Magma V2.19-8 Tue Aug 20 2013 16:16:09 on localhost [Seed = 2850567529] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0412 geometric_solution 4.47405218 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 1023 2310 0 0 0 0 0 0 -1 1 1 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 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 0.915790765716 0.068694902925 0 3 0 3 0132 0132 1023 1023 0 0 0 0 0 0 1 -1 -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 0 0 0 0 0 0 0 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 0.896885269844 0.142190378724 0 0 2 2 3201 0132 1230 3012 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 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 0.729230435376 0.080055205715 4 1 5 1 0132 0132 0132 1023 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 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 0.981457921624 0.343757348125 3 5 5 6 0132 0213 3012 0132 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 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 0.851853223323 0.775874454728 6 4 4 3 1023 1230 0213 0132 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 1 0 -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 0.851853223323 0.775874454728 6 5 4 6 3012 1023 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758299983979 1.143113732750 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0110_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_5'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : negation(d['c_0110_2'])})} 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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 29 Groebner basis: [ t - 11819113899399/13376*c_0110_2^28 + 242570576666401/13376*c_0110_2^27 - 1805082166277909/13376*c_0110_2^26 + 4580455961575243/13376*c_0110_2^25 + 54748251947795/76*c_0110_2^24 - 17112383237679369/3344*c_0110_2^23 + 31166174678721345/13376*c_0110_2^22 + 93218676335159783/3344*c_0110_2^21 - 365342609961116853/13376*c_0110_2^20 - 80340624341848133/836*c_0110_2^19 + 592618743601819213/6688*c_0110_2^18 + 1638793541446471687/6688*c_0110_2^17 - 401067655609237389/3344*c_0110_2^16 - 308711974800039597/704*c_0110_2^15 - 93381657811338563/13376*c_0110_2^14 + 6458502216493887907/13376*c_0110_2^13 + 3046190638041728567/13376*c_0110_2^12 - 3461331383064306073/13376*c_0110_2^11 - 114332646083398795/418*c_0110_2^10 - 22514179643679467/6688*c_0110_2^9 + 1577752533675025933/13376*c_0110_2^8 + 853073949282908751/13376*c_0110_2^7 - 4119669691686217/6688*c_0110_2^6 - 208809687192090855/13376*c_0110_2^5 - 113124727181567863/13376*c_0110_2^4 - 31793944881119031/13376*c_0110_2^3 - 2625474282819855/6688*c_0110_2^2 - 484964031999923/13376*c_0110_2 - 19452513020637/13376, c_0011_0 - 1, c_0011_5 + 22781269513/4*c_0110_2^28 - 463478921171/4*c_0110_2^27 + 3394715044227/4*c_0110_2^26 - 8186845396857/4*c_0110_2^25 - 5075298449813*c_0110_2^24 + 32254098193921*c_0110_2^23 - 35794587695247/4*c_0110_2^22 - 183777556932086*c_0110_2^21 + 579454208507691/4*c_0110_2^20 + 658178400177998*c_0110_2^19 - 938709636071013/2*c_0110_2^18 - 3410544494049065/2*c_0110_2^17 + 519839454376312*c_0110_2^16 + 12095201604220333/4*c_0110_2^15 + 2018774045602801/4*c_0110_2^14 - 12845644349286993/4*c_0110_2^13 - 8006661706262829/4*c_0110_2^12 + 6119600442337467/4*c_0110_2^11 + 2093816341618006*c_0110_2^10 + 519884489431595/2*c_0110_2^9 - 3248570030658099/4*c_0110_2^8 - 2140268568126841/4*c_0110_2^7 - 81188522092801/2*c_0110_2^6 + 447125120107453/4*c_0110_2^5 + 279672221806549/4*c_0110_2^4 + 85877135435197/4*c_0110_2^3 + 7660847723545/2*c_0110_2^2 + 1525192116249/4*c_0110_2 + 66010277251/4, c_0101_0 - c_0110_2^28 + 20*c_0110_2^27 - 142*c_0110_2^26 + 308*c_0110_2^25 + 1015*c_0110_2^24 - 5356*c_0110_2^23 - 381*c_0110_2^22 + 32809*c_0110_2^21 - 14311*c_0110_2^20 - 124329*c_0110_2^19 + 42566*c_0110_2^18 + 327812*c_0110_2^17 + 11962*c_0110_2^16 - 562357*c_0110_2^15 - 271672*c_0110_2^14 + 533254*c_0110_2^13 + 545856*c_0110_2^12 - 147388*c_0110_2^11 - 460221*c_0110_2^10 - 172426*c_0110_2^9 + 126829*c_0110_2^8 + 143114*c_0110_2^7 + 39533*c_0110_2^6 - 17163*c_0110_2^5 - 19044*c_0110_2^4 - 8004*c_0110_2^3 - 1973*c_0110_2^2 - 300*c_0110_2 - 25, c_0101_1 + 4756447417/2*c_0110_2^28 - 96817679201/2*c_0110_2^27 + 709789409771/2*c_0110_2^26 - 1716983277487/2*c_0110_2^25 - 2109122413629*c_0110_2^24 + 13486657157184*c_0110_2^23 - 7764199659525/2*c_0110_2^22 - 76649764679441*c_0110_2^21 + 122498428992567/2*c_0110_2^20 + 273940878062517*c_0110_2^19 - 198497749265251*c_0110_2^18 - 709150387531426*c_0110_2^17 + 223348764370742*c_0110_2^16 + 2516298846868363/2*c_0110_2^15 + 398741423004189/2*c_0110_2^14 - 2678096818658075/2*c_0110_2^13 - 1645464095065565/2*c_0110_2^12 + 1285405764338403/2*c_0110_2^11 + 866338504854617*c_0110_2^10 + 102432571411280*c_0110_2^9 - 676055308484311/2*c_0110_2^8 - 440668538120323/2*c_0110_2^7 - 15773111282978*c_0110_2^6 + 92846405561353/2*c_0110_2^5 + 57613859069017/2*c_0110_2^4 + 17611067095201/2*c_0110_2^3 + 1565104469738*c_0110_2^2 + 310498805493/2*c_0110_2 + 13392260603/2, c_0101_3 + 2550*c_0110_2^28 - 51275*c_0110_2^27 + 367622*c_0110_2^26 - 824891*c_0110_2^25 - 2500406*c_0110_2^24 + 13930007*c_0110_2^23 - 523372*c_0110_2^22 - 83648878*c_0110_2^21 + 45518551*c_0110_2^20 + 312381246*c_0110_2^19 - 142386124*c_0110_2^18 - 821494023*c_0110_2^17 + 58584419*c_0110_2^16 + 1430130602*c_0110_2^15 + 538180073*c_0110_2^14 - 1422123684*c_0110_2^13 - 1239873523*c_0110_2^12 + 513946540*c_0110_2^11 + 1121556272*c_0110_2^10 + 316913917*c_0110_2^9 - 360853626*c_0110_2^8 - 326729574*c_0110_2^7 - 64415464*c_0110_2^6 + 51615546*c_0110_2^5 + 43115763*c_0110_2^4 + 15590219*c_0110_2^3 + 3231855*c_0110_2^2 + 376920*c_0110_2 + 19475, c_0101_4 + 5585520727*c_0110_2^28 - 113694597867*c_0110_2^27 + 833533064049*c_0110_2^26 - 2016454510960*c_0110_2^25 - 4952891011002*c_0110_2^24 + 31675252581202*c_0110_2^23 - 9124588670218*c_0110_2^22 - 180010415278362*c_0110_2^21 + 143878618498545*c_0110_2^20 + 643312574961024*c_0110_2^19 - 466260234081734*c_0110_2^18 - 1665305734716930*c_0110_2^17 + 524694066243114*c_0110_2^16 + 2954509823637111*c_0110_2^15 + 467985244649386*c_0110_2^14 - 3144464188089318*c_0110_2^13 - 1931901259077686*c_0110_2^12 + 1509197028438527*c_0110_2^11 + 2034348869727361*c_0110_2^10 + 240608477375656*c_0110_2^9 - 793723751919281*c_0110_2^8 - 517430746775781*c_0110_2^7 - 37079243327502*c_0110_2^6 + 109005725280143*c_0110_2^5 + 67653733825398*c_0110_2^4 + 20683196938487*c_0110_2^3 + 3676882136450*c_0110_2^2 + 364798164512*c_0110_2 + 15737915869, c_0110_2^29 - 20*c_0110_2^28 + 142*c_0110_2^27 - 308*c_0110_2^26 - 1015*c_0110_2^25 + 5356*c_0110_2^24 + 381*c_0110_2^23 - 32809*c_0110_2^22 + 14311*c_0110_2^21 + 124329*c_0110_2^20 - 42566*c_0110_2^19 - 327812*c_0110_2^18 - 11962*c_0110_2^17 + 562357*c_0110_2^16 + 271672*c_0110_2^15 - 533254*c_0110_2^14 - 545856*c_0110_2^13 + 147388*c_0110_2^12 + 460221*c_0110_2^11 + 172426*c_0110_2^10 - 126829*c_0110_2^9 - 143114*c_0110_2^8 - 39533*c_0110_2^7 + 17163*c_0110_2^6 + 19044*c_0110_2^5 + 8004*c_0110_2^4 + 1973*c_0110_2^3 + 299*c_0110_2^2 + 26*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB