LMFDB - Embedded newform 256.2.m.a.101.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [256,2,Mod(5,256)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(256, base_ring=CyclotomicField(64))

chi = DirichletCharacter(H, H._module([0, 1]))

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

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

chi := DirichletCharacter("256.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 256 = 2^{8} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	256.m (of order $64$, degree $32$, 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:	$2.04417029174$
Analytic rank:	$0$
Dimension:	$992$
Relative dimension:	$31$ over $\Q(\zeta_{64})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{64}]$

Embedding invariants

Embedding label			101.19
Character	$\chi$	$=$	256.101
Dual form			256.2.m.a.109.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.161436 - 1.40497i) q^{2} +(-1.65529 + 0.414628i) q^{3} +(-1.94788 - 0.453624i) q^{4} +(0.608632 + 0.287862i) q^{5} +(0.315317 + 2.39257i) q^{6} +(-1.02291 - 3.37208i) q^{7} +(-0.951784 + 2.66348i) q^{8} +(-0.0776998 + 0.0415314i) q^{9} +O(q^{10})$	\(q+(0.161436 - 1.40497i) q^{2} +(-1.65529 + 0.414628i) q^{3} +(-1.94788 - 0.453624i) q^{4} +(0.608632 + 0.287862i) q^{5} +(0.315317 + 2.39257i) q^{6} +(-1.02291 - 3.37208i) q^{7} +(-0.951784 + 2.66348i) q^{8} +(-0.0776998 + 0.0415314i) q^{9} +(0.502692 - 0.808639i) q^{10} +(-3.45190 + 0.512040i) q^{11} +(3.41238 - 0.0567662i) q^{12} +(-1.81445 + 5.07104i) q^{13} +(-4.90280 + 0.892782i) q^{14} +(-1.12682 - 0.224138i) q^{15} +(3.58845 + 1.76721i) q^{16} +(-2.95516 + 0.587819i) q^{17} +(0.0458069 + 0.115871i) q^{18} +(-1.32726 - 1.20295i) q^{19} +(-1.05496 - 0.836810i) q^{20} +(3.09137 + 5.15764i) q^{21} +(0.162142 + 4.93247i) q^{22} +(-0.382773 + 0.0376998i) q^{23} +(0.471125 - 4.80346i) q^{24} +(-2.88440 - 3.51465i) q^{25} +(6.83173 + 3.36789i) q^{26} +(3.90454 - 3.53886i) q^{27} +(0.462845 + 7.03241i) q^{28} +(0.228087 + 0.307540i) q^{29} +(-0.496816 + 1.54696i) q^{30} +(-2.67700 - 1.10885i) q^{31} +(3.06218 - 4.75637i) q^{32} +(5.50158 - 2.27883i) q^{33} +(0.348799 + 4.24681i) q^{34} +(0.348117 - 2.34681i) q^{35} +(0.170189 - 0.0456516i) q^{36} +(0.180868 - 3.68165i) q^{37} +(-1.90438 + 1.67055i) q^{38} +(0.900837 - 9.14635i) q^{39} +(-1.34600 + 1.34710i) q^{40} +(1.61571 - 1.96875i) q^{41} +(7.74538 - 3.51065i) q^{42} +(0.249702 - 0.996868i) q^{43} +(6.95614 + 0.568471i) q^{44} +(-0.0592459 + 0.00291057i) q^{45} +(-0.00882603 + 0.543870i) q^{46} +(-5.05559 - 3.37804i) q^{47} +(-6.67266 - 1.43737i) q^{48} +(-4.50429 + 3.00967i) q^{49} +(-5.40362 + 3.48510i) q^{50} +(4.64792 - 2.19830i) q^{51} +(5.83466 - 9.05468i) q^{52} +(6.43951 - 8.68268i) q^{53} +(-4.34166 - 6.05705i) q^{54} +(-2.24833 - 0.682024i) q^{55} +(9.95504 + 0.484998i) q^{56} +(2.69577 + 1.44092i) q^{57} +(0.468906 - 0.270808i) q^{58} +(3.30544 + 9.23810i) q^{59} +(2.09323 + 0.947745i) q^{60} +(-6.16047 + 10.2781i) q^{61} +(-1.99006 + 3.58210i) q^{62} +(0.219527 + 0.219527i) q^{63} +(-6.18821 - 5.07011i) q^{64} +(-2.56409 + 2.56409i) q^{65} +(-2.31353 - 8.09743i) q^{66} +(-9.37894 - 5.62152i) q^{67} +(6.02295 + 0.195535i) q^{68} +(0.617968 - 0.221112i) q^{69} +(-3.24100 - 0.867953i) q^{70} +(-5.74197 + 10.7425i) q^{71} +(-0.0366645 - 0.246481i) q^{72} +(4.38930 - 14.4696i) q^{73} +(-5.14340 - 0.848462i) q^{74} +(6.23178 + 4.62180i) q^{75} +(2.03964 + 2.94528i) q^{76} +(5.25761 + 11.1163i) q^{77} +(-12.7049 - 2.74219i) q^{78} +(-6.22944 - 9.32301i) q^{79} +(1.67534 + 2.10856i) q^{80} +(-4.84898 + 7.25701i) q^{81} +(-2.50519 - 2.58785i) q^{82} +(0.681384 + 13.8699i) q^{83} +(-3.68198 - 11.4488i) q^{84} +(-1.96782 - 0.492913i) q^{85} +(-1.36026 - 0.511754i) q^{86} +(-0.505065 - 0.414496i) q^{87} +(1.92165 - 9.68139i) q^{88} +(9.89344 + 0.974418i) q^{89} +(-0.00547515 + 0.0837086i) q^{90} +(18.9559 + 0.931246i) q^{91} +(0.762696 + 0.100200i) q^{92} +(4.89097 + 0.725507i) q^{93} +(-5.56219 + 6.55761i) q^{94} +(-0.461526 - 1.11422i) q^{95} +(-3.09666 + 9.14283i) q^{96} +(6.70796 - 16.1944i) q^{97} +(3.50134 + 6.81425i) q^{98} +(0.246946 - 0.183148i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) $ 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/256\mathbb{Z}\right)^\times$.

$n$	$5$	$255$
$\chi(n)$	$e\left(\frac{9}{64}\right)$	$1$

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 $

$2$	0.161436	−	1.40497i	0.114152	−	0.993463i
$2$	0.161436	−	1.40497i	0.114152	−	0.993463i
$3$	−1.65529	+	0.414628i	−0.955681	+	0.239386i	−0.689295	−	0.724481i	$-0.742080\pi$
$3$	−1.65529	+	0.414628i	−0.955681	+	0.239386i	−0.266386	+	0.963866i	$0.585830\pi$
$4$	−1.94788	−	0.453624i	−0.973939	−	0.226812i
$5$	0.608632	+	0.287862i	0.272189	+	0.128736i	0.558776	−	0.829318i	$-0.311271\pi$
$5$	0.608632	+	0.287862i	0.272189	+	0.128736i	−0.286588	+	0.958054i	$0.592521\pi$
$6$	0.315317	+	2.39257i	0.128728	+	0.976761i
$7$	−1.02291	−	3.37208i	−0.386623	−	1.27453i	−0.907196	−	0.420709i	$-0.861781\pi$
$7$	−1.02291	−	3.37208i	−0.386623	−	1.27453i	0.520573	−	0.853817i	$-0.325719\pi$
$8$	−0.951784	+	2.66348i	−0.336507	+	0.941681i
$9$	−0.0776998	+	0.0415314i	−0.0258999	+	0.0138438i
$10$	0.502692	−	0.808639i	0.158965	−	0.255714i
$11$	−3.45190	+	0.512040i	−1.04079	+	0.154386i	−0.645177	−	0.764033i	$-0.723216\pi$
$11$	−3.45190	+	0.512040i	−1.04079	+	0.154386i	−0.395609	+	0.918419i	$0.629466\pi$
$12$	3.41238	−	0.0567662i	0.985070	−	0.0163870i
$13$	−1.81445	+	5.07104i	−0.503237	+	1.40645i	0.374463	+	0.927242i	$0.377827\pi$
$13$	−1.81445	+	5.07104i	−0.503237	+	1.40645i	−0.877700	+	0.479211i	$0.840923\pi$
$14$	−4.90280	+	0.892782i	−1.31033	+	0.238606i
$15$	−1.12682	−	0.224138i	−0.290943	−	0.0578722i
$16$	3.58845	+	1.76721i	0.897113	+	0.441802i
$17$	−2.95516	+	0.587819i	−0.716733	+	0.142567i	−0.539967	−	0.841686i	$-0.681563\pi$
$17$	−2.95516	+	0.587819i	−0.716733	+	0.142567i	−0.176765	+	0.984253i	$0.556563\pi$
$18$	0.0458069	+	0.115871i	0.0107968	+	0.0273109i
$19$	−1.32726	−	1.20295i	−0.304493	−	0.275977i	0.504983	−	0.863129i	$-0.331499\pi$
$19$	−1.32726	−	1.20295i	−0.304493	−	0.275977i	−0.809476	+	0.587153i	$0.800249\pi$
$20$	−1.05496	−	0.836810i	−0.235896	−	0.187116i
$21$	3.09137	+	5.15764i	0.674592	+	1.12549i
$22$	0.162142	+	4.93247i	0.0345688	+	1.05161i
$23$	−0.382773	+	0.0376998i	−0.0798136	+	0.00786095i	−0.137845	−	0.990454i	$-0.544018\pi$
$23$	−0.382773	+	0.0376998i	−0.0798136	+	0.00786095i	0.0580315	+	0.998315i	$0.481518\pi$
$24$	0.471125	−	4.80346i	0.0961681	−	0.980502i
$25$	−2.88440	−	3.51465i	−0.576879	−	0.702930i
$26$	6.83173	+	3.36789i	1.33981	+	0.660497i
$27$	3.90454	−	3.53886i	0.751428	−	0.681055i
$28$	0.462845	+	7.03241i	0.0874695	+	1.32900i
$29$	0.228087	+	0.307540i	0.0423548	+	0.0571088i	0.823877	−	0.566768i	$-0.191807\pi$
$29$	0.228087	+	0.307540i	0.0423548	+	0.0571088i	−0.781522	+	0.623877i	$0.785557\pi$
$30$	−0.496816	+	1.54696i	−0.0907057	+	0.282435i
$31$	−2.67700	−	1.10885i	−0.480803	−	0.199155i	0.129099	−	0.991632i	$-0.458791\pi$
$31$	−2.67700	−	1.10885i	−0.480803	−	0.199155i	−0.609903	+	0.792476i	$0.708791\pi$
$32$	3.06218	−	4.75637i	0.541321	−	0.840816i
$33$	5.50158	−	2.27883i	0.957702	−	0.396693i
$34$	0.348799	+	4.24681i	0.0598185	+	0.728322i
$35$	0.348117	−	2.34681i	0.0588425	−	0.396684i
$36$	0.170189	−	0.0456516i	0.0283649	−	0.00760860i
$37$	0.180868	−	3.68165i	0.0297345	−	0.605259i	−0.936977	−	0.349391i	$-0.886389\pi$
$37$	0.180868	−	3.68165i	0.0297345	−	0.605259i	0.966712	−	0.255868i	$-0.0823613\pi$
$38$	−1.90438	+	1.67055i	−0.308931	+	0.270999i
$39$	0.900837	−	9.14635i	0.144249	−	1.46459i
$40$	−1.34600	+	1.34710i	−0.212821	+	0.212995i
$41$	1.61571	−	1.96875i	0.252331	−	0.307466i	−0.631404	−	0.775454i	$-0.717521\pi$
$41$	1.61571	−	1.96875i	0.252331	−	0.307466i	0.883735	+	0.467988i	$0.155021\pi$
$42$	7.74538	−	3.51065i	1.19514	−	0.541705i
$43$	0.249702	−	0.996868i	0.0380793	−	0.152021i	−0.948009	−	0.318244i	$-0.896907\pi$
$43$	0.249702	−	0.996868i	0.0380793	−	0.152021i	0.986088	+	0.166223i	$0.0531570\pi$
$44$	6.95614	+	0.568471i	1.04868	+	0.0857002i
$45$	−0.0592459	+	0.00291057i	−0.00883186	+	0.000433882i
$46$	−0.00882603	+	0.543870i	−0.00130133	+	0.0801892i
$47$	−5.05559	−	3.37804i	−0.737433	−	0.492737i	0.129240	−	0.991613i	$-0.458746\pi$
$47$	−5.05559	−	3.37804i	−0.737433	−	0.492737i	−0.866673	+	0.498876i	$0.833746\pi$
$48$	−6.67266	−	1.43737i	−0.963115	−	0.207466i
$49$	−4.50429	+	3.00967i	−0.643470	+	0.429953i
$50$	−5.40362	+	3.48510i	−0.764187	+	0.492868i
$51$	4.64792	−	2.19830i	0.650840	−	0.307824i
$52$	5.83466	−	9.05468i	0.809122	−	1.25566i
$53$	6.43951	−	8.68268i	0.884535	−	1.19266i	−0.0958163	−	0.995399i	$-0.530546\pi$
$53$	6.43951	−	8.68268i	0.884535	−	1.19266i	0.980351	−	0.197259i	$-0.0632039\pi$
$54$	−4.34166	−	6.05705i	−0.590826	−	0.824260i
$55$	−2.24833	−	0.682024i	−0.303165	−	0.0919641i
$56$	9.95504	+	0.484998i	1.33030	+	0.0648106i
$57$	2.69577	+	1.44092i	0.357063	+	0.190854i
$58$	0.468906	−	0.270808i	0.0615704	−	0.0355588i
$59$	3.30544	+	9.23810i	0.430332	+	1.20270i	0.939655	+	0.342122i	$0.111146\pi$
$59$	3.30544	+	9.23810i	0.430332	+	1.20270i	−0.509323	+	0.860575i	$0.670104\pi$
$60$	2.09323	+	0.947745i	0.270235	+	0.122353i
$61$	−6.16047	+	10.2781i	−0.788768	+	1.31598i	0.155841	+	0.987782i	$0.450191\pi$
$61$	−6.16047	+	10.2781i	−0.788768	+	1.31598i	−0.944609	+	0.328198i	$0.893559\pi$
$62$	−1.99006	+	3.58210i	−0.252738	+	0.454927i
$63$	0.219527	+	0.219527i	0.0276578	+	0.0276578i
$64$	−6.18821	−	5.07011i	−0.773527	−	0.633764i
$65$	−2.56409	+	2.56409i	−0.318036	+	0.318036i
$66$	−2.31353	−	8.09743i	−0.284776	−	0.996725i
$67$	−9.37894	−	5.62152i	−1.14582	−	0.686778i	−0.190306	−	0.981725i	$-0.560948\pi$
$67$	−9.37894	−	5.62152i	−1.14582	−	0.686778i	−0.955514	+	0.294947i	$0.904698\pi$
$68$	6.02295	+	0.195535i	0.730390	+	0.0237121i
$69$	0.617968	−	0.221112i	0.0743946	−	0.0266188i
$70$	−3.24100	−	0.867953i	−0.387374	−	0.103740i
$71$	−5.74197	+	10.7425i	−0.681446	+	1.27490i	0.268740	+	0.963213i	$0.413393\pi$
$71$	−5.74197	+	10.7425i	−0.681446	+	1.27490i	−0.950186	+	0.311683i	$0.899107\pi$
$72$	−0.0366645	−	0.246481i	−0.00432095	−	0.0290480i
$73$	4.38930	−	14.4696i	0.513729	−	1.69354i	−0.188914	−	0.981994i	$-0.560497\pi$
$73$	4.38930	−	14.4696i	0.513729	−	1.69354i	0.702643	−	0.711543i	$-0.252003\pi$
$74$	−5.14340	−	0.848462i	−0.597908	−	0.0986317i
$75$	6.23178	+	4.62180i	0.719584	+	0.533680i
$76$	2.03964	+	2.94528i	0.233963	+	0.337847i
$77$	5.25761	+	11.1163i	0.599161	+	1.26682i
$78$	−12.7049	−	2.74219i	−1.43855	−	0.310492i
$79$	−6.22944	−	9.32301i	−0.700866	−	1.04892i	−0.995633	−	0.0933513i	$-0.970242\pi$
$79$	−6.22944	−	9.32301i	−0.700866	−	1.04892i	0.294767	−	0.955569i	$-0.404758\pi$
$80$	1.67534	+	2.10856i	0.187308	+	0.235744i
$81$	−4.84898	+	7.25701i	−0.538775	+	0.806334i
$82$	−2.50519	−	2.58785i	−0.276652	−	0.285780i
$83$	0.681384	+	13.8699i	0.0747917	+	1.52242i	0.684043	+	0.729442i	$0.260220\pi$
$83$	0.681384	+	13.8699i	0.0747917	+	1.52242i	−0.609251	+	0.792977i	$0.708530\pi$
$84$	−3.68198	−	11.4488i	−0.401737	−	1.24916i
$85$	−1.96782	−	0.492913i	−0.213440	−	0.0534639i
$86$	−1.36026	−	0.511754i	−0.146680	−	0.0551839i
$87$	−0.505065	−	0.414496i	−0.0541487	−	0.0444387i
$88$	1.92165	−	9.68139i	0.204849	−	1.03204i
$89$	9.89344	+	0.974418i	1.04870	+	0.103288i	0.607659	−	0.794198i	$-0.292109\pi$
$89$	9.89344	+	0.974418i	1.04870	+	0.103288i	0.441043	+	0.897486i	$0.354609\pi$
$90$	−0.00547515	+	0.0837086i	−0.000577131	+	0.00882366i
$91$	18.9559	+	0.931246i	1.98712	+	0.0976211i
$92$	0.762696	+	0.100200i	0.0795165	+	0.0104466i
$93$	4.89097	+	0.725507i	0.507170	+	0.0752315i
$94$	−5.56219	+	6.55761i	−0.573696	+	0.676366i
$95$	−0.461526	−	1.11422i	−0.0473516	−	0.114317i
$96$	−3.09666	+	9.14283i	−0.316051	+	0.933137i
$97$	6.70796	−	16.1944i	0.681090	−	1.64430i	−0.0809118	−	0.996721i	$-0.525783\pi$
$97$	6.70796	−	16.1944i	0.681090	−	1.64430i	0.762002	−	0.647575i	$-0.224217\pi$
$98$	3.50134	+	6.81425i	0.353689	+	0.688344i
$99$	0.246946	−	0.183148i	0.0248190	−	0.0184070i
$100$	4.02412	+	8.15453i	0.402412	+	0.815453i
$101$	1.87539	+	2.06917i	0.186608	+	0.205890i	0.827069	−	0.562101i	$-0.190007\pi$
$101$	1.87539	+	2.06917i	0.186608	+	0.205890i	−0.640461	+	0.767991i	$0.721257\pi$
$102$	−2.33821	−	6.88508i	−0.231517	−	0.681724i
$103$	−3.31465	+	2.72026i	−0.326602	+	0.268036i	−0.783377	−	0.621547i	$-0.786505\pi$
$103$	−3.31465	+	2.72026i	−0.326602	+	0.268036i	0.456775	+	0.889582i	$0.349005\pi$
$104$	−11.7796	−	9.65927i	−1.15509	−	0.947169i
$105$	0.396821	+	4.02899i	0.0387258	+	0.393189i
$106$	−11.1593	−	10.4490i	−1.08389	−	1.01490i
$107$	6.75909	−	4.05125i	0.653426	−	0.391649i	−0.148634	−	0.988892i	$-0.547487\pi$
$107$	6.75909	−	4.05125i	0.653426	−	0.391649i	0.802060	+	0.597244i	$0.203737\pi$
$108$	−9.21087	+	5.12208i	−0.886316	+	0.492873i
$109$	−8.78197	+	9.68941i	−0.841160	+	0.928077i	−0.998228	−	0.0595106i	$-0.981046\pi$
$109$	−8.78197	+	9.68941i	−0.841160	+	0.928077i	0.157067	+	0.987588i	$0.449796\pi$
$110$	−1.32118	+	3.04873i	−0.125970	+	0.290685i
$111$	1.22713	+	6.16918i	0.116474	+	0.585553i
$112$	2.28851	−	13.9082i	0.216243	−	1.31420i
$113$	−0.331058	+	1.66434i	−0.0311434	+	0.156568i	−0.993228	−	0.116184i	$-0.962934\pi$
$113$	−0.331058	+	1.66434i	−0.0311434	+	0.156568i	0.962084	+	0.272752i	$0.0879338\pi$
$114$	2.45964	−	3.55486i	0.230366	−	0.332943i
$115$	−0.243820	−	0.0872403i	−0.0227363	−	0.00813520i
$116$	−0.304778	−	0.702516i	−0.0282980	−	0.0652270i
$117$	−0.0696252	−	0.469375i	−0.00643685	−	0.0433937i
$118$	13.5129	−	3.15269i	1.24396	−	0.290229i
$119$	5.00504	+	9.36376i	0.458811	+	0.858375i
$120$	1.66947	−	2.78792i	0.152401	−	0.254501i
$121$	1.12705	−	0.341887i	0.102459	−	0.0310806i
$122$	13.4459	+	10.3145i	1.21734	+	0.933834i
$123$	−1.85817	+	3.92876i	−0.167545	+	0.354244i
$124$	4.71147	+	3.37425i	0.423102	+	0.303017i
$125$	−1.56177	−	6.23492i	−0.139689	−	0.557668i
$126$	0.343868	−	0.272989i	0.0306342	−	0.0243198i
$127$			15.7046i			1.39356i	0.717286	+	0.696779i	$0.245384\pi$
$127$			15.7046i			1.39356i	−0.717286	+	0.696779i	$0.754616\pi$
$128$	−8.12235	+	7.87575i	−0.717921	+	0.696125i
$129$			1.75364i			0.154399i
$130$	3.18853	+	4.01640i	0.279653	+	0.352262i
$131$	−2.16978	−	8.66223i	−0.189574	−	0.756823i	−0.987964	−	0.154682i	$-0.950565\pi$
$131$	−2.16978	−	8.66223i	−0.189574	−	0.756823i	0.798390	−	0.602141i	$-0.205685\pi$
$132$	−11.7501	+	1.94323i	−1.02272	+	0.169136i
$133$	−2.69879	+	5.70612i	−0.234015	+	0.494783i
$134$	−9.41216	+	12.2696i	−0.813087	+	1.05993i
$135$	3.39513	−	1.02990i	0.292206	−	0.0886398i
$136$	1.24704	−	8.43049i	0.106933	−	0.722908i
$137$	7.25047	+	13.5647i	0.619450	+	1.15891i	0.974569	+	0.224088i	$0.0719402\pi$
$137$	7.25047	+	13.5647i	0.619450	+	1.15891i	−0.355119	+	0.934821i	$0.615560\pi$
$138$	−0.210894	−	0.903921i	−0.0179525	−	0.0769469i
$139$	0.892450	+	6.01641i	0.0756966	+	0.510305i	0.993551	+	0.113387i	$0.0361701\pi$
$139$	0.892450	+	6.01641i	0.0756966	+	0.510305i	−0.917854	+	0.396918i	$0.870080\pi$
$140$	−1.74266	+	4.41339i	−0.147282	+	0.373000i
$141$	9.76909	+	3.49544i	0.822706	+	0.294369i
$142$	14.1659	+	9.80150i	1.18877	+	0.822524i
$143$	3.66670	−	18.4338i	0.306625	−	1.54151i
$144$	−0.352217	+	0.0117217i	−0.0293514	+	0.000976812i
$145$	0.0502923	+	0.252837i	0.00417655	+	0.0209969i
$146$	−19.6207	−	8.50274i	−1.62382	−	0.703691i
$147$	6.20800	−	6.84948i	0.512027	−	0.564935i
$148$	−2.02239	+	7.08935i	−0.166239	+	0.582741i
$149$	−19.6506	+	11.7781i	−1.60984	+	0.964902i	−0.627317	+	0.778764i	$0.715847\pi$
$149$	−19.6506	+	11.7781i	−1.60984	+	0.964902i	−0.982524	+	0.186138i	$0.940403\pi$
$150$	7.49952	−	8.00934i	0.612334	−	0.653960i
$151$	−0.514059	−	5.21933i	−0.0418336	−	0.424743i	−0.993178	−	0.116612i	$-0.962796\pi$
$151$	−0.514059	−	5.21933i	−0.0418336	−	0.424743i	0.951344	−	0.308131i	$-0.0997035\pi$
$152$	4.46730	−	2.39016i	0.362346	−	0.193868i
$153$	0.205203	−	0.168406i	0.0165897	−	0.0136148i
$154$	16.4668	−	5.59222i	1.32693	−	0.450634i
$155$	−1.31011	−	1.44549i	−0.105231	−	0.116104i
$156$	−5.90372	+	17.4073i	−0.472676	+	1.39370i
$157$	−1.26448	+	0.937799i	−0.100916	+	0.0748445i	−0.644981	−	0.764199i	$-0.723135\pi$
$157$	−1.26448	+	0.937799i	−0.100916	+	0.0748445i	0.544065	+	0.839043i	$0.316885\pi$
$158$	−14.1042	+	7.24710i	−1.12207	+	0.576548i
$159$	−7.05917	+	17.0423i	−0.559829	+	1.35155i
$160$	3.23292	−	2.01340i	0.255585	−	0.159173i
$161$	0.518668	+	1.25218i	0.0408768	+	0.0986853i
$162$	9.41308	+	7.98420i	0.739561	+	0.627298i
$163$	−10.3677	−	1.53790i	−0.812062	−	0.120458i	−0.272231	−	0.962232i	$-0.587762\pi$
$163$	−10.3677	−	1.53790i	−0.812062	−	0.120458i	−0.539830	+	0.841774i	$0.681512\pi$
$164$	−4.04027	+	3.10195i	−0.315492	+	0.242222i
$165$	4.00443	+	0.196725i	0.311744	+	0.0153150i
$166$	19.5968	+	1.28177i	1.52101	+	0.0994847i
$167$	1.13090	+	0.111384i	0.0875118	+	0.00861916i	0.141678	−	0.989913i	$-0.454750\pi$
$167$	1.13090	+	0.111384i	0.0875118	+	0.00861916i	−0.0541664	+	0.998532i	$0.517250\pi$
$168$	−16.6796	+	3.32483i	−1.28686	+	0.256516i
$169$	−12.3741	−	10.1551i	−0.951851	−	0.781164i
$170$	−1.01020	+	2.68515i	−0.0774791	+	0.205942i
$171$	0.153088	+	0.0383465i	0.0117069	+	0.00293243i
$172$	−0.938593	+	1.82850i	−0.0715670	+	0.139422i
$173$	0.0654242	+	1.33174i	0.00497411	+	0.101250i	0.999999	+	0.00162059i	$0.000515849\pi$
$173$	0.0654242	+	1.33174i	0.00497411	+	0.101250i	−0.995025	+	0.0996298i	$0.968234\pi$
$174$	−0.663890	+	0.642687i	−0.0503294	+	0.0487219i
$175$	−8.90120	+	13.3216i	−0.672867	+	1.00702i
$176$	−13.2918	−	4.26278i	−1.00191	−	0.321319i
$177$	−9.30184	−	13.9212i	−0.699169	−	1.04638i
$178$	2.96618	−	13.7427i	0.222325	−	1.03006i
$179$	−8.93683	−	18.8953i	−0.667970	−	1.41230i	−0.898384	−	0.439211i	$-0.855258\pi$
$179$	−8.93683	−	18.8953i	−0.667970	−	1.41230i	0.230414	−	0.973093i	$-0.425992\pi$
$180$	0.116724	+	0.0212060i	0.00870010	+	0.00158060i
$181$	−18.9087	−	14.0237i	−1.40547	−	1.04237i	−0.991222	−	0.132210i	$-0.957793\pi$
$181$	−18.9087	−	14.0237i	−1.40547	−	1.04237i	−0.414253	−	0.910162i	$-0.635957\pi$
$182$	4.36854	−	26.4822i	0.323817	−	1.96299i
$183$	5.93576	−	19.5676i	0.438784	−	1.44648i
$184$	0.263904	−	1.05539i	0.0194553	−	0.0778042i
$185$	1.16989	−	2.18870i	0.0860118	−	0.160917i
$186$	1.80889	−	6.75454i	0.132634	−	0.495267i
$187$	9.89993	−	3.54225i	0.723955	−	0.259035i
$188$	8.31531	+	8.87334i	0.606456	+	0.647155i
$189$	−15.9273	−	9.54647i	−1.15854	−	0.694403i
$190$	−1.63996	+	0.468555i	−0.118975	+	0.0339925i
$191$	−12.3243	+	12.3243i	−0.891756	+	0.891756i	−0.994688	−	0.102933i	$-0.967177\pi$
$191$	−12.3243	+	12.3243i	−0.891756	+	0.891756i	0.102933	+	0.994688i	$0.467177\pi$
$192$	12.3455	+	5.82669i	0.890959	+	0.420505i
$193$	−9.46051	−	9.46051i	−0.680982	−	0.680982i	0.279239	−	0.960222i	$-0.409918\pi$
$193$	−9.46051	−	9.46051i	−0.680982	−	0.680982i	−0.960222	+	0.279239i	$0.909918\pi$
$194$	−21.6698	−	12.0388i	−1.55580	−	0.864338i
$195$	3.18116	−	5.30745i	0.227808	−	0.380074i
$196$	10.1391	−	3.81921i	0.724218	−	0.272801i
$197$	1.67081	+	4.66959i	0.119040	+	0.332695i	0.986253	−	0.165243i	$-0.0528408\pi$
$197$	1.67081	+	4.66959i	0.119040	+	0.332695i	−0.867213	+	0.497938i	$0.834091\pi$
$198$	−0.217451	−	0.376518i	−0.0154536	−	0.0267580i
$199$	19.8404	+	10.6049i	1.40645	+	0.751761i	0.987703	−	0.156344i	$-0.0499707\pi$
$199$	19.8404	+	10.6049i	1.40645	+	0.751761i	0.418743	+	0.908105i	$0.362471\pi$
$200$	12.1065	−	4.33734i	0.856059	−	0.306696i
$201$	17.8557	+	5.41647i	1.25944	+	0.382048i
$202$	3.20987	−	2.30082i	0.225846	−	0.161885i
$203$	0.803737	−	1.08371i	0.0564113	−	0.0760618i
$204$	−10.0508	+	2.17362i	−0.703696	+	0.152184i
$205$	1.55010	−	0.733142i	0.108264	−	0.0512049i
$206$	3.28678	+	5.09613i	0.229001	+	0.355064i
$207$	0.0281756	−	0.0188264i	0.00195834	−	0.00130852i
$208$	−15.4726	+	14.9907i	−1.07283	+	1.03942i
$209$	5.19751	+	3.47286i	0.359519	+	0.240223i
$210$	5.72467	+	0.0929012i	0.395040	+	0.00641079i
$211$	9.90247	−	0.486477i	0.681714	−	0.0334905i	0.294735	−	0.955579i	$-0.404769\pi$
$211$	9.90247	−	0.486477i	0.681714	−	0.0334905i	0.386979	+	0.922089i	$0.373519\pi$
$212$	−16.4821	+	13.9917i	−1.13199	+	0.960952i
$213$	5.05048	−	20.1627i	0.346053	−	1.38152i
$214$	−4.60072	−	10.1503i	−0.314499	−	0.693863i
$215$	0.438937	−	0.534846i	0.0299353	−	0.0364762i
$216$	5.70941	+	13.7679i	0.388476	+	0.936785i
$217$	−1.00080	+	10.1613i	−0.0679388	+	0.689795i
$218$	12.1956	+	13.9026i	0.825990	+	0.941604i
$219$	−1.26606	+	25.7713i	−0.0855525	+	1.74146i
$220$	4.07009	+	2.34840i	0.274406	+	0.158329i
$221$	2.38114	−	16.0523i	0.160173	−	1.07980i
$222$	8.86561	−	0.728149i	0.595021	−	0.0488702i
$223$	−10.8875	+	4.50977i	−0.729084	+	0.301996i	−0.716175	−	0.697920i	$-0.754109\pi$
$223$	−10.8875	+	4.50977i	−0.729084	+	0.301996i	−0.0129084	+	0.999917i	$0.504109\pi$
$224$	−19.1712	−	5.46056i	−1.28093	−	0.364849i
$225$	0.370086	+	0.153294i	0.0246724	+	0.0102196i
$226$	2.28491	+	0.733811i	0.151990	+	0.0488124i
$227$	7.84130	+	10.5728i	0.520445	+	0.701739i	0.982741	−	0.184986i	$-0.0592241\pi$
$227$	7.84130	+	10.5728i	0.520445	+	0.701739i	−0.462296	+	0.886726i	$0.652974\pi$
$228$	−4.59739	−	4.02960i	−0.304470	−	0.266867i
$229$	4.29877	−	3.89618i	0.284071	−	0.257467i	−0.517070	−	0.855943i	$-0.672977\pi$
$229$	4.29877	−	3.89618i	0.284071	−	0.257467i	0.801140	+	0.598477i	$0.204227\pi$
$230$	−0.161931	+	0.328476i	−0.0106774	+	0.0216591i
$231$	−13.3120	−	16.2207i	−0.875865	−	1.06724i
$232$	−1.03622	+	0.314793i	−0.0680309	+	0.0206672i
$233$	24.5458	−	2.41755i	1.60805	−	0.158379i	0.746262	−	0.665653i	$-0.231847\pi$
$233$	24.5458	−	2.41755i	1.60805	−	0.158379i	0.861785	+	0.507274i	$0.169347\pi$
$234$	−0.670698	+	0.0220475i	−0.0438449	+	0.00144129i
$235$	−2.10459	−	3.51129i	−0.137288	−	0.229052i
$236$	−2.24798	−	19.4941i	−0.146331	−	1.26896i
$237$	14.1771	+	12.8494i	0.920901	+	0.834656i
$238$	13.9638	−	5.52028i	0.905138	−	0.357826i
$239$	13.4451	−	2.67439i	0.869689	−	0.172992i	0.259977	−	0.965615i	$-0.416285\pi$
$239$	13.4451	−	2.67439i	0.869689	−	0.172992i	0.609712	+	0.792623i	$0.291285\pi$
$240$	−3.64743	−	2.79563i	−0.235441	−	0.180457i
$241$	−3.49489	−	0.695178i	−0.225126	−	0.0447803i	0.0812382	−	0.996695i	$-0.474113\pi$
$241$	−3.49489	−	0.695178i	−0.225126	−	0.0447803i	−0.306364	+	0.951914i	$0.599113\pi$
$242$	−0.298395	−	1.63866i	−0.0191815	−	0.105337i
$243$	−0.308353	+	0.861789i	−0.0197809	+	0.0552838i
$244$	16.6623	−	17.2260i	1.06669	−	1.10278i
$245$	−3.60782	+	0.535170i	−0.230495	+	0.0341908i
$246$	5.21981	+	3.24491i	0.332803	+	0.206888i
$247$	8.50845	−	4.54786i	0.541380	−	0.289374i
$248$	5.50132	−	6.07474i	0.349334	−	0.385746i
$249$	−6.87874	−	22.6762i	−0.435922	−	1.43704i
$250$	−9.01200	+	1.18770i	−0.569969	+	0.0751165i
$251$	−2.25141	−	1.06484i	−0.142108	−	0.0672120i	0.355178	−	0.934799i	$-0.384420\pi$
$251$	−2.25141	−	1.06484i	−0.142108	−	0.0672120i	−0.497286	+	0.867587i	$0.665670\pi$
$252$	−0.328029	−	0.527195i	−0.0206639	−	0.0332101i
$253$	1.30199	−	0.326131i	0.0818552	−	0.0205037i
$254$	22.0645	+	2.53528i	1.38445	+	0.159078i
$255$	3.46169			0.216779
$256$	9.75396	+	12.6831i	0.609622	+	0.792692i
$257$	−1.91096			−0.119202			−0.0596011	−	0.998222i	$-0.518983\pi$
$257$	−1.91096			−0.119202			−0.0596011	+	0.998222i	$0.518983\pi$
$258$	2.46381	+	0.283099i	0.153390	+	0.0176250i
$259$	−12.5998	+	3.15609i	−0.782914	+	0.196110i
$260$	6.15766	−	3.83140i	0.381882	−	0.237613i
$261$	−0.0304949	−	0.0144230i	−0.00188759	−	0.000892763i
$262$	−12.5204	+	1.65008i	−0.773516	+	0.101942i
$263$	−5.57952	−	18.3932i	−0.344048	−	1.13417i	−0.942833	−	0.333264i	$-0.891850\pi$
$263$	−5.57952	−	18.3932i	−0.344048	−	1.13417i	0.598786	−	0.800909i	$-0.295650\pi$
$264$	0.833289	+	16.8223i	0.0512854	+	1.03534i
$265$	6.41871	−	3.43087i	0.394298	−	0.210757i
$266$	7.58124	+	4.71289i	0.464836	+	0.288966i
$267$	−16.7805	+	2.48915i	−1.02695	+	0.152334i
$268$	15.7190	+	15.2045i	0.960189	+	0.928765i
$269$	2.23170	−	6.23719i	0.136069	−	0.380288i	−0.854110	−	0.520093i	$-0.825897\pi$
$269$	2.23170	−	6.23719i	0.136069	−	0.380288i	0.990179	+	0.139805i	$0.0446474\pi$
$270$	−0.898885	−	4.93632i	−0.0547044	−	0.300415i
$271$	18.5918	+	3.69814i	1.12937	+	0.224646i	0.724197	−	0.689593i	$-0.242211\pi$
$271$	18.5918	+	3.69814i	1.12937	+	0.224646i	0.405175	+	0.914239i	$0.367211\pi$
$272$	−11.6433	−	3.11303i	−0.705976	−	0.188755i
$273$	−31.7637	+	6.31819i	−1.92243	+	0.382394i
$274$	20.2284	−	7.99687i	1.22204	−	0.483108i
$275$	11.7563	+	10.6553i	0.708930	+	0.642537i
$276$	−1.30403	+	0.150375i	−0.0784932	+	0.00905150i
$277$	−6.98109	−	11.6472i	−0.419453	−	0.699815i	0.573385	−	0.819286i	$-0.305630\pi$
$277$	−6.98109	−	11.6472i	−0.419453	−	0.699815i	−0.992838	+	0.119471i	$0.961880\pi$
$278$	8.59694	−	0.282602i	0.515610	−	0.0169494i
$279$	0.254055	−	0.0250222i	0.0152098	−	0.00149804i
$280$	5.91935	+	3.16086i	0.353749	+	0.188898i
$281$	0.123907	+	0.150981i	0.00739169	+	0.00900680i	0.776693	−	0.629879i	$-0.216896\pi$
$281$	0.123907	+	0.150981i	0.00739169	+	0.00900680i	−0.769301	+	0.638886i	$0.779396\pi$
$282$	6.48806	−	13.1610i	0.386358	−	0.783725i
$283$	0.841771	−	0.762937i	0.0500381	−	0.0453519i	−0.646157	−	0.763205i	$-0.723625\pi$
$283$	0.841771	−	0.762937i	0.0500381	−	0.0453519i	0.696195	+	0.717853i	$0.254875\pi$
$284$	16.0577	−	18.3203i	0.952848	−	1.08711i
$285$	1.22595	+	1.65300i	0.0726188	+	0.0979152i
$286$	−25.3069	−	8.12747i	−1.49643	−	0.480587i
$287$	−8.29149	−	3.43445i	−0.489431	−	0.202729i
$288$	−0.0403916	+	0.496746i	−0.00238010	+	0.0292710i
$289$	−7.31848	+	3.03142i	−0.430499	+	0.178319i
$290$	0.363347	−	0.0298423i	0.0213364	−	0.00175240i
$291$	−4.38893	+	29.5878i	−0.257284	+	1.73447i
$292$	−15.1136	+	26.1939i	−0.884454	+	1.53288i
$293$	1.07105	−	21.8017i	0.0625713	−	1.27367i	−0.738153	−	0.674634i	$-0.764302\pi$
$293$	1.07105	−	21.8017i	0.0625713	−	1.27367i	0.800724	−	0.599034i	$-0.204448\pi$
$294$	−8.62111	−	9.82780i	−0.502793	−	0.573169i
$295$	−0.647494	+	6.57412i	−0.0376986	+	0.382760i
$296$	9.63383	+	3.98587i	0.559955	+	0.231674i
$297$	−11.6660	+	14.2151i	−0.676930	+	0.824842i
$298$	13.3756	+	29.5099i	0.774827	+	1.70946i
$299$	0.503343	−	2.00946i	0.0291091	−	0.116210i
$300$	−10.0422	−	11.8296i	−0.579786	−	0.682982i
$301$	−3.61694	+	0.177689i	−0.208477	+	0.0102418i
$302$	−7.41599	−	0.120348i	−0.426742	−	0.00692526i
$303$	−3.96224	−	2.64748i	−0.227625	−	0.152094i
$304$	−2.63692	−	6.66228i	−0.151238	−	0.382108i
$305$	−6.70815	+	4.48224i	−0.384107	+	0.256652i
$306$	−0.203478	−	0.315490i	−0.0116320	−	0.0180354i
$307$	28.8846	−	13.6614i	1.64853	−	0.779697i	0.648705	−	0.761040i	$-0.275311\pi$
$307$	28.8846	−	13.6614i	1.64853	−	0.779697i	0.999826	−	0.0186573i	$-0.00593914\pi$
$308$	−5.19857	−	24.0382i	−0.296216	−	1.36970i
$309$	4.35881	−	5.87717i	0.247964	−	0.334341i
$310$	−2.24237	+	1.60732i	−0.127358	+	0.0912894i
$311$	24.4925	+	7.42971i	1.38884	+	0.421300i	0.894149	−	0.447769i	$-0.147781\pi$
$311$	24.4925	+	7.42971i	1.38884	+	0.421300i	0.494691	+	0.869069i	$0.335281\pi$
$312$	23.5037	+	11.1047i	1.33063	+	0.628680i
$313$	−26.3195	−	14.0681i	−1.48767	−	0.795175i	−0.490577	−	0.871398i	$-0.663214\pi$
$313$	−26.3195	−	14.0681i	−1.48767	−	0.795175i	−0.997091	+	0.0762223i	$0.975714\pi$
$314$	1.11345	+	1.92794i	0.0628355	+	0.108800i
$315$	0.0704179	+	0.196805i	0.00396760	+	0.0110887i
$316$	7.90503	+	20.9859i	0.444693	+	1.18055i
$317$	−13.5148	+	22.5481i	−0.759068	+	1.26643i	0.199031	+	0.979993i	$0.436220\pi$
$317$	−13.5148	+	22.5481i	−0.759068	+	1.26643i	−0.958099	+	0.286436i	$0.907530\pi$
$318$	22.8044	+	12.6692i	1.27881	+	0.710451i
$319$	−0.944806	−	0.944806i	−0.0528990	−	0.0528990i
$320$	−2.30686	−	4.86718i	−0.128957	−	0.272084i
$321$	−9.50849	+	9.50849i	−0.530712	+	0.530712i
$322$	1.84300	−	0.526567i	0.102706	−	0.0293444i
$323$	4.62938	+	2.77474i	0.257585	+	0.154391i
$324$	12.7372	−	11.9361i	0.707620	−	0.663119i
$325$	23.0565	−	8.24974i	1.27894	−	0.457613i
$326$	−3.83442	+	14.3180i	−0.212369	+	0.793003i
$327$	10.5192	−	19.6800i	0.581713	−	1.08831i
$328$	3.70590	+	6.17722i	0.204624	+	0.341080i
$329$	−6.21960	+	20.5033i	−0.342898	+	1.13038i
$330$	0.922849	−	5.59434i	0.0508012	−	0.307958i
$331$	−23.0763	−	17.1145i	−1.26839	−	0.940700i	−0.268641	−	0.963240i	$-0.586574\pi$
$331$	−23.0763	−	17.1145i	−1.26839	−	0.940700i	−0.999746	+	0.0225408i	$0.992824\pi$
$332$	4.96447	−	27.3260i	0.272460	−	1.49971i
$333$	0.138851	+	0.293575i	0.00760897	+	0.0160878i
$334$	0.339059	−	1.57090i	0.0185525	−	0.0859559i
$335$	−4.09011	−	6.12128i	−0.223466	−	0.334441i
$336$	1.97861	+	23.9710i	0.107942	+	1.30773i
$337$	−0.849398	+	1.27121i	−0.0462697	+	0.0692474i	−0.853883	−	0.520465i	$-0.825759\pi$
$337$	−0.849398	+	1.27121i	−0.0462697	+	0.0692474i	0.807614	+	0.589712i	$0.200759\pi$
$338$	−16.2653	+	15.7458i	−0.884713	+	0.856457i
$339$	−0.142086	−	2.89223i	−0.00771707	−	0.157085i
$340$	3.60947	+	1.85278i	0.195751	+	0.100481i
$341$	9.80850	+	2.45690i	0.531160	+	0.133049i
$342$	0.0785895	−	0.208893i	0.00424963	−	0.0112957i
$343$	−4.31129	−	3.53819i	−0.232788	−	0.191044i
$344$	2.41747	+	1.61388i	0.130341	+	0.0870145i
$345$	0.439765	+	0.0433131i	0.0236762	+	0.00233190i
$346$	1.88162	+	0.123071i	0.101156	+	0.00661635i
$347$	−4.50488	−	0.221311i	−0.241835	−	0.0118806i	−0.0722106	−	0.997389i	$-0.523005\pi$
$347$	−4.50488	−	0.221311i	−0.241835	−	0.0118806i	−0.169624	+	0.985509i	$0.554255\pi$
$348$	0.795779	+	1.03650i	0.0426583	+	0.0555621i
$349$	6.23033	+	0.924182i	0.333502	+	0.0494703i	0.311381	−	0.950285i	$-0.399208\pi$
$349$	6.23033	+	0.924182i	0.333502	+	0.0494703i	0.0221203	+	0.999755i	$0.492958\pi$
$350$	17.2794	+	14.6565i	0.923625	+	0.783422i
$351$	10.8611	+	26.2211i	0.579725	+	1.39958i
$352$	−8.13485	+	17.9865i	−0.433589	+	0.958681i
$353$	11.2842	−	27.2426i	0.600600	−	1.44998i	−0.272365	−	0.962194i	$-0.587806\pi$
$353$	11.2842	−	27.2426i	0.600600	−	1.44998i	0.872965	−	0.487782i	$-0.162194\pi$
$354$	−21.0605	+	10.8214i	−1.11935	+	0.575152i
$355$	−6.58709	+	4.88532i	−0.349606	+	0.259286i
$356$	−18.8292	−	6.38595i	−0.997944	−	0.338455i
$357$	−12.1673	−	13.4245i	−0.643960	−	0.710500i
$358$	−27.9901	+	9.50559i	−1.47932	+	0.502386i
$359$	−9.53083	+	7.82175i	−0.503018	+	0.412816i	−0.851384	−	0.524542i	$-0.824236\pi$
$359$	−9.53083	+	7.82175i	−0.503018	+	0.412816i	0.348366	+	0.937358i	$0.386736\pi$
$360$	0.0486371	−	0.160570i	0.00256340	−	0.00846280i
$361$	−1.54782	−	15.7153i	−0.0814641	−	0.827119i
$362$	−22.7554	+	24.3023i	−1.19600	+	1.27730i
$363$	−1.72384	+	1.03323i	−0.0904780	+	0.0542304i
$364$	−36.5014	−	10.4128i	−1.91319	−	0.545780i
$365$	6.83671	−	7.54315i	0.357850	−	0.394826i
$366$	−26.5336	−	11.4985i	−1.38693	−	0.601034i
$367$	1.55582	+	7.82165i	0.0812133	+	0.408287i	0.999911	+	0.0133258i	$0.00424186\pi$
$367$	1.55582	+	7.82165i	0.0812133	+	0.408287i	−0.918698	+	0.394961i	$0.870758\pi$
$368$	−1.44018	−	0.541155i	−0.0750748	−	0.0282096i
$369$	−0.0437754	+	0.220074i	−0.00227886	+	0.0114566i
$370$	−2.88620	−	1.99699i	−0.150046	−	0.103819i
$371$	−35.8657	−	12.8330i	−1.86206	−	0.666254i
$372$	−9.19790	−	3.63186i	−0.476889	−	0.188303i
$373$	1.04097	+	7.01762i	0.0538992	+	0.363359i	0.999299	+	0.0374450i	$0.0119219\pi$
$373$	1.04097	+	7.01762i	0.0538992	+	0.363359i	−0.945400	+	0.325914i	$0.894328\pi$
$374$	−3.37855	−	14.4809i	−0.174701	−	0.748792i
$375$	5.17035	+	9.67304i	0.266996	+	0.499514i
$376$	13.8092	−	10.2503i	0.712153	−	0.528618i
$377$	−1.97340	+	0.598624i	−0.101635	+	0.0308307i
$378$	−15.9837	+	20.8362i	−0.822114	+	1.07170i
$379$	−11.2183	+	23.7191i	−0.576245	+	1.21837i	0.379779	+	0.925077i	$0.376000\pi$
$379$	−11.2183	+	23.7191i	−0.576245	+	1.21837i	−0.956024	+	0.293290i	$0.905250\pi$
$380$	0.393558	+	2.37973i	0.0201891	+	0.122077i
$381$	−6.51157	−	25.9956i	−0.333598	−	1.33180i
$382$	15.3257	+	19.3049i	0.784131	+	0.987722i
$383$			3.49893i			0.178787i	0.995996	+	0.0893934i	$0.0284929\pi$
$383$			3.49893i			0.178787i	−0.995996	+	0.0893934i	$0.971507\pi$
$384$	10.1793	−	16.4044i	0.519461	−	0.837133i
$385$			8.27920i			0.421947i
$386$	−14.8190	+	11.7645i	−0.754267	+	0.598795i
$387$	0.0219995	+	0.0878269i	0.00111830	+	0.00446449i
$388$	−20.4125	+	28.5019i	−1.03629	+	1.44696i
$389$	−9.47658	+	20.0365i	−0.480482	+	1.01589i	0.507547	+	0.861624i	$0.330552\pi$
$389$	−9.47658	+	20.0365i	−0.480482	+	1.01589i	−0.988029	+	0.154269i	$0.950698\pi$
$390$	−6.94325	−	5.32625i	−0.351585	−	0.269705i
$391$	1.10900	−	0.336410i	0.0560843	−	0.0170130i
$392$	−3.72907	−	14.8616i	−0.188347	−	0.750625i
$393$	7.18321	+	13.4388i	0.362345	+	0.677900i
$394$	6.83036	−	1.59359i	0.344109	−	0.0802841i
$395$	−1.10770	−	7.46750i	−0.0557344	−	0.375731i
$396$	−0.564100	+	0.244728i	−0.0283471	+	0.0122981i
$397$	−5.40482	−	1.93388i	−0.271260	−	0.0970585i	0.197746	−	0.980253i	$-0.436638\pi$
$397$	−5.40482	−	1.93388i	−0.271260	−	0.0970585i	−0.469006	+	0.883195i	$0.655388\pi$
$398$	18.1025	−	26.1631i	0.907396	−	1.31144i
$399$	2.10136	−	10.5643i	0.105200	−	0.528875i
$400$	−4.13940	−	17.7095i	−0.206970	−	0.885474i
$401$	0.284556	+	1.43056i	0.0142101	+	0.0714388i	0.987240	−	0.159242i	$-0.0509049\pi$
$401$	0.284556	+	1.43056i	0.0142101	+	0.0714388i	−0.973030	+	0.230680i	$0.925905\pi$
$402$	10.4925	−	24.2123i	0.523319	−	1.20760i
$403$	10.4803	−	11.5632i	0.522060	−	0.576005i
$404$	−2.71440	−	4.88121i	−0.135046	−	0.242849i
$405$	−5.04026	+	3.02102i	−0.250453	+	0.150115i
$406$	−1.39283	−	1.30418i	−0.0691251	−	0.0647252i
$407$	1.26081	+	12.8013i	0.0624963	+	0.634535i
$408$	1.43131	+	14.4719i	0.0708604	+	0.716468i
$409$	−12.4850	+	10.2462i	−0.617343	+	0.506641i	−0.890293	−	0.455388i	$-0.849501\pi$
$409$	−12.4850	+	10.2462i	−0.617343	+	0.506641i	0.272950	+	0.962028i	$0.412001\pi$
$410$	−0.779801	−	2.29620i	−0.0385116	−	0.113401i
$411$	−17.6259	−	19.4472i	−0.869423	−	0.959260i
$412$	7.69051	−	3.79513i	0.378884	−	0.186973i
$413$	27.7704	−	20.5959i	1.36649	−	1.01346i
$414$	−0.0219019	−	0.0426252i	−0.00107642	−	0.00209491i
$415$	−3.57790	+	8.63782i	−0.175632	+	0.424014i
$416$	18.5636	+	24.1586i	0.910155	+	1.18447i
$417$	−3.97183	−	9.58886i	−0.194502	−	0.469568i
$418$	5.71833	−	6.74169i	0.279693	−	0.329747i
$419$	−36.0085	−	5.34135i	−1.75913	−	0.260942i	−0.812429	−	0.583060i	$-0.801855\pi$
$419$	−36.0085	−	5.34135i	−1.75913	−	0.260942i	−0.946699	+	0.322118i	$0.895605\pi$
$420$	1.05469	−	8.02799i	0.0514635	−	0.391726i
$421$	9.69587	+	0.476328i	0.472548	+	0.0232148i	0.283949	−	0.958839i	$-0.408355\pi$
$421$	9.69587	+	0.476328i	0.472548	+	0.0232148i	0.188599	+	0.982054i	$0.439605\pi$
$422$	0.915125	−	13.9912i	0.0445476	−	0.681081i
$423$	0.533113	+	0.0525071i	0.0259208	+	0.00255298i
$424$	16.9971	+	25.4155i	0.825451	+	1.23429i
$425$	10.5898	+	8.69086i	0.513683	+	0.421569i
$426$	−27.5126	−	10.3507i	−1.33299	−	0.501495i
$427$	40.9603	+	10.2600i	1.98221	+	0.496517i
$428$	−15.0036	+	4.82524i	−0.725228	+	0.233237i
$429$	1.57370	+	32.0335i	0.0759792	+	1.54659i
$430$	−0.680583	−	0.703036i	−0.0328206	−	0.0339034i
$431$	−8.97006	+	13.4246i	−0.432073	+	0.646642i	−0.982068	−	0.188525i	$-0.939629\pi$
$431$	−8.97006	+	13.4246i	−0.432073	+	0.646642i	0.549996	+	0.835167i	$0.314629\pi$
$432$	20.2651	−	5.79892i	0.975007	−	0.279000i
$433$	8.71954	+	13.0497i	0.419034	+	0.627129i	0.979594	−	0.200985i	$-0.0644141\pi$
$433$	8.71954	+	13.0497i	0.419034	+	0.627129i	−0.560560	+	0.828114i	$0.689414\pi$
$434$	14.1148	+	3.04649i	0.677530	+	0.146236i
$435$	−0.188081	−	0.397665i	−0.00901782	−	0.0190666i
$436$	21.5015	−	14.8901i	1.02974	−	0.713105i
$437$	0.553388	+	0.410421i	0.0264721	+	0.0196331i
$438$	36.0034	+	5.93917i	1.72031	+	0.283785i
$439$	1.05122	−	3.46542i	0.0501722	−	0.165395i	−0.928274	−	0.371896i	$-0.878708\pi$
$439$	1.05122	−	3.46542i	0.0501722	−	0.165395i	0.978446	+	0.206501i	$0.0662077\pi$
$440$	3.95648	−	5.33924i	0.188618	−	0.254538i
$441$	0.224987	−	0.420920i	0.0107136	−	0.0200438i
$442$	−22.1686	−	5.93684i	−1.05445	−	0.282387i
$443$	−5.88137	+	2.10439i	−0.279432	+	0.0999825i	−0.472876	−	0.881129i	$-0.656784\pi$
$443$	−5.88137	+	2.10439i	−0.279432	+	0.0999825i	0.193444	+	0.981111i	$0.438034\pi$
$444$	0.408197	−	12.5735i	0.0193722	−	0.596710i
$445$	5.74097	+	3.44100i	0.272148	+	0.163119i
$446$	4.57845	+	16.0247i	0.216796	+	0.758792i
$447$	27.6439	−	27.6439i	1.30751	−	1.30751i
$448$	−10.7668	+	26.0534i	−0.508685	+	1.23091i
$449$	15.9104	+	15.9104i	0.750860	+	0.750860i	0.974640	−	0.223780i	$-0.0718397\pi$
$449$	15.9104	+	15.9104i	0.750860	+	0.750860i	−0.223780	+	0.974640i	$0.571840\pi$
$450$	0.275119	−	0.495212i	0.0129692	−	0.0233445i
$451$	−4.56918	+	7.62321i	−0.215154	+	0.358963i
$452$	1.39985	−	3.09176i	0.0658433	−	0.145424i
$453$	3.01500	+	8.42636i	0.141657	+	0.395905i
$454$	16.1203	−	9.30996i	0.756562	−	0.436938i
$455$	11.2691	+	6.02348i	0.528305	+	0.282385i
$456$	−6.40364	+	5.80867i	−0.299878	+	0.272016i
$457$	27.1249	+	8.22825i	1.26885	+	0.384901i	0.851745	−	0.523957i	$-0.175545\pi$
$457$	27.1249	+	8.22825i	1.26885	+	0.384901i	0.417105	+	0.908858i	$0.363045\pi$
$458$	−4.78003	−	6.66862i	−0.223356	−	0.311604i
$459$	−9.45833	+	12.7531i	−0.441477	+	0.595263i
$460$	0.435357	+	0.280536i	0.0202986	+	0.0130801i
$461$	−19.7801	+	9.35531i	−0.921253	+	0.435720i	−0.828513	−	0.559970i	$-0.810813\pi$
$461$	−19.7801	+	9.35531i	−0.921253	+	0.435720i	−0.0927401	+	0.995690i	$0.529563\pi$
$462$	−24.9386	+	16.0843i	−1.16025	+	0.748312i
$463$	5.01960	−	3.35399i	0.233281	−	0.155873i	−0.433436	−	0.901184i	$-0.642699\pi$
$463$	5.01960	−	3.35399i	0.233281	−	0.155873i	0.666717	+	0.745311i	$0.267699\pi$
$464$	0.274993	+	1.50667i	0.0127662	+	0.0699454i
$465$	2.76796	+	1.84949i	0.128361	+	0.0857680i
$466$	0.565980	−	34.8763i	0.0262185	−	1.61561i
$467$	−8.46148	+	0.415686i	−0.391551	+	0.0192357i	−0.243891	−	0.969803i	$-0.578424\pi$
$467$	−8.46148	+	0.415686i	−0.391551	+	0.0192357i	−0.147660	+	0.989038i	$0.547174\pi$
$468$	−0.0772984	+	0.945869i	−0.00357312	+	0.0437228i
$469$	−9.36241	+	37.3768i	−0.432316	+	1.72590i
$470$	−5.27301	+	2.39003i	−0.243226	+	0.110244i
$471$	1.70423	−	2.07662i	0.0785270	−	0.0956854i
$472$	−27.7515	+	0.0112960i	−1.27737	+	0.000519939i
$473$	−0.351510	+	3.56894i	−0.0161624	+	0.164100i
$474$	20.3417	−	17.8440i	0.934323	−	0.819604i
$475$	−0.399629	+	8.13463i	−0.0183362	+	0.373242i
$476$	−5.50157	−	20.5099i	−0.252164	−	0.940068i
$477$	−0.139745	+	0.942085i	−0.00639849	+	0.0431351i
$478$	−1.58692	−	19.3216i	−0.0725842	−	0.883751i
$479$	32.9099	−	13.6317i	1.50369	−	0.622850i	0.529448	−	0.848342i	$-0.322399\pi$
$479$	32.9099	−	13.6317i	1.50369	−	0.622850i	0.974245	+	0.225492i	$0.0723991\pi$
$480$	−4.51660	+	4.67322i	−0.206154	+	0.213302i
$481$	18.3416	+	7.59733i	0.836304	+	0.346409i
$482$	−1.54090	+	4.79799i	−0.0701862	+	0.218543i
$483$	−1.37773	−	1.85766i	−0.0626890	−	0.0845264i
$484$	−2.35044	+	0.154697i	−0.106838	+	0.00703167i
$485$	8.74444	−	7.92550i	0.397065	−	0.359878i
$486$	1.16101	+	0.572350i	0.0526644	+	0.0259623i
$487$	−22.8313	−	27.8200i	−1.03458	−	1.26064i	−0.964773	−	0.263083i	$-0.915261\pi$
$487$	−22.8313	−	27.8200i	−1.03458	−	1.26064i	−0.0698097	−	0.997560i	$-0.522239\pi$
$488$	−21.5121	−	26.1908i	−0.973808	−	1.18560i
$489$	17.7992	−	1.75307i	0.804908	−	0.0792765i
$490$	0.169467	+	5.15528i	0.00765572	+	0.232892i
$491$	−18.1528	−	30.2861i	−0.819225	−	1.36679i	−0.927943	−	0.372722i	$-0.878424\pi$
$491$	−18.1528	−	30.2861i	−0.819225	−	1.36679i	0.108718	−	0.994073i	$-0.465326\pi$
$492$	5.40166	−	6.80983i	0.243526	−	0.307011i
$493$	−0.854814	−	0.774758i	−0.0384989	−	0.0348933i
$494$	−5.01604	−	12.6883i	−0.225682	−	0.570874i
$495$	0.203020	−	0.0403833i	0.00912509	−	0.00181509i
$496$	−7.64672	−	8.70987i	−0.343348	−	0.391085i
$497$	42.0979	+	8.37380i	1.88835	+	0.375616i
$498$	−32.9698	+	6.00368i	−1.47741	+	0.269031i
$499$	2.54294	−	7.10703i	0.113837	−	0.318154i	−0.871090	−	0.491124i	$-0.836586\pi$
$499$	2.54294	−	7.10703i	0.113837	−	0.318154i	0.984927	+	0.172970i	$0.0553362\pi$
$500$	0.213819	+	12.8533i	0.00956230	+	0.574818i
$501$	−1.91815	+	0.284531i	−0.0856967	+	0.0127119i
$502$	−1.85952	+	2.99126i	−0.0829946	+	0.133507i
$503$	12.7329	−	6.80589i	0.567733	−	0.303460i	−0.162444	−	0.986718i	$-0.551938\pi$
$503$	12.7329	−	6.80589i	0.567733	−	0.303460i	0.730177	+	0.683258i	$0.239438\pi$
$504$	−0.793648	+	0.375763i	−0.0353519	+	0.0167378i
$505$	0.545786	+	1.79922i	0.0242872	+	0.0800640i
$506$	−0.248017	−	1.88190i	−0.0110257	−	0.0836607i
$507$	24.6932	+	11.6790i	1.09667	+	0.518684i
$508$	7.12398	−	30.5906i	0.316076	−	1.35724i
$509$	13.2563	−	3.32052i	0.587573	−	0.147179i	0.0622182	−	0.998063i	$-0.480183\pi$
$509$	13.2563	−	3.32052i	0.587573	−	0.147179i	0.525355	+	0.850883i	$0.323933\pi$
$510$	0.558839	−	4.86356i	0.0247458	−	0.215362i
$511$	−53.2824			−2.35708
$512$	19.3940	−	11.6565i	0.857100	−	0.515150i
$513$	−9.43940			−0.416760
$514$	−0.308497	+	2.68484i	−0.0136072	+	0.118423i
$515$	−2.80046	+	0.701480i	−0.123403	+	0.0309109i
$516$	0.795492	−	3.41587i	0.0350196	−	0.150375i
$517$	19.1811	+	9.07196i	0.843582	+	0.398984i
$518$	2.40015	+	18.2119i	0.105457	+	0.800183i
$519$	−0.660473	−	2.17729i	−0.0289916	−	0.0955724i
$520$	−4.38893	−	9.26985i	−0.192467	−	0.406510i
$521$	−22.1151	+	11.8208i	−0.968881	+	0.517878i	−0.878351	−	0.478016i	$-0.841356\pi$
$521$	−22.1151	+	11.8208i	−0.968881	+	0.517878i	−0.0905301	+	0.995894i	$0.528856\pi$
$522$	−0.0251869	+	0.0405160i	−0.00110240	+	0.00177334i
$523$	−7.32286	+	1.08624i	−0.320206	+	0.0474981i	−0.304899	−	0.952385i	$-0.598623\pi$
$523$	−7.32286	+	1.08624i	−0.320206	+	0.0474981i	−0.0153074	+	0.999883i	$0.504873\pi$
$524$	0.297061	+	17.8572i	0.0129772	+	0.780097i
$525$	9.21055	−	25.7417i	0.401981	−	1.12346i
$526$	−26.7426	+	4.86973i	−1.16603	+	0.212330i
$527$	8.56278	+	1.70324i	0.373001	+	0.0741944i
$528$	23.7693	+	1.54497i	1.03443	+	0.0672361i
$529$	−22.4130	+	4.45822i	−0.974477	+	0.193835i
$530$	−3.78406	−	9.57195i	−0.164369	−	0.415779i
$531$	−0.640504	−	0.580519i	−0.0277955	−	0.0251924i
$532$	7.84535	−	9.89059i	0.340139	−	0.428811i
$533$	7.05197	+	11.7655i	0.305455	+	0.509620i
$534$	0.788213	+	23.9779i	0.0341093	+	1.03763i
$535$	5.28000	−	0.520035i	0.228274	−	0.0224831i
$536$	23.8995	−	19.6301i	1.03230	−	0.847892i
$537$	22.6276	+	27.5718i	0.976452	+	1.18981i
$538$	−8.40278	−	4.14238i	−0.362270	−	0.178590i
$539$	14.0073	−	12.6954i	0.603335	−	0.546831i
$540$	−7.08049	+	0.466009i	−0.304696	+	0.0200538i
$541$	12.5380	+	16.9056i	0.539052	+	0.726828i	0.985817	−	0.167824i	$-0.0536739\pi$
$541$	12.5380	+	16.9056i	0.539052	+	0.726828i	−0.446765	+	0.894652i	$0.647424\pi$
$542$	8.19715	−	25.5239i	0.352098	−	1.09635i
$543$	37.1140	+	15.3731i	1.59272	+	0.659724i
$544$	−6.25335	+	15.8559i	−0.268110	+	0.679815i
$545$	−8.13420	+	3.36930i	−0.348431	+	0.144325i
$546$	3.74907	+	45.6470i	0.160446	+	1.95351i
$547$	2.29659	−	15.4824i	0.0981951	−	0.661978i	−0.883059	−	0.469261i	$-0.844520\pi$
$547$	2.29659	−	15.4824i	0.0981951	−	0.661978i	0.981255	−	0.192716i	$-0.0617297\pi$
$548$	−7.96976	−	29.7113i	−0.340451	−	1.26920i
$549$	0.0518024	−	1.05446i	0.00221087	−	0.0450034i
$550$	16.8682	−	14.7971i	0.719263	−	0.630949i
$551$	0.0672266	−	0.682563i	0.00286395	−	0.0290781i
$552$	0.000755625		1.85639i	3.21615e−5		0.0790134i
$553$	−25.0658	+	30.5427i	−1.06591	+	1.29881i
$554$	−17.4910	+	7.92793i	−0.743122	+	0.336826i
$555$	−1.02900	+	4.10801i	−0.0436787	+	0.174375i
$556$	0.990804	−	12.1241i	0.0420195	−	0.514175i
$557$	−2.22457	+	0.109286i	−0.0942579	+	0.00463059i	−0.0961420	−	0.995368i	$-0.530650\pi$
$557$	−2.22457	+	0.109286i	−0.0942579	+	0.00463059i	0.00188407	+	0.999998i	$0.499400\pi$
$558$	0.00585803	−	0.360978i	0.000247990	−	0.0152814i
$559$	4.60208	+	3.07501i	0.194647	+	0.130059i
$560$	5.39651	−	7.80623i	0.228044	−	0.329873i
$561$	−14.9185	+	9.96824i	−0.629861	+	0.420859i
$562$	0.232127	−	0.149712i	0.00979170	−	0.00631522i
$563$	−22.5455	+	10.6632i	−0.950178	+	0.449401i	−0.838838	−	0.544381i	$-0.816764\pi$
$563$	−22.5455	+	10.6632i	−0.950178	+	0.449401i	−0.111341	+	0.993782i	$0.535514\pi$
$564$	−17.4434	−	11.2402i	−0.734498	−	0.473297i
$565$	−0.680594	+	0.917674i	−0.0286328	+	0.0386068i
$566$	−0.936011	−	1.30583i	−0.0393435	−	0.0548880i
$567$	29.4313	+	8.92788i	1.23600	+	0.374936i
$568$	−23.1472	−	25.5181i	−0.971234	−	1.07072i
$569$	−14.0291	−	7.49871i	−0.588130	−	0.314362i	0.150355	−	0.988632i	$-0.451958\pi$
$569$	−14.0291	−	7.49871i	−0.588130	−	0.314362i	−0.738485	+	0.674270i	$0.764458\pi$
$570$	2.52032	−	1.45557i	0.105565	−	0.0609669i
$571$	−6.72370	−	18.7915i	−0.281378	−	0.786399i	−0.996200	−	0.0870925i	$-0.972242\pi$
$571$	−6.72370	−	18.7915i	−0.281378	−	0.786399i	0.714822	−	0.699306i	$-0.246508\pi$
$572$	−15.5043	+	34.2434i	−0.648266	+	1.43179i
$573$	15.2903	−	25.5103i	0.638761	−	1.06571i
$574$	−6.16383	+	11.0948i	−0.257273	+	0.463090i
$575$	1.23657	+	1.23657i	0.0515685	+	0.0515685i
$576$	0.691392	+	0.136941i	0.0288080	+	0.00570589i
$577$	−5.59827	+	5.59827i	−0.233059	+	0.233059i	−0.813968	−	0.580909i	$-0.802697\pi$
$577$	−5.59827	+	5.59827i	−0.233059	+	0.233059i	0.580909	+	0.813968i	$0.302697\pi$
$578$	3.07758	+	10.7716i	0.128011	+	0.448040i
$579$	19.5825	+	11.7373i	0.813820	+	0.487785i
$580$	0.0167295	−	0.515308i	0.000694653	−	0.0213970i
$581$	46.0734	−	16.4853i	1.91145	−	0.683927i
$582$	40.8614	+	10.9428i	1.69376	+	0.453595i
$583$	−17.7826	+	33.2690i	−0.736482	+	1.37786i
$584$	34.3617	+	25.4627i	1.42190	+	1.05365i
$585$	0.0927390	−	0.305719i	0.00383428	−	0.0126399i
$586$	−30.4578	−	5.02435i	−1.25820	−	0.207554i
$587$	−27.2891	−	20.2390i	−1.12634	−	0.835353i	−0.138432	−	0.990372i	$-0.544206\pi$
$587$	−27.2891	−	20.2390i	−1.12634	−	0.835353i	−0.987912	+	0.155019i	$0.950456\pi$
$588$	−15.1995	+	10.5258i	−0.626817	+	0.434078i
$589$	2.21917	+	4.69203i	0.0914392	+	0.193332i
$590$	9.13190	+	1.97101i	0.375954	+	0.0811450i
$591$	−4.70181	−	7.03676i	−0.193407	−	0.289454i
$592$	7.15527	−	12.8918i	0.294080	−	0.529849i
$593$	19.5846	−	29.3104i	0.804242	−	1.20363i	−0.171602	−	0.985166i	$-0.554894\pi$
$593$	19.5846	−	29.3104i	0.804242	−	1.20363i	0.975844	−	0.218467i	$-0.0701056\pi$
$594$	18.0884	+	18.6852i	0.742177	+	0.766663i
$595$	0.350758	+	7.13985i	0.0143797	+	0.292705i
$596$	43.6198	−	14.0283i	1.78674	−	0.574624i
$597$	−37.2386	−	9.32779i	−1.52408	−	0.381761i
$598$	−2.74197	−	1.03158i	−0.112127	−	0.0421844i
$599$	−16.8336	−	13.8150i	−0.687804	−	0.564466i	0.224252	−	0.974531i	$-0.428006\pi$
$599$	−16.8336	−	13.8150i	−0.687804	−	0.564466i	−0.912056	+	0.410065i	$0.865506\pi$
$600$	−18.2414	+	12.1992i	−0.744701	+	0.498032i
$601$	44.8275	+	4.41513i	1.82855	+	0.180097i	0.952989	−	0.303005i	$-0.0979898\pi$
$601$	44.8275	+	4.41513i	1.82855	+	0.180097i	0.875564	+	0.483101i	$0.160490\pi$
$602$	−0.334255	+	5.11037i	−0.0136232	+	0.208283i
$603$	0.962212	+	0.0472704i	0.0391843	+	0.00192500i
$604$	−1.36629	+	10.3998i	−0.0555936	+	0.423162i
$605$	0.784376	+	0.116351i	0.0318894	+	0.00473035i
$606$	−4.35928	+	5.13943i	−0.177084	+	0.208775i
$607$	−11.8918	−	28.7094i	−0.482673	−	1.16528i	−0.958335	−	0.285648i	$-0.907791\pi$
$607$	−11.8918	−	28.7094i	−0.482673	−	1.16528i	0.475661	−	0.879629i	$-0.342209\pi$
$608$	−9.78598	+	2.62926i	−0.396874	+	0.106631i
$609$	−0.881079	+	2.12711i	−0.0357031	+	0.0861949i
$610$	5.21448	+	10.1483i	0.211128	+	0.410894i
$611$	26.3032	−	19.5078i	1.06411	−	0.789201i
$612$	−0.476103	+	0.234949i	−0.0192453	+	0.00949723i
$613$	−30.5108	−	33.6634i	−1.23232	−	1.35965i	−0.910852	−	0.412732i	$-0.864575\pi$
$613$	−30.5108	−	33.6634i	−1.23232	−	1.35965i	−0.321465	−	0.946921i	$-0.604175\pi$
$614$	−14.5308	−	42.7874i	−0.586417	−	1.72676i
$615$	−2.26188	+	1.85628i	−0.0912078	+	0.0748523i
$616$	−34.6121	+	3.42322i	−1.39456	+	0.137925i
$617$	1.50307	+	15.2609i	0.0605112	+	0.614380i	0.976843	+	0.213959i	$0.0686360\pi$
$617$	1.50307	+	15.2609i	0.0605112	+	0.614380i	−0.916331	+	0.400421i	$0.868864\pi$
$618$	−7.55358	−	7.07277i	−0.303849	−	0.284509i
$619$	37.3740	−	22.4011i	1.50219	−	0.900376i	0.502835	−	0.864382i	$-0.332290\pi$
$619$	37.3740	−	22.4011i	1.50219	−	0.900376i	0.999352	−	0.0359939i	$-0.0114597\pi$
$620$	1.89623	+	3.40993i	0.0761545	+	0.136946i
$621$	−1.36113	+	1.50178i	−0.0546204	+	0.0602644i
$622$	14.3925	−	33.2117i	0.577085	−	1.33167i
$623$	−6.83427	−	34.3582i	−0.273809	−	1.37653i
$624$	19.3961	−	31.2293i	0.776466	−	1.25017i
$625$	−3.59083	+	18.0523i	−0.143633	+	0.722094i
$626$	−24.0141	+	34.7071i	−0.959798	+	1.38717i
$627$	−10.0433	−	3.59356i	−0.401092	−	0.143513i
$628$	2.88845	−	1.25312i	0.115262	−	0.0500050i
$629$	1.62965	+	10.9862i	0.0649783	+	0.438048i
$630$	0.287873	−	0.0671637i	0.0114691	−	0.00267586i
$631$	19.1686	+	35.8618i	0.763088	+	1.42764i	0.899471	+	0.436981i	$0.143952\pi$
$631$	19.1686	+	35.8618i	0.763088	+	1.42764i	−0.136382	+	0.990656i	$0.543548\pi$
$632$	30.7607	−	7.71846i	1.22359	−	0.307024i
$633$	−16.1897	+	4.91110i	−0.643484	+	0.195199i
$634$	29.4976	+	22.6280i	1.17150	+	0.898672i
$635$	−4.52075	+	9.55833i	−0.179401	+	0.379311i
$636$	21.4812	−	29.9942i	0.851785	−	1.18935i
$637$	−7.08935	−	28.3023i	−0.280890	−	1.12138i
$638$	−1.47995	+	1.17490i	−0.0585918	+	0.0465147i
$639$		−	1.07316i		−	0.0424535i
$640$	−7.21065	+	2.45533i	−0.285026	+	0.0970553i
$641$		−	5.19133i		−	0.205045i	−0.994731	−	0.102523i	$-0.967309\pi$
$641$		−	5.19133i		−	0.205045i	0.994731	−	0.102523i	$-0.0326914\pi$
$642$	11.8241	+	14.8941i	0.466661	+	0.587825i
$643$	−1.36244	−	5.43917i	−0.0537294	−	0.214500i	0.937219	−	0.348740i	$-0.113390\pi$
$643$	−1.36244	−	5.43917i	−0.0537294	−	0.214500i	−0.990949	+	0.134241i	$0.957140\pi$
$644$	−0.442285	−	2.67437i	−0.0174285	−	0.105385i
$645$	−0.504805	+	1.06732i	−0.0198767	+	0.0420257i
$646$	4.64577	−	6.05619i	0.182785	−	0.238278i
$647$	−39.9291	+	12.1124i	−1.56977	+	0.476186i	−0.950950	−	0.309344i	$-0.899891\pi$
$647$	−39.9291	+	12.1124i	−1.56977	+	0.476186i	−0.618824	+	0.785530i	$0.712391\pi$
$648$	−14.7137	−	19.8222i	−0.578008	−	0.778691i
$649$	−16.1403	−	30.1964i	−0.633563	−	1.18531i
$650$	−7.86850	−	33.7255i	−0.308628	−	1.32282i
$651$	−2.55655	−	17.2349i	−0.100199	−	0.675487i
$652$	19.4974	+	7.69869i	0.763577	+	0.301504i
$653$	−14.7213	−	5.26736i	−0.576089	−	0.206128i	0.0326932	−	0.999465i	$-0.489592\pi$
$653$	−14.7213	−	5.26736i	−0.576089	−	0.206128i	−0.608782	+	0.793338i	$0.708342\pi$
$654$	−25.9517	−	17.9562i	−1.01479	−	0.702143i
$655$	1.17293	−	5.89671i	0.0458301	−	0.230404i
$656$	9.27707	−	4.20946i	0.362209	−	0.164352i
$657$	0.259894	+	1.30658i	0.0101395	+	0.0509745i
$658$	27.8024	+	12.0483i	1.08385	+	0.469692i
$659$	4.14495	−	4.57324i	0.161464	−	0.178148i	−0.654845	−	0.755763i	$-0.727266\pi$
$659$	4.14495	−	4.57324i	0.161464	−	0.178148i	0.816310	+	0.577614i	$0.196016\pi$
$660$	−7.71089	−	2.19970i	−0.300146	−	0.0856232i
$661$	−1.45742	+	0.873545i	−0.0566871	+	0.0339770i	−0.542166	−	0.840272i	$-0.682395\pi$
$661$	−1.45742	+	0.873545i	−0.0566871	+	0.0339770i	0.485478	+	0.874249i	$0.338645\pi$
$662$	−27.7707	+	29.6586i	−1.07934	+	1.15271i
$663$	2.71428	+	27.5585i	0.105414	+	1.07028i
$664$	−37.5907	−	11.3863i	−1.45880	−	0.441874i
$665$	−3.28515	+	2.69605i	−0.127393	+	0.104548i
$666$	0.434879	−	0.147687i	0.0168512	−	0.00572277i
$667$	−0.0988998	−	0.109119i	−0.00382941	−	0.00422511i
$668$	−2.15233	−	0.729967i	−0.0832762	−	0.0282433i
$669$	16.1522	−	11.9793i	0.624478	−	0.463145i
$670$	−9.26050	+	4.75828i	−0.357764	+	0.183828i
$671$	16.0025	−	38.6334i	0.617769	−	1.49143i
$672$	33.9980	+	1.08989i	1.31150	+	0.0420434i
$673$	−13.5501	−	32.7128i	−0.522318	−	1.26099i	−0.936460	−	0.350774i	$-0.885918\pi$
$673$	−13.5501	−	32.7128i	−0.522318	−	1.26099i	0.414142	−	0.910212i	$-0.364082\pi$
$674$	1.64889	+	1.39860i	0.0635130	+	0.0538719i
$675$	−23.7001	−	3.51558i	−0.912217	−	0.135315i
$676$	19.4965	+	25.3941i	0.749867	+	0.976696i
$677$	20.3562	+	1.00004i	0.782352	+	0.0384345i	0.436324	−	0.899790i	$-0.356280\pi$
$677$	20.3562	+	1.00004i	0.782352	+	0.0384345i	0.346028	+	0.938224i	$0.387530\pi$
$678$	−4.08644	−	0.267282i	−0.156939	−	0.0102649i
$679$	−61.4706	−	6.05432i	−2.35902	−	0.232344i
$680$	3.18580	−	4.77209i	0.122170	−	0.183001i
$681$	−17.3634	−	14.2498i	−0.665366	−	0.546052i
$682$	5.03531	−	13.3840i	0.192812	−	0.512500i
$683$	−16.4349	−	4.11673i	−0.628865	−	0.157522i	−0.0845714	−	0.996417i	$-0.526952\pi$
$683$	−16.4349	−	4.11673i	−0.628865	−	0.157522i	−0.544293	+	0.838895i	$0.683202\pi$
$684$	−0.280801	−	0.144139i	−0.0107367	−	0.00551128i
$685$	0.508121	+	10.3430i	0.0194143	+	0.395187i
$686$	−5.66704	+	5.48605i	−0.216369	+	0.209458i
$687$	−5.50024	+	8.23168i	−0.209847	+	0.314058i
$688$	2.65772	−	3.13593i	0.101324	−	0.119556i
$689$	32.3460	+	48.4093i	1.23229	+	1.84425i
$690$	0.131847	−	0.610864i	0.00501934	−	0.0232552i
$691$	4.57797	+	9.67930i	0.174154	+	0.368218i	0.972120	−	0.234485i	$-0.0753404\pi$
$691$	4.57797	+	9.67930i	0.174154	+	0.368218i	−0.797966	+	0.602703i	$0.794090\pi$
$692$	0.476671	−	2.62375i	0.0181203	−	0.0997398i
$693$	−0.870191	−	0.645378i	−0.0330558	−	0.0245159i
$694$	−1.03818	+	6.29349i	−0.0394089	+	0.238898i
$695$	−1.18872	+	3.91868i	−0.0450907	+	0.148644i
$696$	1.58471	−	0.950718i	0.0600684	−	0.0360369i
$697$	−3.61742	+	6.76771i	−0.137019	+	0.256345i
$698$	2.30424	−	8.60422i	0.0872169	−	0.325675i
$699$	−39.6279	+	14.1791i	−1.49887	+	0.536303i
$700$	23.3814	−	21.9110i	0.883735	−	0.828158i
$701$	−32.1992	−	19.2994i	−1.21615	−	0.728930i	−0.245490	−	0.969399i	$-0.578949\pi$
$701$	−32.1992	−	19.2994i	−1.21615	−	0.728930i	−0.970657	+	0.240469i	$0.922699\pi$
$702$	38.5932	−	11.0265i	1.45661	−	0.416170i
$703$	−4.66891	+	4.66891i	−0.176091	+	0.176091i
$704$	23.9572	+	14.3329i	0.902920	+	0.540191i
$705$	4.93958	+	4.93958i	0.186035	+	0.186035i
$706$	−36.4533	−	20.2519i	−1.37194	−	0.762192i
$707$	5.05905	−	8.44052i	0.190265	−	0.317439i
$708$	11.8039	+	31.3363i	0.443616	+	1.17769i
$709$	−3.93449	−	10.9962i	−0.147763	−	0.412970i	0.844742	−	0.535174i	$-0.179754\pi$
$709$	−3.93449	−	10.9962i	−0.147763	−	0.412970i	−0.992505	+	0.122204i	$0.961004\pi$
$710$	5.80033	+	10.0433i	0.217683	+	0.376919i
$711$	0.871224	+	0.465679i	0.0326735	+	0.0174643i
$712$	−12.0118	+	25.4235i	−0.450160	+	0.952786i
$713$	1.06649	+	0.323515i	0.0399402	+	0.0121157i
$714$	−20.8252	+	14.9274i	−0.779365	+	0.558645i
$715$	7.53805	−	10.1639i	0.281907	−	0.380107i
$716$	8.83647	+	40.8598i	0.330234	+	1.52700i
$717$	−21.1466	+	10.0016i	−0.789733	+	0.373516i
$718$	9.45070	+	14.6532i	0.352697	+	0.546854i
$719$	−1.98295	+	1.32497i	−0.0739516	+	0.0494129i	−0.591996	−	0.805941i	$-0.701660\pi$
$719$	−1.98295	+	1.32497i	−0.0739516	+	0.0494129i	0.518045	+	0.855353i	$0.326660\pi$
$720$	−0.217745	−	0.0942555i	−0.00811487	−	0.00351269i
$721$	12.5635	+	8.39468i	0.467890	+	0.312634i
$722$	−22.3293	−	0.362365i	−0.831011	−	0.0134858i
$723$	6.07330	−	0.298362i	0.225868	−	0.0110962i
$724$	30.4704	+	35.8938i	1.13242	+	1.33398i
$725$	0.423001	−	1.68871i	0.0157099	−	0.0627173i
$726$	1.17337	+	2.58874i	0.0435477	+	0.0960771i
$727$	−4.31900	+	5.26271i	−0.160183	+	0.195183i	−0.846917	−	0.531726i	$-0.821544\pi$
$727$	−4.31900	+	5.26271i	−0.160183	+	0.195183i	0.686734	+	0.726909i	$0.259044\pi$
$728$	−20.5223	+	49.6024i	−0.760608	+	1.83839i
$729$	2.71955	−	27.6121i	0.100724	−	1.02267i
$730$	−9.49420	−	10.8231i	−0.351396	−	0.400581i
$731$	−0.151934	+	3.09269i	−0.00561948	+	0.114387i
$732$	−20.4385	+	35.4226i	−0.755427	+	1.30926i
$733$	−6.07163	+	40.9316i	−0.224261	+	1.51184i	0.525876	+	0.850561i	$0.323738\pi$
$733$	−6.07163	+	40.9316i	−0.224261	+	1.51184i	−0.750137	+	0.661283i	$0.770012\pi$
$734$	11.2403	−	0.923191i	0.414888	−	0.0340756i
$735$	5.75009	−	2.38177i	0.212095	−	0.0878528i
$736$	−0.992803	+	1.93605i	−0.0365952	+	0.0713638i
$737$	35.2536	+	14.6025i	1.29858	+	0.537890i
$738$	0.302130	+	0.0970308i	0.0111216	+	0.00357175i
$739$	3.43187	+	4.62734i	0.126243	+	0.170219i	0.861807	−	0.507236i	$-0.169333\pi$
$739$	3.43187	+	4.62734i	0.126243	+	0.170219i	−0.735564	+	0.677455i	$0.763083\pi$
$740$	−3.27164	+	3.73264i	−0.120268	+	0.137215i
$741$	−12.1983	+	11.0559i	−0.448115	+	0.406148i
$742$	−23.8199	+	48.3185i	−0.874457	+	1.77383i
$743$	18.5382	+	22.5888i	0.680100	+	0.828704i	0.992628	−	0.121204i	$-0.0386756\pi$
$743$	18.5382	+	22.5888i	0.680100	+	0.828704i	−0.312527	+	0.949909i	$0.601176\pi$
$744$	−6.58752	+	12.3365i	−0.241510	+	0.452276i
$745$	−15.3505	+	1.51189i	−0.562398	+	0.0553913i
$746$	10.0276	−	0.329631i	0.367136	−	0.0120687i
$747$	−0.628980	−	1.04939i	−0.0230132	−	0.0383952i
$748$	−20.8907	+	2.40903i	−0.763840	+	0.0880827i
$749$	−20.5751	−	18.6481i	−0.751796	−	0.681388i
$750$	14.4250	−	5.70261i	0.526727	−	0.208230i
$751$	24.8959	−	4.95211i	0.908466	−	0.180705i	0.281326	−	0.959612i	$-0.409226\pi$
$751$	24.8959	−	4.95211i	0.908466	−	0.180705i	0.627139	+	0.778907i	$0.284226\pi$
$752$	−12.1720	−	21.0562i	−0.443869	−	0.767840i
$753$	4.16825	+	0.829116i	0.151899	+	0.0302147i
$754$	0.522472	+	2.86920i	0.0190273	+	0.104490i
$755$	1.18957	−	3.32463i	0.0432930	−	0.120996i
$756$	26.6939	+	25.8204i	0.970849	+	0.939077i
$757$	−45.1440	+	6.69648i	−1.64079	+	0.243388i	−0.902371	−	0.430960i	$-0.858175\pi$
$757$	−45.1440	+	6.69648i	−1.64079	+	0.243388i	−0.738414	+	0.674347i	$0.764425\pi$
$758$	31.5135	+	19.5905i	1.14462	+	0.711557i
$759$	−2.01994	+	1.07968i	−0.0733192	+	0.0391899i
$760$	3.40698	−	0.168764i	0.123584	−	0.00612172i
$761$	−10.6668	−	35.1637i	−0.386671	−	1.27468i	−0.907149	−	0.420809i	$-0.861746\pi$
$761$	−10.6668	−	35.1637i	−0.386671	−	1.27468i	0.520478	−	0.853875i	$-0.325754\pi$
$762$	−37.5743	+	4.95193i	−1.36117	+	0.179390i
$763$	41.6566	+	19.7021i	1.50807	+	0.713264i
$764$	29.5968	−	18.4156i	1.07078	−	0.666254i
$765$	0.173371	−	0.0434271i	0.00626823	−	0.00157011i
$766$	4.91589	+	0.564851i	0.177618	+	0.0204089i
$767$	−52.8443			−1.90810
$768$	−21.4044	−	16.9499i	−0.772364	−	0.611626i
$769$	25.0907			0.904793			0.452396	−	0.891817i	$-0.350569\pi$
$769$	25.0907			0.904793			0.452396	+	0.891817i	$0.350569\pi$
$770$	11.6320	+	1.33656i	0.419189	+	0.0481662i
$771$	3.16319	−	0.792337i	0.113919	−	0.0285353i
$772$	14.1364	+	22.7194i	0.508780	+	0.817690i
$773$	8.62175	+	4.07778i	0.310103	+	0.146668i	0.576270	−	0.817259i	$-0.304507\pi$
$773$	8.62175	+	4.07778i	0.310103	+	0.146668i	−0.266168	+	0.963927i	$0.585757\pi$
$774$	0.126946	−	0.0167302i	0.00456297	−	0.000601356i
$775$	3.82432	+	12.6071i	0.137373	+	0.452860i
$776$	36.7490	+	33.2801i	1.31921	+	1.19469i
$777$	19.5477	−	10.4485i	0.701271	−	0.374837i
$778$	26.6209	+	16.5489i	0.954404	+	0.593307i
$779$	−4.51277	+	0.669406i	−0.161687	+	0.0239839i
$780$	−8.60410	+	8.89521i	−0.308076	+	0.318499i
$781$	14.3201	−	40.0220i	0.512413	−	1.43210i
$782$	−0.293615	−	1.61241i	−0.0104996	−	0.0576598i
$783$	1.97892	+	0.393631i	0.0707208	+	0.0140672i
$784$	−21.4821	+	2.84004i	−0.767219	+	0.101430i
$785$	−1.03956	+	0.206781i	−0.0371034	+	0.00738033i
$786$	20.0408	−	7.92269i	0.714831	−	0.282593i
$787$	26.1517	+	23.7025i	0.932206	+	0.844902i	0.988144	−	0.153532i	$-0.0490648\pi$
$787$	26.1517	+	23.7025i	0.932206	+	0.844902i	−0.0559376	+	0.998434i	$0.517815\pi$
$788$	−1.13629	−	9.85371i	−0.0404786	−	0.351024i
$789$	16.8621	+	28.1326i	0.600305	+	1.00155i
$790$	−10.6704	+	0.350763i	−0.379637	+	0.0124796i
$791$	5.95094	−	0.586116i	0.211591	−	0.0208399i
$792$	0.252770	+	0.832052i	0.00898179	+	0.0295657i
$793$	−40.9429	−	49.8891i	−1.45393	−	1.77161i
$794$	−3.58957	+	7.28141i	−0.127389	+	0.258408i
$795$	−9.20228	+	8.34046i	−0.326371	+	0.295806i
$796$	−33.8360	−	29.6571i	−1.19928	−	1.05117i
$797$	−11.4468	−	15.4343i	−0.405468	−	0.546710i	0.552527	−	0.833495i	$-0.313663\pi$
$797$	−11.4468	−	15.4343i	−0.405468	−	0.546710i	−0.957995	+	0.286785i	$0.907413\pi$
$798$	−14.5032	−	4.65780i	−0.513409	−	0.164884i
$799$	16.9258	+	7.01088i	0.598791	+	0.248027i
$800$	−25.5495	+	2.95680i	−0.903312	+	0.104539i
$801$	−0.809187	+	0.335176i	−0.0285912	+	0.0118429i
$802$	2.05583	−	0.168849i	0.0725939	−	0.00596228i
$803$	−7.74239	+	52.1950i	−0.273223	+	1.84192i
$804$	−32.3237	−	18.6504i	−1.13997	−	0.657748i
$805$	−0.0447752	+	0.911420i	−0.00157812	+	0.0321233i
$806$	−14.5541	−	16.5912i	−0.512645	−	0.584400i
$807$	−1.10800	+	11.2497i	−0.0390033	+	0.396007i
$808$	−7.29615	+	3.02564i	−0.256678	+	0.106442i
$809$	−14.6511	+	17.8524i	−0.515106	+	0.627658i	−0.963992	−	0.265931i	$-0.914321\pi$
$809$	−14.6511	+	17.8524i	−0.515106	+	0.627658i	0.448886	+	0.893589i	$0.351821\pi$
$810$	3.43076	+	7.56911i	0.120545	+	0.265951i
$811$	4.35935	−	17.4035i	0.153078	−	0.611120i	−0.844110	−	0.536170i	$-0.819870\pi$
$811$	4.35935	−	17.4035i	0.153078	−	0.611120i	0.997187	−	0.0749494i	$-0.0238795\pi$
$812$	−2.05718	+	1.74635i	−0.0721929	+	0.0612848i
$813$	−32.3082	+	1.58720i	−1.13310	+	0.0556655i
$814$	18.1889	+	0.295174i	0.637521	+	0.0103458i
$815$	−5.86742	−	3.92048i	−0.205527	−	0.137329i
$816$	20.5637	+	0.325340i	0.719874	+	0.0113892i
$817$	−1.53060	+	1.02272i	−0.0535491	+	0.0357803i
$818$	12.3800	+	19.1951i	0.432858	+	0.671142i
$819$	−1.51155	+	0.714910i	−0.0528178	+	0.0249810i
$820$	−3.35197	+	0.724909i	−0.117056	+	0.0253149i
$821$	27.9522	−	37.6892i	0.975539	−	1.31536i	0.0266863	−	0.999644i	$-0.491504\pi$
$821$	27.9522	−	37.6892i	0.975539	−	1.31536i	0.948853	−	0.315719i	$-0.102246\pi$
$822$	−30.1682	+	21.6244i	−1.05224	+	0.754238i
$823$	−37.9104	−	11.5000i	−1.32147	−	0.400865i	−0.450756	−	0.892647i	$-0.648845\pi$
$823$	−37.9104	−	11.5000i	−1.32147	−	0.400865i	−0.870718	+	0.491783i	$0.836345\pi$
$824$	−4.09053	−	11.4176i	−0.142500	−	0.397751i
$825$	−23.8780	−	12.7631i	−0.831326	−	0.444353i
$826$	−24.4535	−	42.3415i	−0.850848	−	1.47325i
$827$	10.6254	+	29.6961i	0.369483	+	1.03264i	0.972092	+	0.234599i	$0.0753778\pi$
$827$	10.6254	+	29.6961i	0.369483	+	1.03264i	−0.602609	+	0.798037i	$0.705872\pi$
$828$	−0.0634228	+	0.0238903i	−0.00220409	+	0.000830245i
$829$	−26.0043	+	43.3855i	−0.903165	+	1.50684i	−0.0416356	+	0.999133i	$0.513257\pi$
$829$	−26.0043	+	43.3855i	−0.903165	+	1.50684i	−0.861530	+	0.507707i	$0.830493\pi$
$830$	11.5583	+	6.42129i	0.401193	+	0.222886i
$831$	16.3850	+	16.3850i	0.568389	+	0.568389i
$832$	36.9389	−	22.1812i	1.28063	−	0.768995i
$833$	11.5418	−	11.5418i	0.399899	−	0.399899i
$834$	−14.1132	+	4.03232i	−0.488702	+	0.139628i
$835$	0.656240	+	0.393335i	0.0227101	+	0.0136119i
$836$	−8.54873	−	9.12242i	−0.295664	−	0.315506i
$837$	−14.3765	+	5.14400i	−0.496925	+	0.177803i
$838$	−13.3175	+	49.7285i	−0.460045	+	1.71784i
$839$	−10.4969	+	19.6382i	−0.362392	+	0.677987i	−0.995363	−	0.0961880i	$-0.969335\pi$
$839$	−10.4969	+	19.6382i	−0.362392	+	0.677987i	0.632972	+	0.774175i	$0.281835\pi$
$840$	−11.1088	−	2.77781i	−0.383291	−	0.0958435i
$841$	8.37570	−	27.6110i	0.288817	−	0.952103i
$842$	2.23448	−	13.5455i	0.0770054	−	0.466809i
$843$	−0.267703	−	0.198542i	−0.00922020	−	0.00683816i
$844$	−19.5095	−	3.54440i	−0.671544	−	0.122003i
$845$	−4.60798	−	9.74276i	−0.158519	−	0.335161i
$846$	0.159834	−	0.740531i	0.00549521	−	0.0254600i
$847$	−2.30574	−	3.45078i	−0.0792262	−	0.118570i
$848$	38.4520	−	19.7774i	1.32045	−	0.679159i
$849$	−1.07704	+	1.61190i	−0.0369639	+	0.0553204i
$850$	13.9200	−	13.4754i	0.477451	−	0.462202i
$851$	0.0695662	+	1.41605i	0.00238470	+	0.0485416i
$852$	−18.9840	+	36.9834i	−0.650381	+	1.26703i
$853$	16.8993	+	4.23305i	0.578621	+	0.144937i	0.521232	−	0.853415i	$-0.325473\pi$
$853$	16.8993	+	4.23305i	0.578621	+	0.144937i	0.0573886	+	0.998352i	$0.481723\pi$
$854$	21.0274	−	55.8916i	0.719544	−	1.91257i
$855$	0.0821358	+	0.0674071i	0.00280898	+	0.00230527i
$856$	4.35720	+	21.8586i	0.148926	+	0.747112i
$857$	−55.1886	−	5.43560i	−1.88521	−	0.185677i	−0.911164	−	0.412045i	$-0.864815\pi$
$857$	−55.1886	−	5.43560i	−1.88521	−	0.185677i	−0.974042	+	0.226368i	$0.927315\pi$
$858$	45.2601	+	2.96034i	1.54516	+	0.101064i
$859$	4.97546	+	0.244428i	0.169760	+	0.00833979i	0.133770	−	0.991012i	$-0.457292\pi$
$859$	4.97546	+	0.244428i	0.169760	+	0.00833979i	0.0359900	+	0.999352i	$0.488542\pi$
$860$	−1.09761	+	0.842703i	−0.0374283	+	0.0287359i
$861$	15.1488	+	2.24712i	0.516271	+	0.0765815i
$862$	17.4131	+	14.7699i	0.593093	+	0.503064i
$863$	8.65421	+	20.8931i	0.294593	+	0.711210i	0.999997	+	0.00240474i	$0.000765453\pi$
$863$	8.65421	+	20.8931i	0.294593	+	0.711210i	−0.705404	+	0.708805i	$0.749235\pi$
$864$	−4.87578	−	29.4080i	−0.165878	−	1.00048i
$865$	−0.343538	+	0.829374i	−0.0116806	+	0.0281996i
$866$	19.7421	−	10.1440i	0.670863	−	0.344707i
$867$	10.8573	−	8.05232i	0.368733	−	0.273471i
$868$	6.55885	−	19.3390i	0.222622	−	0.656408i
$869$	26.2771	+	28.9923i	0.891390	+	0.983497i
$870$	−0.589070	+	0.200051i	−0.0199713	+	0.00678238i
$871$	45.5245	−	37.3610i	1.54254	−	1.26593i
$872$	−17.4490	−	32.6128i	−0.590897	−	1.10441i
$873$	0.151371	+	1.53690i	0.00512313	+	0.0520161i
$874$	0.665965	−	0.711237i	0.0225266	−	0.0240579i
$875$	−19.4271	+	11.6442i	−0.656756	+	0.393644i
$876$	14.1566	−	49.6249i	0.478307	−	1.67667i
$877$	13.4979	−	14.8927i	0.455792	−	0.502889i	−0.469086	−	0.883152i	$-0.655417\pi$
$877$	13.4979	−	14.8927i	0.455792	−	0.502889i	0.924878	+	0.380263i	$0.124167\pi$
$878$	−4.69910	−	2.03638i	−0.158587	−	0.0687244i
$879$	7.26670	+	36.5322i	0.245100	+	1.23220i
$880$	−6.86275	−	6.42068i	−0.231343	−	0.216441i
$881$	3.04411	−	15.3038i	0.102559	−	0.515597i	−0.895019	−	0.446029i	$-0.852838\pi$
$881$	3.04411	−	15.3038i	0.102559	−	0.515597i	0.997577	−	0.0695681i	$-0.0221621\pi$
$882$	−0.555059	−	0.384051i	−0.0186898	−	0.0129317i
$883$	24.6661	+	8.82567i	0.830081	+	0.297008i	0.717433	−	0.696627i	$-0.245317\pi$
$883$	24.6661	+	8.82567i	0.830081	+	0.297008i	0.112648	+	0.993635i	$0.464067\pi$
$884$	−11.9199	+	30.1878i	−0.400909	+	1.01533i
$885$	−1.65402	−	11.1505i	−0.0555994	−	0.374821i
$886$	2.00714	+	8.60286i	0.0674311	+	0.289019i
$887$	−7.12698	−	13.3336i	−0.239301	−	0.447700i	0.733389	−	0.679809i	$-0.237937\pi$
$887$	−7.12698	−	13.3336i	−0.239301	−	0.447700i	−0.972690	+	0.232109i	$0.925437\pi$
$888$	−17.5994	−	2.60331i	−0.590598	−	0.0873613i
$889$	52.9572	−	16.0644i	1.77613	−	0.538782i
$890$	5.76130	−	7.51038i	0.193119	−	0.251749i
$891$	13.0223	−	27.5333i	0.436263	−	0.922400i
$892$	23.2533	−	3.84562i	0.778579	−	0.128761i
$893$	2.64643	+	10.5652i	0.0885595	+	0.353549i
$894$	−34.3761	−	43.3015i	−1.14971	−	1.44822i
$895$		−	14.0729i		−	0.470405i
$896$	34.8661	+	19.3330i	1.16479	+	0.645871i
$897$			3.53493i			0.118028i
$898$	24.9222	−	19.7852i	0.831664	−	0.660239i
$899$	−0.269574	−	1.07620i	−0.00899080	−	0.0358933i
$900$	−0.651343	−	0.466478i	−0.0217114	−	0.0155493i
$901$	−13.9260	+	29.4440i	−0.463942	+	0.980922i
$902$	9.97275	+	7.65021i	0.332056	+	0.254724i
$903$	5.91340	−	1.79381i	0.196786	−	0.0596943i
$904$	−4.11784	−	2.46586i	−0.136957	−	0.0820133i
$905$	−7.47159	−	13.9784i	−0.248364	−	0.464656i
$906$	12.3255	−	2.87567i	0.409487	−	0.0955377i
$907$	6.39789	+	43.1311i	0.212438	+	1.43214i	0.788650	+	0.614842i	$0.210780\pi$
$907$	6.39789	+	43.1311i	0.212438	+	1.43214i	−0.576212	+	0.817301i	$0.695470\pi$
$908$	−10.4778	−	24.1515i	−0.347719	−	0.801494i
$909$	−0.231653	−	0.0828867i	−0.00768344	−	0.00274918i
$910$	10.2820	−	14.8604i	0.340846	−	0.492617i
$911$	9.87302	−	49.6350i	0.327108	−	1.64448i	−0.371104	−	0.928591i	$-0.621021\pi$
$911$	9.87302	−	49.6350i	0.327108	−	1.64448i	0.698212	−	0.715891i	$-0.253979\pi$
$912$	7.12723	+	9.93465i	0.236006	+	0.328969i
$913$	−9.45401	−	47.5285i	−0.312882	−	1.57297i
$914$	15.9394	−	36.7813i	0.527227	−	1.21662i
$915$	9.24545	−	10.2008i	0.305645	−	0.337228i
$916$	−10.1409	+	5.63925i	−0.335064	+	0.186326i
$917$	−26.9903	+	16.1773i	−0.891297	+	0.534223i
$918$	16.3908	+	15.3475i	0.540976	+	0.506542i
$919$	2.67778	+	27.1879i	0.0883317	+	0.896847i	0.932597	+	0.360920i	$0.117537\pi$
$919$	2.67778	+	27.1879i	0.0883317	+	0.896847i	−0.844265	+	0.535926i	$0.819963\pi$
$920$	0.464427	−	0.566375i	0.0153117	−	0.0186728i
$921$	−42.1479	+	34.5899i	−1.38882	+	1.13978i
$922$	9.95070	+	29.3008i	0.327709	+	0.964969i
$923$	−44.0569	−	48.6093i	−1.45015	−	1.60000i
$924$	18.5720	+	37.6346i	0.610975	+	1.23809i
$925$	−13.4614	+	9.98364i	−0.442608	+	0.328260i
$926$	−3.90191	−	7.59384i	−0.128225	−	0.249549i
$927$	0.144571	−	0.349026i	0.00474835	−	0.0114635i
$928$	2.16122	−	0.143126i	0.0709455	−	0.00469835i
$929$	−8.63369	−	20.8436i	−0.283262	−	0.683856i	0.716645	−	0.697438i	$-0.245677\pi$
$929$	−8.63369	−	20.8436i	−0.283262	−	0.683856i	−0.999908	+	0.0135819i	$0.995677\pi$
$930$	3.04532	−	3.59032i	0.0998601	−	0.117731i
$931$	9.59883	+	1.42385i	0.314589	+	0.0466649i
$932$	−48.9088	−	6.42546i	−1.60206	−	0.210473i
$933$	−43.6227	−	2.14304i	−1.42814	−	0.0701601i
$934$	−0.781958	+	11.9552i	−0.0255865	+	0.391187i
$935$	7.04510	+	0.693882i	0.230399	+	0.0226924i
$936$	1.31644	+	0.261299i	0.0430291	+	0.00854082i
$937$	11.4956	+	9.43416i	0.375544	+	0.308201i	0.803164	−	0.595758i	$-0.203148\pi$
$937$	11.4956	+	9.43416i	0.375544	+	0.308201i	−0.427621	+	0.903958i	$0.640648\pi$
$938$	51.0019	+	19.1878i	1.66527	+	0.626505i
$939$	49.3995	+	12.3739i	1.61209	+	0.403808i
$940$	2.50667	+	7.79426i	0.0817586	+	0.254221i
$941$	1.88798	+	38.4307i	0.0615463	+	1.25280i	0.808727	+	0.588184i	$0.200157\pi$
$941$	1.88798	+	38.4307i	0.0615463	+	1.25280i	−0.747181	+	0.664621i	$0.768593\pi$
$942$	−2.64246	−	2.72964i	−0.0860959	−	0.0889364i
$943$	−0.544227	+	0.814494i	−0.0177225	+	0.0265236i
$944$	−4.46421	+	38.9919i	−0.145298	+	1.26908i
$945$	−6.94582	−	10.3952i	−0.225948	−	0.338154i
$946$	4.95751	+	1.07001i	0.161182	+	0.0347892i
$947$	−10.2881	−	21.7525i	−0.334320	−	0.706860i	0.664876	−	0.746954i	$-0.268484\pi$
$947$	−10.2881	−	21.7525i	−0.334320	−	0.706860i	−0.999196	+	0.0400937i	$0.987234\pi$
$948$	−21.7865	−	31.4601i	−0.707591	−	1.02178i
$949$	65.4116	+	48.5126i	2.12335	+	1.57478i
$950$	11.3644	+	1.87468i	0.368710	+	0.0608228i
$951$	13.0218	−	42.9273i	0.422262	−	1.39201i
$952$	−29.7039	+	4.41851i	−0.962708	+	0.143205i
$953$	4.13069	−	7.72797i	0.133806	−	0.250334i	−0.806091	−	0.591792i	$-0.798421\pi$
$953$	4.13069	−	7.72797i	0.133806	−	0.250334i	0.939897	+	0.341458i	$0.110921\pi$
$954$	1.30104	+	0.348424i	0.0421227	+	0.0112806i
$955$	−11.0487	+	3.95328i	−0.357527	+	0.127925i
$956$	−27.4025	−	0.889621i	−0.886260	−	0.0287724i
$957$	1.95567	+	1.17218i	0.0632179	+	0.0378913i
$958$	−13.8393	−	48.4381i	−0.447129	−	1.56496i
$959$	38.3246	−	38.3246i	1.23757	−	1.23757i
$960$	5.83659	+	7.10011i	0.188375	+	0.229155i
$961$	−15.9835	−	15.9835i	−0.515598	−	0.515598i
$962$	13.6350	−	24.5429i	0.439610	−	0.791294i
$963$	−0.356926	+	0.595496i	−0.0115018	+	0.0191896i
$964$	6.49228	+	2.93949i	0.209102	+	0.0946746i
$965$	−3.03466	−	8.48129i	−0.0976890	−	0.273022i
$966$	−2.83237	+	1.63578i	−0.0911299	+	0.0526304i
$967$	4.92318	+	2.63149i	0.158319	+	0.0846232i	0.548653	−	0.836050i	$-0.315141\pi$
$967$	4.92318	+	2.63149i	0.158319	+	0.0846232i	−0.390335	+	0.920673i	$0.627641\pi$
$968$	−0.162101	+	3.32728i	−0.00521012	+	0.106943i
$969$	−8.81344	−	2.67353i	−0.283129	−	0.0858861i
$970$	−9.72342	−	13.5651i	−0.312200	−	0.435550i
$971$	−0.706901	+	0.953145i	−0.0226855	+	0.0305879i	−0.814405	−	0.580297i	$-0.802936\pi$
$971$	−0.706901	+	0.953145i	−0.0226855	+	0.0305879i	0.791719	+	0.610885i	$0.209186\pi$
$972$	0.991562	−	1.53878i	0.0318044	−	0.0493565i
$973$	19.3749	−	9.16365i	0.621131	−	0.293773i
$974$	−42.7720	+	27.5861i	−1.37050	+	0.883915i
$975$	−34.7446	+	23.2156i	−1.11272	+	0.743494i
$976$	−40.2701	+	25.9957i	−1.28902	+	0.832103i
$977$	−31.4908	−	21.0415i	−1.00748	−	0.673176i	−0.0617365	−	0.998092i	$-0.519664\pi$
$977$	−31.4908	−	21.0415i	−1.00748	−	0.673176i	−0.945743	+	0.324916i	$0.894664\pi$
$978$	0.410417	−	25.2903i	0.0131237	−	0.808696i
$979$	−34.6500	+	1.70225i	−1.10742	+	0.0544041i
$980$	7.27036	+	0.594150i	0.232243	+	0.0189794i
$981$	0.279943	−	1.11759i	0.00893788	−	0.0356820i
$982$	−45.4816	+	20.6149i	−1.45138	+	0.657848i
$983$	−15.3411	+	18.6932i	−0.489306	+	0.596222i	−0.957868	−	0.287209i	$-0.907272\pi$
$983$	−15.3411	+	18.6932i	−0.489306	+	0.596222i	0.468561	+	0.883431i	$0.344772\pi$
$984$	−8.69559	−	8.68851i	−0.277205	−	0.276980i
$985$	−0.327290	+	3.32303i	−0.0104283	+	0.105880i
$986$	−1.22651	+	1.07591i	−0.0390600	+	0.0342641i
$987$	1.79400	−	36.5176i	0.0571036	−	1.16237i
$988$	−18.6364	+	4.99904i	−0.592904	+	0.159041i
$989$	−0.0579975	+	0.390987i	−0.00184421	+	0.0124327i
$990$	−0.0239625	−	0.291757i	−0.000761580	−	0.00927264i
$991$	0.204415	−	0.0846717i	0.00649347	−	0.00268968i	−0.379434	−	0.925219i	$-0.623881\pi$
$991$	0.204415	−	0.0846717i	0.00649347	−	0.00268968i	0.385928	+	0.922529i	$0.373881\pi$
$992$	−13.4715	+	9.33732i	−0.427722	+	0.296460i
$993$	45.2941	+	18.7614i	1.43736	+	0.595375i
$994$	18.5610	−	57.7945i	0.588720	−	1.83313i
$995$	9.02275	+	12.1658i	0.286040	+	0.385681i
$996$	3.11249	+	47.2907i	0.0986229	+	1.49846i
$997$	12.5870	−	11.4081i	0.398633	−	0.361300i	−0.447489	−	0.894289i	$-0.647682\pi$
$997$	12.5870	−	11.4081i	0.398633	−	0.361300i	0.846122	+	0.532990i	$0.178932\pi$
$998$	−9.57464	−	4.72007i	−0.303080	−	0.149411i
$999$	−12.3226	−	15.0152i	−0.389871	−	0.475059i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	256.2.m.a.101.19	✓	992
256.109	even	64	inner	256.2.m.a.109.19	yes	992

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
256.2.m.a.101.19	✓	992	1.1	even	1	trivial
256.2.m.a.109.19	yes	992	256.109	even	64	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:	\( N \)	\(=\)	\( 256 = 2^{8} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	256.m (of order \(64\), degree \(32\), minimal)

\(f(q)\)	\(=\)	\(q+(0.161436 - 1.40497i) q^{2} +(-1.65529 + 0.414628i) q^{3} +(-1.94788 - 0.453624i) q^{4} +(0.608632 + 0.287862i) q^{5} +(0.315317 + 2.39257i) q^{6} +(-1.02291 - 3.37208i) q^{7} +(-0.951784 + 2.66348i) q^{8} +(-0.0776998 + 0.0415314i) q^{9} +O(q^{10})\)	\(q+(0.161436 - 1.40497i) q^{2} +(-1.65529 + 0.414628i) q^{3} +(-1.94788 - 0.453624i) q^{4} +(0.608632 + 0.287862i) q^{5} +(0.315317 + 2.39257i) q^{6} +(-1.02291 - 3.37208i) q^{7} +(-0.951784 + 2.66348i) q^{8} +(-0.0776998 + 0.0415314i) q^{9} +(0.502692 - 0.808639i) q^{10} +(-3.45190 + 0.512040i) q^{11} +(3.41238 - 0.0567662i) q^{12} +(-1.81445 + 5.07104i) q^{13} +(-4.90280 + 0.892782i) q^{14} +(-1.12682 - 0.224138i) q^{15} +(3.58845 + 1.76721i) q^{16} +(-2.95516 + 0.587819i) q^{17} +(0.0458069 + 0.115871i) q^{18} +(-1.32726 - 1.20295i) q^{19} +(-1.05496 - 0.836810i) q^{20} +(3.09137 + 5.15764i) q^{21} +(0.162142 + 4.93247i) q^{22} +(-0.382773 + 0.0376998i) q^{23} +(0.471125 - 4.80346i) q^{24} +(-2.88440 - 3.51465i) q^{25} +(6.83173 + 3.36789i) q^{26} +(3.90454 - 3.53886i) q^{27} +(0.462845 + 7.03241i) q^{28} +(0.228087 + 0.307540i) q^{29} +(-0.496816 + 1.54696i) q^{30} +(-2.67700 - 1.10885i) q^{31} +(3.06218 - 4.75637i) q^{32} +(5.50158 - 2.27883i) q^{33} +(0.348799 + 4.24681i) q^{34} +(0.348117 - 2.34681i) q^{35} +(0.170189 - 0.0456516i) q^{36} +(0.180868 - 3.68165i) q^{37} +(-1.90438 + 1.67055i) q^{38} +(0.900837 - 9.14635i) q^{39} +(-1.34600 + 1.34710i) q^{40} +(1.61571 - 1.96875i) q^{41} +(7.74538 - 3.51065i) q^{42} +(0.249702 - 0.996868i) q^{43} +(6.95614 + 0.568471i) q^{44} +(-0.0592459 + 0.00291057i) q^{45} +(-0.00882603 + 0.543870i) q^{46} +(-5.05559 - 3.37804i) q^{47} +(-6.67266 - 1.43737i) q^{48} +(-4.50429 + 3.00967i) q^{49} +(-5.40362 + 3.48510i) q^{50} +(4.64792 - 2.19830i) q^{51} +(5.83466 - 9.05468i) q^{52} +(6.43951 - 8.68268i) q^{53} +(-4.34166 - 6.05705i) q^{54} +(-2.24833 - 0.682024i) q^{55} +(9.95504 + 0.484998i) q^{56} +(2.69577 + 1.44092i) q^{57} +(0.468906 - 0.270808i) q^{58} +(3.30544 + 9.23810i) q^{59} +(2.09323 + 0.947745i) q^{60} +(-6.16047 + 10.2781i) q^{61} +(-1.99006 + 3.58210i) q^{62} +(0.219527 + 0.219527i) q^{63} +(-6.18821 - 5.07011i) q^{64} +(-2.56409 + 2.56409i) q^{65} +(-2.31353 - 8.09743i) q^{66} +(-9.37894 - 5.62152i) q^{67} +(6.02295 + 0.195535i) q^{68} +(0.617968 - 0.221112i) q^{69} +(-3.24100 - 0.867953i) q^{70} +(-5.74197 + 10.7425i) q^{71} +(-0.0366645 - 0.246481i) q^{72} +(4.38930 - 14.4696i) q^{73} +(-5.14340 - 0.848462i) q^{74} +(6.23178 + 4.62180i) q^{75} +(2.03964 + 2.94528i) q^{76} +(5.25761 + 11.1163i) q^{77} +(-12.7049 - 2.74219i) q^{78} +(-6.22944 - 9.32301i) q^{79} +(1.67534 + 2.10856i) q^{80} +(-4.84898 + 7.25701i) q^{81} +(-2.50519 - 2.58785i) q^{82} +(0.681384 + 13.8699i) q^{83} +(-3.68198 - 11.4488i) q^{84} +(-1.96782 - 0.492913i) q^{85} +(-1.36026 - 0.511754i) q^{86} +(-0.505065 - 0.414496i) q^{87} +(1.92165 - 9.68139i) q^{88} +(9.89344 + 0.974418i) q^{89} +(-0.00547515 + 0.0837086i) q^{90} +(18.9559 + 0.931246i) q^{91} +(0.762696 + 0.100200i) q^{92} +(4.89097 + 0.725507i) q^{93} +(-5.56219 + 6.55761i) q^{94} +(-0.461526 - 1.11422i) q^{95} +(-3.09666 + 9.14283i) q^{96} +(6.70796 - 16.1944i) q^{97} +(3.50134 + 6.81425i) q^{98} +(0.246946 - 0.183148i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9}+O(q^{10}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9	\( 992 q - 32 q^{2} - 32 q^{3} - 32 q^{4} - 32 q^{5} - 32 q^{6} - 32 q^{7} - 32 q^{8} - 32 q^{9} - 32 q^{10} - 32 q^{11} - 32 q^{12} - 32 q^{13} - 32 q^{14} - 32 q^{15} - 32 q^{16} - 32 q^{17} - 32 q^{18} - 32 q^{19} - 32 q^{20} - 32 q^{21} - 32 q^{22} - 32 q^{23} - 32 q^{24} - 32 q^{25} - 32 q^{26} - 32 q^{27} - 32 q^{28} - 32 q^{29} - 32 q^{30} - 32 q^{31} - 32 q^{32} - 32 q^{33} - 32 q^{34} - 32 q^{35} - 32 q^{36} - 32 q^{37} - 32 q^{38} - 32 q^{39} - 32 q^{40} - 32 q^{41} - 32 q^{42} - 32 q^{43} - 32 q^{44} - 32 q^{45} - 32 q^{46} - 32 q^{47} - 32 q^{48} - 32 q^{49} - 32 q^{50} - 32 q^{51} - 32 q^{52} - 32 q^{53} - 32 q^{54} - 32 q^{55} - 32 q^{56} - 32 q^{57} - 32 q^{58} - 32 q^{59} - 32 q^{60} - 32 q^{61} - 32 q^{62} - 32 q^{63} - 32 q^{64} - 32 q^{65} - 32 q^{66} - 32 q^{67} - 32 q^{68} - 32 q^{69} - 32 q^{70} - 32 q^{71} - 32 q^{72} - 32 q^{73} - 32 q^{74} - 32 q^{75} - 32 q^{76} - 32 q^{77} - 32 q^{78} - 32 q^{79} - 32 q^{80} - 32 q^{81} - 32 q^{82} - 32 q^{83} - 32 q^{84} - 32 q^{85} - 32 q^{86} - 32 q^{87} - 32 q^{88} - 32 q^{89} - 32 q^{90} - 32 q^{91} - 32 q^{92} - 32 q^{93} - 32 q^{94} - 32 q^{95} - 32 q^{96} - 32 q^{97} - 32 q^{98} - 32 q^{99}+O(q^{100}) \) 992 * q - 32 * q^2 - 32 * q^3 - 32 * q^4 - 32 * q^5 - 32 * q^6 - 32 * q^7 - 32 * q^8 - 32 * q^9 - 32 * q^10 - 32 * q^11 - 32 * q^12 - 32 * q^13 - 32 * q^14 - 32 * q^15 - 32 * q^16 - 32 * q^17 - 32 * q^18 - 32 * q^19 - 32 * q^20 - 32 * q^21 - 32 * q^22 - 32 * q^23 - 32 * q^24 - 32 * q^25 - 32 * q^26 - 32 * q^27 - 32 * q^28 - 32 * q^29 - 32 * q^30 - 32 * q^31 - 32 * q^32 - 32 * q^33 - 32 * q^34 - 32 * q^35 - 32 * q^36 - 32 * q^37 - 32 * q^38 - 32 * q^39 - 32 * q^40 - 32 * q^41 - 32 * q^42 - 32 * q^43 - 32 * q^44 - 32 * q^45 - 32 * q^46 - 32 * q^47 - 32 * q^48 - 32 * q^49 - 32 * q^50 - 32 * q^51 - 32 * q^52 - 32 * q^53 - 32 * q^54 - 32 * q^55 - 32 * q^56 - 32 * q^57 - 32 * q^58 - 32 * q^59 - 32 * q^60 - 32 * q^61 - 32 * q^62 - 32 * q^63 - 32 * q^64 - 32 * q^65 - 32 * q^66 - 32 * q^67 - 32 * q^68 - 32 * q^69 - 32 * q^70 - 32 * q^71 - 32 * q^72 - 32 * q^73 - 32 * q^74 - 32 * q^75 - 32 * q^76 - 32 * q^77 - 32 * q^78 - 32 * q^79 - 32 * q^80 - 32 * q^81 - 32 * q^82 - 32 * q^83 - 32 * q^84 - 32 * q^85 - 32 * q^86 - 32 * q^87 - 32 * q^88 - 32 * q^89 - 32 * q^90 - 32 * q^91 - 32 * q^92 - 32 * q^93 - 32 * q^94 - 32 * q^95 - 32 * q^96 - 32 * q^97 - 32 * q^98 - 32 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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