Magma V2.19-8 Wed Aug 21 2013 01:13:52 on localhost [Seed = 1949461197] Type ? for help. Type -D to quit. Loading file "L14n71__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n71 geometric_solution 11.81741481 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 1 -1 -10 0 1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471645570627 0.351224720367 0 3 6 5 0132 2103 0132 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 10 0 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146206342200 1.001515211159 7 0 8 5 0132 0132 0132 3201 1 0 1 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 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 0 0 0 0 0.636107044008 1.015662929776 9 1 9 0 0132 2103 3120 0132 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 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 -0.040411608169 1.158755161820 7 10 0 5 3012 0132 0132 3120 1 1 0 1 0 0 0 0 -1 0 1 0 2 -2 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 9 0 -9 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 0.656312848092 0.436285348866 4 2 1 8 3120 2310 0132 2310 1 1 0 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 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156312848092 0.436285348866 11 11 12 1 0132 0321 0132 0132 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 0.580848723293 1.074455871700 2 11 10 4 0132 1230 1302 1230 1 0 1 1 0 0 -1 1 1 0 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 -9 -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 0.302797495516 0.599603949395 5 12 10 2 3201 3201 0321 0132 1 0 1 1 0 0 0 0 0 0 1 -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 0 0 -1 1 0 0 0 0 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.060120816274 1.723893439225 3 11 3 12 0132 3120 3120 2310 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 -1 0 1 0 0 -1 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 -0.040411608169 1.158755161820 7 4 8 12 2031 0132 0321 3201 1 1 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -9 0 10 -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 0.741160254832 0.420906873684 6 9 7 6 0132 3120 3012 0321 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 -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 0.209495603468 1.293173195015 9 10 8 6 3201 2310 2310 0132 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 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530060408137 0.861946719613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_0']), 'c_1001_10' : negation(d['c_0011_5']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_1001_12']), 'c_1001_7' : d['c_0110_10'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_1001_12']), 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : negation(d['c_0110_10']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_1001_12']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : 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' : negation(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_12'], 'c_1100_8' : negation(d['c_0011_5']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_5']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_10']), 'c_1100_10' : negation(d['c_0011_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : negation(d['c_1001_12']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_1001_12']), 's_3_1' : negation(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' : d['1'], 'c_1100_12' : d['c_0011_8'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0011_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : negation(d['c_0011_10']), '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_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), '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_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_10, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 13614077529/96224*c_1001_12^5 - 105430684527/96224*c_1001_12^4 + 23418734353/6014*c_1001_12^3 - 20964519509/3007*c_1001_12^2 + 47542004563/6014*c_1001_12 - 9836212679/3007, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 9/32*c_1001_12^5 - 9/4*c_1001_12^4 + 65/8*c_1001_12^3 - 29/2*c_1001_12^2 + 31/2*c_1001_12 - 7, c_0011_12 - 3/16*c_1001_12^5 + 23/16*c_1001_12^4 - 21/4*c_1001_12^3 + 10*c_1001_12^2 - 25/2*c_1001_12 + 6, c_0011_3 + 3/32*c_1001_12^5 - 13/16*c_1001_12^4 + 13/4*c_1001_12^3 - 7*c_1001_12^2 + 17/2*c_1001_12 - 3, c_0011_5 - 1, c_0011_8 - 3/16*c_1001_12^5 + 23/16*c_1001_12^4 - 9/2*c_1001_12^3 + 13/2*c_1001_12^2 - 11/2*c_1001_12 + 2, c_0101_0 - 3/16*c_1001_12^5 + 23/16*c_1001_12^4 - 39/8*c_1001_12^3 + 33/4*c_1001_12^2 - 9*c_1001_12 + 4, c_0101_1 - 3/16*c_1001_12^5 + 23/16*c_1001_12^4 - 39/8*c_1001_12^3 + 33/4*c_1001_12^2 - 9*c_1001_12 + 4, c_0101_10 + 3/8*c_1001_12^5 - 23/8*c_1001_12^4 + 81/8*c_1001_12^3 - 73/4*c_1001_12^2 + 43/2*c_1001_12 - 10, c_0110_10 - 9/16*c_1001_12^5 + 69/16*c_1001_12^4 - 15*c_1001_12^3 + 53/2*c_1001_12^2 - 61/2*c_1001_12 + 14, c_1001_0 + c_1001_12 - 1, c_1001_12^6 - 26/3*c_1001_12^5 + 104/3*c_1001_12^4 - 224/3*c_1001_12^3 + 304/3*c_1001_12^2 - 224/3*c_1001_12 + 64/3 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0110_10, c_1001_0, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 191523/3627008*c_1001_12^8 + 157867/906752*c_1001_12^7 + 391433/518144*c_1001_12^6 + 4711279/1813504*c_1001_12^5 + 214145/64768*c_1001_12^4 + 38391/10304*c_1001_12^3 + 100753/20608*c_1001_12^2 + 287377/113344*c_1001_12 + 128349/56672, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 1/16*c_1001_12^8 + 5/32*c_1001_12^7 + 15/16*c_1001_12^6 + 87/32*c_1001_12^5 + 15/4*c_1001_12^4 + 59/8*c_1001_12^3 + 7/2*c_1001_12^2 + 9/2*c_1001_12 - 1, c_0011_12 - 1/32*c_1001_12^8 - 9/32*c_1001_12^6 - 1/4*c_1001_12^5 + 21/16*c_1001_12^4 + 1/4*c_1001_12^3 + 11/2*c_1001_12^2 + 3/2*c_1001_12 + 4, c_0011_3 + 1/32*c_1001_12^8 + 3/32*c_1001_12^7 + 17/32*c_1001_12^6 + 53/32*c_1001_12^5 + 47/16*c_1001_12^4 + 23/4*c_1001_12^3 + 11/2*c_1001_12^2 + 11/2*c_1001_12 + 3, c_0011_5 + 1, c_0011_8 + 1/8*c_1001_12^8 + 9/16*c_1001_12^7 + 39/16*c_1001_12^6 + 143/16*c_1001_12^5 + 279/16*c_1001_12^4 + 53/2*c_1001_12^3 + 65/2*c_1001_12^2 + 41/2*c_1001_12 + 14, c_0101_0 - 1/8*c_1001_12^8 - 5/16*c_1001_12^7 - 29/16*c_1001_12^6 - 85/16*c_1001_12^5 - 109/16*c_1001_12^4 - 103/8*c_1001_12^3 - 27/4*c_1001_12^2 - 7*c_1001_12, c_0101_1 + 1/32*c_1001_12^8 + 1/4*c_1001_12^7 + 29/32*c_1001_12^6 + 31/8*c_1001_12^5 + 149/16*c_1001_12^4 + 107/8*c_1001_12^3 + 81/4*c_1001_12^2 + 12*c_1001_12 + 10, c_0101_10 - 5/32*c_1001_12^8 - 5/16*c_1001_12^7 - 67/32*c_1001_12^6 - 89/16*c_1001_12^5 - 11/2*c_1001_12^4 - 101/8*c_1001_12^3 - 5/4*c_1001_12^2 - 11/2*c_1001_12 + 4, c_0110_10 + 3/16*c_1001_12^8 + 9/16*c_1001_12^7 + 3*c_1001_12^6 + 151/16*c_1001_12^5 + 237/16*c_1001_12^4 + 26*c_1001_12^3 + 43/2*c_1001_12^2 + 35/2*c_1001_12 + 6, c_1001_0 + c_1001_12 + 1, c_1001_12^9 + 3*c_1001_12^8 + 17*c_1001_12^7 + 53*c_1001_12^6 + 94*c_1001_12^5 + 184*c_1001_12^4 + 176*c_1001_12^3 + 208*c_1001_12^2 + 96*c_1001_12 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.410 seconds, Total memory usage: 32.09MB