Magma V2.19-8 Tue Aug 20 2013 16:14:21 on localhost [Seed = 1157945700] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s341 geometric_solution 4.54097251 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 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 0.503105993420 0.181559076621 2 0 2 0 0132 2310 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.738269999262 0.453086813249 1 3 1 4 0132 0132 1023 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 0 -1 1 1 0 -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 2.039979013785 0.786356272656 4 2 5 4 3012 0132 0132 3120 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 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 0.667059206361 0.640664459880 3 5 2 3 3120 0132 0132 1230 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 -1 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 0.667059206361 0.640664459880 5 4 5 3 2310 0132 3201 0132 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 -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 0.839074357630 0.438831455443 ==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_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_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_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_3'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_1'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_1001_3'], '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 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_3, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 228300295993089196791801/67858786283119481565293*c_1001_3^12 + 10819408131682264386362036/203576358849358444695879*c_1001_3^11 + 69032092247384174806126298/203576358849358444695879*c_1001_3^10 + 114717538672051062861581614/203576358849358444695879*c_1001_3^9 - 371487109761007394125832102/203576358849358444695879*c_1001_3^8 - 984448275822618122727465197/203576358849358444695879*c_1001_3^7 + 962797093144536135281545906/203576358849358444695879*c_1001_3^6 + 1174067258797879493427309193/203576358849358444695879*c_1001_3^5 - 785886376855944881261663911/203576358849358444695879*c_1001_3^4 - 99705643565011951129324874/203576358849358444695879*c_1001_3^3 + 252014438342471536771242421/203576358849358444695879*c_1001_3^2 - 82255359889609660208141368/67858786283119481565293*c_1001_3 - 87564762018555317965712255/203576358849358444695879, c_0011_0 - 1, c_0011_1 - 436055268473026400/9694112326159925937899*c_1001_3^12 - 38741406161414185014/9694112326159925937899*c_1001_3^11 - 533715977925046101522/9694112326159925937899*c_1001_3^10 - 3112709933770007383245/9694112326159925937899*c_1001_3^9 - 4381252393737634935180/9694112326159925937899*c_1001_3^8 + 16197792228011699024642/9694112326159925937899*c_1001_3^7 + 31857918880919776057052/9694112326159925937899*c_1001_3^6 - 43966434980608520616601/9694112326159925937899*c_1001_3^5 + 10071886289049915904097/9694112326159925937899*c_1001_3^4 + 3231751991368408592000/9694112326159925937899*c_1001_3^3 - 11626456985815173081574/9694112326159925937899*c_1001_3^2 - 1135000403129059907088/9694112326159925937899*c_1001_3 - 4379596447451882681630/9694112326159925937899, c_0011_4 + 211539737508041753419/9694112326159925937899*c_1001_3^12 + 3235877922468885035675/9694112326159925937899*c_1001_3^11 + 19779486899397001338466/9694112326159925937899*c_1001_3^10 + 26745596660859796671506/9694112326159925937899*c_1001_3^9 - 120385588814392826196984/9694112326159925937899*c_1001_3^8 - 230329868648569927579585/9694112326159925937899*c_1001_3^7 + 377883847983135351667317/9694112326159925937899*c_1001_3^6 + 81413925629890860758150/9694112326159925937899*c_1001_3^5 - 198374814975359663235639/9694112326159925937899*c_1001_3^4 + 93871685439288359187066/9694112326159925937899*c_1001_3^3 - 1746671356113625198164/9694112326159925937899*c_1001_3^2 - 36853142225372048289762/9694112326159925937899*c_1001_3 - 7882493795418202210897/9694112326159925937899, c_0101_0 + 224967971997576524389/9694112326159925937899*c_1001_3^12 + 3454501701507703532909/9694112326159925937899*c_1001_3^11 + 21230195890959400241077/9694112326159925937899*c_1001_3^10 + 29556892052630170219959/9694112326159925937899*c_1001_3^9 - 127254244840449622429936/9694112326159925937899*c_1001_3^8 - 254971917472518593719964/9694112326159925937899*c_1001_3^7 + 388208263759359450558321/9694112326159925937899*c_1001_3^6 + 124239305013060475859663/9694112326159925937899*c_1001_3^5 - 194711405535117033997081/9694112326159925937899*c_1001_3^4 + 74657352001119353725143/9694112326159925937899*c_1001_3^3 - 13207898333291358135584/9694112326159925937899*c_1001_3^2 - 35414484763039592366968/9694112326159925937899*c_1001_3 - 11442457813183192701096/9694112326159925937899, c_0101_3 - 262180915018226083951/9694112326159925937899*c_1001_3^12 - 4010327417992224998155/9694112326159925937899*c_1001_3^11 - 24467173630642682552420/9694112326159925937899*c_1001_3^10 - 32410748565386426093564/9694112326159925937899*c_1001_3^9 + 154048422319883237663190/9694112326159925937899*c_1001_3^8 + 295584281169066411593668/9694112326159925937899*c_1001_3^7 - 483073961952448585321312/9694112326159925937899*c_1001_3^6 - 159840099376922514899238/9694112326159925937899*c_1001_3^5 + 264348784894528073680816/9694112326159925937899*c_1001_3^4 - 97081465014158315633092/9694112326159925937899*c_1001_3^3 + 749789837331340042500/9694112326159925937899*c_1001_3^2 + 67895290133117941076482/9694112326159925937899*c_1001_3 + 11489061899797499412728/9694112326159925937899, c_1001_3^13 + 16*c_1001_3^12 + 104*c_1001_3^11 + 188*c_1001_3^10 - 508*c_1001_3^9 - 1546*c_1001_3^8 + 1115*c_1001_3^7 + 1993*c_1001_3^6 - 811*c_1001_3^5 - 373*c_1001_3^4 + 351*c_1001_3^3 - 289*c_1001_3^2 - 201*c_1001_3 - 21 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB