LMFDB - Embedded newform 230.2.j.a.219.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (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:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			219.6
Character	$\chi$	$=$	230.219
Dual form			230.2.j.a.209.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 - 0.841254i) q^{2} +(2.56448 + 0.368717i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(2.23602 - 0.0141641i) q^{5} +(-1.07628 - 2.35672i) q^{6} +(-1.82575 + 1.58202i) q^{7} +(0.989821 - 0.142315i) q^{8} +(3.56212 + 1.04593i) q^{9} +O(q^{10})$	\(q+(-0.540641 - 0.841254i) q^{2} +(2.56448 + 0.368717i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(2.23602 - 0.0141641i) q^{5} +(-1.07628 - 2.35672i) q^{6} +(-1.82575 + 1.58202i) q^{7} +(0.989821 - 0.142315i) q^{8} +(3.56212 + 1.04593i) q^{9} +(-1.22080 - 1.87340i) q^{10} +(1.25768 + 0.808265i) q^{11} +(-1.40072 + 2.17956i) q^{12} +(-3.06511 - 2.65594i) q^{13} +(2.31795 + 0.680612i) q^{14} +(5.73946 + 0.788135i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-5.62426 + 2.56851i) q^{17} +(-1.04593 - 3.56212i) q^{18} +(0.291448 - 0.638182i) q^{19} +(-0.915993 + 2.03984i) q^{20} +(-5.26540 + 3.38387i) q^{21} -1.49501i q^{22} +(3.56194 - 3.21132i) q^{23} +2.59085 q^{24} +(4.99960 - 0.0633425i) q^{25} +(-0.577190 + 4.01445i) q^{26} +(1.67918 + 0.766856i) q^{27} +(-0.680612 - 2.31795i) q^{28} +(-2.53349 - 5.54757i) q^{29} +(-2.43996 - 5.25444i) q^{30} +(-0.649873 - 4.51997i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(2.92729 + 2.53651i) q^{33} +(5.20148 + 3.34279i) q^{34} +(-4.06000 + 3.56329i) q^{35} +(-2.43118 + 2.80573i) q^{36} +(1.60042 - 5.45053i) q^{37} +(-0.694442 + 0.0998457i) q^{38} +(-6.88114 - 7.94125i) q^{39} +(2.21125 - 0.332239i) q^{40} +(-4.89061 + 1.43601i) q^{41} +(5.69338 + 2.60008i) q^{42} +(4.99509 + 0.718186i) q^{43} +(-1.25768 + 0.808265i) q^{44} +(7.97981 + 2.28828i) q^{45} +(-4.62726 - 1.26033i) q^{46} +4.52400i q^{47} +(-1.40072 - 2.17956i) q^{48} +(-0.165637 + 1.15203i) q^{49} +(-2.75627 - 4.17168i) q^{50} +(-15.3704 + 4.51315i) q^{51} +(3.68922 - 1.68481i) q^{52} +(-4.01724 + 3.48096i) q^{53} +(-0.262713 - 1.82721i) q^{54} +(2.82366 + 1.78948i) q^{55} +(-1.58202 + 1.82575i) q^{56} +(0.982721 - 1.52914i) q^{57} +(-3.29720 + 5.13055i) q^{58} +(-9.64692 + 11.1331i) q^{59} +(-3.10117 + 4.89339i) q^{60} +(2.04923 + 14.2527i) q^{61} +(-3.45109 + 2.99039i) q^{62} +(-8.15822 + 3.72573i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-6.89129 - 5.89532i) q^{65} +(0.551236 - 3.83393i) q^{66} +(-1.77215 - 2.75752i) q^{67} -6.18301i q^{68} +(10.3186 - 6.92201i) q^{69} +(5.19263 + 1.48903i) q^{70} +(9.51232 - 6.11320i) q^{71} +(3.67472 + 0.528345i) q^{72} +(3.05196 + 1.39378i) q^{73} +(-5.45053 + 1.60042i) q^{74} +(12.8447 + 1.68099i) q^{75} +(0.459439 + 0.530221i) q^{76} +(-3.57490 + 0.513993i) q^{77} +(-2.96039 + 10.0821i) q^{78} +(1.54077 - 1.77814i) q^{79} +(-1.47499 - 1.68060i) q^{80} +(-5.34601 - 3.43567i) q^{81} +(3.85212 + 3.33788i) q^{82} +(-0.823140 + 2.80336i) q^{83} +(-0.890748 - 6.19529i) q^{84} +(-12.5396 + 5.82292i) q^{85} +(-2.09637 - 4.59042i) q^{86} +(-4.45160 - 15.1608i) q^{87} +(1.35991 + 0.621051i) q^{88} +(-0.515328 + 3.58419i) q^{89} +(-2.38919 - 7.95018i) q^{90} +9.79786 q^{91} +(1.44143 + 4.57409i) q^{92} -11.8310i q^{93} +(3.80583 - 2.44586i) q^{94} +(0.642645 - 1.43112i) q^{95} +(-1.07628 + 2.35672i) q^{96} +(-3.34235 - 11.3830i) q^{97} +(1.05870 - 0.483491i) q^{98} +(3.63464 + 4.19460i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{10}{11}\right)$

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 $

$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$3$	2.56448	+	0.368717i	1.48060	+	0.212879i	0.834769	−	0.550600i	$-0.185601\pi$
$3$	2.56448	+	0.368717i	1.48060	+	0.212879i	0.645834	+	0.763478i	$0.276510\pi$
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	2.23602	−	0.0141641i	0.999980	−	0.00633437i
$5$	2.23602	−	0.0141641i	0.999980	−	0.00633437i
$6$	−1.07628	−	2.35672i	−0.439389	−	0.962127i
$7$	−1.82575	+	1.58202i	−0.690067	+	0.597946i	−0.927663	−	0.373418i	$-0.878186\pi$
$7$	−1.82575	+	1.58202i	−0.690067	+	0.597946i	0.237596	+	0.971364i	$0.423640\pi$
$8$	0.989821	−	0.142315i	0.349955	−	0.0503159i
$9$	3.56212	+	1.04593i	1.18737	+	0.348645i
$10$	−1.22080	−	1.87340i	−0.386051	−	0.592423i
$11$	1.25768	+	0.808265i	0.379206	+	0.243701i	0.716333	−	0.697758i	$-0.245819\pi$
$11$	1.25768	+	0.808265i	0.379206	+	0.243701i	−0.337127	+	0.941459i	$0.609455\pi$
$12$	−1.40072	+	2.17956i	−0.404353	+	0.629185i
$13$	−3.06511	−	2.65594i	−0.850110	−	0.736624i	0.116414	−	0.993201i	$-0.462860\pi$
$13$	−3.06511	−	2.65594i	−0.850110	−	0.736624i	−0.966524	+	0.256576i	$0.917405\pi$
$14$	2.31795	+	0.680612i	0.619498	+	0.181901i
$15$	5.73946	+	0.788135i	1.48192	+	0.203496i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−5.62426	+	2.56851i	−1.36408	+	0.622956i	−0.956907	−	0.290393i	$-0.906214\pi$
$17$	−5.62426	+	2.56851i	−1.36408	+	0.622956i	−0.407177	+	0.913349i	$0.633487\pi$
$18$	−1.04593	−	3.56212i	−0.246529	−	0.839601i
$19$	0.291448	−	0.638182i	0.0668628	−	0.146409i	−0.873250	−	0.487272i	$-0.837992\pi$
$19$	0.291448	−	0.638182i	0.0668628	−	0.146409i	0.940113	+	0.340863i	$0.110719\pi$
$20$	−0.915993	+	2.03984i	−0.204822	+	0.456123i
$21$	−5.26540	+	3.38387i	−1.14901	+	0.738421i
$22$		−	1.49501i		−	0.318738i
$23$	3.56194	−	3.21132i	0.742716	−	0.669606i
$23$	3.56194	−	3.21132i	0.742716	−	0.669606i
$24$	2.59085			0.528855
$25$	4.99960	−	0.0633425i	0.999920	−	0.0126685i
$26$	−0.577190	+	4.01445i	−0.113196	+	0.787298i
$27$	1.67918	+	0.766856i	0.323159	+	0.147582i
$28$	−0.680612	−	2.31795i	−0.128623	−	0.438051i
$29$	−2.53349	−	5.54757i	−0.470457	−	1.03016i	−0.984978	−	0.172679i	$-0.944758\pi$
$29$	−2.53349	−	5.54757i	−0.470457	−	1.03016i	0.514521	−	0.857478i	$-0.327970\pi$
$30$	−2.43996	−	5.25444i	−0.445474	−	0.959325i
$31$	−0.649873	−	4.51997i	−0.116721	−	0.811810i	−0.961127	−	0.276107i	$-0.910956\pi$
$31$	−0.649873	−	4.51997i	−0.116721	−	0.811810i	0.844406	−	0.535703i	$-0.179953\pi$
$32$	−0.281733	+	0.959493i	−0.0498038	+	0.169616i
$33$	2.92729	+	2.53651i	0.509575	+	0.441549i
$34$	5.20148	+	3.34279i	0.892046	+	0.573283i
$35$	−4.06000	+	3.56329i	−0.686265	+	0.602305i
$36$	−2.43118	+	2.80573i	−0.405196	+	0.467621i
$37$	1.60042	−	5.45053i	0.263108	−	0.896062i	−0.716912	−	0.697163i	$-0.754445\pi$
$37$	1.60042	−	5.45053i	0.263108	−	0.896062i	0.980020	−	0.198899i	$-0.0637366\pi$
$38$	−0.694442	+	0.0998457i	−0.112653	+	0.0161971i
$39$	−6.88114	−	7.94125i	−1.10186	−	1.27162i
$40$	2.21125	−	0.332239i	0.349629	−	0.0525316i
$41$	−4.89061	+	1.43601i	−0.763785	+	0.224268i	−0.640348	−	0.768085i	$-0.721210\pi$
$41$	−4.89061	+	1.43601i	−0.763785	+	0.224268i	−0.123437	+	0.992352i	$0.539392\pi$
$42$	5.69338	+	2.60008i	0.878508	+	0.401201i
$43$	4.99509	+	0.718186i	0.761744	+	0.109522i	0.512229	−	0.858849i	$-0.328820\pi$
$43$	4.99509	+	0.718186i	0.761744	+	0.109522i	0.249515	+	0.968371i	$0.419729\pi$
$44$	−1.25768	+	0.808265i	−0.189603	+	0.121850i
$45$	7.97981	+	2.28828i	1.18956	+	0.341116i
$46$	−4.62726	−	1.26033i	−0.682253	−	0.185825i
$47$			4.52400i			0.659893i	0.944000	+	0.329947i	$0.107031\pi$
$47$			4.52400i			0.659893i	−0.944000	+	0.329947i	$0.892969\pi$
$48$	−1.40072	−	2.17956i	−0.202176	−	0.314593i
$49$	−0.165637	+	1.15203i	−0.0236624	+	0.164576i
$50$	−2.75627	−	4.17168i	−0.389796	−	0.589965i
$51$	−15.3704	+	4.51315i	−2.15228	+	0.631967i
$52$	3.68922	−	1.68481i	0.511603	−	0.233641i
$53$	−4.01724	+	3.48096i	−0.551811	+	0.478147i	−0.885566	−	0.464513i	$-0.846229\pi$
$53$	−4.01724	+	3.48096i	−0.551811	+	0.478147i	0.333756	+	0.942660i	$0.391684\pi$
$54$	−0.262713	−	1.82721i	−0.0357508	−	0.248652i
$55$	2.82366	+	1.78948i	0.380742	+	0.241294i
$56$	−1.58202	+	1.82575i	−0.211406	+	0.243975i
$57$	0.982721	−	1.52914i	0.130165	−	0.202540i
$58$	−3.29720	+	5.13055i	−0.432944	+	0.673674i
$59$	−9.64692	+	11.1331i	−1.25592	+	1.44941i	−0.413580	+	0.910468i	$0.635722\pi$
$59$	−9.64692	+	11.1331i	−1.25592	+	1.44941i	−0.842342	+	0.538943i	$0.818824\pi$
$60$	−3.10117	+	4.89339i	−0.400359	+	0.631734i
$61$	2.04923	+	14.2527i	0.262377	+	1.82487i	0.514864	+	0.857272i	$0.327843\pi$
$61$	2.04923	+	14.2527i	0.262377	+	1.82487i	−0.252486	+	0.967600i	$0.581248\pi$
$62$	−3.45109	+	2.99039i	−0.438289	+	0.379779i
$63$	−8.15822	+	3.72573i	−1.02784	+	0.469398i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	−6.89129	−	5.89532i	−0.854759	−	0.731225i
$66$	0.551236	−	3.83393i	0.0678524	−	0.471924i
$67$	−1.77215	−	2.75752i	−0.216503	−	0.336885i	0.715966	−	0.698135i	$-0.245986\pi$
$67$	−1.77215	−	2.75752i	−0.216503	−	0.336885i	−0.932469	+	0.361250i	$0.882350\pi$
$68$		−	6.18301i		−	0.749800i
$69$	10.3186	−	6.92201i	1.24221	−	0.833312i
$70$	5.19263	+	1.48903i	0.620638	+	0.177973i
$71$	9.51232	−	6.11320i	1.12891	−	0.725503i	0.163574	−	0.986531i	$-0.447698\pi$
$71$	9.51232	−	6.11320i	1.12891	−	0.725503i	0.965331	+	0.261028i	$0.0840614\pi$
$72$	3.67472	+	0.528345i	0.433070	+	0.0622660i
$73$	3.05196	+	1.39378i	0.357205	+	0.163130i	0.585931	−	0.810361i	$-0.300729\pi$
$73$	3.05196	+	1.39378i	0.357205	+	0.163130i	−0.228726	+	0.973491i	$0.573456\pi$
$74$	−5.45053	+	1.60042i	−0.633612	+	0.186045i
$75$	12.8447	+	1.68099i	1.48318	+	0.194104i
$76$	0.459439	+	0.530221i	0.0527013	+	0.0608205i
$77$	−3.57490	+	0.513993i	−0.407398	+	0.0585749i
$78$	−2.96039	+	10.0821i	−0.335198	+	1.14158i
$79$	1.54077	−	1.77814i	0.173350	−	0.200057i	−0.662425	−	0.749128i	$-0.730473\pi$
$79$	1.54077	−	1.77814i	0.173350	−	0.200057i	0.835776	+	0.549071i	$0.185018\pi$
$80$	−1.47499	−	1.68060i	−0.164909	−	0.187897i
$81$	−5.34601	−	3.43567i	−0.594001	−	0.381741i
$82$	3.85212	+	3.33788i	0.425395	+	0.368607i
$83$	−0.823140	+	2.80336i	−0.0903513	+	0.307708i	−0.992253	−	0.124233i	$-0.960353\pi$
$83$	−0.823140	+	2.80336i	−0.0903513	+	0.307708i	0.901902	+	0.431941i	$0.142171\pi$
$84$	−0.890748	−	6.19529i	−0.0971886	−	0.675961i
$85$	−12.5396	+	5.82292i	−1.36011	+	0.631584i
$86$	−2.09637	−	4.59042i	−0.226058	−	0.494998i
$87$	−4.45160	−	15.1608i	−0.477262	−	1.62540i
$88$	1.35991	+	0.621051i	0.144967	+	0.0662042i
$89$	−0.515328	+	3.58419i	−0.0546247	+	0.379923i	0.944110	+	0.329631i	$0.106924\pi$
$89$	−0.515328	+	3.58419i	−0.0546247	+	0.379923i	−0.998735	+	0.0502921i	$0.983985\pi$
$90$	−2.38919	−	7.95018i	−0.251842	−	0.838022i
$91$	9.79786			1.02709
$92$	1.44143	+	4.57409i	0.150280	+	0.476882i
$93$		−	11.8310i		−	1.22682i
$94$	3.80583	−	2.44586i	0.392541	−	0.252271i
$95$	0.642645	−	1.43112i	0.0659340	−	0.146830i
$96$	−1.07628	+	2.35672i	−0.109847	+	0.240532i
$97$	−3.34235	−	11.3830i	−0.339364	−	1.15577i	−0.935631	−	0.352981i	$-0.885168\pi$
$97$	−3.34235	−	11.3830i	−0.339364	−	1.15577i	0.596267	−	0.802786i	$-0.296650\pi$
$98$	1.05870	−	0.483491i	0.106945	−	0.0488400i
$99$	3.63464	+	4.19460i	0.365295	+	0.421573i
$100$	−2.01929	+	4.57411i	−0.201929	+	0.457411i
$101$	−18.3614	−	5.39140i	−1.82703	−	0.536464i	−0.827348	−	0.561690i	$-0.810151\pi$
$101$	−18.3614	−	5.39140i	−1.82703	−	0.536464i	−0.999682	+	0.0252253i	$0.991970\pi$
$102$	12.1065	+	10.4904i	1.19873	+	1.03870i
$103$	2.68750	−	4.18183i	0.264807	−	0.412048i	−0.683232	−	0.730201i	$-0.739426\pi$
$103$	2.68750	−	4.18183i	0.264807	−	0.412048i	0.948039	+	0.318153i	$0.103063\pi$
$104$	−3.41190	−	2.19269i	−0.334564	−	0.215011i
$105$	−11.7256	+	7.64099i	−1.14430	+	0.745684i
$106$	5.10026	+	1.49757i	0.495381	+	0.145457i
$107$	17.3483	−	2.49431i	1.67712	−	0.241134i	0.762949	−	0.646458i	$-0.223751\pi$
$107$	17.3483	−	2.49431i	1.67712	−	0.241134i	0.914173	+	0.405325i	$0.132841\pi$
$108$	−1.39511	+	1.20887i	−0.134245	+	0.116324i
$109$	6.21222	+	13.6029i	0.595022	+	1.30292i	0.932359	+	0.361533i	$0.117747\pi$
$109$	6.21222	+	13.6029i	0.595022	+	1.30292i	−0.337337	+	0.941384i	$0.609526\pi$
$110$	−0.0211755	−	3.34288i	−0.00201900	−	0.318731i
$111$	6.11395	−	13.3877i	0.580310	−	1.27070i
$112$	2.39122	+	0.343805i	0.225949	+	0.0324865i
$113$	10.2744	+	15.9873i	0.966535	+	1.50396i	0.860408	+	0.509606i	$0.170209\pi$
$113$	10.2744	+	15.9873i	0.966535	+	1.50396i	0.106127	+	0.994353i	$0.466155\pi$
$114$	−1.81770			−0.170243
$115$	7.91910	−	7.23103i	0.738460	−	0.674297i
$116$	6.09869			0.566249
$117$	−8.14039	−	12.6667i	−0.752579	−	1.17104i
$118$	14.5813	+	2.09648i	1.34232	+	0.192996i
$119$	6.20504	−	13.5871i	0.568815	−	1.24553i
$120$	5.79320	−	0.0366970i	0.528845	−	0.00334997i
$121$	−3.64109	−	7.97287i	−0.331008	−	0.724806i
$122$	10.8822	−	9.42952i	0.985232	−	0.853709i
$123$	−13.0714	+	1.87938i	−1.17860	+	0.169458i
$124$	4.38147	+	1.28652i	0.393468	+	0.115533i
$125$	11.1783	−	0.212450i	0.999819	−	0.0190021i
$126$	7.54495	+	4.84885i	0.672158	+	0.431970i
$127$	7.18318	−	11.1772i	0.637404	−	0.991820i	−0.360843	−	0.932627i	$-0.617511\pi$
$127$	7.18318	−	11.1772i	0.637404	−	0.991820i	0.998247	−	0.0591930i	$-0.0188527\pi$
$128$	−0.755750	−	0.654861i	−0.0667995	−	0.0578821i
$129$	12.5450	+	3.68355i	1.10453	+	0.324318i
$130$	−1.23375	+	8.98457i	−0.108207	+	0.787999i
$131$	9.11394	+	10.5181i	0.796289	+	0.918966i	0.998172	−	0.0604434i	$-0.0192515\pi$
$131$	9.11394	+	10.5181i	0.796289	+	0.918966i	−0.201883	+	0.979410i	$0.564706\pi$
$132$	−3.52333	+	1.60905i	−0.306666	+	0.140050i
$133$	0.477505	+	1.62623i	0.0414050	+	0.141012i
$134$	−1.36168	+	2.98166i	−0.117631	+	0.257576i
$135$	3.76555	+	1.69092i	0.324087	+	0.145532i
$136$	−5.20148	+	3.34279i	−0.446023	+	0.286642i
$137$			16.9150i			1.44514i	0.691297	+	0.722571i	$0.257040\pi$
$137$			16.9150i			1.44514i	−0.691297	+	0.722571i	$0.742960\pi$
$138$	−11.4018	−	4.93823i	−0.970588	−	0.420370i
$139$	17.9369			1.52139			0.760696	−	0.649109i	$-0.224858\pi$
$139$	17.9369			1.52139			0.760696	+	0.649109i	$0.224858\pi$
$140$	−1.55469	−	5.17335i	−0.131396	−	0.437228i
$141$	−1.66807	+	11.6017i	−0.140477	+	0.977040i
$142$	−10.2855	−	4.69723i	−0.863140	−	0.394183i
$143$	−1.70825	−	5.81775i	−0.142851	−	0.486505i
$144$	−1.54223	−	3.37702i	−0.128519	−	0.281418i
$145$	−5.74351	−	12.3686i	−0.476973	−	1.02716i
$146$	−0.477489	−	3.32101i	−0.0395173	−	0.274849i
$147$	−0.849544	+	2.89328i	−0.0700692	+	0.238634i
$148$	4.29314	+	3.72003i	0.352894	+	0.305784i
$149$	−13.3485	−	8.57858i	−1.09355	−	0.702784i	−0.135905	−	0.990722i	$-0.543394\pi$
$149$	−13.3485	−	8.57858i	−1.09355	−	0.702784i	−0.957649	+	0.287937i	$0.907030\pi$
$150$	−5.53024	−	11.7145i	−0.451542	−	0.956484i
$151$	7.06380	−	8.15206i	0.574844	−	0.663405i	−0.391644	−	0.920117i	$-0.628094\pi$
$151$	7.06380	−	8.15206i	0.574844	−	0.663405i	0.966488	+	0.256711i	$0.0826390\pi$
$152$	0.197659	−	0.673164i	0.0160322	−	0.0546008i
$153$	−22.7208	+	3.26676i	−1.83687	+	0.264102i
$154$	2.36514	+	2.72951i	0.190588	+	0.219950i
$155$	−1.51715	−	10.0975i	−0.121861	−	0.811054i
$156$	10.0821	−	2.96039i	0.807218	−	0.237020i
$157$	−2.78637	−	1.27249i	−0.222377	−	0.101556i	0.301112	−	0.953589i	$-0.402642\pi$
$157$	−2.78637	−	1.27249i	−0.222377	−	0.101556i	−0.523488	+	0.852033i	$0.675370\pi$
$158$	−2.32887	−	0.334842i	−0.185275	−	0.0266386i
$159$	−11.5856	+	7.44563i	−0.918800	+	0.590477i
$160$	−0.616370	+	2.14944i	−0.0487283	+	0.169928i
$161$	−1.42284	+	11.4981i	−0.112135	+	0.906178i
$162$			6.35481i			0.499281i
$163$	−1.59230	−	2.47766i	−0.124718	−	0.194065i	0.773280	−	0.634065i	$-0.218615\pi$
$163$	−1.59230	−	2.47766i	−0.124718	−	0.194065i	−0.897998	+	0.440000i	$0.854979\pi$
$164$	0.725390	−	5.04520i	0.0566435	−	0.393964i
$165$	6.58141	+	5.63023i	0.512362	+	0.438313i
$166$	2.80336	−	0.823140i	0.217583	−	0.0638880i
$167$	−14.0597	+	6.42086i	−1.08797	+	0.496861i	−0.876931	−	0.480615i	$-0.840413\pi$
$167$	−14.0597	+	6.42086i	−1.08797	+	0.496861i	−0.211043	+	0.977477i	$0.567686\pi$
$168$	−4.73023	+	4.09877i	−0.364945	+	0.316227i
$169$	0.490833	+	3.41382i	0.0377564	+	0.262602i
$170$	11.6780	+	7.40087i	0.895660	+	0.567621i
$171$	1.70567	−	1.96845i	0.130436	−	0.150531i
$172$	−2.72832	+	4.24535i	−0.208033	+	0.323705i
$173$	7.00534	−	10.9005i	0.532606	−	0.828751i	−0.465818	−	0.884881i	$-0.654240\pi$
$173$	7.00534	−	10.9005i	0.532606	−	0.828751i	0.998423	+	0.0561299i	$0.0178761\pi$
$174$	−10.3473	+	11.9414i	−0.784429	+	0.905279i
$175$	−9.02779	+	8.02510i	−0.682436	+	0.606640i
$176$	−0.212762	−	1.47980i	−0.0160376	−	0.111544i
$177$	−28.8443	+	24.9937i	−2.16807	+	1.87864i
$178$	3.29382	−	1.50424i	0.246882	−	0.112747i
$179$	−10.6510	+	3.12741i	−0.796092	+	0.233754i	−0.654392	−	0.756156i	$-0.727075\pi$
$179$	−10.6510	+	3.12741i	−0.796092	+	0.233754i	−0.141701	+	0.989910i	$0.545257\pi$
$180$	−5.39642	+	6.30810i	−0.402226	+	0.470178i
$181$	0.716678	−	4.98460i	0.0532702	−	0.370503i	−0.945696	−	0.325051i	$-0.894618\pi$
$181$	0.716678	−	4.98460i	0.0532702	−	0.370503i	0.998967	−	0.0454512i	$-0.0144725\pi$
$182$	−5.29712	−	8.24248i	−0.392649	−	0.610973i
$183$			37.3064i			2.75777i
$184$	3.06867	−	3.68555i	0.226225	−	0.271702i
$185$	3.50138	−	12.2102i	0.257426	−	0.897711i
$186$	−9.95285	+	6.39631i	−0.729779	+	0.469000i
$187$	−9.14959	−	1.31551i	−0.669084	−	0.0961998i
$188$	−4.11517	−	1.87934i	−0.300130	−	0.137065i
$189$	−4.27894	+	1.25641i	−0.311247	+	0.0913903i
$190$	−1.55137	+	0.233093i	−0.112548	+	0.0169104i
$191$	4.85692	+	5.60518i	0.351434	+	0.405577i	0.903752	−	0.428057i	$-0.140802\pi$
$191$	4.85692	+	5.60518i	0.351434	+	0.405577i	−0.552317	+	0.833634i	$0.686256\pi$
$192$	2.56448	−	0.368717i	0.185075	−	0.0266098i
$193$	3.79451	−	12.9229i	0.273135	−	0.930212i	−0.702660	−	0.711525i	$-0.748005\pi$
$193$	3.79451	−	12.9229i	0.273135	−	0.930212i	0.975795	−	0.218686i	$-0.0701771\pi$
$194$	−7.76897	+	8.96587i	−0.557779	+	0.643712i
$195$	−15.4989	−	17.6594i	−1.10990	−	1.26461i
$196$	−0.979114	−	0.629238i	−0.0699367	−	0.0449456i
$197$	−1.13562	−	0.984024i	−0.0809099	−	0.0701088i	0.613467	−	0.789720i	$-0.289774\pi$
$197$	−1.13562	−	0.984024i	−0.0809099	−	0.0701088i	−0.694377	+	0.719612i	$0.744320\pi$
$198$	1.56368	−	5.32542i	0.111126	−	0.378461i
$199$	0.172134	+	1.19722i	0.0122022	+	0.0848684i	0.995013	−	0.0997498i	$-0.0318042\pi$
$199$	0.172134	+	1.19722i	0.0122022	+	0.0848684i	−0.982810	+	0.184618i	$0.940895\pi$
$200$	4.93970	−	0.774215i	0.349289	−	0.0547453i
$201$	−3.52790	−	7.72503i	−0.248839	−	0.544882i
$202$	5.39140	+	18.3614i	0.379338	+	1.29191i
$203$	13.4018	+	6.12042i	0.940625	+	0.429569i
$204$	2.27978	−	15.8562i	0.159616	−	1.11016i
$205$	−10.9152	+	3.28023i	−0.762350	+	0.229101i
$206$	−4.97095			−0.346343
$207$	16.0469	−	7.71356i	1.11534	−	0.536129i
$208$			4.05573i			0.281214i
$209$	0.882370	−	0.567065i	0.0610348	−	0.0392247i
$210$	12.7674	+	5.73320i	0.881032	+	0.395628i
$211$	−2.24700	+	4.92025i	−0.154690	+	0.338724i	−0.971071	−	0.238789i	$-0.923250\pi$
$211$	−2.24700	+	4.92025i	−0.154690	+	0.338724i	0.816381	+	0.577513i	$0.195977\pi$
$212$	−1.49757	−	5.10026i	−0.102854	−	0.350287i
$213$	26.6482	−	12.1698i	1.82590	−	0.833863i
$214$	−11.4775	−	13.2458i	−0.784588	−	0.905463i
$215$	11.1793	+	1.53513i	0.762423	+	0.104695i
$216$	1.77122	+	0.520079i	0.120517	+	0.0353869i
$217$	8.33717	+	7.22420i	0.565964	+	0.490410i
$218$	8.08487	−	12.5803i	0.547577	−	0.852046i
$219$	7.31279	+	4.69964i	0.494152	+	0.317572i
$220$	−2.80076	+	1.82511i	−0.188827	+	0.123049i
$221$	24.0608	+	7.06489i	1.61851	+	0.475236i
$222$	−14.5679	+	2.09455i	−0.977732	+	0.140577i
$223$	4.15604	−	3.60123i	0.278309	−	0.241156i	−0.504510	−	0.863406i	$-0.668327\pi$
$223$	4.15604	−	3.60123i	0.278309	−	0.241156i	0.782819	+	0.622250i	$0.213781\pi$
$224$	−1.00356	−	2.19750i	−0.0670533	−	0.146826i
$225$	17.8754	+	5.00362i	1.19170	+	0.333575i
$226$	7.89460	−	17.2868i	0.525141	−	1.14990i
$227$	−2.10956	−	0.303310i	−0.140017	−	0.0201314i	0.0719501	−	0.997408i	$-0.477078\pi$
$227$	−2.10956	−	0.303310i	−0.140017	−	0.0201314i	−0.211967	+	0.977277i	$0.567987\pi$
$228$	0.982721	+	1.52914i	0.0650823	+	0.101270i
$229$	−18.6710			−1.23381			−0.616906	−	0.787037i	$-0.711614\pi$
$229$	−18.6710			−1.23381			−0.616906	+	0.787037i	$0.711614\pi$
$230$	−10.3645	−	2.75258i	−0.683416	−	0.181500i
$231$	−9.35728			−0.615664
$232$	−3.29720	−	5.13055i	−0.216472	−	0.336837i
$233$	12.0965	+	1.73922i	0.792469	+	0.113940i	0.526649	−	0.850083i	$-0.323448\pi$
$233$	12.0965	+	1.73922i	0.792469	+	0.113940i	0.265820	+	0.964023i	$0.414357\pi$
$234$	−6.25487	+	13.6963i	−0.408894	+	0.895352i
$235$	0.0640783	+	10.1158i	0.00418001	+	0.659880i
$236$	−6.11958	−	13.4000i	−0.398351	−	0.872267i
$237$	4.60691	−	3.99191i	0.299251	−	0.259302i
$238$	−14.7849	+	2.12575i	−0.958364	+	0.137792i
$239$	−0.676711	−	0.198700i	−0.0437728	−	0.0128529i	0.259773	−	0.965670i	$-0.416352\pi$
$239$	−0.676711	−	0.198700i	−0.0437728	−	0.0128529i	−0.303546	+	0.952817i	$0.598170\pi$
$240$	−3.16291	−	4.85371i	−0.204165	−	0.313306i
$241$	7.17710	+	4.61244i	0.462318	+	0.297114i	0.750989	−	0.660315i	$-0.229577\pi$
$241$	7.17710	+	4.61244i	0.462318	+	0.297114i	−0.288671	+	0.957428i	$0.593213\pi$
$242$	−4.73868	+	7.37354i	−0.304614	+	0.473989i
$243$	−16.6283	−	14.4085i	−1.06670	−	0.924305i
$244$	−13.8160	−	4.05674i	−0.884479	−	0.259706i
$245$	−0.354050	+	2.57831i	−0.0226194	+	0.164722i
$246$	8.64794	+	9.98026i	0.551373	+	0.636318i
$247$	−2.58829	+	1.18203i	−0.164689	+	0.0752110i
$248$	−1.28652	−	4.38147i	−0.0816939	−	0.278224i
$249$	−3.14457	+	6.88565i	−0.199279	+	0.436360i
$250$	−6.22218	−	9.28894i	−0.393525	−	0.587484i
$251$	21.2403	−	13.6503i	1.34067	−	0.861599i	0.343681	−	0.939086i	$-0.388326\pi$
$251$	21.2403	−	13.6503i	1.34067	−	0.861599i	0.996993	+	0.0774875i	$0.0246898\pi$
$252$		−	8.96870i		−	0.564975i
$253$	7.07539	−	1.15983i	0.444826	−	0.0729181i
$254$	−13.2864			−0.833664
$255$	−34.3046	+	10.3092i	−2.14823	+	0.645587i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−5.11793	−	2.33728i	−0.319247	−	0.145795i	0.249345	−	0.968415i	$-0.419785\pi$
$257$	−5.11793	−	2.33728i	−0.319247	−	0.145795i	−0.568593	+	0.822619i	$0.692512\pi$
$258$	−3.68355	−	12.5450i	−0.229328	−	0.781018i
$259$	5.70088	+	12.4832i	0.354235	+	0.775667i
$260$	8.22532	−	3.81953i	0.510112	−	0.236877i
$261$	−3.22221	−	22.4110i	−0.199450	−	1.38721i
$262$	3.92098	−	13.3536i	0.242239	−	0.824990i
$263$	16.8925	+	14.6374i	1.04163	+	0.902581i	0.995348	−	0.0963471i	$-0.0307159\pi$
$263$	16.8925	+	14.6374i	1.04163	+	0.902581i	0.0462863	+	0.998928i	$0.485261\pi$
$264$	3.25847	+	2.09409i	0.200545	+	0.128883i
$265$	−8.93334	+	7.84041i	−0.548771	+	0.481633i
$266$	1.10992	−	1.28091i	0.0680533	−	0.0785377i
$267$	−2.64310	+	9.00157i	−0.161755	+	0.550887i
$268$	3.24451	−	0.466490i	0.198190	−	0.0284954i
$269$	−1.26262	−	1.45714i	−0.0769830	−	0.0888432i	0.715951	−	0.698150i	$-0.245993\pi$
$269$	−1.26262	−	1.45714i	−0.0769830	−	0.0888432i	−0.792934	+	0.609307i	$0.791448\pi$
$270$	−0.613314	−	4.08197i	−0.0373251	−	0.248421i
$271$	−1.10040	+	0.323107i	−0.0668445	+	0.0196273i	−0.314984	−	0.949097i	$-0.601999\pi$
$271$	−1.10040	+	0.323107i	−0.0668445	+	0.0196273i	0.248139	+	0.968724i	$0.420181\pi$
$272$	5.62426	+	2.56851i	0.341021	+	0.155739i
$273$	25.1264	+	3.61263i	1.52072	+	0.218646i
$274$	14.2298	−	9.14492i	0.859652	−	0.552465i
$275$	6.33911	+	3.96133i	0.382263	+	0.238877i
$276$	2.00999	+	12.2616i	0.120987	+	0.738064i
$277$			15.5372i			0.933538i	0.884379	+	0.466769i	$0.154582\pi$
$277$			15.5372i			0.933538i	−0.884379	+	0.466769i	$0.845418\pi$
$278$	−9.69744	−	15.0895i	−0.581614	−	0.905009i
$279$	2.41266	−	16.7804i	0.144442	−	1.00462i
$280$	−3.51157	+	4.10482i	−0.209856	+	0.245310i
$281$	−3.71420	+	1.09059i	−0.221570	+	0.0650589i	−0.390633	−	0.920546i	$-0.627744\pi$
$281$	−3.71420	+	1.09059i	−0.221570	+	0.0650589i	0.169063	+	0.985605i	$0.445926\pi$
$282$	10.6618	−	4.86908i	0.634901	−	0.289950i
$283$	−15.8360	+	13.7220i	−0.941354	+	0.815688i	−0.983030	−	0.183443i	$-0.941276\pi$
$283$	−15.8360	+	13.7220i	−0.941354	+	0.815688i	0.0416763	+	0.999131i	$0.486730\pi$
$284$	1.60920	+	11.1922i	0.0954884	+	0.664137i
$285$	2.17573	−	3.43312i	0.128879	−	0.203360i
$286$	−3.97066	+	4.58238i	−0.234790	+	0.270962i
$287$	6.65722	−	10.3588i	0.392963	−	0.611462i
$288$	−2.00713	+	3.12316i	−0.118271	+	0.184034i
$289$	13.9024	−	16.0443i	0.817790	−	0.943780i
$290$	−7.29995	+	11.5187i	−0.428668	+	0.676403i
$291$	−4.37428	−	30.4238i	−0.256425	−	1.78348i
$292$	−2.53566	+	2.19716i	−0.148388	+	0.128579i
$293$	−5.42971	+	2.47966i	−0.317207	+	0.144864i	−0.567655	−	0.823266i	$-0.692149\pi$
$293$	−5.42971	+	2.47966i	−0.317207	+	0.144864i	0.250448	+	0.968130i	$0.419422\pi$
$294$	2.89328	−	0.849544i	0.168740	−	0.0495464i
$295$	−21.4130	+	25.0306i	−1.24672	+	1.45734i
$296$	0.808439	−	5.62282i	0.0469896	−	0.326820i
$297$	1.49206	+	2.32169i	0.0865779	+	0.134718i
$298$			15.8674i			0.919175i
$299$	−19.4468	+	0.382764i	−1.12464	+	0.0221358i
$300$	−6.86498	+	10.9857i	−0.396350	+	0.634258i
$301$	−10.2559	+	6.59110i	−0.591143	+	0.379905i
$302$	−10.6769	−	1.53511i	−0.614388	−	0.0883357i
$303$	−45.0996	−	20.5963i	−2.59090	−	1.18323i
$304$	−0.673164	+	0.197659i	−0.0386086	+	0.0113365i
$305$	4.78400	+	31.8404i	0.273931	+	1.82317i
$306$	15.0320	+	17.3478i	0.859321	+	0.991709i
$307$	13.6163	−	1.95773i	0.777123	−	0.111733i	0.257671	−	0.966233i	$-0.417045\pi$
$307$	13.6163	−	1.95773i	0.777123	−	0.111733i	0.519452	+	0.854499i	$0.326136\pi$
$308$	1.01752	−	3.46536i	0.0579787	−	0.197457i
$309$	8.43395	−	9.73329i	0.479790	−	0.553708i
$310$	−7.67436	+	6.73545i	−0.435874	+	0.382548i
$311$	23.6829	+	15.2201i	1.34293	+	0.863050i	0.997163	−	0.0752698i	$-0.0239818\pi$
$311$	23.6829	+	15.2201i	1.34293	+	0.863050i	0.345769	+	0.938320i	$0.387618\pi$
$312$	−7.94125	−	6.88114i	−0.449585	−	0.389568i
$313$	−0.813212	+	2.76955i	−0.0459655	+	0.156544i	−0.979278	−	0.202522i	$-0.935086\pi$
$313$	−0.813212	+	2.76955i	−0.0459655	+	0.156544i	0.933312	+	0.359066i	$0.116905\pi$
$314$	0.435937	+	3.03201i	0.0246013	+	0.171106i
$315$	−18.1892	+	8.44638i	−1.02485	+	0.475900i
$316$	0.977398	+	2.14020i	0.0549829	+	0.120396i
$317$	−4.75833	−	16.2054i	−0.267254	−	0.910185i	−0.978327	−	0.207066i	$-0.933608\pi$
$317$	−4.75833	−	16.2054i	−0.267254	−	0.910185i	0.711073	−	0.703119i	$-0.248210\pi$
$318$	12.5273	+	5.72104i	0.702497	+	0.320820i
$319$	1.29757	−	9.02482i	0.0726501	−	0.505293i
$320$	2.14146	−	0.643551i	0.119711	−	0.0359756i
$321$	45.4090			2.53448
$322$	10.4421	−	5.01938i	0.581914	−	0.279719i
$323$			4.33789i			0.241367i
$324$	5.34601	−	3.43567i	0.297000	−	0.190871i
$325$	−15.4926	−	13.0845i	−0.859373	−	0.725796i
$326$	−1.22348	+	2.67905i	−0.0677623	+	0.148379i
$327$	10.9155	+	37.1748i	0.603629	+	2.05577i
$328$	−4.63647	+	2.11740i	−0.256006	+	0.116914i
$329$	−7.15704	−	8.25967i	−0.394581	−	0.455370i
$330$	1.17827	−	8.58056i	0.0648617	−	0.472344i
$331$	−22.3968	−	6.57628i	−1.23104	−	0.361465i	−0.399396	−	0.916778i	$-0.630780\pi$
$331$	−22.3968	−	6.57628i	−1.23104	−	0.361465i	−0.831641	+	0.555313i	$0.812598\pi$
$332$	−2.20808	−	1.91331i	−0.121184	−	0.105007i
$333$	11.4018	−	17.7415i	0.624815	−	0.972231i
$334$	13.0028	+	8.35642i	0.711484	+	0.457243i
$335$	−4.00163	−	6.14078i	−0.218633	−	0.335507i
$336$	6.00546	+	1.76336i	0.327625	+	0.0961993i
$337$	10.5303	−	1.51402i	0.573620	−	0.0824741i	0.150601	−	0.988595i	$-0.451879\pi$
$337$	10.5303	−	1.51402i	0.573620	−	0.0824741i	0.423020	+	0.906121i	$0.360970\pi$
$338$	2.60652	−	2.25857i	0.141776	−	0.122850i
$339$	20.4537	+	44.7874i	1.11089	+	2.43252i
$340$	−0.0875767	−	13.8254i	−0.00474951	−	0.749785i
$341$	2.83599	−	6.20996i	0.153578	−	0.336288i
$342$	−2.57812	−	0.370678i	−0.139409	−	0.0200440i
$343$	−10.6627	−	16.5915i	−0.575732	−	0.895857i
$344$	5.04646			0.272087
$345$	22.9746	−	15.6239i	1.23691	−	0.841164i
$346$	−12.9575			−0.696598
$347$	−7.02594	−	10.9326i	−0.377172	−	0.586892i	0.599828	−	0.800129i	$-0.295236\pi$
$347$	−7.02594	−	10.9326i	−0.377172	−	0.586892i	−0.977000	+	0.213237i	$0.931599\pi$
$348$	15.6400	+	2.24869i	0.838390	+	0.120542i
$349$	2.69252	−	5.89579i	0.144127	−	0.315594i	−0.823777	−	0.566914i	$-0.808137\pi$
$349$	2.69252	−	5.89579i	0.144127	−	0.315594i	0.967904	+	0.251320i	$0.0808645\pi$
$350$	11.6319	+	3.25596i	0.621753	+	0.174038i
$351$	−3.11016	−	6.81030i	−0.166008	−	0.363507i
$352$	−1.12985	+	0.979025i	−0.0602215	+	0.0521822i
$353$	−17.7999	+	2.55923i	−0.947391	+	0.136214i	−0.598655	−	0.801007i	$-0.704298\pi$
$353$	−17.7999	+	2.55923i	−0.947391	+	0.136214i	−0.348736	+	0.937221i	$0.613389\pi$
$354$	36.6205	+	10.7527i	1.94636	+	0.571502i
$355$	21.1832	−	13.8040i	1.12429	−	0.732640i
$356$	−3.04622	−	1.95768i	−0.161449	−	0.103757i
$357$	20.9225	−	32.5560i	1.10734	−	1.72305i
$358$	8.38931	+	7.26938i	0.443389	+	0.384198i
$359$	−20.4195	−	5.99571i	−1.07770	−	0.316441i	−0.305742	−	0.952114i	$-0.598905\pi$
$359$	−20.4195	−	5.99571i	−1.07770	−	0.316441i	−0.771959	+	0.635673i	$0.780723\pi$
$360$	8.22424	+	1.12934i	0.433456	+	0.0595216i
$361$	12.1200	+	13.9872i	0.637896	+	0.736171i
$362$	−4.58078	+	2.09197i	−0.240760	+	0.109952i
$363$	−6.39777	−	21.7888i	−0.335796	−	1.14361i
$364$	−4.07018	+	8.91244i	−0.213335	+	0.467139i
$365$	6.84400	+	3.07331i	0.358231	+	0.160864i
$366$	31.3841	−	20.1693i	1.64047	−	1.05427i
$367$			12.7296i			0.664479i	0.943195	+	0.332239i	$0.107804\pi$
$367$			12.7296i			0.664479i	−0.943195	+	0.332239i	$0.892196\pi$
$368$	−4.75953	−	0.588970i	−0.248108	−	0.0307022i
$369$	−18.9230			−0.985090
$370$	−12.1649	+	3.65578i	−0.632420	+	0.190055i
$371$	1.82752	−	12.7107i	0.0948802	−	0.659906i
$372$	10.7618	+	4.91477i	0.557975	+	0.254819i
$373$	−6.44841	−	21.9613i	−0.333886	−	1.13711i	−0.939841	−	0.341612i	$-0.889027\pi$
$373$	−6.44841	−	21.9613i	−0.333886	−	1.13711i	0.605955	−	0.795499i	$-0.292791\pi$
$374$	3.83996	+	8.40834i	0.198560	+	0.434785i
$375$	28.7449	+	3.57681i	1.48438	+	0.184706i
$376$	0.643832	+	4.47795i	0.0332031	+	0.230933i
$377$	−6.96855	+	23.7327i	−0.358899	+	1.22230i
$378$	3.37033	+	2.92041i	0.173351	+	0.150209i
$379$	−17.2762	−	11.1027i	−0.887417	−	0.570308i	0.0156170	−	0.999878i	$-0.495029\pi$
$379$	−17.2762	−	11.1027i	−0.887417	−	0.570308i	−0.903034	+	0.429570i	$0.858665\pi$
$380$	1.03483	+	1.17908i	0.0530855	+	0.0604855i
$381$	22.5423	−	26.0152i	1.15488	−	1.33280i
$382$	2.08953	−	7.11629i	0.106910	−	0.364101i
$383$	−10.6314	+	1.52857i	−0.543240	+	0.0781062i	−0.408472	−	0.912771i	$-0.633938\pi$
$383$	−10.6314	+	1.52857i	−0.543240	+	0.0781062i	−0.134769	+	0.990877i	$0.543029\pi$
$384$	−1.69665	−	1.95803i	−0.0865816	−	0.0999205i
$385$	−7.98628	+	1.19994i	−0.407018	+	0.0611544i
$386$	−12.9229	+	3.79451i	−0.657759	+	0.193135i
$387$	17.0420	+	7.78280i	0.866292	+	0.395622i
$388$	11.7428	+	1.68836i	0.596150	+	0.0857134i
$389$	−11.6149	+	7.46445i	−0.588900	+	0.378463i	−0.800892	−	0.598808i	$-0.795641\pi$
$389$	−11.6149	+	7.46445i	−0.588900	+	0.378463i	0.211993	+	0.977271i	$0.432005\pi$
$390$	−6.47668	+	22.5858i	−0.327960	+	1.14368i
$391$	−11.7850	+	27.2102i	−0.595992	+	1.37608i
$392$			1.16388i			0.0587846i
$393$	19.4943	+	30.3338i	0.983359	+	1.53014i
$394$	−0.213849	+	1.48735i	−0.0107736	+	0.0749317i
$395$	3.42001	−	3.99780i	0.172080	−	0.201151i
$396$	−5.32542	+	1.56368i	−0.267612	+	0.0785781i
$397$	28.8570	−	13.1786i	1.44829	−	0.661413i	0.472744	−	0.881200i	$-0.343263\pi$
$397$	28.8570	−	13.1786i	1.44829	−	0.661413i	0.975548	+	0.219787i	$0.0705362\pi$
$398$	0.914100	−	0.792072i	0.0458197	−	0.0397030i
$399$	0.624934	+	4.34651i	0.0312858	+	0.217598i
$400$	−3.32191	−	3.73696i	−0.166096	−	0.186848i
$401$	−8.35448	+	9.64158i	−0.417203	+	0.481478i	−0.924983	−	0.380009i	$-0.875921\pi$
$401$	−8.35448	+	9.64158i	−0.417203	+	0.481478i	0.507780	+	0.861487i	$0.330466\pi$
$402$	−4.59138	+	7.14433i	−0.228997	+	0.356327i
$403$	−10.0128	+	15.5802i	−0.498774	+	0.776107i
$404$	12.5318	−	14.4625i	0.623480	−	0.719535i
$405$	−12.0025	−	7.60652i	−0.596407	−	0.377971i
$406$	−2.09676	−	14.5833i	−0.104061	−	0.723757i
$407$	6.41830	−	5.56149i	0.318143	−	0.275673i
$408$	−14.5716	+	6.65464i	−0.721403	+	0.329454i
$409$	−10.7737	+	3.16344i	−0.532725	+	0.156422i	−0.537021	−	0.843569i	$-0.680451\pi$
$409$	−10.7737	+	3.16344i	−0.532725	+	0.156422i	0.00429653	+	0.999991i	$0.498632\pi$
$410$	8.66070	+	7.40901i	0.427721	+	0.365905i
$411$	−6.23682	+	43.3781i	−0.307640	+	2.13968i
$412$	2.68750	+	4.18183i	0.132404	+	0.206024i
$413$		−	35.5879i		−	1.75116i
$414$	−15.1647	−	9.32926i	−0.745303	−	0.458508i
$415$	−1.80085	+	6.28003i	−0.0884004	+	0.308275i
$416$	3.41190	−	2.19269i	0.167282	−	0.107506i
$417$	45.9989	+	6.61364i	2.25258	+	0.323872i
$418$	−0.954090	−	0.435719i	−0.0466661	−	0.0213117i
$419$	11.9348	−	3.50437i	0.583053	−	0.171200i	0.0231127	−	0.999733i	$-0.492642\pi$
$419$	11.9348	−	3.50437i	0.583053	−	0.171200i	0.559940	+	0.828533i	$0.310824\pi$
$420$	−2.07948	−	13.8402i	−0.101468	−	0.675332i
$421$	−5.76463	−	6.65273i	−0.280951	−	0.324234i	0.597681	−	0.801734i	$-0.296089\pi$
$421$	−5.76463	−	6.65273i	−0.280951	−	0.324234i	−0.878632	+	0.477499i	$0.841543\pi$
$422$	5.35400	−	0.769790i	0.260629	−	0.0374728i
$423$	−4.73181	+	16.1151i	−0.230068	+	0.783541i
$424$	−3.48096	+	4.01724i	−0.169050	+	0.195095i
$425$	−27.9564	+	13.1978i	−1.35608	+	0.640187i
$426$	−24.6450	−	15.8384i	−1.19405	−	0.767372i
$427$	−26.2894	−	22.7799i	−1.27223	−	1.10240i
$428$	−4.93784	+	16.8167i	−0.238679	+	0.812867i
$429$	−2.23566	−	15.5494i	−0.107939	−	0.750731i
$430$	−4.75256	−	10.2346i	−0.229189	−	0.493556i
$431$	11.4845	+	25.1475i	0.553188	+	1.21131i	0.955277	+	0.295713i	$0.0955571\pi$
$431$	11.4845	+	25.1475i	0.553188	+	1.21131i	−0.402089	+	0.915601i	$0.631716\pi$
$432$	−0.520079	−	1.77122i	−0.0250223	−	0.0852181i
$433$	−9.46083	−	4.32062i	−0.454659	−	0.207636i	0.174904	−	0.984586i	$-0.444039\pi$
$433$	−9.46083	−	4.32062i	−0.454659	−	0.207636i	−0.629562	+	0.776950i	$0.716766\pi$
$434$	1.56997	−	10.9194i	0.0753609	−	0.524146i
$435$	−10.1686	−	33.8368i	−0.487548	−	1.62235i
$436$	−14.9542			−0.716178
$437$	−1.01129	−	3.20910i	−0.0483763	−	0.153512i
$438$		−	8.69273i		−	0.415354i
$439$	8.17338	−	5.25271i	0.390094	−	0.250698i	−0.330862	−	0.943679i	$-0.607339\pi$
$439$	8.17338	−	5.25271i	0.390094	−	0.250698i	0.720956	+	0.692981i	$0.243703\pi$
$440$	3.04959	+	1.36942i	0.145383	+	0.0652846i
$441$	−1.79496	+	3.93043i	−0.0854745	+	0.187163i
$442$	−7.06489	−	24.0608i	−0.336043	−	1.14446i
$443$	−8.65078	+	3.95068i	−0.411011	+	0.187702i	−0.610180	−	0.792263i	$-0.708903\pi$
$443$	−8.65078	+	3.95068i	−0.411011	+	0.187702i	0.199169	+	0.979965i	$0.436176\pi$
$444$	9.63804	+	11.1229i	0.457401	+	0.527869i
$445$	−1.10152	+	8.02163i	−0.0522170	+	0.380262i
$446$	−5.27647	−	1.54931i	−0.249848	−	0.0733620i
$447$	−31.0690	−	26.9214i	−1.46951	−	1.27334i
$448$	−1.30608	+	2.03231i	−0.0617067	+	0.0960175i
$449$	13.4491	+	8.64324i	0.634704	+	0.407900i	0.818049	−	0.575149i	$-0.195056\pi$
$449$	13.4491	+	8.64324i	0.634704	+	0.407900i	−0.183344	+	0.983049i	$0.558692\pi$
$450$	−5.45489	−	17.7429i	−0.257146	−	0.836410i
$451$	−7.31153	−	2.14686i	−0.344286	−	0.101092i
$452$	−18.8107	+	2.70457i	−0.884781	+	0.127212i
$453$	21.1208	−	18.3013i	0.992341	−	0.859868i
$454$	0.885356	+	1.93866i	0.0415518	+	0.0909858i
$455$	21.9082	−	0.138778i	1.02707	−	0.00650600i
$456$	0.755099	−	1.65344i	0.0353607	−	0.0774292i
$457$	0.0670682	+	0.00964295i	0.00313732	+	0.000451078i	0.143883	−	0.989595i	$-0.454041\pi$
$457$	0.0670682	+	0.00964295i	0.00313732	+	0.000451078i	−0.140746	+	0.990046i	$0.544950\pi$
$458$	10.0943	+	15.7070i	0.471675	+	0.733940i
$459$	−11.4138			−0.532752
$460$	3.28787	+	10.2073i	0.153298	+	0.475920i
$461$	−10.2698			−0.478315			−0.239157	−	0.970981i	$-0.576871\pi$
$461$	−10.2698			−0.478315			−0.239157	+	0.970981i	$0.576871\pi$
$462$	5.05893	+	7.87184i	0.235363	+	0.366231i
$463$	−31.4603	−	4.52330i	−1.46208	−	0.210216i	−0.635094	−	0.772435i	$-0.719039\pi$
$463$	−31.4603	−	4.52330i	−1.46208	−	0.210216i	−0.826988	+	0.562219i	$0.809948\pi$
$464$	−2.53349	+	5.54757i	−0.117614	+	0.257539i
$465$	−0.167575	−	26.4543i	−0.00777111	−	1.22679i
$466$	−5.07675	−	11.1165i	−0.235176	−	0.514963i
$467$	3.00482	−	2.60369i	0.139046	−	0.120484i	−0.582561	−	0.812787i	$-0.697949\pi$
$467$	3.00482	−	2.60369i	0.139046	−	0.120484i	0.721607	+	0.692303i	$0.243404\pi$
$468$	14.9037	−	2.14282i	0.688922	−	0.0990520i
$469$	7.59795	+	2.23096i	0.350841	+	0.103016i
$470$	8.47528	−	5.52290i	0.390936	−	0.254752i
$471$	−6.67640	−	4.29066i	−0.307633	−	0.197703i
$472$	−7.96432	+	12.3927i	−0.366587	+	0.570421i
$473$	5.70176	+	4.94061i	0.262167	+	0.227169i
$474$	−5.84889	−	1.71739i	−0.268648	−	0.0788823i
$475$	1.41670	−	3.20912i	0.0650026	−	0.147244i
$476$	9.78163	+	11.2886i	0.448340	+	0.517412i
$477$	−17.9508	+	8.19785i	−0.821910	+	0.375354i
$478$	0.198700	+	0.676711i	0.00908834	+	0.0309521i
$479$	−1.46663	+	3.21147i	−0.0670120	+	0.146736i	−0.940174	−	0.340694i	$-0.889338\pi$
$479$	−1.46663	+	3.21147i	−0.0670120	+	0.146736i	0.873162	+	0.487429i	$0.162065\pi$
$480$	−2.37320	+	5.28493i	−0.108321	+	0.241223i
$481$	−19.3817	+	12.4559i	−0.883732	+	0.567940i
$482$		−	8.53144i		−	0.388596i
$483$	−7.88838	+	28.9620i	−0.358934	+	1.31782i
$484$	8.76494			0.398406
$485$	−7.63479	−	25.4053i	−0.346678	−	1.15359i
$486$	−3.13126	+	21.7784i	−0.142037	+	0.987889i
$487$	−3.53050	−	1.61232i	−0.159982	−	0.0730614i	0.333815	−	0.942639i	$-0.391664\pi$
$487$	−3.53050	−	1.61232i	−0.159982	−	0.0730614i	−0.493797	+	0.869577i	$0.664391\pi$
$488$	4.05674	+	13.8160i	0.183640	+	0.625421i
$489$	−3.16986	−	6.94102i	−0.143346	−	0.313884i
$490$	2.36043	−	1.09609i	0.106633	−	0.0495164i
$491$	−3.74182	−	26.0250i	−0.168866	−	1.17449i	−0.881233	−	0.472682i	$-0.843286\pi$
$491$	−3.74182	−	26.0250i	−0.168866	−	1.17449i	0.712367	−	0.701807i	$-0.247623\pi$
$492$	3.72050	−	12.6708i	0.167733	−	0.571246i
$493$	28.4980	+	24.6937i	1.28349	+	1.11215i
$494$	2.39373	+	1.53836i	0.107699	+	0.0692139i
$495$	8.18655	+	9.32773i	0.367958	+	0.419250i
$496$	−2.99039	+	3.45109i	−0.134272	+	0.154958i
$497$	−7.69589	+	26.2098i	−0.345208	+	1.17567i
$498$	7.49266	−	1.07728i	0.335754	−	0.0482741i
$499$	11.6560	+	13.4517i	0.521793	+	0.602181i	0.954079	−	0.299555i	$-0.0968383\pi$
$499$	11.6560	+	13.4517i	0.521793	+	0.602181i	−0.432286	+	0.901737i	$0.642293\pi$
$500$	−4.45039	+	10.2564i	−0.199028	+	0.458681i
$501$	−38.4234	+	11.2821i	−1.71663	+	0.504048i
$502$	−22.9667	−	10.4885i	−1.02505	−	0.468127i
$503$	12.5167	+	1.79963i	0.558094	+	0.0802417i	0.415589	−	0.909552i	$-0.363575\pi$
$503$	12.5167	+	1.79963i	0.558094	+	0.0802417i	0.142504	+	0.989794i	$0.454484\pi$
$504$	−7.54495	+	4.84885i	−0.336079	+	0.215985i
$505$	−41.1329	−	11.7952i	−1.83039	−	0.524880i
$506$	−4.80096	−	5.32515i	−0.213429	−	0.236732i
$507$			8.93565i			0.396846i
$508$	7.18318	+	11.1772i	0.318702	+	0.495910i
$509$	0.724478	−	5.03886i	0.0321119	−	0.223343i	−0.967446	−	0.253078i	$-0.918557\pi$
$509$	0.724478	−	5.03886i	0.0321119	−	0.223343i	0.999558	+	0.0297345i	$0.00946618\pi$
$510$	27.2191	+	23.2853i	1.20528	+	1.03109i
$511$	−7.77710	+	2.28356i	−0.344039	+	0.101019i
$512$	0.909632	−	0.415415i	0.0402004	−	0.0183589i
$513$	0.978788	−	0.848125i	0.0432146	−	0.0374456i
$514$	0.800716	+	5.56910i	0.0353181	+	0.245643i
$515$	5.95008	−	9.38873i	0.262192	−	0.413717i
$516$	−8.56205	+	9.88114i	−0.376923	+	0.434993i
$517$	−3.65659	+	5.68976i	−0.160817	+	0.250235i
$518$	7.41939	−	11.5448i	0.325989	−	0.507249i
$519$	21.9842	−	25.3712i	0.965001	−	1.11367i
$520$	−7.66013	−	4.85458i	−0.335919	−	0.212888i
$521$	−0.479945	−	3.33809i	−0.0210268	−	0.146244i	0.976603	−	0.215048i	$-0.0689909\pi$
$521$	−0.479945	−	3.33809i	−0.0210268	−	0.146244i	−0.997630	+	0.0688037i	$0.978082\pi$
$522$	−17.1113	+	14.8270i	−0.748939	+	0.648960i
$523$	11.6173	−	5.30545i	0.507990	−	0.231991i	−0.144897	−	0.989447i	$-0.546285\pi$
$523$	11.6173	−	5.30545i	0.507990	−	0.231991i	0.652887	+	0.757456i	$0.273558\pi$
$524$	−13.3536	+	3.92098i	−0.583356	+	0.171289i
$525$	−26.1106	+	17.2515i	−1.13956	+	0.752918i
$526$	3.18101	−	22.1244i	0.138699	−	0.964671i
$527$	15.2647	+	23.7523i	0.664939	+	1.03467i
$528$		−	3.87335i		−	0.168566i
$529$	2.37487	−	22.8771i	0.103255	−	0.994655i
$530$	11.4255	+	3.27636i	0.496292	+	0.142316i
$531$	−46.0081	+	29.5676i	−1.99658	+	1.28312i
$532$	−1.67764	−	0.241208i	−0.0727348	−	0.0104577i
$533$	18.8043	+	8.58761i	0.814502	+	0.371971i
$534$	9.00157	−	2.64310i	0.389536	−	0.114378i
$535$	38.7558	−	5.82305i	1.67556	−	0.251752i
$536$	−2.14655	−	2.47725i	−0.0927169	−	0.107001i
$537$	−28.4674	+	4.09299i	−1.22846	+	0.176626i
$538$	−0.543199	+	1.84997i	−0.0234190	+	0.0797577i
$539$	−1.13946	+	1.31501i	−0.0490801	+	0.0566415i
$540$	−3.10239	+	2.72283i	−0.133505	+	0.117172i
$541$	11.6836	+	7.50856i	0.502315	+	0.322818i	0.767142	−	0.641478i	$-0.221678\pi$
$541$	11.6836	+	7.50856i	0.502315	+	0.322818i	−0.264826	+	0.964296i	$0.585315\pi$
$542$	0.866736	+	0.751031i	0.0372295	+	0.0322595i
$543$	3.67581	−	12.5187i	0.157744	−	0.537227i
$544$	−0.879934	−	6.12007i	−0.0377269	−	0.262396i
$545$	14.0833	+	30.3283i	0.603264	+	1.29912i
$546$	−10.5452	−	23.0908i	−0.451294	−	0.988195i
$547$	5.65506	+	19.2594i	0.241793	+	0.823471i	0.987557	+	0.157261i	$0.0502664\pi$
$547$	5.65506	+	19.2594i	0.241793	+	0.823471i	−0.745764	+	0.666210i	$0.767915\pi$
$548$	−15.3864	−	7.02673i	−0.657274	−	0.300167i
$549$	−7.60778	+	52.9133i	−0.324692	+	2.25828i
$550$	−0.0946977	−	7.47446i	−0.00403793	−	0.318712i
$551$	−4.27874			−0.182280
$552$	9.22846	−	8.32005i	0.392789	−	0.354125i
$553$			5.68397i			0.241707i
$554$	13.0707	−	8.40003i	0.555321	−	0.356883i
$555$	13.4813	−	30.0218i	0.572250	−	1.27435i
$556$	−7.45127	+	16.3160i	−0.316004	+	0.691953i
$557$	−10.4569	−	35.6128i	−0.443071	−	1.50896i	−0.814313	−	0.580425i	$-0.802886\pi$
$557$	−10.4569	−	35.6128i	−0.443071	−	1.50896i	0.371242	−	0.928536i	$-0.378932\pi$
$558$	−15.4210	+	7.04252i	−0.652821	+	0.298133i
$559$	−13.4031	−	15.4680i	−0.566889	−	0.654225i
$560$	5.35169	+	0.734887i	0.226150	+	0.0310546i
$561$	−22.9789	−	6.74721i	−0.970169	−	0.284867i
$562$	2.92551	+	2.53496i	0.123405	+	0.106931i
$563$	−10.5256	+	16.3781i	−0.443601	+	0.690257i	−0.988999	−	0.147920i	$-0.952742\pi$
$563$	−10.5256	+	16.3781i	−0.443601	+	0.690257i	0.545398	+	0.838177i	$0.316378\pi$
$564$	−9.86034	−	6.33685i	−0.415195	−	0.266830i
$565$	23.2003	+	35.6024i	0.976043	+	1.49781i
$566$	20.1053	+	5.90344i	0.845088	+	0.248140i
$567$	15.1957	−	2.18482i	0.638161	−	0.0917537i
$568$	8.54550	−	7.40472i	0.358561	−	0.310695i
$569$	−1.96027	−	4.29239i	−0.0821787	−	0.179946i	0.864082	−	0.503351i	$-0.167900\pi$
$569$	−1.96027	−	4.29239i	−0.0821787	−	0.179946i	−0.946261	+	0.323405i	$0.895172\pi$
$570$	−4.06441	+	0.0257460i	−0.170239	+	0.00107838i
$571$	15.2898	−	33.4800i	0.639858	−	1.40109i	−0.260299	−	0.965528i	$-0.583821\pi$
$571$	15.2898	−	33.4800i	0.639858	−	1.40109i	0.900157	−	0.435566i	$-0.143452\pi$
$572$	6.00165	+	0.862906i	0.250941	+	0.0360799i
$573$	10.3887	+	16.1652i	0.433996	+	0.675311i
$574$	−12.3136			−0.513958
$575$	17.6049	−	16.2809i	0.734174	−	0.678962i
$576$	3.71251			0.154688
$577$	23.0160	+	35.8136i	0.958168	+	1.49094i	0.868934	+	0.494928i	$0.164806\pi$
$577$	23.0160	+	35.8136i	0.958168	+	1.49094i	0.0892342	+	0.996011i	$0.471558\pi$
$578$	−21.0135	−	3.02129i	−0.874047	−	0.125669i
$579$	14.4958	−	31.7414i	0.602426	−	1.31913i
$580$	13.6368	−	0.0863824i	0.566238	−	0.00358683i
$581$	−2.93212	−	6.42044i	−0.121645	−	0.266365i
$582$	−23.2292	+	20.1282i	−0.962882	+	0.834342i
$583$	−7.86596	+	1.13095i	−0.325775	+	0.0468394i
$584$	3.21925	+	0.945259i	0.133214	+	0.0391151i
$585$	−18.3815	−	28.2077i	−0.759982	−	1.16624i
$586$	5.02155	+	3.22715i	0.207438	+	0.133312i
$587$	−16.0681	+	25.0024i	−0.663201	+	1.03196i	0.332833	+	0.942986i	$0.391995\pi$
$587$	−16.0681	+	25.0024i	−0.663201	+	1.03196i	−0.996034	+	0.0889750i	$0.971641\pi$
$588$	−2.27891	−	1.97468i	−0.0939806	−	0.0814346i
$589$	−3.07397	−	0.902598i	−0.126661	−	0.0371909i
$590$	32.6338	+	4.48124i	1.34351	+	0.184490i
$591$	−2.54946	−	2.94223i	−0.104871	−	0.121027i
$592$	−5.16729	+	2.35982i	−0.212374	+	0.0969881i
$593$	−12.1010	−	41.2121i	−0.496927	−	1.69238i	−0.700781	−	0.713377i	$-0.747165\pi$
$593$	−12.1010	−	41.2121i	−0.496927	−	1.69238i	0.203854	−	0.979001i	$-0.434653\pi$
$594$	1.14646	−	2.51040i	0.0470398	−	0.103003i
$595$	13.6822	−	30.4690i	0.560914	−	1.24911i
$596$	13.3485	−	8.57858i	0.546777	−	0.351392i
$597$			3.13371i			0.128254i
$598$	10.8357	+	16.1528i	0.443107	+	0.660536i
$599$	−41.0730			−1.67820			−0.839099	−	0.543979i	$-0.816917\pi$
$599$	−41.0730			−1.67820			−0.839099	+	0.543979i	$0.816917\pi$
$600$	12.9532	−	0.164111i	0.528813	−	0.00669980i
$601$	4.05076	−	28.1736i	0.165234	−	1.14923i	−0.723340	−	0.690492i	$-0.757394\pi$
$601$	4.05076	−	28.1736i	0.165234	−	1.14923i	0.888574	−	0.458734i	$-0.151697\pi$
$602$	11.0896	+	5.06444i	0.451977	+	0.206411i
$603$	−3.42844	−	11.6762i	−0.139617	−	0.475492i
$604$	4.48097	+	9.81195i	0.182328	+	0.399243i
$605$	−8.25448	−	17.7759i	−0.335592	−	0.722695i
$606$	7.05598	+	49.0754i	0.286629	+	1.99355i
$607$	−2.04027	+	6.94851i	−0.0828119	+	0.282031i	−0.990480	−	0.137658i	$-0.956043\pi$
$607$	−2.04027	+	6.94851i	−0.0828119	+	0.282031i	0.907668	+	0.419689i	$0.137861\pi$
$608$	0.530221	+	0.459439i	0.0215033	+	0.0186327i
$609$	32.1121	+	20.6372i	1.30125	+	0.836260i
$610$	24.1994	−	21.2388i	0.979805	−	0.859932i
$611$	12.0155	−	13.8666i	0.486093	−	0.560982i
$612$	6.46702	−	22.0247i	0.261414	−	0.890294i
$613$	−26.7135	+	3.84083i	−1.07895	+	0.155130i	−0.658795	−	0.752323i	$-0.728933\pi$
$613$	−26.7135	+	3.84083i	−1.07895	+	0.155130i	−0.420155	+	0.907452i	$0.638024\pi$
$614$	−9.00847	−	10.3963i	−0.363552	−	0.419562i
$615$	−29.2012	+	4.38748i	−1.17751	+	0.176920i
$616$	−3.46536	+	1.01752i	−0.139623	+	0.0409972i
$617$	−14.4775	−	6.61165i	−0.582842	−	0.266175i	0.102098	−	0.994774i	$-0.467444\pi$
$617$	−14.4775	−	6.61165i	−0.582842	−	0.266175i	−0.684940	+	0.728599i	$0.740172\pi$
$618$	−12.7479	−	1.83287i	−0.512796	−	0.0737289i
$619$	−11.6323	+	7.47565i	−0.467543	+	0.300472i	−0.753119	−	0.657884i	$-0.771452\pi$
$619$	−11.6323	+	7.47565i	−0.467543	+	0.300472i	0.285576	+	0.958356i	$0.407815\pi$
$620$	9.81530	+	2.81462i	0.394192	+	0.113038i
$621$	8.44377	−	2.66089i	0.338837	−	0.106778i
$622$		−	28.1519i		−	1.12879i
$623$	−4.72939	−	7.35907i	−0.189479	−	0.294835i
$624$	−1.49541	+	10.4008i	−0.0598645	+	0.416366i
$625$	24.9920	−	0.633374i	0.999679	−	0.0253349i
$626$	2.76955	−	0.813212i	0.110693	−	0.0325025i
$627$	2.47191	−	1.12888i	0.0987184	−	0.0450832i
$628$	2.31500	−	2.00596i	0.0923786	−	0.0800465i
$629$	4.99859	+	34.7659i	0.199307	+	1.38621i
$630$	16.9394	+	10.7353i	0.674881	+	0.427703i
$631$	−23.8670	+	27.5440i	−0.950131	+	1.09651i	0.0451017	+	0.998982i	$0.485639\pi$
$631$	−23.8670	+	27.5440i	−0.950131	+	1.09651i	−0.995233	+	0.0975273i	$0.968907\pi$
$632$	1.27203	−	1.97932i	0.0505987	−	0.0787331i
$633$	−7.57658	+	11.7894i	−0.301142	+	0.468586i
$634$	−11.0603	+	12.7643i	−0.439260	+	0.506933i
$635$	15.9034	−	25.0943i	0.631108	−	0.995837i
$636$	−1.95994	−	13.6317i	−0.0777167	−	0.540531i
$637$	3.56741	−	3.09118i	0.141346	−	0.122477i
$638$	−8.29368	+	3.78760i	−0.328350	+	0.149952i
$639$	40.2781	−	11.8267i	1.59338	−	0.467858i
$640$	−1.69915	−	1.45358i	−0.0671648	−	0.0574578i
$641$	0.564030	−	3.92292i	0.0222779	−	0.154946i	−0.975646	−	0.219351i	$-0.929606\pi$
$641$	0.564030	−	3.92292i	0.0222779	−	0.154946i	0.997924	+	0.0644053i	$0.0205150\pi$
$642$	−24.5500	−	38.2005i	−0.968910	−	1.50765i
$643$		−	24.8411i		−	0.979637i	−0.871824	−	0.489818i	$-0.837063\pi$
$643$		−	24.8411i		−	0.979637i	0.871824	−	0.489818i	$-0.162937\pi$
$644$	−9.86797	−	6.07074i	−0.388853	−	0.239221i
$645$	28.1031	+	8.05880i	1.10656	+	0.317315i
$646$	3.64927	−	2.34524i	0.143579	−	0.0922723i
$647$	25.4353	+	3.65704i	0.999963	+	0.143773i	0.622806	−	0.782376i	$-0.285993\pi$
$647$	25.4353	+	3.65704i	0.999963	+	0.143773i	0.377157	+	0.926149i	$0.376902\pi$
$648$	−5.78054	−	2.63988i	−0.227081	−	0.103704i
$649$	−21.1313	+	6.20471i	−0.829476	+	0.243556i
$650$	−2.63143	+	20.1072i	−0.103213	+	0.788668i
$651$	18.7168	+	21.6004i	0.733570	+	0.846585i
$652$	2.91522	−	0.419146i	0.114169	−	0.0164150i
$653$	−12.7330	+	43.3646i	−0.498280	+	1.69699i	0.198839	+	0.980032i	$0.436283\pi$
$653$	−12.7330	+	43.3646i	−0.498280	+	1.69699i	−0.697120	+	0.716955i	$0.745535\pi$
$654$	25.3721	−	29.2809i	0.992126	−	1.14497i
$655$	20.5280	+	23.3895i	0.802094	+	0.913904i
$656$	4.28794	+	2.75569i	0.167416	+	0.107592i
$657$	9.41367	+	8.15699i	0.367262	+	0.318234i
$658$	−3.07909	+	10.4864i	−0.120035	+	0.408803i
$659$	−1.30081	−	9.04735i	−0.0506724	−	0.352435i	−0.999345	−	0.0361759i	$-0.988482\pi$
$659$	−1.30081	−	9.04735i	−0.0506724	−	0.352435i	0.948673	−	0.316259i	$-0.102427\pi$
$660$	−7.85545	+	3.64778i	−0.305773	+	0.141989i
$661$	−14.8571	−	32.5326i	−0.577875	−	1.26537i	−0.942497	−	0.334214i	$-0.891529\pi$
$661$	−14.8571	−	32.5326i	−0.577875	−	1.26537i	0.364622	−	0.931156i	$-0.381198\pi$
$662$	6.57628	+	22.3968i	0.255595	+	0.870475i
$663$	59.0985	+	26.9894i	2.29520	+	1.04818i
$664$	−0.415802	+	2.89197i	−0.0161363	+	0.112230i
$665$	1.09075	+	3.62953i	0.0422974	+	0.140747i
$666$	−21.0894			−0.817198
$667$	−26.8391	−	11.6243i	−1.03922	−	0.450094i
$668$		−	15.4565i		−	0.598030i
$669$	11.9859	−	7.70287i	0.463402	−	0.297810i
$670$	−3.00251	+	6.68635i	−0.115997	+	0.258316i
$671$	−8.94268	+	19.5817i	−0.345228	+	0.755944i
$672$	−1.76336	−	6.00546i	−0.0680232	−	0.231666i
$673$	8.30660	−	3.79350i	0.320196	−	0.146229i	−0.248832	−	0.968547i	$-0.580047\pi$
$673$	8.30660	−	3.79350i	0.320196	−	0.146229i	0.569028	+	0.822318i	$0.307320\pi$
$674$	−6.96677	−	8.04008i	−0.268350	−	0.309692i
$675$	8.44381	+	3.72761i	0.325002	+	0.143476i
$676$	−3.30922	−	0.971675i	−0.127278	−	0.0373721i
$677$	−10.2257	−	8.86062i	−0.393006	−	0.340541i	0.435834	−	0.900027i	$-0.356453\pi$
$677$	−10.2257	−	8.86062i	−0.393006	−	0.340541i	−0.828840	+	0.559485i	$0.810999\pi$
$678$	26.6195	−	41.4207i	1.02231	−	1.59075i
$679$	24.1103	+	15.4948i	0.925270	+	0.594635i
$680$	−11.5833	+	7.54822i	−0.444198	+	0.289461i
$681$	−5.29810	−	1.55566i	−0.203024	−	0.0596131i
$682$	−6.75740	+	0.971568i	−0.258754	+	0.0372033i
$683$	0.226706	−	0.196442i	0.00867466	−	0.00751664i	−0.650513	−	0.759495i	$-0.725446\pi$
$683$	0.226706	−	0.196442i	0.00867466	−	0.00751664i	0.659187	+	0.751979i	$0.270900\pi$
$684$	1.08200	+	2.36926i	0.0413714	+	0.0905908i
$685$	0.239585	+	37.8222i	0.00915407	+	1.44511i
$686$	−8.19296	+	17.9401i	−0.312809	+	0.684955i
$687$	−47.8813	−	6.88429i	−1.82678	−	0.262652i
$688$	−2.72832	−	4.24535i	−0.104016	−	0.161852i
$689$	21.5585			0.821314
$690$	−25.5647	−	10.8805i	−0.973231	−	0.414214i
$691$	0.587233			0.0223394			0.0111697	−	0.999938i	$-0.496445\pi$
$691$	0.587233			0.0223394			0.0111697	+	0.999938i	$0.496445\pi$
$692$	7.00534	+	10.9005i	0.266303	+	0.414375i
$693$	−13.2718	−	1.90820i	−0.504156	−	0.0724866i
$694$	−5.39856	+	11.8212i	−0.204927	+	0.448727i
$695$	40.1074	−	0.254060i	1.52136	−	0.00963706i
$696$	−6.56389	−	14.3729i	−0.248804	−	0.544804i
$697$	23.8177	−	20.6381i	0.902159	−	0.781725i
$698$	−6.41553	+	0.922415i	−0.242832	+	0.0349139i
$699$	30.3800	+	8.92037i	1.14908	+	0.337399i
$700$	−3.54961	−	11.5457i	−0.134163	−	0.436387i
$701$	38.7268	+	24.8882i	1.46269	+	0.940016i	0.998526	+	0.0542674i	$0.0172823\pi$
$701$	38.7268	+	24.8882i	1.46269	+	0.940016i	0.464166	+	0.885748i	$0.346354\pi$
$702$	−4.04771	+	6.29836i	−0.152771	+	0.237716i
$703$	−3.01199	−	2.60991i	−0.113600	−	0.0984345i
$704$	1.43445	+	0.421194i	0.0540630	+	0.0158743i
$705$	−3.56552	+	25.9653i	−0.134285	+	0.977910i
$706$	11.7763	+	13.5906i	0.443207	+	0.511488i
$707$	42.0526	−	19.2048i	1.58155	−	0.722270i
$708$	−10.7527	−	36.6205i	−0.404113	−	1.37628i
$709$	20.8063	−	45.5594i	0.781396	−	1.71102i	0.0816110	−	0.996664i	$-0.473993\pi$
$709$	20.8063	−	45.5594i	0.781396	−	1.71102i	0.699785	−	0.714354i	$-0.253279\pi$
$710$	−23.0652	−	10.3574i	−0.865620	−	0.388708i
$711$	7.34824	−	4.72243i	0.275581	−	0.177105i
$712$			3.62104i			0.135704i
$713$	−16.8299	−	14.0129i	−0.630283	−	0.524788i
$714$	−38.6994			−1.44829
$715$	−3.90208	−	12.9844i	−0.145930	−	0.485590i
$716$	1.57979	−	10.9877i	0.0590394	−	0.410628i
$717$	−1.66215	−	0.759078i	−0.0620741	−	0.0283483i
$718$	5.99571	+	20.4195i	0.223758	+	0.762049i
$719$	12.7313	+	27.8776i	0.474797	+	1.03966i	0.983862	+	0.178931i	$0.0572640\pi$
$719$	12.7313	+	27.8776i	0.474797	+	1.03966i	−0.509065	+	0.860728i	$0.670009\pi$
$720$	−3.49630	−	7.52924i	−0.130299	−	0.280598i
$721$	1.70904	+	11.8866i	0.0636479	+	0.442681i
$722$	5.21424	−	17.7581i	0.194054	−	0.660888i
$723$	16.7048	+	14.4748i	0.621260	+	0.538325i
$724$	4.23644	+	2.72259i	0.157446	+	0.101184i
$725$	−13.0178	−	27.5751i	−0.483470	−	1.02411i
$726$	−14.8710	+	17.1620i	−0.551915	+	0.636943i
$727$	−2.77362	+	9.44608i	−0.102868	+	0.350336i	−0.994802	−	0.101830i	$-0.967530\pi$
$727$	−2.77362	+	9.44608i	−0.102868	+	0.350336i	0.891934	+	0.452166i	$0.149348\pi$
$728$	9.69813	−	1.39438i	0.359437	−	0.0516792i
$729$	−24.8457	−	28.6735i	−0.920211	−	1.06198i
$730$	−1.11472	−	7.41910i	−0.0412575	−	0.274593i
$731$	−29.9384	+	8.79070i	−1.10731	+	0.325136i
$732$	−33.9351	−	15.4976i	−1.25428	−	0.572809i
$733$	−29.2600	−	4.20696i	−1.08074	−	0.155388i	−0.421136	−	0.906997i	$-0.638369\pi$
$733$	−29.2600	−	4.20696i	−1.08074	−	0.155388i	−0.659608	+	0.751610i	$0.729278\pi$
$734$	10.7088	−	6.88213i	0.395269	−	0.254024i
$735$	−1.85862	+	6.48148i	−0.0685562	+	0.239073i
$736$	2.07772	+	4.32239i	0.0765859	+	0.159325i
$737$		−	4.90046i		−	0.180511i
$738$	10.2305	+	15.9190i	0.376591	+	0.585986i
$739$	2.37446	−	16.5148i	0.0873460	−	0.607505i	−0.898389	−	0.439201i	$-0.855262\pi$
$739$	2.37446	−	16.5148i	0.0873460	−	0.607505i	0.985735	−	0.168304i	$-0.0538292\pi$
$740$	9.65225	+	8.25726i	0.354824	+	0.303543i
$741$	−7.07346	+	2.07696i	−0.259850	+	0.0762989i
$742$	−11.6810	+	5.33451i	−0.428821	+	0.195836i
$743$	−2.29186	+	1.98591i	−0.0840803	+	0.0728560i	−0.695887	−	0.718151i	$-0.744989\pi$
$743$	−2.29186	+	1.98591i	−0.0840803	+	0.0728560i	0.611807	+	0.791007i	$0.290443\pi$
$744$	−1.68372	−	11.7106i	−0.0617283	−	0.429330i
$745$	−29.9691	−	18.9928i	−1.09798	−	0.695843i
$746$	−14.9887	+	17.2979i	−0.548776	+	0.633321i
$747$	−5.86425	+	9.12496i	−0.214562	+	0.333865i
$748$	4.99751	−	7.77627i	0.182727	−	0.284329i
$749$	−27.7275	+	31.9993i	−1.01314	+	1.16923i
$750$	−12.5317	−	26.1155i	−0.457592	−	0.953604i
$751$	5.44047	+	37.8393i	0.198526	+	1.38078i	0.808566	+	0.588406i	$0.200244\pi$
$751$	5.44047	+	37.8393i	0.198526	+	1.38078i	−0.610040	+	0.792371i	$0.708847\pi$
$752$	3.41901	−	2.96259i	0.124678	−	0.108035i
$753$	59.5033	−	27.1743i	2.16842	−	0.990285i
$754$	23.7327	−	6.96855i	0.864294	−	0.253780i
$755$	15.6794	−	18.3283i	0.570630	−	0.667033i
$756$	0.634665	−	4.41419i	0.0230825	−	0.160543i
$757$	4.34433	+	6.75990i	0.157897	+	0.245693i	0.911184	−	0.411999i	$-0.135169\pi$
$757$	4.34433	+	6.75990i	0.157897	+	0.245693i	−0.753287	+	0.657692i	$0.771533\pi$
$758$			20.5362i			0.745909i
$759$	18.5724	−	0.365552i	0.674134	−	0.0132687i
$760$	0.432435	−	1.50801i	0.0156861	−	0.0547013i
$761$	36.9682	−	23.7580i	1.34010	−	0.861228i	0.343147	−	0.939282i	$-0.388507\pi$
$761$	36.9682	−	23.7580i	1.34010	−	0.861228i	0.996949	+	0.0780539i	$0.0248706\pi$
$762$	−34.0727	−	4.89892i	−1.23432	−	0.177469i
$763$	−32.8619	−	15.0075i	−1.18968	−	0.543309i
$764$	−7.11629	+	2.08953i	−0.257458	+	0.0755966i
$765$	−50.7580	+	7.62637i	−1.83516	+	0.275732i
$766$	7.03369	+	8.11732i	0.254138	+	0.293291i
$767$	59.1378	−	8.50274i	2.13534	−	0.307016i
$768$	−0.729927	+	2.48590i	−0.0263390	+	0.0897023i
$769$	10.6393	−	12.2784i	0.383663	−	0.442771i	−0.530765	−	0.847519i	$-0.678095\pi$
$769$	10.6393	−	12.2784i	0.383663	−	0.442771i	0.914428	+	0.404748i	$0.132641\pi$
$770$	5.32716	+	6.06975i	0.191977	+	0.218739i
$771$	−12.2630	−	7.88097i	−0.441642	−	0.283826i
$772$	10.1788	+	8.81998i	0.366343	+	0.317438i
$773$	−10.0254	+	34.1434i	−0.360589	+	1.22805i	0.556997	+	0.830515i	$0.311954\pi$
$773$	−10.0254	+	34.1434i	−0.360589	+	1.22805i	−0.917586	+	0.397538i	$0.869865\pi$
$774$	−2.66627	−	18.5443i	−0.0958371	−	0.666562i
$775$	−3.53541	−	22.5569i	−0.126996	−	0.810266i
$776$	−4.92829	−	10.7915i	−0.176915	−	0.387391i
$777$	10.0170	+	34.1149i	0.359359	+	1.22386i
$778$	12.5590	+	5.73550i	0.450262	+	0.205628i
$779$	−0.508921	+	3.53963i	−0.0182340	+	0.126820i
$780$	22.5020	−	6.76229i	0.805700	−	0.242129i
$781$	16.9046			0.604894
$782$	29.2621	−	4.79679i	1.04641	−	0.171533i
$783$		−	11.2582i		−	0.402335i
$784$	0.979114	−	0.629238i	0.0349684	−	0.0224728i
$785$	−6.24842	−	2.80586i	−0.223016	−	0.100145i
$786$	14.9790	−	32.7994i	0.534282	−	1.16991i
$787$	13.2613	+	45.1638i	0.472714	+	1.60992i	0.758534	+	0.651633i	$0.225916\pi$
$787$	13.2613	+	45.1638i	0.472714	+	1.60992i	−0.285820	+	0.958283i	$0.592266\pi$
$788$	1.36686	−	0.624222i	0.0486922	−	0.0222370i
$789$	37.9233	+	43.7659i	1.35011	+	1.55811i
$790$	−5.21216	−	0.715727i	−0.185440	−	0.0254644i
$791$	−44.0506	−	12.9344i	−1.56626	−	0.459896i
$792$	4.19460	+	3.63464i	0.149048	+	0.129151i
$793$	31.5732	−	49.1288i	1.12120	−	1.74462i
$794$	−26.6878	−	17.1512i	−0.947114	−	0.608673i
$795$	−25.8003	+	16.8127i	−0.915041	+	0.596285i
$796$	−1.16053	−	0.340763i	−0.0411340	−	0.0120780i
$797$	33.9932	−	4.88748i	1.20410	−	0.173124i	0.489088	−	0.872235i	$-0.337330\pi$
$797$	33.9932	−	4.88748i	1.20410	−	0.173124i	0.715013	+	0.699111i	$0.246421\pi$
$798$	3.31865	−	2.87563i	0.117479	−	0.101796i
$799$	−11.6200	−	25.4442i	−0.411085	−	0.900150i
$800$	−1.34777	+	4.81493i	−0.0476510	+	0.170233i
$801$	−5.58449	+	12.2283i	−0.197318	+	0.432067i
$802$	12.6278	+	1.81560i	0.445903	+	0.0641111i
$803$	2.71186	+	4.21974i	0.0956994	+	0.148911i
$804$	8.49248			0.299507
$805$	−3.01864	+	25.7302i	−0.106393	+	0.906870i
$806$	18.5203			0.652348
$807$	−2.70068	−	4.20234i	−0.0950685	−	0.147929i
$808$	−18.9418	−	2.72342i	−0.666370	−	0.0958096i
$809$	4.28637	−	9.38585i	0.150701	−	0.329989i	−0.819193	−	0.573519i	$-0.805578\pi$
$809$	4.28637	−	9.38585i	0.150701	−	0.329989i	0.969893	+	0.243530i	$0.0783053\pi$
$810$	0.0900101	+	14.2095i	0.00316263	+	0.499271i
$811$	−2.70172	−	5.91594i	−0.0948703	−	0.207737i	0.856247	−	0.516566i	$-0.172790\pi$
$811$	−2.70172	−	5.91594i	−0.0948703	−	0.207737i	−0.951117	+	0.308829i	$0.900063\pi$
$812$	−11.1347	+	9.64824i	−0.390750	+	0.338587i
$813$	−2.94109	+	0.422865i	−0.103148	+	0.0148305i
$814$	−8.14861	−	2.39265i	−0.285609	−	0.0838623i
$815$	−3.59550	−	5.51755i	−0.125945	−	0.193271i
$816$	13.4763	+	8.66066i	0.471763	+	0.303184i
$817$	1.91414	−	2.97847i	0.0669674	−	0.104203i
$818$	8.48595	+	7.35312i	0.296704	+	0.257096i
$819$	34.9012	+	10.2479i	1.21955	+	0.358091i
$820$	1.55053	−	11.2915i	0.0541468	−	0.394315i
$821$	−24.1404	−	27.8595i	−0.842504	−	0.972302i	0.157380	−	0.987538i	$-0.449695\pi$
$821$	−24.1404	−	27.8595i	−0.842504	−	0.972302i	−0.999884	+	0.0152365i	$0.995150\pi$
$822$	39.8638	−	18.2052i	1.39041	−	0.634979i
$823$	−1.55967	−	5.31173i	−0.0543665	−	0.185155i	0.927833	−	0.372996i	$-0.121669\pi$
$823$	−1.55967	−	5.31173i	−0.0543665	−	0.185155i	−0.982200	+	0.187840i	$0.939851\pi$
$824$	2.06501	−	4.52174i	0.0719379	−	0.157522i
$825$	14.7959	+	12.4961i	0.515128	+	0.435058i
$826$	−29.9384	+	19.2403i	−1.04169	+	0.669454i
$827$		−	34.5351i		−	1.20090i	−0.799661	−	0.600452i	$-0.794987\pi$
$827$		−	34.5351i		−	1.20090i	0.799661	−	0.600452i	$-0.205013\pi$
$828$	0.350372	+	17.8011i	0.0121763	+	0.618631i
$829$	44.1739			1.53422			0.767112	−	0.641514i	$-0.221693\pi$
$829$	44.1739			1.53422			0.767112	+	0.641514i	$0.221693\pi$
$830$	6.25671	−	1.88027i	0.217174	−	0.0652650i
$831$	−5.72881	+	39.8448i	−0.198730	+	1.38220i
$832$	−3.68922	−	1.68481i	−0.127901	−	0.0584103i
$833$	−2.02742	−	6.90475i	−0.0702459	−	0.239235i
$834$	−19.3051	−	42.2724i	−0.668482	−	1.46377i
$835$	−31.3469	+	14.5563i	−1.08481	+	0.503743i
$836$	0.149271	+	1.03820i	0.00516263	+	0.0359069i
$837$	2.37491	−	8.08820i	0.0820889	−	0.279569i
$838$	−9.40050	−	8.14558i	−0.324735	−	0.281384i
$839$	−28.4148	−	18.2611i	−0.980988	−	0.630443i	−0.0512585	−	0.998685i	$-0.516323\pi$
$839$	−28.4148	−	18.2611i	−0.980988	−	0.630443i	−0.929730	+	0.368243i	$0.879960\pi$
$840$	−10.5189	+	9.23195i	−0.362935	+	0.318532i
$841$	−5.36596	+	6.19265i	−0.185033	+	0.213540i
$842$	−2.48004	+	8.44625i	−0.0854679	+	0.291077i
$843$	−9.92710	+	1.42730i	−0.341907	+	0.0491589i
$844$	−3.54218	−	4.08790i	−0.121927	−	0.140711i
$845$	1.14587	+	7.62643i	0.0394191	+	0.262357i
$846$	16.1151	−	4.73181i	0.554047	−	0.162683i
$847$	19.2609	+	8.79616i	0.661813	+	0.302240i
$848$	5.26147	+	0.756485i	0.180680	+	0.0259778i
$849$	−45.6707	+	29.3508i	−1.56741	+	1.00732i
$850$	26.2170	+	16.3831i	0.899237	+	0.561936i
$851$	−11.8028	−	24.5539i	−0.404594	−	0.841699i
$852$			29.2956i			1.00365i
$853$	2.39038	+	3.71950i	0.0818450	+	0.127353i	0.879763	−	0.475413i	$-0.157701\pi$
$853$	2.39038	+	3.71950i	0.0818450	+	0.127353i	−0.797918	+	0.602767i	$0.794065\pi$
$854$	−4.95055	+	34.4318i	−0.169404	+	1.17823i
$855$	3.78604	−	4.42566i	0.129480	−	0.151354i
$856$	16.8167	−	4.93784i	0.574784	−	0.168772i
$857$	−53.1672	+	24.2807i	−1.81616	+	0.829411i	−0.883813	+	0.467841i	$0.845032\pi$
$857$	−53.1672	+	24.2807i	−1.81616	+	0.829411i	−0.932345	+	0.361571i	$0.882241\pi$
$858$	−11.8723	+	10.2874i	−0.405313	+	0.351205i
$859$	5.70704	+	39.6933i	0.194722	+	1.35432i	0.819304	+	0.573360i	$0.194360\pi$
$859$	5.70704	+	39.6933i	0.194722	+	1.35432i	−0.624582	+	0.780959i	$0.714731\pi$
$860$	−6.04046	+	9.53134i	−0.205978	+	0.325016i
$861$	20.8918	−	24.1104i	0.711989	−	0.821680i
$862$	14.9465	−	23.2571i	0.509078	−	0.792141i
$863$	−14.6706	+	22.8279i	−0.499392	+	0.777070i	−0.995852	−	0.0909901i	$-0.970997\pi$
$863$	−14.6706	+	22.8279i	−0.499392	+	0.777070i	0.496459	+	0.868060i	$0.334633\pi$
$864$	−1.20887	+	1.39511i	−0.0411267	+	0.0474628i
$865$	15.5097	−	24.4730i	0.527346	−	0.832108i
$866$	1.48018	+	10.2949i	0.0502985	+	0.349834i
$867$	41.5683	−	36.0191i	1.41173	−	1.22327i
$868$	−10.0347	+	4.58271i	−0.340601	+	0.155547i
$869$	3.37502	−	0.990994i	0.114490	−	0.0336172i
$870$	−22.9677	+	26.8479i	−0.778679	+	0.910230i
$871$	−1.89196	+	13.1588i	−0.0641065	+	0.445871i
$872$	8.08487	+	12.5803i	0.273788	+	0.426023i
$873$		−	44.0435i		−	1.49065i
$874$	−2.15293	+	2.58572i	−0.0728238	+	0.0874632i
$875$	−20.0727	+	18.0722i	−0.678580	+	0.610951i
$876$	−7.31279	+	4.69964i	−0.247076	+	0.158786i
$877$	10.3992	+	1.49519i	0.351157	+	0.0504888i	0.315637	−	0.948880i	$-0.397782\pi$
$877$	10.3992	+	1.49519i	0.351157	+	0.0504888i	0.0355208	+	0.999369i	$0.488691\pi$
$878$	−8.83772	−	4.03605i	−0.298259	−	0.136210i
$879$	−14.8387	+	4.35703i	−0.500496	+	0.146959i
$880$	−0.496702	−	3.30584i	−0.0167438	−	0.111440i
$881$	−6.23389	−	7.19429i	−0.210025	−	0.242382i	0.640957	−	0.767577i	$-0.278538\pi$
$881$	−6.23389	−	7.19429i	−0.210025	−	0.242382i	−0.850982	+	0.525195i	$0.823992\pi$
$882$	4.27692	−	0.614928i	0.144011	−	0.0207057i
$883$	−7.52758	+	25.6366i	−0.253323	+	0.862739i	0.730396	+	0.683024i	$0.239336\pi$
$883$	−7.52758	+	25.6366i	−0.253323	+	0.862739i	−0.983719	+	0.179715i	$0.942482\pi$
$884$	−16.4217	+	18.9516i	−0.552321	+	0.637412i
$885$	−64.1425	+	56.2951i	−2.15613	+	1.89234i
$886$	8.00049	+	5.14160i	0.268782	+	0.172735i
$887$	−14.6556	−	12.6992i	−0.492088	−	0.426396i	0.373140	−	0.927775i	$-0.378281\pi$
$887$	−14.6556	−	12.6992i	−0.492088	−	0.426396i	−0.865228	+	0.501379i	$0.832826\pi$
$888$	4.14645	−	14.1215i	0.139146	−	0.473887i
$889$	4.56794	+	31.7707i	0.153204	+	1.06556i
$890$	7.34375	−	3.41016i	0.246163	−	0.114309i
$891$	−3.94666	−	8.64198i	−0.132218	−	0.289517i
$892$	1.54931	+	5.27647i	0.0518747	+	0.176669i
$893$	2.88714	+	1.31851i	0.0966143	+	0.0441223i
$894$	−5.85058	+	40.6917i	−0.195673	+	1.36093i
$895$	−23.7716	+	7.14383i	−0.794596	+	0.238792i
$896$	2.41581			0.0807065
$897$	−50.0121	−	6.18877i	−1.66986	−	0.206637i
$898$		−	15.9870i		−	0.533494i
$899$	−23.4284	+	15.0565i	−0.781380	+	0.502162i
$900$	−11.9772	+	14.1815i	−0.399239	+	0.472717i
$901$	13.6531	−	29.8962i	0.454852	−	0.995986i
$902$	2.14686	+	7.31153i	0.0714826	+	0.243447i
$903$	−28.7314	+	13.1212i	−0.956122	+	0.436646i
$904$	12.4451	+	14.3624i	0.413917	+	0.477685i
$905$	1.53191	−	11.1558i	0.0509223	−	0.370833i
$906$	−26.8147	−	7.87352i	−0.890860	−	0.261580i
$907$	−21.5552	−	18.6777i	−0.715728	−	0.620182i	0.218925	−	0.975742i	$-0.429745\pi$
$907$	−21.5552	−	18.6777i	−0.715728	−	0.620182i	−0.934654	+	0.355559i	$0.884290\pi$
$908$	1.15224	−	1.79293i	0.0382386	−	0.0595004i
$909$	−59.7666	−	38.4097i	−1.98233	−	1.27397i
$910$	−11.9612	−	18.3553i	−0.396511	−	0.608474i
$911$	−33.3300	−	9.78657i	−1.10427	−	0.324244i	−0.321724	−	0.946834i	$-0.604262\pi$
$911$	−33.3300	−	9.78657i	−1.10427	−	0.324244i	−0.782548	+	0.622590i	$0.786080\pi$
$912$	−1.79920	+	0.258685i	−0.0595773	+	0.00856592i
$913$	−3.30110	+	2.86042i	−0.109251	+	0.0946662i
$914$	−0.0281476	−	0.0616347i	−0.000931041	−	0.00203870i
$915$	0.528411	+	83.4179i	0.0174687	+	2.75771i
$916$	7.75619	−	16.9837i	0.256272	−	0.561157i
$917$	−33.2795	−	4.78487i	−1.09899	−	0.158010i
$918$	6.17079	+	9.60193i	0.203666	+	0.316911i
$919$	−13.5686			−0.447586			−0.223793	−	0.974637i	$-0.571844\pi$
$919$	−13.5686			−0.447586			−0.223793	+	0.974637i	$0.571844\pi$
$920$	6.80941	−	8.28444i	0.224500	−	0.273130i
$921$	35.6406			1.17440
$922$	5.55230	+	8.63955i	0.182855	+	0.284528i
$923$	−45.3926	−	6.52648i	−1.49412	−	0.214822i
$924$	3.88715	−	8.51168i	0.127878	−	0.280014i
$925$	7.65621	−	27.3519i	0.251735	−	0.899323i
$926$	13.2035	+	28.9115i	0.433892	+	0.950092i
$927$	13.9471	−	12.0853i	0.458084	−	0.396932i
$928$	6.03662	−	0.867934i	0.198162	−	0.0284913i
$929$	−17.5627	−	5.15687i	−0.576213	−	0.169192i	−0.0193749	−	0.999812i	$-0.506168\pi$
$929$	−17.5627	−	5.15687i	−0.576213	−	0.169192i	−0.556839	+	0.830621i	$0.687986\pi$
$930$	−22.1642	+	14.4433i	−0.726793	+	0.473614i
$931$	0.686930	+	0.441463i	0.0225132	+	0.0144684i
$932$	−6.60712	+	10.2809i	−0.216423	+	0.336761i
$933$	55.1223	+	47.7638i	1.80462	+	1.56372i
$934$	−3.81489	−	1.12015i	−0.124827	−	0.0366525i
$935$	−20.4773	−	2.81192i	−0.669680	−	0.0919596i
$936$	−9.86019	−	11.3793i	−0.322290	−	0.371943i
$937$	−15.8248	+	7.22695i	−0.516974	+	0.236094i	−0.656776	−	0.754085i	$-0.728080\pi$
$937$	−15.8248	+	7.22695i	−0.516974	+	0.236094i	0.139803	+	0.990179i	$0.455353\pi$
$938$	−2.23096	−	7.59795i	−0.0728434	−	0.248082i
$939$	−3.10664	+	6.80260i	−0.101382	+	0.221995i
$940$	−9.22824	−	4.14395i	−0.300992	−	0.135161i
$941$	−0.870322	+	0.559322i	−0.0283717	+	0.0182334i	−0.554750	−	0.832017i	$-0.687186\pi$
$941$	−0.870322	+	0.559322i	−0.0283717	+	0.0182334i	0.526378	+	0.850251i	$0.323550\pi$
$942$			7.93626i			0.258577i
$943$	−12.8086	+	20.8203i	−0.417105	+	0.678003i
$944$	14.7313			0.479461
$945$	−9.55001	+	2.86997i	−0.310662	+	0.0933601i
$946$	1.07370	−	7.46772i	0.0349089	−	0.242797i
$947$	38.1652	+	17.4295i	1.24020	+	0.566381i	0.924030	−	0.382321i	$-0.124875\pi$
$947$	38.1652	+	17.4295i	1.24020	+	0.566381i	0.316172	+	0.948702i	$0.397602\pi$
$948$	1.71739	+	5.84889i	0.0557782	+	0.189963i
$949$	−5.65281	−	12.3779i	−0.183498	−	0.401805i
$950$	−3.46561	+	0.543176i	−0.112439	+	0.0176230i
$951$	−6.22745	−	43.3128i	−0.201939	−	1.40452i
$952$	4.20823	−	14.3319i	0.136389	−	0.464500i
$953$	−17.6476	−	15.2917i	−0.571662	−	0.495348i	0.320387	−	0.947287i	$-0.396187\pi$
$953$	−17.6476	−	15.2917i	−0.571662	−	0.495348i	−0.892049	+	0.451939i	$0.850733\pi$
$954$	16.6014	+	10.6691i	0.537490	+	0.345424i
$955$	10.9396	+	12.4645i	0.353996	+	0.403343i
$956$	0.461860	−	0.533015i	0.0149376	−	0.0172389i
$957$	6.65520	−	22.6655i	0.215132	−	0.732672i
$958$	3.49458	−	0.502445i	0.112905	−	0.0162332i
$959$	−26.7598	−	30.8824i	−0.864118	−	0.997245i
$960$	5.72901	−	0.860782i	0.184903	−	0.0277816i
$961$	9.73652	−	2.85890i	0.314081	−	0.0922226i
$962$	20.9571	+	9.57080i	0.675685	+	0.308575i
$963$	64.4056	+	9.26013i	2.07544	+	0.298404i
$964$	−7.17710	+	4.61244i	−0.231159	+	0.148557i
$965$	8.30157	−	28.9497i	0.267237	−	0.931923i
$966$	28.6292	−	9.02193i	0.921129	−	0.290276i
$967$		−	16.0285i		−	0.515442i	−0.966219	−	0.257721i	$-0.917028\pi$
$967$		−	16.0285i		−	0.515442i	0.966219	−	0.257721i	$-0.0829716\pi$
$968$	−4.73868	−	7.37354i	−0.152307	−	0.236994i
$969$	−1.59945	+	11.1244i	−0.0513818	+	0.357368i
$970$	−17.2446	+	20.1579i	−0.553691	+	0.647232i
$971$	21.5331	−	6.32268i	0.691029	−	0.202904i	0.0826826	−	0.996576i	$-0.473651\pi$
$971$	21.5331	−	6.32268i	0.691029	−	0.202904i	0.608347	+	0.793671i	$0.291833\pi$
$972$	20.0141	−	9.14011i	0.641951	−	0.293169i
$973$	−32.7483	+	28.3765i	−1.04986	+	0.909710i
$974$	0.552358	+	3.84173i	0.0176987	+	0.123097i
$975$	−34.9059	−	39.2672i	−1.11788	−	1.25756i
$976$	9.42952	−	10.8822i	0.301832	−	0.348332i
$977$	−8.22441	+	12.7974i	−0.263122	+	0.409426i	−0.947527	−	0.319676i	$-0.896426\pi$
$977$	−8.22441	+	12.7974i	−0.263122	+	0.409426i	0.684405	+	0.729102i	$0.260062\pi$
$978$	−4.12540	+	6.41925i	−0.131916	+	0.205265i
$979$	−3.54509	+	4.09126i	−0.113302	+	0.130757i
$980$	−2.19823	−	1.39312i	−0.0702200	−	0.0445017i
$981$	7.90100	+	54.9526i	0.252259	+	1.75450i
$982$	−19.8706	+	17.2180i	−0.634096	+	0.549448i
$983$	40.3851	−	18.4433i	1.28809	−	0.588249i	0.350682	−	0.936494i	$-0.385950\pi$
$983$	40.3851	−	18.4433i	1.28809	−	0.588249i	0.937403	+	0.348245i	$0.113222\pi$
$984$	−12.6708	+	3.72050i	−0.403932	+	0.118605i
$985$	−2.55322	−	2.18422i	−0.0813524	−	0.0695949i
$986$	5.36645	−	37.3245i	0.170902	−	1.18865i
$987$	−15.3086	−	23.8207i	−0.487279	−	0.758220i
$988$		−	2.84543i		−	0.0905252i
$989$	20.0986	−	13.4827i	0.639097	−	0.428725i
$990$	3.42101	−	11.9299i	0.108727	−	0.379157i
$991$	30.3739	−	19.5201i	0.964860	−	0.620078i	0.0395211	−	0.999219i	$-0.487417\pi$
$991$	30.3739	−	19.5201i	0.964860	−	0.620078i	0.925339	+	0.379141i	$0.123780\pi$
$992$	4.51997	+	0.649873i	0.143509	+	0.0206335i
$993$	−55.0113	−	25.1228i	−1.74573	−	0.797248i
$994$	26.2098	−	7.69589i	0.831325	−	0.244099i
$995$	0.401853	+	2.67457i	0.0127396	+	0.0847894i
$996$	−4.95710	−	5.72080i	−0.157072	−	0.181271i
$997$	−27.8175	+	3.99955i	−0.880988	+	0.126667i	−0.567939	−	0.823070i	$-0.692259\pi$
$997$	−27.8175	+	3.99955i	−0.880988	+	0.126667i	−0.313048	+	0.949737i	$0.601350\pi$
$998$	5.01461	−	17.0782i	0.158735	−	0.540600i
$999$	6.86717	−	7.92514i	0.217268	−	0.250740i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.219.6	yes	120
5.4	even	2	inner	230.2.j.a.219.7	yes	120
23.2	even	11	inner	230.2.j.a.209.7	yes	120
115.94	even	22	inner	230.2.j.a.209.6	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.209.6	✓	120	115.94	even	22	inner
230.2.j.a.209.7	yes	120	23.2	even	11	inner
230.2.j.a.219.6	yes	120	1.1	even	1	trivial
230.2.j.a.219.7	yes	120	5.4	even	2	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 - 0.841254i) q^{2} +(2.56448 + 0.368717i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(2.23602 - 0.0141641i) q^{5} +(-1.07628 - 2.35672i) q^{6} +(-1.82575 + 1.58202i) q^{7} +(0.989821 - 0.142315i) q^{8} +(3.56212 + 1.04593i) q^{9} +O(q^{10})\)	\(q+(-0.540641 - 0.841254i) q^{2} +(2.56448 + 0.368717i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(2.23602 - 0.0141641i) q^{5} +(-1.07628 - 2.35672i) q^{6} +(-1.82575 + 1.58202i) q^{7} +(0.989821 - 0.142315i) q^{8} +(3.56212 + 1.04593i) q^{9} +(-1.22080 - 1.87340i) q^{10} +(1.25768 + 0.808265i) q^{11} +(-1.40072 + 2.17956i) q^{12} +(-3.06511 - 2.65594i) q^{13} +(2.31795 + 0.680612i) q^{14} +(5.73946 + 0.788135i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-5.62426 + 2.56851i) q^{17} +(-1.04593 - 3.56212i) q^{18} +(0.291448 - 0.638182i) q^{19} +(-0.915993 + 2.03984i) q^{20} +(-5.26540 + 3.38387i) q^{21} -1.49501i q^{22} +(3.56194 - 3.21132i) q^{23} +2.59085 q^{24} +(4.99960 - 0.0633425i) q^{25} +(-0.577190 + 4.01445i) q^{26} +(1.67918 + 0.766856i) q^{27} +(-0.680612 - 2.31795i) q^{28} +(-2.53349 - 5.54757i) q^{29} +(-2.43996 - 5.25444i) q^{30} +(-0.649873 - 4.51997i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(2.92729 + 2.53651i) q^{33} +(5.20148 + 3.34279i) q^{34} +(-4.06000 + 3.56329i) q^{35} +(-2.43118 + 2.80573i) q^{36} +(1.60042 - 5.45053i) q^{37} +(-0.694442 + 0.0998457i) q^{38} +(-6.88114 - 7.94125i) q^{39} +(2.21125 - 0.332239i) q^{40} +(-4.89061 + 1.43601i) q^{41} +(5.69338 + 2.60008i) q^{42} +(4.99509 + 0.718186i) q^{43} +(-1.25768 + 0.808265i) q^{44} +(7.97981 + 2.28828i) q^{45} +(-4.62726 - 1.26033i) q^{46} +4.52400i q^{47} +(-1.40072 - 2.17956i) q^{48} +(-0.165637 + 1.15203i) q^{49} +(-2.75627 - 4.17168i) q^{50} +(-15.3704 + 4.51315i) q^{51} +(3.68922 - 1.68481i) q^{52} +(-4.01724 + 3.48096i) q^{53} +(-0.262713 - 1.82721i) q^{54} +(2.82366 + 1.78948i) q^{55} +(-1.58202 + 1.82575i) q^{56} +(0.982721 - 1.52914i) q^{57} +(-3.29720 + 5.13055i) q^{58} +(-9.64692 + 11.1331i) q^{59} +(-3.10117 + 4.89339i) q^{60} +(2.04923 + 14.2527i) q^{61} +(-3.45109 + 2.99039i) q^{62} +(-8.15822 + 3.72573i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-6.89129 - 5.89532i) q^{65} +(0.551236 - 3.83393i) q^{66} +(-1.77215 - 2.75752i) q^{67} -6.18301i q^{68} +(10.3186 - 6.92201i) q^{69} +(5.19263 + 1.48903i) q^{70} +(9.51232 - 6.11320i) q^{71} +(3.67472 + 0.528345i) q^{72} +(3.05196 + 1.39378i) q^{73} +(-5.45053 + 1.60042i) q^{74} +(12.8447 + 1.68099i) q^{75} +(0.459439 + 0.530221i) q^{76} +(-3.57490 + 0.513993i) q^{77} +(-2.96039 + 10.0821i) q^{78} +(1.54077 - 1.77814i) q^{79} +(-1.47499 - 1.68060i) q^{80} +(-5.34601 - 3.43567i) q^{81} +(3.85212 + 3.33788i) q^{82} +(-0.823140 + 2.80336i) q^{83} +(-0.890748 - 6.19529i) q^{84} +(-12.5396 + 5.82292i) q^{85} +(-2.09637 - 4.59042i) q^{86} +(-4.45160 - 15.1608i) q^{87} +(1.35991 + 0.621051i) q^{88} +(-0.515328 + 3.58419i) q^{89} +(-2.38919 - 7.95018i) q^{90} +9.79786 q^{91} +(1.44143 + 4.57409i) q^{92} -11.8310i q^{93} +(3.80583 - 2.44586i) q^{94} +(0.642645 - 1.43112i) q^{95} +(-1.07628 + 2.35672i) q^{96} +(-3.34235 - 11.3830i) q^{97} +(1.05870 - 0.483491i) q^{98} +(3.63464 + 4.19460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more