Magma V2.19-8 Tue Aug 20 2013 16:18:50 on localhost [Seed = 2699115998] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2990 geometric_solution 6.16906207 oriented_manifold CS_known 0.0000000000000001 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 0.412246441012 0.201863684954 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 0.631160679077 0.756216262864 1 4 3 5 0132 0132 3012 0132 0 0 0 0 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 -1 1 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 1.124457313611 1.368848427783 5 2 6 1 3201 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 -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 0 1 -1 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 1.124457313611 1.368848427783 6 2 6 5 2310 0132 3201 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 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 0.341266584799 0.773990973448 6 4 2 3 1302 1302 0132 2310 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 0 0 0 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.517400854921 0.528274512348 4 5 4 3 2310 2031 3201 0132 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 1 0 -1 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 0.341266584799 0.773990973448 ==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' : 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' : negation(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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_1']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : negation(d['c_0011_6']), 's_3_6' : 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' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_6']), '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_6'], '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' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : negation(d['c_0101_6']), '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_0011_6, c_0101_0, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 4835062702463052594636524353467/55157246652057208046429267800*c_010\ 1_6^21 - 457827096743089038518250756623041/110314493304114416092858\ 535600*c_0101_6^19 - 3992493717578623655873777172998063/11031449330\ 4114416092858535600*c_0101_6^17 + 154368827209019604023965471879449\ 7/13789311663014302011607316950*c_0101_6^15 + 119944336173432313059742315189685721/110314493304114416092858535600\ *c_0101_6^13 - 419376652990238028591686200034354887/110314493304114\ 416092858535600*c_0101_6^11 + 463732811515870983213665783141190901/\ 110314493304114416092858535600*c_0101_6^9 + 44669080831251310241662779695137/1161205192674888590451142480*c_010\ 1_6^7 + 8097694729818994397783530102619643/275786233260286040232146\ 33900*c_0101_6^5 - 1797753050726428642514855056846143/5515724665205\ 7208046429267800*c_0101_6^3 - 3050028882367018700422634146553/27578\ 623326028604023214633900*c_0101_6, c_0011_0 - 1, c_0011_1 - 63035840482462555020518657/1969901666144900287372473850*c_01\ 01_6^20 + 5970563739989753118848786211/3939803332289800574744947700\ *c_0101_6^18 + 51967349344169892407810739073/3939803332289800574744\ 947700*c_0101_6^16 - 80862416886123392410611334423/1969901666144900\ 287372473850*c_0101_6^14 - 1561418589766188226121656777291/39398033\ 32289800574744947700*c_0101_6^12 + 5489256258148341748097316347077/3939803332289800574744947700*c_0101\ _6^10 - 6124363863086255361501772632721/393980333228980057474494770\ 0*c_0101_6^8 + 363635171957404186799661953/414716140241031639446836\ 60*c_0101_6^6 - 213000041463279847018537876081/19699016661449002873\ 72473850*c_0101_6^4 + 27752539471588931482639275853/196990166614490\ 0287372473850*c_0101_6^2 - 710668291301184365960971787/984950833072\ 450143686236925, c_0011_3 + 282901277838626864383923582/984950833072450143686236925*c_01\ 01_6^21 - 13398763736424602937758243743/984950833072450143686236925\ *c_0101_6^19 - 116566957634566177002814550774/984950833072450143686\ 236925*c_0101_6^17 + 363336091597963913064482888598/984950833072450\ 143686236925*c_0101_6^15 + 3502722430374525007517571592708/98495083\ 3072450143686236925*c_0101_6^13 - 12330494328831873411208390462151/\ 984950833072450143686236925*c_0101_6^11 + 13779738545991415893981081274123/984950833072450143686236925*c_0101\ _6^9 - 1130158775212241211953872619/10367903506025790986170915*c_01\ 01_6^7 + 937590858164993682751903261056/984950833072450143686236925\ *c_0101_6^5 - 120126551209354799618615099503/9849508330724501436862\ 36925*c_0101_6^3 + 1093834572217007787533740899/9849508330724501436\ 86236925*c_0101_6, c_0011_6 + 2796378445113326319231845/39398033322898005747449477*c_0101_\ 6^20 - 264912024845381083542061787/78796066645796011494898954*c_010\ 1_6^18 - 2303115956214628495890470679/78796066645796011494898954*c_\ 0101_6^16 + 3597131606435447858706669175/39398033322898005747449477\ *c_0101_6^14 + 69209082090808230850732979807/7879606664579601149489\ 8954*c_0101_6^12 - 244105827710693179367651560547/78796066645796011\ 494898954*c_0101_6^10 + 273674365244821652067981383907/787960666457\ 96011494898954*c_0101_6^8 - 193993078252769409211692641/41471614024\ 10316394468366*c_0101_6^6 + 9453719775228917413981025497/3939803332\ 2898005747449477*c_0101_6^4 - 1303789926274240914398735055/39398033\ 322898005747449477*c_0101_6^2 + 16817613024500750534338216/39398033\ 322898005747449477, c_0101_0 + 360030853638553777376451351/1969901666144900287372473850*c_0\ 101_6^20 - 34155688863006993846925113473/39398033322898005747449477\ 00*c_0101_6^18 - 294226797739582160847000540589/3939803332289800574\ 744947700*c_0101_6^16 + 236585008293829986994780089532/984950833072\ 450143686236925*c_0101_6^14 + 8849002039255160760786701949913/39398\ 03332289800574744947700*c_0101_6^12 - 32031754189143025382115997510961/3939803332289800574744947700*c_010\ 1_6^10 + 37328607925665034523944013769553/3939803332289800574744947\ 700*c_0101_6^8 - 29022415468169739878941245329/41471614024103163944\ 683660*c_0101_6^6 + 587993742285837731062815053854/9849508330724501\ 43686236925*c_0101_6^4 - 243938517539412803572215674779/19699016661\ 44900287372473850*c_0101_6^2 + 5557789263926653715355180766/9849508\ 33072450143686236925, c_0101_3 + c_0101_6, c_0101_6^22 - 95/2*c_0101_6^20 - 811/2*c_0101_6^18 + 1341*c_0101_6^16 + 24405/2*c_0101_6^14 - 90579/2*c_0101_6^12 + 109549/2*c_0101_6^10 - 14563/2*c_0101_6^8 + 3573*c_0101_6^6 - 892*c_0101_6^4 + 76*c_0101_6^2 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB