Magma V2.19-8 Tue Aug 20 2013 23:53:12 on localhost [Seed = 660688077] Type ? for help. Type -D to quit. Loading file "K12n358__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n358 geometric_solution 12.63581387 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 -1 1 0 0 0 0 0 5 -1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345996543857 0.942963908060 0 5 7 6 0132 0132 0132 0132 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.659683393771 1.024229190382 8 0 6 9 0132 0132 1302 0132 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 1 -1 0 4 0 0 -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 0.606686847409 0.831518810671 5 8 6 0 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 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 0.485464122285 0.756116389497 10 5 0 7 0132 1302 0132 0132 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 -1 0 0 1 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538903995791 1.325487729344 3 1 9 4 0132 0132 2031 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307927840672 0.659712711833 2 11 1 3 2031 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 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 0.562255846176 0.649621111162 10 12 4 1 3120 0132 0132 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 0 1 0 5 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.385027596501 0.631726019302 2 3 12 10 0132 0132 0321 3201 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 -1 0 1 -4 0 0 4 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665015896802 1.015197252847 11 12 2 5 3201 0321 0132 1302 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 -5 0 4 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 0.775745824955 0.505732497230 4 8 11 7 0132 2310 3120 3120 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 -1 1 4 -4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444057943729 0.523052543289 12 6 10 9 0132 0132 3120 2310 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 0 1 0 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.681960248173 0.581505783630 11 7 8 9 0132 0132 0321 0321 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 1 0 -1 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854612544063 1.107974601151 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : negation(d['c_0011_10']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : negation(d['c_0011_9']), '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_12' : 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' : negation(d['c_0011_10']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : negation(d['c_1001_7']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_1001_10']), 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_1001_7'], 'c_1010_8' : negation(d['c_1001_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'], 'c_1100_12' : d['c_1001_0'], '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' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_11'], 'c_0110_6' : d['c_0101_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], '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_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_12']), 'c_0101_8' : negation(d['c_0101_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_9, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0110_9, c_1001_0, c_1001_10, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 83931951922526/64901977903*c_1100_0^10 + 1826494876951128/324509889515*c_1100_0^9 - 9895745198776907/649019779030*c_1100_0^8 + 17146477310030451/649019779030*c_1100_0^7 - 1406665514460184/64901977903*c_1100_0^6 + 19932373110431473/649019779030*c_1100_0^5 - 2287892923817782/46358555645*c_1100_0^4 + 10556602808785863/649019779030*c_1100_0^3 - 13545094013678461/649019779030*c_1100_0^2 + 2334626867442379/129803955806*c_1100_0 - 2003216852964989/324509889515, c_0011_0 - 1, c_0011_10 + 3675902800/9271711129*c_1100_0^10 - 14999998940/9271711129*c_1100_0^9 + 36419282836/9271711129*c_1100_0^8 - 50549511799/9271711129*c_1100_0^7 + 4000885567/9271711129*c_1100_0^6 - 3691392055/9271711129*c_1100_0^5 + 58424044541/9271711129*c_1100_0^4 + 30620322920/9271711129*c_1100_0^3 - 12356843624/9271711129*c_1100_0^2 + 750914392/9271711129*c_1100_0 + 4519353367/9271711129, c_0011_11 + 1956014040/9271711129*c_1100_0^10 - 8376129220/9271711129*c_1100_0^9 + 20404196210/9271711129*c_1100_0^8 - 28718121583/9271711129*c_1100_0^7 + 3039843512/9271711129*c_1100_0^6 + 2483641019/9271711129*c_1100_0^5 + 36786834346/9271711129*c_1100_0^4 + 6431479872/9271711129*c_1100_0^3 - 11528376334/9271711129*c_1100_0^2 - 12370291619/9271711129*c_1100_0 + 4997884394/9271711129, c_0011_9 + 781194000/9271711129*c_1100_0^10 - 4546231320/9271711129*c_1100_0^9 + 14960003248/9271711129*c_1100_0^8 - 32995822606/9271711129*c_1100_0^7 + 44315750953/9271711129*c_1100_0^6 - 47124344116/9271711129*c_1100_0^5 + 49753512073/9271711129*c_1100_0^4 - 33909038753/9271711129*c_1100_0^3 + 28834358914/9271711129*c_1100_0^2 - 11871778598/9271711129*c_1100_0 - 5189380176/9271711129, c_0101_0 - 667650828/9271711129*c_1100_0^10 + 3480329204/9271711129*c_1100_0^9 - 9759978527/9271711129*c_1100_0^8 + 16293007796/9271711129*c_1100_0^7 - 9097081876/9271711129*c_1100_0^6 - 3865620698/9271711129*c_1100_0^5 - 3144630285/9271711129*c_1100_0^4 + 6444259832/9271711129*c_1100_0^3 + 8575129829/9271711129*c_1100_0^2 - 16467576500/9271711129*c_1100_0 - 606392779/9271711129, c_0101_1 + 3008251972/9271711129*c_1100_0^10 - 11519669736/9271711129*c_1100_0^9 + 26659304309/9271711129*c_1100_0^8 - 34256504003/9271711129*c_1100_0^7 - 5096196309/9271711129*c_1100_0^6 - 7557012753/9271711129*c_1100_0^5 + 55279414256/9271711129*c_1100_0^4 + 37064582752/9271711129*c_1100_0^3 - 3781713795/9271711129*c_1100_0^2 - 15716662108/9271711129*c_1100_0 + 3912960588/9271711129, c_0101_12 + 2552171900/9271711129*c_1100_0^10 - 9383390140/9271711129*c_1100_0^9 + 20214258147/9271711129*c_1100_0^8 - 20981435206/9271711129*c_1100_0^7 - 20385461280/9271711129*c_1100_0^6 + 11382404183/9271711129*c_1100_0^5 + 40515360288/9271711129*c_1100_0^4 + 33513878711/9271711129*c_1100_0^3 - 17583049903/9271711129*c_1100_0^2 - 18845527637/9271711129*c_1100_0 + 10831274719/9271711129, c_0101_3 - 2813042068/9271711129*c_1100_0^10 + 12940326464/9271711129*c_1100_0^9 - 36838857501/9271711129*c_1100_0^8 + 65783717109/9271711129*c_1100_0^7 - 56120788666/9271711129*c_1100_0^6 + 54495049016/9271711129*c_1100_0^5 - 68296098299/9271711129*c_1100_0^4 + 18276610985/9271711129*c_1100_0^3 - 30386076630/9271711129*c_1100_0^2 - 8053721526/9271711129*c_1100_0 + 4869771077/9271711129, c_0110_9 + 3533779312/9271711129*c_1100_0^10 - 15199191780/9271711129*c_1100_0^9 + 38156691840/9271711129*c_1100_0^8 - 55704093677/9271711129*c_1100_0^7 + 13456681246/9271711129*c_1100_0^6 - 933465895/9271711129*c_1100_0^5 + 55568175005/9271711129*c_1100_0^4 + 17678882984/9271711129*c_1100_0^3 - 26594262180/9271711129*c_1100_0^2 - 3210437463/9271711129*c_1100_0 + 46099338/9271711129, c_1001_0 - 2358959272/9271711129*c_1100_0^10 + 11369293880/9271711129*c_1100_0^9 - 32712498878/9271711129*c_1100_0^8 + 59981794700/9271711129*c_1100_0^7 - 54732588687/9271711129*c_1100_0^6 + 50541451030/9271711129*c_1100_0^5 - 68534852732/9271711129*c_1100_0^4 + 22661635641/9271711129*c_1100_0^3 - 13768473068/9271711129*c_1100_0^2 + 2711924442/9271711129*c_1100_0 + 10141165232/9271711129, c_1001_10 - 198427240/9271711129*c_1100_0^10 - 425225644/9271711129*c_1100_0^9 + 2065742246/9271711129*c_1100_0^8 - 5021620081/9271711129*c_1100_0^7 + 6197202363/9271711129*c_1100_0^6 + 14252815440/9271711129*c_1100_0^5 - 3176677476/9271711129*c_1100_0^4 - 21320127484/9271711129*c_1100_0^3 - 32010207728/9271711129*c_1100_0^2 - 7686994240/9271711129*c_1100_0 + 4663678510/9271711129, c_1001_7 - 1118516288/9271711129*c_1100_0^10 + 4055930704/9271711129*c_1100_0^9 - 5772526204/9271711129*c_1100_0^8 - 4410662820/9271711129*c_1100_0^7 + 44534500757/9271711129*c_1100_0^6 - 61102874415/9271711129*c_1100_0^5 + 13287485667/9271711129*c_1100_0^4 - 31961831077/9271711129*c_1100_0^3 + 58135524420/9271711129*c_1100_0^2 + 4224155406/9271711129*c_1100_0 - 10052485980/9271711129, c_1100_0^11 - 4*c_1100_0^10 + 41/4*c_1100_0^9 - 65/4*c_1100_0^8 + 19/2*c_1100_0^7 - 71/4*c_1100_0^6 + 119/4*c_1100_0^5 + c_1100_0^4 + 23/2*c_1100_0^3 - 33/4*c_1100_0^2 - 1/4*c_1100_0 + 7/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.900 Total time: 4.110 seconds, Total memory usage: 119.84MB