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Galois conjugate representations are grouped into single lines.
Label Dimension Conductor Defining polynomial of Artin field $G$ Ind $\chi(c)$
11.648...000.24t2949.a.a $11$ $ 2^{8} \cdot 5^{10} \cdot 11^{10}$ x12 - 4x11 + 55x9 - 110x8 - 220x7 + 1155x6 - 440x5 - 4730x4 + 6985x3 + 9460x2 - 29660x + 18540 $\PGL(2,11)$ $1$ $-1$
11.114...000.12t218.a.a $11$ $ 2^{10} \cdot 5^{8} \cdot 11^{11}$ x12 - 44x9 + 44x8 - 110x7 + 682x6 - 1364x5 + 1452x4 - 3982x3 + 10406x2 - 11826x + 4972 $\PGL(2,11)$ $1$ $1$
11.276...576.12t218.a.a $11$ $ 2^{14} \cdot 3^{10} \cdot 11^{11}$ x12 - 2x11 - 99x8 + 132x7 - 132x6 + 3267x4 - 2178x3 + 4356x2 - 1656x - 35793 $\PGL(2,11)$ $1$ $1$
11.713...000.12t218.a.a $11$ $ 2^{8} \cdot 5^{10} \cdot 11^{11}$ x12 - 4x11 + 55x9 - 110x8 - 220x7 + 1155x6 - 440x5 - 4730x4 + 6985x3 + 9460x2 - 29660x + 18540 $\PGL(2,11)$ $1$ $1$
11.125...000.24t2949.a.a $11$ $ 2^{10} \cdot 5^{8} \cdot 11^{12}$ x12 - 44x9 + 44x8 - 110x7 + 682x6 - 1364x5 + 1452x4 - 3982x3 + 10406x2 - 11826x + 4972 $\PGL(2,11)$ $1$ $-1$
11.303...336.24t2949.a.a $11$ $ 2^{14} \cdot 3^{10} \cdot 11^{12}$ x12 - 2x11 - 99x8 + 132x7 - 132x6 + 3267x4 - 2178x3 + 4356x2 - 1656x - 35793 $\PGL(2,11)$ $1$ $-1$
11.740...211.12t218.a.a $11$ $ 11^{21}$ x12 - 4x11 + 55x9 - 165x8 + 264x7 - 341x6 + 330x5 - 165x4 - 55x3 + 99x2 - 41x - 111 $\PGL(2,11)$ $1$ $1$
11.750...576.24t2949.a.a $11$ $ 2^{10} \cdot 7^{10} \cdot 11^{10}$ x12 - x11 - 11x10 - 55x9 - 66x7 - 154x6 + 66x5 + 165x4 + 275x3 - 11x2 + 21x - 758 $\PGL(2,11)$ $1$ $-1$
11.456...000.12t218.a.a $11$ $ 2^{14} \cdot 5^{10} \cdot 11^{11}$ x12 - 2x11 - 44x10 + 220x9 - 165x8 - 1012x7 + 2464x6 - 1672x5 + 55x4 - 330x3 + 396x2 + 108x + 81 $\PGL(2,11)$ $1$ $1$
11.522...849.24t2949.a.a $11$ $ 11^{10} \cdot 17^{10}$ x12 - 3x11 - 11x10 + 55x9 - 165x8 + 264x7 - 187x6 + 66x5 - 165x4 + 220x3 - 176x2 + 63x - 288 $\PGL(2,11)$ $1$ $-1$
11.814...321.24t2949.a.a $11$ $ 11^{22}$ x12 - 4x11 + 55x9 - 165x8 + 264x7 - 341x6 + 330x5 - 165x4 - 55x3 + 99x2 - 41x - 111 $\PGL(2,11)$ $1$ $-1$
11.825...336.12t218.a.a $11$ $ 2^{10} \cdot 7^{10} \cdot 11^{11}$ x12 - x11 - 11x10 - 55x9 - 66x7 - 154x6 + 66x5 + 165x4 + 275x3 - 11x2 + 21x - 758 $\PGL(2,11)$ $1$ $1$
11.164...875.12t218.a.a $11$ $ 3^{10} \cdot 5^{10} \cdot 11^{11}$ x12 - 5x11 + 11x10 - 55x9 + 165x8 - 264x7 + 165x6 + 66x5 - 165x4 + 220x3 - 176x2 + 65x - 226 $\PGL(2,11)$ $1$ $1$
11.502...000.24t2949.a.a $11$ $ 2^{14} \cdot 5^{10} \cdot 11^{12}$ x12 - 2x11 - 44x10 + 220x9 - 165x8 - 1012x7 + 2464x6 - 1672x5 + 55x4 - 330x3 + 396x2 + 108x + 81 $\PGL(2,11)$ $1$ $-1$
11.575...339.12t218.a.a $11$ $ 11^{11} \cdot 17^{10}$ x12 - 3x11 - 11x10 + 55x9 - 165x8 + 264x7 - 187x6 + 66x5 - 165x4 + 220x3 - 176x2 + 63x - 288 $\PGL(2,11)$ $1$ $1$
11.147...000.12t272.a.a $11$ $ 2^{18} \cdot 3^{10} \cdot 5^{20}$ x11 - 2x10 - 5x9 - 50x8 + 70x7 + 232x6 + 796x5 - 1400x4 - 5075x3 - 10950x2 + 2805x + 90 $M_{11}$ $1$ $3$
11.174...411.12t218.a.a $11$ $ 11^{11} \cdot 19^{10}$ x12 - 4x11 + 22x10 - 55x9 + 132x7 - 253x6 + 264x5 - 330x4 + 275x3 - 44x2 - 24x - 344 $\PGL(2,11)$ $1$ $1$
11.180...625.24t2949.a.a $11$ $ 3^{10} \cdot 5^{10} \cdot 11^{12}$ x12 - 5x11 + 11x10 - 55x9 + 165x8 - 264x7 + 165x6 + 66x5 - 165x4 + 220x3 - 176x2 + 65x - 226 $\PGL(2,11)$ $1$ $-1$
11.189...016.12t218.a.a $11$ $ 2^{8} \cdot 11^{21}$ x12 - 4x11 + 22x10 - 110x9 + 165x8 - 440x6 + 660x5 - 825x4 + 1100x3 - 550x2 + 50x - 1861 $\PGL(2,11)$ $1$ $1$
11.475...811.12t218.a.a $11$ $ 3^{10} \cdot 7^{10} \cdot 11^{11}$ x12 - x11 + 22x10 - 165x8 + 66x7 - 231x6 + 132x5 - 825x4 + 55x3 + 539x2 - 59x - 3846 $\PGL(2,11)$ $1$ $1$
11.100...184.12t218.a.a $11$ $ 2^{8} \cdot 11^{11} \cdot 13^{10}$ x12 - 2x11 - 44x10 + 44x9 + 847x8 - 924x7 - 8844x6 + 19272x5 + 20075x4 - 156442x3 + 83600x2 + 359236x - 470323 $\PGL(2,11)$ $1$ $1$
11.153...000.24t2949.a.a $11$ $ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11^{10}$ x12 - 2x11 + 330x9 - 495x8 + 396x7 + 28248x6 - 28380x5 + 16995x4 + 250470x3 - 123816x2 - 157038x + 640875 $\PGL(2,11)$ $1$ $-1$
11.192...521.24t2949.a.a $11$ $ 11^{12} \cdot 19^{10}$ x12 - 4x11 + 22x10 - 55x9 + 132x7 - 253x6 + 264x5 - 330x4 + 275x3 - 44x2 - 24x - 344 $\PGL(2,11)$ $1$ $-1$
11.208...176.24t2949.a.a $11$ $ 2^{8} \cdot 11^{22}$ x12 - 4x11 + 22x10 - 110x9 + 165x8 - 440x6 + 660x5 - 825x4 + 1100x3 - 550x2 + 50x - 1861 $\PGL(2,11)$ $1$ $-1$
11.402...736.12t218.b.a $11$ $ 2^{10} \cdot 11^{11} \cdot 13^{10}$ x12 - x11 + 11x10 - 55x9 + 66x7 - 176x6 + 66x5 - 165x4 + 275x3 - 11x2 - 19x - 652 $\PGL(2,11)$ $1$ $1$
11.402...736.12t218.a.a $11$ $ 2^{10} \cdot 11^{11} \cdot 13^{10}$ x12 - 4x11 - 286x9 + 1287x8 - 2288x6 - 1716x5 - 15873x4 + 2860x3 - 41184x2 + 2002x - 16159 $\PGL(2,11)$ $1$ $1$
11.523...921.24t2949.a.a $11$ $ 3^{10} \cdot 7^{10} \cdot 11^{12}$ x12 - x11 + 22x10 - 165x8 + 66x7 - 231x6 + 132x5 - 825x4 + 55x3 + 539x2 - 59x - 3846 $\PGL(2,11)$ $1$ $-1$
11.110...024.24t2949.a.a $11$ $ 2^{8} \cdot 11^{12} \cdot 13^{10}$ x12 - 2x11 - 44x10 + 44x9 + 847x8 - 924x7 - 8844x6 + 19272x5 + 20075x4 - 156442x3 + 83600x2 + 359236x - 470323 $\PGL(2,11)$ $1$ $-1$
11.168...000.12t218.a.a $11$ $ 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 11^{11}$ x12 - 2x11 + 330x9 - 495x8 + 396x7 + 28248x6 - 28380x5 + 16995x4 + 250470x3 - 123816x2 - 157038x + 640875 $\PGL(2,11)$ $1$ $1$
11.436...339.12t218.a.a $11$ $ 3^{10} \cdot 11^{21}$ x12 - x11 - 11x10 + 231x8 - 1254x7 - 9504x6 + 43362x5 + 99660x4 - 430265x3 - 429946x2 + 983998x + 987873 $\PGL(2,11)$ $1$ $1$
11.443...096.24t2949.b.a $11$ $ 2^{10} \cdot 11^{12} \cdot 13^{10}$ x12 - x11 + 11x10 - 55x9 + 66x7 - 176x6 + 66x5 - 165x4 + 275x3 - 11x2 - 19x - 652 $\PGL(2,11)$ $1$ $-1$
11.443...096.24t2949.a.a $11$ $ 2^{10} \cdot 11^{12} \cdot 13^{10}$ x12 - 4x11 - 286x9 + 1287x8 - 2288x6 - 1716x5 - 15873x4 + 2860x3 - 41184x2 + 2002x - 16159 $\PGL(2,11)$ $1$ $-1$
11.588...136.12t218.a.a $11$ $ 2^{10} \cdot 11^{11} \cdot 17^{10}$ x12 - 2x11 - 44x10 - 110x9 - 495x8 - 132x7 - 9020x6 + 8272x5 - 40425x4 + 66330x3 - 605044x2 - 512618x - 2331249 $\PGL(2,11)$ $1$ $1$
11.787...875.12t218.a.a $11$ $ 5^{10} \cdot 7^{10} \cdot 11^{11}$ x12 - 4x11 - 22x10 - 55x9 - 132x7 - 77x6 + 264x5 + 330x4 + 275x3 - 44x2 + 56x - 1192 $\PGL(2,11)$ $1$ $1$
11.137...739.12t218.a.a $11$ $ 11^{11} \cdot 37^{10}$ x12 - 22x10 - 55x9 - 165x8 - 132x7 + 55x6 - 66x5 - 495x4 - 385x3 - 319x2 - 55x - 1331 $\PGL(2,11)$ $1$ $1$
11.137...739.12t218.b.a $11$ $ 11^{11} \cdot 37^{10}$ x12 - 4x11 - 11x10 + 55x9 + 99x8 + 803x7 - 7414x6 + 2255x5 + 26334x4 + 115764x3 - 246488x2 - 809024x + 1821056 $\PGL(2,11)$ $1$ $1$
11.179...864.12t218.b.a $11$ $ 2^{10} \cdot 11^{11} \cdot 19^{10}$ x12 - 5x11 + 11x10 - 275x9 + 990x8 - 1650x7 - 2090x6 + 8250x5 - 9075x4 + 34375x3 - 38225x2 + 15625x - 359164 $\PGL(2,11)$ $1$ $1$
11.179...864.12t218.a.a $11$ $ 2^{10} \cdot 11^{11} \cdot 19^{10}$ x12 - x11 - 11x10 + 55x9 - 396x8 - 1782x7 + 12518x6 + 64856x5 - 33033x4 - 349701x3 - 1173073x2 - 503293x - 917874 $\PGL(2,11)$ $1$ $1$
11.232...211.12t218.a.a $11$ $ 3^{10} \cdot 11^{11} \cdot 13^{10}$ x12 - 5x11 + 22x10 - 165x8 + 330x7 - 495x6 + 660x5 - 825x4 + 275x3 + 275x2 - 175x - 1446 $\PGL(2,11)$ $1$ $1$
11.480...729.24t2949.a.a $11$ $ 3^{10} \cdot 11^{22}$ x12 - x11 - 11x10 + 231x8 - 1254x7 - 9504x6 + 43362x5 + 99660x4 - 430265x3 - 429946x2 + 983998x + 987873 $\PGL(2,11)$ $1$ $-1$
11.487...464.12t218.a.a $11$ $ 2^{10} \cdot 3^{10} \cdot 7^{10} \cdot 11^{11}$ x12 - 6x11 - 44x9 + 198x8 + 9504x7 - 462x6 + 85140x5 + 67122x4 + 171094x3 + 642378x2 + 74142x + 869164 $\PGL(2,11)$ $1$ $1$
11.616...139.12t218.a.a $11$ $ 11^{11} \cdot 43^{10}$ x12 - 4x11 - 55x9 + 165x8 - 264x7 + 11x6 + 330x5 - 165x4 + 495x3 - 451x2 + 169x - 1809 $\PGL(2,11)$ $1$ $1$
11.647...496.24t2949.a.a $11$ $ 2^{10} \cdot 11^{12} \cdot 17^{10}$ x12 - 2x11 - 44x10 - 110x9 - 495x8 - 132x7 - 9020x6 + 8272x5 - 40425x4 + 66330x3 - 605044x2 - 512618x - 2331249 $\PGL(2,11)$ $1$ $-1$
11.865...625.24t2949.a.a $11$ $ 5^{10} \cdot 7^{10} \cdot 11^{12}$ x12 - 4x11 - 22x10 - 55x9 - 132x7 - 77x6 + 264x5 + 330x4 + 275x3 - 44x2 + 56x - 1192 $\PGL(2,11)$ $1$ $-1$
11.121...936.12t218.a.a $11$ $ 2^{10} \cdot 11^{11} \cdot 23^{10}$ x12 - 2x11 - 88x10 + 462x9 + 1221x8 - 17996x7 + 47080x6 + 68200x5 - 547569x4 + 2920566x3 - 12322816x2 + 12589690x + 16340659 $\PGL(2,11)$ $1$ $1$
11.150...129.24t2949.a.a $11$ $ 11^{12} \cdot 37^{10}$ x12 - 22x10 - 55x9 - 165x8 - 132x7 + 55x6 - 66x5 - 495x4 - 385x3 - 319x2 - 55x - 1331 $\PGL(2,11)$ $1$ $-1$
11.150...129.24t2949.b.a $11$ $ 11^{12} \cdot 37^{10}$ x12 - 4x11 - 11x10 + 55x9 + 99x8 + 803x7 - 7414x6 + 2255x5 + 26334x4 + 115764x3 - 246488x2 - 809024x + 1821056 $\PGL(2,11)$ $1$ $-1$
11.197...504.24t2949.b.a $11$ $ 2^{10} \cdot 11^{12} \cdot 19^{10}$ x12 - 5x11 + 11x10 - 275x9 + 990x8 - 1650x7 - 2090x6 + 8250x5 - 9075x4 + 34375x3 - 38225x2 + 15625x - 359164 $\PGL(2,11)$ $1$ $-1$
11.197...504.24t2949.a.a $11$ $ 2^{10} \cdot 11^{12} \cdot 19^{10}$ x12 - x11 - 11x10 + 55x9 - 396x8 - 1782x7 + 12518x6 + 64856x5 - 33033x4 - 349701x3 - 1173073x2 - 503293x - 917874 $\PGL(2,11)$ $1$ $-1$
11.255...321.24t2949.a.a $11$ $ 3^{10} \cdot 11^{12} \cdot 13^{10}$ x12 - 5x11 + 22x10 - 165x8 + 330x7 - 495x6 + 660x5 - 825x4 + 275x3 + 275x2 - 175x - 1446 $\PGL(2,11)$ $1$ $-1$
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