LMFDB - Embedded newform 490.2.s.a.13.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [490,2,Mod(13,490)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(490, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([21, 22]))

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

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

chi := DirichletCharacter("490.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 490 = 2 \cdot 5 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	490.s (of order $28$, degree $12$, 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:	$3.91266969904$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			13.15
Character	$\chi$	$=$	490.13
Dual form			490.2.s.a.377.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.846724 + 0.532032i) q^{2} +(-2.67756 - 0.301689i) q^{3} +(0.433884 + 0.900969i) q^{4} +(-2.10481 + 0.754840i) q^{5} +(-2.10665 - 1.67999i) q^{6} +(1.62687 + 2.08646i) q^{7} +(-0.111964 + 0.993712i) q^{8} +(4.15353 + 0.948016i) q^{9} +O(q^{10})$	\(q+(0.846724 + 0.532032i) q^{2} +(-2.67756 - 0.301689i) q^{3} +(0.433884 + 0.900969i) q^{4} +(-2.10481 + 0.754840i) q^{5} +(-2.10665 - 1.67999i) q^{6} +(1.62687 + 2.08646i) q^{7} +(-0.111964 + 0.993712i) q^{8} +(4.15353 + 0.948016i) q^{9} +(-2.18379 - 0.480684i) q^{10} +(-0.835120 - 3.65890i) q^{11} +(-0.889938 - 2.54330i) q^{12} +(-2.23506 - 1.40438i) q^{13} +(0.267445 + 2.63220i) q^{14} +(5.86348 - 1.38613i) q^{15} +(-0.623490 + 0.781831i) q^{16} +(-1.33584 - 3.81762i) q^{17} +(3.01252 + 3.01252i) q^{18} -4.32447 q^{19} +(-1.59333 - 1.56885i) q^{20} +(-3.72657 - 6.07742i) q^{21} +(1.23954 - 3.54239i) q^{22} +(-5.05483 - 1.76876i) q^{23} +(0.599583 - 2.62695i) q^{24} +(3.86043 - 3.17759i) q^{25} +(-1.14530 - 2.37825i) q^{26} +(-3.20543 - 1.12163i) q^{27} +(-1.17396 + 2.37104i) q^{28} +(3.31992 - 6.89388i) q^{29} +(5.70222 + 1.94588i) q^{30} -2.35007i q^{31} +(-0.943883 + 0.330279i) q^{32} +(1.13224 + 10.0489i) q^{33} +(0.900007 - 3.94319i) q^{34} +(-4.99918 - 3.16357i) q^{35} +(0.948016 + 4.15353i) q^{36} +(-4.20314 + 1.47074i) q^{37} +(-3.66164 - 2.30076i) q^{38} +(5.56083 + 4.43461i) q^{39} +(-0.514430 - 2.17609i) q^{40} +(2.99797 - 2.39080i) q^{41} +(0.0780050 - 7.12856i) q^{42} +(-6.43382 + 0.724917i) q^{43} +(2.93421 - 2.33995i) q^{44} +(-9.45798 + 1.13986i) q^{45} +(-3.33901 - 4.18698i) q^{46} +(-4.83236 + 7.69066i) q^{47} +(1.90530 - 1.90530i) q^{48} +(-1.70661 + 6.78878i) q^{49} +(4.95930 - 0.636667i) q^{50} +(2.42507 + 10.6249i) q^{51} +(0.295548 - 2.62306i) q^{52} +(2.10351 + 0.736050i) q^{53} +(-2.11737 - 2.65510i) q^{54} +(4.51965 + 7.07090i) q^{55} +(-2.25549 + 1.38303i) q^{56} +(11.5790 + 1.30464i) q^{57} +(6.47882 - 4.07091i) q^{58} +(5.53152 - 6.93631i) q^{59} +(3.79293 + 4.68139i) q^{60} +(2.11832 - 4.39874i) q^{61} +(1.25031 - 1.98986i) q^{62} +(4.77924 + 10.2085i) q^{63} +(-0.974928 - 0.222521i) q^{64} +(5.76446 + 1.26884i) q^{65} +(-4.38763 + 9.11101i) q^{66} +(-4.26341 + 4.26341i) q^{67} +(2.85996 - 2.85996i) q^{68} +(13.0010 + 6.26095i) q^{69} +(-2.54981 - 5.33840i) q^{70} +(-10.2498 + 4.93606i) q^{71} +(-1.40710 + 4.02127i) q^{72} +(8.12399 + 12.9292i) q^{73} +(-4.34138 - 0.990891i) q^{74} +(-11.2952 + 7.34354i) q^{75} +(-1.87632 - 3.89621i) q^{76} +(6.27551 - 7.69498i) q^{77} +(2.34913 + 6.71343i) q^{78} +0.691548i q^{79} +(0.722168 - 2.11624i) q^{80} +(-3.27097 - 1.57521i) q^{81} +(3.81043 - 0.429333i) q^{82} +(-7.23382 - 11.5126i) q^{83} +(3.85867 - 5.99442i) q^{84} +(5.69339 + 7.02702i) q^{85} +(-5.83335 - 2.80919i) q^{86} +(-10.9691 + 17.4572i) q^{87} +(3.72940 - 0.420202i) q^{88} +(2.57566 - 11.2847i) q^{89} +(-8.61474 - 4.06680i) q^{90} +(-0.705963 - 6.94811i) q^{91} +(-0.599609 - 5.32168i) q^{92} +(-0.708988 + 6.29244i) q^{93} +(-8.18336 + 3.94090i) q^{94} +(9.10218 - 3.26429i) q^{95} +(2.62695 - 0.599583i) q^{96} +(1.95633 + 1.95633i) q^{97} +(-5.05688 + 4.84025i) q^{98} -15.9891i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q + 28 q^{6} + 8 q^{7}+O(q^{10}) $ 336 * q + 28 * q^6 + 8 * q^7	$ 336 q + 28 q^{6} + 8 q^{7} + 8 q^{11} + 44 q^{15} + 56 q^{16} + 28 q^{17} - 16 q^{21} - 20 q^{22} + 8 q^{23} - 8 q^{25} - 28 q^{26} - 8 q^{28} - 24 q^{30} + 8 q^{35} + 76 q^{36} - 24 q^{37} - 56 q^{41} - 112 q^{42} - 24 q^{43} + 112 q^{45} - 68 q^{46} - 84 q^{47} - 32 q^{50} - 80 q^{51} - 100 q^{53} + 84 q^{55} - 20 q^{56} + 92 q^{57} - 80 q^{58} - 112 q^{61} - 32 q^{67} + 52 q^{70} + 16 q^{71} - 84 q^{75} + 16 q^{77} - 80 q^{78} + 12 q^{81} + 140 q^{83} + 40 q^{85} - 8 q^{86} - 28 q^{87} - 8 q^{88} - 84 q^{90} + 124 q^{91} + 8 q^{92} + 20 q^{93} - 56 q^{95} - 32 q^{98}+O(q^{100}) $ 336 * q + 28 * q^6 + 8 * q^7 + 8 * q^11 + 44 * q^15 + 56 * q^16 + 28 * q^17 - 16 * q^21 - 20 * q^22 + 8 * q^23 - 8 * q^25 - 28 * q^26 - 8 * q^28 - 24 * q^30 + 8 * q^35 + 76 * q^36 - 24 * q^37 - 56 * q^41 - 112 * q^42 - 24 * q^43 + 112 * q^45 - 68 * q^46 - 84 * q^47 - 32 * q^50 - 80 * q^51 - 100 * q^53 + 84 * q^55 - 20 * q^56 + 92 * q^57 - 80 * q^58 - 112 * q^61 - 32 * q^67 + 52 * q^70 + 16 * q^71 - 84 * q^75 + 16 * q^77 - 80 * q^78 + 12 * q^81 + 140 * q^83 + 40 * q^85 - 8 * q^86 - 28 * q^87 - 8 * q^88 - 84 * q^90 + 124 * q^91 + 8 * q^92 + 20 * q^93 - 56 * q^95 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/490\mathbb{Z}\right)^\times$.

$n$	$101$	$197$
$\chi(n)$	$e\left(\frac{11}{14}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.846724	+	0.532032i	0.598724	+	0.376203i
$2$	0.846724	+	0.532032i	0.598724	+	0.376203i
$3$	−2.67756	−	0.301689i	−1.54589	−	0.174180i	−0.702579	−	0.711606i	$-0.747968\pi$
$3$	−2.67756	−	0.301689i	−1.54589	−	0.174180i	−0.843311	+	0.537426i	$0.819397\pi$
$4$	0.433884	+	0.900969i	0.216942	+	0.450484i
$5$	−2.10481	+	0.754840i	−0.941299	+	0.337575i
$5$	−2.10481	+	0.754840i	−0.941299	+	0.337575i
$6$	−2.10665	−	1.67999i	−0.860035	−	0.685855i
$7$	1.62687	+	2.08646i	0.614898	+	0.788607i
$7$	1.62687	+	2.08646i	0.614898	+	0.788607i
$8$	−0.111964	+	0.993712i	−0.0395854	+	0.351330i
$9$	4.15353	+	0.948016i	1.38451	+	0.316005i
$10$	−2.18379	−	0.480684i	−0.690575	−	0.152005i
$11$	−0.835120	−	3.65890i	−0.251798	−	1.10320i	−0.929778	−	0.368120i	$-0.880002\pi$
$11$	−0.835120	−	3.65890i	−0.251798	−	1.10320i	0.677980	−	0.735080i	$-0.262855\pi$
$12$	−0.889938	−	2.54330i	−0.256903	−	0.734186i
$13$	−2.23506	−	1.40438i	−0.619895	−	0.389506i	0.185158	−	0.982709i	$-0.440720\pi$
$13$	−2.23506	−	1.40438i	−0.619895	−	0.389506i	−0.805053	+	0.593203i	$0.797863\pi$
$14$	0.267445	+	2.63220i	0.0714776	+	0.703485i
$15$	5.86348	−	1.38613i	1.51394	−	0.357898i
$16$	−0.623490	+	0.781831i	−0.155872	+	0.195458i
$17$	−1.33584	−	3.81762i	−0.323990	−	0.925910i	−0.984545	−	0.175132i	$-0.943965\pi$
$17$	−1.33584	−	3.81762i	−0.323990	−	0.925910i	0.660555	−	0.750778i	$-0.270321\pi$
$18$	3.01252	+	3.01252i	0.710057	+	0.710057i
$19$	−4.32447			−0.992102			−0.496051	−	0.868293i	$-0.665217\pi$
$19$	−4.32447			−0.992102			−0.496051	+	0.868293i	$0.665217\pi$
$20$	−1.59333	−	1.56885i	−0.356279	−	0.350806i
$21$	−3.72657	−	6.07742i	−0.813205	−	1.32620i
$22$	1.23954	−	3.54239i	0.264270	−	0.755240i
$23$	−5.05483	−	1.76876i	−1.05400	−	0.368812i	−0.252998	−	0.967467i	$-0.581416\pi$
$23$	−5.05483	−	1.76876i	−1.05400	−	0.368812i	−0.801007	+	0.598655i	$0.795702\pi$
$24$	0.599583	−	2.62695i	0.122389	−	0.536223i
$25$	3.86043	−	3.17759i	0.772086	−	0.635518i
$26$	−1.14530	−	2.37825i	−0.224613	−	0.466413i
$27$	−3.20543	−	1.12163i	−0.616885	−	0.215857i
$28$	−1.17396	+	2.37104i	−0.221858	+	0.448084i
$29$	3.31992	−	6.89388i	0.616493	−	1.28016i	−0.325821	−	0.945431i	$-0.605641\pi$
$29$	3.31992	−	6.89388i	0.616493	−	1.28016i	0.942314	−	0.334729i	$-0.108645\pi$
$30$	5.70222	+	1.94588i	1.04108	+	0.355268i
$31$		−	2.35007i		−	0.422084i	−0.977477	−	0.211042i	$-0.932314\pi$
$31$		−	2.35007i		−	0.422084i	0.977477	−	0.211042i	$-0.0676857\pi$
$32$	−0.943883	+	0.330279i	−0.166857	+	0.0583856i
$33$	1.13224	+	10.0489i	0.197097	+	1.74928i
$34$	0.900007	−	3.94319i	0.154350	−	0.676251i
$35$	−4.99918	−	3.16357i	−0.845016	−	0.534741i
$36$	0.948016	+	4.15353i	0.158003	+	0.692255i
$37$	−4.20314	+	1.47074i	−0.690991	+	0.241788i	−0.652854	−	0.757484i	$-0.726428\pi$
$37$	−4.20314	+	1.47074i	−0.690991	+	0.241788i	−0.0381378	+	0.999272i	$0.512143\pi$
$38$	−3.66164	−	2.30076i	−0.593996	−	0.373232i
$39$	5.56083	+	4.43461i	0.890445	+	0.710106i
$40$	−0.514430	−	2.17609i	−0.0813386	−	0.344070i
$41$	2.99797	−	2.39080i	0.468204	−	0.373380i	−0.360781	−	0.932650i	$-0.617490\pi$
$41$	2.99797	−	2.39080i	0.468204	−	0.373380i	0.828985	+	0.559270i	$0.188919\pi$
$42$	0.0780050	−	7.12856i	0.0120364	−	1.09996i
$43$	−6.43382	+	0.724917i	−0.981148	+	0.110549i	−0.587943	−	0.808902i	$-0.700062\pi$
$43$	−6.43382	+	0.724917i	−0.981148	+	0.110549i	−0.393205	+	0.919451i	$0.628634\pi$
$44$	2.93421	−	2.33995i	0.442349	−	0.352761i
$45$	−9.45798	+	1.13986i	−1.40991	+	0.169920i
$46$	−3.33901	−	4.18698i	−0.492310	−	0.617337i
$47$	−4.83236	+	7.69066i	−0.704873	+	1.12180i	0.281862	+	0.959455i	$0.409048\pi$
$47$	−4.83236	+	7.69066i	−0.704873	+	1.12180i	−0.986734	+	0.162343i	$0.948095\pi$
$48$	1.90530	−	1.90530i	0.275007	−	0.275007i
$49$	−1.70661	+	6.78878i	−0.243802	+	0.969825i
$50$	4.95930	−	0.636667i	0.701351	−	0.0900384i
$51$	2.42507	+	10.6249i	0.339578	+	1.48779i
$52$	0.295548	−	2.62306i	0.0409851	−	0.363753i
$53$	2.10351	+	0.736050i	0.288939	+	0.101104i	0.470857	−	0.882209i	$-0.343945\pi$
$53$	2.10351	+	0.736050i	0.288939	+	0.101104i	−0.181918	+	0.983314i	$0.558230\pi$
$54$	−2.11737	−	2.65510i	−0.288138	−	0.361313i
$55$	4.51965	+	7.07090i	0.609430	+	0.953440i
$56$	−2.25549	+	1.38303i	−0.301402	+	0.184815i
$57$	11.5790	+	1.30464i	1.53368	+	0.172804i
$58$	6.47882	−	4.07091i	0.850710	−	0.534537i
$59$	5.53152	−	6.93631i	0.720143	−	0.903031i	−0.278203	−	0.960522i	$-0.589739\pi$
$59$	5.53152	−	6.93631i	0.720143	−	0.903031i	0.998346	+	0.0574917i	$0.0183103\pi$
$60$	3.79293	+	4.68139i	0.489665	+	0.604365i
$61$	2.11832	−	4.39874i	0.271223	−	0.563201i	−0.720219	−	0.693747i	$-0.755959\pi$
$61$	2.11832	−	4.39874i	0.271223	−	0.563201i	0.991442	+	0.130546i	$0.0416729\pi$
$62$	1.25031	−	1.98986i	0.158790	−	0.252712i
$63$	4.77924	+	10.2085i	0.602128	+	1.28614i
$64$	−0.974928	−	0.222521i	−0.121866	−	0.0278151i
$65$	5.76446	+	1.26884i	0.714994	+	0.157380i
$66$	−4.38763	+	9.11101i	−0.540080	+	1.12149i
$67$	−4.26341	+	4.26341i	−0.520859	+	0.520859i	−0.917831	−	0.396972i	$-0.870061\pi$
$67$	−4.26341	+	4.26341i	−0.520859	+	0.520859i	0.396972	+	0.917831i	$0.370061\pi$
$68$	2.85996	−	2.85996i	0.346821	−	0.346821i
$69$	13.0010	+	6.26095i	1.56514	+	0.753730i
$70$	−2.54981	−	5.33840i	−0.304761	−	0.638060i
$71$	−10.2498	+	4.93606i	−1.21643	+	0.585802i	−0.928316	−	0.371793i	$-0.878743\pi$
$71$	−10.2498	+	4.93606i	−1.21643	+	0.585802i	−0.288115	+	0.957596i	$0.593029\pi$
$72$	−1.40710	+	4.02127i	−0.165829	+	0.473911i
$73$	8.12399	+	12.9292i	0.950841	+	1.51325i	0.855496	+	0.517810i	$0.173252\pi$
$73$	8.12399	+	12.9292i	0.950841	+	1.51325i	0.0953447	+	0.995444i	$0.469605\pi$
$74$	−4.34138	−	0.990891i	−0.504675	−	0.115189i
$75$	−11.2952	+	7.34354i	−1.30426	+	0.847958i
$76$	−1.87632	−	3.89621i	−0.215228	−	0.446927i
$77$	6.27551	−	7.69498i	0.715161	−	0.876925i
$78$	2.34913	+	6.71343i	0.265987	+	0.760147i
$79$			0.691548i			0.0778052i	0.999243	+	0.0389026i	$0.0123862\pi$
$79$			0.691548i			0.0778052i	−0.999243	+	0.0389026i	$0.987614\pi$
$80$	0.722168	−	2.11624i	0.0807409	−	0.236603i
$81$	−3.27097	−	1.57521i	−0.363441	−	0.175024i
$82$	3.81043	−	0.429333i	0.420792	−	0.0474119i
$83$	−7.23382	−	11.5126i	−0.794015	−	1.26367i	−0.960681	−	0.277654i	$-0.910443\pi$
$83$	−7.23382	−	11.5126i	−0.794015	−	1.26367i	0.166666	−	0.986013i	$-0.446700\pi$
$84$	3.85867	−	5.99442i	0.421015	−	0.654045i
$85$	5.69339	+	7.02702i	0.617535	+	0.762187i
$86$	−5.83335	−	2.80919i	−0.629026	−	0.302923i
$87$	−10.9691	+	17.4572i	−1.17601	+	1.87161i
$88$	3.72940	−	0.420202i	0.397555	−	0.0447937i
$89$	2.57566	−	11.2847i	0.273020	−	1.19618i	−0.633409	−	0.773817i	$-0.718345\pi$
$89$	2.57566	−	11.2847i	0.273020	−	1.19618i	0.906428	−	0.422360i	$-0.138798\pi$
$90$	−8.61474	−	4.06680i	−0.908074	−	0.428679i
$91$	−0.705963	−	6.94811i	−0.0740050	−	0.728360i
$92$	−0.599609	−	5.32168i	−0.0625136	−	0.554824i
$93$	−0.708988	+	6.29244i	−0.0735186	+	0.652496i
$94$	−8.18336	+	3.94090i	−0.844049	+	0.406473i
$95$	9.10218	−	3.26429i	0.933864	−	0.334909i
$96$	2.62695	−	0.599583i	0.268112	−	0.0611947i
$97$	1.95633	+	1.95633i	0.198635	+	0.198635i	0.799415	−	0.600780i	$-0.205143\pi$
$97$	1.95633	+	1.95633i	0.198635	+	0.198635i	−0.600780	+	0.799415i	$0.705143\pi$
$98$	−5.05688	+	4.84025i	−0.510822	+	0.488939i
$99$		−	15.9891i		−	1.60696i
$100$	4.53789	+	2.09942i	0.453789	+	0.209942i
$101$	−12.7314	+	10.1530i	−1.26683	+	1.01026i	−0.267923	+	0.963440i	$0.586337\pi$
$101$	−12.7314	+	10.1530i	−1.26683	+	1.01026i	−0.998903	+	0.0468202i	$0.985091\pi$
$102$	−3.59944	+	10.2866i	−0.356397	+	1.01853i
$103$	−17.5785	−	1.98062i	−1.73206	−	0.195156i	−0.811124	−	0.584875i	$-0.801144\pi$
$103$	−17.5785	−	1.98062i	−1.73206	−	0.195156i	−0.920934	+	0.389719i	$0.872572\pi$
$104$	1.64580	−	2.06377i	0.161384	−	0.202369i
$105$	12.4312	+	9.97884i	1.21316	+	0.973835i
$106$	1.38949	+	1.74237i	0.134959	+	0.169234i
$107$	7.51196	+	11.9552i	0.726208	+	1.15575i	0.981974	+	0.189015i	$0.0605296\pi$
$107$	7.51196	+	11.9552i	0.726208	+	1.15575i	−0.255766	+	0.966739i	$0.582328\pi$
$108$	−0.380231	−	3.37465i	−0.0365878	−	0.324726i
$109$	−8.88515	+	2.02798i	−0.851043	+	0.194245i	−0.625728	−	0.780041i	$-0.715198\pi$
$109$	−8.88515	+	2.02798i	−0.851043	+	0.194245i	−0.225315	+	0.974286i	$0.572341\pi$
$110$	0.0649545	+	8.39170i	0.00619317	+	0.800117i
$111$	11.6979	−	2.66996i	1.11031	−	0.253421i
$112$	−2.64559	−	0.0289497i	−0.249985	−	0.00273549i
$113$	10.7543	−	6.75736i	1.01168	−	0.635679i	0.0791820	−	0.996860i	$-0.474769\pi$
$113$	10.7543	−	6.75736i	1.01168	−	0.635679i	0.932496	+	0.361181i	$0.117626\pi$
$114$	9.11014	+	7.26509i	0.853242	+	0.680438i
$115$	11.9746	−	0.0926872i	1.11663	−	0.00864312i
$116$	7.65162			0.710436
$117$	−7.95202	−	7.95202i	−0.735164	−	0.735164i
$118$	8.37401	−	2.93019i	0.770890	−	0.269746i
$119$	5.79207	−	8.99795i	0.530958	−	0.824841i
$120$	0.720918	+	5.98181i	0.0658105	+	0.546062i
$121$	−2.77946	+	1.33852i	−0.252679	+	0.121684i
$122$	4.13391	−	2.59751i	0.374266	−	0.235167i
$123$	−8.74852	+	5.49706i	−0.788827	+	0.495653i
$124$	2.11734	−	1.01966i	0.190142	−	0.0915677i
$125$	−5.72689	+	9.60222i	−0.512229	+	0.858849i
$126$	−1.38453	+	11.1865i	−0.123343	+	0.996569i
$127$	−3.89121	+	1.36159i	−0.345289	+	0.120822i	−0.497352	−	0.867549i	$-0.665694\pi$
$127$	−3.89121	+	1.36159i	−0.345289	+	0.120822i	0.152063	+	0.988371i	$0.451408\pi$
$128$	−0.707107	−	0.707107i	−0.0625000	−	0.0625000i
$129$	17.4456			1.53600
$130$	4.20585	+	4.14124i	0.368877	+	0.363210i
$131$	5.62901	+	4.48899i	0.491809	+	0.392205i	0.837752	−	0.546051i	$-0.183869\pi$
$131$	5.62901	+	4.48899i	0.491809	+	0.392205i	−0.345943	+	0.938256i	$0.612441\pi$
$132$	−8.56246	+	5.38015i	−0.745267	+	0.468282i
$133$	−7.03534	−	9.02283i	−0.610041	−	0.782378i
$134$	−5.87820	+	1.34166i	−0.507800	+	0.115902i
$135$	7.59346	−	0.0587759i	0.653541	−	0.00505862i
$136$	3.94319	−	0.900007i	0.338126	−	0.0771749i
$137$	−0.753266	−	6.68542i	−0.0643559	−	0.571174i	−0.983968	−	0.178346i	$-0.942925\pi$
$137$	−0.753266	−	6.68542i	−0.0643559	−	0.571174i	0.919612	−	0.392828i	$-0.128503\pi$
$138$	7.67723	+	12.2182i	0.653529	+	1.04009i
$139$	−10.0620	−	12.6174i	−0.853448	−	1.07019i	−0.996754	−	0.0805119i	$-0.974345\pi$
$139$	−10.0620	−	12.6174i	−0.853448	−	1.07019i	0.143305	−	0.989679i	$-0.454227\pi$
$140$	0.681212	−	5.87673i	0.0575729	−	0.496674i
$141$	15.2591	−	19.1343i	1.28505	−	1.61140i
$142$	−11.3049	−	1.27376i	−0.948688	−	0.106891i
$143$	−3.27195	+	9.35070i	−0.273614	+	0.781945i
$144$	−3.33087	+	2.65628i	−0.277573	+	0.221357i
$145$	−1.78401	+	17.0163i	−0.148154	+	1.41313i
$146$			15.2697i			1.26373i
$147$	6.61765	−	17.6625i	0.545815	−	1.45678i
$148$	−3.14876	−	3.14876i	−0.258827	−	0.258827i
$149$	−9.99888	+	2.28218i	−0.819140	+	0.186963i	−0.611503	−	0.791242i	$-0.709435\pi$
$149$	−9.99888	+	2.28218i	−0.819140	+	0.186963i	−0.207637	+	0.978206i	$0.566577\pi$
$150$	−13.4709	+	0.208551i	−1.09989	+	0.0170281i
$151$	−5.16296	+	2.48635i	−0.420155	+	0.202336i	−0.632002	−	0.774967i	$-0.717767\pi$
$151$	−5.16296	+	2.48635i	−0.420155	+	0.202336i	0.211847	+	0.977303i	$0.432052\pi$
$152$	0.484187	−	4.29728i	0.0392728	−	0.348556i
$153$	−1.92930	−	17.1230i	−0.155975	−	1.38431i
$154$	9.40760	−	3.17676i	0.758086	−	0.255990i
$155$	1.77392	+	4.94644i	0.142485	+	0.397307i
$156$	−1.58269	+	6.93424i	−0.126717	+	0.555183i
$157$	9.70841	−	1.09387i	0.774815	−	0.0873007i	0.284302	−	0.958735i	$-0.408238\pi$
$157$	9.70841	−	1.09387i	0.774815	−	0.0873007i	0.490513	+	0.871434i	$0.336809\pi$
$158$	−0.367926	+	0.585550i	−0.0292706	+	0.0465839i
$159$	−5.41022	−	2.60542i	−0.429058	−	0.206624i
$160$	1.73738	−	1.40766i	0.137352	−	0.111285i
$161$	−4.53309	−	13.4242i	−0.357257	−	1.05798i
$162$	−1.93154	−	3.07403i	−0.151756	−	0.241519i
$163$	−14.9033	+	1.67920i	−1.16732	+	0.131525i	−0.674276	−	0.738480i	$-0.735544\pi$
$163$	−14.9033	+	1.67920i	−1.16732	+	0.131525i	−0.493043	+	0.870005i	$0.664115\pi$
$164$	3.45481	+	1.66375i	0.269775	+	0.129917i
$165$	−9.96843	−	20.2963i	−0.776041	−	1.58006i
$166$		−	13.5966i		−	1.05530i
$167$	−5.39842	−	15.4278i	−0.417742	−	1.19384i	−0.940037	−	0.341073i	$-0.889210\pi$
$167$	−5.39842	−	15.4278i	−0.417742	−	1.19384i	0.522295	−	0.852765i	$-0.325076\pi$
$168$	6.45645	−	3.02268i	0.498126	−	0.233205i
$169$	−2.61728	−	5.43483i	−0.201329	−	0.418064i
$170$	1.08214	+	8.97901i	0.0829960	+	0.688659i
$171$	−17.9618	−	4.09967i	−1.37357	−	0.313509i
$172$	−3.44466	−	5.48214i	−0.262653	−	0.418009i
$173$	0.670748	−	1.91689i	0.0509960	−	0.145738i	−0.915568	−	0.402162i	$-0.868259\pi$
$173$	0.670748	−	1.91689i	0.0509960	−	0.145738i	0.966564	+	0.256424i	$0.0825444\pi$
$174$	−18.5756	+	8.94552i	−1.40821	+	0.678158i
$175$	12.9103	+	2.88512i	0.975928	+	0.218094i
$176$	3.38133	+	1.62836i	0.254877	+	0.122743i
$177$	−16.9036	+	16.9036i	−1.27055	+	1.27055i
$178$	8.18470	−	8.18470i	0.613469	−	0.613469i
$179$	−4.85990	+	10.0917i	−0.363246	+	0.754288i	−0.999857	−	0.0168968i	$-0.994621\pi$
$179$	−4.85990	+	10.0917i	−0.363246	+	0.754288i	0.636611	+	0.771185i	$0.280336\pi$
$180$	−5.13064	−	8.02678i	−0.382416	−	0.598281i
$181$	2.49109	+	0.568574i	0.185161	+	0.0422618i	0.314096	−	0.949391i	$-0.398299\pi$
$181$	2.49109	+	0.568574i	0.185161	+	0.0422618i	−0.128935	+	0.991653i	$0.541156\pi$
$182$	3.09886	−	6.25873i	0.229703	−	0.463928i
$183$	−6.99899	+	11.1388i	−0.517380	+	0.823406i
$184$	2.32360	−	4.82501i	0.171298	−	0.355704i
$185$	7.73662	−	6.26832i	0.568808	−	0.460856i
$186$	−3.94810	+	4.95076i	−0.289489	+	0.363007i
$187$	−12.8527	+	8.07590i	−0.939884	+	0.590568i
$188$	−9.02573	−	1.01696i	−0.658269	−	0.0741691i
$189$	−2.87458	−	8.51273i	−0.209095	−	0.619210i
$190$	9.44374	+	2.07870i	0.685121	+	0.150805i
$191$	16.8370	+	21.1130i	1.21828	+	1.52768i	0.775901	+	0.630854i	$0.217295\pi$
$191$	16.8370	+	21.1130i	1.21828	+	1.52768i	0.442383	+	0.896826i	$0.354133\pi$
$192$	2.54330	+	0.889938i	0.183547	+	0.0642257i
$193$	1.45743	−	12.9351i	0.104908	−	0.931087i	−0.825460	−	0.564461i	$-0.809084\pi$
$193$	1.45743	−	12.9351i	0.104908	−	0.931087i	0.930368	−	0.366626i	$-0.119487\pi$
$194$	0.615641	+	2.69730i	0.0442004	+	0.193655i
$195$	−15.0519	−	5.13647i	−1.07789	−	0.367830i
$196$	−6.85695	+	1.40794i	−0.489782	+	0.100567i
$197$	1.64496	−	1.64496i	0.117198	−	0.117198i	−0.646075	−	0.763274i	$-0.723591\pi$
$197$	1.64496	−	1.64496i	0.117198	−	0.117198i	0.763274	+	0.646075i	$0.223591\pi$
$198$	8.50669	−	13.5383i	0.604544	−	0.962126i
$199$	16.6440	+	20.8709i	1.17986	+	1.47950i	0.842975	+	0.537952i	$0.180802\pi$
$199$	16.6440	+	20.8709i	1.17986	+	1.47950i	0.336885	+	0.941546i	$0.390627\pi$
$200$	2.72538	+	4.19194i	0.192713	+	0.296415i
$201$	12.7018	−	10.1293i	0.895913	−	0.714467i
$202$	−16.1817	+	1.82324i	−1.13854	+	0.128283i
$203$	19.7848	−	4.28855i	1.38862	−	0.300997i
$204$	−8.52053	+	6.79490i	−0.596556	+	0.475738i
$205$	−4.50547	+	7.29516i	−0.314676	+	0.509516i
$206$	−13.8304	−	11.0293i	−0.963607	−	0.768451i
$207$	−19.3186	−	12.1387i	−1.34273	−	0.843695i
$208$	2.49153	−	0.871824i	0.172756	−	0.0604501i
$209$	3.61145	+	15.8228i	0.249809	+	1.09449i
$210$	5.21674	+	15.0631i	0.359989	+	1.03945i
$211$	2.14468	−	9.39645i	0.147646	−	0.646878i	−0.845890	−	0.533358i	$-0.820930\pi$
$211$	2.14468	−	9.39645i	0.147646	−	0.646878i	0.993536	−	0.113521i	$-0.0362129\pi$
$212$	0.249521	+	2.21456i	0.0171372	+	0.152096i
$213$	28.9337	−	10.1243i	1.98250	−	0.693708i
$214$			14.1194i			0.965180i
$215$	12.9948	−	6.38232i	0.886235	−	0.435271i
$216$	1.47347	−	3.05969i	0.100257	−	0.208186i
$217$	4.90331	−	3.82324i	0.332858	−	0.259539i
$218$	−8.60222	−	3.01005i	−0.582616	−	0.203866i
$219$	−17.8519	−	37.0698i	−1.20632	−	2.50494i
$220$	−4.40966	+	7.14001i	−0.297299	+	0.481380i
$221$	−2.37571	+	10.4087i	−0.159808	+	0.700163i
$222$	11.3254	+	3.96292i	0.760108	+	0.265973i
$223$	2.10873	−	6.02641i	0.141211	−	0.403558i	−0.851458	−	0.524423i	$-0.824281\pi$
$223$	2.10873	−	6.02641i	0.141211	−	0.403558i	0.992669	+	0.120865i	$0.0385668\pi$
$224$	−2.22469	−	1.43205i	−0.148643	−	0.0956830i
$225$	19.0468	−	9.53845i	1.26979	−	0.635897i
$226$	12.7010			0.844861
$227$	−1.39891	−	1.39891i	−0.0928491	−	0.0928491i	0.659157	−	0.752006i	$-0.270913\pi$
$227$	−1.39891	−	1.39891i	−0.0928491	−	0.0928491i	−0.752006	+	0.659157i	$0.770913\pi$
$228$	3.84851	+	10.9984i	0.254874	+	0.728388i
$229$	0.625891	−	0.784842i	0.0413600	−	0.0518638i	−0.760721	−	0.649079i	$-0.775155\pi$
$229$	0.625891	−	0.784842i	0.0413600	−	0.0518638i	0.802081	+	0.597215i	$0.203726\pi$
$230$	10.1885	+	6.29238i	0.671808	+	0.414907i
$231$	−19.1245	+	18.7105i	−1.25830	+	1.23106i
$232$	6.47882	+	4.07091i	0.425355	+	0.267268i
$233$	−5.81727	−	16.6248i	−0.381102	−	1.08913i	−0.961503	−	0.274796i	$-0.911390\pi$
$233$	−5.81727	−	16.6248i	−0.381102	−	1.08913i	0.580401	−	0.814331i	$-0.302896\pi$
$234$	−2.50244	−	10.9639i	−0.163589	−	0.716732i
$235$	4.36597	−	19.8350i	0.284805	−	1.29389i
$236$	8.64944	+	1.97418i	0.563030	+	0.128508i
$237$	0.208632	−	1.85166i	0.0135521	−	0.120278i
$238$	9.69148	−	4.53721i	0.628206	−	0.294104i
$239$	8.03554	+	6.40813i	0.519776	+	0.414508i	0.847923	−	0.530119i	$-0.177853\pi$
$239$	8.03554	+	6.40813i	0.519776	+	0.414508i	−0.328147	+	0.944627i	$0.606424\pi$
$240$	−2.57209	+	5.44849i	−0.166028	+	0.351699i
$241$	10.2696	+	21.3250i	0.661522	+	1.37367i	0.913861	+	0.406026i	$0.133086\pi$
$241$	10.2696	+	21.3250i	0.661522	+	1.37367i	−0.252339	+	0.967639i	$0.581200\pi$
$242$	−3.06557	−	0.345407i	−0.197063	−	0.0222036i
$243$	16.9094	+	10.6249i	1.08474	+	0.681587i
$244$	4.88224			0.312553
$245$	−1.53235	−	15.5773i	−0.0978985	−	0.995196i
$246$	−10.3322			−0.658757
$247$	9.66547	+	6.07321i	0.614999	+	0.386429i
$248$	2.33529	+	0.263124i	0.148291	+	0.0167084i
$249$	15.8958	+	33.0079i	1.00735	+	2.09179i
$250$	−9.95779	+	5.08354i	−0.629786	+	0.321511i
$251$	10.0037	+	7.97765i	0.631425	+	0.503545i	0.886107	−	0.463480i	$-0.153399\pi$
$251$	10.0037	+	7.97765i	0.631425	+	0.503545i	−0.254682	+	0.967025i	$0.581971\pi$
$252$	−7.12387	+	8.73523i	−0.448761	+	0.550268i
$253$	−2.25033	+	19.9722i	−0.141477	+	1.25564i
$254$	−4.01920	−	0.917355i	−0.252187	−	0.0575600i
$255$	−13.1244	−	20.5329i	−0.821884	−	1.28582i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$	−2.42754	−	6.93750i	−0.151426	−	0.432750i	0.843035	−	0.537859i	$-0.180767\pi$
$257$	−2.42754	−	6.93750i	−0.151426	−	0.432750i	−0.994461	+	0.105109i	$0.966481\pi$
$258$	14.7716	+	9.28164i	0.919642	+	0.577850i
$259$	−9.90658	−	6.37697i	−0.615565	−	0.396245i
$260$	1.35792	+	5.74413i	0.0842147	+	0.356236i
$261$	20.3249	−	25.4866i	1.25808	−	1.57758i
$262$	2.37794	+	6.79575i	0.146909	+	0.419843i
$263$	−18.6374	−	18.6374i	−1.14923	−	1.14923i	−0.986705	−	0.162524i	$-0.948036\pi$
$263$	−18.6374	−	18.6374i	−1.14923	−	1.14923i	−0.162524	−	0.986705i	$-0.551964\pi$
$264$	−10.1125			−0.622379
$265$	−4.98309	+	0.0385707i	−0.306109	+	0.00236938i
$266$	−1.15656	−	11.3829i	−0.0709131	−	0.697929i
$267$	−10.3010	+	29.4384i	−0.630408	+	1.80160i
$268$	−5.69103	−	1.99138i	−0.347635	−	0.121643i
$269$	−0.814582	+	3.56892i	−0.0496660	+	0.217601i	−0.993671	−	0.112331i	$-0.964168\pi$
$269$	−0.814582	+	3.56892i	−0.0496660	+	0.217601i	0.944005	+	0.329931i	$0.107026\pi$
$270$	6.46084	+	3.99020i	0.393194	+	0.242836i
$271$	−9.41398	−	19.5483i	−0.571859	−	1.18748i	−0.963587	−	0.267396i	$-0.913837\pi$
$271$	−9.41398	−	19.5483i	−0.571859	−	1.18748i	0.391728	−	0.920081i	$-0.371877\pi$
$272$	3.81762	+	1.33584i	0.231477	+	0.0809975i
$273$	−0.205907	+	18.8170i	−0.0124620	+	1.13885i
$274$	2.91905	−	6.06147i	0.176346	−	0.366187i
$275$	−14.8504	−	11.4713i	−0.895513	−	0.691743i
$276$			14.4300i			0.868585i
$277$	1.94863	−	0.681854i	0.117082	−	0.0409686i	−0.271102	−	0.962551i	$-0.587388\pi$
$277$	1.94863	−	0.681854i	0.117082	−	0.0409686i	0.388184	+	0.921582i	$0.373102\pi$
$278$	−1.80691	−	16.0367i	−0.108371	−	0.961819i
$279$	2.22790	−	9.76106i	0.133381	−	0.584380i
$280$	3.70341	−	4.61354i	0.221321	−	0.275712i
$281$	−5.00423	−	21.9250i	−0.298528	−	1.30793i	−0.872321	−	0.488934i	$-0.837386\pi$
$281$	−5.00423	−	21.9250i	−0.298528	−	1.30793i	0.573793	−	0.819000i	$-0.305471\pi$
$282$	23.1004	−	8.08316i	1.37561	−	0.481345i
$283$	26.8118	+	16.8470i	1.59379	+	1.00145i	0.976713	+	0.214548i	$0.0688278\pi$
$283$	26.8118	+	16.8470i	1.59379	+	1.00145i	0.617081	+	0.786900i	$0.288315\pi$
$284$	−8.89447	−	7.09310i	−0.527790	−	0.420898i
$285$	−25.3564	+	5.99430i	−1.50199	+	0.355072i
$286$	−7.74531	+	6.17668i	−0.457990	+	0.365235i
$287$	9.86560	+	2.36562i	0.582348	+	0.139638i
$288$	−4.23356	+	0.477007i	−0.249465	+	0.0281079i
$289$	0.501359	−	0.399821i	0.0294917	−	0.0235189i
$290$	−10.5638	+	13.4590i	−0.620326	+	0.790337i
$291$	−4.64798	−	5.82838i	−0.272470	−	0.341666i
$292$	−8.12399	+	12.9292i	−0.475420	+	0.756627i
$293$	−16.1081	+	16.1081i	−0.941047	+	0.941047i	−0.998356	−	0.0573096i	$-0.981748\pi$
$293$	−16.1081	+	16.1081i	−0.941047	+	0.941047i	0.0573096	+	0.998356i	$0.481748\pi$
$294$	15.0003	−	11.4345i	0.874837	−	0.666871i
$295$	−6.40698	+	18.7750i	−0.373029	+	1.09312i
$296$	−0.990891	−	4.34138i	−0.0575944	−	0.252337i
$297$	−1.42701	+	12.6650i	−0.0828033	+	0.734900i
$298$	−9.68048	−	3.38735i	−0.560775	−	0.196224i
$299$	8.81384	+	11.0522i	0.509718	+	0.639166i
$300$	−11.5171	−	6.99037i	−0.664940	−	0.403589i
$301$	−11.9795	−	12.2445i	−0.690485	−	0.705764i
$302$	−5.69442	−	0.641607i	−0.327677	−	0.0369203i
$303$	37.1523	−	23.3443i	2.13434	−	1.34110i
$304$	2.69626	−	3.38101i	0.154641	−	0.193914i
$305$	−1.13831	+	10.8575i	−0.0651796	+	0.621699i
$306$	7.47641	−	15.5249i	0.427398	−	0.887501i
$307$	6.55502	−	10.4323i	0.374115	−	0.595400i	−0.605607	−	0.795764i	$-0.707070\pi$
$307$	6.55502	−	10.4323i	0.374115	−	0.595400i	0.979722	+	0.200364i	$0.0642124\pi$
$308$	9.65578	+	2.31531i	0.550189	+	0.131927i
$309$	46.4699	+	10.6064i	2.64358	+	0.603380i
$310$	−1.12964	+	5.13205i	−0.0641591	+	0.291481i
$311$	−0.523275	+	1.08659i	−0.0296722	+	0.0616149i	−0.915278	−	0.402823i	$-0.868029\pi$
$311$	−0.523275	+	1.08659i	−0.0296722	+	0.0616149i	0.885606	+	0.464437i	$0.153743\pi$
$312$	−5.02934	+	5.02934i	−0.284731	+	0.284731i
$313$	−12.2743	+	12.2743i	−0.693785	+	0.693785i	−0.963063	−	0.269277i	$-0.913215\pi$
$313$	−12.2743	+	12.2743i	−0.693785	+	0.693785i	0.269277	+	0.963063i	$0.413215\pi$
$314$	8.80232	+	4.23897i	0.496744	+	0.239219i
$315$	−17.7651	−	17.8793i	−1.00095	−	1.00738i
$316$	−0.623063	+	0.300051i	−0.0350500	+	0.0168792i
$317$	4.99503	−	14.2750i	0.280549	−	0.801762i	−0.714249	−	0.699892i	$-0.753232\pi$
$317$	4.99503	−	14.2750i	0.280549	−	0.801762i	0.994798	−	0.101870i	$-0.0324827\pi$
$318$	−3.19479	−	5.08448i	−0.179155	−	0.285124i
$319$	−27.9965	−	6.39002i	−1.56750	−	0.357773i
$320$	2.22000	−	0.267551i	0.124102	−	0.0149566i
$321$	−16.5070	−	34.2771i	−0.921329	−	1.91316i
$322$	3.30384	−	13.7784i	0.184116	−	0.767838i
$323$	5.77682	+	16.5092i	0.321431	+	0.918597i
$324$		−	3.63050i		−	0.201694i
$325$	−13.0909	+	1.68058i	−0.726150	+	0.0932220i
$326$	−13.5124	−	6.50723i	−0.748382	−	0.360402i
$327$	24.4023	−	2.74948i	1.34945	−	0.152047i
$328$	2.04010	+	3.24680i	0.112646	+	0.179275i
$329$	−23.9078	+	2.42916i	−1.31808	+	0.133924i
$330$	2.35776	−	22.4889i	0.129790	−	1.23797i
$331$	22.9734	+	11.0634i	1.26273	+	0.608100i	0.940896	−	0.338695i	$-0.109985\pi$
$331$	22.9734	+	11.0634i	1.26273	+	0.608100i	0.321837	+	0.946795i	$0.395700\pi$
$332$	7.23382	−	11.5126i	0.397008	−	0.631834i
$333$	−18.8521	+	2.12413i	−1.03309	+	0.116401i
$334$	3.63711	−	15.9352i	0.199014	−	0.871936i
$335$	5.75547	−	12.1919i	0.314455	−	0.666112i
$336$	7.07500	+	0.875660i	0.385973	+	0.0477712i
$337$	3.23467	+	28.7085i	0.176204	+	1.56385i	0.701336	+	0.712830i	$0.252587\pi$
$337$	3.23467	+	28.7085i	0.176204	+	1.56385i	−0.525133	+	0.851020i	$0.675984\pi$
$338$	0.675393	−	5.99427i	0.0367365	−	0.326046i
$339$	−30.8339	+	14.8488i	−1.67467	+	0.806476i
$340$	−3.86085	+	8.17848i	−0.209384	+	0.443540i
$341$	−8.59865	+	1.96259i	−0.465643	+	0.106280i
$342$	−13.0276	−	13.0276i	−0.704449	−	0.704449i
$343$	−16.9409	+	7.48366i	−0.914724	+	0.404080i
$344$		−	6.47453i		−	0.349083i
$345$	−32.0906	−	3.36442i	−1.72770	−	0.181134i
$346$	1.58778	−	1.26621i	0.0853598	−	0.0680721i
$347$	7.48892	−	21.4021i	0.402026	−	1.14893i	−0.547925	−	0.836527i	$-0.684582\pi$
$347$	7.48892	−	21.4021i	0.402026	−	1.14893i	0.949951	−	0.312398i	$-0.101132\pi$
$348$	−20.4877	−	2.30841i	−1.09826	−	0.123744i
$349$	−2.57871	+	3.23360i	−0.138035	+	0.173091i	−0.846044	−	0.533113i	$-0.821022\pi$
$349$	−2.57871	+	3.23360i	−0.138035	+	0.173091i	0.708009	+	0.706203i	$0.249594\pi$
$350$	9.39650	+	9.31160i	0.502264	+	0.497726i
$351$	5.58914	+	7.00856i	0.298326	+	0.374089i
$352$	1.99671	+	3.17775i	0.106425	+	0.169375i
$353$	−0.722207	−	6.40977i	−0.0384392	−	0.341158i	−0.998182	−	0.0602762i	$-0.980802\pi$
$353$	−0.722207	−	6.40977i	−0.0384392	−	0.341158i	0.959743	−	0.280881i	$-0.0906267\pi$
$354$	−23.3059	+	5.31943i	−1.23870	+	0.282724i
$355$	17.8480	−	18.1264i	0.947273	−	0.962051i
$356$	11.2847	−	2.57566i	0.598088	−	0.136510i
$357$	−18.2232	+	22.3451i	−0.964474	+	1.18263i
$358$	−9.48410	+	5.95925i	−0.501250	+	0.314956i
$359$	−12.9454	−	10.3236i	−0.683231	−	0.544858i	0.219207	−	0.975678i	$-0.429653\pi$
$359$	−12.9454	−	10.3236i	−0.683231	−	0.544858i	−0.902438	+	0.430820i	$0.858224\pi$
$360$	−0.0737354	−	9.52613i	−0.00388620	−	0.502071i
$361$	−0.298939			−0.0157336
$362$	1.80676	+	1.80676i	0.0949614	+	0.0949614i
$363$	7.84600	−	2.74543i	0.411808	−	0.144098i
$364$	5.95372	−	3.65072i	0.312060	−	0.191350i
$365$	−26.8589	−	21.0813i	−1.40586	−	1.10344i
$366$	−11.8524	+	5.70783i	−0.619536	+	0.298353i
$367$	22.2996	−	14.0117i	1.16403	−	0.731407i	0.195595	−	0.980685i	$-0.437336\pi$
$367$	22.2996	−	14.0117i	1.16403	−	0.731407i	0.968432	+	0.249278i	$0.0801933\pi$
$368$	4.53451	−	2.84922i	0.236378	−	0.148526i
$369$	14.7187	−	7.08814i	0.766223	−	0.368994i
$370$	9.88573	−	1.19141i	0.513935	−	0.0619386i
$371$	1.88639	+	5.58634i	0.0979367	+	0.290028i
$372$	−5.97691	+	2.09141i	−0.309888	+	0.108435i
$373$	1.87908	+	1.87908i	0.0972953	+	0.0972953i	0.754079	−	0.656784i	$-0.228084\pi$
$373$	1.87908	+	1.87908i	0.0972953	+	0.0972953i	−0.656784	+	0.754079i	$0.728084\pi$
$374$	−15.1793			−0.784905
$375$	18.2310	−	23.9828i	0.941444	−	1.23847i
$376$	−7.10125	−	5.66306i	−0.366219	−	0.292050i
$377$	−17.1019	+	10.7458i	−0.880791	+	0.553437i
$378$	2.09507	−	8.73730i	0.107759	−	0.449398i
$379$	3.94379	−	0.900143i	0.202579	−	0.0462373i	−0.120027	−	0.992771i	$-0.538298\pi$
$379$	3.94379	−	0.900143i	0.202579	−	0.0462373i	0.322606	+	0.946533i	$0.395441\pi$
$380$	6.89031	+	6.78446i	0.353465	+	0.348036i
$381$	10.8297	−	2.47182i	0.554824	−	0.126635i
$382$	3.02354	+	26.8347i	0.154698	+	1.37298i
$383$	−9.73530	−	15.4936i	−0.497451	−	0.791688i	0.499773	−	0.866157i	$-0.333417\pi$
$383$	−9.73530	−	15.4936i	−0.497451	−	0.791688i	−0.997223	+	0.0744683i	$0.976274\pi$
$384$	1.67999	+	2.10665i	0.0857319	+	0.107504i
$385$	−7.40026	+	20.9335i	−0.377152	+	1.06687i
$386$	8.11592	−	10.1770i	0.413089	−	0.517998i
$387$	−27.4103	−	3.08840i	−1.39334	−	0.156992i
$388$	−0.913771	+	2.61141i	−0.0463897	+	0.132574i
$389$	−7.14344	+	5.69670i	−0.362187	+	0.288834i	−0.787627	−	0.616152i	$-0.788691\pi$
$389$	−7.14344	+	5.69670i	−0.362187	+	0.288834i	0.425441	+	0.904986i	$0.360119\pi$
$390$	−10.0120	−	12.3573i	−0.506979	−	0.625734i
$391$			21.6602i			1.09540i
$392$	−6.55501	−	2.45598i	−0.331078	−	0.124046i
$393$	−13.7177	−	13.7177i	−0.691969	−	0.691969i
$394$	2.26800	−	0.517656i	0.114260	−	0.0260791i
$395$	−0.522008	−	1.45558i	−0.0262651	−	0.0732380i
$396$	14.4056	−	6.93739i	0.723911	−	0.348617i
$397$	3.59281	−	31.8871i	0.180318	−	1.60037i	−0.499054	−	0.866571i	$-0.666319\pi$
$397$	3.59281	−	31.8871i	0.180318	−	1.60037i	0.679372	−	0.733794i	$-0.262252\pi$
$398$	2.98888	+	26.5270i	0.149819	+	1.32968i
$399$	16.1155	+	26.2816i	0.806782	+	1.31573i
$400$	0.0773987	+	4.99940i	0.00386993	+	0.249970i
$401$	2.97459	−	13.0325i	0.148544	−	0.650813i	−0.844747	−	0.535167i	$-0.820249\pi$
$401$	2.97459	−	13.0325i	0.148544	−	0.650813i	0.993290	−	0.115647i	$-0.0368940\pi$
$402$	16.1440	−	1.81899i	0.805190	−	0.0907231i
$403$	−3.30039	+	5.25254i	−0.164404	+	0.261648i
$404$	−14.6715	−	7.06542i	−0.729934	−	0.351518i
$405$	8.07379	+	0.846466i	0.401190	+	0.0420612i
$406$	19.0339	+	6.89495i	0.944639	+	0.342191i
$407$	8.89142	+	14.1506i	0.440731	+	0.701420i
$408$	−10.8296	+	1.22021i	−0.536147	+	0.0604093i
$409$	9.76992	+	4.70495i	0.483092	+	0.232645i	0.659546	−	0.751664i	$-0.270749\pi$
$409$	9.76992	+	4.70495i	0.483092	+	0.232645i	−0.176454	+	0.984309i	$0.556463\pi$
$410$	−7.69616	+	3.77993i	−0.380086	+	0.186678i
$411$			18.1279i			0.894182i
$412$	−5.84254	−	16.6970i	−0.287841	−	0.822603i
$413$	23.4714	+	0.256838i	1.15495	+	0.0126382i
$414$	−9.89934	−	20.5562i	−0.486526	−	1.01028i
$415$	23.9160	+	18.7714i	1.17399	+	0.921449i
$416$	2.57348	+	0.587379i	0.126175	+	0.0287986i
$417$	23.1351	+	36.8193i	1.13293	+	1.80305i
$418$	−5.36034	+	15.3190i	−0.262183	+	0.749275i
$419$	22.8389	−	10.9986i	1.11575	−	0.537319i	0.217176	−	0.976132i	$-0.430315\pi$
$419$	22.8389	−	10.9986i	1.11575	−	0.537319i	0.898578	+	0.438814i	$0.144601\pi$
$420$	−3.59693	+	15.5298i	−0.175512	+	0.757776i
$421$	−1.06794	−	0.514292i	−0.0520481	−	0.0250650i	0.407679	−	0.913125i	$-0.366338\pi$
$421$	−1.06794	−	0.514292i	−0.0520481	−	0.0250650i	−0.459727	+	0.888060i	$0.652053\pi$
$422$	6.81517	−	6.81517i	0.331757	−	0.331757i
$423$	−27.3622	+	27.3622i	−1.33040	+	1.33040i
$424$	−0.966940	+	2.00787i	−0.0469588	+	0.0975109i
$425$	−17.2878	−	10.4929i	−0.838580	−	0.508981i
$426$	29.8853	+	6.82113i	1.44795	+	0.330485i
$427$	12.6240	−	2.73638i	0.610919	−	0.132423i
$428$	−7.51196	+	11.9552i	−0.363104	+	0.577877i
$429$	11.5818	−	24.0499i	0.559177	−	1.16114i
$430$	14.3986	+	1.50956i	0.694361	+	0.0727976i
$431$	1.89812	−	2.38017i	0.0914292	−	0.114649i	−0.734013	−	0.679136i	$-0.762355\pi$
$431$	1.89812	−	2.38017i	0.0914292	−	0.114649i	0.825442	+	0.564487i	$0.190926\pi$
$432$	2.87548	−	1.80678i	0.138346	−	0.0869288i
$433$	−26.5495	−	2.99141i	−1.27589	−	0.143758i	−0.552097	−	0.833780i	$-0.686172\pi$
$433$	−26.5495	−	2.99141i	−1.27589	−	0.143758i	−0.723788	+	0.690022i	$0.757601\pi$
$434$	6.18584	−	0.628513i	0.296930	−	0.0301696i
$435$	9.91041	−	45.0239i	0.475168	−	2.15873i
$436$	−5.68227	−	7.12534i	−0.272131	−	0.341242i
$437$	21.8595	+	7.64896i	1.04568	+	0.365899i
$438$	4.60670	−	40.8856i	0.220117	−	1.95359i
$439$	2.43442	+	10.6659i	0.116188	+	0.509054i	0.999211	+	0.0397235i	$0.0126477\pi$
$439$	2.43442	+	10.6659i	0.116188	+	0.509054i	−0.883022	+	0.469331i	$0.844495\pi$
$440$	−7.53248	+	3.69954i	−0.359097	+	0.176369i
$441$	−13.5243	+	26.5795i	−0.644016	+	1.26569i
$442$	−7.54932	+	7.54932i	−0.359084	+	0.359084i
$443$	5.43717	−	8.65320i	0.258328	−	0.411126i	−0.692229	−	0.721678i	$-0.743371\pi$
$443$	5.43717	−	8.65320i	0.258328	−	0.411126i	0.950556	+	0.310552i	$0.100514\pi$
$444$	7.48106	+	9.38095i	0.355035	+	0.445200i
$445$	3.09688	+	25.6964i	0.146806	+	1.21812i
$446$	4.99176	−	3.98079i	0.236367	−	0.188496i
$447$	27.4611	−	3.09412i	1.29887	−	0.146347i
$448$	−1.12180	−	2.39616i	−0.0529999	−	0.113208i
$449$	−27.4716	+	21.9078i	−1.29646	+	1.03389i	−0.299656	+	0.954047i	$0.596872\pi$
$449$	−27.4716	+	21.9078i	−1.29646	+	1.03389i	−0.996807	+	0.0798476i	$0.974557\pi$
$450$	21.2022	+	2.05708i	0.999480	+	0.0969716i
$451$	−11.2514	−	8.97266i	−0.529806	−	0.422506i
$452$	10.7543	+	6.75736i	0.505839	+	0.317840i
$453$	14.5742	−	5.09974i	0.684757	−	0.239607i
$454$	−0.440227	−	1.92876i	−0.0206609	−	0.0905212i
$455$	6.73063	+	14.0915i	0.315537	+	0.660622i
$456$	−2.59288	+	11.3602i	−0.121423	+	0.531988i
$457$	2.98575	+	26.4992i	0.139667	+	1.23958i	0.846573	+	0.532273i	$0.178662\pi$
$457$	2.98575	+	26.4992i	0.139667	+	1.23958i	−0.706905	+	0.707308i	$0.749909\pi$
$458$	0.947518	−	0.331551i	0.0442746	−	0.0154924i
$459$			13.7354i			0.641116i
$460$	5.27908	+	10.7485i	0.246138	+	0.501152i
$461$	−10.0198	+	20.8062i	−0.466667	+	0.969043i	0.526261	+	0.850323i	$0.323593\pi$
$461$	−10.0198	+	20.8062i	−0.466667	+	0.969043i	−0.992928	+	0.118720i	$0.962121\pi$
$462$	−26.1478	+	5.66779i	−1.21651	+	0.263689i
$463$	0.243834	+	0.0853214i	0.0113319	+	0.00396522i	0.335939	−	0.941884i	$-0.390946\pi$
$463$	0.243834	+	0.0853214i	0.0113319	+	0.00396522i	−0.324607	+	0.945849i	$0.605232\pi$
$464$	3.31992	+	6.89388i	0.154123	+	0.320040i
$465$	−3.25751	−	13.7796i	−0.151063	−	0.639011i
$466$	3.91931	−	17.1716i	0.181558	−	0.795459i
$467$	20.9774	+	7.34032i	0.970720	+	0.339669i	0.768627	−	0.639697i	$-0.220940\pi$
$467$	20.9774	+	7.34032i	0.970720	+	0.339669i	0.202092	+	0.979366i	$0.435226\pi$
$468$	3.71427	−	10.6148i	0.171692	−	0.490668i
$469$	−15.8314	−	1.95943i	−0.731027	−	0.0904779i
$470$	14.2496	−	14.4720i	0.657287	−	0.667542i
$471$	−26.3249			−1.21299
$472$	6.27336	+	6.27336i	0.288755	+	0.288755i
$473$	8.02541	+	22.9353i	0.369009	+	1.05457i
$474$	1.16180	−	1.45685i	0.0533631	−	0.0669152i
$475$	−16.6943	+	13.7414i	−0.765988	+	0.630498i
$476$	10.6200	+	1.31441i	0.486765	+	0.0602460i
$477$	8.03920	+	5.05137i	0.368090	+	0.231286i
$478$	3.39456	+	9.70109i	0.155263	+	0.443717i
$479$	−1.62009	−	7.09806i	−0.0740236	−	0.324319i	0.924336	−	0.381581i	$-0.124620\pi$
$479$	−1.62009	−	7.09806i	−0.0740236	−	0.324319i	−0.998359	+	0.0572620i	$0.981763\pi$
$480$	−5.07663	+	3.24493i	−0.231715	+	0.148110i
$481$	11.4598	+	2.61561i	0.522520	+	0.119262i
$482$	−2.65009	+	23.5202i	−0.120708	+	1.07131i
$483$	8.08768	+	37.3118i	0.368002	+	1.69774i
$484$	−2.41193	−	1.92345i	−0.109633	−	0.0874295i
$485$	−5.59441	−	2.64098i	−0.254029	−	0.119921i
$486$	8.66483	+	17.9927i	0.393045	+	0.816166i
$487$	6.31696	+	0.711750i	0.286249	+	0.0322525i	0.253921	−	0.967225i	$-0.418280\pi$
$487$	6.31696	+	0.711750i	0.286249	+	0.0322525i	0.0323273	+	0.999477i	$0.489708\pi$
$488$	4.13391	+	2.59751i	0.187133	+	0.117584i
$489$	40.4111			1.82745
$490$	6.99014	−	14.0049i	0.315782	−	0.632678i
$491$	−39.7602			−1.79435			−0.897176	−	0.441673i	$-0.854385\pi$
$491$	−39.7602			−1.79435			−0.897176	+	0.441673i	$0.854385\pi$
$492$	−8.74852	−	5.49706i	−0.394414	−	0.247827i
$493$	−30.7531	−	3.46504i	−1.38505	−	0.156058i
$494$	4.95284	+	10.2847i	0.222839	+	0.462729i
$495$	12.0692	+	33.6539i	0.542469	+	1.51263i
$496$	1.83735	+	1.46524i	0.0824997	+	0.0657913i
$497$	−26.9740	−	13.3555i	−1.20995	−	0.599077i
$498$	−4.10194	+	36.4057i	−0.183812	+	1.63138i
$499$	7.29625	+	1.66532i	0.326625	+	0.0745500i	0.382689	−	0.923877i	$-0.374998\pi$
$499$	7.29625	+	1.66532i	0.326625	+	0.0745500i	−0.0560643	+	0.998427i	$0.517855\pi$
$500$	−11.1361	−	0.993506i	−0.498022	−	0.0444309i
$501$	9.80020	+	42.9375i	0.437841	+	1.91831i
$502$	4.22597	+	12.0771i	0.188614	+	0.539029i
$503$	5.81998	+	3.65693i	0.259500	+	0.163055i	0.655498	−	0.755197i	$-0.272459\pi$
$503$	5.81998	+	3.65693i	0.259500	+	0.163055i	−0.395998	+	0.918251i	$0.629601\pi$
$504$	−10.6794	+	3.60621i	−0.475697	+	0.160633i
$505$	19.1334	−	30.9803i	0.851424	−	1.37861i
$506$	−12.5313	+	15.7137i	−0.557083	+	0.698561i
$507$	5.36829	+	15.3417i	0.238414	+	0.681348i
$508$	−2.91509	−	2.91509i	−0.129336	−	0.129336i
$509$	−2.22878			−0.0987890			−0.0493945	−	0.998779i	$-0.515729\pi$
$509$	−2.22878			−0.0987890			−0.0493945	+	0.998779i	$0.515729\pi$
$510$	−0.188619	−	24.3683i	−0.00835218	−	1.07905i
$511$	−13.7597	+	37.9845i	−0.608693	+	1.68034i
$512$	0.330279	−	0.943883i	0.0145964	−	0.0417141i
$513$	13.8618	+	4.85045i	0.612013	+	0.214153i
$514$	1.63552	−	7.16568i	0.0721397	−	0.316065i
$515$	38.4943	−	9.10012i	1.69626	−	0.400999i
$516$	7.56938	+	15.7180i	0.333223	+	0.691945i
$517$	32.1750	+	11.2585i	1.41505	+	0.495149i
$518$	−4.99539	−	10.6701i	−0.219485	−	0.468819i
$519$	−2.37427	+	4.93022i	−0.104219	+	0.216413i
$520$	−1.90628	+	5.58615i	−0.0835958	+	0.244969i
$521$		−	9.37107i		−	0.410554i	−0.978704	−	0.205277i	$-0.934190\pi$
$521$		−	9.37107i		−	0.410554i	0.978704	−	0.205277i	$-0.0658096\pi$
$522$	30.7692	−	10.7666i	1.34673	−	0.471242i
$523$	3.51943	+	31.2358i	0.153894	+	1.36584i	0.798806	+	0.601588i	$0.205465\pi$
$523$	3.51943	+	31.2358i	0.153894	+	1.36584i	−0.644913	+	0.764256i	$0.723106\pi$
$524$	−1.60210	+	7.01926i	−0.0699881	+	0.306638i
$525$	−33.6977	−	11.6200i	−1.47069	−	0.507137i
$526$	−5.86503	−	25.6964i	−0.255728	−	1.12042i
$527$	−8.97167	+	3.13932i	−0.390812	+	0.136751i
$528$	−8.56246	−	5.38015i	−0.372633	−	0.234141i
$529$	4.44066	+	3.54131i	0.193072	+	0.153970i
$530$	−4.23982	−	2.61850i	−0.184166	−	0.113740i
$531$	29.5511	−	23.5662i	1.28241	−	1.02269i
$532$	5.07677	−	10.2535i	0.220106	−	0.444545i
$533$	−10.0582	+	1.13329i	−0.435671	+	0.0490883i
$534$	−24.3843	+	19.4458i	−1.05521	+	0.841502i
$535$	−24.8355	−	19.4931i	−1.07373	−	0.842760i
$536$	−3.75925	−	4.71395i	−0.162375	−	0.203612i
$537$	16.0572	−	25.5549i	0.692920	−	1.10278i
$538$	−2.58851	+	2.58851i	−0.111598	+	0.111598i
$539$	26.2647	+	0.574877i	1.13130	+	0.0247617i
$540$	3.34763	+	6.81597i	0.144059	+	0.293313i
$541$	7.05562	+	30.9127i	0.303345	+	1.32904i	0.865043	+	0.501698i	$0.167291\pi$
$541$	7.05562	+	30.9127i	0.303345	+	1.32904i	−0.561698	+	0.827342i	$0.689852\pi$
$542$	2.42930	−	21.5606i	0.104347	−	0.926107i
$543$	−6.49850	−	2.27392i	−0.278877	−	0.0975834i
$544$	2.52176	+	3.16219i	0.108120	+	0.135578i
$545$	17.1707	−	10.9754i	0.735513	−	0.470133i
$546$	−10.1856	+	15.8232i	−0.435902	+	0.677171i
$547$	0.331516	+	0.0373529i	0.0141746	+	0.00159710i	0.119049	−	0.992888i	$-0.462015\pi$
$547$	0.331516	+	0.0373529i	0.0141746	+	0.00159710i	−0.104874	+	0.994485i	$0.533444\pi$
$548$	5.69653	−	3.57937i	0.243344	−	0.152903i
$549$	12.9686	−	16.2621i	0.553486	−	0.694050i
$550$	−6.47111	−	17.6139i	−0.275929	−	0.751059i
$551$	−14.3569	+	29.8124i	−0.611624	+	1.27005i
$552$	−7.67723	+	12.2182i	−0.326765	+	0.520043i
$553$	−1.44289	+	1.12506i	−0.0613577	+	0.0478423i
$554$	2.01272	+	0.459390i	0.0855122	+	0.0195176i
$555$	−22.6063	+	14.4498i	−0.959586	+	0.613358i
$556$	7.00211	−	14.5400i	0.296955	−	0.616634i
$557$	24.0633	−	24.0633i	1.01960	−	1.01960i	0.0197919	−	0.999804i	$-0.493700\pi$
$557$	24.0633	−	24.0633i	1.01960	−	1.01960i	0.999804	−	0.0197919i	$-0.00630036\pi$
$558$	7.07961	−	7.07961i	0.299704	−	0.299704i
$559$	15.3981	+	7.41531i	0.651268	+	0.313634i
$560$	5.59032	−	1.93607i	0.236234	−	0.0818138i
$561$	36.8503	−	17.7462i	1.55582	−	0.749244i
$562$	7.42759	−	21.2268i	0.313314	−	0.895400i
$563$	−20.2841	−	32.2819i	−0.854871	−	1.36052i	−0.931607	−	0.363468i	$-0.881592\pi$
$563$	−20.2841	−	32.2819i	−0.854871	−	1.36052i	0.0767353	−	0.997052i	$-0.475550\pi$
$564$	23.8601	+	5.44592i	1.00469	+	0.229315i
$565$	−17.5350	+	22.3407i	−0.737702	+	0.939881i
$566$	13.7391	+	28.5294i	0.577496	+	1.19918i
$567$	−2.03481	−	9.38740i	−0.0854539	−	0.394234i
$568$	−3.75740	−	10.7380i	−0.157657	−	0.450558i
$569$			34.1356i			1.43104i	0.698594	+	0.715518i	$0.253809\pi$
$569$			34.1356i			1.43104i	−0.698594	+	0.715518i	$0.746191\pi$
$570$	−24.6591	−	8.41492i	−1.03285	−	0.352462i
$571$	−19.0256	−	9.16225i	−0.796197	−	0.383428i	−0.00886765	−	0.999961i	$-0.502823\pi$
$571$	−19.0256	−	9.16225i	−0.796197	−	0.383428i	−0.787330	+	0.616532i	$0.788537\pi$
$572$	−9.84433	+	1.10919i	−0.411612	+	0.0463776i
$573$	−38.7126	−	61.6108i	−1.61724	−	2.57383i
$574$	7.09485	+	7.25184i	0.296133	+	0.302686i
$575$	−25.1342	+	9.23398i	−1.04817	+	0.385084i
$576$	−3.83844	−	1.84849i	−0.159935	−	0.0770206i
$577$	11.0466	−	17.5805i	0.459875	−	0.731886i	−0.533625	−	0.845721i	$-0.679171\pi$
$577$	11.0466	−	17.5805i	0.459875	−	0.731886i	0.993500	+	0.113835i	$0.0363135\pi$
$578$	0.637230	−	0.0717986i	0.0265053	−	0.00298643i
$579$	−7.80473	+	34.1948i	−0.324354	+	1.42109i
$580$	−16.1052	+	5.77576i	−0.668732	+	0.239825i
$581$	12.2520	−	33.8225i	0.508299	−	1.40319i
$582$	−0.834671	−	7.40791i	−0.0345982	−	0.307068i
$583$	0.936450	−	8.31122i	0.0387838	−	0.344216i
$584$	−13.7575	+	6.62529i	−0.569291	+	0.274156i
$585$	22.7400	+	10.7350i	0.940182	+	0.443836i
$586$	−22.2092	+	5.06910i	−0.917453	+	0.209403i
$587$	−22.8110	−	22.8110i	−0.941510	−	0.941510i	0.0568717	−	0.998381i	$-0.481887\pi$
$587$	−22.8110	−	22.8110i	−0.941510	−	0.941510i	−0.998381	+	0.0568717i	$0.981887\pi$
$588$	18.7846	−	1.70117i	0.774666	−	0.0701551i
$589$			10.1628i			0.418751i
$590$	−15.4139	+	12.4885i	−0.634579	+	0.514145i
$591$	−4.90074	+	3.90821i	−0.201590	+	0.160762i
$592$	1.47074	−	4.20314i	0.0604471	−	0.172748i
$593$	−16.2721	−	1.83342i	−0.668215	−	0.0752897i	−0.228661	−	0.973506i	$-0.573435\pi$
$593$	−16.2721	−	1.83342i	−0.668215	−	0.0752897i	−0.439554	+	0.898216i	$0.644863\pi$
$594$	−7.94649	+	9.96458i	−0.326048	+	0.408852i
$595$	−5.39918	+	23.3110i	−0.221345	+	0.955660i
$596$	−6.39452	−	8.01848i	−0.261930	−	0.328450i
$597$	−38.2687	−	60.9044i	−1.56624	−	2.49265i
$598$	1.58276	+	14.0474i	0.0647240	+	0.574442i
$599$	21.3748	−	4.87866i	0.873351	−	0.199337i	0.237724	−	0.971333i	$-0.423599\pi$
$599$	21.3748	−	4.87866i	0.873351	−	0.199337i	0.635627	+	0.771996i	$0.280742\pi$
$600$	−6.03270	−	12.0464i	−0.246284	−	0.491791i
$601$	23.6148	−	5.38993i	0.963270	−	0.219860i	0.288164	−	0.957581i	$-0.406955\pi$
$601$	23.6148	−	5.38993i	0.963270	−	0.219860i	0.675106	+	0.737721i	$0.264098\pi$
$602$	−3.62882	−	16.7412i	−0.147900	−	0.682321i
$603$	−21.7500	+	13.6664i	−0.885728	+	0.556540i
$604$	−4.48025	−	3.57288i	−0.182299	−	0.145378i
$605$	4.83987	−	4.91538i	0.196769	−	0.199839i
$606$	43.8776			1.78241
$607$	−0.639110	−	0.639110i	−0.0259407	−	0.0259407i	0.694017	−	0.719958i	$-0.255839\pi$
$607$	−0.639110	−	0.639110i	−0.0259407	−	0.0259407i	−0.719958	+	0.694017i	$0.755839\pi$
$608$	4.08180	−	1.42828i	0.165539	−	0.0579245i
$609$	−54.2689	+	5.51400i	−2.19909	+	0.223438i
$610$	−6.74038	+	8.58769i	−0.272910	+	0.347706i
$611$	21.6013	−	10.4026i	0.873894	−	0.420845i
$612$	14.5902	−	9.16764i	0.589774	−	0.370580i
$613$	36.8723	−	23.1684i	1.48926	−	0.935764i	0.491361	−	0.870956i	$-0.336499\pi$
$613$	36.8723	−	23.1684i	1.48926	−	0.935764i	0.997898	−	0.0648078i	$-0.0206434\pi$
$614$	11.1006	−	5.34576i	0.447983	−	0.215737i
$615$	14.2645	−	18.1740i	0.575202	−	0.732846i
$616$	6.94396	+	7.09762i	0.279780	+	0.285971i
$617$	11.5095	−	4.02736i	0.463357	−	0.162136i	−0.0884971	−	0.996076i	$-0.528206\pi$
$617$	11.5095	−	4.02736i	0.463357	−	0.162136i	0.551854	+	0.833941i	$0.313921\pi$
$618$	33.7042	+	33.7042i	1.35578	+	1.35578i
$619$	−25.6986			−1.03291			−0.516457	−	0.856313i	$-0.672749\pi$
$619$	−25.6986			−1.03291			−0.516457	+	0.856313i	$0.672749\pi$
$620$	−3.68691	+	3.74443i	−0.148070	+	0.150380i
$621$	14.2190	+	11.3393i	0.570589	+	0.455029i
$622$	−1.02117	+	0.641644i	−0.0409452	+	0.0257276i
$623$	27.7353	−	12.9847i	1.11119	−	0.520221i
$624$	−6.93424	+	1.58269i	−0.277592	+	0.0633585i
$625$	4.80587	−	24.5337i	0.192235	−	0.981349i
$626$	−16.9233	+	3.86263i	−0.676391	+	0.154382i
$627$	−4.89632	−	43.4561i	−0.195540	−	1.73547i
$628$	5.19787	+	8.27236i	0.207417	+	0.330103i
$629$	11.2295	+	14.0813i	0.447748	+	0.561459i
$630$	−5.52983	−	24.5904i	−0.220314	−	0.979707i
$631$	17.8165	−	22.3412i	0.709264	−	0.889389i	−0.288413	−	0.957506i	$-0.593128\pi$
$631$	17.8165	−	22.3412i	0.709264	−	0.889389i	0.997677	+	0.0681172i	$0.0216992\pi$
$632$	−0.687200	−	0.0774288i	−0.0273353	−	0.00307995i
$633$	−8.57731	+	24.5125i	−0.340917	+	0.974286i
$634$	11.8242	−	9.42945i	0.469597	−	0.374491i
$635$	7.16247	−	5.80314i	0.284234	−	0.230291i
$636$		−	6.00489i		−	0.238109i
$637$	13.3484	−	12.7766i	0.528884	−	0.506227i
$638$	−20.3056	−	20.3056i	−0.803908	−	0.803908i
$639$	−47.2524	+	10.7851i	−1.86928	+	0.426650i
$640$	2.02208	+	0.954571i	0.0799296	+	0.0377327i
$641$	−1.11632	+	0.537591i	−0.0440920	+	0.0212336i	−0.455800	−	0.890082i	$-0.650647\pi$
$641$	−1.11632	+	0.537591i	−0.0440920	+	0.0212336i	0.411708	+	0.911316i	$0.364932\pi$
$642$	4.25965	−	37.8055i	0.168115	−	1.49206i
$643$	−0.412217	−	3.65852i	−0.0162562	−	0.144278i	0.982962	−	0.183808i	$-0.0588425\pi$
$643$	−0.412217	−	3.65852i	−0.0162562	−	0.144278i	−0.999218	+	0.0395300i	$0.987414\pi$
$644$	10.1280	−	9.90872i	0.399098	−	0.390458i
$645$	−36.7197	+	13.1687i	−1.44584	+	0.518516i
$646$	−3.89205	+	17.0522i	−0.153131	+	0.670910i
$647$	−18.6949	+	2.10641i	−0.734973	+	0.0828116i	−0.471513	−	0.881859i	$-0.656292\pi$
$647$	−18.6949	+	2.10641i	−0.734973	+	0.0828116i	−0.263460	+	0.964670i	$0.584864\pi$
$648$	1.93154	−	3.07403i	0.0758781	−	0.120759i
$649$	−29.9987	−	14.4466i	−1.17755	−	0.567080i
$650$	−11.9785	−	5.54176i	−0.469834	−	0.217366i
$651$	−14.2823	+	8.75769i	−0.559769	+	0.343241i
$652$	−7.97922	−	12.6989i	−0.312490	−	0.497325i
$653$	36.8570	−	4.15278i	1.44233	−	0.162511i	0.644133	−	0.764914i	$-0.277218\pi$
$653$	36.8570	−	4.15278i	1.44233	−	0.162511i	0.798192	+	0.602403i	$0.205790\pi$
$654$	22.1249	+	10.6548i	0.865151	+	0.416635i
$655$	−15.2365	−	5.19945i	−0.595338	−	0.203159i
$656$			3.83455i			0.149714i
$657$	21.4861	+	61.4037i	0.838252	+	2.39559i
$658$	−21.5357	−	10.6629i	−0.839551	−	0.415684i
$659$	−3.71408	−	7.71236i	−0.144680	−	0.300431i	0.816018	−	0.578026i	$-0.196177\pi$
$659$	−3.71408	−	7.71236i	−0.144680	−	0.300431i	−0.960698	+	0.277595i	$0.910463\pi$
$660$	13.9612	−	17.7875i	0.543438	−	0.692377i
$661$	24.8229	+	5.66566i	0.965498	+	0.220369i	0.676075	−	0.736833i	$-0.263679\pi$
$661$	24.8229	+	5.66566i	0.965498	+	0.220369i	0.289423	+	0.957201i	$0.406537\pi$
$662$	13.5661	+	21.5903i	0.527260	+	0.839129i
$663$	9.50128	−	27.1531i	0.368999	−	1.05454i
$664$	12.2501	−	5.89934i	0.475396	−	0.228939i
$665$	21.6188	+	13.6808i	0.838342	+	0.530517i
$666$	−17.0927	−	8.23139i	−0.662327	−	0.318960i
$667$	−28.9752	+	28.9752i	−1.12193	+	1.12193i
$668$	11.5577	−	11.5577i	0.447180	−	0.447180i
$669$	−7.46436	+	15.4999i	−0.288589	+	0.599260i
$670$	11.3598	−	7.26105i	0.438865	−	0.280519i
$671$	−17.8636	−	4.07725i	−0.689617	−	0.157401i
$672$	5.52469	+	4.50557i	0.213120	+	0.173806i
$673$	24.4890	−	38.9741i	0.943982	−	1.50234i	0.0812407	−	0.996695i	$-0.474112\pi$
$673$	24.4890	−	38.9741i	0.943982	−	1.50234i	0.862742	−	0.505645i	$-0.168745\pi$
$674$	−12.5350	+	26.0291i	−0.482829	+	1.00260i
$675$	−15.9384	+	5.85556i	−0.613470	+	0.225381i
$676$	3.76102	−	4.71617i	0.144655	−	0.181391i
$677$	−32.8408	+	20.6352i	−1.26217	+	0.793076i	−0.985792	−	0.167972i	$-0.946278\pi$
$677$	−32.8408	+	20.6352i	−1.26217	+	0.793076i	−0.276381	+	0.961048i	$0.589135\pi$
$678$	−34.0078	−	3.83176i	−1.30606	−	0.147158i
$679$	−0.899111	+	7.26448i	−0.0345047	+	0.278785i
$680$	−7.62029	+	4.87082i	−0.292225	+	0.186787i
$681$	3.32364	+	4.16771i	0.127362	+	0.159707i
$682$	−8.32485	−	2.91299i	−0.318775	−	0.111544i
$683$	−2.29995	+	20.4127i	−0.0880053	+	0.781069i	0.869752	+	0.493490i	$0.164279\pi$
$683$	−2.29995	+	20.4127i	−0.0880053	+	0.781069i	−0.957757	+	0.287579i	$0.907150\pi$
$684$	−4.09967	−	17.9618i	−0.156755	−	0.686787i
$685$	6.63191	+	13.5029i	0.253392	+	0.515921i
$686$	−18.3258	−	2.67652i	−0.699684	−	0.102190i
$687$	−1.91264	+	1.91264i	−0.0729717	+	0.0729717i
$688$	3.44466	−	5.48214i	0.131326	−	0.209005i
$689$	−3.66778	−	4.59925i	−0.139731	−	0.175218i
$690$	−25.3819	−	19.9220i	−0.966273	−	0.758416i
$691$	0.0654276	−	0.0521767i	0.00248898	−	0.00198490i	−0.622245	−	0.782823i	$-0.713779\pi$
$691$	0.0654276	−	0.0521767i	0.00248898	−	0.00198490i	0.624734	+	0.780838i	$0.285208\pi$
$692$	2.01808	−	0.227383i	0.0767159	−	0.00864381i
$693$	33.3605	−	26.0121i	1.26726	−	0.988116i
$694$	17.7277	−	14.1373i	0.672933	−	0.536646i
$695$	30.7027	+	18.9619i	1.16462	+	0.719266i
$696$	−16.1193	−	12.8547i	−0.610999	−	0.487256i
$697$	−13.1320	−	8.25138i	−0.497410	−	0.312543i
$698$	−3.90384	+	1.36601i	−0.147762	+	0.0517043i
$699$	10.5606	+	46.2689i	0.399438	+	1.75005i
$700$	3.00217	+	12.8836i	0.113472	+	0.486954i
$701$	−9.97059	+	43.6840i	−0.376584	+	1.64992i	0.331250	+	0.943543i	$0.392530\pi$
$701$	−9.97059	+	43.6840i	−0.376584	+	1.64992i	−0.707834	+	0.706379i	$0.750327\pi$
$702$	1.00368	+	8.90792i	0.0378815	+	0.336208i
$703$	18.1763	−	6.36018i	0.685534	−	0.239879i
$704$			3.75300i			0.141446i
$705$	−17.6742	+	51.7923i	−0.665647	+	1.95061i
$706$	2.79869	−	5.81154i	0.105330	−	0.218720i
$707$	−41.8962	−	10.0461i	−1.57567	−	0.377821i
$708$	−22.5638	−	7.89542i	−0.848000	−	0.296728i
$709$	−9.46646	−	19.6573i	−0.355520	−	0.738245i	0.644124	−	0.764921i	$-0.277222\pi$
$709$	−9.46646	−	19.6573i	−0.355520	−	0.738245i	−0.999644	+	0.0266758i	$0.991508\pi$
$710$	24.7562	−	5.85239i	0.929082	−	0.219636i
$711$	−0.655598	+	2.87236i	−0.0245869	+	0.107722i
$712$	10.9254	+	3.82295i	0.409446	+	0.143271i
$713$	−4.15670	+	11.8792i	−0.155670	+	0.444879i
$714$	−27.3184	+	9.22485i	−1.02236	+	0.345231i
$715$	−0.171458	−	22.1512i	−0.00641216	−	0.828409i
$716$	−11.2009			−0.418598
$717$	−19.5824	−	19.5824i	−0.731318	−	0.731318i
$718$	−5.46868	−	15.6286i	−0.204089	−	0.583254i
$719$	2.55725	−	3.20669i	0.0953693	−	0.119589i	−0.731857	−	0.681458i	$-0.761346\pi$
$719$	2.55725	−	3.20669i	0.0953693	−	0.119589i	0.827226	+	0.561869i	$0.189917\pi$
$720$	5.00578	−	8.10524i	0.186554	−	0.302064i
$721$	−24.4653	−	39.8989i	−0.911137	−	1.48591i
$722$	−0.253119	−	0.159045i	−0.00942011	−	0.00591905i
$723$	−21.0639	−	60.1972i	−0.783376	−	2.23876i
$724$	0.568574	+	2.49109i	0.0211309	+	0.0925805i
$725$	−9.08959	−	37.1627i	−0.337579	−	1.38019i
$726$	8.10406	+	1.84970i	0.300770	+	0.0686487i
$727$	−0.434787	+	3.85884i	−0.0161254	+	0.143117i	−0.999195	−	0.0401155i	$-0.987227\pi$
$727$	−0.434787	+	3.85884i	−0.0161254	+	0.143117i	0.983070	+	0.183232i	$0.0586560\pi$
$728$	6.98346	+	0.0764173i	0.258824	+	0.00283221i
$729$	−33.5553	−	26.7594i	−1.24279	−	0.991090i
$730$	−11.5262	−	32.1398i	−0.426604	−	1.18955i
$731$	11.3620	+	23.5935i	0.420240	+	0.872638i
$732$	−13.0725	−	1.47292i	−0.483173	−	0.0544405i
$733$	9.26228	+	5.81987i	0.342110	+	0.214962i	0.692117	−	0.721785i	$-0.256678\pi$
$733$	9.26228	+	5.81987i	0.342110	+	0.214962i	−0.350007	+	0.936747i	$0.613821\pi$
$734$	26.3363			0.972089
$735$	−0.596520	+	42.1714i	−0.0220030	+	1.55552i
$736$	5.35535			0.197401
$737$	19.1599	+	12.0389i	0.705762	+	0.443460i
$738$	16.2338	+	1.82911i	0.597573	+	0.0673303i
$739$	−10.6414	−	22.0971i	−0.391450	−	0.812854i	−0.999816	−	0.0191971i	$-0.993889\pi$
$739$	−10.6414	−	22.0971i	−0.391450	−	0.812854i	0.608366	−	0.793657i	$-0.291825\pi$
$740$	9.00436	+	4.25073i	0.331007	+	0.156260i
$741$	−24.0476	−	19.1774i	−0.883412	−	0.704498i
$742$	−1.37486	+	5.73371i	−0.0504726	+	0.210491i
$743$	3.44698	−	30.5928i	0.126457	−	1.12234i	−0.756864	−	0.653573i	$-0.773269\pi$
$743$	3.44698	−	30.5928i	0.126457	−	1.12234i	0.883321	−	0.468768i	$-0.155302\pi$
$744$	−6.17349	−	1.40906i	−0.226331	−	0.0516586i
$745$	19.3230	−	12.3511i	0.707941	−	0.452509i
$746$	0.591333	+	2.59080i	0.0216502	+	0.0948559i
$747$	−19.1318	−	54.6755i	−0.699996	−	2.00047i
$748$	−12.8527	−	8.07590i	−0.469942	−	0.295284i
$749$	−12.7231	+	35.1229i	−0.464892	+	1.28336i
$750$	28.1962	−	10.6073i	1.02958	−	0.387325i
$751$	7.16035	−	8.97879i	0.261285	−	0.327641i	−0.633833	−	0.773470i	$-0.718520\pi$
$751$	7.16035	−	8.97879i	0.261285	−	0.327641i	0.895118	+	0.445829i	$0.147091\pi$
$752$	−2.99987	−	8.57314i	−0.109394	−	0.312630i
$753$	−24.3786	−	24.3786i	−0.888406	−	0.888406i
$754$	−20.1977			−0.735556
$755$	8.99023	−	9.13050i	0.327188	−	0.332293i
$756$	6.42247	−	6.28344i	0.233583	−	0.228526i
$757$	2.20799	−	6.31007i	0.0802507	−	0.229343i	−0.896766	−	0.442504i	$-0.854090\pi$
$757$	2.20799	−	6.31007i	0.0802507	−	0.229343i	0.977017	+	0.213161i	$0.0683759\pi$
$758$	3.81820	+	1.33605i	0.138683	+	0.0485274i
$759$	12.0508	−	52.7980i	0.437416	−	1.91645i
$760$	2.22464	+	9.41043i	0.0806962	+	0.341352i
$761$	−4.42696	−	9.19268i	−0.160477	−	0.333234i	0.805190	−	0.593017i	$-0.202063\pi$
$761$	−4.42696	−	9.19268i	−0.160477	−	0.333234i	−0.965667	+	0.259783i	$0.916349\pi$
$762$	10.4849	+	3.66882i	0.379827	+	0.132907i
$763$	−18.6862	−	15.2392i	−0.676487	−	0.551698i
$764$	−11.7168	+	24.3302i	−0.423899	+	0.880236i
$765$	16.9860	+	34.5843i	0.614128	+	1.25040i
$766$		−	18.2983i		−	0.661146i
$767$	−22.1045	+	7.73471i	−0.798148	+	0.279284i
$768$	0.301689	+	2.67756i	0.0108862	+	0.0966181i
$769$	7.43919	−	32.5932i	0.268264	−	1.17534i	−0.643768	−	0.765221i	$-0.722630\pi$
$769$	7.43919	−	32.5932i	0.268264	−	1.17534i	0.912032	−	0.410120i	$-0.134513\pi$
$770$	−17.4033	+	13.7877i	−0.627170	+	0.496874i
$771$	4.40691	+	19.3079i	0.158711	+	0.695359i
$772$	12.2865	−	4.29922i	0.442199	−	0.154732i
$773$	−17.1780	−	10.7937i	−0.617851	−	0.388221i	0.186432	−	0.982468i	$-0.440308\pi$
$773$	−17.1780	−	10.7937i	−0.617851	−	0.388221i	−0.804283	+	0.594246i	$0.797450\pi$
$774$	−21.5658	−	17.1982i	−0.775168	−	0.618176i
$775$	−7.46754	−	9.07227i	−0.268242	−	0.325885i
$776$	−2.16307	+	1.72499i	−0.0776495	+	0.0619234i
$777$	24.6016	+	20.0634i	0.882578	+	0.719771i
$778$	−9.07935	+	1.02300i	−0.325510	+	0.0366762i
$779$	−12.9646	+	10.3389i	−0.464506	+	0.370431i
$780$	−1.90298	−	15.7899i	−0.0681375	−	0.565370i
$781$	26.6204	+	33.3809i	0.952552	+	1.19446i
$782$	−11.5239	+	18.3402i	−0.412095	+	0.655846i
$783$	−18.3741	+	18.3741i	−0.656637	+	0.656637i
$784$	−4.24362	−	5.56701i	−0.151558	−	0.198822i
$785$	−19.6086	+	9.63069i	−0.699862	+	0.343734i
$786$	−4.31687	−	18.9134i	−0.153978	−	0.674620i
$787$	−3.72136	+	33.0280i	−0.132652	+	1.17732i	0.734263	+	0.678865i	$0.237528\pi$
$787$	−3.72136	+	33.0280i	−0.132652	+	1.17732i	−0.866915	+	0.498456i	$0.833901\pi$
$788$	2.19578	+	0.768336i	0.0782214	+	0.0273708i
$789$	44.2800	+	55.5253i	1.57641	+	1.97675i
$790$	0.332416	−	1.51020i	0.0118268	−	0.0537304i
$791$	31.5947	+	11.4450i	1.12338	+	0.406938i
$792$	15.8885	+	1.79021i	0.564574	+	0.0636122i
$793$	−10.9121	+	6.85653i	−0.387500	+	0.243483i
$794$	20.0071	−	25.0880i	0.710024	−	0.890342i
$795$	13.3541	+	1.40006i	0.473623	+	0.0496552i
$796$	−11.5825	+	24.0512i	−0.410530	+	0.852474i
$797$	−15.0742	+	23.9904i	−0.533954	+	0.849783i	−0.999377	−	0.0353056i	$-0.988760\pi$
$797$	−15.0742	+	23.9904i	−0.533954	+	0.849783i	0.465423	+	0.885089i	$0.345902\pi$
$798$	−0.337331	+	30.8272i	−0.0119414	+	1.09127i
$799$	35.8153	+	8.17462i	1.26706	+	0.289197i
$800$	−2.59431	+	4.27429i	−0.0917226	+	0.151119i
$801$	21.3962	−	44.4296i	0.755996	−	1.56984i
$802$	9.45238	−	9.45238i	0.333775	−	0.333775i
$803$	40.5223	−	40.5223i	1.43000	−	1.43000i
$804$	14.6373	+	7.04895i	0.516217	+	0.248597i
$805$	19.6744	+	24.8337i	0.693432	+	0.875271i
$806$	−5.58904	+	2.69154i	−0.196866	+	0.0948055i
$807$	3.25780	−	9.31024i	0.114680	−	0.327736i
$808$	−8.66368	−	13.7882i	−0.304787	−	0.485066i
$809$	−54.9676	−	12.5460i	−1.93256	−	0.441094i	−0.995853	−	0.0909735i	$-0.971002\pi$
$809$	−54.9676	−	12.5460i	−1.93256	−	0.441094i	−0.936705	−	0.350120i	$-0.886141\pi$
$810$	6.38593	+	5.01224i	0.224379	+	0.176112i
$811$	−15.8218	−	32.8542i	−0.555578	−	1.15367i	−0.969892	−	0.243535i	$-0.921693\pi$
$811$	−15.8218	−	32.8542i	−0.555578	−	1.15367i	0.414315	−	0.910134i	$-0.364021\pi$
$812$	12.4482	+	15.9648i	0.436845	+	0.560254i
$813$	19.3090	+	55.1819i	0.677196	+	1.93532i
$814$			16.7122i			0.585762i
$815$	30.1011	−	14.7840i	1.05440	−	0.517862i
$816$	−9.81891	−	4.72854i	−0.343731	−	0.165532i
$817$	27.8229	−	3.13489i	0.973399	−	0.109676i
$818$	5.76925	+	9.18170i	0.201717	+	0.321031i
$819$	3.65468	−	29.5284i	0.127705	−	1.03181i
$820$	−8.52757	−	0.894040i	−0.297796	−	0.0312212i
$821$	−28.3882	−	13.6711i	−0.990757	−	0.477123i	−0.132965	−	0.991121i	$-0.542450\pi$
$821$	−28.3882	−	13.6711i	−0.990757	−	0.477123i	−0.857792	+	0.513997i	$0.828164\pi$
$822$	−9.64461	+	15.3493i	−0.336394	+	0.535369i
$823$	0.541029	−	0.0609594i	0.0188591	−	0.00212491i	−0.102530	−	0.994730i	$-0.532694\pi$
$823$	0.541029	−	0.0609594i	0.0188591	−	0.00212491i	0.121389	+	0.992605i	$0.461265\pi$
$824$	3.93633	−	17.2462i	0.137128	−	0.600799i
$825$	36.3021	+	35.1952i	1.26388	+	1.22534i
$826$	19.7371	+	12.7050i	0.686742	+	0.442063i
$827$	3.90361	+	34.6455i	0.135742	+	1.20474i	0.858195	+	0.513324i	$0.171586\pi$
$827$	3.90361	+	34.6455i	0.135742	+	1.20474i	−0.722453	+	0.691420i	$0.756986\pi$
$828$	2.55454	−	22.6722i	0.0887765	−	0.787913i
$829$	−13.9761	+	6.73054i	−0.485410	+	0.233761i	−0.660550	−	0.750782i	$-0.729677\pi$
$829$	−13.9761	+	6.73054i	−0.485410	+	0.233761i	0.175139	+	0.984544i	$0.443962\pi$
$830$	10.2633	+	28.6182i	0.356243	+	0.993353i
$831$	−5.42327	+	1.23783i	−0.188131	+	0.0429397i
$832$	1.86652	+	1.86652i	0.0647099	+	0.0647099i
$833$	28.1968	−	2.55355i	0.976960	−	0.0884752i
$834$			43.4844i			1.50574i
$835$	23.0082	+	28.3976i	0.796230	+	0.982739i
$836$	−12.6889	+	10.1191i	−0.438855	+	0.349975i
$837$	−2.63590	+	7.53297i	−0.0911100	+	0.260377i
$838$	25.1899	+	2.83822i	0.870170	+	0.0980447i
$839$	−28.3279	+	35.5221i	−0.977988	+	1.22636i	−0.00394516	+	0.999992i	$0.501256\pi$
$839$	−28.3279	+	35.5221i	−0.977988	+	1.22636i	−0.974042	+	0.226365i	$0.927316\pi$
$840$	−11.3079	+	11.2358i	−0.390161	+	0.387671i
$841$	−18.4225	−	23.1011i	−0.635258	−	0.796588i
$842$	−0.630629	−	1.00364i	−0.0217329	−	0.0345877i
$843$	6.78462	+	60.2152i	0.233675	+	2.07392i
$844$	9.39645	−	2.14468i	0.323439	−	0.0738229i
$845$	9.61129	+	9.46364i	0.330638	+	0.325559i
$846$	−37.7258	+	8.61068i	−1.29704	+	0.296041i
$847$	−7.31458	−	3.62164i	−0.251332	−	0.124441i
$848$	−1.88698	+	1.18567i	−0.0647993	+	0.0407161i
$849$	−66.7076	−	53.1975i	−2.28940	−	1.82573i
$850$	−9.05541	−	18.0823i	−0.310598	−	0.620216i
$851$	23.8475			0.817483
$852$	21.6756	+	21.6756i	0.742593	+	0.742593i
$853$	−27.1111	+	9.48658i	−0.928266	+	0.324814i	−0.751723	−	0.659479i	$-0.770777\pi$
$853$	−27.1111	+	9.48658i	−0.928266	+	0.324814i	−0.176543	+	0.984293i	$0.556491\pi$
$854$	12.1449	+	4.39943i	0.415590	+	0.150545i
$855$	40.9008	−	4.92929i	1.39878	−	0.168578i
$856$	−12.7211	+	6.12617i	−0.434799	+	0.209388i
$857$	22.9145	−	14.3981i	0.782743	−	0.491830i	−0.0804163	−	0.996761i	$-0.525625\pi$
$857$	22.9145	−	14.3981i	0.782743	−	0.491830i	0.863160	+	0.504931i	$0.168482\pi$
$858$	22.6020	−	14.2018i	0.771619	−	0.484840i
$859$	24.9398	−	12.0104i	0.850933	−	0.409788i	0.0430095	−	0.999075i	$-0.486305\pi$
$859$	24.9398	−	12.0104i	0.850933	−	0.409788i	0.807924	+	0.589287i	$0.200591\pi$
$860$	11.3885	+	8.93869i	0.388344	+	0.304807i
$861$	−25.7021	−	9.31043i	−0.875924	−	0.317299i
$862$	2.87351	−	1.00548i	0.0978721	−	0.0342469i
$863$	23.0959	+	23.0959i	0.786192	+	0.786192i	0.980868	−	0.194676i	$-0.0623654\pi$
$863$	23.0959	+	23.0959i	0.786192	+	0.786192i	−0.194676	+	0.980868i	$0.562365\pi$
$864$	3.39600			0.115534
$865$	0.0351487	+	4.54099i	0.00119509	+	0.154398i
$866$	−20.8885	−	16.6581i	−0.709822	−	0.566064i
$867$	−1.46304	+	0.919289i	−0.0496875	+	0.0312207i
$868$	5.57209	+	2.75889i	0.189129	+	0.0936428i
$869$	2.53030	−	0.577526i	0.0858347	−	0.0195912i
$870$	32.3456	−	32.8502i	1.09662	−	1.11373i
$871$	15.5165	−	3.54153i	0.525755	−	0.120000i
$872$	−1.02040	−	9.05634i	−0.0345553	−	0.306686i
$873$	6.27103	+	9.98029i	0.212242	+	0.337782i
$874$	14.4394	+	18.1065i	0.488422	+	0.612461i
$875$	−29.3515	+	3.67261i	−0.992263	+	0.124157i
$876$	25.6531	−	32.1679i	0.866737	−	1.08685i
$877$	−21.5408	−	2.42707i	−0.727382	−	0.0819563i	−0.259495	−	0.965744i	$-0.583556\pi$
$877$	−21.5408	−	2.42707i	−0.727382	−	0.0819563i	−0.467887	+	0.883788i	$0.654985\pi$
$878$	−3.61331	+	10.3262i	−0.121943	+	0.348494i
$879$	47.9901	−	38.2708i	1.61867	−	1.29084i
$880$	−8.34621	−	0.875026i	−0.281351	−	0.0294971i
$881$			1.87631i			0.0632146i	0.999500	+	0.0316073i	$0.0100626\pi$
$881$			1.87631i			0.0632146i	−0.999500	+	0.0316073i	$0.989937\pi$
$882$	−25.5925	+	15.3101i	−0.861745	+	0.515518i
$883$	−29.7344	−	29.7344i	−1.00064	−	1.00064i	−1.00000		0.000641683i	$-0.999796\pi$
$883$	−29.7344	−	29.7344i	−1.00064	−	1.00064i	−0.000641683	−	1.00000i	$-0.500204\pi$
$884$	−10.4087	+	2.37571i	−0.350081	+	0.0799038i
$885$	22.8193	−	48.3383i	0.767062	−	1.62487i
$886$	9.20756	−	4.43413i	0.309334	−	0.148967i
$887$	2.87990	−	25.5598i	0.0966976	−	0.858215i	−0.847938	−	0.530095i	$-0.822156\pi$
$887$	2.87990	−	25.5598i	0.0966976	−	0.858215i	0.944636	−	0.328120i	$-0.106415\pi$
$888$	1.34343	+	11.9232i	0.0450824	+	0.400118i
$889$	−9.17139	−	5.90372i	−0.307599	−	0.198004i
$890$	−11.0491	+	23.4054i	−0.370366	+	0.784550i
$891$	−3.03190	+	13.2836i	−0.101573	+	0.445018i
$892$	6.34455	−	0.714859i	0.212431	−	0.0239353i
$893$	20.8974	−	33.2581i	0.699306	−	1.11294i
$894$	24.8982	+	11.9903i	0.832719	+	0.401016i
$895$	2.61154	−	24.9095i	0.0872942	−	0.832633i
$896$	0.324980	−	2.62572i	0.0108568	−	0.0877190i
$897$	−20.2653	−	32.2520i	−0.676638	−	1.07686i
$898$	−34.9165	+	3.93415i	−1.16518	+	0.131284i
$899$	−16.2011	−	7.80202i	−0.540336	−	0.260212i
$900$	16.8580	+	13.0220i	0.561932	+	0.434067i
$901$		−	9.01366i		−	0.300289i
$902$	−4.75306	−	13.5835i	−0.158259	−	0.452280i
$903$	28.3817	+	36.3996i	0.944485	+	1.21130i
$904$	5.51078	+	11.4432i	0.183286	+	0.380597i
$905$	−5.67244	+	0.683634i	−0.188558	+	0.0227247i
$906$	15.0536	+	3.43588i	0.500122	+	0.114150i
$907$	−0.801884	−	1.27619i	−0.0266261	−	0.0423752i	0.833146	−	0.553053i	$-0.186537\pi$
$907$	−0.801884	−	1.27619i	−0.0266261	−	0.0423752i	−0.859772	+	0.510678i	$0.829394\pi$
$908$	0.653411	−	1.86734i	0.0216842	−	0.0619699i
$909$	−62.5056	+	30.1011i	−2.07318	+	0.998391i
$910$	−1.79817	+	15.5126i	−0.0596086	+	0.514236i
$911$	44.3876	+	21.3759i	1.47063	+	0.708216i	0.986037	−	0.166526i	$-0.0532550\pi$
$911$	44.3876	+	21.3759i	1.47063	+	0.708216i	0.484589	+	0.874742i	$0.338969\pi$
$912$	−8.23942	+	8.23942i	−0.272835	+	0.272835i
$913$	−36.0822	+	36.0822i	−1.19415	+	1.19415i
$914$	−11.5703	+	24.0260i	−0.382713	+	0.794711i
$915$	6.32349	−	28.7282i	0.209048	−	0.949725i
$916$	0.978682	+	0.223378i	0.0323366	+	0.00738061i
$917$	−0.208431	+	19.0477i	−0.00688301	+	0.629010i
$918$	−7.30770	+	11.6301i	−0.241190	+	0.383852i
$919$	3.63567	−	7.54954i	0.119930	−	0.249036i	−0.832358	−	0.554238i	$-0.813010\pi$
$919$	3.63567	−	7.54954i	0.119930	−	0.249036i	0.952288	+	0.305202i	$0.0987239\pi$
$920$	−1.24862	+	11.9097i	−0.0411659	+	0.392650i
$921$	−20.6987	+	25.9554i	−0.682047	+	0.855260i
$922$	−19.5536	+	12.2863i	−0.643962	+	0.404628i
$923$	29.8411	+	3.36229i	0.982233	+	0.110671i
$924$	−25.1554	−	9.11243i	−0.827553	−	0.299777i
$925$	−11.5525	+	19.0335i	−0.379844	+	0.625819i
$926$	0.161067	+	0.201971i	0.00529299	+	0.00663719i
$927$	−71.1350	−	24.8912i	−2.33638	−	0.817535i
$928$	−0.856710	+	7.60351i	−0.0281229	+	0.249598i
$929$	−12.5709	−	55.0769i	−0.412439	−	1.80701i	−0.572499	−	0.819906i	$-0.694026\pi$
$929$	−12.5709	−	55.0769i	−0.412439	−	1.80701i	0.160060	−	0.987107i	$-0.448831\pi$
$930$	4.57295	−	13.4006i	0.149953	−	0.439422i
$931$	7.38019	−	29.3579i	0.241876	−	0.962165i
$932$	12.4544	−	12.4544i	0.407958	−	0.407958i
$933$	1.72891	−	2.75155i	0.0566020	−	0.0900816i
$934$	13.8568	+	17.3759i	0.453409	+	0.568556i
$935$	20.9565	−	26.7000i	0.685350	−	0.873182i
$936$	8.79236	−	7.01167i	0.287387	−	0.229184i
$937$	−8.04935	+	0.906944i	−0.262961	+	0.0296286i	−0.242460	−	0.970161i	$-0.577954\pi$
$937$	−8.04935	+	0.906944i	−0.262961	+	0.0296286i	−0.0205003	+	0.999790i	$0.506526\pi$
$938$	−12.3624	−	10.0819i	−0.403646	−	0.329186i
$939$	36.5682	−	29.1622i	1.19336	−	0.951672i
$940$	19.7651	−	4.67249i	0.644665	−	0.152400i
$941$	8.90074	+	7.09811i	0.290156	+	0.231392i	0.757739	−	0.652557i	$-0.226304\pi$
$941$	8.90074	+	7.09811i	0.290156	+	0.231392i	−0.467583	+	0.883949i	$0.654875\pi$
$942$	−22.2899	−	14.0057i	−0.726244	−	0.456329i
$943$	−19.3830	+	6.78240i	−0.631196	+	0.220865i
$944$	1.97418	+	8.64944i	0.0642540	+	0.281515i
$945$	12.4762	+	15.7478i	0.405850	+	0.512277i
$946$	−5.40701	+	23.6897i	−0.175797	+	0.770217i
$947$	−4.98792	−	44.2690i	−0.162086	−	1.43855i	−0.766687	−	0.642022i	$-0.778096\pi$
$947$	−4.98792	−	44.2690i	−0.162086	−	1.43855i	0.604601	−	0.796529i	$-0.293333\pi$
$948$	1.75881	−	0.615435i	0.0571235	−	0.0199884i
$949$		−	40.3069i		−	1.30842i
$950$	−21.4464	+	2.75325i	−0.695812	+	0.0893272i
$951$	−17.6811	+	36.7151i	−0.573348	+	1.19057i
$952$	8.29286	+	6.76310i	0.268773	+	0.219193i
$953$	15.6547	+	5.47782i	0.507106	+	0.177444i	0.571692	−	0.820468i	$-0.306287\pi$
$953$	15.6547	+	5.47782i	0.507106	+	0.177444i	−0.0645864	+	0.997912i	$0.520573\pi$
$954$	4.11950	+	8.55423i	0.133374	+	0.276953i
$955$	−51.3756	−	31.7295i	−1.66248	−	1.02674i
$956$	−2.28704	+	10.0202i	−0.0739680	+	0.324075i
$957$	73.0346	+	25.5559i	2.36087	+	0.826105i
$958$	2.40463	−	6.87204i	0.0776901	−	0.222025i
$959$	12.7234	−	12.4479i	0.410860	−	0.401965i
$960$	−6.02491	+	0.0466348i	−0.194453	+	0.00150513i
$961$	25.4772			0.821845
$962$	8.31166	+	8.31166i	0.267979	+	0.267979i
$963$	19.8674	+	56.7778i	0.640218	+	1.82964i
$964$	−14.7574	+	18.5052i	−0.475303	+	0.596011i
$965$	6.69630	+	28.3260i	0.215562	+	0.911846i
$966$	−13.0030	+	35.8957i	−0.418365	+	1.15492i
$967$	−13.7631	−	8.64790i	−0.442590	−	0.278098i	0.292245	−	0.956343i	$-0.405598\pi$
$967$	−13.7631	−	8.64790i	−0.442590	−	0.278098i	−0.734835	+	0.678246i	$0.762741\pi$
$968$	−1.01890	−	2.91185i	−0.0327487	−	0.0935905i
$969$	−10.4872	−	45.9472i	−0.336896	−	1.47604i
$970$	−3.33184	−	5.21258i	−0.106979	−	0.167366i
$971$	22.1344	+	5.05203i	0.710327	+	0.162128i	0.562393	−	0.826870i	$-0.309881\pi$
$971$	22.1344	+	5.05203i	0.710327	+	0.162128i	0.147934	+	0.988997i	$0.452738\pi$
$972$	−2.23597	+	19.8448i	−0.0717189	+	0.636523i
$973$	9.95604	−	41.5207i	0.319176	−	1.33109i
$974$	4.97005	+	3.96348i	0.159251	+	0.126998i
$975$	35.5586	−	0.550503i	1.13879	−	0.0176302i
$976$	2.11832	+	4.39874i	0.0678059	+	0.140800i
$977$	−33.3045	−	3.75252i	−1.06551	−	0.120054i	−0.438239	−	0.898858i	$-0.644398\pi$
$977$	−33.3045	−	3.75252i	−1.06551	−	0.120054i	−0.627267	+	0.778805i	$0.715826\pi$
$978$	34.2171	+	21.5000i	1.09414	+	0.687495i
$979$	−43.4406			−1.38837
$980$	13.3698	−	8.13934i	0.427082	−	0.260002i
$981$	−38.8273			−1.23966
$982$	−33.6659	−	21.1537i	−1.07432	−	0.675042i
$983$	17.2997	+	1.94921i	0.551775	+	0.0621702i	0.383451	−	0.923561i	$-0.374736\pi$
$983$	17.2997	+	1.94921i	0.551775	+	0.0621702i	0.168325	+	0.985732i	$0.446164\pi$
$984$	−4.48297	−	9.30898i	−0.142912	−	0.296760i
$985$	−2.22064	+	4.70400i	−0.0707555	+	0.149882i
$986$	−24.1959	−	19.2956i	−0.770554	−	0.614497i
$987$	64.7476	+	0.708507i	2.06094	+	0.0225520i
$988$	−1.27809	+	11.3434i	−0.0406614	+	0.360880i
$989$	33.8041	+	7.71556i	1.07491	+	0.245340i
$990$	−7.68567	+	34.9167i	−0.244267	+	1.10973i
$991$	−9.48867	−	41.5726i	−0.301418	−	1.32060i	−0.867989	−	0.496584i	$-0.834587\pi$
$991$	−9.48867	−	41.5726i	−0.301418	−	1.32060i	0.566571	−	0.824013i	$-0.308270\pi$
$992$	0.776177	+	2.21819i	0.0246437	+	0.0704275i
$993$	−58.1750	−	36.5538i	−1.84613	−	1.16000i
$994$	−15.7340	−	25.6595i	−0.499051	−	0.813869i
$995$	−50.7866	−	31.3657i	−1.61004	−	0.994358i
$996$	−22.8422	+	28.6432i	−0.723783	+	0.907595i
$997$	13.2942	+	37.9928i	0.421033	+	1.20324i	0.937818	+	0.347128i	$0.112843\pi$
$997$	13.2942	+	37.9928i	0.421033	+	1.20324i	−0.516785	+	0.856115i	$0.672871\pi$
$998$	5.29190	+	5.29190i	0.167512	+	0.167512i
$999$	15.1225			0.478454

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	490.2.s.a.13.15	✓	336
5.2	odd	4	inner	490.2.s.a.307.1	yes	336
49.34	odd	14	inner	490.2.s.a.83.1	yes	336
245.132	even	28	inner	490.2.s.a.377.15	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
490.2.s.a.13.15	✓	336	1.1	even	1	trivial
490.2.s.a.83.1	yes	336	49.34	odd	14	inner
490.2.s.a.307.1	yes	336	5.2	odd	4	inner
490.2.s.a.377.15	yes	336	245.132	even	28	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:	\( N \)	\(=\)	\( 490 = 2 \cdot 5 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	490.s (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.846724 + 0.532032i) q^{2} +(-2.67756 - 0.301689i) q^{3} +(0.433884 + 0.900969i) q^{4} +(-2.10481 + 0.754840i) q^{5} +(-2.10665 - 1.67999i) q^{6} +(1.62687 + 2.08646i) q^{7} +(-0.111964 + 0.993712i) q^{8} +(4.15353 + 0.948016i) q^{9} +O(q^{10})\)	\(q+(0.846724 + 0.532032i) q^{2} +(-2.67756 - 0.301689i) q^{3} +(0.433884 + 0.900969i) q^{4} +(-2.10481 + 0.754840i) q^{5} +(-2.10665 - 1.67999i) q^{6} +(1.62687 + 2.08646i) q^{7} +(-0.111964 + 0.993712i) q^{8} +(4.15353 + 0.948016i) q^{9} +(-2.18379 - 0.480684i) q^{10} +(-0.835120 - 3.65890i) q^{11} +(-0.889938 - 2.54330i) q^{12} +(-2.23506 - 1.40438i) q^{13} +(0.267445 + 2.63220i) q^{14} +(5.86348 - 1.38613i) q^{15} +(-0.623490 + 0.781831i) q^{16} +(-1.33584 - 3.81762i) q^{17} +(3.01252 + 3.01252i) q^{18} -4.32447 q^{19} +(-1.59333 - 1.56885i) q^{20} +(-3.72657 - 6.07742i) q^{21} +(1.23954 - 3.54239i) q^{22} +(-5.05483 - 1.76876i) q^{23} +(0.599583 - 2.62695i) q^{24} +(3.86043 - 3.17759i) q^{25} +(-1.14530 - 2.37825i) q^{26} +(-3.20543 - 1.12163i) q^{27} +(-1.17396 + 2.37104i) q^{28} +(3.31992 - 6.89388i) q^{29} +(5.70222 + 1.94588i) q^{30} -2.35007i q^{31} +(-0.943883 + 0.330279i) q^{32} +(1.13224 + 10.0489i) q^{33} +(0.900007 - 3.94319i) q^{34} +(-4.99918 - 3.16357i) q^{35} +(0.948016 + 4.15353i) q^{36} +(-4.20314 + 1.47074i) q^{37} +(-3.66164 - 2.30076i) q^{38} +(5.56083 + 4.43461i) q^{39} +(-0.514430 - 2.17609i) q^{40} +(2.99797 - 2.39080i) q^{41} +(0.0780050 - 7.12856i) q^{42} +(-6.43382 + 0.724917i) q^{43} +(2.93421 - 2.33995i) q^{44} +(-9.45798 + 1.13986i) q^{45} +(-3.33901 - 4.18698i) q^{46} +(-4.83236 + 7.69066i) q^{47} +(1.90530 - 1.90530i) q^{48} +(-1.70661 + 6.78878i) q^{49} +(4.95930 - 0.636667i) q^{50} +(2.42507 + 10.6249i) q^{51} +(0.295548 - 2.62306i) q^{52} +(2.10351 + 0.736050i) q^{53} +(-2.11737 - 2.65510i) q^{54} +(4.51965 + 7.07090i) q^{55} +(-2.25549 + 1.38303i) q^{56} +(11.5790 + 1.30464i) q^{57} +(6.47882 - 4.07091i) q^{58} +(5.53152 - 6.93631i) q^{59} +(3.79293 + 4.68139i) q^{60} +(2.11832 - 4.39874i) q^{61} +(1.25031 - 1.98986i) q^{62} +(4.77924 + 10.2085i) q^{63} +(-0.974928 - 0.222521i) q^{64} +(5.76446 + 1.26884i) q^{65} +(-4.38763 + 9.11101i) q^{66} +(-4.26341 + 4.26341i) q^{67} +(2.85996 - 2.85996i) q^{68} +(13.0010 + 6.26095i) q^{69} +(-2.54981 - 5.33840i) q^{70} +(-10.2498 + 4.93606i) q^{71} +(-1.40710 + 4.02127i) q^{72} +(8.12399 + 12.9292i) q^{73} +(-4.34138 - 0.990891i) q^{74} +(-11.2952 + 7.34354i) q^{75} +(-1.87632 - 3.89621i) q^{76} +(6.27551 - 7.69498i) q^{77} +(2.34913 + 6.71343i) q^{78} +0.691548i q^{79} +(0.722168 - 2.11624i) q^{80} +(-3.27097 - 1.57521i) q^{81} +(3.81043 - 0.429333i) q^{82} +(-7.23382 - 11.5126i) q^{83} +(3.85867 - 5.99442i) q^{84} +(5.69339 + 7.02702i) q^{85} +(-5.83335 - 2.80919i) q^{86} +(-10.9691 + 17.4572i) q^{87} +(3.72940 - 0.420202i) q^{88} +(2.57566 - 11.2847i) q^{89} +(-8.61474 - 4.06680i) q^{90} +(-0.705963 - 6.94811i) q^{91} +(-0.599609 - 5.32168i) q^{92} +(-0.708988 + 6.29244i) q^{93} +(-8.18336 + 3.94090i) q^{94} +(9.10218 - 3.26429i) q^{95} +(2.62695 - 0.599583i) q^{96} +(1.95633 + 1.95633i) q^{97} +(-5.05688 + 4.84025i) q^{98} -15.9891i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q + 28 q^{6} + 8 q^{7}+O(q^{10}) \) 336 * q + 28 * q^6 + 8 * q^7	\( 336 q + 28 q^{6} + 8 q^{7} + 8 q^{11} + 44 q^{15} + 56 q^{16} + 28 q^{17} - 16 q^{21} - 20 q^{22} + 8 q^{23} - 8 q^{25} - 28 q^{26} - 8 q^{28} - 24 q^{30} + 8 q^{35} + 76 q^{36} - 24 q^{37} - 56 q^{41} - 112 q^{42} - 24 q^{43} + 112 q^{45} - 68 q^{46} - 84 q^{47} - 32 q^{50} - 80 q^{51} - 100 q^{53} + 84 q^{55} - 20 q^{56} + 92 q^{57} - 80 q^{58} - 112 q^{61} - 32 q^{67} + 52 q^{70} + 16 q^{71} - 84 q^{75} + 16 q^{77} - 80 q^{78} + 12 q^{81} + 140 q^{83} + 40 q^{85} - 8 q^{86} - 28 q^{87} - 8 q^{88} - 84 q^{90} + 124 q^{91} + 8 q^{92} + 20 q^{93} - 56 q^{95} - 32 q^{98}+O(q^{100}) \) 336 * q + 28 * q^6 + 8 * q^7 + 8 * q^11 + 44 * q^15 + 56 * q^16 + 28 * q^17 - 16 * q^21 - 20 * q^22 + 8 * q^23 - 8 * q^25 - 28 * q^26 - 8 * q^28 - 24 * q^30 + 8 * q^35 + 76 * q^36 - 24 * q^37 - 56 * q^41 - 112 * q^42 - 24 * q^43 + 112 * q^45 - 68 * q^46 - 84 * q^47 - 32 * q^50 - 80 * q^51 - 100 * q^53 + 84 * q^55 - 20 * q^56 + 92 * q^57 - 80 * q^58 - 112 * q^61 - 32 * q^67 + 52 * q^70 + 16 * q^71 - 84 * q^75 + 16 * q^77 - 80 * q^78 + 12 * q^81 + 140 * q^83 + 40 * q^85 - 8 * q^86 - 28 * q^87 - 8 * q^88 - 84 * q^90 + 124 * q^91 + 8 * q^92 + 20 * q^93 - 56 * q^95 - 32 * q^98

Introduction

L-functions

Modular forms

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