Magma V2.19-8 Tue Aug 20 2013 23:53:00 on localhost [Seed = 357793492] Type ? for help. Type -D to quit. Loading file "L13n4597__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4597 geometric_solution 11.64088500 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 -1 1 0 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.845020822901 0.989210524503 0 2 6 5 0132 3201 0132 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0.162724637729 0.825054428091 6 0 1 4 0132 0132 2310 2103 1 1 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 0 0 0 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566958724198 0.716926154581 7 7 8 0 0132 1302 0132 0132 1 1 1 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 0 -1 5 0 0 -5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531229881968 0.839671877604 6 9 0 2 1230 0132 0132 2103 1 1 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 0 0 0 0 0 0 0 0 -4 -1 5 -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 0.154584059143 0.986688541564 9 10 1 11 0321 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212191560194 1.290364766700 2 4 8 1 0132 3012 3120 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.162724637729 0.825054428091 3 11 9 3 0132 3120 0321 2031 1 1 0 1 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 -1 0 0 1 -1 1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506891235523 0.907955304958 11 11 6 3 3120 1023 3120 0132 1 1 0 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 0 0 0 0 0 0 0 0 0 0 -4 3 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531229881968 0.839671877604 5 4 7 10 0321 0132 0321 2103 1 1 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 0 0 0 0 0 0 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344670854459 0.564542221472 10 5 10 9 2310 0132 3201 2103 1 1 1 1 0 1 -1 0 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 -5 0 5 0 -5 0 0 5 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.124083806983 0.754569939081 8 7 5 8 1023 3120 0132 3120 1 1 0 1 0 1 -1 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 -5 5 0 0 0 0 0 -3 -1 0 4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506891235523 0.907955304958 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : negation(d['c_0101_10']), 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_1001_0']), 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_4'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_6']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : negation(d['c_0011_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0011_10']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_1']), 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0101_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : negation(d['c_0101_10']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_0']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_3'], '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_6'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_0'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 2721009235281347293/5820017238000*c_1001_2^17 + 281382714574226281/388001149200*c_1001_2^16 + 28259168152390761847/11640034476000*c_1001_2^15 - 35823593410207856437/5820017238000*c_1001_2^14 - 400617531411951853553/93120275808000*c_1001_2^13 + 2131465474172860904459/93120275808000*c_1001_2^12 + 130344235567635284329/46560137904000*c_1001_2^11 - 659686556135499813829/15520045968000*c_1001_2^10 + 526607888094227826007/93120275808000*c_1001_2^9 + 1335533649915354767333/31040091936000*c_1001_2^8 - 788427434312465313637/46560137904000*c_1001_2^7 - 1066096069788210484691/46560137904000*c_1001_2^6 + 827772858258862750963/46560137904000*c_1001_2^5 + 35546255435265222911/15520045968000*c_1001_2^4 - 57595056465083333239/7760022984000*c_1001_2^3 + 20863657935585384797/5820017238000*c_1001_2^2 - 72088039504237020989/93120275808000*c_1001_2 + 2052448267191610273/31040091936000, c_0011_0 - 1, c_0011_10 - 3612311252/2199553*c_1001_2^17 + 6508052828/2199553*c_1001_2^16 + 17780421462/2199553*c_1001_2^15 - 52700442276/2199553*c_1001_2^14 - 95030628857/8798212*c_1001_2^13 + 758175616107/8798212*c_1001_2^12 - 16575273888/2199553*c_1001_2^11 - 703025428927/4399106*c_1001_2^10 + 458161356163/8798212*c_1001_2^9 + 1416414454523/8798212*c_1001_2^8 - 202950531660/2199553*c_1001_2^7 - 354249224659/4399106*c_1001_2^6 + 180670295248/2199553*c_1001_2^5 + 6244737395/4399106*c_1001_2^4 - 136105259875/4399106*c_1001_2^3 + 37087378594/2199553*c_1001_2^2 - 34808597449/8798212*c_1001_2 + 3208724343/8798212, c_0011_11 + 1, c_0011_4 + 16*c_1001_2^17 - 32*c_1001_2^16 - 72*c_1001_2^15 + 248*c_1001_2^14 + 53*c_1001_2^13 - 850*c_1001_2^12 + 255*c_1001_2^11 + 1500*c_1001_2^10 - 845*c_1001_2^9 - 1390*c_1001_2^8 + 1239*c_1001_2^7 + 528*c_1001_2^6 - 960*c_1001_2^5 + 192*c_1001_2^4 + 290*c_1001_2^3 - 236*c_1001_2^2 + 82*c_1001_2 - 13, c_0101_0 + 16*c_1001_2^17 - 32*c_1001_2^16 - 72*c_1001_2^15 + 248*c_1001_2^14 + 53*c_1001_2^13 - 850*c_1001_2^12 + 255*c_1001_2^11 + 1500*c_1001_2^10 - 845*c_1001_2^9 - 1390*c_1001_2^8 + 1239*c_1001_2^7 + 528*c_1001_2^6 - 960*c_1001_2^5 + 192*c_1001_2^4 + 290*c_1001_2^3 - 236*c_1001_2^2 + 82*c_1001_2 - 13, c_0101_1 + 8896726700/2199553*c_1001_2^17 - 13969378668/2199553*c_1001_2^16 - 46137407242/2199553*c_1001_2^15 + 118161470552/2199553*c_1001_2^14 + 323301811479/8798212*c_1001_2^13 - 1755405947295/8798212*c_1001_2^12 - 48318073850/2199553*c_1001_2^11 + 1634467231797/4399106*c_1001_2^10 - 462575494037/8798212*c_1001_2^9 - 3319360056975/8798212*c_1001_2^8 + 658209130723/4399106*c_1001_2^7 + 884631474961/4399106*c_1001_2^6 - 685757038041/4399106*c_1001_2^5 - 90068099943/4399106*c_1001_2^4 + 285983810709/4399106*c_1001_2^3 - 68586651531/2199553*c_1001_2^2 + 58764985981/8798212*c_1001_2 - 4962812371/8798212, c_0101_10 + 207358176/2199553*c_1001_2^17 - 105518480/2199553*c_1001_2^16 - 1170676256/2199553*c_1001_2^15 + 1405824104/2199553*c_1001_2^14 + 3339915798/2199553*c_1001_2^13 - 5986517917/2199553*c_1001_2^12 - 7946905693/2199553*c_1001_2^11 + 8385756436/2199553*c_1001_2^10 + 8841644973/2199553*c_1001_2^9 - 5113142346/2199553*c_1001_2^8 - 2748981058/2199553*c_1001_2^7 + 1616448336/2199553*c_1001_2^6 - 1134844207/2199553*c_1001_2^5 + 866703706/2199553*c_1001_2^4 + 737145021/2199553*c_1001_2^3 - 1069133620/2199553*c_1001_2^2 + 427323621/2199553*c_1001_2 - 60076395/2199553, c_0101_3 + 9800984896/2199553*c_1001_2^17 - 15446856664/2199553*c_1001_2^16 - 50684313928/2199553*c_1001_2^15 + 130477749636/2199553*c_1001_2^14 + 87950120172/2199553*c_1001_2^13 - 967626781607/4399106*c_1001_2^12 - 98464441905/4399106*c_1001_2^11 + 899572898753/2199553*c_1001_2^10 - 271899535871/4399106*c_1001_2^9 - 912235955750/2199553*c_1001_2^8 + 744584555753/4399106*c_1001_2^7 + 969270030357/4399106*c_1001_2^6 - 383289505263/2199553*c_1001_2^5 - 46845870555/2199553*c_1001_2^4 + 158719201494/2199553*c_1001_2^3 - 153708820909/4399106*c_1001_2^2 + 33137088149/4399106*c_1001_2 - 2815274203/4399106, c_0101_6 - c_1001_2, c_0101_8 - 3306373320/2199553*c_1001_2^17 + 4632119416/2199553*c_1001_2^16 + 17687007508/2199553*c_1001_2^15 - 40685397856/2199553*c_1001_2^14 - 71038086741/4399106*c_1001_2^13 + 309402755763/4399106*c_1001_2^12 + 80970199739/4399106*c_1001_2^11 - 574147877415/4399106*c_1001_2^10 + 3285719207/4399106*c_1001_2^9 + 581419482497/4399106*c_1001_2^8 - 80839039551/2199553*c_1001_2^7 - 160029894894/2199553*c_1001_2^6 + 102291171796/2199553*c_1001_2^5 + 23106943075/2199553*c_1001_2^4 - 92995613967/4399106*c_1001_2^3 + 41061016313/4399106*c_1001_2^2 - 4131186947/2199553*c_1001_2 + 325802873/2199553, c_1001_0 + 3306373320/2199553*c_1001_2^17 - 4632119416/2199553*c_1001_2^16 - 17687007508/2199553*c_1001_2^15 + 40685397856/2199553*c_1001_2^14 + 71038086741/4399106*c_1001_2^13 - 309402755763/4399106*c_1001_2^12 - 80970199739/4399106*c_1001_2^11 + 574147877415/4399106*c_1001_2^10 - 3285719207/4399106*c_1001_2^9 - 581419482497/4399106*c_1001_2^8 + 80839039551/2199553*c_1001_2^7 + 160029894894/2199553*c_1001_2^6 - 102291171796/2199553*c_1001_2^5 - 23106943075/2199553*c_1001_2^4 + 92995613967/4399106*c_1001_2^3 - 41061016313/4399106*c_1001_2^2 + 4131186947/2199553*c_1001_2 - 325802873/2199553, c_1001_2^18 - 2*c_1001_2^17 - 9/2*c_1001_2^16 + 31/2*c_1001_2^15 + 53/16*c_1001_2^14 - 425/8*c_1001_2^13 + 255/16*c_1001_2^12 + 375/4*c_1001_2^11 - 845/16*c_1001_2^10 - 695/8*c_1001_2^9 + 1239/16*c_1001_2^8 + 33*c_1001_2^7 - 60*c_1001_2^6 + 12*c_1001_2^5 + 145/8*c_1001_2^4 - 59/4*c_1001_2^3 + 81/16*c_1001_2^2 - 7/8*c_1001_2 + 1/16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB