LMFDB - Embedded newform 230.2.j.a.9.5

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			9.5
Character	$\chi$	$=$	230.9
Dual form			230.2.j.a.179.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 - 0.959493i) q^{2} +(1.78070 - 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.352110 - 2.20817i) q^{5} +(-1.98217 - 1.27386i) q^{6} +(3.91611 + 1.78843i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.363147 - 2.52574i) q^{9} +O(q^{10})$	\(q+(-0.281733 - 0.959493i) q^{2} +(1.78070 - 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.352110 - 2.20817i) q^{5} +(-1.98217 - 1.27386i) q^{6} +(3.91611 + 1.78843i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.363147 - 2.52574i) q^{9} +(-2.01952 + 0.959961i) q^{10} +(-1.25450 - 0.368356i) q^{11} +(-0.663820 + 2.26076i) q^{12} +(-3.30504 + 1.50936i) q^{13} +(0.612689 - 4.26134i) q^{14} +(-4.03418 - 3.38879i) q^{15} +(0.415415 - 0.909632i) q^{16} +(2.01019 - 3.12792i) q^{17} +(-2.52574 + 0.363147i) q^{18} +(-6.15283 + 3.95418i) q^{19} +(1.49004 + 1.66727i) q^{20} +(9.73296 - 2.85785i) q^{21} +1.30747i q^{22} +(1.70861 + 4.48114i) q^{23} +2.35621 q^{24} +(-4.75204 + 1.55504i) q^{25} +(2.37936 + 2.74593i) q^{26} +(0.571055 + 0.888580i) q^{27} +(-4.26134 + 0.612689i) q^{28} +(-1.95209 - 1.25453i) q^{29} +(-2.11496 + 4.82550i) q^{30} +(3.09222 - 3.56861i) q^{31} +(-0.989821 - 0.142315i) q^{32} +(-2.80227 + 1.27975i) q^{33} +(-3.56755 - 1.04753i) q^{34} +(2.57025 - 9.27717i) q^{35} +(1.06002 + 2.32112i) q^{36} +(5.75617 + 0.827612i) q^{37} +(5.52746 + 4.78957i) q^{38} +(-3.55637 + 7.78737i) q^{39} +(1.17994 - 1.89941i) q^{40} +(0.430941 + 2.99726i) q^{41} +(-5.48418 - 8.53356i) q^{42} +(2.51557 - 2.17975i) q^{43} +(1.25450 - 0.368356i) q^{44} +(-5.70513 + 0.0874487i) q^{45} +(3.81826 - 2.90188i) q^{46} -5.43158i q^{47} +(-0.663820 - 2.26076i) q^{48} +(7.55344 + 8.71714i) q^{49} +(2.83085 + 4.12144i) q^{50} +(-1.24679 - 8.67159i) q^{51} +(1.96436 - 3.05660i) q^{52} +(-4.88892 - 2.23270i) q^{53} +(0.691701 - 0.798266i) q^{54} +(-0.371669 + 2.89986i) q^{55} +(1.78843 + 3.91611i) q^{56} +(-4.85510 + 16.5350i) q^{57} +(-0.653748 + 2.22646i) q^{58} +(2.87534 + 6.29611i) q^{59} +(5.22589 + 0.669791i) q^{60} +(-6.18005 + 7.13216i) q^{61} +(-4.29523 - 1.96157i) q^{62} +(5.93923 - 9.24163i) q^{63} +(0.142315 + 0.989821i) q^{64} +(4.49667 + 6.76664i) q^{65} +(2.01740 + 2.32821i) q^{66} +(0.940726 + 3.20382i) q^{67} +3.71816i q^{68} +(9.95688 + 5.34322i) q^{69} +(-9.62551 + 0.147541i) q^{70} +(12.8774 - 3.78114i) q^{71} +(1.92846 - 1.67102i) q^{72} +(7.36715 + 11.4635i) q^{73} +(-0.827612 - 5.75617i) q^{74} +(-6.06256 + 10.1014i) q^{75} +(3.03830 - 6.65294i) q^{76} +(-4.25400 - 3.68611i) q^{77} +(8.47387 + 1.21836i) q^{78} +(-6.84642 - 14.9916i) q^{79} +(-2.15489 - 0.597017i) q^{80} +(9.73300 + 2.85787i) q^{81} +(2.75444 - 1.25791i) q^{82} +(-9.90631 - 1.42431i) q^{83} +(-6.64281 + 7.66622i) q^{84} +(-7.61478 - 3.33747i) q^{85} +(-2.80018 - 1.79956i) q^{86} +(-5.41183 + 0.778103i) q^{87} +(-0.706869 - 1.09991i) q^{88} +(-6.13634 - 7.08172i) q^{89} +(1.69123 + 5.44940i) q^{90} -15.6423 q^{91} +(-3.86006 - 2.84603i) q^{92} -11.1259i q^{93} +(-5.21156 + 1.53025i) q^{94} +(10.8980 + 12.1942i) q^{95} +(-1.98217 + 1.27386i) q^{96} +(-4.82382 + 0.693560i) q^{97} +(6.23598 - 9.70338i) q^{98} +(-1.38594 + 3.03478i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{5}{11}\right)$

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
$3$	1.78070	−	1.54299i	1.02809	−	0.890844i	0.0340012	−	0.999422i	$-0.489175\pi$
$3$	1.78070	−	1.54299i	1.02809	−	0.890844i	0.994088	+	0.108577i	$0.0346295\pi$
$4$	−0.841254	+	0.540641i	−0.420627	+	0.270320i
$5$	−0.352110	−	2.20817i	−0.157468	−	0.987524i
$5$	−0.352110	−	2.20817i	−0.157468	−	0.987524i
$6$	−1.98217	−	1.27386i	−0.809217	−	0.520052i
$7$	3.91611	+	1.78843i	1.48015	+	0.675963i	0.981609	−	0.190902i	$-0.0611414\pi$
$7$	3.91611	+	1.78843i	1.48015	+	0.675963i	0.498543	+	0.866865i	$0.333869\pi$
$8$	0.755750	+	0.654861i	0.267198	+	0.231528i
$9$	0.363147	−	2.52574i	0.121049	−	0.841913i
$10$	−2.01952	+	0.959961i	−0.638629	+	0.303566i
$11$	−1.25450	−	0.368356i	−0.378247	−	0.111063i	0.0870819	−	0.996201i	$-0.472246\pi$
$11$	−1.25450	−	0.368356i	−0.378247	−	0.111063i	−0.465329	+	0.885138i	$0.654064\pi$
$12$	−0.663820	+	2.26076i	−0.191628	+	0.652626i
$13$	−3.30504	+	1.50936i	−0.916654	+	0.418622i	−0.817157	−	0.576416i	$-0.804451\pi$
$13$	−3.30504	+	1.50936i	−0.916654	+	0.418622i	−0.0994977	+	0.995038i	$0.531724\pi$
$14$	0.612689	−	4.26134i	0.163748	−	1.13889i
$15$	−4.03418	−	3.38879i	−1.04162	−	0.874983i
$16$	0.415415	−	0.909632i	0.103854	−	0.227408i
$17$	2.01019	−	3.12792i	0.487543	−	0.758631i	−0.507113	−	0.861880i	$-0.669287\pi$
$17$	2.01019	−	3.12792i	0.487543	−	0.758631i	0.994656	+	0.103248i	$0.0329236\pi$
$18$	−2.52574	+	0.363147i	−0.595323	+	0.0855945i
$19$	−6.15283	+	3.95418i	−1.41156	+	0.907152i	−0.999991	−	0.00422920i	$-0.998654\pi$
$19$	−6.15283	+	3.95418i	−1.41156	+	0.907152i	−0.411564	+	0.911381i	$0.635017\pi$
$20$	1.49004	+	1.66727i	0.333183	+	0.372812i
$21$	9.73296	−	2.85785i	2.12391	−	0.623635i
$22$			1.30747i			0.278753i
$23$	1.70861	+	4.48114i	0.356270	+	0.934383i
$23$	1.70861	+	4.48114i	0.356270	+	0.934383i
$24$	2.35621			0.480959
$25$	−4.75204	+	1.55504i	−0.950407	+	0.311008i
$26$	2.37936	+	2.74593i	0.466631	+	0.538521i
$27$	0.571055	+	0.888580i	0.109900	+	0.171007i
$28$	−4.26134	+	0.612689i	−0.805318	+	0.115787i
$29$	−1.95209	−	1.25453i	−0.362494	−	0.232961i	0.346697	−	0.937977i	$-0.387303\pi$
$29$	−1.95209	−	1.25453i	−0.362494	−	0.232961i	−0.709191	+	0.705016i	$0.750940\pi$
$30$	−2.11496	+	4.82550i	−0.386138	+	0.881013i
$31$	3.09222	−	3.56861i	0.555378	−	0.640941i	−0.406749	−	0.913540i	$-0.633338\pi$
$31$	3.09222	−	3.56861i	0.555378	−	0.640941i	0.962128	+	0.272599i	$0.0878832\pi$
$32$	−0.989821	−	0.142315i	−0.174977	−	0.0251579i
$33$	−2.80227	+	1.27975i	−0.487812	+	0.222776i
$34$	−3.56755	−	1.04753i	−0.611830	−	0.179649i
$35$	2.57025	−	9.27717i	0.434452	−	1.56813i
$36$	1.06002	+	2.32112i	0.176670	+	0.386853i
$37$	5.75617	+	0.827612i	0.946308	+	0.136059i	0.598156	−	0.801379i	$-0.295900\pi$
$37$	5.75617	+	0.827612i	0.946308	+	0.136059i	0.348152	+	0.937438i	$0.386809\pi$
$38$	5.52746	+	4.78957i	0.896673	+	0.776971i
$39$	−3.55637	+	7.78737i	−0.569475	+	1.24698i
$40$	1.17994	−	1.89941i	0.186564	−	0.300323i
$41$	0.430941	+	2.99726i	0.0673017	+	0.468093i	0.995404	+	0.0957675i	$0.0305305\pi$
$41$	0.430941	+	2.99726i	0.0673017	+	0.468093i	−0.928102	+	0.372326i	$0.878560\pi$
$42$	−5.48418	−	8.53356i	−0.846228	−	1.31676i
$43$	2.51557	−	2.17975i	0.383621	−	0.332409i	−0.441608	−	0.897208i	$-0.645592\pi$
$43$	2.51557	−	2.17975i	0.383621	−	0.332409i	0.825229	+	0.564799i	$0.191046\pi$
$44$	1.25450	−	0.368356i	0.189124	−	0.0555317i
$45$	−5.70513	+	0.0874487i	−0.850471	+	0.0130361i
$46$	3.81826	−	2.90188i	0.562971	−	0.427859i
$47$		−	5.43158i		−	0.792277i	−0.918191	−	0.396138i	$-0.870350\pi$
$47$		−	5.43158i		−	0.792277i	0.918191	−	0.396138i	$-0.129650\pi$
$48$	−0.663820	−	2.26076i	−0.0958142	−	0.326313i
$49$	7.55344	+	8.71714i	1.07906	+	1.24531i
$50$	2.83085	+	4.12144i	0.400343	+	0.582860i
$51$	−1.24679	−	8.67159i	−0.174585	−	1.21427i
$52$	1.96436	−	3.05660i	0.272407	−	0.423874i
$53$	−4.88892	−	2.23270i	−0.671545	−	0.306684i	0.0503049	−	0.998734i	$-0.483981\pi$
$53$	−4.88892	−	2.23270i	−0.671545	−	0.306684i	−0.721850	+	0.692050i	$0.756708\pi$
$54$	0.691701	−	0.798266i	0.0941286	−	0.108630i
$55$	−0.371669	+	2.89986i	−0.0501158	+	0.391017i
$56$	1.78843	+	3.91611i	0.238989	+	0.523313i
$57$	−4.85510	+	16.5350i	−0.643074	+	2.19011i
$58$	−0.653748	+	2.22646i	−0.0858414	+	0.292349i
$59$	2.87534	+	6.29611i	0.374337	+	0.819683i	0.999240	+	0.0389811i	$0.0124112\pi$
$59$	2.87534	+	6.29611i	0.374337	+	0.819683i	−0.624903	+	0.780702i	$0.714862\pi$
$60$	5.22589	+	0.669791i	0.674660	+	0.0864696i
$61$	−6.18005	+	7.13216i	−0.791274	+	0.913179i	−0.997869	−	0.0652474i	$-0.979216\pi$
$61$	−6.18005	+	7.13216i	−0.791274	+	0.913179i	0.206595	+	0.978427i	$0.433762\pi$
$62$	−4.29523	−	1.96157i	−0.545495	−	0.249119i
$63$	5.93923	−	9.24163i	0.748273	−	1.16434i
$64$	0.142315	+	0.989821i	0.0177894	+	0.123728i
$65$	4.49667	+	6.76664i	0.557743	+	0.839298i
$66$	2.01740	+	2.32821i	0.248325	+	0.286582i
$67$	0.940726	+	3.20382i	0.114928	+	0.391409i	0.996786	−	0.0801056i	$-0.0255257\pi$
$67$	0.940726	+	3.20382i	0.114928	+	0.391409i	−0.881858	+	0.471514i	$0.843708\pi$
$68$			3.71816i			0.450893i
$69$	9.95688	+	5.34322i	1.19867	+	0.643248i
$70$	−9.62551	+	0.147541i	−1.15047	+	0.0176345i
$71$	12.8774	−	3.78114i	1.52826	−	0.448739i	0.593746	−	0.804653i	$-0.297648\pi$
$71$	12.8774	−	3.78114i	1.52826	−	0.448739i	0.934519	+	0.355914i	$0.115830\pi$
$72$	1.92846	−	1.67102i	0.227271	−	0.196931i
$73$	7.36715	+	11.4635i	0.862260	+	1.34170i	0.938738	+	0.344631i	$0.111996\pi$
$73$	7.36715	+	11.4635i	0.862260	+	1.34170i	−0.0764786	+	0.997071i	$0.524368\pi$
$74$	−0.827612	−	5.75617i	−0.0962080	−	0.669141i
$75$	−6.06256	+	10.1014i	−0.700044	+	1.16641i
$76$	3.03830	−	6.65294i	0.348516	−	0.763144i
$77$	−4.25400	−	3.68611i	−0.484788	−	0.420072i
$78$	8.47387	+	1.21836i	0.959477	+	0.137952i
$79$	−6.84642	−	14.9916i	−0.770282	−	1.68668i	−0.726030	−	0.687663i	$-0.758637\pi$
$79$	−6.84642	−	14.9916i	−0.770282	−	1.68668i	−0.0442519	−	0.999020i	$-0.514090\pi$
$80$	−2.15489	−	0.597017i	−0.240925	−	0.0667485i
$81$	9.73300	+	2.85787i	1.08144	+	0.317541i
$82$	2.75444	−	1.25791i	0.304177	−	0.138913i
$83$	−9.90631	−	1.42431i	−1.08736	−	0.156339i	−0.424755	−	0.905308i	$-0.639640\pi$
$83$	−9.90631	−	1.42431i	−1.08736	−	0.156339i	−0.662604	+	0.748970i	$0.730549\pi$
$84$	−6.64281	+	7.66622i	−0.724790	+	0.836453i
$85$	−7.61478	−	3.33747i	−0.825939	−	0.362000i
$86$	−2.80018	−	1.79956i	−0.301951	−	0.194052i
$87$	−5.41183	+	0.778103i	−0.580209	+	0.0834214i
$88$	−0.706869	−	1.09991i	−0.0753525	−	0.117251i
$89$	−6.13634	−	7.08172i	−0.650451	−	0.750660i	0.330735	−	0.943724i	$-0.392703\pi$
$89$	−6.13634	−	7.08172i	−0.650451	−	0.750660i	−0.981186	+	0.193063i	$0.938158\pi$
$90$	1.69123	+	5.44940i	0.178271	+	0.574417i
$91$	−15.6423			−1.63976
$92$	−3.86006	−	2.84603i	−0.402439	−	0.296720i
$93$		−	11.1259i		−	1.15370i
$94$	−5.21156	+	1.53025i	−0.537531	+	0.157833i
$95$	10.8980	+	12.1942i	1.11811	+	1.25110i
$96$	−1.98217	+	1.27386i	−0.202304	+	0.130013i
$97$	−4.82382	+	0.693560i	−0.489784	+	0.0704203i	−0.382783	−	0.923838i	$-0.625034\pi$
$97$	−4.82382	+	0.693560i	−0.489784	+	0.0704203i	−0.107002	+	0.994259i	$0.534125\pi$
$98$	6.23598	−	9.70338i	0.629929	−	0.980189i
$99$	−1.38594	+	3.03478i	−0.139292	+	0.305007i
$100$	3.15695	−	3.87733i	0.315695	−	0.387733i
$101$	−0.244633	+	1.70146i	−0.0243419	+	0.169301i	−0.998366	−	0.0571427i	$-0.981801\pi$
$101$	−0.244633	+	1.70146i	−0.0243419	+	0.169301i	0.974024	+	0.226444i	$0.0727101\pi$
$102$	−7.96907	+	3.63935i	−0.789055	+	0.360350i
$103$	3.10262	−	10.5665i	0.305710	−	1.04115i	−0.653139	−	0.757238i	$-0.726548\pi$
$103$	3.10262	−	10.5665i	0.305710	−	1.04115i	0.958849	−	0.283915i	$-0.0916333\pi$
$104$	−3.48621	−	1.02364i	−0.341851	−	0.100376i
$105$	−9.73770	−	20.4858i	−0.950303	−	1.99921i
$106$	−0.764887	+	5.31991i	−0.0742924	+	0.516715i
$107$	−11.8399	−	10.2593i	−1.14460	−	0.991806i	−0.999997	−	0.00231658i	$-0.999263\pi$
$107$	−11.8399	−	10.2593i	−1.14460	−	0.991806i	−0.144607	−	0.989489i	$-0.546192\pi$
$108$	−0.960805	−	0.438785i	−0.0924535	−	0.0422221i
$109$	−12.3075	−	7.90955i	−1.17885	−	0.757598i	−0.203672	−	0.979039i	$-0.565287\pi$
$109$	−12.3075	−	7.90955i	−1.17885	−	0.757598i	−0.975174	+	0.221441i	$0.928924\pi$
$110$	2.88711	−	0.460372i	0.275275	−	0.0438947i
$111$	11.5270	−	7.40797i	1.09410	−	0.703133i
$112$	3.25362	−	2.81928i	0.307439	−	0.266397i
$113$	2.42346	+	8.25354i	0.227980	+	0.776428i	0.991439	+	0.130572i	$0.0416812\pi$
$113$	2.42346	+	8.25354i	0.227980	+	0.776428i	−0.763459	+	0.645856i	$0.776501\pi$
$114$	17.2330			1.61402
$115$	9.29351	−	5.35076i	0.866625	−	0.498961i
$116$	2.32046			0.215449
$117$	2.61204	+	8.89580i	0.241483	+	0.822417i
$118$	5.23100	−	4.53268i	0.481552	−	0.417267i
$119$	13.4662	−	8.65420i	1.23444	−	0.793329i
$120$	−0.829644	−	5.20291i	−0.0757358	−	0.474958i
$121$	−7.81570	−	5.02284i	−0.710518	−	0.456622i
$122$	8.58438	+	3.92035i	0.777193	+	0.354932i
$123$	5.39211	+	4.67229i	0.486191	+	0.421286i
$124$	−0.672003	+	4.67388i	−0.0603476	+	0.419727i
$125$	5.10703	+	9.94577i	0.456787	+	0.889576i
$126$	−10.5405	−	3.09498i	−0.939027	−	0.275723i
$127$	−1.77591	+	6.04819i	−0.157586	+	0.536690i	−0.999998	−	0.00214510i	$-0.999317\pi$
$127$	−1.77591	+	6.04819i	−0.157586	+	0.536690i	0.842411	+	0.538835i	$0.181135\pi$
$128$	0.909632	−	0.415415i	0.0804009	−	0.0367178i
$129$	1.11615	−	7.76299i	0.0982714	−	0.683493i
$130$	5.22568	−	6.22091i	0.458323	−	0.545610i
$131$	−3.36642	+	7.37143i	−0.294125	+	0.644045i	−0.997787	−	0.0664903i	$-0.978820\pi$
$131$	−3.36642	+	7.37143i	−0.294125	+	0.644045i	0.703662	+	0.710535i	$0.251547\pi$
$132$	1.66553	−	2.59162i	0.144966	−	0.225571i
$133$	−31.1669	+	4.48113i	−2.70252	+	0.388563i
$134$	2.80901	−	1.80524i	0.242661	−	0.155949i
$135$	1.76106	−	1.57387i	0.151568	−	0.135457i
$136$	3.56755	−	1.04753i	0.305915	−	0.0898247i
$137$			1.57636i			0.134678i	0.997730	+	0.0673389i	$0.0214509\pi$
$137$			1.57636i			0.134678i	−0.997730	+	0.0673389i	$0.978549\pi$
$138$	2.32161	−	11.0589i	0.197628	−	0.941397i
$139$	7.81443			0.662812			0.331406	−	0.943488i	$-0.392477\pi$
$139$	7.81443			0.662812			0.331406	+	0.943488i	$0.392477\pi$
$140$	2.85338	+	9.19404i	0.241155	+	0.777038i
$141$	−8.38085	−	9.67202i	−0.705795	−	0.814531i
$142$	−7.25596	−	11.2905i	−0.608907	−	0.947477i
$143$	4.70217	−	0.676070i	0.393215	−	0.0565358i
$144$	−2.14664	−	1.37956i	−0.178886	−	0.114963i
$145$	−2.08287	+	4.75229i	−0.172973	+	0.394656i
$146$	8.92359	−	10.2984i	0.738522	−	0.852299i
$147$	26.9009	+	3.86776i	2.21875	+	0.319008i
$148$	−5.28984	+	2.41579i	−0.434822	+	0.198577i
$149$	−13.5818	−	3.98799i	−1.11267	−	0.326709i	−0.326794	−	0.945096i	$-0.605968\pi$
$149$	−13.5818	−	3.98799i	−1.11267	−	0.326709i	−0.785874	+	0.618387i	$0.787787\pi$
$150$	11.4002	+	2.97109i	0.930826	+	0.242589i
$151$	−3.59910	−	7.88093i	−0.292890	−	0.641341i	0.704790	−	0.709416i	$-0.251041\pi$
$151$	−3.59910	−	7.88093i	−0.292890	−	0.641341i	−0.997680	+	0.0680756i	$0.978314\pi$
$152$	−7.23943	−	1.04087i	−0.587196	−	0.0844260i
$153$	−7.17031	−	6.21311i	−0.579685	−	0.502300i
$154$	−2.33831	+	5.12018i	−0.188426	+	0.412596i
$155$	−8.96890	−	5.57160i	−0.720399	−	0.447522i
$156$	−1.21836	−	8.47387i	−0.0975468	−	0.678453i
$157$	7.84285	+	12.2037i	0.625927	+	0.973962i	0.998935	+	0.0461338i	$0.0146901\pi$
$157$	7.84285	+	12.2037i	0.625927	+	0.973962i	−0.373008	+	0.927828i	$0.621674\pi$
$158$	−12.4554	+	10.7927i	−0.990902	+	0.858621i
$159$	−12.1507	+	3.56778i	−0.963616	+	0.282943i
$160$	0.0342706	+	2.23581i	0.00270933	+	0.176756i
$161$	−1.32310	+	20.6044i	−0.104275	+	1.62385i
$162$		−	10.1439i		−	0.796980i
$163$	−1.26950	−	4.32352i	−0.0994349	−	0.338644i	0.894717	−	0.446633i	$-0.147377\pi$
$163$	−1.26950	−	4.32352i	−0.0994349	−	0.338644i	−0.994152	+	0.107989i	$0.965559\pi$
$164$	−1.98297	−	2.28847i	−0.154844	−	0.178700i
$165$	3.81262	+	5.73727i	0.296812	+	0.446646i
$166$	1.42431	+	9.90631i	0.110548	+	0.768879i
$167$	−0.494968	+	0.770186i	−0.0383018	+	0.0595988i	−0.859876	−	0.510502i	$-0.829460\pi$
$167$	−0.494968	+	0.770186i	−0.0383018	+	0.0595988i	0.821575	+	0.570101i	$0.193096\pi$
$168$	9.22718	+	4.21391i	0.711892	+	0.325110i
$169$	0.131948	−	0.152276i	0.0101499	−	0.0117136i
$170$	−1.05695	+	8.24661i	−0.0810643	+	0.632486i
$171$	7.75286	+	16.9764i	0.592876	+	1.29822i
$172$	−0.937768	+	3.19374i	−0.0715041	+	0.243521i
$173$	3.71057	−	12.6370i	0.282109	−	0.960776i	−0.689520	−	0.724267i	$-0.742178\pi$
$173$	3.71057	−	12.6370i	0.282109	−	0.960776i	0.971629	−	0.236509i	$-0.0760034\pi$
$174$	2.27127	+	4.97339i	0.172185	+	0.377032i
$175$	−21.3906	−	2.40898i	−1.61698	−	0.182101i
$176$	−0.856208	+	0.988116i	−0.0645391	+	0.0744821i
$177$	14.8349	+	6.77489i	1.11506	+	0.509232i
$178$	−5.06605	+	7.88293i	−0.379716	+	0.590850i
$179$	−0.708769	−	4.92960i	−0.0529759	−	0.368455i	−0.999014	−	0.0443996i	$-0.985863\pi$
$179$	−0.708769	−	4.92960i	−0.0529759	−	0.368455i	0.946038	−	0.324056i	$-0.105047\pi$
$180$	4.75219	−	3.15799i	0.354207	−	0.235383i
$181$	4.82808	+	5.57190i	0.358868	+	0.414156i	0.906260	−	0.422720i	$-0.138925\pi$
$181$	4.82808	+	5.57190i	0.358868	+	0.414156i	−0.547392	+	0.836876i	$0.684379\pi$
$182$	4.40695	+	15.0087i	0.326665	+	1.11252i
$183$			22.2360i			1.64373i
$184$	−1.64324	+	4.50552i	−0.121142	+	0.332152i
$185$	−0.199296	−	13.0020i	−0.0146525	−	0.955927i
$186$	−10.6752	+	3.13452i	−0.782744	+	0.229834i
$187$	−3.67398	+	3.18352i	−0.268668	+	0.232802i
$188$	2.93653	+	4.56933i	0.214169	+	0.333253i
$189$	0.647156	+	4.50107i	0.0470737	+	0.327405i
$190$	8.62992	−	13.8920i	0.626080	−	1.00783i
$191$	9.03003	−	19.7730i	0.653390	−	1.43072i	−0.235165	−	0.971955i	$-0.575563\pi$
$191$	9.03003	−	19.7730i	0.653390	−	1.43072i	0.888555	−	0.458769i	$-0.151710\pi$
$192$	1.78070	+	1.54299i	0.128511	+	0.111356i
$193$	−4.41957	−	0.635438i	−0.318127	−	0.0457398i	−0.0185985	−	0.999827i	$-0.505920\pi$
$193$	−4.41957	−	0.635438i	−0.318127	−	0.0457398i	−0.299529	+	0.954087i	$0.596830\pi$
$194$	2.02449	+	4.43302i	0.145350	+	0.318272i
$195$	18.4481	+	5.11107i	1.32109	+	0.366011i
$196$	−11.0672	−	3.24962i	−0.790514	−	0.232116i
$197$	8.24566	−	3.76567i	0.587479	−	0.268293i	−0.0994199	−	0.995046i	$-0.531699\pi$
$197$	8.24566	−	3.76567i	0.587479	−	0.268293i	0.686899	+	0.726753i	$0.258971\pi$
$198$	3.30232	+	0.474802i	0.234686	+	0.0337427i
$199$	−4.76383	+	5.49775i	−0.337699	+	0.389725i	−0.899045	−	0.437856i	$-0.855738\pi$
$199$	−4.76383	+	5.49775i	−0.337699	+	0.389725i	0.561346	+	0.827581i	$0.310284\pi$
$200$	−4.60968	−	1.93670i	−0.325954	−	0.136946i
$201$	6.61861	+	4.25352i	0.466840	+	0.300020i
$202$	1.70146	−	0.244633i	0.119714	−	0.0172123i
$203$	−5.40097	−	8.40408i	−0.379074	−	0.589851i
$204$	5.73708	+	6.62094i	0.401676	+	0.463559i
$205$	6.46672	−	2.00696i	0.451656	−	0.140172i
$206$	−11.0126			−0.767287
$207$	11.9387	−	2.68819i	0.829796	−	0.186842i
$208$			3.63339i			0.251930i
$209$	9.17529	−	2.69411i	0.634668	−	0.186355i
$210$	−16.9125	+	15.1148i	−1.16707	+	1.04302i
$211$	−20.4414	+	13.1369i	−1.40724	+	0.904381i	−0.999960	−	0.00892008i	$-0.997161\pi$
$211$	−20.4414	+	13.1369i	−1.40724	+	0.904381i	−0.407284	+	0.913301i	$0.633524\pi$
$212$	5.31991	−	0.764887i	0.365373	−	0.0525327i
$213$	17.0965	−	26.6027i	1.17144	−	1.82279i
$214$	−6.50806	+	14.2507i	−0.444882	+	0.974156i
$215$	−5.69903	−	4.78729i	−0.388670	−	0.326491i
$216$	−0.150321	+	1.04551i	−0.0102280	+	0.0711376i
$217$	18.4917	−	8.44487i	1.25530	−	0.573275i
$218$	−4.12174	+	14.0373i	−0.279159	+	0.950729i
$219$	30.8068	+	9.04568i	2.08173	+	0.611250i
$220$	−1.25512	−	2.64046i	−0.0846199	−	0.178020i
$221$	−1.92260	+	13.3720i	−0.129328	+	0.899499i
$222$	−10.3554	−	8.97303i	−0.695011	−	0.602230i
$223$	17.7521	+	8.10713i	1.18877	+	0.542894i	0.908847	−	0.417129i	$-0.136964\pi$
$223$	17.7521	+	8.10713i	1.18877	+	0.542894i	0.279924	+	0.960022i	$0.409691\pi$
$224$	−3.62173	−	2.32755i	−0.241987	−	0.155516i
$225$	2.20194	+	12.5671i	0.146796	+	0.837808i
$226$	7.23645	−	4.65058i	0.481361	−	0.309352i
$227$	−5.08672	+	4.40767i	−0.337618	+	0.292547i	−0.807124	−	0.590382i	$-0.798977\pi$
$227$	−5.08672	+	4.40767i	−0.337618	+	0.292547i	0.469507	+	0.882929i	$0.344432\pi$
$228$	−4.85510	−	16.5350i	−0.321537	−	1.09505i
$229$	19.3357			1.27774			0.638870	−	0.769315i	$-0.279402\pi$
$229$	19.3357			1.27774			0.638870	+	0.769315i	$0.279402\pi$
$230$	−7.75230	−	7.40958i	−0.511172	−	0.488573i
$231$	−13.2627			−0.872624
$232$	−0.653748	−	2.22646i	−0.0429207	−	0.146174i
$233$	−6.37223	+	5.52157i	−0.417459	+	0.361730i	−0.838118	−	0.545489i	$-0.816344\pi$
$233$	−6.37223	+	5.52157i	−0.417459	+	0.361730i	0.420660	+	0.907219i	$0.361799\pi$
$234$	7.79956	−	5.01247i	0.509873	−	0.327676i
$235$	−11.9938	+	1.91251i	−0.782392	+	0.124759i
$236$	−5.82282	−	3.74210i	−0.379033	−	0.243590i
$237$	−35.3232	−	16.1316i	−2.29449	−	1.04786i
$238$	−12.0975	−	10.4825i	−0.784165	−	0.679483i
$239$	2.70204	−	18.7931i	0.174780	−	1.21562i	−0.693835	−	0.720134i	$-0.744080\pi$
$239$	2.70204	−	18.7931i	0.174780	−	1.21562i	0.868615	−	0.495488i	$-0.165011\pi$
$240$	−4.75842	+	2.26187i	−0.307154	+	0.146003i
$241$	3.65232	+	1.07242i	0.235267	+	0.0690806i	0.397241	−	0.917714i	$-0.369968\pi$
$241$	3.65232	+	1.07242i	0.235267	+	0.0690806i	−0.161974	+	0.986795i	$0.551786\pi$
$242$	−2.61745	+	8.91420i	−0.168256	+	0.573027i
$243$	18.8588	−	8.61253i	1.20979	−	0.552494i
$244$	1.34305	−	9.34114i	0.0859802	−	0.598005i
$245$	16.5893	−	19.7487i	1.05985	−	1.26170i
$246$	2.96390	−	6.49003i	0.188971	−	0.413789i
$247$	14.3671	−	22.3556i	0.914155	−	1.42245i
$248$	4.67388	−	0.672003i	0.296792	−	0.0426722i
$249$	−19.8379	+	12.7490i	−1.25718	+	0.807938i
$250$	8.10407	−	7.70221i	0.512547	−	0.487130i
$251$	−23.4540	+	6.88672i	−1.48041	+	0.434686i	−0.919466	−	0.393170i	$-0.871378\pi$
$251$	−23.4540	+	6.88672i	−1.48041	+	0.434686i	−0.560940	+	0.827857i	$0.689560\pi$
$252$			10.9855i			0.692024i
$253$	−0.492803	−	6.25099i	−0.0309823	−	0.392996i
$254$	6.30353			0.395518
$255$	−18.7093	+	5.80647i	−1.17162	+	0.363615i
$256$	−0.654861	−	0.755750i	−0.0409288	−	0.0472343i
$257$	12.9947	+	20.2202i	0.810590	+	1.26130i	0.962059	+	0.272840i	$0.0879630\pi$
$257$	12.9947	+	20.2202i	0.810590	+	1.26130i	−0.151470	+	0.988462i	$0.548401\pi$
$258$	−7.76299	+	1.11615i	−0.483302	+	0.0694884i
$259$	21.0617	+	13.5355i	1.30871	+	0.841057i
$260$	−7.44116	−	3.26138i	−0.461481	−	0.202262i
$261$	−3.87752	+	4.47490i	−0.240013	+	0.276989i
$262$	8.02127	+	1.15328i	0.495555	+	0.0712501i
$263$	−8.75091	+	3.99641i	−0.539604	+	0.246429i	−0.666524	−	0.745484i	$-0.732218\pi$
$263$	−8.75091	+	3.99641i	−0.539604	+	0.246429i	0.126919	+	0.991913i	$0.459491\pi$
$264$	−2.95587	−	0.867922i	−0.181921	−	0.0534169i
$265$	−3.20874	+	11.5817i	−0.197111	+	0.711460i
$266$	13.0804	+	28.6420i	0.802008	+	1.75615i
$267$	−21.8540	−	3.14213i	−1.33744	−	0.192295i
$268$	−2.52350	−	2.18663i	−0.154148	−	0.133570i
$269$	−2.16155	+	4.73314i	−0.131792	+	0.288585i	−0.964011	−	0.265863i	$-0.914343\pi$
$269$	−2.16155	+	4.73314i	−0.131792	+	0.288585i	0.832219	+	0.554448i	$0.187070\pi$
$270$	−2.00626	−	1.24632i	−0.122097	−	0.0758484i
$271$	0.765162	+	5.32182i	0.0464803	+	0.323277i	0.999775	+	0.0212343i	$0.00675960\pi$
$271$	0.765162	+	5.32182i	0.0464803	+	0.323277i	−0.953294	+	0.302043i	$0.902331\pi$
$272$	−2.01019	−	3.12792i	−0.121886	−	0.189658i
$273$	−27.8543	+	24.1359i	−1.68582	+	1.46077i
$274$	1.51251	−	0.444113i	0.0913740	−	0.0268298i
$275$	6.53426	−	0.200362i	0.394030	−	0.0120823i
$276$	−11.2650	+	0.888090i	−0.678075	+	0.0534567i
$277$		−	8.06429i		−	0.484536i	−0.970209	−	0.242268i	$-0.922109\pi$
$277$		−	8.06429i		−	0.484536i	0.970209	−	0.242268i	$-0.0778913\pi$
$278$	−2.20158	−	7.49789i	−0.132042	−	0.449694i
$279$	−7.89045	−	9.10606i	−0.472389	−	0.545166i
$280$	8.01772	−	5.32806i	0.479151	−	0.318413i
$281$	−0.847911	−	5.89735i	−0.0505822	−	0.351807i	−0.999357	−	0.0358538i	$-0.988585\pi$
$281$	−0.847911	−	5.89735i	−0.0505822	−	0.351807i	0.948775	−	0.315953i	$-0.102324\pi$
$282$	−6.91908	+	10.7663i	−0.412025	+	0.641124i
$283$	29.5406	+	13.4907i	1.75600	+	0.801941i	0.986596	+	0.163184i	$0.0521766\pi$
$283$	29.5406	+	13.4907i	1.75600	+	0.801941i	0.769409	+	0.638756i	$0.220551\pi$
$284$	−8.78891	+	10.1429i	−0.521526	+	0.601873i
$285$	38.2215	+	4.89877i	2.26405	+	0.290178i
$286$	−1.97344	−	4.32123i	−0.116692	−	0.255520i
$287$	−3.67277	+	12.5083i	−0.216797	+	0.738343i
$288$	−0.718901	+	2.44835i	−0.0423616	+	0.144270i
$289$	1.31905	+	2.88833i	0.0775915	+	0.169902i
$290$	5.14660	+	0.659628i	0.302219	+	0.0387347i
$291$	−7.51963	+	8.67811i	−0.440808	+	0.508720i
$292$	−12.3953	−	5.66074i	−0.725379	−	0.331269i
$293$	6.81660	−	10.6068i	0.398230	−	0.619658i	−0.583006	−	0.812468i	$-0.698124\pi$
$293$	6.81660	−	10.6068i	0.398230	−	0.619658i	0.981236	+	0.192810i	$0.0617601\pi$
$294$	−3.86776	−	26.9009i	−0.225572	−	1.56889i
$295$	12.8904	−	8.56616i	0.750511	−	0.498741i
$296$	3.80825	+	4.39496i	0.221350	+	0.255452i
$297$	−0.389078	−	1.32508i	−0.0225766	−	0.0768888i
$298$			14.1552i			0.819991i
$299$	−12.4107	−	12.2315i	−0.717729	−	0.707364i
$300$	−0.361076	−	11.7755i	−0.0208468	−	0.679859i
$301$	13.7496	−	4.03724i	0.792513	−	0.232703i
$302$	−6.54771	+	5.67362i	−0.376778	+	0.326480i
$303$	2.18971	+	3.40726i	0.125796	+	0.195742i
$304$	1.04087	+	7.23943i	0.0596982	+	0.415210i
$305$	17.9251	+	11.1353i	1.02639	+	0.637605i
$306$	−3.94133	+	8.63030i	−0.225311	+	0.493361i
$307$	9.29366	+	8.05300i	0.530417	+	0.459609i	0.878423	−	0.477883i	$-0.158596\pi$
$307$	9.29366	+	8.05300i	0.530417	+	0.459609i	−0.348006	+	0.937492i	$0.613141\pi$
$308$	5.57156	+	0.801069i	0.317469	+	0.0456451i
$309$	−10.7792	−	23.6032i	−0.613208	−	1.34274i
$310$	−2.81908	+	10.1753i	−0.160113	+	0.577918i
$311$	−31.7774	−	9.33069i	−1.80193	−	0.529095i	−0.804075	−	0.594528i	$-0.797339\pi$
$311$	−31.7774	−	9.33069i	−1.80193	−	0.529095i	−0.997857	+	0.0654336i	$0.979157\pi$
$312$	−7.78737	+	3.55637i	−0.440873	+	0.201340i
$313$	−7.05257	−	1.01401i	−0.398635	−	0.0573150i	−0.0599178	−	0.998203i	$-0.519084\pi$
$313$	−7.05257	−	1.01401i	−0.398635	−	0.0573150i	−0.338717	+	0.940888i	$0.609993\pi$
$314$	9.49979	−	10.9633i	0.536104	−	0.618697i
$315$	−22.4984	−	9.86077i	−1.26764	−	0.555591i
$316$	13.8646	+	8.91025i	0.779946	+	0.501241i
$317$	−7.02902	+	1.01062i	−0.394789	+	0.0567621i	−0.336851	−	0.941558i	$-0.609362\pi$
$317$	−7.02902	+	1.01062i	−0.394789	+	0.0567621i	−0.0579384	+	0.998320i	$0.518453\pi$
$318$	6.84652	+	10.6534i	0.383934	+	0.597412i
$319$	1.98679	+	2.29288i	0.111239	+	0.128377i
$320$	2.13558	−	0.662782i	0.119383	−	0.0370506i
$321$	−36.9133			−2.06030
$322$	20.1425	−	4.53543i	1.12250	−	0.252749i
$323$			27.1942i			1.51313i
$324$	−9.73300	+	2.85787i	−0.540722	+	0.158770i
$325$	13.3586	−	12.3120i	0.741000	−	0.682948i
$326$	−3.79073	+	2.43615i	−0.209949	+	0.134926i
$327$	−34.1204	+	4.90577i	−1.88686	+	0.271289i
$328$	−1.63710	+	2.54738i	−0.0903940	+	0.140656i
$329$	9.71399	−	21.2707i	0.535550	−	1.17269i
$330$	4.43073	−	5.27456i	0.243904	−	0.290355i
$331$	3.51924	−	24.4768i	0.193435	−	1.34537i	−0.629397	−	0.777084i	$-0.716698\pi$
$331$	3.51924	−	24.4768i	0.193435	−	1.34537i	0.822832	−	0.568285i	$-0.192393\pi$
$332$	9.10376	−	4.15755i	0.499634	−	0.228175i
$333$	4.18067	−	14.2380i	0.229099	−	0.780240i
$334$	0.878437	+	0.257932i	0.0480659	+	0.0141134i
$335$	6.74334	−	3.20538i	0.368428	−	0.175129i
$336$	1.44362	−	10.0406i	0.0787560	−	0.547760i
$337$	−8.97814	−	7.77960i	−0.489070	−	0.423782i	0.375098	−	0.926985i	$-0.377609\pi$
$337$	−8.97814	−	7.77960i	−0.489070	−	0.423782i	−0.864168	+	0.503203i	$0.832155\pi$
$338$	−0.183282	−	0.0837022i	−0.00996924	−	0.00455280i
$339$	17.0506	+	10.9577i	0.926060	+	0.595143i
$340$	8.21034	−	1.30920i	0.445268	−	0.0710015i
$341$	−5.19371	+	3.33780i	−0.281255	+	0.180752i
$342$	14.1045	−	12.2216i	0.762684	−	0.660869i
$343$	5.49983	+	18.7307i	0.296963	+	1.01136i
$344$	3.32858			0.179465
$345$	8.29283	−	23.8679i	0.446471	−	1.28500i
$346$	−13.1705			−0.708052
$347$	−2.29146	−	7.80401i	−0.123012	−	0.418941i	0.874843	−	0.484407i	$-0.160965\pi$
$347$	−2.29146	−	7.80401i	−0.123012	−	0.418941i	−0.997855	+	0.0654662i	$0.979147\pi$
$348$	4.13204	−	3.58044i	0.221501	−	0.191932i
$349$	−1.01930	+	0.655061i	−0.0545616	+	0.0350646i	−0.567637	−	0.823279i	$-0.692142\pi$
$349$	−1.01930	+	0.655061i	−0.0545616	+	0.0350646i	0.513076	+	0.858343i	$0.328506\pi$
$350$	3.71503	+	21.2028i	0.198577	+	1.13334i
$351$	−3.22855	−	2.07486i	−0.172327	−	0.110748i
$352$	1.18931	+	0.543141i	0.0633906	+	0.0289495i
$353$	3.14083	+	2.72154i	0.167169	+	0.144853i	0.734428	−	0.678687i	$-0.237451\pi$
$353$	3.14083	+	2.72154i	0.167169	+	0.144853i	−0.567259	+	0.823540i	$0.691996\pi$
$354$	2.32097	−	16.1427i	0.123358	−	0.857976i
$355$	−12.8837	−	27.1041i	−0.683794	−	1.43854i
$356$	8.99088	+	2.63996i	0.476516	+	0.139918i
$357$	10.6260	−	36.1887i	0.562386	−	1.91531i
$358$	−4.53023	+	2.06889i	−0.239430	+	0.109344i
$359$	−1.18262	+	8.22530i	−0.0624162	+	0.434114i	0.934521	+	0.355908i	$0.115828\pi$
$359$	−1.18262	+	8.22530i	−0.0624162	+	0.434114i	−0.996937	+	0.0782064i	$0.975081\pi$
$360$	−4.36892	−	3.66998i	−0.230262	−	0.193425i
$361$	14.3288	−	31.3758i	0.754150	−	1.65136i
$362$	3.98597	−	6.20229i	0.209498	−	0.325985i
$363$	−21.6676	+	3.11533i	−1.13725	+	0.163513i
$364$	13.1592	−	8.45687i	0.689727	−	0.443261i
$365$	22.7193	−	20.3043i	1.18918	−	1.06278i
$366$	21.3353	−	6.26460i	1.11521	−	0.327456i
$367$		−	15.5128i		−	0.809762i	−0.914369	−	0.404881i	$-0.867313\pi$
$367$		−	15.5128i		−	0.809762i	0.914369	−	0.404881i	$-0.132687\pi$
$368$	4.78597	+	0.307328i	0.249486	+	0.0160206i
$369$	7.72680			0.402241
$370$	−12.4192	+	3.85431i	−0.645643	+	0.200376i
$371$	−15.1526	−	17.4870i	−0.786682	−	0.907879i
$372$	6.01511	+	9.35969i	0.311869	+	0.485277i
$373$	20.7350	−	2.98124i	1.07362	−	0.154363i	0.417240	−	0.908797i	$-0.362998\pi$
$373$	20.7350	−	2.98124i	1.07362	−	0.154363i	0.656376	+	0.754434i	$0.272088\pi$
$374$	4.08964	+	2.62825i	0.211470	+	0.135904i
$375$	24.4403	+	9.83037i	1.26209	+	0.507638i
$376$	3.55693	−	4.10491i	0.183434	−	0.211695i
$377$	8.34530	+	1.19987i	0.429805	+	0.0617966i
$378$	4.13642	−	1.88904i	0.212755	−	0.0971618i
$379$	21.4824	+	6.30779i	1.10347	+	0.324009i	0.782232	−	0.622987i	$-0.214081\pi$
$379$	21.4824	+	6.30779i	1.10347	+	0.324009i	0.321243	+	0.946997i	$0.395899\pi$
$380$	−15.7606	−	4.36651i	−0.808504	−	0.223997i
$381$	6.16992	+	13.5102i	0.316094	+	0.692150i
$382$	−21.5161	−	3.09355i	−1.10086	−	0.158280i
$383$	−19.1353	−	16.5808i	−0.977767	−	0.847240i	0.0105049	−	0.999945i	$-0.496656\pi$
$383$	−19.1353	−	16.5808i	−0.977767	−	0.847240i	−0.988272	+	0.152705i	$0.951202\pi$
$384$	0.978804	−	2.14328i	0.0499494	−	0.109374i
$385$	−6.64169	+	10.6915i	−0.338492	+	0.544888i
$386$	0.635438	+	4.41957i	0.0323429	+	0.224950i
$387$	−4.59197	−	7.14525i	−0.233423	−	0.363213i
$388$	3.68309	−	3.19141i	0.186980	−	0.162019i
$389$	−21.7831	+	6.39609i	−1.10445	+	0.324295i	−0.782617	−	0.622503i	$-0.786116\pi$
$389$	−21.7831	+	6.39609i	−1.10445	+	0.324295i	−0.321829	+	0.946798i	$0.604298\pi$
$390$	−0.293391	−	19.1408i	−0.0148564	−	0.969230i
$391$	17.4513	+	3.66356i	0.882549	+	0.185274i
$392$			11.5344i			0.582577i
$393$	5.37943	+	18.3207i	0.271357	+	0.924156i
$394$	−5.93620	−	6.85075i	−0.299062	−	0.345136i
$395$	−30.6932	+	20.3967i	−1.54434	+	1.02627i
$396$	−0.474802	−	3.30232i	−0.0238597	−	0.165948i
$397$	−0.988968	+	1.53886i	−0.0496349	+	0.0772334i	−0.865184	−	0.501454i	$-0.832799\pi$
$397$	−0.988968	+	1.53886i	−0.0496349	+	0.0772334i	0.815549	+	0.578688i	$0.196435\pi$
$398$	6.61718	+	3.02197i	0.331689	+	0.151477i
$399$	−48.5847	+	56.0698i	−2.43228	+	2.80700i
$400$	−0.559555	+	4.96859i	−0.0279777	+	0.248430i
$401$	5.19147	+	11.3677i	0.259250	+	0.567678i	0.993839	−	0.110834i	$-0.0353523\pi$
$401$	5.19147	+	11.3677i	0.259250	+	0.567678i	−0.734589	+	0.678512i	$0.762625\pi$
$402$	2.21655	−	7.54886i	0.110551	−	0.376503i
$403$	−4.83359	+	16.4617i	−0.240778	+	0.820015i
$404$	−0.714080	−	1.56362i	−0.0355268	−	0.0777928i
$405$	2.88357	−	22.4984i	0.143286	−	1.11796i
$406$	−6.54202	+	7.54990i	−0.324675	+	0.374695i
$407$	−6.91628	−	3.15856i	−0.342827	−	0.156564i
$408$	4.73643	−	7.37002i	0.234488	−	0.364870i
$409$	4.19584	+	29.1827i	0.207471	+	1.44299i	0.781371	+	0.624067i	$0.214521\pi$
$409$	4.19584	+	29.1827i	0.207471	+	1.44299i	−0.573900	+	0.818925i	$0.694570\pi$
$410$	−3.74755	−	5.63935i	−0.185078	−	0.278508i
$411$	2.43231	+	2.80703i	0.119977	+	0.138461i
$412$	3.10262	+	10.5665i	0.152855	+	0.520576i
$413$			29.7986i			1.46629i
$414$	−5.94282	−	10.6977i	−0.292074	−	0.525765i
$415$	0.342986	+	22.3763i	0.0168365	+	1.09841i
$416$	3.48621	−	1.02364i	0.170925	−	0.0501882i
$417$	13.9152	−	12.0576i	0.681429	−	0.590462i
$418$	−5.16996	−	8.04461i	−0.252871	−	0.393475i
$419$	−2.35238	−	16.3612i	−0.114921	−	0.799295i	−0.963015	−	0.269448i	$-0.913159\pi$
$419$	−2.35238	−	16.3612i	−0.114921	−	0.799295i	0.848094	−	0.529846i	$-0.177750\pi$
$420$	19.2673	+	11.9691i	0.940149	+	0.584033i
$421$	9.69548	−	21.2301i	0.472529	−	1.03469i	−0.511922	−	0.859032i	$-0.671066\pi$
$421$	9.69548	−	21.2301i	0.472529	−	1.03469i	0.984451	−	0.175662i	$-0.0562065\pi$
$422$	18.3638	+	15.9123i	0.893934	+	0.774599i
$423$	−13.7188	−	1.97246i	−0.667028	−	0.0959042i
$424$	−2.23270	−	4.88892i	−0.108429	−	0.237427i
$425$	−4.68847	+	17.9899i	−0.227424	+	0.872638i
$426$	−30.3418	−	8.90916i	−1.47006	−	0.431650i
$427$	−36.9571	+	16.8778i	−1.78848	+	0.816772i
$428$	15.5070	+	2.22956i	0.749557	+	0.107770i
$429$	7.33000	−	8.45927i	0.353896	−	0.408418i
$430$	−2.98777	+	6.81691i	−0.144083	+	0.328741i
$431$	27.0328	+	17.3729i	1.30212	+	0.836824i	0.993441	−	0.114342i	$-0.0364759\pi$
$431$	27.0328	+	17.3729i	1.30212	+	0.836824i	0.308681	+	0.951165i	$0.400112\pi$
$432$	1.04551	−	0.150321i	0.0503019	−	0.00723232i
$433$	−13.5295	−	21.0523i	−0.650186	−	1.01171i	−0.997268	−	0.0738744i	$-0.976464\pi$
$433$	−13.5295	−	21.0523i	−0.650186	−	1.01171i	0.347081	−	0.937835i	$-0.387173\pi$
$434$	−13.3125	−	15.3634i	−0.639020	−	0.737469i
$435$	3.62374	+	11.6763i	0.173745	+	0.559834i
$436$	14.6300			0.700648
$437$	−28.2320	−	20.8156i	−1.35052	−	0.995743i
$438$		−	32.1073i		−	1.53415i
$439$	−7.91152	+	2.32303i	−0.377596	+	0.110872i	−0.465023	−	0.885299i	$-0.653954\pi$
$439$	−7.91152	+	2.32303i	−0.377596	+	0.110872i	0.0874266	+	0.996171i	$0.472136\pi$
$440$	−2.17989	+	1.94818i	−0.103922	+	0.0928757i
$441$	24.7602	−	15.9124i	1.17906	−	0.757735i
$442$	13.3720	−	1.92260i	0.636042	−	0.0914490i
$443$	17.1216	−	26.6417i	0.813471	−	1.26579i	−0.147480	−	0.989065i	$-0.547116\pi$
$443$	17.1216	−	26.6417i	0.813471	−	1.26579i	0.960950	−	0.276720i	$-0.0892476\pi$
$444$	−5.69210	+	12.4640i	−0.270135	+	0.591513i
$445$	−13.4770	+	16.0436i	−0.638870	+	0.760541i
$446$	2.77738	−	19.3171i	0.131513	−	0.914691i
$447$	−30.3386	+	13.8552i	−1.43497	+	0.655328i
$448$	−1.21290	+	4.13077i	−0.0573044	+	0.195161i
$449$	−3.89560	−	1.14385i	−0.183845	−	0.0539817i	0.188514	−	0.982070i	$-0.439633\pi$
$449$	−3.89560	−	1.14385i	−0.183845	−	0.0539817i	−0.372359	+	0.928089i	$0.621451\pi$
$450$	11.4377	−	5.65331i	0.539179	−	0.266500i
$451$	0.563440	−	3.91881i	0.0265314	−	0.184530i
$452$	−6.50094	−	5.63310i	−0.305779	−	0.264959i
$453$	−18.5691	−	8.48022i	−0.872452	−	0.398436i
$454$	5.66223	+	3.63889i	0.265741	+	0.170782i
$455$	5.50782	+	34.5409i	0.258210	+	1.61930i
$456$	−14.4973	+	9.31687i	−0.678900	+	0.436303i
$457$	−15.0947	+	13.0796i	−0.706098	+	0.611837i	−0.932062	−	0.362298i	$-0.881992\pi$
$457$	−15.0947	+	13.0796i	−0.706098	+	0.611837i	0.225964	+	0.974136i	$0.427447\pi$
$458$	−5.44750	−	18.5525i	−0.254545	−	0.866900i
$459$	3.92733			0.183312
$460$	−4.92536	+	9.52580i	−0.229646	+	0.444143i
$461$	15.9547			0.743085			0.371543	−	0.928416i	$-0.378829\pi$
$461$	15.9547			0.743085			0.371543	+	0.928416i	$0.378829\pi$
$462$	3.73655	+	12.7255i	0.173840	+	0.592044i
$463$	12.2000	−	10.5713i	0.566981	−	0.491292i	−0.323552	−	0.946210i	$-0.604877\pi$
$463$	12.2000	−	10.5713i	0.566981	−	0.491292i	0.890533	+	0.454918i	$0.150332\pi$
$464$	−1.95209	+	1.25453i	−0.0906236	+	0.0582403i
$465$	−24.5678	+	3.91754i	−1.13931	+	0.181671i
$466$	7.09317	+	4.55850i	0.328585	+	0.211169i
$467$	−8.33114	−	3.80470i	−0.385519	−	0.176061i	0.213221	−	0.977004i	$-0.431605\pi$
$467$	−8.33114	−	3.80470i	−0.385519	−	0.176061i	−0.598740	+	0.800943i	$0.704332\pi$
$468$	−7.00682	−	6.07145i	−0.323891	−	0.280653i
$469$	−2.04581	+	14.2289i	−0.0944669	+	0.657031i
$470$	5.21410	+	10.9692i	0.240508	+	0.505971i
$471$	32.7960	+	9.62976i	1.51116	+	0.443716i
$472$	−1.95004	+	6.64123i	−0.0897579	+	0.305687i
$473$	−3.95872	+	1.80788i	−0.182022	+	0.0831266i
$474$	−5.52643	+	38.4372i	−0.253838	+	1.76548i
$475$	23.0896	−	28.3583i	1.05942	−	1.30117i
$476$	−6.64967	+	14.5607i	−0.304787	+	0.667391i
$477$	−7.41461	+	11.5374i	−0.339491	+	0.528259i
$478$	−18.7931	+	2.70204i	−0.859575	+	0.123588i
$479$	4.67957	−	3.00738i	0.213815	−	0.137411i	−0.429350	−	0.903138i	$-0.641257\pi$
$479$	4.67957	−	3.00738i	0.213815	−	0.137411i	0.643165	+	0.765728i	$0.277621\pi$
$480$	3.51085	+	3.92843i	0.160247	+	0.179307i
$481$	−20.2736	+	5.95285i	−0.924395	+	0.271427i
$482$		−	3.80651i		−	0.173382i
$483$	29.4363	+	38.7318i	1.33940	+	1.76236i
$484$	9.29053			0.422297
$485$	3.23001	+	10.4076i	0.146667	+	0.472585i
$486$	−13.5768	−	15.6685i	−0.615857	−	0.710736i
$487$	11.0677	+	17.2216i	0.501524	+	0.780387i	0.996052	−	0.0887749i	$-0.0282952\pi$
$487$	11.0677	+	17.2216i	0.501524	+	0.780387i	−0.494527	+	0.869162i	$0.664659\pi$
$488$	−9.34114	+	1.34305i	−0.422854	+	0.0607972i
$489$	−8.93174	−	5.74008i	−0.403907	−	0.259575i
$490$	−23.6225	−	10.3535i	−1.06715	−	0.467722i
$491$	0.351783	−	0.405979i	0.0158757	−	0.0183216i	−0.747756	−	0.663973i	$-0.768869\pi$
$491$	0.351783	−	0.405979i	0.0158757	−	0.0183216i	0.763632	+	0.645652i	$0.223414\pi$
$492$	−7.06217	−	1.01539i	−0.318387	−	0.0457772i
$493$	−7.84815	+	3.58413i	−0.353463	+	0.161421i
$494$	−25.4977	−	7.48680i	−1.14720	−	0.336847i
$495$	7.18932	+	1.99181i	0.323136	+	0.0895253i
$496$	−1.96157	−	4.29523i	−0.0880770	−	0.192862i
$497$	57.1916	+	8.22291i	2.56539	+	0.368848i
$498$	17.8216	+	15.4425i	0.798605	+	0.691995i
$499$	17.2264	−	37.7205i	0.771159	−	1.68860i	0.0470757	−	0.998891i	$-0.485010\pi$
$499$	17.2264	−	37.7205i	0.771159	−	1.68860i	0.724084	−	0.689712i	$-0.242263\pi$
$500$	−9.67339	−	5.60584i	−0.432607	−	0.250701i
$501$	0.306996	+	2.13520i	0.0137156	+	0.0953938i
$502$	13.2155	+	20.5638i	0.589838	+	0.917806i
$503$	0.480592	−	0.416436i	0.0214286	−	0.0185680i	−0.644081	−	0.764958i	$-0.722760\pi$
$503$	0.480592	−	0.416436i	0.0214286	−	0.0185680i	0.665509	+	0.746390i	$0.268214\pi$
$504$	10.5405	−	3.09498i	0.469513	−	0.137862i
$505$	3.84325	−	0.0589096i	0.171022	−	0.00262144i
$506$	−5.85894	+	2.23395i	−0.260462	+	0.0993111i
$507$		−	0.474753i		−	0.0210845i
$508$	−1.77591	−	6.04819i	−0.0787932	−	0.268345i
$509$	16.2298	+	18.7302i	0.719374	+	0.830202i	0.991232	−	0.132135i	$-0.0421833\pi$
$509$	16.2298	+	18.7302i	0.719374	+	0.830202i	−0.271857	+	0.962338i	$0.587638\pi$
$510$	10.8423	+	16.3156i	0.480105	+	0.722467i
$511$	8.34892	+	58.0680i	0.369335	+	2.56878i
$512$	−0.540641	+	0.841254i	−0.0238932	+	0.0371785i
$513$	−7.02721	−	3.20922i	−0.310259	−	0.141691i
$514$	15.7401	−	18.1651i	0.694266	−	0.801226i
$515$	−24.4252	−	3.13052i	−1.07630	−	0.137947i
$516$	3.25802	+	7.13408i	0.143426	+	0.314060i
$517$	−2.00075	+	6.81393i	−0.0879929	+	0.299676i
$518$	7.05348	−	24.0219i	0.309912	−	1.05546i
$519$	−12.8914	−	28.2282i	−0.565868	−	1.23908i
$520$	−1.03285	+	8.05858i	−0.0452935	+	0.353392i
$521$	1.29908	−	1.49922i	0.0569139	−	0.0656822i	−0.726579	−	0.687083i	$-0.758891\pi$
$521$	1.29908	−	1.49922i	0.0569139	−	0.0656822i	0.783493	+	0.621401i	$0.213436\pi$
$522$	5.38606	+	2.45973i	0.235741	+	0.107659i
$523$	9.00256	−	14.0083i	0.393655	−	0.612539i	−0.586695	−	0.809808i	$-0.699571\pi$
$523$	9.00256	−	14.0083i	0.393655	−	0.612539i	0.980349	+	0.197270i	$0.0632075\pi$
$524$	−1.15328	−	8.02127i	−0.0503814	−	0.350411i
$525$	−41.8073	+	28.7158i	−1.82462	+	1.25326i
$526$	6.29994	+	7.27052i	0.274691	+	0.317010i
$527$	−4.94637	−	16.8458i	−0.215467	−	0.733814i
$528$			3.08066i			0.134068i
$529$	−17.1613	+	15.3131i	−0.746144	+	0.665785i
$530$	12.0166	−	0.184191i	0.521967	−	0.00800076i
$531$	16.9465	−	4.97594i	0.735416	−	0.215938i
$532$	23.7966	−	20.6199i	1.03171	−	0.893986i
$533$	−5.94823	−	9.25563i	−0.257647	−	0.400906i
$534$	3.14213	+	21.8540i	0.135973	+	0.945715i
$535$	−18.4854	+	29.7569i	−0.799193	+	1.28650i
$536$	−1.38710	+	3.03733i	−0.0599137	+	0.131193i
$537$	−8.86841	−	7.68452i	−0.382700	−	0.331612i
$538$	5.15039	+	0.740515i	0.222049	+	0.0319259i
$539$	−6.26482	−	13.7180i	−0.269845	−	0.590878i
$540$	−0.630603	+	2.27612i	−0.0271368	+	0.0979487i
$541$	−2.00667	−	0.589211i	−0.0862734	−	0.0253322i	0.238311	−	0.971189i	$-0.423406\pi$
$541$	−2.00667	−	0.589211i	−0.0862734	−	0.0253322i	−0.324584	+	0.945857i	$0.605224\pi$
$542$	4.89068	−	2.23350i	0.210073	−	0.0959369i
$543$	17.1948	+	2.47223i	0.737897	+	0.106094i
$544$	−2.43488	+	2.81000i	−0.104395	+	0.120478i
$545$	−13.1320	+	29.9621i	−0.562515	+	1.28344i
$546$	31.0057	+	19.9262i	1.32692	+	0.852761i
$547$	14.2854	−	2.05393i	0.610800	−	0.0878198i	0.170029	−	0.985439i	$-0.445614\pi$
$547$	14.2854	−	2.05393i	0.610800	−	0.0878198i	0.440772	+	0.897619i	$0.354705\pi$
$548$	−0.852246	−	1.32612i	−0.0364062	−	0.0566491i
$549$	15.7697	+	18.1992i	0.673035	+	0.776724i
$550$	−2.03316	−	6.21312i	−0.0866942	−	0.264928i
$551$	16.9715			0.723012
$552$	4.02584	+	10.5585i	0.171351	+	0.449400i
$553$		−	70.9530i		−	3.01723i
$554$	−7.73763	+	2.27197i	−0.328740	+	0.0965269i
$555$	−20.4168	−	22.8452i	−0.866646	−	0.969725i
$556$	−6.57392	+	4.22480i	−0.278796	+	0.179171i
$557$	37.5963	−	5.40552i	1.59300	−	0.229039i	0.712011	−	0.702168i	$-0.247785\pi$
$557$	37.5963	−	5.40552i	1.59300	−	0.229039i	0.880993	+	0.473129i	$0.156875\pi$
$558$	−6.51421	+	10.1363i	−0.275768	+	0.429104i
$559$	−5.02403	+	11.0011i	−0.212494	+	0.465296i
$560$	−7.37109	−	6.19186i	−0.311485	−	0.261654i
$561$	−1.63013	+	11.3378i	−0.0688241	+	0.478682i
$562$	−5.41959	+	2.47504i	−0.228611	+	0.104403i
$563$	−4.20900	+	14.3345i	−0.177388	+	0.604129i	0.822011	+	0.569472i	$0.192852\pi$
$563$	−4.20900	+	14.3345i	−0.177388	+	0.604129i	−0.999399	+	0.0346574i	$0.988966\pi$
$564$	12.2795	+	3.60559i	0.517061	+	0.151823i
$565$	17.3719	−	8.25756i	0.730841	−	0.347398i
$566$	4.62172	−	32.1448i	0.194265	−	1.35114i
$567$	33.0044	+	28.5985i	1.38606	+	1.20102i
$568$	12.2082	+	5.57530i	0.512245	+	0.233934i
$569$	0.151187	+	0.0971618i	0.00633808	+	0.00407324i	0.543806	−	0.839211i	$-0.316983\pi$
$569$	0.151187	+	0.0971618i	0.00633808	+	0.00407324i	−0.537468	+	0.843284i	$0.680619\pi$
$570$	−6.06792	−	38.0534i	−0.254157	−	1.59388i
$571$	20.3199	−	13.0588i	0.850360	−	0.546493i	−0.0413268	−	0.999146i	$-0.513158\pi$
$571$	20.3199	−	13.0588i	0.850360	−	0.546493i	0.891687	+	0.452652i	$0.149522\pi$
$572$	−3.59021	+	3.11093i	−0.150114	+	0.130075i
$573$	−14.4297	−	49.1431i	−0.602810	−	2.05298i
$574$	13.0364			0.544128
$575$	−15.0877	−	18.6376i	−0.629202	−	0.777242i
$576$	2.55171			0.106321
$577$	−1.77803	−	6.05543i	−0.0740205	−	0.252091i	0.914168	−	0.405336i	$-0.132846\pi$
$577$	−1.77803	−	6.05543i	−0.0740205	−	0.252091i	−0.988188	+	0.153246i	$0.951027\pi$
$578$	2.39971	−	2.07936i	0.0998147	−	0.0864900i
$579$	−8.85041	+	5.68781i	−0.367810	+	0.236377i
$580$	−0.817056	−	5.12397i	−0.0339264	−	0.212761i
$581$	−36.2470	−	23.2945i	−1.50378	−	0.966419i
$582$	10.4451	+	4.77012i	0.432964	+	0.197728i
$583$	5.31074	+	4.60179i	0.219949	+	0.190587i
$584$	−1.93928	+	13.4880i	−0.0802480	+	0.558137i
$585$	18.7237	−	8.90014i	0.774131	−	0.367975i
$586$	−12.0976	−	3.55219i	−0.499749	−	0.146740i
$587$	4.05904	−	13.8238i	0.167534	−	0.570570i	−0.832333	−	0.554276i	$-0.812995\pi$
$587$	4.05904	−	13.8238i	0.167534	−	0.570570i	0.999867	−	0.0162937i	$-0.00518666\pi$
$588$	−24.7215	+	11.2899i	−1.01950	+	0.465589i
$589$	−4.91495	+	34.1842i	−0.202517	+	1.40854i
$590$	−11.8508	−	9.95493i	−0.487891	−	0.409838i
$591$	8.87270	−	19.4285i	0.364974	−	0.799181i
$592$	3.14402	−	4.89219i	0.129218	−	0.201068i
$593$	−7.88791	+	1.13411i	−0.323918	+	0.0465723i	−0.302356	−	0.953195i	$-0.597773\pi$
$593$	−7.88791	+	1.13411i	−0.323918	+	0.0465723i	−0.0215620	+	0.999768i	$0.506864\pi$
$594$	−1.16179	+	0.746635i	−0.0476687	+	0.0306348i
$595$	−23.8515	−	26.6884i	−0.977817	−	1.09412i
$596$	13.5818	−	3.98799i	0.556334	−	0.163354i
$597$			17.1404i			0.701510i
$598$	−8.23951	+	15.3540i	−0.336938	+	0.627871i
$599$	−15.3525			−0.627284			−0.313642	−	0.949541i	$-0.601549\pi$
$599$	−15.3525			−0.627284			−0.313642	+	0.949541i	$0.601549\pi$
$600$	−11.1968	+	3.66399i	−0.457107	+	0.149582i
$601$	−5.83980	−	6.73949i	−0.238210	−	0.274909i	0.624039	−	0.781393i	$-0.285491\pi$
$601$	−5.83980	−	6.73949i	−0.238210	−	0.274909i	−0.862250	+	0.506484i	$0.830945\pi$
$602$	−7.74742	−	12.0552i	−0.315761	−	0.491334i
$603$	8.43364	−	1.21257i	0.343444	−	0.0493798i
$604$	7.28851	+	4.68404i	0.296565	+	0.190591i
$605$	−8.33931	+	19.0270i	−0.339041	+	0.773557i
$606$	2.65233	−	3.06095i	0.107743	−	0.124342i
$607$	14.0371	+	2.01823i	0.569747	+	0.0819173i	0.421167	−	0.906983i	$-0.361621\pi$
$607$	14.0371	+	2.01823i	0.569747	+	0.0819173i	0.148580	+	0.988900i	$0.452530\pi$
$608$	6.65294	−	3.03830i	0.269812	−	0.123219i
$609$	−22.5849	−	6.63153i	−0.915187	−	0.268723i
$610$	5.63416	−	20.3362i	0.228121	−	0.823387i
$611$	8.19822	+	17.9516i	0.331664	+	0.726244i
$612$	9.39111	+	1.35024i	0.379613	+	0.0545801i
$613$	26.0901	+	22.6072i	1.05377	+	0.913097i	0.996359	−	0.0852535i	$-0.0271700\pi$
$613$	26.0901	+	22.6072i	1.05377	+	0.913097i	0.0574110	+	0.998351i	$0.481715\pi$
$614$	5.10847	−	11.1860i	0.206161	−	0.451430i
$615$	8.41860	−	13.5519i	0.339471	−	0.546464i
$616$	−0.801069	−	5.57156i	−0.0322760	−	0.224484i
$617$	−6.79302	−	10.5702i	−0.273477	−	0.425538i	0.677164	−	0.735832i	$-0.263209\pi$
$617$	−6.79302	−	10.5702i	−0.273477	−	0.425538i	−0.950641	+	0.310294i	$0.899572\pi$
$618$	−19.6102	+	16.9924i	−0.788839	+	0.683533i
$619$	−3.16054	+	0.928018i	−0.127033	+	0.0373002i	−0.344631	−	0.938738i	$-0.611996\pi$
$619$	−3.16054	+	0.928018i	−0.127033	+	0.0373002i	0.217598	+	0.976038i	$0.430178\pi$
$620$	10.5574	−	0.161824i	0.423993	−	0.00649900i
$621$	−3.00614	+	4.07722i	−0.120632	+	0.163613i
$622$			33.1190i			1.32795i
$623$	−11.3655	−	38.7072i	−0.455348	−	1.55077i
$624$	5.60627	+	6.46998i	0.224430	+	0.259006i
$625$	20.1637	−	14.7792i	0.806548	−	0.591168i
$626$	1.01401	+	7.05257i	0.0405279	+	0.281877i
$627$	12.1815	−	18.9548i	0.486482	−	0.756980i
$628$	−13.1956	−	6.02625i	−0.526564	−	0.240474i
$629$	14.1597	−	16.3412i	0.564584	−	0.651565i
$630$	−3.12282	+	24.3651i	−0.124416	+	0.970729i
$631$	9.64305	+	21.1153i	0.383884	+	0.840588i	0.998653	+	0.0518813i	$0.0165218\pi$
$631$	9.64305	+	21.1153i	0.383884	+	0.840588i	−0.614770	+	0.788707i	$0.710751\pi$
$632$	4.64321	−	15.8133i	0.184697	−	0.629020i
$633$	−16.1300	+	54.9338i	−0.641110	+	2.18342i
$634$	2.94999	+	6.45957i	0.117159	+	0.256542i
$635$	13.9807	+	1.79188i	0.554809	+	0.0711086i
$636$	8.29296	−	9.57059i	0.328837	−	0.379499i
$637$	−38.1218	−	17.4096i	−1.51044	−	0.689795i
$638$	1.64026	−	2.55229i	0.0649385	−	0.101046i
$639$	−4.87380	−	33.8980i	−0.192805	−	1.34099i
$640$	−1.23760	−	1.86235i	−0.0489204	−	0.0736159i
$641$	−22.3432	−	25.7854i	−0.882502	−	1.01846i	−0.999679	−	0.0253502i	$-0.991930\pi$
$641$	−22.3432	−	25.7854i	−0.882502	−	1.01846i	0.117177	−	0.993111i	$-0.462616\pi$
$642$	10.3997	+	35.4181i	0.410443	+	1.39784i
$643$			7.69594i			0.303498i	0.988419	+	0.151749i	$0.0484906\pi$
$643$			7.69594i			0.303498i	−0.988419	+	0.151749i	$0.951509\pi$
$644$	−10.0265	−	18.0488i	−0.395100	−	0.711224i
$645$	−17.5350	+	0.268778i	−0.690440	+	0.0105831i
$646$	26.0926	−	7.66149i	1.02660	−	0.301437i
$647$	−30.0732	+	26.0586i	−1.18230	+	1.02447i	−0.183158	+	0.983083i	$0.558632\pi$
$647$	−30.0732	+	26.0586i	−1.18230	+	1.02447i	−0.999143	+	0.0413863i	$0.986823\pi$
$648$	5.48421	+	8.53359i	0.215440	+	0.335231i
$649$	−1.28791	−	8.95764i	−0.0505550	−	0.351618i
$650$	−15.5768	−	9.34876i	−0.610974	−	0.366689i
$651$	19.8979	−	43.5702i	0.779858	−	1.70765i
$652$	3.40544	+	2.95083i	0.133367	+	0.115564i
$653$	−36.5403	−	5.25370i	−1.42993	−	0.205593i	−0.616546	−	0.787319i	$-0.711469\pi$
$653$	−36.5403	−	5.25370i	−1.42993	−	0.205593i	−0.813385	+	0.581726i	$0.802378\pi$
$654$	14.3199	+	31.3561i	0.559951	+	1.22612i
$655$	17.4627	+	4.83808i	0.682325	+	0.189039i
$656$	2.90542	+	0.853109i	0.113438	+	0.0333083i
$657$	31.6292	−	14.4446i	1.23397	−	0.563536i
$658$	−23.1458	−	3.32786i	−0.902317	−	0.129734i
$659$	6.85473	−	7.91078i	0.267022	−	0.308160i	−0.606365	−	0.795186i	$-0.707373\pi$
$659$	6.85473	−	7.91078i	0.267022	−	0.308160i	0.873387	+	0.487026i	$0.161918\pi$
$660$	−6.30918	−	2.76524i	−0.245584	−	0.107637i
$661$	−28.4342	−	18.2736i	−1.10596	−	0.710759i	−0.145553	−	0.989350i	$-0.546496\pi$
$661$	−28.4342	−	18.2736i	−1.10596	−	0.710759i	−0.960410	+	0.278591i	$0.910133\pi$
$662$	−24.4768	+	3.51924i	−0.951320	+	0.136779i
$663$	17.2093	+	26.7781i	0.668352	+	1.03998i
$664$	−6.55397	−	7.56368i	−0.254343	−	0.293528i
$665$	20.8693	+	67.2441i	0.809277	+	2.60761i
$666$	−14.8391			−0.575005
$667$	2.28638	−	10.8911i	0.0885290	−	0.421706i
$668$		−	0.915522i		−	0.0354226i
$669$	44.1205	−	12.9549i	1.70580	−	0.500867i
$670$	−4.97536	−	5.56713i	−0.192215	−	0.215077i
$671$	10.3801	−	6.67086i	0.400718	−	0.257526i
$672$	−10.0406	+	1.44362i	−0.387325	+	0.0556889i
$673$	−4.46751	+	6.95158i	−0.172210	+	0.267964i	−0.916621	−	0.399758i	$-0.869094\pi$
$673$	−4.46751	+	6.95158i	−0.172210	+	0.267964i	0.744411	+	0.667722i	$0.232730\pi$
$674$	−4.93504	+	10.8062i	−0.190091	+	0.416240i
$675$	−4.09545	−	3.33455i	−0.157634	−	0.128347i
$676$	−0.0286751	+	0.199440i	−0.00110289	+	0.00767075i
$677$	−31.2828	+	14.2864i	−1.20229	+	0.549069i	−0.912917	−	0.408146i	$-0.866175\pi$
$677$	−31.2828	+	14.2864i	−1.20229	+	0.549069i	−0.289377	+	0.957215i	$0.593448\pi$
$678$	5.71017	−	19.4471i	0.219298	−	0.746860i
$679$	−20.1310	−	5.91099i	−0.772557	−	0.226843i
$680$	−3.56929	−	7.50892i	−0.136876	−	0.287954i
$681$	−2.25696	+	15.6975i	−0.0864869	+	0.601530i
$682$	4.66583	+	4.04297i	0.178664	+	0.154813i
$683$	39.6005	+	18.0849i	1.51527	+	0.692001i	0.987534	−	0.157407i	$-0.0503134\pi$
$683$	39.6005	+	18.0849i	1.51527	+	0.692001i	0.527737	+	0.849408i	$0.323041\pi$
$684$	−15.7002	−	10.0899i	−0.600314	−	0.385798i
$685$	3.48088	−	0.555053i	0.132998	−	0.0212075i
$686$	16.4225	−	10.5541i	0.627013	−	0.402957i
$687$	34.4311	−	29.8348i	1.31363	−	1.13827i
$688$	−0.937768	−	3.19374i	−0.0357521	−	0.121760i
$689$	19.5280			0.743959
$690$	−25.2374	−	1.23255i	−0.960773	−	0.0469224i
$691$	1.04412			0.0397203			0.0198602	−	0.999803i	$-0.493678\pi$
$691$	1.04412			0.0397203			0.0198602	+	0.999803i	$0.493678\pi$
$692$	3.71057	+	12.6370i	0.141055	+	0.480388i
$693$	−10.8550	+	9.40590i	−0.412347	+	0.357301i
$694$	−6.84231	+	4.39729i	−0.259731	+	0.166919i
$695$	−2.75154	−	17.2556i	−0.104372	−	0.654542i
$696$	−4.59953	−	2.95594i	−0.174345	−	0.112045i
$697$	10.2415	+	4.67712i	0.387923	+	0.177158i
$698$	0.915696	+	0.793455i	0.0346596	+	0.0300327i
$699$	−2.82734	+	19.6645i	−0.106940	+	0.743781i
$700$	19.2973	−	9.53807i	0.729370	−	0.360505i
$701$	37.4233	+	10.9885i	1.41346	+	0.415029i	0.897284	−	0.441454i	$-0.145537\pi$
$701$	37.4233	+	10.9885i	1.41346	+	0.415029i	0.516175	+	0.856483i	$0.327355\pi$
$702$	−1.08123	+	3.68233i	−0.0408084	+	0.138981i
$703$	−38.6892	+	17.6688i	−1.45919	+	0.666391i
$704$	0.186072	−	1.29416i	0.00701284	−	0.0487754i
$705$	−18.4065	+	21.9120i	−0.693229	+	0.825253i
$706$	1.72643	−	3.78035i	0.0649749	−	0.142275i
$707$	−4.00095	+	6.22560i	−0.150471	+	0.234138i
$708$	−16.1427	+	2.32097i	−0.606681	+	0.0872275i
$709$	11.9207	−	7.66098i	0.447692	−	0.287714i	−0.297304	−	0.954783i	$-0.596088\pi$
$709$	11.9207	−	7.66098i	0.447692	−	0.287714i	0.744996	+	0.667069i	$0.232451\pi$
$710$	−22.3764	+	19.9979i	−0.839773	+	0.750508i
$711$	−40.3511	+	11.8481i	−1.51328	+	0.444340i
$712$		−	9.37045i		−	0.351173i
$713$	21.2748	+	7.75931i	0.796749	+	0.290588i
$714$	−37.7165			−1.41150
$715$	−3.14856	−	10.1451i	−0.117749	−	0.379407i
$716$	3.26140	+	3.76385i	0.121884	+	0.140662i
$717$	−24.1859	−	37.6341i	−0.903241	−	1.40547i
$718$	8.22530	−	1.18262i	0.306965	−	0.0441349i
$719$	−2.77391	−	1.78269i	−0.103449	−	0.0664829i	0.487893	−	0.872903i	$-0.337766\pi$
$719$	−2.77391	−	1.78269i	−0.103449	−	0.0664829i	−0.591343	+	0.806420i	$0.701402\pi$
$720$	−2.29045	+	5.22590i	−0.0853601	+	0.194758i
$721$	31.0477	−	35.8310i	1.15628	−	1.33442i
$722$	−34.1417	−	4.90884i	−1.27062	−	0.182688i
$723$	8.15843	−	3.72583i	0.303415	−	0.138565i
$724$	−7.07404	−	2.07712i	−0.262905	−	0.0771957i
$725$	11.2273	+	2.92601i	0.416970	+	0.108669i
$726$	9.09361	+	19.9122i	0.337496	+	0.739012i
$727$	−18.0406	−	2.59385i	−0.669090	−	0.0962007i	−0.200605	−	0.979672i	$-0.564291\pi$
$727$	−18.0406	−	2.59385i	−0.669090	−	0.0962007i	−0.468485	+	0.883471i	$0.655200\pi$
$728$	−11.8217	−	10.2435i	−0.438140	−	0.379651i
$729$	7.65113	−	16.7536i	0.283375	−	0.620505i
$730$	−25.8827	−	16.0787i	−0.957960	−	0.595098i
$731$	−1.76131	−	12.2502i	−0.0651446	−	0.453090i
$732$	−12.0217	−	18.7061i	−0.444334	−	0.691398i
$733$	31.1915	−	27.0276i	1.15209	−	0.998288i	0.152135	−	0.988360i	$-0.451385\pi$
$733$	31.1915	−	27.0276i	1.15209	−	0.998288i	0.999951	−	0.00992778i	$-0.00316016\pi$
$734$	−14.8844	+	4.37046i	−0.549394	+	0.161317i
$735$	−0.931389	−	60.7636i	−0.0343548	−	2.24130i
$736$	−1.05349	−	4.67869i	−0.0388320	−	0.172459i
$737$		−	4.36572i		−	0.160814i
$738$	−2.17689	−	7.41381i	−0.0801324	−	0.272906i
$739$	23.0074	+	26.5519i	0.846340	+	0.976729i	0.999935	−	0.0114050i	$-0.00363042\pi$
$739$	23.0074	+	26.5519i	0.846340	+	0.976729i	−0.153595	+	0.988134i	$0.549085\pi$
$740$	7.19708	+	10.8302i	0.264570	+	0.398128i
$741$	−8.91093	−	61.9769i	−0.327351	−	2.27678i
$742$	−12.5097	+	19.4654i	−0.459244	+	0.714598i
$743$	25.3254	+	11.5657i	0.929099	+	0.424305i	0.821706	−	0.569911i	$-0.193022\pi$
$743$	25.3254	+	11.5657i	0.929099	+	0.424305i	0.107393	+	0.994217i	$0.465750\pi$
$744$	7.28590	−	8.40838i	0.267114	−	0.308266i
$745$	−4.02386	+	31.3952i	−0.147423	+	1.15023i
$746$	−8.70219	−	19.0551i	−0.318610	−	0.697658i
$747$	−7.19489	+	24.5035i	−0.263247	+	0.896538i
$748$	1.36961	−	4.66445i	0.0500777	−	0.170549i
$749$	−28.0183	−	61.3515i	−1.02377	−	2.24173i
$750$	2.54654	−	26.2198i	0.0929865	−	0.957413i
$751$	−21.3265	+	24.6121i	−0.778217	+	0.898110i	−0.996979	−	0.0776683i	$-0.975252\pi$
$751$	−21.3265	+	24.6121i	−0.778217	+	0.898110i	0.218763	+	0.975778i	$0.429798\pi$
$752$	−4.94074	−	2.25636i	−0.180170	−	0.0822809i
$753$	−31.1385	+	48.4525i	−1.13475	+	1.76571i
$754$	−1.19987	−	8.34530i	−0.0436968	−	0.303918i
$755$	−16.1352	+	10.7224i	−0.587218	+	0.390227i
$756$	−2.97789	−	3.43666i	−0.108305	−	0.124990i
$757$	1.36271	+	4.64095i	0.0495284	+	0.168678i	0.980543	−	0.196303i	$-0.0628936\pi$
$757$	1.36271	+	4.64095i	0.0495284	+	0.168678i	−0.931015	+	0.364981i	$0.881075\pi$
$758$		−	22.3893i		−	0.813215i
$759$	−10.5227	−	10.3708i	−0.381951	−	0.376435i
$760$	0.250651	+	16.3524i	0.00909207	+	0.593164i
$761$	17.0170	−	4.99666i	0.616867	−	0.181129i	0.0416541	−	0.999132i	$-0.486737\pi$
$761$	17.0170	−	4.99666i	0.616867	−	0.181129i	0.575213	+	0.818003i	$0.304919\pi$
$762$	11.2247	−	9.72626i	0.406628	−	0.352345i
$763$	−34.0519	−	52.9858i	−1.23276	−	1.91822i
$764$	3.09355	+	21.5161i	0.111921	+	0.778426i
$765$	−11.1949	+	18.0210i	−0.404751	+	0.651550i
$766$	−10.5181	+	23.0315i	−0.380036	+	0.832163i
$767$	−19.0062	−	16.4690i	−0.686275	−	0.594661i
$768$	−2.33222	−	0.335323i	−0.0841569	−	0.0120999i
$769$	−1.07223	−	2.34787i	−0.0386658	−	0.0846662i	0.889314	−	0.457298i	$-0.151183\pi$
$769$	−1.07223	−	2.34787i	−0.0386658	−	0.0846662i	−0.927979	+	0.372632i	$0.878455\pi$
$770$	12.1296	+	3.36052i	0.437120	+	0.121105i
$771$	54.3393	+	15.9555i	1.95698	+	0.574622i
$772$	4.06152	−	1.85483i	0.146177	−	0.0667569i
$773$	−0.383553	−	0.0551466i	−0.0137954	−	0.00198349i	0.135414	−	0.990789i	$-0.456764\pi$
$773$	−0.383553	−	0.0551466i	−0.0137954	−	0.00198349i	−0.149209	+	0.988806i	$0.547673\pi$
$774$	−5.56211	+	6.41901i	−0.199926	+	0.230727i
$775$	−9.14501	+	21.7667i	−0.328498	+	0.781882i
$776$	−4.09978	−	2.63477i	−0.147174	−	0.0945827i
$777$	58.3898	−	8.39518i	2.09472	−	0.301175i
$778$	12.2740	+	19.0987i	0.440045	+	0.684723i
$779$	−14.5032	−	16.7376i	−0.519632	−	0.599687i
$780$	−18.2828	+	5.67408i	−0.654628	+	0.203165i
$781$	−17.5475			−0.627900
$782$	−1.40143	−	17.7765i	−0.0501151	−	0.635687i
$783$		−	2.45100i		−	0.0875915i
$784$	11.0672	−	3.24962i	0.395257	−	0.116058i
$785$	24.1863	−	21.6154i	0.863247	−	0.771487i
$786$	16.0630	−	10.3231i	0.572948	−	0.368211i
$787$	−17.4770	+	2.51282i	−0.622990	+	0.0895724i	−0.446579	−	0.894744i	$-0.647358\pi$
$787$	−17.4770	+	2.51282i	−0.622990	+	0.0895724i	−0.176411	+	0.984317i	$0.556449\pi$
$788$	−4.90082	+	7.62582i	−0.174584	+	0.271659i
$789$	−9.41637	+	20.6190i	−0.335232	+	0.734055i
$790$	28.2178	+	23.7035i	1.00394	+	0.843334i
$791$	−5.27034	+	36.6560i	−0.187392	+	1.30334i
$792$	−3.03478	+	1.38594i	−0.107836	+	0.0492472i
$793$	9.66032	−	32.9000i	0.343048	−	1.16831i
$794$	1.75515	+	0.515360i	0.0622881	+	0.0182894i
$795$	12.1567	+	25.5747i	0.431152	+	0.907040i
$796$	1.03528	−	7.20053i	0.0366945	−	0.255216i
$797$	10.5883	+	9.17482i	0.375057	+	0.324989i	0.821909	−	0.569619i	$-0.192909\pi$
$797$	10.5883	+	9.17482i	0.375057	+	0.324989i	−0.446852	+	0.894608i	$0.647455\pi$
$798$	67.4865	+	30.8200i	2.38899	+	1.09102i
$799$	−16.9895	−	10.9185i	−0.601046	−	0.386269i
$800$	4.92497	−	0.862925i	0.174124	−	0.0305090i
$801$	−20.1150	+	12.9271i	−0.710727	+	0.456757i
$802$	9.44466	−	8.18384i	0.333503	−	0.288982i
$803$	−5.01947	−	17.0947i	−0.177133	−	0.603260i
$804$	−7.86755			−0.277467
$805$	45.9639	−	4.33339i	1.62001	−	0.152732i
$806$	17.1566			0.604317
$807$	3.45409	+	11.7636i	0.121590	+	0.414097i
$808$	−1.29910	+	1.12568i	−0.0457022	+	0.0396011i
$809$	−41.8410	+	26.8896i	−1.47105	+	0.945387i	−0.473127	+	0.880994i	$0.656875\pi$
$809$	−41.8410	+	26.8896i	−1.47105	+	0.945387i	−0.997925	+	0.0643932i	$0.979489\pi$
$810$	−22.3995	+	3.57177i	−0.787037	+	0.125499i
$811$	36.5719	+	23.5033i	1.28421	+	0.825314i	0.991401	−	0.130856i	$-0.0417726\pi$
$811$	36.5719	+	23.5033i	1.28421	+	0.825314i	0.292812	+	0.956170i	$0.405409\pi$
$812$	9.08717	+	4.14997i	0.318897	+	0.145636i
$813$	9.57403	+	8.29594i	0.335776	+	0.290951i
$814$	−1.08207	+	7.52599i	−0.0379267	+	0.263786i
$815$	−9.10007	+	4.32563i	−0.318761	+	0.151520i
$816$	−8.40589	−	2.46819i	−0.294265	−	0.0864040i
$817$	−6.85872	+	23.3587i	−0.239956	+	0.817216i
$818$	26.8185	−	12.2476i	0.937687	−	0.428227i
$819$	−5.68045	+	39.5084i	−0.198491	+	1.38054i
$820$	−4.35511	+	5.18453i	−0.152087	+	0.181052i
$821$	−2.50208	+	5.47880i	−0.0873233	+	0.191211i	−0.948255	−	0.317508i	$-0.897154\pi$
$821$	−2.50208	+	5.47880i	−0.0873233	+	0.191211i	0.860932	+	0.508720i	$0.169881\pi$
$822$	2.00807	−	3.12462i	0.0700394	−	0.108984i
$823$	52.1911	−	7.50394i	1.81927	−	0.261571i	0.853520	−	0.521059i	$-0.174463\pi$
$823$	52.1911	−	7.50394i	1.81927	−	0.261571i	0.965746	+	0.259488i	$0.0835539\pi$
$824$	9.26442	−	5.95388i	0.322741	−	0.207413i
$825$	11.3264	−	10.4391i	0.394335	−	0.363441i
$826$	28.5916	−	8.39524i	0.994828	−	0.292108i
$827$		−	39.8788i		−	1.38672i	−0.720590	−	0.693361i	$-0.756129\pi$
$827$		−	39.8788i		−	1.38672i	0.720590	−	0.693361i	$-0.243871\pi$
$828$	−8.59011	+	8.71599i	−0.298527	+	0.302902i
$829$	21.5781			0.749438			0.374719	−	0.927138i	$-0.377739\pi$
$829$	21.5781			0.749438			0.374719	+	0.927138i	$0.377739\pi$
$830$	21.3733	−	6.63324i	0.741879	−	0.230243i
$831$	−12.4431	−	14.3601i	−0.431646	−	0.498146i
$832$	−1.96436	−	3.05660i	−0.0681018	−	0.105968i
$833$	42.4503	−	6.10344i	1.47082	−	0.211472i
$834$	−15.4895	−	9.95451i	−0.536358	−	0.344696i
$835$	1.87499	+	0.821785i	0.0648865	+	0.0284390i
$836$	−6.26220	+	7.22696i	−0.216583	+	0.249950i
$837$	4.93682	+	0.709808i	0.170641	+	0.0245345i
$838$	−15.0357	+	6.86656i	−0.519399	+	0.237201i
$839$	20.0280	+	5.88076i	0.691444	+	0.203026i	0.608531	−	0.793530i	$-0.291759\pi$
$839$	20.0280	+	5.88076i	0.691444	+	0.203026i	0.0829137	+	0.996557i	$0.473577\pi$
$840$	6.05605	−	21.8589i	0.208954	−	0.754205i
$841$	−9.81022	−	21.4814i	−0.338284	−	0.740738i
$842$	−23.1017	−	3.32152i	−0.796138	−	0.114467i
$843$	−10.6094	−	9.19312i	−0.365408	−	0.316628i
$844$	10.0941	−	22.1029i	0.347452	−	0.760814i
$845$	−0.382712	−	0.237746i	−0.0131657	−	0.00817872i
$846$	1.97246	+	13.7188i	0.0678145	+	0.471660i
$847$	−21.6242	−	33.6478i	−0.743015	−	1.15615i
$848$	−4.06186	+	3.51962i	−0.139485	+	0.120864i
$849$	73.4190	−	21.5578i	2.51973	−	0.739861i
$850$	18.5821	−	0.569789i	0.637360	−	0.0195436i
$851$	6.12640	+	27.2083i	0.210010	+	0.932688i
$852$			31.6227i			1.08338i
$853$	9.19707	+	31.3223i	0.314902	+	1.07246i	0.953118	+	0.302599i	$0.0978544\pi$
$853$	9.19707	+	31.3223i	0.314902	+	1.07246i	−0.638216	+	0.769857i	$0.720327\pi$
$854$	26.6061	+	30.7051i	0.910443	+	1.05071i
$855$	34.7569	−	23.0972i	1.18866	−	0.789907i
$856$	−2.22956	−	15.5070i	−0.0762049	−	0.530017i
$857$	−11.8010	+	18.3627i	−0.403115	+	0.627258i	−0.982162	−	0.188035i	$-0.939788\pi$
$857$	−11.8010	+	18.3627i	−0.403115	+	0.627258i	0.579048	+	0.815294i	$0.303424\pi$
$858$	−10.1817	−	4.64983i	−0.347598	−	0.158743i
$859$	−5.09027	+	5.87449i	−0.173678	+	0.200435i	−0.835914	−	0.548860i	$-0.815062\pi$
$859$	−5.09027	+	5.87449i	−0.173678	+	0.200435i	0.662236	+	0.749295i	$0.269607\pi$
$860$	7.38253	+	0.946203i	0.251742	+	0.0322652i
$861$	12.7601	+	27.9406i	0.434862	+	0.952215i
$862$	9.05317	−	30.8323i	0.308352	−	1.05015i
$863$	0.771653	−	2.62801i	0.0262674	−	0.0894584i	−0.945316	−	0.326155i	$-0.894247\pi$
$863$	0.771653	−	2.62801i	0.0262674	−	0.0894584i	0.971584	+	0.236697i	$0.0760649\pi$
$864$	−0.438785	−	0.960805i	−0.0149278	−	0.0326872i
$865$	−29.2113	−	3.74394i	−0.993213	−	0.127298i
$866$	−16.3878	+	18.9126i	−0.556882	+	0.642676i
$867$	6.80550	+	3.10797i	0.231127	+	0.105552i
$868$	−10.9905	+	17.1016i	−0.373044	+	0.580467i
$869$	3.06663	+	21.3289i	0.104028	+	0.723533i
$870$	10.1824	−	6.76654i	0.345214	−	0.229407i
$871$	−7.94487	−	9.16886i	−0.269202	−	0.310675i
$872$	−4.12174	−	14.0373i	−0.139580	−	0.475364i
$873$			12.4356i			0.420880i
$874$	−12.0185	+	32.9529i	−0.406531	+	1.11465i
$875$	2.21241	+	48.0823i	0.0747933	+	1.62548i
$876$	−30.8068	+	9.04568i	−1.04086	+	0.305625i
$877$	−42.6282	+	36.9376i	−1.43945	+	1.24729i	−0.519959	+	0.854191i	$0.674053\pi$
$877$	−42.6282	+	36.9376i	−1.43945	+	1.24729i	−0.919495	+	0.393102i	$0.871402\pi$
$878$	4.45786	+	6.93657i	0.150446	+	0.234098i
$879$	−4.22788	−	29.4055i	−0.142603	−	0.991824i
$880$	2.48341	+	1.54273i	0.0837157	+	0.0520053i
$881$	−22.8644	+	50.0661i	−0.770322	+	1.68677i	−0.0443804	+	0.999015i	$0.514131\pi$
$881$	−22.8644	+	50.0661i	−0.770322	+	1.68677i	−0.725942	+	0.687756i	$0.758596\pi$
$882$	−22.2436	−	19.2742i	−0.748982	−	0.648997i
$883$	−13.3402	−	1.91803i	−0.448934	−	0.0645469i	−0.0858597	−	0.996307i	$-0.527364\pi$
$883$	−13.3402	−	1.91803i	−0.448934	−	0.0645469i	−0.363074	+	0.931760i	$0.618273\pi$
$884$	−5.61206	−	12.2887i	−0.188754	−	0.413313i
$885$	9.73658	−	35.1436i	0.327292	−	1.18134i
$886$	−30.3862	−	8.92220i	−1.02085	−	0.299747i
$887$	24.5032	−	11.1902i	0.822736	−	0.375731i	0.0408599	−	0.999165i	$-0.486990\pi$
$887$	24.5032	−	11.1902i	0.822736	−	0.375731i	0.781876	+	0.623434i	$0.214263\pi$
$888$	13.5627	+	1.95003i	0.455135	+	0.0654386i
$889$	−17.7714	+	20.5093i	−0.596034	+	0.687860i
$890$	19.1907	+	8.41104i	0.643272	+	0.281939i
$891$	−11.1574	−	7.17041i	−0.373786	−	0.240218i
$892$	−19.3171	+	2.77738i	−0.646784	+	0.0929935i
$893$	21.4774	+	33.4195i	0.718715	+	1.11834i
$894$	21.8413	+	25.2063i	0.730484	+	0.843023i
$895$	−10.6358	+	3.30084i	−0.355516	+	0.110335i
$896$	4.30516			0.143825
$897$	−40.9728	−	2.63104i	−1.36804	−	0.0878479i
$898$			4.06006i			0.135486i
$899$	−10.5132	+	3.08696i	−0.350636	+	0.102956i
$900$	−8.64668	−	9.38168i	−0.288223	−	0.312723i
$901$	−16.8114	+	10.8040i	−0.560067	+	0.359933i
$902$	−3.91881	+	0.563440i	−0.130482	+	0.0187605i
$903$	18.2545	−	28.4046i	0.607472	−	0.945245i
$904$	−3.57339	+	7.82464i	−0.118849	+	0.260244i
$905$	10.6037	−	12.6231i	0.352479	−	0.419608i
$906$	−2.90519	+	20.2061i	−0.0965186	+	0.671302i
$907$	15.7413	−	7.18882i	0.522682	−	0.238701i	−0.136560	−	0.990632i	$-0.543605\pi$
$907$	15.7413	−	7.18882i	0.522682	−	0.238701i	0.659242	+	0.751931i	$0.270877\pi$
$908$	1.89626	−	6.45806i	0.0629295	−	0.214318i
$909$	4.20860	+	1.23576i	0.139591	+	0.0409875i
$910$	31.5900	−	15.0160i	1.04720	−	0.497776i
$911$	1.58726	−	11.0396i	0.0525881	−	0.365759i	−0.946486	−	0.322744i	$-0.895395\pi$
$911$	1.58726	−	11.0396i	0.0525881	−	0.365759i	0.999074	−	0.0430146i	$-0.0136962\pi$
$912$	13.0238	+	11.2852i	0.431263	+	0.373691i
$913$	11.9029	+	5.43585i	0.393927	+	0.179900i
$914$	16.8024	+	10.7983i	0.555775	+	0.357175i
$915$	49.1009	−	7.82952i	1.62322	−	0.258836i
$916$	−16.2662	+	10.4537i	−0.537451	+	0.345399i
$917$	−26.3666	+	22.8468i	−0.870701	+	0.754466i
$918$	−1.10646	−	3.76825i	−0.0365185	−	0.124371i
$919$	−19.4703			−0.642266			−0.321133	−	0.947034i	$-0.604064\pi$
$919$	−19.4703			−0.642266			−0.321133	+	0.947034i	$0.604064\pi$
$920$	10.5276	+	2.04212i	0.347084	+	0.0673268i
$921$	28.9749			0.954756
$922$	−4.49496	−	15.3084i	−0.148034	−	0.504156i
$923$	−36.8532	+	31.9335i	−1.21304	+	1.05110i
$924$	11.1573	−	7.17038i	0.367049	−	0.235888i
$925$	−28.6405	+	5.01822i	−0.941694	+	0.164998i
$926$	−13.5803	−	8.72750i	−0.446275	−	0.286804i
$927$	−25.5616	−	11.6736i	−0.839555	−	0.383412i
$928$	1.75368	+	1.51958i	0.0575675	+	0.0498825i
$929$	4.61075	−	32.0685i	0.151274	−	1.05213i	−0.762815	−	0.646617i	$-0.776183\pi$
$929$	4.61075	−	32.0685i	0.151274	−	1.05213i	0.914088	−	0.405515i	$-0.132908\pi$
$930$	10.6804	+	22.4690i	0.350224	+	0.736787i
$931$	−80.9442	−	23.7674i	−2.65284	−	0.778944i
$932$	2.37548	−	8.09013i	0.0778113	−	0.265001i
$933$	−70.9833	+	32.4170i	−2.32389	+	1.06128i
$934$	−1.30343	+	9.06557i	−0.0426496	+	0.296635i
$935$	8.32340	+	6.99182i	0.272204	+	0.228657i
$936$	−3.85146	+	8.43352i	−0.125889	+	0.275658i
$937$	−24.6658	+	38.3807i	−0.805796	+	1.25384i	0.158062	+	0.987429i	$0.449475\pi$
$937$	−24.6658	+	38.3807i	−0.805796	+	1.25384i	−0.963859	+	0.266415i	$0.914161\pi$
$938$	14.2289	−	2.04581i	0.464591	−	0.0667982i
$939$	−14.1231	+	9.07638i	−0.460891	+	0.296197i
$940$	9.05588	−	8.09327i	0.295370	−	0.263973i
$941$	27.2518	−	8.00184i	0.888382	−	0.260853i	0.194467	−	0.980909i	$-0.437702\pi$
$941$	27.2518	−	8.00184i	0.888382	−	0.260853i	0.693915	+	0.720056i	$0.255884\pi$
$942$		−	34.1805i		−	1.11366i
$943$	−12.6948	+	7.05226i	−0.413401	+	0.229653i
$944$	6.92160			0.225279
$945$	9.71126	−	3.01390i	0.315907	−	0.0980423i
$946$	2.84995	+	3.28902i	0.0926599	+	0.106935i
$947$	22.7088	+	35.3356i	0.737938	+	1.14825i	0.983856	+	0.178964i	$0.0572744\pi$
$947$	22.7088	+	35.3356i	0.737938	+	1.14825i	−0.245918	+	0.969291i	$0.579089\pi$
$948$	38.4372	−	5.52643i	1.24838	−	0.179490i
$949$	−41.6513	−	26.7677i	−1.35206	−	0.868916i
$950$	−33.7147	−	14.1648i	−1.09385	−	0.459567i
$951$	−10.9572	+	12.6453i	−0.355312	+	0.410052i
$952$	15.8444	+	2.27808i	0.513519	+	0.0738328i
$953$	1.47544	−	0.673811i	0.0477942	−	0.0218269i	−0.391375	−	0.920231i	$-0.628000\pi$
$953$	1.47544	−	0.673811i	0.0477942	−	0.0218269i	0.439169	+	0.898405i	$0.355273\pi$
$954$	13.1589	+	3.86381i	0.426037	+	0.125096i
$955$	−46.8418	−	12.9776i	−1.51576	−	0.419945i
$956$	7.88720	+	17.2706i	0.255090	+	0.558570i
$957$	7.07578	+	1.01734i	0.228727	+	0.0328860i
$958$	−4.20395	−	3.64274i	−0.135823	−	0.117692i
$959$	−2.81921	+	6.17322i	−0.0910372	+	0.199344i
$960$	2.78018	−	4.47540i	0.0897298	−	0.144443i
$961$	1.23860	+	8.61465i	0.0399548	+	0.277892i
$962$	11.4234	+	17.7752i	0.368307	+	0.573096i
$963$	−30.2120	+	26.1788i	−0.973568	+	0.843601i
$964$	−3.65232	+	1.07242i	−0.117633	+	0.0345403i
$965$	0.153019	+	9.98290i	0.00492585	+	0.321361i
$966$	28.8698	−	39.1559i	0.928869	−	1.25982i
$967$		−	15.0065i		−	0.482577i	−0.970453	−	0.241289i	$-0.922430\pi$
$967$		−	15.0065i		−	0.482577i	0.970453	−	0.241289i	$-0.0775700\pi$
$968$	−2.61745	−	8.91420i	−0.0841279	−	0.286513i
$969$	41.9603	+	48.4248i	1.34796	+	1.55563i
$970$	9.07602	−	6.03133i	0.291413	−	0.193654i
$971$	3.64021	+	25.3182i	0.116820	+	0.812501i	0.961021	+	0.276474i	$0.0891661\pi$
$971$	3.64021	+	25.3182i	0.116820	+	0.812501i	−0.844201	+	0.536026i	$0.819925\pi$
$972$	−11.2088	+	17.4412i	−0.359521	+	0.559426i
$973$	30.6022	+	13.9756i	0.981062	+	0.448036i
$974$	13.4059	−	15.4713i	0.429553	−	0.495731i
$975$	4.79036	−	42.5362i	0.153414	−	1.36225i
$976$	3.92035	+	8.58438i	0.125487	+	0.274779i
$977$	−2.10745	+	7.17733i	−0.0674234	+	0.229623i	−0.986311	−	0.164897i	$-0.947271\pi$
$977$	−2.10745	+	7.17733i	−0.0674234	+	0.229623i	0.918887	+	0.394520i	$0.129089\pi$
$978$	−2.99120	+	10.1871i	−0.0956482	+	0.325748i
$979$	5.08947	+	11.1444i	0.162660	+	0.356176i
$980$	−3.27885	+	25.5825i	−0.104739	+	0.817203i
$981$	−24.4469	+	28.2132i	−0.780530	+	0.900779i
$982$	−0.488643	−	0.223156i	−0.0155932	−	0.00712119i
$983$	−1.10045	+	1.71233i	−0.0350988	+	0.0546148i	−0.858360	−	0.513048i	$-0.828516\pi$
$983$	−1.10045	+	1.71233i	−0.0350988	+	0.0546148i	0.823261	+	0.567663i	$0.192152\pi$
$984$	1.01539	+	7.06217i	0.0323693	+	0.225134i
$985$	−11.2186	−	16.8819i	−0.357455	−	0.537902i
$986$	5.65003	+	6.52048i	0.179934	+	0.207654i
$987$	−15.5227	−	52.8653i	−0.494092	−	1.68272i
$988$			26.5741i			0.845436i
$989$	14.0659	+	7.54828i	0.447270	+	0.240021i
$990$	−0.114336	−	7.45926i	−0.00363384	−	0.237071i
$991$	35.7877	−	10.5082i	1.13683	−	0.333804i	0.341443	−	0.939903i	$-0.389084\pi$
$991$	35.7877	−	10.5082i	1.13683	−	0.333804i	0.795390	+	0.606098i	$0.207266\pi$
$992$	−3.56861	+	3.09222i	−0.113303	+	0.0981780i
$993$	−31.5008	−	49.0161i	−0.999646	−	1.55548i
$994$	−8.22291	−	57.1916i	−0.260815	−	1.81401i
$995$	13.8174	+	8.58354i	0.438040	+	0.272116i
$996$	9.79605	−	21.4504i	0.310400	−	0.679680i
$997$	−2.78682	−	2.41479i	−0.0882594	−	0.0764772i	0.609614	−	0.792699i	$-0.291325\pi$
$997$	−2.78682	−	2.41479i	−0.0882594	−	0.0764772i	−0.697873	+	0.716221i	$0.745870\pi$
$998$	−41.0458	−	5.90150i	−1.29928	−	0.186809i
$999$	2.55169	+	5.58743i	0.0807320	+	0.176778i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.9.5	✓	120
5.4	even	2	inner	230.2.j.a.9.8	yes	120
23.18	even	11	inner	230.2.j.a.179.8	yes	120
115.64	even	22	inner	230.2.j.a.179.5	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.9.5	✓	120	1.1	even	1	trivial
230.2.j.a.9.8	yes	120	5.4	even	2	inner
230.2.j.a.179.5	yes	120	115.64	even	22	inner
230.2.j.a.179.8	yes	120	23.18	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)

\(f(q)\)	\(=\)	\(q+(-0.281733 - 0.959493i) q^{2} +(1.78070 - 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.352110 - 2.20817i) q^{5} +(-1.98217 - 1.27386i) q^{6} +(3.91611 + 1.78843i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.363147 - 2.52574i) q^{9} +O(q^{10})\)	\(q+(-0.281733 - 0.959493i) q^{2} +(1.78070 - 1.54299i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(-0.352110 - 2.20817i) q^{5} +(-1.98217 - 1.27386i) q^{6} +(3.91611 + 1.78843i) q^{7} +(0.755750 + 0.654861i) q^{8} +(0.363147 - 2.52574i) q^{9} +(-2.01952 + 0.959961i) q^{10} +(-1.25450 - 0.368356i) q^{11} +(-0.663820 + 2.26076i) q^{12} +(-3.30504 + 1.50936i) q^{13} +(0.612689 - 4.26134i) q^{14} +(-4.03418 - 3.38879i) q^{15} +(0.415415 - 0.909632i) q^{16} +(2.01019 - 3.12792i) q^{17} +(-2.52574 + 0.363147i) q^{18} +(-6.15283 + 3.95418i) q^{19} +(1.49004 + 1.66727i) q^{20} +(9.73296 - 2.85785i) q^{21} +1.30747i q^{22} +(1.70861 + 4.48114i) q^{23} +2.35621 q^{24} +(-4.75204 + 1.55504i) q^{25} +(2.37936 + 2.74593i) q^{26} +(0.571055 + 0.888580i) q^{27} +(-4.26134 + 0.612689i) q^{28} +(-1.95209 - 1.25453i) q^{29} +(-2.11496 + 4.82550i) q^{30} +(3.09222 - 3.56861i) q^{31} +(-0.989821 - 0.142315i) q^{32} +(-2.80227 + 1.27975i) q^{33} +(-3.56755 - 1.04753i) q^{34} +(2.57025 - 9.27717i) q^{35} +(1.06002 + 2.32112i) q^{36} +(5.75617 + 0.827612i) q^{37} +(5.52746 + 4.78957i) q^{38} +(-3.55637 + 7.78737i) q^{39} +(1.17994 - 1.89941i) q^{40} +(0.430941 + 2.99726i) q^{41} +(-5.48418 - 8.53356i) q^{42} +(2.51557 - 2.17975i) q^{43} +(1.25450 - 0.368356i) q^{44} +(-5.70513 + 0.0874487i) q^{45} +(3.81826 - 2.90188i) q^{46} -5.43158i q^{47} +(-0.663820 - 2.26076i) q^{48} +(7.55344 + 8.71714i) q^{49} +(2.83085 + 4.12144i) q^{50} +(-1.24679 - 8.67159i) q^{51} +(1.96436 - 3.05660i) q^{52} +(-4.88892 - 2.23270i) q^{53} +(0.691701 - 0.798266i) q^{54} +(-0.371669 + 2.89986i) q^{55} +(1.78843 + 3.91611i) q^{56} +(-4.85510 + 16.5350i) q^{57} +(-0.653748 + 2.22646i) q^{58} +(2.87534 + 6.29611i) q^{59} +(5.22589 + 0.669791i) q^{60} +(-6.18005 + 7.13216i) q^{61} +(-4.29523 - 1.96157i) q^{62} +(5.93923 - 9.24163i) q^{63} +(0.142315 + 0.989821i) q^{64} +(4.49667 + 6.76664i) q^{65} +(2.01740 + 2.32821i) q^{66} +(0.940726 + 3.20382i) q^{67} +3.71816i q^{68} +(9.95688 + 5.34322i) q^{69} +(-9.62551 + 0.147541i) q^{70} +(12.8774 - 3.78114i) q^{71} +(1.92846 - 1.67102i) q^{72} +(7.36715 + 11.4635i) q^{73} +(-0.827612 - 5.75617i) q^{74} +(-6.06256 + 10.1014i) q^{75} +(3.03830 - 6.65294i) q^{76} +(-4.25400 - 3.68611i) q^{77} +(8.47387 + 1.21836i) q^{78} +(-6.84642 - 14.9916i) q^{79} +(-2.15489 - 0.597017i) q^{80} +(9.73300 + 2.85787i) q^{81} +(2.75444 - 1.25791i) q^{82} +(-9.90631 - 1.42431i) q^{83} +(-6.64281 + 7.66622i) q^{84} +(-7.61478 - 3.33747i) q^{85} +(-2.80018 - 1.79956i) q^{86} +(-5.41183 + 0.778103i) q^{87} +(-0.706869 - 1.09991i) q^{88} +(-6.13634 - 7.08172i) q^{89} +(1.69123 + 5.44940i) q^{90} -15.6423 q^{91} +(-3.86006 - 2.84603i) q^{92} -11.1259i q^{93} +(-5.21156 + 1.53025i) q^{94} +(10.8980 + 12.1942i) q^{95} +(-1.98217 + 1.27386i) q^{96} +(-4.82382 + 0.693560i) q^{97} +(6.23598 - 9.70338i) q^{98} +(-1.38594 + 3.03478i) 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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