Magma V2.19-8 Tue Aug 20 2013 23:57:08 on localhost [Seed = 3398214176] Type ? for help. Type -D to quit. Loading file "L14n29777__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n29777 geometric_solution 11.66985311 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 3012 0132 1 1 1 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 5 1 -6 -1 0 0 1 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434489107987 0.817485478977 0 0 5 4 0132 1230 0132 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 1 0 -1 0 2 -1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.572330161634 0.827343209343 4 0 6 4 0132 0132 0132 2031 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 -5 5 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 0.452633137623 1.148209839796 7 8 0 9 0132 0132 0132 0132 1 1 1 1 0 1 -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 0 0 0 0 -6 6 0 6 0 -1 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583234482797 1.394946374748 2 2 1 7 0132 1302 0132 3201 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.702852850480 0.753783257536 9 10 8 1 0321 0132 3201 0132 1 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.350565060587 1.180314579082 10 10 11 2 0132 2310 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 -0.060938186195 0.702602720227 3 4 11 9 0132 2310 0321 0321 1 1 1 1 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.378798322997 0.838671290864 5 3 11 11 2310 0132 0213 2310 1 1 1 1 0 -1 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 6 0 -6 0 0 6 -6 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352683366473 0.438818975924 5 7 3 10 0321 0321 0132 3012 1 1 1 1 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 0 0 0 0 0.582137171141 0.834733319620 6 5 9 6 0132 0132 1230 3201 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 0.472641372622 1.015920041161 8 8 7 6 3201 0213 0321 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 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 0 6 -6 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.317560480374 0.756859756139 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_7'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_0011_10'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_1001_7']), 'c_1010_3' : d['c_1001_11'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_6']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : negation(d['c_0011_9']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_9']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_9']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0011_11'], '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' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : negation(d['c_0101_11']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_1001_1, c_1001_11, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 49875629812020505210117271168/4094255030680981912135309375*c_1001_7\ ^9 - 136913830434915576877812185666/4094255030680981912135309375*c_\ 1001_7^8 - 179455248221160025262855675659/8188510061361963824270618\ 750*c_1001_7^7 + 42545130491626903971921606054/40942550306809819121\ 35309375*c_1001_7^6 + 4374844041782670808884199148533/8188510061361\ 963824270618750*c_1001_7^5 - 3872979922869170384349694438337/818851\ 0061361963824270618750*c_1001_7^4 - 1876243327603686509637497674237/4094255030680981912135309375*c_1001\ _7^3 - 281304908971707202701573568697/4094255030680981912135309375*\ c_1001_7^2 + 5841158737651771656217165299477/8188510061361963824270\ 618750*c_1001_7 - 1489819122679735370346440959107/81885100613619638\ 24270618750, c_0011_0 - 1, c_0011_10 - 2178841602002009715496/9187669073056901906615*c_1001_7^9 + 4431776338916091294498/9187669073056901906615*c_1001_7^8 + 6279195757919035147236/9187669073056901906615*c_1001_7^7 + 3734974371741804035076/9187669073056901906615*c_1001_7^6 - 89629932631609430876254/9187669073056901906615*c_1001_7^5 + 23683274972321080548306/9187669073056901906615*c_1001_7^4 + 66458845187869918567553/9187669073056901906615*c_1001_7^3 + 49210963799780711215026/9187669073056901906615*c_1001_7^2 - 62143770382401414466248/9187669073056901906615*c_1001_7 + 3354216624168675976394/1837533814611380381323, c_0011_11 - 219085256783519151608/9187669073056901906615*c_1001_7^9 + 669455650893270094094/9187669073056901906615*c_1001_7^8 + 421131143956453997038/9187669073056901906615*c_1001_7^7 - 274285202886364271367/9187669073056901906615*c_1001_7^6 - 11087982631117282086157/9187669073056901906615*c_1001_7^5 + 9846525901850804860228/9187669073056901906615*c_1001_7^4 + 13583244214636407477234/9187669073056901906615*c_1001_7^3 + 14275221285151290406223/9187669073056901906615*c_1001_7^2 - 23684626088686384033769/9187669073056901906615*c_1001_7 - 644310122111672709384/1837533814611380381323, c_0011_3 + 97346208132584030488/1837533814611380381323*c_1001_7^9 - 142962414530061659302/1837533814611380381323*c_1001_7^8 - 358194408866128422762/1837533814611380381323*c_1001_7^7 - 419806802289008541383/1837533814611380381323*c_1001_7^6 + 3823733208001731400184/1837533814611380381323*c_1001_7^5 + 1214259565606139620930/1837533814611380381323*c_1001_7^4 - 1904447067688507372493/1837533814611380381323*c_1001_7^3 - 4728795506985295559155/1837533814611380381323*c_1001_7^2 + 148961560333713840626/1837533814611380381323*c_1001_7 - 944931095079849692789/1837533814611380381323, c_0011_9 + 1, c_0101_0 + 21334785228492509136/9187669073056901906615*c_1001_7^9 - 1339474147615323200408/9187669073056901906615*c_1001_7^8 + 1936662832367064842829/9187669073056901906615*c_1001_7^7 + 4603765198959367613159/9187669073056901906615*c_1001_7^6 + 5298280028456590517569/9187669073056901906615*c_1001_7^5 - 50838408292581685787936/9187669073056901906615*c_1001_7^4 - 11306920786032229347323/9187669073056901906615*c_1001_7^3 + 32577474709888176102314/9187669073056901906615*c_1001_7^2 + 42295078436753000786158/9187669073056901906615*c_1001_7 - 2589241298722253897612/1837533814611380381323, c_0101_10 + 626941963335426206072/9187669073056901906615*c_1001_7^9 - 394112131097714302186/9187669073056901906615*c_1001_7^8 - 3091526364174980578307/9187669073056901906615*c_1001_7^7 - 4383195419888412562717/9187669073056901906615*c_1001_7^6 + 22281388212211192595803/9187669073056901906615*c_1001_7^5 + 27788814405316112137033/9187669073056901906615*c_1001_7^4 - 8426846641752515100866/9187669073056901906615*c_1001_7^3 - 36910486632759948311202/9187669073056901906615*c_1001_7^2 - 11094695720976356726079/9187669073056901906615*c_1001_7 + 402893382970249068726/1837533814611380381323, c_0101_11 - 405853744683502191560/1837533814611380381323*c_1001_7^9 + 800865089702024749242/1837533814611380381323*c_1001_7^8 + 1221085973968917019724/1837533814611380381323*c_1001_7^7 + 807689837687266746625/1837533814611380381323*c_1001_7^6 - 16789415458323273129819/1837533814611380381323*c_1001_7^5 + 3338096009090911289521/1837533814611380381323*c_1001_7^4 + 12911512644911868238864/1837533814611380381323*c_1001_7^3 + 11641755021152338778809/1837533814611380381323*c_1001_7^2 - 13589623670945549890184/1837533814611380381323*c_1001_7 + 2237646218378601611430/1837533814611380381323, c_0101_6 - 97426531347495160624/1837533814611380381323*c_1001_7^9 + 15154452478162874416/1837533814611380381323*c_1001_7^8 + 562308622857294946679/1837533814611380381323*c_1001_7^7 + 840920059926688620646/1837533814611380381323*c_1001_7^6 - 3375394615486494939155/1837533814611380381323*c_1001_7^5 - 6178790186918046896404/1837533814611380381323*c_1001_7^4 + 1260445203366727060401/1837533814611380381323*c_1001_7^3 + 7476537132181843214072/1837533814611380381323*c_1001_7^2 + 3550949604136930846314/1837533814611380381323*c_1001_7 - 1259937199007050655379/1837533814611380381323, c_1001_1 + 626941963335426206072/9187669073056901906615*c_1001_7^9 - 394112131097714302186/9187669073056901906615*c_1001_7^8 - 3091526364174980578307/9187669073056901906615*c_1001_7^7 - 4383195419888412562717/9187669073056901906615*c_1001_7^6 + 22281388212211192595803/9187669073056901906615*c_1001_7^5 + 27788814405316112137033/9187669073056901906615*c_1001_7^4 - 8426846641752515100866/9187669073056901906615*c_1001_7^3 - 36910486632759948311202/9187669073056901906615*c_1001_7^2 - 20282364794033258632694/9187669073056901906615*c_1001_7 + 2240427197581629450049/1837533814611380381323, c_1001_11 + 1722378718123282875348/9187669073056901906615*c_1001_7^9 - 2745679411858978605229/9187669073056901906615*c_1001_7^8 - 6332630524068394321823/9187669073056901906615*c_1001_7^7 - 5363760572908588058483/9187669073056901906615*c_1001_7^6 + 68932737901511793345837/9187669073056901906615*c_1001_7^5 + 12092099903600156612967/9187669073056901906615*c_1001_7^4 - 54893733741622028225274/9187669073056901906615*c_1001_7^3 - 59131903063524888419523/9187669073056901906615*c_1001_7^2 + 25463358053053612327194/9187669073056901906615*c_1001_7 + 665298167939747120661/1837533814611380381323, c_1001_7^10 - 123/44*c_1001_7^9 - 71/44*c_1001_7^8 + 37/44*c_1001_7^7 + 961/22*c_1001_7^6 - 452/11*c_1001_7^5 - 1481/44*c_1001_7^4 - 49/11*c_1001_7^3 + 2513/44*c_1001_7^2 - 843/44*c_1001_7 + 115/44 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.480 seconds, Total memory usage: 32.09MB