Magma V2.19-8 Tue Aug 20 2013 17:56:16 on localhost [Seed = 4305969] Type ? for help. Type -D to quit. Loading file "10^2_171__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_171 geometric_solution 11.20211794 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 2031 0132 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 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 0 0 0.463173791318 0.671336057688 0 3 5 4 0132 2103 0132 0132 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577510406341 0.510044803314 3 0 6 0 3012 0132 0132 1302 0 0 0 1 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 1 -1 0 -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 0.726545878521 0.908592833075 6 1 0 2 1023 2103 0132 1230 0 0 1 1 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 -1 1 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 -0.297672022719 1.320268756249 6 7 1 8 2031 0132 0132 0132 1 0 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 0 0 0 0 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 0 0 0 0.842227294524 0.987475454585 8 6 7 1 0132 2031 0132 0132 1 0 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 0 0 0 0 1 -1 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 0.842227294524 0.987475454585 5 3 4 2 1302 1023 1302 0132 0 0 1 1 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 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.027209945815 0.859147309562 9 4 10 5 0132 0132 0132 0132 1 0 0 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 0 0 0 0 -1 1 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 0.422489593659 0.510044803314 5 10 4 11 0132 0132 0132 0132 1 0 0 1 0 0 -1 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 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.422489593659 0.510044803314 7 10 11 11 0132 1023 2103 3201 0 0 1 0 0 1 0 -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 1 0 -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 0.273454121479 0.908592833075 9 8 11 7 1023 0132 0132 0132 1 0 1 0 0 0 -1 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 -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 1.297672022719 1.320268756249 9 9 8 10 2103 2310 0132 0132 1 0 0 0 0 0 -1 1 1 0 0 -1 0 -1 0 1 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 1 -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 0.273454121479 0.908592833075 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_7']), 'c_1001_10' : negation(d['c_0101_7']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0110_2']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_11'], '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_2_11' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1100_1'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_0101_0'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : negation(d['c_0110_2']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_7']), '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' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : 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_0110_11' : d['c_0011_11'], 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_10']), 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], '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_11'], 'c_0101_8' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_7'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_0110_2, c_1001_7, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 15324142/650485*c_1100_1^13 - 12026671/650485*c_1100_1^12 + 66020118/650485*c_1100_1^11 + 80001134/650485*c_1100_1^10 - 72181046/650485*c_1100_1^9 - 212626954/650485*c_1100_1^8 + 84552612/650485*c_1100_1^7 + 382309666/650485*c_1100_1^6 - 225794693/650485*c_1100_1^5 - 561872334/650485*c_1100_1^4 + 12987802/130097*c_1100_1^3 + 291467117/650485*c_1100_1^2 + 79804067/650485*c_1100_1 - 638602/130097, c_0011_0 - 1, c_0011_10 - c_1100_1, c_0011_11 + 1134817/130097*c_1100_1^13 + 539773/130097*c_1100_1^12 - 4776124/130097*c_1100_1^11 - 4236855/130097*c_1100_1^10 + 5496532/130097*c_1100_1^9 + 12715988/130097*c_1100_1^8 - 8990926/130097*c_1100_1^7 - 22070695/130097*c_1100_1^6 + 21841113/130097*c_1100_1^5 + 28553513/130097*c_1100_1^4 - 9165526/130097*c_1100_1^3 - 9859337/130097*c_1100_1^2 - 4333558/130097*c_1100_1 - 2044819/130097, c_0011_3 - 1433918/130097*c_1100_1^13 - 644460/130097*c_1100_1^12 + 6108620/130097*c_1100_1^11 + 5243674/130097*c_1100_1^10 - 7259304/130097*c_1100_1^9 - 16130399/130097*c_1100_1^8 + 11817189/130097*c_1100_1^7 + 28089213/130097*c_1100_1^6 - 28530961/130097*c_1100_1^5 - 36166437/130097*c_1100_1^4 + 13102448/130097*c_1100_1^3 + 13207737/130097*c_1100_1^2 + 5419082/130097*c_1100_1 + 2579331/130097, c_0101_0 - 1, c_0101_1 + 993488/130097*c_1100_1^13 + 444638/130097*c_1100_1^12 - 4237426/130097*c_1100_1^11 - 3627501/130097*c_1100_1^10 + 5047046/130097*c_1100_1^9 + 11177578/130097*c_1100_1^8 - 8219887/130097*c_1100_1^7 - 19454951/130097*c_1100_1^6 + 19826591/130097*c_1100_1^5 + 25044849/130097*c_1100_1^4 - 9131692/130097*c_1100_1^3 - 9145303/130097*c_1100_1^2 - 3793932/130097*c_1100_1 - 1863156/130097, c_0101_11 + 921720/130097*c_1100_1^13 + 505132/130097*c_1100_1^12 - 3818170/130097*c_1100_1^11 - 3655229/130097*c_1100_1^10 + 4134063/130097*c_1100_1^9 + 10362436/130097*c_1100_1^8 - 6663268/130097*c_1100_1^7 - 18070968/130097*c_1100_1^6 + 16735410/130097*c_1100_1^5 + 23742000/130097*c_1100_1^4 - 6020570/130097*c_1100_1^3 - 7294006/130097*c_1100_1^2 - 3216040/130097*c_1100_1 - 1635783/130097, c_0101_2 + 993488/130097*c_1100_1^13 + 444638/130097*c_1100_1^12 - 4237426/130097*c_1100_1^11 - 3627501/130097*c_1100_1^10 + 5047046/130097*c_1100_1^9 + 11177578/130097*c_1100_1^8 - 8219887/130097*c_1100_1^7 - 19454951/130097*c_1100_1^6 + 19826591/130097*c_1100_1^5 + 25044849/130097*c_1100_1^4 - 9131692/130097*c_1100_1^3 - 9145303/130097*c_1100_1^2 - 3793932/130097*c_1100_1 - 1863156/130097, c_0101_7 + 1081060/130097*c_1100_1^13 + 477557/130097*c_1100_1^12 - 4591544/130097*c_1100_1^11 - 3924268/130097*c_1100_1^10 + 5437451/130097*c_1100_1^9 + 12089967/130097*c_1100_1^8 - 8936212/130097*c_1100_1^7 - 20950092/130097*c_1100_1^6 + 21473284/130097*c_1100_1^5 + 26994703/130097*c_1100_1^4 - 9766038/130097*c_1100_1^3 - 9723751/130097*c_1100_1^2 - 4154544/130097*c_1100_1 - 1958766/130097, c_0110_2 - 1505686/130097*c_1100_1^13 - 583966/130097*c_1100_1^12 + 6527876/130097*c_1100_1^11 + 5215946/130097*c_1100_1^10 - 8172287/130097*c_1100_1^9 - 16945541/130097*c_1100_1^8 + 13373808/130097*c_1100_1^7 + 29473196/130097*c_1100_1^6 - 31622142/130097*c_1100_1^5 - 37469286/130097*c_1100_1^4 + 16213570/130097*c_1100_1^3 + 15059034/130097*c_1100_1^2 + 6257168/130097*c_1100_1 + 2936801/130097, c_1001_7 - 1433918/130097*c_1100_1^13 - 644460/130097*c_1100_1^12 + 6108620/130097*c_1100_1^11 + 5243674/130097*c_1100_1^10 - 7259304/130097*c_1100_1^9 - 16130399/130097*c_1100_1^8 + 11817189/130097*c_1100_1^7 + 28089213/130097*c_1100_1^6 - 28530961/130097*c_1100_1^5 - 36166437/130097*c_1100_1^4 + 13102448/130097*c_1100_1^3 + 13077640/130097*c_1100_1^2 + 5549179/130097*c_1100_1 + 2579331/130097, c_1100_1^14 + c_1100_1^13 - 4*c_1100_1^12 - 6*c_1100_1^11 + 3*c_1100_1^10 + 14*c_1100_1^9 - 2*c_1100_1^8 - 24*c_1100_1^7 + 9*c_1100_1^6 + 36*c_1100_1^5 + 5*c_1100_1^4 - 14*c_1100_1^3 - 9*c_1100_1^2 - 4*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB