Magma V2.19-8 Wed Aug 21 2013 00:55:37 on localhost [Seed = 2867638437] Type ? for help. Type -D to quit. Loading file "L13n103__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n103 geometric_solution 12.72241474 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 0 0 0 0 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777122142501 1.072745071739 0 5 5 6 0132 0132 0321 0132 0 1 1 1 0 2 -3 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 1 -2 1 0 0 0 0 -2 -1 0 3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394990864615 0.773884954950 6 0 5 6 3012 0132 2031 2031 1 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 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 0.394990864615 0.773884954950 7 8 9 0 0132 0132 0132 0132 1 1 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 1 0 -1 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 0.543874315881 0.669452246853 9 7 0 8 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.543874315881 0.669452246853 7 1 1 2 3201 0132 0321 1302 0 1 1 1 0 -2 3 -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 -1 2 -1 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394990864615 0.773884954950 7 2 1 2 2103 1302 0132 1230 0 1 1 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 0 -1 1 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626995369172 0.802008192351 3 4 6 5 0132 0132 2103 2310 1 1 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 0 0 -1 0 0 1 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777122142501 1.072745071739 10 3 4 11 0132 0132 0132 0132 1 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 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610526564813 1.081345465747 4 10 12 3 0132 0132 0132 0132 1 1 1 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 0 -1 0 0 -1 1 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.610526564813 1.081345465747 8 9 11 12 0132 0132 0213 3120 1 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 0 0 2 0 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080188118533 0.653127765410 12 10 8 12 1302 0213 0132 0132 1 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 -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 0.607544254356 0.537514560238 10 11 11 9 3120 2031 0132 0132 1 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 0 0 0 0 0 -1 1 2 1 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.607544254356 0.537514560238 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_0']), 'c_1001_11' : d['c_1001_10'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_0101_12']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : negation(d['c_0110_5']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : negation(d['c_0110_5']), 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_0011_11'], 's_3_11' : d['1'], 's_3_10' : 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_0011_11'], 'c_0101_10' : d['c_0011_11'], '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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_0'], 'c_1100_6' : d['c_0110_2'], 'c_1100_1' : d['c_0110_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_2']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_5']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : negation(d['c_0110_5']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : d['c_1001_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_8'], 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], '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_8'], 'c_0101_8' : d['c_0101_8'], '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_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1100_0']})} 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_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_8, c_0110_2, c_0110_5, c_1001_10, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 6243667693816028835119104/617776200470549489*c_1100_0^17 + 4210024814237628587704320/617776200470549489*c_1100_0^16 + 653983301627246242578432/617776200470549489*c_1100_0^15 - 660592965294046219403264/617776200470549489*c_1100_0^14 - 2352891652013878781835264/617776200470549489*c_1100_0^13 + 53478568727744123650048/617776200470549489*c_1100_0^12 + 316431897735669112873984/617776200470549489*c_1100_0^11 - 203760266633131433840640/617776200470549489*c_1100_0^10 - 55536533537723465344896/617776200470549489*c_1100_0^9 - 251657122654689457889280/617776200470549489*c_1100_0^8 - 80757494796652075089728/617776200470549489*c_1100_0^7 - 25981909661254034155776/617776200470549489*c_1100_0^6 - 15133067893424178584656/617776200470549489*c_1100_0^5 + 24236558042907774403200/617776200470549489*c_1100_0^4 - 1021534952605829980712/21302627602432741*c_1100_0^3 + 1691029557236746166152/617776200470549489*c_1100_0^2 + 12961389856448544847815/1235552400941098978*c_1100_0 - 1433121197486223278952/617776200470549489, c_0011_0 - 1, c_0011_10 - c_1100_0, c_0011_11 - 2178242457600/320890841*c_1100_0^17 - 450541885440/320890841*c_1100_0^16 + 913780405248/320890841*c_1100_0^15 + 184690498048/320890841*c_1100_0^14 - 875955445248/320890841*c_1100_0^13 - 730084632064/320890841*c_1100_0^12 - 114375672448/320890841*c_1100_0^11 - 45300127168/320890841*c_1100_0^10 - 69466911920/320890841*c_1100_0^9 - 118292650616/320890841*c_1100_0^8 - 117194043676/320890841*c_1100_0^7 - 61454257418/320890841*c_1100_0^6 - 31043050061/320890841*c_1100_0^5 - 6395142611/641781682*c_1100_0^4 - 25284006585/1283563364*c_1100_0^3 - 58049874795/2567126728*c_1100_0^2 + 1114571377/1283563364*c_1100_0 + 742510473/320890841, c_0011_6 - 1615785897984/320890841*c_1100_0^17 - 469614147584/320890841*c_1100_0^16 + 713700015104/320890841*c_1100_0^15 + 182942541312/320890841*c_1100_0^14 - 665455157248/320890841*c_1100_0^13 - 589114066688/320890841*c_1100_0^12 - 106868951680/320890841*c_1100_0^11 - 28763047040/320890841*c_1100_0^10 - 56686488976/320890841*c_1100_0^9 - 90699127448/320890841*c_1100_0^8 - 92570107644/320890841*c_1100_0^7 - 50758611222/320890841*c_1100_0^6 - 24194168785/320890841*c_1100_0^5 - 8240126927/641781682*c_1100_0^4 - 18235292031/1283563364*c_1100_0^3 - 48848119443/2567126728*c_1100_0^2 - 602952991/1283563364*c_1100_0 + 577335277/320890841, c_0101_0 - 1637973487616/320890841*c_1100_0^17 - 101914388480/320890841*c_1100_0^16 + 485817529344/320890841*c_1100_0^15 + 106219014656/320890841*c_1100_0^14 - 618097193472/320890841*c_1100_0^13 - 442213146624/320890841*c_1100_0^12 - 103317488000/320890841*c_1100_0^11 - 68080669952/320890841*c_1100_0^10 - 46797042928/320890841*c_1100_0^9 - 84693949672/320890841*c_1100_0^8 - 77624040668/320890841*c_1100_0^7 - 45356082462/320890841*c_1100_0^6 - 23171673193/320890841*c_1100_0^5 - 7600509307/641781682*c_1100_0^4 - 26200811357/1283563364*c_1100_0^3 - 33529493339/2567126728*c_1100_0^2 + 1278270245/1283563364*c_1100_0 + 282664151/320890841, c_0101_1 - 1615785897984/320890841*c_1100_0^17 - 469614147584/320890841*c_1100_0^16 + 713700015104/320890841*c_1100_0^15 + 182942541312/320890841*c_1100_0^14 - 665455157248/320890841*c_1100_0^13 - 589114066688/320890841*c_1100_0^12 - 106868951680/320890841*c_1100_0^11 - 28763047040/320890841*c_1100_0^10 - 56686488976/320890841*c_1100_0^9 - 90699127448/320890841*c_1100_0^8 - 92570107644/320890841*c_1100_0^7 - 50758611222/320890841*c_1100_0^6 - 24194168785/320890841*c_1100_0^5 - 8240126927/641781682*c_1100_0^4 - 18235292031/1283563364*c_1100_0^3 - 48848119443/2567126728*c_1100_0^2 - 602952991/1283563364*c_1100_0 + 577335277/320890841, c_0101_12 - 2927080660992/320890841*c_1100_0^17 - 663218769920/320890841*c_1100_0^16 + 1138922772480/320890841*c_1100_0^15 + 311598433280/320890841*c_1100_0^14 - 1163096646656/320890841*c_1100_0^13 - 1011724127744/320890841*c_1100_0^12 - 196213950208/320890841*c_1100_0^11 - 72696539136/320890841*c_1100_0^10 - 90310987552/320890841*c_1100_0^9 - 166595317840/320890841*c_1100_0^8 - 158924748136/320890841*c_1100_0^7 - 90256555236/320890841*c_1100_0^6 - 43505566974/320890841*c_1100_0^5 - 6861439897/320890841*c_1100_0^4 - 18300411549/641781682*c_1100_0^3 - 38246710769/1283563364*c_1100_0^2 + 106221751/320890841*c_1100_0 + 1073054501/320890841, c_0101_2 - 1, c_0101_8 + 1055890972672/320890841*c_1100_0^17 + 1079907295232/320890841*c_1100_0^16 - 610179293184/320890841*c_1100_0^15 - 360839756800/320890841*c_1100_0^14 + 453183433216/320890841*c_1100_0^13 + 680082943488/320890841*c_1100_0^12 + 215765987200/320890841*c_1100_0^11 + 14933196864/320890841*c_1100_0^10 + 59554961824/320890841*c_1100_0^9 + 69954826848/320890841*c_1100_0^8 + 98332759840/320890841*c_1100_0^7 + 60067334328/320890841*c_1100_0^6 + 28999378526/320890841*c_1100_0^5 + 8878804557/320890841*c_1100_0^4 + 3870333557/641781682*c_1100_0^3 + 26285546095/1283563364*c_1100_0^2 + 4877505097/1283563364*c_1100_0 - 980293792/320890841, c_0110_2 + 46344994816/3308153*c_1100_0^17 - 1949761536/3308153*c_1100_0^16 - 14696562688/3308153*c_1100_0^15 - 1736081408/3308153*c_1100_0^14 + 17947826176/3308153*c_1100_0^13 + 11073495040/3308153*c_1100_0^12 + 1370678272/3308153*c_1100_0^11 + 1281494016/3308153*c_1100_0^10 + 1013998208/3308153*c_1100_0^9 + 2319771136/3308153*c_1100_0^8 + 1932538752/3308153*c_1100_0^7 + 1034626176/3308153*c_1100_0^6 + 501707936/3308153*c_1100_0^5 + 11681136/3308153*c_1100_0^4 + 158434480/3308153*c_1100_0^3 + 98531904/3308153*c_1100_0^2 - 38688337/6616306*c_1100_0 - 7567465/3308153, c_0110_5 - 1637973487616/320890841*c_1100_0^17 - 101914388480/320890841*c_1100_0^16 + 485817529344/320890841*c_1100_0^15 + 106219014656/320890841*c_1100_0^14 - 618097193472/320890841*c_1100_0^13 - 442213146624/320890841*c_1100_0^12 - 103317488000/320890841*c_1100_0^11 - 68080669952/320890841*c_1100_0^10 - 46797042928/320890841*c_1100_0^9 - 84693949672/320890841*c_1100_0^8 - 77624040668/320890841*c_1100_0^7 - 45356082462/320890841*c_1100_0^6 - 23171673193/320890841*c_1100_0^5 - 7600509307/641781682*c_1100_0^4 - 26200811357/1283563364*c_1100_0^3 - 33529493339/2567126728*c_1100_0^2 + 1278270245/1283563364*c_1100_0 + 282664151/320890841, c_1001_10 + 1055890972672/320890841*c_1100_0^17 + 1079907295232/320890841*c_1100_0^16 - 610179293184/320890841*c_1100_0^15 - 360839756800/320890841*c_1100_0^14 + 453183433216/320890841*c_1100_0^13 + 680082943488/320890841*c_1100_0^12 + 215765987200/320890841*c_1100_0^11 + 14933196864/320890841*c_1100_0^10 + 59554961824/320890841*c_1100_0^9 + 69954826848/320890841*c_1100_0^8 + 98332759840/320890841*c_1100_0^7 + 60067334328/320890841*c_1100_0^6 + 28999378526/320890841*c_1100_0^5 + 8878804557/320890841*c_1100_0^4 + 3870333557/641781682*c_1100_0^3 + 26285546095/1283563364*c_1100_0^2 + 4877505097/1283563364*c_1100_0 - 980293792/320890841, c_1100_0^18 - 1/2*c_1100_0^16 + 7/16*c_1100_0^14 + 1/4*c_1100_0^13 - 1/32*c_1100_0^12 + 7/256*c_1100_0^10 + 3/64*c_1100_0^9 + 21/512*c_1100_0^8 + 1/64*c_1100_0^7 + 13/2048*c_1100_0^6 - 1/512*c_1100_0^5 + 9/4096*c_1100_0^4 + 11/4096*c_1100_0^3 - 63/65536*c_1100_0^2 - 7/16384*c_1100_0 + 1/8192 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB