/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^2 + x - 4 [optimized Q(sqrt17)].

Traces:    [ 64, 1 ]
Density:   [ 0.21173096, 0.94403076 ]
Numer max: [ 11, 32 ]
Numer av:  [ 0.14523315, 1.5078430 ]
Denom max: [ 1, 6 ], [ [], [ <2, 1>, <3, 1> ] ]
Denom LCM: [ 1, 6 ], [ [], [ <2, 1>, <3, 1> ] ]

Character:
( 128, -128, 0, 0, -64, 32, -16, 8, -4, 0, 0, 0, 0, 0, 0, -32, 8, -2, 64, -32, 
    16, 0, 0, -8, 4, 0, 0, 0, 0, 0, 0, 0, 16, 2, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 8, -4, 2, 32, -8, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
    0, 0, 0, 0, 0, 0, -2, -16, 0, -2, 0, 0, 16, -8, -2, 4, -4, 2, 1,
    -zeta(17)_17^14 - zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10
    - zeta(17)_17^7 - zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^3,
    zeta(17)_17^14 + zeta(17)_17^12 + zeta(17)_17^11 + zeta(17)_17^10 +
    zeta(17)_17^7 + zeta(17)_17^6 + zeta(17)_17^5 + zeta(17)_17^3 + 1,
    -8, 4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 4, -2, -1, 4, 0, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0,
    -16, 8, 2, -4, 4, 0, -2, 0, 0, 0, 0, 0, -1, -1, 2, zeta(17)_17^14 +
    zeta(17)_17^12 + zeta(17)_17^11 + zeta(17)_17^10 + zeta(17)_17^7 +
    zeta(17)_17^6 + zeta(17)_17^5 + zeta(17)_17^3, -zeta(17)_17^14 -
    zeta(17)_17^12 - zeta(17)_17^11 - zeta(17)_17^10 - zeta(17)_17^7 -
    zeta(17)_17^6 - zeta(17)_17^5 - zeta(17)_17^3 - 1, -4, 1, 0, 0, 0,
    1, 1, 0, 0, 0, 0, 0, 0, 0, 8, -4, 2, 1, 0, 0, 1, -2, 1, 0, 1, 1, 0,
    0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -2, 4, -1, 0, -1, -1, 0, 0,
    0, 0, -1, -1, 2, 2, -1, -1, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, 0, 0, -2 )
*/

G:=c9Group("2a17m");
M:=
GModule(G, [
    Matrix(SparseMatrix(K, 128, 128, [
    <1, 1, 1>, <1, 2, -2>, <1, 3, -3>, <1, 4, 3>, <1, 5, -3>, <1, 7, -4>, <1, 8,
    -1>, <1, 9, -2>, <1, 10, 2>, <1, 14, -2>, <1, 15, 2>, <1, 16, 3>, <1, 18, 
    -2>, <1, 20, 2>, <1, 23, 1>, <1, 25, 2>, <1, 26, 2>, <1, 27, -1>, <1, 29, 
    1>, <1, 30, 2>, <1, 32, 2>, <1, 33, -2>, <1, 37, 2>, <1, 38, 2>, <1, 42, 1>,
    <1, 51, -1>, <1, 55, 1>, <1, 57, -1>, <1, 58, 1>, <1, 59, 1>, <1, 60, -1>, 
    <1, 62, -1>, <1, 63, -1>,  <2, 1, -2>, <2, 2, 1>, <2, 3, 3>, <2, 4, -2>, <2,
    5, 1>, <2, 7, 5>, <2, 8, 1>, <2, 9, 1>, <2, 10, -2>, <2, 11, 1>, <2, 14, 2>,
    <2, 15, -2>, <2, 16, -2>, <2, 17, -1>, <2, 18, 1>, <2, 19, 2>, <2, 20, -3>, 
    <2, 21, 1>, <2, 23, -2>, <2, 24, 1>, <2, 25, -2>, <2, 26, -2>, <2, 27, 1>, 
    <2, 30, -1>, <2, 32, -1>, <2, 33, 2>, <2, 37, -1>, <2, 38, -1>, <2, 42, -1>,
    <2, 51, 3>, <2, 52, 1>, <2, 53, -1>, <2, 55, -1>, <2, 60, 1>, <2, 61, -1>, 
    <2, 62, 1>, <2, 63, 1>, <2, 64, 1>,  <3, 2, -1>, <3, 3, -1>, <3, 4, 1>, <3, 
    5, -1>, <3, 7, -3>, <3, 8, -1>, <3, 9, -1>, <3, 10, 1>, <3, 14, -1>, <3, 15,
    1>, <3, 16, 2>, <3, 18, -1>, <3, 19, -1>, <3, 20, 2>, <3, 21, -1>, <3, 23, 
    1>, <3, 25, 1>, <3, 26, 1>, <3, 27, -1>, <3, 30, 1>, <3, 31, 1>, <3, 32, 1>,
    <3, 33, -1>, <3, 37, 1>, <3, 38, 1>, <3, 42, 1>, <3, 51, -1>, <3, 62, -1>, 
    <3, 63, -1>, <3, 64, -1>,  <4, 1, -2>, <4, 3, 3>, <4, 4, -2>, <4, 7, 4>, <4,
    9, 1>, <4, 10, -2>, <4, 11, 1>, <4, 14, 1>, <4, 15, -2>, <4, 16, -2>, <4, 
    17, -2>, <4, 18, 1>, <4, 19, 2>, <4, 20, -2>, <4, 21, 1>, <4, 23, -1>, <4, 
    24, 2>, <4, 25, -2>, <4, 26, -2>, <4, 33, 2>, <4, 42, -1>, <4, 51, 2>, <4, 
    52, 1>, <4, 53, -1>, <4, 55, -1>, <4, 58, 1>, <4, 60, 1>, <4, 61, -1>, <4, 
    63, 1>,  <5, 1, -1>, <5, 2, -1>, <5, 3, 1>, <5, 5, -1>, <5, 7, 4>, <5, 8, 
    1>, <5, 10, -1>, <5, 11, 1>, <5, 14, 1>, <5, 15, -1>, <5, 16, -1>, <5, 17, 
    -1>, <5, 19, 3>, <5, 20, -3>, <5, 21, 2>, <5, 23, -2>, <5, 24, 1>, <5, 25, 
    -1>, <5, 26, -1>, <5, 27, 1>, <5, 29, 1>, <5, 31, -1>, <5, 33, 1>, <5, 41, 
    -1>, <5, 42, -1>, <5, 48, -1>, <5, 51, 2>, <5, 52, 1>, <5, 53, -1>, <5, 58, 
    1>, <5, 59, 1>, <5, 61, -1>, <5, 62, 1>, <5, 63, 1>, <5, 64, 1>,  <6, 3, 1>,
    <6, 4, -1>, <6, 5, -1>, <6, 6, 1>, <6, 7, 2>, <6, 8, -1>, <6, 10, -1>, <6, 
    14, 1>, <6, 15, -1>, <6, 16, -1>, <6, 17, -1>, <6, 18, 1>, <6, 19, 1>, <6, 
    20, -1>, <6, 21, 1>, <6, 24, 1>, <6, 25, -1>, <6, 26, -1>, <6, 33, 1>, <6, 
    51, 1>, <6, 58, 1>, <6, 60, 1>, <6, 61, -1>,  <7, 5, -1>, <7, 20, 1>, <7, 
    48, -1>,  <8, 2, 2>, <8, 3, 2>, <8, 4, -2>, <8, 5, 1>, <8, 7, 3>, <8, 8, 
    -1>, <8, 9, 1>, <8, 10, -2>, <8, 14, 1>, <8, 15, -1>, <8, 16, -2>, <8, 17, 
    -1>, <8, 18, 2>, <8, 20, -1>, <8, 24, 1>, <8, 25, -2>, <8, 26, -2>, <8, 29, 
    -1>, <8, 30, -1>, <8, 32, -1>, <8, 33, 2>, <8, 37, -1>, <8, 38, -1>, <8, 41,
    1>, <8, 48, 1>, <8, 51, 2>, <8, 55, -1>, <8, 59, -1>, <8, 60, 1>, <8, 61, 
    -1>, <8, 64, 1>,  <9, 51, -1>, <9, 64, -1>,  <10, 1, -1>, <10, 2, -1>, <10, 
    3, -1>, <10, 5, -1>, <10, 7, -1>, <10, 8, 1>, <10, 10, 1>, <10, 14, -1>, 
    <10, 15, 1>, <10, 16, 1>, <10, 17, -2>, <10, 18, -1>, <10, 20, 1>, <10, 24, 
    1>, <10, 26, 1>, <10, 29, 1>, <10, 30, 1>, <10, 34, -1>, <10, 35, 1>, <10, 
    38, 1>, <10, 48, 1>, <10, 50, -1>, <10, 55, -1>, <10, 56, 1>,  <11, 1, 1>, 
    <11, 6, 1>, <11, 8, -1>, <11, 9, -1>, <11, 10, 1>, <11, 17, 2>, <11, 24, 
    -1>, <11, 25, 1>, <11, 33, -1>, <11, 51, -1>, <11, 55, 2>, <11, 60, -1>,  
    <12, 1, -2>, <12, 3, 3>, <12, 4, -2>, <12, 7, 4>, <12, 9, 1>, <12, 10, -2>, 
    <12, 11, 1>, <12, 14, 1>, <12, 15, -2>, <12, 16, -2>, <12, 17, -1>, <12, 18,
    2>, <12, 19, 2>, <12, 20, -2>, <12, 21, 1>, <12, 23, -1>, <12, 24, 2>, <12, 
    25, -2>, <12, 26, -2>, <12, 33, 2>, <12, 42, -1>, <12, 44, 1>, <12, 51, 3>, 
    <12, 52, 1>, <12, 53, -1>, <12, 55, -1>, <12, 58, 1>, <12, 60, 1>, <12, 61, 
    -1>, <12, 63, 1>, <12, 64, 1>,  <13, 2, 1>, <13, 3, 2>, <13, 4, -2>, <13, 7,
    3>, <13, 9, 1>, <13, 10, -2>, <13, 11, 1>, <13, 14, 2>, <13, 15, -3>, <13, 
    16, -2>, <13, 18, 1>, <13, 19, 1>, <13, 20, -2>, <13, 21, 1>, <13, 23, -1>, 
    <13, 24, 2>, <13, 25, -2>, <13, 26, -2>, <13, 27, 1>, <13, 33, 2>, <13, 34, 
    1>, <13, 35, -1>, <13, 40, 1>, <13, 42, -1>, <13, 43, 1>, <13, 48, 1>, <13, 
    51, 3>, <13, 52, 1>, <13, 53, -1>, <13, 56, -1>, <13, 58, 1>, <13, 60, 1>, 
    <13, 61, -1>, <13, 63, 1>, <13, 64, 1>,  <14, 2, -1>, <14, 3, -1>, <14, 5, 
    1>, <14, 6, 1>, <14, 8, -1>, <14, 10, 1>, <14, 12, 1>, <14, 14, 1>, <14, 17,
    1>, <14, 18, 1>, <14, 19, -2>, <14, 22, -1>, <14, 23, 1>, <14, 26, -1>, <14,
    27, -1>, <14, 32, 1>, <14, 36, 1>, <14, 42, 1>, <14, 46, -1>, <14, 48, 1>, 
    <14, 52, -1>,  <15, 1, 1>, <15, 4, -1>, <15, 5, 2>, <15, 6, 1>, <15, 7, -1>,
    <15, 8, -1>, <15, 9, 1>, <15, 11, -1>, <15, 12, 2>, <15, 14, 1>, <15, 15, 
    1>, <15, 17, 2>, <15, 18, 2>, <15, 19, -5>, <15, 20, 2>, <15, 21, -2>, <15, 
    22, -1>, <15, 23, 3>, <15, 24, -1>, <15, 25, -1>, <15, 26, -1>, <15, 27, 
    -1>, <15, 29, -1>, <15, 30, -1>, <15, 31, 1>, <15, 32, 1>, <15, 35, 1>, <15,
    36, 1>, <15, 37, -1>, <15, 38, -1>, <15, 39, 1>, <15, 42, 2>, <15, 46, -1>, 
    <15, 48, 1>, <15, 49, -1>, <15, 51, -3>, <15, 52, -2>, <15, 53, 1>, <15, 57,
    1>, <15, 58, -1>, <15, 59, -1>, <15, 60, 1>, <15, 63, -1>, <15, 64, -1>,  
    <16, 1, 2>, <16, 2, 1>, <16, 3, -2>, <16, 4, 1>, <16, 5, -2>, <16, 7, -2>, 
    <16, 8, -1>, <16, 9, -1>, <16, 11, -1>, <16, 12, -1>, <16, 16, 1>, <16, 20, 
    1>, <16, 32, -1>, <16, 35, -1>, <16, 39, -1>, <16, 48, -1>, <16, 49, 1>,  
    <17, 5, 1>, <17, 7, 1>, <17, 17, 1>, <17, 20, -1>, <17, 23, -1>, <17, 48, 
    1>,  <18, 7, -1>, <18, 18, 1>, <18, 19, -1>, <18, 20, 1>, <18, 23, 1>,  <19,
    1, -1>, <19, 2, -1>, <19, 3, 1>, <19, 7, 6>, <19, 10, -1>, <19, 11, 1>, <19,
    14, 1>, <19, 15, -1>, <19, 16, -1>, <19, 18, 1>, <19, 19, 4>, <19, 20, -4>, 
    <19, 21, 2>, <19, 23, -2>, <19, 24, 1>, <19, 25, -1>, <19, 26, -2>, <19, 27,
    1>, <19, 28, -1>, <19, 31, -1>, <19, 33, 1>, <19, 42, -1>, <19, 51, 2>, <19,
    52, 1>, <19, 53, -1>, <19, 58, 1>, <19, 59, 1>, <19, 61, -1>, <19, 62, 1>, 
    <19, 63, 1>, <19, 64, 1>,  <20, 1, -1>, <20, 2, -1>, <20, 3, 1>, <20, 5, 
    -1>, <20, 7, 5>, <20, 10, -1>, <20, 11, 1>, <20, 14, 1>, <20, 15, -1>, <20, 
    16, -1>, <20, 17, -1>, <20, 19, 4>, <20, 20, -3>, <20, 21, 2>, <20, 23, -2>,
    <20, 24, 1>, <20, 25, -1>, <20, 26, -2>, <20, 27, 1>, <20, 28, -1>, <20, 31,
    -1>, <20, 33, 1>, <20, 42, -1>, <20, 48, -1>, <20, 51, 2>, <20, 52, 1>, <20,
    53, -1>, <20, 58, 1>, <20, 59, 1>, <20, 61, -1>, <20, 62, 1>, <20, 63, 1>, 
    <20, 64, 1>,  <21, 7, -1>, <21, 16, 1>, <21, 18, -1>, <21, 31, 1>,  <22, 1, 
    2>, <22, 2, 1>, <22, 3, -1>, <22, 7, -2>, <22, 8, -2>, <22, 11, -1>, <22, 
    14, -1>, <22, 15, 1>, <22, 18, 1>, <22, 19, -2>, <22, 20, 2>, <22, 21, -1>, 
    <22, 23, 1>, <22, 27, -1>, <22, 41, 1>, <22, 42, 1>, <22, 48, 1>, <22, 51, 
    -1>, <22, 52, -1>, <22, 53, 1>, <22, 59, -1>, <22, 62, -1>, <22, 63, -1>,  
    <23, 7, 1>, <23, 17, 1>,  <24, 1, -2>, <24, 2, -1>, <24, 3, 1>, <24, 5, 1>, 
    <24, 7, 1>, <24, 9, -1>, <24, 10, 1>, <24, 11, 1>, <24, 19, 1>, <24, 20, 
    -1>, <24, 23, -1>, <24, 25, 1>, <24, 33, -1>, <24, 51, 1>, <24, 52, 1>, <24,
    53, -1>, <24, 54, 1>,  <25, 1, 1>, <25, 2, 1>, <25, 3, -1>, <25, 4, 2>, <25,
    7, -2>, <25, 8, -3>, <25, 9, -2>, <25, 10, 1>, <25, 14, -1>, <25, 15, 1>, 
    <25, 16, 1>, <25, 17, 2>, <25, 19, -1>, <25, 20, 1>, <25, 21, -1>, <25, 23, 
    1>, <25, 24, -2>, <25, 25, 2>, <25, 27, -1>, <25, 29, -1>, <25, 32, 1>, <25,
    33, -2>, <25, 34, 1>, <25, 35, -1>, <25, 37, 1>, <25, 41, 1>, <25, 42, 1>, 
    <25, 50, 1>, <25, 51, -1>, <25, 55, 1>, <25, 56, -1>, <25, 57, -1>, <25, 60,
    -1>, <25, 62, -1>, <25, 63, -1>,  <26, 1, -2>, <26, 3, 1>, <26, 5, -1>, <26,
    7, 2>, <26, 8, 2>, <26, 11, 1>, <26, 14, 1>, <26, 15, -1>, <26, 17, -1>, 
    <26, 18, -2>, <26, 19, 3>, <26, 20, -2>, <26, 21, 1>, <26, 22, 1>, <26, 23, 
    -3>, <26, 25, 1>, <26, 26, 2>, <26, 27, 2>, <26, 29, 1>, <26, 32, -1>, <26, 
    36, -1>, <26, 41, -1>, <26, 42, -1>, <26, 46, 1>, <26, 48, -1>, <26, 51, 2>,
    <26, 52, 1>, <26, 53, -1>, <26, 59, 1>, <26, 62, 1>, <26, 63, 1>,  <27, 1, 
    2>, <27, 2, -1>, <27, 3, -3>, <27, 4, 2>, <27, 5, -3>, <27, 7, -3>, <27, 9, 
    -1>, <27, 11, -1>, <27, 14, -1>, <27, 15, 1>, <27, 16, 1>, <27, 18, -1>, 
    <27, 20, 1>, <27, 21, 1>, <27, 22, 1>, <27, 23, 1>, <27, 24, 1>, <27, 26, 
    2>, <27, 27, 1>, <27, 29, 1>, <27, 30, 1>, <27, 31, -1>, <27, 32, 1>, <27, 
    33, -1>, <27, 37, 1>, <27, 38, 1>, <27, 41, -1>, <27, 47, -1>, <27, 50, -1>,
    <27, 51, -2>, <27, 55, 1>, <27, 58, 1>, <27, 59, 1>, <27, 60, -1>,  <28, 1, 
    2>, <28, 2, -1>, <28, 3, -2>, <28, 4, 2>, <28, 5, -3>, <28, 7, -2>, <28, 8, 
    -1>, <28, 9, -1>, <28, 11, -1>, <28, 14, -1>, <28, 15, 1>, <28, 16, 1>, <28,
    19, 1>, <28, 20, 1>, <28, 21, 1>, <28, 22, 1>, <28, 23, 1>, <28, 24, 1>, 
    <28, 26, 1>, <28, 29, 1>, <28, 30, 1>, <28, 31, -1>, <28, 32, 1>, <28, 33, 
    -1>, <28, 37, 1>, <28, 38, 1>, <28, 41, -1>, <28, 47, -1>, <28, 48, -1>, 
    <28, 51, -2>, <28, 55, 1>, <28, 58, 1>, <28, 59, 1>, <28, 60, -1>,  <29, 2, 
    -1>, <29, 7, 1>, <29, 8, 1>, <29, 17, 1>, <29, 22, -1>, <29, 23, -1>, <29, 
    29, 1>,  <30, 1, 2>, <30, 2, 1>, <30, 3, -1>, <30, 9, 1>, <30, 10, -1>, <30,
    11, -1>, <30, 16, -1>, <30, 18, 1>, <30, 19, -1>, <30, 21, 1>, <30, 23, 1>, 
    <30, 25, -1>, <30, 31, -1>, <30, 33, 1>, <30, 38, -1>, <30, 51, -1>, <30, 
    52, -1>, <30, 53, 1>, <30, 54, -1>,  <31, 1, -2>, <31, 2, -1>, <31, 3, 2>, 
    <31, 4, -1>, <31, 5, 1>, <31, 8, 1>, <31, 9, 1>, <31, 11, 1>, <31, 12, 1>, 
    <31, 19, -1>, <31, 20, 1>, <31, 21, -1>, <31, 23, 1>, <31, 31, 1>, <31, 32, 
    1>, <31, 35, 1>, <31, 39, 1>, <31, 49, -1>,  <32, 2, -1>, <32, 3, -1>, <32, 
    4, 1>, <32, 7, 1>, <32, 8, 1>, <32, 19, 1>, <32, 20, -1>, <32, 21, 1>, <32, 
    31, -1>, <32, 32, 1>, <32, 59, 1>,  <33, 1, 1>, <33, 2, 1>, <33, 3, -1>, 
    <33, 5, -1>, <33, 6, 1>, <33, 7, -1>, <33, 8, -1>, <33, 11, -1>, <33, 19, 
    -1>, <33, 20, 1>, <33, 23, 1>, <33, 33, 1>, <33, 51, -1>, <33, 52, -1>, <33,
    53, 1>, <33, 54, -1>,  <34, 1, 2>, <34, 2, 1>, <34, 3, -4>, <34, 5, -1>, 
    <34, 7, -5>, <34, 8, -1>, <34, 10, 1>, <34, 11, -2>, <34, 12, -1>, <34, 14, 
    -1>, <34, 15, 1>, <34, 16, 2>, <34, 17, 1>, <34, 18, -2>, <34, 19, -2>, <34,
    20, 3>, <34, 21, -1>, <34, 24, -1>, <34, 25, 1>, <34, 26, 1>, <34, 29, -1>, 
    <34, 31, 1>, <34, 32, -2>, <34, 33, -1>, <34, 35, -1>, <34, 41, 1>, <34, 42,
    1>, <34, 44, -1>, <34, 45, -1>, <34, 49, 1>, <34, 50, -1>, <34, 51, -2>, 
    <34, 52, -1>, <34, 53, 1>, <34, 57, 1>, <34, 58, -1>, <34, 59, -1>, <34, 61,
    1>, <34, 63, -1>, <34, 64, -1>,  <35, 1, 3>, <35, 2, -1>, <35, 3, -6>, <35, 
    4, 3>, <35, 6, -1>, <35, 7, -8>, <35, 9, -2>, <35, 10, 2>, <35, 11, -1>, 
    <35, 13, -1>, <35, 14, -2>, <35, 15, 2>, <35, 16, 3>, <35, 17, 1>, <35, 18, 
    -2>, <35, 19, -2>, <35, 20, 1>, <35, 24, -1>, <35, 25, 2>, <35, 26, 2>, <35,
    29, 1>, <35, 30, 1>, <35, 33, -2>, <35, 34, 1>, <35, 35, -1>, <35, 37, 1>, 
    <35, 38, 1>, <35, 39, -1>, <35, 40, 1>, <35, 44, -1>, <35, 45, -1>, <35, 46,
    -1>, <35, 48, 1>, <35, 49, 1>, <35, 50, -1>, <35, 51, -2>, <35, 53, 1>, <35,
    55, 1>, <35, 60, -1>, <35, 61, 1>, <35, 63, -1>,  <36, 1, -1>, <36, 2, -1>, 
    <36, 3, -1>, <36, 4, 1>, <36, 6, -1>, <36, 7, -2>, <36, 9, -1>, <36, 11, 1>,
    <36, 16, 1>, <36, 18, -1>, <36, 21, -1>, <36, 23, -1>, <36, 24, -1>, <36, 
    25, 1>, <36, 26, 1>, <36, 31, 1>, <36, 33, -1>, <36, 34, 1>, <36, 35, -1>, 
    <36, 37, 1>, <36, 41, 1>, <36, 45, -1>, <36, 51, 1>, <36, 52, 1>, <36, 53, 
    -1>, <36, 56, -1>,  <37, 2, -1>, <37, 5, -1>, <37, 7, 2>, <37, 8, -2>, <37, 
    10, -1>, <37, 17, -1>, <37, 18, 1>, <37, 19, 2>, <37, 20, -1>, <37, 21, 1>, 
    <37, 22, 1>, <37, 24, 2>, <37, 25, -1>, <37, 26, -1>, <37, 28, -1>, <37, 32,
    1>, <37, 33, 1>, <37, 37, 1>, <37, 38, 1>, <37, 47, -1>, <37, 51, 1>, <37, 
    52, 1>, <37, 58, 1>, <37, 61, -1>, <37, 64, 1>,  <38, 5, -1>, <38, 7, -2>, 
    <38, 8, 1>, <38, 16, 1>, <38, 18, -1>, <38, 19, -1>, <38, 20, 1>, <38, 24, 
    1>, <38, 26, 1>, <38, 28, 1>, <38, 29, 1>, <38, 30, 1>, <38, 31, 1>, <38, 
    38, 1>, <38, 41, -1>,  <39, 1, -2>, <39, 3, 1>, <39, 4, -1>, <39, 5, -3>, 
    <39, 6, 1>, <39, 7, 2>, <39, 8, 1>, <39, 9, 1>, <39, 15, -1>, <39, 17, -1>, 
    <39, 18, -2>, <39, 19, 2>, <39, 21, 1>, <39, 23, -1>, <39, 24, 1>, <39, 26, 
    1>, <39, 27, 1>, <39, 29, 1>, <39, 30, 1>, <39, 31, -1>, <39, 34, -1>, <39, 
    37, 1>, <39, 38, 1>, <39, 39, 1>, <39, 46, 1>, <39, 51, 2>, <39, 53, -1>, 
    <39, 57, -1>, <39, 58, 1>, <39, 59, 1>, <39, 63, 1>, <39, 64, 1>,  <40, 1, 
    2>, <40, 2, 1>, <40, 5, 1>, <40, 7, -1>, <40, 8, -1>, <40, 11, 1>, <40, 12, 
    2>, <40, 13, -1>, <40, 14, 1>, <40, 15, -1>, <40, 17, 1>, <40, 19, -1>, <40,
    21, -1>, <40, 23, 1>, <40, 26, -1>, <40, 27, 1>, <40, 28, -1>, <40, 32, 1>, 
    <40, 34, 2>, <40, 35, -1>, <40, 40, 2>, <40, 43, 1>, <40, 44, -1>, <40, 49, 
    -1>, <40, 50, 1>, <40, 55, 1>, <40, 56, -1>,  <41, 1, 1>, <41, 2, 1>, <41, 
    5, -1>, <41, 7, -1>, <41, 10, -1>, <41, 11, -1>, <41, 17, -1>, <41, 18, -1>,
    <41, 19, 1>, <41, 22, 1>, <41, 23, -1>, <41, 24, 1>, <41, 26, 2>, <41, 27, 
    1>, <41, 29, 1>, <41, 32, -1>, <41, 36, -1>, <41, 46, 1>, <41, 47, -1>,  
    <42, 1, 1>, <42, 3, -1>, <42, 4, 1>, <42, 7, -1>, <42, 8, -1>, <42, 9, -1>, 
    <42, 10, 1>, <42, 14, -1>, <42, 15, 1>, <42, 16, 1>, <42, 17, 1>, <42, 18, 
    -1>, <42, 24, -1>, <42, 25, 1>, <42, 33, -1>, <42, 42, 1>, <42, 44, -1>, 
    <42, 51, -1>, <42, 55, 1>, <42, 60, -1>, <42, 63, -1>,  <43, 1, -3>, <43, 2,
    1>, <43, 3, 4>, <43, 4, -2>, <43, 5, 1>, <43, 7, 1>, <43, 8, 1>, <43, 9, 1>,
    <43, 10, -2>, <43, 12, -1>, <43, 14, 1>, <43, 15, -1>, <43, 16, -2>, <43, 
    18, 2>, <43, 19, -1>, <43, 20, 1>, <43, 21, -1>, <43, 22, 1>, <43, 24, -1>, 
    <43, 25, -1>, <43, 28, 1>, <43, 29, -1>, <43, 30, -2>, <43, 31, 1>, <43, 32,
    -1>, <43, 33, 1>, <43, 34, -1>, <43, 35, 1>, <43, 37, -1>, <43, 38, -1>, 
    <43, 39, 1>, <43, 40, -1>, <43, 41, -1>, <43, 44, 1>, <43, 48, -1>, <43, 55,
    -1>, <43, 57, 1>, <43, 58, -1>, <43, 59, -1>, <43, 60, 1>, <43, 64, -1>,  
    <44, 4, 1>, <44, 5, -1>, <44, 9, -1>, <44, 12, -1>, <44, 19, 1>, <44, 44, 
    1>, <44, 48, -1>,  <45, 1, 2>, <45, 2, 3>, <45, 3, 2>, <45, 4, -1>, <45, 7, 
    5>, <45, 9, 2>, <45, 10, -2>, <45, 11, -1>, <45, 14, 1>, <45, 15, -1>, <45, 
    16, -2>, <45, 17, -1>, <45, 19, 4>, <45, 20, -3>, <45, 21, 1>, <45, 22, 1>, 
    <45, 23, -2>, <45, 24, 1>, <45, 25, -1>, <45, 27, 2>, <45, 28, -1>, <45, 30,
    -1>, <45, 31, -1>, <45, 32, -2>, <45, 33, 1>, <45, 36, -1>, <45, 37, -1>, 
    <45, 38, -1>, <45, 42, -1>, <45, 45, 1>, <45, 46, 2>, <45, 47, -1>, <45, 48,
    -1>, <45, 50, 1>, <45, 51, 1>, <45, 62, 1>, <45, 63, 1>, <45, 64, 1>,  <46, 
    2, -2>, <46, 3, -2>, <46, 5, 3>, <46, 7, -4>, <46, 10, 2>, <46, 14, -1>, 
    <46, 15, 1>, <46, 16, 1>, <46, 17, 2>, <46, 18, 1>, <46, 19, -5>, <46, 20, 
    3>, <46, 21, -2>, <46, 22, -2>, <46, 23, 3>, <46, 24, -2>, <46, 25, 1>, <46,
    26, -1>, <46, 27, -3>, <46, 28, 1>, <46, 29, -1>, <46, 31, 1>, <46, 32, 1>, 
    <46, 33, -1>, <46, 36, 1>, <46, 41, 1>, <46, 42, 1>, <46, 45, -1>, <46, 46, 
    -1>, <46, 47, 1>, <46, 48, 1>, <46, 51, -2>, <46, 52, -1>, <46, 53, 1>, <46,
    57, 1>, <46, 58, -1>, <46, 59, -1>, <46, 61, 1>, <46, 62, -1>, <46, 63, -1>,
    <46, 64, -1>,  <47, 1, -3>, <47, 2, -3>, <47, 4, 1>, <47, 7, 2>, <47, 8, 1>,
    <47, 9, -1>, <47, 10, 2>, <47, 11, 2>, <47, 16, 1>, <47, 18, -1>, <47, 19, 
    2>, <47, 20, -2>, <47, 21, 1>, <47, 22, -1>, <47, 23, -2>, <47, 25, 2>, <47,
    29, 1>, <47, 30, 1>, <47, 32, 1>, <47, 33, -1>, <47, 37, 1>, <47, 38, 1>, 
    <47, 47, 1>, <47, 51, 2>, <47, 52, 1>, <47, 53, -1>, <47, 54, 1>, <47, 58, 
    1>, <47, 59, 1>,  <48, 5, 1>, <48, 7, 2>, <48, 8, -1>, <48, 19, 1>, <48, 20,
    -1>, <48, 26, -1>, <48, 28, -1>, <48, 29, -1>, <48, 41, 1>, <48, 48, 1>,  
    <49, 1, 1>, <49, 3, -2>, <49, 4, -1>, <49, 5, -1>, <49, 6, 1>, <49, 11, -1>,
    <49, 13, -1>, <49, 15, -1>, <49, 16, -1>, <49, 17, 2>, <49, 21, 1>, <49, 23,
    -1>, <49, 27, 1>, <49, 31, -1>, <49, 32, -1>, <49, 35, -1>, <49, 40, 1>, 
    <49, 45, -1>, <49, 49, 1>, <49, 50, -1>, <49, 55, 1>, <49, 57, 1>,  <50, 1, 
    1>, <50, 2, 3>, <50, 3, 1>, <50, 4, -1>, <50, 7, 3>, <50, 9, 1>, <50, 10, 
    -2>, <50, 11, -1>, <50, 14, 1>, <50, 15, -1>, <50, 16, -2>, <50, 17, -2>, 
    <50, 18, -1>, <50, 19, 3>, <50, 20, -3>, <50, 21, 1>, <50, 22, 2>, <50, 23, 
    -2>, <50, 24, 1>, <50, 25, -1>, <50, 26, 1>, <50, 27, 3>, <50, 28, -1>, <50,
    30, -1>, <50, 31, -1>, <50, 32, -2>, <50, 33, 1>, <50, 36, -1>, <50, 37, 
    -1>, <50, 38, -1>, <50, 42, -1>, <50, 46, 1>, <50, 47, -1>, <50, 48, 1>, 
    <50, 51, 1>, <50, 62, 1>, <50, 63, 1>, <50, 64, 1>,  <51, 6, -1>, <51, 8, 
    1>, <51, 9, 1>, <51, 10, -1>, <51, 17, -1>, <51, 24, 1>, <51, 25, -1>, <51, 
    33, 1>, <51, 51, 1>, <51, 55, -1>, <51, 60, 1>,  <52, 1, -2>, <52, 2, -2>, 
    <52, 4, 1>, <52, 5, -1>, <52, 8, 1>, <52, 9, -1>, <52, 10, 1>, <52, 11, 1>, 
    <52, 16, 1>, <52, 17, -1>, <52, 18, -2>, <52, 19, 2>, <52, 20, -1>, <52, 21,
    1>, <52, 23, -1>, <52, 25, 1>, <52, 26, 1>, <52, 29, 1>, <52, 30, 1>, <52, 
    32, 1>, <52, 33, -1>, <52, 37, 1>, <52, 38, 1>, <52, 51, 1>, <52, 52, 1>, 
    <52, 53, -1>, <52, 57, -1>, <52, 58, 1>, <52, 59, 1>,  <53, 1, -1>, <53, 2, 
    -1>, <53, 3, 1>, <53, 5, 1>, <53, 6, -1>, <53, 7, 1>, <53, 8, 1>, <53, 11, 
    1>, <53, 19, 1>, <53, 20, -1>, <53, 23, -1>, <53, 51, 1>, <53, 52, 1>,  <54,
    33, 1>, <54, 53, 1>,  <55, 2, 2>, <55, 3, 3>, <55, 4, -3>, <55, 5, 2>, <55, 
    7, 3>, <55, 8, 1>, <55, 9, 2>, <55, 10, -2>, <55, 11, -1>, <55, 14, 2>, <55,
    15, -2>, <55, 16, -3>, <55, 18, 2>, <55, 20, -1>, <55, 25, -2>, <55, 26, 
    -2>, <55, 27, 1>, <55, 29, -1>, <55, 30, -2>, <55, 32, -2>, <55, 33, 2>, 
    <55, 37, -2>, <55, 38, -2>, <55, 42, -1>, <55, 48, -1>, <55, 57, 1>, <55, 
    58, -1>, <55, 59, -1>, <55, 60, 1>, <55, 62, 1>, <55, 63, 1>,  <56, 1, -2>, 
    <56, 2, 2>, <56, 3, 3>, <56, 4, -3>, <56, 5, -1>, <56, 6, 1>, <56, 7, 3>, 
    <56, 8, -1>, <56, 9, 2>, <56, 10, -2>, <56, 11, -1>, <56, 12, -1>, <56, 13, 
    1>, <56, 14, 1>, <56, 15, -2>, <56, 16, -2>, <56, 17, -1>, <56, 18, -1>, 
    <56, 19, 2>, <56, 22, 2>, <56, 23, -1>, <56, 24, 1>, <56, 25, -1>, <56, 27, 
    1>, <56, 29, -1>, <56, 30, -1>, <56, 32, -1>, <56, 33, 1>, <56, 34, -1>, 
    <56, 39, 1>, <56, 40, -1>, <56, 46, 1>, <56, 47, -1>, <56, 51, 1>, <56, 53, 
    -1>, <56, 63, 1>,  <57, 2, 2>, <57, 3, 2>, <57, 4, -2>, <57, 7, 6>, <57, 9, 
    2>, <57, 10, -3>, <57, 14, 2>, <57, 15, -2>, <57, 16, -2>, <57, 17, -2>, 
    <57, 19, 4>, <57, 20, -4>, <57, 21, 1>, <57, 22, 1>, <57, 23, -3>, <57, 24, 
    2>, <57, 25, -2>, <57, 26, -1>, <57, 27, 2>, <57, 28, -1>, <57, 30, -1>, 
    <57, 32, -2>, <57, 33, 2>, <57, 36, -1>, <57, 37, -1>, <57, 38, -1>, <57, 
    42, -1>, <57, 46, 1>, <57, 47, -1>, <57, 51, 3>, <57, 52, 1>, <57, 53, -1>, 
    <57, 55, -1>, <57, 57, 1>, <57, 60, 1>, <57, 61, -1>, <57, 62, 1>, <57, 63, 
    1>, <57, 64, 1>,  <58, 1, -1>, <58, 2, 2>, <58, 3, 3>, <58, 4, -2>, <58, 7, 
    5>, <58, 9, 1>, <58, 10, -2>, <58, 11, 1>, <58, 14, 2>, <58, 15, -2>, <58, 
    16, -3>, <58, 17, -2>, <58, 18, 1>, <58, 19, 2>, <58, 20, -3>, <58, 21, 1>, 
    <58, 23, -2>, <58, 24, 1>, <58, 25, -2>, <58, 26, -2>, <58, 27, 1>, <58, 30,
    -1>, <58, 31, -1>, <58, 32, -1>, <58, 33, 2>, <58, 37, -1>, <58, 38, -1>, 
    <58, 42, -1>, <58, 51, 3>, <58, 53, -1>, <58, 55, -1>, <58, 58, 1>, <58, 60,
    1>, <58, 61, -1>, <58, 62, 1>, <58, 63, 1>, <58, 64, 1>,  <59, 1, -2>, <59, 
    2, -3>, <59, 3, -1>, <59, 4, 2>, <59, 7, -5>, <59, 8, 2>, <59, 9, -1>, <59, 
    10, 3>, <59, 11, 1>, <59, 12, 1>, <59, 14, -1>, <59, 15, 2>, <59, 16, 3>, 
    <59, 17, 1>, <59, 18, -3>, <59, 19, -2>, <59, 20, 3>, <59, 21, -2>, <59, 23,
    1>, <59, 24, -2>, <59, 25, 3>, <59, 26, 3>, <59, 29, 1>, <59, 30, 1>, <59, 
    31, 1>, <59, 32, 1>, <59, 33, -3>, <59, 35, 1>, <59, 37, 1>, <59, 38, 1>, 
    <59, 39, 1>, <59, 41, -1>, <59, 42, 1>, <59, 48, -1>, <59, 49, -1>, <59, 51,
    -2>, <59, 55, 1>, <59, 58, -1>, <59, 59, 1>, <59, 60, -1>, <59, 61, 1>, <59,
    63, -1>, <59, 64, -1>,  <60, 1, 1>, <60, 11, -1>, <60, 17, 1>, <60, 24, -1>,
    <60, 33, -1>, <60, 51, -2>, <60, 55, 1>,  <61, 1, 1>, <61, 2, -2>, <61, 3, 
    -2>, <61, 4, 1>, <61, 6, 1>, <61, 7, -7>, <61, 10, 3>, <61, 11, -1>, <61, 
    14, -1>, <61, 15, 1>, <61, 16, 2>, <61, 17, 2>, <61, 19, -4>, <61, 20, 5>, 
    <61, 21, -1>, <61, 22, -1>, <61, 23, 4>, <61, 24, -1>, <61, 25, 2>, <61, 26,
    1>, <61, 27, -2>, <61, 30, 1>, <61, 31, 1>, <61, 32, 2>, <61, 33, -2>, <61, 
    36, 1>, <61, 37, 1>, <61, 38, 1>, <61, 42, 1>, <61, 46, -1>, <61, 48, -1>, 
    <61, 51, -3>, <61, 52, -2>, <61, 53, 1>, <61, 55, 1>, <61, 61, 2>, <61, 62, 
    -1>, <61, 63, -1>, <61, 64, -1>,  <62, 1, -1>, <62, 2, -1>, <62, 3, 1>, <62,
    4, 2>, <62, 6, -1>, <62, 7, 4>, <62, 8, 1>, <62, 9, -1>, <62, 11, 1>, <62, 
    12, -1>, <62, 17, -1>, <62, 18, -1>, <62, 19, 5>, <62, 20, -3>, <62, 21, 2>,
    <62, 22, 1>, <62, 23, -2>, <62, 25, 1>, <62, 27, 1>, <62, 28, -1>, <62, 31, 
    -1>, <62, 36, -1>, <62, 42, -1>, <62, 46, 1>, <62, 48, -2>, <62, 50, 1>, 
    <62, 51, 1>, <62, 52, 1>, <62, 59, 1>, <62, 62, 1>,  <63, 1, 2>, <63, 2, 1>,
    <63, 3, -1>, <63, 7, -1>, <63, 8, -1>, <63, 11, -1>, <63, 12, 1>, <63, 14, 
    -1>, <63, 15, 1>, <63, 16, 1>, <63, 17, 1>, <63, 18, -1>, <63, 19, -1>, <63,
    21, -1>, <63, 24, -1>, <63, 33, -1>, <63, 42, 1>, <63, 44, -1>, <63, 48, 1>,
    <63, 51, -2>, <63, 55, 1>, <63, 60, -1>,  <64, 6, 1>, <64, 8, -1>, <64, 10, 
    1>, <64, 17, 1>, <64, 24, -1>, <64, 25, 1>, <64, 33, -1>, <64, 55, 1>, <64, 
    60, -1>, <64, 64, 1>,  <65, 65, 1>, <65, 68, 2>, <65, 71, 1>, <65, 73, -1>, 
    <65, 74, 1>, <65, 78, -1>, <65, 79, 1>, <65, 80, 1>, <65, 81, 1>, <65, 83, 
    1>, <65, 85, 1>, <65, 87, 1>, <65, 89, 1>, <65, 90, -1>, <65, 91, -1>, <65, 
    94, 1>, <65, 95, -1>, <65, 96, 2>, <65, 97, -1>, <65, 101, 1>, <65, 102, 1>,
    <65, 106, 1>, <65, 109, 1>, <65, 114, 1>, <65, 115, -1>, <65, 121, -1>, <65,
    122, 1>, <65, 123, 1>, <65, 124, -1>, <65, 126, -1>, <65, 127, -1>,  <66, 
    66, 2>, <66, 67, 1>, <66, 68, -1>, <66, 71, 3>, <66, 73, 1>, <66, 74, -2>, 
    <66, 78, 1>, <66, 79, -1>, <66, 80, -2>, <66, 81, -1>, <66, 82, 1>, <66, 83,
    1>, <66, 84, -2>, <66, 85, 1>, <66, 87, -1>, <66, 88, 1>, <66, 89, -2>, <66,
    90, -1>, <66, 91, 1>, <66, 94, -1>, <66, 95, -1>, <66, 96, -1>, <66, 97, 2>,
    <66, 101, -1>, <66, 102, -1>, <66, 106, -1>, <66, 115, 2>, <66, 124, 1>, 
    <66, 125, -1>, <66, 126, 1>, <66, 127, 1>, <66, 128, 1>,  <67, 65, -1>, <67,
    66, -1>, <67, 67, 3>, <67, 68, 1>, <67, 69, 2>, <67, 71, 2>, <67, 72, -2>, 
    <67, 73, -1>, <67, 74, 1>, <67, 75, 1>, <67, 77, 1>, <67, 79, 1>, <67, 82, 
    2>, <67, 85, -1>, <67, 87, 2>, <67, 88, -1>, <67, 89, 1>, <67, 90, -1>, <67,
    91, -2>, <67, 93, -1>, <67, 95, 1>, <67, 96, 2>, <67, 97, -1>, <67, 99, 1>, 
    <67, 104, -1>, <67, 106, 1>, <67, 108, 1>, <67, 109, 1>, <67, 113, -1>, <67,
    114, 1>, <67, 115, -1>, <67, 119, -1>, <67, 126, -1>, <67, 127, -1>, <67, 
    128, -1>,  <68, 65, -3>, <68, 66, -1>, <68, 67, 5>, <68, 69, 2>, <68, 71, 
    6>, <68, 72, -1>, <68, 74, -1>, <68, 75, 2>, <68, 77, 1>, <68, 78, 2>, <68, 
    79, -1>, <68, 80, -2>, <68, 81, -2>, <68, 82, 3>, <68, 83, 2>, <68, 84, -2>,
    <68, 88, 1>, <68, 89, -1>, <68, 90, -2>, <68, 91, -1>, <68, 95, 1>, <68, 96,
    1>, <68, 97, 1>, <68, 99, 1>, <68, 104, -1>, <68, 106, -1>, <68, 108, 2>, 
    <68, 109, 1>, <68, 113, -1>, <68, 114, 1>, <68, 115, 2>, <68, 116, 1>, <68, 
    117, -1>, <68, 119, -2>, <68, 122, 1>, <68, 124, 1>, <68, 125, -1>, <68, 
    127, 1>,  <69, 65, -2>, <69, 66, -1>, <69, 67, 1>, <69, 69, 1>, <69, 71, 4>,
    <69, 72, 2>, <69, 74, -1>, <69, 75, 1>, <69, 78, 1>, <69, 79, -1>, <69, 80, 
    -1>, <69, 81, -1>, <69, 83, 3>, <69, 84, -3>, <69, 85, 2>, <69, 87, -2>, 
    <69, 88, 1>, <69, 89, -1>, <69, 90, -1>, <69, 91, 1>, <69, 93, 1>, <69, 95, 
    -1>, <69, 97, 1>, <69, 106, -1>, <69, 115, 2>, <69, 116, 1>, <69, 117, -1>, 
    <69, 122, 1>, <69, 123, 1>, <69, 125, -1>, <69, 126, 1>, <69, 127, 1>, <69, 
    128, 1>,  <70, 65, -2>, <70, 66, -1>, <70, 67, 4>, <70, 69, 2>, <70, 71, 5>,
    <70, 72, -1>, <70, 74, -1>, <70, 75, 2>, <70, 77, 1>, <70, 78, 1>, <70, 80, 
    -1>, <70, 81, -2>, <70, 82, 2>, <70, 83, 2>, <70, 84, -2>, <70, 88, 1>, <70,
    89, -1>, <70, 90, -2>, <70, 91, -1>, <70, 95, 1>, <70, 96, 1>, <70, 97, 1>, 
    <70, 99, 1>, <70, 104, -1>, <70, 108, 1>, <70, 109, 1>, <70, 113, -1>, <70, 
    114, 1>, <70, 115, 2>, <70, 116, 1>, <70, 117, -1>, <70, 119, -2>, <70, 122,
    1>, <70, 124, 1>, <70, 125, -1>,  <71, 65, -1>, <71, 67, 1>, <71, 69, -1>, 
    <71, 71, 4>, <71, 72, 2>, <71, 74, -2>, <71, 78, 1>, <71, 79, -1>, <71, 80, 
    -1>, <71, 81, -2>, <71, 82, -1>, <71, 83, 4>, <71, 84, -3>, <71, 85, 2>, 
    <71, 86, 1>, <71, 87, -3>, <71, 88, 2>, <71, 89, -1>, <71, 90, 1>, <71, 91, 
    2>, <71, 93, 2>, <71, 95, -1>, <71, 96, -1>, <71, 97, 1>, <71, 100, -1>, 
    <71, 105, -1>, <71, 106, -1>, <71, 110, 1>, <71, 111, -1>, <71, 115, 2>, 
    <71, 116, 1>, <71, 117, -1>, <71, 122, 1>, <71, 123, 1>, <71, 125, -1>, <71,
    126, 1>, <71, 127, 1>, <71, 128, 1>,  <72, 65, 2>, <72, 66, 3>, <72, 68, 
    -1>, <72, 71, 2>, <72, 72, -2>, <72, 73, 1>, <72, 74, -2>, <72, 75, -1>, 
    <72, 80, -2>, <72, 82, 2>, <72, 83, -1>, <72, 87, 1>, <72, 88, 1>, <72, 89, 
    -2>, <72, 90, -2>, <72, 93, -1>, <72, 94, -1>, <72, 95, -1>, <72, 96, -1>, 
    <72, 97, 2>, <72, 101, -1>, <72, 102, -1>, <72, 105, 1>, <72, 112, 1>, <72, 
    115, 1>, <72, 116, -1>, <72, 117, 1>, <72, 123, -1>, <72, 124, 1>, <72, 125,
    -1>, <72, 128, 1>,  <73, 65, -3>, <73, 66, -2>, <73, 67, 4>, <73, 69, 2>, 
    <73, 71, 2>, <73, 74, 1>, <73, 75, 2>, <73, 77, 1>, <73, 78, 1>, <73, 81, 
    -1>, <73, 82, 1>, <73, 83, 1>, <73, 84, -1>, <73, 85, -1>, <73, 88, -1>, 
    <73, 89, 1>, <73, 91, -1>, <73, 95, 2>, <73, 96, 1>, <73, 97, -1>, <73, 99, 
    1>, <73, 104, -1>, <73, 105, -1>, <73, 108, 1>, <73, 109, 1>, <73, 112, -1>,
    <73, 113, -1>, <73, 114, 1>, <73, 116, 1>, <73, 117, -1>, <73, 119, -1>, 
    <73, 128, -1>,  <74, 66, 1>, <74, 67, 1>, <74, 68, -2>, <74, 69, 2>, <74, 
    70, 1>, <74, 71, 1>, <74, 72, -1>, <74, 73, 1>, <74, 78, 1>, <74, 79, -1>, 
    <74, 80, -1>, <74, 81, 2>, <74, 82, 1>, <74, 84, -1>, <74, 88, -1>, <74, 90,
    -1>, <74, 93, -1>, <74, 94, -1>, <74, 98, 1>, <74, 99, -1>, <74, 102, -1>, 
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]: Check := false) where w := K.1 where K := ext<K|Polynomial(K, [-4, 1, 1])> where K is 
RationalField();
K<w>:=BaseRing(M);
K;
M;
