Magma V2.19-8 Fri Sep 13 2013 00:58:44 on localhost [Seed = 3669627689] Type ? for help. Type -D to quit. Loading file "m125__sl3_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation m125 geometric_solution 3.66386238 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 4 1 2 2 3 0132 0132 2031 0132 0 0 1 0 0 1 0 -1 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 -1 1 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 0.500000000000 0.500000000000 0 3 2 3 0132 2103 2103 1023 0 0 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 0 0 0 0 0 0 0 0 0 0 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 1.000000000000 1.000000000000 1 0 3 0 2103 0132 2103 1302 0 0 0 1 0 -1 0 1 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 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 1.000000000000 1.000000000000 2 1 0 1 2103 2103 0132 1023 0 0 0 1 0 0 1 -1 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 1 -1 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 1.000000000000 1.000000000000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1020_2' : d['c_0210_2'] * d['u'] ** 1, 'c_1020_3' : d['c_0102_0'], 'c_1020_0' : d['c_0012_1'], 'c_1020_1' : d['c_0120_3'] * d['u'] ** 1, 'c_0201_0' : d['c_0120_3'] * d['u'] ** 1, 'c_0201_1' : d['c_0201_1'], 'c_0201_2' : d['c_0201_1'], 'c_0201_3' : d['c_0201_1'], 'c_2100_0' : d['c_0210_2'] * d['u'] ** 2, 'c_2100_1' : d['c_0120_2'] * d['u'] ** 2, 'c_2100_2' : d['c_0120_3'], 'c_2100_3' : d['c_0210_2'] * d['u'] ** 1, 'c_2010_2' : d['c_0120_2'] * d['u'] ** 2, 'c_2010_3' : d['c_0120_3'] * d['u'] ** 1, 'c_2010_0' : d['c_0012_0'] * d['u'] ** 2, 'c_2010_1' : d['c_0102_0'], 'c_0102_0' : d['c_0102_0'], 'c_0102_1' : d['c_0102_1'], 'c_0102_2' : d['c_0102_1'], 'c_0102_3' : d['c_0102_1'], 'c_1101_0' : d['c_1101_0'], 'c_1101_1' : negation(d['c_0111_2']) * d['u'] ** 1, 'c_1101_2' : negation(d['c_0111_3']), 'c_1101_3' : d['c_1101_3'], 'c_1200_2' : d['c_0102_0'] * d['u'] ** 1, 'c_1200_3' : d['c_0120_2'] * d['u'] ** 2, 'c_1200_0' : d['c_0120_2'] * d['u'] ** 1, 'c_1200_1' : d['c_0210_2'] * d['u'] ** 1, 'c_1110_2' : d['c_1101_0'], 'c_1110_3' : negation(d['c_1110_1']) * d['u'] ** 1, 'c_1110_0' : d['c_1101_3'] * d['u'] ** 1, 'c_1110_1' : d['c_1110_1'], 'c_0120_0' : d['c_0102_1'] * d['u'] ** 1, 'c_0120_1' : d['c_0102_0'] * d['u'] ** 1, 'c_0120_2' : d['c_0120_2'], 'c_0120_3' : d['c_0120_3'], 'c_2001_0' : d['c_0120_2'] * d['u'] ** 2, 'c_2001_1' : d['c_0012_0'] * d['u'] ** 2, 'c_2001_2' : d['c_0012_0'] * d['u'] ** 2, 'c_2001_3' : d['c_0012_0'] * d['u'] ** 2, 'c_0012_2' : d['c_0012_1'] * d['u'] ** 2, 'c_0012_3' : d['c_0012_1'], 'c_0012_0' : d['c_0012_0'], 'c_0012_1' : d['c_0012_1'], 'c_0111_0' : d['c_0111_0'], 'c_0111_1' : negation(d['c_0111_0']), 'c_0111_2' : d['c_0111_2'], 'c_0111_3' : d['c_0111_3'], 'c_0210_2' : d['c_0210_2'], 'c_0210_3' : d['c_0102_0'] * d['u'] ** 1, 'c_0210_0' : d['c_0201_1'] * d['u'] ** 2, 'c_0210_1' : d['c_0120_3'], 'c_1002_2' : d['c_0012_1'], 'c_1002_3' : d['c_0012_1'], 'c_1002_0' : d['c_0210_2'] * d['u'] ** 1, 'c_1002_1' : d['c_0012_1'], 'c_1011_2' : negation(d['c_1011_0']), 'c_1011_3' : negation(d['c_1011_1']), 'c_1011_0' : d['c_1011_0'], 'c_1011_1' : d['c_1011_1'], 'c_0021_0' : d['c_0012_1'] * d['u'] ** 2, 'c_0021_1' : d['c_0012_0'] * d['u'] ** 2, 'c_0021_2' : d['c_0012_0'], 'c_0021_3' : d['c_0012_0'] * d['u'] ** 2}), 'non_trivial_generalized_obstruction_class' : True} PY=EVAL=SECTION=ENDS=HERE PRIMARY_DECOMPOSITION_TIME: 68.910 PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0120_3, c_0201_1, c_0210_2, c_1011_0, c_1011_1, c_1101_0, c_1101_3, c_1110_1, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 5033/4*c_1110_1*u + 2967/4*c_1110_1 + 9367/28*u + 31621/28, c_0012_0 - 1, c_0012_1 - u, c_0102_0 - 1, c_0102_1 + u, c_0111_0 - 1, c_0111_2 + 1/2*c_1110_1*u - c_1110_1 + 1/2*u, c_0111_3 - 2*c_1110_1*u + 1/2*c_1110_1 - u - 3/2, c_0120_2 - c_1110_1*u + 1/2*c_1110_1 - 1/2, c_0120_3 + 5/2*c_1110_1*u + 1/2*c_1110_1 + 1/2*u + 3/2, c_0201_1 - u - 1, c_0210_2 - c_1110_1*u + 1/2*c_1110_1 - 1/2, c_1011_0 + c_1110_1*u + 3/2*c_1110_1 - u - 1/2, c_1011_1 - 3/2*c_1110_1*u - 1/2*c_1110_1 - 1/2*u - 3/2, c_1101_0 - 1/2*c_1110_1*u + 1/2*c_1110_1 - 1/2*u - 1/2, c_1101_3 + 1/2*c_1110_1*u - c_1110_1 + 1/2*u, c_1110_1^2 - 8/7*c_1110_1*u - 2/7*c_1110_1 - 1/7, u^2 + u + 1 ], Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0012_0, c_0012_1, c_0102_0, c_0102_1, c_0111_0, c_0111_2, c_0111_3, c_0120_2, c_0120_3, c_0201_1, c_0210_2, c_1011_0, c_1011_1, c_1101_0, c_1101_3, c_1110_1, u Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 11341028268447/24716425804*c_1110_1^6*u - 54621892347735/49432851608*c_1110_1^6 - 228411980022115/49432851608*c_1110_1^5*u - 127695552109619/49432851608*c_1110_1^5 - 182688998630927/49432851608*c_1110_1^4*u + 1622315424000/882729493*c_1110_1^4 - 30398599160683/24716425804*c_1110_1^3*u + 53716920127733/24716425804*c_1110_1^3 + 105601262215055/49432851608*c_1110_1^2*u + 160224199560323/49432851608*c_1110_1^2 - 3081848836209/24716425804*c_1110_1*u - 41138747281431/24716425804*c_1110_1 - 23388684028445/49432851608*u - 2249235233571/49432851608, c_0012_0 - 1, c_0012_1 - u, c_0102_0 - 1, c_0102_1 - 45036041/46459447*c_1110_1^6*u + 34942076/46459447*c_1110_1^6 + 244077941/46459447*c_1110_1^5*u + 254487360/46459447*c_1110_1^5 + 372312328/46459447*c_1110_1^4*u - 23023860/46459447*c_1110_1^4 + 208666652/46459447*c_1110_1^3*u - 174291838/46459447*c_1110_1^3 + 41396288/46459447*c_1110_1^2*u - 219619996/46459447*c_1110_1^2 - 86901255/46459447*c_1110_1*u - 24649231/46459447*c_1110_1 + 32554218/46459447*u + 17077755/46459447, c_0111_0 - 1, c_0111_2 - 416358327/185837788*c_1110_1^6*u - 420555897/185837788*c_1110_1^6 - 452388743/185837788*c_1110_1^5*u + 197829587/46459447*c_1110_1^5 + 164831432/46459447*c_1110_1^4*u + 1800401363/185837788*c_1110_1^4 + 468254913/92918894*c_1110_1^3*u + 292643692/46459447*c_1110_1^3 + 1022183863/185837788*c_1110_1^2*u + 25044726/46459447*c_1110_1^2 - 91185701/92918894*c_1110_1*u - 102663004/46459447*c_1110_1 - 266922463/185837788*u - 71623995/92918894, c_0111_3 - 265608651/185837788*c_1110_1^6*u + 176643549/92918894*c_1110_1^6 + 386652301/46459447*c_1110_1^5*u + 1303752665/185837788*c_1110_1^5 + 2313889097/185837788*c_1110_1^4*u + 220100585/185837788*c_1110_1^4 + 378120436/46459447*c_1110_1^3*u - 183648979/92918894*c_1110_1^3 - 86860879/46459447*c_1110_1^2*u - 1263889177/185837788*c_1110_1^2 - 48116938/46459447*c_1110_1*u + 135634031/92918894*c_1110_1 + 65356993/92918894*u + 248726603/185837788, c_0120_2 + 18582211/185837788*c_1110_1^6*u + 380000563/92918894*c_1110_1^6 + 572339287/46459447*c_1110_1^5*u + 950283091/185837788*c_1110_1^5 + 2278095511/185837788*c_1110_1^4*u - 1209359605/185837788*c_1110_1^4 + 251748360/46459447*c_1110_1^3*u - 918034601/92918894*c_1110_1^3 - 269253537/46459447*c_1110_1^2*u - 1883435103/185837788*c_1110_1^2 - 66644370/46459447*c_1110_1*u - 1816291/92918894*c_1110_1 + 78599735/92918894*u + 234898049/185837788, c_0120_3 - 177001067/92918894*c_1110_1^6*u - 366735191/185837788*c_1110_1^6 - 594673499/185837788*c_1110_1^5*u + 445916889/185837788*c_1110_1^5 + 246259821/185837788*c_1110_1^4*u + 432392460/46459447*c_1110_1^4 + 319034309/92918894*c_1110_1^3*u + 815550703/92918894*c_1110_1^3 + 721576375/185837788*c_1110_1^2*u + 808609099/185837788*c_1110_1^2 + 21039941/92918894*c_1110_1*u - 21863981/92918894*c_1110_1 - 208057329/185837788*u - 15115131/185837788, c_0201_1 + 79978117/46459447*c_1110_1^6*u + 45036041/46459447*c_1110_1^6 + 10409419/46459447*c_1110_1^5*u - 244077941/46459447*c_1110_1^5 - 395336188/46459447*c_1110_1^4*u - 372312328/46459447*c_1110_1^4 - 382958490/46459447*c_1110_1^3*u - 208666652/46459447*c_1110_1^3 - 261016284/46459447*c_1110_1^2*u - 41396288/46459447*c_1110_1^2 + 62252024/46459447*c_1110_1*u + 86901255/46459447*c_1110_1 - 15476463/46459447*u - 32554218/46459447, c_0210_2 - 55167447/185837788*c_1110_1^6*u - 108404187/46459447*c_1110_1^6 - 475272861/92918894*c_1110_1^5*u - 301841769/185837788*c_1110_1^5 - 1194977305/185837788*c_1110_1^4*u + 250407613/185837788*c_1110_1^4 - 292895599/46459447*c_1110_1^3*u - 9086477/92918894*c_1110_1^3 - 9825387/92918894*c_1110_1^2*u + 326294941/185837788*c_1110_1^2 - 68995903/46459447*c_1110_1*u - 121857819/92918894*c_1110_1 - 23354107/46459447*u - 191601703/185837788, c_1011_0 - 367685741/185837788*c_1110_1^6*u + 47547722/46459447*c_1110_1^6 + 517655137/92918894*c_1110_1^5*u + 1109928681/185837788*c_1110_1^5 + 1835278841/185837788*c_1110_1^4*u + 1131080583/185837788*c_1110_1^4 + 442938830/46459447*c_1110_1^3*u + 465647339/92918894*c_1110_1^3 + 235393007/92918894*c_1110_1^2*u - 233561617/185837788*c_1110_1^2 + 41787366/46459447*c_1110_1*u + 111750155/92918894*c_1110_1 - 2867893/46459447*u + 96250323/185837788, c_1011_1 + 177001067/92918894*c_1110_1^6*u + 366735191/185837788*c_1110_1^6 + 594673499/185837788*c_1110_1^5*u - 445916889/185837788*c_1110_1^5 - 246259821/185837788*c_1110_1^4*u - 432392460/46459447*c_1110_1^4 - 319034309/92918894*c_1110_1^3*u - 815550703/92918894*c_1110_1^3 - 721576375/185837788*c_1110_1^2*u - 808609099/185837788*c_1110_1^2 + 71878953/92918894*c_1110_1*u + 21863981/92918894*c_1110_1 + 208057329/185837788*u + 15115131/185837788, c_1101_0 + 2690890/46459447*c_1110_1^6*u + 135023441/185837788*c_1110_1^6 + 386606321/185837788*c_1110_1^5*u + 159382959/185837788*c_1110_1^5 + 389893923/185837788*c_1110_1^4*u - 31948361/92918894*c_1110_1^4 + 309172939/92918894*c_1110_1^3*u - 120143859/92918894*c_1110_1^3 + 124840299/185837788*c_1110_1^2*u - 253212391/185837788*c_1110_1^2 + 67440745/92918894*c_1110_1*u - 26241651/92918894*c_1110_1 + 86713703/185837788*u + 2833895/185837788, c_1101_3 + 261411081/185837788*c_1110_1^6*u + 63071229/185837788*c_1110_1^6 - 302902113/185837788*c_1110_1^5*u - 425681961/92918894*c_1110_1^5 - 586406731/92918894*c_1110_1^4*u - 879426313/185837788*c_1110_1^4 - 639208401/92918894*c_1110_1^3*u - 142302967/46459447*c_1110_1^3 - 574561443/185837788*c_1110_1^2*u + 120852657/92918894*c_1110_1^2 - 17906431/92918894*c_1110_1*u - 22224165/46459447*c_1110_1 - 7039513/185837788*u - 41910482/46459447, c_1110_1^7 + 181/57*c_1110_1^6*u + 80/57*c_1110_1^6 + 60/19*c_1110_1^5*u - 33/19*c_1110_1^5 + 65/57*c_1110_1^4*u - 164/57*c_1110_1^4 - 33/19*c_1110_1^3*u - 55/19*c_1110_1^3 - 1/3*c_1110_1^2*u + 1/3*c_1110_1^2 + 25/57*c_1110_1*u + 29/57*c_1110_1 + 7/57*u - 1/57, u^2 + u + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE FREE=VARIABLES=IN=COMPONENTS=BEGINS=HERE [ [ ], [ ] ] FREE=VARIABLES=IN=COMPONENTS=ENDS=HERE CPUTIME: 68.910 Total time: 69.120 seconds, Total memory usage: 138.50MB