Magma V2.19-8 Tue Aug 20 2013 23:46:34 on localhost [Seed = 2851062707] Type ? for help. Type -D to quit. Loading file "K14n2016__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2016 geometric_solution 11.22098134 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 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 0 1 -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 0.922732570337 1.263004945461 0 3 6 5 0132 3120 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 0.415057316900 0.437414612101 6 0 8 7 0132 0132 0132 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 -10 0 10 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 0.445259754188 0.520242807735 5 1 9 0 0132 3120 0132 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 10 0 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415472769660 0.490421541121 8 10 0 9 0132 0132 0132 2310 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 0 0 0 -11 1 10 0 0 0 0 0 11 0 -11 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784585936417 0.923639272410 3 10 1 11 0132 3012 0132 0132 0 0 0 0 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 -11 0 11 0 0 0 0 -10 10 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.930989892665 1.134270858902 2 7 8 1 0132 2103 0321 0132 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 0 0 0 10 0 -10 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 0.696305659181 0.726050412493 9 6 2 9 2103 2103 0132 0321 0 0 0 0 0 0 0 0 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 0 0 0 11 0 0 -11 0 0 0 0 11 -10 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303702226205 1.304435287630 4 10 6 2 0132 0321 0321 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 10 -10 0 0 0 0 0 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580947160209 0.435626753405 4 7 7 3 3201 0321 2103 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 11 0 -11 0 -10 0 0 10 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108297460618 0.855386777136 5 4 11 8 1230 0132 0132 0321 0 0 0 0 0 1 -1 0 -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 11 -11 0 -10 0 0 10 1 -1 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.930989892665 1.134270858902 11 11 5 10 1230 3012 0132 0132 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 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329099288241 0.858781484464 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_11']), 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_10']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_1001_8'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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_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_1100_5' : d['c_1001_8'], 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_1001_8'], 'c_1100_0' : d['c_0011_9'], 'c_1100_3' : d['c_0011_9'], 'c_1100_2' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_9'], 'c_1100_11' : d['c_1001_8'], 'c_1100_10' : d['c_1001_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_10']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_1']), 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_7'], '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' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_11'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : negation(d['c_0101_6']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_1'], '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_0101_6'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_1, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 59006/7889*c_1001_8^11 - 481274/7889*c_1001_8^10 - 1976034/7889*c_1001_8^9 - 5328922/7889*c_1001_8^8 - 451540/343*c_1001_8^7 - 15093667/7889*c_1001_8^6 - 16311114/7889*c_1001_8^5 - 1800754/1127*c_1001_8^4 - 6120543/7889*c_1001_8^3 - 937786/7889*c_1001_8^2 + 813580/7889*c_1001_8 + 386777/7889, c_0011_0 - 1, c_0011_10 + c_1001_8^2 + c_1001_8 + 1, c_0011_11 - c_1001_8^8 - 5*c_1001_8^7 - 14*c_1001_8^6 - 25*c_1001_8^5 - 31*c_1001_8^4 - 25*c_1001_8^3 - 12*c_1001_8^2 - c_1001_8 + 1, c_0011_7 + c_1001_8^11 + 7*c_1001_8^10 + 27*c_1001_8^9 + 70*c_1001_8^8 + 134*c_1001_8^7 + 193*c_1001_8^6 + 211*c_1001_8^5 + 167*c_1001_8^4 + 88*c_1001_8^3 + 18*c_1001_8^2 - 8*c_1001_8 - 8, c_0011_9 + c_1001_8^11 + 7*c_1001_8^10 + 27*c_1001_8^9 + 70*c_1001_8^8 + 134*c_1001_8^7 + 193*c_1001_8^6 + 211*c_1001_8^5 + 167*c_1001_8^4 + 88*c_1001_8^3 + 18*c_1001_8^2 - 9*c_1001_8 - 8, c_0101_0 + c_1001_8^11 + 8*c_1001_8^10 + 32*c_1001_8^9 + 84*c_1001_8^8 + 159*c_1001_8^7 + 224*c_1001_8^6 + 234*c_1001_8^5 + 174*c_1001_8^4 + 80*c_1001_8^3 + 10*c_1001_8^2 - 12*c_1001_8 - 6, c_0101_1 - c_1001_8^11 - 7*c_1001_8^10 - 27*c_1001_8^9 - 70*c_1001_8^8 - 134*c_1001_8^7 - 193*c_1001_8^6 - 211*c_1001_8^5 - 167*c_1001_8^4 - 88*c_1001_8^3 - 18*c_1001_8^2 + 8*c_1001_8 + 7, c_0101_11 + c_1001_8^3 + 2*c_1001_8^2 + 3*c_1001_8 + 1, c_0101_6 + c_1001_8^10 + 7*c_1001_8^9 + 25*c_1001_8^8 + 59*c_1001_8^7 + 100*c_1001_8^6 + 124*c_1001_8^5 + 110*c_1001_8^4 + 64*c_1001_8^3 + 16*c_1001_8^2 - 6*c_1001_8 - 6, c_1001_1 - 2*c_1001_8^11 - 15*c_1001_8^10 - 61*c_1001_8^9 - 166*c_1001_8^8 - 331*c_1001_8^7 - 496*c_1001_8^6 - 562*c_1001_8^5 - 463*c_1001_8^4 - 254*c_1001_8^3 - 60*c_1001_8^2 + 22*c_1001_8 + 21, c_1001_2 + c_1001_8^11 + 8*c_1001_8^10 + 32*c_1001_8^9 + 84*c_1001_8^8 + 159*c_1001_8^7 + 224*c_1001_8^6 + 234*c_1001_8^5 + 174*c_1001_8^4 + 80*c_1001_8^3 + 10*c_1001_8^2 - 12*c_1001_8 - 6, c_1001_8^12 + 8*c_1001_8^11 + 34*c_1001_8^10 + 97*c_1001_8^9 + 204*c_1001_8^8 + 327*c_1001_8^7 + 404*c_1001_8^6 + 378*c_1001_8^5 + 255*c_1001_8^4 + 106*c_1001_8^3 + 10*c_1001_8^2 - 16*c_1001_8 - 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB