LMFDB - Embedded newform 230.2.j.a.179.1

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			179.1
Character	$\chi$	$=$	230.179
Dual form			230.2.j.a.9.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(-1.95972 - 1.69811i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.0903172 + 2.23424i) q^{5} +(2.18144 - 1.40193i) q^{6} +(0.748675 - 0.341908i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.529991 + 3.68617i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.95972 - 1.69811i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.0903172 + 2.23424i) q^{5} +(2.18144 - 1.40193i) q^{6} +(0.748675 - 0.341908i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.529991 + 3.68617i) q^{9} +(-2.11830 - 0.716118i) q^{10} +(4.65913 - 1.36805i) q^{11} +(0.730556 + 2.48804i) q^{12} +(1.40114 + 0.639880i) q^{13} +(0.117133 + 0.814675i) q^{14} +(3.97098 - 4.22513i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.11270 + 3.28743i) q^{17} +(-3.68617 - 0.529991i) q^{18} +(4.15438 + 2.66986i) q^{19} +(1.28390 - 1.83074i) q^{20} +(-2.04779 - 0.601286i) q^{21} +4.85583i q^{22} +(4.76216 + 0.567295i) q^{23} -2.59308 q^{24} +(-4.98369 - 0.403581i) q^{25} +(-1.00871 + 1.16411i) q^{26} +(1.01510 - 1.57953i) q^{27} +(-0.814675 - 0.117133i) q^{28} +(3.23027 - 2.07597i) q^{29} +(2.93522 + 5.00049i) q^{30} +(-5.44700 - 6.28618i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-11.4537 - 5.23073i) q^{33} +(-3.74949 + 1.10095i) q^{34} +(0.696288 + 1.70360i) q^{35} +(1.54704 - 3.38754i) q^{36} +(-4.74986 + 0.682927i) q^{37} +(-3.73214 + 3.23391i) q^{38} +(-1.65926 - 3.63328i) q^{39} +(1.39486 + 1.74767i) q^{40} +(0.536960 - 3.73464i) q^{41} +(1.15386 - 1.79544i) q^{42} +(0.999683 + 0.866230i) q^{43} +(-4.65913 - 1.36805i) q^{44} +(-8.28367 + 0.851205i) q^{45} +(-1.88597 + 4.40943i) q^{46} +6.16285i q^{47} +(0.730556 - 2.48804i) q^{48} +(-4.14041 + 4.77829i) q^{49} +(1.79130 - 4.66811i) q^{50} +(1.44210 - 10.0301i) q^{51} +(-0.832770 - 1.29582i) q^{52} +(5.78267 - 2.64086i) q^{53} +(1.22956 + 1.41899i) q^{54} +(2.63575 + 10.5332i) q^{55} +(0.341908 - 0.748675i) q^{56} +(-3.60772 - 12.2868i) q^{57} +(1.08181 + 3.68429i) q^{58} +(0.542072 - 1.18697i) q^{59} +(-5.62488 + 1.40753i) q^{60} +(8.65101 + 9.98380i) q^{61} +(7.56614 - 3.45534i) q^{62} +(1.65712 + 2.57853i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-1.55619 + 3.07270i) q^{65} +(8.24572 - 9.51607i) q^{66} +(4.59599 - 15.6525i) q^{67} -3.90778i q^{68} +(-8.36918 - 9.19840i) q^{69} +(-1.83076 + 0.188123i) q^{70} +(-9.62477 - 2.82609i) q^{71} +(2.81447 + 2.43875i) q^{72} +(-3.34358 + 5.20271i) q^{73} +(0.682927 - 4.74986i) q^{74} +(9.08131 + 9.25374i) q^{75} +(-2.05145 - 4.49206i) q^{76} +(3.02043 - 2.61722i) q^{77} +(3.95357 - 0.568438i) q^{78} +(-2.95556 + 6.47177i) q^{79} +(-2.06986 + 0.845983i) q^{80} +(6.04814 - 1.77590i) q^{81} +(3.43208 + 1.56738i) q^{82} +(11.8009 - 1.69671i) q^{83} +(1.39763 + 1.61295i) q^{84} +(-7.53574 + 4.42338i) q^{85} +(-1.11278 + 0.715143i) q^{86} +(-9.85565 - 1.41703i) q^{87} +(2.62526 - 4.08498i) q^{88} +(3.58733 - 4.14000i) q^{89} +(1.51705 - 8.18794i) q^{90} +1.26778 q^{91} +(-3.69948 - 3.05186i) q^{92} +21.5688i q^{93} +(-5.91321 - 1.73627i) q^{94} +(-6.34033 + 9.04077i) q^{95} +(2.18144 + 1.40193i) q^{96} +(-11.2508 - 1.61762i) q^{97} +(-3.41825 - 5.31890i) q^{98} +(7.51215 + 16.4493i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$

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 $

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	−1.95972	−	1.69811i	−1.13145	−	0.980403i	−0.131505	−	0.991316i	$-0.541981\pi$
$3$	−1.95972	−	1.69811i	−1.13145	−	0.980403i	−0.999940	+	0.0109124i	$0.996526\pi$
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	−0.0903172	+	2.23424i	−0.0403911	+	0.999184i
$5$	−0.0903172	+	2.23424i	−0.0403911	+	0.999184i
$6$	2.18144	−	1.40193i	0.890569	−	0.572334i
$7$	0.748675	−	0.341908i	0.282972	−	0.129229i	−0.268873	−	0.963176i	$-0.586651\pi$
$7$	0.748675	−	0.341908i	0.282972	−	0.129229i	0.551845	+	0.833946i	$0.313924\pi$
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	0.529991	+	3.68617i	0.176664	+	1.22872i
$10$	−2.11830	−	0.716118i	−0.669864	−	0.226456i
$11$	4.65913	−	1.36805i	1.40478	−	0.412481i	0.510458	−	0.859902i	$-0.329476\pi$
$11$	4.65913	−	1.36805i	1.40478	−	0.412481i	0.894323	+	0.447421i	$0.147658\pi$
$12$	0.730556	+	2.48804i	0.210893	+	0.718237i
$13$	1.40114	+	0.639880i	0.388607	+	0.177471i	0.600131	−	0.799902i	$-0.295115\pi$
$13$	1.40114	+	0.639880i	0.388607	+	0.177471i	−0.211524	+	0.977373i	$0.567843\pi$
$14$	0.117133	+	0.814675i	0.0313050	+	0.217731i
$15$	3.97098	−	4.22513i	1.02530	−	1.09092i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	2.11270	+	3.28743i	0.512406	+	0.797320i	0.996999	−	0.0774206i	$-0.0246684\pi$
$17$	2.11270	+	3.28743i	0.512406	+	0.797320i	−0.484592	+	0.874740i	$0.661032\pi$
$18$	−3.68617	−	0.529991i	−0.868839	−	0.124920i
$19$	4.15438	+	2.66986i	0.953081	+	0.612508i	0.922075	−	0.387011i	$-0.126493\pi$
$19$	4.15438	+	2.66986i	0.953081	+	0.612508i	0.0310058	+	0.999519i	$0.490129\pi$
$20$	1.28390	−	1.83074i	0.287089	−	0.409365i
$21$	−2.04779	−	0.601286i	−0.446865	−	0.131211i
$22$			4.85583i			1.03527i
$23$	4.76216	+	0.567295i	0.992979	+	0.118289i
$23$	4.76216	+	0.567295i	0.992979	+	0.118289i
$24$	−2.59308			−0.529311
$25$	−4.98369	−	0.403581i	−0.996737	−	0.0807162i
$26$	−1.00871	+	1.16411i	−0.197824	+	0.228301i
$27$	1.01510	−	1.57953i	0.195357	−	0.303981i
$28$	−0.814675	−	0.117133i	−0.153959	−	0.0221360i
$29$	3.23027	−	2.07597i	0.599846	−	0.385498i	−0.205191	−	0.978722i	$-0.565782\pi$
$29$	3.23027	−	2.07597i	0.599846	−	0.385498i	0.805037	+	0.593224i	$0.202145\pi$
$30$	2.93522	+	5.00049i	0.535896	+	0.912960i
$31$	−5.44700	−	6.28618i	−0.978311	−	1.12903i	−0.991629	−	0.129120i	$-0.958785\pi$
$31$	−5.44700	−	6.28618i	−0.978311	−	1.12903i	0.0133182	−	0.999911i	$-0.495761\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	−11.4537	−	5.23073i	−1.99383	−	0.910552i
$34$	−3.74949	+	1.10095i	−0.643032	+	0.188811i
$35$	0.696288	+	1.70360i	0.117694	+	0.287961i
$36$	1.54704	−	3.38754i	0.257840	−	0.564590i
$37$	−4.74986	+	0.682927i	−0.780873	+	0.112273i	−0.521212	−	0.853427i	$-0.674520\pi$
$37$	−4.74986	+	0.682927i	−0.780873	+	0.112273i	−0.259661	+	0.965700i	$0.583611\pi$
$38$	−3.73214	+	3.23391i	−0.605432	+	0.524610i
$39$	−1.65926	−	3.63328i	−0.265695	−	0.581790i
$40$	1.39486	+	1.74767i	0.220547	+	0.276331i
$41$	0.536960	−	3.73464i	0.0838590	−	0.583252i	−0.903957	−	0.427624i	$-0.859351\pi$
$41$	0.536960	−	3.73464i	0.0838590	−	0.583252i	0.987816	−	0.155628i	$-0.0497402\pi$
$42$	1.15386	−	1.79544i	0.178044	−	0.277042i
$43$	0.999683	+	0.866230i	0.152450	+	0.132099i	0.727746	−	0.685846i	$-0.240568\pi$
$43$	0.999683	+	0.866230i	0.152450	+	0.132099i	−0.575296	+	0.817945i	$0.695113\pi$
$44$	−4.65913	−	1.36805i	−0.702391	−	0.206241i
$45$	−8.28367	+	0.851205i	−1.23486	+	0.126890i
$46$	−1.88597	+	4.40943i	−0.278071	+	0.650136i
$47$			6.16285i			0.898944i	0.893295	+	0.449472i	$0.148388\pi$
$47$			6.16285i			0.898944i	−0.893295	+	0.449472i	$0.851612\pi$
$48$	0.730556	−	2.48804i	0.105447	−	0.359118i
$49$	−4.14041	+	4.77829i	−0.591488	+	0.682613i
$50$	1.79130	−	4.66811i	0.253328	−	0.660170i
$51$	1.44210	−	10.0301i	0.201935	−	1.40449i
$52$	−0.832770	−	1.29582i	−0.115484	−	0.179697i
$53$	5.78267	−	2.64086i	0.794311	−	0.362750i	0.0234273	−	0.999726i	$-0.492542\pi$
$53$	5.78267	−	2.64086i	0.794311	−	0.362750i	0.770884	+	0.636976i	$0.219815\pi$
$54$	1.22956	+	1.41899i	0.167322	+	0.193100i
$55$	2.63575	+	10.5332i	0.355404	+	1.42030i
$56$	0.341908	−	0.748675i	0.0456894	−	0.100046i
$57$	−3.60772	−	12.2868i	−0.477854	−	1.62742i
$58$	1.08181	+	3.68429i	0.142048	+	0.483771i
$59$	0.542072	−	1.18697i	0.0705718	−	0.154531i	−0.871059	−	0.491179i	$-0.836566\pi$
$59$	0.542072	−	1.18697i	0.0705718	−	0.154531i	0.941630	+	0.336648i	$0.109293\pi$
$60$	−5.62488	+	1.40753i	−0.726169	+	0.181711i
$61$	8.65101	+	9.98380i	1.10765	+	1.27829i	0.957121	+	0.289688i	$0.0935517\pi$
$61$	8.65101	+	9.98380i	1.10765	+	1.27829i	0.150527	+	0.988606i	$0.451903\pi$
$62$	7.56614	−	3.45534i	0.960901	−	0.438829i
$63$	1.65712	+	2.57853i	0.208778	+	0.324865i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	−1.55619	+	3.07270i	−0.193022	+	0.381122i
$66$	8.24572	−	9.51607i	1.01498	−	1.17135i
$67$	4.59599	−	15.6525i	0.561490	−	1.91226i	0.200480	−	0.979698i	$-0.435750\pi$
$67$	4.59599	−	15.6525i	0.561490	−	1.91226i	0.361010	−	0.932562i	$-0.382432\pi$
$68$		−	3.90778i		−	0.473888i
$69$	−8.36918	−	9.19840i	−1.00753	−	1.10736i
$70$	−1.83076	+	0.188123i	−0.218818	+	0.0224851i
$71$	−9.62477	−	2.82609i	−1.14225	−	0.335395i	−0.344739	−	0.938699i	$-0.612032\pi$
$71$	−9.62477	−	2.82609i	−1.14225	−	0.335395i	−0.797511	+	0.603304i	$0.793851\pi$
$72$	2.81447	+	2.43875i	0.331688	+	0.287410i
$73$	−3.34358	+	5.20271i	−0.391336	+	0.608931i	−0.979893	−	0.199525i	$-0.936060\pi$
$73$	−3.34358	+	5.20271i	−0.391336	+	0.608931i	0.588556	+	0.808456i	$0.299697\pi$
$74$	0.682927	−	4.74986i	0.0793887	−	0.552160i
$75$	9.08131	+	9.25374i	1.04862	+	1.06853i
$76$	−2.05145	−	4.49206i	−0.235318	−	0.515274i
$77$	3.02043	−	2.61722i	0.344210	−	0.298260i
$78$	3.95357	−	0.568438i	0.447654	−	0.0643629i
$79$	−2.95556	+	6.47177i	−0.332526	+	0.728131i	−0.999862	−	0.0166262i	$-0.994707\pi$
$79$	−2.95556	+	6.47177i	−0.332526	+	0.728131i	0.667335	+	0.744757i	$0.267435\pi$
$80$	−2.06986	+	0.845983i	−0.231417	+	0.0945838i
$81$	6.04814	−	1.77590i	0.672016	−	0.197322i
$82$	3.43208	+	1.56738i	0.379010	+	0.173088i
$83$	11.8009	−	1.69671i	1.29531	−	0.186238i	0.540035	−	0.841643i	$-0.318411\pi$
$83$	11.8009	−	1.69671i	1.29531	−	0.186238i	0.755278	+	0.655405i	$0.227502\pi$
$84$	1.39763	+	1.61295i	0.152494	+	0.175988i
$85$	−7.53574	+	4.42338i	−0.817366	+	0.479783i
$86$	−1.11278	+	0.715143i	−0.119995	+	0.0771159i
$87$	−9.85565	−	1.41703i	−1.05664	−	0.151921i
$88$	2.62526	−	4.08498i	0.279854	−	0.435461i
$89$	3.58733	−	4.14000i	0.380256	−	0.438839i	−0.533068	−	0.846072i	$-0.678961\pi$
$89$	3.58733	−	4.14000i	0.380256	−	0.438839i	0.913324	+	0.407234i	$0.133506\pi$
$90$	1.51705	−	8.18794i	0.159912	−	0.863084i
$91$	1.26778			0.132899
$92$	−3.69948	−	3.05186i	−0.385698	−	0.318178i
$93$			21.5688i			2.23658i
$94$	−5.91321	−	1.73627i	−0.609901	−	0.179083i
$95$	−6.34033	+	9.04077i	−0.650504	+	0.927563i
$96$	2.18144	+	1.40193i	0.222642	+	0.143084i
$97$	−11.2508	−	1.61762i	−1.14235	−	0.164245i	−0.454943	−	0.890520i	$-0.650340\pi$
$97$	−11.2508	−	1.61762i	−1.14235	−	0.164245i	−0.687403	+	0.726276i	$0.741250\pi$
$98$	−3.41825	−	5.31890i	−0.345295	−	0.537290i
$99$	7.51215	+	16.4493i	0.755000	+	1.65322i
$100$	3.97435	+	3.03390i	0.397435	+	0.303390i
$101$	1.24825	+	8.68177i	0.124206	+	0.863868i	0.952709	+	0.303884i	$0.0982837\pi$
$101$	1.24825	+	8.68177i	0.124206	+	0.863868i	−0.828503	+	0.559984i	$0.810807\pi$
$102$	9.21748	+	4.20948i	0.912666	+	0.416801i
$103$	−0.711708	−	2.42386i	−0.0701267	−	0.238830i	0.916970	−	0.398957i	$-0.130628\pi$
$103$	−0.711708	−	2.42386i	−0.0701267	−	0.238830i	−0.987096	+	0.160127i	$0.948810\pi$
$104$	1.47794	−	0.433964i	0.144924	−	0.0425536i
$105$	1.52837	−	4.52096i	0.149154	−	0.441200i
$106$	0.904718	+	6.29245i	0.0878739	+	0.611177i
$107$	−10.6370	+	9.21698i	−1.02831	+	0.891039i	−0.994110	−	0.108376i	$-0.965435\pi$
$107$	−10.6370	+	9.21698i	−1.02831	+	0.891039i	−0.0342037	+	0.999415i	$0.510889\pi$
$108$	−1.70792	+	0.779980i	−0.164345	+	0.0750536i
$109$	−0.000631598	0	0.000405903i	−6.04961e−5	0	3.88785e-5i	−0.540671	−	0.841234i	$-0.681830\pi$
$109$	−0.000631598	0	0.000405903i	−6.04961e−5	0	3.88785e-5i	0.540611	+	0.841273i	$0.318193\pi$
$110$	−10.8491	−	0.438565i	−1.03442	−	0.0418155i
$111$	10.4681	+	6.72743i	0.993587	+	0.638540i
$112$	0.622021	+	0.538985i	0.0587755	+	0.0509293i
$113$	−1.28201	+	4.36614i	−0.120602	+	0.410732i	−0.997558	−	0.0698376i	$-0.977752\pi$
$113$	−1.28201	+	4.36614i	−0.120602	+	0.410732i	0.876957	+	0.480570i	$0.159570\pi$
$114$	12.8055			1.19934
$115$	−1.69758	+	10.5886i	−0.158300	+	0.987391i
$116$	−3.83983			−0.356519
$117$	−1.61611	+	5.50398i	−0.149410	+	0.508843i
$118$	0.986172	+	0.854523i	0.0907845	+	0.0786652i
$119$	2.70573	+	1.73887i	0.248034	+	0.159402i
$120$	0.234200	−	5.79358i	0.0213794	−	0.528879i
$121$	10.5822	−	6.80076i	0.962018	−	0.618251i
$122$	−12.0167	+	5.48782i	−1.08794	+	0.496844i
$123$	−7.39411	+	6.40703i	−0.666704	+	0.577702i
$124$	1.18375	+	8.23314i	0.106304	+	0.739358i
$125$	1.35181	−	11.0983i	0.120910	−	0.992664i
$126$	−2.94095	+	0.863541i	−0.262001	+	0.0769304i
$127$	−5.13644	−	17.4931i	−0.455785	−	1.55226i	−0.792027	−	0.610487i	$-0.790974\pi$
$127$	−5.13644	−	17.4931i	−0.455785	−	1.55226i	0.336241	−	0.941776i	$-0.390844\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−0.488147	−	3.39514i	−0.0429790	−	0.298925i
$130$	−2.50980	−	2.35884i	−0.220124	−	0.206884i
$131$	−8.14822	−	17.8421i	−0.711914	−	1.55887i	−0.824901	−	0.565277i	$-0.808769\pi$
$131$	−8.14822	−	17.8421i	−0.711914	−	1.55887i	0.112988	−	0.993596i	$-0.463958\pi$
$132$	6.80751	+	10.5927i	0.592518	+	0.921976i
$133$	4.02313	+	0.578438i	0.348849	+	0.0501570i
$134$	13.7236	+	8.81965i	1.18554	+	0.761902i
$135$	3.43738	+	2.41065i	0.295842	+	0.207475i
$136$	3.74949	+	1.10095i	0.321516	+	0.0944056i
$137$		−	17.6600i		−	1.50880i	−0.656416	−	0.754399i	$-0.727928\pi$
$137$		−	17.6600i		−	1.50880i	0.656416	−	0.754399i	$-0.272072\pi$
$138$	11.1837	−	5.43868i	0.952018	−	0.462971i
$139$	0.370257			0.0314048			0.0157024	−	0.999877i	$-0.495002\pi$
$139$	0.370257			0.0314048			0.0157024	+	0.999877i	$0.495002\pi$
$140$	0.335282	−	1.80960i	0.0283365	−	0.152939i
$141$	10.4652	−	12.0775i	0.881327	−	1.01711i
$142$	5.42322	−	8.43870i	0.455107	−	0.708160i
$143$	7.40349	+	1.06446i	0.619111	+	0.0890148i
$144$	−3.13289	+	2.01339i	−0.261074	+	0.167782i
$145$	4.34647	+	7.40471i	0.360955	+	0.614927i
$146$	−4.04997	−	4.67392i	−0.335178	−	0.386816i
$147$	16.2281	−	2.33325i	1.33847	−	0.192443i
$148$	4.36506	+	1.99345i	0.358805	+	0.163861i
$149$	−0.922676	+	0.270922i	−0.0755886	+	0.0221948i	−0.319308	−	0.947651i	$-0.603451\pi$
$149$	−0.922676	+	0.270922i	−0.0755886	+	0.0221948i	0.243720	+	0.969846i	$0.421632\pi$
$150$	−11.4374	+	6.10637i	−0.933860	+	0.498583i
$151$	−8.48941	+	18.5892i	−0.690859	+	1.51277i	0.159855	+	0.987140i	$0.448897\pi$
$151$	−8.48941	+	18.5892i	−0.690859	+	1.51277i	−0.850714	+	0.525629i	$0.823830\pi$
$152$	4.88806	−	0.702797i	0.396474	−	0.0570043i
$153$	−10.9983	+	9.53010i	−0.889162	+	0.770463i
$154$	1.66025	+	3.63544i	0.133787	+	0.292952i
$155$	14.5368	−	11.6022i	1.16762	−	0.931910i
$156$	−0.568438	+	3.95357i	−0.0455114	+	0.316539i
$157$	−10.4562	+	16.2702i	−0.834498	+	1.29850i	0.117708	+	0.993048i	$0.462445\pi$
$157$	−10.4562	+	16.2702i	−0.834498	+	1.29850i	−0.952206	+	0.305457i	$0.901191\pi$
$158$	−5.37694	−	4.65915i	−0.427766	−	0.370662i
$159$	−15.8169	−	4.64426i	−1.25436	−	0.368314i
$160$	−0.228568	−	2.22436i	−0.0180699	−	0.175851i
$161$	3.75927	−	1.20350i	0.296272	−	0.0948493i
$162$			6.30348i			0.495248i
$163$	5.64839	−	19.2366i	0.442416	−	1.50673i	−0.372987	−	0.927837i	$-0.621666\pi$
$163$	5.64839	−	19.2366i	0.442416	−	1.50673i	0.815403	−	0.578894i	$-0.196515\pi$
$164$	−2.47082	+	2.85147i	−0.192938	+	0.222663i
$165$	12.7212	−	25.1179i	0.990342	−	1.95543i
$166$	−1.69671	+	11.8009i	−0.131690	+	0.915924i
$167$	6.42298	+	9.99436i	0.497025	+	0.773387i	0.995624	−	0.0934462i	$-0.0297883\pi$
$167$	6.42298	+	9.99436i	0.497025	+	0.773387i	−0.498599	+	0.866833i	$0.666152\pi$
$168$	−1.94138	+	0.886596i	−0.149780	+	0.0684024i
$169$	−6.95944	−	8.03162i	−0.535341	−	0.617817i
$170$	−2.12114	−	8.47670i	−0.162684	−	0.650133i
$171$	−7.63977	+	16.7288i	−0.584228	+	1.27928i
$172$	−0.372667	−	1.26919i	−0.0284156	−	0.0967747i
$173$	1.47201	+	5.01320i	0.111915	+	0.381147i	0.996334	−	0.0855462i	$-0.0272635\pi$
$173$	1.47201	+	5.01320i	0.111915	+	0.381147i	−0.884419	+	0.466693i	$0.845445\pi$
$174$	4.13629	−	9.05720i	0.313571	−	0.686625i
$175$	−3.86915	+	1.40181i	−0.292480	+	0.105967i
$176$	3.17989	+	3.66979i	0.239693	+	0.276621i
$177$	−3.07792	+	1.40564i	−0.231350	+	0.105654i
$178$	2.96163	+	4.60839i	0.221984	+	0.345413i
$179$	−0.489136	+	3.40201i	−0.0365597	+	0.254278i	−0.999902	−	0.0139968i	$-0.995545\pi$
$179$	−0.489136	+	3.40201i	−0.0365597	+	0.254278i	0.963342	+	0.268275i	$0.0864536\pi$
$180$	7.42886	+	3.76241i	0.553715	+	0.280434i
$181$	−2.33877	+	2.69908i	−0.173839	+	0.200621i	−0.835983	−	0.548756i	$-0.815102\pi$
$181$	−2.33877	+	2.69908i	−0.173839	+	0.200621i	0.662143	+	0.749377i	$0.269647\pi$
$182$	−0.357175	+	1.21643i	−0.0264756	+	0.0901675i
$183$		−	34.2558i		−	2.53226i
$184$	3.97050	−	2.68982i	0.292709	−	0.198296i
$185$	−1.09683	−	10.6740i	−0.0806406	−	0.784770i
$186$	−20.6951	−	6.07662i	−1.51744	−	0.445559i
$187$	14.3407	+	12.4263i	1.04870	+	0.908702i
$188$	3.33189	−	5.18452i	0.243003	−	0.378120i
$189$	0.219927	−	1.52963i	0.0159974	−	0.111264i
$190$	−6.88828	−	8.63058i	−0.499728	−	0.626128i
$191$	−2.15349	−	4.71548i	−0.155821	−	0.341200i	0.815580	−	0.578644i	$-0.196418\pi$
$191$	−2.15349	−	4.71548i	−0.155821	−	0.341200i	−0.971401	+	0.237444i	$0.923691\pi$
$192$	−1.95972	+	1.69811i	−0.141431	+	0.122550i
$193$	16.4760	−	2.36889i	1.18597	−	0.170516i	0.479033	−	0.877797i	$-0.340987\pi$
$193$	16.4760	−	2.36889i	1.18597	−	0.170516i	0.706933	+	0.707281i	$0.250078\pi$
$194$	4.72182	−	10.3393i	0.339007	−	0.742321i
$195$	8.26748	−	3.37905i	0.592047	−	0.241979i
$196$	6.06648	−	1.78128i	0.433320	−	0.127234i
$197$	0.639181	+	0.291904i	0.0455398	+	0.0207973i	0.438055	−	0.898948i	$-0.355668\pi$
$197$	0.639181	+	0.291904i	0.0455398	+	0.0207973i	−0.392515	+	0.919746i	$0.628395\pi$
$198$	−17.8994	+	2.57355i	−1.27206	+	0.182894i
$199$	−16.5808	−	19.1353i	−1.17538	−	1.35646i	−0.921097	−	0.389333i	$-0.872706\pi$
$199$	−16.5808	−	19.1353i	−1.17538	−	1.35646i	−0.254284	−	0.967130i	$-0.581840\pi$
$200$	−4.03071	+	2.95861i	−0.285014	+	0.209206i
$201$	−35.5865	+	22.8701i	−2.51008	+	1.61313i
$202$	−8.68177	−	1.24825i	−0.610847	−	0.0878266i
$203$	1.70863	−	2.65868i	0.119922	−	0.186603i
$204$	−6.63583	+	7.65816i	−0.464601	+	0.536178i
$205$	8.29559	+	1.53700i	0.579389	+	0.107349i
$206$	2.52618			0.176008
$207$	0.432758	+	17.8548i	0.0300788	+	1.24099i
$208$			1.54034i			0.106803i
$209$	23.0083	+	6.75585i	1.59152	+	0.467312i
$210$	3.90723	+	2.74016i	0.269625	+	0.189089i
$211$	−3.12062	−	2.00550i	−0.214832	−	0.138064i	0.428799	−	0.903400i	$-0.358937\pi$
$211$	−3.12062	−	2.00550i	−0.214832	−	0.138064i	−0.643632	+	0.765335i	$0.722573\pi$
$212$	−6.29245	−	0.904718i	−0.432167	−	0.0621363i
$213$	14.0629	+	21.8822i	0.963571	+	1.49935i
$214$	−5.84685	−	12.8028i	−0.399682	−	0.875182i
$215$	−2.02566	+	2.15530i	−0.138149	+	0.146990i
$216$	−0.267209	−	1.85848i	−0.0181813	−	0.126454i
$217$	−6.22733	−	2.84393i	−0.422739	−	0.193058i
$218$	−0.000211520	0	0.000720370i	−1.43259e−5	0	4.87896e-5i
$219$	15.3873	−	4.51811i	1.03977	−	0.305305i
$220$	3.47735	−	10.2861i	0.234443	−	0.693487i
$221$	0.856636	+	5.95804i	0.0576236	+	0.400781i
$222$	−9.40413	+	8.14872i	−0.631164	+	0.546906i
$223$	−14.6384	+	6.68515i	−0.980262	+	0.447670i	−0.840084	−	0.542456i	$-0.817495\pi$
$223$	−14.6384	+	6.68515i	−0.980262	+	0.447670i	−0.140177	+	0.990126i	$0.544767\pi$
$224$	−0.692396	+	0.444976i	−0.0462626	+	0.0297312i
$225$	−1.15364	−	18.5846i	−0.0769095	−	1.23897i
$226$	−3.82810	−	2.46017i	−0.254641	−	0.163648i
$227$	−2.71777	−	2.35496i	−0.180385	−	0.156304i	0.559988	−	0.828501i	$-0.310806\pi$
$227$	−2.71777	−	2.35496i	−0.180385	−	0.156304i	−0.740373	+	0.672196i	$0.765351\pi$
$228$	−3.60772	+	12.2868i	−0.238927	+	0.813711i
$229$	−16.9260			−1.11850			−0.559251	−	0.828998i	$-0.688911\pi$
$229$	−16.9260			−1.11850			−0.559251	+	0.828998i	$0.688911\pi$
$230$	−9.68141	−	4.61197i	−0.638374	−	0.304104i
$231$	−10.3635			−0.681869
$232$	1.08181	−	3.68429i	0.0710240	−	0.241885i
$233$	−17.4851	−	15.1509i	−1.14548	−	0.992568i	−0.999995	−	0.00320806i	$-0.998979\pi$
$233$	−17.4851	−	15.1509i	−1.14548	−	0.992568i	−0.145490	−	0.989360i	$-0.546476\pi$
$234$	−4.82572	−	3.10130i	−0.315467	−	0.202738i
$235$	−13.7693	−	0.556611i	−0.898210	−	0.0363093i
$236$	−1.09775	+	0.705478i	−0.0714572	+	0.0459227i
$237$	16.7818	−	7.66401i	1.09010	−	0.497831i
$238$	−2.43072	+	2.10623i	−0.157560	+	0.136527i
$239$	1.86242	+	12.9534i	0.120470	+	0.837888i	0.957025	+	0.290005i	$0.0936570\pi$
$239$	1.86242	+	12.9534i	0.120470	+	0.837888i	−0.836555	+	0.547883i	$0.815434\pi$
$240$	5.49291	+	1.85695i	0.354566	+	0.119866i
$241$	0.584949	−	0.171757i	0.0376799	−	0.0110638i	−0.262838	−	0.964840i	$-0.584659\pi$
$241$	0.584949	−	0.171757i	0.0376799	−	0.0110638i	0.300518	+	0.953776i	$0.402840\pi$
$242$	3.54394	+	12.0695i	0.227813	+	0.775859i
$243$	−19.9921	−	9.13008i	−1.28249	−	0.585695i
$244$	−1.88004	−	13.0760i	−0.120357	−	0.837105i
$245$	−10.3019	−	9.68225i	−0.658165	−	0.618576i
$246$	−4.06434	−	8.89966i	−0.259133	−	0.567422i
$247$	4.11249	+	6.39916i	0.261671	+	0.407169i
$248$	−8.23314	−	1.18375i	−0.522805	−	0.0751680i
$249$	−26.0076	−	16.7141i	−1.64816	−	1.05921i
$250$	10.2679	+	4.42381i	0.649399	+	0.279786i
$251$	−10.6634	−	3.13106i	−0.673068	−	0.197630i	−0.0726991	−	0.997354i	$-0.523161\pi$
$251$	−10.6634	−	3.13106i	−0.673068	−	0.197630i	−0.600369	+	0.799723i	$0.704979\pi$
$252$		−	3.06511i		−	0.193084i
$253$	22.9636	−	3.87175i	1.44371	−	0.243415i
$254$	18.2316			1.14395
$255$	22.2793	+	4.12790i	1.39519	+	0.258499i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−4.48404	+	6.97731i	−0.279707	+	0.435233i	−0.952473	−	0.304623i	$-0.901470\pi$
$257$	−4.48404	+	6.97731i	−0.279707	+	0.435233i	0.672766	+	0.739855i	$0.265106\pi$
$258$	3.39514	+	0.488147i	0.211372	+	0.0303907i
$259$	−3.32260	+	2.13531i	−0.206456	+	0.132682i
$260$	2.97038	−	1.74358i	0.184215	−	0.108132i
$261$	9.36439	+	10.8071i	0.579641	+	0.668942i
$262$	19.4150	−	2.79146i	1.19946	−	0.172457i
$263$	−3.66223	−	1.67248i	−0.225823	−	0.103130i	0.299291	−	0.954162i	$-0.403250\pi$
$263$	−3.66223	−	1.67248i	−0.225823	−	0.103130i	−0.525114	+	0.851032i	$0.675977\pi$
$264$	−12.0815	+	3.54745i	−0.743566	+	0.218331i
$265$	5.37804	+	13.1584i	0.330371	+	0.808315i
$266$	−1.68845	+	3.69720i	−0.103526	+	0.226690i
$267$	−14.0603	+	2.02157i	−0.860478	+	0.123718i
$268$	−12.3288	+	10.6830i	−0.753101	+	0.652565i
$269$	6.96519	+	15.2516i	0.424675	+	0.929909i	0.994161	+	0.107908i	$0.0344151\pi$
$269$	6.96519	+	15.2516i	0.424675	+	0.929909i	−0.569486	+	0.822001i	$0.692858\pi$
$270$	−3.28142	+	2.61898i	−0.199701	+	0.159386i
$271$	1.43396	−	9.97339i	0.0871067	−	0.605840i	−0.898777	−	0.438407i	$-0.855543\pi$
$271$	1.43396	−	9.97339i	0.0871067	−	0.605840i	0.985883	−	0.167433i	$-0.0535479\pi$
$272$	−2.11270	+	3.28743i	−0.128102	+	0.199330i
$273$	−2.48449	−	2.15283i	−0.150368	−	0.130295i
$274$	16.9447	+	4.97541i	1.02367	+	0.300575i
$275$	−23.7718	+	4.93757i	−1.43349	+	0.297747i
$276$	2.06757	+	12.2629i	0.124453	+	0.738140i
$277$		−	20.5207i		−	1.23297i	−0.787367	−	0.616485i	$-0.788556\pi$
$277$		−	20.5207i		−	1.23297i	0.787367	−	0.616485i	$-0.211444\pi$
$278$	−0.104313	+	0.355259i	−0.00625630	+	0.0213070i
$279$	20.2851	−	23.4102i	1.21444	−	1.40153i
$280$	1.64184	+	0.831524i	0.0981188	+	0.0496931i
$281$	−3.52636	+	24.5264i	−0.210365	+	1.46312i	0.561575	+	0.827426i	$0.310196\pi$
$281$	−3.52636	+	24.5264i	−0.210365	+	1.46312i	−0.771940	+	0.635695i	$0.780713\pi$
$282$	8.63986	+	13.4439i	0.514496	+	0.800571i
$283$	8.67802	−	3.96312i	0.515855	−	0.235583i	−0.140438	−	0.990090i	$-0.544851\pi$
$283$	8.67802	−	3.96312i	0.515855	−	0.235583i	0.656293	+	0.754506i	$0.272124\pi$
$284$	6.56897	+	7.58100i	0.389797	+	0.449850i
$285$	27.7775	−	6.95082i	1.64540	−	0.411731i
$286$	−3.10715	+	6.80371i	−0.183730	+	0.402312i
$287$	−0.874895	−	2.97962i	−0.0516434	−	0.175881i
$288$	−1.04919	−	3.57323i	−0.0618243	−	0.210554i
$289$	0.718363	−	1.57300i	0.0422566	−	0.0925291i
$290$	−8.32930	+	2.08426i	−0.489114	+	0.122392i
$291$	19.3015	+	22.2752i	1.13148	+	1.30579i
$292$	5.62560	−	2.56912i	0.329213	−	0.150347i
$293$	9.35142	+	14.5511i	0.546316	+	0.850084i	0.999138	−	0.0415169i	$-0.0132190\pi$
$293$	9.35142	+	14.5511i	0.546316	+	0.850084i	−0.452822	+	0.891601i	$0.649583\pi$
$294$	−2.33325	+	16.2281i	−0.136078	+	0.946442i
$295$	2.60303	+	1.31832i	0.151554	+	0.0767558i
$296$	−3.14248	+	3.62662i	−0.182653	+	0.210793i
$297$	2.56863	−	8.74796i	0.149047	−	0.507608i
$298$		−	0.961629i		−	0.0557057i
$299$	6.30946	+	3.84207i	0.364886	+	0.222193i
$300$	−2.63673	−	12.6945i	−0.152232	−	0.732916i
$301$	1.04461	+	0.306725i	0.0602102	+	0.0176793i
$302$	−15.4445	−	13.3827i	−0.888730	−	0.770089i
$303$	12.2964	−	19.1335i	0.706407	−	1.09919i
$304$	−0.702797	+	4.88806i	−0.0403082	+	0.280349i
$305$	−23.0876	+	18.4268i	−1.32199	+	1.05511i
$306$	−6.04548	−	13.2378i	−0.345597	−	0.756752i
$307$	7.44626	−	6.45222i	0.424980	−	0.368248i	−0.415953	−	0.909386i	$-0.636552\pi$
$307$	7.44626	−	6.45222i	0.424980	−	0.368248i	0.840933	+	0.541139i	$0.182007\pi$
$308$	−3.95592	+	0.568776i	−0.225410	+	0.0324090i
$309$	−2.72122	+	5.95864i	−0.154805	+	0.338975i
$310$	7.03672	+	17.2167i	0.399659	+	0.977842i
$311$	8.06552	−	2.36825i	0.457354	−	0.134291i	−0.0449372	−	0.998990i	$-0.514309\pi$
$311$	8.06552	−	2.36825i	0.457354	−	0.134291i	0.502291	+	0.864699i	$0.332491\pi$
$312$	−3.63328	−	1.65926i	−0.205694	−	0.0939372i
$313$	−18.7663	+	2.69819i	−1.06074	+	0.152511i	−0.650529	−	0.759481i	$-0.725453\pi$
$313$	−18.7663	+	2.69819i	−1.06074	+	0.152511i	−0.410207	+	0.911992i	$0.634544\pi$
$314$	−12.6653	−	14.6165i	−0.714744	−	0.824859i
$315$	−5.91074	+	3.46953i	−0.333033	+	0.195486i
$316$	5.98528	−	3.84650i	0.336698	−	0.216383i
$317$	18.9449	+	2.72386i	1.06405	+	0.152987i	0.652035	−	0.758189i	$-0.273916\pi$
$317$	18.9449	+	2.72386i	1.06405	+	0.152987i	0.412016	+	0.911177i	$0.364825\pi$
$318$	8.91226	−	13.8678i	0.499775	−	0.777665i
$319$	12.2102	−	14.0914i	0.683642	−	0.788965i
$320$	2.19865	+	0.407364i	0.122908	+	0.0227723i
$321$	36.4969			2.03706
$322$	0.0956431	+	3.94606i	0.00532998	+	0.219905i
$323$			19.2979i			1.07376i
$324$	−6.04814	−	1.77590i	−0.336008	−	0.0986609i
$325$	−6.72461	−	3.75444i	−0.373014	−	0.208259i
$326$	16.8661	+	10.8392i	0.934126	+	0.600327i
$327$	0.00192702		0.000277064i	0.000106565		1.53217e-5i
$328$	−2.03986	−	3.17408i	−0.112632	−	0.175259i
$329$	2.10713	+	4.61397i	0.116170	+	0.254376i
$330$	20.5165	+	19.2824i	1.12940	+	1.06146i
$331$	−4.43315	−	30.8332i	−0.243668	−	1.69475i	−0.633404	−	0.773821i	$-0.718343\pi$
$331$	−4.43315	−	30.8332i	−0.243668	−	1.69475i	0.389736	−	0.920927i	$-0.372566\pi$
$332$	−10.8448	−	4.95266i	−0.595187	−	0.271813i
$333$	−5.03477	−	17.1469i	−0.275904	−	0.939642i
$334$	−11.3991	+	3.34707i	−0.623730	+	0.183144i
$335$	34.5564	+	11.6823i	1.88802	+	0.638270i
$336$	−0.303734	−	2.11252i	−0.0165701	−	0.115247i
$337$	3.40702	−	2.95220i	0.185592	−	0.160816i	−0.557109	−	0.830439i	$-0.688090\pi$
$337$	3.40702	−	2.95220i	0.185592	−	0.160816i	0.742702	+	0.669623i	$0.233544\pi$
$338$	9.66698	−	4.41476i	0.525814	−	0.240131i
$339$	9.92657	−	6.37942i	0.539137	−	0.346483i
$340$	8.73093	+	0.352939i	0.473501	+	0.0191408i
$341$	−33.9781	−	21.8364i	−1.84002	−	1.18251i
$342$	−13.8988	−	12.0433i	−0.751559	−	0.651230i
$343$	−3.08925	+	10.5210i	−0.166804	+	0.568081i
$344$	1.32277			0.0713190
$345$	21.3074	−	17.8680i	1.14715	−	0.961981i
$346$	−5.22484			−0.280889
$347$	0.684336	−	2.33063i	0.0367371	−	0.125115i	−0.939083	−	0.343691i	$-0.888323\pi$
$347$	0.684336	−	2.33063i	0.0367371	−	0.125115i	0.975820	+	0.218576i	$0.0701410\pi$
$348$	7.52500	+	6.52045i	0.403382	+	0.349533i
$349$	23.8539	+	15.3300i	1.27687	+	0.820595i	0.990499	−	0.137523i	$-0.0439141\pi$
$349$	23.8539	+	15.3300i	1.27687	+	0.820595i	0.286373	+	0.958118i	$0.407550\pi$
$350$	−0.254965	−	4.10736i	−0.0136284	−	0.219547i
$351$	2.43301	−	1.56360i	0.129865	−	0.0834590i
$352$	−4.41702	+	2.01718i	−0.235428	+	0.107516i
$353$	−5.93958	+	5.14667i	−0.316132	+	0.273930i	−0.798443	−	0.602070i	$-0.794343\pi$
$353$	−5.93958	+	5.14667i	−0.316132	+	0.273930i	0.482312	+	0.876000i	$0.339797\pi$
$354$	−0.481550	−	3.34925i	−0.0255941	−	0.178011i
$355$	7.18345	−	21.2488i	0.381258	−	1.12777i
$356$	−5.25610	+	1.54333i	−0.278573	+	0.0817964i
$357$	−2.34969	−	8.00231i	−0.124359	−	0.423527i
$358$	−3.12640	−	1.42778i	−0.165235	−	0.0754605i
$359$	−0.576914	−	4.01253i	−0.0304484	−	0.211773i	0.968917	−	0.247385i	$-0.0795711\pi$
$359$	−0.576914	−	4.01253i	−0.0304484	−	0.211773i	−0.999366	+	0.0356117i	$0.988662\pi$
$360$	−5.70296	+	6.06795i	−0.300572	+	0.319809i
$361$	2.23786	+	4.90023i	0.117782	+	0.257907i
$362$	−1.93084	−	3.00445i	−0.101483	−	0.157911i
$363$	−32.2866	−	4.64211i	−1.69461	−	0.243648i
$364$	−1.06652	−	0.685413i	−0.0559011	−	0.0359254i
$365$	−11.3221	−	7.94027i	−0.592628	−	0.415613i
$366$	32.8682	+	9.65098i	1.71805	+	0.504465i
$367$			0.00287537i			0.000150093i	1.00000		7.50466e-5i	$2.38881e-5\pi$
$367$			0.00287537i			0.000150093i	−1.00000		7.50466e-5i	$0.999976\pi$
$368$	1.46224	+	4.56748i	0.0762247	+	0.238096i
$369$	14.0511			0.731471
$370$	10.5507	+	1.95482i	0.548503	+	0.101626i
$371$	3.42641	−	3.95429i	0.177890	−	0.205296i
$372$	11.6609	−	18.1448i	0.604592	−	0.940764i
$373$	−5.56203	−	0.799699i	−0.287991	−	0.0414069i	−0.00319464	−	0.999995i	$-0.501017\pi$
$373$	−5.56203	−	0.799699i	−0.287991	−	0.0414069i	−0.284796	+	0.958588i	$0.591926\pi$
$374$	−15.9632	+	10.2589i	−0.825438	+	0.530477i
$375$	−21.4953	+	19.4541i	−1.11001	+	1.00460i
$376$	4.03581	+	4.65757i	0.208131	+	0.240196i
$377$	5.85444	−	0.841741i	0.301519	−	0.0433519i
$378$	1.40571	+	0.641964i	0.0723017	+	0.0330191i
$379$	−16.8263	+	4.94063i	−0.864307	+	0.253783i	−0.683692	−	0.729771i	$-0.739627\pi$
$379$	−16.8263	+	4.94063i	−0.864307	+	0.253783i	−0.180615	+	0.983554i	$0.557809\pi$
$380$	10.2216	−	4.17774i	0.524359	−	0.214313i
$381$	−19.6392	+	43.0038i	−1.00615	+	2.20315i
$382$	5.13118	−	0.737752i	0.262534	−	0.0377467i
$383$	−5.00087	+	4.33327i	−0.255532	+	0.221420i	−0.773201	−	0.634161i	$-0.781346\pi$
$383$	−5.00087	+	4.33327i	−0.255532	+	0.221420i	0.517668	+	0.855581i	$0.326800\pi$
$384$	−1.07721	−	2.35875i	−0.0549709	−	0.120370i
$385$	5.57470	+	6.98475i	0.284113	+	0.355976i
$386$	−2.36889	+	16.4760i	−0.120573	+	0.838605i
$387$	−2.66325	+	4.14410i	−0.135381	+	0.210656i
$388$	8.59023	+	7.44348i	0.436103	+	0.377885i
$389$	28.1129	+	8.25468i	1.42538	+	0.418529i	0.901320	−	0.433154i	$-0.142599\pi$
$389$	28.1129	+	8.25468i	1.42538	+	0.418529i	0.524058	+	0.851682i	$0.324417\pi$
$390$	0.912953	+	8.88458i	0.0462292	+	0.449888i
$391$	8.19610	+	16.8538i	0.414494	+	0.852334i
$392$			6.32259i			0.319339i
$393$	−14.3296	+	48.8021i	−0.722833	+	2.46174i
$394$	−0.460158	+	0.531051i	−0.0231824	+	0.0267539i
$395$	−14.1926	−	7.18795i	−0.714106	−	0.361665i
$396$	2.57355	−	17.8994i	0.129326	−	0.899480i
$397$	−9.57991	−	14.9066i	−0.480802	−	0.748143i	0.513110	−	0.858323i	$-0.328493\pi$
$397$	−9.57991	−	14.9066i	−0.480802	−	0.748143i	−0.993912	+	0.110181i	$0.964857\pi$
$398$	23.0315	−	10.5181i	1.15446	−	0.527226i
$399$	−6.90196	−	7.96528i	−0.345530	−	0.398763i
$400$	−1.70319	−	4.70097i	−0.0851594	−	0.235049i
$401$	4.73969	−	10.3785i	0.236689	−	0.518276i	−0.753595	−	0.657339i	$-0.771682\pi$
$401$	4.73969	−	10.3785i	0.236689	−	0.518276i	0.990284	+	0.139063i	$0.0444091\pi$
$402$	−11.9178	−	40.5883i	−0.594406	−	2.02436i
$403$	−3.60963	−	12.2933i	−0.179808	−	0.612371i
$404$	3.64362	−	7.97842i	0.181277	−	0.396941i
$405$	3.42153	+	13.6734i	0.170017	+	0.679438i
$406$	2.06961	+	2.38846i	0.102713	+	0.118537i
$407$	−21.1960	+	9.67987i	−1.05065	+	0.479814i
$408$	−5.47842	−	8.52458i	−0.271222	−	0.422030i
$409$	0.436149	−	3.03349i	0.0215662	−	0.149996i	−0.976193	−	0.216904i	$-0.930404\pi$
$409$	0.436149	−	3.03349i	0.0215662	−	0.149996i	0.997759	+	0.0669076i	$0.0213133\pi$
$410$	−3.81188	+	7.52653i	−0.188255	+	0.371709i
$411$	−29.9886	+	34.6087i	−1.47923	+	1.70712i
$412$	−0.711708	+	2.42386i	−0.0350633	+	0.119415i
$413$		−	1.07399i		−	0.0528478i
$414$	−17.2535	−	4.61505i	−0.847962	−	0.226817i
$415$	2.72504	+	26.5192i	0.133767	+	1.30178i
$416$	−1.47794	−	0.433964i	−0.0724622	−	0.0212768i
$417$	−0.725600	−	0.628736i	−0.0355328	−	0.0307893i
$418$	−12.9644	+	20.1730i	−0.634109	+	0.986692i
$419$	−4.74194	+	32.9809i	−0.231659	+	1.61122i	0.459268	+	0.888298i	$0.348112\pi$
$419$	−4.74194	+	32.9809i	−0.231659	+	1.61122i	−0.690927	+	0.722925i	$0.742797\pi$
$420$	−3.72996	+	2.97697i	−0.182003	+	0.145261i
$421$	−13.3875	−	29.3145i	−0.652466	−	1.42870i	−0.889379	−	0.457170i	$-0.848863\pi$
$421$	−13.3875	−	29.3145i	−0.652466	−	1.42870i	0.236914	−	0.971531i	$-0.423864\pi$
$422$	2.80344	−	2.42920i	0.136470	−	0.118252i
$423$	−22.7173	+	3.26626i	−1.10455	+	0.158811i
$424$	2.64086	−	5.78267i	0.128251	−	0.280831i
$425$	−9.20231	−	17.2362i	−0.446378	−	0.836077i
$426$	−24.9578	+	7.32828i	−1.20921	+	0.355056i
$427$	9.89033	+	4.51676i	0.478627	+	0.218582i
$428$	13.9315	−	2.00304i	0.673402	−	0.0968206i
$429$	−12.7012	−	14.6580i	−0.613220	−	0.707694i
$430$	−1.49730	−	2.55082i	−0.0722062	−	0.123012i
$431$	−7.59443	+	4.88064i	−0.365811	+	0.235092i	−0.710613	−	0.703583i	$-0.751582\pi$
$431$	−7.59443	+	4.88064i	−0.365811	+	0.235092i	0.344802	+	0.938675i	$0.387946\pi$
$432$	1.85848	+	0.267209i	0.0894162	+	0.0128561i
$433$	9.33815	−	14.5304i	0.448763	−	0.698289i	−0.540998	−	0.841024i	$-0.681953\pi$
$433$	9.33815	−	14.5304i	0.448763	−	0.698289i	0.989761	+	0.142735i	$0.0455897\pi$
$434$	4.48317	−	5.17385i	0.215199	−	0.248353i
$435$	4.05612	−	21.8919i	0.194476	−	1.04964i
$436$	0.000750782	0		3.59559e−5	0
$437$	18.2692	+	15.0711i	0.873936	+	0.720947i
$438$			16.0369i			0.766271i
$439$	12.5452	+	3.68360i	0.598749	+	0.175809i	0.567042	−	0.823689i	$-0.308088\pi$
$439$	12.5452	+	3.68360i	0.598749	+	0.175809i	0.0317066	+	0.999497i	$0.489906\pi$
$440$	8.88974	+	6.23441i	0.423802	+	0.297214i
$441$	−19.8080	−	12.7298i	−0.943237	−	0.606182i
$442$	−5.95804	−	0.856636i	−0.283395	−	0.0407460i
$443$	12.2792	+	19.1068i	0.583401	+	0.907790i	0.999999	−	0.00130107i	$-0.000414142\pi$
$443$	12.2792	+	19.1068i	0.583401	+	0.907790i	−0.416598	+	0.909091i	$0.636778\pi$
$444$	−5.16919	−	11.3190i	−0.245319	−	0.537174i
$445$	8.92576	+	8.38888i	0.423122	+	0.397671i
$446$	−2.29023	−	15.9289i	−0.108445	−	0.754255i
$447$	2.26824	+	1.03587i	0.107284	+	0.0489951i
$448$	−0.231881	−	0.789713i	−0.0109553	−	0.0373104i
$449$	−2.22247	+	0.652576i	−0.104885	+	0.0307970i	−0.333754	−	0.942660i	$-0.608315\pi$
$449$	−2.22247	+	0.652576i	−0.104885	+	0.0307970i	0.228869	+	0.973457i	$0.426497\pi$
$450$	18.1568	+	4.12898i	0.855921	+	0.194642i
$451$	−2.60738	−	18.1348i	−0.122777	−	0.853932i
$452$	3.43901	−	2.97992i	0.161758	−	0.140164i
$453$	48.2034	−	22.0137i	2.26479	−	1.03430i
$454$	3.02525	−	1.94421i	0.141982	−	0.0912463i
$455$	−0.114502	+	2.83253i	−0.00536795	+	0.132791i
$456$	−10.7727	−	6.92317i	−0.504476	−	0.324207i
$457$	17.5450	+	15.2028i	0.820721	+	0.711158i	0.960275	−	0.279056i	$-0.0900215\pi$
$457$	17.5450	+	15.2028i	0.820721	+	0.711158i	−0.139554	+	0.990214i	$0.544567\pi$
$458$	4.76861	−	16.2404i	0.222822	−	0.758864i
$459$	7.33722			0.342472
$460$	7.15272	−	7.98991i	0.333497	−	0.372531i
$461$	8.06438			0.375595			0.187798	−	0.982208i	$-0.439865\pi$
$461$	8.06438			0.375595			0.187798	+	0.982208i	$0.439865\pi$
$462$	2.91974	−	9.94372i	0.135839	−	0.462624i
$463$	12.7129	+	11.0158i	0.590817	+	0.511946i	0.898169	−	0.439650i	$-0.144898\pi$
$463$	12.7129	+	11.0158i	0.590817	+	0.511946i	−0.307352	+	0.951596i	$0.599443\pi$
$464$	3.23027	+	2.07597i	0.149962	+	0.0963744i
$465$	−48.1898	−	1.94803i	−2.23475	−	0.0903377i
$466$	19.4633	−	12.5083i	0.901619	−	0.579435i
$467$	−17.1332	+	7.82445i	−0.792828	+	0.362072i	−0.770306	−	0.637674i	$-0.779897\pi$
$467$	−17.1332	+	7.82445i	−0.792828	+	0.362072i	−0.0225214	+	0.999746i	$0.507169\pi$
$468$	4.33524	−	3.75651i	0.200396	−	0.173645i
$469$	−1.91082	−	13.2901i	−0.0882335	−	0.613678i
$470$	4.41332	−	13.0547i	0.203571	−	0.602170i
$471$	48.1199	−	14.1293i	2.21725	−	0.651043i
$472$	−0.367631	−	1.25204i	−0.0169216	−	0.0576296i
$473$	5.84270	+	2.66827i	0.268647	+	0.122687i
$474$	2.62557	+	18.2613i	0.120597	+	0.838767i
$475$	−19.6266	−	14.9824i	−0.900532	−	0.687438i
$476$	−1.33610	−	2.92565i	−0.0612401	−	0.134097i
$477$	12.7994	+	19.9163i	0.586045	+	0.911904i
$478$	−12.9534	−	1.86242i	−0.592476	−	0.0851853i
$479$	−5.18475	−	3.33204i	−0.236897	−	0.152245i	0.416806	−	0.908995i	$-0.363149\pi$
$479$	−5.18475	−	3.33204i	−0.236897	−	0.152245i	−0.653704	+	0.756751i	$0.726786\pi$
$480$	−3.32927	+	4.74725i	−0.151959	+	0.216681i
$481$	−7.09222	−	2.08246i	−0.323378	−	0.0949522i
$482$			0.609644i			0.0277685i
$483$	−9.41080	−	4.02512i	−0.428206	−	0.183149i
$484$	−12.5791			−0.571776
$485$	4.63030	−	24.9909i	0.210251	−	1.13478i
$486$	14.3927	−	16.6100i	0.652865	−	0.753446i
$487$	−14.0453	+	21.8549i	−0.636452	+	0.990339i	0.361858	+	0.932233i	$0.382143\pi$
$487$	−14.0453	+	21.8549i	−0.636452	+	0.990339i	−0.998310	+	0.0581061i	$0.981494\pi$
$488$	13.0760	+	1.88004i	0.591922	+	0.0851056i
$489$	−43.7352	+	28.1069i	−1.97777	+	1.27104i
$490$	12.1924	−	7.15681i	0.550798	−	0.323312i
$491$	−16.4557	−	18.9909i	−0.742634	−	0.857046i	0.251198	−	0.967936i	$-0.419175\pi$
$491$	−16.4557	−	18.9909i	−0.742634	−	0.857046i	−0.993833	+	0.110890i	$0.964630\pi$
$492$	9.68422	−	1.39238i	0.436598	−	0.0627734i
$493$	13.6492	+	6.23339i	0.614730	+	0.280738i
$494$	−7.29857	+	2.14305i	−0.328378	+	0.0964205i
$495$	−37.4302	+	15.2983i	−1.68236	+	0.687608i
$496$	3.45534	−	7.56614i	0.155149	−	0.339730i
$497$	−8.17208	+	1.17497i	−0.366568	+	0.0527045i
$498$	23.3642	−	20.2452i	1.04697	−	0.907209i
$499$	5.75654	+	12.6051i	0.257698	+	0.564281i	0.993619	−	0.112787i	$-0.0359778\pi$
$499$	5.75654	+	12.6051i	0.257698	+	0.564281i	−0.735921	+	0.677068i	$0.763250\pi$
$500$	−7.13742	+	8.60565i	−0.319195	+	0.384857i
$501$	4.38424	−	30.4931i	0.195873	−	1.36233i
$502$	6.00845	−	9.34933i	0.268170	−	0.417281i
$503$	−25.1422	−	21.7858i	−1.12104	−	0.971383i	−0.121261	−	0.992621i	$-0.538694\pi$
$503$	−25.1422	−	21.7858i	−1.12104	−	0.971383i	−0.999774	+	0.0212380i	$0.993239\pi$
$504$	2.94095	+	0.863541i	0.131000	+	0.0384652i
$505$	−19.5099	+	2.00478i	−0.868180	+	0.0892116i
$506$	−2.75469	+	23.1242i	−0.122461	+	1.02800i
$507$			27.5576i			1.22388i
$508$	−5.13644	+	17.4931i	−0.227893	+	0.776131i
$509$	5.23195	−	6.03799i	0.231902	−	0.267629i	−0.627858	−	0.778328i	$-0.716068\pi$
$509$	5.23195	−	6.03799i	0.231902	−	0.267629i	0.859759	+	0.510699i	$0.170613\pi$
$510$	−10.2375	+	20.2139i	−0.453324	+	0.895086i
$511$	−0.724403	+	5.03834i	−0.0320457	+	0.222883i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	8.43425	−	3.85179i	0.372381	−	0.170061i
$514$	−5.43138	−	6.26814i	−0.239568	−	0.276476i
$515$	5.47976	−	1.37121i	0.241467	−	0.0604229i
$516$	−1.42489	+	3.12008i	−0.0627275	+	0.137354i
$517$	8.43105	+	28.7135i	0.370797	+	1.26282i
$518$	−1.11273	−	3.78960i	−0.0488904	−	0.166505i
$519$	5.62823	−	12.3241i	0.247052	−	0.540968i
$520$	0.836097	+	3.34128i	0.0366653	+	0.146525i
$521$	−1.78669	−	2.06195i	−0.0782763	−	0.0903356i	0.715261	−	0.698858i	$-0.246308\pi$
$521$	−1.78669	−	2.06195i	−0.0782763	−	0.0903356i	−0.793537	+	0.608522i	$0.791763\pi$
$522$	−13.0076	+	5.94036i	−0.569326	+	0.260003i
$523$	−17.6517	−	27.4665i	−0.771853	−	1.20103i	−0.975071	−	0.221893i	$-0.928776\pi$
$523$	−17.6517	−	27.4665i	−0.771853	−	1.20103i	0.203218	−	0.979133i	$-0.434860\pi$
$524$	−2.79146	+	19.4150i	−0.121945	+	0.848149i
$525$	9.96288	+	3.82307i	0.434816	+	0.166852i
$526$	2.63650	−	3.04269i	0.114957	−	0.132668i
$527$	9.15747	−	31.1875i	0.398906	−	1.35855i
$528$		−	12.5916i		−	0.547978i
$529$	22.3564	+	5.40310i	0.972015	+	0.234917i
$530$	−14.1406	+	1.45304i	−0.614227	+	0.0631162i
$531$	4.66268	+	1.36909i	0.202343	+	0.0594133i
$532$	−3.07174	−	2.66168i	−0.133177	−	0.115398i
$533$	3.14208	−	4.88916i	0.136098	−	0.211773i
$534$	2.02157	−	14.0603i	0.0874819	−	0.608450i
$535$	−19.6323	−	24.5980i	−0.848777	−	1.06346i
$536$	−6.77680	−	14.8391i	−0.292713	−	0.640952i
$537$	6.73555	−	5.83639i	0.290661	−	0.251859i
$538$	−16.5962	+	2.38617i	−0.715511	+	0.102875i
$539$	−12.7538	+	27.9270i	−0.549346	+	1.20290i
$540$	−1.58841	−	3.88635i	−0.0683543	−	0.167242i
$541$	37.5294	−	11.0196i	1.61352	−	0.473771i	0.654251	−	0.756277i	$-0.272984\pi$
$541$	37.5294	−	11.0196i	1.61352	−	0.473771i	0.959266	+	0.282506i	$0.0911656\pi$
$542$	9.16540	+	4.18570i	0.393688	+	0.179791i
$543$	9.16667	−	1.31797i	0.393379	−	0.0565594i
$544$	−2.55905	−	2.95330i	−0.109718	−	0.126622i
$545$	−0.000849843	−	0.00144780i	−3.64033e−5	−	6.20171e-5i
$546$	2.76559	−	1.77733i	0.118356	−	0.0760629i
$547$	−42.8941	−	6.16724i	−1.83402	−	0.263692i	−0.863436	−	0.504459i	$-0.831692\pi$
$547$	−42.8941	−	6.16724i	−1.83402	−	0.263692i	−0.970583	+	0.240767i	$0.922601\pi$
$548$	−9.54773	+	14.8566i	−0.407859	+	0.634641i
$549$	−32.2170	+	37.1804i	−1.37499	+	1.58682i
$550$	1.95972	−	24.1999i	0.0835628	−	1.03189i
$551$	18.9623			0.807822
$552$	−12.3487	−	1.47104i	−0.525595	−	0.0626117i
$553$			5.85578i			0.249013i
$554$	19.6895	+	5.78135i	0.836525	+	0.245626i
$555$	−15.9762	+	22.7807i	−0.678151	+	0.966985i
$556$	−0.311480	−	0.200176i	−0.0132097	−	0.00848935i
$557$	18.0128	+	2.58985i	0.763228	+	0.109736i	0.512927	−	0.858432i	$-0.328561\pi$
$557$	18.0128	+	2.58985i	0.763228	+	0.109736i	0.250301	+	0.968168i	$0.419470\pi$
$558$	16.7470	+	26.0588i	0.708956	+	1.10316i
$559$	0.846414	+	1.85339i	0.0357995	+	0.0783900i
$560$	−1.26040	+	1.34107i	−0.0532617	+	0.0566704i
$561$	−7.00261	−	48.7042i	−0.295650	−	2.05629i
$562$	−22.5394	−	10.2934i	−0.950767	−	0.434201i
$563$	−1.76606	−	6.01463i	−0.0744304	−	0.253487i	0.913870	−	0.406007i	$-0.133079\pi$
$563$	−1.76606	−	6.01463i	−0.0744304	−	0.253487i	−0.988300	+	0.152520i	$0.951261\pi$
$564$	−15.3334	+	4.50230i	−0.645654	+	0.189581i
$565$	−9.63923	−	3.25867i	−0.405526	−	0.137093i
$566$	1.35770	+	9.44304i	0.0570686	+	0.396921i
$567$	3.92090	−	3.39748i	0.164662	−	0.142681i
$568$	−9.12461	+	4.16707i	−0.382860	+	0.174846i
$569$	34.4512	−	22.1404i	1.44427	−	0.928175i	0.444798	−	0.895631i	$-0.353275\pi$
$569$	34.4512	−	22.1404i	1.44427	−	0.928175i	0.999470	−	0.0325443i	$-0.0103610\pi$
$570$	−1.15655	+	28.6106i	−0.0484427	+	1.19836i
$571$	14.7398	+	9.47273i	0.616843	+	0.396421i	0.811418	−	0.584467i	$-0.198696\pi$
$571$	14.7398	+	9.47273i	0.616843	+	0.396421i	−0.194574	+	0.980888i	$0.562333\pi$
$572$	−5.65272	−	4.89811i	−0.236352	−	0.204800i
$573$	−3.78716	+	12.8979i	−0.158211	+	0.538817i
$574$	3.10541			0.129617
$575$	−23.5042	−	4.74914i	−0.980191	−	0.198053i
$576$	3.72408			0.155170
$577$	4.73519	−	16.1266i	0.197129	−	0.671358i	−0.800294	−	0.599608i	$-0.795323\pi$
$577$	4.73519	−	16.1266i	0.197129	−	0.671358i	0.997423	−	0.0717504i	$-0.0228585\pi$
$578$	1.30689	+	1.13243i	0.0543595	+	0.0471028i
$579$	−36.3109	−	23.3356i	−1.50903	−	0.969795i
$580$	0.346802	−	8.57911i	0.0144002	−	0.356228i
$581$	8.25488	−	5.30509i	0.342470	−	0.220092i
$582$	−26.8107	+	12.2441i	−1.11134	+	0.507533i
$583$	23.3294	−	20.2151i	0.966206	−	0.837223i
$584$	0.880143	+	6.12153i	0.0364206	+	0.253311i
$585$	−12.1513	−	4.10790i	−0.502393	−	0.169841i
$586$	−16.5963	+	4.87311i	−0.685586	+	0.201306i
$587$	12.0781	+	41.1342i	0.498516	+	1.69779i	0.696477	+	0.717579i	$0.254750\pi$
$587$	12.0781	+	41.1342i	0.498516	+	1.69779i	−0.197962	+	0.980210i	$0.563432\pi$
$588$	−14.9134	−	6.81072i	−0.615018	−	0.280869i
$589$	−5.84573	−	40.6579i	−0.240869	−	1.67528i
$590$	−1.99828	+	2.12617i	−0.0822679	+	0.0875331i
$591$	−0.756932	−	1.65745i	−0.0311360	−	0.0681783i
$592$	−2.59438	−	4.03693i	−0.106628	−	0.165917i
$593$	−15.4713	−	2.22443i	−0.635329	−	0.0913466i	−0.182878	−	0.983136i	$-0.558541\pi$
$593$	−15.4713	−	2.22443i	−0.635329	−	0.0913466i	−0.452451	+	0.891789i	$0.649450\pi$
$594$	7.66994	+	4.92917i	0.314701	+	0.202246i
$595$	−4.12942	+	5.88821i	−0.169290	+	0.241393i
$596$	0.922676	+	0.270922i	0.0377943	+	0.0110974i
$597$			65.6557i			2.68711i
$598$	−5.46402	+	4.97145i	−0.223441	+	0.203298i
$599$	−23.4056			−0.956327			−0.478163	−	0.878271i	$-0.658697\pi$
$599$	−23.4056			−0.956327			−0.478163	+	0.878271i	$0.658697\pi$
$600$	12.9231	+	1.04652i	0.527584	+	0.0427240i
$601$	6.80010	−	7.84774i	0.277382	−	0.320116i	−0.599915	−	0.800064i	$-0.704799\pi$
$601$	6.80010	−	7.84774i	0.277382	−	0.320116i	0.877297	+	0.479948i	$0.159344\pi$
$602$	−0.588600	+	0.915880i	−0.0239896	+	0.0373285i
$603$	60.1337	+	8.64592i	2.44883	+	0.352089i
$604$	17.1918	−	11.0485i	0.699526	−	0.449558i
$605$	14.2388	+	24.2574i	0.578890	+	0.986204i
$606$	14.8942	+	17.1888i	0.605035	+	0.698247i
$607$	6.99194	−	1.00529i	0.283794	−	0.0408035i	0.00105223	−	0.999999i	$-0.499665\pi$
$607$	6.99194	−	1.00529i	0.283794	−	0.0408035i	0.282742	+	0.959196i	$0.408756\pi$
$608$	−4.49206	−	2.05145i	−0.182177	−	0.0831974i
$609$	−7.86317	+	2.30883i	−0.318632	+	0.0935587i
$610$	−11.1758	−	27.3438i	−0.452496	−	1.10712i
$611$	−3.94348	+	8.63502i	−0.159536	+	0.349336i
$612$	14.4047	−	2.07109i	0.582277	−	0.0837188i
$613$	−0.680540	+	0.589691i	−0.0274867	+	0.0238174i	−0.668496	−	0.743716i	$-0.733062\pi$
$613$	−0.680540	+	0.589691i	−0.0274867	+	0.0238174i	0.641009	+	0.767533i	$0.278516\pi$
$614$	4.09300	+	8.96243i	0.165180	+	0.361694i
$615$	−13.6470	−	17.0989i	−0.550302	−	0.689494i
$616$	0.568776	−	3.95592i	0.0229166	−	0.159389i
$617$	17.4211	−	27.1078i	0.701349	−	1.09132i	−0.289609	−	0.957145i	$-0.593525\pi$
$617$	17.4211	−	27.1078i	0.701349	−	1.09132i	0.990958	−	0.134175i	$-0.0428384\pi$
$618$	−4.95061	−	4.28973i	−0.199143	−	0.172558i
$619$	−24.3150	−	7.13951i	−0.977301	−	0.286961i	−0.246191	−	0.969221i	$-0.579179\pi$
$619$	−24.3150	−	7.13951i	−0.977301	−	0.286961i	−0.731110	+	0.682260i	$0.760997\pi$
$620$	−18.5018	+	1.90118i	−0.743048	+	0.0763534i
$621$	5.73015	−	6.94612i	0.229943	−	0.278738i
$622$			8.40603i			0.337051i
$623$	1.27024	−	4.32605i	0.0508912	−	0.173319i
$624$	2.61566	−	3.01864i	0.104710	−	0.120842i
$625$	24.6742	+	4.02264i	0.986970	+	0.160906i
$626$	2.69819	−	18.7663i	0.107841	−	0.750054i
$627$	−33.6177	−	52.3102i	−1.34256	−	2.08907i
$628$	17.5927	−	8.03431i	0.702025	−	0.320604i
$629$	−12.2801	−	14.1720i	−0.489641	−	0.565076i
$630$	−1.66374	−	6.64879i	−0.0662851	−	0.264894i
$631$	2.43194	−	5.32520i	0.0968139	−	0.211993i	−0.855028	−	0.518581i	$-0.826460\pi$
$631$	2.43194	−	5.32520i	0.0968139	−	0.211993i	0.951842	+	0.306589i	$0.0991876\pi$
$632$	2.00445	+	6.82652i	0.0797326	+	0.271544i
$633$	2.70999	+	9.22937i	0.107712	+	0.366835i
$634$	−7.95092	+	17.4101i	−0.315771	+	0.691443i
$635$	39.5478	−	9.89613i	1.56941	−	0.392716i
$636$	10.7951	+	12.4583i	0.428055	+	0.494002i
$637$	−8.85884	+	4.04570i	−0.351000	+	0.160296i
$638$	10.0805	+	15.6856i	0.399093	+	0.621000i
$639$	5.31640	−	36.9764i	0.210313	−	1.46276i
$640$	−1.01029	+	1.99482i	−0.0399354	+	0.0788522i
$641$	8.76323	−	10.1133i	0.346127	−	0.399452i	−0.555817	−	0.831304i	$-0.687595\pi$
$641$	8.76323	−	10.1133i	0.346127	−	0.399452i	0.901944	+	0.431853i	$0.142140\pi$
$642$	−10.2824	+	35.0185i	−0.405813	+	1.38207i
$643$		−	16.5420i		−	0.652352i	−0.945309	−	0.326176i	$-0.894240\pi$
$643$		−	16.5420i		−	0.652352i	0.945309	−	0.326176i	$-0.105760\pi$
$644$	−3.81316	−	1.01996i	−0.150260	−	0.0401922i
$645$	7.62965	−	0.784000i	0.300417	−	0.0308700i
$646$	−18.5162	−	5.43684i	−0.728509	−	0.213910i
$647$	26.1354	+	22.6464i	1.02749	+	0.890323i	0.994029	−	0.109117i	$-0.0348024\pi$
$647$	26.1354	+	22.6464i	1.02749	+	0.890323i	0.0334586	+	0.999440i	$0.489348\pi$
$648$	3.40792	−	5.30282i	0.133876	−	0.208315i
$649$	0.901755	−	6.27184i	0.0353970	−	0.246191i
$650$	5.49690	−	5.39447i	0.215606	−	0.211588i
$651$	7.37454	+	16.1480i	0.289031	+	0.632889i
$652$	−15.1518	+	13.1291i	−0.593392	+	0.514177i
$653$	−45.9652	+	6.60880i	−1.79876	+	0.258622i	−0.958810	−	0.284047i	$-0.908323\pi$
$653$	−45.9652	+	6.60880i	−1.79876	+	0.258622i	−0.839946	+	0.542669i	$0.817414\pi$
$654$	−0.000808746		0.00177091i	−3.16245e−5		6.92480e-5i
$655$	40.5996	−	16.5937i	1.58636	−	0.648368i
$656$	3.62020	−	1.06299i	0.141345	−	0.0415027i
$657$	−20.9502	−	9.56762i	−0.817344	−	0.373268i
$658$	−5.02072	+	0.721870i	−0.195728	+	0.0281414i
$659$	24.3323	+	28.0810i	0.947852	+	1.09388i	0.995476	+	0.0950144i	$0.0302897\pi$
$659$	24.3323	+	28.0810i	0.947852	+	1.09388i	−0.0476238	+	0.998865i	$0.515165\pi$
$660$	−24.2815	+	14.2529i	−0.945156	+	0.554795i
$661$	−22.3758	+	14.3800i	−0.870317	+	0.559319i	−0.897850	−	0.440302i	$-0.854871\pi$
$661$	−22.3758	+	14.3800i	−0.870317	+	0.559319i	0.0275324	+	0.999621i	$0.491235\pi$
$662$	30.8332	+	4.43315i	1.19837	+	0.172299i
$663$	8.43862	−	13.1308i	0.327729	−	0.509956i
$664$	7.80738	−	9.01020i	0.302985	−	0.349664i
$665$	−1.65573	+	8.93640i	−0.0642064	+	0.346539i
$666$	17.8708			0.692478
$667$	16.5608	−	8.05358i	0.641235	−	0.311836i
$668$		−	11.8803i		−	0.459663i
$669$	40.0393	+	11.7566i	1.54801	+	0.454537i
$670$	−20.9447	+	29.8654i	−0.809165	+	1.15380i
$671$	53.9645	+	34.6809i	2.08328	+	1.33884i
$672$	2.11252	+	0.303734i	0.0814922	+	0.0117168i
$673$	21.9007	+	34.0782i	0.844210	+	1.31362i	0.947757	+	0.318992i	$0.103344\pi$
$673$	21.9007	+	34.0782i	0.844210	+	1.31362i	−0.103547	+	0.994625i	$0.533019\pi$
$674$	1.87275	+	4.10074i	0.0721355	+	0.157955i
$675$	−5.69642	+	7.46221i	−0.219255	+	0.287221i
$676$	1.51243	+	10.5192i	0.0581704	+	0.404584i
$677$	−22.5137	−	10.2817i	−0.865272	−	0.395157i	−0.0672152	−	0.997738i	$-0.521411\pi$
$677$	−22.5137	−	10.2817i	−0.865272	−	0.395157i	−0.798057	+	0.602582i	$0.794139\pi$
$678$	3.32437	+	11.3218i	0.127672	+	0.434810i
$679$	−8.97627	+	2.63567i	−0.344478	+	0.101148i
$680$	−2.79843	+	8.27783i	−0.107315	+	0.317440i
$681$	1.32709	+	9.23013i	0.0508543	+	0.353699i
$682$	30.5246	−	26.4497i	1.16885	−	1.01281i
$683$	6.95452	−	3.17602i	0.266107	−	0.121527i	−0.277893	−	0.960612i	$-0.589636\pi$
$683$	6.95452	−	3.17602i	0.266107	−	0.121527i	0.544001	+	0.839085i	$0.316909\pi$
$684$	15.4712	−	9.94276i	0.591558	−	0.380171i
$685$	39.4568	+	1.59500i	1.50757	+	0.0609420i
$686$	−9.22450	−	5.92823i	−0.352193	−	0.226341i
$687$	33.1703	+	28.7422i	1.26552	+	1.09658i
$688$	−0.372667	+	1.26919i	−0.0142078	+	0.0483873i
$689$	9.79218			0.373052
$690$	11.1413	+	25.4783i	0.424140	+	0.969941i
$691$	12.5218			0.476351			0.238176	−	0.971222i	$-0.423451\pi$
$691$	12.5218			0.476351			0.238176	+	0.971222i	$0.423451\pi$
$692$	1.47201	−	5.01320i	0.0559574	−	0.190573i
$693$	11.2483	+	9.74672i	0.427288	+	0.370247i
$694$	2.04343	+	1.31323i	0.0775674	+	0.0498496i
$695$	−0.0334406	+	0.827244i	−0.00126847	+	0.0313792i
$696$	−8.37636	+	5.38316i	−0.317505	+	0.204048i
$697$	13.4118	−	6.12496i	0.508008	−	0.232000i
$698$	−21.4294	+	18.5687i	−0.811116	+	0.702836i
$699$	8.53799	+	59.3830i	0.322937	+	2.24607i
$700$	4.01281	+	0.912539i	0.151670	+	0.0344907i
$701$	8.90573	−	2.61496i	0.336365	−	0.0987656i	−0.109188	−	0.994021i	$-0.534825\pi$
$701$	8.90573	−	2.61496i	0.336365	−	0.0987656i	0.445553	+	0.895255i	$0.353007\pi$
$702$	0.814807	+	2.77498i	0.0307529	+	0.104735i
$703$	−21.5561	−	9.84432i	−0.813002	−	0.371286i
$704$	−0.691057	−	4.80640i	−0.0260452	−	0.181148i
$705$	26.0388	+	24.4726i	0.980678	+	0.921690i
$706$	−3.26482	−	7.14897i	−0.122873	−	0.269055i
$707$	3.90290	+	6.07303i	0.146784	+	0.228400i
$708$	3.34925	+	0.481550i	0.125873	+	0.0180978i
$709$	−13.9940	−	8.99337i	−0.525554	−	0.337753i	0.250811	−	0.968036i	$-0.419303\pi$
$709$	−13.9940	−	8.99337i	−0.525554	−	0.337753i	−0.776366	+	0.630283i	$0.782939\pi$
$710$	18.3643	+	12.8790i	0.689200	+	0.483339i
$711$	−25.4225	−	7.46471i	−0.953417	−	0.279949i
$712$		−	5.47800i		−	0.205297i
$713$	−22.3734	−	33.0258i	−0.837890	−	1.23683i
$714$	8.34015			0.312122
$715$	−3.04693	+	16.4451i	−0.113949	+	0.615011i
$716$	2.25075	−	2.59751i	0.0841146	−	0.0970734i
$717$	18.3465	−	28.5477i	0.685163	−	1.06613i
$718$	4.01253	+	0.576914i	0.149746	+	0.0215302i
$719$	31.4661	−	20.2221i	1.17349	−	0.754156i	0.199311	−	0.979936i	$-0.436130\pi$
$719$	31.4661	−	20.2221i	1.17349	−	0.754156i	0.974178	+	0.225781i	$0.0724932\pi$
$720$	−4.21545	−	7.18149i	−0.157100	−	0.267638i
$721$	−1.36157	−	1.57134i	−0.0507077	−	0.0585198i
$722$	−5.33221	+	0.766656i	−0.198444	+	0.0285320i
$723$	−1.43800	−	0.656712i	−0.0534797	−	0.0244234i
$724$	3.42673	−	1.00618i	0.127354	−	0.0373944i
$725$	−16.9365	+	9.04230i	−0.629005	+	0.335823i
$726$	13.5503	−	29.6709i	0.502897	−	1.10119i
$727$	−7.50409	+	1.07893i	−0.278311	+	0.0400151i	−0.280057	−	0.959983i	$-0.590353\pi$
$727$	−7.50409	+	1.07893i	−0.278311	+	0.0400151i	0.00174573	+	0.999998i	$0.499444\pi$
$728$	0.958124	−	0.830219i	0.0355104	−	0.0307700i
$729$	15.8194	+	34.6396i	0.585903	+	1.28295i
$730$	10.8084	−	8.62649i	0.400039	−	0.319281i
$731$	−0.735638	+	5.11648i	−0.0272086	+	0.189240i
$732$	−18.5201	+	28.8178i	−0.684522	+	1.06514i
$733$	−27.8874	−	24.1646i	−1.03005	−	0.892540i	−0.0357674	−	0.999360i	$-0.511388\pi$
$733$	−27.8874	−	24.1646i	−1.03005	−	0.892540i	−0.994278	+	0.106820i	$0.965933\pi$
$734$	−0.00275890		0.000810086i	−0.000101833		2.99008e-5i
$735$	3.74737	+	36.4683i	0.138224	+	1.34515i
$736$	−4.79442	+	0.116205i	−0.176725	+	0.00428339i
$737$		−	79.2147i		−	2.91791i
$738$	−3.95865	+	13.4819i	−0.145720	+	0.496276i
$739$	−22.4956	+	25.9613i	−0.827514	+	0.955002i	−0.999547	−	0.0300890i	$-0.990421\pi$
$739$	−22.4956	+	25.9613i	−0.827514	+	0.955002i	0.172033	+	0.985091i	$0.444966\pi$
$740$	−4.84810	+	9.57255i	−0.178220	+	0.351894i
$741$	2.80713	−	19.5240i	0.103122	−	0.717233i
$742$	2.82878	+	4.40167i	0.103848	+	0.161590i
$743$	−14.9390	+	6.82240i	−0.548057	+	0.250289i	−0.670145	−	0.742230i	$-0.733768\pi$
$743$	−14.9390	+	6.82240i	−0.548057	+	0.250289i	0.122088	+	0.992519i	$0.461041\pi$
$744$	14.1245	+	16.3006i	0.517830	+	0.597608i
$745$	−0.521973	−	2.08595i	−0.0191236	−	0.0764234i
$746$	2.33431	−	5.11143i	0.0854652	−	0.187143i
$747$	12.5087	+	42.6007i	0.457670	+	1.55868i
$748$	−5.34602	−	18.2069i	−0.195470	−	0.665709i
$749$	−4.81226	+	10.5374i	−0.175836	+	0.385028i
$750$	−12.6101	−	26.1054i	−0.460457	−	0.953236i
$751$	8.77410	+	10.1258i	0.320171	+	0.369497i	0.892906	−	0.450244i	$-0.148663\pi$
$751$	8.77410	+	10.1258i	0.320171	+	0.369497i	−0.572734	+	0.819741i	$0.694117\pi$
$752$	−5.60592	+	2.56014i	−0.204427	+	0.0933587i
$753$	15.5804	+	24.2436i	0.567782	+	0.883486i
$754$	−0.841741	+	5.85444i	−0.0306544	+	0.213206i
$755$	−40.7661	−	20.6463i	−1.48363	−	0.751397i
$756$	−1.01199	+	1.16790i	−0.0368058	+	0.0424762i
$757$	−6.88700	+	23.4550i	−0.250312	+	0.852485i	0.734462	+	0.678649i	$0.237434\pi$
$757$	−6.88700	+	23.4550i	−0.250312	+	0.852485i	−0.984775	+	0.173836i	$0.944384\pi$
$758$		−	17.5366i		−	0.636958i
$759$	−51.5770	−	31.4072i	−1.87213	−	1.14001i
$760$	1.12874	+	10.9846i	0.0409438	+	0.398453i
$761$	−17.2773	−	5.07309i	−0.626303	−	0.183899i	−0.0468464	−	0.998902i	$-0.514917\pi$
$761$	−17.2773	−	5.07309i	−0.626303	−	0.183899i	−0.579457	+	0.815003i	$0.696735\pi$
$762$	−35.7289	−	30.9593i	−1.29432	−	1.12154i
$763$	−0.000334080	0	0.000519838i	−1.20945e−5	0	1.88194e-5i
$764$	−0.737752	+	5.13118i	−0.0266909	+	0.185640i
$765$	−20.2992	−	25.4337i	−0.733920	−	0.919556i
$766$	−2.74884	−	6.01912i	−0.0993196	−	0.217480i
$767$	1.51904	−	1.31626i	0.0548493	−	0.0475272i
$768$	2.56669	−	0.369034i	0.0926174	−	0.0133164i
$769$	−8.01981	+	17.5609i	−0.289202	+	0.633264i	−0.997346	−	0.0728039i	$-0.976805\pi$
$769$	−8.01981	+	17.5609i	−0.289202	+	0.633264i	0.708144	+	0.706068i	$0.249533\pi$
$770$	−8.27240	+	3.38106i	−0.298117	+	0.121845i
$771$	20.6357	−	6.05919i	0.743177	−	0.218216i
$772$	−15.1412	−	6.91475i	−0.544943	−	0.248867i
$773$	10.9151	−	1.56936i	0.392590	−	0.0564459i	0.0568066	−	0.998385i	$-0.481908\pi$
$773$	10.9151	−	1.56936i	0.392590	−	0.0564459i	0.335783	+	0.941939i	$0.390999\pi$
$774$	−3.22591	−	3.72290i	−0.115953	−	0.133817i
$775$	24.6092	+	33.5266i	0.883988	+	1.20431i
$776$	−9.56211	+	6.14520i	−0.343260	+	0.220600i
$777$	10.1374	+	1.45753i	0.363676	+	0.0522887i
$778$	−15.8406	+	24.6485i	−0.567913	+	0.883691i
$779$	12.2017	−	14.0815i	0.437171	−	0.504522i
$780$	−8.78190	−	1.62710i	−0.314443	−	0.0582597i
$781$	−48.7093			−1.74296
$782$	−18.4802	+	3.11583i	−0.660851	+	0.111422i
$783$		−	7.20964i		−	0.257651i
$784$	−6.06648	−	1.78128i	−0.216660	−	0.0636171i
$785$	−35.4073	−	24.8313i	−1.26374	−	0.886265i
$786$	−42.7882	−	27.4983i	−1.52620	−	0.980832i
$787$	3.16277	+	0.454737i	0.112741	+	0.0162096i	0.198454	−	0.980110i	$-0.436408\pi$
$787$	3.16277	+	0.454737i	0.112741	+	0.0162096i	−0.0857136	+	0.996320i	$0.527317\pi$
$788$	−0.379898	−	0.591133i	−0.0135333	−	0.0210582i
$789$	4.33689	+	9.49646i	0.154397	+	0.338083i
$790$	10.8953	−	11.5926i	0.387637	−	0.412446i
$791$	0.533008	+	3.70715i	0.0189516	+	0.131811i
$792$	16.4493	+	7.51215i	0.584501	+	0.266933i
$793$	5.73286	+	19.5243i	0.203580	+	0.693329i
$794$	17.0018	−	4.99217i	0.603371	−	0.177166i
$795$	11.8049	−	34.9193i	0.418678	−	1.23846i
$796$	3.60335	+	25.0619i	0.127717	+	0.888294i
$797$	−27.3779	+	23.7231i	−0.969777	+	0.840316i	−0.987193	−	0.159532i	$-0.949001\pi$
$797$	−27.3779	+	23.7231i	−0.969777	+	0.840316i	0.0174162	+	0.999848i	$0.494456\pi$
$798$	9.58714	−	4.37830i	0.339381	−	0.154990i
$799$	−20.2599	+	13.0203i	−0.716745	+	0.460624i
$800$	4.99039	−	0.309779i	0.176437	−	0.0109524i
$801$	17.1620	+	11.0293i	0.606389	+	0.389703i
$802$	8.62275	+	7.47165i	0.304480	+	0.263833i
$803$	−8.46064	+	28.8143i	−0.298570	+	1.01683i
$804$	42.3018			1.49187
$805$	2.34939	+	8.50782i	0.0828052	+	0.299861i
$806$	12.8122			0.451292
$807$	12.2491	−	41.7166i	0.431189	−	1.46849i
$808$	6.62871	+	5.74381i	0.233197	+	0.202067i
$809$	−22.2577	−	14.3041i	−0.782538	−	0.502907i	0.0873372	−	0.996179i	$-0.472164\pi$
$809$	−22.2577	−	14.3041i	−0.782538	−	0.502907i	−0.869875	+	0.493272i	$0.835801\pi$
$810$	−14.0835	−	0.569312i	−0.494844	−	0.0200036i
$811$	40.7874	−	26.2125i	1.43224	−	0.920445i	0.432416	−	0.901674i	$-0.357661\pi$
$811$	40.7874	−	26.2125i	1.43224	−	0.920445i	0.999824	−	0.0187703i	$-0.00597513\pi$
$812$	−2.87478	+	1.31287i	−0.100885	+	0.0460727i
$813$	−19.7460	+	17.1100i	−0.692524	+	0.600075i
$814$	−3.31618	−	23.0645i	−0.116232	−	0.808411i
$815$	42.4692	+	14.3573i	1.48763	+	0.502913i
$816$	9.72273	−	2.85485i	0.340364	−	0.0999398i
$817$	1.84035	+	6.26766i	0.0643858	+	0.219278i
$818$	2.78773	+	1.27311i	0.0974707	+	0.0445134i
$819$	0.671912	+	4.67325i	0.0234785	+	0.163297i
$820$	−6.14773	−	5.77794i	−0.214688	−	0.201774i
$821$	−7.21762	−	15.8044i	−0.251897	−	0.551577i	0.740868	−	0.671650i	$-0.234414\pi$
$821$	−7.21762	−	15.8044i	−0.251897	−	0.551577i	−0.992765	+	0.120073i	$0.961687\pi$
$822$	−24.7581	−	38.5243i	−0.863537	−	1.34369i
$823$	−17.9007	−	2.57373i	−0.623979	−	0.0897147i	−0.176929	−	0.984224i	$-0.556616\pi$
$823$	−17.9007	−	2.57373i	−0.623979	−	0.0897147i	−0.447050	+	0.894509i	$0.647525\pi$
$824$	−2.12516	−	1.36576i	−0.0740335	−	0.0475784i
$825$	54.9706	+	30.6908i	1.91383	+	1.06852i
$826$	1.03049	+	0.302579i	0.0358554	+	0.0105281i
$827$		−	28.4098i		−	0.987904i	−0.869489	−	0.493952i	$-0.835552\pi$
$827$		−	28.4098i		−	0.987904i	0.869489	−	0.493952i	$-0.164448\pi$
$828$	9.28898	−	15.2544i	0.322814	−	0.530126i
$829$	26.4729			0.919441			0.459720	−	0.888064i	$-0.347950\pi$
$829$	26.4729			0.919441			0.459720	+	0.888064i	$0.347950\pi$
$830$	−26.2127	−	4.85668i	−0.909857	−	0.168578i
$831$	−34.8464	+	40.2148i	−1.20881	+	1.39504i
$832$	0.832770	−	1.29582i	0.0288711	−	0.0449243i
$833$	−24.4558	−	3.51621i	−0.847343	−	0.121829i
$834$	0.807693	−	0.519073i	0.0279681	−	0.0179740i
$835$	−22.9099	+	13.4478i	−0.792831	+	0.465382i
$836$	−15.7033	−	18.1226i	−0.543111	−	0.626784i
$837$	−15.4585	+	2.22259i	−0.534323	+	0.0768241i
$838$	−30.3090	−	13.8417i	−1.04701	−	0.478152i
$839$	33.0440	−	9.70260i	1.14081	−	0.334971i	0.343860	−	0.939021i	$-0.388265\pi$
$839$	33.0440	−	9.70260i	1.14081	−	0.334971i	0.796947	+	0.604050i	$0.206447\pi$
$840$	−1.80553	−	4.41758i	−0.0622968	−	0.152421i
$841$	−5.92204	+	12.9674i	−0.204208	+	0.447153i
$842$	31.8987	−	4.58635i	1.09930	−	0.158056i
$843$	48.5591	−	42.0767i	1.67247	−	1.44920i
$844$	1.54098	+	3.37427i	0.0530426	+	0.116147i
$845$	18.5731	−	14.8237i	0.638936	−	0.509950i
$846$	3.26626	−	22.7173i	0.112296	−	0.781037i
$847$	5.59738	−	8.70970i	0.192328	−	0.299269i
$848$	4.80442	+	4.16305i	0.164984	+	0.142960i
$849$	−23.7363	−	6.96961i	−0.814628	−	0.239196i
$850$	19.1306	−	3.97356i	0.656174	−	0.136292i
$851$	−23.0070	+	0.557636i	−0.788671	+	0.0191155i
$852$		−	26.0115i		−	0.891138i
$853$	−10.8566	+	36.9743i	−0.371724	+	1.26598i	0.535215	+	0.844716i	$0.320231\pi$
$853$	−10.8566	+	36.9743i	−0.371724	+	1.26598i	−0.906939	+	0.421261i	$0.861588\pi$
$854$	−7.12023	+	8.21719i	−0.243649	+	0.281186i
$855$	−36.6861	−	18.5800i	−1.25464	−	0.635423i
$856$	−2.00304	+	13.9315i	−0.0684625	+	0.476167i
$857$	−27.1591	−	42.2605i	−0.927739	−	1.44359i	−0.895980	−	0.444094i	$-0.853526\pi$
$857$	−27.1591	−	42.2605i	−0.927739	−	1.44359i	−0.0317588	−	0.999496i	$-0.510111\pi$
$858$	17.6426	−	8.05709i	0.602308	−	0.275065i
$859$	−23.9776	−	27.6716i	−0.818103	−	0.944142i	0.181123	−	0.983460i	$-0.442027\pi$
$859$	−23.9776	−	27.6716i	−0.818103	−	0.944142i	−0.999227	+	0.0393187i	$0.987481\pi$
$860$	2.86933	−	0.718000i	0.0978435	−	0.0244836i
$861$	−3.34516	+	7.32489i	−0.114003	+	0.249631i
$862$	−2.54335	−	8.66184i	−0.0866267	−	0.295023i
$863$	6.65724	+	22.6725i	0.226615	+	0.771781i	0.991781	+	0.127947i	$0.0408388\pi$
$863$	6.65724	+	22.6725i	0.226615	+	0.771781i	−0.765166	+	0.643833i	$0.777343\pi$
$864$	−0.779980	+	1.70792i	−0.0265355	+	0.0581046i
$865$	−11.3337	+	2.83605i	−0.385356	+	0.0964285i
$866$	11.3110	+	13.0536i	0.384363	+	0.443579i
$867$	−4.07891	+	1.86277i	−0.138527	+	0.0632631i
$868$	3.70122	+	5.75921i	0.125628	+	0.195480i
$869$	−4.91667	+	34.1962i	−0.166787	+	1.16003i
$870$	19.8624	+	10.0595i	0.673399	+	0.341049i
$871$	16.4554	−	18.9905i	0.557569	−	0.643469i
$872$	−0.000211520	0	0.000720370i	−7.16296e−6	0	2.43948e-5i
$873$		−	42.3297i		−	1.43264i
$874$	−19.6076	+	13.2832i	−0.663238	+	0.449311i
$875$	−2.78254	−	8.77122i	−0.0940670	−	0.296521i
$876$	−15.3873	−	4.51811i	−0.519887	−	0.152653i
$877$	−11.0096	−	9.53985i	−0.371767	−	0.322138i	0.448860	−	0.893602i	$-0.351830\pi$
$877$	−11.0096	−	9.53985i	−0.371767	−	0.322138i	−0.820627	+	0.571464i	$0.806376\pi$
$878$	−7.06877	+	10.9992i	−0.238560	+	0.371206i
$879$	6.38315	−	44.3958i	0.215298	−	1.49743i
$880$	−8.48640	+	6.77321i	−0.286077	+	0.228325i
$881$	−6.02503	−	13.1930i	−0.202988	−	0.444483i	0.780571	−	0.625067i	$-0.214928\pi$
$881$	−6.02503	−	13.1930i	−0.202988	−	0.444483i	−0.983559	+	0.180584i	$0.942201\pi$
$882$	17.7947	−	15.4192i	0.599180	−	0.519192i
$883$	−14.1330	+	2.03202i	−0.475613	+	0.0683828i	−0.375953	−	0.926639i	$-0.622685\pi$
$883$	−14.1330	+	2.03202i	−0.475613	+	0.0683828i	−0.0996597	+	0.995022i	$0.531775\pi$
$884$	2.50051	−	5.47535i	0.0841012	−	0.184156i
$885$	−2.86255	−	7.00377i	−0.0962235	−	0.235429i
$886$	−21.7922	+	6.39878i	−0.732125	+	0.214971i
$887$	3.65322	+	1.66837i	0.122663	+	0.0560183i	0.475801	−	0.879553i	$-0.342158\pi$
$887$	3.65322	+	1.66837i	0.122663	+	0.0560183i	−0.353138	+	0.935571i	$0.614885\pi$
$888$	12.3168	−	1.77089i	0.413324	−	0.0594271i
$889$	−9.82656	−	11.3405i	−0.329572	−	0.380347i
$890$	−10.5637	+	6.20079i	−0.354098	+	0.207851i
$891$	25.7496	−	16.5483i	0.862644	−	0.554388i
$892$	15.9289	+	2.29023i	0.533339	+	0.0766825i
$893$	−16.4539	+	25.6028i	−0.550610	+	0.856766i
$894$	−1.63295	+	1.88452i	−0.0546140	+	0.0630279i
$895$	−7.55675	−	1.40011i	−0.252594	−	0.0468004i
$896$	0.823052			0.0274962
$897$	−5.84053	−	18.2435i	−0.195010	−	0.609134i
$898$		−	2.31630i		−	0.0772958i
$899$	−30.6452	−	8.99824i	−1.02207	−	0.300108i
$900$	−9.07710	+	16.2581i	−0.302570	+	0.541936i
$901$	20.8987	+	13.4308i	0.696237	+	0.447445i
$902$	18.1348	+	2.60738i	0.603821	+	0.0868164i
$903$	−1.52629	−	2.37495i	−0.0507917	−	0.0790335i
$904$	1.89033	+	4.13925i	0.0628715	+	0.137669i
$905$	−5.81918	−	5.46915i	−0.193436	−	0.181801i
$906$	7.54157	+	52.4528i	0.250552	+	1.74263i
$907$	45.7095	+	20.8748i	1.51776	+	0.693137i	0.987920	−	0.154963i	$-0.0495257\pi$
$907$	45.7095	+	20.8748i	1.51776	+	0.693137i	0.529837	+	0.848099i	$0.322253\pi$
$908$	1.01314	+	3.45045i	0.0336224	+	0.114507i
$909$	−31.3409	+	9.20253i	−1.03951	+	0.305229i
$910$	−2.68553	−	0.907880i	−0.0890245	−	0.0300959i
$911$	3.28382	+	22.8394i	0.108798	+	0.756704i	0.969055	+	0.246844i	$0.0793937\pi$
$911$	3.28382	+	22.8394i	0.108798	+	0.756704i	−0.860257	+	0.509860i	$0.829697\pi$
$912$	9.67774	−	8.38581i	0.320462	−	0.277682i
$913$	52.6606	−	24.0493i	1.74281	−	0.795915i
$914$	−19.5300	+	12.5512i	−0.645995	+	0.415156i
$915$	76.5358	+	3.09389i	2.53020	+	0.102281i
$916$	14.2391	+	9.15089i	0.470472	+	0.302354i
$917$	−12.2007	−	10.5720i	−0.402904	−	0.349118i
$918$	−2.06713	+	7.04001i	−0.0682255	+	0.232355i
$919$	−0.729666			−0.0240695			−0.0120347	−	0.999928i	$-0.503831\pi$
$919$	−0.729666			−0.0240695			−0.0120347	+	0.999928i	$0.503831\pi$
$920$	5.65111	+	9.11400i	0.186311	+	0.300480i
$921$	−25.5491			−0.841873
$922$	−2.27200	+	7.73771i	−0.0748242	+	0.254828i
$923$	−11.6773	−	10.1184i	−0.384363	−	0.333053i
$924$	8.71835	+	5.60294i	0.286812	+	0.184323i
$925$	23.9474	−	1.48654i	0.787387	−	0.0488771i
$926$	−14.1512	+	9.09440i	−0.465036	+	0.298861i
$927$	8.55755	−	3.90810i	0.281067	−	0.128359i
$928$	−2.90195	+	2.51455i	−0.0952612	+	0.0825443i
$929$	−0.650532	−	4.52455i	−0.0213433	−	0.148446i	0.976363	−	0.216137i	$-0.0693458\pi$
$929$	−0.650532	−	4.52455i	−0.0213433	−	0.148446i	−0.997706	+	0.0676913i	$0.978437\pi$
$930$	15.4458	−	45.6890i	0.506487	−	1.49820i
$931$	−29.9582	+	8.79653i	−0.981841	+	0.288295i
$932$	6.51818	+	22.1989i	0.213510	+	0.727148i
$933$	−19.8277	−	9.05502i	−0.649131	−	0.296448i
$934$	−2.68054	−	18.6435i	−0.0877098	−	0.610035i
$935$	−29.0586	+	30.9184i	−0.950319	+	1.01114i
$936$	2.38296	+	5.21796i	0.0778896	+	0.170554i
$937$	2.90788	+	4.52475i	0.0949963	+	0.147817i	0.885499	−	0.464642i	$-0.153817\pi$
$937$	2.90788	+	4.52475i	0.0949963	+	0.147817i	−0.790502	+	0.612459i	$0.790181\pi$
$938$	13.2901	+	1.91082i	0.433936	+	0.0623905i
$939$	41.3586	+	26.5796i	1.34969	+	0.867391i
$940$	11.2825	+	7.91250i	0.367996	+	0.258077i
$941$	−34.0729	−	10.0047i	−1.11075	−	0.326144i	−0.325632	−	0.945497i	$-0.605577\pi$
$941$	−34.0729	−	10.0047i	−1.11075	−	0.326144i	−0.785113	+	0.619352i	$0.787395\pi$
$942$			50.1514i			1.63402i
$943$	4.67573	−	17.4803i	0.152263	−	0.569238i
$944$	1.30489			0.0424706
$945$	3.39770	+	0.629522i	0.110527	+	0.0204784i
$946$	−4.20626	+	4.85429i	−0.136757	+	0.157827i
$947$	3.05738	−	4.75737i	0.0993514	−	0.154594i	−0.788019	−	0.615651i	$-0.788893\pi$
$947$	3.05738	−	4.75737i	0.0993514	−	0.154594i	0.887371	+	0.461057i	$0.152530\pi$
$948$	−18.2613	−	2.62557i	−0.593098	−	0.0852746i
$949$	−8.01394	+	5.15025i	−0.260144	+	0.167184i
$950$	19.9049	−	14.6106i	0.645802	−	0.474030i
$951$	−32.5013	−	37.5085i	−1.05393	−	1.21630i
$952$	3.18357	−	0.457728i	0.103180	−	0.0148351i
$953$	29.5781	+	13.5079i	0.958129	+	0.437563i	0.832200	−	0.554476i	$-0.187081\pi$
$953$	29.5781	+	13.5079i	0.958129	+	0.437563i	0.125930	+	0.992039i	$0.459809\pi$
$954$	−22.7156	+	6.66989i	−0.735443	+	0.215946i
$955$	10.7300	−	4.38553i	0.347216	−	0.141912i
$956$	5.43639	−	11.9040i	0.175825	−	0.385004i
$957$	−47.8573	+	6.88085i	−1.54701	+	0.222426i
$958$	4.65778	−	4.03599i	0.150486	−	0.130397i
$959$	−6.03811	−	13.2216i	−0.194981	−	0.426948i
$960$	−3.61699	−	4.53186i	−0.116738	−	0.146265i
$961$	−5.43442	+	37.7972i	−0.175304	+	1.21926i
$962$	3.99622	−	6.21824i	0.128843	−	0.200484i
$963$	−39.6129	−	34.3247i	−1.27651	−	1.10610i
$964$	−0.584949	−	0.171757i	−0.0188399	−	0.00553191i
$965$	3.80461	+	37.0253i	0.122475	+	1.19189i
$966$	6.51340	−	7.89559i	0.209565	−	0.254036i
$967$		−	9.73914i		−	0.313190i	−0.987663	−	0.156595i	$-0.949948\pi$
$967$		−	9.73914i		−	0.313190i	0.987663	−	0.156595i	$-0.0500517\pi$
$968$	3.54394	−	12.0695i	0.113906	−	0.387930i
$969$	32.7699	−	37.8185i	1.05272	−	1.21490i
$970$	22.6741	+	11.4835i	0.728022	+	0.368713i
$971$	3.76382	−	26.1780i	0.120787	−	0.840091i	−0.835881	−	0.548910i	$-0.815043\pi$
$971$	3.76382	−	26.1780i	0.120787	−	0.840091i	0.956668	−	0.291181i	$-0.0940481\pi$
$972$	11.8823	+	18.4893i	0.381126	+	0.593043i
$973$	0.277202	−	0.126594i	0.00888669	−	0.00405841i
$974$	−17.0126	−	19.6336i	−0.545119	−	0.629101i
$975$	6.80292	+	18.7768i	0.217868	+	0.601337i
$976$	−5.48782	+	12.0167i	−0.175661	+	0.384644i
$977$	4.46090	+	15.1924i	0.142717	+	0.486049i	0.999564	−	0.0295211i	$-0.00939822\pi$
$977$	4.46090	+	15.1924i	0.142717	+	0.486049i	−0.856847	+	0.515570i	$0.827580\pi$
$978$	−14.6467	−	49.8822i	−0.468351	−	1.59506i
$979$	11.0501	−	24.1964i	0.353164	−	0.773321i
$980$	3.43190	+	13.7149i	0.109628	+	0.438105i
$981$	−0.00183097	−	0.00211305i	−5.84584e−5	−	6.74646e-5i
$982$	22.8577	−	10.4388i	0.729418	−	0.333114i
$983$	−6.27372	−	9.76210i	−0.200101	−	0.311363i	0.726673	−	0.686984i	$-0.241066\pi$
$983$	−6.27372	−	9.76210i	−0.200101	−	0.311363i	−0.926773	+	0.375621i	$0.877429\pi$
$984$	−1.39238	+	9.68422i	−0.0443875	+	0.308722i
$985$	−0.709914	+	1.40172i	−0.0226197	+	0.0446626i
$986$	−9.82632	+	11.3402i	−0.312934	+	0.361145i
$987$	3.70563	−	12.6202i	0.117952	−	0.401706i
$988$		−	7.60669i		−	0.242001i
$989$	4.26924	+	4.69224i	0.135754	+	0.149205i
$990$	−4.13331	−	40.2241i	−0.131365	−	1.27841i
$991$	−13.9859	−	4.10664i	−0.444278	−	0.130452i	0.0519393	−	0.998650i	$-0.483460\pi$
$991$	−13.9859	−	4.10664i	−0.444278	−	0.130452i	−0.496217	+	0.868199i	$0.665278\pi$
$992$	6.28618	+	5.44700i	0.199586	+	0.172943i
$993$	−43.6704	+	67.9525i	−1.38584	+	2.15641i
$994$	1.17497	−	8.17208i	0.0372677	−	0.259203i
$995$	44.2503	−	35.3173i	1.40283	−	1.11963i
$996$	12.8427	+	28.1215i	0.406935	+	0.891064i
$997$	−24.9858	+	21.6503i	−0.791309	+	0.685673i	−0.953602	−	0.301069i	$-0.902656\pi$
$997$	−24.9858	+	21.6503i	−0.791309	+	0.685673i	0.162293	+	0.986743i	$0.448111\pi$
$998$	−13.7163	+	1.97210i	−0.434181	+	0.0624259i
$999$	−3.74290	+	8.19580i	−0.118420	+	0.259304i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.179.1	yes	120
5.4	even	2	inner	230.2.j.a.179.12	yes	120
23.9	even	11	inner	230.2.j.a.9.12	yes	120
115.9	even	22	inner	230.2.j.a.9.1	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.1	✓	120	115.9	even	22	inner
230.2.j.a.9.12	yes	120	23.9	even	11	inner
230.2.j.a.179.1	yes	120	1.1	even	1	trivial
230.2.j.a.179.12	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)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.95972 - 1.69811i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.0903172 + 2.23424i) q^{5} +(2.18144 - 1.40193i) q^{6} +(0.748675 - 0.341908i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.529991 + 3.68617i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-1.95972 - 1.69811i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.0903172 + 2.23424i) q^{5} +(2.18144 - 1.40193i) q^{6} +(0.748675 - 0.341908i) q^{7} +(0.755750 - 0.654861i) q^{8} +(0.529991 + 3.68617i) q^{9} +(-2.11830 - 0.716118i) q^{10} +(4.65913 - 1.36805i) q^{11} +(0.730556 + 2.48804i) q^{12} +(1.40114 + 0.639880i) q^{13} +(0.117133 + 0.814675i) q^{14} +(3.97098 - 4.22513i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.11270 + 3.28743i) q^{17} +(-3.68617 - 0.529991i) q^{18} +(4.15438 + 2.66986i) q^{19} +(1.28390 - 1.83074i) q^{20} +(-2.04779 - 0.601286i) q^{21} +4.85583i q^{22} +(4.76216 + 0.567295i) q^{23} -2.59308 q^{24} +(-4.98369 - 0.403581i) q^{25} +(-1.00871 + 1.16411i) q^{26} +(1.01510 - 1.57953i) q^{27} +(-0.814675 - 0.117133i) q^{28} +(3.23027 - 2.07597i) q^{29} +(2.93522 + 5.00049i) q^{30} +(-5.44700 - 6.28618i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-11.4537 - 5.23073i) q^{33} +(-3.74949 + 1.10095i) q^{34} +(0.696288 + 1.70360i) q^{35} +(1.54704 - 3.38754i) q^{36} +(-4.74986 + 0.682927i) q^{37} +(-3.73214 + 3.23391i) q^{38} +(-1.65926 - 3.63328i) q^{39} +(1.39486 + 1.74767i) q^{40} +(0.536960 - 3.73464i) q^{41} +(1.15386 - 1.79544i) q^{42} +(0.999683 + 0.866230i) q^{43} +(-4.65913 - 1.36805i) q^{44} +(-8.28367 + 0.851205i) q^{45} +(-1.88597 + 4.40943i) q^{46} +6.16285i q^{47} +(0.730556 - 2.48804i) q^{48} +(-4.14041 + 4.77829i) q^{49} +(1.79130 - 4.66811i) q^{50} +(1.44210 - 10.0301i) q^{51} +(-0.832770 - 1.29582i) q^{52} +(5.78267 - 2.64086i) q^{53} +(1.22956 + 1.41899i) q^{54} +(2.63575 + 10.5332i) q^{55} +(0.341908 - 0.748675i) q^{56} +(-3.60772 - 12.2868i) q^{57} +(1.08181 + 3.68429i) q^{58} +(0.542072 - 1.18697i) q^{59} +(-5.62488 + 1.40753i) q^{60} +(8.65101 + 9.98380i) q^{61} +(7.56614 - 3.45534i) q^{62} +(1.65712 + 2.57853i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-1.55619 + 3.07270i) q^{65} +(8.24572 - 9.51607i) q^{66} +(4.59599 - 15.6525i) q^{67} -3.90778i q^{68} +(-8.36918 - 9.19840i) q^{69} +(-1.83076 + 0.188123i) q^{70} +(-9.62477 - 2.82609i) q^{71} +(2.81447 + 2.43875i) q^{72} +(-3.34358 + 5.20271i) q^{73} +(0.682927 - 4.74986i) q^{74} +(9.08131 + 9.25374i) q^{75} +(-2.05145 - 4.49206i) q^{76} +(3.02043 - 2.61722i) q^{77} +(3.95357 - 0.568438i) q^{78} +(-2.95556 + 6.47177i) q^{79} +(-2.06986 + 0.845983i) q^{80} +(6.04814 - 1.77590i) q^{81} +(3.43208 + 1.56738i) q^{82} +(11.8009 - 1.69671i) q^{83} +(1.39763 + 1.61295i) q^{84} +(-7.53574 + 4.42338i) q^{85} +(-1.11278 + 0.715143i) q^{86} +(-9.85565 - 1.41703i) q^{87} +(2.62526 - 4.08498i) q^{88} +(3.58733 - 4.14000i) q^{89} +(1.51705 - 8.18794i) q^{90} +1.26778 q^{91} +(-3.69948 - 3.05186i) q^{92} +21.5688i q^{93} +(-5.91321 - 1.73627i) q^{94} +(-6.34033 + 9.04077i) q^{95} +(2.18144 + 1.40193i) q^{96} +(-11.2508 - 1.61762i) q^{97} +(-3.41825 - 5.31890i) q^{98} +(7.51215 + 16.4493i) 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

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