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Modulus Conductor Order Induced by
Parity Primitive Minimal Real
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Orbit label Conrey labels Modulus Conductor Order Value field Parity Real Primitive Minimal
11.d

\(\chi_{11}(2, \cdot)\)$, \cdots ,$\(\chi_{11}(8, \cdot)\)

$11$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
22.d

\(\chi_{22}(7, \cdot)\)$, \cdots ,$\(\chi_{22}(19, \cdot)\)

$22$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
25.e

\(\chi_{25}(4, \cdot)\)$, \cdots ,$\(\chi_{25}(19, \cdot)\)

$25$ $25$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
31.f

\(\chi_{31}(15, \cdot)\)$, \cdots ,$\(\chi_{31}(29, \cdot)\)

$31$ $31$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
33.f

\(\chi_{33}(2, \cdot)\)$, \cdots ,$\(\chi_{33}(29, \cdot)\)

$33$ $33$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
33.g

\(\chi_{33}(7, \cdot)\)$, \cdots ,$\(\chi_{33}(28, \cdot)\)

$33$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
33.h

\(\chi_{33}(5, \cdot)\)$, \cdots ,$\(\chi_{33}(26, \cdot)\)

$33$ $33$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
41.f

\(\chi_{41}(4, \cdot)\)$, \cdots ,$\(\chi_{41}(31, \cdot)\)

$41$ $41$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
44.f

\(\chi_{44}(13, \cdot)\)$, \cdots ,$\(\chi_{44}(41, \cdot)\)

$44$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
44.g

\(\chi_{44}(7, \cdot)\)$, \cdots ,$\(\chi_{44}(39, \cdot)\)

$44$ $44$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
44.h

\(\chi_{44}(3, \cdot)\)$, \cdots ,$\(\chi_{44}(31, \cdot)\)

$44$ $44$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
50.e

\(\chi_{50}(9, \cdot)\)$, \cdots ,$\(\chi_{50}(39, \cdot)\)

$50$ $25$ $10$ \(\Q(\zeta_{5})\) even ✓
55.h

\(\chi_{55}(19, \cdot)\)$, \cdots ,$\(\chi_{55}(39, \cdot)\)

$55$ $55$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
55.i

\(\chi_{55}(6, \cdot)\)$, \cdots ,$\(\chi_{55}(51, \cdot)\)

$55$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
55.j

\(\chi_{55}(4, \cdot)\)$, \cdots ,$\(\chi_{55}(49, \cdot)\)

$55$ $55$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
61.g

\(\chi_{61}(3, \cdot)\)$, \cdots ,$\(\chi_{61}(52, \cdot)\)

$61$ $61$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
62.f

\(\chi_{62}(15, \cdot)\)$, \cdots ,$\(\chi_{62}(29, \cdot)\)

$62$ $31$ $10$ \(\Q(\zeta_{5})\) odd ✓
66.f

\(\chi_{66}(7, \cdot)\)$, \cdots ,$\(\chi_{66}(61, \cdot)\)

$66$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
66.g

\(\chi_{66}(5, \cdot)\)$, \cdots ,$\(\chi_{66}(59, \cdot)\)

$66$ $33$ $10$ \(\Q(\zeta_{5})\) odd ✓
66.h

\(\chi_{66}(17, \cdot)\)$, \cdots ,$\(\chi_{66}(41, \cdot)\)

$66$ $33$ $10$ \(\Q(\zeta_{5})\) even ✓
71.e

\(\chi_{71}(14, \cdot)\)$, \cdots ,$\(\chi_{71}(66, \cdot)\)

$71$ $71$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
75.h

\(\chi_{75}(14, \cdot)\)$, \cdots ,$\(\chi_{75}(59, \cdot)\)

$75$ $75$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
75.i

\(\chi_{75}(4, \cdot)\)$, \cdots ,$\(\chi_{75}(64, \cdot)\)

$75$ $25$ $10$ \(\Q(\zeta_{5})\) even ✓
75.j

\(\chi_{75}(11, \cdot)\)$, \cdots ,$\(\chi_{75}(71, \cdot)\)

$75$ $75$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
77.j

\(\chi_{77}(20, \cdot)\)$, \cdots ,$\(\chi_{77}(69, \cdot)\)

$77$ $77$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
77.k

\(\chi_{77}(8, \cdot)\)$, \cdots ,$\(\chi_{77}(57, \cdot)\)

$77$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
77.l

\(\chi_{77}(6, \cdot)\)$, \cdots ,$\(\chi_{77}(62, \cdot)\)

$77$ $77$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
82.f

\(\chi_{82}(23, \cdot)\)$, \cdots ,$\(\chi_{82}(45, \cdot)\)

$82$ $41$ $10$ \(\Q(\zeta_{5})\) even ✓
88.j

\(\chi_{88}(17, \cdot)\)$, \cdots ,$\(\chi_{88}(73, \cdot)\)

$88$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
88.k

\(\chi_{88}(19, \cdot)\)$, \cdots ,$\(\chi_{88}(83, \cdot)\)

$88$ $88$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
88.l

\(\chi_{88}(3, \cdot)\)$, \cdots ,$\(\chi_{88}(75, \cdot)\)

$88$ $88$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
88.m

\(\chi_{88}(7, \cdot)\)$, \cdots ,$\(\chi_{88}(79, \cdot)\)

$88$ $44$ $10$ \(\Q(\zeta_{5})\) even
88.n

\(\chi_{88}(15, \cdot)\)$, \cdots ,$\(\chi_{88}(71, \cdot)\)

$88$ $44$ $10$ \(\Q(\zeta_{5})\) odd
88.o

\(\chi_{88}(5, \cdot)\)$, \cdots ,$\(\chi_{88}(69, \cdot)\)

$88$ $88$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
88.p

\(\chi_{88}(13, \cdot)\)$, \cdots ,$\(\chi_{88}(85, \cdot)\)

$88$ $88$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
93.j

\(\chi_{93}(46, \cdot)\)$, \cdots ,$\(\chi_{93}(91, \cdot)\)

$93$ $31$ $10$ \(\Q(\zeta_{5})\) odd ✓
93.k

\(\chi_{93}(23, \cdot)\)$, \cdots ,$\(\chi_{93}(89, \cdot)\)

$93$ $93$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
93.l

\(\chi_{93}(2, \cdot)\)$, \cdots ,$\(\chi_{93}(47, \cdot)\)

$93$ $93$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
99.j

\(\chi_{99}(8, \cdot)\)$, \cdots ,$\(\chi_{99}(62, \cdot)\)

$99$ $33$ $10$ \(\Q(\zeta_{5})\) even ✓
99.k

\(\chi_{99}(19, \cdot)\)$, \cdots ,$\(\chi_{99}(73, \cdot)\)

$99$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
99.l

\(\chi_{99}(26, \cdot)\)$, \cdots ,$\(\chi_{99}(80, \cdot)\)

$99$ $33$ $10$ \(\Q(\zeta_{5})\) odd ✓
100.h

\(\chi_{100}(19, \cdot)\)$, \cdots ,$\(\chi_{100}(79, \cdot)\)

$100$ $100$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
100.i

\(\chi_{100}(9, \cdot)\)$, \cdots ,$\(\chi_{100}(89, \cdot)\)

$100$ $25$ $10$ \(\Q(\zeta_{5})\) even ✓
100.j

\(\chi_{100}(11, \cdot)\)$, \cdots ,$\(\chi_{100}(91, \cdot)\)

$100$ $100$ $10$ \(\Q(\zeta_{5})\) odd ✓ ✓
101.e

\(\chi_{101}(6, \cdot)\)$, \cdots ,$\(\chi_{101}(65, \cdot)\)

$101$ $101$ $10$ \(\Q(\zeta_{5})\) even ✓ ✓
110.h

\(\chi_{110}(41, \cdot)\)$, \cdots ,$\(\chi_{110}(101, \cdot)\)

$110$ $11$ $10$ \(\Q(\zeta_{5})\) odd ✓
110.i

\(\chi_{110}(19, \cdot)\)$, \cdots ,$\(\chi_{110}(79, \cdot)\)

$110$ $55$ $10$ \(\Q(\zeta_{5})\) odd ✓
110.j

\(\chi_{110}(9, \cdot)\)$, \cdots ,$\(\chi_{110}(69, \cdot)\)

$110$ $55$ $10$ \(\Q(\zeta_{5})\) even ✓
121.d

\(\chi_{121}(40, \cdot)\)$, \cdots ,$\(\chi_{121}(118, \cdot)\)

$121$ $11$ $10$ \(\Q(\zeta_{5})\) odd
122.g

\(\chi_{122}(3, \cdot)\)$, \cdots ,$\(\chi_{122}(113, \cdot)\)

$122$ $61$ $10$ \(\Q(\zeta_{5})\) even ✓
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