LMFDB - Embedded newform 287.2.u.a.8.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [287,2,Mod(8,287)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(287, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

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

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

chi := DirichletCharacter("287.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 287 = 7 \cdot 41 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	287.u (of order $20$, degree $8$, 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:	$2.29170653801$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$20$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.6
Character	$\chi$	$=$	287.8
Dual form			287.2.u.a.36.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.835728 + 1.15028i) q^{2} +(-2.24559 - 2.24559i) q^{3} +(-0.00667062 - 0.0205301i) q^{4} +(3.16801 - 1.02935i) q^{5} +(4.45975 - 0.706356i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-2.67528 - 0.869252i) q^{8} +7.08532i q^{9} +O(q^{10})$	\(q+(-0.835728 + 1.15028i) q^{2} +(-2.24559 - 2.24559i) q^{3} +(-0.00667062 - 0.0205301i) q^{4} +(3.16801 - 1.02935i) q^{5} +(4.45975 - 0.706356i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-2.67528 - 0.869252i) q^{8} +7.08532i q^{9} +(-1.46355 + 4.50436i) q^{10} +(0.467304 - 0.238103i) q^{11} +(-0.0311226 + 0.0610815i) q^{12} +(-0.803630 - 5.07392i) q^{13} +(1.00538 - 1.00538i) q^{14} +(-9.42553 - 4.80255i) q^{15} +(3.27062 - 2.37624i) q^{16} +(0.274188 + 0.538124i) q^{17} +(-8.15011 - 5.92140i) q^{18} +(0.503820 - 3.18099i) q^{19} +(-0.0422652 - 0.0581731i) q^{20} +(1.86665 + 2.56923i) q^{21} +(-0.116653 + 0.736521i) q^{22} +(-6.91591 - 5.02470i) q^{23} +(4.05560 + 7.95956i) q^{24} +(4.93164 - 3.58305i) q^{25} +(6.50805 + 3.31602i) q^{26} +(9.17394 - 9.17394i) q^{27} +(0.00337689 + 0.0213208i) q^{28} +(3.83478 - 7.52619i) q^{29} +(13.4015 - 6.82839i) q^{30} +(-0.183232 + 0.563930i) q^{31} +0.122107i q^{32} +(-1.58405 - 0.514690i) q^{33} +(-0.848140 - 0.134332i) q^{34} +(-3.29003 + 0.521090i) q^{35} +(0.145462 - 0.0472635i) q^{36} +(0.599378 + 1.84470i) q^{37} +(3.23798 + 3.23798i) q^{38} +(-9.58931 + 13.1985i) q^{39} -9.37008 q^{40} +(-2.44392 - 5.91838i) q^{41} -4.51535 q^{42} +(-2.68906 + 3.70117i) q^{43} +(-0.00800549 - 0.00800549i) q^{44} +(7.29327 + 22.4464i) q^{45} +(11.5596 - 3.75595i) q^{46} +(-0.271151 + 0.0429461i) q^{47} +(-12.6805 - 2.00840i) q^{48} +(0.951057 + 0.309017i) q^{49} +8.66723i q^{50} +(0.592692 - 1.82412i) q^{51} +(-0.0988072 + 0.0503448i) q^{52} +(-2.90632 + 5.70397i) q^{53} +(2.88569 + 18.2195i) q^{54} +(1.23533 - 1.23533i) q^{55} +(2.50636 + 1.27706i) q^{56} +(-8.27457 + 6.01183i) q^{57} +(5.45239 + 10.7009i) q^{58} +(-9.34577 - 6.79010i) q^{59} +(-0.0357225 + 0.225543i) q^{60} +(6.17439 + 8.49832i) q^{61} +(-0.495546 - 0.682061i) q^{62} +(1.10839 - 6.99809i) q^{63} +(6.40078 + 4.65044i) q^{64} +(-7.76874 - 15.2470i) q^{65} +(1.91588 - 1.39197i) q^{66} +(6.65035 + 3.38852i) q^{67} +(0.00921872 - 0.00921872i) q^{68} +(4.24687 + 26.8137i) q^{69} +(2.15017 - 4.21995i) q^{70} +(3.05016 - 1.55414i) q^{71} +(6.15893 - 18.9552i) q^{72} -4.11921i q^{73} +(-2.62284 - 0.852211i) q^{74} +(-19.1205 - 3.02839i) q^{75} +(-0.0686668 + 0.0108758i) q^{76} +(-0.498798 + 0.162069i) q^{77} +(-7.16798 - 22.0608i) q^{78} +(5.56987 + 5.56987i) q^{79} +(7.91537 - 10.8946i) q^{80} -19.9458 q^{81} +(8.85025 + 2.13496i) q^{82} +17.3098 q^{83} +(0.0402947 - 0.0554609i) q^{84} +(1.42255 + 1.42255i) q^{85} +(-2.01007 - 6.18635i) q^{86} +(-25.5120 + 8.28937i) q^{87} +(-1.45714 + 0.230789i) q^{88} +(-9.90054 - 1.56809i) q^{89} +(-31.9148 - 10.3698i) q^{90} +5.13717i q^{91} +(-0.0570240 + 0.175502i) q^{92} +(1.67782 - 0.854891i) q^{93} +(0.177208 - 0.347791i) q^{94} +(-1.67825 - 10.5960i) q^{95} +(0.274202 - 0.274202i) q^{96} +(10.8837 + 5.54552i) q^{97} +(-1.15028 + 0.835728i) q^{98} +(1.68704 + 3.31100i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	$ 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) $ 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/287\mathbb{Z}\right)^\times$.

$n$	$206$	$211$
$\chi(n)$	$1$	$e\left(\frac{19}{20}\right)$

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 $

$2$	−0.835728	+	1.15028i	−0.590949	+	0.813371i	−0.994842	−	0.101435i	$-0.967657\pi$
$2$	−0.835728	+	1.15028i	−0.590949	+	0.813371i	0.403893	+	0.914806i	$0.367657\pi$
$3$	−2.24559	−	2.24559i	−1.29649	−	1.29649i	−0.930696	−	0.365795i	$-0.880797\pi$
$3$	−2.24559	−	2.24559i	−1.29649	−	1.29649i	−0.365795	−	0.930696i	$-0.619203\pi$
$4$	−0.00667062	−	0.0205301i	−0.00333531	−	0.0102650i
$5$	3.16801	−	1.02935i	1.41678	−	0.460339i	0.502200	−	0.864751i	$-0.332524\pi$
$5$	3.16801	−	1.02935i	1.41678	−	0.460339i	0.914577	+	0.404412i	$0.132524\pi$
$6$	4.45975	−	0.706356i	1.82069	−	0.288369i
$7$	−0.987688	−	0.156434i	−0.373311	−	0.0591267i
$7$	−0.987688	−	0.156434i	−0.373311	−	0.0591267i
$8$	−2.67528	−	0.869252i	−0.945855	−	0.307327i
$9$			7.08532i			2.36177i
$10$	−1.46355	+	4.50436i	−0.462816	+	1.42440i
$11$	0.467304	−	0.238103i	0.140898	−	0.0717909i	−0.382120	−	0.924113i	$-0.624806\pi$
$11$	0.467304	−	0.238103i	0.140898	−	0.0717909i	0.523018	+	0.852322i	$0.324806\pi$
$12$	−0.0311226	+	0.0610815i	−0.00898432	+	0.0176327i
$13$	−0.803630	−	5.07392i	−0.222887	−	1.40725i	−0.804580	−	0.593844i	$-0.797610\pi$
$13$	−0.803630	−	5.07392i	−0.222887	−	1.40725i	0.581693	−	0.813408i	$-0.302390\pi$
$14$	1.00538	−	1.00538i	0.268700	−	0.268700i
$15$	−9.42553	−	4.80255i	−2.43366	−	1.24001i
$16$	3.27062	−	2.37624i	0.817655	−	0.594061i
$17$	0.274188	+	0.538124i	0.0665003	+	0.130514i	0.921864	−	0.387514i	$-0.126666\pi$
$17$	0.274188	+	0.538124i	0.0665003	+	0.130514i	−0.855363	+	0.518028i	$0.826666\pi$
$18$	−8.15011	−	5.92140i	−1.92100	−	1.39569i
$19$	0.503820	−	3.18099i	0.115584	−	0.729770i	−0.860024	−	0.510253i	$-0.829552\pi$
$19$	0.503820	−	3.18099i	0.115584	−	0.729770i	0.975609	−	0.219517i	$-0.0704482\pi$
$20$	−0.0422652	−	0.0581731i	−0.00945079	−	0.0130079i
$21$	1.86665	+	2.56923i	0.407337	+	0.560651i
$22$	−0.116653	+	0.736521i	−0.0248706	+	0.157027i
$23$	−6.91591	−	5.02470i	−1.44207	−	1.04772i	−0.987606	−	0.156956i	$-0.949832\pi$
$23$	−6.91591	−	5.02470i	−1.44207	−	1.04772i	−0.454461	−	0.890767i	$-0.650168\pi$
$24$	4.05560	+	7.95956i	0.827845	+	1.62474i
$25$	4.93164	−	3.58305i	0.986329	−	0.716610i
$26$	6.50805	+	3.31602i	1.27633	+	0.650324i
$27$	9.17394	−	9.17394i	1.76553	−	1.76553i
$28$	0.00337689	+	0.0213208i	0.000638172	+	0.00402926i
$29$	3.83478	−	7.52619i	0.712101	−	1.39758i	−0.196748	−	0.980454i	$-0.563038\pi$
$29$	3.83478	−	7.52619i	0.712101	−	1.39758i	0.908850	−	0.417124i	$-0.136962\pi$
$30$	13.4015	−	6.82839i	2.44676	−	1.24669i
$31$	−0.183232	+	0.563930i	−0.0329095	+	0.101285i	−0.966162	−	0.257936i	$-0.916958\pi$
$31$	−0.183232	+	0.563930i	−0.0329095	+	0.101285i	0.933253	+	0.359221i	$0.116958\pi$
$32$			0.122107i			0.0215857i
$33$	−1.58405	−	0.514690i	−0.275748	−	0.0895961i
$34$	−0.848140	−	0.134332i	−0.145455	−	0.0230378i
$35$	−3.29003	+	0.521090i	−0.556117	+	0.0880803i
$36$	0.145462	−	0.0472635i	0.0242437	−	0.00787725i
$37$	0.599378	+	1.84470i	0.0985372	+	0.303266i	0.988159	−	0.153431i	$-0.0490323\pi$
$37$	0.599378	+	1.84470i	0.0985372	+	0.303266i	−0.889622	+	0.456697i	$0.849032\pi$
$38$	3.23798	+	3.23798i	0.525270	+	0.525270i
$39$	−9.58931	+	13.1985i	−1.53552	+	2.11346i
$40$	−9.37008			−1.48154
$41$	−2.44392	−	5.91838i	−0.381677	−	0.924296i
$41$	−2.44392	−	5.91838i	−0.381677	−	0.924296i
$42$	−4.51535			−0.696733
$43$	−2.68906	+	3.70117i	−0.410078	+	0.564424i	−0.963237	−	0.268652i	$-0.913422\pi$
$43$	−2.68906	+	3.70117i	−0.410078	+	0.564424i	0.553160	+	0.833075i	$0.313422\pi$
$44$	−0.00800549	−	0.00800549i	−0.00120687	−	0.00120687i
$45$	7.29327	+	22.4464i	1.08722	+	3.34611i
$46$	11.5596	−	3.75595i	1.70438	−	0.553785i
$47$	−0.271151	+	0.0429461i	−0.0395514	+	0.00626433i	−0.176179	−	0.984358i	$-0.556374\pi$
$47$	−0.271151	+	0.0429461i	−0.0395514	+	0.00626433i	0.136627	+	0.990623i	$0.456374\pi$
$48$	−12.6805	−	2.00840i	−1.83028	−	0.289887i
$49$	0.951057	+	0.309017i	0.135865	+	0.0441453i
$50$			8.66723i			1.22573i
$51$	0.592692	−	1.82412i	0.0829934	−	0.255428i
$52$	−0.0988072	+	0.0503448i	−0.0137021	+	0.00698156i
$53$	−2.90632	+	5.70397i	−0.399213	+	0.783500i	−0.999872	−	0.0160054i	$-0.994905\pi$
$53$	−2.90632	+	5.70397i	−0.399213	+	0.783500i	0.600659	+	0.799506i	$0.294905\pi$
$54$	2.88569	+	18.2195i	0.392693	+	2.47936i
$55$	1.23533	−	1.23533i	0.166572	−	0.166572i
$56$	2.50636	+	1.27706i	0.334927	+	0.170654i
$57$	−8.27457	+	6.01183i	−1.09599	+	0.796286i
$58$	5.45239	+	10.7009i	0.715934	+	1.40510i
$59$	−9.34577	−	6.79010i	−1.21672	−	0.883996i	−0.220893	−	0.975298i	$-0.570897\pi$
$59$	−9.34577	−	6.79010i	−1.21672	−	0.883996i	−0.995823	+	0.0913022i	$0.970897\pi$
$60$	−0.0357225	+	0.225543i	−0.00461175	+	0.0291175i
$61$	6.17439	+	8.49832i	0.790550	+	1.08810i	0.994039	+	0.109021i	$0.0347716\pi$
$61$	6.17439	+	8.49832i	0.790550	+	1.08810i	−0.203490	+	0.979077i	$0.565228\pi$
$62$	−0.495546	−	0.682061i	−0.0629344	−	0.0866218i
$63$	1.10839	−	6.99809i	0.139644	−	0.881676i
$64$	6.40078	+	4.65044i	0.800098	+	0.581305i
$65$	−7.76874	−	15.2470i	−0.963594	−	1.89116i
$66$	1.91588	−	1.39197i	0.235828	−	0.171339i
$67$	6.65035	+	3.38852i	0.812470	+	0.413974i	0.810294	−	0.586024i	$-0.199307\pi$
$67$	6.65035	+	3.38852i	0.812470	+	0.413974i	0.00217582	+	0.999998i	$0.499307\pi$
$68$	0.00921872	−	0.00921872i	0.00111793	−	0.00111793i
$69$	4.24687	+	26.8137i	0.511263	+	3.22799i
$70$	2.15017	−	4.21995i	0.256995	−	0.504380i
$71$	3.05016	−	1.55414i	0.361988	−	0.184442i	−0.263531	−	0.964651i	$-0.584887\pi$
$71$	3.05016	−	1.55414i	0.361988	−	0.184442i	0.625519	+	0.780209i	$0.284887\pi$
$72$	6.15893	−	18.9552i	0.725837	−	2.23390i
$73$		−	4.11921i		−	0.482117i	−0.970511	−	0.241059i	$-0.922505\pi$
$73$		−	4.11921i		−	0.482117i	0.970511	−	0.241059i	$-0.0774946\pi$
$74$	−2.62284	−	0.852211i	−0.304898	−	0.0990675i
$75$	−19.1205	−	3.02839i	−2.20784	−	0.349688i
$76$	−0.0686668	+	0.0108758i	−0.00787662	+	0.00124753i
$77$	−0.498798	+	0.162069i	−0.0568434	+	0.0184695i
$78$	−7.16798	−	22.0608i	−0.811614	−	2.49789i
$79$	5.56987	+	5.56987i	0.626660	+	0.626660i	0.947226	−	0.320566i	$-0.103873\pi$
$79$	5.56987	+	5.56987i	0.626660	+	0.626660i	−0.320566	+	0.947226i	$0.603873\pi$
$80$	7.91537	−	10.8946i	0.884965	−	1.21805i
$81$	−19.9458			−2.21620
$82$	8.85025	+	2.13496i	0.977347	+	0.235767i
$83$	17.3098			1.90000			0.950000	−	0.312250i	$-0.101083\pi$
$83$	17.3098			1.90000			0.950000	+	0.312250i	$0.101083\pi$
$84$	0.0402947	−	0.0554609i	0.00439651	−	0.00605128i
$85$	1.42255	+	1.42255i	0.154297	+	0.154297i
$86$	−2.01007	−	6.18635i	−0.216751	−	0.667091i
$87$	−25.5120	+	8.28937i	−2.73518	+	0.888713i
$88$	−1.45714	+	0.230789i	−0.155332	+	0.0246022i
$89$	−9.90054	−	1.56809i	−1.04945	−	0.166217i	−0.392195	−	0.919882i	$-0.628284\pi$
$89$	−9.90054	−	1.56809i	−1.04945	−	0.166217i	−0.657259	+	0.753665i	$0.728284\pi$
$90$	−31.9148	−	10.3698i	−3.36412	−	1.09307i
$91$			5.13717i			0.538521i
$92$	−0.0570240	+	0.175502i	−0.00594517	+	0.0182973i
$93$	1.67782	−	0.854891i	0.173982	−	0.0886481i
$94$	0.177208	−	0.347791i	0.0182776	−	0.0358719i
$95$	−1.67825	−	10.5960i	−0.172184	−	1.08713i
$96$	0.274202	−	0.274202i	0.0279856	−	0.0279856i
$97$	10.8837	+	5.54552i	1.10507	+	0.563062i	0.908693	−	0.417466i	$-0.137082\pi$
$97$	10.8837	+	5.54552i	1.10507	+	0.563062i	0.196379	+	0.980528i	$0.437082\pi$
$98$	−1.15028	+	0.835728i	−0.116196	+	0.0844213i
$99$	1.68704	+	3.31100i	0.169554	+	0.332768i
$100$	−0.106457	−	0.0773458i	−0.0106457	−	0.00773458i
$101$	−1.14119	+	7.20518i	−0.113553	+	0.716942i	0.863564	+	0.504239i	$0.168227\pi$
$101$	−1.14119	+	7.20518i	−0.113553	+	0.716942i	−0.977117	+	0.212704i	$0.931773\pi$
$102$	1.60292	+	2.20623i	0.158713	+	0.218449i
$103$	6.01033	+	8.27250i	0.592215	+	0.815114i	0.994968	−	0.100195i	$-0.0319466\pi$
$103$	6.01033	+	8.27250i	0.592215	+	0.815114i	−0.402753	+	0.915309i	$0.631947\pi$
$104$	−2.26058	+	14.2727i	−0.221668	+	1.39956i
$105$	8.55821	+	6.21790i	0.835195	+	0.606805i
$106$	−4.13227	−	8.11005i	−0.401362	−	0.787717i
$107$	9.68294	−	7.03507i	0.936085	−	0.680106i	−0.0113897	−	0.999935i	$-0.503626\pi$
$107$	9.68294	−	7.03507i	0.936085	−	0.680106i	0.947475	+	0.319829i	$0.103626\pi$
$108$	−0.249538	−	0.127146i	−0.0240118	−	0.0122346i
$109$	7.27137	−	7.27137i	0.696471	−	0.696471i	−0.267176	−	0.963648i	$-0.586091\pi$
$109$	7.27137	−	7.27137i	0.696471	−	0.696471i	0.963648	+	0.267176i	$0.0860906\pi$
$110$	0.388577	+	2.45338i	0.0370494	+	0.233921i
$111$	2.79647	−	5.48838i	0.265429	−	0.520934i
$112$	−3.60208	+	1.83535i	−0.340364	+	0.173424i
$113$	−1.06510	+	3.27804i	−0.100196	+	0.308372i	−0.988573	−	0.150743i	$-0.951833\pi$
$113$	−1.06510	+	3.27804i	−0.100196	+	0.308372i	0.888377	+	0.459115i	$0.151833\pi$
$114$		−	14.5423i		−	1.36201i
$115$	−27.0818	−	8.79942i	−2.52539	−	0.820550i
$116$	−0.180094	−	0.0285240i	−0.0167213	−	0.00264839i
$117$	35.9503	−	5.69398i	3.32361	−	0.526408i
$118$	15.6210	−	5.07558i	1.43803	−	0.467245i
$119$	−0.186631	−	0.574391i	−0.0171084	−	0.0526544i
$120$	21.0413	+	21.0413i	1.92080	+	1.92080i
$121$	−6.30396	+	8.67665i	−0.573087	+	0.788787i
$122$	−14.9356			−1.35220
$123$	−7.80220	+	18.7783i	−0.703501	+	1.69318i
$124$	0.0127998			0.00114946
$125$	2.14560	−	2.95317i	0.191908	−	0.264139i
$126$	7.12346	+	7.12346i	0.634608	+	0.634608i
$127$	−1.15099	−	3.54239i	−0.102134	−	0.314337i	0.886913	−	0.461937i	$-0.152845\pi$
$127$	−1.15099	−	3.54239i	−0.102134	−	0.314337i	−0.989047	+	0.147600i	$0.952845\pi$
$128$	−10.9309	+	3.55166i	−0.966163	+	0.313925i
$129$	14.3498	−	2.27279i	1.26343	−	0.200108i
$130$	24.0309	+	3.80612i	2.10765	+	0.333819i
$131$	−3.98758	−	1.29564i	−0.348396	−	0.113201i	0.129591	−	0.991568i	$-0.458634\pi$
$131$	−3.98758	−	1.29564i	−0.348396	−	0.113201i	−0.477987	+	0.878367i	$0.658634\pi$
$132$			0.0359540i			0.00312940i
$133$	−0.995234	+	3.06302i	−0.0862978	+	0.265597i
$134$	−9.45564	+	4.81789i	−0.816843	+	0.416202i
$135$	19.6200	−	38.5063i	1.68862	−	3.31410i
$136$	−0.265765	−	1.67797i	−0.0227891	−	0.143885i
$137$	1.98157	−	1.98157i	0.169297	−	0.169297i	−0.617373	−	0.786670i	$-0.711803\pi$
$137$	1.98157	−	1.98157i	0.169297	−	0.169297i	0.786670	+	0.617373i	$0.211803\pi$
$138$	−34.3925	−	17.5238i	−2.92768	−	1.49173i
$139$	5.80808	−	4.21982i	0.492635	−	0.357920i	−0.313562	−	0.949568i	$-0.601522\pi$
$139$	5.80808	−	4.21982i	0.492635	−	0.357920i	0.806197	+	0.591647i	$0.201522\pi$
$140$	0.0326446	+	0.0640686i	0.00275897	+	0.00541478i
$141$	0.705332	+	0.512454i	0.0593997	+	0.0431564i
$142$	−0.761414	+	4.80738i	−0.0638964	+	0.403426i
$143$	−1.58366	−	2.17972i	−0.132432	−	0.182277i
$144$	16.8364	+	23.1734i	1.40304	+	1.93112i
$145$	4.40156	−	27.7904i	0.365530	−	2.30786i
$146$	4.73825	+	3.44254i	0.392140	+	0.284907i
$147$	−1.44176	−	2.82960i	−0.118914	−	0.233382i
$148$	0.0338735	−	0.0246106i	0.00278439	−	0.00202297i
$149$	−10.2787	−	5.23728i	−0.842067	−	0.429055i	−0.0209270	−	0.999781i	$-0.506662\pi$
$149$	−10.2787	−	5.23728i	−0.842067	−	0.429055i	−0.821140	+	0.570726i	$0.806662\pi$
$150$	19.4630	−	19.4630i	1.58915	−	1.58915i
$151$	1.18281	+	7.46795i	0.0962555	+	0.607733i	0.987911	+	0.155020i	$0.0495440\pi$
$151$	1.18281	+	7.46795i	0.0962555	+	0.607733i	−0.891656	+	0.452714i	$0.850456\pi$
$152$	−4.11295	+	8.07211i	−0.333604	+	0.654735i
$153$	−3.81278	+	1.94271i	−0.308245	+	0.157059i
$154$	0.230434	−	0.709204i	0.0185689	−	0.0571493i
$155$			1.97515i			0.158648i
$156$	0.334934	+	0.108827i	0.0268162	+	0.00871310i
$157$	−4.73627	−	0.750151i	−0.377995	−	0.0598686i	−0.0354540	−	0.999371i	$-0.511288\pi$
$157$	−4.73627	−	0.750151i	−0.377995	−	0.0598686i	−0.342541	+	0.939503i	$0.611288\pi$
$158$	−11.0618	+	1.75202i	−0.880031	+	0.139383i
$159$	19.3351	−	6.28237i	1.53338	−	0.498224i
$160$	0.125691	+	0.386836i	0.00993671	+	0.0305821i
$161$	6.04473	+	6.04473i	0.476391	+	0.476391i
$162$	16.6693	−	22.9433i	1.30966	−	1.80259i
$163$	−9.08263			−0.711406			−0.355703	−	0.934599i	$-0.615759\pi$
$163$	−9.08263			−0.711406			−0.355703	+	0.934599i	$0.615759\pi$
$164$	−0.105202	+	0.0896532i	−0.00821492	+	0.00700074i
$165$	−5.54810			−0.431919
$166$	−14.4663	+	19.9112i	−1.12280	+	1.54541i
$167$	−1.57052	−	1.57052i	−0.121530	−	0.121530i	0.643726	−	0.765256i	$-0.277388\pi$
$167$	−1.57052	−	1.57052i	−0.121530	−	0.121530i	−0.765256	+	0.643726i	$0.777388\pi$
$168$	−2.76052	−	8.49600i	−0.212979	−	0.655480i
$169$	−12.7351	+	4.13789i	−0.979623	+	0.318299i
$170$	−2.82519	+	0.447466i	−0.216682	+	0.0343191i
$171$	22.5384	+	3.56973i	1.72355	+	0.272984i
$172$	0.0939230	+	0.0305174i	0.00716156	+	0.00232693i
$173$			4.23991i			0.322354i	0.986926	+	0.161177i	$0.0515290\pi$
$173$			4.23991i			0.322354i	−0.986926	+	0.161177i	$0.948471\pi$
$174$	11.7860	−	36.2737i	0.893497	−	2.74990i
$175$	−5.43144	+	2.76746i	−0.410578	+	0.209200i
$176$	0.962582	−	1.88917i	0.0725574	−	0.142402i
$177$	5.73898	+	36.2345i	0.431368	+	2.72355i
$178$	10.0779	−	10.0779i	0.755370	−	0.755370i
$179$	−7.40425	−	3.77266i	−0.553420	−	0.281982i	0.154833	−	0.987941i	$-0.450516\pi$
$179$	−7.40425	−	3.77266i	−0.553420	−	0.281982i	−0.708253	+	0.705959i	$0.750516\pi$
$180$	0.412175	−	0.299463i	0.0307217	−	0.0223206i
$181$	−7.83355	−	15.3742i	−0.582263	−	1.14276i	−0.974813	−	0.223025i	$-0.928407\pi$
$181$	−7.83355	−	15.3742i	−0.582263	−	1.14276i	0.392550	−	0.919731i	$-0.371593\pi$
$182$	−5.90918	−	4.29327i	−0.438018	−	0.318239i
$183$	5.21858	−	32.9488i	0.385769	−	2.43565i
$184$	14.1343	+	19.4542i	1.04199	+	1.43418i
$185$	3.79767	+	5.22705i	0.279210	+	0.384300i
$186$	−0.418835	+	2.64442i	−0.0307104	+	0.193898i
$187$	0.256258	+	0.186183i	0.0187395	+	0.0136150i
$188$	0.00269043	+	0.00528027i	0.000196220	+	0.000385103i
$189$	−10.4961	+	7.62588i	−0.763480	+	0.554701i
$190$	13.5910	+	6.92494i	0.985992	+	0.502388i
$191$	−13.4768	+	13.4768i	−0.975145	+	0.975145i	−0.999699	−	0.0245533i	$-0.992184\pi$
$191$	−13.4768	+	13.4768i	−0.975145	+	0.975145i	0.0245533	+	0.999699i	$0.492184\pi$
$192$	−3.93054	−	24.8165i	−0.283663	−	1.79097i
$193$	−5.59692	+	10.9846i	−0.402875	+	0.790686i	−0.999934	−	0.0115110i	$-0.996336\pi$
$193$	−5.59692	+	10.9846i	−0.402875	+	0.790686i	0.597059	+	0.802197i	$0.296336\pi$
$194$	−15.4747	+	7.88476i	−1.11102	+	0.566093i
$195$	−16.7931	+	51.6839i	−1.20258	+	3.70116i
$196$		−	0.0215866i		−	0.00154190i
$197$	21.0495	+	6.83939i	1.49971	+	0.487286i	0.939934	−	0.341355i	$-0.110886\pi$
$197$	21.0495	+	6.83939i	1.49971	+	0.487286i	0.559779	+	0.828642i	$0.310886\pi$
$198$	−5.21849	−	0.826527i	−0.370862	−	0.0587387i
$199$	15.9243	−	2.52217i	1.12885	−	0.178792i	0.436049	−	0.899923i	$-0.356378\pi$
$199$	15.9243	−	2.52217i	1.12885	−	0.178792i	0.692798	+	0.721131i	$0.256378\pi$
$200$	−16.3081	+	5.29883i	−1.15316	+	0.374684i
$201$	−7.32472	−	22.5432i	−0.516646	−	1.59007i
$202$	−7.33426	−	7.33426i	−0.516037	−	0.516037i
$203$	−4.96493	+	6.83363i	−0.348469	+	0.479627i
$204$	−0.0414029			−0.00289878
$205$	−13.8345	−	16.2338i	−0.966240	−	1.13382i
$206$	−14.5387			−1.01296
$207$	35.6016	−	49.0014i	2.47448	−	3.40583i
$208$	−14.6852	−	14.6852i	−1.01824	−	1.01824i
$209$	−0.521968	−	1.60645i	−0.0361053	−	0.111121i
$210$	−14.3047	+	4.64787i	−0.987115	+	0.320733i
$211$	8.91076	−	1.41133i	0.613442	−	0.0971596i	0.158021	−	0.987436i	$-0.449489\pi$
$211$	8.91076	−	1.41133i	0.613442	−	0.0971596i	0.455421	+	0.890276i	$0.349489\pi$
$212$	0.136490	+	0.0216179i	0.00937416	+	0.00148472i
$213$	−10.3394	−	3.35946i	−0.708441	−	0.230186i
$214$			17.0175i			1.16329i
$215$	−4.70917	+	14.4933i	−0.321163	+	0.988437i
$216$	−32.5174	+	16.5684i	−2.21253	+	1.12734i
$217$	0.269194	−	0.528324i	0.0182741	−	0.0358649i
$218$	2.28723	+	14.4410i	0.154911	+	0.978069i
$219$	−9.25005	+	9.25005i	−0.625060	+	0.625060i
$220$	−0.0336019	−	0.0171210i	−0.00226544	−	0.00115430i
$221$	2.51005	−	1.82366i	0.168844	−	0.122673i
$222$	3.97609	+	7.80352i	0.266858	+	0.523738i
$223$	−7.07282	−	5.13870i	−0.473631	−	0.344113i	0.325224	−	0.945637i	$-0.394560\pi$
$223$	−7.07282	−	5.13870i	−0.473631	−	0.344113i	−0.798855	+	0.601524i	$0.794560\pi$
$224$	0.0191017	−	0.120604i	0.00127629	−	0.00805816i
$225$	25.3871	+	34.9423i	1.69247	+	2.32949i
$226$	−2.88053	−	3.96471i	−0.191610	−	0.263728i
$227$	0.0833004	−	0.525938i	0.00552885	−	0.0349078i	−0.984770	−	0.173864i	$-0.944375\pi$
$227$	0.0833004	−	0.525938i	0.00552885	−	0.0349078i	0.990299	+	0.138956i	$0.0443747\pi$
$228$	0.178620	+	0.129775i	0.0118294	+	0.00859455i
$229$	−8.37265	−	16.4322i	−0.553280	−	1.08587i	−0.983119	−	0.182968i	$-0.941430\pi$
$229$	−8.37265	−	16.4322i	−0.553280	−	1.08587i	0.429839	−	0.902906i	$-0.358570\pi$
$230$	32.7549	−	23.7978i	2.15979	−	1.56918i
$231$	1.48404	+	0.756154i	0.0976424	+	0.0497513i
$232$	−16.8013	+	16.8013i	−1.10306	+	1.10306i
$233$	−4.45682	−	28.1393i	−0.291976	−	1.84346i	−0.500866	−	0.865525i	$-0.666985\pi$
$233$	−4.45682	−	28.1393i	−0.291976	−	1.84346i	0.208890	−	0.977939i	$-0.433015\pi$
$234$	−23.4950	+	46.1116i	−1.53592	+	3.01441i
$235$	−0.814802	+	0.415162i	−0.0531518	+	0.0270822i
$236$	−0.0770591	+	0.237164i	−0.00501612	+	0.0154380i
$237$		−	25.0153i		−	1.62492i
$238$	0.816684	+	0.265357i	0.0529378	+	0.0172005i
$239$	15.7133	+	2.48875i	1.01641	+	0.160984i	0.642342	−	0.766418i	$-0.277963\pi$
$239$	15.7133	+	2.48875i	1.01641	+	0.160984i	0.374068	+	0.927401i	$0.377963\pi$
$240$	−42.2394	+	6.69006i	−2.72654	+	0.431841i
$241$	15.3080	−	4.97386i	0.986073	−	0.320395i	0.228786	−	0.973477i	$-0.426524\pi$
$241$	15.3080	−	4.97386i	0.986073	−	0.320395i	0.757287	+	0.653082i	$0.226524\pi$
$242$	−4.71219	−	14.5026i	−0.302911	−	0.932265i
$243$	17.2682	+	17.2682i	1.10776	+	1.10776i
$244$	0.133284	−	0.183450i	0.00853263	−	0.0117442i
$245$	3.33104			0.212813
$246$	−15.0798	−	24.6683i	−0.961452	−	1.57279i
$247$	−16.5450			−1.05273
$248$	0.980395	−	1.34940i	0.0622551	−	0.0856868i
$249$	−38.8707	−	38.8707i	−2.46333	−	2.46333i
$250$	1.60383	+	4.93609i	0.101435	+	0.312185i
$251$	14.4111	−	4.68244i	0.909618	−	0.295553i	0.183417	−	0.983035i	$-0.441284\pi$
$251$	14.4111	−	4.68244i	0.909618	−	0.295553i	0.726201	+	0.687482i	$0.241284\pi$
$252$	−0.151065	+	0.0239263i	−0.00951619	+	0.00150722i
$253$	−4.42823	−	0.701363i	−0.278401	−	0.0440943i
$254$	5.03666	+	1.63651i	0.316028	+	0.102684i
$255$		−	6.38891i		−	0.400089i
$256$	0.160076	−	0.492664i	0.0100048	−	0.0307915i
$257$	20.4768	−	10.4334i	1.27731	−	0.650820i	0.322084	−	0.946711i	$-0.395617\pi$
$257$	20.4768	−	10.4334i	1.27731	−	0.650820i	0.955222	+	0.295891i	$0.0956166\pi$
$258$	−9.37820	+	18.4058i	−0.583861	+	1.14589i
$259$	−0.303425	−	1.91575i	−0.0188539	−	0.119039i
$260$	−0.261200	+	0.261200i	−0.0161989	+	0.0161989i
$261$	53.3254	+	27.1707i	3.30076	+	1.68182i
$262$	4.82288	−	3.50403i	0.297959	−	0.216480i
$263$	6.63954	+	13.0308i	0.409412	+	0.803516i	0.999994	−	0.00346164i	$-0.00110188\pi$
$263$	6.63954	+	13.0308i	0.409412	+	0.803516i	−0.590582	+	0.806977i	$0.701102\pi$
$264$	3.79040	+	2.75388i	0.233283	+	0.169490i
$265$	−3.33587	+	21.0618i	−0.204921	+	1.29382i
$266$	−2.69158	−	3.70465i	−0.165032	−	0.227146i
$267$	18.7112	+	25.7538i	1.14511	+	1.57611i
$268$	0.0252046	−	0.159136i	0.00153962	−	0.00972076i
$269$	13.7351	+	9.97916i	0.837446	+	0.608440i	0.921656	−	0.388008i	$-0.126837\pi$
$269$	13.7351	+	9.97916i	0.837446	+	0.608440i	−0.0842098	+	0.996448i	$0.526837\pi$
$270$	27.8961	+	54.7493i	1.69771	+	3.33193i
$271$	−3.46340	+	2.51631i	−0.210386	+	0.152855i	−0.687989	−	0.725722i	$-0.741506\pi$
$271$	−3.46340	+	2.51631i	−0.210386	+	0.152855i	0.477602	+	0.878576i	$0.341506\pi$
$272$	2.17548	+	1.10846i	0.131908	+	0.0672104i
$273$	11.5360	−	11.5360i	0.698188	−	0.698188i
$274$	0.623308	+	3.93541i	0.0376554	+	0.237747i
$275$	1.45144	−	2.84861i	0.0875252	−	0.171778i
$276$	0.522157	−	0.266052i	0.0314302	−	0.0160145i
$277$	−2.20762	+	6.79434i	−0.132643	+	0.408232i	−0.995216	−	0.0976999i	$-0.968851\pi$
$277$	−2.20762	+	6.79434i	−0.132643	+	0.408232i	0.862573	+	0.505932i	$0.168851\pi$
$278$			10.2075i			0.612208i
$279$	−3.99563	−	1.29826i	−0.239212	−	0.0777247i
$280$	9.25472	+	1.46580i	0.553075	+	0.0875985i
$281$	−15.5611	+	2.46464i	−0.928299	+	0.147028i	−0.602234	−	0.798319i	$-0.705723\pi$
$281$	−15.5611	+	2.46464i	−0.928299	+	0.147028i	−0.326065	+	0.945347i	$0.605723\pi$
$282$	−1.17893	+	0.383058i	−0.0702043	+	0.0228108i
$283$	9.98193	+	30.7212i	0.593364	+	1.82619i	0.562706	+	0.826657i	$0.309760\pi$
$283$	9.98193	+	30.7212i	0.593364	+	1.82619i	0.0306582	+	0.999530i	$0.490240\pi$
$284$	−0.0522530	−	0.0522530i	−0.00310065	−	0.00310065i
$285$	−20.0257	+	27.5629i	−1.18622	+	1.63269i
$286$	3.83079			0.226519
$287$	1.48799	+	6.22783i	0.0878336	+	0.367617i
$288$	−0.865166			−0.0509804
$289$	9.77795	−	13.4582i	0.575174	−	0.791659i
$290$	28.2882	+	28.2882i	1.66114	+	1.66114i
$291$	−11.9873	−	36.8932i	−0.702710	−	2.16272i
$292$	−0.0845677	+	0.0274777i	−0.00494895	+	0.00160801i
$293$	5.09464	−	0.806912i	0.297632	−	0.0471403i	−0.00583253	−	0.999983i	$-0.501857\pi$
$293$	5.09464	−	0.806912i	0.297632	−	0.0471403i	0.303465	+	0.952843i	$0.401857\pi$
$294$	4.45975	+	0.706356i	0.260098	+	0.0411955i
$295$	−36.5969	−	11.8910i	−2.13075	−	0.692324i
$296$		−	5.45609i		−	0.317129i
$297$	2.10268	−	6.47137i	0.122010	−	0.375507i
$298$	14.6146	−	7.44650i	0.846600	−	0.431364i
$299$	−19.9371	+	39.1288i	−1.15299	+	2.26287i
$300$	0.0653725	+	0.412746i	0.00377429	+	0.0238299i
$301$	3.23494	−	3.23494i	0.186459	−	0.186459i
$302$	−9.57874	−	4.88061i	−0.551195	−	0.280848i
$303$	18.7425	−	13.6172i	1.07673	−	0.782289i
$304$	−5.91101	−	11.6010i	−0.339020	−	0.665364i
$305$	28.3083	+	20.5672i	1.62093	+	1.17767i
$306$	0.951787	−	6.00935i	0.0544100	−	0.343531i
$307$	4.05818	+	5.58561i	0.231613	+	0.318787i	0.908966	−	0.416870i	$-0.136873\pi$
$307$	4.05818	+	5.58561i	0.231613	+	0.318787i	−0.677353	+	0.735658i	$0.736873\pi$
$308$	0.00665459	+	0.00915926i	0.000379181	+	0.000521897i
$309$	5.07992	−	32.0733i	0.288986	−	1.82459i
$310$	−2.27197	−	1.65068i	−0.129039	−	0.0937526i
$311$	−1.44926	−	2.84433i	−0.0821800	−	0.161287i	0.846260	−	0.532771i	$-0.178849\pi$
$311$	−1.44926	−	2.84433i	−0.0821800	−	0.161287i	−0.928440	+	0.371483i	$0.878849\pi$
$312$	37.1270	−	26.9743i	2.10190	−	1.52712i
$313$	−2.36064	−	1.20280i	−0.133431	−	0.0679866i	0.386000	−	0.922499i	$-0.373856\pi$
$313$	−2.36064	−	1.20280i	−0.133431	−	0.0679866i	−0.519432	+	0.854512i	$0.673856\pi$
$314$	4.82112	−	4.82112i	0.272071	−	0.272071i
$315$	−3.69209	−	23.3109i	−0.208026	−	1.31342i
$316$	0.0771954	−	0.151504i	0.00434258	−	0.00852279i
$317$	−31.2738	+	15.9348i	−1.75651	+	0.894986i	−0.801723	+	0.597696i	$0.796083\pi$
$317$	−31.2738	+	15.9348i	−1.75651	+	0.894986i	−0.954787	+	0.297290i	$0.903917\pi$
$318$	−8.93243	+	27.4912i	−0.500906	+	1.54163i
$319$		−	4.43009i		−	0.248038i
$320$	25.0647	+	8.14400i	1.40116	+	0.455264i
$321$	−37.5418	−	5.94603i	−2.09538	−	0.331875i
$322$	−12.0049	+	1.90139i	−0.669006	+	0.105960i
$323$	1.84991	−	0.601073i	0.102932	−	0.0334446i
$324$	0.133051	+	0.409489i	0.00739172	+	0.0227494i
$325$	−22.1433	−	22.1433i	−1.22829	−	1.22829i
$326$	7.59060	−	10.4476i	0.420405	−	0.578637i
$327$	−32.6570			−1.80594
$328$	1.39362	+	17.9577i	0.0769497	+	0.991549i
$329$	0.274531			0.0151354
$330$	4.63670	−	6.38187i	0.255242	−	0.351310i
$331$	2.65618	+	2.65618i	0.145997	+	0.145997i	0.776327	−	0.630330i	$-0.217080\pi$
$331$	2.65618	+	2.65618i	0.145997	+	0.145997i	−0.630330	+	0.776327i	$0.717080\pi$
$332$	−0.115467	−	0.355372i	−0.00633709	−	0.0195036i
$333$	−13.0703	+	4.24679i	−0.716246	+	0.232723i
$334$	3.11906	−	0.494010i	0.170667	−	0.0270310i
$335$	24.5564	+	3.88934i	1.34166	+	0.212498i
$336$	12.2102	+	3.96734i	0.666122	+	0.216436i
$337$		−	11.9008i		−	0.648279i	−0.946009	−	0.324140i	$-0.894925\pi$
$337$		−	11.9008i		−	0.648279i	0.946009	−	0.324140i	$-0.105075\pi$
$338$	5.88335	−	18.1071i	0.320012	−	0.984896i
$339$	9.75288	−	4.96934i	0.529704	−	0.269898i
$340$	0.0197157	−	0.0386943i	0.00106923	−	0.00209849i
$341$	0.0486486	+	0.307155i	0.00263447	+	0.0166334i
$342$	−22.9421	+	22.9421i	−1.24057	+	1.24057i
$343$	−0.891007	−	0.453990i	−0.0481098	−	0.0245132i
$344$	10.4112	−	7.56421i	0.561337	−	0.407835i
$345$	41.0548	+	80.5745i	2.21031	+	4.33798i
$346$	−4.87708	−	3.54341i	−0.262194	−	0.190495i
$347$	−1.91328	+	12.0800i	−0.102710	+	0.648487i	0.881594	+	0.472008i	$0.156471\pi$
$347$	−1.91328	+	12.0800i	−0.102710	+	0.648487i	−0.984304	+	0.176479i	$0.943529\pi$
$348$	0.340362	+	0.468469i	0.0182453	+	0.0251126i
$349$	0.550241	+	0.757342i	0.0294537	+	0.0405396i	0.823490	−	0.567331i	$-0.192024\pi$
$349$	0.550241	+	0.757342i	0.0294537	+	0.0405396i	−0.794036	+	0.607871i	$0.792024\pi$
$350$	1.35585	−	8.56052i	0.0724734	−	0.457579i
$351$	−53.9203	−	39.1754i	−2.87805	−	2.09103i
$352$	0.0290741	+	0.0570611i	0.00154965	+	0.00304136i
$353$	1.34143	−	0.974605i	0.0713970	−	0.0518730i	−0.551514	−	0.834165i	$-0.685950\pi$
$353$	1.34143	−	0.974605i	0.0713970	−	0.0518730i	0.622911	+	0.782293i	$0.285950\pi$
$354$	−46.4761	−	23.6807i	−2.47018	−	1.25862i
$355$	8.06320	−	8.06320i	0.427950	−	0.427950i
$356$	0.0338497	+	0.213719i	0.00179403	+	0.0113271i
$357$	−0.870749	+	1.70894i	−0.0460849	+	0.0904468i
$358$	10.5276	−	5.36406i	0.556399	−	0.283499i
$359$	−7.93351	+	24.4168i	−0.418715	+	1.28867i	0.490171	+	0.871626i	$0.336934\pi$
$359$	−7.93351	+	24.4168i	−0.418715	+	1.28867i	−0.908886	+	0.417045i	$0.863066\pi$
$360$		−	66.3901i		−	3.49906i
$361$	8.20518	+	2.66603i	0.431852	+	0.140317i
$362$	24.2314	+	3.83787i	1.27357	+	0.201714i
$363$	33.6403	−	5.32809i	1.76566	−	0.279652i
$364$	0.105466	−	0.0342681i	0.00552794	−	0.00179614i
$365$	−4.24011	−	13.0497i	−0.221937	−	0.683053i
$366$	33.5391	+	33.5391i	1.75312	+	1.75312i
$367$	−3.35091	+	4.61213i	−0.174916	+	0.240751i	−0.887469	−	0.460867i	$-0.847539\pi$
$367$	−3.35091	+	4.61213i	−0.174916	+	0.240751i	0.712553	+	0.701618i	$0.247539\pi$
$368$	−34.5592			−1.80152
$369$	41.9336	−	17.3160i	2.18298	−	0.901434i
$370$	−9.18639			−0.477578
$371$	3.76283	−	5.17909i	0.195357	−	0.268885i
$372$	−0.0287431	−	0.0287431i	−0.00149026	−	0.00149026i
$373$	−4.53726	−	13.9642i	−0.234930	−	0.723041i	−0.997131	−	0.0756998i	$-0.975881\pi$
$373$	−4.53726	−	13.9642i	−0.234930	−	0.723041i	0.762200	−	0.647341i	$-0.224119\pi$
$374$	−0.428324	+	0.139171i	−0.0221481	+	0.00719636i
$375$	−11.4497	+	1.81346i	−0.591261	+	0.0936466i
$376$	0.762736	+	0.120806i	0.0393351	+	0.00623007i
$377$	−41.2690	−	13.4091i	−2.12546	−	0.690604i
$378$		−	18.4466i		−	0.948793i
$379$	−3.86800	+	11.9045i	−0.198686	+	0.611492i	0.801228	+	0.598359i	$0.204180\pi$
$379$	−3.86800	+	11.9045i	−0.198686	+	0.611492i	−0.999914	+	0.0131329i	$0.995820\pi$
$380$	−0.206342	+	0.105137i	−0.0105851	+	0.00539339i
$381$	−5.37010	+	10.5394i	−0.275118	+	0.539950i
$382$	−4.23916	−	26.7650i	−0.216894	−	1.36942i
$383$	23.2476	−	23.2476i	1.18790	−	1.18790i	0.210251	−	0.977647i	$-0.432572\pi$
$383$	23.2476	−	23.2476i	1.18790	−	1.18790i	0.977647	−	0.210251i	$-0.0674282\pi$
$384$	32.5218	+	16.5707i	1.65962	+	0.845619i
$385$	−1.41337	+	1.02688i	−0.0720321	+	0.0523344i
$386$	−7.95784	−	15.6181i	−0.405043	−	0.794942i
$387$	−26.2240	−	19.0528i	−1.33304	−	0.968511i
$388$	0.0412489	−	0.260435i	0.00209409	−	0.0132216i
$389$	−15.2511	−	20.9913i	−0.773261	−	1.06430i	−0.995994	−	0.0894226i	$-0.971498\pi$
$389$	−15.2511	−	20.9913i	−0.773261	−	1.06430i	0.222733	−	0.974879i	$-0.428502\pi$
$390$	−45.4165	−	62.5104i	−2.29975	−	3.16534i
$391$	0.807654	−	5.09933i	0.0408448	−	0.257884i
$392$	−2.27573	−	1.65342i	−0.114942	−	0.0835101i
$393$	6.04497	+	11.8639i	0.304929	+	0.598456i
$394$	−25.4589	+	18.4969i	−1.28260	+	0.931862i
$395$	23.3788	+	11.9121i	1.17631	+	0.599361i
$396$	0.0567215	−	0.0567215i	0.00285036	−	0.00285036i
$397$	2.78991	+	17.6148i	0.140021	+	0.884061i	0.953265	+	0.302137i	$0.0976999\pi$
$397$	2.78991	+	17.6148i	0.140021	+	0.884061i	−0.813243	+	0.581924i	$0.802300\pi$
$398$	−10.4072	+	20.4253i	−0.521667	+	1.02383i
$399$	9.11315	−	4.64338i	0.456228	−	0.232460i
$400$	7.61533	−	23.4376i	0.380766	−	1.17188i
$401$			16.1215i			0.805070i	0.915405	+	0.402535i	$0.131871\pi$
$401$			16.1215i			0.805070i	−0.915405	+	0.402535i	$0.868129\pi$
$402$	32.0524	+	10.4145i	1.59863	+	0.519427i
$403$	3.00859	+	0.476513i	0.149868	+	0.0237368i
$404$	0.155535	−	0.0246344i	0.00773817	−	0.00122561i
$405$	−63.1885	+	20.5312i	−3.13986	+	1.02020i
$406$	−3.71127	−	11.4221i	−0.184187	−	0.566870i
$407$	0.719321	+	0.719321i	0.0356554	+	0.0356554i
$408$	−3.17123	+	4.36483i	−0.156999	+	0.216091i
$409$	−3.68548			−0.182235			−0.0911177	−	0.995840i	$-0.529044\pi$
$409$	−3.68548			−0.182235			−0.0911177	+	0.995840i	$0.529044\pi$
$410$	30.2353	−	2.34643i	1.49322	−	0.115882i
$411$	−8.89957			−0.438983
$412$	0.129742	−	0.178575i	0.00639195	−	0.00879777i
$413$	8.16850	+	8.16850i	0.401946	+	0.401946i
$414$	26.6121	+	81.9037i	1.30791	+	4.02535i
$415$	54.8377	−	17.8178i	2.69188	−	0.874644i
$416$	0.619560	−	0.0981287i	0.0303764	−	0.00481116i
$417$	−22.5185	−	3.56659i	−1.10274	−	0.174656i
$418$	2.28410	+	0.742148i	0.111719	+	0.0362996i
$419$		−	23.2857i		−	1.13758i	−0.822482	−	0.568791i	$-0.807411\pi$
$419$		−	23.2857i		−	1.13758i	0.822482	−	0.568791i	$-0.192589\pi$
$420$	0.0705654	−	0.217178i	0.00344324	−	0.0105972i
$421$	−5.77682	+	2.94343i	−0.281545	+	0.143454i	−0.589061	−	0.808089i	$-0.700502\pi$
$421$	−5.77682	+	2.94343i	−0.281545	+	0.143454i	0.307516	+	0.951543i	$0.400502\pi$
$422$	−5.82355	+	11.4294i	−0.283486	+	0.556372i
$423$	−0.304287	−	1.92119i	−0.0147949	−	0.0934115i
$424$	12.7334	−	12.7334i	0.618389	−	0.618389i
$425$	3.28032	+	1.67141i	0.159119	+	0.0810752i
$426$	12.5052	−	9.08556i	0.605879	−	0.440197i
$427$	−4.76894	−	9.35958i	−0.230785	−	0.452942i
$428$	−0.209022	−	0.151863i	−0.0101034	−	0.00734058i
$429$	−1.33850	+	8.45098i	−0.0646236	+	0.408017i
$430$	−12.7358	−	17.5293i	−0.614176	−	0.845340i
$431$	1.50075	+	2.06561i	0.0722888	+	0.0994970i	0.843630	−	0.536924i	$-0.180414\pi$
$431$	1.50075	+	2.06561i	0.0722888	+	0.0994970i	−0.771342	+	0.636421i	$0.780414\pi$
$432$	8.20495	−	51.8040i	0.394761	−	2.49242i
$433$	4.10825	+	2.98482i	0.197430	+	0.143441i	0.682108	−	0.731251i	$-0.261063\pi$
$433$	4.10825	+	2.98482i	0.197430	+	0.143441i	−0.484678	+	0.874692i	$0.661063\pi$
$434$	0.382747	+	0.751184i	0.0183725	+	0.0360580i
$435$	−72.2898	+	52.5216i	−3.46603	+	2.51822i
$436$	−0.197786	−	0.100777i	−0.00947225	−	0.00482635i
$437$	−19.4679	+	19.4679i	−0.931277	+	0.931277i
$438$	−2.90963	−	18.3707i	−0.139027	−	0.877785i
$439$	9.23175	−	18.1183i	0.440607	−	0.864740i	−0.558766	−	0.829326i	$-0.688725\pi$
$439$	9.23175	−	18.1183i	0.440607	−	0.864740i	0.999373	−	0.0354146i	$-0.0112752\pi$
$440$	−4.37868	+	2.23105i	−0.208745	+	0.106361i
$441$	−2.18948	+	6.73854i	−0.104261	+	0.320883i
$442$			4.41135i			0.209826i
$443$	−14.5084	−	4.71405i	−0.689313	−	0.223971i	−0.0566447	−	0.998394i	$-0.518040\pi$
$443$	−14.5084	−	4.71405i	−0.689313	−	0.223971i	−0.632668	+	0.774423i	$0.718040\pi$
$444$	−0.131331	−	0.0208008i	−0.00623270	−	0.000987162i
$445$	−32.9791	+	5.22338i	−1.56336	+	0.247612i
$446$	11.8219	−	3.84117i	0.559783	−	0.181885i
$447$	11.3210	+	34.8426i	0.535467	+	1.64800i
$448$	−5.59449	−	5.59449i	−0.264315	−	0.264315i
$449$	−2.69021	+	3.70276i	−0.126959	+	0.174744i	−0.867765	−	0.496975i	$-0.834444\pi$
$449$	−2.69021	+	3.70276i	−0.126959	+	0.174744i	0.740806	+	0.671719i	$0.234444\pi$
$450$	−61.4101			−2.89490
$451$	−2.55124	−	2.18378i	−0.120133	−	0.102830i
$452$	0.0744032			0.00349963
$453$	14.1138	−	19.4260i	0.663126	−	0.912714i
$454$	0.535360	+	0.535360i	0.0251257	+	0.0251257i
$455$	5.28794	+	16.2746i	0.247902	+	0.762965i
$456$	27.3626	−	8.89065i	1.28137	−	0.416343i
$457$	25.3539	−	4.01566i	1.18601	−	0.187845i	0.467901	−	0.883781i	$-0.345010\pi$
$457$	25.3539	−	4.01566i	1.18601	−	0.187845i	0.718104	+	0.695936i	$0.245010\pi$
$458$	25.8989	+	4.10199i	1.21018	+	0.191673i
$459$	7.45211	+	2.42134i	0.347834	+	0.113018i
$460$			0.614690i			0.0286600i
$461$	7.70566	−	23.7156i	0.358889	−	1.10455i	−0.594832	−	0.803850i	$-0.702781\pi$
$461$	7.70566	−	23.7156i	0.358889	−	1.10455i	0.953720	−	0.300695i	$-0.0972187\pi$
$462$	−2.11004	+	1.07512i	−0.0981680	+	0.0500191i
$463$	14.5472	−	28.5505i	0.676066	−	1.32685i	−0.256741	−	0.966480i	$-0.582649\pi$
$463$	14.5472	−	28.5505i	0.676066	−	1.32685i	0.932808	−	0.360375i	$-0.117351\pi$
$464$	−5.34194	−	33.7277i	−0.247993	−	1.56577i
$465$	4.43536	−	4.43536i	0.205685	−	0.205685i
$466$	36.0927	+	18.3902i	1.67196	+	0.851908i
$467$	−18.8524	+	13.6971i	−0.872385	+	0.633825i	−0.931226	−	0.364443i	$-0.881260\pi$
$467$	−18.8524	+	13.6971i	−0.872385	+	0.633825i	0.0588410	+	0.998267i	$0.481260\pi$
$468$	−0.356709	−	0.700081i	−0.0164889	−	0.0323612i
$469$	−6.03839	−	4.38715i	−0.278827	−	0.202580i
$470$	0.203400	−	1.28421i	0.00938212	−	0.0592364i
$471$	8.95117	+	12.3202i	0.412448	+	0.567686i
$472$	19.1003	+	26.2893i	0.879161	+	1.21006i
$473$	−0.375347	+	2.36985i	−0.0172585	+	0.108966i
$474$	28.7746	+	20.9060i	1.32166	+	0.960243i
$475$	−8.91300	−	17.4927i	−0.408956	−	0.802622i
$476$	−0.0105473	+	0.00766310i	−0.000483437	+	0.000351237i
$477$	−40.4144	−	20.5922i	−1.85045	−	0.942852i
$478$	−15.9948	+	15.9948i	−0.731586	+	0.731586i
$479$	−4.91376	−	31.0242i	−0.224515	−	1.41753i	−0.800137	−	0.599818i	$-0.795240\pi$
$479$	−4.91376	−	31.0242i	−0.224515	−	1.41753i	0.575622	−	0.817716i	$-0.304760\pi$
$480$	0.586424	−	1.15092i	0.0267665	−	0.0525322i
$481$	8.87816	−	4.52365i	0.404809	−	0.206261i
$482$	−7.07196	+	21.7653i	−0.322119	+	0.991380i
$483$		−	27.1479i		−	1.23527i
$484$	0.220184	+	0.0715420i	0.0100083	+	0.00325191i
$485$	40.1879	+	6.36514i	1.82484	+	0.289026i
$486$	−34.2948	+	5.43177i	−1.55565	+	0.246390i
$487$	−12.4017	+	4.02954i	−0.561973	+	0.182596i	−0.576209	−	0.817303i	$-0.695468\pi$
$487$	−12.4017	+	4.02954i	−0.561973	+	0.182596i	0.0142360	+	0.999899i	$0.495468\pi$
$488$	−9.13105	−	28.1025i	−0.413343	−	1.27214i
$489$	20.3958	+	20.3958i	0.922331	+	0.922331i
$490$	−2.78385	+	3.83163i	−0.125761	+	0.173096i
$491$	32.6994			1.47570			0.737852	−	0.674962i	$-0.235840\pi$
$491$	32.6994			1.47570			0.737852	+	0.674962i	$0.235840\pi$
$492$	0.437565	+	0.0349169i	0.0197269	+	0.00157417i
$493$	5.10147			0.229759
$494$	13.8271	−	19.0314i	0.622111	−	0.856262i
$495$	8.75273	+	8.75273i	0.393406	+	0.393406i
$496$	0.740754	+	2.27981i	0.0332608	+	0.102366i
$497$	−3.25573	+	1.05785i	−0.146039	+	0.0474511i
$498$	77.1976	−	12.2269i	3.45931	−	0.547900i
$499$	−10.7933	−	1.70949i	−0.483174	−	0.0765272i	−0.0899043	−	0.995950i	$-0.528656\pi$
$499$	−10.7933	−	1.70949i	−0.483174	−	0.0765272i	−0.393270	+	0.919423i	$0.628656\pi$
$500$	−0.0749412	−	0.0243499i	−0.00335147	−	0.00108896i
$501$			7.05346i			0.315125i
$502$	−6.65761	+	20.4900i	−0.297144	+	0.914514i
$503$	−5.05277	+	2.57452i	−0.225292	+	0.114792i	−0.562994	−	0.826461i	$-0.690350\pi$
$503$	−5.05277	+	2.57452i	−0.225292	+	0.114792i	0.337702	+	0.941253i	$0.390350\pi$
$504$	−9.04835	+	17.7584i	−0.403046	+	0.791022i
$505$	3.80135	+	24.0008i	0.169158	+	1.06802i
$506$	4.50756	−	4.50756i	0.200386	−	0.200386i
$507$	37.8898	+	19.3058i	1.68274	+	0.857400i
$508$	−0.0650477	+	0.0472599i	−0.00288603	+	0.00209682i
$509$	14.5014	+	28.4606i	0.642763	+	1.26149i	0.950707	+	0.310090i	$0.100359\pi$
$509$	14.5014	+	28.4606i	0.642763	+	1.26149i	−0.307944	+	0.951404i	$0.599641\pi$
$510$	7.34904	+	5.33939i	0.325421	+	0.236432i
$511$	−0.644387	+	4.06850i	−0.0285060	+	0.179980i
$512$	−13.0784	−	18.0009i	−0.577989	−	0.795533i
$513$	−24.5602	−	33.8043i	−1.08436	−	1.49250i
$514$	−5.11163	+	32.2735i	−0.225464	+	1.42353i
$515$	27.5561	+	20.0207i	1.21427	+	0.882215i
$516$	−0.142383	−	0.279442i	−0.00626805	−	0.0123017i
$517$	−0.116484	+	0.0846308i	−0.00512298	+	0.00372206i
$518$	2.45723	+	1.25202i	0.107964	+	0.0550106i
$519$	9.52108	−	9.52108i	0.417929	−	0.417929i
$520$	7.53008	+	47.5430i	0.330216	+	2.08490i
$521$	9.75031	−	19.1361i	0.427169	−	0.838366i	−0.572659	−	0.819794i	$-0.694088\pi$
$521$	9.75031	−	19.1361i	0.427169	−	0.838366i	0.999828	−	0.0185719i	$-0.00591196\pi$
$522$	−75.8195	+	38.6319i	−3.31853	+	1.69087i
$523$	10.0277	−	30.8621i	0.438481	−	1.34951i	−0.450996	−	0.892526i	$-0.648931\pi$
$523$	10.0277	−	30.8621i	0.438481	−	1.34951i	0.889477	−	0.456980i	$-0.151069\pi$
$524$			0.0905080i			0.00395386i
$525$	18.4113	+	5.98221i	0.803536	+	0.261085i
$526$	−20.5380	−	3.25289i	−0.895498	−	0.141833i
$527$	−0.353705	+	0.0560213i	−0.0154076	+	0.00244033i
$528$	−6.40387	+	2.08074i	−0.278693	+	0.0905527i
$529$	15.4748	+	47.6265i	0.672816	+	2.07072i
$530$	−21.4392	−	21.4392i	−0.931257	−	0.931257i
$531$	48.1100	−	66.2178i	2.08780	−	2.87361i
$532$	0.0695228			0.00301419
$533$	−28.0654	+	17.1565i	−1.21565	+	0.743129i
$534$	−45.2616			−1.95866
$535$	23.4341	−	32.2543i	1.01315	−	1.39448i
$536$	−14.8461	−	14.8461i	−0.641253	−	0.641253i
$537$	8.15507	+	25.0987i	0.351917	+	1.08309i
$538$	−22.9577	+	7.45940i	−0.989776	+	0.321598i
$539$	0.518011	−	0.0820448i	0.0223123	−	0.00353392i
$540$	−0.921415	−	0.145938i	−0.0396514	−	0.00628016i
$541$	10.7325	+	3.48721i	0.461428	+	0.149927i	0.530500	−	0.847685i	$-0.322004\pi$
$541$	10.7325	+	3.48721i	0.461428	+	0.149927i	−0.0690727	+	0.997612i	$0.522004\pi$
$542$		−	6.08683i		−	0.261452i
$543$	−16.9332	+	52.1150i	−0.726673	+	2.23647i
$544$	−0.0657087	+	0.0334802i	−0.00281724	+	0.00143545i
$545$	15.5510	−	30.5206i	0.666132	−	1.30736i
$546$	3.62867	+	22.9105i	0.155293	+	0.980479i
$547$	−2.13445	+	2.13445i	−0.0912625	+	0.0912625i	−0.751264	−	0.660002i	$-0.770556\pi$
$547$	−2.13445	+	2.13445i	−0.0912625	+	0.0912625i	0.660002	+	0.751264i	$0.270556\pi$
$548$	−0.0539000	−	0.0274634i	−0.00230250	−	0.00117318i
$549$	−60.2133	+	43.7475i	−2.56984	+	1.86710i
$550$	2.06370	+	4.05023i	0.0879963	+	0.172702i
$551$	−22.0087	−	15.9903i	−0.937603	−	0.681208i
$552$	11.9463	−	75.4257i	0.508467	−	3.21033i
$553$	−4.62998	−	6.37262i	−0.196887	−	0.270991i
$554$	−5.97043	−	8.21760i	−0.253659	−	0.349132i
$555$	3.20979	−	20.2658i	0.136248	−	0.860235i
$556$	−0.125377	−	0.0910915i	−0.00531716	−	0.00386314i
$557$	−6.82431	−	13.3935i	−0.289155	−	0.567499i	0.700040	−	0.714104i	$-0.253166\pi$
$557$	−6.82431	−	13.3935i	−0.289155	−	0.567499i	−0.989195	+	0.146604i	$0.953166\pi$
$558$	4.83262	−	3.51110i	0.204581	−	0.148637i
$559$	20.9405	+	10.6697i	0.885687	+	0.451280i
$560$	−9.52220	+	9.52220i	−0.402387	+	0.402387i
$561$	−0.157361	−	0.993540i	−0.00664380	−	0.0419473i
$562$	10.1698	−	19.9594i	0.428989	−	0.841938i
$563$	6.62805	−	3.37716i	0.279339	−	0.142330i	−0.308708	−	0.951157i	$-0.599897\pi$
$563$	6.62805	−	3.37716i	0.279339	−	0.142330i	0.588048	+	0.808826i	$0.299897\pi$
$564$	0.00581571	−	0.0178989i	0.000244885	−	0.000753680i
$565$			11.4812i			0.483018i
$566$	−43.6802	−	14.1926i	−1.83602	−	0.596558i
$567$	19.7002	+	3.12021i	0.827333	+	0.131037i
$568$	−9.51098	+	1.50639i	−0.399072	+	0.0632068i
$569$	−12.7248	+	4.13454i	−0.533452	+	0.173329i	−0.563341	−	0.826224i	$-0.690484\pi$
$569$	−12.7248	+	4.13454i	−0.533452	+	0.173329i	0.0298897	+	0.999553i	$0.490484\pi$
$570$	−14.9691	−	46.0702i	−0.626988	−	1.92967i
$571$	−8.21926	−	8.21926i	−0.343965	−	0.343965i	0.513890	−	0.857856i	$-0.328204\pi$
$571$	−8.21926	−	8.21926i	−0.343965	−	0.343965i	−0.857856	+	0.513890i	$0.828204\pi$
$572$	−0.0341858	+	0.0470527i	−0.00142938	+	0.00196737i
$573$	60.5265			2.52853
$574$	−8.40731	−	3.49316i	−0.350914	−	0.145802i
$575$	−52.1105			−2.17316
$576$	−32.9499	+	45.3516i	−1.37291	+	1.88965i
$577$	−24.1257	−	24.1257i	−1.00437	−	1.00437i	−0.999990	−	0.00437601i	$-0.998607\pi$
$577$	−24.1257	−	24.1257i	−1.00437	−	1.00437i	−0.00437601	−	0.999990i	$-0.501393\pi$
$578$	7.30900	+	22.4948i	0.304014	+	0.935659i
$579$	37.2352	−	12.0984i	1.54744	−	0.502794i
$580$	−0.599899	+	0.0950147i	−0.0249095	+	0.00394527i
$581$	−17.0967	−	2.70785i	−0.709291	−	0.112341i
$582$	52.4557	+	17.0439i	2.17436	+	0.706492i
$583$			3.35749i			0.139053i
$584$	−3.58063	+	11.0201i	−0.148168	+	0.456013i
$585$	108.030	−	55.0440i	4.46649	−	2.27579i
$586$	−3.32956	+	6.53463i	−0.137543	+	0.269943i
$587$	3.81509	+	24.0875i	0.157466	+	0.994198i	0.932208	+	0.361922i	$0.117879\pi$
$587$	3.81509	+	24.0875i	0.157466	+	0.994198i	−0.774743	+	0.632276i	$0.782121\pi$
$588$	−0.0484746	+	0.0484746i	−0.00199906	+	0.00199906i
$589$	1.70154	+	0.866979i	0.0701109	+	0.0357233i
$590$	44.2631	−	32.1590i	1.82228	−	1.32397i
$591$	−31.9100	−	62.6269i	−1.31260	−	2.57613i
$592$	6.34379	+	4.60903i	0.260728	+	0.189430i
$593$	5.23206	−	33.0339i	0.214855	−	1.35654i	−0.610541	−	0.791985i	$-0.709048\pi$
$593$	5.23206	−	33.0339i	0.214855	−	1.35654i	0.825396	−	0.564555i	$-0.190952\pi$
$594$	5.68663	+	7.82697i	0.233325	+	0.321144i
$595$	−1.18250	−	1.62757i	−0.0484777	−	0.0667238i
$596$	−0.0389561	+	0.245959i	−0.00159570	+	0.0100749i
$597$	−41.4233	−	30.0958i	−1.69534	−	1.23174i
$598$	−28.3471	−	55.6343i	−1.15920	−	2.27505i
$599$	21.8416	−	15.8688i	0.892423	−	0.648384i	−0.0440853	−	0.999028i	$-0.514037\pi$
$599$	21.8416	−	15.8688i	0.892423	−	0.648384i	0.936509	+	0.350644i	$0.114037\pi$
$600$	48.5203	+	24.7223i	1.98083	+	1.00928i
$601$	−17.1071	+	17.1071i	−0.697814	+	0.697814i	−0.963939	−	0.266124i	$-0.914257\pi$
$601$	−17.1071	+	17.1071i	−0.697814	+	0.697814i	0.266124	+	0.963939i	$0.414257\pi$
$602$	1.01756	+	6.42463i	0.0414727	+	0.261848i
$603$	−24.0088	+	47.1199i	−0.977713	+	1.91887i
$604$	0.145427	−	0.0740990i	0.00591736	−	0.00301505i
$605$	−11.0397	+	33.9767i	−0.448828	+	1.38135i
$606$			32.9394i			1.33807i
$607$	14.1393	+	4.59415i	0.573898	+	0.186471i	0.581565	−	0.813500i	$-0.302440\pi$
$607$	14.1393	+	4.59415i	0.573898	+	0.186471i	−0.00766697	+	0.999971i	$0.502440\pi$
$608$	0.388421	+	0.0615199i	0.0157526	+	0.00249496i
$609$	26.4947	−	4.19635i	1.07362	−	0.170045i
$610$	−47.3160	+	15.3739i	−1.91577	+	0.622471i
$611$	0.435810	+	1.34128i	0.0176310	+	0.0542626i
$612$	0.0653176	+	0.0653176i	0.00264031	+	0.00264031i
$613$	16.5839	−	22.8258i	0.669818	−	0.921926i	−0.329938	−	0.944003i	$-0.607028\pi$
$613$	16.5839	−	22.8258i	0.669818	−	0.921926i	0.999756	+	0.0220768i	$0.00702782\pi$
$614$	−9.81655			−0.396164
$615$	−5.38805	+	67.5210i	−0.217267	+	2.72271i
$616$	1.47531			0.0594418
$617$	−4.45341	+	6.12960i	−0.179288	+	0.246768i	−0.889197	−	0.457525i	$-0.848736\pi$
$617$	−4.45341	+	6.12960i	−0.179288	+	0.246768i	0.709909	+	0.704293i	$0.248736\pi$
$618$	32.6479	+	32.6479i	1.31329	+	1.31329i
$619$	−0.144496	−	0.444713i	−0.00580779	−	0.0178745i	0.948111	−	0.317941i	$-0.102991\pi$
$619$	−0.144496	−	0.444713i	−0.00580779	−	0.0178745i	−0.953918	+	0.300066i	$0.902991\pi$
$620$	0.0405499	−	0.0131755i	0.00162852	−	0.000529139i
$621$	−109.542	+	17.3498i	−4.39579	+	0.696225i
$622$	4.48297	+	0.710033i	0.179751	+	0.0284697i
$623$	9.53334	+	3.09757i	0.381945	+	0.124102i
$624$			65.9539i			2.64027i
$625$	−5.66116	+	17.4232i	−0.226446	+	0.696930i
$626$	3.35641	−	1.71018i	0.134149	−	0.0683525i
$627$	−2.43531	+	4.77956i	−0.0972567	+	0.190877i
$628$	0.0161932	+	0.102240i	0.000646179	+	0.00407982i
$629$	−0.828333	+	0.828333i	−0.0330278	+	0.0330278i
$630$	29.8997	+	15.2347i	1.19123	+	0.606963i
$631$	−16.0984	+	11.6962i	−0.640866	+	0.465616i	−0.860148	−	0.510045i	$-0.829629\pi$
$631$	−16.0984	+	11.6962i	−0.640866	+	0.465616i	0.219282	+	0.975662i	$0.429629\pi$
$632$	−10.0594	−	19.7426i	−0.400140	−	0.785319i
$633$	−23.1791	−	16.8406i	−0.921288	−	0.669355i
$634$	7.80689	−	49.2908i	0.310051	−	1.95759i
$635$	−7.29272	−	10.0376i	−0.289403	−	0.398329i
$636$	−0.257955	−	0.355044i	−0.0102286	−	0.0140784i
$637$	0.803630	−	5.07392i	0.0318410	−	0.201036i
$638$	5.09585	+	3.70235i	0.201747	+	0.146578i
$639$	11.0116	+	21.6114i	0.435610	+	0.854933i
$640$	−30.9732	+	22.5034i	−1.22433	+	0.889524i
$641$	6.19264	+	3.15531i	0.244595	+	0.124627i	0.571991	−	0.820260i	$-0.306171\pi$
$641$	6.19264	+	3.15531i	0.244595	+	0.124627i	−0.327396	+	0.944887i	$0.606171\pi$
$642$	38.2143	−	38.2143i	1.50820	−	1.50820i
$643$	1.21860	+	7.69394i	0.0480569	+	0.303419i	0.999996	−	0.00286835i	$-0.000913025\pi$
$643$	1.21860	+	7.69394i	0.0480569	+	0.303419i	−0.951939	+	0.306288i	$0.900913\pi$
$644$	0.0837765	−	0.164421i	0.00330126	−	0.00647908i
$645$	43.1209	−	21.9712i	1.69788	−	0.865115i
$646$	−0.854620	+	2.63025i	−0.0336246	+	0.103486i
$647$			24.3031i			0.955454i	0.878508	+	0.477727i	$0.158539\pi$
$647$			24.3031i			0.955454i	−0.878508	+	0.477727i	$0.841461\pi$
$648$	53.3607	+	17.3379i	2.09621	+	0.681098i
$649$	−5.98406	−	0.947783i	−0.234895	−	0.0372037i
$650$	43.9768	−	6.96524i	1.72491	−	0.273199i
$651$	−1.79090	+	0.581897i	−0.0701907	+	0.0228064i
$652$	0.0605868	+	0.186467i	0.00237276	+	0.00730261i
$653$	7.10347	+	7.10347i	0.277980	+	0.277980i	0.832302	−	0.554322i	$-0.187022\pi$
$653$	7.10347	+	7.10347i	0.277980	+	0.277980i	−0.554322	+	0.832302i	$0.687022\pi$
$654$	27.2924	−	37.5647i	1.06722	−	1.46890i
$655$	−13.9664			−0.545711
$656$	−22.0567	−	13.5494i	−0.861168	−	0.529016i
$657$	29.1859			1.13865
$658$	−0.229433	+	0.315787i	−0.00894423	+	0.0123107i
$659$	−15.8826	−	15.8826i	−0.618699	−	0.618699i	0.326499	−	0.945198i	$-0.394131\pi$
$659$	−15.8826	−	15.8826i	−0.618699	−	0.618699i	−0.945198	+	0.326499i	$0.894131\pi$
$660$	0.0370093	+	0.113903i	0.00144058	+	0.00443366i
$661$	−27.1607	+	8.82506i	−1.05643	+	0.343255i	−0.785189	−	0.619256i	$-0.787434\pi$
$661$	−27.1607	+	8.82506i	−1.05643	+	0.343255i	−0.271242	+	0.962511i	$0.587434\pi$
$662$	−5.27520	+	0.835510i	−0.205027	+	0.0324730i
$663$	−9.73173	−	1.54135i	−0.377949	−	0.0598612i
$664$	−46.3087	−	15.0466i	−1.79712	−	0.583921i
$665$			10.7281i			0.416018i
$666$	6.03819	−	18.5836i	0.233975	−	0.720101i
$667$	−64.3379	+	32.7818i	−2.49117	+	1.26932i
$668$	−0.0217665	+	0.0427191i	−0.000842170	+	0.00165285i
$669$	4.34322	+	27.4220i	0.167919	+	1.06020i
$670$	−24.9963	+	24.9963i	−0.965690	+	0.965690i
$671$	4.90880	+	2.50116i	0.189502	+	0.0965561i
$672$	−0.313720	+	0.227931i	−0.0121020	+	0.00879263i
$673$	8.38662	+	16.4597i	0.323280	+	0.634474i	0.994259	−	0.107003i	$-0.0341256\pi$
$673$	8.38662	+	16.4597i	0.323280	+	0.634474i	−0.670978	+	0.741477i	$0.734126\pi$
$674$	13.6893	+	9.94585i	0.527292	+	0.383100i
$675$	12.3719	−	78.1133i	0.476196	−	3.00658i
$676$	0.169902	+	0.233850i	0.00653470	+	0.00899424i
$677$	2.60630	+	3.58726i	0.100168	+	0.137870i	0.856159	−	0.516713i	$-0.172844\pi$
$677$	2.60630	+	3.58726i	0.100168	+	0.137870i	−0.755991	+	0.654582i	$0.772844\pi$
$678$	−2.43462	+	15.3716i	−0.0935009	+	0.590342i
$679$	−9.88219	−	7.17983i	−0.379244	−	0.275537i
$680$	−2.56916	−	5.04227i	−0.0985229	−	0.193362i
$681$	−1.36810	+	0.993982i	−0.0524257	+	0.0380895i
$682$	−0.393972	−	0.200739i	−0.0150860	−	0.00768668i
$683$	−0.697469	+	0.697469i	−0.0266879	+	0.0266879i	−0.720325	−	0.693637i	$-0.756007\pi$
$683$	−0.697469	+	0.697469i	−0.0266879	+	0.0266879i	0.693637	+	0.720325i	$0.256007\pi$
$684$	−0.0770582	−	0.486526i	−0.00294639	−	0.0186028i
$685$	4.23790	−	8.31735i	0.161922	−	0.317790i
$686$	1.26686	−	0.645495i	0.0483688	−	0.0246451i
$687$	−18.0985	+	55.7015i	−0.690502	+	2.12515i
$688$			18.4950i			0.705115i
$689$	31.2771	+	10.1625i	1.19156	+	0.387162i
$690$	−126.994	−	20.1139i	−4.83457	−	0.765721i
$691$	−8.16926	+	1.29388i	−0.310773	+	0.0492216i	−0.309873	−	0.950778i	$-0.600287\pi$
$691$	−8.16926	+	1.29388i	−0.310773	+	0.0492216i	−0.000900164		1.00000i	$0.500287\pi$
$692$	0.0870456	−	0.0282828i	0.00330898	−	0.00107515i
$693$	−1.14831	−	3.53415i	−0.0436208	−	0.134251i
$694$	−12.2964	−	12.2964i	−0.466764	−	0.466764i
$695$	14.0564	−	19.3470i	0.533190	−	0.733873i
$696$	75.4575			2.86021
$697$	2.51473	−	2.93788i	0.0952522	−	0.111280i
$698$	−1.33101			−0.0503794
$699$	−53.1810	+	73.1973i	−2.01149	+	2.76858i
$700$	0.0930472	+	0.0930472i	0.00351685	+	0.00351685i
$701$	11.2765	+	34.7054i	0.425906	+	1.31080i	0.902124	+	0.431477i	$0.142008\pi$
$701$	11.2765	+	34.7054i	0.425906	+	1.31080i	−0.476217	+	0.879328i	$0.657992\pi$
$702$	90.1254	−	29.2835i	3.40156	−	1.10524i
$703$	6.16995	−	0.977224i	0.232704	−	0.0368567i
$704$	4.09840	+	0.649122i	0.154464	+	0.0244647i
$705$	2.76199	+	0.897426i	0.104023	+	0.0337990i
$706$			2.35752i			0.0887266i
$707$	2.25428	−	6.93795i	0.0847808	−	0.260929i
$708$	0.705614	−	0.359528i	0.0265186	−	0.0135119i
$709$	7.44497	−	14.6116i	0.279602	−	0.548749i	−0.707908	−	0.706304i	$-0.750361\pi$
$709$	7.44497	−	14.6116i	0.279602	−	0.548749i	0.987510	+	0.157555i	$0.0503611\pi$
$710$	2.53630	+	16.0136i	0.0951857	+	0.600979i
$711$	−39.4643	+	39.4643i	−1.48003	+	1.48003i
$712$	25.1237	+	12.8011i	0.941549	+	0.479743i
$713$	4.10080	−	2.97940i	0.153576	−	0.111580i
$714$	−1.23805	−	2.42982i	−0.0463330	−	0.0909336i
$715$	−7.26073	−	5.27523i	−0.271536	−	0.197282i
$716$	−0.0280619	+	0.177176i	−0.00104872	+	0.00662137i
$717$	−29.6969	−	40.8743i	−1.10905	−	1.52648i
$718$	−21.4560	−	29.5316i	−0.800729	−	1.10211i
$719$	−6.51272	+	41.1197i	−0.242884	+	1.53351i	0.501148	+	0.865362i	$0.332911\pi$
$719$	−6.51272	+	41.1197i	−0.242884	+	1.53351i	−0.744031	+	0.668145i	$0.767089\pi$
$720$	77.1915	+	56.0829i	2.87676	+	2.09009i
$721$	−4.64222	−	9.11088i	−0.172885	−	0.339307i
$722$	−9.92398	+	7.21019i	−0.369332	+	0.268336i
$723$	−45.5446	−	23.2061i	−1.69382	−	0.863046i
$724$	−0.263379	+	0.263379i	−0.00978840	+	0.00978840i
$725$	−8.05491	−	50.8567i	−0.299152	−	1.88877i
$726$	−21.9853	+	43.1486i	−0.815951	+	1.60139i
$727$	−22.7702	+	11.6020i	−0.844501	+	0.430295i	−0.822024	−	0.569453i	$-0.807155\pi$
$727$	−22.7702	+	11.6020i	−0.844501	+	0.430295i	−0.0224767	+	0.999747i	$0.507155\pi$
$728$	4.46549	−	13.7434i	0.165502	−	0.509363i
$729$		−	17.7172i		−	0.656191i
$730$	18.5544	+	6.02869i	0.686729	+	0.223132i
$731$	−2.72900	−	0.432231i	−0.100936	−	0.0159866i
$732$	−0.711253	+	0.112651i	−0.0262887	+	0.00416372i
$733$	−8.80543	+	2.86106i	−0.325236	+	0.105676i	−0.467084	−	0.884213i	$-0.654695\pi$
$733$	−8.80543	+	2.86106i	−0.325236	+	0.105676i	0.141848	+	0.989888i	$0.454695\pi$
$734$	−2.50480	−	7.70897i	−0.0924537	−	0.284543i
$735$	−7.48015	−	7.48015i	−0.275909	−	0.275909i
$736$	0.613551	−	0.844480i	0.0226158	−	0.0311279i
$737$	3.91456			0.144195
$738$	−15.1269	+	62.7069i	−0.556828	+	2.30827i
$739$	49.7125			1.82870			0.914352	−	0.404920i	$-0.132701\pi$
$739$	49.7125			1.82870			0.914352	+	0.404920i	$0.132701\pi$
$740$	0.0819788	−	0.112834i	0.00301360	−	0.00414787i
$741$	37.1532	+	37.1532i	1.36486	+	1.36486i
$742$	2.81271	+	8.65663i	0.103258	+	0.317795i
$743$	25.9635	−	8.43607i	0.952510	−	0.309489i	0.208775	−	0.977964i	$-0.433052\pi$
$743$	25.9635	−	8.43607i	0.952510	−	0.309489i	0.743735	+	0.668474i	$0.233052\pi$
$744$	−5.23175	+	0.828628i	−0.191805	+	0.0303790i
$745$	−37.9542	−	6.01135i	−1.39053	−	0.220239i
$746$	19.8547	+	6.45119i	0.726932	+	0.236195i
$747$			122.646i			4.48737i
$748$	0.00211294	−	0.00650295i	7.72567e−5	−	0.000237772i
$749$	−10.6643	+	5.43371i	−0.389664	+	0.198543i
$750$	7.48287	−	14.6860i	0.273236	−	0.536255i
$751$	1.65966	+	10.4787i	0.0605618	+	0.382372i	0.999289	+	0.0377103i	$0.0120064\pi$
$751$	1.65966	+	10.4787i	0.0605618	+	0.382372i	−0.938727	+	0.344662i	$0.887994\pi$
$752$	−0.784781	+	0.784781i	−0.0286180	+	0.0286180i
$753$	−42.8761	−	21.8465i	−1.56249	−	0.796130i
$754$	49.9139	−	36.2646i	1.81776	−	1.32068i
$755$	11.4343	+	22.4410i	0.416136	+	0.816712i
$756$	0.226575	+	0.164617i	0.00824047	+	0.00598705i
$757$	1.42325	−	8.98604i	0.0517289	−	0.326603i	−0.948230	−	0.317583i	$-0.897129\pi$
$757$	1.42325	−	8.98604i	0.0517289	−	0.326603i	0.999959	−	0.00902019i	$-0.00287125\pi$
$758$	−10.4609	−	14.3982i	−0.379957	−	0.522966i
$759$	8.36901	+	11.5190i	0.303776	+	0.418111i
$760$	−4.72084	+	29.8062i	−0.171243	+	1.08118i
$761$	−10.4904	−	7.62169i	−0.380275	−	0.276286i	0.381184	−	0.924499i	$-0.375517\pi$
$761$	−10.4904	−	7.62169i	−0.380275	−	0.276286i	−0.761459	+	0.648213i	$0.775517\pi$
$762$	−7.63534	−	14.9852i	−0.276599	−	0.542856i
$763$	−8.31935	+	6.04436i	−0.301181	+	0.218820i
$764$	0.366578	+	0.186781i	0.0132623	+	0.00675749i
$765$	−10.0792	+	10.0792i	−0.364414	+	0.364414i
$766$	7.31261	+	46.1700i	0.264215	+	1.66819i
$767$	−26.9419	+	52.8764i	−0.972815	+	1.90926i
$768$	−1.46579	+	0.746855i	−0.0528920	+	0.0269498i
$769$	9.03161	−	27.7964i	0.325688	−	1.00237i	−0.645441	−	0.763810i	$-0.723326\pi$
$769$	9.03161	−	27.7964i	0.325688	−	1.00237i	0.971129	−	0.238555i	$-0.0766738\pi$
$770$		−	2.48396i		−	0.0895158i
$771$	−69.4116	−	22.5532i	−2.49980	−	0.812233i
$772$	0.262849	+	0.0416312i	0.00946014	+	0.00149834i
$773$	50.6466	−	8.02163i	1.82163	−	0.288518i	0.850309	−	0.526283i	$-0.176415\pi$
$773$	50.6466	−	8.02163i	1.82163	−	0.288518i	0.971323	+	0.237765i	$0.0764149\pi$
$774$	43.8322	−	14.2420i	1.57552	−	0.511917i
$775$	1.11695	+	3.43763i	0.0401222	+	0.123483i
$776$	−24.2965	−	24.2965i	−0.872194	−	0.872194i
$777$	−3.62061	+	4.98335i	−0.129889	+	0.178777i
$778$	36.8917			1.32263
$779$	−20.0576	+	4.79230i	−0.718639	+	0.171702i
$780$	1.17309			0.0420035
$781$	1.05531	−	1.45251i	0.0377619	−	0.0519748i
$782$	5.19068	+	5.19068i	0.185618	+	0.185618i
$783$	−33.8647	−	104.225i	−1.21023	−	3.72469i
$784$	3.84484	−	1.24927i	0.137316	−	0.0446166i
$785$	−15.7767	+	2.49879i	−0.563095	+	0.0891855i
$786$	−18.6988	−	2.96160i	−0.666964	−	0.105637i
$787$	−6.77593	−	2.20163i	−0.241536	−	0.0784797i	0.185748	−	0.982597i	$-0.440529\pi$
$787$	−6.77593	−	2.20163i	−0.241536	−	0.0784797i	−0.427283	+	0.904118i	$0.640529\pi$
$788$		−	0.477770i		−	0.0170199i
$789$	14.3522	−	44.1715i	0.510952	−	1.57255i
$790$	−33.2405	+	16.9369i	−1.18264	+	0.602587i
$791$	1.56478	−	3.07106i	0.0556373	−	0.109194i
$792$	−1.63521	−	10.3243i	−0.0581047	−	0.366859i
$793$	38.1579	−	38.1579i	1.35503	−	1.35503i
$794$	−22.5936	−	11.5120i	−0.801815	−	0.408545i
$795$	54.7872	−	39.8052i	1.94310	−	1.41175i
$796$	−0.158006	−	0.310103i	−0.00560036	−	0.0109913i
$797$	−22.4191	−	16.2884i	−0.794125	−	0.576966i	0.115060	−	0.993359i	$-0.463294\pi$
$797$	−22.4191	−	16.2884i	−0.794125	−	0.576966i	−0.909185	+	0.416393i	$0.863294\pi$
$798$	−2.27492	+	14.3633i	−0.0805314	+	0.508455i
$799$	−0.0974566	−	0.134138i	−0.00344777	−	0.00474544i
$800$	0.437515	+	0.602188i	0.0154685	+	0.0212905i
$801$	11.1104	−	70.1485i	0.392568	−	2.47857i
$802$	−18.5443	−	13.4732i	−0.654821	−	0.475755i
$803$	−0.980798	−	1.92493i	−0.0346116	−	0.0679291i
$804$	−0.413952	+	0.300754i	−0.0145990	+	0.0106068i
$805$	25.3719	+	12.9276i	0.894241	+	0.455639i
$806$	−3.06248	+	3.06248i	−0.107871	+	0.107871i
$807$	−8.43437	−	53.2525i	−0.296904	−	1.87458i
$808$	9.31612	−	18.2839i	0.327740	−	0.643226i
$809$	32.1176	−	16.3648i	1.12920	−	0.575354i	0.213387	−	0.976968i	$-0.431550\pi$
$809$	32.1176	−	16.3648i	1.12920	−	0.575354i	0.915809	+	0.401613i	$0.131550\pi$
$810$	29.1918	−	89.8430i	1.02569	−	3.15676i
$811$		−	24.6654i		−	0.866118i	−0.901366	−	0.433059i	$-0.857434\pi$
$811$		−	24.6654i		−	0.866118i	0.901366	−	0.433059i	$-0.142566\pi$
$812$	0.173414	+	0.0563457i	0.00608564	+	0.00197735i
$813$	13.4279	+	2.12678i	0.470938	+	0.0745893i
$814$	−1.42858	+	0.226264i	−0.0500716	+	0.00793056i
$815$	−28.7739	+	9.34919i	−1.00790	+	0.327488i
$816$	−2.39608	−	7.37437i	−0.0838795	−	0.258155i
$817$	10.4186	+	10.4186i	0.364501	+	0.364501i
$818$	3.08006	−	4.23934i	0.107692	−	0.148225i
$819$	−36.3985			−1.27187
$820$	−0.240997	+	0.392312i	−0.00841600	+	0.0137001i
$821$	51.9698			1.81376			0.906879	−	0.421390i	$-0.138458\pi$
$821$	51.9698			1.81376			0.906879	+	0.421390i	$0.138458\pi$
$822$	7.43762	−	10.2370i	0.259417	−	0.357056i
$823$	15.0609	+	15.0609i	0.524990	+	0.524990i	0.919074	−	0.394084i	$-0.128938\pi$
$823$	15.0609	+	15.0609i	0.524990	+	0.524990i	−0.394084	+	0.919074i	$0.628938\pi$
$824$	−8.88843	−	27.3558i	−0.309643	−	0.952983i
$825$	−9.65615	+	3.13747i	−0.336184	+	0.109233i
$826$	−16.2227	+	2.56943i	−0.564461	+	0.0894018i
$827$	35.3771	+	5.60318i	1.23018	+	0.194842i	0.737487	−	0.675361i	$-0.236012\pi$
$827$	35.3771	+	5.60318i	1.23018	+	0.194842i	0.492694	+	0.870203i	$0.336012\pi$
$828$	−1.24349	−	0.404034i	−0.0432142	−	0.0140411i
$829$			50.0510i			1.73834i	0.494512	+	0.869171i	$0.335347\pi$
$829$			50.0510i			1.73834i	−0.494512	+	0.869171i	$0.664653\pi$
$830$	−25.3339	+	77.9696i	−0.879351	+	2.70636i
$831$	20.2147	−	10.2999i	0.701239	−	0.357299i
$832$	18.4521	−	36.2143i	0.639711	−	1.25550i
$833$	0.0944787	+	0.596515i	0.00327349	+	0.0206680i
$834$	22.9219	−	22.9219i	0.793722	−	0.793722i
$835$	−6.59202	−	3.35880i	−0.228126	−	0.116236i
$836$	−0.0294987	+	0.0214321i	−0.00102024	+	0.000741244i
$837$	3.49250	+	6.85443i	0.120719	+	0.236924i
$838$	26.7851	+	19.4605i	0.925276	+	0.672252i
$839$	−4.53797	+	28.6516i	−0.156668	+	0.989164i	0.776603	+	0.629991i	$0.216941\pi$
$839$	−4.53797	+	28.6516i	−0.156668	+	0.989164i	−0.933271	+	0.359173i	$0.883059\pi$
$840$	−17.4907	−	24.0739i	−0.603486	−	0.830628i
$841$	−24.8921	−	34.2611i	−0.858350	−	1.18142i
$842$	1.44207	−	9.10487i	0.0496970	−	0.313775i
$843$	40.4784	+	29.4093i	1.39415	+	1.01291i
$844$	−0.0884149	−	0.173524i	−0.00304337	−	0.00597294i
$845$	−36.0856	+	26.2177i	−1.24138	+	0.901917i
$846$	2.46421	+	1.25558i	0.0847213	+	0.0431676i
$847$	7.58367	−	7.58367i	0.260578	−	0.260578i
$848$	4.04856	+	25.5616i	0.139028	+	0.877790i
$849$	46.5719	−	91.4025i	1.59834	−	3.13692i
$850$	−4.66404	+	2.37645i	−0.159975	+	0.0815115i
$851$	5.12380	−	15.7695i	0.175642	−	0.540570i
$852$			0.234677i			0.00803991i
$853$	−37.0954	−	12.0530i	−1.27012	−	0.412687i	−0.405031	−	0.914303i	$-0.632739\pi$
$853$	−37.0954	−	12.0530i	−1.27012	−	0.412687i	−0.865091	+	0.501616i	$0.832739\pi$
$854$	14.7517	+	2.33644i	0.504792	+	0.0799512i
$855$	75.0763	−	11.8909i	2.56755	−	0.406661i
$856$	−32.0199	+	10.4039i	−1.09442	+	0.355597i
$857$	−15.0511	−	46.3226i	−0.514137	−	1.58235i	−0.784847	−	0.619690i	$-0.787258\pi$
$857$	−15.0511	−	46.3226i	−0.514137	−	1.58235i	0.270710	−	0.962661i	$-0.412742\pi$
$858$	−8.60238	−	8.60238i	−0.293680	−	0.293680i
$859$	−14.7070	+	20.2424i	−0.501795	+	0.690662i	−0.982509	−	0.186216i	$-0.940378\pi$
$859$	−14.7070	+	20.2424i	−0.501795	+	0.690662i	0.480714	+	0.876878i	$0.340378\pi$
$860$	0.328962			0.0112175
$861$	10.6437	−	17.3266i	0.362737	−	0.590487i
$862$	−3.63026			−0.123647
$863$	−14.5836	+	20.0727i	−0.496433	+	0.683282i	−0.981558	−	0.191163i	$-0.938774\pi$
$863$	−14.5836	+	20.0727i	−0.496433	+	0.683282i	0.485125	+	0.874445i	$0.338774\pi$
$864$	1.12020	+	1.12020i	0.0381100	+	0.0381100i
$865$	4.36434	+	13.4321i	0.148392	+	0.456704i
$866$	−6.86675	+	2.23114i	−0.233342	+	0.0758174i
$867$	−52.1788	+	8.26431i	−1.77208	+	0.280671i
$868$	−0.0126422	−	0.00200233i	−0.000429105	−	6.79635e-5i
$869$	3.92903	+	1.27662i	0.133283	+	0.0433064i
$870$		−	127.047i		−	4.30731i
$871$	11.8487	−	36.4665i	0.401477	−	1.23562i
$872$	−25.7736	+	13.1323i	−0.872805	+	0.444717i
$873$	−39.2918	+	77.1145i	−1.32983	+	2.60993i
$874$	−6.12369	−	38.6635i	−0.207137	−	1.30781i
$875$	−2.58116	+	2.58116i	−0.0872592	+	0.0872592i
$876$	0.251608	+	0.128201i	0.00850104	+	0.00433149i
$877$	−5.25941	+	3.82118i	−0.177598	+	0.129032i	−0.673033	−	0.739613i	$-0.735009\pi$
$877$	−5.25941	+	3.82118i	−0.177598	+	0.129032i	0.495435	+	0.868645i	$0.335009\pi$
$878$	13.1259	+	25.7611i	0.442979	+	0.869394i
$879$	−13.2525	−	9.62847i	−0.446994	−	0.324760i
$880$	1.10485	−	6.97576i	0.0372445	−	0.235153i
$881$	−3.30476	−	4.54861i	−0.111340	−	0.153246i	0.749710	−	0.661766i	$-0.230193\pi$
$881$	−3.30476	−	4.54861i	−0.111340	−	0.153246i	−0.861050	+	0.508520i	$0.830193\pi$
$882$	−5.92140	−	8.15011i	−0.199384	−	0.274428i
$883$	4.40384	−	27.8047i	0.148201	−	0.935704i	−0.795752	−	0.605623i	$-0.792924\pi$
$883$	4.40384	−	27.8047i	0.148201	−	0.935704i	0.943953	−	0.330081i	$-0.107076\pi$
$884$	−0.0541835	−	0.0393666i	−0.00182239	−	0.00132404i
$885$	55.4791	+	108.884i	1.86491	+	3.66009i
$886$	17.5475	−	12.7490i	0.589520	−	0.428312i
$887$	−25.4152	−	12.9497i	−0.853359	−	0.434808i	−0.0281283	−	0.999604i	$-0.508955\pi$
$887$	−25.4152	−	12.9497i	−0.853359	−	0.434808i	−0.825230	+	0.564796i	$0.808955\pi$
$888$	−12.2521	+	12.2521i	−0.411155	+	0.411155i
$889$	0.582670	+	3.67884i	0.0195421	+	0.123384i
$890$	21.5532	−	42.3006i	0.722465	−	1.41792i
$891$	−9.32076	+	4.74917i	−0.312257	+	0.159103i
$892$	−0.0583178	+	0.179484i	−0.00195262	+	0.00600956i
$893$			0.884166i			0.0295875i
$894$	−49.5401	−	16.0965i	−1.65687	−	0.538349i
$895$	−27.3401	−	4.33025i	−0.913880	−	0.144744i
$896$	11.3519	−	1.79797i	0.379241	−	0.0600658i
$897$	132.638	−	43.0965i	4.42864	−	1.43895i
$898$	−2.01093	−	6.18899i	−0.0671055	−	0.206529i
$899$	3.54159	+	3.54159i	0.118119	+	0.118119i
$900$	0.548020	−	0.754285i	0.0182673	−	0.0251428i
$901$	−3.86632			−0.128806
$902$	4.64410	−	1.10960i	0.154632	−	0.0369456i
$903$	−14.5287			−0.483485
$904$	5.69888	−	7.84383i	0.189542	−	0.260882i
$905$	−40.6422	−	40.6422i	−1.35099	−	1.35099i
$906$	10.5501	+	32.4697i	0.350502	+	1.07874i
$907$	46.2401	−	15.0243i	1.53538	−	0.498874i	0.585281	−	0.810831i	$-0.300984\pi$
$907$	46.2401	−	15.0243i	1.53538	−	0.498874i	0.950097	+	0.311956i	$0.100984\pi$
$908$	−0.0113532	+	0.00179817i	−0.000376770	+	5.96745e-5i
$909$	−51.0510	−	8.08569i	−1.69326	−	0.268185i
$910$	−23.1396	−	7.51852i	−0.767071	−	0.249237i
$911$		−	54.7299i		−	1.81328i	−0.421904	−	0.906641i	$-0.638638\pi$
$911$		−	54.7299i		−	1.81328i	0.421904	−	0.906641i	$-0.361362\pi$
$912$	−12.7774	+	39.3248i	−0.423102	+	1.30217i
$913$	8.08895	−	4.12153i	0.267705	−	0.136403i
$914$	−16.5698	+	32.5201i	−0.548081	+	1.07567i
$915$	−17.3833	−	109.754i	−0.574675	−	3.62836i
$916$	−0.281504	+	0.281504i	−0.00930116	+	0.00930116i
$917$	3.73580	+	1.90349i	0.123367	+	0.0628586i
$918$	−9.01315	+	6.54843i	−0.297478	+	0.216131i
$919$	1.38241	+	2.71313i	0.0456015	+	0.0894980i	0.912683	−	0.408669i	$-0.134007\pi$
$919$	1.38241	+	2.71313i	0.0456015	+	0.0894980i	−0.867081	+	0.498167i	$0.834007\pi$
$920$	64.8026	+	47.0819i	2.13648	+	1.55224i
$921$	3.42997	−	21.6560i	0.113021	−	0.713588i
$922$	20.8398	+	28.6835i	0.686321	+	0.944640i
$923$	−10.3368	−	14.2273i	−0.340239	−	0.468298i
$924$	0.00562445	−	0.0355114i	0.000185031	−	0.00116824i
$925$	9.56556	+	6.94979i	0.314514	+	0.228508i
$926$	20.6836	+	40.5938i	0.679705	+	1.33400i
$927$	−58.6133	+	42.5851i	−1.92511	+	1.39868i
$928$	0.918999	+	0.468253i	0.0301676	+	0.0153712i
$929$	2.86379	−	2.86379i	0.0939579	−	0.0939579i	−0.658566	−	0.752523i	$-0.728836\pi$
$929$	2.86379	−	2.86379i	0.0939579	−	0.0939579i	0.752523	+	0.658566i	$0.228836\pi$
$930$	1.39516	+	8.80867i	0.0457490	+	0.288848i
$931$	1.46214	−	2.86962i	0.0479198	−	0.0940479i
$932$	−0.547971	+	0.279205i	−0.0179494	+	0.00914567i
$933$	−3.13276	+	9.64164i	−0.102562	+	0.315653i
$934$		−	33.1326i		−	1.08413i
$935$	1.00348	+	0.326049i	0.0328172	+	0.0106629i
$936$	−101.127	−	16.0169i	−3.30543	−	0.523529i
$937$	11.8716	−	1.88028i	0.387829	−	0.0614261i	0.0405246	−	0.999179i	$-0.487097\pi$
$937$	11.8716	−	1.88028i	0.387829	−	0.0614261i	0.347304	+	0.937752i	$0.387097\pi$
$938$	10.0929	−	3.27938i	0.329545	−	0.107076i
$939$	2.60001	+	8.00202i	0.0848483	+	0.261136i
$940$	0.0139586	+	0.0139586i	0.000455278	+	0.000455278i
$941$	12.4251	−	17.1017i	0.405047	−	0.557499i	−0.556955	−	0.830543i	$-0.688030\pi$
$941$	12.4251	−	17.1017i	0.405047	−	0.557499i	0.962002	+	0.273044i	$0.0880304\pi$
$942$	−21.6525			−0.705476
$943$	−12.8362	+	53.2110i	−0.418003	+	1.73279i
$944$	−46.7014			−1.52000
$945$	−25.4021	+	34.9630i	−0.826331	+	1.13735i
$946$	−2.41230	−	2.41230i	−0.0784307	−	0.0784307i
$947$	12.7988	+	39.3908i	0.415907	+	1.28003i	0.911438	+	0.411439i	$0.134974\pi$
$947$	12.7988	+	39.3908i	0.415907	+	1.28003i	−0.495531	+	0.868590i	$0.665026\pi$
$948$	−0.513565	+	0.166867i	−0.0166798	+	0.00541960i
$949$	−20.9005	+	3.31032i	−0.678461	+	0.107458i
$950$	27.5704	+	4.36672i	0.894502	+	0.141675i
$951$	106.011	+	34.4450i	3.43764	+	1.11696i
$952$			1.69889i			0.0550613i
$953$	−8.09278	+	24.9070i	−0.262151	+	0.806818i	0.730185	+	0.683249i	$0.239434\pi$
$953$	−8.09278	+	24.9070i	−0.262151	+	0.806818i	−0.992336	+	0.123568i	$0.960566\pi$
$954$	57.4623	−	29.2785i	1.86041	−	0.947926i
$955$	−28.8223	+	56.5669i	−0.932666	+	1.83046i
$956$	−0.0537235	−	0.339197i	−0.00173754	−	0.0109704i
$957$	−9.94816	+	9.94816i	−0.321578	+	0.321578i
$958$	39.7931	+	20.2756i	1.28566	+	0.655076i
$959$	−2.26716	+	1.64719i	−0.0732103	+	0.0531904i
$960$	−37.9968	−	74.5729i	−1.22634	−	2.40683i
$961$	24.7951	+	18.0147i	0.799841	+	0.581119i
$962$	−2.21626	+	13.9929i	−0.0714551	+	0.451150i
$963$	49.8457	+	68.6068i	1.60626	+	2.21082i
$964$	−0.204227	−	0.281095i	−0.00657772	−	0.00905346i
$965$	−6.42414	+	40.5604i	−0.206800	+	1.30569i
$966$	31.2277	+	22.6883i	1.00474	+	0.729983i
$967$	4.03730	+	7.92366i	0.129831	+	0.254808i	0.946766	−	0.321922i	$-0.104329\pi$
$967$	4.03730	+	7.92366i	0.129831	+	0.254808i	−0.816935	+	0.576729i	$0.804329\pi$
$968$	24.4071	−	17.7328i	0.784473	−	0.569953i
$969$	−5.50390	−	2.80438i	−0.176811	−	0.0900895i
$970$	−40.9079	+	40.9079i	−1.31347	+	1.31347i
$971$	−3.73121	−	23.5579i	−0.119740	−	0.756009i	−0.972362	−	0.233480i	$-0.924989\pi$
$971$	−3.73121	−	23.5579i	−0.119740	−	0.756009i	0.852621	−	0.522529i	$-0.175011\pi$
$972$	0.239328	−	0.469708i	0.00767645	−	0.0150659i
$973$	−6.39670	+	3.25928i	−0.205069	+	0.104488i
$974$	5.72930	−	17.6330i	0.183579	−	0.564997i
$975$			99.4495i			3.18493i
$976$	40.3881	+	13.1229i	1.29279	+	0.420054i
$977$	−46.2704	−	7.32851i	−1.48032	−	0.234460i	−0.636580	−	0.771211i	$-0.719651\pi$
$977$	−46.2704	−	7.32851i	−1.48032	−	0.234460i	−0.843741	+	0.536751i	$0.819651\pi$
$978$	−40.5063	+	6.41557i	−1.29525	+	0.205147i
$979$	−4.99993	+	1.62458i	−0.159798	+	0.0519217i
$980$	−0.0222201	−	0.0683865i	−0.000709796	−	0.00218453i
$981$	51.5200	+	51.5200i	1.64491	+	1.64491i
$982$	−27.3278	+	37.6135i	−0.872066	+	1.20030i
$983$	17.8153			0.568221			0.284110	−	0.958792i	$-0.408302\pi$
$983$	17.8153			0.568221			0.284110	+	0.958792i	$0.408302\pi$
$984$	37.1961	−	43.4551i	1.18577	−	1.38530i
$985$	73.7251			2.34908
$986$	−4.26344	+	5.86813i	−0.135776	+	0.186879i
$987$	−0.616483	−	0.616483i	−0.0196229	−	0.0196229i
$988$	0.110365	+	0.339670i	0.00351119	+	0.0108063i
$989$	37.1946	−	12.0853i	1.18272	−	0.384289i
$990$	−17.3830	+	2.75320i	−0.552468	+	0.0875023i
$991$	33.2770	+	5.27056i	1.05708	+	0.167425i	0.660691	−	0.750658i	$-0.270263\pi$
$991$	33.2770	+	5.27056i	1.05708	+	0.167425i	0.396388	+	0.918083i	$0.370263\pi$
$992$	−0.0688598	−	0.0223739i	−0.00218630	−	0.000710372i
$993$		−	11.9294i		−	0.378568i
$994$	1.50408	−	4.62908i	0.0477065	−	0.146826i
$995$	47.8523	−	24.3820i	1.51702	−	0.772960i
$996$	−0.538726	+	1.05731i	−0.0170702	+	0.0335022i
$997$	7.33878	+	46.3353i	0.232422	+	1.46745i	0.777402	+	0.629004i	$0.216537\pi$
$997$	7.33878	+	46.3353i	0.232422	+	1.46745i	−0.544981	+	0.838449i	$0.683463\pi$
$998$	10.9866	−	10.9866i	0.347776	−	0.347776i
$999$	22.4218	+	11.4245i	0.709395	+	0.361455i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	287.2.u.a.8.6	✓	160
41.36	even	20	inner	287.2.u.a.36.6	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
287.2.u.a.8.6	✓	160	1.1	even	1	trivial
287.2.u.a.36.6	yes	160	41.36	even	20	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:	\( N \)	\(=\)	\( 287 = 7 \cdot 41 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	287.u (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.835728 + 1.15028i) q^{2} +(-2.24559 - 2.24559i) q^{3} +(-0.00667062 - 0.0205301i) q^{4} +(3.16801 - 1.02935i) q^{5} +(4.45975 - 0.706356i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-2.67528 - 0.869252i) q^{8} +7.08532i q^{9} +O(q^{10})\)	\(q+(-0.835728 + 1.15028i) q^{2} +(-2.24559 - 2.24559i) q^{3} +(-0.00667062 - 0.0205301i) q^{4} +(3.16801 - 1.02935i) q^{5} +(4.45975 - 0.706356i) q^{6} +(-0.987688 - 0.156434i) q^{7} +(-2.67528 - 0.869252i) q^{8} +7.08532i q^{9} +(-1.46355 + 4.50436i) q^{10} +(0.467304 - 0.238103i) q^{11} +(-0.0311226 + 0.0610815i) q^{12} +(-0.803630 - 5.07392i) q^{13} +(1.00538 - 1.00538i) q^{14} +(-9.42553 - 4.80255i) q^{15} +(3.27062 - 2.37624i) q^{16} +(0.274188 + 0.538124i) q^{17} +(-8.15011 - 5.92140i) q^{18} +(0.503820 - 3.18099i) q^{19} +(-0.0422652 - 0.0581731i) q^{20} +(1.86665 + 2.56923i) q^{21} +(-0.116653 + 0.736521i) q^{22} +(-6.91591 - 5.02470i) q^{23} +(4.05560 + 7.95956i) q^{24} +(4.93164 - 3.58305i) q^{25} +(6.50805 + 3.31602i) q^{26} +(9.17394 - 9.17394i) q^{27} +(0.00337689 + 0.0213208i) q^{28} +(3.83478 - 7.52619i) q^{29} +(13.4015 - 6.82839i) q^{30} +(-0.183232 + 0.563930i) q^{31} +0.122107i q^{32} +(-1.58405 - 0.514690i) q^{33} +(-0.848140 - 0.134332i) q^{34} +(-3.29003 + 0.521090i) q^{35} +(0.145462 - 0.0472635i) q^{36} +(0.599378 + 1.84470i) q^{37} +(3.23798 + 3.23798i) q^{38} +(-9.58931 + 13.1985i) q^{39} -9.37008 q^{40} +(-2.44392 - 5.91838i) q^{41} -4.51535 q^{42} +(-2.68906 + 3.70117i) q^{43} +(-0.00800549 - 0.00800549i) q^{44} +(7.29327 + 22.4464i) q^{45} +(11.5596 - 3.75595i) q^{46} +(-0.271151 + 0.0429461i) q^{47} +(-12.6805 - 2.00840i) q^{48} +(0.951057 + 0.309017i) q^{49} +8.66723i q^{50} +(0.592692 - 1.82412i) q^{51} +(-0.0988072 + 0.0503448i) q^{52} +(-2.90632 + 5.70397i) q^{53} +(2.88569 + 18.2195i) q^{54} +(1.23533 - 1.23533i) q^{55} +(2.50636 + 1.27706i) q^{56} +(-8.27457 + 6.01183i) q^{57} +(5.45239 + 10.7009i) q^{58} +(-9.34577 - 6.79010i) q^{59} +(-0.0357225 + 0.225543i) q^{60} +(6.17439 + 8.49832i) q^{61} +(-0.495546 - 0.682061i) q^{62} +(1.10839 - 6.99809i) q^{63} +(6.40078 + 4.65044i) q^{64} +(-7.76874 - 15.2470i) q^{65} +(1.91588 - 1.39197i) q^{66} +(6.65035 + 3.38852i) q^{67} +(0.00921872 - 0.00921872i) q^{68} +(4.24687 + 26.8137i) q^{69} +(2.15017 - 4.21995i) q^{70} +(3.05016 - 1.55414i) q^{71} +(6.15893 - 18.9552i) q^{72} -4.11921i q^{73} +(-2.62284 - 0.852211i) q^{74} +(-19.1205 - 3.02839i) q^{75} +(-0.0686668 + 0.0108758i) q^{76} +(-0.498798 + 0.162069i) q^{77} +(-7.16798 - 22.0608i) q^{78} +(5.56987 + 5.56987i) q^{79} +(7.91537 - 10.8946i) q^{80} -19.9458 q^{81} +(8.85025 + 2.13496i) q^{82} +17.3098 q^{83} +(0.0402947 - 0.0554609i) q^{84} +(1.42255 + 1.42255i) q^{85} +(-2.01007 - 6.18635i) q^{86} +(-25.5120 + 8.28937i) q^{87} +(-1.45714 + 0.230789i) q^{88} +(-9.90054 - 1.56809i) q^{89} +(-31.9148 - 10.3698i) q^{90} +5.13717i q^{91} +(-0.0570240 + 0.175502i) q^{92} +(1.67782 - 0.854891i) q^{93} +(0.177208 - 0.347791i) q^{94} +(-1.67825 - 10.5960i) q^{95} +(0.274202 - 0.274202i) q^{96} +(10.8837 + 5.54552i) q^{97} +(-1.15028 + 0.835728i) q^{98} +(1.68704 + 3.31100i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6}+O(q^{10}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6	\( 160 q - 4 q^{3} + 36 q^{4} - 28 q^{6} - 48 q^{10} + 8 q^{11} - 16 q^{12} - 16 q^{13} - 32 q^{15} - 28 q^{16} - 20 q^{17} + 12 q^{18} - 40 q^{19} - 4 q^{22} - 36 q^{23} - 108 q^{24} + 40 q^{25} + 20 q^{26} + 20 q^{27} + 12 q^{29} - 4 q^{30} + 20 q^{31} - 32 q^{34} - 4 q^{35} + 140 q^{36} - 44 q^{38} + 80 q^{39} - 64 q^{40} + 4 q^{41} - 72 q^{42} - 8 q^{44} + 8 q^{45} + 40 q^{46} - 56 q^{47} + 120 q^{48} + 24 q^{51} + 16 q^{52} + 12 q^{53} - 52 q^{54} - 72 q^{55} + 48 q^{57} + 36 q^{58} - 48 q^{59} - 52 q^{60} + 8 q^{63} - 96 q^{64} - 96 q^{65} + 24 q^{66} + 20 q^{67} - 80 q^{68} - 68 q^{69} + 8 q^{70} + 60 q^{71} + 100 q^{72} - 40 q^{74} - 120 q^{75} + 4 q^{76} - 12 q^{78} + 12 q^{79} + 200 q^{80} - 56 q^{81} - 68 q^{82} - 40 q^{83} + 132 q^{85} + 80 q^{86} - 16 q^{88} + 8 q^{89} + 140 q^{92} + 64 q^{93} + 128 q^{94} - 68 q^{96} + 4 q^{98} + 96 q^{99}+O(q^{100}) \) 160 * q - 4 * q^3 + 36 * q^4 - 28 * q^6 - 48 * q^10 + 8 * q^11 - 16 * q^12 - 16 * q^13 - 32 * q^15 - 28 * q^16 - 20 * q^17 + 12 * q^18 - 40 * q^19 - 4 * q^22 - 36 * q^23 - 108 * q^24 + 40 * q^25 + 20 * q^26 + 20 * q^27 + 12 * q^29 - 4 * q^30 + 20 * q^31 - 32 * q^34 - 4 * q^35 + 140 * q^36 - 44 * q^38 + 80 * q^39 - 64 * q^40 + 4 * q^41 - 72 * q^42 - 8 * q^44 + 8 * q^45 + 40 * q^46 - 56 * q^47 + 120 * q^48 + 24 * q^51 + 16 * q^52 + 12 * q^53 - 52 * q^54 - 72 * q^55 + 48 * q^57 + 36 * q^58 - 48 * q^59 - 52 * q^60 + 8 * q^63 - 96 * q^64 - 96 * q^65 + 24 * q^66 + 20 * q^67 - 80 * q^68 - 68 * q^69 + 8 * q^70 + 60 * q^71 + 100 * q^72 - 40 * q^74 - 120 * q^75 + 4 * q^76 - 12 * q^78 + 12 * q^79 + 200 * q^80 - 56 * q^81 - 68 * q^82 - 40 * q^83 + 132 * q^85 + 80 * q^86 - 16 * q^88 + 8 * q^89 + 140 * q^92 + 64 * q^93 + 128 * q^94 - 68 * q^96 + 4 * q^98 + 96 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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