LMFDB - Embedded newform 805.2.bs.a.37.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [805,2,Mod(37,805)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(805, base_ring=CyclotomicField(132))

chi = DirichletCharacter(H, H._module([33, 44, 126]))

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

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

chi := DirichletCharacter("805.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 805 = 5 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	805.bs (of order $132$, degree $40$, 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:	$6.42795736271$
Analytic rank:	$0$
Dimension:	$3680$
Relative dimension:	$92$ over $\Q(\zeta_{132})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{132}]$

Embedding invariants

Embedding label			37.3
Character	$\chi$	$=$	805.37
Dual form			805.2.bs.a.718.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.26511 + 1.38065i) q^{2} +(1.14262 + 2.35218i) q^{3} +(2.30804 - 4.47698i) q^{4} +(1.24242 + 1.85914i) q^{5} +(-5.83570 - 3.75038i) q^{6} +(-1.39693 - 2.24691i) q^{7} +(0.574713 + 8.03553i) q^{8} +(-2.37270 + 3.01713i) q^{9} +O(q^{10})$	\(q+(-2.26511 + 1.38065i) q^{2} +(1.14262 + 2.35218i) q^{3} +(2.30804 - 4.47698i) q^{4} +(1.24242 + 1.85914i) q^{5} +(-5.83570 - 3.75038i) q^{6} +(-1.39693 - 2.24691i) q^{7} +(0.574713 + 8.03553i) q^{8} +(-2.37270 + 3.01713i) q^{9} +(-5.38104 - 2.49578i) q^{10} +(5.50297 - 1.33501i) q^{11} +(13.1679 + 0.313454i) q^{12} +(4.80230 + 1.79116i) q^{13} +(6.26639 + 3.16080i) q^{14} +(-2.95341 + 5.04668i) q^{15} +(-6.55269 - 9.20196i) q^{16} +(0.388424 + 0.427281i) q^{17} +(1.20880 - 10.1100i) q^{18} +(-0.253345 - 5.31837i) q^{19} +(11.1909 - 1.27133i) q^{20} +(3.68897 - 5.85319i) q^{21} +(-10.6216 + 10.6216i) q^{22} +(1.50201 + 4.55455i) q^{23} +(-18.2443 + 10.5334i) q^{24} +(-1.91277 + 4.61966i) q^{25} +(-13.3507 + 2.57313i) q^{26} +(-2.14215 - 0.465995i) q^{27} +(-13.2835 + 1.06807i) q^{28} +(0.0295149 - 0.0459261i) q^{29} +(-0.277943 - 15.5089i) q^{30} +(4.09100 + 0.788475i) q^{31} +(12.7360 + 5.45388i) q^{32} +(9.42797 + 11.4186i) q^{33} +(-1.46975 - 0.431557i) q^{34} +(2.44173 - 5.38869i) q^{35} +(8.03135 + 17.5862i) q^{36} +(-5.54745 + 0.663278i) q^{37} +(7.91668 + 11.6969i) q^{38} +(1.27405 + 13.3425i) q^{39} +(-14.2251 + 11.0520i) q^{40} +(0.139847 + 0.972657i) q^{41} +(-0.274684 + 18.3513i) q^{42} +(0.0729910 - 1.02055i) q^{43} +(6.72430 - 27.7179i) q^{44} +(-8.55715 - 0.662617i) q^{45} +(-9.69048 - 8.24278i) q^{46} +(9.41238 - 2.52204i) q^{47} +(14.1574 - 25.9274i) q^{48} +(-3.09718 + 6.27754i) q^{49} +(-2.04552 - 13.1049i) q^{50} +(-0.561221 + 1.40186i) q^{51} +(19.1029 - 17.3657i) q^{52} +(-4.84364 - 3.99925i) q^{53} +(5.49557 - 1.90203i) q^{54} +(9.31897 + 8.57213i) q^{55} +(17.2523 - 12.5164i) q^{56} +(12.2203 - 6.67278i) q^{57} +(-0.00344635 + 0.144777i) q^{58} +(-0.563989 - 0.401615i) q^{59} +(15.7773 + 24.8703i) q^{60} +(-4.57444 + 1.58323i) q^{61} +(-10.3552 + 3.86227i) q^{62} +(10.0937 + 1.11651i) q^{63} +(-14.0151 + 2.01506i) q^{64} +(2.63646 + 11.1535i) q^{65} +(-37.1204 - 12.8475i) q^{66} +(9.12453 - 0.217204i) q^{67} +(2.80943 - 0.752784i) q^{68} +(-8.99690 + 8.73713i) q^{69} +(1.90914 + 15.5771i) q^{70} +(-9.15816 + 2.68908i) q^{71} +(-25.6079 - 17.3319i) q^{72} +(-1.46667 + 0.468843i) q^{73} +(11.6498 - 9.16150i) q^{74} +(-13.0519 + 0.779326i) q^{75} +(-24.3950 - 11.1408i) q^{76} +(-10.6869 - 10.4997i) q^{77} +(-21.3072 - 28.4631i) q^{78} +(-3.38400 - 0.323133i) q^{79} +(8.96649 - 23.6151i) q^{80} +(1.36321 + 5.61923i) q^{81} +(-1.65967 - 2.01009i) q^{82} +(-3.14663 + 2.35553i) q^{83} +(-17.6903 - 30.0249i) q^{84} +(-0.311786 + 1.25300i) q^{85} +(1.24369 + 2.41242i) q^{86} +(0.141751 + 0.0169484i) q^{87} +(13.8901 + 43.4520i) q^{88} +(-4.18951 + 0.807461i) q^{89} +(20.2977 - 10.3136i) q^{90} +(-2.68389 - 13.2924i) q^{91} +(23.8574 + 3.78762i) q^{92} +(2.81982 + 10.5237i) q^{93} +(-17.8380 + 18.7079i) q^{94} +(9.57281 - 7.07866i) q^{95} +(1.72390 + 36.1891i) q^{96} +(-13.7866 - 10.3205i) q^{97} +(-1.65168 - 18.4954i) q^{98} +(-9.02899 + 19.7707i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8}+O(q^{10}) $ 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8	$ 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8} - 22 q^{10} - 44 q^{11} + 14 q^{12} - 72 q^{13} - 88 q^{15} - 196 q^{16} - 22 q^{17} - 62 q^{18} - 88 q^{20} - 88 q^{21} - 44 q^{23} - 30 q^{25} - 28 q^{26} - 48 q^{27} + 132 q^{28} - 22 q^{30} - 40 q^{31} - 50 q^{32} - 22 q^{33} - 40 q^{35} - 416 q^{36} - 110 q^{37} - 22 q^{38} - 22 q^{40} - 192 q^{41} - 264 q^{42} - 88 q^{43} - 44 q^{47} + 24 q^{48} - 44 q^{51} - 374 q^{52} - 22 q^{53} - 32 q^{55} - 220 q^{56} + 88 q^{57} - 58 q^{58} - 22 q^{60} - 220 q^{61} + 8 q^{62} - 44 q^{63} - 22 q^{65} - 44 q^{66} - 22 q^{67} - 96 q^{70} - 136 q^{71} - 46 q^{72} + 18 q^{73} - 34 q^{75} - 176 q^{76} - 116 q^{77} + 80 q^{78} + 176 q^{80} - 236 q^{81} - 2 q^{82} - 88 q^{83} - 448 q^{85} - 86 q^{87} - 110 q^{88} - 88 q^{90} - 228 q^{92} + 4 q^{93} - 236 q^{95} - 332 q^{96} - 88 q^{97} + 84 q^{98}+O(q^{100}) $ 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8 - 22 * q^10 - 44 * q^11 + 14 * q^12 - 72 * q^13 - 88 * q^15 - 196 * q^16 - 22 * q^17 - 62 * q^18 - 88 * q^20 - 88 * q^21 - 44 * q^23 - 30 * q^25 - 28 * q^26 - 48 * q^27 + 132 * q^28 - 22 * q^30 - 40 * q^31 - 50 * q^32 - 22 * q^33 - 40 * q^35 - 416 * q^36 - 110 * q^37 - 22 * q^38 - 22 * q^40 - 192 * q^41 - 264 * q^42 - 88 * q^43 - 44 * q^47 + 24 * q^48 - 44 * q^51 - 374 * q^52 - 22 * q^53 - 32 * q^55 - 220 * q^56 + 88 * q^57 - 58 * q^58 - 22 * q^60 - 220 * q^61 + 8 * q^62 - 44 * q^63 - 22 * q^65 - 44 * q^66 - 22 * q^67 - 96 * q^70 - 136 * q^71 - 46 * q^72 + 18 * q^73 - 34 * q^75 - 176 * q^76 - 116 * q^77 + 80 * q^78 + 176 * q^80 - 236 * q^81 - 2 * q^82 - 88 * q^83 - 448 * q^85 - 86 * q^87 - 110 * q^88 - 88 * q^90 - 228 * q^92 + 4 * q^93 - 236 * q^95 - 332 * q^96 - 88 * q^97 + 84 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/805\mathbb{Z}\right)^\times$.

$n$	$162$	$281$	$346$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{21}{22}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−2.26511	+	1.38065i	−1.60167	+	0.976270i	−0.620250	+	0.784404i	$0.712969\pi$
$2$	−2.26511	+	1.38065i	−1.60167	+	0.976270i	−0.981421	+	0.191866i	$0.938546\pi$
$3$	1.14262	+	2.35218i	0.659691	+	1.35803i	0.919775	+	0.392446i	$0.128371\pi$
$3$	1.14262	+	2.35218i	0.659691	+	1.35803i	−0.260084	+	0.965586i	$0.583750\pi$
$4$	2.30804	−	4.47698i	1.15402	−	2.23849i
$5$	1.24242	+	1.85914i	0.555628	+	0.831431i
$5$	1.24242	+	1.85914i	0.555628	+	0.831431i
$6$	−5.83570	−	3.75038i	−2.38241	−	1.53108i
$7$	−1.39693	−	2.24691i	−0.527990	−	0.849251i
$7$	−1.39693	−	2.24691i	−0.527990	−	0.849251i
$8$	0.574713	+	8.03553i	0.203192	+	2.84099i
$9$	−2.37270	+	3.01713i	−0.790899	+	1.00571i
$10$	−5.38104	−	2.49578i	−1.70163	−	0.789236i
$11$	5.50297	−	1.33501i	1.65921	−	0.402519i	0.706816	−	0.707397i	$-0.250131\pi$
$11$	5.50297	−	1.33501i	1.65921	−	0.402519i	0.952391	+	0.304878i	$0.0986157\pi$
$12$	13.1679	+	0.313454i	3.80124	+	0.0904864i
$13$	4.80230	+	1.79116i	1.33192	+	0.496779i	0.911779	−	0.410681i	$-0.134709\pi$
$13$	4.80230	+	1.79116i	1.33192	+	0.496779i	0.420138	+	0.907460i	$0.361982\pi$
$14$	6.26639	+	3.16080i	1.67476	+	0.844760i
$15$	−2.95341	+	5.04668i	−0.762567	+	1.30305i
$16$	−6.55269	−	9.20196i	−1.63817	−	2.30049i
$17$	0.388424	+	0.427281i	0.0942066	+	0.103631i	0.785238	−	0.619194i	$-0.212540\pi$
$17$	0.388424	+	0.427281i	0.0942066	+	0.103631i	−0.691032	+	0.722825i	$0.742843\pi$
$18$	1.20880	−	10.1100i	0.284916	−	2.38295i
$19$	−0.253345	−	5.31837i	−0.0581213	−	1.22012i	−0.819987	−	0.572382i	$-0.806019\pi$
$19$	−0.253345	−	5.31837i	−0.0581213	−	1.22012i	0.761866	−	0.647735i	$-0.224284\pi$
$20$	11.1909	−	1.27133i	2.50236	−	0.284279i
$21$	3.68897	−	5.85319i	0.804999	−	1.27727i
$22$	−10.6216	+	10.6216i	−2.26454	+	2.26454i
$23$	1.50201	+	4.55455i	0.313192	+	0.949690i
$23$	1.50201	+	4.55455i	0.313192	+	0.949690i
$24$	−18.2443	+	10.5334i	−3.72411	+	2.15012i
$25$	−1.91277	+	4.61966i	−0.382555	+	0.923933i
$26$	−13.3507	+	2.57313i	−2.61828	+	0.504633i
$27$	−2.14215	−	0.465995i	−0.412256	−	0.0896809i
$28$	−13.2835	+	1.06807i	−2.51035	+	0.201846i
$29$	0.0295149	−	0.0459261i	0.00548078	−	0.00852827i	−0.838502	−	0.544898i	$-0.816568\pi$
$29$	0.0295149	−	0.0459261i	0.00548078	−	0.00852827i	0.843983	+	0.536370i	$0.180205\pi$
$30$	−0.277943	−	15.5089i	−0.0507453	−	2.83153i
$31$	4.09100	+	0.788475i	0.734765	+	0.141614i	0.542889	−	0.839805i	$-0.317331\pi$
$31$	4.09100	+	0.788475i	0.734765	+	0.141614i	0.191876	+	0.981419i	$0.438543\pi$
$32$	12.7360	+	5.45388i	2.25143	+	0.964119i
$33$	9.42797	+	11.4186i	1.64120	+	1.98772i
$34$	−1.46975	−	0.431557i	−0.252060	−	0.0740114i
$35$	2.44173	−	5.38869i	0.412727	−	0.910855i
$36$	8.03135	+	17.5862i	1.33856	+	2.93103i
$37$	−5.54745	+	0.663278i	−0.911995	+	0.109042i	−0.561457	−	0.827506i	$-0.689759\pi$
$37$	−5.54745	+	0.663278i	−0.911995	+	0.109042i	−0.350538	+	0.936548i	$0.614001\pi$
$38$	7.91668	+	11.6969i	1.28425	+	1.89748i
$39$	1.27405	+	13.3425i	0.204012	+	2.13651i
$40$	−14.2251	+	11.0520i	−2.24919	+	1.74747i
$41$	0.139847	+	0.972657i	0.0218404	+	0.151903i	0.997823	−	0.0659435i	$-0.0210057\pi$
$41$	0.139847	+	0.972657i	0.0218404	+	0.151903i	−0.975983	+	0.217847i	$0.930097\pi$
$42$	−0.274684	+	18.3513i	−0.0423846	+	2.83166i
$43$	0.0729910	−	1.02055i	0.0111310	−	0.155632i	−0.988847	−	0.148938i	$-0.952415\pi$
$43$	0.0729910	−	1.02055i	0.0111310	−	0.155632i	0.999978	−	0.00669425i	$-0.00213086\pi$
$44$	6.72430	−	27.7179i	1.01373	−	4.17864i
$45$	−8.55715	−	0.662617i	−1.27562	−	0.0987772i
$46$	−9.69048	−	8.24278i	−1.42878	−	1.21533i
$47$	9.41238	−	2.52204i	1.37294	−	0.367877i	0.504386	−	0.863478i	$-0.331719\pi$
$47$	9.41238	−	2.52204i	1.37294	−	0.367877i	0.868550	+	0.495601i	$0.165052\pi$
$48$	14.1574	−	25.9274i	2.04345	−	3.74230i
$49$	−3.09718	+	6.27754i	−0.442454	+	0.896791i
$50$	−2.04552	−	13.1049i	−0.289281	−	1.85331i
$51$	−0.561221	+	1.40186i	−0.0785866	+	0.196300i
$52$	19.1029	−	17.3657i	2.64910	−	2.40819i
$53$	−4.84364	−	3.99925i	−0.665326	−	0.549339i	0.241733	−	0.970343i	$-0.422284\pi$
$53$	−4.84364	−	3.99925i	−0.665326	−	0.549339i	−0.907059	+	0.421004i	$0.861678\pi$
$54$	5.49557	−	1.90203i	0.747852	−	0.258834i
$55$	9.31897	+	8.57213i	1.25657	+	1.15587i
$56$	17.2523	−	12.5164i	2.30543	−	1.67257i
$57$	12.2203	−	6.67278i	1.61862	−	0.883831i
$58$	−0.00344635	+	0.144777i	−0.000452527	+	0.0190102i
$59$	−0.563989	−	0.401615i	−0.0734251	−	0.0522858i	0.542755	−	0.839891i	$-0.317381\pi$
$59$	−0.563989	−	0.401615i	−0.0734251	−	0.0522858i	−0.616180	+	0.787605i	$0.711321\pi$
$60$	15.7773	+	24.8703i	2.03684	+	3.21075i
$61$	−4.57444	+	1.58323i	−0.585696	+	0.202712i	−0.603815	−	0.797124i	$-0.706354\pi$
$61$	−4.57444	+	1.58323i	−0.585696	+	0.202712i	0.0181187	+	0.999836i	$0.494232\pi$
$62$	−10.3552	+	3.86227i	−1.31511	+	0.490509i
$63$	10.0937	+	1.11651i	1.27169	+	0.140667i
$64$	−14.0151	+	2.01506i	−1.75188	+	0.251883i
$65$	2.63646	+	11.1535i	0.327013	+	1.38342i
$66$	−37.1204	−	12.8475i	−4.56921	−	1.58142i
$67$	9.12453	−	0.217204i	1.11474	−	0.0265357i	0.537614	−	0.843191i	$-0.319326\pi$
$67$	9.12453	−	0.217204i	1.11474	−	0.0265357i	0.577125	+	0.816656i	$0.304174\pi$
$68$	2.80943	−	0.752784i	0.340693	−	0.0912885i
$69$	−8.99690	+	8.73713i	−1.08310	+	1.05183i
$70$	1.90914	+	15.5771i	0.228186	+	1.86182i
$71$	−9.15816	+	2.68908i	−1.08687	+	0.319135i	−0.775625	−	0.631194i	$-0.782565\pi$
$71$	−9.15816	+	2.68908i	−1.08687	+	0.319135i	−0.311248	+	0.950329i	$0.600747\pi$
$72$	−25.6079	−	17.3319i	−3.01792	−	2.04258i
$73$	−1.46667	+	0.468843i	−0.171661	+	0.0548739i	−0.389078	−	0.921205i	$-0.627206\pi$
$73$	−1.46667	+	0.468843i	−0.171661	+	0.0548739i	0.217418	+	0.976079i	$0.430237\pi$
$74$	11.6498	−	9.16150i	1.35426	−	1.06500i
$75$	−13.0519	+	0.779326i	−1.50710	+	0.0899888i
$76$	−24.3950	−	11.1408i	−2.79829	−	1.27794i
$77$	−10.6869	−	10.4997i	−1.21788	−	1.19656i
$78$	−21.3072	−	28.4631i	−2.41257	−	3.22281i
$79$	−3.38400	−	0.323133i	−0.380730	−	0.0363553i	−0.0970630	−	0.995278i	$-0.530945\pi$
$79$	−3.38400	−	0.323133i	−0.380730	−	0.0363553i	−0.283667	+	0.958923i	$0.591551\pi$
$80$	8.96649	−	23.6151i	1.00248	−	2.64024i
$81$	1.36321	+	5.61923i	0.151468	+	0.624359i
$82$	−1.65967	−	2.01009i	−0.183280	−	0.221977i
$83$	−3.14663	+	2.35553i	−0.345387	+	0.258554i	−0.757861	−	0.652416i	$-0.773756\pi$
$83$	−3.14663	+	2.35553i	−0.345387	+	0.258554i	0.412474	+	0.910969i	$0.364665\pi$
$84$	−17.6903	−	30.0249i	−1.93017	−	3.27598i
$85$	−0.311786	+	1.25300i	−0.0338180	+	0.135906i
$86$	1.24369	+	2.41242i	0.134111	+	0.260138i
$87$	0.141751	+	0.0169484i	0.0151973	+	0.00181706i
$88$	13.8901	+	43.4520i	1.48069	+	4.63200i
$89$	−4.18951	+	0.807461i	−0.444087	+	0.0855907i	−0.406393	−	0.913699i	$-0.633213\pi$
$89$	−4.18951	+	0.807461i	−0.444087	+	0.0855907i	−0.0376944	+	0.999289i	$0.512001\pi$
$90$	20.2977	−	10.3136i	2.13956	−	1.08714i
$91$	−2.68389	−	13.2924i	−0.281348	−	1.39343i
$92$	23.8574	+	3.78762i	2.48730	+	0.394887i
$93$	2.81982	+	10.5237i	0.292401	+	1.09126i
$94$	−17.8380	+	18.7079i	−1.83985	+	1.92958i
$95$	9.57281	−	7.07866i	0.982149	−	0.726255i
$96$	1.72390	+	36.1891i	0.175945	+	3.69354i
$97$	−13.7866	−	10.3205i	−1.39981	−	1.04789i	−0.990797	−	0.135360i	$-0.956781\pi$
$97$	−13.7866	−	10.3205i	−1.39981	−	1.04789i	−0.409016	−	0.912527i	$-0.634128\pi$
$98$	−1.65168	−	18.4954i	−0.166845	−	1.86832i
$99$	−9.02899	+	19.7707i	−0.907448	+	1.98703i
$100$	16.2674	+	19.2258i	1.62674	+	1.92258i
$101$	11.2904	−	4.52000i	1.12344	−	0.449757i	0.265809	−	0.964026i	$-0.414361\pi$
$101$	11.2904	−	4.52000i	1.12344	−	0.449757i	0.857629	+	0.514269i	$0.171937\pi$
$102$	−0.664262	−	3.95022i	−0.0657717	−	0.391130i
$103$	−9.73918	−	0.231836i	−0.959630	−	0.0228434i	−0.458937	−	0.888469i	$-0.651770\pi$
$103$	−9.73918	−	0.231836i	−0.959630	−	0.0228434i	−0.500692	+	0.865625i	$0.666921\pi$
$104$	−11.6330	+	39.6184i	−1.14071	+	3.88490i
$105$	15.4651	−	0.413831i	1.50924	−	0.0403857i
$106$	16.4929	+	2.37133i	1.60194	+	0.230324i
$107$	−12.9280	−	6.28004i	−1.24980	−	0.607114i	−0.310616	−	0.950536i	$-0.600535\pi$
$107$	−12.9280	−	6.28004i	−1.24980	−	0.607114i	−0.939181	+	0.343422i	$0.888414\pi$
$108$	−7.03042	+	8.51481i	−0.676503	+	0.819338i
$109$	0.604453	−	12.6890i	0.0578961	−	1.21539i	−0.763796	−	0.645457i	$-0.776667\pi$
$109$	0.604453	−	12.6890i	0.0578961	−	1.21539i	0.821692	−	0.569931i	$-0.193030\pi$
$110$	−32.9436	−	6.55050i	−3.14105	−	0.624566i
$111$	−7.89877	−	12.2907i	−0.749718	−	1.16658i
$112$	−11.5223	+	27.5778i	−1.08876	+	2.60585i
$113$	−1.39610	−	0.762328i	−0.131334	−	0.0717138i	0.412239	−	0.911076i	$-0.364747\pi$
$113$	−1.39610	−	0.762328i	−0.131334	−	0.0717138i	−0.543573	+	0.839362i	$0.682929\pi$
$114$	−18.4674	+	31.9865i	−1.72963	+	2.99581i
$115$	−6.60140	+	8.45113i	−0.615583	+	0.788072i
$116$	−0.137489	−	0.238137i	−0.0127655	−	0.0221105i
$117$	−16.7986	+	10.2393i	−1.55303	+	0.946620i
$118$	1.83199	+	0.131026i	0.168648	+	0.0120619i
$119$	0.417459	−	1.46963i	0.0382684	−	0.134721i
$120$	−42.2502	−	20.8318i	−3.85689	−	1.90168i
$121$	18.7232	−	9.65250i	1.70211	−	0.877500i
$122$	8.17569	−	9.90189i	0.740192	−	0.896475i
$123$	−2.12807	+	1.44032i	−0.191882	+	0.129869i
$124$	12.9722	−	16.4955i	1.16494	−	1.48134i
$125$	−10.9651	+	2.18347i	−0.980744	+	0.195295i
$126$	−24.4048	+	11.4069i	−2.17415	+	1.01621i
$127$	1.92007	+	3.51634i	0.170378	+	0.312025i	0.948891	−	0.315604i	$-0.102207\pi$
$127$	1.92007	+	3.51634i	0.170378	+	0.312025i	−0.778513	+	0.627629i	$0.784025\pi$
$128$	7.59632	−	6.27205i	0.671426	−	0.554376i
$129$	2.48391	−	0.994408i	0.218696	−	0.0875528i
$130$	−21.3710	−	21.6238i	−1.87436	−	1.89653i
$131$	−6.97887	−	9.80046i	−0.609747	−	0.856270i	0.388116	−	0.921611i	$-0.373126\pi$
$131$	−6.97887	−	9.80046i	−0.609747	−	0.856270i	−0.997863	+	0.0653407i	$0.979187\pi$
$132$	72.8809	−	15.8543i	6.34347	−	1.37994i
$133$	−11.5960	+	7.99863i	−1.00550	+	0.693569i
$134$	−20.3681	+	13.0898i	−1.75954	+	1.13079i
$135$	−1.79510	−	4.56150i	−0.154498	−	0.392592i
$136$	−3.21020	+	3.36676i	−0.275272	+	0.288697i
$137$	−1.19335	−	0.319757i	−0.101955	−	0.0273187i	0.207481	−	0.978239i	$-0.433473\pi$
$137$	−1.19335	−	0.319757i	−0.101955	−	0.0273187i	−0.309436	+	0.950920i	$0.600140\pi$
$138$	8.31598	−	32.2121i	0.707903	−	2.74208i
$139$		−	6.05304i		−	0.513413i	−0.966489	−	0.256706i	$-0.917363\pi$
$139$		−	6.05304i		−	0.513413i	0.966489	−	0.256706i	$-0.0826373\pi$
$140$	−18.4894	−	23.3689i	−1.56264	−	1.97503i
$141$	16.6871	+	19.2579i	1.40530	+	1.62181i
$142$	17.0315	−	18.7353i	1.42925	−	1.57223i
$143$	28.8181	+	3.44563i	2.40989	+	0.288138i
$144$	43.3110	+	2.06316i	3.60925	+	0.171930i
$145$	0.122053	−	0.00218738i	0.0101359	−	0.000181652i
$146$	2.67485	−	3.08694i	0.221372	−	0.255477i
$147$	−18.3048	−	0.112284i	−1.50975	−	0.00926100i
$148$	−9.83427	+	26.3667i	−0.808372	+	2.16733i
$149$	12.7219	−	12.1303i	1.04222	−	0.993754i	0.0422333	−	0.999108i	$-0.486553\pi$
$149$	12.7219	−	12.1303i	1.04222	−	0.993754i	0.999986	+	0.00535404i	$0.00170425\pi$
$150$	28.4878	−	19.7853i	2.32602	−	1.61547i
$151$	−8.36184	+	11.7426i	−0.680477	+	0.955596i	0.319491	+	0.947589i	$0.396488\pi$
$151$	−8.36184	+	11.7426i	−0.680477	+	0.955596i	−0.999968	+	0.00800655i	$0.997451\pi$
$152$	42.5903	−	5.09229i	3.45453	−	0.413040i
$153$	−2.21077	+	0.158118i	−0.178730	+	0.0127831i
$154$	38.7035	+	9.02813i	3.11881	+	0.727508i
$155$	3.61687	+	8.58534i	0.290514	+	0.689591i
$156$	62.6746	+	25.0911i	5.01799	+	2.00890i
$157$	−7.29366	+	2.33153i	−0.582097	+	0.186076i	−0.580973	−	0.813923i	$-0.697328\pi$
$157$	−7.29366	+	2.33153i	−0.582097	+	0.186076i	−0.00112474	+	0.999999i	$0.500358\pi$
$158$	8.11125	−	3.94020i	0.645296	−	0.313466i
$159$	3.87252	−	15.9627i	0.307111	−	1.26593i
$160$	5.68401	+	30.4540i	0.449360	+	2.40760i
$161$	8.13545	−	9.73727i	0.641163	−	0.767405i
$162$	−10.8460	−	10.8460i	−0.852144	−	0.852144i
$163$	5.24498	+	8.60493i	0.410819	+	0.673990i	0.989978	−	0.141224i	$-0.0451038\pi$
$163$	5.24498	+	8.60493i	0.410819	+	0.673990i	−0.579159	+	0.815215i	$0.696619\pi$
$164$	4.67734	+	1.61884i	0.365239	+	0.126410i
$165$	−9.51516	+	31.7146i	−0.740754	+	2.46898i
$166$	3.87526	−	9.67994i	0.300779	−	0.751309i
$167$	1.93293	+	8.88556i	0.149575	+	0.687585i	0.989458	+	0.144818i	$0.0462597\pi$
$167$	1.93293	+	8.88556i	0.149575	+	0.687585i	−0.839883	+	0.542767i	$0.817377\pi$
$168$	49.1536	+	26.2789i	3.79228	+	2.02746i
$169$	10.0290	+	8.69021i	0.771464	+	0.668478i
$170$	−1.02372	−	3.26864i	−0.0785161	−	0.250693i
$171$	16.6473	+	11.8545i	1.27305	+	0.906536i
$172$	−4.40051	−	2.68225i	−0.335535	−	0.204520i
$173$	0.374104	−	15.7157i	0.0284426	−	1.19484i	−0.787352	−	0.616503i	$-0.788549\pi$
$173$	0.374104	−	15.7157i	0.0284426	−	1.19484i	0.815795	−	0.578341i	$-0.196300\pi$
$174$	−0.344480	+	0.157319i	−0.0261150	+	0.0119263i
$175$	13.0520	−	2.15552i	0.986636	−	0.162942i
$176$	−48.3439	−	41.8902i	−3.64406	−	3.15759i
$177$	0.300246	−	1.78550i	0.0225679	−	0.134206i
$178$	8.37485	−	7.61324i	0.627722	−	0.570637i
$179$	7.88156	+	10.0222i	0.589095	+	0.749095i	0.985629	−	0.168925i	$-0.0540295\pi$
$179$	7.88156	+	10.0222i	0.589095	+	0.749095i	−0.396534	+	0.918020i	$0.629787\pi$
$180$	−22.7168	+	36.7808i	−1.69321	+	2.74148i
$181$	1.18194	−	1.02416i	0.0878531	−	0.0761251i	−0.609827	−	0.792534i	$-0.708761\pi$
$181$	1.18194	−	1.02416i	0.0878531	−	0.0761251i	0.697680	+	0.716409i	$0.254216\pi$
$182$	24.4316	+	26.4033i	1.81099	+	1.95714i
$183$	−8.95087	−	8.95087i	−0.661667	−	0.661667i
$184$	−35.7350	+	14.6870i	−2.63442	+	1.08274i
$185$	−8.12540	−	9.48939i	−0.597391	−	0.697674i
$186$	−20.9168	−	19.9441i	−1.53369	−	1.46237i
$187$	2.70791	+	1.83276i	0.198022	+	0.134025i
$188$	10.4331	−	47.9600i	0.760910	−	3.49785i
$189$	1.94538	+	5.46416i	0.141506	+	0.397459i
$190$	−11.9102	+	29.2506i	−0.864059	+	2.12206i
$191$	−20.2971	+	14.4535i	−1.46865	+	1.04582i	−0.483260	+	0.875477i	$0.660547\pi$
$191$	−20.2971	+	14.4535i	−1.46865	+	1.04582i	−0.985385	+	0.170340i	$0.945513\pi$
$192$	−20.7537	−	30.6635i	−1.49777	−	2.21295i
$193$	0.717164	−	1.67474i	0.0516226	−	0.120550i	−0.891471	−	0.453078i	$-0.850326\pi$
$193$	0.717164	−	1.67474i	0.0516226	−	0.120550i	0.943093	+	0.332528i	$0.107902\pi$
$194$	45.4770	+	4.34253i	3.26506	+	0.311775i
$195$	−23.2226	+	18.9456i	−1.66300	+	1.35673i
$196$	20.9560	+	28.3548i	1.49686	+	2.02535i
$197$	−5.18347	+	13.8974i	−0.369307	+	0.990150i	0.610818	+	0.791771i	$0.290841\pi$
$197$	−5.18347	+	13.8974i	−0.369307	+	0.990150i	−0.980125	+	0.198379i	$0.936432\pi$
$198$	−6.84492	−	57.2487i	−0.486447	−	4.06849i
$199$	19.3411	+	3.72770i	1.37106	+	0.264249i	0.821024	−	0.570894i	$-0.193403\pi$
$199$	19.3411	+	3.72770i	1.37106	+	0.264249i	0.550033	+	0.835143i	$0.314615\pi$
$200$	−38.2208	−	12.7152i	−2.70262	−	0.899099i
$201$	10.9368	+	21.2144i	0.771420	+	1.49635i
$202$	−19.3334	+	25.8264i	−1.36029	+	1.81714i
$203$	−0.144422	−	0.00216172i	−0.0101364	−	0.000151723i
$204$	4.98079	+	5.74814i	0.348725	+	0.402450i
$205$	−1.63455	+	1.46844i	−0.114162	+	0.102561i
$206$	22.3803	−	12.9213i	1.55931	−	0.900270i
$207$	−17.3055	−	6.27480i	−1.20282	−	0.436129i
$208$	−14.9857	−	55.9275i	−1.03907	−	3.87787i
$209$	−8.49420	−	28.9286i	−0.587556	−	2.00103i
$210$	−34.4588	+	22.2894i	−2.37788	+	1.53811i
$211$	4.49807	−	2.89073i	0.309660	−	0.199006i	−0.376575	−	0.926386i	$-0.622898\pi$
$211$	4.49807	−	2.89073i	0.309660	−	0.199006i	0.686235	+	0.727380i	$0.259262\pi$
$212$	−29.0839	+	12.4545i	−1.99749	+	0.855376i
$213$	−16.7895	−	18.4690i	−1.15040	−	1.26548i
$214$	37.9538	−	3.62415i	2.59447	−	0.247742i
$215$	1.98802	−	1.13225i	0.135582	−	0.0772188i
$216$	2.51340	−	17.4811i	0.171015	−	1.18944i
$217$	−3.94321	−	10.2935i	−0.267682	−	0.698771i
$218$	16.1500	+	29.5765i	1.09382	+	2.00318i
$219$	−2.77865	−	2.91416i	−0.187763	−	0.196921i
$220$	59.8859	−	21.9360i	4.03750	−	1.47893i
$221$	1.10000	+	2.74766i	0.0739938	+	0.184828i
$222$	34.8608	+	16.9343i	2.33970	+	1.13656i
$223$	−1.33514	−	3.57964i	−0.0894074	−	0.239711i	0.884548	−	0.466448i	$-0.154467\pi$
$223$	−1.33514	−	3.57964i	−0.0894074	−	0.239711i	−0.973956	+	0.226738i	$0.927194\pi$
$224$	−5.53696	−	36.2353i	−0.369954	−	2.42107i
$225$	−9.39969	−	16.7322i	−0.626646	−	1.11548i
$226$	4.21482	−	0.200777i	0.280366	−	0.0133555i
$227$	10.5065	+	21.6286i	0.697342	+	1.43554i	0.890784	+	0.454427i	$0.150156\pi$
$227$	10.5065	+	21.6286i	0.697342	+	1.43554i	−0.193442	+	0.981112i	$0.561965\pi$
$228$	−1.66895	−	70.1110i	−0.110529	−	4.64322i
$229$	−6.04520	+	10.4706i	−0.399478	+	0.691917i	−0.993662	−	0.112413i	$-0.964142\pi$
$229$	−6.04520	+	10.4706i	−0.399478	+	0.691917i	0.594183	+	0.804330i	$0.297475\pi$
$230$	3.28478	−	28.2569i	0.216592	−	1.86321i
$231$	12.4863	−	37.1347i	0.821535	−	2.44328i
$232$	0.386003	+	0.210774i	0.0253424	+	0.0138380i
$233$	5.07727	−	7.50167i	0.332623	−	0.491450i	−0.624543	−	0.780991i	$-0.714715\pi$
$233$	5.07727	−	7.50167i	0.332623	−	0.491450i	0.957166	+	0.289540i	$0.0935024\pi$
$234$	23.9137	−	46.3860i	1.56328	−	3.03235i
$235$	16.3830	+	14.3655i	1.06871	+	0.937099i
$236$	−3.09974	+	1.59802i	−0.201776	+	0.104023i
$237$	−3.10655	−	8.32899i	−0.201792	−	0.541026i
$238$	1.08347	+	3.90524i	0.0702307	+	0.253139i
$239$	20.7498	+	2.98337i	1.34219	+	0.192978i	0.775707	−	0.631094i	$-0.217394\pi$
$239$	20.7498	+	2.98337i	1.34219	+	0.192978i	0.566485	+	0.824072i	$0.308303\pi$
$240$	65.7921	−	5.89220i	4.24686	−	0.380340i
$241$	−20.7960	+	5.04505i	−1.33959	+	0.324980i	−0.840613	−	0.541636i	$-0.817805\pi$
$241$	−20.7960	+	5.04505i	−1.33959	+	0.324980i	−0.498975	+	0.866617i	$0.666290\pi$
$242$	−29.0833	+	47.7142i	−1.86955	+	3.06719i
$243$	−16.7313	+	13.8145i	−1.07331	+	0.886200i
$244$	−3.46992	+	24.1338i	−0.222139	+	1.54501i
$245$	−15.5188	+	2.04128i	−0.991460	+	0.130413i
$246$	2.83172	−	6.20061i	0.180544	−	0.395336i
$247$	8.30943	−	25.9942i	0.528716	−	1.65397i
$248$	−3.98467	+	33.3265i	−0.253027	+	2.11623i
$249$	−9.13604	−	4.70995i	−0.578973	−	0.298481i
$250$	21.8224	−	20.0847i	1.38017	−	1.27027i
$251$	−1.57856	−	5.37609i	−0.0996379	−	0.339336i	0.894554	−	0.446961i	$-0.147494\pi$
$251$	−1.57856	−	5.37609i	−0.0996379	−	0.339336i	−0.994192	+	0.107625i	$0.965675\pi$
$252$	28.2953	−	42.6124i	1.78244	−	2.68433i
$253$	14.3459	+	23.0584i	0.901919	+	1.44967i
$254$	−9.20400	−	5.31393i	−0.577510	−	0.333426i
$255$	−3.30352	+	0.698319i	−0.206875	+	0.0437304i
$256$	0.715093	−	2.06613i	0.0446933	−	0.129133i
$257$	−13.3906	+	14.7302i	−0.835285	+	0.918845i	−0.997694	−	0.0678787i	$-0.978377\pi$
$257$	−13.3906	+	14.7302i	−0.835285	+	0.918845i	0.162408	+	0.986724i	$0.448074\pi$
$258$	−4.25339	+	5.68186i	−0.264804	+	0.353737i
$259$	9.23972	+	11.5380i	0.574128	+	0.716939i
$260$	56.0191	+	13.9394i	3.47416	+	0.864484i
$261$	0.0685351	+	0.198019i	0.00424222	+	0.0122571i
$262$	29.3389	+	12.5637i	1.81256	+	0.776185i
$263$	−2.42042	+	0.407014i	−0.149250	+	0.0250976i	−0.239979	−	0.970778i	$-0.577141\pi$
$263$	−2.42042	+	0.407014i	−0.149250	+	0.0250976i	0.0907297	+	0.995876i	$0.471080\pi$
$264$	−86.3359	+	82.3211i	−5.31361	+	5.06652i
$265$	1.41730	−	13.9737i	0.0870639	−	0.858401i
$266$	15.2228	−	34.1277i	0.933367	−	2.09251i
$267$	−6.68630	−	8.93186i	−0.409195	−	0.546621i
$268$	20.0874	−	41.3517i	1.22703	−	2.52596i
$269$	0.229787	+	2.40644i	0.0140104	+	0.146723i	0.999770	−	0.0214360i	$-0.00682383\pi$
$269$	0.229787	+	2.40644i	0.0140104	+	0.146723i	−0.985760	+	0.168159i	$0.946218\pi$
$270$	10.3640	+	7.85387i	0.630730	+	0.477972i
$271$	−11.5965	−	4.64255i	−0.704438	−	0.282015i	−0.00834432	−	0.999965i	$-0.502656\pi$
$271$	−11.5965	−	4.64255i	−0.704438	−	0.282015i	−0.696094	+	0.717951i	$0.745080\pi$
$272$	1.38660	−	6.37410i	0.0840750	−	0.386486i
$273$	28.1995	−	21.5012i	1.70671	−	1.30131i
$274$	3.14454	−	0.923320i	0.189968	−	0.0557798i
$275$	−4.35865	+	27.9754i	−0.262837	+	1.68698i
$276$	18.3507	+	60.4446i	1.10458	+	3.63834i
$277$	6.37550	−	23.7937i	0.383066	−	1.42962i	−0.458126	−	0.888887i	$-0.651479\pi$
$277$	6.37550	−	23.7937i	0.383066	−	1.42962i	0.841192	−	0.540736i	$-0.181854\pi$
$278$	8.35716	+	13.7108i	0.501229	+	0.822318i
$279$	−12.0856	+	10.4723i	−0.723548	+	0.626958i
$280$	44.7043	+	16.5236i	2.67159	+	0.987476i
$281$	16.9877	−	2.44247i	1.01340	−	0.145705i	0.384447	−	0.923147i	$-0.374392\pi$
$281$	16.9877	−	2.44247i	1.01340	−	0.145705i	0.628955	+	0.777442i	$0.283483\pi$
$282$	−64.3864	−	20.5821i	−3.83415	−	1.22565i
$283$	−18.5697	−	15.3324i	−1.10385	−	0.911417i	−0.107286	−	0.994228i	$-0.534216\pi$
$283$	−18.5697	−	15.3324i	−1.10385	−	0.911417i	−0.996565	+	0.0828115i	$0.973610\pi$
$284$	−9.09848	+	47.2074i	−0.539896	+	2.80124i
$285$	27.5883	+	14.4288i	1.63419	+	0.854686i
$286$	−70.0333	+	31.9831i	−4.14115	+	1.89120i
$287$	1.99011	−	1.67296i	0.117473	−	0.0987514i
$288$	−46.6738	+	25.4858i	−2.75028	+	1.50177i
$289$	1.58426	−	16.5911i	0.0931916	−	0.975947i
$290$	−0.273443	+	0.173467i	−0.0160571	+	0.0101864i
$291$	8.52287	−	44.2208i	0.499619	−	2.59227i
$292$	−1.28613	+	7.64836i	−0.0752653	+	0.447586i
$293$	0.0198743	+	0.0913605i	0.00116107	+	0.00533734i	0.977724	−	0.209896i	$-0.0673125\pi$
$293$	0.0198743	+	0.0913605i	0.00116107	+	0.00533734i	−0.976563	+	0.215233i	$0.930949\pi$
$294$	41.6173	−	25.0183i	2.42717	−	1.45909i
$295$	0.0459440	−	1.54751i	0.00267496	−	0.0900994i
$296$	−8.51798	−	44.1955i	−0.495098	−	2.56881i
$297$	−12.4103	+	0.295420i	−0.720117	+	0.0171420i
$298$	−12.0687	+	45.0410i	−0.699121	+	2.60915i
$299$	−0.944832	+	24.5627i	−0.0546411	+	1.42050i
$300$	−26.6352	+	60.2316i	−1.53779	+	3.47748i
$301$	−2.39504	+	1.26163i	−0.138048	+	0.0727191i
$302$	2.72804	−	38.1429i	0.156981	−	2.19488i
$303$	23.5325	+	21.3924i	1.35191	+	1.22896i
$304$	−47.2793	+	37.1809i	−2.71165	+	2.13247i
$305$	−8.62682	−	6.53746i	−0.493970	−	0.374334i
$306$	4.78933	−	3.41047i	0.273788	−	0.194963i
$307$	8.61145	−	0.615903i	0.491481	−	0.0351514i	0.176601	−	0.984283i	$-0.443490\pi$
$307$	8.61145	−	0.615903i	0.491481	−	0.0351514i	0.314881	+	0.949131i	$0.398035\pi$
$308$	−71.6730	+	23.6111i	−4.08395	+	1.34537i
$309$	−10.5828	−	23.1732i	−0.602037	−	1.31828i
$310$	−20.0460	−	14.4531i	−1.13853	−	0.820879i
$311$	2.69121	+	11.0933i	0.152605	+	0.629045i	0.995809	+	0.0914527i	$0.0291510\pi$
$311$	2.69121	+	11.0933i	0.152605	+	0.629045i	−0.843205	+	0.537593i	$0.819334\pi$
$312$	−106.482	+	17.9058i	−6.02834	+	1.01372i
$313$	−0.359711	−	3.00851i	−0.0203321	−	0.170051i	0.979115	−	0.203308i	$-0.0651694\pi$
$313$	−0.359711	−	3.00851i	−0.0203321	−	0.170051i	−0.999447	+	0.0332576i	$0.989412\pi$
$314$	13.3019	−	15.3512i	0.750668	−	0.866317i
$315$	10.4649	+	20.1527i	0.589630	+	1.13548i
$316$	−9.25708	+	14.4043i	−0.520751	+	0.810305i
$317$	9.69057	+	22.6296i	0.544277	+	1.27101i	0.936349	+	0.351072i	$0.114183\pi$
$317$	9.69057	+	22.6296i	0.544277	+	1.27101i	−0.392072	+	0.919934i	$0.628242\pi$
$318$	13.2674	+	41.5039i	0.743996	+	2.32742i
$319$	0.101108	−	0.292133i	0.00566097	−	0.0163563i
$320$	−21.1589	−	23.5523i	−1.18282	−	1.31662i
$321$		−	37.5847i		−	2.09777i
$322$	−4.98384	+	33.2882i	−0.277738	+	1.85508i
$323$	2.17403	−	2.17403i	0.120966	−	0.120966i
$324$	28.3035	+	6.86636i	1.57242	+	0.381465i
$325$	−17.4603	+	18.7589i	−0.968522	+	1.04056i
$326$	−23.7609	−	12.2496i	−1.31599	−	0.678442i
$327$	30.5375	−	13.0769i	1.68873	−	0.723156i
$328$	−7.73544	+	1.68274i	−0.427118	+	0.0929139i
$329$	−18.8152	−	17.6256i	−1.03732	−	0.971732i
$330$	−22.2340	−	84.9740i	−1.22394	−	4.67766i
$331$	0.451263	+	0.354877i	0.0248036	+	0.0195058i	0.630484	−	0.776202i	$-0.282856\pi$
$331$	0.451263	+	0.354877i	0.0248036	+	0.0195058i	−0.605680	+	0.795708i	$0.707099\pi$
$332$	3.28313	+	19.5241i	0.180185	+	1.07152i
$333$	11.1612	−	18.3111i	0.611631	−	1.00344i
$334$	−16.6462	−	17.4580i	−0.910838	−	0.955260i
$335$	11.7403	+	16.6939i	0.641443	+	0.912084i
$336$	−78.0335	+	4.40833i	−4.25707	+	0.240494i
$337$	−1.35459	−	18.9396i	−0.0737890	−	1.03170i	−0.890597	−	0.454794i	$-0.849713\pi$
$337$	−1.35459	−	18.9396i	−0.0737890	−	1.03170i	0.816808	−	0.576910i	$-0.195742\pi$
$338$	−34.7150	−	5.83761i	−1.88825	−	0.317524i
$339$	0.197924	−	4.15493i	0.0107497	−	0.225665i
$340$	4.89002	+	4.28783i	0.265199	+	0.232540i
$341$	23.5653	−	1.12255i	1.27613	−	0.0607896i
$342$	−54.0749	−	3.86751i	−2.92403	−	0.209131i
$343$	18.4316	−	1.81021i	0.995212	−	0.0977424i
$344$	8.24259			0.444411
$345$	−27.4215	−	5.87126i	−1.47632	−	0.316098i
$346$	20.8506	+	36.1143i	1.12093	+	1.94152i
$347$	0.810719	+	34.0575i	0.0435217	+	1.82830i	0.426438	+	0.904517i	$0.359768\pi$
$347$	0.810719	+	34.0575i	0.0435217	+	1.82830i	−0.382916	+	0.923783i	$0.625080\pi$
$348$	0.403045	−	0.595498i	0.0216055	−	0.0319221i
$349$	1.36777	+	2.12830i	0.0732153	+	0.113925i	0.875930	−	0.482437i	$-0.160248\pi$
$349$	1.36777	+	2.12830i	0.0732153	+	0.113925i	−0.802715	+	0.596363i	$0.796612\pi$
$350$	−26.5880	+	22.9027i	−1.42119	+	1.22420i
$351$	−9.45255	−	6.07478i	−0.504540	−	0.324248i
$352$	77.3669	+	13.0099i	4.12367	+	0.693429i
$353$	29.5420	−	19.9946i	1.57236	−	1.06420i	0.610009	−	0.792395i	$-0.291166\pi$
$353$	29.5420	−	19.9946i	1.57236	−	1.06420i	0.962351	−	0.271809i	$-0.0876220\pi$
$354$	1.78506	+	4.45887i	0.0948751	+	0.236987i
$355$	−16.3777	−	13.6853i	−0.869236	−	0.726340i
$356$	−6.05458	+	20.6200i	−0.320892	+	1.09286i
$357$	3.93384	−	0.697291i	0.208201	−	0.0369046i
$358$	−31.6898	−	11.8197i	−1.67486	−	0.624689i
$359$	13.2529	+	10.4222i	0.699460	+	0.550061i	0.903335	−	0.428936i	$-0.141111\pi$
$359$	13.2529	+	10.4222i	0.699460	+	0.550061i	−0.203875	+	0.978997i	$0.565354\pi$
$360$	0.406583	−	69.1420i	0.0214288	−	3.64411i
$361$	−9.30687	+	0.888698i	−0.489835	+	0.0467736i
$362$	−1.26322	+	3.95168i	−0.0663931	+	0.207696i
$363$	44.0979	+	33.0113i	2.31454	+	1.73264i
$364$	−65.7046	−	18.6638i	−3.44385	−	0.978249i
$365$	−2.69386	−	2.14424i	−0.141003	−	0.112234i
$366$	32.6327	+	7.91661i	1.70574	+	0.413808i
$367$	−26.6809	−	7.14912i	−1.39273	−	0.373181i	−0.517002	−	0.855984i	$-0.672952\pi$
$367$	−26.6809	−	7.14912i	−1.39273	−	0.373181i	−0.875729	+	0.482803i	$0.839619\pi$
$368$	32.0686	−	43.6660i	1.67169	−	2.27625i
$369$	−3.26645	−	1.88588i	−0.170044	−	0.0981752i
$370$	31.5064	+	10.2761i	1.63794	+	0.534229i
$371$	−2.21971	+	16.4699i	−0.115242	+	0.855074i
$372$	53.6226	+	11.6649i	2.78020	+	0.604797i
$373$	−0.346959	−	0.810225i	−0.0179648	−	0.0419519i	0.910039	−	0.414524i	$-0.136052\pi$
$373$	−0.346959	−	0.810225i	−0.0179648	−	0.0419519i	−0.928003	+	0.372572i	$0.878476\pi$
$374$	−8.66411	−	0.412722i	−0.448010	−	0.0213414i
$375$	−17.6648	−	23.2969i	−0.912206	−	1.20305i
$376$	25.6753	+	74.1840i	1.32410	+	3.82575i
$377$	0.224001	−	0.167685i	0.0115366	−	0.00863621i
$378$	−11.9506	−	9.69101i	−0.614673	−	0.498452i
$379$	−11.6499	−	3.42072i	−0.598416	−	0.175711i	−0.0315239	−	0.999503i	$-0.510036\pi$
$379$	−11.6499	−	3.42072i	−0.598416	−	0.175711i	−0.566892	+	0.823792i	$0.691854\pi$
$380$	−9.59657	−	59.1951i	−0.492294	−	3.03665i
$381$	−6.07716	+	8.53418i	−0.311342	+	0.437219i
$382$	26.0198	−	60.7619i	1.33129	−	3.10885i
$383$	−7.72442	+	15.9014i	−0.394699	+	0.812523i	0.605166	+	0.796099i	$0.293107\pi$
$383$	−7.72442	+	15.9014i	−0.394699	+	0.812523i	−0.999865	+	0.0164234i	$0.994772\pi$
$384$	23.4327	+	10.7014i	1.19579	+	0.546101i
$385$	6.24282	−	32.9135i	0.318164	−	1.67743i
$386$	0.687779	+	4.78361i	0.0350070	+	0.243479i
$387$	2.90594	+	2.64167i	0.147717	+	0.134284i
$388$	−78.0246	+	37.9020i	−3.96110	+	1.92418i
$389$	−1.09754	−	1.04651i	−0.0556477	−	0.0530600i	0.661745	−	0.749729i	$-0.269816\pi$
$389$	−1.09754	−	1.04651i	−0.0556477	−	0.0530600i	−0.717393	+	0.696669i	$0.754665\pi$
$390$	26.4442	−	74.9762i	1.33906	−	3.79657i
$391$	−1.36265	+	2.41088i	−0.0689124	+	0.121923i
$392$	−52.2234	−	21.2797i	−2.63768	−	1.07479i
$393$	15.0782	−	27.6138i	0.760597	−	1.39293i
$394$	−7.44642	−	38.6357i	−0.375145	−	1.94644i
$395$	−3.60361	−	6.69278i	−0.181317	−	0.336750i
$396$	67.6739	+	86.0544i	3.40074	+	4.32440i
$397$	−27.0569	−	8.64917i	−1.35795	−	0.434089i	−0.465425	−	0.885088i	$-0.654098\pi$
$397$	−27.0569	−	8.64917i	−1.35795	−	0.434089i	−0.892525	+	0.450998i	$0.851068\pi$
$398$	−48.9564	+	18.2598i	−2.45396	+	0.915280i
$399$	−32.0640	−	18.1364i	−1.60521	−	0.907957i
$400$	55.0438	−	12.6699i	2.75219	−	0.633497i
$401$	0.679208	−	7.11299i	0.0339180	−	0.355206i	−0.962542	−	0.271134i	$-0.912601\pi$
$401$	0.679208	−	7.11299i	0.0339180	−	0.355206i	0.996460	−	0.0840718i	$-0.0267925\pi$
$402$	−54.0626	−	32.9529i	−2.69640	−	1.64354i
$403$	18.2339	+	11.1141i	0.908295	+	0.553635i
$404$	5.82282	−	60.9793i	0.289696	−	3.03384i
$405$	−8.75323	+	9.51585i	−0.434951	+	0.472846i
$406$	0.330116	−	0.194500i	0.0163834	−	0.00965288i
$407$	−29.6419	+	11.0559i	−1.46930	+	0.548019i
$408$	−11.5872	−	3.70404i	−0.573654	−	0.183377i
$409$	2.91109	+	3.70175i	0.143944	+	0.183040i	0.852679	−	0.522435i	$-0.174976\pi$
$409$	2.91109	+	3.70175i	0.143944	+	0.183040i	−0.708735	+	0.705475i	$0.750734\pi$
$410$	1.67502	−	5.58293i	0.0827233	−	0.275721i
$411$	−0.611417	−	3.17233i	−0.0301590	−	0.156480i
$412$	−23.5164	+	43.0670i	−1.15857	+	2.12176i
$413$	−0.114538	+	1.82826i	−0.00563604	+	0.0899627i
$414$	47.8621	−	9.67982i	2.35230	−	0.475737i
$415$	−8.28870	−	2.92344i	−0.406876	−	0.143506i
$416$	51.3933	+	49.0034i	2.51977	+	2.40259i
$417$	14.2379	−	6.91632i	0.697231	−	0.338694i
$418$	59.1806	+	53.7988i	2.89462	+	2.63138i
$419$	−3.34889	−	23.2921i	−0.163604	−	1.13789i	−0.891769	−	0.452490i	$-0.850536\pi$
$419$	−3.34889	−	23.2921i	−0.163604	−	1.13789i	0.728165	−	0.685402i	$-0.240373\pi$
$420$	33.8415	−	70.1923i	1.65130	−	3.42503i
$421$	25.5058	+	11.6481i	1.24308	+	0.567695i	0.924855	−	0.380321i	$-0.124186\pi$
$421$	25.5058	+	11.6481i	1.24308	+	0.567695i	0.318224	+	0.948016i	$0.396914\pi$
$422$	−6.19750	+	12.7581i	−0.301689	+	0.621054i
$423$	−14.7234	+	34.3824i	−0.715877	+	1.67173i
$424$	29.3524	−	41.2197i	1.42548	−	2.00180i
$425$	−2.71686	+	0.977097i	−0.131787	+	0.0473961i
$426$	63.5293	+	18.6539i	3.07800	+	0.903783i
$427$	9.94753	+	8.06667i	0.481395	+	0.390374i
$428$	−57.9540	+	43.3838i	−2.80131	+	2.09704i
$429$	24.8234	+	71.7224i	1.19848	+	3.46279i
$430$	−2.93983	+	5.30944i	−0.141771	+	0.256044i
$431$	−24.7390	−	1.17847i	−1.19164	−	0.0567647i	−0.557629	−	0.830090i	$-0.688289\pi$
$431$	−24.7390	−	1.17847i	−1.19164	−	0.0567647i	−0.634009	+	0.773326i	$0.718592\pi$
$432$	9.74874	+	22.7655i	0.469036	+	1.09530i
$433$	−4.65921	−	1.01355i	−0.223907	−	0.0487081i	0.0992118	−	0.995066i	$-0.468368\pi$
$433$	−4.65921	−	1.01355i	−0.223907	−	0.0487081i	−0.323119	+	0.946358i	$0.604731\pi$
$434$	23.1436	+	17.8717i	1.11093	+	0.857871i
$435$	0.144605	+	0.284591i	0.00693328	+	0.0136451i
$436$	−55.4134	−	31.9930i	−2.65382	−	1.53219i
$437$	23.8423	−	9.14214i	1.14053	−	0.437328i
$438$	10.3174	+	2.76453i	0.492983	+	0.132094i
$439$	18.2570	+	4.42911i	0.871361	+	0.211390i	0.646419	−	0.762982i	$-0.276266\pi$
$439$	18.2570	+	4.42911i	0.871361	+	0.211390i	0.224942	+	0.974372i	$0.427781\pi$
$440$	−63.5259	+	79.8094i	−3.02848	+	3.80476i
$441$	−11.5915	−	24.2393i	−0.551976	−	1.15425i
$442$	−6.28517	−	4.70502i	−0.298955	−	0.223795i
$443$	4.64629	−	14.5348i	0.220752	−	0.690571i	−0.777355	−	0.629062i	$-0.783439\pi$
$443$	4.64629	−	14.5348i	0.220752	−	0.690571i	0.998107	−	0.0615090i	$-0.0195913\pi$
$444$	−73.2560	+	6.99510i	−3.47658	+	0.331973i
$445$	−6.70632	−	6.78566i	−0.317910	−	0.321671i
$446$	7.96647	+	6.26490i	0.377223	+	0.296652i
$447$	43.0690	+	16.0639i	2.03709	+	0.759796i
$448$	24.1057	+	28.6756i	1.13889	+	1.35480i
$449$	7.08227	−	24.1200i	0.334233	−	1.13829i	−0.605346	−	0.795962i	$-0.706965\pi$
$449$	7.08227	−	24.1200i	0.334233	−	1.13829i	0.939579	−	0.342331i	$-0.111216\pi$
$450$	44.3926	+	24.9224i	2.09269	+	1.17485i
$451$	2.06808	+	5.16580i	0.0973819	+	0.243248i
$452$	−6.63519	+	4.49083i	−0.312093	+	0.211231i
$453$	−37.1750	−	6.25128i	−1.74663	−	0.293711i
$454$	−53.6599	−	34.4851i	−2.51839	−	1.61847i
$455$	21.3779	−	21.5045i	1.00221	−	1.00815i
$456$	60.6425	+	94.3615i	2.83984	+	4.41888i
$457$	−6.00405	+	8.87097i	−0.280857	+	0.414966i	−0.942166	−	0.335148i	$-0.891214\pi$
$457$	−6.00405	+	8.87097i	−0.280857	+	0.414966i	0.661308	+	0.750114i	$0.270002\pi$
$458$	−0.763250	−	32.0633i	−0.0356643	−	1.49822i
$459$	−0.632950	−	1.09630i	−0.0295436	−	0.0511710i
$460$	22.5992	+	49.0599i	1.05369	+	2.28743i
$461$	6.20364			0.288932			0.144466	−	0.989510i	$-0.453854\pi$
$461$	6.20364			0.288932			0.144466	+	0.989510i	$0.453854\pi$
$462$	22.9875	+	101.353i	1.06947	+	4.71538i
$463$	1.72706	+	0.123521i	0.0802631	+	0.00574053i	0.111413	−	0.993774i	$-0.464462\pi$
$463$	1.72706	+	0.123521i	0.0802631	+	0.00574053i	−0.0311499	+	0.999515i	$0.509917\pi$
$464$	−0.616012	+	0.0293443i	−0.0285977	+	0.00136227i
$465$	−16.0616	+	18.3173i	−0.744838	+	0.849444i
$466$	−1.14336	+	24.0020i	−0.0529650	+	1.11187i
$467$	−21.1539	−	3.55720i	−0.978885	−	0.164608i	−0.345478	−	0.938427i	$-0.612283\pi$
$467$	−21.1539	−	3.55720i	−0.978885	−	0.164608i	−0.633407	+	0.773819i	$0.718344\pi$
$468$	7.06915	+	98.8396i	0.326771	+	4.56886i
$469$	−13.2344	−	20.1985i	−0.611106	−	0.932682i
$470$	−56.9429	−	9.92007i	−2.62658	−	0.457579i
$471$	−13.8181	−	14.4920i	−0.636702	−	0.667754i
$472$	2.90306	−	4.76277i	0.133624	−	0.219224i
$473$	−0.960769	−	5.71348i	−0.0441762	−	0.262706i
$474$	18.5361	+	14.5770i	0.851393	+	0.669542i
$475$	25.0537	+	9.00246i	1.14954	+	0.413061i
$476$	−5.61601	−	5.26093i	−0.257409	−	0.241135i
$477$	23.5588	−	5.12489i	1.07868	−	0.234653i
$478$	−51.1195	+	21.8906i	−2.33815	+	1.00125i
$479$	16.5082	+	8.51057i	0.754279	+	0.388858i	0.792072	−	0.610428i	$-0.209002\pi$
$479$	16.5082	+	8.51057i	0.754279	+	0.388858i	−0.0377929	+	0.999286i	$0.512033\pi$
$480$	−65.1387	+	48.1671i	−2.97316	+	2.19852i
$481$	−27.8285	−	6.75113i	−1.26887	−	0.307825i
$482$	40.1397	−	40.1397i	1.82831	−	1.82831i
$483$	32.1995	+	8.01004i	1.46513	+	0.364470i
$484$		−	106.102i		−	4.82282i
$485$	2.05846	−	38.4535i	0.0934700	−	1.74608i
$486$	18.8250	−	54.3914i	0.853921	−	2.46724i
$487$	4.55864	+	14.2607i	0.206572	+	0.646213i	0.999327	+	0.0366733i	$0.0116761\pi$
$487$	4.55864	+	14.2607i	0.206572	+	0.646213i	−0.792755	+	0.609540i	$0.791354\pi$
$488$	−15.3511	−	35.8481i	−0.694910	−	1.62277i
$489$	−14.2473	+	22.1693i	−0.644287	+	1.00253i
$490$	32.3334	−	26.0498i	1.46067	−	1.17681i
$491$	25.6492	−	29.6008i	1.15753	−	1.33586i	0.225179	−	0.974317i	$-0.427703\pi$
$491$	25.6492	−	29.6008i	1.15753	−	1.33586i	0.932354	−	0.361547i	$-0.117751\pi$
$492$	1.53660	+	12.8517i	0.0692755	+	0.579398i
$493$	0.0310876	−	0.00522764i	0.00140012	−	0.000235441i
$494$	17.0672	+	70.3519i	0.767889	+	3.16528i
$495$	−47.9743	+	7.77748i	−2.15628	+	0.349572i
$496$	−19.5515	−	42.8118i	−0.877889	−	1.92231i
$497$	18.8354	+	16.8211i	0.844883	+	0.754528i
$498$	27.1969	−	1.94516i	1.21872	−	0.0871647i
$499$	28.2884	−	20.1441i	1.26636	−	0.901773i	0.268260	−	0.963346i	$-0.413551\pi$
$499$	28.2884	−	20.1441i	1.26636	−	0.901773i	0.998103	+	0.0615736i	$0.0196119\pi$
$500$	−15.5325	+	54.1299i	−0.694634	+	2.42076i
$501$	−18.6918	+	14.6994i	−0.835089	+	0.656721i
$502$	10.9981	+	9.99796i	0.490870	+	0.446231i
$503$	−1.98144	+	27.7042i	−0.0883482	+	1.23527i	0.739049	+	0.673652i	$0.235275\pi$
$503$	−1.98144	+	27.7042i	−0.0883482	+	1.23527i	−0.827397	+	0.561617i	$0.810179\pi$
$504$	−3.17078	+	81.7499i	−0.141238	+	3.64143i
$505$	22.4308	+	15.3747i	0.998155	+	0.684164i
$506$	−64.3306	−	32.4229i	−2.85984	−	1.44137i
$507$	−8.98157	+	33.5197i	−0.398886	+	1.48866i
$508$	20.1742	−	0.480235i	0.895085	−	0.0213070i
$509$	2.98026	+	15.4630i	0.132098	+	0.685387i	0.986236	+	0.165342i	$0.0528728\pi$
$509$	2.98026	+	15.4630i	0.132098	+	0.685387i	−0.854139	+	0.520045i	$0.825915\pi$
$510$	6.51870	−	6.14279i	0.288653	−	0.272007i
$511$	3.10228	+	2.64053i	0.137237	+	0.116810i
$512$	5.42082	+	24.9191i	0.239568	+	1.10128i
$513$	−1.93563	+	11.5108i	−0.0854602	+	0.508213i
$514$	9.99391	−	51.8533i	0.440812	−	2.28715i
$515$	−11.6692	−	18.3945i	−0.514204	−	0.810558i
$516$	1.28103	−	13.4156i	0.0563943	−	0.590587i
$517$	48.4291	−	26.4443i	2.12991	−	1.16302i
$518$	−36.8590	−	13.3780i	−1.61949	−	0.587797i
$519$	37.3937	−	17.0771i	1.64140	−	0.749602i
$520$	−88.1091	+	27.5954i	−3.86384	+	1.21014i
$521$	2.06153	−	10.6962i	0.0903172	−	0.468610i	−0.908406	−	0.418090i	$-0.862700\pi$
$521$	2.06153	−	10.6962i	0.0903172	−	0.468610i	0.998723	−	0.0505206i	$-0.0160881\pi$
$522$	−0.428635	−	0.353911i	−0.0187609	−	0.0154903i
$523$	−18.1103	−	5.78923i	−0.791907	−	0.253145i	−0.119022	−	0.992892i	$-0.537976\pi$
$523$	−18.1103	−	5.78923i	−0.791907	−	0.253145i	−0.672886	+	0.739746i	$0.734945\pi$
$524$	−59.9840	+	8.62440i	−2.62041	+	0.376759i
$525$	19.9836	+	28.2376i	0.872155	+	1.23239i
$526$	4.92057	−	4.26370i	0.214547	−	0.185906i
$527$	1.25214	+	2.05427i	0.0545441	+	0.0894853i
$528$	43.2947	−	161.578i	1.88416	−	7.03178i
$529$	−18.4879	+	13.6820i	−0.803822	+	0.594870i
$530$	16.0826	+	33.6088i	0.698583	+	1.45987i
$531$	2.54990	−	0.748718i	0.110656	−	0.0324916i
$532$	9.04569	+	70.3761i	0.392181	+	3.05119i
$533$	−1.07060	+	4.92147i	−0.0463729	+	0.213173i
$534$	27.4770	+	11.0001i	1.18905	+	0.476022i
$535$	−4.38660	−	31.8374i	−0.189649	−	1.37645i
$536$	6.98933	+	73.1956i	0.301893	+	3.16157i
$537$	−14.5684	+	29.9904i	−0.628675	+	1.29418i
$538$	−3.84295	−	5.13358i	−0.165681	−	0.221324i
$539$	−8.66311	+	38.6799i	−0.373147	+	1.66606i
$540$	−24.5649	−	2.49152i	−1.05711	−	0.107218i
$541$	−9.96643	+	9.50298i	−0.428490	+	0.408565i	−0.873394	−	0.487013i	$-0.838086\pi$
$541$	−9.96643	+	9.50298i	−0.428490	+	0.408565i	0.444904	+	0.895578i	$0.353238\pi$
$542$	32.6771	−	5.49492i	1.40360	−	0.236027i
$543$	3.75952	+	1.60992i	0.161336	+	0.0690882i
$544$	2.61664	+	7.56027i	0.112187	+	0.324144i
$545$	24.3416	−	14.6414i	1.04268	−	0.627167i
$546$	−34.1893	+	87.6363i	−1.46317	+	3.75049i
$547$	15.8924	−	21.2298i	0.679512	−	0.907722i	−0.319696	−	0.947520i	$-0.603581\pi$
$547$	15.8924	−	21.2298i	0.679512	−	0.907722i	0.999208	+	0.0397986i	$0.0126716\pi$
$548$	−4.18585	+	4.60459i	−0.178811	+	0.196698i
$549$	6.07695	−	17.5582i	0.259358	−	0.749365i
$550$	−28.7516	−	69.3851i	−1.22597	−	2.95859i
$551$	−0.251729	−	0.145336i	−0.0107240	−	0.00619152i
$552$	−75.3781	−	67.2735i	−3.20830	−	2.86335i
$553$	4.00116	+	8.05492i	0.170147	+	0.342530i
$554$	18.4097	+	62.6975i	0.782151	+	2.66376i
$555$	13.0365	−	29.9551i	0.553369	−	1.27153i
$556$	−27.0994	−	13.9707i	−1.14927	−	0.592490i
$557$	3.43719	−	28.7475i	0.145638	−	1.21807i	−0.711388	−	0.702799i	$-0.751933\pi$
$557$	3.43719	−	28.7475i	0.145638	−	1.21807i	0.857026	−	0.515272i	$-0.172309\pi$
$558$	12.9167	−	40.4069i	0.546806	−	1.71056i
$559$	2.17849	−	4.77023i	0.0921404	−	0.201759i
$560$	−65.5864	+	12.8417i	−2.77153	+	0.542661i
$561$	−1.21689	+	8.46363i	−0.0513770	+	0.357335i
$562$	−35.1068	+	28.9866i	−1.48089	+	1.22273i
$563$	19.7151	−	32.3447i	0.830894	−	1.36317i	−0.0989042	−	0.995097i	$-0.531534\pi$
$563$	19.7151	−	32.3447i	0.830894	−	1.36317i	0.929798	−	0.368070i	$-0.119981\pi$
$564$	124.732	−	30.2596i	5.25215	−	1.27416i
$565$	−0.317274	−	3.54267i	−0.0133478	−	0.149041i
$566$	63.2310	+	9.09124i	2.65780	+	0.382133i
$567$	10.7216	−	10.9127i	0.450264	−	0.458289i
$568$	−26.8715	−	72.0452i	−1.12750	−	3.02295i
$569$	−4.01828	+	2.07157i	−0.168455	+	0.0868447i	−0.540392	−	0.841413i	$-0.681724\pi$
$569$	−4.01828	+	2.07157i	−0.168455	+	0.0868447i	0.371937	+	0.928258i	$0.378694\pi$
$570$	−82.4116	+	5.40731i	−3.45184	+	0.226487i
$571$	11.5809	−	22.4639i	0.484647	−	0.940085i	−0.512056	−	0.858952i	$-0.671116\pi$
$571$	11.5809	−	22.4639i	0.484647	−	0.940085i	0.996703	−	0.0811328i	$-0.0258538\pi$
$572$	81.9395	−	121.065i	3.42606	−	5.06200i
$573$	−57.1890	−	31.2276i	−2.38911	−	1.30455i
$574$	−2.19804	+	6.53708i	−0.0917445	+	0.272852i
$575$	−23.9135	−	1.77303i	−0.997263	−	0.0739403i
$576$	27.1738	−	47.0664i	1.13224	−	1.96110i
$577$	−0.667493	−	28.0407i	−0.0277881	−	1.16735i	−0.825533	−	0.564354i	$-0.809125\pi$
$577$	−0.667493	−	28.0407i	−0.0277881	−	1.16735i	0.797745	−	0.602995i	$-0.206026\pi$
$578$	19.3180	+	39.7679i	0.803525	+	1.65413i
$579$	4.75872	−	0.226686i	0.197766	−	0.00942075i
$580$	0.271911	−	0.551477i	0.0112905	−	0.0228988i
$581$	9.68828	+	3.77966i	0.401938	+	0.156807i
$582$	41.7485	+	111.932i	1.73053	+	4.63973i
$583$	−31.9934	−	15.5415i	−1.32503	−	0.643661i
$584$	−4.61031	−	11.5160i	−0.190776	−	0.476536i
$585$	−39.9071	−	18.5093i	−1.64996	−	0.765267i
$586$	−0.171154	−	0.179502i	−0.00707033	−	0.00741514i
$587$	−7.80562	−	14.2949i	−0.322172	−	0.590014i	0.665528	−	0.746373i	$-0.268206\pi$
$587$	−7.80562	−	14.2949i	−0.322172	−	0.590014i	−0.987700	+	0.156358i	$0.950025\pi$
$588$	−42.7510	+	81.6911i	−1.76302	+	3.36888i
$589$	3.15697	−	21.9572i	0.130081	−	0.904730i
$590$	2.03250	+	3.56870i	0.0836769	+	0.146921i
$591$	−38.6120	+	3.68700i	−1.58828	+	0.151663i
$592$	42.4541	+	46.7011i	1.74485	+	1.91940i
$593$	8.85509	−	3.79197i	0.363635	−	0.155718i	−0.204056	−	0.978959i	$-0.565413\pi$
$593$	8.85509	−	3.79197i	0.363635	−	0.155718i	0.567691	+	0.823242i	$0.307837\pi$
$594$	27.7027	−	17.8034i	1.13666	−	0.730484i
$595$	3.25091	−	1.04979i	0.133274	−	0.0430373i
$596$	−24.9445	−	84.9530i	−1.02176	−	3.47981i
$597$	13.3313	+	49.7532i	0.545615	+	2.03626i
$598$	−31.7724	−	56.9415i	−1.29927	−	2.32851i
$599$	−27.0830	+	15.6364i	−1.10658	+	0.638884i	−0.937941	−	0.346794i	$-0.887270\pi$
$599$	−27.0830	+	15.6364i	−1.10658	+	0.638884i	−0.168638	+	0.985678i	$0.553937\pi$
$600$	−13.7634	−	104.431i	−0.561887	−	4.26337i
$601$	−23.4275	−	27.0368i	−0.955627	−	1.10285i	−0.994618	−	0.103613i	$-0.966960\pi$
$601$	−23.4275	−	27.0368i	−0.955627	−	1.10285i	0.0389903	−	0.999240i	$-0.487586\pi$
$602$	3.68314	−	6.16444i	0.150114	−	0.251244i
$603$	−20.9944	+	28.0453i	−0.854959	+	1.14209i
$604$	33.2717	+	64.5381i	1.35381	+	2.62602i
$605$	41.2075	+	22.8166i	1.67532	+	0.927625i
$606$	−82.8391	−	15.9659i	−3.36511	−	0.648572i
$607$	−1.38597	−	11.5918i	−0.0562548	−	0.470497i	−0.992785	−	0.119909i	$-0.961740\pi$
$607$	−1.38597	−	11.5918i	−0.0562548	−	0.470497i	0.936530	−	0.350587i	$-0.114018\pi$
$608$	25.7791	−	69.1165i	1.04548	−	2.80305i
$609$	−0.159934	−	0.342177i	−0.00648087	−	0.0138657i
$610$	28.5666	+	2.89739i	1.15663	+	0.117312i
$611$	49.7184	+	4.74753i	2.01139	+	0.192065i
$612$	−4.39467	+	10.2625i	−0.177644	+	0.414838i
$613$	−4.72779	−	6.98531i	−0.190954	−	0.282134i	0.720569	−	0.693383i	$-0.243881\pi$
$613$	−4.72779	−	6.98531i	−0.190954	−	0.282134i	−0.911523	+	0.411249i	$0.865093\pi$
$614$	−18.6555	+	13.2845i	−0.752875	+	0.536120i
$615$	−5.32172	−	2.16689i	−0.214592	−	0.0873774i
$616$	78.2292	−	91.9092i	3.15194	−	3.70313i
$617$	9.25353	−	42.5378i	0.372533	−	1.71251i	−0.284526	−	0.958668i	$-0.591836\pi$
$617$	9.25353	−	42.5378i	0.372533	−	1.71251i	0.657059	−	0.753839i	$-0.271800\pi$
$618$	55.9654	+	37.8785i	2.25126	+	1.52370i
$619$	−24.2593	−	23.1312i	−0.975064	−	0.929721i	0.0224816	−	0.999747i	$-0.492843\pi$
$619$	−24.2593	−	23.1312i	−0.975064	−	0.929721i	−0.997545	+	0.0700260i	$0.977692\pi$
$620$	46.7843	+	3.62271i	1.87890	+	0.145492i
$621$	−1.09513	−	10.4564i	−0.0439462	−	0.419603i
$622$	−21.4119	−	21.4119i	−0.858541	−	0.858541i
$623$	7.66674	+	8.28546i	0.307161	+	0.331950i
$624$	114.429	−	99.1529i	4.58081	−	3.96929i
$625$	−17.6826	−	17.6727i	−0.707304	−	0.706910i
$626$	4.96849	+	6.31795i	0.198581	+	0.252516i
$627$	58.3396	−	53.0342i	2.32986	−	2.11798i
$628$	−6.39588	+	38.0349i	−0.255223	+	1.51776i
$629$	−2.43817	−	2.11268i	−0.0972161	−	0.0842382i
$630$	−51.5280	−	31.1997i	−2.05293	−	1.24303i
$631$	14.1532	−	6.46357i	0.563431	−	0.257311i	−0.113275	−	0.993564i	$-0.536134\pi$
$631$	14.1532	−	6.46357i	0.563431	−	0.257311i	0.676706	+	0.736253i	$0.263407\pi$
$632$	0.651717	−	27.3779i	0.0259239	−	1.08904i
$633$	11.9391	+	7.27726i	0.474537	+	0.289245i
$634$	−53.1938	−	37.8792i	−2.11260	−	1.50437i
$635$	−4.15182	+	7.93844i	−0.164760	+	0.315027i
$636$	−62.5270	−	54.1799i	−2.47935	−	2.14837i
$637$	−26.1177	+	24.5991i	−1.03482	+	0.974650i
$638$	0.174314	+	0.801306i	0.00690114	+	0.0317240i
$639$	13.6162	−	34.0117i	0.538650	−	1.34548i
$640$	21.0984	+	6.33006i	0.833989	+	0.250217i
$641$	−16.8610	−	5.83564i	−0.665968	−	0.230494i	−0.0268931	−	0.999638i	$-0.508561\pi$
$641$	−16.8610	−	5.83564i	−0.665968	−	0.230494i	−0.639075	+	0.769145i	$0.720683\pi$
$642$	51.8914	+	85.1333i	2.04799	+	3.35994i
$643$	3.65392	+	3.65392i	0.144097	+	0.144097i	0.775475	−	0.631378i	$-0.217510\pi$
$643$	3.65392	+	3.65392i	0.144097	+	0.144097i	−0.631378	+	0.775475i	$0.717510\pi$
$644$	−24.8166	−	58.8963i	−0.977912	−	2.32084i
$645$	4.93481	+	3.38246i	0.194308	+	0.133184i
$646$	−1.92282	+	7.92599i	−0.0756525	+	0.311844i
$647$	−15.1659	+	7.36714i	−0.596233	+	0.289632i	−0.710365	−	0.703833i	$-0.751470\pi$
$647$	−15.1659	+	7.36714i	−0.596233	+	0.289632i	0.114132	+	0.993466i	$0.463591\pi$
$648$	−44.3700	+	14.1836i	−1.74302	+	0.557183i
$649$	−3.63977	−	1.45715i	−0.142874	−	0.0571980i
$650$	13.6498	−	66.5975i	0.535390	−	2.61217i
$651$	19.7067	−	21.0367i	0.772365	−	0.824494i
$652$	50.6298	−	3.62111i	1.98282	−	0.141814i
$653$	−4.48430	+	0.536163i	−0.175484	+	0.0209817i	−0.205997	−	0.978553i	$-0.566044\pi$
$653$	−4.48430	+	0.536163i	−0.175484	+	0.0209817i	0.0305126	+	0.999534i	$0.490286\pi$
$654$	−51.1160	+	71.7824i	−1.99879	+	2.80691i
$655$	9.54967	−	25.1510i	0.373137	−	0.982730i
$656$	8.03397	−	7.66038i	0.313674	−	0.299088i
$657$	2.06540	−	5.53755i	0.0805789	−	0.216040i
$658$	66.9533	+	13.9466i	2.61011	+	0.543695i
$659$	5.42301	−	6.25849i	0.211251	−	0.243796i	−0.640229	−	0.768184i	$-0.721160\pi$
$659$	5.42301	−	6.25849i	0.211251	−	0.243796i	0.851479	+	0.524388i	$0.175706\pi$
$660$	120.024	+	115.798i	4.67193	+	4.50742i
$661$	−16.3527	−	0.778975i	−0.636046	−	0.0302986i	−0.272917	−	0.962038i	$-0.587988\pi$
$661$	−16.3527	−	0.778975i	−0.636046	−	0.0302986i	−0.363129	+	0.931739i	$0.618292\pi$
$662$	−1.51212	−	0.180796i	−0.0587702	−	0.00702684i
$663$	−5.20611	+	5.72692i	−0.202189	+	0.222415i
$664$	−20.7364	−	23.9311i	−0.804728	−	0.928705i
$665$	−29.2776	−	11.6208i	−1.13534	−	0.450636i
$666$			56.8864i			2.20430i
$667$	0.253505	+	0.0654456i	0.00981575	+	0.00253406i
$668$	44.2418	+	11.8545i	1.71177	+	0.458666i
$669$	6.89441	−	7.23065i	0.266553	−	0.279553i
$670$	−49.6416	−	21.6041i	−1.91782	−	0.834638i
$671$	−23.0594	+	14.8193i	−0.890197	+	0.572095i
$672$	78.9054	−	54.4271i	3.04384	−	2.09957i
$673$	−40.2158	+	8.74842i	−1.55021	+	0.337227i	−0.904539	−	0.426392i	$-0.859784\pi$
$673$	−40.2158	+	8.74842i	−1.55021	+	0.337227i	−0.645668	+	0.763619i	$0.723421\pi$
$674$	29.2173	+	41.0299i	1.12541	+	1.58041i
$675$	6.25018	−	9.00465i	0.240570	−	0.346589i
$676$	62.0534	−	24.8424i	2.38667	−	0.955478i
$677$	−17.3007	+	14.2847i	−0.664921	+	0.549005i	−0.906936	−	0.421268i	$-0.861585\pi$
$677$	−17.3007	+	14.2847i	−0.664921	+	0.549005i	0.242016	+	0.970272i	$0.422191\pi$
$678$	5.28820	+	9.68462i	0.203092	+	0.371935i
$679$	−3.93032	+	45.3941i	−0.150832	+	1.74207i
$680$	−10.2477	−	1.78526i	−0.392980	−	0.0684615i
$681$	−38.8694	+	49.4264i	−1.48948	+	1.89402i
$682$	−51.8279	+	35.0782i	−1.98459	+	1.34321i
$683$	−3.82035	+	4.62697i	−0.146182	+	0.177046i	−0.839112	−	0.543958i	$-0.816925\pi$
$683$	−3.82035	+	4.62697i	−0.146182	+	0.177046i	0.692931	+	0.721004i	$0.256319\pi$
$684$	91.4951	−	47.1690i	3.49840	−	1.80355i
$685$	−0.888173	−	2.61587i	−0.0339353	−	0.0999474i
$686$	−39.2502	+	29.5480i	−1.49858	+	1.12815i
$687$	−31.5361	−	2.25551i	−1.20318	−	0.0860529i
$688$	−9.86932	+	6.01567i	−0.376264	+	0.229345i
$689$	−16.0973	−	27.8813i	−0.613258	−	1.06219i
$690$	70.2187	−	24.5605i	2.67318	−	0.935003i
$691$	−2.94953	+	5.10874i	−0.112206	+	0.194346i	−0.916659	−	0.399670i	$-0.869125\pi$
$691$	−2.94953	+	5.10874i	−0.112206	+	0.194346i	0.804454	+	0.594015i	$0.202458\pi$
$692$	−69.4956	−	37.9475i	−2.64183	−	1.44255i
$693$	57.0359	−	7.33102i	2.16661	−	0.278483i
$694$	−48.8579	−	76.0244i	−1.85462	−	2.88585i
$695$	11.2534	−	7.52044i	0.426867	−	0.285266i
$696$	−0.0547233	+	1.14878i	−0.00207428	+	0.0435445i
$697$	−0.361277	+	0.437557i	−0.0136844	+	0.0165736i
$698$	−6.03660	−	2.93240i	−0.228489	−	0.110993i
$699$	23.4467	+	3.37112i	0.886834	+	0.127507i
$700$	20.4743	−	63.4084i	0.773855	−	2.39661i
$701$	−10.2382	+	34.8682i	−0.386693	+	1.31695i	0.504532	+	0.863393i	$0.331665\pi$
$701$	−10.2382	+	34.8682i	−0.386693	+	1.31695i	−0.891225	+	0.453562i	$0.850153\pi$
$702$	29.7982	+	0.709329i	1.12466	+	0.0267719i
$703$	4.93298	+	29.3353i	0.186051	+	1.10640i
$704$	−74.4343	+	29.7990i	−2.80535	+	1.12309i
$705$	−15.0707	+	54.9499i	−0.567594	+	2.06953i
$706$	−39.3101	+	86.0770i	−1.47945	+	3.23955i
$707$	−25.9279	−	19.0544i	−0.975120	−	0.716614i
$708$	−7.30066	−	5.46520i	−0.274375	−	0.205395i
$709$	0.555961	+	11.6711i	0.0208795	+	0.438316i	0.984968	+	0.172735i	$0.0552605\pi$
$709$	0.555961	+	11.6711i	0.0208795	+	0.438316i	−0.964089	+	0.265580i	$0.914436\pi$
$710$	55.9918	+	8.38675i	2.10133	+	0.314749i
$711$	9.00414	−	9.44327i	0.337682	−	0.354150i
$712$	−8.89614	−	33.2009i	−0.333397	−	1.24425i
$713$	2.55359	+	19.8170i	0.0956326	+	0.742151i
$714$	−7.94784	+	7.01071i	−0.297440	+	0.262369i
$715$	29.3984	+	57.8577i	1.09944	+	2.16375i
$716$	63.0603	−	12.1539i	2.35667	−	0.454211i
$717$	16.6917	+	52.2161i	0.623362	+	1.95005i
$718$	−44.4086	−	5.30969i	−1.65731	−	0.198156i
$719$	−12.7510	−	24.7335i	−0.475533	−	0.922405i	−0.997583	−	0.0694900i	$-0.977863\pi$
$719$	−12.7510	−	24.7335i	−0.475533	−	0.922405i	0.522050	−	0.852915i	$-0.325167\pi$
$720$	49.9749	+	83.0844i	1.86246	+	3.09637i
$721$	13.0840	+	22.2069i	0.487275	+	0.827027i
$722$	19.8541	−	14.8626i	0.738892	−	0.553127i
$723$	−35.6288	−	43.1514i	−1.32505	−	1.60482i
$724$	−1.85717	−	7.65534i	−0.0690210	−	0.284508i
$725$	0.155708	+	0.224195i	0.00578285	+	0.00832641i
$726$	−145.464	−	13.8901i	−5.39866	−	0.515510i
$727$	23.6264	+	31.5611i	0.876254	+	1.17054i	0.984320	+	0.176394i	$0.0564433\pi$
$727$	23.6264	+	31.5611i	0.876254	+	1.17054i	−0.108066	+	0.994144i	$0.534466\pi$
$728$	105.269	−	29.2058i	3.90154	−	1.08244i
$729$	−35.8325	−	16.3642i	−1.32713	−	0.606081i
$730$	9.06233	+	1.13762i	0.335412	+	0.0421054i
$731$	0.464412	−	0.365217i	0.0171769	−	0.0135080i
$732$	−60.7319	+	19.4139i	−2.24472	+	0.717558i
$733$	21.4206	+	14.4979i	0.791188	+	0.535492i	0.888018	−	0.459809i	$-0.152082\pi$
$733$	21.4206	+	14.4979i	0.791188	+	0.535492i	−0.0968295	+	0.995301i	$0.530870\pi$
$734$	70.3055	−	20.6436i	2.59502	−	0.761968i
$735$	−22.5335	−	34.1706i	−0.831162	−	1.26040i
$736$	−5.71031	+	66.1987i	−0.210485	+	2.44012i
$737$	49.9220	−	13.3766i	1.83890	−	0.492732i
$738$	10.0026	−	0.238106i	0.368201	−	0.00876481i
$739$	−2.58800	−	0.895716i	−0.0952012	−	0.0329495i	0.279052	−	0.960276i	$-0.409980\pi$
$739$	−2.58800	−	0.895716i	−0.0952012	−	0.0329495i	−0.374253	+	0.927326i	$0.622101\pi$
$740$	−61.2376	+	14.4753i	−2.25114	+	0.532124i
$741$	70.6374	−	10.1561i	2.59493	−	0.373095i
$742$	−17.7113	−	40.3707i	−0.650203	−	1.48205i
$743$	19.5227	−	7.28160i	0.716219	−	0.267136i	0.0351779	−	0.999381i	$-0.488800\pi$
$743$	19.5227	−	7.28160i	0.716219	−	0.267136i	0.681041	+	0.732245i	$0.261527\pi$
$744$	−82.9429	+	28.7068i	−3.04083	+	1.05244i
$745$	38.3579	+	8.58078i	1.40532	+	0.314375i
$746$	1.90454	+	1.35622i	0.0697301	+	0.0496546i
$747$	0.359036	−	15.0828i	0.0131365	−	0.551849i
$748$	14.4552	−	7.89315i	0.528535	−	0.288602i
$749$	3.94886	+	37.8208i	0.144288	+	1.38194i
$750$	72.1776	+	28.3810i	2.63555	+	1.03633i
$751$	10.7118	−	3.70738i	0.390878	−	0.135284i	−0.124558	−	0.992212i	$-0.539751\pi$
$751$	10.7118	−	3.70738i	0.390878	−	0.135284i	0.515436	+	0.856928i	$0.327630\pi$
$752$	−84.8841	−	70.0862i	−3.09540	−	2.55578i
$753$	10.8418	−	9.85588i	0.395098	−	0.359168i
$754$	−0.275870	+	0.689091i	−0.0100466	+	0.0250952i
$755$	−32.2199	−	0.956578i	−1.17260	−	0.0348134i
$756$	28.9530	+	3.90211i	1.05301	+	0.141918i
$757$	−6.90642	+	12.6482i	−0.251018	+	0.459705i	−0.972556	−	0.232670i	$-0.925254\pi$
$757$	−6.90642	+	12.6482i	−0.251018	+	0.459705i	0.721538	+	0.692375i	$0.243436\pi$
$758$	31.1111	−	8.33620i	1.13001	−	0.302784i
$759$	−37.8455	+	60.0910i	−1.37371	+	2.18117i
$760$	62.3824	+	72.8544i	2.26285	+	2.64271i
$761$	−1.12151	+	4.62293i	−0.0406547	+	0.167581i	−0.988520	−	0.151091i	$-0.951722\pi$
$761$	−1.12151	+	4.62293i	−0.0406547	+	0.167581i	0.947865	+	0.318671i	$0.103237\pi$
$762$	1.98266	−	27.7213i	0.0718243	−	1.00424i
$763$	−29.3554	+	16.3675i	−1.06274	+	0.592544i
$764$	17.8614	+	124.229i	0.646204	+	4.49445i
$765$	−3.04068	−	3.91368i	−0.109936	−	0.141499i
$766$	−4.45769	−	46.6831i	−0.161063	−	1.68673i
$767$	−1.98909	−	2.93887i	−0.0718217	−	0.106116i
$768$	5.67698	−	0.678766i	0.204850	−	0.0244929i
$769$	0.825920	+	1.80851i	0.0297835	+	0.0652167i	0.923939	−	0.382540i	$-0.124950\pi$
$769$	0.825920	+	1.80851i	0.0297835	+	0.0652167i	−0.894156	+	0.447756i	$0.852223\pi$
$770$	31.3015	+	83.1717i	1.12803	+	2.99730i
$771$	−49.9485	−	14.6662i	−1.79885	−	0.528190i
$772$	−5.84252	−	7.07609i	−0.210277	−	0.254674i
$773$	7.13660	+	3.05607i	0.256686	+	0.109919i	0.518138	−	0.855297i	$-0.326626\pi$
$773$	7.13660	+	3.05607i	0.256686	+	0.109919i	−0.261452	+	0.965217i	$0.584201\pi$
$774$	−10.2295	−	1.97157i	−0.367692	−	0.0708667i
$775$	−11.4676	+	17.3909i	−0.411930	+	0.624698i
$776$	75.0073	−	116.714i	2.69260	−	4.18978i
$777$	−16.5821	+	34.9171i	−0.594879	+	1.25264i
$778$	3.93092	+	0.855118i	0.140930	+	0.0306575i
$779$	5.13751	−	0.990175i	0.184071	−	0.0354767i
$780$	31.2205	+	147.694i	1.11787	+	5.28831i
$781$	−46.8071	+	27.0241i	−1.67489	+	0.966998i
$782$	−0.242034	−	7.34225i	−0.00865511	−	0.262558i
$783$	−0.0846266	+	0.0846266i	−0.00302431	+	0.00302431i
$784$	78.0605	−	12.6347i	2.78787	−	0.451238i
$785$	−13.3964	−	10.6632i	−0.478139	−	0.380585i
$786$	3.97121	+	83.3659i	0.141648	+	2.97356i
$787$	0.828012	−	6.92522i	0.0295154	−	0.246858i	−0.970469	−	0.241227i	$-0.922450\pi$
$787$	0.828012	−	6.92522i	0.0295154	−	0.246858i	0.999984	−	0.00563056i	$-0.00179227\pi$
$788$	50.2548	+	55.2822i	1.79025	+	1.96935i
$789$	−3.72299	−	5.22821i	−0.132542	−	0.186129i
$790$	17.4030	+	10.1845i	0.619170	+	0.362349i
$791$	0.237373	+	4.20182i	0.00844001	+	0.149400i
$792$	−164.057	−	61.1903i	−5.82953	−	2.17430i
$793$	−24.8036	−	0.590436i	−0.880802	−	0.0209670i
$794$	73.2283	−	17.7650i	2.59878	−	0.630456i
$795$	34.4882	−	12.6329i	1.22317	−	0.448044i
$796$	61.3290	−	77.9862i	2.17375	−	2.76415i
$797$	1.51006	+	21.1135i	0.0534892	+	0.747877i	0.951450	+	0.307802i	$0.0995936\pi$
$797$	1.51006	+	21.1135i	0.0534892	+	0.747877i	−0.897961	+	0.440075i	$0.854952\pi$
$798$	97.6684	−	3.18833i	3.45742	−	0.112866i
$799$	4.73361	+	3.04211i	0.167463	+	0.107622i
$800$	−49.5562	+	48.4041i	−1.75208	+	1.71134i
$801$	7.50422	−	14.5562i	0.265148	−	0.514316i
$802$	8.28209	+	17.0494i	0.292451	+	0.602036i
$803$	−7.44512	+	4.53804i	−0.262733	+	0.160144i
$804$	120.219			4.23979
$805$	28.2106	+	3.02709i	0.994292	+	0.106691i
$806$	−56.6465			−1.99529
$807$	−5.39781	+	3.29014i	−0.190012	+	0.115818i
$808$	42.8093	+	88.1268i	1.50603	+	3.10029i
$809$	−14.3380	+	27.8118i	−0.504096	+	0.977811i	0.490246	+	0.871584i	$0.336907\pi$
$809$	−14.3380	+	27.8118i	−0.504096	+	0.977811i	−0.994342	+	0.106226i	$0.966123\pi$
$810$	6.68889	−	33.6396i	0.235024	−	1.18197i
$811$	−26.9689	−	17.3319i	−0.947006	−	0.608604i	−0.0266328	−	0.999645i	$-0.508478\pi$
$811$	−26.9689	−	17.3319i	−0.947006	−	0.608604i	−0.920373	+	0.391042i	$0.872115\pi$
$812$	−0.343010	+	0.641585i	−0.0120373	+	0.0225152i
$813$	−2.33029	−	32.5818i	−0.0817270	−	1.14269i
$814$	51.8778	−	65.9680i	1.81832	−	2.31218i
$815$	−9.48126	+	20.4421i	−0.332114	+	0.716055i
$816$	16.5774	−	4.02163i	0.580324	−	0.140785i
$817$	−5.44614	−	0.129642i	−0.190536	−	0.00453561i
$818$	−11.7047	−	4.36565i	−0.409247	−	0.152641i
$819$	46.4731	+	23.4413i	1.62390	+	0.819105i
$820$	2.80158	+	10.7071i	0.0978355	+	0.373908i
$821$	−22.3293	−	31.3571i	−0.779297	−	1.09437i	−0.993074	−	0.117487i	$-0.962516\pi$
$821$	−22.3293	−	31.3571i	−0.779297	−	1.09437i	0.213777	−	0.976882i	$-0.431423\pi$
$822$	5.76482	+	6.34152i	0.201071	+	0.221186i
$823$	3.79447	−	31.7357i	0.132267	−	1.10624i	−0.758467	−	0.651711i	$-0.774051\pi$
$823$	3.79447	−	31.7357i	0.132267	−	1.10624i	0.890734	−	0.454525i	$-0.150191\pi$
$824$	−3.73430	−	78.3927i	−0.130091	−	2.73094i
$825$	−70.7835	+	21.7129i	−2.46437	+	0.755946i
$826$	−2.26475	−	4.29934i	−0.0788008	−	0.149593i
$827$	−0.0381187	+	0.0381187i	−0.00132552	+	0.00132552i	−0.707769	−	0.706444i	$-0.750298\pi$
$827$	−0.0381187	+	0.0381187i	−0.00132552	+	0.00132552i	0.706444	+	0.707769i	$0.250298\pi$
$828$	−68.0341	+	62.9939i	−2.36435	+	2.18919i
$829$	−5.00969	+	2.89235i	−0.173994	+	0.100455i	−0.584468	−	0.811417i	$-0.698697\pi$
$829$	−5.00969	+	2.89235i	−0.173994	+	0.100455i	0.410474	+	0.911872i	$0.365363\pi$
$830$	22.8110	−	4.82193i	0.791782	−	0.167372i
$831$	63.2518	−	12.1908i	2.19418	−	0.422893i
$832$	−70.9138	−	15.4263i	−2.45849	−	0.534812i
$833$	−3.88529	+	1.11498i	−0.134617	+	0.0386319i
$834$	−22.7012	+	35.3237i	−0.786078	+	1.22316i
$835$	−14.1179	+	14.6332i	−0.488571	+	0.506403i
$836$	−149.118	−	28.7401i	−5.15735	−	0.993997i
$837$	−8.39609	−	3.59542i	−0.290211	−	0.124276i
$838$	39.7439	+	48.1353i	1.37293	+	1.66281i
$839$	32.9039	+	9.66146i	1.13597	+	0.333551i	0.795051	−	0.606542i	$-0.207444\pi$
$839$	32.9039	+	9.66146i	1.13597	+	0.333551i	0.340918	+	0.940093i	$0.389262\pi$
$840$	12.2134	+	124.033i	0.421401	+	4.27954i
$841$	12.0458	+	26.3766i	0.415372	+	0.909539i
$842$	−73.8554	+	8.83050i	−2.54523	+	0.304319i
$843$	25.1556	+	37.1674i	0.866405	+	1.28011i
$844$	−2.56002	−	26.8097i	−0.0881194	−	0.922828i
$845$	−3.69598	+	29.4422i	−0.127146	+	1.01284i
$846$	−14.1201	−	98.2077i	−0.485460	−	3.37645i
$847$	−47.8433	−	28.5855i	−1.64392	−	0.982209i
$848$	−5.06206	+	70.7768i	−0.173832	+	2.43049i
$849$	14.8465	−	61.1983i	0.509532	−	2.10032i
$850$	4.80494	−	5.96427i	0.164808	−	0.204573i
$851$	−11.3533	−	24.2699i	−0.389185	−	0.831961i
$852$	−121.436	+	32.5388i	−4.16034	+	1.11476i
$853$	4.04836	−	7.41402i	0.138613	−	0.253851i	−0.799146	−	0.601137i	$-0.794715\pi$
$853$	4.04836	−	7.41402i	0.138613	−	0.253851i	0.937759	+	0.347286i	$0.112897\pi$
$854$	−33.6695	−	4.53777i	−1.15215	−	0.155279i
$855$	−1.35613	+	45.6779i	−0.0463787	+	1.56215i
$856$	43.0335	−	107.493i	1.47086	−	3.67402i
$857$	−29.7368	+	27.0326i	−1.01579	+	0.923415i	−0.997076	−	0.0764098i	$-0.975654\pi$
$857$	−29.7368	+	27.0326i	−1.01579	+	0.923415i	−0.0187143	+	0.999825i	$0.505957\pi$
$858$	−155.251	−	128.186i	−5.30019	−	4.37621i
$859$	−14.5514	+	5.03629i	−0.496488	+	0.171836i	−0.563825	−	0.825894i	$-0.690671\pi$
$859$	−14.5514	+	5.03629i	−0.496488	+	0.171836i	0.0673373	+	0.997730i	$0.478550\pi$
$860$	−0.480622	−	11.5136i	−0.0163891	−	0.392611i
$861$	6.20903	+	2.76955i	0.211603	+	0.0943861i
$862$	57.6636	−	31.4867i	1.96403	−	1.07244i
$863$	−0.586971	+	24.6580i	−0.0199807	+	0.839370i	0.897368	+	0.441284i	$0.145477\pi$
$863$	−0.586971	+	24.6580i	−0.0199807	+	0.839370i	−0.917348	+	0.398086i	$0.869675\pi$
$864$	−24.7409	−	17.6179i	−0.841703	−	0.599374i
$865$	29.6825	−	18.8301i	1.00923	−	0.640241i
$866$	11.9530	−	4.13696i	0.406178	−	0.140580i
$867$	40.8354	−	15.2308i	1.38684	−	0.517266i
$868$	−55.1851	−	6.10428i	−1.87310	−	0.207193i
$869$	−19.0534	+	2.73947i	−0.646343	+	0.0929301i
$870$	−0.720467	−	0.444979i	−0.0244261	−	0.0150862i
$871$	44.2077	+	15.3004i	1.49792	+	0.518436i
$872$	102.310	−	2.43544i	3.46467	−	0.0824745i
$873$	63.8496	−	17.1084i	2.16098	−	0.579033i
$874$	−41.3831	+	53.6258i	−1.39980	+	1.81392i
$875$	20.2235	+	21.5873i	0.683678	+	0.729784i
$876$	−19.4599	+	5.71394i	−0.657488	+	0.193056i
$877$	2.36167	+	1.59843i	0.0797480	+	0.0539750i	0.599732	−	0.800201i	$-0.295274\pi$
$877$	2.36167	+	1.59843i	0.0797480	+	0.0539750i	−0.519984	+	0.854176i	$0.674062\pi$
$878$	−47.4692	+	15.1743i	−1.60201	+	0.512106i
$879$	−0.192188	+	0.151138i	−0.00648233	+	0.00509776i
$880$	17.8161	−	141.923i	0.600580	−	4.78423i
$881$	28.6141	+	13.0676i	0.964034	+	0.440260i	0.834313	−	0.551291i	$-0.185864\pi$
$881$	28.6141	+	13.0676i	0.964034	+	0.440260i	0.129721	+	0.991550i	$0.458592\pi$
$882$	59.7220	+	38.9007i	2.01094	+	1.30985i
$883$	12.1268	+	16.1995i	0.408099	+	0.545157i	0.956756	−	0.290891i	$-0.0939516\pi$
$883$	12.1268	+	16.1995i	0.408099	+	0.545157i	−0.548657	+	0.836048i	$0.684861\pi$
$884$	14.8401	+	1.41705i	0.499125	+	0.0476607i
$885$	3.69251	−	1.66014i	0.124122	−	0.0558051i
$886$	9.54326	+	39.3379i	0.320612	+	1.32158i
$887$	−23.1812	−	28.0757i	−0.778349	−	0.942689i	0.221120	−	0.975247i	$-0.429029\pi$
$887$	−23.1812	−	28.0757i	−0.778349	−	0.942689i	−0.999470	+	0.0325578i	$0.989635\pi$
$888$	94.2229	−	70.5344i	3.16192	−	2.36698i
$889$	5.21869	−	9.22629i	0.175029	−	0.309440i
$890$	24.5592	+	6.11112i	0.823225	+	0.204845i
$891$	15.0034	+	29.1025i	0.502633	+	0.974972i
$892$	−19.1075	−	2.28459i	−0.639768	−	0.0764936i
$893$	−15.7977	−	49.4195i	−0.528650	−	1.65376i
$894$	−119.734	+	23.0769i	−4.00452	+	0.771807i
$895$	−8.84044	+	27.1047i	−0.295503	+	0.906010i
$896$	−24.7042	−	8.30661i	−0.825311	−	0.277504i
$897$	−58.8554	+	25.8433i	−1.96512	+	0.862884i
$898$	17.2593	+	64.4125i	0.575950	+	2.14947i
$899$	0.156957	−	0.164612i	0.00523481	−	0.00549012i
$900$	−96.6045	+	3.46371i	−3.22015	+	0.115457i
$901$	−0.172585	−	3.62300i	−0.00574963	−	0.120700i
$902$	−11.8166	−	8.84579i	−0.393450	−	0.294533i
$903$	−5.70419	−	4.19200i	−0.189824	−	0.139501i
$904$	5.32336	−	11.6565i	0.177052	−	0.387690i
$905$	3.37252	+	0.924954i	0.112106	+	0.0307465i
$906$	92.8362	−	37.1660i	3.08427	−	1.23476i
$907$	−6.62914	−	39.4221i	−0.220117	−	1.30899i	−0.847716	−	0.530451i	$-0.822023\pi$
$907$	−6.62914	−	39.4221i	−0.220117	−	1.30899i	0.627599	−	0.778537i	$-0.284038\pi$
$908$	121.080	+	2.88225i	4.01819	+	0.0956507i
$909$	−13.1513	+	44.7892i	−0.436201	+	1.48557i
$910$	−18.7329	+	78.2256i	−0.620991	+	2.59315i
$911$	12.2429	+	1.76027i	0.405626	+	0.0583202i	0.342108	−	0.939660i	$-0.388859\pi$
$911$	12.2429	+	1.76027i	0.405626	+	0.0583202i	0.0635176	+	0.997981i	$0.479768\pi$
$912$	−141.478	−	68.7259i	−4.68481	−	2.27574i
$913$	−14.1711	+	17.1632i	−0.468996	+	0.568019i
$914$	1.35206	−	28.3832i	0.0447221	−	0.938832i
$915$	5.52013	−	27.7617i	0.182490	−	0.917772i
$916$	32.9241	+	51.2309i	1.08784	+	1.69272i
$917$	−12.2717	+	29.3714i	−0.405248	+	0.969930i
$918$	2.94731	+	1.60935i	0.0972758	+	0.0531166i
$919$	20.2061	−	34.9981i	0.666539	−	1.15448i	−0.312326	−	0.949975i	$-0.601108\pi$
$919$	20.2061	−	34.9981i	0.666539	−	1.15448i	0.978866	−	0.204505i	$-0.0655584\pi$
$920$	−71.7032	−	48.1888i	−2.36398	−	1.58874i
$921$	11.2883	+	19.5519i	0.371963	+	0.644258i
$922$	−14.0519	+	8.56507i	−0.462774	+	0.282076i
$923$	−48.7968	−	3.49001i	−1.60616	−	0.114875i
$924$	−137.433	−	141.609i	−4.52120	−	4.65860i
$925$	7.54689	−	26.8960i	0.248140	−	0.884336i
$926$	−4.08250	+	2.10468i	−0.134159	+	0.0691640i
$927$	23.8076	−	28.8343i	0.781944	−	0.947042i
$928$	0.626378	−	0.423945i	0.0205619	−	0.0139167i
$929$	5.52655	−	7.02757i	0.181320	−	0.230567i	−0.686893	−	0.726758i	$-0.741026\pi$
$929$	5.52655	−	7.02757i	0.181320	−	0.230567i	0.868213	+	0.496191i	$0.165268\pi$
$930$	11.0913	−	63.6661i	0.363699	−	2.08769i
$931$	34.1709	+	14.8815i	1.11991	+	0.487723i
$932$	−21.8662	−	40.0450i	−0.716253	−	1.31172i
$933$	−23.0185	+	19.0057i	−0.753592	+	0.622218i
$934$	52.8270	−	21.1488i	1.72855	−	0.692009i
$935$	−0.0429941	+	7.31143i	−0.00140606	+	0.239109i
$936$	−91.9323	−	129.101i	−3.00490	−	4.21979i
$937$	28.9619	−	6.30028i	0.946145	−	0.205821i	0.287079	−	0.957907i	$-0.407316\pi$
$937$	28.9619	−	6.30028i	0.946145	−	0.205821i	0.659065	+	0.752086i	$0.270952\pi$
$938$	57.8644	+	27.4798i	1.88934	+	0.897246i
$939$	6.66554	−	4.28368i	0.217522	−	0.139793i
$940$	102.127	−	40.1901i	3.33100	−	1.31086i
$941$	−5.53505	+	5.80500i	−0.180438	+	0.189237i	−0.807741	−	0.589537i	$-0.799310\pi$
$941$	−5.53505	+	5.80500i	−0.180438	+	0.189237i	0.627304	+	0.778775i	$0.284159\pi$
$942$	51.3077	+	13.7479i	1.67170	+	0.447929i
$943$	−4.21996	+	2.09788i	−0.137421	+	0.0683165i
$944$			7.82146i			0.254567i
$945$	−7.74164	+	10.4055i	−0.251836	+	0.338492i
$946$	10.0646	+	11.6152i	0.327228	+	0.377641i
$947$	13.2960	−	14.6261i	0.432062	−	0.475285i	−0.484721	−	0.874669i	$-0.661079\pi$
$947$	13.2960	−	14.6261i	0.432062	−	0.475285i	0.916784	+	0.399384i	$0.130776\pi$
$948$	−44.4588	−	5.31570i	−1.44396	−	0.172646i
$949$	−7.88315	−	0.375521i	−0.255898	−	0.0121899i
$950$	−69.1785	+	14.1989i	−2.24445	+	0.460673i
$951$	−42.1563	+	48.6510i	−1.36701	+	1.57762i
$952$	12.0492	+	2.50989i	0.390517	+	0.0813459i
$953$	−9.16519	+	24.5728i	−0.296890	+	0.795992i	0.699773	+	0.714365i	$0.253284\pi$
$953$	−9.16519	+	24.5728i	−0.296890	+	0.795992i	−0.996663	+	0.0816268i	$0.973988\pi$
$954$	−46.2874	+	44.1349i	−1.49861	+	1.42892i
$955$	−52.0885	−	19.7777i	−1.68555	−	0.639991i
$956$	61.2479	−	86.0107i	1.98090	−	2.78178i
$957$	0.802677	−	0.0959717i	0.0259468	−	0.00310233i
$958$	−49.1430	+	3.51477i	−1.58774	+	0.113557i
$959$	0.948561	+	3.12802i	0.0306306	+	0.101009i
$960$	31.2228	−	76.6809i	1.00771	−	2.47486i
$961$	−12.6648	−	5.07023i	−0.408543	−	0.163556i
$962$	72.3555	−	23.1295i	2.33284	−	0.745726i
$963$	49.6219	−	24.1048i	1.59904	−	0.776768i
$964$	−25.4115	+	104.748i	−0.818448	+	3.37369i
$965$	4.00458	−	0.747424i	0.128912	−	0.0240604i
$966$	−83.9944	+	26.3128i	−2.70248	+	0.846601i
$967$	9.80766	+	9.80766i	0.315393	+	0.315393i	0.846995	−	0.531601i	$-0.178410\pi$
$967$	9.80766	+	9.80766i	0.315393	+	0.315393i	−0.531601	+	0.846995i	$0.678410\pi$
$968$	88.3234	+	144.904i	2.83882	+	4.65738i
$969$	7.59780	+	2.62962i	0.244076	+	0.0844757i
$970$	48.4283	+	89.9432i	1.55494	+	2.88790i
$971$	−15.8133	+	39.4996i	−0.507472	+	1.26760i	0.424616	+	0.905373i	$0.360409\pi$
$971$	−15.8133	+	39.4996i	−0.507472	+	1.26760i	−0.932088	+	0.362231i	$0.882015\pi$
$972$	23.2307	+	106.790i	0.745127	+	3.42529i
$973$	−13.6006	+	8.45568i	−0.436016	+	0.271077i
$974$	−30.0149	−	26.0080i	−0.961739	−	0.833351i
$975$	−64.0748	−	19.6355i	−2.05203	−	0.628838i
$976$	44.5436	+	31.7194i	1.42581	+	1.01531i
$977$	−33.0516	−	20.1460i	−1.05741	−	0.644527i	−0.120010	−	0.992773i	$-0.538293\pi$
$977$	−33.0516	−	20.1460i	−1.05741	−	0.644527i	−0.937403	+	0.348246i	$0.886777\pi$
$978$	1.66361	−	69.8864i	0.0531963	−	2.23472i
$979$	−21.9768	+	10.0365i	−0.702380	+	0.320766i
$980$	−26.6793	+	74.1888i	−0.852239	+	2.36987i
$981$	36.8503	+	31.9309i	1.17654	+	1.01948i
$982$	−17.2298	+	102.462i	−0.549824	+	3.26968i
$983$	39.0414	−	35.4910i	1.24523	−	1.13199i	0.259127	−	0.965843i	$-0.416565\pi$
$983$	39.0414	−	35.4910i	1.24523	−	1.13199i	0.986101	−	0.166145i	$-0.0531319\pi$
$984$	−12.7968	−	16.2724i	−0.407946	−	0.518746i
$985$	−32.2772	+	7.62969i	−1.02844	+	0.243102i
$986$	−0.0631992	+	0.0547624i	−0.00201267	+	0.00174399i
$987$	19.9600	−	64.3962i	0.635335	−	2.04975i
$988$	−97.1968	−	97.1968i	−3.09224	−	3.09224i
$989$	4.75777	−	1.20044i	0.151288	−	0.0381716i
$990$	97.9289	−	83.8527i	3.11238	−	2.66501i
$991$	21.0997	+	20.1186i	0.670255	+	0.639087i	0.946766	−	0.321924i	$-0.104329\pi$
$991$	21.0997	+	20.1186i	0.670255	+	0.639087i	−0.276510	+	0.961011i	$0.589178\pi$
$992$	47.8028	+	32.3539i	1.51774	+	1.02724i
$993$	−0.319113	+	1.46694i	−0.0101268	+	0.0465519i
$994$	−65.8882	−	12.0963i	−2.08985	−	0.383672i
$995$	17.0996	+	40.5892i	0.542092	+	1.28676i
$996$	−42.1728	+	30.0311i	−1.33630	+	0.951571i
$997$	−19.6948	−	29.0990i	−0.623740	−	0.921575i	0.376248	−	0.926519i	$-0.377214\pi$
$997$	−19.6948	−	29.0990i	−0.623740	−	0.921575i	−0.999988	+	0.00494376i	$0.998426\pi$
$998$	−36.2642	+	84.6850i	−1.14792	+	2.68066i
$999$	12.1925	+	1.16425i	0.385754	+	0.0368351i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	805.2.bs.a.37.3	✓	3680
5.3	odd	4	inner	805.2.bs.a.198.90	yes	3680
7.4	even	3	inner	805.2.bs.a.382.3	yes	3680
23.5	odd	22	inner	805.2.bs.a.212.3	yes	3680
35.18	odd	12	inner	805.2.bs.a.543.3	yes	3680
115.28	even	44	inner	805.2.bs.a.373.3	yes	3680
161.74	odd	66	inner	805.2.bs.a.557.90	yes	3680
805.718	even	132	inner	805.2.bs.a.718.3	yes	3680

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
805.2.bs.a.37.3	✓	3680	1.1	even	1	trivial
805.2.bs.a.198.90	yes	3680	5.3	odd	4	inner
805.2.bs.a.212.3	yes	3680	23.5	odd	22	inner
805.2.bs.a.373.3	yes	3680	115.28	even	44	inner
805.2.bs.a.382.3	yes	3680	7.4	even	3	inner
805.2.bs.a.543.3	yes	3680	35.18	odd	12	inner
805.2.bs.a.557.90	yes	3680	161.74	odd	66	inner
805.2.bs.a.718.3	yes	3680	805.718	even	132	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:	\( N \)	\(=\)	\( 805 = 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	805.bs (of order \(132\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.26511 + 1.38065i) q^{2} +(1.14262 + 2.35218i) q^{3} +(2.30804 - 4.47698i) q^{4} +(1.24242 + 1.85914i) q^{5} +(-5.83570 - 3.75038i) q^{6} +(-1.39693 - 2.24691i) q^{7} +(0.574713 + 8.03553i) q^{8} +(-2.37270 + 3.01713i) q^{9} +O(q^{10})\)	\(q+(-2.26511 + 1.38065i) q^{2} +(1.14262 + 2.35218i) q^{3} +(2.30804 - 4.47698i) q^{4} +(1.24242 + 1.85914i) q^{5} +(-5.83570 - 3.75038i) q^{6} +(-1.39693 - 2.24691i) q^{7} +(0.574713 + 8.03553i) q^{8} +(-2.37270 + 3.01713i) q^{9} +(-5.38104 - 2.49578i) q^{10} +(5.50297 - 1.33501i) q^{11} +(13.1679 + 0.313454i) q^{12} +(4.80230 + 1.79116i) q^{13} +(6.26639 + 3.16080i) q^{14} +(-2.95341 + 5.04668i) q^{15} +(-6.55269 - 9.20196i) q^{16} +(0.388424 + 0.427281i) q^{17} +(1.20880 - 10.1100i) q^{18} +(-0.253345 - 5.31837i) q^{19} +(11.1909 - 1.27133i) q^{20} +(3.68897 - 5.85319i) q^{21} +(-10.6216 + 10.6216i) q^{22} +(1.50201 + 4.55455i) q^{23} +(-18.2443 + 10.5334i) q^{24} +(-1.91277 + 4.61966i) q^{25} +(-13.3507 + 2.57313i) q^{26} +(-2.14215 - 0.465995i) q^{27} +(-13.2835 + 1.06807i) q^{28} +(0.0295149 - 0.0459261i) q^{29} +(-0.277943 - 15.5089i) q^{30} +(4.09100 + 0.788475i) q^{31} +(12.7360 + 5.45388i) q^{32} +(9.42797 + 11.4186i) q^{33} +(-1.46975 - 0.431557i) q^{34} +(2.44173 - 5.38869i) q^{35} +(8.03135 + 17.5862i) q^{36} +(-5.54745 + 0.663278i) q^{37} +(7.91668 + 11.6969i) q^{38} +(1.27405 + 13.3425i) q^{39} +(-14.2251 + 11.0520i) q^{40} +(0.139847 + 0.972657i) q^{41} +(-0.274684 + 18.3513i) q^{42} +(0.0729910 - 1.02055i) q^{43} +(6.72430 - 27.7179i) q^{44} +(-8.55715 - 0.662617i) q^{45} +(-9.69048 - 8.24278i) q^{46} +(9.41238 - 2.52204i) q^{47} +(14.1574 - 25.9274i) q^{48} +(-3.09718 + 6.27754i) q^{49} +(-2.04552 - 13.1049i) q^{50} +(-0.561221 + 1.40186i) q^{51} +(19.1029 - 17.3657i) q^{52} +(-4.84364 - 3.99925i) q^{53} +(5.49557 - 1.90203i) q^{54} +(9.31897 + 8.57213i) q^{55} +(17.2523 - 12.5164i) q^{56} +(12.2203 - 6.67278i) q^{57} +(-0.00344635 + 0.144777i) q^{58} +(-0.563989 - 0.401615i) q^{59} +(15.7773 + 24.8703i) q^{60} +(-4.57444 + 1.58323i) q^{61} +(-10.3552 + 3.86227i) q^{62} +(10.0937 + 1.11651i) q^{63} +(-14.0151 + 2.01506i) q^{64} +(2.63646 + 11.1535i) q^{65} +(-37.1204 - 12.8475i) q^{66} +(9.12453 - 0.217204i) q^{67} +(2.80943 - 0.752784i) q^{68} +(-8.99690 + 8.73713i) q^{69} +(1.90914 + 15.5771i) q^{70} +(-9.15816 + 2.68908i) q^{71} +(-25.6079 - 17.3319i) q^{72} +(-1.46667 + 0.468843i) q^{73} +(11.6498 - 9.16150i) q^{74} +(-13.0519 + 0.779326i) q^{75} +(-24.3950 - 11.1408i) q^{76} +(-10.6869 - 10.4997i) q^{77} +(-21.3072 - 28.4631i) q^{78} +(-3.38400 - 0.323133i) q^{79} +(8.96649 - 23.6151i) q^{80} +(1.36321 + 5.61923i) q^{81} +(-1.65967 - 2.01009i) q^{82} +(-3.14663 + 2.35553i) q^{83} +(-17.6903 - 30.0249i) q^{84} +(-0.311786 + 1.25300i) q^{85} +(1.24369 + 2.41242i) q^{86} +(0.141751 + 0.0169484i) q^{87} +(13.8901 + 43.4520i) q^{88} +(-4.18951 + 0.807461i) q^{89} +(20.2977 - 10.3136i) q^{90} +(-2.68389 - 13.2924i) q^{91} +(23.8574 + 3.78762i) q^{92} +(2.81982 + 10.5237i) q^{93} +(-17.8380 + 18.7079i) q^{94} +(9.57281 - 7.07866i) q^{95} +(1.72390 + 36.1891i) q^{96} +(-13.7866 - 10.3205i) q^{97} +(-1.65168 - 18.4954i) q^{98} +(-9.02899 + 19.7707i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8}+O(q^{10}) \) 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8	\( 3680 q - 18 q^{2} - 18 q^{3} - 22 q^{5} - 160 q^{6} - 44 q^{7} - 56 q^{8} - 22 q^{10} - 44 q^{11} + 14 q^{12} - 72 q^{13} - 88 q^{15} - 196 q^{16} - 22 q^{17} - 62 q^{18} - 88 q^{20} - 88 q^{21} - 44 q^{23} - 30 q^{25} - 28 q^{26} - 48 q^{27} + 132 q^{28} - 22 q^{30} - 40 q^{31} - 50 q^{32} - 22 q^{33} - 40 q^{35} - 416 q^{36} - 110 q^{37} - 22 q^{38} - 22 q^{40} - 192 q^{41} - 264 q^{42} - 88 q^{43} - 44 q^{47} + 24 q^{48} - 44 q^{51} - 374 q^{52} - 22 q^{53} - 32 q^{55} - 220 q^{56} + 88 q^{57} - 58 q^{58} - 22 q^{60} - 220 q^{61} + 8 q^{62} - 44 q^{63} - 22 q^{65} - 44 q^{66} - 22 q^{67} - 96 q^{70} - 136 q^{71} - 46 q^{72} + 18 q^{73} - 34 q^{75} - 176 q^{76} - 116 q^{77} + 80 q^{78} + 176 q^{80} - 236 q^{81} - 2 q^{82} - 88 q^{83} - 448 q^{85} - 86 q^{87} - 110 q^{88} - 88 q^{90} - 228 q^{92} + 4 q^{93} - 236 q^{95} - 332 q^{96} - 88 q^{97} + 84 q^{98}+O(q^{100}) \) 3680 * q - 18 * q^2 - 18 * q^3 - 22 * q^5 - 160 * q^6 - 44 * q^7 - 56 * q^8 - 22 * q^10 - 44 * q^11 + 14 * q^12 - 72 * q^13 - 88 * q^15 - 196 * q^16 - 22 * q^17 - 62 * q^18 - 88 * q^20 - 88 * q^21 - 44 * q^23 - 30 * q^25 - 28 * q^26 - 48 * q^27 + 132 * q^28 - 22 * q^30 - 40 * q^31 - 50 * q^32 - 22 * q^33 - 40 * q^35 - 416 * q^36 - 110 * q^37 - 22 * q^38 - 22 * q^40 - 192 * q^41 - 264 * q^42 - 88 * q^43 - 44 * q^47 + 24 * q^48 - 44 * q^51 - 374 * q^52 - 22 * q^53 - 32 * q^55 - 220 * q^56 + 88 * q^57 - 58 * q^58 - 22 * q^60 - 220 * q^61 + 8 * q^62 - 44 * q^63 - 22 * q^65 - 44 * q^66 - 22 * q^67 - 96 * q^70 - 136 * q^71 - 46 * q^72 + 18 * q^73 - 34 * q^75 - 176 * q^76 - 116 * q^77 + 80 * q^78 + 176 * q^80 - 236 * q^81 - 2 * q^82 - 88 * q^83 - 448 * q^85 - 86 * q^87 - 110 * q^88 - 88 * q^90 - 228 * q^92 + 4 * q^93 - 236 * q^95 - 332 * q^96 - 88 * q^97 + 84 * q^98

Introduction

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