Magma V2.19-8 Tue Aug 20 2013 17:56:26 on localhost [Seed = 2412657586] Type ? for help. Type -D to quit. Loading file "9^2_20__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_20 geometric_solution 9.12441551 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 0 0 1 2 1302 2031 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.319991999402 1.363588873338 3 4 5 0 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 0 -3 0 3 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 0.345403613978 0.592308939161 6 3 0 5 0132 3201 0132 0132 0 0 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 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.620739119971 1.121221639699 1 7 2 7 0132 0132 2310 1230 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 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 0.260631708919 0.938009645943 5 1 8 6 0321 0132 0132 1302 0 1 1 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 3 -3 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 0.590419425167 0.425350245735 4 9 2 1 0321 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.203225039716 0.786664791615 2 7 4 8 0132 0321 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029972781693 0.822721164473 3 3 9 6 3012 0132 3201 0321 1 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 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 0.518299336682 0.657547507999 9 6 9 4 2103 2310 0132 0132 0 1 0 1 0 0 1 -1 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 -3 3 2 0 -1 -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 0.509791107568 0.735501133815 7 5 8 8 2310 0132 2103 0132 0 1 1 1 0 1 0 -1 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 -2 -1 3 1 0 -2 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627453989082 0.941421356305 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_1001_3']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : negation(d['c_0101_4']), 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_1100_0'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : negation(d['c_0101_2']), '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' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_7']), 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_2'], 'c_0110_6' : d['c_0101_2']})} 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_1, c_0011_2, c_0011_5, c_0011_8, c_0101_2, c_0101_4, c_0101_7, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 115319483071/168440822832*c_1100_0^8 - 3761512298479/505322468496*c_1100_0^7 + 5629682124605/252661234248*c_1100_0^6 - 687840086651/505322468496*c_1100_0^5 - 2029659959717/56146940944*c_1100_0^4 - 13982924262907/505322468496*c_1100_0^3 + 10627845552073/126330617124*c_1100_0^2 + 15635364437471/168440822832*c_1100_0 + 24363882475975/505322468496, c_0011_0 - 1, c_0011_1 - 1, c_0011_2 + 6250542/206422577*c_1100_0^8 - 75602556/206422577*c_1100_0^7 + 288846800/206422577*c_1100_0^6 - 279104871/206422577*c_1100_0^5 - 321962784/206422577*c_1100_0^4 + 425153686/206422577*c_1100_0^3 + 739278058/206422577*c_1100_0^2 - 177894779/206422577*c_1100_0 - 391044094/206422577, c_0011_5 + 19041593/206422577*c_1100_0^8 - 195216683/206422577*c_1100_0^7 + 482082738/206422577*c_1100_0^6 + 448481290/206422577*c_1100_0^5 - 1346145650/206422577*c_1100_0^4 - 1375481266/206422577*c_1100_0^3 + 2644206877/206422577*c_1100_0^2 + 3972605652/206422577*c_1100_0 + 1708878084/206422577, c_0011_8 - 170365/206422577*c_1100_0^8 + 894324/206422577*c_1100_0^7 + 4114108/206422577*c_1100_0^6 - 22894200/206422577*c_1100_0^5 - 8939442/206422577*c_1100_0^4 + 30630768/206422577*c_1100_0^3 + 117577744/206422577*c_1100_0^2 - 243239181/206422577*c_1100_0 - 186799697/206422577, c_0101_2 - 170365/206422577*c_1100_0^8 + 894324/206422577*c_1100_0^7 + 4114108/206422577*c_1100_0^6 - 22894200/206422577*c_1100_0^5 - 8939442/206422577*c_1100_0^4 + 30630768/206422577*c_1100_0^3 + 117577744/206422577*c_1100_0^2 - 36816604/206422577*c_1100_0 - 186799697/206422577, c_0101_4 - 14478314/206422577*c_1100_0^8 + 156119962/206422577*c_1100_0^7 - 450449606/206422577*c_1100_0^6 - 88778522/206422577*c_1100_0^5 + 1026222705/206422577*c_1100_0^4 + 463481784/206422577*c_1100_0^3 - 1928738374/206422577*c_1100_0^2 - 2041203322/206422577*c_1100_0 - 622789915/206422577, c_0101_7 + 8508155/206422577*c_1100_0^8 - 98805741/206422577*c_1100_0^7 + 347843943/206422577*c_1100_0^6 - 246559425/206422577*c_1100_0^5 - 377818170/206422577*c_1100_0^4 + 55519387/206422577*c_1100_0^3 + 1048509916/206422577*c_1100_0^2 + 460113185/206422577*c_1100_0 + 15358095/206422577, c_1001_3 - 2257613/206422577*c_1100_0^8 + 23203185/206422577*c_1100_0^7 - 58997143/206422577*c_1100_0^6 - 32545446/206422577*c_1100_0^5 + 55855386/206422577*c_1100_0^4 + 369634299/206422577*c_1100_0^3 - 309231858/206422577*c_1100_0^2 - 638007964/206422577*c_1100_0 - 406402189/206422577, c_1100_0^9 - 10*c_1100_0^8 + 23*c_1100_0^7 + 27*c_1100_0^6 - 56*c_1100_0^5 - 88*c_1100_0^4 + 93*c_1100_0^3 + 245*c_1100_0^2 + 180*c_1100_0 + 51 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB