Magma V2.19-8 Wed Aug 21 2013 01:03:56 on localhost [Seed = 408813617] Type ? for help. Type -D to quit. Loading file "L14n23929__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23929 geometric_solution 12.48011597 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -1 0 1 1 0 -1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 -3 -2 0 2 0 4 -5 0 1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 0 5 2 6 0132 0132 1023 0132 0 0 1 1 0 0 0 0 -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 2 0 -2 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274968443889 0.540008867126 6 0 1 7 0132 0132 1023 0132 0 0 1 1 0 1 -1 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 -2 2 0 0 0 0 0 -1 -4 0 5 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568467868024 1.078175271963 7 8 9 0 0132 0132 0132 0132 0 0 1 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 1 0 -1 2 0 0 -2 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.141951528403 0.653254154199 10 10 0 11 0132 1302 0132 0132 0 0 0 1 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 -1 3 -2 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 0.745520780472 0.857923554982 6 1 11 8 1023 0132 3012 1230 0 0 1 1 0 0 0 0 1 0 -1 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 -2 0 2 0 0 -4 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 2 5 1 12 0132 1023 0132 0132 0 0 1 1 0 -1 0 1 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 2 0 -2 0 0 0 0 5 0 0 -5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568467868024 1.078175271963 3 12 2 12 0132 2103 0132 1023 0 0 0 1 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 -2 0 0 2 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 5 3 12 10 3012 0132 2103 3012 0 0 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 0 1 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.737796388677 0.561703180893 10 11 11 3 1302 3012 0132 0132 0 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 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 0.317784219669 1.071343145275 4 9 8 4 0132 2031 1230 2031 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317784219669 1.071343145275 9 5 4 9 1230 1230 0132 0132 0 0 1 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 -2 2 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 0.317784219669 1.071343145275 8 7 6 7 2103 2103 0132 1023 0 0 0 1 0 0 -1 1 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 2 -2 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.068144149720 1.051734294441 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_8']), 'c_1001_10' : negation(d['c_0101_3']), 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : d['c_0011_12'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_0101_12'], 'c_1001_0' : d['c_0011_12'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_0101_3'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], '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_2_7' : d['1'], 's_2_12' : 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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_3'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_8'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0110_8'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_12'], 'c_1010_4' : negation(d['c_0110_8']), 'c_1010_3' : d['c_0011_12'], 'c_1010_2' : d['c_0011_12'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_10']), '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'], 'c_1100_12' : d['c_1100_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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_3']), '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_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : negation(d['c_0101_3']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : d['c_0101_12'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_8'], '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_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_12']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 178081217215501395303332583/25997721725258580034048*c_1100_1^7 - 7339373692305205781729672147/19668433451831752957696*c_1100_1^6 - 96861107623143138191354479481/220980634664697930289408*c_1100_1^5 + 93438747109010864573413844983/117395962165620775466248*c_1100_1^4 + 7252202126861076028956110789/13811289666543620643088*c_1100_1^3 + 65140295367430218106363252661/469583848662483101864992*c_1100_1^2 + 673398036860013895579411471/27622579333087241286176*c_1100_1 + 34338946273845834752018223/14674495270702596933281, c_0011_0 - 1, c_0011_10 + 3561816296475/1524962933024*c_1100_1^7 - 6547872756168045/51848739722816*c_1100_1^6 - 307324416056761/1524962933024*c_1100_1^5 + 5866336205550299/25924369861408*c_1100_1^4 + 57963544544847/190620366628*c_1100_1^3 + 66995664708409/810136558169*c_1100_1^2 + 2703431575049/190620366628*c_1100_1 + 6280654692027/3240546232676, c_0011_11 + 220564033106081/606935247343552*c_1100_1^7 - 205229723237091391/10317899204840384*c_1100_1^6 - 690791099322495/37933452958972*c_1100_1^5 + 132901575598535959/2579474801210096*c_1100_1^4 + 1329593891405623/75866905917944*c_1100_1^3 - 11997291568194629/1289737400605048*c_1100_1^2 + 29825594851792/9483363239743*c_1100_1 + 83433150939585/161217175075631, c_0011_12 + 1344442915611079/606935247343552*c_1100_1^7 - 72435700187947881/606935247343552*c_1100_1^6 - 32485166446389201/151733811835888*c_1100_1^5 + 27420429708471309/151733811835888*c_1100_1^4 + 25271666972830139/75866905917944*c_1100_1^3 + 9784027377317913/75866905917944*c_1100_1^2 + 474929849361119/18966726479486*c_1100_1 + 28372520158277/9483363239743, c_0011_3 - 1433100607703165/606935247343552*c_1100_1^7 + 1315807799115896411/10317899204840384*c_1100_1^6 + 64147292610285513/303467623671776*c_1100_1^5 - 1110465548797292349/5158949602420192*c_1100_1^4 - 24265364856779041/75866905917944*c_1100_1^3 - 17057248162975406/161217175075631*c_1100_1^2 - 771103251773323/37933452958972*c_1100_1 - 1141393611181705/644868700302524, c_0101_0 - 1, c_0101_1 - 1197038852890969/606935247343552*c_1100_1^7 + 274449238810087391/2579474801210096*c_1100_1^6 + 55631230000715479/303467623671776*c_1100_1^5 - 901597753707437583/5158949602420192*c_1100_1^4 - 21739896837443483/75866905917944*c_1100_1^3 - 118654389783981757/1289737400605048*c_1100_1^2 - 418680504027583/37933452958972*c_1100_1 - 916117679955033/644868700302524, c_0101_10 - 32711512709643/151733811835888*c_1100_1^7 + 60605909109578673/5158949602420192*c_1100_1^6 + 2066073014669671/151733811835888*c_1100_1^5 - 66825406519012359/2579474801210096*c_1100_1^4 - 594734259797091/37933452958972*c_1100_1^3 - 904588025646607/322434350151262*c_1100_1^2 - 89028784280429/18966726479486*c_1100_1 - 5118047935007/322434350151262, c_0101_12 - 169340049634777/1213870494687104*c_1100_1^7 + 81215385426951907/10317899204840384*c_1100_1^6 - 868476915200155/151733811835888*c_1100_1^5 - 215243389844931791/5158949602420192*c_1100_1^4 + 2143867878205897/151733811835888*c_1100_1^3 + 6141840135308166/161217175075631*c_1100_1^2 + 363955074519111/37933452958972*c_1100_1 + 931721038721865/644868700302524, c_0101_3 - 29678408524801/303467623671776*c_1100_1^7 + 55149521987344991/10317899204840384*c_1100_1^6 + 807459152860805/151733811835888*c_1100_1^5 - 33798033671996369/2579474801210096*c_1100_1^4 - 50102120767115/9483363239743*c_1100_1^3 + 1918241688820089/1289737400605048*c_1100_1^2 - 4325428948623/9483363239743*c_1100_1 + 14909587628633/161217175075631, c_0110_8 + 4691491061241643/1213870494687104*c_1100_1^7 - 2156087471387764237/10317899204840384*c_1100_1^6 - 3165324681834361/9483363239743*c_1100_1^5 + 958386522975765243/2579474801210096*c_1100_1^4 + 75848834449916547/151733811835888*c_1100_1^3 + 184753572863470079/1289737400605048*c_1100_1^2 + 1170047123706615/37933452958972*c_1100_1 + 547521290761708/161217175075631, c_1100_0 - 4049393223788151/1213870494687104*c_1100_1^7 + 929257156481052277/5158949602420192*c_1100_1^6 + 45705589727149629/151733811835888*c_1100_1^5 - 197734419066436039/644868700302524*c_1100_1^4 - 70289326439265979/151733811835888*c_1100_1^3 - 22429388793389664/161217175075631*c_1100_1^2 - 796630270790407/37933452958972*c_1100_1 - 557312830455334/161217175075631, c_1100_1^8 - 15544/289*c_1100_1^7 - 29368/289*c_1100_1^6 + 20864/289*c_1100_1^5 + 45440/289*c_1100_1^4 + 21056/289*c_1100_1^3 + 4928/289*c_1100_1^2 + 768/289*c_1100_1 + 64/289 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_3, c_0110_8, c_1100_0, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 375506659140091/849833934408*c_1100_1^9 + 646840928180861/212458483602*c_1100_1^8 + 346513589371163/70819494534*c_1100_1^7 - 620843006789017/212458483602*c_1100_1^6 - 361229989363541/849833934408*c_1100_1^5 + 353058776720927/36949301496*c_1100_1^4 - 676233055967633/94425992712*c_1100_1^3 - 12094681572796213/141638989068*c_1100_1^2 + 100363868036636255/849833934408*c_1100_1 - 35672868887671729/849833934408, c_0011_0 - 1, c_0011_10 + 746140697/9237325374*c_1100_1^9 + 2673425555/4618662687*c_1100_1^8 + 3292513285/3079108458*c_1100_1^7 - 563595649/4618662687*c_1100_1^6 + 827998009/4618662687*c_1100_1^5 + 19116266177/9237325374*c_1100_1^4 - 412396321/1026369486*c_1100_1^3 - 47381691241/3079108458*c_1100_1^2 + 81484265054/4618662687*c_1100_1 - 24062317405/4618662687, c_0011_11 + 74820691/9237325374*c_1100_1^9 + 242321545/4618662687*c_1100_1^8 + 222866591/3079108458*c_1100_1^7 - 192372617/4618662687*c_1100_1^6 + 703976987/4618662687*c_1100_1^5 + 2929427233/9237325374*c_1100_1^4 - 124065419/1026369486*c_1100_1^3 - 4330522259/3079108458*c_1100_1^2 + 11492064502/4618662687*c_1100_1 - 7823654129/4618662687, c_0011_12 - 74820691/9237325374*c_1100_1^9 - 242321545/4618662687*c_1100_1^8 - 222866591/3079108458*c_1100_1^7 + 192372617/4618662687*c_1100_1^6 - 703976987/4618662687*c_1100_1^5 - 2929427233/9237325374*c_1100_1^4 + 124065419/1026369486*c_1100_1^3 + 4330522259/3079108458*c_1100_1^2 - 16110727189/4618662687*c_1100_1 + 7823654129/4618662687, c_0011_3 + 74820691/9237325374*c_1100_1^9 + 242321545/4618662687*c_1100_1^8 + 222866591/3079108458*c_1100_1^7 - 192372617/4618662687*c_1100_1^6 + 703976987/4618662687*c_1100_1^5 + 2929427233/9237325374*c_1100_1^4 - 124065419/1026369486*c_1100_1^3 - 4330522259/3079108458*c_1100_1^2 + 16110727189/4618662687*c_1100_1 - 7823654129/4618662687, c_0101_0 - 1, c_0101_1 - 74820691/9237325374*c_1100_1^9 - 242321545/4618662687*c_1100_1^8 - 222866591/3079108458*c_1100_1^7 + 192372617/4618662687*c_1100_1^6 - 703976987/4618662687*c_1100_1^5 - 2929427233/9237325374*c_1100_1^4 + 124065419/1026369486*c_1100_1^3 + 4330522259/3079108458*c_1100_1^2 - 11492064502/4618662687*c_1100_1 + 7823654129/4618662687, c_0101_10 - 33998450/4618662687*c_1100_1^9 - 185108545/4618662687*c_1100_1^8 + 9740882/1539554229*c_1100_1^7 + 1230070934/4618662687*c_1100_1^6 + 611654389/4618662687*c_1100_1^5 - 427458869/4618662687*c_1100_1^4 + 336241564/513184743*c_1100_1^3 + 3250549741/1539554229*c_1100_1^2 - 19947441526/4618662687*c_1100_1 + 7598599220/4618662687, c_0101_12 - 1, c_0101_3 - 20150387/9237325374*c_1100_1^9 - 67635926/4618662687*c_1100_1^8 - 59859823/3079108458*c_1100_1^7 + 96272413/4618662687*c_1100_1^6 - 156895783/4618662687*c_1100_1^5 - 930038177/9237325374*c_1100_1^4 + 62883427/1026369486*c_1100_1^3 + 995118247/3079108458*c_1100_1^2 - 7033996550/4618662687*c_1100_1 + 3838466338/4618662687, c_0110_8 - 39101747/9237325374*c_1100_1^9 - 95073386/4618662687*c_1100_1^8 + 47928683/3079108458*c_1100_1^7 + 671887531/4618662687*c_1100_1^6 - 99701317/4618662687*c_1100_1^5 - 1427291819/9237325374*c_1100_1^4 + 152031589/1026369486*c_1100_1^3 + 1018197247/3079108458*c_1100_1^2 - 11065222466/4618662687*c_1100_1 + 9000565030/4618662687, c_1100_0 - 39101747/9237325374*c_1100_1^9 - 95073386/4618662687*c_1100_1^8 + 47928683/3079108458*c_1100_1^7 + 671887531/4618662687*c_1100_1^6 - 99701317/4618662687*c_1100_1^5 - 1427291819/9237325374*c_1100_1^4 + 152031589/1026369486*c_1100_1^3 + 1018197247/3079108458*c_1100_1^2 - 11065222466/4618662687*c_1100_1 + 9000565030/4618662687, c_1100_1^10 + 6*c_1100_1^9 + 5*c_1100_1^8 - 16*c_1100_1^7 + 6*c_1100_1^6 + 23*c_1100_1^5 - 35*c_1100_1^4 - 177*c_1100_1^3 + 440*c_1100_1^2 - 344*c_1100_1 + 92 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.490 seconds, Total memory usage: 32.09MB