Magma V2.19-8 Wed Aug 21 2013 00:54:59 on localhost [Seed = 3970627218] Type ? for help. Type -D to quit. Loading file "L12n799__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n799 geometric_solution 11.85742047 oriented_manifold CS_known 0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 0 1 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 -1 -1 0 1 0 0 -1 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.168042012641 0.733804653866 0 5 7 6 0132 0132 0132 0132 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 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 0.539336834776 0.724654317255 3 0 9 8 1230 0132 0132 0132 0 1 1 0 0 0 0 0 0 0 1 -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 -1 1 1 -2 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.475481444044 2.366714116111 10 2 5 0 0132 3012 2103 0132 0 1 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 1 0 -1 0 0 1 -1 -2 0 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541293507369 0.398897628173 11 12 0 6 0132 0132 0132 2103 0 1 1 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 1 0 0 0 0 0 1 0 0 -1 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.977642711678 1.002633502663 3 1 8 10 2103 0132 2103 2103 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 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 0.448099483080 0.503212787664 10 9 1 4 2103 3201 0132 2103 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 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 0.539336834776 0.724654317255 11 9 12 1 3120 3120 3120 0132 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 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 0.501472109809 0.511271406974 5 9 2 10 2103 2031 0132 0321 0 1 1 1 0 0 0 0 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 0 0 0 -1 0 -1 2 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.197239509713 0.882286586258 8 7 6 2 1302 3120 2310 0132 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 0 0 0 0 0 0 0 -1 0 0 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 0.168042012641 0.733804653866 3 8 6 5 0132 0321 2103 2103 0 1 1 1 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 -1 1 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.989392990449 0.902110415837 4 12 12 7 0132 0321 2103 3120 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 0 0 0 0 1 -1 0 0 0 0 0 2 -2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899967348080 0.639141431705 11 4 7 11 2103 0132 3120 0321 0 1 0 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 1 0 -1 0 0 1 -1 1 -3 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.899967348080 0.639141431705 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_5'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_6'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_12']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_12'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : negation(d['c_0011_7']), 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : negation(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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_6'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : negation(d['c_0110_5']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_1001_12']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(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_0011_11'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_0101_1'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), '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_0011_8']), 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], '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_6, c_0011_7, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0110_5, c_1001_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 569844183717/162731380532*c_1001_12^12 - 1833158658717/162731380532*c_1001_12^11 + 779649642859/162731380532*c_1001_12^10 + 468030270189/40682845133*c_1001_12^9 + 29691265973/1312349843*c_1001_12^8 - 4788228294583/162731380532*c_1001_12^7 - 1160884744113/40682845133*c_1001_12^6 + 4870832545503/162731380532*c_1001_12^5 + 2173209776701/81365690266*c_1001_12^4 - 1336394932328/40682845133*c_1001_12^3 + 106895050715/11623670038*c_1001_12^2 - 186428592005/162731380532*c_1001_12 + 27950063891/162731380532, c_0011_0 - 1, c_0011_10 - 41064929565/81365690266*c_1001_12^12 + 82359514675/81365690266*c_1001_12^11 + 41000929349/81365690266*c_1001_12^10 - 51673211567/81365690266*c_1001_12^9 - 6478578076/1312349843*c_1001_12^8 - 59933195401/40682845133*c_1001_12^7 + 100689376140/40682845133*c_1001_12^6 + 69775580535/81365690266*c_1001_12^5 - 113076707988/40682845133*c_1001_12^4 + 26482450009/40682845133*c_1001_12^3 + 7264630037/11623670038*c_1001_12^2 + 12303220716/40682845133*c_1001_12 - 72757575893/40682845133, c_0011_11 + 52375555593/81365690266*c_1001_12^12 - 122886397551/81365690266*c_1001_12^11 - 27020244017/81365690266*c_1001_12^10 + 101309740409/81365690266*c_1001_12^9 + 8140346063/1312349843*c_1001_12^8 - 12073911020/40682845133*c_1001_12^7 - 204022308937/40682845133*c_1001_12^6 - 101229671535/81365690266*c_1001_12^5 + 187146127453/40682845133*c_1001_12^4 - 72402974324/40682845133*c_1001_12^3 - 2863077451/11623670038*c_1001_12^2 - 44947022525/40682845133*c_1001_12 + 108947160284/40682845133, c_0011_6 - 1, c_0011_7 + 7213917291/11623670038*c_1001_12^12 - 16405027465/11623670038*c_1001_12^11 - 4716223649/11623670038*c_1001_12^10 + 15129984937/11623670038*c_1001_12^9 + 1053842297/187478549*c_1001_12^8 + 1260977246/5811835019*c_1001_12^7 - 25482164251/5811835019*c_1001_12^6 - 949453781/11623670038*c_1001_12^5 + 22310816756/5811835019*c_1001_12^4 - 13477671690/5811835019*c_1001_12^3 - 3446017967/11623670038*c_1001_12^2 - 3509105494/5811835019*c_1001_12 + 12935990474/5811835019, c_0011_8 - 1, c_0011_9 + 60285640659/81365690266*c_1001_12^12 - 152558097193/81365690266*c_1001_12^11 - 389407507/81365690266*c_1001_12^10 + 121722162577/81365690266*c_1001_12^9 + 8603585649/1312349843*c_1001_12^8 - 61034386806/40682845133*c_1001_12^7 - 209589112777/40682845133*c_1001_12^6 + 44757952965/81365690266*c_1001_12^5 + 217776034893/40682845133*c_1001_12^4 - 108148678389/40682845133*c_1001_12^3 + 3093361249/11623670038*c_1001_12^2 - 43021353006/40682845133*c_1001_12 + 123225159854/40682845133, c_0101_0 - 1, c_0101_1 + c_1001_12, c_0101_11 - 60285640659/81365690266*c_1001_12^12 + 152558097193/81365690266*c_1001_12^11 + 389407507/81365690266*c_1001_12^10 - 121722162577/81365690266*c_1001_12^9 - 8603585649/1312349843*c_1001_12^8 + 61034386806/40682845133*c_1001_12^7 + 209589112777/40682845133*c_1001_12^6 - 44757952965/81365690266*c_1001_12^5 - 217776034893/40682845133*c_1001_12^4 + 108148678389/40682845133*c_1001_12^3 - 3093361249/11623670038*c_1001_12^2 + 2338507873/40682845133*c_1001_12 - 123225159854/40682845133, c_0101_2 - 24504919902/40682845133*c_1001_12^12 + 60452343261/40682845133*c_1001_12^11 + 10693145835/40682845133*c_1001_12^10 - 65321918822/40682845133*c_1001_12^9 - 7105874403/1312349843*c_1001_12^8 + 43655689670/40682845133*c_1001_12^7 + 233227360208/40682845133*c_1001_12^6 - 9627570150/40682845133*c_1001_12^5 - 197236504030/40682845133*c_1001_12^4 + 60924281909/40682845133*c_1001_12^3 - 361662387/5811835019*c_1001_12^2 - 6551213988/40682845133*c_1001_12 - 79562065060/40682845133, c_0110_5 - 60285640659/81365690266*c_1001_12^12 + 152558097193/81365690266*c_1001_12^11 + 389407507/81365690266*c_1001_12^10 - 121722162577/81365690266*c_1001_12^9 - 8603585649/1312349843*c_1001_12^8 + 61034386806/40682845133*c_1001_12^7 + 209589112777/40682845133*c_1001_12^6 - 44757952965/81365690266*c_1001_12^5 - 217776034893/40682845133*c_1001_12^4 + 108148678389/40682845133*c_1001_12^3 - 3093361249/11623670038*c_1001_12^2 + 43021353006/40682845133*c_1001_12 - 123225159854/40682845133, c_1001_12^13 - 8/3*c_1001_12^12 + 1/3*c_1001_12^11 + 2*c_1001_12^10 + 26/3*c_1001_12^9 - 10/3*c_1001_12^8 - 20/3*c_1001_12^7 + 5/3*c_1001_12^6 + 7*c_1001_12^5 - 5*c_1001_12^4 + 2/3*c_1001_12^3 - 2/3*c_1001_12^2 + 4*c_1001_12 - 4/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB