Magma V2.19-8 Tue Aug 20 2013 23:45:39 on localhost [Seed = 189624042] Type ? for help. Type -D to quit. Loading file "K13n4147__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n4147 geometric_solution 10.63593010 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 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 0 -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 0.598813114921 0.707285027368 0 5 7 6 0132 0132 0132 0132 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 1 -6 5 0 0 -5 5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.463896660085 0.667301227392 6 0 9 8 3012 0132 0132 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 1 -5 0 0 5 -5 -1 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.007993588797 1.433464372803 10 11 9 0 0132 0132 0321 0132 0 0 0 0 0 0 0 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 0 0 0 -6 0 6 0 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.196091821721 0.582255324614 10 5 0 11 1230 0321 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.117684202833 0.458563605310 8 1 11 4 1023 0132 1023 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 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 0.463896660085 0.667301227392 10 7 1 2 2103 0132 0132 1230 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 -5 5 0 0 -5 5 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.904022855873 1.722623740356 8 6 9 1 3120 0132 1302 0132 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 0 0 0 0 0 -6 6 -5 0 0 5 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.236506878037 0.535008605761 10 5 2 7 3201 1023 0132 3120 0 0 0 0 0 0 0 0 0 0 1 -1 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 -1 1 0 0 -5 5 -1 0 0 1 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598813114921 0.707285027368 7 11 3 2 2031 1302 0321 0132 0 0 0 0 0 0 0 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 0 0 0 6 0 -6 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.161796852261 0.549458747709 3 4 6 8 0132 3012 2103 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 -1 1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342327184678 1.282850833146 4 3 5 9 3012 0132 1023 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 0 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.095296521619 0.575811603229 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_0101_11'], 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : negation(d['c_0101_1']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_1100_9' : d['c_0011_9'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0110_11'], 'c_1100_3' : d['c_0110_11'], 'c_1100_2' : d['c_0011_9'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_2']), 'c_1100_10' : d['c_0011_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_4']), '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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : negation(d['c_0011_9']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], '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' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], '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_0101_3']), 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_0'])})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0110_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 15423770817436666/160448092542317*c_1001_2^11 + 281197738007118007/641792370169268*c_1001_2^10 + 17405276260257781/13952008047158*c_1001_2^9 + 374754258788259192/160448092542317*c_1001_2^8 + 1489013375402875841/641792370169268*c_1001_2^7 + 206811020698583643/320896185084634*c_1001_2^6 - 1657828896875991001/160448092542317*c_1001_2^5 - 11284023235830931587/641792370169268*c_1001_2^4 - 1602837047891780779/320896185084634*c_1001_2^3 + 6955978150740175133/320896185084634*c_1001_2^2 + 1797169580204624874/160448092542317*c_1001_2 + 1002679259380354533/320896185084634, c_0011_0 - 1, c_0011_10 - 3129797503/44433146647*c_1001_2^11 - 6995242127/44433146647*c_1001_2^10 - 25779103064/44433146647*c_1001_2^9 - 21910417576/44433146647*c_1001_2^8 - 45959610048/44433146647*c_1001_2^7 + 47248337784/44433146647*c_1001_2^6 + 154299326204/44433146647*c_1001_2^5 + 164052642492/44433146647*c_1001_2^4 - 199142926451/44433146647*c_1001_2^3 - 57152214164/44433146647*c_1001_2^2 - 100246782914/44433146647*c_1001_2 - 12619450093/44433146647, c_0011_4 + 4472931494/44433146647*c_1001_2^11 + 9942763384/44433146647*c_1001_2^10 + 36857534782/44433146647*c_1001_2^9 + 29154310497/44433146647*c_1001_2^8 + 61928685285/44433146647*c_1001_2^7 - 81603751266/44433146647*c_1001_2^6 - 236959933102/44433146647*c_1001_2^5 - 253715376299/44433146647*c_1001_2^4 + 256679635513/44433146647*c_1001_2^3 + 195989267929/44433146647*c_1001_2^2 + 113517004597/44433146647*c_1001_2 + 39370115217/44433146647, c_0011_9 - 1664004304/44433146647*c_1001_2^11 - 2164494922/44433146647*c_1001_2^10 - 10769789717/44433146647*c_1001_2^9 + 1081066225/44433146647*c_1001_2^8 - 14898564217/44433146647*c_1001_2^7 + 52928712553/44433146647*c_1001_2^6 + 66114818915/44433146647*c_1001_2^5 + 31353796119/44433146647*c_1001_2^4 - 142339780105/44433146647*c_1001_2^3 + 23197950923/44433146647*c_1001_2^2 - 38888524043/44433146647*c_1001_2 + 14479299223/44433146647, c_0101_0 + 4113782629/44433146647*c_1001_2^11 + 8845003707/44433146647*c_1001_2^10 + 31807308683/44433146647*c_1001_2^9 + 20637545154/44433146647*c_1001_2^8 + 40154832986/44433146647*c_1001_2^7 - 100443301632/44433146647*c_1001_2^6 - 254744647682/44433146647*c_1001_2^5 - 239202069901/44433146647*c_1001_2^4 + 303859042617/44433146647*c_1001_2^3 + 220667815955/44433146647*c_1001_2^2 + 143819789447/44433146647*c_1001_2 + 42544662291/44433146647, c_0101_1 + 2114296179/44433146647*c_1001_2^11 + 3628196416/44433146647*c_1001_2^10 + 14796064726/44433146647*c_1001_2^9 + 3733491722/44433146647*c_1001_2^8 + 18264077865/44433146647*c_1001_2^7 - 64108607858/44433146647*c_1001_2^6 - 106006955263/44433146647*c_1001_2^5 - 87457072713/44433146647*c_1001_2^4 + 197382094141/44433146647*c_1001_2^3 + 39590317288/44433146647*c_1001_2^2 + 60834745120/44433146647*c_1001_2 - 16935966355/44433146647, c_0101_11 - 603667608/44433146647*c_1001_2^11 + 663273084/44433146647*c_1001_2^10 - 529585424/44433146647*c_1001_2^9 + 13199164103/44433146647*c_1001_2^8 + 5758884783/44433146647*c_1001_2^7 + 44615673691/44433146647*c_1001_2^6 - 271978118/44433146647*c_1001_2^5 - 56794264772/44433146647*c_1001_2^4 - 159112705715/44433146647*c_1001_2^3 + 68319036269/44433146647*c_1001_2^2 + 37100590251/44433146647*c_1001_2 + 32400834009/44433146647, c_0101_2 - 3752599323/44433146647*c_1001_2^11 - 4590116196/44433146647*c_1001_2^10 - 23932996081/44433146647*c_1001_2^9 + 3761998479/44433146647*c_1001_2^8 - 38270042141/44433146647*c_1001_2^7 + 113127326842/44433146647*c_1001_2^6 + 109427380451/44433146647*c_1001_2^5 + 39774638029/44433146647*c_1001_2^4 - 386888276812/44433146647*c_1001_2^3 + 116351931136/44433146647*c_1001_2^2 - 41133078069/44433146647*c_1001_2 + 55313594715/44433146647, c_0101_3 + 2099094194/44433146647*c_1001_2^11 + 4767519799/44433146647*c_1001_2^10 + 19010656698/44433146647*c_1001_2^9 + 17615340773/44433146647*c_1001_2^8 + 42543255616/44433146647*c_1001_2^7 - 25729096176/44433146647*c_1001_2^6 - 83630273760/44433146647*c_1001_2^5 - 139500582878/44433146647*c_1001_2^4 + 67410854944/44433146647*c_1001_2^3 + 42490705752/44433146647*c_1001_2^2 + 83495270727/44433146647*c_1001_2 + 15969426726/44433146647, c_0101_5 - 488027015/44433146647*c_1001_2^11 - 2014811528/44433146647*c_1001_2^10 - 5843967913/44433146647*c_1001_2^9 - 11210587480/44433146647*c_1001_2^8 - 12329621105/44433146647*c_1001_2^7 - 11149212286/44433146647*c_1001_2^6 + 40353327019/44433146647*c_1001_2^5 + 44572989567/44433146647*c_1001_2^4 + 21094847057/44433146647*c_1001_2^3 - 93944320854/44433146647*c_1001_2^2 - 17866755036/44433146647*c_1001_2 - 9458264493/44433146647, c_0110_11 + 1664004304/44433146647*c_1001_2^11 + 2164494922/44433146647*c_1001_2^10 + 10769789717/44433146647*c_1001_2^9 - 1081066225/44433146647*c_1001_2^8 + 14898564217/44433146647*c_1001_2^7 - 52928712553/44433146647*c_1001_2^6 - 66114818915/44433146647*c_1001_2^5 - 31353796119/44433146647*c_1001_2^4 + 142339780105/44433146647*c_1001_2^3 - 23197950923/44433146647*c_1001_2^2 + 38888524043/44433146647*c_1001_2 - 14479299223/44433146647, c_1001_2^12 + 2*c_1001_2^11 + 8*c_1001_2^10 + 5*c_1001_2^9 + 14*c_1001_2^8 - 22*c_1001_2^7 - 47*c_1001_2^6 - 56*c_1001_2^5 + 62*c_1001_2^4 + 20*c_1001_2^3 + 42*c_1001_2^2 + 4*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.500 Total time: 0.700 seconds, Total memory usage: 32.09MB