LMFDB - Embedded newform 370.2.q.e.267.1

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			267.1
Root			$0.117630 + 0.893490i$ of defining polynomial
Character	$\chi$	$=$	370.267
Dual form			370.2.q.e.273.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.500000 - 0.866025i) q^{2} +(-1.46593 + 0.392794i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.97882 - 1.04129i) q^{5} +(1.07313 + 1.07313i) q^{6} +(2.06023 - 0.552037i) q^{7} +1.00000 q^{8} +(-0.603425 + 0.348387i) q^{9} +O(q^{10})$	\(q+(-0.500000 - 0.866025i) q^{2} +(-1.46593 + 0.392794i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.97882 - 1.04129i) q^{5} +(1.07313 + 1.07313i) q^{6} +(2.06023 - 0.552037i) q^{7} +1.00000 q^{8} +(-0.603425 + 0.348387i) q^{9} +(0.0876265 + 2.23435i) q^{10} +1.24199i q^{11} +(0.392794 - 1.46593i) q^{12} +(-2.08350 + 3.60872i) q^{13} +(-1.50819 - 1.50819i) q^{14} +(3.30981 + 0.749185i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(4.89842 - 2.82810i) q^{17} +(0.603425 + 0.348387i) q^{18} +(0.647049 + 2.41482i) q^{19} +(1.89119 - 1.19306i) q^{20} +(-2.80331 + 1.61849i) q^{21} +(1.07560 - 0.620995i) q^{22} +7.58025 q^{23} +(-1.46593 + 0.392794i) q^{24} +(2.83144 + 4.12104i) q^{25} +4.16699 q^{26} +(3.96713 - 3.96713i) q^{27} +(-0.552037 + 2.06023i) q^{28} +(7.29797 + 7.29797i) q^{29} +(-1.00609 - 3.24097i) q^{30} +(-6.72707 + 6.72707i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.487846 - 1.82067i) q^{33} +(-4.89842 - 2.82810i) q^{34} +(-4.65165 - 1.05291i) q^{35} -0.696775i q^{36} +(6.05437 - 0.586988i) q^{37} +(1.76777 - 1.76777i) q^{38} +(1.63677 - 6.10850i) q^{39} +(-1.97882 - 1.04129i) q^{40} +(4.66912 + 2.69572i) q^{41} +(2.80331 + 1.61849i) q^{42} -6.61187 q^{43} +(-1.07560 - 0.620995i) q^{44} +(1.55684 - 0.0610560i) q^{45} +(-3.79012 - 6.56469i) q^{46} +(-3.36364 - 3.36364i) q^{47} +(1.07313 + 1.07313i) q^{48} +(-2.12237 + 1.22535i) q^{49} +(2.15321 - 4.51262i) q^{50} +(-6.06986 + 6.06986i) q^{51} +(-2.08350 - 3.60872i) q^{52} +(-6.96219 - 1.86551i) q^{53} +(-5.41920 - 1.45207i) q^{54} +(1.29327 - 2.45767i) q^{55} +(2.06023 - 0.552037i) q^{56} +(-1.89705 - 3.28579i) q^{57} +(2.67124 - 9.96921i) q^{58} +(-11.7504 - 3.14851i) q^{59} +(-2.30372 + 2.49179i) q^{60} +(0.279654 + 1.04368i) q^{61} +(9.18935 + 2.46228i) q^{62} +(-1.05087 + 1.05087i) q^{63} +1.00000 q^{64} +(7.88057 - 4.97148i) q^{65} +(-1.33282 + 1.33282i) q^{66} +(2.54010 + 9.47979i) q^{67} +5.65620i q^{68} +(-11.1121 + 2.97747i) q^{69} +(1.41398 + 4.55490i) q^{70} +(4.90681 - 8.49885i) q^{71} +(-0.603425 + 0.348387i) q^{72} +(10.7498 + 10.7498i) q^{73} +(-3.53553 - 4.94975i) q^{74} +(-5.76939 - 4.92897i) q^{75} +(-2.41482 - 0.647049i) q^{76} +(0.685625 + 2.55879i) q^{77} +(-6.10850 + 1.63677i) q^{78} +(-0.454017 - 1.69441i) q^{79} +(0.0876265 + 2.23435i) q^{80} +(-3.21209 + 5.56350i) q^{81} -5.39144i q^{82} +(0.110416 + 0.0295859i) q^{83} -3.23698i q^{84} +(-12.6379 + 0.495634i) q^{85} +(3.30593 + 5.72604i) q^{86} +(-13.5649 - 7.83168i) q^{87} +1.24199i q^{88} +(1.84256 - 6.87653i) q^{89} +(-0.831295 - 1.31773i) q^{90} +(-2.30033 + 8.58496i) q^{91} +(-3.79012 + 6.56469i) q^{92} +(7.21903 - 12.5037i) q^{93} +(-1.23118 + 4.59481i) q^{94} +(1.23413 - 5.45225i) q^{95} +(0.392794 - 1.46593i) q^{96} +0.402849i q^{97} +(2.12237 + 1.22535i) q^{98} +(-0.432694 - 0.749448i) 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
$3$	−1.46593	+	0.392794i	−0.846353	+	0.226780i	−0.655835	−	0.754904i	$-0.727683\pi$
$3$	−1.46593	+	0.392794i	−0.846353	+	0.226780i	−0.190518	+	0.981684i	$0.561017\pi$
$4$	−0.500000	+	0.866025i	−0.250000	+	0.433013i
$5$	−1.97882	−	1.04129i	−0.884954	−	0.465678i
$5$	−1.97882	−	1.04129i	−0.884954	−	0.465678i
$6$	1.07313	+	1.07313i	0.438104	+	0.438104i
$7$	2.06023	−	0.552037i	0.778694	−	0.208650i	0.152485	−	0.988306i	$-0.451272\pi$
$7$	2.06023	−	0.552037i	0.778694	−	0.208650i	0.626209	+	0.779655i	$0.284606\pi$
$8$	1.00000			0.353553
$9$	−0.603425	+	0.348387i	−0.201142	+	0.116129i
$10$	0.0876265	+	2.23435i	0.0277099	+	0.706564i
$11$			1.24199i			0.374474i	0.982315	+	0.187237i	$0.0599533\pi$
$11$			1.24199i			0.374474i	−0.982315	+	0.187237i	$0.940047\pi$
$12$	0.392794	−	1.46593i	0.113390	−	0.423176i
$13$	−2.08350	+	3.60872i	−0.577858	+	1.00088i	0.417867	+	0.908508i	$0.362778\pi$
$13$	−2.08350	+	3.60872i	−0.577858	+	1.00088i	−0.995725	+	0.0923705i	$0.970556\pi$
$14$	−1.50819	−	1.50819i	−0.403082	−	0.403082i
$15$	3.30981	+	0.749185i	0.854590	+	0.193439i
$16$	−0.500000	−	0.866025i	−0.125000	−	0.216506i
$17$	4.89842	−	2.82810i	1.18804	−	0.685916i	0.230180	−	0.973148i	$-0.426069\pi$
$17$	4.89842	−	2.82810i	1.18804	−	0.685916i	0.957861	+	0.287233i	$0.0927353\pi$
$18$	0.603425	+	0.348387i	0.142229	+	0.0821157i
$19$	0.647049	+	2.41482i	0.148443	+	0.553997i	0.999578	+	0.0290502i	$0.00924827\pi$
$19$	0.647049	+	2.41482i	0.148443	+	0.553997i	−0.851135	+	0.524947i	$0.824085\pi$
$20$	1.89119	−	1.19306i	0.422883	−	0.266777i
$21$	−2.80331	+	1.61849i	−0.611732	+	0.353184i
$22$	1.07560	−	0.620995i	0.229318	−	0.132397i
$23$	7.58025			1.58059			0.790296	−	0.612726i	$-0.209927\pi$
$23$	7.58025			1.58059			0.790296	+	0.612726i	$0.209927\pi$
$24$	−1.46593	+	0.392794i	−0.299231	+	0.0801787i
$25$	2.83144	+	4.12104i	0.566287	+	0.824208i
$26$	4.16699			0.817214
$27$	3.96713	−	3.96713i	0.763474	−	0.763474i
$28$	−0.552037	+	2.06023i	−0.104325	+	0.389347i
$29$	7.29797	+	7.29797i	1.35520	+	1.35520i	0.879736	+	0.475462i	$0.157719\pi$
$29$	7.29797	+	7.29797i	1.35520	+	1.35520i	0.475462	+	0.879736i	$0.342281\pi$
$30$	−1.00609	−	3.24097i	−0.183687	−	0.591718i
$31$	−6.72707	+	6.72707i	−1.20822	+	1.20822i	−0.236613	+	0.971604i	$0.576037\pi$
$31$	−6.72707	+	6.72707i	−1.20822	+	1.20822i	−0.971604	+	0.236613i	$0.923963\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	−0.487846	−	1.82067i	−0.0849231	−	0.316937i
$34$	−4.89842	−	2.82810i	−0.840072	−	0.485016i
$35$	−4.65165	−	1.05291i	−0.786272	−	0.177975i
$36$		−	0.696775i		−	0.116129i
$37$	6.05437	−	0.586988i	0.995333	−	0.0965003i
$37$	6.05437	−	0.586988i	0.995333	−	0.0965003i
$38$	1.76777	−	1.76777i	0.286770	−	0.286770i
$39$	1.63677	−	6.10850i	0.262093	−	0.978143i
$40$	−1.97882	−	1.04129i	−0.312879	−	0.164642i
$41$	4.66912	+	2.69572i	0.729195	+	0.421001i	0.818128	−	0.575037i	$-0.195012\pi$
$41$	4.66912	+	2.69572i	0.729195	+	0.421001i	−0.0889327	+	0.996038i	$0.528346\pi$
$42$	2.80331	+	1.61849i	0.432560	+	0.249739i
$43$	−6.61187			−1.00830			−0.504150	−	0.863616i	$-0.668194\pi$
$43$	−6.61187			−1.00830			−0.504150	+	0.863616i	$0.668194\pi$
$44$	−1.07560	−	0.620995i	−0.162152	−	0.0936186i
$45$	1.55684	−	0.0610560i	0.232080	−	0.00910168i
$46$	−3.79012	−	6.56469i	−0.558823	−	0.967911i
$47$	−3.36364	−	3.36364i	−0.490637	−	0.490637i	0.417870	−	0.908507i	$-0.362777\pi$
$47$	−3.36364	−	3.36364i	−0.490637	−	0.490637i	−0.908507	+	0.417870i	$0.862777\pi$
$48$	1.07313	+	1.07313i	0.154893	+	0.154893i
$49$	−2.12237	+	1.22535i	−0.303196	+	0.175050i
$50$	2.15321	−	4.51262i	0.304509	−	0.638180i
$51$	−6.06986	+	6.06986i	−0.849950	+	0.849950i
$52$	−2.08350	−	3.60872i	−0.288929	−	0.500439i
$53$	−6.96219	−	1.86551i	−0.956330	−	0.256248i	−0.253284	−	0.967392i	$-0.581511\pi$
$53$	−6.96219	−	1.86551i	−0.956330	−	0.256248i	−0.703046	+	0.711144i	$0.748177\pi$
$54$	−5.41920	−	1.45207i	−0.737459	−	0.197602i
$55$	1.29327	−	2.45767i	0.174385	−	0.331393i
$56$	2.06023	−	0.552037i	0.275310	−	0.0737691i
$57$	−1.89705	−	3.28579i	−0.251271	−	0.435213i
$58$	2.67124	−	9.96921i	0.350751	−	1.30902i
$59$	−11.7504	−	3.14851i	−1.52977	−	0.409900i	−0.606826	−	0.794835i	$-0.707557\pi$
$59$	−11.7504	−	3.14851i	−1.52977	−	0.409900i	−0.922944	+	0.384935i	$0.874224\pi$
$60$	−2.30372	+	2.49179i	−0.297409	+	0.321688i
$61$	0.279654	+	1.04368i	0.0358061	+	0.133630i	0.981515	−	0.191384i	$-0.0612976\pi$
$61$	0.279654	+	1.04368i	0.0358061	+	0.133630i	−0.945709	+	0.325014i	$0.894631\pi$
$62$	9.18935	+	2.46228i	1.16705	+	0.312710i
$63$	−1.05087	+	1.05087i	−0.132397	+	0.132397i
$64$	1.00000			0.125000
$65$	7.88057	−	4.97148i	0.977465	−	0.616636i
$66$	−1.33282	+	1.33282i	−0.164059	+	0.164059i
$67$	2.54010	+	9.47979i	0.310323	+	1.15814i	0.928266	+	0.371918i	$0.121300\pi$
$67$	2.54010	+	9.47979i	0.310323	+	1.15814i	−0.617943	+	0.786223i	$0.712034\pi$
$68$			5.65620i			0.685916i
$69$	−11.1121	+	2.97747i	−1.33774	+	0.358446i
$70$	1.41398	+	4.55490i	0.169002	+	0.544415i
$71$	4.90681	−	8.49885i	0.582332	−	1.00863i	−0.412871	−	0.910790i	$-0.635474\pi$
$71$	4.90681	−	8.49885i	0.582332	−	1.00863i	0.995202	−	0.0978382i	$-0.0311928\pi$
$72$	−0.603425	+	0.348387i	−0.0711143	+	0.0410578i
$73$	10.7498	+	10.7498i	1.25816	+	1.25816i	0.951969	+	0.306196i	$0.0990562\pi$
$73$	10.7498	+	10.7498i	1.25816	+	1.25816i	0.306196	+	0.951969i	$0.400944\pi$
$74$	−3.53553	−	4.94975i	−0.410997	−	0.575396i
$75$	−5.76939	−	4.92897i	−0.666192	−	0.569148i
$76$	−2.41482	−	0.647049i	−0.276999	−	0.0742216i
$77$	0.685625	+	2.55879i	0.0781342	+	0.291601i
$78$	−6.10850	+	1.63677i	−0.691651	+	0.185327i
$79$	−0.454017	−	1.69441i	−0.0510809	−	0.190637i	0.935671	−	0.352874i	$-0.114796\pi$
$79$	−0.454017	−	1.69441i	−0.0510809	−	0.190637i	−0.986752	+	0.162238i	$0.948129\pi$
$80$	0.0876265	+	2.23435i	0.00979695	+	0.249808i
$81$	−3.21209	+	5.56350i	−0.356899	+	0.618167i
$82$		−	5.39144i		−	0.595385i
$83$	0.110416	+	0.0295859i	0.0121197	+	0.00324747i	0.264874	−	0.964283i	$-0.414670\pi$
$83$	0.110416	+	0.0295859i	0.0121197	+	0.00324747i	−0.252754	+	0.967531i	$0.581336\pi$
$84$		−	3.23698i		−	0.353184i
$85$	−12.6379	+	0.495634i	−1.37078	+	0.0537590i
$86$	3.30593	+	5.72604i	0.356488	+	0.617455i
$87$	−13.5649	−	7.83168i	−1.45431	−	0.839645i
$88$			1.24199i			0.132397i
$89$	1.84256	−	6.87653i	0.195311	−	0.728910i	−0.796875	−	0.604144i	$-0.793515\pi$
$89$	1.84256	−	6.87653i	0.195311	−	0.728910i	0.992186	−	0.124766i	$-0.0398181\pi$
$90$	−0.831295	−	1.31773i	−0.0876262	−	0.138901i
$91$	−2.30033	+	8.58496i	−0.241140	+	0.899948i
$92$	−3.79012	+	6.56469i	−0.395148	+	0.684416i
$93$	7.21903	−	12.5037i	0.748579	−	1.29658i
$94$	−1.23118	+	4.59481i	−0.126986	+	0.473919i
$95$	1.23413	−	5.45225i	0.126619	−	0.559389i
$96$	0.392794	−	1.46593i	0.0400893	−	0.149615i
$97$			0.402849i			0.0409031i	0.999791	+	0.0204516i	$0.00651038\pi$
$97$			0.402849i			0.0409031i	−0.999791	+	0.0204516i	$0.993490\pi$
$98$	2.12237	+	1.22535i	0.214392	+	0.123779i
$99$	−0.432694	−	0.749448i	−0.0434874	−	0.0753223i
$100$	−4.98464	+	0.391577i	−0.498464	+	0.0391577i
$101$			10.2921i			1.02410i	0.858956	+	0.512049i	$0.171114\pi$
$101$			10.2921i			1.02410i	−0.858956	+	0.512049i	$0.828886\pi$
$102$	8.29158	+	2.22172i	0.820988	+	0.219983i
$103$		−	7.89579i		−	0.777995i	−0.921239	−	0.388997i	$-0.872821\pi$
$103$		−	7.89579i		−	0.777995i	0.921239	−	0.388997i	$-0.127179\pi$
$104$	−2.08350	+	3.60872i	−0.204303	+	0.353864i
$105$	7.23255	−	0.283646i	0.705825	−	0.0276810i
$106$	1.86551	+	6.96219i	0.181195	+	0.676228i
$107$	−3.28169	+	0.879327i	−0.317253	+	0.0850078i	−0.413932	−	0.910308i	$-0.635845\pi$
$107$	−3.28169	+	0.879327i	−0.317253	+	0.0850078i	0.0966784	+	0.995316i	$0.469178\pi$
$108$	1.45207	+	5.41920i	0.139725	+	0.521463i
$109$	3.45589	+	0.926002i	0.331014	+	0.0886949i	0.420498	−	0.907293i	$-0.361855\pi$
$109$	3.45589	+	0.926002i	0.331014	+	0.0886949i	−0.0894844	+	0.995988i	$0.528522\pi$
$110$	−2.77504	+	0.108831i	−0.264590	+	0.0103767i
$111$	−8.64470	+	3.23860i	−0.820518	+	0.307394i
$112$	−1.50819	−	1.50819i	−0.142511	−	0.142511i
$113$	−3.45530	+	1.99492i	−0.325048	+	0.187666i	−0.653640	−	0.756805i	$-0.726759\pi$
$113$	−3.45530	+	1.99492i	−0.325048	+	0.187666i	0.328593	+	0.944472i	$0.393426\pi$
$114$	−1.89705	+	3.28579i	−0.177675	+	0.307742i
$115$	−14.9999	−	7.89323i	−1.39875	−	0.736047i
$116$	−9.96921	+	2.67124i	−0.925618	+	0.248019i
$117$		−	2.90345i		−	0.268424i
$118$	3.14851	+	11.7504i	0.289843	+	1.08171i
$119$	8.53065	−	8.53065i	0.782003	−	0.782003i
$120$	3.30981	+	0.749185i	0.302143	+	0.0683909i
$121$	9.45746			0.859769
$122$	0.764030	−	0.764030i	0.0691720	−	0.0691720i
$123$	−7.90345	−	2.11772i	−0.712630	−	0.190949i
$124$	−2.46228	−	9.18935i	−0.221119	−	0.825228i
$125$	−1.31171	−	11.1031i	−0.117323	−	0.993094i
$126$	1.43552	+	0.384645i	0.127886	+	0.0342669i
$127$	−1.87003	+	6.97904i	−0.165938	+	0.619290i	0.831980	+	0.554805i	$0.187207\pi$
$127$	−1.87003	+	6.97904i	−0.165938	+	0.619290i	−0.997919	+	0.0644850i	$0.979460\pi$
$128$	−0.500000	−	0.866025i	−0.0441942	−	0.0765466i
$129$	9.69251	−	2.59710i	0.853378	−	0.228662i
$130$	−8.24571	−	4.33904i	−0.723197	−	0.380559i
$131$	−3.93914	−	1.05549i	−0.344164	−	0.0922184i	0.0825968	−	0.996583i	$-0.473679\pi$
$131$	−3.93914	−	1.05549i	−0.344164	−	0.0922184i	−0.426761	+	0.904365i	$0.640345\pi$
$132$	1.82067	+	0.487846i	0.158469	+	0.0424616i
$133$	2.66614	+	4.61789i	0.231184	+	0.400422i
$134$	6.93969	−	6.93969i	0.599498	−	0.599498i
$135$	−11.9811	+	3.71930i	−1.03117	+	0.320106i
$136$	4.89842	−	2.82810i	0.420036	−	0.242508i
$137$	7.39158	+	7.39158i	0.631505	+	0.631505i	0.948446	−	0.316940i	$-0.102655\pi$
$137$	7.39158	+	7.39158i	0.631505	+	0.631505i	−0.316940	+	0.948446i	$0.602655\pi$
$138$	8.13461	+	8.13461i	0.692464	+	0.692464i
$139$	10.5923	+	18.3463i	0.898424	+	1.55612i	0.829509	+	0.558494i	$0.188620\pi$
$139$	10.5923	+	18.3463i	0.898424	+	1.55612i	0.0689152	+	0.997623i	$0.478046\pi$
$140$	3.23767	−	3.50199i	0.273633	−	0.295972i
$141$	6.25206	+	3.60963i	0.526518	+	0.303985i
$142$	−9.81363			−0.823541
$143$	−4.48200	−	2.58768i	−0.374803	−	0.216393i
$144$	0.603425	+	0.348387i	0.0502854	+	0.0290323i
$145$	−6.84206	−	22.0406i	−0.568202	−	1.83037i
$146$	3.93469	−	14.6844i	0.325637	−	1.21529i
$147$	2.62993	−	2.62993i	0.216913	−	0.216913i
$148$	−2.51884	+	5.53674i	−0.207047	+	0.455117i
$149$			17.9119i			1.46740i	0.679473	+	0.733700i	$0.262208\pi$
$149$			17.9119i			1.46740i	−0.679473	+	0.733700i	$0.737792\pi$
$150$	−1.38391	+	7.46093i	−0.112996	+	0.609182i
$151$	−4.95829	−	2.86267i	−0.403500	−	0.232961i	0.284493	−	0.958678i	$-0.408175\pi$
$151$	−4.95829	−	2.86267i	−0.403500	−	0.232961i	−0.687993	+	0.725717i	$0.741508\pi$
$152$	0.647049	+	2.41482i	0.0524826	+	0.195868i
$153$	−1.97055	+	3.41309i	−0.159310	+	0.275932i
$154$	1.87316	−	1.87316i	0.150944	−	0.150944i
$155$	20.3165	−	6.30682i	1.63186	−	0.506576i
$156$	4.47173	+	4.47173i	0.358025	+	0.358025i
$157$	1.88363	−	7.02982i	0.150330	−	0.561040i	−0.849130	−	0.528184i	$-0.822873\pi$
$157$	1.88363	−	7.02982i	0.150330	−	0.561040i	0.999460	−	0.0328561i	$-0.0104603\pi$
$158$	−1.24040	+	1.24040i	−0.0986807	+	0.0986807i
$159$	10.9388			0.867505
$160$	1.89119	−	1.19306i	0.149512	−	0.0943198i
$161$	15.6171	−	4.18458i	1.23080	−	0.329791i
$162$	6.42418			0.504731
$163$	15.3693	−	8.87349i	1.20382	−	0.695025i	0.242417	−	0.970172i	$-0.422060\pi$
$163$	15.3693	−	8.87349i	1.20382	−	0.695025i	0.961402	+	0.275147i	$0.0887265\pi$
$164$	−4.66912	+	2.69572i	−0.364597	+	0.210500i
$165$	−0.930480	+	4.11076i	−0.0724378	+	0.320022i
$166$	−0.0295859	−	0.110416i	−0.00229631	−	0.00856995i
$167$	−8.66929	−	5.00522i	−0.670850	−	0.387315i	0.125549	−	0.992087i	$-0.459931\pi$
$167$	−8.66929	−	5.00522i	−0.670850	−	0.387315i	−0.796398	+	0.604772i	$0.793264\pi$
$168$	−2.80331	+	1.61849i	−0.216280	+	0.124869i
$169$	−2.18190	−	3.77917i	−0.167839	−	0.290705i
$170$	6.74820	+	10.6970i	0.517564	+	0.820420i
$171$	−1.23174	−	1.23174i	−0.0941933	−	0.0941933i
$172$	3.30593	−	5.72604i	0.252075	−	0.436607i
$173$	0.660678	−	2.46568i	0.0502304	−	0.187463i	−0.936252	−	0.351329i	$-0.885730\pi$
$173$	0.660678	−	2.46568i	0.0502304	−	0.187463i	0.986483	+	0.163866i	$0.0523966\pi$
$174$			15.6634i			1.18744i
$175$	8.10838	+	6.92723i	0.612936	+	0.523650i
$176$	1.07560	−	0.620995i	0.0810761	−	0.0468093i
$177$	18.4619			1.38768
$178$	−6.87653	+	1.84256i	−0.515417	+	0.138106i
$179$	3.90524	+	3.90524i	0.291892	+	0.291892i	0.837827	−	0.545936i	$-0.183826\pi$
$179$	3.90524	+	3.90524i	0.291892	+	0.291892i	−0.545936	+	0.837827i	$0.683826\pi$
$180$	−0.725543	+	1.37879i	−0.0540788	+	0.102769i
$181$	10.4223	−	18.0520i	0.774685	−	1.34179i	−0.160287	−	0.987071i	$-0.551242\pi$
$181$	10.4223	−	18.0520i	0.774685	−	1.34179i	0.934971	−	0.354723i	$-0.115425\pi$
$182$	8.58496	−	2.30033i	0.636360	−	0.170512i
$183$	−0.819905	−	1.42012i	−0.0606091	−	0.104978i
$184$	7.58025			0.558823
$185$	−12.5917	−	5.14281i	−0.925762	−	0.378107i
$186$	−14.4381			−1.05865
$187$	3.51248	+	6.08379i	0.256858	+	0.444891i
$188$	4.59481	−	1.23118i	0.335111	−	0.0897928i
$189$	5.98320	−	10.3632i	0.435214	−	0.753812i
$190$	−5.33885	+	1.65734i	−0.387321	+	0.120236i
$191$	−1.86603	−	1.86603i	−0.135021	−	0.135021i	0.636366	−	0.771387i	$-0.280437\pi$
$191$	−1.86603	−	1.86603i	−0.135021	−	0.135021i	−0.771387	+	0.636366i	$0.780437\pi$
$192$	−1.46593	+	0.392794i	−0.105794	+	0.0283474i
$193$	−19.7620			−1.42250			−0.711251	−	0.702938i	$-0.751871\pi$
$193$	−19.7620			−1.42250			−0.711251	+	0.702938i	$0.751871\pi$
$194$	0.348877	−	0.201424i	0.0250479	−	0.0144614i
$195$	−9.59957	+	10.3833i	−0.687440	+	0.743560i
$196$		−	2.45070i		−	0.175050i
$197$	3.11519	−	11.6260i	0.221948	−	0.828321i	−0.761656	−	0.647981i	$-0.775614\pi$
$197$	3.11519	−	11.6260i	0.221948	−	0.828321i	0.983604	−	0.180340i	$-0.0577198\pi$
$198$	−0.432694	+	0.749448i	−0.0307502	+	0.0532609i
$199$	−1.28100	−	1.28100i	−0.0908079	−	0.0908079i	0.660244	−	0.751052i	$-0.270453\pi$
$199$	−1.28100	−	1.28100i	−0.0908079	−	0.0908079i	−0.751052	+	0.660244i	$0.770453\pi$
$200$	2.83144	+	4.12104i	0.200213	+	0.291401i
$201$	−7.44720	−	12.8989i	−0.525285	−	0.909821i
$202$	8.91319	−	5.14603i	0.627130	−	0.362074i
$203$	19.0642	+	11.0067i	1.33805	+	0.772522i
$204$	−2.22172	−	8.29158i	−0.155552	−	0.580526i
$205$	−6.43232	−	10.1962i	−0.449253	−	0.712137i
$206$	−6.83795	+	3.94789i	−0.476423	+	0.275063i
$207$	−4.57411	+	2.64086i	−0.317923	+	0.183553i
$208$	4.16699			0.288929
$209$	−2.99918	+	0.803629i	−0.207458	+	0.0555882i
$210$	−3.86192	−	6.12175i	−0.266498	−	0.422441i
$211$	−2.01843			−0.138955			−0.0694773	−	0.997584i	$-0.522133\pi$
$211$	−2.01843			−0.138955			−0.0694773	+	0.997584i	$0.522133\pi$
$212$	5.09668	−	5.09668i	0.350041	−	0.350041i
$213$	−3.85473	+	14.3860i	−0.264122	+	0.985716i
$214$	2.40237	+	2.40237i	0.164222	+	0.164222i
$215$	13.0837	+	6.88486i	0.892299	+	0.469544i
$216$	3.96713	−	3.96713i	0.269929	−	0.269929i
$217$	−10.1457	+	17.5729i	−0.688736	+	1.19293i
$218$	−0.926002	−	3.45589i	−0.0627168	−	0.234062i
$219$	−19.9808	−	11.5359i	−1.35018	−	0.779525i
$220$	1.48177	+	2.34884i	0.0999011	+	0.158359i
$221$			23.5693i			1.58545i
$222$	7.12706	+	5.86723i	0.478337	+	0.393783i
$223$	9.90448	−	9.90448i	0.663253	−	0.663253i	−0.292892	−	0.956145i	$-0.594618\pi$
$223$	9.90448	−	9.90448i	0.663253	−	0.663253i	0.956145	+	0.292892i	$0.0946177\pi$
$224$	−0.552037	+	2.06023i	−0.0368845	+	0.137655i
$225$	−3.14428	−	1.50030i	−0.209618	−	0.100020i
$226$	3.45530	+	1.99492i	0.229843	+	0.132700i
$227$	−17.1359	−	9.89342i	−1.13735	−	0.656649i	−0.191577	−	0.981478i	$-0.561360\pi$
$227$	−17.1359	−	9.89342i	−1.13735	−	0.656649i	−0.945773	+	0.324829i	$0.894693\pi$
$228$	3.79410			0.251271
$229$	6.54334	+	3.77780i	0.432396	+	0.249644i	0.700367	−	0.713783i	$-0.253020\pi$
$229$	6.54334	+	3.77780i	0.432396	+	0.249644i	−0.267971	+	0.963427i	$0.586353\pi$
$230$	0.664231	+	16.9369i	0.0437981	+	1.11679i
$231$	−2.01015	−	3.48168i	−0.132258	−	0.229078i
$232$	7.29797	+	7.29797i	0.479135	+	0.479135i
$233$	9.92585	+	9.92585i	0.650264	+	0.650264i	0.953056	−	0.302793i	$-0.0979189\pi$
$233$	9.92585	+	9.92585i	0.650264	+	0.650264i	−0.302793	+	0.953056i	$0.597919\pi$
$234$	−2.51446	+	1.45173i	−0.164376	+	0.0949023i
$235$	3.15351	+	10.1585i	0.205712	+	0.662670i
$236$	8.60188	−	8.60188i	0.559934	−	0.559934i
$237$	1.33111	+	2.30555i	0.0864649	+	0.149762i
$238$	−11.6531	−	3.12243i	−0.755357	−	0.202397i
$239$	8.58662	+	2.30078i	0.555423	+	0.148825i	0.525603	−	0.850730i	$-0.323840\pi$
$239$	8.58662	+	2.30078i	0.555423	+	0.148825i	0.0298200	+	0.999555i	$0.490507\pi$
$240$	−1.00609	−	3.24097i	−0.0649430	−	0.209204i
$241$	−8.80585	+	2.35952i	−0.567234	+	0.151990i	−0.531028	−	0.847354i	$-0.678194\pi$
$241$	−8.80585	+	2.35952i	−0.567234	+	0.151990i	−0.0362065	+	0.999344i	$0.511527\pi$
$242$	−4.72873	−	8.19040i	−0.303974	−	0.526499i
$243$	−1.83283	+	6.84022i	−0.117576	+	0.438800i
$244$	−1.04368	−	0.279654i	−0.0668150	−	0.0179030i
$245$	5.47573	−	0.214747i	0.349832	−	0.0137197i
$246$	2.11772	+	7.90345i	0.135021	+	0.503906i
$247$	−10.0625	−	2.69625i	−0.640263	−	0.171558i
$248$	−6.72707	+	6.72707i	−0.427169	+	0.427169i
$249$	−0.173483			−0.0109940
$250$	−8.95974	+	6.68753i	−0.566663	+	0.422957i
$251$	0.286913	−	0.286913i	0.0181098	−	0.0181098i	−0.697994	−	0.716104i	$-0.745924\pi$
$251$	0.286913	−	0.286913i	0.0181098	−	0.0181098i	0.716104	+	0.697994i	$0.245924\pi$
$252$	−0.384645	−	1.43552i	−0.0242304	−	0.0904290i
$253$			9.41460i			0.591891i
$254$	6.97904	−	1.87003i	0.437904	−	0.117336i
$255$	18.3316	−	5.69067i	1.14797	−	0.356363i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−13.0671	+	7.54430i	−0.815103	+	0.470600i	−0.848725	−	0.528834i	$-0.822629\pi$
$257$	−13.0671	+	7.54430i	−0.815103	+	0.470600i	0.0336216	+	0.999435i	$0.489296\pi$
$258$	−7.09541	−	7.09541i	−0.441741	−	0.441741i
$259$	12.1494	−	4.55157i	0.754925	−	0.282821i
$260$	0.365139	+	9.31052i	0.0226450	+	0.577414i
$261$	−6.94629	−	1.86125i	−0.429965	−	0.115209i
$262$	1.05549	+	3.93914i	0.0652083	+	0.243361i
$263$	19.8389	−	5.31582i	1.22332	−	0.327787i	0.411344	−	0.911480i	$-0.365059\pi$
$263$	19.8389	−	5.31582i	1.22332	−	0.327787i	0.811974	+	0.583693i	$0.198393\pi$
$264$	−0.487846	−	1.82067i	−0.0300249	−	0.112054i
$265$	11.8344	+	10.9412i	0.726979	+	0.672110i
$266$	2.66614	−	4.61789i	0.163471	−	0.283141i
$267$			10.8042i			0.661208i
$268$	−9.47979	−	2.54010i	−0.579070	−	0.155161i
$269$			6.60785i			0.402888i	0.979500	+	0.201444i	$0.0645634\pi$
$269$			6.60785i			0.402888i	−0.979500	+	0.201444i	$0.935437\pi$
$270$	9.21158	+	8.51633i	0.560599	+	0.518287i
$271$	−6.90495	−	11.9597i	−0.419446	−	0.726501i	0.576438	−	0.817141i	$-0.304442\pi$
$271$	−6.90495	−	11.9597i	−0.419446	−	0.726501i	−0.995884	+	0.0906397i	$0.971109\pi$
$272$	−4.89842	−	2.82810i	−0.297010	−	0.171479i
$273$		−	13.4885i		−	0.816359i
$274$	2.70551	−	10.0971i	0.163446	−	0.609987i
$275$	−5.11829	+	3.51662i	−0.308645	+	0.212060i
$276$	2.97747	−	11.1121i	0.179223	−	0.668869i
$277$	−0.115718	+	0.200429i	−0.00695279	+	0.0120426i	−0.869481	−	0.493967i	$-0.835546\pi$
$277$	−0.115718	+	0.200429i	−0.00695279	+	0.0120426i	0.862528	+	0.506009i	$0.168880\pi$
$278$	10.5923	−	18.3463i	0.635282	−	1.10034i
$279$	1.71565	−	6.40290i	0.102713	−	0.383332i
$280$	−4.65165	−	1.05291i	−0.277989	−	0.0629236i
$281$	4.01948	−	15.0009i	0.239782	−	0.894879i	−0.736153	−	0.676816i	$-0.763359\pi$
$281$	4.01948	−	15.0009i	0.239782	−	0.894879i	0.975935	−	0.218063i	$-0.0699739\pi$
$282$		−	7.21925i		−	0.429900i
$283$	−26.6386	−	15.3798i	−1.58350	−	0.914235i	−0.994343	−	0.106217i	$-0.966126\pi$
$283$	−26.6386	−	15.3798i	−1.58350	−	0.914235i	−0.589158	−	0.808018i	$-0.700541\pi$
$284$	4.90681	+	8.49885i	0.291166	+	0.504314i
$285$	0.332464	+	8.47735i	0.0196935	+	0.502155i
$286$			5.17536i			0.306026i
$287$	11.1076	+	2.97628i	0.655662	+	0.175684i
$288$		−	0.696775i		−	0.0410578i
$289$	7.49632	−	12.9840i	0.440960	−	0.763766i
$290$	−15.6667	+	16.9457i	−0.919981	+	0.995086i
$291$	−0.158236	−	0.590547i	−0.00927599	−	0.0346185i
$292$	−14.6844	+	3.93469i	−0.859342	+	0.230260i
$293$	−1.63761	−	6.11166i	−0.0956704	−	0.357047i	0.901450	−	0.432884i	$-0.142504\pi$
$293$	−1.63761	−	6.11166i	−0.0956704	−	0.357047i	−0.997120	+	0.0758367i	$0.975837\pi$
$294$	−3.59255	−	0.962621i	−0.209522	−	0.0561412i
$295$	19.9734	+	18.4659i	1.16289	+	1.07512i
$296$	6.05437	−	0.586988i	0.351903	−	0.0341180i
$297$	4.92714	+	4.92714i	0.285901	+	0.285901i
$298$	15.5122	−	8.95595i	0.898595	−	0.518804i
$299$	−15.7934	+	27.3550i	−0.913357	+	1.58198i
$300$	7.15331	−	2.53196i	0.412996	−	0.146183i
$301$	−13.6220	+	3.65000i	−0.785157	+	0.210382i
$302$			5.72534i			0.329456i
$303$	−4.04266	−	15.0874i	−0.232245	−	0.866749i
$304$	1.76777	−	1.76777i	0.101389	−	0.101389i
$305$	0.533391	−	2.35646i	0.0305419	−	0.134931i
$306$	3.94110			0.225298
$307$	−13.1849	+	13.1849i	−0.752500	+	0.752500i	−0.974945	−	0.222445i	$-0.928596\pi$
$307$	−13.1849	+	13.1849i	−0.752500	+	0.752500i	0.222445	+	0.974945i	$0.428596\pi$
$308$	−2.55879	−	0.685625i	−0.145800	−	0.0390671i
$309$	3.10141	+	11.5746i	0.176433	+	0.658458i
$310$	−15.6201	−	14.4412i	−0.887162	−	0.820203i
$311$	1.39722	+	0.374385i	0.0792292	+	0.0212294i	0.298216	−	0.954498i	$-0.403608\pi$
$311$	1.39722	+	0.374385i	0.0792292	+	0.0212294i	−0.218987	+	0.975728i	$0.570275\pi$
$312$	1.63677	−	6.10850i	0.0926637	−	0.345826i
$313$	3.02756	+	5.24388i	0.171128	+	0.296402i	0.938814	−	0.344424i	$-0.111926\pi$
$313$	3.02756	+	5.24388i	0.171128	+	0.296402i	−0.767687	+	0.640825i	$0.778592\pi$
$314$	−7.02982	+	1.88363i	−0.396715	+	0.106300i
$315$	3.17374	−	0.985222i	0.178820	−	0.0555110i
$316$	1.69441	+	0.454017i	0.0953183	+	0.0255405i
$317$	−17.2988	−	4.63520i	−0.971598	−	0.260339i	−0.262095	−	0.965042i	$-0.584414\pi$
$317$	−17.2988	−	4.63520i	−0.971598	−	0.260339i	−0.709502	+	0.704703i	$0.751080\pi$
$318$	−5.46941	−	9.47329i	−0.306709	−	0.531236i
$319$	−9.06401	+	9.06401i	−0.507487	+	0.507487i
$320$	−1.97882	−	1.04129i	−0.110619	−	0.0582098i
$321$	4.46533	−	2.57806i	0.249230	−	0.143893i
$322$	−11.4325	−	11.4325i	−0.637107	−	0.637107i
$323$	9.99887	+	9.99887i	0.556352	+	0.556352i
$324$	−3.21209	−	5.56350i	−0.178449	−	0.309084i
$325$	−20.7710	+	1.63170i	−1.15217	+	0.0905102i
$326$	−15.3693	−	8.87349i	−0.851229	−	0.491457i
$327$	−5.42980			−0.300269
$328$	4.66912	+	2.69572i	0.257809	+	0.148846i
$329$	−8.78672	−	5.07301i	−0.484427	−	0.279684i
$330$	4.02526	−	1.24956i	0.221583	−	0.0687859i
$331$	1.42272	−	5.30966i	0.0781997	−	0.291845i	−0.915740	−	0.401771i	$-0.868395\pi$
$331$	1.42272	−	5.30966i	0.0781997	−	0.291845i	0.993940	+	0.109926i	$0.0350614\pi$
$332$	−0.0808302	+	0.0808302i	−0.00443613	+	0.00443613i
$333$	−3.44886	+	2.46347i	−0.188996	+	0.134997i
$334$			10.0104i			0.547746i
$335$	4.84480	−	21.4038i	0.264700	−	1.16941i
$336$	2.80331	+	1.61849i	0.152933	+	0.0882959i
$337$	−1.95357	−	7.29082i	−0.106418	−	0.397156i	0.892084	−	0.451869i	$-0.149242\pi$
$337$	−1.95357	−	7.29082i	−0.106418	−	0.397156i	−0.998502	+	0.0547125i	$0.982576\pi$
$338$	−2.18190	+	3.77917i	−0.118680	+	0.205560i
$339$	4.28163	−	4.28163i	0.232546	−	0.232546i
$340$	5.88974	−	11.1926i	0.319416	−	0.607004i
$341$	−8.35496	−	8.35496i	−0.452446	−	0.452446i
$342$	−0.450847	+	1.68258i	−0.0243790	+	0.0909837i
$343$	−14.2535	+	14.2535i	−0.769616	+	0.769616i
$344$	−6.61187			−0.356488
$345$	25.0892	+	5.67901i	1.35076	+	0.305747i
$346$	−2.46568	+	0.660678i	−0.132556	+	0.0355183i
$347$	13.7347			0.737316			0.368658	−	0.929565i	$-0.379817\pi$
$347$	13.7347			0.737316			0.368658	+	0.929565i	$0.379817\pi$
$348$	13.5649	−	7.83168i	0.727154	−	0.419822i
$349$	5.31791	−	3.07030i	0.284661	−	0.164349i	−0.350871	−	0.936424i	$-0.614114\pi$
$349$	5.31791	−	3.07030i	0.284661	−	0.164349i	0.635532	+	0.772075i	$0.280781\pi$
$350$	1.94497	−	10.4857i	0.103963	−	0.560483i
$351$	6.05076	+	22.5817i	0.322966	+	1.20532i
$352$	−1.07560	−	0.620995i	−0.0573294	−	0.0330992i
$353$	−26.5075	+	15.3041i	−1.41085	+	0.814556i	−0.995469	−	0.0950909i	$-0.969686\pi$
$353$	−26.5075	+	15.3041i	−1.41085	+	0.814556i	−0.415383	+	0.909647i	$0.636352\pi$
$354$	−9.23095	−	15.9885i	−0.490619	−	0.849778i
$355$	−18.5594	+	11.7083i	−0.985033	+	0.621410i
$356$	5.03397	+	5.03397i	0.266800	+	0.266800i
$357$	−9.15452	+	15.8561i	−0.484508	+	0.839193i
$358$	1.42942	−	5.33466i	0.0755471	−	0.281946i
$359$		−	10.8846i		−	0.574467i	−0.957861	−	0.287234i	$-0.907264\pi$
$359$		−	10.8846i		−	0.574467i	0.957861	−	0.287234i	$-0.0927356\pi$
$360$	1.55684	−	0.0610560i	0.0820526	−	0.00321793i
$361$	11.0418	−	6.37499i	0.581148	−	0.335526i
$362$	−20.8446			−1.09557
$363$	−13.8639	+	3.71483i	−0.727668	+	0.194978i
$364$	−6.28463	−	6.28463i	−0.329404	−	0.329404i
$365$	−10.0782	−	32.4654i	−0.527518	−	1.69932i
$366$	−0.819905	+	1.42012i	−0.0428571	+	0.0742307i
$367$	12.3036	−	3.29675i	0.642244	−	0.172089i	0.0770245	−	0.997029i	$-0.475458\pi$
$367$	12.3036	−	3.29675i	0.642244	−	0.172089i	0.565220	+	0.824940i	$0.308791\pi$
$368$	−3.79012	−	6.56469i	−0.197574	−	0.342208i
$369$	−3.75662			−0.195562
$370$	1.84206	+	13.4762i	0.0957642	+	0.700592i
$371$	−15.3736			−0.798155
$372$	7.21903	+	12.5037i	0.374289	+	0.648288i
$373$	16.7159	−	4.47900i	0.865514	−	0.231914i	0.201367	−	0.979516i	$-0.435462\pi$
$373$	16.7159	−	4.47900i	0.865514	−	0.231914i	0.664147	+	0.747602i	$0.268795\pi$
$374$	3.51248	−	6.08379i	0.181626	−	0.314585i
$375$	6.28410	+	15.7611i	0.324510	+	0.813901i
$376$	−3.36364	−	3.36364i	−0.173466	−	0.173466i
$377$	−41.5416	+	11.1310i	−2.13950	+	0.573278i
$378$	−11.9664			−0.615485
$379$	−23.2093	+	13.3999i	−1.19218	+	0.688308i	−0.958801	−	0.284077i	$-0.908313\pi$
$379$	−23.2093	+	13.3999i	−1.19218	+	0.688308i	−0.233382	+	0.972385i	$0.574979\pi$
$380$	4.10472	+	3.79491i	0.210568	+	0.194675i
$381$		−	10.9653i		−	0.561769i
$382$	−0.683014	+	2.54904i	−0.0349460	+	0.130420i
$383$	1.03941	−	1.80031i	0.0531113	−	0.0919915i	−0.838247	−	0.545290i	$-0.816420\pi$
$383$	1.03941	−	1.80031i	0.0531113	−	0.0919915i	0.891359	+	0.453299i	$0.149753\pi$
$384$	1.07313	+	1.07313i	0.0547630	+	0.0547630i
$385$	1.30771	−	5.77731i	0.0666470	−	0.294439i
$386$	9.88101	+	17.1144i	0.502930	+	0.871101i
$387$	3.98976	−	2.30349i	0.202811	−	0.117093i
$388$	−0.348877	−	0.201424i	−0.0177116	−	0.0102258i
$389$	−6.45889	−	24.1049i	−0.327479	−	1.22217i	−0.911797	−	0.410642i	$-0.865305\pi$
$389$	−6.45889	−	24.1049i	−0.327479	−	1.22217i	0.584318	−	0.811525i	$-0.301362\pi$
$390$	13.7919	+	3.12184i	0.698383	+	0.158081i
$391$	37.1312	−	21.4377i	1.87781	−	1.08415i
$392$	−2.12237	+	1.22535i	−0.107196	+	0.0618896i
$393$	6.18907			0.312197
$394$	−11.6260	+	3.11519i	−0.585712	+	0.156941i
$395$	−0.865957	+	3.82570i	−0.0435710	+	0.192492i
$396$	0.865388			0.0434874
$397$	6.29578	−	6.29578i	0.315976	−	0.315976i	−0.531243	−	0.847219i	$-0.678275\pi$
$397$	6.29578	−	6.29578i	0.315976	−	0.315976i	0.847219	+	0.531243i	$0.178275\pi$
$398$	−0.468880	+	1.74988i	−0.0235028	+	0.0877137i
$399$	−5.72224	−	5.72224i	−0.286470	−	0.286470i
$400$	2.15321	−	4.51262i	0.107660	−	0.225631i
$401$	15.3810	−	15.3810i	0.768091	−	0.768091i	−0.209680	−	0.977770i	$-0.567242\pi$
$401$	15.3810	−	15.3810i	0.768091	−	0.768091i	0.977770	+	0.209680i	$0.0672421\pi$
$402$	−7.44720	+	12.8989i	−0.371433	+	0.643340i
$403$	−10.2603	−	38.2919i	−0.511101	−	1.90746i
$404$	−8.91319	−	5.14603i	−0.443448	−	0.256025i
$405$	12.1494	−	7.66445i	0.603706	−	0.380849i
$406$		−	22.0135i		−	1.09251i
$407$	0.729034	+	7.51948i	0.0361369	+	0.372727i
$408$	−6.06986	+	6.06986i	−0.300503	+	0.300503i
$409$	−8.95667	+	33.4267i	−0.442879	+	1.65285i	0.278598	+	0.960408i	$0.410130\pi$
$409$	−8.95667	+	33.4267i	−0.442879	+	1.65285i	−0.721477	+	0.692438i	$0.756536\pi$
$410$	−5.61404	+	10.6687i	−0.277258	+	0.526888i
$411$	−13.7389	−	7.93214i	−0.677689	−	0.391264i
$412$	6.83795	+	3.94789i	0.336882	+	0.194499i
$413$	−25.9466			−1.27675
$414$	4.57411	+	2.64086i	0.224805	+	0.129791i
$415$	−0.187686	−	0.173520i	−0.00921313	−	0.00851776i
$416$	−2.08350	−	3.60872i	−0.102152	−	0.176932i
$417$	−22.7338	−	22.7338i	−1.11328	−	1.11328i
$418$	2.19555	+	2.19555i	0.107388	+	0.107388i
$419$	33.4282	−	19.2998i	1.63307	−	0.942855i	0.649935	−	0.759990i	$-0.274796\pi$
$419$	33.4282	−	19.2998i	1.63307	−	0.942855i	0.983138	−	0.182865i	$-0.0585371\pi$
$420$	−3.37063	+	6.40540i	−0.164470	+	0.312551i
$421$	−10.7713	+	10.7713i	−0.524962	+	0.524962i	−0.919066	−	0.394104i	$-0.871055\pi$
$421$	−10.7713	+	10.7713i	−0.524962	+	0.524962i	0.394104	+	0.919066i	$0.371055\pi$
$422$	1.00922	+	1.74801i	0.0491279	+	0.0850920i
$423$	3.20155	+	0.857852i	0.155665	+	0.0417102i
$424$	−6.96219	−	1.86551i	−0.338114	−	0.0905973i
$425$	25.5243	+	12.1790i	1.23811	+	0.590767i
$426$	14.3860	−	3.85473i	0.697006	−	0.186762i
$427$	1.15230	+	1.99585i	0.0557639	+	0.0965860i
$428$	0.879327	−	3.28169i	0.0425039	−	0.158627i
$429$	7.58670	+	2.03285i	0.366289	+	0.0981469i
$430$	−0.579375	−	14.7732i	−0.0279399	−	0.712428i
$431$	2.95967	+	11.0456i	0.142562	+	0.532050i	0.999852	+	0.0172153i	$0.00548006\pi$
$431$	2.95967	+	11.0456i	0.142562	+	0.532050i	−0.857289	+	0.514835i	$0.827853\pi$
$432$	−5.41920	−	1.45207i	−0.260731	−	0.0698627i
$433$	22.3552	−	22.3552i	1.07432	−	1.07432i	0.0773168	−	0.997007i	$-0.475365\pi$
$433$	22.3552	−	22.3552i	1.07432	−	1.07432i	0.997007	−	0.0773168i	$-0.0246353\pi$
$434$	20.2914			0.974020
$435$	18.6874	+	29.6224i	0.895991	+	1.42029i
$436$	−2.52989	+	2.52989i	−0.121160	+	0.121160i
$437$	4.90479	+	18.3049i	0.234628	+	0.875643i
$438$			23.0718i			1.10241i
$439$	−10.0097	+	2.68209i	−0.477737	+	0.128009i	−0.489649	−	0.871920i	$-0.662875\pi$
$439$	−10.0097	+	2.68209i	−0.477737	+	0.128009i	0.0119114	+	0.999929i	$0.496208\pi$
$440$	1.29327	−	2.45767i	0.0616543	−	0.117165i
$441$	0.853794	−	1.47882i	0.0406569	−	0.0704198i
$442$	20.4117	−	11.7847i	0.970883	−	0.560540i
$443$	10.5760	+	10.5760i	0.502480	+	0.502480i	0.912208	−	0.409728i	$-0.134376\pi$
$443$	10.5760	+	10.5760i	0.502480	+	0.502480i	−0.409728	+	0.912208i	$0.634376\pi$
$444$	1.51764	−	9.10583i	0.0720239	−	0.432143i
$445$	−10.8065	+	11.6888i	−0.512279	+	0.554100i
$446$	−13.5298	−	3.62529i	−0.640653	−	0.171663i
$447$	−7.03568	−	26.2575i	−0.332776	−	1.24194i
$448$	2.06023	−	0.552037i	0.0973368	−	0.0260813i
$449$	9.97134	+	37.2136i	0.470577	+	1.75622i	0.637705	+	0.770281i	$0.279884\pi$
$449$	9.97134	+	37.2136i	0.470577	+	1.75622i	−0.167128	+	0.985935i	$0.553449\pi$
$450$	0.272841	+	3.47317i	0.0128618	+	0.163727i
$451$	−3.34806	+	5.79901i	−0.157654	+	0.273065i
$452$		−	3.98984i		−	0.187666i
$453$	8.39293	+	2.24888i	0.394334	+	0.105662i
$454$			19.7868i			0.928642i
$455$	13.4914	−	14.5928i	0.632485	−	0.684119i
$456$	−1.89705	−	3.28579i	−0.0888375	−	0.153871i
$457$	28.2100	+	16.2870i	1.31961	+	0.761875i	0.983665	−	0.180008i	$-0.0576124\pi$
$457$	28.2100	+	16.2870i	1.31961	+	0.761875i	0.335941	+	0.941883i	$0.390946\pi$
$458$		−	7.55560i		−	0.353050i
$459$	8.21320	−	30.6521i	0.383359	−	1.43072i
$460$	14.3357	−	9.04371i	0.668405	−	0.421665i
$461$	2.39516	−	8.93886i	0.111554	−	0.416324i	−0.887452	−	0.460900i	$-0.847527\pi$
$461$	2.39516	−	8.93886i	0.111554	−	0.416324i	0.999006	+	0.0445754i	$0.0141935\pi$
$462$	−2.01015	+	3.48168i	−0.0935207	+	0.161983i
$463$	10.5412	−	18.2579i	0.489892	−	0.848518i	−0.510040	−	0.860150i	$-0.670370\pi$
$463$	10.5412	−	18.2579i	0.489892	−	0.848518i	0.999932	+	0.0116328i	$0.00370292\pi$
$464$	2.67124	−	9.96921i	0.124009	−	0.462809i
$465$	−27.3051	+	17.2255i	−1.26625	+	0.798814i
$466$	3.63311	−	13.5590i	0.168301	−	0.628107i
$467$		−	25.5763i		−	1.18353i	−0.806111	−	0.591764i	$-0.798432\pi$
$467$		−	25.5763i		−	1.18353i	0.806111	−	0.591764i	$-0.201568\pi$
$468$	2.51446	+	1.45173i	0.116231	+	0.0671061i
$469$	10.4664	+	18.1283i	0.483293	+	0.837088i
$470$	7.22080	−	7.81028i	0.333071	−	0.360262i
$471$			11.0451i			0.508930i
$472$	−11.7504	−	3.14851i	−0.540855	−	0.144922i
$473$		−	8.21188i		−	0.377583i
$474$	1.33111	−	2.30555i	0.0611399	−	0.105897i
$475$	−8.11948	+	9.50392i	−0.372548	+	0.436070i
$476$	3.12243	+	11.6531i	0.143117	+	0.534118i
$477$	4.85108	−	1.29984i	0.222116	−	0.0595157i
$478$	−2.30078	−	8.58662i	−0.105235	−	0.392743i
$479$	−7.17989	−	1.92385i	−0.328058	−	0.0879027i	0.0910312	−	0.995848i	$-0.470984\pi$
$479$	−7.17989	−	1.92385i	−0.328058	−	0.0879027i	−0.419089	+	0.907945i	$0.637650\pi$
$480$	−2.30372	+	2.49179i	−0.105150	+	0.113734i
$481$	−10.4960	+	23.0715i	−0.478576	+	1.05197i
$482$	6.44633	+	6.44633i	0.293622	+	0.293622i
$483$	−21.2498	+	12.2686i	−0.966898	+	0.558239i
$484$	−4.72873	+	8.19040i	−0.214942	+	0.372291i
$485$	0.419482	−	0.797164i	0.0190477	−	0.0361974i
$486$	6.84022	−	1.83283i	0.310279	−	0.0831389i
$487$		−	8.24270i		−	0.373512i	−0.982406	−	0.186756i	$-0.940203\pi$
$487$		−	8.24270i		−	0.373512i	0.982406	−	0.186756i	$-0.0597974\pi$
$488$	0.279654	+	1.04368i	0.0126594	+	0.0472454i
$489$	−19.0449	+	19.0449i	−0.861238	+	0.861238i
$490$	−2.92384	−	4.63475i	−0.132086	−	0.209377i
$491$	−16.2420			−0.732990			−0.366495	−	0.930420i	$-0.619442\pi$
$491$	−16.2420			−0.732990			−0.366495	+	0.930420i	$0.619442\pi$
$492$	5.78573	−	5.78573i	0.260841	−	0.260841i
$493$	56.3879	+	15.1091i	2.53958	+	0.680479i
$494$	2.69625	+	10.0625i	0.121310	+	0.452734i
$495$	0.0758309	+	1.93358i	0.00340835	+	0.0869079i
$496$	9.18935	+	2.46228i	0.412614	+	0.110560i
$497$	5.41749	−	20.2183i	0.243007	−	0.906916i
$498$	0.0867414	+	0.150241i	0.00388698	+	0.00673244i
$499$	−15.4708	+	4.14540i	−0.692570	+	0.185574i	−0.587900	−	0.808934i	$-0.700045\pi$
$499$	−15.4708	+	4.14540i	−0.692570	+	0.185574i	−0.104670	+	0.994507i	$0.533379\pi$
$500$	10.2714	+	4.41559i	0.459353	+	0.197471i
$501$	14.6745	+	3.93203i	0.655611	+	0.175670i
$502$	−0.391930	−	0.105017i	−0.0174927	−	0.00468716i
$503$	−14.6748	−	25.4176i	−0.654318	−	1.13331i	−0.982064	−	0.188547i	$-0.939622\pi$
$503$	−14.6748	−	25.4176i	−0.654318	−	1.13331i	0.327746	−	0.944766i	$-0.393711\pi$
$504$	−1.05087	+	1.05087i	−0.0468095	+	0.0468095i
$505$	10.7170	−	20.3661i	0.476901	−	0.906280i
$506$	8.15328	−	4.70730i	0.362458	−	0.209265i
$507$	4.68294	+	4.68294i	0.207977	+	0.207977i
$508$	−5.10901	−	5.10901i	−0.226676	−	0.226676i
$509$	3.64938	+	6.32090i	0.161756	+	0.280169i	0.935498	−	0.353331i	$-0.114951\pi$
$509$	3.64938	+	6.32090i	0.161756	+	0.280169i	−0.773743	+	0.633500i	$0.781618\pi$
$510$	−14.0941	−	13.0303i	−0.624096	−	0.576991i
$511$	28.0813	+	16.2127i	1.24224	+	0.717208i
$512$	1.00000			0.0441942
$513$	12.1468	+	7.01297i	0.536295	+	0.309630i
$514$	13.0671	+	7.54430i	0.576365	+	0.332765i
$515$	−8.22179	+	15.6243i	−0.362295	+	0.688490i
$516$	−2.59710	+	9.69251i	−0.114331	+	0.426689i
$517$	4.17761	−	4.17761i	0.183731	−	0.183731i
$518$	−10.0165	−	8.24588i	−0.440098	−	0.362303i
$519$			3.87402i			0.170051i
$520$	7.88057	−	4.97148i	0.345586	−	0.218014i
$521$	−17.5971	−	10.1597i	−0.770942	−	0.445104i	0.0622684	−	0.998059i	$-0.480167\pi$
$521$	−17.5971	−	10.1597i	−0.770942	−	0.445104i	−0.833211	+	0.552956i	$0.813500\pi$
$522$	1.86125	+	6.94629i	0.0814648	+	0.304031i
$523$	−3.83189	+	6.63703i	−0.167557	+	0.290217i	−0.937560	−	0.347823i	$-0.886921\pi$
$523$	−3.83189	+	6.63703i	−0.167557	+	0.290217i	0.770003	+	0.638040i	$0.220254\pi$
$524$	2.88365	−	2.88365i	0.125973	−	0.125973i
$525$	−14.6073	−	6.96989i	−0.637513	−	0.304191i
$526$	−14.5231	−	14.5231i	−0.633236	−	0.633236i
$527$	−13.9271	+	51.9768i	−0.606676	+	2.26415i
$528$	−1.33282	+	1.33282i	−0.0580036	+	0.0580036i
$529$	34.4602			1.49827
$530$	3.55814	−	15.7194i	0.154556	−	0.682809i
$531$	8.18737	−	2.19380i	0.355302	−	0.0952028i
$532$	−5.33228			−0.231184
$533$	−19.4562	+	11.2330i	−0.842741	+	0.486557i
$534$	9.35673	−	5.40211i	0.404905	−	0.233772i
$535$	7.40951	+	1.67716i	0.320341	+	0.0725100i
$536$	2.54010	+	9.47979i	0.109716	+	0.409465i
$537$	−7.25875	−	4.19084i	−0.313238	−	0.180848i
$538$	5.72257	−	3.30393i	0.246717	−	0.142442i
$539$	−1.52188	−	2.63597i	−0.0655519	−	0.113539i
$540$	2.76957	−	12.2356i	0.119183	−	0.526537i
$541$	29.5324	+	29.5324i	1.26970	+	1.26970i	0.946245	+	0.323450i	$0.104843\pi$
$541$	29.5324	+	29.5324i	1.26970	+	1.26970i	0.323450	+	0.946245i	$0.395157\pi$
$542$	−6.90495	+	11.9597i	−0.296593	+	0.513714i
$543$	−8.18764	+	30.5567i	−0.351365	+	1.31131i
$544$			5.65620i			0.242508i
$545$	−5.87434	−	5.43097i	−0.251629	−	0.232637i
$546$	−11.6814	+	6.74424i	−0.499916	+	0.288627i
$547$	6.72856			0.287693			0.143846	−	0.989600i	$-0.454053\pi$
$547$	6.72856			0.287693			0.143846	+	0.989600i	$0.454053\pi$
$548$	−10.0971	+	2.70551i	−0.431326	+	0.115573i
$549$	−0.532357	−	0.532357i	−0.0227204	−	0.0227204i
$550$	5.60463	+	2.67426i	0.238982	+	0.114031i
$551$	−12.9011	+	22.3454i	−0.549606	+	0.951946i
$552$	−11.1121	+	2.97747i	−0.472962	+	0.126730i
$553$	−1.87076	−	3.24025i	−0.0795528	−	0.137789i
$554$	0.231435			0.00983274
$555$	20.4786	+	2.59302i	0.869268	+	0.110068i
$556$	−21.1845			−0.898424
$557$	0.491803	+	0.851828i	0.0208384	+	0.0360931i	0.876257	−	0.481845i	$-0.160033\pi$
$557$	0.491803	+	0.851828i	0.0208384	+	0.0360931i	−0.855418	+	0.517938i	$0.826700\pi$
$558$	−6.40290	+	1.71565i	−0.271057	+	0.0726294i
$559$	13.7758	−	23.8604i	0.582654	−	1.00919i
$560$	1.41398	+	4.55490i	0.0597514	+	0.192480i
$561$	−7.53870	−	7.53870i	−0.318284	−	0.318284i
$562$	−15.0009	+	4.01948i	−0.632775	+	0.169552i
$563$	−31.0003			−1.30651			−0.653254	−	0.757139i	$-0.726597\pi$
$563$	−31.0003			−1.30651			−0.653254	+	0.757139i	$0.726597\pi$
$564$	−6.25206	+	3.60963i	−0.263259	+	0.151993i
$565$	8.91470	−	0.349616i	0.375044	−	0.0147085i
$566$			30.7596i			1.29292i
$567$	−3.54639	+	13.2353i	−0.148934	+	0.555830i
$568$	4.90681	−	8.49885i	0.205885	−	0.356604i
$569$	−5.62158	−	5.62158i	−0.235669	−	0.235669i	0.579385	−	0.815054i	$-0.303293\pi$
$569$	−5.62158	−	5.62158i	−0.235669	−	0.235669i	−0.815054	+	0.579385i	$0.803293\pi$
$570$	7.17537	−	4.52660i	0.300543	−	0.189598i
$571$	−7.18338	−	12.4420i	−0.300615	−	0.520680i	0.675660	−	0.737213i	$-0.263859\pi$
$571$	−7.18338	−	12.4420i	−0.300615	−	0.520680i	−0.976275	+	0.216533i	$0.930525\pi$
$572$	4.48200	−	2.58768i	0.187402	−	0.108196i
$573$	3.46842	+	2.00249i	0.144895	+	0.0836554i
$574$	−2.97628	−	11.1076i	−0.124227	−	0.463623i
$575$	21.4630	+	31.2385i	0.895069	+	1.30274i
$576$	−0.603425	+	0.348387i	−0.0251427	+	0.0145161i
$577$	0.318471	−	0.183869i	0.0132581	−	0.00765458i	−0.493356	−	0.869827i	$-0.664230\pi$
$577$	0.318471	−	0.183869i	0.0132581	−	0.00765458i	0.506614	+	0.862173i	$0.330897\pi$
$578$	−14.9926			−0.623612
$579$	28.9697	−	7.76240i	1.20394	−	0.322594i
$580$	22.5088	+	5.09492i	0.934626	+	0.211555i
$581$	0.243815			0.0101152
$582$	−0.432310	+	0.432310i	−0.0179198	+	0.0179198i
$583$	2.31695	−	8.64698i	0.0959583	−	0.358121i
$584$	10.7498	+	10.7498i	0.444828	+	0.444828i
$585$	−3.02333	+	5.74540i	−0.124999	+	0.237543i
$586$	−4.47404	+	4.47404i	−0.184821	+	0.184821i
$587$	1.66948	−	2.89163i	0.0689068	−	0.119350i	−0.829514	−	0.558487i	$-0.811382\pi$
$587$	1.66948	−	2.89163i	0.0689068	−	0.119350i	0.898420	+	0.439136i	$0.144716\pi$
$588$	0.962621	+	3.59255i	0.0396978	+	0.148154i
$589$	−20.5974	−	11.8919i	−0.848701	−	0.489998i
$590$	6.00522	−	26.5304i	0.247231	−	1.09224i
$591$			18.2665i			0.751385i
$592$	−3.53553	−	4.94975i	−0.145310	−	0.203433i
$593$	−30.9214	+	30.9214i	−1.26979	+	1.26979i	−0.323595	+	0.946196i	$0.604892\pi$
$593$	−30.9214	+	30.9214i	−1.26979	+	1.26979i	−0.946196	+	0.323595i	$0.895108\pi$
$594$	1.80346	−	6.73059i	0.0739967	−	0.276160i
$595$	−25.7635	+	7.99773i	−1.05620	+	0.327875i
$596$	−15.5122	−	8.95595i	−0.635403	−	0.366850i
$597$	2.38103	+	1.37469i	0.0974489	+	0.0562622i
$598$	31.5868			1.29168
$599$	10.3730	+	5.98884i	0.423828	+	0.244697i	0.696714	−	0.717349i	$-0.254645\pi$
$599$	10.3730	+	5.98884i	0.423828	+	0.244697i	−0.272886	+	0.962047i	$0.587978\pi$
$600$	−5.76939	−	4.92897i	−0.235535	−	0.201224i
$601$	−2.65131	−	4.59220i	−0.108149	−	0.187320i	0.806871	−	0.590727i	$-0.201159\pi$
$601$	−2.65131	−	4.59220i	−0.108149	−	0.187320i	−0.915020	+	0.403407i	$0.867826\pi$
$602$	9.97197	+	9.97197i	0.406427	+	0.406427i
$603$	−4.83540	−	4.83540i	−0.196913	−	0.196913i
$604$	4.95829	−	2.86267i	0.201750	−	0.116480i
$605$	−18.7146	−	9.84794i	−0.760856	−	0.400376i
$606$	−11.0447	+	11.0447i	−0.448662	+	0.448662i
$607$	11.8652	+	20.5512i	0.481595	+	0.834148i	0.999777	−	0.0211229i	$-0.00672413\pi$
$607$	11.8652	+	20.5512i	0.481595	+	0.834148i	−0.518181	+	0.855271i	$0.673391\pi$
$608$	−2.41482	−	0.647049i	−0.0979338	−	0.0262413i
$609$	−32.2701	−	8.64676i	−1.30765	−	0.350384i
$610$	−2.30745	+	0.716300i	−0.0934260	+	0.0290021i
$611$	19.1465	−	5.13030i	0.774586	−	0.207550i
$612$	−1.97055	−	3.41309i	−0.0796548	−	0.137966i
$613$	8.48528	−	31.6675i	0.342717	−	1.27904i	−0.552539	−	0.833487i	$-0.686341\pi$
$613$	8.48528	−	31.6675i	0.342717	−	1.27904i	0.895256	−	0.445551i	$-0.146992\pi$
$614$	18.0109	+	4.82599i	0.726859	+	0.194761i
$615$	13.4343	+	12.4204i	0.541724	+	0.500837i
$616$	0.685625	+	2.55879i	0.0276246	+	0.103096i
$617$	−40.8403	−	10.9431i	−1.64417	−	0.440553i	−0.686196	−	0.727417i	$-0.740721\pi$
$617$	−40.8403	−	10.9431i	−1.64417	−	0.440553i	−0.957972	+	0.286863i	$0.907387\pi$
$618$	8.47322	−	8.47322i	0.340843	−	0.340843i
$619$	26.3358			1.05853			0.529263	−	0.848458i	$-0.322468\pi$
$619$	26.3358			1.05853			0.529263	+	0.848458i	$0.322468\pi$
$620$	−4.69636	+	20.7480i	−0.188610	+	0.833259i
$621$	30.0718	−	30.0718i	1.20674	−	1.20674i
$622$	−0.374385	−	1.39722i	−0.0150115	−	0.0560235i
$623$		−	15.1844i		−	0.608350i
$624$	−6.10850	+	1.63677i	−0.244536	+	0.0655231i
$625$	−8.96593	+	23.3369i	−0.358637	+	0.933477i
$626$	3.02756	−	5.24388i	0.121006	−	0.209588i
$627$	4.08092	−	2.35612i	0.162976	−	0.0940944i
$628$	5.14618	+	5.14618i	0.205355	+	0.205355i
$629$	27.9968	−	19.9977i	1.11630	−	0.797361i
$630$	−2.44010	−	2.25593i	−0.0972158	−	0.0898784i
$631$	−25.9691	−	6.95841i	−1.03381	−	0.277010i	−0.298267	−	0.954483i	$-0.596409\pi$
$631$	−25.9691	−	6.95841i	−1.03381	−	0.277010i	−0.735548	+	0.677473i	$0.763075\pi$
$632$	−0.454017	−	1.69441i	−0.0180598	−	0.0674002i
$633$	2.95887	−	0.792828i	0.117605	−	0.0315121i
$634$	4.63520	+	17.2988i	0.184087	+	0.687023i
$635$	10.9676	−	11.8630i	0.435238	−	0.470769i
$636$	−5.46941	+	9.47329i	−0.216876	+	0.375641i
$637$		−	10.2121i		−	0.404617i
$638$	12.3817	+	3.31766i	0.490195	+	0.131347i
$639$			6.83789i			0.270503i
$640$	0.0876265	+	2.23435i	0.00346374	+	0.0883205i
$641$	−7.65325	−	13.2558i	−0.302285	−	0.523573i	0.674368	−	0.738395i	$-0.264416\pi$
$641$	−7.65325	−	13.2558i	−0.302285	−	0.523573i	−0.976653	+	0.214822i	$0.931083\pi$
$642$	−4.46533	−	2.57806i	−0.176232	−	0.101748i
$643$		−	36.8625i		−	1.45372i	−0.686788	−	0.726858i	$-0.740980\pi$
$643$		−	36.8625i		−	1.45372i	0.686788	−	0.726858i	$-0.259020\pi$
$644$	−4.18458	+	15.6171i	−0.164896	+	0.615398i
$645$	−21.8840	−	4.95351i	−0.861683	−	0.195044i
$646$	3.65984	−	13.6587i	0.143994	−	0.537395i
$647$	18.2737	−	31.6509i	0.718413	−	1.24433i	−0.243216	−	0.969972i	$-0.578202\pi$
$647$	18.2737	−	31.6509i	0.718413	−	1.24433i	0.961629	−	0.274355i	$-0.0884643\pi$
$648$	−3.21209	+	5.56350i	−0.126183	+	0.218555i
$649$	3.91041	−	14.5939i	0.153497	−	0.572859i
$650$	11.7986	+	17.1723i	0.462778	+	0.673554i
$651$	7.97035	−	29.7457i	0.312383	−	1.16583i
$652$			17.7470i			0.695025i
$653$	−2.59423	−	1.49778i	−0.101520	−	0.0586126i	0.448380	−	0.893843i	$-0.352001\pi$
$653$	−2.59423	−	1.49778i	−0.101520	−	0.0586126i	−0.549900	+	0.835230i	$0.685334\pi$
$654$	2.71490	+	4.70235i	0.106161	+	0.183876i
$655$	6.69576	+	6.19039i	0.261625	+	0.241879i
$656$		−	5.39144i		−	0.210500i
$657$	−10.2317	−	2.74159i	−0.399179	−	0.106960i
$658$			10.1460i			0.395533i
$659$	8.79071	−	15.2259i	0.342437	−	0.593119i	−0.642447	−	0.766330i	$-0.722081\pi$
$659$	8.79071	−	15.2259i	0.342437	−	0.593119i	0.984885	+	0.173211i	$0.0554142\pi$
$660$	−3.09478	−	2.86120i	−0.120464	−	0.111372i
$661$	−6.22906	−	23.2472i	−0.242282	−	0.904210i	−0.974730	−	0.223386i	$-0.928289\pi$
$661$	−6.22906	−	23.2472i	−0.242282	−	0.904210i	0.732448	−	0.680823i	$-0.238378\pi$
$662$	−5.30966	+	1.42272i	−0.206366	+	0.0552955i
$663$	−9.25789	−	34.5509i	−0.359547	−	1.34185i
$664$	0.110416	+	0.0295859i	0.00428497	+	0.00114816i
$665$	−0.467249	−	11.9142i	−0.0181191	−	0.462012i
$666$	3.85786	+	1.75506i	0.149489	+	0.0680073i
$667$	55.3204	+	55.3204i	2.14201	+	2.14201i
$668$	8.66929	−	5.00522i	0.335425	−	0.193658i
$669$	−10.6288	+	18.4097i	−0.410934	+	0.711758i
$670$	−20.9586	+	6.50616i	−0.809701	+	0.251355i
$671$	−1.29625	+	0.347328i	−0.0500410	+	0.0134085i
$672$		−	3.23698i		−	0.124869i
$673$	−3.49445	−	13.0415i	−0.134701	−	0.502712i	−0.999999	−	0.00145339i	$-0.999537\pi$
$673$	−3.49445	−	13.0415i	−0.134701	−	0.502712i	0.865298	−	0.501258i	$-0.167129\pi$
$674$	−5.33725	+	5.33725i	−0.205583	+	0.205583i
$675$	27.5814	+	5.11602i	1.06161	+	0.196916i
$676$	4.36381			0.167839
$677$	22.4520	−	22.4520i	0.862902	−	0.862902i	−0.128772	−	0.991674i	$-0.541104\pi$
$677$	22.4520	−	22.4520i	0.862902	−	0.862902i	0.991674	+	0.128772i	$0.0411035\pi$
$678$	−5.84881	−	1.56718i	−0.224622	−	0.0601873i
$679$	0.222388	+	0.829962i	0.00853445	+	0.0318510i
$680$	−12.6379	+	0.495634i	−0.484643	+	0.0190067i
$681$	29.0060	+	7.77214i	1.11151	+	0.297829i
$682$	−3.05813	+	11.4131i	−0.117102	+	0.437030i
$683$	10.3425	+	17.9138i	0.395747	+	0.685453i	0.993196	−	0.116453i	$-0.0371525\pi$
$683$	10.3425	+	17.9138i	0.395747	+	0.685453i	−0.597450	+	0.801906i	$0.703819\pi$
$684$	1.68258	−	0.450847i	0.0643352	−	0.0172386i
$685$	−6.92982	−	22.3234i	−0.264775	−	0.852931i
$686$	19.4706	+	5.21714i	0.743392	+	0.199191i
$687$	−11.0759	−	2.96779i	−0.422574	−	0.113228i
$688$	3.30593	+	5.72604i	0.126038	+	0.218303i
$689$	21.2378	−	21.2378i	0.809096	−	0.809096i
$690$	−7.62643	−	24.5674i	−0.290333	−	0.935264i
$691$	−29.7824	+	17.1949i	−1.13297	+	0.654123i	−0.944681	−	0.327990i	$-0.893629\pi$
$691$	−29.7824	+	17.1949i	−1.13297	+	0.654123i	−0.188293	+	0.982113i	$0.560295\pi$
$692$	1.80501	+	1.80501i	0.0686160	+	0.0686160i
$693$	−1.30517	−	1.30517i	−0.0495794	−	0.0495794i
$694$	−6.86734	−	11.8946i	−0.260681	−	0.451512i
$695$	−1.85633	−	47.3337i	−0.0704145	−	1.79547i
$696$	−13.5649	−	7.83168i	−0.514175	−	0.296859i
$697$	30.4951			1.15508
$698$	−5.31791	−	3.07030i	−0.201286	−	0.116212i
$699$	−18.4494	−	10.6517i	−0.697819	−	0.402886i
$700$	−10.0533	+	3.55845i	−0.379981	+	0.134497i
$701$	−6.71711	+	25.0686i	−0.253702	+	0.946827i	0.715107	+	0.699015i	$0.246378\pi$
$701$	−6.71711	+	25.0686i	−0.253702	+	0.946827i	−0.968808	+	0.247812i	$0.920289\pi$
$702$	16.5310	−	16.5310i	0.623922	−	0.623922i
$703$	5.33495	+	14.2404i	0.201211	+	0.537087i
$704$			1.24199i			0.0468093i
$705$	−8.61302	−	13.6530i	−0.324385	−	0.514201i
$706$	26.5075	+	15.3041i	0.997623	+	0.575978i
$707$	5.68160	+	21.2040i	0.213679	+	0.797460i
$708$	−9.23095	+	15.9885i	−0.346920	+	0.600884i
$709$	7.52915	−	7.52915i	0.282763	−	0.282763i	−0.551447	−	0.834210i	$-0.685924\pi$
$709$	7.52915	−	7.52915i	0.282763	−	0.282763i	0.834210	+	0.551447i	$0.185924\pi$
$710$	19.4194	+	10.2188i	0.728796	+	0.383505i
$711$	0.864278	+	0.864278i	0.0324129	+	0.0324129i
$712$	1.84256	−	6.87653i	0.0690528	−	0.257709i
$713$	−50.9929	+	50.9929i	−1.90970	+	1.90970i
$714$	18.3090			0.685198
$715$	6.17453	+	9.78760i	0.230914	+	0.366036i
$716$	−5.33466	+	1.42942i	−0.199366	+	0.0534199i
$717$	−13.4911			−0.503834
$718$	−9.42634	+	5.44230i	−0.351788	+	0.203105i
$719$	−44.8295	+	25.8823i	−1.67186	+	0.965248i	−0.705262	+	0.708947i	$0.749171\pi$
$719$	−44.8295	+	25.8823i	−1.67186	+	0.965248i	−0.966597	+	0.256301i	$0.917496\pi$
$720$	−0.831295	−	1.31773i	−0.0309805	−	0.0491090i
$721$	−4.35877	−	16.2671i	−0.162329	−	0.605820i
$722$	−11.0418	−	6.37499i	−0.410933	−	0.237253i
$723$	11.9819	−	6.91776i	0.445612	−	0.257274i
$724$	10.4223	+	18.0520i	0.387342	+	0.670897i
$725$	−9.41147	+	50.7389i	−0.349533	+	1.88440i
$726$	10.1491	+	10.1491i	0.376669	+	0.376669i
$727$	13.1861	−	22.8390i	0.489046	−	0.847052i	−0.510875	−	0.859655i	$-0.670678\pi$
$727$	13.1861	−	22.8390i	0.489046	−	0.847052i	0.999921	+	0.0126028i	$0.00401169\pi$
$728$	−2.30033	+	8.58496i	−0.0852560	+	0.318180i
$729$		−	30.0197i		−	1.11184i
$730$	−23.0768	+	24.9607i	−0.854109	+	0.923837i
$731$	−32.3877	+	18.6990i	−1.19790	+	0.691609i
$732$	1.63981			0.0606091
$733$	−36.2759	+	9.72011i	−1.33988	+	0.359020i	−0.856391	−	0.516329i	$-0.827298\pi$
$733$	−36.2759	+	9.72011i	−1.33988	+	0.359020i	−0.483492	+	0.875349i	$0.660632\pi$
$734$	−9.00688	−	9.00688i	−0.332450	−	0.332450i
$735$	−7.94267	+	2.46564i	−0.292970	+	0.0909463i
$736$	−3.79012	+	6.56469i	−0.139706	+	0.241978i
$737$	−11.7738	+	3.15478i	−0.433694	+	0.116208i
$738$	1.87831	+	3.25333i	0.0691415	+	0.119757i
$739$	−39.7737			−1.46310			−0.731549	−	0.681788i	$-0.761202\pi$
$739$	−39.7737			−1.46310			−0.731549	+	0.681788i	$0.761202\pi$
$740$	10.7497	−	8.33335i	0.395165	−	0.306340i
$741$	15.8100			0.580794
$742$	7.68678	+	13.3139i	0.282190	+	0.488768i
$743$	37.7236	−	10.1080i	1.38395	−	0.370827i	0.511393	−	0.859347i	$-0.329130\pi$
$743$	37.7236	−	10.1080i	1.38395	−	0.370827i	0.872553	+	0.488520i	$0.162463\pi$
$744$	7.21903	−	12.5037i	0.264663	−	0.458409i
$745$	18.6515	−	35.4444i	0.683336	−	1.29858i
$746$	−12.2369	−	12.2369i	−0.448023	−	0.448023i
$747$	−0.0769351	+	0.0206147i	−0.00281491	+	0.000754252i
$748$	−7.02495			−0.256858
$749$	−6.27563	+	3.62323i	−0.229306	+	0.132390i
$750$	10.5075	−	13.3228i	0.383679	−	0.486478i
$751$		−	21.9626i		−	0.801428i	−0.916203	−	0.400714i	$-0.868762\pi$
$751$		−	21.9626i		−	0.801428i	0.916203	−	0.400714i	$-0.131238\pi$
$752$	−1.23118	+	4.59481i	−0.0448964	+	0.167556i
$753$	−0.307895	+	0.533290i	−0.0112203	+	0.0194342i
$754$	30.4106	+	30.4106i	1.10749	+	1.10749i
$755$	6.83069	+	10.8277i	0.248594	+	0.394061i
$756$	5.98320	+	10.3632i	0.217607	+	0.376906i
$757$	−0.109739	+	0.0633581i	−0.00398855	+	0.00230279i	−0.501993	−	0.864872i	$-0.667400\pi$
$757$	−0.109739	+	0.0633581i	−0.00398855	+	0.00230279i	0.498004	+	0.867175i	$0.334066\pi$
$758$	23.2093	+	13.3999i	0.843001	+	0.486707i
$759$	−3.69800	−	13.8011i	−0.134229	−	0.500948i
$760$	1.23413	−	5.45225i	0.0447666	−	0.197774i
$761$	9.07376	−	5.23874i	0.328923	−	0.189904i	−0.326440	−	0.945218i	$-0.605849\pi$
$761$	9.07376	−	5.23874i	0.328923	−	0.189904i	0.655363	+	0.755314i	$0.272516\pi$
$762$	−9.49623	+	5.48265i	−0.344012	+	0.198615i
$763$	7.63111			0.276265
$764$	2.54904	−	0.683014i	0.0922211	−	0.0247106i
$765$	7.45337	−	4.70198i	0.269477	−	0.170000i
$766$	−2.07882			−0.0751107
$767$	35.8439	−	35.8439i	1.29425	−	1.29425i
$768$	0.392794	−	1.46593i	0.0141737	−	0.0528970i
$769$	−25.1503	−	25.1503i	−0.906945	−	0.906945i	0.0890797	−	0.996024i	$-0.471607\pi$
$769$	−25.1503	−	25.1503i	−0.906945	−	0.906945i	−0.996024	+	0.0890797i	$0.971607\pi$
$770$	−5.65715	+	1.75614i	−0.203870	+	0.0632871i
$771$	16.1921	−	16.1921i	0.583142	−	0.583142i
$772$	9.88101	−	17.1144i	0.355625	−	0.615961i
$773$	−11.6870	−	43.6165i	−0.420352	−	1.56878i	−0.773867	−	0.633348i	$-0.781680\pi$
$773$	−11.6870	−	43.6165i	−0.420352	−	1.56878i	0.353515	−	0.935429i	$-0.384986\pi$
$774$	−3.98976	−	2.30349i	−0.143409	−	0.0827972i
$775$	−46.7698	−	8.67524i	−1.68002	−	0.311624i
$776$			0.402849i			0.0144614i
$777$	−16.0222	+	11.4445i	−0.574795	+	0.410568i
$778$	−17.6460	+	17.6460i	−0.632640	+	0.632640i
$779$	−3.48852	+	13.0194i	−0.124989	+	0.466467i
$780$	−4.19238	−	13.5051i	−0.150111	−	0.483560i
$781$	10.5555	+	6.09422i	0.377705	+	0.218068i
$782$	−37.1312	−	21.4377i	−1.32781	−	0.766611i
$783$	57.9039			2.06932
$784$	2.12237	+	1.22535i	0.0757990	+	0.0437626i
$785$	−11.0474	+	11.9493i	−0.394300	+	0.426489i
$786$	−3.09453	−	5.35989i	−0.110378	−	0.191181i
$787$	4.28839	+	4.28839i	0.152865	+	0.152865i	0.779396	−	0.626532i	$-0.215526\pi$
$787$	4.28839	+	4.28839i	0.152865	+	0.152865i	−0.626532	+	0.779396i	$0.715526\pi$
$788$	8.51085	+	8.51085i	0.303187	+	0.303187i
$789$	−26.9943	+	15.5852i	−0.961024	+	0.554847i
$790$	3.74613	−	1.16291i	0.133281	−	0.0413744i
$791$	−6.01745	+	6.01745i	−0.213956	+	0.213956i
$792$	−0.432694	−	0.749448i	−0.0153751	−	0.0266305i
$793$	−4.34902	−	1.16532i	−0.154438	−	0.0413816i
$794$	−8.60020	−	2.30442i	−0.305210	−	0.0817807i
$795$	−21.6459	−	11.3905i	−0.767702	−	0.403978i
$796$	1.74988	−	0.468880i	0.0620230	−	0.0166190i
$797$	−26.8938	−	46.5814i	−0.952628	−	1.65000i	−0.739706	−	0.672930i	$-0.765035\pi$
$797$	−26.8938	−	46.5814i	−0.952628	−	1.65000i	−0.212922	−	0.977069i	$-0.568298\pi$
$798$	−2.09449	+	7.81672i	−0.0741440	+	0.276709i
$799$	−25.9892	−	6.96378i	−0.919432	−	0.246361i
$800$	−4.98464	+	0.391577i	−0.176234	+	0.0138443i
$801$	1.28385	+	4.79139i	0.0453626	+	0.169295i
$802$	−21.0108	−	5.62984i	−0.741918	−	0.198796i
$803$	−13.3511	+	13.3511i	−0.471150	+	0.471150i
$804$	14.8944			0.525285
$805$	−35.2607	−	7.98135i	−1.24278	−	0.281306i
$806$	−28.0316	+	28.0316i	−0.987372	+	0.987372i
$807$	−2.59552	−	9.68662i	−0.0913667	−	0.340985i
$808$			10.2921i			0.362074i
$809$	4.87488	−	1.30622i	0.171392	−	0.0459243i	−0.172103	−	0.985079i	$-0.555056\pi$
$809$	4.87488	−	1.30622i	0.171392	−	0.0459243i	0.343494	+	0.939155i	$0.388389\pi$
$810$	−12.7123	−	6.68943i	−0.446664	−	0.235042i
$811$	−0.576314	+	0.998205i	−0.0202371	+	0.0350517i	−0.875967	−	0.482372i	$-0.839775\pi$
$811$	−0.576314	+	0.998205i	−0.0202371	+	0.0350517i	0.855729	+	0.517423i	$0.173109\pi$
$812$	−19.0642	+	11.0067i	−0.669024	+	0.386261i
$813$	14.8198	+	14.8198i	0.519754	+	0.519754i
$814$	6.14754	−	4.39110i	0.215471	−	0.153908i
$815$	−39.6530	+	1.55511i	−1.38898	+	0.0544730i
$816$	8.29158	+	2.22172i	0.290263	+	0.0777758i
$817$	−4.27820	−	15.9665i	−0.149675	−	0.558596i
$818$	33.4267	−	8.95667i	1.16874	−	0.313163i
$819$	−1.60281	−	5.98178i	−0.0560069	−	0.209020i
$820$	12.0464	−	0.472433i	0.420677	−	0.0164981i
$821$	26.8808	−	46.5589i	0.938145	−	1.62492i	0.169218	−	0.985579i	$-0.445876\pi$
$821$	26.8808	−	46.5589i	0.938145	−	1.62492i	0.768927	−	0.639337i	$-0.220791\pi$
$822$			15.8643i			0.553330i
$823$	45.9677	+	12.3170i	1.60233	+	0.429344i	0.945746	−	0.324907i	$-0.105333\pi$
$823$	45.9677	+	12.3170i	1.60233	+	0.429344i	0.656587	+	0.754251i	$0.272000\pi$
$824$		−	7.89579i		−	0.275063i
$825$	6.12173	−	7.16554i	0.213131	−	0.249472i
$826$	12.9733	+	22.4704i	0.451399	+	0.781845i
$827$	−2.70676	−	1.56275i	−0.0941234	−	0.0543422i	0.452199	−	0.891917i	$-0.350640\pi$
$827$	−2.70676	−	1.56275i	−0.0941234	−	0.0543422i	−0.546323	+	0.837575i	$0.683973\pi$
$828$		−	5.28173i		−	0.183553i
$829$	−1.17247	+	4.37573i	−0.0407217	+	0.151975i	−0.983293	−	0.182029i	$-0.941733\pi$
$829$	−1.17247	+	4.37573i	−0.0407217	+	0.151975i	0.942571	+	0.334005i	$0.108400\pi$
$830$	−0.0564299	+	0.249301i	−0.00195871	+	0.00865335i
$831$	0.0909062	−	0.339267i	0.00315350	−	0.0117690i
$832$	−2.08350	+	3.60872i	−0.0722322	+	0.125110i
$833$	−6.93084	+	12.0046i	−0.240139	+	0.415934i
$834$	−8.32115	+	31.0549i	−0.288138	+	1.07534i
$835$	11.9431	+	18.9316i	0.413307	+	0.655156i
$836$	0.803629	−	2.99918i	0.0277941	−	0.103729i
$837$			53.3743i			1.84489i
$838$	−33.4282	−	19.2998i	−1.15476	−	0.666699i
$839$	1.29920	+	2.25028i	0.0448534	+	0.0776884i	0.887581	−	0.460653i	$-0.152385\pi$
$839$	1.29920	+	2.25028i	0.0448534	+	0.0776884i	−0.842727	+	0.538341i	$0.819051\pi$
$840$	7.23255	−	0.283646i	0.249547	−	0.00978670i
$841$			77.5206i			2.67313i
$842$	14.7139	+	3.94257i	0.507074	+	0.135870i
$843$			23.5690i			0.811761i
$844$	1.00922	−	1.74801i	0.0347387	−	0.0601691i
$845$	0.382385	+	9.75027i	0.0131545	+	0.335420i
$846$	−0.857852	−	3.20155i	−0.0294936	−	0.110072i
$847$	19.4845	−	5.22087i	0.669497	−	0.179391i
$848$	1.86551	+	6.96219i	0.0640620	+	0.239083i
$849$	45.0913	+	12.0822i	1.54753	+	0.414659i
$850$	−2.21484	−	28.1942i	−0.0759683	−	0.967052i
$851$	45.8937	−	4.44952i	1.57321	−	0.152528i
$852$	−10.5313	−	10.5313i	−0.360797	−	0.360797i
$853$	4.71823	−	2.72407i	0.161549	−	0.0932704i	−0.417046	−	0.908885i	$-0.636935\pi$
$853$	4.71823	−	2.72407i	0.161549	−	0.0932704i	0.578595	+	0.815615i	$0.303601\pi$
$854$	1.15230	−	1.99585i	0.0394311	−	0.0682966i
$855$	1.15479	+	3.71998i	0.0394930	+	0.127221i
$856$	−3.28169	+	0.879327i	−0.112166	+	0.0300548i
$857$			18.8571i			0.644145i	0.946715	+	0.322072i	$0.104379\pi$
$857$			18.8571i			0.644145i	−0.946715	+	0.322072i	$0.895621\pi$
$858$	−2.03285	−	7.58670i	−0.0694004	−	0.259006i
$859$	7.44096	−	7.44096i	0.253882	−	0.253882i	−0.568678	−	0.822560i	$-0.692545\pi$
$859$	7.44096	−	7.44096i	0.253882	−	0.253882i	0.822560	+	0.568678i	$0.192545\pi$
$860$	−12.5043	+	7.88837i	−0.426393	+	0.268991i
$861$	−17.4520			−0.594762
$862$	8.08597	−	8.08597i	0.275409	−	0.275409i
$863$	−19.0095	−	5.09357i	−0.647090	−	0.173387i	−0.0796772	−	0.996821i	$-0.525389\pi$
$863$	−19.0095	−	5.09357i	−0.647090	−	0.173387i	−0.567413	+	0.823433i	$0.692056\pi$
$864$	1.45207	+	5.41920i	0.0494004	+	0.184365i
$865$	−3.87485	+	4.19118i	−0.131749	+	0.142504i
$866$	−30.5378	−	8.18258i	−1.03772	−	0.278055i
$867$	−5.88902	+	21.9781i	−0.200002	+	0.746416i
$868$	−10.1457	−	17.5729i	−0.344368	−	0.596463i
$869$	2.10445	−	0.563885i	0.0713885	−	0.0191285i
$870$	16.3101	−	30.9949i	0.552964	−	1.05083i
$871$	−39.5022	−	10.5846i	−1.33848	−	0.358645i
$872$	3.45589	+	0.926002i	0.117031	+	0.0313584i
$873$	−0.140347	−	0.243089i	−0.00475004	−	0.00822731i
$874$	13.4001	−	13.4001i	0.453266	−	0.453266i
$875$	−8.83176	−	22.1509i	−0.298568	−	0.748837i
$876$	19.9808	−	11.5359i	0.675088	−	0.389762i
$877$	−10.4044	−	10.4044i	−0.351331	−	0.351331i	0.509274	−	0.860605i	$-0.329914\pi$
$877$	−10.4044	−	10.4044i	−0.351331	−	0.351331i	−0.860605	+	0.509274i	$0.829914\pi$
$878$	7.32762	+	7.32762i	0.247295	+	0.247295i
$879$	4.80124	+	8.31599i	0.161942	+	0.280491i
$880$	−2.77504	+	0.108831i	−0.0935467	+	0.00366870i
$881$	24.3451	+	14.0557i	0.820209	+	0.473548i	0.850488	−	0.525994i	$-0.176306\pi$
$881$	24.3451	+	14.0557i	0.820209	+	0.473548i	−0.0302797	+	0.999541i	$0.509640\pi$
$882$	−1.70759			−0.0574975
$883$	−4.83400	−	2.79091i	−0.162677	−	0.0939216i	0.416451	−	0.909158i	$-0.363274\pi$
$883$	−4.83400	−	2.79091i	−0.162677	−	0.0939216i	−0.579128	+	0.815236i	$0.696607\pi$
$884$	−20.4117	−	11.7847i	−0.686518	−	0.396361i
$885$	−36.5327	−	19.2242i	−1.22803	−	0.646213i
$886$	3.87108	−	14.4471i	0.130051	−	0.485359i
$887$	12.3904	−	12.3904i	0.416030	−	0.416030i	−0.467803	−	0.883833i	$-0.654954\pi$
$887$	12.3904	−	12.3904i	0.416030	−	0.416030i	0.883833	+	0.467803i	$0.154954\pi$
$888$	−8.64470	+	3.23860i	−0.290097	+	0.108680i
$889$			15.4108i			0.516860i
$890$	15.5260	+	3.51436i	0.520434	+	0.117802i
$891$	−6.90982	−	3.98939i	−0.231488	−	0.133650i
$892$	3.62529	+	13.5298i	0.121384	+	0.453010i
$893$	5.94613	−	10.2990i	0.198980	−	0.344643i
$894$	−19.2218	+	19.2218i	−0.642874	+	0.642874i
$895$	−3.66128	−	11.7942i	−0.122383	−	0.394238i
$896$	−1.50819	−	1.50819i	−0.0503852	−	0.0503852i
$897$	12.4071	−	46.3039i	0.414261	−	1.54604i
$898$	27.2422	−	27.2422i	0.909084	−	0.909084i
$899$	−98.1878			−3.27475
$900$	2.87144	−	1.97287i	0.0957145	−	0.0657625i
$901$	−39.3796	+	10.5517i	−1.31192	+	0.351529i
$902$	6.69612			0.222956
$903$	18.5351	−	10.7012i	0.616810	−	0.356115i
$904$	−3.45530	+	1.99492i	−0.114922	+	0.0663501i
$905$	−39.4212	+	24.8689i	−1.31040	+	0.826672i
$906$	−2.24888	−	8.39293i	−0.0747140	−	0.278836i
$907$	−0.574584	−	0.331736i	−0.0190788	−	0.0110151i	0.490430	−	0.871480i	$-0.336840\pi$
$907$	−0.574584	−	0.331736i	−0.0190788	−	0.0110151i	−0.509509	+	0.860465i	$0.670173\pi$
$908$	17.1359	−	9.89342i	0.568675	−	0.328325i
$909$	−3.58563	−	6.21049i	−0.118928	−	0.205989i
$910$	−19.3834	−	4.38748i	−0.642553	−	0.145444i
$911$	−27.6384	−	27.6384i	−0.915702	−	0.915702i	0.0810110	−	0.996713i	$-0.474185\pi$
$911$	−27.6384	−	27.6384i	−0.915702	−	0.915702i	−0.996713	+	0.0810110i	$0.974185\pi$
$912$	−1.89705	+	3.28579i	−0.0628176	+	0.108803i
$913$	−0.0367454	+	0.137136i	−0.00121610	+	0.00453853i
$914$		−	32.5741i		−	1.07745i
$915$	0.143691	+	3.66391i	0.00475027	+	0.121125i
$916$	−6.54334	+	3.77780i	−0.216198	+	0.124822i
$917$	−8.69820			−0.287240
$918$	−30.6521	+	8.21320i	−1.01167	+	0.271076i
$919$	16.7230	+	16.7230i	0.551641	+	0.551641i	0.926914	−	0.375273i	$-0.122451\pi$
$919$	16.7230	+	16.7230i	0.551641	+	0.551641i	−0.375273	+	0.926914i	$0.622451\pi$
$920$	−14.9999	−	7.89323i	−0.494533	−	0.260232i
$921$	14.1491	−	24.5070i	0.466229	−	0.807532i
$922$	−8.93886	+	2.39516i	−0.294386	+	0.0788804i
$923$	20.4466	+	35.4146i	0.673009	+	1.16569i
$924$	4.02030			0.132258
$925$	19.5616	+	23.2883i	0.643181	+	0.765714i
$926$	−21.0824			−0.692812
$927$	2.75079	+	4.76451i	0.0903479	+	0.156487i
$928$	−9.96921	+	2.67124i	−0.327255	+	0.0876878i
$929$	8.45362	−	14.6421i	0.277354	−	0.480392i	−0.693372	−	0.720580i	$-0.743876\pi$
$929$	8.45362	−	14.6421i	0.277354	−	0.480392i	0.970726	+	0.240188i	$0.0772091\pi$
$930$	28.5703	+	15.0342i	0.936857	+	0.492991i
$931$	−4.33228	−	4.33228i	−0.141985	−	0.141985i
$932$	−13.5590	+	3.63311i	−0.444139	+	0.119007i
$933$	−2.19528			−0.0718702
$934$	−22.1497	+	12.7881i	−0.724760	+	0.418440i
$935$	−0.615573	−	15.6962i	−0.0201314	−	0.513321i
$936$		−	2.90345i		−	0.0949023i
$937$	−2.35352	+	8.78346i	−0.0768862	+	0.286943i	−0.993654	−	0.112477i	$-0.964122\pi$
$937$	−2.35352	+	8.78346i	−0.0768862	+	0.286943i	0.916768	+	0.399420i	$0.130788\pi$
$938$	10.4664	−	18.1283i	0.341740	−	0.591911i
$939$	−6.49794	−	6.49794i	−0.212052	−	0.212052i
$940$	−10.3743	−	2.34825i	−0.338372	−	0.0765915i
$941$	−0.722576	−	1.25154i	−0.0235553	−	0.0407990i	0.854007	−	0.520261i	$-0.174165\pi$
$941$	−0.722576	−	1.25154i	−0.0235553	−	0.0407990i	−0.877563	+	0.479462i	$0.840832\pi$
$942$	9.56531	−	5.52253i	0.311655	−	0.179934i
$943$	35.3931	+	20.4342i	1.15256	+	0.665430i
$944$	3.14851	+	11.7504i	0.102475	+	0.382442i
$945$	−22.6307	+	14.2766i	−0.736178	+	0.464419i
$946$	−7.11169	+	4.10594i	−0.231221	+	0.133496i
$947$	44.1661	−	25.4993i	1.43520	−	0.828616i	0.437693	−	0.899124i	$-0.355796\pi$
$947$	44.1661	−	25.4993i	1.43520	−	0.828616i	0.997511	+	0.0705085i	$0.0224622\pi$
$948$	−2.66222			−0.0864649
$949$	−61.1899	+	16.3958i	−1.98631	+	0.532230i
$950$	12.2904	+	2.27972i	0.398753	+	0.0739639i
$951$	27.1794			0.881354
$952$	8.53065	−	8.53065i	0.276480	−	0.276480i
$953$	−9.20777	+	34.3639i	−0.298269	+	1.11315i	0.640317	+	0.768110i	$0.278803\pi$
$953$	−9.20777	+	34.3639i	−0.298269	+	1.11315i	−0.938586	+	0.345044i	$0.887864\pi$
$954$	−3.55124	−	3.55124i	−0.114975	−	0.114975i
$955$	1.74946	+	5.63560i	0.0566111	+	0.182364i
$956$	−6.28584	+	6.28584i	−0.203299	+	0.203299i
$957$	9.72688	−	16.8474i	0.314425	−	0.544601i
$958$	1.92385	+	7.17989i	0.0621566	+	0.231972i
$959$	19.3088	+	11.1479i	0.623513	+	0.359986i
$960$	3.30981	+	0.749185i	0.106824	+	0.0241798i
$961$		−	59.5069i		−	1.91958i
$962$	25.2285	−	2.44598i	0.813400	−	0.0788614i
$963$	1.67391	−	1.67391i	0.0539410	−	0.0539410i
$964$	2.35952	−	8.80585i	0.0759950	−	0.283617i
$965$	39.1054	+	20.5780i	1.25885	+	0.662428i
$966$	21.2498	+	12.2686i	0.683700	+	0.394735i
$967$	41.1262	+	23.7442i	1.32253	+	0.763563i	0.984132	−	0.177439i	$-0.0567814\pi$
$967$	41.1262	+	23.7442i	1.32253	+	0.763563i	0.338399	+	0.941003i	$0.390115\pi$
$968$	9.45746			0.303974
$969$	−18.5851	−	10.7301i	−0.597039	−	0.344701i
$970$	−0.900105	+	0.0353003i	−0.0289006	+	0.00113342i
$971$	30.3430	+	52.5556i	0.973753	+	1.68659i	0.683989	+	0.729492i	$0.260244\pi$
$971$	30.3430	+	52.5556i	0.973753	+	1.68659i	0.289764	+	0.957098i	$0.406423\pi$
$972$	−5.00739	−	5.00739i	−0.160612	−	0.160612i
$973$	31.9504	+	31.9504i	1.02428	+	1.02428i
$974$	−7.13839	+	4.12135i	−0.228729	+	0.132057i
$975$	29.8078	−	10.5506i	0.954612	−	0.337891i
$976$	0.764030	−	0.764030i	0.0244560	−	0.0244560i
$977$	−7.95510	−	13.7786i	−0.254506	−	0.440818i	0.710255	−	0.703944i	$-0.248580\pi$
$977$	−7.95510	−	13.7786i	−0.254506	−	0.440818i	−0.964761	+	0.263127i	$0.915246\pi$
$978$	26.0158	+	6.97090i	0.831892	+	0.222905i
$979$	8.54058	+	2.28844i	0.272958	+	0.0731389i
$980$	−2.55189	+	4.84950i	−0.0815171	+	0.154911i
$981$	−2.40797	+	0.645215i	−0.0768807	+	0.0206001i
$982$	8.12099	+	14.0660i	0.259151	+	0.448863i
$983$	1.00321	−	3.74405i	0.0319976	−	0.119417i	−0.948080	−	0.318032i	$-0.896978\pi$
$983$	1.00321	−	3.74405i	0.0319976	−	0.119417i	0.980077	+	0.198616i	$0.0636446\pi$
$984$	−7.90345	−	2.11772i	−0.251953	−	0.0675106i
$985$	−18.2705	+	19.7620i	−0.582145	+	0.629670i
$986$	−15.1091	−	56.3879i	−0.481171	−	1.79576i
$987$	14.8733	+	3.98530i	0.473423	+	0.126853i
$988$	7.36628	−	7.36628i	0.234353	−	0.234353i
$989$	−50.1196			−1.59371
$990$	1.63661	−	1.03246i	0.0520150	−	0.0328138i
$991$	−37.7253	+	37.7253i	−1.19838	+	1.19838i	−0.223732	+	0.974651i	$0.571824\pi$
$991$	−37.7253	+	37.7253i	−1.19838	+	1.19838i	−0.974651	+	0.223732i	$0.928176\pi$
$992$	−2.46228	−	9.18935i	−0.0781774	−	0.291762i
$993$			8.34240i			0.264738i
$994$	−20.2183	+	5.41749i	−0.641287	+	0.171832i
$995$	1.20098	+	3.86877i	0.0380736	+	0.122648i
$996$	0.0867414	−	0.150241i	0.00274851	−	0.00476056i
$997$	12.4280	−	7.17533i	0.393600	−	0.227245i	−0.290119	−	0.956991i	$-0.593695\pi$
$997$	12.4280	−	7.17533i	0.393600	−	0.227245i	0.683719	+	0.729746i	$0.260361\pi$
$998$	11.3254	+	11.3254i	0.358501	+	0.358501i
$999$	21.6898	−	26.3471i	0.686235	−	0.833586i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.q.e.267.1	✓	16
5.3	odd	4		370.2.r.e.193.1	yes	16
37.14	odd	12		370.2.r.e.347.1	yes	16
185.88	even	12	inner	370.2.q.e.273.1	yes	16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.q.e.267.1	✓	16	1.1	even	1	trivial
370.2.q.e.273.1	yes	16	185.88	even	12	inner
370.2.r.e.193.1	yes	16	5.3	odd	4
370.2.r.e.347.1	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)

\(f(q)\)	\(=\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-1.46593 + 0.392794i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.97882 - 1.04129i) q^{5} +(1.07313 + 1.07313i) q^{6} +(2.06023 - 0.552037i) q^{7} +1.00000 q^{8} +(-0.603425 + 0.348387i) q^{9} +O(q^{10})\)	\(q+(-0.500000 - 0.866025i) q^{2} +(-1.46593 + 0.392794i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(-1.97882 - 1.04129i) q^{5} +(1.07313 + 1.07313i) q^{6} +(2.06023 - 0.552037i) q^{7} +1.00000 q^{8} +(-0.603425 + 0.348387i) q^{9} +(0.0876265 + 2.23435i) q^{10} +1.24199i q^{11} +(0.392794 - 1.46593i) q^{12} +(-2.08350 + 3.60872i) q^{13} +(-1.50819 - 1.50819i) q^{14} +(3.30981 + 0.749185i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(4.89842 - 2.82810i) q^{17} +(0.603425 + 0.348387i) q^{18} +(0.647049 + 2.41482i) q^{19} +(1.89119 - 1.19306i) q^{20} +(-2.80331 + 1.61849i) q^{21} +(1.07560 - 0.620995i) q^{22} +7.58025 q^{23} +(-1.46593 + 0.392794i) q^{24} +(2.83144 + 4.12104i) q^{25} +4.16699 q^{26} +(3.96713 - 3.96713i) q^{27} +(-0.552037 + 2.06023i) q^{28} +(7.29797 + 7.29797i) q^{29} +(-1.00609 - 3.24097i) q^{30} +(-6.72707 + 6.72707i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(-0.487846 - 1.82067i) q^{33} +(-4.89842 - 2.82810i) q^{34} +(-4.65165 - 1.05291i) q^{35} -0.696775i q^{36} +(6.05437 - 0.586988i) q^{37} +(1.76777 - 1.76777i) q^{38} +(1.63677 - 6.10850i) q^{39} +(-1.97882 - 1.04129i) q^{40} +(4.66912 + 2.69572i) q^{41} +(2.80331 + 1.61849i) q^{42} -6.61187 q^{43} +(-1.07560 - 0.620995i) q^{44} +(1.55684 - 0.0610560i) q^{45} +(-3.79012 - 6.56469i) q^{46} +(-3.36364 - 3.36364i) q^{47} +(1.07313 + 1.07313i) q^{48} +(-2.12237 + 1.22535i) q^{49} +(2.15321 - 4.51262i) q^{50} +(-6.06986 + 6.06986i) q^{51} +(-2.08350 - 3.60872i) q^{52} +(-6.96219 - 1.86551i) q^{53} +(-5.41920 - 1.45207i) q^{54} +(1.29327 - 2.45767i) q^{55} +(2.06023 - 0.552037i) q^{56} +(-1.89705 - 3.28579i) q^{57} +(2.67124 - 9.96921i) q^{58} +(-11.7504 - 3.14851i) q^{59} +(-2.30372 + 2.49179i) q^{60} +(0.279654 + 1.04368i) q^{61} +(9.18935 + 2.46228i) q^{62} +(-1.05087 + 1.05087i) q^{63} +1.00000 q^{64} +(7.88057 - 4.97148i) q^{65} +(-1.33282 + 1.33282i) q^{66} +(2.54010 + 9.47979i) q^{67} +5.65620i q^{68} +(-11.1121 + 2.97747i) q^{69} +(1.41398 + 4.55490i) q^{70} +(4.90681 - 8.49885i) q^{71} +(-0.603425 + 0.348387i) q^{72} +(10.7498 + 10.7498i) q^{73} +(-3.53553 - 4.94975i) q^{74} +(-5.76939 - 4.92897i) q^{75} +(-2.41482 - 0.647049i) q^{76} +(0.685625 + 2.55879i) q^{77} +(-6.10850 + 1.63677i) q^{78} +(-0.454017 - 1.69441i) q^{79} +(0.0876265 + 2.23435i) q^{80} +(-3.21209 + 5.56350i) q^{81} -5.39144i q^{82} +(0.110416 + 0.0295859i) q^{83} -3.23698i q^{84} +(-12.6379 + 0.495634i) q^{85} +(3.30593 + 5.72604i) q^{86} +(-13.5649 - 7.83168i) q^{87} +1.24199i q^{88} +(1.84256 - 6.87653i) q^{89} +(-0.831295 - 1.31773i) q^{90} +(-2.30033 + 8.58496i) q^{91} +(-3.79012 + 6.56469i) q^{92} +(7.21903 - 12.5037i) q^{93} +(-1.23118 + 4.59481i) q^{94} +(1.23413 - 5.45225i) q^{95} +(0.392794 - 1.46593i) q^{96} +0.402849i q^{97} +(2.12237 + 1.22535i) q^{98} +(-0.432694 - 0.749448i) 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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