$\mathbb{Z}_7\times\mathbb{Z}_{7w}$, with $w\equiv1\bmod 6$

In [1]:
from localFuncs import *

$\mathbb{Z}_7\times\mathbb{Z}_7$

In [2]:
mu21((7,7))/7
Out[2]:
2.0
In [3]:
look(7,(3,2,2,2,2,2,2),  diff=2, verbose=True, enforceSameStart=True, number=-1)

( 98 ) ----------------------------------------------------------------------*******
         a=6, b=6, c=6, d=6, e=6, f=6, g=6        |A|=15

 A0={1, 3, 6},
 A1={1, 6},
 A2={1, 6},
 A3={1, 6},
 A4={1, 6},
 A5={1, 6},
 A6={1, 6}

A = { (0,1), (0,3), (0,6), (1,1), (1,6), (2,1), (2,6), (3,1), (3,6), (4,1), (4,6), (5,1), (5,6), (6,1), (6,6) }

$\mathbb{Z}_7\times\mathbb{Z}_{7\times 7}$

In [4]:
mu21((7,49))/7
Out[4]:
16.0
In [6]:
look(49,(17,16,16,16,16,16,16), diff=2, verbose=True, enforceSameStart=True, number=-1)

( 79 ) ----------------------------------------------------------------------*******
         a=34, b=34, c=34, d=34, e=34, f=34, g=34        |A|=113

 A0={1, 34, 3, 36, 5, 38, 7, 40, 9, 42, 11, 44, 13, 46, 15, 48, 17},
 A1={1, 34, 3, 36, 5, 38, 7, 40, 9, 42, 11, 44, 13, 46, 15, 48},
 A2={1, 34, 3, 36, 5, 38, 7, 40, 9, 42, 11, 44, 13, 46, 15, 48},
 A3={1, 34, 3, 36, 5, 38, 7, 40, 9, 42, 11, 44, 13, 46, 15, 48},
 A4={1, 34, 3, 36, 5, 38, 7, 40, 9, 42, 11, 44, 13, 46, 15, 48},
 A5={1, 34, 3, 36, 5, 38, 7, 40, 9, 42, 11, 44, 13, 46, 15, 48},
 A6={1, 34, 3, 36, 5, 38, 7, 40, 9, 42, 11, 44, 13, 46, 15, 48}

A = { (0,1), (0,34), (0,3), (0,36), (0,5), (0,38), (0,7), (0,40), (0,9), (0,42), (0,11), (0,44), (0,13), (0,46), (0,15), (0,48), (0,17), (1,1), (1,34), (1,3), (1,36), (1,5), (1,38), (1,7), (1,40), (1,9), (1,42), (1,11), (1,44), (1,13), (1,46), (1,15), (1,48), (2,1), (2,34), (2,3), (2,36), (2,5), (2,38), (2,7), (2,40), (2,9), (2,42), (2,11), (2,44), (2,13), (2,46), (2,15), (2,48), (3,1), (3,34), (3,3), (3,36), (3,5), (3,38), (3,7), (3,40), (3,9), (3,42), (3,11), (3,44), (3,13), (3,46), (3,15), (3,48), (4,1), (4,34), (4,3), (4,36), (4,5), (4,38), (4,7), (4,40), (4,9), (4,42), (4,11), (4,44), (4,13), (4,46), (4,15), (4,48), (5,1), (5,34), (5,3), (5,36), (5,5), (5,38), (5,7), (5,40), (5,9), (5,42), (5,11), (5,44), (5,13), (5,46), (5,15), (5,48), (6,1), (6,34), (6,3), (6,36), (6,5), (6,38), (6,7), (6,40), (6,9), (6,42), (6,11), (6,44), (6,13), (6,46), (6,15), (6,48) }

$\mathbb{Z}_7\times\mathbb{Z}_{7\times13}$

In [22]:
mu21((7,91))/7
Out[22]:
30.0
In [7]:
look(91,(31,30,30,30,30,30,30), diff=2, verbose=True, enforceSameStart=True, number=-1)

( 78 ) ----------------------------------------------------------------------*******
         a=62, b=62, c=62, d=62, e=62, f=62, g=62        |A|=211

 A0={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90},
 A1={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90},
 A2={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90},
 A3={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90},
 A4={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90},
 A5={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90},
 A6={1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90}

A = { (0,1), (0,3), (0,5), (0,7), (0,9), (0,11), (0,13), (0,15), (0,17), (0,19), (0,21), (0,23), (0,25), (0,27), (0,29), (0,31), (0,62), (0,64), (0,66), (0,68), (0,70), (0,72), (0,74), (0,76), (0,78), (0,80), (0,82), (0,84), (0,86), (0,88), (0,90), (1,1), (1,3), (1,5), (1,7), (1,9), (1,11), (1,13), (1,15), (1,17), (1,19), (1,21), (1,23), (1,25), (1,27), (1,29), (1,62), (1,64), (1,66), (1,68), (1,70), (1,72), (1,74), (1,76), (1,78), (1,80), (1,82), (1,84), (1,86), (1,88), (1,90), (2,1), (2,3), (2,5), (2,7), (2,9), (2,11), (2,13), (2,15), (2,17), (2,19), (2,21), (2,23), (2,25), (2,27), (2,29), (2,62), (2,64), (2,66), (2,68), (2,70), (2,72), (2,74), (2,76), (2,78), (2,80), (2,82), (2,84), (2,86), (2,88), (2,90), (3,1), (3,3), (3,5), (3,7), (3,9), (3,11), (3,13), (3,15), (3,17), (3,19), (3,21), (3,23), (3,25), (3,27), (3,29), (3,62), (3,64), (3,66), (3,68), (3,70), (3,72), (3,74), (3,76), (3,78), (3,80), (3,82), (3,84), (3,86), (3,88), (3,90), (4,1), (4,3), (4,5), (4,7), (4,9), (4,11), (4,13), (4,15), (4,17), (4,19), (4,21), (4,23), (4,25), (4,27), (4,29), (4,62), (4,64), (4,66), (4,68), (4,70), (4,72), (4,74), (4,76), (4,78), (4,80), (4,82), (4,84), (4,86), (4,88), (4,90), (5,1), (5,3), (5,5), (5,7), (5,9), (5,11), (5,13), (5,15), (5,17), (5,19), (5,21), (5,23), (5,25), (5,27), (5,29), (5,62), (5,64), (5,66), (5,68), (5,70), (5,72), (5,74), (5,76), (5,78), (5,80), (5,82), (5,84), (5,86), (5,88), (5,90), (6,1), (6,3), (6,5), (6,7), (6,9), (6,11), (6,13), (6,15), (6,17), (6,19), (6,21), (6,23), (6,25), (6,27), (6,29), (6,62), (6,64), (6,66), (6,68), (6,70), (6,72), (6,74), (6,76), (6,78), (6,80), (6,82), (6,84), (6,86), (6,88), (6,90) }

$\mathbb{Z}_7\times\mathbb{Z}_{7\times19}$

In [20]:
mu21((7,133))/7
Out[20]:
44.0
In [ ]:
look(133,(45,44,44,44,44,44,44),  diff=2, verbose=True, enforceSameStart=True, number=-1)
In [ ]: