Magma V2.19-8 Tue Aug 20 2013 23:56:32 on localhost [Seed = 1360476506] Type ? for help. Type -D to quit. Loading file "L14n23756__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23756 geometric_solution 11.05171422 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 1230 0 1 1 1 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 -1 1 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 0.078074465062 0.905070168724 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 1 -1 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 0.413878726512 0.512419842209 0 0 8 7 3012 0132 0132 0132 0 0 1 1 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 1 0 -1 0 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552349321029 0.542250837224 9 4 10 0 0132 1230 0132 0132 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 1 0 -1 -1 0 0 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 0.413038380972 0.737223588155 6 1 3 5 0321 0132 3012 2031 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 -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 0.607223498337 0.890794900946 9 4 1 11 2103 1302 0132 0132 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 -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 1.446211326154 1.777056613544 4 9 7 1 0321 0132 2310 0132 0 1 1 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 1 0 -1 0 0 0 0 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.205917438097 1.693961951267 10 6 2 8 2031 3201 0132 1302 0 0 0 1 0 -1 1 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 -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 0.605650688402 0.623068784303 9 11 7 2 3012 3012 2031 0132 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 0 0 0 -1 0 0 1 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.003328823417 0.672566212816 3 6 5 8 0132 0132 2103 1230 0 1 0 1 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 -1 0 1 1 0 0 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687675921497 0.460973092142 11 11 7 3 3120 0132 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336361596518 1.002441838582 8 10 5 10 1230 0132 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.159841464897 0.512916471081 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0101_11']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), '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_2_10' : d['1'], 's_2_11' : 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' : negation(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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_1001_11']), 'c_1100_7' : d['c_0101_8'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_7'], 'c_1100_3' : d['c_0101_7'], 'c_1100_2' : d['c_0101_8'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_11']), 'c_1100_11' : d['c_0011_7'], 'c_1100_10' : d['c_0101_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_11']), 'c_1010_9' : d['c_0101_8'], 'c_1010_8' : negation(d['c_0101_11']), 'c_1100_8' : 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' : d['1'], 's_3_4' : negation(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' : negation(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_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_3'], '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_11' : d['c_0011_8'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0011_0'])})} 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_3, c_0011_5, c_0011_7, c_0011_8, c_0101_0, c_0101_11, c_0101_4, c_0101_7, c_0101_8, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1153430795876110155/85837355086336*c_1001_11^8 - 819041840605669655/1532809912256*c_1001_11^7 + 173781909897413881611/21459338771584*c_1001_11^6 - 144533469292012769489/10729669385792*c_1001_11^5 + 643070724483061924275/85837355086336*c_1001_11^4 + 129754260363108936333/42918677543168*c_1001_11^3 - 779925267497320970675/85837355086336*c_1001_11^2 + 17350136538532849913/3065619824512*c_1001_11 - 78487973330664810509/85837355086336, c_0011_0 - 1, c_0011_10 - 395692125/4673200952*c_1001_11^8 + 2217654205/667600136*c_1001_11^7 - 230229603613/4673200952*c_1001_11^6 + 275581332767/4673200952*c_1001_11^5 - 49717140727/2336600476*c_1001_11^4 - 31041845361/1168300238*c_1001_11^3 + 208959489821/4673200952*c_1001_11^2 - 12135920841/667600136*c_1001_11 + 1227508426/584150119, c_0011_3 - 85525/2111704*c_1001_11^8 + 471497/301672*c_1001_11^7 - 47637377/2111704*c_1001_11^6 + 28655639/2111704*c_1001_11^5 + 1263405/1055852*c_1001_11^4 - 3673266/263963*c_1001_11^3 + 25806525/2111704*c_1001_11^2 + 652627/301672*c_1001_11 - 170043/263963, c_0011_5 - 85525/2111704*c_1001_11^8 + 471497/301672*c_1001_11^7 - 47637377/2111704*c_1001_11^6 + 28655639/2111704*c_1001_11^5 + 1263405/1055852*c_1001_11^4 - 3673266/263963*c_1001_11^3 + 25806525/2111704*c_1001_11^2 + 652627/301672*c_1001_11 - 170043/263963, c_0011_7 - 116377039/333800068*c_1001_11^8 + 4638274089/333800068*c_1001_11^7 - 70544957393/333800068*c_1001_11^6 + 122639159297/333800068*c_1001_11^5 - 2502700680/11921431*c_1001_11^4 - 1785705041/23842862*c_1001_11^3 + 11704144679/47685724*c_1001_11^2 - 52759524477/333800068*c_1001_11 + 2162918335/83450017, c_0011_8 - 335725245/667600136*c_1001_11^8 + 13345285715/667600136*c_1001_11^7 - 202140547149/667600136*c_1001_11^6 + 333845276771/667600136*c_1001_11^5 - 92847757963/333800068*c_1001_11^4 - 9424614184/83450017*c_1001_11^3 + 224683512593/667600136*c_1001_11^2 - 139434931723/667600136*c_1001_11 + 2794530609/83450017, c_0101_0 - 2175572883/2336600476*c_1001_11^8 + 12382753087/333800068*c_1001_11^7 - 1317637154879/2336600476*c_1001_11^6 + 2275978782485/2336600476*c_1001_11^5 - 648092234065/1168300238*c_1001_11^4 - 118345589890/584150119*c_1001_11^3 + 1526286504019/2336600476*c_1001_11^2 - 20089390365/47685724*c_1001_11 + 39743156794/584150119, c_0101_11 + 4540412591/4673200952*c_1001_11^8 - 25808929035/667600136*c_1001_11^7 + 2740695825059/4673200952*c_1001_11^6 - 4615372494077/4673200952*c_1001_11^5 + 1293388552865/2336600476*c_1001_11^4 + 126474527548/584150119*c_1001_11^3 - 3109682847863/4673200952*c_1001_11^2 + 279807201559/667600136*c_1001_11 - 39366851635/584150119, c_0101_4 - 1, c_0101_7 + 3593443793/4673200952*c_1001_11^8 - 20371713037/667600136*c_1001_11^7 + 2154249802137/4673200952*c_1001_11^6 - 3435210038691/4673200952*c_1001_11^5 + 919824093397/2336600476*c_1001_11^4 + 213696882769/1168300238*c_1001_11^3 - 2339259642301/4673200952*c_1001_11^2 + 198522544161/667600136*c_1001_11 - 27460465555/584150119, c_0101_8 - 752724299/4673200952*c_1001_11^8 + 4286425455/667600136*c_1001_11^7 - 456454696867/4673200952*c_1001_11^6 + 795443644873/4673200952*c_1001_11^5 - 224446739987/2336600476*c_1001_11^4 - 41388607849/1168300238*c_1001_11^3 + 534992050207/4673200952*c_1001_11^2 - 49245757131/667600136*c_1001_11 + 6814441972/584150119, c_1001_11^9 - 40*c_1001_11^8 + 612*c_1001_11^7 - 1144*c_1001_11^6 + 793*c_1001_11^5 + 94*c_1001_11^4 - 729*c_1001_11^3 + 580*c_1001_11^2 - 167*c_1001_11 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB