LMFDB - Embedded newform 483.2.r.a.475.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(34,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 9]))

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

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

chi := DirichletCharacter("483.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.r (of order $22$, degree $10$, 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:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$32$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			475.20
Character	$\chi$	$=$	483.475
Dual form			483.2.r.a.181.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0752500 - 0.523375i) q^{2} +(0.909632 - 0.415415i) q^{3} +(1.65073 + 0.484697i) q^{4} +(-1.76629 - 2.03840i) q^{5} +(-0.148968 - 0.507339i) q^{6} +(0.0392510 - 2.64546i) q^{7} +(0.817203 - 1.78943i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})$	\(q+(0.0752500 - 0.523375i) q^{2} +(0.909632 - 0.415415i) q^{3} +(1.65073 + 0.484697i) q^{4} +(-1.76629 - 2.03840i) q^{5} +(-0.148968 - 0.507339i) q^{6} +(0.0392510 - 2.64546i) q^{7} +(0.817203 - 1.78943i) q^{8} +(0.654861 - 0.755750i) q^{9} +(-1.19976 + 0.771041i) q^{10} +(-2.70050 + 0.388273i) q^{11} +(1.70290 - 0.244841i) q^{12} +(-0.411813 - 0.640793i) q^{13} +(-1.38162 - 0.219614i) q^{14} +(-2.45345 - 1.12046i) q^{15} +(2.01956 + 1.29790i) q^{16} +(-0.483157 + 0.141868i) q^{17} +(-0.346262 - 0.399608i) q^{18} +(0.0399038 + 0.0117168i) q^{19} +(-1.92765 - 4.22096i) q^{20} +(-1.06326 - 2.42270i) q^{21} +1.44259i q^{22} +(-3.73829 + 3.00420i) q^{23} -1.96720i q^{24} +(-0.323746 + 2.25170i) q^{25} +(-0.366364 + 0.167313i) q^{26} +(0.281733 - 0.959493i) q^{27} +(1.34704 - 4.34791i) q^{28} +(3.79441 - 1.11414i) q^{29} +(-0.771041 + 1.19976i) q^{30} +(5.71157 + 2.60838i) q^{31} +(3.40774 - 3.93274i) q^{32} +(-2.29517 + 1.47501i) q^{33} +(0.0378924 + 0.263548i) q^{34} +(-5.46184 + 4.59263i) q^{35} +(1.44731 - 0.930127i) q^{36} +(4.10731 + 3.55900i) q^{37} +(0.00913506 - 0.0200030i) q^{38} +(-0.640793 - 0.411813i) q^{39} +(-5.09099 + 1.49485i) q^{40} +(5.63279 - 4.88084i) q^{41} +(-1.34799 + 0.374176i) q^{42} +(8.94510 - 4.08509i) q^{43} +(-4.64598 - 0.667991i) q^{44} -2.69719 q^{45} +(1.29102 + 2.18259i) q^{46} -0.346933i q^{47} +(2.37623 + 0.341650i) q^{48} +(-6.99692 - 0.207674i) q^{49} +(1.15412 + 0.338881i) q^{50} +(-0.380561 + 0.329758i) q^{51} +(-0.369200 - 1.25738i) q^{52} +(-1.27514 + 1.98415i) q^{53} +(-0.480975 - 0.219654i) q^{54} +(5.56131 + 4.81891i) q^{55} +(-4.70178 - 2.23212i) q^{56} +(0.0411651 - 0.00591865i) q^{57} +(-0.297583 - 2.06974i) q^{58} +(3.76908 + 5.86481i) q^{59} +(-3.50690 - 3.03875i) q^{60} +(-4.33678 + 9.49623i) q^{61} +(1.79496 - 2.79301i) q^{62} +(-1.97360 - 1.76207i) q^{63} +(1.34233 + 1.54913i) q^{64} +(-0.578816 + 1.97127i) q^{65} +(0.599275 + 1.31223i) q^{66} +(-12.8470 - 1.84712i) q^{67} -0.866322 q^{68} +(-2.15248 + 4.28565i) q^{69} +(1.99267 + 3.20419i) q^{70} +(-0.383436 + 2.66686i) q^{71} +(-0.817203 - 1.78943i) q^{72} +(2.43056 - 8.27772i) q^{73} +(2.17177 - 1.88185i) q^{74} +(0.640901 + 2.18271i) q^{75} +(0.0601912 + 0.0386825i) q^{76} +(0.921164 + 7.15930i) q^{77} +(-0.263752 + 0.304386i) q^{78} +(0.221838 + 0.345187i) q^{79} +(-0.921496 - 6.40914i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-2.13064 - 3.31535i) q^{82} +(8.16416 - 9.42195i) q^{83} +(-0.580876 - 4.51458i) q^{84} +(1.14258 + 0.734289i) q^{85} +(-1.46492 - 4.98905i) q^{86} +(2.98868 - 2.58971i) q^{87} +(-1.51207 + 5.14964i) q^{88} +(2.18387 + 4.78201i) q^{89} +(-0.202964 + 1.41165i) q^{90} +(-1.71136 + 1.06428i) q^{91} +(-7.62702 + 3.14717i) q^{92} +6.27898 q^{93} +(-0.181576 - 0.0261067i) q^{94} +(-0.0465980 - 0.102035i) q^{95} +(1.46607 - 4.99297i) q^{96} +(0.138876 + 0.160271i) q^{97} +(-0.635210 + 3.64639i) q^{98} +(-1.47501 + 2.29517i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	$ 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) $ 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{17}{22}\right)$

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 $

$2$	0.0752500	−	0.523375i	0.0532098	−	0.370082i	−0.945767	−	0.324847i	$-0.894687\pi$
$2$	0.0752500	−	0.523375i	0.0532098	−	0.370082i	0.998976	−	0.0452352i	$-0.0144037\pi$
$3$	0.909632	−	0.415415i	0.525176	−	0.239840i
$3$	0.909632	−	0.415415i	0.525176	−	0.239840i
$4$	1.65073	+	0.484697i	0.825363	+	0.242349i
$5$	−1.76629	−	2.03840i	−0.789907	−	0.911602i	0.207875	−	0.978155i	$-0.433345\pi$
$5$	−1.76629	−	2.03840i	−0.789907	−	0.911602i	−0.997783	+	0.0665536i	$0.978800\pi$
$6$	−0.148968	−	0.507339i	−0.0608160	−	0.207120i
$7$	0.0392510	−	2.64546i	0.0148355	−	0.999890i
$7$	0.0392510	−	2.64546i	0.0148355	−	0.999890i
$8$	0.817203	−	1.78943i	0.288925	−	0.632657i
$9$	0.654861	−	0.755750i	0.218287	−	0.251917i
$10$	−1.19976	+	0.771041i	−0.379398	+	0.243825i
$11$	−2.70050	+	0.388273i	−0.814231	+	0.117069i	−0.536835	−	0.843687i	$-0.680380\pi$
$11$	−2.70050	+	0.388273i	−0.814231	+	0.117069i	−0.277396	+	0.960756i	$0.589471\pi$
$12$	1.70290	−	0.244841i	0.491586	−	0.0706794i
$13$	−0.411813	−	0.640793i	−0.114216	−	0.177724i	0.779439	−	0.626478i	$-0.215504\pi$
$13$	−0.411813	−	0.640793i	−0.114216	−	0.177724i	−0.893655	+	0.448754i	$0.851868\pi$
$14$	−1.38162	−	0.219614i	−0.369252	−	0.0586943i
$15$	−2.45345	−	1.12046i	−0.633479	−	0.289300i
$16$	2.01956	+	1.29790i	0.504891	+	0.324474i
$17$	−0.483157	+	0.141868i	−0.117183	+	0.0344079i	−0.339798	−	0.940498i	$-0.610359\pi$
$17$	−0.483157	+	0.141868i	−0.117183	+	0.0344079i	0.222615	+	0.974906i	$0.428541\pi$
$18$	−0.346262	−	0.399608i	−0.0816148	−	0.0941885i
$19$	0.0399038	+	0.0117168i	0.00915457	+	0.00268802i	0.286307	−	0.958138i	$-0.407572\pi$
$19$	0.0399038	+	0.0117168i	0.00915457	+	0.00268802i	−0.277152	+	0.960826i	$0.589391\pi$
$20$	−1.92765	−	4.22096i	−0.431035	−	0.943836i
$21$	−1.06326	−	2.42270i	−0.232022	−	0.528677i
$22$			1.44259i			0.307562i
$23$	−3.73829	+	3.00420i	−0.779487	+	0.626418i
$23$	−3.73829	+	3.00420i	−0.779487	+	0.626418i
$24$		−	1.96720i		−	0.401552i
$25$	−0.323746	+	2.25170i	−0.0647492	+	0.450340i
$26$	−0.366364	+	0.167313i	−0.0718499	+	0.0328128i
$27$	0.281733	−	0.959493i	0.0542195	−	0.184655i
$28$	1.34704	−	4.34791i	0.254567	−	0.821677i
$29$	3.79441	−	1.11414i	0.704603	−	0.206890i	0.0902476	−	0.995919i	$-0.471234\pi$
$29$	3.79441	−	1.11414i	0.704603	−	0.206890i	0.614356	+	0.789029i	$0.289416\pi$
$30$	−0.771041	+	1.19976i	−0.140772	+	0.219046i
$31$	5.71157	+	2.60838i	1.02583	+	0.468480i	0.855990	−	0.516992i	$-0.172948\pi$
$31$	5.71157	+	2.60838i	1.02583	+	0.468480i	0.169837	+	0.985472i	$0.445676\pi$
$32$	3.40774	−	3.93274i	0.602409	−	0.695217i
$33$	−2.29517	+	1.47501i	−0.399537	+	0.256767i
$34$	0.0378924	+	0.263548i	0.00649850	+	0.0451981i
$35$	−5.46184	+	4.59263i	−0.923220	+	0.776296i
$36$	1.44731	−	0.930127i	0.241218	−	0.155021i
$37$	4.10731	+	3.55900i	0.675238	+	0.585097i	0.923501	−	0.383596i	$-0.125314\pi$
$37$	4.10731	+	3.55900i	0.675238	+	0.585097i	−0.248263	+	0.968693i	$0.579860\pi$
$38$	0.00913506	−	0.0200030i	0.00148190	−	0.00324491i
$39$	−0.640793	−	0.411813i	−0.102609	−	0.0659428i
$40$	−5.09099	+	1.49485i	−0.804956	+	0.236356i
$41$	5.63279	−	4.88084i	0.879694	−	0.762259i	−0.0926782	−	0.995696i	$-0.529543\pi$
$41$	5.63279	−	4.88084i	0.879694	−	0.762259i	0.972372	+	0.233437i	$0.0749973\pi$
$42$	−1.34799	+	0.374176i	−0.208000	+	0.0577366i
$43$	8.94510	−	4.08509i	1.36412	−	0.622971i	0.407201	−	0.913339i	$-0.366505\pi$
$43$	8.94510	−	4.08509i	1.36412	−	0.622971i	0.956915	+	0.290368i	$0.0937777\pi$
$44$	−4.64598	−	0.667991i	−0.700408	−	0.100703i
$45$	−2.69719			−0.402074
$46$	1.29102	+	2.18259i	0.190350	+	0.321806i
$47$		−	0.346933i		−	0.0506054i	−0.999680	−	0.0253027i	$-0.991945\pi$
$47$		−	0.346933i		−	0.0506054i	0.999680	−	0.0253027i	$-0.00805497\pi$
$48$	2.37623	+	0.341650i	0.342979	+	0.0493129i
$49$	−6.99692	−	0.207674i	−0.999560	−	0.0296677i
$50$	1.15412	+	0.338881i	0.163218	+	0.0479251i
$51$	−0.380561	+	0.329758i	−0.0532892	+	0.0461753i
$52$	−0.369200	−	1.25738i	−0.0511988	−	0.174367i
$53$	−1.27514	+	1.98415i	−0.175154	+	0.272545i	−0.917720	−	0.397228i	$-0.869972\pi$
$53$	−1.27514	+	1.98415i	−0.175154	+	0.272545i	0.742566	+	0.669773i	$0.233608\pi$
$54$	−0.480975	−	0.219654i	−0.0654524	−	0.0298911i
$55$	5.56131	+	4.81891i	0.749887	+	0.649781i
$56$	−4.70178	−	2.23212i	−0.628301	−	0.298279i
$57$	0.0411651	−	0.00591865i	0.00545246	−	0.000783945i
$58$	−0.297583	−	2.06974i	−0.0390746	−	0.271770i
$59$	3.76908	+	5.86481i	0.490693	+	0.763533i	0.994988	−	0.0999988i	$-0.0318839\pi$
$59$	3.76908	+	5.86481i	0.490693	+	0.763533i	−0.504295	+	0.863532i	$0.668248\pi$
$60$	−3.50690	−	3.03875i	−0.452739	−	0.392301i
$61$	−4.33678	+	9.49623i	−0.555268	+	1.21587i	0.399010	+	0.916947i	$0.369354\pi$
$61$	−4.33678	+	9.49623i	−0.555268	+	1.21587i	−0.954278	+	0.298921i	$0.903373\pi$
$62$	1.79496	−	2.79301i	0.227960	−	0.354713i
$63$	−1.97360	−	1.76207i	−0.248650	−	0.222000i
$64$	1.34233	+	1.54913i	0.167791	+	0.193642i
$65$	−0.578816	+	1.97127i	−0.0717932	+	0.244505i
$66$	0.599275	+	1.31223i	0.0737656	+	0.161524i
$67$	−12.8470	−	1.84712i	−1.56951	−	0.225661i	−0.698020	−	0.716078i	$-0.745936\pi$
$67$	−12.8470	−	1.84712i	−1.56951	−	0.225661i	−0.871488	+	0.490417i	$0.836845\pi$
$68$	−0.866322			−0.105057
$69$	−2.15248	+	4.28565i	−0.259128	+	0.515932i
$70$	1.99267	+	3.20419i	0.238169	+	0.382974i
$71$	−0.383436	+	2.66686i	−0.0455055	+	0.316498i	0.954337	+	0.298733i	$0.0965640\pi$
$71$	−0.383436	+	2.66686i	−0.0455055	+	0.316498i	−0.999842	+	0.0177645i	$0.994345\pi$
$72$	−0.817203	−	1.78943i	−0.0963083	−	0.210886i
$73$	2.43056	−	8.27772i	0.284475	−	0.968834i	−0.685994	−	0.727608i	$-0.740632\pi$
$73$	2.43056	−	8.27772i	0.284475	−	0.968834i	0.970469	−	0.241226i	$-0.0775496\pi$
$74$	2.17177	−	1.88185i	0.252463	−	0.218761i
$75$	0.640901	+	2.18271i	0.0740049	+	0.252038i
$76$	0.0601912	+	0.0386825i	0.00690441	+	0.00443719i
$77$	0.921164	+	7.15930i	0.104976	+	0.815878i
$78$	−0.263752	+	0.304386i	−0.0298641	+	0.0344650i
$79$	0.221838	+	0.345187i	0.0249588	+	0.0388366i	0.853509	−	0.521078i	$-0.174470\pi$
$79$	0.221838	+	0.345187i	0.0249588	+	0.0388366i	−0.828550	+	0.559915i	$0.810834\pi$
$80$	−0.921496	−	6.40914i	−0.103026	−	0.716564i
$81$	−0.142315	−	0.989821i	−0.0158128	−	0.109980i
$82$	−2.13064	−	3.31535i	−0.235290	−	0.366119i
$83$	8.16416	−	9.42195i	0.896133	−	1.03419i	−0.103085	−	0.994672i	$-0.532872\pi$
$83$	8.16416	−	9.42195i	0.896133	−	1.03419i	0.999219	−	0.0395204i	$-0.0125830\pi$
$84$	−0.580876	−	4.51458i	−0.0633787	−	0.492581i
$85$	1.14258	+	0.734289i	0.123930	+	0.0796448i
$86$	−1.46492	−	4.98905i	−0.157966	−	0.537983i
$87$	2.98868	−	2.58971i	0.320420	−	0.277646i
$88$	−1.51207	+	5.14964i	−0.161187	+	0.548954i
$89$	2.18387	+	4.78201i	0.231490	+	0.506892i	0.989356	−	0.145518i	$-0.0464850\pi$
$89$	2.18387	+	4.78201i	0.231490	+	0.506892i	−0.757866	+	0.652411i	$0.773758\pi$
$90$	−0.202964	+	1.41165i	−0.0213943	+	0.148800i
$91$	−1.71136	+	1.06428i	−0.179399	+	0.111567i
$92$	−7.62702	+	3.14717i	−0.795172	+	0.328115i
$93$	6.27898			0.651100
$94$	−0.181576	−	0.0261067i	−0.0187282	−	0.00269271i
$95$	−0.0465980	−	0.102035i	−0.00478085	−	0.0104686i
$96$	1.46607	−	4.99297i	0.149630	−	0.509593i
$97$	0.138876	+	0.160271i	0.0141007	+	0.0162731i	0.762756	−	0.646686i	$-0.223846\pi$
$97$	0.138876	+	0.160271i	0.0141007	+	0.0162731i	−0.748655	+	0.662959i	$0.769300\pi$
$98$	−0.635210	+	3.64639i	−0.0641659	+	0.368341i
$99$	−1.47501	+	2.29517i	−0.148244	+	0.230673i
$100$	−1.62581	+	3.56003i	−0.162581	+	0.356003i
$101$	12.2123	+	10.5820i	1.21517	+	1.05295i	0.997029	+	0.0770293i	$0.0245435\pi$
$101$	12.2123	+	10.5820i	1.21517	+	1.05295i	0.218137	+	0.975918i	$0.430002\pi$
$102$	0.143950	+	0.223990i	0.0142532	+	0.0221784i
$103$	0.935789	+	6.50856i	0.0922060	+	0.641307i	0.982547	+	0.186013i	$0.0595567\pi$
$103$	0.935789	+	6.50856i	0.0922060	+	0.641307i	−0.890341	+	0.455294i	$0.849534\pi$
$104$	−1.48319	+	0.213250i	−0.145438	+	0.0209109i
$105$	−3.06042	+	6.44654i	−0.298666	+	0.629118i
$106$	0.942503	+	0.816684i	0.0915440	+	0.0793233i
$107$	−1.75185	−	0.800042i	−0.169358	−	0.0773430i	0.328932	−	0.944353i	$-0.393311\pi$
$107$	−1.75185	−	0.800042i	−0.169358	−	0.0773430i	−0.498290	+	0.867010i	$0.666038\pi$
$108$	0.930127	−	1.44731i	0.0895015	−	0.139267i
$109$	1.76274	+	6.00333i	0.168840	+	0.575015i	0.999825	+	0.0187203i	$0.00595919\pi$
$109$	1.76274	+	6.00333i	0.168840	+	0.575015i	−0.830985	+	0.556295i	$0.812223\pi$
$110$	2.94059	−	2.54803i	0.280374	−	0.242945i
$111$	5.21461	+	1.53115i	0.494948	+	0.145330i
$112$	3.51280	−	5.29173i	0.331928	−	0.500022i
$113$	−7.23377	−	1.04006i	−0.680496	−	0.0978405i	−0.206605	−	0.978424i	$-0.566242\pi$
$113$	−7.23377	−	1.04006i	−0.680496	−	0.0978405i	−0.473890	+	0.880584i	$0.657151\pi$
$114$		−	0.0219902i		−	0.00205957i
$115$	12.7267	+	2.31387i	1.18677	+	0.215769i
$116$	6.80355			0.631693
$117$	−0.753959	−	0.108403i	−0.0697036	−	0.0100219i
$118$	3.35312	−	1.53132i	0.308680	−	0.140969i
$119$	0.356341	+	1.28374i	0.0326657	+	0.117680i
$120$	−4.00994	+	3.47463i	−0.366056	+	0.317189i
$121$	−3.41248	+	1.00199i	−0.310226	+	0.0910905i
$122$	4.64375	+	2.98436i	0.420425	+	0.270191i
$123$	3.09619	−	6.77971i	0.279174	−	0.611306i
$124$	8.16396	+	7.07411i	0.733145	+	0.635274i
$125$	−6.18342	+	3.97384i	−0.553061	+	0.355431i
$126$	−1.07074	+	0.900338i	−0.0953890	+	0.0802085i
$127$	1.19758	+	8.32934i	0.106268	+	0.739109i	0.971380	+	0.237531i	$0.0763380\pi$
$127$	1.19758	+	8.32934i	0.106268	+	0.739109i	−0.865112	+	0.501578i	$0.832753\pi$
$128$	9.66715	−	6.21270i	0.854464	−	0.549131i
$129$	6.43974	−	7.43186i	0.566988	−	0.654339i
$130$	0.988156	+	0.451276i	0.0866670	+	0.0395795i
$131$	−6.84641	+	10.6532i	−0.598174	+	0.930776i	0.401714	+	0.915765i	$0.368415\pi$
$131$	−6.84641	+	10.6532i	−0.598174	+	0.930776i	−0.999887	+	0.0150111i	$0.995222\pi$
$132$	−4.50363	+	1.32238i	−0.391990	+	0.115099i
$133$	0.0325626	−	0.105104i	0.00282354	−	0.00911368i
$134$	−1.93347	+	6.58480i	−0.167026	+	0.568840i
$135$	−2.45345	+	1.12046i	−0.211160	+	0.0964334i
$136$	−0.140976	+	0.980507i	−0.0120886	+	0.0840778i
$137$		−	1.92949i		−	0.164847i	−0.996597	−	0.0824236i	$-0.973734\pi$
$137$		−	1.92949i		−	0.164847i	0.996597	−	0.0824236i	$-0.0262661\pi$
$138$	2.08103	+	1.44905i	0.177149	+	0.123351i
$139$			20.5104i			1.73967i	0.493342	+	0.869835i	$0.335775\pi$
$139$			20.5104i			1.73967i	−0.493342	+	0.869835i	$0.664225\pi$
$140$	−11.2420	+	4.93384i	−0.950126	+	0.416986i
$141$	−0.144121	−	0.315582i	−0.0121372	−	0.0265768i
$142$	1.36691	+	0.401362i	0.114709	+	0.0336815i
$143$	1.36090	+	1.57057i	0.113804	+	0.131337i
$144$	2.30342	−	0.676344i	0.191951	−	0.0563620i
$145$	−8.97307	−	5.76664i	−0.745173	−	0.478894i
$146$	−4.14946	−	1.89499i	−0.343411	−	0.156831i
$147$	−6.45089	+	2.71772i	−0.532061	+	0.224154i
$148$	5.05501	+	7.86575i	0.415519	+	0.646560i
$149$	5.55769	−	0.799076i	0.455304	−	0.0654628i	0.0891523	−	0.996018i	$-0.471584\pi$
$149$	5.55769	−	0.799076i	0.455304	−	0.0654628i	0.366152	+	0.930555i	$0.380675\pi$
$150$	1.19060	−	0.171183i	0.0972124	−	0.0139770i
$151$	−14.4632	+	9.29492i	−1.17700	+	0.756410i	−0.974832	−	0.222941i	$-0.928434\pi$
$151$	−14.4632	+	9.29492i	−1.17700	+	0.756410i	−0.202165	+	0.979351i	$0.564798\pi$
$152$	0.0535759	−	0.0618299i	0.00434558	−	0.00501507i
$153$	−0.209184	+	0.458049i	−0.0169115	+	0.0370311i
$154$	3.81632	+	0.0566232i	0.307528	+	0.00456283i
$155$	−4.77132	−	16.2496i	−0.383242	−	1.30520i
$156$	−0.858170	−	0.990381i	−0.0687086	−	0.0792939i
$157$	10.6268	+	3.12031i	0.848110	+	0.249028i	0.676779	−	0.736186i	$-0.263375\pi$
$157$	10.6268	+	3.12031i	0.848110	+	0.249028i	0.171331	+	0.985214i	$0.445193\pi$
$158$	0.197356	−	0.0901293i	0.0157008	−	0.00717031i
$159$	−0.335659	+	2.33456i	−0.0266195	+	0.185143i
$160$	−14.0356			−1.10961
$161$	7.80075	+	10.0074i	0.614785	+	0.788695i
$162$	−0.528757			−0.0415431
$163$	1.44285	−	10.0353i	0.113013	−	0.786023i	−0.851947	−	0.523627i	$-0.824578\pi$
$163$	1.44285	−	10.0353i	0.113013	−	0.786023i	0.964960	−	0.262395i	$-0.0845125\pi$
$164$	11.6639	−	5.32673i	0.910799	−	0.415948i
$165$	7.06059	+	2.07318i	0.549667	+	0.161397i
$166$	−4.31686	−	4.98192i	−0.335053	−	0.386672i
$167$	−0.726388	−	2.47385i	−0.0562096	−	0.191432i	0.926602	−	0.376043i	$-0.122716\pi$
$167$	−0.726388	−	2.47385i	−0.0562096	−	0.191432i	−0.982812	+	0.184611i	$0.940897\pi$
$168$	−5.20414	−	0.0772144i	−0.401508	−	0.00595722i
$169$	5.15937	−	11.2974i	0.396875	−	0.869034i
$170$	0.470288	−	0.542741i	0.0360694	−	0.0416263i
$171$	0.0349864	−	0.0224844i	0.00267548	−	0.00171943i
$172$	16.7460	−	2.40770i	1.27687	−	0.183586i
$173$	−14.1938	+	2.04076i	−1.07914	+	0.155156i	−0.658879	−	0.752249i	$-0.728969\pi$
$173$	−14.1938	+	2.04076i	−1.07914	+	0.155156i	−0.420257	+	0.907405i	$0.638060\pi$
$174$	−1.13049	−	1.75908i	−0.0857023	−	0.133355i
$175$	5.94408	+	0.944838i	0.449330	+	0.0714231i
$176$	−5.95777	−	2.72082i	−0.449084	−	0.205090i
$177$	5.86481	+	3.76908i	0.440826	+	0.283302i
$178$	2.66712	−	0.783139i	0.199909	−	0.0586987i
$179$	−9.57278	−	11.0476i	−0.715503	−	0.825734i	0.275256	−	0.961371i	$-0.411237\pi$
$179$	−9.57278	−	11.0476i	−0.715503	−	0.825734i	−0.990759	+	0.135637i	$0.956692\pi$
$180$	−4.45233	−	1.30732i	−0.331857	−	0.0974420i
$181$	−6.24410	−	13.6727i	−0.464120	−	1.01628i	−0.986529	−	0.163586i	$-0.947694\pi$
$181$	−6.24410	−	13.6727i	−0.464120	−	1.01628i	0.522409	−	0.852695i	$-0.325034\pi$
$182$	0.428240	+	0.975769i	0.0317432	+	0.0723288i
$183$			10.4396i			0.771720i
$184$	2.32084	+	9.14443i	0.171095	+	0.674136i
$185$		−	14.6586i		−	1.07772i
$186$	0.472494	−	3.28627i	0.0346449	−	0.240961i
$187$	1.24968	−	0.570710i	0.0913857	−	0.0417344i
$188$	0.168158	−	0.572692i	0.0122642	−	0.0417679i
$189$	−2.52724	−	0.782973i	−0.183830	−	0.0569529i
$190$	−0.0569093	+	0.0167101i	−0.00412863	+	0.00121228i
$191$	10.6908	−	16.6352i	0.773557	−	1.20368i	−0.201012	−	0.979589i	$-0.564423\pi$
$191$	10.6908	−	16.6352i	0.773557	−	1.20368i	0.974569	−	0.224089i	$-0.0719406\pi$
$192$	1.86456	+	0.851516i	0.134563	+	0.0614529i
$193$	7.82709	−	9.03294i	0.563406	−	0.650206i	−0.400547	−	0.916276i	$-0.631180\pi$
$193$	7.82709	−	9.03294i	0.563406	−	0.650206i	0.963954	+	0.266071i	$0.0857254\pi$
$194$	0.0943323	−	0.0606237i	0.00677267	−	0.00435253i
$195$	0.292384	+	2.03357i	0.0209380	+	0.145627i
$196$	−11.4493	−	3.73420i	−0.817810	−	0.266729i
$197$	−7.62604	+	4.90096i	−0.543333	+	0.349179i	−0.783341	−	0.621592i	$-0.786486\pi$
$197$	−7.62604	+	4.90096i	−0.543333	+	0.349179i	0.240008	+	0.970771i	$0.422850\pi$
$198$	1.09024	+	0.944697i	0.0774799	+	0.0671367i
$199$	3.01039	−	6.59182i	0.213401	−	0.467282i	−0.772414	−	0.635119i	$-0.780951\pi$
$199$	3.01039	−	6.59182i	0.213401	−	0.467282i	0.985815	+	0.167837i	$0.0536783\pi$
$200$	3.76469	+	2.41942i	0.266204	+	0.171079i
$201$	−12.4533	+	3.65663i	−0.878391	+	0.257919i
$202$	6.45733	−	5.59531i	0.454336	−	0.393684i
$203$	−2.79847	−	10.0817i	−0.196414	−	0.707595i
$204$	−0.788034	+	0.359883i	−0.0551734	+	0.0251969i
$205$	−19.8982	−	2.86093i	−1.38975	−	0.199816i
$206$	3.47684			0.242243
$207$	−0.177639	+	4.79254i	−0.0123467	+	0.333105i
$208$		−	1.82861i		−	0.126792i
$209$	−0.112310	−	0.0161477i	−0.00776862	−	0.00111696i
$210$	3.14366	+	2.08685i	0.216933	+	0.144006i
$211$	−17.0012	−	4.99201i	−1.17041	−	0.343664i	−0.361941	−	0.932201i	$-0.617886\pi$
$211$	−17.0012	−	4.99201i	−1.17041	−	0.343664i	−0.808470	+	0.588537i	$0.799704\pi$
$212$	−3.06662	+	2.65724i	−0.210616	+	0.182500i
$213$	0.759066	+	2.58514i	0.0520104	+	0.177131i
$214$	−0.550549	+	0.856671i	−0.0376348	+	0.0585608i
$215$	−24.1267	−	11.0183i	−1.64543	−	0.751441i
$216$	−1.48671	−	1.28824i	−0.101158	−	0.0876536i
$217$	7.12456	−	15.0073i	0.483647	−	1.01876i
$218$	3.27464	−	0.470822i	0.221787	−	0.0318881i
$219$	−1.22778	−	8.53937i	−0.0829654	−	0.577037i
$220$	6.84450	+	10.6502i	0.461456	+	0.718040i
$221$	0.289878	+	0.251181i	0.0194993	+	0.0168962i
$222$	1.19376	−	2.61398i	0.0801201	−	0.175439i
$223$	6.69005	−	10.4099i	0.447999	−	0.697100i	−0.541651	−	0.840604i	$-0.682201\pi$
$223$	6.69005	−	10.4099i	0.447999	−	0.697100i	0.989650	+	0.143504i	$0.0458369\pi$
$224$	−10.2702	−	9.16940i	−0.686203	−	0.612656i
$225$	1.48971	+	1.71922i	0.0993143	+	0.114615i
$226$	−1.08868	+	3.70771i	−0.0724181	+	0.246633i
$227$	6.59187	+	14.4342i	0.437518	+	0.958030i	0.992047	+	0.125866i	$0.0401710\pi$
$227$	6.59187	+	14.4342i	0.437518	+	0.958030i	−0.554529	+	0.832164i	$0.687102\pi$
$228$	0.0708212	+	0.0101825i	0.00469025	+	0.000674356i
$229$	−19.8868			−1.31416			−0.657079	−	0.753822i	$-0.728208\pi$
$229$	−19.8868			−1.31416			−0.657079	+	0.753822i	$0.728208\pi$
$230$	2.16870	−	6.48670i	0.143000	−	0.427720i
$231$	3.81200	+	6.12967i	0.250811	+	0.403302i
$232$	1.10713	−	7.70028i	0.0726869	−	0.505548i
$233$	3.90516	+	8.55110i	0.255835	+	0.560201i	0.993351	−	0.115129i	$-0.0367283\pi$
$233$	3.90516	+	8.55110i	0.255835	+	0.560201i	−0.737515	+	0.675331i	$0.764001\pi$
$234$	−0.113471	+	0.386446i	−0.00741782	+	0.0252628i
$235$	−0.707190	+	0.612784i	−0.0461320	+	0.0399736i
$236$	3.37907	+	11.5081i	0.219959	+	0.749111i
$237$	0.345187	+	0.221838i	0.0224223	+	0.0144099i
$238$	0.698692	−	0.0898984i	0.0452895	−	0.00582725i
$239$	−7.39539	+	8.53473i	−0.478368	+	0.552066i	−0.942720	−	0.333585i	$-0.891742\pi$
$239$	−7.39539	+	8.53473i	−0.478368	+	0.552066i	0.464352	+	0.885651i	$0.346287\pi$
$240$	−3.50068	−	5.44716i	−0.225968	−	0.351613i
$241$	−3.27761	−	22.7962i	−0.211129	−	1.46844i	−0.769395	−	0.638773i	$-0.779442\pi$
$241$	−3.27761	−	22.7962i	−0.211129	−	1.46844i	0.558266	−	0.829662i	$-0.311467\pi$
$242$	0.267630	+	1.86141i	0.0172039	+	0.119656i
$243$	−0.540641	−	0.841254i	−0.0346821	−	0.0539664i
$244$	−11.7616	+	13.5737i	−0.752962	+	0.868964i
$245$	11.9352	+	14.6294i	0.762515	+	0.934635i
$246$	−3.31535	−	2.13064i	−0.211379	−	0.135845i
$247$	−0.00892485	−	0.0303952i	−0.000567874	−	0.00193400i
$248$	9.33502	−	8.08884i	0.592774	−	0.513642i
$249$	3.51237	−	11.9620i	0.222587	−	0.758062i
$250$	1.61451	+	3.53528i	0.102110	+	0.223591i
$251$	−3.54996	+	24.6905i	−0.224072	+	1.55845i	0.498336	+	0.866984i	$0.333945\pi$
$251$	−3.54996	+	24.6905i	−0.224072	+	1.55845i	−0.722407	+	0.691468i	$0.756964\pi$
$252$	−2.40381	−	3.86530i	−0.151426	−	0.243491i
$253$	8.92880	−	9.56431i	0.561349	−	0.601303i
$254$	4.44949			0.279186
$255$	1.34436	+	0.193290i	0.0841870	+	0.0121043i
$256$	−0.821090	−	1.79794i	−0.0513181	−	0.112371i
$257$	8.22374	−	28.0075i	0.512983	−	1.74706i	−0.140463	−	0.990086i	$-0.544859\pi$
$257$	8.22374	−	28.0075i	0.512983	−	1.74706i	0.653446	−	0.756973i	$-0.273323\pi$
$258$	−3.40506	−	3.92965i	−0.211990	−	0.244649i
$259$	9.57642	−	10.7260i	0.595050	−	0.666483i
$260$	−1.91093	+	2.97347i	−0.118511	+	0.184407i
$261$	1.64280	−	3.59723i	0.101687	−	0.222663i
$262$	5.06044	+	4.38490i	0.312635	+	0.270900i
$263$	14.7498	+	22.9511i	0.909510	+	1.41523i	0.909719	+	0.415225i	$0.136297\pi$
$263$	14.7498	+	22.9511i	0.909510	+	1.41523i	−0.000208419		1.00000i	$0.500066\pi$
$264$	0.763810	+	5.31241i	0.0470093	+	0.326957i
$265$	6.29677	−	0.905338i	0.386807	−	0.0556145i
$266$	−0.0525586	−	0.0249516i	−0.00322257	−	0.00152988i
$267$	3.97304	+	3.44266i	0.243146	+	0.210687i
$268$	−20.3116	−	9.27598i	−1.24073	−	0.566621i
$269$	4.33828	−	6.75049i	0.264509	−	0.411585i	−0.683440	−	0.730007i	$-0.739517\pi$
$269$	4.33828	−	6.75049i	0.264509	−	0.411585i	0.947949	+	0.318423i	$0.103153\pi$
$270$	0.401796	+	1.36839i	0.0244525	+	0.0832777i
$271$	−6.38050	+	5.52874i	−0.387588	+	0.335847i	−0.826759	−	0.562557i	$-0.809818\pi$
$271$	−6.38050	+	5.52874i	−0.387588	+	0.335847i	0.439171	+	0.898404i	$0.355272\pi$
$272$	−1.15990	−	0.340576i	−0.0703290	−	0.0206505i
$273$	−1.11459	+	1.67903i	−0.0674578	+	0.101619i
$274$	−1.00985	−	0.145194i	−0.0610070	−	0.00877149i
$275$		−	6.20642i		−	0.374261i
$276$	−5.63040	+	6.03114i	−0.338910	+	0.363032i
$277$	−21.6609			−1.30148			−0.650739	−	0.759302i	$-0.725541\pi$
$277$	−21.6609			−1.30148			−0.650739	+	0.759302i	$0.725541\pi$
$278$	10.7346	+	1.54341i	0.643821	+	0.0925675i
$279$	5.71157	−	2.60838i	0.341942	−	0.156160i
$280$	3.75474	+	13.5267i	0.224388	+	0.808373i
$281$	16.0910	−	13.9430i	0.959911	−	0.831768i	−0.0258935	−	0.999665i	$-0.508243\pi$
$281$	16.0910	−	13.9430i	0.959911	−	0.831768i	0.985805	+	0.167897i	$0.0536976\pi$
$282$	−0.176013	+	0.0516820i	−0.0104814	+	0.00307762i
$283$	−17.2007	−	11.0542i	−1.02248	−	0.657105i	−0.0818824	−	0.996642i	$-0.526093\pi$
$283$	−17.2007	−	11.0542i	−1.02248	−	0.657105i	−0.940593	+	0.339537i	$0.889730\pi$
$284$	−1.92557	+	4.21640i	−0.114261	+	0.250197i
$285$	−0.0847740	−	0.0734571i	−0.00502158	−	0.00435122i
$286$	0.924403	−	0.594078i	0.0546611	−	0.0351286i
$287$	−12.6910	−	15.0929i	−0.749124	−	0.890905i
$288$	−0.740572	−	5.15079i	−0.0436387	−	0.303513i
$289$	−14.0880	+	9.05381i	−0.828706	+	0.532577i
$290$	−3.69334	+	4.26234i	−0.216881	+	0.250293i
$291$	0.192905	+	0.0880966i	0.0113083	+	0.00516432i
$292$	8.02437	−	12.4862i	0.469591	−	0.730698i
$293$	−2.98957	+	0.877817i	−0.174653	+	0.0512826i	−0.367890	−	0.929869i	$-0.619920\pi$
$293$	−2.98957	+	0.877817i	−0.174653	+	0.0512826i	0.193237	+	0.981152i	$0.438101\pi$
$294$	0.936957	+	3.58075i	0.0546444	+	0.208833i
$295$	5.29756	−	18.0418i	0.308436	−	1.05044i
$296$	9.72508	−	4.44130i	0.565259	−	0.258145i
$297$	−0.388273	+	2.70050i	−0.0225299	+	0.156699i
$298$		−	2.96889i		−	0.171983i
$299$	3.46454	+	1.15830i	0.200360	+	0.0669864i
$300$			3.91370i			0.225958i
$301$	−10.4558	−	23.8243i	−0.602665	−	1.37321i
$302$	3.77638	+	8.26912i	0.217306	+	0.475834i
$303$	15.5046	+	4.55256i	0.890715	+	0.261538i
$304$	0.0653812	+	0.0754539i	0.00374987	+	0.00432758i
$305$	27.0171	−	7.93295i	1.54700	−	0.454239i
$306$	0.223990	+	0.143950i	0.0128047	+	0.00822907i
$307$	9.12608	+	4.16774i	0.520853	+	0.237866i	0.658452	−	0.752622i	$-0.271211\pi$
$307$	9.12608	+	4.16774i	0.520853	+	0.237866i	−0.137599	+	0.990488i	$0.543939\pi$
$308$	−1.94950	+	12.2645i	−0.111083	+	0.698837i
$309$	3.55498	+	5.53165i	0.202235	+	0.314685i
$310$	−8.86370	+	1.27441i	−0.503424	+	0.0723815i
$311$	−26.4381	+	3.80123i	−1.49917	+	0.215548i	−0.842526	−	0.538655i	$-0.818933\pi$
$311$	−26.4381	+	3.80123i	−1.49917	+	0.215548i	−0.656641	+	0.754203i	$0.728023\pi$
$312$	−1.26057	+	0.810117i	−0.0713655	+	0.0458638i
$313$	7.77399	−	8.97166i	0.439412	−	0.507108i	−0.492240	−	0.870459i	$-0.663822\pi$
$313$	7.77399	−	8.97166i	0.439412	−	0.507108i	0.931652	+	0.363351i	$0.118367\pi$
$314$	2.43276	−	5.32700i	0.137289	−	0.300620i
$315$	−0.105868	+	7.13532i	−0.00596496	+	0.402030i
$316$	0.198883	+	0.677334i	0.0111881	+	0.0381030i
$317$	18.0875	+	20.8741i	1.01590	+	1.17241i	0.984942	+	0.172887i	$0.0553095\pi$
$317$	18.0875	+	20.8741i	1.01590	+	1.17241i	0.0309552	+	0.999521i	$0.490145\pi$
$318$	1.19659	+	0.351352i	0.0671016	+	0.0197028i
$319$	−9.81420	+	4.48199i	−0.549490	+	0.250944i
$320$	0.786816	−	5.47242i	0.0439843	−	0.305918i
$321$	−1.92589			−0.107493
$322$	5.82464	−	3.32966i	0.324594	−	0.185555i
$323$	−0.0209420			−0.00116525
$324$	0.244841	−	1.70290i	0.0136023	−	0.0946058i
$325$	1.57620	−	0.719826i	0.0874317	−	0.0399287i
$326$	−5.14364	−	1.51031i	−0.284880	−	0.0836482i
$327$	4.09732	+	4.72855i	0.226582	+	0.261490i
$328$	−4.13076	−	14.0681i	−0.228083	−	0.776780i
$329$	−0.917799	−	0.0136175i	−0.0505999	−	0.000750756i
$330$	1.61636	−	3.53933i	0.0889777	−	0.194834i
$331$	−19.1256	+	22.0721i	−1.05124	+	1.21319i	−0.0748412	+	0.997195i	$0.523845\pi$
$331$	−19.1256	+	22.0721i	−1.05124	+	1.21319i	−0.976394	+	0.215995i	$0.930700\pi$
$332$	18.0436	−	11.5959i	0.990271	−	0.636408i
$333$	5.37943	−	0.773446i	0.294791	−	0.0423846i
$334$	−1.34941	+	0.194016i	−0.0738366	+	0.0106161i
$335$	18.9263	+	29.4499i	1.03405	+	1.60902i
$336$	0.997090	−	6.27280i	0.0543957	−	0.342209i
$337$	9.68728	+	4.42403i	0.527700	+	0.240992i	0.661405	−	0.750029i	$-0.269960\pi$
$337$	9.68728	+	4.42403i	0.527700	+	0.240992i	−0.133706	+	0.991021i	$0.542688\pi$
$338$	−5.52456	−	3.55042i	−0.300496	−	0.193117i
$339$	−7.01212	+	2.05895i	−0.380846	+	0.111827i
$340$	1.53017	+	1.76591i	0.0829853	+	0.0957701i
$341$	−16.4368	−	4.82629i	−0.890105	−	0.261358i
$342$	−0.00913506	−	0.0200030i	−0.000493967	−	0.00108164i
$343$	−0.824029	+	18.5019i	−0.0444934	+	0.999010i
$344$		−	19.3449i		−	1.04301i
$345$	12.5378	−	3.18207i	0.675012	−	0.171317i
$346$			7.58226i			0.407625i
$347$	−1.85150	+	12.8775i	−0.0993939	+	0.691300i	0.877812	+	0.479005i	$0.159003\pi$
$347$	−1.85150	+	12.8775i	−0.0993939	+	0.691300i	−0.977206	+	0.212294i	$0.931907\pi$
$348$	6.18872	−	2.82630i	0.331750	−	0.151505i
$349$	8.98132	−	30.5876i	0.480759	−	1.63732i	−0.260047	−	0.965596i	$-0.583738\pi$
$349$	8.98132	−	30.5876i	0.480759	−	1.63732i	0.740806	−	0.671719i	$-0.234444\pi$
$350$	0.941797	−	3.03989i	0.0503412	−	0.162489i
$351$	−0.730858	+	0.214599i	−0.0390103	+	0.0114545i
$352$	−7.67562	+	11.9435i	−0.409112	+	0.636591i
$353$	−24.3233	−	11.1081i	−1.29460	−	0.591224i	−0.355438	−	0.934700i	$-0.615668\pi$
$353$	−24.3233	−	11.1081i	−1.29460	−	0.591224i	−0.939162	+	0.343476i	$0.888396\pi$
$354$	2.41397	−	2.78587i	0.128301	−	0.148067i
$355$	6.11339	−	3.92883i	0.324465	−	0.208521i
$356$	1.28715	+	8.95232i	0.0682187	+	0.474472i
$357$	0.857424	+	1.01970i	0.0453797	+	0.0539683i
$358$	−6.50238	+	4.17883i	−0.343661	+	0.220858i
$359$	14.1638	+	12.2730i	0.747539	+	0.647746i	0.942935	−	0.332978i	$-0.108054\pi$
$359$	14.1638	+	12.2730i	0.747539	+	0.647746i	−0.195395	+	0.980725i	$0.562599\pi$
$360$	−2.20416	+	4.82643i	−0.116169	+	0.254375i
$361$	−15.9824	−	10.2712i	−0.841177	−	0.540592i
$362$	−7.62581	+	2.23914i	−0.400804	+	0.117687i
$363$	−2.68786	+	2.32904i	−0.141076	+	0.122243i
$364$	−3.34084	+	0.927350i	−0.175107	+	0.0486063i
$365$	−21.1664	+	9.66637i	−1.10790	+	0.505961i
$366$	5.46385	+	0.785583i	0.285600	+	0.0410631i
$367$	−4.91850			−0.256744			−0.128372	−	0.991726i	$-0.540975\pi$
$367$	−4.91850			−0.256744			−0.128372	+	0.991726i	$0.540975\pi$
$368$	−11.4489	+	1.21526i	−0.596813	+	0.0633498i
$369$		−	7.45325i		−	0.388000i
$370$	−7.67194	−	1.10306i	−0.398845	−	0.0573453i
$371$	5.19895	+	3.45121i	0.269916	+	0.179178i
$372$	10.3649	+	3.04341i	0.537394	+	0.157793i
$373$	−11.3212	+	9.80988i	−0.586190	+	0.507937i	−0.896703	−	0.442633i	$-0.854045\pi$
$373$	−11.3212	+	9.80988i	−0.586190	+	0.507937i	0.310513	+	0.950569i	$0.399499\pi$
$374$	−0.204657	−	0.696998i	−0.0105826	−	0.0360409i
$375$	−3.97384	+	6.18342i	−0.205208	+	0.319310i
$376$	−0.620812	−	0.283515i	−0.0320159	−	0.0146212i
$377$	−2.27652	−	1.97261i	−0.117247	−	0.101595i
$378$	−0.599964	+	1.26378i	−0.0308588	+	0.0650017i
$379$	12.5623	−	1.80619i	0.645283	−	0.0927777i	0.188099	−	0.982150i	$-0.439767\pi$
$379$	12.5623	−	1.80619i	0.645283	−	0.0927777i	0.457184	+	0.889372i	$0.348858\pi$
$380$	−0.0274643	−	0.191018i	−0.00140889	−	0.00979904i
$381$	4.54949	+	7.07914i	0.233077	+	0.362675i
$382$	−7.90195	−	6.84708i	−0.404299	−	0.350327i
$383$	−7.84662	+	17.1817i	−0.400944	+	0.877944i	0.596230	+	0.802814i	$0.296665\pi$
$383$	−7.84662	+	17.1817i	−0.400944	+	0.877944i	−0.997174	+	0.0751306i	$0.976063\pi$
$384$	6.21270	−	9.66715i	0.317041	−	0.493325i
$385$	12.9665	−	14.5231i	0.660835	−	0.740165i
$386$	−4.13863	−	4.77624i	−0.210651	−	0.243104i
$387$	2.77049	−	9.43542i	0.140832	−	0.479630i
$388$	0.151563	+	0.331876i	0.00769444	+	0.0168485i
$389$	31.8747	+	4.58288i	1.61611	+	0.232361i	0.890247	−	0.455478i	$-0.150532\pi$
$389$	31.8747	+	4.58288i	1.61611	+	0.232361i	0.725863	+	0.687840i	$0.241441\pi$
$390$	1.08632			0.0550082
$391$	1.37998	−	1.98184i	0.0697886	−	0.100226i
$392$	−6.08952	+	12.3508i	−0.307567	+	0.623807i
$393$	−1.80221	+	12.5346i	−0.0909092	+	0.632288i
$394$	1.99118	+	4.36008i	0.100314	+	0.219658i
$395$	0.311801	−	1.06190i	0.0156884	−	0.0534297i
$396$	−3.54731	+	3.07376i	−0.178259	+	0.154462i
$397$	−9.88014	−	33.6487i	−0.495870	−	1.68878i	−0.703603	−	0.710593i	$-0.748427\pi$
$397$	−9.88014	−	33.6487i	−0.495870	−	1.68878i	0.207733	−	0.978186i	$-0.433391\pi$
$398$	−3.22347	−	2.07160i	−0.161578	−	0.103840i
$399$	−0.0140418	−	0.109133i	−0.000702969	−	0.00546349i
$400$	−3.57630	+	4.12727i	−0.178815	+	0.206364i
$401$	−14.2342	−	22.1488i	−0.710821	−	1.10606i	−0.989339	−	0.145628i	$-0.953480\pi$
$401$	−14.2342	−	22.1488i	−0.710821	−	1.10606i	0.278519	−	0.960431i	$-0.410157\pi$
$402$	0.976677	+	6.79294i	0.0487122	+	0.338801i
$403$	−0.680661	−	4.73410i	−0.0339061	−	0.235822i
$404$	15.0301	+	23.3872i	0.747773	+	1.16356i
$405$	−1.76629	+	2.03840i	−0.0877675	+	0.101289i
$406$	−5.48709	+	0.706005i	−0.272320	+	0.0350385i
$407$	−12.4737	−	8.01633i	−0.618296	−	0.397355i
$408$	0.279081	+	0.950464i	0.0138166	+	0.0470550i
$409$	11.4268	−	9.90134i	0.565017	−	0.489590i	−0.324878	−	0.945756i	$-0.605323\pi$
$409$	11.4268	−	9.90134i	0.565017	−	0.489590i	0.889895	+	0.456166i	$0.150778\pi$
$410$	−2.99469	+	10.1990i	−0.147897	+	0.503691i
$411$	−0.801538	−	1.75512i	−0.0395370	−	0.0865739i
$412$	−1.60995	+	11.1974i	−0.0793164	+	0.551657i
$413$	15.6631	−	9.74076i	0.770728	−	0.479311i
$414$	2.49493	+	0.453610i	0.122619	+	0.0222937i
$415$	−33.6260			−1.65063
$416$	−3.92342	−	0.564103i	−0.192362	−	0.0276574i
$417$	8.52034	+	18.6569i	0.417243	+	0.913634i
$418$	−0.0169026	+	0.0575650i	−0.000826733	+	0.00281559i
$419$	−8.46895	−	9.77369i	−0.413735	−	0.477476i	0.510183	−	0.860066i	$-0.329578\pi$
$419$	−8.46895	−	9.77369i	−0.413735	−	0.477476i	−0.923918	+	0.382590i	$0.875032\pi$
$420$	−8.17653	+	9.15809i	−0.398974	+	0.446869i
$421$	10.5242	−	16.3759i	0.512917	−	0.798115i	−0.484123	−	0.875000i	$-0.660861\pi$
$421$	10.5242	−	16.3759i	0.512917	−	0.798115i	0.997040	+	0.0768852i	$0.0244975\pi$
$422$	−3.89203	+	8.52237i	−0.189461	+	0.414862i
$423$	−0.262195	−	0.227193i	−0.0127483	−	0.0110465i
$424$	2.50845	+	3.90322i	0.121821	+	0.189557i
$425$	−0.163024	−	1.13385i	−0.00790780	−	0.0550000i
$426$	1.41012	−	0.202745i	0.0683205	−	0.00982301i
$427$	24.9517	+	11.8455i	1.20750	+	0.573245i
$428$	−2.50404	−	2.16977i	−0.121038	−	0.104880i
$429$	1.89036	+	0.863297i	0.0912673	+	0.0416804i
$430$	−7.58223	+	11.7982i	−0.365648	+	0.568959i
$431$	−5.83839	−	19.8837i	−0.281225	−	0.957765i	−0.972056	−	0.234749i	$-0.924573\pi$
$431$	−5.83839	−	19.8837i	−0.281225	−	0.957765i	0.690831	−	0.723016i	$-0.257245\pi$
$432$	1.81430	−	1.57210i	0.0872905	−	0.0756376i
$433$	33.3745	+	9.79963i	1.60388	+	0.470940i	0.956621	−	0.291334i	$-0.0940991\pi$
$433$	33.3745	+	9.79963i	1.60388	+	0.470940i	0.647254	+	0.762274i	$0.275917\pi$
$434$	−7.31835	−	4.85812i	−0.351292	−	0.233197i
$435$	−10.5577	−	1.51797i	−0.506205	−	0.0727813i
$436$			10.7643i			0.515514i
$437$	−0.184372	+	0.0760781i	−0.00881969	+	0.00363931i
$438$	−4.56169			−0.217966
$439$	29.8599	+	4.29321i	1.42514	+	0.204904i	0.811347	−	0.584565i	$-0.198735\pi$
$439$	29.8599	+	4.29321i	1.42514	+	0.204904i	0.613790	+	0.789469i	$0.289644\pi$
$440$	13.1678	−	6.01353i	0.627750	−	0.286684i
$441$	−4.73896	+	5.15192i	−0.225665	+	0.245330i
$442$	0.153275	−	0.132814i	0.00729055	−	0.00631730i
$443$	1.81632	−	0.533321i	0.0862962	−	0.0253388i	−0.238299	−	0.971192i	$-0.576590\pi$
$443$	1.81632	−	0.533321i	0.0862962	−	0.0253388i	0.324596	+	0.945853i	$0.394772\pi$
$444$	7.86575	+	5.05501i	0.373292	+	0.239900i
$445$	5.89033	−	12.8980i	0.279228	−	0.611425i
$446$	−4.94487	−	4.28475i	−0.234146	−	0.202889i
$447$	4.72351	−	3.03561i	0.223414	−	0.143580i
$448$	4.15086	−	3.49028i	0.196109	−	0.164900i
$449$	2.74453	+	19.0886i	0.129522	+	0.900847i	0.946161	+	0.323697i	$0.104926\pi$
$449$	2.74453	+	19.0886i	0.129522	+	0.900847i	−0.816639	+	0.577149i	$0.804165\pi$
$450$	1.01190	−	0.650308i	0.0477014	−	0.0306558i
$451$	−13.3162	+	15.3678i	−0.627037	+	0.723640i
$452$	−11.4369	−	5.22304i	−0.537945	−	0.245671i
$453$	−9.29492	+	14.4632i	−0.436714	+	0.679540i
$454$	8.05053	−	2.36385i	0.377830	−	0.110941i
$455$	5.19218	+	1.60861i	0.243413	+	0.0754127i
$456$	0.0230493	−	0.0784987i	0.00107938	−	0.00367604i
$457$	−2.88065	+	1.31555i	−0.134751	+	0.0615388i	−0.481650	−	0.876364i	$-0.659962\pi$
$457$	−2.88065	+	1.31555i	−0.134751	+	0.0615388i	0.346898	+	0.937903i	$0.387235\pi$
$458$	−1.49648	+	10.4083i	−0.0699260	+	0.486346i
$459$			0.503554i			0.0235039i
$460$	19.8867	+	9.98814i	0.927222	+	0.465699i
$461$			37.0377i			1.72502i	0.506042	+	0.862509i	$0.331108\pi$
$461$			37.0377i			1.72502i	−0.506042	+	0.862509i	$0.668892\pi$
$462$	3.49497	−	1.53385i	0.162601	−	0.0713612i
$463$	8.81360	+	19.2991i	0.409603	+	0.896905i	0.996206	+	0.0870304i	$0.0277377\pi$
$463$	8.81360	+	19.2991i	0.409603	+	0.896905i	−0.586603	+	0.809875i	$0.699535\pi$
$464$	9.10908	+	2.67467i	0.422879	+	0.124168i
$465$	−11.0905	−	12.7991i	−0.514309	−	0.593544i
$466$	4.76930	−	1.40039i	0.220933	−	0.0648719i
$467$	12.9449	+	8.31916i	0.599017	+	0.384965i	0.804724	−	0.593649i	$-0.202313\pi$
$467$	12.9449	+	8.31916i	0.599017	+	0.384965i	−0.205707	+	0.978614i	$0.565949\pi$
$468$	−1.19204	−	0.544386i	−0.0551020	−	0.0251642i
$469$	−5.39073	+	33.9137i	−0.248921	+	1.56599i
$470$	0.267500	+	0.416238i	0.0123389	+	0.0191996i
$471$	10.9627	−	1.57620i	0.505134	−	0.0726273i
$472$	13.5747	−	1.95175i	0.624828	−	0.0898367i
$473$	−22.5701	+	14.5049i	−1.03778	+	0.666938i
$474$	0.142080	−	0.163969i	0.00652595	−	0.00753135i
$475$	−0.0393015	+	0.0860583i	−0.00180328	+	0.00394862i
$476$	−0.0340040	+	2.29182i	−0.00155857	+	0.105045i
$477$	0.664485	+	2.26303i	0.0304247	+	0.103617i
$478$	3.91037	+	4.51280i	0.178856	+	0.206411i
$479$	−0.186140	−	0.0546556i	−0.00850495	−	0.00249728i	0.277477	−	0.960732i	$-0.410502\pi$
$479$	−0.186140	−	0.0546556i	−0.00850495	−	0.00249728i	−0.285982	+	0.958235i	$0.592320\pi$
$480$	−12.7672	+	5.83058i	−0.582740	+	0.266128i
$481$	0.589143	−	4.09758i	0.0268626	−	0.186834i
$482$	−12.1776			−0.554676
$483$	11.2530	+	5.86251i	0.512031	+	0.266754i
$484$	−6.11874			−0.278124
$485$	0.0814028	−	0.566169i	0.00369631	−	0.0257084i
$486$	−0.480975	+	0.219654i	−0.0218175	+	0.00996370i
$487$	6.76326	+	1.98587i	0.306473	+	0.0899885i	0.431353	−	0.902183i	$-0.358036\pi$
$487$	6.76326	+	1.98587i	0.306473	+	0.0899885i	−0.124880	+	0.992172i	$0.539855\pi$
$488$	13.4488	+	15.5207i	0.608797	+	0.702589i
$489$	−2.85634	−	9.72778i	−0.129168	−	0.439906i
$490$	8.55477	−	5.14575i	0.386465	−	0.232461i
$491$	−11.4662	+	25.1075i	−0.517464	+	1.13309i	0.452927	+	0.891548i	$0.350380\pi$
$491$	−11.4662	+	25.1075i	−0.517464	+	1.13309i	−0.970391	+	0.241540i	$0.922347\pi$
$492$	8.39707	−	9.69074i	0.378569	−	0.436892i
$493$	−1.67523	+	1.07661i	−0.0754486	+	0.0484879i
$494$	−0.0165797	+	0.00238380i	−0.000745957	+	0.000107252i
$495$	7.28377	−	1.04725i	0.327381	−	0.0470703i
$496$	8.14947	+	12.6808i	0.365922	+	0.569385i
$497$	7.04001	+	1.11904i	0.315788	+	0.0501959i
$498$	−5.99632	−	2.73843i	−0.268702	−	0.122712i
$499$	23.6198	+	15.1796i	1.05737	+	0.679530i	0.949223	−	0.314605i	$-0.101872\pi$
$499$	23.6198	+	15.1796i	1.05737	+	0.679530i	0.108147	+	0.994135i	$0.465508\pi$
$500$	−12.1332	+	3.56264i	−0.542615	+	0.159326i
$501$	−1.68842	−	1.94854i	−0.0754331	−	0.0870544i
$502$	12.6553	+	3.71592i	0.564833	+	0.165850i
$503$	−2.02728	−	4.43913i	−0.0903921	−	0.197931i	0.859036	−	0.511915i	$-0.171064\pi$
$503$	−2.02728	−	4.43913i	−0.0903921	−	0.197931i	−0.949428	+	0.313983i	$0.898336\pi$
$504$	−4.76593	+	2.09164i	−0.212291	+	0.0931691i
$505$		−	43.5844i		−	1.93948i
$506$	−4.33383	−	5.39283i	−0.192662	−	0.239740i
$507$		−	12.4198i		−	0.551582i
$508$	−2.06033	+	14.3299i	−0.0914124	+	0.635787i
$509$	11.0919	−	5.06552i	0.491642	−	0.224525i	−0.154138	−	0.988049i	$-0.549260\pi$
$509$	11.0919	−	5.06552i	0.491642	−	0.224525i	0.645779	+	0.763524i	$0.276533\pi$
$510$	0.202326	−	0.689059i	0.00895915	−	0.0305121i
$511$	−21.8030	−	6.75485i	−0.964507	−	0.298817i
$512$	21.0490	−	6.18054i	0.930243	−	0.273144i
$513$	0.0224844	−	0.0349864i	0.000992711	−	0.00154469i
$514$	−14.0396	−	6.41167i	−0.619260	−	0.282807i
$515$	11.6142	−	13.4035i	0.511782	−	0.590628i
$516$	14.2325	−	9.14665i	0.626549	−	0.402659i
$517$	0.134705	+	0.936894i	0.00592432	+	0.0412045i
$518$	−4.89311	−	5.81920i	−0.214991	−	0.255681i
$519$	−12.0634	+	7.75267i	−0.529524	+	0.340304i
$520$	3.05442	+	2.64667i	0.133945	+	0.116064i
$521$	−6.52445	+	14.2866i	−0.285842	+	0.625906i	−0.997023	−	0.0771026i	$-0.975433\pi$
$521$	−6.52445	+	14.2866i	−0.285842	+	0.625906i	0.711182	+	0.703008i	$0.248160\pi$
$522$	−1.75908	−	1.13049i	−0.0769928	−	0.0494803i
$523$	−36.6206	+	10.7528i	−1.60131	+	0.470187i	−0.955910	−	0.293659i	$-0.905127\pi$
$523$	−36.6206	+	10.7528i	−1.60131	+	0.470187i	−0.645399	+	0.763846i	$0.723309\pi$
$524$	−16.4651	+	14.2671i	−0.719283	+	0.623262i
$525$	5.79943	−	1.60981i	0.253108	−	0.0702577i
$526$	13.1220	−	5.99260i	0.572145	−	0.261290i
$527$	−3.12963	−	0.449972i	−0.136329	−	0.0196011i
$528$	−6.54965			−0.285037
$529$	4.94961	−	22.4611i	0.215200	−	0.976570i
$530$		−	3.36370i		−	0.146110i
$531$	6.90055	+	0.992149i	0.299458	+	0.0430556i
$532$	0.104696	−	0.157715i	0.00453913	−	0.00683782i
$533$	−5.44726	−	1.59946i	−0.235947	−	0.0692803i
$534$	2.10077	−	1.82033i	0.0909094	−	0.0787735i
$535$	1.46346	+	4.98408i	0.0632708	+	0.215480i
$536$	−13.8039	+	21.4792i	−0.596236	+	0.927762i
$537$	−13.2970	−	6.07255i	−0.573809	−	0.262050i
$538$	−3.20658	−	2.77852i	−0.138246	−	0.119791i
$539$	18.9758	−	2.15589i	0.817346	−	0.0928609i
$540$	−4.59306	+	0.660383i	−0.197654	+	0.0284184i
$541$	−1.57899	−	10.9821i	−0.0678863	−	0.472159i	−0.995199	−	0.0978719i	$-0.968796\pi$
$541$	−1.57899	−	10.9821i	−0.0678863	−	0.472159i	0.927313	−	0.374287i	$-0.122113\pi$
$542$	2.41347	+	3.75544i	0.103667	+	0.161310i
$543$	−11.3597	−	9.84321i	−0.487490	−	0.422412i
$544$	−1.08854	+	2.38358i	−0.0466709	+	0.102195i
$545$	9.12371	−	14.1968i	0.390817	−	0.608123i
$546$	0.794890	+	0.709694i	0.0340181	+	0.0303721i
$547$	11.2076	+	12.9342i	0.479202	+	0.553028i	0.942948	−	0.332940i	$-0.108041\pi$
$547$	11.2076	+	12.9342i	0.479202	+	0.553028i	−0.463746	+	0.885968i	$0.653495\pi$
$548$	0.935217	−	3.18506i	0.0399505	−	0.136059i
$549$	4.33678	+	9.49623i	0.185089	+	0.405289i
$550$	−3.24829	−	0.467033i	−0.138507	−	0.0199144i
$551$	0.164465			0.00700646
$552$	5.90985	+	7.35395i	0.251540	+	0.313005i
$553$	0.921886	−	0.573315i	0.0392026	−	0.0243798i
$554$	−1.62998	+	11.3368i	−0.0692514	+	0.481654i
$555$	−6.08939	−	13.3339i	−0.258480	−	0.565993i
$556$	−9.94134	+	33.8571i	−0.421607	+	1.43586i
$557$	27.1432	−	23.5197i	1.15009	−	0.996561i	0.150124	−	0.988667i	$-0.452033\pi$
$557$	27.1432	−	23.5197i	1.15009	−	0.996561i	0.999969	−	0.00789362i	$-0.00251264\pi$
$558$	−0.935369	−	3.18557i	−0.0395973	−	0.134856i
$559$	−6.30141	−	4.04967i	−0.266521	−	0.171283i
$560$	−16.9913	+	2.18621i	−0.718014	+	0.0923844i
$561$	0.899668	−	1.03827i	0.0379840	−	0.0438359i
$562$	−6.08655	−	9.47086i	−0.256746	−	0.399504i
$563$	−4.20154	−	29.2223i	−0.177074	−	1.23157i	−0.863490	−	0.504366i	$-0.831726\pi$
$563$	−4.20154	−	29.2223i	−0.177074	−	1.23157i	0.686416	−	0.727209i	$-0.259183\pi$
$564$	−0.0849434	−	0.590794i	−0.00357676	−	0.0248769i
$565$	10.6569	+	16.5824i	0.448337	+	0.697626i
$566$	−7.07986	+	8.17059i	−0.297589	+	0.343435i
$567$	−2.62412	+	0.337637i	−0.110203	+	0.0141794i
$568$	4.45879	+	2.86549i	0.187087	+	0.120233i
$569$	−7.01952	−	23.9063i	−0.294273	−	1.00220i	−0.965381	−	0.260843i	$-0.915999\pi$
$569$	−7.01952	−	23.9063i	−0.294273	−	1.00220i	0.671108	−	0.741360i	$-0.265819\pi$
$570$	−0.0448249	+	0.0388410i	−0.00187751	+	0.00162687i
$571$	−8.68031	+	29.5624i	−0.363260	+	1.23715i	0.551850	+	0.833944i	$0.313922\pi$
$571$	−8.68031	+	29.5624i	−0.363260	+	1.23715i	−0.915109	+	0.403206i	$0.867896\pi$
$572$	1.48523	+	3.25220i	0.0621006	+	0.135981i
$573$	2.81417	−	19.5730i	0.117564	−	0.817673i
$574$	−8.85424	+	5.50640i	−0.369569	+	0.229833i
$575$	−5.55430	−	9.39011i	−0.231630	−	0.391595i
$576$	2.04980			0.0854082
$577$	10.6978	+	1.53812i	0.445357	+	0.0640326i	0.361345	−	0.932432i	$-0.382318\pi$
$577$	10.6978	+	1.53812i	0.445357	+	0.0640326i	0.0840116	+	0.996465i	$0.473227\pi$
$578$	3.67842	+	8.05461i	0.153002	+	0.335028i
$579$	3.36735	−	11.4681i	0.139942	−	0.476600i
$580$	−12.0170	−	13.8684i	−0.498979	−	0.575853i
$581$	−24.6049	−	21.9678i	−1.02078	−	0.911377i
$582$	0.0606237	−	0.0943323i	0.00251293	−	0.00391020i
$583$	2.67312	−	5.85331i	0.110709	−	0.242419i
$584$	−12.8261	−	11.1139i	−0.530748	−	0.459896i
$585$	1.11074	+	1.72834i	0.0459234	+	0.0714582i
$586$	0.234463	+	1.63072i	0.00968556	+	0.0673645i
$587$	27.5957	−	3.96767i	1.13900	−	0.163763i	0.453099	−	0.891460i	$-0.350318\pi$
$587$	27.5957	−	3.96767i	1.13900	−	0.163763i	0.685899	+	0.727697i	$0.259409\pi$
$588$	−11.9659	+	1.35948i	−0.493467	+	0.0560641i
$589$	0.197351	+	0.171006i	0.00813172	+	0.00704618i
$590$	−9.04401	−	4.13026i	−0.372336	−	0.170040i
$591$	−4.90096	+	7.62604i	−0.201598	+	0.313693i
$592$	3.67576	+	12.5185i	0.151073	+	0.514507i
$593$	17.4341	−	15.1068i	0.715934	−	0.620360i	−0.218775	−	0.975775i	$-0.570206\pi$
$593$	17.4341	−	15.1068i	0.715934	−	0.620360i	0.934709	+	0.355415i	$0.115661\pi$
$594$	1.38416	+	0.406425i	0.0567927	+	0.0166758i
$595$	1.98738	−	2.99382i	0.0814746	−	0.122735i
$596$	9.56154	+	1.37474i	0.391656	+	0.0563116i
$597$		−	7.24669i		−	0.296587i
$598$	0.866935	−	1.72609i	0.0354516	−	0.0705853i
$599$	−37.9170			−1.54925			−0.774624	−	0.632422i	$-0.782061\pi$
$599$	−37.9170			−1.54925			−0.774624	+	0.632422i	$0.782061\pi$
$600$	4.42954	+	0.636872i	0.180835	+	0.0260002i
$601$	−27.4713	+	12.5457i	−1.12058	+	0.511750i	−0.887546	−	0.460719i	$-0.847592\pi$
$601$	−27.4713	+	12.5457i	−1.12058	+	0.511750i	−0.233031	+	0.972469i	$0.574864\pi$
$602$	−13.2558	+	3.67956i	−0.540267	+	0.149967i
$603$	−9.80894	+	8.49950i	−0.399451	+	0.346126i
$604$	−28.3800	+	8.33312i	−1.15477	+	0.339070i
$605$	8.06989	+	5.18620i	0.328088	+	0.210849i
$606$	3.54942	−	7.77214i	0.144185	−	0.315722i
$607$	−25.7715	−	22.3311i	−1.04603	−	0.906391i	−0.0503039	−	0.998734i	$-0.516019\pi$
$607$	−25.7715	−	22.3311i	−1.04603	−	0.906391i	−0.995727	+	0.0923428i	$0.970564\pi$
$608$	0.182061	−	0.117004i	0.00738355	−	0.00474512i
$609$	−6.73366	−	8.00809i	−0.272862	−	0.324504i
$610$	−2.11887	−	14.7371i	−0.0857905	−	0.596686i
$611$	−0.222313	+	0.142872i	−0.00899381	+	0.00577997i
$612$	−0.567320	+	0.654723i	−0.0229326	+	0.0264656i
$613$	−7.81072	−	3.56703i	−0.315472	−	0.144071i	0.251386	−	0.967887i	$-0.419114\pi$
$613$	−7.81072	−	3.56703i	−0.315472	−	0.144071i	−0.566858	+	0.823816i	$0.691841\pi$
$614$	2.86803	−	4.46274i	0.115744	−	0.180102i
$615$	−19.2885	+	5.66363i	−0.777789	+	0.228380i
$616$	13.5638	+	4.20225i	0.546502	+	0.169314i
$617$	−3.44938	+	11.7475i	−0.138867	+	0.472936i	−0.999331	−	0.0365745i	$-0.988355\pi$
$617$	−3.44938	+	11.7475i	−0.138867	+	0.472936i	0.860464	+	0.509511i	$0.170174\pi$
$618$	3.16264	−	1.44433i	0.127220	−	0.0580995i
$619$	−2.41698	+	16.8105i	−0.0971467	+	0.675670i	0.881810	+	0.471604i	$0.156325\pi$
$619$	−2.41698	+	16.8105i	−0.0971467	+	0.675670i	−0.978957	+	0.204066i	$0.934584\pi$
$620$		−	29.1363i		−	1.17014i
$621$	1.82931	+	4.43324i	0.0734076	+	0.177900i
$622$			14.1231i			0.566285i
$623$	12.7363	−	5.58965i	0.510271	−	0.223945i
$624$	−0.759633	−	1.66337i	−0.0304097	−	0.0665879i
$625$	29.9355	+	8.78986i	1.19742	+	0.351594i
$626$	−4.11055	−	4.74383i	−0.164291	−	0.189602i
$627$	−0.108868	+	0.0319666i	−0.00434778	+	0.00127662i
$628$	16.0295	+	10.3016i	0.639648	+	0.411077i
$629$	−2.48938	−	1.13686i	−0.0992581	−	0.0453297i
$630$	3.72648	+	0.592341i	0.148467	+	0.0235994i
$631$	17.8277	+	27.7405i	0.709711	+	1.10433i	0.989537	+	0.144281i	$0.0460868\pi$
$631$	17.8277	+	27.7405i	0.709711	+	1.10433i	−0.279826	+	0.960051i	$0.590277\pi$
$632$	0.798973	−	0.114875i	0.0317815	−	0.00456948i
$633$	−17.5386	+	2.52167i	−0.697097	+	0.100227i
$634$	12.2861	−	7.89579i	0.487943	−	0.313582i
$635$	14.8633	−	17.1531i	0.589831	−	0.680702i
$636$	−1.68564	+	3.69103i	−0.0668399	+	0.146359i
$637$	2.74834	+	4.56910i	0.108893	+	0.181034i
$638$	1.60725	+	5.47378i	0.0636315	+	0.216709i
$639$	1.76438	+	2.03620i	0.0697977	+	0.0805508i
$640$	−29.7390	−	8.73215i	−1.17554	−	0.345168i
$641$	15.9478	−	7.28311i	0.629900	−	0.287666i	−0.0747703	−	0.997201i	$-0.523822\pi$
$641$	15.9478	−	7.28311i	0.629900	−	0.287666i	0.704670	+	0.709535i	$0.251095\pi$
$642$	−0.144923	+	1.00796i	−0.00571965	+	0.0397811i
$643$	−21.4941			−0.847645			−0.423822	−	0.905745i	$-0.639312\pi$
$643$	−21.4941			−0.847645			−0.423822	+	0.905745i	$0.639312\pi$
$644$	8.02634	+	20.3005i	0.316282	+	0.799952i
$645$	−26.5236			−1.04436
$646$	−0.00157589	+	0.0109605i	−6.20025e−5	+	0.000431237i
$647$	−19.0876	+	8.71703i	−0.750412	+	0.342702i	−0.753635	−	0.657293i	$-0.771701\pi$
$647$	−19.0876	+	8.71703i	−0.750412	+	0.342702i	0.00322288	+	0.999995i	$0.498974\pi$
$648$	−1.88751	−	0.554223i	−0.0741485	−	0.0217720i
$649$	−12.4556	−	14.3745i	−0.488923	−	0.564247i
$650$	−0.258130	−	0.879110i	−0.0101247	−	0.0344815i
$651$	0.246456	−	16.6108i	0.00965939	−	0.651029i
$652$	7.24582	−	15.8661i	0.283768	−	0.621366i
$653$	−0.920325	+	1.06211i	−0.0360151	+	0.0415637i	−0.773471	−	0.633831i	$-0.781481\pi$
$653$	−0.920325	+	1.06211i	−0.0360151	+	0.0415637i	0.737456	+	0.675395i	$0.236027\pi$
$654$	2.78313	−	1.78861i	0.108829	−	0.0699402i
$655$	33.8083	−	4.86090i	1.32100	−	0.189931i
$656$	17.7106	−	2.54640i	0.691483	−	0.0994202i
$657$	−4.66421	−	7.25765i	−0.181968	−	0.283148i
$658$	−0.0761914	+	0.479328i	−0.00297025	+	0.0186862i
$659$	42.2829	+	19.3100i	1.64711	+	0.752210i	0.999949	−	0.0101439i	$-0.00322895\pi$
$659$	42.2829	+	19.3100i	1.64711	+	0.752210i	0.647161	+	0.762354i	$0.275956\pi$
$660$	10.6502	+	6.84450i	0.414560	+	0.266422i
$661$	−35.5521	+	10.4390i	−1.38282	+	0.406032i	−0.886749	−	0.462251i	$-0.847042\pi$
$661$	−35.5521	+	10.4390i	−1.38282	+	0.406032i	−0.496069	+	0.868283i	$0.665224\pi$
$662$	10.1128	+	11.6708i	0.393044	+	0.453597i
$663$	0.368026	+	0.108062i	0.0142930	+	0.00419679i
$664$	−10.1881	−	22.3088i	−0.395375	−	0.865750i
$665$	−0.271760	+	0.119268i	−0.0105384	+	0.00462502i
$666$		−	2.87366i		−	0.111352i
$667$	−10.8375	+	15.5641i	−0.419629	+	0.602645i
$668$		−	4.43573i		−	0.171624i
$669$	1.76105	−	12.2483i	0.0680860	−	0.473548i
$670$	16.8375	−	7.68945i	0.650491	−	0.297069i
$671$	8.02435	−	27.3284i	0.309777	−	1.05500i
$672$	−13.1512	−	4.07441i	−0.507317	−	0.157174i
$673$	19.1476	−	5.62224i	0.738086	−	0.216722i	0.108983	−	0.994044i	$-0.465241\pi$
$673$	19.1476	−	5.62224i	0.738086	−	0.216722i	0.629103	+	0.777322i	$0.283422\pi$
$674$	3.04440	−	4.73717i	0.117266	−	0.182469i
$675$	2.06928	+	0.945010i	0.0796467	+	0.0363734i
$676$	13.9925	−	16.1483i	0.538175	−	0.621087i
$677$	13.5826	−	8.72899i	0.522020	−	0.335482i	−0.252950	−	0.967479i	$-0.581401\pi$
$677$	13.5826	−	8.72899i	0.522020	−	0.335482i	0.774971	+	0.631997i	$0.217765\pi$
$678$	0.549939	+	3.82491i	0.0211203	+	0.146895i
$679$	0.429442	−	0.361099i	0.0164805	−	0.0138577i
$680$	2.24767	−	1.44449i	0.0861943	−	0.0553937i
$681$	11.9924	+	10.3914i	0.459548	+	0.398201i
$682$	−3.76284	+	8.23946i	−0.144086	+	0.315505i
$683$	−38.4288	−	24.6967i	−1.47044	−	0.944992i	−0.997973	−	0.0636412i	$-0.979729\pi$
$683$	−38.4288	−	24.6967i	−1.47044	−	0.944992i	−0.472463	−	0.881351i	$-0.656635\pi$
$684$	0.0686512	−	0.0201578i	0.00262494	−	0.000770753i
$685$	−3.93307	+	3.40803i	−0.150275	+	0.130214i
$686$	9.62144	+	1.82355i	0.367348	+	0.0696233i
$687$	−18.0897	+	8.26128i	−0.690164	+	0.315187i
$688$	23.3672	+	3.35970i	0.890868	+	0.128087i
$689$	1.79655			0.0684431
$690$	−0.721950	−	6.80142i	−0.0274842	−	0.258926i
$691$		−	6.78201i		−	0.258000i	−0.991645	−	0.129000i	$-0.958823\pi$
$691$		−	6.78201i		−	0.258000i	0.991645	−	0.129000i	$-0.0411767\pi$
$692$	−24.4193	−	3.51096i	−0.928281	−	0.133467i
$693$	6.01387	+	3.99218i	0.228448	+	0.151650i
$694$	6.60043	+	1.93806i	0.250549	+	0.0735678i
$695$	41.8085	−	36.2273i	1.58589	−	1.37418i
$696$	−2.19173	−	7.46434i	−0.0830773	−	0.282935i
$697$	−2.02909	+	3.15732i	−0.0768571	+	0.119592i
$698$	−15.3329	−	7.00232i	−0.580360	−	0.265042i
$699$	7.10451	+	6.15609i	0.268717	+	0.232845i
$700$	9.35409	+	4.44075i	0.353552	+	0.167845i
$701$	−10.5598	+	1.51828i	−0.398840	+	0.0573445i	−0.338816	−	0.940853i	$-0.610027\pi$
$701$	−10.5598	+	1.51828i	−0.398840	+	0.0573445i	−0.0600232	+	0.998197i	$0.519117\pi$
$702$	0.0573189	+	0.398661i	0.00216336	+	0.0150465i
$703$	0.122197	+	0.190143i	0.00460875	+	0.00717136i
$704$	−4.22645	−	3.66224i	−0.159290	−	0.138026i
$705$	−0.388723	+	0.851185i	−0.0146402	+	0.0320575i
$706$	−7.64403	+	11.8943i	−0.287687	+	0.447650i
$707$	28.4736	−	31.8917i	1.07086	−	1.19941i
$708$	7.85433	+	9.06438i	0.295184	+	0.340660i
$709$	−7.82053	+	26.6343i	−0.293706	+	1.00027i	0.671982	+	0.740568i	$0.265443\pi$
$709$	−7.82053	+	26.6343i	−0.293706	+	1.00027i	−0.965688	+	0.259704i	$0.916375\pi$
$710$	−1.59622	−	3.49524i	−0.0599052	−	0.131174i
$711$	0.406148	+	0.0583953i	0.0152317	+	0.00218999i
$712$	10.3417			0.387573
$713$	−29.1876	+	7.40777i	−1.09308	+	0.277423i
$714$	0.598208	−	0.372022i	0.0223874	−	0.0139226i
$715$	0.797702	−	5.54814i	0.0298324	−	0.207489i
$716$	−10.4473	−	22.8764i	−0.390434	−	0.854932i
$717$	−3.18163	+	10.8356i	−0.118820	+	0.404664i
$718$	7.48924	−	6.48946i	0.279496	−	0.242185i
$719$	−0.499350	−	1.70063i	−0.0186226	−	0.0634228i	0.949657	−	0.313290i	$-0.101431\pi$
$719$	−0.499350	−	1.70063i	−0.0186226	−	0.0634228i	−0.968280	+	0.249867i	$0.919613\pi$
$720$	−5.44716	−	3.50068i	−0.203004	−	0.130463i
$721$	17.2549	−	2.22013i	0.642604	−	0.0826818i
$722$	−6.57839	+	7.59186i	−0.244822	+	0.282540i
$723$	−12.4513	−	19.3746i	−0.463070	−	0.720550i
$724$	−3.68020	−	25.5963i	−0.136773	−	0.951280i
$725$	1.28028	+	8.90457i	0.0475485	+	0.330707i
$726$	1.01670	+	1.58202i	0.0377334	+	0.0587143i
$727$	−2.70173	+	3.11796i	−0.100202	+	0.115639i	−0.803635	−	0.595122i	$-0.797104\pi$
$727$	−2.70173	+	3.11796i	−0.100202	+	0.115639i	0.703434	+	0.710761i	$0.251649\pi$
$728$	0.505928	+	3.93208i	0.0187509	+	0.145733i
$729$	−0.841254	−	0.540641i	−0.0311575	−	0.0200237i
$730$	3.46637	+	11.8054i	0.128296	+	0.436936i
$731$	−3.74234	+	3.24276i	−0.138416	+	0.119938i
$732$	−5.06006	+	17.2330i	−0.187025	+	0.636950i
$733$	17.2038	+	37.6711i	0.635438	+	1.39141i	0.903741	+	0.428080i	$0.140810\pi$
$733$	17.2038	+	37.6711i	0.635438	+	1.39141i	−0.268303	+	0.963335i	$0.586463\pi$
$734$	−0.370117	+	2.57422i	−0.0136613	+	0.0950163i
$735$	16.9339	+	8.34925i	0.624617	+	0.307967i
$736$	−0.924389	+	24.9392i	−0.0340734	+	0.919273i
$737$	35.4105			1.30436
$738$	−3.90085	−	0.560857i	−0.143592	−	0.0206454i
$739$	3.27295	+	7.16676i	0.120397	+	0.263633i	0.960229	−	0.279213i	$-0.0900737\pi$
$739$	3.27295	+	7.16676i	0.120397	+	0.263633i	−0.839832	+	0.542847i	$0.817346\pi$
$740$	7.10497	−	24.1973i	0.261184	−	0.889511i
$741$	−0.0207450	−	0.0239410i	−0.000762085	−	0.000879493i
$742$	2.19750	−	2.46130i	0.0806727	−	0.0903571i
$743$	−9.26924	+	14.4232i	−0.340056	+	0.529137i	−0.968596	−	0.248640i	$-0.920016\pi$
$743$	−9.26924	+	14.4232i	−0.340056	+	0.529137i	0.628540	+	0.777777i	$0.283653\pi$
$744$	5.13121	−	11.2358i	0.188119	−	0.411923i
$745$	−11.4453	−	9.91743i	−0.419324	−	0.363346i
$746$	4.28233	+	6.66344i	0.156787	+	0.243966i
$747$	−1.77424	−	12.3401i	−0.0649161	−	0.451502i
$748$	2.33950	−	0.336370i	0.0855407	−	0.0122989i
$749$	−2.18524	+	4.60304i	−0.0798470	+	0.168191i
$750$	2.93722	+	2.54511i	0.107252	+	0.0929343i
$751$	−36.3781	−	16.6133i	−1.32746	−	0.606229i	−0.379666	−	0.925124i	$-0.623961\pi$
$751$	−36.3781	−	16.6133i	−1.32746	−	0.606229i	−0.947790	+	0.318895i	$0.896688\pi$
$752$	0.450283	−	0.700655i	0.0164201	−	0.0255502i
$753$	7.02765	+	23.9340i	0.256102	+	0.872203i
$754$	−1.20372	+	1.04303i	−0.0438371	+	0.0379850i
$755$	44.4929	+	13.0643i	1.61926	+	0.475459i
$756$	−3.79228	−	2.51742i	−0.137924	−	0.0915577i
$757$	27.1553	+	3.90435i	0.986977	+	0.141906i	0.616855	−	0.787077i	$-0.288407\pi$
$757$	27.1553	+	3.90435i	0.986977	+	0.141906i	0.370123	+	0.928983i	$0.379316\pi$
$758$		−	6.71072i		−	0.243744i
$759$	4.14876	−	12.4092i	0.150591	−	0.450424i
$760$	−0.220665			−0.00800435
$761$	−26.1465	−	3.75930i	−0.947811	−	0.136275i	−0.348962	−	0.937137i	$-0.613466\pi$
$761$	−26.1465	−	3.75930i	−0.947811	−	0.136275i	−0.598849	+	0.800862i	$0.704375\pi$
$762$	4.04740	−	1.84838i	0.146622	−	0.0669599i
$763$	15.9508	−	4.42761i	0.577456	−	0.160290i
$764$	25.7105	−	22.2783i	0.930175	−	0.806001i
$765$	1.30317	−	0.382644i	0.0471161	−	0.0138345i
$766$	8.40202	+	5.39965i	0.303577	+	0.195097i
$767$	2.20597	−	4.83040i	0.0796530	−	0.174416i
$768$	−1.49378	−	1.29437i	−0.0539021	−	0.0467065i
$769$	33.6695	−	21.6381i	1.21415	−	0.780289i	0.232805	−	0.972524i	$-0.425210\pi$
$769$	33.6695	−	21.6381i	1.21415	−	0.780289i	0.981349	+	0.192234i	$0.0615734\pi$
$770$	−6.62530	−	7.87921i	−0.238759	−	0.283947i
$771$	−4.15415	−	28.8928i	−0.149608	−	1.04055i
$772$	17.2986	−	11.1172i	0.622591	−	0.400115i
$773$	−11.3933	+	13.1486i	−0.409789	+	0.472921i	−0.922699	−	0.385521i	$-0.874022\pi$
$773$	−11.3933	+	13.1486i	−0.409789	+	0.472921i	0.512911	+	0.858442i	$0.328567\pi$
$774$	−4.72979	−	2.16002i	−0.170009	−	0.0776404i
$775$	−7.72240	+	12.0163i	−0.277397	+	0.431638i
$776$	0.400283	−	0.117534i	0.0143693	−	0.00421921i
$777$	4.25526	−	13.7349i	0.152657	−	0.492738i
$778$	4.79714	−	16.3375i	0.171986	−	0.585730i
$779$	0.281958	−	0.128766i	0.0101022	−	0.00461351i
$780$	−0.503022	+	3.49859i	−0.0180111	+	0.125270i
$781$		−	7.35072i		−	0.263029i
$782$	−0.933402	−	0.871381i	−0.0333784	−	0.0311605i
$783$		−	3.95459i		−	0.141326i
$784$	−13.8612	−	9.50068i	−0.495043	−	0.339310i
$785$	−12.4095	−	27.1730i	−0.442915	−	0.969848i
$786$	6.42469	+	1.88646i	0.229161	+	0.0672878i
$787$	−29.6870	−	34.2607i	−1.05823	−	1.22126i	−0.974410	−	0.224780i	$-0.927834\pi$
$787$	−29.6870	−	34.2607i	−1.05823	−	1.22126i	−0.0838191	−	0.996481i	$-0.526712\pi$
$788$	−14.9640	+	4.39382i	−0.533070	+	0.156523i
$789$	22.9511	+	14.7498i	0.817081	+	0.525106i
$790$	−0.532307	−	0.243096i	−0.0189386	−	0.00864898i
$791$	−3.03537	+	19.0958i	−0.107925	+	0.678969i
$792$	2.90164	+	4.51504i	0.103105	+	0.160435i
$793$	7.87106	−	1.13169i	0.279510	−	0.0401874i
$794$	−18.3544	+	2.63896i	−0.651372	+	0.0936532i
$795$	5.35165	−	3.43930i	0.189803	−	0.121979i
$796$	8.16436	−	9.42218i	0.289378	−	0.333960i
$797$	−11.4975	+	25.1761i	−0.407264	+	0.891783i	0.589218	+	0.807974i	$0.299436\pi$
$797$	−11.4975	+	25.1761i	−0.407264	+	0.891783i	−0.996482	+	0.0838092i	$0.973291\pi$
$798$	−0.0581742		0.000863137i	−0.00205934		3.05547e-5i
$799$	0.0492186	+	0.167623i	0.00174123	+	0.00593008i
$800$	7.75212	+	8.94642i	0.274079	+	0.316304i
$801$	5.04414	+	1.48109i	0.178226	+	0.0523318i
$802$	−12.6633	+	5.78312i	−0.447155	+	0.204209i
$803$	−3.34970	+	23.2977i	−0.118208	+	0.822158i
$804$	−22.3294			−0.787498
$805$	6.62078	−	33.5770i	0.233352	−	1.18343i
$806$	−2.52893			−0.0890778
$807$	1.14198	−	7.94264i	0.0401996	−	0.279594i
$808$	28.9156	−	13.2053i	1.01725	−	0.464561i
$809$	6.60976	+	1.94080i	0.232387	+	0.0682349i	0.395853	−	0.918314i	$-0.370449\pi$
$809$	6.60976	+	1.94080i	0.232387	+	0.0682349i	−0.163466	+	0.986549i	$0.552267\pi$
$810$	0.933937	+	1.07782i	0.0328152	+	0.0378708i
$811$	3.03220	+	10.3267i	0.106475	+	0.362620i	0.995444	−	0.0953469i	$-0.0303960\pi$
$811$	3.03220	+	10.3267i	0.106475	+	0.362620i	−0.888969	+	0.457967i	$0.848578\pi$
$812$	0.267046	−	17.9985i	0.00937147	−	0.631624i
$813$	−3.50719	+	7.67967i	−0.123002	+	0.269338i
$814$	−5.13419	+	5.92518i	−0.179953	+	0.207677i
$815$	−23.0044	+	14.7840i	−0.805810	+	0.517862i
$816$	−1.19656	+	0.172039i	−0.0418879	+	0.00602257i
$817$	0.404808	−	0.0582026i	0.0141624	−	0.00203625i
$818$	−4.32225	−	6.72556i	−0.151124	−	0.235154i
$819$	−0.316369	+	1.99031i	−0.0110548	+	0.0695472i
$820$	−31.4599	−	14.3672i	−1.09863	−	0.501726i
$821$	−8.42349	−	5.41345i	−0.293982	−	0.188931i	0.385333	−	0.922778i	$-0.374087\pi$
$821$	−8.42349	−	5.41345i	−0.293982	−	0.188931i	−0.679315	+	0.733847i	$0.737723\pi$
$822$	−0.978904	+	0.287432i	−0.0341432	+	0.0100253i
$823$	−6.62982	−	7.65122i	−0.231101	−	0.266705i	0.628341	−	0.777938i	$-0.283734\pi$
$823$	−6.62982	−	7.65122i	−0.231101	−	0.266705i	−0.859442	+	0.511233i	$0.829189\pi$
$824$	12.4113	+	3.64429i	0.432368	+	0.126955i
$825$	−2.57824	−	5.64556i	−0.0897628	−	0.196553i
$826$	−3.91943	−	8.93065i	−0.136374	−	0.310737i
$827$			30.0945i			1.04649i	0.852182	+	0.523245i	$0.175279\pi$
$827$			30.0945i			1.04649i	−0.852182	+	0.523245i	$0.824721\pi$
$828$	−2.61616	+	7.82507i	−0.0909180	+	0.271940i
$829$			18.0468i			0.626792i	0.949622	+	0.313396i	$0.101467\pi$
$829$			18.0468i			0.626792i	−0.949622	+	0.313396i	$0.898533\pi$
$830$	−2.53036	+	17.5990i	−0.0878299	+	0.610871i
$831$	−19.7035	+	8.99827i	−0.683505	+	0.312146i
$832$	0.439884	−	1.49811i	0.0152502	−	0.0519376i
$833$	3.41007	−	0.892297i	0.118152	−	0.0309162i
$834$	10.4057	−	3.05540i	0.360321	−	0.105800i
$835$	−3.75970	+	5.85020i	−0.130110	+	0.202455i
$836$	−0.177566	−	0.0810915i	−0.00614124	−	0.00280461i
$837$	4.11186	−	4.74534i	0.142127	−	0.164023i
$838$	−5.75260	+	3.69697i	−0.198720	+	0.127710i
$839$	−3.09155	−	21.5022i	−0.106732	−	0.742338i	−0.970961	−	0.239239i	$-0.923102\pi$
$839$	−3.09155	−	21.5022i	−0.106732	−	0.742338i	0.864229	−	0.503099i	$-0.167807\pi$
$840$	9.03461	+	10.7445i	0.311724	+	0.370721i
$841$	−11.2401	+	7.22360i	−0.387591	+	0.249090i
$842$	−7.77882	−	6.74039i	−0.268076	−	0.232289i
$843$	8.84481	−	19.3674i	0.304631	−	0.667050i
$844$	−25.6447	−	16.4809i	−0.882728	−	0.567295i
$845$	−32.1417	+	9.43765i	−1.10571	+	0.324665i
$846$	−0.138637	+	0.120130i	−0.00476645	+	0.00413016i
$847$	2.51679	+	9.06691i	0.0864781	+	0.311543i
$848$	−5.15045	+	2.35213i	−0.176867	+	0.0807725i
$849$	−20.2384	−	2.90984i	−0.694580	−	0.0998655i
$850$	−0.605699			−0.0207753
$851$	−26.0463	−	0.965421i	−0.892854	−	0.0330942i
$852$			4.63528i			0.158802i
$853$	−20.2630	−	2.91339i	−0.693793	−	0.0997524i	−0.213608	−	0.976919i	$-0.568522\pi$
$853$	−20.2630	−	2.91339i	−0.693793	−	0.0997524i	−0.480185	+	0.877167i	$0.659431\pi$
$854$	8.07727	−	12.1677i	0.276398	−	0.416371i
$855$	−0.107628	−	0.0316025i	−0.00368081	−	0.00108078i
$856$	−2.86323	+	2.48100i	−0.0978632	+	0.0847990i
$857$	−1.84328	−	6.27765i	−0.0629654	−	0.214440i	0.922001	−	0.387188i	$-0.126554\pi$
$857$	−1.84328	−	6.27765i	−0.0629654	−	0.214440i	−0.984966	+	0.172748i	$0.944735\pi$
$858$	0.594078	−	0.924403i	0.0202815	−	0.0315586i
$859$	9.97149	+	4.55383i	0.340223	+	0.155375i	0.578198	−	0.815897i	$-0.303756\pi$
$859$	9.97149	+	4.55383i	0.340223	+	0.155375i	−0.237975	+	0.971271i	$0.576484\pi$
$860$	−34.4860	−	29.8823i	−1.17596	−	1.01898i
$861$	−17.8139	−	8.45696i	−0.607097	−	0.288212i
$862$	−10.8460	+	1.55942i	−0.369416	+	0.0531140i
$863$	−3.67490	−	25.5595i	−0.125095	−	0.870055i	−0.951647	−	0.307194i	$-0.900610\pi$
$863$	−3.67490	−	25.5595i	−0.125095	−	0.870055i	0.826552	−	0.562861i	$-0.190299\pi$
$864$	−2.81337	−	4.37768i	−0.0957127	−	0.148932i
$865$	29.2302	+	25.3281i	0.993858	+	0.861183i
$866$	7.64032	−	16.7300i	0.259629	−	0.568507i
$867$	−9.05381	+	14.0880i	−0.307483	+	0.478453i
$868$	19.0347	−	21.3198i	0.646080	−	0.723640i
$869$	−0.733101	−	0.846044i	−0.0248687	−	0.0287001i
$870$	−1.58894	+	5.41143i	−0.0538701	+	0.183465i
$871$	4.10693	+	8.99292i	0.139158	+	0.304714i
$872$	12.1830	+	1.75165i	0.412569	+	0.0593185i
$873$	0.212069			0.00717745
$874$	0.0259434	+	0.102220i	0.000877549	+	0.00345766i
$875$	10.2699	+	16.5140i	0.347187	+	0.558274i
$876$	2.11229	−	14.6913i	0.0713675	−	0.496372i
$877$	−6.14679	−	13.4596i	−0.207562	−	0.454498i	0.777007	−	0.629492i	$-0.216737\pi$
$877$	−6.14679	−	13.4596i	−0.207562	−	0.454498i	−0.984570	+	0.174993i	$0.944010\pi$
$878$	4.49392	−	15.3049i	0.151662	−	0.516515i
$879$	−2.35475	+	2.04040i	−0.0794237	+	0.0688211i
$880$	4.97700	+	16.9501i	0.167775	+	0.571388i
$881$	−36.5695	−	23.5018i	−1.23206	−	0.791795i	−0.247847	−	0.968799i	$-0.579723\pi$
$881$	−36.5695	−	23.5018i	−1.23206	−	0.791795i	−0.984210	+	0.177004i	$0.943359\pi$
$882$	2.33978	+	2.86794i	0.0787846	+	0.0965684i
$883$	29.6690	−	34.2399i	0.998441	−	1.15226i	0.0101092	−	0.999949i	$-0.496782\pi$
$883$	29.6690	−	34.2399i	0.998441	−	1.15226i	0.988332	−	0.152314i	$-0.0486724\pi$
$884$	0.356763	+	0.555133i	0.0119992	+	0.0186712i
$885$	−2.67602	−	18.6121i	−0.0899534	−	0.625640i
$886$	−0.142449	−	0.990752i	−0.00478565	−	0.0332850i
$887$	−11.3129	−	17.6032i	−0.379850	−	0.591059i	0.597710	−	0.801712i	$-0.296077\pi$
$887$	−11.3129	−	17.6032i	−0.379850	−	0.591059i	−0.977561	+	0.210653i	$0.932441\pi$
$888$	7.00126	−	8.07989i	0.234947	−	0.271143i
$889$	22.0819	−	2.84121i	0.740604	−	0.0952911i
$890$	−6.30726	−	4.05343i	−0.211420	−	0.135871i
$891$	0.768642	+	2.61776i	0.0257505	+	0.0876981i
$892$	16.0891	−	13.9413i	0.538703	−	0.466789i
$893$	0.00406496	−	0.0138440i	0.000136029	−	0.000463271i
$894$	−1.23332	−	2.70060i	−0.0412484	−	0.0903215i
$895$	−5.61114	+	39.0264i	−0.187560	+	1.30451i
$896$	−16.0560	−	25.8179i	−0.536394	−	0.862516i
$897$	3.63264	−	0.385593i	0.121290	−	0.0128746i
$898$	10.1970			0.340279
$899$	24.5781	+	3.53380i	0.819725	+	0.117859i
$900$	1.62581	+	3.56003i	0.0541937	+	0.118668i
$901$	0.334604	−	1.13956i	0.0111473	−	0.0379642i
$902$	7.04106	+	8.12582i	0.234442	+	0.270560i
$903$	−19.4079	−	17.3278i	−0.645855	−	0.576633i
$904$	−7.77257	+	12.0944i	−0.258512	+	0.402252i
$905$	−16.8415	+	36.8778i	−0.559832	+	1.22586i
$906$	6.87023	+	5.95309i	0.228248	+	0.197778i
$907$	27.8800	+	43.3822i	0.925741	+	1.44048i	0.897567	+	0.440878i	$0.145333\pi$
$907$	27.8800	+	43.3822i	0.925741	+	1.44048i	0.0281736	+	0.999603i	$0.491031\pi$
$908$	3.88517	+	27.0219i	0.128934	+	0.896755i
$909$	15.9947	−	2.29969i	0.530510	−	0.0762758i
$910$	1.23262	−	2.59641i	0.0408609	−	0.0860703i
$911$	−41.6813	−	36.1171i	−1.38096	−	1.19661i	−0.956701	−	0.291072i	$-0.905988\pi$
$911$	−41.6813	−	36.1171i	−1.38096	−	1.19661i	−0.424262	−	0.905539i	$-0.639467\pi$
$912$	0.0908175	+	0.0414750i	0.00300727	+	0.00137337i
$913$	−18.3890	+	28.6139i	−0.608588	+	0.946981i
$914$	0.471757	+	1.60666i	0.0156043	+	0.0531435i
$915$	21.2802	−	18.4394i	0.703502	−	0.609588i
$916$	−32.8277	−	9.63908i	−1.08466	−	0.318484i
$917$	27.9139	+	18.5301i	0.921800	+	0.611916i
$918$	0.263548	+	0.0378924i	0.00869837	+	0.00125064i
$919$			28.7670i			0.948936i	0.880273	+	0.474468i	$0.157360\pi$
$919$			28.7670i			0.948936i	−0.880273	+	0.474468i	$0.842640\pi$
$920$	14.5408	−	20.8825i	0.479395	−	0.688476i
$921$	10.0327			0.330589
$922$	19.3846	+	2.78709i	0.638399	+	0.0917879i
$923$	1.86681	−	0.852542i	0.0614467	−	0.0280618i
$924$	3.32154	+	11.9661i	0.109271	+	0.393655i
$925$	−9.34354	+	8.09623i	−0.307214	+	0.266202i
$926$	10.7639	−	3.16057i	0.353724	−	0.103863i
$927$	5.53165	+	3.55498i	0.181683	+	0.116761i
$928$	8.54873	−	18.7191i	0.280626	−	0.614485i
$929$	15.3987	+	13.3430i	0.505213	+	0.437770i	0.869804	−	0.493398i	$-0.164245\pi$
$929$	15.3987	+	13.3430i	0.505213	+	0.437770i	−0.364590	+	0.931168i	$0.618791\pi$
$930$	−7.53329	+	4.84135i	−0.247026	+	0.158754i
$931$	−0.276771	−	0.0902686i	−0.00907079	−	0.00295843i
$932$	2.30165	+	16.0083i	0.0753931	+	0.524371i
$933$	−22.4699	+	14.4405i	−0.735630	+	0.472761i
$934$	5.32815	−	6.14901i	0.174342	−	0.201202i
$935$	−3.37063	−	1.53932i	−0.110231	−	0.0503410i
$936$	−0.810117	+	1.26057i	−0.0264795	+	0.0412029i
$937$	−28.9740	+	8.50754i	−0.946540	+	0.277929i	−0.718346	−	0.695686i	$-0.755100\pi$
$937$	−28.9740	+	8.50754i	−0.946540	+	0.277929i	−0.228194	+	0.973616i	$0.573282\pi$
$938$	17.3439	+	5.37338i	0.566299	+	0.175447i
$939$	3.34451	−	11.3903i	0.109144	−	0.371710i
$940$	−1.46439	+	0.668766i	−0.0477632	+	0.0218127i
$941$	−1.90797	+	13.2703i	−0.0621982	+	0.432598i	0.934800	+	0.355174i	$0.115579\pi$
$941$	−1.90797	+	13.2703i	−0.0621982	+	0.432598i	−0.996998	+	0.0774237i	$0.975331\pi$
$942$		−	5.85621i		−	0.190806i
$943$	−6.39399	+	35.1680i	−0.208217	+	1.14523i
$944$			16.7362i			0.544718i
$945$	2.86782	+	6.53449i	0.0932901	+	0.212567i
$946$	5.89312	+	12.9041i	0.191602	+	0.419550i
$947$	−10.9240	−	3.20758i	−0.354983	−	0.104232i	0.0993790	−	0.995050i	$-0.468314\pi$
$947$	−10.9240	−	3.20758i	−0.354983	−	0.104232i	−0.454362	+	0.890817i	$0.650133\pi$
$948$	0.462285	+	0.533506i	0.0150143	+	0.0173275i
$949$	−6.30524	+	1.85139i	−0.204677	+	0.0600985i
$950$	0.0420833	+	0.0270453i	0.00136536	+	0.000877466i
$951$	25.1244	+	11.4739i	0.814715	+	0.372068i
$952$	2.58836	+	0.411431i	0.0838892	+	0.0133346i
$953$	0.218039	+	0.339275i	0.00706297	+	0.0109902i	0.844767	−	0.535134i	$-0.179739\pi$
$953$	0.218039	+	0.339275i	0.00706297	+	0.0109902i	−0.837704	+	0.546124i	$0.816103\pi$
$954$	1.23442	−	0.177482i	0.0399657	−	0.00574620i
$955$	−52.7921	+	7.59036i	−1.70831	+	0.245618i
$956$	−16.3445	+	10.5040i	−0.528620	+	0.339723i
$957$	−7.06542	+	8.15393i	−0.228393	+	0.263579i
$958$	−0.0426124	+	0.0933082i	−0.00137675	+	0.00301465i
$959$	−5.10438	−	0.0757343i	−0.164829	−	0.00244559i
$960$	−1.55761	−	5.30475i	−0.0502718	−	0.171210i
$961$	5.51763	+	6.36768i	0.177988	+	0.205409i
$962$	−2.10024	−	0.616686i	−0.0677144	−	0.0198828i
$963$	−1.75185	+	0.800042i	−0.0564525	+	0.0257810i
$964$	5.63884	−	39.2190i	0.181615	−	1.26316i
$965$	−32.2377			−1.03777
$966$	3.91509	−	5.44841i	0.125966	−	0.175300i
$967$	−4.23836			−0.136296			−0.0681482	−	0.997675i	$-0.521709\pi$
$967$	−4.23836			−0.136296			−0.0681482	+	0.997675i	$0.521709\pi$
$968$	−0.995696	+	6.92521i	−0.0320029	+	0.222585i
$969$	−0.0190495	+	0.00869963i	−0.000611959	+	0.000279473i
$970$	−0.290193	−	0.0852085i	−0.00931755	−	0.00273588i
$971$	18.3051	+	21.1252i	0.587438	+	0.677940i	0.969187	−	0.246326i	$-0.0792235\pi$
$971$	18.3051	+	21.1252i	0.587438	+	0.677940i	−0.381749	+	0.924266i	$0.624678\pi$
$972$	−0.484697	−	1.65073i	−0.0155467	−	0.0529471i
$973$	54.2595	+	0.805054i	1.73948	+	0.0258089i
$974$	1.54829	−	3.39029i	0.0496105	−	0.108632i
$975$	1.13473	−	1.30955i	0.0363406	−	0.0419393i
$976$	−21.0835	+	13.5496i	−0.674867	+	0.433711i
$977$	25.4079	−	3.65310i	0.812870	−	0.116873i	0.276671	−	0.960965i	$-0.410769\pi$
$977$	25.4079	−	3.65310i	0.812870	−	0.116873i	0.536199	+	0.844092i	$0.319860\pi$
$978$	−5.30622	+	0.762919i	−0.169674	+	0.0243955i
$979$	−7.75428	−	12.0659i	−0.247828	−	0.385627i
$980$	12.6110	+	29.9340i	0.402844	+	0.956208i
$981$	5.69136	+	2.59916i	0.181711	+	0.0829847i
$982$	12.2778	+	7.89049i	0.391801	+	0.251796i
$983$	−14.0214	+	4.11705i	−0.447213	+	0.131313i	−0.497582	−	0.867417i	$-0.665778\pi$
$983$	−14.0214	+	4.11705i	−0.447213	+	0.131313i	0.0503690	+	0.998731i	$0.483960\pi$
$984$	−9.60157	−	11.0808i	−0.306087	−	0.353243i
$985$	23.4599	+	6.88845i	0.747495	+	0.219484i
$986$	0.437408	+	0.957790i	0.0139299	+	0.0305022i
$987$	−0.840516	+	0.368880i	−0.0267539	+	0.0117416i
$988$		−	0.0545001i		−	0.00173388i
$989$	−21.1670	+	42.1441i	−0.673070	+	1.34010i
$990$		−	3.89095i		−	0.123663i
$991$	−1.55705	+	10.8295i	−0.0494612	+	0.344010i	0.950031	+	0.312155i	$0.101051\pi$
$991$	−1.55705	+	10.8295i	−0.0494612	+	0.344010i	−0.999492	+	0.0318556i	$0.989858\pi$
$992$	29.7216	−	13.5734i	0.943663	−	0.430956i
$993$	−8.22815	+	28.0225i	−0.261112	+	0.889267i
$994$	1.11544	−	3.60036i	0.0353796	−	0.114196i
$995$	−18.7540	+	5.50667i	−0.594542	+	0.174573i
$996$	11.5959	−	18.0436i	0.367431	−	0.571733i
$997$	33.8092	+	15.4402i	1.07075	+	0.488994i	0.871218	−	0.490897i	$-0.163331\pi$
$997$	33.8092	+	15.4402i	1.07075	+	0.488994i	0.199531	+	0.979892i	$0.436058\pi$
$998$	9.72200	−	11.2198i	0.307744	−	0.355156i
$999$	4.57200	−	2.93825i	0.144652	−	0.0929621i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.r.a.475.20	yes	320
7.6	odd	2	inner	483.2.r.a.475.19	yes	320
23.20	odd	22	inner	483.2.r.a.181.19	✓	320
161.20	even	22	inner	483.2.r.a.181.20	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.181.19	✓	320	23.20	odd	22	inner
483.2.r.a.181.20	yes	320	161.20	even	22	inner
483.2.r.a.475.19	yes	320	7.6	odd	2	inner
483.2.r.a.475.20	yes	320	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:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0752500 - 0.523375i) q^{2} +(0.909632 - 0.415415i) q^{3} +(1.65073 + 0.484697i) q^{4} +(-1.76629 - 2.03840i) q^{5} +(-0.148968 - 0.507339i) q^{6} +(0.0392510 - 2.64546i) q^{7} +(0.817203 - 1.78943i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\)	\(q+(0.0752500 - 0.523375i) q^{2} +(0.909632 - 0.415415i) q^{3} +(1.65073 + 0.484697i) q^{4} +(-1.76629 - 2.03840i) q^{5} +(-0.148968 - 0.507339i) q^{6} +(0.0392510 - 2.64546i) q^{7} +(0.817203 - 1.78943i) q^{8} +(0.654861 - 0.755750i) q^{9} +(-1.19976 + 0.771041i) q^{10} +(-2.70050 + 0.388273i) q^{11} +(1.70290 - 0.244841i) q^{12} +(-0.411813 - 0.640793i) q^{13} +(-1.38162 - 0.219614i) q^{14} +(-2.45345 - 1.12046i) q^{15} +(2.01956 + 1.29790i) q^{16} +(-0.483157 + 0.141868i) q^{17} +(-0.346262 - 0.399608i) q^{18} +(0.0399038 + 0.0117168i) q^{19} +(-1.92765 - 4.22096i) q^{20} +(-1.06326 - 2.42270i) q^{21} +1.44259i q^{22} +(-3.73829 + 3.00420i) q^{23} -1.96720i q^{24} +(-0.323746 + 2.25170i) q^{25} +(-0.366364 + 0.167313i) q^{26} +(0.281733 - 0.959493i) q^{27} +(1.34704 - 4.34791i) q^{28} +(3.79441 - 1.11414i) q^{29} +(-0.771041 + 1.19976i) q^{30} +(5.71157 + 2.60838i) q^{31} +(3.40774 - 3.93274i) q^{32} +(-2.29517 + 1.47501i) q^{33} +(0.0378924 + 0.263548i) q^{34} +(-5.46184 + 4.59263i) q^{35} +(1.44731 - 0.930127i) q^{36} +(4.10731 + 3.55900i) q^{37} +(0.00913506 - 0.0200030i) q^{38} +(-0.640793 - 0.411813i) q^{39} +(-5.09099 + 1.49485i) q^{40} +(5.63279 - 4.88084i) q^{41} +(-1.34799 + 0.374176i) q^{42} +(8.94510 - 4.08509i) q^{43} +(-4.64598 - 0.667991i) q^{44} -2.69719 q^{45} +(1.29102 + 2.18259i) q^{46} -0.346933i q^{47} +(2.37623 + 0.341650i) q^{48} +(-6.99692 - 0.207674i) q^{49} +(1.15412 + 0.338881i) q^{50} +(-0.380561 + 0.329758i) q^{51} +(-0.369200 - 1.25738i) q^{52} +(-1.27514 + 1.98415i) q^{53} +(-0.480975 - 0.219654i) q^{54} +(5.56131 + 4.81891i) q^{55} +(-4.70178 - 2.23212i) q^{56} +(0.0411651 - 0.00591865i) q^{57} +(-0.297583 - 2.06974i) q^{58} +(3.76908 + 5.86481i) q^{59} +(-3.50690 - 3.03875i) q^{60} +(-4.33678 + 9.49623i) q^{61} +(1.79496 - 2.79301i) q^{62} +(-1.97360 - 1.76207i) q^{63} +(1.34233 + 1.54913i) q^{64} +(-0.578816 + 1.97127i) q^{65} +(0.599275 + 1.31223i) q^{66} +(-12.8470 - 1.84712i) q^{67} -0.866322 q^{68} +(-2.15248 + 4.28565i) q^{69} +(1.99267 + 3.20419i) q^{70} +(-0.383436 + 2.66686i) q^{71} +(-0.817203 - 1.78943i) q^{72} +(2.43056 - 8.27772i) q^{73} +(2.17177 - 1.88185i) q^{74} +(0.640901 + 2.18271i) q^{75} +(0.0601912 + 0.0386825i) q^{76} +(0.921164 + 7.15930i) q^{77} +(-0.263752 + 0.304386i) q^{78} +(0.221838 + 0.345187i) q^{79} +(-0.921496 - 6.40914i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(-2.13064 - 3.31535i) q^{82} +(8.16416 - 9.42195i) q^{83} +(-0.580876 - 4.51458i) q^{84} +(1.14258 + 0.734289i) q^{85} +(-1.46492 - 4.98905i) q^{86} +(2.98868 - 2.58971i) q^{87} +(-1.51207 + 5.14964i) q^{88} +(2.18387 + 4.78201i) q^{89} +(-0.202964 + 1.41165i) q^{90} +(-1.71136 + 1.06428i) q^{91} +(-7.62702 + 3.14717i) q^{92} +6.27898 q^{93} +(-0.181576 - 0.0261067i) q^{94} +(-0.0465980 - 0.102035i) q^{95} +(1.46607 - 4.99297i) q^{96} +(0.138876 + 0.160271i) q^{97} +(-0.635210 + 3.64639i) q^{98} +(-1.47501 + 2.29517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9	\( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) 320 * q + 4 * q^2 - 36 * q^4 + 12 * q^8 + 32 * q^9 - 4 * q^18 + 52 * q^23 - 68 * q^25 - 88 * q^28 + 24 * q^32 + 28 * q^35 + 14 * q^36 - 44 * q^37 + 110 * q^42 - 44 * q^43 - 154 * q^44 + 40 * q^46 - 16 * q^49 - 166 * q^50 - 44 * q^51 + 110 * q^56 - 44 * q^57 - 62 * q^58 - 84 * q^64 + 72 * q^70 - 40 * q^71 - 12 * q^72 + 22 * q^74 + 72 * q^77 - 8 * q^78 - 88 * q^79 - 32 * q^81 - 304 * q^85 + 330 * q^88 - 412 * q^92 + 24 * q^93 + 148 * q^95 - 60 * q^98 + 44 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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