Magma V2.19-8 Tue Aug 20 2013 17:59:16 on localhost [Seed = 3018983200] Type ? for help. Type -D to quit. Loading file "10^2_40__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_40 geometric_solution 13.01292544 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 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 1 -1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215933092275 0.508522435873 0 5 7 6 0132 0132 0132 0132 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 -3 3 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 -0.060521713623 0.916525622117 3 0 8 8 0132 0132 2103 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 -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 0.646268988913 0.833036536952 2 5 6 0 0132 1023 2103 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.568133815451 1.017044871747 9 9 0 10 0132 1230 0132 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 -1 0 -1 0 1 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438915608393 0.908576825837 3 1 8 11 1023 0132 1230 0132 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 3 -1 -2 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 1.418620769049 0.749394059619 3 11 1 10 2103 0321 0132 2103 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060521713623 0.916525622117 12 12 13 1 0132 2103 0132 0132 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 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568912407623 0.892372448939 2 11 2 5 2103 1023 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.418620769049 0.749394059619 4 13 4 12 0132 2103 3012 0132 0 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 0 0 1 0 -1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568912407623 0.892372448939 13 13 4 6 2103 1023 0132 2103 0 0 0 1 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 0 0 0 -2 0 0 2 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.438915608393 0.908576825837 8 12 5 6 1023 2310 0132 0321 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.897763251721 0.582262497122 7 7 9 11 0132 2103 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568912407623 0.892372448939 10 9 10 7 1023 2103 2103 0132 0 0 0 1 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 1 2 -3 0 0 0 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568912407623 0.892372448939 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : d['c_0110_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_11'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_13' : d['c_0011_12'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : negation(d['c_0101_7']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_0_13' : d['1'], 'c_0101_13' : d['c_0101_10'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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_13' : 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_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_8'], 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_0110_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_8'], 'c_1100_10' : negation(d['c_0110_6']), 'c_1100_13' : negation(d['c_0110_10']), 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_11'], 'c_1010_1' : d['c_0110_8'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_2_8' : 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' : negation(d['c_0011_11']), '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' : d['c_0011_11'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_12']), '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' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 's_3_12' : d['1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_0'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0110_8'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0110_10, c_0110_6, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 41099033487/247834789888*c_1001_1^6 - 78144299665/123917394944*c_1001_1^5 - 39735520745/17702484992*c_1001_1^4 - 715091473597/247834789888*c_1001_1^3 - 1585129673053/247834789888*c_1001_1^2 - 1066631971827/123917394944*c_1001_1 - 1509348809807/247834789888, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 839178/17287583*c_1001_1^6 + 2653365/17287583*c_1001_1^5 + 8830671/17287583*c_1001_1^4 + 3729069/17287583*c_1001_1^3 + 18154064/17287583*c_1001_1^2 + 14528327/17287583*c_1001_1 + 23483550/17287583, c_0011_12 + 1885971/34575166*c_1001_1^6 + 6808073/34575166*c_1001_1^5 + 23634837/34575166*c_1001_1^4 + 13460915/17287583*c_1001_1^3 + 57948147/34575166*c_1001_1^2 + 65250055/34575166*c_1001_1 + 7942316/17287583, c_0011_6 + 1, c_0101_0 + 215157/17287583*c_1001_1^6 + 1171436/17287583*c_1001_1^5 + 3578808/17287583*c_1001_1^4 + 5474615/17287583*c_1001_1^3 + 3128389/17287583*c_1001_1^2 + 13262861/17287583*c_1001_1 + 8236177/17287583, c_0101_1 + 1254996/17287583*c_1001_1^6 + 4145001/17287583*c_1001_1^5 + 14443350/17287583*c_1001_1^4 + 12588142/17287583*c_1001_1^3 + 36486911/17287583*c_1001_1^2 + 41901552/17287583*c_1001_1 + 24209794/17287583, c_0101_10 - 234801/69150332*c_1001_1^6 - 435933/69150332*c_1001_1^5 - 5057033/69150332*c_1001_1^4 - 1813693/34575166*c_1001_1^3 - 11135201/69150332*c_1001_1^2 + 26052823/69150332*c_1001_1 - 9847882/17287583, c_0101_11 + 839178/17287583*c_1001_1^6 + 2653365/17287583*c_1001_1^5 + 8830671/17287583*c_1001_1^4 + 3729069/17287583*c_1001_1^3 + 18154064/17287583*c_1001_1^2 + 14528327/17287583*c_1001_1 + 6195967/17287583, c_0101_7 - 1254996/17287583*c_1001_1^6 - 4145001/17287583*c_1001_1^5 - 14443350/17287583*c_1001_1^4 - 12588142/17287583*c_1001_1^3 - 36486911/17287583*c_1001_1^2 - 41901552/17287583*c_1001_1 - 24209794/17287583, c_0110_10 - 839178/17287583*c_1001_1^6 - 2653365/17287583*c_1001_1^5 - 8830671/17287583*c_1001_1^4 - 3729069/17287583*c_1001_1^3 - 18154064/17287583*c_1001_1^2 - 14528327/17287583*c_1001_1 - 23483550/17287583, c_0110_6 - c_1001_1, c_0110_8 + 215157/17287583*c_1001_1^6 + 1171436/17287583*c_1001_1^5 + 3578808/17287583*c_1001_1^4 + 5474615/17287583*c_1001_1^3 + 3128389/17287583*c_1001_1^2 + 13262861/17287583*c_1001_1 + 8236177/17287583, c_1001_1^7 + 11/3*c_1001_1^6 + 13*c_1001_1^5 + 46/3*c_1001_1^4 + 107/3*c_1001_1^3 + 45*c_1001_1^2 + 88/3*c_1001_1 - 32/3 ], Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_7, c_0110_10, c_0110_6, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 38042810517271654/527450415455583*c_1001_1^9 - 630064807885758914/527450415455583*c_1001_1^8 - 409082324091529267/31026495026799*c_1001_1^7 - 1664389940333286565/58605601717287*c_1001_1^6 - 643456381407054769/19535200572429*c_1001_1^5 - 2228611861656133102/58605601717287*c_1001_1^4 - 5880177549037460987/175816805151861*c_1001_1^3 - 9878652397458905882/527450415455583*c_1001_1^2 - 3165269959453494065/527450415455583*c_1001_1 - 506847542064342205/527450415455583, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 5018464403/26797257301*c_1001_1^9 + 77502303429/26797257301*c_1001_1^8 + 49084953630/1576309253*c_1001_1^7 + 1101297270482/26797257301*c_1001_1^6 + 1692823016334/26797257301*c_1001_1^5 + 1684398050196/26797257301*c_1001_1^4 + 1471222124601/26797257301*c_1001_1^3 + 866722450549/26797257301*c_1001_1^2 + 346428693711/26797257301*c_1001_1 + 54172556793/26797257301, c_0011_12 + 50108093/26797257301*c_1001_1^9 + 3293076114/26797257301*c_1001_1^8 + 2725527783/1576309253*c_1001_1^7 + 415857996820/26797257301*c_1001_1^6 + 418580077341/26797257301*c_1001_1^5 + 658571414639/26797257301*c_1001_1^4 + 563174306289/26797257301*c_1001_1^3 + 424618277919/26797257301*c_1001_1^2 + 216130443553/26797257301*c_1001_1 + 39960110916/26797257301, c_0011_6 - 11371298473/80391771903*c_1001_1^9 - 181503588025/80391771903*c_1001_1^8 - 116564607740/4728927759*c_1001_1^7 - 3471873840140/80391771903*c_1001_1^6 - 5089695367576/80391771903*c_1001_1^5 - 5619078742838/80391771903*c_1001_1^4 - 4988860883089/80391771903*c_1001_1^3 - 3331942762183/80391771903*c_1001_1^2 - 1508753186545/80391771903*c_1001_1 - 115136454202/26797257301, c_0101_0 + 5561697302/241175315709*c_1001_1^9 + 87476446601/241175315709*c_1001_1^8 + 55616808490/14186783277*c_1001_1^7 + 1427316121681/241175315709*c_1001_1^6 + 1619668303334/241175315709*c_1001_1^5 + 1801276885138/241175315709*c_1001_1^4 + 1202365857263/241175315709*c_1001_1^3 + 749739139787/241175315709*c_1001_1^2 - 111476743072/241175315709*c_1001_1 - 38449779497/80391771903, c_0101_1 + 11512759050/26797257301*c_1001_1^9 + 179631839494/26797257301*c_1001_1^8 + 114272996554/1576309253*c_1001_1^7 + 2832067088232/26797257301*c_1001_1^6 + 4291064150127/26797257301*c_1001_1^5 + 4508478575091/26797257301*c_1001_1^4 + 3922123118528/26797257301*c_1001_1^3 + 2481921009369/26797257301*c_1001_1^2 + 1003570529935/26797257301*c_1001_1 + 183513378492/26797257301, c_0101_10 + 7097601740/26797257301*c_1001_1^9 + 110193642135/26797257301*c_1001_1^8 + 69921078507/1576309253*c_1001_1^7 + 1647693304276/26797257301*c_1001_1^6 + 2452606907199/26797257301*c_1001_1^5 + 2592393523227/26797257301*c_1001_1^4 + 2111562895927/26797257301*c_1001_1^3 + 1328271112388/26797257301*c_1001_1^2 + 498752039238/26797257301*c_1001_1 + 85656008519/26797257301, c_0101_11 + 1842047368/80391771903*c_1001_1^9 + 25501661131/80391771903*c_1001_1^8 + 15345126575/4728927759*c_1001_1^7 - 83991014347/80391771903*c_1001_1^6 - 5613159287/80391771903*c_1001_1^5 - 282942296125/80391771903*c_1001_1^4 - 287597254643/80391771903*c_1001_1^3 - 365887705268/80391771903*c_1001_1^2 - 234733552706/80391771903*c_1001_1 - 17083320054/26797257301, c_0101_7 - 11512759050/26797257301*c_1001_1^9 - 179631839494/26797257301*c_1001_1^8 - 114272996554/1576309253*c_1001_1^7 - 2832067088232/26797257301*c_1001_1^6 - 4291064150127/26797257301*c_1001_1^5 - 4508478575091/26797257301*c_1001_1^4 - 3922123118528/26797257301*c_1001_1^3 - 2481921009369/26797257301*c_1001_1^2 - 1003570529935/26797257301*c_1001_1 - 183513378492/26797257301, c_0110_10 - 5018464403/26797257301*c_1001_1^9 - 77502303429/26797257301*c_1001_1^8 - 49084953630/1576309253*c_1001_1^7 - 1101297270482/26797257301*c_1001_1^6 - 1692823016334/26797257301*c_1001_1^5 - 1684398050196/26797257301*c_1001_1^4 - 1471222124601/26797257301*c_1001_1^3 - 866722450549/26797257301*c_1001_1^2 - 346428693711/26797257301*c_1001_1 - 54172556793/26797257301, c_0110_6 - c_1001_1, c_0110_8 - 5561697302/241175315709*c_1001_1^9 - 87476446601/241175315709*c_1001_1^8 - 55616808490/14186783277*c_1001_1^7 - 1427316121681/241175315709*c_1001_1^6 - 1619668303334/241175315709*c_1001_1^5 - 1801276885138/241175315709*c_1001_1^4 - 1202365857263/241175315709*c_1001_1^3 - 749739139787/241175315709*c_1001_1^2 - 129698572637/241175315709*c_1001_1 + 38449779497/80391771903, c_1001_1^10 + 16*c_1001_1^9 + 175*c_1001_1^8 + 314*c_1001_1^7 + 481*c_1001_1^6 + 551*c_1001_1^5 + 511*c_1001_1^4 + 364*c_1001_1^3 + 184*c_1001_1^2 + 57*c_1001_1 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.550 seconds, Total memory usage: 32.09MB