LMFDB - Embedded newform 230.2.j.a.29.5

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			29.5
Character	$\chi$	$=$	230.29
Dual form			230.2.j.a.119.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.909632 - 0.415415i) q^{2} +(0.537451 - 1.83039i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-0.575877 - 2.16064i) q^{5} +(-1.24925 + 1.44172i) q^{6} +(2.93634 + 0.422181i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-0.537711 - 0.345566i) q^{9} +O(q^{10})$	\(q+(-0.909632 - 0.415415i) q^{2} +(0.537451 - 1.83039i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-0.575877 - 2.16064i) q^{5} +(-1.24925 + 1.44172i) q^{6} +(2.93634 + 0.422181i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-0.537711 - 0.345566i) q^{9} +(-0.373726 + 2.20462i) q^{10} +(-1.22793 - 2.68879i) q^{11} +(1.73527 - 0.792472i) q^{12} +(-1.87656 + 0.269809i) q^{13} +(-2.49560 - 1.60383i) q^{14} +(-4.26432 - 0.107159i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-0.719853 - 0.623756i) q^{17} +(0.345566 + 0.537711i) q^{18} +(0.167681 + 0.193515i) q^{19} +(1.25578 - 1.85014i) q^{20} +(2.35089 - 5.14774i) q^{21} +2.95591i q^{22} +(-4.04295 + 2.57964i) q^{23} -1.90766 q^{24} +(-4.33673 + 2.48853i) q^{25} +(1.81906 + 0.534125i) q^{26} +(3.40363 - 2.94926i) q^{27} +(1.60383 + 2.49560i) q^{28} +(-0.0268070 + 0.0309369i) q^{29} +(3.83445 + 1.86894i) q^{30} +(5.13506 - 1.50779i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-5.58149 + 0.802497i) q^{33} +(0.395684 + 0.866426i) q^{34} +(-0.778786 - 6.58749i) q^{35} +(-0.0909646 - 0.632673i) q^{36} +(2.00856 - 3.12538i) q^{37} +(-0.0721395 - 0.245685i) q^{38} +(-0.514704 + 3.57985i) q^{39} +(-1.91088 + 1.16127i) q^{40} +(7.88484 - 5.06728i) q^{41} +(-4.27689 + 3.70595i) q^{42} +(-3.10755 + 10.5833i) q^{43} +(1.22793 - 2.68879i) q^{44} +(-0.436988 + 1.36080i) q^{45} +(4.74922 - 0.667022i) q^{46} +8.07309i q^{47} +(1.73527 + 0.792472i) q^{48} +(1.72738 + 0.507204i) q^{49} +(4.97860 - 0.462099i) q^{50} +(-1.52860 + 0.982373i) q^{51} +(-1.43279 - 1.24152i) q^{52} +(12.5053 + 1.79799i) q^{53} +(-4.32122 + 1.26883i) q^{54} +(-5.10237 + 4.20153i) q^{55} +(-0.422181 - 2.93634i) q^{56} +(0.444328 - 0.202918i) q^{57} +(0.0372362 - 0.0170052i) q^{58} +(0.794391 + 5.52511i) q^{59} +(-2.71155 - 3.29293i) q^{60} +(8.08881 - 2.37509i) q^{61} +(-5.29738 - 0.761648i) q^{62} +(-1.43301 - 1.24171i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(1.66363 + 3.89920i) q^{65} +(5.41047 + 1.58866i) q^{66} +(5.22758 + 2.38735i) q^{67} -0.952502i q^{68} +(2.54886 + 8.78660i) q^{69} +(-2.02813 + 6.31571i) q^{70} +(-5.95566 + 13.0411i) q^{71} +(-0.180077 + 0.613288i) q^{72} +(0.785633 - 0.680754i) q^{73} +(-3.12538 + 2.00856i) q^{74} +(2.22419 + 9.27537i) q^{75} +(-0.0364407 + 0.253450i) q^{76} +(-2.47046 - 8.41360i) q^{77} +(1.95531 - 3.04253i) q^{78} +(-0.123952 - 0.862106i) q^{79} +(2.22060 - 0.262524i) q^{80} +(-4.36559 - 9.55931i) q^{81} +(-9.27732 + 1.33388i) q^{82} +(6.11445 - 9.51428i) q^{83} +(5.42991 - 1.59436i) q^{84} +(-0.933166 + 1.91455i) q^{85} +(7.22320 - 8.33602i) q^{86} +(0.0422192 + 0.0656944i) q^{87} +(-2.23393 + 1.93571i) q^{88} +(-15.5804 - 4.57482i) q^{89} +(0.962797 - 1.05630i) q^{90} -5.62412 q^{91} +(-4.59713 - 1.36615i) q^{92} -10.2095i q^{93} +(3.35368 - 7.34354i) q^{94} +(0.321552 - 0.473740i) q^{95} +(-1.24925 - 1.44172i) q^{96} +(1.81420 + 2.82294i) q^{97} +(-1.36058 - 1.17895i) q^{98} +(-0.268883 + 1.87012i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{9}{11}\right)$

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 $

$2$	−0.909632	−	0.415415i	−0.643207	−	0.293743i
$2$	−0.909632	−	0.415415i	−0.643207	−	0.293743i
$3$	0.537451	−	1.83039i	0.310297	−	1.05678i	−0.645746	−	0.763552i	$-0.723454\pi$
$3$	0.537451	−	1.83039i	0.310297	−	1.05678i	0.956044	−	0.293224i	$-0.0947281\pi$
$4$	0.654861	+	0.755750i	0.327430	+	0.377875i
$5$	−0.575877	−	2.16064i	−0.257540	−	0.966268i
$5$	−0.575877	−	2.16064i	−0.257540	−	0.966268i
$6$	−1.24925	+	1.44172i	−0.510006	+	0.588578i
$7$	2.93634	+	0.422181i	1.10983	+	0.159570i	0.672762	−	0.739859i	$-0.265108\pi$
$7$	2.93634	+	0.422181i	1.10983	+	0.159570i	0.437068	+	0.899428i	$0.356017\pi$
$8$	−0.281733	−	0.959493i	−0.0996075	−	0.339232i
$9$	−0.537711	−	0.345566i	−0.179237	−	0.115189i
$10$	−0.373726	+	2.20462i	−0.118183	+	0.697161i
$11$	−1.22793	−	2.68879i	−0.370235	−	0.810701i	−0.999440	−	0.0334618i	$-0.989347\pi$
$11$	−1.22793	−	2.68879i	−0.370235	−	0.810701i	0.629205	−	0.777239i	$-0.283380\pi$
$12$	1.73527	−	0.792472i	0.500930	−	0.228767i
$13$	−1.87656	+	0.269809i	−0.520464	+	0.0748315i	−0.397540	−	0.917585i	$-0.630136\pi$
$13$	−1.87656	+	0.269809i	−0.520464	+	0.0748315i	−0.122924	+	0.992416i	$0.539227\pi$
$14$	−2.49560	−	1.60383i	−0.666978	−	0.428641i
$15$	−4.26432	−	0.107159i	−1.10104	−	0.0276682i
$16$	−0.142315	+	0.989821i	−0.0355787	+	0.247455i
$17$	−0.719853	−	0.623756i	−0.174590	−	0.151283i	0.563182	−	0.826333i	$-0.309577\pi$
$17$	−0.719853	−	0.623756i	−0.174590	−	0.151283i	−0.737772	+	0.675049i	$0.764122\pi$
$18$	0.345566	+	0.537711i	0.0814507	+	0.126740i
$19$	0.167681	+	0.193515i	0.0384688	+	0.0443953i	0.774658	−	0.632381i	$-0.217922\pi$
$19$	0.167681	+	0.193515i	0.0384688	+	0.0443953i	−0.736189	+	0.676776i	$0.763377\pi$
$20$	1.25578	−	1.85014i	0.280802	−	0.413703i
$21$	2.35089	−	5.14774i	0.513007	−	1.12333i
$22$			2.95591i			0.630202i
$23$	−4.04295	+	2.57964i	−0.843014	+	0.537892i
$23$	−4.04295	+	2.57964i	−0.843014	+	0.537892i
$24$	−1.90766			−0.389400
$25$	−4.33673	+	2.48853i	−0.867346	+	0.497705i
$26$	1.81906	+	0.534125i	0.356747	+	0.104751i
$27$	3.40363	−	2.94926i	0.655029	−	0.567586i
$28$	1.60383	+	2.49560i	0.303095	+	0.471625i
$29$	−0.0268070	+	0.0309369i	−0.00497794	+	0.00574485i	−0.758233	−	0.651984i	$-0.773937\pi$
$29$	−0.0268070	+	0.0309369i	−0.00497794	+	0.00574485i	0.753255	+	0.657728i	$0.228483\pi$
$30$	3.83445	+	1.86894i	0.700071	+	0.341220i
$31$	5.13506	−	1.50779i	0.922285	−	0.270807i	0.214081	−	0.976816i	$-0.431324\pi$
$31$	5.13506	−	1.50779i	0.922285	−	0.270807i	0.708203	+	0.706009i	$0.249506\pi$
$32$	0.540641	−	0.841254i	0.0955727	−	0.148714i
$33$	−5.58149	+	0.802497i	−0.971612	+	0.139697i
$34$	0.395684	+	0.866426i	0.0678592	+	0.148591i
$35$	−0.778786	−	6.58749i	−0.131639	−	1.11349i
$36$	−0.0909646	−	0.632673i	−0.0151608	−	0.105445i
$37$	2.00856	−	3.12538i	0.330205	−	0.513809i	−0.635964	−	0.771719i	$-0.719397\pi$
$37$	2.00856	−	3.12538i	0.330205	−	0.513809i	0.966169	+	0.257909i	$0.0830336\pi$
$38$	−0.0721395	−	0.245685i	−0.0117026	−	0.0398553i
$39$	−0.514704	+	3.57985i	−0.0824186	+	0.573234i
$40$	−1.91088	+	1.16127i	−0.302136	+	0.183613i
$41$	7.88484	−	5.06728i	1.23140	−	0.791376i	0.247295	−	0.968940i	$-0.420458\pi$
$41$	7.88484	−	5.06728i	1.23140	−	0.791376i	0.984109	+	0.177564i	$0.0568218\pi$
$42$	−4.27689	+	3.70595i	−0.659939	+	0.571840i
$43$	−3.10755	+	10.5833i	−0.473897	+	1.61394i	0.282111	+	0.959382i	$0.408965\pi$
$43$	−3.10755	+	10.5833i	−0.473897	+	1.61394i	−0.756008	+	0.654563i	$0.772853\pi$
$44$	1.22793	−	2.68879i	0.185117	−	0.405351i
$45$	−0.436988	+	1.36080i	−0.0651424	+	0.202857i
$46$	4.74922	−	0.667022i	0.700234	−	0.0983470i
$47$			8.07309i			1.17758i	0.808286	+	0.588790i	$0.200396\pi$
$47$			8.07309i			1.17758i	−0.808286	+	0.588790i	$0.799604\pi$
$48$	1.73527	+	0.792472i	0.250465	+	0.114383i
$49$	1.72738	+	0.507204i	0.246768	+	0.0724577i
$50$	4.97860	−	0.462099i	0.704080	−	0.0653507i
$51$	−1.52860	+	0.982373i	−0.214047	+	0.137560i
$52$	−1.43279	−	1.24152i	−0.198693	−	0.172168i
$53$	12.5053	+	1.79799i	1.71773	+	0.246972i	0.929609	−	0.368547i	$-0.120145\pi$
$53$	12.5053	+	1.79799i	1.71773	+	0.246972i	0.788122	+	0.615520i	$0.211054\pi$
$54$	−4.32122	+	1.26883i	−0.588044	+	0.172665i
$55$	−5.10237	+	4.20153i	−0.688004	+	0.566534i
$56$	−0.422181	−	2.93634i	−0.0564163	−	0.392384i
$57$	0.444328	−	0.202918i	0.0588526	−	0.0268771i
$58$	0.0372362	−	0.0170052i	0.00488935	−	0.00223289i
$59$	0.794391	+	5.52511i	0.103421	+	0.719308i	0.973879	+	0.227066i	$0.0729134\pi$
$59$	0.794391	+	5.52511i	0.103421	+	0.719308i	−0.870458	+	0.492242i	$0.836178\pi$
$60$	−2.71155	−	3.29293i	−0.350060	−	0.425116i
$61$	8.08881	−	2.37509i	1.03567	−	0.304099i	0.280653	−	0.959809i	$-0.409449\pi$
$61$	8.08881	−	2.37509i	1.03567	−	0.304099i	0.755012	+	0.655710i	$0.227631\pi$
$62$	−5.29738	−	0.761648i	−0.672767	−	0.0967294i
$63$	−1.43301	−	1.24171i	−0.180542	−	0.156441i
$64$	−0.841254	+	0.540641i	−0.105157	+	0.0675801i
$65$	1.66363	+	3.89920i	0.206348	+	0.483636i
$66$	5.41047	+	1.58866i	0.665983	+	0.195550i
$67$	5.22758	+	2.38735i	0.638650	+	0.291662i	0.708302	−	0.705910i	$-0.249462\pi$
$67$	5.22758	+	2.38735i	0.638650	+	0.291662i	−0.0696517	+	0.997571i	$0.522189\pi$
$68$		−	0.952502i		−	0.115508i
$69$	2.54886	+	8.78660i	0.306847	+	1.05778i
$70$	−2.02813	+	6.31571i	−0.242408	+	0.754872i
$71$	−5.95566	+	13.0411i	−0.706807	+	1.54769i	0.124712	+	0.992193i	$0.460199\pi$
$71$	−5.95566	+	13.0411i	−0.706807	+	1.54769i	−0.831518	+	0.555498i	$0.812528\pi$
$72$	−0.180077	+	0.613288i	−0.0212223	+	0.0722766i
$73$	0.785633	−	0.680754i	0.0919513	−	0.0796763i	−0.607672	−	0.794188i	$-0.707897\pi$
$73$	0.785633	−	0.680754i	0.0919513	−	0.0796763i	0.699624	+	0.714512i	$0.253351\pi$
$74$	−3.12538	+	2.00856i	−0.363318	+	0.233490i
$75$	2.22419	+	9.27537i	0.256828	+	1.07103i
$76$	−0.0364407	+	0.253450i	−0.00418003	+	0.0290727i
$77$	−2.47046	−	8.41360i	−0.281535	−	0.958819i
$78$	1.95531	−	3.04253i	0.221396	−	0.344498i
$79$	−0.123952	−	0.862106i	−0.0139457	−	0.0969945i	0.981660	−	0.190641i	$-0.0610567\pi$
$79$	−0.123952	−	0.862106i	−0.0139457	−	0.0969945i	−0.995605	+	0.0936467i	$0.970148\pi$
$80$	2.22060	−	0.262524i	0.248271	−	0.0293511i
$81$	−4.36559	−	9.55931i	−0.485066	−	1.06215i
$82$	−9.27732	+	1.33388i	−1.02451	+	0.147302i
$83$	6.11445	−	9.51428i	0.671149	−	1.04433i	−0.324011	−	0.946053i	$-0.605031\pi$
$83$	6.11445	−	9.51428i	0.671149	−	1.04433i	0.995159	−	0.0982742i	$-0.0313322\pi$
$84$	5.42991	−	1.59436i	0.592451	−	0.173959i
$85$	−0.933166	+	1.91455i	−0.101216	+	0.207662i
$86$	7.22320	−	8.33602i	0.778898	−	0.898896i
$87$	0.0422192	+	0.0656944i	0.00452637	+	0.00704318i
$88$	−2.23393	+	1.93571i	−0.238138	+	0.206347i
$89$	−15.5804	−	4.57482i	−1.65152	−	0.484930i	−0.682288	−	0.731083i	$-0.739015\pi$
$89$	−15.5804	−	4.57482i	−1.65152	−	0.484930i	−0.969231	+	0.246153i	$0.920833\pi$
$90$	0.962797	−	1.05630i	0.101488	−	0.111344i
$91$	−5.62412			−0.589568
$92$	−4.59713	−	1.36615i	−0.479284	−	0.142431i
$93$		−	10.2095i		−	1.05868i
$94$	3.35368	−	7.34354i	0.345906	−	0.757428i
$95$	0.321552	−	0.473740i	0.0329905	−	0.0486047i
$96$	−1.24925	−	1.44172i	−0.127501	−	0.147144i
$97$	1.81420	+	2.82294i	0.184204	+	0.286626i	0.921058	−	0.389425i	$-0.127326\pi$
$97$	1.81420	+	2.82294i	0.184204	+	0.286626i	−0.736855	+	0.676051i	$0.763690\pi$
$98$	−1.36058	−	1.17895i	−0.137439	−	0.119092i
$99$	−0.268883	+	1.87012i	−0.0270238	+	0.187955i
$100$	−4.72066	−	1.64785i	−0.472066	−	0.164785i
$101$	−0.243652	−	0.156585i	−0.0242443	−	0.0155808i	0.528463	−	0.848957i	$-0.322769\pi$
$101$	−0.243652	−	0.156585i	−0.0242443	−	0.0155808i	−0.552707	+	0.833376i	$0.686405\pi$
$102$	1.79856	−	0.258594i	0.178084	−	0.0256046i
$103$	−8.77628	+	4.00799i	−0.864753	+	0.394919i	−0.797861	−	0.602841i	$-0.794035\pi$
$103$	−8.77628	+	4.00799i	−0.864753	+	0.394919i	−0.0668915	+	0.997760i	$0.521308\pi$
$104$	0.787568	+	1.72453i	0.0772274	+	0.169104i
$105$	−12.4762	−	2.11497i	−1.21756	−	0.206400i
$106$	−10.6283	−	6.83038i	−1.03231	−	0.663425i
$107$	−4.41635	−	15.0407i	−0.426944	−	1.45404i	−0.839627	−	0.543164i	$-0.817226\pi$
$107$	−4.41635	−	15.0407i	−0.426944	−	1.45404i	0.412683	−	0.910875i	$-0.364592\pi$
$108$	4.45781	+	0.640936i	0.428953	+	0.0616741i
$109$	4.51086	−	5.20580i	0.432062	−	0.498626i	−0.497412	−	0.867514i	$-0.665716\pi$
$109$	4.51086	−	5.20580i	0.432062	−	0.498626i	0.929474	+	0.368889i	$0.120262\pi$
$110$	6.38666	−	1.70224i	0.608944	−	0.162302i
$111$	−4.64116	−	5.35619i	−0.440520	−	0.508387i
$112$	−0.835768	+	2.84636i	−0.0789727	+	0.268956i
$113$	9.78064	+	4.46667i	0.920085	+	0.420189i	0.818414	−	0.574629i	$-0.194854\pi$
$113$	9.78064	+	4.46667i	0.920085	+	0.420189i	0.101671	+	0.994818i	$0.467581\pi$
$114$	−0.488470			−0.0457494
$115$	7.90192	+	7.24981i	0.736858	+	0.676048i
$116$	−0.0409355			−0.00380076
$117$	1.10228	+	0.503397i	0.101906	+	0.0465390i
$118$	1.57261	−	5.35582i	0.144771	−	0.493043i
$119$	−1.85039	−	2.13547i	−0.169625	−	0.195758i
$120$	1.09858	+	4.12177i	0.100286	+	0.376265i
$121$	1.48168	−	1.70995i	0.134698	−	0.155450i
$122$	−8.34448	−	1.19976i	−0.755474	−	0.108621i
$123$	−5.03738	−	17.1557i	−0.454205	−	1.54688i
$124$	4.50226	+	2.89343i	0.404315	+	0.259838i
$125$	7.87423	+	7.93703i	0.704293	+	0.709910i
$126$	0.787686	+	1.72479i	0.0701727	+	0.153657i
$127$	1.59832	−	0.729926i	0.141828	−	0.0647705i	−0.343237	−	0.939249i	$-0.611523\pi$
$127$	1.59832	−	0.729926i	0.141828	−	0.0647705i	0.485065	+	0.874478i	$0.338796\pi$
$128$	0.989821	−	0.142315i	0.0874887	−	0.0125790i
$129$	17.7015	+	11.3761i	1.55853	+	1.00161i
$130$	0.106496	−	4.23793i	0.00934028	−	0.371691i
$131$	−0.739637	+	5.14428i	−0.0646223	+	0.449458i	0.931661	+	0.363327i	$0.118359\pi$
$131$	−0.739637	+	5.14428i	−0.0646223	+	0.449458i	−0.996284	+	0.0861308i	$0.972550\pi$
$132$	−4.26158	−	3.69268i	−0.370923	−	0.321407i
$133$	0.410671	+	0.639016i	0.0356097	+	0.0554097i
$134$	−3.76343	−	4.34323i	−0.325111	−	0.375198i
$135$	−8.33237	−	5.65561i	−0.717137	−	0.486758i
$136$	−0.395684	+	0.866426i	−0.0339296	+	0.0742954i
$137$			3.53527i			0.302038i	0.988531	+	0.151019i	$0.0482555\pi$
$137$			3.53527i			0.302038i	−0.988531	+	0.151019i	$0.951744\pi$
$138$	1.33156	−	9.05141i	0.113350	−	0.770507i
$139$	−18.7922			−1.59393			−0.796967	−	0.604023i	$-0.793564\pi$
$139$	−18.7922			−1.59393			−0.796967	+	0.604023i	$0.793564\pi$
$140$	4.46849	−	4.90245i	0.377657	−	0.414333i
$141$	14.7769	+	4.33889i	1.24444	+	0.365400i
$142$	10.8349	−	9.38851i	0.909246	−	0.787866i
$143$	3.02974	+	4.71437i	0.253360	+	0.394236i
$144$	0.418573	−	0.483059i	0.0348811	−	0.0402549i
$145$	0.0822812	+	0.0401044i	0.00683308	+	0.00333049i
$146$	−0.997432	+	0.292872i	−0.0825481	+	0.0242383i
$147$	1.85676	−	2.88918i	0.153143	−	0.238295i
$148$	3.67733	−	0.528721i	0.302275	−	0.0434606i
$149$	−6.53477	−	14.3091i	−0.535349	−	1.17225i	−0.963295	−	0.268446i	$-0.913490\pi$
$149$	−6.53477	−	14.3091i	−0.535349	−	1.17225i	0.427946	−	0.903804i	$-0.359237\pi$
$150$	1.82993	−	9.36113i	0.149413	−	0.764333i
$151$	2.82587	+	19.6544i	0.229966	+	1.59945i	0.698239	+	0.715865i	$0.253967\pi$
$151$	2.82587	+	19.6544i	0.229966	+	1.59945i	−0.468272	+	0.883584i	$0.655123\pi$
$152$	0.138435	−	0.215409i	0.0112285	−	0.0174719i
$153$	0.171524	+	0.584157i	0.0138669	+	0.0472263i
$154$	−1.24793	+	8.67955i	−0.100561	+	0.699418i
$155$	−6.21496	−	10.2267i	−0.499197	−	0.821430i
$156$	−3.04253	+	1.95531i	−0.243597	+	0.156550i
$157$	−1.59778	+	1.38448i	−0.127517	+	0.110494i	−0.716284	−	0.697808i	$-0.754159\pi$
$157$	−1.59778	+	1.38448i	−0.127517	+	0.110494i	0.588768	+	0.808302i	$0.299613\pi$
$158$	−0.245381	+	0.835691i	−0.0195215	+	0.0664840i
$159$	10.0120	−	21.9232i	0.794002	−	1.73862i
$160$	−2.12899	−	0.683672i	−0.168311	−	0.0540490i
$161$	−12.9605	+	5.86783i	−1.02143	+	0.462450i
$162$			10.5090i			0.825664i
$163$	−6.14991	−	2.80857i	−0.481698	−	0.219984i	0.159740	−	0.987159i	$-0.448934\pi$
$163$	−6.14991	−	2.80857i	−0.481698	−	0.219984i	−0.641438	+	0.767175i	$0.721662\pi$
$164$	8.99306	+	2.64060i	0.702240	+	0.206196i
$165$	4.94816	+	11.5974i	0.385213	+	0.902860i
$166$	−9.51428	+	6.11445i	−0.738451	+	0.474574i
$167$	14.0030	+	12.1337i	1.08358	+	0.938931i	0.998350	−	0.0574296i	$-0.0182905\pi$
$167$	14.0030	+	12.1337i	1.08358	+	0.938931i	0.0852349	+	0.996361i	$0.472836\pi$
$168$	−5.60154	−	0.805380i	−0.432168	−	0.0621364i
$169$	−9.02473	+	2.64990i	−0.694210	+	0.203838i
$170$	1.64417	−	1.35388i	0.126102	−	0.103838i
$171$	−0.0232921	−	0.162000i	−0.00178119	−	0.0123885i
$172$	−10.0334	+	4.58209i	−0.765037	+	0.349381i
$173$	−16.7785	+	7.66249i	−1.27565	+	0.582568i	−0.934004	−	0.357262i	$-0.883710\pi$
$173$	−16.7785	+	7.66249i	−1.27565	+	0.582568i	−0.341642	+	0.939830i	$0.610983\pi$
$174$	−0.0111135	−	0.0772962i	−0.000842513	−	0.00585981i
$175$	−13.7847	+	5.47626i	−1.04203	+	0.413966i
$176$	2.83618	−	0.832776i	0.213785	−	0.0627729i
$177$	10.5401	+	1.51543i	0.792239	+	0.113907i
$178$	12.2720	+	10.6337i	0.919824	+	0.797032i
$179$	−20.7148	+	13.3126i	−1.54830	+	0.995030i	−0.562556	+	0.826759i	$0.690182\pi$
$179$	−20.7148	+	13.3126i	−1.54830	+	0.995030i	−0.985741	+	0.168271i	$0.946182\pi$
$180$	−1.31459	+	0.560884i	−0.0979840	+	0.0418058i
$181$	4.53803	+	1.33249i	0.337309	+	0.0990429i	0.446001	−	0.895033i	$-0.352848\pi$
$181$	4.53803	+	1.33249i	0.337309	+	0.0990429i	−0.108692	+	0.994076i	$0.534666\pi$
$182$	5.11588	+	2.33634i	0.379214	+	0.173181i
$183$		−	16.0822i		−	1.18883i
$184$	3.61418	+	3.15241i	0.266441	+	0.232399i
$185$	−7.90951	−	2.53994i	−0.581519	−	0.186740i
$186$	−4.24119	+	9.28691i	−0.310979	+	0.680950i
$187$	−0.793221	+	2.70146i	−0.0580061	+	0.197551i
$188$	−6.10123	+	5.28675i	−0.444978	+	0.385576i
$189$	11.2393	−	7.22308i	0.817541	−	0.525402i
$190$	−0.489292	+	0.297352i	−0.0354970	+	0.0215721i
$191$	−1.33212	+	9.26507i	−0.0963885	+	0.670397i	0.883143	+	0.469105i	$0.155423\pi$
$191$	−1.33212	+	9.26507i	−0.0963885	+	0.670397i	−0.979531	+	0.201292i	$0.935486\pi$
$192$	0.537451	+	1.83039i	0.0387872	+	0.132097i
$193$	−10.9915	+	17.1030i	−0.791182	+	1.23110i	0.177823	+	0.984062i	$0.443095\pi$
$193$	−10.9915	+	17.1030i	−0.791182	+	1.23110i	−0.969005	+	0.247041i	$0.920542\pi$
$194$	−0.477557	−	3.32148i	−0.0342866	−	0.238469i
$195$	8.03116	−	0.949460i	0.575124	−	0.0679923i
$196$	0.747872	+	1.63761i	0.0534195	+	0.116972i
$197$	5.50214	−	0.791089i	0.392011	−	0.0563627i	0.0565091	−	0.998402i	$-0.482003\pi$
$197$	5.50214	−	0.791089i	0.392011	−	0.0563627i	0.335502	+	0.942039i	$0.391094\pi$
$198$	1.02146	−	1.58943i	0.0725922	−	0.112956i
$199$	26.0943	−	7.66198i	1.84978	−	0.543143i	0.849907	−	0.526932i	$-0.176658\pi$
$199$	26.0943	−	7.66198i	1.84978	−	0.543143i	0.999869	−	0.0162109i	$-0.00516030\pi$
$200$	3.60952	+	3.45996i	0.255232	+	0.244656i
$201$	7.17936	−	8.28542i	0.506393	−	0.584408i
$202$	0.156585	+	0.243652i	0.0110173	+	0.0171433i
$203$	−0.0917754	+	0.0795238i	−0.00644137	+	0.00558148i
$204$	−1.74345	−	0.511923i	−0.122066	−	0.0358418i
$205$	−15.4893	−	14.1182i	−1.08182	−	0.986055i
$206$	9.64817			0.672220
$207$	3.06538	+	0.0100043i	0.213058	+	0.000695348i
$208$		−	1.89586i		−	0.131454i
$209$	0.314420	−	0.688483i	0.0217489	−	0.0476233i
$210$	10.4702	+	7.10666i	0.722511	+	0.490406i
$211$	−6.20313	−	7.15880i	−0.427041	−	0.492832i	0.500928	−	0.865489i	$-0.332992\pi$
$211$	−6.20313	−	7.15880i	−0.427041	−	0.492832i	−0.927969	+	0.372657i	$0.878447\pi$
$212$	6.83038	+	10.6283i	0.469112	+	0.729953i
$213$	20.6694	+	17.9101i	1.41624	+	1.22718i
$214$	−2.23088	+	15.5161i	−0.152500	+	1.06066i
$215$	24.6564	+	0.619593i	1.68155	+	0.0422559i
$216$	−3.78871	−	2.43486i	−0.257789	−	0.165671i
$217$	15.7148	−	2.25945i	1.06679	−	0.153382i
$218$	−6.26579	+	2.86149i	−0.424373	+	0.193805i
$219$	−0.823807	−	1.80389i	−0.0556677	−	0.121895i
$220$	−6.51665	−	1.10470i	−0.439352	−	0.0744790i
$221$	1.51914	+	0.976294i	0.102189	+	0.0656726i
$222$	1.99671	+	6.80017i	0.134010	+	0.456397i
$223$	2.74318	+	0.394410i	0.183697	+	0.0264116i	0.233549	−	0.972345i	$-0.424966\pi$
$223$	2.74318	+	0.394410i	0.183697	+	0.0264116i	−0.0498523	+	0.998757i	$0.515875\pi$
$224$	1.94266	−	2.24195i	0.129800	−	0.149797i
$225$	3.19186	+	0.160519i	0.212791	+	0.0107013i
$226$	−7.04126	−	8.12605i	−0.468378	−	0.540537i
$227$	−1.37919	+	4.69707i	−0.0915398	+	0.311756i	−0.992516	−	0.122112i	$-0.961033\pi$
$227$	−1.37919	+	4.69707i	−0.0915398	+	0.311756i	0.900977	+	0.433868i	$0.142851\pi$
$228$	0.444328	+	0.202918i	0.0294263	+	0.0134386i
$229$	18.3691			1.21386			0.606932	−	0.794754i	$-0.292400\pi$
$229$	18.3691			1.21386			0.606932	+	0.794754i	$0.292400\pi$
$230$	−4.17616	−	9.87723i	−0.275368	−	0.651285i
$231$	−16.7279			−1.10062
$232$	0.0372362	+	0.0170052i	0.00244468	+	0.00111645i
$233$	6.00281	−	20.4437i	0.393257	−	1.33931i	−0.490531	−	0.871424i	$-0.663197\pi$
$233$	6.00281	−	20.4437i	0.393257	−	1.33931i	0.883788	−	0.467887i	$-0.154985\pi$
$234$	−0.793555	−	0.915811i	−0.0518763	−	0.0598685i
$235$	17.4430	−	4.64910i	1.13786	−	0.303274i
$236$	−3.65539	+	4.21854i	−0.237945	+	0.274604i
$237$	−1.64461	−	0.236459i	−0.106829	−	0.0153597i
$238$	0.796071	+	2.71117i	0.0516016	+	0.175739i
$239$	−0.909109	−	0.584249i	−0.0588054	−	0.0377919i	0.510908	−	0.859636i	$-0.329309\pi$
$239$	−0.909109	−	0.584249i	−0.0588054	−	0.0377919i	−0.569713	+	0.821844i	$0.692946\pi$
$240$	0.712944	−	4.20566i	0.0460203	−	0.271474i
$241$	−6.08250	−	13.3188i	−0.391809	−	0.857941i	−0.998036	−	0.0626494i	$-0.980045\pi$
$241$	−6.08250	−	13.3188i	−0.391809	−	0.857941i	0.606227	−	0.795292i	$-0.292682\pi$
$242$	−2.05812	+	0.939914i	−0.132301	+	0.0604200i
$243$	−6.47012	+	0.930263i	−0.415058	+	0.0596764i
$244$	7.09201	+	4.55776i	0.454020	+	0.291781i
$245$	0.101128	−	4.02433i	0.00646082	−	0.257105i
$246$	−2.54459	+	17.6980i	−0.162237	+	1.12838i
$247$	−0.366876	−	0.317900i	−0.0233438	−	0.0202275i
$248$	−2.89343	−	4.50226i	−0.183733	−	0.285894i
$249$	−14.1286	−	16.3053i	−0.895365	−	1.03331i
$250$	−3.86549	−	10.4909i	−0.244475	−	0.663500i
$251$	4.64552	−	10.1723i	0.293223	−	0.642068i	−0.704487	−	0.709717i	$-0.748823\pi$
$251$	4.64552	−	10.1723i	0.293223	−	0.642068i	0.997709	+	0.0676494i	$0.0215499\pi$
$252$		−	1.89614i		−	0.119446i
$253$	11.9006	+	7.70303i	0.748183	+	0.484285i
$254$	−1.75710			−0.110250
$255$	3.00284	+	2.73703i	0.188045	+	0.171400i
$256$	−0.959493	−	0.281733i	−0.0599683	−	0.0176083i
$257$	−22.6797	+	19.6521i	−1.41472	+	1.22586i	−0.476800	+	0.879012i	$0.658203\pi$
$257$	−22.6797	+	19.6521i	−1.41472	+	1.22586i	−0.937920	+	0.346851i	$0.887251\pi$
$258$	−11.3761	−	17.7015i	−0.708242	−	1.10205i
$259$	7.21728	−	8.32919i	0.448460	−	0.517551i
$260$	−1.85737	+	3.81072i	−0.115189	+	0.236331i
$261$	0.0251052	−	0.00737155i	0.00155397	−	0.000456288i
$262$	2.80981	−	4.37215i	0.173591	−	0.270112i
$263$	−16.0629	+	2.30950i	−0.990483	+	0.142410i	−0.618462	−	0.785814i	$-0.712244\pi$
$263$	−16.0629	+	2.30950i	−0.990483	+	0.142410i	−0.372021	+	0.928224i	$0.621335\pi$
$264$	2.34248	+	5.12931i	0.144169	+	0.315687i
$265$	−3.31669	−	28.0548i	−0.203743	−	1.72339i
$266$	−0.108102	−	0.751868i	−0.00662818	−	0.0461000i
$267$	−16.7474	+	26.0595i	−1.02492	+	1.59481i
$268$	1.61909	+	5.51412i	0.0989019	+	0.336829i
$269$	−2.72536	+	18.9553i	−0.166168	+	1.15572i	0.720546	+	0.693407i	$0.243891\pi$
$269$	−2.72536	+	18.9553i	−0.166168	+	1.15572i	−0.886714	+	0.462318i	$0.847018\pi$
$270$	5.22997	+	8.60592i	0.318286	+	0.523740i
$271$	−1.18119	+	0.759102i	−0.0717519	+	0.0461122i	−0.576025	−	0.817432i	$-0.695397\pi$
$271$	−1.18119	+	0.759102i	−0.0717519	+	0.0461122i	0.504273	+	0.863544i	$0.331761\pi$
$272$	0.719853	−	0.623756i	0.0436475	−	0.0378208i
$273$	−3.02269	+	10.2943i	−0.182941	+	0.623041i
$274$	1.46860	−	3.21579i	0.0887216	−	0.194273i
$275$	12.0163	+	8.60483i	0.724612	+	0.518891i
$276$	−4.97132	+	7.68030i	−0.299239	+	0.462300i
$277$		−	17.5234i		−	1.05288i	−0.850212	−	0.526441i	$-0.823526\pi$
$277$		−	17.5234i		−	1.05288i	0.850212	−	0.526441i	$-0.176474\pi$
$278$	17.0940	+	7.80656i	1.02523	+	0.468207i
$279$	−3.28222	−	0.963748i	−0.196502	−	0.0576981i
$280$	−6.10124	+	2.60315i	−0.364619	+	0.155568i
$281$	−26.9954	+	17.3489i	−1.61041	+	1.03495i	−0.648639	+	0.761096i	$0.724661\pi$
$281$	−26.9954	+	17.3489i	−1.61041	+	1.03495i	−0.961772	+	0.273852i	$0.911702\pi$
$282$	−11.6391	−	10.0853i	−0.693098	−	0.600573i
$283$	−3.58275	−	0.515121i	−0.212972	−	0.0306208i	0.0350028	−	0.999387i	$-0.488856\pi$
$283$	−3.58275	−	0.515121i	−0.212972	−	0.0306208i	−0.247975	+	0.968766i	$0.579765\pi$
$284$	−13.7559	+	4.03910i	−0.816263	+	0.239676i
$285$	−0.694310	−	0.843177i	−0.0411274	−	0.0499455i
$286$	−0.797530	−	5.54695i	−0.0471590	−	0.327998i
$287$	25.2918	−	11.5504i	1.49293	−	0.681798i
$288$	−0.581417	+	0.265524i	−0.0342604	+	0.0156462i
$289$	−2.29024	−	15.9289i	−0.134720	−	0.936996i
$290$	−0.0581856	−	0.0706611i	−0.00341678	−	0.00414936i
$291$	6.14212	−	1.80349i	0.360058	−	0.105722i
$292$	1.02896	+	0.147942i	0.0602153	+	0.00865766i
$293$	5.14803	+	4.46079i	0.300751	+	0.260602i	0.792142	−	0.610337i	$-0.208966\pi$
$293$	5.14803	+	4.46079i	0.300751	+	0.260602i	−0.491391	+	0.870939i	$0.663511\pi$
$294$	−2.88918	+	1.85676i	−0.168500	+	0.108288i
$295$	11.4803	−	4.89818i	0.668409	−	0.285183i
$296$	−3.56466	−	1.04668i	−0.207192	−	0.0608369i
$297$	−12.1094	−	5.53017i	−0.702657	−	0.320893i
$298$			15.7307i			0.911255i
$299$	6.89083	−	5.93168i	0.398507	−	0.343038i
$300$	−5.55332	+	7.75501i	−0.320621	+	0.447735i
$301$	−13.5929	+	29.7643i	−0.783481	+	1.71558i
$302$	5.59421	−	19.0521i	0.321911	−	1.09633i
$303$	−0.417563	+	0.361821i	−0.0239884	+	0.0207860i
$304$	−0.215409	+	0.138435i	−0.0123545	+	0.00793977i
$305$	−9.78987	−	16.1092i	−0.560566	−	0.922412i
$306$	0.0866440	−	0.602622i	0.00495311	−	0.0344496i
$307$	−0.958041	−	3.26279i	−0.0546783	−	0.186217i	0.927626	−	0.373511i	$-0.121846\pi$
$307$	−0.958041	−	3.26279i	−0.0546783	−	0.186217i	−0.982304	+	0.187294i	$0.940028\pi$
$308$	4.74077	−	7.37678i	0.270130	−	0.420331i
$309$	2.61937	+	18.2181i	0.149011	+	1.03639i
$310$	1.40499	+	11.8843i	0.0797981	+	0.674985i
$311$	8.33365	+	18.2481i	0.472558	+	1.03476i	0.984443	+	0.175703i	$0.0562200\pi$
$311$	8.33365	+	18.2481i	0.472558	+	1.03476i	−0.511885	+	0.859054i	$0.671053\pi$
$312$	3.57985	−	0.514704i	0.202669	−	0.0291394i
$313$	8.02235	−	12.4830i	0.453450	−	0.705582i	−0.536981	−	0.843595i	$-0.680435\pi$
$313$	8.02235	−	12.4830i	0.453450	−	0.705582i	0.990430	+	0.138013i	$0.0440715\pi$
$314$	2.02852	−	0.595628i	0.114476	−	0.0336133i
$315$	−1.85765	+	3.81129i	−0.104667	+	0.214742i
$316$	0.570365	−	0.658236i	0.0320855	−	0.0370287i
$317$	−9.60462	−	14.9451i	−0.539449	−	0.839400i	0.459357	−	0.888252i	$-0.348080\pi$
$317$	−9.60462	−	14.9451i	−0.539449	−	0.839400i	−0.998806	+	0.0488523i	$0.984444\pi$
$318$	−18.2144	+	15.7829i	−1.02141	+	0.885061i
$319$	0.116100	+	0.0340901i	0.00650036	+	0.00190868i
$320$	1.65259	+	1.50630i	0.0923825	+	0.0842049i
$321$	−29.9039			−1.66907
$322$	14.2269	+	0.0464316i	0.792834	+	0.00258753i
$323$		−	0.243894i		−	0.0135706i
$324$	4.36559	−	9.55931i	0.242533	−	0.531073i
$325$	7.46671	−	5.83996i	0.414179	−	0.323943i
$326$	4.42743	+	5.10953i	0.245213	+	0.282990i
$327$	−7.10429	−	11.0545i	−0.392868	−	0.611314i
$328$	−7.08343	−	6.13783i	−0.391117	−	0.338905i
$329$	−3.40831	+	23.7053i	−0.187906	+	1.30691i
$330$	0.316751	−	12.6049i	0.0174366	−	0.693879i
$331$	−9.47608	−	6.08991i	−0.520852	−	0.334731i	0.253657	−	0.967294i	$-0.418367\pi$
$331$	−9.47608	−	6.08991i	−0.520852	−	0.334731i	−0.774509	+	0.632563i	$0.782003\pi$
$332$	11.1945	−	1.60953i	0.614380	−	0.0883344i
$333$	−2.16005	+	0.986463i	−0.118370	+	0.0540578i
$334$	−7.69707	−	16.8542i	−0.421165	−	0.922222i
$335$	2.14777	−	12.6697i	0.117345	−	0.692222i
$336$	4.76077	+	3.05956i	0.259721	+	0.166913i
$337$	−7.65302	−	26.0638i	−0.416887	−	1.41979i	−0.853950	−	0.520355i	$-0.825800\pi$
$337$	−7.65302	−	26.0638i	−0.416887	−	1.41979i	0.437063	−	0.899431i	$-0.356019\pi$
$338$	9.30999	+	1.33857i	0.506397	+	0.0728088i
$339$	13.4323	−	15.5018i	0.729545	−	0.841940i
$340$	−2.05801	+	0.548524i	−0.111611	+	0.0297479i
$341$	−10.3596	−	11.9557i	−0.561005	−	0.647435i
$342$	−0.0461100	+	0.157036i	−0.00249334	+	0.00849155i
$343$	−14.0311	−	6.40780i	−0.757610	−	0.345989i
$344$	11.0301			0.594705
$345$	17.5169	−	10.5672i	0.943076	−	0.568918i
$346$	18.4454			0.991630
$347$	−16.1094	−	7.35691i	−0.864797	−	0.394940i	−0.0669191	−	0.997758i	$-0.521317\pi$
$347$	−16.1094	−	7.35691i	−0.864797	−	0.394940i	−0.797878	+	0.602819i	$0.794044\pi$
$348$	−0.0220008	+	0.0749278i	−0.00117937	+	0.00401655i
$349$	13.4559	+	15.5289i	0.720275	+	0.831242i	0.991340	−	0.131319i	$-0.0419212\pi$
$349$	13.4559	+	15.5289i	0.720275	+	0.831242i	−0.271065	+	0.962561i	$0.587376\pi$
$350$	14.8139	+	0.744993i	0.791838	+	0.0398216i
$351$	−5.59139	+	6.45280i	−0.298446	+	0.344425i
$352$	−2.92582	−	0.420670i	−0.155947	−	0.0224218i
$353$	7.24558	+	24.6762i	0.385643	+	1.31338i	0.892382	+	0.451281i	$0.149033\pi$
$353$	7.24558	+	24.6762i	0.385643	+	1.31338i	−0.506738	+	0.862100i	$0.669149\pi$
$354$	−8.95804	−	5.75698i	−0.476114	−	0.305980i
$355$	31.6068	+	5.35798i	1.67751	+	0.284372i
$356$	−6.74558	−	14.7707i	−0.357515	−	0.782848i
$357$	−4.90323	+	2.23923i	−0.259506	+	0.118513i
$358$	24.3731	−	3.50432i	1.28816	−	0.185209i
$359$	−0.532753	−	0.342380i	−0.0281177	−	0.0180701i	0.526506	−	0.850171i	$-0.323502\pi$
$359$	−0.532753	−	0.342380i	−0.0281177	−	0.0180701i	−0.554624	+	0.832101i	$0.687138\pi$
$360$	1.42880	+	0.0359044i	0.0753042	+	0.00189233i
$361$	2.69465	−	18.7417i	0.141824	−	0.986406i
$362$	−3.57440	−	3.09724i	−0.187866	−	0.162787i
$363$	−2.33355	−	3.63107i	−0.122479	−	0.190582i
$364$	−3.68301	−	4.25043i	−0.193042	−	0.222783i
$365$	−1.92329	−	1.30544i	−0.100670	−	0.0683298i
$366$	−6.68077	+	14.6288i	−0.349209	+	0.764662i
$367$			6.01653i			0.314060i	0.987594	+	0.157030i	$0.0501920\pi$
$367$			6.01653i			0.314060i	−0.987594	+	0.157030i	$0.949808\pi$
$368$	−1.97801	−	4.36892i	−0.103111	−	0.227746i
$369$	−5.99085			−0.311871
$370$	6.13961	+	5.59614i	0.319183	+	0.290929i
$371$	35.9606	+	10.5590i	1.86698	+	0.548195i
$372$	7.71585	−	6.68582i	0.400048	−	0.346644i
$373$	−18.0163	−	28.0339i	−0.932848	−	1.45154i	−0.891824	−	0.452382i	$-0.850574\pi$
$373$	−18.0163	−	28.0339i	−0.932848	−	1.45154i	−0.0410244	−	0.999158i	$-0.513062\pi$
$374$	1.84377	−	2.12782i	0.0953389	−	0.110027i
$375$	18.7599	−	10.1471i	0.968756	−	0.523996i
$376$	7.74607	−	2.27445i	0.399473	−	0.117296i
$377$	0.0419579	−	0.0652878i	0.00216094	−	0.00336249i
$378$	−13.2242	+	1.90136i	−0.680181	+	0.0977953i
$379$	4.92740	+	10.7895i	0.253103	+	0.554219i	0.992947	−	0.118560i	$-0.0378278\pi$
$379$	4.92740	+	10.7895i	0.253103	+	0.554219i	−0.739844	+	0.672779i	$0.765101\pi$
$380$	0.568600	−	0.0672211i	0.0291686	−	0.00344837i
$381$	−0.477033	−	3.31784i	−0.0244392	−	0.169978i
$382$	5.06058	−	7.87442i	0.258922	−	0.402891i
$383$	3.83003	+	13.0439i	0.195706	+	0.666512i	0.997612	+	0.0690628i	$0.0220009\pi$
$383$	3.83003	+	13.0439i	0.195706	+	0.666512i	−0.801907	+	0.597449i	$0.796181\pi$
$384$	0.271489	−	1.88825i	0.0138544	−	0.0963591i
$385$	−16.7561	+	10.1830i	−0.853969	+	0.518972i
$386$	17.1030	−	10.9915i	0.870522	−	0.559450i
$387$	5.32821	−	4.61692i	0.270848	−	0.234691i
$388$	−0.945393	+	3.21971i	−0.0479950	+	0.163456i
$389$	−4.79087	+	10.4905i	−0.242907	+	0.531891i	−0.991340	−	0.131318i	$-0.958079\pi$
$389$	−4.79087	+	10.4905i	−0.242907	+	0.531891i	0.748434	+	0.663210i	$0.230806\pi$
$390$	−7.69982	−	2.47261i	−0.389896	−	0.125205i
$391$	4.51940	+	0.664853i	0.228556	+	0.0336231i
$392$		−	1.80030i		−	0.0909290i
$393$	9.01853	+	4.11862i	0.454924	+	0.207757i
$394$	−5.33356	−	1.56607i	−0.268701	−	0.0788976i
$395$	−1.79132	+	0.764283i	−0.0901311	+	0.0384552i
$396$	−1.58943	+	1.02146i	−0.0798717	+	0.0513304i
$397$	−12.0135	−	10.4097i	−0.602939	−	0.522450i	0.299034	−	0.954243i	$-0.403336\pi$
$397$	−12.0135	−	10.4097i	−0.602939	−	0.522450i	−0.901973	+	0.431793i	$0.857881\pi$
$398$	−26.9191	−	3.87038i	−1.34933	−	0.194005i
$399$	1.39036	−	0.408247i	0.0696052	−	0.0204379i
$400$	−1.84602	−	4.64674i	−0.0923008	−	0.232337i
$401$	1.46816	+	10.2113i	0.0733166	+	0.509928i	0.993079	+	0.117452i	$0.0374725\pi$
$401$	1.46816	+	10.2113i	0.0733166	+	0.509928i	−0.919762	+	0.392477i	$0.871618\pi$
$402$	−9.97246	+	4.55427i	−0.497381	+	0.227146i
$403$	−9.22944	+	4.21495i	−0.459751	+	0.209961i
$404$	−0.0412186	−	0.286681i	−0.00205070	−	0.0142629i
$405$	−18.1402	+	14.9375i	−0.901393	+	0.742248i
$406$	0.116517	−	0.0342125i	0.00578265	−	0.00169794i
$407$	−10.8699	−	1.56285i	−0.538799	−	0.0774676i
$408$	1.37324	+	1.18992i	0.0679854	+	0.0589096i
$409$	−7.78549	+	5.00343i	−0.384968	+	0.247404i	−0.718783	−	0.695235i	$-0.755300\pi$
$409$	−7.78549	+	5.00343i	−0.384968	+	0.247404i	0.333815	+	0.942639i	$0.391664\pi$
$410$	8.22463	+	19.2768i	0.406185	+	0.952014i
$411$	6.47092	+	1.90003i	0.319187	+	0.0937217i
$412$	−8.77628	−	4.00799i	−0.432376	−	0.197460i
$413$			16.5590i			0.814813i
$414$	−2.78421	−	1.28250i	−0.136836	−	0.0630316i
$415$	−24.0781	−	7.73208i	−1.18195	−	0.379553i
$416$	−0.787568	+	1.72453i	−0.0386137	+	0.0845522i
$417$	−10.0999	+	34.3971i	−0.494594	+	1.68443i
$418$	−0.572012	+	0.495651i	−0.0279780	+	0.0242431i
$419$	−10.2420	+	6.58215i	−0.500356	+	0.321559i	−0.766359	−	0.642413i	$-0.777933\pi$
$419$	−10.2420	+	6.58215i	−0.500356	+	0.321559i	0.266003	+	0.963972i	$0.414297\pi$
$420$	−6.57180	−	10.8139i	−0.320671	−	0.527665i
$421$	−2.31536	+	16.1037i	−0.112844	+	0.784845i	0.852287	+	0.523075i	$0.175215\pi$
$421$	−2.31536	+	16.1037i	−0.112844	+	0.784845i	−0.965130	+	0.261770i	$0.915694\pi$
$422$	2.66870	+	9.08874i	0.129910	+	0.442433i
$423$	2.78978	−	4.34099i	0.135644	−	0.211066i
$424$	−1.79799	−	12.5053i	−0.0873179	−	0.607309i
$425$	4.67404	+	0.913690i	0.226724	+	0.0443205i
$426$	−11.3614	−	24.8780i	−0.550461	−	1.20534i
$427$	24.7542	−	3.55911i	1.19794	−	0.172237i
$428$	8.47491	−	13.1872i	0.409650	−	0.637428i
$429$	10.2575	−	3.01187i	0.495236	−	0.145414i
$430$	−22.1708	−	10.8062i	−1.06917	−	0.521122i
$431$	25.2443	−	29.1334i	1.21597	−	1.40331i	0.327205	−	0.944953i	$-0.393893\pi$
$431$	25.2443	−	29.1334i	1.21597	−	1.40331i	0.888769	−	0.458355i	$-0.151561\pi$
$432$	2.43486	+	3.78871i	0.117147	+	0.182285i
$433$	17.8974	−	15.5082i	0.860094	−	0.745276i	−0.108454	−	0.994101i	$-0.534590\pi$
$433$	17.8974	−	15.5082i	0.860094	−	0.745276i	0.968548	+	0.248826i	$0.0800446\pi$
$434$	−15.2333	−	4.47291i	−0.731223	−	0.214706i
$435$	0.117629	−	0.129052i	0.00563987	−	0.00618759i
$436$	6.88827			0.329888
$437$	−1.17713	−	0.349812i	−0.0563096	−	0.0167338i
$438$			1.98309i			0.0947559i
$439$	−0.427987	+	0.937161i	−0.0204267	+	0.0447283i	−0.919570	−	0.392925i	$-0.871463\pi$
$439$	−0.427987	+	0.937161i	−0.0204267	+	0.0447283i	0.899144	+	0.437654i	$0.144190\pi$
$440$	5.46884	+	3.71198i	0.260717	+	0.176962i
$441$	−0.753558	−	0.869652i	−0.0358837	−	0.0414120i
$442$	−0.976294	−	1.51914i	−0.0464375	−	0.0722582i
$443$	1.42284	+	1.23290i	0.0676012	+	0.0585768i	0.688006	−	0.725705i	$-0.258486\pi$
$443$	1.42284	+	1.23290i	0.0676012	+	0.0585768i	−0.620405	+	0.784282i	$0.713032\pi$
$444$	1.00862	−	7.01511i	0.0478670	−	0.332922i
$445$	−0.912142	+	36.2982i	−0.0432397	+	1.72070i
$446$	−2.33144	−	1.49833i	−0.110397	−	0.0709478i
$447$	−29.7034	+	4.27071i	−1.40492	+	0.201997i
$448$	−2.69845	+	1.23234i	−0.127490	+	0.0582226i
$449$	−12.7865	−	27.9986i	−0.603434	−	1.32134i	−0.926975	−	0.375122i	$-0.877601\pi$
$449$	−12.7865	−	27.9986i	−0.603434	−	1.32134i	0.323542	−	0.946214i	$-0.395126\pi$
$450$	−2.83674	−	1.47196i	−0.133725	−	0.0693888i
$451$	−23.3069	−	14.9784i	−1.09748	−	0.705306i
$452$	3.02927	+	10.3168i	0.142485	+	0.485259i
$453$	37.4939	+	5.39081i	1.76162	+	0.253282i
$454$	3.20579	−	3.69967i	0.150455	−	0.173634i
$455$	3.23880	+	12.1517i	0.151837	+	0.569680i
$456$	−0.319880	−	0.369161i	−0.0149797	−	0.0172875i
$457$	−3.27623	+	11.1578i	−0.153255	+	0.521940i	−0.999949	−	0.0101415i	$-0.996772\pi$
$457$	−3.27623	+	11.1578i	−0.153255	+	0.521940i	0.846693	+	0.532081i	$0.178590\pi$
$458$	−16.7091	−	7.63079i	−0.780765	−	0.356564i
$459$	−4.28974			−0.200228
$460$	−0.304381	+	10.7195i	−0.0141918	+	0.499799i
$461$	−1.25915			−0.0586445			−0.0293223	−	0.999570i	$-0.509335\pi$
$461$	−1.25915			−0.0586445			−0.0293223	+	0.999570i	$0.509335\pi$
$462$	15.2162	+	6.94903i	0.707924	+	0.323298i
$463$	3.83011	−	13.0442i	0.178000	−	0.606213i	−0.821359	−	0.570412i	$-0.806784\pi$
$463$	3.83011	−	13.0442i	0.178000	−	0.606213i	0.999359	−	0.0358012i	$-0.0113983\pi$
$464$	−0.0268070	−	0.0309369i	−0.00124448	−	0.00143621i
$465$	−22.0591	+	5.87943i	−1.02297	+	0.272652i
$466$	−13.9530	+	16.1026i	−0.646359	+	0.745938i
$467$	22.0760	+	3.17405i	1.02156	+	0.146877i	0.632680	−	0.774413i	$-0.281955\pi$
$467$	22.0760	+	3.17405i	1.02156	+	0.146877i	0.388875	+	0.921291i	$0.372864\pi$
$468$	0.341401	+	1.16271i	0.0157813	+	0.0537461i
$469$	14.3420	+	9.21706i	0.662253	+	0.425604i
$470$	−17.7980	−	3.01712i	−0.820963	−	0.139170i
$471$	1.67541	+	3.66865i	0.0771990	+	0.169042i
$472$	5.07750	−	2.31882i	0.233711	−	0.106732i
$473$	32.2722	−	4.64005i	1.48388	−	0.213350i
$474$	1.39776	+	0.898285i	0.0642012	+	0.0412596i
$475$	−1.20876	−	0.421942i	−0.0554615	−	0.0193600i
$476$	0.402128	−	2.79686i	0.0184315	−	0.128194i
$477$	−6.10290	−	5.28819i	−0.279433	−	0.242130i
$478$	0.584249	+	0.909109i	0.0267229	+	0.0415817i
$479$	0.174615	+	0.201516i	0.00797836	+	0.00920751i	0.759725	−	0.650245i	$-0.225334\pi$
$479$	0.174615	+	0.201516i	0.00797836	+	0.00920751i	−0.751746	+	0.659452i	$0.770788\pi$
$480$	−2.39561	+	3.52944i	−0.109344	+	0.161096i
$481$	−2.92593	+	6.40689i	−0.133411	+	0.292129i
$482$			14.6420i			0.666925i
$483$	3.77477	+	26.8765i	0.171758	+	1.22292i
$484$	2.26259			0.102845
$485$	5.05461	−	5.54549i	0.229518	−	0.251808i
$486$	6.27187	+	1.84159i	0.284498	+	0.0835361i
$487$	0.649982	−	0.563213i	0.0294535	−	0.0255216i	−0.640010	−	0.768367i	$-0.721070\pi$
$487$	0.649982	−	0.563213i	0.0294535	−	0.0255216i	0.669463	+	0.742845i	$0.266524\pi$
$488$	−4.55776	−	7.09201i	−0.206320	−	0.321040i
$489$	−8.44604	+	9.74725i	−0.381943	+	0.440786i
$490$	−1.76375	+	3.61865i	−0.0796783	+	0.163474i
$491$	31.2363	−	9.17181i	1.40968	−	0.413918i	0.513680	−	0.857982i	$-0.328282\pi$
$491$	31.2363	−	9.17181i	1.40968	−	0.413918i	0.895995	+	0.444064i	$0.146464\pi$
$492$	9.66666	−	15.0416i	0.435807	−	0.678128i
$493$	0.0385942	−	0.00554901i	0.00173820	−	0.000249915i
$494$	0.201662	+	0.441578i	0.00907320	+	0.0198675i
$495$	4.19551	−	0.496002i	0.188574	−	0.0222936i
$496$	0.761648	+	5.29738i	0.0341990	+	0.237859i
$497$	−22.9935	+	35.7786i	−1.03140	+	1.60489i
$498$	6.07838	+	20.7011i	0.272379	+	0.927636i
$499$	−2.09574	+	14.5762i	−0.0938184	+	0.652521i	0.887596	+	0.460622i	$0.152374\pi$
$499$	−2.09574	+	14.5762i	−0.0938184	+	0.652521i	−0.981415	+	0.191899i	$0.938535\pi$
$500$	−0.841882	+	11.1486i	−0.0376501	+	0.498580i
$501$	29.7353	−	19.1097i	1.32847	−	0.853758i
$502$	−8.45143	+	7.32320i	−0.377206	+	0.326851i
$503$	6.57420	−	22.3897i	0.293129	−	0.998306i	−0.672870	−	0.739761i	$-0.734939\pi$
$503$	6.57420	−	22.3897i	0.293129	−	0.998306i	0.965999	−	0.258545i	$-0.0832431\pi$
$504$	−0.787686	+	1.72479i	−0.0350863	+	0.0768284i
$505$	−0.198011	+	0.616618i	−0.00881139	+	0.0274391i
$506$	−7.62519	−	11.9506i	−0.338981	−	0.531269i
$507$			17.9430i			0.796874i
$508$	1.59832	+	0.729926i	0.0709138	+	0.0323852i
$509$	−32.1300	−	9.43422i	−1.42414	−	0.418165i	−0.523236	−	0.852188i	$-0.675275\pi$
$509$	−32.1300	−	9.43422i	−1.42414	−	0.418165i	−0.900902	+	0.434023i	$0.857094\pi$
$510$	−1.59448	−	3.73712i	−0.0706046	−	0.165482i
$511$	2.59428	−	1.66724i	0.114764	−	0.0737545i
$512$	0.755750	+	0.654861i	0.0333997	+	0.0289410i
$513$	1.14145	+	0.164116i	0.0503963	+	0.00724590i
$514$	28.7939	−	8.45466i	1.27005	−	0.372919i
$515$	13.7139	+	16.6543i	0.604306	+	0.733875i
$516$	2.99456	+	20.8276i	0.131828	+	0.916885i
$517$	21.7068	−	9.91318i	0.954666	−	0.435981i
$518$	−10.0251	+	4.57833i	−0.440479	+	0.201160i
$519$	5.00771	+	34.8294i	0.219814	+	1.52884i
$520$	3.27255	−	2.69477i	0.143511	−	0.118173i
$521$	−4.03729	+	1.18546i	−0.176877	+	0.0519357i	−0.368972	−	0.929441i	$-0.620290\pi$
$521$	−4.03729	+	1.18546i	−0.176877	+	0.0519357i	0.192095	+	0.981376i	$0.438472\pi$
$522$	−0.0258987	−	0.00372368i	−0.00113356	−	0.000162981i
$523$	−24.2454	−	21.0088i	−1.06018	−	0.918650i	−0.0633312	−	0.997993i	$-0.520172\pi$
$523$	−24.2454	−	21.0088i	−1.06018	−	0.918650i	−0.996847	+	0.0793426i	$0.974718\pi$
$524$	−4.37215	+	2.80981i	−0.190998	+	0.122747i
$525$	2.61509	+	28.1746i	0.114132	+	1.22964i
$526$	15.5708	+	4.57199i	0.678917	+	0.199348i
$527$	−4.63698	−	2.11764i	−0.201990	−	0.0922458i
$528$		−	5.63888i		−	0.245401i
$529$	9.69090	−	20.8587i	0.421344	−	0.906901i
$530$	−8.63741	+	26.8973i	−0.375185	+	1.16835i
$531$	1.48214	−	3.24543i	0.0643193	−	0.140840i
$532$	−0.214004	+	0.728831i	−0.00927825	+	0.0315988i
$533$	−13.4292	+	11.6364i	−0.581682	+	0.504031i
$534$	26.0595	−	16.7474i	1.12770	−	0.724731i
$535$	−29.9543	+	18.2037i	−1.29504	+	0.787016i
$536$	0.817871	−	5.68842i	0.0353267	−	0.245702i
$537$	13.2340	+	45.0710i	0.571091	+	1.94496i
$538$	10.3534	−	16.1102i	0.446366	−	0.694560i
$539$	−0.757333	−	5.26737i	−0.0326206	−	0.226882i
$540$	−1.18232	−	10.0008i	−0.0508789	−	0.430367i
$541$	9.77877	+	21.4125i	0.420422	+	0.920596i	0.994785	+	0.101995i	$0.0325226\pi$
$541$	9.77877	+	21.4125i	0.420422	+	0.920596i	−0.574363	+	0.818601i	$0.694750\pi$
$542$	1.38979	−	0.199821i	0.0596965	−	0.00858305i
$543$	4.87794	−	7.59022i	0.209332	−	0.325727i
$544$	−0.913919	+	0.268351i	−0.0391839	+	0.0115054i
$545$	−13.8456	−	6.74843i	−0.593079	−	0.289071i
$546$	7.02595	−	8.10838i	0.300683	−	0.347007i
$547$	8.01047	+	12.4645i	0.342503	+	0.532945i	0.969186	−	0.246329i	$-0.0792244\pi$
$547$	8.01047	+	12.4645i	0.342503	+	0.532945i	−0.626683	+	0.779274i	$0.715588\pi$
$548$	−2.67178	+	2.31511i	−0.114133	+	0.0988966i
$549$	−5.17019	−	1.51811i	−0.220658	−	0.0647912i
$550$	−7.35586	−	12.8190i	−0.313655	−	0.546604i
$551$	−0.0104818			−0.000446539
$552$	7.71259	−	4.92109i	0.328270	−	0.209455i
$553$		−	2.58376i		−	0.109873i
$554$	−7.27950	+	15.9399i	−0.309276	+	0.677221i
$555$	−8.90005	+	13.1124i	−0.377786	+	0.556590i
$556$	−12.3063	−	14.2022i	−0.521902	−	0.602308i
$557$	6.01408	+	9.35810i	0.254825	+	0.396515i	0.944971	−	0.327155i	$-0.106090\pi$
$557$	6.01408	+	9.35810i	0.254825	+	0.396515i	−0.690146	+	0.723670i	$0.742454\pi$
$558$	2.58526	+	2.24014i	0.109443	+	0.0948327i
$559$	2.97603	−	20.6987i	0.125873	−	0.875463i
$560$	6.63127	+	0.166638i	0.280222	+	0.00704175i
$561$	4.51841	+	2.90381i	0.190767	+	0.122599i
$562$	31.7629	−	4.56681i	1.33984	−	0.192639i
$563$	−12.4961	+	5.70679i	−0.526649	+	0.240512i	−0.660952	−	0.750428i	$-0.729848\pi$
$563$	−12.4961	+	5.70679i	−0.526649	+	0.240512i	0.134304	+	0.990940i	$0.457120\pi$
$564$	6.39769	+	14.0090i	0.269391	+	0.589885i
$565$	4.01842	−	23.7047i	0.169056	−	0.997264i
$566$	3.04499	+	1.95690i	0.127991	+	0.0822546i
$567$	−8.78308	−	29.9124i	−0.368855	−	1.25620i
$568$	14.1907	+	2.04032i	0.595429	+	0.0856098i
$569$	−8.21383	+	9.47926i	−0.344342	+	0.397391i	−0.901333	−	0.433127i	$-0.857410\pi$
$569$	−8.21383	+	9.47926i	−0.344342	+	0.397391i	0.556991	+	0.830518i	$0.311956\pi$
$570$	0.281298	+	1.05541i	0.0117823	+	0.0442061i
$571$	−12.6512	−	14.6003i	−0.529436	−	0.611002i	0.426532	−	0.904473i	$-0.359735\pi$
$571$	−12.6512	−	14.6003i	−0.529436	−	0.611002i	−0.955968	+	0.293471i	$0.905190\pi$
$572$	−1.57883	+	5.37699i	−0.0660140	+	0.224823i
$573$	16.2427	+	7.41781i	0.678550	+	0.309883i
$574$	−27.8045			−1.16054
$575$	11.1137	−	21.2482i	0.463473	−	0.886111i
$576$	0.639179			0.0266324
$577$	5.00558	+	2.28597i	0.208385	+	0.0951663i	0.516873	−	0.856062i	$-0.327096\pi$
$577$	5.00558	+	2.28597i	0.208385	+	0.0951663i	−0.308488	+	0.951228i	$0.599823\pi$
$578$	−4.53385	+	15.4409i	−0.188583	+	0.642256i
$579$	25.3978	+	29.3107i	1.05550	+	1.21811i
$580$	0.0235738	+	0.0884468i	0.000978848	+	0.00367255i
$581$	21.9708	−	25.3557i	0.911504	−	1.05193i
$582$	−6.33627	−	0.911018i	−0.262647	−	0.0377629i
$583$	−10.5212	−	35.8319i	−0.435743	−	1.48400i
$584$	−0.874517	−	0.562018i	−0.0361878	−	0.0232565i
$585$	0.452878	−	2.67154i	0.0187242	−	0.110454i
$586$	−2.82973	−	6.19625i	−0.116895	−	0.255965i
$587$	−9.60539	+	4.38663i	−0.396457	+	0.181056i	−0.603659	−	0.797242i	$-0.706291\pi$
$587$	−9.60539	+	4.38663i	−0.396457	+	0.181056i	0.207203	+	0.978298i	$0.433564\pi$
$588$	3.39941	−	0.488762i	0.140189	−	0.0201562i
$589$	1.15283	+	0.740882i	0.0475017	+	0.0305275i
$590$	−12.4776	−	0.313552i	−0.513696	−	0.0129087i
$591$	1.50913	−	10.4962i	0.0620774	−	0.431757i
$592$	2.80772	+	2.43290i	0.115397	+	0.0999917i
$593$	−8.27934	−	12.8829i	−0.339992	−	0.529038i	0.628589	−	0.777738i	$-0.283633\pi$
$593$	−8.27934	−	12.8829i	−0.339992	−	0.529038i	−0.968580	+	0.248700i	$0.919997\pi$
$594$	8.71776	+	10.0608i	0.357694	+	0.412801i
$595$	−3.54837	+	5.22779i	−0.145469	+	0.214319i
$596$	6.53477	−	14.3091i	0.267674	−	0.586125i
$597$		−	51.8807i		−	2.12333i
$598$	−8.73223	+	2.53309i	−0.357087	+	0.103586i
$599$	5.42374			0.221608			0.110804	−	0.993842i	$-0.464657\pi$
$599$	5.42374			0.221608			0.110804	+	0.993842i	$0.464657\pi$
$600$	8.27302	−	4.74727i	0.337745	−	0.193806i
$601$	30.5924	+	8.98275i	1.24789	+	0.366414i	0.837975	−	0.545709i	$-0.183740\pi$
$601$	30.5924	+	8.98275i	1.24789	+	0.366414i	0.409916	+	0.912123i	$0.365558\pi$
$602$	24.7291	−	21.4279i	1.00788	−	0.873334i
$603$	−1.98594	−	3.09018i	−0.0808737	−	0.125842i
$604$	−13.0032	+	15.0065i	−0.529094	+	0.610607i
$605$	−4.54786	−	2.21666i	−0.184897	−	0.0901200i
$606$	0.530135	−	0.155662i	0.0215352	−	0.00632332i
$607$	−23.1899	+	36.0841i	−0.941248	+	1.46461i	−0.0565743	+	0.998398i	$0.518018\pi$
$607$	−23.1899	+	36.0841i	−0.941248	+	1.46461i	−0.884673	+	0.466211i	$0.845619\pi$
$608$	0.253450	−	0.0364407i	0.0102788	−	0.00147786i
$609$	0.0962348	+	0.210725i	0.00389963	+	0.00853900i
$610$	2.21316	+	18.7203i	0.0896081	+	0.757964i
$611$	−2.17819	−	15.1496i	−0.0881201	−	0.612889i
$612$	−0.329152	+	0.512171i	−0.0133052	+	0.0207033i
$613$	10.6884	+	36.4012i	0.431699	+	1.47023i	0.832479	+	0.554057i	$0.186921\pi$
$613$	10.6884	+	36.4012i	0.431699	+	1.47023i	−0.400780	+	0.916174i	$0.631261\pi$
$614$	−0.483946	+	3.36592i	−0.0195305	+	0.135837i
$615$	−34.1665	+	20.7636i	−1.37772	+	0.837267i
$616$	−7.37678	+	4.74077i	−0.297219	+	0.191011i
$617$	4.64812	−	4.02762i	0.187126	−	0.162146i	−0.556260	−	0.831008i	$-0.687764\pi$
$617$	4.64812	−	4.02762i	0.187126	−	0.162146i	0.743386	+	0.668863i	$0.233219\pi$
$618$	5.18542	−	17.6599i	0.208588	−	0.710386i
$619$	−4.96800	+	10.8784i	−0.199681	+	0.437240i	−0.982810	−	0.184619i	$-0.940895\pi$
$619$	−4.96800	+	10.8784i	−0.199681	+	0.437240i	0.783130	+	0.621859i	$0.213622\pi$
$620$	3.65891	−	11.3940i	0.146945	−	0.457595i
$621$	−6.15268	+	20.7039i	−0.246898	+	0.830818i
$622$		−	20.0610i		−	0.804374i
$623$	−43.8179	−	20.0110i	−1.75553	−	0.801722i
$624$	−3.47016	−	1.01893i	−0.138917	−	0.0407899i
$625$	12.6145	−	21.5841i	0.504579	−	0.863365i
$626$	−12.4830	+	8.02235i	−0.498922	+	0.320637i
$627$	−1.09121	−	0.945536i	−0.0435786	−	0.0377611i
$628$	−2.09264	−	0.300877i	−0.0835056	−	0.0120063i
$629$	−3.39534	+	0.996963i	−0.135381	+	0.0397515i
$630$	3.27305	−	2.69517i	0.130401	−	0.107378i
$631$	−6.21662	−	43.2375i	−0.247480	−	1.72126i	−0.612682	−	0.790330i	$-0.709909\pi$
$631$	−6.21662	−	43.2375i	−0.247480	−	1.72126i	0.365202	−	0.930928i	$-0.381000\pi$
$632$	−0.792263	+	0.361815i	−0.0315145	+	0.0143922i
$633$	−16.4373	+	7.50665i	−0.653323	+	0.298362i
$634$	2.52826	+	17.5844i	0.100410	+	0.698367i
$635$	−2.49754	−	3.03304i	−0.0991119	−	0.120362i
$636$	23.1249	−	6.79008i	0.916961	−	0.269244i
$637$	−3.37838	−	0.485737i	−0.133856	−	0.0192456i
$638$	−0.0914469	−	0.0792392i	−0.00362042	−	0.00313711i
$639$	7.70898	−	4.95426i	0.304962	−	0.195987i
$640$	−0.877507	−	2.05669i	−0.0346865	−	0.0812979i
$641$	10.8536	+	3.18690i	0.428691	+	0.125875i	0.488958	−	0.872307i	$-0.337377\pi$
$641$	10.8536	+	3.18690i	0.428691	+	0.125875i	−0.0602670	+	0.998182i	$0.519195\pi$
$642$	27.2015	+	12.4225i	1.07356	+	0.490278i
$643$		−	26.3024i		−	1.03727i	−0.854997	−	0.518634i	$-0.826441\pi$
$643$		−	26.3024i		−	1.03727i	0.854997	−	0.518634i	$-0.173559\pi$
$644$	−12.9220	−	5.95231i	−0.509196	−	0.234554i
$645$	14.3857	−	44.7977i	0.566435	−	1.76391i
$646$	−0.101317	+	0.221854i	−0.00398628	+	0.00872873i
$647$	−3.90089	+	13.2852i	−0.153360	+	0.522296i	−0.999951	−	0.00994875i	$-0.996833\pi$
$647$	−3.90089	+	13.2852i	−0.153360	+	0.522296i	0.846591	+	0.532245i	$0.178651\pi$
$648$	−7.94216	+	6.88192i	−0.311998	+	0.270347i
$649$	13.8804	−	8.92040i	0.544854	−	0.350156i
$650$	−9.21797	+	2.21043i	−0.361558	+	0.0867001i
$651$	4.31027	−	29.9786i	0.168933	−	1.17495i
$652$	−1.90476	−	6.48701i	−0.0745961	−	0.254051i
$653$	14.2893	−	22.2347i	0.559185	−	0.870110i	−0.440431	−	0.897786i	$-0.645175\pi$
$653$	14.2893	−	22.2347i	0.559185	−	0.870110i	0.999617	+	0.0276767i	$0.00881088\pi$
$654$	1.87009	+	13.0067i	0.0731262	+	0.508604i
$655$	11.5409	−	1.36439i	0.450940	−	0.0533110i
$656$	3.89357	+	8.52573i	0.152018	+	0.332874i
$657$	−0.657689	+	0.0945614i	−0.0256589	+	0.00368919i
$658$	12.9478	−	20.1472i	0.504759	−	0.785421i
$659$	−42.4985	+	12.4787i	−1.65551	+	0.486100i	−0.970231	−	0.242183i	$-0.922136\pi$
$659$	−42.4985	+	12.4787i	−1.65551	+	0.486100i	−0.685276	+	0.728284i	$0.740318\pi$
$660$	−5.52441	+	11.3343i	−0.215037	+	0.441186i
$661$	−24.2167	+	27.9476i	−0.941921	+	1.08703i	0.0541553	+	0.998533i	$0.482753\pi$
$661$	−24.2167	+	27.9476i	−0.941921	+	1.08703i	−0.996076	+	0.0885019i	$0.971792\pi$
$662$	6.08991	+	9.47608i	0.236691	+	0.368298i
$663$	2.60346	−	2.25591i	0.101110	−	0.0876124i
$664$	−10.8515	−	3.18629i	−0.421121	−	0.123652i
$665$	1.14419	−	1.25531i	0.0443697	−	0.0486787i
$666$	2.37464			0.0920156
$667$	0.0285732	−	0.194229i	0.00110636	−	0.00752058i
$668$			18.5286i			0.716894i
$669$	2.19625	−	4.80912i	0.0849119	−	0.185931i
$670$	−7.21688	+	10.6326i	−0.278812	+	0.410772i
$671$	−16.3186	−	18.8327i	−0.629973	−	0.727027i
$672$	−3.05956	−	4.76077i	−0.118025	−	0.183651i
$673$	20.6317	+	17.8775i	0.795295	+	0.689127i	0.954530	−	0.298114i	$-0.0963575\pi$
$673$	20.6317	+	17.8775i	0.795295	+	0.689127i	−0.159236	+	0.987241i	$0.550903\pi$
$674$	−3.86586	+	26.8877i	−0.148907	+	1.03567i
$675$	−7.42132	+	21.2602i	−0.285647	+	0.818305i
$676$	−7.91260	−	5.08512i	−0.304331	−	0.195581i
$677$	−17.5137	+	2.51809i	−0.673106	+	0.0967780i	−0.470389	−	0.882459i	$-0.655886\pi$
$677$	−17.5137	+	2.51809i	−0.673106	+	0.0967780i	−0.202717	+	0.979237i	$0.564977\pi$
$678$	−18.6582	+	8.52090i	−0.716562	+	0.327243i
$679$	4.13529	+	9.05503i	0.158698	+	0.347500i
$680$	2.09990	+	0.355975i	0.0805275	+	0.0136510i
$681$	7.85623	+	5.04889i	0.301051	+	0.193474i
$682$	4.45689	+	15.1788i	0.170663	+	0.581226i
$683$	30.3133	+	4.35840i	1.15991	+	0.166770i	0.695282	−	0.718737i	$-0.255280\pi$
$683$	30.3133	+	4.35840i	1.15991	+	0.166770i	0.464626	+	0.885507i	$0.346189\pi$
$684$	0.107178	−	0.123690i	0.00409807	−	0.00472942i
$685$	7.63844	−	2.03588i	0.291850	−	0.0777870i
$686$	10.1013	+	11.6575i	0.385668	+	0.445085i
$687$	9.87248	−	33.6226i	0.376659	−	1.28278i
$688$	−10.0334	−	4.58209i	−0.382519	−	0.174690i
$689$	−23.9520			−0.912499
$690$	−20.3237	+	2.33547i	−0.773708	+	0.0889100i
$691$	21.1619			0.805035			0.402517	−	0.915412i	$-0.368135\pi$
$691$	21.1619			0.805035			0.402517	+	0.915412i	$0.368135\pi$
$692$	−16.7785	−	7.66249i	−0.637823	−	0.291284i
$693$	−1.57906	+	5.37780i	−0.0599836	+	0.204286i
$694$	11.5974	+	13.3842i	0.440233	+	0.508056i
$695$	10.8220	+	40.6032i	0.410502	+	1.54017i
$696$	0.0511388	−	0.0590173i	0.00193841	−	0.00223704i
$697$	−8.83667	−	1.27052i	−0.334713	−	0.0481244i
$698$	−5.78894	−	19.7153i	−0.219115	−	0.746236i
$699$	−34.1937	−	21.9750i	−1.29333	−	0.831170i
$700$	−13.1657	−	6.83160i	−0.497618	−	0.258210i
$701$	−9.47002	−	20.7364i	−0.357678	−	0.783205i	−0.999861	−	0.0166540i	$-0.994699\pi$
$701$	−9.47002	−	20.7364i	−0.357678	−	0.783205i	0.642184	−	0.766551i	$-0.278029\pi$
$702$	7.76670	−	3.54693i	0.293135	−	0.133870i
$703$	0.941605	−	0.135382i	0.0355133	−	0.00510604i
$704$	2.48667	+	1.59809i	0.0937199	+	0.0602301i
$705$	0.865101	−	34.4262i	0.0325816	−	1.29657i
$706$	3.66005	−	25.4562i	0.137748	−	0.958056i
$707$	−0.649336	−	0.562653i	−0.0244208	−	0.0211607i
$708$	5.75698	+	8.95804i	0.216361	+	0.336664i
$709$	−12.8245	−	14.8002i	−0.481633	−	0.555834i	0.461978	−	0.886891i	$-0.347140\pi$
$709$	−12.8245	−	14.8002i	−0.481633	−	0.555834i	−0.943610	+	0.331058i	$0.892594\pi$
$710$	−26.5248	−	18.0037i	−0.995457	−	0.675668i
$711$	−0.231264	+	0.506398i	−0.00867308	+	0.0189914i
$712$			16.2382i			0.608551i
$713$	−16.8712	+	19.3425i	−0.631833	+	0.724384i
$714$	5.39034			0.201728
$715$	8.44130	−	9.26109i	0.315687	−	0.346345i
$716$	−23.6263	−	6.93731i	−0.882956	−	0.259259i
$717$	−1.55800	+	1.35002i	−0.0581847	+	0.0504174i
$718$	0.342380	+	0.532753i	0.0127775	+	0.0198822i
$719$	22.8049	−	26.3183i	0.850481	−	0.981507i	−0.149493	−	0.988763i	$-0.547764\pi$
$719$	22.8049	−	26.3183i	0.850481	−	0.981507i	0.999974	+	0.00725573i	$0.00230959\pi$
$720$	−1.28476	−	0.626203i	−0.0478803	−	0.0233372i
$721$	−27.4622	+	8.06363i	−1.02275	+	0.300305i
$722$	−10.2367	+	15.9287i	−0.380972	+	0.592803i
$723$	−27.6477	+	3.97514i	−1.02823	+	0.147837i
$724$	1.96475	+	4.30221i	0.0730195	+	0.159890i
$725$	0.0392674	−	0.200875i	0.00145836	−	0.00746032i
$726$	0.614268	+	4.27233i	0.0227976	+	0.158561i
$727$	11.1869	−	17.4071i	0.414898	−	0.645594i	−0.569410	−	0.822054i	$-0.692828\pi$
$727$	11.1869	−	17.4071i	0.414898	−	0.645594i	0.984308	+	0.176460i	$0.0564645\pi$
$728$	1.58450	+	5.39630i	0.0587254	+	0.200000i
$729$	2.71213	−	18.8633i	0.100449	−	0.698639i
$730$	1.20719	+	1.98643i	0.0446801	+	0.0735212i
$731$	8.83840	−	5.68010i	0.326900	−	0.210086i
$732$	12.1541	−	10.5316i	0.449228	−	0.389258i
$733$	−2.20751	+	7.51810i	−0.0815364	+	0.277688i	−0.990162	−	0.139924i	$-0.955314\pi$
$733$	−2.20751	+	7.51810i	−0.0815364	+	0.277688i	0.908626	+	0.417611i	$0.137133\pi$
$734$	2.49936	−	5.47283i	0.0922530	−	0.202006i
$735$	−7.31173	−	2.34798i	−0.269697	−	0.0866066i
$736$	−0.0156518	+	4.79581i	−0.000576934	+	0.176776i
$737$		−	16.9874i		−	0.625738i
$738$	5.44946	+	2.48869i	0.200598	+	0.0916098i
$739$	−9.88396	−	2.90219i	−0.363587	−	0.106759i	0.0948358	−	0.995493i	$-0.469767\pi$
$739$	−9.88396	−	2.90219i	−0.363587	−	0.106759i	−0.458423	+	0.888734i	$0.651586\pi$
$740$	−3.26007	−	7.64091i	−0.119842	−	0.280886i
$741$	−0.779059	+	0.500671i	−0.0286194	+	0.0183926i
$742$	−28.3245	−	24.5433i	−1.03983	−	0.901015i
$743$	25.9834	+	3.73584i	0.953237	+	0.137055i	0.601348	−	0.798987i	$-0.294630\pi$
$743$	25.9834	+	3.73584i	0.953237	+	0.137055i	0.351889	+	0.936042i	$0.385539\pi$
$744$	−9.79597	+	2.87636i	−0.359138	+	0.105452i
$745$	−27.1537	+	22.3596i	−0.994834	+	0.819192i
$746$	4.74249	+	32.9848i	0.173635	+	1.20766i
$747$	−6.57562	+	3.00299i	−0.240590	+	0.109874i
$748$	−2.56108	+	1.16961i	−0.0936423	+	0.0427650i
$749$	−6.61797	−	46.0290i	−0.241815	−	1.68186i
$750$	−21.2799	+	1.43704i	−0.777030	+	0.0524732i
$751$	−19.6037	+	5.75615i	−0.715347	+	0.210045i	−0.619100	−	0.785312i	$-0.712502\pi$
$751$	−19.6037	+	5.75615i	−0.715347	+	0.210045i	−0.0962478	+	0.995357i	$0.530684\pi$
$752$	−7.99091	−	1.14892i	−0.291399	−	0.0418968i
$753$	−16.1225	−	13.9702i	−0.587536	−	0.509103i
$754$	−0.0652878	+	0.0419579i	−0.00237764	+	0.00152802i
$755$	40.8386	−	17.4242i	1.48627	−	0.634131i
$756$	12.8190	+	3.76401i	0.466224	+	0.136896i
$757$	−18.7288	−	8.55314i	−0.680709	−	0.310869i	0.0448854	−	0.998992i	$-0.485708\pi$
$757$	−18.7288	−	8.55314i	−0.680709	−	0.310869i	−0.725594	+	0.688123i	$0.758435\pi$
$758$		−	11.8614i		−	0.430825i
$759$	20.4955	−	17.6427i	0.743940	−	0.640389i
$760$	−0.545142	−	0.175059i	−0.0197744	−	0.00635004i
$761$	16.3218	−	35.7399i	0.591667	−	1.29557i	−0.342763	−	0.939422i	$-0.611363\pi$
$761$	16.3218	−	35.7399i	0.591667	−	1.29557i	0.934430	−	0.356147i	$-0.115910\pi$
$762$	−0.944356	+	3.21618i	−0.0342104	+	0.116510i
$763$	15.4432	−	13.3816i	0.559081	−	0.484446i
$764$	−7.87442	+	5.06058i	−0.284887	+	0.183086i
$765$	1.16338	−	0.707005i	0.0420620	−	0.0255618i
$766$	1.93471	−	13.4562i	0.0699039	−	0.486192i
$767$	−2.98145	−	10.1539i	−0.107654	−	0.366635i
$768$	−1.03136	+	1.60483i	−0.0372160	+	0.0579093i
$769$	−1.35535	−	9.42668i	−0.0488752	−	0.339935i	−0.999557	−	0.0297663i	$-0.990524\pi$
$769$	−1.35535	−	9.42668i	−0.0488752	−	0.339935i	0.950682	−	0.310168i	$-0.100385\pi$
$770$	19.4720	−	2.30202i	0.701723	−	0.0829591i
$771$	23.7817	+	52.0747i	0.856478	+	1.87542i
$772$	−20.1235	+	2.89332i	−0.724260	+	0.104133i
$773$	14.4452	−	22.4772i	0.519559	−	0.808450i	−0.477994	−	0.878363i	$-0.658636\pi$
$773$	14.4452	−	22.4772i	0.519559	−	0.808450i	0.997553	+	0.0699132i	$0.0222722\pi$
$774$	−6.76465	+	1.98628i	−0.243150	+	0.0713953i
$775$	−18.5172	+	19.3176i	−0.665158	+	0.693909i
$776$	2.19748	−	2.53602i	0.0788848	−	0.0910379i
$777$	−11.3667	−	17.6870i	−0.407779	−	0.634517i
$778$	8.71585	−	7.55233i	0.312478	−	0.270764i
$779$	2.30273	+	0.676143i	0.0825040	+	0.0242253i
$780$	5.97685	+	5.44778i	0.214006	+	0.195062i
$781$	42.3779			1.51640
$782$	−3.83480	−	2.48220i	−0.137132	−	0.0887632i
$783$			0.184359i			0.00658845i
$784$	−0.747872	+	1.63761i	−0.0267097	+	0.0584861i
$785$	3.91149	+	2.65493i	0.139607	+	0.0947585i
$786$	−6.49260	−	7.49286i	−0.231583	−	0.267262i
$787$	23.6155	+	36.7464i	0.841800	+	1.30987i	0.948887	+	0.315617i	$0.102211\pi$
$787$	23.6155	+	36.7464i	0.841800	+	1.30987i	−0.107086	+	0.994250i	$0.534152\pi$
$788$	4.20100	+	3.64019i	0.149655	+	0.129676i
$789$	−4.40575	+	30.6427i	−0.156849	+	1.09091i
$790$	1.94694	+	0.0489248i	0.0692689	+	0.00174067i
$791$	26.8335	+	17.2448i	0.954089	+	0.613156i
$792$	1.87012	−	0.268883i	0.0664520	−	0.00955435i
$793$	−14.5383	+	6.63943i	−0.516271	+	0.235773i
$794$	6.60348	+	14.4596i	0.234349	+	0.513152i
$795$	−53.1338	−	9.00723i	−1.88446	−	0.319454i
$796$	22.8787	+	14.7032i	0.810913	+	0.521142i
$797$	0.176676	+	0.601704i	0.00625820	+	0.0213135i	0.962563	−	0.271058i	$-0.0873737\pi$
$797$	0.176676	+	0.601704i	0.00625820	+	0.0213135i	−0.956305	+	0.292372i	$0.905555\pi$
$798$	−1.43431	−	0.206223i	−0.0507741	−	0.00730021i
$799$	5.03564	−	5.81143i	0.178148	−	0.205594i
$800$	−0.251133	+	4.99369i	−0.00887889	+	0.176554i
$801$	6.79686	+	7.84399i	0.240155	+	0.277154i
$802$	2.90644	−	9.89842i	0.102630	−	0.349526i
$803$	−2.79511	−	1.27648i	−0.0986372	−	0.0450461i
$804$	10.9632			0.386642
$805$	20.1420	+	24.6239i	0.709910	+	0.867878i
$806$	10.1463			0.357390
$807$	33.2308	+	15.1760i	1.16978	+	0.534221i
$808$	−0.0815980	+	0.277897i	−0.00287061	+	0.00977639i
$809$	−1.88040	−	2.17009i	−0.0661113	−	0.0762965i	0.721731	−	0.692174i	$-0.243347\pi$
$809$	−1.88040	−	2.17009i	−0.0661113	−	0.0762965i	−0.787842	+	0.615878i	$0.788802\pi$
$810$	22.7061	−	6.05188i	0.797812	−	0.212642i
$811$	−3.78957	+	4.37340i	−0.133070	+	0.153571i	−0.818374	−	0.574687i	$-0.805124\pi$
$811$	−3.78957	+	4.37340i	−0.133070	+	0.153571i	0.685304	+	0.728257i	$0.259669\pi$
$812$	−0.120200	−	0.0172822i	−0.00421820	−	0.000606486i
$813$	0.754623	+	2.57001i	0.0264658	+	0.0901342i
$814$	9.23835	+	5.93713i	0.323804	+	0.208096i
$815$	−2.52671	+	14.9051i	−0.0885070	+	0.522104i
$816$	−0.754831	−	1.65285i	−0.0264244	−	0.0578613i
$817$	−2.56911	+	1.17327i	−0.0898818	+	0.0410476i
$818$	9.16044	−	1.31707i	0.320287	−	0.0460503i
$819$	3.02415	+	1.94351i	0.105672	+	0.0679116i
$820$	0.526492	−	20.9514i	0.0183859	−	0.731656i
$821$	−1.56214	+	10.8649i	−0.0545189	+	0.379188i	0.944235	+	0.329274i	$0.106804\pi$
$821$	−1.56214	+	10.8649i	−0.0545189	+	0.379188i	−0.998754	+	0.0499140i	$0.984105\pi$
$822$	−5.09685	−	4.41645i	−0.177773	−	0.154041i
$823$	16.1743	+	25.1677i	0.563801	+	0.877291i	0.999743	−	0.0226835i	$-0.00722102\pi$
$823$	16.1743	+	25.1677i	0.563801	+	0.877291i	−0.435942	+	0.899975i	$0.643585\pi$
$824$	6.31821	+	7.29160i	0.220105	+	0.254015i
$825$	22.2084	−	17.3699i	0.773196	−	0.604742i
$826$	6.87884	−	15.0626i	0.239345	−	0.524093i
$827$		−	24.7192i		−	0.859572i	−0.902931	−	0.429786i	$-0.858589\pi$
$827$		−	24.7192i		−	0.859572i	0.902931	−	0.429786i	$-0.141411\pi$
$828$	1.99983	+	2.32321i	0.0694991	+	0.0807371i
$829$	42.4718			1.47511			0.737553	−	0.675289i	$-0.235981\pi$
$829$	42.4718			1.47511			0.737553	+	0.675289i	$0.235981\pi$
$830$	18.6902	+	17.0358i	0.648746	+	0.591320i
$831$	−32.0747	−	9.41799i	−1.11266	−	0.326706i
$832$	1.43279	−	1.24152i	0.0496732	−	0.0430421i
$833$	−0.927086	−	1.44257i	−0.0321216	−	0.0499822i
$834$	23.4762	−	27.0930i	0.812916	−	0.938155i
$835$	18.1525	−	37.2429i	0.628193	−	1.28885i
$836$	0.726222	−	0.213238i	0.0251169	−	0.00737499i
$837$	13.0310	−	20.2766i	0.450417	−	0.700863i
$838$	12.0508	−	1.73264i	0.416288	−	0.0598532i
$839$	16.1329	+	35.3261i	0.556970	+	1.21959i	0.953450	+	0.301550i	$0.0975041\pi$
$839$	16.1329	+	35.3261i	0.556970	+	1.21959i	−0.396481	+	0.918043i	$0.629769\pi$
$840$	1.48566	+	12.5667i	0.0512602	+	0.433593i
$841$	4.12689	+	28.7032i	0.142307	+	0.989764i
$842$	8.79583	−	13.6866i	0.303124	−	0.471671i
$843$	17.2465	+	58.7363i	0.594002	+	2.02298i
$844$	1.34807	−	9.37603i	0.0464025	−	0.322736i
$845$	10.9226	+	17.9732i	0.375749	+	0.618296i
$846$	−4.34099	+	2.78978i	−0.149246	+	0.0959148i
$847$	5.07262	−	4.39545i	0.174297	−	0.151030i
$848$	−3.55937	+	12.1221i	−0.122229	+	0.416275i
$849$	−2.86842	+	6.28097i	−0.0984440	+	0.215562i
$850$	−3.87210	−	2.77279i	−0.132812	−	0.0951059i
$851$	−0.0581488	+	17.8171i	−0.00199332	+	0.610763i
$852$			27.3495i			0.936978i
$853$	−22.7063	−	10.3696i	−0.777448	−	0.355049i	−0.0131515	−	0.999914i	$-0.504186\pi$
$853$	−22.7063	−	10.3696i	−0.777448	−	0.355049i	−0.764297	+	0.644865i	$0.776914\pi$
$854$	−23.9957	−	7.04577i	−0.821116	−	0.241101i
$855$	−0.336610	+	0.143618i	−0.0115118	+	0.00491163i
$856$	−13.1872	+	8.47491i	−0.450730	+	0.289666i
$857$	−7.02875	−	6.09044i	−0.240097	−	0.208046i	0.526497	−	0.850177i	$-0.323505\pi$
$857$	−7.02875	−	6.09044i	−0.240097	−	0.208046i	−0.766595	+	0.642131i	$0.778050\pi$
$858$	−10.5817	−	1.52142i	−0.361253	−	0.0519404i
$859$	−38.5439	+	11.3175i	−1.31510	+	0.386149i	−0.862723	−	0.505677i	$-0.831243\pi$
$859$	−38.5439	+	11.3175i	−1.31510	+	0.386149i	−0.452379	+	0.891826i	$0.649424\pi$
$860$	15.6782	+	19.0398i	0.534623	+	0.649251i
$861$	−7.54860	−	52.5017i	−0.257256	−	1.78925i
$862$	−35.0655	+	16.0139i	−1.19433	+	0.545434i
$863$	−15.7189	+	7.17860i	−0.535079	+	0.244362i	−0.664580	−	0.747217i	$-0.731390\pi$
$863$	−15.7189	+	7.17860i	−0.535079	+	0.244362i	0.129501	+	0.991579i	$0.458662\pi$
$864$	−0.640936	−	4.45781i	−0.0218051	−	0.151658i
$865$	26.2182	+	31.8397i	0.891447	+	1.08258i
$866$	−22.7224	+	6.67189i	−0.772138	+	0.226720i
$867$	−30.3871	−	4.36900i	−1.03200	−	0.148379i
$868$	11.9986	+	10.3968i	0.407259	+	0.352892i
$869$	−2.16582	+	1.39189i	−0.0734704	+	0.0472165i
$870$	−0.160609	+	0.0685254i	−0.00544516	+	0.00232323i
$871$	−10.4540	−	3.06957i	−0.354220	−	0.104008i
$872$	−6.26579	−	2.86149i	−0.212186	−	0.0969023i
$873$		−	2.14485i		−	0.0725923i
$874$	0.925434	+	0.807196i	0.0313033	+	0.0273038i
$875$	19.7705	+	26.6301i	0.668366	+	0.900263i
$876$	0.823807	−	1.80389i	0.0278339	−	0.0609476i
$877$	−1.66330	+	5.66466i	−0.0561655	+	0.191282i	−0.982797	−	0.184688i	$-0.940872\pi$
$877$	−1.66330	+	5.66466i	−0.0561655	+	0.191282i	0.926632	+	0.375971i	$0.122691\pi$
$878$	0.778622	−	0.674680i	0.0262772	−	0.0227693i
$879$	10.9318	−	7.02544i	0.368720	−	0.236962i
$880$	−3.43262	−	5.64838i	−0.115714	−	0.190407i
$881$	−1.54156	+	10.7218i	−0.0519364	+	0.361226i	0.947236	+	0.320538i	$0.103864\pi$
$881$	−1.54156	+	10.7218i	−0.0519364	+	0.361226i	−0.999172	+	0.0406872i	$0.987045\pi$
$882$	0.324194	+	1.10410i	0.0109162	+	0.0371771i
$883$	−16.4724	+	25.6316i	−0.554341	+	0.862571i	−0.999459	−	0.0329012i	$-0.989525\pi$
$883$	−16.4724	+	25.6316i	−0.554341	+	0.862571i	0.445118	+	0.895472i	$0.353162\pi$
$884$	0.256993	+	1.78743i	0.00864362	+	0.0601177i
$885$	−2.79547	−	23.6460i	−0.0939688	−	0.794850i
$886$	−0.782097	−	1.71255i	−0.0262751	−	0.0575343i
$887$	−36.5190	+	5.25063i	−1.22619	+	0.176299i	−0.724821	−	0.688937i	$-0.758078\pi$
$887$	−36.5190	+	5.25063i	−1.22619	+	0.176299i	−0.501365	+	0.865236i	$0.667169\pi$
$888$	−3.83166	+	5.96217i	−0.128582	+	0.200077i
$889$	5.00135	−	1.46853i	0.167740	−	0.0492529i
$890$	15.9085	−	32.6391i	0.533255	−	1.09406i
$891$	−20.3424	+	23.4763i	−0.681494	+	0.786486i
$892$	1.49833	+	2.33144i	0.0501677	+	0.0780625i
$893$	−1.56226	+	1.35371i	−0.0522791	+	0.0453001i
$894$	28.7933	+	8.45447i	0.962992	+	0.282760i
$895$	40.6929	+	37.0908i	1.36021	+	1.23981i
$896$	2.96653			0.0991048
$897$	−7.15379	−	15.8009i	−0.238858	−	0.527576i
$898$			30.7801i			1.02715i
$899$	−0.0910093	+	0.199283i	−0.00303533	+	0.00664645i
$900$	1.96891	+	2.51736i	0.0656304	+	0.0839121i
$901$	−7.88045	−	9.09452i	−0.262536	−	0.302982i
$902$	14.9784	+	23.3069i	0.498727	+	0.776034i
$903$	47.1747	+	40.8771i	1.56988	+	1.36031i
$904$	1.53021	−	10.6429i	0.0508941	−	0.353976i
$905$	0.265675	−	10.5724i	0.00883135	−	0.351438i
$906$	−31.8662	−	20.4792i	−1.05868	−	0.680375i
$907$	−22.8093	+	3.27948i	−0.757370	+	0.108893i	−0.510173	−	0.860072i	$-0.670419\pi$
$907$	−22.8093	+	3.27948i	−0.757370	+	0.108893i	−0.247197	+	0.968965i	$0.579509\pi$
$908$	−4.45299	+	2.03361i	−0.147778	+	0.0674877i
$909$	0.0769037	+	0.168396i	0.00255073	+	0.00558533i
$910$	2.10188	−	12.3990i	0.0696767	−	0.411024i
$911$	−4.54236	−	2.91920i	−0.150495	−	0.0967173i	0.463226	−	0.886240i	$-0.346692\pi$
$911$	−4.54236	−	2.91920i	−0.150495	−	0.0967173i	−0.613721	+	0.789523i	$0.710328\pi$
$912$	0.137618	+	0.468683i	0.00455698	+	0.0155197i
$913$	−33.0900	−	4.75763i	−1.09512	−	0.157454i
$914$	7.61528	−	8.78850i	0.251891	−	0.290698i
$915$	−34.7478	+	9.26134i	−1.14873	+	0.306171i
$916$	12.0292	+	13.8824i	0.397456	+	0.458688i
$917$	−4.34364	+	14.7931i	−0.143440	+	0.488511i
$918$	3.90208	+	1.78202i	0.128788	+	0.0588155i
$919$	−15.4108			−0.508357			−0.254178	−	0.967157i	$-0.581805\pi$
$919$	−15.4108			−0.508357			−0.254178	+	0.967157i	$0.581805\pi$
$920$	4.72991	−	9.62434i	0.155941	−	0.317305i
$921$	−6.48707			−0.213756
$922$	1.14536	+	0.523071i	0.0377206	+	0.0172264i
$923$	7.65756	−	26.0793i	0.252052	−	0.858409i
$924$	−10.9545	−	12.6421i	−0.360375	−	0.415895i
$925$	−0.932996	+	18.5523i	−0.0306767	+	0.609996i
$926$	−8.90273	+	10.2743i	−0.292562	+	0.337634i
$927$	6.10414	+	0.877642i	0.200486	+	0.0288256i
$928$	0.0115328	+	0.0392773i	0.000378584	+	0.00128934i
$929$	28.3735	+	18.2345i	0.930904	+	0.598256i	0.915802	−	0.401630i	$-0.131556\pi$
$929$	28.3735	+	18.2345i	0.930904	+	0.598256i	0.0151020	+	0.999886i	$0.495193\pi$
$930$	22.5081	+	3.81557i	0.738069	+	0.125117i
$931$	0.191498	+	0.419321i	0.00627608	+	0.0137427i
$932$	19.3813	−	8.85115i	0.634856	−	0.289929i
$933$	37.8801	−	5.44634i	1.24014	−	0.178305i
$934$	−18.7625	−	12.0579i	−0.613927	−	0.394547i
$935$	6.29369	+	0.158155i	0.205826	+	0.00517222i
$936$	0.172456	−	1.19946i	0.00563690	−	0.0392055i
$937$	36.4029	+	31.5433i	1.18923	+	1.03048i	0.998810	+	0.0487727i	$0.0155310\pi$
$937$	36.4029	+	31.5433i	1.18923	+	1.03048i	0.190422	+	0.981702i	$0.439014\pi$
$938$	−9.21706	−	14.3420i	−0.300948	−	0.468284i
$939$	−18.5372	−	21.3930i	−0.604937	−	0.698135i
$940$	14.9363	+	10.1380i	0.487169	+	0.330667i
$941$	−17.4801	+	38.2762i	−0.569837	+	1.24777i	0.377048	+	0.926194i	$0.376939\pi$
$941$	−17.4801	+	38.2762i	−0.569837	+	1.24777i	−0.946884	+	0.321574i	$0.895788\pi$
$942$		−	4.03311i		−	0.131406i
$943$	−18.8062	+	40.8268i	−0.612416	+	1.32950i
$944$	−5.58193			−0.181676
$945$	−22.0789	−	20.1245i	−0.718228	−	0.654652i
$946$	−31.2834	−	9.18564i	−1.01711	−	0.298651i
$947$	8.14693	−	7.05935i	0.264740	−	0.229398i	−0.512368	−	0.858766i	$-0.671232\pi$
$947$	8.14693	−	7.05935i	0.264740	−	0.229398i	0.777107	+	0.629368i	$0.216686\pi$
$948$	−0.898285	−	1.39776i	−0.0291750	−	0.0453971i
$949$	−1.29061	+	1.48945i	−0.0418951	+	0.0483495i
$950$	0.924242	+	0.885947i	0.0299864	+	0.0287439i
$951$	−32.5173	+	9.54795i	−1.05445	+	0.309614i
$952$	−1.52765	+	2.37707i	−0.0495114	+	0.0770412i
$953$	10.8376	−	1.55822i	0.351065	−	0.0504755i	0.0354734	−	0.999371i	$-0.488706\pi$
$953$	10.8376	−	1.55822i	0.351065	−	0.0504755i	0.315592	+	0.948895i	$0.397797\pi$
$954$	3.35460	+	7.34555i	0.108609	+	0.237821i
$955$	20.7856	−	2.45732i	0.672607	−	0.0795169i
$956$	−0.153794	−	1.06966i	−0.00497405	−	0.0345953i
$957$	0.124796	−	0.194187i	0.00403409	−	0.00627717i
$958$	−0.0751224	−	0.255843i	−0.00242709	−	0.00826592i
$959$	−1.49252	+	10.3807i	−0.0481961	+	0.335211i
$960$	3.64531	−	2.21532i	0.117652	−	0.0714990i
$961$	−1.98342	+	1.27467i	−0.0639813	+	0.0411183i
$962$	5.32304	−	4.61244i	0.171622	−	0.148711i
$963$	−2.82283	+	9.61369i	−0.0909646	+	0.309797i
$964$	6.08250	−	13.3188i	0.195904	−	0.428971i
$965$	43.2832	+	13.8993i	1.39334	+	0.447435i
$966$	7.73125	−	26.0158i	0.248749	−	0.837045i
$967$			47.8039i			1.53727i	0.639688	+	0.768635i	$0.279064\pi$
$967$			47.8039i			1.53727i	−0.639688	+	0.768635i	$0.720936\pi$
$968$	−2.05812	−	0.939914i	−0.0661506	−	0.0302100i
$969$	−0.446422	−	0.131081i	−0.0143411	−	0.00421094i
$970$	−6.90151	+	2.94459i	−0.221594	+	0.0945452i
$971$	15.2084	−	9.77384i	0.488061	−	0.313658i	−0.273364	−	0.961911i	$-0.588136\pi$
$971$	15.2084	−	9.77384i	0.488061	−	0.313658i	0.761425	+	0.648253i	$0.224500\pi$
$972$	−4.94007	−	4.28060i	−0.158453	−	0.137300i
$973$	−55.1802	−	7.93372i	−1.76900	−	0.254343i
$974$	−0.825211	+	0.242304i	−0.0264415	+	0.00776392i
$975$	−6.67641	−	16.8057i	−0.213816	−	0.538213i
$976$	1.19976	+	8.34448i	0.0384032	+	0.267100i
$977$	50.3011	−	22.9717i	1.60927	−	0.734931i	0.610887	−	0.791718i	$-0.290813\pi$
$977$	50.3011	−	22.9717i	1.60927	−	0.734931i	0.998386	+	0.0567870i	$0.0180856\pi$
$978$	11.7319	−	5.35780i	0.375146	−	0.171324i
$979$	6.83091	+	47.5100i	0.218317	+	1.51843i
$980$	3.10761	−	2.55895i	0.0992689	−	0.0817425i
$981$	−4.22449	+	1.24042i	−0.134878	+	0.0396036i
$982$	−32.2237	−	4.63306i	−1.02830	−	0.147847i
$983$	31.6087	+	27.3891i	1.00816	+	0.873578i	0.991993	−	0.126292i	$-0.0403075\pi$
$983$	31.6087	+	27.3891i	1.00816	+	0.873578i	0.0161692	+	0.999869i	$0.494853\pi$
$984$	−15.0416	+	9.66666i	−0.479509	+	0.308162i
$985$	−4.87782	−	11.4326i	−0.155420	−	0.364272i
$986$	−0.0374117	−	0.0109851i	−0.00119143	−	0.000349836i
$987$	41.5581	+	18.9790i	1.32281	+	0.604107i
$988$		−	0.485447i		−	0.0154441i
$989$	−14.7376	−	50.8043i	−0.468627	−	1.61548i
$990$	−4.02242	−	1.29170i	−0.127841	−	0.0410529i
$991$	2.51570	−	5.50862i	0.0799140	−	0.174987i	−0.865457	−	0.500983i	$-0.832972\pi$
$991$	2.51570	−	5.50862i	0.0799140	−	0.174987i	0.945371	+	0.325995i	$0.105699\pi$
$992$	1.50779	−	5.13506i	0.0478724	−	0.163038i
$993$	−16.2398	+	14.0719i	−0.515355	+	0.446558i
$994$	35.7786	−	22.9935i	1.13483	−	0.729310i
$995$	−31.5819	−	51.9680i	−1.00121	−	1.64750i
$996$	3.07044	−	21.3554i	0.0972907	−	0.676671i
$997$	−16.2761	−	55.4314i	−0.515470	−	1.75553i	−0.645235	−	0.763984i	$-0.723241\pi$
$997$	−16.2761	−	55.4314i	−0.515470	−	1.75553i	0.129766	−	0.991545i	$-0.458578\pi$
$998$	7.96154	−	12.3884i	0.252018	−	0.392148i
$999$	−2.38117	−	16.5614i	−0.0753370	−	0.523980i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.29.5	✓	120
5.4	even	2	inner	230.2.j.a.29.8	yes	120
23.4	even	11	inner	230.2.j.a.119.8	yes	120
115.4	even	22	inner	230.2.j.a.119.5	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.29.5	✓	120	1.1	even	1	trivial
230.2.j.a.29.8	yes	120	5.4	even	2	inner
230.2.j.a.119.5	yes	120	115.4	even	22	inner
230.2.j.a.119.8	yes	120	23.4	even	11	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)

\(f(q)\)	\(=\)	\(q+(-0.909632 - 0.415415i) q^{2} +(0.537451 - 1.83039i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-0.575877 - 2.16064i) q^{5} +(-1.24925 + 1.44172i) q^{6} +(2.93634 + 0.422181i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-0.537711 - 0.345566i) q^{9} +O(q^{10})\)	\(q+(-0.909632 - 0.415415i) q^{2} +(0.537451 - 1.83039i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-0.575877 - 2.16064i) q^{5} +(-1.24925 + 1.44172i) q^{6} +(2.93634 + 0.422181i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-0.537711 - 0.345566i) q^{9} +(-0.373726 + 2.20462i) q^{10} +(-1.22793 - 2.68879i) q^{11} +(1.73527 - 0.792472i) q^{12} +(-1.87656 + 0.269809i) q^{13} +(-2.49560 - 1.60383i) q^{14} +(-4.26432 - 0.107159i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-0.719853 - 0.623756i) q^{17} +(0.345566 + 0.537711i) q^{18} +(0.167681 + 0.193515i) q^{19} +(1.25578 - 1.85014i) q^{20} +(2.35089 - 5.14774i) q^{21} +2.95591i q^{22} +(-4.04295 + 2.57964i) q^{23} -1.90766 q^{24} +(-4.33673 + 2.48853i) q^{25} +(1.81906 + 0.534125i) q^{26} +(3.40363 - 2.94926i) q^{27} +(1.60383 + 2.49560i) q^{28} +(-0.0268070 + 0.0309369i) q^{29} +(3.83445 + 1.86894i) q^{30} +(5.13506 - 1.50779i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-5.58149 + 0.802497i) q^{33} +(0.395684 + 0.866426i) q^{34} +(-0.778786 - 6.58749i) q^{35} +(-0.0909646 - 0.632673i) q^{36} +(2.00856 - 3.12538i) q^{37} +(-0.0721395 - 0.245685i) q^{38} +(-0.514704 + 3.57985i) q^{39} +(-1.91088 + 1.16127i) q^{40} +(7.88484 - 5.06728i) q^{41} +(-4.27689 + 3.70595i) q^{42} +(-3.10755 + 10.5833i) q^{43} +(1.22793 - 2.68879i) q^{44} +(-0.436988 + 1.36080i) q^{45} +(4.74922 - 0.667022i) q^{46} +8.07309i q^{47} +(1.73527 + 0.792472i) q^{48} +(1.72738 + 0.507204i) q^{49} +(4.97860 - 0.462099i) q^{50} +(-1.52860 + 0.982373i) q^{51} +(-1.43279 - 1.24152i) q^{52} +(12.5053 + 1.79799i) q^{53} +(-4.32122 + 1.26883i) q^{54} +(-5.10237 + 4.20153i) q^{55} +(-0.422181 - 2.93634i) q^{56} +(0.444328 - 0.202918i) q^{57} +(0.0372362 - 0.0170052i) q^{58} +(0.794391 + 5.52511i) q^{59} +(-2.71155 - 3.29293i) q^{60} +(8.08881 - 2.37509i) q^{61} +(-5.29738 - 0.761648i) q^{62} +(-1.43301 - 1.24171i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(1.66363 + 3.89920i) q^{65} +(5.41047 + 1.58866i) q^{66} +(5.22758 + 2.38735i) q^{67} -0.952502i q^{68} +(2.54886 + 8.78660i) q^{69} +(-2.02813 + 6.31571i) q^{70} +(-5.95566 + 13.0411i) q^{71} +(-0.180077 + 0.613288i) q^{72} +(0.785633 - 0.680754i) q^{73} +(-3.12538 + 2.00856i) q^{74} +(2.22419 + 9.27537i) q^{75} +(-0.0364407 + 0.253450i) q^{76} +(-2.47046 - 8.41360i) q^{77} +(1.95531 - 3.04253i) q^{78} +(-0.123952 - 0.862106i) q^{79} +(2.22060 - 0.262524i) q^{80} +(-4.36559 - 9.55931i) q^{81} +(-9.27732 + 1.33388i) q^{82} +(6.11445 - 9.51428i) q^{83} +(5.42991 - 1.59436i) q^{84} +(-0.933166 + 1.91455i) q^{85} +(7.22320 - 8.33602i) q^{86} +(0.0422192 + 0.0656944i) q^{87} +(-2.23393 + 1.93571i) q^{88} +(-15.5804 - 4.57482i) q^{89} +(0.962797 - 1.05630i) q^{90} -5.62412 q^{91} +(-4.59713 - 1.36615i) q^{92} -10.2095i q^{93} +(3.35368 - 7.34354i) q^{94} +(0.321552 - 0.473740i) q^{95} +(-1.24925 - 1.44172i) q^{96} +(1.81420 + 2.82294i) q^{97} +(-1.36058 - 1.17895i) q^{98} +(-0.268883 + 1.87012i) 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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