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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
100.h

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

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

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

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

\(\chi_{100}(3, \cdot)\)$, \cdots ,$\(\chi_{100}(87, \cdot)\)

$100$ $100$ $20$ \(\Q(\zeta_{20})\) even ✓ ✓
101.b

\(\chi_{101}(100, \cdot)\)

$101$ $101$ $2$ \(\Q\) even ✓ ✓ ✓
101.c

\(\chi_{101}(10, \cdot)\)$,$ \(\chi_{101}(91, \cdot)\)

$101$ $101$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
101.d

\(\chi_{101}(36, \cdot)\)$, \cdots ,$\(\chi_{101}(95, \cdot)\)

$101$ $101$ $5$ \(\Q(\zeta_{5})\) even ✓ ✓
101.e

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

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

\(\chi_{101}(32, \cdot)\)$, \cdots ,$\(\chi_{101}(69, \cdot)\)

$101$ $101$ $20$ \(\Q(\zeta_{20})\) odd ✓ ✓
101.g

\(\chi_{101}(5, \cdot)\)$, \cdots ,$\(\chi_{101}(97, \cdot)\)

$101$ $101$ $25$ \(\Q(\zeta_{25})\) even ✓ ✓
101.h

\(\chi_{101}(4, \cdot)\)$, \cdots ,$\(\chi_{101}(96, \cdot)\)

$101$ $101$ $50$ \(\Q(\zeta_{25})\) even ✓ ✓
101.i

\(\chi_{101}(2, \cdot)\)$, \cdots ,$\(\chi_{101}(99, \cdot)\)

$101$ $101$ $100$ $\Q(\zeta_{100})$ odd ✓ ✓
103.b

\(\chi_{103}(102, \cdot)\)

$103$ $103$ $2$ \(\Q\) odd ✓ ✓ ✓
103.c

\(\chi_{103}(46, \cdot)\)$,$ \(\chi_{103}(56, \cdot)\)

$103$ $103$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
103.d

\(\chi_{103}(47, \cdot)\)$,$ \(\chi_{103}(57, \cdot)\)

$103$ $103$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
103.e

\(\chi_{103}(8, \cdot)\)$, \cdots ,$\(\chi_{103}(100, \cdot)\)

$103$ $103$ $17$ \(\Q(\zeta_{17})\) even ✓ ✓
103.f

\(\chi_{103}(3, \cdot)\)$, \cdots ,$\(\chi_{103}(95, \cdot)\)

$103$ $103$ $34$ \(\Q(\zeta_{17})\) odd ✓ ✓
103.g

\(\chi_{103}(2, \cdot)\)$, \cdots ,$\(\chi_{103}(98, \cdot)\)

$103$ $103$ $51$ $\Q(\zeta_{51})$ even ✓ ✓
103.h

\(\chi_{103}(5, \cdot)\)$, \cdots ,$\(\chi_{103}(101, \cdot)\)

$103$ $103$ $102$ $\Q(\zeta_{51})$ odd ✓ ✓
104.e

\(\chi_{104}(77, \cdot)\)

$104$ $104$ $2$ \(\Q\) even ✓ ✓ ✓
104.h

\(\chi_{104}(51, \cdot)\)

$104$ $104$ $2$ \(\Q\) odd ✓ ✓ ✓
104.j

\(\chi_{104}(5, \cdot)\)$,$ \(\chi_{104}(21, \cdot)\)

$104$ $104$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
104.m

\(\chi_{104}(83, \cdot)\)$,$ \(\chi_{104}(99, \cdot)\)

$104$ $104$ $4$ \(\mathbb{Q}(i)\) even ✓ ✓
104.n

\(\chi_{104}(3, \cdot)\)$,$ \(\chi_{104}(35, \cdot)\)

$104$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
104.p

\(\chi_{104}(43, \cdot)\)$,$ \(\chi_{104}(75, \cdot)\)

$104$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
104.r

\(\chi_{104}(29, \cdot)\)$,$ \(\chi_{104}(61, \cdot)\)

$104$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
104.s

\(\chi_{104}(69, \cdot)\)$,$ \(\chi_{104}(101, \cdot)\)

$104$ $104$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
104.u

\(\chi_{104}(11, \cdot)\)$, \cdots ,$\(\chi_{104}(67, \cdot)\)

$104$ $104$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
104.x

\(\chi_{104}(37, \cdot)\)$, \cdots ,$\(\chi_{104}(93, \cdot)\)

$104$ $104$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
105.g

\(\chi_{105}(104, \cdot)\)

$105$ $105$ $2$ \(\Q\) even ✓ ✓ ✓
105.k

\(\chi_{105}(62, \cdot)\)$,$ \(\chi_{105}(83, \cdot)\)

$105$ $105$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
105.o

\(\chi_{105}(44, \cdot)\)$,$ \(\chi_{105}(74, \cdot)\)

$105$ $105$ $6$ \(\mathbb{Q}(\zeta_3)\) odd ✓ ✓
105.p

\(\chi_{105}(59, \cdot)\)$,$ \(\chi_{105}(89, \cdot)\)

$105$ $105$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
105.w

\(\chi_{105}(17, \cdot)\)$, \cdots ,$\(\chi_{105}(68, \cdot)\)

$105$ $105$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
105.x

\(\chi_{105}(2, \cdot)\)$, \cdots ,$\(\chi_{105}(53, \cdot)\)

$105$ $105$ $12$ \(\Q(\zeta_{12})\) even ✓ ✓
107.b

\(\chi_{107}(106, \cdot)\)

$107$ $107$ $2$ \(\Q\) odd ✓ ✓ ✓
107.c

\(\chi_{107}(3, \cdot)\)$, \cdots ,$\(\chi_{107}(105, \cdot)\)

$107$ $107$ $53$ $\Q(\zeta_{53})$ even ✓ ✓
107.d

\(\chi_{107}(2, \cdot)\)$, \cdots ,$\(\chi_{107}(104, \cdot)\)

$107$ $107$ $106$ $\Q(\zeta_{53})$ odd ✓ ✓
108.j

\(\chi_{108}(7, \cdot)\)$, \cdots ,$\(\chi_{108}(103, \cdot)\)

$108$ $108$ $18$ \(\Q(\zeta_{9})\) odd ✓ ✓
108.l

\(\chi_{108}(11, \cdot)\)$, \cdots ,$\(\chi_{108}(95, \cdot)\)

$108$ $108$ $18$ \(\Q(\zeta_{9})\) even ✓ ✓
109.b

\(\chi_{109}(108, \cdot)\)

$109$ $109$ $2$ \(\Q\) even ✓ ✓ ✓
109.c

\(\chi_{109}(45, \cdot)\)$,$ \(\chi_{109}(63, \cdot)\)

$109$ $109$ $3$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
109.d

\(\chi_{109}(33, \cdot)\)$,$ \(\chi_{109}(76, \cdot)\)

$109$ $109$ $4$ \(\mathbb{Q}(i)\) odd ✓ ✓
109.e

\(\chi_{109}(46, \cdot)\)$,$ \(\chi_{109}(64, \cdot)\)

$109$ $109$ $6$ \(\mathbb{Q}(\zeta_3)\) even ✓ ✓
109.f

\(\chi_{109}(16, \cdot)\)$, \cdots ,$\(\chi_{109}(105, \cdot)\)

$109$ $109$ $9$ \(\Q(\zeta_{9})\) even ✓ ✓
109.g

\(\chi_{109}(8, \cdot)\)$, \cdots ,$\(\chi_{109}(101, \cdot)\)

$109$ $109$ $12$ \(\Q(\zeta_{12})\) odd ✓ ✓
109.h

\(\chi_{109}(4, \cdot)\)$, \cdots ,$\(\chi_{109}(93, \cdot)\)

$109$ $109$ $18$ \(\Q(\zeta_{9})\) even ✓ ✓
109.i

\(\chi_{109}(3, \cdot)\)$, \cdots ,$\(\chi_{109}(97, \cdot)\)

$109$ $109$ $27$ \(\Q(\zeta_{27})\) even ✓ ✓
109.j

\(\chi_{109}(2, \cdot)\)$, \cdots ,$\(\chi_{109}(107, \cdot)\)

$109$ $109$ $36$ \(\Q(\zeta_{36})\) odd ✓ ✓
109.k

\(\chi_{109}(12, \cdot)\)$, \cdots ,$\(\chi_{109}(106, \cdot)\)

$109$ $109$ $54$ \(\Q(\zeta_{27})\) even ✓ ✓
109.l

\(\chi_{109}(6, \cdot)\)$, \cdots ,$\(\chi_{109}(103, \cdot)\)

$109$ $109$ $108$ $\Q(\zeta_{108})$ odd ✓ ✓
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