Properties

Label 22T47
Order \(79833600\)
n \(22\)
Cyclic No
Abelian No
Solvable No
Primitive No
$p$-group No

Related objects

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Group action invariants

Degree $n$ :  $22$
Transitive number $t$ :  $47$
CHM label :  $t22n47$
Parity:  $-1$
Primitive:  No
Generators:   ( 1,15,10, 8, 6,20,12)( 2,16, 9, 7, 5,19,11)( 3,17,22,13)( 4,18,21,14), ( 1,13,20,22,18, 7, 4,16,10,11, 6, 2,14,19,21,17, 8, 3,15, 9,12, 5)
$|\Aut(F/K)|$:  $2$
Low degree resolvents:  
2: 2T1, 2T1, 2T1
4: 4T2
39916800: 11T8

Subfields

Degree 2: $C_2$

Degree 11: $S_{11}$

Low degree siblings

22T47b
A number field with this Galois group has no arithmetically equivalent fields.

Conjugacy Classes

Cycle TypeSizeOrderRepresentative
$ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $1$ $1$ $()$
$ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 $ $1$ $2$ $( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12)(13,14)(15,16)(17,18)(19,20)(21,22)$
$ 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $990$ $2$ $( 7,17)( 8,18)(13,22)(14,21)$
$ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 $ $990$ $2$ $( 1, 2)( 3, 4)( 5, 6)( 7,18)( 8,17)( 9,10)(11,12)(13,21)(14,22)(15,16)(19,20)$
$ 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $11088$ $5$ $( 1,15,20,10, 6)( 2,16,19, 9, 5)$
$ 10, 2, 2, 2, 2, 2, 2 $ $11088$ $10$ $( 1,16,20, 9, 6, 2,15,19,10, 5)( 3, 4)( 7, 8)(11,12)(13,14)(17,18)(21,22)$
$ 10, 2, 2, 2, 2, 2, 2 $ $498960$ $10$ $( 1, 9,15, 5,20, 2,10,16, 6,19)( 3, 4)( 7,18)( 8,17)(11,12)(13,21)(14,22)$
$ 5, 5, 2, 2, 2, 2, 1, 1, 1, 1 $ $498960$ $10$ $( 1,10,15, 6,20)( 2, 9,16, 5,19)( 7,17)( 8,18)(13,22)(14,21)$
$ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 $ $6930$ $2$ $( 1, 2)( 3,12)( 4,11)( 5, 6)( 7,21)( 8,22)( 9,10)(13,18)(14,17)(15,16)(19,20)$
$ 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $6930$ $2$ $( 3,11)( 4,12)( 7,22)( 8,21)(13,17)(14,18)$
$ 10, 2, 2, 2, 2, 2, 2 $ $166320$ $10$ $( 1,19, 6,16,10, 2,20, 5,15, 9)( 3,12)( 4,11)( 7,21)( 8,22)(13,18)(14,17)$
$ 5, 5, 2, 2, 2, 2, 2, 2 $ $166320$ $10$ $( 1,20, 6,15,10)( 2,19, 5,16, 9)( 3,11)( 4,12)( 7,22)( 8,21)(13,17)(14,18)$
$ 6, 6, 2, 2, 2, 2, 2 $ $18480$ $6$ $( 1, 2)( 3,21,17, 4,22,18)( 5, 6)( 7,14,11, 8,13,12)( 9,10)(15,16)(19,20)$
$ 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $18480$ $3$ $( 3,22,17)( 4,21,18)( 7,13,11)( 8,14,12)$
$ 5, 5, 3, 3, 3, 3 $ $443520$ $15$ $( 1,15,20,10, 6)( 2,16,19, 9, 5)( 3,17,22)( 4,18,21)( 7,11,13)( 8,12,14)$
$ 10, 6, 6 $ $443520$ $30$ $( 1,16,20, 9, 6, 2,15,19,10, 5)( 3,18,22, 4,17,21)( 7,12,13, 8,11,14)$
$ 6, 6, 2, 2, 2, 2, 2 $ $55440$ $6$ $( 1, 2)( 3,12,17,14,22, 8)( 4,11,18,13,21, 7)( 5, 6)( 9,10)(15,16)(19,20)$
$ 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $55440$ $6$ $( 3,11,17,13,22, 7)( 4,12,18,14,21, 8)$
$ 10, 6, 6 $ $1330560$ $30$ $( 1,16,20, 9, 6, 2,15,19,10, 5)( 3, 8,22,14,17,12)( 4, 7,21,13,18,11)$
$ 6, 6, 5, 5 $ $1330560$ $30$ $( 1,15,20,10, 6)( 2,16,19, 9, 5)( 3, 7,22,13,17,11)( 4, 8,21,14,18,12)$
$ 5, 5, 5, 5, 1, 1 $ $798336$ $5$ $( 1, 6,10,20,15)( 2, 5, 9,19,16)( 3, 7,13,11,17)( 4, 8,14,12,18)$
$ 10, 10, 2 $ $798336$ $10$ $( 1, 5,10,19,15, 2, 6, 9,20,16)( 3, 8,13,12,17, 4, 7,14,11,18)(21,22)$
$ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 $ $10395$ $2$ $( 1,13)( 2,14)( 3,18)( 4,17)( 5, 8)( 6, 7)( 9,12)(10,11)(15,19)(16,20)(21,22)$
$ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1 $ $10395$ $2$ $( 1,14)( 2,13)( 3,17)( 4,18)( 5, 7)( 6, 8)( 9,11)(10,12)(15,20)(16,19)$
$ 10, 10, 2 $ $3991680$ $10$ $( 1, 7, 4, 9,20,13, 6,17,12,16)( 2, 8, 3,10,19,14, 5,18,11,15)(21,22)$
$ 10, 10, 1, 1 $ $3991680$ $10$ $( 1, 8, 4,10,20,14, 6,18,12,15)( 2, 7, 3, 9,19,13, 5,17,11,16)$
$ 3, 3, 3, 3, 3, 3, 1, 1, 1, 1 $ $123200$ $3$ $( 1, 4,12)( 2, 3,11)( 5,19,22)( 6,20,21)( 7,17,16)( 8,18,15)$
$ 6, 6, 6, 2, 2 $ $123200$ $6$ $( 1, 3,12, 2, 4,11)( 5,20,22, 6,19,21)( 7,18,16, 8,17,15)( 9,10)(13,14)$
$ 18, 2, 2 $ $2217600$ $18$ $( 1,19, 8, 3,21,17,12, 5,15, 2,20, 7, 4,22,18,11, 6,16)( 9,10)(13,14)$
$ 9, 9, 1, 1, 1, 1 $ $2217600$ $9$ $( 1,20, 8, 4,21,18,12, 6,15)( 2,19, 7, 3,22,17,11, 5,16)$
$ 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $55$ $2$ $( 9,13)(10,14)$
$ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 $ $55$ $2$ $( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,14)(10,13)(11,12)(15,16)(17,18)(19,20)(21,22)$
$ 6, 6, 6, 2, 2 $ $123200$ $6$ $( 1,11, 4, 2,12, 3)( 5,21,19, 6,22,20)( 7,15,17, 8,16,18)( 9,14)(10,13)$
$ 3, 3, 3, 3, 3, 3, 2, 2 $ $123200$ $6$ $( 1,12, 4)( 2,11, 3)( 5,22,19)( 6,21,20)( 7,16,17)( 8,15,18)( 9,13)(10,14)$
$ 18, 2, 2 $ $2217600$ $18$ $( 1,16, 6,11,18,22, 4, 7,20, 2,15, 5,12,17,21, 3, 8,19)( 9,14)(10,13)$
$ 9, 9, 2, 2 $ $2217600$ $18$ $( 1,15, 6,12,18,21, 4, 8,20)( 2,16, 5,11,17,22, 3, 7,19)( 9,13)(10,14)$
$ 6, 2, 2, 2, 2, 2, 2, 2, 2 $ $330$ $6$ $( 1, 2)( 3, 4)( 5, 6)( 7,15,17, 8,16,18)( 9,10)(11,12)(13,14)(19,20)(21,22)$
$ 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $330$ $3$ $( 7,16,17)( 8,15,18)$
$ 6, 2, 2, 2, 2, 2, 2, 2, 2 $ $138600$ $6$ $( 1,22)( 2,21)( 3, 6)( 4, 5)( 7,18,16, 8,17,15)( 9,10)(11,20)(12,19)(13,14)$
$ 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1 $ $138600$ $6$ $( 1,21)( 2,22)( 3, 5)( 4, 6)( 7,17,16)( 8,18,15)(11,19)(12,20)$
$ 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 $ $17325$ $2$ $( 1, 5)( 2, 6)( 3,21)( 4,22)( 7, 8)( 9,14)(10,13)(11,20)(12,19)(15,16)(17,18)$
$ 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1 $ $17325$ $2$ $( 1, 6)( 2, 5)( 3,22)( 4,21)( 9,13)(10,14)(11,19)(12,20)$
$ 6, 2, 2, 2, 2, 2, 2, 2, 2 $ $34650$ $6$ $( 1, 5)( 2, 6)( 3,21)( 4,22)( 7,15,17, 8,16,18)( 9,14)(10,13)(11,20)(12,19)$
$ 3, 3, 2, 2, 2, 2, 2, 2, 2, 2 $ $34650$ $6$ $( 1, 6)( 2, 5)( 3,22)( 4,21)( 7,16,17)( 8,15,18)( 9,13)(10,14)(11,19)(12,20)$
$ 4, 4, 2, 2, 2, 2, 2, 2, 2 $ $41580$ $4$ $( 1, 2)( 3,21)( 4,22)( 5, 6)( 7, 8)( 9,20,13,12)(10,19,14,11)(15,16)(17,18)$
$ 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $41580$ $4$ $( 3,22)( 4,21)( 9,19,13,11)(10,20,14,12)$
$ 4, 4, 4, 4, 2, 2, 1, 1 $ $623700$ $4$ $( 1, 6,18,15)( 2, 5,17,16)( 3,22)( 4,21)( 9,11,13,19)(10,12,14,20)$
$ 4, 4, 4, 4, 2, 2, 2 $ $623700$ $4$ $( 1, 5,18,16)( 2, 6,17,15)( 3,21)( 4,22)( 7, 8)( 9,12,13,20)(10,11,14,19)$
$ 4, 4, 4, 4, 2, 2, 2 $ $207900$ $4$ $( 1, 5,18,16)( 2, 6,17,15)( 3, 4)( 7, 8)( 9,12,13,20)(10,11,14,19)(21,22)$
$ 4, 4, 4, 4, 1, 1, 1, 1, 1, 1 $ $207900$ $4$ $( 1, 6,18,15)( 2, 5,17,16)( 9,11,13,19)(10,12,14,20)$
$ 8, 8, 2, 2, 2 $ $2494800$ $8$ $( 1,19, 6, 9,18,11,15,13)( 2,20, 5,10,17,12,16,14)( 3,21)( 4,22)( 7, 8)$
$ 8, 8, 2, 2, 1, 1 $ $2494800$ $8$ $( 1,20, 6,10,18,12,15,14)( 2,19, 5, 9,17,11,16,13)( 3,22)( 4,21)$
$ 4, 4, 2, 2, 2, 2, 2, 2, 2 $ $207900$ $4$ $( 1, 5)( 2, 6)( 3,10,22,14)( 4, 9,21,13)( 7,18)( 8,17)(11,12)(15,16)(19,20)$
$ 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1 $ $207900$ $4$ $( 1, 6)( 2, 5)( 3, 9,22,13)( 4,10,21,14)( 7,17)( 8,18)$
$ 6, 2, 2, 2, 2, 2, 2, 2, 2 $ $69300$ $6$ $( 1, 5,18, 2, 6,17)( 3,21)( 4,22)( 7,15)( 8,16)( 9,10)(11,12)(13,14)(19,20)$
$ 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 $ $69300$ $6$ $( 1, 6,18)( 2, 5,17)( 3,22)( 4,21)( 7,16)( 8,15)$
$ 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1 $ $184800$ $6$ $( 1,18, 6)( 2,17, 5)( 7,16)( 8,15)( 9,19,11)(10,20,12)$
$ 6, 6, 2, 2, 2, 2, 2 $ $184800$ $6$ $( 1,17, 6, 2,18, 5)( 3, 4)( 7,15)( 8,16)( 9,20,11,10,19,12)(13,14)(21,22)$
$ 6, 4, 4, 2, 2, 2, 2 $ $415800$ $12$ $( 1, 3)( 2, 4)( 5,21)( 6,22)( 7,15,17, 8,16,18)( 9,12,13,20)(10,11,14,19)$
$ 4, 4, 3, 3, 2, 2, 2, 2 $ $415800$ $12$ $( 1, 4)( 2, 3)( 5,22)( 6,21)( 7,16,17)( 8,15,18)( 9,11,13,19)(10,12,14,20)$
$ 4, 4, 2, 2, 2, 2, 2, 2, 2 $ $1980$ $4$ $( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,20,13,12)(10,19,14,11)(15,16)(17,18)(21,22)$
$ 4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $1980$ $4$ $( 9,19,13,11)(10,20,14,12)$
$ 4, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1 $ $138600$ $12$ $( 7,17,16)( 8,18,15)( 9,11,13,19)(10,12,14,20)$
$ 6, 4, 4, 2, 2, 2, 2 $ $138600$ $12$ $( 1, 2)( 3, 4)( 5, 6)( 7,18,16, 8,17,15)( 9,12,13,20)(10,11,14,19)(21,22)$
$ 7, 7, 1, 1, 1, 1, 1, 1, 1, 1 $ $237600$ $7$ $( 1,18,15, 6,21, 8, 4)( 2,17,16, 5,22, 7, 3)$
$ 14, 2, 2, 2, 2 $ $237600$ $14$ $( 1,17,15, 5,21, 7, 4, 2,18,16, 6,22, 8, 3)( 9,10)(11,12)(13,14)(19,20)$
$ 10, 2, 2, 2, 2, 2, 2 $ $166320$ $10$ $( 1, 5,10,19,14, 2, 6, 9,20,13)( 3,12)( 4,11)( 7, 8)(15,16)(17,18)(21,22)$
$ 5, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1 $ $166320$ $10$ $( 1, 6,10,20,14)( 2, 5, 9,19,13)( 3,11)( 4,12)$
$ 5, 5, 4, 4, 1, 1, 1, 1 $ $997920$ $20$ $( 1,20, 6,14,10)( 2,19, 5,13, 9)( 7,16,17,22)( 8,15,18,21)$
$ 10, 4, 4, 2, 2 $ $997920$ $20$ $( 1,19, 6,13,10, 2,20, 5,14, 9)( 3, 4)( 7,15,17,21)( 8,16,18,22)(11,12)$
$ 10, 4, 4, 2, 2 $ $997920$ $20$ $( 1,19, 6,13,10, 2,20, 5,14, 9)( 3,12)( 4,11)( 7,15,17,21)( 8,16,18,22)$
$ 5, 5, 4, 4, 2, 2 $ $997920$ $20$ $( 1,20, 6,14,10)( 2,19, 5,13, 9)( 3,11)( 4,12)( 7,16,17,22)( 8,15,18,21)$
$ 6, 2, 2, 2, 2, 2, 2, 2, 2 $ $9240$ $6$ $( 1, 2)( 3, 4)( 5, 6)( 7,12)( 8,11)( 9,10)(13,21,17,14,22,18)(15,16)(19,20)$
$ 3, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 $ $9240$ $6$ $( 7,11)( 8,12)(13,22,17)(14,21,18)$
$ 5, 5, 3, 3, 1, 1, 1, 1, 1, 1 $ $443520$ $15$ $( 1,20, 4, 6,10)( 2,19, 3, 5, 9)(13,17,22)(14,18,21)$
$ 10, 6, 2, 2, 2 $ $443520$ $30$ $( 1,19, 4, 5,10, 2,20, 3, 6, 9)( 7, 8)(11,12)(13,18,22,14,17,21)(15,16)$
$ 5, 5, 3, 3, 2, 2, 1, 1 $ $1330560$ $30$ $( 1, 6,20,10, 4)( 2, 5,19, 9, 3)( 7,11)( 8,12)(13,22,17)(14,21,18)$
$ 10, 6, 2, 2, 2 $ $1330560$ $30$ $( 1, 5,20, 9, 4, 2, 6,19,10, 3)( 7,12)( 8,11)(13,21,17,14,22,18)(15,16)$
$ 14, 6, 2 $ $1900800$ $42$ $( 1, 9,14, 2,10,13)( 3, 6,19,12,16,21, 7, 4, 5,20,11,15,22, 8)(17,18)$
$ 7, 7, 3, 3, 1, 1 $ $1900800$ $21$ $( 1,10,14)( 2, 9,13)( 3, 5,19,11,16,22, 7)( 4, 6,20,12,15,21, 8)$
$ 4, 4, 2, 2, 2, 2, 2, 2, 1, 1 $ $207900$ $4$ $( 1,18, 4,10)( 2,17, 3, 9)( 7,19)( 8,20)(11,13)(12,14)(15,21)(16,22)$
$ 4, 4, 2, 2, 2, 2, 2, 2, 2 $ $207900$ $4$ $( 1,17, 4, 9)( 2,18, 3,10)( 5, 6)( 7,20)( 8,19)(11,14)(12,13)(15,22)(16,21)$
$ 3, 3, 3, 3, 2, 2, 2, 2, 1, 1 $ $277200$ $6$ $( 1, 4)( 2, 3)( 7,13,22)( 8,14,21)( 9,17)(10,18)(11,16,19)(12,15,20)$
$ 6, 6, 2, 2, 2, 2, 2 $ $277200$ $6$ $( 1, 3)( 2, 4)( 5, 6)( 7,14,22, 8,13,21)( 9,18)(10,17)(11,15,19,12,16,20)$
$ 6, 6, 4, 4, 2 $ $1663200$ $12$ $( 1, 9, 4,17)( 2,10, 3,18)( 5, 6)( 7,15,13,20,22,12)( 8,16,14,19,21,11)$
$ 6, 6, 4, 4, 1, 1 $ $1663200$ $12$ $( 1,10, 4,18)( 2, 9, 3,17)( 7,16,13,19,22,11)( 8,15,14,20,21,12)$
$ 8, 8, 2, 2, 2 $ $831600$ $8$ $( 1,13,15,11,18, 9, 6,19)( 2,14,16,12,17,10, 5,20)( 3, 4)( 7, 8)(21,22)$
$ 8, 8, 1, 1, 1, 1, 1, 1 $ $831600$ $8$ $( 1,14,15,12,18,10, 6,20)( 2,13,16,11,17, 9, 5,19)$
$ 4, 4, 3, 3, 3, 3, 1, 1 $ $554400$ $12$ $( 1, 8,14, 6)( 2, 7,13, 5)( 3,11,19)( 4,12,20)( 9,16,17)(10,15,18)$
$ 6, 6, 4, 4, 2 $ $554400$ $12$ $( 1, 7,14, 5)( 2, 8,13, 6)( 3,12,19, 4,11,20)( 9,15,17,10,16,18)(21,22)$
$ 6, 6, 2, 2, 2, 2, 2 $ $554400$ $6$ $( 1, 9, 8,19, 6,16)( 2,10, 7,20, 5,15)( 3, 4)(11,14)(12,13)(17,18)(21,22)$
$ 6, 6, 2, 2, 1, 1, 1, 1, 1, 1 $ $554400$ $6$ $( 1,10, 8,20, 6,15)( 2, 9, 7,19, 5,16)(11,13)(12,14)$
$ 6, 6, 6, 2, 2 $ $1108800$ $6$ $( 1, 9,15, 2,10,16)( 3, 8,22,14,17,12)( 4, 7,21,13,18,11)( 5,20)( 6,19)$
$ 6, 6, 3, 3, 2, 2 $ $1108800$ $6$ $( 1,10,15)( 2, 9,16)( 3, 7,22,13,17,11)( 4, 8,21,14,18,12)( 5,19)( 6,20)$
$ 6, 6, 3, 3, 1, 1, 1, 1 $ $1108800$ $6$ $( 1,15,10)( 2,16, 9)( 3, 7,22,13,17,11)( 4, 8,21,14,18,12)$
$ 6, 6, 6, 2, 2 $ $1108800$ $6$ $( 1,16,10, 2,15, 9)( 3, 8,22,14,17,12)( 4, 7,21,13,18,11)( 5, 6)(19,20)$
$ 6, 4, 4, 2, 2, 2, 2 $ $831600$ $12$ $( 1, 3,10, 5)( 2, 4, 9, 6)( 7,12)( 8,11)(13,21,17,14,22,18)(15,16)(19,20)$
$ 4, 4, 3, 3, 2, 2, 1, 1, 1, 1 $ $831600$ $12$ $( 1, 4,10, 6)( 2, 3, 9, 5)( 7,11)( 8,12)(13,22,17)(14,21,18)$
$ 14, 2, 2, 2, 2 $ $1425600$ $14$ $( 1,17,20, 3, 8, 5,21, 2,18,19, 4, 7, 6,22)( 9,10)(11,15)(12,16)(13,14)$
$ 7, 7, 2, 2, 1, 1, 1, 1 $ $1425600$ $14$ $( 1,18,20, 4, 8, 6,21)( 2,17,19, 3, 7, 5,22)(11,16)(12,15)$
$ 7, 7, 2, 2, 2, 2 $ $712800$ $14$ $( 1,20, 8,21,18, 4, 6)( 2,19, 7,22,17, 3, 5)( 9,13)(10,14)(11,16)(12,15)$
$ 14, 2, 2, 2, 2 $ $712800$ $14$ $( 1,19, 8,22,18, 3, 6, 2,20, 7,21,17, 4, 5)( 9,14)(10,13)(11,15)(12,16)$
$ 14, 4, 4 $ $1425600$ $28$ $( 1, 7,18, 5,20,22, 4, 2, 8,17, 6,19,21, 3)( 9,12,13,15)(10,11,14,16)$
$ 7, 7, 4, 4 $ $1425600$ $28$ $( 1, 8,18, 6,20,21, 4)( 2, 7,17, 5,19,22, 3)( 9,11,13,16)(10,12,14,15)$
$ 6, 4, 4, 4, 4 $ $415800$ $12$ $( 1, 3, 6,22)( 2, 4, 5,21)( 7,15,17, 8,16,18)( 9,20,13,12)(10,19,14,11)$
$ 4, 4, 4, 4, 3, 3 $ $415800$ $12$ $( 1, 4, 6,21)( 2, 3, 5,22)( 7,16,17)( 8,15,18)( 9,19,13,11)(10,20,14,12)$
$ 8, 8, 3, 3 $ $1663200$ $24$ $( 1,14,15,12,18,10, 6,20)( 2,13,16,11,17, 9, 5,19)( 3,22, 7)( 4,21, 8)$
$ 8, 8, 6 $ $1663200$ $24$ $( 1,13,15,11,18, 9, 6,19)( 2,14,16,12,17,10, 5,20)( 3,21, 7, 4,22, 8)$
$ 22 $ $3628800$ $22$ $( 1,16, 6,19,12,22, 4,13,10,17, 8, 2,15, 5,20,11,21, 3,14, 9,18, 7)$
$ 11, 11 $ $3628800$ $11$ $( 1,15, 6,20,12,21, 4,14,10,18, 8)( 2,16, 5,19,11,22, 3,13, 9,17, 7)$
$ 6, 6, 2, 2, 2, 2, 2 $ $831600$ $6$ $( 1,16)( 2,15)( 3, 8,17,12,22,14)( 4, 7,18,11,21,13)( 5,20)( 6,19)( 9,10)$
$ 6, 6, 2, 2, 2, 2, 1, 1 $ $831600$ $6$ $( 1,15)( 2,16)( 3, 7,17,11,22,13)( 4, 8,18,12,21,14)( 5,19)( 6,20)$

Group invariants

Order:  $79833600=2^{9} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 11$
Cyclic:  No
Abelian:  No
Solvable:  No
GAP id:  Data not available
Character table:  
       2    9     9   1   1   9   9  7  7  5  5  7  7  5  5   8   8  8  8   8
       3    4     4   .   .   2   2  1  1  .  .  .  .  1  1   3   3  2  2   2
       5    2     2   .   .   .   .  .  .  .  .  .  .  .  .   1   1  .  .   1
       7    1     1   .   .   .   .  .  .  .  .  .  .  .  .   1   1  .  .   1
      11    1     1   1   1   .   .  .  .  .  .  .  .  .  .   .   .  .  .   .

           1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
      2P   1a    1a 11a 11a  1a  1a 2c 2c 4b 4b 2c 2c 4b 4b  3a  3a 3a 3a  1a
      3P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  1a  2a 2c 2b  2d
      5P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
      7P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     11P   1a    2a  2a  1a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     13P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     17P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     19P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     23P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     29P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     31P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     37P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d
     41P   1a    2a 22a 11a  2b  2c 4a 4b 8a 8b 4c 4d 8c 8d  3a  6a 6b 6c  2d

X.1         1     1   1   1   1   1  1  1  1  1  1  1  1  1   1   1  1  1   1
X.2         1    -1  -1   1  -1   1 -1  1  1 -1 -1  1 -1  1   1  -1  1 -1   1
X.3         1    -1  -1   1  -1   1 -1  1  1 -1  1 -1  1 -1   1  -1  1 -1   1
X.4         1     1   1   1   1   1  1  1  1  1 -1 -1 -1 -1   1   1  1  1   1
X.5        10    10  -1  -1   2   2  2  2  .  .  .  .  2  2   7   7 -1 -1   6
X.6        10    10  -1  -1   2   2  2  2  .  .  .  . -2 -2   7   7 -1 -1   6
X.7        10   -10   1  -1  -2   2 -2  2  .  .  .  .  2 -2   7  -7 -1  1   6
X.8        10   -10   1  -1  -2   2 -2  2  .  .  .  . -2  2   7  -7 -1  1   6
X.9        44    44   .   .   4   4  .  .  .  .  .  .  .  .  20  20  4  4  16
X.10       44    44   .   .   4   4  .  .  .  .  .  .  .  .  20  20  4  4  16
X.11       44   -44   .   .  -4   4  .  .  .  .  .  .  .  .  20 -20  4 -4  16
X.12       44   -44   .   .  -4   4  .  .  .  .  .  .  .  .  20 -20  4 -4  16
X.13       45    45   1   1  -3  -3  1  1 -1 -1 -1 -1  1  1  21  21 -3 -3  13
X.14       45    45   1   1  -3  -3  1  1 -1 -1  1  1 -1 -1  21  21 -3 -3  13
X.15       45   -45  -1   1   3  -3 -1  1 -1  1 -1  1  1 -1  21 -21 -3  3  13
X.16       45   -45  -1   1   3  -3 -1  1 -1  1  1 -1 -1  1  21 -21 -3  3  13
X.17      110   110   .   .   6   6 -2 -2  .  .  .  . -2 -2  29  29 -3 -3  26
X.18      110   110   .   .   6   6 -2 -2  .  .  .  .  2  2  29  29 -3 -3  26
X.19      110  -110   .   .  -6   6  2 -2  .  .  .  . -2  2  29 -29 -3  3  26
X.20      110  -110   .   .  -6   6  2 -2  .  .  .  .  2 -2  29 -29 -3  3  26
X.21      120   120  -1  -1  -8  -8  .  .  .  .  .  .  .  .  36  36  4  4   8
X.22      120   120  -1  -1  -8  -8  .  .  .  .  .  .  .  .  36  36  4  4   8
X.23      120  -120   1  -1   8  -8  .  .  .  .  .  .  .  .  36 -36  4 -4   8
X.24      120  -120   1  -1   8  -8  .  .  .  .  .  .  .  .  36 -36  4 -4   8
X.25      132   132   .   .   4   4  4  4  .  .  .  .  .  .   6   6 -2 -2  20
X.26      132   132   .   .   4   4  4  4  .  .  .  .  .  .   6   6 -2 -2  20
X.27      132  -132   .   .  -4   4 -4  4  .  .  .  .  .  .   6  -6 -2  2  20
X.28      132  -132   .   .  -4   4 -4  4  .  .  .  .  .  .   6  -6 -2  2  20
X.29      165   165   .   .   5   5  1  1 -1 -1  1  1 -1 -1  21  21  5  5  29
X.30      165   165   .   .   5   5  1  1 -1 -1 -1 -1  1  1  21  21  5  5  29
X.31      165  -165   .   .  -5   5 -1  1 -1  1  1 -1 -1  1  21 -21  5 -5  29
X.32      165  -165   .   .  -5   5 -1  1 -1  1 -1  1  1 -1  21 -21  5 -5  29
X.33      210   210   1   1   2   2 -2 -2  .  . -2 -2  .  .  42  42  2  2 -14
X.34      210   210   1   1   2   2 -2 -2  .  .  2  2  .  .  42  42  2  2 -14
X.35      210  -210  -1   1  -2   2  2 -2  .  . -2  2  .  .  42 -42  2 -2 -14
X.36      210  -210  -1   1  -2   2  2 -2  .  .  2 -2  .  .  42 -42  2 -2 -14
X.37      231   231   .   .  -1  -1 -1 -1  1  1  1  1 -1 -1  63  63 -1 -1  35
X.38      231   231   .   .  -1  -1 -1 -1  1  1 -1 -1  1  1  63  63 -1 -1  35
X.39      231  -231   .   .   1  -1  1 -1  1 -1  1 -1 -1  1  63 -63 -1  1  35
X.40      231  -231   .   .   1  -1  1 -1  1 -1 -1  1  1 -1  63 -63 -1  1  35
X.41      252  -252   1  -1 -12  12  4 -4  .  .  .  .  .  .  42 -42 -6  6 -28
X.42      252   252  -1  -1  12  12 -4 -4  .  .  .  .  .  .  42  42 -6 -6 -28
X.43      330   330   .   .   2   2  2  2  .  . -2 -2  .  .  -6  -6  2  2  22
X.44      330   330   .   .   2   2  2  2  .  .  2  2  .  .  -6  -6  2  2  22
X.45      330  -330   .   .  -2   2 -2  2  .  . -2  2  .  .  -6   6  2 -2  22
X.46      330  -330   .   .  -2   2 -2  2  .  .  2 -2  .  .  -6   6  2 -2  22
X.47      385   385   .   .   9   9  1  1 -1 -1 -1 -1  1  1  49  49  9  9  21
X.48      385   385   .   .   9   9  1  1 -1 -1  1  1 -1 -1  49  49  9  9  21
X.49      385  -385   .   .  -9   9 -1  1 -1  1 -1  1  1 -1  49 -49  9 -9  21
X.50      385  -385   .   .  -9   9 -1  1 -1  1  1 -1 -1  1  49 -49  9 -9  21
X.51      462  -462   .   .   2  -2 -2  2  .  . -2  2  .  . -42  42 -2  2  14
X.52      462  -462   .   .   2  -2 -2  2  .  .  2 -2  .  . -42  42 -2  2  14
X.53      462   462   .   .  -2  -2  2  2  .  . -2 -2  .  . -42 -42 -2 -2  14
X.54      462   462   .   .  -2  -2  2  2  .  .  2  2  .  . -42 -42 -2 -2  14
X.55      550   550   .   .  -2  -2 -2 -2  .  . -2 -2  .  .  70  70 -2 -2  50
X.56      550   550   .   .  -2  -2 -2 -2  .  .  2  2  .  .  70  70 -2 -2  50
X.57      550  -550   .   .   2  -2  2 -2  .  . -2  2  .  .  70 -70 -2  2  50
X.58      550  -550   .   .   2  -2  2 -2  .  .  2 -2  .  .  70 -70 -2  2  50
X.59      594  -594   .   .   6  -6 -2  2  .  . -2  2  .  .  90 -90 -6  6   6
X.60      594  -594   .   .   6  -6 -2  2  .  .  2 -2  .  .  90 -90 -6  6   6
X.61      594   594   .   .  -6  -6  2  2  .  . -2 -2  .  .  90  90 -6 -6   6
X.62      594   594   .   .  -6  -6  2  2  .  .  2  2  .  .  90  90 -6 -6   6
X.63      660  -660   .   .   4  -4  .  .  .  .  .  .  .  . -36  36 -4  4  16
X.64      660  -660   .   .   4  -4  .  .  .  .  .  .  .  . -36  36 -4  4  16
X.65      660   660   .   .  -4  -4  .  .  .  .  .  .  .  . -36 -36 -4 -4  16
X.66      660   660   .   .  -4  -4  .  .  .  .  .  .  .  . -36 -36 -4 -4  16
X.67      693  -693   .   .   3  -3 -1  1  1 -1 -1  1 -1  1  21 -21 -3  3  49
X.68      693  -693   .   .   3  -3 -1  1  1 -1  1 -1  1 -1  21 -21 -3  3  49
X.69      693   693   .   .  -3  -3  1  1  1  1 -1 -1 -1 -1  21  21 -3 -3  49
X.70      693   693   .   .  -3  -3  1  1  1  1  1  1  1  1  21  21 -3 -3  49
X.71      825  -825   .   .  -9   9 -1  1  1 -1 -1  1 -1  1 -15  15  9 -9 -15
X.72      825  -825   .   .  -9   9 -1  1  1 -1  1 -1  1 -1 -15  15  9 -9 -15
X.73      825   825   .   .   9   9  1  1  1  1 -1 -1 -1 -1 -15 -15  9  9 -15
X.74      825   825   .   .   9   9  1  1  1  1  1  1  1  1 -15 -15  9  9 -15
X.75      924  -924   .   .  -4   4  .  .  .  .  .  .  .  .  84 -84  4 -4 -56
X.76      924  -924   .   .  -4   4  .  .  .  .  .  .  .  .  84 -84  4 -4 -56
X.77      924   924   .   .   4   4  .  .  .  .  .  .  .  .  84  84  4  4 -56
X.78      924   924   .   .   4   4  .  .  .  .  .  .  .  .  84  84  4  4 -56
X.79      990   990   .   .   6   6 -2 -2  .  .  2  2  .  . -42 -42  6  6  34
X.80      990   990   .   .   6   6 -2 -2  .  .  .  .  2  2  21  21 -3 -3  34
X.81      990   990   .   .   6   6 -2 -2  .  .  .  . -2 -2  21  21 -3 -3  34
X.82      990   990   .   .   6   6 -2 -2  .  . -2 -2  .  . -42 -42  6  6  34
X.83      990  -990   .   .  -6   6  2 -2  .  .  2 -2  .  . -42  42  6 -6  34
X.84      990  -990   .   .  -6   6  2 -2  .  .  .  .  2 -2  21 -21 -3  3  34
X.85      990  -990   .   .  -6   6  2 -2  .  .  .  . -2  2  21 -21 -3  3  34
X.86      990  -990   .   .  -6   6  2 -2  .  . -2  2  .  . -42  42  6 -6  34
X.87     1100  1100   .   .  12  12  4  4  .  .  .  .  .  .  50  50 -6 -6 -20
X.88     1100  1100   .   .  12  12  4  4  .  .  .  .  .  .  50  50 -6 -6 -20
X.89     1100 -1100   .   . -12  12 -4  4  .  .  .  .  .  .  50 -50 -6  6 -20
X.90     1100 -1100   .   . -12  12 -4  4  .  .  .  .  .  .  50 -50 -6  6 -20
X.91     1155 -1155   .   .   5  -5  1 -1 -1  1 -1  1 -1  1 -21  21 -5  5   7
X.92     1155 -1155   .   .   5  -5  1 -1 -1  1  1 -1  1 -1 -21  21 -5  5   7
X.93     1155  1155   .   .  -5  -5 -1 -1 -1 -1 -1 -1 -1 -1 -21 -21 -5 -5   7
X.94     1155  1155   .   .  -5  -5 -1 -1 -1 -1  1  1  1  1 -21 -21 -5 -5   7
X.95     1188 -1188   .   .  12 -12 -4  4  .  .  .  .  .  . -90  90  6 -6  12
X.96     1188  1188   .   . -12 -12  4  4  .  .  .  .  .  . -90 -90  6  6  12
X.97     1232  1232   .   . -16 -16  .  .  .  .  .  .  .  .  56  56  8  8   .
X.98     1232  1232   .   . -16 -16  .  .  .  .  .  .  .  .  56  56  8  8   .
X.99     1232 -1232   .   .  16 -16  .  .  .  .  .  .  .  .  56 -56  8 -8   .
X.100    1232 -1232   .   .  16 -16  .  .  .  .  .  .  .  .  56 -56  8 -8   .
X.101    1320  1320   .   .   8   8  .  .  .  .  .  .  .  . -84 -84 -4 -4   8
X.102    1320  1320   .   .   8   8  .  .  .  .  .  .  .  . -84 -84 -4 -4   8
X.103    1320 -1320   .   .  -8   8  .  .  .  .  .  .  .  . -84  84 -4  4   8
X.104    1320 -1320   .   .  -8   8  .  .  .  .  .  .  .  . -84  84 -4  4   8
X.105    1540 -1540   .   .   4  -4  .  .  .  .  .  .  .  .  28 -28 -4  4 -56
X.106    1540 -1540   .   .   4  -4  .  .  .  .  .  .  .  .  28 -28 -4  4 -56
X.107    1540  1540   .   .  -4  -4  .  .  .  .  .  .  .  .  28  28 -4 -4 -56
X.108    1540  1540   .   .  -4  -4  .  .  .  .  .  .  .  .  28  28 -4 -4 -56
X.109    2310  2310   .   .  -2  -2 -2 -2  .  .  .  . -2 -2 -63 -63  1  1 -14
X.110    2310  2310   .   .  -2  -2 -2 -2  .  .  .  .  2  2 -63 -63  1  1 -14
X.111    2310 -2310   .   .   2  -2  2 -2  .  .  .  . -2  2 -63  63  1 -1 -14
X.112    2310 -2310   .   .   2  -2  2 -2  .  .  .  .  2 -2 -63  63  1 -1 -14

       2   8  7  7  7  7   5   5   8   8   5   5    9    9  4  4   7   7  5  5
       3   2  1  1  2  2   1   1   2   2   3   3    4    4  3  3   2   2  2  2
       5   1  1  1  .  .   .   .   1   1   1   1    1    1  .  .   1   1  .  .
       7   1  .  .  .  .   .   .   .   .   .   .    1    1  .  .   1   1  .  .
      11   .  .  .  .  .   .   .   .   .   .   .    .    .  .  .   .   .  .  .

          2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
      2P  1a 2d 2d 3a 3a  6d  6d  1a  1a  3b  3b   1a   1a 3b 3b  2d  2d 3b 3b
      3P  2e 4e 4f 2d 2e  4f  4e  2f  2g  1a  2a   2h   2i 2i 2h  4g  4h 2e 2d
      5P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
      7P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     11P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     13P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     17P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     19P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     23P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     29P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     31P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     37P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j
     41P  2e 4e 4f 6d 6e 12a 12b  2f  2g  3b  6f   2h   2i 6g 6h  4g  4h 6i 6j

X.1        1  1  1  1  1   1   1   1   1   1   1    1    1  1  1   1   1  1  1
X.2       -1 -1  1  1 -1   1  -1  -1   1   1  -1   -1    1  1 -1  -1   1 -1  1
X.3       -1 -1  1  1 -1   1  -1   1  -1   1  -1    1   -1 -1  1   1  -1 -1  1
X.4        1  1  1  1  1   1   1  -1  -1   1   1   -1   -1 -1 -1  -1  -1  1  1
X.5        6  4  4  3  3   1   1   4   4   4   4    8    8  2  2   6   6  .  .
X.6        6  4  4  3  3   1   1  -4  -4   4   4   -8   -8 -2 -2  -6  -6  .  .
X.7       -6 -4  4  3 -3   1  -1   4  -4   4  -4    8   -8 -2  2   6  -6  .  .
X.8       -6 -4  4  3 -3   1  -1  -4   4   4  -4   -8    8  2 -2  -6   6  .  .
X.9       16  6  6  4  4   .   .   8   8   5   5   28   28  1  1  14  14  1  1
X.10      16  6  6  4  4   .   .  -8  -8   5   5  -28  -28 -1 -1 -14 -14  1  1
X.11     -16 -6  6  4 -4   .   .   8  -8   5  -5   28  -28 -1  1  14 -14 -1  1
X.12     -16 -6  6  4 -4   .   .  -8   8   5  -5  -28   28  1 -1 -14  14 -1  1
X.13      13  5  5  1  1  -1  -1   3   3   6   6   27   27  .  .  15  15 -2 -2
X.14      13  5  5  1  1  -1  -1  -3  -3   6   6  -27  -27  .  . -15 -15 -2 -2
X.15     -13 -5  5  1 -1  -1   1   3  -3   6  -6   27  -27  .  .  15 -15  2 -2
X.16     -13 -5  5  1 -1  -1   1  -3   3   6  -6  -27   27  .  . -15  15  2 -2
X.17      26  4  4  5  5   1   1  12  12   2   2   56   56  2  2  14  14  2  2
X.18      26  4  4  5  5   1   1 -12 -12   2   2  -56  -56 -2 -2 -14 -14  2  2
X.19     -26 -4  4  5 -5   1  -1  12 -12   2  -2   56  -56 -2  2  14 -14 -2  2
X.20     -26 -4  4  5 -5   1  -1 -12  12   2  -2  -56   56  2 -2 -14  14 -2  2
X.21       8  .  . -4 -4   .   .  -8  -8   6   6   48   48  .  .  20  20  2  2
X.22       8  .  . -4 -4   .   .   8   8   6   6  -48  -48  .  . -20 -20  2  2
X.23      -8  .  . -4  4   .   .  -8   8   6  -6   48  -48  .  .  20 -20 -2  2
X.24      -8  .  . -4  4   .   .   8  -8   6  -6  -48   48  .  . -20  20 -2  2
X.25      20  .  .  2  2   .   .   8   8   6   6   48   48  .  .  -8  -8  2  2
X.26      20  .  .  2  2   .   .  -8  -8   6   6  -48  -48  .  .   8   8  2  2
X.27     -20  .  .  2 -2   .   .   8  -8   6  -6   48  -48  .  .  -8   8 -2  2
X.28     -20  .  .  2 -2   .   .  -8   8   6  -6  -48   48  .  .   8  -8 -2  2
X.29      29  1  1  5  5   1   1  13  13   3   3   69   69  3  3   1   1 -1 -1
X.30      29  1  1  5  5   1   1 -13 -13   3   3  -69  -69 -3 -3  -1  -1 -1 -1
X.31     -29 -1  1  5 -5   1  -1  13 -13   3  -3   69  -69 -3  3   1  -1  1 -1
X.32     -29 -1  1  5 -5   1  -1 -13  13   3  -3  -69   69  3 -3  -1   1  1 -1
X.33     -14 -6 -6 -2 -2   .   . -14 -14   9   9   42   42  3  3  14  14  1  1
X.34     -14 -6 -6 -2 -2   .   .  14  14   9   9  -42  -42 -3 -3 -14 -14  1  1
X.35      14  6 -6 -2  2   .   . -14  14   9  -9   42  -42 -3  3  14 -14 -1  1
X.36      14  6 -6 -2  2   .   .  14 -14   9  -9  -42   42  3 -3 -14  14 -1  1
X.37      35  5  5 -1 -1  -1  -1   5   5   3   3  105  105 -3 -3  35  35 -1 -1
X.38      35  5  5 -1 -1  -1  -1  -5  -5   3   3 -105 -105  3  3 -35 -35 -1 -1
X.39     -35 -5  5 -1  1  -1   1   5  -5   3  -3  105 -105  3 -3  35 -35  1 -1
X.40     -35 -5  5 -1  1  -1   1  -5   5   3  -3 -105  105 -3  3 -35  35  1 -1
X.41      28  8 -8  2 -2  -2   2   .   .  12 -12    .    .  .  .   .   .  4 -4
X.42     -28 -8 -8  2  2  -2  -2   .   .  12  12    .    .  .  .   .   . -4 -4
X.43      22  .  . -2 -2   .   .   2   2   9   9   78   78 -3 -3 -20 -20  1  1
X.44      22  .  . -2 -2   .   .  -2  -2   9   9  -78  -78  3  3  20  20  1  1
X.45     -22  .  . -2  2   .   .   2  -2   9  -9   78  -78  3 -3 -20  20 -1  1
X.46     -22  .  . -2  2   .   .  -2   2   9  -9  -78   78 -3  3  20 -20 -1  1
X.47      21 -1 -1 -3 -3  -1  -1   3   3  -8  -8  119  119 -4 -4  21  21  .  .
X.48      21 -1 -1 -3 -3  -1  -1  -3  -3  -8  -8 -119 -119  4  4 -21 -21  .  .
X.49     -21  1 -1 -3  3  -1   1   3  -3  -8   8  119 -119  4 -4  21 -21  .  .
X.50     -21  1 -1 -3  3  -1   1  -3   3  -8   8 -119  119 -4  4 -21  21  .  .
X.51     -14  6 -6  2 -2   .   .   2  -2   3  -3   42  -42 -3  3 -14  14  1 -1
X.52     -14  6 -6  2 -2   .   .  -2   2   3  -3  -42   42  3 -3  14 -14  1 -1
X.53      14 -6 -6  2  2   .   .   2   2   3   3   42   42  3  3 -14 -14 -1 -1
X.54      14 -6 -6  2  2   .   .  -2  -2   3   3  -42  -42 -3 -3  14  14 -1 -1
X.55      50  .  .  2  2   .   .  10  10  -5  -5  190  190  1  1  20  20 -1 -1
X.56      50  .  .  2  2   .   . -10 -10  -5  -5 -190 -190 -1 -1 -20 -20 -1 -1
X.57     -50  .  .  2 -2   .   .  10 -10  -5   5  190 -190 -1  1  20 -20  1 -1
X.58     -50  .  .  2 -2   .   . -10  10  -5   5 -190  190  1 -1 -20  20  1 -1
X.59      -6  4 -4 -6  6   2  -2  18 -18   .   . -162  162  .  . -36  36  .  .
X.60      -6  4 -4 -6  6   2  -2 -18  18   .   .  162 -162  .  .  36 -36  .  .
X.61       6 -4 -4 -6 -6   2   2  18  18   .   . -162 -162  .  . -36 -36  .  .
X.62       6 -4 -4 -6 -6   2   2 -18 -18   .   .  162  162  .  .  36  36  .  .
X.63     -16  6 -6  4 -4   .   .  -8   8  -3   3  -84   84  3 -3  14 -14 -1  1
X.64     -16  6 -6  4 -4   .   .   8  -8  -3   3   84  -84 -3  3 -14  14 -1  1
X.65      16 -6 -6  4  4   .   .  -8  -8  -3  -3  -84  -84 -3 -3  14  14  1  1
X.66      16 -6 -6  4  4   .   .   8   8  -3  -3   84   84  3  3 -14 -14  1  1
X.67     -49  1 -1  1 -1  -1   1  -9   9   6  -6 -189  189  .  .  21 -21  2 -2
X.68     -49  1 -1  1 -1  -1   1   9  -9   6  -6  189 -189  .  . -21  21  2 -2
X.69      49 -1 -1  1  1  -1  -1  -9  -9   6   6 -189 -189  .  .  21  21 -2 -2
X.70      49 -1 -1  1  1  -1  -1   9   9   6   6  189  189  .  . -21 -21 -2 -2
X.71      15 -5  5 -3  3  -1   1  15 -15   .   .   15  -15  .  .  15 -15  .  .
X.72      15 -5  5 -3  3  -1   1 -15  15   .   .  -15   15  .  . -15  15  .  .
X.73     -15  5  5 -3 -3  -1  -1  15  15   .   .   15   15  .  .  15  15  .  .
X.74     -15  5  5 -3 -3  -1  -1 -15 -15   .   .  -15  -15  .  . -15 -15  .  .
X.75      56  6 -6  4 -4   .   . -16  16   9  -9   84  -84 -3  3  14 -14 -1  1
X.76      56  6 -6  4 -4   .   .  16 -16   9  -9  -84   84  3 -3 -14  14 -1  1
X.77     -56 -6 -6  4  4   .   . -16 -16   9   9   84   84  3  3  14  14  1  1
X.78     -56 -6 -6  4  4   .   .  16  16   9   9  -84  -84 -3 -3 -14 -14  1  1
X.79      34 -4 -4 -2 -2   2   2   6   6   6   6  162  162  .  . -36 -36 -2 -2
X.80      34 -4 -4  1  1  -1  -1  12  12 -12 -12  216  216  .  .  -6  -6  4  4
X.81      34 -4 -4  1  1  -1  -1 -12 -12 -12 -12 -216 -216  .  .   6   6  4  4
X.82      34 -4 -4 -2 -2   2   2  -6  -6   6   6 -162 -162  .  .  36  36 -2 -2
X.83     -34  4 -4 -2  2   2  -2   6  -6   6  -6  162 -162  .  . -36  36  2 -2
X.84     -34  4 -4  1 -1  -1   1  12 -12 -12  12  216 -216  .  .  -6   6 -4  4
X.85     -34  4 -4  1 -1  -1   1 -12  12 -12  12 -216  216  .  .   6  -6 -4  4
X.86     -34  4 -4 -2  2   2  -2  -6   6   6  -6 -162  162  .  .  36 -36  2 -2
X.87     -20  .  . -2 -2   .   .   .   . -10 -10  160  160 -2 -2  20  20 -2 -2
X.88     -20  .  . -2 -2   .   .   .   . -10 -10 -160 -160  2  2 -20 -20 -2 -2
X.89      20  .  . -2  2   .   .   .   . -10  10  160 -160  2 -2  20 -20  2 -2
X.90      20  .  . -2  2   .   .   .   . -10  10 -160  160 -2  2 -20  20  2 -2
X.91      -7 -5  5 -5  5  -1   1 -17  17   9  -9  147 -147  3 -3 -35  35 -1  1
X.92      -7 -5  5 -5  5  -1   1  17 -17   9  -9 -147  147 -3  3  35 -35 -1  1
X.93       7  5  5 -5 -5  -1  -1 -17 -17   9   9  147  147 -3 -3 -35 -35  1  1
X.94       7  5  5 -5 -5  -1  -1  17  17   9   9 -147 -147  3  3  35  35  1  1
X.95     -12  8 -8  6 -6  -2   2   .   .   .   .    .    .  .  .   .   .  .  .
X.96      12 -8 -8  6  6  -2  -2   .   .   .   .    .    .  .  .   .   .  .  .
X.97       .  .  .  .  .   .   . -16 -16  -4  -4  224  224  2  2   .   .  .  .
X.98       .  .  .  .  .   .   .  16  16  -4  -4 -224 -224 -2 -2   .   .  .  .
X.99       .  .  .  .  .   .   . -16  16  -4   4  224 -224 -2  2   .   .  .  .
X.100      .  .  .  .  .   .   .  16 -16  -4   4 -224  224  2 -2   .   .  .  .
X.101      8  .  . -4 -4   .   .  -8  -8   6   6   48   48  .  . -20 -20  2  2
X.102      8  .  . -4 -4   .   .   8   8   6   6  -48  -48  .  .  20  20  2  2
X.103     -8  .  . -4  4   .   .  -8   8   6  -6   48  -48  .  . -20  20 -2  2
X.104     -8  .  . -4  4   .   .   8  -8   6  -6  -48   48  .  .  20 -20 -2  2
X.105     56 -6  6  4 -4   .   . -16  16   1  -1   28  -28 -1  1 -14  14 -1  1
X.106     56 -6  6  4 -4   .   .  16 -16   1  -1  -28   28  1 -1  14 -14 -1  1
X.107    -56  6  6  4  4   .   . -16 -16   1   1   28   28  1  1 -14 -14  1  1
X.108    -56  6  6  4  4   .   .  16  16   1   1  -28  -28 -1 -1  14  14  1  1
X.109    -14  4  4  1  1   1   1   4   4  -6  -6  168  168  .  . -14 -14 -2 -2
X.110    -14  4  4  1  1   1   1  -4  -4  -6  -6 -168 -168  .  .  14  14 -2 -2
X.111     14 -4  4  1 -1   1  -1   4  -4  -6   6  168 -168  .  . -14  14  2 -2
X.112     14 -4  4  1 -1   1  -1  -4   4  -6   6 -168  168  .  .  14 -14  2 -2

       2   4   4   6   6  7  7   6   6   4  4   3   3   1   1   9   9  2   2
       3   2   2   2   2  1  1   1   1   1  1   .   .   1   1   1   1  .   .
       5   .   .   .   .  .  .   .   .   .  .   .   .   .   .   1   1  2   2
       7   .   .   .   .  .  .   .   .   1  1   1   1   1   1   .   .  .   .
      11   .   .   .   .  .  .   .   .   .  .   .   .   .   .   .   .  .   .

         12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
      2P  6j  6j  6d  6d 2d 2d  6d  6d  7a 7a  7a  7a 21a 21a  1a  1a 5a  5a
      3P  4g  4h  4h  4g 4i 4j  4i  4j 14a 7a 14b 14c 14a  7a  2j  2k 5a 10a
      5P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 1a  2a
      7P 12c 12d 12e 12f 4i 4j 12g 12h  2a 1a  2h  2i  6a  3a  2j  2k 5a 10a
     11P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     13P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     17P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     19P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     23P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     29P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     31P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     37P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a
     41P 12c 12d 12e 12f 4i 4j 12g 12h 14a 7a 14b 14c 42a 21a  2j  2k 5a 10a

X.1        1   1   1   1  1  1   1   1   1  1   1   1   1   1   1   1  1   1
X.2       -1   1   1  -1 -1  1  -1   1  -1  1  -1   1  -1   1  -1   1  1  -1
X.3        1  -1  -1   1  1 -1   1  -1  -1  1   1  -1  -1   1   1  -1  1  -1
X.4       -1  -1  -1  -1 -1 -1  -1  -1   1  1  -1  -1   1   1  -1  -1  1   1
X.5        .   .   3   3  2  2  -1  -1   3  3   1   1   .   .   .   .  .   .
X.6        .   .  -3  -3 -2 -2   1   1   3  3  -1  -1   .   .   .   .  .   .
X.7        .   .  -3   3  2 -2  -1   1  -3  3   1  -1   .   .   .   .  .   .
X.8        .   .   3  -3 -2  2   1  -1  -3  3  -1   1   .   .   .   .  .   .
X.9       -1  -1   2   2  2  2   2   2   2  2   .   .  -1  -1   4   4 -1  -1
X.10       1   1  -2  -2 -2 -2  -2  -2   2  2   .   .  -1  -1  -4  -4 -1  -1
X.11      -1   1  -2   2  2 -2   2  -2  -2  2   .   .   1  -1   4  -4 -1   1
X.12       1  -1   2  -2 -2  2  -2   2  -2  2   .   .   1  -1  -4   4 -1   1
X.13       .   .   3   3 -1 -1  -1  -1   3  3  -1  -1   .   .  -5  -5  .   .
X.14       .   .  -3  -3  1  1   1   1   3  3   1   1   .   .   5   5  .   .
X.15       .   .  -3   3 -1  1  -1   1  -3  3  -1   1   .   .  -5   5  .   .
X.16       .   .   3  -3  1 -1   1  -1  -3  3   1  -1   .   .   5  -5  .   .
X.17       2   2  -1  -1  2  2  -1  -1  -2 -2   .   .   1   1   .   .  .   .
X.18      -2  -2   1   1 -2 -2   1   1  -2 -2   .   .   1   1   .   .  .   .
X.19       2  -2   1  -1  2 -2  -1   1   2 -2   .   .  -1   1   .   .  .   .
X.20      -2   2  -1   1 -2  2   1  -1   2 -2   .   .  -1   1   .   .  .   .
X.21       2   2   2   2 -4 -4   2   2   1  1  -1  -1   1   1   .   .  .   .
X.22      -2  -2  -2  -2  4  4  -2  -2   1  1   1   1   1   1   .   .  .   .
X.23       2  -2  -2   2 -4  4   2  -2  -1  1  -1   1  -1   1   .   .  .   .
X.24      -2   2   2  -2  4 -4  -2   2  -1  1   1  -1  -1   1   .   .  .   .
X.25      -2  -2   4   4  .  .   .   .  -1 -1  -1  -1  -1  -1   .   .  2   2
X.26       2   2  -4  -4  .  .   .   .  -1 -1   1   1  -1  -1   .   .  2   2
X.27      -2   2  -4   4  .  .   .   .   1 -1  -1   1   1  -1   .   .  2  -2
X.28       2  -2   4  -4  .  .   .   .   1 -1   1  -1   1  -1   .   .  2  -2
X.29       1   1   1   1  1  1   1   1  -3 -3  -1  -1   .   .   5   5  .   .
X.30      -1  -1  -1  -1 -1 -1  -1  -1  -3 -3   1   1   .   .  -5  -5  .   .
X.31       1  -1  -1   1  1 -1   1  -1   3 -3  -1   1   .   .   5  -5  .   .
X.32      -1   1   1  -1 -1  1  -1   1   3 -3   1  -1   .   .  -5   5  .   .
X.33      -1  -1   2   2 -2 -2  -2  -2   .  .   .   .   .   .  10  10  .   .
X.34       1   1  -2  -2  2  2   2   2   .  .   .   .   .   . -10 -10  .   .
X.35      -1   1  -2   2 -2  2  -2   2   .  .   .   .   .   .  10 -10  .   .
X.36       1  -1   2  -2  2 -2   2  -2   .  .   .   .   .   . -10  10  .   .
X.37      -1  -1  -1  -1 -1 -1  -1  -1   .  .   .   .   .   .   1   1  1   1
X.38       1   1   1   1  1  1   1   1   .  .   .   .   .   .  -1  -1  1   1
X.39      -1   1   1  -1 -1  1  -1   1   .  .   .   .   .   .   1  -1  1  -1
X.40       1  -1  -1   1  1 -1   1  -1   .  .   .   .   .   .  -1   1  1  -1
X.41       .   .   .   .  .  .   .   .   .  .   .   .   .   .   .   .  2  -2
X.42       .   .   .   .  .  .   .   .   .  .   .   .   .   .   .   .  2   2
X.43       1   1   4   4  .  .   .   .   1  1   1   1   1   1 -10 -10  .   .
X.44      -1  -1  -4  -4  .  .   .   .   1  1  -1  -1   1   1  10  10  .   .
X.45       1  -1  -4   4  .  .   .   .  -1  1   1  -1  -1   1 -10  10  .   .
X.46      -1   1   4  -4  .  .   .   .  -1  1  -1   1  -1   1  10 -10  .   .
X.47       .   .  -3  -3  1  1   1   1   .  .   .   .   .   .  15  15  .   .
X.48       .   .   3   3 -1 -1  -1  -1   .  .   .   .   .   . -15 -15  .   .
X.49       .   .   3  -3  1 -1   1  -1   .  .   .   .   .   .  15 -15  .   .
X.50       .   .  -3   3 -1  1  -1   1   .  .   .   .   .   . -15  15  .   .
X.51       1  -1   2  -2  2 -2   2  -2   .  .   .   .   .   .  10 -10  2  -2
X.52      -1   1  -2   2 -2  2  -2   2   .  .   .   .   .   . -10  10  2  -2
X.53       1   1  -2  -2  2  2   2   2   .  .   .   .   .   .  10  10  2   2
X.54      -1  -1   2   2 -2 -2  -2  -2   .  .   .   .   .   . -10 -10  2   2
X.55      -1  -1  -4  -4  .  .   .   .  -3 -3   1   1   .   . -10 -10  .   .
X.56       1   1   4   4  .  .   .   .  -3 -3  -1  -1   .   .  10  10  .   .
X.57      -1   1   4  -4  .  .   .   .   3 -3   1  -1   .   . -10  10  .   .
X.58       1  -1  -4   4  .  .   .   .   3 -3  -1   1   .   .  10 -10  .   .
X.59       .   .   .   .  .  .   .   .   1 -1  -1   1   1  -1   6  -6 -1   1
X.60       .   .   .   .  .  .   .   .   1 -1   1  -1   1  -1  -6   6 -1   1
X.61       .   .   .   .  .  .   .   .  -1 -1  -1  -1  -1  -1   6   6 -1  -1
X.62       .   .   .   .  .  .   .   .  -1 -1   1   1  -1  -1  -6  -6 -1  -1
X.63      -1   1  -2   2  2 -2   2  -2  -2  2   .   .   1  -1  20 -20  .   .
X.64       1  -1   2  -2 -2  2  -2   2  -2  2   .   .   1  -1 -20  20  .   .
X.65      -1  -1   2   2  2  2   2   2   2  2   .   .  -1  -1  20  20  .   .
X.66       1   1  -2  -2 -2 -2  -2  -2   2  2   .   .  -1  -1 -20 -20  .   .
X.67       .   .   3  -3  1 -1   1  -1   .  .   .   .   .   .  -5   5 -2   2
X.68       .   .  -3   3 -1  1  -1   1   .  .   .   .   .   .   5  -5 -2   2
X.69       .   .  -3  -3  1  1   1   1   .  .   .   .   .   .  -5  -5 -2  -2
X.70       .   .   3   3 -1 -1  -1  -1   .  .   .   .   .   .   5   5 -2  -2
X.71       .   .  -3   3 -1  1  -1   1   1 -1   1  -1   1  -1  15 -15  .   .
X.72       .   .   3  -3  1 -1   1  -1   1 -1  -1   1   1  -1 -15  15  .   .
X.73       .   .   3   3 -1 -1  -1  -1  -1 -1   1   1  -1  -1  15  15  .   .
X.74       .   .  -3  -3  1  1   1   1  -1 -1  -1  -1  -1  -1 -15 -15  .   .
X.75      -1   1  -2   2  2 -2   2  -2   .  .   .   .   .   .  -4   4 -1   1
X.76       1  -1   2  -2 -2  2  -2   2   .  .   .   .   .   .   4  -4 -1   1
X.77      -1  -1   2   2  2  2   2   2   .  .   .   .   .   .  -4  -4 -1  -1
X.78       1   1  -2  -2 -2 -2  -2  -2   .  .   .   .   .   .   4   4 -1  -1
X.79       .   .   .   .  .  .   .   .   3  3   1   1   .   .  10  10  .   .
X.80       .   .  -3  -3 -2 -2   1   1   3  3  -1  -1   .   .   .   .  .   .
X.81       .   .   3   3  2  2  -1  -1   3  3   1   1   .   .   .   .  .   .
X.82       .   .   .   .  .  .   .   .   3  3  -1  -1   .   . -10 -10  .   .
X.83       .   .   .   .  .  .   .   .  -3  3   1  -1   .   .  10 -10  .   .
X.84       .   .   3  -3 -2  2   1  -1  -3  3  -1   1   .   .   .   .  .   .
X.85       .   .  -3   3  2 -2  -1   1  -3  3   1  -1   .   .   .   .  .   .
X.86       .   .   .   .  .  .   .   .  -3  3  -1   1   .   . -10  10  .   .
X.87       2   2   2   2  4  4  -2  -2   1  1  -1  -1   1   1   .   .  .   .
X.88      -2  -2  -2  -2 -4 -4   2   2   1  1   1   1   1   1   .   .  .   .
X.89       2  -2  -2   2  4 -4  -2   2  -1  1  -1   1  -1   1   .   .  .   .
X.90      -2   2   2  -2 -4  4   2  -2  -1  1   1  -1  -1   1   .   .  .   .
X.91       1  -1  -1   1  1 -1   1  -1   .  .   .   .   .   .  -5   5  .   .
X.92      -1   1   1  -1 -1  1  -1   1   .  .   .   .   .   .   5  -5  .   .
X.93       1   1   1   1  1  1   1   1   .  .   .   .   .   .  -5  -5  .   .
X.94      -1  -1  -1  -1 -1 -1  -1  -1   .  .   .   .   .   .   5   5  .   .
X.95       .   .   .   .  .  .   .   .   2 -2   .   .  -1   1   .   . -2   2
X.96       .   .   .   .  .  .   .   .  -2 -2   .   .   1   1   .   . -2  -2
X.97       .   .   .   .  .  .   .   .   .  .   .   .   .   .   .   .  2   2
X.98       .   .   .   .  .  .   .   .   .  .   .   .   .   .   .   .  2   2
X.99       .   .   .   .  .  .   .   .   .  .   .   .   .   .   .   .  2  -2
X.100      .   .   .   .  .  .   .   .   .  .   .   .   .   .   .   .  2  -2
X.101     -2  -2  -2  -2  4  4  -2  -2  -3 -3  -1  -1   .   .   .   .  .   .
X.102      2   2   2   2 -4 -4   2   2  -3 -3   1   1   .   .   .   .  .   .
X.103     -2   2   2  -2  4 -4  -2   2   3 -3  -1   1   .   .   .   .  .   .
X.104      2  -2  -2   2 -4  4   2  -2   3 -3   1  -1   .   .   .   .  .   .
X.105      1  -1   2  -2 -2  2  -2   2   .  .   .   .   .   .  20 -20  .   .
X.106     -1   1  -2   2  2 -2   2  -2   .  .   .   .   .   . -20  20  .   .
X.107      1   1  -2  -2 -2 -2  -2  -2   .  .   .   .   .   .  20  20  .   .
X.108     -1  -1   2   2  2  2   2   2   .  .   .   .   .   . -20 -20  .   .
X.109     -2  -2   1   1 -2 -2   1   1   .  .   .   .   .   .   .   .  .   .
X.110      2   2  -1  -1  2  2  -1  -1   .  .   .   .   .   .   .   .  .   .
X.111     -2   2  -1   1 -2  2   1  -1   .  .   .   .   .   .   .   .  .   .
X.112      2  -2   1  -1  2 -2  -1   1   .  .   .   .   .   .   .   .  .   .

       2   2   2  5  5   6   6   4   4  7  7   4   4  4  4  5  5  3  3  3  3
       3   .   .  1  1   1   1   1   1  1  1   1   1  2  2  2  2  4  4  4  4
       5   1   1  .  .   .   .   .   .  .  .   .   .  .  .  1  1  .  .  .  .
       7   .   .  .  .   .   .   .   .  .  .   .   .  .  .  .  .  .  .  .  .
      11   .   .  .  .   .   .   .   .  .  .   .   .  .  .  .  .  .  .  .  .

         10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
      2P  5a  5a 3b 3b  6b  6b 12i 12i 2d 2d  6j  6j 3b 3b 3b 3b 3c 3c 3c 3c
      3P 10b 10c 2k 2j  4b  4a  8c  8d 4k 4l  4l  4k 2b 2c 2g 2f 1a 2a 2h 2i
      5P  2k  2j 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
      7P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     11P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     13P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     17P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     19P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     23P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     29P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     31P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     37P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s
     41P 10b 10c 6k 6l 12i 12j 24a 24b 4k 4l 12k 12l 6m 6n 6o 6p 3c 6q 6r 6s

X.1        1   1  1  1   1   1   1   1  1  1   1   1  1  1  1  1  1  1  1  1
X.2        1  -1  1 -1   1  -1  -1   1 -1  1   1  -1 -1  1  1 -1  1 -1 -1  1
X.3       -1   1 -1  1   1  -1   1  -1 -1  1   1  -1 -1  1 -1  1  1 -1  1 -1
X.4       -1  -1 -1 -1   1   1  -1  -1  1  1   1   1  1  1 -1 -1  1  1 -1 -1
X.5        .   .  .  .  -1  -1  -1  -1  .  .   .   .  2  2  4  4  1  1 -1 -1
X.6        .   .  .  .  -1  -1   1   1  .  .   .   .  2  2 -4 -4  1  1  1  1
X.7        .   .  .  .  -1   1  -1   1  .  .   .   . -2  2 -4  4  1 -1 -1  1
X.8        .   .  .  .  -1   1   1  -1  .  .   .   . -2  2  4 -4  1 -1  1 -1
X.9       -1  -1  1  1   .   .   .   .  2  2  -1  -1  1  1  5  5 -1 -1  1  1
X.10       1   1 -1 -1   .   .   .   .  2  2  -1  -1  1  1 -5 -5 -1 -1 -1 -1
X.11       1  -1 -1  1   .   .   .   . -2  2  -1   1 -1  1 -5  5 -1  1  1 -1
X.12      -1   1  1 -1   .   .   .   . -2  2  -1   1 -1  1  5 -5 -1  1 -1  1
X.13       .   . -2 -2   1   1   1   1 -3 -3   .   .  .  .  6  6  .  .  .  .
X.14       .   .  2  2   1   1  -1  -1 -3 -3   .   .  .  . -6 -6  .  .  .  .
X.15       .   .  2 -2   1  -1   1  -1  3 -3   .   .  .  . -6  6  .  .  .  .
X.16       .   . -2  2   1  -1  -1   1  3 -3   .   .  .  .  6 -6  .  .  .  .
X.17       .   .  .  .   1   1   1   1  .  .   .   .  .  .  .  .  2  2  2  2
X.18       .   .  .  .   1   1  -1  -1  .  .   .   .  .  .  .  .  2  2 -2 -2
X.19       .   .  .  .   1  -1   1  -1  .  .   .   .  .  .  .  .  2 -2  2 -2
X.20       .   .  .  .   1  -1  -1   1  .  .   .   .  .  .  .  .  2 -2 -2  2
X.21       .   .  .  .   .   .   .   .  .  .   .   . -2 -2  4  4  3  3  3  3
X.22       .   .  .  .   .   .   .   .  .  .   .   . -2 -2 -4 -4  3  3 -3 -3
X.23       .   .  .  .   .   .   .   .  .  .   .   .  2 -2 -4  4  3 -3  3 -3
X.24       .   .  .  .   .   .   .   .  .  .   .   .  2 -2  4 -4  3 -3 -3  3
X.25       .   .  .  .  -2  -2   .   .  .  .   .   . -2 -2 -4 -4 -3 -3  3  3
X.26       .   .  .  .  -2  -2   .   .  .  .   .   . -2 -2  4  4 -3 -3 -3 -3
X.27       .   .  .  .  -2   2   .   .  .  .   .   .  2 -2  4 -4 -3  3  3 -3
X.28       .   .  .  .  -2   2   .   .  .  .   .   .  2 -2 -4  4 -3  3 -3  3
X.29       .   . -1 -1   1   1  -1  -1  1  1   1   1 -1 -1 -5 -5  3  3 -3 -3
X.30       .   .  1  1   1   1   1   1  1  1   1   1 -1 -1  5  5  3  3  3  3
X.31       .   .  1 -1   1  -1  -1   1 -1  1   1  -1  1 -1  5 -5  3 -3 -3  3
X.32       .   . -1  1   1  -1   1  -1 -1  1   1  -1  1 -1 -5  5  3 -3  3 -3
X.33       .   .  1  1  -2  -2   .   .  2  2  -1  -1 -1 -1  1  1  3  3 -3 -3
X.34       .   . -1 -1  -2  -2   .   .  2  2  -1  -1 -1 -1 -1 -1  3  3  3  3
X.35       .   . -1  1  -2   2   .   . -2  2  -1   1  1 -1 -1  1  3 -3 -3  3
X.36       .   .  1 -1  -2   2   .   . -2  2  -1   1  1 -1  1 -1  3 -3  3 -3
X.37       1   1  1  1  -1  -1  -1  -1  1  1   1   1 -1 -1  5  5 -3 -3 -3 -3
X.38      -1  -1 -1 -1  -1  -1   1   1  1  1   1   1 -1 -1 -5 -5 -3 -3  3  3
X.39      -1   1 -1  1  -1   1  -1   1 -1  1   1  -1  1 -1 -5  5 -3  3 -3  3
X.40       1  -1  1 -1  -1   1   1  -1 -1  1   1  -1  1 -1  5 -5 -3  3  3 -3
X.41       .   .  .  .   2  -2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.42       .   .  .  .   2   2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.43       .   . -1 -1   2   2   .   . -4 -4  -1  -1 -1 -1 -1 -1 -3 -3 -3 -3
X.44       .   .  1  1   2   2   .   . -4 -4  -1  -1 -1 -1  1  1 -3 -3  3  3
X.45       .   .  1 -1   2  -2   .   .  4 -4  -1   1  1 -1  1 -1 -3  3 -3  3
X.46       .   . -1  1   2  -2   .   .  4 -4  -1   1  1 -1 -1  1 -3  3  3 -3
X.47       .   .  .  .   1   1   1   1  3  3   .   .  .  .  .  . -2 -2  2  2
X.48       .   .  .  .   1   1  -1  -1  3  3   .   .  .  .  .  . -2 -2 -2 -2
X.49       .   .  .  .   1  -1   1  -1 -3  3   .   .  .  .  .  . -2  2  2 -2
X.50       .   .  .  .   1  -1  -1   1 -3  3   .   .  .  .  .  . -2  2 -2  2
X.51       .   . -1  1   2  -2   .   . -2  2  -1   1 -1  1 -5  5  3 -3 -3  3
X.52       .   .  1 -1   2  -2   .   . -2  2  -1   1 -1  1  5 -5  3 -3  3 -3
X.53       .   .  1  1   2   2   .   .  2  2  -1  -1  1  1  5  5  3  3 -3 -3
X.54       .   . -1 -1   2   2   .   .  2  2  -1  -1  1  1 -5 -5  3  3  3  3
X.55       .   . -1 -1  -2  -2   .   . -4 -4  -1  -1  1  1 -5 -5  1  1  1  1
X.56       .   .  1  1  -2  -2   .   . -4 -4  -1  -1  1  1  5  5  1  1 -1 -1
X.57       .   .  1 -1  -2   2   .   .  4 -4  -1   1 -1  1  5 -5  1 -1  1 -1
X.58       .   . -1  1  -2   2   .   .  4 -4  -1   1 -1  1 -5  5  1 -1 -1  1
X.59      -1   1  .  .   2  -2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.60       1  -1  .  .   2  -2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.61       1   1  .  .   2   2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.62      -1  -1  .  .   2   2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.63       .   .  1 -1   .   .   .   .  2 -2   1  -1  1 -1  5 -5  3 -3 -3  3
X.64       .   . -1  1   .   .   .   .  2 -2   1  -1  1 -1 -5  5  3 -3  3 -3
X.65       .   . -1 -1   .   .   .   . -2 -2   1   1 -1 -1 -5 -5  3  3 -3 -3
X.66       .   .  1  1   .   .   .   . -2 -2   1   1 -1 -1  5  5  3  3  3  3
X.67       .   .  2 -2   1  -1  -1   1 -3  3   .   .  .  . -6  6  .  .  .  .
X.68       .   . -2  2   1  -1   1  -1 -3  3   .   .  .  .  6 -6  .  .  .  .
X.69       .   . -2 -2   1   1  -1  -1  3  3   .   .  .  .  6  6  .  .  .  .
X.70       .   .  2  2   1   1   1   1  3  3   .   .  .  . -6 -6  .  .  .  .
X.71       .   .  .  .   1  -1  -1   1  3 -3   .   .  .  .  .  .  6 -6  6 -6
X.72       .   .  .  .   1  -1   1  -1  3 -3   .   .  .  .  .  .  6 -6 -6  6
X.73       .   .  .  .   1   1  -1  -1 -3 -3   .   .  .  .  .  .  6  6  6  6
X.74       .   .  .  .   1   1   1   1 -3 -3   .   .  .  .  .  .  6  6 -6 -6
X.75      -1   1  1 -1   .   .   .   .  2 -2   1  -1 -1  1  1 -1 -3  3  3 -3
X.76       1  -1 -1  1   .   .   .   .  2 -2   1  -1 -1  1 -1  1 -3  3 -3  3
X.77       1   1 -1 -1   .   .   .   . -2 -2   1   1  1  1 -1 -1 -3 -3  3  3
X.78      -1  -1  1  1   .   .   .   . -2 -2   1   1  1  1  1  1 -3 -3 -3 -3
X.79       .   . -2 -2  -2  -2   .   .  .  .   .   .  .  .  6  6  .  .  .  .
X.80       .   .  .  .   1   1  -1  -1  .  .   .   .  .  .  .  .  .  .  .  .
X.81       .   .  .  .   1   1   1   1  .  .   .   .  .  .  .  .  .  .  .  .
X.82       .   .  2  2  -2  -2   .   .  .  .   .   .  .  . -6 -6  .  .  .  .
X.83       .   .  2 -2  -2   2   .   .  .  .   .   .  .  . -6  6  .  .  .  .
X.84       .   .  .  .   1  -1  -1   1  .  .   .   .  .  .  .  .  .  .  .  .
X.85       .   .  .  .   1  -1   1  -1  .  .   .   .  .  .  .  .  .  .  .  .
X.86       .   . -2  2  -2   2   .   .  .  .   .   .  .  .  6 -6  .  .  .  .
X.87       .   .  .  .  -2  -2   .   .  .  .   .   .  .  .  .  .  2  2 -2 -2
X.88       .   .  .  .  -2  -2   .   .  .  .   .   .  .  .  .  .  2  2  2  2
X.89       .   .  .  .  -2   2   .   .  .  .   .   .  .  .  .  .  2 -2 -2  2
X.90       .   .  .  .  -2   2   .   .  .  .   .   .  .  .  .  .  2 -2  2 -2
X.91       .   . -1  1  -1   1  -1   1 -1  1   1  -1 -1  1 -1  1  3 -3  3 -3
X.92       .   .  1 -1  -1   1   1  -1 -1  1   1  -1 -1  1  1 -1  3 -3 -3  3
X.93       .   .  1  1  -1  -1  -1  -1  1  1   1   1  1  1  1  1  3  3  3  3
X.94       .   . -1 -1  -1  -1   1   1  1  1   1   1  1  1 -1 -1  3  3 -3 -3
X.95       .   .  .  .  -2   2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.96       .   .  .  .  -2  -2   .   .  .  .   .   .  .  .  .  .  .  .  .  .
X.97       .   .  .  .   .   .   .   .  .  .   .   .  2  2 -4 -4 -1 -1 -1 -1
X.98       .   .  .  .   .   .   .   .  .  .   .   .  2  2  4  4 -1 -1  1  1
X.99       .   .  .  .   .   .   .   .  .  .   .   . -2  2  4 -4 -1  1 -1  1
X.100      .   .  .  .   .   .   .   .  .  .   .   . -2  2 -4  4 -1  1  1 -1
X.101      .   .  .  .   .   .   .   .  .  .   .   .  2  2  4  4 -3 -3  3  3
X.102      .   .  .  .   .   .   .   .  .  .   .   .  2  2 -4 -4 -3 -3 -3 -3
X.103      .   .  .  .   .   .   .   .  .  .   .   . -2  2 -4  4 -3  3  3 -3
X.104      .   .  .  .   .   .   .   .  .  .   .   . -2  2  4 -4 -3  3 -3  3
X.105      .   .  1 -1   .   .   .   . -2  2  -1   1  1 -1  1 -1  1 -1  1 -1
X.106      .   . -1  1   .   .   .   . -2  2  -1   1  1 -1 -1  1  1 -1 -1  1
X.107      .   . -1 -1   .   .   .   .  2  2  -1  -1 -1 -1 -1 -1  1  1  1  1
X.108      .   .  1  1   .   .   .   .  2  2  -1  -1 -1 -1  1  1  1  1 -1 -1
X.109      .   .  .  .   1   1   1   1  .  .   .   . -2 -2  4  4 -3 -3 -3 -3
X.110      .   .  .  .   1   1  -1  -1  .  .   .   . -2 -2 -4 -4 -3 -3  3  3
X.111      .   .  .  .   1  -1   1  -1  .  .   .   .  2 -2 -4  4 -3  3 -3  3
X.112      .   .  .  .   1  -1  -1   1  .  .   .   .  2 -2  4 -4 -3  3  3 -3

       2  6  6   5   5   5   5   4   4   5   5   5   5   6   6   2   2   2   2
       3  2  2   2   2   .   .   .   .   1   1   1   1   3   3   2   2   1   1
       5  .  .   2   2   1   1   1   1   1   1   1   1   1   1   1   1   1   1
       7  .  .   .   .   .   .   .   .   .   .   .   .   .   .   .   .   .   .
      11  .  .   .   .   .   .   .   .   .   .   .   .   .   .   .   .   .   .

         6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
      2P 3a 3a  5b  5b  5b  5b 10f 10f  5b  5b  5b  5b  3a  3a 15a 15a 15a 15a
      3P 2g 2f  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  2h  2i  5b 10d 10g 10h
      5P 6t 6u  1a  2a  2e  2d  4h  4g  2i  2h  2g  2f  6v  6w  3a  6a  6w  6v
      7P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     11P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     13P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     17P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     19P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     23P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     29P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     31P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     37P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c
     41P 6t 6u  5b 10d 10e 10f 20a 20b 10g 10h 10i 10j  6v  6w 15a 30a 30b 30c

X.1       1  1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1   1
X.2       1 -1   1  -1  -1   1   1  -1   1  -1   1  -1  -1   1   1  -1   1  -1
X.3      -1  1   1  -1  -1   1  -1   1  -1   1  -1   1   1  -1   1  -1  -1   1
X.4      -1 -1   1   1   1   1  -1  -1  -1  -1  -1  -1  -1  -1   1   1  -1  -1
X.5       1  1   5   5   1   1   1   1   3   3  -1  -1   5   5   2   2   .   .
X.6      -1 -1   5   5   1   1  -1  -1  -3  -3   1   1  -5  -5   2   2   .   .
X.7      -1  1   5  -5  -1   1  -1   1  -3   3   1  -1   5  -5   2  -2   .   .
X.8       1 -1   5  -5  -1   1   1  -1   3  -3  -1   1  -5   5   2  -2   .   .
X.9       2  2   9   9   1   1  -1  -1   3   3   3   3  10  10   .   .   .   .
X.10     -2 -2   9   9   1   1   1   1  -3  -3  -3  -3 -10 -10   .   .   .   .
X.11     -2  2   9  -9  -1   1   1  -1  -3   3  -3   3  10 -10   .   .   .   .
X.12      2 -2   9  -9  -1   1  -1   1   3  -3   3  -3 -10  10   .   .   .   .
X.13     -3 -3  10  10  -2  -2   .   .   2   2  -2  -2   9   9   1   1  -1  -1
X.14      3  3  10  10  -2  -2   .   .  -2  -2   2   2  -9  -9   1   1   1   1
X.15      3 -3  10 -10   2  -2   .   .  -2   2   2  -2   9  -9   1  -1   1  -1
X.16     -3  3  10 -10   2  -2   .   .   2  -2  -2   2  -9   9   1  -1  -1   1
X.17      3  3   5   5   1   1  -1  -1   1   1  -3  -3  11  11  -1  -1   1   1
X.18     -3 -3   5   5   1   1   1   1  -1  -1   3   3 -11 -11  -1  -1  -1  -1
X.19     -3  3   5  -5  -1   1   1  -1  -1   1   3  -3  11 -11  -1   1  -1   1
X.20      3 -3   5  -5  -1   1  -1   1   1  -1  -3   3 -11  11  -1   1   1  -1
X.21     -2 -2  10  10  -2  -2   .   .  -2  -2   2   2   6   6   1   1   1   1
X.22      2  2  10  10  -2  -2   .   .   2   2  -2  -2  -6  -6   1   1  -1  -1
X.23      2 -2  10 -10   2  -2   .   .   2  -2  -2   2   6  -6   1  -1  -1   1
X.24     -2  2  10 -10   2  -2   .   .  -2   2   2  -2  -6   6   1  -1   1  -1
X.25      2  2  -8  -8   .   .   2   2  -2  -2  -2  -2   6   6   1   1   1   1
X.26     -2 -2  -8  -8   .   .  -2  -2   2   2   2   2  -6  -6   1   1  -1  -1
X.27     -2  2  -8   8   .   .  -2   2   2  -2   2  -2   6  -6   1  -1  -1   1
X.28      2 -2  -8   8   .   .   2  -2  -2   2  -2   2  -6   6   1  -1   1  -1
X.29      1  1  -5  -5  -1  -1   1   1  -1  -1   3   3   9   9   1   1  -1  -1
X.30     -1 -1  -5  -5  -1  -1  -1  -1   1   1  -3  -3  -9  -9   1   1   1   1
X.31     -1  1  -5   5   1  -1  -1   1   1  -1  -3   3   9  -9   1  -1   1  -1
X.32      1 -1  -5   5   1  -1   1  -1  -1   1   3  -3  -9   9   1  -1  -1   1
X.33      4  4   5   5   1   1  -1  -1  -3  -3   1   1   .   .   2   2   .   .
X.34     -4 -4   5   5   1   1   1   1   3   3  -1  -1   .   .   2   2   .   .
X.35     -4  4   5  -5  -1   1   1  -1   3  -3  -1   1   .   .   2  -2   .   .
X.36      4 -4   5  -5  -1   1  -1   1  -3   3   1  -1   .   .   2  -2   .   .
X.37     -1 -1  16  16   .   .   .   .   .   .   .   .  15  15  -2  -2   .   .
X.38      1  1  16  16   .   .   .   .   .   .   .   . -15 -15  -2  -2   .   .
X.39      1 -1  16 -16   .   .   .   .   .   .   .   .  15 -15  -2   2   .   .
X.40     -1  1  16 -16   .   .   .   .   .   .   .   . -15  15  -2   2   .   .
X.41      .  .   2  -2  -2   2   .   .   .   .   .   .   .   .   2  -2   .   .
X.42      .  .   2   2   2   2   .   .   .   .   .   .   .   .   2   2   .   .
X.43      2  2 -10 -10   2   2   .   .  -2  -2   2   2   6   6  -1  -1   1   1
X.44     -2 -2 -10 -10   2   2   .   .   2   2  -2  -2  -6  -6  -1  -1  -1  -1
X.45     -2  2 -10  10  -2   2   .   .   2  -2  -2   2   6  -6  -1   1  -1   1
X.46      2 -2 -10  10  -2   2   .   .  -2   2   2  -2  -6   6  -1   1   1  -1
X.47      3  3   5   5   1   1   1   1  -1  -1   3   3  -1  -1  -1  -1  -1  -1
X.48     -3 -3   5   5   1   1  -1  -1   1   1  -3  -3   1   1  -1  -1   1   1
X.49     -3  3   5  -5  -1   1  -1   1   1  -1  -3   3  -1   1  -1   1   1  -1
X.50      3 -3   5  -5  -1   1   1  -1  -1   1   3  -3   1  -1  -1   1  -1   1
X.51      4 -4   7  -7   1  -1  -1   1   3  -3   3  -3   .   .  -2   2   .   .
X.52     -4  4   7  -7   1  -1   1  -1  -3   3  -3   3   .   .  -2   2   .   .
X.53     -4 -4   7   7  -1  -1   1   1  -3  -3  -3  -3   .   .  -2  -2   .   .
X.54      4  4   7   7  -1  -1  -1  -1   3   3   3   3   .   .  -2  -2   .   .
X.55     -2 -2   .   .   .   .   .   .   .   .   .   .  10  10   .   .   .   .
X.56      2  2   .   .   .   .   .   .   .   .   .   . -10 -10   .   .   .   .
X.57      2 -2   .   .   .   .   .   .   .   .   .   .  10 -10   .   .   .   .
X.58     -2  2   .   .   .   .   .   .   .   .   .   . -10  10   .   .   .   .
X.59      .  .   9  -9  -1   1   1  -1  -3   3  -3   3   .   .   .   .   .   .
X.60      .  .   9  -9  -1   1  -1   1   3  -3   3  -3   .   .   .   .   .   .
X.61      .  .   9   9   1   1  -1  -1   3   3   3   3   .   .   .   .   .   .
X.62      .  .   9   9   1   1   1   1  -3  -3  -3  -3   .   .   .   .   .   .
X.63      2 -2   5  -5  -1   1   1  -1  -1   1   3  -3   6  -6  -1   1  -1   1
X.64     -2  2   5  -5  -1   1  -1   1   1  -1  -3   3  -6   6  -1   1   1  -1
X.65     -2 -2   5   5   1   1  -1  -1   1   1  -3  -3   6   6  -1  -1   1   1
X.66      2  2   5   5   1   1   1   1  -1  -1   3   3  -6  -6  -1  -1  -1  -1
X.67     -3  3 -17  17   1  -1  -1   1  -1   1  -1   1  -9   9   1  -1  -1   1
X.68      3 -3 -17  17   1  -1   1  -1   1  -1   1  -1   9  -9   1  -1   1  -1
X.69      3  3 -17 -17  -1  -1   1   1   1   1   1   1  -9  -9   1   1   1   1
X.70     -3 -3 -17 -17  -1  -1  -1  -1  -1  -1  -1  -1   9   9   1   1  -1  -1
X.71      3 -3   .   .   .   .   .   .   .   .   .   . -15  15   .   .   .   .
X.72     -3  3   .   .   .   .   .   .   .   .   .   .  15 -15   .   .   .   .
X.73     -3 -3   .   .   .   .   .   .   .   .   .   . -15 -15   .   .   .   .
X.74      3  3   .   .   .   .   .   .   .   .   .   .  15  15   .   .   .   .
X.75     -2  2  -1   1   1  -1   1  -1   1  -1   1  -1  -6   6  -1   1   1  -1
X.76      2 -2  -1   1   1  -1  -1   1  -1   1  -1   1   6  -6  -1   1  -1   1
X.77      2  2  -1  -1  -1  -1  -1  -1  -1  -1  -1  -1  -6  -6  -1  -1  -1  -1
X.78     -2 -2  -1  -1  -1  -1   1   1   1   1   1   1   6   6  -1  -1   1   1
X.79      .  .  -5  -5  -1  -1  -1  -1  -3  -3   1   1   .   .  -2  -2   .   .
X.80      3  3  -5  -5  -1  -1  -1  -1   1   1  -3  -3  -9  -9   1   1   1   1
X.81     -3 -3  -5  -5  -1  -1   1   1  -1  -1   3   3   9   9   1   1  -1  -1
X.82      .  .  -5  -5  -1  -1   1   1   3   3  -1  -1   .   .  -2  -2   .   .
X.83      .  .  -5   5   1  -1   1  -1   3  -3  -1   1   .   .  -2   2   .   .
X.84     -3  3  -5   5   1  -1   1  -1  -1   1   3  -3  -9   9   1  -1  -1   1
X.85      3 -3  -5   5   1  -1  -1   1   1  -1  -3   3   9  -9   1  -1   1  -1
X.86      .  .  -5   5   1  -1  -1   1  -3   3   1  -1   .   .  -2   2   .   .
X.87      .  .   .   .   .   .   .   .   .   .   .   . -20 -20   .   .   .   .
X.88      .  .   .   .   .   .   .   .   .   .   .   .  20  20   .   .   .   .
X.89      .  .   .   .   .   .   .   .   .   .   .   . -20  20   .   .   .   .
X.90      .  .   .   .   .   .   .   .   .   .   .   .  20 -20   .   .   .   .
X.91     -1  1 -10  10  -2   2   .   .  -2   2   2  -2   9  -9  -1   1   1  -1
X.92      1 -1 -10  10  -2   2   .   .   2  -2  -2   2  -9   9  -1   1  -1   1
X.93      1  1 -10 -10   2   2   .   .   2   2  -2  -2   9   9  -1  -1  -1  -1
X.94     -1 -1 -10 -10   2   2   .   .  -2  -2   2   2  -9  -9  -1  -1   1   1
X.95      .  .  18 -18  -2   2   .   .   .   .   .   .   .   .   .   .   .   .
X.96      .  .  18  18   2   2   .   .   .   .   .   .   .   .   .   .   .   .
X.97     -4 -4  -8  -8   .   .   .   .   4   4   4   4  -4  -4   1   1   1   1
X.98      4  4  -8  -8   .   .   .   .  -4  -4  -4  -4   4   4   1   1  -1  -1
X.99      4 -4  -8   8   .   .   .   .  -4   4  -4   4  -4   4   1  -1  -1   1
X.100    -4  4  -8   8   .   .   .   .   4  -4   4  -4   4  -4   1  -1   1  -1
X.101    -2 -2  10  10  -2  -2   .   .  -2  -2   2   2   6   6   1   1   1   1
X.102     2  2  10  10  -2  -2   .   .   2   2  -2  -2  -6  -6   1   1  -1  -1
X.103     2 -2  10 -10   2  -2   .   .   2  -2  -2   2   6  -6   1  -1  -1   1
X.104    -2  2  10 -10   2  -2   .   .  -2   2   2  -2  -6   6   1  -1   1  -1
X.105    -2  2  -5   5   1  -1  -1   1  -3   3   1  -1  10 -10  -2   2   .   .
X.106     2 -2  -5   5   1  -1   1  -1   3  -3  -1   1 -10  10  -2   2   .   .
X.107     2  2  -5  -5  -1  -1   1   1   3   3  -1  -1  10  10  -2  -2   .   .
X.108    -2 -2  -5  -5  -1  -1  -1  -1  -3  -3   1   1 -10 -10  -2  -2   .   .
X.109     1  1   5   5   1   1   1   1   3   3  -1  -1 -15 -15   2   2   .   .
X.110    -1 -1   5   5   1   1  -1  -1  -3  -3   1   1  15  15   2   2   .   .
X.111    -1  1   5  -5  -1   1  -1   1  -3   3   1  -1 -15  15   2  -2   .   .
X.112     1 -1   5  -5  -1   1   1  -1   3  -3  -1   1  15 -15   2  -2   .   .

       2  3  3   2  2   2   2   2   2   2   2   4   4   3   3  3   3   4   4
       3  2  2   2  2   2   2   2   2   1   1   .   .   .   .  2   2   .   .
       5  .  .   .  .   .   .   1   1   1   1   .   .   .   .  .   .   1   1
       7  .  .   .  .   .   .   .   .   .   .   1   1   1   1  .   .   .   .
      11  .  .   .  .   .   .   .   .   .   .   .   .   .   .  .   .   .   .

         6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
      2P 3c 3c  9a 9a  9a  9a 15b 15b 15b 15b  7a  7a 14e 14e 3c  3c 10f 10f
      3P 2g 2f  6q 3c  6s  6r  5b 10d 10i 10j 14d 14e 28a 28b 2b  2c 20c 20d
      5P 6x 6y 18a 9a 18b 18c  3b  6f  6o  6p 14d 14e 28a 28b 6z 6aa  4f  4e
      7P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f  2e  2d  4h  4g 6z 6aa 20c 20d
     11P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     13P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     17P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     19P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     23P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     29P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     31P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     37P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d
     41P 6x 6y 18a 9a 18b 18c 15b 30d 30e 30f 14d 14e 28a 28b 6z 6aa 20c 20d

X.1       1  1   1  1   1   1   1   1   1   1   1   1   1   1  1   1   1   1
X.2       1 -1  -1  1   1  -1   1  -1   1  -1  -1   1   1  -1 -1   1   1  -1
X.3      -1  1  -1  1  -1   1   1  -1  -1   1  -1   1  -1   1 -1   1   1  -1
X.4      -1 -1   1  1  -1  -1   1   1  -1  -1   1   1  -1  -1  1   1   1   1
X.5       1  1   1  1  -1  -1  -1  -1  -1  -1  -1  -1  -1  -1 -1  -1  -1  -1
X.6      -1 -1   1  1   1   1  -1  -1   1   1  -1  -1   1   1 -1  -1  -1  -1
X.7      -1  1  -1  1   1  -1  -1   1   1  -1   1  -1   1  -1  1  -1  -1   1
X.8       1 -1  -1  1  -1   1  -1   1  -1   1   1  -1  -1   1  1  -1  -1   1
X.9      -1 -1  -1 -1   1   1   .   .   .   .   2   2   .   .  1   1   1   1
X.10      1  1  -1 -1  -1  -1   .   .   .   .   2   2   .   .  1   1   1   1
X.11      1 -1   1 -1  -1   1   .   .   .   .  -2   2   .   . -1   1   1  -1
X.12     -1  1   1 -1   1  -1   .   .   .   .  -2   2   .   . -1   1   1  -1
X.13      .  .   .  .   .   .   1   1   1   1  -1  -1   1   1  .   .   .   .
X.14      .  .   .  .   .   .   1   1  -1  -1  -1  -1  -1  -1  .   .   .   .
X.15      .  .   .  .   .   .   1  -1  -1   1   1  -1  -1   1  .   .   .   .
X.16      .  .   .  .   .   .   1  -1   1  -1   1  -1   1  -1  .   .   .   .
X.17      .  .  -1 -1  -1  -1   2   2   .   .  -2  -2   .   .  .   .  -1  -1
X.18      .  .  -1 -1   1   1   2   2   .   .  -2  -2   .   .  .   .  -1  -1
X.19      .  .   1 -1   1  -1   2  -2   .   .   2  -2   .   .  .   .  -1   1
X.20      .  .   1 -1  -1   1   2  -2   .   .   2  -2   .   .  .   .  -1   1
X.21      1  1   .  .   .   .   1   1  -1  -1   1   1  -1  -1  1   1   .   .
X.22     -1 -1   .  .   .   .   1   1   1   1   1   1   1   1  1   1   .   .
X.23     -1  1   .  .   .   .   1  -1   1  -1  -1   1   1  -1 -1   1   .   .
X.24      1 -1   .  .   .   .   1  -1  -1   1  -1   1  -1   1 -1   1   .   .
X.25     -1 -1   .  .   .   .   1   1   1   1  -1  -1  -1  -1  1   1   .   .
X.26      1  1   .  .   .   .   1   1  -1  -1  -1  -1   1   1  1   1   .   .
X.27      1 -1   .  .   .   .   1  -1  -1   1   1  -1   1  -1 -1   1   .   .
X.28     -1  1   .  .   .   .   1  -1   1  -1   1  -1  -1   1 -1   1   .   .
X.29      1  1   .  .   .   .  -2  -2   .   .   1   1   1   1 -1  -1   1   1
X.30     -1 -1   .  .   .   .  -2  -2   .   .   1   1  -1  -1 -1  -1   1   1
X.31     -1  1   .  .   .   .  -2   2   .   .  -1   1  -1   1  1  -1   1  -1
X.32      1 -1   .  .   .   .  -2   2   .   .  -1   1   1  -1  1  -1   1  -1
X.33      1  1   .  .   .   .  -1  -1   1   1   .   .   .   . -1  -1  -1  -1
X.34     -1 -1   .  .   .   .  -1  -1  -1  -1   .   .   .   . -1  -1  -1  -1
X.35     -1  1   .  .   .   .  -1   1  -1   1   .   .   .   .  1  -1  -1   1
X.36      1 -1   .  .   .   .  -1   1   1  -1   .   .   .   .  1  -1  -1   1
X.37     -1 -1   .  .   .   .  -2  -2   .   .   .   .   .   . -1  -1   .   .
X.38      1  1   .  .   .   .  -2  -2   .   .   .   .   .   . -1  -1   .   .
X.39      1 -1   .  .   .   .  -2   2   .   .   .   .   .   .  1  -1   .   .
X.40     -1  1   .  .   .   .  -2   2   .   .   .   .   .   .  1  -1   .   .
X.41      .  .   .  .   .   .   2  -2   .   .   .   .   .   .  .   .   2  -2
X.42      .  .   .  .   .   .   2   2   .   .   .   .   .   .  .   .   2   2
X.43     -1 -1   .  .   .   .  -1  -1  -1  -1   1   1   1   1 -1  -1   .   .
X.44      1  1   .  .   .   .  -1  -1   1   1   1   1  -1  -1 -1  -1   .   .
X.45      1 -1   .  .   .   .  -1   1   1  -1  -1   1  -1   1  1  -1   .   .
X.46     -1  1   .  .   .   .  -1   1  -1   1  -1   1   1  -1  1  -1   .   .
X.47      .  .   1  1  -1  -1   2   2   .   .   .   .   .   .  .   .  -1  -1
X.48      .  .   1  1   1   1   2   2   .   .   .   .   .   .  .   .  -1  -1
X.49      .  .  -1  1   1  -1   2  -2   .   .   .   .   .   .  .   .  -1   1
X.50      .  .  -1  1  -1   1   2  -2   .   .   .   .   .   .  .   .  -1   1
X.51      1 -1   .  .   .   .  -2   2   .   .   .   .   .   . -1   1  -1   1
X.52     -1  1   .  .   .   .  -2   2   .   .   .   .   .   . -1   1  -1   1
X.53     -1 -1   .  .   .   .  -2  -2   .   .   .   .   .   .  1   1  -1  -1
X.54      1  1   .  .   .   .  -2  -2   .   .   .   .   .   .  1   1  -1  -1
X.55      1  1   1  1   1   1   .   .   .   .   1   1  -1  -1  1   1   .   .
X.56     -1 -1   1  1  -1  -1   .   .   .   .   1   1   1   1  1   1   .   .
X.57     -1  1  -1  1  -1   1   .   .   .   .  -1   1   1  -1 -1   1   .   .
X.58      1 -1  -1  1   1  -1   .   .   .   .  -1   1  -1   1 -1   1   .   .
X.59      .  .   .  .   .   .   .   .   .   .   1  -1   1  -1  .   .   1  -1
X.60      .  .   .  .   .   .   .   .   .   .   1  -1  -1   1  .   .   1  -1
X.61      .  .   .  .   .   .   .   .   .   .  -1  -1  -1  -1  .   .   1   1
X.62      .  .   .  .   .   .   .   .   .   .  -1  -1   1   1  .   .   1   1
X.63     -1  1   .  .   .   .   2  -2   .   .  -2   2   .   .  1  -1  -1   1
X.64      1 -1   .  .   .   .   2  -2   .   .  -2   2   .   .  1  -1  -1   1
X.65      1  1   .  .   .   .   2   2   .   .   2   2   .   . -1  -1  -1  -1
X.66     -1 -1   .  .   .   .   2   2   .   .   2   2   .   . -1  -1  -1  -1
X.67      .  .   .  .   .   .   1  -1  -1   1   .   .   .   .  .   .  -1   1
X.68      .  .   .  .   .   .   1  -1   1  -1   .   .   .   .  .   .  -1   1
X.69      .  .   .  .   .   .   1   1   1   1   .   .   .   .  .   .  -1  -1
X.70      .  .   .  .   .   .   1   1  -1  -1   .   .   .   .  .   .  -1  -1
X.71      .  .   .  .   .   .   .   .   .   .   1  -1  -1   1  .   .   .   .
X.72      .  .   .  .   .   .   .   .   .   .   1  -1   1  -1  .   .   .   .
X.73      .  .   .  .   .   .   .   .   .   .  -1  -1   1   1  .   .   .   .
X.74      .  .   .  .   .   .   .   .   .   .  -1  -1  -1  -1  .   .   .   .
X.75      1 -1   .  .   .   .  -1   1   1  -1   .   .   .   . -1   1  -1   1
X.76     -1  1   .  .   .   .  -1   1  -1   1   .   .   .   . -1   1  -1   1
X.77     -1 -1   .  .   .   .  -1  -1  -1  -1   .   .   .   .  1   1  -1  -1
X.78      1  1   .  .   .   .  -1  -1   1   1   .   .   .   .  1   1  -1  -1
X.79      .  .   .  .   .   .   1   1   1   1  -1  -1  -1  -1  .   .   1   1
X.80      .  .   .  .   .   .  -2  -2   .   .  -1  -1   1   1  .   .   1   1
X.81      .  .   .  .   .   .  -2  -2   .   .  -1  -1  -1  -1  .   .   1   1
X.82      .  .   .  .   .   .   1   1  -1  -1  -1  -1   1   1  .   .   1   1
X.83      .  .   .  .   .   .   1  -1  -1   1   1  -1   1  -1  .   .   1  -1
X.84      .  .   .  .   .   .  -2   2   .   .   1  -1  -1   1  .   .   1  -1
X.85      .  .   .  .   .   .  -2   2   .   .   1  -1   1  -1  .   .   1  -1
X.86      .  .   .  .   .   .   1  -1   1  -1   1  -1  -1   1  .   .   1  -1
X.87      .  .  -1 -1   1   1   .   .   .   .   1   1  -1  -1  .   .   .   .
X.88      .  .  -1 -1  -1  -1   .   .   .   .   1   1   1   1  .   .   .   .
X.89      .  .   1 -1  -1   1   .   .   .   .  -1   1   1  -1  .   .   .   .
X.90      .  .   1 -1   1  -1   .   .   .   .  -1   1  -1   1  .   .   .   .
X.91     -1  1   .  .   .   .  -1   1  -1   1   .   .   .   . -1   1   .   .
X.92      1 -1   .  .   .   .  -1   1   1  -1   .   .   .   . -1   1   .   .
X.93      1  1   .  .   .   .  -1  -1   1   1   .   .   .   .  1   1   .   .
X.94     -1 -1   .  .   .   .  -1  -1  -1  -1   .   .   .   .  1   1   .   .
X.95      .  .   .  .   .   .   .   .   .   .   2  -2   .   .  .   .   2  -2
X.96      .  .   .  .   .   .   .   .   .   .  -2  -2   .   .  .   .   2   2
X.97     -1 -1  -1 -1  -1  -1   1   1   1   1   .   .   .   . -1  -1   .   .
X.98      1  1  -1 -1   1   1   1   1  -1  -1   .   .   .   . -1  -1   .   .
X.99      1 -1   1 -1   1  -1   1  -1  -1   1   .   .   .   .  1  -1   .   .
X.100    -1  1   1 -1  -1   1   1  -1   1  -1   .   .   .   .  1  -1   .   .
X.101     1  1   .  .   .   .   1   1  -1  -1   1   1   1   1 -1  -1   .   .
X.102    -1 -1   .  .   .   .   1   1   1   1   1   1  -1  -1 -1  -1   .   .
X.103    -1  1   .  .   .   .   1  -1   1  -1  -1   1  -1   1  1  -1   .   .
X.104     1 -1   .  .   .   .   1  -1  -1   1  -1   1   1  -1  1  -1   .   .
X.105     1 -1  -1  1  -1   1   1  -1   1  -1   .   .   .   .  1  -1   1  -1
X.106    -1  1  -1  1   1  -1   1  -1  -1   1   .   .   .   .  1  -1   1  -1
X.107    -1 -1   1  1   1   1   1   1  -1  -1   .   .   .   . -1  -1   1   1
X.108     1  1   1  1  -1  -1   1   1   1   1   .   .   .   . -1  -1   1   1
X.109     1  1   .  .   .   .  -1  -1  -1  -1   .   .   .   .  1   1  -1  -1
X.110    -1 -1   .  .   .   .  -1  -1   1   1   .   .   .   .  1   1  -1  -1
X.111    -1  1   .  .   .   .  -1   1   1  -1   .   .   .   . -1   1  -1   1
X.112     1 -1   .  .   .   .  -1   1  -1   1   .   .   .   . -1   1  -1   1