LMFDB - Embedded newform 230.2.j.a.59.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			59.6
Character	$\chi$	$=$	230.59
Dual form			230.2.j.a.39.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.755750 + 0.654861i) q^{2} +(1.53906 - 2.39482i) q^{3} +(0.142315 - 0.989821i) q^{4} +(2.02453 + 0.949357i) q^{5} +(0.405132 + 2.81775i) q^{6} +(0.910283 - 3.10014i) q^{7} +(0.540641 + 0.841254i) q^{8} +(-2.12022 - 4.64264i) q^{9} +O(q^{10})$	\(q+(-0.755750 + 0.654861i) q^{2} +(1.53906 - 2.39482i) q^{3} +(0.142315 - 0.989821i) q^{4} +(2.02453 + 0.949357i) q^{5} +(0.405132 + 2.81775i) q^{6} +(0.910283 - 3.10014i) q^{7} +(0.540641 + 0.841254i) q^{8} +(-2.12022 - 4.64264i) q^{9} +(-2.15173 + 0.608309i) q^{10} +(-3.94387 + 4.55147i) q^{11} +(-2.15141 - 1.86421i) q^{12} +(0.340845 + 1.16081i) q^{13} +(1.34221 + 2.93904i) q^{14} +(5.38941 - 3.38727i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(-1.29069 + 0.185573i) q^{17} +(4.64264 + 2.12022i) q^{18} +(0.209321 - 1.45586i) q^{19} +(1.22781 - 1.86882i) q^{20} +(-6.02330 - 6.95125i) q^{21} -6.02246i q^{22} +(2.38929 - 4.15828i) q^{23} +2.84673 q^{24} +(3.19744 + 3.84400i) q^{25} +(-1.01776 - 0.654076i) q^{26} +(-5.92817 - 0.852342i) q^{27} +(-2.93904 - 1.34221i) q^{28} +(0.985439 + 6.85388i) q^{29} +(-1.85485 + 6.08924i) q^{30} +(5.03517 - 3.23591i) q^{31} +(0.909632 - 0.415415i) q^{32} +(4.83011 + 16.4498i) q^{33} +(0.853912 - 0.985467i) q^{34} +(4.78603 - 5.41214i) q^{35} +(-4.89712 + 1.43792i) q^{36} +(-10.2677 + 4.68909i) q^{37} +(0.795190 + 1.23734i) q^{38} +(3.30451 + 0.970293i) q^{39} +(0.295894 + 2.21640i) q^{40} +(-0.408686 + 0.894897i) q^{41} +(9.10421 + 1.30899i) q^{42} +(0.896033 - 1.39425i) q^{43} +(3.94387 + 4.55147i) q^{44} +(0.115068 - 11.4120i) q^{45} +(0.917390 + 4.70727i) q^{46} +8.01306i q^{47} +(-2.15141 + 1.86421i) q^{48} +(-2.89346 - 1.85952i) q^{49} +(-4.93375 - 0.811224i) q^{50} +(-1.54203 + 3.37657i) q^{51} +(1.19750 - 0.172175i) q^{52} +(2.48001 - 8.44614i) q^{53} +(5.03838 - 3.23797i) q^{54} +(-12.3055 + 5.47045i) q^{55} +(3.10014 - 0.910283i) q^{56} +(-3.16436 - 2.74194i) q^{57} +(-5.23308 - 4.53449i) q^{58} +(-5.17601 + 1.51981i) q^{59} +(-2.58580 - 5.81661i) q^{60} +(-11.8079 + 7.58847i) q^{61} +(-1.68626 + 5.74287i) q^{62} +(-16.3228 + 2.34687i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(-0.411973 + 2.67368i) q^{65} +(-14.4227 - 9.26892i) q^{66} +(4.16967 - 3.61304i) q^{67} +1.30396i q^{68} +(-6.28108 - 12.1218i) q^{69} +(-0.0728444 + 7.22441i) q^{70} +(3.06784 + 3.54048i) q^{71} +(2.75936 - 4.29364i) q^{72} +(6.25614 + 0.899497i) q^{73} +(4.68909 - 10.2677i) q^{74} +(14.1267 - 1.74116i) q^{75} +(-1.41125 - 0.414380i) q^{76} +(10.5202 + 16.3697i) q^{77} +(-3.13279 + 1.43070i) q^{78} +(-3.31432 + 0.973172i) q^{79} +(-1.67506 - 1.48128i) q^{80} +(-1.13804 + 1.31337i) q^{81} +(-0.277169 - 0.943950i) q^{82} +(0.802045 - 0.366282i) q^{83} +(-7.73770 + 4.97272i) q^{84} +(-2.78921 - 0.849626i) q^{85} +(0.235866 + 1.64048i) q^{86} +(17.9305 + 8.18856i) q^{87} +(-5.96116 - 0.857086i) q^{88} +(4.01616 + 2.58103i) q^{89} +(7.38631 + 8.69997i) q^{90} +3.90894 q^{91} +(-3.77592 - 2.95675i) q^{92} -17.0386i q^{93} +(-5.24744 - 6.05587i) q^{94} +(1.80591 - 2.74871i) q^{95} +(0.405132 - 2.81775i) q^{96} +(-2.06901 - 0.944884i) q^{97} +(3.40446 - 0.489487i) q^{98} +(29.4927 + 8.65985i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{7}{11}\right)$

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 $

$2$	−0.755750	+	0.654861i	−0.534396	+	0.463056i
$2$	−0.755750	+	0.654861i	−0.534396	+	0.463056i
$3$	1.53906	−	2.39482i	0.888575	−	1.38265i	−0.0350630	−	0.999385i	$-0.511163\pi$
$3$	1.53906	−	2.39482i	0.888575	−	1.38265i	0.923638	−	0.383265i	$-0.125200\pi$
$4$	0.142315	−	0.989821i	0.0711574	−	0.494911i
$5$	2.02453	+	0.949357i	0.905397	+	0.424565i
$5$	2.02453	+	0.949357i	0.905397	+	0.424565i
$6$	0.405132	+	2.81775i	0.165394	+	1.15034i
$7$	0.910283	−	3.10014i	0.344054	−	1.17174i	−0.587829	−	0.808985i	$-0.700017\pi$
$7$	0.910283	−	3.10014i	0.344054	−	1.17174i	0.931884	−	0.362757i	$-0.118164\pi$
$8$	0.540641	+	0.841254i	0.191145	+	0.297428i
$9$	−2.12022	−	4.64264i	−0.706740	−	1.54755i
$10$	−2.15173	+	0.608309i	−0.680438	+	0.192364i
$11$	−3.94387	+	4.55147i	−1.18912	+	1.37232i	−0.277794	+	0.960641i	$0.589603\pi$
$11$	−3.94387	+	4.55147i	−1.18912	+	1.37232i	−0.911328	+	0.411680i	$0.864942\pi$
$12$	−2.15141	−	1.86421i	−0.621060	−	0.538151i
$13$	0.340845	+	1.16081i	0.0945333	+	0.321951i	0.993160	−	0.116764i	$-0.0372520\pi$
$13$	0.340845	+	1.16081i	0.0945333	+	0.321951i	−0.898626	+	0.438715i	$0.855434\pi$
$14$	1.34221	+	2.93904i	0.358721	+	0.785490i
$15$	5.38941	−	3.38727i	1.39154	−	0.874589i
$16$	−0.959493	−	0.281733i	−0.239873	−	0.0704331i
$17$	−1.29069	+	0.185573i	−0.313038	+	0.0450080i	−0.297043	−	0.954864i	$-0.596001\pi$
$17$	−1.29069	+	0.185573i	−0.313038	+	0.0450080i	−0.0159946	+	0.999872i	$0.505091\pi$
$18$	4.64264	+	2.12022i	1.09428	+	0.499741i
$19$	0.209321	−	1.45586i	0.0480215	−	0.333997i	−0.951621	−	0.307273i	$-0.900583\pi$
$19$	0.209321	−	1.45586i	0.0480215	−	0.333997i	0.999643	−	0.0267237i	$-0.00850742\pi$
$20$	1.22781	−	1.86882i	0.274548	−	0.417880i
$21$	−6.02330	−	6.95125i	−1.31439	−	1.51689i
$22$		−	6.02246i		−	1.28399i
$23$	2.38929	−	4.15828i	0.498201	−	0.867061i
$23$	2.38929	−	4.15828i	0.498201	−	0.867061i
$24$	2.84673			0.581086
$25$	3.19744	+	3.84400i	0.639489	+	0.768801i
$26$	−1.01776	−	0.654076i	−0.199600	−	0.128275i
$27$	−5.92817	−	0.852342i	−1.14088	−	0.164033i
$28$	−2.93904	−	1.34221i	−0.555426	−	0.253654i
$29$	0.985439	+	6.85388i	0.182991	+	1.27273i	0.849641	+	0.527362i	$0.176819\pi$
$29$	0.985439	+	6.85388i	0.182991	+	1.27273i	−0.666649	+	0.745371i	$0.732272\pi$
$30$	−1.85485	+	6.08924i	−0.338648	+	1.11174i
$31$	5.03517	−	3.23591i	0.904344	−	0.581186i	−0.00373167	−	0.999993i	$-0.501188\pi$
$31$	5.03517	−	3.23591i	0.904344	−	0.581186i	0.908075	+	0.418807i	$0.137551\pi$
$32$	0.909632	−	0.415415i	0.160802	−	0.0734357i
$33$	4.83011	+	16.4498i	0.840814	+	2.86355i
$34$	0.853912	−	0.985467i	0.146445	−	0.169006i
$35$	4.78603	−	5.41214i	0.808987	−	0.914818i
$36$	−4.89712	+	1.43792i	−0.816187	+	0.239654i
$37$	−10.2677	+	4.68909i	−1.68800	+	0.770882i	−0.689062	+	0.724702i	$0.741977\pi$
$37$	−10.2677	+	4.68909i	−1.68800	+	0.770882i	−0.998933	+	0.0461798i	$0.985295\pi$
$38$	0.795190	+	1.23734i	0.128997	+	0.200723i
$39$	3.30451	+	0.970293i	0.529146	+	0.155371i
$40$	0.295894	+	2.21640i	0.0467849	+	0.350444i
$41$	−0.408686	+	0.894897i	−0.0638260	+	0.139759i	−0.938857	−	0.344308i	$-0.888114\pi$
$41$	−0.408686	+	0.894897i	−0.0638260	+	0.139759i	0.875031	+	0.484067i	$0.160841\pi$
$42$	9.10421	+	1.30899i	1.40481	+	0.201981i
$43$	0.896033	−	1.39425i	0.136644	−	0.212622i	−0.766187	−	0.642617i	$-0.777849\pi$
$43$	0.896033	−	1.39425i	0.136644	−	0.212622i	0.902831	+	0.429996i	$0.141485\pi$
$44$	3.94387	+	4.55147i	0.594561	+	0.686160i
$45$	0.115068	−	11.4120i	0.0171534	−	1.70120i
$46$	0.917390	+	4.70727i	0.135262	+	0.694049i
$47$			8.01306i			1.16883i	0.811457	+	0.584413i	$0.198675\pi$
$47$			8.01306i			1.16883i	−0.811457	+	0.584413i	$0.801325\pi$
$48$	−2.15141	+	1.86421i	−0.310530	+	0.269076i
$49$	−2.89346	−	1.85952i	−0.413352	−	0.265645i
$50$	−4.93375	−	0.811224i	−0.697738	−	0.114724i
$51$	−1.54203	+	3.37657i	−0.215927	+	0.472815i
$52$	1.19750	−	0.172175i	0.166064	−	0.0238764i
$53$	2.48001	−	8.44614i	0.340656	−	1.16017i	−0.593956	−	0.804497i	$-0.702435\pi$
$53$	2.48001	−	8.44614i	0.340656	−	1.16017i	0.934612	−	0.355669i	$-0.115747\pi$
$54$	5.03838	−	3.23797i	0.685636	−	0.440632i
$55$	−12.3055	+	5.47045i	−1.65927	+	0.737635i
$56$	3.10014	−	0.910283i	0.414273	−	0.121642i
$57$	−3.16436	−	2.74194i	−0.419130	−	0.363178i
$58$	−5.23308	−	4.53449i	−0.687137	−	0.595408i
$59$	−5.17601	+	1.51981i	−0.673859	+	0.197863i	−0.600721	−	0.799459i	$-0.705120\pi$
$59$	−5.17601	+	1.51981i	−0.673859	+	0.197863i	−0.0731381	+	0.997322i	$0.523301\pi$
$60$	−2.58580	−	5.81661i	−0.333825	−	0.750921i
$61$	−11.8079	+	7.58847i	−1.51185	+	0.971605i	−0.518671	+	0.854974i	$0.673573\pi$
$61$	−11.8079	+	7.58847i	−1.51185	+	0.971605i	−0.993175	+	0.116630i	$0.962791\pi$
$62$	−1.68626	+	5.74287i	−0.214155	+	0.729346i
$63$	−16.3228	+	2.34687i	−2.05648	+	0.295677i
$64$	−0.415415	+	0.909632i	−0.0519269	+	0.113704i
$65$	−0.411973	+	2.67368i	−0.0510990	+	0.331629i
$66$	−14.4227	−	9.26892i	−1.77531	−	1.14092i
$67$	4.16967	−	3.61304i	0.509406	−	0.441403i	−0.361847	−	0.932238i	$-0.617854\pi$
$67$	4.16967	−	3.61304i	0.509406	−	0.441403i	0.871253	+	0.490835i	$0.163308\pi$
$68$			1.30396i			0.158128i
$69$	−6.28108	−	12.1218i	−0.756153	−	1.45929i
$70$	−0.0728444	+	7.22441i	−0.00870658	+	0.863482i
$71$	3.06784	+	3.54048i	0.364086	+	0.420177i	0.908004	−	0.418961i	$-0.137605\pi$
$71$	3.06784	+	3.54048i	0.364086	+	0.420177i	−0.543919	+	0.839138i	$0.683060\pi$
$72$	2.75936	−	4.29364i	0.325193	−	0.506011i
$73$	6.25614	+	0.899497i	0.732226	+	0.105278i	0.498335	−	0.866985i	$-0.333945\pi$
$73$	6.25614	+	0.899497i	0.732226	+	0.105278i	0.233891	+	0.972263i	$0.424854\pi$
$74$	4.68909	−	10.2677i	0.545096	−	1.19359i
$75$	14.1267	−	1.74116i	1.63122	−	0.201052i
$76$	−1.41125	−	0.414380i	−0.161881	−	0.0475327i
$77$	10.5202	+	16.3697i	1.19888	+	1.86550i
$78$	−3.13279	+	1.43070i	−0.354719	+	0.161995i
$79$	−3.31432	+	0.973172i	−0.372890	+	0.109490i	−0.462807	−	0.886459i	$-0.653158\pi$
$79$	−3.31432	+	0.973172i	−0.372890	+	0.109490i	0.0899175	+	0.995949i	$0.471340\pi$
$80$	−1.67506	−	1.48128i	−0.187277	−	0.165612i
$81$	−1.13804	+	1.31337i	−0.126449	+	0.145930i
$82$	−0.277169	−	0.943950i	−0.0306082	−	0.104242i
$83$	0.802045	−	0.366282i	0.0880359	−	0.0402046i	−0.370910	−	0.928669i	$-0.620954\pi$
$83$	0.802045	−	0.366282i	0.0880359	−	0.0402046i	0.458946	+	0.888464i	$0.348227\pi$
$84$	−7.73770	+	4.97272i	−0.844253	+	0.542568i
$85$	−2.78921	−	0.849626i	−0.302532	−	0.0921548i
$86$	0.235866	+	1.64048i	0.0254341	+	0.176898i
$87$	17.9305	+	8.18856i	1.92235	+	0.877906i
$88$	−5.96116	−	0.857086i	−0.635462	−	0.0913656i
$89$	4.01616	+	2.58103i	0.425713	+	0.273589i	0.735905	−	0.677085i	$-0.236757\pi$
$89$	4.01616	+	2.58103i	0.425713	+	0.273589i	−0.310192	+	0.950674i	$0.600393\pi$
$90$	7.38631	+	8.69997i	0.778586	+	0.917058i
$91$	3.90894			0.409768
$92$	−3.77592	−	2.95675i	−0.393667	−	0.308263i
$93$		−	17.0386i		−	1.76682i
$94$	−5.24744	−	6.05587i	−0.541232	−	0.624615i
$95$	1.80591	−	2.74871i	0.185282	−	0.282012i
$96$	0.405132	−	2.81775i	0.0413486	−	0.287586i
$97$	−2.06901	−	0.944884i	−0.210076	−	0.0959384i	0.307598	−	0.951516i	$-0.400475\pi$
$97$	−2.06901	−	0.944884i	−0.210076	−	0.0959384i	−0.517674	+	0.855578i	$0.673202\pi$
$98$	3.40446	−	0.489487i	0.343902	−	0.0494457i
$99$	29.4927	+	8.65985i	2.96413	+	0.870347i
$100$	4.25992	−	2.61784i	0.425992	−	0.261784i
$101$	−2.35438	−	5.15538i	−0.234270	−	0.512980i	0.755587	−	0.655049i	$-0.227352\pi$
$101$	−2.35438	−	5.15538i	−0.234270	−	0.512980i	−0.989857	+	0.142069i	$0.954625\pi$
$102$	−1.04580	−	3.56166i	−0.103549	−	0.352657i
$103$	−10.7814	−	9.34214i	−1.06232	−	0.920509i	−0.0653201	−	0.997864i	$-0.520807\pi$
$103$	−10.7814	−	9.34214i	−1.06232	−	0.920509i	−0.997004	+	0.0773557i	$0.975352\pi$
$104$	−0.792261	+	0.914319i	−0.0776876	+	0.0896563i
$105$	−5.59512	−	19.7913i	−0.546028	−	1.93143i
$106$	3.65678	+	8.00723i	0.355178	+	0.777731i
$107$	6.25561	+	9.73392i	0.604753	+	0.941013i	0.999751	+	0.0223314i	$0.00710890\pi$
$107$	6.25561	+	9.73392i	0.604753	+	0.941013i	−0.394998	+	0.918682i	$0.629255\pi$
$108$	−1.68733	+	5.74653i	−0.162364	+	0.552960i
$109$	1.63334	+	11.3601i	0.156446	+	1.08810i	0.905117	+	0.425163i	$0.139783\pi$
$109$	1.63334	+	11.3601i	0.156446	+	1.08810i	−0.748671	+	0.662941i	$0.769308\pi$
$110$	5.71747	−	12.1927i	0.545139	−	1.16252i
$111$	−4.57302	+	31.8060i	−0.434051	+	3.01889i
$112$	−1.74682	+	2.71810i	−0.165059	+	0.256837i
$113$	1.79932	−	1.55912i	0.169266	−	0.146670i	−0.566108	−	0.824331i	$-0.691552\pi$
$113$	1.79932	−	1.55912i	0.169266	−	0.146670i	0.735375	+	0.677661i	$0.237006\pi$
$114$	4.18705			0.392153
$115$	8.78488	−	6.15028i	0.819194	−	0.573516i
$116$	6.92436			0.642910
$117$	4.66656	−	4.04359i	0.431423	−	0.373830i
$118$	2.91650	−	4.53816i	0.268486	−	0.417772i
$119$	−0.599589	+	4.17023i	−0.0549642	+	0.382285i
$120$	5.76329	+	2.70256i	0.526114	+	0.246709i
$121$	−3.59630	−	25.0128i	−0.326937	−	2.27389i
$122$	3.95442	−	13.4675i	0.358016	−	1.21929i
$123$	1.51413	+	2.35603i	0.136524	+	0.212436i
$124$	−2.48639	−	5.44444i	−0.223285	−	0.488925i
$125$	2.82399	+	10.8178i	0.252585	+	0.967575i
$126$	10.7991	−	12.4628i	0.962059	−	1.11028i
$127$	−2.21348	−	1.91799i	−0.196414	−	0.170194i	0.551101	−	0.834439i	$-0.314208\pi$
$127$	−2.21348	−	1.91799i	−0.196414	−	0.170194i	−0.747515	+	0.664245i	$0.768753\pi$
$128$	−0.281733	−	0.959493i	−0.0249019	−	0.0848080i
$129$	−1.95994	−	4.29168i	−0.172563	−	0.377861i
$130$	−1.43954	−	2.29042i	−0.126256	−	0.200883i
$131$	−5.72427	−	1.68080i	−0.500132	−	0.146852i	0.0219301	−	0.999760i	$-0.493019\pi$
$131$	−5.72427	−	1.68080i	−0.500132	−	0.146852i	−0.522062	+	0.852908i	$0.674837\pi$
$132$	16.9698	−	2.43989i	1.47703	−	0.212365i
$133$	−4.32282	−	1.97417i	−0.374836	−	0.171182i
$134$	−0.785188	+	5.46110i	−0.0678299	+	0.471768i
$135$	−11.1926	−	7.35354i	−0.963304	−	0.632892i
$136$	−0.853912	−	0.985467i	−0.0732224	−	0.0845031i
$137$		−	16.2921i		−	1.39192i	−0.718078	−	0.695962i	$-0.754978\pi$
$137$		−	16.2921i		−	1.39192i	0.718078	−	0.695962i	$-0.245022\pi$
$138$	12.6850	+	5.04778i	1.07982	+	0.429695i
$139$	−4.16716			−0.353454			−0.176727	−	0.984260i	$-0.556551\pi$
$139$	−4.16716			−0.353454			−0.176727	+	0.984260i	$0.556551\pi$
$140$	−4.67593	−	5.50754i	−0.395188	−	0.465472i
$141$	19.1899	+	12.3326i	1.61608	+	1.03859i
$142$	−4.63704	−	0.666706i	−0.389132	−	0.0559487i
$143$	−6.62765	−	3.02675i	−0.554232	−	0.253109i
$144$	0.726355	+	5.05191i	0.0605296	+	0.420993i
$145$	−4.51173	+	14.8114i	−0.374678	+	1.23002i
$146$	−5.31712	+	3.41711i	−0.440048	+	0.282802i
$147$	−8.90642	+	4.06742i	−0.734589	+	0.335476i
$148$	3.18012	+	10.8305i	0.261404	+	0.890261i
$149$	−4.22521	+	4.87616i	−0.346143	+	0.399470i	−0.901950	−	0.431841i	$-0.857864\pi$
$149$	−4.22521	+	4.87616i	−0.346143	+	0.399470i	0.555807	+	0.831312i	$0.312409\pi$
$150$	−9.53607	+	10.5669i	−0.778617	+	0.862786i
$151$	15.0148	−	4.40875i	1.22189	−	0.358779i	0.393706	−	0.919236i	$-0.371193\pi$
$151$	15.0148	−	4.40875i	1.22189	−	0.358779i	0.828183	+	0.560457i	$0.189375\pi$
$152$	1.33791	−	0.611004i	0.108519	−	0.0495590i
$153$	3.59809	+	5.59874i	0.290889	+	0.452631i
$154$	−18.6705	−	5.48214i	−1.50451	−	0.441764i
$155$	13.2659	−	1.77102i	1.06554	−	0.142252i
$156$	1.43070	−	3.13279i	0.114547	−	0.250824i
$157$	−12.9754	−	1.86558i	−1.03555	−	0.148889i	−0.396482	−	0.918042i	$-0.629769\pi$
$157$	−12.9754	−	1.86558i	−1.03555	−	0.148889i	−0.639064	+	0.769153i	$0.720678\pi$
$158$	1.86750	−	2.90589i	0.148571	−	0.231180i
$159$	−16.4101	−	18.9383i	−1.30141	−	1.50190i
$160$	2.23595	+	0.0225454i	0.176768	+	0.00178237i
$161$	−10.7163	−	11.1923i	−0.844564	−	0.882080i
$162$		−	1.73783i		−	0.136537i
$163$	8.96237	−	7.76594i	0.701987	−	0.608275i	−0.228957	−	0.973437i	$-0.573532\pi$
$163$	8.96237	−	7.76594i	0.701987	−	0.608275i	0.930944	+	0.365161i	$0.118986\pi$
$164$	0.827626	+	0.531883i	0.0646267	+	0.0415331i
$165$	−5.83807	+	37.8887i	−0.454493	+	2.94963i
$166$	−0.366282	+	0.802045i	−0.0284290	+	0.0622508i
$167$	−14.1109	+	2.02884i	−1.09193	+	0.156997i	−0.664675	−	0.747132i	$-0.731430\pi$
$167$	−14.1109	+	2.02884i	−1.09193	+	0.156997i	−0.427260	+	0.904129i	$0.640521\pi$
$168$	2.59133	−	8.82525i	0.199925	−	0.680883i
$169$	9.70499	−	6.23702i	0.746538	−	0.479771i
$170$	2.66433	−	1.18444i	0.204345	−	0.0908425i
$171$	−7.20283	+	2.11494i	−0.550814	+	0.161734i
$172$	−1.25254	−	1.08534i	−0.0955056	−	0.0827561i
$173$	−10.2852	−	8.91216i	−0.781968	−	0.677579i	0.169430	−	0.985542i	$-0.445807\pi$
$173$	−10.2852	−	8.91216i	−0.781968	−	0.677579i	−0.951398	+	0.307963i	$0.900353\pi$
$174$	−18.9133	+	5.55345i	−1.43381	+	0.421006i
$175$	14.8275	−	6.41338i	1.12085	−	0.484806i
$176$	5.06642	−	3.25599i	0.381896	−	0.245429i
$177$	−4.32649	+	14.7347i	−0.325199	+	1.10753i
$178$	−4.72543	+	0.679414i	−0.354186	+	0.0509243i
$179$	8.45133	−	18.5058i	0.631682	−	1.38319i	−0.275028	−	0.961436i	$-0.588687\pi$
$179$	8.45133	−	18.5058i	0.631682	−	1.38319i	0.906710	−	0.421755i	$-0.138586\pi$
$180$	−11.2795	−	1.73799i	−0.840722	−	0.129542i
$181$	−0.353483	−	0.227170i	−0.0262742	−	0.0168854i	0.527438	−	0.849594i	$-0.323153\pi$
$181$	−0.353483	−	0.227170i	−0.0262742	−	0.0168854i	−0.553712	+	0.832708i	$0.686789\pi$
$182$	−2.95418	+	2.55981i	−0.218978	+	0.189746i
$183$			39.9569i			2.95370i
$184$	4.78992	−	0.238138i	0.353117	−	0.0175558i
$185$	−25.2388	−	0.254486i	−1.85560	−	0.0187102i
$186$	11.1579	+	12.8769i	0.818137	+	0.944180i
$187$	4.24568	−	6.60641i	0.310475	−	0.483108i
$188$	7.93150	+	1.14038i	0.578464	+	0.0831706i
$189$	−8.03868	+	17.6023i	−0.584728	+	1.28038i
$190$	0.435209	+	3.25995i	0.0315734	+	0.236502i
$191$	−18.5260	−	5.43973i	−1.34050	−	0.393605i	−0.468649	−	0.883384i	$-0.655259\pi$
$191$	−18.5260	−	5.43973i	−1.34050	−	0.393605i	−0.871846	+	0.489779i	$0.837077\pi$
$192$	1.53906	+	2.39482i	0.111072	+	0.172831i
$193$	−4.01230	+	1.83236i	−0.288812	+	0.131896i	−0.554553	−	0.832149i	$-0.687111\pi$
$193$	−4.01230	+	1.83236i	−0.288812	+	0.131896i	0.265741	+	0.964044i	$0.414383\pi$
$194$	2.18242	−	0.640816i	0.156688	−	0.0460079i
$195$	5.76893	+	5.10155i	0.413122	+	0.365329i
$196$	−2.25237	+	2.59938i	−0.160884	+	0.185670i
$197$	−1.31473	−	4.47755i	−0.0936705	−	0.319013i	0.899307	−	0.437319i	$-0.144072\pi$
$197$	−1.31473	−	4.47755i	−0.0936705	−	0.319013i	−0.992977	+	0.118306i	$0.962254\pi$
$198$	−27.9601	+	12.7690i	−1.98704	+	0.907450i
$199$	0.844524	−	0.542743i	0.0598667	−	0.0384740i	−0.510365	−	0.859958i	$-0.670490\pi$
$199$	0.844524	−	0.542743i	0.0598667	−	0.0384740i	0.570232	+	0.821484i	$0.306853\pi$
$200$	−1.50511	+	4.76808i	−0.106428	+	0.337155i
$201$	−2.23522	−	15.5463i	−0.157660	−	1.09655i
$202$	5.15538	+	2.35438i	0.362731	+	0.165654i
$203$	22.1450	+	3.18397i	1.55427	+	0.223471i
$204$	3.12275	+	2.00687i	0.218636	+	0.140509i
$205$	−1.67697	+	1.42376i	−0.117125	+	0.0994395i
$206$	14.2658			0.993949
$207$	−24.3712	−	2.27613i	−1.69392	−	0.158202i
$208$		−	1.20982i		−	0.0838857i
$209$	5.80076	+	6.69444i	0.401247	+	0.463064i
$210$	17.1890	+	11.2932i	1.18616	+	0.779307i
$211$	0.491631	−	3.41937i	0.0338452	−	0.235399i	−0.965876	−	0.259005i	$-0.916606\pi$
$211$	0.491631	−	3.41937i	0.0338452	−	0.235399i	0.999721	+	0.0236057i	$0.00751463\pi$
$212$	−8.00723	−	3.65678i	−0.549939	−	0.251149i
$213$	13.2004	−	1.89793i	0.904476	−	0.130044i
$214$	−11.1020	−	3.25985i	−0.758919	−	0.222839i
$215$	3.13769	−	1.97205i	0.213989	−	0.134493i
$216$	−2.48797	−	5.44790i	−0.169285	−	0.370683i
$217$	−5.44833	−	18.5553i	−0.369857	−	1.25962i
$218$	−8.67371	−	7.51581i	−0.587457	−	0.509035i
$219$	11.7827	−	13.5980i	0.796201	−	0.918865i
$220$	3.66352	+	12.9587i	0.246994	+	0.873678i
$221$	−0.655339	−	1.43499i	−0.0440829	−	0.0965281i
$222$	−17.3725	−	27.0321i	−1.16596	−	1.81427i
$223$	3.50398	−	11.9334i	0.234644	−	0.799123i	−0.755018	−	0.655704i	$-0.772372\pi$
$223$	3.50398	−	11.9334i	0.234644	−	0.799123i	0.989662	−	0.143419i	$-0.0458097\pi$
$224$	−0.459822	−	3.19813i	−0.0307231	−	0.213684i
$225$	11.0670	−	22.9947i	0.737802	−	1.53298i
$226$	−0.338830	+	2.35661i	−0.0225386	+	0.156760i
$227$	−11.5474	+	17.9680i	−0.766425	+	1.19258i	0.210206	+	0.977657i	$0.432587\pi$
$227$	−11.5474	+	17.9680i	−0.766425	+	1.19258i	−0.976631	+	0.214924i	$0.931050\pi$
$228$	−3.16436	+	2.74194i	−0.209565	+	0.181589i
$229$	19.2423			1.27157			0.635783	−	0.771868i	$-0.280677\pi$
$229$	19.2423			1.27157			0.635783	+	0.771868i	$0.280677\pi$
$230$	−2.61160	+	10.4009i	−0.172204	+	0.685818i
$231$	55.3936			3.64463
$232$	−5.23308	+	4.53449i	−0.343569	+	0.297704i
$233$	−10.3994	+	16.1818i	−0.681290	+	1.06011i	0.312616	+	0.949879i	$0.398795\pi$
$233$	−10.3994	+	16.1818i	−0.681290	+	1.06011i	−0.993906	+	0.110228i	$0.964842\pi$
$234$	−0.878757	+	6.11189i	−0.0574461	+	0.399547i
$235$	−7.60726	+	16.2227i	−0.496243	+	1.05825i
$236$	0.767721	+	5.33961i	0.0499744	+	0.347579i
$237$	−2.77036	+	9.43496i	−0.179954	+	0.612867i
$238$	−2.27778	−	3.54430i	−0.147647	−	0.229743i
$239$	1.59649	+	3.49582i	0.103268	+	0.226126i	0.954212	−	0.299131i	$-0.0966967\pi$
$239$	1.59649	+	3.49582i	0.103268	+	0.226126i	−0.850944	+	0.525256i	$0.823969\pi$
$240$	−6.12540	+	1.73169i	−0.395393	+	0.111780i
$241$	6.71071	−	7.74457i	0.432275	−	0.498872i	−0.497262	−	0.867600i	$-0.665661\pi$
$241$	6.71071	−	7.74457i	0.432275	−	0.498872i	0.929537	+	0.368728i	$0.120207\pi$
$242$	19.0978	+	16.5484i	1.22765	+	1.06377i
$243$	−3.66823	−	12.4928i	−0.235317	−	0.801416i
$244$	5.83080	+	12.7677i	0.373278	+	0.817366i
$245$	−4.09256	−	6.51158i	−0.261464	−	0.416009i
$246$	−2.68717	−	0.789024i	−0.171328	−	0.0503063i
$247$	1.76132	−	0.253240i	0.112070	−	0.0161133i
$248$	5.44444	+	2.48639i	0.345722	+	0.157886i
$249$	0.357215	−	2.48448i	0.0226376	−	0.157448i
$250$	−9.21839	−	6.32624i	−0.583022	−	0.400107i
$251$	−9.26652	−	10.6941i	−0.584897	−	0.675008i	0.383753	−	0.923436i	$-0.374631\pi$
$251$	−9.26652	−	10.6941i	−0.584897	−	0.675008i	−0.968650	+	0.248428i	$0.920086\pi$
$252$			16.4907i			1.03881i
$253$	9.50325	+	27.2745i	0.597464	+	1.71473i
$254$	2.92885			0.183772
$255$	−6.32746	+	5.37204i	−0.396241	+	0.336410i
$256$	0.841254	+	0.540641i	0.0525783	+	0.0337901i
$257$	11.4604	+	1.64775i	0.714877	+	0.102784i	0.490150	−	0.871638i	$-0.336942\pi$
$257$	11.4604	+	1.64775i	0.714877	+	0.102784i	0.224727	+	0.974422i	$0.427851\pi$
$258$	4.29168	+	1.95994i	0.267188	+	0.122021i
$259$	5.19034	+	36.0996i	0.322512	+	2.24312i
$260$	2.58784	+	0.788284i	0.160491	+	0.0488873i
$261$	29.7307	−	19.1068i	1.84029	−	1.18268i
$262$	5.42680	−	2.47834i	0.335269	−	0.153112i
$263$	−7.51791	−	25.6037i	−0.463574	−	1.57879i	−0.777207	−	0.629245i	$-0.783364\pi$
$263$	−7.51791	−	25.6037i	−0.463574	−	1.57879i	0.313632	−	0.949545i	$-0.398454\pi$
$264$	−11.2271	+	12.9568i	−0.690983	+	0.797436i
$265$	13.0393	−	14.7450i	0.800995	−	0.905781i
$266$	4.55977	−	1.33887i	0.279578	−	0.0820914i
$267$	12.3622	−	5.64563i	0.756555	−	0.345507i
$268$	−2.98286	−	4.64142i	−0.182207	−	0.283520i
$269$	−8.86150	−	2.60197i	−0.540295	−	0.158645i	0.000187792	−	1.00000i	$-0.499940\pi$
$269$	−8.86150	−	2.60197i	−0.540295	−	0.158645i	−0.540483	+	0.841355i	$0.681758\pi$
$270$	13.2743	−	1.77214i	0.807850	−	0.107849i
$271$	−9.73568	+	21.3182i	−0.591401	+	1.29499i	0.343191	+	0.939265i	$0.388492\pi$
$271$	−9.73568	+	21.3182i	−0.591401	+	1.29499i	−0.934592	+	0.355721i	$0.884235\pi$
$272$	1.29069	+	0.185573i	0.0782595	+	0.0112520i
$273$	6.01608	−	9.36120i	0.364110	−	0.566566i
$274$	10.6690	+	12.3127i	0.644540	+	0.743839i
$275$	−30.1062	−	0.607189i	−1.81547	−	0.0366149i
$276$	−12.8923	+	4.49204i	−0.776023	+	0.270389i
$277$			3.72287i			0.223686i	0.993726	+	0.111843i	$0.0356753\pi$
$277$			3.72287i			0.223686i	−0.993726	+	0.111843i	$0.964325\pi$
$278$	3.14933	−	2.72891i	0.188884	−	0.163669i
$279$	−25.6988	−	16.5156i	−1.53855	−	0.988765i
$280$	7.14050	+	1.10024i	0.426727	+	0.0657521i
$281$	−3.16180	+	6.92337i	−0.188617	+	0.413014i	−0.980190	−	0.198062i	$-0.936535\pi$
$281$	−3.16180	+	6.92337i	−0.188617	+	0.413014i	0.791573	+	0.611075i	$0.209263\pi$
$282$	−22.5788	+	3.24635i	−1.34455	+	0.193317i
$283$	−2.22536	+	7.57888i	−0.132284	+	0.450517i	−0.998818	−	0.0485998i	$-0.984524\pi$
$283$	−2.22536	+	7.57888i	−0.132284	+	0.450517i	0.866534	+	0.499117i	$0.166342\pi$
$284$	3.94104	−	2.53275i	0.233858	−	0.150291i
$285$	−3.80327	−	8.55524i	−0.225286	−	0.506769i
$286$	6.99094	−	2.05272i	0.413383	−	0.121380i
$287$	2.40228	+	2.08159i	0.141802	+	0.122872i
$288$	−3.85724	−	3.34232i	−0.227290	−	0.196948i
$289$	−14.6799	+	4.31042i	−0.863526	+	0.253554i
$290$	−6.28968	−	14.1483i	−0.369343	−	0.830815i
$291$	−5.44715	+	3.50067i	−0.319317	+	0.205213i
$292$	1.78068	−	6.06445i	0.104207	−	0.354895i
$293$	−7.08017	+	1.01797i	−0.413628	+	0.0594707i	−0.345988	−	0.938239i	$-0.612456\pi$
$293$	−7.08017	+	1.01797i	−0.413628	+	0.0594707i	−0.0676403	+	0.997710i	$0.521547\pi$
$294$	4.06742	−	8.90642i	0.237217	−	0.519433i
$295$	−11.9218	−	1.83697i	−0.694116	−	0.106953i
$296$	−9.49584	−	6.10261i	−0.551934	−	0.354707i
$297$	27.2594	−	23.6204i	1.58175	−	1.37059i
$298$		−	6.45208i		−	0.373759i
$299$	5.64135	+	1.35618i	0.326248	+	0.0784302i
$300$	0.287009	−	14.2307i	0.0165705	−	0.821613i
$301$	−3.50674	−	4.04699i	−0.202125	−	0.233265i
$302$	−8.46033	+	13.1645i	−0.486837	+	0.757534i
$303$	−15.9697	−	2.29610i	−0.917438	−	0.131908i
$304$	−0.611004	+	1.33791i	−0.0350435	+	0.0767346i
$305$	−31.1096	+	4.15318i	−1.78133	+	0.237811i
$306$	−6.38565	−	1.87500i	−0.365043	−	0.107186i
$307$	−13.4748	−	20.9672i	−0.769046	−	1.19666i	−0.975885	−	0.218285i	$-0.929954\pi$
$307$	−13.4748	−	20.9672i	−0.769046	−	1.19666i	0.206839	−	0.978375i	$-0.433682\pi$
$308$	17.7002	−	8.08343i	1.00856	−	0.460596i
$309$	−38.9660	+	11.4414i	−2.21670	+	0.650881i
$310$	−8.86592	+	10.0258i	−0.503551	+	0.569425i
$311$	12.0231	−	13.8754i	0.681768	−	0.786802i	−0.304402	−	0.952544i	$-0.598456\pi$
$311$	12.0231	−	13.8754i	0.681768	−	0.786802i	0.986169	+	0.165742i	$0.0530019\pi$
$312$	0.970293	+	3.30451i	0.0549320	+	0.187081i
$313$	21.5930	−	9.86117i	1.22051	−	0.557387i	0.302195	−	0.953246i	$-0.402281\pi$
$313$	21.5930	−	9.86117i	1.22051	−	0.557387i	0.918311	+	0.395860i	$0.129553\pi$
$314$	11.0278	−	7.08715i	0.622336	−	0.399951i
$315$	−35.2740	−	10.7449i	−1.98747	−	0.605405i
$316$	0.491589	+	3.41908i	0.0276541	+	0.192338i
$317$	−16.4673	−	7.52034i	−0.924893	−	0.422385i	−0.104721	−	0.994502i	$-0.533395\pi$
$317$	−16.4673	−	7.52034i	−0.924893	−	0.422385i	−0.820172	+	0.572117i	$0.806122\pi$
$318$	24.8039	+	3.56626i	1.39093	+	0.199986i
$319$	−35.0817	−	22.5456i	−1.96420	−	1.26231i
$320$	−1.70459	+	1.44720i	−0.0952892	+	0.0809009i
$321$	32.9387			1.83846
$322$	15.4283	+	1.44091i	0.859784	+	0.0802987i
$323$			1.91790i			0.106715i
$324$	1.13804	+	1.31337i	0.0632243	+	0.0729648i
$325$	−3.37233	+	5.02183i	−0.187063	+	0.278561i
$326$	−1.68770	+	11.7382i	−0.0934731	+	0.650120i
$327$	29.7193	+	13.5723i	1.64348	+	0.750553i
$328$	−0.973787	+	0.140009i	−0.0537684	+	0.00773073i
$329$	24.8416	+	7.29415i	1.36956	+	0.402140i
$330$	−20.3997	−	32.4575i	−1.12297	−	1.78673i
$331$	7.32564	+	16.0409i	0.402654	+	0.881688i	0.996994	+	0.0774750i	$0.0246858\pi$
$331$	7.32564	+	16.0409i	0.402654	+	0.881688i	−0.594341	+	0.804213i	$0.702587\pi$
$332$	−0.248411	−	0.846009i	−0.0136333	−	0.0464308i
$333$	43.5395	+	37.7272i	2.38595	+	2.06744i
$334$	9.33570	−	10.7740i	0.510827	−	0.589526i
$335$	11.8717	−	3.35620i	0.648619	−	0.183369i
$336$	3.82092	+	8.36664i	0.208448	+	0.456438i
$337$	11.9350	+	18.5712i	0.650139	+	1.01164i	0.997272	+	0.0738196i	$0.0235189\pi$
$337$	11.9350	+	18.5712i	0.650139	+	1.01164i	−0.347133	+	0.937816i	$0.612845\pi$
$338$	−3.25016	+	11.0690i	−0.176786	+	0.602076i
$339$	−0.964556	−	6.70864i	−0.0523875	−	0.364363i
$340$	−1.23792	+	2.63991i	−0.0671358	+	0.143169i
$341$	−5.12993	+	35.6795i	−0.277801	+	1.93215i
$342$	4.05854	−	6.31521i	0.219461	−	0.341488i
$343$	8.69425	−	7.53361i	0.469445	−	0.406777i
$344$	1.65735			0.0893585
$345$	−1.20837	−	30.5038i	−0.0650563	−	1.64227i
$346$	13.6092			0.731638
$347$	17.2260	−	14.9264i	0.924741	−	0.801293i	−0.0556307	−	0.998451i	$-0.517717\pi$
$347$	17.2260	−	14.9264i	0.924741	−	0.801293i	0.980372	+	0.197159i	$0.0631715\pi$
$348$	10.6570	−	16.5826i	0.571274	−	0.888920i
$349$	3.43454	−	23.8877i	0.183847	−	1.27868i	−0.663715	−	0.747985i	$-0.731021\pi$
$349$	3.43454	−	23.8877i	0.183847	−	1.27868i	0.847562	−	0.530696i	$-0.178070\pi$
$350$	−7.00602	+	14.5569i	−0.374487	+	0.778097i
$351$	−1.03118	−	7.17200i	−0.0550402	−	0.382813i
$352$	−1.69672	+	5.77851i	−0.0904357	+	0.307996i
$353$	7.70275	+	11.9857i	0.409976	+	0.637935i	0.983427	−	0.181305i	$-0.0580321\pi$
$353$	7.70275	+	11.9857i	0.409976	+	0.637935i	−0.573451	+	0.819240i	$0.694396\pi$
$354$	−6.37942	−	13.9690i	−0.339062	−	0.742443i
$355$	2.84976	+	10.0803i	0.151250	+	0.535006i
$356$	3.12632	−	3.60797i	0.165695	−	0.191222i
$357$	9.06416	+	7.85414i	0.479726	+	0.415685i
$358$	5.73165	+	19.5202i	0.302927	+	1.03168i
$359$	6.88090	+	15.0671i	0.363160	+	0.795209i	0.999713	+	0.0239760i	$0.00763254\pi$
$359$	6.88090	+	15.0671i	0.363160	+	0.795209i	−0.636553	+	0.771233i	$0.719640\pi$
$360$	9.66260	−	6.07299i	0.509264	−	0.320075i
$361$	16.1547	+	4.74344i	0.850245	+	0.249655i
$362$	0.415909	−	0.0597987i	0.0218597	−	0.00314295i
$363$	−65.4362	−	29.8837i	−3.43451	−	1.56849i
$364$	0.556300	−	3.86915i	0.0291580	−	0.202799i
$365$	11.8118	+	7.76037i	0.618258	+	0.406196i
$366$	−26.1662	−	30.1974i	−1.36773	−	1.57844i
$367$			11.9874i			0.625740i	0.949796	+	0.312870i	$0.101290\pi$
$367$			11.9874i			0.625740i	−0.949796	+	0.312870i	$0.898710\pi$
$368$	−3.46403	+	3.31670i	−0.180575	+	0.172895i
$369$	5.02118			0.261392
$370$	19.2409	−	16.3356i	1.00029	−	0.849247i
$371$	−23.9267	−	15.3767i	−1.24221	−	0.798321i
$372$	−16.8652	−	2.42484i	−0.874418	−	0.125722i
$373$	−2.41286	−	1.10191i	−0.124933	−	0.0570550i	0.351968	−	0.936012i	$-0.385513\pi$
$373$	−2.41286	−	1.10191i	−0.124933	−	0.0570550i	−0.476901	+	0.878957i	$0.658240\pi$
$374$	1.11761	+	7.77312i	0.0577900	+	0.401938i
$375$	30.2530	+	9.88630i	1.56226	+	0.510526i
$376$	−6.74102	+	4.33219i	−0.347642	+	0.223416i
$377$	−7.62017	+	3.48002i	−0.392459	+	0.179230i
$378$	−5.45180	−	18.5671i	−0.280410	−	0.954990i
$379$	2.09290	−	2.41534i	0.107505	−	0.124068i	−0.699447	−	0.714685i	$-0.746570\pi$
$379$	2.09290	−	2.41534i	0.107505	−	0.124068i	0.806952	+	0.590617i	$0.201116\pi$
$380$	−2.46372	−	2.17871i	−0.126386	−	0.111765i
$381$	−7.99991	+	2.34899i	−0.409848	+	0.120342i
$382$	17.5633	−	8.02089i	0.898616	−	0.410384i
$383$	−11.2748	−	17.5439i	−0.576115	−	0.896452i	0.423842	−	0.905736i	$-0.360681\pi$
$383$	−11.2748	−	17.5439i	−0.576115	−	0.896452i	−0.999957	+	0.00928400i	$0.997045\pi$
$384$	−2.73142	−	0.802016i	−0.139387	−	0.0409277i
$385$	5.75770	+	43.1283i	0.293439	+	2.19802i
$386$	1.83236	−	4.01230i	0.0932645	−	0.204221i
$387$	−8.37281	−	1.20383i	−0.425614	−	0.0611940i
$388$	−1.22972	+	1.91348i	−0.0624294	+	0.0971420i
$389$	18.4071	+	21.2429i	0.933278	+	1.07706i	0.996868	+	0.0790840i	$0.0251995\pi$
$389$	18.4071	+	21.2429i	0.933278	+	1.07706i	−0.0635901	+	0.997976i	$0.520255\pi$
$390$	−7.70067	−	0.0776467i	−0.389939	−	0.00393179i
$391$	−2.31216	+	5.81043i	−0.116931	+	0.293846i
$392$		−	3.43947i		−	0.173719i
$393$	−12.8352	+	11.1218i	−0.647450	+	0.561018i
$394$	3.92578	+	2.52295i	0.197778	+	0.127104i
$395$	−7.63382	−	1.17626i	−0.384099	−	0.0591839i
$396$	12.7690	−	27.9601i	0.641664	−	1.40505i
$397$	20.2288	−	2.90846i	1.01525	−	0.145972i	0.385453	−	0.922728i	$-0.374045\pi$
$397$	20.2288	−	2.90846i	1.01525	−	0.145972i	0.629802	+	0.776756i	$0.283136\pi$
$398$	−0.282828	+	0.963223i	−0.0141769	+	0.0482820i
$399$	−11.3808	+	7.31402i	−0.569755	+	0.366159i
$400$	−1.98494	−	4.58912i	−0.0992471	−	0.229456i
$401$	36.9228	−	10.8415i	1.84383	−	0.541399i	0.843846	−	0.536585i	$-0.180286\pi$
$401$	36.9228	−	10.8415i	1.84383	−	0.541399i	0.999988	−	0.00481335i	$-0.00153214\pi$
$402$	11.8699	+	10.2853i	0.592017	+	0.512986i
$403$	5.47249	+	4.74194i	0.272604	+	0.236213i
$404$	−5.43797	+	1.59673i	−0.270549	+	0.0794404i
$405$	−3.55084	+	1.57854i	−0.176443	+	0.0784385i
$406$	−18.8211	+	12.0956i	−0.934077	+	0.600295i
$407$	19.1521	−	65.2262i	0.949337	−	3.23314i
$408$	−3.67424	+	0.528276i	−0.181902	+	0.0261535i
$409$	6.20655	−	13.5905i	0.306894	−	0.672005i	−0.691853	−	0.722038i	$-0.743206\pi$
$409$	6.20655	−	13.5905i	0.306894	−	0.672005i	0.998748	+	0.0500335i	$0.0159328\pi$
$410$	0.335009	−	2.17419i	0.0165449	−	0.107375i
$411$	−39.0166	−	25.0744i	−1.92455	−	1.23683i
$412$	−10.7814	+	9.34214i	−0.531162	+	0.460254i
$413$			17.4298i			0.857664i
$414$	19.9091	−	14.2396i	0.978478	−	0.699837i
$415$	1.97150	+	0.0198788i	0.0967770	+	0.000975812i
$416$	0.792261	+	0.914319i	0.0388438	+	0.0448282i
$417$	−6.41349	+	9.97959i	−0.314070	+	0.488703i
$418$	−8.76785	−	1.26063i	−0.428850	−	0.0616593i
$419$	−5.50772	+	12.0602i	−0.269070	+	0.589180i	−0.995143	−	0.0984367i	$-0.968616\pi$
$419$	−5.50772	+	12.0602i	−0.269070	+	0.589180i	0.726074	+	0.687617i	$0.241343\pi$
$420$	−20.3861	+	2.72158i	−0.994740	+	0.132799i
$421$	−6.52614	−	1.91625i	−0.318064	−	0.0933921i	0.118804	−	0.992918i	$-0.462094\pi$
$421$	−6.52614	−	1.91625i	−0.318064	−	0.0933921i	−0.436868	+	0.899526i	$0.643912\pi$
$422$	1.86766	+	2.90613i	0.0909162	+	0.141468i
$423$	37.2018	−	16.9895i	1.80881	−	0.826056i
$424$	8.44614	−	2.48001i	0.410181	−	0.120440i
$425$	−4.84024	−	4.36805i	−0.234786	−	0.211882i
$426$	−8.73331	+	10.0788i	−0.423130	+	0.488319i
$427$	12.7768	+	43.5138i	0.618312	+	2.10578i
$428$	10.5251	−	4.80666i	0.508750	−	0.232338i
$429$	−17.4488	+	11.2137i	−0.842438	+	0.541402i
$430$	−1.07989	+	3.54513i	−0.0520768	+	0.170961i
$431$	−0.917265	−	6.37972i	−0.0441831	−	0.307300i	−0.999915	−	0.0130603i	$-0.995843\pi$
$431$	−0.917265	−	6.37972i	−0.0441831	−	0.307300i	0.955732	−	0.294240i	$-0.0950664\pi$
$432$	5.44790	+	2.48797i	0.262112	+	0.119703i
$433$	4.40949	+	0.633989i	0.211907	+	0.0304676i	0.247451	−	0.968901i	$-0.420407\pi$
$433$	4.40949	+	0.633989i	0.211907	+	0.0304676i	−0.0355438	+	0.999368i	$0.511316\pi$
$434$	16.2687	+	10.4553i	0.780924	+	0.501869i
$435$	28.5269	+	33.6004i	1.36776	+	1.61102i
$436$	11.4770			0.549647
$437$	−5.55374	−	4.34888i	−0.265671	−	0.208035i
$438$			17.9927i			0.859723i
$439$	−12.1983	−	14.0776i	−0.582192	−	0.671886i	0.385882	−	0.922548i	$-0.373897\pi$
$439$	−12.1983	−	14.0776i	−0.582192	−	0.671886i	−0.968075	+	0.250662i	$0.919352\pi$
$440$	−11.2549	−	7.39447i	−0.536555	−	0.352517i
$441$	−2.49828	+	17.3759i	−0.118966	+	0.827424i
$442$	1.43499	+	0.655339i	0.0682556	+	0.0311713i
$443$	−23.5029	+	3.37920i	−1.11666	+	0.160551i	−0.675841	−	0.737047i	$-0.736219\pi$
$443$	−23.5029	+	3.37920i	−1.11666	+	0.160551i	−0.440815	+	0.897598i	$0.645310\pi$
$444$	30.8315	+	9.05294i	1.46320	+	0.429633i
$445$	5.68052	+	9.03815i	0.269283	+	0.428449i
$446$	5.16662	+	11.3133i	0.244646	+	0.535701i
$447$	5.17467	+	17.6233i	0.244754	+	0.833554i
$448$	2.44184	+	2.11587i	0.115366	+	0.0999653i
$449$	−20.0734	+	23.1659i	−0.947321	+	1.09327i	0.0482104	+	0.998837i	$0.484648\pi$
$449$	−20.0734	+	23.1659i	−0.947321	+	1.09327i	−0.995532	+	0.0944296i	$0.969897\pi$
$450$	6.69443	+	24.6256i	0.315578	+	1.16086i
$451$	−2.46129	−	5.38948i	−0.115898	−	0.253781i
$452$	−1.28718	−	2.00290i	−0.0605440	−	0.0942083i
$453$	12.5505	−	42.7431i	0.589675	−	2.00825i
$454$	−3.03965	−	21.1413i	−0.142658	−	0.992208i
$455$	7.91376	+	3.71098i	0.371003	+	0.173973i
$456$	0.595879	−	4.14443i	0.0279046	−	0.194081i
$457$	0.270232	−	0.420489i	0.0126409	−	0.0196697i	−0.834876	−	0.550439i	$-0.814460\pi$
$457$	0.270232	−	0.420489i	0.0126409	−	0.0196697i	0.847517	+	0.530769i	$0.178097\pi$
$458$	−14.5424	+	12.6010i	−0.679520	+	0.588807i
$459$	7.80959			0.364520
$460$	−4.83746	−	9.57074i	−0.225548	−	0.446238i
$461$	−1.09412			−0.0509585			−0.0254792	−	0.999675i	$-0.508111\pi$
$461$	−1.09412			−0.0509585			−0.0254792	+	0.999675i	$0.508111\pi$
$462$	−41.8637	+	36.2751i	−1.94767	+	1.68767i
$463$	−1.83697	+	2.85839i	−0.0853714	+	0.132840i	−0.881313	−	0.472533i	$-0.843340\pi$
$463$	−1.83697	+	2.85839i	−0.0853714	+	0.132840i	0.795942	+	0.605373i	$0.206976\pi$
$464$	0.985439	−	6.85388i	0.0457478	−	0.318183i
$465$	16.1757	−	34.4951i	0.750130	−	1.59967i
$466$	−2.73748	−	19.0396i	−0.126811	−	0.881993i
$467$	−5.89290	+	20.0694i	−0.272691	+	0.928700i	0.703301	+	0.710892i	$0.251709\pi$
$467$	−5.89290	+	20.0694i	−0.272691	+	0.928700i	−0.975992	+	0.217807i	$0.930110\pi$
$468$	−3.33832	−	5.19452i	−0.154314	−	0.240117i
$469$	−7.40534	−	16.2154i	−0.341947	−	0.748759i
$470$	−4.87442	−	17.2420i	−0.224840	−	0.795313i
$471$	−24.4376	+	28.2024i	−1.12602	+	1.29950i
$472$	−4.07691	−	3.53266i	−0.187655	−	0.162604i
$473$	2.81207	+	9.57703i	0.129299	+	0.440352i
$474$	−4.08489	−	8.94467i	−0.187625	−	0.410842i
$475$	6.26561	−	3.85039i	0.287486	−	0.176668i
$476$	4.04246	+	1.18697i	0.185286	+	0.0544048i
$477$	−44.4705	+	6.39390i	−2.03617	+	0.292756i
$478$	−3.49582	−	1.59649i	−0.159895	−	0.0730216i
$479$	−1.25506	+	8.72912i	−0.0573450	+	0.398843i	0.940852	+	0.338818i	$0.110027\pi$
$479$	−1.25506	+	8.72912i	−0.0573450	+	0.398843i	−0.998197	+	0.0600252i	$0.980882\pi$
$480$	3.49525	−	5.32001i	0.159536	−	0.242824i
$481$	−8.94283	−	10.3206i	−0.407758	−	0.470578i
$482$			10.2475i			0.466763i
$483$	−43.2967	+	8.43800i	−1.97007	+	0.383942i
$484$	−25.2700			−1.14864
$485$	−3.29173	−	3.87717i	−0.149470	−	0.176053i
$486$	10.9533	+	7.03928i	0.496853	+	0.319308i
$487$	24.5579	+	3.53090i	1.11283	+	0.160000i	0.674114	−	0.738628i	$-0.264526\pi$
$487$	24.5579	+	3.53090i	1.11283	+	0.160000i	0.438712	+	0.898628i	$0.355435\pi$
$488$	−12.7677	−	5.83080i	−0.577965	−	0.263948i
$489$	−4.80442	−	33.4155i	−0.217264	−	1.51110i
$490$	7.35713	+	2.24107i	0.332361	+	0.101241i
$491$	15.2269	−	9.78574i	0.687181	−	0.441624i	−0.149902	−	0.988701i	$-0.547896\pi$
$491$	15.2269	−	9.78574i	0.687181	−	0.441624i	0.837083	+	0.547077i	$0.184259\pi$
$492$	2.54753	−	1.16342i	0.114851	−	0.0524509i
$493$	−2.54379	−	8.66335i	−0.114566	−	0.390177i
$494$	−1.16528	+	1.34481i	−0.0524285	+	0.0605057i
$495$	51.4876	+	45.5312i	2.31420	+	2.04648i
$496$	−5.74287	+	1.68626i	−0.257863	+	0.0757153i
$497$	13.7686	−	6.28790i	0.617605	−	0.282051i
$498$	1.35703	+	2.11157i	0.0608098	+	0.0946218i
$499$	23.4090	+	6.87351i	1.04793	+	0.307701i	0.759982	−	0.649945i	$-0.225208\pi$
$499$	23.4090	+	6.87351i	1.04793	+	0.307701i	0.287951	+	0.957645i	$0.407026\pi$
$500$	11.1096	−	1.25571i	0.496836	−	0.0561569i
$501$	−16.8588	+	36.9156i	−0.753195	+	1.64927i
$502$	14.0063	+	2.01381i	0.625133	+	0.0898806i
$503$	−6.29222	+	9.79089i	−0.280556	+	0.436554i	−0.952721	−	0.303848i	$-0.901729\pi$
$503$	−6.29222	+	9.79089i	−0.280556	+	0.436554i	0.672164	+	0.740402i	$0.265365\pi$
$504$	−10.7991	−	12.4628i	−0.481030	−	0.555138i
$505$	0.127777	−	12.6724i	0.00568600	−	0.563913i
$506$	−25.0431	−	14.3894i	−1.11330	−	0.639687i
$507$		−	32.8408i		−	1.45851i
$508$	−2.21348	+	1.91799i	−0.0982072	+	0.0850970i
$509$	30.3961	+	19.5344i	1.34728	+	0.865846i	0.997478	−	0.0709766i	$-0.0226116\pi$
$509$	30.3961	+	19.5344i	1.34728	+	0.865846i	0.349805	+	0.936823i	$0.386248\pi$
$510$	1.26404	−	8.20352i	0.0559725	−	0.363258i
$511$	8.48342	−	18.5761i	0.375285	−	0.821758i
$512$	−0.989821	+	0.142315i	−0.0437443	+	0.00628949i
$513$	−2.48178	+	8.45216i	−0.109573	+	0.373172i
$514$	−9.74021	+	6.25965i	−0.429622	+	0.276101i
$515$	−12.9583	−	29.1489i	−0.571009	−	1.28445i
$516$	−4.52692	+	1.32922i	−0.199287	+	0.0585158i
$517$	−36.4712	−	31.6025i	−1.60400	−	1.38988i
$518$	−27.5628	−	23.8833i	−1.21104	−	1.04937i
$519$	−37.1725	+	10.9148i	−1.63169	+	0.479108i
$520$	−2.47197	+	1.09893i	−0.108403	+	0.0481911i
$521$	−27.9755	+	17.9787i	−1.22563	+	0.787663i	−0.983204	−	0.182507i	$-0.941579\pi$
$521$	−27.9755	+	17.9787i	−1.22563	+	0.787663i	−0.242423	+	0.970171i	$0.577942\pi$
$522$	−9.95670	+	33.9094i	−0.435793	+	1.48417i
$523$	−0.0622929	+	0.00895636i	−0.00272388	+	0.000391634i	−0.143677	−	0.989625i	$-0.545893\pi$
$523$	−0.0622929	+	0.00895636i	−0.00272388	+	0.000391634i	0.140953	+	0.990016i	$0.454983\pi$
$524$	−2.47834	+	5.42680i	−0.108267	+	0.237071i
$525$	7.46150	−	45.3798i	0.325647	−	1.98054i
$526$	22.4485	+	14.4268i	0.978801	+	0.629037i
$527$	−5.89834	+	5.11094i	−0.256936	+	0.222636i
$528$		−	17.1443i		−	0.746110i
$529$	−11.5826	−	19.8707i	−0.503591	−	0.863942i
$530$	−0.198460	+	19.6825i	−0.00862056	+	0.854951i
$531$	18.0302	+	20.8080i	0.782445	+	0.902990i
$532$	−2.56927	+	3.99787i	−0.111392	+	0.173329i
$533$	−1.17810	−	0.169386i	−0.0510293	−	0.00733691i
$534$	−5.64563	+	12.3622i	−0.244310	+	0.534965i
$535$	3.42371	+	25.6454i	0.148020	+	1.10875i
$536$	5.29377	+	1.55439i	0.228656	+	0.0671395i
$537$	−31.3111	−	48.7210i	−1.35117	−	2.10246i
$538$	8.40100	−	3.83661i	0.362193	−	0.165408i
$539$	19.8750	−	5.83583i	0.856077	−	0.251367i
$540$	−8.87156	+	10.0321i	−0.381771	+	0.431714i
$541$	−26.9489	+	31.1007i	−1.15863	+	1.33713i	−0.226919	+	0.973914i	$0.572865\pi$
$541$	−26.9489	+	31.1007i	−1.15863	+	1.33713i	−0.931707	+	0.363211i	$0.881680\pi$
$542$	−6.60270	−	22.4867i	−0.283610	−	0.965887i
$543$	−1.08806	+	0.496901i	−0.0466932	+	0.0213241i
$544$	−1.09696	+	0.704974i	−0.0470318	+	0.0302255i
$545$	−7.47808	+	24.5496i	−0.320326	+	1.05159i
$546$	1.58363	+	11.0144i	0.0677733	+	0.471374i
$547$	−25.0369	−	11.4340i	−1.07050	−	0.488881i	−0.199366	−	0.979925i	$-0.563888\pi$
$547$	−25.0369	−	11.4340i	−1.07050	−	0.488881i	−0.871135	+	0.491044i	$0.836616\pi$
$548$	−16.1262	−	2.31860i	−0.688879	−	0.0990458i
$549$	60.2659	+	38.7305i	2.57209	+	1.65298i
$550$	23.1504	−	19.2565i	0.987135	−	0.821099i
$551$	10.1845			0.433876
$552$	6.80166	−	11.8375i	0.289498	−	0.503837i
$553$			11.1607i			0.474601i
$554$	−2.43796	−	2.81356i	−0.103579	−	0.119537i
$555$	−39.4535	+	60.0508i	−1.67471	+	2.54902i
$556$	−0.593048	+	4.12474i	−0.0251508	+	0.174928i
$557$	20.0039	+	9.13549i	0.847594	+	0.387083i	0.791372	−	0.611335i	$-0.209367\pi$
$557$	20.0039	+	9.13549i	0.847594	+	0.387083i	0.0562221	+	0.998418i	$0.482094\pi$
$558$	30.2373	−	4.34747i	1.28005	−	0.184043i
$559$	1.92387	+	0.564900i	0.0813712	+	0.0238927i
$560$	−6.11694	+	3.84453i	−0.258488	+	0.162461i
$561$	−9.28681	−	20.3353i	−0.392090	−	0.858556i
$562$	−2.14432	−	7.30287i	−0.0904525	−	0.308053i
$563$	23.2265	+	20.1259i	0.978880	+	0.848204i	0.988419	−	0.151750i	$-0.0484909\pi$
$563$	23.2265	+	20.1259i	0.978880	+	0.848204i	−0.00953885	+	0.999955i	$0.503036\pi$
$564$	14.9380	−	17.2394i	0.629005	−	0.725910i
$565$	5.12295	−	1.44829i	0.215524	−	0.0609300i
$566$	−3.28129	−	7.18503i	−0.137923	−	0.302009i
$567$	3.03568	+	4.72361i	0.127486	+	0.198373i
$568$	−1.31984	+	4.49496i	−0.0553792	+	0.188604i
$569$	1.10008	+	7.65126i	0.0461180	+	0.320757i	0.999801	+	0.0199444i	$0.00634892\pi$
$569$	1.10008	+	7.65126i	0.0461180	+	0.320757i	−0.953683	+	0.300813i	$0.902742\pi$
$570$	8.47681	+	3.97501i	0.355054	+	0.166495i
$571$	1.25050	−	8.69742i	0.0523318	−	0.363976i	−0.946782	−	0.321877i	$-0.895686\pi$
$571$	1.25050	−	8.69742i	0.0523318	−	0.363976i	0.999113	−	0.0420991i	$-0.0134045\pi$
$572$	−3.93915	+	6.12944i	−0.164704	+	0.256285i
$573$	−41.5398	+	35.9944i	−1.73535	+	1.50369i
$574$	−3.17868			−0.132675
$575$	23.6241	−	4.11143i	0.985191	−	0.171458i
$576$	5.10386			0.212661
$577$	11.0424	−	9.56829i	0.459701	−	0.398333i	−0.393989	−	0.919115i	$-0.628905\pi$
$577$	11.0424	−	9.56829i	0.459701	−	0.398333i	0.853690	+	0.520782i	$0.174360\pi$
$578$	8.27164	−	12.8709i	0.344055	−	0.535360i
$579$	−1.78700	+	12.4288i	−0.0742651	+	0.516525i
$580$	14.0186	+	6.57369i	0.582089	+	0.272957i
$581$	−0.405436	−	2.81987i	−0.0168203	−	0.116988i
$582$	1.82423	−	6.21275i	0.0756167	−	0.257527i
$583$	28.6615	+	44.5982i	1.18704	+	1.84707i
$584$	2.62562	+	5.74931i	0.108649	+	0.237908i
$585$	13.2864	−	3.75615i	0.549325	−	0.155298i
$586$	4.68420	−	5.40586i	0.193503	−	0.223314i
$587$	2.80396	+	2.42965i	0.115732	+	0.100282i	0.710804	−	0.703390i	$-0.248331\pi$
$587$	2.80396	+	2.42965i	0.115732	+	0.100282i	−0.595072	+	0.803672i	$0.702877\pi$
$588$	2.75851	+	9.39462i	0.113759	+	0.387428i
$589$	−3.65706	−	8.00784i	−0.150686	−	0.329957i
$590$	10.2129	−	6.41885i	0.420457	−	0.264260i
$591$	−12.7464	−	3.74268i	−0.524316	−	0.153953i
$592$	11.1728	−	1.60641i	0.459201	−	0.0660231i
$593$	−1.78638	−	0.815810i	−0.0733577	−	0.0335013i	0.378398	−	0.925643i	$-0.376475\pi$
$593$	−1.78638	−	0.815810i	−0.0733577	−	0.0335013i	−0.451756	+	0.892142i	$0.649202\pi$
$594$	−5.13320	+	35.7022i	−0.210618	+	1.46488i
$595$	−5.17293	+	7.87354i	−0.212069	+	0.322784i
$596$	4.22521	+	4.87616i	0.173071	+	0.199735i
$597$		−	2.85780i		−	0.116962i
$598$	−5.15156	+	2.66937i	−0.210663	+	0.109158i
$599$	−40.9229			−1.67207			−0.836033	−	0.548680i	$-0.815131\pi$
$599$	−40.9229			−1.67207			−0.836033	+	0.548680i	$0.815131\pi$
$600$	9.10225	+	10.9428i	0.371598	+	0.446739i
$601$	22.0185	+	14.1504i	0.898154	+	0.577209i	0.906242	−	0.422759i	$-0.138938\pi$
$601$	22.0185	+	14.1504i	0.898154	+	0.577209i	−0.00808814	+	0.999967i	$0.502575\pi$
$602$	5.30043	+	0.762087i	0.216029	+	0.0310603i
$603$	−25.6146	−	11.6978i	−1.04311	−	0.476372i
$604$	−2.22704	−	15.4894i	−0.0906171	−	0.630256i
$605$	16.4653	−	54.0534i	0.669409	−	2.19758i
$606$	13.5728	−	8.72268i	0.551356	−	0.354335i
$607$	17.8719	−	8.16182i	0.725398	−	0.331278i	−0.0182647	−	0.999833i	$-0.505814\pi$
$607$	17.8719	−	8.16182i	0.725398	−	0.331278i	0.743663	+	0.668555i	$0.233087\pi$
$608$	−0.414380	−	1.41125i	−0.0168053	−	0.0572337i
$609$	41.7075	−	48.1330i	1.69007	−	1.95045i
$610$	20.7913	−	23.5112i	0.841816	−	0.951942i
$611$	−9.30165	+	2.73121i	−0.376305	+	0.110493i
$612$	6.05382	−	2.76468i	0.244711	−	0.111756i
$613$	12.1075	+	18.8396i	0.489016	+	0.760923i	0.994812	−	0.101730i	$-0.0324376\pi$
$613$	12.1075	+	18.8396i	0.489016	+	0.760923i	−0.505796	+	0.862653i	$0.668801\pi$
$614$	23.9141	+	7.02182i	0.965096	+	0.283378i
$615$	0.828684	+	6.20729i	0.0334157	+	0.250302i
$616$	−8.08343	+	17.7002i	−0.325690	+	0.713163i
$617$	−28.8571	−	4.14903i	−1.16174	−	0.167033i	−0.465639	−	0.884975i	$-0.654176\pi$
$617$	−28.8571	−	4.14903i	−1.16174	−	0.167033i	−0.696104	+	0.717941i	$0.745085\pi$
$618$	21.9560	−	34.1641i	0.883198	−	1.37428i
$619$	−6.71262	−	7.74677i	−0.269803	−	0.311369i	0.604639	−	0.796500i	$-0.293317\pi$
$619$	−6.71262	−	7.74677i	−0.269803	−	0.311369i	−0.874442	+	0.485131i	$0.838772\pi$
$620$	0.134941	−	13.3829i	0.00541937	−	0.537470i
$621$	−17.7084	+	22.6145i	−0.710613	+	0.907488i
$622$			18.3598i			0.736160i
$623$	11.6574	−	10.1012i	0.467044	−	0.404696i
$624$	−2.89729	−	1.86198i	−0.115985	−	0.0745388i
$625$	−4.55272	+	24.5820i	−0.182109	+	0.983278i
$626$	−9.86117	+	21.5930i	−0.394132	+	0.863028i
$627$	24.9597	−	3.58866i	0.996794	−	0.143317i
$628$	−3.69317	+	12.5778i	−0.147374	+	0.501909i
$629$	12.3822	−	7.95756i	0.493711	−	0.317289i
$630$	33.6947	−	14.9791i	1.34243	−	0.596784i
$631$	−34.9977	+	10.2762i	−1.39324	+	0.409091i	−0.890356	−	0.455265i	$-0.849544\pi$
$631$	−34.9977	+	10.2762i	−1.39324	+	0.409091i	−0.502880	+	0.864356i	$0.667726\pi$
$632$	−2.61054	−	2.26205i	−0.103842	−	0.0899793i
$633$	−7.43212	−	6.43997i	−0.295400	−	0.255966i
$634$	17.3699	−	5.10026i	0.689847	−	0.202557i
$635$	−2.66039	−	5.98441i	−0.105575	−	0.237484i
$636$	−21.0809	+	13.5479i	−0.835913	+	0.537208i
$637$	1.17232	−	3.99257i	0.0464492	−	0.158191i
$638$	41.2772	−	5.93477i	1.63418	−	0.234960i
$639$	9.93265	−	21.7495i	0.392930	−	0.860396i
$640$	0.340525	−	2.20999i	0.0134604	−	0.0873574i
$641$	−25.2265	−	16.2121i	−0.996386	−	0.640339i	−0.0625510	−	0.998042i	$-0.519924\pi$
$641$	−25.2265	−	16.2121i	−0.996386	−	0.640339i	−0.933835	+	0.357703i	$0.883560\pi$
$642$	−24.8934	+	21.5703i	−0.982465	+	0.851311i
$643$		−	24.7567i		−	0.976310i	−0.872757	−	0.488155i	$-0.837670\pi$
$643$		−	24.7567i		−	0.976310i	0.872757	−	0.488155i	$-0.162330\pi$
$644$	−12.6035	+	9.01440i	−0.496648	+	0.355217i
$645$	0.106370	−	10.5493i	0.00418831	−	0.415379i
$646$	−1.25596	−	1.44945i	−0.0494151	−	0.0570280i
$647$	−14.0219	+	21.8185i	−0.551258	+	0.857774i	−0.999344	−	0.0362167i	$-0.988469\pi$
$647$	−14.0219	+	21.8185i	−0.551258	+	0.857774i	0.448086	+	0.893990i	$0.352106\pi$
$648$	−1.72014	−	0.247319i	−0.0675736	−	0.00971562i
$649$	13.4961	−	29.5524i	0.529770	−	1.16003i
$650$	−0.739966	−	6.00365i	−0.0290239	−	0.235483i
$651$	−52.8220	−	15.5099i	−2.07026	−	0.607882i
$652$	−6.41142	−	9.97636i	−0.251090	−	0.390704i
$653$	−11.2530	+	5.13908i	−0.440364	+	0.201108i	−0.623244	−	0.782028i	$-0.714185\pi$
$653$	−11.2530	+	5.13908i	−0.440364	+	0.201108i	0.182879	+	0.983135i	$0.441458\pi$
$654$	−31.3483	+	9.20470i	−1.22582	+	0.359932i
$655$	−9.99328	−	8.83720i	−0.390470	−	0.345298i
$656$	0.644252	−	0.743507i	0.0251538	−	0.0290291i
$657$	−9.08837	−	30.9521i	−0.354571	−	1.20756i
$658$	−23.5507	+	10.7552i	−0.918101	+	0.419283i
$659$	29.7303	−	19.1065i	1.15813	−	0.744284i	0.186887	−	0.982381i	$-0.440160\pi$
$659$	29.7303	−	19.1065i	1.15813	−	0.744284i	0.971241	+	0.238098i	$0.0765238\pi$
$660$	36.6722	+	11.1708i	1.42746	+	0.434822i
$661$	−2.91880	−	20.3007i	−0.113528	−	0.789607i	−0.964441	−	0.264299i	$-0.914859\pi$
$661$	−2.91880	−	20.3007i	−0.113528	−	0.789607i	0.850912	−	0.525308i	$-0.176050\pi$
$662$	−16.0409	−	7.32564i	−0.623448	−	0.284719i
$663$	−4.44515	−	0.639117i	−0.172636	−	0.0248212i
$664$	0.741754	+	0.476696i	0.0287856	+	0.0184994i
$665$	−6.87749	−	8.10066i	−0.266698	−	0.314130i
$666$	−57.6110			−2.23238
$667$	30.8548	+	12.2782i	1.19470	+	0.475412i
$668$			14.2560i			0.551582i
$669$	−23.1856	−	26.7577i	−0.896409	−	1.03451i
$670$	−6.77417	+	10.3107i	−0.261709	+	0.398339i
$671$	12.0301	−	83.6713i	0.464418	−	3.23009i
$672$	−8.36664	−	3.82092i	−0.322750	−	0.147395i
$673$	29.7365	−	4.27546i	1.14626	−	0.164807i	0.457098	−	0.889416i	$-0.348889\pi$
$673$	29.7365	−	4.27546i	1.14626	−	0.164807i	0.689160	+	0.724610i	$0.257980\pi$
$674$	−21.1814	−	6.21941i	−0.815876	−	0.239563i
$675$	−15.6786	−	25.5132i	−0.603468	−	0.982004i
$676$	−4.79237	−	10.4938i	−0.184322	−	0.403609i
$677$	1.00733	+	3.43064i	0.0387147	+	0.131850i	0.976583	−	0.215142i	$-0.0690213\pi$
$677$	1.00733	+	3.43064i	0.0387147	+	0.131850i	−0.937868	+	0.346992i	$0.887203\pi$
$678$	5.12219	+	4.43840i	0.196716	+	0.170456i
$679$	−4.81265	+	5.55409i	−0.184693	+	0.213147i
$680$	−0.793211	−	2.80578i	−0.0304182	−	0.107597i
$681$	25.2582	+	55.3077i	0.967896	+	2.11940i
$682$	−19.4881	−	30.3241i	−0.746239	−	1.16117i
$683$	−6.63638	+	22.6014i	−0.253934	+	0.864820i	0.729566	+	0.683911i	$0.239722\pi$
$683$	−6.63638	+	22.6014i	−0.253934	+	0.864820i	−0.983500	+	0.180910i	$0.942096\pi$
$684$	1.06834	+	7.43050i	0.0408492	+	0.284112i
$685$	15.4670	−	32.9838i	0.590963	−	1.26025i
$686$	−1.63721	+	11.3870i	−0.0625089	+	0.434759i
$687$	29.6150	−	46.0818i	1.12988	−	1.75813i
$688$	−1.25254	+	1.08534i	−0.0477528	+	0.0413780i
$689$	10.6497			0.405720
$690$	20.8890	+	22.2619i	0.795230	+	0.847498i
$691$	19.6669			0.748165			0.374083	−	0.927395i	$-0.377958\pi$
$691$	19.6669			0.748165			0.374083	+	0.927395i	$0.377958\pi$
$692$	−10.2852	+	8.91216i	−0.390984	+	0.338790i
$693$	53.6934	−	83.5486i	2.03964	−	3.17375i
$694$	−3.24382	+	22.5613i	−0.123134	+	0.856414i
$695$	−8.43653	−	3.95612i	−0.320016	−	0.150064i
$696$	2.80528	+	19.5111i	0.106334	+	0.739567i
$697$	0.361417	−	1.23087i	0.0136896	−	0.0466226i
$698$	13.0475	+	20.3023i	0.493855	+	0.768453i
$699$	22.7473	+	49.8096i	0.860381	+	1.88397i
$700$	−4.23793	−	15.5893i	−0.160179	−	0.589221i
$701$	6.23252	−	7.19272i	0.235399	−	0.271665i	−0.625743	−	0.780029i	$-0.715204\pi$
$701$	6.23252	−	7.19272i	0.235399	−	0.271665i	0.861142	+	0.508364i	$0.169750\pi$
$702$	5.47597	+	4.74496i	0.206677	+	0.179087i
$703$	4.67741	+	15.9298i	0.176412	+	0.600804i
$704$	−2.50182	−	5.47822i	−0.0942909	−	0.206468i
$705$	27.1424	+	43.1857i	1.02224	+	1.62647i
$706$	−13.6703	−	4.01397i	−0.514489	−	0.151068i
$707$	−18.1256	+	2.60606i	−0.681682	+	0.0980110i
$708$	13.9690	+	6.37942i	0.524987	+	0.239753i
$709$	−1.63407	+	11.3652i	−0.0613686	+	0.426828i	0.935856	+	0.352382i	$0.114628\pi$
$709$	−1.63407	+	11.3652i	−0.0613686	+	0.426828i	−0.997225	+	0.0744466i	$0.976281\pi$
$710$	−8.75489	−	5.75197i	−0.328565	−	0.215868i
$711$	11.5452	+	13.3238i	0.432978	+	0.499683i
$712$			4.77402i			0.178914i
$713$	−1.42533	−	28.6692i	−0.0533792	−	1.07367i
$714$	−11.9936			−0.448849
$715$	−10.5444	−	12.4197i	−0.394339	−	0.464472i
$716$	−17.1147	−	10.9990i	−0.639607	−	0.411051i
$717$	10.8289	+	1.55697i	0.404414	+	0.0581460i
$718$	−15.0671	−	6.88090i	−0.562298	−	0.256793i
$719$	5.12316	+	35.6323i	0.191062	+	1.32886i	0.829205	+	0.558945i	$0.188794\pi$
$719$	5.12316	+	35.6323i	0.191062	+	1.32886i	−0.638143	+	0.769918i	$0.720297\pi$
$720$	−3.32554	+	10.9173i	−0.123936	+	0.406865i
$721$	−38.7761	+	24.9199i	−1.44410	+	0.928064i
$722$	−15.3152	+	6.99420i	−0.569971	+	0.260297i
$723$	−8.21869	−	27.9903i	−0.305656	−	1.04097i
$724$	−0.275163	+	0.317555i	−0.0102264	+	0.0118018i
$725$	−23.1954	+	25.7029i	−0.861457	+	0.954582i
$726$	69.0230	−	20.2670i	2.56168	−	0.752178i
$727$	6.31127	−	2.88226i	0.234072	−	0.106897i	−0.294926	−	0.955520i	$-0.595295\pi$
$727$	6.31127	−	2.88226i	0.234072	−	0.106897i	0.528998	+	0.848623i	$0.322568\pi$
$728$	2.11333	+	3.28841i	0.0783253	+	0.121877i
$729$	−40.5660	−	11.9113i	−1.50245	−	0.441158i
$730$	−14.0087	+	1.87019i	−0.518486	+	0.0692188i
$731$	−0.897763	+	1.96583i	−0.0332050	+	0.0727087i
$732$	39.5502	+	5.68646i	1.46182	+	0.210178i
$733$	0.493331	−	0.767638i	0.0182216	−	0.0283533i	−0.832023	−	0.554741i	$-0.812817\pi$
$733$	0.493331	−	0.767638i	0.0182216	−	0.0283533i	0.850245	+	0.526387i	$0.176454\pi$
$734$	−7.85011	−	9.05951i	−0.289753	−	0.334393i
$735$	−21.8927	−	0.220747i	−0.807526	−	0.00814237i
$736$	0.445962	−	4.77505i	0.0164384	−	0.176011i
$737$			33.2275i			1.22395i
$738$	−3.79476	+	3.28818i	−0.139687	+	0.121039i
$739$	18.0065	+	11.5721i	0.662381	+	0.425687i	0.828172	−	0.560474i	$-0.189381\pi$
$739$	18.0065	+	11.5721i	0.662381	+	0.425687i	−0.165790	+	0.986161i	$0.553018\pi$
$740$	−3.84376	+	24.9457i	−0.141299	+	0.917023i
$741$	2.10431	−	4.60780i	0.0773038	−	0.169272i
$742$	28.1522	−	4.04768i	1.03350	−	0.148595i
$743$	3.25553	−	11.0873i	0.119434	−	0.406755i	−0.877974	−	0.478708i	$-0.841105\pi$
$743$	3.25553	−	11.0873i	0.119434	−	0.406755i	0.997408	+	0.0719536i	$0.0229233\pi$
$744$	14.3338	−	9.21176i	0.525502	−	0.337719i
$745$	−13.1833	+	5.86069i	−0.482998	+	0.214719i
$746$	2.54512	−	0.747313i	0.0931833	−	0.0273611i
$747$	−3.40103	−	2.94701i	−0.124437	−	0.107825i
$748$	−5.93494	−	5.14266i	−0.217003	−	0.188034i
$749$	35.8709	−	10.5326i	1.31069	−	0.384854i
$750$	−29.3378	+	12.3399i	−1.07127	+	0.450591i
$751$	41.7031	−	26.8009i	1.52177	−	0.977980i	0.530272	−	0.847828i	$-0.322090\pi$
$751$	41.7031	−	26.8009i	1.52177	−	0.977980i	0.991494	−	0.130152i	$-0.0415466\pi$
$752$	2.25754	−	7.68848i	0.0823241	−	0.280370i
$753$	−39.8722	+	5.73276i	−1.45302	+	0.208913i
$754$	3.48002	−	7.62017i	0.126735	−	0.277510i
$755$	34.5834	+	5.32878i	1.25862	+	0.193934i
$756$	16.2791	+	10.4619i	0.592064	+	0.380497i
$757$	−7.55352	+	6.54516i	−0.274537	+	0.237888i	−0.781237	−	0.624235i	$-0.785411\pi$
$757$	−7.55352	+	6.54516i	−0.274537	+	0.237888i	0.506699	+	0.862123i	$0.330865\pi$
$758$			3.19595i			0.116082i
$759$	79.9436	+	19.2185i	2.90177	+	0.697587i
$760$	3.28871	+	0.0331604i	0.119294	+	0.00120285i
$761$	10.4162	+	12.0209i	0.377586	+	0.435757i	0.912455	−	0.409178i	$-0.134184\pi$
$761$	10.4162	+	12.0209i	0.377586	+	0.435757i	−0.534869	+	0.844935i	$0.679639\pi$
$762$	4.50767	−	7.01407i	0.163296	−	0.254093i
$763$	36.7048	+	5.27735i	1.32880	+	0.191053i
$764$	−8.02089	+	17.5633i	−0.290186	+	0.635418i
$765$	1.96924	+	14.7507i	0.0711981	+	0.533312i
$766$	20.0097	+	5.87539i	0.722981	+	0.212286i
$767$	−3.52843	−	5.49034i	−0.127404	−	0.198245i
$768$	2.58948	−	1.18257i	0.0934396	−	0.0426725i
$769$	−30.0024	+	8.80949i	−1.08191	+	0.317678i	−0.773644	−	0.633621i	$-0.781568\pi$
$769$	−30.0024	+	8.80949i	−1.08191	+	0.317678i	−0.308269	+	0.951299i	$0.599750\pi$
$770$	−32.5944	−	28.8237i	−1.17462	−	1.03873i
$771$	21.5842	−	24.9095i	0.777336	−	0.897094i
$772$	1.24270	+	4.23223i	0.0447256	+	0.152321i
$773$	−7.44404	+	3.39958i	−0.267743	+	0.122274i	−0.544763	−	0.838590i	$-0.683380\pi$
$773$	−7.44404	+	3.39958i	−0.267743	+	0.122274i	0.277020	+	0.960864i	$0.410653\pi$
$774$	7.11608	−	4.57323i	0.255782	−	0.164381i
$775$	28.5385	+	9.00859i	1.02513	+	0.323598i
$776$	−0.323703	−	2.25140i	−0.0116202	−	0.0808206i
$777$	94.4403	+	43.1294i	3.38803	+	1.54726i
$778$	−27.8223	−	4.00025i	−0.997479	−	0.143416i
$779$	1.21730	+	0.782309i	0.0436142	+	0.0280291i
$780$	5.87063	−	4.98419i	0.210202	−	0.178462i
$781$	−28.2136			−1.00956
$782$	−2.05761	−	5.90537i	−0.0735799	−	0.211176i
$783$		−	41.4709i		−	1.48205i
$784$	2.25237	+	2.59938i	0.0804419	+	0.0928349i
$785$	−24.4979	−	16.0952i	−0.874368	−	0.574461i
$786$	2.41699	−	16.8105i	0.0862111	−	0.599612i
$787$	−2.33178	−	1.06489i	−0.0831188	−	0.0379591i	0.373422	−	0.927662i	$-0.378184\pi$
$787$	−2.33178	−	1.06489i	−0.0831188	−	0.0379591i	−0.456541	+	0.889703i	$0.650912\pi$
$788$	−4.61908	+	0.664124i	−0.164548	+	0.0236584i
$789$	−72.8867	−	21.4015i	−2.59483	−	0.761912i
$790$	6.53954	−	4.11014i	0.232666	−	0.146232i
$791$	−3.19560	−	6.99739i	−0.113623	−	0.248799i
$792$	8.65985	+	29.4927i	0.307714	+	1.04798i
$793$	−12.8334	−	11.1202i	−0.455729	−	0.394891i
$794$	−13.3833	+	15.4451i	−0.474954	+	0.548127i
$795$	−15.2436	−	53.9202i	−0.540634	−	1.91235i
$796$	−0.417030	−	0.913168i	−0.0147812	−	0.0323664i
$797$	17.6014	+	27.3884i	0.623475	+	0.970147i	0.999060	+	0.0433583i	$0.0138057\pi$
$797$	17.6014	+	27.3884i	0.623475	+	0.970147i	−0.375584	+	0.926788i	$0.622558\pi$
$798$	3.81140	−	12.9804i	0.134922	−	0.459502i
$799$	−1.48701	−	10.3424i	−0.0526066	−	0.365887i
$800$	4.50535	+	2.16836i	0.159288	+	0.0766632i
$801$	3.46764	−	24.1180i	0.122523	−	0.852166i
$802$	−20.8047	+	32.3727i	−0.734639	+	1.14312i
$803$	−28.7675	+	24.9272i	−1.01518	+	0.879660i
$804$	−15.7061			−0.553913
$805$	−11.0700	−	32.8328i	−0.390165	−	1.15721i
$806$	−7.24114			−0.255058
$807$	−19.8696	+	17.2171i	−0.699443	+	0.606071i
$808$	3.06411	−	4.76784i	0.107795	−	0.167732i
$809$	3.17196	−	22.0615i	0.111520	−	0.775641i	−0.854922	−	0.518757i	$-0.826395\pi$
$809$	3.17196	−	22.0615i	0.111520	−	0.775641i	0.966442	−	0.256884i	$-0.0826958\pi$
$810$	1.64982	−	3.51829i	0.0579689	−	0.123620i
$811$	−1.76480	−	12.2744i	−0.0619704	−	0.431014i	−0.997061	−	0.0766061i	$-0.975592\pi$
$811$	−1.76480	−	12.2744i	−0.0619704	−	0.431014i	0.935091	−	0.354408i	$-0.115317\pi$
$812$	6.30312	−	21.4665i	0.221196	−	0.753325i
$813$	36.0694	+	56.1251i	1.26501	+	1.96839i
$814$	28.2399	+	61.8367i	0.989807	+	2.16737i
$815$	25.5172	−	7.21389i	0.893830	−	0.252691i
$816$	2.43086	−	2.80536i	0.0850970	−	0.0982072i
$817$	−1.84228	−	1.59634i	−0.0644532	−	0.0558490i
$818$	4.20925	+	14.3354i	0.147173	+	0.501226i
$819$	−8.28781	−	18.1478i	−0.289600	−	0.634135i
$820$	1.17061	+	1.86253i	0.0408794	+	0.0650422i
$821$	31.6975	+	9.30723i	1.10625	+	0.324824i	0.783333	−	0.621603i	$-0.213518\pi$
$821$	31.6975	+	9.30723i	1.10625	+	0.324824i	0.322918	+	0.946427i	$0.395336\pi$
$822$	45.9070	−	6.60043i	1.60119	−	0.230216i
$823$	−4.40107	−	2.00990i	−0.153412	−	0.0700608i	0.337230	−	0.941422i	$-0.390510\pi$
$823$	−4.40107	−	2.00990i	−0.153412	−	0.0700608i	−0.490641	+	0.871362i	$0.663237\pi$
$824$	2.03024	−	14.1206i	0.0707268	−	0.491916i
$825$	−47.7893	+	71.1644i	−1.66381	+	2.47763i
$826$	−11.4141	−	13.1726i	−0.397147	−	0.458332i
$827$		−	17.8667i		−	0.621288i	−0.950526	−	0.310644i	$-0.899455\pi$
$827$		−	17.8667i		−	0.621288i	0.950526	−	0.310644i	$-0.100545\pi$
$828$	−5.72134	+	23.7992i	−0.198830	+	0.827080i
$829$	10.9446			0.380122			0.190061	−	0.981772i	$-0.439131\pi$
$829$	10.9446			0.380122			0.190061	+	0.981772i	$0.439131\pi$
$830$	−1.50298	+	1.27603i	−0.0521690	+	0.0442917i
$831$	8.91561	+	5.72971i	0.309279	+	0.198762i
$832$	−1.19750	−	0.172175i	−0.0415159	−	0.00596909i
$833$	4.07964	+	1.86311i	0.141351	+	0.0645528i
$834$	−1.68825	−	11.7420i	−0.0584592	−	0.406593i
$835$	−30.4941	−	9.28884i	−1.05529	−	0.321453i
$836$	7.45183	−	4.78900i	0.257727	−	0.165631i
$837$	−32.6075	+	14.8913i	−1.12708	+	0.514719i
$838$	−3.73531	−	12.7213i	−0.129034	−	0.439450i
$839$	4.62690	−	5.33973i	0.159738	−	0.184348i	−0.670238	−	0.742146i	$-0.733808\pi$
$839$	4.62690	−	5.33973i	0.159738	−	0.184348i	0.829977	+	0.557798i	$0.188354\pi$
$840$	13.6245	−	15.4069i	0.470091	−	0.531588i
$841$	−18.1792	+	5.33791i	−0.626871	+	0.184066i
$842$	6.18700	−	2.82551i	0.213218	−	0.0973734i
$843$	11.7140	+	18.2274i	0.403453	+	0.627785i
$844$	−3.31459	−	0.973253i	−0.114093	−	0.0335007i
$845$	25.5692	−	3.41353i	0.879607	−	0.117429i
$846$	−16.9895	+	37.2018i	−0.584110	+	1.27902i
$847$	−80.8169	−	11.6197i	−2.77690	−	0.399258i
$848$	−4.75910	+	7.40531i	−0.163428	+	0.254299i
$849$	14.7251	+	16.9937i	0.505364	+	0.583221i
$850$	6.51848	+	0.131466i	0.223582	+	0.00450926i
$851$	−5.03389	+	53.8995i	−0.172560	+	1.84765i
$852$		−	13.3361i		−	0.456889i
$853$	−0.985186	+	0.853669i	−0.0337321	+	0.0292291i	−0.671564	−	0.740947i	$-0.734377\pi$
$853$	−0.985186	+	0.853669i	−0.0337321	+	0.0292291i	0.637832	+	0.770176i	$0.279832\pi$
$854$	−38.1515	−	24.5185i	−1.30552	−	0.839005i
$855$	−16.5902	−	2.55629i	−0.567372	−	0.0874234i
$856$	−4.80666	+	10.5251i	−0.164288	+	0.359741i
$857$	40.8261	−	5.86990i	1.39459	−	0.200512i	0.596289	−	0.802769i	$-0.296641\pi$
$857$	40.8261	−	5.86990i	1.39459	−	0.200512i	0.798302	+	0.602258i	$0.205732\pi$
$858$	5.84355	−	19.9013i	0.199496	−	0.679419i
$859$	−19.4532	+	12.5018i	−0.663735	+	0.426556i	−0.828662	−	0.559749i	$-0.810897\pi$
$859$	−19.4532	+	12.5018i	−0.663735	+	0.426556i	0.164927	+	0.986306i	$0.447261\pi$
$860$	−1.50544	−	3.38641i	−0.0513351	−	0.115475i
$861$	8.68229	−	2.54935i	0.295892	−	0.0868816i
$862$	4.87105	+	4.22079i	0.165909	+	0.143761i
$863$	−17.4347	−	15.1072i	−0.593483	−	0.514256i	0.305527	−	0.952183i	$-0.401167\pi$
$863$	−17.4347	−	15.1072i	−0.593483	−	0.514256i	−0.899010	+	0.437927i	$0.855713\pi$
$864$	−5.74653	+	1.68733i	−0.195501	+	0.0574042i
$865$	−12.3618	−	27.8072i	−0.420315	−	0.945475i
$866$	−3.74765	+	2.40847i	−0.127350	+	0.0818430i
$867$	−12.2706	+	41.7898i	−0.416731	+	1.41926i
$868$	−19.1418	+	2.75218i	−0.649716	+	0.0934151i
$869$	8.64189	−	18.9231i	0.293156	−	0.641922i
$870$	−43.5627	−	6.71236i	−1.47692	−	0.227570i
$871$	5.61526	+	3.60871i	0.190266	+	0.122276i
$872$	−8.67371	+	7.51581i	−0.293729	+	0.254517i
$873$			11.6090i			0.392905i
$874$	7.04515	−	0.350261i	0.238306	−	0.0118477i
$875$	36.1073	+	1.09252i	1.22065	+	0.0369339i
$876$	−11.7827	−	13.5980i	−0.398100	−	0.459432i
$877$	7.84408	−	12.2056i	0.264876	−	0.412155i	−0.683184	−	0.730246i	$-0.739405\pi$
$877$	7.84408	−	12.2056i	0.264876	−	0.412155i	0.948060	+	0.318091i	$0.103042\pi$
$878$	18.4377	+	2.65094i	0.622242	+	0.0894649i
$879$	−8.45892	+	18.5225i	−0.285312	+	0.624747i
$880$	13.3482	−	1.78201i	0.449968	−	0.0600715i
$881$	7.95567	+	2.33600i	0.268033	+	0.0787017i	0.412988	−	0.910737i	$-0.364485\pi$
$881$	7.95567	+	2.33600i	0.268033	+	0.0787017i	−0.144954	+	0.989438i	$0.546303\pi$
$882$	−9.49072	−	14.7678i	−0.319569	−	0.497259i
$883$	−35.0328	+	15.9989i	−1.17895	+	0.538407i	−0.905858	−	0.423582i	$-0.860773\pi$
$883$	−35.0328	+	15.9989i	−1.17895	+	0.538407i	−0.273089	+	0.961989i	$0.588045\pi$
$884$	−1.51365	+	0.444448i	−0.0509096	+	0.0149484i
$885$	−22.7476	+	25.7234i	−0.764652	+	0.864684i
$886$	15.5494	−	17.9450i	0.522392	−	0.602872i
$887$	−6.63100	−	22.5831i	−0.222647	−	0.758267i	−0.992734	−	0.120328i	$-0.961605\pi$
$887$	−6.63100	−	22.5831i	−0.222647	−	0.758267i	0.770087	−	0.637939i	$-0.220213\pi$
$888$	−29.2293	+	13.3486i	−0.980871	+	0.447949i
$889$	−7.96092	+	5.11617i	−0.267001	+	0.171591i
$890$	−10.2118	−	3.11063i	−0.342300	−	0.104268i
$891$	−1.48947	−	10.3595i	−0.0498991	−	0.347056i
$892$	−11.3133	−	5.16662i	−0.378798	−	0.172991i
$893$	11.6659	+	1.67730i	0.390384	+	0.0561287i
$894$	−15.4516	−	9.93012i	−0.516778	−	0.332113i
$895$	34.6786	−	29.4423i	1.15918	−	0.984147i
$896$	−3.23102			−0.107941
$897$	11.9302	−	11.4228i	0.398337	−	0.381396i
$898$		−	30.6529i		−	1.02290i
$899$	27.1404	+	31.3217i	0.905182	+	1.04464i
$900$	−21.1857	−	14.2269i	−0.706188	−	0.474229i
$901$	−1.63354	+	11.3616i	−0.0544213	+	0.378508i
$902$	5.38948	+	2.46129i	0.179450	+	0.0819521i
$903$	−15.0889	+	2.16945i	−0.502127	+	0.0721949i
$904$	2.28441	+	0.670762i	0.0759782	+	0.0223092i
$905$	−0.499972	−	0.795493i	−0.0166196	−	0.0264431i
$906$	18.5057	+	40.5219i	0.614812	+	1.34625i
$907$	4.95989	+	16.8918i	0.164690	+	0.560884i	0.999939	+	0.0110118i	$0.00350524\pi$
$907$	4.95989	+	16.8918i	0.164690	+	0.560884i	−0.835249	+	0.549872i	$0.814677\pi$
$908$	16.1418	+	13.9869i	0.535684	+	0.464173i
$909$	−18.9428	+	21.8611i	−0.628292	+	0.725087i
$910$	−8.41100	+	2.37784i	−0.278822	+	0.0788247i
$911$	−7.13695	−	15.6277i	−0.236458	−	0.517770i	0.753785	−	0.657121i	$-0.228226\pi$
$911$	−7.13695	−	15.6277i	−0.236458	−	0.517770i	−0.990243	+	0.139351i	$0.955498\pi$
$912$	2.26369	+	3.52237i	0.0749583	+	0.116637i
$913$	−1.49604	+	5.09506i	−0.0495118	+	0.168622i
$914$	0.0711341	+	0.494749i	0.00235291	+	0.0163648i
$915$	−37.9334	+	80.8939i	−1.25404	+	2.67427i
$916$	2.73846	−	19.0464i	0.0904814	−	0.629312i
$917$	−10.4214	+	16.2160i	−0.344145	+	0.535500i
$918$	−5.90209	+	5.11419i	−0.194798	+	0.168793i
$919$	−34.7492			−1.14627			−0.573135	−	0.819461i	$-0.694273\pi$
$919$	−34.7492			−1.14627			−0.573135	+	0.819461i	$0.694273\pi$
$920$	9.92341	+	4.06522i	0.327165	+	0.134026i
$921$	−70.9511			−2.33792
$922$	0.826884	−	0.716499i	0.0272320	−	0.0235966i
$923$	−3.06417	+	4.76794i	−0.100858	+	0.156939i
$924$	7.88333	−	54.8297i	0.259342	−	1.80377i
$925$	−50.8552	−	24.4759i	−1.67211	−	0.804762i
$926$	−0.483553	−	3.36319i	−0.0158905	−	0.110521i
$927$	−20.5132	+	69.8616i	−0.673742	+	2.29456i
$928$	3.74359	+	5.82514i	0.122889	+	0.191220i
$929$	6.18277	+	13.5384i	0.202850	+	0.444180i	0.983528	−	0.180753i	$-0.0578535\pi$
$929$	6.18277	+	13.5384i	0.202850	+	0.444180i	−0.780678	+	0.624933i	$0.785126\pi$
$930$	10.3647	+	36.6625i	0.339873	+	1.20221i
$931$	−3.31285	+	3.82324i	−0.108574	+	0.125302i
$932$	14.5371	+	12.5965i	0.476180	+	0.412612i
$933$	−14.7248	−	50.1482i	−0.482070	−	1.64178i
$934$	−8.68909	−	19.0264i	−0.284316	−	0.622564i
$935$	14.8673	−	9.34420i	0.486214	−	0.305588i
$936$	5.92462	+	1.73963i	0.193652	+	0.0568614i
$937$	27.3958	−	3.93892i	0.894983	−	0.128679i	0.320551	−	0.947231i	$-0.396132\pi$
$937$	27.3958	−	3.93892i	0.894983	−	0.128679i	0.574432	+	0.818552i	$0.305223\pi$
$938$	16.2154	+	7.40534i	0.529453	+	0.241793i
$939$	9.61707	−	66.8882i	0.313841	−	2.18281i
$940$	14.9749	+	9.83856i	0.488429	+	0.320898i
$941$	16.0671	+	18.5425i	0.523774	+	0.604467i	0.954572	−	0.297981i	$-0.0963132\pi$
$941$	16.0671	+	18.5425i	0.523774	+	0.604467i	−0.430798	+	0.902448i	$0.641768\pi$
$942$		−	37.3172i		−	1.21586i
$943$	2.74476	+	3.83760i	0.0893818	+	0.124969i
$944$	5.39452			0.175577
$945$	−32.9854	+	28.0047i	−1.07301	+	0.910994i
$946$	−8.39684	−	5.39632i	−0.273005	−	0.175450i
$947$	28.8658	+	4.15027i	0.938011	+	0.134866i	0.594331	−	0.804221i	$-0.297417\pi$
$947$	28.8658	+	4.15027i	0.938011	+	0.134866i	0.343681	+	0.939087i	$0.388326\pi$
$948$	8.94467	+	4.08489i	0.290509	+	0.132671i
$949$	1.08823	+	7.56879i	0.0353253	+	0.245693i
$950$	−2.21376	+	7.01304i	−0.0718240	+	0.227533i
$951$	−43.3539	+	27.8619i	−1.40585	+	0.903483i
$952$	−3.83239	+	1.75019i	−0.124208	+	0.0567241i
$953$	11.0795	+	37.7333i	0.358900	+	1.22230i	0.919127	+	0.393962i	$0.128896\pi$
$953$	11.0795	+	37.7333i	0.358900	+	1.22230i	−0.560227	+	0.828339i	$0.689286\pi$
$954$	29.4215	−	33.9542i	0.952555	−	1.09931i
$955$	−32.3422	−	28.6007i	−1.04657	−	0.925497i
$956$	3.68744	−	1.08273i	0.119260	−	0.0350180i
$957$	−107.985	+	49.3153i	−3.49067	+	1.59414i
$958$	−4.76785	−	7.41891i	−0.154042	−	0.239694i
$959$	−50.5076	−	14.8304i	−1.63098	−	0.478898i
$960$	0.842329	+	6.30950i	0.0271860	+	0.203638i
$961$	2.00399	−	4.38814i	0.0646450	−	0.141553i
$962$	13.5171	+	1.94346i	0.435808	+	0.0626598i
$963$	31.9278	−	49.6806i	1.02886	−	1.60093i
$964$	−6.71071	−	7.74457i	−0.216137	−	0.249436i
$965$	−9.86258	−	0.0994455i	−0.317488	−	0.00320126i
$966$	27.1957	−	34.7303i	0.875008	−	1.11743i
$967$			24.3037i			0.781554i	0.920485	+	0.390777i	$0.127794\pi$
$967$			24.3037i			0.781554i	−0.920485	+	0.390777i	$0.872206\pi$
$968$	19.0978	−	16.5484i	0.613827	−	0.531884i
$969$	4.59303	+	2.95176i	0.147549	+	0.0948243i
$970$	5.02673	+	0.774543i	0.161399	+	0.0248691i
$971$	8.30982	−	18.1960i	0.266675	−	0.583937i	−0.728164	−	0.685403i	$-0.759626\pi$
$971$	8.30982	−	18.1960i	0.266675	−	0.583937i	0.994839	+	0.101466i	$0.0323534\pi$
$972$	−12.8877	+	1.85297i	−0.413374	+	0.0594342i
$973$	−3.79329	+	12.9188i	−0.121607	+	0.414156i
$974$	−20.8719	+	13.4135i	−0.668778	+	0.429798i
$975$	6.83618	+	15.8050i	0.218933	+	0.506166i
$976$	13.4675	−	3.95442i	0.431085	−	0.126578i
$977$	−9.93741	−	8.61082i	−0.317926	−	0.275484i	0.481248	−	0.876585i	$-0.340184\pi$
$977$	−9.93741	−	8.61082i	−0.317926	−	0.275484i	−0.799174	+	0.601100i	$0.794729\pi$
$978$	25.5134	+	22.1075i	0.815830	+	0.706921i
$979$	−27.5867	+	8.10020i	−0.881676	+	0.258883i
$980$	−7.02773	+	3.12421i	−0.224493	+	0.0997992i
$981$	49.2780	−	31.6690i	1.57332	−	1.01111i
$982$	−5.09943	+	17.3671i	−0.162729	+	0.554206i
$983$	−39.2814	+	5.64781i	−1.25288	+	0.180137i	−0.736628	−	0.676298i	$-0.763583\pi$
$983$	−39.2814	+	5.64781i	−1.25288	+	0.180137i	−0.516254	+	0.856436i	$0.672674\pi$
$984$	−1.16342	+	2.54753i	−0.0370884	+	0.0812122i
$985$	1.58909	−	10.3131i	0.0506326	−	0.328602i
$986$	7.59575	+	4.88149i	0.241898	+	0.155458i
$987$	55.7008	−	48.2651i	1.77298	−	1.53629i
$988$		−	1.77943i		−	0.0566113i
$989$	−3.65682	−	7.05723i	−0.116280	−	0.224407i
$990$	−68.7284	−	0.692995i	−2.18433	−	0.0220248i
$991$	32.7737	+	37.8229i	1.04109	+	1.20148i	0.979094	+	0.203408i	$0.0652018\pi$
$991$	32.7737	+	37.8229i	1.04109	+	1.20148i	0.0619981	+	0.998076i	$0.480253\pi$
$992$	3.23591	−	5.03517i	0.102740	−	0.159867i
$993$	49.6897	+	7.14430i	1.57685	+	0.226717i
$994$	−6.28790	+	13.7686i	−0.199440	+	0.436713i
$995$	2.22502	−	0.297044i	0.0705379	−	0.00941693i
$996$	−2.40836	−	0.707158i	−0.0763117	−	0.0224071i
$997$	10.4030	+	16.1873i	0.329466	+	0.512658i	0.965984	−	0.258603i	$-0.0832623\pi$
$997$	10.4030	+	16.1873i	0.329466	+	0.512658i	−0.636518	+	0.771262i	$0.719626\pi$
$998$	−22.1926	+	10.1350i	−0.702493	+	0.320818i
$999$	64.8652	−	19.0461i	2.05224	−	0.602593i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.59.6	yes	120
5.4	even	2	inner	230.2.j.a.59.7	yes	120
23.16	even	11	inner	230.2.j.a.39.7	yes	120
115.39	even	22	inner	230.2.j.a.39.6	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.39.6	✓	120	115.39	even	22	inner
230.2.j.a.39.7	yes	120	23.16	even	11	inner
230.2.j.a.59.6	yes	120	1.1	even	1	trivial
230.2.j.a.59.7	yes	120	5.4	even	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.755750 + 0.654861i) q^{2} +(1.53906 - 2.39482i) q^{3} +(0.142315 - 0.989821i) q^{4} +(2.02453 + 0.949357i) q^{5} +(0.405132 + 2.81775i) q^{6} +(0.910283 - 3.10014i) q^{7} +(0.540641 + 0.841254i) q^{8} +(-2.12022 - 4.64264i) q^{9} +O(q^{10})\)	\(q+(-0.755750 + 0.654861i) q^{2} +(1.53906 - 2.39482i) q^{3} +(0.142315 - 0.989821i) q^{4} +(2.02453 + 0.949357i) q^{5} +(0.405132 + 2.81775i) q^{6} +(0.910283 - 3.10014i) q^{7} +(0.540641 + 0.841254i) q^{8} +(-2.12022 - 4.64264i) q^{9} +(-2.15173 + 0.608309i) q^{10} +(-3.94387 + 4.55147i) q^{11} +(-2.15141 - 1.86421i) q^{12} +(0.340845 + 1.16081i) q^{13} +(1.34221 + 2.93904i) q^{14} +(5.38941 - 3.38727i) q^{15} +(-0.959493 - 0.281733i) q^{16} +(-1.29069 + 0.185573i) q^{17} +(4.64264 + 2.12022i) q^{18} +(0.209321 - 1.45586i) q^{19} +(1.22781 - 1.86882i) q^{20} +(-6.02330 - 6.95125i) q^{21} -6.02246i q^{22} +(2.38929 - 4.15828i) q^{23} +2.84673 q^{24} +(3.19744 + 3.84400i) q^{25} +(-1.01776 - 0.654076i) q^{26} +(-5.92817 - 0.852342i) q^{27} +(-2.93904 - 1.34221i) q^{28} +(0.985439 + 6.85388i) q^{29} +(-1.85485 + 6.08924i) q^{30} +(5.03517 - 3.23591i) q^{31} +(0.909632 - 0.415415i) q^{32} +(4.83011 + 16.4498i) q^{33} +(0.853912 - 0.985467i) q^{34} +(4.78603 - 5.41214i) q^{35} +(-4.89712 + 1.43792i) q^{36} +(-10.2677 + 4.68909i) q^{37} +(0.795190 + 1.23734i) q^{38} +(3.30451 + 0.970293i) q^{39} +(0.295894 + 2.21640i) q^{40} +(-0.408686 + 0.894897i) q^{41} +(9.10421 + 1.30899i) q^{42} +(0.896033 - 1.39425i) q^{43} +(3.94387 + 4.55147i) q^{44} +(0.115068 - 11.4120i) q^{45} +(0.917390 + 4.70727i) q^{46} +8.01306i q^{47} +(-2.15141 + 1.86421i) q^{48} +(-2.89346 - 1.85952i) q^{49} +(-4.93375 - 0.811224i) q^{50} +(-1.54203 + 3.37657i) q^{51} +(1.19750 - 0.172175i) q^{52} +(2.48001 - 8.44614i) q^{53} +(5.03838 - 3.23797i) q^{54} +(-12.3055 + 5.47045i) q^{55} +(3.10014 - 0.910283i) q^{56} +(-3.16436 - 2.74194i) q^{57} +(-5.23308 - 4.53449i) q^{58} +(-5.17601 + 1.51981i) q^{59} +(-2.58580 - 5.81661i) q^{60} +(-11.8079 + 7.58847i) q^{61} +(-1.68626 + 5.74287i) q^{62} +(-16.3228 + 2.34687i) q^{63} +(-0.415415 + 0.909632i) q^{64} +(-0.411973 + 2.67368i) q^{65} +(-14.4227 - 9.26892i) q^{66} +(4.16967 - 3.61304i) q^{67} +1.30396i q^{68} +(-6.28108 - 12.1218i) q^{69} +(-0.0728444 + 7.22441i) q^{70} +(3.06784 + 3.54048i) q^{71} +(2.75936 - 4.29364i) q^{72} +(6.25614 + 0.899497i) q^{73} +(4.68909 - 10.2677i) q^{74} +(14.1267 - 1.74116i) q^{75} +(-1.41125 - 0.414380i) q^{76} +(10.5202 + 16.3697i) q^{77} +(-3.13279 + 1.43070i) q^{78} +(-3.31432 + 0.973172i) q^{79} +(-1.67506 - 1.48128i) q^{80} +(-1.13804 + 1.31337i) q^{81} +(-0.277169 - 0.943950i) q^{82} +(0.802045 - 0.366282i) q^{83} +(-7.73770 + 4.97272i) q^{84} +(-2.78921 - 0.849626i) q^{85} +(0.235866 + 1.64048i) q^{86} +(17.9305 + 8.18856i) q^{87} +(-5.96116 - 0.857086i) q^{88} +(4.01616 + 2.58103i) q^{89} +(7.38631 + 8.69997i) q^{90} +3.90894 q^{91} +(-3.77592 - 2.95675i) q^{92} -17.0386i q^{93} +(-5.24744 - 6.05587i) q^{94} +(1.80591 - 2.74871i) q^{95} +(0.405132 - 2.81775i) q^{96} +(-2.06901 - 0.944884i) q^{97} +(3.40446 - 0.489487i) q^{98} +(29.4927 + 8.65985i) 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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