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Loading file "K14n282__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n282 geometric_solution 9.06684374 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680615240975 0.367711167359 0 5 6 2 0132 0132 0132 1230 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 0 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 0 0 0 0 1.346375857535 1.550097255079 1 0 8 7 3012 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 0.890405453355 0.226819501822 6 5 8 0 0321 0213 1302 0132 0 0 0 0 0 0 0 0 0 0 1 -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 0 4 -4 -1 1 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.443888413470 0.766485414363 5 9 0 6 0321 0132 0132 0321 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 1 -1 3 0 0 -3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330795178301 0.781945787928 4 1 3 7 0321 0132 0213 0321 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 -1 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459686022132 0.286824646107 3 4 10 1 0321 0321 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 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 -1 0 -3 0 -1 4 1 -1 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541113340341 1.084733134564 10 5 2 9 2031 0321 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 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 1.146019555402 0.971960581608 3 9 10 2 2031 0321 3012 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 0 1 -1 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 0 1.146019555402 0.971960581608 10 4 7 8 0213 0132 0132 0321 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 3 0 1 -4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530508654360 0.511420260912 9 8 7 6 0213 1230 1302 0132 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 -1 1 0 0 -1 1 -3 0 0 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.974103391138 1.061097749890 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_4']), '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_2_10' : 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_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_0101_8'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_0101_7'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_0101_8'], 'c_1100_3' : d['c_0101_8'], 'c_1100_2' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_7'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_10']), '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_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' : d['c_0011_4'], '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_0110_10' : d['c_0011_8'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_8'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : negation(d['c_0011_0']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_8, c_0101_2, c_0101_7, c_0101_8, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 977269315/504323631*c_1001_2^11 + 68397851/37357306*c_1001_2^10 - 3942885017/504323631*c_1001_2^9 - 12643499/504323631*c_1001_2^8 + 38662394983/1008647262*c_1001_2^7 + 8735107438/504323631*c_1001_2^6 - 2250608165/168107877*c_1001_2^5 - 1126152220/56035959*c_1001_2^4 + 3216554267/504323631*c_1001_2^3 + 8707017880/504323631*c_1001_2^2 - 20421802111/1008647262*c_1001_2 - 2697674947/168107877, c_0011_0 - 1, c_0011_10 - 34607/2287182*c_1001_2^11 + 35215/381197*c_1001_2^10 + 4687/120378*c_1001_2^9 - 1113095/2287182*c_1001_2^8 + 11755/60189*c_1001_2^7 + 3863911/2287182*c_1001_2^6 - 23201/20063*c_1001_2^5 - 183118/381197*c_1001_2^4 - 1051628/1143591*c_1001_2^3 + 444985/2287182*c_1001_2^2 + 974060/1143591*c_1001_2 - 539995/762394, c_0011_3 + 217112/1143591*c_1001_2^11 + 90297/762394*c_1001_2^10 - 1725617/2287182*c_1001_2^9 + 359483/1143591*c_1001_2^8 + 7859627/2287182*c_1001_2^7 + 891865/2287182*c_1001_2^6 - 96783/381197*c_1001_2^5 - 327062/381197*c_1001_2^4 - 552965/1143591*c_1001_2^3 + 584792/1143591*c_1001_2^2 - 3337511/2287182*c_1001_2 - 1154973/762394, c_0011_4 - 169607/2287182*c_1001_2^11 - 65633/762394*c_1001_2^10 + 358160/1143591*c_1001_2^9 + 127039/2287182*c_1001_2^8 - 3685723/2287182*c_1001_2^7 - 928354/1143591*c_1001_2^6 + 338260/381197*c_1001_2^5 + 4124/20063*c_1001_2^4 - 335969/1143591*c_1001_2^3 - 1253681/2287182*c_1001_2^2 - 261119/2287182*c_1001_2 + 284190/381197, c_0011_8 - 169607/2287182*c_1001_2^11 - 65633/762394*c_1001_2^10 + 358160/1143591*c_1001_2^9 + 127039/2287182*c_1001_2^8 - 3685723/2287182*c_1001_2^7 - 928354/1143591*c_1001_2^6 + 338260/381197*c_1001_2^5 + 4124/20063*c_1001_2^4 - 335969/1143591*c_1001_2^3 - 1253681/2287182*c_1001_2^2 - 261119/2287182*c_1001_2 + 284190/381197, c_0101_2 + 95363/2287182*c_1001_2^11 + 1142/381197*c_1001_2^10 - 376225/2287182*c_1001_2^9 + 278795/2287182*c_1001_2^8 + 753431/1143591*c_1001_2^7 - 256123/2287182*c_1001_2^6 + 14992/381197*c_1001_2^5 - 15307/20063*c_1001_2^4 + 119918/1143591*c_1001_2^3 - 101683/2287182*c_1001_2^2 + 682942/1143591*c_1001_2 + 78405/762394, c_0101_7 + c_1001_2, c_0101_8 - 461/1143591*c_1001_2^11 + 77825/762394*c_1001_2^10 + 3640/60189*c_1001_2^9 - 496790/1143591*c_1001_2^8 + 17575/120378*c_1001_2^7 + 2178715/1143591*c_1001_2^6 + 5181/20063*c_1001_2^5 - 202345/381197*c_1001_2^4 - 1193980/1143591*c_1001_2^3 - 120635/1143591*c_1001_2^2 + 2264435/2287182*c_1001_2 - 294355/381197, c_1001_0 - 95363/2287182*c_1001_2^11 - 1142/381197*c_1001_2^10 + 376225/2287182*c_1001_2^9 - 278795/2287182*c_1001_2^8 - 753431/1143591*c_1001_2^7 + 256123/2287182*c_1001_2^6 - 14992/381197*c_1001_2^5 + 15307/20063*c_1001_2^4 - 119918/1143591*c_1001_2^3 + 101683/2287182*c_1001_2^2 - 682942/1143591*c_1001_2 - 78405/762394, c_1001_1 + 461/1143591*c_1001_2^11 - 77825/762394*c_1001_2^10 - 3640/60189*c_1001_2^9 + 496790/1143591*c_1001_2^8 - 17575/120378*c_1001_2^7 - 2178715/1143591*c_1001_2^6 - 5181/20063*c_1001_2^5 + 202345/381197*c_1001_2^4 + 1193980/1143591*c_1001_2^3 + 120635/1143591*c_1001_2^2 - 2264435/2287182*c_1001_2 + 294355/381197, c_1001_2^12 - 5*c_1001_2^10 + 4*c_1001_2^9 + 20*c_1001_2^8 - 11*c_1001_2^7 - 15*c_1001_2^6 + 8*c_1001_2^4 + 7*c_1001_2^3 - 14*c_1001_2^2 - 3*c_1001_2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.370 seconds, Total memory usage: 32.09MB