LMFDB - Embedded newform 637.2.bl.b.534.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [637,2,Mod(53,637)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(637, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([10, 0]))

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

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

chi := DirichletCharacter("637.53");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 637 = 7^{2} \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	637.bl (of order $21$, degree $12$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$5.08647060876$
Analytic rank:	$0$
Dimension:	$348$
Relative dimension:	$29$ over $\Q(\zeta_{21})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label			534.1
Character	$\chi$	$=$	637.534
Dual form			637.2.bl.b.235.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.77110 + 0.417676i) q^{2} +(-1.04851 - 0.714861i) q^{3} +(5.59337 - 1.72533i) q^{4} +(-0.263133 + 3.51127i) q^{5} +(3.20410 + 1.54301i) q^{6} +(-2.12498 - 1.57621i) q^{7} +(-9.72941 + 4.68544i) q^{8} +(-0.507680 - 1.29355i) q^{9} +O(q^{10})$	\(q+(-2.77110 + 0.417676i) q^{2} +(-1.04851 - 0.714861i) q^{3} +(5.59337 - 1.72533i) q^{4} +(-0.263133 + 3.51127i) q^{5} +(3.20410 + 1.54301i) q^{6} +(-2.12498 - 1.57621i) q^{7} +(-9.72941 + 4.68544i) q^{8} +(-0.507680 - 1.29355i) q^{9} +(-0.737404 - 9.83997i) q^{10} +(-0.624995 + 1.59246i) q^{11} +(-7.09807 - 2.18946i) q^{12} +(0.623490 + 0.781831i) q^{13} +(6.54688 + 3.48029i) q^{14} +(2.78597 - 3.49349i) q^{15} +(15.3315 - 10.4528i) q^{16} +(1.71441 - 1.59074i) q^{17} +(1.94711 + 3.37250i) q^{18} +(0.726022 - 1.25751i) q^{19} +(4.58629 + 20.0938i) q^{20} +(1.10129 + 3.17174i) q^{21} +(1.06679 - 4.67391i) q^{22} +(-6.44619 - 5.98119i) q^{23} +(13.5508 + 2.04245i) q^{24} +(-7.31562 - 1.10265i) q^{25} +(-2.05430 - 1.90611i) q^{26} +(-1.23955 + 5.43080i) q^{27} +(-14.6053 - 5.15006i) q^{28} +(1.18359 + 5.18566i) q^{29} +(-6.26103 + 10.8444i) q^{30} +(-0.377091 - 0.653141i) q^{31} +(-22.2869 + 20.6792i) q^{32} +(1.79370 - 1.22292i) q^{33} +(-4.08638 + 5.12416i) q^{34} +(6.09367 - 7.04663i) q^{35} +(-5.07144 - 6.35938i) q^{36} +(-2.07059 - 0.638692i) q^{37} +(-1.48665 + 3.78791i) q^{38} +(-0.0948335 - 1.26546i) q^{39} +(-13.8917 - 35.3955i) q^{40} +(5.55007 - 2.67277i) q^{41} +(-4.37653 - 8.32921i) q^{42} +(6.52201 + 3.14083i) q^{43} +(-0.748314 + 9.98556i) q^{44} +(4.67558 - 1.44223i) q^{45} +(20.3612 + 13.8820i) q^{46} +(4.00122 - 0.603087i) q^{47} -23.5475 q^{48} +(2.03110 + 6.69885i) q^{49} +20.7328 q^{50} +(-2.93473 + 0.442339i) q^{51} +(4.83633 + 3.29735i) q^{52} +(6.04984 - 1.86613i) q^{53} +(1.16659 - 15.5670i) q^{54} +(-5.42711 - 2.61356i) q^{55} +(28.0601 + 5.37915i) q^{56} +(-1.66018 + 0.799501i) q^{57} +(-5.44577 - 13.8756i) q^{58} +(-0.756340 - 10.0927i) q^{59} +(9.55554 - 24.3471i) q^{60} +(4.30480 + 1.32785i) q^{61} +(1.31776 + 1.65242i) q^{62} +(-0.960096 + 3.54898i) q^{63} +(29.9833 - 37.5979i) q^{64} +(-2.90928 + 1.98352i) q^{65} +(-4.45973 + 4.13803i) q^{66} +(3.13878 + 5.43653i) q^{67} +(6.84479 - 11.8555i) q^{68} +(2.48317 + 10.8795i) q^{69} +(-13.9429 + 22.0721i) q^{70} +(0.304819 - 1.33550i) q^{71} +(11.0003 + 10.2067i) q^{72} +(-2.07697 - 0.313053i) q^{73} +(6.00457 + 0.905043i) q^{74} +(6.88225 + 6.38579i) q^{75} +(1.89130 - 8.28633i) q^{76} +(3.83816 - 2.39883i) q^{77} +(0.791346 + 3.46711i) q^{78} +(5.18567 - 8.98184i) q^{79} +(32.6685 + 56.5834i) q^{80} +(2.12598 - 1.97262i) q^{81} +(-14.2634 + 9.72464i) q^{82} +(9.20597 - 11.5439i) q^{83} +(11.6322 + 15.8406i) q^{84} +(5.13440 + 6.43833i) q^{85} +(-19.3850 - 5.97947i) q^{86} +(2.46602 - 6.28331i) q^{87} +(-1.38054 - 18.4221i) q^{88} +(1.15815 + 2.95091i) q^{89} +(-12.3541 + 5.94942i) q^{90} +(-0.0925716 - 2.64413i) q^{91} +(-46.3755 - 22.3333i) q^{92} +(-0.0715218 + 0.954392i) q^{93} +(-10.8359 + 3.34242i) q^{94} +(4.22441 + 2.88015i) q^{95} +(38.1507 - 5.75030i) q^{96} +10.8826 q^{97} +(-8.42633 - 17.7148i) q^{98} +2.37722 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9}+O(q^{10}) $ 348 * q + 3 * q^2 + 31 * q^4 + q^5 - 4 * q^6 + 27 * q^7 - 12 * q^8 + 13 * q^9	\( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99}+O(q^{100}) \) 348 * q + 3 * q^2 + 31 * q^4 + q^5 - 4 * q^6 + 27 * q^7 - 12 * q^8 + 13 * q^9 - 5 * q^10 + 2 * q^11 - 40 * q^12 - 58 * q^13 - 45 * q^14 - 14 * q^15 + 27 * q^16 - 12 * q^17 - 59 * q^18 - 24 * q^19 - 99 * q^20 - 2 * q^21 - 10 * q^22 - 14 * q^23 + 28 * q^25 + 3 * q^26 - 9 * q^27 - 37 * q^28 - 26 * q^29 - 83 * q^30 - 49 * q^31 + 33 * q^32 + 2 * q^33 - 130 * q^34 - 38 * q^35 - 74 * q^36 - 4 * q^37 + 92 * q^38 + 24 * q^40 + 20 * q^41 - 52 * q^42 + 2 * q^43 + 226 * q^44 - 23 * q^45 + 71 * q^46 + 24 * q^47 + 86 * q^48 + 25 * q^49 + 114 * q^50 - 54 * q^51 + 31 * q^52 + 36 * q^53 + 75 * q^54 + 38 * q^55 + 126 * q^56 + 27 * q^57 - 33 * q^58 + q^59 - 179 * q^60 - 15 * q^61 + 158 * q^62 - 5 * q^63 - 24 * q^64 + q^65 - 150 * q^66 - 151 * q^67 + 140 * q^68 - 98 * q^69 - 126 * q^70 - 31 * q^71 - 149 * q^72 - 9 * q^73 + 39 * q^74 + 85 * q^75 - 81 * q^76 + 46 * q^77 - 25 * q^78 - 69 * q^79 - 64 * q^80 + 71 * q^81 - 52 * q^82 - q^83 - 47 * q^84 + 62 * q^85 + 97 * q^86 + 150 * q^87 - 12 * q^88 + 23 * q^89 + 107 * q^90 - q^91 - 43 * q^92 + 316 * q^93 - 86 * q^94 - 29 * q^95 + 177 * q^96 + 114 * q^97 - 336 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/637\mathbb{Z}\right)^\times$.

$n$	$197$	$248$
$\chi(n)$	$1$	$e\left(\frac{4}{21}\right)$

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 $

$2$	−2.77110	+	0.417676i	−1.95946	+	0.295341i	−0.959556	+	0.281517i	$0.909162\pi$
$2$	−2.77110	+	0.417676i	−1.95946	+	0.295341i	−0.999904	+	0.0138244i	$0.995599\pi$
$3$	−1.04851	−	0.714861i	−0.605356	−	0.412725i	0.221482	−	0.975164i	$-0.428911\pi$
$3$	−1.04851	−	0.714861i	−0.605356	−	0.412725i	−0.826838	+	0.562439i	$0.809863\pi$
$4$	5.59337	−	1.72533i	2.79669	−	0.862664i
$5$	−0.263133	+	3.51127i	−0.117677	+	1.57029i	0.555950	+	0.831216i	$0.312355\pi$
$5$	−0.263133	+	3.51127i	−0.117677	+	1.57029i	−0.673627	+	0.739072i	$0.735264\pi$
$6$	3.20410	+	1.54301i	1.30807	+	0.629932i
$7$	−2.12498	−	1.57621i	−0.803168	−	0.595753i
$7$	−2.12498	−	1.57621i	−0.803168	−	0.595753i
$8$	−9.72941	+	4.68544i	−3.43986	+	1.65655i
$9$	−0.507680	−	1.29355i	−0.169227	−	0.431182i
$10$	−0.737404	−	9.83997i	−0.233188	−	3.11167i
$11$	−0.624995	+	1.59246i	−0.188443	+	0.480145i	−0.993605	−	0.112909i	$-0.963983\pi$
$11$	−0.624995	+	1.59246i	−0.188443	+	0.480145i	0.805162	+	0.593055i	$0.202078\pi$
$12$	−7.09807	−	2.18946i	−2.04904	−	0.632044i
$13$	0.623490	+	0.781831i	0.172925	+	0.216841i
$13$	0.623490	+	0.781831i	0.172925	+	0.216841i
$14$	6.54688	+	3.48029i	1.74973	+	0.930145i
$15$	2.78597	−	3.49349i	0.719333	−	0.902016i
$16$	15.3315	−	10.4528i	3.83287	−	2.61321i
$17$	1.71441	−	1.59074i	0.415805	−	0.385811i	−0.444342	−	0.895857i	$-0.646562\pi$
$17$	1.71441	−	1.59074i	0.415805	−	0.385811i	0.860147	+	0.510047i	$0.170372\pi$
$18$	1.94711	+	3.37250i	0.458939	+	0.794905i
$19$	0.726022	−	1.25751i	0.166561	−	0.288492i	−0.770648	−	0.637262i	$-0.780067\pi$
$19$	0.726022	−	1.25751i	0.166561	−	0.288492i	0.937208	+	0.348770i	$0.113400\pi$
$20$	4.58629	+	20.0938i	1.02553	+	4.49312i
$21$	1.10129	+	3.17174i	0.240321	+	0.692130i
$22$	1.06679	−	4.67391i	0.227440	−	0.996481i
$23$	−6.44619	−	5.98119i	−1.34412	−	1.24716i	−0.943687	−	0.330841i	$-0.892668\pi$
$23$	−6.44619	−	5.98119i	−1.34412	−	1.24716i	−0.400438	−	0.916324i	$-0.631142\pi$
$24$	13.5508	+	2.04245i	2.76604	+	0.416914i
$25$	−7.31562	−	1.10265i	−1.46312	−	0.220531i
$26$	−2.05430	−	1.90611i	−0.402882	−	0.373820i
$27$	−1.23955	+	5.43080i	−0.238551	+	1.04516i
$28$	−14.6053	−	5.15006i	−2.76014	−	0.973270i
$29$	1.18359	+	5.18566i	0.219788	+	0.962953i	0.957635	+	0.287985i	$0.0929854\pi$
$29$	1.18359	+	5.18566i	0.219788	+	0.962953i	−0.737847	+	0.674968i	$0.764157\pi$
$30$	−6.26103	+	10.8444i	−1.14310	+	1.97991i
$31$	−0.377091	−	0.653141i	−0.0677276	−	0.117308i	0.830173	−	0.557506i	$-0.188242\pi$
$31$	−0.377091	−	0.653141i	−0.0677276	−	0.117308i	−0.897901	+	0.440198i	$0.854908\pi$
$32$	−22.2869	+	20.6792i	−3.93980	+	3.65560i
$33$	1.79370	−	1.22292i	0.312243	−	0.212884i
$34$	−4.08638	+	5.12416i	−0.700808	+	0.878786i
$35$	6.09367	−	7.04663i	1.03002	−	1.19110i
$36$	−5.07144	−	6.35938i	−0.845239	−	1.05990i
$37$	−2.07059	−	0.638692i	−0.340403	−	0.105000i	0.119841	−	0.992793i	$-0.461762\pi$
$37$	−2.07059	−	0.638692i	−0.340403	−	0.105000i	−0.460243	+	0.887793i	$0.652238\pi$
$38$	−1.48665	+	3.78791i	−0.241166	+	0.614481i
$39$	−0.0948335	−	1.26546i	−0.0151855	−	0.202637i
$40$	−13.8917	−	35.3955i	−2.19647	−	5.59651i
$41$	5.55007	−	2.67277i	0.866776	−	0.417417i	0.0529989	−	0.998595i	$-0.483122\pi$
$41$	5.55007	−	2.67277i	0.866776	−	0.417417i	0.813777	+	0.581177i	$0.197408\pi$
$42$	−4.37653	−	8.32921i	−0.675314	−	1.28523i
$43$	6.52201	+	3.14083i	0.994596	+	0.478972i	0.859101	−	0.511806i	$-0.171023\pi$
$43$	6.52201	+	3.14083i	0.994596	+	0.478972i	0.135495	+	0.990778i	$0.456737\pi$
$44$	−0.748314	+	9.98556i	−0.112813	+	1.50538i
$45$	4.67558	−	1.44223i	0.696994	−	0.214994i
$46$	20.3612	+	13.8820i	3.00210	+	2.04680i
$47$	4.00122	−	0.603087i	0.583638	−	0.0879693i	0.149415	−	0.988775i	$-0.452261\pi$
$47$	4.00122	−	0.603087i	0.583638	−	0.0879693i	0.434223	+	0.900805i	$0.357023\pi$
$48$	−23.5475			−3.39879
$49$	2.03110	+	6.69885i	0.290157	+	0.956979i
$50$	20.7328			2.93207
$51$	−2.93473	+	0.442339i	−0.410944	+	0.0619399i
$52$	4.83633	+	3.29735i	0.670678	+	0.457260i
$53$	6.04984	−	1.86613i	0.831010	−	0.256333i	0.150073	−	0.988675i	$-0.452049\pi$
$53$	6.04984	−	1.86613i	0.831010	−	0.256333i	0.680937	+	0.732342i	$0.261573\pi$
$54$	1.16659	−	15.5670i	0.158752	−	2.11840i
$55$	−5.42711	−	2.61356i	−0.731791	−	0.352412i
$56$	28.0601	+	5.37915i	3.74968	+	0.718820i
$57$	−1.66018	+	0.799501i	−0.219896	+	0.105897i
$58$	−5.44577	−	13.8756i	−0.715065	−	1.82196i
$59$	−0.756340	−	10.0927i	−0.0984671	−	1.31395i	−0.799432	−	0.600757i	$-0.794866\pi$
$59$	−0.756340	−	10.0927i	−0.0984671	−	1.31395i	0.700965	−	0.713196i	$-0.252753\pi$
$60$	9.55554	−	24.3471i	1.23361	−	3.14320i
$61$	4.30480	+	1.32785i	0.551173	+	0.170014i	0.557818	−	0.829964i	$-0.311639\pi$
$61$	4.30480	+	1.32785i	0.551173	+	0.170014i	−0.00664459	+	0.999978i	$0.502115\pi$
$62$	1.31776	+	1.65242i	0.167355	+	0.209857i
$63$	−0.960096	+	3.54898i	−0.120961	+	0.447129i
$64$	29.9833	−	37.5979i	3.74791	−	4.69973i
$65$	−2.90928	+	1.98352i	−0.360852	+	0.246025i
$66$	−4.45973	+	4.13803i	−0.548955	+	0.509356i
$67$	3.13878	+	5.43653i	0.383463	+	0.664178i	0.991555	−	0.129689i	$-0.0413979\pi$
$67$	3.13878	+	5.43653i	0.383463	+	0.664178i	−0.608091	+	0.793867i	$0.708065\pi$
$68$	6.84479	−	11.8555i	0.830052	−	1.43769i
$69$	2.48317	+	10.8795i	0.298938	+	1.30973i
$70$	−13.9429	+	22.0721i	−1.66650	+	2.63812i
$71$	0.304819	−	1.33550i	0.0361754	−	0.158495i	−0.953614	−	0.301032i	$-0.902669\pi$
$71$	0.304819	−	1.33550i	0.0361754	−	0.158495i	0.989789	+	0.142537i	$0.0455261\pi$
$72$	11.0003	+	10.2067i	1.29639	+	1.20288i
$73$	−2.07697	−	0.313053i	−0.243091	−	0.0366401i	0.0263666	−	0.999652i	$-0.491606\pi$
$73$	−2.07697	−	0.313053i	−0.243091	−	0.0366401i	−0.269458	+	0.963012i	$0.586844\pi$
$74$	6.00457	+	0.905043i	0.698017	+	0.105209i
$75$	6.88225	+	6.38579i	0.794693	+	0.737368i
$76$	1.89130	−	8.28633i	0.216947	−	0.950507i
$77$	3.83816	−	2.39883i	0.437399	−	0.273372i
$78$	0.791346	+	3.46711i	0.0896023	+	0.392573i
$79$	5.18567	−	8.98184i	0.583433	−	1.01054i	−0.411636	−	0.911348i	$-0.635042\pi$
$79$	5.18567	−	8.98184i	0.583433	−	1.01054i	0.995069	−	0.0991871i	$-0.0316242\pi$
$80$	32.6685	+	56.5834i	3.65244	+	6.32622i
$81$	2.12598	−	1.97262i	0.236220	−	0.219180i
$82$	−14.2634	+	9.72464i	−1.57513	+	1.07391i
$83$	9.20597	−	11.5439i	1.01049	−	1.26711i	0.0471295	−	0.998889i	$-0.484993\pi$
$83$	9.20597	−	11.5439i	1.01049	−	1.26711i	0.963357	−	0.268222i	$-0.0864359\pi$
$84$	11.6322	+	15.8406i	1.26918	+	1.72836i
$85$	5.13440	+	6.43833i	0.556904	+	0.698335i
$86$	−19.3850	−	5.97947i	−2.09033	−	0.644782i
$87$	2.46602	−	6.28331i	0.264385	−	0.673642i
$88$	−1.38054	−	18.4221i	−0.147167	−	1.96380i
$89$	1.15815	+	2.95091i	0.122763	+	0.312796i	0.979023	−	0.203750i	$-0.0653129\pi$
$89$	1.15815	+	2.95091i	0.122763	+	0.312796i	−0.856260	+	0.516546i	$0.827218\pi$
$90$	−12.3541	+	5.94942i	−1.30224	+	0.627124i
$91$	−0.0925716	−	2.64413i	−0.00970414	−	0.277180i
$92$	−46.3755	−	22.3333i	−4.83498	−	2.32840i
$93$	−0.0715218	+	0.954392i	−0.00741646	+	0.0989658i
$94$	−10.8359	+	3.34242i	−1.11764	+	0.344745i
$95$	4.22441	+	2.88015i	0.433415	+	0.295497i
$96$	38.1507	−	5.75030i	3.89374	−	0.586887i
$97$	10.8826			1.10496			0.552478	−	0.833527i	$-0.313682\pi$
$97$	10.8826			1.10496			0.552478	+	0.833527i	$0.313682\pi$
$98$	−8.42633	−	17.7148i	−0.851187	−	1.78947i
$99$	2.37722			0.238920
$100$	−42.8215	+	6.45430i	−4.28215	+	0.645430i
$101$	4.00122	+	2.72799i	0.398136	+	0.271445i	0.745794	−	0.666177i	$-0.232070\pi$
$101$	4.00122	+	2.72799i	0.398136	+	0.271445i	−0.347658	+	0.937622i	$0.613023\pi$
$102$	7.94766	−	2.45153i	0.786936	−	0.242737i
$103$	1.26055	−	16.8209i	0.124206	−	1.65741i	−0.492572	−	0.870272i	$-0.663943\pi$
$103$	1.26055	−	16.8209i	0.124206	−	1.65741i	0.616778	−	0.787137i	$-0.288438\pi$
$104$	−9.72941	−	4.68544i	−0.954047	−	0.459445i
$105$	−11.4266	+	3.03233i	−1.11512	+	0.295925i
$106$	−15.9853	+	7.69809i	−1.55263	+	0.747705i
$107$	6.03419	+	15.3749i	0.583347	+	1.48634i	0.852228	+	0.523170i	$0.175251\pi$
$107$	6.03419	+	15.3749i	0.583347	+	1.48634i	−0.268882	+	0.963173i	$0.586654\pi$
$108$	2.43667	+	32.5151i	0.234469	+	3.12877i
$109$	1.59065	−	4.05291i	0.152356	−	0.388198i	−0.834235	−	0.551410i	$-0.814090\pi$
$109$	1.59065	−	4.05291i	0.152356	−	0.388198i	0.986591	+	0.163212i	$0.0521854\pi$
$110$	16.1307	+	4.97565i	1.53800	+	0.474409i
$111$	1.71445	+	2.14986i	0.162729	+	0.204055i
$112$	−49.0550	−	1.95361i	−4.63526	−	0.184599i
$113$	4.97116	−	6.23364i	0.467648	−	0.586412i	−0.490946	−	0.871190i	$-0.663349\pi$
$113$	4.97116	−	6.23364i	0.467648	−	0.586412i	0.958593	+	0.284779i	$0.0919201\pi$
$114$	4.26659	−	2.90891i	0.399603	−	0.272445i
$115$	22.6978	−	21.0605i	2.11658	−	1.96390i
$116$	15.5672	+	26.9633i	1.44538	+	2.50348i
$117$	0.694803	−	1.20343i	0.0642345	−	0.111257i
$118$	6.31135	+	27.6518i	0.581007	+	2.54556i
$119$	−6.15043	+	0.678018i	−0.563809	+	0.0621538i
$120$	−10.7373	+	47.0431i	−0.980174	+	4.29442i
$121$	5.91825	+	5.49134i	0.538023	+	0.499213i
$122$	−12.4836	−	1.88160i	−1.13021	−	0.170352i
$123$	−7.72996	−	1.16510i	−0.696987	−	0.105054i
$124$	−3.23610	−	3.00266i	−0.290610	−	0.269647i
$125$	1.87909	−	8.23282i	0.168071	−	0.736366i
$126$	1.17820	−	10.2356i	0.104962	−	0.911856i
$127$	0.745541	+	3.26643i	0.0661561	+	0.289849i	0.997174	−	0.0751243i	$-0.0239353\pi$
$127$	0.745541	+	3.26643i	0.0661561	+	0.289849i	−0.931018	+	0.364973i	$0.881078\pi$
$128$	−36.9800	+	64.0512i	−3.26860	+	5.66138i
$129$	−4.59312	−	7.95551i	−0.404401	−	0.700444i
$130$	7.23344	−	6.71165i	0.634414	−	0.588650i
$131$	0.903939	−	0.616295i	0.0789775	−	0.0538459i	−0.523188	−	0.852218i	$-0.675257\pi$
$131$	0.903939	−	0.616295i	0.0789775	−	0.0538459i	0.602165	+	0.798372i	$0.294305\pi$
$132$	7.92290	−	9.93500i	0.689600	−	0.864730i
$133$	−3.52488	+	1.52781i	−0.305646	+	0.132478i
$134$	−10.9686	−	13.7542i	−0.947541	−	1.18818i
$135$	−18.7429	−	5.78140i	−1.61313	−	0.497584i
$136$	−9.22688	+	23.5097i	−0.791198	+	2.01594i
$137$	−1.28546	−	17.1532i	−0.109824	−	1.46550i	−0.731295	−	0.682061i	$-0.761084\pi$
$137$	−1.28546	−	17.1532i	−0.109824	−	1.46550i	0.621471	−	0.783437i	$-0.286535\pi$
$138$	−11.4252	−	29.1109i	−0.972575	−	2.47808i
$139$	8.45053	−	4.06956i	0.716765	−	0.345176i	−0.0396988	−	0.999212i	$-0.512640\pi$
$139$	8.45053	−	4.06956i	0.716765	−	0.345176i	0.756463	+	0.654036i	$0.226926\pi$
$140$	21.9264	−	49.9280i	1.85312	−	4.21969i
$141$	−4.62644	−	2.22797i	−0.389616	−	0.187629i
$142$	−0.286877	+	3.82811i	−0.0240742	+	0.321248i
$143$	−1.63472	+	0.504243i	−0.136702	+	0.0421669i
$144$	−21.3047	−	14.5253i	−1.77539	−	1.21044i
$145$	−18.5197	+	2.79140i	−1.53798	+	0.231813i
$146$	5.88624			0.487149
$147$	2.65912	−	8.47576i	0.219320	−	0.699069i
$148$	−12.6835			−1.04258
$149$	−1.61586	+	0.243551i	−0.132376	+	0.0199525i	−0.214896	−	0.976637i	$-0.568941\pi$
$149$	−1.61586	+	0.243551i	−0.132376	+	0.0199525i	0.0825200	+	0.996589i	$0.473703\pi$
$150$	−21.7386	−	14.8211i	−1.77495	−	1.21014i
$151$	−1.95885	+	0.604224i	−0.159409	+	0.0491711i	−0.373432	−	0.927657i	$-0.621819\pi$
$151$	−1.95885	+	0.604224i	−0.159409	+	0.0491711i	0.214024	+	0.976828i	$0.431343\pi$
$152$	−1.17180	+	15.6365i	−0.0950452	+	1.26829i
$153$	−2.92807	−	1.41008i	−0.236720	−	0.113998i
$154$	−9.63399	+	8.25049i	−0.776329	+	0.664843i
$155$	2.39258	−	1.15221i	0.192177	−	0.0925474i
$156$	−2.71378	−	6.91460i	−0.217276	−	0.553611i
$157$	0.260620	+	3.47774i	0.0207998	+	0.277554i	0.997900	+	0.0647739i	$0.0206326\pi$
$157$	0.260620	+	3.47774i	0.0207998	+	0.277554i	−0.977100	+	0.212780i	$0.931748\pi$
$158$	−10.6185	+	27.0555i	−0.844761	+	2.15242i
$159$	−7.67733	−	2.36814i	−0.608852	−	0.187806i
$160$	−66.7459	−	83.6967i	−5.27673	−	6.61680i
$161$	4.27041	+	22.8705i	0.336556	+	1.80245i
$162$	−5.06739	+	6.35430i	−0.398132	+	0.499241i
$163$	−10.3968	+	7.08841i	−0.814340	+	0.555207i	−0.897339	−	0.441342i	$-0.854502\pi$
$163$	−10.3968	+	7.08841i	−0.814340	+	0.555207i	0.0829993	+	0.996550i	$0.473550\pi$
$164$	26.4322	−	24.5255i	2.06401	−	1.91512i
$165$	3.82204	+	6.61996i	0.297545	+	0.515363i
$166$	−20.6890	+	35.8344i	−1.60578	+	2.78129i
$167$	−4.18711	−	18.3449i	−0.324009	−	1.41957i	−0.830351	−	0.557241i	$-0.811860\pi$
$167$	−4.18711	−	18.3449i	−0.324009	−	1.41957i	0.506342	−	0.862333i	$-0.330997\pi$
$168$	−25.5759	−	25.6991i	−1.97322	−	1.98273i
$169$	−0.222521	+	0.974928i	−0.0171170	+	0.0749945i
$170$	−16.9170	−	15.6967i	−1.29748	−	1.20388i
$171$	−1.99523	−	0.300733i	−0.152579	−	0.0229976i
$172$	41.8990	+	6.31526i	3.19477	+	0.481534i
$173$	10.9027	+	10.1162i	0.828914	+	0.769119i	0.975482	−	0.220081i	$-0.0706322\pi$
$173$	10.9027	+	10.1162i	0.828914	+	0.769119i	−0.146568	+	0.989201i	$0.546823\pi$
$174$	−4.20919	+	18.4417i	−0.319098	+	1.39806i
$175$	13.8076	+	13.8741i	1.04375	+	1.04878i
$176$	7.06362	+	30.9477i	0.532441	+	2.33277i
$177$	−6.42182	+	11.1229i	−0.482693	+	0.836049i
$178$	−4.44186	−	7.69352i	−0.332931	−	0.576654i
$179$	−12.9832	+	12.0466i	−0.970407	+	0.900406i	−0.995058	−	0.0992904i	$-0.968343\pi$
$179$	−12.9832	+	12.0466i	−0.970407	+	0.900406i	0.0246520	+	0.999696i	$0.492152\pi$
$180$	23.6640	−	16.1338i	1.76381	−	1.20254i
$181$	−1.81388	+	2.27454i	−0.134825	+	0.169065i	−0.844661	−	0.535302i	$-0.820198\pi$
$181$	−1.81388	+	2.27454i	−0.134825	+	0.169065i	0.709836	+	0.704367i	$0.248769\pi$
$182$	1.36091	+	7.28848i	0.100878	+	0.540258i
$183$	−3.56438	−	4.46960i	−0.263487	−	0.330402i
$184$	90.7421	+	27.9902i	6.68960	+	2.06347i
$185$	2.78746	−	7.10234i	0.204938	−	0.522174i
$186$	−0.200432	−	2.67458i	−0.0146964	−	0.196110i
$187$	1.46169	+	3.72434i	0.106890	+	0.272350i
$188$	21.3398	−	10.2767i	1.55637	−	0.749506i
$189$	11.1941	−	9.58658i	0.814252	−	0.697321i
$190$	−12.9092	−	6.21674i	−0.936532	−	0.451010i
$191$	0.924328	−	12.3343i	0.0668820	−	0.892478i	−0.858347	−	0.513069i	$-0.828508\pi$
$191$	0.924328	−	12.3343i	0.0668820	−	0.892478i	0.925229	−	0.379409i	$-0.123873\pi$
$192$	−58.3149	+	17.9878i	−4.20852	+	1.29816i
$193$	6.02597	+	4.10844i	0.433759	+	0.295732i	0.760446	−	0.649401i	$-0.224980\pi$
$193$	6.02597	+	4.10844i	0.433759	+	0.295732i	−0.326688	+	0.945132i	$0.605933\pi$
$194$	−30.1566	+	4.54538i	−2.16512	+	0.326339i
$195$	4.46834			0.319985
$196$	22.9184	+	33.9649i	1.63703	+	2.42606i
$197$	−7.71860			−0.549927			−0.274964	−	0.961455i	$-0.588666\pi$
$197$	−7.71860			−0.549927			−0.274964	+	0.961455i	$0.588666\pi$
$198$	−6.58751	+	0.992907i	−0.468154	+	0.0705629i
$199$	−8.09362	−	5.51814i	−0.573742	−	0.391170i	0.241406	−	0.970424i	$-0.422392\pi$
$199$	−8.09362	−	5.51814i	−0.573742	−	0.391170i	−0.815147	+	0.579254i	$0.803344\pi$
$200$	76.3431	−	23.5487i	5.39827	−	1.66515i
$201$	0.595324	−	7.94404i	0.0419909	−	0.560329i
$202$	−12.2272	−	5.88830i	−0.860301	−	0.414299i
$203$	5.65859	−	12.8850i	0.397155	−	0.904352i
$204$	−15.6519	+	7.53754i	−1.09585	+	0.527733i
$205$	7.92442	+	20.1911i	0.553466	+	1.41021i
$206$	3.53256	+	47.1387i	0.246125	+	3.28431i
$207$	−4.46435	+	11.3750i	−0.310294	+	0.790616i
$208$	17.7314	+	5.46940i	1.22945	+	0.379235i
$209$	1.54877	+	1.94210i	0.107131	+	0.134338i
$210$	30.3977	−	13.1755i	2.09764	−	0.909196i
$211$	17.3199	−	21.7185i	1.19235	−	1.49516i	0.367305	−	0.930100i	$-0.380280\pi$
$211$	17.3199	−	21.7185i	1.19235	−	1.49516i	0.825048	−	0.565063i	$-0.191148\pi$
$212$	30.6193	−	20.8759i	2.10295	−	1.43376i
$213$	−1.27430	+	1.18238i	−0.0873137	+	0.0810153i
$214$	−23.1430	−	40.0849i	−1.58202	−	2.74014i
$215$	−12.7445	+	22.0741i	−0.869165	+	1.50544i
$216$	−13.3856	−	58.6463i	−0.910777	−	3.99038i
$217$	−0.228178	+	1.98229i	−0.0154897	+	0.134567i
$218$	−2.71504	+	11.8954i	−0.183886	+	0.805656i
$219$	1.95393	+	1.81298i	0.132034	+	0.122510i
$220$	−34.8651	−	5.25507i	−2.35060	−	0.354296i
$221$	2.31261	+	0.348569i	0.155563	+	0.0234473i
$222$	−5.64886	−	5.24137i	−0.379126	−	0.351778i
$223$	−0.994143	+	4.35562i	−0.0665727	+	0.291674i	−0.997245	−	0.0741802i	$-0.976366\pi$
$223$	−0.994143	+	4.35562i	−0.0665727	+	0.291674i	0.930672	+	0.365854i	$0.119223\pi$
$224$	79.9541	−	8.81407i	5.34216	−	0.588915i
$225$	2.28766	+	10.0229i	0.152511	+	0.668193i
$226$	−11.1719	+	19.3504i	−0.743146	+	1.28717i
$227$	9.94227	+	17.2205i	0.659891	+	1.14297i	0.980643	+	0.195802i	$0.0627311\pi$
$227$	9.94227	+	17.2205i	0.659891	+	1.14297i	−0.320752	+	0.947163i	$0.603936\pi$
$228$	−7.90662	+	7.33627i	−0.523629	+	0.485856i
$229$	4.52846	−	3.08745i	0.299249	−	0.204025i	−0.404382	−	0.914590i	$-0.632513\pi$
$229$	4.52846	−	3.08745i	0.299249	−	0.204025i	0.703631	+	0.710566i	$0.251561\pi$
$230$	−54.1013	+	67.8409i	−3.56734	+	4.47330i
$231$	−5.73917	−	0.228562i	−0.377610	−	0.0150383i
$232$	−35.8127	−	44.9077i	−2.35122	−	2.94834i
$233$	−4.78794	−	1.47689i	−0.313669	−	0.0967540i	0.133924	−	0.990992i	$-0.457242\pi$
$233$	−4.78794	−	1.47689i	−0.313669	−	0.0967540i	−0.447592	+	0.894238i	$0.647718\pi$
$234$	−1.42272	+	3.62503i	−0.0930061	+	0.236976i
$235$	1.06475	+	14.2081i	0.0694564	+	0.926832i
$236$	−21.6436	−	55.1471i	−1.40888	−	3.58977i
$237$	−11.8580	+	5.71050i	−0.770258	+	0.370937i
$238$	16.7603	−	4.44774i	1.08641	−	0.288304i
$239$	10.9397	+	5.26826i	0.707628	+	0.340776i	0.752842	−	0.658202i	$-0.228683\pi$
$239$	10.9397	+	5.26826i	0.707628	+	0.340776i	−0.0452137	+	0.998977i	$0.514397\pi$
$240$	6.19613	−	82.6816i	0.399958	−	5.33707i
$241$	−8.25410	+	2.54605i	−0.531694	+	0.164006i	−0.548965	−	0.835845i	$-0.684978\pi$
$241$	−8.25410	+	2.54605i	−0.531694	+	0.164006i	0.0172718	+	0.999851i	$0.494502\pi$
$242$	−18.6936	−	12.7451i	−1.20167	−	0.819287i
$243$	12.8855	−	1.94217i	0.826604	−	0.124591i
$244$	26.3693			1.68812
$245$	−24.0559	+	5.36906i	−1.53688	+	0.343016i
$246$	21.9071			1.39674
$247$	1.43583	−	0.216416i	0.0913594	−	0.0137702i
$248$	6.72913	+	4.58784i	0.427300	+	0.291328i
$249$	−17.9048	+	5.52291i	−1.13467	+	0.350000i
$250$	−1.76848	+	23.5988i	−0.111849	+	1.49252i
$251$	−24.0361	−	11.5752i	−1.51715	−	0.730619i	−0.524471	−	0.851428i	$-0.675737\pi$
$251$	−24.0361	−	11.5752i	−1.51715	−	0.730619i	−0.992676	+	0.120809i	$0.961451\pi$
$252$	0.752973	+	21.5072i	0.0474328	+	1.35483i
$253$	13.5537	−	6.52710i	0.852111	−	0.410355i
$254$	−3.43027	−	8.74020i	−0.215235	−	0.548409i
$255$	−0.780947	−	10.4210i	−0.0489048	−	0.652589i
$256$	40.5843	−	103.407i	2.53652	−	6.46295i
$257$	−13.7264	−	4.23404i	−0.856231	−	0.264112i	−0.164597	−	0.986361i	$-0.552632\pi$
$257$	−13.7264	−	4.23404i	−0.856231	−	0.264112i	−0.691633	+	0.722249i	$0.743109\pi$
$258$	16.0508	+	20.1271i	0.999279	+	1.25306i
$259$	3.39325	+	4.62090i	0.210846	+	0.287129i
$260$	−12.8505	+	16.1140i	−0.796954	+	0.999348i
$261$	6.10701	−	4.16369i	0.378014	−	0.257726i
$262$	−2.24749	+	2.08537i	−0.138850	+	0.128834i
$263$	1.78312	+	3.08846i	0.109952	+	0.190443i	0.915751	−	0.401747i	$-0.131597\pi$
$263$	1.78312	+	3.08846i	0.109952	+	0.190443i	−0.805799	+	0.592190i	$0.798264\pi$
$264$	−11.7217	+	20.3026i	−0.721421	+	1.24954i
$265$	4.96057	+	21.7337i	0.304725	+	1.33509i
$266$	9.12966	−	5.70598i	0.559775	−	0.349856i
$267$	0.895163	−	3.92196i	0.0547831	−	0.240020i
$268$	26.9362	+	24.9931i	1.64539	+	1.52670i
$269$	−19.1255	−	2.88271i	−1.16610	−	0.175762i	−0.462676	−	0.886528i	$-0.653111\pi$
$269$	−19.1255	−	2.88271i	−1.16610	−	0.175762i	−0.703429	+	0.710766i	$0.748349\pi$
$270$	54.3530	+	8.19240i	3.30782	+	0.498573i
$271$	−20.6702	−	19.1791i	−1.25563	−	1.16505i	−0.978953	−	0.204086i	$-0.934578\pi$
$271$	−20.6702	−	19.1791i	−1.25563	−	1.16505i	−0.276672	−	0.960964i	$-0.589232\pi$
$272$	9.65670	−	42.3088i	0.585524	−	2.56535i
$273$	−1.79312	+	2.83857i	−0.108525	+	0.171798i
$274$	10.7266	+	46.9963i	0.648018	+	2.83915i
$275$	6.32816	−	10.9607i	0.381603	−	0.660955i
$276$	32.6599	+	56.5686i	1.96590	+	3.40503i
$277$	−12.3632	+	11.4714i	−0.742832	+	0.689247i	−0.957820	−	0.287370i	$-0.907219\pi$
$277$	−12.3632	+	11.4714i	−0.742832	+	0.689247i	0.214988	+	0.976617i	$0.431029\pi$
$278$	−21.7175	+	14.8067i	−1.30253	+	0.888048i
$279$	−0.653427	+	0.819372i	−0.0391197	+	0.0490545i
$280$	−26.2712	+	97.1110i	−1.57000	+	5.80349i
$281$	10.7025	+	13.4205i	0.638457	+	0.800600i	0.990809	−	0.135268i	$-0.0431895\pi$
$281$	10.7025	+	13.4205i	0.638457	+	0.800600i	−0.352352	+	0.935867i	$0.614618\pi$
$282$	13.7509	+	4.24158i	0.818852	+	0.252582i
$283$	0.404551	−	1.03078i	0.0240480	−	0.0612734i	−0.918345	−	0.395780i	$-0.870474\pi$
$283$	0.404551	−	1.03078i	0.0240480	−	0.0612734i	0.942393	+	0.334506i	$0.108570\pi$
$284$	−0.599207	−	7.99586i	−0.0355564	−	0.474467i
$285$	−2.37042	−	6.03972i	−0.140411	−	0.357762i
$286$	4.31934	−	2.08009i	0.255408	−	0.122998i
$287$	−16.0067	−	3.06850i	−0.944844	−	0.181128i
$288$	38.0641	+	18.3307i	2.24295	+	1.08015i
$289$	−0.861664	+	11.4981i	−0.0506861	+	0.676359i
$290$	50.1540	−	15.4704i	2.94514	−	0.908456i
$291$	−11.4105	−	7.77952i	−0.668893	−	0.456043i
$292$	−12.1574	+	1.83243i	−0.711457	+	0.107235i
$293$	22.3918			1.30814			0.654072	−	0.756433i	$-0.273059\pi$
$293$	22.3918			1.30814			0.654072	+	0.756433i	$0.273059\pi$
$294$	−3.82856	+	24.5978i	−0.223286	+	1.43457i
$295$	35.6371			2.07487
$296$	23.1382	−	3.48752i	1.34488	−	0.202708i
$297$	−7.87364	−	5.36816i	−0.456875	−	0.311492i
$298$	4.37597	−	1.34981i	0.253493	−	0.0781922i
$299$	0.657149	−	8.76905i	0.0380039	−	0.507127i
$300$	49.5126	+	23.8440i	2.85861	+	1.37663i
$301$	−8.90853	−	16.9543i	−0.513479	−	0.977229i
$302$	5.17578	−	2.49253i	0.297833	−	0.143429i
$303$	−2.24518	−	5.72063i	−0.128982	−	0.328642i
$304$	−2.01351	−	26.8684i	−0.115483	−	1.54101i
$305$	−5.79519	+	14.7659i	−0.331832	+	0.845493i
$306$	8.70291	+	2.68449i	0.497512	+	0.153462i
$307$	12.6069	+	15.8086i	0.719514	+	0.902243i	0.998310	−	0.0581078i	$-0.0185067\pi$
$307$	12.6069	+	15.8086i	0.719514	+	0.902243i	−0.278796	+	0.960350i	$0.589935\pi$
$308$	17.3295	−	20.0396i	0.987441	−	1.14186i
$309$	−13.3463	+	16.7357i	−0.759243	+	0.952060i
$310$	−6.14882	+	4.19220i	−0.349230	+	0.238101i
$311$	−3.44267	+	3.19433i	−0.195216	+	0.181134i	−0.771724	−	0.635957i	$-0.780605\pi$
$311$	−3.44267	+	3.19433i	−0.195216	+	0.181134i	0.576508	+	0.817091i	$0.304415\pi$
$312$	6.85193	+	11.8679i	0.387914	+	0.671887i
$313$	7.19085	−	12.4549i	0.406451	−	0.703994i	−0.588038	−	0.808833i	$-0.700099\pi$
$313$	7.19085	−	12.4549i	0.406451	−	0.703994i	0.994489	+	0.104839i	$0.0334328\pi$
$314$	−2.17477	−	9.52829i	−0.122729	−	0.537712i
$315$	−12.2088	−	4.30501i	−0.687887	−	0.242560i
$316$	13.5088	−	59.1857i	0.759927	−	3.32946i
$317$	−17.1876	−	15.9478i	−0.965353	−	0.895716i	0.0292398	−	0.999572i	$-0.490691\pi$
$317$	−17.1876	−	15.9478i	−0.965353	−	0.895716i	−0.994592	+	0.103856i	$0.966882\pi$
$318$	22.2637	+	3.35572i	1.24849	+	0.188179i
$319$	−8.99771	−	1.35619i	−0.503775	−	0.0759318i
$320$	124.127	+	115.173i	6.93889	+	6.43835i
$321$	4.66399	−	20.4343i	0.260318	−	1.14053i
$322$	−21.3862	−	61.5927i	−1.19180	−	3.43243i
$323$	−0.755667	−	3.31079i	−0.0420464	−	0.184217i
$324$	8.48800	−	14.7016i	0.471555	−	0.816758i
$325$	−3.69913	−	6.40708i	−0.205191	−	0.355401i
$326$	25.8498	−	23.9852i	1.43169	−	1.32841i
$327$	−4.56507	+	3.11241i	−0.252449	+	0.172117i
$328$	−41.4758	+	52.0090i	−2.29012	+	2.87172i
$329$	−9.45312	−	5.02523i	−0.521167	−	0.277050i
$330$	−13.3562	−	16.7482i	−0.735236	−	0.921957i
$331$	12.3513	+	3.80987i	0.678889	+	0.209410i	0.614976	−	0.788546i	$-0.289166\pi$
$331$	12.3513	+	3.80987i	0.678889	+	0.209410i	0.0639132	+	0.997955i	$0.479642\pi$
$332$	31.5754	−	80.4528i	1.73293	−	4.41542i
$333$	0.225018	+	3.00266i	0.0123309	+	0.164545i
$334$	19.2651	+	49.0867i	1.05414	+	2.68591i
$335$	−19.9151	+	9.59058i	−1.08808	+	0.523990i
$336$	50.0380	+	37.1159i	2.72980	+	2.02484i
$337$	−3.89292	−	1.87473i	−0.212061	−	0.102123i	0.324838	−	0.945770i	$-0.394690\pi$
$337$	−3.89292	−	1.87473i	−0.212061	−	0.102123i	−0.536899	+	0.843646i	$0.680404\pi$
$338$	0.209423	−	2.79456i	0.0113911	−	0.152004i
$339$	−9.66849	+	2.98233i	−0.525120	+	0.161978i
$340$	39.8268	+	27.1535i	2.15991	+	1.47260i
$341$	1.27578	−	0.192293i	0.0690875	−	0.0104133i
$342$	5.65459			0.305765
$343$	6.24277	−	17.4364i	0.337078	−	0.941477i
$344$	−78.1714			−4.21472
$345$	−38.8541	+	5.85632i	−2.09184	+	0.315293i
$346$	−34.4376	−	23.4792i	−1.85138	−	1.26225i
$347$	−7.90838	+	2.43941i	−0.424544	+	0.130954i	−0.499662	−	0.866220i	$-0.666543\pi$
$347$	−7.90838	+	2.43941i	−0.424544	+	0.130954i	0.0751187	+	0.997175i	$0.476066\pi$
$348$	2.95259	−	39.3996i	0.158276	−	2.11204i
$349$	−15.0903	−	7.26710i	−0.807764	−	0.388999i	−0.0160353	−	0.999871i	$-0.505104\pi$
$349$	−15.0903	−	7.26710i	−0.807764	−	0.388999i	−0.791729	+	0.610873i	$0.790819\pi$
$350$	−44.0569	−	32.6794i	−2.35494	−	1.74679i
$351$	−5.01882	+	2.41694i	−0.267885	+	0.129006i
$352$	−19.0017	−	48.4154i	−1.01279	−	2.58055i
$353$	−1.00317	−	13.3864i	−0.0533935	−	0.712487i	−0.958097	−	0.286445i	$-0.907527\pi$
$353$	−1.00317	−	13.3864i	−0.0533935	−	0.712487i	0.904703	−	0.426042i	$-0.140092\pi$
$354$	13.1497	−	33.5049i	0.698899	−	1.78077i
$355$	4.60909	+	1.42172i	0.244625	+	0.0754569i
$356$	11.5692	+	14.5074i	0.613168	+	0.768888i
$357$	6.93347	+	3.68580i	0.366958	+	0.195073i
$358$	30.9460	−	38.8050i	1.63555	−	2.05091i
$359$	6.24611	−	4.25853i	0.329657	−	0.224756i	−0.387168	−	0.922009i	$-0.626547\pi$
$359$	6.24611	−	4.25853i	0.329657	−	0.224756i	0.716826	+	0.697253i	$0.245594\pi$
$360$	−38.7332	+	35.9391i	−2.04142	+	1.89416i
$361$	8.44578	+	14.6285i	0.444515	+	0.769923i
$362$	4.07643	−	7.06058i	0.214252	−	0.371096i
$363$	−2.27980	−	9.98844i	−0.119658	−	0.524257i
$364$	−5.07978	−	14.6299i	−0.266253	−	0.766815i
$365$	1.64573	−	7.21043i	0.0861416	−	0.377411i
$366$	11.7441	+	10.8969i	0.613874	+	0.569591i
$367$	5.79256	+	0.873088i	0.302369	+	0.0455748i	0.298475	−	0.954418i	$-0.403522\pi$
$367$	5.79256	+	0.873088i	0.302369	+	0.0455748i	0.00389469	+	0.999992i	$0.498760\pi$
$368$	−161.350	−	24.3196i	−8.41095	−	1.26775i
$369$	−6.27502	−	5.82237i	−0.326664	−	0.303100i
$370$	−4.75785	+	20.8455i	−0.247349	+	1.08371i
$371$	−15.7972	−	5.57035i	−0.820151	−	0.289198i
$372$	1.24659	+	5.46167i	0.0646327	+	0.283174i
$373$	2.99099	−	5.18054i	0.154868	−	0.268238i	−0.778143	−	0.628087i	$-0.783838\pi$
$373$	2.99099	−	5.18054i	0.154868	−	0.268238i	0.933011	+	0.359848i	$0.117172\pi$
$374$	−5.60606	−	9.70998i	−0.289882	−	0.502091i
$375$	−7.85555	+	7.28889i	−0.405659	+	0.376397i
$376$	−36.1038	+	24.6151i	−1.86191	+	1.26943i
$377$	−3.31635	+	4.15858i	−0.170801	+	0.214178i
$378$	−27.0159	+	31.2408i	−1.38955	+	1.60685i
$379$	8.92521	+	11.1919i	0.458457	+	0.574888i	0.956303	−	0.292378i	$-0.0944467\pi$
$379$	8.92521	+	11.1919i	0.458457	+	0.574888i	−0.497845	+	0.867266i	$0.665875\pi$
$380$	28.5979	+	8.82128i	1.46704	+	0.452522i
$381$	1.55334	−	3.95784i	0.0795798	−	0.202766i
$382$	2.59033	+	34.5656i	0.132533	+	1.76853i
$383$	3.75892	+	9.57757i	0.192072	+	0.489391i	0.994173	−	0.107797i	$-0.0343798\pi$
$383$	3.75892	+	9.57757i	0.192072	+	0.489391i	−0.802101	+	0.597188i	$0.796285\pi$
$384$	84.5615	−	40.7227i	4.31526	−	2.07812i
$385$	7.41298	+	14.1080i	0.377801	+	0.719012i
$386$	−18.4145	−	8.86797i	−0.937275	−	0.451368i
$387$	0.751724	−	10.0311i	0.0382123	−	0.509907i
$388$	60.8702	−	18.7760i	3.09022	−	0.953206i
$389$	−24.3086	−	16.5733i	−1.23249	−	0.840300i	−0.241009	−	0.970523i	$-0.577478\pi$
$389$	−24.3086	−	16.5733i	−1.23249	−	0.840300i	−0.991485	+	0.130223i	$0.958431\pi$
$390$	−12.3822	+	1.86632i	−0.626997	+	0.0945047i
$391$	−20.5659			−1.04006
$392$	−51.1485	−	55.6593i	−2.58339	−	2.81122i
$393$	−1.38835			−0.0700331
$394$	21.3890	−	3.22387i	1.07756	−	0.162416i
$395$	30.1731	+	20.5717i	1.51817	+	1.03507i
$396$	13.2967	−	4.10149i	0.668184	−	0.206107i
$397$	1.42469	−	19.0112i	0.0715033	−	0.954145i	−0.839929	−	0.542696i	$-0.817404\pi$
$397$	1.42469	−	19.0112i	0.0715033	−	0.954145i	0.911433	−	0.411450i	$-0.134977\pi$
$398$	24.7330	+	11.9108i	1.23975	+	0.597033i
$399$	4.78804	+	0.917874i	0.239702	+	0.0459512i
$400$	−123.685	+	59.5636i	−6.18426	+	2.97818i
$401$	4.87582	+	12.4234i	0.243487	+	0.620395i	0.999413	−	0.0342624i	$-0.0109082\pi$
$401$	4.87582	+	12.4234i	0.243487	+	0.620395i	−0.755926	+	0.654657i	$0.772813\pi$
$402$	1.66833	+	22.2623i	0.0832089	+	1.11035i
$403$	0.275534	−	0.702049i	0.0137253	−	0.0349715i
$404$	27.0870	+	8.35523i	1.34763	+	0.415688i
$405$	6.36700	+	7.98397i	0.316379	+	0.396726i
$406$	−10.2987	+	38.0691i	−0.511118	+	1.88934i
$407$	2.31120	−	2.89815i	0.114562	−	0.143656i
$408$	26.4806	−	18.0542i	1.31099	−	0.893815i
$409$	9.44469	−	8.76339i	0.467010	−	0.433322i	−0.411238	−	0.911528i	$-0.634903\pi$
$409$	9.44469	−	8.76339i	0.467010	−	0.433322i	0.878248	+	0.478206i	$0.158713\pi$
$410$	−30.3927	−	52.6416i	−1.50099	−	2.59979i
$411$	−10.9144	+	18.9042i	−0.538365	+	0.932476i
$412$	−21.9708	−	96.2602i	−1.08242	−	4.74240i
$413$	−14.3010	+	22.6389i	−0.703705	+	1.11399i
$414$	7.62010	−	33.3858i	0.374507	−	1.64082i
$415$	38.1114	+	35.3622i	1.87082	+	1.73586i
$416$	−30.0633	−	4.53132i	−1.47398	−	0.222166i
$417$	−11.7696	−	1.77398i	−0.576361	−	0.0868724i
$418$	−5.10296	−	4.73486i	−0.249594	−	0.231589i
$419$	6.88609	−	30.1699i	0.336407	−	1.47390i	−0.470068	−	0.882630i	$-0.655771\pi$
$419$	6.88609	−	30.1699i	0.336407	−	1.47390i	0.806476	−	0.591267i	$-0.201372\pi$
$420$	−58.6816	+	36.6756i	−2.86337	+	1.78959i
$421$	−6.77057	−	29.6638i	−0.329977	−	1.44573i	−0.819171	−	0.573550i	$-0.805566\pi$
$421$	−6.77057	−	29.6638i	−0.329977	−	1.44573i	0.489193	−	0.872175i	$-0.337291\pi$
$422$	−38.9239	+	67.4182i	−1.89479	+	3.28186i
$423$	−2.81146	−	4.86959i	−0.136698	−	0.236768i
$424$	−50.1177	+	46.5025i	−2.43393	+	2.25836i
$425$	−14.2960	+	9.74685i	−0.693458	+	0.472792i
$426$	3.03736	−	3.80873i	0.147161	−	0.184534i
$427$	−7.05464	−	9.60695i	−0.341398	−	0.464913i
$428$	60.2781	+	75.5864i	2.91365	+	3.65360i
$429$	2.07448	+	0.639891i	0.100157	+	0.0308942i
$430$	26.0963	−	66.4924i	1.25848	−	3.20655i
$431$	1.63612	+	21.8325i	0.0788090	+	1.05163i	0.886713	+	0.462319i	$0.152983\pi$
$431$	1.63612	+	21.8325i	0.0788090	+	1.05163i	−0.807904	+	0.589313i	$0.799398\pi$
$432$	37.7632	+	96.2190i	1.81688	+	4.62934i
$433$	28.1685	−	13.5652i	1.35369	−	0.651903i	0.390470	−	0.920615i	$-0.372312\pi$
$433$	28.1685	−	13.5652i	1.35369	−	0.651903i	0.963220	+	0.268712i	$0.0865981\pi$
$434$	−0.195652	−	5.58842i	−0.00939159	−	0.268253i
$435$	21.4135	+	10.3122i	1.02670	+	0.494432i
$436$	1.90450	−	25.4138i	0.0912091	−	1.21710i
$437$	−12.2015	+	3.76365i	−0.583675	+	0.180040i
$438$	−6.17177	−	4.20784i	−0.294898	−	0.201058i
$439$	2.86788	−	0.432263i	0.136876	−	0.0206308i	−0.0802467	−	0.996775i	$-0.525571\pi$
$439$	2.86788	−	0.432263i	0.136876	−	0.0206308i	0.217123	+	0.976144i	$0.430333\pi$
$440$	65.0482			3.10105
$441$	7.63413	−	6.02820i	0.363530	−	0.287057i
$442$	−6.55404			−0.311744
$443$	3.99297	−	0.601844i	0.189712	−	0.0285945i	−0.0534990	−	0.998568i	$-0.517037\pi$
$443$	3.99297	−	0.601844i	0.189712	−	0.0285945i	0.243211	+	0.969973i	$0.421799\pi$
$444$	13.2988	+	9.06696i	0.631132	+	0.430299i
$445$	−10.6662	+	3.29008i	−0.505625	+	0.155965i
$446$	0.935627	−	12.4851i	0.0443032	−	0.591186i
$447$	1.86834	+	0.899747i	0.0883696	+	0.0425566i
$448$	−122.976	+	32.6347i	−5.81008	+	1.54185i
$449$	13.8263	−	6.65838i	0.652501	−	0.314228i	−0.0781875	−	0.996939i	$-0.524913\pi$
$449$	13.8263	−	6.65838i	0.652501	−	0.314228i	0.730689	+	0.682711i	$0.239199\pi$
$450$	−10.5256	−	26.8189i	−0.496184	−	1.26426i
$451$	0.787522	+	10.5088i	0.0370830	+	0.494838i
$452$	17.0505	−	43.4440i	0.801988	−	2.04343i
$453$	2.48580	+	0.766769i	0.116793	+	0.0360259i
$454$	−34.7436	−	43.5671i	−1.63060	−	2.04470i
$455$	9.30862	+	0.370715i	0.436395	+	0.0173794i
$456$	12.4066	−	15.5573i	0.580991	−	0.728540i
$457$	13.3854	−	9.12600i	0.626142	−	0.426896i	−0.208244	−	0.978077i	$-0.566775\pi$
$457$	13.3854	−	9.12600i	0.626142	−	0.426896i	0.834386	+	0.551181i	$0.185822\pi$
$458$	−11.2593	+	10.4471i	−0.526110	+	0.488159i
$459$	6.51390	+	11.2824i	0.304043	+	0.526618i
$460$	90.6210	−	156.960i	4.22523	−	7.31831i
$461$	−5.80361	−	25.4273i	−0.270301	−	1.18427i	−0.909659	−	0.415357i	$-0.863657\pi$
$461$	−5.80361	−	25.4273i	−0.270301	−	1.18427i	0.639358	−	0.768909i	$-0.279200\pi$
$462$	15.9993	−	1.76374i	0.744353	−	0.0820568i
$463$	−4.12029	+	18.0522i	−0.191486	+	0.838955i	0.784327	+	0.620348i	$0.213008\pi$
$463$	−4.12029	+	18.0522i	−0.191486	+	0.838955i	−0.975813	+	0.218607i	$0.929849\pi$
$464$	72.3510	+	67.1319i	3.35881	+	3.11652i
$465$	−3.33231	−	0.502264i	−0.154532	−	0.0232920i
$466$	13.8847	+	2.09278i	0.643197	+	0.0969463i
$467$	−25.8509	−	23.9861i	−1.19624	−	1.10994i	−0.991362	−	0.131155i	$-0.958131\pi$
$467$	−25.8509	−	23.9861i	−1.19624	−	1.10994i	−0.204873	−	0.978789i	$-0.565678\pi$
$468$	1.80997	−	7.93002i	0.0836661	−	0.366565i
$469$	1.89928	−	16.4999i	0.0877004	−	0.761896i
$470$	−8.88488	−	38.9272i	−0.409829	−	1.79558i
$471$	2.21284	−	3.83274i	0.101962	−	0.176603i
$472$	54.6473	+	94.6518i	2.51534	+	4.35670i
$473$	−9.07788	+	8.42304i	−0.417401	+	0.387292i
$474$	30.4744	−	20.7771i	1.39974	−	0.954325i
$475$	−6.69790	+	8.39890i	−0.307321	+	0.385368i
$476$	−33.2319	+	14.4039i	−1.52318	+	0.660203i
$477$	−5.48531	−	6.87836i	−0.251155	−	0.314938i
$478$	−32.5153	−	10.0296i	−1.48721	−	0.458745i
$479$	−0.943468	+	2.40392i	−0.0431081	+	0.109838i	−0.950806	−	0.309786i	$-0.899743\pi$
$479$	−0.943468	+	2.40392i	−0.0431081	+	0.109838i	0.907698	+	0.419624i	$0.137838\pi$
$480$	10.1521	+	135.471i	0.463379	+	6.18336i
$481$	−0.791642	−	2.01707i	−0.0360957	−	0.0919705i
$482$	21.8095	−	10.5029i	0.993395	−	0.478394i
$483$	11.8717	−	27.0327i	0.540180	−	1.23003i
$484$	42.5774	+	20.5042i	1.93533	+	0.932008i
$485$	−2.86356	+	38.2116i	−0.130028	+	1.73510i
$486$	−34.8957	+	10.7639i	−1.58290	+	0.488261i
$487$	8.06999	+	5.50203i	0.365686	+	0.249321i	0.732197	−	0.681093i	$-0.238495\pi$
$487$	8.06999	+	5.50203i	0.365686	+	0.249321i	−0.366510	+	0.930414i	$0.619448\pi$
$488$	−48.1047	+	7.25062i	−2.17760	+	0.328220i
$489$	15.9683			0.722114
$490$	64.4188	−	24.9257i	2.91014	−	1.12603i
$491$	4.84809			0.218791			0.109396	−	0.993998i	$-0.465108\pi$
$491$	4.84809			0.218791			0.109396	+	0.993998i	$0.465108\pi$
$492$	−45.2467	+	6.81985i	−2.03988	+	0.307462i
$493$	10.2782	+	7.00756i	0.462907	+	0.315604i
$494$	−3.88842	+	1.19942i	−0.174948	+	0.0539644i
$495$	−0.625526	+	8.34707i	−0.0281153	+	0.375173i
$496$	−12.6085	−	6.07195i	−0.566140	−	0.272639i
$497$	−2.75277	+	2.35745i	−0.123478	+	0.105746i
$498$	47.3092	−	22.7829i	2.11998	−	1.02093i
$499$	2.50833	+	6.39111i	0.112288	+	0.286105i	0.975960	−	0.217949i	$-0.0699365\pi$
$499$	2.50833	+	6.39111i	0.112288	+	0.286105i	−0.863672	+	0.504054i	$0.831841\pi$
$500$	−3.69387	−	49.2913i	−0.165195	−	2.20437i
$501$	−8.72385	+	22.2280i	−0.389753	+	0.993075i
$502$	71.4411	+	22.0367i	3.18857	+	0.983544i
$503$	23.3967	+	29.3385i	1.04321	+	1.30814i	0.949917	+	0.312502i	$0.101167\pi$
$503$	23.3967	+	29.3385i	1.04321	+	1.30814i	0.0932900	+	0.995639i	$0.470262\pi$
$504$	−7.28734	−	39.0279i	−0.324604	−	1.73844i
$505$	−10.6315	+	13.3315i	−0.473098	+	0.593246i
$506$	−34.8323	+	23.7483i	−1.54848	+	1.05574i
$507$	0.930253	−	0.863148i	0.0413140	−	0.0383338i
$508$	9.80575	+	16.9841i	0.435060	+	0.753546i
$509$	−19.3931	+	33.5899i	−0.859586	+	1.48885i	0.0127381	+	0.999919i	$0.495945\pi$
$509$	−19.3931	+	33.5899i	−0.859586	+	1.48885i	−0.872324	+	0.488928i	$0.837388\pi$
$510$	6.51668	+	28.5515i	0.288564	+	1.26428i
$511$	3.92009	+	3.93898i	0.173414	+	0.174250i
$512$	−36.3572	+	159.291i	−1.60678	+	7.03974i
$513$	5.92934	+	5.50162i	0.261787	+	0.242902i
$514$	39.8057	+	5.99974i	1.75575	+	0.264637i
$515$	58.7309	+	8.85226i	2.58799	+	0.390077i
$516$	−39.4169	−	36.5735i	−1.73523	−	1.61006i
$517$	−1.54035	+	6.74872i	−0.0677446	+	0.296808i
$518$	−11.3331	−	11.3877i	−0.497946	−	0.500346i
$519$	−4.19986	−	18.4008i	−0.184353	−	0.807705i
$520$	19.0120	−	32.9297i	0.833730	−	1.44406i
$521$	−7.07342	−	12.2515i	−0.309892	−	0.536749i	0.668446	−	0.743760i	$-0.266960\pi$
$521$	−7.07342	−	12.2515i	−0.309892	−	0.536749i	−0.978339	+	0.207011i	$0.933626\pi$
$522$	−15.1840	+	14.0887i	−0.664587	+	0.616647i
$523$	0.472789	−	0.322342i	0.0206736	−	0.0140950i	−0.552939	−	0.833222i	$-0.686494\pi$
$523$	0.472789	−	0.322342i	0.0206736	−	0.0140950i	0.573613	+	0.819127i	$0.305541\pi$
$524$	3.99276	−	5.00676i	0.174424	−	0.218721i
$525$	−4.55928	−	24.4176i	−0.198983	−	1.06567i
$526$	−6.23118	−	7.81365i	−0.271692	−	0.340691i
$527$	−1.68547	−	0.519898i	−0.0734201	−	0.0226471i
$528$	14.7171	−	37.4985i	0.640478	−	1.63191i
$529$	4.05994	+	54.1762i	0.176519	+	2.35549i
$530$	−22.8238	−	58.1542i	−0.991404	−	2.52606i
$531$	−12.6714	+	6.10220i	−0.549890	+	0.264813i
$532$	−17.0800	+	14.6272i	−0.740512	+	0.634170i
$533$	5.55007	+	2.67277i	0.240400	+	0.115771i
$534$	−0.842473	+	11.2420i	−0.0364574	+	0.486490i
$535$	−55.5731	+	17.1420i	−2.40263	+	0.741114i
$536$	−56.0110	−	38.1877i	−2.41931	−	1.64946i
$537$	22.2246	−	3.34982i	0.959062	−	0.144555i
$538$	54.2027			2.33685
$539$	−11.9371	−	0.952298i	−0.514167	−	0.0410184i
$540$	−114.811			−4.94066
$541$	−31.2085	+	4.70392i	−1.34176	+	0.202237i	−0.780371	−	0.625316i	$-0.784970\pi$
$541$	−31.2085	+	4.70392i	−1.34176	+	0.202237i	−0.561386	+	0.827554i	$0.689732\pi$
$542$	65.2898	+	44.5138i	2.80444	+	1.91203i
$543$	3.52785	−	1.08820i	0.151394	−	0.0466990i
$544$	−5.31362	+	70.9053i	−0.227819	+	3.04004i
$545$	13.8123	+	6.65165i	0.591654	+	0.284925i
$546$	3.78332	−	8.61489i	0.161911	−	0.368683i
$547$	−15.8033	+	7.61046i	−0.675699	+	0.325400i	−0.740073	−	0.672526i	$-0.765209\pi$
$547$	−15.8033	+	7.61046i	−0.675699	+	0.325400i	0.0643740	+	0.997926i	$0.479495\pi$
$548$	−36.7850	−	93.7266i	−1.57138	−	4.00380i
$549$	−0.467817	−	6.24258i	−0.0199659	−	0.266427i
$550$	−12.9579	+	33.0163i	−0.552528	+	1.40782i
$551$	7.38032	+	2.27653i	0.314412	+	0.0969833i
$552$	−75.1347	−	94.2160i	−3.19795	−	4.01010i
$553$	−25.1767	+	10.9125i	−1.07062	+	0.464048i
$554$	29.4683	−	36.9520i	1.25199	−	1.56994i
$555$	−7.99986	+	5.45421i	−0.339575	+	0.231518i
$556$	40.2457	−	37.3425i	1.70680	−	1.58368i
$557$	−5.92212	−	10.2574i	−0.250928	−	0.434620i	0.712853	−	0.701313i	$-0.247402\pi$
$557$	−5.92212	−	10.2574i	−0.250928	−	0.434620i	−0.963782	+	0.266693i	$0.914069\pi$
$558$	1.46848	−	2.54348i	0.0621656	−	0.107674i
$559$	1.61080	+	7.05739i	0.0681297	+	0.298496i
$560$	19.7677	−	171.731i	0.835336	−	7.25697i
$561$	1.12978	−	4.94990i	0.0476995	−	0.208985i
$562$	−35.2630	−	32.7193i	−1.48748	−	1.38018i
$563$	45.1442	+	6.80440i	1.90260	+	0.286771i	0.991973	−	0.126451i	$-0.0403586\pi$
$563$	45.1442	+	6.80440i	1.90260	+	0.286771i	0.910630	+	0.413222i	$0.135597\pi$
$564$	−29.7214	−	4.47978i	−1.25150	−	0.188633i
$565$	20.5799	+	19.0954i	0.865804	+	0.803349i
$566$	−0.690518	+	3.02536i	−0.0290246	+	0.127165i
$567$	−7.62695	+	0.840789i	−0.320302	+	0.0353098i
$568$	3.29169	+	14.4218i	0.138116	+	0.605126i
$569$	4.12240	−	7.14021i	0.172820	−	0.299333i	−0.766585	−	0.642143i	$-0.778045\pi$
$569$	4.12240	−	7.14021i	0.172820	−	0.299333i	0.939405	+	0.342810i	$0.111379\pi$
$570$	9.09130	+	15.7466i	0.380792	+	0.659552i
$571$	16.2457	−	15.0738i	0.679861	−	0.630818i	−0.262691	−	0.964880i	$-0.584610\pi$
$571$	16.2457	−	15.0738i	0.679861	−	0.630818i	0.942551	+	0.334062i	$0.108419\pi$
$572$	−8.27359	+	5.64084i	−0.345936	+	0.235855i
$573$	−9.78647	+	12.2718i	−0.408836	+	0.512664i
$574$	45.6377	+	1.81752i	1.90488	+	0.0758617i
$575$	40.5627	+	50.8641i	1.69158	+	2.12118i
$576$	−63.8565	−	19.6971i	−2.66069	−	0.820713i
$577$	9.10730	−	23.2050i	0.379142	−	0.966037i	−0.606180	−	0.795328i	$-0.707299\pi$
$577$	9.10730	−	23.2050i	0.379142	−	0.966037i	0.985321	−	0.170710i	$-0.0546060\pi$
$578$	−2.41472	−	32.2223i	−0.100439	−	1.34027i
$579$	−3.38132	−	8.61546i	−0.140523	−	0.358046i
$580$	−98.7715	+	47.5659i	−4.10126	+	1.97506i
$581$	−37.7582	+	10.0201i	−1.56647	+	0.415702i
$582$	34.8688	+	16.7919i	1.44536	+	0.696047i
$583$	−0.809383	+	10.8005i	−0.0335212	+	0.447310i
$584$	21.6745	−	6.68569i	0.896896	−	0.276656i
$585$	4.04275	+	2.75630i	0.167147	+	0.113959i
$586$	−62.0498	+	9.35251i	−2.56326	+	0.386349i
$587$	25.4830			1.05179			0.525897	−	0.850548i	$-0.323730\pi$
$587$	25.4830			1.05179			0.525897	+	0.850548i	$0.323730\pi$
$588$	0.249996	−	51.9959i	0.0103097	−	2.14428i
$589$	−1.09511			−0.0451231
$590$	−98.7538	+	14.8847i	−4.06563	+	0.612795i
$591$	8.09301	+	5.51772i	0.332902	+	0.226969i
$592$	−38.4213	+	11.8514i	−1.57911	+	0.487090i
$593$	1.37184	−	18.3060i	0.0563348	−	0.751736i	−0.895488	−	0.445086i	$-0.853173\pi$
$593$	1.37184	−	18.3060i	0.0563348	−	0.751736i	0.951823	−	0.306649i	$-0.0992079\pi$
$594$	24.0608	+	11.5870i	0.987225	+	0.475422i
$595$	−0.762321	−	21.7742i	−0.0312521	−	0.892657i
$596$	−8.61788	+	4.15015i	−0.353002	+	0.169997i
$597$	4.54153	+	11.5716i	0.185872	+	0.473595i
$598$	1.84159	+	24.5744i	0.0753083	+	1.00492i
$599$	4.17196	−	10.6300i	0.170462	−	0.434329i	−0.819957	−	0.572425i	$-0.806003\pi$
$599$	4.17196	−	10.6300i	0.170462	−	0.434329i	0.990419	+	0.138096i	$0.0440982\pi$
$600$	−96.8804	−	29.8836i	−3.95513	−	1.21999i
$601$	12.8483	+	16.1113i	0.524093	+	0.657192i	0.971472	−	0.237152i	$-0.0762141\pi$
$601$	12.8483	+	16.1113i	0.524093	+	0.657192i	−0.447379	+	0.894344i	$0.647643\pi$
$602$	31.7678	+	43.2611i	1.29476	+	1.76319i
$603$	5.43891	−	6.82018i	0.221490	−	0.277739i
$604$	−9.91408	+	6.75931i	−0.403398	+	0.275032i
$605$	−20.8389	+	19.3356i	−0.847220	+	0.786105i
$606$	8.61098	+	14.9147i	0.349797	+	0.605866i
$607$	6.75695	−	11.7034i	0.274256	−	0.475026i	−0.695691	−	0.718341i	$-0.744902\pi$
$607$	6.75695	−	11.7034i	0.274256	−	0.475026i	0.969947	+	0.243315i	$0.0782350\pi$
$608$	9.82348	+	43.0395i	0.398395	+	1.74548i
$609$	−15.1441	+	9.46495i	−0.613669	+	0.383539i
$610$	9.89167	−	43.3383i	0.400502	−	1.75471i
$611$	2.96623	+	2.75226i	0.120001	+	0.111345i
$612$	−18.8106	−	2.83525i	−0.760375	−	0.114608i
$613$	−24.1023	−	3.63284i	−0.973483	−	0.146729i	−0.357006	−	0.934102i	$-0.616202\pi$
$613$	−24.1023	−	3.63284i	−0.973483	−	0.146729i	−0.616477	+	0.787373i	$0.711441\pi$
$614$	−41.5378	−	38.5415i	−1.67633	−	1.55541i
$615$	6.12500	−	26.8354i	0.246984	−	1.08211i
$616$	−26.1035	+	41.3226i	−1.05174	+	1.66494i
$617$	−3.36321	−	14.7352i	−0.135398	−	0.593216i	−0.996412	−	0.0846352i	$-0.973028\pi$
$617$	−3.36321	−	14.7352i	−0.135398	−	0.593216i	0.861014	−	0.508581i	$-0.169830\pi$
$618$	29.9937	−	51.9506i	1.20652	−	2.08976i
$619$	8.65530	+	14.9914i	0.347886	+	0.602556i	0.985874	−	0.167490i	$-0.0535663\pi$
$619$	8.65530	+	14.9914i	0.347886	+	0.602556i	−0.637988	+	0.770046i	$0.720233\pi$
$620$	11.3947	−	10.5727i	0.457621	−	0.424610i
$621$	40.4730	−	27.5941i	1.62413	−	1.10731i
$622$	8.20578	−	10.2897i	0.329022	−	0.412580i
$623$	2.19022	−	8.09611i	0.0877493	−	0.324364i
$624$	−14.6816	−	18.4102i	−0.587735	−	0.736996i
$625$	−6.93467	−	2.13906i	−0.277387	−	0.0855625i
$626$	−14.7244	+	37.5172i	−0.588507	+	1.49949i
$627$	−0.235570	−	3.14346i	−0.00940775	−	0.125538i
$628$	7.45798	+	19.0026i	0.297606	+	0.758288i
$629$	−4.56583	+	2.19879i	−0.182052	+	0.0876714i
$630$	35.6298	+	6.83028i	1.41953	+	0.272125i
$631$	−37.3440	−	17.9839i	−1.48664	−	0.715928i	−0.498132	−	0.867101i	$-0.665981\pi$
$631$	−37.3440	−	17.9839i	−1.48664	−	0.715928i	−0.988507	+	0.151173i	$0.951695\pi$
$632$	−8.36964	+	111.685i	−0.332926	+	4.44259i
$633$	−33.6858	+	10.3907i	−1.33889	+	0.412993i
$634$	54.2895	+	37.0140i	2.15611	+	1.47001i
$635$	−11.6655	+	1.75829i	−0.462931	+	0.0697756i
$636$	−47.0280			−1.86478
$637$	−3.97100	+	5.76465i	−0.157337	+	0.228404i
$638$	25.5000			1.00955
$639$	−1.88228	+	0.283708i	−0.0744619	+	0.0112233i
$640$	−215.170	−	146.701i	−8.50536	−	5.79885i
$641$	−15.5772	+	4.80493i	−0.615262	+	0.189783i	−0.586694	−	0.809809i	$-0.699571\pi$
$641$	−15.5772	+	4.80493i	−0.615262	+	0.189783i	−0.0285678	+	0.999592i	$0.509095\pi$
$642$	−4.38946	+	58.5733i	−0.173238	+	2.31170i
$643$	1.49048	+	0.717779i	0.0587789	+	0.0283064i	0.463042	−	0.886336i	$-0.346758\pi$
$643$	1.49048	+	0.717779i	0.0587789	+	0.0283064i	−0.404263	+	0.914643i	$0.632472\pi$
$644$	63.3451	+	120.555i	2.49615	+	4.75055i
$645$	29.1426	−	14.0343i	1.14749	−	0.552601i
$646$	3.47686	+	8.85890i	0.136795	+	0.348549i
$647$	−1.35545	−	18.0873i	−0.0532883	−	0.711083i	−0.958312	−	0.285723i	$-0.907766\pi$
$647$	−1.35545	−	18.0873i	−0.0532883	−	0.711083i	0.905024	−	0.425361i	$-0.139853\pi$
$648$	−11.4420	+	29.1536i	−0.449482	+	1.14526i
$649$	16.5449	+	5.10342i	0.649444	+	0.200327i
$650$	12.9267	+	16.2096i	0.507028	+	0.635793i
$651$	1.65631	−	1.91533i	0.0649158	−	0.0750678i
$652$	−45.9233	+	57.5860i	−1.79850	+	2.25524i
$653$	28.9473	−	19.7359i	1.13279	−	0.772326i	0.156266	−	0.987715i	$-0.450054\pi$
$653$	28.9473	−	19.7359i	1.13279	−	0.772326i	0.976528	+	0.215389i	$0.0691020\pi$
$654$	11.3503	−	10.5315i	0.443831	−	0.411815i
$655$	1.92612	+	3.33614i	0.0752598	+	0.130354i
$656$	57.1528	−	98.9915i	2.23144	−	3.86497i
$657$	0.649487	+	2.84559i	0.0253389	+	0.111017i
$658$	28.2944	+	9.97706i	1.10303	+	0.388946i
$659$	1.88934	−	8.27773i	0.0735982	−	0.322455i	−0.924705	−	0.380684i	$-0.875688\pi$
$659$	1.88934	−	8.27773i	0.0735982	−	0.322455i	0.998303	+	0.0582297i	$0.0185456\pi$
$660$	32.7997	+	30.4337i	1.27673	+	1.18463i
$661$	−19.9834	−	3.01202i	−0.777266	−	0.117154i	−0.251584	−	0.967835i	$-0.580952\pi$
$661$	−19.9834	−	3.01202i	−0.777266	−	0.117154i	−0.525682	+	0.850681i	$0.676190\pi$
$662$	−35.8179	−	5.39869i	−1.39210	−	0.209826i
$663$	−2.17561	−	2.01867i	−0.0844936	−	0.0783986i
$664$	−35.4803	+	155.450i	−1.37690	+	6.03261i
$665$	−4.43706	−	12.7788i	−0.172062	−	0.495542i
$666$	−1.87768	−	8.22666i	−0.0727587	−	0.318777i
$667$	23.3868	−	40.5071i	0.905539	−	1.56844i
$668$	−55.0711	−	95.3860i	−2.13077	−	3.69059i
$669$	4.15603	−	3.85623i	0.160681	−	0.149091i
$670$	51.1808	−	34.8945i	1.97729	−	1.34809i
$671$	−4.80504	+	6.02533i	−0.185496	+	0.232605i
$672$	−90.1334	−	47.9144i	−3.47697	−	1.84834i
$673$	9.63778	+	12.0854i	0.371509	+	0.465858i	0.932082	−	0.362247i	$-0.117990\pi$
$673$	9.63778	+	12.0854i	0.371509	+	0.465858i	−0.560573	+	0.828105i	$0.689419\pi$
$674$	11.5707	+	3.56908i	0.445686	+	0.137476i
$675$	15.0563	−	38.3629i	0.579519	−	1.47659i
$676$	0.437427	+	5.83706i	0.0168241	+	0.224502i
$677$	−8.24238	−	21.0012i	−0.316780	−	0.807143i	−0.997232	−	0.0743505i	$-0.976312\pi$
$677$	−8.24238	−	21.0012i	−0.316780	−	0.807143i	0.680452	−	0.732793i	$-0.261784\pi$
$678$	25.5467	−	12.3026i	0.981114	−	0.472479i
$679$	−23.1253	−	17.1532i	−0.887466	−	0.658281i
$680$	−80.1210	−	38.5842i	−3.07250	−	1.47964i
$681$	1.88572	−	25.1632i	0.0722609	−	0.964255i
$682$	−3.45500	+	1.06573i	−0.132299	+	0.0408088i
$683$	8.19813	+	5.58939i	0.313693	+	0.213872i	0.709923	−	0.704279i	$-0.248730\pi$
$683$	8.19813	+	5.58939i	0.313693	+	0.213872i	−0.396231	+	0.918151i	$0.629682\pi$
$684$	−11.6789	+	1.76032i	−0.446555	+	0.0673074i
$685$	60.5678			2.31418
$686$	−10.0165	+	50.9254i	−0.382434	+	1.94434i
$687$	−6.95523			−0.265359
$688$	132.822	−	20.0198i	5.06381	−	0.763247i
$689$	5.23101	+	3.56644i	0.199286	+	0.135871i
$690$	105.222	−	32.4568i	4.00575	−	1.23561i
$691$	−1.87873	+	25.0699i	−0.0714703	+	0.953705i	0.840066	+	0.542485i	$0.182516\pi$
$691$	−1.87873	+	25.0699i	−0.0714703	+	0.953705i	−0.911536	+	0.411220i	$0.865103\pi$
$692$	78.4364	+	37.7730i	2.98170	+	1.43591i
$693$	−5.05156	−	3.74701i	−0.191893	−	0.142337i
$694$	20.8960	−	10.0630i	0.793201	−	0.381985i
$695$	12.0657	+	30.7429i	0.457679	+	1.16615i
$696$	5.44716	+	72.6872i	0.206474	+	2.75520i
$697$	5.26341	−	13.4109i	0.199366	−	0.507976i
$698$	44.8519	+	13.8350i	1.69767	+	0.523662i
$699$	3.96443	+	4.97124i	0.149949	+	0.188030i
$700$	101.168	+	53.7805i	3.82380	+	2.03271i
$701$	−17.7980	+	22.3180i	−0.672221	+	0.842939i	−0.994612	−	0.103668i	$-0.966942\pi$
$701$	−17.7980	+	22.3180i	−0.672221	+	0.842939i	0.322391	+	0.946607i	$0.395514\pi$
$702$	12.8981	−	8.79380i	0.486809	−	0.331900i
$703$	−2.30645	+	2.14008i	−0.0869895	+	0.0807145i
$704$	41.1337	+	71.2457i	1.55029	+	2.68517i
$705$	9.04039	−	15.6584i	0.340481	−	0.589730i
$706$	8.37106	+	36.6760i	0.315049	+	1.38032i
$707$	−4.20263	−	12.1037i	−0.158056	−	0.455206i
$708$	−16.7290	+	73.2944i	−0.628713	+	2.75457i
$709$	−3.46593	−	3.21591i	−0.130166	−	0.120776i	0.612404	−	0.790545i	$-0.290203\pi$
$709$	−3.46593	−	3.21591i	−0.130166	−	0.120776i	−0.742570	+	0.669769i	$0.766393\pi$
$710$	−13.3661	−	2.01461i	−0.501619	−	0.0756069i
$711$	−14.2511	−	2.14801i	−0.534457	−	0.0805565i
$712$	−25.0944	−	23.2842i	−0.940451	−	0.872611i
$713$	−1.47576	+	6.46573i	−0.0552677	+	0.242144i
$714$	−20.7528	−	7.31775i	−0.776653	−	0.273860i
$715$	−1.34038	−	5.87261i	−0.0501275	−	0.219623i
$716$	−51.8353	+	89.7814i	−1.93718	+	3.35529i
$717$	−7.70425	−	13.3441i	−0.287720	−	0.498346i
$718$	−15.5299	+	14.4096i	−0.579570	+	0.537763i
$719$	1.18169	−	0.805660i	0.0440694	−	0.0300460i	−0.541085	−	0.840968i	$-0.681986\pi$
$719$	1.18169	−	0.805660i	0.0440694	−	0.0300460i	0.585154	+	0.810922i	$0.301034\pi$
$720$	56.6082	−	70.9844i	2.10966	−	2.64543i
$721$	−29.1919	+	33.7571i	−1.08716	+	1.25718i
$722$	−29.5141	−	37.0095i	−1.09840	−	1.37735i
$723$	10.4746	+	3.23098i	0.389553	+	0.120161i
$724$	−6.22140	+	15.8519i	−0.231217	+	0.589130i
$725$	−2.94074	−	39.2414i	−0.109216	−	1.45739i
$726$	10.4895	+	26.7267i	0.389300	+	0.991921i
$727$	−0.0276734	+	0.0133268i	−0.00102635	+	0.000494264i	−0.434397	−	0.900722i	$-0.643038\pi$
$727$	−0.0276734	+	0.0133268i	−0.00102635	+	0.000494264i	0.433370	+	0.901216i	$0.357324\pi$
$728$	13.2896	+	25.2921i	0.492544	+	0.937387i
$729$	−22.7378	−	10.9500i	−0.842142	−	0.405554i
$730$	−1.54887	+	20.6682i	−0.0573261	+	0.764963i
$731$	16.1776	−	4.99014i	0.598351	−	0.184567i
$732$	−27.6485	−	18.8504i	−1.02192	−	0.696731i
$733$	21.6363	−	3.26114i	0.799154	−	0.120453i	0.263245	−	0.964729i	$-0.415207\pi$
$733$	21.6363	−	3.26114i	0.799154	−	0.120453i	0.535909	+	0.844276i	$0.319969\pi$
$734$	−16.4164			−0.605941
$735$	29.0610	+	11.5671i	1.07193	+	0.426660i
$736$	267.352			9.85473
$737$	−10.6192	+	1.60059i	−0.391163	+	0.0589583i
$738$	19.8205	+	13.5134i	0.729604	+	0.497436i
$739$	−20.2639	+	6.25060i	−0.745421	+	0.229932i	−0.644121	−	0.764924i	$-0.722777\pi$
$739$	−20.2639	+	6.25060i	−0.745421	+	0.229932i	−0.101301	+	0.994856i	$0.532300\pi$
$740$	3.33746	−	44.5353i	0.122687	−	1.63715i
$741$	−1.66018	−	0.799501i	−0.0609883	−	0.0293704i
$742$	46.1022	+	8.83786i	1.69247	+	0.324448i
$743$	15.3193	−	7.37741i	0.562012	−	0.270651i	−0.131234	−	0.991351i	$-0.541894\pi$
$743$	15.3193	−	7.37741i	0.562012	−	0.270651i	0.693247	+	0.720701i	$0.256180\pi$
$744$	−3.77588	−	9.62077i	−0.138430	−	0.352715i
$745$	−0.429988	−	5.73779i	−0.0157536	−	0.210217i
$746$	−6.12453	+	15.6050i	−0.224235	+	0.571341i
$747$	−19.6063	−	6.04774i	−0.717357	−	0.221275i
$748$	14.6015	+	18.3097i	0.533884	+	0.669469i
$749$	11.4115	−	42.1825i	0.416968	−	1.54131i
$750$	18.7241	−	23.4793i	0.683708	−	0.857342i
$751$	5.35731	−	3.65255i	0.195491	−	0.133284i	−0.461619	−	0.887078i	$-0.652731\pi$
$751$	5.35731	−	3.65255i	0.195491	−	0.133284i	0.657110	+	0.753795i	$0.271779\pi$
$752$	55.0407	−	51.0703i	2.00713	−	1.86234i
$753$	16.9274	+	29.3192i	0.616870	+	1.06845i
$754$	7.45300	−	12.9090i	0.271422	−	0.470117i
$755$	−1.60616	−	7.03703i	−0.0584540	−	0.256104i
$756$	46.0729	−	72.9348i	1.67566	−	2.65261i
$757$	−10.6295	+	46.5708i	−0.386335	+	1.69264i	0.290799	+	0.956784i	$0.406079\pi$
$757$	−10.6295	+	46.5708i	−0.386335	+	1.69264i	−0.677134	+	0.735860i	$0.736778\pi$
$758$	−29.4072	−	27.2859i	−1.06812	−	0.991068i
$759$	−18.8771	−	2.84526i	−0.685195	−	0.103277i
$760$	−54.5957	−	8.22898i	−1.98039	−	0.298496i
$761$	−22.7445	−	21.1038i	−0.824486	−	0.765011i	0.150185	−	0.988658i	$-0.452013\pi$
$761$	−22.7445	−	21.1038i	−0.824486	−	0.765011i	−0.974670	+	0.223647i	$0.928204\pi$
$762$	−2.65135	+	11.6163i	−0.0960484	+	0.420815i
$763$	−9.76834	+	6.10515i	−0.353638	+	0.221021i
$764$	−16.1106	−	70.5851i	−0.582861	−	2.55368i
$765$	5.72165	−	9.91019i	0.206867	−	0.358304i
$766$	−14.4166	−	24.9703i	−0.520894	−	0.902215i
$767$	7.41919	−	6.88400i	0.267891	−	0.248567i
$768$	−116.475	+	79.4112i	−4.20292	+	2.86550i
$769$	25.3733	−	31.8171i	0.914984	−	1.14735i	−0.0736912	−	0.997281i	$-0.523478\pi$
$769$	25.3733	−	31.8171i	0.914984	−	1.14735i	0.988675	−	0.150072i	$-0.0479507\pi$
$770$	−26.4347	−	35.9985i	−0.952640	−	1.29730i
$771$	11.3655	+	14.2519i	0.409319	+	0.513270i
$772$	40.7939	+	12.5833i	1.46820	+	0.452881i
$773$	9.44170	−	24.0571i	0.339594	−	0.865272i	−0.654431	−	0.756122i	$-0.727092\pi$
$773$	9.44170	−	24.0571i	0.339594	−	0.865272i	0.994025	−	0.109151i	$-0.0348131\pi$
$774$	2.10663	+	28.1110i	0.0757212	+	1.01043i
$775$	2.03847	+	5.19394i	0.0732240	+	0.186572i
$776$	−105.881	+	50.9895i	−3.80090	+	1.83042i
$777$	−0.254551	−	7.27075i	−0.00913195	−	0.260837i
$778$	74.2837	+	35.7731i	2.66320	+	1.28253i
$779$	0.668443	−	8.91975i	0.0239494	−	0.319583i
$780$	24.9931	−	7.70935i	0.894897	−	0.276039i
$781$	1.93622	+	1.32009i	0.0692835	+	0.0472367i
$782$	56.9902	−	8.58989i	2.03796	−	0.307174i
$783$	−29.6294			−1.05887
$784$	101.162	+	81.4725i	3.61292	+	2.90973i
$785$	−12.2799			−0.438287
$786$	3.84726	−	0.579881i	0.137227	−	0.0206837i
$787$	−15.0745	−	10.2776i	−0.537348	−	0.366358i	0.264031	−	0.964514i	$-0.414948\pi$
$787$	−15.0745	−	10.2776i	−0.537348	−	0.366358i	−0.801379	+	0.598156i	$0.795900\pi$
$788$	−43.1730	+	13.3171i	−1.53798	+	0.474402i
$789$	0.338199	−	4.51296i	0.0120402	−	0.160666i
$790$	−92.2049	−	44.4036i	−3.28050	−	1.57981i
$791$	−20.3892	+	5.41077i	−0.724956	+	0.192385i
$792$	−23.1290	+	11.1383i	−0.821852	+	0.395783i
$793$	1.64584	+	4.19353i	0.0584455	+	0.148917i
$794$	3.99256	+	53.2770i	0.141691	+	1.89073i
$795$	10.3354	−	26.3340i	0.366557	−	0.933972i
$796$	−54.7912	−	16.9009i	−1.94202	−	0.599035i
$797$	21.9045	+	27.4673i	0.775896	+	0.972943i	0.999999	−	0.00162285i	$-0.000516569\pi$
$797$	21.9045	+	27.4673i	0.775896	+	0.972943i	−0.224103	+	0.974566i	$0.571945\pi$
$798$	−13.6515	−	0.543670i	−0.483258	−	0.0192457i
$799$	5.90038	−	7.39884i	0.208740	−	0.261752i
$800$	185.845	−	126.707i	6.57060	−	4.47976i
$801$	3.22917	−	2.99623i	0.114097	−	0.105867i
$802$	−18.7003	−	32.3899i	−0.660332	−	1.14373i
$803$	1.79662	−	3.11184i	0.0634014	−	0.109814i
$804$	−10.3762	−	45.4611i	−0.365940	−	1.60329i
$805$	−81.4282	+	8.97657i	−2.86997	+	0.316383i
$806$	−0.470302	+	2.06053i	−0.0165657	+	0.0725790i
$807$	17.9925	+	16.6946i	0.633368	+	0.587679i
$808$	−51.7113	−	7.79422i	−1.81920	−	0.274200i
$809$	14.9211	+	2.24899i	0.524598	+	0.0790704i	0.406002	−	0.913872i	$-0.366923\pi$
$809$	14.9211	+	2.24899i	0.524598	+	0.0790704i	0.118596	+	0.992943i	$0.462161\pi$
$810$	−20.9783	−	19.4650i	−0.737101	−	0.683930i
$811$	−5.93832	+	26.0175i	−0.208523	+	0.913597i	0.757028	+	0.653382i	$0.226651\pi$
$811$	−5.93832	+	26.0175i	−0.208523	+	0.913597i	−0.965551	+	0.260215i	$0.916207\pi$
$812$	9.41973	−	81.8337i	0.330568	−	2.87180i
$813$	7.96246	+	34.8858i	0.279256	+	1.22350i
$814$	−5.19407	+	8.99640i	−0.182052	+	0.315324i
$815$	−22.1536	−	38.3711i	−0.776006	−	1.34408i
$816$	−40.3700	+	37.4579i	−1.41323	+	1.31129i
$817$	8.68474	−	5.92115i	0.303840	−	0.207155i
$818$	−22.5119	+	28.2290i	−0.787110	+	0.987005i
$819$	−3.37331	+	1.46212i	−0.117873	+	0.0510905i
$820$	79.1605	+	99.2642i	2.76441	+	3.46645i
$821$	−9.66575	−	2.98149i	−0.337337	−	0.104055i	0.121459	−	0.992596i	$-0.461243\pi$
$821$	−9.66575	−	2.98149i	−0.337337	−	0.104055i	−0.458796	+	0.888542i	$0.651719\pi$
$822$	22.3489	−	56.9440i	0.779507	−	1.98615i
$823$	−3.10610	−	41.4480i	−0.108272	−	1.44479i	−0.741568	−	0.670878i	$-0.765918\pi$
$823$	−3.10610	−	41.4480i	−0.108272	−	1.44479i	0.633296	−	0.773909i	$-0.281701\pi$
$824$	66.5487	+	169.563i	2.31833	+	5.90701i
$825$	−14.4705	+	6.96863i	−0.503798	+	0.242616i
$826$	30.1737	−	68.7077i	1.04988	−	2.39065i
$827$	−26.7766	−	12.8949i	−0.931115	−	0.448401i	−0.0940885	−	0.995564i	$-0.529994\pi$
$827$	−26.7766	−	12.8949i	−0.931115	−	0.448401i	−0.837026	+	0.547163i	$0.815708\pi$
$828$	−5.34522	+	71.3270i	−0.185759	+	2.47879i
$829$	43.6776	−	13.4728i	1.51699	−	0.467928i	0.579213	−	0.815176i	$-0.303360\pi$
$829$	43.6776	−	13.4728i	1.51699	−	0.467928i	0.937773	+	0.347248i	$0.112884\pi$
$830$	−120.380	−	82.0740i	−4.17846	−	2.84883i
$831$	21.1633	−	3.18986i	0.734147	−	0.110655i
$832$	48.0895			1.66720
$833$	14.1383	+	8.25362i	0.489862	+	0.285971i
$834$	33.3557			1.15501
$835$	65.5158	−	9.87492i	2.26727	−	0.341736i
$836$	12.0136	+	8.19074i	0.415500	+	0.283283i
$837$	4.01450	−	1.23831i	0.138762	−	0.0428023i
$838$	−6.48077	+	86.4799i	−0.223875	+	2.98740i
$839$	4.62819	+	2.22882i	0.159783	+	0.0769474i	0.512066	−	0.858946i	$-0.328880\pi$
$839$	4.62819	+	2.22882i	0.159783	+	0.0769474i	−0.352283	+	0.935893i	$0.614595\pi$
$840$	96.9664	−	83.0414i	3.34566	−	2.86520i
$841$	0.637919	−	0.307205i	0.0219972	−	0.0105933i
$842$	31.1517	+	79.3733i	1.07356	+	2.73539i
$843$	−1.62786	−	21.7223i	−0.0560665	−	0.748155i
$844$	59.4053	−	151.362i	2.04482	−	5.21010i
$845$	−3.36468	−	1.03787i	−0.115749	−	0.0357037i
$846$	9.82474	+	12.3198i	0.337781	+	0.423565i
$847$	−3.92067	−	20.9974i	−0.134716	−	0.721480i
$848$	73.2467	−	91.8484i	2.51530	−	3.15409i
$849$	−1.16104	+	0.791582i	−0.0398467	+	0.0271670i
$850$	35.5446	−	32.9806i	1.21917	−	1.13122i
$851$	9.52728	+	16.5017i	0.326591	+	0.565672i
$852$	−5.08765	+	8.81207i	−0.174300	+	0.301897i
$853$	3.19611	+	14.0031i	0.109433	+	0.479456i	0.999711	+	0.0240391i	$0.00765263\pi$
$853$	3.19611	+	14.0031i	0.109433	+	0.479456i	−0.890278	+	0.455417i	$0.849490\pi$
$854$	23.5617	+	23.6752i	0.806264	+	0.810150i
$855$	1.58097	−	6.92666i	0.0540679	−	0.236887i
$856$	−130.747	−	121.315i	−4.46884	−	4.14648i
$857$	43.4209	+	6.54465i	1.48323	+	0.223561i	0.840199	−	0.542279i	$-0.182438\pi$
$857$	43.4209	+	6.54465i	1.48323	+	0.223561i	0.643032	+	0.765840i	$0.277676\pi$
$858$	−6.01584	−	0.906741i	−0.205377	−	0.0309556i
$859$	−3.27513	−	3.03888i	−0.111746	−	0.103685i	0.622321	−	0.782762i	$-0.286190\pi$
$859$	−3.27513	−	3.03888i	−0.111746	−	0.103685i	−0.734067	+	0.679077i	$0.762380\pi$
$860$	−33.1996	+	145.457i	−1.13210	+	4.96004i
$861$	14.5896	+	14.6599i	0.497211	+	0.499608i
$862$	−13.6527	−	59.8165i	−0.465014	−	2.03736i
$863$	28.7422	−	49.7830i	0.978397	−	1.69463i	0.310163	−	0.950683i	$-0.399616\pi$
$863$	28.7422	−	49.7830i	0.978397	−	1.69463i	0.668235	−	0.743951i	$-0.267050\pi$
$864$	−84.6791	−	146.669i	−2.88084	−	4.98977i
$865$	−38.3895	+	35.6203i	−1.30528	+	1.21113i
$866$	−72.3917	+	49.3558i	−2.45997	+	1.67718i
$867$	9.12301	−	11.4399i	0.309834	−	0.388519i
$868$	2.14382	+	11.4814i	0.0727659	+	0.389703i
$869$	11.0622	+	13.8716i	0.375260	+	0.470561i
$870$	−63.6460	−	19.6322i	−2.15780	−	0.665594i
$871$	−2.29345	+	5.84362i	−0.0777107	+	0.198004i
$872$	3.51356	+	46.8852i	0.118984	+	1.58773i
$873$	−5.52486	−	14.0771i	−0.186988	−	0.476438i
$874$	32.2395	−	15.5257i	1.09052	−	0.525165i
$875$	−16.9697	+	14.5328i	−0.573681	+	0.491297i
$876$	14.0571	+	6.76952i	0.474944	+	0.228721i
$877$	−3.78043	+	50.4464i	−0.127656	+	1.70345i	0.454802	+	0.890593i	$0.349710\pi$
$877$	−3.78043	+	50.4464i	−0.127656	+	1.70345i	−0.582458	+	0.812861i	$0.697909\pi$
$878$	−7.76662	+	2.39569i	−0.262111	+	0.0808505i
$879$	−23.4780	−	16.0070i	−0.791893	−	0.539903i
$880$	−110.525	+	16.6589i	−3.72578	+	0.561571i
$881$	45.3596			1.52820			0.764101	−	0.645096i	$-0.223183\pi$
$881$	45.3596			1.52820			0.764101	+	0.645096i	$0.223183\pi$
$882$	−18.6371	+	19.8933i	−0.627543	+	0.669842i
$883$	−49.3622			−1.66117			−0.830585	−	0.556892i	$-0.811994\pi$
$883$	−49.3622			−1.66117			−0.830585	+	0.556892i	$0.811994\pi$
$884$	13.5367	−	2.04032i	0.455288	−	0.0686235i
$885$	−37.3658	−	25.4755i	−1.25604	−	0.856351i
$886$	−10.8135	+	3.33553i	−0.363288	+	0.112059i
$887$	−0.161828	+	2.15944i	−0.00543364	+	0.0725069i	−0.999261	−	0.0384272i	$-0.987765\pi$
$887$	−0.161828	+	2.15944i	−0.00543364	+	0.0725069i	0.993828	+	0.110934i	$0.0353843\pi$
$888$	−26.7536	−	12.8839i	−0.897793	−	0.432354i
$889$	3.56433	−	8.11624i	0.119544	−	0.272210i
$890$	28.1828	−	13.5721i	0.944690	−	0.454939i
$891$	1.81260	+	4.61843i	0.0607244	+	0.154723i
$892$	1.95426	+	26.0779i	0.0654336	+	0.873151i
$893$	2.14659	−	5.46942i	0.0718328	−	0.183027i
$894$	−5.55316	−	1.71292i	−0.185725	−	0.0572887i
$895$	−38.8826	−	48.7572i	−1.29970	−	1.62977i
$896$	179.540	−	77.8193i	5.99802	−	2.59976i
$897$	−6.95767	+	8.72465i	−0.232310	+	0.291308i
$898$	−35.5328	+	24.2259i	−1.18575	+	0.808428i
$899$	2.94065	−	2.72852i	0.0980760	−	0.0910013i
$900$	30.0885	+	52.1149i	1.00295	+	1.73716i
$901$	7.40338	−	12.8230i	0.246642	−	0.427197i
$902$	−6.57155	−	28.7918i	−0.218809	−	0.958663i
$903$	−2.77929	+	24.1451i	−0.0924890	+	0.803497i
$904$	−19.1591	+	83.9417i	−0.637224	+	2.79186i
$905$	−7.50922	−	6.96754i	−0.249615	−	0.231609i
$906$	−7.20866	−	1.08653i	−0.239492	−	0.0360976i
$907$	−20.1396	−	3.03556i	−0.668726	−	0.100794i	−0.194100	−	0.980982i	$-0.562179\pi$
$907$	−20.1396	−	3.03556i	−0.668726	−	0.100794i	−0.474626	+	0.880188i	$0.657417\pi$
$908$	85.3218	+	79.1671i	2.83151	+	2.62725i
$909$	1.49744	−	6.56071i	0.0496669	−	0.217605i
$910$	−25.9499	+	2.86069i	−0.860231	+	0.0948311i
$911$	7.24990	+	31.7639i	0.240200	+	1.05238i	0.940835	+	0.338865i	$0.110043\pi$
$911$	7.24990	+	31.7639i	0.240200	+	1.05238i	−0.700635	+	0.713520i	$0.747100\pi$
$912$	−17.0960	+	29.6111i	−0.566105	+	0.980522i
$913$	12.6296	+	21.8751i	0.417978	+	0.723959i
$914$	−33.2805	+	30.8798i	−1.10082	+	1.02141i
$915$	16.6319	−	11.3394i	0.549833	−	0.374870i
$916$	20.0025	−	25.0824i	0.660902	−	0.828745i
$917$	−2.89227	−	0.115184i	−0.0955110	−	0.00380372i
$918$	−22.7630	−	28.5440i	−0.751292	−	0.942091i
$919$	−25.0076	−	7.71383i	−0.824926	−	0.254456i	−0.146580	−	0.989199i	$-0.546827\pi$
$919$	−25.0076	−	7.71383i	−0.824926	−	0.254456i	−0.678346	+	0.734743i	$0.737303\pi$
$920$	−122.159	+	311.255i	−4.02745	+	10.2618i
$921$	−1.91753	−	25.5876i	−0.0631846	−	0.843140i
$922$	26.7027	+	68.0374i	0.879407	+	2.24069i
$923$	1.23419	−	0.594353i	0.0406238	−	0.0195634i
$924$	−32.4957	+	8.62352i	−1.06903	+	0.283693i
$925$	14.4434	+	6.95557i	0.474896	+	0.228698i
$926$	3.87777	−	51.7452i	0.127431	−	1.70045i
$927$	−22.3985	+	6.90903i	−0.735664	+	0.226922i
$928$	−133.614	−	91.0965i	−4.38609	−	2.99039i
$929$	16.2079	−	2.44295i	0.531764	−	0.0801505i	0.122329	−	0.992490i	$-0.460964\pi$
$929$	16.2079	−	2.44295i	0.531764	−	0.0801505i	0.409435	+	0.912339i	$0.365726\pi$
$930$	9.44393			0.309679
$931$	9.89848	+	2.30939i	0.324409	+	0.0756872i
$932$	−29.3289			−0.960699
$933$	5.89317	−	0.888253i	0.192934	−	0.0290801i
$934$	81.6536	+	55.6705i	2.67179	+	1.82159i
$935$	−13.4618	+	4.15241i	−0.440247	+	0.135798i
$936$	−1.12141	+	14.9641i	−0.0366544	+	0.489118i
$937$	27.0827	+	13.0423i	0.884752	+	0.426074i	0.820358	−	0.571850i	$-0.193774\pi$
$937$	27.0827	+	13.0423i	0.884752	+	0.426074i	0.0643943	+	0.997925i	$0.479488\pi$
$938$	1.62854	+	46.5162i	0.0531738	+	1.51881i
$939$	−16.4432	+	7.91863i	−0.536604	+	0.258415i
$940$	30.4691	+	77.6340i	0.993792	+	2.53214i
$941$	1.50423	+	20.0725i	0.0490364	+	0.654345i	0.966523	+	0.256579i	$0.0825954\pi$
$941$	1.50423	+	20.0725i	0.0490364	+	0.654345i	−0.917487	+	0.397766i	$0.869786\pi$
$942$	−4.53114	+	11.5451i	−0.147632	+	0.376161i
$943$	−51.7632	−	15.9668i	−1.68564	−	0.519952i
$944$	−117.093	−	146.829i	−3.81104	−	4.77889i
$945$	30.7155	+	41.8281i	0.999176	+	1.36067i
$946$	21.6376	−	27.1327i	0.703498	−	0.882159i
$947$	−38.8704	+	26.5014i	−1.26312	+	0.861179i	−0.994770	−	0.102143i	$-0.967430\pi$
$947$	−38.8704	+	26.5014i	−1.26312	+	0.861179i	−0.268348	+	0.963322i	$0.586478\pi$
$948$	−56.4736	+	52.3998i	−1.83418	+	1.70187i
$949$	−1.05022	−	1.81903i	−0.0340914	−	0.0590481i
$950$	15.0525	−	26.0717i	0.488368	−	0.845878i
$951$	6.62091	+	29.0081i	0.214698	+	0.940653i
$952$	56.6633	−	35.4142i	1.83647	−	1.14778i
$953$	−1.29187	+	5.66004i	−0.0418476	+	0.183347i	−0.991532	−	0.129862i	$-0.958547\pi$
$953$	−1.29187	+	5.66004i	−0.0418476	+	0.183347i	0.949684	+	0.313208i	$0.101404\pi$
$954$	18.0732	+	16.7695i	0.585143	+	0.542933i
$955$	43.0658	+	6.49113i	1.39358	+	0.210048i
$956$	70.2791	+	10.5929i	2.27299	+	0.342598i
$957$	8.46468	+	7.85408i	0.273624	+	0.253886i
$958$	1.61038	−	7.05555i	0.0520291	−	0.227954i
$959$	−24.3056	+	38.4765i	−0.784868	+	1.24247i
$960$	−47.8153	−	209.493i	−1.54323	−	6.76135i
$961$	15.2156	−	26.3542i	0.490826	−	0.850135i
$962$	3.03620	+	5.25884i	0.0978909	+	0.169552i
$963$	16.8247	−	15.6110i	0.542167	−	0.503058i
$964$	−41.7755	+	28.4821i	−1.34550	+	0.917346i
$965$	−16.0115	+	20.0777i	−0.515427	+	0.646325i
$966$	−21.6066	+	79.8686i	−0.695182	+	2.56973i
$967$	0.823517	+	1.03266i	0.0264825	+	0.0332080i	0.794896	−	0.606745i	$-0.207525\pi$
$967$	0.823517	+	1.03266i	0.0264825	+	0.0332080i	−0.768414	+	0.639953i	$0.778954\pi$
$968$	−83.3104	−	25.6979i	−2.67770	−	0.825960i
$969$	−1.57443	+	4.01159i	−0.0505781	+	0.128871i
$970$	−8.02484	−	107.084i	−0.257662	−	3.43826i
$971$	13.5136	+	34.4322i	0.433673	+	1.10498i	0.966023	+	0.258457i	$0.0832140\pi$
$971$	13.5136	+	34.4322i	0.433673	+	1.10498i	−0.532349	+	0.846525i	$0.678691\pi$
$972$	68.7225	−	33.0950i	2.20427	−	1.06152i
$973$	−24.3717	−	4.67209i	−0.781322	−	0.149780i
$974$	−24.6608	−	11.8760i	−0.790182	−	0.380532i
$975$	−0.701602	+	9.36223i	−0.0224693	+	0.299831i
$976$	79.8787	−	24.6393i	2.55686	−	0.788686i
$977$	41.1865	+	28.0805i	1.31767	+	0.898374i	0.998778	−	0.0494163i	$-0.0157361\pi$
$977$	41.1865	+	28.0805i	1.31767	+	0.898374i	0.318894	+	0.947790i	$0.396688\pi$
$978$	−44.2498	+	6.66959i	−1.41495	+	0.213270i
$979$	−5.42304			−0.173321
$980$	−125.290	+	71.5355i	−4.00226	+	2.28512i
$981$	−6.05016			−0.193167
$982$	−13.4345	+	2.02493i	−0.428712	+	0.0646180i
$983$	20.1596	+	13.7446i	0.642992	+	0.438384i	0.840422	−	0.541933i	$-0.182307\pi$
$983$	20.1596	+	13.7446i	0.642992	+	0.438384i	−0.197430	+	0.980317i	$0.563260\pi$
$984$	80.6669	−	24.8824i	2.57157	−	0.793223i
$985$	2.03102	−	27.1021i	0.0647137	−	0.863544i
$986$	−31.4088	−	15.1257i	−1.00026	−	0.481699i
$987$	6.31933	+	12.0267i	0.201147	+	0.382813i
$988$	7.65772	−	3.68776i	0.243625	−	0.117323i
$989$	−23.2562	−	59.2558i	−0.739504	−	1.88422i
$990$	−1.75297	−	23.3918i	−0.0557131	−	0.743440i
$991$	2.70472	−	6.89151i	0.0859183	−	0.218916i	−0.881457	−	0.472265i	$-0.843437\pi$
$991$	2.70472	−	6.89151i	0.0859183	−	0.218916i	0.967375	+	0.253348i	$0.0815319\pi$
$992$	21.9106	+	6.75854i	0.695664	+	0.214584i
$993$	−10.2269	−	12.8241i	−0.324541	−	0.406962i
$994$	6.64353	−	7.68249i	0.210720	−	0.243674i
$995$	21.5054	−	26.9669i	0.681766	−	0.854908i
$996$	−90.6196	+	61.7834i	−2.87139	+	1.95768i
$997$	−20.1902	+	18.7338i	−0.639430	+	0.593304i	−0.931787	−	0.363005i	$-0.881751\pi$
$997$	−20.1902	+	18.7338i	−0.639430	+	0.593304i	0.292357	+	0.956309i	$0.405560\pi$
$998$	−9.62022	−	16.6627i	−0.304523	−	0.527449i
$999$	6.03520	−	10.4533i	0.190945	−	0.330727i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	637.2.bl.b.534.1	yes	348
49.39	even	21	inner	637.2.bl.b.235.1	✓	348

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
637.2.bl.b.235.1	✓	348	49.39	even	21	inner
637.2.bl.b.534.1	yes	348	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 637 = 7^{2} \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	637.bl (of order \(21\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.77110 + 0.417676i) q^{2} +(-1.04851 - 0.714861i) q^{3} +(5.59337 - 1.72533i) q^{4} +(-0.263133 + 3.51127i) q^{5} +(3.20410 + 1.54301i) q^{6} +(-2.12498 - 1.57621i) q^{7} +(-9.72941 + 4.68544i) q^{8} +(-0.507680 - 1.29355i) q^{9} +O(q^{10})\)	\(q+(-2.77110 + 0.417676i) q^{2} +(-1.04851 - 0.714861i) q^{3} +(5.59337 - 1.72533i) q^{4} +(-0.263133 + 3.51127i) q^{5} +(3.20410 + 1.54301i) q^{6} +(-2.12498 - 1.57621i) q^{7} +(-9.72941 + 4.68544i) q^{8} +(-0.507680 - 1.29355i) q^{9} +(-0.737404 - 9.83997i) q^{10} +(-0.624995 + 1.59246i) q^{11} +(-7.09807 - 2.18946i) q^{12} +(0.623490 + 0.781831i) q^{13} +(6.54688 + 3.48029i) q^{14} +(2.78597 - 3.49349i) q^{15} +(15.3315 - 10.4528i) q^{16} +(1.71441 - 1.59074i) q^{17} +(1.94711 + 3.37250i) q^{18} +(0.726022 - 1.25751i) q^{19} +(4.58629 + 20.0938i) q^{20} +(1.10129 + 3.17174i) q^{21} +(1.06679 - 4.67391i) q^{22} +(-6.44619 - 5.98119i) q^{23} +(13.5508 + 2.04245i) q^{24} +(-7.31562 - 1.10265i) q^{25} +(-2.05430 - 1.90611i) q^{26} +(-1.23955 + 5.43080i) q^{27} +(-14.6053 - 5.15006i) q^{28} +(1.18359 + 5.18566i) q^{29} +(-6.26103 + 10.8444i) q^{30} +(-0.377091 - 0.653141i) q^{31} +(-22.2869 + 20.6792i) q^{32} +(1.79370 - 1.22292i) q^{33} +(-4.08638 + 5.12416i) q^{34} +(6.09367 - 7.04663i) q^{35} +(-5.07144 - 6.35938i) q^{36} +(-2.07059 - 0.638692i) q^{37} +(-1.48665 + 3.78791i) q^{38} +(-0.0948335 - 1.26546i) q^{39} +(-13.8917 - 35.3955i) q^{40} +(5.55007 - 2.67277i) q^{41} +(-4.37653 - 8.32921i) q^{42} +(6.52201 + 3.14083i) q^{43} +(-0.748314 + 9.98556i) q^{44} +(4.67558 - 1.44223i) q^{45} +(20.3612 + 13.8820i) q^{46} +(4.00122 - 0.603087i) q^{47} -23.5475 q^{48} +(2.03110 + 6.69885i) q^{49} +20.7328 q^{50} +(-2.93473 + 0.442339i) q^{51} +(4.83633 + 3.29735i) q^{52} +(6.04984 - 1.86613i) q^{53} +(1.16659 - 15.5670i) q^{54} +(-5.42711 - 2.61356i) q^{55} +(28.0601 + 5.37915i) q^{56} +(-1.66018 + 0.799501i) q^{57} +(-5.44577 - 13.8756i) q^{58} +(-0.756340 - 10.0927i) q^{59} +(9.55554 - 24.3471i) q^{60} +(4.30480 + 1.32785i) q^{61} +(1.31776 + 1.65242i) q^{62} +(-0.960096 + 3.54898i) q^{63} +(29.9833 - 37.5979i) q^{64} +(-2.90928 + 1.98352i) q^{65} +(-4.45973 + 4.13803i) q^{66} +(3.13878 + 5.43653i) q^{67} +(6.84479 - 11.8555i) q^{68} +(2.48317 + 10.8795i) q^{69} +(-13.9429 + 22.0721i) q^{70} +(0.304819 - 1.33550i) q^{71} +(11.0003 + 10.2067i) q^{72} +(-2.07697 - 0.313053i) q^{73} +(6.00457 + 0.905043i) q^{74} +(6.88225 + 6.38579i) q^{75} +(1.89130 - 8.28633i) q^{76} +(3.83816 - 2.39883i) q^{77} +(0.791346 + 3.46711i) q^{78} +(5.18567 - 8.98184i) q^{79} +(32.6685 + 56.5834i) q^{80} +(2.12598 - 1.97262i) q^{81} +(-14.2634 + 9.72464i) q^{82} +(9.20597 - 11.5439i) q^{83} +(11.6322 + 15.8406i) q^{84} +(5.13440 + 6.43833i) q^{85} +(-19.3850 - 5.97947i) q^{86} +(2.46602 - 6.28331i) q^{87} +(-1.38054 - 18.4221i) q^{88} +(1.15815 + 2.95091i) q^{89} +(-12.3541 + 5.94942i) q^{90} +(-0.0925716 - 2.64413i) q^{91} +(-46.3755 - 22.3333i) q^{92} +(-0.0715218 + 0.954392i) q^{93} +(-10.8359 + 3.34242i) q^{94} +(4.22441 + 2.88015i) q^{95} +(38.1507 - 5.75030i) q^{96} +10.8826 q^{97} +(-8.42633 - 17.7148i) q^{98} +2.37722 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9}+O(q^{10}) \) 348 * q + 3 * q^2 + 31 * q^4 + q^5 - 4 * q^6 + 27 * q^7 - 12 * q^8 + 13 * q^9	\( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99}+O(q^{100}) \) 348 * q + 3 * q^2 + 31 * q^4 + q^5 - 4 * q^6 + 27 * q^7 - 12 * q^8 + 13 * q^9 - 5 * q^10 + 2 * q^11 - 40 * q^12 - 58 * q^13 - 45 * q^14 - 14 * q^15 + 27 * q^16 - 12 * q^17 - 59 * q^18 - 24 * q^19 - 99 * q^20 - 2 * q^21 - 10 * q^22 - 14 * q^23 + 28 * q^25 + 3 * q^26 - 9 * q^27 - 37 * q^28 - 26 * q^29 - 83 * q^30 - 49 * q^31 + 33 * q^32 + 2 * q^33 - 130 * q^34 - 38 * q^35 - 74 * q^36 - 4 * q^37 + 92 * q^38 + 24 * q^40 + 20 * q^41 - 52 * q^42 + 2 * q^43 + 226 * q^44 - 23 * q^45 + 71 * q^46 + 24 * q^47 + 86 * q^48 + 25 * q^49 + 114 * q^50 - 54 * q^51 + 31 * q^52 + 36 * q^53 + 75 * q^54 + 38 * q^55 + 126 * q^56 + 27 * q^57 - 33 * q^58 + q^59 - 179 * q^60 - 15 * q^61 + 158 * q^62 - 5 * q^63 - 24 * q^64 + q^65 - 150 * q^66 - 151 * q^67 + 140 * q^68 - 98 * q^69 - 126 * q^70 - 31 * q^71 - 149 * q^72 - 9 * q^73 + 39 * q^74 + 85 * q^75 - 81 * q^76 + 46 * q^77 - 25 * q^78 - 69 * q^79 - 64 * q^80 + 71 * q^81 - 52 * q^82 - q^83 - 47 * q^84 + 62 * q^85 + 97 * q^86 + 150 * q^87 - 12 * q^88 + 23 * q^89 + 107 * q^90 - q^91 - 43 * q^92 + 316 * q^93 - 86 * q^94 - 29 * q^95 + 177 * q^96 + 114 * q^97 - 336 * q^98 + 102 * q^99

Introduction

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