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Loading file "K12n251__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n251 geometric_solution 7.22351627 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 3 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858808644331 1.693773612852 0 4 5 2 0132 0132 0132 1302 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 -1 0 1 0 0 0 0 0 0 0 0 -1 -10 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.958342105009 1.141868209368 5 0 1 6 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.106786328478 0.546270888291 0 6 5 0 3201 2031 3120 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 1 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 0 0.273589129623 0.406065158325 5 1 7 6 1023 0132 0132 2031 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 1 0 -1 0 0 0 0 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.043681290111 0.870241780903 2 4 3 1 0132 1023 3120 0132 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 0 0 0 -1 0 1 0 0 11 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378319740285 0.622358044941 3 4 2 7 1302 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.942466237580 1.146218065969 7 6 7 4 2031 1302 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631100819980 1.007265332105 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : 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_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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_6' : 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_1100_6' : negation(d['c_1001_4']), 'c_1100_5' : d['c_0101_1'], 'c_1100_4' : negation(d['c_0011_7']), 'c_1100_7' : negation(d['c_0011_7']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_6'], 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_4'], 'c_1010_7' : d['c_1001_4'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_4, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 502760908423/124811558254368*c_1001_4^13 + 1611700385959/13867950917152*c_1001_4^12 + 94075644073261/124811558254368*c_1001_4^11 + 120655736695355/62405779127184*c_1001_4^10 - 42202541226847/124811558254368*c_1001_4^9 - 164931168981553/13867950917152*c_1001_4^8 - 2247919762670431/124811558254368*c_1001_4^7 + 2079371150097055/124811558254368*c_1001_4^6 + 3819574564636495/62405779127184*c_1001_4^5 + 258445923120745/13867950917152*c_1001_4^4 - 4855890413483221/62405779127184*c_1001_4^3 - 7895223999145147/124811558254368*c_1001_4^2 + 1013971938371231/31202889563592*c_1001_4 + 21731468059393/447353255392, c_0011_0 - 1, c_0011_3 + 1, c_0011_6 + 58440485/6578724344*c_1001_4^13 + 291723973/6578724344*c_1001_4^12 + 637646031/6578724344*c_1001_4^11 - 99973235/3289362172*c_1001_4^10 - 2692887753/6578724344*c_1001_4^9 - 952225423/6578724344*c_1001_4^8 + 7824628749/6578724344*c_1001_4^7 + 2610130411/6578724344*c_1001_4^6 - 5306938409/1644681086*c_1001_4^5 - 13886237975/6578724344*c_1001_4^4 + 14011739875/3289362172*c_1001_4^3 + 28261280305/6578724344*c_1001_4^2 - 5809343909/3289362172*c_1001_4 - 16572288925/6578724344, c_0011_7 + 798868199/39472346064*c_1001_4^13 + 1717392859/13157448688*c_1001_4^12 + 13990122463/39472346064*c_1001_4^11 + 2087927471/19736173032*c_1001_4^10 - 68564765545/39472346064*c_1001_4^9 - 45273181721/13157448688*c_1001_4^8 + 31072939331/39472346064*c_1001_4^7 + 345136556305/39472346064*c_1001_4^6 + 112591177585/19736173032*c_1001_4^5 - 100956878287/13157448688*c_1001_4^4 - 183805749655/19736173032*c_1001_4^3 + 58862842187/39472346064*c_1001_4^2 + 41171015837/9868086516*c_1001_4 + 1716897239/13157448688, c_0101_0 - 1720670/2467021629*c_1001_4^13 - 7464981/822340543*c_1001_4^12 - 46005085/2467021629*c_1001_4^11 + 57087734/2467021629*c_1001_4^10 + 592526743/2467021629*c_1001_4^9 + 221962992/822340543*c_1001_4^8 - 1734494132/2467021629*c_1001_4^7 - 3626972893/2467021629*c_1001_4^6 + 1218671929/2467021629*c_1001_4^5 + 2400181488/822340543*c_1001_4^4 + 2616831197/2467021629*c_1001_4^3 - 5802493556/2467021629*c_1001_4^2 - 5524523009/2467021629*c_1001_4 + 526777055/822340543, c_0101_1 - 554198789/39472346064*c_1001_4^13 - 597222147/13157448688*c_1001_4^12 - 820192921/39472346064*c_1001_4^11 + 3675871013/9868086516*c_1001_4^10 + 28065649489/39472346064*c_1001_4^9 - 13078679761/13157448688*c_1001_4^8 - 138531947519/39472346064*c_1001_4^7 + 10005966773/39472346064*c_1001_4^6 + 36184766981/4934043258*c_1001_4^5 + 46209649663/13157448688*c_1001_4^4 - 138743674061/19736173032*c_1001_4^3 - 228244339697/39472346064*c_1001_4^2 + 48992913155/19736173032*c_1001_4 + 33843472997/13157448688, c_0101_4 - 332169731/39472346064*c_1001_4^13 - 701507543/13157448688*c_1001_4^12 - 6045928495/39472346064*c_1001_4^11 - 1852673861/19736173032*c_1001_4^10 + 22230566197/39472346064*c_1001_4^9 + 17244858977/13157448688*c_1001_4^8 + 4805579149/39472346064*c_1001_4^7 - 113001403717/39472346064*c_1001_4^6 - 55758867373/19736173032*c_1001_4^5 + 24036567367/13157448688*c_1001_4^4 + 77475946171/19736173032*c_1001_4^3 - 3782872847/39472346064*c_1001_4^2 - 23171411627/9868086516*c_1001_4 + 1291188313/13157448688, c_1001_4^14 + 6*c_1001_4^13 + 14*c_1001_4^12 - 7*c_1001_4^11 - 101*c_1001_4^10 - 138*c_1001_4^9 + 178*c_1001_4^8 + 566*c_1001_4^7 + 103*c_1001_4^6 - 885*c_1001_4^5 - 667*c_1001_4^4 + 583*c_1001_4^3 + 751*c_1001_4^2 - 93*c_1001_4 - 279 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB