Magma V2.19-8 Tue Aug 20 2013 18:01:55 on localhost [Seed = 3103329733] Type ? for help. Type -D to quit. Loading file "11_294__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_294 geometric_solution 12.27094740 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 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 1 -1 0 -1 0 1 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162233539937 1.059043607470 0 5 6 6 0132 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 0 -1 0 7 0 -7 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561052298044 0.851864651222 7 0 5 8 0132 0132 0132 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 -1 1 0 -1 0 1 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359920578612 0.843051674975 4 5 9 0 0132 1230 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 -1 0 1 0 0 1 -1 8 -8 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.203653978346 1.173146525715 3 6 0 9 0132 2103 0132 0132 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 0 0 0 0 0 0 0 -1 0 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074942867282 0.938177459275 10 1 3 2 0132 0132 3012 0132 0 0 0 0 0 0 0 0 0 0 0 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 0 1 -1 0 0 1 -1 -7 7 0 0 -1 -7 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773014171808 1.031954525798 1 4 1 11 2103 2103 0132 0132 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 0 0 0 0 0 1 -1 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460761550097 0.818743948922 2 10 9 8 0132 0132 2103 3120 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 1 0 -1 0 -8 0 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585402967215 0.463608504172 7 11 2 12 3120 3012 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 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.161411112500 0.757177431560 7 12 4 3 2103 1302 0132 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 1 0 0 -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 -0.049806348280 0.831391670445 5 7 12 11 0132 0132 2103 0321 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 0 0 0 0 0 0 0 1 -1 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460060599063 0.929085528876 8 10 6 12 1230 0321 0132 0321 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 0 0 -8 0 1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.642410257229 0.482716913441 10 11 8 9 2103 0321 0132 2031 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 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.460060599063 0.929085528876 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_12']), 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_6'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : negation(d['c_0011_11']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_6'], 'c_1001_9' : d['c_0110_12'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_9'], 's_3_11' : 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_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' : 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_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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_3']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_3']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0110_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : negation(d['c_0110_12']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0110_12'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0011_11']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_6'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0101_11']), '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'], 'c_1100_12' : negation(d['c_1001_3']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_12']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_11']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_3'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : negation(d['c_0011_0']), '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_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_11']})} 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_11, c_0011_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0110_12, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 2941663184026/4652685*c_1100_0^13 - 6496442943574/4652685*c_1100_0^12 - 31075000935209/7444296*c_1100_0^11 + 95980356229553/9305370*c_1100_0^10 + 374486356433153/37221480*c_1100_0^9 - 96475474598809/3101790*c_1100_0^8 - 78428083632347/12407160*c_1100_0^7 + 80488858022921/1861074*c_1100_0^6 - 322311639612383/37221480*c_1100_0^5 - 307645731694751/12407160*c_1100_0^4 + 47372769187707/4135720*c_1100_0^3 + 15198088104181/7444296*c_1100_0^2 - 14629230322679/12407160*c_1100_0 - 1756186948361/9305370, c_0011_0 - 1, c_0011_11 - c_1100_0, c_0011_12 + 979289456/930537*c_1100_0^13 - 2156403152/930537*c_1100_0^12 - 6465694423/930537*c_1100_0^11 + 15919715192/930537*c_1100_0^10 + 15579810503/930537*c_1100_0^9 - 5330231402/103393*c_1100_0^8 - 3259032986/310179*c_1100_0^7 + 66623180974/930537*c_1100_0^6 - 13419232937/930537*c_1100_0^5 - 12693482080/310179*c_1100_0^4 + 5904687169/310179*c_1100_0^3 + 3039018917/930537*c_1100_0^2 - 598866553/310179*c_1100_0 - 283654985/930537, c_0011_3 + 112684544/930537*c_1100_0^13 - 80993104/310179*c_1100_0^12 - 754122704/930537*c_1100_0^11 + 1797644591/930537*c_1100_0^10 + 1866137596/930537*c_1100_0^9 - 1812525010/310179*c_1100_0^8 - 149048542/103393*c_1100_0^7 + 7613613034/930537*c_1100_0^6 - 1256646067/930537*c_1100_0^5 - 1483101800/310179*c_1100_0^4 + 210516750/103393*c_1100_0^3 + 436827839/930537*c_1100_0^2 - 212481625/930537*c_1100_0 - 37997275/930537, c_0011_6 - 401937632/930537*c_1100_0^13 + 896354800/930537*c_1100_0^12 + 293699054/103393*c_1100_0^11 - 6623215205/930537*c_1100_0^10 - 702606206/103393*c_1100_0^9 + 6656740184/310179*c_1100_0^8 + 1269434435/310179*c_1100_0^7 - 27751025305/930537*c_1100_0^6 + 1929395446/310179*c_1100_0^5 + 5292616175/310179*c_1100_0^4 - 2480350627/310179*c_1100_0^3 - 1280905487/930537*c_1100_0^2 + 761327531/930537*c_1100_0 + 40351579/310179, c_0011_9 - 1761700864/930537*c_1100_0^13 + 3903163856/930537*c_1100_0^12 + 1291310864/103393*c_1100_0^11 - 28841028685/930537*c_1100_0^10 - 3107857732/103393*c_1100_0^9 + 28995582628/310179*c_1100_0^8 + 5810926435/310179*c_1100_0^7 - 120983743796/930537*c_1100_0^6 + 8125080083/310179*c_1100_0^5 + 23132937310/310179*c_1100_0^4 - 10688574197/310179*c_1100_0^3 - 5745991639/930537*c_1100_0^2 + 3303514021/930537*c_1100_0 + 178444496/310179, c_0101_0 + 1210022672/930537*c_1100_0^13 - 2667706192/930537*c_1100_0^12 - 2664630379/310179*c_1100_0^11 + 19703948594/930537*c_1100_0^10 + 2143324288/103393*c_1100_0^9 - 19803276922/310179*c_1100_0^8 - 1355749080/103393*c_1100_0^7 + 82597433365/930537*c_1100_0^6 - 1824707819/103393*c_1100_0^5 - 5260598820/103393*c_1100_0^4 + 7274435761/310179*c_1100_0^3 + 3892868045/930537*c_1100_0^2 - 2238065456/930537*c_1100_0 - 40178316/103393, c_0101_10 - 250639360/310179*c_1100_0^13 + 1656338224/930537*c_1100_0^12 + 4964037664/930537*c_1100_0^11 - 1358731163/103393*c_1100_0^10 - 11959165199/930537*c_1100_0^9 + 4094636346/103393*c_1100_0^8 + 2498831407/310179*c_1100_0^7 - 17061951848/310179*c_1100_0^6 + 10320126377/930537*c_1100_0^5 + 3251845841/103393*c_1100_0^4 - 1512674558/103393*c_1100_0^3 - 781376681/310179*c_1100_0^2 + 1383364267/930537*c_1100_0 + 219512324/930537, c_0101_11 + 250639360/310179*c_1100_0^13 - 1656338224/930537*c_1100_0^12 - 4964037664/930537*c_1100_0^11 + 1358731163/103393*c_1100_0^10 + 11959165199/930537*c_1100_0^9 - 4094636346/103393*c_1100_0^8 - 2498831407/310179*c_1100_0^7 + 17061951848/310179*c_1100_0^6 - 10320126377/930537*c_1100_0^5 - 3251845841/103393*c_1100_0^4 + 1512674558/103393*c_1100_0^3 + 781376681/310179*c_1100_0^2 - 1383364267/930537*c_1100_0 - 219512324/930537, c_0101_3 + 1184875456/930537*c_1100_0^13 - 874062416/310179*c_1100_0^12 - 7819762780/930537*c_1100_0^11 + 19375832203/930537*c_1100_0^10 + 18834617087/930537*c_1100_0^9 - 19481064037/310179*c_1100_0^8 - 3929815804/310179*c_1100_0^7 + 81299380118/930537*c_1100_0^6 - 16306742633/930537*c_1100_0^5 - 15552917744/310179*c_1100_0^4 + 2390987089/103393*c_1100_0^3 + 3882311110/930537*c_1100_0^2 - 2220917366/930537*c_1100_0 - 360882251/930537, c_0110_12 - 64091712/103393*c_1100_0^13 + 1280976608/930537*c_1100_0^12 + 3802034996/930537*c_1100_0^11 - 1051688498/103393*c_1100_0^10 - 9136102501/930537*c_1100_0^9 + 3171506197/103393*c_1100_0^8 + 627036877/103393*c_1100_0^7 - 4409373742/103393*c_1100_0^6 + 8068497616/930537*c_1100_0^5 + 7580019566/310179*c_1100_0^4 - 3515612930/310179*c_1100_0^3 - 621226843/310179*c_1100_0^2 + 1081666118/930537*c_1100_0 + 174451237/930537, c_1001_3 - 231073264/310179*c_1100_0^13 + 512573440/310179*c_1100_0^12 + 507709829/103393*c_1100_0^11 - 3787346723/310179*c_1100_0^10 - 3659989867/310179*c_1100_0^9 + 11421729383/310179*c_1100_0^8 + 2261720536/310179*c_1100_0^7 - 15880624576/310179*c_1100_0^6 + 1076240145/103393*c_1100_0^5 + 9100139707/310179*c_1100_0^4 - 1407011897/103393*c_1100_0^3 - 745207490/310179*c_1100_0^2 + 144283701/103393*c_1100_0 + 23225265/103393, c_1100_0^14 - 2*c_1100_0^13 - 113/16*c_1100_0^12 + 239/16*c_1100_0^11 + 309/16*c_1100_0^10 - 367/8*c_1100_0^9 - 81/4*c_1100_0^8 + 1061/16*c_1100_0^7 + 9/16*c_1100_0^6 - 673/16*c_1100_0^5 + 159/16*c_1100_0^4 + 7*c_1100_0^3 - 19/16*c_1100_0^2 - 11/16*c_1100_0 - 1/16 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_10, c_0101_11, c_0101_3, c_0110_12, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 21091651630435352676105274043956165/9663856268435985700206158586546\ 7*c_1100_0^15 - 122506898935434659063848192013748208/96638562684359\ 857002061585865467*c_1100_0^14 - 2679740055814631121275822385979632\ 39/96638562684359857002061585865467*c_1100_0^13 - 196264016140073836033447689907287588/966385626843598570020615858654\ 67*c_1100_0^12 - 516975030680431004066810258618123498/9663856268435\ 9857002061585865467*c_1100_0^11 - 106697122884092491946634817581729\ 1500/96638562684359857002061585865467*c_1100_0^10 + 319563769139402898649412900857801658/966385626843598570020615858654\ 67*c_1100_0^9 + 4587095374846365723386883529326884482/9663856268435\ 9857002061585865467*c_1100_0^8 + 3488137452921217700545737527264615\ 717/96638562684359857002061585865467*c_1100_0^7 - 8395835660520536796335521461742015942/96638562684359857002061585865\ 467*c_1100_0^6 - 5158929690735028776575039347447580523/966385626843\ 59857002061585865467*c_1100_0^5 + 943621835581136958101118924236177\ 5689/96638562684359857002061585865467*c_1100_0^4 + 862628690378936420005609460343649620/966385626843598570020615858654\ 67*c_1100_0^3 - 580414451200200314949522252527453569/87853238803963\ 50636551053260497*c_1100_0^2 + 301351340478179701741546412653139926\ /96638562684359857002061585865467*c_1100_0 + 2203013755508232603737385012925110618/96638562684359857002061585865\ 467, c_0011_0 - 1, c_0011_11 + 10480325582064348067/2248113172043816638273*c_1100_0^15 + 62399233256884362166/2248113172043816638273*c_1100_0^14 + 143731166965012688276/2248113172043816638273*c_1100_0^13 + 131592535135768087491/2248113172043816638273*c_1100_0^12 + 315265558156243302506/2248113172043816638273*c_1100_0^11 + 618730472772171985741/2248113172043816638273*c_1100_0^10 - 56808506421233969677/2248113172043816638273*c_1100_0^9 - 2221835350119254321056/2248113172043816638273*c_1100_0^8 - 2218927786146257135094/2248113172043816638273*c_1100_0^7 + 3093079606332839241587/2248113172043816638273*c_1100_0^6 + 1434214802476042678224/2248113172043816638273*c_1100_0^5 - 4717547627894679110407/2248113172043816638273*c_1100_0^4 + 1650295125597073707764/2248113172043816638273*c_1100_0^3 + 5310087743653426110196/2248113172043816638273*c_1100_0^2 + 1221299475765809378541/2248113172043816638273*c_1100_0 - 2471010241010003519322/2248113172043816638273, c_0011_12 + 63619525447707579053/2248113172043816638273*c_1100_0^15 + 368474956847677791928/2248113172043816638273*c_1100_0^14 + 811100899392262036317/2248113172043816638273*c_1100_0^13 + 633067250017884750943/2248113172043816638273*c_1100_0^12 + 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