_1001_3^9 - 155*c_1001_3^8 - 242*c_1001_3^7 - 275*c_1001_3^6 - 238*c_1001_3^5 - 156*c_1001_3^4 - 78*c_1001_3^3 - 23*c_1001_3^2 - 2*c_1001_3 + 2, c_0101_6 + 3*c_1001_3^11 + 17*c_1001_3^10 + 50*c_1001_3^9 + 91*c_1001_3^8 + 115*c_1001_3^7 + 105*c_1001_3^6 + 76*c_1001_3^5 + 43*c_1001_3^4 + 18*c_1001_3^3 + 4*c_1001_3^2 + 3*c_1001_3 + 1, c_0101_9 + 9*c_1001_3^11 + 57*c_1001_3^10 + 190*c_1001_3^9 + 401*c_1001_3^8 + 596*c_1001_3^7 + 644*c_1001_3^6 + 533*c_1001_3^5 + 341*c_1001_3^4 + 175*c_1001_3^3 + 62*c_1001_3^2 + 17*c_1001_3 + 2, c_0110_13 - 9*c_1001_3^11 - 51*c_1001_3^10 - 153*c_1001_3^9 - 287*c_1001_3^8 - 378*c_1001_3^7 - 359*c_1001_3^6 - 266*c_1001_3^5 - 152*c_1001_3^4 - 69*c_1001_3^3 - 17*c_1001_3^2 - 4*c_1001_3, c_1001_3^12 + 20/3*c_1001_3^11 + 70/3*c_1001_3^10 + 158/3*c_1001_3^9 + 256/3*c_1001_3^8 + 311/3*c_1001_3^7 + 296/3*c_1001_3^6 + 224/3*c_1001_3^5 + 137/3*c_1001_3^4 + 65/3*c_1001_3^3 + 8*c_1001_3^2 + 2*c_1001_3 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.840 Total time: 2.049 seconds, Total memory usage: 84.00MB