LMFDB - Embedded newform 261.2.x.a.2.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [261,2,Mod(2,261)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(261, base_ring=CyclotomicField(84))

chi = DirichletCharacter(H, H._module([14, 3]))

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

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

chi := DirichletCharacter("261.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 261 = 3^{2} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	261.x (of order $84$, degree $24$, 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:	$2.08409549276$
Analytic rank:	$0$
Dimension:	$672$
Relative dimension:	$28$ over $\Q(\zeta_{84})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{84}]$

Embedding invariants

Embedding label			2.17
Character	$\chi$	$=$	261.2
Dual form			261.2.x.a.131.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.253664 + 0.187213i) q^{2} +(1.71133 + 0.267109i) q^{3} +(-0.560213 - 1.81617i) q^{4} +(0.760941 - 1.93885i) q^{5} +(0.384097 + 0.388139i) q^{6} +(-2.32357 - 0.716725i) q^{7} +(0.406156 - 1.16073i) q^{8} +(2.85731 + 0.914223i) q^{9} +O(q^{10})$	\(q+(0.253664 + 0.187213i) q^{2} +(1.71133 + 0.267109i) q^{3} +(-0.560213 - 1.81617i) q^{4} +(0.760941 - 1.93885i) q^{5} +(0.384097 + 0.388139i) q^{6} +(-2.32357 - 0.716725i) q^{7} +(0.406156 - 1.16073i) q^{8} +(2.85731 + 0.914223i) q^{9} +(0.556000 - 0.349358i) q^{10} +(-1.67340 - 0.316624i) q^{11} +(-0.473596 - 3.25770i) q^{12} +(1.10477 - 0.0827912i) q^{13} +(-0.455225 - 0.616809i) q^{14} +(1.82010 - 3.11475i) q^{15} +(-2.82038 + 1.92290i) q^{16} +(0.567857 + 0.567857i) q^{17} +(0.553642 + 0.766829i) q^{18} +(2.89717 + 4.61082i) q^{19} +(-3.94756 - 0.295829i) q^{20} +(-3.78495 - 1.84720i) q^{21} +(-0.365205 - 0.393598i) q^{22} +(-0.232339 + 1.54147i) q^{23} +(1.00511 - 1.87790i) q^{24} +(0.485167 + 0.450169i) q^{25} +(0.295741 + 0.185826i) q^{26} +(4.64560 + 2.32775i) q^{27} +4.62151i q^{28} +(3.77330 - 3.84216i) q^{29} +(1.04482 - 0.449354i) q^{30} +(3.89914 + 8.93692i) q^{31} +(-3.53317 - 0.132202i) q^{32} +(-2.77917 - 0.988828i) q^{33} +(0.0377350 + 0.250355i) q^{34} +(-3.15772 + 3.95965i) q^{35} +(0.0596813 - 5.70151i) q^{36} +(6.62616 + 2.31859i) q^{37} +(-0.128296 + 1.71199i) q^{38} +(1.91275 + 0.153411i) q^{39} +(-1.94141 - 1.67072i) q^{40} +(-7.04085 - 1.88659i) q^{41} +(-0.614286 - 1.17716i) q^{42} +(-4.37995 - 1.91095i) q^{43} +(0.362418 + 3.21655i) q^{44} +(3.94678 - 4.84421i) q^{45} +(-0.347518 + 0.347518i) q^{46} +(1.53811 - 8.12908i) q^{47} +(-5.34022 + 2.53737i) q^{48} +(-0.898405 - 0.612522i) q^{49} +(0.0387921 + 0.205021i) q^{50} +(0.820112 + 1.12347i) q^{51} +(-0.769271 - 1.96007i) q^{52} +(0.685523 - 0.546686i) q^{53} +(0.742637 + 1.46018i) q^{54} +(-1.88724 + 3.00353i) q^{55} +(-1.77566 + 2.40593i) q^{56} +(3.72643 + 8.66451i) q^{57} +(1.67645 - 0.268209i) q^{58} +(-7.81229 + 4.51043i) q^{59} +(-6.67656 - 1.56069i) q^{60} +(-3.87427 + 2.04761i) q^{61} +(-0.684032 + 2.99694i) q^{62} +(-5.98389 - 4.17216i) q^{63} +(4.46610 + 3.56159i) q^{64} +(0.680147 - 2.20498i) q^{65} +(-0.519854 - 0.771125i) q^{66} +(0.578592 - 0.848639i) q^{67} +(0.713203 - 1.34945i) q^{68} +(-0.809349 + 2.57590i) q^{69} +(-1.54230 + 0.413257i) q^{70} +(-4.56093 - 2.19643i) q^{71} +(2.22168 - 2.94524i) q^{72} +(-3.82659 + 0.431153i) q^{73} +(1.24675 + 1.82865i) q^{74} +(0.710037 + 0.899981i) q^{75} +(6.75099 - 7.84480i) q^{76} +(3.66132 + 1.93507i) q^{77} +(0.456474 + 0.397005i) q^{78} +(-6.05345 - 7.03424i) q^{79} +(1.58207 + 6.93149i) q^{80} +(7.32839 + 5.22443i) q^{81} +(-1.43282 - 1.79670i) q^{82} +(-9.42246 + 10.1550i) q^{83} +(-1.23444 + 7.90892i) q^{84} +(1.53309 - 0.668882i) q^{85} +(-0.753282 - 1.30472i) q^{86} +(7.48364 - 5.56733i) q^{87} +(-1.04718 + 1.81376i) q^{88} +(1.09506 - 9.71894i) q^{89} +(1.90805 - 0.489914i) q^{90} +(-2.62635 - 0.599447i) q^{91} +(2.92972 - 0.441585i) q^{92} +(4.28558 + 16.3355i) q^{93} +(1.91203 - 1.77410i) q^{94} +(11.1443 - 2.10861i) q^{95} +(-6.01112 - 1.16998i) q^{96} +(0.413543 + 11.0522i) q^{97} +(-0.113221 - 0.323567i) q^{98} +(-4.49195 - 2.43455i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 672 q - 36 q^{2} - 24 q^{3} - 14 q^{4} - 42 q^{5} - 28 q^{6} - 10 q^{7} - 28 q^{9}+O(q^{10}) $ 672 * q - 36 * q^2 - 24 * q^3 - 14 * q^4 - 42 * q^5 - 28 * q^6 - 10 * q^7 - 28 * q^9	$ 672 q - 36 q^{2} - 24 q^{3} - 14 q^{4} - 42 q^{5} - 28 q^{6} - 10 q^{7} - 28 q^{9} - 56 q^{10} - 48 q^{11} - 10 q^{12} - 14 q^{13} - 24 q^{14} - 20 q^{15} - 54 q^{16} - 50 q^{18} - 48 q^{19} - 30 q^{20} - 80 q^{21} - 14 q^{22} - 30 q^{23} - 16 q^{24} + 30 q^{25} + 36 q^{27} - 168 q^{30} - 12 q^{31} + 24 q^{32} - 70 q^{33} - 14 q^{34} + 128 q^{36} - 48 q^{37} - 42 q^{38} - 44 q^{39} - 2 q^{40} - 24 q^{41} - 28 q^{42} - 12 q^{43} + 24 q^{45} - 64 q^{46} - 42 q^{47} - 28 q^{48} + 22 q^{49} - 66 q^{50} - 28 q^{51} + 22 q^{52} - 36 q^{54} + 76 q^{55} - 42 q^{56} - 42 q^{58} - 132 q^{59} - 20 q^{60} - 28 q^{63} - 308 q^{64} - 66 q^{65} - 46 q^{66} - 14 q^{67} + 60 q^{68} - 64 q^{69} - 14 q^{70} + 56 q^{72} - 48 q^{73} + 66 q^{74} + 24 q^{75} - 28 q^{76} + 30 q^{77} + 72 q^{78} - 12 q^{79} + 140 q^{81} - 136 q^{82} + 246 q^{83} + 238 q^{84} + 34 q^{85} + 118 q^{87} + 8 q^{88} - 48 q^{90} - 56 q^{91} + 462 q^{92} + 28 q^{93} + 26 q^{94} - 246 q^{95} + 126 q^{96} - 36 q^{97} - 16 q^{99}+O(q^{100}) $ 672 * q - 36 * q^2 - 24 * q^3 - 14 * q^4 - 42 * q^5 - 28 * q^6 - 10 * q^7 - 28 * q^9 - 56 * q^10 - 48 * q^11 - 10 * q^12 - 14 * q^13 - 24 * q^14 - 20 * q^15 - 54 * q^16 - 50 * q^18 - 48 * q^19 - 30 * q^20 - 80 * q^21 - 14 * q^22 - 30 * q^23 - 16 * q^24 + 30 * q^25 + 36 * q^27 - 168 * q^30 - 12 * q^31 + 24 * q^32 - 70 * q^33 - 14 * q^34 + 128 * q^36 - 48 * q^37 - 42 * q^38 - 44 * q^39 - 2 * q^40 - 24 * q^41 - 28 * q^42 - 12 * q^43 + 24 * q^45 - 64 * q^46 - 42 * q^47 - 28 * q^48 + 22 * q^49 - 66 * q^50 - 28 * q^51 + 22 * q^52 - 36 * q^54 + 76 * q^55 - 42 * q^56 - 42 * q^58 - 132 * q^59 - 20 * q^60 - 28 * q^63 - 308 * q^64 - 66 * q^65 - 46 * q^66 - 14 * q^67 + 60 * q^68 - 64 * q^69 - 14 * q^70 + 56 * q^72 - 48 * q^73 + 66 * q^74 + 24 * q^75 - 28 * q^76 + 30 * q^77 + 72 * q^78 - 12 * q^79 + 140 * q^81 - 136 * q^82 + 246 * q^83 + 238 * q^84 + 34 * q^85 + 118 * q^87 + 8 * q^88 - 48 * q^90 - 56 * q^91 + 462 * q^92 + 28 * q^93 + 26 * q^94 - 246 * q^95 + 126 * q^96 - 36 * q^97 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/261\mathbb{Z}\right)^\times$.

$n$	$118$	$146$
$\chi(n)$	$e\left(\frac{1}{28}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.253664	+	0.187213i	0.179368	+	0.132379i	0.679804	−	0.733394i	$-0.262065\pi$
$2$	0.253664	+	0.187213i	0.179368	+	0.132379i	−0.500436	+	0.865774i	$0.666827\pi$
$3$	1.71133	+	0.267109i	0.988037	+	0.154215i
$3$	1.71133	+	0.267109i	0.988037	+	0.154215i
$4$	−0.560213	−	1.81617i	−0.280107	−	0.908084i
$5$	0.760941	−	1.93885i	0.340303	−	0.867078i	−0.653602	−	0.756839i	$-0.726743\pi$
$5$	0.760941	−	1.93885i	0.340303	−	0.867078i	0.993905	−	0.110240i	$-0.0351619\pi$
$6$	0.384097	+	0.388139i	0.156807	+	0.158457i
$7$	−2.32357	−	0.716725i	−0.878226	−	0.270897i	−0.177322	−	0.984153i	$-0.556743\pi$
$7$	−2.32357	−	0.716725i	−0.878226	−	0.270897i	−0.700903	+	0.713256i	$0.747220\pi$
$8$	0.406156	−	1.16073i	0.143598	−	0.410379i
$9$	2.85731	+	0.914223i	0.952435	+	0.304741i
$10$	0.556000	−	0.349358i	0.175823	−	0.110477i
$11$	−1.67340	−	0.316624i	−0.504549	−	0.0954658i	−0.0725950	−	0.997362i	$-0.523128\pi$
$11$	−1.67340	−	0.316624i	−0.504549	−	0.0954658i	−0.431954	+	0.901896i	$0.642176\pi$
$12$	−0.473596	−	3.25770i	−0.136715	−	0.940417i
$13$	1.10477	−	0.0827912i	0.306409	−	0.0229622i	0.0793615	−	0.996846i	$-0.474712\pi$
$13$	1.10477	−	0.0827912i	0.306409	−	0.0229622i	0.227047	+	0.973884i	$0.427093\pi$
$14$	−0.455225	−	0.616809i	−0.121664	−	0.164849i
$15$	1.82010	−	3.11475i	0.469949	−	0.804226i
$16$	−2.82038	+	1.92290i	−0.705095	+	0.480725i
$17$	0.567857	+	0.567857i	0.137726	+	0.137726i	0.772608	−	0.634883i	$-0.218952\pi$
$17$	0.567857	+	0.567857i	0.137726	+	0.137726i	−0.634883	+	0.772608i	$0.718952\pi$
$18$	0.553642	+	0.766829i	0.130495	+	0.180743i
$19$	2.89717	+	4.61082i	0.664657	+	1.05780i	0.993546	+	0.113427i	$0.0361828\pi$
$19$	2.89717	+	4.61082i	0.664657	+	1.05780i	−0.328889	+	0.944368i	$0.606674\pi$
$20$	−3.94756	−	0.295829i	−0.882701	−	0.0661493i
$21$	−3.78495	−	1.84720i	−0.825943	−	0.403092i
$22$	−0.365205	−	0.393598i	−0.0778620	−	0.0839153i
$23$	−0.232339	+	1.54147i	−0.0484460	+	0.321418i	0.951461	+	0.307770i	$0.0995827\pi$
$23$	−0.232339	+	1.54147i	−0.0484460	+	0.321418i	−0.999907	+	0.0136485i	$0.995655\pi$
$24$	1.00511	−	1.87790i	0.205167	−	0.383325i
$25$	0.485167	+	0.450169i	0.0970334	+	0.0900338i
$26$	0.295741	+	0.185826i	0.0579995	+	0.0364435i
$27$	4.64560	+	2.32775i	0.894046	+	0.447976i
$28$			4.62151i			0.873382i
$29$	3.77330	−	3.84216i	0.700684	−	0.713472i
$29$	3.77330	−	3.84216i	0.700684	−	0.713472i
$30$	1.04482	−	0.449354i	0.190756	−	0.0820405i
$31$	3.89914	+	8.93692i	0.700306	+	1.60512i	0.792856	+	0.609409i	$0.208593\pi$
$31$	3.89914	+	8.93692i	0.700306	+	1.60512i	−0.0925502	+	0.995708i	$0.529502\pi$
$32$	−3.53317	−	0.132202i	−0.624583	−	0.0233702i
$33$	−2.77917	−	0.988828i	−0.483791	−	0.172133i
$34$	0.0377350	+	0.250355i	0.00647149	+	0.0429355i
$35$	−3.15772	+	3.95965i	−0.533752	+	0.669303i
$36$	0.0596813	−	5.70151i	0.00994688	−	0.950251i
$37$	6.62616	+	2.31859i	1.08933	+	0.381175i	0.814409	−	0.580291i	$-0.197061\pi$
$37$	6.62616	+	2.31859i	1.08933	+	0.381175i	0.274925	+	0.961466i	$0.411347\pi$
$38$	−0.128296	+	1.71199i	−0.0208123	+	0.277721i
$39$	1.91275	+	0.153411i	0.306284	+	0.0245655i
$40$	−1.94141	−	1.67072i	−0.306964	−	0.264164i
$41$	−7.04085	−	1.88659i	−1.09960	−	0.294636i	−0.336996	−	0.941506i	$-0.609411\pi$
$41$	−7.04085	−	1.88659i	−1.09960	−	0.294636i	−0.762600	+	0.646870i	$0.776078\pi$
$42$	−0.614286	−	1.17716i	−0.0947864	−	0.181639i
$43$	−4.37995	−	1.91095i	−0.667937	−	0.291418i	0.0384328	−	0.999261i	$-0.487763\pi$
$43$	−4.37995	−	1.91095i	−0.667937	−	0.291418i	−0.706369	+	0.707843i	$0.749668\pi$
$44$	0.362418	+	3.21655i	0.0546366	+	0.484913i
$45$	3.94678	−	4.84421i	0.588351	−	0.722132i
$46$	−0.347518	+	0.347518i	−0.0512388	+	0.0512388i
$47$	1.53811	−	8.12908i	0.224356	−	1.18575i	−0.671364	−	0.741128i	$-0.734291\pi$
$47$	1.53811	−	8.12908i	0.224356	−	1.18575i	0.895719	−	0.444620i	$-0.146661\pi$
$48$	−5.34022	+	2.53737i	−0.770795	+	0.366238i
$49$	−0.898405	−	0.612522i	−0.128344	−	0.0875031i
$50$	0.0387921	+	0.205021i	0.00548603	+	0.0289944i
$51$	0.820112	+	1.12347i	0.114839	+	0.157317i
$52$	−0.769271	−	1.96007i	−0.106679	−	0.271813i
$53$	0.685523	−	0.546686i	0.0941638	−	0.0750932i	−0.575276	−	0.817959i	$-0.695105\pi$
$53$	0.685523	−	0.546686i	0.0941638	−	0.0750932i	0.669440	+	0.742866i	$0.266534\pi$
$54$	0.742637	+	1.46018i	0.101060	+	0.198705i
$55$	−1.88724	+	3.00353i	−0.254476	+	0.404996i
$56$	−1.77566	+	2.40593i	−0.237282	+	0.321506i
$57$	3.72643	+	8.66451i	0.493578	+	1.14764i
$58$	1.67645	−	0.268209i	0.220129	−	0.0352176i
$59$	−7.81229	+	4.51043i	−1.01707	+	0.587207i	−0.913255	−	0.407389i	$-0.866439\pi$
$59$	−7.81229	+	4.51043i	−1.01707	+	0.587207i	−0.103818	+	0.994596i	$0.533106\pi$
$60$	−6.67656	−	1.56069i	−0.861940	−	0.201484i
$61$	−3.87427	+	2.04761i	−0.496050	+	0.262170i	−0.696530	−	0.717528i	$-0.745274\pi$
$61$	−3.87427	+	2.04761i	−0.496050	+	0.262170i	0.200480	+	0.979698i	$0.435750\pi$
$62$	−0.684032	+	2.99694i	−0.0868722	+	0.380612i
$63$	−5.98389	−	4.17216i	−0.753900	−	0.525643i
$64$	4.46610	+	3.56159i	0.558262	+	0.445199i
$65$	0.680147	−	2.20498i	0.0843619	−	0.273494i
$66$	−0.519854	−	0.771125i	−0.0639895	−	0.0949190i
$67$	0.578592	−	0.848639i	0.0706863	−	0.103678i	−0.789268	−	0.614049i	$-0.789540\pi$
$67$	0.578592	−	0.848639i	0.0706863	−	0.103678i	0.859954	+	0.510371i	$0.170492\pi$
$68$	0.713203	−	1.34945i	0.0864885	−	0.163644i
$69$	−0.809349	+	2.57590i	−0.0974341	+	0.310102i
$70$	−1.54230	+	0.413257i	−0.184340	+	0.0493937i
$71$	−4.56093	−	2.19643i	−0.541282	−	0.260668i	0.143204	−	0.989693i	$-0.454259\pi$
$71$	−4.56093	−	2.19643i	−0.541282	−	0.260668i	−0.684487	+	0.729025i	$0.739974\pi$
$72$	2.22168	−	2.94524i	0.261827	−	0.347100i
$73$	−3.82659	+	0.431153i	−0.447869	+	0.0504627i	−0.333019	−	0.942920i	$-0.608067\pi$
$73$	−3.82659	+	0.431153i	−0.447869	+	0.0504627i	−0.114850	+	0.993383i	$0.536639\pi$
$74$	1.24675	+	1.82865i	0.144932	+	0.212576i
$75$	0.710037	+	0.899981i	0.0819880	+	0.103921i
$76$	6.75099	−	7.84480i	0.774392	−	0.899860i
$77$	3.66132	+	1.93507i	0.417246	+	0.220521i
$78$	0.456474	+	0.397005i	0.0516855	+	0.0449520i
$79$	−6.05345	−	7.03424i	−0.681067	−	0.791414i	0.305947	−	0.952048i	$-0.401027\pi$
$79$	−6.05345	−	7.03424i	−0.681067	−	0.791414i	−0.987014	+	0.160635i	$0.948646\pi$
$80$	1.58207	+	6.93149i	0.176881	+	0.774965i
$81$	7.32839	+	5.22443i	0.814266	+	0.580492i
$82$	−1.43282	−	1.79670i	−0.158228	−	0.198412i
$83$	−9.42246	+	10.1550i	−1.03425	+	1.11466i	−0.0409408	+	0.999162i	$0.513035\pi$
$83$	−9.42246	+	10.1550i	−1.03425	+	1.11466i	−0.993308	+	0.115494i	$0.963155\pi$
$84$	−1.23444	+	7.90892i	−0.134689	+	0.862934i
$85$	1.53309	−	0.668882i	0.166287	−	0.0725504i
$86$	−0.753282	−	1.30472i	−0.0812285	−	0.140692i
$87$	7.48364	−	5.56733i	0.802330	−	0.596880i
$88$	−1.04718	+	1.81376i	−0.111629	+	0.193348i
$89$	1.09506	−	9.71894i	0.116076	−	1.03021i	−0.791746	−	0.610851i	$-0.790828\pi$
$89$	1.09506	−	9.71894i	0.116076	−	1.03021i	0.907822	−	0.419355i	$-0.137744\pi$
$90$	1.90805	−	0.489914i	0.201126	−	0.0516415i
$91$	−2.62635	−	0.599447i	−0.275316	−	0.0628392i
$92$	2.92972	−	0.441585i	0.305445	−	0.0460384i
$93$	4.28558	+	16.3355i	0.444394	+	1.69391i
$94$	1.91203	−	1.77410i	0.197211	−	0.182985i
$95$	11.1443	−	2.10861i	1.14338	−	0.216338i
$96$	−6.01112	−	1.16998i	−0.613507	−	0.119411i
$97$	0.413543	+	11.0522i	0.0419889	+	1.12218i	0.847905	+	0.530148i	$0.177864\pi$
$97$	0.413543	+	11.0522i	0.0419889	+	1.12218i	−0.805916	+	0.592030i	$0.798327\pi$
$98$	−0.113221	−	0.323567i	−0.0114371	−	0.0326853i
$99$	−4.49195	−	2.43455i	−0.451458	−	0.244682i
$100$	0.545786	−	1.13334i	0.0545786	−	0.113334i
$101$	6.19823	−	14.2065i	0.616747	−	1.41360i	−0.275169	−	0.961396i	$-0.588734\pi$
$101$	6.19823	−	14.2065i	0.616747	−	1.41360i	0.891915	−	0.452202i	$-0.149362\pi$
$102$	−0.00229507	+	0.438520i	−0.000227246	+	0.0434199i
$103$	0.493059	+	6.57941i	0.0485825	+	0.648289i	0.967343	+	0.253473i	$0.0815727\pi$
$103$	0.493059	+	6.57941i	0.0485825	+	0.648289i	−0.918760	+	0.394816i	$0.870808\pi$
$104$	0.352612	−	1.31597i	0.0345765	−	0.129041i
$105$	−6.46156	+	5.93282i	−0.630583	+	0.578984i
$106$	0.276239	−	0.0103361i	0.0268307	−	0.00100393i
$107$	−3.03929	−	6.31116i	−0.293820	−	0.610123i	0.700842	−	0.713317i	$-0.252808\pi$
$107$	−3.03929	−	6.31116i	−0.293820	−	0.610123i	−0.994661	+	0.103194i	$0.967094\pi$
$108$	1.62506	−	9.74122i	0.156371	−	0.937349i
$109$	−11.9086	+	2.71806i	−1.14064	+	0.260343i	−0.750793	−	0.660538i	$-0.770328\pi$
$109$	−11.9086	+	2.71806i	−1.14064	+	0.260343i	−0.389844	+	0.920881i	$0.627471\pi$
$110$	−1.04102	+	0.408572i	−0.0992578	+	0.0389558i
$111$	10.7202	+	5.73779i	1.01752	+	0.544607i
$112$	7.93153	−	2.44655i	0.749459	−	0.231178i
$113$	−0.513568	+	13.7254i	−0.0483124	+	1.29118i	0.738614	+	0.674129i	$0.235481\pi$
$113$	−0.513568	+	13.7254i	−0.0483124	+	1.29118i	−0.786926	+	0.617047i	$0.788329\pi$
$114$	−0.676844	+	2.89551i	−0.0633922	+	0.271189i
$115$	2.81187	+	1.62344i	0.262209	+	0.151386i
$116$	−9.09186	−	4.70051i	−0.844158	−	0.436432i
$117$	3.23236	+	0.773449i	0.298832	+	0.0715054i
$118$	−2.82611	−	0.318426i	−0.260164	−	0.0293135i
$119$	−0.912457	−	1.72645i	−0.0836448	−	0.158264i
$120$	−2.87613	−	3.37772i	−0.262554	−	0.308343i
$121$	−7.53960	−	2.95907i	−0.685418	−	0.269007i
$122$	−1.36610	−	0.205907i	−0.123681	−	0.0186419i
$123$	−11.5453	−	5.10925i	−1.04100	−	0.460686i
$124$	14.0466	−	12.0881i	1.26142	−	1.08554i
$125$	10.6248	−	5.11663i	0.950310	−	0.457645i
$126$	−0.736818	−	2.17859i	−0.0656409	−	0.194084i
$127$	13.0618	−	4.57051i	1.15905	−	0.405568i	0.318826	−	0.947813i	$-0.396712\pi$
$127$	13.0618	−	4.57051i	1.15905	−	0.405568i	0.840220	+	0.542246i	$0.182426\pi$
$128$	2.29630	+	8.56990i	0.202966	+	0.757480i
$129$	−6.98512	−	4.44020i	−0.615005	−	0.390938i
$130$	0.585330	−	0.431993i	0.0513368	−	0.0378883i
$131$	10.7251	−	7.91545i	0.937052	−	0.691576i	−0.0142296	−	0.999899i	$-0.504530\pi$
$131$	10.7251	−	7.91545i	0.937052	−	0.691576i	0.951282	+	0.308323i	$0.0997677\pi$
$132$	−0.238952	+	5.60139i	−0.0207981	+	0.487538i
$133$	−3.42708	−	12.7900i	−0.297165	−	1.10904i
$134$	0.305644	−	0.106949i	0.0264036	−	0.00923903i
$135$	8.04817	−	7.23582i	0.692677	−	0.622760i
$136$	0.889767	−	0.428489i	0.0762969	−	0.0367426i
$137$	1.15309	−	0.992311i	0.0985148	−	0.0847789i	−0.601651	−	0.798759i	$-0.705490\pi$
$137$	1.15309	−	0.992311i	0.0985148	−	0.0847789i	0.700166	+	0.713980i	$0.253109\pi$
$138$	−0.687544	+	0.501894i	−0.0585276	+	0.0427240i
$139$	−8.91188	−	1.34325i	−0.755896	−	0.113933i	−0.240222	−	0.970718i	$-0.577220\pi$
$139$	−8.91188	−	1.34325i	−0.755896	−	0.113933i	−0.515674	+	0.856785i	$0.672458\pi$
$140$	8.96039	+	3.51669i	0.757291	+	0.297215i
$141$	4.80356	−	13.5007i	0.404532	−	1.13696i
$142$	−0.745744	−	1.41102i	−0.0625815	−	0.118410i
$143$	−1.87494	−	0.211255i	−0.156790	−	0.0176660i
$144$	−9.81664	+	2.91586i	−0.818054	+	0.242988i
$145$	−4.57810	−	10.2395i	−0.380191	−	0.850345i
$146$	−1.05139	−	0.607018i	−0.0870134	−	0.0502372i
$147$	−1.37386	−	1.28820i	−0.113314	−	0.106249i
$148$	0.498890	−	13.3331i	0.0410085	−	1.09598i
$149$	16.4050	−	5.06027i	1.34395	−	0.414553i	0.462410	−	0.886666i	$-0.346985\pi$
$149$	16.4050	−	5.06027i	1.34395	−	0.414553i	0.881538	+	0.472113i	$0.156508\pi$
$150$	0.0116231	+	0.361221i	0.000949025	+	0.0294935i
$151$	8.68765	−	3.40965i	0.706991	−	0.277474i	0.0155220	−	0.999880i	$-0.495059\pi$
$151$	8.68765	−	3.40965i	0.706991	−	0.277474i	0.691469	+	0.722406i	$0.256964\pi$
$152$	6.52862	−	1.49011i	0.529541	−	0.120864i
$153$	1.10339	+	2.14169i	0.0892041	+	0.173145i
$154$	0.566477	+	1.17630i	0.0456480	+	0.0947891i
$155$	20.2943	−	0.759360i	1.63008	−	0.0609932i
$156$	−0.792925	−	3.55981i	−0.0634848	−	0.285013i
$157$	3.50323	−	13.0743i	0.279589	−	1.04344i	−0.673115	−	0.739538i	$-0.735044\pi$
$157$	3.50323	−	13.0743i	0.279589	−	1.04344i	0.952704	−	0.303901i	$-0.0982892\pi$
$158$	−0.218645	−	2.91762i	−0.0173945	−	0.232113i
$159$	1.31918	−	0.752452i	0.104618	−	0.0596733i
$160$	−2.94486	+	6.74968i	−0.232811	+	0.533609i
$161$	1.64466	−	3.41518i	0.129618	−	0.269154i
$162$	0.880871	+	2.69722i	0.0692077	+	0.211913i
$163$	3.30378	+	9.44166i	0.258772	+	0.739528i	0.997827	+	0.0658830i	$0.0209864\pi$
$163$	3.30378	+	9.44166i	0.258772	+	0.739528i	−0.739055	+	0.673645i	$0.764728\pi$
$164$	0.518016	+	13.8443i	0.0404502	+	1.08105i
$165$	−4.03197	+	4.63593i	−0.313888	+	0.360907i
$166$	−4.29128	+	0.811954i	−0.333068	+	0.0630199i
$167$	−13.0138	+	12.0750i	−1.00704	+	0.934394i	−0.997848	−	0.0655637i	$-0.979115\pi$
$167$	−13.0138	+	12.0750i	−1.00704	+	0.934394i	−0.00918898	+	0.999958i	$0.502925\pi$
$168$	−3.68138	+	3.64304i	−0.284024	+	0.281067i
$169$	−11.6411	+	1.75462i	−0.895472	+	0.134971i
$170$	0.514114	+	0.117343i	0.0394307	+	0.00899981i
$171$	4.06279	+	15.8232i	0.310689	+	1.21003i
$172$	−1.01690	+	9.02527i	−0.0775382	+	0.688170i
$173$	−3.38717	+	5.86675i	−0.257522	+	0.446041i	−0.965577	−	0.260116i	$-0.916239\pi$
$173$	−3.38717	+	5.86675i	−0.257522	+	0.446041i	0.708056	+	0.706157i	$0.249573\pi$
$174$	2.94060	−	0.0112000i	0.222927	−	0.000849068i
$175$	−0.804670	−	1.39373i	−0.0608274	−	0.105356i
$176$	5.32846	−	2.32478i	0.401647	−	0.175237i
$177$	−14.5742	+	5.63210i	−1.09546	+	0.423335i
$178$	2.09729	−	2.26034i	0.157198	−	0.169419i
$179$	11.8425	+	14.8500i	0.885148	+	1.10994i	0.993272	+	0.115804i	$0.0369443\pi$
$179$	11.8425	+	14.8500i	0.885148	+	1.10994i	−0.108124	+	0.994137i	$0.534484\pi$
$180$	−11.0089	−	4.45422i	−0.820557	−	0.331998i
$181$	2.74352	+	12.0202i	0.203924	+	0.893451i	0.968519	+	0.248940i	$0.0800821\pi$
$181$	2.74352	+	12.0202i	0.203924	+	0.893451i	−0.764595	+	0.644512i	$0.777061\pi$
$182$	−0.553987	−	0.643744i	−0.0410642	−	0.0477175i
$183$	−7.17709	+	2.46929i	−0.530546	+	0.182535i
$184$	1.69486	+	0.895760i	0.124947	+	0.0660363i
$185$	9.53752	−	11.0828i	0.701212	−	0.814823i
$186$	−1.97112	+	4.94605i	−0.144529	+	0.362662i
$187$	−0.770455	−	1.13005i	−0.0563412	−	0.0826374i
$188$	−15.6254	+	1.76056i	−1.13960	+	0.128402i
$189$	−9.12600	−	8.73830i	−0.663819	−	0.635618i
$190$	3.22166	+	1.55147i	0.233723	+	0.112555i
$191$	−13.9201	+	3.72987i	−1.00722	+	0.269884i	−0.724468	−	0.689309i	$-0.757914\pi$
$191$	−13.9201	+	3.72987i	−1.00722	+	0.269884i	−0.282753	+	0.959193i	$0.591248\pi$
$192$	6.69164	+	7.28800i	0.482927	+	0.525966i
$193$	8.45893	−	16.0051i	0.608887	−	1.15207i	−0.366260	−	0.930513i	$-0.619362\pi$
$193$	8.45893	−	16.0051i	0.608887	−	1.15207i	0.975147	−	0.221558i	$-0.0711143\pi$
$194$	−1.96420	+	2.88096i	−0.141022	+	0.206841i
$195$	1.75293	−	3.59178i	0.125530	−	0.257213i
$196$	−0.609144	+	1.97480i	−0.0435103	+	0.141057i
$197$	7.78071	+	6.20491i	0.554353	+	0.442082i	0.860169	−	0.510009i	$-0.170358\pi$
$197$	7.78071	+	6.20491i	0.554353	+	0.442082i	−0.305816	+	0.952091i	$0.598929\pi$
$198$	−0.683667	−	1.45851i	−0.0485861	−	0.103652i
$199$	3.05621	−	13.3902i	0.216649	−	0.949203i	−0.743284	−	0.668976i	$-0.766733\pi$
$199$	3.05621	−	13.3902i	0.216649	−	0.949203i	0.959934	−	0.280227i	$-0.0904098\pi$
$200$	0.719578	−	0.380308i	0.0508818	−	0.0268918i
$201$	1.21684	−	1.29776i	0.0858294	−	0.0915366i
$202$	4.23190	−	2.44329i	0.297756	−	0.171909i
$203$	−11.5213	+	6.22310i	−0.808636	+	0.436776i
$204$	1.58097	−	2.11884i	0.110690	−	0.148349i
$205$	−9.01548	+	12.2155i	−0.629668	+	0.853170i
$206$	−1.10668	+	1.76127i	−0.0771059	+	0.122713i
$207$	−2.07311	+	4.19204i	−0.144091	+	0.291367i
$208$	−2.95668	+	2.35787i	−0.205009	+	0.163489i
$209$	−3.38823	−	8.63306i	−0.234369	−	0.597161i
$210$	−2.74976	+	0.295258i	−0.189752	+	0.0203748i
$211$	1.45728	+	7.70190i	0.100323	+	0.530221i	0.996287	+	0.0860937i	$0.0274384\pi$
$211$	1.45728	+	7.70190i	0.100323	+	0.530221i	−0.895964	+	0.444127i	$0.853514\pi$
$212$	−1.37691	−	0.938764i	−0.0945668	−	0.0644745i
$213$	−7.21857	−	4.97708i	−0.494608	−	0.341024i
$214$	0.410569	−	2.16991i	0.0280659	−	0.148332i
$215$	−7.03793	+	7.03793i	−0.479983	+	0.479983i
$216$	4.58872	−	4.44685i	0.312223	−	0.302570i
$217$	−2.65459	−	23.5601i	−0.180205	−	1.59937i
$218$	−3.52964	−	1.53997i	−0.239057	−	0.104300i
$219$	−6.66373	−	0.284271i	−0.450293	−	0.0192092i
$220$	6.51217	+	1.74493i	0.439051	+	0.117643i
$221$	0.674367	+	0.580339i	0.0453628	+	0.0390379i
$222$	1.64515	+	3.46243i	0.110415	+	0.232383i
$223$	−1.47010	+	19.6171i	−0.0984453	+	1.31366i	0.701103	+	0.713060i	$0.252691\pi$
$223$	−1.47010	+	19.6171i	−0.0984453	+	1.31366i	−0.799549	+	0.600601i	$0.794928\pi$
$224$	8.11481	+	2.83950i	0.542194	+	0.189722i
$225$	0.974715	+	1.72982i	0.0649810	+	0.115321i
$226$	−2.69984	+	3.38549i	−0.179591	+	0.225200i
$227$	3.08041	+	20.4372i	0.204454	+	1.35646i	0.821802	+	0.569774i	$0.192969\pi$
$227$	3.08041	+	20.4372i	0.204454	+	1.35646i	−0.617348	+	0.786690i	$0.711793\pi$
$228$	13.6486	−	11.6218i	0.903900	−	0.769672i
$229$	−13.7504	−	0.514502i	−0.908649	−	0.0339993i	−0.421021	−	0.907051i	$-0.638328\pi$
$229$	−13.7504	−	0.514502i	−0.908649	−	0.0339993i	−0.487628	+	0.873052i	$0.662138\pi$
$230$	0.409344	+	0.938225i	0.0269913	+	0.0618648i
$231$	5.74886	+	4.28951i	0.378247	+	0.282229i
$232$	−2.92716	−	5.94029i	−0.192177	−	0.389999i
$233$		−	20.8468i		−	1.36572i	−0.730548	−	0.682861i	$-0.760735\pi$
$233$		−	20.8468i		−	1.36572i	0.730548	−	0.682861i	$-0.239265\pi$
$234$	0.675135	+	0.801335i	0.0441349	+	0.0523849i
$235$	−14.5906	−	9.16790i	−0.951788	−	0.598048i
$236$	12.5682	+	11.6616i	0.818123	+	0.759107i
$237$	−8.48055	−	13.6548i	−0.550871	−	0.886977i
$238$	0.0917562	−	0.608762i	0.00594767	−	0.0394602i
$239$	−11.8009	−	12.7183i	−0.763335	−	0.822679i	0.225098	−	0.974336i	$-0.427730\pi$
$239$	−11.8009	−	12.7183i	−0.763335	−	0.822679i	−0.988433	+	0.151657i	$0.951539\pi$
$240$	0.855979	+	12.2847i	0.0552532	+	0.792972i
$241$	7.90726	+	0.592567i	0.509351	+	0.0381706i	0.326928	−	0.945049i	$-0.393987\pi$
$241$	7.90726	+	0.592567i	0.509351	+	0.0381706i	0.182424	+	0.983220i	$0.441606\pi$
$242$	−1.35855	−	2.16212i	−0.0873309	−	0.138986i
$243$	11.1458	+	10.8982i	0.715004	+	0.699120i
$244$	5.88922	+	5.88922i	0.377019	+	0.377019i
$245$	−1.87122	+	1.27578i	−0.119548	+	0.0815063i
$246$	−1.97211	−	3.45746i	−0.125737	−	0.220440i
$247$	3.58245	+	4.85405i	0.227946	+	0.308856i
$248$	11.9570	−	0.896053i	0.759270	−	0.0568994i
$249$	−18.8374	+	14.8617i	−1.19377	+	0.941824i
$250$	3.65303	+	0.691190i	0.231038	+	0.0437147i
$251$	−5.07552	+	3.18916i	−0.320364	+	0.201298i	−0.682607	−	0.730786i	$-0.739154\pi$
$251$	−5.07552	+	3.18916i	−0.320364	+	0.201298i	0.362243	+	0.932084i	$0.382011\pi$
$252$	−4.22509	+	13.2051i	−0.266155	+	0.831840i
$253$	0.876862	−	2.50593i	0.0551278	−	0.157546i
$254$	4.16896	+	1.28595i	0.261584	+	0.0806880i
$255$	2.80229	−	0.735175i	0.175486	−	0.0460385i
$256$	3.15201	−	8.03119i	0.197000	−	0.501949i
$257$	2.11985	+	6.87239i	0.132233	+	0.428688i	0.997339	−	0.0729002i	$-0.0232255\pi$
$257$	2.11985	+	6.87239i	0.132233	+	0.428688i	−0.865107	+	0.501588i	$0.832749\pi$
$258$	−0.940612	−	2.43402i	−0.0585599	−	0.151536i
$259$	−13.7345	−	10.1365i	−0.853422	−	0.629854i
$260$	−4.38565			−0.271986
$261$	14.2941	−	7.52860i	0.884780	−	0.466008i
$262$	4.20243			0.259627
$263$	−4.12823	−	3.04677i	−0.254557	−	0.187872i	0.459065	−	0.888403i	$-0.348185\pi$
$263$	−4.12823	−	3.04677i	−0.254557	−	0.187872i	−0.713622	+	0.700531i	$0.752947\pi$
$264$	−2.27654	+	2.82424i	−0.140111	+	0.173820i
$265$	−0.538298	−	1.74512i	−0.0330674	−	0.107202i
$266$	1.52513	−	3.88597i	0.0935117	−	0.238264i
$267$	4.47003	−	16.3398i	0.273561	−	0.999981i
$268$	−1.86541	−	0.575402i	−0.113948	−	0.0351482i
$269$	0.789048	−	2.25497i	0.0481091	−	0.137488i	−0.917322	−	0.398146i	$-0.869654\pi$
$269$	0.789048	−	2.25497i	0.0481091	−	0.137488i	0.965431	+	0.260658i	$0.0839395\pi$
$270$	3.39617	−	0.328748i	0.206684	−	0.0200069i
$271$	−25.1481	+	15.8016i	−1.52764	+	0.959879i	−0.534219	+	0.845346i	$0.679394\pi$
$271$	−25.1481	+	15.8016i	−1.52764	+	0.959879i	−0.993420	+	0.114532i	$0.963463\pi$
$272$	−2.69351	−	0.509639i	−0.163318	−	0.0309014i
$273$	−4.33444	−	1.72737i	−0.262332	−	0.104545i
$274$	0.478270	−	0.0358414i	0.0288933	−	0.00216526i
$275$	−0.669344	−	0.906928i	−0.0403629	−	0.0546898i
$276$	5.13168	+	0.0268575i	0.308891	+	0.00161663i
$277$	0.0645628	−	0.0440182i	0.00387920	−	0.00264480i	−0.561379	−	0.827559i	$-0.689729\pi$
$277$	0.0645628	−	0.0440182i	0.00387920	−	0.00264480i	0.565258	+	0.824914i	$0.308777\pi$
$278$	−2.00915	−	2.00915i	−0.120501	−	0.120501i
$279$	2.97069	+	29.1002i	0.177851	+	1.74218i
$280$	3.31355	+	5.27349i	0.198023	+	0.315151i
$281$	−28.2215	−	2.11491i	−1.68356	−	0.126165i	−0.801713	−	0.597709i	$-0.796078\pi$
$281$	−28.2215	−	2.11491i	−1.68356	−	0.126165i	−0.881842	+	0.471544i	$0.843697\pi$
$282$	3.74599	−	2.52536i	0.223071	−	0.150383i
$283$	1.18286	+	1.27482i	0.0703135	+	0.0757800i	0.767229	−	0.641374i	$-0.221635\pi$
$283$	1.18286	+	1.27482i	0.0703135	+	0.0757800i	−0.696915	+	0.717154i	$0.745445\pi$
$284$	−1.43399	+	9.51387i	−0.0850914	+	0.564544i
$285$	19.6347	−	0.631794i	1.16306	−	0.0374243i
$286$	−0.436055	−	0.404600i	−0.0257845	−	0.0239245i
$287$	15.0077	+	9.42997i	0.885878	+	0.556634i
$288$	−9.97450	−	3.60785i	−0.587753	−	0.212595i
$289$		−	16.3551i		−	0.962063i
$290$	0.755664	−	3.45447i	0.0443741	−	0.202854i
$291$	−2.24442	+	19.0244i	−0.131570	+	1.11523i
$292$	2.92676	+	6.70820i	0.171275	+	0.392567i
$293$	−22.1937	−	0.830429i	−1.29657	−	0.0485142i	−0.619829	−	0.784737i	$-0.712798\pi$
$293$	−22.1937	−	0.830429i	−1.29657	−	0.0485142i	−0.676739	+	0.736223i	$0.736608\pi$
$294$	−0.107331	−	0.583973i	−0.00625968	−	0.0340580i
$295$	2.80033	+	18.5790i	0.163042	+	1.08171i
$296$	5.38252	−	6.74946i	0.312852	−	0.392305i
$297$	−7.03692	−	5.36616i	−0.408323	−	0.311376i
$298$	5.10870	+	1.78761i	0.295939	+	0.103554i
$299$	−0.129062	+	1.72221i	−0.00746382	+	0.0995978i
$300$	1.23674	−	1.79373i	0.0714034	−	0.103561i
$301$	8.80748	+	7.57945i	0.507655	+	0.436872i
$302$	2.84208	+	0.761532i	0.163543	+	0.0438212i
$303$	14.4019	−	22.6564i	0.827367	−	1.30158i
$304$	−17.0373	−	7.43329i	−0.977155	−	0.426328i
$305$	1.02191	+	9.06973i	0.0585145	+	0.519331i
$306$	−0.121060	+	0.749839i	−0.00692055	+	0.0428655i
$307$	6.89880	−	6.89880i	0.393736	−	0.393736i	−0.482281	−	0.876017i	$-0.660192\pi$
$307$	6.89880	−	6.89880i	0.393736	−	0.393736i	0.876017	+	0.482281i	$0.160192\pi$
$308$	1.46328	−	7.73362i	0.0833781	−	0.440664i
$309$	−0.913633	+	11.3913i	−0.0519748	+	0.648026i
$310$	5.29010	+	3.60673i	0.300458	+	0.204848i
$311$	−4.98301	−	26.3359i	−0.282561	−	1.49337i	−0.779950	−	0.625842i	$-0.784755\pi$
$311$	−4.98301	−	26.3359i	−0.282561	−	1.49337i	0.497389	−	0.867528i	$-0.334292\pi$
$312$	0.954943	−	2.15787i	0.0540630	−	0.122165i
$313$	0.0157864	+	0.0402231i	0.000892300	+	0.00227354i	0.931319	−	0.364204i	$-0.118659\pi$
$313$	0.0157864	+	0.0402231i	0.000892300	+	0.00227354i	−0.930427	+	0.366478i	$0.880564\pi$
$314$	3.33631	−	2.66062i	0.188279	−	0.150147i
$315$	−12.6426	+	8.42708i	−0.712328	+	0.474812i
$316$	−9.38413	+	14.9348i	−0.527899	+	0.840146i
$317$	13.0869	−	17.7321i	0.735035	−	0.995937i	−0.264468	−	0.964395i	$-0.585196\pi$
$317$	13.0869	−	17.7321i	0.735035	−	0.995937i	0.999502	−	0.0315421i	$-0.0100418\pi$
$318$	0.475498	+	0.0560974i	0.0266646	+	0.00314579i
$319$	−7.53076	+	5.23475i	−0.421641	+	0.293090i
$320$	10.3038	−	5.94891i	0.576001	−	0.332554i
$321$	−3.51547	−	11.6123i	−0.196214	−	0.648136i
$322$	1.05656	−	0.558407i	0.0588796	−	0.0311188i
$323$	−0.973109	+	4.26347i	−0.0541453	+	0.237226i
$324$	5.38298	−	16.2364i	0.299054	−	0.902021i
$325$	0.573269	+	0.457167i	0.0317993	+	0.0253591i
$326$	−0.929547	+	3.01352i	−0.0514829	+	0.166903i
$327$	−21.1056	+	1.47061i	−1.16714	+	0.0813248i
$328$	−5.04951	+	7.40626i	−0.278812	+	0.408943i
$329$	−9.40021	+	17.7861i	−0.518250	+	0.980577i
$330$	−1.89067	+	0.421135i	−0.104078	+	0.0231827i
$331$	3.63897	−	0.975059i	0.200016	−	0.0535941i	−0.157420	−	0.987532i	$-0.550318\pi$
$331$	3.63897	−	0.975059i	0.200016	−	0.0535941i	0.357436	+	0.933938i	$0.383651\pi$
$332$	23.7218	+	11.4238i	1.30190	+	0.626962i
$333$	16.8133	+	12.6827i	0.921361	+	0.695009i
$334$	−5.56173	+	0.626657i	−0.304324	+	0.0342891i
$335$	−1.20511	−	1.76757i	−0.0658420	−	0.0965724i
$336$	14.2270	−	2.06828i	0.776145	−	0.112834i
$337$	−4.79676	+	5.57393i	−0.261296	+	0.303632i	−0.873260	−	0.487254i	$-0.837999\pi$
$337$	−4.79676	+	5.57393i	−0.261296	+	0.303632i	0.611964	+	0.790885i	$0.290380\pi$
$338$	−3.28142	−	1.73428i	−0.178486	−	0.0943326i
$339$	−4.54506	+	23.3515i	−0.246854	+	1.26828i
$340$	−2.07366	−	2.40964i	−0.112460	−	0.130681i
$341$	−3.69517	−	16.1896i	−0.200105	−	0.876715i
$342$	−1.93172	+	4.77438i	−0.104455	+	0.258169i
$343$	12.2610	+	15.3748i	0.662033	+	0.830163i
$344$	−3.99704	+	4.30779i	−0.215506	+	0.232260i
$345$	4.37841	+	3.52931i	0.235726	+	0.190012i
$346$	−1.95753	+	0.854063i	−0.105238	+	0.0459147i
$347$	−4.94530	−	8.56551i	−0.265478	−	0.459821i	0.702211	−	0.711969i	$-0.252196\pi$
$347$	−4.94530	−	8.56551i	−0.265478	−	0.459821i	−0.967689	+	0.252148i	$0.918863\pi$
$348$	−14.3036	−	10.4726i	−0.766755	−	0.561393i
$349$	15.3494	−	26.5859i	0.821633	−	1.42311i	−0.0828320	−	0.996564i	$-0.526397\pi$
$349$	15.3494	−	26.5859i	0.821633	−	1.42311i	0.904465	−	0.426547i	$-0.140270\pi$
$350$	0.0568079	−	0.504184i	0.00303651	−	0.0269497i
$351$	5.32505	+	2.18702i	0.284230	+	0.116734i
$352$	5.87055	+	1.33992i	0.312901	+	0.0714177i
$353$	23.3829	−	3.52440i	1.24454	−	0.187585i	0.506442	−	0.862274i	$-0.330961\pi$
$353$	23.3829	−	3.52440i	1.24454	−	0.187585i	0.738102	+	0.674689i	$0.235722\pi$
$354$	−4.75135	−	1.29981i	−0.252531	−	0.0690841i
$355$	−7.72913	+	7.17158i	−0.410219	+	0.380628i
$356$	−18.2647	+	3.45587i	−0.968027	+	0.183161i
$357$	−1.10036	−	3.19826i	−0.0582375	−	0.169270i
$358$	0.223904	+	5.98397i	0.0118337	+	0.316263i
$359$	−2.23456	−	6.38599i	−0.117935	−	0.337040i	0.869750	−	0.493492i	$-0.164280\pi$
$359$	−2.23456	−	6.38599i	−0.117935	−	0.337040i	−0.987685	+	0.156453i	$0.949994\pi$
$360$	−4.01980	−	6.54864i	−0.211862	−	0.345144i
$361$	−4.62230	+	9.59830i	−0.243279	+	0.505174i
$362$	−1.55439	+	3.56270i	−0.0816970	+	0.187252i
$363$	−12.1124	−	7.07785i	−0.635734	−	0.371491i
$364$	0.382620	+	5.10571i	0.0200547	+	0.267612i
$365$	−2.07587	+	7.74726i	−0.108656	+	0.405510i
$366$	−2.28285	−	0.717273i	−0.119327	−	0.0374924i
$367$	32.4958	−	1.21591i	1.69627	−	0.0634699i	0.828361	−	0.560195i	$-0.189274\pi$
$367$	32.4958	−	1.21591i	1.69627	−	0.0634699i	0.867908	+	0.496725i	$0.165464\pi$
$368$	−2.30881	−	4.79429i	−0.120355	−	0.249920i
$369$	−18.3931	−	11.8275i	−0.957506	−	0.615714i
$370$	4.49416	−	1.02576i	0.233640	−	0.0533269i
$371$	−1.98468	+	0.778931i	−0.103040	+	0.0404401i
$372$	27.2672	−	16.9347i	1.41374	−	0.878024i
$373$	−18.7155	+	5.77297i	−0.969053	+	0.298913i	−0.738580	−	0.674166i	$-0.764503\pi$
$373$	−18.7155	+	5.77297i	−0.969053	+	0.298913i	−0.230473	+	0.973079i	$0.574027\pi$
$374$	0.0161228	−	0.430892i	0.000833692	−	0.0222809i
$375$	19.5492	−	5.91827i	1.00952	−	0.305618i
$376$	−8.81094	−	5.08700i	−0.454390	−	0.262342i
$377$	3.85054	−	4.55711i	0.198313	−	0.234703i
$378$	−0.679018	−	3.92510i	−0.0349249	−	0.201885i
$379$	−1.78799	−	0.201458i	−0.0918430	−	0.0103482i	0.0659233	−	0.997825i	$-0.479001\pi$
$379$	−1.78799	−	0.201458i	−0.0918430	−	0.0103482i	−0.157766	+	0.987476i	$0.550429\pi$
$380$	−10.0727	−	19.0586i	−0.516721	−	0.977684i
$381$	23.5738	−	4.33274i	1.20772	−	0.221973i
$382$	−4.22930	−	1.65988i	−0.216390	−	0.0849268i
$383$	18.4060	+	2.77426i	0.940505	+	0.141758i	0.601362	−	0.798977i	$-0.294625\pi$
$383$	18.4060	+	2.77426i	0.940505	+	0.141758i	0.339143	+	0.940735i	$0.389863\pi$
$384$	1.64063	+	15.2793i	0.0837230	+	0.779719i
$385$	6.53784	−	5.62627i	0.333199	−	0.286741i
$386$	5.14208	−	2.47630i	0.261725	−	0.126040i
$387$	−10.7678	−	9.46443i	−0.547359	−	0.481104i
$388$	19.8409	−	6.94264i	1.00727	−	0.352459i
$389$	−0.756544	−	2.82346i	−0.0383583	−	0.143155i	0.944091	−	0.329685i	$-0.106943\pi$
$389$	−0.756544	−	2.82346i	−0.0383583	−	0.143155i	−0.982449	+	0.186530i	$0.940276\pi$
$390$	1.11708	−	0.582936i	0.0565656	−	0.0295181i
$391$	−1.00727	+	0.743399i	−0.0509398	+	0.0375953i
$392$	−1.07586	+	0.794024i	−0.0543393	+	0.0401043i
$393$	20.4684	−	10.6812i	1.03249	−	0.538795i
$394$	0.812050	+	3.03061i	0.0409105	+	0.152680i
$395$	−18.2446	+	6.38407i	−0.917987	+	0.321217i
$396$	−1.90511	+	9.52200i	−0.0957351	+	0.478498i
$397$	26.6403	−	12.8293i	1.33704	−	0.643884i	0.377644	−	0.925951i	$-0.376734\pi$
$397$	26.6403	−	12.8293i	1.33704	−	0.643884i	0.959395	+	0.282067i	$0.0910199\pi$
$398$	3.28206	−	2.82444i	0.164515	−	0.141576i
$399$	−2.44853	−	22.8034i	−0.122580	−	1.14160i
$400$	−2.23399	−	0.336719i	−0.111699	−	0.0168360i
$401$	8.22187	+	3.22685i	0.410580	+	0.161141i	0.561636	−	0.827384i	$-0.310172\pi$
$401$	8.22187	+	3.22685i	0.410580	+	0.161141i	−0.151056	+	0.988525i	$0.548267\pi$
$402$	0.551625	−	0.101386i	0.0275126	−	0.00505666i
$403$	5.04756	+	9.55044i	0.251437	+	0.475741i
$404$	−29.2737	−	3.29835i	−1.45642	−	0.164099i
$405$	15.7058	−	10.2331i	0.780429	−	0.508489i
$406$	−4.08758	−	0.578353i	−0.202863	−	0.0287032i
$407$	−10.3541	−	5.97794i	−0.513233	−	0.296315i
$408$	1.63714	−	0.495622i	0.0810504	−	0.0245369i
$409$	−0.708181	+	18.9265i	−0.0350173	+	0.935857i	0.865466	+	0.500967i	$0.167022\pi$
$409$	−0.708181	+	18.9265i	−0.0350173	+	0.935857i	−0.900484	+	0.434890i	$0.856787\pi$
$410$	−4.57381	+	1.41083i	−0.225884	+	0.0696761i
$411$	2.23837	−	1.39017i	0.110411	−	0.0685722i
$412$	11.6731	−	4.58135i	0.575092	−	0.225707i
$413$	21.3851	−	4.88101i	1.05229	−	0.240179i
$414$	−1.31068	+	0.675257i	−0.0644162	+	0.0331871i
$415$	12.5190	+	25.9960i	0.614535	+	1.27610i
$416$	−3.91430	+	0.146463i	−0.191914	+	0.00718093i
$417$	−14.8924	−	4.67919i	−0.729283	−	0.229141i
$418$	0.756747	−	2.82422i	0.0370137	−	0.138137i
$419$	−2.33611	−	31.1732i	−0.114126	−	1.52291i	−0.700959	−	0.713201i	$-0.747245\pi$
$419$	−2.33611	−	31.1732i	−0.114126	−	1.52291i	0.586833	−	0.809708i	$-0.300374\pi$
$420$	14.3948	+	8.41162i	0.702397	+	0.410445i
$421$	−6.39484	+	14.6571i	−0.311665	+	0.714345i	−0.999938	−	0.0111072i	$-0.996464\pi$
$421$	−6.39484	+	14.6571i	−0.311665	+	0.714345i	0.688273	+	0.725452i	$0.258369\pi$
$422$	−1.07223	+	2.22652i	−0.0521955	+	0.108385i
$423$	11.8266	−	21.8211i	0.575030	−	1.06098i
$424$	−0.356125	−	1.01775i	−0.0172950	−	0.0494261i
$425$	0.0198738	+	0.531138i	0.000964019	+	0.0257640i
$426$	−0.899320	−	2.61391i	−0.0435722	−	0.126644i
$427$	10.4697	−	1.98097i	0.506664	−	0.0958661i
$428$	−9.75947	+	9.05546i	−0.471742	+	0.437712i
$429$	−3.15221	−	0.862340i	−0.152190	−	0.0416342i
$430$	−3.10286	+	0.467681i	−0.149633	+	0.0225536i
$431$	−29.2292	−	6.67138i	−1.40792	−	0.321349i	−0.550015	−	0.835155i	$-0.685378\pi$
$431$	−29.2292	−	6.67138i	−1.40792	−	0.321349i	−0.857906	+	0.513806i	$0.828235\pi$
$432$	−17.5784	+	2.36789i	−0.845740	+	0.113925i
$433$	3.84865	−	34.1577i	0.184954	−	1.64151i	−0.467720	−	0.883877i	$-0.654925\pi$
$433$	3.84865	−	34.1577i	0.184954	−	1.64151i	0.652675	−	0.757638i	$-0.273647\pi$
$434$	3.73738	−	6.47333i	0.179400	−	0.310730i
$435$	−5.09959	−	18.7460i	−0.244506	−	0.898803i
$436$	11.6078	+	20.1053i	0.555913	+	0.962870i
$437$	−7.78056	+	3.39463i	−0.372195	+	0.162387i
$438$	−1.63713	−	1.31964i	−0.0782251	−	0.0630550i
$439$	15.6436	−	16.8598i	0.746628	−	0.804673i	−0.239459	−	0.970907i	$-0.576970\pi$
$439$	15.6436	−	16.8598i	0.746628	−	0.804673i	0.986086	+	0.166233i	$0.0531605\pi$
$440$	2.71977	+	3.41048i	0.129660	+	0.162588i
$441$	−2.00703	−	2.57150i	−0.0955731	−	0.122453i
$442$	0.0624157	+	0.273461i	0.00296881	+	0.0130072i
$443$	−19.0666	−	22.1558i	−0.905882	−	1.05265i	−0.998378	−	0.0569414i	$-0.981865\pi$
$443$	−19.0666	−	22.1558i	−0.905882	−	1.05265i	0.0924951	−	0.995713i	$-0.470516\pi$
$444$	4.41516	−	22.6841i	0.209534	−	1.07654i
$445$	−18.0103	−	9.51870i	−0.853768	−	0.451230i
$446$	−4.04549	+	4.70094i	−0.191559	+	0.222596i
$447$	29.4260	−	4.27787i	1.39180	−	0.202337i
$448$	−7.82459	−	11.4766i	−0.369677	−	0.542217i
$449$	−33.9454	+	3.82473i	−1.60198	+	0.180500i	−0.867255	−	0.497864i	$-0.834118\pi$
$449$	−33.9454	+	3.82473i	−1.60198	+	0.180500i	−0.734726	+	0.678364i	$0.762689\pi$
$450$	−0.0765942	+	0.621273i	−0.00361069	+	0.0292871i
$451$	11.1848	+	5.38632i	0.526672	+	0.253632i
$452$	25.2153	−	6.75642i	1.18603	−	0.317795i
$453$	15.7782	−	3.51449i	0.741324	−	0.165125i
$454$	−3.04471	+	5.76087i	−0.142895	+	0.270371i
$455$	−3.16073	+	4.63595i	−0.148178	+	0.217336i
$456$	11.5706	−	0.806227i	0.541845	−	0.0377550i
$457$	−6.60694	+	21.4192i	−0.309060	+	1.00195i	0.659193	+	0.751974i	$0.270898\pi$
$457$	−6.60694	+	21.4192i	−0.309060	+	1.00195i	−0.968253	+	0.249973i	$0.919578\pi$
$458$	−3.39165	−	2.70475i	−0.158481	−	0.126385i
$459$	1.31621	+	3.95987i	0.0614353	+	0.184831i
$460$	1.37318	−	6.01630i	0.0640249	−	0.280512i
$461$	−18.8815	+	9.97919i	−0.879401	+	0.464777i	−0.845084	−	0.534634i	$-0.820450\pi$
$461$	−18.8815	+	9.97919i	−0.879401	+	0.464777i	−0.0343174	+	0.999411i	$0.510926\pi$
$462$	0.655229	+	2.16435i	0.0304840	+	0.100695i
$463$	2.34884	−	1.35610i	0.109160	−	0.0630235i	−0.444426	−	0.895816i	$-0.646592\pi$
$463$	2.34884	−	1.35610i	0.109160	−	0.0630235i	0.553586	+	0.832792i	$0.313259\pi$
$464$	−3.25403	+	18.0920i	−0.151065	+	0.839902i
$465$	34.9331	+	4.12128i	1.61998	+	0.191120i
$466$	3.90279	−	5.28810i	0.180793	−	0.244966i
$467$	−21.4814	+	34.1875i	−0.994042	+	1.58201i	−0.194939	+	0.980815i	$0.562451\pi$
$467$	−21.4814	+	34.1875i	−0.994042	+	1.58201i	−0.799103	+	0.601194i	$0.794692\pi$
$468$	−0.406101	−	6.30381i	−0.0187720	−	0.291394i
$469$	−1.95264	+	1.55718i	−0.0901645	+	0.0719038i
$470$	−1.98477	−	5.05712i	−0.0915507	−	0.233267i
$471$	9.48744	−	21.4386i	0.437158	−	0.987840i
$472$	2.06237	+	10.8999i	0.0949282	+	0.501708i
$473$	6.72436	+	4.58459i	0.309186	+	0.210800i
$474$	0.405147	−	5.05141i	0.0186090	−	0.232019i
$475$	−0.670038	+	3.54124i	−0.0307435	+	0.162483i
$476$	−2.62436	+	2.62436i	−0.120287	+	0.120287i
$477$	2.45854	−	0.935329i	0.112569	−	0.0428258i
$478$	−0.612428	−	5.43545i	−0.0280118	−	0.248612i
$479$	22.3778	+	9.76333i	1.02247	+	0.446098i	0.843142	−	0.537692i	$-0.180704\pi$
$479$	22.3778	+	9.76333i	1.02247	+	0.446098i	0.179326	+	0.983790i	$0.442608\pi$
$480$	−6.84252	+	10.7643i	−0.312317	+	0.491323i
$481$	7.51236	+	2.01293i	0.342534	+	0.0917817i
$482$	1.89485	+	1.63065i	0.0863081	+	0.0742742i
$483$	3.72679	−	5.40520i	0.169575	−	0.245945i
$484$	−1.15039	+	15.3509i	−0.0522904	+	0.697767i
$485$	21.7431	+	7.60825i	0.987305	+	0.345473i
$486$	0.787010	+	4.85112i	0.0356995	+	0.220051i
$487$	−2.07917	+	2.60720i	−0.0942163	+	0.118144i	−0.826705	−	0.562636i	$-0.809787\pi$
$487$	−2.07917	+	2.60720i	−0.0942163	+	0.118144i	0.732489	+	0.680779i	$0.238359\pi$
$488$	0.803161	+	5.32863i	0.0363574	+	0.241216i
$489$	3.13191	+	17.0403i	0.141630	+	0.770587i
$490$	−0.713502	−	0.0266974i	−0.0322327	−	0.00120606i
$491$	3.91515	+	8.97361i	0.176688	+	0.404973i	0.982260	−	0.187525i	$-0.0600465\pi$
$491$	3.91515	+	8.97361i	0.176688	+	0.404973i	−0.805572	+	0.592498i	$0.798142\pi$
$492$	−2.81143	+	23.8305i	−0.126749	+	1.07436i
$493$	4.32450	−	0.0391046i	0.194765	−	0.00176118i
$494$			1.90198i			0.0855741i
$495$	−8.13833	+	6.85664i	−0.365791	+	0.308183i
$496$	−28.1818	−	17.7078i	−1.26540	−	0.795105i
$497$	9.02338	+	8.37247i	0.404754	+	0.375557i
$498$	−7.56068	+	0.243283i	−0.338802	+	0.0109018i
$499$	−4.52907	+	30.0484i	−0.202749	+	1.34515i	0.623490	+	0.781831i	$0.285714\pi$
$499$	−4.52907	+	30.0484i	−0.202749	+	1.34515i	−0.826239	+	0.563319i	$0.809524\pi$
$500$	−15.2448	−	16.4300i	−0.681768	−	0.734772i
$501$	−25.4962	+	17.1883i	−1.13909	+	0.767916i
$502$	−1.88453	−	0.141226i	−0.0841107	−	0.00630322i
$503$	2.46343	+	3.92053i	0.109839	+	0.174808i	0.897120	−	0.441786i	$-0.145655\pi$
$503$	2.46343	+	3.92053i	0.109839	+	0.174808i	−0.787281	+	0.616594i	$0.788512\pi$
$504$	−7.27314	+	5.25112i	−0.323972	+	0.233904i
$505$	−22.8277	−	22.8277i	−1.01582	−	1.01582i
$506$	0.691570	−	0.471504i	0.0307440	−	0.0209609i
$507$	−20.3905	−	0.106717i	−0.905574	−	0.00473948i
$508$	−15.6182	−	21.1619i	−0.692946	−	0.938908i
$509$	−0.326585	+	0.0244742i	−0.0144756	+	0.00108480i	−0.0819659	−	0.996635i	$-0.526120\pi$
$509$	−0.326585	+	0.0244742i	−0.0144756	+	0.00108480i	0.0674903	+	0.997720i	$0.478501\pi$
$510$	0.848476	+	0.338137i	0.0375711	+	0.0149730i
$511$	9.20036	+	1.74080i	0.407000	+	0.0770086i
$512$	17.3277	−	10.8877i	0.765785	−	0.481174i
$513$	2.72625	+	28.1639i	0.120367	+	1.24347i
$514$	−0.748868	+	2.14014i	−0.0330312	+	0.0943976i
$515$	13.1317	+	4.05058i	0.578650	+	0.178490i
$516$	−4.15099	+	15.1736i	−0.182737	+	0.667980i
$517$	−5.14773	+	13.1162i	−0.226397	+	0.576850i
$518$	−1.58627	−	5.14256i	−0.0696966	−	0.225951i
$519$	−7.36363	+	9.13520i	−0.323227	+	0.400991i
$520$	−2.28314	−	1.68503i	−0.100122	−	0.0738936i
$521$	−2.02741			−0.0888224			−0.0444112	−	0.999013i	$-0.514141\pi$
$521$	−2.02741			−0.0888224			−0.0444112	+	0.999013i	$0.514141\pi$
$522$	5.03534	+	0.766295i	0.220391	+	0.0335398i
$523$	17.0015			0.743425			0.371712	−	0.928348i	$-0.378771\pi$
$523$	17.0015			0.743425			0.371712	+	0.928348i	$0.378771\pi$
$524$	−20.3841	−	15.0442i	−0.890484	−	0.657207i
$525$	−1.00478	−	2.60007i	−0.0438522	−	0.113476i
$526$	−0.476789	−	1.54571i	−0.0207890	−	0.0673963i
$527$	−2.86074	+	7.28905i	−0.124616	+	0.317516i
$528$	9.73972	−	2.55519i	0.423867	−	0.111200i
$529$	19.6560	+	6.06308i	0.854610	+	0.263612i
$530$	0.190162	−	0.543450i	0.00826009	−	0.0236060i
$531$	−26.4456	+	5.74549i	−1.14764	+	0.249333i
$532$	−21.3089	+	13.3893i	−0.923860	+	0.580500i
$533$	−7.93473	−	1.50133i	−0.343691	−	0.0650299i
$534$	4.19291	−	3.30798i	0.181445	−	0.143150i
$535$	−14.5491	+	1.09030i	−0.629012	+	0.0471379i
$536$	−0.750041	−	1.01627i	−0.0323968	−	0.0438961i
$537$	16.2998	+	28.5765i	0.703390	+	1.23317i
$538$	0.622312	−	0.424285i	0.0268298	−	0.0182922i
$539$	1.30945	+	1.30945i	0.0564020	+	0.0564020i
$540$	−17.6502	−	10.5632i	−0.759542	−	0.454569i
$541$	−12.2441	−	19.4864i	−0.526416	−	0.837786i	0.472639	−	0.881256i	$-0.343301\pi$
$541$	−12.2441	−	19.4864i	−0.526416	−	0.837786i	−0.999055	+	0.0434704i	$0.986159\pi$
$542$	−9.33743	−	0.699744i	−0.401077	−	0.0300566i
$543$	1.48438	+	21.3033i	0.0637010	+	0.914211i
$544$	−1.93127	−	2.08141i	−0.0828024	−	0.0892398i
$545$	−3.79184	+	25.1572i	−0.162425	+	1.07762i
$546$	−0.776105	−	1.24963i	−0.0332142	−	0.0534794i
$547$	4.34997	+	4.03618i	0.185991	+	0.172575i	0.767673	−	0.640842i	$-0.221415\pi$
$547$	4.34997	+	4.03618i	0.185991	+	0.172575i	−0.581682	+	0.813416i	$0.697605\pi$
$548$	−2.44818	−	1.53829i	−0.104581	−	0.0657126i
$549$	−12.9420	+	2.30870i	−0.552349	+	0.0985331i
$550$		−	0.355365i		−	0.0151528i
$551$	28.6474	+	6.26661i	1.22042	+	0.266967i
$552$	2.66120	+	1.98565i	0.113268	+	0.0845150i
$553$	9.02398	+	20.6832i	0.383739	+	0.879539i
$554$	0.0246180		0.000921142i	0.00104592		3.91356e-5i
$555$	19.2822	−	16.4188i	0.818482	−	0.696938i
$556$	2.55299	+	16.9380i	0.108271	+	0.718330i
$557$	4.61313	−	5.78468i	0.195465	−	0.245105i	−0.674434	−	0.738335i	$-0.735612\pi$
$557$	4.61313	−	5.78468i	0.195465	−	0.245105i	0.869899	+	0.493230i	$0.164184\pi$
$558$	−4.69436	+	7.93782i	−0.198728	+	0.336035i
$559$	−4.99706	−	1.74855i	−0.211353	−	0.0739557i
$560$	1.29194	−	17.2397i	0.0545943	−	0.728510i
$561$	−1.01666	−	2.13968i	−0.0429233	−	0.0903375i
$562$	−6.76285	−	5.81990i	−0.285274	−	0.245498i
$563$	−17.0959	−	4.58083i	−0.720506	−	0.193059i	−0.120109	−	0.992761i	$-0.538324\pi$
$563$	−17.0959	−	4.58083i	−0.720506	−	0.193059i	−0.600398	+	0.799702i	$0.704991\pi$
$564$	−27.2106	−	1.16079i	−1.14577	−	0.0488779i
$565$	26.2206	+	11.4399i	1.10311	+	0.481282i
$566$	0.0613866	+	0.544821i	0.00258027	+	0.0229005i
$567$	−13.2835	−	17.3918i	−0.557856	−	0.730385i
$568$	−4.40190	+	4.40190i	−0.184700	+	0.184700i
$569$	−3.54997	+	18.7620i	−0.148822	+	0.786545i	0.826019	+	0.563643i	$0.190601\pi$
$569$	−3.54997	+	18.7620i	−0.148822	+	0.786545i	−0.974841	+	0.222902i	$0.928447\pi$
$570$	5.09891	+	3.51561i	0.213570	+	0.147253i
$571$	−15.6425	−	10.6649i	−0.654617	−	0.446310i	0.189926	−	0.981798i	$-0.439175\pi$
$571$	−15.6425	−	10.6649i	−0.654617	−	0.446310i	−0.844543	+	0.535488i	$0.820128\pi$
$572$	0.666692	+	3.52355i	0.0278758	+	0.147327i
$573$	−24.8181	+	2.66487i	−1.03679	+	0.111327i
$574$	2.04151	+	5.20168i	0.0852109	+	0.217114i
$575$	−0.806645	+	0.643278i	−0.0336394	+	0.0268265i
$576$	9.50491	+	14.2596i	0.396038	+	0.594149i
$577$	23.7536	−	37.8037i	0.988877	−	1.57379i	0.181805	−	0.983335i	$-0.441806\pi$
$577$	23.7536	−	37.8037i	0.988877	−	1.57379i	0.807072	−	0.590454i	$-0.201051\pi$
$578$	3.06188	−	4.14870i	0.127357	−	0.172563i
$579$	18.7511	−	25.1305i	0.779270	−	1.04439i
$580$	−16.0319	+	14.0509i	−0.665690	+	0.583432i
$581$	29.1720	−	16.8425i	1.21026	−	0.698744i
$582$	−4.13093	+	4.40562i	−0.171233	+	0.182619i
$583$	−1.32025	+	0.697771i	−0.0546791	+	0.0288987i
$584$	−1.05374	+	4.61675i	−0.0436042	+	0.191043i
$585$	3.95923	−	5.67850i	0.163694	−	0.234777i
$586$	−5.47427	−	4.36559i	−0.226140	−	0.180341i
$587$	3.53710	−	11.4670i	0.145992	−	0.473294i	−0.852811	−	0.522220i	$-0.825104\pi$
$587$	3.53710	−	11.4670i	0.145992	−	0.473294i	0.998802	+	0.0489265i	$0.0155800\pi$
$588$	−1.56993	+	3.21682i	−0.0647429	+	0.132659i
$589$	−29.9101	+	43.8700i	−1.23242	+	1.80763i
$590$	−2.76788	+	5.23708i	−0.113952	+	0.215607i
$591$	11.6580	+	12.6970i	0.479545	+	0.522283i
$592$	−23.1467	+	6.20214i	−0.951324	+	0.254907i
$593$	39.1778	+	18.8670i	1.60884	+	0.774776i	0.999831	−	0.0183882i	$-0.00585348\pi$
$593$	39.1778	+	18.8670i	1.60884	+	0.774776i	0.609008	+	0.793164i	$0.291568\pi$
$594$	−0.780400	−	2.67860i	−0.0320202	−	0.109904i
$595$	−4.04165	+	0.455385i	−0.165692	+	0.0186689i
$596$	−18.3806	−	26.9594i	−0.752898	−	1.10430i
$597$	8.80682	−	22.0986i	0.360439	−	0.904437i
$598$	−0.355157	+	0.412700i	−0.0145235	+	0.0168766i
$599$	27.6760	+	14.6272i	1.13081	+	0.597650i	0.924631	−	0.380864i	$-0.124373\pi$
$599$	27.6760	+	14.6272i	1.13081	+	0.597650i	0.206179	+	0.978514i	$0.433897\pi$
$600$	1.33302	−	0.458627i	0.0544203	−	0.0187234i
$601$	7.40926	+	8.60972i	0.302230	+	0.351198i	0.888466	−	0.458943i	$-0.151772\pi$
$601$	7.40926	+	8.60972i	0.302230	+	0.351198i	−0.586236	+	0.810141i	$0.699391\pi$
$602$	0.815173	+	3.57151i	0.0332240	+	0.145564i
$603$	2.42906	−	1.89586i	0.0989190	−	0.0772053i
$604$	−11.0594	−	13.8681i	−0.450002	−	0.564285i
$605$	−11.4744	+	12.3664i	−0.466500	+	0.502767i
$606$	7.89481	−	3.05090i	0.320705	−	0.123934i
$607$	25.6042	−	11.1710i	1.03924	−	0.453417i	0.190202	−	0.981745i	$-0.439086\pi$
$607$	25.6042	−	11.1710i	1.03924	−	0.453417i	0.849040	+	0.528328i	$0.177181\pi$
$608$	−9.62666	−	16.6739i	−0.390412	−	0.676214i
$609$	−21.3790	+	7.57235i	−0.866320	+	0.306847i
$610$	−1.43874	+	2.49198i	−0.0582531	+	0.100897i
$611$	1.02624	−	9.10813i	0.0415172	−	0.368475i
$612$	3.27153	−	3.20375i	0.132244	−	0.129504i
$613$	−31.5645	−	7.20439i	−1.27488	−	0.290982i	−0.469070	−	0.883161i	$-0.655411\pi$
$613$	−31.5645	−	7.20439i	−1.27488	−	0.290982i	−0.805807	+	0.592178i	$0.798268\pi$
$614$	3.04152	−	0.458436i	0.122746	−	0.0185010i
$615$	−18.6913	+	18.4967i	−0.753708	+	0.745860i
$616$	3.73315	−	3.46386i	0.150413	−	0.139563i
$617$	40.5290	−	7.66849i	1.63163	−	0.308722i	0.712204	−	0.701973i	$-0.247697\pi$
$617$	40.5290	−	7.66849i	1.63163	−	0.308722i	0.919431	+	0.393251i	$0.128650\pi$
$618$	−2.36434	+	2.71851i	−0.0951078	+	0.109354i
$619$	−0.439159	−	11.7368i	−0.0176513	−	0.471741i	−0.979891	−	0.199536i	$-0.936057\pi$
$619$	−0.439159	−	11.7368i	−0.0176513	−	0.471741i	0.962239	−	0.272205i	$-0.0877529\pi$
$620$	−12.7483	−	36.4325i	−0.511983	−	1.46316i
$621$	−4.66751	+	6.62021i	−0.187301	+	0.265660i
$622$	3.66639	−	7.61335i	0.147009	−	0.305267i
$623$	−9.51026	+	21.7978i	−0.381021	+	0.873309i
$624$	−5.68966	+	3.24534i	−0.227769	+	0.129918i
$625$	−1.58822	−	21.1933i	−0.0635288	−	0.847732i
$626$	−0.00352583	+	0.0131586i	−0.000140920	+	0.000525922i
$627$	−3.49241	−	15.6791i	−0.139473	−	0.626161i
$628$	−25.7076	+	0.961910i	−1.02584	+	0.0383844i
$629$	2.44608	+	5.07935i	0.0975317	+	0.202527i
$630$	−4.78462	−	0.229201i	−0.190624	−	0.00913160i
$631$	−41.0108	+	9.36046i	−1.63262	+	0.372634i	−0.937969	−	0.346718i	$-0.887296\pi$
$631$	−41.0108	+	9.36046i	−1.63262	+	0.372634i	−0.694646	+	0.719352i	$0.744439\pi$
$632$	−10.6235	+	4.16941i	−0.422580	+	0.165850i
$633$	0.436639	+	13.5697i	0.0173548	+	0.539349i
$634$	6.63936	−	2.04797i	0.263683	−	0.0813354i
$635$	1.07772	−	28.8027i	0.0427680	−	1.14300i
$636$	−2.10560	−	1.97432i	−0.0834925	−	0.0782869i
$637$	−1.04324	−	0.602317i	−0.0413348	−	0.0238647i
$638$	−2.89029	−	0.0819837i	−0.114428	−	0.00324577i
$639$	−11.0239	−	10.4456i	−0.436100	−	0.413220i
$640$	18.3631	+	2.06902i	0.725864	+	0.0817852i
$641$	14.3421	+	27.1366i	0.566480	+	1.07183i	0.986414	+	0.164277i	$0.0525292\pi$
$641$	14.3421	+	27.1366i	0.566480	+	1.07183i	−0.419934	+	0.907554i	$0.637947\pi$
$642$	1.28222	−	3.60377i	0.0506052	−	0.142229i
$643$	−10.4777	−	4.11220i	−0.413201	−	0.162169i	0.149629	−	0.988742i	$-0.452192\pi$
$643$	−10.4777	−	4.11220i	−0.413201	−	0.162169i	−0.562830	+	0.826573i	$0.690287\pi$
$644$	−7.12390	−	1.07376i	−0.280721	−	0.0423119i
$645$	−13.9241	+	10.1643i	−0.548262	+	0.400220i
$646$	−1.04502	+	0.899311i	−0.0411157	+	0.0353829i
$647$	36.0082	−	17.3406i	1.41563	−	0.681730i	0.439363	−	0.898310i	$-0.355204\pi$
$647$	36.0082	−	17.3406i	1.41563	−	0.681730i	0.976265	+	0.216579i	$0.0694900\pi$
$648$	9.04062	−	6.38434i	0.355149	−	0.250800i
$649$	14.5012	−	5.07418i	0.569221	−	0.199179i
$650$	0.0598304	+	0.223290i	0.00234674	+	0.00875816i
$651$	1.75024	−	41.0282i	0.0685973	−	1.60802i
$652$	15.2968	−	11.2896i	0.599069	−	0.442133i
$653$	−12.3200	+	9.09254i	−0.482117	+	0.355819i	−0.807601	−	0.589729i	$-0.799235\pi$
$653$	−12.3200	+	9.09254i	−0.482117	+	0.355819i	0.325484	+	0.945548i	$0.394473\pi$
$654$	−5.62904	−	3.57819i	−0.220113	−	0.139918i
$655$	−7.18570	−	26.8174i	−0.280769	−	1.04784i
$656$	23.4856	−	8.21796i	0.916958	−	0.320858i
$657$	−11.3279	−	2.26642i	−0.441944	−	0.0884216i
$658$	−5.71427	+	2.75185i	−0.222765	+	0.107278i
$659$	−17.2126	+	14.8126i	−0.670507	+	0.577018i	−0.920268	−	0.391290i	$-0.872029\pi$
$659$	−17.2126	+	14.8126i	−0.670507	+	0.577018i	0.249761	+	0.968308i	$0.419648\pi$
$660$	10.6784	+	4.72561i	0.415656	+	0.183944i
$661$	−6.52769	−	0.983891i	−0.253898	−	0.0382689i	0.0208601	−	0.999782i	$-0.493360\pi$
$661$	−6.52769	−	0.983891i	−0.253898	−	0.0382689i	−0.274758	+	0.961513i	$0.588598\pi$
$662$	1.10562	+	0.433923i	0.0429711	+	0.0168649i
$663$	0.999051	+	1.17328i	0.0387999	+	0.0455665i
$664$	7.96020	+	15.0614i	0.308916	+	0.584497i
$665$	−27.4057	−	3.08788i	−1.06275	−	0.119743i
$666$	1.89055	+	6.36481i	0.0732575	+	0.246631i
$667$	5.04589	+	6.70910i	0.195378	+	0.259778i
$668$	29.2208	+	16.8706i	1.13059	+	0.652744i
$669$	−7.75574	+	33.1787i	−0.299854	+	1.28276i
$670$	0.0252185	−	0.673979i	0.000974276	−	0.0260381i
$671$	7.13152	−	2.19978i	0.275309	−	0.0849217i
$672$	13.1287	+	7.02686i	0.506450	+	0.271067i
$673$	9.22819	−	3.62180i	0.355721	−	0.139610i	−0.180750	−	0.983529i	$-0.557852\pi$
$673$	9.22819	−	3.62180i	0.355721	−	0.139610i	0.536471	+	0.843919i	$0.319757\pi$
$674$	−2.26028	+	0.515893i	−0.0870626	+	0.0198715i
$675$	1.20601	+	3.22065i	0.0464193	+	0.123963i
$676$	9.70820	+	20.1593i	0.373392	+	0.775357i
$677$	43.0189	−	1.60965i	1.65335	−	0.0618640i	0.805667	−	0.592368i	$-0.201807\pi$
$677$	43.0189	−	1.60965i	1.65335	−	0.0618640i	0.847682	+	0.530504i	$0.177997\pi$
$678$	−5.52461	+	5.07254i	−0.212171	+	0.194810i
$679$	6.96047	−	25.9768i	0.267118	−	0.996900i
$680$	−0.153714	−	2.05118i	−0.00589468	−	0.0786590i
$681$	−0.187353	+	35.7976i	−0.00717938	+	1.37177i
$682$	2.09356	−	4.79850i	0.0801667	−	0.183744i
$683$	−10.6591	+	22.1338i	−0.407859	+	0.846928i	0.591321	+	0.806436i	$0.298607\pi$
$683$	−10.6591	+	22.1338i	−0.407859	+	0.846928i	−0.999180	+	0.0404914i	$0.987108\pi$
$684$	26.4615	−	16.2431i	1.01178	−	0.621069i
$685$	−1.04651	−	2.99075i	−0.0399850	−	0.114271i
$686$	0.231818	+	6.19546i	0.00885084	+	0.236544i
$687$	−23.3940	−	4.55333i	−0.892536	−	0.173720i
$688$	16.0277	−	3.03260i	0.611050	−	0.115617i
$689$	0.712086	−	0.660719i	0.0271283	−	0.0251714i
$690$	0.449914	+	1.71495i	0.0171279	+	0.0652872i
$691$	30.3984	−	4.58182i	1.15641	−	0.174301i	0.457298	−	0.889313i	$-0.348817\pi$
$691$	30.3984	−	4.58182i	1.15641	−	0.174301i	0.699112	+	0.715013i	$0.253579\pi$
$692$	12.5525	+	2.86503i	0.477176	+	0.108912i
$693$	8.69243	+	8.87634i	0.330198	+	0.337184i
$694$	0.349127	−	3.09858i	0.0132527	−	0.117621i
$695$	−9.38577	+	16.2566i	−0.356022	+	0.616649i
$696$	−3.42263	−	10.9477i	−0.129734	−	0.414971i
$697$	−2.92688	−	5.06951i	−0.110864	−	0.192021i
$698$	8.87080	−	3.87029i	0.335765	−	0.146493i
$699$	5.56838	−	35.6758i	0.210615	−	1.34938i
$700$	−2.08046	+	2.24220i	−0.0786340	+	0.0847473i
$701$	−2.65122	−	3.32453i	−0.100135	−	0.125566i	0.729239	−	0.684259i	$-0.239874\pi$
$701$	−2.65122	−	3.32453i	−0.100135	−	0.125566i	−0.829374	+	0.558693i	$0.811303\pi$
$702$	0.941335	+	1.55168i	0.0355284	+	0.0585645i
$703$	8.50651	+	37.2694i	0.320829	+	1.40564i
$704$	−6.34588	−	7.37404i	−0.239169	−	0.277920i
$705$	−22.5206	−	19.5866i	−0.848173	−	0.737674i
$706$	6.59120	+	3.48355i	0.248063	+	0.131105i
$707$	−24.5841	+	28.5673i	−0.924582	+	1.07438i
$708$	18.3935	+	23.3140i	0.691270	+	0.876193i
$709$	10.4599	+	15.3419i	0.392831	+	0.576178i	0.970803	−	0.239879i	$-0.0771078\pi$
$709$	10.4599	+	15.3419i	0.392831	+	0.576178i	−0.577971	+	0.816057i	$0.696155\pi$
$710$	−3.30321	+	0.372183i	−0.123967	+	0.0139678i
$711$	−10.8657	−	25.6332i	−0.407496	−	0.961319i
$712$	−10.8363	−	5.21848i	−0.406107	−	0.195571i
$713$	−14.6819	+	3.93400i	−0.549841	+	0.147329i
$714$	0.319631	−	1.01728i	0.0119619	−	0.0380709i
$715$	−1.83631	+	3.47446i	−0.0686740	+	0.129938i
$716$	20.3358	−	29.8271i	0.759983	−	1.11469i
$717$	−16.7980	−	24.9174i	−0.627333	−	0.930556i
$718$	0.628712	−	2.03823i	0.0234633	−	0.0760662i
$719$	−0.465547	−	0.371261i	−0.0173620	−	0.0138457i	0.614770	−	0.788706i	$-0.289249\pi$
$719$	−0.465547	−	0.371261i	−0.0173620	−	0.0138457i	−0.632132	+	0.774860i	$0.717820\pi$
$720$	−1.81648	+	21.2518i	−0.0676962	+	0.792006i
$721$	3.56998	−	15.6411i	0.132953	−	0.582505i
$722$	−2.96943	+	1.56939i	−0.110511	+	0.0584067i
$723$	13.3737	+	3.12618i	0.497372	+	0.116264i
$724$	20.2937	−	11.7165i	0.754208	−	0.435442i
$725$	3.56030	−	0.165467i	0.132226	−	0.00614531i
$726$	−1.74741	−	4.06298i	−0.0648523	−	0.150791i
$727$	25.4823	−	34.5273i	0.945087	−	1.28055i	−0.0147217	−	0.999892i	$-0.504686\pi$
$727$	25.4823	−	34.5273i	0.945087	−	1.28055i	0.959809	−	0.280656i	$-0.0905519\pi$
$728$	−1.76250	+	2.80501i	−0.0653228	+	0.103961i
$729$	16.1632	+	21.6276i	0.598636	+	0.801021i
$730$	−1.97696	+	1.57657i	−0.0731705	+	0.0583515i
$731$	−1.40204	−	3.57234i	−0.0518563	−	0.132128i
$732$	8.50535	+	11.6515i	0.314367	+	0.430651i
$733$	2.44440	+	12.9190i	0.0902860	+	0.477173i	0.998303	+	0.0582388i	$0.0185485\pi$
$733$	2.44440	+	12.9190i	0.0902860	+	0.477173i	−0.908017	+	0.418934i	$0.862404\pi$
$734$	8.47066	+	5.77520i	0.312658	+	0.213167i
$735$	−3.54304	+	1.68345i	−0.130687	+	0.0620951i
$736$	1.02468	−	5.41556i	0.0377702	−	0.199620i
$737$	−1.23692	+	1.23692i	−0.0455624	+	0.0455624i
$738$	−2.45142	−	6.44363i	−0.0902379	−	0.237193i
$739$	−4.38586	−	38.9256i	−0.161336	−	1.43190i	−0.769783	−	0.638306i	$-0.779636\pi$
$739$	−4.38586	−	38.9256i	−0.161336	−	1.43190i	0.608446	−	0.793595i	$-0.291793\pi$
$740$	−25.4713	−	11.1130i	−0.936342	−	0.408522i
$741$	4.83420	+	9.26379i	0.177589	+	0.340314i
$742$	−0.649268	−	0.173971i	−0.0238354	−	0.00638667i
$743$	13.0549	+	11.2347i	0.478938	+	0.412160i	0.858347	−	0.513070i	$-0.171492\pi$
$743$	13.0549	+	11.2347i	0.478938	+	0.412160i	−0.379409	+	0.925229i	$0.623873\pi$
$744$	20.7017	+	1.66038i	0.758961	+	0.0608723i
$745$	2.67215	−	35.6573i	0.0978998	−	1.30638i
$746$	−5.82823	−	2.03939i	−0.213387	−	0.0746672i
$747$	−36.2068	+	20.4017i	−1.32474	+	0.746459i
$748$	−1.62074	+	2.03234i	−0.0592601	+	0.0743098i
$749$	2.53863	+	16.8427i	0.0927597	+	0.615420i
$750$	6.06691	+	2.15861i	0.221532	+	0.0788213i
$751$	35.5543	+	1.33035i	1.29739	+	0.0485450i	0.677139	−	0.735855i	$-0.263220\pi$
$751$	35.5543	+	1.33035i	1.29739	+	0.0485450i	0.620255	+	0.784400i	$0.287029\pi$
$752$	11.2934	+	25.8847i	0.411827	+	0.943918i
$753$	−9.53775	+	4.10200i	−0.347575	+	0.149485i
$754$	1.82989	−	0.435106i	0.0666408	−	0.0158456i
$755$		−	19.4386i		−	0.707442i
$756$	−10.7577	+	21.4697i	−0.391254	+	0.780844i
$757$	−33.0359	−	20.7578i	−1.20071	−	0.754457i	−0.225180	−	0.974317i	$-0.572297\pi$
$757$	−33.0359	−	20.7578i	−1.20071	−	0.754457i	−0.975531	+	0.219860i	$0.929440\pi$
$758$	−0.415834	−	0.385838i	−0.0151038	−	0.0140143i
$759$	2.16996	−	4.05425i	0.0787644	−	0.147160i
$760$	2.07879	−	13.7919i	0.0754057	−	0.500284i
$761$	16.2521	+	17.5156i	0.589138	+	0.634940i	0.955309	−	0.295608i	$-0.0955222\pi$
$761$	16.2521	+	17.5156i	0.589138	+	0.634940i	−0.366172	+	0.930547i	$0.619332\pi$
$762$	6.79098	+	3.31426i	0.246011	+	0.120063i
$763$	29.6185	+	2.21960i	1.07226	+	0.0803550i
$764$	14.5723	+	23.1917i	0.527207	+	0.839045i
$765$	4.99202	−	0.509610i	0.180487	−	0.0184250i
$766$	4.14957	+	4.14957i	0.149930	+	0.149930i
$767$	−8.25738	+	5.62978i	−0.298157	+	0.203280i
$768$	7.53933	−	12.9021i	0.272052	−	0.465564i
$769$	−5.99378	−	8.12128i	−0.216141	−	0.292861i	0.683090	−	0.730334i	$-0.260635\pi$
$769$	−5.99378	−	8.12128i	−0.216141	−	0.292861i	−0.899232	+	0.437473i	$0.855874\pi$
$770$	2.71172	−	0.203216i	0.0977238	−	0.00732338i
$771$	1.79209	+	12.3272i	0.0645406	+	0.443952i
$772$	−33.8067	−	6.39657i	−1.21673	−	0.230218i
$773$	−31.7179	+	19.9297i	−1.14081	+	0.716820i	−0.963599	−	0.267352i	$-0.913851\pi$
$773$	−31.7179	+	19.9297i	−1.14081	+	0.716820i	−0.177214	+	0.984172i	$0.556708\pi$
$774$	−0.959549	−	4.41666i	−0.0344903	−	0.158754i
$775$	−2.13139	+	6.09117i	−0.0765618	+	0.218801i
$776$	12.9965	+	4.00890i	0.466548	+	0.143911i
$777$	−20.7968	−	21.0156i	−0.746080	−	0.753930i
$778$	0.336679	−	0.857845i	0.0120705	−	0.0307552i
$779$	−11.6998	−	37.9299i	−0.419190	−	1.35898i
$780$	−7.50529	−	1.17144i	−0.268732	−	0.0419444i
$781$	6.93681	+	5.11960i	0.248218	+	0.183194i
$782$	−0.394682			−0.0141138
$783$	26.4728	−	9.06585i	0.946062	−	0.323987i
$784$	3.71166			0.132559
$785$	−22.6832	−	16.7410i	−0.809598	−	0.597511i
$786$	7.19175	+	1.12251i	0.256521	+	0.0400385i
$787$	−5.81566	−	18.8539i	−0.207306	−	0.672069i	−0.998192	−	0.0601058i	$-0.980856\pi$
$787$	−5.81566	−	18.8539i	−0.207306	−	0.672069i	0.790886	−	0.611963i	$-0.209620\pi$
$788$	6.91030	−	17.6072i	0.246169	−	0.627229i
$789$	−6.25094	−	6.31672i	−0.222539	−	0.224881i
$790$	−5.82319	−	1.79622i	−0.207180	−	0.0639065i
$791$	11.0306	−	31.5238i	0.392204	−	1.12086i
$792$	−4.65029	+	4.22512i	−0.165241	+	0.150133i
$793$	−4.11066	+	2.58290i	−0.145974	+	0.0917215i
$794$	9.15950	+	1.73307i	0.325058	+	0.0615044i
$795$	−0.455069	−	3.13026i	−0.0161396	−	0.111019i
$796$	−26.0309	+	1.95075i	−0.922640	+	0.0691423i
$797$	−13.1824	−	17.8615i	−0.466944	−	0.632686i	0.506329	−	0.862341i	$-0.331002\pi$
$797$	−13.1824	−	17.8615i	−0.466944	−	0.632686i	−0.973272	+	0.229655i	$0.926240\pi$
$798$	3.64798	−	6.24280i	0.129137	−	0.220993i
$799$	5.48958	−	3.74273i	0.194207	−	0.132408i
$800$	−1.65467	−	1.65467i	−0.0585013	−	0.0585013i
$801$	12.0142	−	26.7689i	0.424501	−	0.945831i
$802$	1.48149	+	2.35777i	0.0523131	+	0.0832558i
$803$	6.53993	+	0.490100i	0.230789	+	0.0172953i
$804$	−3.03863	−	1.48297i	−0.107164	−	0.0523003i
$805$	−5.37002	−	5.78750i	−0.189268	−	0.203983i
$806$	−0.507580	+	3.36757i	−0.0178787	+	0.118618i
$807$	1.95264	−	3.64824i	0.0687364	−	0.128424i
$808$	−13.9724	−	12.9645i	−0.491548	−	0.456090i
$809$	1.43413	+	0.901126i	0.0504214	+	0.0316819i	0.557007	−	0.830508i	$-0.311950\pi$
$809$	1.43413	+	0.901126i	0.0504214	+	0.0316819i	−0.506585	+	0.862190i	$0.669093\pi$
$810$	5.89978	+	0.344551i	0.207297	+	0.0121063i
$811$		−	7.26111i		−	0.254972i	−0.991840	−	0.127486i	$-0.959309\pi$
$811$		−	7.26111i		−	0.254972i	0.991840	−	0.127486i	$-0.0406908\pi$
$812$	17.7566	+	17.4383i	0.623134	+	0.611965i
$813$	−47.2575	+	20.3245i	−1.65739	+	0.712811i
$814$	−1.50732	−	3.45480i	−0.0528314	−	0.121091i
$815$	20.8199	+	0.779026i	0.729289	+	0.0272881i
$816$	−4.47335	−	1.59162i	−0.156599	−	0.0557178i
$817$	−3.87841	−	25.7316i	−0.135688	−	0.900233i
$818$	−3.72293	+	4.66840i	−0.130169	+	0.163227i
$819$	−6.95626	−	4.11388i	−0.243071	−	0.143750i
$820$	27.2361	+	9.53031i	0.951124	+	0.332813i
$821$	0.714007	−	9.52776i	0.0249190	−	0.332521i	−0.970787	−	0.239945i	$-0.922871\pi$
$821$	0.714007	−	9.52776i	0.0249190	−	0.332521i	0.995706	−	0.0925764i	$-0.0295102\pi$
$822$	0.828051	+	0.0664137i	0.0288816	+	0.00231644i
$823$	−10.0217	−	8.62437i	−0.349334	−	0.300626i	0.460065	−	0.887885i	$-0.347826\pi$
$823$	−10.0217	−	8.62437i	−0.349334	−	0.300626i	−0.809399	+	0.587259i	$0.800207\pi$
$824$	7.83717	+	2.09996i	0.273021	+	0.0731557i
$825$	−0.903220	−	1.73084i	−0.0314461	−	0.0602602i
$826$	6.33842	+	2.76543i	0.220542	+	0.0962214i
$827$	1.26940	+	11.2663i	0.0441415	+	0.391767i	0.996285	+	0.0861157i	$0.0274455\pi$
$827$	1.26940	+	11.2663i	0.0441415	+	0.391767i	−0.952144	+	0.305651i	$0.901126\pi$
$828$	8.77482	+	1.41668i	0.304946	+	0.0492330i
$829$	−13.4689	+	13.4689i	−0.467793	+	0.467793i	−0.901199	−	0.433406i	$-0.857312\pi$
$829$	−13.4689	+	13.4689i	−0.467793	+	0.467793i	0.433406	+	0.901199i	$0.357312\pi$
$830$	−1.69116	+	8.93798i	−0.0587009	+	0.310242i
$831$	0.122246	−	0.0580844i	0.00424067	−	0.00201492i
$832$	5.22889	+	3.56500i	0.181279	+	0.123594i
$833$	−0.162341	−	0.857991i	−0.00562477	−	0.0297276i
$834$	−2.90166	−	3.97498i	−0.100476	−	0.137642i
$835$	13.5089	+	34.4201i	0.467495	+	1.19116i
$836$	−13.7810	+	10.9899i	−0.476624	+	0.380095i
$837$	−2.68908	+	50.5935i	−0.0929483	+	1.74877i
$838$	5.24343	−	8.34486i	0.181131	−	0.288269i
$839$	15.8857	−	21.5244i	0.548436	−	0.743104i	−0.439453	−	0.898265i	$-0.644828\pi$
$839$	15.8857	−	21.5244i	0.548436	−	0.743104i	0.987889	+	0.155161i	$0.0495897\pi$
$840$	4.26199	+	9.90976i	0.147053	+	0.341919i
$841$	−0.524427	−	28.9953i	−0.0180837	−	0.999836i
$842$	−4.36614	+	2.52079i	−0.150467	+	0.0868722i
$843$	−47.7315	−	11.1575i	−1.64396	−	0.384286i
$844$	13.1715	−	6.96137i	0.453383	−	0.239620i
$845$	−5.45628	+	23.9055i	−0.187702	+	0.822375i
$846$	7.08518	−	3.32113i	0.243593	−	0.114183i
$847$	15.3979	+	12.2794i	0.529079	+	0.421926i
$848$	−0.882210	+	2.86006i	−0.0302952	+	0.0982147i
$849$	1.68374	+	2.49758i	0.0577859	+	0.0857168i
$850$	−0.0943944	+	0.138451i	−0.00323770	+	0.00474883i
$851$	−5.11355	+	9.67532i	−0.175290	+	0.331666i
$852$	−4.99526	+	15.8984i	−0.171135	+	0.544669i
$853$	−29.3726	+	7.87035i	−1.00570	+	0.269476i	−0.723831	−	0.689978i	$-0.757620\pi$
$853$	−29.3726	+	7.87035i	−1.00570	+	0.269476i	−0.281867	+	0.959454i	$0.590954\pi$
$854$	3.02665	+	1.45756i	0.103570	+	0.0498766i
$855$	33.7703	+	4.16340i	1.15492	+	0.142385i
$856$	−8.55997	+	0.964477i	−0.292574	+	0.0329651i
$857$	11.9113	+	17.4707i	0.406883	+	0.596787i	0.973916	−	0.226907i	$-0.0728614\pi$
$857$	11.9113	+	17.4707i	0.406883	+	0.596787i	−0.567034	+	0.823695i	$0.691909\pi$
$858$	−0.638162	−	0.808879i	−0.0217865	−	0.0276147i
$859$	27.1709	−	31.5732i	0.927060	−	1.07726i	−0.0697585	−	0.997564i	$-0.522223\pi$
$859$	27.1709	−	31.5732i	0.927060	−	1.07726i	0.996819	−	0.0796998i	$-0.0253962\pi$
$860$	16.7248	+	8.83932i	0.570311	+	0.301418i
$861$	23.1643	+	20.1465i	0.789439	+	0.686591i
$862$	−6.16544	−	7.16437i	−0.209996	−	0.244019i
$863$	−8.68958	−	38.0715i	−0.295797	−	1.29597i	−0.876321	−	0.481727i	$-0.840010\pi$
$863$	−8.68958	−	38.0715i	−0.295797	−	1.29597i	0.580525	−	0.814243i	$-0.302848\pi$
$864$	−16.1060	−	8.83850i	−0.547936	−	0.300692i
$865$	8.79729	+	11.0314i	0.299117	+	0.375080i
$866$	7.37102	−	7.94407i	0.250477	−	0.269950i
$867$	4.36859	−	27.9889i	0.148365	−	0.950554i
$868$	−41.3020	+	18.0199i	−1.40188	+	0.611635i
$869$	7.90263	+	13.6878i	0.268078	+	0.464325i
$870$	2.21591	−	5.70990i	0.0751264	−	0.193584i
$871$	0.568953	−	0.985455i	0.0192782	−	0.0333909i
$872$	−1.68182	+	14.9266i	−0.0569538	+	0.505479i
$873$	−8.92253	+	31.9575i	−0.301982	+	1.08160i
$874$	−2.60917	−	0.595525i	−0.0882564	−	0.0201439i
$875$	−28.3546	+	4.27377i	−0.958561	+	0.144480i
$876$	3.21683	+	12.2617i	0.108687	+	0.414285i
$877$	−4.48578	+	4.16219i	−0.151474	+	0.140547i	−0.752270	−	0.658855i	$-0.771041\pi$
$877$	−4.48578	+	4.16219i	−0.151474	+	0.140547i	0.600796	+	0.799403i	$0.294850\pi$
$878$	7.12458	−	1.34804i	0.240443	−	0.0454942i
$879$	−37.7589	−	7.34927i	−1.27358	−	0.247885i
$880$	−0.452753	−	12.1001i	−0.0152623	−	0.407893i
$881$	−15.6665	−	44.7724i	−0.527819	−	1.50842i	−0.831434	−	0.555624i	$-0.812479\pi$
$881$	−15.6665	−	44.7724i	−0.527819	−	1.50842i	0.303615	−	0.952795i	$-0.401806\pi$
$882$	−0.0276946	−	1.02804i	−0.000932525	−	0.0346159i
$883$	−10.8483	+	22.5268i	−0.365075	+	0.758086i	−0.999894	−	0.0145752i	$-0.995360\pi$
$883$	−10.8483	+	22.5268i	−0.365075	+	0.758086i	0.634819	+	0.772661i	$0.281075\pi$
$884$	0.676204	−	1.54988i	0.0227432	−	0.0521280i
$885$	−0.170318	+	32.5428i	−0.00572519	+	1.09391i
$886$	−0.688669	−	9.18965i	−0.0231363	−	0.308732i
$887$	−2.90868	+	10.8554i	−0.0976640	+	0.364487i	−0.997410	−	0.0719271i	$-0.977085\pi$
$887$	−2.90868	+	10.8554i	−0.0976640	+	0.364487i	0.899746	+	0.436414i	$0.143752\pi$
$888$	11.0141	−	10.1128i	0.369609	−	0.339365i
$889$	−33.6257	+	1.25819i	−1.12777	+	0.0421982i
$890$	−2.78653	−	5.78630i	−0.0934049	−	0.193957i
$891$	−10.6091	−	11.0629i	−0.355420	−	0.370621i
$892$	36.4516	−	8.31984i	1.22049	−	0.278569i
$893$	41.9379	−	16.4594i	1.40340	−	0.550793i
$894$	8.26519	+	4.42377i	0.276429	+	0.147953i
$895$	37.8033	−	11.6608i	1.26362	−	0.389777i
$896$	0.806664	−	21.5586i	0.0269488	−	0.720221i
$897$	−0.680884	+	2.91279i	−0.0227340	+	0.0972553i
$898$	−9.32676	−	5.38481i	−0.311238	−	0.179693i
$899$	49.0497	+	18.7405i	1.63590	+	0.625032i
$900$	2.59560	−	2.73932i	0.0865199	−	0.0913105i
$901$	0.699719	+	0.0788394i	0.0233110	+	0.00262652i
$902$	1.82880	+	3.46025i	0.0608923	+	0.115214i
$903$	13.0480	+	15.3235i	0.434210	+	0.509934i
$904$	15.7229	+	6.17077i	0.522934	+	0.205237i
$905$	25.3929	+	3.82736i	0.844088	+	0.127226i
$906$	4.66032	+	2.06238i	0.154829	+	0.0685179i
$907$	−17.6203	+	15.1635i	−0.585074	+	0.503496i	−0.894286	−	0.447497i	$-0.852316\pi$
$907$	−17.6203	+	15.1635i	−0.585074	+	0.503496i	0.309212	+	0.950993i	$0.399935\pi$
$908$	35.3917	−	17.0437i	1.17451	−	0.565616i
$909$	30.6981	−	34.9257i	1.01819	−	1.15841i
$910$	−1.66967	+	0.584244i	−0.0553491	+	0.0193675i
$911$	3.86341	+	14.4185i	0.128001	+	0.477705i	0.999929	−	0.0119290i	$-0.00379720\pi$
$911$	3.86341	+	14.4185i	0.128001	+	0.477705i	−0.871928	+	0.489634i	$0.837131\pi$
$912$	−27.1709	−	17.2716i	−0.899719	−	0.571921i
$913$	18.9828	−	14.0100i	0.628241	−	0.463663i
$914$	−5.68588	+	4.19637i	−0.188072	+	0.138804i
$915$	−0.673774	+	15.7943i	−0.0222743	+	0.522142i
$916$	6.76871	+	25.2612i	0.223645	+	0.834653i
$917$	−30.5936	+	10.7052i	−1.01029	+	0.353515i
$918$	−0.407463	+	1.25089i	−0.0134483	+	0.0412854i
$919$	51.5942	−	24.8464i	1.70193	−	0.819608i	0.708434	−	0.705777i	$-0.249402\pi$
$919$	51.5942	−	24.8464i	1.70193	−	0.819608i	0.993500	−	0.113832i	$-0.0363125\pi$
$920$	3.02643	−	2.60445i	0.0997784	−	0.0858662i
$921$	13.6489	−	9.96340i	0.449745	−	0.328305i
$922$	−6.65780	−	1.00350i	−0.219263	−	0.0330486i
$923$	−5.22063	−	2.04895i	−0.171839	−	0.0674419i
$924$	4.56988	−	12.8439i	0.150338	−	0.422534i
$925$	2.17104	+	4.10780i	0.0713832	+	0.135064i
$926$	0.849697	+	0.0957378i	0.0279228	+	0.00314614i
$927$	−4.60623	+	19.2502i	−0.151289	+	0.632258i
$928$	−13.8397	+	13.0762i	−0.454309	+	0.429247i
$929$	6.53321	+	3.77195i	0.214348	+	0.123754i	0.603330	−	0.797491i	$-0.293840\pi$
$929$	6.53321	+	3.77195i	0.214348	+	0.123754i	−0.388983	+	0.921245i	$0.627173\pi$
$930$	8.08972	+	7.58534i	0.265272	+	0.248733i
$931$	0.221397	−	5.91697i	0.00725600	−	0.193921i
$932$	−37.8614	+	11.6787i	−1.24019	+	0.382548i
$933$	−1.49304	−	46.4004i	−0.0488800	−	1.51908i
$934$	−11.8494	+	4.65055i	−0.387724	+	0.152171i
$935$	−2.77726	+	0.633892i	−0.0908262	+	0.0207305i
$936$	2.21061	−	3.43775i	0.0722560	−	0.112366i
$937$	4.78678	+	9.93985i	0.156377	+	0.324721i	0.964408	−	0.264420i	$-0.0851806\pi$
$937$	4.78678	+	9.93985i	0.156377	+	0.324721i	−0.808030	+	0.589141i	$0.799466\pi$
$938$	−0.786838	+	0.0294414i	−0.0256912	+	0.000961296i
$939$	0.0162718	+	0.0730517i	0.000531010	+	0.00238395i
$940$	−8.47657	+	31.6350i	−0.276475	+	1.03182i
$941$	−1.85780	−	24.7906i	−0.0605626	−	0.808152i	−0.941949	−	0.335756i	$-0.891008\pi$
$941$	−1.85780	−	24.7906i	−0.0605626	−	0.808152i	0.881386	−	0.472396i	$-0.156611\pi$
$942$	6.42020	−	3.66204i	0.209182	−	0.119316i
$943$	4.54398	−	10.4149i	0.147972	−	0.339156i
$944$	13.3605	−	27.7434i	0.434847	−	0.902970i
$945$	−23.8866	+	11.0446i	−0.777030	+	0.359280i
$946$	0.847435	+	2.42183i	0.0275525	+	0.0787405i
$947$	−1.45395	−	38.8576i	−0.0472470	−	1.26270i	−0.798218	−	0.602369i	$-0.794224\pi$
$947$	−1.45395	−	38.8576i	−0.0472470	−	1.26270i	0.750971	−	0.660335i	$-0.229586\pi$
$948$	−20.0486	+	23.0517i	−0.651147	+	0.748685i
$949$	−4.19182	+	0.793135i	−0.136072	+	0.0257462i
$950$	−0.832929	+	0.772845i	−0.0270238	+	0.0250744i
$951$	27.1325	−	26.8499i	0.879830	−	0.870669i
$952$	−2.37454	+	0.357905i	−0.0769593	+	0.0115998i
$953$	54.0537	+	12.3374i	1.75097	+	0.399648i	0.973394	−	0.229139i	$-0.0735909\pi$
$953$	54.0537	+	12.3374i	1.75097	+	0.399648i	0.777578	+	0.628787i	$0.216448\pi$
$954$	0.798749	+	0.223011i	0.0258605	+	0.00722024i
$955$	−3.36070	+	29.8271i	−0.108750	+	0.965182i
$956$	−16.4876	+	28.5573i	−0.533246	+	0.923610i
$957$	−14.2859	+	6.94686i	−0.461796	+	0.224560i
$958$	3.84863	+	6.66601i	0.124343	+	0.215369i
$959$	−3.39049	+	1.47925i	−0.109485	+	0.0477676i
$960$	19.2222	−	7.42831i	0.620395	−	0.239748i
$961$	−43.5798	+	46.9679i	−1.40580	+	1.51509i
$962$	1.52877	+	1.91702i	0.0492895	+	0.0618071i
$963$	−2.91438	−	20.8115i	−0.0939147	−	0.670641i
$964$	−3.35355	−	14.6929i	−0.108011	−	0.473226i
$965$	−24.5946	−	28.5795i	−0.791729	−	0.920006i
$966$	1.95727	−	0.673403i	0.0629743	−	0.0216664i
$967$	−27.9669	−	14.7809i	−0.899354	−	0.475322i	−0.0473622	−	0.998878i	$-0.515082\pi$
$967$	−27.9669	−	14.7809i	−0.899354	−	0.475322i	−0.851992	+	0.523555i	$0.824605\pi$
$968$	−6.49694	+	7.54958i	−0.208819	+	0.242653i
$969$	−2.80412	+	7.03628i	−0.0900814	+	0.226038i
$970$	4.09109	+	6.00053i	0.131357	+	0.192665i
$971$	−54.1137	+	6.09715i	−1.73659	+	0.195667i	−0.922745	−	0.385411i	$-0.874060\pi$
$971$	−54.1137	+	6.09715i	−1.73659	+	0.195667i	−0.813848	+	0.581078i	$0.802631\pi$
$972$	13.5489	−	26.3480i	0.434582	−	0.845112i
$973$	19.7446	+	9.50850i	0.632983	+	0.304828i
$974$	−1.01551	+	0.272106i	−0.0325391	+	0.00871883i
$975$	0.858940	+	0.935489i	0.0275081	+	0.0299596i
$976$	6.98955	−	13.2249i	0.223730	−	0.423318i
$977$	−1.93079	+	2.83194i	−0.0617713	+	0.0906019i	−0.855882	−	0.517172i	$-0.826985\pi$
$977$	−1.93079	+	2.83194i	−0.0617713	+	0.0906019i	0.794110	+	0.607774i	$0.207937\pi$
$978$	−2.39570	+	4.90884i	−0.0766061	+	0.156967i
$979$	−4.90973	+	15.9169i	−0.156916	+	0.508708i
$980$	3.36530	+	2.68374i	0.107501	+	0.0857289i
$981$	−36.5114	−	3.12079i	−1.16572	−	0.0996391i
$982$	−0.686841	+	3.00925i	−0.0219180	+	0.0960290i
$983$	−25.6898	+	13.5775i	−0.819378	+	0.433054i	−0.823762	−	0.566936i	$-0.808129\pi$
$983$	−25.6898	+	13.5775i	−0.819378	+	0.433054i	0.00438332	+	0.999990i	$0.498605\pi$
$984$	−10.6197	+	11.3258i	−0.338542	+	0.361053i
$985$	17.9510	−	10.3640i	0.571967	−	0.330226i
$986$	1.10429	+	0.799681i	0.0351678	+	0.0254670i
$987$	−20.8377	+	27.9270i	−0.663271	+	0.888925i
$988$	6.80883	−	9.22564i	0.216618	−	0.293507i
$989$	3.96331	−	6.30757i	0.126026	−	0.200569i
$990$	−3.34805	+	0.215686i	−0.106408	+	0.00685497i
$991$	−25.4808	+	20.3203i	−0.809425	+	0.645495i	−0.938167	−	0.346183i	$-0.887478\pi$
$991$	−25.4808	+	20.3203i	−0.809425	+	0.645495i	0.128742	+	0.991678i	$0.458906\pi$
$992$	−12.5949	−	32.0912i	−0.399887	−	1.01890i
$993$	6.48792	−	0.696647i	0.205888	−	0.0221074i
$994$	0.721475	+	3.81309i	0.0228838	+	0.120944i
$995$	−23.6358	−	16.1146i	−0.749307	−	0.510869i
$996$	37.5444	+	25.8862i	1.18964	+	0.820235i
$997$	−0.0616194	+	0.325666i	−0.00195150	+	0.0103139i	−0.983529	−	0.180752i	$-0.942147\pi$
$997$	−0.0616194	+	0.325666i	−0.00195150	+	0.0103139i	0.981577	+	0.191066i	$0.0611945\pi$
$998$	−6.77430	+	6.77430i	−0.214437	+	0.214437i
$999$	25.3854	+	26.1953i	0.803158	+	0.828783i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	261.2.x.a.2.17	✓	672
3.2	odd	2		783.2.be.a.89.12		672
9.4	even	3		783.2.be.a.611.12		672
9.5	odd	6	inner	261.2.x.a.176.17	yes	672
29.15	odd	28	inner	261.2.x.a.218.17	yes	672
87.44	even	28		783.2.be.a.305.12		672
261.131	even	84	inner	261.2.x.a.131.17	yes	672
261.247	odd	84		783.2.be.a.44.12		672

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
261.2.x.a.2.17	✓	672	1.1	even	1	trivial
261.2.x.a.131.17	yes	672	261.131	even	84	inner
261.2.x.a.176.17	yes	672	9.5	odd	6	inner
261.2.x.a.218.17	yes	672	29.15	odd	28	inner
783.2.be.a.44.12		672	261.247	odd	84
783.2.be.a.89.12		672	3.2	odd	2
783.2.be.a.305.12		672	87.44	even	28
783.2.be.a.611.12		672	9.4	even	3

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:	\( N \)	\(=\)	\( 261 = 3^{2} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	261.x (of order \(84\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(0.253664 + 0.187213i) q^{2} +(1.71133 + 0.267109i) q^{3} +(-0.560213 - 1.81617i) q^{4} +(0.760941 - 1.93885i) q^{5} +(0.384097 + 0.388139i) q^{6} +(-2.32357 - 0.716725i) q^{7} +(0.406156 - 1.16073i) q^{8} +(2.85731 + 0.914223i) q^{9} +O(q^{10})\)	\(q+(0.253664 + 0.187213i) q^{2} +(1.71133 + 0.267109i) q^{3} +(-0.560213 - 1.81617i) q^{4} +(0.760941 - 1.93885i) q^{5} +(0.384097 + 0.388139i) q^{6} +(-2.32357 - 0.716725i) q^{7} +(0.406156 - 1.16073i) q^{8} +(2.85731 + 0.914223i) q^{9} +(0.556000 - 0.349358i) q^{10} +(-1.67340 - 0.316624i) q^{11} +(-0.473596 - 3.25770i) q^{12} +(1.10477 - 0.0827912i) q^{13} +(-0.455225 - 0.616809i) q^{14} +(1.82010 - 3.11475i) q^{15} +(-2.82038 + 1.92290i) q^{16} +(0.567857 + 0.567857i) q^{17} +(0.553642 + 0.766829i) q^{18} +(2.89717 + 4.61082i) q^{19} +(-3.94756 - 0.295829i) q^{20} +(-3.78495 - 1.84720i) q^{21} +(-0.365205 - 0.393598i) q^{22} +(-0.232339 + 1.54147i) q^{23} +(1.00511 - 1.87790i) q^{24} +(0.485167 + 0.450169i) q^{25} +(0.295741 + 0.185826i) q^{26} +(4.64560 + 2.32775i) q^{27} +4.62151i q^{28} +(3.77330 - 3.84216i) q^{29} +(1.04482 - 0.449354i) q^{30} +(3.89914 + 8.93692i) q^{31} +(-3.53317 - 0.132202i) q^{32} +(-2.77917 - 0.988828i) q^{33} +(0.0377350 + 0.250355i) q^{34} +(-3.15772 + 3.95965i) q^{35} +(0.0596813 - 5.70151i) q^{36} +(6.62616 + 2.31859i) q^{37} +(-0.128296 + 1.71199i) q^{38} +(1.91275 + 0.153411i) q^{39} +(-1.94141 - 1.67072i) q^{40} +(-7.04085 - 1.88659i) q^{41} +(-0.614286 - 1.17716i) q^{42} +(-4.37995 - 1.91095i) q^{43} +(0.362418 + 3.21655i) q^{44} +(3.94678 - 4.84421i) q^{45} +(-0.347518 + 0.347518i) q^{46} +(1.53811 - 8.12908i) q^{47} +(-5.34022 + 2.53737i) q^{48} +(-0.898405 - 0.612522i) q^{49} +(0.0387921 + 0.205021i) q^{50} +(0.820112 + 1.12347i) q^{51} +(-0.769271 - 1.96007i) q^{52} +(0.685523 - 0.546686i) q^{53} +(0.742637 + 1.46018i) q^{54} +(-1.88724 + 3.00353i) q^{55} +(-1.77566 + 2.40593i) q^{56} +(3.72643 + 8.66451i) q^{57} +(1.67645 - 0.268209i) q^{58} +(-7.81229 + 4.51043i) q^{59} +(-6.67656 - 1.56069i) q^{60} +(-3.87427 + 2.04761i) q^{61} +(-0.684032 + 2.99694i) q^{62} +(-5.98389 - 4.17216i) q^{63} +(4.46610 + 3.56159i) q^{64} +(0.680147 - 2.20498i) q^{65} +(-0.519854 - 0.771125i) q^{66} +(0.578592 - 0.848639i) q^{67} +(0.713203 - 1.34945i) q^{68} +(-0.809349 + 2.57590i) q^{69} +(-1.54230 + 0.413257i) q^{70} +(-4.56093 - 2.19643i) q^{71} +(2.22168 - 2.94524i) q^{72} +(-3.82659 + 0.431153i) q^{73} +(1.24675 + 1.82865i) q^{74} +(0.710037 + 0.899981i) q^{75} +(6.75099 - 7.84480i) q^{76} +(3.66132 + 1.93507i) q^{77} +(0.456474 + 0.397005i) q^{78} +(-6.05345 - 7.03424i) q^{79} +(1.58207 + 6.93149i) q^{80} +(7.32839 + 5.22443i) q^{81} +(-1.43282 - 1.79670i) q^{82} +(-9.42246 + 10.1550i) q^{83} +(-1.23444 + 7.90892i) q^{84} +(1.53309 - 0.668882i) q^{85} +(-0.753282 - 1.30472i) q^{86} +(7.48364 - 5.56733i) q^{87} +(-1.04718 + 1.81376i) q^{88} +(1.09506 - 9.71894i) q^{89} +(1.90805 - 0.489914i) q^{90} +(-2.62635 - 0.599447i) q^{91} +(2.92972 - 0.441585i) q^{92} +(4.28558 + 16.3355i) q^{93} +(1.91203 - 1.77410i) q^{94} +(11.1443 - 2.10861i) q^{95} +(-6.01112 - 1.16998i) q^{96} +(0.413543 + 11.0522i) q^{97} +(-0.113221 - 0.323567i) q^{98} +(-4.49195 - 2.43455i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 672 q - 36 q^{2} - 24 q^{3} - 14 q^{4} - 42 q^{5} - 28 q^{6} - 10 q^{7} - 28 q^{9}+O(q^{10}) \) 672 * q - 36 * q^2 - 24 * q^3 - 14 * q^4 - 42 * q^5 - 28 * q^6 - 10 * q^7 - 28 * q^9	\( 672 q - 36 q^{2} - 24 q^{3} - 14 q^{4} - 42 q^{5} - 28 q^{6} - 10 q^{7} - 28 q^{9} - 56 q^{10} - 48 q^{11} - 10 q^{12} - 14 q^{13} - 24 q^{14} - 20 q^{15} - 54 q^{16} - 50 q^{18} - 48 q^{19} - 30 q^{20} - 80 q^{21} - 14 q^{22} - 30 q^{23} - 16 q^{24} + 30 q^{25} + 36 q^{27} - 168 q^{30} - 12 q^{31} + 24 q^{32} - 70 q^{33} - 14 q^{34} + 128 q^{36} - 48 q^{37} - 42 q^{38} - 44 q^{39} - 2 q^{40} - 24 q^{41} - 28 q^{42} - 12 q^{43} + 24 q^{45} - 64 q^{46} - 42 q^{47} - 28 q^{48} + 22 q^{49} - 66 q^{50} - 28 q^{51} + 22 q^{52} - 36 q^{54} + 76 q^{55} - 42 q^{56} - 42 q^{58} - 132 q^{59} - 20 q^{60} - 28 q^{63} - 308 q^{64} - 66 q^{65} - 46 q^{66} - 14 q^{67} + 60 q^{68} - 64 q^{69} - 14 q^{70} + 56 q^{72} - 48 q^{73} + 66 q^{74} + 24 q^{75} - 28 q^{76} + 30 q^{77} + 72 q^{78} - 12 q^{79} + 140 q^{81} - 136 q^{82} + 246 q^{83} + 238 q^{84} + 34 q^{85} + 118 q^{87} + 8 q^{88} - 48 q^{90} - 56 q^{91} + 462 q^{92} + 28 q^{93} + 26 q^{94} - 246 q^{95} + 126 q^{96} - 36 q^{97} - 16 q^{99}+O(q^{100}) \) 672 * q - 36 * q^2 - 24 * q^3 - 14 * q^4 - 42 * q^5 - 28 * q^6 - 10 * q^7 - 28 * q^9 - 56 * q^10 - 48 * q^11 - 10 * q^12 - 14 * q^13 - 24 * q^14 - 20 * q^15 - 54 * q^16 - 50 * q^18 - 48 * q^19 - 30 * q^20 - 80 * q^21 - 14 * q^22 - 30 * q^23 - 16 * q^24 + 30 * q^25 + 36 * q^27 - 168 * q^30 - 12 * q^31 + 24 * q^32 - 70 * q^33 - 14 * q^34 + 128 * q^36 - 48 * q^37 - 42 * q^38 - 44 * q^39 - 2 * q^40 - 24 * q^41 - 28 * q^42 - 12 * q^43 + 24 * q^45 - 64 * q^46 - 42 * q^47 - 28 * q^48 + 22 * q^49 - 66 * q^50 - 28 * q^51 + 22 * q^52 - 36 * q^54 + 76 * q^55 - 42 * q^56 - 42 * q^58 - 132 * q^59 - 20 * q^60 - 28 * q^63 - 308 * q^64 - 66 * q^65 - 46 * q^66 - 14 * q^67 + 60 * q^68 - 64 * q^69 - 14 * q^70 + 56 * q^72 - 48 * q^73 + 66 * q^74 + 24 * q^75 - 28 * q^76 + 30 * q^77 + 72 * q^78 - 12 * q^79 + 140 * q^81 - 136 * q^82 + 246 * q^83 + 238 * q^84 + 34 * q^85 + 118 * q^87 + 8 * q^88 - 48 * q^90 - 56 * q^91 + 462 * q^92 + 28 * q^93 + 26 * q^94 - 246 * q^95 + 126 * q^96 - 36 * q^97 - 16 * q^99

Introduction

L-functions

Modular forms

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Database

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