Magma V2.19-8 Wed Aug 21 2013 01:04:23 on localhost [Seed = 2101044528] Type ? for help. Type -D to quit. Loading file "L14n24141__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24141 geometric_solution 11.79178636 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 1302 0132 0132 0 0 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 1 -1 0 0 0 0 1 -1 0 0 -3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.514353591547 0.586043982365 0 4 5 0 0132 0132 0132 2031 1 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 0.838333199457 1.011641635163 6 7 8 0 0132 0132 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 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 -0.185082592008 1.073916681408 9 10 0 8 0132 0132 0132 2310 0 0 0 1 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 -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 0.878549698564 1.086894164917 10 1 10 11 0321 0132 2031 0132 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 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 0.535698786924 0.732234990398 9 6 7 1 3120 3201 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 -1 0 1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.156064510379 0.821211583149 2 11 5 10 0132 3120 2310 1302 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 -1 1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289235370814 0.380611530683 11 2 5 12 3120 0132 3120 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 -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 -0.546535158815 1.189401539459 3 12 12 2 3201 1023 2310 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567461989281 0.618432866999 3 11 12 5 0132 2031 0132 3120 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.101575152133 0.524511395785 4 3 6 4 0321 0132 2031 1302 0 1 1 0 0 1 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 1 -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 0 0 0 0 0.349201886131 0.889561750543 9 6 4 7 1302 3120 0132 3120 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.033007802456 0.681094990176 8 8 7 9 1023 3201 0132 0132 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.495295466597 1.087872179569 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : negation(d['c_0101_8']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_1001_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0101_12'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0011_2'], 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : negation(d['c_0011_11']), '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' : negation(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_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : d['c_0011_12'], 'c_1100_3' : d['c_0011_12'], 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : d['c_0011_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0101_8']), '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_5']), 's_1_7' : negation(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' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_12'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0011_0']), 'c_0110_12' : negation(d['c_0101_8']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_11'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_8']), 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_5']), 'c_0110_3' : negation(d['c_0101_8']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_2']})} 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_2, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0101_7, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 72706419/18122608*c_1001_1^15 - 20405545/9061304*c_1001_1^14 - 19498365/9061304*c_1001_1^13 - 2412619/323618*c_1001_1^12 + 4367586/161809*c_1001_1^11 - 47806935/2265326*c_1001_1^10 - 203818985/18122608*c_1001_1^9 - 364855711/9061304*c_1001_1^8 + 1212716559/18122608*c_1001_1^7 - 35939007/647236*c_1001_1^6 - 68094495/2588944*c_1001_1^5 - 405312823/4530652*c_1001_1^4 + 16426321/323618*c_1001_1^3 - 79110301/2265326*c_1001_1^2 - 265964471/9061304*c_1001_1 - 365828559/4530652, c_0011_0 - 1, c_0011_10 + 3/4*c_1001_1^15 + 3/2*c_1001_1^14 + 7/4*c_1001_1^13 + c_1001_1^12 + 19/4*c_1001_1^11 + 15/2*c_1001_1^10 + 15/2*c_1001_1^9 + 4*c_1001_1^8 + 41/4*c_1001_1^7 + 15*c_1001_1^6 + 14*c_1001_1^5 + 17/2*c_1001_1^4 + 13/2*c_1001_1^3 + 9*c_1001_1^2 + 7*c_1001_1 + 4, c_0011_11 + 1/2*c_1001_1^15 + c_1001_1^14 + c_1001_1^13 + 1/2*c_1001_1^12 + 3*c_1001_1^11 + 5*c_1001_1^10 + 4*c_1001_1^9 + 2*c_1001_1^8 + 13/2*c_1001_1^7 + 21/2*c_1001_1^6 + 15/2*c_1001_1^5 + 9/2*c_1001_1^4 + 4*c_1001_1^3 + 7*c_1001_1^2 + 4*c_1001_1 + 2, c_0011_12 + c_1001_1, c_0011_2 - 1/2*c_1001_1^15 - 1/2*c_1001_1^14 - 1/2*c_1001_1^13 - 3*c_1001_1^11 - 2*c_1001_1^10 - 2*c_1001_1^9 + 1/2*c_1001_1^8 - 13/2*c_1001_1^7 - 7/2*c_1001_1^6 - 4*c_1001_1^5 + c_1001_1^4 - 4*c_1001_1^3 - 2*c_1001_1^2 - 2*c_1001_1 + 1, c_0101_0 - 1, c_0101_1 - 3/4*c_1001_1^15 - c_1001_1^14 - 5/4*c_1001_1^13 - 1/2*c_1001_1^12 - 19/4*c_1001_1^11 - 9/2*c_1001_1^10 - 11/2*c_1001_1^9 - 2*c_1001_1^8 - 43/4*c_1001_1^7 - 17/2*c_1001_1^6 - 21/2*c_1001_1^5 - 9/2*c_1001_1^4 - 15/2*c_1001_1^3 - 5*c_1001_1^2 - 6*c_1001_1 - 2, c_0101_12 - c_1001_1^15 - c_1001_1^14 - c_1001_1^13 - 6*c_1001_1^11 - 4*c_1001_1^10 - 4*c_1001_1^9 - 13*c_1001_1^7 - 7*c_1001_1^6 - 8*c_1001_1^5 - c_1001_1^4 - 7*c_1001_1^3 - 4*c_1001_1^2 - 5*c_1001_1, c_0101_2 - c_1001_1^15 - c_1001_1^14 - c_1001_1^13 - 6*c_1001_1^11 - 4*c_1001_1^10 - 4*c_1001_1^9 - 13*c_1001_1^7 - 7*c_1001_1^6 - 7*c_1001_1^5 - c_1001_1^4 - 7*c_1001_1^3 - 4*c_1001_1^2 - 3*c_1001_1, c_0101_5 - c_1001_1^15 + c_1001_1^12 - 6*c_1001_1^11 + 2*c_1001_1^10 + 4*c_1001_1^8 - 13*c_1001_1^7 + 6*c_1001_1^6 - c_1001_1^5 + 6*c_1001_1^4 - 6*c_1001_1^3 + 4*c_1001_1^2 - c_1001_1 + 4, c_0101_7 - 3/4*c_1001_1^15 - c_1001_1^14 - 5/4*c_1001_1^13 - 1/2*c_1001_1^12 - 19/4*c_1001_1^11 - 9/2*c_1001_1^10 - 11/2*c_1001_1^9 - 2*c_1001_1^8 - 43/4*c_1001_1^7 - 17/2*c_1001_1^6 - 21/2*c_1001_1^5 - 9/2*c_1001_1^4 - 15/2*c_1001_1^3 - 5*c_1001_1^2 - 5*c_1001_1 - 2, c_0101_8 - 1/2*c_1001_1^15 + 1/2*c_1001_1^12 - 3*c_1001_1^11 + c_1001_1^10 + 1/2*c_1001_1^9 + 2*c_1001_1^8 - 13/2*c_1001_1^7 + 3*c_1001_1^6 + 2*c_1001_1^5 + 3*c_1001_1^4 - 3*c_1001_1^3 + 2*c_1001_1^2 + 2*c_1001_1 + 2, c_1001_1^16 + 2*c_1001_1^15 + 3*c_1001_1^14 + 2*c_1001_1^13 + 7*c_1001_1^12 + 10*c_1001_1^11 + 14*c_1001_1^10 + 8*c_1001_1^9 + 17*c_1001_1^8 + 20*c_1001_1^7 + 28*c_1001_1^6 + 16*c_1001_1^5 + 16*c_1001_1^4 + 12*c_1001_1^3 + 16*c_1001_1^2 + 8*c_1001_1 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.390 seconds, Total memory usage: 32.09MB