Magma V2.19-8 Tue Aug 20 2013 23:41:03 on localhost [Seed = 2749744961] Type ? for help. Type -D to quit. Loading file "K12n451__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n451 geometric_solution 11.22997444 oriented_manifold CS_known 0.0000000000000011 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.417387905009 1.821058705682 0 4 6 5 0132 1023 0132 0132 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 -1 -1 0 5 -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 0.177060691748 0.741276040378 7 0 9 8 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -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 0 0 -4 0 4 0 5 0 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.256233827743 1.235113004559 10 11 6 0 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 -4 4 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159371234977 0.498143408600 1 7 0 8 1023 0132 0132 0213 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 0 0 0 1 -1 0 -1 0 1 0 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065786860780 0.964564029253 10 7 1 11 2103 0321 0132 1302 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 1 0 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 0.379483530163 1.224672499758 10 3 8 1 3120 1230 2310 0132 0 0 0 0 0 0 0 0 0 0 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 5 -5 4 -5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.177060691748 0.741276040378 2 4 9 5 0132 0132 0321 0321 0 0 0 0 0 0 0 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 -1 0 1 4 0 -4 0 0 -1 0 1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428198623499 0.385080119316 11 6 2 4 0213 3201 0132 0213 0 0 0 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 0 0 0 5 0 0 -5 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379483530163 1.224672499758 10 11 7 2 1302 1302 0321 0132 0 0 0 0 0 0 0 0 1 0 0 -1 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 0 -4 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357804851187 0.594177903324 3 9 5 6 0132 2031 2103 3120 0 0 0 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 4 0 -4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929618017665 1.031937497294 8 3 5 9 0213 0132 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 -5 5 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541490134947 0.837507356751 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0110_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_6']), '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_0011_8'], 'c_0101_10' : d['c_0101_0'], '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_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_1100_9' : d['c_1001_7'], 'c_1100_8' : d['c_1001_7'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : d['c_0110_11'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_1001_6']), 'c_1100_3' : negation(d['c_1001_6']), 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0110_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_6']), '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' : negation(d['c_0011_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_5']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0110_11']), '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_0011_10'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_11'], 'c_0110_7' : negation(d['c_0011_5']), 'c_0110_6' : d['c_0101_1']})} 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_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_6, c_0110_11, c_1001_2, c_1001_6, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 18911495/7371*c_1001_7^9 + 8576735/7371*c_1001_7^8 - 13926277/2457*c_1001_7^7 - 12575740/2457*c_1001_7^6 - 284945/1053*c_1001_7^5 + 303436177/7371*c_1001_7^4 + 164923399/7371*c_1001_7^3 - 225102308/7371*c_1001_7^2 - 66826832/2457*c_1001_7 - 42082424/7371, c_0011_0 - 1, c_0011_10 + 51*c_1001_7^9 - 28*c_1001_7^8 + 117*c_1001_7^7 + 89*c_1001_7^6 + c_1001_7^5 - 817*c_1001_7^4 - 368*c_1001_7^3 + 615*c_1001_7^2 + 480*c_1001_7 + 91, c_0011_5 + c_1001_7, c_0011_6 - c_1001_7^9 - 2*c_1001_7^7 - 3*c_1001_7^6 - c_1001_7^5 + 16*c_1001_7^4 + 16*c_1001_7^3 - 8*c_1001_7^2 - 17*c_1001_7 - 6, c_0011_8 - 21*c_1001_7^9 + 13*c_1001_7^8 - 50*c_1001_7^7 - 32*c_1001_7^6 - c_1001_7^5 + 337*c_1001_7^4 + 128*c_1001_7^3 - 247*c_1001_7^2 - 184*c_1001_7 - 35, c_0101_0 - 8*c_1001_7^9 + 9*c_1001_7^8 - 23*c_1001_7^7 - c_1001_7^6 + 2*c_1001_7^5 + 128*c_1001_7^4 - 15*c_1001_7^3 - 95*c_1001_7^2 - 23*c_1001_7 + 3, c_0101_1 - 64*c_1001_7^9 + 32*c_1001_7^8 - 144*c_1001_7^7 - 120*c_1001_7^6 - 4*c_1001_7^5 + 1026*c_1001_7^4 + 511*c_1001_7^3 - 768*c_1001_7^2 - 640*c_1001_7 - 128, c_0101_6 + c_1001_7^9 + 2*c_1001_7^7 + 3*c_1001_7^6 + c_1001_7^5 - 16*c_1001_7^4 - 16*c_1001_7^3 + 8*c_1001_7^2 + 17*c_1001_7 + 6, c_0110_11 + 1, c_1001_2 - 50*c_1001_7^9 + 24*c_1001_7^8 - 111*c_1001_7^7 - 97*c_1001_7^6 - 2*c_1001_7^5 + 802*c_1001_7^4 + 416*c_1001_7^3 - 607*c_1001_7^2 - 511*c_1001_7 - 101, c_1001_6 - 18*c_1001_7^9 + 8*c_1001_7^8 - 39*c_1001_7^7 - 37*c_1001_7^6 + 289*c_1001_7^4 + 160*c_1001_7^3 - 223*c_1001_7^2 - 191*c_1001_7 - 37, c_1001_7^10 + 2*c_1001_7^8 + 3*c_1001_7^7 + c_1001_7^6 - 16*c_1001_7^5 - 16*c_1001_7^4 + 8*c_1001_7^3 + 16*c_1001_7^2 + 7*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.830 Total time: 1.040 seconds, Total memory usage: 64.12MB