Magma V2.19-8 Wed Aug 21 2013 01:00:43 on localhost [Seed = 3819305202] Type ? for help. Type -D to quit. Loading file "L13n9799__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9799 geometric_solution 12.73802309 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 0 0 0 -4 -1 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446058732246 0.630603789108 0 5 6 5 0132 0132 0132 2310 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 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 0.870500332886 0.744613898800 2 0 2 6 2310 0132 3201 0132 1 1 1 1 0 -1 1 0 -1 0 1 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 4 0 -4 0 4 0 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.701060674728 1.166876130665 7 8 8 0 0132 0132 1302 0132 1 1 1 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 0 0 0 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 0.591205803323 0.901764325003 9 9 0 9 0132 1230 0132 2031 1 1 0 1 0 0 1 -1 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 1 -5 4 0 0 0 0 2 1 0 -3 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.439587922222 1.117274104895 1 1 10 11 3201 0132 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 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 0.429497618486 0.539103356941 9 8 2 1 3120 0213 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 0 0 0 -1 0 0 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.446058732246 0.630603789108 3 11 12 11 0132 3120 0132 1023 1 1 2 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 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 0.244343520507 1.069947358594 3 3 6 12 2031 0132 0213 2031 1 1 2 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491524747279 0.775575680200 4 4 4 6 0132 1302 3012 3120 1 1 1 0 0 0 1 -1 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 -4 4 0 0 -1 1 4 -4 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695056510898 0.775056471314 12 11 12 5 0213 3012 1023 0132 1 1 1 2 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 1 0 -1 -3 -1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 10 7 5 7 1230 3120 0132 1023 1 1 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 10 8 10 7 0213 1302 1023 0132 1 1 1 2 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 0 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.244343520507 1.069947358594 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_1001_1']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : negation(d['c_0011_4']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_1001_1']), 'c_1010_11' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_10'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_10'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_10']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_0']), 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : negation(d['c_0101_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_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_0011_4']), 'c_0101_8' : d['c_0011_6'], '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_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_2_9' : d['1']})} 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_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_0, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 7586483374861538476951/2026046818451625194368*c_1100_10^9 - 2628959349803896033745/506511704612906298592*c_1100_10^8 - 1824562188894426510329/42993035935313001472*c_1100_10^7 - 4679817621665169388541493/16208374547613001554944*c_1100_10^6 - 7954409141947335050903795/8104187273806500777472*c_1100_10^5 - 1609818843962262068000715/1013023409225812597184*c_1100_10^4 - 19303774714282501192072075/16208374547613001554944*c_1100_10^3 + 2612340237816885286841697/16208374547613001554944*c_1100_10^2 + 384155268413079871307161/558909467159069019136*c_1100_10 + 609844352616891512617025/1473488595237545595904, c_0011_0 - 1, c_0011_10 + 2573951958185/372375934861012*c_1100_10^9 + 873690187807/93093983715253*c_1100_10^8 + 272136716872847/2979007478888096*c_1100_10^7 + 1440473744440139/2979007478888096*c_1100_10^6 + 2996396352550885/1489503739444048*c_1100_10^5 + 586196557531709/186187967430506*c_1100_10^4 + 6284469782241205/2979007478888096*c_1100_10^3 - 6100132967486895/2979007478888096*c_1100_10^2 - 3876808813468827/2979007478888096*c_1100_10 - 5538701254922213/2979007478888096, c_0011_12 - 1, c_0011_3 - 1, c_0011_4 - 1, c_0011_6 + 4999053693398/93093983715253*c_1100_10^9 + 2053878752856/93093983715253*c_1100_10^8 + 170118451819997/372375934861012*c_1100_10^7 + 1434415408487225/372375934861012*c_1100_10^6 + 1645471465335065/186187967430506*c_1100_10^5 + 696036264753885/93093983715253*c_1100_10^4 - 889897875486909/372375934861012*c_1100_10^3 - 1228271790711261/372375934861012*c_1100_10^2 - 534539835741557/372375934861012*c_1100_10 + 484362922711409/372375934861012, c_0101_0 - 2509175451185/372375934861012*c_1100_10^9 + 59423569293/93093983715253*c_1100_10^8 - 182205676162759/2979007478888096*c_1100_10^7 - 1327414232364787/2979007478888096*c_1100_10^6 - 1377381659469589/1489503739444048*c_1100_10^5 - 58791423556049/93093983715253*c_1100_10^4 + 1444149891793667/2979007478888096*c_1100_10^3 + 1153137949019511/2979007478888096*c_1100_10^2 - 666330647153869/2979007478888096*c_1100_10 - 231452666082419/2979007478888096, c_0101_1 + 581460528423/744751869722024*c_1100_10^9 - 10500040806591/186187967430506*c_1100_10^8 + 865106033145505/5958014957776192*c_1100_10^7 - 4342342150551579/5958014957776192*c_1100_10^6 - 5580785834718829/2979007478888096*c_1100_10^5 - 853617294888703/372375934861012*c_1100_10^4 + 16949776388445179/5958014957776192*c_1100_10^3 + 5769668214036463/5958014957776192*c_1100_10^2 + 4276942326762779/5958014957776192*c_1100_10 - 12471979595193819/5958014957776192, c_0101_11 + 794183329071/186187967430506*c_1100_10^9 - 1565764085254/93093983715253*c_1100_10^8 + 119885985693145/1489503739444048*c_1100_10^7 + 67520964639021/1489503739444048*c_1100_10^6 + 33704060156411/744751869722024*c_1100_10^5 - 59467165782597/186187967430506*c_1100_10^4 + 755306891395579/1489503739444048*c_1100_10^3 - 354990523884737/1489503739444048*c_1100_10^2 + 1103369723873363/1489503739444048*c_1100_10 + 526271670371717/1489503739444048, c_0101_2 + 40573890075607/744751869722024*c_1100_10^9 - 6392283300879/186187967430506*c_1100_10^8 + 3587001262265457/5958014957776192*c_1100_10^7 + 18608304385244021/5958014957776192*c_1100_10^6 + 20746757610642211/2979007478888096*c_1100_10^5 + 1930527764126837/372375934861012*c_1100_10^4 + 2711410380654635/5958014957776192*c_1100_10^3 - 13882680437343713/5958014957776192*c_1100_10^2 - 4275695045102133/5958014957776192*c_1100_10 - 4722172831811275/5958014957776192, c_1001_0 + 17487039322407/372375934861012*c_1100_10^9 + 2113302322149/93093983715253*c_1100_10^8 + 1178741938397217/2979007478888096*c_1100_10^7 + 10147909035533013/2979007478888096*c_1100_10^6 + 11786390063210931/1489503739444048*c_1100_10^5 + 637244841197836/93093983715253*c_1100_10^4 - 5675033112101605/2979007478888096*c_1100_10^3 - 8673036376670577/2979007478888096*c_1100_10^2 - 4942649333086325/2979007478888096*c_1100_10 + 3643450715608853/2979007478888096, c_1001_1 - 2509175451185/372375934861012*c_1100_10^9 + 59423569293/93093983715253*c_1100_10^8 - 182205676162759/2979007478888096*c_1100_10^7 - 1327414232364787/2979007478888096*c_1100_10^6 - 1377381659469589/1489503739444048*c_1100_10^5 - 58791423556049/93093983715253*c_1100_10^4 + 1444149891793667/2979007478888096*c_1100_10^3 + 1153137949019511/2979007478888096*c_1100_10^2 - 666330647153869/2979007478888096*c_1100_10 - 231452666082419/2979007478888096, c_1100_10^10 + c_1100_10^9 + 87/8*c_1100_10^8 + 291/4*c_1100_10^7 + 1865/8*c_1100_10^6 + 1313/4*c_1100_10^5 + 1341/8*c_1100_10^4 - 611/4*c_1100_10^3 - 667/4*c_1100_10^2 - 99/2*c_1100_10 + 319/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB