LMFDB - Embedded newform 370.2.q.e.267.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(97,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 5]))

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

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

chi := DirichletCharacter("370.97");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.q (of order $12$, degree $4$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{12})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 $ x^16 - 4x^15 + 12x^14 - 48x^13 + 67x^12 - 24x^11 + 118x^10 - 176x^9 + 351x^8 - 180x^7 + 358x^6 - 336x^5 + 390x^4 - 344x^3 + 164x^2 - 40*x + 4
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			267.3
Root			$2.69978 - 0.355433i$ of defining polynomial
Character	$\chi$	$=$	370.267
Dual form			370.2.q.e.273.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.866025i) q^{2} +(0.465926 - 0.124844i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.23248 + 0.126648i) q^{5} +(-0.341081 - 0.341081i) q^{6} +(1.90503 - 0.510450i) q^{7} +1.00000 q^{8} +(-2.39658 + 1.38366i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.866025i) q^{2} +(0.465926 - 0.124844i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.23248 + 0.126648i) q^{5} +(-0.341081 - 0.341081i) q^{6} +(1.90503 - 0.510450i) q^{7} +1.00000 q^{8} +(-2.39658 + 1.38366i) q^{9} +(1.22592 + 1.87006i) q^{10} -5.36697i q^{11} +(-0.124844 + 0.465926i) q^{12} +(3.28251 - 5.68547i) q^{13} +(-1.39458 - 1.39458i) q^{14} +(-1.02436 + 0.337721i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-3.27460 + 1.89059i) q^{17} +(2.39658 + 1.38366i) q^{18} +(-1.79370 - 6.69417i) q^{19} +(1.00656 - 1.99671i) q^{20} +(0.823874 - 0.475664i) q^{21} +(-4.64793 + 2.68348i) q^{22} -4.59101 q^{23} +(0.465926 - 0.124844i) q^{24} +(4.96792 - 0.565478i) q^{25} -6.56502 q^{26} +(-1.96713 + 1.96713i) q^{27} +(-0.510450 + 1.90503i) q^{28} +(3.86934 + 3.86934i) q^{29} +(0.804654 + 0.718260i) q^{30} +(4.40372 - 4.40372i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.670036 - 2.50061i) q^{33} +(3.27460 + 1.89059i) q^{34} +(-4.18828 + 1.38084i) q^{35} -2.76733i q^{36} +(-6.05437 + 0.586988i) q^{37} +(-4.90047 + 4.90047i) q^{38} +(0.819606 - 3.05881i) q^{39} +(-2.23248 + 0.126648i) q^{40} +(3.09785 + 1.78854i) q^{41} +(-0.823874 - 0.475664i) q^{42} +3.24741 q^{43} +(4.64793 + 2.68348i) q^{44} +(5.17507 - 3.39252i) q^{45} +(2.29550 + 3.97593i) q^{46} +(2.56542 + 2.56542i) q^{47} +(-0.341081 - 0.341081i) q^{48} +(-2.69361 + 1.55516i) q^{49} +(-2.97368 - 4.01961i) q^{50} +(-1.28969 + 1.28969i) q^{51} +(3.28251 + 5.68547i) q^{52} +(-6.08055 - 1.62928i) q^{53} +(2.68715 + 0.720019i) q^{54} +(0.679715 + 11.9816i) q^{55} +(1.90503 - 0.510450i) q^{56} +(-1.67146 - 2.89505i) q^{57} +(1.41628 - 5.28562i) q^{58} +(4.19024 + 1.12277i) q^{59} +(0.219704 - 1.05598i) q^{60} +(-3.33371 - 12.4416i) q^{61} +(-6.01559 - 1.61187i) q^{62} +(-3.85925 + 3.85925i) q^{63} +1.00000 q^{64} +(-6.60808 + 13.1084i) q^{65} +(-1.83057 + 1.83057i) q^{66} +(1.30482 + 4.86964i) q^{67} -3.78118i q^{68} +(-2.13907 + 0.573162i) q^{69} +(3.28998 + 2.93674i) q^{70} +(3.00672 - 5.20780i) q^{71} +(-2.39658 + 1.38366i) q^{72} +(6.42799 + 6.42799i) q^{73} +(3.53553 + 4.94975i) q^{74} +(2.24409 - 0.883688i) q^{75} +(6.69417 + 1.79370i) q^{76} +(-2.73957 - 10.2242i) q^{77} +(-3.05881 + 0.819606i) q^{78} +(1.70817 + 6.37497i) q^{79} +(1.22592 + 1.87006i) q^{80} +(3.48004 - 6.02761i) q^{81} -3.57709i q^{82} +(5.79235 + 1.55206i) q^{83} +0.951328i q^{84} +(7.07103 - 4.63542i) q^{85} +(-1.62370 - 2.81234i) q^{86} +(2.28589 + 1.31976i) q^{87} -5.36697i q^{88} +(4.07258 - 15.1991i) q^{89} +(-5.52554 - 2.78548i) q^{90} +(3.35112 - 12.5065i) q^{91} +(2.29550 - 3.97593i) q^{92} +(1.50203 - 2.60158i) q^{93} +(0.939010 - 3.50443i) q^{94} +(4.85220 + 14.7174i) q^{95} +(-0.124844 + 0.465926i) q^{96} -0.635573i q^{97} +(2.69361 + 1.55516i) q^{98} +(7.42608 + 12.8623i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9}+O(q^{10}) $ 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9	$ 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9} - 4 q^{10} + 16 q^{12} - 4 q^{13} + 8 q^{15} - 8 q^{16} + 24 q^{18} - 24 q^{19} + 8 q^{20} - 12 q^{21} - 8 q^{23} - 8 q^{24} + 32 q^{25} + 8 q^{26} + 16 q^{27} + 16 q^{29} - 4 q^{30} + 24 q^{31} - 8 q^{32} + 12 q^{33} - 20 q^{35} - 4 q^{40} - 36 q^{41} + 12 q^{42} - 16 q^{43} + 4 q^{45} + 4 q^{46} + 32 q^{47} - 8 q^{48} + 24 q^{49} - 16 q^{50} - 16 q^{51} - 4 q^{52} - 48 q^{53} - 8 q^{54} - 24 q^{55} + 20 q^{57} - 8 q^{58} - 8 q^{59} - 4 q^{60} + 8 q^{61} - 12 q^{62} + 16 q^{63} + 16 q^{64} + 24 q^{65} - 24 q^{66} - 8 q^{67} - 8 q^{69} + 28 q^{70} + 4 q^{71} - 24 q^{72} + 48 q^{73} - 36 q^{75} + 24 q^{76} - 60 q^{77} + 20 q^{79} - 4 q^{80} + 16 q^{81} + 24 q^{83} + 8 q^{85} + 8 q^{86} + 12 q^{87} - 8 q^{89} - 8 q^{90} - 8 q^{91} + 4 q^{92} + 36 q^{93} - 28 q^{94} + 28 q^{95} + 16 q^{96} - 24 q^{98} + 8 q^{99}+O(q^{100}) $ 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9 - 4 * q^10 + 16 * q^12 - 4 * q^13 + 8 * q^15 - 8 * q^16 + 24 * q^18 - 24 * q^19 + 8 * q^20 - 12 * q^21 - 8 * q^23 - 8 * q^24 + 32 * q^25 + 8 * q^26 + 16 * q^27 + 16 * q^29 - 4 * q^30 + 24 * q^31 - 8 * q^32 + 12 * q^33 - 20 * q^35 - 4 * q^40 - 36 * q^41 + 12 * q^42 - 16 * q^43 + 4 * q^45 + 4 * q^46 + 32 * q^47 - 8 * q^48 + 24 * q^49 - 16 * q^50 - 16 * q^51 - 4 * q^52 - 48 * q^53 - 8 * q^54 - 24 * q^55 + 20 * q^57 - 8 * q^58 - 8 * q^59 - 4 * q^60 + 8 * q^61 - 12 * q^62 + 16 * q^63 + 16 * q^64 + 24 * q^65 - 24 * q^66 - 8 * q^67 - 8 * q^69 + 28 * q^70 + 4 * q^71 - 24 * q^72 + 48 * q^73 - 36 * q^75 + 24 * q^76 - 60 * q^77 + 20 * q^79 - 4 * q^80 + 16 * q^81 + 24 * q^83 + 8 * q^85 + 8 * q^86 + 12 * q^87 - 8 * q^89 - 8 * q^90 - 8 * q^91 + 4 * q^92 + 36 * q^93 - 28 * q^94 + 28 * q^95 + 16 * q^96 - 24 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{4}\right)$

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
$3$	0.465926	−	0.124844i	0.269002	−	0.0720790i	−0.121796	−	0.992555i	$-0.538865\pi$
$3$	0.465926	−	0.124844i	0.269002	−	0.0720790i	0.390799	+	0.920476i	$0.372199\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	−2.23248	+	0.126648i	−0.998395	+	0.0566387i
$5$	−2.23248	+	0.126648i	−0.998395	+	0.0566387i
$6$	−0.341081	−	0.341081i	−0.139246	−	0.139246i
$7$	1.90503	−	0.510450i	0.720032	−	0.192932i	0.119846	−	0.992792i	$-0.461760\pi$
$7$	1.90503	−	0.510450i	0.720032	−	0.192932i	0.600186	+	0.799860i	$0.295093\pi$
$8$	1.00000			0.353553
$9$	−2.39658	+	1.38366i	−0.798858	+	0.461221i
$10$	1.22592	+	1.87006i	0.387670	+	0.591365i
$11$		−	5.36697i		−	1.61820i	−0.587670	−	0.809101i	$-0.699955\pi$
$11$		−	5.36697i		−	1.61820i	0.587670	−	0.809101i	$-0.300045\pi$
$12$	−0.124844	+	0.465926i	−0.0360395	+	0.134501i
$13$	3.28251	−	5.68547i	0.910404	−	1.57687i	0.0969097	−	0.995293i	$-0.469104\pi$
$13$	3.28251	−	5.68547i	0.910404	−	1.57687i	0.813494	−	0.581573i	$-0.197562\pi$
$14$	−1.39458	−	1.39458i	−0.372716	−	0.372716i
$15$	−1.02436	+	0.337721i	−0.264488	+	0.0871992i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	−3.27460	+	1.89059i	−0.794207	+	0.458535i	−0.841441	−	0.540348i	$-0.818292\pi$
$17$	−3.27460	+	1.89059i	−0.794207	+	0.458535i	0.0472348	+	0.998884i	$0.484959\pi$
$18$	2.39658	+	1.38366i	0.564878	+	0.326133i
$19$	−1.79370	−	6.69417i	−0.411503	−	1.53575i	−0.791739	−	0.610859i	$-0.790824\pi$
$19$	−1.79370	−	6.69417i	−0.411503	−	1.53575i	0.380237	−	0.924889i	$-0.375842\pi$
$20$	1.00656	−	1.99671i	0.225073	−	0.446477i
$21$	0.823874	−	0.475664i	0.179784	−	0.103798i
$22$	−4.64793	+	2.68348i	−0.990942	+	0.572121i
$23$	−4.59101			−0.957292			−0.478646	−	0.878008i	$-0.658872\pi$
$23$	−4.59101			−0.957292			−0.478646	+	0.878008i	$0.658872\pi$
$24$	0.465926	−	0.124844i	0.0951067	−	0.0254838i
$25$	4.96792	−	0.565478i	0.993584	−	0.113096i
$26$	−6.56502			−1.28751
$27$	−1.96713	+	1.96713i	−0.378574	+	0.378574i
$28$	−0.510450	+	1.90503i	−0.0964661	+	0.360016i
$29$	3.86934	+	3.86934i	0.718519	+	0.718519i	0.968302	−	0.249783i	$-0.0803593\pi$
$29$	3.86934	+	3.86934i	0.718519	+	0.718519i	−0.249783	+	0.968302i	$0.580359\pi$
$30$	0.804654	+	0.718260i	0.146909	+	0.131136i
$31$	4.40372	−	4.40372i	0.790931	−	0.790931i	−0.190715	−	0.981646i	$-0.561081\pi$
$31$	4.40372	−	4.40372i	0.790931	−	0.790931i	0.981646	+	0.190715i	$0.0610805\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	−0.670036	−	2.50061i	−0.116638	−	0.435300i
$34$	3.27460	+	1.89059i	0.561589	+	0.324233i
$35$	−4.18828	+	1.38084i	−0.707949	+	0.233404i
$36$		−	2.76733i		−	0.461221i
$37$	−6.05437	+	0.586988i	−0.995333	+	0.0965003i
$37$	−6.05437	+	0.586988i	−0.995333	+	0.0965003i
$38$	−4.90047	+	4.90047i	−0.794962	+	0.794962i
$39$	0.819606	−	3.05881i	0.131242	−	0.489802i
$40$	−2.23248	+	0.126648i	−0.352986	+	0.0200248i
$41$	3.09785	+	1.78854i	0.483803	+	0.279324i	0.722000	−	0.691893i	$-0.243223\pi$
$41$	3.09785	+	1.78854i	0.483803	+	0.279324i	−0.238197	+	0.971217i	$0.576556\pi$
$42$	−0.823874	−	0.475664i	−0.127127	−	0.0733966i
$43$	3.24741			0.495225			0.247612	−	0.968859i	$-0.420354\pi$
$43$	3.24741			0.495225			0.247612	+	0.968859i	$0.420354\pi$
$44$	4.64793	+	2.68348i	0.700702	+	0.404550i
$45$	5.17507	−	3.39252i	0.771453	−	0.505727i
$46$	2.29550	+	3.97593i	0.338454	+	0.586219i
$47$	2.56542	+	2.56542i	0.374205	+	0.374205i	0.869006	−	0.494801i	$-0.164759\pi$
$47$	2.56542	+	2.56542i	0.374205	+	0.374205i	−0.494801	+	0.869006i	$0.664759\pi$
$48$	−0.341081	−	0.341081i	−0.0492309	−	0.0492309i
$49$	−2.69361	+	1.55516i	−0.384801	+	0.222165i
$50$	−2.97368	−	4.01961i	−0.420542	−	0.568458i
$51$	−1.28969	+	1.28969i	−0.180593	+	0.180593i
$52$	3.28251	+	5.68547i	0.455202	+	0.788433i
$53$	−6.08055	−	1.62928i	−0.835227	−	0.223798i	−0.184234	−	0.982882i	$-0.558981\pi$
$53$	−6.08055	−	1.62928i	−0.835227	−	0.223798i	−0.650993	+	0.759084i	$0.725647\pi$
$54$	2.68715	+	0.720019i	0.365674	+	0.0979821i
$55$	0.679715	+	11.9816i	0.0916528	+	1.61560i
$56$	1.90503	−	0.510450i	0.254570	−	0.0682118i
$57$	−1.67146	−	2.89505i	−0.221390	−	0.383459i
$58$	1.41628	−	5.28562i	0.185966	−	0.694036i
$59$	4.19024	+	1.12277i	0.545522	+	0.146172i	0.521047	−	0.853528i	$-0.325542\pi$
$59$	4.19024	+	1.12277i	0.545522	+	0.146172i	0.0244756	+	0.999700i	$0.492208\pi$
$60$	0.219704	−	1.05598i	0.0283637	−	0.136327i
$61$	−3.33371	−	12.4416i	−0.426838	−	1.59298i	−0.759877	−	0.650067i	$-0.774741\pi$
$61$	−3.33371	−	12.4416i	−0.426838	−	1.59298i	0.333039	−	0.942913i	$-0.391926\pi$
$62$	−6.01559	−	1.61187i	−0.763981	−	0.204708i
$63$	−3.85925	+	3.85925i	−0.486220	+	0.486220i
$64$	1.00000			0.125000
$65$	−6.60808	+	13.1084i	−0.819631	+	1.62590i
$66$	−1.83057	+	1.83057i	−0.225328	+	0.225328i
$67$	1.30482	+	4.86964i	0.159409	+	0.594921i	0.998687	+	0.0512200i	$0.0163110\pi$
$67$	1.30482	+	4.86964i	0.159409	+	0.594921i	−0.839279	+	0.543701i	$0.817022\pi$
$68$		−	3.78118i		−	0.458535i
$69$	−2.13907	+	0.573162i	−0.257514	+	0.0690006i
$70$	3.28998	+	2.93674i	0.393228	+	0.351008i
$71$	3.00672	−	5.20780i	0.356832	−	0.618052i	−0.630597	−	0.776110i	$-0.717190\pi$
$71$	3.00672	−	5.20780i	0.356832	−	0.618052i	0.987430	+	0.158058i	$0.0505234\pi$
$72$	−2.39658	+	1.38366i	−0.282439	+	0.163066i
$73$	6.42799	+	6.42799i	0.752340	+	0.752340i	0.974915	−	0.222576i	$-0.0714465\pi$
$73$	6.42799	+	6.42799i	0.752340	+	0.752340i	−0.222576	+	0.974915i	$0.571447\pi$
$74$	3.53553	+	4.94975i	0.410997	+	0.575396i
$75$	2.24409	−	0.883688i	0.259125	−	0.102040i
$76$	6.69417	+	1.79370i	0.767874	+	0.205751i
$77$	−2.73957	−	10.2242i	−0.312203	−	1.16516i
$78$	−3.05881	+	0.819606i	−0.346342	+	0.0928021i
$79$	1.70817	+	6.37497i	0.192184	+	0.717240i	0.992978	+	0.118300i	$0.0377445\pi$
$79$	1.70817	+	6.37497i	0.192184	+	0.717240i	−0.800794	+	0.598940i	$0.795589\pi$
$80$	1.22592	+	1.87006i	0.137062	+	0.209079i
$81$	3.48004	−	6.02761i	0.386671	−	0.669734i
$82$		−	3.57709i		−	0.395023i
$83$	5.79235	+	1.55206i	0.635793	+	0.170360i	0.562297	−	0.826935i	$-0.309918\pi$
$83$	5.79235	+	1.55206i	0.635793	+	0.170360i	0.0734962	+	0.997296i	$0.476584\pi$
$84$			0.951328i			0.103798i
$85$	7.07103	−	4.63542i	0.766961	−	0.502782i
$86$	−1.62370	−	2.81234i	−0.175088	−	0.303262i
$87$	2.28589	+	1.31976i	0.245073	+	0.141493i
$88$		−	5.36697i		−	0.572121i
$89$	4.07258	−	15.1991i	0.431692	−	1.61110i	−0.317168	−	0.948369i	$-0.602732\pi$
$89$	4.07258	−	15.1991i	0.431692	−	1.61110i	0.748861	−	0.662728i	$-0.230601\pi$
$90$	−5.52554	−	2.78548i	−0.582443	−	0.293615i
$91$	3.35112	−	12.5065i	0.351292	−	1.31104i
$92$	2.29550	−	3.97593i	0.239323	−	0.414519i
$93$	1.50203	−	2.60158i	0.155753	−	0.269772i
$94$	0.939010	−	3.50443i	0.0968515	−	0.361455i
$95$	4.85220	+	14.7174i	0.497825	+	1.50998i
$96$	−0.124844	+	0.465926i	−0.0127419	+	0.0475534i
$97$		−	0.635573i		−	0.0645326i	−0.999479	−	0.0322663i	$-0.989728\pi$
$97$		−	0.635573i		−	0.0645326i	0.999479	−	0.0322663i	$-0.0102725\pi$
$98$	2.69361	+	1.55516i	0.272096	+	0.157095i
$99$	7.42608	+	12.8623i	0.746349	+	1.29271i
$100$	−1.99424	+	4.58508i	−0.199424	+	0.458508i
$101$			16.1219i			1.60419i	0.597194	+	0.802097i	$0.296282\pi$
$101$			16.1219i			1.60419i	−0.597194	+	0.802097i	$0.703718\pi$
$102$	1.76175	+	0.472059i	0.174439	+	0.0467408i
$103$			18.2655i			1.79975i	0.436149	+	0.899875i	$0.356342\pi$
$103$			18.2655i			1.79975i	−0.436149	+	0.899875i	$0.643658\pi$
$104$	3.28251	−	5.68547i	0.321876	−	0.557506i
$105$	−1.77904	+	1.16625i	−0.173617	+	0.113815i
$106$	1.62928	+	6.08055i	0.158249	+	0.590595i
$107$	1.20081	−	0.321755i	0.116086	−	0.0311052i	−0.200308	−	0.979733i	$-0.564194\pi$
$107$	1.20081	−	0.321755i	0.116086	−	0.0311052i	0.316395	+	0.948628i	$0.397528\pi$
$108$	−0.720019	−	2.68715i	−0.0692838	−	0.258571i
$109$	4.53766	+	1.21586i	0.434629	+	0.116459i	0.469498	−	0.882933i	$-0.344435\pi$
$109$	4.53766	+	1.21586i	0.434629	+	0.116459i	−0.0348691	+	0.999392i	$0.511101\pi$
$110$	10.0365	−	6.57947i	0.956947	−	0.627328i
$111$	−2.74761	+	1.02935i	−0.260791	+	0.0977014i
$112$	−1.39458	−	1.39458i	−0.131775	−	0.131775i
$113$	1.64898	−	0.952037i	0.155123	−	0.0895601i	−0.420429	−	0.907325i	$-0.638121\pi$
$113$	1.64898	−	0.952037i	0.155123	−	0.0895601i	0.575552	+	0.817765i	$0.304787\pi$
$114$	−1.67146	+	2.89505i	−0.156547	+	0.271147i
$115$	10.2493	−	0.581442i	0.955755	−	0.0542197i
$116$	−5.28562	+	1.41628i	−0.490757	+	0.131498i
$117$			18.1675i			1.67959i
$118$	−1.12277	−	4.19024i	−0.103359	−	0.385742i
$119$	−5.27314	+	5.27314i	−0.483388	+	0.483388i
$120$	−1.02436	+	0.337721i	−0.0935107	+	0.0308296i
$121$	−17.8043			−1.61857
$122$	−9.10786	+	9.10786i	−0.824587	+	0.824587i
$123$	1.66666	+	0.446580i	0.150278	+	0.0402667i
$124$	1.61187	+	6.01559i	0.144750	+	0.540216i
$125$	−11.0192	+	1.89159i	−0.985584	+	0.169189i
$126$	5.27183	+	1.41258i	0.469652	+	0.125843i
$127$	0.333984	−	1.24644i	0.0296363	−	0.110604i	−0.949523	−	0.313697i	$-0.898433\pi$
$127$	0.333984	−	1.24644i	0.0296363	−	0.110604i	0.979160	+	0.203092i	$0.0650992\pi$
$128$	−0.500000	−	0.866025i	−0.0441942	−	0.0765466i
$129$	1.51305	−	0.405421i	0.133217	−	0.0356953i
$130$	14.6563	−	0.831446i	1.28544	−	0.0729226i
$131$	5.56678	+	1.49161i	0.486372	+	0.130323i	0.493668	−	0.869651i	$-0.335656\pi$
$131$	5.56678	+	1.49161i	0.486372	+	0.130323i	−0.00729635	+	0.999973i	$0.502323\pi$
$132$	2.50061	+	0.670036i	0.217650	+	0.0583191i
$133$	−6.83409	−	11.8370i	−0.592590	−	1.02640i
$134$	3.56483	−	3.56483i	0.307954	−	0.307954i
$135$	4.14244	−	4.64070i	0.356524	−	0.399408i
$136$	−3.27460	+	1.89059i	−0.280794	+	0.162117i
$137$	1.13890	+	1.13890i	0.0973027	+	0.0973027i	0.754082	−	0.656780i	$-0.228082\pi$
$137$	1.13890	+	1.13890i	0.0973027	+	0.0973027i	−0.656780	+	0.754082i	$0.728082\pi$
$138$	1.56591	+	1.56591i	0.133299	+	0.133299i
$139$	5.21999	+	9.04129i	0.442754	+	0.766872i	0.997893	−	0.0648856i	$-0.0206682\pi$
$139$	5.21999	+	9.04129i	0.442754	+	0.766872i	−0.555139	+	0.831758i	$0.687335\pi$
$140$	0.898302	−	4.31758i	0.0759204	−	0.364902i
$141$	1.51558	+	0.875018i	0.127634	+	0.0736898i
$142$	−6.01345			−0.504637
$143$	−30.5137	−	17.6171i	−2.55169	−	1.47322i
$144$	2.39658	+	1.38366i	0.199715	+	0.115305i
$145$	−9.12827	−	8.14818i	−0.758061	−	0.676669i
$146$	2.35281	−	8.78080i	0.194720	−	0.726704i
$147$	−1.06087	+	1.06087i	−0.0874991	+	0.0874991i
$148$	2.51884	−	5.53674i	0.207047	−	0.455117i
$149$		−	19.7607i		−	1.61886i	−0.587218	−	0.809429i	$-0.699777\pi$
$149$		−	19.7607i		−	1.61886i	0.587218	−	0.809429i	$-0.300223\pi$
$150$	−1.88734	−	1.50159i	−0.154101	−	0.122604i
$151$	−0.431688	−	0.249235i	−0.0351302	−	0.0202825i	0.482332	−	0.875988i	$-0.339790\pi$
$151$	−0.431688	−	0.249235i	−0.0351302	−	0.0202825i	−0.517462	+	0.855706i	$0.673123\pi$
$152$	−1.79370	−	6.69417i	−0.145488	−	0.542969i
$153$	5.23188	−	9.06188i	0.422972	−	0.732610i
$154$	−7.48464	+	7.48464i	−0.603130	+	0.603130i
$155$	−9.27348	+	10.3889i	−0.744864	+	0.834459i
$156$	2.23920	+	2.23920i	0.179280	+	0.179280i
$157$	1.37557	−	5.13368i	0.109782	−	0.409712i	−0.889062	−	0.457788i	$-0.848642\pi$
$157$	1.37557	−	5.13368i	0.109782	−	0.409712i	0.998844	+	0.0480752i	$0.0153087\pi$
$158$	4.66680	−	4.66680i	0.371271	−	0.371271i
$159$	−3.03649			−0.240809
$160$	1.00656	−	1.99671i	0.0795755	−	0.157854i
$161$	−8.74600	+	2.34348i	−0.689281	+	0.184692i
$162$	−6.96008			−0.546835
$163$	12.3082	−	7.10613i	0.964051	−	0.556595i	0.0666334	−	0.997778i	$-0.478774\pi$
$163$	12.3082	−	7.10613i	0.964051	−	0.556595i	0.897417	+	0.441183i	$0.145441\pi$
$164$	−3.09785	+	1.78854i	−0.241901	+	0.139662i
$165$	1.81254	+	5.49770i	0.141106	+	0.427995i
$166$	−1.55206	−	5.79235i	−0.120463	−	0.449574i
$167$	−9.19015	−	5.30594i	−0.711155	−	0.410586i	0.100333	−	0.994954i	$-0.468009\pi$
$167$	−9.19015	−	5.30594i	−0.711155	−	0.410586i	−0.811489	+	0.584368i	$0.801342\pi$
$168$	0.823874	−	0.475664i	0.0635633	−	0.0366983i
$169$	−15.0497	−	26.0669i	−1.15767	−	2.00514i
$170$	−7.54991	−	3.80598i	−0.579052	−	0.291905i
$171$	13.5612	+	13.5612i	1.03705	+	1.03705i
$172$	−1.62370	+	2.81234i	−0.123806	+	0.214439i
$173$	−3.10368	+	11.5831i	−0.235969	+	0.880646i	0.741741	+	0.670686i	$0.234000\pi$
$173$	−3.10368	+	11.5831i	−0.235969	+	0.880646i	−0.977710	+	0.209960i	$0.932666\pi$
$174$		−	2.63952i		−	0.200102i
$175$	9.17537	−	3.61313i	0.693593	−	0.273127i
$176$	−4.64793	+	2.68348i	−0.350351	+	0.202275i
$177$	2.09251			0.157283
$178$	−15.1991	+	4.07258i	−1.13922	+	0.305252i
$179$	−4.69109	−	4.69109i	−0.350629	−	0.350629i	0.509715	−	0.860343i	$-0.329751\pi$
$179$	−4.69109	−	4.69109i	−0.350629	−	0.350629i	−0.860343	+	0.509715i	$0.829751\pi$
$180$	0.350476	+	6.17800i	0.0261230	+	0.460481i
$181$	−3.44262	+	5.96279i	−0.255888	+	0.443211i	−0.965136	−	0.261748i	$-0.915701\pi$
$181$	−3.44262	+	5.96279i	−0.255888	+	0.443211i	0.709248	+	0.704959i	$0.249034\pi$
$182$	−12.5065	+	3.35112i	−0.927046	+	0.248401i
$183$	−3.10652	−	5.38066i	−0.229641	−	0.397750i
$184$	−4.59101			−0.338454
$185$	13.4419	−	2.07721i	0.988270	−	0.152720i
$186$	−3.00405			−0.220268
$187$	10.1467	+	17.5747i	0.742002	+	1.28519i
$188$	−3.50443	+	0.939010i	−0.255587	+	0.0684843i
$189$	−2.74331	+	4.75155i	−0.199546	+	0.345625i
$190$	10.3196	−	11.5608i	0.748660	−	0.838711i
$191$	−13.8143	−	13.8143i	−0.999568	−	0.999568i	0.000431752	−	1.00000i	$-0.499863\pi$
$191$	−13.8143	−	13.8143i	−0.999568	−	0.999568i	−1.00000		0.000431752i	$0.999863\pi$
$192$	0.465926	−	0.124844i	0.0336253	−	0.00900987i
$193$	−5.84158			−0.420486			−0.210243	−	0.977649i	$-0.567426\pi$
$193$	−5.84158			−0.420486			−0.210243	+	0.977649i	$0.567426\pi$
$194$	−0.550422	+	0.317786i	−0.0395180	+	0.0228157i
$195$	−1.44236	+	6.93253i	−0.103290	+	0.496449i
$196$		−	3.11031i		−	0.222165i
$197$	−0.691344	+	2.58013i	−0.0492562	+	0.183827i	−0.986171	−	0.165731i	$-0.947002\pi$
$197$	−0.691344	+	2.58013i	−0.0492562	+	0.183827i	0.936915	+	0.349558i	$0.113668\pi$
$198$	7.42608	−	12.8623i	0.527748	−	0.914087i
$199$	−9.22018	−	9.22018i	−0.653601	−	0.653601i	0.300257	−	0.953858i	$-0.402927\pi$
$199$	−9.22018	−	9.22018i	−0.653601	−	0.653601i	−0.953858	+	0.300257i	$0.902927\pi$
$200$	4.96792	−	0.565478i	0.351285	−	0.0399853i
$201$	1.21590	+	2.10599i	0.0857627	+	0.148545i
$202$	13.9620	−	8.06097i	0.982364	−	0.567168i
$203$	9.34631	+	5.39609i	0.655982	+	0.378732i
$204$	−0.472059	−	1.76175i	−0.0330508	−	0.123347i
$205$	−7.14240	−	3.60055i	−0.498847	−	0.251473i
$206$	15.8184	−	9.13273i	1.10212	−	0.636307i
$207$	11.0027	−	6.35241i	0.764741	−	0.441523i
$208$	−6.56502			−0.455202
$209$	−35.9274	+	9.62672i	−2.48515	+	0.665894i
$210$	1.89952	+	0.957568i	0.131080	+	0.0660785i
$211$	24.7655			1.70493			0.852465	−	0.522784i	$-0.175107\pi$
$211$	24.7655			1.70493			0.852465	+	0.522784i	$0.175107\pi$
$212$	4.45127	−	4.45127i	0.305714	−	0.305714i
$213$	0.750746	−	2.80182i	0.0514402	−	0.191978i
$214$	−0.879051	−	0.879051i	−0.0600907	−	0.0600907i
$215$	−7.24977	+	0.411277i	−0.494430	+	0.0280489i
$216$	−1.96713	+	1.96713i	−0.133846	+	0.133846i
$217$	6.14132	−	10.6371i	0.416900	−	0.722092i
$218$	−1.21586	−	4.53766i	−0.0823487	−	0.307329i
$219$	3.79747	+	2.19247i	0.256609	+	0.148153i
$220$	−10.7163	−	5.40217i	−0.722490	−	0.364214i
$221$			24.8235i			1.66981i
$222$	2.26525	+	1.86482i	0.152033	+	0.125159i
$223$	−21.0409	+	21.0409i	−1.40900	+	1.40900i	−0.643846	+	0.765155i	$0.722662\pi$
$223$	−21.0409	+	21.0409i	−1.40900	+	1.40900i	−0.765155	+	0.643846i	$0.777338\pi$
$224$	−0.510450	+	1.90503i	−0.0341059	+	0.127285i
$225$	−11.1236	+	8.22914i	−0.741571	+	0.548609i
$226$	−1.64898	−	0.952037i	−0.109688	−	0.0633286i
$227$	−5.88398	−	3.39712i	−0.390533	−	0.225475i	0.291858	−	0.956462i	$-0.405727\pi$
$227$	−5.88398	−	3.39712i	−0.390533	−	0.225475i	−0.682391	+	0.730987i	$0.739060\pi$
$228$	3.34292			0.221390
$229$	4.11181	+	2.37395i	0.271716	+	0.156875i	0.629667	−	0.776865i	$-0.283191\pi$
$229$	4.11181	+	2.37395i	0.271716	+	0.156875i	−0.357951	+	0.933740i	$0.616525\pi$
$230$	−5.62821	−	8.58546i	−0.371113	−	0.566108i
$231$	−2.55287	−	4.42171i	−0.167967	−	0.290927i
$232$	3.86934	+	3.86934i	0.254035	+	0.254035i
$233$	7.99123	+	7.99123i	0.523523	+	0.523523i	0.918634	−	0.395111i	$-0.129294\pi$
$233$	7.99123	+	7.99123i	0.523523	+	0.523523i	−0.395111	+	0.918634i	$0.629294\pi$
$234$	15.7336	−	9.08377i	1.02853	−	0.593825i
$235$	−6.05216	−	5.40234i	−0.394799	−	0.352410i
$236$	−3.06747	+	3.06747i	−0.199675	+	0.199675i
$237$	1.59176	+	2.75701i	0.103396	+	0.179087i
$238$	7.20325	+	1.93010i	0.466917	+	0.125110i
$239$	4.85485	+	1.30085i	0.314034	+	0.0841453i	0.412394	−	0.911006i	$-0.364693\pi$
$239$	4.85485	+	1.30085i	0.314034	+	0.0841453i	−0.0983594	+	0.995151i	$0.531359\pi$
$240$	0.804654	+	0.718260i	0.0519402	+	0.0463635i
$241$	8.76657	−	2.34899i	0.564704	−	0.151312i	0.0348375	−	0.999393i	$-0.488909\pi$
$241$	8.76657	−	2.34899i	0.564704	−	0.151312i	0.529867	+	0.848081i	$0.322242\pi$
$242$	8.90216	+	15.4190i	0.572253	+	0.991171i
$243$	3.02898	−	11.3043i	0.194309	−	0.725173i
$244$	12.4416	+	3.33371i	0.796490	+	0.213419i
$245$	5.81647	−	3.81299i	0.371601	−	0.243603i
$246$	−0.446580	−	1.66666i	−0.0284729	−	0.106262i
$247$	−43.9473	−	11.7757i	−2.79630	−	0.749267i
$248$	4.40372	−	4.40372i	0.279636	−	0.279636i
$249$	2.89257			0.183309
$250$	7.14775	+	8.59707i	0.452063	+	0.543727i
$251$	7.96081	−	7.96081i	0.502482	−	0.502482i	−0.409726	−	0.912208i	$-0.634376\pi$
$251$	7.96081	−	7.96081i	0.502482	−	0.502482i	0.912208	+	0.409726i	$0.134376\pi$
$252$	−1.41258	−	5.27183i	−0.0889844	−	0.332094i
$253$			24.6398i			1.54909i
$254$	−1.24644	+	0.333984i	−0.0782089	+	0.0209560i
$255$	2.71587	−	3.04254i	0.170074	−	0.190531i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	22.2512	−	12.8468i	1.38799	−	0.801359i	0.394905	−	0.918722i	$-0.370778\pi$
$257$	22.2512	−	12.8468i	1.38799	−	0.801359i	0.993089	+	0.117363i	$0.0374442\pi$
$258$	−1.10763	−	1.10763i	−0.0689580	−	0.0689580i
$259$	−11.2341	+	4.20869i	−0.698054	+	0.261515i
$260$	−8.04818	−	12.2770i	−0.499127	−	0.761385i
$261$	−14.6270	−	3.91930i	−0.905391	−	0.242599i
$262$	−1.49161	−	5.56678i	−0.0921522	−	0.343917i
$263$	15.3462	−	4.11201i	0.946289	−	0.253557i	0.247502	−	0.968887i	$-0.420390\pi$
$263$	15.3462	−	4.11201i	0.946289	−	0.253557i	0.698787	+	0.715330i	$0.253724\pi$
$264$	−0.670036	−	2.50061i	−0.0412379	−	0.153902i
$265$	13.7810	+	2.86724i	0.846562	+	0.176133i
$266$	−6.83409	+	11.8370i	−0.419025	+	0.725772i
$267$		−	7.59007i		−	0.464505i
$268$	−4.86964	−	1.30482i	−0.297461	−	0.0797044i
$269$		−	14.0971i		−	0.859517i	−0.902944	−	0.429758i	$-0.858599\pi$
$269$		−	14.0971i		−	0.859517i	0.902944	−	0.429758i	$-0.141401\pi$
$270$	−6.09019	−	1.26710i	−0.370637	−	0.0771135i
$271$	13.6859	+	23.7046i	0.831357	+	1.43995i	0.896962	+	0.442107i	$0.145769\pi$
$271$	13.6859	+	23.7046i	0.831357	+	1.43995i	−0.0656050	+	0.997846i	$0.520898\pi$
$272$	3.27460	+	1.89059i	0.198552	+	0.114634i
$273$		−	6.24549i		−	0.377994i
$274$	0.416866	−	1.55576i	0.0251838	−	0.0939872i
$275$	−3.03490	−	26.6627i	−0.183011	−	1.60782i
$276$	0.573162	−	2.13907i	0.0345003	−	0.128757i
$277$	−2.10314	+	3.64275i	−0.126366	+	0.218872i	−0.922266	−	0.386556i	$-0.873665\pi$
$277$	−2.10314	+	3.64275i	−0.126366	+	0.218872i	0.795900	+	0.605428i	$0.206998\pi$
$278$	5.21999	−	9.04129i	0.313074	−	0.542260i
$279$	−4.46058	+	16.6471i	−0.267048	+	0.996636i
$280$	−4.18828	+	1.38084i	−0.250298	+	0.0825208i
$281$	8.01768	−	29.9224i	0.478295	−	1.78502i	−0.130227	−	0.991484i	$-0.541571\pi$
$281$	8.01768	−	29.9224i	0.478295	−	1.78502i	0.608522	−	0.793537i	$-0.291763\pi$
$282$		−	1.75004i		−	0.104213i
$283$	12.0533	+	6.95899i	0.716495	+	0.413669i	0.813461	−	0.581619i	$-0.197580\pi$
$283$	12.0533	+	6.95899i	0.716495	+	0.413669i	−0.0969660	+	0.995288i	$0.530914\pi$
$284$	3.00672	+	5.20780i	0.178416	+	0.309026i
$285$	4.09815	+	6.25146i	0.242754	+	0.370304i
$286$			35.2342i			2.08344i
$287$	6.81445	+	1.82593i	0.402244	+	0.107781i
$288$		−	2.76733i		−	0.163066i
$289$	−1.35134	+	2.34059i	−0.0794906	+	0.137682i
$290$	−2.49240	+	11.9794i	−0.146359	+	0.703455i
$291$	−0.0793477	−	0.296130i	−0.00465145	−	0.0173594i
$292$	−8.78080	+	2.35281i	−0.513857	+	0.137688i
$293$	−4.28942	−	16.0083i	−0.250591	−	0.935217i	−0.970491	−	0.241139i	$-0.922479\pi$
$293$	−4.28942	−	16.0083i	−0.250591	−	0.935217i	0.719900	−	0.694078i	$-0.244188\pi$
$294$	1.44918	+	0.388305i	0.0845176	+	0.0226464i
$295$	−9.49681	−	1.97588i	−0.552926	−	0.115040i
$296$	−6.05437	+	0.586988i	−0.351903	+	0.0341180i
$297$	10.5575	+	10.5575i	0.612609	+	0.612609i
$298$	−17.1132	+	9.88034i	−0.991344	+	0.572352i
$299$	−15.0700	+	26.1021i	−0.871522	+	1.50952i
$300$	−0.356747	+	2.38528i	−0.0205968	+	0.137714i
$301$	6.18640	−	1.65764i	0.356578	−	0.0955448i
$302$			0.498470i			0.0286837i
$303$	2.01274	+	7.51163i	0.115629	+	0.431532i
$304$	−4.90047	+	4.90047i	−0.281061	+	0.281061i
$305$	9.01814	+	27.3533i	0.516377	+	1.56625i
$306$	−10.4638			−0.598173
$307$	12.1318	−	12.1318i	0.692398	−	0.692398i	−0.270361	−	0.962759i	$-0.587143\pi$
$307$	12.1318	−	12.1318i	0.692398	−	0.692398i	0.962759	+	0.270361i	$0.0871432\pi$
$308$	10.2242	+	2.73957i	0.582579	+	0.156101i
$309$	2.28034	+	8.51035i	0.129724	+	0.484137i
$310$	13.6338	+	2.83661i	0.774349	+	0.161109i
$311$	−9.15508	−	2.45310i	−0.519137	−	0.139102i	−0.0102695	−	0.999947i	$-0.503269\pi$
$311$	−9.15508	−	2.45310i	−0.519137	−	0.139102i	−0.508867	+	0.860845i	$0.669936\pi$
$312$	0.819606	−	3.05881i	0.0464010	−	0.173171i
$313$	8.73552	+	15.1304i	0.493761	+	0.855219i	0.999974	−	0.00718926i	$-0.00228843\pi$
$313$	8.73552	+	15.1304i	0.493761	+	0.855219i	−0.506213	+	0.862408i	$0.668955\pi$
$314$	−5.13368	+	1.37557i	−0.289710	+	0.0776277i
$315$	8.12692	−	9.10446i	0.457900	−	0.512978i
$316$	−6.37497	−	1.70817i	−0.358620	−	0.0960919i
$317$	−2.79671	−	0.749376i	−0.157079	−	0.0420891i	0.179423	−	0.983772i	$-0.442577\pi$
$317$	−2.79671	−	0.749376i	−0.157079	−	0.0420891i	−0.336501	+	0.941683i	$0.609244\pi$
$318$	1.51824	+	2.62968i	0.0851389	+	0.147465i
$319$	20.7666	−	20.7666i	1.16271	−	1.16271i
$320$	−2.23248	+	0.126648i	−0.124799	+	0.00707984i
$321$	0.519317	−	0.299828i	0.0289855	−	0.0167348i
$322$	6.40251	+	6.40251i	0.356798	+	0.356798i
$323$	18.5296	+	18.5296i	1.03101	+	1.03101i
$324$	3.48004	+	6.02761i	0.193336	+	0.334867i
$325$	13.0922	−	30.1012i	0.726226	−	1.66971i
$326$	−12.3082	−	7.10613i	−0.681687	−	0.393572i
$327$	2.26601			0.125311
$328$	3.09785	+	1.78854i	0.171050	+	0.0987559i
$329$	6.19672	+	3.57768i	0.341636	+	0.197244i
$330$	3.85487	−	4.31855i	0.212204	−	0.237728i
$331$	−1.64693	+	6.14644i	−0.0905237	+	0.337839i	−0.996303	−	0.0859112i	$-0.972620\pi$
$331$	−1.64693	+	6.14644i	−0.0905237	+	0.337839i	0.905779	+	0.423750i	$0.139287\pi$
$332$	−4.24030	+	4.24030i	−0.232717	+	0.232717i
$333$	13.6976	−	9.78398i	0.750622	−	0.536159i
$334$			10.6119i			0.580656i
$335$	−3.52971	−	10.7061i	−0.192848	−	0.584938i
$336$	−0.823874	−	0.475664i	−0.0449460	−	0.0259496i
$337$	−1.58362	−	5.91014i	−0.0862651	−	0.321946i	0.909286	−	0.416172i	$-0.136629\pi$
$337$	−1.58362	−	5.91014i	−0.0862651	−	0.321946i	−0.995551	+	0.0942269i	$0.969962\pi$
$338$	−15.0497	+	26.0669i	−0.818597	+	1.41785i
$339$	0.649444	−	0.649444i	0.0352730	−	0.0352730i
$340$	0.478879	+	8.44140i	0.0259708	+	0.457799i
$341$	−23.6346	−	23.6346i	−1.27989	−	1.27989i
$342$	4.96375	−	18.5250i	0.268409	−	1.00172i
$343$	−14.0996	+	14.0996i	−0.761307	+	0.761307i
$344$	3.24741			0.175088
$345$	4.70284	−	1.55048i	0.253192	−	0.0834751i
$346$	11.5831	−	3.10368i	0.622711	−	0.166855i
$347$	21.8691			1.17400			0.586998	−	0.809588i	$-0.300310\pi$
$347$	21.8691			1.17400			0.586998	+	0.809588i	$0.300310\pi$
$348$	−2.28589	+	1.31976i	−0.122537	+	0.0707466i
$349$	10.6516	−	6.14968i	0.570165	−	0.329185i	−0.187050	−	0.982350i	$-0.559893\pi$
$349$	10.6516	−	6.14968i	0.570165	−	0.329185i	0.757215	+	0.653166i	$0.226559\pi$
$350$	−7.71675	−	6.13954i	−0.412477	−	0.328172i
$351$	4.72694	+	17.6412i	0.252305	+	0.941616i
$352$	4.64793	+	2.68348i	0.247735	+	0.143030i
$353$	20.9691	−	12.1065i	1.11607	−	0.644365i	0.175678	−	0.984448i	$-0.443788\pi$
$353$	20.9691	−	12.1065i	1.11607	−	0.644365i	0.940396	+	0.340082i	$0.110455\pi$
$354$	−1.04626	−	1.81217i	−0.0556078	−	0.0963156i
$355$	−6.05289	+	12.0071i	−0.321254	+	0.637270i
$356$	11.1265	+	11.1265i	0.589702	+	0.589702i
$357$	−1.79857	+	3.11522i	−0.0951905	+	0.164875i
$358$	−1.71706	+	6.40815i	−0.0907494	+	0.338681i
$359$		−	5.40490i		−	0.285260i	−0.989776	−	0.142630i	$-0.954444\pi$
$359$		−	5.40490i		−	0.285260i	0.989776	−	0.142630i	$-0.0455559\pi$
$360$	5.17507	−	3.39252i	0.272750	−	0.178802i
$361$	−25.1401	+	14.5146i	−1.32316	+	0.763928i
$362$	6.88524			0.361880
$363$	−8.29549	+	2.22277i	−0.435401	+	0.116665i
$364$	9.15542	+	9.15542i	0.479874	+	0.479874i
$365$	−15.1644	−	13.5363i	−0.793743	−	0.708520i
$366$	−3.10652	+	5.38066i	−0.162381	+	0.281251i
$367$	25.6488	−	6.87257i	1.33886	−	0.358745i	0.482846	−	0.875705i	$-0.339603\pi$
$367$	25.6488	−	6.87257i	1.33886	−	0.358745i	0.856010	+	0.516960i	$0.172936\pi$
$368$	2.29550	+	3.97593i	0.119661	+	0.207260i
$369$	−9.89898			−0.515320
$370$	−8.51988	−	10.6024i	−0.442927	−	0.551194i
$371$	−12.4153			−0.644569
$372$	1.50203	+	2.60158i	0.0778764	+	0.134886i
$373$	−11.2658	+	3.01866i	−0.583321	+	0.156300i	−0.538399	−	0.842690i	$-0.680971\pi$
$373$	−11.2658	+	3.01866i	−0.583321	+	0.156300i	−0.0449219	+	0.998991i	$0.514304\pi$
$374$	10.1467	−	17.5747i	0.524675	−	0.908764i
$375$	−4.89796	+	2.25702i	−0.252929	+	0.116552i
$376$	2.56542	+	2.56542i	0.132302	+	0.132302i
$377$	34.7002	−	9.29789i	1.78715	−	0.478865i
$378$	5.48662			0.282201
$379$	−19.3379	+	11.1647i	−0.993321	+	0.573494i	−0.906265	−	0.422709i	$-0.861079\pi$
$379$	−19.3379	+	11.1647i	−0.993321	+	0.573494i	−0.0870560	+	0.996203i	$0.527746\pi$
$380$	−15.1718	−	3.15659i	−0.778295	−	0.161930i
$381$		−	0.622446i		−	0.0318889i
$382$	−5.05639	+	18.8707i	−0.258707	+	0.965509i
$383$	−8.42285	+	14.5888i	−0.430388	+	0.745453i	−0.996907	−	0.0785955i	$-0.974956\pi$
$383$	−8.42285	+	14.5888i	−0.430388	+	0.745453i	0.566519	+	0.824049i	$0.308290\pi$
$384$	−0.341081	−	0.341081i	−0.0174057	−	0.0174057i
$385$	7.41091	+	22.4784i	0.377695	+	1.14560i
$386$	2.92079	+	5.05896i	0.148664	+	0.257494i
$387$	−7.78266	+	4.49332i	−0.395615	+	0.228408i
$388$	0.550422	+	0.317786i	0.0279435	+	0.0161332i
$389$	−3.32017	−	12.3910i	−0.168339	−	0.628251i	−0.997591	−	0.0693748i	$-0.977900\pi$
$389$	−3.32017	−	12.3910i	−0.168339	−	0.628251i	0.829251	−	0.558876i	$-0.188767\pi$
$390$	6.72493	−	2.21714i	0.340530	−	0.112269i
$391$	15.0337	−	8.67972i	0.760287	−	0.438952i
$392$	−2.69361	+	1.55516i	−0.136048	+	0.0785473i
$393$	2.77992			0.140229
$394$	2.58013	−	0.691344i	0.129985	−	0.0348294i
$395$	−4.62082	−	14.0156i	−0.232499	−	0.705204i
$396$	−14.8522			−0.746349
$397$	4.74373	−	4.74373i	0.238081	−	0.238081i	−0.577974	−	0.816055i	$-0.696157\pi$
$397$	4.74373	−	4.74373i	0.238081	−	0.238081i	0.816055	+	0.577974i	$0.196157\pi$
$398$	−3.37482	+	12.5950i	−0.169164	+	0.631330i
$399$	−4.66196	−	4.66196i	−0.233390	−	0.233390i
$400$	−2.97368	−	4.01961i	−0.148684	−	0.200980i
$401$	−8.31260	+	8.31260i	−0.415112	+	0.415112i	−0.883515	−	0.468403i	$-0.844829\pi$
$401$	−8.31260	+	8.31260i	−0.415112	+	0.415112i	0.468403	+	0.883515i	$0.344829\pi$
$402$	1.21590	−	2.10599i	0.0606434	−	0.105037i
$403$	−10.5820	−	39.4924i	−0.527125	−	1.96726i
$404$	−13.9620	−	8.06097i	−0.694636	−	0.401048i
$405$	−7.00573	+	13.8972i	−0.348118	+	0.690559i
$406$		−	10.7922i		−	0.535607i
$407$	3.15035	+	32.4936i	0.156157	+	1.61065i
$408$	−1.28969	+	1.28969i	−0.0638492	+	0.0638492i
$409$	1.28183	−	4.78384i	0.0633822	−	0.236545i	−0.926966	−	0.375144i	$-0.877593\pi$
$409$	1.28183	−	4.78384i	0.0633822	−	0.236545i	0.990349	+	0.138599i	$0.0442598\pi$
$410$	0.453031	+	7.98578i	0.0223736	+	0.394389i
$411$	0.672828	+	0.388457i	0.0331881	+	0.0191612i
$412$	−15.8184	−	9.13273i	−0.779314	−	0.449937i
$413$	8.55563			0.420995
$414$	−11.0027	−	6.35241i	−0.540753	−	0.312204i
$415$	−13.1279	−	2.73134i	−0.644422	−	0.134076i
$416$	3.28251	+	5.68547i	0.160938	+	0.278753i
$417$	3.56088	+	3.56088i	0.174377	+	0.174377i
$418$	26.3007	+	26.3007i	1.28641	+	1.28641i
$419$	26.1044	−	15.0714i	1.27528	−	0.736285i	0.299306	−	0.954157i	$-0.403245\pi$
$419$	26.1044	−	15.0714i	1.27528	−	0.736285i	0.975977	+	0.217872i	$0.0699117\pi$
$420$	−0.120484	−	2.12382i	−0.00587901	−	0.103632i
$421$	7.00494	−	7.00494i	0.341400	−	0.341400i	−0.515494	−	0.856893i	$-0.672391\pi$
$421$	7.00494	−	7.00494i	0.341400	−	0.341400i	0.856893	+	0.515494i	$0.172391\pi$
$422$	−12.3828	−	21.4476i	−0.602784	−	1.04405i
$423$	−9.69791	−	2.59855i	−0.471529	−	0.126346i
$424$	−6.08055	−	1.62928i	−0.295297	−	0.0791247i
$425$	−15.1989	+	11.2440i	−0.737253	+	0.545415i
$426$	−2.80182	+	0.750746i	−0.135749	+	0.0363737i
$427$	−12.7016	−	21.9998i	−0.614674	−	1.06465i
$428$	−0.321755	+	1.20081i	−0.0155526	+	0.0580432i
$429$	−16.4165	−	4.39880i	−0.792598	−	0.212376i
$430$	3.98106	+	6.07284i	0.191984	+	0.292858i
$431$	0.693145	+	2.58685i	0.0333876	+	0.124604i	0.980608	−	0.195978i	$-0.0627881\pi$
$431$	0.693145	+	2.58685i	0.0333876	+	0.124604i	−0.947221	+	0.320582i	$0.896121\pi$
$432$	2.68715	+	0.720019i	0.129285	+	0.0346419i
$433$	−17.8688	+	17.8688i	−0.858721	+	0.858721i	−0.991188	−	0.132466i	$-0.957710\pi$
$433$	−17.8688	+	17.8688i	−0.858721	+	0.858721i	0.132466	+	0.991188i	$0.457710\pi$
$434$	−12.2826			−0.589586
$435$	−5.27035	−	2.65683i	−0.252694	−	0.127385i
$436$	−3.32180	+	3.32180i	−0.159085	+	0.159085i
$437$	8.23488	+	30.7330i	0.393928	+	1.47016i
$438$		−	4.38494i		−	0.209520i
$439$	13.6742	−	3.66399i	0.652633	−	0.174873i	0.0827142	−	0.996573i	$-0.473641\pi$
$439$	13.6742	−	3.66399i	0.652633	−	0.174873i	0.569919	+	0.821701i	$0.306974\pi$
$440$	0.679715	+	11.9816i	0.0324042	+	0.571202i
$441$	4.30363	−	7.45410i	0.204935	−	0.354957i
$442$	21.4978	−	12.4118i	1.02255	−	0.590367i
$443$	21.2048	+	21.2048i	1.00747	+	1.00747i	0.999972	+	0.00749634i	$0.00238618\pi$
$443$	21.2048	+	21.2048i	1.00747	+	1.00747i	0.00749634	+	0.999972i	$0.497614\pi$
$444$	0.482362	−	2.89417i	0.0228919	−	0.137351i
$445$	−7.16701	+	34.4474i	−0.339749	+	1.63296i
$446$	28.7424	+	7.70149i	1.36099	+	0.364676i
$447$	−2.46701	−	9.20701i	−0.116686	−	0.435476i
$448$	1.90503	−	0.510450i	0.0900041	−	0.0241165i
$449$	2.30519	+	8.60310i	0.108789	+	0.406006i	0.998747	−	0.0500358i	$-0.0159335\pi$
$449$	2.30519	+	8.60310i	0.108789	+	0.406006i	−0.889959	+	0.456041i	$0.849267\pi$
$450$	12.6884	+	5.51872i	0.598138	+	0.260155i
$451$	9.59906	−	16.6261i	0.452002	−	0.782891i
$452$			1.90407i			0.0895601i
$453$	−0.232250	−	0.0622312i	−0.0109121	−	0.00292388i
$454$			6.79423i			0.318869i
$455$	−5.89737	+	28.3450i	−0.276473	+	1.32883i
$456$	−1.67146	−	2.89505i	−0.0782733	−	0.135573i
$457$	−18.9193	−	10.9231i	−0.885008	−	0.510960i	−0.0127017	−	0.999919i	$-0.504043\pi$
$457$	−18.9193	−	10.9231i	−0.885008	−	0.510960i	−0.872306	+	0.488960i	$0.837377\pi$
$458$		−	4.74790i		−	0.221855i
$459$	2.72252	−	10.1606i	0.127076	−	0.474255i
$460$	−4.62112	+	9.16690i	−0.215461	+	0.427409i
$461$	−5.93578	+	22.1526i	−0.276457	+	1.03175i	0.678402	+	0.734691i	$0.262673\pi$
$461$	−5.93578	+	22.1526i	−0.276457	+	1.03175i	−0.954859	+	0.297060i	$0.903994\pi$
$462$	−2.55287	+	4.42171i	−0.118770	+	0.205716i
$463$	18.4104	−	31.8878i	0.855605	−	1.48195i	−0.0204776	−	0.999790i	$-0.506519\pi$
$463$	18.4104	−	31.8878i	0.855605	−	1.48195i	0.876083	−	0.482161i	$-0.160148\pi$
$464$	1.41628	−	5.28562i	0.0657490	−	0.245379i
$465$	−3.02375	+	5.99821i	−0.140223	+	0.278160i
$466$	2.92499	−	10.9162i	0.135498	−	0.505684i
$467$			5.17869i			0.239641i	0.992796	+	0.119821i	$0.0382320\pi$
$467$			5.17869i			0.239641i	−0.992796	+	0.119821i	$0.961768\pi$
$468$	−15.7336	−	9.08377i	−0.727284	−	0.419898i
$469$	4.97142	+	8.61075i	0.229559	+	0.397608i
$470$	−1.65249	+	7.94249i	−0.0762237	+	0.366360i
$471$		−	2.56365i		−	0.118127i
$472$	4.19024	+	1.12277i	0.192871	+	0.0516797i
$473$		−	17.4287i		−	0.801373i
$474$	1.59176	−	2.75701i	0.0731119	−	0.126634i
$475$	−12.6964	−	32.2418i	−0.582549	−	1.47936i
$476$	−1.93010	−	7.20325i	−0.0884662	−	0.330160i
$477$	16.8269	−	4.50874i	0.770449	−	0.206441i
$478$	−1.30085	−	4.85485i	−0.0594997	−	0.222056i
$479$	−18.9576	−	5.07969i	−0.866197	−	0.232097i	−0.201754	−	0.979436i	$-0.564664\pi$
$479$	−18.9576	−	5.07969i	−0.866197	−	0.232097i	−0.664442	+	0.747339i	$0.731331\pi$
$480$	0.219704	−	1.05598i	0.0100281	−	0.0481987i
$481$	−16.5362	+	36.3488i	−0.753987	+	1.65736i
$482$	−6.41757	−	6.41757i	−0.292312	−	0.292312i
$483$	−3.78241	+	2.18378i	−0.172106	+	0.0993653i
$484$	8.90216	−	15.4190i	0.404644	−	0.700864i
$485$	0.0804940	+	1.41890i	0.00365505	+	0.0644291i
$486$	−11.3043	+	3.02898i	−0.512774	+	0.137397i
$487$		−	22.6191i		−	1.02497i	−0.858697	−	0.512484i	$-0.828725\pi$
$487$		−	22.6191i		−	1.02497i	0.858697	−	0.512484i	$-0.171275\pi$
$488$	−3.33371	−	12.4416i	−0.150910	−	0.563204i
$489$	4.84754	−	4.84754i	0.219213	−	0.219213i
$490$	−6.21038	−	3.13071i	−0.280557	−	0.141431i
$491$	5.38517			0.243029			0.121515	−	0.992590i	$-0.461225\pi$
$491$	5.38517			0.243029			0.121515	+	0.992590i	$0.461225\pi$
$492$	−1.22008	+	1.22008i	−0.0550054	+	0.0550054i
$493$	−19.9859	−	5.35520i	−0.900119	−	0.241186i
$494$	11.7757	+	43.9473i	0.529812	+	1.97728i
$495$	−18.2075	−	27.7744i	−0.818368	−	1.24837i
$496$	−6.01559	−	1.61187i	−0.270108	−	0.0723752i
$497$	3.06957	−	11.4558i	0.137689	−	0.513862i
$498$	−1.44629	−	2.50504i	−0.0648096	−	0.112254i
$499$	14.7440	−	3.95063i	0.660030	−	0.176855i	0.0867707	−	0.996228i	$-0.472345\pi$
$499$	14.7440	−	3.95063i	0.660030	−	0.176855i	0.573260	+	0.819374i	$0.305679\pi$
$500$	3.87141	−	10.4887i	0.173135	−	0.469068i
$501$	−4.94434	−	1.32483i	−0.220897	−	0.0591892i
$502$	−10.8747	−	2.91386i	−0.485360	−	0.130052i
$503$	5.25585	+	9.10341i	0.234347	+	0.405901i	0.959083	−	0.283126i	$-0.0913715\pi$
$503$	5.25585	+	9.10341i	0.234347	+	0.405901i	−0.724736	+	0.689027i	$0.758038\pi$
$504$	−3.85925	+	3.85925i	−0.171905	+	0.171905i
$505$	−2.04181	−	35.9919i	−0.0908594	−	1.60162i
$506$	21.3387	−	12.3199i	0.948620	−	0.547686i
$507$	−10.2664	−	10.2664i	−0.455945	−	0.455945i
$508$	0.912460	+	0.912460i	0.0404839	+	0.0404839i
$509$	2.32973	+	4.03522i	0.103264	+	0.178858i	0.913027	−	0.407898i	$-0.133738\pi$
$509$	2.32973	+	4.03522i	0.103264	+	0.178858i	−0.809764	+	0.586756i	$0.800405\pi$
$510$	−3.99285	−	0.830740i	−0.176806	−	0.0367858i
$511$	15.5267	+	8.96433i	0.686859	+	0.396558i
$512$	1.00000			0.0441942
$513$	16.6967	+	9.63986i	0.737178	+	0.425610i
$514$	−22.2512	−	12.8468i	−0.981460	−	0.566646i
$515$	−2.31328	−	40.7772i	−0.101935	−	1.79686i
$516$	−0.405421	+	1.51305i	−0.0178477	+	0.0666083i
$517$	13.7685	−	13.7685i	0.605539	−	0.605539i
$518$	9.26189	+	7.62469i	0.406944	+	0.335010i
$519$			5.78434i			0.253904i
$520$	−6.60808	+	13.1084i	−0.289783	+	0.574842i
$521$	22.3164	+	12.8844i	0.977701	+	0.564476i	0.901575	−	0.432622i	$-0.142412\pi$
$521$	22.3164	+	12.8844i	0.977701	+	0.564476i	0.0761257	+	0.997098i	$0.475745\pi$
$522$	3.91930	+	14.6270i	0.171543	+	0.640208i
$523$	−2.99852	+	5.19358i	−0.131116	+	0.227099i	−0.924107	−	0.382134i	$-0.875189\pi$
$523$	−2.99852	+	5.19358i	−0.131116	+	0.227099i	0.792991	+	0.609233i	$0.208523\pi$
$524$	−4.07516	+	4.07516i	−0.178024	+	0.178024i
$525$	3.82396	−	2.82894i	0.166892	−	0.123465i
$526$	−11.2342	−	11.2342i	−0.489835	−	0.489835i
$527$	−6.09478	+	22.7460i	−0.265493	+	0.990832i
$528$	−1.83057	+	1.83057i	−0.0796654	+	0.0796654i
$529$	−1.92263			−0.0835927
$530$	−4.40742	−	13.3683i	−0.191446	−	0.580684i
$531$	−11.5958	+	3.10707i	−0.503213	+	0.134835i
$532$	13.6682			0.592590
$533$	20.3374	−	11.7418i	0.880912	−	0.508595i
$534$	−6.57319	+	3.79504i	−0.284450	+	0.164227i
$535$	−2.64003	+	0.870391i	−0.114138	+	0.0376303i
$536$	1.30482	+	4.86964i	0.0563595	+	0.210336i
$537$	−2.77136	−	1.60004i	−0.119593	−	0.0690470i
$538$	−12.2085	+	7.04856i	−0.526344	+	0.303885i
$539$	8.34647	+	14.4565i	0.359508	+	0.622686i
$540$	1.94775	+	5.90781i	0.0838177	+	0.254232i
$541$	−2.57136	−	2.57136i	−0.110551	−	0.110551i	0.649667	−	0.760219i	$-0.274908\pi$
$541$	−2.57136	−	2.57136i	−0.110551	−	0.110551i	−0.760219	+	0.649667i	$0.774908\pi$
$542$	13.6859	−	23.7046i	0.587858	−	1.01820i
$543$	−0.859584	+	3.20801i	−0.0368883	+	0.137669i
$544$		−	3.78118i		−	0.162117i
$545$	−10.2842	−	2.13970i	−0.440528	−	0.0916548i
$546$	−5.40875	+	3.12274i	−0.231473	+	0.133641i
$547$	−29.4642			−1.25980			−0.629900	−	0.776676i	$-0.716904\pi$
$547$	−29.4642			−1.25980			−0.629900	+	0.776676i	$0.716904\pi$
$548$	−1.55576	+	0.416866i	−0.0664590	+	0.0178076i
$549$	25.2044	+	25.2044i	1.07570	+	1.07570i
$550$	−21.5731	+	15.9596i	−0.919880	+	0.680521i
$551$	18.9616	−	32.8425i	0.807792	−	1.39914i
$552$	−2.13907	+	0.573162i	−0.0910449	+	0.0243954i
$553$	6.50821	+	11.2726i	0.276757	+	0.479358i
$554$	4.20628			0.178708
$555$	6.00361	−	2.64598i	0.254839	−	0.112315i
$556$	−10.4400			−0.442754
$557$	2.98384	+	5.16816i	0.126429	+	0.218982i	0.922291	−	0.386497i	$-0.126315\pi$
$557$	2.98384	+	5.16816i	0.126429	+	0.218982i	−0.795861	+	0.605479i	$0.792982\pi$
$558$	16.6471	−	4.46058i	0.704728	−	0.188831i
$559$	10.6596	−	18.4630i	0.450855	−	0.780903i
$560$	3.28998	+	2.93674i	0.139027	+	0.124100i
$561$	6.92172	+	6.92172i	0.292235	+	0.292235i
$562$	−29.9224	+	8.01768i	−1.26220	+	0.338206i
$563$	−21.6691			−0.913243			−0.456621	−	0.889661i	$-0.650941\pi$
$563$	−21.6691			−0.913243			−0.456621	+	0.889661i	$0.650941\pi$
$564$	−1.51558	+	0.875018i	−0.0638172	+	0.0368449i
$565$	−3.56073	+	2.33424i	−0.149801	+	0.0982023i
$566$		−	13.9180i		−	0.585016i
$567$	3.55278	−	13.2591i	0.149203	−	0.556831i
$568$	3.00672	−	5.20780i	0.126159	−	0.218514i
$569$	11.7420	+	11.7420i	0.492250	+	0.492250i	0.909015	−	0.416764i	$-0.136836\pi$
$569$	11.7420	+	11.7420i	0.492250	+	0.492250i	−0.416764	+	0.909015i	$0.636836\pi$
$570$	3.36485	−	6.67483i	0.140938	−	0.279578i
$571$	1.51372	+	2.62184i	0.0633471	+	0.109720i	0.895960	−	0.444136i	$-0.146489\pi$
$571$	1.51372	+	2.62184i	0.0633471	+	0.109720i	−0.832612	+	0.553856i	$0.813156\pi$
$572$	30.5137	−	17.6171i	1.27584	−	0.736608i
$573$	−8.16108	−	4.71180i	−0.340934	−	0.196838i
$574$	−1.82593	−	6.81445i	−0.0762127	−	0.284430i
$575$	−22.8078	+	2.59611i	−0.951150	+	0.108265i
$576$	−2.39658	+	1.38366i	−0.0998573	+	0.0576526i
$577$	−24.0127	+	13.8637i	−0.999662	+	0.577155i	−0.908148	−	0.418649i	$-0.862504\pi$
$577$	−24.0127	+	13.8637i	−0.999662	+	0.577155i	−0.0915135	+	0.995804i	$0.529170\pi$
$578$	2.70268			0.112417
$579$	−2.72174	+	0.729289i	−0.113112	+	0.0303082i
$580$	11.6207	−	3.83122i	0.482522	−	0.159083i
$581$	11.8268			0.490660
$582$	−0.216782	+	0.216782i	−0.00898591	+	0.00898591i
$583$	−8.74428	+	32.6341i	−0.362151	+	1.35157i
$584$	6.42799	+	6.42799i	0.265992	+	0.265992i
$585$	−2.30088	−	40.5587i	−0.0951298	−	1.67689i
$586$	−11.7189	+	11.7189i	−0.484104	+	0.484104i
$587$	−12.3483	+	21.3879i	−0.509668	+	0.882771i	0.490269	+	0.871571i	$0.336899\pi$
$587$	−12.3483	+	21.3879i	−0.509668	+	0.882771i	−0.999937	+	0.0112003i	$0.996435\pi$
$588$	−0.388305	−	1.44918i	−0.0160134	−	0.0597630i
$589$	−37.3782	−	21.5803i	−1.54014	−	0.889201i
$590$	3.03725	+	9.21241i	0.125041	+	0.379269i
$591$			1.28846i			0.0530002i
$592$	3.53553	+	4.94975i	0.145310	+	0.203433i
$593$	−13.6561	+	13.6561i	−0.560788	+	0.560788i	−0.929531	−	0.368743i	$-0.879788\pi$
$593$	−13.6561	+	13.6561i	−0.560788	+	0.560788i	0.368743	+	0.929531i	$0.379788\pi$
$594$	3.86432	−	14.4218i	0.158555	−	0.591735i
$595$	11.1043	−	12.4400i	0.455234	−	0.509991i
$596$	17.1132	+	9.88034i	0.700986	+	0.404714i
$597$	−5.44701	−	3.14483i	−0.222931	−	0.128709i
$598$	30.1401			1.23252
$599$	−13.3411	−	7.70246i	−0.545101	−	0.314714i	0.202043	−	0.979377i	$-0.435242\pi$
$599$	−13.3411	−	7.70246i	−0.545101	−	0.314714i	−0.747144	+	0.664663i	$0.768575\pi$
$600$	2.24409	−	0.883688i	0.0916144	−	0.0360764i
$601$	−15.0549	−	26.0759i	−0.614103	−	1.06366i	−0.990541	−	0.137216i	$-0.956185\pi$
$601$	−15.0549	−	26.0759i	−0.614103	−	1.06366i	0.376438	−	0.926442i	$-0.377149\pi$
$602$	−4.52876	−	4.52876i	−0.184578	−	0.184578i
$603$	−9.86504	−	9.86504i	−0.401735	−	0.401735i
$604$	0.431688	−	0.249235i	0.0175651	−	0.0101412i
$605$	39.7478	−	2.25488i	1.61598	−	0.0916740i
$606$	5.49890	−	5.49890i	0.223377	−	0.223377i
$607$	15.2743	+	26.4558i	0.619964	+	1.07381i	0.989492	+	0.144589i	$0.0461859\pi$
$607$	15.2743	+	26.4558i	0.619964	+	1.07381i	−0.369528	+	0.929219i	$0.620481\pi$
$608$	6.69417	+	1.79370i	0.271484	+	0.0727441i
$609$	5.02836	+	1.34734i	0.203759	+	0.0545972i
$610$	19.1796	−	21.4866i	0.776560	−	0.869967i
$611$	23.0067	−	6.16462i	0.930750	−	0.249394i
$612$	5.23188	+	9.06188i	0.211486	+	0.366305i
$613$	4.51456	−	16.8486i	0.182341	−	0.680507i	−0.812843	−	0.582483i	$-0.802081\pi$
$613$	4.51456	−	16.8486i	0.182341	−	0.680507i	0.995184	−	0.0980240i	$-0.0312522\pi$
$614$	−16.5723	−	4.44054i	−0.668805	−	0.179206i
$615$	−3.77734	−	0.785901i	−0.152317	−	0.0316906i
$616$	−2.73957	−	10.2242i	−0.110380	−	0.411945i
$617$	9.63923	+	2.58283i	0.388061	+	0.103981i	0.447574	−	0.894247i	$-0.352288\pi$
$617$	9.63923	+	2.58283i	0.388061	+	0.103981i	−0.0595130	+	0.998228i	$0.518955\pi$
$618$	6.23001	−	6.23001i	0.250608	−	0.250608i
$619$	0.193638			0.00778297			0.00389148	−	0.999992i	$-0.498761\pi$
$619$	0.193638			0.00778297			0.00389148	+	0.999992i	$0.498761\pi$
$620$	−4.36033	−	13.2255i	−0.175115	−	0.531150i
$621$	9.03110	−	9.03110i	0.362406	−	0.362406i
$622$	2.45310	+	9.15508i	0.0983602	+	0.367085i
$623$		−	31.0335i		−	1.24333i
$624$	−3.05881	+	0.819606i	−0.122450	+	0.0328105i
$625$	24.3605	−	5.61850i	0.974419	−	0.224740i
$626$	8.73552	−	15.1304i	0.349142	−	0.604731i
$627$	−15.5377	+	8.97067i	−0.620514	+	0.358254i
$628$	3.75812	+	3.75812i	0.149965	+	0.149965i
$629$	18.7159	−	13.3685i	0.746251	−	0.533037i
$630$	−11.9482	−	2.48589i	−0.476026	−	0.0990404i
$631$	−37.3679	−	10.0127i	−1.48759	−	0.398599i	−0.578670	−	0.815562i	$-0.696428\pi$
$631$	−37.3679	−	10.0127i	−1.48759	−	0.398599i	−0.908924	+	0.416963i	$0.863095\pi$
$632$	1.70817	+	6.37497i	0.0679473	+	0.253583i
$633$	11.5389	−	3.09184i	0.458630	−	0.122890i
$634$	0.749376	+	2.79671i	0.0297615	+	0.111071i
$635$	−0.587752	+	2.82496i	−0.0233242	+	0.112105i
$636$	1.51824	−	2.62968i	0.0602023	−	0.104273i
$637$			20.4193i			0.809040i
$638$	−28.3677	−	7.60111i	−1.12309	−	0.300931i
$639$			16.6412i			0.658315i
$640$	1.22592	+	1.87006i	0.0484587	+	0.0739206i
$641$	11.0406	+	19.1229i	0.436077	+	0.755308i	0.997383	−	0.0723007i	$-0.0230341\pi$
$641$	11.0406	+	19.1229i	0.436077	+	0.755308i	−0.561306	+	0.827609i	$0.689701\pi$
$642$	−0.519317	−	0.299828i	−0.0204958	−	0.0118333i
$643$			27.4386i			1.08207i	0.841000	+	0.541035i	$0.181968\pi$
$643$			27.4386i			1.08207i	−0.841000	+	0.541035i	$0.818032\pi$
$644$	2.34348	−	8.74600i	0.0923462	−	0.344641i
$645$	−3.32651	+	1.09672i	−0.130981	+	0.0431832i
$646$	6.78229	−	25.3119i	0.266846	−	0.995882i
$647$	−4.12394	+	7.14288i	−0.162129	+	0.280816i	−0.935632	−	0.352977i	$-0.885169\pi$
$647$	−4.12394	+	7.14288i	−0.162129	+	0.280816i	0.773503	+	0.633793i	$0.218503\pi$
$648$	3.48004	−	6.02761i	0.136709	−	0.236787i
$649$	6.02587	−	22.4889i	0.236536	−	0.882765i
$650$	−32.6145	+	3.71237i	−1.27925	+	0.145611i
$651$	1.53342	−	5.72280i	0.0600994	−	0.224294i
$652$			14.2123i			0.556595i
$653$	−32.7637	−	18.9161i	−1.28214	−	0.740244i	−0.304902	−	0.952384i	$-0.598624\pi$
$653$	−32.7637	−	18.9161i	−1.28214	−	0.740244i	−0.977239	+	0.212139i	$0.931957\pi$
$654$	−1.13300	−	1.96242i	−0.0443040	−	0.0767367i
$655$	−12.6166	−	2.62497i	−0.492972	−	0.102566i
$656$		−	3.57709i		−	0.139662i
$657$	−24.2993	−	6.51099i	−0.948008	−	0.254018i
$658$		−	7.15536i		−	0.278945i
$659$	−5.45357	+	9.44587i	−0.212441	+	0.367959i	−0.952478	−	0.304608i	$-0.901475\pi$
$659$	−5.45357	+	9.44587i	−0.212441	+	0.367959i	0.740037	+	0.672566i	$0.234808\pi$
$660$	−5.66741	−	1.17914i	−0.220604	−	0.0458981i
$661$	2.37617	+	8.86799i	0.0924223	+	0.344925i	0.996616	−	0.0821978i	$-0.0261939\pi$
$661$	2.37617	+	8.86799i	0.0924223	+	0.344925i	−0.904194	+	0.427123i	$0.859527\pi$
$662$	6.14644	−	1.64693i	0.238888	−	0.0640099i
$663$	3.09908	+	11.5659i	0.120358	+	0.449183i
$664$	5.79235	+	1.55206i	0.224787	+	0.0602315i
$665$	16.7561	+	25.5603i	0.649773	+	0.991185i
$666$	−15.3220	−	6.97045i	−0.593714	−	0.270100i
$667$	−17.7642	−	17.7642i	−0.687832	−	0.687832i
$668$	9.19015	−	5.30594i	0.355578	−	0.205293i
$669$	−7.17665	+	12.4303i	−0.277465	+	0.480584i
$670$	−7.50692	+	8.40987i	−0.290018	+	0.324902i
$671$	−66.7735	+	17.8919i	−2.57776	+	0.690709i
$672$			0.951328i			0.0366983i
$673$	−8.82427	−	32.9326i	−0.340150	−	1.26946i	−0.898176	−	0.439635i	$-0.855108\pi$
$673$	−8.82427	−	32.9326i	−0.340150	−	1.26946i	0.558026	−	0.829824i	$-0.311559\pi$
$674$	−4.32652	+	4.32652i	−0.166651	+	0.166651i
$675$	−8.66017	+	10.8849i	−0.333330	+	0.418960i
$676$	30.0994			1.15767
$677$	6.22348	−	6.22348i	0.239188	−	0.239188i	−0.577326	−	0.816514i	$-0.695904\pi$
$677$	6.22348	−	6.22348i	0.239188	−	0.239188i	0.816514	+	0.577326i	$0.195904\pi$
$678$	−0.887157	−	0.237713i	−0.0340711	−	0.00912932i
$679$	−0.324428	−	1.21078i	−0.0124504	−	0.0464656i
$680$	7.07103	−	4.63542i	0.271162	−	0.177760i
$681$	−3.16561	−	0.848222i	−0.121306	−	0.0325039i
$682$	−8.65086	+	32.2855i	−0.331259	+	1.23627i
$683$	2.09601	+	3.63039i	0.0802015	+	0.138913i	0.903336	−	0.428933i	$-0.141110\pi$
$683$	2.09601	+	3.63039i	0.0802015	+	0.138913i	−0.823135	+	0.567846i	$0.807777\pi$
$684$	−18.5250	+	4.96375i	−0.708320	+	0.189794i
$685$	−2.68681	−	2.39833i	−0.102658	−	0.0916354i
$686$	19.2604	+	5.16081i	0.735366	+	0.197041i
$687$	2.21217	+	0.592750i	0.0843996	+	0.0226148i
$688$	−1.62370	−	2.81234i	−0.0619031	−	0.107219i
$689$	−29.2227	+	29.2227i	−1.11329	+	1.11329i
$690$	−3.69417	−	3.29754i	−0.140635	−	0.125535i
$691$	−24.0071	+	13.8605i	−0.913273	+	0.527278i	−0.881483	−	0.472216i	$-0.843454\pi$
$691$	−24.0071	+	13.8605i	−0.913273	+	0.527278i	−0.0317902	+	0.999495i	$0.510121\pi$
$692$	−8.47941	−	8.47941i	−0.322339	−	0.322339i
$693$	20.7125	+	20.7125i	0.786801	+	0.786801i
$694$	−10.9346	−	18.9392i	−0.415070	−	0.718923i
$695$	−12.7986	−	19.5234i	−0.485478	−	0.740564i
$696$	2.28589	+	1.31976i	0.0866465	+	0.0500254i
$697$	−13.5256			−0.512319
$698$	−10.6516	−	6.14968i	−0.403167	−	0.232769i
$699$	4.72098	+	2.72566i	0.178564	+	0.103094i
$700$	−1.45863	+	9.75267i	−0.0551309	+	0.368616i
$701$	−3.85344	+	14.3812i	−0.145542	+	0.543171i	0.854188	+	0.519964i	$0.174055\pi$
$701$	−3.85344	+	14.3812i	−0.145542	+	0.543171i	−0.999731	+	0.0232075i	$0.992612\pi$
$702$	12.9142	−	12.9142i	0.487416	−	0.487416i
$703$	14.7891	+	39.4761i	0.557782	+	1.48887i
$704$		−	5.36697i		−	0.202275i
$705$	−3.49431	−	1.76151i	−0.131603	−	0.0663425i
$706$	−20.9691	−	12.1065i	−0.789183	−	0.455635i
$707$	8.22946	+	30.7127i	0.309501	+	1.15507i
$708$	−1.04626	+	1.81217i	−0.0393207	+	0.0681054i
$709$	−2.95851	+	2.95851i	−0.111109	+	0.111109i	−0.760476	−	0.649366i	$-0.775034\pi$
$709$	−2.95851	+	2.95851i	−0.111109	+	0.111109i	0.649366	+	0.760476i	$0.275034\pi$
$710$	13.4249	−	0.761591i	0.503827	−	0.0285820i
$711$	−12.9146	−	12.9146i	−0.484334	−	0.484334i
$712$	4.07258	−	15.1991i	0.152626	−	0.569609i
$713$	−20.2175	+	20.2175i	−0.757152	+	0.757152i
$714$	3.59714			0.134620
$715$	70.3524	+	35.4653i	2.63103	+	1.32633i
$716$	6.40815	−	1.71706i	0.239484	−	0.0641695i
$717$	2.42441			0.0905411
$718$	−4.68078	+	2.70245i	−0.174685	+	0.100855i
$719$	7.90486	−	4.56388i	0.294802	−	0.170204i	−0.345304	−	0.938491i	$-0.612224\pi$
$719$	7.90486	−	4.56388i	0.294802	−	0.170204i	0.640105	+	0.768287i	$0.278891\pi$
$720$	−5.52554	−	2.78548i	−0.205925	−	0.103809i
$721$	9.32361	+	34.7962i	0.347229	+	1.29588i
$722$	25.1401	+	14.5146i	0.935617	+	0.540179i
$723$	3.79131	−	2.18891i	0.141000	−	0.0814066i
$724$	−3.44262	−	5.96279i	−0.127944	−	0.221605i
$725$	21.4106	+	17.0346i	0.795170	+	0.632648i
$726$	6.07272	+	6.07272i	0.225380	+	0.225380i
$727$	12.5926	−	21.8110i	0.467034	−	0.808926i	−0.532257	−	0.846583i	$-0.678656\pi$
$727$	12.5926	−	21.8110i	0.467034	−	0.808926i	0.999291	+	0.0376568i	$0.0119894\pi$
$728$	3.35112	−	12.5065i	0.124201	−	0.463523i
$729$			15.2351i			0.564263i
$730$	−4.14052	+	19.9009i	−0.153248	+	0.736566i
$731$	−10.6340	+	6.13951i	−0.393311	+	0.227078i
$732$	6.21305			0.229641
$733$	23.5994	−	6.32344i	0.871664	−	0.233562i	0.204857	−	0.978792i	$-0.434327\pi$
$733$	23.5994	−	6.32344i	0.871664	−	0.233562i	0.666807	+	0.745230i	$0.267661\pi$
$734$	−18.7762	−	18.7762i	−0.693043	−	0.693043i
$735$	2.23401	−	2.50273i	0.0824028	−	0.0923144i
$736$	2.29550	−	3.97593i	0.0846134	−	0.146555i
$737$	26.1352	−	7.00291i	0.962703	−	0.257955i
$738$	4.94949	+	8.57277i	0.182193	+	0.315568i
$739$	13.6836			0.503358			0.251679	−	0.967811i	$-0.419017\pi$
$739$	13.6836			0.503358			0.251679	+	0.967811i	$0.419017\pi$
$740$	−4.92204	+	12.6796i	−0.180938	+	0.466113i
$741$	−21.9463			−0.806219
$742$	6.20763	+	10.7519i	0.227889	+	0.394716i
$743$	28.0270	−	7.50981i	1.02821	−	0.275508i	0.294991	−	0.955500i	$-0.404683\pi$
$743$	28.0270	−	7.50981i	1.02821	−	0.275508i	0.733220	+	0.679992i	$0.238017\pi$
$744$	1.50203	−	2.60158i	0.0550669	−	0.0953787i
$745$	2.50265	+	44.1153i	0.0916900	+	1.61626i
$746$	8.24713	+	8.24713i	0.301949	+	0.301949i
$747$	−16.0293	+	4.29505i	−0.586483	+	0.157148i
$748$	−20.2935			−0.742002
$749$	2.12333	−	1.22590i	0.0775847	−	0.0447936i
$750$	4.40362	+	3.11324i	0.160797	+	0.113680i
$751$			8.25347i			0.301173i	0.988597	+	0.150587i	$0.0481163\pi$
$751$			8.25347i			0.301173i	−0.988597	+	0.150587i	$0.951884\pi$
$752$	0.939010	−	3.50443i	0.0342422	−	0.127793i
$753$	2.71529	−	4.70301i	0.0989505	−	0.171387i
$754$	−25.4023	−	25.4023i	−0.925097	−	0.925097i
$755$	0.995298	+	0.501739i	0.0362226	+	0.0182602i
$756$	−2.74331	−	4.75155i	−0.0997732	−	0.172812i
$757$	−6.27763	+	3.62439i	−0.228164	+	0.131731i	−0.609725	−	0.792613i	$-0.708720\pi$
$757$	−6.27763	+	3.62439i	−0.228164	+	0.131731i	0.381561	+	0.924344i	$0.375387\pi$
$758$	19.3379	+	11.1647i	0.702384	+	0.405522i
$759$	3.07614	+	11.4803i	0.111657	+	0.416709i
$760$	4.85220	+	14.7174i	0.176008	+	0.533857i
$761$	30.3145	−	17.5021i	1.09890	−	0.634450i	0.162968	−	0.986631i	$-0.447893\pi$
$761$	30.3145	−	17.5021i	1.09890	−	0.634450i	0.935932	+	0.352181i	$0.114560\pi$
$762$	−0.539054	+	0.311223i	−0.0195279	+	0.0112744i
$763$	9.26501			0.335416
$764$	18.8707	−	5.05639i	0.682718	−	0.182934i
$765$	−10.5324	+	20.8931i	−0.380799	+	0.755390i
$766$	16.8457			0.608660
$767$	20.1380	−	20.1380i	0.727140	−	0.727140i
$768$	−0.124844	+	0.465926i	−0.00450494	+	0.0168127i
$769$	27.2577	+	27.2577i	0.982937	+	0.982937i	0.999857	−	0.0169197i	$-0.00538596\pi$
$769$	27.2577	+	27.2577i	0.982937	+	0.982937i	−0.0169197	+	0.999857i	$0.505386\pi$
$770$	15.7614	−	17.6572i	0.568001	−	0.636322i
$771$	8.76358	−	8.76358i	0.315613	−	0.315613i
$772$	2.92079	−	5.05896i	0.105122	−	0.182076i
$773$	−1.10703	−	4.13148i	−0.0398170	−	0.148599i	0.943156	−	0.332352i	$-0.107842\pi$
$773$	−1.10703	−	4.13148i	−0.0398170	−	0.148599i	−0.982973	+	0.183753i	$0.941175\pi$
$774$	7.78266	+	4.49332i	0.279742	+	0.161509i
$775$	19.3871	−	24.3675i	0.696406	−	0.875307i
$776$		−	0.635573i		−	0.0228157i
$777$	−4.70883	+	3.36345i	−0.168928	+	0.120663i
$778$	−9.07087	+	9.07087i	−0.325206	+	0.325206i
$779$	6.41622	−	23.9457i	0.229885	−	0.857942i
$780$	−5.28257	−	4.71539i	−0.189146	−	0.168838i
$781$	−27.9501	−	16.1370i	−1.00013	−	0.577427i
$782$	−15.0337	−	8.67972i	−0.537604	−	0.310386i
$783$	−15.2230			−0.544025
$784$	2.69361	+	1.55516i	0.0962004	+	0.0555413i
$785$	−2.42075	+	11.6350i	−0.0864003	+	0.415273i
$786$	−1.38996	−	2.40749i	−0.0495783	−	0.0858722i
$787$	−25.5115	−	25.5115i	−0.909388	−	0.909388i	0.0868345	−	0.996223i	$-0.472325\pi$
$787$	−25.5115	−	25.5115i	−0.909388	−	0.909388i	−0.996223	+	0.0868345i	$0.972325\pi$
$788$	−1.88879	−	1.88879i	−0.0672852	−	0.0672852i
$789$	6.63684	−	3.83178i	0.236278	−	0.136415i
$790$	−9.82749	+	11.0096i	−0.349646	+	0.391703i
$791$	2.65538	−	2.65538i	0.0944143	−	0.0944143i
$792$	7.42608	+	12.8623i	0.263874	+	0.457043i
$793$	−81.6791	−	21.8859i	−2.90051	−	0.777190i
$794$	−6.48006	−	1.73633i	−0.229969	−	0.0616199i
$795$	6.77890	−	0.384565i	0.240423	−	0.0136391i
$796$	12.5950	−	3.37482i	0.446418	−	0.119617i
$797$	1.74443	+	3.02143i	0.0617907	+	0.107025i	0.895266	−	0.445532i	$-0.146986\pi$
$797$	1.74443	+	3.02143i	0.0617907	+	0.107025i	−0.833475	+	0.552557i	$0.813652\pi$
$798$	−1.70640	+	6.36835i	−0.0604057	+	0.225437i
$799$	−13.2509	−	3.55056i	−0.468783	−	0.125610i
$800$	−1.99424	+	4.58508i	−0.0705071	+	0.162107i
$801$	11.2701	+	42.0608i	0.398211	+	1.48614i
$802$	11.3552	+	3.04262i	0.400967	+	0.107439i
$803$	34.4988	−	34.4988i	1.21744	−	1.21744i
$804$	−2.43179			−0.0857627
$805$	19.2285	−	6.33944i	0.677714	−	0.223436i
$806$	−28.9105	+	28.9105i	−1.01833	+	1.01833i
$807$	−1.75995	−	6.56821i	−0.0619531	−	0.231212i
$808$			16.1219i			0.567168i
$809$	14.5067	−	3.88706i	0.510028	−	0.136662i	0.00537798	−	0.999986i	$-0.498288\pi$
$809$	14.5067	−	3.88706i	0.510028	−	0.136662i	0.504650	+	0.863324i	$0.331621\pi$
$810$	15.5382	−	0.881480i	0.545958	−	0.0309720i
$811$	9.36658	−	16.2234i	0.328905	−	0.569680i	−0.653390	−	0.757022i	$-0.726654\pi$
$811$	9.36658	−	16.2234i	0.328905	−	0.569680i	0.982295	+	0.187341i	$0.0599870\pi$
$812$	−9.34631	+	5.39609i	−0.327991	+	0.189366i
$813$	9.33599	+	9.33599i	0.327427	+	0.327427i
$814$	26.5651	−	18.9751i	0.931107	−	0.665077i
$815$	−26.5778	+	17.4231i	−0.930978	+	0.610304i
$816$	1.76175	+	0.472059i	0.0616736	+	0.0165254i
$817$	−5.82487	−	21.7387i	−0.203786	−	0.760541i
$818$	−4.78384	+	1.28183i	−0.167263	+	0.0448180i
$819$	9.27363	+	34.6097i	0.324047	+	1.20936i
$820$	6.68937	−	4.38522i	0.233603	−	0.153139i
$821$	−17.2447	+	29.8687i	−0.601845	+	1.04243i	0.390697	+	0.920519i	$0.372234\pi$
$821$	−17.2447	+	29.8687i	−0.601845	+	1.04243i	−0.992542	+	0.121906i	$0.961099\pi$
$822$		−	0.776914i		−	0.0270980i
$823$	−0.410832	−	0.110082i	−0.0143207	−	0.00383722i	0.251652	−	0.967818i	$-0.419026\pi$
$823$	−0.410832	−	0.110082i	−0.0143207	−	0.00383722i	−0.265972	+	0.963981i	$0.585693\pi$
$824$			18.2655i			0.636307i
$825$	−4.74272	−	12.0439i	−0.165120	−	0.419316i
$826$	−4.27782	−	7.40939i	−0.148844	−	0.257806i
$827$	−38.0829	−	21.9872i	−1.32427	−	0.764570i	−0.339866	−	0.940474i	$-0.610382\pi$
$827$	−38.0829	−	21.9872i	−1.32427	−	0.764570i	−0.984407	+	0.175904i	$0.943715\pi$
$828$			12.7048i			0.441523i
$829$	−12.9861	+	48.4649i	−0.451027	+	1.68326i	0.248486	+	0.968635i	$0.420067\pi$
$829$	−12.9861	+	48.4649i	−0.451027	+	1.68326i	−0.699513	+	0.714620i	$0.746600\pi$
$830$	4.19852	+	12.7347i	0.145733	+	0.442029i
$831$	−0.525131	+	1.95982i	−0.0182166	+	0.0679853i
$832$	3.28251	−	5.68547i	0.113801	−	0.197108i
$833$	5.88033	−	10.1850i	0.203741	−	0.352890i
$834$	1.30337	−	4.86426i	0.0451321	−	0.168435i
$835$	21.1888	+	10.6815i	0.733269	+	0.369648i
$836$	9.62672	−	35.9274i	0.332947	−	1.24257i
$837$			17.3253i			0.598852i
$838$	−26.1044	−	15.0714i	−0.901761	−	0.520632i
$839$	27.7780	+	48.1130i	0.959004	+	1.66104i	0.724926	+	0.688827i	$0.241874\pi$
$839$	27.7780	+	48.1130i	0.959004	+	1.66104i	0.234079	+	0.972218i	$0.424793\pi$
$840$	−1.77904	+	1.16625i	−0.0613827	+	0.0402395i
$841$			0.943618i			0.0325385i
$842$	−9.56892	−	2.56398i	−0.329767	−	0.0883607i
$843$		−	14.9426i		−	0.514650i
$844$	−12.3828	+	21.4476i	−0.426233	+	0.738257i
$845$	36.8995	+	56.2877i	1.26938	+	1.93636i
$846$	2.59855	+	9.69791i	0.0893399	+	0.333421i
$847$	−33.9177	+	9.08822i	−1.16543	+	0.312275i
$848$	1.62928	+	6.08055i	0.0559496	+	0.208807i
$849$	6.48474	+	1.73758i	0.222556	+	0.0596337i
$850$	17.3370	+	7.54059i	0.594655	+	0.258640i
$851$	27.7957	−	2.69487i	0.952824	−	0.0923789i
$852$	2.05108	+	2.05108i	0.0702687	+	0.0702687i
$853$	−17.0929	+	9.86858i	−0.585249	+	0.337894i	−0.763217	−	0.646143i	$-0.776381\pi$
$853$	−17.0929	+	9.86858i	−0.585249	+	0.337894i	0.177967	+	0.984036i	$0.443048\pi$
$854$	−12.7016	+	21.9998i	−0.434640	+	0.752819i
$855$	−31.9926	−	28.5576i	−1.09412	−	0.976650i
$856$	1.20081	−	0.321755i	0.0410427	−	0.0109974i
$857$			2.19062i			0.0748301i	0.999300	+	0.0374150i	$0.0119124\pi$
$857$			2.19062i			0.0748301i	−0.999300	+	0.0374150i	$0.988088\pi$
$858$	4.39880	+	16.4165i	0.150172	+	0.560451i
$859$	23.7052	−	23.7052i	0.808810	−	0.808810i	−0.175644	−	0.984454i	$-0.556201\pi$
$859$	23.7052	−	23.7052i	0.808810	−	0.808810i	0.984454	+	0.175644i	$0.0562006\pi$
$860$	3.26871	−	6.48412i	0.111462	−	0.221107i
$861$	3.40299			0.115973
$862$	1.89371	−	1.89371i	0.0645000	−	0.0645000i
$863$	−16.6277	−	4.45538i	−0.566013	−	0.151663i	−0.0355458	−	0.999368i	$-0.511317\pi$
$863$	−16.6277	−	4.45538i	−0.566013	−	0.151663i	−0.530468	+	0.847705i	$0.677984\pi$
$864$	−0.720019	−	2.68715i	−0.0244955	−	0.0914186i
$865$	5.46193	−	26.2521i	0.185711	−	0.892598i
$866$	24.4093	+	6.54045i	0.829461	+	0.222253i
$867$	−0.337415	+	1.25925i	−0.0114592	+	0.0427663i
$868$	6.14132	+	10.6371i	0.208450	+	0.361046i
$869$	34.2142	−	9.16768i	1.16064	−	0.310992i
$870$	0.334290	+	5.89267i	0.0113335	+	0.199780i
$871$	31.9693	+	8.56614i	1.08324	+	0.290253i
$872$	4.53766	+	1.21586i	0.153665	+	0.0411743i
$873$	0.879419	+	1.52320i	0.0297638	+	0.0515525i
$874$	22.4981	−	22.4981i	0.761010	−	0.761010i
$875$	−20.0262	+	9.22827i	−0.677010	+	0.311973i
$876$	−3.79747	+	2.19247i	−0.128305	+	0.0740766i
$877$	−1.32377	−	1.32377i	−0.0447005	−	0.0447005i	0.684403	−	0.729104i	$-0.260063\pi$
$877$	−1.32377	−	1.32377i	−0.0447005	−	0.0447005i	−0.729104	+	0.684403i	$0.760063\pi$
$878$	−10.0102	−	10.0102i	−0.337828	−	0.337828i
$879$	−3.99710	−	6.92319i	−0.134819	−	0.233513i
$880$	10.0365	−	6.57947i	0.338332	−	0.221794i
$881$	8.51804	+	4.91789i	0.286980	+	0.165688i	0.636579	−	0.771211i	$-0.280349\pi$
$881$	8.51804	+	4.91789i	0.286980	+	0.165688i	−0.349599	+	0.936899i	$0.613682\pi$
$882$	−8.60725			−0.289821
$883$	23.9076	+	13.8030i	0.804554	+	0.464510i	0.845061	−	0.534670i	$-0.179564\pi$
$883$	23.9076	+	13.8030i	0.804554	+	0.464510i	−0.0405070	+	0.999179i	$0.512897\pi$
$884$	−21.4978	−	12.4118i	−0.723049	−	0.417452i
$885$	−4.67149	+	0.265012i	−0.157030	+	0.00890829i
$886$	7.76148	−	28.9662i	0.260752	−	0.973140i
$887$	−20.9681	+	20.9681i	−0.704041	+	0.704041i	−0.965275	−	0.261235i	$-0.915870\pi$
$887$	−20.9681	+	20.9681i	−0.704041	+	0.704041i	0.261235	+	0.965275i	$0.415870\pi$
$888$	−2.74761	+	1.02935i	−0.0922037	+	0.0345427i
$889$		−	2.54499i		−	0.0853563i
$890$	33.4158	−	11.0169i	1.12010	−	0.369286i
$891$	−32.3500	−	18.6773i	−1.08376	−	0.625712i
$892$	−7.70149	−	28.7424i	−0.257865	−	0.962366i
$893$	12.5718	−	21.7750i	0.420699	−	0.728672i
$894$	−6.74000	+	6.74000i	−0.225419	+	0.225419i
$895$	11.0669	+	9.87865i	0.369925	+	0.330207i
$896$	−1.39458	−	1.39458i	−0.0465895	−	0.0465895i
$897$	−3.76282	+	14.0430i	−0.125637	+	0.468883i
$898$	6.29791	−	6.29791i	0.210164	−	0.210164i
$899$	34.0790			1.13660
$900$	−1.56486	−	13.7479i	−0.0521621	−	0.458262i
$901$	22.9916	−	6.16059i	0.765962	−	0.205239i
$902$	−19.1981			−0.639227
$903$	2.67546	−	1.54467i	0.0890336	−	0.0514036i
$904$	1.64898	−	0.952037i	0.0548441	−	0.0316643i
$905$	6.93040	−	13.7478i	0.230374	−	0.456993i
$906$	0.0622312	+	0.232250i	0.00206749	+	0.00771599i
$907$	6.90816	+	3.98843i	0.229382	+	0.132434i	0.610287	−	0.792181i	$-0.291054\pi$
$907$	6.90816	+	3.98843i	0.229382	+	0.132434i	−0.380905	+	0.924614i	$0.624388\pi$
$908$	5.88398	−	3.39712i	0.195267	−	0.112737i
$909$	−22.3074	−	38.6375i	−0.739888	−	1.28152i
$910$	27.4962	−	9.06522i	0.911489	−	0.300509i
$911$	19.2508	+	19.2508i	0.637809	+	0.637809i	0.950015	−	0.312206i	$-0.101068\pi$
$911$	19.2508	+	19.2508i	0.637809	+	0.637809i	−0.312206	+	0.950015i	$0.601068\pi$
$912$	−1.67146	+	2.89505i	−0.0553476	+	0.0958648i
$913$	8.32983	−	31.0874i	0.275677	−	1.02884i
$914$			21.8461i			0.722606i
$915$	7.61669	+	11.6188i	0.251800	+	0.384104i
$916$	−4.11181	+	2.37395i	−0.135858	+	0.0784376i
$917$	11.3663			0.375347
$918$	−10.1606	+	2.72252i	−0.335349	+	0.0898566i
$919$	−4.89008	−	4.89008i	−0.161309	−	0.161309i	0.621838	−	0.783146i	$-0.286386\pi$
$919$	−4.89008	−	4.89008i	−0.161309	−	0.161309i	−0.783146	+	0.621838i	$0.786386\pi$
$920$	10.2493	−	0.581442i	0.337910	−	0.0191696i
$921$	4.13793	−	7.16710i	0.136349	−	0.236164i
$922$	22.1526	−	5.93578i	0.729558	−	0.195484i
$923$	−19.7392	−	34.1893i	−0.649723	−	1.12535i
$924$	5.10575			0.167967
$925$	−29.7457	+	6.33973i	−0.978033	+	0.208449i
$926$	−36.8209			−1.21001
$927$	−25.2733	−	43.7746i	−0.830082	−	1.43774i
$928$	−5.28562	+	1.41628i	−0.173509	+	0.0464916i
$929$	−1.19241	+	2.06531i	−0.0391216	+	0.0677606i	−0.884923	−	0.465737i	$-0.845789\pi$
$929$	−1.19241	+	2.06531i	−0.0391216	+	0.0677606i	0.845802	+	0.533498i	$0.179123\pi$
$930$	6.70648	−	0.380457i	0.219914	−	0.0124757i
$931$	15.2420	+	15.2420i	0.499537	+	0.499537i
$932$	−10.9162	+	2.92499i	−0.357573	+	0.0958114i
$933$	−4.57184			−0.149675
$934$	4.48488	−	2.58935i	0.146750	−	0.0847260i
$935$	−24.8782	−	37.9500i	−0.813603	−	1.24110i
$936$			18.1675i			0.593825i
$937$	−15.1811	+	56.6567i	−0.495945	+	1.85089i	0.0287247	+	0.999587i	$0.490855\pi$
$937$	−15.1811	+	56.6567i	−0.495945	+	1.85089i	−0.524670	+	0.851306i	$0.675811\pi$
$938$	4.97142	−	8.61075i	0.162323	−	0.281151i
$939$	5.95905	+	5.95905i	0.194466	+	0.194466i
$940$	7.70465	−	2.54015i	0.251298	−	0.0828505i
$941$	−12.6032	−	21.8293i	−0.410852	−	0.711616i	0.584131	−	0.811659i	$-0.301435\pi$
$941$	−12.6032	−	21.8293i	−0.410852	−	0.711616i	−0.994983	+	0.100043i	$0.968102\pi$
$942$	−2.22018	+	1.28182i	−0.0723375	+	0.0417641i
$943$	−14.2223	−	8.21123i	−0.463141	−	0.267394i
$944$	−1.12277	−	4.19024i	−0.0365431	−	0.136381i
$945$	5.52261	−	10.9552i	0.179650	−	0.356372i
$946$	−15.0937	+	8.71436i	−0.490739	+	0.283328i
$947$	22.9283	−	13.2377i	0.745071	−	0.430167i	−0.0788395	−	0.996887i	$-0.525121\pi$
$947$	22.9283	−	13.2377i	0.745071	−	0.430167i	0.823910	+	0.566721i	$0.191788\pi$
$948$	−3.18352			−0.103396
$949$	57.6461	−	15.4462i	1.87127	−	0.501406i
$950$	−21.5741	+	27.1163i	−0.699955	+	0.879768i
$951$	−1.39661			−0.0452883
$952$	−5.27314	+	5.27314i	−0.170904	+	0.170904i
$953$	0.442171	−	1.65020i	0.0143233	−	0.0534554i	−0.958394	−	0.285448i	$-0.907858\pi$
$953$	0.442171	−	1.65020i	0.0143233	−	0.0534554i	0.972718	+	0.231992i	$0.0745244\pi$
$954$	−12.3181	−	12.3181i	−0.398814	−	0.398814i
$955$	32.5897	+	29.0906i	1.05458	+	0.941349i
$956$	−3.55400	+	3.55400i	−0.114945	+	0.114945i
$957$	7.08311	−	12.2683i	0.228964	−	0.396578i
$958$	5.07969	+	18.9576i	0.164117	+	0.612494i
$959$	2.75098	+	1.58828i	0.0888339	+	0.0512883i
$960$	−1.02436	+	0.337721i	−0.0330610	+	0.0108999i
$961$		−	7.78544i		−	0.251143i
$962$	39.7471	−	3.85359i	1.28150	−	0.124245i
$963$	−2.43262	+	2.43262i	−0.0783902	+	0.0783902i
$964$	−2.34899	+	8.76657i	−0.0756560	+	0.282352i
$965$	13.0412	−	0.739824i	0.419811	−	0.0238158i
$966$	3.78241	+	2.18378i	0.121697	+	0.0702619i
$967$	−4.06319	−	2.34589i	−0.130664	−	0.0754386i	0.433243	−	0.901277i	$-0.357369\pi$
$967$	−4.06319	−	2.34589i	−0.130664	−	0.0754386i	−0.563907	+	0.825838i	$0.690702\pi$
$968$	−17.8043			−0.572253
$969$	10.9467	+	6.32009i	0.351659	+	0.203031i
$970$	1.18856	−	0.779161i	0.0381623	−	0.0250174i
$971$	−5.76350	−	9.98268i	−0.184960	−	0.320359i	0.758603	−	0.651553i	$-0.225882\pi$
$971$	−5.76350	−	9.98268i	−0.184960	−	0.320359i	−0.943563	+	0.331193i	$0.892549\pi$
$972$	8.27534	+	8.27534i	0.265432	+	0.265432i
$973$	14.5594	+	14.5594i	0.466751	+	0.466751i
$974$	−19.5887	+	11.3095i	−0.627663	+	0.362381i
$975$	2.34205	−	15.6594i	0.0750055	−	0.501502i
$976$	−9.10786	+	9.10786i	−0.291536	+	0.291536i
$977$	5.66864	+	9.81837i	0.181356	+	0.314117i	0.942342	−	0.334650i	$-0.108618\pi$
$977$	5.66864	+	9.81837i	0.181356	+	0.314117i	−0.760987	+	0.648767i	$0.775285\pi$
$978$	−6.62186	−	1.77432i	−0.211744	−	0.0567365i
$979$	−81.5728	−	21.8574i	−2.60708	−	0.698565i
$980$	0.393915	+	6.94371i	0.0125831	+	0.221809i
$981$	−12.5572	+	3.36469i	−0.400921	+	0.107426i
$982$	−2.69259	−	4.66370i	−0.0859239	−	0.148825i
$983$	−7.22092	+	26.9488i	−0.230311	+	0.859534i	0.749895	+	0.661557i	$0.230104\pi$
$983$	−7.22092	+	26.9488i	−0.230311	+	0.859534i	−0.980207	+	0.197977i	$0.936563\pi$
$984$	1.66666	+	0.446580i	0.0531311	+	0.0142364i
$985$	1.21664	−	5.84764i	0.0387654	−	0.186321i
$986$	5.35520	+	19.9859i	0.170544	+	0.636480i
$987$	3.33387	+	0.893306i	0.106118	+	0.0284343i
$988$	32.1717	−	32.1717i	1.02352	−	1.02352i
$989$	−14.9089			−0.474075
$990$	−14.9496	+	29.6554i	−0.475128	+	0.942510i
$991$	33.7108	−	33.7108i	1.07086	−	1.07086i	0.0735670	−	0.997290i	$-0.476562\pi$
$991$	33.7108	−	33.7108i	1.07086	−	1.07086i	0.997290	−	0.0735670i	$-0.0234383\pi$
$992$	1.61187	+	6.01559i	0.0511770	+	0.190995i
$993$			3.06940i			0.0974043i
$994$	−11.4558	+	3.06957i	−0.363355	+	0.0973608i
$995$	21.7516	+	19.4161i	0.689571	+	0.615533i
$996$	−1.44629	+	2.50504i	−0.0458273	+	0.0793753i
$997$	2.12136	−	1.22477i	0.0671841	−	0.0387888i	−0.466032	−	0.884768i	$-0.654317\pi$
$997$	2.12136	−	1.22477i	0.0671841	−	0.0387888i	0.533216	+	0.845979i	$0.320983\pi$
$998$	−10.7933	−	10.7933i	−0.341657	−	0.341657i
$999$	10.7550	−	13.0644i	0.340275	−	0.413340i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.e.267.3	✓	16
5.3	odd	4		370.2.r.e.193.3	yes	16
37.14	odd	12		370.2.r.e.347.3	yes	16
185.88	even	12	inner	370.2.q.e.273.3	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.e.267.3	✓	16	1.1	even	1	trivial
370.2.q.e.273.3	yes	16	185.88	even	12	inner
370.2.r.e.193.3	yes	16	5.3	odd	4
370.2.r.e.347.3	yes	16	37.14	odd	12

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.q (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.866025i) q^{2} +(0.465926 - 0.124844i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.23248 + 0.126648i) q^{5} +(-0.341081 - 0.341081i) q^{6} +(1.90503 - 0.510450i) q^{7} +1.00000 q^{8} +(-2.39658 + 1.38366i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.866025i) q^{2} +(0.465926 - 0.124844i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-2.23248 + 0.126648i) q^{5} +(-0.341081 - 0.341081i) q^{6} +(1.90503 - 0.510450i) q^{7} +1.00000 q^{8} +(-2.39658 + 1.38366i) q^{9} +(1.22592 + 1.87006i) q^{10} -5.36697i q^{11} +(-0.124844 + 0.465926i) q^{12} +(3.28251 - 5.68547i) q^{13} +(-1.39458 - 1.39458i) q^{14} +(-1.02436 + 0.337721i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(-3.27460 + 1.89059i) q^{17} +(2.39658 + 1.38366i) q^{18} +(-1.79370 - 6.69417i) q^{19} +(1.00656 - 1.99671i) q^{20} +(0.823874 - 0.475664i) q^{21} +(-4.64793 + 2.68348i) q^{22} -4.59101 q^{23} +(0.465926 - 0.124844i) q^{24} +(4.96792 - 0.565478i) q^{25} -6.56502 q^{26} +(-1.96713 + 1.96713i) q^{27} +(-0.510450 + 1.90503i) q^{28} +(3.86934 + 3.86934i) q^{29} +(0.804654 + 0.718260i) q^{30} +(4.40372 - 4.40372i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.670036 - 2.50061i) q^{33} +(3.27460 + 1.89059i) q^{34} +(-4.18828 + 1.38084i) q^{35} -2.76733i q^{36} +(-6.05437 + 0.586988i) q^{37} +(-4.90047 + 4.90047i) q^{38} +(0.819606 - 3.05881i) q^{39} +(-2.23248 + 0.126648i) q^{40} +(3.09785 + 1.78854i) q^{41} +(-0.823874 - 0.475664i) q^{42} +3.24741 q^{43} +(4.64793 + 2.68348i) q^{44} +(5.17507 - 3.39252i) q^{45} +(2.29550 + 3.97593i) q^{46} +(2.56542 + 2.56542i) q^{47} +(-0.341081 - 0.341081i) q^{48} +(-2.69361 + 1.55516i) q^{49} +(-2.97368 - 4.01961i) q^{50} +(-1.28969 + 1.28969i) q^{51} +(3.28251 + 5.68547i) q^{52} +(-6.08055 - 1.62928i) q^{53} +(2.68715 + 0.720019i) q^{54} +(0.679715 + 11.9816i) q^{55} +(1.90503 - 0.510450i) q^{56} +(-1.67146 - 2.89505i) q^{57} +(1.41628 - 5.28562i) q^{58} +(4.19024 + 1.12277i) q^{59} +(0.219704 - 1.05598i) q^{60} +(-3.33371 - 12.4416i) q^{61} +(-6.01559 - 1.61187i) q^{62} +(-3.85925 + 3.85925i) q^{63} +1.00000 q^{64} +(-6.60808 + 13.1084i) q^{65} +(-1.83057 + 1.83057i) q^{66} +(1.30482 + 4.86964i) q^{67} -3.78118i q^{68} +(-2.13907 + 0.573162i) q^{69} +(3.28998 + 2.93674i) q^{70} +(3.00672 - 5.20780i) q^{71} +(-2.39658 + 1.38366i) q^{72} +(6.42799 + 6.42799i) q^{73} +(3.53553 + 4.94975i) q^{74} +(2.24409 - 0.883688i) q^{75} +(6.69417 + 1.79370i) q^{76} +(-2.73957 - 10.2242i) q^{77} +(-3.05881 + 0.819606i) q^{78} +(1.70817 + 6.37497i) q^{79} +(1.22592 + 1.87006i) q^{80} +(3.48004 - 6.02761i) q^{81} -3.57709i q^{82} +(5.79235 + 1.55206i) q^{83} +0.951328i q^{84} +(7.07103 - 4.63542i) q^{85} +(-1.62370 - 2.81234i) q^{86} +(2.28589 + 1.31976i) q^{87} -5.36697i q^{88} +(4.07258 - 15.1991i) q^{89} +(-5.52554 - 2.78548i) q^{90} +(3.35112 - 12.5065i) q^{91} +(2.29550 - 3.97593i) q^{92} +(1.50203 - 2.60158i) q^{93} +(0.939010 - 3.50443i) q^{94} +(4.85220 + 14.7174i) q^{95} +(-0.124844 + 0.465926i) q^{96} -0.635573i q^{97} +(2.69361 + 1.55516i) q^{98} +(7.42608 + 12.8623i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9}+O(q^{10}) \) 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9	\( 16 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 4 q^{5} - 8 q^{6} + 16 q^{8} - 24 q^{9} - 4 q^{10} + 16 q^{12} - 4 q^{13} + 8 q^{15} - 8 q^{16} + 24 q^{18} - 24 q^{19} + 8 q^{20} - 12 q^{21} - 8 q^{23} - 8 q^{24} + 32 q^{25} + 8 q^{26} + 16 q^{27} + 16 q^{29} - 4 q^{30} + 24 q^{31} - 8 q^{32} + 12 q^{33} - 20 q^{35} - 4 q^{40} - 36 q^{41} + 12 q^{42} - 16 q^{43} + 4 q^{45} + 4 q^{46} + 32 q^{47} - 8 q^{48} + 24 q^{49} - 16 q^{50} - 16 q^{51} - 4 q^{52} - 48 q^{53} - 8 q^{54} - 24 q^{55} + 20 q^{57} - 8 q^{58} - 8 q^{59} - 4 q^{60} + 8 q^{61} - 12 q^{62} + 16 q^{63} + 16 q^{64} + 24 q^{65} - 24 q^{66} - 8 q^{67} - 8 q^{69} + 28 q^{70} + 4 q^{71} - 24 q^{72} + 48 q^{73} - 36 q^{75} + 24 q^{76} - 60 q^{77} + 20 q^{79} - 4 q^{80} + 16 q^{81} + 24 q^{83} + 8 q^{85} + 8 q^{86} + 12 q^{87} - 8 q^{89} - 8 q^{90} - 8 q^{91} + 4 q^{92} + 36 q^{93} - 28 q^{94} + 28 q^{95} + 16 q^{96} - 24 q^{98} + 8 q^{99}+O(q^{100}) \) 16 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 4 * q^5 - 8 * q^6 + 16 * q^8 - 24 * q^9 - 4 * q^10 + 16 * q^12 - 4 * q^13 + 8 * q^15 - 8 * q^16 + 24 * q^18 - 24 * q^19 + 8 * q^20 - 12 * q^21 - 8 * q^23 - 8 * q^24 + 32 * q^25 + 8 * q^26 + 16 * q^27 + 16 * q^29 - 4 * q^30 + 24 * q^31 - 8 * q^32 + 12 * q^33 - 20 * q^35 - 4 * q^40 - 36 * q^41 + 12 * q^42 - 16 * q^43 + 4 * q^45 + 4 * q^46 + 32 * q^47 - 8 * q^48 + 24 * q^49 - 16 * q^50 - 16 * q^51 - 4 * q^52 - 48 * q^53 - 8 * q^54 - 24 * q^55 + 20 * q^57 - 8 * q^58 - 8 * q^59 - 4 * q^60 + 8 * q^61 - 12 * q^62 + 16 * q^63 + 16 * q^64 + 24 * q^65 - 24 * q^66 - 8 * q^67 - 8 * q^69 + 28 * q^70 + 4 * q^71 - 24 * q^72 + 48 * q^73 - 36 * q^75 + 24 * q^76 - 60 * q^77 + 20 * q^79 - 4 * q^80 + 16 * q^81 + 24 * q^83 + 8 * q^85 + 8 * q^86 + 12 * q^87 - 8 * q^89 - 8 * q^90 - 8 * q^91 + 4 * q^92 + 36 * q^93 - 28 * q^94 + 28 * q^95 + 16 * q^96 - 24 * q^98 + 8 * q^99

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