Magma V2.19-8 Tue Aug 20 2013 16:17:02 on localhost [Seed = 2901225598] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1281 geometric_solution 5.17532851 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 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 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 0.198208251729 0.321456297760 2 0 3 0 0132 2310 0132 0132 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 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 1.412033431617 1.932468850942 1 4 4 5 0132 0132 1023 0132 0 0 0 0 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 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 0.181630385931 0.408006408292 5 4 4 1 0132 2310 3201 0132 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 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 0.181630385931 0.408006408292 3 2 2 3 2310 0132 1023 3201 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 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 1.089384063368 2.045567076970 3 6 2 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.740247279377 2.105766594254 5 5 6 6 3201 0132 2031 1302 0 0 0 0 0 0 -1 1 0 0 -1 1 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 0 1 -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 0.394259461945 0.181909862332 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(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_0101_0']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0101_0']), 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0101_4'], '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_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_1'], '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_0'], 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], '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_1, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 63974998685473827961202/39195646279516650065065*c_0110_6^13 + 10763464734062711809899/5599378039930950009295*c_0110_6^12 + 765213251041046933616864/39195646279516650065065*c_0110_6^11 - 411612653392521798595443/7839129255903330013013*c_0110_6^10 - 342629187124569959342623/39195646279516650065065*c_0110_6^9 + 1119860851707612347641151/7839129255903330013013*c_0110_6^8 - 42663574494448791416345361/78391292559033300130130*c_0110_6^7 + 719823654614795062258202/955991372671137806465*c_0110_6^6 - 43902636704185642325767697/78391292559033300130130*c_0110_6^5 + 27880884375994498079751717/39195646279516650065065*c_0110_6^4 - 1305780492224973511512483/2239751215972380003718*c_0110_6^3 + 3793928831579012705780869/78391292559033300130130*c_0110_6^2 - 752944970765973860446263/78391292559033300130130*c_0110_6 + 76447256689479176377067/955991372671137806465, c_0011_0 - 1, c_0011_1 - 734958525459/38337699740161*c_0110_6^13 + 723306670253/38337699740161*c_0110_6^12 + 8707256360982/38337699740161*c_0110_6^11 - 21821710351759/38337699740161*c_0110_6^10 - 5576196187678/38337699740161*c_0110_6^9 + 57493324028476/38337699740161*c_0110_6^8 - 236271838387072/38337699740161*c_0110_6^7 + 7549831438409/935065847321*c_0110_6^6 - 264812324341621/38337699740161*c_0110_6^5 + 335066088687705/38337699740161*c_0110_6^4 - 262743367610083/38337699740161*c_0110_6^3 + 44038972600504/38337699740161*c_0110_6^2 - 30709018372490/38337699740161*c_0110_6 + 1665262187975/935065847321, c_0011_3 + 3695600318699002/45813551189492395*c_0110_6^13 - 4924044921443136/45813551189492395*c_0110_6^12 - 43833089772210781/45813551189492395*c_0110_6^11 + 25102199973693540/9162710237898479*c_0110_6^10 + 5074816969370008/45813551189492395*c_0110_6^9 - 329323564315554712/45813551189492395*c_0110_6^8 + 1269950953289113447/45813551189492395*c_0110_6^7 - 45953728380194352/1117403687548595*c_0110_6^6 + 1464954377992461064/45813551189492395*c_0110_6^5 - 1825411915428274072/45813551189492395*c_0110_6^4 + 1561536139354426313/45813551189492395*c_0110_6^3 - 221393654658672418/45813551189492395*c_0110_6^2 + 47893534862691894/45813551189492395*c_0110_6 - 4468090488439753/1117403687548595, c_0101_0 + 3324065077241091/45813551189492395*c_0110_6^13 - 3753755574029198/45813551189492395*c_0110_6^12 - 40054335084923123/45813551189492395*c_0110_6^11 + 21006270816472366/9162710237898479*c_0110_6^10 + 24417368147721594/45813551189492395*c_0110_6^9 - 292141885883995031/45813551189492395*c_0110_6^8 + 1089719332546574626/45813551189492395*c_0110_6^7 - 35883716421815936/1117403687548595*c_0110_6^6 + 1044185892660953002/45813551189492395*c_0110_6^5 - 1378994846297995766/45813551189492395*c_0110_6^4 + 1135755498749477764/45813551189492395*c_0110_6^3 - 25663342949174629/45813551189492395*c_0110_6^2 + 16758836437038282/45813551189492395*c_0110_6 - 4309287899216079/1117403687548595, c_0101_1 + 674227935102/38337699740161*c_0110_6^13 - 825703054648/38337699740161*c_0110_6^12 - 7719839693833/38337699740161*c_0110_6^11 + 21917374483647/38337699740161*c_0110_6^10 - 893233552219/38337699740161*c_0110_6^9 - 51684634632983/38337699740161*c_0110_6^8 + 230210050659856/38337699740161*c_0110_6^7 - 8303276076035/935065847321*c_0110_6^6 + 349446626126117/38337699740161*c_0110_6^5 - 408509019056704/38337699740161*c_0110_6^4 + 356477247401348/38337699740161*c_0110_6^3 - 111991118649405/38337699740161*c_0110_6^2 + 61426556052860/38337699740161*c_0110_6 - 1653694471900/935065847321, c_0101_4 + 719990735098557/45813551189492395*c_0110_6^13 - 2047837133834496/45813551189492395*c_0110_6^12 - 8000401299260341/45813551189492395*c_0110_6^11 + 7505097136561375/9162710237898479*c_0110_6^10 - 24785683612096182/45813551189492395*c_0110_6^9 - 83674704468998772/45813551189492395*c_0110_6^8 + 319322609628189132/45813551189492395*c_0110_6^7 - 16697478667729517/1117403687548595*c_0110_6^6 + 604079432465751014/45813551189492395*c_0110_6^5 - 619969667720663712/45813551189492395*c_0110_6^4 + 714946493604501808/45813551189492395*c_0110_6^3 - 209522579420715653/45813551189492395*c_0110_6^2 + 17960251622752564/45813551189492395*c_0110_6 - 2441026252720703/1117403687548595, c_0110_6^14 - 2*c_0110_6^13 - 11*c_0110_6^12 + 42*c_0110_6^11 - 21*c_0110_6^10 - 92*c_0110_6^9 + 405*c_0110_6^8 - 735*c_0110_6^7 + 721*c_0110_6^6 - 719*c_0110_6^5 + 718*c_0110_6^4 - 325*c_0110_6^3 + 33*c_0110_6^2 - 57*c_0110_6 + 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB