LMFDB - Embedded newform 300.2.n.a.191.48

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(11,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 8]))

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

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

chi := DirichletCharacter("300.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.n (of order $10$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			191.48
Character	$\chi$	$=$	300.191
Dual form			300.2.n.a.11.48

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.24841 + 0.664442i) q^{2} +(1.62298 - 0.604914i) q^{3} +(1.11703 + 1.65899i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.42807 + 0.323201i) q^{6} +0.309856i q^{7} +(0.292213 + 2.81329i) q^{8} +(2.26816 - 1.96353i) q^{9} +O(q^{10})$	\(q+(1.24841 + 0.664442i) q^{2} +(1.62298 - 0.604914i) q^{3} +(1.11703 + 1.65899i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.42807 + 0.323201i) q^{6} +0.309856i q^{7} +(0.292213 + 2.81329i) q^{8} +(2.26816 - 1.96353i) q^{9} +(1.03629 - 2.98766i) q^{10} +(-1.53656 - 1.11637i) q^{11} +(2.81647 + 2.01680i) q^{12} +(-3.79520 + 2.75737i) q^{13} +(-0.205881 + 0.386826i) q^{14} +(-1.89744 - 3.37634i) q^{15} +(-1.50447 + 3.70629i) q^{16} +(-4.30413 - 1.39850i) q^{17} +(4.13624 - 0.944224i) q^{18} +(5.24788 + 1.70514i) q^{19} +(3.27883 - 3.04126i) q^{20} +(0.187436 + 0.502891i) q^{21} +(-1.17648 - 2.41464i) q^{22} +(5.20321 + 3.78035i) q^{23} +(2.17606 + 4.38917i) q^{24} +(-4.76097 + 1.52747i) q^{25} +(-6.57006 + 0.920633i) q^{26} +(2.49342 - 4.55882i) q^{27} +(-0.514046 + 0.346120i) q^{28} +(-6.49757 + 2.11119i) q^{29} +(-0.125397 - 5.47579i) q^{30} +(-5.73466 - 1.86330i) q^{31} +(-4.34080 + 3.62732i) q^{32} +(-3.16912 - 0.882374i) q^{33} +(-4.44408 - 4.60574i) q^{34} +(0.684528 - 0.107120i) q^{35} +(5.79108 + 1.56951i) q^{36} +(3.24583 - 2.35823i) q^{37} +(5.41852 + 5.61562i) q^{38} +(-4.49158 + 6.77094i) q^{39} +(6.11405 - 1.61813i) q^{40} +(-0.902077 - 1.24160i) q^{41} +(-0.100146 + 0.752353i) q^{42} -3.75970i q^{43} +(0.135662 - 3.79616i) q^{44} +(-5.12192 - 4.33197i) q^{45} +(3.98389 + 8.17664i) q^{46} +(2.19448 + 6.75392i) q^{47} +(-0.199746 + 6.92532i) q^{48} +6.90399 q^{49} +(-6.95854 - 1.25649i) q^{50} +(-7.83151 + 0.333888i) q^{51} +(-8.81381 - 3.21610i) q^{52} +(0.721525 - 0.234438i) q^{53} +(6.14187 - 4.03453i) q^{54} +(-1.93507 + 3.78048i) q^{55} +(-0.871715 + 0.0905438i) q^{56} +(9.54870 - 0.407098i) q^{57} +(-9.51436 - 1.68164i) q^{58} +(11.0576 - 8.03382i) q^{59} +(3.48180 - 6.91933i) q^{60} +(-7.66779 - 5.57097i) q^{61} +(-5.92112 - 6.13650i) q^{62} +(0.608411 + 0.702802i) q^{63} +(-7.82922 + 1.64416i) q^{64} +(7.40358 + 7.43104i) q^{65} +(-3.37006 - 3.20726i) q^{66} +(-6.37132 - 2.07017i) q^{67} +(-2.48778 - 8.70266i) q^{68} +(10.7315 + 2.98796i) q^{69} +(0.925744 + 0.321100i) q^{70} +(0.750346 + 2.30933i) q^{71} +(6.18677 + 5.80723i) q^{72} +(-7.60274 - 5.52372i) q^{73} +(5.61902 - 0.787367i) q^{74} +(-6.80300 + 5.35903i) q^{75} +(3.03326 + 10.6109i) q^{76} +(0.345915 - 0.476111i) q^{77} +(-10.1062 + 5.46849i) q^{78} +(1.81171 - 0.588659i) q^{79} +(8.70797 + 2.04235i) q^{80} +(1.28909 - 8.90720i) q^{81} +(-0.301186 - 2.14940i) q^{82} +(-0.792743 + 2.43981i) q^{83} +(-0.624917 + 0.872700i) q^{84} +(-1.60156 + 9.99208i) q^{85} +(2.49810 - 4.69363i) q^{86} +(-9.26837 + 7.35689i) q^{87} +(2.69169 - 4.64900i) q^{88} +(5.28769 - 7.27788i) q^{89} +(-3.51590 - 8.81127i) q^{90} +(-0.854388 - 1.17596i) q^{91} +(-0.459388 + 12.8548i) q^{92} +(-10.4344 + 0.444859i) q^{93} +(-1.74798 + 9.88974i) q^{94} +(1.95272 - 12.1830i) q^{95} +(-4.85084 + 8.51289i) q^{96} +(3.88035 + 11.9425i) q^{97} +(8.61898 + 4.58730i) q^{98} +(-5.67719 + 0.484963i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	1.24841	+	0.664442i	0.882756	+	0.469831i
$2$	1.24841	+	0.664442i	0.882756	+	0.469831i
$3$	1.62298	−	0.604914i	0.937031	−	0.349247i
$3$	1.62298	−	0.604914i	0.937031	−	0.349247i
$4$	1.11703	+	1.65899i	0.558517	+	0.829493i
$5$	−0.345709	−	2.20918i	−0.154606	−	0.987976i
$5$	−0.345709	−	2.20918i	−0.154606	−	0.987976i
$6$	2.42807	+	0.323201i	0.991257	+	0.131946i
$7$			0.309856i			0.117114i	0.998284	+	0.0585572i	$0.0186500\pi$
$7$			0.309856i			0.117114i	−0.998284	+	0.0585572i	$0.981350\pi$
$8$	0.292213	+	2.81329i	0.103313	+	0.994649i
$9$	2.26816	−	1.96353i	0.756053	−	0.654510i
$10$	1.03629	−	2.98766i	0.327703	−	0.944781i
$11$	−1.53656	−	1.11637i	−0.463290	−	0.336600i	0.331531	−	0.943444i	$-0.392435\pi$
$11$	−1.53656	−	1.11637i	−0.463290	−	0.336600i	−0.794820	+	0.606845i	$0.792435\pi$
$12$	2.81647	+	2.01680i	0.813046	+	0.582200i
$13$	−3.79520	+	2.75737i	−1.05260	+	0.764758i	−0.972705	−	0.232045i	$-0.925458\pi$
$13$	−3.79520	+	2.75737i	−1.05260	+	0.764758i	−0.0798941	+	0.996803i	$0.525458\pi$
$14$	−0.205881	+	0.386826i	−0.0550240	+	0.103384i
$15$	−1.89744	−	3.37634i	−0.489918	−	0.871768i
$16$	−1.50447	+	3.70629i	−0.376117	+	0.926572i
$17$	−4.30413	−	1.39850i	−1.04391	−	0.339185i	−0.263631	−	0.964623i	$-0.584920\pi$
$17$	−4.30413	−	1.39850i	−1.04391	−	0.339185i	−0.780274	+	0.625438i	$0.784920\pi$
$18$	4.13624	−	0.944224i	0.974920	−	0.222556i
$19$	5.24788	+	1.70514i	1.20395	+	0.391186i	0.841212	−	0.540706i	$-0.181843\pi$
$19$	5.24788	+	1.70514i	1.20395	+	0.391186i	0.362735	+	0.931892i	$0.381843\pi$
$20$	3.27883	−	3.04126i	0.733169	−	0.680046i
$21$	0.187436	+	0.502891i	0.0409019	+	0.109740i
$22$	−1.17648	−	2.41464i	−0.250827	−	0.514803i
$23$	5.20321	+	3.78035i	1.08494	+	0.788257i	0.978538	−	0.206065i	$-0.0660660\pi$
$23$	5.20321	+	3.78035i	1.08494	+	0.788257i	0.106405	+	0.994323i	$0.466066\pi$
$24$	2.17606	+	4.38917i	0.444185	+	0.895935i
$25$	−4.76097	+	1.52747i	−0.952194	+	0.305494i
$26$	−6.57006	+	0.920633i	−1.28850	+	0.180551i
$27$	2.49342	−	4.55882i	0.479859	−	0.877345i
$28$	−0.514046	+	0.346120i	−0.0971456	+	0.0654105i
$29$	−6.49757	+	2.11119i	−1.20657	+	0.392038i	−0.842173	−	0.539207i	$-0.818724\pi$
$29$	−6.49757	+	2.11119i	−1.20657	+	0.392038i	−0.364395	+	0.931245i	$0.618724\pi$
$30$	−0.125397	−	5.47579i	−0.0228942	−	0.999738i
$31$	−5.73466	−	1.86330i	−1.02997	−	0.334659i	−0.255195	−	0.966890i	$-0.582140\pi$
$31$	−5.73466	−	1.86330i	−1.02997	−	0.334659i	−0.774780	+	0.632231i	$0.782140\pi$
$32$	−4.34080	+	3.62732i	−0.767352	+	0.641226i
$33$	−3.16912	−	0.882374i	−0.551673	−	0.153602i
$34$	−4.44408	−	4.60574i	−0.762154	−	0.789877i
$35$	0.684528	−	0.107120i	0.115706	−	0.0181066i
$36$	5.79108	+	1.56951i	0.965180	+	0.261585i
$37$	3.24583	−	2.35823i	0.533611	−	0.387691i	−0.288096	−	0.957602i	$-0.593022\pi$
$37$	3.24583	−	2.35823i	0.533611	−	0.387691i	0.821707	+	0.569911i	$0.193022\pi$
$38$	5.41852	+	5.61562i	0.879000	+	0.910974i
$39$	−4.49158	+	6.77094i	−0.719228	+	1.08422i
$40$	6.11405	−	1.61813i	0.966717	−	0.255849i
$41$	−0.902077	−	1.24160i	−0.140881	−	0.193906i	0.732746	−	0.680502i	$-0.238238\pi$
$41$	−0.902077	−	1.24160i	−0.140881	−	0.193906i	−0.873627	+	0.486596i	$0.838238\pi$
$42$	−0.100146	+	0.752353i	−0.0154528	+	0.116091i
$43$		−	3.75970i		−	0.573349i	−0.958028	−	0.286674i	$-0.907450\pi$
$43$		−	3.75970i		−	0.573349i	0.958028	−	0.286674i	$-0.0925498\pi$
$44$	0.135662	−	3.79616i	0.0204518	−	0.572292i
$45$	−5.12192	−	4.33197i	−0.763531	−	0.645771i
$46$	3.98389	+	8.17664i	0.587393	+	1.20558i
$47$	2.19448	+	6.75392i	0.320098	+	0.985161i	0.973605	+	0.228240i	$0.0732971\pi$
$47$	2.19448	+	6.75392i	0.320098	+	0.985161i	−0.653507	+	0.756921i	$0.726703\pi$
$48$	−0.199746	+	6.92532i	−0.0288308	+	0.999584i
$49$	6.90399			0.986284
$50$	−6.95854	−	1.25649i	−0.984086	−	0.177694i
$51$	−7.83151	+	0.333888i	−1.09663	+	0.0467536i
$52$	−8.81381	−	3.21610i	−1.22226	−	0.445993i
$53$	0.721525	−	0.234438i	0.0991091	−	0.0322025i	−0.259043	−	0.965866i	$-0.583407\pi$
$53$	0.721525	−	0.234438i	0.0991091	−	0.0322025i	0.358152	+	0.933663i	$0.383407\pi$
$54$	6.14187	−	4.03453i	0.835803	−	0.549029i
$55$	−1.93507	+	3.78048i	−0.260925	+	0.509759i
$56$	−0.871715	+	0.0905438i	−0.116488	+	0.0120994i
$57$	9.54870	−	0.407098i	1.26476	−	0.0539215i
$58$	−9.51436	−	1.68164i	−1.24930	−	0.220810i
$59$	11.0576	−	8.03382i	1.43958	−	1.04591i	0.451447	−	0.892298i	$-0.350908\pi$
$59$	11.0576	−	8.03382i	1.43958	−	1.04591i	0.988131	−	0.153617i	$-0.0490921\pi$
$60$	3.48180	−	6.91933i	0.449498	−	0.893281i
$61$	−7.66779	−	5.57097i	−0.981760	−	0.713290i	−0.0236585	−	0.999720i	$-0.507531\pi$
$61$	−7.66779	−	5.57097i	−0.981760	−	0.713290i	−0.958101	+	0.286430i	$0.907531\pi$
$62$	−5.92112	−	6.13650i	−0.751984	−	0.779337i
$63$	0.608411	+	0.702802i	0.0766526	+	0.0885448i
$64$	−7.82922	+	1.64416i	−0.978653	+	0.205520i
$65$	7.40358	+	7.43104i	0.918301	+	0.921707i
$66$	−3.37006	−	3.20726i	−0.414826	−	0.394786i
$67$	−6.37132	−	2.07017i	−0.778380	−	0.252911i	−0.107232	−	0.994234i	$-0.534199\pi$
$67$	−6.37132	−	2.07017i	−0.778380	−	0.252911i	−0.671149	+	0.741323i	$0.734199\pi$
$68$	−2.48778	−	8.70266i	−0.301687	−	1.05535i
$69$	10.7315	+	2.98796i	1.29192	+	0.359708i
$70$	0.925744	+	0.321100i	0.110648	+	0.0383787i
$71$	0.750346	+	2.30933i	0.0890497	+	0.274067i	0.985657	−	0.168759i	$-0.0539760\pi$
$71$	0.750346	+	2.30933i	0.0890497	+	0.274067i	−0.896608	+	0.442826i	$0.853976\pi$
$72$	6.18677	+	5.80723i	0.729118	+	0.684388i
$73$	−7.60274	−	5.52372i	−0.889834	−	0.646502i	0.0460010	−	0.998941i	$-0.485352\pi$
$73$	−7.60274	−	5.52372i	−0.889834	−	0.646502i	−0.935835	+	0.352439i	$0.885352\pi$
$74$	5.61902	−	0.787367i	0.653198	−	0.0915296i
$75$	−6.80300	+	5.35903i	−0.785542	+	0.618808i
$76$	3.03326	+	10.6109i	0.347939	+	1.21715i
$77$	0.345915	−	0.476111i	0.0394207	−	0.0542579i
$78$	−10.1062	+	5.46849i	−1.14430	+	0.619185i
$79$	1.81171	−	0.588659i	0.203833	−	0.0662293i	−0.205321	−	0.978695i	$-0.565824\pi$
$79$	1.81171	−	0.588659i	0.203833	−	0.0662293i	0.409154	+	0.912465i	$0.365824\pi$
$80$	8.70797	+	2.04235i	0.973581	+	0.228341i
$81$	1.28909	−	8.90720i	0.143233	−	0.989689i
$82$	−0.301186	−	2.14940i	−0.0332604	−	0.237362i
$83$	−0.792743	+	2.43981i	−0.0870149	+	0.267804i	−0.985091	−	0.172037i	$-0.944965\pi$
$83$	−0.792743	+	2.43981i	−0.0870149	+	0.267804i	0.898076	+	0.439841i	$0.144965\pi$
$84$	−0.624917	+	0.872700i	−0.0681840	+	0.0952194i
$85$	−1.60156	+	9.99208i	−0.173713	+	1.08379i
$86$	2.49810	−	4.69363i	0.269377	−	0.506127i
$87$	−9.26837	+	7.35689i	−0.993673	+	0.788741i
$88$	2.69169	−	4.64900i	0.286935	−	0.495586i
$89$	5.28769	−	7.27788i	0.560494	−	0.771454i	−0.430895	−	0.902402i	$-0.641802\pi$
$89$	5.28769	−	7.27788i	0.560494	−	0.771454i	0.991389	+	0.130948i	$0.0418021\pi$
$90$	−3.51590	−	8.81127i	−0.370608	−	0.928789i
$91$	−0.854388	−	1.17596i	−0.0895642	−	0.123275i
$92$	−0.459388	+	12.8548i	−0.0478945	+	1.34021i
$93$	−10.4344	+	0.444859i	−1.08200	+	0.0461297i
$94$	−1.74798	+	9.88974i	−0.180291	+	1.02005i
$95$	1.95272	−	12.1830i	0.200345	−	1.24995i
$96$	−4.85084	+	8.51289i	−0.495087	+	0.868844i
$97$	3.88035	+	11.9425i	0.393990	+	1.21258i	0.929745	+	0.368204i	$0.120027\pi$
$97$	3.88035	+	11.9425i	0.393990	+	1.21258i	−0.535755	+	0.844374i	$0.679973\pi$
$98$	8.61898	+	4.58730i	0.870649	+	0.463387i
$99$	−5.67719	+	0.484963i	−0.570579	+	0.0487406i
$100$	−7.85222	−	6.19215i	−0.785222	−	0.619215i
$101$		−	8.75109i		−	0.870766i	−0.900245	−	0.435383i	$-0.856613\pi$
$101$		−	8.75109i		−	0.870766i	0.900245	−	0.435383i	$-0.143387\pi$
$102$	−9.99875	−	4.78675i	−0.990024	−	0.473959i
$103$	4.44126	−	1.44305i	0.437610	−	0.142188i	−0.0819226	−	0.996639i	$-0.526106\pi$
$103$	4.44126	−	1.44305i	0.437610	−	0.142188i	0.519533	+	0.854451i	$0.326106\pi$
$104$	−8.86630	−	9.87127i	−0.869413	−	0.967957i
$105$	1.04618	−	0.587934i	0.102097	−	0.0573765i
$106$	1.05653	+	0.186738i	0.102619	+	0.0181376i
$107$	−0.307528			−0.0297299			−0.0148649	−	0.999890i	$-0.504732\pi$
$107$	−0.307528			−0.0297299			−0.0148649	+	0.999890i	$0.504732\pi$
$108$	10.3483	−	0.955808i	0.995762	−	0.0919727i
$109$	7.14020	−	5.18766i	0.683908	−	0.496888i	−0.190744	−	0.981640i	$-0.561090\pi$
$109$	7.14020	−	5.18766i	0.683908	−	0.496888i	0.874652	+	0.484752i	$0.161090\pi$
$110$	−4.92766	+	3.43383i	−0.469834	+	0.327403i
$111$	3.84140	−	5.79082i	0.364610	−	0.549640i
$112$	−1.14842	−	0.466168i	−0.108515	−	0.0440488i
$113$	5.33456	+	7.34239i	0.501833	+	0.690714i	0.982516	−	0.186181i	$-0.0596109\pi$
$113$	5.33456	+	7.34239i	0.501833	+	0.690714i	−0.480682	+	0.876895i	$0.659611\pi$
$114$	12.1911	+	5.83633i	1.14181	+	0.546622i
$115$	6.55269	−	12.8017i	0.611041	−	1.19377i
$116$	−10.7604	−	8.42110i	−0.999081	−	0.781880i
$117$	−3.19393	+	13.7062i	−0.295279	+	1.26713i
$118$	19.1424	−	2.68233i	1.76220	−	0.246929i
$119$	0.433332	−	1.33366i	0.0397235	−	0.122256i
$120$	8.94419	−	6.32468i	0.816489	−	0.577361i
$121$	−2.28447	−	7.03087i	−0.207679	−	0.639170i
$122$	−5.87092	−	12.0496i	−0.531528	−	1.09092i
$123$	−2.21512	−	1.46942i	−0.199731	−	0.132493i
$124$	−3.31462	−	11.5951i	−0.297661	−	1.04127i
$125$	5.02037	+	9.98979i	0.449035	+	0.893514i
$126$	0.292573	+	1.28164i	0.0260645	+	0.114177i
$127$	−8.06366	+	11.0987i	−0.715534	+	0.984848i	0.284127	+	0.958787i	$0.408296\pi$
$127$	−8.06366	+	11.0987i	−0.715534	+	0.984848i	−0.999660	+	0.0260609i	$0.991704\pi$
$128$	−10.8665	−	3.14948i	−0.960472	−	0.278378i
$129$	−2.27429	−	6.10194i	−0.200240	−	0.537246i
$130$	4.30518	+	14.1962i	0.377589	+	1.24509i
$131$	0.458670	−	1.41164i	0.0400742	−	0.123336i	−0.929018	−	0.370035i	$-0.879346\pi$
$131$	0.458670	−	1.41164i	0.0400742	−	0.123336i	0.969092	+	0.246699i	$0.0793458\pi$
$132$	−2.07617	−	6.24317i	−0.180707	−	0.543398i
$133$	−0.528348	+	1.62609i	−0.0458136	+	0.141000i
$134$	−6.57849	−	6.81778i	−0.568295	−	0.588966i
$135$	−10.9333	−	3.93240i	−0.940986	−	0.338447i
$136$	2.67666	−	12.5174i	0.229522	−	1.07336i
$137$	10.6892	+	14.7124i	0.913236	+	1.25696i	0.966050	+	0.258357i	$0.0831811\pi$
$137$	10.6892	+	14.7124i	0.913236	+	1.25696i	−0.0528136	+	0.998604i	$0.516819\pi$
$138$	11.4120	+	10.8607i	0.971450	+	0.924520i
$139$	6.52821	−	8.98531i	0.553715	−	0.762124i	−0.436795	−	0.899561i	$-0.643887\pi$
$139$	6.52821	−	8.98531i	0.553715	−	0.762124i	0.990510	+	0.137437i	$0.0438865\pi$
$140$	0.942352	+	1.01597i	0.0796433	+	0.0858647i
$141$	7.64715	+	9.63404i	0.644006	+	0.811332i
$142$	−0.597677	+	3.38154i	−0.0501559	+	0.283772i
$143$	8.90981			0.745075
$144$	3.86504	+	11.3605i	0.322086	+	0.946710i
$145$	6.91027	+	13.6245i	0.573866	+	1.13145i
$146$	−5.82112	−	11.9474i	−0.481759	−	0.988775i
$147$	11.2051	−	4.17632i	0.924179	−	0.344457i
$148$	7.53798	+	2.75056i	0.619618	+	0.226094i
$149$			10.3539i			0.848222i	0.905610	+	0.424111i	$0.139413\pi$
$149$			10.3539i			0.848222i	−0.905610	+	0.424111i	$0.860587\pi$
$150$	−12.0537	+	2.17006i	−0.984178	+	0.177184i
$151$			19.3082i			1.57128i	0.618685	+	0.785639i	$0.287666\pi$
$151$			19.3082i			1.57128i	−0.618685	+	0.785639i	$0.712334\pi$
$152$	−3.26356	+	15.2621i	−0.264710	+	1.23792i
$153$	−12.5084	+	5.27928i	−1.01125	+	0.426805i
$154$	0.748191	−	0.364540i	0.0602909	−	0.0293755i
$155$	−2.13385	+	13.3131i	−0.171395	+	1.06933i
$156$	−16.2501	+	0.111911i	−1.30105	+	0.00896005i
$157$	5.03933			0.402182			0.201091	−	0.979573i	$-0.435551\pi$
$157$	5.03933			0.402182			0.201091	+	0.979573i	$0.435551\pi$
$158$	2.65287	+	0.468888i	0.211051	+	0.0373027i
$159$	1.02921	−	0.816949i	0.0816216	−	0.0647883i
$160$	9.51407	+	8.33562i	0.752153	+	0.658989i
$161$	−1.17136	+	1.61224i	−0.0923164	+	0.127063i
$162$	7.52763	−	10.2633i	0.591426	−	0.806359i
$163$	6.18477	+	8.51261i	0.484429	+	0.666759i	0.979348	−	0.202180i	$-0.0648025\pi$
$163$	6.18477	+	8.51261i	0.484429	+	0.666759i	−0.494920	+	0.868939i	$0.664803\pi$
$164$	1.05215	−	2.88344i	0.0821591	−	0.225159i
$165$	−0.853732	+	7.30621i	−0.0664629	+	0.568788i
$166$	−2.61078	+	2.51914i	−0.202636	+	0.195524i
$167$	1.55001	−	4.77044i	0.119943	−	0.369148i	−0.873003	−	0.487716i	$-0.837830\pi$
$167$	1.55001	−	4.77044i	0.119943	−	0.369148i	0.992946	+	0.118568i	$0.0378303\pi$
$168$	−1.36001	+	0.674263i	−0.104927	+	0.0520205i
$169$	2.78321	−	8.56584i	0.214093	−	0.658911i
$170$	−8.63855	+	11.4100i	−0.662547	+	0.875110i
$171$	15.2511	−	6.43685i	1.16628	−	0.492238i
$172$	6.23729	−	4.19971i	0.475589	−	0.320225i
$173$	7.28298	−	10.0242i	0.553715	−	0.762123i	−0.436796	−	0.899561i	$-0.643887\pi$
$173$	7.28298	−	10.0242i	0.553715	−	0.762123i	0.990510	+	0.137438i	$0.0438868\pi$
$174$	−16.4589	+	3.02610i	−1.24775	+	0.229408i
$175$	−0.473295	−	1.47521i	−0.0357778	−	0.111516i
$176$	6.44931	−	4.01538i	0.486135	−	0.302670i
$177$	13.0866	−	19.7277i	0.983646	−	1.48282i
$178$	11.4369	−	5.57239i	0.857233	−	0.417668i
$179$	6.67793	+	20.5526i	0.499132	+	1.53617i	0.810417	+	0.585854i	$0.199241\pi$
$179$	6.67793	+	20.5526i	0.499132	+	1.53617i	−0.311285	+	0.950317i	$0.600759\pi$
$180$	1.46531	−	13.3361i	0.109218	−	0.994018i
$181$	6.78493	−	20.8819i	0.504320	−	1.55214i	−0.297592	−	0.954693i	$-0.596183\pi$
$181$	6.78493	−	20.8819i	0.504320	−	1.55214i	0.801911	−	0.597443i	$-0.203817\pi$
$182$	−0.285263	−	2.03577i	−0.0211451	−	0.150902i
$183$	−15.8147	−	4.40326i	−1.16905	−	0.325498i
$184$	−9.11479	+	15.7428i	−0.671951	+	1.16057i
$185$	−6.33188	−	6.35536i	−0.465529	−	0.467256i
$186$	−13.3219	−	6.37769i	−0.976813	−	0.467635i
$187$	5.05230	+	6.95389i	0.369461	+	0.508519i
$188$	−8.75335	+	11.1850i	−0.638403	+	0.815748i
$189$	1.41258	+	0.772601i	0.102750	+	0.0561985i
$190$	10.5327	−	13.9119i	0.764122	−	1.00927i
$191$	−4.26831	+	3.10111i	−0.308844	+	0.224389i	−0.731400	−	0.681948i	$-0.761133\pi$
$191$	−4.26831	+	3.10111i	−0.308844	+	0.224389i	0.422556	+	0.906337i	$0.361133\pi$
$192$	−11.7121	+	7.40445i	−0.845251	+	0.534370i
$193$	2.61953			0.188558			0.0942788	−	0.995546i	$-0.469945\pi$
$193$	2.61953			0.188558			0.0942788	+	0.995546i	$0.469945\pi$
$194$	−3.09084	+	17.4874i	−0.221909	+	1.25552i
$195$	16.5110	+	7.58194i	1.18238	+	0.542954i
$196$	7.71199	+	11.4536i	0.550857	+	0.818116i
$197$	−21.8387	+	7.09582i	−1.55594	+	0.505556i	−0.955720	−	0.294277i	$-0.904921\pi$
$197$	−21.8387	+	7.09582i	−1.55594	+	0.505556i	−0.600222	+	0.799834i	$0.704921\pi$
$198$	−7.40967	−	3.16673i	−0.526582	−	0.225050i
$199$		−	6.62396i		−	0.469560i	−0.972049	−	0.234780i	$-0.924563\pi$
$199$		−	6.62396i		−	0.469560i	0.972049	−	0.234780i	$-0.0754370\pi$
$200$	−5.68843	−	12.9477i	−0.402233	−	0.915537i
$201$	−11.5928	+	0.494247i	−0.817695	+	0.0348615i
$202$	5.81459	−	10.9249i	0.409113	−	0.768674i
$203$	−0.654164	−	2.01331i	−0.0459133	−	0.141307i
$204$	−9.30198	−	12.6194i	−0.651269	−	0.883535i
$205$	−2.43107	+	2.42209i	−0.169793	+	0.169166i
$206$	6.50332	+	1.14944i	0.453108	+	0.0800854i
$207$	19.2245	−	1.64222i	1.33620	−	0.114142i
$208$	−4.50987	−	18.2145i	−0.312703	−	1.26295i
$209$	−6.16010	−	8.47865i	−0.426103	−	0.586480i
$210$	1.69671	−	0.0388550i	0.117084	−	0.00268125i
$211$	9.71127	−	13.3664i	0.668551	−	0.920182i	−0.331175	−	0.943569i	$-0.607445\pi$
$211$	9.71127	−	13.3664i	0.668551	−	0.920182i	0.999726	+	0.0233873i	$0.00744509\pi$
$212$	1.19490	+	0.935125i	0.0820658	+	0.0642246i
$213$	2.61474	+	3.29411i	0.179159	+	0.225709i
$214$	−0.383920	−	0.204335i	−0.0262442	−	0.0139680i
$215$	−8.30586	+	1.29976i	−0.566455	+	0.0886431i
$216$	13.5539	+	5.68258i	0.922226	+	0.386650i
$217$	0.577355	−	1.77692i	0.0391934	−	0.120625i
$218$	12.3608	−	1.73206i	0.837177	−	0.117310i
$219$	−15.6805	−	4.36590i	−1.05959	−	0.295020i
$220$	−8.43330	+	1.01266i	−0.568573	+	0.0682738i
$221$	20.1912	−	6.56052i	1.35821	−	0.441309i
$222$	8.64329	−	4.67691i	0.580100	−	0.313893i
$223$	−12.0612	+	16.6009i	−0.807679	+	1.11168i	0.183998	+	0.982927i	$0.441096\pi$
$223$	−12.0612	+	16.6009i	−0.807679	+	1.11168i	−0.991677	+	0.128749i	$0.958904\pi$
$224$	−1.12395	−	1.34502i	−0.0750968	−	0.0898681i
$225$	−7.79941	+	12.8129i	−0.519960	+	0.854190i
$226$	1.78110	+	12.7108i	0.118477	+	0.845509i
$227$	−9.87438	−	7.17416i	−0.655386	−	0.476166i	0.209716	−	0.977762i	$-0.432746\pi$
$227$	−9.87438	−	7.17416i	−0.655386	−	0.476166i	−0.865102	+	0.501597i	$0.832746\pi$
$228$	11.3416	+	15.3864i	0.751115	+	1.01899i
$229$	0.971101	+	2.98874i	0.0641721	+	0.197502i	0.978002	−	0.208596i	$-0.0668893\pi$
$229$	0.971101	+	2.98874i	0.0641721	+	0.197502i	−0.913830	+	0.406097i	$0.866889\pi$
$230$	16.6864	−	11.6279i	1.10027	−	0.766720i
$231$	0.273409	−	0.981970i	0.0179890	−	0.0646089i
$232$	−7.83806	−	17.6626i	−0.514594	−	1.15961i
$233$	8.86597	+	2.88073i	0.580829	+	0.188723i	0.584672	−	0.811270i	$-0.301223\pi$
$233$	8.86597	+	2.88073i	0.580829	+	0.188723i	−0.00384306	+	0.999993i	$0.501223\pi$
$234$	−13.0943	+	14.9887i	−0.855999	+	0.979840i
$235$	14.1620	−	7.18290i	0.923826	−	0.468561i
$236$	25.6797	+	9.37036i	1.67161	+	0.609958i
$237$	2.58428	−	2.05131i	0.167867	−	0.133247i
$238$	1.42711	−	1.37702i	0.0925061	−	0.0892593i
$239$	−18.5823	−	13.5009i	−1.20199	−	0.873298i	−0.207512	−	0.978232i	$-0.566537\pi$
$239$	−18.5823	−	13.5009i	−1.20199	−	0.873298i	−0.994479	+	0.104935i	$0.966537\pi$
$240$	15.3684	−	1.95287i	0.992023	−	0.126057i
$241$	−6.49962	+	4.72225i	−0.418677	+	0.304187i	−0.777105	−	0.629371i	$-0.783313\pi$
$241$	−6.49962	+	4.72225i	−0.418677	+	0.304187i	0.358428	+	0.933557i	$0.383313\pi$
$242$	1.81966	−	10.2953i	0.116972	−	0.661806i
$243$	−3.29591	−	15.2360i	−0.211433	−	0.977393i
$244$	0.676985	−	18.9437i	0.0433395	−	1.21275i
$245$	−2.38677	−	15.2522i	−0.152485	−	0.974425i
$246$	−1.78902	−	3.30625i	−0.114064	−	0.210799i
$247$	−24.6185	+	7.99903i	−1.56644	+	0.508966i
$248$	3.56628	−	16.6777i	0.226459	−	1.05904i
$249$	0.189265	+	4.43932i	0.0119942	+	0.281330i
$250$	−0.370175	+	15.8071i	−0.0234119	+	0.999726i
$251$	26.8547			1.69505			0.847527	−	0.530752i	$-0.178091\pi$
$251$	26.8547			1.69505			0.847527	+	0.530752i	$0.178091\pi$
$252$	−0.486323	+	1.79440i	−0.0306355	+	0.113037i
$253$	−3.77474	−	11.6175i	−0.237316	−	0.730383i
$254$	−17.4411	+	8.49781i	−1.09435	+	0.533200i
$255$	3.44504	+	17.1858i	0.215737	+	1.07622i
$256$	−11.4731	−	11.1520i	−0.717072	−	0.696999i
$257$			3.87994i			0.242024i	0.992651	+	0.121012i	$0.0386140\pi$
$257$			3.87994i			0.242024i	−0.992651	+	0.121012i	$0.961386\pi$
$258$	1.21514	−	9.12883i	0.0756513	−	0.568336i
$259$	0.730712	+	1.00574i	0.0454042	+	0.0624936i
$260$	−4.05794	+	20.5832i	−0.251663	+	1.27651i
$261$	−10.5921	+	17.5467i	−0.655637	+	1.08611i
$262$	1.51056	−	1.45754i	0.0933227	−	0.0900472i
$263$	−11.2726	+	8.19005i	−0.695101	+	0.505020i	−0.878333	−	0.478049i	$-0.841344\pi$
$263$	−11.2726	+	8.19005i	−0.695101	+	0.505020i	0.183232	+	0.983070i	$0.441344\pi$
$264$	1.55632	−	9.17350i	0.0957848	−	0.564590i
$265$	−0.767353	−	1.51293i	−0.0471381	−	0.0929387i
$266$	−1.74003	+	1.67896i	−0.106688	+	0.102944i
$267$	4.17935	−	15.0105i	0.255772	−	0.918627i
$268$	−3.68260	−	12.8824i	−0.224951	−	0.786916i
$269$	−13.6533	−	4.43622i	−0.832456	−	0.270481i	−0.138376	−	0.990380i	$-0.544188\pi$
$269$	−13.6533	−	4.43622i	−0.832456	−	0.270481i	−0.694079	+	0.719899i	$0.744188\pi$
$270$	−11.0363	−	12.1737i	−0.671648	−	0.740870i
$271$	1.44312	−	0.468897i	0.0876630	−	0.0284834i	−0.264857	−	0.964288i	$-0.585325\pi$
$271$	1.44312	−	0.468897i	0.0876630	−	0.0284834i	0.352520	+	0.935804i	$0.385325\pi$
$272$	11.6587	−	13.8484i	0.706910	−	0.839680i
$273$	−2.09802	−	1.39174i	−0.126978	−	0.0842321i
$274$	3.56890	+	25.4693i	0.215605	+	1.53866i
$275$	9.02073	+	2.96798i	0.543971	+	0.178976i
$276$	7.03048	+	21.1411i	0.423185	+	1.27254i
$277$	10.4349	+	7.58142i	0.626974	+	0.455523i	0.855350	−	0.518050i	$-0.173342\pi$
$277$	10.4349	+	7.58142i	0.626974	+	0.455523i	−0.228377	+	0.973573i	$0.573342\pi$
$278$	14.1201	−	6.87970i	0.846865	−	0.412617i
$279$	−16.6658	+	7.03391i	−0.997754	+	0.421109i
$280$	0.501388	+	1.89447i	0.0299636	+	0.113217i
$281$	−24.2794	−	7.88884i	−1.44838	−	0.470609i	−0.523884	−	0.851789i	$-0.675518\pi$
$281$	−24.2794	−	7.88884i	−1.44838	−	0.470609i	−0.924501	+	0.381181i	$0.875518\pi$
$282$	3.14549	+	17.1083i	0.187311	+	1.01878i
$283$	−2.52345	−	0.819917i	−0.150003	−	0.0487390i	0.233053	−	0.972464i	$-0.425128\pi$
$283$	−2.52345	−	0.819917i	−0.150003	−	0.0487390i	−0.383056	+	0.923725i	$0.625128\pi$
$284$	−2.99298	+	3.82441i	−0.177601	+	0.226937i
$285$	−4.20043	−	20.9541i	−0.248812	−	1.24121i
$286$	11.1231	+	5.92005i	0.657720	+	0.350060i
$287$	0.384718	−	0.279514i	0.0227092	−	0.0164992i
$288$	−2.72327	+	16.7506i	−0.160470	+	0.987041i
$289$	2.81646	+	2.04628i	0.165674	+	0.120369i
$290$	−0.425837	+	21.6003i	−0.0250060	+	1.26841i
$291$	13.5219	+	17.0352i	0.792670	+	0.998622i
$292$	0.671242	−	18.7830i	0.0392815	−	1.09919i
$293$		−	25.7575i		−	1.50477i	−0.658726	−	0.752383i	$-0.728904\pi$
$293$		−	25.7575i		−	1.50477i	0.658726	−	0.752383i	$-0.271096\pi$
$294$	16.7634	+	2.23138i	0.977661	+	0.130137i
$295$	−21.5709	−	21.6509i	−1.25591	−	1.26056i
$296$	7.58287	+	8.44236i	0.440745	+	0.490702i
$297$	−8.92064	+	4.22130i	−0.517628	+	0.244945i
$298$	−6.87954	+	12.9258i	−0.398521	+	0.748773i
$299$	−30.1710			−1.74484
$300$	−16.4897	−	5.29985i	−0.952036	−	0.305987i
$301$	1.16497			0.0671475
$302$	−12.8292	+	24.1045i	−0.738236	+	1.38706i
$303$	−5.29365	−	14.2029i	−0.304112	−	0.815935i
$304$	−14.2150	+	16.8848i	−0.815287	+	0.968412i
$305$	−9.65647	+	18.8655i	−0.552928	+	1.08023i
$306$	−19.1234	−	1.72045i	−1.09321	−	0.0983516i
$307$			12.4595i			0.711099i	0.934657	+	0.355550i	$0.115706\pi$
$307$			12.4595i			0.711099i	−0.934657	+	0.355550i	$0.884294\pi$
$308$	1.17626	+	0.0420356i	0.0670237	+	0.00239520i
$309$	6.33517	−	5.02863i	0.360395	−	0.286069i
$310$	−11.5097	+	15.2023i	−0.653705	+	0.863432i
$311$	−6.46908	−	4.70006i	−0.366828	−	0.266516i	0.389067	−	0.921210i	$-0.372798\pi$
$311$	−6.46908	−	4.70006i	−0.366828	−	0.266516i	−0.755894	+	0.654694i	$0.772798\pi$
$312$	−20.3611	−	10.6576i	−1.15272	−	0.603366i
$313$	−18.1139	+	13.1605i	−1.02386	+	0.743875i	−0.967070	−	0.254511i	$-0.918085\pi$
$313$	−18.1139	+	13.1605i	−1.02386	+	0.743875i	−0.0567864	+	0.998386i	$0.518085\pi$
$314$	6.29113	+	3.34834i	0.355029	+	0.188958i
$315$	1.34228	−	1.58706i	0.0756292	−	0.0894205i
$316$	3.00031	+	2.34804i	0.168781	+	0.132088i
$317$	−16.3147	−	5.30095i	−0.916323	−	0.297731i	−0.187365	−	0.982290i	$-0.559995\pi$
$317$	−16.3147	−	5.30095i	−0.916323	−	0.297731i	−0.728957	+	0.684559i	$0.759995\pi$
$318$	1.82769	−	0.336034i	0.102492	−	0.0188439i
$319$	12.3408	+	4.00976i	0.690950	+	0.224503i
$320$	6.33888	+	16.7278i	0.354354	+	0.935111i
$321$	−0.499113	+	0.186028i	−0.0278578	+	0.0103831i
$322$	−2.53358	+	1.23443i	−0.141191	+	0.0687922i
$323$	−20.2029	−	14.6783i	−1.12412	−	0.816722i
$324$	16.2169	−	7.81106i	0.900938	−	0.433948i
$325$	13.8570	−	18.9248i	0.768650	−	1.04976i
$326$	2.06497	+	14.7366i	0.114368	+	0.816185i
$327$	8.45036	−	12.7387i	0.467306	−	0.704452i
$328$	3.22939	−	2.90062i	0.178313	−	0.160160i
$329$	−2.09274	+	0.679973i	−0.115377	+	0.0374881i
$330$	−5.92035	+	8.55386i	−0.325905	+	0.470874i
$331$	−33.9964	−	11.0461i	−1.86861	−	0.607149i	−0.992047	−	0.125867i	$-0.959829\pi$
$331$	−33.9964	−	11.0461i	−1.86861	−	0.607149i	−0.876566	−	0.481282i	$-0.840171\pi$
$332$	−4.93314	+	1.41020i	−0.270741	+	0.0773950i
$333$	2.73159	−	11.7221i	0.149690	−	0.642369i
$334$	5.10472	−	4.92555i	0.279318	−	0.269514i
$335$	−2.37075	+	14.7911i	−0.129528	+	0.808123i
$336$	−2.14585	−	0.0618923i	−0.117066	−	0.00337650i
$337$	−3.49101	+	2.53637i	−0.190167	+	0.138165i	−0.678795	−	0.734328i	$-0.737498\pi$
$337$	−3.49101	+	2.53637i	−0.190167	+	0.138165i	0.488628	+	0.872492i	$0.337498\pi$
$338$	9.16608	−	8.84436i	0.498569	−	0.481070i
$339$	13.0994	+	8.68964i	0.711463	+	0.471957i
$340$	−18.3657	+	8.50454i	−0.996021	+	0.461223i
$341$	6.73149	+	9.26510i	0.364531	+	0.501733i
$342$	23.3165	+	2.09769i	1.26081	+	0.113430i
$343$			4.30823i			0.232623i
$344$	10.5771	−	1.09863i	0.570281	−	0.0592343i
$345$	2.89097	−	24.7408i	0.155645	−	1.33200i
$346$	15.7526	−	7.67510i	0.846864	−	0.412616i
$347$	−4.70767	−	14.4887i	−0.252721	−	0.777795i	−0.994270	−	0.106896i	$-0.965909\pi$
$347$	−4.70767	−	14.4887i	−0.252721	−	0.777795i	0.741549	−	0.670898i	$-0.234091\pi$
$348$	−22.5581	−	7.15819i	−1.20924	−	0.383719i
$349$	6.71463			0.359426			0.179713	−	0.983719i	$-0.442483\pi$
$349$	6.71463			0.359426			0.179713	+	0.983719i	$0.442483\pi$
$350$	0.389329	−	2.15614i	0.0208105	−	0.115251i
$351$	3.10734	+	24.1769i	0.165858	+	1.29047i
$352$	10.7193	−	0.727629i	0.571343	−	0.0387828i
$353$	−12.7469	+	4.14173i	−0.678451	+	0.220442i	−0.627917	−	0.778280i	$-0.716092\pi$
$353$	−12.7469	+	4.14173i	−0.678451	+	0.220442i	−0.0505337	+	0.998722i	$0.516092\pi$
$354$	29.4452	−	15.9329i	1.56500	−	0.846823i
$355$	4.84232	−	2.45601i	0.257004	−	0.130351i
$356$	17.9804	+	0.642560i	0.952961	+	0.0340556i
$357$	−0.103457	−	2.42664i	−0.00547553	−	0.128431i
$358$	−5.31921	+	30.0950i	−0.281129	+	1.59057i
$359$	19.8499	−	14.4218i	1.04764	−	0.761153i	0.0758753	−	0.997117i	$-0.475825\pi$
$359$	19.8499	−	14.4218i	1.04764	−	0.761153i	0.971762	+	0.235965i	$0.0758249\pi$
$360$	10.6904	−	15.6753i	0.563433	−	0.826162i
$361$	9.26145	+	6.72883i	0.487445	+	0.354149i
$362$	22.3451	−	21.5608i	1.17443	−	1.13321i
$363$	−7.96073	−	10.0291i	−0.417830	−	0.526391i
$364$	0.996528	−	2.73101i	0.0522322	−	0.143144i
$365$	−9.57455	+	18.7054i	−0.501155	+	0.979087i
$366$	−16.8174	−	16.0050i	−0.879060	−	0.836593i
$367$	29.8410	+	9.69594i	1.55769	+	0.506124i	0.956190	−	0.292748i	$-0.0945698\pi$
$367$	29.8410	+	9.69594i	1.55769	+	0.506124i	0.601500	+	0.798872i	$0.294570\pi$
$368$	−21.8391	+	13.5972i	−1.13844	+	0.708801i
$369$	−4.48398	−	1.04490i	−0.233427	−	0.0543951i
$370$	−3.68198	−	12.1412i	−0.191417	−	0.631193i
$371$	0.0726419	+	0.223569i	0.00377138	+	0.0116071i
$372$	−12.3936	−	16.8136i	−0.642578	−	0.871745i
$373$	2.56104	+	1.86070i	0.132606	+	0.0963436i	0.652111	−	0.758124i	$-0.273884\pi$
$373$	2.56104	+	1.86070i	0.132606	+	0.0963436i	−0.519505	+	0.854467i	$0.673884\pi$
$374$	1.68686	+	12.0382i	0.0872256	+	0.622483i
$375$	14.1909	+	13.1764i	0.732817	+	0.680426i
$376$	−18.3595	+	8.14730i	−0.946819	+	0.420165i
$377$	18.8382	−	25.9286i	0.970218	−	1.33539i
$378$	1.25012	+	1.90310i	0.0642993	+	0.0978847i
$379$	16.6493	−	5.40969i	0.855217	−	0.277877i	0.151588	−	0.988444i	$-0.451561\pi$
$379$	16.6493	−	5.40969i	0.855217	−	0.277877i	0.703630	+	0.710567i	$0.251561\pi$
$380$	22.3927	−	10.3693i	1.14872	−	0.531934i
$381$	−6.37346	+	22.8908i	−0.326522	+	1.17273i
$382$	−7.38910	+	1.03540i	−0.378059	+	0.0529757i
$383$	6.59223	−	20.2888i	0.336847	−	1.03671i	−0.628958	−	0.777439i	$-0.716518\pi$
$383$	6.59223	−	20.2888i	0.336847	−	1.03671i	0.965805	−	0.259270i	$-0.0834818\pi$
$384$	−19.5413	+	1.46173i	−0.997214	+	0.0745934i
$385$	−1.17140	−	0.599593i	−0.0597002	−	0.0305581i
$386$	3.27023	+	1.74052i	0.166450	+	0.0885903i
$387$	−7.38229	−	8.52760i	−0.375263	−	0.433482i
$388$	−15.4780	+	19.7776i	−0.785774	+	1.00406i
$389$	−4.43623	+	6.10594i	−0.224926	+	0.309583i	−0.906533	−	0.422134i	$-0.861281\pi$
$389$	−4.43623	+	6.10594i	−0.224926	+	0.309583i	0.681608	+	0.731718i	$0.261281\pi$
$390$	15.5747	+	20.4360i	0.788656	+	1.03481i
$391$	−17.1085	−	23.5478i	−0.865213	−	1.19086i
$392$	2.01743	+	19.4229i	0.101896	+	0.981007i
$393$	−0.109506	−	2.56853i	−0.00552387	−	0.129565i
$394$	−31.9783	−	5.65207i	−1.61104	−	0.284747i
$395$	−1.92678	−	3.79888i	−0.0969467	−	0.191142i
$396$	−7.14617	−	8.87666i	−0.359108	−	0.446069i
$397$	−8.37440	−	25.7738i	−0.420299	−	1.29355i	−0.907424	−	0.420216i	$-0.861954\pi$
$397$	−8.37440	−	25.7738i	−0.420299	−	1.29355i	0.487125	−	0.873332i	$-0.338046\pi$
$398$	4.40124	−	8.26939i	0.220614	−	0.414507i
$399$	0.126142	+	2.95872i	0.00631498	+	0.148121i
$400$	1.50149	−	19.9436i	0.0750744	−	0.997178i
$401$		−	15.4298i		−	0.770526i	−0.922807	−	0.385263i	$-0.874111\pi$
$401$		−	15.4298i		−	0.770526i	0.922807	−	0.385263i	$-0.125889\pi$
$402$	−14.8009	−	7.08574i	−0.738204	−	0.353404i
$403$	26.9020	−	8.74099i	1.34008	−	0.435420i
$404$	14.5179	−	9.77527i	0.722294	−	0.486338i
$405$	−20.1233	+	0.231460i	−0.999934	+	0.0115013i
$406$	0.521065	−	2.94808i	0.0258600	−	0.146311i
$407$	−7.62007			−0.377713
$408$	−3.22779	−	21.9348i	−0.159799	−	1.08593i
$409$	−23.6000	+	17.1464i	−1.16694	+	0.847834i	−0.990640	−	0.136502i	$-0.956414\pi$
$409$	−23.6000	+	17.1464i	−1.16694	+	0.847834i	−0.176303	+	0.984336i	$0.556414\pi$
$410$	−4.64430	+	1.40844i	−0.229365	+	0.0695580i
$411$	26.2480	+	17.4119i	1.29472	+	0.858867i
$412$	7.35504	+	5.75605i	0.362357	+	0.283580i
$413$	2.48933	+	3.42626i	0.122492	+	0.168595i
$414$	25.0912	+	10.7234i	1.23316	+	0.527028i
$415$	5.66405	+	0.907848i	0.278037	+	0.0445645i
$416$	6.47232	−	25.7356i	0.317332	−	1.26179i
$417$	5.15985	−	18.5320i	0.252679	−	0.907517i
$418$	−2.05674	−	14.6778i	−0.100598	−	0.717916i
$419$	−8.89913	+	27.3887i	−0.434751	+	1.33803i	0.458591	+	0.888648i	$0.348354\pi$
$419$	−8.89913	+	27.3887i	−0.434751	+	1.33803i	−0.893342	+	0.449378i	$0.851646\pi$
$420$	2.14399	+	1.07886i	0.104616	+	0.0526427i
$421$	7.02569	+	21.6229i	0.342411	+	1.05383i	0.962955	+	0.269662i	$0.0869119\pi$
$421$	7.02569	+	21.6229i	0.342411	+	1.05383i	−0.620544	+	0.784172i	$0.713088\pi$
$422$	21.0048	−	10.2341i	1.02250	−	0.498190i
$423$	18.2390	+	11.0100i	0.886809	+	0.535326i
$424$	0.870380	+	1.96135i	0.0422694	+	0.0952518i
$425$	22.6280	+	0.0837748i	1.09762	+	0.00406367i
$426$	1.07552	+	5.84973i	0.0521090	+	0.283420i
$427$	1.72620	−	2.37591i	0.0835366	−	0.114978i
$428$	−0.343519	−	0.510185i	−0.0166046	−	0.0246607i
$429$	14.4605	−	5.38966i	0.698159	−	0.260215i
$430$	−11.2327	−	3.89613i	−0.541689	−	0.187888i
$431$	−4.98781	+	15.3509i	−0.240255	+	0.739428i	0.756126	+	0.654426i	$0.227090\pi$
$431$	−4.98781	+	15.3509i	−0.240255	+	0.739428i	−0.996381	+	0.0850017i	$0.972910\pi$
$432$	13.1450	+	16.0999i	0.632441	+	0.774609i
$433$	−3.93756	+	12.1186i	−0.189227	+	0.582380i	−0.999996	−	0.00298628i	$-0.999049\pi$
$433$	−3.93756	+	12.1186i	−0.189227	+	0.582380i	0.810769	+	0.585367i	$0.199049\pi$
$434$	1.90143	−	1.83469i	0.0912716	−	0.0880682i
$435$	19.4569	+	17.9322i	0.932886	+	0.859781i
$436$	16.5821	+	6.05070i	0.794139	+	0.289776i
$437$	20.8598	+	28.7110i	0.997859	+	1.37343i
$438$	−16.6747	−	15.8692i	−0.796750	−	0.758260i
$439$	−0.00992669	+	0.0136629i	−0.000473775	+	0.000652095i	−0.809254	−	0.587459i	$-0.800128\pi$
$439$	−0.00992669	+	0.0136629i	−0.000473775	+	0.000652095i	0.808780	+	0.588111i	$0.200128\pi$
$440$	−11.2010	−	4.33922i	−0.533989	−	0.206864i
$441$	15.6593	−	13.5562i	0.745683	−	0.645533i
$442$	29.5659	+	5.22569i	1.40631	+	0.248561i
$443$	−13.3387			−0.633739			−0.316870	−	0.948469i	$-0.602632\pi$
$443$	−13.3387			−0.633739			−0.316870	+	0.948469i	$0.602632\pi$
$444$	13.8979	−	0.0957113i	0.659564	−	0.00454226i
$445$	−17.9062	−	9.16544i	−0.848834	−	0.434484i
$446$	−26.0876	+	12.7106i	−1.23528	+	0.601865i
$447$	6.26319	+	16.8042i	0.296239	+	0.794810i
$448$	−0.509452	−	2.42593i	−0.0240694	−	0.114614i
$449$		−	34.1036i		−	1.60945i	−0.593649	−	0.804724i	$-0.702313\pi$
$449$		−	34.1036i		−	1.60945i	0.593649	−	0.804724i	$-0.297687\pi$
$450$	−18.2502	+	10.8134i	−0.860324	+	0.509748i
$451$			2.91485i			0.137255i
$452$	−6.22204	+	17.0517i	−0.292660	+	0.802043i
$453$	11.6798	+	31.3369i	0.548764	+	1.47234i
$454$	−7.56043	−	15.5172i	−0.354828	−	0.728259i
$455$	−2.30255	+	2.29404i	−0.107945	+	0.107546i
$456$	3.93554	+	26.7443i	0.184298	+	1.25242i
$457$	−31.6417			−1.48014			−0.740069	−	0.672531i	$-0.765207\pi$
$457$	−31.6417			−1.48014			−0.740069	+	0.672531i	$0.765207\pi$
$458$	−0.773516	+	4.37640i	−0.0361440	+	0.204496i
$459$	−17.1075	+	16.1347i	−0.798510	+	0.753104i
$460$	28.5575	−	3.42916i	1.33150	−	0.159885i
$461$	−7.09986	+	9.77212i	−0.330673	+	0.455133i	−0.941688	−	0.336486i	$-0.890762\pi$
$461$	−7.09986	+	9.77212i	−0.330673	+	0.455133i	0.611015	+	0.791619i	$0.290762\pi$
$462$	0.993787	−	1.04423i	0.0462352	−	0.0485821i
$463$	20.5543	+	28.2905i	0.955238	+	1.31477i	0.949161	+	0.314791i	$0.101934\pi$
$463$	20.5543	+	28.2905i	0.955238	+	1.31477i	0.00607669	+	0.999982i	$0.498066\pi$
$464$	1.95071	−	27.2581i	0.0905597	−	1.26542i
$465$	4.59004	+	22.8977i	0.212858	+	1.06186i
$466$	9.15425	+	9.48723i	0.424062	+	0.439488i
$467$	3.83021	−	11.7882i	0.177241	−	0.545492i	−0.822488	−	0.568783i	$-0.807414\pi$
$467$	3.83021	−	11.7882i	0.177241	−	0.545492i	0.999729	+	0.0232909i	$0.00741440\pi$
$468$	−26.3060	+	10.0116i	−1.21600	+	0.462785i
$469$	0.641453	−	1.97419i	0.0296196	−	0.0911596i
$470$	22.4525	+	0.442638i	1.03566	+	0.0204174i
$471$	8.17875	−	3.04836i	0.376857	−	0.140461i
$472$	25.8327	+	28.7607i	1.18904	+	1.32382i
$473$	−4.19723	+	5.77700i	−0.192989	+	0.265627i
$474$	4.58921	−	0.843761i	0.210789	−	0.0387552i
$475$	−27.5896	−	0.102144i	−1.26590	−	0.00468668i
$476$	2.69657	−	0.770852i	0.123597	−	0.0353319i
$477$	1.17621	−	1.94848i	0.0538549	−	0.0892147i
$478$	−14.2278	−	29.2014i	−0.650763	−	1.33564i
$479$	0.322045	+	0.991153i	0.0147146	+	0.0452869i	0.958144	−	0.286286i	$-0.0924207\pi$
$479$	0.322045	+	0.991153i	0.0147146	+	0.0452869i	−0.943430	+	0.331573i	$0.892421\pi$
$480$	20.4835	+	7.77340i	0.934940	+	0.354805i
$481$	−5.81604	+	17.8999i	−0.265189	+	0.816166i
$482$	−11.2518	+	1.57667i	−0.512506	+	0.0718151i
$483$	−0.925837	+	3.32522i	−0.0421271	+	0.151303i
$484$	9.11229	−	11.6436i	0.414195	−	0.529256i
$485$	25.0417	−	12.7010i	1.13708	−	0.576725i
$486$	6.00883	−	21.2107i	0.272566	−	0.962137i
$487$	−15.6093	−	21.4843i	−0.707323	−	0.973547i	−0.999851	−	0.0172900i	$-0.994496\pi$
$487$	−15.6093	−	21.4843i	−0.707323	−	0.973547i	0.292527	−	0.956257i	$-0.405504\pi$
$488$	13.4322	−	23.1996i	0.608045	−	1.05020i
$489$	15.1872	+	10.0746i	0.686788	+	0.455588i
$490$	7.15452	−	20.6268i	0.323208	−	0.931822i
$491$	25.8833	−	18.8053i	1.16810	−	0.848671i	0.177316	−	0.984154i	$-0.443259\pi$
$491$	25.8833	−	18.8053i	1.16810	−	0.848671i	0.990780	+	0.135483i	$0.0432586\pi$
$492$	−0.0366117	−	5.31625i	−0.00165058	−	0.239675i
$493$	30.9189			1.39252
$494$	−36.0487	−	6.37151i	−1.62191	−	0.286668i
$495$	3.03403	+	12.3743i	0.136370	+	0.556183i
$496$	15.5336	−	18.4510i	0.697477	−	0.828475i
$497$	−0.715558	+	0.232499i	−0.0320972	+	0.0104290i
$498$	−2.71339	+	5.66783i	−0.121590	+	0.253982i
$499$			22.0312i			0.986252i	0.869958	+	0.493126i	$0.164146\pi$
$499$			22.0312i			0.986252i	−0.869958	+	0.493126i	$0.835854\pi$
$500$	−10.9650	+	19.4877i	−0.490370	+	0.871515i
$501$	−0.370061	−	8.67997i	−0.0165331	−	0.387792i
$502$	33.5256	+	17.8434i	1.49632	+	0.796389i
$503$	5.57845	+	17.1687i	0.248731	+	0.765514i	0.995000	+	0.0998705i	$0.0318429\pi$
$503$	5.57845	+	17.1687i	0.248731	+	0.765514i	−0.746270	+	0.665644i	$0.768157\pi$
$504$	−1.79940	+	1.91701i	−0.0801518	+	0.0853903i
$505$	−19.3328	+	3.02533i	−0.860296	+	0.134626i
$506$	3.00671	−	17.0114i	0.133665	−	0.756249i
$507$	−0.664484	−	15.5858i	−0.0295108	−	0.692191i
$508$	−27.4199	−	0.979896i	−1.21656	−	0.0434758i
$509$	17.7421	+	24.4200i	0.786406	+	1.08240i	0.994546	+	0.104296i	$0.0332590\pi$
$509$	17.7421	+	24.4200i	0.786406	+	1.08240i	−0.208140	+	0.978099i	$0.566741\pi$
$510$	−7.11815	+	23.7439i	−0.315197	+	1.05140i
$511$	1.71156	−	2.35575i	0.0757147	−	0.104212i
$512$	−6.91330	−	21.5454i	−0.305528	−	0.952183i
$513$	20.8586	−	19.6725i	0.920930	−	0.868563i
$514$	−2.57800	+	4.84374i	−0.113711	+	0.213648i
$515$	−4.72335	−	9.31267i	−0.208136	−	0.410365i
$516$	7.58256	−	10.5891i	0.333804	−	0.466159i
$517$	4.16796	−	12.8277i	0.183307	−	0.564160i
$518$	0.243970	+	1.74109i	0.0107194	+	0.0764989i
$519$	5.75641	−	20.6746i	0.252679	−	0.907516i
$520$	−18.7423	+	22.9999i	−0.821902	+	1.00861i
$521$	2.15432	−	0.699982i	0.0943826	−	0.0306668i	−0.261445	−	0.965218i	$-0.584199\pi$
$521$	2.15432	−	0.699982i	0.0943826	−	0.0306668i	0.355828	+	0.934552i	$0.384199\pi$
$522$	−24.8820	+	14.8675i	−1.08906	+	0.650734i
$523$	2.94584	−	4.05459i	0.128812	−	0.177295i	−0.739739	−	0.672893i	$-0.765051\pi$
$523$	2.94584	−	4.05459i	0.128812	−	0.177295i	0.868552	+	0.495598i	$0.165051\pi$
$524$	2.85424	−	0.815925i	0.124688	−	0.0356438i
$525$	−1.66053	−	2.10795i	−0.0724714	−	0.0919984i
$526$	−19.5146	+	2.73450i	−0.850879	+	0.119230i
$527$	22.0769	+	16.0398i	0.961685	+	0.698705i
$528$	8.03818	−	10.4182i	0.349817	−	0.453393i
$529$	5.67491	+	17.4656i	0.246735	+	0.759373i
$530$	0.0472872	−	2.39862i	0.00205403	−	0.104189i
$531$	9.30576	−	39.9339i	0.403835	−	1.73299i
$532$	−3.28784	+	0.939874i	−0.142546	+	0.0407487i
$533$	6.84712	+	2.22477i	0.296582	+	0.0963653i
$534$	15.1911	−	15.9622i	0.657384	−	0.690754i
$535$	0.106315	+	0.679386i	0.00459641	+	0.0293724i
$536$	3.96220	−	18.5293i	0.171141	−	0.800344i
$537$	23.2707	+	29.3169i	1.00421	+	1.26512i
$538$	−14.0972	−	14.6100i	−0.607775	−	0.629883i
$539$	−10.6084	−	7.70744i	−0.456935	−	0.331983i
$540$	−5.68904	−	22.5308i	−0.244817	−	0.969569i
$541$	2.54633	−	1.85001i	0.109475	−	0.0795383i	−0.531701	−	0.846932i	$-0.678447\pi$
$541$	2.54633	−	1.85001i	0.109475	−	0.0795383i	0.641176	+	0.767394i	$0.278447\pi$
$542$	2.11315	+	0.373493i	0.0907675	+	0.0160429i
$543$	−1.61988	−	37.9952i	−0.0695159	−	1.63053i
$544$	23.7562	−	9.54187i	1.01854	−	0.409104i
$545$	−13.9289	−	13.9806i	−0.596650	−	0.598863i
$546$	−1.69444	−	3.13147i	−0.0725155	−	0.134014i
$547$	19.1348	−	6.21729i	0.818147	−	0.265832i	0.130103	−	0.991501i	$-0.458469\pi$
$547$	19.1348	−	6.21729i	0.818147	−	0.265832i	0.688045	+	0.725668i	$0.258469\pi$
$548$	−12.4674	+	34.1674i	−0.532583	+	1.45956i
$549$	−28.3305	+	2.42008i	−1.20912	+	0.103287i
$550$	9.28949	+	9.69900i	0.396105	+	0.413567i
$551$	−37.6983			−1.60600
$552$	−5.27012	+	31.0640i	−0.224311	+	1.32217i
$553$	0.182399	+	0.561367i	0.00775641	+	0.0238718i
$554$	7.98961	+	16.3981i	0.339446	+	0.696688i
$555$	−14.1210	−	6.48442i	−0.599402	−	0.275248i
$556$	22.1987	+	0.793308i	0.941436	+	0.0336438i
$557$		−	2.68419i		−	0.113733i	−0.998382	−	0.0568664i	$-0.981889\pi$
$557$		−	2.68419i		−	0.113733i	0.998382	−	0.0568664i	$-0.0181109\pi$
$558$	−25.4793	−	2.29226i	−1.07862	−	0.0970391i
$559$	10.3669	+	14.2688i	0.438473	+	0.603507i
$560$	−0.632833	+	2.69822i	−0.0267421	+	0.114020i
$561$	12.4063	+	8.22986i	0.523795	+	0.347465i
$562$	−25.0688	−	25.9807i	−1.05746	−	1.09593i
$563$	−5.37175	+	3.90280i	−0.226392	+	0.164483i	−0.695199	−	0.718817i	$-0.744684\pi$
$563$	−5.37175	+	3.90280i	−0.226392	+	0.164483i	0.468807	+	0.883301i	$0.344684\pi$
$564$	−7.44061	+	23.4481i	−0.313306	+	0.987342i
$565$	14.3765	−	14.3233i	0.604823	−	0.602588i
$566$	−2.60550	−	2.70027i	−0.109517	−	0.113501i
$567$	2.75995	+	0.399433i	0.115907	+	0.0167746i
$568$	−6.27755	+	2.78576i	−0.263400	+	0.116888i
$569$	16.1239	+	5.23898i	0.675950	+	0.219629i	0.626821	−	0.779163i	$-0.284356\pi$
$569$	16.1239	+	5.23898i	0.675950	+	0.219629i	0.0491284	+	0.998792i	$0.484356\pi$
$570$	8.67892	−	28.9501i	0.363520	−	1.21259i
$571$	−10.2552	+	3.33210i	−0.429165	+	0.139444i	−0.515631	−	0.856811i	$-0.672443\pi$
$571$	−10.2552	+	3.33210i	−0.429165	+	0.139444i	0.0864661	+	0.996255i	$0.472443\pi$
$572$	9.95256	+	14.7812i	0.416137	+	0.618035i
$573$	−5.05150	+	7.61502i	−0.211030	+	0.318122i
$574$	0.666004	−	0.0933241i	0.0277985	−	0.00389527i
$575$	−30.5467	−	10.0504i	−1.27388	−	0.419131i
$576$	−14.5296	+	19.1021i	−0.605399	+	0.795922i
$577$	−0.900509	−	0.654258i	−0.0374887	−	0.0272371i	0.568883	−	0.822418i	$-0.307376\pi$
$577$	−0.900509	−	0.654258i	−0.0374887	−	0.0272371i	−0.606372	+	0.795181i	$0.707376\pi$
$578$	2.15646	+	4.42597i	0.0896967	+	0.184096i
$579$	4.25145	−	1.58459i	0.176684	−	0.0658532i
$580$	−14.8838	+	26.6830i	−0.618015	+	1.10795i
$581$	−0.755990	−	0.245636i	−0.0313638	−	0.0101907i
$582$	5.56195	+	30.2514i	0.230550	+	1.25396i
$583$	−1.37038	−	0.445265i	−0.0567555	−	0.0184410i
$584$	13.3182	−	23.0028i	0.551111	−	0.951864i
$585$	31.3836	+	2.31763i	1.29755	+	0.0958220i
$586$	17.1143	−	32.1558i	0.706986	−	1.32834i
$587$	−6.04530	+	4.39217i	−0.249516	+	0.181284i	−0.705512	−	0.708698i	$-0.749283\pi$
$587$	−6.04530	+	4.39217i	−0.249516	+	0.181284i	0.455996	+	0.889982i	$0.349283\pi$
$588$	19.4449	+	13.9240i	0.801894	+	0.574215i
$589$	−26.9176	−	19.5568i	−1.10912	−	0.805824i
$590$	−12.5435	−	41.3617i	−0.516406	−	1.70283i
$591$	−31.1515	+	24.7269i	−1.28140	+	1.01713i
$592$	3.85704	+	15.5779i	0.158523	+	0.640246i
$593$			41.8958i			1.72045i	0.509912	+	0.860226i	$0.329678\pi$
$593$			41.8958i			1.72045i	−0.509912	+	0.860226i	$0.670322\pi$
$594$	−13.9414	−	0.657350i	−0.572022	−	0.0269714i
$595$	−3.09611	−	0.496252i	−0.126928	−	0.0203443i
$596$	−17.1769	+	11.5656i	−0.703594	+	0.473746i
$597$	−4.00692	−	10.7506i	−0.163992	−	0.439992i
$598$	−37.6657	−	20.0469i	−1.54027	−	0.819779i
$599$	30.2844			1.23739			0.618693	−	0.785633i	$-0.287662\pi$
$599$	30.2844			1.23739			0.618693	+	0.785633i	$0.287662\pi$
$600$	−17.0645	−	17.5728i	−0.696653	−	0.717408i
$601$	−5.91631			−0.241331			−0.120666	−	0.992693i	$-0.538503\pi$
$601$	−5.91631			−0.241331			−0.120666	+	0.992693i	$0.538503\pi$
$602$	1.45435	+	0.774051i	0.0592748	+	0.0315480i
$603$	−18.5160	+	7.81481i	−0.754030	+	0.318244i
$604$	−32.0320	+	21.5679i	−1.30336	+	0.877586i
$605$	−14.7427	+	7.47745i	−0.599377	+	0.304001i
$606$	2.82836	−	21.2483i	0.114894	−	0.863153i
$607$		−	6.47572i		−	0.262842i	−0.991327	−	0.131421i	$-0.958046\pi$
$607$		−	6.47572i		−	0.262842i	0.991327	−	0.131421i	$-0.0419539\pi$
$608$	−28.9651	+	11.6341i	−1.17469	+	0.471824i
$609$	−2.27958	−	2.87186i	−0.0923731	−	0.116374i
$610$	−24.5902	+	17.1356i	−0.995628	+	0.693801i
$611$	−26.9516	−	19.5815i	−1.09034	−	0.792182i
$612$	−22.7306	−	14.8542i	−0.918831	−	0.600445i
$613$	14.2311	−	10.3395i	0.574787	−	0.417607i	−0.262054	−	0.965053i	$-0.584400\pi$
$613$	14.2311	−	10.3395i	0.574787	−	0.417607i	0.836841	+	0.547446i	$0.184400\pi$
$614$	−8.27859	+	15.5545i	−0.334097	+	0.627727i
$615$	−2.48044	+	5.40159i	−0.100021	+	0.217813i
$616$	1.44052	+	0.834035i	0.0580402	+	0.0336042i
$617$	−20.9543	−	6.80846i	−0.843587	−	0.274098i	−0.144830	−	0.989457i	$-0.546263\pi$
$617$	−20.9543	−	6.80846i	−0.843587	−	0.274098i	−0.698758	+	0.715358i	$0.746263\pi$
$618$	11.2501	−	2.06842i	0.452545	−	0.0832039i
$619$	−19.7409	−	6.41419i	−0.793452	−	0.257808i	−0.115879	−	0.993263i	$-0.536968\pi$
$619$	−19.7409	−	6.41419i	−0.793452	−	0.257808i	−0.677573	+	0.735455i	$0.736968\pi$
$620$	−24.4698	+	11.3311i	−0.982730	+	0.455069i
$621$	30.2077	−	14.2945i	1.21219	−	0.573618i
$622$	−4.95312	−	10.1659i	−0.198602	−	0.407616i
$623$	2.25509	+	1.63842i	0.0903484	+	0.0656420i
$624$	−18.3376	−	26.8338i	−0.734093	−	1.07421i
$625$	20.3337	−	14.5445i	0.813347	−	0.581779i
$626$	−31.3578	+	4.39403i	−1.25331	+	0.175621i
$627$	−15.1266	−	10.0344i	−0.604098	−	0.400735i
$628$	5.62910	+	8.36017i	0.224626	+	0.333607i
$629$	−17.2685	+	5.61086i	−0.688538	+	0.223720i
$630$	2.73022	−	1.08942i	0.108775	−	0.0434036i
$631$	−30.4448	−	9.89211i	−1.21199	−	0.393799i	−0.367830	−	0.929893i	$-0.619899\pi$
$631$	−30.4448	−	9.89211i	−1.21199	−	0.393799i	−0.844158	+	0.536094i	$0.819899\pi$
$632$	2.18547	+	4.92484i	0.0869334	+	0.195900i
$633$	7.67572	−	27.5680i	0.305082	−	1.09573i
$634$	−16.8451	−	17.4579i	−0.669006	−	0.693341i
$635$	27.3067	+	13.9772i	1.08363	+	0.554667i
$636$	2.50497	+	0.794884i	0.0993285	+	0.0315192i
$637$	−26.2020	+	19.0369i	−1.03816	+	0.754269i
$638$	12.7420	+	13.2055i	0.504462	+	0.522812i
$639$	6.23634	+	3.76459i	0.246706	+	0.148925i
$640$	−3.20114	+	25.0949i	−0.126536	+	0.991962i
$641$	27.9458	+	38.4641i	1.10379	+	1.51924i	0.830258	+	0.557379i	$0.188193\pi$
$641$	27.9458	+	38.4641i	1.10379	+	1.51924i	0.273535	+	0.961862i	$0.411807\pi$
$642$	−0.746701	−	0.0993935i	−0.0294699	−	0.00392275i
$643$			39.1531i			1.54405i	0.635594	+	0.772024i	$0.280755\pi$
$643$			39.1531i			1.54405i	−0.635594	+	0.772024i	$0.719245\pi$
$644$	−3.98314	−	0.142344i	−0.156958	−	0.00560914i
$645$	−12.6940	+	7.13382i	−0.499828	+	0.280894i
$646$	−15.4686	−	31.7482i	−0.608604	−	1.24911i
$647$	−2.07945	−	6.39988i	−0.0817515	−	0.251605i	0.901824	−	0.432104i	$-0.142229\pi$
$647$	−2.07945	−	6.39988i	−0.0817515	−	0.251605i	−0.983575	+	0.180499i	$0.942229\pi$
$648$	25.4352	+	1.02380i	0.999191	+	0.0402186i
$649$	−25.9594			−1.01900
$650$	29.8736	−	14.4187i	1.17174	−	0.565547i
$651$	−0.137842	−	3.23316i	−0.00540246	−	0.126718i
$652$	−7.21369	+	19.7693i	−0.282510	+	0.774226i
$653$	26.7002	−	8.67542i	1.04486	−	0.339495i	0.264210	−	0.964465i	$-0.414889\pi$
$653$	26.7002	−	8.67542i	1.04486	−	0.339495i	0.780649	+	0.624970i	$0.214889\pi$
$654$	19.0136	−	10.2883i	0.743491	−	0.402304i
$655$	−3.27714	−	0.525268i	−0.128048	−	0.0205239i
$656$	5.95888	−	1.47541i	0.232655	−	0.0576049i
$657$	−28.0902	+	2.39955i	−1.09590	+	0.0936154i
$658$	−3.06439	−	0.541623i	−0.119462	−	0.0211146i
$659$	−10.1120	+	7.34678i	−0.393906	+	0.286190i	−0.767054	−	0.641582i	$-0.778278\pi$
$659$	−10.1120	+	7.34678i	−0.393906	+	0.286190i	0.373148	+	0.927772i	$0.378278\pi$
$660$	−13.0745	+	6.74496i	−0.508926	+	0.262547i
$661$	18.2915	+	13.2896i	0.711457	+	0.516904i	0.883644	−	0.468160i	$-0.155083\pi$
$661$	18.2915	+	13.2896i	0.711457	+	0.516904i	−0.172186	+	0.985064i	$0.555083\pi$
$662$	−35.1018	−	36.3787i	−1.36427	−	1.41390i
$663$	28.8015	−	22.8616i	1.11856	−	0.887870i
$664$	−7.09556	−	1.51727i	−0.275361	−	0.0588816i
$665$	3.77498	+	0.605063i	0.146387	+	0.0234633i
$666$	11.1988	−	12.8190i	0.433945	−	0.496726i
$667$	−41.7892	−	13.5781i	−1.61808	−	0.525747i
$668$	9.64550	−	2.75730i	0.373196	−	0.106683i
$669$	−9.53310	+	34.2389i	−0.368571	+	1.32375i
$670$	−12.7875	+	16.8900i	−0.494023	+	0.652519i
$671$	5.56271	+	17.1202i	0.214746	+	0.660920i
$672$	−2.63777	−	1.50306i	−0.101754	−	0.0579818i
$673$	12.8972	+	9.37034i	0.497149	+	0.361200i	0.807927	−	0.589283i	$-0.200590\pi$
$673$	12.8972	+	9.37034i	0.497149	+	0.361200i	−0.310778	+	0.950483i	$0.600590\pi$
$674$	−6.04346	+	0.846843i	−0.232786	+	0.0326192i
$675$	−4.90765	+	25.5130i	−0.188895	+	0.981997i
$676$	17.3195	−	4.95103i	0.666136	−	0.190424i
$677$	23.1821	−	31.9074i	0.890960	−	1.22630i	−0.0823033	−	0.996607i	$-0.526228\pi$
$677$	23.1821	−	31.9074i	0.890960	−	1.22630i	0.973263	−	0.229694i	$-0.0737724\pi$
$678$	10.5796	+	19.5520i	0.406308	+	0.750890i
$679$	−3.70045	+	1.20235i	−0.142010	+	0.0461420i
$680$	−28.5786	−	1.58583i	−1.09594	−	0.0608139i
$681$	−20.3657	−	5.67040i	−0.780416	−	0.217290i
$682$	2.24751	+	16.0393i	0.0860617	+	0.614176i
$683$	−7.28659	+	22.4258i	−0.278814	+	0.858100i	0.709371	+	0.704835i	$0.248979\pi$
$683$	−7.28659	+	22.4258i	−0.278814	+	0.858100i	−0.988185	+	0.153265i	$0.951021\pi$
$684$	27.7147	+	18.1112i	1.05970	+	0.692500i
$685$	28.8069	−	28.7005i	1.10066	−	1.09659i
$686$	−2.86257	+	5.37842i	−0.109293	+	0.205349i
$687$	3.38401	+	4.26325i	0.129108	+	0.162653i
$688$	13.9345	+	5.65635i	0.531249	+	0.215646i
$689$	−2.09190	+	2.87925i	−0.0796950	+	0.109691i
$690$	20.0479	−	28.9657i	0.763212	−	1.10271i
$691$	10.9643	+	15.0910i	0.417100	+	0.574089i	0.964932	−	0.262500i	$-0.0845468\pi$
$691$	10.9643	+	15.0910i	0.417100	+	0.574089i	−0.547832	+	0.836588i	$0.684547\pi$
$692$	24.7653	+	0.885028i	0.941435	+	0.0336437i
$693$	−0.150269	−	1.75911i	−0.00570823	−	0.0668231i
$694$	3.74983	−	21.2158i	0.142341	−	0.805339i
$695$	−22.1070	−	11.3157i	−0.838568	−	0.429229i
$696$	−23.4054	−	23.9248i	−0.887180	−	0.906869i
$697$	2.14628	+	6.60557i	0.0812962	+	0.250204i
$698$	8.38258	+	4.46148i	0.317285	+	0.168870i
$699$	16.1319	−	0.687766i	0.610165	−	0.0260137i
$700$	1.91867	−	2.43306i	0.0725190	−	0.0919608i
$701$		−	22.0139i		−	0.831452i	−0.909490	−	0.415726i	$-0.863528\pi$
$701$		−	22.0139i		−	0.831452i	0.909490	−	0.415726i	$-0.136472\pi$
$702$	−12.1849	+	32.2473i	−0.459891	+	1.21709i
$703$	21.0548	−	6.84113i	0.794098	−	0.258018i
$704$	13.8656	+	6.21400i	0.522578	+	0.234199i
$705$	18.6397	−	20.2245i	0.702010	−	0.761699i
$706$	−18.6653	−	3.29903i	−0.702477	−	0.124161i
$707$	2.71158			0.101979
$708$	47.3461	−	0.326061i	1.77937	−	0.0122541i
$709$	−26.2223	+	19.0516i	−0.984798	+	0.715498i	−0.958776	−	0.284164i	$-0.908284\pi$
$709$	−26.2223	+	19.0516i	−0.984798	+	0.715498i	−0.0260224	+	0.999661i	$0.508284\pi$
$710$	7.67706	+	0.151348i	0.288115	+	0.00568001i
$711$	2.95339	−	4.89251i	0.110761	−	0.183483i
$712$	22.0199	+	12.7491i	0.825232	+	0.477794i
$713$	−22.7947	−	31.3742i	−0.853667	−	1.17497i
$714$	1.48320	−	3.09817i	0.0555075	−	0.115946i
$715$	−3.08020	−	19.6834i	−0.115193	−	0.736117i
$716$	−26.6369	+	34.0365i	−0.995469	+	1.27200i
$717$	−38.3257	−	10.6710i	−1.43130	−	0.398515i
$718$	34.3632	−	4.81515i	1.28242	−	0.179700i
$719$	11.1789	−	34.4052i	0.416903	−	1.28310i	−0.493634	−	0.869669i	$-0.664332\pi$
$719$	11.1789	−	34.4052i	0.416903	−	1.28310i	0.910538	−	0.413426i	$-0.135668\pi$
$720$	23.7613	−	12.4660i	0.885531	−	0.464581i
$721$	0.447138	+	1.37615i	0.0166523	+	0.0512505i
$722$	7.09112	+	14.5540i	0.263904	+	0.541644i
$723$	−7.69223	+	11.5958i	−0.286077	+	0.431254i
$724$	42.2217	−	12.0697i	1.56916	−	0.448565i
$725$	27.7099	−	19.9761i	1.02912	−	0.741895i
$726$	−3.27447	−	17.8098i	−0.121527	−	0.660984i
$727$	−9.73296	+	13.3963i	−0.360976	+	0.496840i	−0.950420	−	0.310969i	$-0.899347\pi$
$727$	−9.73296	+	13.3963i	−0.360976	+	0.496840i	0.589445	+	0.807809i	$0.299347\pi$
$728$	3.05867	−	2.74728i	0.113362	−	0.101821i
$729$	−14.5657	−	22.7341i	−0.539470	−	0.842005i
$730$	−24.3816	+	16.9902i	−0.902404	+	0.628837i
$731$	−5.25793	+	16.1822i	−0.194472	+	0.598522i
$732$	−10.3606	−	31.1549i	−0.382938	−	1.15152i
$733$	−2.17150	+	6.68320i	−0.0802063	+	0.246850i	−0.983117	−	0.182979i	$-0.941426\pi$
$733$	−2.17150	+	6.68320i	−0.0802063	+	0.246850i	0.902911	+	0.429829i	$0.141426\pi$
$734$	30.8113	+	31.9321i	1.13727	+	1.17864i
$735$	−13.0999	−	23.3102i	−0.483199	−	0.859811i
$736$	−36.2986	+	2.46395i	−1.33798	+	0.0908224i
$737$	7.47882	+	10.2937i	0.275486	+	0.379174i
$738$	−4.90355	−	4.28380i	−0.180502	−	0.157689i
$739$	13.1867	−	18.1499i	0.485081	−	0.667656i	−0.494391	−	0.869240i	$-0.664609\pi$
$739$	13.1867	−	18.1499i	0.485081	−	0.667656i	0.979471	+	0.201584i	$0.0646088\pi$
$740$	3.47053	−	17.6037i	0.127579	−	0.647123i
$741$	−35.1167	+	27.8743i	−1.29004	+	1.02399i
$742$	−0.0578618	+	0.327371i	−0.00212417	+	0.0120182i
$743$	45.8197			1.68096			0.840480	−	0.541842i	$-0.182273\pi$
$743$	45.8197			1.68096			0.840480	+	0.541842i	$0.182273\pi$
$744$	−4.30058	−	29.2250i	−0.157667	−	1.07144i
$745$	22.8736	−	3.57943i	0.838023	−	0.131140i
$746$	1.96089	+	4.02457i	0.0717932	+	0.147350i
$747$	2.99258	+	7.09046i	0.109493	+	0.259426i
$748$	−5.89282	+	16.1494i	−0.215463	+	0.590482i
$749$		−	0.0952894i		−	0.00348180i
$750$	8.96111	+	25.8785i	0.327214	+	0.944950i
$751$		−	12.7397i		−	0.464880i	−0.972611	−	0.232440i	$-0.925329\pi$
$751$		−	12.7397i		−	0.464880i	0.972611	−	0.232440i	$-0.0746709\pi$
$752$	−28.3335	−	2.02768i	−1.03322	−	0.0739418i
$753$	43.5848	−	16.2448i	1.58832	−	0.591992i
$754$	40.7458	−	19.8525i	1.48387	−	0.722986i
$755$	42.6553	−	6.67502i	1.55239	−	0.242929i
$756$	0.296163	+	3.20647i	0.0107713	+	0.116618i
$757$	8.77358			0.318881			0.159441	−	0.987208i	$-0.449031\pi$
$757$	8.77358			0.318881			0.159441	+	0.987208i	$0.449031\pi$
$758$	24.3795	+	4.30901i	0.885504	+	0.156510i
$759$	−13.1539	−	16.5716i	−0.477456	−	0.601509i
$760$	34.8450	+	1.93355i	1.26396	+	0.0701373i
$761$	−19.8575	+	27.3316i	−0.719836	+	0.990769i	0.279694	+	0.960089i	$0.409767\pi$
$761$	−19.8575	+	27.3316i	−0.719836	+	0.990769i	−0.999529	+	0.0306793i	$0.990233\pi$
$762$	−23.1663	+	24.3422i	−0.839225	+	0.881825i
$763$	1.60743	+	2.21243i	0.0581928	+	0.0800955i
$764$	−9.91255	−	3.61702i	−0.358624	−	0.130859i
$765$	15.9872	+	25.8083i	0.578018	+	0.933103i
$766$	21.7105	−	20.9485i	0.784432	−	0.756900i
$767$	−19.8136	+	60.9799i	−0.715427	+	2.20186i
$768$	−25.3667	−	11.1592i	−0.915343	−	0.402675i
$769$	−5.09067	+	15.6675i	−0.183574	+	0.564984i	−0.999921	−	0.0125785i	$-0.995996\pi$
$769$	−5.09067	+	15.6675i	−0.183574	+	0.564984i	0.816346	+	0.577563i	$0.195996\pi$
$770$	−1.06399	−	1.52686i	−0.0383436	−	0.0550244i
$771$	2.34703	+	6.29709i	0.0845262	+	0.226784i
$772$	2.92610	+	4.34576i	0.105313	+	0.156407i
$773$	−8.59165	+	11.8254i	−0.309020	+	0.425330i	−0.935075	−	0.354449i	$-0.884668\pi$
$773$	−8.59165	+	11.8254i	−0.309020	+	0.425330i	0.626055	+	0.779779i	$0.284668\pi$
$774$	−3.55000	−	15.5510i	−0.127602	−	0.558969i
$775$	30.1487	+	0.111618i	1.08297	+	0.00400945i
$776$	−32.4639	+	14.4063i	−1.16538	+	0.517157i
$777$	1.79432	+	1.19028i	0.0643708	+	0.0427011i
$778$	−9.59525	+	4.67508i	−0.344006	+	0.167610i
$779$	−2.61689	−	8.05395i	−0.0937597	−	0.288563i
$780$	5.86506	+	35.8608i	0.210003	+	1.28402i
$781$	1.42512	−	4.38608i	0.0509950	−	0.156946i
$782$	−5.71218	−	40.7648i	−0.204267	−	1.45775i
$783$	−6.57665	+	34.8853i	−0.235030	+	1.24670i
$784$	−10.3868	+	25.5882i	−0.370958	+	0.913863i
$785$	−1.74214	−	11.1328i	−0.0621797	−	0.397346i
$786$	1.56993	−	3.27933i	0.0559975	−	0.116970i
$787$	21.4329	+	29.4999i	0.764002	+	1.05156i	0.996871	+	0.0790499i	$0.0251887\pi$
$787$	21.4329	+	29.4999i	0.764002	+	1.05156i	−0.232869	+	0.972508i	$0.574811\pi$
$788$	−36.1664	−	28.3038i	−1.28838	−	1.00828i
$789$	−13.3411	+	20.1113i	−0.474954	+	0.715982i
$790$	0.118735	−	6.02278i	0.00422442	−	0.214281i
$791$	−2.27508	+	1.65294i	−0.0808926	+	0.0587719i
$792$	−3.02329	−	15.8299i	−0.107428	−	0.562491i
$793$	44.4621			1.57889
$794$	6.67051	−	37.7404i	0.236727	−	1.33936i
$795$	−2.16060	−	1.99128i	−0.0766284	−	0.0706236i
$796$	10.9891	−	7.39919i	0.389497	−	0.262257i
$797$	−36.5460	+	11.8745i	−1.29452	+	0.420617i	−0.873673	−	0.486513i	$-0.838269\pi$
$797$	−36.5460	+	11.8745i	−1.29452	+	0.420617i	−0.420852	+	0.907130i	$0.638269\pi$
$798$	−1.80842	+	3.77750i	−0.0640174	+	0.133722i
$799$		−	32.1387i		−	1.13699i
$800$	15.1258	−	23.9000i	0.534778	−	0.844993i
$801$	−2.29702	−	26.8899i	−0.0811612	−	0.950109i
$802$	10.2522	−	19.2626i	0.362017	−	0.680187i
$803$	5.51552	+	16.9750i	0.194638	+	0.599035i
$804$	−13.7695	−	18.6802i	−0.485614	−	0.658801i
$805$	3.96669	+	2.03039i	0.139807	+	0.0715618i
$806$	39.3925	+	6.96251i	1.38754	+	0.245244i
$807$	−24.8426	+	1.05914i	−0.874501	+	0.0372834i
$808$	24.6194	−	2.55718i	0.866107	−	0.0899613i
$809$	7.99200	+	11.0000i	0.280984	+	0.386741i	0.926059	−	0.377378i	$-0.123174\pi$
$809$	7.99200	+	11.0000i	0.280984	+	0.386741i	−0.645076	+	0.764119i	$0.723174\pi$
$810$	−25.2758	−	13.0818i	−0.888102	−	0.459647i
$811$	−8.66202	+	11.9222i	−0.304164	+	0.418647i	−0.933550	−	0.358446i	$-0.883307\pi$
$811$	−8.66202	+	11.9222i	−0.304164	+	0.418647i	0.629386	+	0.777093i	$0.283307\pi$
$812$	2.60933	−	3.33418i	0.0915694	−	0.117007i
$813$	2.05851	−	1.63397i	0.0721952	−	0.0573059i
$814$	−9.51294	−	5.06309i	−0.333429	−	0.177461i
$815$	16.6678	−	16.6062i	0.583846	−	0.581689i
$816$	10.5448	−	29.5282i	0.369141	−	1.03369i
$817$	6.41082	−	19.7305i	0.224286	−	0.690282i
$818$	−40.8551	+	5.72484i	−1.42846	+	0.200164i
$819$	−4.24693	−	0.989657i	−0.148400	−	0.0345814i
$820$	−6.73379	−	1.32756i	−0.235154	−	0.0463603i
$821$	−10.5257	+	3.41999i	−0.367348	+	0.119359i	−0.486873	−	0.873473i	$-0.661863\pi$
$821$	−10.5257	+	3.41999i	−0.367348	+	0.119359i	0.119525	+	0.992831i	$0.461863\pi$
$822$	21.1990	+	39.1774i	0.739400	+	1.36647i
$823$	−5.33155	+	7.33825i	−0.185846	+	0.255795i	−0.891766	−	0.452496i	$-0.850534\pi$
$823$	−5.33155	+	7.33825i	−0.185846	+	0.255795i	0.705920	+	0.708291i	$0.250534\pi$
$824$	5.35752	+	12.0729i	0.186638	+	0.420579i
$825$	16.4359	−	0.639775i	0.572224	−	0.0222741i
$826$	0.831137	+	5.93138i	0.0289190	+	0.206379i
$827$	26.1938	+	19.0309i	0.910848	+	0.661770i	0.941229	−	0.337769i	$-0.109672\pi$
$827$	26.1938	+	19.0309i	0.910848	+	0.661770i	−0.0303815	+	0.999538i	$0.509672\pi$
$828$	24.1989	+	30.0588i	0.840969	+	1.04462i
$829$	3.91174	+	12.0391i	0.135860	+	0.418135i	0.995723	−	0.0923906i	$-0.0294509\pi$
$829$	3.91174	+	12.0391i	0.135860	+	0.418135i	−0.859863	+	0.510526i	$0.829451\pi$
$830$	6.46782	+	4.89679i	0.224501	+	0.169970i
$831$	21.5218	+	5.99230i	0.746584	+	0.207870i
$832$	25.1799	−	27.8280i	0.872956	−	0.964763i
$833$	−29.7157	−	9.65521i	−1.02959	−	0.334533i
$834$	18.7550	−	19.7071i	0.649434	−	0.682400i
$835$	−11.0746	−	1.77507i	−0.383253	−	0.0614288i
$836$	7.18492	−	19.6905i	0.248496	−	0.681009i
$837$	−22.7934	+	21.4973i	−0.787855	+	0.743055i
$838$	−29.3079	+	28.2793i	−1.01243	+	0.976891i
$839$	14.5164	+	10.5468i	0.501162	+	0.364115i	0.809461	−	0.587174i	$-0.199760\pi$
$839$	14.5164	+	10.5468i	0.501162	+	0.364115i	−0.308299	+	0.951290i	$0.599760\pi$
$840$	1.95974	+	2.77141i	0.0676174	+	0.0956227i
$841$	14.2998	−	10.3894i	0.493095	−	0.358255i
$842$	−5.59621	+	31.6623i	−0.192858	+	1.09115i
$843$	−44.1771	+	1.88344i	−1.52154	+	0.0648692i
$844$	33.0225	+	1.18011i	1.13668	+	0.0406212i
$845$	−19.8857	−	3.18733i	−0.684088	−	0.109647i
$846$	15.4541	+	25.8637i	0.531323	+	0.889213i
$847$	2.17856	−	0.707856i	0.0748561	−	0.0243222i
$848$	−0.216618	+	3.02688i	−0.00743869	+	0.103944i
$849$	−4.59149	+	0.195753i	−0.157580	+	0.00671823i
$850$	28.1933	+	15.1396i	0.967021	+	0.519283i
$851$	25.8037			0.884538
$852$	−2.54412	+	8.01745i	−0.0871602	+	0.274673i
$853$	−10.0268	−	30.8594i	−0.343312	−	1.05661i	−0.962481	−	0.271349i	$-0.912530\pi$
$853$	−10.0268	−	30.8594i	−0.343312	−	1.05661i	0.619169	−	0.785258i	$-0.287470\pi$
$854$	3.73365	−	1.81914i	0.127763	−	0.0622497i
$855$	−19.4926	−	31.4672i	−0.666634	−	1.07616i
$856$	−0.0898636	−	0.865166i	−0.00307148	−	0.0295708i
$857$		−	43.8230i		−	1.49696i	−0.663155	−	0.748482i	$-0.730783\pi$
$857$		−	43.8230i		−	1.49696i	0.663155	−	0.748482i	$-0.269217\pi$
$858$	21.6337	+	2.87966i	0.738561	+	0.0983100i
$859$	−8.76835	−	12.0686i	−0.299172	−	0.411775i	0.632794	−	0.774320i	$-0.281908\pi$
$859$	−8.76835	−	12.0686i	−0.299172	−	0.411775i	−0.931966	+	0.362545i	$0.881908\pi$
$860$	−11.4342	−	12.3274i	−0.389904	−	0.420362i
$861$	0.455309	−	0.686367i	0.0155169	−	0.0233913i
$862$	−16.4266	+	15.8501i	−0.559492	+	0.539855i
$863$	23.2931	−	16.9234i	0.792905	−	0.576079i	−0.115919	−	0.993259i	$-0.536981\pi$
$863$	23.2931	−	16.9234i	0.792905	−	0.576079i	0.908824	+	0.417180i	$0.136981\pi$
$864$	5.71286	+	28.8334i	0.194355	+	0.980931i
$865$	−24.6630	−	12.6240i	−0.838567	−	0.429228i
$866$	−12.9677	+	12.5126i	−0.440662	+	0.425195i
$867$	5.80890	+	1.61737i	0.197281	+	0.0549286i
$868$	3.59281	−	1.02705i	0.121948	−	0.0348605i
$869$	−3.44095	−	1.11803i	−0.116726	−	0.0379267i
$870$	12.3752	+	35.3146i	0.419558	+	1.19728i
$871$	29.8887	−	9.71141i	1.01274	−	0.329059i
$872$	16.6809	+	18.5716i	0.564885	+	0.628913i
$873$	32.2507	+	19.4683i	1.09152	+	0.658902i
$874$	6.96467	+	49.7031i	0.235583	+	1.68123i
$875$	−3.09539	+	1.55559i	−0.104643	+	0.0525886i
$876$	−10.2727	−	30.8906i	−0.347082	−	1.04370i
$877$	−32.0411	−	23.2792i	−1.08195	−	0.786084i	−0.103930	−	0.994585i	$-0.533142\pi$
$877$	−32.0411	−	23.2792i	−1.08195	−	0.786084i	−0.978022	+	0.208500i	$0.933142\pi$
$878$	−0.0214707	+	0.0104612i	−0.000724603	+	0.000353047i
$879$	−15.5810	−	41.8040i	−0.525535	−	1.41001i
$880$	−11.1003	−	12.8595i	−0.374190	−	0.433495i
$881$	−24.6902	−	8.02233i	−0.831834	−	0.270279i	−0.138016	−	0.990430i	$-0.544073\pi$
$881$	−24.6902	−	8.02233i	−0.831834	−	0.270279i	−0.693818	+	0.720151i	$0.744073\pi$
$882$	28.5565	−	6.51891i	0.961548	−	0.219503i
$883$	−13.9447	−	4.53091i	−0.469277	−	0.152477i	0.0648264	−	0.997897i	$-0.479351\pi$
$883$	−13.9447	−	4.53091i	−0.469277	−	0.152477i	−0.534103	+	0.845419i	$0.679351\pi$
$884$	33.4381	+	26.1686i	1.12465	+	0.880146i
$885$	−48.1061	−	22.0906i	−1.61707	−	0.742566i
$886$	−16.6521	−	8.86277i	−0.559437	−	0.297751i
$887$	−9.03957	+	6.56763i	−0.303519	+	0.220519i	−0.729111	−	0.684396i	$-0.760066\pi$
$887$	−9.03957	+	6.56763i	−0.303519	+	0.220519i	0.425592	+	0.904915i	$0.360066\pi$
$888$	17.4138	+	9.11484i	0.584368	+	0.305874i
$889$	−3.43899	−	2.49857i	−0.115340	−	0.0837994i
$890$	−16.2643	−	23.3398i	−0.545179	−	0.782352i
$891$	−11.9245	+	12.2473i	−0.399487	+	0.410301i
$892$	−41.0134	−	1.46568i	−1.37323	−	0.0490746i
$893$			39.1857i			1.31130i
$894$	−3.34638	+	25.1399i	−0.111920	+	0.840806i
$895$	43.0957	−	21.8580i	1.44053	−	0.730632i
$896$	0.975886	−	3.36705i	0.0326021	−	0.112485i
$897$	−48.9671	+	18.2509i	−1.63497	+	0.609379i
$898$	22.6599	−	42.5751i	0.756169	−	1.42075i
$899$	41.1951			1.37393
$900$	−29.9686	+	1.37329i	−0.998952	+	0.0457765i
$901$	−3.43340			−0.114383
$902$	−1.93675	+	3.63891i	−0.0644866	+	0.121163i
$903$	1.89072	−	0.704703i	0.0629192	−	0.0234511i
$904$	−19.0975	+	17.1532i	−0.635172	+	0.570508i
$905$	−48.4774	−	7.77009i	−1.61144	−	0.258286i
$906$	−6.24043	+	46.8817i	−0.207324	+	1.55754i
$907$			17.1714i			0.570166i	0.958503	+	0.285083i	$0.0920212\pi$
$907$			17.1714i			0.570166i	−0.958503	+	0.285083i	$0.907979\pi$
$908$	0.871804	−	24.3952i	0.0289318	−	0.809585i
$909$	−17.1830	−	19.8489i	−0.569925	−	0.658345i
$910$	−4.39877	+	1.33398i	−0.145818	+	0.0442211i
$911$	−17.8851	−	12.9943i	−0.592561	−	0.430521i	0.250670	−	0.968073i	$-0.419349\pi$
$911$	−17.8851	−	12.9943i	−0.592561	−	0.430521i	−0.843231	+	0.537552i	$0.819349\pi$
$912$	−12.8569	+	36.0027i	−0.425734	+	1.19217i
$913$	3.94184	−	2.86392i	0.130456	−	0.0947818i
$914$	−39.5017	−	21.0241i	−1.30660	−	0.695415i
$915$	−4.26032	+	36.4597i	−0.140842	+	1.20532i
$916$	−3.87353	+	4.94957i	−0.127985	+	0.163538i
$917$	0.437405	+	0.142122i	0.0144444	+	0.00469327i
$918$	−32.0777	+	8.77573i	−1.05872	+	0.289642i
$919$	38.5896	+	12.5385i	1.27295	+	0.413608i	0.866093	−	0.499882i	$-0.166623\pi$
$919$	38.5896	+	12.5385i	1.27295	+	0.413608i	0.406861	+	0.913490i	$0.366623\pi$
$920$	37.9298	+	14.6938i	1.25051	+	0.484440i
$921$	7.53690	+	20.2215i	0.248349	+	0.666322i
$922$	−15.3565	+	7.48213i	−0.505740	+	0.246411i
$923$	−9.21539	−	6.69537i	−0.303328	−	0.220381i
$924$	1.93448	−	0.643313i	0.0636398	−	0.0211634i
$925$	−11.8512	+	16.1854i	−0.389664	+	0.532172i
$926$	6.86266	+	48.9752i	0.225521	+	1.60942i
$927$	7.24000	−	11.9936i	0.237793	−	0.393922i
$928$	20.5467	−	32.7330i	0.674478	−	1.07451i
$929$	42.0578	−	13.6654i	1.37987	−	0.448347i	0.477243	−	0.878771i	$-0.341636\pi$
$929$	42.0578	−	13.6654i	1.37987	−	0.448347i	0.902627	+	0.430424i	$0.141636\pi$
$930$	−9.48395	+	31.6354i	−0.310991	+	1.03737i
$931$	36.2313	+	11.7723i	1.18743	+	0.385821i
$932$	5.12450	+	17.9264i	0.167859	+	0.587198i
$933$	−13.3423	−	3.71489i	−0.436809	−	0.121620i
$934$	12.6142	−	12.1715i	0.412750	−	0.398263i
$935$	13.6158	−	13.5655i	0.445284	−	0.443638i
$936$	−39.4927	−	4.98034i	−1.29086	−	0.162788i
$937$	22.1347	−	16.0818i	0.723109	−	0.525370i	−0.164267	−	0.986416i	$-0.552526\pi$
$937$	22.1347	−	16.0818i	0.723109	−	0.525370i	0.887376	+	0.461046i	$0.152526\pi$
$938$	2.11253	−	2.03838i	0.0689765	−	0.0665555i
$939$	−21.4376	+	32.3166i	−0.699589	+	1.05461i
$940$	27.7358	+	15.4710i	0.904641	+	0.504608i
$941$	−3.51780	−	4.84184i	−0.114677	−	0.157839i	0.747820	−	0.663902i	$-0.231101\pi$
$941$	−3.51780	−	4.84184i	−0.114677	−	0.157839i	−0.862497	+	0.506062i	$0.831101\pi$
$942$	12.2359	+	1.62872i	0.398666	+	0.0530665i
$943$		−	9.87048i		−	0.321427i
$944$	13.1398	+	53.0693i	0.427665	+	1.72726i
$945$	1.21848	−	3.38774i	0.0396370	−	0.110203i
$946$	−9.07833	+	4.42322i	−0.295162	+	0.143811i
$947$	−14.6379	−	45.0508i	−0.475667	−	1.46395i	−0.845055	−	0.534679i	$-0.820433\pi$
$947$	−14.6379	−	45.0508i	−0.475667	−	1.46395i	0.369388	−	0.929275i	$-0.379567\pi$
$948$	6.28982	+	1.99591i	0.204284	+	0.0648240i
$949$	44.0849			1.43106
$950$	−34.3751	−	18.4592i	−1.11528	−	0.598895i
$951$	−29.6851	+	1.26559i	−0.962604	+	0.0410396i
$952$	3.87860	+	0.829378i	0.125706	+	0.0268803i
$953$	−6.80158	+	2.20997i	−0.220325	+	0.0715879i	−0.417099	−	0.908861i	$-0.636953\pi$
$953$	−6.80158	+	2.20997i	−0.220325	+	0.0715879i	0.196775	+	0.980449i	$0.436953\pi$
$954$	2.76303	−	1.65097i	0.0894566	−	0.0534521i
$955$	8.32652	+	8.35740i	0.269440	+	0.270439i
$956$	1.64062	−	45.9087i	0.0530616	−	1.48479i
$957$	22.4544	−	0.957319i	0.725848	−	0.0309457i
$958$	−0.256520	+	1.45134i	−0.00828780	+	0.0468907i
$959$	−4.55871	+	3.31210i	−0.147208	+	0.106953i
$960$	20.4068	+	23.3145i	0.658626	+	0.752471i
$961$	4.33488	+	3.14947i	0.139835	+	0.101596i
$962$	−19.1542	+	18.4820i	−0.617557	+	0.595882i
$963$	−0.697523	+	0.603841i	−0.0224774	+	0.0194585i
$964$	−15.0944	−	5.50786i	−0.486159	−	0.177396i
$965$	−0.905594	−	5.78701i	−0.0291521	−	0.186290i
$966$	−3.36524	+	3.53606i	−0.108275	+	0.113771i
$967$	4.85611	+	1.57785i	0.156162	+	0.0507401i	0.386055	−	0.922476i	$-0.373838\pi$
$967$	4.85611	+	1.57785i	0.156162	+	0.0507401i	−0.229893	+	0.973216i	$0.573838\pi$
$968$	19.1123	−	8.48139i	0.614294	−	0.272602i
$969$	−41.6682	−	11.6016i	−1.33857	−	0.372698i
$970$	39.7013	+	0.782687i	1.27473	+	0.0251306i
$971$	−8.02856	−	24.7094i	−0.257649	−	0.792961i	−0.993296	−	0.115597i	$-0.963122\pi$
$971$	−8.02856	−	24.7094i	−0.257649	−	0.792961i	0.735647	−	0.677365i	$-0.236878\pi$
$972$	21.5947	−	22.4870i	0.692652	−	0.721272i
$973$	2.78415	+	2.02280i	0.0892557	+	0.0648481i
$974$	−5.21163	−	37.1926i	−0.166991	−	1.19173i
$975$	11.0419	−	39.0970i	0.353623	−	1.25211i
$976$	32.1836	−	20.0377i	1.03017	−	0.641391i
$977$	7.53705	−	10.3739i	0.241131	−	0.331889i	−0.671249	−	0.741232i	$-0.734242\pi$
$977$	7.53705	−	10.3739i	0.241131	−	0.331889i	0.912381	+	0.409343i	$0.134242\pi$
$978$	12.2658	+	22.6682i	0.392217	+	0.724848i
$979$	−16.2497	+	5.27984i	−0.519342	+	0.168745i
$980$	22.6370	−	20.9968i	0.723113	−	0.670719i
$981$	6.00899	−	25.7865i	0.191852	−	0.823298i
$982$	44.8078	−	6.27872i	1.42988	−	0.200362i
$983$	18.4095	−	56.6587i	0.587173	−	1.80713i	−0.00319176	−	0.999995i	$-0.501016\pi$
$983$	18.4095	−	56.6587i	0.587173	−	1.80713i	0.590364	−	0.807137i	$-0.298984\pi$
$984$	3.48663	−	6.66116i	0.111150	−	0.212350i
$985$	23.2258	+	45.7925i	0.740035	+	1.45907i
$986$	38.5993	+	20.5438i	1.22925	+	0.654247i
$987$	−2.98516	+	2.36951i	−0.0950188	+	0.0754224i
$988$	−40.7700	−	31.9065i	−1.29707	−	1.01508i
$989$	14.2130	−	19.5625i	0.451947	−	0.622051i
$990$	−4.43430	+	17.4641i	−0.140931	+	0.555045i
$991$	4.61149	+	6.34717i	0.146489	+	0.201625i	0.875956	−	0.482392i	$-0.160232\pi$
$991$	4.61149	+	6.34717i	0.146489	+	0.201625i	−0.729467	+	0.684016i	$0.760232\pi$
$992$	31.6518	−	12.7132i	1.00495	−	0.403645i
$993$	−61.8576	+	2.63723i	−1.96299	+	0.0836900i
$994$	−1.04779	−	0.185194i	−0.0332339	−	0.00587399i
$995$	−14.6335	+	2.28996i	−0.463914	+	0.0725968i
$996$	−7.15335	+	5.27286i	−0.226663	+	0.167077i
$997$	−6.23739	−	19.1967i	−0.197540	−	0.607966i	−0.999938	−	0.0111757i	$-0.996443\pi$
$997$	−6.23739	−	19.1967i	−0.197540	−	0.607966i	0.802398	−	0.596790i	$-0.203557\pi$
$998$	−14.6384	+	27.5039i	−0.463372	+	0.870620i
$999$	−2.65754	−	20.6772i	−0.0840808	−	0.654198i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.191.48	yes	224
3.2	odd	2	inner	300.2.n.a.191.9	yes	224
4.3	odd	2	inner	300.2.n.a.191.14	yes	224
12.11	even	2	inner	300.2.n.a.191.43	yes	224
25.11	even	5	inner	300.2.n.a.11.43	yes	224
75.11	odd	10	inner	300.2.n.a.11.14	yes	224
100.11	odd	10	inner	300.2.n.a.11.9	✓	224
300.11	even	10	inner	300.2.n.a.11.48	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.9	✓	224	100.11	odd	10	inner
300.2.n.a.11.14	yes	224	75.11	odd	10	inner
300.2.n.a.11.43	yes	224	25.11	even	5	inner
300.2.n.a.11.48	yes	224	300.11	even	10	inner
300.2.n.a.191.9	yes	224	3.2	odd	2	inner
300.2.n.a.191.14	yes	224	4.3	odd	2	inner
300.2.n.a.191.43	yes	224	12.11	even	2	inner
300.2.n.a.191.48	yes	224	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.24841 + 0.664442i) q^{2} +(1.62298 - 0.604914i) q^{3} +(1.11703 + 1.65899i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.42807 + 0.323201i) q^{6} +0.309856i q^{7} +(0.292213 + 2.81329i) q^{8} +(2.26816 - 1.96353i) q^{9} +O(q^{10})\)	\(q+(1.24841 + 0.664442i) q^{2} +(1.62298 - 0.604914i) q^{3} +(1.11703 + 1.65899i) q^{4} +(-0.345709 - 2.20918i) q^{5} +(2.42807 + 0.323201i) q^{6} +0.309856i q^{7} +(0.292213 + 2.81329i) q^{8} +(2.26816 - 1.96353i) q^{9} +(1.03629 - 2.98766i) q^{10} +(-1.53656 - 1.11637i) q^{11} +(2.81647 + 2.01680i) q^{12} +(-3.79520 + 2.75737i) q^{13} +(-0.205881 + 0.386826i) q^{14} +(-1.89744 - 3.37634i) q^{15} +(-1.50447 + 3.70629i) q^{16} +(-4.30413 - 1.39850i) q^{17} +(4.13624 - 0.944224i) q^{18} +(5.24788 + 1.70514i) q^{19} +(3.27883 - 3.04126i) q^{20} +(0.187436 + 0.502891i) q^{21} +(-1.17648 - 2.41464i) q^{22} +(5.20321 + 3.78035i) q^{23} +(2.17606 + 4.38917i) q^{24} +(-4.76097 + 1.52747i) q^{25} +(-6.57006 + 0.920633i) q^{26} +(2.49342 - 4.55882i) q^{27} +(-0.514046 + 0.346120i) q^{28} +(-6.49757 + 2.11119i) q^{29} +(-0.125397 - 5.47579i) q^{30} +(-5.73466 - 1.86330i) q^{31} +(-4.34080 + 3.62732i) q^{32} +(-3.16912 - 0.882374i) q^{33} +(-4.44408 - 4.60574i) q^{34} +(0.684528 - 0.107120i) q^{35} +(5.79108 + 1.56951i) q^{36} +(3.24583 - 2.35823i) q^{37} +(5.41852 + 5.61562i) q^{38} +(-4.49158 + 6.77094i) q^{39} +(6.11405 - 1.61813i) q^{40} +(-0.902077 - 1.24160i) q^{41} +(-0.100146 + 0.752353i) q^{42} -3.75970i q^{43} +(0.135662 - 3.79616i) q^{44} +(-5.12192 - 4.33197i) q^{45} +(3.98389 + 8.17664i) q^{46} +(2.19448 + 6.75392i) q^{47} +(-0.199746 + 6.92532i) q^{48} +6.90399 q^{49} +(-6.95854 - 1.25649i) q^{50} +(-7.83151 + 0.333888i) q^{51} +(-8.81381 - 3.21610i) q^{52} +(0.721525 - 0.234438i) q^{53} +(6.14187 - 4.03453i) q^{54} +(-1.93507 + 3.78048i) q^{55} +(-0.871715 + 0.0905438i) q^{56} +(9.54870 - 0.407098i) q^{57} +(-9.51436 - 1.68164i) q^{58} +(11.0576 - 8.03382i) q^{59} +(3.48180 - 6.91933i) q^{60} +(-7.66779 - 5.57097i) q^{61} +(-5.92112 - 6.13650i) q^{62} +(0.608411 + 0.702802i) q^{63} +(-7.82922 + 1.64416i) q^{64} +(7.40358 + 7.43104i) q^{65} +(-3.37006 - 3.20726i) q^{66} +(-6.37132 - 2.07017i) q^{67} +(-2.48778 - 8.70266i) q^{68} +(10.7315 + 2.98796i) q^{69} +(0.925744 + 0.321100i) q^{70} +(0.750346 + 2.30933i) q^{71} +(6.18677 + 5.80723i) q^{72} +(-7.60274 - 5.52372i) q^{73} +(5.61902 - 0.787367i) q^{74} +(-6.80300 + 5.35903i) q^{75} +(3.03326 + 10.6109i) q^{76} +(0.345915 - 0.476111i) q^{77} +(-10.1062 + 5.46849i) q^{78} +(1.81171 - 0.588659i) q^{79} +(8.70797 + 2.04235i) q^{80} +(1.28909 - 8.90720i) q^{81} +(-0.301186 - 2.14940i) q^{82} +(-0.792743 + 2.43981i) q^{83} +(-0.624917 + 0.872700i) q^{84} +(-1.60156 + 9.99208i) q^{85} +(2.49810 - 4.69363i) q^{86} +(-9.26837 + 7.35689i) q^{87} +(2.69169 - 4.64900i) q^{88} +(5.28769 - 7.27788i) q^{89} +(-3.51590 - 8.81127i) q^{90} +(-0.854388 - 1.17596i) q^{91} +(-0.459388 + 12.8548i) q^{92} +(-10.4344 + 0.444859i) q^{93} +(-1.74798 + 9.88974i) q^{94} +(1.95272 - 12.1830i) q^{95} +(-4.85084 + 8.51289i) q^{96} +(3.88035 + 11.9425i) q^{97} +(8.61898 + 4.58730i) q^{98} +(-5.67719 + 0.484963i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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