data: - - deg: 4 dimension: 2 disc: 19600 field_bad_primes: - 2 - 5 - 7 field_label: 4.4.19600.1 id: 335018 is_CM: 'no' is_base_change: 'no' label: 4.4.19600.1-25.1-k label_nsuffix: 10 label_suffix: k level_bad_primes: - 5 level_ideal: '[25, 5, -4/23*w^3 + 6/23*w^2 + 40/23*w - 21/23]' level_label: '25.1' level_norm: 25 parallel_weight: 2 short_label: 25.1-k weight: '[2, 2, 2, 2]' - - AL_eigenvalues: - - '[25,5,-4/23*w^3+6/23*w^2+40/23*w-21/23]' - -1 hecke_eigenvalues: - 2 - -e - 2 - e - 4 - -4 - -e + 3 - -e - 5 - 1 - e + 4 - -e - 6 - -e + 2 - e - 4 - e + 5 - 2*e - 2 - e - 3 - 2*e + 6 - 2 - -3*e - 7 - e + 5 - -3*e + 1 - e - 3 - -e - 10 - -e - 18 - e - 8 - e - 16 - -13 - 3 - -2*e - 10 - -3*e + 5 - -2*e + 6 - -3*e - 11 - 3*e + 11 - -3*e - 11 - 3*e - 5 - -3*e + 5 - -10 - -10 - -4*e + 2 - 4*e + 10 - -3*e - 8 - 3*e - 2 - -4*e - 8 - -4*e - 2*e - 10 - 2*e + 14 - 7*e + 15 - -e + 7 - 7*e - 1 - -e - 9 - -e - 1 - -e - 1 - 4*e + 20 - 4*e - 12 - 4*e - 13 - 6*e + 13 - -4*e - 21 - -6*e + 1 - 3*e + 14 - -3*e + 8 - -5*e - 9 - -5*e - 1 - 20 - -20 - 5*e + 16 - -3*e + 8 - -5*e + 6 - 3*e + 14 - 6*e - 7 - -6*e - 19 - 2*e - 11 - -2*e - 15 - 10*e - 2 - -20 - 10*e + 22 - 20 - 6*e + 13 - -6*e + 1 - -4*e - 13 - 4*e - 5 - e - 31 - e + 33 - 13*e + 13 - 13*e + 13 - -7*e - 5*e + 4 - 7*e + 14 - -5*e - 6 - -8*e - 8 - -e + 7 - -8*e - 8 - -e - 9 - -8*e - 6 - 8*e + 10 - -4*e - 29 - 4*e - 21 - 4*e + 19 - -4*e + 11 - 12*e + 6 - -12*e - 18 - 8*e - 6 - -8*e - 22 - -7*e - 31 - -7*e + 17 - -10*e + 6 - -10*e - 26 - 12*e + 6 - -8*e - 14 - -12*e - 18 - 8*e + 2 - e + 9 - 5*e - 19 - e - 7 - 5*e + 29 - 4*e + 23 - -4*e + 15 - -14*e - 19 - 14*e + 9 - 9*e - 4 - -9*e - 22 - -e + 18 - e + 20 - 5*e + 37 - -2*e + 6 - 5*e - 27 - -2*e - 10 - -15*e - 8 - 7*e + 30 - 15*e + 22 - -7*e + 16 - -8*e - 8 - -2*e - 34 - -8*e - 8 - -2*e + 30 - 8*e + 11 - -8*e - 5 - -2*e - 23 - 2*e - 19 - 8*e + 24 - 8*e - 8 - -e - 9 - -e + 7 - 6*e + 30 - 6*e - 18 - 8 - -8 - 7*e + 43 - -20 - 7*e - 29 - 20 hecke_polynomial: x^2 + 2*x - 7 id: 229862 label: 4.4.19600.1-25.1-k - - degree: 4 discriminant: 19600 id: 395 ideals: - '[1, 1, 1]' - '[4, 2, -2/23*w^3 + 3/23*w^2 - 3/23*w + 1/23]' - '[9, 3, -2/23*w^3 + 3/23*w^2 + 43/23*w + 24/23]' - '[9, 3, -2/23*w^3 + 3/23*w^2 + 43/23*w - 68/23]' - '[16, 2, 2]' - '[19, 19, -2/23*w^3 + 3/23*w^2 - 3/23*w + 24/23]' - '[19, 19, -6/23*w^3 + 9/23*w^2 + 83/23*w - 20/23]' - '[19, 19, 6/23*w^3 - 9/23*w^2 - 83/23*w + 66/23]' - '[19, 19, -2/23*w^3 + 3/23*w^2 - 3/23*w - 22/23]' - '[25, 5, -4/23*w^3 + 6/23*w^2 + 40/23*w - 21/23]' - '[29, 29, w]' - '[29, 29, -4/23*w^3 + 6/23*w^2 + 63/23*w - 21/23]' - '[29, 29, 4/23*w^3 - 6/23*w^2 - 63/23*w + 44/23]' - '[29, 29, -w + 1]' - '[31, 31, w + 2]' - '[31, 31, -4/23*w^3 + 6/23*w^2 + 63/23*w + 25/23]' - '[31, 31, 4/23*w^3 - 6/23*w^2 - 63/23*w + 90/23]' - '[31, 31, -w + 3]' - '[36, 6, 2/23*w^3 - 3/23*w^2 - 43/23*w + 45/23]' - '[36, 6, 2/23*w^3 - 3/23*w^2 - 43/23*w - 1/23]' - '[49, 7, -2/23*w^3 + 3/23*w^2 + 43/23*w - 22/23]' - '[59, 59, -20/23*w^3 + 30/23*w^2 + 269/23*w - 128/23]' - '[59, 59, -8/23*w^3 + 12/23*w^2 + 103/23*w - 88/23]' - '[59, 59, -8/23*w^3 + 12/23*w^2 + 103/23*w - 19/23]' - '[59, 59, -4/23*w^3 + 6/23*w^2 + 17/23*w - 44/23]' - '[64, 4, -4/23*w^3 + 6/23*w^2 - 6/23*w + 2/23]' - '[76, 38, 6/23*w^3 - 9/23*w^2 - 83/23*w + 89/23]' - '[76, 38, -2/23*w^3 + 3/23*w^2 - 3/23*w - 45/23]' - '[76, 38, -2/23*w^3 + 3/23*w^2 - 3/23*w + 47/23]' - '[76, 38, -6/23*w^3 + 9/23*w^2 + 83/23*w + 3/23]' - '[81, 3, 3]' - '[81, 9, 2/23*w^3 - 3/23*w^2 - 43/23*w + 114/23]' - '[81, 9, -2/23*w^3 + 3/23*w^2 + 43/23*w + 70/23]' - '[100, 10, w^2 - w - 13]' - '[109, 109, -9/23*w^3 + 2/23*w^2 + 113/23*w + 62/23]' - '[109, 109, 4/23*w^3 - 6/23*w^2 - 63/23*w - 71/23]' - '[109, 109, 7/23*w^3 - 22/23*w^2 - 47/23*w + 100/23]' - '[109, 109, 9/23*w^3 - 25/23*w^2 - 90/23*w + 168/23]' - '[116, 58, 3/23*w^3 + 7/23*w^2 - 53/23*w - 174/23]' - '[116, 58, -1/23*w^3 - 10/23*w^2 + 10/23*w - 11/23]' - '[116, 58, -1/23*w^3 + 13/23*w^2 - 13/23*w + 12/23]' - '[116, 58, 3/23*w^3 - 16/23*w^2 - 30/23*w + 217/23]' - '[121, 11, -2/23*w^3 + 3/23*w^2 + 20/23*w - 91/23]' - '[121, 11, 2/23*w^3 - 3/23*w^2 - 20/23*w - 70/23]' - '[124, 62, -5/23*w^3 + 19/23*w^2 + 27/23*w - 124/23]' - '[124, 62, 7/23*w^3 - 22/23*w^2 - 70/23*w + 123/23]' - '[124, 62, -7/23*w^3 - 1/23*w^2 + 93/23*w + 38/23]' - '[124, 62, 5/23*w^3 + 4/23*w^2 - 50/23*w - 83/23]' - '[131, 131, -5/23*w^3 + 19/23*w^2 + 50/23*w - 101/23]' - '[131, 131, -3/23*w^3 + 16/23*w^2 + 7/23*w - 125/23]' - '[131, 131, 3/23*w^3 + 7/23*w^2 - 30/23*w - 105/23]' - '[131, 131, 5/23*w^3 + 4/23*w^2 - 73/23*w - 37/23]' - '[139, 139, -2/23*w^3 - 20/23*w^2 + 43/23*w + 323/23]' - '[139, 139, 17/23*w^3 - 37/23*w^2 - 216/23*w + 302/23]' - '[139, 139, 17/23*w^3 - 14/23*w^2 - 239/23*w - 66/23]' - '[139, 139, -2/23*w^3 + 26/23*w^2 - 3/23*w - 344/23]' - '[144, 6, -4/23*w^3 + 6/23*w^2 + 86/23*w + 48/23]' - '[144, 6, -4/23*w^3 + 6/23*w^2 + 86/23*w - 136/23]' - '[149, 149, -1/23*w^3 - 10/23*w^2 + 33/23*w - 34/23]' - '[149, 149, 1/23*w^3 + 10/23*w^2 - 33/23*w - 196/23]' - '[149, 149, -1/23*w^3 + 13/23*w^2 + 10/23*w - 218/23]' - '[149, 149, 1/23*w^3 - 13/23*w^2 - 10/23*w - 12/23]' - '[169, 13, 6/23*w^3 - 9/23*w^2 - 37/23*w + 20/23]' - '[169, 13, -10/23*w^3 + 15/23*w^2 + 123/23*w - 64/23]' - '[171, 57, 5/23*w^3 - 19/23*w^2 - 73/23*w + 239/23]' - '[171, 57, -1/23*w^3 - 10/23*w^2 + 10/23*w + 150/23]' - '[171, 57, -1/23*w^3 + 13/23*w^2 + 33/23*w - 11/23]' - '[171, 57, -3/23*w^3 + 16/23*w^2 + 30/23*w - 56/23]' - '[171, 57, 3/23*w^3 + 7/23*w^2 - 53/23*w - 13/23]' - '[171, 57, 1/23*w^3 + 10/23*w^2 - 56/23*w + 34/23]' - '[171, 57, -1/23*w^3 + 13/23*w^2 - 13/23*w - 149/23]' - '[171, 57, 5/23*w^3 + 4/23*w^2 - 96/23*w - 152/23]' - '[196, 14, -w^2 + w + 1]' - '[199, 199, -1/23*w^3 + 13/23*w^2 - 13/23*w - 195/23]' - '[199, 199, 3/23*w^3 + 7/23*w^2 - 53/23*w + 33/23]' - '[199, 199, 3/23*w^3 - 16/23*w^2 - 30/23*w + 10/23]' - '[199, 199, 1/23*w^3 + 10/23*w^2 - 10/23*w - 196/23]' - '[225, 15, 8/23*w^3 - 35/23*w^2 - 57/23*w + 226/23]' - '[225, 15, -8/23*w^3 - 11/23*w^2 + 103/23*w + 142/23]' - '[236, 118, -1/23*w^3 + 13/23*w^2 - 13/23*w - 172/23]' - '[236, 118, 3/23*w^3 + 7/23*w^2 - 7/23*w - 82/23]' - '[236, 118, -3/23*w^3 + 16/23*w^2 - 16/23*w - 79/23]' - '[236, 118, 3/23*w^3 + 53/23*w^2 - 53/23*w - 128/23]' - '[251, 251, 6/23*w^3 - 9/23*w^2 - 14/23*w + 43/23]' - '[251, 251, 14/23*w^3 - 21/23*w^2 - 186/23*w + 62/23]' - '[251, 251, 4/23*w^3 - 6/23*w^2 - 109/23*w + 228/23]' - '[251, 251, 6/23*w^3 - 9/23*w^2 - 14/23*w - 26/23]' - '[256, 4, 4]' - '[261, 87, -1/23*w^3 + 13/23*w^2 - 36/23*w + 58/23]' - '[261, 87, -10/23*w^3 + 15/23*w^2 + 146/23*w - 87/23]' - '[261, 87, 7/23*w^3 - 22/23*w^2 - 93/23*w + 284/23]' - '[261, 87, 2/23*w^3 - 3/23*w^2 + 26/23*w - 24/23]' - '[261, 87, 7/23*w^3 + 1/23*w^2 - 116/23*w - 176/23]' - '[261, 87, -2/23*w^3 + 3/23*w^2 - 26/23*w + 1/23]' - '[261, 87, -1/23*w^3 - 10/23*w^2 - 13/23*w - 34/23]' - '[261, 87, 10/23*w^3 - 15/23*w^2 - 146/23*w + 64/23]' - '[271, 271, -8/23*w^3 + 12/23*w^2 + 126/23*w + 27/23]' - '[271, 271, 8/23*w^3 - 35/23*w^2 - 80/23*w + 226/23]' - '[271, 271, 13/23*w^3 - 31/23*w^2 - 153/23*w + 189/23]' - '[271, 271, 8/23*w^3 - 12/23*w^2 - 126/23*w + 157/23]' - '[279, 93, -5/23*w^3 + 19/23*w^2 + 50/23*w - 78/23]' - '[279, 93, -10/23*w^3 + 38/23*w^2 + 77/23*w - 202/23]' - '[279, 93, 3/23*w^3 - 16/23*w^2 - 7/23*w + 148/23]' - '[279, 93, 10/23*w^3 - 38/23*w^2 - 77/23*w + 271/23]' - '[279, 93, 3/23*w^3 + 7/23*w^2 - 30/23*w - 128/23]' - '[279, 93, 10/23*w^3 + 8/23*w^2 - 123/23*w - 166/23]' - '[279, 93, -5/23*w^3 - 4/23*w^2 + 73/23*w + 14/23]' - '[279, 93, -10/23*w^3 - 8/23*w^2 + 123/23*w + 97/23]' - '[281, 281, -w^2 + 2*w + 9]' - '[281, 281, 13/23*w^3 - 8/23*w^2 - 153/23*w + 28/23]' - '[281, 281, -13/23*w^3 + 31/23*w^2 + 130/23*w - 120/23]' - '[281, 281, 11/23*w^3 - 28/23*w^2 - 87/23*w + 190/23]' - '[289, 17, -11/23*w^3 + 51/23*w^2 + 110/23*w - 581/23]' - '[289, 17, -8/23*w^3 + 35/23*w^2 + 80/23*w - 410/23]' - '[304, 38, -4/23*w^3 + 6/23*w^2 - 6/23*w + 48/23]' - '[304, 38, -12/23*w^3 + 18/23*w^2 + 166/23*w - 40/23]' - '[304, 38, 12/23*w^3 - 18/23*w^2 - 166/23*w + 132/23]' - '[304, 38, -4/23*w^3 + 6/23*w^2 - 6/23*w - 44/23]' - '[311, 311, 5/23*w^3 + 4/23*w^2 - 50/23*w - 106/23]' - '[311, 311, -7/23*w^3 + 22/23*w^2 + 70/23*w - 100/23]' - '[311, 311, 7/23*w^3 + 1/23*w^2 - 93/23*w - 15/23]' - '[311, 311, -5/23*w^3 + 19/23*w^2 + 27/23*w - 147/23]' - '[324, 6, -6/23*w^3 + 9/23*w^2 - 9/23*w + 3/23]' - '[324, 18, 2/23*w^3 - 3/23*w^2 - 43/23*w - 93/23]' - '[324, 18, -2/23*w^3 + 3/23*w^2 + 43/23*w - 137/23]' - '[361, 19, w^2 - w - 12]' - '[361, 19, -8/23*w^3 + 12/23*w^2 + 80/23*w - 19/23]' - '[361, 19, 4/23*w^3 - 6/23*w^2 - 86/23*w - 25/23]' - '[361, 19, w^2 - w - 4]' - '[361, 19, 4/23*w^3 - 6/23*w^2 - 86/23*w + 113/23]' - '[361, 19, -8/23*w^3 + 12/23*w^2 + 80/23*w - 65/23]' - '[361, 361, 1/23*w^3 - 13/23*w^2 + 59/23*w - 35/23]' - '[361, 361, -11/23*w^3 + 5/23*w^2 + 179/23*w + 109/23]' - '[361, 361, -11/23*w^3 + 28/23*w^2 + 156/23*w - 282/23]' - '[361, 361, 1/23*w^3 + 10/23*w^2 + 36/23*w - 12/23]' - '[389, 389, -8/23*w^3 + 35/23*w^2 + 80/23*w - 295/23]' - '[389, 389, -4/23*w^3 + 29/23*w^2 - 6/23*w - 136/23]' - '[389, 389, -4/23*w^3 - 17/23*w^2 + 40/23*w + 117/23]' - '[389, 389, 2/23*w^3 + 20/23*w^2 - 20/23*w - 185/23]' - '[400, 10, -8/23*w^3 + 12/23*w^2 + 80/23*w - 42/23]' - '[401, 401, 11/23*w^3 - 5/23*w^2 - 179/23*w - 17/23]' - '[401, 401, 2/23*w^3 + 20/23*w^2 - 43/23*w - 93/23]' - '[401, 401, 1/23*w^3 + 10/23*w^2 + 36/23*w - 104/23]' - '[401, 401, 11/23*w^3 - 28/23*w^2 - 156/23*w + 190/23]' - '[419, 419, -6/23*w^3 - 14/23*w^2 + 83/23*w + 72/23]' - '[419, 419, 3/23*w^3 + 7/23*w^2 - 76/23*w + 79/23]' - '[419, 419, -6/23*w^3 + 32/23*w^2 + 37/23*w - 296/23]' - '[419, 419, -1/23*w^3 + 13/23*w^2 + 56/23*w - 172/23]' - '[421, 421, -8/23*w^3 + 12/23*w^2 + 57/23*w - 65/23]' - '[421, 421, -12/23*w^3 + 18/23*w^2 + 143/23*w - 109/23]' - '[421, 421, 12/23*w^3 - 18/23*w^2 - 143/23*w + 40/23]' - '[421, 421, 8/23*w^3 - 12/23*w^2 - 57/23*w - 4/23]' - '[436, 218, 7/23*w^3 + 24/23*w^2 - 70/23*w - 107/23]' - '[436, 218, 9/23*w^3 - 2/23*w^2 + 2/23*w + 7/23]' - '[436, 218, 11/23*w^3 - 74/23*w^2 + 28/23*w + 167/23]' - '[436, 218, 7/23*w^3 - 45/23*w^2 - 1/23*w + 146/23]' - '[439, 439, 7/23*w^3 - 22/23*w^2 - 93/23*w + 123/23]' - '[439, 439, 1/23*w^3 + 10/23*w^2 + 13/23*w - 127/23]' - '[439, 439, 5/23*w^3 + 4/23*w^2 - 73/23*w + 9/23]' - '[439, 439, 7/23*w^3 + 1/23*w^2 - 116/23*w - 15/23]' - '[441, 21, -4/23*w^3 + 6/23*w^2 + 86/23*w + 117/23]' - '[441, 21, 4/23*w^3 - 6/23*w^2 - 86/23*w + 205/23]' - '[449, 449, -11/23*w^3 + 5/23*w^2 + 133/23*w + 63/23]' - '[449, 449, -9/23*w^3 + 2/23*w^2 + 90/23*w + 16/23]' - '[449, 449, 9/23*w^3 - 25/23*w^2 - 67/23*w + 99/23]' - '[449, 449, -11/23*w^3 + 28/23*w^2 + 110/23*w - 190/23]' - '[464, 58, 2*w]' - '[464, 58, -8/23*w^3 + 12/23*w^2 + 126/23*w - 42/23]' - '[464, 58, 8/23*w^3 - 12/23*w^2 - 126/23*w + 88/23]' - '[464, 58, -2*w + 2]' - '[475, 95, -4/23*w^3 + 29/23*w^2 + 17/23*w - 90/23]' - '[475, 95, -4/23*w^3 - 17/23*w^2 + 63/23*w + 278/23]' - '[475, 95, -4/23*w^3 + 29/23*w^2 + 17/23*w - 320/23]' - '[475, 95, 4/23*w^3 + 17/23*w^2 - 63/23*w - 48/23]' - '[479, 479, 10/23*w^3 - 15/23*w^2 - 123/23*w - 74/23]' - '[479, 479, 6/23*w^3 - 9/23*w^2 - 37/23*w + 158/23]' - '[479, 479, -6/23*w^3 + 9/23*w^2 + 37/23*w + 118/23]' - '[479, 479, 10/23*w^3 - 15/23*w^2 - 123/23*w + 202/23]' - '[484, 22, 7/23*w^3 - 22/23*w^2 + 22/23*w + 31/23]' - '[484, 22, 7/23*w^3 + 1/23*w^2 - 1/23*w - 38/23]' - '[496, 62, 2*w + 4]' - '[496, 62, -8/23*w^3 + 12/23*w^2 + 126/23*w + 50/23]' - '[496, 62, 8/23*w^3 - 12/23*w^2 - 126/23*w + 180/23]' - '[496, 62, -2*w + 6]' - '[524, 262, 11/23*w^3 - 28/23*w^2 - 18/23*w + 75/23]' - '[524, 262, -7/23*w^3 + 45/23*w^2 + 1/23*w - 100/23]' - '[524, 262, -7/23*w^3 - 24/23*w^2 + 70/23*w + 61/23]' - '[524, 262, -11/23*w^3 + 5/23*w^2 + 41/23*w + 40/23]' - '[529, 23, -4/23*w^3 + 29/23*w^2 + 40/23*w - 274/23]' - '[529, 23, w^2 - 6]' - '[531, 177, -10/23*w^3 + 15/23*w^2 + 146/23*w + 5/23]' - '[531, 177, -11/23*w^3 + 28/23*w^2 + 133/23*w - 167/23]' - '[531, 177, -13/23*w^3 - 15/23*w^2 + 176/23*w + 294/23]' - '[531, 177, 19/23*w^3 - 63/23*w^2 - 236/23*w + 646/23]' - '[531, 177, -19/23*w^3 - 6/23*w^2 + 305/23*w + 366/23]' - '[531, 177, 13/23*w^3 - 54/23*w^2 - 107/23*w + 442/23]' - '[531, 177, -5/23*w^3 - 27/23*w^2 + 4/23*w + 60/23]' - '[531, 177, 11/23*w^3 - 51/23*w^2 - 64/23*w + 236/23]' - '[541, 541, 6/23*w^3 + 14/23*w^2 - 83/23*w - 141/23]' - '[541, 541, -6/23*w^3 + 32/23*w^2 + 37/23*w - 227/23]' - '[541, 541, 6/23*w^3 + 14/23*w^2 - 83/23*w - 164/23]' - '[541, 541, -6/23*w^3 + 32/23*w^2 + 37/23*w - 204/23]' - '[551, 551, 8/23*w^3 - 12/23*w^2 - 11/23*w - 27/23]' - '[551, 551, -5/23*w^3 - 4/23*w^2 + 73/23*w - 32/23]' - '[551, 551, 3/23*w^3 + 7/23*w^2 - 30/23*w - 174/23]' - '[551, 551, -20/23*w^3 + 30/23*w^2 + 269/23*w - 174/23]' - '[551, 551, 3/23*w^3 - 16/23*w^2 - 53/23*w + 240/23]' - '[551, 551, 8/23*w^3 + 11/23*w^2 - 80/23*w - 142/23]' - '[551, 551, 3/23*w^3 - 16/23*w^2 - 53/23*w + 10/23]' - '[551, 551, -12/23*w^3 + 41/23*w^2 + 120/23*w - 270/23]' - '[551, 551, -12/23*w^3 - 5/23*w^2 + 166/23*w + 121/23]' - '[551, 551, 3/23*w^3 + 7/23*w^2 - 76/23*w + 56/23]' - 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313/23*w - 233/23]' - '[9641, 9641, -1/23*w^3 - 10/23*w^2 - 13/23*w - 149/23]' - '[9641, 9641, 28/23*w^3 + 27/23*w^2 - 372/23*w - 474/23]' - '[9641, 9641, 10/23*w^3 - 15/23*w^2 - 192/23*w + 18/23]' - '[9644, 4822, -7/23*w^3 + 45/23*w^2 - 45/23*w - 238/23]' - '[9644, 4822, -7/23*w^3 - 162/23*w^2 + 162/23*w + 383/23]' - '[9644, 4822, 7/23*w^3 - 183/23*w^2 + 183/23*w + 376/23]' - '[9644, 4822, 7/23*w^3 + 24/23*w^2 - 24/23*w - 245/23]' - '[9661, 9661, 2/23*w^3 + 66/23*w^2 - 89/23*w - 875/23]' - '[9661, 9661, 17/23*w^3 + 55/23*w^2 - 308/23*w - 940/23]' - '[9661, 9661, -17/23*w^3 + 106/23*w^2 + 147/23*w - 1176/23]' - '[9661, 9661, 45/23*w^3 - 102/23*w^2 - 588/23*w + 794/23]' - '[9679, 9679, 28/23*w^3 - 65/23*w^2 - 372/23*w + 400/23]' - '[9679, 9679, -68/23*w^3 + 79/23*w^2 + 933/23*w - 196/23]' - '[9679, 9679, -8/23*w^3 - 11/23*w^2 - 12/23*w + 188/23]' - '[9679, 9679, -8/23*w^3 + 58/23*w^2 + 34/23*w - 663/23]' - '[9689, 9689, -61/23*w^3 + 103/23*w^2 + 794/23*w - 579/23]' - '[9689, 9689, 34/23*w^3 - 51/23*w^2 - 432/23*w + 213/23]' - '[9689, 9689, -34/23*w^3 + 51/23*w^2 + 432/23*w - 236/23]' - '[9689, 9689, 22/23*w^3 - 125/23*w^2 - 197/23*w + 1484/23]' - '[9719, 9719, -10/23*w^3 + 38/23*w^2 + 169/23*w - 547/23]' - '[9719, 9719, -21/23*w^3 - 3/23*w^2 + 233/23*w + 275/23]' - '[9719, 9719, 21/23*w^3 - 66/23*w^2 - 164/23*w + 484/23]' - '[9719, 9719, -w^3 + 12*w + 2]' - '[9725, 1945, 20/23*w^3 - 53/23*w^2 - 292/23*w + 519/23]' - '[9725, 1945, w^2 - 6*w + 2]' - '[9725, 1945, w^2 + 4*w - 3]' - '[9725, 1945, 10/23*w^3 - 38/23*w^2 - 192/23*w + 179/23]' - '[9751, 1393, -16/23*w^3 - 22/23*w^2 + 229/23*w + 514/23]' - '[9751, 1393, -12/23*w^3 + 64/23*w^2 + 51/23*w - 178/23]' - '[9751, 1393, 12/23*w^3 + 28/23*w^2 - 143/23*w - 75/23]' - '[9751, 1393, -16/23*w^3 + 70/23*w^2 + 137/23*w - 705/23]' - '[9756, 1626, w^2 - 3*w - 17]' - '[9756, 1626, 16/23*w^3 - 1/23*w^2 - 321/23*w - 445/23]' - '[9756, 1626, 19/23*w^3 - 40/23*w^2 - 144/23*w + 347/23]' - '[9756, 1626, 35/23*w^3 - 110/23*w^2 - 304/23*w + 799/23]' - '[9756, 1626, 28/23*w^3 - 111/23*w^2 - 257/23*w + 975/23]' - '[9756, 1626, 2/23*w^3 - 49/23*w^2 + 49/23*w + 597/23]' - '[9756, 1626, 16/23*w^3 - 47/23*w^2 - 275/23*w + 751/23]' - '[9756, 1626, -w^2 - w + 19]' - '[9769, 9769, 9/23*w^3 - 2/23*w^2 - 67/23*w - 407/23]' - '[9769, 9769, -15/23*w^3 + 11/23*w^2 + 196/23*w - 349/23]' - '[9769, 9769, -15/23*w^3 + 34/23*w^2 + 173/23*w + 157/23]' - '[9769, 9769, 9/23*w^3 - 25/23*w^2 - 44/23*w + 467/23]' - '[9781, 9781, -67/23*w^3 + 66/23*w^2 + 946/23*w + 22/23]' - '[9781, 9781, -3/23*w^3 - 53/23*w^2 + 122/23*w + 634/23]' - '[9781, 9781, -3/23*w^3 + 62/23*w^2 + 7/23*w - 700/23]' - '[9781, 9781, -67/23*w^3 + 135/23*w^2 + 877/23*w - 967/23]' - '[9791, 9791, -21/23*w^3 - 3/23*w^2 + 233/23*w - 1/23]' - '[9791, 9791, w^3 - 12*w - 14]' - '[9791, 9791, -w^3 + 3*w^2 + 9*w - 25]' - '[9791, 9791, 21/23*w^3 - 66/23*w^2 - 164/23*w + 208/23]' - '[9801, 33, -6/23*w^3 + 9/23*w^2 + 60/23*w - 273/23]' - '[9801, 33, 6/23*w^3 - 9/23*w^2 - 60/23*w - 210/23]' - '[9801, 99, -1/23*w^3 - 10/23*w^2 - 59/23*w - 195/23]' - '[9801, 99, 15/23*w^3 - 11/23*w^2 - 242/23*w - 295/23]' - '[9801, 99, -15/23*w^3 + 34/23*w^2 + 219/23*w - 533/23]' - '[9801, 99, 1/23*w^3 - 13/23*w^2 + 82/23*w - 265/23]' - '[9819, 3273, 8/23*w^3 - 35/23*w^2 - 34/23*w + 364/23]' - '[9819, 3273, -3/23*w^3 - 7/23*w^2 + 122/23*w + 289/23]' - '[9819, 3273, -11/23*w^3 + 5/23*w^2 + 202/23*w - 259/23]' - '[9819, 3273, -12/23*w^3 - 5/23*w^2 + 166/23*w - 40/23]' - '[9819, 3273, 11/23*w^3 - 28/23*w^2 - 179/23*w - 63/23]' - '[9819, 3273, 12/23*w^3 - 41/23*w^2 - 120/23*w + 109/23]' - '[9819, 3273, -8/23*w^3 - 11/23*w^2 + 80/23*w + 303/23]' - '[9819, 3273, 3/23*w^3 - 16/23*w^2 - 99/23*w + 401/23]' - '[9829, 9829, 30/23*w^3 - 22/23*w^2 - 392/23*w - 107/23]' - '[9829, 9829, -18/23*w^3 + 4/23*w^2 + 134/23*w + 9/23]' - '[9829, 9829, 18/23*w^3 - 50/23*w^2 - 88/23*w + 129/23]' - '[9829, 9829, 30/23*w^3 - 45/23*w^2 - 346/23*w + 8/23]' - '[9859, 9859, 24/23*w^3 + 10/23*w^2 - 309/23*w - 196/23]' - '[9859, 9859, -44/23*w^3 + 43/23*w^2 + 624/23*w + 91/23]' - '[9859, 9859, 44/23*w^3 - 89/23*w^2 - 578/23*w + 714/23]' - '[9859, 9859, -24/23*w^3 + 82/23*w^2 + 217/23*w - 471/23]' - '[9904, 1238, -14/23*w^3 - 2/23*w^2 + 48/23*w + 122/23]' - '[9904, 1238, 4/23*w^3 - 98/23*w^2 + 52/23*w + 228/23]' - '[9904, 1238, 4/23*w^3 + 86/23*w^2 - 132/23*w - 186/23]' - '[9904, 1238, -14/23*w^3 + 44/23*w^2 + 2/23*w - 154/23]' - '[9931, 9931, -39/23*w^3 + 24/23*w^2 + 551/23*w + 123/23]' - '[9931, 9931, 18/23*w^3 - 119/23*w^2 - 134/23*w + 1371/23]' - '[9931, 9931, -18/23*w^3 - 65/23*w^2 + 318/23*w + 1136/23]' - '[9931, 9931, 39/23*w^3 - 93/23*w^2 - 482/23*w + 659/23]' - '[9941, 9941, 8/23*w^3 - 12/23*w^2 - 195/23*w - 96/23]' - '[9941, 9941, 12/23*w^3 - 18/23*w^2 - 235/23*w - 75/23]' - '[9941, 9941, -12/23*w^3 + 18/23*w^2 + 235/23*w - 316/23]' - '[9941, 9941, 8/23*w^3 - 12/23*w^2 - 195/23*w + 295/23]' - '[9949, 9949, 18/23*w^3 + 65/23*w^2 - 341/23*w - 1090/23]' - '[9949, 9949, -18/23*w^3 - 42/23*w^2 + 318/23*w + 745/23]' - '[9949, 9949, -18/23*w^3 + 96/23*w^2 + 180/23*w - 1003/23]' - '[9949, 9949, -18/23*w^3 + 119/23*w^2 + 157/23*w - 1348/23]' - '[9956, 4978, -13/23*w^3 + 77/23*w^2 + 15/23*w - 350/23]' - '[9956, 4978, 1/23*w^3 + 10/23*w^2 + 82/23*w - 127/23]' - '[9956, 4978, -21/23*w^3 - 3/23*w^2 + 187/23*w + 114/23]' - '[9956, 4978, -1/23*w^3 + 13/23*w^2 - 13/23*w + 150/23]' - '[9956, 4978, 31/23*w^3 - 12/23*w^2 - 402/23*w - 165/23]' - '[9956, 4978, -3/23*w^3 + 16/23*w^2 + 30/23*w - 355/23]' - '[9956, 4978, w^3 + w^2 - 15*w - 20]' - '[9956, 4978, 19/23*w^3 - 17/23*w^2 - 305/23*w + 48/23]' - '[9956, 4978, -19/23*w^3 + 40/23*w^2 + 282/23*w - 255/23]' - '[9956, 4978, w^3 - 4*w^2 - 10*w + 33]' - '[9956, 4978, -3/23*w^3 - 7/23*w^2 + 53/23*w + 312/23]' - '[9956, 4978, -31/23*w^3 + 81/23*w^2 + 333/23*w - 548/23]' - '[9956, 4978, -1/23*w^3 - 10/23*w^2 + 10/23*w - 149/23]' - '[9956, 4978, 21/23*w^3 - 66/23*w^2 - 118/23*w + 277/23]' - '[9956, 4978, -1/23*w^3 + 13/23*w^2 - 105/23*w - 34/23]' - '[9956, 4978, -13/23*w^3 - 38/23*w^2 + 130/23*w + 271/23]' - '[9971, 767, -15/23*w^3 + 34/23*w^2 + 173/23*w - 4/23]' - '[9971, 767, -3/23*w^3 - 53/23*w^2 + 76/23*w + 772/23]' - '[9971, 767, 54/23*w^3 - 58/23*w^2 - 747/23*w + 111/23]' - '[9971, 767, 14/23*w^3 + 2/23*w^2 - 209/23*w - 7/23]' - '[9971, 767, 15/23*w^3 + 58/23*w^2 - 265/23*w - 1054/23]' - '[9971, 767, -14/23*w^3 + 44/23*w^2 + 163/23*w - 200/23]' - '[9971, 767, 15/23*w^3 - 11/23*w^2 - 196/23*w + 188/23]' - '[9971, 767, 42/23*w^3 - 86/23*w^2 - 535/23*w + 692/23]' - '[10000, 10, 10]' label: 4.4.19600.1 narrow_class_no: 2 primes: - '[4, 2, -2/23*w^3 + 3/23*w^2 - 3/23*w + 1/23]' - '[9, 3, -2/23*w^3 + 3/23*w^2 + 43/23*w + 24/23]' - '[9, 3, -2/23*w^3 + 3/23*w^2 + 43/23*w - 68/23]' - '[19, 19, -2/23*w^3 + 3/23*w^2 - 3/23*w + 24/23]' - '[19, 19, -6/23*w^3 + 9/23*w^2 + 83/23*w - 20/23]' - '[19, 19, 6/23*w^3 - 9/23*w^2 - 83/23*w + 66/23]' - '[19, 19, -2/23*w^3 + 3/23*w^2 - 3/23*w - 22/23]' - '[25, 5, -4/23*w^3 + 6/23*w^2 + 40/23*w - 21/23]' - '[29, 29, w]' - '[29, 29, -4/23*w^3 + 6/23*w^2 + 63/23*w - 21/23]' - '[29, 29, 4/23*w^3 - 6/23*w^2 - 63/23*w + 44/23]' - '[29, 29, -w + 1]' - '[31, 31, w + 2]' - '[31, 31, -4/23*w^3 + 6/23*w^2 + 63/23*w + 25/23]' - '[31, 31, 4/23*w^3 - 6/23*w^2 - 63/23*w + 90/23]' - '[31, 31, -w + 3]' - '[49, 7, -2/23*w^3 + 3/23*w^2 + 43/23*w - 22/23]' - '[59, 59, -20/23*w^3 + 30/23*w^2 + 269/23*w - 128/23]' - '[59, 59, -8/23*w^3 + 12/23*w^2 + 103/23*w - 88/23]' - '[59, 59, -8/23*w^3 + 12/23*w^2 + 103/23*w - 19/23]' - '[59, 59, -4/23*w^3 + 6/23*w^2 + 17/23*w - 44/23]' - '[109, 109, -9/23*w^3 + 2/23*w^2 + 113/23*w + 62/23]' - '[109, 109, 4/23*w^3 - 6/23*w^2 - 63/23*w - 71/23]' - '[109, 109, 7/23*w^3 - 22/23*w^2 - 47/23*w + 100/23]' - '[109, 109, 9/23*w^3 - 25/23*w^2 - 90/23*w + 168/23]' - '[121, 11, -2/23*w^3 + 3/23*w^2 + 20/23*w - 91/23]' - '[121, 11, 2/23*w^3 - 3/23*w^2 - 20/23*w - 70/23]' - '[131, 131, -5/23*w^3 + 19/23*w^2 + 50/23*w - 101/23]' - '[131, 131, -3/23*w^3 + 16/23*w^2 + 7/23*w - 125/23]' - '[131, 131, 3/23*w^3 + 7/23*w^2 - 30/23*w - 105/23]' - '[131, 131, 5/23*w^3 + 4/23*w^2 - 73/23*w - 37/23]' - '[139, 139, -2/23*w^3 - 20/23*w^2 + 43/23*w + 323/23]' - '[139, 139, 17/23*w^3 - 37/23*w^2 - 216/23*w + 302/23]' - '[139, 139, 17/23*w^3 - 14/23*w^2 - 239/23*w - 66/23]' - '[139, 139, -2/23*w^3 + 26/23*w^2 - 3/23*w - 344/23]' - '[149, 149, -1/23*w^3 - 10/23*w^2 + 33/23*w - 34/23]' - '[149, 149, 1/23*w^3 + 10/23*w^2 - 33/23*w - 196/23]' - '[149, 149, -1/23*w^3 + 13/23*w^2 + 10/23*w - 218/23]' - '[149, 149, 1/23*w^3 - 13/23*w^2 - 10/23*w - 12/23]' - '[169, 13, 6/23*w^3 - 9/23*w^2 - 37/23*w + 20/23]' - '[169, 13, -10/23*w^3 + 15/23*w^2 + 123/23*w - 64/23]' - '[199, 199, -1/23*w^3 + 13/23*w^2 - 13/23*w - 195/23]' - '[199, 199, 3/23*w^3 + 7/23*w^2 - 53/23*w + 33/23]' - '[199, 199, 3/23*w^3 - 16/23*w^2 - 30/23*w + 10/23]' - '[199, 199, 1/23*w^3 + 10/23*w^2 - 10/23*w - 196/23]' - '[251, 251, 6/23*w^3 - 9/23*w^2 - 14/23*w + 43/23]' - '[251, 251, 14/23*w^3 - 21/23*w^2 - 186/23*w + 62/23]' - '[251, 251, 4/23*w^3 - 6/23*w^2 - 109/23*w + 228/23]' - '[251, 251, 6/23*w^3 - 9/23*w^2 - 14/23*w - 26/23]' - '[271, 271, -8/23*w^3 + 12/23*w^2 + 126/23*w + 27/23]' - '[271, 271, 8/23*w^3 - 35/23*w^2 - 80/23*w + 226/23]' - '[271, 271, 13/23*w^3 - 31/23*w^2 - 153/23*w + 189/23]' - '[271, 271, 8/23*w^3 - 12/23*w^2 - 126/23*w + 157/23]' - '[281, 281, -w^2 + 2*w + 9]' - '[281, 281, 13/23*w^3 - 8/23*w^2 - 153/23*w + 28/23]' - '[281, 281, -13/23*w^3 + 31/23*w^2 + 130/23*w - 120/23]' - '[281, 281, 11/23*w^3 - 28/23*w^2 - 87/23*w + 190/23]' - '[289, 17, -11/23*w^3 + 51/23*w^2 + 110/23*w - 581/23]' - '[289, 17, -8/23*w^3 + 35/23*w^2 + 80/23*w - 410/23]' - '[311, 311, 5/23*w^3 + 4/23*w^2 - 50/23*w - 106/23]' - '[311, 311, -7/23*w^3 + 22/23*w^2 + 70/23*w - 100/23]' - '[311, 311, 7/23*w^3 + 1/23*w^2 - 93/23*w - 15/23]' - '[311, 311, -5/23*w^3 + 19/23*w^2 + 27/23*w - 147/23]' - '[389, 389, -8/23*w^3 + 35/23*w^2 + 80/23*w - 295/23]' - '[389, 389, -4/23*w^3 + 29/23*w^2 - 6/23*w - 136/23]' - '[389, 389, -4/23*w^3 - 17/23*w^2 + 40/23*w + 117/23]' - '[389, 389, 2/23*w^3 + 20/23*w^2 - 20/23*w - 185/23]' - '[401, 401, 11/23*w^3 - 5/23*w^2 - 179/23*w - 17/23]' - '[401, 401, 2/23*w^3 + 20/23*w^2 - 43/23*w - 93/23]' - '[401, 401, 1/23*w^3 + 10/23*w^2 + 36/23*w - 104/23]' - '[401, 401, 11/23*w^3 - 28/23*w^2 - 156/23*w + 190/23]' - '[419, 419, -6/23*w^3 - 14/23*w^2 + 83/23*w + 72/23]' - '[419, 419, 3/23*w^3 + 7/23*w^2 - 76/23*w + 79/23]' - '[419, 419, -6/23*w^3 + 32/23*w^2 + 37/23*w - 296/23]' - '[419, 419, -1/23*w^3 + 13/23*w^2 + 56/23*w - 172/23]' - '[421, 421, -8/23*w^3 + 12/23*w^2 + 57/23*w - 65/23]' - '[421, 421, -12/23*w^3 + 18/23*w^2 + 143/23*w - 109/23]' - '[421, 421, 12/23*w^3 - 18/23*w^2 - 143/23*w + 40/23]' - '[421, 421, 8/23*w^3 - 12/23*w^2 - 57/23*w - 4/23]' - '[439, 439, 7/23*w^3 - 22/23*w^2 - 93/23*w + 123/23]' - '[439, 439, 1/23*w^3 + 10/23*w^2 + 13/23*w - 127/23]' - '[439, 439, 5/23*w^3 + 4/23*w^2 - 73/23*w + 9/23]' - '[439, 439, 7/23*w^3 + 1/23*w^2 - 116/23*w - 15/23]' - '[449, 449, -11/23*w^3 + 5/23*w^2 + 133/23*w + 63/23]' - '[449, 449, -9/23*w^3 + 2/23*w^2 + 90/23*w + 16/23]' - '[449, 449, 9/23*w^3 - 25/23*w^2 - 67/23*w + 99/23]' - '[449, 449, -11/23*w^3 + 28/23*w^2 + 110/23*w - 190/23]' - '[479, 479, 10/23*w^3 - 15/23*w^2 - 123/23*w - 74/23]' - '[479, 479, 6/23*w^3 - 9/23*w^2 - 37/23*w + 158/23]' - '[479, 479, -6/23*w^3 + 9/23*w^2 + 37/23*w + 118/23]' - '[479, 479, 10/23*w^3 - 15/23*w^2 - 123/23*w + 202/23]' - '[529, 23, -4/23*w^3 + 29/23*w^2 + 40/23*w - 274/23]' - '[529, 23, w^2 - 6]' - '[541, 541, 6/23*w^3 + 14/23*w^2 - 83/23*w - 141/23]' - '[541, 541, -6/23*w^3 + 32/23*w^2 + 37/23*w - 227/23]' - '[541, 541, 6/23*w^3 + 14/23*w^2 - 83/23*w - 164/23]' - '[541, 541, -6/23*w^3 + 32/23*w^2 + 37/23*w - 204/23]' - '[569, 569, -5/23*w^3 - 4/23*w^2 + 50/23*w - 78/23]' - '[569, 569, -7/23*w^3 + 22/23*w^2 + 70/23*w - 284/23]' - '[569, 569, -5/23*w^3 + 19/23*w^2 + 50/23*w - 262/23]' - '[569, 569, 5/23*w^3 - 19/23*w^2 - 27/23*w - 37/23]' - '[619, 619, -2/23*w^3 - 43/23*w^2 + 66/23*w + 622/23]' - '[619, 619, 17/23*w^3 - 37/23*w^2 - 216/23*w + 233/23]' - '[619, 619, 17/23*w^3 - 14/23*w^2 - 239/23*w + 3/23]' - '[619, 619, -2/23*w^3 + 49/23*w^2 - 26/23*w - 643/23]' - '[641, 641, -1/23*w^3 + 13/23*w^2 - 59/23*w + 127/23]' - '[641, 641, -14/23*w^3 + 44/23*w^2 + 117/23*w - 246/23]' - '[641, 641, -11/23*w^3 + 5/23*w^2 + 179/23*w + 201/23]' - '[641, 641, -1/23*w^3 - 10/23*w^2 - 36/23*w - 80/23]' - '[691, 691, 5/23*w^3 - 65/23*w^2 - 4/23*w + 837/23]' - '[691, 691, -2/23*w^3 + 26/23*w^2 + 20/23*w - 321/23]' - '[691, 691, -2/23*w^3 - 20/23*w^2 + 66/23*w + 277/23]' - '[691, 691, -5/23*w^3 - 50/23*w^2 + 119/23*w + 773/23]' - '[701, 701, 2/23*w^3 + 20/23*w^2 - 66/23*w - 185/23]' - '[701, 701, w^2 - 7]' - '[701, 701, -2/23*w^3 + 26/23*w^2 + 20/23*w - 183/23]' - '[701, 701, -2/23*w^3 + 26/23*w^2 + 20/23*w - 229/23]' - '[709, 709, -18/23*w^3 + 27/23*w^2 + 226/23*w - 152/23]' - '[709, 709, -33/23*w^3 + 38/23*w^2 + 445/23*w - 41/23]' - '[709, 709, -33/23*w^3 + 61/23*w^2 + 422/23*w - 409/23]' - '[709, 709, 18/23*w^3 - 27/23*w^2 - 226/23*w + 83/23]' - '[719, 719, -4/23*w^3 + 29/23*w^2 + 40/23*w - 136/23]' - '[719, 719, 12/23*w^3 - 18/23*w^2 - 166/23*w + 155/23]' - '[719, 719, w^2 - 12]' - '[719, 719, 4/23*w^3 + 17/23*w^2 - 86/23*w - 71/23]' - '[809, 809, -10/23*w^3 + 15/23*w^2 + 123/23*w - 248/23]' - '[809, 809, 7/23*w^3 - 22/23*w^2 - 93/23*w + 307/23]' - '[809, 809, 7/23*w^3 + 1/23*w^2 - 116/23*w - 199/23]' - '[809, 809, 10/23*w^3 - 15/23*w^2 - 123/23*w - 120/23]' - '[811, 811, -7/23*w^3 - 1/23*w^2 + 93/23*w - 31/23]' - '[811, 811, -7/23*w^3 + 22/23*w^2 + 93/23*w - 100/23]' - '[811, 811, 7/23*w^3 + 1/23*w^2 - 116/23*w + 8/23]' - '[811, 811, 1/23*w^3 + 10/23*w^2 + 13/23*w - 150/23]' - '[821, 821, -4/23*w^3 + 29/23*w^2 + 17/23*w - 182/23]' - '[821, 821, 4/23*w^3 + 17/23*w^2 - 63/23*w - 186/23]' - '[821, 821, -4/23*w^3 + 29/23*w^2 + 17/23*w - 228/23]' - '[821, 821, 4/23*w^3 + 17/23*w^2 - 63/23*w - 140/23]' - '[839, 839, -16/23*w^3 + 70/23*w^2 + 160/23*w - 751/23]' - '[839, 839, 22/23*w^3 - 33/23*w^2 - 289/23*w + 196/23]' - '[839, 839, -22/23*w^3 + 33/23*w^2 + 289/23*w - 104/23]' - '[839, 839, -16/23*w^3 - 22/23*w^2 + 252/23*w + 537/23]' - '[859, 859, -7/23*w^3 + 22/23*w^2 + 47/23*w - 192/23]' - '[859, 859, -9/23*w^3 + 2/23*w^2 + 113/23*w - 30/23]' - '[859, 859, -9/23*w^3 + 25/23*w^2 + 90/23*w - 76/23]' - '[859, 859, 7/23*w^3 + 1/23*w^2 - 70/23*w - 130/23]' - '[971, 971, -10/23*w^3 + 15/23*w^2 + 146/23*w + 97/23]' - '[971, 971, -14/23*w^3 - 2/23*w^2 + 186/23*w + 99/23]' - '[971, 971, 14/23*w^3 - 44/23*w^2 - 140/23*w + 269/23]' - '[971, 971, -10/23*w^3 + 15/23*w^2 + 146/23*w - 248/23]' - - class_group: [] class_number: 1 cm: false coeffs: - 29 - 16 - -15 - -2 - 1 conductor: 140 degree: 4 dirichlet_group: - 1 - 139 - 29 - 111 disc_abs: 19600 disc_rad: 70 disc_sign: 1 frobs: - - 2 - - 0 - - 3 - - - 2 - 2 - - 5 - - 0 - - 7 - - 0 - - 11 - - - 2 - 2 - - 13 - - - 2 - 2 - - 17 - - - 2 - 2 - - 19 - - - 1 - 4 - - 23 - - - 2 - 2 - - 29 - - - 1 - 4 - - 31 - - - 1 - 4 - - 37 - - - 2 - 2 - - 41 - - - 2 - 2 - - 43 - - - 2 - 2 - - 47 - - - 2 - 2 - - 53 - - - 2 - 2 - - 59 - - - 1 - 4 gal_is_abelian: true gal_is_cyclic: false gal_is_solvable: true galois_disc_exponents: - 4 - 2 - 2 galois_label: 4T2 galt: 2 grd: 11.832159566199232 id: 2229440 index: 1 inessentialp: [] is_galois: true is_minimal_sibling: true iso_number: 1 label: 4.4.19600.1 local_algs: - 2.4.4.1 - 5.4.2.1 - 7.4.2.1 monogenic: -1 num_ram: 3 r2: 0 ramps: - 2 - 5 - 7 rd: 11.8321595662 regulator: __RealLiteral__: 0 data: '6.60263997027' prec: 44 res: {} subfield_mults: - 1 - 1 - 1 subfields: - -35.0.1 - -1.-1.1 - -7.0.1 torsion_gen: \( -1 \) torsion_order: 2 units: - \( \frac{2}{23} a^{3} - \frac{3}{23} a^{2} - \frac{20}{23} a + \frac{22}{23} \) - \( \frac{9}{23} a^{3} - \frac{2}{23} a^{2} - \frac{136}{23} a - \frac{108}{23} \) - \( \frac{3}{23} a^{3} + \frac{7}{23} a^{2} - \frac{7}{23} a - \frac{13}{23} \) unitsGmodule: - - 1 - 1 - - 4 - 1 unitsType: Type II (i) used_grh: false zk: - '1' - a - a^2 - 1/23*a^3 + 10/23*a^2 - 10/23*a + 11/23 label_cols: - label - label - label - label labels: - 4.4.19600.1-25.1-k - 4.4.19600.1-25.1-k - 4.4.19600.1 - 4.4.19600.1 tables: - hmf_forms - hmf_hecke - hmf_fields - nf_fields timestamp: '2024-05-11T04:36:16.664169'