Magma V2.19-8 Tue Aug 20 2013 16:16:31 on localhost [Seed = 661044160] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0799 geometric_solution 4.73895581 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1.472264711435 0.397259559317 0 2 3 0 3201 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 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 0.921322113521 0.369820833833 3 1 3 4 2103 0132 1302 0132 0 0 0 0 0 1 -1 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 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 0.705130440904 0.679886886851 2 4 2 1 2031 1023 2103 0132 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 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 0.705130440904 0.679886886851 3 5 2 5 1023 0132 0132 1023 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 -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 0.776158104038 0.794487826461 6 4 6 4 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657608619860 0.171613364305 5 6 5 6 0132 1302 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.619229943014 0.055065161044 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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_0_6' : 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_6' : negation(d['c_0011_3']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_1']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_3'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0110_4'], 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_1']), 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : negation(d['c_0011_1']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : d['c_0101_6'], 'c_1010_3' : d['c_0110_4'], 'c_1010_2' : d['c_0110_4'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_3, c_0101_0, c_0101_5, c_0101_6, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t + 941176741942106957/404393075388305888*c_0110_4^18 - 219764175665951655/12637283605884559*c_0110_4^17 + 12992915676917066637/404393075388305888*c_0110_4^16 - 7071908693184579181/404393075388305888*c_0110_4^15 + 9979819121636805871/404393075388305888*c_0110_4^14 + 39621676658814446103/404393075388305888*c_0110_4^13 + 20395313447354810573/404393075388305888*c_0110_4^12 - 31383515566071451895/404393075388305888*c_0110_4^11 - 4046747637547504013/404393075388305888*c_0110_4^10 - 59285216107633172751/404393075388305888*c_0110_4^9 - 7478147134566669583/404393075388305888*c_0110_4^8 + 44791329982400473981/202196537694152944*c_0110_4^7 - 43546857713192351817/202196537694152944*c_0110_4^6 + 45799350851844724907/404393075388305888*c_0110_4^5 - 27949018390436521347/404393075388305888*c_0110_4^4 - 16796707087576318997/202196537694152944*c_0110_4^3 + 8131628719388387753/50549134423538236*c_0110_4^2 - 37550129018222915415/404393075388305888*c_0110_4 + 1070156265804248007/25274567211769118, c_0011_0 - 1, c_0011_1 - 251086860031919579/50549134423538236*c_0110_4^18 + 448209327337799692/12637283605884559*c_0110_4^17 - 2725642616611030851/50549134423538236*c_0110_4^16 - 95494213418237545/50549134423538236*c_0110_4^15 - 812043267392787925/50549134423538236*c_0110_4^14 - 11499320561331787353/50549134423538236*c_0110_4^13 - 8133503970315769371/50549134423538236*c_0110_4^12 + 11900491777084380993/50549134423538236*c_0110_4^11 + 8492704775312429259/50549134423538236*c_0110_4^10 + 11922615642789174761/50549134423538236*c_0110_4^9 + 2938950432490645385/50549134423538236*c_0110_4^8 - 16029729277555148931/25274567211769118*c_0110_4^7 + 5573210879524534013/25274567211769118*c_0110_4^6 + 7927562790315701839/50549134423538236*c_0110_4^5 + 376820447406072041/50549134423538236*c_0110_4^4 + 5413422272775809037/25274567211769118*c_0110_4^3 - 4186758070314031541/12637283605884559*c_0110_4^2 - 1547133888821612599/50549134423538236*c_0110_4 + 1179441034037352818/12637283605884559, c_0011_3 - 108438032084758397/12637283605884559*c_0110_4^18 + 774487552841486409/12637283605884559*c_0110_4^17 - 1178560267362315675/12637283605884559*c_0110_4^16 - 39067651650547761/12637283605884559*c_0110_4^15 - 351115217113592319/12637283605884559*c_0110_4^14 - 4969324404066141951/12637283605884559*c_0110_4^13 - 3495733321647332233/12637283605884559*c_0110_4^12 + 5155528102145023363/12637283605884559*c_0110_4^11 + 3677494725800786539/12637283605884559*c_0110_4^10 + 5198885589128567196/12637283605884559*c_0110_4^9 + 1319100524138207674/12637283605884559*c_0110_4^8 - 13871584360563546271/12637283605884559*c_0110_4^7 + 4792034221760420876/12637283605884559*c_0110_4^6 + 3399313782366172445/12637283605884559*c_0110_4^5 + 169411550485650091/12637283605884559*c_0110_4^4 + 4730854245847243046/12637283605884559*c_0110_4^3 - 7246742856624366652/12637283605884559*c_0110_4^2 - 697721380053160470/12637283605884559*c_0110_4 + 2025804330136042275/12637283605884559, c_0101_0 - 923990608012366273/101098268847076472*c_0110_4^18 + 1651564277989419665/25274567211769118*c_0110_4^17 - 10089108981292469961/101098268847076472*c_0110_4^16 - 273827923329434915/101098268847076472*c_0110_4^15 - 2982012290425847359/101098268847076472*c_0110_4^14 - 42290315613911104399/101098268847076472*c_0110_4^13 - 29460327772027486053/101098268847076472*c_0110_4^12 + 44317322938816027399/101098268847076472*c_0110_4^11 + 31216286807780136781/101098268847076472*c_0110_4^10 + 44104237169277259135/101098268847076472*c_0110_4^9 + 10752672317360429135/101098268847076472*c_0110_4^8 - 59303225925833220355/50549134423538236*c_0110_4^7 + 20705684295348727201/50549134423538236*c_0110_4^6 + 29031899592369183905/101098268847076472*c_0110_4^5 + 1422499319674172259/101098268847076472*c_0110_4^4 + 20077323414828829615/50549134423538236*c_0110_4^3 - 7753839082316353372/12637283605884559*c_0110_4^2 - 5886000030690419013/101098268847076472*c_0110_4 + 4351316418123579557/25274567211769118, c_0101_5 + 536518486376096291/101098268847076472*c_0110_4^18 - 950141315757265749/25274567211769118*c_0110_4^17 + 5625355344486251451/101098268847076472*c_0110_4^16 + 425826992976480281/101098268847076472*c_0110_4^15 + 1803356700849005437/101098268847076472*c_0110_4^14 + 24860692372883852957/101098268847076472*c_0110_4^13 + 18828289340558490015/101098268847076472*c_0110_4^12 - 23452986341994175661/101098268847076472*c_0110_4^11 - 18086378192677071367/101098268847076472*c_0110_4^10 - 26239308999963430717/101098268847076472*c_0110_4^9 - 8638783357791349133/101098268847076472*c_0110_4^8 + 33466689700842627809/50549134423538236*c_0110_4^7 - 10715030666983003727/50549134423538236*c_0110_4^6 - 16861774386010155563/101098268847076472*c_0110_4^5 - 1084616691106423113/101098268847076472*c_0110_4^4 - 12037815525370122641/50549134423538236*c_0110_4^3 + 4295266278715420899/12637283605884559*c_0110_4^2 + 4149549354557936607/101098268847076472*c_0110_4 - 2357212020845297267/25274567211769118, c_0101_6 - 828980740834736425/50549134423538236*c_0110_4^18 + 1487018979516213541/12637283605884559*c_0110_4^17 - 9183616410582444593/50549134423538236*c_0110_4^16 - 138854796111176899/50549134423538236*c_0110_4^15 - 2538735989911550555/50549134423538236*c_0110_4^14 - 37801418686902535971/50549134423538236*c_0110_4^13 - 25323592505363131461/50549134423538236*c_0110_4^12 + 41349073848943791175/50549134423538236*c_0110_4^11 + 28282952529240150637/50549134423538236*c_0110_4^10 + 38831995365740783371/50549134423538236*c_0110_4^9 + 8095408415043722583/50549134423538236*c_0110_4^8 - 53908103435936482649/25274567211769118*c_0110_4^7 + 19469653182502800897/25274567211769118*c_0110_4^6 + 26508605092250291469/50549134423538236*c_0110_4^5 + 729406967231654855/50549134423538236*c_0110_4^4 + 17805469420255074555/25274567211769118*c_0110_4^3 - 14247368645369224927/12637283605884559*c_0110_4^2 - 4565954461544540925/50549134423538236*c_0110_4 + 4042031865068772112/12637283605884559, c_0110_4^19 - 8*c_0110_4^18 + 17*c_0110_4^17 - 9*c_0110_4^16 + 3*c_0110_4^15 + 43*c_0110_4^14 - 7*c_0110_4^13 - 75*c_0110_4^12 + 7*c_0110_4^11 - 19*c_0110_4^10 + 29*c_0110_4^9 + 138*c_0110_4^8 - 154*c_0110_4^7 + 7*c_0110_4^6 + 25*c_0110_4^5 - 42*c_0110_4^4 + 104*c_0110_4^3 - 51*c_0110_4^2 - 24*c_0110_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB