LMFDB - Embedded newform 309.2.k.a.197.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [309,2,Mod(80,309)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(309, base_ring=CyclotomicField(34))

chi = DirichletCharacter(H, H._module([17, 25]))

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

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

chi := DirichletCharacter("309.80");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 309 = 3 \cdot 103 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	309.k (of order $34$, degree $16$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.46737742246$
Analytic rank:	$0$
Dimension:	$512$
Relative dimension:	$32$ over $\Q(\zeta_{34})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{34}]$

Embedding invariants

Embedding label			197.19
Character	$\chi$	$=$	309.197
Dual form			309.2.k.a.80.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.339807 + 0.169204i) q^{2} +(0.161612 + 1.72449i) q^{3} +(-1.11843 - 1.48104i) q^{4} +(1.86326 - 1.69858i) q^{5} +(-0.236874 + 0.613340i) q^{6} +(1.76047 + 0.329088i) q^{7} +(-0.268956 - 1.43879i) q^{8} +(-2.94776 + 0.557399i) q^{9} +O(q^{10})$	\(q+(0.339807 + 0.169204i) q^{2} +(0.161612 + 1.72449i) q^{3} +(-1.11843 - 1.48104i) q^{4} +(1.86326 - 1.69858i) q^{5} +(-0.236874 + 0.613340i) q^{6} +(1.76047 + 0.329088i) q^{7} +(-0.268956 - 1.43879i) q^{8} +(-2.94776 + 0.557399i) q^{9} +(0.920554 - 0.261920i) q^{10} +(1.47203 - 2.95623i) q^{11} +(2.37330 - 2.16808i) q^{12} +(5.74661 + 1.07423i) q^{13} +(0.542536 + 0.409704i) q^{14} +(3.23032 + 2.93866i) q^{15} +(-0.863728 + 3.03569i) q^{16} +(-2.31139 - 0.214181i) q^{17} +(-1.09598 - 0.309364i) q^{18} +(0.466922 + 0.289106i) q^{19} +(-4.59959 - 0.859813i) q^{20} +(-0.282998 + 3.08910i) q^{21} +(1.00041 - 0.755473i) q^{22} +(-1.65750 + 0.825338i) q^{23} +(2.43772 - 0.696340i) q^{24} +(0.125200 - 1.35112i) q^{25} +(1.77097 + 1.33738i) q^{26} +(-1.43763 - 4.99332i) q^{27} +(-1.48157 - 2.97539i) q^{28} +(6.25004 + 6.85596i) q^{29} +(0.600453 + 1.54516i) q^{30} +(-5.69587 - 1.62062i) q^{31} +(-2.77934 + 3.04879i) q^{32} +(5.33589 + 2.06074i) q^{33} +(-0.749184 - 0.463875i) q^{34} +(3.83918 - 2.37712i) q^{35} +(4.12240 + 3.74235i) q^{36} +(1.27659 - 3.29526i) q^{37} +(0.109745 + 0.177245i) q^{38} +(-0.923776 + 10.0836i) q^{39} +(-2.94504 - 2.22399i) q^{40} +(3.74280 - 4.10565i) q^{41} +(-0.618852 + 1.00181i) q^{42} +(0.764844 + 1.97429i) q^{43} +(-6.02465 + 1.12620i) q^{44} +(-4.54565 + 6.04560i) q^{45} -0.702881 q^{46} -11.7834 q^{47} +(-5.37462 - 0.998889i) q^{48} +(-3.53636 - 1.36999i) q^{49} +(0.271158 - 0.437935i) q^{50} +(-0.00419369 - 4.02059i) q^{51} +(-4.83621 - 9.71241i) q^{52} +(-5.53888 - 3.42953i) q^{53} +(0.356373 - 1.94002i) q^{54} +(-2.27863 - 8.00856i) q^{55} -2.62145i q^{56} +(-0.423101 + 0.851928i) q^{57} +(0.963751 + 3.38723i) q^{58} +(2.32349 + 12.4296i) q^{59} +(0.739392 - 8.07093i) q^{60} +(-0.176496 + 1.90469i) q^{61} +(-1.66128 - 1.51446i) q^{62} +(-5.37287 + 0.0112084i) q^{63} +(4.42578 - 1.71456i) q^{64} +(12.5321 - 7.75953i) q^{65} +(1.46449 + 1.60311i) q^{66} +(-2.15489 - 11.5276i) q^{67} +(2.26791 + 3.66280i) q^{68} +(-1.69116 - 2.72497i) q^{69} +(1.70680 - 0.158158i) q^{70} +(-4.33671 - 3.95343i) q^{71} +(1.59480 + 4.09130i) q^{72} +(-0.738037 + 0.809588i) q^{73} +(0.991366 - 0.903749i) q^{74} +(2.35023 - 0.00245142i) q^{75} +(-0.0940421 - 1.01488i) q^{76} +(3.56431 - 4.71991i) q^{77} +(-2.02009 + 3.27017i) q^{78} +(-8.24146 + 7.51308i) q^{79} +(3.54702 + 7.12338i) q^{80} +(8.37861 - 3.28616i) q^{81} +(1.96652 - 0.761833i) q^{82} +(-2.33241 + 12.4773i) q^{83} +(4.89160 - 3.03581i) q^{84} +(-4.67051 + 3.52700i) q^{85} +(-0.0741579 + 0.800291i) q^{86} +(-10.8130 + 11.8862i) q^{87} +(-4.64930 - 1.32284i) q^{88} +(-2.21739 + 2.93629i) q^{89} +(-2.56758 + 1.28519i) q^{90} +(9.76319 + 3.78228i) q^{91} +(3.07616 + 1.53175i) q^{92} +(1.87422 - 10.0844i) q^{93} +(-4.00409 - 1.99380i) q^{94} +(1.36107 - 0.254427i) q^{95} +(-5.70681 - 4.30024i) q^{96} +(-1.17316 - 12.6604i) q^{97} +(-0.969872 - 1.06390i) q^{98} +(-2.69138 + 9.53476i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 512 q - 17 q^{3} - 2 q^{4} - 17 q^{6} - 18 q^{7} - 13 q^{9}+O(q^{10}) $ 512 * q - 17 * q^3 - 2 * q^4 - 17 * q^6 - 18 * q^7 - 13 * q^9	$ 512 q - 17 q^{3} - 2 q^{4} - 17 q^{6} - 18 q^{7} - 13 q^{9} + 34 q^{10} - 17 q^{12} - 38 q^{13} - 23 q^{15} - 50 q^{16} + 5 q^{18} - 22 q^{19} - 51 q^{21} - 34 q^{22} - 17 q^{24} + 6 q^{25} - 17 q^{27} - 152 q^{28} - 21 q^{30} - 34 q^{31} - 11 q^{33} - 128 q^{34} + 149 q^{36} + 68 q^{37} + 119 q^{39} - 34 q^{40} - 17 q^{42} - 34 q^{43} - 17 q^{45} - 96 q^{46} - 187 q^{48} - 34 q^{49} - 17 q^{51} + 2 q^{52} - 17 q^{54} - 80 q^{55} - 14 q^{58} - 172 q^{60} - 38 q^{61} - 61 q^{63} + 56 q^{64} + 101 q^{66} - 136 q^{67} + 119 q^{69} - 34 q^{70} - 101 q^{72} - 136 q^{73} - 255 q^{75} - 114 q^{76} - 17 q^{78} - 54 q^{79} - 5 q^{81} - 66 q^{82} - 17 q^{84} - 17 q^{87} - 17 q^{90} + 244 q^{91} + 35 q^{93} - 34 q^{94} - 17 q^{96} + 236 q^{97} - 17 q^{99}+O(q^{100}) $ 512 * q - 17 * q^3 - 2 * q^4 - 17 * q^6 - 18 * q^7 - 13 * q^9 + 34 * q^10 - 17 * q^12 - 38 * q^13 - 23 * q^15 - 50 * q^16 + 5 * q^18 - 22 * q^19 - 51 * q^21 - 34 * q^22 - 17 * q^24 + 6 * q^25 - 17 * q^27 - 152 * q^28 - 21 * q^30 - 34 * q^31 - 11 * q^33 - 128 * q^34 + 149 * q^36 + 68 * q^37 + 119 * q^39 - 34 * q^40 - 17 * q^42 - 34 * q^43 - 17 * q^45 - 96 * q^46 - 187 * q^48 - 34 * q^49 - 17 * q^51 + 2 * q^52 - 17 * q^54 - 80 * q^55 - 14 * q^58 - 172 * q^60 - 38 * q^61 - 61 * q^63 + 56 * q^64 + 101 * q^66 - 136 * q^67 + 119 * q^69 - 34 * q^70 - 101 * q^72 - 136 * q^73 - 255 * q^75 - 114 * q^76 - 17 * q^78 - 54 * q^79 - 5 * q^81 - 66 * q^82 - 17 * q^84 - 17 * q^87 - 17 * q^90 + 244 * q^91 + 35 * q^93 - 34 * q^94 - 17 * q^96 + 236 * q^97 - 17 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/309\mathbb{Z}\right)^\times$.

$n$	$104$	$211$
$\chi(n)$	$-1$	$e\left(\frac{9}{34}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.339807	+	0.169204i	0.240280	+	0.119645i	0.561846	−	0.827242i	$-0.310092\pi$
$2$	0.339807	+	0.169204i	0.240280	+	0.119645i	−0.321566	+	0.946887i	$0.604209\pi$
$3$	0.161612	+	1.72449i	0.0933069	+	0.995637i
$3$	0.161612	+	1.72449i	0.0933069	+	0.995637i
$4$	−1.11843	−	1.48104i	−0.559215	−	0.740521i
$5$	1.86326	−	1.69858i	0.833274	−	0.759629i	−0.139786	−	0.990182i	$-0.544642\pi$
$5$	1.86326	−	1.69858i	0.833274	−	0.759629i	0.973060	+	0.230552i	$0.0740533\pi$
$6$	−0.236874	+	0.613340i	−0.0967034	+	0.250395i
$7$	1.76047	+	0.329088i	0.665394	+	0.124384i	0.505602	−	0.862767i	$-0.331271\pi$
$7$	1.76047	+	0.329088i	0.665394	+	0.124384i	0.159792	+	0.987151i	$0.448918\pi$
$8$	−0.268956	−	1.43879i	−0.0950905	−	0.508689i
$9$	−2.94776	+	0.557399i	−0.982588	+	0.185800i
$10$	0.920554	−	0.261920i	0.291105	−	0.0828264i
$11$	1.47203	−	2.95623i	0.443832	−	0.891335i	−0.554420	−	0.832237i	$-0.687060\pi$
$11$	1.47203	−	2.95623i	0.443832	−	0.891335i	0.998252	−	0.0590983i	$-0.0188226\pi$
$12$	2.37330	−	2.16808i	0.685111	−	0.625871i
$13$	5.74661	+	1.07423i	1.59382	+	0.297937i	0.904485	−	0.426504i	$-0.140255\pi$
$13$	5.74661	+	1.07423i	1.59382	+	0.297937i	0.689336	+	0.724441i	$0.257902\pi$
$14$	0.542536	+	0.409704i	0.144999	+	0.109498i
$15$	3.23032	+	2.93866i	0.834066	+	0.758760i
$16$	−0.863728	+	3.03569i	−0.215932	+	0.758922i
$17$	−2.31139	−	0.214181i	−0.560593	−	0.0519466i	−0.191759	−	0.981442i	$-0.561419\pi$
$17$	−2.31139	−	0.214181i	−0.560593	−	0.0519466i	−0.368834	+	0.929495i	$0.620243\pi$
$18$	−1.09598	−	0.309364i	−0.258326	−	0.0729179i
$19$	0.466922	+	0.289106i	0.107119	+	0.0663254i	0.578946	−	0.815366i	$-0.303464\pi$
$19$	0.466922	+	0.289106i	0.107119	+	0.0663254i	−0.471827	+	0.881691i	$0.656405\pi$
$20$	−4.59959	−	0.859813i	−1.02850	−	0.192260i
$21$	−0.282998	+	3.08910i	−0.0617552	+	0.674097i
$22$	1.00041	−	0.755473i	0.213288	−	0.161067i
$23$	−1.65750	+	0.825338i	−0.345613	+	0.172095i	−0.610161	−	0.792278i	$-0.708895\pi$
$23$	−1.65750	+	0.825338i	−0.345613	+	0.172095i	0.264548	+	0.964373i	$0.414777\pi$
$24$	2.43772	−	0.696340i	0.497597	−	0.142140i
$25$	0.125200	−	1.35112i	0.0250399	−	0.270224i
$26$	1.77097	+	1.33738i	0.347316	+	0.262281i
$27$	−1.43763	−	4.99332i	−0.276671	−	0.960965i
$28$	−1.48157	−	2.97539i	−0.279990	−	0.562295i
$29$	6.25004	+	6.85596i	1.16060	+	1.27312i	0.955701	+	0.294338i	$0.0950991\pi$
$29$	6.25004	+	6.85596i	1.16060	+	1.27312i	0.204901	+	0.978783i	$0.434313\pi$
$30$	0.600453	+	1.54516i	0.109627	+	0.282106i
$31$	−5.69587	−	1.62062i	−1.02301	−	0.291071i	−0.279748	−	0.960073i	$-0.590251\pi$
$31$	−5.69587	−	1.62062i	−1.02301	−	0.291071i	−0.743260	+	0.669002i	$0.766722\pi$
$32$	−2.77934	+	3.04879i	−0.491323	+	0.538956i
$33$	5.33589	+	2.06074i	0.928860	+	0.358728i
$34$	−0.749184	−	0.463875i	−0.128484	−	0.0795539i
$35$	3.83918	−	2.37712i	0.648941	−	0.401807i
$36$	4.12240	+	3.74235i	0.687067	+	0.623724i
$37$	1.27659	−	3.29526i	0.209870	−	0.541738i	−0.787328	−	0.616534i	$-0.788536\pi$
$37$	1.27659	−	3.29526i	0.209870	−	0.541738i	0.997199	+	0.0747957i	$0.0238305\pi$
$38$	0.109745	+	0.177245i	0.0178031	+	0.0287529i
$39$	−0.923776	+	10.0836i	−0.147923	+	1.61467i
$40$	−2.94504	−	2.22399i	−0.465651	−	0.351644i
$41$	3.74280	−	4.10565i	0.584526	−	0.641195i	−0.373583	−	0.927597i	$-0.621871\pi$
$41$	3.74280	−	4.10565i	0.584526	−	0.641195i	0.958110	+	0.286402i	$0.0924592\pi$
$42$	−0.618852	+	1.00181i	−0.0954909	+	0.154583i
$43$	0.764844	+	1.97429i	0.116638	+	0.301076i	0.978559	−	0.205965i	$-0.0660333\pi$
$43$	0.764844	+	1.97429i	0.116638	+	0.301076i	−0.861922	+	0.507041i	$0.830739\pi$
$44$	−6.02465	+	1.12620i	−0.908250	+	0.169781i
$45$	−4.54565	+	6.04560i	−0.677625	+	0.901224i
$46$	−0.702881			−0.103634
$47$	−11.7834			−1.71879			−0.859394	−	0.511313i	$-0.829159\pi$
$47$	−11.7834			−1.71879			−0.859394	+	0.511313i	$0.829159\pi$
$48$	−5.37462	−	0.998889i	−0.775759	−	0.144177i
$49$	−3.53636	−	1.36999i	−0.505195	−	0.195713i
$50$	0.271158	−	0.437935i	0.0383476	−	0.0619334i
$51$	−0.00419369	−	4.02059i	−0.000587235	−	0.562995i
$52$	−4.83621	−	9.71241i	−0.670661	−	1.34687i
$53$	−5.53888	−	3.42953i	−0.760824	−	0.471082i	0.0903866	−	0.995907i	$-0.471190\pi$
$53$	−5.53888	−	3.42953i	−0.760824	−	0.471082i	−0.851210	+	0.524825i	$0.824131\pi$
$54$	0.356373	−	1.94002i	0.0484962	−	0.264003i
$55$	−2.27863	−	8.00856i	−0.307251	−	1.07987i
$56$		−	2.62145i		−	0.350306i
$57$	−0.423101	+	0.851928i	−0.0560411	+	0.112841i
$58$	0.963751	+	3.38723i	0.126547	+	0.444765i
$59$	2.32349	+	12.4296i	0.302493	+	1.61820i	0.709455	+	0.704750i	$0.248941\pi$
$59$	2.32349	+	12.4296i	0.302493	+	1.61820i	−0.406962	+	0.913445i	$0.633412\pi$
$60$	0.739392	−	8.07093i	0.0954551	−	1.04195i
$61$	−0.176496	+	1.90469i	−0.0225979	+	0.243871i	0.976941	+	0.213509i	$0.0684893\pi$
$61$	−0.176496	+	1.90469i	−0.0225979	+	0.243871i	−0.999539	+	0.0303614i	$0.990334\pi$
$62$	−1.66128	−	1.51446i	−0.210983	−	0.192336i
$63$	−5.37287	+	0.0112084i	−0.676918	+	0.00141213i
$64$	4.42578	−	1.71456i	0.553223	−	0.214320i
$65$	12.5321	−	7.75953i	1.55441	−	0.962451i
$66$	1.46449	+	1.60311i	0.180266	+	0.197329i
$67$	−2.15489	−	11.5276i	−0.263261	−	1.40832i	−0.817482	−	0.575954i	$-0.804631\pi$
$67$	−2.15489	−	11.5276i	−0.263261	−	1.40832i	0.554220	−	0.832370i	$-0.313017\pi$
$68$	2.26791	+	3.66280i	0.275025	+	0.444180i
$69$	−1.69116	−	2.72497i	−0.203592	−	0.328048i
$70$	1.70680	−	0.158158i	0.204001	−	0.0189035i
$71$	−4.33671	−	3.95343i	−0.514673	−	0.469186i	0.374195	−	0.927350i	$-0.377919\pi$
$71$	−4.33671	−	3.95343i	−0.514673	−	0.469186i	−0.888868	+	0.458164i	$0.848507\pi$
$72$	1.59480	+	4.09130i	0.187949	+	0.482164i
$73$	−0.738037	+	0.809588i	−0.0863807	+	0.0947551i	−0.780679	−	0.624932i	$-0.785127\pi$
$73$	−0.738037	+	0.809588i	−0.0863807	+	0.0947551i	0.694298	+	0.719687i	$0.255715\pi$
$74$	0.991366	−	0.903749i	0.115244	−	0.105059i
$75$	2.35023	−	0.00245142i	0.271381	−	0.000283066i
$76$	−0.0940421	−	1.01488i	−0.0107874	−	0.116414i
$77$	3.56431	−	4.71991i	0.406191	−	0.537884i
$78$	−2.02009	+	3.27017i	−0.228730	+	0.370274i
$79$	−8.24146	+	7.51308i	−0.927237	+	0.845288i	−0.988250	−	0.152849i	$-0.951155\pi$
$79$	−8.24146	+	7.51308i	−0.927237	+	0.845288i	0.0610127	+	0.998137i	$0.480567\pi$
$80$	3.54702	+	7.12338i	0.396569	+	0.796418i
$81$	8.37861	−	3.28616i	0.930957	−	0.365129i
$82$	1.96652	−	0.761833i	0.217166	−	0.0841304i
$83$	−2.33241	+	12.4773i	−0.256015	+	1.36956i	0.577196	+	0.816606i	$0.304147\pi$
$83$	−2.33241	+	12.4773i	−0.256015	+	1.36956i	−0.833211	+	0.552955i	$0.813500\pi$
$84$	4.89160	−	3.03581i	0.533717	−	0.331234i
$85$	−4.67051	+	3.52700i	−0.506588	+	0.382557i
$86$	−0.0741579	+	0.800291i	−0.00799665	+	0.0862976i
$87$	−10.8130	+	11.8862i	−1.15927	+	1.27433i
$88$	−4.64930	−	1.32284i	−0.495617	−	0.141015i
$89$	−2.21739	+	2.93629i	−0.235042	+	0.311246i	−0.900217	−	0.435441i	$-0.856592\pi$
$89$	−2.21739	+	2.93629i	−0.235042	+	0.311246i	0.665175	+	0.746688i	$0.268357\pi$
$90$	−2.56758	+	1.28519i	−0.270647	+	0.135471i
$91$	9.76319	+	3.78228i	1.02346	+	0.396491i
$92$	3.07616	+	1.53175i	0.320712	+	0.159696i
$93$	1.87422	−	10.0844i	0.194347	−	1.04570i
$94$	−4.00409	−	1.99380i	−0.412990	−	0.205645i
$95$	1.36107	−	0.254427i	0.139642	−	0.0261037i
$96$	−5.70681	−	4.30024i	−0.582448	−	0.438891i
$97$	−1.17316	−	12.6604i	−0.119116	−	1.28547i	−0.820071	−	0.572262i	$-0.806066\pi$
$97$	−1.17316	−	12.6604i	−0.119116	−	1.28547i	0.700954	−	0.713206i	$-0.252758\pi$
$98$	−0.969872	−	1.06390i	−0.0979719	−	0.107470i
$99$	−2.69138	+	9.53476i	−0.270494	+	0.958279i
$100$	−2.14109	+	1.32571i	−0.214109	+	0.132571i
$101$	−5.91848	+	11.8859i	−0.588911	+	1.18269i	0.377577	+	0.925978i	$0.376757\pi$
$101$	−5.91848	+	11.8859i	−0.588911	+	1.18269i	−0.966487	+	0.256714i	$0.917360\pi$
$102$	0.678873	−	1.36693i	0.0672184	−	0.135346i
$103$	−8.78310	+	5.08499i	−0.865425	+	0.501039i
$103$	−8.78310	+	5.08499i	−0.865425	+	0.501039i
$104$		−	8.55708i		−	0.839091i
$105$	4.71979	+	6.23648i	0.460605	+	0.608618i
$106$	−1.30186	−	2.10258i	−0.126448	−	0.204220i
$107$	3.69987	−	2.79401i	0.357680	−	0.270107i	−0.408467	−	0.912773i	$-0.633936\pi$
$107$	3.69987	−	2.79401i	0.357680	−	0.270107i	0.766146	+	0.642666i	$0.222172\pi$
$108$	−5.78743	+	7.71386i	−0.556895	+	0.742267i
$109$	16.8404	−	1.56049i	1.61302	−	0.149468i	0.752396	−	0.658711i	$-0.228898\pi$
$109$	16.8404	−	1.56049i	1.61302	−	0.149468i	0.860623	+	0.509243i	$0.170074\pi$
$110$	0.580783	−	3.10692i	0.0553755	−	0.296233i
$111$	5.88898	+	1.66892i	0.558957	+	0.158407i
$112$	−2.51957	+	5.05998i	−0.238077	+	0.478124i
$113$	0.537604	+	1.88948i	0.0505735	+	0.177747i	0.982998	−	0.183618i	$-0.0587811\pi$
$113$	0.537604	+	1.88948i	0.0505735	+	0.177747i	−0.932424	+	0.361366i	$0.882311\pi$
$114$	−0.287922	+	0.217900i	−0.0269664	+	0.0204083i
$115$	−1.68645	+	4.35322i	−0.157262	+	0.405940i
$116$	3.16373	−	16.9245i	0.293745	−	1.57140i
$117$	−17.5384	+	0.0365871i	−1.62143	+	0.00338248i
$118$	−1.31359	+	4.61680i	−0.120926	+	0.425011i
$119$	−3.99863	−	1.13771i	−0.366554	−	0.104294i
$120$	3.35930	−	5.43813i	0.306661	−	0.496431i
$121$	0.0565714	+	0.0749126i	0.00514285	+	0.00681024i
$122$	−0.382255	+	0.617363i	−0.0346077	+	0.0558934i
$123$	7.68505	+	5.79091i	0.692938	+	0.522148i
$124$	3.97024	+	10.2484i	0.356538	+	0.920331i
$125$	5.53538	+	7.33002i	0.495099	+	0.655617i
$126$	−1.82763	−	0.905301i	−0.162819	−	0.0806506i
$127$	14.1131	+	15.4813i	1.25234	+	1.37375i	0.898820	+	0.438318i	$0.144425\pi$
$127$	14.1131	+	15.4813i	1.25234	+	1.37375i	0.353515	+	0.935429i	$0.384986\pi$
$128$	10.0099	+	0.927550i	0.884755	+	0.0819846i
$129$	−3.28104	+	1.63804i	−0.288880	+	0.144221i
$130$	5.57142	−	0.516268i	0.488646	−	0.0452797i
$131$	1.65870	−	0.825936i	0.144922	−	0.0721624i	−0.371815	−	0.928307i	$-0.621264\pi$
$131$	1.65870	−	0.825936i	0.144922	−	0.0721624i	0.516736	+	0.856145i	$0.327147\pi$
$132$	−2.91579	−	10.2075i	−0.253787	−	0.888446i
$133$	0.726859	+	0.662620i	0.0630267	+	0.0574564i
$134$	1.21827	−	4.28178i	0.105243	−	0.369890i
$135$	−11.1602	−	6.86191i	−0.960520	−	0.590579i
$136$	0.313500	+	3.38320i	0.0268824	+	0.290107i
$137$	−6.89901	+	11.1423i	−0.589422	+	0.951949i	0.409787	+	0.912181i	$0.365603\pi$
$137$	−6.89901	+	11.1423i	−0.589422	+	0.951949i	−0.999209	+	0.0397680i	$0.987338\pi$
$138$	−0.113594	−	1.21211i	−0.00966978	−	0.103182i
$139$	−1.83665	+	0.343329i	−0.155783	+	0.0291208i	−0.261063	−	0.965322i	$-0.584073\pi$
$139$	−1.83665	+	0.343329i	−0.155783	+	0.0291208i	0.105280	+	0.994443i	$0.466426\pi$
$140$	−7.81448	−	3.02734i	−0.660444	−	0.255857i
$141$	−1.90435	−	20.3204i	−0.160375	−	1.71129i
$142$	−0.804708	−	2.07719i	−0.0675296	−	0.174314i
$143$	11.6348	−	15.4070i	0.972951	−	1.28840i
$144$	0.853975	−	9.42993i	0.0711646	−	0.785828i
$145$	23.2908	+	2.15821i	1.93420	+	0.179230i
$146$	−0.387775	+	0.150225i	−0.0320925	+	0.0124327i
$147$	1.79103	−	6.31985i	0.147721	−	0.521252i
$148$	−6.30820	+	1.79484i	−0.518531	+	0.147535i
$149$		−	7.49281i		−	0.613835i	−0.951736	−	0.306918i	$-0.900702\pi$
$149$		−	7.49281i		−	0.613835i	0.951736	−	0.306918i	$-0.0992976\pi$
$150$	0.799040	+	0.396835i	0.0652413	+	0.0324014i
$151$	−2.90928	+	0.827762i	−0.236754	+	0.0673624i	−0.389959	−	0.920832i	$-0.627511\pi$
$151$	−2.90928	+	0.827762i	−0.236754	+	0.0673624i	0.153205	+	0.988194i	$0.451040\pi$
$152$	0.290381	−	0.749560i	0.0235530	−	0.0607973i
$153$	6.93280	−	0.657008i	0.560484	−	0.0531160i
$154$	2.00980	−	1.00076i	0.161955	−	0.0806438i
$155$	−13.3656	+	6.65529i	−1.07355	+	0.534566i
$156$	15.9674	−	9.90965i	1.27842	−	0.793407i
$157$	0.0374707	−	0.0967229i	0.00299048	−	0.00771933i	−0.930969	−	0.365098i	$-0.881035\pi$
$157$	0.0374707	−	0.0967229i	0.00299048	−	0.00771933i	0.933959	+	0.357379i	$0.116330\pi$
$158$	−4.07175	+	1.15851i	−0.323931	+	0.0921662i
$159$	5.01905	−	10.1060i	0.398037	−	0.801460i
$160$			10.4016i			0.822321i
$161$	−3.18958	+	0.907515i	−0.251375	+	0.0715222i
$162$	3.40314	+	0.301032i	0.267376	+	0.0236513i
$163$	2.06863	−	0.801392i	0.162028	−	0.0627698i	−0.278862	−	0.960331i	$-0.589957\pi$
$163$	2.06863	−	0.801392i	0.162028	−	0.0627698i	0.440890	+	0.897561i	$0.354663\pi$
$164$	−10.2667	−	0.951349i	−0.801694	−	0.0742879i
$165$	13.4425	−	5.22377i	1.04649	−	0.406670i
$166$	−2.90377	+	3.84522i	−0.225376	+	0.298447i
$167$	−2.00205	−	5.16788i	−0.154923	−	0.399902i	0.833321	−	0.552790i	$-0.186437\pi$
$167$	−2.00205	−	5.16788i	−0.154923	−	0.399902i	−0.988244	+	0.152888i	$0.951143\pi$
$168$	4.52068	−	0.423659i	0.348778	−	0.0326860i
$169$	19.7474	+	7.65018i	1.51903	+	0.588475i
$170$	−2.18385	+	0.408233i	−0.167494	+	0.0313100i
$171$	−1.53752	−	0.591954i	−0.117577	−	0.0452678i
$172$	2.06858	−	3.34087i	0.157728	−	0.254739i
$173$	−1.46341	−	15.7927i	−0.111261	−	1.20070i	−0.850028	−	0.526738i	$-0.823415\pi$
$173$	−1.46341	−	15.7927i	−0.111261	−	1.20070i	0.738767	−	0.673961i	$-0.235408\pi$
$174$	−5.68551	+	2.20940i	−0.431017	+	0.167494i
$175$	0.665047	−	2.33740i	0.0502729	−	0.176691i
$176$	7.70275	+	7.02198i	0.580617	+	0.529302i
$177$	−21.0593	+	6.01563i	−1.58291	+	0.452162i
$178$	−1.25031	+	0.622583i	−0.0937150	+	0.0466645i
$179$	−0.622490	+	0.0576822i	−0.0465271	+	0.00431137i	−0.115507	−	0.993307i	$-0.536849\pi$
$179$	−0.622490	+	0.0576822i	−0.0465271	+	0.00431137i	0.0689796	+	0.997618i	$0.478026\pi$
$180$	14.0378	−	0.0292844i	1.04631	−	0.00218273i
$181$	5.80550	+	0.537959i	0.431520	+	0.0399862i	0.305836	−	0.952084i	$-0.401064\pi$
$181$	5.80550	+	0.537959i	0.431520	+	0.0399862i	0.125684	+	0.992070i	$0.459888\pi$
$182$	2.67762	+	2.93721i	0.198479	+	0.217721i
$183$	−3.31315	+	0.00345580i	−0.244915	+	0.000255460i
$184$	1.63328	+	2.16282i	0.120407	+	0.159445i
$185$	−3.21866	−	8.30832i	−0.236641	−	0.610840i
$186$	2.34319	−	3.10963i	0.171811	−	0.228009i
$187$	−4.03559	+	6.51769i	−0.295111	+	0.476621i
$188$	13.1789	+	17.4517i	0.961173	+	1.27280i
$189$	−0.887651	−	9.26368i	−0.0645671	−	0.673833i
$190$	0.505549	+	0.143841i	0.0366764	+	0.0104353i
$191$	1.27928	−	4.49620i	0.0925654	−	0.325334i	−0.901688	−	0.432388i	$-0.857671\pi$
$191$	1.27928	−	4.49620i	0.0925654	−	0.325334i	0.994253	+	0.107054i	$0.0341418\pi$
$192$	3.67200	+	7.35514i	0.265004	+	0.530812i
$193$	−0.627226	+	3.35536i	−0.0451487	+	0.241524i	−0.998101	−	0.0615955i	$-0.980381\pi$
$193$	−0.627226	+	3.35536i	−0.0451487	+	0.241524i	0.952952	+	0.303120i	$0.0980282\pi$
$194$	1.74354	−	4.50059i	0.125179	−	0.323124i
$195$	15.4066	+	20.3574i	1.10329	+	1.45783i
$196$	1.92616	+	6.76974i	0.137583	+	0.483553i
$197$	−8.70751	+	17.4870i	−0.620385	+	1.24590i	0.332653	+	0.943049i	$0.392056\pi$
$197$	−8.70751	+	17.4870i	−0.620385	+	1.24590i	−0.953038	+	0.302851i	$0.902062\pi$
$198$	−2.52787	+	2.78458i	−0.179648	+	0.197892i
$199$	2.65624	−	14.2097i	0.188296	−	1.00730i	−0.749994	−	0.661445i	$-0.769943\pi$
$199$	2.65624	−	14.2097i	0.188296	−	1.00730i	0.938290	−	0.345850i	$-0.112410\pi$
$200$	−1.97765	+	0.183256i	−0.139841	+	0.0129582i
$201$	19.5311	−	5.57910i	1.37762	−	0.393519i
$202$	−4.02228	+	3.03748i	−0.283007	+	0.213717i
$203$	8.74676	+	14.1265i	0.613902	+	0.991486i
$204$	−5.94996	+	4.50296i	−0.416581	+	0.315270i
$205$		−	14.0073i		−	0.978314i
$206$	−3.84496	+	0.241780i	−0.267891	+	0.0168456i
$207$	4.42588	−	3.35679i	0.307620	−	0.233313i
$208$	−8.22452	+	16.5171i	−0.570268	+	1.14525i
$209$	1.54198	−	0.954756i	0.106661	−	0.0660418i
$210$	0.548583	+	2.91780i	0.0378558	+	0.201348i
$211$	−15.0339	−	16.4914i	−1.03498	−	1.13532i	−0.990668	−	0.136298i	$-0.956480\pi$
$211$	−15.0339	−	16.4914i	−1.03498	−	1.13532i	−0.0443092	−	0.999018i	$-0.514109\pi$
$212$	1.11558	+	12.0390i	0.0766182	+	0.826842i
$213$	6.11681	−	8.11756i	0.419117	−	0.556206i
$214$	1.73000	−	0.323392i	0.118260	−	0.0221067i
$215$	4.77859	+	2.37946i	0.325897	+	0.162278i
$216$	−6.79768	+	3.41143i	−0.462523	+	0.232118i
$217$	−9.49407	−	4.72748i	−0.644499	−	0.320922i
$218$	5.98653	+	2.31919i	0.405459	+	0.157076i
$219$	−1.51541	−	1.14190i	−0.102402	−	0.0771626i
$220$	−9.31252	+	12.3318i	−0.627850	+	0.831408i
$221$	−13.0525	−	3.71377i	−0.878009	−	0.249815i
$222$	1.71873	+	1.56355i	0.115353	+	0.104938i
$223$	−0.969050	+	10.4577i	−0.0648924	+	0.700300i	0.899692	+	0.436526i	$0.143791\pi$
$223$	−0.969050	+	10.4577i	−0.0648924	+	0.700300i	−0.964584	+	0.263775i	$0.915032\pi$
$224$	−5.89626	+	4.45265i	−0.393961	+	0.297505i
$225$	0.384054	+	4.05257i	0.0256036	+	0.270171i
$226$	−0.137026	+	0.733023i	−0.00911482	+	0.0487600i
$227$	11.2351	−	4.35251i	0.745702	−	0.288886i	0.0417442	−	0.999128i	$-0.486709\pi$
$227$	11.2351	−	4.35251i	0.745702	−	0.288886i	0.703958	+	0.710242i	$0.251414\pi$
$228$	1.73495	−	0.326191i	0.114900	−	0.0216026i
$229$	−5.50662	−	11.0588i	−0.363888	−	0.730785i	0.635250	−	0.772307i	$-0.280897\pi$
$229$	−5.50662	−	11.0588i	−0.363888	−	0.730785i	−0.999138	+	0.0415219i	$0.986779\pi$
$230$	−1.30965	+	1.19390i	−0.0863555	+	0.0787235i
$231$	8.71549	+	5.38384i	0.573437	+	0.354231i
$232$	8.18330	−	10.8364i	0.537260	−	0.711447i
$233$	−2.01991	−	21.7983i	−0.132329	−	1.42805i	−0.760175	−	0.649718i	$-0.774887\pi$
$233$	−2.01991	−	21.7983i	−0.132329	−	1.42805i	0.627847	−	0.778337i	$-0.283937\pi$
$234$	−5.96586	−	2.95513i	−0.390000	−	0.193183i
$235$	−21.9555	+	20.0151i	−1.43222	+	1.30564i
$236$	15.8101	−	17.3428i	1.02915	−	1.12892i
$237$	−14.2882	−	12.9981i	−0.928118	−	0.844320i
$238$	−1.16626	−	1.06318i	−0.0755973	−	0.0689160i
$239$	16.5849	−	1.53681i	1.07279	−	0.0994083i	0.458657	−	0.888614i	$-0.348331\pi$
$239$	16.5849	−	1.53681i	1.07279	−	0.0994083i	0.614129	+	0.789205i	$0.289507\pi$
$240$	−11.7110	+	7.26804i	−0.755941	+	0.469150i
$241$	3.54012	+	5.71749i	0.228039	+	0.368296i	0.944055	−	0.329788i	$-0.106977\pi$
$241$	3.54012	+	5.71749i	0.228039	+	0.368296i	−0.716016	+	0.698084i	$0.754036\pi$
$242$	0.00654785	+	0.0350279i	0.000420912	+	0.00225168i
$243$	7.02105	+	13.9178i	0.450401	+	0.892826i
$244$	3.01832	−	1.86887i	0.193228	−	0.119642i
$245$	−8.91620	+	3.45415i	−0.569635	+	0.220678i
$246$	1.63159	+	3.26813i	0.104026	+	0.208368i
$247$	2.37265	+	2.16296i	0.150968	+	0.137626i
$248$	−0.799783	+	8.63104i	−0.0507863	+	0.548071i
$249$	−21.8940	−	2.00574i	−1.38747	−	0.127109i
$250$	0.640692	+	3.42740i	0.0405209	+	0.216768i
$251$	−1.20407	−	4.23188i	−0.0760004	−	0.267114i	0.914508	−	0.404569i	$-0.132578\pi$
$251$	−1.20407	−	4.23188i	−0.0760004	−	0.267114i	−0.990508	+	0.137455i	$0.956108\pi$
$252$	6.02578	+	7.94491i	0.379589	+	0.500482i
$253$			6.11487i			0.384438i
$254$	2.17623	+	7.64865i	0.136549	+	0.479919i
$255$	−6.83711	−	7.48426i	−0.428156	−	0.468682i
$256$	−4.82628	−	2.98830i	−0.301642	−	0.186769i
$257$	−12.8410	−	25.7881i	−0.800997	−	1.60862i	−0.793440	−	0.608648i	$-0.791712\pi$
$257$	−12.8410	−	25.7881i	−0.800997	−	1.60862i	−0.00755707	−	0.999971i	$-0.502406\pi$
$258$	−1.39208	+	0.00145202i	−0.0866673	+	9.03988e-5i
$259$	3.33183	−	5.38109i	0.207030	−	0.334365i
$260$	−25.5084	−	9.88202i	−1.58197	−	0.612857i
$261$	−22.2451	−	16.7260i	−1.37694	−	1.03531i
$262$	0.703390			0.0434556
$263$	−0.418935			−0.0258327			−0.0129163	−	0.999917i	$-0.504112\pi$
$263$	−0.418935			−0.0258327			−0.0129163	+	0.999917i	$0.504112\pi$
$264$	1.52985	−	8.23148i	0.0941555	−	0.506612i
$265$	−16.1457	+	3.01815i	−0.991822	+	0.185404i
$266$	0.134874	+	0.348150i	0.00826966	+	0.0213464i
$267$	−5.42198	−	3.34933i	−0.331820	−	0.204976i
$268$	−14.6628	+	16.0843i	−0.895674	+	0.982507i
$269$	13.8359	+	10.4484i	0.843588	+	0.637048i	0.933371	−	0.358913i	$-0.116853\pi$
$269$	13.8359	+	10.4484i	0.843588	+	0.637048i	−0.0897828	+	0.995961i	$0.528617\pi$
$270$	−2.63126	−	4.22007i	−0.160134	−	0.256826i
$271$	−1.65234	−	2.66863i	−0.100373	−	0.162107i	0.796158	−	0.605088i	$-0.206862\pi$
$271$	−1.65234	−	2.66863i	−0.100373	−	0.162107i	−0.896531	+	0.442981i	$0.853921\pi$
$272$	2.64660	−	6.83165i	0.160473	−	0.414230i
$273$	−4.94467	+	17.4478i	−0.299265	+	1.05599i
$274$	−4.22964	+	2.61889i	−0.255522	+	0.158213i
$275$	−3.80992	−	2.35900i	−0.229747	−	0.142253i
$276$	−2.14434	+	5.55237i	−0.129074	+	0.334213i
$277$	21.0294	−	23.0682i	1.26354	−	1.38603i	0.375133	−	0.926971i	$-0.377597\pi$
$277$	21.0294	−	23.0682i	1.26354	−	1.38603i	0.888404	−	0.459063i	$-0.151815\pi$
$278$	−0.682198	−	0.194102i	−0.0409155	−	0.0116415i
$279$	17.6934	+	1.60232i	1.05928	+	0.0959281i
$280$	−4.45275	−	4.88444i	−0.266103	−	0.291901i
$281$	10.6690	+	21.4263i	0.636462	+	1.27819i	0.945030	+	0.326985i	$0.106033\pi$
$281$	10.6690	+	21.4263i	0.636462	+	1.27819i	−0.308568	+	0.951202i	$0.599850\pi$
$282$	2.79118	−	7.22725i	0.166213	−	0.430376i
$283$	−19.7236	−	14.8946i	−1.17244	−	0.885389i	−0.177334	−	0.984151i	$-0.556747\pi$
$283$	−19.7236	−	14.8946i	−1.17244	−	0.885389i	−0.995111	+	0.0987615i	$0.968512\pi$
$284$	−1.00489	+	10.8445i	−0.0596293	+	0.643502i
$285$	0.658723	+	2.30603i	0.0390194	+	0.136598i
$286$	6.56050	−	3.26674i	0.387931	−	0.193167i
$287$	7.94019	−	5.99615i	0.468694	−	0.353942i
$288$	6.49345	−	10.5363i	0.382630	−	0.620859i
$289$	−11.4139	−	2.13363i	−0.671407	−	0.125508i
$290$	7.54921	+	4.67427i	0.443305	+	0.274483i
$291$	21.6432	−	4.06918i	1.26875	−	0.238540i
$292$	2.02448	+	0.187595i	0.118474	+	0.0109782i
$293$	−4.84446	+	17.0265i	−0.283016	+	0.994700i	0.681749	+	0.731587i	$0.261220\pi$
$293$	−4.84446	+	17.0265i	−0.283016	+	0.994700i	−0.964765	+	0.263113i	$0.915251\pi$
$294$	1.67794	−	1.84448i	0.0978597	−	0.107572i
$295$	25.4420	+	19.2129i	1.48129	+	1.11862i
$296$	−5.08454	−	0.950465i	−0.295533	−	0.0552447i
$297$	−16.8776	−	3.10034i	−0.979338	−	0.179900i
$298$	1.26781	−	2.54611i	0.0734423	−	0.147492i
$299$	−10.4116	+	2.96236i	−0.602119	+	0.171318i
$300$	−2.63220	−	3.47805i	−0.151970	−	0.200805i
$301$	0.696766	+	3.72737i	0.0401610	+	0.214842i
$302$	−1.12865	−	0.210982i	−0.0649468	−	0.0121407i
$303$	−21.4537	−	8.28547i	−1.23248	−	0.475988i
$304$	−1.28093	+	1.16772i	−0.0734663	+	0.0669734i
$305$	2.90642	+	3.84872i	0.166421	+	0.220377i
$306$	2.46698	+	0.949799i	0.141028	+	0.0542964i
$307$	4.08166	+	2.03243i	0.232953	+	0.115997i	0.558425	−	0.829555i	$-0.311406\pi$
$307$	4.08166	+	2.03243i	0.232953	+	0.115997i	−0.325473	+	0.945551i	$0.605523\pi$
$308$	−10.9768			−0.625462
$309$	−10.1885	−	14.3246i	−0.579603	−	0.814899i
$310$	−5.66783			−0.321911
$311$	3.77697	+	1.88071i	0.214172	+	0.106645i	0.549624	−	0.835412i	$-0.314771\pi$
$311$	3.77697	+	1.88071i	0.214172	+	0.106645i	−0.335451	+	0.942058i	$0.608889\pi$
$312$	14.7566	−	1.38293i	0.835430	−	0.0782930i
$313$	7.42933	+	9.83802i	0.419931	+	0.556078i	0.957980	−	0.286835i	$-0.0926033\pi$
$313$	7.42933	+	9.83802i	0.419931	+	0.556078i	−0.538049	+	0.842913i	$0.680839\pi$
$314$	0.0290987	−	0.0265269i	0.00164213	−	0.00149700i
$315$	−9.99200	+	9.14715i	−0.562985	+	0.515384i
$316$	20.3447	+	3.80308i	1.14448	+	0.213940i
$317$	−4.86714	−	26.0369i	−0.273366	−	1.46238i	−0.793645	−	0.608381i	$-0.791819\pi$
$317$	−4.86714	−	26.0369i	−0.273366	−	1.46238i	0.520279	−	0.853996i	$-0.325828\pi$
$318$	3.41548	−	2.58485i	0.191531	−	0.144951i
$319$	29.4680	−	8.38436i	1.64989	−	0.469434i
$320$	5.33405	−	10.7122i	0.298182	−	0.598831i
$321$	5.41620	+	5.92885i	0.302303	+	0.330916i
$322$	−1.23740	−	0.231310i	−0.0689575	−	0.0128904i
$323$	−1.01732	−	0.768241i	−0.0566049	−	0.0427461i
$324$	−14.2378	−	8.73373i	−0.790991	−	0.485207i
$325$	2.17088	−	7.62986i	0.120419	−	0.423229i
$326$	0.838533	+	0.0777015i	0.0464420	+	0.00430349i
$327$	5.41268	+	28.7890i	0.299322	+	1.59204i
$328$	−6.91382	−	4.28085i	−0.381752	−	0.236371i
$329$	−20.7443	−	3.87779i	−1.14367	−	0.213789i
$330$	5.45172	+	0.499442i	0.300108	+	0.0274934i
$331$	−9.93949	+	7.50595i	−0.546324	+	0.412565i	−0.839392	−	0.543527i	$-0.817089\pi$
$331$	−9.93949	+	7.50595i	−0.546324	+	0.412565i	0.293068	+	0.956092i	$0.405324\pi$
$332$	21.0880	−	10.5006i	1.15736	−	0.576294i
$333$	−1.92631	+	10.4252i	−0.105561	+	0.571299i
$334$	0.194115	−	2.09483i	0.0106215	−	0.114624i
$335$	−23.5957	−	17.8187i	−1.28917	−	0.973539i
$336$	−9.13311	−	3.52723i	−0.498252	−	0.192426i
$337$	−5.69341	−	11.4339i	−0.310140	−	0.622844i	0.684176	−	0.729317i	$-0.260162\pi$
$337$	−5.69341	−	11.4339i	−0.310140	−	0.622844i	−0.994316	+	0.106473i	$0.966044\pi$
$338$	5.41586	+	5.94091i	0.294584	+	0.323143i
$339$	−3.17152	+	1.23246i	−0.172253	+	0.0669380i
$340$	10.4473	+	2.97251i	0.566583	+	0.161207i
$341$	−13.1754	+	14.4527i	−0.713486	+	0.782657i
$342$	−0.422300	−	0.461304i	−0.0228354	−	0.0249445i
$343$	−16.4337	−	10.1753i	−0.887338	−	0.549417i
$344$	2.63488	−	1.63145i	0.142063	−	0.0879618i
$345$	−7.77965	−	2.20473i	−0.418843	−	0.118699i
$346$	2.17491	−	5.61409i	0.116924	−	0.301815i
$347$	5.82528	+	9.40815i	0.312717	+	0.505056i	0.968208	−	0.250148i	$-0.0804792\pi$
$347$	5.82528	+	9.40815i	0.312717	+	0.505056i	−0.655490	+	0.755204i	$0.727538\pi$
$348$	29.6975	+	2.72064i	1.59195	+	0.145841i
$349$	7.35152	+	5.55161i	0.393518	+	0.297171i	0.780789	−	0.624795i	$-0.214817\pi$
$349$	7.35152	+	5.55161i	0.393518	+	0.297171i	−0.387271	+	0.921966i	$0.626582\pi$
$350$	0.621484	−	0.681736i	0.0332197	−	0.0364403i
$351$	−2.89752	−	30.2390i	−0.154658	−	1.61404i
$352$	4.92166	+	12.7043i	0.262325	+	0.677140i
$353$	−0.0694071	+	0.0129744i	−0.00369417	+	0.000690560i	−0.185596	−	0.982626i	$-0.559422\pi$
$353$	−0.0694071	+	0.0129744i	−0.00369417	+	0.000690560i	0.181902	+	0.983317i	$0.441775\pi$
$354$	−8.17395	−	1.51915i	−0.434440	−	0.0807421i
$355$	−14.7956			−0.785271
$356$	6.82876			0.361924
$357$	1.31574	−	7.07949i	0.0696366	−	0.374686i
$358$	−0.221286	−	0.0857267i	−0.0116953	−	0.00453080i
$359$	−13.5916	+	21.9511i	−0.717335	+	1.15854i	0.263681	+	0.964610i	$0.415063\pi$
$359$	−13.5916	+	21.9511i	−0.717335	+	1.15854i	−0.981016	+	0.193926i	$0.937878\pi$
$360$	9.92093	+	4.91423i	0.522879	+	0.259003i
$361$	−8.33459	−	16.7381i	−0.438663	−	0.880954i
$362$	1.88172	+	1.16511i	0.0989012	+	0.0612371i
$363$	−0.120044	+	0.109664i	−0.00630066	+	0.00575586i
$364$	−5.31774	−	18.6899i	−0.278725	−	0.979617i
$365$			2.76209i			0.144574i
$366$	−1.12642	−	0.559423i	−0.0588787	−	0.0292415i
$367$	−3.98506	−	14.0060i	−0.208018	−	0.731109i	−0.993660	−	0.112427i	$-0.964138\pi$
$367$	−3.98506	−	14.0060i	−0.208018	−	0.731109i	0.785642	−	0.618682i	$-0.212333\pi$
$368$	−1.07384	−	5.74453i	−0.0559777	−	0.299454i
$369$	−8.74439	+	14.1887i	−0.455215	+	0.738635i
$370$	0.312076	−	3.36783i	0.0162240	−	0.175085i
$371$	−8.62240	−	7.86035i	−0.447652	−	0.408089i
$372$	−17.0316	+	8.50292i	−0.883048	+	0.440856i
$373$	−11.4880	+	4.45048i	−0.594827	+	0.230437i	−0.639788	−	0.768552i	$-0.720978\pi$
$373$	−11.4880	+	4.45048i	−0.594827	+	0.230437i	0.0449609	+	0.998989i	$0.485684\pi$
$374$	−2.47414	+	1.53192i	−0.127935	+	0.0792138i
$375$	−11.7460	+	10.7303i	−0.606561	+	0.554113i
$376$	3.16923	+	16.9539i	0.163440	+	0.874329i
$377$	28.5516	+	46.1125i	1.47048	+	2.37491i
$378$	1.26582	−	3.29805i	0.0651067	−	0.169634i
$379$	−13.3227	+	1.23453i	−0.684343	+	0.0634137i	−0.428821	−	0.903389i	$-0.641071\pi$
$379$	−13.3227	+	1.23453i	−0.684343	+	0.0634137i	−0.255522	+	0.966803i	$0.582247\pi$
$380$	−1.89907	−	1.73124i	−0.0974205	−	0.0888105i
$381$	−24.4166	+	26.8399i	−1.25090	+	1.37505i
$382$	1.19548	−	1.31138i	0.0611662	−	0.0670961i
$383$	14.8940	−	13.5777i	0.761048	−	0.693787i	−0.196997	−	0.980404i	$-0.563119\pi$
$383$	14.8940	−	13.5777i	0.761048	−	0.693787i	0.958045	+	0.286617i	$0.0925308\pi$
$384$	0.0181615	+	17.4118i	0.000926802	+	0.888545i
$385$	−1.37593	−	14.8487i	−0.0701240	−	0.756759i
$386$	−0.780875	+	1.03405i	−0.0397455	+	0.0526315i
$387$	−3.35505	−	5.39341i	−0.170547	−	0.274163i
$388$	−17.4385	+	15.8973i	−0.885304	+	0.807061i
$389$	−10.3559	−	20.7975i	−0.525067	−	1.05448i	−0.985954	−	0.167017i	$-0.946586\pi$
$389$	−10.3559	−	20.7975i	−0.525067	−	1.05448i	0.460887	−	0.887459i	$-0.347531\pi$
$390$	1.79071	+	9.52445i	0.0906762	+	0.482289i
$391$	4.00790	−	1.55267i	0.202688	−	0.0785218i
$392$	−1.02001	+	5.45655i	−0.0515181	+	0.275597i
$393$	1.69239	+	2.72694i	0.0853697	+	0.137556i
$394$	−5.91774	+	4.46887i	−0.298132	+	0.225139i
$395$	−2.59436	+	27.9976i	−0.130536	+	1.40871i
$396$	17.1315	−	6.67791i	0.860890	−	0.335578i
$397$	22.8434	+	6.49950i	1.14648	+	0.326200i	0.792987	−	0.609239i	$-0.208525\pi$
$397$	22.8434	+	6.49950i	1.14648	+	0.326200i	0.353488	+	0.935439i	$0.384995\pi$
$398$	3.30694	−	4.37909i	0.165762	−	0.219504i
$399$	−1.02521	+	1.36055i	−0.0513249	+	0.0681128i
$400$	3.99344	+	1.54707i	0.199672	+	0.0773533i
$401$	14.7810	+	7.36005i	0.738126	+	0.367543i	0.775155	−	0.631771i	$-0.217672\pi$
$401$	14.7810	+	7.36005i	0.738126	+	0.367543i	−0.0370288	+	0.999314i	$0.511789\pi$
$402$	7.58080	+	1.40892i	0.378096	+	0.0702703i
$403$	−30.9910	−	15.4317i	−1.54377	−	0.768708i
$404$	24.2229	−	4.52805i	1.20514	−	0.225279i
$405$	10.0297	−	20.3547i	0.498379	−	1.01143i
$406$	0.581953	+	6.28027i	0.0288818	+	0.311684i
$407$	−7.86237	−	8.62461i	−0.389723	−	0.427506i
$408$	−5.78365	+	1.08740i	−0.286333	+	0.0538341i
$409$	0.0416757	−	0.0258045i	0.00206073	−	0.00127595i	−0.525401	−	0.850854i	$-0.676085\pi$
$409$	0.0416757	−	0.0258045i	0.00206073	−	0.00127595i	0.527462	+	0.849579i	$0.323144\pi$
$410$	2.37009	−	4.75979i	0.117050	−	0.235069i
$411$	−20.3298	−	10.0966i	−1.00279	−	0.498027i
$412$	17.3544	+	7.32093i	0.854988	+	0.360677i
$413$			22.6465i			1.11436i
$414$	2.07193	−	0.391785i	0.101830	−	0.0192552i
$415$	16.8478	+	27.2102i	0.827027	+	1.33570i
$416$	−19.2469	+	14.5346i	−0.943656	+	0.712616i
$417$	−0.888894	−	3.11181i	−0.0435294	−	0.152386i
$418$	0.685524	−	0.0635232i	0.0335301	−	0.00310702i
$419$	4.29276	−	22.9642i	0.209715	−	1.12188i	−0.702350	−	0.711832i	$-0.747866\pi$
$419$	4.29276	−	22.9642i	0.209715	−	1.12188i	0.912065	−	0.410045i	$-0.134487\pi$
$420$	3.95772	−	13.9653i	0.193117	−	0.681436i
$421$	16.0888	−	32.3107i	0.784122	−	1.57473i	−0.0338194	−	0.999428i	$-0.510767\pi$
$421$	16.0888	−	32.3107i	0.784122	−	1.57473i	0.817941	−	0.575301i	$-0.195115\pi$
$422$	−2.31822	−	8.14769i	−0.112849	−	0.396623i
$423$	34.7347	−	6.56807i	1.68886	−	0.319350i
$424$	−3.44465	+	8.89168i	−0.167287	+	0.431818i
$425$	−0.578769	+	3.09614i	−0.0280744	+	0.150185i
$426$	3.45205	−	1.72341i	0.167253	−	0.0834997i
$427$	−0.937525	+	3.29506i	−0.0453700	+	0.159459i
$428$	−8.27609	−	2.35475i	−0.400040	−	0.113821i
$429$	28.4496	+	17.5742i	1.37356	+	0.848491i
$430$	1.22119	+	1.61711i	0.0588908	+	0.0779840i
$431$	6.29691	−	10.1699i	0.303311	−	0.489865i	−0.662517	−	0.749047i	$-0.730512\pi$
$431$	6.29691	−	10.1699i	0.303311	−	0.489865i	0.965828	+	0.259182i	$0.0834530\pi$
$432$	16.3999	−	0.0513181i	0.789039	−	0.00246904i
$433$	10.4427	+	26.9558i	0.501845	+	1.29541i	0.921729	+	0.387834i	$0.126777\pi$
$433$	10.4427	+	26.9558i	0.501845	+	1.29541i	−0.419884	+	0.907578i	$0.637929\pi$
$434$	−2.42624	−	3.21286i	−0.116463	−	0.154222i
$435$	0.0422581	+	40.5137i	0.00202612	+	1.94248i
$436$	−21.1460	−	23.1960i	−1.01271	−	1.11089i
$437$	−1.01253	−	0.0938251i	−0.0484361	−	0.00448826i
$438$	−0.321731	−	0.644438i	−0.0153729	−	0.0307925i
$439$	28.2901	−	2.62147i	1.35021	−	0.125116i	0.607284	−	0.794485i	$-0.292259\pi$
$439$	28.2901	−	2.62147i	1.35021	−	0.125116i	0.742930	+	0.669369i	$0.233435\pi$
$440$	−10.9098	+	5.43243i	−0.520104	+	0.258981i
$441$	11.1880	+	2.06725i	0.532762	+	0.0984406i
$442$	−3.80696	−	3.47050i	−0.181079	−	0.165075i
$443$	−4.07617	+	14.3262i	−0.193665	+	0.680660i	0.802770	+	0.596289i	$0.203359\pi$
$443$	−4.07617	+	14.3262i	−0.193665	+	0.680660i	−0.996434	+	0.0843712i	$0.973112\pi$
$444$	−4.11467	−	10.5884i	−0.195274	−	0.502503i
$445$	0.855979	+	9.23748i	0.0405773	+	0.437899i
$446$	−2.09877	+	3.38964i	−0.0993798	+	0.160504i
$447$	12.9213	−	1.21093i	0.611157	−	0.0572751i
$448$	8.35568	−	1.56195i	0.394769	−	0.0737951i
$449$	11.5066	+	4.45769i	0.543031	+	0.210371i	0.617104	−	0.786881i	$-0.288306\pi$
$449$	11.5066	+	4.45769i	0.543031	+	0.210371i	−0.0740731	+	0.997253i	$0.523600\pi$
$450$	−0.555205	+	1.44207i	−0.0261726	+	0.0679800i
$451$	−6.62774	−	17.1082i	−0.312088	−	0.805592i
$452$	2.19713	−	2.90947i	0.103344	−	0.136850i
$453$	−1.89765	−	4.88327i	−0.0891593	−	0.229436i
$454$	4.55424	+	0.422012i	0.213741	+	0.0198060i
$455$	24.6158	−	9.53623i	1.15401	−	0.447065i
$456$	1.33954	+	0.379622i	0.0627297	+	0.0177774i
$457$	37.5425	−	10.6818i	1.75616	−	0.499672i	0.766397	−	0.642368i	$-0.222048\pi$
$457$	37.5425	−	10.6818i	1.75616	−	0.499672i	0.989767	+	0.142696i	$0.0455771\pi$
$458$		−	4.68959i		−	0.219130i
$459$	2.25343	+	11.8494i	0.105181	+	0.553082i
$460$	8.33347	−	2.37108i	0.388550	−	0.110552i
$461$	9.19465	−	23.7341i	0.428237	−	1.10541i	−0.536896	−	0.843649i	$-0.680403\pi$
$461$	9.19465	−	23.7341i	0.428237	−	1.10541i	0.965133	−	0.261760i	$-0.0843028\pi$
$462$	2.05062	+	3.30416i	0.0954034	+	0.153723i
$463$	−19.8190	+	9.86871i	−0.921069	+	0.458638i	−0.842759	−	0.538291i	$-0.819070\pi$
$463$	−19.8190	+	9.86871i	−0.921069	+	0.458638i	−0.0783101	+	0.996929i	$0.524952\pi$
$464$	−26.2109	+	13.0515i	−1.21681	+	0.605900i
$465$	−13.6371	−	21.9734i	−0.632403	−	1.01899i
$466$	3.00198	−	7.74899i	0.139064	−	0.358965i
$467$	37.0429	−	10.5396i	1.71414	−	0.487715i	0.732873	−	0.680366i	$-0.238179\pi$
$467$	37.0429	−	10.5396i	1.71414	−	0.487715i	0.981267	+	0.192651i	$0.0617084\pi$
$468$	19.6697	+	25.9342i	0.909231	+	1.19881i
$469$		−	21.0032i		−	0.969836i
$470$	−10.8473	+	3.08632i	−0.500347	+	0.142361i
$471$	0.172854	+	0.0489863i	0.00796469	+	0.00225717i
$472$	17.2587	−	6.68604i	0.794394	−	0.307750i
$473$	6.96231	+	0.645153i	0.320128	+	0.0296642i
$474$	−2.65589	−	6.83447i	−0.121989	−	0.313918i
$475$	0.449075	−	0.594672i	0.0206050	−	0.0272854i
$476$	2.78720	+	7.19459i	0.127751	+	0.329763i
$477$	18.2389	+	7.02207i	0.835103	+	0.321519i
$478$	5.89569	+	2.28400i	0.269662	+	0.104468i
$479$	23.0041	−	4.30021i	1.05108	−	0.196482i	0.370259	−	0.928928i	$-0.379269\pi$
$479$	23.0041	−	4.30021i	1.05108	−	0.196482i	0.680824	+	0.732447i	$0.261622\pi$
$480$	−17.9376	+	1.68103i	−0.818734	+	0.0767282i
$481$	10.8759	−	17.5652i	0.495900	−	0.800906i
$482$	0.235537	+	2.54184i	0.0107284	+	0.115778i
$483$	−2.08048	−	5.35376i	−0.0946652	−	0.243604i
$484$	0.0476775	−	0.167569i	0.00216716	−	0.00761678i
$485$	−23.6906	−	21.5969i	−1.07574	−	0.980663i
$486$	0.0308609	+	5.91735i	0.00139988	+	0.268416i
$487$	−22.0210	+	10.9651i	−0.997865	+	0.496878i	−0.869015	−	0.494786i	$-0.835246\pi$
$487$	−22.0210	+	10.9651i	−0.997865	+	0.496878i	−0.128850	+	0.991664i	$0.541129\pi$
$488$	2.78792	−	0.258339i	0.126203	−	0.0116944i
$489$	1.71631	+	3.43783i	0.0776143	+	0.155464i
$490$	−3.61424	−	0.334909i	−0.163275	−	0.0151296i
$491$	−6.23199	−	6.83617i	−0.281246	−	0.308512i	0.582108	−	0.813112i	$-0.302228\pi$
$491$	−6.23199	−	6.83617i	−0.281246	−	0.308512i	−0.863353	+	0.504600i	$0.831640\pi$
$492$	−0.0186275	−	17.8586i	−0.000839794	−	0.805128i
$493$	−12.9778	−	17.1854i	−0.584492	−	0.773992i
$494$	0.440263	+	1.13645i	0.0198084	+	0.0511313i
$495$	11.1808	+	22.3372i	0.502541	+	1.00398i
$496$	9.83937	−	15.8911i	0.441801	−	0.713532i
$497$	−6.33361	−	8.38705i	−0.284101	−	0.376211i
$498$	−7.10034	−	4.38610i	−0.318174	−	0.196546i
$499$	24.3263	+	6.92142i	1.08899	+	0.309845i	0.770085	−	0.637941i	$-0.220214\pi$
$499$	24.3263	+	6.92142i	1.08899	+	0.309845i	0.318907	+	0.947786i	$0.396684\pi$
$500$	4.66513	−	16.3962i	0.208631	−	0.733262i
$501$	8.58842	−	4.28771i	0.383702	−	0.191561i
$502$	0.306897	−	1.64175i	0.0136975	−	0.0732751i
$503$	−11.7370	+	30.2968i	−0.523329	+	1.35087i	0.381215	+	0.924486i	$0.375506\pi$
$503$	−11.7370	+	30.2968i	−0.523329	+	1.35087i	−0.904544	+	0.426381i	$0.859788\pi$
$504$	1.46119	+	7.72742i	0.0650868	+	0.344207i
$505$	9.16155	+	32.1995i	0.407684	+	1.43286i
$506$	−1.03466	+	2.07787i	−0.0459962	+	0.0923727i
$507$	−10.0013	+	35.2906i	−0.444172	+	1.56731i
$508$	7.14397	−	38.2169i	0.316963	−	1.69560i
$509$	−37.6979	+	3.49322i	−1.67093	+	0.154834i	−0.885665	−	0.464325i	$-0.846297\pi$
$509$	−37.6979	+	3.49322i	−1.67093	+	0.154834i	−0.785265	+	0.619160i	$0.787473\pi$
$510$	−1.05693	−	3.70007i	−0.0468018	−	0.163842i
$511$	−1.56572	+	1.18237i	−0.0692632	+	0.0523051i
$512$	−11.7185	−	18.9261i	−0.517891	−	0.836423i
$513$	0.772338	−	2.74712i	0.0340996	−	0.121288i
$514$		−	10.9357i		−	0.482354i
$515$	−7.72790	+	24.3935i	−0.340532	+	1.07490i
$516$	6.09562	+	3.02733i	0.268345	+	0.133271i
$517$	−17.3455	+	34.8345i	−0.762854	+	1.53202i
$518$	2.04268	−	1.26477i	0.0897502	−	0.0555709i
$519$	26.9980	−	5.07594i	1.18508	−	0.222809i
$520$	−14.5349	−	15.9440i	−0.637398	−	0.699192i
$521$	−2.17199	−	23.4395i	−0.0951565	−	1.02690i	−0.900722	−	0.434396i	$-0.856962\pi$
$521$	−2.17199	−	23.4395i	−0.0951565	−	1.02690i	0.805566	−	0.592507i	$-0.201862\pi$
$522$	−4.72895	−	9.44756i	−0.206980	−	0.413509i
$523$	6.52506	−	1.21975i	0.285321	−	0.0533358i	−0.0391435	−	0.999234i	$-0.512463\pi$
$523$	6.52506	−	1.21975i	0.285321	−	0.0533358i	0.324465	+	0.945898i	$0.394816\pi$
$524$	−3.07839	−	1.53286i	−0.134480	−	0.0669631i
$525$	4.13831	+	0.769118i	0.180611	+	0.0335671i
$526$	−0.142357	−	0.0708854i	−0.00620706	−	0.00309075i
$527$	12.8182	+	4.96582i	0.558372	+	0.216314i
$528$	−10.8645	+	14.4182i	−0.472817	+	0.627471i
$529$	−11.7945	+	15.6184i	−0.512803	+	0.679061i
$530$	−5.99710	−	1.70632i	−0.260497	−	0.0741179i
$531$	−13.7774	−	35.3444i	−0.597886	−	1.53382i
$532$	0.168426	−	1.81760i	0.00730218	−	0.0788031i
$533$	25.9188	−	19.5729i	1.12267	−	0.847799i
$534$	−1.27571	−	2.05554i	−0.0552052	−	0.0889521i
$535$	2.14794	−	11.4905i	0.0928637	−	0.496777i
$536$	−16.0063	+	6.20086i	−0.691366	+	0.267836i
$537$	−0.200075	−	1.06416i	−0.00863385	−	0.0459218i
$538$	2.93362	+	5.89151i	0.126477	+	0.254001i
$539$	−9.25563	+	8.43762i	−0.398668	+	0.363434i
$540$	2.31918	+	24.2033i	0.0998015	+	1.04155i
$541$	21.2979	−	28.2029i	0.915667	−	1.21254i	−0.0610781	−	0.998133i	$-0.519454\pi$
$541$	21.2979	−	28.2029i	0.915667	−	1.21254i	0.976745	−	0.214406i	$-0.0687814\pi$
$542$	−0.109936	−	1.18640i	−0.00472216	−	0.0509602i
$543$	0.0105333	+	10.0985i	0.000452027	+	0.433368i
$544$	7.07713	−	6.45165i	0.303429	−	0.276612i
$545$	28.7274	−	31.5124i	1.23055	−	1.34984i
$546$	−4.63247	+	5.09224i	−0.198251	+	0.217928i
$547$	−23.5936	−	21.5084i	−1.00879	−	0.919635i	−0.0120201	−	0.999928i	$-0.503826\pi$
$547$	−23.5936	−	21.5084i	−1.00879	−	0.919635i	−0.996771	+	0.0802929i	$0.974414\pi$
$548$	24.2182	−	2.24415i	1.03455	−	0.0958654i
$549$	−0.541406	−	5.71295i	−0.0231066	−	0.243823i
$550$	−0.895484	−	1.44626i	−0.0381836	−	0.0616686i
$551$	0.936180	+	5.00812i	0.0398826	+	0.213353i
$552$	−3.46581	+	3.16613i	−0.147515	+	0.134759i
$553$	−16.9813	+	10.5144i	−0.722118	+	0.447116i
$554$	11.0492	−	4.28047i	0.469434	−	0.181860i
$555$	13.8075	−	6.89329i	0.586095	−	0.292604i
$556$	2.56265	+	2.33616i	0.108681	+	0.0990754i
$557$	2.93994	−	31.7270i	0.124569	−	1.34432i	−0.672351	−	0.740233i	$-0.734715\pi$
$557$	2.93994	−	31.7270i	0.124569	−	1.34432i	0.796920	−	0.604085i	$-0.206461\pi$
$558$	5.74122	+	3.53827i	0.243045	+	0.149787i
$559$	2.27442	+	12.1671i	0.0961978	+	0.514613i
$560$	3.90019	+	13.7078i	0.164813	+	0.579258i
$561$	−11.8919	−	5.90601i	−0.502078	−	0.249352i
$562$			9.08605i			0.383272i
$563$	0.463120	+	1.62770i	0.0195182	+	0.0685992i	0.970973	−	0.239189i	$-0.0768817\pi$
$563$	0.463120	+	1.62770i	0.0195182	+	0.0685992i	−0.951455	+	0.307789i	$0.900411\pi$
$564$	−27.9655	+	25.5474i	−1.17756	+	1.07574i
$565$	4.21113	+	2.60742i	0.177164	+	0.109695i
$566$	−4.18199	−	8.39857i	−0.175782	−	0.353018i
$567$	15.8317	−	3.02787i	0.664869	−	0.127159i
$568$	−4.52178	+	7.30292i	−0.189729	+	0.306424i
$569$	42.1131	+	16.3147i	1.76547	+	0.683949i	0.999138	+	0.0415096i	$0.0132167\pi$
$569$	42.1131	+	16.3147i	1.76547	+	0.683949i	0.766337	+	0.642439i	$0.222077\pi$
$570$	−0.166350	+	0.895064i	−0.00696765	+	0.0374901i
$571$	−30.9467			−1.29508			−0.647539	−	0.762032i	$-0.724202\pi$
$571$	−30.9467			−1.29508			−0.647539	+	0.762032i	$0.724202\pi$
$572$	−35.8311			−1.49817
$573$	7.96042	+	1.47947i	0.332551	+	0.0618057i
$574$	3.71270	−	0.694024i	0.154965	−	0.0289680i
$575$	0.907612	+	2.34282i	0.0378500	+	0.0977022i
$576$	−12.0905	+	7.52103i	−0.503769	+	0.313376i
$577$	−6.10802	+	6.70018i	−0.254280	+	0.278932i	−0.852870	−	0.522124i	$-0.825140\pi$
$577$	−6.10802	+	6.70018i	−0.254280	+	0.278932i	0.598589	+	0.801056i	$0.295728\pi$
$578$	−3.51751	−	2.65630i	−0.146309	−	0.110487i
$579$	−5.88767	−	0.539380i	−0.244683	−	0.0224159i
$580$	−22.8528	−	36.9085i	−0.948910	−	1.53254i
$581$	−8.21226	+	21.1983i	−0.340702	+	0.879453i
$582$	8.04302	+	2.27937i	0.333394	+	0.0944830i
$583$	−18.2918	+	11.3258i	−0.757570	+	0.469068i
$584$	1.36333	+	0.844136i	0.0564149	+	0.0349306i
$585$	−32.6164	+	29.8586i	−1.34852	+	1.23450i
$586$	−4.52713	+	4.96603i	−0.187014	+	0.205145i
$587$	21.3058	+	6.06203i	0.879385	+	0.250207i	0.683086	−	0.730338i	$-0.260637\pi$
$587$	21.3058	+	6.06203i	0.879385	+	0.250207i	0.196298	+	0.980544i	$0.437108\pi$
$588$	−11.3631	+	4.41572i	−0.468606	+	0.182101i
$589$	−2.19100	−	2.40341i	−0.0902785	−	0.0990308i
$590$	5.39446	+	10.8335i	0.222086	+	0.446010i
$591$	−31.5636	−	12.1899i	−1.29835	−	0.501427i
$592$	8.90077	+	6.72155i	0.365819	+	0.276254i
$593$	0.486170	−	5.24661i	0.0199646	−	0.215452i	−0.979907	−	0.199453i	$-0.936084\pi$
$593$	0.486170	−	5.24661i	0.0199646	−	0.215452i	0.999872	−	0.0159993i	$-0.00509296\pi$
$594$	−5.21053	−	3.90927i	−0.213791	−	0.160399i
$595$	−9.38297	+	4.67216i	−0.384664	+	0.191540i
$596$	−11.0972	+	8.38019i	−0.454558	+	0.343266i
$597$	24.9337	+	2.28422i	1.02047	+	0.0934871i
$598$	−4.03918	−	0.755053i	−0.165174	−	0.0308764i
$599$	−18.5087	−	11.4601i	−0.756243	−	0.468246i	0.0933836	−	0.995630i	$-0.470232\pi$
$599$	−18.5087	−	11.4601i	−0.756243	−	0.468246i	−0.849627	+	0.527384i	$0.823173\pi$
$600$	−0.635637	−	3.38083i	−0.0259498	−	0.138022i
$601$	−0.263470	−	0.0244141i	−0.0107472	−	0.000995871i	0.0868934	−	0.996218i	$-0.472306\pi$
$601$	−0.263470	−	0.0244141i	−0.0107472	−	0.000995871i	−0.0976406	+	0.995222i	$0.531130\pi$
$602$	−0.393919	+	1.38448i	−0.0160549	+	0.0564273i
$603$	12.7776	+	32.7796i	0.520344	+	1.33489i
$604$	4.47978	+	3.38297i	0.182280	+	0.137651i
$605$	0.232652	+	0.0434903i	0.00945866	+	0.00176813i
$606$	−5.88817	−	6.44550i	−0.239191	−	0.261831i
$607$	−14.7492	+	29.6203i	−0.598650	+	1.20225i	0.363974	+	0.931409i	$0.381420\pi$
$607$	−14.7492	+	29.6203i	−0.598650	+	1.20225i	−0.962624	+	0.270842i	$0.912698\pi$
$608$	−2.17916	+	0.620025i	−0.0883766	+	0.0251453i
$609$	−22.9475	+	17.3668i	−0.929880	+	0.703737i
$610$	0.336403	+	1.79960i	0.0136206	+	0.0728636i
$611$	−67.7147	−	12.6581i	−2.73944	−	0.512091i
$612$	−8.72691	−	9.53295i	−0.352764	−	0.385346i
$613$	13.1458	−	11.9840i	0.530953	−	0.484027i	−0.363249	−	0.931692i	$-0.618333\pi$
$613$	13.1458	−	11.9840i	0.530953	−	0.484027i	0.894201	+	0.447665i	$0.147744\pi$
$614$	1.04308	+	1.38126i	0.0420954	+	0.0557433i
$615$	24.1556	−	2.26376i	0.974046	−	0.0912835i
$616$	−7.74960	−	3.85884i	−0.312240	−	0.155477i
$617$	6.07866			0.244718			0.122359	−	0.992486i	$-0.460954\pi$
$617$	6.07866			0.244718			0.122359	+	0.992486i	$0.460954\pi$
$618$	−1.03834	−	6.59153i	−0.0417682	−	0.265150i
$619$	−32.4800			−1.30548			−0.652740	−	0.757582i	$-0.726381\pi$
$619$	−32.4800			−1.30548			−0.652740	+	0.757582i	$0.726381\pi$
$620$	24.8053	+	12.3516i	0.996204	+	0.496051i
$621$	6.50404	+	7.08991i	0.260998	+	0.284508i
$622$	0.965218	+	1.27815i	0.0387017	+	0.0512493i
$623$	−4.86993	+	4.43953i	−0.195110	+	0.177866i
$624$	−29.8128	−	11.5138i	−1.19347	−	0.460920i
$625$	29.4335	+	5.50207i	1.17734	+	0.220083i
$626$	0.859907	+	4.60010i	0.0343688	+	0.183857i
$627$	1.89567	+	2.50484i	0.0757059	+	0.100034i
$628$	−0.185159	+	0.0526823i	−0.00738865	+	0.00210225i
$629$	−3.65648	+	7.34320i	−0.145793	+	0.292793i
$630$	−4.94308	+	1.41758i	−0.196937	+	0.0564778i
$631$	10.2897	+	1.92348i	0.409628	+	0.0765727i	0.384530	−	0.923112i	$-0.374363\pi$
$631$	10.2897	+	1.92348i	0.409628	+	0.0765727i	0.0250973	+	0.999685i	$0.492010\pi$
$632$	13.0263	+	9.83704i	0.518160	+	0.391296i
$633$	26.0097	−	28.5911i	1.03379	−	1.13639i
$634$	2.75165	−	9.67105i	0.109282	−	0.384087i
$635$	52.5927	+	4.87343i	2.08708	+	0.193396i
$636$	−20.5809	+	3.86946i	−0.816086	+	0.153434i
$637$	−18.8504	−	11.6717i	−0.746880	−	0.462449i
$638$	11.4321	+	2.13703i	0.452601	+	0.0846057i
$639$	14.9872	+	9.23651i	0.592886	+	0.365391i
$640$	20.2265	−	15.2743i	0.799521	−	0.603770i
$641$	−21.3579	+	10.6350i	−0.843588	+	0.420057i	−0.814949	−	0.579533i	$-0.803235\pi$
$641$	−21.3579	+	10.6350i	−0.843588	+	0.420057i	−0.0286393	+	0.999590i	$0.509117\pi$
$642$	0.837277	+	2.93111i	0.0330447	+	0.115682i
$643$	−1.42509	+	15.3791i	−0.0561999	+	0.606494i	0.920334	+	0.391132i	$0.127917\pi$
$643$	−1.42509	+	15.3791i	−0.0561999	+	0.606494i	−0.976534	+	0.215362i	$0.930907\pi$
$644$	4.91140	+	3.70891i	0.193536	+	0.146152i
$645$	−3.33108	+	8.62521i	−0.131161	+	0.339617i
$646$	−0.215702	−	0.433187i	−0.00848666	−	0.0170435i
$647$	11.2541	+	12.3452i	0.442446	+	0.485340i	0.919253	−	0.393668i	$-0.128794\pi$
$647$	11.2541	+	12.3452i	0.442446	+	0.485340i	−0.476807	+	0.879008i	$0.658206\pi$
$648$	−6.98158	−	11.1712i	−0.274262	−	0.438847i
$649$	40.1649	+	11.4279i	1.57661	+	0.448585i
$650$	2.02868	−	2.22536i	0.0795714	−	0.0872857i
$651$	6.61816	−	17.1365i	0.259386	−	0.671632i
$652$	−3.50051	−	2.16743i	−0.137091	−	0.0848829i
$653$	−20.3082	+	12.5743i	−0.794723	+	0.492072i	−0.862762	−	0.505611i	$-0.831267\pi$
$653$	−20.3082	+	12.5743i	−0.794723	+	0.492072i	0.0680386	+	0.997683i	$0.478326\pi$
$654$	−3.03194	+	10.6985i	−0.118558	+	0.418346i
$655$	1.68767	−	4.35638i	0.0659427	−	0.170218i
$656$	9.23072	+	14.9081i	0.360399	+	0.582064i
$657$	1.72429	−	2.79786i	0.0672711	−	0.109155i
$658$	−6.39293	−	4.82771i	−0.249222	−	0.188204i
$659$	8.69946	−	9.54285i	0.338883	−	0.371737i	−0.545812	−	0.837908i	$-0.683779\pi$
$659$	8.69946	−	9.54285i	0.338883	−	0.371737i	0.884695	+	0.466171i	$0.154367\pi$
$660$	−22.7711	−	14.0664i	−0.886363	−	0.547535i
$661$	10.7771	+	27.8188i	0.419179	+	1.08203i	0.969069	+	0.246789i	$0.0793756\pi$
$661$	10.7771	+	27.8188i	0.419179	+	1.08203i	−0.549890	+	0.835237i	$0.685330\pi$
$662$	−4.64754	+	0.868776i	−0.180632	+	0.0337659i
$663$	4.29492	−	23.1092i	0.166801	−	0.897488i
$664$	18.5795			0.721025
$665$	2.47984			0.0961640
$666$	−2.41856	+	3.21662i	−0.0937174	+	0.124642i
$667$	−16.0179	−	6.20538i	−0.620217	−	0.240273i
$668$	−5.41469	+	8.74502i	−0.209501	+	0.338355i
$669$	−18.1909	+	0.0189741i	−0.703300	+	0.000733581i
$670$	−5.00301	−	10.0474i	−0.193283	−	0.388165i
$671$	5.37089	+	3.32551i	0.207341	+	0.128380i
$672$	−8.63148	−	9.44847i	−0.332967	−	0.364483i
$673$	−3.44885	−	12.1214i	−0.132943	−	0.467247i	0.866550	−	0.499091i	$-0.166333\pi$
$673$	−3.44885	−	12.1214i	−0.132943	−	0.467247i	−0.999493	+	0.0318439i	$0.989862\pi$
$674$		−	4.84866i		−	0.186764i
$675$	−6.92656	+	1.31724i	−0.266603	+	0.0507007i
$676$	−10.7558	−	37.8029i	−0.413686	−	1.45396i
$677$	0.419244	+	2.24276i	0.0161129	+	0.0861962i	0.990084	−	0.140475i	$-0.0448629\pi$
$677$	0.419244	+	2.24276i	0.0161129	+	0.0861962i	−0.973971	+	0.226671i	$0.927216\pi$
$678$	−1.28624	−	0.117835i	−0.0493977	−	0.00452541i
$679$	2.10108	−	22.6743i	0.0806321	−	0.870159i
$680$	6.33078	+	5.77127i	0.242774	+	0.221318i
$681$	9.32162	+	18.6715i	0.357205	+	0.715494i
$682$	−6.92253	+	2.68180i	−0.265077	+	0.102692i
$683$	−42.9410	+	26.5879i	−1.64309	+	1.01736i	−0.685985	+	0.727615i	$0.740629\pi$
$683$	−42.9410	+	26.5879i	−1.64309	+	1.01736i	−0.957105	+	0.289743i	$0.906430\pi$
$684$	0.842905	+	2.93919i	0.0322293	+	0.112383i
$685$	6.07146	+	32.4795i	0.231979	+	1.24098i
$686$	−3.86259	−	6.23830i	−0.147474	−	0.238179i
$687$	18.1809	−	11.2834i	0.693643	−	0.430487i
$688$	−6.65394	+	0.616579i	−0.253679	+	0.0235068i
$689$	−28.1457	−	25.6582i	−1.07226	−	0.977498i
$690$	−2.27053	−	2.06553i	−0.0864376	−	0.0786334i
$691$	−20.4519	+	22.4347i	−0.778027	+	0.853455i	−0.992369	−	0.123304i	$-0.960651\pi$
$691$	−20.4519	+	22.4347i	−0.778027	+	0.853455i	0.214342	+	0.976759i	$0.431239\pi$
$692$	−21.7530	+	19.8304i	−0.826923	+	0.753840i
$693$	−7.87587	+	15.8999i	−0.299179	+	0.603988i
$694$	0.387576	+	4.18261i	0.0147122	+	0.158770i
$695$	−2.83898	+	3.75941i	−0.107688	+	0.142603i
$696$	20.0099	+	12.3608i	0.758474	+	0.468533i
$697$	−9.53040	+	8.68810i	−0.360989	+	0.329085i
$698$	1.55874	+	3.13038i	0.0589993	+	0.118487i
$699$	37.2646	−	7.00620i	1.40948	−	0.264999i
$700$	−4.20559	+	1.62926i	−0.158957	+	0.0615801i
$701$	1.85987	−	9.94944i	0.0702464	−	0.375785i	−0.929725	−	0.368254i	$-0.879956\pi$
$701$	1.85987	−	9.94944i	0.0702464	−	0.375785i	0.999972	−	0.00753109i	$-0.00239724\pi$
$702$	4.13195	−	10.7657i	0.155950	−	0.406324i
$703$	1.54875	−	1.16956i	0.0584122	−	0.0441108i
$704$	1.44625	−	15.6075i	0.0545074	−	0.588229i
$705$	−38.0642	−	34.6275i	−1.43358	−	1.30415i
$706$	−0.0257803	−	0.00733514i	−0.000970256	−	0.000276062i
$707$	−14.3308	+	18.9770i	−0.538965	+	0.713705i
$708$	32.4627	+	24.4616i	1.22002	+	0.919322i
$709$	19.1610	+	7.42301i	0.719607	+	0.278777i	0.693070	−	0.720871i	$-0.256258\pi$
$709$	19.1610	+	7.42301i	0.719607	+	0.278777i	0.0265372	+	0.999648i	$0.491552\pi$
$710$	−5.02766	−	2.50348i	−0.188685	−	0.0939538i
$711$	20.1061	−	26.7406i	0.754037	−	1.00285i
$712$	4.82109	+	2.40062i	0.180678	+	0.0899669i
$713$	10.7785	−	2.01485i	0.403657	−	0.0754566i
$714$	1.64497	−	2.18303i	0.0615616	−	0.0816978i
$715$	−4.49139	−	48.4698i	−0.167968	−	1.81267i
$716$	0.781641	+	0.857419i	0.0292113	+	0.0320433i
$717$	5.33055	+	28.3521i	0.199073	+	1.05883i
$718$	−8.33271	+	5.15940i	−0.310974	+	0.192547i
$719$	19.3885	−	38.9373i	0.723068	−	1.45212i	−0.162066	−	0.986780i	$-0.551816\pi$
$719$	19.3885	−	38.9373i	0.723068	−	1.45212i	0.885134	−	0.465336i	$-0.154067\pi$
$720$	−14.4263	−	19.0209i	−0.537638	−	0.708868i
$721$	−17.1358	+	6.06153i	−0.638169	+	0.225743i
$722$		−	7.09797i		−	0.264159i
$723$	−9.28766	+	7.02894i	−0.345412	+	0.261409i
$724$	−5.69631	−	9.19986i	−0.211702	−	0.341910i
$725$	10.0457	−	7.58618i	0.373089	−	0.281744i
$726$	−0.0593472	+	0.0169527i	−0.00220258	+	0.000629173i
$727$	−4.28618	+	0.397173i	−0.158966	+	0.0147303i	−0.171457	−	0.985192i	$-0.554847\pi$
$727$	−4.28618	+	0.397173i	−0.158966	+	0.0147303i	0.0124911	+	0.999922i	$0.496024\pi$
$728$	2.81603	−	15.0645i	0.104369	−	0.558326i
$729$	−22.8665	+	14.3571i	−0.846906	+	0.531743i
$730$	−0.467355	+	0.938576i	−0.0172976	+	0.0347383i
$731$	−1.34499	−	4.72716i	−0.0497463	−	0.174840i
$732$	3.71065	+	4.90305i	0.137149	+	0.181222i
$733$	0.734658	−	1.89637i	0.0271352	−	0.0700440i	−0.918247	−	0.396009i	$-0.870395\pi$
$733$	0.734658	−	1.89637i	0.0271352	−	0.0700440i	0.945382	+	0.325965i	$0.105689\pi$
$734$	1.01572	−	5.43363i	0.0374910	−	0.200559i
$735$	−7.39764	−	14.8177i	−0.272866	−	0.546559i
$736$	2.09048	−	7.34728i	0.0770562	−	0.270824i
$737$	−37.2503	−	10.5986i	−1.37213	−	0.390406i
$738$	−5.37219	+	3.34184i	−0.197753	+	0.123015i
$739$	2.36626	+	3.13344i	0.0870443	+	0.115265i	0.839456	−	0.543428i	$-0.182874\pi$
$739$	2.36626	+	3.13344i	0.0870443	+	0.115265i	−0.752411	+	0.658694i	$0.771109\pi$
$740$	−8.70512	+	14.0592i	−0.320006	+	0.516828i
$741$	−3.34656	+	4.44119i	−0.122939	+	0.163151i
$742$	−1.59995	−	4.12994i	−0.0587359	−	0.151615i
$743$	−19.5180	−	25.8460i	−0.716046	−	0.948198i	0.283898	−	0.958855i	$-0.408372\pi$
$743$	−19.5180	−	25.8460i	−0.716046	−	0.948198i	−0.999943	+	0.0106570i	$0.996608\pi$
$744$	−15.0134	+	0.0156598i	−0.550419	+	0.000574118i
$745$	−12.7272	−	13.9610i	−0.466287	−	0.511493i
$746$	−4.65674	−	0.431511i	−0.170495	−	0.0157987i
$747$	−0.0794396	−	38.0802i	−0.00290654	−	1.39328i
$748$	14.1665	−	1.31272i	0.517978	−	0.0479978i
$749$	7.43297	−	3.70118i	0.271595	−	0.135238i
$750$	−5.80699	+	1.65878i	−0.212041	+	0.0605700i
$751$	13.7256	+	12.5125i	0.500853	+	0.456587i	0.884262	−	0.466991i	$-0.154662\pi$
$751$	13.7256	+	12.5125i	0.500853	+	0.456587i	−0.383409	+	0.923578i	$0.625250\pi$
$752$	10.1777	−	35.7708i	0.371141	−	1.30443i
$753$	7.10326	−	2.76034i	0.258857	−	0.100592i
$754$	1.89964	+	20.5004i	0.0691808	+	0.746580i
$755$	−4.01472	+	6.48399i	−0.146111	+	0.235977i
$756$	−12.7271	+	11.6754i	−0.462881	+	0.424631i
$757$	−15.6330	+	2.92232i	−0.568191	+	0.106213i	−0.460004	−	0.887917i	$-0.652152\pi$
$757$	−15.6330	+	2.92232i	−0.568191	+	0.106213i	−0.108188	+	0.994130i	$0.534505\pi$
$758$	−4.73605	−	1.83475i	−0.172021	−	0.0666413i
$759$	−10.5451	+	0.988238i	−0.382761	+	0.0358708i
$760$	−0.732135	−	1.88986i	−0.0265573	−	0.0685523i
$761$	−25.1138	+	33.2561i	−0.910375	+	1.20553i	0.0677900	+	0.997700i	$0.478405\pi$
$761$	−25.1138	+	33.2561i	−0.910375	+	1.20553i	−0.978165	+	0.207831i	$0.933359\pi$
$762$	−12.8384	+	4.98901i	−0.465084	+	0.180733i
$763$	30.1605	+	2.79478i	1.09188	+	0.101178i
$764$	−8.08985	+	3.13402i	−0.292680	+	0.113385i
$765$	11.8016	−	13.0001i	0.426688	−	0.470020i
$766$	7.35847	−	2.09367i	0.265873	−	0.0756472i
$767$			73.9239i			2.66924i
$768$	4.37333	−	8.80583i	0.157809	−	0.317753i
$769$	4.03494	−	1.14804i	0.145504	−	0.0413993i	−0.200127	−	0.979770i	$-0.564136\pi$
$769$	4.03494	−	1.14804i	0.145504	−	0.0413993i	0.345631	+	0.938371i	$0.387665\pi$
$770$	2.04490	−	5.27849i	0.0736931	−	0.190224i
$771$	42.3962	−	26.3119i	1.52686	−	0.947598i
$772$	5.67094	−	2.82379i	0.204102	−	0.101630i
$773$	2.70059	−	1.34474i	0.0971336	−	0.0483668i	−0.396515	−	0.918028i	$-0.629781\pi$
$773$	2.70059	−	1.34474i	0.0971336	−	0.0483668i	0.493649	+	0.869661i	$0.335663\pi$
$774$	−0.227482	−	2.40040i	−0.00817666	−	0.0862808i
$775$	−2.90277	+	7.49290i	−0.104270	+	0.269153i
$776$	−17.9001	+	5.09302i	−0.642577	+	0.182829i
$777$	9.81813	+	4.87607i	0.352223	+	0.174928i
$778$		−	8.81940i		−	0.316191i
$779$	2.93456	−	0.834955i	0.105142	−	0.0299154i
$780$	12.9190	−	45.5862i	0.462575	−	1.63225i
$781$	−18.0710	+	7.00074i	−0.646631	+	0.250506i
$782$	1.62463	+	0.150544i	0.0580966	+	0.00538344i
$783$	25.2488	−	41.0647i	0.902318	−	1.46753i
$784$	7.21333	−	9.55199i	0.257619	−	0.341143i
$785$	−0.0944744	−	0.243867i	−0.00337194	−	0.00870397i
$786$	0.113676	+	1.21299i	0.00405471	+	0.0432660i
$787$	19.8563	+	7.69237i	0.707800	+	0.274203i	0.688114	−	0.725603i	$-0.258439\pi$
$787$	19.8563	+	7.69237i	0.707800	+	0.274203i	0.0196865	+	0.999806i	$0.493733\pi$
$788$	35.6378	−	6.66186i	1.26954	−	0.237319i
$789$	−0.0677051	−	0.722452i	−0.00241037	−	0.0257200i
$790$	−5.61888	+	9.07480i	−0.199911	+	0.322867i
$791$	0.324627	+	3.50329i	0.0115424	+	0.124563i
$792$	14.4424	+	1.30790i	0.513188	+	0.0464743i
$793$	−3.06032	+	10.7559i	−0.108675	+	0.381953i
$794$	6.66259	+	6.07375i	0.236447	+	0.215549i
$795$	−7.81413	−	27.3554i	−0.277139	−	0.970196i
$796$	−24.0159	+	11.9585i	−0.851221	+	0.423858i
$797$	−20.9824	+	1.94431i	−0.743236	+	0.0688710i	−0.457220	−	0.889354i	$-0.651155\pi$
$797$	−20.9824	+	1.94431i	−0.743236	+	0.0688710i	−0.286017	+	0.958225i	$0.592331\pi$
$798$	−0.578585	+	0.288855i	−0.0204817	+	0.0102253i
$799$	27.2360	+	2.52379i	0.963541	+	0.0892853i
$800$	3.77131	+	4.13693i	0.133336	+	0.146263i
$801$	4.89964	−	9.89146i	0.173120	−	0.349498i
$802$	3.77733	+	5.00199i	0.133382	+	0.176626i
$803$	1.30692	+	3.37354i	0.0461201	+	0.119050i
$804$	−30.1070	−	22.6865i	−1.06179	−	0.800091i
$805$	−4.40153	+	7.10871i	−0.155133	+	0.250549i
$806$	−7.91986	−	10.4876i	−0.278965	−	0.369410i
$807$	−15.7821	+	25.5485i	−0.555556	+	0.899349i
$808$	18.6931	+	5.31866i	0.657622	+	0.187110i
$809$	9.09581	−	31.9685i	0.319792	−	1.12395i	−0.620676	−	0.784067i	$-0.713142\pi$
$809$	9.09581	−	31.9685i	0.319792	−	1.12395i	0.940467	−	0.339884i	$-0.110388\pi$
$810$	6.85225	−	5.21961i	0.240764	−	0.183399i
$811$	−6.82390	+	36.5046i	−0.239619	+	1.28185i	0.625476	+	0.780243i	$0.284905\pi$
$811$	−6.82390	+	36.5046i	−0.239619	+	1.28185i	−0.865095	+	0.501607i	$0.832742\pi$
$812$	11.1393	−	28.7538i	0.390913	−	1.00906i
$813$	4.33499	−	3.28074i	0.152035	−	0.115061i
$814$	−1.21237	−	4.26104i	−0.0424936	−	0.149349i
$815$	2.49316	−	5.00694i	0.0873315	−	0.175385i
$816$	12.2089	+	3.45996i	0.427396	+	0.121123i
$817$	−0.213656	+	1.14296i	−0.00747489	+	0.0399871i
$818$	0.0185279	−	0.00171686i	0.000647813	−	6.00287e-5i
$819$	−30.8878	−	5.70727i	−1.07931	−	0.199428i
$820$	−20.7454	+	15.6662i	−0.724462	+	0.547088i
$821$	21.5722	+	34.8403i	0.752874	+	1.21593i	0.970782	+	0.239964i	$0.0771357\pi$
$821$	21.5722	+	34.8403i	0.752874	+	1.21593i	−0.217907	+	0.975969i	$0.569923\pi$
$822$	−5.19982	−	6.87076i	−0.181364	−	0.239645i
$823$		−	4.39932i		−	0.153351i	−0.997056	−	0.0766754i	$-0.975569\pi$
$823$		−	4.39932i		−	0.153351i	0.997056	−	0.0766754i	$-0.0244305\pi$
$824$	9.67850	+	11.2694i	0.337167	+	0.392588i
$825$	3.45235	−	6.95143i	0.120196	−	0.242018i
$826$	−3.83187	+	7.69544i	−0.133328	+	0.267759i
$827$	13.9572	−	8.64194i	0.485340	−	0.300510i	−0.261864	−	0.965105i	$-0.584337\pi$
$827$	13.9572	−	8.64194i	0.485340	−	0.300510i	0.747204	+	0.664595i	$0.231396\pi$
$828$	−9.92158	−	2.80057i	−0.344799	−	0.0973267i
$829$	13.1570	+	14.4325i	0.456960	+	0.501262i	0.923691	−	0.383138i	$-0.125157\pi$
$829$	13.1570	+	14.4325i	0.456960	+	0.501262i	−0.466731	+	0.884399i	$0.654568\pi$
$830$	1.12094	+	12.0969i	0.0389086	+	0.419890i
$831$	43.1796	+	32.5371i	1.49788	+	1.12870i
$832$	27.2750	−	5.09859i	0.945592	−	0.176762i
$833$	7.88047	+	3.92401i	0.273042	+	0.135959i
$834$	0.224477	−	1.20782i	0.00777299	−	0.0418233i
$835$	−12.5084	−	6.22844i	−0.432871	−	0.215544i
$836$	−3.13863	−	1.21591i	−0.108552	−	0.0420532i
$837$	0.0962883	+	30.7711i	0.00332821	+	1.06361i
$838$	5.34434	−	7.07705i	0.184617	−	0.244473i
$839$	−19.6591	−	5.59350i	−0.678708	−	0.193109i	−0.0832901	−	0.996525i	$-0.526543\pi$
$839$	−19.6591	−	5.59350i	−0.678708	−	0.193109i	−0.595418	+	0.803416i	$0.703013\pi$
$840$	7.70356	−	8.46813i	0.265798	−	0.292178i
$841$	−5.26550	+	56.8238i	−0.181569	+	1.95944i
$842$	10.9342	−	8.25712i	0.376817	−	0.284559i
$843$	−35.2253	+	21.8615i	−1.21322	+	0.752949i
$844$	−7.61008	+	40.7103i	−0.261950	+	1.40131i
$845$	49.7889	−	19.2883i	1.71279	−	0.663538i
$846$	12.9144	+	3.64537i	0.444008	+	0.125330i
$847$	0.0749392	+	0.150498i	0.00257494	+	0.00517118i
$848$	15.1951	−	13.8521i	0.521801	−	0.475684i
$849$	22.4980	−	36.4203i	0.772129	−	1.24994i
$850$	−0.720549	+	0.954160i	−0.0247146	+	0.0327274i
$851$	0.603752	+	6.51553i	0.0206964	+	0.223349i
$852$	−18.8637	+	0.0196759i	−0.646259	+	0.000674084i
$853$	−34.9067	+	31.8217i	−1.19518	+	1.08955i	−0.201253	+	0.979539i	$0.564501\pi$
$853$	−34.9067	+	31.8217i	−1.19518	+	1.08955i	−0.993930	+	0.110014i	$0.964910\pi$
$854$	−0.876114	+	0.961051i	−0.0299800	+	0.0328865i
$855$	−3.87028	+	1.50865i	−0.132361	+	0.0515947i
$856$	−5.01510	−	4.57186i	−0.171412	−	0.156263i
$857$	−18.2757	+	1.69350i	−0.624287	+	0.0578487i	−0.399761	−	0.916619i	$-0.630907\pi$
$857$	−18.2757	+	1.69350i	−0.624287	+	0.0578487i	−0.224526	+	0.974468i	$0.572083\pi$
$858$	6.69374	+	10.7856i	0.228520	+	0.368215i
$859$	8.12424	+	13.1211i	0.277195	+	0.447686i	0.958819	−	0.284017i	$-0.0916671\pi$
$859$	8.12424	+	13.1211i	0.277195	+	0.447686i	−0.681624	+	0.731703i	$0.738726\pi$
$860$	−1.82045	−	9.73855i	−0.0620769	−	0.332082i
$861$	11.6236	+	12.7238i	0.396130	+	0.433625i
$862$	3.86051	−	2.39033i	0.131489	−	0.0814148i
$863$	1.05767	−	0.409744i	0.0360035	−	0.0139478i	−0.343173	−	0.939272i	$-0.611502\pi$
$863$	1.05767	−	0.409744i	0.0360035	−	0.0139478i	0.379176	+	0.925325i	$0.376207\pi$
$864$	19.2193	+	9.49512i	0.653853	+	0.323031i
$865$	−29.5520	−	26.9402i	−1.00480	−	0.915993i
$866$	−1.01251	+	10.9267i	−0.0344064	+	0.371304i
$867$	1.83480	−	20.0281i	0.0623132	−	0.680188i
$868$	3.61685	+	19.3485i	0.122764	+	0.656730i
$869$	10.0787	+	35.4231i	0.341898	+	1.20165i
$870$	−6.84071	+	13.7740i	−0.231922	+	0.466982i
$871$		−	68.5596i		−	2.32305i
$872$	−6.77456	−	23.8101i	−0.229416	−	0.806312i
$873$	10.5151	+	36.6659i	0.355882	+	1.24095i
$874$	−0.328190	−	0.203207i	−0.0111012	−	0.00687358i
$875$	7.33262	+	14.7259i	0.247888	+	0.497826i
$876$	0.00367314	+	3.52152i	0.000124104	+	0.118981i
$877$	−10.8619	+	17.5426i	−0.366781	+	0.592371i	−0.980349	−	0.197270i	$-0.936792\pi$
$877$	−10.8619	+	17.5426i	−0.366781	+	0.592371i	0.613568	+	0.789642i	$0.289734\pi$
$878$	10.0567	+	3.89600i	0.339399	+	0.131484i
$879$	−30.1451	−	5.60255i	−1.01677	−	0.188969i
$880$	26.2796			0.885886
$881$	12.0496			0.405962			0.202981	−	0.979183i	$-0.434937\pi$
$881$	12.0496			0.405962			0.202981	+	0.979183i	$0.434937\pi$
$882$	3.45197	+	2.59552i	0.116234	+	0.0873956i
$883$	48.5071	−	9.06755i	1.63239	−	0.305147i	0.713800	−	0.700350i	$-0.246973\pi$
$883$	48.5071	−	9.06755i	1.63239	−	0.305147i	0.918594	+	0.395203i	$0.129326\pi$
$884$	9.09812	+	23.4849i	0.306003	+	0.789884i
$885$	−29.0208	+	46.9796i	−0.975522	+	1.57920i
$886$	−3.80916	+	4.17845i	−0.127971	+	0.140378i
$887$	20.8462	+	15.7424i	0.699948	+	0.528576i	0.891565	−	0.452893i	$-0.149608\pi$
$887$	20.8462	+	15.7424i	0.699948	+	0.528576i	−0.191616	+	0.981470i	$0.561373\pi$
$888$	0.817348	−	8.92187i	0.0274284	−	0.299398i
$889$	19.7509	+	31.8988i	0.662424	+	1.06985i
$890$	−1.27215	+	3.28379i	−0.0426425	+	0.110073i
$891$	2.61890	−	29.6064i	0.0877364	−	0.991851i
$892$	16.5721	−	10.2610i	0.554876	−	0.343565i
$893$	−5.50194	−	3.40666i	−0.184115	−	0.113999i
$894$	4.59564	+	1.77485i	0.153701	+	0.0593599i
$895$	−1.06188	+	1.16483i	−0.0354947	+	0.0389359i
$896$	17.3168	+	4.92705i	0.578513	+	0.164601i
$897$	−6.79122	−	17.4760i	−0.226752	−	0.583507i
$898$	3.15577	+	3.46172i	0.105309	+	0.115519i
$899$	−24.4885	−	49.1796i	−0.816738	−	1.64023i
$900$	5.57248	−	5.10131i	0.185749	−	0.170044i
$901$	12.0679	+	9.11329i	0.402042	+	0.303608i
$902$	0.642614	−	6.93491i	0.0213967	−	0.230907i
$903$	−6.31523	+	1.80396i	−0.210158	+	0.0600320i
$904$	2.57398	−	1.28169i	0.0856091	−	0.0426283i
$905$	11.7309	−	8.85877i	0.389949	−	0.294475i
$906$	0.181433	−	1.98046i	0.00602771	−	0.0657963i
$907$	−17.7468	−	3.31746i	−0.589274	−	0.110154i	−0.119336	−	0.992854i	$-0.538077\pi$
$907$	−17.7468	−	3.31746i	−0.589274	−	0.110154i	−0.469938	+	0.882699i	$0.655724\pi$
$908$	−19.0120	−	11.7717i	−0.630934	−	0.390658i
$909$	10.8211	−	38.3358i	0.358912	−	1.27152i
$910$	9.97820	+	0.924616i	0.330774	+	0.0306507i
$911$	13.8132	−	48.5484i	0.457653	−	1.60848i	−0.298720	−	0.954341i	$-0.596560\pi$
$911$	13.8132	−	48.5484i	0.457653	−	1.60848i	0.756373	−	0.654141i	$-0.226970\pi$
$912$	−2.22074	−	2.02024i	−0.0735361	−	0.0668967i
$913$	33.4523	+	25.2620i	1.10711	+	0.836051i
$914$	14.5646	+	2.72259i	0.481754	+	0.0900554i
$915$	−6.16738	+	5.63410i	−0.203887	+	0.186258i
$916$	−10.2197	+	20.5240i	−0.337670	+	0.678132i
$917$	3.19190	−	0.908173i	0.105406	−	0.0299905i
$918$	−1.23923	+	4.40779i	−0.0409007	+	0.145479i
$919$	−6.94076	−	37.1298i	−0.228955	−	1.22480i	−0.883375	−	0.468667i	$-0.844734\pi$
$919$	−6.94076	−	37.1298i	−0.228955	−	1.22480i	0.654420	−	0.756131i	$-0.272913\pi$
$920$	6.71695	+	1.25562i	0.221451	+	0.0413964i
$921$	−2.84526	+	7.36727i	−0.0937545	+	0.242760i
$922$	7.14031	−	6.50925i	0.235153	−	0.214371i
$923$	−20.6745	−	27.3774i	−0.680509	−	0.901140i
$924$	−1.77399	−	18.9295i	−0.0583599	−	0.622733i
$925$	−4.29247	−	2.13740i	−0.141135	−	0.0702771i
$926$	−8.40447			−0.276188
$927$	23.0561	−	19.8850i	0.757263	−	0.653110i
$928$	−38.2734			−1.25639
$929$	18.2213	+	9.07313i	0.597822	+	0.297680i	0.719065	−	0.694943i	$-0.244570\pi$
$929$	18.2213	+	9.07313i	0.597822	+	0.297680i	−0.121243	+	0.992623i	$0.538688\pi$
$930$	−0.915991	−	9.77414i	−0.0300365	−	0.320507i
$931$	−1.25513	−	1.66206i	−0.0411353	−	0.0544719i
$932$	−30.0251	+	27.3715i	−0.983504	+	0.896582i
$933$	−2.63287	+	6.81731i	−0.0861962	+	0.223189i
$934$	14.3708	+	2.68636i	0.470226	+	0.0879004i
$935$	3.55151	+	18.9989i	0.116147	+	0.621331i
$936$	4.76971	+	25.2242i	0.155903	+	0.824480i
$937$	−11.6294	+	3.30884i	−0.379915	+	0.108095i	−0.458230	−	0.888834i	$-0.651516\pi$
$937$	−11.6294	+	3.30884i	−0.379915	+	0.108095i	0.0783155	+	0.996929i	$0.475046\pi$
$938$	3.55381	−	7.13702i	0.116036	−	0.233032i
$939$	−15.7649	+	14.4018i	−0.514470	+	0.469984i
$940$	54.1990	+	10.1315i	1.76778	+	0.330454i
$941$	34.0537	+	25.7161i	1.11012	+	0.838322i	0.988040	−	0.154199i	$-0.0492796\pi$
$941$	34.0537	+	25.7161i	1.11012	+	0.838322i	0.122078	+	0.992521i	$0.461044\pi$
$942$	0.0504483	+	0.0458934i	0.00164369	+	0.00149529i
$943$	−2.81514	+	9.89419i	−0.0916736	+	0.322199i
$944$	−39.7392	−	3.68238i	−1.29340	−	0.119851i
$945$	−17.3890	−	15.7529i	−0.565666	−	0.512440i
$946$	2.25668	+	1.39728i	0.0733710	+	0.0454294i
$947$	−28.0972	−	5.25227i	−0.913035	−	0.170676i	−0.293787	−	0.955871i	$-0.594916\pi$
$947$	−28.0972	−	5.25227i	−0.913035	−	0.170676i	−0.619248	+	0.785195i	$0.712563\pi$
$948$	−3.27044	+	35.6989i	−0.106219	+	1.15945i
$949$	−5.11089	+	3.85957i	−0.165907	+	0.125287i
$950$	0.253219	−	0.126088i	0.00821552	−	0.00409084i
$951$	44.1139	−	12.6012i	1.43049	−	0.408623i
$952$	−0.561466	+	6.05918i	−0.0181972	+	0.196379i
$953$	−12.7350	−	9.61702i	−0.412527	−	0.311526i	0.375893	−	0.926663i	$-0.377336\pi$
$953$	−12.7350	−	9.61702i	−0.412527	−	0.311526i	−0.788420	+	0.615137i	$0.789101\pi$
$954$	5.00955	+	5.47224i	0.162190	+	0.177170i
$955$	−5.25354	−	10.5505i	−0.170001	−	0.341407i
$956$	−20.8251	−	22.8441i	−0.673532	−	0.738830i
$957$	19.2212	+	49.4624i	0.621333	+	1.59889i
$958$	8.54456	+	2.43114i	0.276062	+	0.0785465i
$959$	−15.8123	+	17.3452i	−0.510605	+	0.560107i
$960$	19.3352	+	7.46731i	0.624041	+	0.241006i
$961$	3.45983	+	2.14224i	0.111607	+	0.0691044i
$962$	6.66782	−	4.12854i	0.214979	−	0.133109i
$963$	−9.34895	+	10.2984i	−0.301266	+	0.331861i
$964$	4.50846	−	11.6377i	0.145208	−	0.374825i
$965$	4.53068	+	7.31729i	0.145848	+	0.235552i
$966$	0.198914	−	2.17127i	0.00639994	−	0.0698594i
$967$	−42.4459	−	32.0536i	−1.36497	−	1.03078i	−0.994804	−	0.101808i	$-0.967537\pi$
$967$	−42.4459	−	32.0536i	−1.36497	−	1.03078i	−0.370163	−	0.928967i	$-0.620698\pi$
$968$	0.0925683	−	0.101543i	0.00297526	−	0.00326370i
$969$	1.16042	−	1.87851i	0.0372780	−	0.0603465i
$970$	−4.39597	−	11.3473i	−0.141146	−	0.364340i
$971$	43.3771	−	8.10858i	1.39204	−	0.260217i	0.566266	−	0.824222i	$-0.308387\pi$
$971$	43.3771	−	8.10858i	1.39204	−	0.260217i	0.825771	+	0.564006i	$0.190740\pi$
$972$	12.7603	−	25.9645i	0.409285	−	0.832813i
$973$	−3.34634			−0.107279
$974$	−9.33821			−0.299216
$975$	13.5085	+	2.51060i	0.432618	+	0.0804034i
$976$	−5.62960	−	2.18092i	−0.180199	−	0.0698095i
$977$	−6.41360	+	10.3583i	−0.205189	+	0.331392i	−0.936509	−	0.350642i	$-0.885963\pi$
$977$	−6.41360	+	10.3583i	−0.205189	+	0.331392i	0.731320	+	0.682034i	$0.238904\pi$
$978$	0.00152140	+	1.45860i	4.86491e−5	+	0.0466410i
$979$	5.41630	+	10.8774i	0.173106	+	0.347643i
$980$	15.0879	+	9.34203i	0.481965	+	0.298420i
$981$	−48.7717	+	13.9868i	−1.55716	+	0.446564i
$982$	−0.960968	−	3.37745i	−0.0306657	−	0.107779i
$983$		−	47.5048i		−	1.51517i	−0.652737	−	0.757585i	$-0.726379\pi$
$983$		−	47.5048i		−	1.51517i	0.652737	−	0.757585i	$-0.273621\pi$
$984$	6.26495	−	12.6147i	0.199719	−	0.402141i
$985$	13.4789	+	47.3733i	0.429472	+	1.50944i
$986$	−1.50212	−	8.03562i	−0.0478371	−	0.255906i
$987$	3.33468	−	36.4002i	0.106144	−	1.15863i
$988$	0.549784	−	5.93311i	0.0174910	−	0.188757i
$989$	−2.89719	−	2.64113i	−0.0921251	−	0.0839832i
$990$	0.0197809	+	9.48218i	0.000628679	+	0.301364i
$991$	41.9872	−	16.2659i	1.33377	−	0.516704i	0.414397	−	0.910096i	$-0.363993\pi$
$991$	41.9872	−	16.2659i	1.33377	−	0.516704i	0.919371	+	0.393392i	$0.128698\pi$
$992$	20.7717	−	12.8613i	0.659502	−	0.408347i
$993$	−14.5503	−	15.9275i	−0.461740	−	0.505445i
$994$	−0.733083	−	3.92165i	−0.0232520	−	0.124387i
$995$	−19.1870	−	30.9881i	−0.608269	−	0.982388i
$996$	21.5163	+	34.6691i	0.681770	+	1.09853i
$997$	−5.99322	+	0.555353i	−0.189807	+	0.0175882i	−0.186752	−	0.982407i	$-0.559796\pi$
$997$	−5.99322	+	0.555353i	−0.189807	+	0.0175882i	−0.00305525	+	0.999995i	$0.500973\pi$
$998$	7.09510	+	6.46804i	0.224591	+	0.204742i
$999$	−18.2896	−	1.63707i	−0.578656	−	0.0517947i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	309.2.k.a.197.19	yes	512
3.2	odd	2	inner	309.2.k.a.197.14	yes	512
103.80	odd	34	inner	309.2.k.a.80.14	✓	512
309.80	even	34	inner	309.2.k.a.80.19	yes	512

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
309.2.k.a.80.14	✓	512	103.80	odd	34	inner
309.2.k.a.80.19	yes	512	309.80	even	34	inner
309.2.k.a.197.14	yes	512	3.2	odd	2	inner
309.2.k.a.197.19	yes	512	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:	\( N \)	\(=\)	\( 309 = 3 \cdot 103 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	309.k (of order \(34\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(0.339807 + 0.169204i) q^{2} +(0.161612 + 1.72449i) q^{3} +(-1.11843 - 1.48104i) q^{4} +(1.86326 - 1.69858i) q^{5} +(-0.236874 + 0.613340i) q^{6} +(1.76047 + 0.329088i) q^{7} +(-0.268956 - 1.43879i) q^{8} +(-2.94776 + 0.557399i) q^{9} +O(q^{10})\)	\(q+(0.339807 + 0.169204i) q^{2} +(0.161612 + 1.72449i) q^{3} +(-1.11843 - 1.48104i) q^{4} +(1.86326 - 1.69858i) q^{5} +(-0.236874 + 0.613340i) q^{6} +(1.76047 + 0.329088i) q^{7} +(-0.268956 - 1.43879i) q^{8} +(-2.94776 + 0.557399i) q^{9} +(0.920554 - 0.261920i) q^{10} +(1.47203 - 2.95623i) q^{11} +(2.37330 - 2.16808i) q^{12} +(5.74661 + 1.07423i) q^{13} +(0.542536 + 0.409704i) q^{14} +(3.23032 + 2.93866i) q^{15} +(-0.863728 + 3.03569i) q^{16} +(-2.31139 - 0.214181i) q^{17} +(-1.09598 - 0.309364i) q^{18} +(0.466922 + 0.289106i) q^{19} +(-4.59959 - 0.859813i) q^{20} +(-0.282998 + 3.08910i) q^{21} +(1.00041 - 0.755473i) q^{22} +(-1.65750 + 0.825338i) q^{23} +(2.43772 - 0.696340i) q^{24} +(0.125200 - 1.35112i) q^{25} +(1.77097 + 1.33738i) q^{26} +(-1.43763 - 4.99332i) q^{27} +(-1.48157 - 2.97539i) q^{28} +(6.25004 + 6.85596i) q^{29} +(0.600453 + 1.54516i) q^{30} +(-5.69587 - 1.62062i) q^{31} +(-2.77934 + 3.04879i) q^{32} +(5.33589 + 2.06074i) q^{33} +(-0.749184 - 0.463875i) q^{34} +(3.83918 - 2.37712i) q^{35} +(4.12240 + 3.74235i) q^{36} +(1.27659 - 3.29526i) q^{37} +(0.109745 + 0.177245i) q^{38} +(-0.923776 + 10.0836i) q^{39} +(-2.94504 - 2.22399i) q^{40} +(3.74280 - 4.10565i) q^{41} +(-0.618852 + 1.00181i) q^{42} +(0.764844 + 1.97429i) q^{43} +(-6.02465 + 1.12620i) q^{44} +(-4.54565 + 6.04560i) q^{45} -0.702881 q^{46} -11.7834 q^{47} +(-5.37462 - 0.998889i) q^{48} +(-3.53636 - 1.36999i) q^{49} +(0.271158 - 0.437935i) q^{50} +(-0.00419369 - 4.02059i) q^{51} +(-4.83621 - 9.71241i) q^{52} +(-5.53888 - 3.42953i) q^{53} +(0.356373 - 1.94002i) q^{54} +(-2.27863 - 8.00856i) q^{55} -2.62145i q^{56} +(-0.423101 + 0.851928i) q^{57} +(0.963751 + 3.38723i) q^{58} +(2.32349 + 12.4296i) q^{59} +(0.739392 - 8.07093i) q^{60} +(-0.176496 + 1.90469i) q^{61} +(-1.66128 - 1.51446i) q^{62} +(-5.37287 + 0.0112084i) q^{63} +(4.42578 - 1.71456i) q^{64} +(12.5321 - 7.75953i) q^{65} +(1.46449 + 1.60311i) q^{66} +(-2.15489 - 11.5276i) q^{67} +(2.26791 + 3.66280i) q^{68} +(-1.69116 - 2.72497i) q^{69} +(1.70680 - 0.158158i) q^{70} +(-4.33671 - 3.95343i) q^{71} +(1.59480 + 4.09130i) q^{72} +(-0.738037 + 0.809588i) q^{73} +(0.991366 - 0.903749i) q^{74} +(2.35023 - 0.00245142i) q^{75} +(-0.0940421 - 1.01488i) q^{76} +(3.56431 - 4.71991i) q^{77} +(-2.02009 + 3.27017i) q^{78} +(-8.24146 + 7.51308i) q^{79} +(3.54702 + 7.12338i) q^{80} +(8.37861 - 3.28616i) q^{81} +(1.96652 - 0.761833i) q^{82} +(-2.33241 + 12.4773i) q^{83} +(4.89160 - 3.03581i) q^{84} +(-4.67051 + 3.52700i) q^{85} +(-0.0741579 + 0.800291i) q^{86} +(-10.8130 + 11.8862i) q^{87} +(-4.64930 - 1.32284i) q^{88} +(-2.21739 + 2.93629i) q^{89} +(-2.56758 + 1.28519i) q^{90} +(9.76319 + 3.78228i) q^{91} +(3.07616 + 1.53175i) q^{92} +(1.87422 - 10.0844i) q^{93} +(-4.00409 - 1.99380i) q^{94} +(1.36107 - 0.254427i) q^{95} +(-5.70681 - 4.30024i) q^{96} +(-1.17316 - 12.6604i) q^{97} +(-0.969872 - 1.06390i) q^{98} +(-2.69138 + 9.53476i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 512 q - 17 q^{3} - 2 q^{4} - 17 q^{6} - 18 q^{7} - 13 q^{9}+O(q^{10}) \) 512 * q - 17 * q^3 - 2 * q^4 - 17 * q^6 - 18 * q^7 - 13 * q^9	\( 512 q - 17 q^{3} - 2 q^{4} - 17 q^{6} - 18 q^{7} - 13 q^{9} + 34 q^{10} - 17 q^{12} - 38 q^{13} - 23 q^{15} - 50 q^{16} + 5 q^{18} - 22 q^{19} - 51 q^{21} - 34 q^{22} - 17 q^{24} + 6 q^{25} - 17 q^{27} - 152 q^{28} - 21 q^{30} - 34 q^{31} - 11 q^{33} - 128 q^{34} + 149 q^{36} + 68 q^{37} + 119 q^{39} - 34 q^{40} - 17 q^{42} - 34 q^{43} - 17 q^{45} - 96 q^{46} - 187 q^{48} - 34 q^{49} - 17 q^{51} + 2 q^{52} - 17 q^{54} - 80 q^{55} - 14 q^{58} - 172 q^{60} - 38 q^{61} - 61 q^{63} + 56 q^{64} + 101 q^{66} - 136 q^{67} + 119 q^{69} - 34 q^{70} - 101 q^{72} - 136 q^{73} - 255 q^{75} - 114 q^{76} - 17 q^{78} - 54 q^{79} - 5 q^{81} - 66 q^{82} - 17 q^{84} - 17 q^{87} - 17 q^{90} + 244 q^{91} + 35 q^{93} - 34 q^{94} - 17 q^{96} + 236 q^{97} - 17 q^{99}+O(q^{100}) \) 512 * q - 17 * q^3 - 2 * q^4 - 17 * q^6 - 18 * q^7 - 13 * q^9 + 34 * q^10 - 17 * q^12 - 38 * q^13 - 23 * q^15 - 50 * q^16 + 5 * q^18 - 22 * q^19 - 51 * q^21 - 34 * q^22 - 17 * q^24 + 6 * q^25 - 17 * q^27 - 152 * q^28 - 21 * q^30 - 34 * q^31 - 11 * q^33 - 128 * q^34 + 149 * q^36 + 68 * q^37 + 119 * q^39 - 34 * q^40 - 17 * q^42 - 34 * q^43 - 17 * q^45 - 96 * q^46 - 187 * q^48 - 34 * q^49 - 17 * q^51 + 2 * q^52 - 17 * q^54 - 80 * q^55 - 14 * q^58 - 172 * q^60 - 38 * q^61 - 61 * q^63 + 56 * q^64 + 101 * q^66 - 136 * q^67 + 119 * q^69 - 34 * q^70 - 101 * q^72 - 136 * q^73 - 255 * q^75 - 114 * q^76 - 17 * q^78 - 54 * q^79 - 5 * q^81 - 66 * q^82 - 17 * q^84 - 17 * q^87 - 17 * q^90 + 244 * q^91 + 35 * q^93 - 34 * q^94 - 17 * q^96 + 236 * q^97 - 17 * q^99

Introduction

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