LMFDB - Embedded newform 350.2.x.a.33.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.x (of order $60$, degree $16$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$20$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			33.4
Character	$\chi$	$=$	350.33
Dual form			350.2.x.a.297.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.838671 + 0.544639i) q^{2} +(-1.45154 + 0.557194i) q^{3} +(0.406737 - 0.913545i) q^{4} +(-0.456839 + 2.18890i) q^{5} +(0.913894 - 1.25787i) q^{6} +(-0.197500 - 2.63837i) q^{7} +(0.156434 + 0.987688i) q^{8} +(-0.432933 + 0.389814i) q^{9} +(-0.809024 - 2.08458i) q^{10} +(-1.88812 + 2.09696i) q^{11} +(-0.0813724 + 1.55268i) q^{12} +(-1.70761 - 3.35137i) q^{13} +(1.60260 + 2.10516i) q^{14} +(-0.556523 - 3.43183i) q^{15} +(-0.669131 - 0.743145i) q^{16} +(-2.71795 + 2.20095i) q^{17} +(0.150780 - 0.562718i) q^{18} +(7.05535 - 3.14125i) q^{19} +(1.81385 + 1.30765i) q^{20} +(1.75676 + 3.71965i) q^{21} +(0.441418 - 2.78700i) q^{22} +(-4.10832 - 6.32626i) q^{23} +(-0.777405 - 1.34650i) q^{24} +(-4.58260 - 1.99995i) q^{25} +(3.25741 + 1.88066i) q^{26} +(2.52882 - 4.96309i) q^{27} +(-2.49060 - 0.892697i) q^{28} +(-5.39724 - 7.42866i) q^{29} +(2.33585 + 2.57507i) q^{30} +(0.832518 + 0.0875011i) q^{31} +(0.965926 + 0.258819i) q^{32} +(1.57226 - 4.09587i) q^{33} +(1.08074 - 3.32617i) q^{34} +(5.86536 + 0.773004i) q^{35} +(0.180024 + 0.554055i) q^{36} +(-2.88728 - 0.151316i) q^{37} +(-4.20627 + 6.47709i) q^{38} +(4.34602 + 3.91318i) q^{39} +(-2.23342 - 0.108795i) q^{40} +(4.09950 + 1.33201i) q^{41} +(-3.49921 - 2.16276i) q^{42} +(-2.64576 - 2.64576i) q^{43} +(1.14771 + 2.57779i) q^{44} +(-0.655485 - 1.12573i) q^{45} +(6.89106 + 3.06810i) q^{46} +(-6.85880 + 8.46991i) q^{47} +(1.38535 + 0.705869i) q^{48} +(-6.92199 + 1.04215i) q^{49} +(4.93254 - 0.818557i) q^{50} +(2.71885 - 4.70919i) q^{51} +(-3.75617 + 0.196853i) q^{52} +(-1.68364 - 4.38603i) q^{53} +(0.582246 + 5.53970i) q^{54} +(-3.72749 - 5.09088i) q^{55} +(2.57499 - 0.607800i) q^{56} +(-8.49084 + 8.49084i) q^{57} +(8.57244 + 3.29065i) q^{58} +(7.34651 - 1.56155i) q^{59} +(-3.36149 - 0.887441i) q^{60} +(-2.46453 + 11.5947i) q^{61} +(-0.745865 + 0.380037i) q^{62} +(1.11398 + 1.06525i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(8.11593 - 2.20675i) q^{65} +(0.912166 + 4.29140i) q^{66} +(1.28306 + 1.58445i) q^{67} +(0.905179 + 3.37817i) q^{68} +(9.48834 + 6.89368i) q^{69} +(-5.34011 + 2.54621i) q^{70} +(0.613424 - 0.445679i) q^{71} +(-0.452741 - 0.366622i) q^{72} +(0.261948 + 4.99827i) q^{73} +(2.50389 - 1.44562i) q^{74} +(7.76618 + 0.349620i) q^{75} -7.72304i q^{76} +(5.90547 + 4.56740i) q^{77} +(-5.77615 - 0.914852i) q^{78} +(-15.3375 + 1.61204i) q^{79} +(1.93236 - 1.12516i) q^{80} +(-0.722596 + 6.87504i) q^{81} +(-4.16359 + 1.11563i) q^{82} +(8.06647 - 1.27760i) q^{83} +(4.11261 - 0.0919630i) q^{84} +(-3.57600 - 6.95480i) q^{85} +(3.65991 + 0.777938i) q^{86} +(11.9735 + 7.77568i) q^{87} +(-2.36651 - 1.53683i) q^{88} +(-14.3603 - 3.05239i) q^{89} +(1.16285 + 0.587114i) q^{90} +(-8.50490 + 5.16719i) q^{91} +(-7.45033 + 1.18002i) q^{92} +(-1.25719 + 0.336862i) q^{93} +(1.13923 - 10.8390i) q^{94} +(3.65272 + 16.8785i) q^{95} +(-1.54629 + 0.162522i) q^{96} +(1.99762 + 0.316392i) q^{97} +(5.23767 - 4.64401i) q^{98} -1.64386i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) $ 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{3}{20}\right)$

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 $

$2$	−0.838671	+	0.544639i	−0.593030	+	0.385118i
$2$	−0.838671	+	0.544639i	−0.593030	+	0.385118i
$3$	−1.45154	+	0.557194i	−0.838047	+	0.321696i	−0.739266	−	0.673413i	$-0.764827\pi$
$3$	−1.45154	+	0.557194i	−0.838047	+	0.321696i	−0.0987804	+	0.995109i	$0.531494\pi$
$4$	0.406737	−	0.913545i	0.203368	−	0.456773i
$5$	−0.456839	+	2.18890i	−0.204305	+	0.978907i
$5$	−0.456839	+	2.18890i	−0.204305	+	0.978907i
$6$	0.913894	−	1.25787i	0.373096	−	0.513522i
$7$	−0.197500	−	2.63837i	−0.0746479	−	0.997210i
$7$	−0.197500	−	2.63837i	−0.0746479	−	0.997210i
$8$	0.156434	+	0.987688i	0.0553079	+	0.349201i
$9$	−0.432933	+	0.389814i	−0.144311	+	0.129938i
$10$	−0.809024	−	2.08458i	−0.255836	−	0.659203i
$11$	−1.88812	+	2.09696i	−0.569288	+	0.632259i	−0.957196	−	0.289439i	$-0.906531\pi$
$11$	−1.88812	+	2.09696i	−0.569288	+	0.632259i	0.387908	+	0.921698i	$0.373198\pi$
$12$	−0.0813724	+	1.55268i	−0.0234902	+	0.448220i
$13$	−1.70761	−	3.35137i	−0.473605	−	0.929503i	−0.996999	−	0.0774118i	$-0.975334\pi$
$13$	−1.70761	−	3.35137i	−0.473605	−	0.929503i	0.523394	−	0.852091i	$-0.324666\pi$
$14$	1.60260	+	2.10516i	0.428312	+	0.562627i
$15$	−0.556523	−	3.43183i	−0.143694	−	0.886094i
$16$	−0.669131	−	0.743145i	−0.167283	−	0.185786i
$17$	−2.71795	+	2.20095i	−0.659199	+	0.533808i	−0.899517	−	0.436886i	$-0.856081\pi$
$17$	−2.71795	+	2.20095i	−0.659199	+	0.533808i	0.240319	+	0.970694i	$0.422748\pi$
$18$	0.150780	−	0.562718i	0.0355391	−	0.132634i
$19$	7.05535	−	3.14125i	1.61861	−	0.720651i	0.620624	−	0.784108i	$-0.286879\pi$
$19$	7.05535	−	3.14125i	1.61861	−	0.720651i	0.997985	+	0.0634570i	$0.0202126\pi$
$20$	1.81385	+	1.30765i	0.405589	+	0.292400i
$21$	1.75676	+	3.71965i	0.383357	+	0.811695i
$22$	0.441418	−	2.78700i	0.0941107	−	0.594191i
$23$	−4.10832	−	6.32626i	−0.856644	−	1.31912i	−0.946348	−	0.323148i	$-0.895259\pi$
$23$	−4.10832	−	6.32626i	−0.856644	−	1.31912i	0.0897042	−	0.995968i	$-0.471408\pi$
$24$	−0.777405	−	1.34650i	−0.158687	−	0.274854i
$25$	−4.58260	−	1.99995i	−0.916519	−	0.399991i
$26$	3.25741	+	1.88066i	0.638830	+	0.368829i
$27$	2.52882	−	4.96309i	0.486672	−	0.955148i
$28$	−2.49060	−	0.892697i	−0.470679	−	0.168704i
$29$	−5.39724	−	7.42866i	−1.00224	−	1.37947i	−0.923940	−	0.382537i	$-0.875050\pi$
$29$	−5.39724	−	7.42866i	−1.00224	−	1.37947i	−0.0783014	−	0.996930i	$-0.524950\pi$
$30$	2.33585	+	2.57507i	0.426465	+	0.470141i
$31$	0.832518	+	0.0875011i	0.149525	+	0.0157157i	0.178995	−	0.983850i	$-0.442715\pi$
$31$	0.832518	+	0.0875011i	0.149525	+	0.0157157i	−0.0294704	+	0.999566i	$0.509382\pi$
$32$	0.965926	+	0.258819i	0.170753	+	0.0457532i
$33$	1.57226	−	4.09587i	0.273695	−	0.713000i
$34$	1.08074	−	3.32617i	0.185345	−	0.570433i
$35$	5.86536	+	0.773004i	0.991427	+	0.130661i
$36$	0.180024	+	0.554055i	0.0300039	+	0.0923426i
$37$	−2.88728	−	0.151316i	−0.474667	−	0.0248762i	−0.186497	−	0.982456i	$-0.559713\pi$
$37$	−2.88728	−	0.151316i	−0.474667	−	0.0248762i	−0.288170	+	0.957579i	$0.593047\pi$
$38$	−4.20627	+	6.47709i	−0.682347	+	1.05072i
$39$	4.34602	+	3.91318i	0.695921	+	0.626610i
$40$	−2.23342	−	0.108795i	−0.353135	−	0.0172020i
$41$	4.09950	+	1.33201i	0.640234	+	0.208025i	0.611103	−	0.791551i	$-0.290726\pi$
$41$	4.09950	+	1.33201i	0.640234	+	0.208025i	0.0291308	+	0.999576i	$0.490726\pi$
$42$	−3.49921	−	2.16276i	−0.539940	−	0.333721i
$43$	−2.64576	−	2.64576i	−0.403475	−	0.403475i	0.475981	−	0.879456i	$-0.342093\pi$
$43$	−2.64576	−	2.64576i	−0.403475	−	0.403475i	−0.879456	+	0.475981i	$0.842093\pi$
$44$	1.14771	+	2.57779i	0.173023	+	0.388617i
$45$	−0.655485	−	1.12573i	−0.0977139	−	0.167814i
$46$	6.89106	+	3.06810i	1.01603	+	0.452366i
$47$	−6.85880	+	8.46991i	−1.00046	+	1.23546i	−0.0286754	+	0.999589i	$0.509129\pi$
$47$	−6.85880	+	8.46991i	−1.00046	+	1.23546i	−0.971783	+	0.235875i	$0.924204\pi$
$48$	1.38535	+	0.705869i	0.199957	+	0.101883i
$49$	−6.92199	+	1.04215i	−0.988855	+	0.148879i
$50$	4.93254	−	0.818557i	0.697567	−	0.115761i
$51$	2.71885	−	4.70919i	0.380715	−	0.659418i
$52$	−3.75617	+	0.196853i	−0.520888	+	0.0272986i
$53$	−1.68364	−	4.38603i	−0.231266	−	0.602468i	0.768013	−	0.640434i	$-0.221245\pi$
$53$	−1.68364	−	4.38603i	−0.231266	−	0.602468i	−0.999279	+	0.0379662i	$0.987912\pi$
$54$	0.582246	+	5.53970i	0.0792336	+	0.753857i
$55$	−3.72749	−	5.09088i	−0.502614	−	0.686454i
$56$	2.57499	−	0.607800i	0.344098	−	0.0812207i
$57$	−8.49084	+	8.49084i	−1.12464	+	1.12464i
$58$	8.57244	+	3.29065i	1.12562	+	0.432084i
$59$	7.34651	−	1.56155i	0.956434	−	0.203296i	0.296847	−	0.954925i	$-0.404065\pi$
$59$	7.34651	−	1.56155i	0.956434	−	0.203296i	0.659587	+	0.751629i	$0.270731\pi$
$60$	−3.36149	−	0.887441i	−0.433966	−	0.114568i
$61$	−2.46453	+	11.5947i	−0.315551	+	1.48455i	0.479250	+	0.877679i	$0.340909\pi$
$61$	−2.46453	+	11.5947i	−0.315551	+	1.48455i	−0.794800	+	0.606871i	$0.792424\pi$
$62$	−0.745865	+	0.380037i	−0.0947249	+	0.0482647i
$63$	1.11398	+	1.06525i	0.140348	+	0.134209i
$64$	−0.951057	+	0.309017i	−0.118882	+	0.0386271i
$65$	8.11593	−	2.20675i	1.00666	−	0.273714i
$66$	0.912166	+	4.29140i	0.112280	+	0.528235i
$67$	1.28306	+	1.58445i	0.156751	+	0.193572i	0.849471	−	0.527635i	$-0.176921\pi$
$67$	1.28306	+	1.58445i	0.156751	+	0.193572i	−0.692720	+	0.721207i	$0.743588\pi$
$68$	0.905179	+	3.37817i	0.109769	+	0.409664i
$69$	9.48834	+	6.89368i	1.14226	+	0.829902i
$70$	−5.34011	+	2.54621i	−0.638266	+	0.304330i
$71$	0.613424	−	0.445679i	0.0728000	−	0.0528923i	−0.550790	−	0.834644i	$-0.685673\pi$
$71$	0.613424	−	0.445679i	0.0728000	−	0.0528923i	0.623590	+	0.781752i	$0.285673\pi$
$72$	−0.452741	−	0.366622i	−0.0533560	−	0.0432068i
$73$	0.261948	+	4.99827i	0.0306587	+	0.585003i	0.970161	+	0.242461i	$0.0779546\pi$
$73$	0.261948	+	4.99827i	0.0306587	+	0.585003i	−0.939502	+	0.342542i	$0.888712\pi$
$74$	2.50389	−	1.44562i	0.291072	−	0.168050i
$75$	7.76618	+	0.349620i	0.896761	+	0.0403706i
$76$		−	7.72304i		−	0.885894i
$77$	5.90547	+	4.56740i	0.672991	+	0.520503i
$78$	−5.77615	−	0.914852i	−0.654020	−	0.103587i
$79$	−15.3375	+	1.61204i	−1.72561	+	0.181369i	−0.914790	−	0.403930i	$-0.867644\pi$
$79$	−15.3375	+	1.61204i	−1.72561	+	0.181369i	−0.810818	+	0.585299i	$0.800977\pi$
$80$	1.93236	−	1.12516i	0.216044	−	0.125797i
$81$	−0.722596	+	6.87504i	−0.0802884	+	0.763893i
$82$	−4.16359	+	1.11563i	−0.459792	+	0.123201i
$83$	8.06647	−	1.27760i	0.885410	−	0.140235i	0.302865	−	0.953034i	$-0.402057\pi$
$83$	8.06647	−	1.27760i	0.885410	−	0.140235i	0.582545	+	0.812798i	$0.302057\pi$
$84$	4.11261	−	0.0919630i	0.448723	−	0.0100340i
$85$	−3.57600	−	6.95480i	−0.387872	−	0.754354i
$86$	3.65991	+	0.777938i	0.394658	+	0.0838872i
$87$	11.9735	+	7.77568i	1.28369	+	0.833641i
$88$	−2.36651	−	1.53683i	−0.252271	−	0.163827i
$89$	−14.3603	−	3.05239i	−1.52219	−	0.323552i	−0.630499	−	0.776190i	$-0.717150\pi$
$89$	−14.3603	−	3.05239i	−1.52219	−	0.323552i	−0.891695	+	0.452637i	$0.850483\pi$
$90$	1.16285	+	0.587114i	0.122575	+	0.0618873i
$91$	−8.50490	+	5.16719i	−0.891556	+	0.541669i
$92$	−7.45033	+	1.18002i	−0.776751	+	0.123025i
$93$	−1.25719	+	0.336862i	−0.130364	+	0.0349310i
$94$	1.13923	−	10.8390i	0.117502	−	1.11796i
$95$	3.65272	+	16.8785i	0.374761	+	1.73170i
$96$	−1.54629	+	0.162522i	−0.157818	+	0.0165873i
$97$	1.99762	+	0.316392i	0.202827	+	0.0321247i	0.257021	−	0.966406i	$-0.417259\pi$
$97$	1.99762	+	0.316392i	0.202827	+	0.0321247i	−0.0541940	+	0.998530i	$0.517259\pi$
$98$	5.23767	−	4.64401i	0.529085	−	0.469116i
$99$		−	1.64386i		−	0.165214i
$100$	−3.69096	+	3.37295i	−0.369096	+	0.337295i
$101$	−8.61531	+	4.97405i	−0.857256	+	0.494937i	−0.863092	−	0.505046i	$-0.831476\pi$
$101$	−8.61531	+	4.97405i	−0.857256	+	0.494937i	0.00583652	+	0.999983i	$0.498142\pi$
$102$	0.284587	+	5.43025i	0.0281783	+	0.537675i
$103$	−0.252116	−	0.204159i	−0.0248417	−	0.0201164i	0.616819	−	0.787105i	$-0.288421\pi$
$103$	−0.252116	−	0.204159i	−0.0248417	−	0.0201164i	−0.641661	+	0.766988i	$0.721754\pi$
$104$	3.04298	−	2.21085i	0.298389	−	0.216792i
$105$	−8.94452	+	2.14610i	−0.872895	+	0.209438i
$106$	3.80082	+	2.76146i	0.369168	+	0.268217i
$107$	3.18485	+	11.8860i	0.307891	+	1.14907i	0.930428	+	0.366475i	$0.119436\pi$
$107$	3.18485	+	11.8860i	0.307891	+	1.14907i	−0.622536	+	0.782591i	$0.713898\pi$
$108$	−3.50545	−	4.32887i	−0.337312	−	0.416545i
$109$	−2.35258	−	11.0680i	−0.225336	−	1.06012i	−0.934743	−	0.355324i	$-0.884371\pi$
$109$	−2.35258	−	11.0680i	−0.225336	−	1.06012i	0.709407	−	0.704799i	$-0.248963\pi$
$110$	5.89883	+	2.23944i	0.562431	+	0.213522i
$111$	4.27532	−	1.38914i	0.405795	−	0.131851i
$112$	−1.82854	+	1.91218i	−0.172781	+	0.180684i
$113$	−7.24993	+	3.69403i	−0.682016	+	0.347505i	−0.760433	−	0.649416i	$-0.775013\pi$
$113$	−7.24993	+	3.69403i	−0.682016	+	0.347505i	0.0784170	+	0.996921i	$0.475013\pi$
$114$	2.49657	−	11.7455i	0.233826	−	1.10006i
$115$	15.7244	−	6.10263i	1.46631	−	0.569073i
$116$	−8.98167	+	1.90911i	−0.833927	+	0.177257i
$117$	2.04569	+	0.785267i	0.189124	+	0.0725980i
$118$	−5.31082	+	5.31082i	−0.488901	+	0.488901i
$119$	6.34371	+	6.73626i	0.581527	+	0.617512i
$120$	3.30252	−	1.08653i	0.301477	−	0.0991859i
$121$	0.317532	+	3.02112i	0.0288666	+	0.274647i
$122$	−4.24800	−	11.0664i	−0.384596	−	1.00191i
$123$	−6.69277	+	0.350753i	−0.603467	+	0.0316263i
$124$	0.418552	−	0.724953i	0.0375871	−	0.0651027i
$125$	6.47122	−	9.11720i	0.578803	−	0.815467i
$126$	−1.51444	−	0.286676i	−0.134917	−	0.0255391i
$127$	0.192781	+	0.0982268i	0.0171065	+	0.00871622i	0.462523	−	0.886607i	$-0.346944\pi$
$127$	0.192781	+	0.0982268i	0.0171065	+	0.00871622i	−0.445416	+	0.895324i	$0.646944\pi$
$128$	0.629320	−	0.777146i	0.0556246	−	0.0686906i
$129$	5.31463	+	2.36623i	0.467927	+	0.208335i
$130$	−5.60471	+	6.27099i	−0.491565	+	0.550002i
$131$	−7.66433	−	17.2144i	−0.669635	−	1.50403i	−0.853510	−	0.521076i	$-0.825531\pi$
$131$	−7.66433	−	17.2144i	−0.669635	−	1.50403i	0.183875	−	0.982950i	$-0.441136\pi$
$132$	−3.10227	−	3.10227i	−0.270018	−	0.270018i
$133$	−9.68120	−	17.9942i	−0.839466	−	1.56030i
$134$	−1.93902	−	0.630026i	−0.167506	−	0.0544260i
$135$	9.70847	+	7.80269i	0.835572	+	0.671548i
$136$	−2.59903	−	2.34018i	−0.222865	−	0.200669i
$137$	−0.405242	+	0.624018i	−0.0346222	+	0.0533135i	−0.855558	−	0.517707i	$-0.826786\pi$
$137$	−0.405242	+	0.624018i	−0.0346222	+	0.0533135i	0.820936	+	0.571021i	$0.193452\pi$
$138$	−11.7122	−	0.613809i	−0.997006	−	0.0522509i
$139$	0.528814	+	1.62752i	0.0448534	+	0.138045i	0.970975	−	0.239180i	$-0.0768785\pi$
$139$	0.528814	+	1.62752i	0.0448534	+	0.138045i	−0.926122	+	0.377224i	$0.876879\pi$
$140$	3.09183	−	5.04387i	0.261307	−	0.426284i
$141$	5.23644	−	16.1161i	0.440987	−	1.35722i
$142$	−0.271727	+	0.707872i	−0.0228028	+	0.0594033i
$143$	10.2519	+	2.74698i	0.857304	+	0.229714i
$144$	0.579377	+	0.0608950i	0.0482814	+	0.00507458i
$145$	18.7263	−	8.42032i	1.55513	−	0.699270i
$146$	−2.94194	−	4.04923i	−0.243477	−	0.335117i
$147$	9.46686	−	5.36962i	0.780813	−	0.442879i
$148$	−1.31260	+	2.57612i	−0.107895	+	0.211756i
$149$	5.50102	+	3.17601i	0.450661	+	0.260189i	0.708109	−	0.706103i	$-0.249548\pi$
$149$	5.50102	+	3.17601i	0.450661	+	0.260189i	−0.257448	+	0.966292i	$0.582882\pi$
$150$	−6.70368	+	3.93655i	−0.547353	+	0.321418i
$151$	4.91497	+	8.51297i	0.399974	+	0.692776i	0.993722	−	0.111875i	$-0.0356857\pi$
$151$	4.91497	+	8.51297i	0.399974	+	0.692776i	−0.593748	+	0.804651i	$0.702352\pi$
$152$	4.20627	+	6.47709i	0.341174	+	0.525361i
$153$	0.318726	−	2.01236i	0.0257675	−	0.162689i
$154$	−7.44033	−	0.614192i	−0.599559	−	0.0494930i
$155$	−0.571858	+	1.78233i	−0.0459328	+	0.143160i
$156$	5.34255	−	2.37866i	0.427746	−	0.190445i
$157$	−0.946651	+	3.53295i	−0.0755509	+	0.281960i	−0.993358	−	0.115067i	$-0.963292\pi$
$157$	−0.946651	+	3.53295i	−0.0755509	+	0.281960i	0.917807	+	0.397027i	$0.129958\pi$
$158$	11.9852	−	9.70539i	0.953488	−	0.772119i
$159$	4.88774	+	5.42838i	0.387623	+	0.430499i
$160$	−1.00780	+	1.99608i	−0.0796738	+	0.157804i
$161$	−15.8796	+	12.0887i	−1.25149	+	0.952723i
$162$	−3.13840	−	6.15945i	−0.246576	−	0.483932i
$163$	0.655622	−	12.5100i	0.0513523	−	0.979859i	−0.844513	−	0.535534i	$-0.820110\pi$
$163$	0.655622	−	12.5100i	0.0513523	−	0.979859i	0.895866	−	0.444325i	$-0.146556\pi$
$164$	2.88427	−	3.20330i	0.225223	−	0.250136i
$165$	8.24720	+	5.31268i	0.642044	+	0.413591i
$166$	−6.06928	+	5.46480i	−0.471067	+	0.424151i
$167$	−2.63627	−	16.6448i	−0.204001	−	1.28801i	−0.850856	−	0.525399i	$-0.823916\pi$
$167$	−2.63627	−	16.6448i	−0.204001	−	1.28801i	0.646855	−	0.762613i	$-0.276084\pi$
$168$	−3.39904	+	2.31701i	−0.262242	+	0.178762i
$169$	−0.674542	+	0.928427i	−0.0518878	+	0.0714175i
$170$	6.78694	+	3.88516i	0.520535	+	0.297978i
$171$	−1.82999	+	4.11023i	−0.139943	+	0.314317i
$172$	−3.49315	+	1.34090i	−0.266350	+	0.102242i
$173$	5.53418	−	3.59394i	0.420756	−	0.273242i	−0.316847	−	0.948477i	$-0.602624\pi$
$173$	5.53418	−	3.59394i	0.420756	−	0.273242i	0.737603	+	0.675234i	$0.235958\pi$
$174$	−14.2768			−1.08232
$175$	−4.37156	+	12.4856i	−0.330459	+	0.943820i
$176$	2.82174			0.212697
$177$	−9.79366	+	6.36008i	−0.736137	+	0.478053i
$178$	13.7061	−	5.26126i	1.02731	−	0.394348i
$179$	10.1689	−	22.8397i	0.760058	−	1.70712i	0.0544504	−	0.998516i	$-0.482659\pi$
$179$	10.1689	−	22.8397i	0.760058	−	1.70712i	0.705608	−	0.708602i	$-0.250674\pi$
$180$	−1.29502	+	0.140940i	−0.0965248	+	0.0105050i
$181$	6.59067	−	9.07127i	0.489880	−	0.674262i	−0.490486	−	0.871449i	$-0.663181\pi$
$181$	6.59067	−	9.07127i	0.489880	−	0.674262i	0.980366	+	0.197187i	$0.0631806\pi$
$182$	4.31855	−	8.96567i	0.320112	−	0.664580i
$183$	−2.88313	−	18.2034i	−0.213127	−	1.34563i
$184$	5.60569	−	5.04739i	0.413257	−	0.372098i
$185$	1.65024	−	6.25086i	0.121328	−	0.459572i
$186$	0.870898	−	0.967230i	0.0638573	−	0.0709207i
$187$	0.516483	−	9.85508i	0.0377690	−	0.720675i
$188$	4.94792	+	9.71085i	0.360865	+	0.708236i
$189$	−13.5939	−	5.69176i	−0.988812	−	0.414015i
$190$	−12.2561	−	12.1661i	−0.889153	−	0.882623i
$191$	−11.6504	−	12.9390i	−0.842990	−	0.936235i	0.155679	−	0.987808i	$-0.450243\pi$
$191$	−11.6504	−	12.9390i	−0.842990	−	0.936235i	−0.998669	+	0.0515724i	$0.983577\pi$
$192$	1.20831	−	0.978473i	0.0872025	−	0.0706152i
$193$	−5.99664	+	22.3798i	−0.431648	+	1.61093i	0.317316	+	0.948320i	$0.397218\pi$
$193$	−5.99664	+	22.3798i	−0.431648	+	1.61093i	−0.748964	+	0.662611i	$0.769448\pi$
$194$	−1.84766	+	0.822632i	−0.132654	+	0.0590615i
$195$	−10.5510	+	7.72533i	−0.755573	+	0.553222i
$196$	−1.86337	+	6.74743i	−0.133098	+	0.481959i
$197$	−2.18731	+	13.8101i	−0.155839	+	0.983931i	0.778526	+	0.627613i	$0.215968\pi$
$197$	−2.18731	+	13.8101i	−0.155839	+	0.983931i	−0.934365	+	0.356318i	$0.884032\pi$
$198$	0.895310	+	1.37866i	0.0636269	+	0.0979768i
$199$	−2.65538	−	4.59925i	−0.188235	−	0.326032i	0.756427	−	0.654078i	$-0.226943\pi$
$199$	−2.65538	−	4.59925i	−0.188235	−	0.326032i	−0.944662	+	0.328046i	$0.893610\pi$
$200$	1.25846	−	4.83904i	0.0889863	−	0.342172i
$201$	−2.74526	−	1.58498i	−0.193636	−	0.111796i
$202$	4.51635	−	8.86383i	0.317769	−	0.623657i
$203$	−18.5336	+	15.7071i	−1.30080	+	1.10242i
$204$	−3.19620	−	4.39919i	−0.223779	−	0.308005i
$205$	−4.78845	+	8.36489i	−0.334440	+	0.584229i
$206$	0.322635	+	0.0339103i	0.0224791	+	0.00236265i
$207$	4.24469	+	1.13736i	0.295027	+	0.0790521i
$208$	−1.34794	+	3.51150i	−0.0934628	+	0.243479i
$209$	−6.73424	+	20.7259i	−0.465817	+	1.43364i
$210$	6.33265	−	6.67140i	0.436995	−	0.460370i
$211$	2.97388	+	9.15266i	0.204730	+	0.630095i	0.999724	+	0.0234777i	$0.00747387\pi$
$211$	2.97388	+	9.15266i	0.204730	+	0.630095i	−0.794994	+	0.606617i	$0.792526\pi$
$212$	−4.69164	−	0.245878i	−0.322223	−	0.0168870i
$213$	−0.642080	+	0.988716i	−0.0439946	+	0.0677457i
$214$	−9.14464	−	8.23387i	−0.625115	−	0.562856i
$215$	7.00001	−	4.58263i	0.477397	−	0.312533i
$216$	5.29758	+	1.72129i	0.360455	+	0.117119i
$217$	0.0664383	−	2.21377i	0.00451013	−	0.150281i
$218$	8.00110	+	8.00110i	0.541903	+	0.541903i
$219$	−3.16523	−	7.10923i	−0.213887	−	0.480397i
$220$	−6.16686	+	1.33458i	−0.415769	+	0.0899775i
$221$	12.0174	+	5.35048i	0.808376	+	0.359912i
$222$	−2.82901	+	3.49353i	−0.189871	+	0.234471i
$223$	0.654644	+	0.333558i	0.0438382	+	0.0223367i	0.475772	−	0.879569i	$-0.342169\pi$
$223$	0.654644	+	0.333558i	0.0438382	+	0.0223367i	−0.431934	+	0.901905i	$0.642169\pi$
$224$	0.492090	−	2.59959i	0.0328792	−	0.173692i
$225$	2.76357	−	0.920515i	0.184238	−	0.0613677i
$226$	4.06840	−	7.04667i	0.270626	−	0.468737i
$227$	−17.0334	+	0.892681i	−1.13054	+	0.0592493i	−0.608416	−	0.793618i	$-0.708195\pi$
$227$	−17.0334	+	0.892681i	−1.13054	+	0.0592493i	−0.522128	+	0.852867i	$0.674862\pi$
$228$	4.30323	+	11.2103i	0.284989	+	0.742421i
$229$	1.13580	+	10.8065i	0.0750561	+	0.714111i	0.965744	+	0.259496i	$0.0835564\pi$
$229$	1.13580	+	10.8065i	0.0750561	+	0.714111i	−0.890688	+	0.454615i	$0.849777\pi$
$230$	−9.86387	+	13.6822i	−0.650404	+	0.902179i
$231$	−11.1169	−	3.33927i	−0.731442	−	0.219708i
$232$	6.49288	−	6.49288i	0.426279	−	0.426279i
$233$	7.38939	+	2.83652i	0.484095	+	0.185827i	0.588161	−	0.808744i	$-0.299852\pi$
$233$	7.38939	+	2.83652i	0.484095	+	0.185827i	−0.104066	+	0.994570i	$0.533185\pi$
$234$	−2.14335	+	0.455583i	−0.140115	+	0.0297824i
$235$	−15.4064	−	18.8826i	−1.00501	−	1.23177i
$236$	1.56155	−	7.34651i	0.101648	−	0.478217i
$237$	21.3648	−	10.8859i	1.38779	−	0.707116i
$238$	−8.98911	−	2.19447i	−0.582678	−	0.142246i
$239$	1.58888	−	0.516257i	0.102776	−	0.0333939i	−0.257178	−	0.966364i	$-0.582793\pi$
$239$	1.58888	−	0.516257i	0.102776	−	0.0333939i	0.359954	+	0.932970i	$0.382793\pi$
$240$	−2.17796	+	2.70992i	−0.140587	+	0.174924i
$241$	−2.83501	−	13.3377i	−0.182619	−	0.859155i	−0.970079	−	0.242789i	$-0.921938\pi$
$241$	−2.83501	−	13.3377i	−0.182619	−	0.859155i	0.787460	−	0.616366i	$-0.211396\pi$
$242$	−1.91172	−	2.36078i	−0.122890	−	0.151757i
$243$	1.54318	+	5.75921i	0.0989948	+	0.369454i
$244$	9.58987	+	6.96745i	0.613929	+	0.446045i
$245$	0.881062	−	15.6277i	0.0562890	−	0.998415i
$246$	5.42199	−	3.93931i	0.345694	−	0.251161i
$247$	−22.5752	−	18.2811i	−1.43643	−	1.16320i
$248$	0.0438106	+	0.835956i	0.00278198	+	0.0530833i
$249$	−10.9969	+	6.34908i	−0.696902	+	0.402356i
$250$	−0.461638	+	11.1708i	−0.0291965	+	0.706504i
$251$		−	1.61418i		−	0.101886i	−0.998702	−	0.0509431i	$-0.983777\pi$
$251$		−	1.61418i		−	0.101886i	0.998702	−	0.0509431i	$-0.0162227\pi$
$252$	1.42625	−	0.584394i	0.0898452	−	0.0368134i
$253$	21.0229	+	3.32971i	1.32170	+	0.209337i
$254$	−0.215178	+	0.0226161i	−0.0135015	+	0.00141906i
$255$	9.06588	+	8.10264i	0.567727	+	0.507407i
$256$	−0.104528	+	0.994522i	−0.00653303	+	0.0621576i
$257$	14.6395	−	3.92265i	0.913188	−	0.244688i	0.228517	−	0.973540i	$-0.426612\pi$
$257$	14.6395	−	3.92265i	0.913188	−	0.244688i	0.684671	+	0.728852i	$0.259946\pi$
$258$	−5.74596	+	0.910071i	−0.357728	+	0.0566586i
$259$	0.171010	+	7.64761i	0.0106260	+	0.475199i
$260$	1.28508	−	8.31183i	0.0796971	−	0.515478i
$261$	5.23244	+	1.11219i	0.323880	+	0.0688428i
$262$	15.8035	+	10.2629i	0.976341	+	0.634043i
$263$	−6.24152	−	4.05329i	−0.384869	−	0.249937i	0.337674	−	0.941263i	$-0.390360\pi$
$263$	−6.24152	−	4.05329i	−0.384869	−	0.249937i	−0.722542	+	0.691327i	$0.757027\pi$
$264$	4.29140	+	0.912166i	0.264118	+	0.0561399i
$265$	10.3697	−	1.68161i	0.637009	−	0.103301i
$266$	17.9197	+	9.81848i	1.09873	+	0.602009i
$267$	22.5454	−	3.57084i	1.37976	−	0.218532i
$268$	1.96934	−	0.527682i	0.120296	−	0.0322333i
$269$	−1.70890	+	16.2591i	−0.104194	+	0.991335i	0.810102	+	0.586289i	$0.199412\pi$
$269$	−1.70890	+	16.2591i	−0.104194	+	0.991335i	−0.914296	+	0.405047i	$0.867255\pi$
$270$	−12.3919	−	1.25627i	−0.754144	−	0.0764543i
$271$	−0.553444	+	0.0581694i	−0.0336194	+	0.00353354i	−0.121323	−	0.992613i	$-0.538714\pi$
$271$	−0.553444	+	0.0581694i	−0.0336194	+	0.00353354i	0.0877039	+	0.996147i	$0.472047\pi$
$272$	3.45428	+	0.547105i	0.209447	+	0.0331731i
$273$	9.46607	−	12.2393i	0.572912	−	0.740754i
$274$		−	0.744057i		−	0.0449501i
$275$	12.8463	−	5.83340i	0.774661	−	0.351767i
$276$	10.1570	−	5.86412i	0.611377	−	0.352978i
$277$	−1.34181	−	25.6033i	−0.0806216	−	1.53835i	−0.677201	−	0.735798i	$-0.736807\pi$
$277$	−1.34181	−	25.6033i	−0.0806216	−	1.53835i	0.596580	−	0.802554i	$-0.296526\pi$
$278$	−1.32991	−	1.07694i	−0.0797629	−	0.0645907i
$279$	−0.394533	+	0.286645i	−0.0236201	+	0.0171610i
$280$	0.154058	+	5.91407i	0.00920672	+	0.353433i
$281$	13.7989	+	10.0255i	0.823175	+	0.598071i	0.917620	−	0.397459i	$-0.130108\pi$
$281$	13.7989	+	10.0255i	0.823175	+	0.598071i	−0.0944455	+	0.995530i	$0.530108\pi$
$282$	4.38581	+	16.3681i	0.261171	+	0.974704i
$283$	8.88840	+	10.9763i	0.528360	+	0.652471i	0.969536	−	0.244950i	$-0.0787716\pi$
$283$	8.88840	+	10.9763i	0.528360	+	0.652471i	−0.441175	+	0.897421i	$0.645438\pi$
$284$	−0.157646	−	0.741665i	−0.00935455	−	0.0440097i
$285$	−14.7067	−	22.4646i	−0.871148	−	1.33069i
$286$	−10.0940	+	3.27976i	−0.596874	+	0.193936i
$287$	2.70468	−	11.0791i	0.159652	−	0.653976i
$288$	−0.519072	+	0.264480i	−0.0305866	+	0.0155847i
$289$	−0.991447	+	4.66439i	−0.0583204	+	0.274376i
$290$	−11.1191	+	17.2609i	−0.652939	+	1.01360i
$291$	−3.07591	+	0.653805i	−0.180313	+	0.0383267i
$292$	4.67269	+	1.79368i	0.273449	+	0.104967i
$293$	−18.1661	+	18.1661i	−1.06128	+	1.06128i	−0.0632796	+	0.997996i	$0.520156\pi$
$293$	−18.1661	+	18.1661i	−1.06128	+	1.06128i	−0.997996	+	0.0632796i	$0.979844\pi$
$294$	−5.01507	+	9.65936i	−0.292485	+	0.563345i
$295$	0.0619037	+	16.7942i	0.00360417	+	0.977795i
$296$	−0.302218	−	2.87541i	−0.0175660	−	0.167130i
$297$	5.63272	+	14.6737i	0.326844	+	0.851457i
$298$	−6.34332	+	0.332439i	−0.367459	+	0.0192577i
$299$	−14.1862	+	24.5713i	−0.820411	+	1.42099i
$300$	3.47818	−	6.95256i	0.200813	−	0.401406i
$301$	−6.45796	+	7.50304i	−0.372231	+	0.432468i
$302$	−8.75853	−	4.46270i	−0.503997	−	0.256799i
$303$	9.73396	−	12.0204i	0.559201	−	0.690556i
$304$	−7.05535	−	3.14125i	−0.404652	−	0.180163i
$305$	−24.2538	−	10.6915i	−1.38877	−	0.612196i
$306$	0.828702	+	1.86129i	0.0473737	+	0.106403i
$307$	3.99508	+	3.99508i	0.228011	+	0.228011i	0.811861	−	0.583850i	$-0.198454\pi$
$307$	3.99508	+	3.99508i	0.228011	+	0.228011i	−0.583850	+	0.811861i	$0.698454\pi$
$308$	6.57450	−	3.53719i	0.374617	−	0.201550i
$309$	0.479713	+	0.155868i	0.0272899	+	0.00886702i
$310$	−0.491124	−	1.80624i	−0.0278940	−	0.102588i
$311$	−13.5510	−	12.2014i	−0.768407	−	0.691876i	0.188564	−	0.982061i	$-0.439617\pi$
$311$	−13.5510	−	12.2014i	−0.768407	−	0.691876i	−0.956971	+	0.290185i	$0.906283\pi$
$312$	−3.18513	+	4.90467i	−0.180323	+	0.277672i
$313$	−14.1085	−	0.739396i	−0.797461	−	0.0417931i	−0.350747	−	0.936470i	$-0.614072\pi$
$313$	−14.1085	−	0.739396i	−0.797461	−	0.0417931i	−0.446713	+	0.894677i	$0.647406\pi$
$314$	−1.13025	−	3.47856i	−0.0637839	−	0.196307i
$315$	−2.84063	+	1.95174i	−0.160052	+	0.109968i
$316$	−4.76566	+	14.6672i	−0.268090	+	0.825095i
$317$	−2.49836	+	6.50846i	−0.140322	+	0.365552i	−0.985675	−	0.168657i	$-0.946057\pi$
$317$	−2.49836	+	6.50846i	−0.140322	+	0.365552i	0.845353	+	0.534209i	$0.179390\pi$
$318$	−7.05571	−	1.89057i	−0.395665	−	0.106018i
$319$	25.7682	+	2.70835i	1.44274	+	0.151639i
$320$	−0.241928	−	2.22294i	−0.0135242	−	0.124266i
$321$	−11.2458	−	15.4785i	−0.627677	−	0.863924i
$322$	6.73379	−	18.7871i	0.375259	−	1.04696i
$323$	−12.2623	+	24.0662i	−0.682295	+	1.33908i
$324$	5.98675	+	3.45645i	0.332597	+	0.192025i
$325$	1.12269	+	18.7731i	0.0622756	+	1.04134i
$326$	6.26359	+	10.8489i	0.346908	+	0.600862i
$327$	9.58188	+	14.7548i	0.529879	+	0.815942i
$328$	−0.674306	+	4.25740i	−0.0372323	+	0.235075i
$329$	23.7014	+	16.4232i	1.30670	+	0.905443i
$330$	−9.81018	+	0.0361605i	−0.540033	+	0.00199057i
$331$	−15.6907	+	6.98596i	−0.862440	+	0.383983i	−0.789792	−	0.613374i	$-0.789812\pi$
$331$	−15.6907	+	6.98596i	−0.862440	+	0.383983i	−0.0726482	+	0.997358i	$0.523145\pi$
$332$	2.11378	−	7.88873i	0.116009	−	0.432950i
$333$	1.30898	−	1.06000i	0.0717319	−	0.0580874i
$334$	11.2764	+	12.5237i	0.617015	+	0.685265i
$335$	−4.05437	+	2.08466i	−0.221514	+	0.113897i
$336$	1.58874	−	3.79446i	0.0866727	−	0.207005i
$337$	0.212279	+	0.416621i	0.0115636	+	0.0226948i	0.896716	−	0.442606i	$-0.145946\pi$
$337$	0.212279	+	0.416621i	0.0115636	+	0.0226948i	−0.885152	+	0.465301i	$0.845946\pi$
$338$	0.0600607	−	1.14603i	0.00326687	−	0.0623356i
$339$	8.46528	−	9.40164i	0.459771	−	0.510627i
$340$	−7.80802	+	0.438066i	−0.423449	+	0.0237575i
$341$	−1.75538	+	1.58055i	−0.0950590	+	0.0855915i
$342$	−0.703830	−	4.44381i	−0.0380588	−	0.240294i
$343$	4.11668	+	18.0569i	0.222280	+	0.974983i
$344$	2.19930	−	3.02708i	0.118578	−	0.163209i
$345$	−19.4243	+	17.6198i	−1.04577	+	0.948616i
$346$	−2.68396	+	6.02826i	−0.144290	+	0.324081i
$347$	5.74292	−	2.20450i	0.308296	−	0.118344i	−0.199301	−	0.979938i	$-0.563867\pi$
$347$	5.74292	−	2.20450i	0.308296	−	0.118344i	0.507597	+	0.861595i	$0.330534\pi$
$348$	11.9735	−	7.77568i	0.641847	−	0.416820i
$349$	1.08901			0.0582934			0.0291467	−	0.999575i	$-0.490721\pi$
$349$	1.08901			0.0582934			0.0291467	+	0.999575i	$0.490721\pi$
$350$	−3.13383	−	12.8522i	−0.167510	−	0.686979i
$351$	−20.9514			−1.11830
$352$	−2.36651	+	1.53683i	−0.126136	+	0.0819134i
$353$	14.4047	−	5.52944i	0.766684	−	0.294302i	0.0565790	−	0.998398i	$-0.481981\pi$
$353$	14.4047	−	5.52944i	0.766684	−	0.294302i	0.710105	+	0.704096i	$0.248647\pi$
$354$	4.74971	−	10.6680i	0.252444	−	0.566999i
$355$	0.695311	+	1.54633i	0.0369033	+	0.0820707i
$356$	−8.62937	+	11.8773i	−0.457356	+	0.629496i
$357$	−12.9615	−	6.24327i	−0.685998	−	0.330429i
$358$	3.91104	+	24.6934i	0.206705	+	1.30508i
$359$	5.88370	−	5.29770i	0.310530	−	0.279602i	−0.499099	−	0.866545i	$-0.666335\pi$
$359$	5.88370	−	5.29770i	0.310530	−	0.279602i	0.809628	+	0.586943i	$0.199669\pi$
$360$	1.00933	−	0.823518i	0.0531964	−	0.0434032i
$361$	27.1971	−	30.2054i	1.43143	−	1.58976i
$362$	−0.586828	+	11.1973i	−0.0308430	+	0.588519i
$363$	−2.14426	−	4.20834i	−0.112544	−	0.220881i
$364$	1.26121	+	9.87130i	0.0661056	+	0.517397i
$365$	−11.0604	−	1.71003i	−0.578928	−	0.0895069i
$366$	12.3323	+	13.6964i	0.644618	+	0.715921i
$367$	−4.70632	+	3.81110i	−0.245668	+	0.198938i	−0.744244	−	0.667908i	$-0.767190\pi$
$367$	−4.70632	+	3.81110i	−0.245668	+	0.198938i	0.498576	+	0.866846i	$0.333857\pi$
$368$	−1.95232	+	7.28617i	−0.101772	+	0.379818i
$369$	−2.29404	+	1.02137i	−0.119423	+	0.0531706i
$370$	2.02045	+	6.14120i	0.105038	+	0.319266i
$371$	−11.2395	+	5.30830i	−0.583523	+	0.275593i
$372$	−0.203605	+	1.28551i	−0.0105564	+	0.0666507i
$373$	3.97127	+	6.11522i	0.205624	+	0.316634i	0.926404	−	0.376530i	$-0.122883\pi$
$373$	3.97127	+	6.11522i	0.205624	+	0.316634i	−0.720780	+	0.693164i	$0.756216\pi$
$374$	4.93430	+	8.54646i	0.255147	+	0.441927i
$375$	−4.31318	+	16.8397i	−0.222732	+	0.869598i
$376$	−9.43859	−	5.44937i	−0.486758	−	0.281030i
$377$	−15.6798	+	30.7734i	−0.807551	+	1.58491i
$378$	14.5008	−	2.63027i	0.745839	−	0.135286i
$379$	−13.4901	−	18.5676i	−0.692941	−	0.953751i	−0.999998	−	0.00206017i	$-0.999344\pi$
$379$	−13.4901	−	18.5676i	−0.692941	−	0.953751i	0.307057	−	0.951691i	$-0.400656\pi$
$380$	16.9050	+	3.52819i	0.867208	+	0.180992i
$381$	−0.334561	−	0.0351637i	−0.0171401	−	0.00180149i
$382$	16.8179	+	4.50634i	0.860479	+	0.230565i
$383$	4.52230	−	11.7810i	0.231079	−	0.601981i	−0.768190	−	0.640222i	$-0.778842\pi$
$383$	4.52230	−	11.7810i	0.231079	−	0.601981i	0.999269	+	0.0382415i	$0.0121756\pi$
$384$	−0.480462	+	1.47871i	−0.0245185	+	0.0754602i
$385$	−12.6954	+	10.8399i	−0.647020	+	0.552454i
$386$	−7.15969	−	22.0353i	−0.364419	−	1.12157i
$387$	2.17679	+	0.114081i	0.110653	+	0.00579906i
$388$	1.10154	−	1.69623i	0.0559223	−	0.0861128i
$389$	−19.0451	−	17.1483i	−0.965624	−	0.869452i	0.0258621	−	0.999666i	$-0.491767\pi$
$389$	−19.0451	−	17.1483i	−0.965624	−	0.869452i	−0.991486	+	0.130214i	$0.958434\pi$
$390$	4.64130	−	12.2255i	0.235021	−	0.619062i
$391$	25.0900	+	8.15222i	1.26885	+	0.412276i
$392$	−2.11216	−	6.67374i	−0.106680	−	0.337075i
$393$	20.7168	+	20.7168i	1.04502	+	1.04502i
$394$	−5.68710	−	12.7734i	−0.286512	−	0.643517i
$395$	3.47819	−	34.3088i	0.175007	−	1.72626i
$396$	−1.50174	−	0.668618i	−0.0754653	−	0.0335993i
$397$	12.1693	−	15.0278i	0.610757	−	0.754223i	−0.374138	−	0.927373i	$-0.622061\pi$
$397$	12.1693	−	15.0278i	0.610757	−	0.754223i	0.984895	+	0.173150i	$0.0553947\pi$
$398$	4.73192	+	2.41103i	0.237190	+	0.120854i
$399$	24.0789	+	20.7250i	1.20545	+	1.03755i
$400$	1.58010	+	4.74376i	0.0790049	+	0.237188i
$401$	5.61597	−	9.72714i	0.280448	−	0.485750i	−0.691047	−	0.722810i	$-0.742850\pi$
$401$	5.61597	−	9.72714i	0.280448	−	0.485750i	0.971495	+	0.237060i	$0.0761836\pi$
$402$	3.16561	−	0.165903i	0.157886	−	0.00827448i
$403$	−1.12837	−	2.93949i	−0.0562079	−	0.146427i
$404$	1.03986	+	9.89361i	0.0517350	+	0.492226i
$405$	−14.7187	−	4.72248i	−0.731377	−	0.234662i
$406$	6.98890	−	23.2672i	0.346853	−	1.15473i
$407$	5.76883	−	5.76883i	0.285950	−	0.285950i
$408$	5.07653	+	1.94870i	0.251326	+	0.0964749i
$409$	12.3307	−	2.62097i	0.609714	−	0.129599i	0.107301	−	0.994227i	$-0.465779\pi$
$409$	12.3307	−	2.62097i	0.609714	−	0.129599i	0.502413	+	0.864628i	$0.332446\pi$
$410$	−0.539915	−	9.62336i	−0.0266645	−	0.475264i
$411$	0.240526	−	1.13159i	0.0118643	−	0.0558170i
$412$	−0.289054	+	0.147280i	−0.0142407	+	0.00725597i
$413$	−5.57088	−	19.0744i	−0.274125	−	0.938590i
$414$	−4.17935	+	1.35795i	−0.205404	+	0.0667398i
$415$	−0.888532	+	18.2404i	−0.0436163	+	0.895385i
$416$	−0.782024	−	3.67914i	−0.0383419	−	0.180384i
$417$	−1.67444	−	2.06776i	−0.0819976	−	0.101259i
$418$	−5.64030	−	21.0499i	−0.275876	−	1.02958i
$419$	−0.292465	−	0.212489i	−0.0142879	−	0.0103807i	0.580618	−	0.814176i	$-0.302811\pi$
$419$	−0.292465	−	0.212489i	−0.0142879	−	0.0103807i	−0.594906	+	0.803795i	$0.702811\pi$
$420$	−1.67750	+	9.04412i	−0.0818539	+	0.441308i
$421$	25.4099	−	18.4614i	1.23840	−	0.899753i	0.240913	−	0.970547i	$-0.422553\pi$
$421$	25.4099	−	18.4614i	1.23840	−	0.899753i	0.997491	+	0.0707932i	$0.0225531\pi$
$422$	−7.47900	−	6.05637i	−0.364072	−	0.294820i
$423$	−0.332295	−	6.34056i	−0.0161567	−	0.308289i
$424$	4.06865	−	2.34904i	0.197591	−	0.114079i
$425$	16.8570	−	4.65029i	0.817687	−	0.225572i
$426$		−	1.17891i		−	0.0571183i
$427$	31.0779	+	4.21239i	1.50396	+	0.203852i
$428$	12.1538	+	1.92498i	0.587477	+	0.0930473i
$429$	−16.4116	+	1.72493i	−0.792359	+	0.0832803i
$430$	−3.37482	+	7.65579i	−0.162748	+	0.369195i
$431$	0.737106	−	7.01310i	0.0355052	−	0.337809i	−0.962321	−	0.271914i	$-0.912343\pi$
$431$	0.737106	−	7.01310i	0.0355052	−	0.337809i	0.997827	−	0.0658946i	$-0.0209901\pi$
$432$	−5.38041	+	1.44168i	−0.258865	+	0.0693627i
$433$	−1.28084	+	0.202865i	−0.0615532	+	0.00974907i	−0.187135	−	0.982334i	$-0.559920\pi$
$433$	−1.28084	+	0.202865i	−0.0615532	+	0.00974907i	0.125582	+	0.992083i	$0.459920\pi$
$434$	1.14999	+	1.89281i	0.0552011	+	0.0908578i
$435$	−22.4902	+	22.6566i	−1.07832	+	1.08630i
$436$	−11.0680	−	2.35258i	−0.530061	−	0.112668i
$437$	−48.8580	−	31.7287i	−2.33719	−	1.51779i
$438$	6.52655	+	4.23839i	0.311851	+	0.202518i
$439$	−24.0149	−	5.10453i	−1.14617	−	0.243626i	−0.404595	−	0.914496i	$-0.632588\pi$
$439$	−24.0149	−	5.10453i	−1.14617	−	0.243626i	−0.741575	+	0.670870i	$0.765921\pi$
$440$	4.44509	−	4.47799i	0.211912	−	0.213480i
$441$	2.59051	−	3.14947i	0.123358	−	0.149975i
$442$	−12.9927	+	2.05784i	−0.618000	+	0.0978815i
$443$	−1.00358	+	0.268907i	−0.0476813	+	0.0127762i	−0.282581	−	0.959243i	$-0.591191\pi$
$443$	−1.00358	+	0.268907i	−0.0476813	+	0.0127762i	0.234900	+	0.972020i	$0.424524\pi$
$444$	0.469891	−	4.47071i	0.0223000	−	0.212171i
$445$	13.2418	−	30.0390i	0.627719	−	1.42398i
$446$	−0.730699	+	0.0767996i	−0.0345996	+	0.00363657i
$447$	−9.75460	−	1.54498i	−0.461377	−	0.0730749i
$448$	1.00313	+	2.44821i	0.0473936	+	0.115667i
$449$			13.9992i			0.660665i	0.943865	+	0.330332i	$0.107161\pi$
$449$			13.9992i			0.660665i	−0.943865	+	0.330332i	$0.892839\pi$
$450$	−1.81637	+	2.27716i	−0.0856246	+	0.107346i
$451$	−10.5335	+	6.08152i	−0.496003	+	0.286368i
$452$	0.425847	+	8.12564i	0.0200301	+	0.382198i
$453$	−11.8776	−	9.61832i	−0.558060	−	0.451908i
$454$	13.7992	−	10.0257i	0.647628	−	0.470529i
$455$	−7.42512	−	20.9770i	−0.348095	−	0.983416i
$456$	−9.71456	−	7.05804i	−0.454926	−	0.330523i
$457$	−3.09637	−	11.5558i	−0.144842	−	0.540558i	−0.999762	−	0.0217987i	$-0.993061\pi$
$457$	−3.09637	−	11.5558i	−0.144842	−	0.540558i	0.854920	−	0.518759i	$-0.173606\pi$
$458$	−6.83819	−	8.44446i	−0.319527	−	0.394584i
$459$	4.05031	+	19.0552i	0.189052	+	0.889422i
$460$	0.820663	−	16.8471i	0.0382636	−	0.785502i
$461$	−7.28455	+	2.36689i	−0.339275	+	0.110237i	−0.473699	−	0.880687i	$-0.657082\pi$
$461$	−7.28455	+	2.36689i	−0.339275	+	0.110237i	0.134424	+	0.990924i	$0.457082\pi$
$462$	11.1422	−	3.25418i	0.518380	−	0.151398i
$463$	−17.7742	+	9.05641i	−0.826038	+	0.420887i	−0.815289	−	0.579055i	$-0.803422\pi$
$463$	−17.7742	+	9.05641i	−0.826038	+	0.420887i	−0.0107493	+	0.999942i	$0.503422\pi$
$464$	−1.90911	+	8.98167i	−0.0886283	+	0.416964i
$465$	−0.163026	−	2.90575i	−0.00756016	−	0.134751i
$466$	−7.74214	+	1.64564i	−0.358648	+	0.0762329i
$467$	30.1181	+	11.5613i	1.39370	+	0.534991i	0.935332	−	0.353771i	$-0.115101\pi$
$467$	30.1181	+	11.5613i	1.39370	+	0.534991i	0.458368	+	0.888762i	$0.348434\pi$
$468$	1.54943	−	1.54943i	0.0716226	−	0.0716226i
$469$	3.92696	−	3.69812i	0.181330	−	0.170764i
$470$	23.2052	+	7.44536i	1.07037	+	0.343429i
$471$	−0.594436	−	5.65568i	−0.0273902	−	0.260600i
$472$	2.69157	+	7.01178i	0.123890	+	0.322743i
$473$	10.5436	−	0.552565i	0.484794	−	0.0254070i
$474$	−11.9891	+	20.7658i	−0.550680	+	0.953805i
$475$	−38.6142	+	0.284669i	−1.77174	+	0.0130615i
$476$	8.73410	−	3.05538i	0.400327	−	0.140043i
$477$	2.43864	+	1.24255i	0.111658	+	0.0568924i
$478$	−1.05137	+	1.29833i	−0.0480886	+	0.0593844i
$479$	−2.04785	−	0.911761i	−0.0935686	−	0.0416594i	0.359419	−	0.933176i	$-0.382975\pi$
$479$	−2.04785	−	0.911761i	−0.0935686	−	0.0416594i	−0.452987	+	0.891517i	$0.649642\pi$
$480$	0.350663	−	3.45893i	0.0160055	−	0.157878i
$481$	4.42323	+	9.93474i	0.201682	+	0.452985i
$482$	9.64186	+	9.64186i	0.439175	+	0.439175i
$483$	16.3141	−	26.3953i	0.742319	−	1.20103i
$484$	2.88908	+	0.938719i	0.131322	+	0.0426690i
$485$	−1.60514	+	4.22805i	−0.0728857	+	0.191986i
$486$	−4.43091	−	3.98961i	−0.200990	−	0.180972i
$487$	6.03873	−	9.29883i	0.273641	−	0.421370i	−0.674955	−	0.737858i	$-0.735837\pi$
$487$	6.03873	−	9.29883i	0.273641	−	0.421370i	0.948596	+	0.316488i	$0.102504\pi$
$488$	−11.8375	−	0.620377i	−0.535858	−	0.0280831i
$489$	6.01884	+	18.5241i	0.272181	+	0.837688i
$490$	7.77251	+	13.5863i	0.351126	+	0.613767i
$491$	10.4511	−	32.1652i	0.471652	−	1.45159i	−0.378769	−	0.925491i	$-0.623652\pi$
$491$	10.4511	−	32.1652i	0.471652	−	1.45159i	0.850421	−	0.526103i	$-0.176348\pi$
$492$	−2.40177	+	6.25681i	−0.108280	+	0.282079i
$493$	31.0195	+	8.31165i	1.39705	+	0.374338i
$494$	28.8898	+	3.03644i	1.29981	+	0.136616i
$495$	3.59825	+	0.750980i	0.161729	+	0.0337540i
$496$	−0.492037	−	0.677231i	−0.0220931	−	0.0304086i
$497$	−1.29702	−	1.53042i	−0.0581791	−	0.0686486i
$498$	5.76484	−	11.3141i	0.258329	−	0.506999i
$499$	−38.2904	−	22.1070i	−1.71411	−	0.989644i	−0.928830	−	0.370507i	$-0.879184\pi$
$499$	−38.2904	−	22.1070i	−1.71411	−	0.989644i	−0.785283	−	0.619137i	$-0.787483\pi$
$500$	−5.69689	−	9.62005i	−0.254773	−	0.430222i
$501$	13.1010	+	22.6916i	0.585310	+	1.01379i
$502$	0.879146	+	1.35377i	0.0392382	+	0.0604215i
$503$	−2.47262	+	15.6115i	−0.110249	+	0.696083i	0.869211	+	0.494442i	$0.164627\pi$
$503$	−2.47262	+	15.6115i	−0.110249	+	0.696083i	−0.979459	+	0.201641i	$0.935373\pi$
$504$	−0.877869	+	1.26690i	−0.0391034	+	0.0564324i
$505$	−6.95191	−	21.1304i	−0.309356	−	0.940292i
$506$	−19.4448	+	8.65738i	−0.864427	+	0.384868i
$507$	0.461810	−	1.72350i	0.0205097	−	0.0765433i
$508$	0.168146	−	0.136162i	0.00746026	−	0.00604120i
$509$	1.07899	+	1.19834i	0.0478254	+	0.0531155i	0.766583	−	0.642145i	$-0.221955\pi$
$509$	1.07899	+	1.19834i	0.0478254	+	0.0531155i	−0.718757	+	0.695261i	$0.755289\pi$
$510$	−12.0163	−	1.85782i	−0.532091	−	0.0822655i
$511$	13.1355	−	1.67827i	0.581082	−	0.0742424i
$512$	−0.453990	−	0.891007i	−0.0200637	−	0.0393773i
$513$	2.25144	−	42.9600i	0.0994035	−	1.89673i
$514$	−10.1413	+	11.2631i	−0.447314	+	0.496792i
$515$	0.562062	−	0.458589i	0.0247674	−	0.0202079i
$516$	4.32331	−	3.89273i	0.190323	−	0.171368i
$517$	−4.81090	−	30.3748i	−0.211583	−	1.33588i
$518$	−4.30861	−	6.32069i	−0.189309	−	0.277715i
$519$	−6.03056	+	8.30036i	−0.264712	+	0.364345i
$520$	3.44919	+	7.67079i	0.151257	+	0.336387i
$521$	−0.142695	+	0.320499i	−0.00625160	+	0.0140413i	−0.916644	−	0.399704i	$-0.869113\pi$
$521$	−0.142695	+	0.320499i	−0.00625160	+	0.0140413i	0.910393	+	0.413745i	$0.135780\pi$
$522$	−4.99403	+	1.91703i	−0.218583	+	0.0839061i
$523$	26.7877	−	17.3961i	1.17134	−	0.760679i	0.195833	−	0.980637i	$-0.437259\pi$
$523$	26.7877	−	17.3961i	1.17134	−	0.760679i	0.975509	+	0.219958i	$0.0705921\pi$
$524$	−18.8435			−0.823180
$525$	−0.611392	−	20.5591i	−0.0266833	−	0.897273i
$526$	7.44216			0.324494
$527$	−2.45532	+	1.59451i	−0.106956	+	0.0694577i
$528$	−4.09587	+	1.57226i	−0.178250	+	0.0684238i
$529$	−13.7883	+	30.9691i	−0.599492	+	1.34648i
$530$	−7.78093	+	7.05809i	−0.337982	+	0.306584i
$531$	−2.57183	+	3.53982i	−0.111608	+	0.153615i
$532$	−20.3762	+	1.52530i	−0.883422	+	0.0661301i
$533$	−2.53629	−	16.0135i	−0.109859	−	0.693621i
$534$	−16.9633	+	15.2739i	−0.734075	+	0.660964i
$535$	−27.4723	+	1.54133i	−1.18773	+	0.0666373i
$536$	−1.36423	+	1.51513i	−0.0589257	+	0.0654436i
$537$	−2.03440	+	38.8188i	−0.0877911	+	1.67515i
$538$	−7.42214	−	14.5668i	−0.319991	−	0.628018i
$539$	10.8842	−	16.4829i	0.468814	−	0.709968i
$540$	11.0769	−	5.69549i	0.476674	−	0.245095i
$541$	5.20207	+	5.77749i	0.223655	+	0.248394i	0.844521	−	0.535523i	$-0.179886\pi$
$541$	5.20207	+	5.77749i	0.223655	+	0.248394i	−0.620866	+	0.783917i	$0.713219\pi$
$542$	0.432476	−	0.350212i	0.0185764	−	0.0150429i
$543$	−4.51215	+	16.8396i	−0.193635	+	0.722656i
$544$	−3.19498	+	1.42250i	−0.136984	+	0.0609891i
$545$	25.3015	−	0.0932619i	1.08380	−	0.00399490i
$546$	−1.27293	+	15.4203i	−0.0544764	+	0.659928i
$547$	−6.14537	+	38.8003i	−0.262757	+	1.65898i	0.404786	+	0.914411i	$0.367346\pi$
$547$	−6.14537	+	38.8003i	−0.262757	+	1.65898i	−0.667543	+	0.744571i	$0.732654\pi$
$548$	0.405242	+	0.624018i	0.0173111	+	0.0266567i
$549$	−3.45281	−	5.98044i	−0.147362	−	0.255239i
$550$	−7.59672	+	11.8889i	−0.323925	+	0.506944i
$551$	−61.4146	−	35.4578i	−2.61635	−	1.51055i
$552$	−5.32451	+	10.4499i	−0.226626	+	0.444779i
$553$	7.28231	+	40.1477i	0.309675	+	1.70725i
$554$	15.0699	+	20.7419i	0.640258	+	0.881239i
$555$	1.08755	+	9.99287i	0.0461639	+	0.424174i
$556$	1.70190	+	0.178877i	0.0721768	+	0.00758608i
$557$	−27.4711	−	7.36087i	−1.16399	−	0.311890i	−0.375431	−	0.926850i	$-0.622505\pi$
$557$	−27.4711	−	7.36087i	−1.16399	−	0.311890i	−0.788558	+	0.614960i	$0.789172\pi$
$558$	0.174765	−	0.455279i	0.00739840	−	0.0192735i
$559$	−4.34900	+	13.3849i	−0.183943	+	0.566119i
$560$	−3.35024	−	4.87605i	−0.141573	−	0.206051i
$561$	4.74150	+	14.5928i	0.200186	+	0.616109i
$562$	−17.0330	−	0.892663i	−0.718495	−	0.0376547i
$563$	−8.51137	+	13.1064i	−0.358711	+	0.552367i	−0.971246	−	0.238076i	$-0.923483\pi$
$563$	−8.51137	+	13.1064i	−0.358711	+	0.552367i	0.612535	+	0.790443i	$0.290150\pi$
$564$	−12.5929	−	11.3387i	−0.530258	−	0.477447i
$565$	−4.77381	−	17.5570i	−0.200836	−	0.738628i
$566$	−13.4325	−	4.36450i	−0.564612	−	0.183453i
$567$	18.2816	+	0.548657i	0.767755	+	0.0230414i
$568$	0.536152	+	0.536152i	0.0224964	+	0.0224964i
$569$	−3.68868	−	8.28492i	−0.154638	−	0.347322i	0.819569	−	0.572981i	$-0.194213\pi$
$569$	−3.68868	−	8.28492i	−0.154638	−	0.347322i	−0.974206	+	0.225659i	$0.927546\pi$
$570$	24.5691	+	10.8306i	1.02909	+	0.453642i
$571$	18.5806	+	8.27264i	0.777576	+	0.346199i	0.756852	−	0.653586i	$-0.226736\pi$
$571$	18.5806	+	8.27264i	0.777576	+	0.346199i	0.0207238	+	0.999785i	$0.493403\pi$
$572$	6.67930	−	8.24825i	0.279276	−	0.344877i
$573$	24.1205	+	12.2900i	1.00765	+	0.513422i
$574$	3.76575	+	10.7648i	0.157180	+	0.449312i
$575$	6.17454	+	37.2071i	0.257496	+	1.55165i
$576$	0.291284	−	0.504519i	0.0121368	−	0.0210216i
$577$	−8.60548	+	0.450994i	−0.358251	+	0.0187751i	−0.230613	−	0.973046i	$-0.574073\pi$
$577$	−8.60548	+	0.450994i	−0.358251	+	0.0187751i	−0.127638	+	0.991821i	$0.540740\pi$
$578$	−1.70891	−	4.45187i	−0.0710814	−	0.185173i
$579$	−3.76551	−	35.8264i	−0.156489	−	1.48889i
$580$	−0.0756819	−	20.5322i	−0.00314252	−	0.852552i
$581$	−4.96391	−	21.0300i	−0.205938	−	0.872471i
$582$	2.22359	−	2.22359i	0.0921707	−	0.0921707i
$583$	12.3763	+	4.75080i	0.512572	+	0.196758i
$584$	−4.89576	+	1.04062i	−0.202588	+	0.0430614i
$585$	−2.65343	+	4.11908i	−0.109706	+	0.170303i
$586$	5.34141	−	25.1294i	0.220652	−	1.03808i
$587$	−25.2636	+	12.8725i	−1.04274	+	0.531303i	−0.889524	−	0.456889i	$-0.848964\pi$
$587$	−25.2636	+	12.8725i	−1.04274	+	0.531303i	−0.153218	+	0.988192i	$0.548964\pi$
$588$	−1.05487	−	10.8324i	−0.0435022	−	0.446722i
$589$	6.14857	−	1.99779i	0.253347	−	0.0823175i
$590$	−9.19868	−	14.0511i	−0.378704	−	0.578473i
$591$	−4.51995	−	21.2647i	−0.185926	−	0.874713i
$592$	1.81952	+	2.24692i	0.0747818	+	0.0923479i
$593$	−4.47352	−	16.6954i	−0.183706	−	0.685598i	−0.994904	−	0.100827i	$-0.967851\pi$
$593$	−4.47352	−	16.6954i	−0.183706	−	0.685598i	0.811198	−	0.584771i	$-0.198816\pi$
$594$	−12.7159	−	9.23864i	−0.521740	−	0.379066i
$595$	−17.6431	+	10.8084i	−0.723295	+	0.443100i
$596$	5.13890	−	3.73363i	0.210497	−	0.152935i
$597$	6.41706	+	5.19643i	0.262633	+	0.212676i
$598$	−1.48490	−	28.3336i	−0.0607221	−	1.15865i
$599$	10.5527	−	6.09260i	0.431171	−	0.248937i	−0.268674	−	0.963231i	$-0.586585\pi$
$599$	10.5527	−	6.09260i	0.431171	−	0.248937i	0.699846	+	0.714294i	$0.253252\pi$
$600$	0.869583	+	7.72526i	0.0355006	+	0.315382i
$601$			30.6377i			1.24974i	0.780730	+	0.624868i	$0.214847\pi$
$601$			30.6377i			1.24974i	−0.780730	+	0.624868i	$0.785153\pi$
$602$	1.32966	−	9.80983i	0.0541927	−	0.399819i
$603$	−1.17312	−	0.185804i	−0.0477732	−	0.00756653i
$604$	9.77608	−	1.02751i	0.397783	−	0.0418087i
$605$	−6.75799	−	0.685118i	−0.274751	−	0.0278540i
$606$	−1.61678	+	15.3827i	−0.0656774	+	0.624879i
$607$	37.1160	−	9.94519i	1.50649	−	0.403663i	0.591222	−	0.806509i	$-0.298646\pi$
$607$	37.1160	−	9.94519i	1.50649	−	0.403663i	0.915268	+	0.402846i	$0.131979\pi$
$608$	7.62796	−	1.20815i	0.309355	−	0.0489970i
$609$	18.1504	−	33.1262i	0.735490	−	1.34234i
$610$	26.1640	−	4.24288i	1.05935	−	0.171789i
$611$	40.0979	+	8.52308i	1.62219	+	0.344807i
$612$	−1.70874	−	1.10967i	−0.0690718	−	0.0448557i
$613$	2.48049	+	1.61085i	0.100186	+	0.0650615i	0.593760	−	0.804642i	$-0.297643\pi$
$613$	2.48049	+	1.61085i	0.100186	+	0.0650615i	−0.493574	+	0.869704i	$0.664310\pi$
$614$	−5.52643	−	1.17468i	−0.223029	−	0.0474062i
$615$	2.28976	−	14.8101i	0.0923319	−	0.597199i
$616$	−3.58735	+	6.54726i	−0.144538	+	0.263797i
$617$	30.2184	−	4.78612i	1.21655	−	0.192682i	0.485025	−	0.874500i	$-0.338810\pi$
$617$	30.2184	−	4.78612i	1.21655	−	0.192682i	0.731522	+	0.681818i	$0.238810\pi$
$618$	−0.487213	+	0.130548i	−0.0195986	+	0.00525142i
$619$	0.302945	−	2.88233i	0.0121764	−	0.115851i	−0.986745	−	0.162276i	$-0.948116\pi$
$619$	0.302945	−	2.88233i	0.0121764	−	0.115851i	0.998922	+	0.0464257i	$0.0147831\pi$
$620$	1.39564	+	1.24736i	0.0560503	+	0.0500950i
$621$	−41.7870	+	4.39199i	−1.67686	+	0.176245i
$622$	18.0102	+	2.85253i	0.722142	+	0.114376i
$623$	−5.21716	+	38.4908i	−0.209021	+	1.54210i
$624$		−	5.84815i		−	0.234113i
$625$	17.0004	+	18.3300i	0.680014	+	0.733199i
$626$	12.2351	−	7.06394i	0.489013	−	0.282332i
$627$	−1.77331	−	33.8367i	−0.0708190	−	1.35131i
$628$	2.84247	+	2.30179i	0.113427	+	0.0918513i
$629$	8.18052	−	5.94350i	0.326179	−	0.236983i
$630$	1.31936	−	3.18399i	0.0525646	−	0.126853i
$631$	25.5900	+	18.5922i	1.01872	+	0.740144i	0.966020	−	0.258467i	$-0.0832173\pi$
$631$	25.5900	+	18.5922i	1.01872	+	0.740144i	0.0527001	+	0.998610i	$0.483217\pi$
$632$	−3.99151	−	14.8965i	−0.158774	−	0.592552i
$633$	−9.41650	−	11.6284i	−0.374272	−	0.462188i
$634$	−1.44946	−	6.81916i	−0.0575653	−	0.270823i
$635$	−0.303079	+	0.377105i	−0.0120273	+	0.0149650i
$636$	6.94710	−	2.25725i	0.275470	−	0.0895057i
$637$	15.3127	+	21.4185i	0.606711	+	0.848634i
$638$	−23.0861	+	11.7630i	−0.913989	+	0.465701i
$639$	−0.0918394	+	0.432070i	−0.00363311	+	0.0170924i
$640$	1.41360	+	1.73255i	0.0558774	+	0.0684851i
$641$	−20.7033	+	4.40062i	−0.817731	+	0.173814i	−0.597742	−	0.801688i	$-0.703935\pi$
$641$	−20.7033	+	4.40062i	−0.817731	+	0.173814i	−0.219989	+	0.975502i	$0.570602\pi$
$642$	17.8617	+	6.85645i	0.704944	+	0.270603i
$643$	26.2804	−	26.2804i	1.03640	−	1.03640i	0.0370857	−	0.999312i	$-0.488193\pi$
$643$	26.2804	−	26.2804i	1.03640	−	1.03640i	0.999312	−	0.0370857i	$-0.0118075\pi$
$644$	4.58476	+	19.4237i	0.180665	+	0.765400i
$645$	−7.60737	+	10.5522i	−0.299540	+	0.415494i
$646$	−2.82333	−	26.8622i	−0.111082	−	1.05688i
$647$	−5.39964	−	14.0666i	−0.212282	−	0.553013i	0.785552	−	0.618796i	$-0.212379\pi$
$647$	−5.39964	−	14.0666i	−0.212282	−	0.553013i	−0.997834	+	0.0657822i	$0.979046\pi$
$648$	−6.90344	+	0.361794i	−0.271193	+	0.0142126i
$649$	−10.5965	+	18.3538i	−0.415951	+	0.720448i
$650$	−11.1661	−	15.1330i	−0.437972	−	0.593565i
$651$	1.13706	+	3.25039i	0.0445650	+	0.127393i
$652$	−11.1618	−	5.68722i	−0.437130	−	0.222729i
$653$	−16.4974	+	20.3726i	−0.645595	+	0.797243i	−0.989923	−	0.141606i	$-0.954773\pi$
$653$	−16.4974	+	20.3726i	−0.645595	+	0.797243i	0.344328	+	0.938849i	$0.388107\pi$
$654$	−16.0721	−	7.15575i	−0.628468	−	0.279812i
$655$	41.1819	−	8.91227i	1.60911	−	0.348231i
$656$	−1.75322	−	3.93781i	−0.0684519	−	0.153746i
$657$	−2.06180	−	2.06180i	−0.0804386	−	0.0804386i
$658$	−28.8224	−	0.865000i	−1.12361	−	0.0337212i
$659$	10.3364	+	3.35849i	0.402648	+	0.130828i	0.503338	−	0.864089i	$-0.332105\pi$
$659$	10.3364	+	3.35849i	0.402648	+	0.130828i	−0.100690	+	0.994918i	$0.532105\pi$
$660$	8.20781	−	5.37333i	0.319489	−	0.209157i
$661$	33.0224	+	29.7335i	1.28442	+	1.15650i	0.978906	+	0.204312i	$0.0654957\pi$
$661$	33.0224	+	29.7335i	1.28442	+	1.15650i	0.305516	+	0.952187i	$0.401171\pi$
$662$	9.35452	−	14.4047i	0.363574	−	0.559855i
$663$	−20.4250	−	1.07043i	−0.793239	−	0.0415719i
$664$	2.52375	+	7.76729i	0.0979404	+	0.301429i
$665$	43.8104	−	12.9707i	1.69889	−	0.502983i
$666$	−0.520492	+	1.60191i	−0.0201687	+	0.0620728i
$667$	−24.8220	+	64.6636i	−0.961113	+	2.50379i
$668$	−16.2780	−	4.36168i	−0.629816	−	0.168759i
$669$	−1.13610	−	0.119409i	−0.0439241	−	0.00461661i
$670$	2.26489	−	3.95651i	0.0875003	−	0.152853i
$671$	−19.6604	−	27.0602i	−0.758980	−	1.04465i
$672$	0.734185	+	4.04759i	0.0283218	+	0.156139i
$673$	21.6731	−	42.5359i	0.835438	−	1.63964i	0.0687358	−	0.997635i	$-0.478103\pi$
$673$	21.6731	−	42.5359i	0.835438	−	1.63964i	0.766702	−	0.642004i	$-0.221897\pi$
$674$	−0.404940	−	0.233792i	−0.0155977	−	0.00900534i
$675$	−21.5145	+	17.6863i	−0.828095	+	0.680747i
$676$	0.573800	+	0.993850i	0.0220692	+	0.0382250i
$677$	−21.4427	−	33.0189i	−0.824111	−	1.26902i	−0.960476	−	0.278362i	$-0.910209\pi$
$677$	−21.4427	−	33.0189i	−0.824111	−	1.26902i	0.136365	−	0.990659i	$-0.456458\pi$
$678$	−1.97908	+	12.4954i	−0.0760060	+	0.479883i
$679$	0.440229	−	5.33294i	0.0168944	−	0.204659i
$680$	6.30977	−	4.61994i	0.241968	−	0.177167i
$681$	24.2272	−	10.7866i	0.928388	−	0.413345i
$682$	0.611354	−	2.28161i	0.0234100	−	0.0873672i
$683$	−19.9356	+	16.1435i	−0.762814	+	0.617715i	−0.929724	−	0.368257i	$-0.879955\pi$
$683$	−19.9356	+	16.1435i	−0.762814	+	0.617715i	0.166910	+	0.985972i	$0.446621\pi$
$684$	3.01055	+	3.34356i	0.115111	+	0.127844i
$685$	−1.18079	−	1.17211i	−0.0451155	−	0.0447841i
$686$	−13.2870	−	12.9017i	−0.507302	−	0.492590i
$687$	−7.66996	−	15.0531i	−0.292627	−	0.574313i
$688$	−0.195824	+	3.73655i	−0.00746572	+	0.142454i
$689$	−11.8242	+	13.1321i	−0.450467	+	0.500294i
$690$	6.69415	−	25.3564i	0.254842	−	0.965301i
$691$	−0.367660	+	0.331042i	−0.0139864	+	0.0125934i	−0.676094	−	0.736815i	$-0.736329\pi$
$691$	−0.367660	+	0.331042i	−0.0139864	+	0.0125934i	0.662108	+	0.749409i	$0.269662\pi$
$692$	−1.03227	−	6.51751i	−0.0392411	−	0.247759i
$693$	−4.33711	+	0.324662i	−0.164753	+	0.0123329i
$694$	−3.61576	+	4.97666i	−0.137252	+	0.188912i
$695$	−3.80407	+	0.414006i	−0.144297	+	0.0157042i
$696$	−5.80688	+	13.0425i	−0.220109	+	0.494374i
$697$	−14.0739	+	5.40246i	−0.533087	+	0.204633i
$698$	−0.913322	+	0.593118i	−0.0345697	+	0.0224498i
$699$	−12.3065			−0.465474
$700$	9.62806	+	9.07196i	0.363907	+	0.342888i
$701$	20.1822			0.762273			0.381136	−	0.924519i	$-0.375533\pi$
$701$	20.1822			0.762273			0.381136	+	0.924519i	$0.375533\pi$
$702$	17.5713	−	11.4109i	0.663187	−	0.430678i
$703$	−20.8461	+	8.00208i	−0.786227	+	0.301804i
$704$	1.14771	−	2.57779i	0.0432558	−	0.0971542i
$705$	32.8844	+	18.8245i	1.23850	+	0.708972i
$706$	−9.06924	+	12.4827i	−0.341325	+	0.469794i
$707$	14.8249	+	21.7480i	0.557548	+	0.817918i
$708$	1.82678	+	11.5338i	0.0686546	+	0.433468i
$709$	9.52701	−	8.57816i	0.357794	−	0.322159i	−0.470556	−	0.882370i	$-0.655947\pi$
$709$	9.52701	−	8.57816i	0.357794	−	0.322159i	0.828350	+	0.560211i	$0.189280\pi$
$710$	−1.42533	−	0.918167i	−0.0534916	−	0.0344582i
$711$	6.01172	−	6.67669i	0.225457	−	0.250396i
$712$	0.768353	−	14.6610i	0.0287952	−	0.549446i
$713$	−2.86670	−	5.62621i	−0.107359	−	0.210703i
$714$	14.2708	−	1.82332i	0.534071	−	0.0682360i
$715$	−10.6963	+	21.1854i	−0.400020	+	0.792289i
$716$	−16.7290	−	18.5795i	−0.625194	−	0.694348i
$717$	−2.01866	+	1.63468i	−0.0753883	+	0.0610483i
$718$	−2.04915	+	7.64752i	−0.0764735	+	0.285403i
$719$	18.1029	−	8.05991i	0.675122	−	0.300584i	−0.0403899	−	0.999184i	$-0.512860\pi$
$719$	18.1029	−	8.05991i	0.675122	−	0.300584i	0.715512	+	0.698600i	$0.246193\pi$
$720$	−0.397975	+	1.24038i	−0.0148317	+	0.0462263i
$721$	−0.488855	+	0.705496i	−0.0182059	+	0.0262741i
$722$	−6.35834	+	40.1450i	−0.236633	+	1.49404i
$723$	11.5468	+	17.7805i	0.429430	+	0.661264i
$724$	−5.60636	−	9.71049i	−0.208359	−	0.360888i
$725$	9.87637	+	44.8368i	0.366799	+	1.66520i
$726$	4.09035	+	2.36157i	0.151807	+	0.0876459i
$727$	0.976909	−	1.91729i	0.0362316	−	0.0711085i	−0.872181	−	0.489183i	$-0.837295\pi$
$727$	0.976909	−	1.91729i	0.0362316	−	0.0711085i	0.908413	+	0.418075i	$0.137295\pi$
$728$	−6.43404	−	7.59186i	−0.238461	−	0.281373i
$729$	−17.6389	−	24.2779i	−0.653292	−	0.899180i
$730$	10.2074	−	4.58977i	0.377792	−	0.169875i
$731$	13.0142	+	1.36785i	0.481348	+	0.0505918i
$732$	−17.8023	−	4.77011i	−0.657992	−	0.176308i
$733$	9.98640	−	26.0155i	0.368856	−	0.960903i	−0.616034	−	0.787720i	$-0.711261\pi$
$733$	9.98640	−	26.0155i	0.368856	−	0.960903i	0.984890	−	0.173183i	$-0.0554052\pi$
$734$	1.87138	−	5.75950i	0.0690737	−	0.212587i
$735$	7.42874	+	23.1751i	0.274013	+	0.854826i
$736$	−2.33098	−	7.17401i	−0.0859210	−	0.264438i
$737$	−5.74511	−	0.301089i	−0.211624	−	0.0110907i
$738$	1.36767	−	2.10602i	0.0503445	−	0.0775237i
$739$	15.9394	+	14.3519i	0.586340	+	0.527943i	0.908032	−	0.418902i	$-0.137585\pi$
$739$	15.9394	+	14.3519i	0.586340	+	0.527943i	−0.321692	+	0.946844i	$0.604252\pi$
$740$	−5.03923	−	4.05002i	−0.185246	−	0.148882i
$741$	42.9550	+	13.9569i	1.57799	+	0.512720i
$742$	6.53509	−	10.5734i	0.239911	−	0.388160i
$743$	14.5338	+	14.5338i	0.533194	+	0.533194i	0.921522	−	0.388327i	$-0.126947\pi$
$743$	14.5338	+	14.5338i	0.533194	+	0.533194i	−0.388327	+	0.921522i	$0.626947\pi$
$744$	−0.529382	−	1.18901i	−0.0194081	−	0.0435913i
$745$	−9.46507	+	10.5903i	−0.346773	+	0.387997i
$746$	−6.66117	−	2.96574i	−0.243883	−	0.108584i
$747$	−2.99421	+	3.69754i	−0.109552	+	0.135286i
$748$	−8.79299	−	4.48025i	−0.321504	−	0.163814i
$749$	30.7307	−	10.7503i	1.12288	−	0.392808i
$750$	−5.55422	−	16.4721i	−0.202811	−	0.601476i
$751$	−1.99057	+	3.44776i	−0.0726368	+	0.125811i	−0.900056	−	0.435774i	$-0.856475\pi$
$751$	−1.99057	+	3.44776i	−0.0726368	+	0.125811i	0.827419	+	0.561585i	$0.189808\pi$
$752$	10.8838	−	0.570396i	0.396892	−	0.0208002i
$753$	0.899411	+	2.34305i	0.0327764	+	0.0853853i
$754$	−3.61018	−	34.3485i	−0.131475	−	1.25090i
$755$	−20.8794	+	6.86932i	−0.759880	+	0.250000i
$756$	−10.7288	+	10.1036i	−0.390204	+	0.367465i
$757$	0.299719	−	0.299719i	0.0108935	−	0.0108935i	−0.701639	−	0.712533i	$-0.747548\pi$
$757$	0.299719	−	0.299719i	0.0108935	−	0.0108935i	0.712533	+	0.701639i	$0.247548\pi$
$758$	21.4264	+	8.22482i	0.778241	+	0.298739i
$759$	−32.3709	+	6.88065i	−1.17499	+	0.249752i
$760$	−16.0993	+	6.24813i	−0.583984	+	0.226644i
$761$	−8.81315	+	41.4626i	−0.319476	+	1.50302i	0.466366	+	0.884592i	$0.345563\pi$
$761$	−8.81315	+	41.4626i	−0.319476	+	1.50302i	−0.785843	+	0.618427i	$0.787770\pi$
$762$	0.299738	−	0.152724i	0.0108583	−	0.00553261i
$763$	−28.7368	+	8.39289i	−1.04034	+	0.303843i
$764$	−16.5590	+	5.38035i	−0.599084	+	0.194654i
$765$	4.25925	+	1.61698i	0.153993	+	0.0584622i
$766$	2.62367	+	12.3434i	0.0947970	+	0.445985i
$767$	−17.7783	−	21.9544i	−0.641937	−	0.792726i
$768$	−0.402414	−	1.50183i	−0.0145209	−	0.0541926i
$769$	−19.2276	−	13.9696i	−0.693364	−	0.503758i	0.184400	−	0.982851i	$-0.440966\pi$
$769$	−19.2276	−	13.9696i	−0.693364	−	0.503758i	−0.877764	+	0.479093i	$0.840966\pi$
$770$	4.74344	−	16.0056i	0.170942	−	0.576801i
$771$	−19.0642	+	13.8509i	−0.686579	+	0.498829i
$772$	18.0059	+	14.5809i	0.648046	+	0.524777i
$773$	1.44576	+	27.5867i	0.0520003	+	0.992225i	0.892680	+	0.450692i	$0.148823\pi$
$773$	1.44576	+	27.5867i	0.0520003	+	0.992225i	−0.840679	+	0.541533i	$0.817844\pi$
$774$	−1.88775	+	1.08989i	−0.0678536	+	0.0391753i
$775$	−3.64009	−	2.06598i	−0.130756	−	0.0742122i
$776$			2.02252i			0.0726042i
$777$	−4.50943	−	11.0055i	−0.161775	−	0.394821i
$778$	25.3122	+	4.00905i	0.907485	+	0.143732i
$779$	33.1076	−	3.47974i	1.18620	−	0.124675i
$780$	2.76596	+	12.7810i	0.0990373	+	0.457633i
$781$	−0.223643	+	2.12782i	−0.00800258	+	0.0761394i
$782$	−25.4822	+	6.82794i	−0.911243	+	0.244167i
$783$	−50.5178	+	8.00123i	−1.80536	+	0.285941i
$784$	5.40619	+	4.44670i	0.193078	+	0.158811i
$785$	−7.30081	−	3.68612i	−0.260577	−	0.131563i
$786$	−28.6578	−	6.09139i	−1.02219	−	0.217273i
$787$	20.0023	+	12.9896i	0.713004	+	0.463030i	0.849485	−	0.527612i	$-0.176913\pi$
$787$	20.0023	+	12.9896i	0.713004	+	0.463030i	−0.136481	+	0.990643i	$0.543579\pi$
$788$	11.7265	+	7.61529i	0.417740	+	0.271283i
$789$	11.3183	+	2.40578i	0.402942	+	0.0856479i
$790$	15.7689	+	30.6682i	0.561031	+	1.09112i
$791$	11.1781	+	18.3984i	0.397446	+	0.654173i
$792$	1.62362	−	0.257156i	0.0576928	−	0.00913765i
$793$	43.0666	−	11.5397i	1.52934	−	0.409785i
$794$	−2.02128	+	19.2312i	−0.0717326	+	0.682490i
$795$	−14.1151	+	8.21889i	−0.500612	+	0.291494i
$796$	−5.28166	+	0.555125i	−0.187204	+	0.0196759i
$797$	46.7652	+	7.40688i	1.65651	+	0.262365i	0.913477	−	0.406891i	$-0.133387\pi$
$797$	46.7652	+	7.40688i	1.65651	+	0.262365i	0.743032	+	0.669256i	$0.233387\pi$
$798$	−31.4819	−	4.26716i	−1.11445	−	0.151056i
$799$		−	38.1166i		−	1.34847i
$800$	−3.90882	−	3.11787i	−0.138198	−	0.110233i
$801$	7.40693	−	4.27639i	0.261711	−	0.151099i
$802$	0.587834	+	11.2165i	0.0207571	+	0.396070i
$803$	−10.9758	−	8.88802i	−0.387327	−	0.313651i
$804$	−2.56455	+	1.86325i	−0.0904447	+	0.0657119i
$805$	−19.2066	−	40.2815i	−0.676943	−	1.41974i
$806$	2.54729	+	1.85071i	0.0897244	+	0.0651886i
$807$	−6.57894	−	24.5529i	−0.231590	−	0.864304i
$808$	−6.26055	−	7.73113i	−0.220245	−	0.271980i
$809$	3.17959	+	14.9588i	0.111788	+	0.525924i	0.998032	+	0.0627042i	$0.0199725\pi$
$809$	3.17959	+	14.9588i	0.111788	+	0.525924i	−0.886244	+	0.463219i	$0.846694\pi$
$810$	14.9162	−	4.05576i	0.524101	−	0.142505i
$811$	−13.0785	+	4.24947i	−0.459249	+	0.149219i	−0.529499	−	0.848310i	$-0.677620\pi$
$811$	−13.0785	+	4.24947i	−0.459249	+	0.149219i	0.0702506	+	0.997529i	$0.477620\pi$
$812$	6.81082	+	23.3199i	0.239013	+	0.818369i
$813$	0.770935	−	0.392811i	0.0270379	−	0.0137765i
$814$	−1.69622	+	7.98008i	−0.0594524	+	0.279702i
$815$	27.0837	+	7.15016i	0.948700	+	0.250459i
$816$	−5.31887	+	1.13056i	−0.186198	+	0.0395776i
$817$	−26.9778	−	10.3558i	−0.943833	−	0.362303i
$818$	−8.91392	+	8.91392i	−0.311668	+	0.311668i
$819$	1.66780	−	5.55238i	0.0582777	−	0.194016i
$820$	5.69407	+	7.77677i	0.198846	+	0.271577i
$821$	−4.28741	−	40.7920i	−0.149632	−	1.42365i	−0.769350	−	0.638827i	$-0.779420\pi$
$821$	−4.28741	−	40.7920i	−0.149632	−	1.42365i	0.619719	−	0.784824i	$-0.287247\pi$
$822$	0.414584	+	1.08003i	0.0144603	+	0.0376703i
$823$	−46.9806	+	2.46215i	−1.63764	+	0.0858252i	−0.848781	−	0.528745i	$-0.822663\pi$
$823$	−46.9806	+	2.46215i	−1.63764	+	0.0858252i	−0.788862	+	0.614570i	$0.789329\pi$
$824$	0.162206	−	0.280949i	0.00565072	−	0.00978734i
$825$	−15.3966	+	15.6253i	−0.536040	+	0.544003i
$826$	15.0608	+	12.9630i	0.524032	+	0.451041i
$827$	2.56356	+	1.30620i	0.0891436	+	0.0454209i	0.497994	−	0.867181i	$-0.334070\pi$
$827$	2.56356	+	1.30620i	0.0891436	+	0.0454209i	−0.408850	+	0.912601i	$0.634070\pi$
$828$	2.76550	−	3.41511i	0.0961079	−	0.118683i
$829$	47.9900	+	21.3665i	1.66676	+	0.742091i	0.999995	−	0.00317516i	$-0.00101069\pi$
$829$	47.9900	+	21.3665i	1.66676	+	0.742091i	0.666768	+	0.745266i	$0.267677\pi$
$830$	−9.18924	−	15.7816i	−0.318963	−	0.547787i
$831$	16.2137	+	36.4165i	0.562446	+	1.26327i
$832$	2.65966	+	2.65966i	0.0922072	+	0.0922072i
$833$	16.5199	−	18.0675i	0.572379	−	0.626000i
$834$	2.53049	+	0.822205i	0.0876236	+	0.0284706i
$835$	37.6382	+	1.83344i	1.30252	+	0.0634489i
$836$	16.1950	+	14.5820i	0.560114	+	0.504329i
$837$	2.53957	−	3.91059i	0.0877802	−	0.135170i
$838$	0.361012	+	0.0189198i	0.0124709	+	0.000653574i
$839$	−8.92005	−	27.4531i	−0.307954	−	0.947786i	−0.978558	−	0.205970i	$-0.933965\pi$
$839$	−8.92005	−	27.4531i	−0.307954	−	0.947786i	0.670604	−	0.741815i	$-0.266035\pi$
$840$	−3.51891	−	8.49867i	−0.121414	−	0.293232i
$841$	−17.0933	+	52.6078i	−0.589424	+	1.81406i
$842$	−11.2558	+	29.3223i	−0.387899	+	1.01051i
$843$	−25.6158	−	6.86374i	−0.882256	−	0.236400i
$844$	9.57095	+	1.00595i	0.329446	+	0.0346261i
$845$	−1.72408	−	1.90065i	−0.0593102	−	0.0653843i
$846$	3.73200	+	5.13666i	0.128309	+	0.176602i
$847$	7.90811	−	1.43444i	0.271726	−	0.0492878i
$848$	−2.13288	+	4.18602i	−0.0732434	+	0.143748i
$849$	−19.0178	−	10.9799i	−0.652688	−	0.376830i
$850$	−11.6048	+	13.0811i	−0.398041	+	0.448677i
$851$	10.9046	+	18.8874i	0.373806	+	0.647451i
$852$	0.642080	+	0.988716i	0.0219973	+	0.0338729i
$853$	−0.762744	+	4.81577i	−0.0261158	+	0.164889i	−0.997299	−	0.0734440i	$-0.976601\pi$
$853$	−0.762744	+	4.81577i	−0.0261158	+	0.164889i	0.971183	+	0.238333i	$0.0766010\pi$
$854$	−28.3583	+	13.3934i	−0.970402	+	0.458313i
$855$	−8.16087	−	5.88338i	−0.279096	−	0.201208i
$856$	−11.2415	+	5.00503i	−0.384226	+	0.171068i
$857$	−7.29525	+	27.2262i	−0.249201	+	0.930030i	0.722024	+	0.691868i	$0.243212\pi$
$857$	−7.29525	+	27.2262i	−0.249201	+	0.930030i	−0.971225	+	0.238163i	$0.923455\pi$
$858$	12.8245	−	10.3850i	0.437820	−	0.354539i
$859$	−15.7243	−	17.4636i	−0.536505	−	0.595850i	0.412559	−	0.910931i	$-0.364635\pi$
$859$	−15.7243	−	17.4636i	−0.536505	−	0.595850i	−0.949065	+	0.315081i	$0.897968\pi$
$860$	−1.33928	−	8.25875i	−0.0456691	−	0.281621i
$861$	2.24724	+	17.5887i	0.0765856	+	0.599422i
$862$	3.20142	+	6.28314i	0.109041	+	0.214004i
$863$	−1.25346	+	23.9175i	−0.0426683	+	0.814160i	0.890558	+	0.454870i	$0.150314\pi$
$863$	−1.25346	+	23.9175i	−0.0426683	+	0.814160i	−0.933226	+	0.359290i	$0.883019\pi$
$864$	3.72720	−	4.13947i	0.126802	−	0.140828i
$865$	5.33855	+	13.7556i	0.181516	+	0.467706i
$866$	0.963714	−	0.867732i	0.0327483	−	0.0294867i
$867$	−1.15985	−	7.32298i	−0.0393904	−	0.248701i
$868$	−1.99536	−	0.961116i	−0.0677268	−	0.0326224i
$869$	25.5786	−	35.2060i	0.867696	−	1.19428i
$870$	6.52219	−	31.2505i	0.221123	−	1.05949i
$871$	3.11911	−	7.00564i	0.105687	−	0.237377i
$872$	10.5637	−	4.05503i	0.357732	−	0.137321i
$873$	−0.988168	+	0.641724i	−0.0334444	+	0.0217191i
$874$	58.2565			1.97055
$875$	−25.3326	−	15.2728i	−0.856398	−	0.516316i
$876$	−7.78202			−0.262930
$877$	19.4544	−	12.6338i	0.656929	−	0.426614i	−0.172666	−	0.984980i	$-0.555238\pi$
$877$	19.4544	−	12.6338i	0.656929	−	0.426614i	0.829595	+	0.558366i	$0.188571\pi$
$878$	22.9208	−	8.79845i	0.773538	−	0.296933i
$879$	16.2468	−	36.4909i	0.547990	−	1.23081i
$880$	−1.28908	+	6.17653i	−0.0434550	+	0.208211i
$881$	−24.6533	+	33.9323i	−0.830590	+	1.14321i	0.157223	+	0.987563i	$0.449746\pi$
$881$	−24.6533	+	33.9323i	−0.830590	+	1.14321i	−0.987813	+	0.155645i	$0.950254\pi$
$882$	−0.457257	+	4.05226i	−0.0153966	+	0.136447i
$883$	3.71574	+	23.4603i	0.125045	+	0.789501i	0.967895	+	0.251353i	$0.0808756\pi$
$883$	3.71574	+	23.4603i	0.125045	+	0.789501i	−0.842851	+	0.538147i	$0.819124\pi$
$884$	9.77581	−	8.80218i	0.328796	−	0.296049i
$885$	−9.44747	−	24.3429i	−0.317573	−	0.818278i
$886$	0.695212	−	0.772111i	0.0233561	−	0.0259396i
$887$	−1.10919	+	21.1646i	−0.0372429	+	0.710636i	0.914658	+	0.404229i	$0.132460\pi$
$887$	−1.10919	+	21.1646i	−0.0372429	+	0.710636i	−0.951901	+	0.306407i	$0.900873\pi$
$888$	2.04084	+	4.00537i	0.0684861	+	0.134412i
$889$	0.221084	−	0.528027i	0.00741493	−	0.0177095i
$890$	5.25492	+	32.4048i	0.176145	+	1.08621i
$891$	−13.0524	−	14.4961i	−0.437271	−	0.485639i
$892$	0.570988	−	0.462377i	0.0191181	−	0.0154815i
$893$	−21.7852	+	81.3034i	−0.729013	+	2.72071i
$894$	9.02235	−	4.01701i	0.301752	−	0.134349i
$895$	45.3483	+	32.6928i	1.51583	+	1.09280i
$896$	−2.17469	−	1.50689i	−0.0726513	−	0.0503418i
$897$	6.90091	−	43.5707i	0.230415	−	1.45478i
$898$	−7.62453	−	11.7408i	−0.254434	−	0.391794i
$899$	−3.84328	−	6.65675i	−0.128180	−	0.222015i
$900$	0.283111	−	2.89905i	0.00943703	−	0.0966350i
$901$	14.2295	+	8.21539i	0.474052	+	0.273694i
$902$	5.52190	−	10.8373i	0.183859	−	0.360844i
$903$	5.19334	−	14.4893i	0.172824	−	0.482173i
$904$	−4.78269	−	6.58280i	−0.159070	−	0.218941i
$905$	16.8453	+	18.5704i	0.559956	+	0.617303i
$906$	15.1999	+	1.59758i	0.504984	+	0.0530760i
$907$	−38.8096	−	10.3990i	−1.28865	−	0.345293i	−0.451503	−	0.892269i	$-0.649112\pi$
$907$	−38.8096	−	10.3990i	−1.28865	−	0.345293i	−0.837148	+	0.546976i	$0.815779\pi$
$908$	−6.11259	+	15.9238i	−0.202853	+	0.528451i
$909$	1.79089	−	5.51180i	0.0594002	−	0.182815i
$910$	17.6521	+	13.5488i	0.585162	+	0.449137i
$911$	3.82341	+	11.7672i	0.126675	+	0.389866i	0.994203	−	0.107523i	$-0.0342921\pi$
$911$	3.82341	+	11.7672i	0.126675	+	0.389866i	−0.867527	+	0.497389i	$0.834292\pi$
$912$	11.9914	+	0.628443i	0.397075	+	0.0208098i
$913$	−12.5513	+	19.3274i	−0.415389	+	0.639642i
$914$	8.89058	+	8.00512i	0.294074	+	0.264786i
$915$	41.1626	+	2.00513i	1.36079	+	0.0662874i
$916$	10.3342	+	3.35777i	0.341450	+	0.110944i
$917$	−43.9041	+	23.6212i	−1.44984	+	0.780039i
$918$	−13.7751	−	13.7751i	−0.454646	−	0.454646i
$919$	−19.6023	−	44.0275i	−0.646620	−	1.45233i	−0.877610	−	0.479376i	$-0.840863\pi$
$919$	−19.6023	−	44.0275i	−0.646620	−	1.45233i	0.230990	−	0.972956i	$-0.425804\pi$
$920$	8.48734	+	14.5762i	0.279819	+	0.480562i
$921$	−8.02504	−	3.57298i	−0.264434	−	0.117734i
$922$	4.82024	−	5.95250i	0.158746	−	0.196035i
$923$	−2.54112	−	1.29477i	−0.0836420	−	0.0426177i
$924$	−7.57224	+	8.79764i	−0.249108	+	0.289421i
$925$	12.9286	+	6.46786i	0.425091	+	0.212662i
$926$	9.97423	−	17.2759i	0.327774	−	0.567721i
$927$	0.188733	−	0.00989110i	0.00619882	−	0.000324866i
$928$	−3.29065	−	8.57244i	−0.108021	−	0.281404i
$929$	5.01508	+	47.7153i	0.164540	+	1.56549i	0.695772	+	0.718263i	$0.255062\pi$
$929$	5.01508	+	47.7153i	0.164540	+	1.56549i	−0.531232	+	0.847226i	$0.678271\pi$
$930$	1.71931	+	2.34818i	0.0563785	+	0.0769998i
$931$	−45.5634	+	29.0964i	−1.49328	+	0.953597i
$932$	5.59682	−	5.59682i	0.183330	−	0.183330i
$933$	26.4683	+	10.1602i	0.866534	+	0.332631i
$934$	−31.5559	+	6.70741i	−1.03254	+	0.219473i
$935$	21.3359	+	5.63272i	0.697758	+	0.184210i
$936$	−0.455583	+	2.14335i	−0.0148912	+	0.0700575i
$937$	−7.60837	+	3.87666i	−0.248555	+	0.126645i	−0.573830	−	0.818974i	$-0.694543\pi$
$937$	−7.60837	+	3.87666i	−0.248555	+	0.126645i	0.325275	+	0.945619i	$0.394543\pi$
$938$	−1.27929	+	5.24029i	−0.0417702	+	0.171101i
$939$	20.8911	−	6.78792i	0.681754	−	0.221515i
$940$	−23.5165	+	6.39423i	−0.767024	+	0.208557i
$941$	−11.2770	−	53.0543i	−0.367621	−	1.72952i	−0.640934	−	0.767596i	$-0.721453\pi$
$941$	−11.2770	−	53.0543i	−0.367621	−	1.72952i	0.273313	−	0.961925i	$-0.411880\pi$
$942$	3.57884	+	4.41950i	0.116605	+	0.143995i
$943$	−8.41543	−	31.4068i	−0.274044	−	1.02275i
$944$	−6.07623	−	4.41464i	−0.197764	−	0.143684i
$945$	18.6689	−	27.1555i	0.607301	−	0.883370i
$946$	−8.54164	+	6.20586i	−0.277713	+	0.201770i
$947$	−16.4915	−	13.3546i	−0.535902	−	0.433965i	0.322779	−	0.946474i	$-0.395383\pi$
$947$	−16.4915	−	13.3546i	−0.535902	−	0.433965i	−0.858682	+	0.512509i	$0.828716\pi$
$948$	−1.25493	−	23.9454i	−0.0407581	−	0.777711i
$949$	16.3037	−	9.41297i	0.529242	−	0.305558i
$950$	32.2295	−	21.2695i	1.04566	−	0.690075i
$951$		−	10.8394i		−	0.351490i
$952$	−5.66095	+	7.31939i	−0.183472	+	0.237223i
$953$	−45.9802	−	7.28255i	−1.48945	−	0.235905i	−0.641966	−	0.766733i	$-0.721881\pi$
$953$	−45.9802	−	7.28255i	−1.48945	−	0.235905i	−0.847480	+	0.530828i	$0.821881\pi$
$954$	−2.72196	+	0.286089i	−0.0881266	+	0.00926248i
$955$	33.6446	−	19.5904i	1.08871	−	0.633932i
$956$	0.174630	−	1.66149i	0.00564793	−	0.0537365i
$957$	−38.9127	+	10.4266i	−1.25787	+	0.337045i
$958$	2.21405	−	0.350671i	0.0715327	−	0.0113297i
$959$	1.72643	+	0.945936i	0.0557492	+	0.0305459i
$960$	1.58978	+	3.09189i	0.0513099	+	0.0997902i
$961$	−29.6371	−	6.29957i	−0.956037	−	0.203212i
$962$	−9.12049	−	5.92291i	−0.294056	−	0.190962i
$963$	−6.01217	−	3.90435i	−0.193740	−	0.125816i
$964$	−13.3377	−	2.83501i	−0.429578	−	0.0913096i
$965$	−46.2476	−	23.3500i	−1.48876	−	0.751664i
$966$	0.693695	+	31.0222i	0.0223193	+	0.998124i
$967$	−40.5135	+	6.41671i	−1.30283	+	0.206347i	−0.769001	−	0.639247i	$-0.779246\pi$
$967$	−40.5135	+	6.41671i	−1.30283	+	0.206347i	−0.533825	+	0.845595i	$0.679246\pi$
$968$	−2.93425	+	0.786229i	−0.0943103	+	0.0252704i
$969$	4.38974	−	41.7655i	0.141019	−	1.34170i
$970$	−0.956577	−	4.42016i	−0.0307138	−	0.141923i
$971$	46.7619	−	4.91488i	1.50066	−	0.157726i	0.681724	−	0.731609i	$-0.261230\pi$
$971$	46.7619	−	4.91488i	1.50066	−	0.157726i	0.818937	+	0.573883i	$0.194564\pi$
$972$	5.88897	+	0.932721i	0.188889	+	0.0299170i
$973$	4.18956	−	1.71664i	0.134311	−	0.0550330i
$974$			11.0876i			0.355269i
$975$	−12.0899	−	26.6244i	−0.387186	−	0.852662i
$976$	10.2656	−	5.92687i	0.328595	−	0.189714i
$977$	−0.467691	−	8.92407i	−0.0149628	−	0.285506i	−0.995855	−	0.0909547i	$-0.971008\pi$
$977$	−0.467691	−	8.92407i	−0.0149628	−	0.285506i	0.980892	−	0.194552i	$-0.0623252\pi$
$978$	−15.1368	−	12.2575i	−0.484020	−	0.391952i
$979$	33.5147	−	24.3499i	1.07114	−	0.778226i
$980$	−13.9182	−	7.16123i	−0.444601	−	0.228757i
$981$	5.33297	+	3.87463i	0.170269	+	0.123707i
$982$	8.75339	+	32.6681i	0.279332	+	1.04248i
$983$	−21.2206	−	26.2052i	−0.676831	−	0.835817i	0.316801	−	0.948492i	$-0.397391\pi$
$983$	−21.2206	−	26.2052i	−0.676831	−	0.835817i	−0.993632	+	0.112675i	$0.964058\pi$
$984$	−1.39341	−	6.55550i	−0.0444204	−	0.208982i
$985$	−29.2298	−	11.0968i	−0.931338	−	0.353574i
$986$	−30.5420	+	9.92369i	−0.972655	+	0.316035i
$987$	−43.5544	−	10.6327i	−1.38635	−	0.338444i
$988$	−25.8828	+	13.1879i	−0.823441	+	0.419564i
$989$	−5.86814	+	27.6074i	−0.186596	+	0.877865i
$990$	−3.42676	+	1.32992i	−0.108910	+	0.0422677i
$991$	16.2946	−	3.46353i	0.517616	−	0.110023i	0.0583060	−	0.998299i	$-0.481430\pi$
$991$	16.2946	−	3.46353i	0.517616	−	0.110023i	0.459310	+	0.888276i	$0.348097\pi$
$992$	0.781503	+	0.299991i	0.0248128	+	0.00952473i
$993$	18.8832	−	18.8832i	0.599240	−	0.599240i
$994$	1.92129	+	0.577111i	0.0609398	+	0.0183048i
$995$	11.2804	−	3.71125i	0.357613	−	0.117654i
$996$	1.32732	+	12.6286i	0.0420577	+	0.400152i
$997$	−13.7633	−	35.8546i	−0.435887	−	1.13553i	−0.959036	−	0.283284i	$-0.908576\pi$
$997$	−13.7633	−	35.8546i	−0.435887	−	1.13553i	0.523149	−	0.852241i	$-0.324757\pi$
$998$	44.1533	−	2.31398i	1.39765	−	0.0732477i
$999$	−8.05243	+	13.9472i	−0.254767	+	0.441270i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.x.a.33.4	✓	320
7.3	odd	6	inner	350.2.x.a.283.4	yes	320
25.22	odd	20	inner	350.2.x.a.47.4	yes	320
175.122	even	60	inner	350.2.x.a.297.4	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.x.a.33.4	✓	320	1.1	even	1	trivial
350.2.x.a.47.4	yes	320	25.22	odd	20	inner
350.2.x.a.283.4	yes	320	7.3	odd	6	inner
350.2.x.a.297.4	yes	320	175.122	even	60	inner

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.838671 + 0.544639i) q^{2} +(-1.45154 + 0.557194i) q^{3} +(0.406737 - 0.913545i) q^{4} +(-0.456839 + 2.18890i) q^{5} +(0.913894 - 1.25787i) q^{6} +(-0.197500 - 2.63837i) q^{7} +(0.156434 + 0.987688i) q^{8} +(-0.432933 + 0.389814i) q^{9} +(-0.809024 - 2.08458i) q^{10} +(-1.88812 + 2.09696i) q^{11} +(-0.0813724 + 1.55268i) q^{12} +(-1.70761 - 3.35137i) q^{13} +(1.60260 + 2.10516i) q^{14} +(-0.556523 - 3.43183i) q^{15} +(-0.669131 - 0.743145i) q^{16} +(-2.71795 + 2.20095i) q^{17} +(0.150780 - 0.562718i) q^{18} +(7.05535 - 3.14125i) q^{19} +(1.81385 + 1.30765i) q^{20} +(1.75676 + 3.71965i) q^{21} +(0.441418 - 2.78700i) q^{22} +(-4.10832 - 6.32626i) q^{23} +(-0.777405 - 1.34650i) q^{24} +(-4.58260 - 1.99995i) q^{25} +(3.25741 + 1.88066i) q^{26} +(2.52882 - 4.96309i) q^{27} +(-2.49060 - 0.892697i) q^{28} +(-5.39724 - 7.42866i) q^{29} +(2.33585 + 2.57507i) q^{30} +(0.832518 + 0.0875011i) q^{31} +(0.965926 + 0.258819i) q^{32} +(1.57226 - 4.09587i) q^{33} +(1.08074 - 3.32617i) q^{34} +(5.86536 + 0.773004i) q^{35} +(0.180024 + 0.554055i) q^{36} +(-2.88728 - 0.151316i) q^{37} +(-4.20627 + 6.47709i) q^{38} +(4.34602 + 3.91318i) q^{39} +(-2.23342 - 0.108795i) q^{40} +(4.09950 + 1.33201i) q^{41} +(-3.49921 - 2.16276i) q^{42} +(-2.64576 - 2.64576i) q^{43} +(1.14771 + 2.57779i) q^{44} +(-0.655485 - 1.12573i) q^{45} +(6.89106 + 3.06810i) q^{46} +(-6.85880 + 8.46991i) q^{47} +(1.38535 + 0.705869i) q^{48} +(-6.92199 + 1.04215i) q^{49} +(4.93254 - 0.818557i) q^{50} +(2.71885 - 4.70919i) q^{51} +(-3.75617 + 0.196853i) q^{52} +(-1.68364 - 4.38603i) q^{53} +(0.582246 + 5.53970i) q^{54} +(-3.72749 - 5.09088i) q^{55} +(2.57499 - 0.607800i) q^{56} +(-8.49084 + 8.49084i) q^{57} +(8.57244 + 3.29065i) q^{58} +(7.34651 - 1.56155i) q^{59} +(-3.36149 - 0.887441i) q^{60} +(-2.46453 + 11.5947i) q^{61} +(-0.745865 + 0.380037i) q^{62} +(1.11398 + 1.06525i) q^{63} +(-0.951057 + 0.309017i) q^{64} +(8.11593 - 2.20675i) q^{65} +(0.912166 + 4.29140i) q^{66} +(1.28306 + 1.58445i) q^{67} +(0.905179 + 3.37817i) q^{68} +(9.48834 + 6.89368i) q^{69} +(-5.34011 + 2.54621i) q^{70} +(0.613424 - 0.445679i) q^{71} +(-0.452741 - 0.366622i) q^{72} +(0.261948 + 4.99827i) q^{73} +(2.50389 - 1.44562i) q^{74} +(7.76618 + 0.349620i) q^{75} -7.72304i q^{76} +(5.90547 + 4.56740i) q^{77} +(-5.77615 - 0.914852i) q^{78} +(-15.3375 + 1.61204i) q^{79} +(1.93236 - 1.12516i) q^{80} +(-0.722596 + 6.87504i) q^{81} +(-4.16359 + 1.11563i) q^{82} +(8.06647 - 1.27760i) q^{83} +(4.11261 - 0.0919630i) q^{84} +(-3.57600 - 6.95480i) q^{85} +(3.65991 + 0.777938i) q^{86} +(11.9735 + 7.77568i) q^{87} +(-2.36651 - 1.53683i) q^{88} +(-14.3603 - 3.05239i) q^{89} +(1.16285 + 0.587114i) q^{90} +(-8.50490 + 5.16719i) q^{91} +(-7.45033 + 1.18002i) q^{92} +(-1.25719 + 0.336862i) q^{93} +(1.13923 - 10.8390i) q^{94} +(3.65272 + 16.8785i) q^{95} +(-1.54629 + 0.162522i) q^{96} +(1.99762 + 0.316392i) q^{97} +(5.23767 - 4.64401i) q^{98} -1.64386i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) 320 * q + 12 * q^5 - 8 * q^7 + 12 * q^10 - 16 * q^15 - 40 * q^16 + 36 * q^17 + 8 * q^18 - 72 * q^22 + 44 * q^23 - 12 * q^25 - 24 * q^28 - 80 * q^29 + 20 * q^30 - 48 * q^33 - 28 * q^35 + 80 * q^36 - 4 * q^37 - 24 * q^38 - 40 * q^39 - 36 * q^42 + 88 * q^43 - 228 * q^45 - 12 * q^47 + 32 * q^50 - 52 * q^53 + 152 * q^57 + 32 * q^58 - 120 * q^59 - 8 * q^60 + 136 * q^63 + 8 * q^65 - 32 * q^67 - 144 * q^68 + 92 * q^70 + 8 * q^72 + 12 * q^73 - 432 * q^75 + 144 * q^77 - 16 * q^78 + 12 * q^80 - 40 * q^81 - 192 * q^82 + 60 * q^84 - 24 * q^85 + 24 * q^87 + 4 * q^88 - 300 * q^89 - 8 * q^92 - 68 * q^93 + 20 * q^95 - 40 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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