Magma V2.19-8 Tue Aug 20 2013 16:16:25 on localhost [Seed = 3566553145] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0691 geometric_solution 4.65329615 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 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 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 0.676722467168 0.068809418994 2 0 2 0 0132 2310 1023 0132 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 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 0.860688449344 0.079907241003 1 3 1 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 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 0.781491369623 0.228275465024 4 2 5 2 0132 0132 0132 1023 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 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 1.085554110827 0.934117289250 3 6 5 5 0132 0132 0213 2310 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 -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 0.377011474247 0.738702136808 4 4 6 3 3201 0213 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 0 0 -1 0 0 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 0.377011474247 0.738702136808 6 4 5 6 3012 0132 1023 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 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 1.451873604747 1.073978292631 ==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' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : d['c_0011_5'], '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_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_5'], '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' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], '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_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0011_5'], '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_5, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 6934392912206690289059/1281306937885620828*c_0101_6^23 - 139161733115799463472731/1281306937885620828*c_0101_6^21 - 76462270531103499971083/91521924134687202*c_0101_6^19 + 15780776010023363218082491/640653468942810414*c_0101_6^17 - 62709941174712305685565433/427102312628540276*c_0101_6^15 + 125666607228633275276214524/320326734471405207*c_0101_6^13 - 49036842159596304079819747/91521924134687202*c_0101_6^11 + 160770759821182520953204831/427102312628540276*c_0101_6^9 - 11950736815629468034054001/91521924134687202*c_0101_6^7 + 30628431609691649974503659/1281306937885620828*c_0101_6^5 - 102753425080753978592506/45760962067343601*c_0101_6^3 + 101516360943253137904949/1281306937885620828*c_0101_6, c_0011_0 - 1, c_0011_1 + 627379240756133833/320326734471405207*c_0101_6^22 + 25205093214481321651/640653468942810414*c_0101_6^20 + 194190280732560239633/640653468942810414*c_0101_6^18 - 815301160905513858779/91521924134687202*c_0101_6^16 + 11310867030505739280715/213551156314270138*c_0101_6^14 - 6451977476465615222539/45760962067343601*c_0101_6^12 + 122617130739612803179061/640653468942810414*c_0101_6^10 - 14203153555221407916996/106775578157135069*c_0101_6^8 + 14489683534154625780884/320326734471405207*c_0101_6^6 - 2587388138445820994209/320326734471405207*c_0101_6^4 + 469841608669397582143/640653468942810414*c_0101_6^2 - 7859479200309734974/320326734471405207, c_0011_5 - 553802636632357922/106775578157135069*c_0101_6^23 - 66675261511013054789/640653468942810414*c_0101_6^21 - 512777305400509628789/640653468942810414*c_0101_6^19 + 5041678325867877846601/213551156314270138*c_0101_6^17 - 90183735667539921597235/640653468942810414*c_0101_6^15 + 120527228383482897490886/320326734471405207*c_0101_6^13 - 329355920122800541597355/640653468942810414*c_0101_6^11 + 5509609704391267975028/15253654022447867*c_0101_6^9 - 13346266845766759057654/106775578157135069*c_0101_6^7 + 7239258866004098855941/320326734471405207*c_0101_6^5 - 441146325443934603575/213551156314270138*c_0101_6^3 + 21642067337009365471/320326734471405207*c_0101_6, c_0101_0 - 1358709070354639954/320326734471405207*c_0101_6^23 - 27301460776862488444/320326734471405207*c_0101_6^21 - 140291757538989264725/213551156314270138*c_0101_6^19 + 12357533242222008180467/640653468942810414*c_0101_6^17 - 73410262944863879075627/640653468942810414*c_0101_6^15 + 195123254659376381902987/640653468942810414*c_0101_6^13 - 44016415272668932802609/106775578157135069*c_0101_6^11 + 60793149591617754547673/213551156314270138*c_0101_6^9 - 30536393060595708536078/320326734471405207*c_0101_6^7 + 1762371238134645508444/106775578157135069*c_0101_6^5 - 454590190536764593403/320326734471405207*c_0101_6^3 + 1268634196654554611/30507308044895734*c_0101_6, c_0101_1 + 345271122127387839/213551156314270138*c_0101_6^22 + 10409304121238132629/320326734471405207*c_0101_6^20 + 80269744217646369226/320326734471405207*c_0101_6^18 - 784909147151219363846/106775578157135069*c_0101_6^16 + 27958961367526702852441/640653468942810414*c_0101_6^14 - 74256963430798753876309/640653468942810414*c_0101_6^12 + 100420112141536924340465/640653468942810414*c_0101_6^10 - 11553938847135773113524/106775578157135069*c_0101_6^8 + 3883060203604392699501/106775578157135069*c_0101_6^6 - 4115756310431042018699/640653468942810414*c_0101_6^4 + 123201336541108386265/213551156314270138*c_0101_6^2 - 5877744555941256001/320326734471405207, c_0101_3 + 143958454433261072/106775578157135069*c_0101_6^22 + 8679446615824025381/320326734471405207*c_0101_6^20 + 66920270402653637120/320326734471405207*c_0101_6^18 - 654569059846666157490/106775578157135069*c_0101_6^16 + 11660470158427645309588/320326734471405207*c_0101_6^14 - 30976752818553457625464/320326734471405207*c_0101_6^12 + 41901019845236090702627/320326734471405207*c_0101_6^10 - 9642515283071379082312/106775578157135069*c_0101_6^8 + 3237771815935095222156/106775578157135069*c_0101_6^6 - 1710202216030728741767/320326734471405207*c_0101_6^4 + 51230268041929292326/106775578157135069*c_0101_6^2 - 5090094736577366822/320326734471405207, c_0101_6^24 + 20*c_0101_6^22 + 153*c_0101_6^20 - 4562*c_0101_6^18 + 27441*c_0101_6^16 - 74343*c_0101_6^14 + 103956*c_0101_6^12 - 76321*c_0101_6^10 + 28883*c_0101_6^8 - 6067*c_0101_6^6 + 717*c_0101_6^4 - 43*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB