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Loading file "K14n18211__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18211 geometric_solution 8.92080609 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 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 -10 0 10 -11 0 0 11 -1 1 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.728561706195 0.523118494758 0 4 5 2 0132 2103 0132 0213 0 0 0 0 0 0 0 0 -1 0 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 11 0 0 -11 11 -11 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.624318419573 0.489888658541 6 0 7 1 0132 0132 0132 0213 0 0 0 0 0 -1 1 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 10 -10 0 0 0 0 0 0 -11 0 11 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.822903094891 1.173395287351 4 8 9 0 3120 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 -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 0.378331980605 0.479444502380 6 1 0 3 2310 2103 0132 3120 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 11 -10 -1 10 0 -11 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 0.822903094891 1.173395287351 9 6 8 1 2310 1302 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.856689185986 0.384114363282 2 9 4 5 0132 1023 3201 2031 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 -1 1 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423213607486 0.728000973336 10 9 8 2 0132 3120 3201 0132 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 -10 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 0 0 0 0.125899309716 0.633068327481 7 3 5 10 2310 0132 0321 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391548748258 0.762589557350 6 7 5 3 1023 3120 3201 0132 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 1 -1 -1 0 0 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779885129688 0.437633968425 7 10 8 10 0132 1302 2031 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508125486725 0.237573578832 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0011_10'], '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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_5']), 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : negation(d['c_0011_5']), 'c_1100_3' : negation(d['c_0011_5']), 'c_1100_2' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_0'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_10'], '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_0101_7'], 'c_0011_6' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : negation(d['c_0101_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_5'], 'c_0110_8' : negation(d['c_0101_7']), '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_0101_0']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], '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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 26810569/5060601*c_1001_0^11 - 11527349/1686867*c_1001_0^10 + 26621550/562289*c_1001_0^9 + 227997950/5060601*c_1001_0^8 - 91487350/722943*c_1001_0^7 - 638358904/5060601*c_1001_0^6 + 66010232/562289*c_1001_0^5 + 364814260/1686867*c_1001_0^4 - 548878523/5060601*c_1001_0^3 - 1401960548/5060601*c_1001_0^2 + 968454337/5060601*c_1001_0 + 51756682/240981, c_0011_0 - 1, c_0011_10 + 800/10101*c_1001_0^11 + 1216/10101*c_1001_0^10 - 1656/3367*c_1001_0^9 - 5683/10101*c_1001_0^8 + 3132/3367*c_1001_0^7 + 3995/3367*c_1001_0^6 - 12020/10101*c_1001_0^5 - 6183/3367*c_1001_0^4 + 2344/1443*c_1001_0^3 + 7310/3367*c_1001_0^2 - 3300/3367*c_1001_0 - 16447/10101, c_0011_3 + 926/10101*c_1001_0^11 - 3845/10101*c_1001_0^10 - 368/3367*c_1001_0^9 + 11831/10101*c_1001_0^8 + 696/3367*c_1001_0^7 - 5098/3367*c_1001_0^6 - 12398/10101*c_1001_0^5 + 8727/3367*c_1001_0^4 + 2338/1443*c_1001_0^3 - 9973/3367*c_1001_0^2 - 2978/3367*c_1001_0 + 22907/10101, c_0011_4 + 1045/10101*c_1001_0^11 - 2452/10101*c_1001_0^10 - 648/3367*c_1001_0^9 + 8170/10101*c_1001_0^8 + 640/3367*c_1001_0^7 - 4146/3367*c_1001_0^6 - 9388/10101*c_1001_0^5 + 7096/3367*c_1001_0^4 + 1691/1443*c_1001_0^3 - 10022/3367*c_1001_0^2 - 3048/3367*c_1001_0 + 24160/10101, c_0011_5 + 926/10101*c_1001_0^11 - 3845/10101*c_1001_0^10 - 368/3367*c_1001_0^9 + 11831/10101*c_1001_0^8 + 696/3367*c_1001_0^7 - 5098/3367*c_1001_0^6 - 12398/10101*c_1001_0^5 + 8727/3367*c_1001_0^4 + 2338/1443*c_1001_0^3 - 9973/3367*c_1001_0^2 - 6345/3367*c_1001_0 + 22907/10101, c_0101_0 - 1/21*c_1001_0^11 + 1/21*c_1001_0^10 + 2/7*c_1001_0^9 - 4/21*c_1001_0^8 - 5/7*c_1001_0^7 + 1/7*c_1001_0^6 + 25/21*c_1001_0^5 + 1/7*c_1001_0^4 - 5/3*c_1001_0^3 - 1/7*c_1001_0^2 + 12/7*c_1001_0 + 2/21, c_0101_1 + 1045/10101*c_1001_0^11 - 2452/10101*c_1001_0^10 - 648/3367*c_1001_0^9 + 8170/10101*c_1001_0^8 + 640/3367*c_1001_0^7 - 4146/3367*c_1001_0^6 - 9388/10101*c_1001_0^5 + 7096/3367*c_1001_0^4 + 1691/1443*c_1001_0^3 - 10022/3367*c_1001_0^2 - 3048/3367*c_1001_0 + 34261/10101, c_0101_10 + 1045/10101*c_1001_0^11 - 2452/10101*c_1001_0^10 - 648/3367*c_1001_0^9 + 8170/10101*c_1001_0^8 + 640/3367*c_1001_0^7 - 4146/3367*c_1001_0^6 - 9388/10101*c_1001_0^5 + 7096/3367*c_1001_0^4 + 1691/1443*c_1001_0^3 - 10022/3367*c_1001_0^2 - 3048/3367*c_1001_0 + 24160/10101, c_0101_5 - 1874/10101*c_1001_0^11 + 2000/10101*c_1001_0^10 + 2061/3367*c_1001_0^9 - 3632/10101*c_1001_0^8 - 3532/3367*c_1001_0^7 - 562/3367*c_1001_0^6 + 19571/10101*c_1001_0^5 + 1748/3367*c_1001_0^4 - 2980/1443*c_1001_0^3 - 1888/3367*c_1001_0^2 + 5205/3367*c_1001_0 + 4714/10101, c_0101_7 - 600/3367*c_1001_0^11 - 912/3367*c_1001_0^10 + 3726/3367*c_1001_0^9 + 5104/3367*c_1001_0^8 - 7047/3367*c_1001_0^7 - 11514/3367*c_1001_0^6 + 5648/3367*c_1001_0^5 + 16437/3367*c_1001_0^4 - 796/481*c_1001_0^3 - 18131/3367*c_1001_0^2 + 4058/3367*c_1001_0 + 13177/3367, c_1001_0^12 - c_1001_0^11 - 6*c_1001_0^10 + 4*c_1001_0^9 + 15*c_1001_0^8 - 3*c_1001_0^7 - 25*c_1001_0^6 - 3*c_1001_0^5 + 35*c_1001_0^4 + 3*c_1001_0^3 - 36*c_1001_0^2 - 2*c_1001_0 + 21 ], 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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 569448765037/9221456608*c_1001_0^13 - 103290759433/2305364152*c_1001_0^12 - 71654268187/103611872*c_1001_0^11 + 231946668535/542438624*c_1001_0^10 + 27279109345517/9221456608*c_1001_0^9 - 6218248712293/4610728304*c_1001_0^8 - 180985271613/30840992*c_1001_0^7 + 70362321039/57276128*c_1001_0^6 + 24075210976927/4610728304*c_1001_0^5 + 831344826835/1317350944*c_1001_0^4 - 1313185105377/658675472*c_1001_0^3 - 248867516087/4610728304*c_1001_0^2 + 697624837219/1152682076*c_1001_0 + 2100281363681/9221456608, c_0011_0 - 1, c_0011_10 - 1/8*c_1001_0^13 + 1/2*c_1001_0^12 + 7/8*c_1001_0^11 - 41/8*c_1001_0^10 - 7/8*c_1001_0^9 + 19*c_1001_0^8 - 41/8*c_1001_0^7 - 233/8*c_1001_0^6 + 35/4*c_1001_0^5 + 123/8*c_1001_0^4 + 17/4*c_1001_0^3 - 21/4*c_1001_0^2 - 3/4*c_1001_0 + 5/8, c_0011_3 - 1/8*c_1001_0^13 + 3/8*c_1001_0^12 + c_1001_0^11 - 31/8*c_1001_0^10 - 2*c_1001_0^9 + 29/2*c_1001_0^8 - 15/8*c_1001_0^7 - 45/2*c_1001_0^6 + 25/4*c_1001_0^5 + 97/8*c_1001_0^4 + 19/8*c_1001_0^3 - 33/8*c_1001_0^2 + 3/8*c_1001_0 + 1/2, c_0011_4 - 1/8*c_1001_0^13 + 1/8*c_1001_0^12 + 5/4*c_1001_0^11 - 9/8*c_1001_0^10 - 9/2*c_1001_0^9 + 13/4*c_1001_0^8 + 53/8*c_1001_0^7 - 5/2*c_1001_0^6 - 13/4*c_1001_0^5 - 7/8*c_1001_0^4 + 9/8*c_1001_0^3 - 15/8*c_1001_0^2 - 1/8*c_1001_0 - 1, c_0011_5 + 1/8*c_1001_0^12 - 1/8*c_1001_0^11 - 5/4*c_1001_0^10 + 9/8*c_1001_0^9 + 9/2*c_1001_0^8 - 13/4*c_1001_0^7 - 53/8*c_1001_0^6 + 5/2*c_1001_0^5 + 13/4*c_1001_0^4 + 7/8*c_1001_0^3 - 9/8*c_1001_0^2 + 23/8*c_1001_0 + 1/8, c_0101_0 + 1/8*c_1001_0^12 - 1/8*c_1001_0^11 - 5/4*c_1001_0^10 + 9/8*c_1001_0^9 + 9/2*c_1001_0^8 - 13/4*c_1001_0^7 - 53/8*c_1001_0^6 + 5/2*c_1001_0^5 + 13/4*c_1001_0^4 + 7/8*c_1001_0^3 - 9/8*c_1001_0^2 + 15/8*c_1001_0 + 1/8, c_0101_1 - 1, c_0101_10 - 3/8*c_1001_0^13 + 1/2*c_1001_0^12 + 31/8*c_1001_0^11 - 39/8*c_1001_0^10 - 117/8*c_1001_0^9 + 65/4*c_1001_0^8 + 187/8*c_1001_0^7 - 149/8*c_1001_0^6 - 55/4*c_1001_0^5 + 9/8*c_1001_0^4 + 17/4*c_1001_0^3 - 9/2*c_1001_0^2 - 3/4*c_1001_0 + 9/8, c_0101_5 - 1/8*c_1001_0^13 + 1/8*c_1001_0^12 + 5/4*c_1001_0^11 - 9/8*c_1001_0^10 - 9/2*c_1001_0^9 + 13/4*c_1001_0^8 + 53/8*c_1001_0^7 - 5/2*c_1001_0^6 - 13/4*c_1001_0^5 - 7/8*c_1001_0^4 + 9/8*c_1001_0^3 - 23/8*c_1001_0^2 - 1/8*c_1001_0 + 1, c_0101_7 - 1/8*c_1001_0^13 + 15/8*c_1001_0^11 - 3/8*c_1001_0^10 - 85/8*c_1001_0^9 + 15/4*c_1001_0^8 + 223/8*c_1001_0^7 - 107/8*c_1001_0^6 - 127/4*c_1001_0^5 + 151/8*c_1001_0^4 + 41/4*c_1001_0^3 - 29/4*c_1001_0^2 - 5/2*c_1001_0 + 11/8, c_1001_0^14 - c_1001_0^13 - 11*c_1001_0^12 + 10*c_1001_0^11 + 46*c_1001_0^10 - 35*c_1001_0^9 - 89*c_1001_0^8 + 46*c_1001_0^7 + 79*c_1001_0^6 - 13*c_1001_0^5 - 35*c_1001_0^4 + 8*c_1001_0^3 + 10*c_1001_0^2 + c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.610 Total time: 0.810 seconds, Total memory usage: 32.09MB