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Loading file "K12n581__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n581 geometric_solution 8.37238107 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 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 -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 0.450814457709 0.950213655137 0 5 7 6 0132 0132 0132 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 0.019137035839 0.485071021012 7 0 8 4 1230 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1.765710871234 1.084334646804 6 6 5 0 0132 2103 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 0.526101736683 0.176773042199 9 2 0 6 0132 0321 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.659588677678 0.757375219080 9 1 3 8 1230 0132 3120 2310 0 0 0 0 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 0 0 0 0 0 0 0 12 0 -1 -11 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424507474064 0.518844954191 3 3 1 4 0132 2103 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.101548800383 1.868982050075 8 2 9 1 2031 3012 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 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 -0.041471603548 0.864177377697 5 9 7 2 3201 1302 1302 0132 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 1 0 -1 0 0 1 -1 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.734523600539 0.467593730612 4 5 7 8 0132 3012 3120 2031 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 -1 0 1 0 0 -1 1 -12 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.565454204494 0.615366817153 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : negation(d['c_0011_0']), 'c_1001_8' : d['c_0101_1'], 's_2_8' : d['1'], 's_2_9' : negation(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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_8' : d['c_0101_7'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : d['c_0101_7'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_8']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), '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_9'], 'c_0101_8' : d['c_0011_4'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], '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_4']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_8'])})} 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_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 54060491/643072*c_1001_0^7 + 85900035/1286144*c_1001_0^6 + 376228439/1286144*c_1001_0^5 + 295292071/321536*c_1001_0^4 + 1830808541/1286144*c_1001_0^3 + 5401211/5024*c_1001_0^2 - 120569313/643072*c_1001_0 - 76093855/1286144, c_0011_0 - 1, c_0011_3 + 181/314*c_1001_0^7 - 265/628*c_1001_0^6 + 370/157*c_1001_0^5 + 439/157*c_1001_0^4 + 3035/628*c_1001_0^3 - 1105/628*c_1001_0^2 - 683/628*c_1001_0 + 138/157, c_0011_4 - 3/314*c_1001_0^7 - 65/628*c_1001_0^6 - 7/157*c_1001_0^5 - 149/314*c_1001_0^4 - 399/628*c_1001_0^3 - 1059/628*c_1001_0^2 + 105/628*c_1001_0 + 201/314, c_0011_8 - 173/628*c_1001_0^7 + 543/1256*c_1001_0^6 - 1667/1256*c_1001_0^5 - 31/314*c_1001_0^4 - 1971/1256*c_1001_0^3 + 2043/628*c_1001_0^2 - 17/314*c_1001_0 - 525/1256, c_0101_0 - 541/628*c_1001_0^7 + 943/1256*c_1001_0^6 - 4683/1256*c_1001_0^5 - 529/157*c_1001_0^4 - 8839/1256*c_1001_0^3 + 2089/628*c_1001_0^2 + 63/314*c_1001_0 - 825/1256, c_0101_1 + 109/157*c_1001_0^7 - 49/157*c_1001_0^6 + 1773/628*c_1001_0^5 + 599/157*c_1001_0^4 + 2251/314*c_1001_0^3 - 761/628*c_1001_0^2 - 565/628*c_1001_0 + 147/628, c_0101_2 - 173/628*c_1001_0^7 + 543/1256*c_1001_0^6 - 1667/1256*c_1001_0^5 - 31/314*c_1001_0^4 - 1971/1256*c_1001_0^3 + 2043/628*c_1001_0^2 - 17/314*c_1001_0 - 1781/1256, c_0101_7 - 109/157*c_1001_0^7 + 49/157*c_1001_0^6 - 1773/628*c_1001_0^5 - 599/157*c_1001_0^4 - 2251/314*c_1001_0^3 + 761/628*c_1001_0^2 + 1193/628*c_1001_0 - 147/628, c_0101_9 - c_1001_0, c_1001_0^8 - 1/2*c_1001_0^7 + 4*c_1001_0^6 + 11/2*c_1001_0^5 + 19/2*c_1001_0^4 - 3/2*c_1001_0^3 - 3*c_1001_0^2 + 1/2*c_1001_0 + 1/2 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_0101_9, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 100344480079679/6885373513984*c_1001_0^9 + 83085129801553/3442686756992*c_1001_0^8 - 78074772559071/983624787712*c_1001_0^7 - 1113963564389009/6885373513984*c_1001_0^6 + 582442530131765/3442686756992*c_1001_0^5 + 705302011192367/1721343378496*c_1001_0^4 - 47122303927943/237426672896*c_1001_0^3 - 3055617390599423/6885373513984*c_1001_0^2 + 114974940036193/983624787712*c_1001_0 + 312690670959507/1721343378496, c_0011_0 - 1, c_0011_3 - 2540801791/3709791764*c_1001_0^9 - 1979025473/1854895882*c_1001_0^8 + 2116171247/529970252*c_1001_0^7 + 28321123633/3709791764*c_1001_0^6 - 16899467769/1854895882*c_1001_0^5 - 18951431626/927447941*c_1001_0^4 + 39862388327/3709791764*c_1001_0^3 + 84647722879/3709791764*c_1001_0^2 - 3137746681/529970252*c_1001_0 - 9156718390/927447941, c_0011_4 + 980600500/927447941*c_1001_0^9 + 1354676377/927447941*c_1001_0^8 - 828224898/132492563*c_1001_0^7 - 9983073890/927447941*c_1001_0^6 + 13613043761/927447941*c_1001_0^5 + 26556731917/927447941*c_1001_0^4 - 16866804279/927447941*c_1001_0^3 - 29830691488/927447941*c_1001_0^2 + 1286419221/132492563*c_1001_0 + 13182463093/927447941, c_0011_8 + 5682501143/7419583528*c_1001_0^9 + 3676550971/3709791764*c_1001_0^8 - 4846503759/1059940504*c_1001_0^7 - 54961913029/7419583528*c_1001_0^6 + 38887628491/3709791764*c_1001_0^5 + 35155205651/1854895882*c_1001_0^4 - 95126595243/7419583528*c_1001_0^3 - 141650890459/7419583528*c_1001_0^2 + 6954195389/1059940504*c_1001_0 + 7111231144/927447941, c_0101_0 - 8904924897/7419583528*c_1001_0^9 - 8848797689/3709791764*c_1001_0^8 + 5461405801/1059940504*c_1001_0^7 + 99960345643/7419583528*c_1001_0^6 - 31460520241/3709791764*c_1001_0^5 - 56380660775/1854895882*c_1001_0^4 + 59343655989/7419583528*c_1001_0^3 + 226809163821/7419583528*c_1001_0^2 - 3387869067/1059940504*c_1001_0 - 11313241344/927447941, c_0101_1 + 2372460365/1854895882*c_1001_0^9 + 2025371412/927447941*c_1001_0^8 - 1674760419/264985126*c_1001_0^7 - 25556606671/1854895882*c_1001_0^6 + 11079737381/927447941*c_1001_0^5 + 29943901266/927447941*c_1001_0^4 - 23535742017/1854895882*c_1001_0^3 - 59859752201/1854895882*c_1001_0^2 + 1674423475/264985126*c_1001_0 + 12028368379/927447941, c_0101_2 + 2162302857/7419583528*c_1001_0^9 + 1742154537/3709791764*c_1001_0^8 - 1779295425/1059940504*c_1001_0^7 - 24902678091/7419583528*c_1001_0^6 + 15564546553/3709791764*c_1001_0^5 + 17958258183/1854895882*c_1001_0^4 - 39807838989/7419583528*c_1001_0^3 - 96994641445/7419583528*c_1001_0^2 + 3337158379/1059940504*c_1001_0 + 6071231949/927447941, c_0101_7 + 2372460365/1854895882*c_1001_0^9 + 2025371412/927447941*c_1001_0^8 - 1674760419/264985126*c_1001_0^7 - 25556606671/1854895882*c_1001_0^6 + 11079737381/927447941*c_1001_0^5 + 29943901266/927447941*c_1001_0^4 - 23535742017/1854895882*c_1001_0^3 - 59859752201/1854895882*c_1001_0^2 + 1674423475/264985126*c_1001_0 + 12028368379/927447941, c_0101_9 - 202119775/1059940504*c_1001_0^9 + 85066889/529970252*c_1001_0^8 + 297543151/151420072*c_1001_0^7 + 451919533/1059940504*c_1001_0^6 - 3582622671/529970252*c_1001_0^5 - 958219863/264985126*c_1001_0^4 + 11230578843/1059940504*c_1001_0^3 + 5064325211/1059940504*c_1001_0^2 - 799753869/151420072*c_1001_0 - 371987024/132492563, c_1001_0^10 + 30/11*c_1001_0^9 - 37/11*c_1001_0^8 - 177/11*c_1001_0^7 - 10/11*c_1001_0^6 + 404/11*c_1001_0^5 + 169/11*c_1001_0^4 - 431/11*c_1001_0^3 - 241/11*c_1001_0^2 + 192/11*c_1001_0 + 128/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB