Magma V2.19-8 Tue Aug 20 2013 16:17:16 on localhost [Seed = 223121883] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1501 geometric_solution 5.30912527 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 1 0 -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 -0.174408101468 0.135605968382 0 0 2 2 0132 2310 2310 0132 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 1 -1 0 -1 0 0 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 2.733122478519 2.681376802319 3 1 1 4 0132 3201 0132 0132 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 0 0 0 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.184224542297 0.454227048007 2 4 6 5 0132 2310 0132 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 1 -1 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 0.002726429753 1.042618446232 6 5 2 3 1023 2310 0132 3201 0 0 0 0 0 -1 1 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 1 0 -1 1 0 -1 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 0.002726429753 1.042618446232 5 5 3 4 1230 3012 0132 3201 0 0 0 0 0 1 0 -1 0 0 0 0 -1 0 0 1 -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 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959087138217 1.044555850104 6 4 6 3 2031 1023 1302 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 -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 0.478669425379 0.480344673318 ==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' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_5'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 30 Groebner basis: [ t + 17252150488945176967929882693/282750089582596100640583171*c_0101_3^\ 14 - 310737516634458318302105734469/848250268747788301921749513*c_0\ 101_3^13 + 1243146044594634530622687435110/848250268747788301921749\ 513*c_0101_3^12 - 5955442082511940895948161261042/84825026874778830\ 1921749513*c_0101_3^11 + 638422165696029665465467102067/84825026874\ 7788301921749513*c_0101_3^10 - 6841251671434798041313359663338/2827\ 50089582596100640583171*c_0101_3^9 - 2835002816107400011628242670675/848250268747788301921749513*c_0101_\ 3^8 + 1446026207626393318560227926719/282750089582596100640583171*c\ _0101_3^7 - 18269282030294693046883963690189/8482502687477883019217\ 49513*c_0101_3^6 + 48477921241592489230202774685470/282750089582596\ 100640583171*c_0101_3^5 - 32975499992390672023694938351248/28275008\ 9582596100640583171*c_0101_3^4 + 1628979236957246544541454138984/28\ 2750089582596100640583171*c_0101_3^3 - 4001929511331682463613749495154/282750089582596100640583171*c_0101_\ 3^2 + 4434495905425791786130092622552/848250268747788301921749513*c\ _0101_3 + 2635535060272945287057935140343/8482502687477883019217495\ 13, c_0011_0 - 1, c_0011_2 - 6245506142145634064899/909164275185196465082261*c_0101_3^14 + 34904097783178342865452/909164275185196465082261*c_0101_3^13 - 135266265397652009990688/909164275185196465082261*c_0101_3^12 + 661401518406585537633385/909164275185196465082261*c_0101_3^11 + 201688634767012648227800/909164275185196465082261*c_0101_3^10 + 2537659803987477854171076/909164275185196465082261*c_0101_3^9 + 1363651263723532195491199/909164275185196465082261*c_0101_3^8 - 123960844277639757608147/909164275185196465082261*c_0101_3^7 + 1958053261847495134648261/909164275185196465082261*c_0101_3^6 - 16925822014520978692789375/909164275185196465082261*c_0101_3^5 + 4761026395829427195440587/909164275185196465082261*c_0101_3^4 + 1955245918466583088192982/909164275185196465082261*c_0101_3^3 + 2715986032281525589822301/909164275185196465082261*c_0101_3^2 + 1263059159204268820421376/909164275185196465082261*c_0101_3 - 391079646264203587760933/909164275185196465082261, c_0011_4 - 3754012430185904759545835/282750089582596100640583171*c_0011\ _5*c_0101_3^14 + 26191250870618456907261177/28275008958259610064058\ 3171*c_0011_5*c_0101_3^13 - 110525061363626766977041619/28275008958\ 2596100640583171*c_0011_5*c_0101_3^12 + 511307734912356793980310336/282750089582596100640583171*c_0011_5*c_\ 0101_3^11 - 434193124425674559825679023/282750089582596100640583171\ *c_0011_5*c_0101_3^10 + 1373032917911928142012179713/28275008958259\ 6100640583171*c_0011_5*c_0101_3^9 - 1326299648838193840254616172/282750089582596100640583171*c_0011_5*c\ _0101_3^8 - 1220821219672048534718860589/28275008958259610064058317\ 1*c_0011_5*c_0101_3^7 + 1051472027074581227270315707/28275008958259\ 6100640583171*c_0011_5*c_0101_3^6 - 12213333782861692544584703435/282750089582596100640583171*c_0011_5*\ c_0101_3^5 + 16547378564167061427283837810/282750089582596100640583\ 171*c_0011_5*c_0101_3^4 - 3608458202902754860838470189/282750089582\ 596100640583171*c_0011_5*c_0101_3^3 + 513985936727292134441844746/282750089582596100640583171*c_0011_5*c_\ 0101_3^2 - 983506073500509088858570027/282750089582596100640583171*\ c_0011_5*c_0101_3 - 305284969109707799500460777/2827500895825961006\ 40583171*c_0011_5, c_0011_5^2 - 955597879470715641812483/565500179165192201281166342*c_010\ 1_3^14 + 3735808511160828224772735/565500179165192201281166342*c_01\ 01_3^13 - 12389856730232121782401605/565500179165192201281166342*c_\ 0101_3^12 + 34675442305868177676444507/282750089582596100640583171*\ c_0101_3^11 + 95002630387227558495895437/28275008958259610064058317\ 1*c_0101_3^10 + 497342173805119080683992565/56550017916519220128116\ 6342*c_0101_3^9 + 949536061815137043046148791/565500179165192201281\ 166342*c_0101_3^8 + 708894277782481267336762563/5655001791651922012\ 81166342*c_0101_3^7 + 810222847280394745596676217/56550017916519220\ 1281166342*c_0101_3^6 - 735919784198097806051605132/282750089582596\ 100640583171*c_0101_3^5 - 1515987152369306543969318595/282750089582\ 596100640583171*c_0101_3^4 + 431290722553002600603632681/5655001791\ 65192201281166342*c_0101_3^3 - 141404918426018662232808410/28275008\ 9582596100640583171*c_0101_3^2 + 52231748353180202126779264/2827500\ 89582596100640583171*c_0101_3 - 52070487333767717404116721/56550017\ 9165192201281166342, c_0101_0 + 9058331122722891420558325/282750089582596100640583171*c_0101\ _3^14 - 52080729642511395371992557/282750089582596100640583171*c_01\ 01_3^13 + 205442342575718019009512357/282750089582596100640583171*c\ _0101_3^12 - 995959327523997446754614207/28275008958259610064058317\ 1*c_0101_3^11 - 119013986999345884437171236/28275008958259610064058\ 3171*c_0101_3^10 - 3734602029221642202995075253/2827500895825961006\ 40583171*c_0101_3^9 - 1512333559613808647959830104/2827500895825961\ 00640583171*c_0101_3^8 - 115981411023887818144155724/28275008958259\ 6100640583171*c_0101_3^7 - 3631036126209875539983234232/28275008958\ 2596100640583171*c_0101_3^6 + 24335641276925876727443190449/2827500\ 89582596100640583171*c_0101_3^5 - 11659445139817742673009458385/282\ 750089582596100640583171*c_0101_3^4 + 659447907598502712109448070/282750089582596100640583171*c_0101_3^3 - 2266937809030918138428521965/282750089582596100640583171*c_0101_3^2 + 182349739217437590674965466/282750089582596100640583171*c_0101_3 + 129117602344851892513064586/282750089582596100640583171, c_0101_1 + 4699919927221351967312/909164275185196465082261*c_0101_3^14 - 26206074264984122095870/909164275185196465082261*c_0101_3^13 + 101468053540636675092307/909164275185196465082261*c_0101_3^12 - 496525834335719635680025/909164275185196465082261*c_0101_3^11 - 157590373371384857881513/909164275185196465082261*c_0101_3^10 - 1914048341738720592910923/909164275185196465082261*c_0101_3^9 - 1047476181143227181609435/909164275185196465082261*c_0101_3^8 + 76686650975620393373167/909164275185196465082261*c_0101_3^7 - 1508897257149338131722187/909164275185196465082261*c_0101_3^6 + 12785646839149120931845140/909164275185196465082261*c_0101_3^5 - 3545481348650813586943730/909164275185196465082261*c_0101_3^4 - 1445608243010232704039530/909164275185196465082261*c_0101_3^3 - 2023184670966012364530851/909164275185196465082261*c_0101_3^2 - 738979615919901320105502/909164275185196465082261*c_0101_3 + 718917674263543513727267/909164275185196465082261, c_0101_3^15 - 6*c_0101_3^14 + 24*c_0101_3^13 - 115*c_0101_3^12 + 12*c_0101_3^11 - 397*c_0101_3^10 - 56*c_0101_3^9 + 82*c_0101_3^8 - 352*c_0101_3^7 + 2809*c_0101_3^6 - 1902*c_0101_3^5 + 99*c_0101_3^4 - 245*c_0101_3^3 + 90*c_0101_3^2 + 49*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB