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Loading file "K12n244__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n244 geometric_solution 9.40000657 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 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 1 0 -1 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 0.687388104484 0.929574199763 0 2 6 5 0132 0321 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724737630646 0.408648279053 6 0 6 1 2310 0132 3012 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 1 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 0.872135334009 1.031715286927 7 8 8 0 0132 0132 3201 0132 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 17 0 -17 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 0.252669910679 0.659780873281 7 9 0 7 3120 0132 0132 3201 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 -1 -16 0 0 16 -16 0 0 16 -16 17 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327721182261 0.976169029823 7 9 1 6 2103 0321 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0.687388104484 0.929574199763 5 2 2 1 3120 1230 3201 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522132412677 0.565305951659 3 4 5 4 0132 2310 2103 3120 0 0 0 0 0 1 0 -1 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 -16 0 16 -17 0 1 16 0 -16 0 16 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478536315810 0.694849099531 3 3 9 9 2310 0132 0321 1230 0 0 0 0 0 0 0 0 0 0 -1 1 -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 17 -17 17 0 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.493802563263 1.321801183076 8 4 8 5 3012 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 17 -17 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751982557918 0.663888308318 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0011_5']), 'c_1001_8' : d['c_1001_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(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_1001_0'], 'c_1100_8' : negation(d['c_0011_5']), 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_6']), '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' : d['c_1001_0'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(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' : negation(d['c_0011_4']), '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_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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'], 'c_0110_9' : negation(d['c_0011_5']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 131328203/21225575*c_1001_0^19 + 798999097/42451150*c_1001_0^18 + 110445337/8490230*c_1001_0^17 - 2434305711/42451150*c_1001_0^16 - 3066261641/42451150*c_1001_0^15 + 5903850971/42451150*c_1001_0^14 + 1539461003/8490230*c_1001_0^13 - 7696914891/42451150*c_1001_0^12 - 5781740687/21225575*c_1001_0^11 + 5682773339/42451150*c_1001_0^10 + 5550464803/21225575*c_1001_0^9 - 6810092257/42451150*c_1001_0^8 - 719731343/6064450*c_1001_0^7 + 7450199611/42451150*c_1001_0^6 + 2684902497/21225575*c_1001_0^5 - 7955376991/42451150*c_1001_0^4 - 2993924181/42451150*c_1001_0^3 + 221557181/4245115*c_1001_0^2 + 903008868/21225575*c_1001_0 - 564734966/21225575, c_0011_0 - 1, c_0011_3 - c_1001_0^3 + c_1001_0 + 1, c_0011_4 - 3757/17327*c_1001_0^19 + 17893/17327*c_1001_0^18 - 1955/17327*c_1001_0^17 - 64418/17327*c_1001_0^16 - 27198/17327*c_1001_0^15 + 181159/17327*c_1001_0^14 + 136881/17327*c_1001_0^13 - 268755/17327*c_1001_0^12 - 286391/17327*c_1001_0^11 + 148649/17327*c_1001_0^10 + 293839/17327*c_1001_0^9 - 51510/17327*c_1001_0^8 - 59799/17327*c_1001_0^7 + 128546/17327*c_1001_0^6 + 54865/17327*c_1001_0^5 - 179796/17327*c_1001_0^4 - 132452/17327*c_1001_0^3 + 14869/17327*c_1001_0^2 + 62589/17327*c_1001_0 + 25651/17327, c_0011_5 + c_1001_0^3 - c_1001_0 - 1, c_0011_6 - 6776/17327*c_1001_0^19 + 13390/17327*c_1001_0^18 + 30344/17327*c_1001_0^17 - 32116/17327*c_1001_0^16 - 128028/17327*c_1001_0^15 + 25546/17327*c_1001_0^14 + 275800/17327*c_1001_0^13 + 84274/17327*c_1001_0^12 - 311516/17327*c_1001_0^11 - 201271/17327*c_1001_0^10 + 206381/17327*c_1001_0^9 + 66491/17327*c_1001_0^8 - 148584/17327*c_1001_0^7 + 49412/17327*c_1001_0^6 + 245967/17327*c_1001_0^5 + 9454/17327*c_1001_0^4 - 147450/17327*c_1001_0^3 - 65864/17327*c_1001_0^2 + 18113/17327*c_1001_0 + 13122/17327, c_0101_0 - 6776/17327*c_1001_0^19 + 13390/17327*c_1001_0^18 + 30344/17327*c_1001_0^17 - 32116/17327*c_1001_0^16 - 128028/17327*c_1001_0^15 + 25546/17327*c_1001_0^14 + 275800/17327*c_1001_0^13 + 84274/17327*c_1001_0^12 - 311516/17327*c_1001_0^11 - 201271/17327*c_1001_0^10 + 206381/17327*c_1001_0^9 + 66491/17327*c_1001_0^8 - 148584/17327*c_1001_0^7 + 49412/17327*c_1001_0^6 + 245967/17327*c_1001_0^5 + 9454/17327*c_1001_0^4 - 147450/17327*c_1001_0^3 - 65864/17327*c_1001_0^2 + 18113/17327*c_1001_0 + 13122/17327, c_0101_1 - c_1001_0, c_0101_2 + 10259/17327*c_1001_0^19 - 24001/17327*c_1001_0^18 - 40684/17327*c_1001_0^17 + 71894/17327*c_1001_0^16 + 175661/17327*c_1001_0^15 - 109187/17327*c_1001_0^14 - 429309/17327*c_1001_0^13 + 9883/17327*c_1001_0^12 + 562419/17327*c_1001_0^11 + 221011/17327*c_1001_0^10 - 440359/17327*c_1001_0^9 - 155864/17327*c_1001_0^8 + 253517/17327*c_1001_0^7 - 63897/17327*c_1001_0^6 - 334321/17327*c_1001_0^5 + 47318/17327*c_1001_0^4 + 312552/17327*c_1001_0^3 + 91373/17327*c_1001_0^2 - 87063/17327*c_1001_0 - 64417/17327, c_0101_8 + 3388/17327*c_1001_0^19 - 6695/17327*c_1001_0^18 - 15172/17327*c_1001_0^17 + 16058/17327*c_1001_0^16 + 64014/17327*c_1001_0^15 - 12773/17327*c_1001_0^14 - 137900/17327*c_1001_0^13 - 42137/17327*c_1001_0^12 + 155758/17327*c_1001_0^11 + 109299/17327*c_1001_0^10 - 111854/17327*c_1001_0^9 - 59236/17327*c_1001_0^8 + 74292/17327*c_1001_0^7 + 27275/17327*c_1001_0^6 - 96993/17327*c_1001_0^5 - 39381/17327*c_1001_0^4 + 56398/17327*c_1001_0^3 + 32932/17327*c_1001_0^2 - 17720/17327*c_1001_0 - 23888/17327, c_1001_0^20 - 2*c_1001_0^19 - 5*c_1001_0^18 + 6*c_1001_0^17 + 21*c_1001_0^16 - 6*c_1001_0^15 - 50*c_1001_0^14 - 14*c_1001_0^13 + 64*c_1001_0^12 + 46*c_1001_0^11 - 41*c_1001_0^10 - 38*c_1001_0^9 + 16*c_1001_0^8 + 4*c_1001_0^7 - 34*c_1001_0^6 - 4*c_1001_0^5 + 36*c_1001_0^4 + 25*c_1001_0^3 - 6*c_1001_0^2 - 13*c_1001_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB