LMFDB - Embedded newform 210.2.t.d.59.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [210,2,Mod(59,210)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(210, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("210.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 210 = 2 \cdot 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	210.t (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.67685844245$
Analytic rank:	$0$
Dimension:	$4$
Relative dimension:	$2$ over $\Q(\zeta_{6})$
Coefficient field:	$\Q(\sqrt{-3}, \sqrt{-11})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{4} - x^{3} - 2x^{2} - 3x + 9 $ x^4 - x^3 - 2x^2 - 3x + 9
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			59.2
Root			$-1.18614 - 1.26217i$ of defining polynomial
Character	$\chi$	$=$	210.59
Dual form			210.2.t.d.89.1

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.500000 + 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.18614 - 0.469882i) q^{5} +(-1.18614 + 1.26217i) q^{6} +(2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +O(q^{10})$	\(q+(0.500000 + 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.18614 - 0.469882i) q^{5} +(-1.18614 + 1.26217i) q^{6} +(2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +(1.50000 + 1.65831i) q^{10} +(-3.68614 - 2.12819i) q^{11} +(-1.68614 - 0.396143i) q^{12} +2.00000 q^{13} +(2.00000 + 1.73205i) q^{14} +(1.87228 + 3.39036i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-5.74456 - 3.31662i) q^{17} +(-2.68614 - 1.33591i) q^{18} +(-3.00000 + 1.73205i) q^{19} +(-0.686141 + 2.12819i) q^{20} +(2.68614 + 3.71277i) q^{21} -4.25639i q^{22} +(2.18614 + 3.78651i) q^{23} +(-0.500000 - 1.65831i) q^{24} +(4.55842 - 2.05446i) q^{25} +(1.00000 + 1.73205i) q^{26} +(-4.00000 - 3.31662i) q^{27} +(-0.500000 + 2.59808i) q^{28} -3.31662i q^{29} +(-2.00000 + 3.31662i) q^{30} +(-2.05842 - 1.18843i) q^{31} +(0.500000 - 0.866025i) q^{32} +(1.68614 - 7.17687i) q^{33} -6.63325i q^{34} +(5.05842 - 3.06796i) q^{35} +(-0.186141 - 2.99422i) q^{36} +(10.1168 - 5.84096i) q^{37} +(-3.00000 - 1.73205i) q^{38} +(1.00000 + 3.31662i) q^{39} +(-2.18614 + 0.469882i) q^{40} -1.62772 q^{41} +(-1.87228 + 4.18265i) q^{42} +11.0371i q^{43} +(3.68614 - 2.12819i) q^{44} +(-4.68614 + 4.80001i) q^{45} +(-2.18614 + 3.78651i) q^{46} +(1.62772 - 0.939764i) q^{47} +(1.18614 - 1.26217i) q^{48} +(5.50000 - 4.33013i) q^{49} +(4.05842 + 2.92048i) q^{50} +(2.62772 - 11.1846i) q^{51} +(-1.00000 + 1.73205i) q^{52} +(0.686141 - 1.18843i) q^{53} +(0.872281 - 5.12241i) q^{54} +(-9.05842 - 2.92048i) q^{55} +(-2.50000 + 0.866025i) q^{56} +(-4.37228 - 4.10891i) q^{57} +(2.87228 - 1.65831i) q^{58} +(-2.05842 + 3.56529i) q^{59} +(-3.87228 - 0.0737384i) q^{60} +(-2.44158 + 1.40965i) q^{61} -2.37686i q^{62} +(-4.81386 + 6.31084i) q^{63} +1.00000 q^{64} +(4.37228 - 0.939764i) q^{65} +(7.05842 - 2.12819i) q^{66} +(-6.55842 - 3.78651i) q^{67} +(5.74456 - 3.31662i) q^{68} +(-5.18614 + 5.51856i) q^{69} +(5.18614 + 2.84674i) q^{70} +1.87953i q^{71} +(2.50000 - 1.65831i) q^{72} +(-1.00000 + 1.73205i) q^{73} +(10.1168 + 5.84096i) q^{74} +(5.68614 + 6.53206i) q^{75} -3.46410i q^{76} +(-11.0584 - 2.12819i) q^{77} +(-2.37228 + 2.52434i) q^{78} +(4.05842 + 7.02939i) q^{79} +(-1.50000 - 1.65831i) q^{80} +(3.50000 - 8.29156i) q^{81} +(-0.813859 - 1.40965i) q^{82} +1.43710i q^{83} +(-4.55842 + 0.469882i) q^{84} +(-14.1168 - 4.55134i) q^{85} +(-9.55842 + 5.51856i) q^{86} +(5.50000 - 1.65831i) q^{87} +(3.68614 + 2.12819i) q^{88} +(-2.18614 - 3.78651i) q^{89} +(-6.50000 - 1.65831i) q^{90} +(5.00000 - 1.73205i) q^{91} -4.37228 q^{92} +(0.941578 - 4.00772i) q^{93} +(1.62772 + 0.939764i) q^{94} +(-5.74456 + 5.19615i) q^{95} +(1.68614 + 0.396143i) q^{96} -2.11684 q^{97} +(6.50000 + 2.59808i) q^{98} +(12.7446 - 0.792287i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9}+O(q^{10}) $ 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9	$ 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9} + 6 q^{10} - 9 q^{11} - q^{12} + 8 q^{13} + 8 q^{14} - 4 q^{15} - 2 q^{16} - 5 q^{18} - 12 q^{19} + 3 q^{20} + 5 q^{21} + 3 q^{23} - 2 q^{24} + q^{25} + 4 q^{26} - 16 q^{27} - 2 q^{28} - 8 q^{30} + 9 q^{31} + 2 q^{32} + q^{33} + 3 q^{35} + 5 q^{36} + 6 q^{37} - 12 q^{38} + 4 q^{39} - 3 q^{40} - 18 q^{41} + 4 q^{42} + 9 q^{44} - 13 q^{45} - 3 q^{46} + 18 q^{47} - q^{48} + 22 q^{49} - q^{50} + 22 q^{51} - 4 q^{52} - 3 q^{53} - 8 q^{54} - 19 q^{55} - 10 q^{56} - 6 q^{57} + 9 q^{59} - 4 q^{60} - 27 q^{61} - 25 q^{63} + 4 q^{64} + 6 q^{65} + 11 q^{66} - 9 q^{67} - 15 q^{69} + 15 q^{70} + 10 q^{72} - 4 q^{73} + 6 q^{74} + 17 q^{75} - 27 q^{77} + 2 q^{78} - q^{79} - 6 q^{80} + 14 q^{81} - 9 q^{82} - q^{84} - 22 q^{85} - 21 q^{86} + 22 q^{87} + 9 q^{88} - 3 q^{89} - 26 q^{90} + 20 q^{91} - 6 q^{92} + 21 q^{93} + 18 q^{94} + q^{96} + 26 q^{97} + 26 q^{98} + 28 q^{99}+O(q^{100}) $ 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9 + 6 * q^10 - 9 * q^11 - q^12 + 8 * q^13 + 8 * q^14 - 4 * q^15 - 2 * q^16 - 5 * q^18 - 12 * q^19 + 3 * q^20 + 5 * q^21 + 3 * q^23 - 2 * q^24 + q^25 + 4 * q^26 - 16 * q^27 - 2 * q^28 - 8 * q^30 + 9 * q^31 + 2 * q^32 + q^33 + 3 * q^35 + 5 * q^36 + 6 * q^37 - 12 * q^38 + 4 * q^39 - 3 * q^40 - 18 * q^41 + 4 * q^42 + 9 * q^44 - 13 * q^45 - 3 * q^46 + 18 * q^47 - q^48 + 22 * q^49 - q^50 + 22 * q^51 - 4 * q^52 - 3 * q^53 - 8 * q^54 - 19 * q^55 - 10 * q^56 - 6 * q^57 + 9 * q^59 - 4 * q^60 - 27 * q^61 - 25 * q^63 + 4 * q^64 + 6 * q^65 + 11 * q^66 - 9 * q^67 - 15 * q^69 + 15 * q^70 + 10 * q^72 - 4 * q^73 + 6 * q^74 + 17 * q^75 - 27 * q^77 + 2 * q^78 - q^79 - 6 * q^80 + 14 * q^81 - 9 * q^82 - q^84 - 22 * q^85 - 21 * q^86 + 22 * q^87 + 9 * q^88 - 3 * q^89 - 26 * q^90 + 20 * q^91 - 6 * q^92 + 21 * q^93 + 18 * q^94 + q^96 + 26 * q^97 + 26 * q^98 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/210\mathbb{Z}\right)^\times$.

$n$	$31$	$71$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$2$	0.500000	+	0.866025i	0.353553	+	0.612372i
$3$	0.500000	+	1.65831i	0.288675	+	0.957427i
$3$	0.500000	+	1.65831i	0.288675	+	0.957427i
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	2.18614	−	0.469882i	0.977672	−	0.210138i
$5$	2.18614	−	0.469882i	0.977672	−	0.210138i
$6$	−1.18614	+	1.26217i	−0.484240	+	0.515278i
$7$	2.50000	−	0.866025i	0.944911	−	0.327327i
$7$	2.50000	−	0.866025i	0.944911	−	0.327327i
$8$	−1.00000			−0.353553
$9$	−2.50000	+	1.65831i	−0.833333	+	0.552771i
$10$	1.50000	+	1.65831i	0.474342	+	0.524404i
$11$	−3.68614	−	2.12819i	−1.11141	−	0.641675i	−0.172218	−	0.985059i	$-0.555093\pi$
$11$	−3.68614	−	2.12819i	−1.11141	−	0.641675i	−0.939195	+	0.343384i	$0.888427\pi$
$12$	−1.68614	−	0.396143i	−0.486747	−	0.114357i
$13$	2.00000			0.554700			0.277350	−	0.960769i	$-0.410544\pi$
$13$	2.00000			0.554700			0.277350	+	0.960769i	$0.410544\pi$
$14$	2.00000	+	1.73205i	0.534522	+	0.462910i
$15$	1.87228	+	3.39036i	0.483421	+	0.875388i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−5.74456	−	3.31662i	−1.39326	−	0.804400i	−0.399586	−	0.916696i	$-0.630846\pi$
$17$	−5.74456	−	3.31662i	−1.39326	−	0.804400i	−0.993675	+	0.112296i	$0.964180\pi$
$18$	−2.68614	−	1.33591i	−0.633129	−	0.314876i
$19$	−3.00000	+	1.73205i	−0.688247	+	0.397360i	−0.802955	−	0.596040i	$-0.796740\pi$
$19$	−3.00000	+	1.73205i	−0.688247	+	0.397360i	0.114708	+	0.993399i	$0.463407\pi$
$20$	−0.686141	+	2.12819i	−0.153426	+	0.475879i
$21$	2.68614	+	3.71277i	0.586164	+	0.810192i
$22$		−	4.25639i		−	0.907465i
$23$	2.18614	+	3.78651i	0.455842	+	0.789541i	0.998736	−	0.0502598i	$-0.0160049\pi$
$23$	2.18614	+	3.78651i	0.455842	+	0.789541i	−0.542894	+	0.839801i	$0.682672\pi$
$24$	−0.500000	−	1.65831i	−0.102062	−	0.338502i
$25$	4.55842	−	2.05446i	0.911684	−	0.410891i
$26$	1.00000	+	1.73205i	0.196116	+	0.339683i
$27$	−4.00000	−	3.31662i	−0.769800	−	0.638285i
$28$	−0.500000	+	2.59808i	−0.0944911	+	0.490990i
$29$		−	3.31662i		−	0.615882i	−0.951405	−	0.307941i	$-0.900360\pi$
$29$		−	3.31662i		−	0.615882i	0.951405	−	0.307941i	$-0.0996399\pi$
$30$	−2.00000	+	3.31662i	−0.365148	+	0.605530i
$31$	−2.05842	−	1.18843i	−0.369704	−	0.213448i	0.303625	−	0.952791i	$-0.401803\pi$
$31$	−2.05842	−	1.18843i	−0.369704	−	0.213448i	−0.673329	+	0.739343i	$0.735136\pi$
$32$	0.500000	−	0.866025i	0.0883883	−	0.153093i
$33$	1.68614	−	7.17687i	0.293519	−	1.24933i
$34$		−	6.63325i		−	1.13759i
$35$	5.05842	−	3.06796i	0.855029	−	0.518580i
$36$	−0.186141	−	2.99422i	−0.0310234	−	0.499037i
$37$	10.1168	−	5.84096i	1.66320	−	0.960248i	0.692026	−	0.721873i	$-0.256718\pi$
$37$	10.1168	−	5.84096i	1.66320	−	0.960248i	0.971173	−	0.238376i	$-0.0766149\pi$
$38$	−3.00000	−	1.73205i	−0.486664	−	0.280976i
$39$	1.00000	+	3.31662i	0.160128	+	0.531085i
$40$	−2.18614	+	0.469882i	−0.345659	+	0.0742949i
$41$	−1.62772			−0.254207			−0.127103	−	0.991889i	$-0.540568\pi$
$41$	−1.62772			−0.254207			−0.127103	+	0.991889i	$0.540568\pi$
$42$	−1.87228	+	4.18265i	−0.288899	+	0.645397i
$43$			11.0371i			1.68314i	0.540145	+	0.841572i	$0.318369\pi$
$43$			11.0371i			1.68314i	−0.540145	+	0.841572i	$0.681631\pi$
$44$	3.68614	−	2.12819i	0.555707	−	0.320837i
$45$	−4.68614	+	4.80001i	−0.698569	+	0.715543i
$46$	−2.18614	+	3.78651i	−0.322329	+	0.558290i
$47$	1.62772	−	0.939764i	0.237427	−	0.137079i	−0.376566	−	0.926390i	$-0.622895\pi$
$47$	1.62772	−	0.939764i	0.237427	−	0.137079i	0.613994	+	0.789311i	$0.289562\pi$
$48$	1.18614	−	1.26217i	0.171205	−	0.182178i
$49$	5.50000	−	4.33013i	0.785714	−	0.618590i
$50$	4.05842	+	2.92048i	0.573948	+	0.413018i
$51$	2.62772	−	11.1846i	0.367954	−	1.56616i
$52$	−1.00000	+	1.73205i	−0.138675	+	0.240192i
$53$	0.686141	−	1.18843i	0.0942487	−	0.163243i	−0.815046	−	0.579396i	$-0.803288\pi$
$53$	0.686141	−	1.18843i	0.0942487	−	0.163243i	0.909295	+	0.416153i	$0.136622\pi$
$54$	0.872281	−	5.12241i	0.118702	−	0.697072i
$55$	−9.05842	−	2.92048i	−1.22144	−	0.393798i
$56$	−2.50000	+	0.866025i	−0.334077	+	0.115728i
$57$	−4.37228	−	4.10891i	−0.579123	−	0.544239i
$58$	2.87228	−	1.65831i	0.377149	−	0.217747i
$59$	−2.05842	+	3.56529i	−0.267984	+	0.464161i	−0.968341	−	0.249631i	$-0.919691\pi$
$59$	−2.05842	+	3.56529i	−0.267984	+	0.464161i	0.700357	+	0.713792i	$0.253024\pi$
$60$	−3.87228	−	0.0737384i	−0.499909	−	0.00951959i
$61$	−2.44158	+	1.40965i	−0.312612	+	0.180487i	−0.648095	−	0.761560i	$-0.724434\pi$
$61$	−2.44158	+	1.40965i	−0.312612	+	0.180487i	0.335483	+	0.942046i	$0.391101\pi$
$62$		−	2.37686i		−	0.301862i
$63$	−4.81386	+	6.31084i	−0.606489	+	0.795092i
$64$	1.00000			0.125000
$65$	4.37228	−	0.939764i	0.542315	−	0.116563i
$66$	7.05842	−	2.12819i	0.868832	−	0.261963i
$67$	−6.55842	−	3.78651i	−0.801239	−	0.462595i	0.0426654	−	0.999089i	$-0.486415\pi$
$67$	−6.55842	−	3.78651i	−0.801239	−	0.462595i	−0.843904	+	0.536494i	$0.819748\pi$
$68$	5.74456	−	3.31662i	0.696631	−	0.402200i
$69$	−5.18614	+	5.51856i	−0.624338	+	0.664356i
$70$	5.18614	+	2.84674i	0.619862	+	0.340251i
$71$			1.87953i			0.223059i	0.993761	+	0.111529i	$0.0355749\pi$
$71$			1.87953i			0.223059i	−0.993761	+	0.111529i	$0.964425\pi$
$72$	2.50000	−	1.65831i	0.294628	−	0.195434i
$73$	−1.00000	+	1.73205i	−0.117041	+	0.202721i	−0.918594	−	0.395203i	$-0.870674\pi$
$73$	−1.00000	+	1.73205i	−0.117041	+	0.202721i	0.801553	+	0.597924i	$0.204008\pi$
$74$	10.1168	+	5.84096i	1.17606	+	0.678998i
$75$	5.68614	+	6.53206i	0.656579	+	0.754257i
$76$		−	3.46410i		−	0.397360i
$77$	−11.0584	−	2.12819i	−1.26022	−	0.242530i
$78$	−2.37228	+	2.52434i	−0.268608	+	0.285825i
$79$	4.05842	+	7.02939i	0.456608	+	0.790869i	0.998779	−	0.0493997i	$-0.0157308\pi$
$79$	4.05842	+	7.02939i	0.456608	+	0.790869i	−0.542171	+	0.840268i	$0.682397\pi$
$80$	−1.50000	−	1.65831i	−0.167705	−	0.185405i
$81$	3.50000	−	8.29156i	0.388889	−	0.921285i
$82$	−0.813859	−	1.40965i	−0.0898757	−	0.155669i
$83$			1.43710i			0.157742i	0.996885	+	0.0788710i	$0.0251315\pi$
$83$			1.43710i			0.157742i	−0.996885	+	0.0788710i	$0.974868\pi$
$84$	−4.55842	+	0.469882i	−0.497365	+	0.0512683i
$85$	−14.1168	−	4.55134i	−1.53119	−	0.493662i
$86$	−9.55842	+	5.51856i	−1.03071	+	0.595081i
$87$	5.50000	−	1.65831i	0.589662	−	0.177790i
$88$	3.68614	+	2.12819i	0.392944	+	0.226866i
$89$	−2.18614	−	3.78651i	−0.231730	−	0.401369i	0.726587	−	0.687074i	$-0.241105\pi$
$89$	−2.18614	−	3.78651i	−0.231730	−	0.401369i	−0.958317	+	0.285706i	$0.907772\pi$
$90$	−6.50000	−	1.65831i	−0.685160	−	0.174801i
$91$	5.00000	−	1.73205i	0.524142	−	0.181568i
$92$	−4.37228			−0.455842
$93$	0.941578	−	4.00772i	0.0976371	−	0.415581i
$94$	1.62772	+	0.939764i	0.167886	+	0.0969292i
$95$	−5.74456	+	5.19615i	−0.589380	+	0.533114i
$96$	1.68614	+	0.396143i	0.172091	+	0.0404312i
$97$	−2.11684			−0.214933			−0.107466	−	0.994209i	$-0.534274\pi$
$97$	−2.11684			−0.214933			−0.107466	+	0.994209i	$0.534274\pi$
$98$	6.50000	+	2.59808i	0.656599	+	0.262445i
$99$	12.7446	−	0.792287i	1.28088	−	0.0796278i
$100$	−0.500000	+	4.97494i	−0.0500000	+	0.497494i
$101$	−8.18614	+	14.1788i	−0.814551	+	1.41084i	0.0950981	+	0.995468i	$0.469684\pi$
$101$	−8.18614	+	14.1788i	−0.814551	+	1.41084i	−0.909650	+	0.415377i	$0.863650\pi$
$102$	11.0000	−	3.31662i	1.08916	−	0.328395i
$103$	−7.55842	−	13.0916i	−0.744753	−	1.28995i	−0.950310	−	0.311306i	$-0.899234\pi$
$103$	−7.55842	−	13.0916i	−0.744753	−	1.28995i	0.205556	−	0.978645i	$-0.434100\pi$
$104$	−2.00000			−0.196116
$105$	7.61684	+	6.85446i	0.743328	+	0.668927i
$106$	1.37228			0.133288
$107$	8.87228	+	15.3672i	0.857716	+	1.48561i	0.874102	+	0.485742i	$0.161450\pi$
$107$	8.87228	+	15.3672i	0.857716	+	1.48561i	−0.0163866	+	0.999866i	$0.505216\pi$
$108$	4.87228	−	1.80579i	0.468835	−	0.173762i
$109$	−4.55842	+	7.89542i	−0.436618	+	0.756244i	−0.997426	−	0.0717016i	$-0.977157\pi$
$109$	−4.55842	+	7.89542i	−0.436618	+	0.756244i	0.560808	+	0.827946i	$0.310490\pi$
$110$	−2.00000	−	9.30506i	−0.190693	−	0.887203i
$111$	14.7446	+	13.8564i	1.39949	+	1.31519i
$112$	−2.00000	−	1.73205i	−0.188982	−	0.163663i
$113$	3.25544			0.306246			0.153123	−	0.988207i	$-0.451067\pi$
$113$	3.25544			0.306246			0.153123	+	0.988207i	$0.451067\pi$
$114$	1.37228	−	5.84096i	0.128526	−	0.547056i
$115$	6.55842	+	7.25061i	0.611576	+	0.676123i
$116$	2.87228	+	1.65831i	0.266685	+	0.153970i
$117$	−5.00000	+	3.31662i	−0.462250	+	0.306622i
$118$	−4.11684			−0.378986
$119$	−17.2337	−	3.31662i	−1.57981	−	0.304034i
$120$	−1.87228	−	3.39036i	−0.170915	−	0.309496i
$121$	3.55842	+	6.16337i	0.323493	+	0.560306i
$122$	−2.44158	−	1.40965i	−0.221050	−	0.127623i
$123$	−0.813859	−	2.69927i	−0.0733832	−	0.243385i
$124$	2.05842	−	1.18843i	0.184852	−	0.106724i
$125$	9.00000	−	6.63325i	0.804984	−	0.593296i
$126$	−7.87228	−	1.01350i	−0.701319	−	0.0902900i
$127$			2.37686i			0.210912i	0.994424	+	0.105456i	$0.0336303\pi$
$127$			2.37686i			0.210912i	−0.994424	+	0.105456i	$0.966370\pi$
$128$	0.500000	+	0.866025i	0.0441942	+	0.0765466i
$129$	−18.3030	+	5.51856i	−1.61149	+	0.485882i
$130$	3.00000	+	3.31662i	0.263117	+	0.290887i
$131$	−2.31386	−	4.00772i	−0.202163	−	0.350156i	0.747062	−	0.664754i	$-0.231464\pi$
$131$	−2.31386	−	4.00772i	−0.202163	−	0.350156i	−0.949225	+	0.314598i	$0.898130\pi$
$132$	5.37228	+	5.04868i	0.467597	+	0.439431i
$133$	−6.00000	+	6.92820i	−0.520266	+	0.600751i
$134$		−	7.57301i		−	0.654209i
$135$	−10.3030	−	5.37108i	−0.886740	−	0.462269i
$136$	5.74456	+	3.31662i	0.492592	+	0.284398i
$137$	1.37228	−	2.37686i	0.117242	−	0.203069i	−0.801432	−	0.598086i	$-0.795928\pi$
$137$	1.37228	−	2.37686i	0.117242	−	0.203069i	0.918674	+	0.395017i	$0.129261\pi$
$138$	−7.37228	−	1.73205i	−0.627570	−	0.147442i
$139$			11.6819i			0.990848i	0.868651	+	0.495424i	$0.164987\pi$
$139$			11.6819i			0.990848i	−0.868651	+	0.495424i	$0.835013\pi$
$140$	0.127719	+	5.91470i	0.0107942	+	0.499883i
$141$	2.37228	+	2.22938i	0.199782	+	0.187748i
$142$	−1.62772	+	0.939764i	−0.136595	+	0.0788632i
$143$	−7.37228	−	4.25639i	−0.616501	−	0.355937i
$144$	2.68614	+	1.33591i	0.223845	+	0.111326i
$145$	−1.55842	−	7.25061i	−0.129420	−	0.602130i
$146$	−2.00000			−0.165521
$147$	9.93070	+	6.95565i	0.819071	+	0.573693i
$148$			11.6819i			0.960248i
$149$	12.3030	−	7.10313i	1.00790	−	0.581911i	0.0973237	−	0.995253i	$-0.468972\pi$
$149$	12.3030	−	7.10313i	1.00790	−	0.581911i	0.910576	+	0.413342i	$0.135638\pi$
$150$	−2.81386	+	8.19037i	−0.229751	+	0.668741i
$151$	4.05842	−	7.02939i	0.330270	−	0.572044i	−0.652295	−	0.757965i	$-0.726194\pi$
$151$	4.05842	−	7.02939i	0.330270	−	0.572044i	0.982565	+	0.185921i	$0.0595270\pi$
$152$	3.00000	−	1.73205i	0.243332	−	0.140488i
$153$	19.8614	−	1.23472i	1.60570	−	0.0998210i
$154$	−3.68614	−	10.6410i	−0.297038	−	0.857474i
$155$	−5.05842	−	1.63086i	−0.406302	−	0.130994i
$156$	−3.37228	−	0.792287i	−0.269999	−	0.0634337i
$157$	−4.00000	+	6.92820i	−0.319235	+	0.552931i	−0.980329	−	0.197372i	$-0.936759\pi$
$157$	−4.00000	+	6.92820i	−0.319235	+	0.552931i	0.661094	+	0.750303i	$0.270093\pi$
$158$	−4.05842	+	7.02939i	−0.322871	+	0.559228i
$159$	2.31386	+	0.543620i	0.183501	+	0.0431119i
$160$	0.686141	−	2.12819i	0.0542442	−	0.168249i
$161$	8.74456	+	7.57301i	0.689168	+	0.596837i
$162$	8.93070	−	1.11469i	0.701662	−	0.0875785i
$163$	−3.00000	+	1.73205i	−0.234978	+	0.135665i	−0.612866	−	0.790186i	$-0.709984\pi$
$163$	−3.00000	+	1.73205i	−0.234978	+	0.135665i	0.377888	+	0.925851i	$0.376650\pi$
$164$	0.813859	−	1.40965i	0.0635517	−	0.110075i
$165$	0.313859	−	16.4819i	0.0244339	−	1.28312i
$166$	−1.24456	+	0.718549i	−0.0965968	+	0.0557702i
$167$		−	11.3321i		−	0.876902i	−0.898755	−	0.438451i	$-0.855527\pi$
$167$		−	11.3321i		−	0.876902i	0.898755	−	0.438451i	$-0.144473\pi$
$168$	−2.68614	−	3.71277i	−0.207240	−	0.286446i
$169$	−9.00000			−0.692308
$170$	−3.11684	−	14.5012i	−0.239051	−	1.11219i
$171$	4.62772	−	9.30506i	0.353890	−	0.711576i
$172$	−9.55842	−	5.51856i	−0.728823	−	0.420786i
$173$	−3.25544	+	1.87953i	−0.247506	+	0.142898i	−0.618622	−	0.785689i	$-0.712309\pi$
$173$	−3.25544	+	1.87953i	−0.247506	+	0.142898i	0.371116	+	0.928587i	$0.378975\pi$
$174$	4.18614	+	3.93398i	0.317351	+	0.298235i
$175$	9.61684	−	9.08385i	0.726965	−	0.686674i
$176$			4.25639i			0.320837i
$177$	−6.94158	−	1.63086i	−0.521761	−	0.122583i
$178$	2.18614	−	3.78651i	0.163858	−	0.283811i
$179$	2.48913	+	1.43710i	0.186046	+	0.107414i	0.590130	−	0.807308i	$-0.299076\pi$
$179$	2.48913	+	1.43710i	0.186046	+	0.107414i	−0.404084	+	0.914722i	$0.632410\pi$
$180$	−1.81386	−	6.45832i	−0.135197	−	0.481375i
$181$		−	17.9653i		−	1.33535i	−0.744452	−	0.667676i	$-0.767289\pi$
$181$		−	17.9653i		−	1.33535i	0.744452	−	0.667676i	$-0.232711\pi$
$182$	4.00000	+	3.46410i	0.296500	+	0.256776i
$183$	−3.55842	−	3.34408i	−0.263046	−	0.247201i
$184$	−2.18614	−	3.78651i	−0.161164	−	0.279145i
$185$	19.3723	−	17.5229i	1.42428	−	1.28831i
$186$	3.94158	−	1.18843i	0.289011	−	0.0871400i
$187$	14.1168	+	24.4511i	1.03233	+	1.78804i
$188$			1.87953i			0.137079i
$189$	−12.8723	−	4.82746i	−0.936321	−	0.351146i
$190$	−7.37228	−	2.37686i	−0.534842	−	0.172436i
$191$	−3.25544	+	1.87953i	−0.235555	+	0.135998i	−0.613132	−	0.789980i	$-0.710091\pi$
$191$	−3.25544	+	1.87953i	−0.235555	+	0.135998i	0.377577	+	0.925978i	$0.376757\pi$
$192$	0.500000	+	1.65831i	0.0360844	+	0.119678i
$193$	−6.94158	−	4.00772i	−0.499666	−	0.288482i	0.228910	−	0.973448i	$-0.426484\pi$
$193$	−6.94158	−	4.00772i	−0.499666	−	0.288482i	−0.728575	+	0.684966i	$0.759817\pi$
$194$	−1.05842	−	1.83324i	−0.0759903	−	0.131619i
$195$	3.74456	+	6.78073i	0.268154	+	0.485578i
$196$	1.00000	+	6.92820i	0.0714286	+	0.494872i
$197$	20.2337			1.44159			0.720795	−	0.693148i	$-0.243777\pi$
$197$	20.2337			1.44159			0.720795	+	0.693148i	$0.243777\pi$
$198$	7.05842	+	10.6410i	0.501620	+	0.756221i
$199$	−16.1168	−	9.30506i	−1.14249	−	0.659619i	−0.195446	−	0.980714i	$-0.562615\pi$
$199$	−16.1168	−	9.30506i	−1.14249	−	0.659619i	−0.947047	+	0.321096i	$0.895949\pi$
$200$	−4.55842	+	2.05446i	−0.322329	+	0.145272i
$201$	3.00000	−	12.7692i	0.211604	−	0.900668i
$202$	−16.3723			−1.15195
$203$	−2.87228	−	8.29156i	−0.201595	−	0.581954i
$204$	8.37228	+	7.86797i	0.586177	+	0.550868i
$205$	−3.55842	+	0.764836i	−0.248531	+	0.0534184i
$206$	7.55842	−	13.0916i	0.526620	−	0.912133i
$207$	−11.7446	−	5.84096i	−0.816304	−	0.405975i
$208$	−1.00000	−	1.73205i	−0.0693375	−	0.120096i
$209$	14.7446			1.01990
$210$	−2.12772	+	10.0236i	−0.146827	+	0.691695i
$211$	−18.2337			−1.25526			−0.627629	−	0.778512i	$-0.715975\pi$
$211$	−18.2337			−1.25526			−0.627629	+	0.778512i	$0.715975\pi$
$212$	0.686141	+	1.18843i	0.0471243	+	0.0816217i
$213$	−3.11684	+	0.939764i	−0.213563	+	0.0643916i
$214$	−8.87228	+	15.3672i	−0.606497	+	1.05048i
$215$	5.18614	+	24.1287i	0.353692	+	1.64556i
$216$	4.00000	+	3.31662i	0.272166	+	0.225668i
$217$	−6.17527	−	1.18843i	−0.419204	−	0.0806759i
$218$	−9.11684			−0.617471
$219$	−3.37228	−	0.792287i	−0.227878	−	0.0535378i
$220$	7.05842	−	6.38458i	0.475879	−	0.430448i
$221$	−11.4891	−	6.63325i	−0.772842	−	0.446201i
$222$	−4.62772	+	19.6974i	−0.310592	+	1.32200i
$223$	18.1168			1.21319			0.606597	−	0.795010i	$-0.292534\pi$
$223$	18.1168			1.21319			0.606597	+	0.795010i	$0.292534\pi$
$224$	0.500000	−	2.59808i	0.0334077	−	0.173591i
$225$	−7.98913	+	12.6954i	−0.532608	+	0.846362i
$226$	1.62772	+	2.81929i	0.108274	+	0.187536i
$227$	13.5475	+	7.82168i	0.899182	+	0.519143i	0.876935	−	0.480609i	$-0.159584\pi$
$227$	13.5475	+	7.82168i	0.899182	+	0.519143i	0.0222475	+	0.999752i	$0.492918\pi$
$228$	5.74456	−	1.73205i	0.380443	−	0.114708i
$229$	12.0000	−	6.92820i	0.792982	−	0.457829i	−0.0480291	−	0.998846i	$-0.515294\pi$
$229$	12.0000	−	6.92820i	0.792982	−	0.457829i	0.841011	+	0.541017i	$0.181961\pi$
$230$	−3.00000	+	9.30506i	−0.197814	+	0.613558i
$231$	−2.00000	−	19.4024i	−0.131590	−	1.27659i
$232$			3.31662i			0.217747i
$233$	−11.7446	−	20.3422i	−0.769412	−	1.33266i	−0.937882	−	0.346954i	$-0.887216\pi$
$233$	−11.7446	−	20.3422i	−0.769412	−	1.33266i	0.168470	−	0.985707i	$-0.446117\pi$
$234$	−5.37228	−	2.67181i	−0.351197	−	0.174662i
$235$	3.11684	−	2.81929i	0.203320	−	0.183910i
$236$	−2.05842	−	3.56529i	−0.133992	−	0.232081i
$237$	−9.62772	+	10.2448i	−0.625388	+	0.665473i
$238$	−5.74456	−	16.5831i	−0.372365	−	1.07492i
$239$		−	2.87419i		−	0.185916i	−0.995670	−	0.0929581i	$-0.970368\pi$
$239$		−	2.87419i		−	0.185916i	0.995670	−	0.0929581i	$-0.0296323\pi$
$240$	2.00000	−	3.31662i	0.129099	−	0.214087i
$241$	9.17527	+	5.29734i	0.591031	+	0.341232i	0.765505	−	0.643430i	$-0.222489\pi$
$241$	9.17527	+	5.29734i	0.591031	+	0.341232i	−0.174474	+	0.984662i	$0.555823\pi$
$242$	−3.55842	+	6.16337i	−0.228744	+	0.396196i
$243$	15.5000	+	1.65831i	0.994325	+	0.106381i
$244$		−	2.81929i		−	0.180487i
$245$	9.98913	−	12.0506i	0.638182	−	0.769886i
$246$	1.93070	−	2.05446i	0.123097	−	0.130987i
$247$	−6.00000	+	3.46410i	−0.381771	+	0.220416i
$248$	2.05842	+	1.18843i	0.130710	+	0.0754654i
$249$	−2.38316	+	0.718549i	−0.151026	+	0.0455362i
$250$	10.2446	+	4.47760i	0.647923	+	0.283189i
$251$	−16.1168			−1.01729			−0.508643	−	0.860977i	$-0.669853\pi$
$251$	−16.1168			−1.01729			−0.508643	+	0.860977i	$0.669853\pi$
$252$	−3.05842	−	7.32435i	−0.192662	−	0.461390i
$253$		−	18.6101i		−	1.17001i
$254$	−2.05842	+	1.18843i	−0.129157	+	0.0745688i
$255$	0.489125	−	25.6858i	0.0306302	−	1.60851i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−7.37228	+	4.25639i	−0.459870	+	0.265506i	−0.711990	−	0.702190i	$-0.752206\pi$
$257$	−7.37228	+	4.25639i	−0.459870	+	0.265506i	0.252119	+	0.967696i	$0.418872\pi$
$258$	−13.9307	−	13.0916i	−0.867288	−	0.815046i
$259$	20.2337	−	23.3639i	1.25726	−	1.45176i
$260$	−1.37228	+	4.25639i	−0.0851053	+	0.263970i
$261$	5.50000	+	8.29156i	0.340441	+	0.513235i
$262$	2.31386	−	4.00772i	0.142951	−	0.247598i
$263$	0.813859	−	1.40965i	0.0501847	−	0.0869225i	−0.839842	−	0.542831i	$-0.817352\pi$
$263$	0.813859	−	1.40965i	0.0501847	−	0.0869225i	0.890027	+	0.455909i	$0.150686\pi$
$264$	−1.68614	+	7.17687i	−0.103775	+	0.441706i
$265$	0.941578	−	2.92048i	0.0578407	−	0.179404i
$266$	−9.00000	−	1.73205i	−0.551825	−	0.106199i
$267$	5.18614	−	5.51856i	0.317387	−	0.337730i
$268$	6.55842	−	3.78651i	0.400619	−	0.231298i
$269$	−9.98913	+	17.3017i	−0.609048	+	1.05490i	0.382350	+	0.924018i	$0.375115\pi$
$269$	−9.98913	+	17.3017i	−0.609048	+	1.05490i	−0.991398	+	0.130884i	$0.958218\pi$
$270$	−0.500000	−	11.6082i	−0.0304290	−	0.706452i
$271$	−18.1753	+	10.4935i	−1.10407	+	0.637434i	−0.937287	−	0.348559i	$-0.886671\pi$
$271$	−18.1753	+	10.4935i	−1.10407	+	0.637434i	−0.166782	+	0.985994i	$0.553338\pi$
$272$			6.63325i			0.402200i
$273$	5.37228	+	7.42554i	0.325145	+	0.449414i
$274$	2.74456			0.165805
$275$	−21.1753	−	2.12819i	−1.27692	−	0.128335i
$276$	−2.18614	−	7.25061i	−0.131590	−	0.436435i
$277$	25.1168	+	14.5012i	1.50912	+	0.871294i	0.999943	+	0.0106345i	$0.00338512\pi$
$277$	25.1168	+	14.5012i	1.50912	+	0.871294i	0.509181	+	0.860659i	$0.329948\pi$
$278$	−10.1168	+	5.84096i	−0.606768	+	0.350318i
$279$	7.11684	−	0.442430i	0.426074	−	0.0264876i
$280$	−5.05842	+	3.06796i	−0.302299	+	0.183346i
$281$			21.7793i			1.29924i	0.760258	+	0.649621i	$0.225073\pi$
$281$			21.7793i			1.29924i	−0.760258	+	0.649621i	$0.774927\pi$
$282$	−0.744563	+	3.16915i	−0.0443381	+	0.188720i
$283$	8.00000	−	13.8564i	0.475551	−	0.823678i	−0.524057	−	0.851683i	$-0.675582\pi$
$283$	8.00000	−	13.8564i	0.475551	−	0.823678i	0.999608	+	0.0280052i	$0.00891551\pi$
$284$	−1.62772	−	0.939764i	−0.0965873	−	0.0557647i
$285$	−11.4891	−	6.92820i	−0.680557	−	0.410391i
$286$		−	8.51278i		−	0.503371i
$287$	−4.06930	+	1.40965i	−0.240203	+	0.0832088i
$288$	0.186141	+	2.99422i	0.0109684	+	0.176436i
$289$	13.5000	+	23.3827i	0.794118	+	1.37545i
$290$	5.50000	−	4.97494i	0.322971	−	0.292138i
$291$	−1.05842	−	3.51039i	−0.0620458	−	0.205783i
$292$	−1.00000	−	1.73205i	−0.0585206	−	0.101361i
$293$			25.0410i			1.46291i	0.681889	+	0.731455i	$0.261159\pi$
$293$			25.0410i			1.46291i	−0.681889	+	0.731455i	$0.738841\pi$
$294$	−1.05842	+	12.0781i	−0.0617284	+	0.704407i
$295$	−2.82473	+	8.76144i	−0.164462	+	0.510111i
$296$	−10.1168	+	5.84096i	−0.588030	+	0.339499i
$297$	7.68614	+	20.7383i	0.445995	+	1.20336i
$298$	12.3030	+	7.10313i	0.712693	+	0.411473i
$299$	4.37228	+	7.57301i	0.252856	+	0.437959i
$300$	−8.50000	+	1.65831i	−0.490748	+	0.0957427i
$301$	9.55842	+	27.5928i	0.550938	+	1.59042i
$302$	8.11684			0.467072
$303$	−27.6060	−	6.48577i	−1.58592	−	0.372598i
$304$	3.00000	+	1.73205i	0.172062	+	0.0993399i
$305$	−4.67527	+	4.22894i	−0.267705	+	0.242148i
$306$	11.0000	+	16.5831i	0.628828	+	0.947994i
$307$	6.88316			0.392842			0.196421	−	0.980520i	$-0.437068\pi$
$307$	6.88316			0.392842			0.196421	+	0.980520i	$0.437068\pi$
$308$	7.37228	−	8.51278i	0.420075	−	0.485060i
$309$	17.9307	−	19.0800i	1.02004	−	1.08542i
$310$	−1.11684	−	5.19615i	−0.0634325	−	0.295122i
$311$	7.11684	−	12.3267i	0.403559	−	0.698985i	−0.590593	−	0.806969i	$-0.701106\pi$
$311$	7.11684	−	12.3267i	0.403559	−	0.698985i	0.994153	+	0.107984i	$0.0344396\pi$
$312$	−1.00000	−	3.31662i	−0.0566139	−	0.187767i
$313$	7.05842	+	12.2255i	0.398966	+	0.691029i	0.993599	−	0.112969i	$-0.0360360\pi$
$313$	7.05842	+	12.2255i	0.398966	+	0.691029i	−0.594633	+	0.803997i	$0.702703\pi$
$314$	−8.00000			−0.451466
$315$	−7.55842	+	16.0583i	−0.425869	+	0.904785i
$316$	−8.11684			−0.456608
$317$	8.05842	+	13.9576i	0.452606	+	0.783937i	0.998547	−	0.0538869i	$-0.0171611\pi$
$317$	8.05842	+	13.9576i	0.452606	+	0.783937i	−0.545941	+	0.837824i	$0.683828\pi$
$318$	0.686141	+	2.27567i	0.0384769	+	0.127613i
$319$	−7.05842	+	12.2255i	−0.395196	+	0.684499i
$320$	2.18614	−	0.469882i	0.122209	−	0.0262672i
$321$	−21.0475	+	22.3966i	−1.17476	+	1.25006i
$322$	−2.18614	+	11.3595i	−0.121829	+	0.633041i
$323$	22.9783			1.27854
$324$	5.43070	+	7.17687i	0.301706	+	0.398715i
$325$	9.11684	−	4.10891i	0.505712	−	0.227921i
$326$	−3.00000	−	1.73205i	−0.166155	−	0.0959294i
$327$	−15.3723	−	3.61158i	−0.850089	−	0.199721i
$328$	1.62772			0.0898757
$329$	3.25544	−	3.75906i	0.179478	−	0.207243i
$330$	14.4307	−	7.96916i	0.794384	−	0.438688i
$331$	−5.11684	−	8.86263i	−0.281247	−	0.487134i	0.690445	−	0.723385i	$-0.257415\pi$
$331$	−5.11684	−	8.86263i	−0.281247	−	0.487134i	−0.971692	+	0.236250i	$0.924081\pi$
$332$	−1.24456	−	0.718549i	−0.0683042	−	0.0394355i
$333$	−15.6060	+	31.3793i	−0.855202	+	1.71957i
$334$	9.81386	−	5.66603i	0.536990	−	0.310032i
$335$	−16.1168	−	5.19615i	−0.880557	−	0.283896i
$336$	1.87228	−	4.18265i	0.102141	−	0.228182i
$337$			9.30506i			0.506879i	0.967351	+	0.253440i	$0.0815619\pi$
$337$			9.30506i			0.506879i	−0.967351	+	0.253440i	$0.918438\pi$
$338$	−4.50000	−	7.79423i	−0.244768	−	0.423950i
$339$	1.62772	+	5.39853i	0.0884055	+	0.293208i
$340$	11.0000	−	9.94987i	0.596559	−	0.539608i
$341$	5.05842	+	8.76144i	0.273929	+	0.474459i
$342$	10.3723	−	0.644810i	0.560869	−	0.0348673i
$343$	10.0000	−	15.5885i	0.539949	−	0.841698i
$344$		−	11.0371i		−	0.595081i
$345$	−8.74456	+	14.5012i	−0.470791	+	0.780719i
$346$	−3.25544	−	1.87953i	−0.175013	−	0.101044i
$347$	9.55842	−	16.5557i	0.513123	−	0.888755i	−0.486761	−	0.873535i	$-0.661822\pi$
$347$	9.55842	−	16.5557i	0.513123	−	0.888755i	0.999884	−	0.0152200i	$-0.00484486\pi$
$348$	−1.31386	+	5.59230i	−0.0704303	+	0.299779i
$349$		−	24.0087i		−	1.28515i	−0.766221	−	0.642577i	$-0.777865\pi$
$349$		−	24.0087i		−	1.28515i	0.766221	−	0.642577i	$-0.222135\pi$
$350$	12.6753	+	3.78651i	0.677521	+	0.202397i
$351$	−8.00000	−	6.63325i	−0.427008	−	0.354057i
$352$	−3.68614	+	2.12819i	−0.196472	+	0.113433i
$353$	16.3723	+	9.45254i	0.871409	+	0.503108i	0.867816	−	0.496886i	$-0.165523\pi$
$353$	16.3723	+	9.45254i	0.871409	+	0.503108i	0.00359253	+	0.999994i	$0.498856\pi$
$354$	−2.05842	−	6.82701i	−0.109404	−	0.362852i
$355$	0.883156	+	4.10891i	0.0468731	+	0.218078i
$356$	4.37228			0.231730
$357$	−3.11684	−	30.2372i	−0.164961	−	1.60032i
$358$			2.87419i			0.151906i
$359$	−12.2554	+	7.07568i	−0.646817	+	0.373440i	−0.787236	−	0.616652i	$-0.788489\pi$
$359$	−12.2554	+	7.07568i	−0.646817	+	0.373440i	0.140419	+	0.990092i	$0.455155\pi$
$360$	4.68614	−	4.80001i	0.246981	−	0.252983i
$361$	−3.50000	+	6.06218i	−0.184211	+	0.319062i
$362$	15.5584	−	8.98266i	0.817733	−	0.472118i
$363$	−8.44158	+	8.98266i	−0.443068	+	0.471467i
$364$	−1.00000	+	5.19615i	−0.0524142	+	0.272352i
$365$	−1.37228	+	4.25639i	−0.0718285	+	0.222790i
$366$	1.11684	−	4.75372i	0.0583784	−	0.248481i
$367$	10.6168	−	18.3889i	0.554195	−	0.959893i	−0.443771	−	0.896140i	$-0.646360\pi$
$367$	10.6168	−	18.3889i	0.554195	−	0.959893i	0.997966	−	0.0637532i	$-0.0203070\pi$
$368$	2.18614	−	3.78651i	0.113960	−	0.197385i
$369$	4.06930	−	2.69927i	0.211839	−	0.140518i
$370$	24.8614	+	8.01544i	1.29248	+	0.416703i
$371$	0.686141	−	3.56529i	0.0356226	−	0.185101i
$372$	3.00000	+	2.81929i	0.155543	+	0.146173i
$373$	−14.2337	+	8.21782i	−0.736992	+	0.425503i	−0.820975	−	0.570964i	$-0.806569\pi$
$373$	−14.2337	+	8.21782i	−0.736992	+	0.425503i	0.0839823	+	0.996467i	$0.473236\pi$
$374$	−14.1168	+	24.4511i	−0.729965	+	1.26434i
$375$	15.5000	+	11.6082i	0.800417	+	0.599444i
$376$	−1.62772	+	0.939764i	−0.0839432	+	0.0484646i
$377$		−	6.63325i		−	0.341630i
$378$	−2.25544	−	13.5615i	−0.116007	−	0.697526i
$379$	22.2337			1.14207			0.571034	−	0.820926i	$-0.306542\pi$
$379$	22.2337			1.14207			0.571034	+	0.820926i	$0.306542\pi$
$380$	−1.62772	−	7.57301i	−0.0835002	−	0.388487i
$381$	−3.94158	+	1.18843i	−0.201933	+	0.0608851i
$382$	−3.25544	−	1.87953i	−0.166563	−	0.0961650i
$383$	−18.0475	+	10.4198i	−0.922187	+	0.532425i	−0.884332	−	0.466859i	$-0.845386\pi$
$383$	−18.0475	+	10.4198i	−0.922187	+	0.532425i	−0.0378546	+	0.999283i	$0.512052\pi$
$384$	−1.18614	+	1.26217i	−0.0605300	+	0.0644098i
$385$	−25.1753	+	0.543620i	−1.28305	+	0.0277055i
$386$		−	8.01544i		−	0.407975i
$387$	−18.3030	−	27.5928i	−0.930393	−	1.40262i
$388$	1.05842	−	1.83324i	0.0537332	−	0.0930687i
$389$	29.4891	+	17.0256i	1.49516	+	0.863230i	0.999985	−	0.00556424i	$-0.00177116\pi$
$389$	29.4891	+	17.0256i	1.49516	+	0.863230i	0.495173	+	0.868794i	$0.335104\pi$
$390$	−4.00000	+	6.63325i	−0.202548	+	0.335888i
$391$		−	29.0024i		−	1.46672i
$392$	−5.50000	+	4.33013i	−0.277792	+	0.218704i
$393$	5.48913	−	5.84096i	0.276890	−	0.294638i
$394$	10.1168	+	17.5229i	0.509679	+	0.882790i
$395$	12.1753	+	13.4603i	0.612604	+	0.677259i
$396$	−5.68614	+	11.4333i	−0.285739	+	0.574543i
$397$	−4.00000	−	6.92820i	−0.200754	−	0.347717i	0.748017	−	0.663679i	$-0.231006\pi$
$397$	−4.00000	−	6.92820i	−0.200754	−	0.347717i	−0.948772	+	0.315963i	$0.897673\pi$
$398$		−	18.6101i		−	0.932841i
$399$	−14.4891	−	6.48577i	−0.725364	−	0.324695i
$400$	−4.05842	−	2.92048i	−0.202921	−	0.146024i
$401$	17.1861	−	9.92242i	0.858235	−	0.495502i	−0.00518590	−	0.999987i	$-0.501651\pi$
$401$	17.1861	−	9.92242i	0.858235	−	0.495502i	0.863421	+	0.504484i	$0.168317\pi$
$402$	12.5584	−	3.78651i	0.626357	−	0.188854i
$403$	−4.11684	−	2.37686i	−0.205075	−	0.118400i
$404$	−8.18614	−	14.1788i	−0.407276	−	0.705422i
$405$	3.75544	−	19.7711i	0.186609	−	0.982434i
$406$	5.74456	−	6.63325i	0.285098	−	0.329203i
$407$	−49.7228			−2.46467
$408$	−2.62772	+	11.1846i	−0.130091	+	0.553720i
$409$	−30.7337	−	17.7441i	−1.51968	−	0.877389i	−0.999731	−	0.0231940i	$-0.992616\pi$
$409$	−30.7337	−	17.7441i	−1.51968	−	0.877389i	−0.519952	−	0.854195i	$-0.674050\pi$
$410$	−2.44158	−	2.69927i	−0.120581	−	0.133307i
$411$	4.62772	+	1.08724i	0.228269	+	0.0536296i
$412$	15.1168			0.744753
$413$	−2.05842	+	10.6959i	−0.101288	+	0.526310i
$414$	−0.813859	−	13.0916i	−0.0399990	−	0.643416i
$415$	0.675266	+	3.14170i	0.0331475	+	0.154220i
$416$	1.00000	−	1.73205i	0.0490290	−	0.0849208i
$417$	−19.3723	+	5.84096i	−0.948665	+	0.286033i
$418$	7.37228	+	12.7692i	0.360590	+	0.624560i
$419$	29.4891			1.44064			0.720319	−	0.693643i	$-0.243995\pi$
$419$	29.4891			1.44064			0.720319	+	0.693643i	$0.243995\pi$
$420$	−9.74456	+	3.16915i	−0.475486	+	0.154639i
$421$	15.1168			0.736750			0.368375	−	0.929677i	$-0.379914\pi$
$421$	15.1168			0.736750			0.368375	+	0.929677i	$0.379914\pi$
$422$	−9.11684	−	15.7908i	−0.443801	−	0.768686i
$423$	−2.51087	+	5.04868i	−0.122083	+	0.245475i
$424$	−0.686141	+	1.18843i	−0.0333219	+	0.0577153i
$425$	−33.0000	−	3.31662i	−1.60074	−	0.160880i
$426$	−2.37228	−	2.22938i	−0.114937	−	0.108014i
$427$	−4.88316	+	5.63858i	−0.236312	+	0.272870i
$428$	−17.7446			−0.857716
$429$	3.37228	−	14.3537i	0.162815	−	0.693005i
$430$	−18.3030	+	16.5557i	−0.882648	+	0.798385i
$431$	3.25544	+	1.87953i	0.156809	+	0.0905337i	0.576351	−	0.817202i	$-0.304476\pi$
$431$	3.25544	+	1.87953i	0.156809	+	0.0905337i	−0.419542	+	0.907736i	$0.637809\pi$
$432$	−0.872281	+	5.12241i	−0.0419677	+	0.246452i
$433$	−34.0000			−1.63394			−0.816968	−	0.576683i	$-0.804347\pi$
$433$	−34.0000			−1.63394			−0.816968	+	0.576683i	$0.804347\pi$
$434$	−2.05842	−	5.94215i	−0.0988074	−	0.285232i
$435$	11.2446	−	6.20965i	0.539136	−	0.297730i
$436$	−4.55842	−	7.89542i	−0.218309	−	0.378122i
$437$	−13.1168	−	7.57301i	−0.627464	−	0.362266i
$438$	−1.00000	−	3.31662i	−0.0477818	−	0.158474i
$439$	−11.0584	+	6.38458i	−0.527790	+	0.304720i	−0.740116	−	0.672479i	$-0.765229\pi$
$439$	−11.0584	+	6.38458i	−0.527790	+	0.304720i	0.212326	+	0.977199i	$0.431896\pi$
$440$	9.05842	+	2.92048i	0.431843	+	0.139228i
$441$	−6.56930	+	19.9460i	−0.312824	+	0.949811i
$442$		−	13.2665i		−	0.631023i
$443$	4.50000	+	7.79423i	0.213801	+	0.370315i	0.952901	−	0.303281i	$-0.0980821\pi$
$443$	4.50000	+	7.79423i	0.213801	+	0.370315i	−0.739100	+	0.673596i	$0.764749\pi$
$444$	−19.3723	+	5.84096i	−0.919368	+	0.277200i
$445$	−6.55842	−	7.25061i	−0.310899	−	0.343712i
$446$	9.05842	+	15.6896i	0.428929	+	0.742926i
$447$	17.9307	+	16.8506i	0.848093	+	0.797007i
$448$	2.50000	−	0.866025i	0.118114	−	0.0409159i
$449$		−	35.9855i		−	1.69826i	−0.528182	−	0.849131i	$-0.677126\pi$
$449$		−	35.9855i		−	1.69826i	0.528182	−	0.849131i	$-0.322874\pi$
$450$	−14.9891	−	0.571072i	−0.706594	−	0.0269206i
$451$	6.00000	+	3.46410i	0.282529	+	0.163118i
$452$	−1.62772	+	2.81929i	−0.0765614	+	0.132608i
$453$	13.6861	+	3.21543i	0.643031	+	0.151074i
$454$			15.6434i			0.734179i
$455$	10.1168	−	6.13592i	0.474285	−	0.287656i
$456$	4.37228	+	4.10891i	0.204751	+	0.192417i
$457$	11.0584	−	6.38458i	0.517291	−	0.298658i	−0.218534	−	0.975829i	$-0.570128\pi$
$457$	11.0584	−	6.38458i	0.517291	−	0.298658i	0.735826	+	0.677171i	$0.236794\pi$
$458$	12.0000	+	6.92820i	0.560723	+	0.323734i
$459$	11.9783	+	32.3191i	0.559097	+	1.50852i
$460$	−9.55842	+	2.05446i	−0.445664	+	0.0957895i
$461$	0.510875			0.0237938			0.0118969	−	0.999929i	$-0.496213\pi$
$461$	0.510875			0.0237938			0.0118969	+	0.999929i	$0.496213\pi$
$462$	15.8030	−	11.4333i	0.735221	−	0.531923i
$463$		−	36.5754i		−	1.69981i	−0.526940	−	0.849903i	$-0.676661\pi$
$463$		−	36.5754i		−	1.69981i	0.526940	−	0.849903i	$-0.323339\pi$
$464$	−2.87228	+	1.65831i	−0.133342	+	0.0769852i
$465$	0.175266	−	9.20387i	0.00812776	−	0.426819i
$466$	11.7446	−	20.3422i	0.544056	−	0.942333i
$467$	−0.0475473	+	0.0274514i	−0.00220023	+	0.00127030i	−0.501100	−	0.865390i	$-0.667071\pi$
$467$	−0.0475473	+	0.0274514i	−0.00220023	+	0.00127030i	0.498899	+	0.866660i	$0.333738\pi$
$468$	−0.372281	−	5.98844i	−0.0172087	−	0.276816i
$469$	−19.6753	−	3.78651i	−0.908519	−	0.174845i
$470$	4.00000	+	1.28962i	0.184506	+	0.0594858i
$471$	−13.4891	−	3.16915i	−0.621546	−	0.146027i
$472$	2.05842	−	3.56529i	0.0947466	−	0.164106i
$473$	23.4891	−	40.6844i	1.08003	−	1.87067i
$474$	−13.6861	−	3.21543i	−0.628625	−	0.147690i
$475$	−10.1168	+	14.0588i	−0.464193	+	0.645061i
$476$	11.4891	−	13.2665i	0.526603	−	0.608069i
$477$	0.255437	+	4.10891i	0.0116957	+	0.188134i
$478$	2.48913	−	1.43710i	0.113850	−	0.0657313i
$479$	4.37228	−	7.57301i	0.199775	−	0.346020i	−0.748681	−	0.662931i	$-0.769312\pi$
$479$	4.37228	−	7.57301i	0.199775	−	0.346020i	0.948455	+	0.316911i	$0.102646\pi$
$480$	3.87228	+	0.0737384i	0.176745	+	0.00336568i
$481$	20.2337	−	11.6819i	0.922577	−	0.532650i
$482$			10.5947i			0.482575i
$483$	−8.18614	+	18.2877i	−0.372482	+	0.832120i
$484$	−7.11684			−0.323493
$485$	−4.62772	+	0.994667i	−0.210134	+	0.0451655i
$486$	6.31386	+	14.2525i	0.286402	+	0.646509i
$487$	3.94158	+	2.27567i	0.178610	+	0.103121i	0.586639	−	0.809848i	$-0.300451\pi$
$487$	3.94158	+	2.27567i	0.178610	+	0.103121i	−0.408029	+	0.912969i	$0.633784\pi$
$488$	2.44158	−	1.40965i	0.110525	−	0.0638117i
$489$	−4.37228	−	4.10891i	−0.197721	−	0.185811i
$490$	15.4307	+	2.62553i	0.697088	+	0.118609i
$491$		−	26.9205i		−	1.21491i	−0.794355	−	0.607453i	$-0.792191\pi$
$491$		−	26.9205i		−	1.21491i	0.794355	−	0.607453i	$-0.207809\pi$
$492$	2.74456	+	0.644810i	0.123734	+	0.0290703i
$493$	−11.0000	+	19.0526i	−0.495415	+	0.858084i
$494$	−6.00000	−	3.46410i	−0.269953	−	0.155857i
$495$	27.4891	−	7.72049i	1.23554	−	0.347010i
$496$			2.37686i			0.106724i
$497$	1.62772	+	4.69882i	0.0730132	+	0.210771i
$498$	−1.81386	−	1.70460i	−0.0812810	−	0.0763849i
$499$	−14.1168	−	24.4511i	−0.631957	−	1.09458i	−0.987151	−	0.159789i	$-0.948919\pi$
$499$	−14.1168	−	24.4511i	−0.631957	−	1.09458i	0.355195	−	0.934792i	$-0.384415\pi$
$500$	1.24456	+	11.1109i	0.0556585	+	0.496892i
$501$	18.7921	−	5.66603i	0.839570	−	0.253140i
$502$	−8.05842	−	13.9576i	−0.359665	−	0.622958i
$503$			9.45254i			0.421468i	0.977543	+	0.210734i	$0.0675854\pi$
$503$			9.45254i			0.421468i	−0.977543	+	0.210734i	$0.932415\pi$
$504$	4.81386	−	6.31084i	0.214426	−	0.281107i
$505$	−11.2337	+	34.8434i	−0.499893	+	1.55051i
$506$	16.1168	−	9.30506i	0.716481	−	0.413661i
$507$	−4.50000	−	14.9248i	−0.199852	−	0.662834i
$508$	−2.05842	−	1.18843i	−0.0913277	−	0.0527281i
$509$	0.127719	+	0.221215i	0.00566103	+	0.00980519i	0.868842	−	0.495089i	$-0.164865\pi$
$509$	0.127719	+	0.221215i	0.00566103	+	0.00980519i	−0.863181	+	0.504895i	$0.831531\pi$
$510$	22.4891	−	12.4193i	0.995835	−	0.549936i
$511$	−1.00000	+	5.19615i	−0.0442374	+	0.229864i
$512$	−1.00000			−0.0441942
$513$	17.7446	+	3.02167i	0.783442	+	0.133410i
$514$	−7.37228	−	4.25639i	−0.325177	−	0.187741i
$515$	−22.6753	−	25.0684i	−0.999192	−	1.10465i
$516$	4.37228	−	18.6101i	0.192479	−	0.819265i
$517$	−8.00000			−0.351840
$518$	30.3505	+	5.84096i	1.33353	+	0.256637i
$519$	−4.74456	−	4.45877i	−0.208263	−	0.195718i
$520$	−4.37228	+	0.939764i	−0.191737	+	0.0412114i
$521$	1.62772	−	2.81929i	0.0713116	−	0.123515i	−0.828165	−	0.560485i	$-0.810615\pi$
$521$	1.62772	−	2.81929i	0.0713116	−	0.123515i	0.899476	+	0.436969i	$0.143948\pi$
$522$	−4.43070	+	8.90892i	−0.193927	+	0.389933i
$523$	12.1168	+	20.9870i	0.529833	+	0.917697i	0.999394	+	0.0347974i	$0.0110786\pi$
$523$	12.1168	+	20.9870i	0.529833	+	0.917697i	−0.469562	+	0.882900i	$0.655588\pi$
$524$	4.62772			0.202163
$525$	19.8723	+	11.4058i	0.867297	+	0.497790i
$526$	1.62772			0.0709719
$527$	7.88316	+	13.6540i	0.343396	+	0.594779i
$528$	−7.05842	+	2.12819i	−0.307178	+	0.0926178i
$529$	1.94158	−	3.36291i	0.0844164	−	0.146214i
$530$	3.00000	−	0.644810i	0.130312	−	0.0280088i
$531$	−0.766312	−	12.3267i	−0.0332551	−	0.534935i
$532$	−3.00000	−	8.66025i	−0.130066	−	0.375470i
$533$	−3.25544			−0.141009
$534$	7.37228	+	1.73205i	0.319030	+	0.0749532i
$535$	26.6168	+	29.4260i	1.15075	+	1.27220i
$536$	6.55842	+	3.78651i	0.283281	+	0.163552i
$537$	−1.13859	+	4.84630i	−0.0491339	+	0.209133i
$538$	−19.9783			−0.861324
$539$	−29.4891	+	4.25639i	−1.27019	+	0.183336i
$540$	9.80298	−	6.23711i	0.421853	−	0.268402i
$541$	6.67527	+	11.5619i	0.286992	+	0.497085i	0.973090	−	0.230424i	$-0.0740113\pi$
$541$	6.67527	+	11.5619i	0.286992	+	0.497085i	−0.686098	+	0.727509i	$0.740678\pi$
$542$	−18.1753	−	10.4935i	−0.780695	−	0.450734i
$543$	29.7921	−	8.98266i	1.27850	−	0.385483i
$544$	−5.74456	+	3.31662i	−0.246296	+	0.142199i
$545$	−6.25544	+	19.4024i	−0.267953	+	0.831108i
$546$	−3.74456	+	8.36530i	−0.160252	+	0.358002i
$547$			0.644810i			0.0275701i	0.999905	+	0.0137850i	$0.00438806\pi$
$547$			0.644810i			0.0275701i	−0.999905	+	0.0137850i	$0.995612\pi$
$548$	1.37228	+	2.37686i	0.0586210	+	0.101534i
$549$	3.76631	−	7.57301i	0.160742	−	0.323208i
$550$	−8.74456	−	19.4024i	−0.372869	−	0.827322i
$551$	5.74456	+	9.94987i	0.244727	+	0.423879i
$552$	5.18614	−	5.51856i	0.220737	−	0.234885i
$553$	16.2337	+	14.0588i	0.690327	+	0.597840i
$554$			29.0024i			1.23220i
$555$	38.7446	+	23.3639i	1.64462	+	0.991740i
$556$	−10.1168	−	5.84096i	−0.429050	−	0.247712i
$557$	−0.430703	+	0.746000i	−0.0182495	+	0.0316090i	−0.875006	−	0.484112i	$-0.839143\pi$
$557$	−0.430703	+	0.746000i	−0.0182495	+	0.0316090i	0.856756	+	0.515721i	$0.172476\pi$
$558$	3.94158	+	5.94215i	0.166860	+	0.251551i
$559$			22.0742i			0.933640i
$560$	−5.18614	−	2.84674i	−0.219154	−	0.120297i
$561$	−33.4891	+	35.6357i	−1.41391	+	1.50454i
$562$	−18.8614	+	10.8896i	−0.795620	+	0.459352i
$563$	−10.2446	−	5.91470i	−0.431757	−	0.249275i	0.268338	−	0.963325i	$-0.413526\pi$
$563$	−10.2446	−	5.91470i	−0.431757	−	0.249275i	−0.700095	+	0.714050i	$0.746859\pi$
$564$	−3.11684	+	0.939764i	−0.131243	+	0.0395712i
$565$	7.11684	−	1.52967i	0.299408	−	0.0643537i
$566$	16.0000			0.672530
$567$	1.56930	−	23.7600i	0.0659043	−	0.997826i
$568$		−	1.87953i		−	0.0788632i
$569$	18.8614	−	10.8896i	0.790711	−	0.456517i	−0.0495016	−	0.998774i	$-0.515763\pi$
$569$	18.8614	−	10.8896i	0.790711	−	0.456517i	0.840213	+	0.542257i	$0.182430\pi$
$570$	0.255437	−	13.4140i	0.0106991	−	0.561850i
$571$	−17.1168	+	29.6472i	−0.716318	+	1.24070i	0.246132	+	0.969236i	$0.420840\pi$
$571$	−17.1168	+	29.6472i	−0.716318	+	1.24070i	−0.962449	+	0.271462i	$0.912493\pi$
$572$	7.37228	−	4.25639i	0.308251	−	0.177969i
$573$	−4.74456	−	4.45877i	−0.198207	−	0.186268i
$574$	−3.25544	−	2.81929i	−0.135879	−	0.117675i
$575$	17.7446	+	12.7692i	0.739999	+	0.532511i
$576$	−2.50000	+	1.65831i	−0.104167	+	0.0690963i
$577$	8.94158	−	15.4873i	0.372243	−	0.644743i	−0.617667	−	0.786439i	$-0.711922\pi$
$577$	8.94158	−	15.4873i	0.372243	−	0.644743i	0.989910	+	0.141696i	$0.0452556\pi$
$578$	−13.5000	+	23.3827i	−0.561526	+	0.972592i
$579$	3.17527	−	13.5152i	0.131960	−	0.561671i
$580$	7.05842	+	2.27567i	0.293085	+	0.0944921i
$581$	1.24456	+	3.59274i	0.0516332	+	0.149052i
$582$	2.51087	−	2.67181i	0.104079	−	0.110750i
$583$	−5.05842	+	2.92048i	−0.209498	+	0.120954i
$584$	1.00000	−	1.73205i	0.0413803	−	0.0716728i
$585$	−9.37228	+	9.60002i	−0.387496	+	0.396912i
$586$	−21.6861	+	12.5205i	−0.895846	+	0.517217i
$587$		−	36.4280i		−	1.50354i	−0.659424	−	0.751772i	$-0.729200\pi$
$587$		−	36.4280i		−	1.50354i	0.659424	−	0.751772i	$-0.270800\pi$
$588$	−10.9891	+	5.12241i	−0.453184	+	0.211245i
$589$	8.23369			0.339263
$590$	−9.00000	+	1.93443i	−0.370524	+	0.0796392i
$591$	10.1168	+	33.5538i	0.416151	+	1.38022i
$592$	−10.1168	−	5.84096i	−0.415800	−	0.240062i
$593$	−12.2554	+	7.07568i	−0.503270	+	0.290563i	−0.730063	−	0.683380i	$-0.760509\pi$
$593$	−12.2554	+	7.07568i	−0.503270	+	0.290563i	0.226793	+	0.973943i	$0.427176\pi$
$594$	−14.1168	+	17.0256i	−0.579221	+	0.698567i
$595$	−39.2337	+	0.847190i	−1.60842	+	0.0347314i
$596$			14.2063i			0.581911i
$597$	7.37228	−	31.3793i	0.301727	−	1.28427i
$598$	−4.37228	+	7.57301i	−0.178796	+	0.309684i
$599$	7.37228	+	4.25639i	0.301223	+	0.173911i	0.642992	−	0.765873i	$-0.277693\pi$
$599$	7.37228	+	4.25639i	0.301223	+	0.173911i	−0.341769	+	0.939784i	$0.611026\pi$
$600$	−5.68614	−	6.53206i	−0.232136	−	0.266670i
$601$			10.5947i			0.432166i	0.976375	+	0.216083i	$0.0693282\pi$
$601$			10.5947i			0.432166i	−0.976375	+	0.216083i	$0.930672\pi$
$602$	−19.1168	+	22.0742i	−0.779144	+	0.899678i
$603$	22.6753	−	1.40965i	0.923408	−	0.0574052i
$604$	4.05842	+	7.02939i	0.165135	+	0.286022i
$605$	10.6753	+	11.8020i	0.434011	+	0.479818i
$606$	−8.18614	−	27.1504i	−0.332539	−	1.10291i
$607$	−13.7337	−	23.7874i	−0.557433	−	0.965503i	−0.997710	−	0.0676404i	$-0.978453\pi$
$607$	−13.7337	−	23.7874i	−0.557433	−	0.965503i	0.440277	−	0.897862i	$-0.354880\pi$
$608$			3.46410i			0.140488i
$609$	12.3139	−	8.90892i	0.498983	−	0.361008i
$610$	−6.00000	−	1.93443i	−0.242933	−	0.0783228i
$611$	3.25544	−	1.87953i	0.131701	−	0.0760375i
$612$	−8.86141	+	17.8178i	−0.358201	+	0.720244i
$613$	−11.2337	−	6.48577i	−0.453724	−	0.261958i	0.255677	−	0.966762i	$-0.417701\pi$
$613$	−11.2337	−	6.48577i	−0.453724	−	0.261958i	−0.709402	+	0.704804i	$0.751035\pi$
$614$	3.44158	+	5.96099i	0.138891	+	0.240566i
$615$	−3.04755	−	5.51856i	−0.122889	−	0.222530i
$616$	11.0584	+	2.12819i	0.445557	+	0.0857474i
$617$	1.02175			0.0411341			0.0205670	−	0.999788i	$-0.493453\pi$
$617$	1.02175			0.0411341			0.0205670	+	0.999788i	$0.493453\pi$
$618$	25.4891	+	5.98844i	1.02532	+	0.240890i
$619$	20.2337	+	11.6819i	0.813261	+	0.469536i	0.848087	−	0.529857i	$-0.177754\pi$
$619$	20.2337	+	11.6819i	0.813261	+	0.469536i	−0.0348263	+	0.999393i	$0.511088\pi$
$620$	3.94158	−	3.56529i	0.158298	−	0.143186i
$621$	3.81386	−	22.3966i	0.153045	−	0.898746i
$622$	14.2337			0.570719
$623$	−8.74456	−	7.57301i	−0.350344	−	0.303406i
$624$	2.37228	−	2.52434i	0.0949673	−	0.101054i
$625$	16.5584	−	18.7302i	0.662337	−	0.749206i
$626$	−7.05842	+	12.2255i	−0.282111	+	0.488631i
$627$	7.37228	+	24.4511i	0.294421	+	0.976483i
$628$	−4.00000	−	6.92820i	−0.159617	−	0.276465i
$629$	−77.4891			−3.08969
$630$	−17.6861	+	1.48338i	−0.704633	+	0.0590994i
$631$	30.1168			1.19893			0.599466	−	0.800400i	$-0.295380\pi$
$631$	30.1168			1.19893			0.599466	+	0.800400i	$0.295380\pi$
$632$	−4.05842	−	7.02939i	−0.161435	−	0.279614i
$633$	−9.11684	−	30.2372i	−0.362362	−	1.20182i
$634$	−8.05842	+	13.9576i	−0.320041	+	0.554327i
$635$	1.11684	+	5.19615i	0.0443206	+	0.206203i
$636$	−1.62772	+	1.73205i	−0.0645432	+	0.0686803i
$637$	11.0000	−	8.66025i	0.435836	−	0.343132i
$638$	−14.1168			−0.558891
$639$	−3.11684	−	4.69882i	−0.123300	−	0.185882i
$640$	1.50000	+	1.65831i	0.0592927	+	0.0655506i
$641$	−12.3030	−	7.10313i	−0.485939	−	0.280557i	0.236949	−	0.971522i	$-0.423852\pi$
$641$	−12.3030	−	7.10313i	−0.485939	−	0.280557i	−0.722888	+	0.690965i	$0.757186\pi$
$642$	−29.9198	−	7.02939i	−1.18084	−	0.277428i
$643$	16.2337			0.640194			0.320097	−	0.947385i	$-0.396284\pi$
$643$	16.2337			0.640194			0.320097	+	0.947385i	$0.396284\pi$
$644$	−10.9307	+	3.78651i	−0.430730	+	0.149209i
$645$	−37.4198	+	20.6646i	−1.47340	+	0.813667i
$646$	11.4891	+	19.8997i	0.452034	+	0.782945i
$647$	−22.0693	−	12.7417i	−0.867634	−	0.500928i	−0.00107245	−	0.999999i	$-0.500341\pi$
$647$	−22.0693	−	12.7417i	−0.867634	−	0.500928i	−0.866561	+	0.499071i	$0.833675\pi$
$648$	−3.50000	+	8.29156i	−0.137493	+	0.325723i
$649$	15.1753	−	8.76144i	0.595681	−	0.343917i
$650$	8.11684	+	5.84096i	0.318369	+	0.229101i
$651$	−1.11684	−	10.8347i	−0.0437726	−	0.424647i
$652$		−	3.46410i		−	0.135665i
$653$	−5.31386	−	9.20387i	−0.207947	−	0.360175i	0.743120	−	0.669158i	$-0.233345\pi$
$653$	−5.31386	−	9.20387i	−0.207947	−	0.360175i	−0.951068	+	0.308982i	$0.900012\pi$
$654$	−4.55842	−	15.1186i	−0.178248	−	0.591183i
$655$	−6.94158	−	7.67420i	−0.271230	−	0.299856i
$656$	0.813859	+	1.40965i	0.0317759	+	0.0550374i
$657$	−0.372281	−	5.98844i	−0.0145241	−	0.233631i
$658$	4.88316	+	0.939764i	0.190365	+	0.0366358i
$659$			36.9253i			1.43841i	0.694800	+	0.719203i	$0.255493\pi$
$659$			36.9253i			1.43841i	−0.694800	+	0.719203i	$0.744507\pi$
$660$	14.1168	+	8.51278i	0.549497	+	0.331359i
$661$	2.44158	+	1.40965i	0.0949664	+	0.0548289i	0.546731	−	0.837308i	$-0.315872\pi$
$661$	2.44158	+	1.40965i	0.0949664	+	0.0548289i	−0.451765	+	0.892137i	$0.649205\pi$
$662$	5.11684	−	8.86263i	0.198872	−	0.344456i
$663$	5.25544	−	22.3692i	0.204104	−	0.868747i
$664$		−	1.43710i		−	0.0557702i
$665$	−9.86141	+	17.9653i	−0.382409	+	0.696665i
$666$	−34.9783	+	2.17448i	−1.35538	+	0.0842594i
$667$	12.5584	−	7.25061i	0.486264	−	0.280745i
$668$	9.81386	+	5.66603i	0.379710	+	0.219225i
$669$	9.05842	+	30.0434i	0.350219	+	1.16154i
$670$	−3.55842	−	16.5557i	−0.137474	−	0.639601i
$671$	12.0000			0.463255
$672$	4.55842	−	0.469882i	0.175845	−	0.0181261i
$673$			17.1181i			0.659855i	0.944006	+	0.329928i	$0.107024\pi$
$673$			17.1181i			0.659855i	−0.944006	+	0.329928i	$0.892976\pi$
$674$	−8.05842	+	4.65253i	−0.310399	+	0.179209i
$675$	−25.0475	−	6.90075i	−0.964081	−	0.265610i
$676$	4.50000	−	7.79423i	0.173077	−	0.299778i
$677$	38.9198	−	22.4704i	1.49581	−	0.863607i	0.495822	−	0.868424i	$-0.334867\pi$
$677$	38.9198	−	22.4704i	1.49581	−	0.863607i	0.999988	+	0.00481749i	$0.00153346\pi$
$678$	−3.86141	+	4.10891i	−0.148296	+	0.157802i
$679$	−5.29211	+	1.83324i	−0.203093	+	0.0703533i
$680$	14.1168	+	4.55134i	0.541356	+	0.174536i
$681$	−6.19702	+	26.3769i	−0.237470	+	1.01077i
$682$	−5.05842	+	8.76144i	−0.193697	+	0.335493i
$683$	−6.98913	+	12.1055i	−0.267431	+	0.463205i	−0.968198	−	0.250186i	$-0.919508\pi$
$683$	−6.98913	+	12.1055i	−0.267431	+	0.463205i	0.700766	+	0.713391i	$0.252842\pi$
$684$	5.74456	+	8.66025i	0.219649	+	0.331133i
$685$	1.88316	−	5.84096i	0.0719517	−	0.223172i
$686$	18.5000	+	0.866025i	0.706333	+	0.0330650i
$687$	17.4891	+	16.4356i	0.667252	+	0.627059i
$688$	9.55842	−	5.51856i	0.364411	−	0.210393i
$689$	1.37228	−	2.37686i	0.0522798	−	0.0905512i
$690$	−16.9307	−	0.322405i	−0.644541	−	0.0122738i
$691$	−26.2337	+	15.1460i	−0.997977	+	0.576182i	−0.907649	−	0.419730i	$-0.862125\pi$
$691$	−26.2337	+	15.1460i	−0.997977	+	0.576182i	−0.0903276	+	0.995912i	$0.528791\pi$
$692$		−	3.75906i		−	0.142898i
$693$	31.1753	−	13.0178i	1.18425	−	0.494507i
$694$	19.1168			0.725665
$695$	5.48913	+	25.5383i	0.208214	+	0.968724i
$696$	−5.50000	+	1.65831i	−0.208477	+	0.0628582i
$697$	9.35053	+	5.39853i	0.354177	+	0.204484i
$698$	20.7921	−	12.0043i	0.786993	−	0.454371i
$699$	27.8614	−	29.6472i	1.05382	−	1.12136i
$700$	3.05842	+	12.8704i	0.115597	+	0.486454i
$701$			12.7143i			0.480211i	0.970747	+	0.240106i	$0.0771821\pi$
$701$			12.7143i			0.480211i	−0.970747	+	0.240106i	$0.922818\pi$
$702$	1.74456	−	10.2448i	0.0658443	−	0.386666i
$703$	−20.2337	+	35.0458i	−0.763128	+	1.32178i
$704$	−3.68614	−	2.12819i	−0.138927	−	0.0802093i
$705$	6.23369	+	3.75906i	0.234774	+	0.141574i
$706$			18.9051i			0.711502i
$707$	−8.18614	+	42.5364i	−0.307872	+	1.59975i
$708$	4.88316	−	5.19615i	0.183520	−	0.195283i
$709$	2.55842	+	4.43132i	0.0960836	+	0.166422i	0.910060	−	0.414476i	$-0.136035\pi$
$709$	2.55842	+	4.43132i	0.0960836	+	0.166422i	−0.813977	+	0.580897i	$0.802702\pi$
$710$	−3.11684	+	2.81929i	−0.116973	+	0.105806i
$711$	−21.8030	−	10.8434i	−0.817676	−	0.406657i
$712$	2.18614	+	3.78651i	0.0819291	+	0.141905i
$713$		−	10.3923i		−	0.389195i
$714$	24.6277	−	17.8178i	0.921669	−	0.666816i
$715$	−18.1168	−	5.84096i	−0.677532	−	0.218440i
$716$	−2.48913	+	1.43710i	−0.0930230	+	0.0537068i
$717$	4.76631	−	1.43710i	0.178001	−	0.0536694i
$718$	−12.2554	−	7.07568i	−0.457369	−	0.264062i
$719$	−16.6277	−	28.8001i	−0.620109	−	1.07406i	−0.989465	−	0.144773i	$-0.953755\pi$
$719$	−16.6277	−	28.8001i	−0.620109	−	1.07406i	0.369356	−	0.929288i	$-0.379578\pi$
$720$	6.50000	+	1.65831i	0.242241	+	0.0618017i
$721$	−30.2337	−	26.1831i	−1.12596	−	0.975111i
$722$	−7.00000			−0.260513
$723$	−4.19702	+	17.8641i	−0.156089	+	0.664374i
$724$	15.5584	+	8.98266i	0.578224	+	0.333838i
$725$	−6.81386	−	15.1186i	−0.253060	−	0.561490i
$726$	−12.0000	−	2.81929i	−0.445362	−	0.104634i
$727$	−19.0000			−0.704671			−0.352335	−	0.935874i	$-0.614612\pi$
$727$	−19.0000			−0.704671			−0.352335	+	0.935874i	$0.614612\pi$
$728$	−5.00000	+	1.73205i	−0.185312	+	0.0641941i
$729$	5.00000	+	26.5330i	0.185185	+	0.982704i
$730$	−4.37228	+	0.939764i	−0.161825	+	0.0347822i
$731$	36.6060	−	63.4034i	1.35392	−	2.34506i
$732$	4.67527	−	1.40965i	0.172803	−	0.0521020i
$733$	−18.2337	−	31.5817i	−0.673477	−	1.16650i	−0.976912	−	0.213644i	$-0.931467\pi$
$733$	−18.2337	−	31.5817i	−0.673477	−	1.16650i	0.303435	−	0.952852i	$-0.401866\pi$
$734$	21.2337			0.783750
$735$	24.9783	+	10.5398i	0.921337	+	0.388766i
$736$	4.37228			0.161164
$737$	16.1168	+	27.9152i	0.593672	+	1.02827i
$738$	4.37228	+	2.17448i	0.160946	+	0.0800438i
$739$	18.1168	−	31.3793i	0.666439	−	1.15431i	−0.312454	−	0.949933i	$-0.601151\pi$
$739$	18.1168	−	31.3793i	0.666439	−	1.15431i	0.978893	−	0.204373i	$-0.0655156\pi$
$740$	5.48913	+	25.5383i	0.201784	+	0.938808i
$741$	−8.74456	−	8.21782i	−0.321240	−	0.301889i
$742$	3.43070	−	1.18843i	0.125945	−	0.0436287i
$743$	18.6060			0.682587			0.341293	−	0.939957i	$-0.389135\pi$
$743$	18.6060			0.682587			0.341293	+	0.939957i	$0.389135\pi$
$744$	−0.941578	+	4.00772i	−0.0345199	+	0.146930i
$745$	23.5584	−	21.3094i	0.863114	−	0.780716i
$746$	−14.2337	−	8.21782i	−0.521132	−	0.300876i
$747$	−2.38316	−	3.59274i	−0.0871951	−	0.131452i
$748$	−28.2337			−1.03233
$749$	35.4891	+	30.7345i	1.29674	+	1.12301i
$750$	−2.30298	+	19.2275i	−0.0840931	+	0.702089i
$751$	−21.0584	−	36.4743i	−0.768433	−	1.33096i	−0.938412	−	0.345517i	$-0.887704\pi$
$751$	−21.0584	−	36.4743i	−0.768433	−	1.33096i	0.169980	−	0.985448i	$-0.445630\pi$
$752$	−1.62772	−	0.939764i	−0.0593568	−	0.0342697i
$753$	−8.05842	−	26.7268i	−0.293665	−	0.973977i
$754$	5.74456	−	3.31662i	0.209205	−	0.120784i
$755$	5.56930	−	17.2742i	0.202687	−	0.628673i
$756$	10.6168	−	8.73399i	0.386131	−	0.317652i
$757$			5.63858i			0.204938i	0.994736	+	0.102469i	$0.0326742\pi$
$757$			5.63858i			0.204938i	−0.994736	+	0.102469i	$0.967326\pi$
$758$	11.1168	+	19.2549i	0.403782	+	0.699371i
$759$	30.8614	−	9.30506i	1.12020	−	0.337752i
$760$	5.74456	−	5.19615i	0.208377	−	0.188484i
$761$	−26.4891	−	45.8805i	−0.960230	−	1.66317i	−0.721918	−	0.691979i	$-0.756739\pi$
$761$	−26.4891	−	45.8805i	−0.960230	−	1.66317i	−0.238312	−	0.971189i	$-0.576594\pi$
$762$	−3.00000	−	2.81929i	−0.108679	−	0.102132i
$763$	−4.55842	+	23.6863i	−0.165026	+	0.857500i
$764$		−	3.75906i		−	0.135998i
$765$	42.8397	−	12.0318i	1.54887	−	0.435010i
$766$	−18.0475	−	10.4198i	−0.652084	−	0.376481i
$767$	−4.11684	+	7.13058i	−0.148651	+	0.257470i
$768$	−1.68614	−	0.396143i	−0.0608434	−	0.0142946i
$769$			40.4820i			1.45982i	0.683545	+	0.729909i	$0.260437\pi$
$769$			40.4820i			1.45982i	−0.683545	+	0.729909i	$0.739563\pi$
$770$	−13.0584	−	21.5306i	−0.470593	−	0.775909i
$771$	−10.7446	−	10.0974i	−0.386956	−	0.363647i
$772$	6.94158	−	4.00772i	0.249833	−	0.144241i
$773$	−1.62772	−	0.939764i	−0.0585450	−	0.0338010i	0.470442	−	0.882431i	$-0.344095\pi$
$773$	−1.62772	−	0.939764i	−0.0585450	−	0.0338010i	−0.528987	+	0.848630i	$0.677428\pi$
$774$	14.7446	−	29.6472i	0.529982	−	1.06565i
$775$	−11.8247	−	1.18843i	−0.424757	−	0.0426897i
$776$	2.11684			0.0759903
$777$	48.8614	+	21.8719i	1.75289	+	0.784648i
$778$			34.0511i			1.22079i
$779$	4.88316	−	2.81929i	0.174957	−	0.101012i
$780$	−7.74456	−	0.147477i	−0.277300	−	0.00528052i
$781$	4.00000	−	6.92820i	0.143131	−	0.247911i
$782$	25.1168	−	14.5012i	0.898177	−	0.518562i
$783$	−11.0000	+	13.2665i	−0.393108	+	0.474106i
$784$	−6.50000	−	2.59808i	−0.232143	−	0.0927884i
$785$	−5.48913	+	17.0256i	−0.195915	+	0.607668i
$786$	7.80298	+	1.83324i	0.278323	+	0.0653895i
$787$	−13.5584	+	23.4839i	−0.483306	+	0.837110i	−0.999816	−	0.0191710i	$-0.993897\pi$
$787$	−13.5584	+	23.4839i	−0.483306	+	0.837110i	0.516511	+	0.856281i	$0.327231\pi$
$788$	−10.1168	+	17.5229i	−0.360398	+	0.624227i
$789$	2.74456	+	0.644810i	0.0977090	+	0.0229558i
$790$	−5.56930	+	17.2742i	−0.198147	+	0.614589i
$791$	8.13859	−	2.81929i	0.289375	−	0.100242i
$792$	−12.7446	+	0.792287i	−0.452858	+	0.0281527i
$793$	−4.88316	+	2.81929i	−0.173406	+	0.100116i
$794$	4.00000	−	6.92820i	0.141955	−	0.245873i
$795$	5.31386	+	0.101190i	0.188463	+	0.00358883i
$796$	16.1168	−	9.30506i	0.571246	−	0.329809i
$797$			4.25639i			0.150769i	0.997155	+	0.0753845i	$0.0240184\pi$
$797$			4.25639i			0.150769i	−0.997155	+	0.0753845i	$0.975982\pi$
$798$	−1.62772	−	15.7908i	−0.0576206	−	0.558990i
$799$	−12.4674			−0.441064
$800$	0.500000	−	4.97494i	0.0176777	−	0.175891i
$801$	11.7446	+	5.84096i	0.414974	+	0.206380i
$802$	17.1861	+	9.92242i	0.606864	+	0.350373i
$803$	7.37228	−	4.25639i	0.260162	−	0.150205i
$804$	9.55842	+	8.98266i	0.337100	+	0.316794i
$805$	22.6753	+	12.4468i	0.799198	+	0.438691i
$806$		−	4.75372i		−	0.167443i
$807$	−33.6861	−	7.91425i	−1.18581	−	0.278595i
$808$	8.18614	−	14.1788i	0.287987	−	0.498809i
$809$	−22.0693	−	12.7417i	−0.775915	−	0.447975i	0.0590655	−	0.998254i	$-0.481188\pi$
$809$	−22.0693	−	12.7417i	−0.775915	−	0.447975i	−0.834981	+	0.550279i	$0.814521\pi$
$810$	19.0000	−	6.63325i	0.667592	−	0.233069i
$811$			10.3923i			0.364923i	0.983213	+	0.182462i	$0.0584065\pi$
$811$			10.3923i			0.364923i	−0.983213	+	0.182462i	$0.941593\pi$
$812$	8.61684	+	1.65831i	0.302392	+	0.0581954i
$813$	−26.4891	−	24.8935i	−0.929014	−	0.873054i
$814$	−24.8614	−	43.0612i	−0.871392	−	1.50929i
$815$	−5.74456	+	5.19615i	−0.201223	+	0.182013i
$816$	−11.0000	+	3.31662i	−0.385077	+	0.116105i
$817$	−19.1168	−	33.1113i	−0.668814	−	1.15842i
$818$		−	35.4882i		−	1.24082i
$819$	−9.62772	+	12.6217i	−0.336420	+	0.441038i
$820$	1.11684	−	3.46410i	0.0390019	−	0.120972i
$821$	−18.4307	+	10.6410i	−0.643236	+	0.371372i	−0.785860	−	0.618404i	$-0.787779\pi$
$821$	−18.4307	+	10.6410i	−0.643236	+	0.371372i	0.142624	+	0.989777i	$0.454446\pi$
$822$	1.37228	+	4.55134i	0.0478638	+	0.158746i
$823$	37.6753	+	21.7518i	1.31328	+	0.758221i	0.982637	−	0.185536i	$-0.0594022\pi$
$823$	37.6753	+	21.7518i	1.31328	+	0.758221i	0.330640	+	0.943757i	$0.392735\pi$
$824$	7.55842	+	13.0916i	0.263310	+	0.456066i
$825$	−7.05842	−	36.1793i	−0.245743	−	1.25960i
$826$	−10.2921	+	3.56529i	−0.358108	+	0.124052i
$827$	−33.0000			−1.14752			−0.573761	−	0.819023i	$-0.694516\pi$
$827$	−33.0000			−1.14752			−0.573761	+	0.819023i	$0.694516\pi$
$828$	10.9307	−	7.25061i	0.379868	−	0.251976i
$829$	−16.1168	−	9.30506i	−0.559761	−	0.323178i	0.193288	−	0.981142i	$-0.438085\pi$
$829$	−16.1168	−	9.30506i	−0.559761	−	0.323178i	−0.753050	+	0.657964i	$0.771418\pi$
$830$	−2.38316	+	2.15565i	−0.0827206	+	0.0748236i
$831$	−11.4891	+	48.9022i	−0.398553	+	1.69640i
$832$	2.00000			0.0693375
$833$	−45.9565	+	6.63325i	−1.59230	+	0.229828i
$834$	−14.7446	−	13.8564i	−0.510562	−	0.479808i
$835$	−5.32473	−	24.7735i	−0.184270	−	0.857322i
$836$	−7.37228	+	12.7692i	−0.254976	+	0.441631i
$837$	4.29211	+	11.5807i	0.148357	+	0.400289i
$838$	14.7446	+	25.5383i	0.509342	+	0.882207i
$839$	−1.72281			−0.0594781			−0.0297391	−	0.999558i	$-0.509468\pi$
$839$	−1.72281			−0.0594781			−0.0297391	+	0.999558i	$0.509468\pi$
$840$	−7.61684	−	6.85446i	−0.262806	−	0.236502i
$841$	18.0000			0.620690
$842$	7.55842	+	13.0916i	0.260480	+	0.451165i
$843$	−36.1168	+	10.8896i	−1.24393	+	0.375059i
$844$	9.11684	−	15.7908i	0.313815	−	0.543543i
$845$	−19.6753	+	4.22894i	−0.676850	+	0.145480i
$846$	−5.62772	+	0.349857i	−0.193485	+	0.0120283i
$847$	14.2337	+	12.3267i	0.489075	+	0.423552i
$848$	−1.37228			−0.0471243
$849$	26.9783	+	6.33830i	0.925891	+	0.217530i
$850$	−13.6277	−	30.2372i	−0.467427	−	1.03713i
$851$	44.2337	+	25.5383i	1.51631	+	0.875443i
$852$	0.744563	−	3.16915i	0.0255083	−	0.108573i
$853$	30.4674			1.04318			0.521592	−	0.853195i	$-0.325339\pi$
$853$	30.4674			1.04318			0.521592	+	0.853195i	$0.325339\pi$
$854$	−7.32473	−	1.40965i	−0.250647	−	0.0482371i
$855$	5.74456	−	22.5167i	0.196460	−	0.770054i
$856$	−8.87228	−	15.3672i	−0.303248	−	0.525242i
$857$	−32.7446	−	18.9051i	−1.11853	−	0.645785i	−0.177507	−	0.984120i	$-0.556803\pi$
$857$	−32.7446	−	18.9051i	−1.11853	−	0.645785i	−0.941026	+	0.338334i	$0.890137\pi$
$858$	14.1168	−	4.25639i	0.481941	−	0.145311i
$859$	28.4674	−	16.4356i	0.971294	−	0.560777i	0.0716637	−	0.997429i	$-0.477169\pi$
$859$	28.4674	−	16.4356i	0.971294	−	0.560777i	0.899631	+	0.436652i	$0.143836\pi$
$860$	−23.4891	−	7.57301i	−0.800973	−	0.258238i
$861$	−4.37228	−	6.04334i	−0.149007	−	0.205957i
$862$			3.75906i			0.128034i
$863$	3.81386	+	6.60580i	0.129825	+	0.224864i	0.923609	−	0.383336i	$-0.125225\pi$
$863$	3.81386	+	6.60580i	0.129825	+	0.224864i	−0.793783	+	0.608200i	$0.791892\pi$
$864$	−4.87228	+	1.80579i	−0.165758	+	0.0614342i
$865$	−6.23369	+	5.63858i	−0.211952	+	0.191718i
$866$	−17.0000	−	29.4449i	−0.577684	−	1.00058i
$867$	−32.0258	+	34.0786i	−1.08765	+	1.15737i
$868$	4.11684	−	4.75372i	0.139735	−	0.161352i
$869$		−	34.5484i		−	1.17198i
$870$	11.0000	+	6.63325i	0.372935	+	0.224888i
$871$	−13.1168	−	7.57301i	−0.444447	−	0.256602i
$872$	4.55842	−	7.89542i	0.154368	−	0.267373i
$873$	5.29211	−	3.51039i	0.179111	−	0.118809i
$874$		−	15.1460i		−	0.512322i
$875$	16.7554	−	24.3774i	0.566437	−	0.824105i
$876$	2.37228	−	2.52434i	0.0801520	−	0.0852895i
$877$	−27.3505	+	15.7908i	−0.923562	+	0.533219i	−0.884770	−	0.466029i	$-0.845684\pi$
$877$	−27.3505	+	15.7908i	−0.923562	+	0.533219i	−0.0387922	+	0.999247i	$0.512351\pi$
$878$	−11.0584	−	6.38458i	−0.373204	−	0.215469i
$879$	−41.5258	+	12.5205i	−1.40063	+	0.422306i
$880$	2.00000	+	9.30506i	0.0674200	+	0.313674i
$881$	51.3505			1.73004			0.865022	−	0.501734i	$-0.167305\pi$
$881$	51.3505			1.73004			0.865022	+	0.501734i	$0.167305\pi$
$882$	−20.5584	+	4.28384i	−0.692238	+	0.144244i
$883$		−	54.9455i		−	1.84906i	−0.381104	−	0.924532i	$-0.624456\pi$
$883$		−	54.9455i		−	1.84906i	0.381104	−	0.924532i	$-0.375544\pi$
$884$	11.4891	−	6.63325i	0.386421	−	0.223100i
$885$	−15.9416	−	0.303570i	−0.535870	−	0.0102044i
$886$	−4.50000	+	7.79423i	−0.151180	+	0.261852i
$887$	47.5367	−	27.4453i	1.59613	−	0.921523i	0.603901	−	0.797059i	$-0.293612\pi$
$887$	47.5367	−	27.4453i	1.59613	−	0.921523i	0.992224	−	0.124464i	$-0.0397212\pi$
$888$	−14.7446	−	13.8564i	−0.494795	−	0.464991i
$889$	2.05842	+	5.94215i	0.0690373	+	0.199293i
$890$	3.00000	−	9.30506i	0.100560	−	0.311906i
$891$	−30.5475	+	23.1152i	−1.02338	+	0.774388i
$892$	−9.05842	+	15.6896i	−0.303298	+	0.525328i
$893$	−3.25544	+	5.63858i	−0.108939	+	0.188688i
$894$	−5.62772	+	23.9538i	−0.188219	+	0.801133i
$895$	6.11684	+	1.97210i	0.204464	+	0.0659201i
$896$	2.00000	+	1.73205i	0.0668153	+	0.0578638i
$897$	−10.3723	+	11.0371i	−0.346320	+	0.368519i
$898$	31.1644	−	17.9928i	1.03997	−	0.600427i
$899$	−3.94158	+	6.82701i	−0.131459	+	0.227694i
$900$	−7.00000	−	13.2665i	−0.233333	−	0.442217i
$901$	−7.88316	+	4.55134i	−0.262626	+	0.151627i
$902$			6.92820i			0.230684i
$903$	−40.9783	+	29.6472i	−1.36367	+	0.986598i
$904$	−3.25544			−0.108274
$905$	−8.44158	−	39.2747i	−0.280608	−	1.30554i
$906$	4.05842	+	13.4603i	0.134832	+	0.447187i
$907$	−38.7921	−	22.3966i	−1.28807	−	0.743668i	−0.309761	−	0.950814i	$-0.600249\pi$
$907$	−38.7921	−	22.3966i	−1.28807	−	0.743668i	−0.978310	+	0.207146i	$0.933582\pi$
$908$	−13.5475	+	7.82168i	−0.449591	+	0.259572i
$909$	−3.04755	−	49.0222i	−0.101081	−	1.62596i
$910$	10.3723	+	5.69349i	0.343838	+	0.188737i
$911$		−	24.5437i		−	0.813168i	−0.913613	−	0.406584i	$-0.866720\pi$
$911$		−	24.5437i		−	0.813168i	0.913613	−	0.406584i	$-0.133280\pi$
$912$	−1.37228	+	5.84096i	−0.0454408	+	0.193414i
$913$	3.05842	−	5.29734i	0.101219	−	0.175316i
$914$	11.0584	+	6.38458i	0.365780	+	0.211183i
$915$	−9.35053	−	5.63858i	−0.309119	−	0.186406i
$916$			13.8564i			0.457829i
$917$	−9.25544	−	8.01544i	−0.305641	−	0.264693i
$918$	−22.0000	+	26.5330i	−0.726108	+	0.875719i
$919$	9.11684	+	15.7908i	0.300737	+	0.520892i	0.976303	−	0.216408i	$-0.0694341\pi$
$919$	9.11684	+	15.7908i	0.300737	+	0.520892i	−0.675566	+	0.737299i	$0.736101\pi$
$920$	−6.55842	−	7.25061i	−0.216225	−	0.239045i
$921$	3.44158	+	11.4144i	0.113404	+	0.376118i
$922$	0.255437	+	0.442430i	0.00841238	+	0.0145707i
$923$			3.75906i			0.123731i
$924$	17.8030	+	7.96916i	0.585675	+	0.262166i
$925$	34.1168	−	47.4102i	1.12175	−	1.55884i
$926$	31.6753	−	18.2877i	1.04091	−	0.600972i
$927$	40.6060	+	20.1947i	1.33368	+	0.663281i
$928$	−2.87228	−	1.65831i	−0.0942873	−	0.0544368i
$929$	8.44158	+	14.6212i	0.276959	+	0.479707i	0.970628	−	0.240587i	$-0.0773400\pi$
$929$	8.44158	+	14.6212i	0.276959	+	0.479707i	−0.693668	+	0.720295i	$0.744007\pi$
$930$	8.05842	−	4.45015i	0.264246	−	0.145926i
$931$	−9.00000	+	22.5167i	−0.294963	+	0.737954i
$932$	23.4891			0.769412
$933$	24.0000	+	5.63858i	0.785725	+	0.184599i
$934$	−0.0475473	−	0.0274514i	−0.00155579	−	0.000898238i
$935$	42.3505	+	46.8203i	1.38501	+	1.53119i
$936$	5.00000	−	3.31662i	0.163430	−	0.108407i
$937$	50.3505			1.64488			0.822440	−	0.568852i	$-0.192612\pi$
$937$	50.3505			1.64488			0.822440	+	0.568852i	$0.192612\pi$
$938$	−6.55842	−	18.9325i	−0.214140	−	0.618169i
$939$	−16.7446	+	17.8178i	−0.546438	+	0.581463i
$940$	0.883156	+	4.10891i	0.0288054	+	0.134018i
$941$	−12.1753	+	21.0882i	−0.396902	+	0.687455i	−0.993342	−	0.115203i	$-0.963248\pi$
$941$	−12.1753	+	21.0882i	−0.396902	+	0.687455i	0.596440	+	0.802658i	$0.296582\pi$
$942$	−4.00000	−	13.2665i	−0.130327	−	0.432246i
$943$	−3.55842	−	6.16337i	−0.115878	−	0.200707i
$944$	4.11684			0.133992
$945$	−30.4090	−	4.50506i	−0.989203	−	0.146549i
$946$	46.9783			1.52739
$947$	21.5584	+	37.3403i	0.700555	+	1.21340i	0.968272	+	0.249899i	$0.0803973\pi$
$947$	21.5584	+	37.3403i	0.700555	+	1.21340i	−0.267717	+	0.963497i	$0.586269\pi$
$948$	−4.05842	−	13.4603i	−0.131811	−	0.437169i
$949$	−2.00000	+	3.46410i	−0.0649227	+	0.112449i
$950$	−17.2337	−	1.73205i	−0.559135	−	0.0561951i
$951$	−19.1168	+	20.3422i	−0.619906	+	0.659640i
$952$	17.2337	+	3.31662i	0.558547	+	0.107492i
$953$	48.0000			1.55487			0.777436	−	0.628962i	$-0.216520\pi$
$953$	48.0000			1.55487			0.777436	+	0.628962i	$0.216520\pi$
$954$	−3.43070	+	2.27567i	−0.111073	+	0.0736776i
$955$	−6.23369	+	5.63858i	−0.201717	+	0.182460i
$956$	2.48913	+	1.43710i	0.0805041	+	0.0464790i
$957$	−23.8030	−	5.59230i	−0.769441	−	0.180773i
$958$	8.74456			0.282524
$959$	1.37228	−	7.13058i	0.0443133	−	0.230259i
$960$	1.87228	+	3.39036i	0.0604276	+	0.109424i
$961$	−12.6753	−	21.9542i	−0.408880	−	0.708200i
$962$	20.2337	+	11.6819i	0.652360	+	0.376640i
$963$	−47.6644	−	23.7051i	−1.53596	−	0.763886i
$964$	−9.17527	+	5.29734i	−0.295515	+	0.170616i
$965$	−17.0584	−	5.49972i	−0.549130	−	0.177042i
$966$	−19.9307	+	2.05446i	−0.641260	+	0.0661010i
$967$			51.9239i			1.66976i	0.550433	+	0.834879i	$0.314463\pi$
$967$			51.9239i			1.66976i	−0.550433	+	0.834879i	$0.685537\pi$
$968$	−3.55842	−	6.16337i	−0.114372	−	0.198098i
$969$	11.4891	+	38.1051i	0.369084	+	1.22411i
$970$	−3.17527	−	3.51039i	−0.101952	−	0.112712i
$971$	14.3139	+	24.7923i	0.459354	+	0.795624i	0.998927	−	0.0463149i	$-0.0147478\pi$
$971$	14.3139	+	24.7923i	0.459354	+	0.795624i	−0.539573	+	0.841939i	$0.681414\pi$
$972$	−9.18614	+	12.5942i	−0.294646	+	0.403960i
$973$	10.1168	+	29.2048i	0.324331	+	0.936263i
$974$			4.55134i			0.145834i
$975$	11.3723	+	13.0641i	0.364204	+	0.418387i
$976$	2.44158	+	1.40965i	0.0781530	+	0.0451217i
$977$	−20.2337	+	35.0458i	−0.647333	+	1.12121i	0.336424	+	0.941710i	$0.390782\pi$
$977$	−20.2337	+	35.0458i	−0.647333	+	1.12121i	−0.983757	+	0.179503i	$0.942551\pi$
$978$	1.37228	−	5.84096i	0.0438807	−	0.186773i
$979$			18.6101i			0.594782i
$980$	5.44158	+	14.6761i	0.173825	+	0.468812i
$981$	−1.69702	−	27.2978i	−0.0541815	−	0.871553i
$982$	23.3139	−	13.4603i	0.743975	−	0.429534i
$983$	18.8139	+	10.8622i	0.600069	+	0.346450i	0.769069	−	0.639166i	$-0.220720\pi$
$983$	18.8139	+	10.8622i	0.600069	+	0.346450i	−0.169000	+	0.985616i	$0.554054\pi$
$984$	0.813859	+	2.69927i	0.0259449	+	0.0860495i
$985$	44.2337	−	9.50744i	1.40940	−	0.302932i
$986$	−22.0000			−0.700623
$987$	7.86141	+	3.51900i	0.250231	+	0.112011i
$988$		−	6.92820i		−	0.220416i
$989$	−41.7921	+	24.1287i	−1.32891	+	0.767248i
$990$	20.4307	+	19.9460i	0.649330	+	0.633927i
$991$	14.1753	−	24.5523i	0.450292	−	0.779929i	−0.548112	−	0.836405i	$-0.684653\pi$
$991$	14.1753	−	24.5523i	0.450292	−	0.779929i	0.998404	+	0.0564762i	$0.0179865\pi$
$992$	−2.05842	+	1.18843i	−0.0653550	+	0.0377327i
$993$	12.1386	−	12.9166i	0.385207	−	0.409897i
$994$	−3.25544	+	3.75906i	−0.103256	+	0.119230i
$995$	−39.6060	−	12.7692i	−1.25559	−	0.404810i
$996$	0.569297	−	2.42315i	0.0180389	−	0.0767804i
$997$	−15.2337	+	26.3855i	−0.482456	+	0.835638i	−0.999797	−	0.0201413i	$-0.993588\pi$
$997$	−15.2337	+	26.3855i	−0.482456	+	0.835638i	0.517341	+	0.855779i	$0.326922\pi$
$998$	14.1168	−	24.4511i	0.446861	−	0.773986i
$999$	−59.8397	−	10.1899i	−1.89324	−	0.322395i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	210.2.t.d.59.2	yes	4
3.2	odd	2		210.2.t.b.59.1	yes	4
5.2	odd	4		1050.2.s.e.101.2		8
5.3	odd	4		1050.2.s.e.101.3		8
5.4	even	2		210.2.t.a.59.1	✓	4
7.3	odd	6		1470.2.d.b.1469.2		4
7.4	even	3		1470.2.d.a.1469.3		4
7.5	odd	6		210.2.t.c.89.2	yes	4
15.2	even	4		1050.2.s.d.101.4		8
15.8	even	4		1050.2.s.d.101.1		8
15.14	odd	2		210.2.t.c.59.2	yes	4
21.5	even	6		210.2.t.a.89.2	yes	4
21.11	odd	6		1470.2.d.c.1469.4		4
21.17	even	6		1470.2.d.d.1469.1		4
35.4	even	6		1470.2.d.d.1469.2		4
35.12	even	12		1050.2.s.d.551.4		8
35.19	odd	6		210.2.t.b.89.1	yes	4
35.24	odd	6		1470.2.d.c.1469.3		4
35.33	even	12		1050.2.s.d.551.1		8
105.47	odd	12		1050.2.s.e.551.2		8
105.59	even	6		1470.2.d.a.1469.4		4
105.68	odd	12		1050.2.s.e.551.3		8
105.74	odd	6		1470.2.d.b.1469.1		4
105.89	even	6	inner	210.2.t.d.89.1	yes	4

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
210.2.t.a.59.1	✓	4	5.4	even	2
210.2.t.a.89.2	yes	4	21.5	even	6
210.2.t.b.59.1	yes	4	3.2	odd	2
210.2.t.b.89.1	yes	4	35.19	odd	6
210.2.t.c.59.2	yes	4	15.14	odd	2
210.2.t.c.89.2	yes	4	7.5	odd	6
210.2.t.d.59.2	yes	4	1.1	even	1	trivial
210.2.t.d.89.1	yes	4	105.89	even	6	inner
1050.2.s.d.101.1		8	15.8	even	4
1050.2.s.d.101.4		8	15.2	even	4
1050.2.s.d.551.1		8	35.33	even	12
1050.2.s.d.551.4		8	35.12	even	12
1050.2.s.e.101.2		8	5.2	odd	4
1050.2.s.e.101.3		8	5.3	odd	4
1050.2.s.e.551.2		8	105.47	odd	12
1050.2.s.e.551.3		8	105.68	odd	12
1470.2.d.a.1469.3		4	7.4	even	3
1470.2.d.a.1469.4		4	105.59	even	6
1470.2.d.b.1469.1		4	105.74	odd	6
1470.2.d.b.1469.2		4	7.3	odd	6
1470.2.d.c.1469.3		4	35.24	odd	6
1470.2.d.c.1469.4		4	21.11	odd	6
1470.2.d.d.1469.1		4	21.17	even	6
1470.2.d.d.1469.2		4	35.4	even	6

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	210.t (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.500000 + 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.18614 - 0.469882i) q^{5} +(-1.18614 + 1.26217i) q^{6} +(2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +O(q^{10})\)	\(q+(0.500000 + 0.866025i) q^{2} +(0.500000 + 1.65831i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(2.18614 - 0.469882i) q^{5} +(-1.18614 + 1.26217i) q^{6} +(2.50000 - 0.866025i) q^{7} -1.00000 q^{8} +(-2.50000 + 1.65831i) q^{9} +(1.50000 + 1.65831i) q^{10} +(-3.68614 - 2.12819i) q^{11} +(-1.68614 - 0.396143i) q^{12} +2.00000 q^{13} +(2.00000 + 1.73205i) q^{14} +(1.87228 + 3.39036i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-5.74456 - 3.31662i) q^{17} +(-2.68614 - 1.33591i) q^{18} +(-3.00000 + 1.73205i) q^{19} +(-0.686141 + 2.12819i) q^{20} +(2.68614 + 3.71277i) q^{21} -4.25639i q^{22} +(2.18614 + 3.78651i) q^{23} +(-0.500000 - 1.65831i) q^{24} +(4.55842 - 2.05446i) q^{25} +(1.00000 + 1.73205i) q^{26} +(-4.00000 - 3.31662i) q^{27} +(-0.500000 + 2.59808i) q^{28} -3.31662i q^{29} +(-2.00000 + 3.31662i) q^{30} +(-2.05842 - 1.18843i) q^{31} +(0.500000 - 0.866025i) q^{32} +(1.68614 - 7.17687i) q^{33} -6.63325i q^{34} +(5.05842 - 3.06796i) q^{35} +(-0.186141 - 2.99422i) q^{36} +(10.1168 - 5.84096i) q^{37} +(-3.00000 - 1.73205i) q^{38} +(1.00000 + 3.31662i) q^{39} +(-2.18614 + 0.469882i) q^{40} -1.62772 q^{41} +(-1.87228 + 4.18265i) q^{42} +11.0371i q^{43} +(3.68614 - 2.12819i) q^{44} +(-4.68614 + 4.80001i) q^{45} +(-2.18614 + 3.78651i) q^{46} +(1.62772 - 0.939764i) q^{47} +(1.18614 - 1.26217i) q^{48} +(5.50000 - 4.33013i) q^{49} +(4.05842 + 2.92048i) q^{50} +(2.62772 - 11.1846i) q^{51} +(-1.00000 + 1.73205i) q^{52} +(0.686141 - 1.18843i) q^{53} +(0.872281 - 5.12241i) q^{54} +(-9.05842 - 2.92048i) q^{55} +(-2.50000 + 0.866025i) q^{56} +(-4.37228 - 4.10891i) q^{57} +(2.87228 - 1.65831i) q^{58} +(-2.05842 + 3.56529i) q^{59} +(-3.87228 - 0.0737384i) q^{60} +(-2.44158 + 1.40965i) q^{61} -2.37686i q^{62} +(-4.81386 + 6.31084i) q^{63} +1.00000 q^{64} +(4.37228 - 0.939764i) q^{65} +(7.05842 - 2.12819i) q^{66} +(-6.55842 - 3.78651i) q^{67} +(5.74456 - 3.31662i) q^{68} +(-5.18614 + 5.51856i) q^{69} +(5.18614 + 2.84674i) q^{70} +1.87953i q^{71} +(2.50000 - 1.65831i) q^{72} +(-1.00000 + 1.73205i) q^{73} +(10.1168 + 5.84096i) q^{74} +(5.68614 + 6.53206i) q^{75} -3.46410i q^{76} +(-11.0584 - 2.12819i) q^{77} +(-2.37228 + 2.52434i) q^{78} +(4.05842 + 7.02939i) q^{79} +(-1.50000 - 1.65831i) q^{80} +(3.50000 - 8.29156i) q^{81} +(-0.813859 - 1.40965i) q^{82} +1.43710i q^{83} +(-4.55842 + 0.469882i) q^{84} +(-14.1168 - 4.55134i) q^{85} +(-9.55842 + 5.51856i) q^{86} +(5.50000 - 1.65831i) q^{87} +(3.68614 + 2.12819i) q^{88} +(-2.18614 - 3.78651i) q^{89} +(-6.50000 - 1.65831i) q^{90} +(5.00000 - 1.73205i) q^{91} -4.37228 q^{92} +(0.941578 - 4.00772i) q^{93} +(1.62772 + 0.939764i) q^{94} +(-5.74456 + 5.19615i) q^{95} +(1.68614 + 0.396143i) q^{96} -2.11684 q^{97} +(6.50000 + 2.59808i) q^{98} +(12.7446 - 0.792287i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9}+O(q^{10}) \) 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9	\( 4 q + 2 q^{2} + 2 q^{3} - 2 q^{4} + 3 q^{5} + q^{6} + 10 q^{7} - 4 q^{8} - 10 q^{9} + 6 q^{10} - 9 q^{11} - q^{12} + 8 q^{13} + 8 q^{14} - 4 q^{15} - 2 q^{16} - 5 q^{18} - 12 q^{19} + 3 q^{20} + 5 q^{21} + 3 q^{23} - 2 q^{24} + q^{25} + 4 q^{26} - 16 q^{27} - 2 q^{28} - 8 q^{30} + 9 q^{31} + 2 q^{32} + q^{33} + 3 q^{35} + 5 q^{36} + 6 q^{37} - 12 q^{38} + 4 q^{39} - 3 q^{40} - 18 q^{41} + 4 q^{42} + 9 q^{44} - 13 q^{45} - 3 q^{46} + 18 q^{47} - q^{48} + 22 q^{49} - q^{50} + 22 q^{51} - 4 q^{52} - 3 q^{53} - 8 q^{54} - 19 q^{55} - 10 q^{56} - 6 q^{57} + 9 q^{59} - 4 q^{60} - 27 q^{61} - 25 q^{63} + 4 q^{64} + 6 q^{65} + 11 q^{66} - 9 q^{67} - 15 q^{69} + 15 q^{70} + 10 q^{72} - 4 q^{73} + 6 q^{74} + 17 q^{75} - 27 q^{77} + 2 q^{78} - q^{79} - 6 q^{80} + 14 q^{81} - 9 q^{82} - q^{84} - 22 q^{85} - 21 q^{86} + 22 q^{87} + 9 q^{88} - 3 q^{89} - 26 q^{90} + 20 q^{91} - 6 q^{92} + 21 q^{93} + 18 q^{94} + q^{96} + 26 q^{97} + 26 q^{98} + 28 q^{99}+O(q^{100}) \) 4 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 + 3 * q^5 + q^6 + 10 * q^7 - 4 * q^8 - 10 * q^9 + 6 * q^10 - 9 * q^11 - q^12 + 8 * q^13 + 8 * q^14 - 4 * q^15 - 2 * q^16 - 5 * q^18 - 12 * q^19 + 3 * q^20 + 5 * q^21 + 3 * q^23 - 2 * q^24 + q^25 + 4 * q^26 - 16 * q^27 - 2 * q^28 - 8 * q^30 + 9 * q^31 + 2 * q^32 + q^33 + 3 * q^35 + 5 * q^36 + 6 * q^37 - 12 * q^38 + 4 * q^39 - 3 * q^40 - 18 * q^41 + 4 * q^42 + 9 * q^44 - 13 * q^45 - 3 * q^46 + 18 * q^47 - q^48 + 22 * q^49 - q^50 + 22 * q^51 - 4 * q^52 - 3 * q^53 - 8 * q^54 - 19 * q^55 - 10 * q^56 - 6 * q^57 + 9 * q^59 - 4 * q^60 - 27 * q^61 - 25 * q^63 + 4 * q^64 + 6 * q^65 + 11 * q^66 - 9 * q^67 - 15 * q^69 + 15 * q^70 + 10 * q^72 - 4 * q^73 + 6 * q^74 + 17 * q^75 - 27 * q^77 + 2 * q^78 - q^79 - 6 * q^80 + 14 * q^81 - 9 * q^82 - q^84 - 22 * q^85 - 21 * q^86 + 22 * q^87 + 9 * q^88 - 3 * q^89 - 26 * q^90 + 20 * q^91 - 6 * q^92 + 21 * q^93 + 18 * q^94 + q^96 + 26 * q^97 + 26 * q^98 + 28 * q^99

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