LMFDB - Embedded newform 230.2.g.d.141.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(31,230)]

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([0, 6]))

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

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

chi := DirichletCharacter("230.31");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.g (of order $11$, 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:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			141.3
Character	$\chi$	$=$	230.141
Dual form			230.2.g.d.31.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.142315 - 0.989821i) q^{2} +(1.30924 - 2.86684i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-3.02398 - 0.887921i) q^{6} +(-0.493060 + 0.316870i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-4.54006 - 5.23951i) q^{9} +O(q^{10})$	\(q+(-0.142315 - 0.989821i) q^{2} +(1.30924 - 2.86684i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-3.02398 - 0.887921i) q^{6} +(-0.493060 + 0.316870i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-4.54006 - 5.23951i) q^{9} +(-0.841254 - 0.540641i) q^{10} +(-0.242232 + 1.68476i) q^{11} +(-0.448526 + 3.11956i) q^{12} +(5.25515 + 3.37728i) q^{13} +(0.383815 + 0.442946i) q^{14} +(-1.30924 - 2.86684i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-2.14296 - 0.629229i) q^{17} +(-4.54006 + 5.23951i) q^{18} +(1.47258 - 0.432387i) q^{19} +(-0.415415 + 0.909632i) q^{20} +(0.262882 + 1.82838i) q^{21} +1.70208 q^{22} +(-1.29994 + 4.61629i) q^{23} +3.15164 q^{24} +(-0.142315 - 0.989821i) q^{25} +(2.59502 - 5.68230i) q^{26} +(-11.8929 + 3.49207i) q^{27} +(0.383815 - 0.442946i) q^{28} +(0.262809 + 0.0771677i) q^{29} +(-2.65133 + 1.70391i) q^{30} +(-3.69829 - 8.09813i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(4.51279 + 2.90019i) q^{33} +(-0.317850 + 2.21069i) q^{34} +(-0.0834109 + 0.580136i) q^{35} +(5.83229 + 3.74819i) q^{36} +(5.54390 + 6.39800i) q^{37} +(-0.637555 - 1.39605i) q^{38} +(16.5624 - 10.6440i) q^{39} +(0.959493 + 0.281733i) q^{40} +(2.02311 - 2.33479i) q^{41} +(1.77236 - 0.520412i) q^{42} +(3.08429 - 6.75365i) q^{43} +(-0.242232 - 1.68476i) q^{44} -6.93286 q^{45} +(4.75431 + 0.629743i) q^{46} -5.72656 q^{47} +(-0.448526 - 3.11956i) q^{48} +(-2.76520 + 6.05495i) q^{49} +(-0.959493 + 0.281733i) q^{50} +(-4.60954 + 5.31969i) q^{51} +(-5.99377 - 1.75993i) q^{52} +(8.65325 - 5.56110i) q^{53} +(5.14906 + 11.2749i) q^{54} +(1.11463 + 1.28635i) q^{55} +(-0.493060 - 0.316870i) q^{56} +(0.688372 - 4.78773i) q^{57} +(0.0389806 - 0.271116i) q^{58} +(-5.47617 - 3.51932i) q^{59} +(2.06389 + 2.38185i) q^{60} +(4.86419 + 10.6511i) q^{61} +(-7.48938 + 4.81313i) q^{62} +(3.89876 + 1.14478i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(5.99377 - 1.75993i) q^{65} +(2.22844 - 4.87959i) q^{66} +(1.87379 + 13.0325i) q^{67} +2.23343 q^{68} +(11.5322 + 9.77055i) q^{69} +0.586101 q^{70} +(-1.13073 - 7.86440i) q^{71} +(2.88001 - 6.30635i) q^{72} +(-1.37667 + 0.404227i) q^{73} +(5.54390 - 6.39800i) q^{74} +(-3.02398 - 0.887921i) q^{75} +(-1.29111 + 0.829745i) q^{76} +(-0.414415 - 0.907443i) q^{77} +(-12.8927 - 14.8790i) q^{78} +(9.95391 + 6.39699i) q^{79} +(0.142315 - 0.989821i) q^{80} +(-2.59952 + 18.0800i) q^{81} +(-2.59894 - 1.67024i) q^{82} +(-2.84544 - 3.28382i) q^{83} +(-0.767348 - 1.68026i) q^{84} +(-1.87888 + 1.20748i) q^{85} +(-7.12385 - 2.09175i) q^{86} +(0.565307 - 0.652399i) q^{87} +(-1.63314 + 0.479532i) q^{88} +(-4.46450 + 9.77589i) q^{89} +(0.986649 + 6.86229i) q^{90} -3.66127 q^{91} +(-0.0532753 - 4.79554i) q^{92} -28.0580 q^{93} +(0.814974 + 5.66827i) q^{94} +(0.637555 - 1.39605i) q^{95} +(-3.02398 + 0.887921i) q^{96} +(-2.54448 + 2.93648i) q^{97} +(6.38685 + 1.87535i) q^{98} +(9.92705 - 6.37973i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9}+O(q^{10}) $ 30 * q - 3 * q^2 - q^3 - 3 * q^4 + 3 * q^5 - q^6 + 8 * q^7 - 3 * q^8 + 12 * q^9	\( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9} + 3 q^{10} - 3 q^{11} - q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} - 26 q^{17} + 12 q^{18} - 25 q^{19} + 3 q^{20} - 11 q^{21} - 14 q^{22} + 14 q^{23} + 10 q^{24} - 3 q^{25} - 10 q^{26} - 52 q^{27} - 3 q^{28} + 4 q^{29} + q^{30} + 5 q^{31} - 3 q^{32} + 9 q^{33} + 7 q^{34} + 3 q^{35} + 12 q^{36} - 20 q^{37} + 19 q^{38} + 41 q^{39} + 3 q^{40} + 32 q^{41} + 22 q^{42} - 46 q^{43} - 3 q^{44} - 56 q^{45} + 3 q^{46} + 80 q^{47} - q^{48} - 41 q^{49} - 3 q^{50} - 34 q^{51} - 21 q^{52} + 29 q^{53} + 47 q^{54} + 3 q^{55} + 8 q^{56} - 33 q^{57} - 7 q^{58} - 3 q^{59} + q^{60} - q^{61} - 28 q^{62} - 8 q^{63} - 3 q^{64} + 21 q^{65} - 46 q^{66} - 63 q^{67} - 4 q^{68} + 78 q^{69} - 8 q^{70} + 55 q^{71} - 32 q^{72} - 36 q^{73} - 20 q^{74} - q^{75} - 3 q^{76} - 9 q^{77} - 80 q^{78} - 29 q^{79} + 3 q^{80} + 15 q^{81} - 23 q^{82} - 63 q^{83} + 4 q^{85} + 31 q^{86} + 63 q^{87} - 3 q^{88} - 95 q^{89} + 10 q^{90} - 12 q^{91} + 14 q^{92} + 126 q^{93} + 3 q^{94} - 19 q^{95} - q^{96} + 11 q^{97} + 58 q^{98} + 97 q^{99}+O(q^{100}) \) 30 * q - 3 * q^2 - q^3 - 3 * q^4 + 3 * q^5 - q^6 + 8 * q^7 - 3 * q^8 + 12 * q^9 + 3 * q^10 - 3 * q^11 - q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 - 26 * q^17 + 12 * q^18 - 25 * q^19 + 3 * q^20 - 11 * q^21 - 14 * q^22 + 14 * q^23 + 10 * q^24 - 3 * q^25 - 10 * q^26 - 52 * q^27 - 3 * q^28 + 4 * q^29 + q^30 + 5 * q^31 - 3 * q^32 + 9 * q^33 + 7 * q^34 + 3 * q^35 + 12 * q^36 - 20 * q^37 + 19 * q^38 + 41 * q^39 + 3 * q^40 + 32 * q^41 + 22 * q^42 - 46 * q^43 - 3 * q^44 - 56 * q^45 + 3 * q^46 + 80 * q^47 - q^48 - 41 * q^49 - 3 * q^50 - 34 * q^51 - 21 * q^52 + 29 * q^53 + 47 * q^54 + 3 * q^55 + 8 * q^56 - 33 * q^57 - 7 * q^58 - 3 * q^59 + q^60 - q^61 - 28 * q^62 - 8 * q^63 - 3 * q^64 + 21 * q^65 - 46 * q^66 - 63 * q^67 - 4 * q^68 + 78 * q^69 - 8 * q^70 + 55 * q^71 - 32 * q^72 - 36 * q^73 - 20 * q^74 - q^75 - 3 * q^76 - 9 * q^77 - 80 * q^78 - 29 * q^79 + 3 * q^80 + 15 * q^81 - 23 * q^82 - 63 * q^83 + 4 * q^85 + 31 * q^86 + 63 * q^87 - 3 * q^88 - 95 * q^89 + 10 * q^90 - 12 * q^91 + 14 * q^92 + 126 * q^93 + 3 * q^94 - 19 * q^95 - q^96 + 11 * q^97 + 58 * q^98 + 97 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$47$	$51$
$\chi(n)$	$1$	$e\left(\frac{8}{11}\right)$

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 $

$2$	−0.142315	−	0.989821i	−0.100632	−	0.699909i
$2$	−0.142315	−	0.989821i	−0.100632	−	0.699909i
$3$	1.30924	−	2.86684i	0.755890	−	1.65517i	0.000407523	−	1.00000i	$-0.499870\pi$
$3$	1.30924	−	2.86684i	0.755890	−	1.65517i	0.755483	−	0.655169i	$-0.227402\pi$
$4$	−0.959493	+	0.281733i	−0.479746	+	0.140866i
$5$	0.654861	−	0.755750i	0.292863	−	0.337981i
$5$	0.654861	−	0.755750i	0.292863	−	0.337981i
$6$	−3.02398	−	0.887921i	−1.23453	−	0.362492i
$7$	−0.493060	+	0.316870i	−0.186359	+	0.119766i	−0.630494	−	0.776194i	$-0.717148\pi$
$7$	−0.493060	+	0.316870i	−0.186359	+	0.119766i	0.444135	+	0.895960i	$0.353511\pi$
$8$	0.415415	+	0.909632i	0.146871	+	0.321603i
$9$	−4.54006	−	5.23951i	−1.51335	−	1.74650i
$10$	−0.841254	−	0.540641i	−0.266028	−	0.170966i
$11$	−0.242232	+	1.68476i	−0.0730356	+	0.507974i	0.920162	+	0.391537i	$0.128056\pi$
$11$	−0.242232	+	1.68476i	−0.0730356	+	0.507974i	−0.993198	+	0.116437i	$0.962853\pi$
$12$	−0.448526	+	3.11956i	−0.129478	+	0.900541i
$13$	5.25515	+	3.37728i	1.45752	+	0.936689i	0.998843	+	0.0480845i	$0.0153117\pi$
$13$	5.25515	+	3.37728i	1.45752	+	0.936689i	0.458674	+	0.888605i	$0.348325\pi$
$14$	0.383815	+	0.442946i	0.102579	+	0.118382i
$15$	−1.30924	−	2.86684i	−0.338044	−	0.740214i
$16$	0.841254	−	0.540641i	0.210313	−	0.135160i
$17$	−2.14296	−	0.629229i	−0.519743	−	0.152610i	0.0113308	−	0.999936i	$-0.496393\pi$
$17$	−2.14296	−	0.629229i	−0.519743	−	0.152610i	−0.531074	+	0.847325i	$0.678211\pi$
$18$	−4.54006	+	5.23951i	−1.07010	+	1.23496i
$19$	1.47258	−	0.432387i	0.337832	−	0.0991964i	−0.108416	−	0.994106i	$-0.534578\pi$
$19$	1.47258	−	0.432387i	0.337832	−	0.0991964i	0.446248	+	0.894909i	$0.352760\pi$
$20$	−0.415415	+	0.909632i	−0.0928896	+	0.203400i
$21$	0.262882	+	1.82838i	0.0573655	+	0.398986i
$22$	1.70208			0.362885
$23$	−1.29994	+	4.61629i	−0.271056	+	0.962563i
$23$	−1.29994	+	4.61629i	−0.271056	+	0.962563i
$24$	3.15164			0.643327
$25$	−0.142315	−	0.989821i	−0.0284630	−	0.197964i
$26$	2.59502	−	5.68230i	0.508925	−	1.11439i
$27$	−11.8929	+	3.49207i	−2.28879	+	0.672049i
$28$	0.383815	−	0.442946i	0.0725342	−	0.0837089i
$29$	0.262809	+	0.0771677i	0.0488024	+	0.0143297i	0.306043	−	0.952018i	$-0.400995\pi$
$29$	0.262809	+	0.0771677i	0.0488024	+	0.0143297i	−0.257240	+	0.966347i	$0.582813\pi$
$30$	−2.65133	+	1.70391i	−0.484065	+	0.311089i
$31$	−3.69829	−	8.09813i	−0.664233	−	1.45447i	−0.878525	−	0.477697i	$-0.841472\pi$
$31$	−3.69829	−	8.09813i	−0.664233	−	1.45447i	0.214292	−	0.976770i	$-0.431256\pi$
$32$	−0.654861	−	0.755750i	−0.115764	−	0.133599i
$33$	4.51279	+	2.90019i	0.785576	+	0.504859i
$34$	−0.317850	+	2.21069i	−0.0545108	+	0.379131i
$35$	−0.0834109	+	0.580136i	−0.0140990	+	0.0980608i
$36$	5.83229	+	3.74819i	0.972049	+	0.624698i
$37$	5.54390	+	6.39800i	0.911411	+	1.05182i	0.998452	+	0.0556194i	$0.0177134\pi$
$37$	5.54390	+	6.39800i	0.911411	+	1.05182i	−0.0870412	+	0.996205i	$0.527741\pi$
$38$	−0.637555	−	1.39605i	−0.103425	−	0.226469i
$39$	16.5624	−	10.6440i	2.65210	−	1.70440i
$40$	0.959493	+	0.281733i	0.151709	+	0.0445458i
$41$	2.02311	−	2.33479i	0.315956	−	0.364633i	−0.575451	−	0.817836i	$-0.695173\pi$
$41$	2.02311	−	2.33479i	0.315956	−	0.364633i	0.891407	+	0.453204i	$0.149719\pi$
$42$	1.77236	−	0.520412i	0.273481	−	0.0803012i
$43$	3.08429	−	6.75365i	0.470350	−	1.02992i	−0.514656	−	0.857397i	$-0.672080\pi$
$43$	3.08429	−	6.75365i	0.470350	−	1.02992i	0.985005	−	0.172525i	$-0.0551926\pi$
$44$	−0.242232	−	1.68476i	−0.0365178	−	0.253987i
$45$	−6.93286			−1.03349
$46$	4.75431	+	0.629743i	0.700984	+	0.0928505i
$47$	−5.72656			−0.835304			−0.417652	−	0.908607i	$-0.637147\pi$
$47$	−5.72656			−0.835304			−0.417652	+	0.908607i	$0.637147\pi$
$48$	−0.448526	−	3.11956i	−0.0647391	−	0.450270i
$49$	−2.76520	+	6.05495i	−0.395029	+	0.864993i
$50$	−0.959493	+	0.281733i	−0.135693	+	0.0398430i
$51$	−4.60954	+	5.31969i	−0.645465	+	0.744906i
$52$	−5.99377	−	1.75993i	−0.831187	−	0.244058i
$53$	8.65325	−	5.56110i	1.18861	−	0.763876i	0.211664	−	0.977342i	$-0.432112\pi$
$53$	8.65325	−	5.56110i	1.18861	−	0.763876i	0.976950	+	0.213466i	$0.0684753\pi$
$54$	5.14906	+	11.2749i	0.700698	+	1.53431i
$55$	1.11463	+	1.28635i	0.150296	+	0.173451i
$56$	−0.493060	−	0.316870i	−0.0658879	−	0.0423436i
$57$	0.688372	−	4.78773i	0.0911771	−	0.634150i
$58$	0.0389806	−	0.271116i	0.00511840	−	0.0355993i
$59$	−5.47617	−	3.51932i	−0.712936	−	0.458176i	0.133237	−	0.991084i	$-0.457463\pi$
$59$	−5.47617	−	3.51932i	−0.712936	−	0.458176i	−0.846173	+	0.532908i	$0.821099\pi$
$60$	2.06389	+	2.38185i	0.266447	+	0.307496i
$61$	4.86419	+	10.6511i	0.622795	+	1.36373i	0.913469	+	0.406909i	$0.133393\pi$
$61$	4.86419	+	10.6511i	0.622795	+	1.36373i	−0.290674	+	0.956822i	$0.593879\pi$
$62$	−7.48938	+	4.81313i	−0.951152	+	0.611268i
$63$	3.89876	+	1.14478i	0.491198	+	0.144229i
$64$	−0.654861	+	0.755750i	−0.0818576	+	0.0944687i
$65$	5.99377	−	1.75993i	0.743436	−	0.218292i
$66$	2.22844	−	4.87959i	0.274302	−	0.600637i
$67$	1.87379	+	13.0325i	0.228920	+	1.59217i	0.702673	+	0.711513i	$0.251990\pi$
$67$	1.87379	+	13.0325i	0.228920	+	1.59217i	−0.473754	+	0.880657i	$0.657101\pi$
$68$	2.23343			0.270843
$69$	11.5322	+	9.77055i	1.38832	+	1.17624i
$70$	0.586101			0.0700525
$71$	−1.13073	−	7.86440i	−0.134193	−	0.933332i	−0.940005	−	0.341161i	$-0.889180\pi$
$71$	−1.13073	−	7.86440i	−0.134193	−	0.933332i	0.805812	−	0.592171i	$-0.201729\pi$
$72$	2.88001	−	6.30635i	0.339413	−	0.743211i
$73$	−1.37667	+	0.404227i	−0.161127	+	0.0473112i	−0.361301	−	0.932449i	$-0.617667\pi$
$73$	−1.37667	+	0.404227i	−0.161127	+	0.0473112i	0.200174	+	0.979760i	$0.435849\pi$
$74$	5.54390	−	6.39800i	0.644465	−	0.743752i
$75$	−3.02398	−	0.887921i	−0.349179	−	0.102528i
$76$	−1.29111	+	0.829745i	−0.148100	+	0.0951783i
$77$	−0.414415	−	0.907443i	−0.0472270	−	0.103413i
$78$	−12.8927	−	14.8790i	−1.45981	−	1.68471i
$79$	9.95391	+	6.39699i	1.11990	+	0.719718i	0.963429	−	0.267964i	$-0.0863509\pi$
$79$	9.95391	+	6.39699i	1.11990	+	0.719718i	0.156474	+	0.987682i	$0.449987\pi$
$80$	0.142315	−	0.989821i	0.0159113	−	0.110665i
$81$	−2.59952	+	18.0800i	−0.288835	+	2.00889i
$82$	−2.59894	−	1.67024i	−0.287005	−	0.184447i
$83$	−2.84544	−	3.28382i	−0.312328	−	0.360446i	0.577782	−	0.816191i	$-0.303918\pi$
$83$	−2.84544	−	3.28382i	−0.312328	−	0.360446i	−0.890110	+	0.455745i	$0.849373\pi$
$84$	−0.767348	−	1.68026i	−0.0837245	−	0.183331i
$85$	−1.87888	+	1.20748i	−0.203793	+	0.130970i
$86$	−7.12385	−	2.09175i	−0.768184	−	0.225559i
$87$	0.565307	−	0.652399i	0.0606073	−	0.0699445i
$88$	−1.63314	+	0.479532i	−0.174093	+	0.0511183i
$89$	−4.46450	+	9.77589i	−0.473236	+	1.03624i	0.511032	+	0.859561i	$0.329263\pi$
$89$	−4.46450	+	9.77589i	−0.473236	+	1.03624i	−0.984268	+	0.176681i	$0.943464\pi$
$90$	0.986649	+	6.86229i	0.104002	+	0.723349i
$91$	−3.66127			−0.383805
$92$	−0.0532753	−	4.79554i	−0.00555433	−	0.499969i
$93$	−28.0580			−2.90948
$94$	0.814974	+	5.66827i	0.0840582	+	0.584637i
$95$	0.637555	−	1.39605i	0.0654118	−	0.143232i
$96$	−3.02398	+	0.887921i	−0.308634	+	0.0906230i
$97$	−2.54448	+	2.93648i	−0.258353	+	0.298155i	−0.870077	−	0.492916i	$-0.835931\pi$
$97$	−2.54448	+	2.93648i	−0.258353	+	0.298155i	0.611724	+	0.791071i	$0.290476\pi$
$98$	6.38685	+	1.87535i	0.645169	+	0.189439i
$99$	9.92705	−	6.37973i	0.997706	−	0.641187i
$100$	0.415415	+	0.909632i	0.0415415	+	0.0909632i
$101$	−11.3182	−	13.0619i	−1.12621	−	1.29971i	−0.948908	−	0.315553i	$-0.897810\pi$
$101$	−11.3182	−	13.0619i	−1.12621	−	1.29971i	−0.177298	−	0.984157i	$-0.556736\pi$
$102$	5.92155	+	3.80555i	0.586321	+	0.376806i
$103$	0.220091	−	1.53077i	0.0216862	−	0.150831i	−0.976101	−	0.217317i	$-0.930270\pi$
$103$	0.220091	−	1.53077i	0.0216862	−	0.150831i	0.997787	+	0.0664856i	$0.0211787\pi$
$104$	−0.889014	+	6.18323i	−0.0871750	+	0.606315i
$105$	1.55395	+	0.998662i	0.151650	+	0.0974595i
$106$	−6.73599	−	7.77374i	−0.654257	−	0.755052i
$107$	−1.74238	−	3.81528i	−0.168442	−	0.368837i	0.806520	−	0.591206i	$-0.201348\pi$
$107$	−1.74238	−	3.81528i	−0.168442	−	0.368837i	−0.974962	+	0.222369i	$0.928621\pi$
$108$	10.4273	−	6.70123i	1.00337	−	0.644826i
$109$	−19.3101	−	5.66996i	−1.84957	−	0.543084i	−0.999875	−	0.0158169i	$-0.994965\pi$
$109$	−19.3101	−	5.66996i	−1.84957	−	0.543084i	−0.849700	−	0.527267i	$-0.823217\pi$
$110$	1.11463	−	1.28635i	0.106276	−	0.122649i
$111$	25.6003	−	7.51693i	2.42987	−	0.713475i
$112$	−0.243475	+	0.533137i	−0.0230063	+	0.0503767i
$113$	2.87342	+	19.9851i	0.270309	+	1.88004i	0.445170	+	0.895446i	$0.353143\pi$
$113$	2.87342	+	19.9851i	0.270309	+	1.88004i	−0.174861	+	0.984593i	$0.555948\pi$
$114$	−4.83696			−0.453023
$115$	2.63748	+	4.00546i	0.245946	+	0.373511i
$116$	−0.273904			−0.0254313
$117$	−6.16341	−	42.8674i	−0.569807	−	3.96310i
$118$	−2.70416	+	5.92128i	−0.248938	+	0.545098i
$119$	1.25599	−	0.368792i	0.115136	−	0.0338071i
$120$	2.06389	−	2.38185i	0.188406	−	0.217432i
$121$	7.77469	+	2.28285i	0.706790	+	0.207532i
$122$	9.85042	−	6.33048i	0.891815	−	0.573135i
$123$	−4.04472	−	8.85671i	−0.364700	−	0.798583i
$124$	5.82999	+	6.72817i	0.523549	+	0.604207i
$125$	−0.841254	−	0.540641i	−0.0752440	−	0.0483564i
$126$	0.578276	−	4.02200i	0.0515169	−	0.358308i
$127$	−0.440666	+	3.06490i	−0.0391028	+	0.271966i	−0.999988	−	0.00498237i	$-0.998414\pi$
$127$	−0.440666	+	3.06490i	−0.0391028	+	0.271966i	0.960885	+	0.276949i	$0.0893231\pi$
$128$	0.841254	+	0.540641i	0.0743570	+	0.0477863i
$129$	−15.3235	−	17.6843i	−1.34916	−	1.55702i
$130$	−2.59502	−	5.68230i	−0.227598	−	0.498371i
$131$	−2.36509	+	1.51995i	−0.206639	+	0.132799i	−0.639867	−	0.768485i	$-0.721011\pi$
$131$	−2.36509	+	1.51995i	−0.206639	+	0.132799i	0.433228	+	0.901284i	$0.357374\pi$
$132$	−5.14707	−	1.51132i	−0.447995	−	0.131543i
$133$	−0.589057	+	0.679808i	−0.0510777	+	0.0589468i
$134$	12.6332	−	3.70943i	1.09134	−	0.320446i
$135$	−5.14906	+	11.2749i	−0.443160	+	0.970386i
$136$	−0.317850	−	2.21069i	−0.0272554	−	0.189565i
$137$	−11.7641			−1.00508			−0.502539	−	0.864555i	$-0.667601\pi$
$137$	−11.7641			−1.00508			−0.502539	+	0.864555i	$0.667601\pi$
$138$	8.02990	−	12.8053i	0.683550	−	1.09006i
$139$	−16.1372			−1.36874			−0.684368	−	0.729137i	$-0.739922\pi$
$139$	−16.1372			−1.36874			−0.684368	+	0.729137i	$0.739922\pi$
$140$	−0.0834109	−	0.580136i	−0.00704951	−	0.0490304i
$141$	−7.49744	+	16.4171i	−0.631398	+	1.38257i
$142$	−7.62343	+	2.23844i	−0.639744	+	0.187846i
$143$	−6.96287	+	8.03558i	−0.582264	+	0.671969i
$144$	−6.65203	−	1.95321i	−0.554336	−	0.162768i
$145$	0.230423	−	0.148084i	0.0191356	−	0.0122977i
$146$	0.596033	+	1.30513i	0.0493281	+	0.108013i
$147$	13.7382	+	15.8548i	1.13311	+	1.30768i
$148$	−7.12185	−	4.57694i	−0.585413	−	0.376222i
$149$	0.680101	−	4.73020i	0.0557160	−	0.387513i	−0.942814	−	0.333318i	$-0.891832\pi$
$149$	0.680101	−	4.73020i	0.0557160	−	0.387513i	0.998530	−	0.0541951i	$-0.0172593\pi$
$150$	−0.448526	+	3.11956i	−0.0366220	+	0.254711i
$151$	4.58931	+	2.94937i	0.373473	+	0.240016i	0.713890	−	0.700258i	$-0.246932\pi$
$151$	4.58931	+	2.94937i	0.373473	+	0.240016i	−0.340417	+	0.940275i	$0.610568\pi$
$152$	1.00504	+	1.15988i	0.0815198	+	0.0940788i
$153$	6.43230	+	14.0848i	0.520020	+	1.13869i
$154$	−0.839229	+	0.539340i	−0.0676270	+	0.0434612i
$155$	−8.54202	−	2.50816i	−0.686112	−	0.201461i
$156$	−12.8927	+	14.8790i	−1.03224	+	1.19127i
$157$	5.22176	−	1.53325i	0.416742	−	0.122367i	−0.0666377	−	0.997777i	$-0.521227\pi$
$157$	5.22176	−	1.53325i	0.416742	−	0.122367i	0.483380	+	0.875411i	$0.339409\pi$
$158$	4.91529	−	10.7630i	0.391039	−	0.856257i
$159$	−4.61360	−	32.0883i	−0.365882	−	2.54476i
$160$	−1.00000			−0.0790569
$161$	−0.821817	−	2.68802i	−0.0647683	−	0.211846i
$162$	18.2660			1.43511
$163$	0.456880	+	3.17767i	0.0357856	+	0.248895i	0.999860	−	0.0167383i	$-0.00532821\pi$
$163$	0.456880	+	3.17767i	0.0357856	+	0.248895i	−0.964074	+	0.265633i	$0.914419\pi$
$164$	−1.28337	+	2.81019i	−0.100214	+	0.219439i
$165$	5.14707	−	1.51132i	0.400699	−	0.117656i
$166$	−2.84544	+	3.28382i	−0.220849	+	0.254874i
$167$	8.20807	+	2.41011i	0.635160	+	0.186500i	0.583433	−	0.812161i	$-0.301709\pi$
$167$	8.20807	+	2.41011i	0.635160	+	0.186500i	0.0517272	+	0.998661i	$0.483527\pi$
$168$	−1.55395	+	0.998662i	−0.119890	+	0.0770485i
$169$	10.8102	+	23.6710i	0.831554	+	1.82085i
$170$	1.46258	+	1.68791i	0.112175	+	0.129457i
$171$	−8.95107	−	5.75250i	−0.684505	−	0.439905i
$172$	−1.05663	+	7.34902i	−0.0805673	+	0.560358i
$173$	−2.28391	+	15.8850i	−0.173643	+	1.20771i	0.697465	+	0.716619i	$0.254311\pi$
$173$	−2.28391	+	15.8850i	−0.173643	+	1.20771i	−0.871108	+	0.491092i	$0.836598\pi$
$174$	−0.726210	−	0.466707i	−0.0550539	−	0.0353810i
$175$	0.383815	+	0.442946i	0.0290137	+	0.0334836i
$176$	0.707071	+	1.54827i	0.0532975	+	0.116705i
$177$	−17.2589	+	11.0916i	−1.29726	+	0.833698i
$178$	10.3117	+	3.02780i	0.772898	+	0.226943i
$179$	0.578725	−	0.667884i	0.0432559	−	0.0499200i	−0.733709	−	0.679463i	$-0.762213\pi$
$179$	0.578725	−	0.667884i	0.0432559	−	0.0499200i	0.776965	+	0.629543i	$0.216758\pi$
$180$	6.65203	−	1.95321i	0.495813	−	0.145584i
$181$	2.42646	−	5.31321i	0.180358	−	0.394928i	−0.797762	−	0.602973i	$-0.793983\pi$
$181$	2.42646	−	5.31321i	0.180358	−	0.394928i	0.978119	+	0.208045i	$0.0667100\pi$
$182$	0.521052	+	3.62400i	0.0386230	+	0.268629i
$183$	36.9033			2.72797
$184$	−4.73914	+	0.735209i	−0.349374	+	0.0542003i
$185$	8.46576			0.622415
$186$	3.99306	+	27.7724i	0.292786	+	2.03637i
$187$	1.57919	−	3.45795i	0.115482	−	0.252870i
$188$	5.49459	−	1.61336i	0.400734	−	0.117666i
$189$	4.75737	−	5.49030i	0.346048	−	0.399361i
$190$	−1.47258	−	0.432387i	−0.106832	−	0.0313687i
$191$	−10.9385	+	7.02977i	−0.791484	+	0.508656i	−0.872827	−	0.488030i	$-0.837716\pi$
$191$	−10.9385	+	7.02977i	−0.791484	+	0.508656i	0.0813425	+	0.996686i	$0.474079\pi$
$192$	1.30924	+	2.86684i	0.0944863	+	0.206896i
$193$	1.47901	+	1.70687i	0.106461	+	0.122863i	0.806479	−	0.591262i	$-0.201370\pi$
$193$	1.47901	+	1.70687i	0.106461	+	0.122863i	−0.700018	+	0.714125i	$0.746825\pi$
$194$	3.26871	+	2.10067i	0.234680	+	0.150820i
$195$	2.80186	−	19.4873i	0.200645	−	1.39552i
$196$	0.947317	−	6.58873i	0.0676655	−	0.470624i
$197$	5.00593	+	3.21711i	0.356657	+	0.229210i	0.706683	−	0.707530i	$-0.250191\pi$
$197$	5.00593	+	3.21711i	0.356657	+	0.229210i	−0.350026	+	0.936740i	$0.613827\pi$
$198$	−7.72756	−	8.91808i	−0.549174	−	0.633780i
$199$	−8.56360	−	18.7517i	−0.607058	−	1.32927i	−0.924568	−	0.381016i	$-0.875574\pi$
$199$	−8.56360	−	18.7517i	−0.607058	−	1.32927i	0.317511	−	0.948255i	$-0.397153\pi$
$200$	0.841254	−	0.540641i	0.0594856	−	0.0382291i
$201$	39.8152	+	11.6908i	2.80835	+	0.824605i
$202$	−11.3182	+	13.0619i	−0.796348	+	0.919034i
$203$	−0.154033	+	0.0452281i	−0.0108110	+	0.00317439i
$204$	2.92409	−	6.40287i	0.204727	−	0.448290i
$205$	−0.439663	−	3.05792i	−0.0307074	−	0.213575i
$206$	−1.54651			−0.107750
$207$	30.0889	−	14.1472i	2.09132	−	0.983297i
$208$	6.24681			0.433138
$209$	0.371763	+	2.58567i	0.0257154	+	0.178855i
$210$	0.767348	−	1.68026i	0.0529520	−	0.115949i
$211$	−0.291024	+	0.0854525i	−0.0200349	+	0.00588279i	−0.291735	−	0.956499i	$-0.594232\pi$
$211$	−0.291024	+	0.0854525i	−0.0200349	+	0.00588279i	0.271700	+	0.962382i	$0.412414\pi$
$212$	−6.73599	+	7.77374i	−0.462629	+	0.533903i
$213$	−24.0263	−	7.05477i	−1.64626	−	0.483385i
$214$	−3.52848	+	2.26762i	−0.241202	+	0.155011i
$215$	−3.08429	−	6.75365i	−0.210347	−	0.460595i
$216$	−8.11698	−	9.36749i	−0.552291	−	0.637377i
$217$	4.38954	+	2.82098i	0.297981	+	0.191501i
$218$	−2.86413	+	19.9205i	−0.193984	+	1.34919i
$219$	−0.643540	+	4.47592i	−0.0434864	+	0.302455i
$220$	−1.43188	−	0.920216i	−0.0965376	−	0.0620409i
$221$	−9.13648	−	10.5441i	−0.614586	−	0.709270i
$222$	−11.0837	−	24.2700i	−0.743890	−	1.62889i
$223$	−11.0096	+	7.07545i	−0.737259	+	0.473807i	−0.854602	−	0.519284i	$-0.826199\pi$
$223$	−11.0096	+	7.07545i	−0.737259	+	0.473807i	0.117343	+	0.993091i	$0.462562\pi$
$224$	0.562360	+	0.165124i	0.0375743	+	0.0110328i
$225$	−4.54006	+	5.23951i	−0.302670	+	0.349300i
$226$	19.3727	−	5.68835i	1.28866	−	0.378383i
$227$	−8.94360	+	19.5838i	−0.593608	+	1.29982i	0.339630	+	0.940559i	$0.389698\pi$
$227$	−8.94360	+	19.5838i	−0.593608	+	1.29982i	−0.933237	+	0.359260i	$0.883029\pi$
$228$	0.688372	+	4.78773i	0.0455885	+	0.317075i
$229$	11.6468			0.769640			0.384820	−	0.922992i	$-0.374263\pi$
$229$	11.6468			0.769640			0.384820	+	0.922992i	$0.374263\pi$
$230$	3.58934	−	3.18067i	0.236674	−	0.209727i
$231$	−3.14406			−0.206864
$232$	0.0389806	+	0.271116i	0.00255920	+	0.0177996i
$233$	6.19002	−	13.5543i	0.405522	−	0.887969i	−0.591159	−	0.806555i	$-0.701329\pi$
$233$	6.19002	−	13.5543i	0.405522	−	0.887969i	0.996680	−	0.0814135i	$-0.0259434\pi$
$234$	−41.5540	+	12.2013i	−2.71647	+	0.797627i
$235$	−3.75010	+	4.32784i	−0.244629	+	0.282317i
$236$	6.24585	+	1.83395i	0.406570	+	0.119380i
$237$	31.3712	−	20.1610i	2.03778	−	1.30960i
$238$	−0.543784	−	1.19072i	−0.0352483	−	0.0771830i
$239$	−9.22524	−	10.6465i	−0.596731	−	0.688665i	0.374384	−	0.927274i	$-0.377854\pi$
$239$	−9.22524	−	10.6465i	−0.596731	−	0.688665i	−0.971116	+	0.238609i	$0.923309\pi$
$240$	−2.65133	−	1.70391i	−0.171143	−	0.109987i
$241$	−0.114663	+	0.797502i	−0.00738612	+	0.0513716i	−0.993181	−	0.116581i	$-0.962807\pi$
$241$	−0.114663	+	0.797502i	−0.00738612	+	0.0513716i	0.985795	+	0.167953i	$0.0537156\pi$
$242$	1.15316	−	8.02044i	0.0741282	−	0.515573i
$243$	17.1472	+	11.0198i	1.09999	+	0.706921i
$244$	−7.66791	−	8.84924i	−0.490887	−	0.566514i
$245$	2.76520	+	6.05495i	0.176662	+	0.386837i
$246$	−8.19094	+	5.26399i	−0.522235	+	0.335620i
$247$	9.19890	+	2.70104i	0.585312	+	0.171863i
$248$	5.82999	−	6.72817i	0.370205	−	0.427239i
$249$	−13.1395	+	3.85811i	−0.832684	+	0.244498i
$250$	−0.415415	+	0.909632i	−0.0262732	+	0.0575302i
$251$	−2.58783	−	17.9987i	−0.163342	−	1.13607i	−0.892277	−	0.451488i	$-0.850894\pi$
$251$	−2.58783	−	17.9987i	−0.163342	−	1.13607i	0.728935	−	0.684583i	$-0.240016\pi$
$252$	−4.06336			−0.255968
$253$	−7.46245	−	3.30830i	−0.469160	−	0.207991i
$254$	3.09642			0.194287
$255$	1.00175	+	6.96732i	0.0627320	+	0.436310i
$256$	0.415415	−	0.909632i	0.0259634	−	0.0568520i
$257$	15.4095	−	4.52463i	0.961216	−	0.282239i	0.236767	−	0.971566i	$-0.423912\pi$
$257$	15.4095	−	4.52463i	0.961216	−	0.282239i	0.724450	+	0.689328i	$0.242094\pi$
$258$	−15.3235	+	17.6843i	−0.954002	+	1.10098i
$259$	−4.76081	−	1.39790i	−0.295822	−	0.0868612i
$260$	−5.25515	+	3.37728i	−0.325911	+	0.209450i
$261$	−0.788847	−	1.72733i	−0.0488284	−	0.106919i
$262$	1.84107	+	2.12471i	0.113742	+	0.131265i
$263$	6.70950	+	4.31194i	0.413726	+	0.265885i	0.730904	−	0.682481i	$-0.239099\pi$
$263$	6.70950	+	4.31194i	0.413726	+	0.265885i	−0.317178	+	0.948366i	$0.602735\pi$
$264$	−0.763428	+	5.30976i	−0.0469858	+	0.326793i
$265$	1.46387	−	10.1814i	0.0899248	−	0.625441i
$266$	0.756720	+	0.486315i	0.0463975	+	0.0298179i
$267$	22.1808	+	25.5980i	1.35744	+	1.56657i
$268$	−5.46956	−	11.9767i	−0.334106	−	0.731591i
$269$	15.1847	−	9.75864i	0.925829	−	0.594994i	0.0114860	−	0.999934i	$-0.496344\pi$
$269$	15.1847	−	9.75864i	0.925829	−	0.594994i	0.914343	+	0.404940i	$0.132707\pi$
$270$	11.8929	+	3.49207i	0.723778	+	0.212520i
$271$	14.9602	−	17.2649i	0.908765	−	1.04877i	−0.0898392	−	0.995956i	$-0.528635\pi$
$271$	14.9602	−	17.2649i	0.908765	−	1.04877i	0.998604	−	0.0528146i	$-0.0168192\pi$
$272$	−2.14296	+	0.629229i	−0.129936	+	0.0381526i
$273$	−4.79348	+	10.4962i	−0.290114	+	0.635262i
$274$	1.67421	+	11.6444i	0.101143	+	0.703463i
$275$	1.70208			0.102640
$276$	−13.8178	−	6.12578i	−0.831732	−	0.368728i
$277$	20.9373			1.25800			0.629000	−	0.777405i	$-0.283465\pi$
$277$	20.9373			1.25800			0.629000	+	0.777405i	$0.283465\pi$
$278$	2.29656	+	15.9729i	0.137738	+	0.957991i
$279$	−25.6397	+	56.1432i	−1.53501	+	3.36120i
$280$	−0.562360	+	0.165124i	−0.0336074	+	0.00986804i
$281$	−1.89023	+	2.18144i	−0.112762	+	0.130134i	−0.809324	−	0.587362i	$-0.800166\pi$
$281$	−1.89023	+	2.18144i	−0.112762	+	0.130134i	0.696562	+	0.717496i	$0.254712\pi$
$282$	17.3170	+	5.08473i	1.03121	+	0.302791i
$283$	−2.40666	+	1.54667i	−0.143061	+	0.0919398i	−0.610213	−	0.792237i	$-0.708916\pi$
$283$	−2.40666	+	1.54667i	−0.143061	+	0.0919398i	0.467152	+	0.884177i	$0.345280\pi$
$284$	3.30058	+	7.22727i	0.195854	+	0.428860i
$285$	−3.16754	−	3.65553i	−0.187629	−	0.216535i
$286$	8.94471	+	5.74841i	0.528912	+	0.339911i
$287$	−0.257687	+	1.79225i	−0.0152108	+	0.105793i
$288$	−0.986649	+	6.86229i	−0.0581388	+	0.404364i
$289$	−10.1050	−	6.49407i	−0.594410	−	0.382004i
$290$	−0.179369	−	0.207003i	−0.0105329	−	0.0121556i
$291$	5.08708	+	11.1392i	0.298210	+	0.652989i
$292$	1.20702	−	0.775706i	0.0706356	−	0.0453948i
$293$	−2.68442	−	0.788217i	−0.156826	−	0.0460482i	0.202377	−	0.979308i	$-0.435133\pi$
$293$	−2.68442	−	0.788217i	−0.156826	−	0.0460482i	−0.359203	+	0.933259i	$0.616951\pi$
$294$	13.7382	−	15.8548i	0.801230	−	0.924669i
$295$	−6.24585	+	1.83395i	−0.363647	+	0.106776i
$296$	−3.51680	+	7.70073i	−0.204410	+	0.447596i
$297$	−3.00246	−	20.8825i	−0.174220	−	1.21173i
$298$	−4.77884			−0.276831
$299$	−22.4219	+	19.8691i	−1.29669	+	1.14906i
$300$	3.15164			0.181960
$301$	0.619292	+	4.30727i	0.0356954	+	0.248267i
$302$	2.26622	−	4.96234i	0.130406	−	0.285550i
$303$	−52.2647	+	15.3463i	−3.00253	+	0.881622i
$304$	1.00504	−	1.15988i	0.0576432	−	0.0665238i
$305$	11.2349	+	3.29887i	0.643309	+	0.188893i
$306$	13.0260	−	8.37130i	0.744646	−	0.478555i
$307$	−11.8778	−	26.0087i	−0.677902	−	1.48440i	−0.864851	−	0.502028i	$-0.832587\pi$
$307$	−11.8778	−	26.0087i	−0.677902	−	1.48440i	0.186950	−	0.982369i	$-0.440140\pi$
$308$	0.653285	+	0.753931i	0.0372244	+	0.0429592i
$309$	−4.10031	−	2.63511i	−0.233258	−	0.149906i
$310$	−1.26698	+	8.81203i	−0.0719595	+	0.500490i
$311$	2.45615	−	17.0829i	0.139276	−	0.968684i	−0.793588	−	0.608455i	$-0.791790\pi$
$311$	2.45615	−	17.0829i	0.139276	−	0.968684i	0.932864	−	0.360229i	$-0.117301\pi$
$312$	16.5624	+	10.6440i	0.937659	+	0.602597i
$313$	−19.9457	−	23.0185i	−1.12740	−	1.30108i	−0.948344	−	0.317245i	$-0.897242\pi$
$313$	−19.9457	−	23.0185i	−1.12740	−	1.30108i	−0.179052	−	0.983840i	$-0.557303\pi$
$314$	−2.26078	−	4.95041i	−0.127583	−	0.279368i
$315$	3.41831	−	2.19682i	0.192600	−	0.123777i
$316$	−11.3530	−	3.33353i	−0.638653	−	0.187526i
$317$	−5.77890	+	6.66921i	−0.324576	+	0.374580i	−0.894463	−	0.447143i	$-0.852442\pi$
$317$	−5.77890	+	6.66921i	−0.324576	+	0.374580i	0.569887	+	0.821723i	$0.306987\pi$
$318$	−31.1051	+	9.13327i	−1.74429	+	0.512168i
$319$	−0.193670	+	0.424077i	−0.0108434	+	0.0237438i
$320$	0.142315	+	0.989821i	0.00795564	+	0.0553327i
$321$	−13.2190			−0.737811
$322$	−2.54370	+	1.19600i	−0.141755	+	0.0666503i
$323$	−3.42774			−0.190724
$324$	−2.59952	−	18.0800i	−0.144418	−	1.00445i
$325$	2.59502	−	5.68230i	0.143946	−	0.315197i
$326$	3.08031	−	0.904460i	0.170602	−	0.0500934i
$327$	−41.5364	+	47.9356i	−2.29697	+	2.65085i
$328$	2.96423	+	0.870375i	0.163672	+	0.0480584i
$329$	2.82354	−	1.81458i	0.155667	−	0.100041i
$330$	−2.22844	−	4.87959i	−0.122671	−	0.268613i
$331$	−3.88592	−	4.48459i	−0.213590	−	0.246496i	0.638837	−	0.769342i	$-0.279416\pi$
$331$	−3.88592	−	4.48459i	−0.213590	−	0.246496i	−0.852427	+	0.522846i	$0.824870\pi$
$332$	3.65534	+	2.34914i	0.200613	+	0.128926i
$333$	8.35273	−	58.0945i	0.457727	−	3.18356i
$334$	1.21745	−	8.46752i	0.0666157	−	0.463322i
$335$	11.0764	+	7.11834i	0.605166	+	0.388917i
$336$	1.20965	+	1.39601i	0.0659917	+	0.0761585i
$337$	−10.7220	−	23.4779i	−0.584064	−	1.27892i	−0.938963	−	0.344017i	$-0.888212\pi$
$337$	−10.7220	−	23.4779i	−0.584064	−	1.27892i	0.354899	−	0.934905i	$-0.384515\pi$
$338$	21.8916	−	14.0689i	1.19075	−	0.765248i
$339$	61.0560	+	17.9277i	3.31611	+	0.973697i
$340$	1.46258	−	1.68791i	0.0793197	−	0.0915398i
$341$	14.5392	−	4.26911i	0.787344	−	0.231185i
$342$	−4.42008	+	9.67863i	−0.239011	+	0.523360i
$343$	−1.13910	−	7.92262i	−0.0615056	−	0.427781i
$344$	7.42460			0.400307
$345$	14.9361	−	2.31712i	0.804132	−	0.124749i
$346$	16.0483			0.862762
$347$	−3.90388	−	27.1521i	−0.209572	−	1.45760i	−0.774559	−	0.632502i	$-0.782028\pi$
$347$	−3.90388	−	27.1521i	−0.209572	−	1.45760i	0.564987	−	0.825100i	$-0.308881\pi$
$348$	−0.358606	+	0.785238i	−0.0192233	+	0.0420932i
$349$	−3.41364	+	1.00234i	−0.182728	+	0.0536538i	−0.371816	−	0.928306i	$-0.621265\pi$
$349$	−3.41364	+	1.00234i	−0.182728	+	0.0536538i	0.189088	+	0.981960i	$0.439447\pi$
$350$	0.383815	−	0.442946i	0.0205158	−	0.0236765i
$351$	−74.2926	−	21.8143i	−3.96545	−	1.16436i
$352$	1.43188	−	0.920216i	0.0763197	−	0.0490477i
$353$	5.57039	+	12.1974i	0.296482	+	0.649205i	0.997984	−	0.0634625i	$-0.0202143\pi$
$353$	5.57039	+	12.1974i	0.296482	+	0.649205i	−0.701502	+	0.712667i	$0.747487\pi$
$354$	13.4349	+	15.5047i	0.714059	+	0.824068i
$355$	−6.68399	−	4.29554i	−0.354749	−	0.227983i
$356$	1.52947	−	10.6377i	0.0810617	−	0.563796i
$357$	0.587126	−	4.08355i	0.0310740	−	0.216125i
$358$	−0.743447	−	0.477784i	−0.0392924	−	0.0252517i
$359$	−1.64868	−	1.90267i	−0.0870138	−	0.100419i	0.710573	−	0.703624i	$-0.248436\pi$
$359$	−1.64868	−	1.90267i	−0.0870138	−	0.100419i	−0.797587	+	0.603204i	$0.793890\pi$
$360$	−2.88001	−	6.30635i	−0.151790	−	0.332374i
$361$	−14.0023	+	8.99873i	−0.736963	+	0.473617i
$362$	−5.60445	−	1.64562i	−0.294564	−	0.0864917i
$363$	16.7235	−	19.2999i	0.877756	−	1.01298i
$364$	3.51296	−	1.03150i	0.184129	−	0.0540652i
$365$	−0.596033	+	1.30513i	−0.0311978	+	0.0683137i
$366$	−5.25189	−	36.5277i	−0.274520	−	1.90933i
$367$	30.4898			1.59155			0.795777	−	0.605590i	$-0.207063\pi$
$367$	30.4898			1.59155			0.795777	+	0.605590i	$0.207063\pi$
$368$	1.40218	+	4.58627i	0.0730935	+	0.239076i
$369$	−21.4181			−1.11498
$370$	−1.20480	−	8.37959i	−0.0626348	−	0.435634i
$371$	−2.50442	+	5.48391i	−0.130023	+	0.284711i
$372$	26.9214	−	7.90484i	1.39581	−	0.409847i
$373$	18.5936	−	21.4582i	0.962742	−	1.11106i	−0.0310178	−	0.999519i	$-0.509875\pi$
$373$	18.5936	−	21.4582i	0.962742	−	1.11106i	0.993759	−	0.111544i	$-0.0355797\pi$
$374$	−3.64749	−	1.07100i	−0.188607	−	0.0553801i
$375$	−2.65133	+	1.70391i	−0.136914	+	0.0879894i
$376$	−2.37890	−	5.20906i	−0.122682	−	0.268637i
$377$	1.12048	+	1.29311i	0.0577079	+	0.0665984i
$378$	−6.11146	−	3.92760i	−0.314340	−	0.202014i
$379$	−2.64486	+	18.3954i	−0.135857	+	0.944907i	0.801861	+	0.597510i	$0.203843\pi$
$379$	−2.64486	+	18.3954i	−0.135857	+	0.944907i	−0.937718	+	0.347396i	$0.887066\pi$
$380$	−0.218417	+	1.51912i	−0.0112045	+	0.0779293i
$381$	8.20964	+	5.27601i	0.420592	+	0.270298i
$382$	8.51493	+	9.82675i	0.435662	+	0.502780i
$383$	−3.52909	−	7.72764i	−0.180328	−	0.394864i	0.797784	−	0.602944i	$-0.206006\pi$
$383$	−3.52909	−	7.72764i	−0.180328	−	0.394864i	−0.978112	+	0.208080i	$0.933278\pi$
$384$	2.65133	−	1.70391i	0.135300	−	0.0869522i
$385$	−0.957184	−	0.281055i	−0.0487826	−	0.0143239i
$386$	1.47901	−	1.70687i	0.0752795	−	0.0868772i
$387$	−49.3886	+	14.5018i	−2.51057	+	0.737169i
$388$	1.61411	−	3.53440i	0.0819438	−	0.179432i
$389$	0.843026	+	5.86337i	0.0427431	+	0.297285i	0.999968	+	0.00794138i	$0.00252785\pi$
$389$	0.843026	+	5.86337i	0.0427431	+	0.297285i	−0.957225	+	0.289343i	$0.906563\pi$
$390$	−19.6877			−0.996927
$391$	5.69042	−	9.07455i	0.287777	−	0.458920i
$392$	−6.65649			−0.336203
$393$	1.26098	+	8.77031i	0.0636080	+	0.442404i
$394$	2.47195	−	5.41282i	0.124535	−	0.272694i
$395$	11.3530	−	3.33353i	0.571229	−	0.167728i
$396$	−7.72756	+	8.91808i	−0.388324	+	0.448150i
$397$	10.8547	+	3.18723i	0.544782	+	0.159962i	0.542532	−	0.840035i	$-0.317466\pi$
$397$	10.8547	+	3.18723i	0.544782	+	0.159962i	0.00224971	+	0.999997i	$0.499284\pi$
$398$	−17.3421	+	11.1451i	−0.869280	+	0.558652i
$399$	1.17768	+	2.57876i	0.0589578	+	0.129100i
$400$	−0.654861	−	0.755750i	−0.0327430	−	0.0377875i
$401$	1.87055	+	1.20213i	0.0934106	+	0.0600313i	0.586512	−	0.809940i	$-0.300501\pi$
$401$	1.87055	+	1.20213i	0.0934106	+	0.0600313i	−0.493102	+	0.869972i	$0.664137\pi$
$402$	5.90551	−	41.0737i	0.294540	−	2.04857i
$403$	7.91457	−	55.0471i	0.394253	−	2.74209i
$404$	14.5397	+	9.34412i	0.723379	+	0.464887i
$405$	11.9617	+	13.8045i	0.594380	+	0.685951i
$406$	0.0666889	+	0.146028i	0.00330971	+	0.00724726i
$407$	−12.1220	+	7.79033i	−0.600865	+	0.386152i
$408$	−6.75384	−	1.98311i	−0.334365	−	0.0981783i
$409$	11.5538	−	13.3338i	0.571299	−	0.659315i	−0.394412	−	0.918934i	$-0.629052\pi$
$409$	11.5538	−	13.3338i	0.571299	−	0.659315i	0.965711	+	0.259619i	$0.0835970\pi$
$410$	−2.96423	+	0.870375i	−0.146393	+	0.0429848i
$411$	−15.4021	+	33.7258i	−0.759728	+	1.66357i
$412$	0.220091	+	1.53077i	0.0108431	+	0.0754155i
$413$	3.81524			0.187736
$414$	−18.2853	−	27.7693i	−0.898672	−	1.36479i
$415$	−4.34511			−0.213293
$416$	−0.889014	−	6.18323i	−0.0435875	−	0.303158i
$417$	−21.1274	+	46.2626i	−1.03461	+	2.26549i
$418$	2.50645	−	0.735959i	0.122594	−	0.0359969i
$419$	−0.540649	+	0.623942i	−0.0264124	+	0.0304816i	−0.768802	−	0.639487i	$-0.779147\pi$
$419$	−0.540649	+	0.623942i	−0.0264124	+	0.0304816i	0.742390	+	0.669968i	$0.233692\pi$
$420$	−1.77236	−	0.520412i	−0.0864823	−	0.0253935i
$421$	−15.1693	+	9.74872i	−0.739307	+	0.475124i	−0.855304	−	0.518126i	$-0.826630\pi$
$421$	−15.1693	+	9.74872i	−0.739307	+	0.475124i	0.115998	+	0.993249i	$0.462994\pi$
$422$	0.126000	+	0.275901i	0.00613357	+	0.0134307i
$423$	25.9989	+	30.0043i	1.26411	+	1.45886i
$424$	8.65325	+	5.56110i	0.420239	+	0.270071i
$425$	−0.317850	+	2.21069i	−0.0154180	+	0.107234i
$426$	−3.56366	+	24.7858i	−0.172660	+	1.20088i
$427$	−5.77335	−	3.71030i	−0.279392	−	0.179554i
$428$	2.74669	+	3.16985i	0.132766	+	0.153220i
$429$	13.9206	+	30.4819i	0.672094	+	1.47168i
$430$	−6.24597	+	4.01404i	−0.301207	+	0.193574i
$431$	6.14302	+	1.80375i	0.295899	+	0.0868838i	0.426313	−	0.904576i	$-0.359812\pi$
$431$	6.14302	+	1.80375i	0.295899	+	0.0868838i	−0.130414	+	0.991460i	$0.541631\pi$
$432$	−8.11698	+	9.36749i	−0.390528	+	0.450694i
$433$	19.0903	−	5.60543i	0.917423	−	0.269380i	0.211261	−	0.977430i	$-0.432243\pi$
$433$	19.0903	−	5.60543i	0.917423	−	0.269380i	0.706162	+	0.708050i	$0.250425\pi$
$434$	2.16757	−	4.74633i	0.104047	−	0.227831i
$435$	−0.122853	−	0.854461i	−0.00589035	−	0.0409683i
$436$	20.1253			0.963829
$437$	0.0817639	+	7.35992i	0.00391130	+	0.352072i
$438$	4.52195			0.216067
$439$	3.10998	+	21.6304i	0.148431	+	1.03236i	0.918789	+	0.394750i	$0.129169\pi$
$439$	3.10998	+	21.6304i	0.148431	+	1.03236i	−0.770357	+	0.637612i	$0.779922\pi$
$440$	−0.707071	+	1.54827i	−0.0337083	+	0.0738109i
$441$	44.2791	−	13.0015i	2.10853	−	0.619120i
$442$	−9.13648	+	10.5441i	−0.434578	+	0.501530i
$443$	−8.50110	−	2.49615i	−0.403899	−	0.118596i	0.0734719	−	0.997297i	$-0.476592\pi$
$443$	−8.50110	−	2.49615i	−0.403899	−	0.118596i	−0.477371	+	0.878702i	$0.658410\pi$
$444$	−22.4455	+	14.4249i	−1.06522	+	0.684574i
$445$	4.46450	+	9.77589i	0.211638	+	0.463421i
$446$	8.57027	+	9.89061i	0.405814	+	0.468334i
$447$	−12.6703	−	8.14271i	−0.599285	−	0.385137i
$448$	0.0834109	−	0.580136i	0.00394080	−	0.0274088i
$449$	1.26035	−	8.76591i	0.0594795	−	0.413689i	−0.938228	−	0.346017i	$-0.887534\pi$
$449$	1.26035	−	8.76591i	0.0594795	−	0.413689i	0.997708	−	0.0676717i	$-0.0215571\pi$
$450$	5.83229	+	3.74819i	0.274937	+	0.176691i
$451$	3.44349	+	3.97400i	0.162148	+	0.187129i
$452$	−8.38748	−	18.3660i	−0.394514	−	0.863865i
$453$	14.4639	−	9.29536i	0.679572	−	0.436734i
$454$	20.6572	+	6.06551i	0.969492	+	0.284668i
$455$	−2.39762	+	2.76700i	−0.112402	+	0.129719i
$456$	4.64103	−	1.36273i	0.217336	−	0.0638157i
$457$	3.72783	−	8.16282i	0.174381	−	0.381840i	−0.802180	−	0.597082i	$-0.796327\pi$
$457$	3.72783	−	8.16282i	0.174381	−	0.381840i	0.976561	+	0.215242i	$0.0690539\pi$
$458$	−1.65751	−	11.5282i	−0.0774503	−	0.538679i
$459$	27.6832			1.29214
$460$	−3.65911	−	3.10015i	−0.170607	−	0.144545i
$461$	−17.5927			−0.819374			−0.409687	−	0.912226i	$-0.634362\pi$
$461$	−17.5927			−0.819374			−0.409687	+	0.912226i	$0.634362\pi$
$462$	0.447446	+	3.11206i	0.0208171	+	0.144786i
$463$	−13.9596	+	30.5672i	−0.648757	+	1.42058i	0.243881	+	0.969805i	$0.421579\pi$
$463$	−13.9596	+	30.5672i	−0.648757	+	1.42058i	−0.892638	+	0.450774i	$0.851148\pi$
$464$	0.262809	−	0.0771677i	0.0122006	−	0.00358242i
$465$	−18.3741	+	21.2048i	−0.852076	+	0.983349i
$466$	−14.2972	−	4.19804i	−0.662306	−	0.194471i
$467$	−3.41192	+	2.19271i	−0.157885	+	0.101466i	−0.617198	−	0.786808i	$-0.711732\pi$
$467$	−3.41192	+	2.19271i	−0.157885	+	0.101466i	0.459313	+	0.888275i	$0.348096\pi$
$468$	17.9909	+	39.3946i	0.831630	+	1.82102i
$469$	−5.05349	−	5.83204i	−0.233349	−	0.269299i
$470$	4.81749	+	3.09601i	0.222214	+	0.142808i
$471$	2.44097	−	16.9773i	0.112474	−	0.782274i
$472$	0.926403	−	6.44327i	0.0426411	−	0.296576i
$473$	10.6312	+	6.83223i	0.488821	+	0.314146i
$474$	−24.4204	−	28.1827i	−1.12167	−	1.29447i
$475$	−0.637555	−	1.39605i	−0.0292530	−	0.0640552i
$476$	−1.10121	+	0.707706i	−0.0504740	+	0.0324377i
$477$	−68.4237	−	20.0910i	−3.13290	−	0.919904i
$478$	−9.22524	+	10.6465i	−0.421953	+	0.486959i
$479$	−0.0905902	+	0.0265997i	−0.00413917	+	0.00121537i	−0.283801	−	0.958883i	$-0.591596\pi$
$479$	−0.0905902	+	0.0265997i	−0.00413917	+	0.00121537i	0.279662	+	0.960098i	$0.409777\pi$
$480$	−1.30924	+	2.86684i	−0.0597584	+	0.130853i
$481$	7.52618	+	52.3457i	0.343164	+	2.38676i
$482$	0.805703			0.0366988
$483$	−8.78207	−	1.16325i	−0.399598	−	0.0529297i
$484$	−8.10291			−0.368314
$485$	0.552968	+	3.84598i	0.0251090	+	0.174637i
$486$	8.46735	−	18.5409i	0.384087	−	0.841033i
$487$	15.5293	−	4.55982i	0.703701	−	0.206625i	0.0897443	−	0.995965i	$-0.471395\pi$
$487$	15.5293	−	4.55982i	0.703701	−	0.206625i	0.613957	+	0.789340i	$0.289577\pi$
$488$	−7.66791	+	8.84924i	−0.347110	+	0.400586i
$489$	9.70803	+	2.85054i	0.439012	+	0.128906i
$490$	5.59979	−	3.59877i	0.252973	−	0.162576i
$491$	3.62841	+	7.94511i	0.163748	+	0.358558i	0.973664	−	0.227988i	$-0.0732147\pi$
$491$	3.62841	+	7.94511i	0.163748	+	0.358558i	−0.809916	+	0.586546i	$0.800487\pi$
$492$	6.37611	+	7.35842i	0.287457	+	0.331743i
$493$	−0.514632	−	0.330734i	−0.0231779	−	0.0148955i
$494$	1.36441	−	9.48967i	0.0613876	−	0.426960i
$495$	1.67936	−	11.6802i	0.0754816	−	0.524986i
$496$	−7.48938	−	4.81313i	−0.336283	−	0.216116i
$497$	3.04951	+	3.51932i	0.136789	+	0.157863i
$498$	5.68879	+	12.4567i	0.254921	+	0.558199i
$499$	−9.27457	+	5.96041i	−0.415187	+	0.266824i	−0.731515	−	0.681825i	$-0.761186\pi$
$499$	−9.27457	+	5.96041i	−0.415187	+	0.266824i	0.316328	+	0.948650i	$0.397550\pi$
$500$	0.959493	+	0.281733i	0.0429098	+	0.0125995i
$501$	17.6557	−	20.3758i	0.788800	−	0.910323i
$502$	−17.4473	+	5.12298i	−0.778709	+	0.228650i
$503$	−10.8246	+	23.7026i	−0.482646	+	1.05685i	0.499081	+	0.866555i	$0.333671\pi$
$503$	−10.8246	+	23.7026i	−0.482646	+	1.05685i	−0.981727	+	0.190292i	$0.939056\pi$
$504$	0.578276	+	4.02200i	0.0257585	+	0.179154i
$505$	−17.2834			−0.769102
$506$	−2.21261	+	7.85731i	−0.0983625	+	0.349300i
$507$	82.0141			3.64238
$508$	−0.440666	−	3.06490i	−0.0195514	−	0.135983i
$509$	−5.49248	+	12.0269i	−0.243450	+	0.533081i	−0.991430	−	0.130640i	$-0.958297\pi$
$509$	−5.49248	+	12.0269i	−0.243450	+	0.533081i	0.747980	+	0.663721i	$0.231024\pi$
$510$	6.75384	−	1.98311i	0.299065	−	0.0878134i
$511$	0.550694	−	0.635534i	0.0243613	−	0.0281144i
$512$	−0.959493	−	0.281733i	−0.0424040	−	0.0124509i
$513$	−16.0032	+	10.2847i	−0.706561	+	0.454079i
$514$	−6.67157	−	14.6087i	−0.294270	−	0.644362i
$515$	−1.01275	−	1.16877i	−0.0446270	−	0.0515023i
$516$	19.6851	+	12.6508i	0.866587	+	0.556921i
$517$	1.38715	−	9.64787i	0.0610070	−	0.424313i
$518$	−0.706137	+	4.91129i	−0.0310259	+	0.215790i
$519$	42.5494	+	27.3448i	1.86771	+	1.20030i
$520$	4.09079	+	4.72103i	0.179393	+	0.207031i
$521$	−6.07332	−	13.2987i	−0.266077	−	0.582628i	0.728684	−	0.684850i	$-0.240132\pi$
$521$	−6.07332	−	13.2987i	−0.266077	−	0.582628i	−0.994762	+	0.102222i	$0.967405\pi$
$522$	−1.59749	+	1.02664i	−0.0699201	+	0.0449349i
$523$	−2.22535	−	0.653421i	−0.0973077	−	0.0285721i	0.232716	−	0.972545i	$-0.425239\pi$
$523$	−2.22535	−	0.653421i	−0.0973077	−	0.0285721i	−0.330024	+	0.943973i	$0.607057\pi$
$524$	1.84107	−	2.12471i	0.0804274	−	0.0928182i
$525$	1.77236	−	0.520412i	0.0773521	−	0.0227126i
$526$	3.31318	−	7.25486i	0.144462	−	0.316327i
$527$	2.82970	+	19.6810i	0.123264	+	0.857318i
$528$	5.36436			0.233454
$529$	−19.6203	−	12.0018i	−0.853057	−	0.521818i
$530$	−10.2861			−0.446801
$531$	6.42262	+	44.6703i	0.278718	+	1.93853i
$532$	0.373672	−	0.818228i	0.0162007	−	0.0354747i
$533$	18.5170	−	5.43707i	0.802059	−	0.235506i
$534$	22.1808	−	25.5980i	0.959856	−	1.10773i
$535$	−4.02441	−	1.18167i	−0.173991	−	0.0510882i
$536$	−11.0764	+	7.11834i	−0.478426	+	0.307466i
$537$	−1.15702	−	2.53353i	−0.0499293	−	0.109330i
$538$	−11.8203	−	13.6414i	−0.509610	−	0.588121i
$539$	−9.53131	−	6.12540i	−0.410543	−	0.263840i
$540$	1.76399	−	12.2688i	0.0759100	−	0.527965i
$541$	−1.55679	+	10.8277i	−0.0669318	+	0.465521i	0.928599	+	0.371084i	$0.121014\pi$
$541$	−1.55679	+	10.8277i	−0.0669318	+	0.465521i	−0.995531	+	0.0944363i	$0.969895\pi$
$542$	−19.2183	−	12.3508i	−0.825495	−	0.530514i
$543$	−12.0553	−	13.9125i	−0.517342	−	0.597045i
$544$	0.927799	+	2.03160i	0.0397790	+	0.0871039i
$545$	−16.9305	+	10.8806i	−0.725224	+	0.466073i
$546$	11.0716	+	3.25091i	0.473820	+	0.139126i
$547$	18.8252	−	21.7254i	0.804908	−	0.928913i	−0.193732	−	0.981054i	$-0.562059\pi$
$547$	18.8252	−	21.7254i	0.804908	−	0.928913i	0.998640	+	0.0521415i	$0.0166047\pi$
$548$	11.2876	−	3.31434i	0.482182	−	0.141582i
$549$	33.7227	−	73.8424i	1.43925	−	3.15152i
$550$	−0.242232	−	1.68476i	−0.0103288	−	0.0718384i
$551$	0.420372			0.0179085
$552$	−4.09695	+	14.5489i	−0.174378	+	0.619243i
$553$	−6.93489			−0.294902
$554$	−2.97969	−	20.7242i	−0.126595	−	0.880486i
$555$	11.0837	−	24.2700i	0.470478	−	1.03020i
$556$	15.4835	−	4.54636i	0.656646	−	0.192809i
$557$	4.44923	−	5.13469i	0.188520	−	0.217564i	−0.653620	−	0.756823i	$-0.726750\pi$
$557$	4.44923	−	5.13469i	0.188520	−	0.217564i	0.842140	+	0.539259i	$0.181296\pi$
$558$	59.2206	+	17.3888i	2.50701	+	0.736125i
$559$	39.0174	−	25.0750i	1.65026	−	1.06056i
$560$	0.243475	+	0.533137i	0.0102887	+	0.0225291i
$561$	−7.84582	−	9.05456i	−0.331251	−	0.382284i
$562$	2.42825	+	1.56054i	0.102429	+	0.0658274i
$563$	−5.55049	+	38.6045i	−0.233925	+	1.62698i	0.446932	+	0.894568i	$0.352517\pi$
$563$	−5.55049	+	38.6045i	−0.233925	+	1.62698i	−0.680857	+	0.732417i	$0.738392\pi$
$564$	2.56851	−	17.8644i	0.108154	−	0.752226i
$565$	16.9854	+	10.9159i	0.714582	+	0.459234i
$566$	1.87343	+	2.16205i	0.0787460	+	0.0908777i
$567$	−4.44731	−	9.73825i	−0.186769	−	0.408968i
$568$	6.68399	−	4.29554i	0.280454	−	0.180237i
$569$	−42.6683	−	12.5285i	−1.78875	−	0.525223i	−0.792352	−	0.610065i	$-0.791144\pi$
$569$	−42.6683	−	12.5285i	−1.78875	−	0.525223i	−0.996394	+	0.0848412i	$0.972962\pi$
$570$	−3.16754	+	3.65553i	−0.132674	+	0.153113i
$571$	−0.231157	+	0.0678737i	−0.00967361	+	0.00284043i	−0.286566	−	0.958061i	$-0.592514\pi$
$571$	−0.231157	+	0.0678737i	−0.00967361	+	0.00284043i	0.276892	+	0.960901i	$0.410696\pi$
$572$	4.41694	−	9.67175i	0.184682	−	0.404396i
$573$	5.83202	+	40.5626i	0.243636	+	1.69453i
$574$	1.81068			0.0755764
$575$	4.75431	+	0.629743i	0.198268	+	0.0262621i
$576$	6.93286			0.288869
$577$	1.00718	+	7.00512i	0.0419296	+	0.291627i	0.999987	+	0.00505123i	$0.00160786\pi$
$577$	1.00718	+	7.00512i	0.0419296	+	0.291627i	−0.958058	+	0.286576i	$0.907483\pi$
$578$	−4.98989	+	10.9263i	−0.207552	+	0.454475i
$579$	6.82968	−	2.00538i	0.283832	−	0.0833406i
$580$	−0.179369	+	0.207003i	−0.00744789	+	0.00859532i
$581$	2.44352	+	0.717482i	0.101374	+	0.0297662i
$582$	10.3018	−	6.62057i	0.427024	−	0.274432i
$583$	7.27303	+	15.9257i	0.301218	+	0.659575i
$584$	−0.939588	−	1.08434i	−0.0388804	−	0.0448704i
$585$	−36.4332	−	23.4142i	−1.50633	−	0.968059i
$586$	−0.398161	+	2.76927i	−0.0164479	+	0.114398i
$587$	−3.78442	+	26.3212i	−0.156200	+	1.08639i	0.749357	+	0.662166i	$0.230363\pi$
$587$	−3.78442	+	26.3212i	−0.156200	+	1.08639i	−0.905556	+	0.424226i	$0.860546\pi$
$588$	−17.6485	−	11.3420i	−0.727814	−	0.467738i
$589$	−8.94754	−	10.3260i	−0.368677	−	0.425476i
$590$	2.70416	+	5.92128i	0.111328	+	0.243775i
$591$	15.7769	−	10.1392i	0.648975	−	0.417071i
$592$	8.12284	+	2.38508i	0.333847	+	0.0980262i
$593$	23.9141	−	27.5983i	0.982034	−	1.13333i	−0.00903271	−	0.999959i	$-0.502875\pi$
$593$	23.9141	−	27.5983i	0.982034	−	1.13333i	0.991067	−	0.133368i	$-0.0425793\pi$
$594$	−20.2427	+	5.94379i	−0.830568	+	0.243877i
$595$	0.543784	−	1.19072i	0.0222930	−	0.0488148i
$596$	0.680101	+	4.73020i	0.0278580	+	0.193757i
$597$	−64.9698			−2.65904
$598$	22.8578	+	19.3660i	0.934724	+	0.791936i
$599$	−21.6301			−0.883783			−0.441892	−	0.897068i	$-0.645692\pi$
$599$	−21.6301			−0.883783			−0.441892	+	0.897068i	$0.645692\pi$
$600$	−0.448526	−	3.11956i	−0.0183110	−	0.127356i
$601$	−6.37117	+	13.9509i	−0.259885	+	0.569070i	−0.993928	−	0.110034i	$-0.964904\pi$
$601$	−6.37117	+	13.9509i	−0.259885	+	0.569070i	0.734042	+	0.679104i	$0.237631\pi$
$602$	4.17530	−	1.22598i	0.170172	−	0.0499671i
$603$	59.7766	−	68.9859i	2.43429	−	2.80932i
$604$	−5.23434	−	1.53694i	−0.212982	−	0.0625373i
$605$	6.81660	−	4.38076i	0.277134	−	0.178103i
$606$	22.6281	+	49.5487i	0.919205	+	2.01278i
$607$	−15.9126	−	18.3641i	−0.645871	−	0.745375i	0.334530	−	0.942385i	$-0.391422\pi$
$607$	−15.9126	−	18.3641i	−0.645871	−	0.745375i	−0.980402	+	0.197010i	$0.936877\pi$
$608$	−1.29111	−	0.829745i	−0.0523613	−	0.0336506i
$609$	−0.0720043	+	0.500801i	−0.00291776	+	0.0202935i
$610$	1.66640	−	11.5900i	0.0674704	−	0.469267i
$611$	−30.0939	−	19.3402i	−1.21747	−	0.782421i
$612$	−10.1399	−	11.7020i	−0.409880	−	0.473027i
$613$	−13.9221	−	30.4852i	−0.562309	−	1.23128i	−0.950792	−	0.309829i	$-0.899728\pi$
$613$	−13.9221	−	30.4852i	−0.562309	−	1.23128i	0.388483	−	0.921456i	$-0.372999\pi$
$614$	−24.0536	+	15.4583i	−0.970725	+	0.623847i
$615$	−9.34218	−	2.74311i	−0.376713	−	0.110613i
$616$	0.653285	−	0.753931i	0.0263216	−	0.0303767i
$617$	25.8505	−	7.59040i	1.04070	−	0.305578i	0.283647	−	0.958929i	$-0.408456\pi$
$617$	25.8505	−	7.59040i	1.04070	−	0.305578i	0.757055	+	0.653351i	$0.226637\pi$
$618$	−2.02475	+	4.43359i	−0.0814475	+	0.178345i
$619$	1.09859	+	7.64085i	0.0441560	+	0.307112i	0.999916	+	0.0129639i	$0.00412667\pi$
$619$	1.09859	+	7.64085i	0.0441560	+	0.307112i	−0.955760	+	0.294148i	$0.904964\pi$
$620$	8.90264			0.357539
$621$	−0.660345	−	59.4405i	−0.0264987	−	2.38527i
$622$	−17.2586			−0.692007
$623$	−0.896424	−	6.23476i	−0.0359145	−	0.249791i
$624$	8.17858	−	17.9086i	0.327405	−	0.716917i
$625$	−0.959493	+	0.281733i	−0.0383797	+	0.0112693i
$626$	−19.9457	+	23.0185i	−0.797189	+	0.920005i
$627$	7.89943	+	2.31948i	0.315473	+	0.0926311i
$628$	−4.57828	+	2.94228i	−0.182693	+	0.117410i
$629$	−7.85452	−	17.1990i	−0.313180	−	0.685769i
$630$	−2.66093	−	3.07088i	−0.106014	−	0.122347i
$631$	3.18392	+	2.04618i	0.126750	+	0.0814571i	0.602479	−	0.798134i	$-0.294180\pi$
$631$	3.18392	+	2.04618i	0.126750	+	0.0814571i	−0.475730	+	0.879592i	$0.657816\pi$
$632$	−1.68390	+	11.7118i	−0.0669821	+	0.465871i
$633$	−0.136043	+	0.946197i	−0.00540721	+	0.0376080i
$634$	7.42375	+	4.77096i	0.294835	+	0.189479i
$635$	2.02772	+	2.34012i	0.0804678	+	0.0928647i
$636$	13.4670	+	29.4887i	0.534002	+	1.16930i
$637$	−34.9808	+	22.4808i	−1.38599	+	0.890723i
$638$	0.447323	+	0.131346i	0.0177097	+	0.00520003i
$639$	−36.0720	+	41.6293i	−1.42699	+	1.64683i
$640$	0.959493	−	0.281733i	0.0379273	−	0.0111365i
$641$	−2.97557	+	6.51560i	−0.117528	+	0.257351i	−0.959249	−	0.282562i	$-0.908816\pi$
$641$	−2.97557	+	6.51560i	−0.117528	+	0.257351i	0.841721	+	0.539913i	$0.181543\pi$
$642$	1.88126	+	13.0844i	0.0742473	+	0.516401i
$643$	−42.6671			−1.68263			−0.841313	−	0.540548i	$-0.818217\pi$
$643$	−42.6671			−1.68263			−0.841313	+	0.540548i	$0.818217\pi$
$644$	1.54583	+	2.34760i	0.0609143	+	0.0925086i
$645$	−23.3997			−0.921362
$646$	0.487818	+	3.39285i	0.0191929	+	0.133490i
$647$	8.96510	−	19.6308i	0.352455	−	0.771768i	−0.647498	−	0.762067i	$-0.724185\pi$
$647$	8.96510	−	19.6308i	0.352455	−	0.771768i	0.999953	−	0.00970096i	$-0.00308796\pi$
$648$	−17.5261	+	5.14611i	−0.688489	+	0.202158i
$649$	7.25570	−	8.37353i	0.284811	−	0.328690i
$650$	−5.99377	−	1.75993i	−0.235095	−	0.0690301i
$651$	13.8343	−	8.89074i	0.542207	−	0.348455i
$652$	−1.33363	−	2.92024i	−0.0522289	−	0.114365i
$653$	11.8584	+	13.6854i	0.464056	+	0.535550i	0.938749	−	0.344602i	$-0.111986\pi$
$653$	11.8584	+	13.6854i	0.464056	+	0.535550i	−0.474692	+	0.880152i	$0.657441\pi$
$654$	53.3590	+	34.2917i	2.08650	+	1.34091i
$655$	−0.400102	+	2.78277i	−0.0156333	+	0.108732i
$656$	0.439663	−	3.05792i	0.0171659	−	0.119392i
$657$	8.36811	+	5.37786i	0.326471	+	0.209810i
$658$	−2.19794	−	2.53656i	−0.0856845	−	0.0988852i
$659$	3.38546	+	7.41312i	0.131879	+	0.288774i	0.964039	−	0.265761i	$-0.0856233\pi$
$659$	3.38546	+	7.41312i	0.131879	+	0.288774i	−0.832160	+	0.554535i	$0.812896\pi$
$660$	−4.51279	+	2.90019i	−0.175660	+	0.112890i
$661$	−17.1226	−	5.02766i	−0.665993	−	0.195553i	−0.0687752	−	0.997632i	$-0.521909\pi$
$661$	−17.1226	−	5.02766i	−0.665993	−	0.195553i	−0.597218	+	0.802079i	$0.703727\pi$
$662$	−3.88592	+	4.48459i	−0.151031	+	0.174299i
$663$	−42.1899	+	12.3881i	−1.63852	+	0.481113i
$664$	1.80502	−	3.95245i	0.0700485	−	0.153385i
$665$	0.128014	+	0.890359i	0.00496418	+	0.0345267i
$666$	−58.6919			−2.27427
$667$	−0.697865	+	1.11289i	−0.0270214	+	0.0430912i
$668$	−8.55460			−0.330987
$669$	5.86993	+	40.8262i	0.226944	+	1.57843i
$670$	5.46956	−	11.9767i	0.211307	−	0.462699i
$671$	−19.1228	+	5.61495i	−0.738226	+	0.216763i
$672$	1.20965	−	1.39601i	0.0466632	−	0.0538522i
$673$	−9.19327	−	2.69939i	−0.354375	−	0.104054i	0.0996998	−	0.995018i	$-0.468212\pi$
$673$	−9.19327	−	2.69939i	−0.354375	−	0.104054i	−0.454074	+	0.890964i	$0.650030\pi$
$674$	−21.7130	+	13.9541i	−0.836354	+	0.537492i
$675$	5.14906	+	11.2749i	0.198187	+	0.433970i
$676$	−17.0412	−	19.6666i	−0.655431	−	0.756408i
$677$	−21.3256	−	13.7051i	−0.819610	−	0.526731i	0.0623509	−	0.998054i	$-0.480140\pi$
$677$	−21.3256	−	13.7051i	−0.819610	−	0.526731i	−0.881961	+	0.471323i	$0.843777\pi$
$678$	9.05600	−	62.9859i	0.347794	−	2.41896i
$679$	0.324095	−	2.25413i	0.0124376	−	0.0865056i
$680$	−1.87888	−	1.20748i	−0.0720517	−	0.0463048i
$681$	44.4341	+	51.2797i	1.70272	+	1.96504i
$682$	−6.29480	−	13.7837i	−0.241040	−	0.527805i
$683$	15.7957	−	10.1513i	0.604405	−	0.388427i	−0.202350	−	0.979313i	$-0.564858\pi$
$683$	15.7957	−	10.1513i	0.604405	−	0.388427i	0.806755	+	0.590886i	$0.201222\pi$
$684$	10.2092	+	2.99768i	0.390357	+	0.114619i
$685$	−7.70387	+	8.89074i	−0.294350	+	0.339698i
$686$	−7.67986	+	2.25501i	−0.293219	+	0.0860967i
$687$	15.2484	−	33.3894i	0.581764	−	1.27388i
$688$	−1.05663	−	7.34902i	−0.0402837	−	0.280179i
$689$	64.2555			2.44794
$690$	−4.41916	−	14.4543i	−0.168234	−	0.550266i
$691$	46.2070			1.75780			0.878898	−	0.477010i	$-0.158280\pi$
$691$	46.2070			1.75780			0.878898	+	0.477010i	$0.158280\pi$
$692$	−2.28391	−	15.8850i	−0.0868213	−	0.603856i
$693$	−2.87308	+	6.29117i	−0.109139	+	0.238982i
$694$	−26.3202	+	7.72830i	−0.999100	+	0.293362i
$695$	−10.5676	+	12.1956i	−0.400852	+	0.462607i
$696$	0.828280	+	0.243205i	0.0313959	+	0.00921866i
$697$	−5.80454	+	3.73035i	−0.219863	+	0.141297i
$698$	1.47795	+	3.23625i	0.0559411	+	0.122494i
$699$	−30.7536	−	35.4915i	−1.16321	−	1.34241i
$700$	−0.493060	−	0.316870i	−0.0186359	−	0.0119766i
$701$	−7.07288	+	49.1930i	−0.267139	+	1.85799i	0.208063	+	0.978116i	$0.433284\pi$
$701$	−7.07288	+	49.1930i	−0.267139	+	1.85799i	−0.475202	+	0.879877i	$0.657625\pi$
$702$	−11.0193	+	76.6409i	−0.415897	+	2.89263i
$703$	10.9302	+	7.02442i	0.412241	+	0.264931i
$704$	−1.11463	−	1.28635i	−0.0420091	−	0.0484811i
$705$	7.49744	+	16.4171i	0.282370	+	0.618304i
$706$	11.2805	−	7.24957i	0.424549	−	0.272841i
$707$	9.71950	+	2.85390i	0.365540	+	0.107332i
$708$	13.4349	−	15.5047i	0.504916	−	0.582704i
$709$	5.37148	−	1.57721i	0.201730	−	0.0592333i	−0.179306	−	0.983793i	$-0.557385\pi$
$709$	5.37148	−	1.57721i	0.201730	−	0.0592333i	0.381037	+	0.924560i	$0.375567\pi$
$710$	−3.30058	+	7.22727i	−0.123869	+	0.271235i
$711$	−11.6743	−	81.1963i	−0.437819	−	3.04510i
$712$	−10.7471			−0.402764
$713$	42.1909	−	6.54530i	1.58006	−	0.245124i
$714$	−4.12555			−0.154395
$715$	1.51318	+	10.5244i	0.0565896	+	0.393589i
$716$	−0.367118	+	0.803875i	−0.0137198	+	0.0300422i
$717$	−42.5998	+	12.5084i	−1.59092	+	0.467136i
$718$	−1.64868	+	1.90267i	−0.0615280	+	0.0710071i
$719$	31.2124	+	9.16477i	1.16402	+	0.341788i	0.805995	−	0.591922i	$-0.201631\pi$
$719$	31.2124	+	9.16477i	1.16402	+	0.341788i	0.358029	+	0.933710i	$0.383449\pi$
$720$	−5.83229	+	3.74819i	−0.217357	+	0.139687i
$721$	0.376537	+	0.824501i	0.0140230	+	0.0307060i
$722$	10.8999	+	12.5791i	0.405651	+	0.468146i
$723$	2.13619	+	1.37284i	0.0794456	+	0.0510566i
$724$	−0.831269	+	5.78161i	−0.0308939	+	0.214872i
$725$	0.0389806	−	0.271116i	0.00144770	−	0.0100690i
$726$	−21.4835	−	13.8066i	−0.797328	−	0.512411i
$727$	−3.28289	−	3.78866i	−0.121756	−	0.140514i	0.691599	−	0.722282i	$-0.256907\pi$
$727$	−3.28289	−	3.78866i	−0.121756	−	0.140514i	−0.813355	+	0.581768i	$0.802361\pi$
$728$	−1.52094	−	3.33040i	−0.0563700	−	0.123433i
$729$	7.94286	−	5.10457i	0.294180	−	0.189058i
$730$	1.37667	+	0.404227i	0.0509529	+	0.0149611i
$731$	−10.8591	+	12.5321i	−0.401638	+	0.463515i
$732$	−35.4084	+	10.3969i	−1.30873	+	0.384279i
$733$	−8.26980	+	18.1083i	−0.305452	+	0.668847i	−0.998652	−	0.0518981i	$-0.983473\pi$
$733$	−8.26980	+	18.1083i	−0.305452	+	0.668847i	0.693200	+	0.720745i	$0.256200\pi$
$734$	−4.33915	−	30.1794i	−0.160161	−	1.11394i
$735$	20.9789			0.773817
$736$	4.34004	−	2.04060i	0.159976	−	0.0752175i
$737$	−22.4105			−0.825500
$738$	3.04812	+	21.2001i	0.112203	+	0.780388i
$739$	8.37565	−	18.3401i	0.308103	−	0.674652i	−0.690721	−	0.723121i	$-0.742707\pi$
$739$	8.37565	−	18.3401i	0.308103	−	0.674652i	0.998825	+	0.0484690i	$0.0154342\pi$
$740$	−8.12284	+	2.38508i	−0.298602	+	0.0876773i
$741$	19.7870	−	22.8354i	0.726894	−	0.838880i
$742$	5.78451	+	1.69849i	0.212356	+	0.0623534i
$743$	−31.2553	+	20.0866i	−1.14665	+	0.736905i	−0.968969	−	0.247184i	$-0.920495\pi$
$743$	−31.2553	+	20.0866i	−1.14665	+	0.736905i	−0.177678	+	0.984089i	$0.556858\pi$
$744$	−11.6557	−	25.5224i	−0.427319	−	0.935697i
$745$	−3.12948	−	3.61161i	−0.114655	−	0.132319i
$746$	−23.8859	−	15.3506i	−0.874526	−	0.562024i
$747$	−4.28710	+	29.8174i	−0.156857	+	1.09096i
$748$	−0.541007	+	3.76278i	−0.0197812	+	0.137581i
$749$	2.06805	+	1.32905i	0.0755648	+	0.0485625i
$750$	2.06389	+	2.38185i	0.0753625	+	0.0869730i
$751$	2.65933	+	5.82312i	0.0970404	+	0.212489i	0.951926	−	0.306327i	$-0.0991002\pi$
$751$	2.65933	+	5.82312i	0.0970404	+	0.212489i	−0.854886	+	0.518816i	$0.826373\pi$
$752$	−4.81749	+	3.09601i	−0.175676	+	0.112900i
$753$	−54.9875	−	16.1458i	−2.00386	−	0.588385i
$754$	1.12048	−	1.29311i	0.0408056	−	0.0470922i
$755$	5.23434	−	1.53694i	0.190497	−	0.0559350i
$756$	−3.01787	+	6.60821i	−0.109759	+	0.240338i
$757$	0.512476	+	3.56435i	0.0186263	+	0.129548i	0.997013	−	0.0772355i	$-0.0246093\pi$
$757$	0.512476	+	3.56435i	0.0186263	+	0.129548i	−0.978387	+	0.206784i	$0.933700\pi$
$758$	18.5845			0.675021
$759$	−19.2545	+	17.0623i	−0.698894	+	0.619321i
$760$	1.53474			0.0556710
$761$	−3.15524	−	21.9452i	−0.114377	−	0.795512i	−0.963575	−	0.267437i	$-0.913823\pi$
$761$	−3.15524	−	21.9452i	−0.114377	−	0.795512i	0.849198	−	0.528075i	$-0.177086\pi$
$762$	4.05396	−	8.87693i	0.146859	−	0.321577i
$763$	11.3177	−	3.32317i	0.409728	−	0.120307i
$764$	8.51493	−	9.82675i	0.308059	−	0.355519i
$765$	14.8568	+	4.36235i	0.537149	+	0.157721i
$766$	−7.14674	+	4.59293i	−0.258222	+	0.165949i
$767$	−16.8924	−	36.9891i	−0.609948	−	1.33560i
$768$	−2.06389	−	2.38185i	−0.0744741	−	0.0859477i
$769$	−1.19825	−	0.770067i	−0.0432099	−	0.0277693i	0.518858	−	0.854861i	$-0.326358\pi$
$769$	−1.19825	−	0.770067i	−0.0432099	−	0.0277693i	−0.562067	+	0.827091i	$0.689994\pi$
$770$	−0.141972	+	0.987440i	−0.00511633	+	0.0355849i
$771$	7.20333	−	50.1003i	0.259422	−	1.80432i
$772$	−1.89998	−	1.22104i	−0.0683817	−	0.0439462i
$773$	−4.15042	−	4.78984i	−0.149280	−	0.172278i	0.676184	−	0.736732i	$-0.263632\pi$
$773$	−4.15042	−	4.78984i	−0.149280	−	0.172278i	−0.825465	+	0.564454i	$0.809087\pi$
$774$	21.3829	+	46.8221i	0.768594	+	1.68299i
$775$	−7.48938	+	4.81313i	−0.269026	+	0.172893i
$776$	−3.72813	−	1.09468i	−0.133832	−	0.0392967i
$777$	−10.2406	+	11.8183i	−0.367379	+	0.423978i
$778$	5.68372	−	1.66889i	0.203771	−	0.0598326i
$779$	1.96964	−	4.31291i	0.0705698	−	0.154526i
$780$	2.80186	+	19.4873i	0.100323	+	0.697758i
$781$	13.5235			0.483909
$782$	−9.79202	−	4.34106i	−0.350162	−	0.155236i
$783$	−3.39503			−0.121329
$784$	0.947317	+	6.58873i	0.0338327	+	0.235312i
$785$	2.26078	−	4.95041i	0.0806906	−	0.176688i
$786$	8.50158	−	2.49629i	0.303241	−	0.0890397i
$787$	9.45634	−	10.9132i	0.337082	−	0.389014i	−0.561750	−	0.827307i	$-0.689872\pi$
$787$	9.45634	−	10.9132i	0.337082	−	0.389014i	0.898832	+	0.438294i	$0.144417\pi$
$788$	−5.70952	−	1.67647i	−0.203393	−	0.0597216i
$789$	21.1460	−	13.5897i	0.752816	−	0.483806i
$790$	−4.91529	−	10.7630i	−0.174878	−	0.382930i
$791$	−7.74945	−	8.94335i	−0.275539	−	0.317989i
$792$	9.92705	+	6.37973i	0.352742	+	0.226694i
$793$	−10.4097	+	72.4008i	−0.369658	+	2.57103i
$794$	1.61000	−	11.1978i	0.0571368	−	0.397395i
$795$	−27.2720	−	17.5266i	−0.967236	−	0.621605i
$796$	13.4997	+	15.5795i	0.478483	+	0.552199i
$797$	−12.4488	−	27.2591i	−0.440960	−	0.965567i	−0.991421	−	0.130707i	$-0.958275\pi$
$797$	−12.4488	−	27.2591i	−0.440960	−	0.965567i	0.550461	−	0.834861i	$-0.314452\pi$
$798$	2.38491	−	1.53269i	0.0844250	−	0.0542567i
$799$	12.2718	+	3.60332i	0.434144	+	0.127476i
$800$	−0.654861	+	0.755750i	−0.0231528	+	0.0267198i
$801$	71.4899	−	20.9913i	2.52597	−	0.741692i
$802$	0.923684	−	2.02259i	0.0326164	−	0.0714200i
$803$	−0.347552	−	2.41728i	−0.0122648	−	0.0853038i
$804$	−41.4961			−1.46345
$805$	−2.56965	−	1.13919i	−0.0905681	−	0.0401512i
$806$	−55.6131			−1.95889
$807$	−8.09595	−	56.3085i	−0.284991	−	1.98215i
$808$	7.17979	−	15.7215i	0.252584	−	0.553082i
$809$	30.9522	−	9.08838i	1.08822	−	0.319530i	0.312058	−	0.950063i	$-0.398982\pi$
$809$	30.9522	−	9.08838i	1.08822	−	0.319530i	0.776162	+	0.630533i	$0.217164\pi$
$810$	11.9617	−	13.8045i	0.420290	−	0.485040i
$811$	0.200133	+	0.0587644i	0.00702763	+	0.00206350i	0.285244	−	0.958455i	$-0.407925\pi$
$811$	0.200133	+	0.0587644i	0.00702763	+	0.00206350i	−0.278217	+	0.960518i	$0.589743\pi$
$812$	0.135051	−	0.0867920i	0.00473936	−	0.00304580i
$813$	−29.9093	−	65.4923i	−1.04897	−	2.29692i
$814$	9.43617	+	10.8899i	0.330738	+	0.381692i
$815$	2.70072	+	1.73565i	0.0946020	+	0.0607970i
$816$	−1.00175	+	6.96732i	−0.0350682	+	0.243905i
$817$	1.62166	−	11.2789i	0.0567346	−	0.394598i
$818$	−14.8424	−	9.53862i	−0.518952	−	0.333510i
$819$	16.6224	+	19.1832i	0.580832	+	0.670316i
$820$	1.28337	+	2.81019i	0.0448172	+	0.0981360i
$821$	20.6488	−	13.2702i	0.720648	−	0.463132i	−0.128214	−	0.991746i	$-0.540925\pi$
$821$	20.6488	−	13.2702i	0.720648	−	0.463132i	0.848862	+	0.528614i	$0.177288\pi$
$822$	35.5745	+	10.4456i	1.24080	+	0.364333i
$823$	8.88545	−	10.2544i	0.309727	−	0.357444i	−0.579450	−	0.815008i	$-0.696732\pi$
$823$	8.88545	−	10.2544i	0.309727	−	0.357444i	0.889177	+	0.457564i	$0.151278\pi$
$824$	1.48386	−	0.435702i	0.0516929	−	0.0151784i
$825$	2.22844	−	4.87959i	0.0775842	−	0.169886i
$826$	−0.542966	−	3.77641i	−0.0188922	−	0.131398i
$827$	36.3082			1.26256			0.631280	−	0.775555i	$-0.282530\pi$
$827$	36.3082			1.26256			0.631280	+	0.775555i	$0.282530\pi$
$828$	−24.8844	+	22.0511i	−0.864791	+	0.766330i
$829$	23.1362			0.803555			0.401777	−	0.915737i	$-0.368393\pi$
$829$	23.1362			0.803555			0.401777	+	0.915737i	$0.368393\pi$
$830$	0.618374	+	4.30088i	0.0214641	+	0.149286i
$831$	27.4119	−	60.0238i	0.950910	−	2.08220i
$832$	−5.99377	+	1.75993i	−0.207797	+	0.0610146i
$833$	9.73566	−	11.2356i	0.337321	−	0.389289i
$834$	48.7984	+	14.3285i	1.68975	+	0.496156i
$835$	7.19658	−	4.62496i	0.249048	−	0.160053i
$836$	−1.08517	−	2.37620i	−0.0375315	−	0.0821825i
$837$	72.2626	+	83.3955i	2.49776	+	2.88257i
$838$	0.694534	+	0.446350i	0.0239923	+	0.0154189i
$839$	−2.48982	+	17.3171i	−0.0859582	+	0.597853i	0.900625	+	0.434596i	$0.143109\pi$
$839$	−2.48982	+	17.3171i	−0.0859582	+	0.597853i	−0.986584	+	0.163256i	$0.947800\pi$
$840$	−0.262882	+	1.82838i	−0.00907027	+	0.0630851i
$841$	−24.3332	−	15.6380i	−0.839077	−	0.539242i
$842$	11.8083	+	13.6275i	0.406941	+	0.469635i
$843$	3.77907	+	8.27502i	0.130158	+	0.285007i
$844$	0.255161	−	0.163982i	0.00878301	−	0.00564450i
$845$	24.9686	+	7.33143i	0.858944	+	0.252209i
$846$	25.9989	−	30.0043i	0.893861	−	1.03157i
$847$	−4.55675	+	1.33798i	−0.156572	+	0.0459737i
$848$	4.27301	−	9.35660i	0.146736	−	0.321307i
$849$	1.28314	+	8.92446i	0.0440374	+	0.306287i
$850$	2.23343			0.0766059
$851$	−36.7418	+	17.2752i	−1.25949	+	0.592187i
$852$	25.0407			0.857879
$853$	−0.00779563	−	0.0542198i	−0.000266917	−	0.00185645i	0.989688	−	0.143243i	$-0.0457530\pi$
$853$	−0.00779563	−	0.0542198i	−0.000266917	−	0.00185645i	−0.989954	+	0.141387i	$0.954844\pi$
$854$	−2.85091	+	6.24261i	−0.0975560	+	0.213618i
$855$	−10.2092	+	2.99768i	−0.349146	+	0.102518i
$856$	2.74669	−	3.16985i	0.0938799	−	0.108343i
$857$	30.0882	+	8.83469i	1.02779	+	0.301787i	0.751813	−	0.659376i	$-0.229179\pi$
$857$	30.0882	+	8.83469i	1.02779	+	0.301787i	0.275980	+	0.961163i	$0.410998\pi$
$858$	28.1905	−	18.1170i	0.962409	−	0.618503i
$859$	2.48522	+	5.44186i	0.0847945	+	0.185674i	0.947279	−	0.320409i	$-0.103820\pi$
$859$	2.48522	+	5.44186i	0.0847945	+	0.185674i	−0.862485	+	0.506083i	$0.831093\pi$
$860$	4.86208	+	5.61114i	0.165795	+	0.191338i
$861$	4.80072	+	3.08523i	0.163608	+	0.105145i
$862$	0.911152	−	6.33720i	0.0310339	−	0.215846i
$863$	−7.73420	+	53.7926i	−0.263275	+	1.83112i	0.244522	+	0.969644i	$0.421369\pi$
$863$	−7.73420	+	53.7926i	−0.263275	+	1.83112i	−0.507797	+	0.861477i	$0.669540\pi$
$864$	10.4273	+	6.70123i	0.354744	+	0.227980i
$865$	10.5094	+	12.1285i	0.357331	+	0.412381i
$866$	−8.26521	−	18.0983i	−0.280863	−	0.615005i
$867$	−31.8473	+	20.4670i	−1.08159	+	0.695096i
$868$	−5.00649	−	1.47004i	−0.169931	−	0.0498964i
$869$	−13.1885	+	15.2204i	−0.447391	+	0.516316i
$870$	−0.828280	+	0.243205i	−0.0280813	+	0.00824542i
$871$	−34.1673	+	74.8159i	−1.15771	+	2.53504i
$872$	−2.86413	−	19.9205i	−0.0969918	−	0.674593i
$873$	26.9378			0.911706
$874$	7.27337	−	1.12836i	0.246025	−	0.0381672i
$875$	0.586101			0.0198138
$876$	−0.643540	−	4.47592i	−0.0217432	−	0.151227i
$877$	11.0898	−	24.2833i	0.374476	−	0.819987i	−0.624757	−	0.780819i	$-0.714802\pi$
$877$	11.0898	−	24.2833i	0.374476	−	0.819987i	0.999233	−	0.0391680i	$-0.0124708\pi$
$878$	20.9676	−	6.15665i	0.707623	−	0.207777i
$879$	−5.77424	+	6.66383i	−0.194760	+	0.224765i
$880$	1.63314	+	0.479532i	0.0550530	+	0.0161650i
$881$	16.4728	−	10.5864i	0.554983	−	0.356666i	−0.232891	−	0.972503i	$-0.574818\pi$
$881$	16.4728	−	10.5864i	0.554983	−	0.356666i	0.787873	+	0.615837i	$0.211182\pi$
$882$	−19.1708	−	41.9781i	−0.645513	−	1.41348i
$883$	−27.0780	−	31.2496i	−0.911246	−	1.05163i	−0.998462	−	0.0554444i	$-0.982342\pi$
$883$	−27.0780	−	31.2496i	−0.911246	−	1.05163i	0.0872159	−	0.996189i	$-0.472203\pi$
$884$	11.7370	+	7.54291i	0.394758	+	0.253695i
$885$	−2.91969	+	20.3069i	−0.0981444	+	0.682609i
$886$	−1.26091	+	8.76981i	−0.0423610	+	0.294627i
$887$	28.1181	+	18.0704i	0.944114	+	0.606745i	0.919559	−	0.392953i	$-0.128547\pi$
$887$	28.1181	+	18.0704i	0.944114	+	0.606745i	0.0245557	+	0.999698i	$0.492183\pi$
$888$	17.4724	+	20.1642i	0.586335	+	0.676666i
$889$	−0.753902	−	1.65081i	−0.0252851	−	0.0553665i
$890$	9.04102	−	5.81031i	0.303056	−	0.194762i
$891$	−29.8308	−	8.75912i	−0.999370	−	0.293441i
$892$	8.57027	−	9.89061i	0.286954	−	0.331162i
$893$	−8.43279	+	2.47609i	−0.282192	+	0.0828592i
$894$	−6.25666	+	13.7002i	−0.209254	+	0.458202i
$895$	−0.125769	−	0.874742i	−0.00420399	−	0.0292394i
$896$	−0.586101			−0.0195803
$897$	27.6057	+	90.2933i	0.921726	+	3.01481i
$898$	−8.85606			−0.295530
$899$	−0.347030	−	2.41365i	−0.0115741	−	0.0804997i
$900$	2.88001	−	6.30635i	0.0960005	−	0.210212i
$901$	−22.0427	+	6.47233i	−0.734350	+	0.215625i
$902$	3.44349	−	3.97400i	0.114656	−	0.132320i
$903$	13.1591	+	3.86385i	0.437906	+	0.128581i
$904$	−16.9854	+	10.9159i	−0.564927	+	0.363056i
$905$	−2.42646	−	5.31321i	−0.0806584	−	0.176617i
$906$	−11.2592	−	12.9938i	−0.374061	−	0.431689i
$907$	−6.00754	−	3.86081i	−0.199477	−	0.128196i	0.437089	−	0.899418i	$-0.356009\pi$
$907$	−6.00754	−	3.86081i	−0.199477	−	0.128196i	−0.636566	+	0.771222i	$0.719646\pi$
$908$	3.06394	−	21.3102i	0.101680	−	0.707203i
$909$	−17.0527	+	118.604i	−0.565601	+	3.93384i
$910$	3.08005	+	1.97943i	0.102103	+	0.0656174i
$911$	26.9041	+	31.0490i	0.891374	+	1.02870i	0.999403	+	0.0345525i	$0.0110006\pi$
$911$	26.9041	+	31.0490i	0.891374	+	1.02870i	−0.108029	+	0.994148i	$0.534454\pi$
$912$	−2.00935	−	4.39986i	−0.0665361	−	0.145694i
$913$	6.22170	−	3.99844i	0.205908	−	0.132329i
$914$	−8.61026	−	2.52820i	−0.284802	−	0.0836254i
$915$	24.1665	−	27.8896i	0.798920	−	0.922003i
$916$	−11.1750	+	3.28127i	−0.369232	+	0.108416i
$917$	0.684504	−	1.49885i	0.0226043	−	0.0494965i
$918$	−3.93974	−	27.4015i	−0.130031	−	0.904383i
$919$	1.24485			0.0410639			0.0205319	−	0.999789i	$-0.493464\pi$
$919$	1.24485			0.0410639			0.0205319	+	0.999789i	$0.493464\pi$
$920$	−2.54784	+	4.06306i	−0.0839999	+	0.133955i
$921$	−90.1137			−2.96935
$922$	2.50370	+	17.4136i	0.0824551	+	0.573488i
$923$	20.6181	−	45.1474i	0.678654	−	1.48604i
$924$	3.01670	−	0.885784i	0.0992422	−	0.0291402i
$925$	5.54390	−	6.39800i	0.182282	−	0.210365i
$926$	32.2427	+	9.46732i	1.05956	+	0.311116i
$927$	−9.01969	+	5.79660i	−0.296246	+	0.190385i
$928$	−0.113784	−	0.249152i	−0.00373514	−	0.00817881i
$929$	−24.9616	−	28.8072i	−0.818963	−	0.945133i	0.180297	−	0.983612i	$-0.442294\pi$
$929$	−24.9616	−	28.8072i	−0.818963	−	0.945133i	−0.999259	+	0.0384790i	$0.987749\pi$
$930$	23.6039	+	15.1693i	0.774001	+	0.497420i
$931$	−1.45389	+	10.1120i	−0.0476492	+	0.331408i
$932$	−2.12061	+	14.7491i	−0.0694628	+	0.483124i
$933$	−45.7583	−	29.4070i	−1.49806	−	0.962743i
$934$	2.65596	+	3.06514i	0.0869055	+	0.100294i
$935$	−1.57919	−	3.45795i	−0.0516451	−	0.113087i
$936$	36.4332	−	23.4142i	1.19086	−	0.765318i
$937$	−38.9443	−	11.4351i	−1.27226	−	0.373568i	−0.425213	−	0.905093i	$-0.639801\pi$
$937$	−38.9443	−	11.4351i	−1.27226	−	0.373568i	−0.847042	+	0.531525i	$0.821619\pi$
$938$	−5.05349	+	5.83204i	−0.165002	+	0.190423i
$939$	−92.1040	+	27.0442i	−3.00570	+	0.882553i
$940$	2.37890	−	5.20906i	0.0775911	−	0.169901i
$941$	−6.66893	−	46.3834i	−0.217401	−	1.51206i	−0.747580	−	0.664171i	$-0.768785\pi$
$941$	−6.66893	−	46.3834i	−0.217401	−	1.51206i	0.530179	−	0.847885i	$-0.322125\pi$
$942$	−17.1519			−0.558840
$943$	8.14814	+	12.3743i	0.265340	+	0.402964i
$944$	−6.50953			−0.211867
$945$	−1.03388	−	7.19077i	−0.0336320	−	0.233916i
$946$	5.24972	−	11.4953i	0.170683	−	0.373744i
$947$	−20.3315	+	5.96985i	−0.660683	+	0.193994i	−0.594850	−	0.803836i	$-0.702789\pi$
$947$	−20.3315	+	5.96985i	−0.660683	+	0.193994i	−0.0658331	+	0.997831i	$0.520970\pi$
$948$	−24.4204	+	28.1827i	−0.793138	+	0.915330i
$949$	−8.59980	−	2.52513i	−0.279161	−	0.0819692i
$950$	−1.29111	+	0.829745i	−0.0418891	+	0.0269205i
$951$	11.5536	+	25.2988i	0.374650	+	0.820369i
$952$	0.857222	+	0.989287i	0.0277827	+	0.0320630i
$953$	15.1463	+	9.73394i	0.490637	+	0.315313i	0.762462	−	0.647034i	$-0.223991\pi$
$953$	15.1463	+	9.73394i	0.490637	+	0.315313i	−0.271824	+	0.962347i	$0.587627\pi$
$954$	−10.1488	+	70.5865i	−0.328580	+	2.28532i
$955$	−1.85047	+	12.8703i	−0.0598798	+	0.416473i
$956$	11.8510	+	7.61619i	0.383289	+	0.246325i
$957$	0.962200	+	1.11044i	0.0311035	+	0.0358954i
$958$	0.0392213	+	0.0858826i	0.00126718	+	0.00277474i
$959$	5.80042	−	3.72770i	0.187305	−	0.120374i
$960$	3.02398	+	0.887921i	0.0975985	+	0.0286575i
$961$	−31.6017	+	36.4703i	−1.01941	+	1.17646i
$962$	50.7418	−	14.8992i	1.63598	−	0.480368i
$963$	−12.0797	+	26.4508i	−0.389262	+	0.852365i
$964$	−0.114663	−	0.797502i	−0.00369306	−	0.0256858i
$965$	2.25851			0.0727039
$966$	0.0984092	+	8.85823i	0.00316626	+	0.285009i
$967$	44.5708			1.43330			0.716650	−	0.697433i	$-0.245674\pi$
$967$	44.5708			1.43330			0.716650	+	0.697433i	$0.245674\pi$
$968$	1.15316	+	8.02044i	0.0370641	+	0.257787i
$969$	−4.48773	+	9.82675i	−0.144167	+	0.315681i
$970$	3.72813	−	1.09468i	0.119703	−	0.0351480i
$971$	39.4885	−	45.5721i	1.26725	−	1.46248i	0.442714	−	0.896663i	$-0.354016\pi$
$971$	39.4885	−	45.5721i	1.26725	−	1.46248i	0.824531	−	0.565817i	$-0.191439\pi$
$972$	−19.5572	−	5.74252i	−0.627298	−	0.184191i
$973$	7.95658	−	5.11339i	0.255076	−	0.163928i
$974$	−6.72347	−	14.7223i	−0.215434	−	0.471734i
$975$	−12.8927	−	14.8790i	−0.412897	−	0.476509i
$976$	9.85042	+	6.33048i	0.315304	+	0.202634i
$977$	−0.161337	+	1.12212i	−0.00516162	+	0.0358998i	−0.992239	−	0.124342i	$-0.960318\pi$
$977$	−0.161337	+	1.12212i	−0.00516162	+	0.0358998i	0.987078	+	0.160241i	$0.0512273\pi$
$978$	1.43992	−	10.0149i	0.0460437	−	0.320241i
$979$	−15.3886	−	9.88963i	−0.491821	−	0.316074i
$980$	−4.35907	−	5.03064i	−0.139245	−	0.160698i
$981$	57.9613	+	126.917i	1.85056	+	4.05216i
$982$	7.34787	−	4.72219i	0.234480	−	0.150691i
$983$	33.9881	+	9.97980i	1.08405	+	0.318306i	0.774498	−	0.632576i	$-0.218002\pi$
$983$	33.9881	+	9.97980i	1.08405	+	0.318306i	0.309553	+	0.950882i	$0.399821\pi$
$984$	6.37611	−	7.35842i	0.203263	−	0.234578i
$985$	5.70952	−	1.67647i	0.181920	−	0.0534166i
$986$	−0.254128	+	0.556462i	−0.00809308	+	0.0177214i
$987$	−1.50541	−	10.4703i	−0.0479176	−	0.333274i
$988$	−9.58725			−0.305011
$989$	27.1674	+	23.0173i	0.863874	+	0.731908i
$990$	−11.8003			−0.375038
$991$	3.70584	+	25.7747i	0.117720	+	0.818759i	0.960056	+	0.279807i	$0.0902705\pi$
$991$	3.70584	+	25.7747i	0.117720	+	0.818759i	−0.842337	+	0.538952i	$0.818820\pi$
$992$	−3.69829	+	8.09813i	−0.117421	+	0.257116i
$993$	−17.9442	+	5.26889i	−0.569442	+	0.167203i
$994$	3.04951	−	3.51932i	0.0967247	−	0.111626i
$995$	−19.7795	−	5.80780i	−0.627053	−	0.184120i
$996$	11.5203	−	7.40367i	0.365036	−	0.234594i
$997$	16.5669	+	36.2765i	0.524680	+	1.14889i	0.967637	+	0.252346i	$0.0812022\pi$
$997$	16.5669	+	36.2765i	0.524680	+	1.14889i	−0.442957	+	0.896543i	$0.646070\pi$
$998$	7.21965	+	8.33192i	0.228534	+	0.263742i
$999$	−88.2752	−	56.7310i	−2.79290	−	1.79489i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.g.d.141.3	yes	30
23.8	even	11	inner	230.2.g.d.31.3	✓	30
23.10	odd	22		5290.2.a.bl.1.14		15
23.13	even	11		5290.2.a.bk.1.14		15

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.g.d.31.3	✓	30	23.8	even	11	inner
230.2.g.d.141.3	yes	30	1.1	even	1	trivial
5290.2.a.bk.1.14		15	23.13	even	11
5290.2.a.bl.1.14		15	23.10	odd	22

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.g (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.142315 - 0.989821i) q^{2} +(1.30924 - 2.86684i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-3.02398 - 0.887921i) q^{6} +(-0.493060 + 0.316870i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-4.54006 - 5.23951i) q^{9} +O(q^{10})\)	\(q+(-0.142315 - 0.989821i) q^{2} +(1.30924 - 2.86684i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(0.654861 - 0.755750i) q^{5} +(-3.02398 - 0.887921i) q^{6} +(-0.493060 + 0.316870i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-4.54006 - 5.23951i) q^{9} +(-0.841254 - 0.540641i) q^{10} +(-0.242232 + 1.68476i) q^{11} +(-0.448526 + 3.11956i) q^{12} +(5.25515 + 3.37728i) q^{13} +(0.383815 + 0.442946i) q^{14} +(-1.30924 - 2.86684i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-2.14296 - 0.629229i) q^{17} +(-4.54006 + 5.23951i) q^{18} +(1.47258 - 0.432387i) q^{19} +(-0.415415 + 0.909632i) q^{20} +(0.262882 + 1.82838i) q^{21} +1.70208 q^{22} +(-1.29994 + 4.61629i) q^{23} +3.15164 q^{24} +(-0.142315 - 0.989821i) q^{25} +(2.59502 - 5.68230i) q^{26} +(-11.8929 + 3.49207i) q^{27} +(0.383815 - 0.442946i) q^{28} +(0.262809 + 0.0771677i) q^{29} +(-2.65133 + 1.70391i) q^{30} +(-3.69829 - 8.09813i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(4.51279 + 2.90019i) q^{33} +(-0.317850 + 2.21069i) q^{34} +(-0.0834109 + 0.580136i) q^{35} +(5.83229 + 3.74819i) q^{36} +(5.54390 + 6.39800i) q^{37} +(-0.637555 - 1.39605i) q^{38} +(16.5624 - 10.6440i) q^{39} +(0.959493 + 0.281733i) q^{40} +(2.02311 - 2.33479i) q^{41} +(1.77236 - 0.520412i) q^{42} +(3.08429 - 6.75365i) q^{43} +(-0.242232 - 1.68476i) q^{44} -6.93286 q^{45} +(4.75431 + 0.629743i) q^{46} -5.72656 q^{47} +(-0.448526 - 3.11956i) q^{48} +(-2.76520 + 6.05495i) q^{49} +(-0.959493 + 0.281733i) q^{50} +(-4.60954 + 5.31969i) q^{51} +(-5.99377 - 1.75993i) q^{52} +(8.65325 - 5.56110i) q^{53} +(5.14906 + 11.2749i) q^{54} +(1.11463 + 1.28635i) q^{55} +(-0.493060 - 0.316870i) q^{56} +(0.688372 - 4.78773i) q^{57} +(0.0389806 - 0.271116i) q^{58} +(-5.47617 - 3.51932i) q^{59} +(2.06389 + 2.38185i) q^{60} +(4.86419 + 10.6511i) q^{61} +(-7.48938 + 4.81313i) q^{62} +(3.89876 + 1.14478i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(5.99377 - 1.75993i) q^{65} +(2.22844 - 4.87959i) q^{66} +(1.87379 + 13.0325i) q^{67} +2.23343 q^{68} +(11.5322 + 9.77055i) q^{69} +0.586101 q^{70} +(-1.13073 - 7.86440i) q^{71} +(2.88001 - 6.30635i) q^{72} +(-1.37667 + 0.404227i) q^{73} +(5.54390 - 6.39800i) q^{74} +(-3.02398 - 0.887921i) q^{75} +(-1.29111 + 0.829745i) q^{76} +(-0.414415 - 0.907443i) q^{77} +(-12.8927 - 14.8790i) q^{78} +(9.95391 + 6.39699i) q^{79} +(0.142315 - 0.989821i) q^{80} +(-2.59952 + 18.0800i) q^{81} +(-2.59894 - 1.67024i) q^{82} +(-2.84544 - 3.28382i) q^{83} +(-0.767348 - 1.68026i) q^{84} +(-1.87888 + 1.20748i) q^{85} +(-7.12385 - 2.09175i) q^{86} +(0.565307 - 0.652399i) q^{87} +(-1.63314 + 0.479532i) q^{88} +(-4.46450 + 9.77589i) q^{89} +(0.986649 + 6.86229i) q^{90} -3.66127 q^{91} +(-0.0532753 - 4.79554i) q^{92} -28.0580 q^{93} +(0.814974 + 5.66827i) q^{94} +(0.637555 - 1.39605i) q^{95} +(-3.02398 + 0.887921i) q^{96} +(-2.54448 + 2.93648i) q^{97} +(6.38685 + 1.87535i) q^{98} +(9.92705 - 6.37973i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9}+O(q^{10}) \) 30 * q - 3 * q^2 - q^3 - 3 * q^4 + 3 * q^5 - q^6 + 8 * q^7 - 3 * q^8 + 12 * q^9	\( 30 q - 3 q^{2} - q^{3} - 3 q^{4} + 3 q^{5} - q^{6} + 8 q^{7} - 3 q^{8} + 12 q^{9} + 3 q^{10} - 3 q^{11} - q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} - 26 q^{17} + 12 q^{18} - 25 q^{19} + 3 q^{20} - 11 q^{21} - 14 q^{22} + 14 q^{23} + 10 q^{24} - 3 q^{25} - 10 q^{26} - 52 q^{27} - 3 q^{28} + 4 q^{29} + q^{30} + 5 q^{31} - 3 q^{32} + 9 q^{33} + 7 q^{34} + 3 q^{35} + 12 q^{36} - 20 q^{37} + 19 q^{38} + 41 q^{39} + 3 q^{40} + 32 q^{41} + 22 q^{42} - 46 q^{43} - 3 q^{44} - 56 q^{45} + 3 q^{46} + 80 q^{47} - q^{48} - 41 q^{49} - 3 q^{50} - 34 q^{51} - 21 q^{52} + 29 q^{53} + 47 q^{54} + 3 q^{55} + 8 q^{56} - 33 q^{57} - 7 q^{58} - 3 q^{59} + q^{60} - q^{61} - 28 q^{62} - 8 q^{63} - 3 q^{64} + 21 q^{65} - 46 q^{66} - 63 q^{67} - 4 q^{68} + 78 q^{69} - 8 q^{70} + 55 q^{71} - 32 q^{72} - 36 q^{73} - 20 q^{74} - q^{75} - 3 q^{76} - 9 q^{77} - 80 q^{78} - 29 q^{79} + 3 q^{80} + 15 q^{81} - 23 q^{82} - 63 q^{83} + 4 q^{85} + 31 q^{86} + 63 q^{87} - 3 q^{88} - 95 q^{89} + 10 q^{90} - 12 q^{91} + 14 q^{92} + 126 q^{93} + 3 q^{94} - 19 q^{95} - q^{96} + 11 q^{97} + 58 q^{98} + 97 q^{99}+O(q^{100}) \) 30 * q - 3 * q^2 - q^3 - 3 * q^4 + 3 * q^5 - q^6 + 8 * q^7 - 3 * q^8 + 12 * q^9 + 3 * q^10 - 3 * q^11 - q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 - 26 * q^17 + 12 * q^18 - 25 * q^19 + 3 * q^20 - 11 * q^21 - 14 * q^22 + 14 * q^23 + 10 * q^24 - 3 * q^25 - 10 * q^26 - 52 * q^27 - 3 * q^28 + 4 * q^29 + q^30 + 5 * q^31 - 3 * q^32 + 9 * q^33 + 7 * q^34 + 3 * q^35 + 12 * q^36 - 20 * q^37 + 19 * q^38 + 41 * q^39 + 3 * q^40 + 32 * q^41 + 22 * q^42 - 46 * q^43 - 3 * q^44 - 56 * q^45 + 3 * q^46 + 80 * q^47 - q^48 - 41 * q^49 - 3 * q^50 - 34 * q^51 - 21 * q^52 + 29 * q^53 + 47 * q^54 + 3 * q^55 + 8 * q^56 - 33 * q^57 - 7 * q^58 - 3 * q^59 + q^60 - q^61 - 28 * q^62 - 8 * q^63 - 3 * q^64 + 21 * q^65 - 46 * q^66 - 63 * q^67 - 4 * q^68 + 78 * q^69 - 8 * q^70 + 55 * q^71 - 32 * q^72 - 36 * q^73 - 20 * q^74 - q^75 - 3 * q^76 - 9 * q^77 - 80 * q^78 - 29 * q^79 + 3 * q^80 + 15 * q^81 - 23 * q^82 - 63 * q^83 + 4 * q^85 + 31 * q^86 + 63 * q^87 - 3 * q^88 - 95 * q^89 + 10 * q^90 - 12 * q^91 + 14 * q^92 + 126 * q^93 + 3 * q^94 - 19 * q^95 - q^96 + 11 * q^97 + 58 * q^98 + 97 * q^99

Introduction

L-functions

Modular forms

Varieties

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