/*
Generated by Allan Steel in Magma, 2010.

Field defining polynomial: x^2 + x + 5 [optimized Q(sqrt(-7)]].

Traces:    [ 11, 2 ]
Density:   [ 0.033064206, 0.80430604 ]
Numer max: [ 2, 7 ]
Numer av:  [ 0.021337947, 0.70895809 ]
Denom max: [ 1, 8 ], [ [], [ <2, 3> ] ]
Denom LCM: [ 1, 8 ], [ [], [ <2, 3> ] ]

Character:
( 51, 11, 3, 6, 0, 3, 3, -1, 1, 2, 0, 3*zeta(7)_7^4 + 3*zeta(7)_7^2 + 
    3*zeta(7)_7, -3*zeta(7)_7^4 - 3*zeta(7)_7^2 - 3*zeta(7)_7 - 3, 2, 
    zeta(7)_7^4 + zeta(7)_7^2 + zeta(7)_7 - 1, -zeta(7)_7^4 - zeta(7)_7^2 - 
    zeta(7)_7 - 2, 1, 1, 0, 0, -zeta(7)_7^4 - zeta(7)_7^2 - zeta(7)_7, 
    zeta(7)_7^4 + zeta(7)_7^2 + zeta(7)_7 + 1, -zeta(7)_7^4 - zeta(7)_7^2 - 
    zeta(7)_7 - 1, zeta(7)_7^4 + zeta(7)_7^2 + zeta(7)_7, 1, 0, 0, -1, -1, 0, 0,
    zeta(7)_7^4 + zeta(7)_7^2 + zeta(7)_7, -zeta(7)_7^4 - zeta(7)_7^2 -
    zeta(7)_7 - 1 )
*/

G := PermutationGroup(ATLASGroup("He"));
M :=
GModule(G, [
    Matrix(SparseMatrix(K, 51, 51, [
    <1, 1, 1>,  <2, 4, 1>,  <3, 5, 1>,  <4, 2, 1>,  <5, 3, 1>,  <6, 6, 1>,  <7, 
    13, 1>,  <8, 10, -1>,  <9, 9, 1>,  <10, 8, -1>,  <11, 20, 1>,  <12, 24, 1>, 
    <13, 7, 1>,  <14, 14, 1>,  <15, 25, 1>,  <16, 26, -1>,  <17, 17, 1>,  <18, 
    21, -1>,  <19, 19, 1>,  <20, 11, 1>,  <21, 18, -1>,  <22, 27, -1>,  <23, 23,
    1>,  <24, 12, 1>,  <25, 15, 1>,  <26, 16, -1>,  <27, 22, -1>,  <28, 28, w>, 
    <28, 29, -w + 1>, <28, 30, -2>,  <29, 28, w + 1>, <29, 29, -w>, <29, 30, w>,
    <30, 30, 1>,  <31, 31, 1>,  <32, 32, 1>,  <33, 31, w>, <33, 32, -w + 1>, 
    <33, 33, -1>,  <34, 34, w>, <34, 35, -w + 1>, <34, 36, -2>,  <35, 34, w + 
    1>, <35, 35, -w>, <35, 36, w>,  <36, 36, 1>,  <37, 46, 1>, <37, 48, 1>,  
    <38, 46, -w - 1>, <38, 47, w + 1>, <38, 48, -w>,  <39, 46, -1>, <39, 47, 1>,
    <39, 48, -1>,  <40, 40, -w>, <40, 41, w - 1>, <40, 42, 2>,  <41, 40, -1>, 
    <41, 41, w + 2>, <41, 42, -w>,  <42, 40, w + 1>, <42, 41, -w + 1>, <42, 42, 
    -1>,  <43, 49, w + 1>, <43, 50, -w + 1>, <43, 51, -1>,  <44, 50, -w>, <44, 
    51, -1>,  <45, 49, -1>, <45, 51, -1>,  <46, 37, 1>, <46, 38, -1>, <46, 39, w
    + 1>,  <47, 37, 1>, <47, 39, 1>,  <48, 38, 1>, <48, 39, -w - 1>,  <49, 43, 
    -w>, <49, 44, w - 1>, <49, 45, 1>,  <50, 43, -1>, <50, 44, w + 2>, <50, 45, 
    -w - 1>,  <51, 43, w>, <51, 44, -w + 1>, <51, 45, -2> ])),
    Matrix(K, 51, 51,
        [ [ -1/8, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ -1/8, 0 ], [ -1/8, -1/8 ], [ 1/4,
        0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 1/8 ], [ 3/8, 3/8 ], [ 0, 0 ], [ 1/8, 0 ],
        [ -1/8, 0 ], [ 0, 0 ], [ 1/4, 1/8 ], [ 3/8, 3/8 ], [ 0, -1/8 ], [ 0, 0 
        ], [ -1/8, 0 ], [ -1/4, -1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], 
        [ 1/8, 0 ], [ 0, -1/8 ], [ 0, -1/8 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ -1/8,
        -1/8 ], [ 1/8, -3/8 ], [ -1/2, 1/8 ], [ 1/4, 1/8 ], [ 0, 1/8 ], [ 1/8, 0
        ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 3/8, 0 ], [ -1/4,
        -1/8 ], [ 1/4, 1/8 ], [ -1/8, -1/4 ], [ 0, 1/8 ], [ 1/8, -1/8 ], [ -1/4,
        -3/8 ], [ -3/8, 3/8 ], [ 1/4, 0 ], [ 0, -1/8 ], [ -1/8, 1/8 ], [ 1/8, 0 
        ], [ -1/8, 0 ], [ 1/4, 0 ], [ 0, -1/8 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 
        1/4, 1/8 ], [ 1/8, 0 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 1/4, 1/4 ], [ 1/4, 1/8
        ], [ -1/8, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 1/4, 1/4 ], [ 
        1/8, 0 ], [ 0, 0 ], [ -1/8, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 
        1/8, 1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 0, 0 ], 
        [ -1/8, 0 ], [ 1/8, 1/8 ], [ 1/8, -3/8 ], [ -1/2, 1/8 ], [ 3/8, 1/4 ], [
        1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 0, -1/8
        ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/4, -1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 
        0, 0 ], [ -1/4, -3/8 ], [ -1/2, 1/4 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/4, 0 
        ], [ 1/4, 1/8 ], [ 0, 0 ], [ 1/4, 0 ], [ 1/8, 0 ], [ -1/4, 0 ], [ -1/8, 
        0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ 1/4, 1/4 ], 
        [ -1/8, 0 ], [ 0, -1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/4, 1/4
        ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ -1/8, -1/8 ], [ -1/8, 0
        ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 
        0, 0 ], [ -1/8, -1/8 ], [ 1/8, -3/8 ], [ -3/8, 1/8 ], [ 1/8, 1/8 ], [ 
        -1/8, -1/8 ], [ 0, 1/4 ], [ 1/4, 0 ], [ 1/4, 0 ], [ -1/8, -1/8 ], [ 0, 0
        ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ -1/8, 
        1/8 ], [ -1/4, -1/4 ], [ -3/8, 1/8 ], [ -1/8, 1/8 ], [ 0, 0 ], [ 1/4, 0 
        ], [ -1/4, -1/4 ], [ -1/4, 0 ], [ 1/4, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 
        -1/8, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 1/4, 1/4 ],
        [ -1/8, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, -1/8 ], [ 1/4,
        1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 0 
        ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 
        0 ], [ 1/4, 0 ], [ -1/8, -1/8 ], [ 1/2, -1/4 ], [ -7/8, -1/8 ], [ 1/2, 
        1/2 ], [ -1/8, 1/8 ], [ 1/8, -1/8 ], [ -1/4, 0 ], [ -1/8, 1/8 ], [ 1/4, 
        0 ], [ -1/4, 0 ], [ -1/4, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [
        0, 0 ], [ 0, 0 ], [ -3/8, -3/8 ], [ -1/4, 1/2 ], [ 1/8, -1/8 ], [ 0, 1/4
        ], [ 1/4, 0 ], [ -1/4, 0 ], [ -1/8, 0 ], [ 1/4, 0 ], [ 1/4, 1/8 ], [ 
        -1/8, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, -1/8
        ], [ 1/4, 1/4 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 1/8 ], [ 1/8, 1/8 ], [ 
        0, 0 ], [ 1/4, 1/4 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 
        1/8, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/4, 1/8 ], [ -1/8, 1/8 ], [ 1/8, 0
        ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 1/2, -1/4 ], [ -3/4,
        -1/8 ], [ 1/4, 3/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 
        -1/4, 0 ], [ 1/4, 1/8 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 1/8 
        ], [ 0, -1/8 ], [ -1/8, 1/8 ], [ -3/8, -1/4 ], [ -1/8, 3/8 ], [ 0, 0 ], 
        [ 0, -1/8 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/4, 0 
        ], [ -1/8, 0 ], [ -1/8, 1/8 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 
        1/8 ], [ 3/8, 3/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, 
        1/8 ], [ 3/8, 3/8 ], [ 0, 1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 0,
        0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 1/8 ], [ -1/4, -1/8
        ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 3/8, -1/8 ], [ -1/2, -1/8
        ], [ 1/4, 3/8 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8,
        -1/8 ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 
        1/4, 1/8 ], [ 1/8, -1/8 ], [ -1/4, -1/8 ], [ -1/8, 1/8 ], [ -1/4, 0 ], [
        0, 1/8 ], [ 1/8, -1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ 
        -1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 
        0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 0,
        0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 0, 1/8 ], [ 
        -1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 
        1/4, 0 ], [ -1/8, -1/8 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 
        -1/8, -1/8 ], [ -1/8, 1/8 ], [ 1/8, -1/8 ], [ -1/4, 0 ], [ -1/4, 0 ], [ 
        1/8, 1/8 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, -1/8 ], [ 0, 0 ], [ 1/8, 1/8 
        ], [ 1/8, -1/8 ], [ -1/4, 0 ], [ 1/4, 0 ], [ -1/4, -1/4 ], [ 0, 1/4 ], [
        -1/4, 0 ], [ 1/4, 1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 
        0, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/8, 
        -1/8 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 0, 1/8 ], [ 0, -1/8 ], [ 0, -1/8 ], [ 
        1/8, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8,
        0 ], [ -1/8, 0 ], [ 0, 1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ -1/4, 0 ], [
        0, 0 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ 1/8, 0
        ], [ -1/8, 0 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 
        1/8, 1/8 ], [ 0, -1/8 ], [ 0, -1/8 ], [ -1/4, 1/8 ], [ 1/4, 1/8 ], [ 
        -1/8, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ -1/4, 1/8 ], [ 3/8, 1/8 ], [ 
        -1/8, -1/8 ], [ -1/4, -1/8 ], [ 1/4, 1/4 ], [ 0, -1/8 ], [ 0, 0 ], [ 0, 
        0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ 0, 
        0 ], [ 0, 0 ], [ 0, 1/4 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ 0, 0 ], [ 
        0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ 0, 0 ], [ 
        1/4, 0 ], [ 0, 1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 0 
        ], [ -1/4, -1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, -1/4 ], [ -1/4, 0 
        ], [ 0, 0 ], [ -1/4, 0 ], [ 1/4, 1/4 ], [ 0, -1/4 ], [ 0, 0 ], [ 0, 0 ],
        [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 
        1/4, 0 ], [ -1/4, -1/4 ], [ 0, 1/4 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [
        1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 1/8, 0 ], [
        0, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 
        0, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8,
        0 ], [ 0, 1/8 ], [ 0, 0 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 
        1/4, 0 ], [ -3/8, -1/8 ], [ 1/8, 1/8 ], [ 1/4, 0 ], [ -1/2, -1/4 ], [ 
        1/4, 1/4 ], [ -1/8, -1/8 ], [ 0, 1/4 ], [ 1/4, 0 ], [ 1/8, -1/8 ], [ 
        -1/4, 0 ], [ 1/4, 0 ], [ -1/8, 1/8 ], [ 1/4, 0 ], [ -1/8, -1/8 ], [ 0, 0
        ], [ 1/4, 0 ], [ -1/8, -1/8 ], [ 1/8, -1/8 ], [ -1/8, 1/8 ], [ 1/4, 0 ],
        [ -1/4, -1/4 ], [ 1/4, 1/4 ], [ 0, -1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ],
        [ 0, 1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ 0, 0 ],
        [ 1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 1/4, 0 ], [ -1/8, -1/8 ], 
        [ -1/8, 0 ], [ -1/8, 0 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, -1/8 
        ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ -1/8, 
        0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 0, -1/8 ],
        [ -1/8, 1/8 ], [ -1/8, 0 ], [ 1/4, 1/4 ], [ 1/4, -1/8 ], [ -1/8, -1/8 ],
        [ 0, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 1/8 ], [ 1/4, 1/8 ], [ -1/4, 
        -1/8 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 0, 1/8
        ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, 0 ], [ -1/8,
        0 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 1/8, 0 
        ], [ 0, -1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 1/8 ],
        [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/4, 1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 
        0, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 1/8, -1/8 ], [ 1/8, 1/8 ], [ 1/8, 1/8
        ], [ 0, 1/8 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 
        0, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ 0, -1/8 
        ], [ 0, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 0, 1/8 ], [ 
        1/4, 0 ], [ -1/8, -1/8 ], [ -1/4, 0 ], [ 3/8, 1/8 ], [ -1/8, -1/4 ], [ 
        0, 0 ], [ 0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 0, 0 
        ], [ -1/8, 0 ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, 
        0 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 
        0 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 
        -1/8, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 
        -1/8 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ -1/8, -1/8 ], [ 1/4, 0 ], [ -3/8, 
        -1/4 ], [ 0, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 
        1/4, 0 ], [ -1/4, -1/8 ], [ 0, 1/8 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 1/8 
        ], [ 1/4, -1/8 ], [ -1/4, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 
        1/4, 1/8 ], [ -1/4, -1/4 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ],
        [ -1/8, 0 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 
        1/8, 1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/4, -1/8 ],
        [ -1/8, -1/8 ], [ 0, -1/8 ], [ -1/4, -1/4 ], [ -1/8, 0 ], [ 1/4, 1/8 ], 
        [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 0, 
        1/8 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ -1/8, -1/8 ], [ 1/8, 1/8 ], [ 0, 
        -1/8 ], [ 0, 1/8 ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 
        1/8, 1/8 ], [ 0, -1/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 0, 1/8 ], [ -1/8, 0 
        ], [ 1/4, 1/8 ], [ 1/8, -1/8 ], [ 0, 1/8 ], [ 1/8, -1/8 ], [ -1/4, 0 ], 
        [ 0, -1/8 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 
        1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], 
        [ -1/8, 0 ], [ 1/8, 0 ], [ 1/8, -1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 0,
        -1/8 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], 
        [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 0,
        1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 0, -1/8 ], [ 
        -3/8, 0 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 1/8, 
        1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ -3/8, -1/8 ], [ 1/4, 1/4 ], [ 0, -1/8 ],
        [ 0, -1/8 ], [ -1/8, 1/8 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], 
        [ 1/4, 0 ], [ -3/8, -1/8 ], [ 1/8, 1/4 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 
        1/8, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 1/8 ], [ -1/8, 0 ], [ 0, -1/8 
        ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 0, 0 ], [ -1/8, 0
        ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], 
        [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ 1/8, -1/8 ], [ -1/8, -1/8 ], [ 
        0, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 1/4, -1/8 ], [ -1/4, -1/8 ], [ -1/8, 0
        ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 
        -1/4, -1/8 ], [ 1/8, 1/4 ], [ 0, -1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8,
        1/8 ], [ -1/8, 1/8 ], [ 1/4, 1/8 ], [ -1/8, -1/8 ], [ -1/8, -1/4 ], [ 
        -1/8, 1/8 ], [ 1/8, 0 ], [ 1/4, -1/8 ], [ -3/8, -1/8 ], [ 1/8, 1/8 ], [ 
        1/8, 1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/4, -1/8 ], [ 1/8, 0 
        ], [ 0, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 0, 0 
        ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 1/8, 0 ], [ 0, 0
        ], [ -1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 1/8,
        0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ 3/8, 0 ], [ 
        -1/4, -1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ -1/4, 0 ], [ 
        1/4, 1/8 ], [ -1/4, -1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/4, 1/8 ], [ 
        1/8, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ 0, 0
        ], [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/4, -1/8 ], [ 1/4, 1/4 ], [ 0, 
        -1/4 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 1/8, 1/8 ], [ 0, 1/8 ],
        [ 1/8, -1/8 ], [ -1/8, -1/8 ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ -1/8, 0 ],
        [ 1/8, 1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, 0
        ], [ 0, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 
        0, 1/8 ], [ -1/8, 1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ 
        0, -1/8 ], [ 0, 1/8 ], [ 0, -1/8 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 
        1/8 ], [ 3/8, 0 ], [ -1/4, -1/8 ], [ -1/8, 0 ], [ 1/4, 1/8 ], [ 0, -1/8 
        ], [ -1/8, 0 ], [ 1/4, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 0 ],
        [ 0, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, -1/8 ], [ -1/8, 1/8 ], [ 1/8, 
        -1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, -1/8 ], [ 
        0, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 
        -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 0, 1/8 
        ], [ -1/4, -1/4 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ],
        [ 0, 0 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 1/4, 1/8 ], [ 1/4, 0 ], [ -1/4, 
        -1/8 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 0, -1/8 ], [ 0, -1/8
        ], [ -1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 3/8,
        0 ], [ -1/4, -1/8 ], [ 1/4, 1/8 ], [ -1/8, -1/4 ], [ 0, 1/8 ], [ 1/8, 
        -1/8 ], [ 0, -1/8 ], [ -1/8, 1/8 ], [ 1/4, 0 ], [ 0, 1/8 ], [ 1/8, -1/8 
        ], [ -1/8, 0 ], [ -1/8, -1/8 ], [ 0, 0 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ 
        0, -1/8 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ],
        [ 1/8, -1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 1/8, 0 ],
        [ 0, -1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 1/8, 0
        ], [ -1/8, 0 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 
        -1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8,
        0 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 
        1/8 ], [ 1/8, -1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/4, -1/4 ], [ -1/8, 
        1/8 ], [ 1/8, 1/8 ], [ 1/8, -1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/8, -1/8 
        ], [ -1/8, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, -1/8 ], [
        0, 0 ], [ -1/8, -1/8 ], [ 1/4, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 
        -1/8, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 
        ], [ 1/4, 0 ], [ 1/8, 0 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 
        -1/8 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 
        1/8, 1/4 ], [ 0, -1/8 ], [ 1/8, 0 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ 1/8, 
        3/8 ], [ 1/8, -1/4 ], [ -1/4, 1/8 ], [ 1/4, 1/8 ], [ -1/8, -1/4 ], [ 0, 
        1/8 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 1/8, -1/8 ], [ 1/8, -1/8 ], [ -1/4, 
        1/8 ], [ 1/4, 0 ], [ -1/8, 0 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ -1/4, -1/8
        ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 0, -1/4 ], [ 0, 1/8 ], [ 0,
        0 ], [ 0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/4, 0 
        ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 
        -1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ -1/8, 0 ], [
        0, 0 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 
        0, 0 ], [ 1/4, 1/8 ], [ 0, -1/4 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 1/8, 0 
        ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, 
        1/8 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 
        -1/8, -1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/4, 
        0 ], [ 1/4, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ -1/8, -1/8 ], [
        1/4, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 
        -1/8, 0 ], [ 1/4, 1/8 ], [ 1/8, -1/8 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0,
        1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ 0,
        1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 0, 
        -1/8 ], [ -1/8, 1/8 ], [ 1/4, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8, 1/8
        ], [ 0, 1/8 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ 
        0, 0 ], [ 1/8, -1/8 ], [ -1/4, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 
        ], [ 0, 0 ], [ 3/8, 1/8 ], [ -1/4, -1/4 ], [ 1/8, 1/4 ], [ 1/4, 0 ], [ 
        -1/4, -1/4 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, 
        -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 
        0, -1/8 ], [ 1/8, 0 ], [ 1/8, -1/8 ], [ 1/4, 1/8 ], [ 0, 0 ], [ 0, 0 ], 
        [ 0, 1/8 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/8, 0 ], 
        [ 0, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], 
        [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 1/8 ], [ -1/4, 1/8 ], [ 3/8, 1/8 ], [ -1/4,
        -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 0, -1/8 ], [ -1/4, 1/8 ], [
        1/4, 1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ -1/4, -1/8 
        ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ 
        0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 
        0, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 0, 0 ], 
        [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 
        1/4, 0 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 1/4,
        0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 0, -1/8 ], [ 1/4, 1/8 ], [ 
        -1/8, -1/4 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 
        -1/8, 1/8 ], [ 3/8, 0 ], [ -1/4, -1/8 ], [ 1/4, -1/8 ], [ -3/8, -1/4 ], 
        [ 0, 1/8 ], [ 0, 1/8 ], [ 1/4, -1/8 ], [ -3/8, -1/8 ], [ 1/8, 1/8 ], [ 
        0, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ 1/4, 1/8 
        ], [ -1/8, -1/8 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0
        ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ -1/8, 0 
        ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], 
        [ 1/8, 1/8 ], [ -1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/4, 0 ], [ -1/8, -1/8
        ], [ -1/8, -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ -1/8, 0 ], [ -1/8, -1/8 ], [
        -1/4, -1/8 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 0, -1/8 ], [ 
        -1/8, 1/8 ], [ -1/8, 0 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ -1/8, -1/8 ], [ 
        0, 1/8 ], [ 0, -1/4 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 0, -1/8 ],
        [ -1/8, 1/8 ], [ 1/8, -1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 0,
        0 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, 1/4 ], [ 0, -1/8 ], [ 0, 0
        ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 1/4, 0 
        ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 
        1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 
        0, 0 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 
        0, 0 ], [ 1/4, 1/8 ], [ 0, -1/4 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ -1/8, 0 
        ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, 
        1/8 ], [ 0, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 
        1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/4, 0
        ], [ 1/4, 1/8 ], [ -1/4, -1/8 ], [ 0, 0 ], [ 1/4, 0 ], [ 1/4, 1/8 ], [ 
        0, 0 ], [ -1/4, 0 ], [ -1/4, -1/4 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ 0, 0 ],
        [ -1/4, 0 ], [ -1/8, -1/4 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ 
        0, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ -1/8, 0 ], [ -1/8, 1/8 ], 
        [ 1/4, 0 ], [ 1/8, -1/8 ], [ 1/4, 0 ], [ 1/8, 1/4 ], [ 0, 1/8 ], [ 1/8, 
        0 ], [ 0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 1/8, -1/8 ], [ 0, 1/8 ], [ 1/8, 0
        ], [ 0, -1/8 ], [ -1/8, 1/4 ], [ 1/4, 0 ], [ 1/8, 1/4 ], [ -1/8, -3/8 ],
        [ -1/4, 1/8 ], [ 1/4, 1/8 ], [ -1/8, -1/4 ], [ -1/8, 1/4 ], [ -1/8, 0 ],
        [ 1/8, 0 ], [ -3/8, -1/8 ], [ 1/8, 0 ], [ 1/8, -1/8 ], [ 0, 0 ], [ 0, 
        1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ -1/4, 0 ], [ 1/2, 1/4 ], [ 0, -1/8 ], [ 
        0, -1/8 ], [ 0, -1/8 ], [ 0, 1/8 ], [ -1/4, 0 ], [ 1/8, 0 ], [ 1/8, 0 ],
        [ 0, 1/8 ], [ 0, 1/8 ], [ -3/8, -1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ -1/8,
        0 ], [ 0, 1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ 
        1/8, 1/8 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 0, -1/8 ], [ 1/8, 0 ], [ 1/4,
        0 ], [ -1/8, -1/8 ], [ 1/4, 1/8 ], [ 0, -1/8 ], [ 0, 1/8 ], [ -3/8, -1/4
        ], [ 1/4, 1/4 ], [ 1/8, -1/4 ], [ -1/4, 0 ], [ 3/8, 1/4 ], [ 0, -1/8 ], 
        [ 1/8, 0 ], [ -3/8, 0 ], [ 1/4, 1/8 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 1/8, 
        1/8 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 
        -1/8 ], [ 1/4, 1/8 ], [ 0, 1/8 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/2,
        0 ], [ -1/8, 0 ], [ -1/4, 0 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 
        -1/8, 0 ], [ 0, -1/8 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 1/8 ], [ 0, 0 
        ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 
        1/4, 0 ], [ 1/8, 0 ], [ 0, -1/8 ], [ -1/4, 0 ], [ 0, 1/8 ], [ -1/8, 0 ],
        [ -1/8, -1/8 ], [ 1/8, -1/8 ], [ -1/4, -1/8 ], [ 1/4, 0 ], [ -3/8, -1/4 
        ], [ 1/8, 1/8 ], [ -1/4, 0 ], [ 1/8, 0 ], [ -1/8, -1/4 ], [ 0, 1/8 ], [ 
        1/8, 0 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 1/4, 1/2 ], [ 1/4, -1/8 ], [ -1/4,
        -1/8 ], [ 1/4, 1/8 ], [ -1/8, -1/4 ], [ 1/4, 1/8 ], [ -1/8, 0 ], [ 3/8, 
        1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 1/8, -1/8 ], [ 0, 1/8 ], [ 1/8, -1/8
        ], [ -1/8, 0 ], [ 0, 1/4 ], [ 0, 0 ], [ 1/8, 0 ], [ -1/4, 0 ], [ 1/8, 
        -1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/4, 1/8 ], [ -1/8, 1/8 ],
        [ 1/8, 0 ], [ 1/8, 1/8 ], [ 1/4, 1/4 ], [ 1/8, 0 ], [ 1/8, 1/4 ], [ 1/8,
        -1/8 ], [ -1/8, -1/8 ], [ -1/4, -1/4 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 1/8 
        ], [ 1/4, 1/4 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [
        0, -1/8 ], [ 0, 0 ], [ -1/8, -1/4 ], [ -1/8, 1/8 ], [ 0, 0 ], [ -1/8, 0 
        ], [ 1/8, 0 ], [ -1/4, -1/8 ], [ 1/8, 1/4 ], [ 0, -1/4 ], [ 0, -1/8 ], [
        0, 0 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 0, 1/8 ], [
        -1/8, 0 ], [ -1/8, 1/8 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ 
        1/4, 1/8 ], [ 1/8, -1/8 ], [ -1/8, 0 ], [ 1/4, 1/4 ], [ 0, 0 ], [ 0, 0 
        ], [ 1/4, 1/4 ], [ -1/4, -1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 0 
        ], [ 1/4, 1/4 ], [ 0, 0 ], [ 1/4, 0 ], [ 1/4, 0 ], [ 0, 0 ], [ 1/4, 0 ],
        [ -1/4, -1/4 ], [ 0, 0 ], [ -1/2, 0 ], [ 1/4, 0 ], [ -1/4, 0 ], [ 0, 0 
        ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ 0, 0 ], [ -1/4, 0 ], [ 0,
        0 ], [ -1/4, 0 ], [ 1/4, 1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], 
        [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 1/4 ], [ 1/4, 0 
        ], [ -1/4, 0 ], [ 1/4, 0 ], [ -1/4, 0 ], [ 1/4, 1/4 ], [ 0, 0 ], [ 0, 0 
        ], [ 0, 0 ], [ 1/4, 0 ], [ -1/4, -1/4 ], [ 0, 1/4 ], [ 1/4, 0 ], [ 0, 0 
        ], [ 0, 1/8 ], [ 1/4, 0 ], [ -1/4, 0 ], [ 0, -1/8 ], [ -1/4, 0 ], [ 1/8,
        0 ], [ 1/8, 0 ], [ 1/4, 0 ], [ 0, 1/8 ], [ 1/8, -1/8 ], [ -1/8, -1/8 ], 
        [ -1/8, 0 ], [ -1/8, -1/4 ], [ -1/4, 0 ], [ 1/4, 0 ], [ 0, 1/4 ], [ 1/8,
        -1/8 ], [ -1/8, 0 ], [ -1/8, 0 ], [ -1/4, 0 ], [ 1/8, 0 ], [ 0, -1/8 ], 
        [ -1/8, -1/8 ], [ -1/4, 0 ], [ 1/8, 1/4 ], [ 0, 0 ], [ 0, 1/8 ], [ 1/4, 
        0 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ -1/8, 0 ], [
        1/4, 0 ], [ 1/8, 0 ], [ -1/8, 1/8 ], [ 1/4, 1/8 ], [ 0, 1/8 ], [ 3/8, 0 
        ], [ -1/8, 0 ], [ 1/8, -1/4 ], [ -3/8, 0 ], [ 3/8, 1/8 ], [ 1/8, 0 ], [ 
        -1/8, -1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ 1/4, 
        1/8 ], [ 0, 0 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 0, 0 ], [ -1/4, 0 ], [ 
        1/4, 0 ], [ 1/8, -1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/4, 0 ], [ -1/8, 0 ],
        [ 1/8, 1/4 ], [ -1/8, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 
        ], [ -1/8, -1/4 ], [ -1/8, 0 ], [ -1/8, -1/8 ], [ -1/4, -1/4 ], [ 1/8, 
        1/8 ], [ 1/4, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, 
        -1/8 ], [ 0, 0 ], [ 1/8, -1/8 ], [ -1/2, -1/8 ], [ 1/8, 1/4 ], [ 0, 1/8 
        ], [ 3/8, 0 ], [ -1/4, 0 ], [ -3/8, 0 ], [ 3/8, 1/8 ], [ -1/4, -1/8 ], [
        -1/4, -1/8 ], [ -1/8, 0 ], [ -1/8, 0 ], [ -1/8, -1/4 ], [ 1/8, 1/4 ], [ 
        1/8, -1/8 ], [ 1/8, 1/4 ], [ 1/8, -1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 
        ], [ 0, -1/8 ], [ 1/4, 0 ], [ -1/2, -1/4 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 
        1/4, 0 ], [ 0, 1/8 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 0, -1/8
        ], [ 0, 1/8 ], [ -1/8, 0 ], [ 3/8, 1/8 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ 
        0, -1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 1/8 ], [ -1/8, 0 
        ], [ -1/4, 0 ], [ 1/8, 0 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 1/4, 0 ], [ 
        -1/8, -1/8 ], [ 1/4, 1/8 ], [ -1/4, -1/4 ], [ 0, 1/8 ], [ 1/8, -1/4 ], [
        -1/2, 1/8 ], [ 3/8, 1/8 ], [ 0, 1/8 ], [ 1/8, -1/8 ], [ 0, 1/8 ], [ 
        -1/8, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ -1/4, 0 ], [ 1/8, 1/8 ], [ -1/8, 0 
        ], [ -3/8, 0 ], [ 3/8, 1/8 ], [ -1/8, -1/8 ], [ 3/8, -1/8 ], [ -5/8, 
        -1/8 ], [ 1/4, 1/8 ], [ -1/4, 0 ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 0, -1/8
        ], [ -1/2, 0 ], [ -1/8, 0 ], [ 1/4, 1/8 ], [ 1/8, -1/8 ], [ 1/8, 0 ], [ 
        0, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], 
        [ 0, -1/8 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 
        0, 0 ], [ 1/4, 1/8 ], [ 1/8, -1/8 ], [ 0, 1/8 ], [ 1/4, 1/4 ], [ 0, -1/8
        ], [ -1/8, 0 ], [ -1/8, 0 ], [ -1/8, -1/4 ], [ -1/4, 0 ], [ 1/4, 0 ], [ 
        -3/8, -1/8 ], [ 1/8, 1/8 ], [ 0, -1/4 ], [ -1/8, 1/8 ], [ 1/8, -1/8 ], [
        0, 1/4 ], [ 1/8, -1/8 ], [ -1/4, 0 ], [ 1/4, 0 ], [ -1/4, 0 ], [ 1/4, 0 
        ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 0, 1/4 ], [ 1/8, -1/8 ], [ -1/8, 
        1/8 ], [ -3/8, -3/8 ], [ -1/8, 3/8 ], [ 1/8, -1/8 ], [ 0, 1/4 ], [ 1/8, 
        -1/8 ], [ -1/8, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 
        -1/8, -1/8 ], [ -1/8, 1/8 ], [ 0, -1/8 ], [ -1/8, 0 ], [ -1/4, 0 ], [ 
        1/8, 0 ], [ -1/8, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 3/8, 1/8 
        ], [ 1/8, 0 ], [ -1/8, -1/4 ], [ 0, 0 ], [ 1/4, 1/8 ], [ 1/8, 0 ], [ 0, 
        0 ], [ 0, -1/4 ], [ 1/4, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ -1/8, 1/8 
        ], [ 0, 1/8 ], [ -1/4, -3/8 ], [ -3/8, 1/4 ], [ 3/8, 0 ], [ 0, 1/8 ], [ 
        1/8, 1/8 ], [ 1/8, 0 ], [ -1/4, 0 ], [ 1/8, 0 ], [ -1/4, -1/8 ], [ 1/4, 
        -1/8 ], [ -1/4, 1/8 ], [ 1/2, 1/8 ], [ 0, 1/8 ], [ 1/4, -1/8 ], [ -3/8, 
        -1/8 ], [ -1/4, 1/4 ], [ 5/8, 0 ], [ -3/8, -1/8 ], [ 1/8, 0 ], [ -3/8, 
        -1/8 ], [ 1/8, 1/4 ], [ -1/4, -1/8 ], [ 1/8, 3/8 ], [ 1/8, -1/8 ], [ 0, 
        0 ], [ 0, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 1/8, 1/4 ], [ 
        -1/4, 0 ], [ 0, 1/8 ], [ 1/8, 1/4 ], [ 1/8, 0 ], [ 1/8, 1/4 ], [ 0, 0 ],
        [ -1/8, 0 ], [ 0, 1/8 ], [ 0, -1/8 ], [ 1/8, 0 ], [ -3/8, 0 ], [ 0, 0 ],
        [ 1/8, -1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ -1/4, -1/8 ], [ 1/8, -1/8 ], 
        [ -1/8, 0 ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ 1/8, 1/8 ], [ -1/4, 1/8 ], [ 
        1/8, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 1/8, 1/8 ], [ 0, -1/8 ], [ 0, 1/4 
        ], [ 0, -1/8 ], [ -1/4, 1/8 ], [ -1/8, -1/4 ], [ -1/8, 1/4 ], [ 1/4, 
        -1/8 ], [ 1/4, 1/8 ], [ -3/8, -1/4 ], [ 0, 1/4 ], [ 1/8, 1/8 ], [ 0, 
        -1/8 ], [ 0, 0 ], [ 1/4, 1/8 ], [ -1/4, 0 ], [ 3/8, 1/4 ], [ -1/4, 1/8 
        ], [ 3/8, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 0, 0 ], [ -1/4, 0 ], [ 0, 0
        ], [ 0, 1/8 ], [ 1/4, 0 ], [ 0, 1/8 ], [ 1/4, 1/8 ], [ 1/4, 0 ], [ 0, 0 
        ], [ 1/4, 0 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 0, 1/8 ], [ -1/4, 0 ], [ 0, 0 
        ], [ 0, 1/4 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 0, 
        1/8 ], [ 0, -1/8 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 
        1/2, 1/4 ], [ -1/4, -3/8 ], [ 0, 1/4 ], [ 0, -1/4 ], [ 0, 1/8 ], [ 0, 
        -1/8 ], [ 1/4, 1/8 ], [ -1/4, -1/8 ], [ 1/4, 1/4 ], [ -1/4, -1/8 ], [ 0,
        1/4 ], [ 0, -1/8 ], [ 1/4, -1/8 ], [ -1/2, 1/8 ], [ 1/2, 1/8 ], [ -1/4, 
        -1/8 ], [ 1/4, 3/8 ], [ 0, -1/4 ], [ 1/4, 1/8 ], [ 0, 0 ], [ 1/4, 0 ], [
        1/4, 1/8 ], [ -1/4, -1/4 ], [ 0, 1/8 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 0 ], 
        [ -1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/4, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8
        ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 1/8 ], [ -1/8, 1/8 ], [ -1/8, -1/8 ], [ 
        -1/8, -1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, -1/8 ], [ -1/8, -1/8 
        ], [ 1/8, 1/8 ], [ 1/4, 0 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 1/8, -1/8 ], [ 
        0, 0 ], [ -1/8, -1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, 1/8 ], [ 
        0, -1/4 ], [ -3/8, 1/8 ], [ 1/4, 0 ], [ -5/8, -1/8 ], [ 1/4, 1/4 ], [ 
        3/8, 3/8 ], [ -1/8, -3/8 ], [ 0, 1/4 ], [ 1/4, 1/4 ], [ 1/8, -1/8 ], [ 
        -1/8, 1/8 ], [ -1/8, 1/8 ], [ 1/8, -1/8 ], [ -3/8, -1/8 ], [ 1/8, 1/8 ],
        [ -3/8, -1/8 ], [ 1/4, 1/4 ], [ -1/4, -1/4 ], [ 0, 0 ], [ -1/4, -1/4 ], 
        [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 1/4 ], [ 0, -1/8 ], [ 0, 0 ], [ 0, 
        1/8 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ -1/4, -1/4 ], [ 0, 0 ], [ 1/8, 1/4 
        ], [ 1/8, 1/4 ], [ -1/8, 0 ], [ -1/8, -1/8 ], [ 1/4, 1/4 ], [ 0, 0 ], [ 
        0, 1/4 ], [ -1/8, 0 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ 0, -1/8 ], [ -1/8, 0
        ], [ 0, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -1/8, 1/8 ], [ 0, 0 ], [ 0, -1/8 
        ], [ -1/4, 0 ], [ 1/8, 1/8 ], [ -1/4, -1/8 ], [ 1/8, 1/4 ], [ 0, -1/8 ],
        [ -1/8, 1/4 ], [ 1/4, 0 ], [ 3/8, 0 ], [ -3/8, -1/8 ], [ 1/4, 1/8 ], [ 
        1/2, 1/8 ], [ -1/8, -1/4 ], [ 1/8, 1/4 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 
        1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 1/8 ], [ 1/4, 0 ], [ -1/4, 1/8 ], [ 1/4,
        0 ], [ -1/2, -1/8 ], [ 0, 1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/4, 1/8 ], [ 
        -1/8, -1/8 ], [ 1/8, 0 ], [ 1/4, 0 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 
        -3/8, -1/8 ], [ -1/8, 0 ], [ 1/4, 1/8 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 0, 0 
        ], [ 3/8, 1/8 ], [ -1/8, 0 ], [ 1/4, 1/4 ], [ 1/8, 1/4 ], [ 1/4, 1/4 ], 
        [ -1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 1/8, 0 ], [
        1/8, 1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ -1/8, 1/8 ], [ 1/8, -1/8 ], [ 
        -1/8, 1/8 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ -3/8, -3/8 ], [
        1/8, 3/8 ], [ 0, -1/4 ], [ 0, 0 ], [ 1/8, -1/8 ], [ 0, 0 ], [ -1/8, -3/8
        ], [ -1/4, 1/4 ], [ 1/2, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ -1/8, -1/8 ], [ 
        1/4, 1/4 ], [ 1/8, -1/8 ], [ -1/8, 1/8 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, 1/8
        ], [ 1/4, 0 ], [ -1/4, -1/8 ], [ 0, -1/8 ], [ 1/4, 0 ], [ 0, 1/8 ], [ 0,
        0 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 0, 1/8 ], [ 1/4, 0 ], [ -1/4, 1/8 ], [ 
        0, 0 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, -1/4 ], [ -1/4, -1/8 ], [ 0, -1/8 ], 
        [ 1/4, 1/4 ], [ 0, 1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ 1/4, 1/8 ],
        [ 0, 1/8 ], [ 1/4, 1/8 ], [ -1/4, -1/4 ], [ 0, 1/8 ], [ 1/4, 1/8 ], [ 0,
        -3/8 ], [ -1/4, 0 ], [ -1/4, -1/8 ], [ 1/4, 1/4 ], [ 0, -1/8 ], [ 1/4, 
        1/4 ], [ 0, -1/8 ], [ -1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/4, -1/8 ], [ 
        0, -1/8 ], [ -1/4, 0 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 1/8 ], [ 
        -1/4, -1/4 ], [ 0, 1/4 ], [ 0, -1/8 ], [ 0, 1/8 ], [ 0, 0 ], [ 1/8, 0 ],
        [ 0, -1/4 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 0, -1/4 ], [ 1/4, 1/8 ], [ 
        -1/8, -1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 1/4, 1/8 ], [ -1/8, -1/8 ], [ 
        0, 1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 1/8, 1/8 ], [ -1/4, 0 ], [ -1/8, 0 ], 
        [ -1/4, -1/8 ], [ 3/8, -1/8 ], [ 0, 1/8 ], [ -1/8, -1/8 ], [ -1/8, 0 ], 
        [ 0, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 1/2, 1/8 ], [ -5/8, -3/8 ], [ 1/8, 
        1/4 ], [ 1/8, 0 ], [ -3/8, -1/4 ], [ 0, 1/4 ], [ 0, 1/8 ], [ 1/4, 0 ], [
        0, -1/8 ], [ 1/8, -1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/8, -1/8 
        ], [ -1/4, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], [ 0, 0 ], [ 1/4, 0 ], [ -1/4, 
        -1/4 ], [ 1/8, 1/4 ], [ -1/4, 0 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ 0, 0 ], 
        [ 0, 0 ], [ 0, -1/8 ], [ -1/4, -1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ -1/4, 
        -1/8 ], [ 1/8, -1/8 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 0, -1/8 ], [ 1/8, 0 ],
        [ -1/8, 1/8 ], [ 1/8, -1/8 ], [ -1/8, 0 ], [ 0, -1/8 ], [ 1/4, 1/8 ], [ 
        0, 1/4 ], [ 1/8, 0 ], [ -1/8, 1/8 ], [ -1/8, -1/4 ], [ 0, 0 ], [ -1/8, 0
        ], [ 0, 1/8 ], [ -1/8, -1/8 ], [ 0, 0 ], [ -1/8, -1/8 ], [ 1/4, -1/8 ], 
        [ -1/2, 0 ], [ 1/4, 1/8 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 3/8, 1/8 ], [ 1/4, 
        1/8 ], [ -1/8, -1/8 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ 0, 0 
        ], [ 0, 0 ], [ -3/8, -1/8 ], [ 1/8, 1/4 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [
        1/8, 1/8 ], [ 1/8, -1/8 ], [ -3/8, -1/8 ], [ 1/4, 1/8 ], [ 1/4, 0 ], [ 
        -1/4, 0 ], [ 1/4, 1/8 ], [ 0, -1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, 1/8 ], [ 
        -1/4, -1/8 ], [ 0, 0 ], [ 0, 1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [
        0, 0 ], [ -1/8, -1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 0, 0 
        ], [ 1/4, 1/8 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 
        -1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ 1/4, 1/8 ], [ 1/8, 0 ], [ 
        1/2, 0 ], [ -1/4, -1/4 ], [ 1/4, 1/4 ], [ 1/8, -1/8 ], [ -1/2, 0 ], [ 
        3/8, 1/8 ], [ 1/2, 1/4 ], [ -1/8, -3/8 ], [ 0, 1/4 ], [ -1/8, 1/8 ], [ 
        5/8, 1/8 ], [ -1/4, -1/4 ], [ 1/2, 0 ], [ -5/8, -3/8 ], [ 1/8, 3/8 ], [ 
        3/8, 1/8 ], [ -5/8, -3/8 ], [ 1/8, 3/8 ], [ 3/8, 3/8 ], [ -1/8, -3/8 ], 
        [ -1/4, 1/4 ], [ 0, -1/4 ], [ -1/4, 1/4 ], [ 1/4, 0 ], [ 0, 0 ], [ 0, 0 
        ], [ 1/8, 0 ], [ 0, 1/8 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 0, 0 ], [ -3/8, 0
        ], [ 0, -1/8 ], [ 1/8, 0 ], [ 1/8, 0 ], [ -1/8, 1/8 ], [ -1/4, -1/8 ], [
        -1/8, 0 ], [ -1/8, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 1/4, 0 ], [ 1/4, 0 ],
        [ -1/8, -1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 0 
        ], [ 1/8, -1/8 ], [ 0, 0 ], [ 0, -1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 
        -1/8 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ 1/4, -1/4 ], [ -5/8, -1/4 ], [ 1/4,
        1/8 ], [ 0, 1/8 ], [ 1/4, -1/8 ], [ -1/4, -1/8 ], [ 0, -3/8 ], [ -1/2, 
        1/8 ], [ 3/8, 1/8 ], [ 0, -1/4 ], [ -3/8, 1/4 ], [ 3/8, 1/8 ], [ 5/8, 0 
        ], [ -3/8, -1/8 ], [ 3/8, 1/4 ], [ -1/4, -1/8 ], [ 3/8, 3/8 ], [ 1/8, 
        -1/8 ], [ 0, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 0, 1/8 ], [ 1/8, 0 ], [ -1/8, 
        0 ], [ 0, 0 ], [ -1/4, 1/8 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 
        1/4, 1/4 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 0, 1/8 ], [ -1/8, 0 ], [ -1/8, 0 
        ], [ 1/4, 0 ], [ -1/8, -1/8 ], [ -1/4, 0 ], [ -1/8, -1/8 ], [ 0, -1/8 ],
        [ -1/8, -1/8 ], [ -1/8, 0 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 1/8, 1/8 ], 
        [ 0, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/8, -1/8 ], [ 0, 
        1/8 ], [ -1/4, -1/4 ], [ -1/4, 1/8 ], [ 0, -1/8 ], [ 1/8, 0 ], [ -3/8, 0
        ], [ 1/4, 1/8 ], [ -1/2, -1/8 ], [ 3/8, 1/4 ], [ -1/4, -1/4 ], [ -3/8, 
        -1/8 ], [ 1/2, 3/8 ], [ 0, -1/4 ], [ -1/4, -3/8 ], [ 1/4, 1/4 ], [ 1/8, 
        -1/4 ], [ 0, 1/8 ], [ 3/8, -1/8 ], [ -1/8, -1/8 ], [ -1/4, 0 ], [ 0, 0 
        ], [ 3/8, 0 ], [ 0, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ -1/4, -1/8 ], [ 
        -1/8, -1/8 ], [ 0, 1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 1/8, 0 ], [ 
        -1/4, -1/8 ], [ 1/8, 1/8 ], [ -1/8, 0 ], [ -1/8, -1/8 ], [ -1/8, -1/8 ],
        [ 0, 0 ], [ 0, 1/8 ], [ 1/8, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 ], [ 
        3/8, 0 ], [ 1/8, 0 ], [ 1/8, 1/8 ], [ -1/4, 1/8 ], [ 1/2, 1/4 ], [ -1/8,
        -3/8 ], [ 1/8, 1/8 ], [ -1/4, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ -1/4,
        0 ], [ 1/8, 1/8 ], [ -1/4, -1/4 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ -1/4,
        -1/4 ], [ 0, 1/2 ], [ 3/8, -1/8 ], [ 0, -1/4 ], [ -1/8, 1/8 ], [ 1/8, 
        -1/8 ], [ 1/8, 1/8 ], [ -1/8, -1/8 ], [ -1/8, 1/8 ], [ 1/4, 1/4 ], [ 
        -1/8, -3/8 ], [ -3/8, 1/8 ], [ 0, 0 ], [ 0, 0 ], [ 0, -1/8 ], [ 0, 0 ], 
        [ 0, 0 ], [ 0, 1/8 ], [ -1/4, 0 ], [ -1/8, 0 ], [ 1/8, 0 ], [ 0, 0 ], [ 
        0, 1/8 ], [ 1/8, -1/8 ], [ -1/8, 1/8 ], [ 1/8, 0 ], [ -1/8, 0 ], [ 0, 0 
        ], [ -1/4, 0 ], [ 0, 0 ], [ 1/8, 1/8 ], [ -1/8, -1/4 ], [ 1/8, 0 ], [ 
        -1/4, 0 ], [ -1/8, 0 ], [ 0, -1/8 ], [ -1/8, -1/8 ], [ 1/4, 0 ], [ 1/8, 
        1/4 ], [ 1/2, -1/4 ], [ -3/4, -1/8 ], [ 1/2, 1/4 ], [ 1/8, 1/8 ], [ 0, 
        -1/8 ], [ -1/8, 0 ], [ 0, 1/8 ], [ 1/8, 0 ], [ -1/4, 0 ], [ -1/8, 0 ], [
        1/8, -1/8 ], [ -1/4, -1/8 ], [ -1/2, -1/8 ], [ 7/8, 1/2 ], [ -1/8, -1/2 
        ], [ -3/8, -1/4 ], [ 1/8, 1/4 ], [ -1/8, -1/8 ], [ -1/8, 0 ], [ 1/8, 1/8
        ], [ 0, 0 ], [ 1/4, -1/8 ], [ -1/2, 0 ], [ 1/4, 1/8 ], [ 0, -1/8 ], [ 0,
        0 ], [ -1/8, 0 ], [ 0, 0 ], [ 1/8, 0 ], [ 1/8, 1/4 ], [ 0, 0 ], [ 1/4, 
        1/8 ], [ -1/8, -1/8 ], [ 1/8, 0 ], [ 1/8, 1/4 ], [ 0, -1/8 ], [ 1/8, 1/8
        ], [ 0, -1/8 ], [ 0, 0 ], [ 1/8, 0 ], [ 1/8, 1/8 ], [ 0, 0 ], [ 1/8, 0 
        ], [ -1/4, -1/8 ], [ -1/8, -1/8 ], [ 0, 1/8 ], [ -1/8, 1/8 ], [ -1/8, 0 
        ], [ -1/4, 0 ], [ 1/8, 0 ], [ 1/8, 0 ], [ -1/4, -3/8 ], [ -1/8, 3/8 ], [
        3/8, 0 ], [ 1/8, 0 ], [ -1/8, -1/4 ], [ -1/4, 0 ], [ 1/4, 1/8 ], [ 0, 
        -1/4 ], [ 0, 1/8 ], [ 1/8, 1/8 ], [ -1/8, -1/4 ], [ -1/4, 0 ], [ 0, 1/4 
        ], [ 3/8, -3/8 ], [ -1/2, -1/8 ], [ -3/8, 0 ], [ 1/4, 1/4 ], [ 0, 0 ], [
        -1/4, 0 ], [ 1/2, 1/4 ], [ -1/8, -1/4 ], [ -1/4, -1/4 ], [ 1/8, 3/8 ], [
        1/8, -1/4 ] ])
]: Check := false) where w := K.1 where K := ext<K|Polynomial(K, [2, 1, 1])> where K is 
RationalField();
K<w>:=BaseRing(M);
K;
M;
