Magma V2.19-8 Tue Aug 20 2013 23:38:29 on localhost [Seed = 1646528095] Type ? for help. Type -D to quit. Loading file "K14n6024__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n6024 geometric_solution 9.48716106 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 3 0132 0132 0132 2031 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 1 0 -1 0 0 0 0 20 -19 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.126877214232 0.967011902842 0 4 2 5 0132 0132 1023 0132 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 -1 1 1 -1 0 0 -20 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497487181407 0.681261994736 6 0 1 3 0132 0132 1023 1302 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 -1 1 0 0 0 0 0 0 0 0 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172768621211 1.688640252962 6 0 2 0 2031 1302 2031 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 0 0 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866614906759 1.016612585698 7 1 8 9 0132 0132 0132 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 -1 1 0 0 0 0 20 -20 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739122667494 0.611903645090 8 9 1 9 1023 2031 0132 0213 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 1 0 -1 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452680621522 0.704203991486 2 8 3 9 0132 0213 1302 2031 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 0 0 0 0 0 1 -1 19 0 0 -19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497487181407 0.681261994736 4 8 7 7 0132 2031 1230 3012 0 0 0 0 0 -1 0 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 20 0 -20 0 0 0 0 0 0 0 0 -20 0 20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621282885383 0.439743578053 7 5 6 4 1302 1023 0213 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 -1 0 1 0 0 0 0 -20 19 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.197241361575 0.664586486902 5 6 4 5 1302 1302 0132 0213 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 1 -1 0 0 0 0 0 0 0 0 0 -19 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354072829834 1.004824306176 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : d['c_0101_0'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_0011_3'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : d['c_0101_0'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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' : negation(d['1']), 'c_1100_9' : d['c_0011_9'], 'c_1100_8' : d['c_0011_9'], 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_0011_9'], 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : d['c_0101_3'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0101_3'], 'c_1010_7' : d['c_0011_5'], 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_5'], 'c_1010_0' : d['c_0011_3'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0110_5'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_5'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : d['c_0011_0'], 'c_0110_9' : negation(d['c_0110_5']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0110_5, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t - 54539278728412311145280/142941150666204353073*c_1001_0^19 - 56381108857801099095935/31764700148045411794*c_1001_0^18 - 111778084627619512417693/47647050222068117691*c_1001_0^17 + 118885755894479199703919/285882301332408706146*c_1001_0^16 - 7152550471774050731585/31764700148045411794*c_1001_0^15 - 1622178069923075032167325/142941150666204353073*c_1001_0^14 - 2950786475654868880504387/142941150666204353073*c_1001_0^13 - 4365131201712315463595065/285882301332408706146*c_1001_0^12 - 1593754558618637295527515/285882301332408706146*c_1001_0^11 + 8389158473375384907655/10995473128169565621*c_1001_0^10 - 956922761756137228023553/285882301332408706146*c_1001_0^9 - 4932455469437452374915385/142941150666204353073*c_1001_0^8 - 174655994404070678478959/2443438472926570138*c_1001_0^7 - 7093660027242800367841307/95294100444136235382*c_1001_0^6 - 7387510187310916265088493/142941150666204353073*c_1001_0^5 - 490806241215801010498760/15882350074022705897*c_1001_0^4 - 2018774976570514975621678/142941150666204353073*c_1001_0^3 - 216152439440636946473302/47647050222068117691*c_1001_0^2 - 210571675963127906373218/142941150666204353073*c_1001_0 - 31177519114467943089935/142941150666204353073, c_0011_0 - 1, c_0011_3 - 11762600955897830135/15882350074022705897*c_1001_0^19 - 96360574789049374335/31764700148045411794*c_1001_0^18 - 95186839966952991511/31764700148045411794*c_1001_0^17 + 65146489888084146649/31764700148045411794*c_1001_0^16 - 52802767367541645137/31764700148045411794*c_1001_0^15 - 323738625646260733994/15882350074022705897*c_1001_0^14 - 469279142793176615468/15882350074022705897*c_1001_0^13 - 263879583049830193698/15882350074022705897*c_1001_0^12 - 56077136021865822748/15882350074022705897*c_1001_0^11 + 10803006362363908011/2443438472926570138*c_1001_0^10 - 278373595493466837887/31764700148045411794*c_1001_0^9 - 1974490854857010245733/31764700148045411794*c_1001_0^8 - 260738411180625373839/2443438472926570138*c_1001_0^7 - 3013938558515073298201/31764700148045411794*c_1001_0^6 - 1801273461211579610137/31764700148045411794*c_1001_0^5 - 486443900965864839562/15882350074022705897*c_1001_0^4 - 372421815462490843155/31764700148045411794*c_1001_0^3 - 75875108048461173315/15882350074022705897*c_1001_0^2 - 14756899938964790166/15882350074022705897*c_1001_0 - 34672023404779033695/31764700148045411794, c_0011_5 + 688519139257552155645/31764700148045411794*c_1001_0^19 + 2935053636986005589705/31764700148045411794*c_1001_0^18 + 1582544757210226678833/15882350074022705897*c_1001_0^17 - 856436364178872716049/15882350074022705897*c_1001_0^16 + 615172189431123158532/15882350074022705897*c_1001_0^15 + 9830136249594642271803/15882350074022705897*c_1001_0^14 + 14952604059735701591898/15882350074022705897*c_1001_0^13 + 8955080068352927468981/15882350074022705897*c_1001_0^12 + 5010573951785489798475/31764700148045411794*c_1001_0^11 - 232658322389300144505/2443438472926570138*c_1001_0^10 + 3562973967930893130737/15882350074022705897*c_1001_0^9 + 29573066140767731495347/15882350074022705897*c_1001_0^8 + 8229876520787429482717/2443438472926570138*c_1001_0^7 + 98512016022921091269197/31764700148045411794*c_1001_0^6 + 62622078317170548458647/31764700148045411794*c_1001_0^5 + 17969426156001919743073/15882350074022705897*c_1001_0^4 + 13655470821990108251593/31764700148045411794*c_1001_0^3 + 2175532848971736848172/15882350074022705897*c_1001_0^2 + 557001490532564869791/15882350074022705897*c_1001_0 + 48350958853267708778/15882350074022705897, c_0011_9 + 143986903357039354165/15882350074022705897*c_1001_0^19 + 595158048608179817080/15882350074022705897*c_1001_0^18 + 584925016558516745172/15882350074022705897*c_1001_0^17 - 876491237353384331215/31764700148045411794*c_1001_0^16 + 299421672709144266243/15882350074022705897*c_1001_0^15 + 4069308594290926508527/15882350074022705897*c_1001_0^14 + 5753551071776113601888/15882350074022705897*c_1001_0^13 + 2980038372063952653114/15882350074022705897*c_1001_0^12 + 548170816472489641584/15882350074022705897*c_1001_0^11 - 60215784590773205286/1221719236463285069*c_1001_0^10 + 1631691537734763457773/15882350074022705897*c_1001_0^9 + 24419448089088305953743/31764700148045411794*c_1001_0^8 + 1601701760868289154263/1221719236463285069*c_1001_0^7 + 17816561961634540724365/15882350074022705897*c_1001_0^6 + 10463725016541556954124/15882350074022705897*c_1001_0^5 + 11673609232046322891515/31764700148045411794*c_1001_0^4 + 2042515757788142853096/15882350074022705897*c_1001_0^3 + 1447894122064457510121/31764700148045411794*c_1001_0^2 + 310772896734354707543/31764700148045411794*c_1001_0 + 26485172495991092381/15882350074022705897, c_0101_0 + 14536616283668109505/31764700148045411794*c_1001_0^19 + 17310631611438388875/15882350074022705897*c_1001_0^18 - 20560716455555279108/15882350074022705897*c_1001_0^17 - 130074719047756454323/31764700148045411794*c_1001_0^16 + 117478308509289340867/31764700148045411794*c_1001_0^15 + 169842936145748655749/15882350074022705897*c_1001_0^14 - 56264886026767519102/15882350074022705897*c_1001_0^13 - 297747070645892923309/15882350074022705897*c_1001_0^12 - 350412447438909451435/31764700148045411794*c_1001_0^11 - 4760906348871774350/1221719236463285069*c_1001_0^10 + 161800223942474491953/15882350074022705897*c_1001_0^9 + 907814293253850897721/31764700148045411794*c_1001_0^8 + 431189595848212025/1221719236463285069*c_1001_0^7 - 757187922377471866881/15882350074022705897*c_1001_0^6 - 1606794102256000298117/31764700148045411794*c_1001_0^5 - 436918671156777111859/15882350074022705897*c_1001_0^4 - 580399162272690722489/31764700148045411794*c_1001_0^3 - 180538480518071797689/31764700148045411794*c_1001_0^2 - 65591548811881282103/15882350074022705897*c_1001_0 - 14977183594261470827/31764700148045411794, c_0101_2 + 14536616283668109505/31764700148045411794*c_1001_0^19 + 17310631611438388875/15882350074022705897*c_1001_0^18 - 20560716455555279108/15882350074022705897*c_1001_0^17 - 130074719047756454323/31764700148045411794*c_1001_0^16 + 117478308509289340867/31764700148045411794*c_1001_0^15 + 169842936145748655749/15882350074022705897*c_1001_0^14 - 56264886026767519102/15882350074022705897*c_1001_0^13 - 297747070645892923309/15882350074022705897*c_1001_0^12 - 350412447438909451435/31764700148045411794*c_1001_0^11 - 4760906348871774350/1221719236463285069*c_1001_0^10 + 161800223942474491953/15882350074022705897*c_1001_0^9 + 907814293253850897721/31764700148045411794*c_1001_0^8 + 431189595848212025/1221719236463285069*c_1001_0^7 - 757187922377471866881/15882350074022705897*c_1001_0^6 - 1606794102256000298117/31764700148045411794*c_1001_0^5 - 436918671156777111859/15882350074022705897*c_1001_0^4 - 580399162272690722489/31764700148045411794*c_1001_0^3 - 180538480518071797689/31764700148045411794*c_1001_0^2 - 65591548811881282103/15882350074022705897*c_1001_0 - 14977183594261470827/31764700148045411794, c_0101_3 - 1, c_0101_4 - 6363815148796431395/31764700148045411794*c_1001_0^19 - 149089789618804607120/15882350074022705897*c_1001_0^18 - 545029430555415675258/15882350074022705897*c_1001_0^17 - 857773471691659332965/31764700148045411794*c_1001_0^16 + 963412303225048439717/31764700148045411794*c_1001_0^15 - 526787107615503383530/15882350074022705897*c_1001_0^14 - 3887109512432159113073/15882350074022705897*c_1001_0^13 - 4633728359437098626802/15882350074022705897*c_1001_0^12 - 3870468108587809997377/31764700148045411794*c_1001_0^11 - 35397844169853163546/1221719236463285069*c_1001_0^10 + 470900223253569349662/15882350074022705897*c_1001_0^9 - 3912410470386505184865/31764700148045411794*c_1001_0^8 - 887305742304540531460/1221719236463285069*c_1001_0^7 - 17602944480532845518251/15882350074022705897*c_1001_0^6 - 27354198042470362131033/31764700148045411794*c_1001_0^5 - 8237396705849242870655/15882350074022705897*c_1001_0^4 - 10358714284292127892715/31764700148045411794*c_1001_0^3 - 3211831555914068583669/31764700148045411794*c_1001_0^2 - 612406483739888205052/15882350074022705897*c_1001_0 - 266558836461442820219/31764700148045411794, c_0110_5 + 143986903357039354165/15882350074022705897*c_1001_0^19 + 595158048608179817080/15882350074022705897*c_1001_0^18 + 584925016558516745172/15882350074022705897*c_1001_0^17 - 876491237353384331215/31764700148045411794*c_1001_0^16 + 299421672709144266243/15882350074022705897*c_1001_0^15 + 4069308594290926508527/15882350074022705897*c_1001_0^14 + 5753551071776113601888/15882350074022705897*c_1001_0^13 + 2980038372063952653114/15882350074022705897*c_1001_0^12 + 548170816472489641584/15882350074022705897*c_1001_0^11 - 60215784590773205286/1221719236463285069*c_1001_0^10 + 1631691537734763457773/15882350074022705897*c_1001_0^9 + 24419448089088305953743/31764700148045411794*c_1001_0^8 + 1601701760868289154263/1221719236463285069*c_1001_0^7 + 17816561961634540724365/15882350074022705897*c_1001_0^6 + 10463725016541556954124/15882350074022705897*c_1001_0^5 + 11673609232046322891515/31764700148045411794*c_1001_0^4 + 2042515757788142853096/15882350074022705897*c_1001_0^3 + 1447894122064457510121/31764700148045411794*c_1001_0^2 + 310772896734354707543/31764700148045411794*c_1001_0 + 26485172495991092381/15882350074022705897, c_1001_0^20 + 4*c_1001_0^19 + 19/5*c_1001_0^18 - 12/5*c_1001_0^17 + 18/5*c_1001_0^16 + 27*c_1001_0^15 + 184/5*c_1001_0^14 + 118/5*c_1001_0^13 + 61/5*c_1001_0^12 - 4/5*c_1001_0^11 + 63/5*c_1001_0^10 + 408/5*c_1001_0^9 + 683/5*c_1001_0^8 + 129*c_1001_0^7 + 484/5*c_1001_0^6 + 319/5*c_1001_0^5 + 27*c_1001_0^4 + 66/5*c_1001_0^3 + 18/5*c_1001_0^2 + c_1001_0 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB