J_{3}.2

3^{2}.3^{1+2} : 8.2 25840 1a^{+} +324a^{+} + 1140a^{+} + 1215a^{±}b^{±} + 1615a^{+} + 1920a^{+}b^{+}c^{+} + 1938ab + 2432a^{+}

+ 2754a^{+} + 3078a^{+}

15

Character Numbers:[ 1, 5, 10, 12, 13, 14, 15, 16, 18, 20, 22, 24, 25, 27, 29 ]

S_{1}  S_{2}  S_{3}  S_{4}  S_{5}
χ_{1} 1  81  243  243  972
χ_{2} 1  21  −17  63  −78
χ_{3} 1  21  3  −5  46
χ_{4} 1  8 − r17  22 + 3r17  13 + 2r17  −12 + 8r17
χ_{5} 1  4 + 3r17  3 − 2r17  −22 − 3r17  12 − 8r17
χ_{6} 1  8 + r17  22 − 3r17  13 − 2r17  −12 − 8r17
χ_{7} 1  4 − 3r17  3 + 2r17  −22 + 3r17  12 + 8r17
χ_{8} 1  9  −3  13  4
χ_{9} 1 −34 + 3y9 − 27y9 ∗ 2 −44 − 8y9 − 10y9 ∗ 2 40 + 6y9 − 12y9 ∗ 2 −6 + 18y9 + 54y9 ∗ 2
χ_{10} 1 −34 + 27y9 + 30y9 ∗ 2 −44 + 10y9 + 2y9 ∗ 2 40 + 12y9 + 18y9 ∗ 2 −6 − 54y9 − 36y9 ∗ 2
χ_{11} 1 −34 − 30y9 − 3y9 ∗ 2 −44 − 2y9 + 8y9 ∗ 2 40 − 18y9 − 6y9 ∗ 2 −6 + 36y9 + 18y9 ∗ 2
χ_{12} 1  3  −15  −5  −8
χ_{13} 1  −9  −12  13  22
χ_{14} 1  −7  −15  −15  12
χ_{15} 1  −9  13  3  −48

S_{6}  S_{7}  S_{8}  S_{9}  S_{10}
χ_{1}  972  1944  1944  1944  1944
χ_{2}  22  164  −16  44  24
χ_{3}  42  −44  −64  −28  40
χ_{4}  8 − 4r17  −60 + 12r17  −20 − 12r17  16 − 8r17  24
χ_{5}  8 + 4r17  20b17  72 − 8r17  −28 − 12r17  −28 − 12r17
χ_{6}  8 + 4r17  −60 − 12r17  −8 + 24b17  16 + 8r17  24
χ_{7}  8 − 4r17  −10 − 10r17  72 + 8r17  −28 + 12r17  −28 + 12r17
χ_{8}  −12  28  32  80  −80
χ_{9} −12 − 30y9 − 3y9 ∗ 2 19 + 34y9 + 20y9 ∗ 2 14 + 10y9 + 8y9 ∗ 2 38 − 36y9 − 24y9 ∗ 2 27y9 + 12y9 ∗ 2
χ_{10} −12 + 3y9 − 27y9 ∗ 2 19 − 20y9 + 14y9 ∗ 2 14 − 8y9 + 2y9 ∗ 2 38 + 24y9 − 12y9 ∗ 2 −12y9 + 15y9 ∗ 2
χ_{11} −12 + 27y9 + 30y9 ∗ 2 19 − 14y9 − 34y9 ∗ 2 14 − 2y9 − 10y9 ∗ 2 38 + 12y9 + 36y9 ∗ 2 −15y9 − 27y9 ∗ 2
χ_{12}  −48  −8  8  8  40
χ_{13}  42  −26  14  −1  −44
χ_{14}  12  12  −72  48  0
χ_{15}  −8  −16  −16  −16  −24

S_{11}  S_{12}  S_{13}  S_{14}  S_{15}
χ_{1}  1944  1944  3888  3888  3888
χ_{2}  −16  164  −232  −152  8
χ_{3}  96  12  −24  8  −104
χ_{4}  −64 + 8r17  −16 − 8r17  24 + 8r17  −8 − 24r17  64 + 16r17
χ_{5}  −6 − 2r17  46 − 6r17  10 + 6r17  −94 + 14r17  32 + 16r17
χ_{6}  −64 − 8r17  −16 + 8r17  24 − 8r17  −8 + 24r17  64 − 16r17
χ_{7}  −6 + 2r17  46 + 6r17  10 − 6r17  −94 − 14r17  32 − 16r17
χ_{8}  12  −60  84  −28  −80
χ_{9} 1 − 3y9 + 9y9 ∗ 2 −30 + 7y9 − 4y9 ∗ 2 10 − 22y9 − 8y9 ∗ 2 6 − 4y9 − 14y9 ∗ 2 −3 − 2y9 − y9 ∗ 2
χ_{10} 1 − 9y9 − 12y9 ∗ 2 −30 + 4y9 + 11y9 ∗ 2 10 + 8y9 − 14y9 ∗ 2 6 + 14y9 + 10y9 ∗ 2 −3 + y9 − y9 ∗ 2
χ_{11} 1 + 12y9 + 3y9 ∗ 2 −30 − 11y9 − 7y9 ∗ 2 10 + 14y9 + 22y9 ∗ 2 6 − 10y9 + 4y9 ∗ 2 −3 + y9 + 2y9 ∗ 2
χ_{12}  24  −24  −24  8  40
χ_{13}  21  −33  −78  26  64
χ_{14}  −36  36  36  −12  0
χ_{15}  56  32  32  16  −16

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