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Loading file "K14n19949__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n19949 geometric_solution 10.31730564 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 0321 0132 0 0 0 0 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 -1 1 0 0 13 -13 -1 1 0 0 12 0 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358178006339 0.418335601346 0 3 0 4 0132 2103 0321 0132 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 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 0 12 -12 -12 -1 0 13 1 12 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705799484717 0.924159887089 5 0 7 6 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 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 0.861042900117 0.807428307107 4 1 0 6 0321 2103 0132 2310 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 -1 0 -13 0 13 0 0 0 0 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.206596042516 1.148225030780 3 8 1 6 0321 0132 0132 0321 0 0 0 0 0 0 0 0 1 0 -1 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 -12 0 12 0 0 0 0 0 13 0 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.232754791033 0.814296122544 2 7 8 9 0132 3120 1302 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 -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 0.645795138987 0.736222600023 3 4 2 9 3201 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970862988804 0.723496280815 10 5 10 2 0132 3120 0213 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 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315815212778 0.419129918443 5 4 10 9 2031 0132 1230 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0.709480688236 0.452018202403 10 8 5 6 2103 0321 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.459725579734 0.942293601354 7 7 9 8 0132 0213 2103 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222277025174 1.203901795512 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : d['c_0110_6'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_1001_0'], '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_0011_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0110_9'], 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], '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_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_0101_8'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0110_9']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : negation(d['c_0110_6']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0110_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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0110_6'], '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_10' : d['c_0011_10'], 'c_0011_6' : d['c_0011_3'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_9, c_0101_0, c_0101_10, c_0101_8, c_0110_6, c_0110_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 66879282877282/66931599307*c_1001_0^14 - 423944377511392/66931599307*c_1001_0^13 + 1174553366129157/66931599307*c_1001_0^12 - 1412936177995788/66931599307*c_1001_0^11 - 179874237394708/66931599307*c_1001_0^10 + 2591500797896201/66931599307*c_1001_0^9 - 2143773453041653/66931599307*c_1001_0^8 - 1285350132310999/66931599307*c_1001_0^7 + 2943215872095785/66931599307*c_1001_0^6 - 12463910108642/1424076581*c_1001_0^5 - 1627109901774835/66931599307*c_1001_0^4 + 1278817336933854/66931599307*c_1001_0^3 - 6311532741228/3522715753*c_1001_0^2 - 63169090873708/66931599307*c_1001_0 + 4130549861934/66931599307, c_0011_0 - 1, c_0011_10 + c_1001_0^14 - 5*c_1001_0^13 + 8*c_1001_0^12 + 8*c_1001_0^11 - 43*c_1001_0^10 + 41*c_1001_0^9 + 38*c_1001_0^8 - 92*c_1001_0^7 + 14*c_1001_0^6 + 87*c_1001_0^5 - 53*c_1001_0^4 - 37*c_1001_0^3 + 42*c_1001_0^2 - c_1001_0 - 8, c_0011_3 - 2*c_1001_0^14 + 15*c_1001_0^13 - 51*c_1001_0^12 + 90*c_1001_0^11 - 62*c_1001_0^10 - 64*c_1001_0^9 + 161*c_1001_0^8 - 77*c_1001_0^7 - 106*c_1001_0^6 + 145*c_1001_0^5 - 14*c_1001_0^4 - 93*c_1001_0^3 + 73*c_1001_0^2 - 18*c_1001_0 - 3, c_0011_4 - 7*c_1001_0^14 + 54*c_1001_0^13 - 186*c_1001_0^12 + 329*c_1001_0^11 - 215*c_1001_0^10 - 268*c_1001_0^9 + 617*c_1001_0^8 - 245*c_1001_0^7 - 461*c_1001_0^6 + 541*c_1001_0^5 + 22*c_1001_0^4 - 382*c_1001_0^3 + 241*c_1001_0^2 - 29*c_1001_0 - 15, c_0011_9 - 3*c_1001_0^14 + 20*c_1001_0^13 - 60*c_1001_0^12 + 87*c_1001_0^11 - 28*c_1001_0^10 - 107*c_1001_0^9 + 151*c_1001_0^8 - 13*c_1001_0^7 - 144*c_1001_0^6 + 112*c_1001_0^5 + 34*c_1001_0^4 - 102*c_1001_0^3 + 52*c_1001_0^2 - 9, c_0101_0 + 6*c_1001_0^14 - 44*c_1001_0^13 + 145*c_1001_0^12 - 242*c_1001_0^11 + 136*c_1001_0^10 + 224*c_1001_0^9 - 440*c_1001_0^8 + 135*c_1001_0^7 + 352*c_1001_0^6 - 360*c_1001_0^5 - 41*c_1001_0^4 + 269*c_1001_0^3 - 160*c_1001_0^2 + 21*c_1001_0 + 9, c_0101_10 + 5*c_1001_0^14 - 37*c_1001_0^13 + 123*c_1001_0^12 - 208*c_1001_0^11 + 122*c_1001_0^10 + 185*c_1001_0^9 - 379*c_1001_0^8 + 127*c_1001_0^7 + 295*c_1001_0^6 - 316*c_1001_0^5 - 26*c_1001_0^4 + 231*c_1001_0^3 - 144*c_1001_0^2 + 20*c_1001_0 + 9, c_0101_8 - 4*c_1001_0^14 + 32*c_1001_0^13 - 114*c_1001_0^12 + 211*c_1001_0^11 - 155*c_1001_0^10 - 147*c_1001_0^9 + 399*c_1001_0^8 - 195*c_1001_0^7 - 272*c_1001_0^6 + 370*c_1001_0^5 - 17*c_1001_0^4 - 246*c_1001_0^3 + 171*c_1001_0^2 - 25*c_1001_0 - 10, c_0110_6 + c_1001_0^14 - 10*c_1001_0^13 + 42*c_1001_0^12 - 92*c_1001_0^11 + 90*c_1001_0^10 + 36*c_1001_0^9 - 185*c_1001_0^8 + 131*c_1001_0^7 + 101*c_1001_0^6 - 192*c_1001_0^5 + 37*c_1001_0^4 + 110*c_1001_0^3 - 90*c_1001_0^2 + 19*c_1001_0 + 4, c_0110_9 + c_1001_0^14 - 10*c_1001_0^13 + 42*c_1001_0^12 - 92*c_1001_0^11 + 90*c_1001_0^10 + 36*c_1001_0^9 - 185*c_1001_0^8 + 131*c_1001_0^7 + 101*c_1001_0^6 - 192*c_1001_0^5 + 37*c_1001_0^4 + 109*c_1001_0^3 - 89*c_1001_0^2 + 19*c_1001_0 + 3, c_1001_0^15 - 8*c_1001_0^14 + 29*c_1001_0^13 - 56*c_1001_0^12 + 48*c_1001_0^11 + 25*c_1001_0^10 - 100*c_1001_0^9 + 69*c_1001_0^8 + 49*c_1001_0^7 - 101*c_1001_0^6 + 29*c_1001_0^5 + 54*c_1001_0^4 - 56*c_1001_0^3 + 18*c_1001_0^2 + c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.470 Total time: 0.690 seconds, Total memory usage: 32.09MB