LMFDB - Embedded newform 483.2.r.a.181.20

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			181.20
Character	$\chi$	$=$	483.181
Dual form			483.2.r.a.475.20

$q$-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 $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{22}\right)$

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	0.998976	+	0.0452352i	$0.0144037\pi$
$2$	0.0752500	+	0.523375i	0.0532098	+	0.370082i	−0.945767	+	0.324847i	$0.894687\pi$
$3$	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	−0.997783	−	0.0665536i	$-0.978800\pi$
$5$	−1.76629	+	2.03840i	−0.789907	+	0.911602i	0.207875	+	0.978155i	$0.433345\pi$
$6$	−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	−0.277396	−	0.960756i	$-0.589471\pi$
$11$	−2.70050	−	0.388273i	−0.814231	−	0.117069i	−0.536835	+	0.843687i	$0.680380\pi$
$12$	1.70290	+	0.244841i	0.491586	+	0.0706794i
$13$	−0.411813	+	0.640793i	−0.114216	+	0.177724i	−0.893655	−	0.448754i	$-0.851868\pi$
$13$	−0.411813	+	0.640793i	−0.114216	+	0.177724i	0.779439	+	0.626478i	$0.215504\pi$
$14$	−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	0.222615	−	0.974906i	$-0.428541\pi$
$17$	−0.483157	−	0.141868i	−0.117183	−	0.0344079i	−0.339798	+	0.940498i	$0.610359\pi$
$18$	−0.346262	+	0.399608i	−0.0816148	+	0.0941885i
$19$	0.0399038	−	0.0117168i	0.00915457	−	0.00268802i	−0.277152	−	0.960826i	$-0.589391\pi$
$19$	0.0399038	−	0.0117168i	0.00915457	−	0.00268802i	0.286307	+	0.958138i	$0.407572\pi$
$20$	−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	0.614356	−	0.789029i	$-0.289416\pi$
$29$	3.79441	+	1.11414i	0.704603	+	0.206890i	0.0902476	+	0.995919i	$0.471234\pi$
$30$	−0.771041	−	1.19976i	−0.140772	−	0.219046i
$31$	5.71157	−	2.60838i	1.02583	−	0.468480i	0.169837	−	0.985472i	$-0.445676\pi$
$31$	5.71157	−	2.60838i	1.02583	−	0.468480i	0.855990	+	0.516992i	$0.172948\pi$
$32$	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	−0.248263	−	0.968693i	$-0.579860\pi$
$37$	4.10731	−	3.55900i	0.675238	−	0.585097i	0.923501	+	0.383596i	$0.125314\pi$
$38$	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	0.972372	−	0.233437i	$-0.0749973\pi$
$41$	5.63279	+	4.88084i	0.879694	+	0.762259i	−0.0926782	+	0.995696i	$0.529543\pi$
$42$	−1.34799	−	0.374176i	−0.208000	−	0.0577366i
$43$	8.94510	+	4.08509i	1.36412	+	0.622971i	0.956915	−	0.290368i	$-0.0937777\pi$
$43$	8.94510	+	4.08509i	1.36412	+	0.622971i	0.407201	+	0.913339i	$0.366505\pi$
$44$	−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	$0.00805497\pi$
$47$			0.346933i			0.0506054i	−0.999680	+	0.0253027i	$0.991945\pi$
$48$	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	0.742566	−	0.669773i	$-0.233608\pi$
$53$	−1.27514	−	1.98415i	−0.175154	−	0.272545i	−0.917720	+	0.397228i	$0.869972\pi$
$54$	−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	−0.504295	−	0.863532i	$-0.668248\pi$
$59$	3.76908	−	5.86481i	0.490693	−	0.763533i	0.994988	+	0.0999988i	$0.0318839\pi$
$60$	−3.50690	+	3.03875i	−0.452739	+	0.392301i
$61$	−4.33678	−	9.49623i	−0.555268	−	1.21587i	−0.954278	−	0.298921i	$-0.903373\pi$
$61$	−4.33678	−	9.49623i	−0.555268	−	1.21587i	0.399010	−	0.916947i	$-0.369354\pi$
$62$	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	−0.871488	−	0.490417i	$-0.836845\pi$
$67$	−12.8470	+	1.84712i	−1.56951	+	0.225661i	−0.698020	+	0.716078i	$0.745936\pi$
$68$	−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	−0.999842	−	0.0177645i	$-0.994345\pi$
$71$	−0.383436	−	2.66686i	−0.0455055	−	0.316498i	0.954337	−	0.298733i	$-0.0965640\pi$
$72$	−0.817203	+	1.78943i	−0.0963083	+	0.210886i
$73$	2.43056	+	8.27772i	0.284475	+	0.968834i	0.970469	+	0.241226i	$0.0775496\pi$
$73$	2.43056	+	8.27772i	0.284475	+	0.968834i	−0.685994	+	0.727608i	$0.740632\pi$
$74$	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	−0.828550	−	0.559915i	$-0.810834\pi$
$79$	0.221838	−	0.345187i	0.0249588	−	0.0388366i	0.853509	+	0.521078i	$0.174470\pi$
$80$	−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	0.999219	+	0.0395204i	$0.0125830\pi$
$83$	8.16416	+	9.42195i	0.896133	+	1.03419i	−0.103085	+	0.994672i	$0.532872\pi$
$84$	−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	−0.757866	−	0.652411i	$-0.773758\pi$
$89$	2.18387	−	4.78201i	0.231490	−	0.506892i	0.989356	+	0.145518i	$0.0464850\pi$
$90$	−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	−0.748655	−	0.662959i	$-0.769300\pi$
$97$	0.138876	−	0.160271i	0.0141007	−	0.0162731i	0.762756	+	0.646686i	$0.223846\pi$
$98$	−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	0.218137	−	0.975918i	$-0.430002\pi$
$101$	12.2123	−	10.5820i	1.21517	−	1.05295i	0.997029	−	0.0770293i	$-0.0245435\pi$
$102$	0.143950	−	0.223990i	0.0142532	−	0.0221784i
$103$	0.935789	−	6.50856i	0.0922060	−	0.641307i	−0.890341	−	0.455294i	$-0.849534\pi$
$103$	0.935789	−	6.50856i	0.0922060	−	0.641307i	0.982547	−	0.186013i	$-0.0595567\pi$
$104$	−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	−0.498290	−	0.867010i	$-0.666038\pi$
$107$	−1.75185	+	0.800042i	−0.169358	+	0.0773430i	0.328932	+	0.944353i	$0.393311\pi$
$108$	0.930127	+	1.44731i	0.0895015	+	0.139267i
$109$	1.76274	−	6.00333i	0.168840	−	0.575015i	−0.830985	−	0.556295i	$-0.812223\pi$
$109$	1.76274	−	6.00333i	0.168840	−	0.575015i	0.999825	−	0.0187203i	$-0.00595919\pi$
$110$	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	−0.473890	−	0.880584i	$-0.657151\pi$
$113$	−7.23377	+	1.04006i	−0.680496	+	0.0978405i	−0.206605	+	0.978424i	$0.566242\pi$
$114$			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	−0.865112	−	0.501578i	$-0.832753\pi$
$127$	1.19758	−	8.32934i	0.106268	−	0.739109i	0.971380	−	0.237531i	$-0.0763380\pi$
$128$	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	−0.999887	−	0.0150111i	$-0.995222\pi$
$131$	−6.84641	−	10.6532i	−0.598174	−	0.930776i	0.401714	−	0.915765i	$-0.368415\pi$
$132$	−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	$0.0262661\pi$
$137$			1.92949i			0.164847i	−0.996597	+	0.0824236i	$0.973734\pi$
$138$	2.08103	−	1.44905i	0.177149	−	0.123351i
$139$		−	20.5104i		−	1.73967i	−0.493342	−	0.869835i	$-0.664225\pi$
$139$		−	20.5104i		−	1.73967i	0.493342	−	0.869835i	$-0.335775\pi$
$140$	−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	0.366152	−	0.930555i	$-0.380675\pi$
$149$	5.55769	+	0.799076i	0.455304	+	0.0654628i	0.0891523	+	0.996018i	$0.471584\pi$
$150$	1.19060	+	0.171183i	0.0972124	+	0.0139770i
$151$	−14.4632	−	9.29492i	−1.17700	−	0.756410i	−0.202165	−	0.979351i	$-0.564798\pi$
$151$	−14.4632	−	9.29492i	−1.17700	−	0.756410i	−0.974832	+	0.222941i	$0.928434\pi$
$152$	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	0.171331	−	0.985214i	$-0.445193\pi$
$157$	10.6268	−	3.12031i	0.848110	−	0.249028i	0.676779	+	0.736186i	$0.263375\pi$
$158$	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	0.964960	+	0.262395i	$0.0845125\pi$
$163$	1.44285	+	10.0353i	0.113013	+	0.786023i	−0.851947	+	0.523627i	$0.824578\pi$
$164$	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	−0.982812	−	0.184611i	$-0.940897\pi$
$167$	−0.726388	+	2.47385i	−0.0562096	+	0.191432i	0.926602	+	0.376043i	$0.122716\pi$
$168$	−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	−0.420257	−	0.907405i	$-0.638060\pi$
$173$	−14.1938	−	2.04076i	−1.07914	−	0.155156i	−0.658879	+	0.752249i	$0.728969\pi$
$174$	−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	−0.990759	−	0.135637i	$-0.956692\pi$
$179$	−9.57278	+	11.0476i	−0.715503	+	0.825734i	0.275256	+	0.961371i	$0.411237\pi$
$180$	−4.45233	+	1.30732i	−0.331857	+	0.0974420i
$181$	−6.24410	+	13.6727i	−0.464120	+	1.01628i	0.522409	+	0.852695i	$0.325034\pi$
$181$	−6.24410	+	13.6727i	−0.464120	+	1.01628i	−0.986529	+	0.163586i	$0.947694\pi$
$182$	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	0.974569	+	0.224089i	$0.0719406\pi$
$191$	10.6908	+	16.6352i	0.773557	+	1.20368i	−0.201012	+	0.979589i	$0.564423\pi$
$192$	1.86456	−	0.851516i	0.134563	−	0.0614529i
$193$	7.82709	+	9.03294i	0.563406	+	0.650206i	0.963954	−	0.266071i	$-0.0857254\pi$
$193$	7.82709	+	9.03294i	0.563406	+	0.650206i	−0.400547	+	0.916276i	$0.631180\pi$
$194$	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	0.240008	−	0.970771i	$-0.422850\pi$
$197$	−7.62604	−	4.90096i	−0.543333	−	0.349179i	−0.783341	+	0.621592i	$0.786486\pi$
$198$	1.09024	−	0.944697i	0.0774799	−	0.0671367i
$199$	3.01039	+	6.59182i	0.213401	+	0.467282i	0.985815	−	0.167837i	$-0.0536783\pi$
$199$	3.01039	+	6.59182i	0.213401	+	0.467282i	−0.772414	+	0.635119i	$0.780951\pi$
$200$	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	−0.808470	−	0.588537i	$-0.799704\pi$
$211$	−17.0012	+	4.99201i	−1.17041	+	0.343664i	−0.361941	+	0.932201i	$0.617886\pi$
$212$	−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	0.989650	−	0.143504i	$-0.0458369\pi$
$223$	6.69005	+	10.4099i	0.447999	+	0.697100i	−0.541651	+	0.840604i	$0.682201\pi$
$224$	−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	−0.554529	−	0.832164i	$-0.687102\pi$
$227$	6.59187	−	14.4342i	0.437518	−	0.958030i	0.992047	−	0.125866i	$-0.0401710\pi$
$228$	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	−0.737515	−	0.675331i	$-0.764001\pi$
$233$	3.90516	−	8.55110i	0.255835	−	0.560201i	0.993351	+	0.115129i	$0.0367283\pi$
$234$	−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	0.464352	−	0.885651i	$-0.346287\pi$
$239$	−7.39539	−	8.53473i	−0.478368	−	0.552066i	−0.942720	+	0.333585i	$0.891742\pi$
$240$	−3.50068	+	5.44716i	−0.225968	+	0.351613i
$241$	−3.27761	+	22.7962i	−0.211129	+	1.46844i	0.558266	+	0.829662i	$0.311467\pi$
$241$	−3.27761	+	22.7962i	−0.211129	+	1.46844i	−0.769395	+	0.638773i	$0.779442\pi$
$242$	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	−0.722407	−	0.691468i	$-0.756964\pi$
$251$	−3.54996	−	24.6905i	−0.224072	−	1.55845i	0.498336	−	0.866984i	$-0.333945\pi$
$252$	−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	0.653446	+	0.756973i	$0.273323\pi$
$257$	8.22374	+	28.0075i	0.512983	+	1.74706i	−0.140463	+	0.990086i	$0.544859\pi$
$258$	−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	−0.000208419	−	1.00000i	$-0.500066\pi$
$263$	14.7498	−	22.9511i	0.909510	−	1.41523i	0.909719	−	0.415225i	$-0.136297\pi$
$264$	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	0.947949	−	0.318423i	$-0.103153\pi$
$269$	4.33828	+	6.75049i	0.264509	+	0.411585i	−0.683440	+	0.730007i	$0.739517\pi$
$270$	0.401796	−	1.36839i	0.0244525	−	0.0832777i
$271$	−6.38050	−	5.52874i	−0.387588	−	0.335847i	0.439171	−	0.898404i	$-0.355272\pi$
$271$	−6.38050	−	5.52874i	−0.387588	−	0.335847i	−0.826759	+	0.562557i	$0.809818\pi$
$272$	−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	0.985805	−	0.167897i	$-0.0536976\pi$
$281$	16.0910	+	13.9430i	0.959911	+	0.831768i	−0.0258935	+	0.999665i	$0.508243\pi$
$282$	−0.176013	−	0.0516820i	−0.0104814	−	0.00307762i
$283$	−17.2007	+	11.0542i	−1.02248	+	0.657105i	−0.940593	−	0.339537i	$-0.889730\pi$
$283$	−17.2007	+	11.0542i	−1.02248	+	0.657105i	−0.0818824	+	0.996642i	$0.526093\pi$
$284$	−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	0.193237	−	0.981152i	$-0.438101\pi$
$293$	−2.98957	−	0.877817i	−0.174653	−	0.0512826i	−0.367890	+	0.929869i	$0.619920\pi$
$294$	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	−0.137599	−	0.990488i	$-0.543939\pi$
$307$	9.12608	−	4.16774i	0.520853	−	0.237866i	0.658452	+	0.752622i	$0.271211\pi$
$308$	−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	−0.656641	−	0.754203i	$-0.728023\pi$
$311$	−26.4381	−	3.80123i	−1.49917	−	0.215548i	−0.842526	+	0.538655i	$0.818933\pi$
$312$	−1.26057	−	0.810117i	−0.0713655	−	0.0458638i
$313$	7.77399	+	8.97166i	0.439412	+	0.507108i	0.931652	−	0.363351i	$-0.118367\pi$
$313$	7.77399	+	8.97166i	0.439412	+	0.507108i	−0.492240	+	0.870459i	$0.663822\pi$
$314$	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	0.0309552	−	0.999521i	$-0.490145\pi$
$317$	18.0875	−	20.8741i	1.01590	−	1.17241i	0.984942	−	0.172887i	$-0.0553095\pi$
$318$	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	−0.976394	−	0.215995i	$-0.930700\pi$
$331$	−19.1256	−	22.0721i	−1.05124	−	1.21319i	−0.0748412	−	0.997195i	$-0.523845\pi$
$332$	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	−0.133706	−	0.991021i	$-0.542688\pi$
$337$	9.68728	−	4.42403i	0.527700	−	0.240992i	0.661405	+	0.750029i	$0.269960\pi$
$338$	−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	−0.977206	−	0.212294i	$-0.931907\pi$
$347$	−1.85150	−	12.8775i	−0.0993939	−	0.691300i	0.877812	−	0.479005i	$-0.159003\pi$
$348$	6.18872	+	2.82630i	0.331750	+	0.151505i
$349$	8.98132	+	30.5876i	0.480759	+	1.63732i	0.740806	+	0.671719i	$0.234444\pi$
$349$	8.98132	+	30.5876i	0.480759	+	1.63732i	−0.260047	+	0.965596i	$0.583738\pi$
$350$	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	−0.939162	−	0.343476i	$-0.888396\pi$
$353$	−24.3233	+	11.1081i	−1.29460	+	0.591224i	−0.355438	+	0.934700i	$0.615668\pi$
$354$	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	−0.195395	−	0.980725i	$-0.562599\pi$
$359$	14.1638	−	12.2730i	0.747539	−	0.647746i	0.942935	+	0.332978i	$0.108054\pi$
$360$	−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	0.310513	−	0.950569i	$-0.399499\pi$
$373$	−11.3212	−	9.80988i	−0.586190	−	0.507937i	−0.896703	+	0.442633i	$0.854045\pi$
$374$	−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	0.457184	−	0.889372i	$-0.348858\pi$
$379$	12.5623	+	1.80619i	0.645283	+	0.0927777i	0.188099	+	0.982150i	$0.439767\pi$
$380$	−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	−0.997174	−	0.0751306i	$-0.976063\pi$
$383$	−7.84662	−	17.1817i	−0.400944	−	0.877944i	0.596230	−	0.802814i	$-0.296665\pi$
$384$	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	0.725863	−	0.687840i	$-0.241441\pi$
$389$	31.8747	−	4.58288i	1.61611	−	0.232361i	0.890247	+	0.455478i	$0.150532\pi$
$390$	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	0.207733	+	0.978186i	$0.433391\pi$
$397$	−9.88014	+	33.6487i	−0.495870	+	1.68878i	−0.703603	+	0.710593i	$0.748427\pi$
$398$	−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	0.278519	+	0.960431i	$0.410157\pi$
$401$	−14.2342	+	22.1488i	−0.710821	+	1.10606i	−0.989339	+	0.145628i	$0.953480\pi$
$402$	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	0.889895	−	0.456166i	$-0.150778\pi$
$409$	11.4268	+	9.90134i	0.565017	+	0.489590i	−0.324878	+	0.945756i	$0.605323\pi$
$410$	−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	−0.923918	−	0.382590i	$-0.875032\pi$
$419$	−8.46895	+	9.77369i	−0.413735	+	0.477476i	0.510183	+	0.860066i	$0.329578\pi$
$420$	−8.17653	−	9.15809i	−0.398974	−	0.446869i
$421$	10.5242	+	16.3759i	0.512917	+	0.798115i	0.997040	−	0.0768852i	$-0.0244975\pi$
$421$	10.5242	+	16.3759i	0.512917	+	0.798115i	−0.484123	+	0.875000i	$0.660861\pi$
$422$	−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	0.690831	+	0.723016i	$0.257245\pi$
$431$	−5.83839	+	19.8837i	−0.281225	+	0.957765i	−0.972056	+	0.234749i	$0.924573\pi$
$432$	1.81430	+	1.57210i	0.0872905	+	0.0756376i
$433$	33.3745	−	9.79963i	1.60388	−	0.470940i	0.647254	−	0.762274i	$-0.275917\pi$
$433$	33.3745	−	9.79963i	1.60388	−	0.470940i	0.956621	+	0.291334i	$0.0940991\pi$
$434$	−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	0.613790	−	0.789469i	$-0.289644\pi$
$439$	29.8599	−	4.29321i	1.42514	−	0.204904i	0.811347	+	0.584565i	$0.198735\pi$
$440$	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	0.324596	−	0.945853i	$-0.394772\pi$
$443$	1.81632	+	0.533321i	0.0862962	+	0.0253388i	−0.238299	+	0.971192i	$0.576590\pi$
$444$	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	−0.816639	−	0.577149i	$-0.804165\pi$
$449$	2.74453	−	19.0886i	0.129522	−	0.900847i	0.946161	−	0.323697i	$-0.104926\pi$
$450$	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	0.346898	−	0.937903i	$-0.387235\pi$
$457$	−2.88065	−	1.31555i	−0.134751	−	0.0615388i	−0.481650	+	0.876364i	$0.659962\pi$
$458$	−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	$-0.668892\pi$
$461$		−	37.0377i		−	1.72502i	0.506042	−	0.862509i	$-0.331108\pi$
$462$	3.49497	+	1.53385i	0.162601	+	0.0713612i
$463$	8.81360	−	19.2991i	0.409603	−	0.896905i	−0.586603	−	0.809875i	$-0.699535\pi$
$463$	8.81360	−	19.2991i	0.409603	−	0.896905i	0.996206	−	0.0870304i	$-0.0277377\pi$
$464$	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	−0.205707	−	0.978614i	$-0.565949\pi$
$467$	12.9449	−	8.31916i	0.599017	−	0.384965i	0.804724	+	0.593649i	$0.202313\pi$
$468$	−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	−0.285982	−	0.958235i	$-0.592320\pi$
$479$	−0.186140	+	0.0546556i	−0.00850495	+	0.00249728i	0.277477	+	0.960732i	$0.410502\pi$
$480$	−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	−0.124880	−	0.992172i	$-0.539855\pi$
$487$	6.76326	−	1.98587i	0.306473	−	0.0899885i	0.431353	+	0.902183i	$0.358036\pi$
$488$	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	−0.970391	−	0.241540i	$-0.922347\pi$
$491$	−11.4662	−	25.1075i	−0.517464	−	1.13309i	0.452927	−	0.891548i	$-0.350380\pi$
$492$	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	0.108147	−	0.994135i	$-0.465508\pi$
$499$	23.6198	−	15.1796i	1.05737	−	0.679530i	0.949223	+	0.314605i	$0.101872\pi$
$500$	−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	−0.949428	−	0.313983i	$-0.898336\pi$
$503$	−2.02728	+	4.43913i	−0.0903921	+	0.197931i	0.859036	+	0.511915i	$0.171064\pi$
$504$	−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	0.645779	−	0.763524i	$-0.276533\pi$
$509$	11.0919	+	5.06552i	0.491642	+	0.224525i	−0.154138	+	0.988049i	$0.549260\pi$
$510$	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	0.711182	−	0.703008i	$-0.248160\pi$
$521$	−6.52445	−	14.2866i	−0.285842	−	0.625906i	−0.997023	+	0.0771026i	$0.975433\pi$
$522$	−1.75908	+	1.13049i	−0.0769928	+	0.0494803i
$523$	−36.6206	−	10.7528i	−1.60131	−	0.470187i	−0.645399	−	0.763846i	$-0.723309\pi$
$523$	−36.6206	−	10.7528i	−1.60131	−	0.470187i	−0.955910	+	0.293659i	$0.905127\pi$
$524$	−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	0.927313	+	0.374287i	$0.122113\pi$
$541$	−1.57899	+	10.9821i	−0.0678863	+	0.472159i	−0.995199	+	0.0978719i	$0.968796\pi$
$542$	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	−0.463746	−	0.885968i	$-0.653495\pi$
$547$	11.2076	−	12.9342i	0.479202	−	0.553028i	0.942948	+	0.332940i	$0.108041\pi$
$548$	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	0.999969	+	0.00789362i	$0.00251264\pi$
$557$	27.1432	+	23.5197i	1.15009	+	0.996561i	0.150124	+	0.988667i	$0.452033\pi$
$558$	−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	0.686416	+	0.727209i	$0.259183\pi$
$563$	−4.20154	+	29.2223i	−0.177074	+	1.23157i	−0.863490	+	0.504366i	$0.831726\pi$
$564$	−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	0.671108	+	0.741360i	$0.265819\pi$
$569$	−7.01952	+	23.9063i	−0.294273	+	1.00220i	−0.965381	+	0.260843i	$0.915999\pi$
$570$	−0.0448249	−	0.0388410i	−0.00187751	−	0.00162687i
$571$	−8.68031	−	29.5624i	−0.363260	−	1.23715i	−0.915109	−	0.403206i	$-0.867896\pi$
$571$	−8.68031	−	29.5624i	−0.363260	−	1.23715i	0.551850	−	0.833944i	$-0.313922\pi$
$572$	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	0.0840116	−	0.996465i	$-0.473227\pi$
$577$	10.6978	−	1.53812i	0.445357	−	0.0640326i	0.361345	+	0.932432i	$0.382318\pi$
$578$	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	0.685899	−	0.727697i	$-0.259409\pi$
$587$	27.5957	+	3.96767i	1.13900	+	0.163763i	0.453099	+	0.891460i	$0.350318\pi$
$588$	−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	0.934709	−	0.355415i	$-0.115661\pi$
$593$	17.4341	+	15.1068i	0.715934	+	0.620360i	−0.218775	+	0.975775i	$0.570206\pi$
$594$	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	−0.233031	−	0.972469i	$-0.574864\pi$
$601$	−27.4713	−	12.5457i	−1.12058	−	0.511750i	−0.887546	+	0.460719i	$0.847592\pi$
$602$	−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	−0.995727	−	0.0923428i	$-0.970564\pi$
$607$	−25.7715	+	22.3311i	−1.04603	+	0.906391i	−0.0503039	+	0.998734i	$0.516019\pi$
$608$	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	−0.566858	−	0.823816i	$-0.691841\pi$
$613$	−7.81072	+	3.56703i	−0.315472	+	0.144071i	0.251386	+	0.967887i	$0.419114\pi$
$614$	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	0.860464	−	0.509511i	$-0.170174\pi$
$617$	−3.44938	−	11.7475i	−0.138867	−	0.472936i	−0.999331	+	0.0365745i	$0.988355\pi$
$618$	3.16264	+	1.44433i	0.127220	+	0.0580995i
$619$	−2.41698	−	16.8105i	−0.0971467	−	0.675670i	−0.978957	−	0.204066i	$-0.934584\pi$
$619$	−2.41698	−	16.8105i	−0.0971467	−	0.675670i	0.881810	−	0.471604i	$-0.156325\pi$
$620$			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	−0.279826	−	0.960051i	$-0.590277\pi$
$631$	17.8277	−	27.7405i	0.709711	−	1.10433i	0.989537	−	0.144281i	$-0.0460868\pi$
$632$	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	0.704670	−	0.709535i	$-0.251095\pi$
$641$	15.9478	+	7.28311i	0.629900	+	0.287666i	−0.0747703	+	0.997201i	$0.523822\pi$
$642$	−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	0.00322288	−	0.999995i	$-0.498974\pi$
$647$	−19.0876	−	8.71703i	−0.750412	−	0.342702i	−0.753635	+	0.657293i	$0.771701\pi$
$648$	−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	0.737456	−	0.675395i	$-0.236027\pi$
$653$	−0.920325	−	1.06211i	−0.0360151	−	0.0415637i	−0.773471	+	0.633831i	$0.781481\pi$
$654$	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	0.647161	−	0.762354i	$-0.275956\pi$
$659$	42.2829	−	19.3100i	1.64711	−	0.752210i	0.999949	+	0.0101439i	$0.00322895\pi$
$660$	10.6502	−	6.84450i	0.414560	−	0.266422i
$661$	−35.5521	−	10.4390i	−1.38282	−	0.406032i	−0.496069	−	0.868283i	$-0.665224\pi$
$661$	−35.5521	−	10.4390i	−1.38282	−	0.406032i	−0.886749	+	0.462251i	$0.847042\pi$
$662$	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	0.629103	−	0.777322i	$-0.283422\pi$
$673$	19.1476	+	5.62224i	0.738086	+	0.216722i	0.108983	+	0.994044i	$0.465241\pi$
$674$	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	0.774971	−	0.631997i	$-0.217765\pi$
$677$	13.5826	+	8.72899i	0.522020	+	0.335482i	−0.252950	+	0.967479i	$0.581401\pi$
$678$	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	−0.472463	+	0.881351i	$0.656635\pi$
$683$	−38.4288	+	24.6967i	−1.47044	+	0.944992i	−0.997973	+	0.0636412i	$0.979729\pi$
$684$	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	$0.0411767\pi$
$691$			6.78201i			0.258000i	−0.991645	+	0.129000i	$0.958823\pi$
$692$	−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	−0.0600232	−	0.998197i	$-0.519117\pi$
$701$	−10.5598	−	1.51828i	−0.398840	−	0.0573445i	−0.338816	+	0.940853i	$0.610027\pi$
$702$	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	−0.965688	−	0.259704i	$-0.916375\pi$
$709$	−7.82053	−	26.6343i	−0.293706	−	1.00027i	0.671982	−	0.740568i	$-0.265443\pi$
$710$	−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	−0.968280	−	0.249867i	$-0.919613\pi$
$719$	−0.499350	+	1.70063i	−0.0186226	+	0.0634228i	0.949657	+	0.313290i	$0.101431\pi$
$720$	−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	0.703434	−	0.710761i	$-0.251649\pi$
$727$	−2.70173	−	3.11796i	−0.100202	−	0.115639i	−0.803635	+	0.595122i	$0.797104\pi$
$728$	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	−0.268303	−	0.963335i	$-0.586463\pi$
$733$	17.2038	−	37.6711i	0.635438	−	1.39141i	0.903741	−	0.428080i	$-0.140810\pi$
$734$	−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	−0.839832	−	0.542847i	$-0.817346\pi$
$739$	3.27295	−	7.16676i	0.120397	−	0.263633i	0.960229	+	0.279213i	$0.0900737\pi$
$740$	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	0.628540	−	0.777777i	$-0.283653\pi$
$743$	−9.26924	−	14.4232i	−0.340056	−	0.529137i	−0.968596	+	0.248640i	$0.920016\pi$
$744$	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	−0.947790	−	0.318895i	$-0.896688\pi$
$751$	−36.3781	+	16.6133i	−1.32746	+	0.606229i	−0.379666	+	0.925124i	$0.623961\pi$
$752$	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	0.370123	−	0.928983i	$-0.379316\pi$
$757$	27.1553	−	3.90435i	0.986977	−	0.141906i	0.616855	+	0.787077i	$0.288407\pi$
$758$			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	−0.598849	−	0.800862i	$-0.704375\pi$
$761$	−26.1465	+	3.75930i	−0.947811	+	0.136275i	−0.348962	+	0.937137i	$0.613466\pi$
$762$	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	0.981349	−	0.192234i	$-0.0615734\pi$
$769$	33.6695	+	21.6381i	1.21415	+	0.780289i	0.232805	+	0.972524i	$0.425210\pi$
$770$	−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	0.512911	−	0.858442i	$-0.328567\pi$
$773$	−11.3933	−	13.1486i	−0.409789	−	0.472921i	−0.922699	+	0.385521i	$0.874022\pi$
$774$	−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	−0.0838191	+	0.996481i	$0.526712\pi$
$787$	−29.6870	+	34.2607i	−1.05823	+	1.22126i	−0.974410	+	0.224780i	$0.927834\pi$
$788$	−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	−0.996482	−	0.0838092i	$-0.973291\pi$
$797$	−11.4975	−	25.1761i	−0.407264	−	0.891783i	0.589218	−	0.807974i	$-0.299436\pi$
$798$	−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	−0.163466	−	0.986549i	$-0.552267\pi$
$809$	6.60976	−	1.94080i	0.232387	−	0.0682349i	0.395853	+	0.918314i	$0.370449\pi$
$810$	0.933937	−	1.07782i	0.0328152	−	0.0378708i
$811$	3.03220	−	10.3267i	0.106475	−	0.362620i	−0.888969	−	0.457967i	$-0.848578\pi$
$811$	3.03220	−	10.3267i	0.106475	−	0.362620i	0.995444	+	0.0953469i	$0.0303960\pi$
$812$	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	−0.679315	−	0.733847i	$-0.737723\pi$
$821$	−8.42349	+	5.41345i	−0.293982	+	0.188931i	0.385333	+	0.922778i	$0.374087\pi$
$822$	−0.978904	−	0.287432i	−0.0341432	−	0.0100253i
$823$	−6.62982	+	7.65122i	−0.231101	+	0.266705i	−0.859442	−	0.511233i	$-0.829189\pi$
$823$	−6.62982	+	7.65122i	−0.231101	+	0.266705i	0.628341	+	0.777938i	$0.283734\pi$
$824$	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	$-0.824721\pi$
$827$		−	30.0945i		−	1.04649i	0.852182	−	0.523245i	$-0.175279\pi$
$828$	−2.61616	−	7.82507i	−0.0909180	−	0.271940i
$829$		−	18.0468i		−	0.626792i	−0.949622	−	0.313396i	$-0.898533\pi$
$829$		−	18.0468i		−	0.626792i	0.949622	−	0.313396i	$-0.101467\pi$
$830$	−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	0.864229	+	0.503099i	$0.167807\pi$
$839$	−3.09155	+	21.5022i	−0.106732	+	0.742338i	−0.970961	+	0.239239i	$0.923102\pi$
$840$	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	−0.480185	−	0.877167i	$-0.659431\pi$
$853$	−20.2630	+	2.91339i	−0.693793	+	0.0997524i	−0.213608	+	0.976919i	$0.568522\pi$
$854$	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	−0.984966	−	0.172748i	$-0.944735\pi$
$857$	−1.84328	+	6.27765i	−0.0629654	+	0.214440i	0.922001	+	0.387188i	$0.126554\pi$
$858$	0.594078	+	0.924403i	0.0202815	+	0.0315586i
$859$	9.97149	−	4.55383i	0.340223	−	0.155375i	−0.237975	−	0.971271i	$-0.576484\pi$
$859$	9.97149	−	4.55383i	0.340223	−	0.155375i	0.578198	+	0.815897i	$0.303756\pi$
$860$	−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	0.826552	+	0.562861i	$0.190299\pi$
$863$	−3.67490	+	25.5595i	−0.125095	+	0.870055i	−0.951647	+	0.307194i	$0.900610\pi$
$864$	−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	−0.984570	−	0.174993i	$-0.944010\pi$
$877$	−6.14679	+	13.4596i	−0.207562	+	0.454498i	0.777007	+	0.629492i	$0.216737\pi$
$878$	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	−0.984210	−	0.177004i	$-0.943359\pi$
$881$	−36.5695	+	23.5018i	−1.23206	+	0.791795i	−0.247847	+	0.968799i	$0.579723\pi$
$882$	2.33978	−	2.86794i	0.0787846	−	0.0965684i
$883$	29.6690	+	34.2399i	0.998441	+	1.15226i	0.988332	+	0.152314i	$0.0486724\pi$
$883$	29.6690	+	34.2399i	0.998441	+	1.15226i	0.0101092	+	0.999949i	$0.496782\pi$
$884$	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	−0.977561	−	0.210653i	$-0.932441\pi$
$887$	−11.3129	+	17.6032i	−0.379850	+	0.591059i	0.597710	+	0.801712i	$0.296077\pi$
$888$	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	0.0281736	−	0.999603i	$-0.491031\pi$
$907$	27.8800	−	43.3822i	0.925741	−	1.44048i	0.897567	−	0.440878i	$-0.145333\pi$
$908$	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	−0.424262	+	0.905539i	$0.639467\pi$
$911$	−41.6813	+	36.1171i	−1.38096	+	1.19661i	−0.956701	+	0.291072i	$0.905988\pi$
$912$	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	$-0.842640\pi$
$919$		−	28.7670i		−	0.948936i	0.880273	−	0.474468i	$-0.157360\pi$
$920$	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	−0.364590	−	0.931168i	$-0.618791\pi$
$929$	15.3987	−	13.3430i	0.505213	−	0.437770i	0.869804	+	0.493398i	$0.164245\pi$
$930$	−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	−0.228194	−	0.973616i	$-0.573282\pi$
$937$	−28.9740	−	8.50754i	−0.946540	−	0.277929i	−0.718346	+	0.695686i	$0.755100\pi$
$938$	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	−0.996998	−	0.0774237i	$-0.975331\pi$
$941$	−1.90797	−	13.2703i	−0.0621982	−	0.432598i	0.934800	−	0.355174i	$-0.115579\pi$
$942$			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	−0.454362	−	0.890817i	$-0.650133\pi$
$947$	−10.9240	+	3.20758i	−0.354983	+	0.104232i	0.0993790	+	0.995050i	$0.468314\pi$
$948$	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	−0.837704	−	0.546124i	$-0.816103\pi$
$953$	0.218039	−	0.339275i	0.00706297	−	0.0109902i	0.844767	+	0.535134i	$0.179739\pi$
$954$	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	−0.381749	−	0.924266i	$-0.624678\pi$
$971$	18.3051	−	21.1252i	0.587438	−	0.677940i	0.969187	+	0.246326i	$0.0792235\pi$
$972$	−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	0.536199	−	0.844092i	$-0.319860\pi$
$977$	25.4079	+	3.65310i	0.812870	+	0.116873i	0.276671	+	0.960965i	$0.410769\pi$
$978$	−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	0.0503690	−	0.998731i	$-0.483960\pi$
$983$	−14.0214	−	4.11705i	−0.447213	−	0.131313i	−0.497582	+	0.867417i	$0.665778\pi$
$984$	−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	−0.999492	−	0.0318556i	$-0.989858\pi$
$991$	−1.55705	−	10.8295i	−0.0494612	−	0.344010i	0.950031	−	0.312155i	$-0.101051\pi$
$992$	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	0.199531	−	0.979892i	$-0.436058\pi$
$997$	33.8092	−	15.4402i	1.07075	−	0.488994i	0.871218	+	0.490897i	$0.163331\pi$
$998$	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.181.20	yes	320
7.6	odd	2	inner	483.2.r.a.181.19	✓	320
23.15	odd	22	inner	483.2.r.a.475.19	yes	320
161.153	even	22	inner	483.2.r.a.475.20	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.r.a.181.19	✓	320	7.6	odd	2	inner
483.2.r.a.181.20	yes	320	1.1	even	1	trivial
483.2.r.a.475.19	yes	320	23.15	odd	22	inner
483.2.r.a.475.20	yes	320	161.153	even	22	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 $\F_{q}$

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

Related objects

Downloads

Learn more