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Loading file "K12n404__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n404 geometric_solution 8.56204214 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 2 0132 0132 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214391194554 1.255242412424 0 4 4 5 0132 0132 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 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 0.396629435907 0.401140818435 6 0 0 5 0132 0132 1230 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593381433449 0.579830056161 5 7 7 0 0132 0132 1023 0132 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 0 0 0 0 0 0 0 -5 5 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892451116199 0.522792384482 8 1 1 9 0132 0132 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 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 0.396629435907 0.401140818435 3 9 1 2 0132 3120 0132 1023 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 0 0 0 0 0 0 0 -4 4 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.286019231229 0.344279761316 2 8 9 7 0132 0132 1302 2103 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 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.009298736106 2.106434210009 8 3 3 6 2310 0132 1023 2103 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 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892451116199 0.522792384482 4 6 7 9 0132 0132 3201 2103 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.214391194554 1.255242412424 6 5 4 8 2031 3120 0132 2103 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 5 -1 -4 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563476181531 0.949961821345 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_1']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_7']), 's_2_8' : d['1'], 's_2_9' : negation(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' : negation(d['1']), 's_0_9' : 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_9' : negation(d['c_0101_1']), 'c_1100_8' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : negation(d['c_1001_1']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : negation(d['c_0011_3']), '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : negation(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' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0011_3']), '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' : negation(d['c_0011_9']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0101_8']), '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_3, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0101_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 25038061449/5609779*c_1001_1^10 - 393659258061/11219558*c_1001_1^9 - 27328312253/238714*c_1001_1^8 - 10704847263/47141*c_1001_1^7 - 2155532231555/5609779*c_1001_1^6 - 364579788930/801397*c_1001_1^5 - 4101033869855/11219558*c_1001_1^4 - 1445673152086/5609779*c_1001_1^3 - 804577585043/5609779*c_1001_1^2 - 253774468554/5609779*c_1001_1 - 64042631699/11219558, c_0011_0 - 1, c_0011_3 - 640221/2773*c_1001_1^10 - 9041609/5546*c_1001_1^9 - 551051/118*c_1001_1^8 - 139188857/16638*c_1001_1^7 - 235397395/16638*c_1001_1^6 - 76851143/5546*c_1001_1^5 - 58759757/5546*c_1001_1^4 - 120983449/16638*c_1001_1^3 - 18668237/5546*c_1001_1^2 - 2300273/2773*c_1001_1 - 1383493/16638, c_0011_9 + 564374/2773*c_1001_1^10 + 3968310/2773*c_1001_1^9 + 1443185/354*c_1001_1^8 + 120996023/16638*c_1001_1^7 + 34123303/2773*c_1001_1^6 + 33084351/2773*c_1001_1^5 + 151823849/16638*c_1001_1^4 + 17321680/2773*c_1001_1^3 + 15869073/5546*c_1001_1^2 + 5801506/8319*c_1001_1 + 385341/5546, c_0101_0 - 998312/2773*c_1001_1^10 - 7023349/2773*c_1001_1^9 - 2556929/354*c_1001_1^8 - 214673041/16638*c_1001_1^7 - 181702859/8319*c_1001_1^6 - 117719651/5546*c_1001_1^5 - 135514288/8319*c_1001_1^4 - 185447629/16638*c_1001_1^3 - 28493251/5546*c_1001_1^2 - 21154205/16638*c_1001_1 - 1070243/8319, c_0101_1 - 863226/2773*c_1001_1^10 - 6074960/2773*c_1001_1^9 - 737517/118*c_1001_1^8 - 92906930/8319*c_1001_1^7 - 157267027/8319*c_1001_1^6 - 101963789/5546*c_1001_1^5 - 78236875/5546*c_1001_1^4 - 80320801/8319*c_1001_1^3 - 24687727/5546*c_1001_1^2 - 3056072/2773*c_1001_1 - 930769/8319, c_0101_2 + 640221/2773*c_1001_1^10 + 9041609/5546*c_1001_1^9 + 551051/118*c_1001_1^8 + 139188857/16638*c_1001_1^7 + 235397395/16638*c_1001_1^6 + 76851143/5546*c_1001_1^5 + 58759757/5546*c_1001_1^4 + 120983449/16638*c_1001_1^3 + 18668237/5546*c_1001_1^2 + 2300273/2773*c_1001_1 + 1383493/16638, c_0101_3 - 482510/2773*c_1001_1^10 - 3438355/2773*c_1001_1^9 - 636601/177*c_1001_1^8 - 54204680/8319*c_1001_1^7 - 91702232/8319*c_1001_1^6 - 61284057/5546*c_1001_1^5 - 141787925/16638*c_1001_1^4 - 97575751/16638*c_1001_1^3 - 7763098/2773*c_1001_1^2 - 12045659/16638*c_1001_1 - 1271353/16638, c_0101_7 - 482510/2773*c_1001_1^10 - 3438355/2773*c_1001_1^9 - 636601/177*c_1001_1^8 - 54204680/8319*c_1001_1^7 - 91702232/8319*c_1001_1^6 - 61284057/5546*c_1001_1^5 - 141787925/16638*c_1001_1^4 - 97575751/16638*c_1001_1^3 - 7763098/2773*c_1001_1^2 - 12045659/16638*c_1001_1 - 1271353/16638, c_0101_8 + 998312/2773*c_1001_1^10 + 7023349/2773*c_1001_1^9 + 2556929/354*c_1001_1^8 + 214673041/16638*c_1001_1^7 + 181702859/8319*c_1001_1^6 + 117719651/5546*c_1001_1^5 + 135514288/8319*c_1001_1^4 + 185447629/16638*c_1001_1^3 + 28493251/5546*c_1001_1^2 + 21154205/16638*c_1001_1 + 1070243/8319, c_1001_1^11 + 15/2*c_1001_1^10 + 70/3*c_1001_1^9 + 271/6*c_1001_1^8 + 232/3*c_1001_1^7 + 523/6*c_1001_1^6 + 218/3*c_1001_1^5 + 52*c_1001_1^4 + 86/3*c_1001_1^3 + 61/6*c_1001_1^2 + 2*c_1001_1 + 1/6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB