Magma V2.19-8 Tue Aug 20 2013 23:42:20 on localhost [Seed = 4256929962] Type ? for help. Type -D to quit. Loading file "L13n2618__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2618 geometric_solution 10.18294813 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -2 0 2 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 3 0 -3 -2 0 0 2 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134253066966 0.736471270032 0 5 6 2 0132 0132 0132 1023 0 0 1 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 2 0 0 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612115121482 1.393305667291 7 0 4 1 0132 0132 2103 1023 0 0 1 1 0 2 -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 -3 1 2 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 0.033153986467 0.822704058599 5 5 8 0 3012 0213 0132 0132 0 0 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 7 -6 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668217292922 0.737539434920 2 9 0 10 2103 0132 0132 0132 0 0 0 1 0 0 -2 2 0 0 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 3 -3 0 0 -2 2 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.029582035131 0.736594873850 7 1 3 3 1023 0132 0213 1230 0 1 1 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 0 0 0 0 0 0 0 1 0 6 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668217292922 0.737539434920 7 8 9 1 3120 1023 0132 0132 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 0 0 0 0 0 0 0 0 0 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 0.976877272385 1.036169809634 2 5 8 6 0132 1023 3012 3120 1 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 0 0 0 -1 0 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 0.212955884830 1.049789738713 6 7 9 3 1023 1230 1302 0132 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 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 0.638970612353 0.396884738656 8 4 10 6 2031 0132 1302 0132 0 0 1 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357559680705 0.459621700651 9 10 4 10 2031 1302 0132 2031 0 0 0 0 0 1 -2 1 0 0 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 -2 3 -1 0 0 -2 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653795766823 0.496263082322 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0110_10'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_7'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0110_10'], 'c_1001_8' : d['c_0101_6'], 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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_0101_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : d['c_0011_3'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_7'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : d['c_0101_7'], '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' : 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' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_7, c_0110_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 4725844359017232609851/33979318112784840007680*c_0110_10^12 + 2498448793089872836133/16989659056392420003840*c_0110_10^11 - 85113422682400098041273/33979318112784840007680*c_0110_10^10 + 1856101751670235690559/4247414764098105000960*c_0110_10^9 - 56842193374837487664461/3775479790309426667520*c_0110_10^8 - 148284679350515383471/755095958061885333504*c_0110_10^7 - 20573828926329544424161/419497754478825185280*c_0110_10^6 + 106593051480010290096761/2613793700983449231360*c_0110_10^5 - 2123267490330748735231903/16989659056392420003840*c_0110_10^4 + 8076307617327047665932091/33979318112784840007680*c_0110_10^3 - 52514007764999225465179/188773989515471333376*c_0110_10^2 + 368863947519069542608483/1061853691024526250240*c_0110_10 - 62347778898450936550897/176975615170754375040, c_0011_0 - 1, c_0011_10 + 90166095548389/50420403182551104*c_0110_10^12 - 105174712053781/25210201591275552*c_0110_10^11 + 1662792535752127/50420403182551104*c_0110_10^10 - 448557541142129/12605100795637776*c_0110_10^9 + 941040815455091/5602267020283456*c_0110_10^8 - 639038553442167/5602267020283456*c_0110_10^7 + 3057145202137155/5602267020283456*c_0110_10^6 - 42031436177095063/50420403182551104*c_0110_10^5 + 50137725088158983/25210201591275552*c_0110_10^4 - 171719971379212205/50420403182551104*c_0110_10^3 + 2883112110039143/700283377535432*c_0110_10^2 - 13927146128764075/3151275198909444*c_0110_10 + 719789212367729/262606266575787, c_0011_3 + 122519931502631/113445907160739984*c_0110_10^12 - 181406318328187/113445907160739984*c_0110_10^11 + 2424453404514947/113445907160739984*c_0110_10^10 - 1418280825358123/113445907160739984*c_0110_10^9 + 1715802838670417/12605100795637776*c_0110_10^8 - 60530549119967/1575637599454722*c_0110_10^7 + 149207096597131/350141688767716*c_0110_10^6 - 13785811685452343/28361476790184996*c_0110_10^5 + 129348282488775461/113445907160739984*c_0110_10^4 - 319136366934759817/113445907160739984*c_0110_10^3 + 36827920034826605/12605100795637776*c_0110_10^2 - 118750590966685583/28361476790184996*c_0110_10 + 9279775828593367/2363456399182083, c_0011_4 - 57478211823929/37815302386913328*c_0110_10^12 + 49178029597433/18907651193456664*c_0110_10^11 - 1028829235268771/37815302386913328*c_0110_10^10 + 170966708283721/9453825596728332*c_0110_10^9 - 605054262383735/4201700265212592*c_0110_10^8 + 269518017751171/4201700265212592*c_0110_10^7 - 617621221916205/1400566755070864*c_0110_10^6 + 26951564049961499/37815302386913328*c_0110_10^5 - 24718124198332471/18907651193456664*c_0110_10^4 + 110653396156892953/37815302386913328*c_0110_10^3 - 1548189638604433/525212533151574*c_0110_10^2 + 17789391985237903/4726912798364166*c_0110_10 - 2823739155118096/787818799727361, c_0101_0 - 1, c_0101_1 + 40585439349451/151261209547653312*c_0110_10^12 - 118812017771611/75630604773826656*c_0110_10^11 + 873060666181297/151261209547653312*c_0110_10^10 - 661805790291503/37815302386913328*c_0110_10^9 + 402905396830333/16806801060850368*c_0110_10^8 - 839043589321817/16806801060850368*c_0110_10^7 + 586660314472335/5602267020283456*c_0110_10^6 - 18288052331439193/151261209547653312*c_0110_10^5 + 51540678471147065/75630604773826656*c_0110_10^4 - 72546329510064803/151261209547653312*c_0110_10^3 + 2456577775699697/2100850132606296*c_0110_10^2 - 6202654415816419/9453825596728332*c_0110_10 - 664371518014909/787818799727361, c_0101_10 + 99484096813003/50420403182551104*c_0110_10^12 - 108680755096123/25210201591275552*c_0110_10^11 + 1881186798898321/50420403182551104*c_0110_10^10 - 503201987679599/12605100795637776*c_0110_10^9 + 1174845862236765/5602267020283456*c_0110_10^8 - 849498727576409/5602267020283456*c_0110_10^7 + 3812198903813133/5602267020283456*c_0110_10^6 - 48379934851229689/50420403182551104*c_0110_10^5 + 58704373529095337/25210201591275552*c_0110_10^4 - 222959535829003523/50420403182551104*c_0110_10^3 + 3767434645383289/700283377535432*c_0110_10^2 - 22232719592381845/3151275198909444*c_0110_10 + 1135634198338511/262606266575787, c_0101_3 + 70795639361621/75630604773826656*c_0110_10^12 - 12417886811969/9453825596728332*c_0110_10^11 + 1315044874803443/75630604773826656*c_0110_10^10 - 245116059865655/37815302386913328*c_0110_10^9 + 884331236275283/8403400530425184*c_0110_10^8 + 47386529657447/8403400530425184*c_0110_10^7 + 1068225431969703/2801133510141728*c_0110_10^6 - 12335942596808705/75630604773826656*c_0110_10^5 + 5505582853613603/4726912798364166*c_0110_10^4 - 94043087024737801/75630604773826656*c_0110_10^3 + 8060409071059843/4201700265212592*c_0110_10^2 - 23450717023371985/9453825596728332*c_0110_10 + 593907610806599/787818799727361, c_0101_6 + 40585439349451/151261209547653312*c_0110_10^12 - 118812017771611/75630604773826656*c_0110_10^11 + 873060666181297/151261209547653312*c_0110_10^10 - 661805790291503/37815302386913328*c_0110_10^9 + 402905396830333/16806801060850368*c_0110_10^8 - 839043589321817/16806801060850368*c_0110_10^7 + 586660314472335/5602267020283456*c_0110_10^6 - 18288052331439193/151261209547653312*c_0110_10^5 + 51540678471147065/75630604773826656*c_0110_10^4 - 72546329510064803/151261209547653312*c_0110_10^3 + 2456577775699697/2100850132606296*c_0110_10^2 - 6202654415816419/9453825596728332*c_0110_10 - 664371518014909/787818799727361, c_0101_7 + 47173678391141/50420403182551104*c_0110_10^12 - 17818303473263/25210201591275552*c_0110_10^11 + 681888412279847/50420403182551104*c_0110_10^10 + 9273836699785/1575637599454722*c_0110_10^9 + 322563213379459/5602267020283456*c_0110_10^8 + 223609746463069/5602267020283456*c_0110_10^7 + 1003931457719295/5602267020283456*c_0110_10^6 - 5252811376314467/50420403182551104*c_0110_10^5 + 10889117626396933/25210201591275552*c_0110_10^4 - 16136619133765669/50420403182551104*c_0110_10^3 + 78258202503691/1400566755070864*c_0110_10^2 + 872899060849543/3151275198909444*c_0110_10 - 308619924998447/262606266575787, c_0110_10^13 - 2*c_0110_10^12 + 19*c_0110_10^11 - 20*c_0110_10^10 + 111*c_0110_10^9 - 99*c_0110_10^8 + 351*c_0110_10^7 - 619*c_0110_10^6 + 1174*c_0110_10^5 - 2537*c_0110_10^4 + 3576*c_0110_10^3 - 4336*c_0110_10^2 + 4800*c_0110_10 - 2304 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB