Magma V2.19-8 Tue Aug 20 2013 23:56:29 on localhost [Seed = 2496855171] Type ? for help. Type -D to quit. Loading file "L14n2296__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2296 geometric_solution 10.48045105 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 1 1 1 1 0 1 0 -1 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 2 -1 -1 2 0 -2 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 0.918640032862 1.032045014062 0 4 6 5 0132 0132 0132 0132 1 1 1 1 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 0 0 0 -2 0 2 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435192184479 0.345151107933 0 0 8 7 3012 0132 0132 0132 1 1 1 1 0 -1 1 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 -2 2 0 1 0 0 -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 0.075914161851 0.962965386921 5 6 9 0 1023 3201 0132 0132 1 1 1 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 0 0 0 0 0 0 0 -1 0 1 0 0 -2 2 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.433297796447 1.840694551339 6 1 8 8 0321 0132 0213 1230 1 1 1 1 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 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 0.631304401363 0.741559014205 10 3 1 10 0132 1023 0132 3201 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 0.309358220125 0.659356375819 4 9 3 1 0321 3120 2310 0132 1 1 1 1 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 1 0 1 -2 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307917644084 0.823220948255 11 11 2 11 0132 1230 0132 2031 1 1 0 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 0 0 0 0 1 -1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.081359967138 1.032045014062 4 4 9 2 3012 0213 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 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 0.631304401363 0.741559014205 8 6 11 3 2031 3120 1230 0132 1 1 1 1 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 -2 0 0 2 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.183314811408 0.591201342756 5 5 10 10 0132 2310 1230 3012 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 1.929470194499 0.668663411051 7 7 7 9 0132 1302 3012 3012 1 1 1 0 0 1 -1 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 -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 1.075914161851 0.962965386921 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_0']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(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_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_9'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_11' : negation(d['c_1001_0']), 'c_1100_10' : d['c_0101_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_9']), 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : negation(d['c_0011_9']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_2'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_0101_7'], 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_6']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_9']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_11'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 19/91728*c_1001_0 + 1/30576, c_0011_0 - 1, c_0011_10 - c_1001_0 + 2, c_0011_11 + 1, c_0011_6 + 1/2*c_1001_0 + 1/2, c_0011_9 - 1/2*c_1001_0 + 7/2, c_0101_0 + 1/2*c_1001_0 + 1/2, c_0101_10 + c_1001_0, c_0101_2 + c_1001_0 - 1, c_0101_3 + 1/2*c_1001_0 + 9/2, c_0101_7 + c_1001_0 - 2, c_0101_9 - 2*c_1001_0 + 2, c_1001_0^2 + 3 ], 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_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 5217489/10852396544*c_1001_0^5 + 11729/51555328*c_1001_0^4 + 98383/339137392*c_1001_0^3 + 26938457/32557189632*c_1001_0^2 + 47950829/32557189632*c_1001_0 - 140100651/21704793088, c_0011_0 - 1, c_0011_10 + 1/8*c_1001_0^5 - 7/16*c_1001_0^4 - 9/8*c_1001_0^3 + 1/2*c_1001_0 - 97/16, c_0011_11 + 1, c_0011_6 - 1/8*c_1001_0^5 + 3/16*c_1001_0^4 + 1/4*c_1001_0^3 + 1/8*c_1001_0^2 - 5/8*c_1001_0 + 35/16, c_0011_9 - 3/8*c_1001_0^5 - 7/16*c_1001_0^4 - 3/4*c_1001_0^3 - 1/8*c_1001_0^2 - 19/8*c_1001_0 - 31/16, c_0101_0 + 1/8*c_1001_0^5 + 1/16*c_1001_0^4 + 1/8*c_1001_0^3 + 1/2*c_1001_0^2 + 5/4*c_1001_0 - 1/16, c_0101_10 - 1/8*c_1001_0^5 - 9/16*c_1001_0^4 - 3/8*c_1001_0^3 - 1/2*c_1001_0^2 - 2*c_1001_0 - 39/16, c_0101_2 + c_1001_0 - 1, c_0101_3 - 5/8*c_1001_0^5 - 1/16*c_1001_0^4 - 1/4*c_1001_0^3 + 1/8*c_1001_0^2 - 29/8*c_1001_0 + 39/16, c_0101_7 + c_1001_0 - 2, c_0101_9 - 2*c_1001_0 + 2, c_1001_0^6 - 1/2*c_1001_0^5 + 1/2*c_1001_0^4 + 3*c_1001_0^3 + 6*c_1001_0^2 - 21/2*c_1001_0 + 33/2 ], 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_6, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 883895/564850688*c_1001_0^6 - 34/137903*c_1001_0^5 + 8617125/564850688*c_1001_0^4 + 1932117/35303168*c_1001_0^3 + 147912363/564850688*c_1001_0^2 + 12909643/35303168*c_1001_0 + 217089447/564850688, c_0011_0 - 1, c_0011_10 + 1/32*c_1001_0^6 - 1/8*c_1001_0^5 + 3/32*c_1001_0^4 - 9/8*c_1001_0^3 - 13/32*c_1001_0^2 - 5/4*c_1001_0 + 89/32, c_0011_11 + 1, c_0011_6 - 1/32*c_1001_0^6 + 1/16*c_1001_0^5 + 3/32*c_1001_0^4 + 9/8*c_1001_0^3 + 85/32*c_1001_0^2 + 69/16*c_1001_0 + 89/32, c_0011_9 - 1/32*c_1001_0^6 + 1/16*c_1001_0^5 + 3/32*c_1001_0^4 + 9/8*c_1001_0^3 + 85/32*c_1001_0^2 + 69/16*c_1001_0 + 89/32, c_0101_0 - 1/64*c_1001_0^6 + 1/32*c_1001_0^5 + 1/64*c_1001_0^4 + 11/16*c_1001_0^3 + 81/64*c_1001_0^2 + 105/32*c_1001_0 + 111/64, c_0101_10 + 3/64*c_1001_0^6 - 1/8*c_1001_0^5 - 1/64*c_1001_0^4 - 15/8*c_1001_0^3 - 175/64*c_1001_0^2 - 11/2*c_1001_0 - 51/64, c_0101_2 - c_1001_0 - 1, c_0101_3 + 1/32*c_1001_0^6 - 1/16*c_1001_0^5 - 3/32*c_1001_0^4 - 9/8*c_1001_0^3 - 85/32*c_1001_0^2 - 69/16*c_1001_0 - 89/32, c_0101_7 + c_1001_0 + 2, c_0101_9 - 2*c_1001_0 - 2, c_1001_0^7 - c_1001_0^6 - 3*c_1001_0^5 - 45*c_1001_0^4 - 125*c_1001_0^3 - 291*c_1001_0^2 - 321*c_1001_0 - 239 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.300 seconds, Total memory usage: 32.09MB