LMFDB - Embedded newform 605.2.s.b.16.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [605,2,Mod(16,605)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(605, base_ring=CyclotomicField(110))

chi = DirichletCharacter(H, H._module([0, 4]))

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

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

chi := DirichletCharacter("605.16");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 605 = 5 \cdot 11^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	605.s (of order $55$, degree $40$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.83094932229$
Analytic rank:	$0$
Dimension:	$880$
Relative dimension:	$22$ over $\Q(\zeta_{55})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label			16.14
Character	$\chi$	$=$	605.16
Dual form			605.2.s.b.416.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.25197 + 0.143650i) q^{2} +(0.302448 + 0.219741i) q^{3} +(-0.401226 - 0.0933012i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.347090 + 0.318557i) q^{6} +(-2.98838 - 3.07497i) q^{7} +(-2.86272 - 1.02142i) q^{8} +(-0.883862 - 2.72025i) q^{9} +O(q^{10})$	\(q+(1.25197 + 0.143650i) q^{2} +(0.302448 + 0.219741i) q^{3} +(-0.401226 - 0.0933012i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.347090 + 0.318557i) q^{6} +(-2.98838 - 3.07497i) q^{7} +(-2.86272 - 1.02142i) q^{8} +(-0.883862 - 2.72025i) q^{9} +(-0.825246 + 0.952385i) q^{10} +(2.93189 - 1.55048i) q^{11} +(-0.100848 - 0.116385i) q^{12} +(-2.19803 + 3.64502i) q^{13} +(-3.29965 - 4.27906i) q^{14} +(-0.352105 + 0.125631i) q^{15} +(-2.69798 - 1.32651i) q^{16} +(4.31459 - 3.52802i) q^{17} +(-0.715806 - 3.53264i) q^{18} +(-6.44509 - 0.368544i) q^{19} +(0.303487 - 0.278538i) q^{20} +(-0.228131 - 1.58669i) q^{21} +(3.89338 - 1.51999i) q^{22} +(0.376659 - 2.61972i) q^{23} +(-0.641376 - 0.937983i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-3.27548 + 4.24772i) q^{26} +(0.677003 - 2.08360i) q^{27} +(0.912118 + 1.51258i) q^{28} +(-0.678338 + 1.74230i) q^{29} +(-0.458872 + 0.106706i) q^{30} +(-8.04170 - 3.39845i) q^{31} +(1.92671 + 1.23822i) q^{32} +(1.22745 + 0.175318i) q^{33} +(5.90854 - 3.79719i) q^{34} +(4.22507 - 0.731177i) q^{35} +(0.100826 + 1.17390i) q^{36} +(-0.534341 + 6.22122i) q^{37} +(-8.01613 - 1.38725i) q^{38} +(-1.46575 + 0.619432i) q^{39} +(2.45899 - 1.78656i) q^{40} +(7.43786 - 4.20035i) q^{41} +(-0.0576856 - 2.01926i) q^{42} +(8.97510 - 2.63533i) q^{43} +(-1.32101 + 0.348545i) q^{44} +(2.74438 + 0.805822i) q^{45} +(0.847891 - 3.22571i) q^{46} +(-1.20826 + 5.96301i) q^{47} +(-0.524511 - 0.994058i) q^{48} +(-0.325135 + 11.3812i) q^{49} +(-0.320362 - 1.21878i) q^{50} +(2.08019 - 0.118950i) q^{51} +(1.22199 - 1.25740i) q^{52} +(6.58574 - 3.23799i) q^{53} +(1.14690 - 2.51136i) q^{54} +(-0.375009 + 3.29536i) q^{55} +(5.41407 + 11.8552i) q^{56} +(-1.86832 - 1.52772i) q^{57} +(-1.09954 + 2.08386i) q^{58} +(-5.44877 - 3.07706i) q^{59} +(0.152995 - 0.0175546i) q^{60} +(-2.29992 + 0.263891i) q^{61} +(-9.57980 - 5.40996i) q^{62} +(-5.72337 + 10.8470i) q^{63} +(6.88915 + 5.63323i) q^{64} +(-1.76820 - 3.87182i) q^{65} +(1.51155 + 0.395817i) q^{66} +(-0.627464 + 1.37396i) q^{67} +(-2.06029 + 1.01298i) q^{68} +(0.689581 - 0.709562i) q^{69} +(5.39470 - 0.308480i) q^{70} +(0.738873 + 2.81097i) q^{71} +(-0.248256 + 8.69010i) q^{72} +(-7.58811 - 14.3811i) q^{73} +(-1.56266 + 7.71204i) q^{74} +(0.0950386 - 0.361564i) q^{75} +(2.55155 + 0.749204i) q^{76} +(-13.5293 - 4.38206i) q^{77} +(-1.92406 + 0.564956i) q^{78} +(-0.0204034 - 0.714211i) q^{79} +(2.61785 - 1.47837i) q^{80} +(-6.27933 + 4.56220i) q^{81} +(9.91537 - 4.19027i) q^{82} +(-4.14550 - 0.717406i) q^{83} +(-0.0565076 + 0.657906i) q^{84} +(0.476942 + 5.55294i) q^{85} +(11.6151 - 2.01008i) q^{86} +(-0.588017 + 0.377896i) q^{87} +(-9.97688 + 1.44391i) q^{88} +(-14.4876 - 9.31059i) q^{89} +(3.32013 + 1.40310i) q^{90} +(17.7769 - 4.13384i) q^{91} +(-0.395549 + 1.01596i) q^{92} +(-1.68542 - 2.79495i) q^{93} +(-2.36930 + 7.29195i) q^{94} +(3.94211 - 5.11222i) q^{95} +(0.310640 + 0.797874i) q^{96} +(8.95287 + 13.0932i) q^{97} +(-2.04197 + 14.2022i) q^{98} +(-6.80909 - 6.60507i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) $ 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9 - 6 * q^10 + 5 * q^11 - 5 * q^12 - 26 * q^13 - 108 * q^14 - 12 * q^15 + 34 * q^16 - q^17 - 14 * q^18 + q^19 + 19 * q^20 - 10 * q^21 + 275 * q^22 - 51 * q^23 + 283 * q^24 + 22 * q^25 - 16 * q^27 - 4 * q^28 - 19 * q^29 + q^30 - 34 * q^31 - 122 * q^32 + 19 * q^33 + 52 * q^34 + 8 * q^35 - 21 * q^36 - 109 * q^37 - 10 * q^38 - 9 * q^39 - 64 * q^40 + 4 * q^41 - 49 * q^42 - 97 * q^43 + 17 * q^44 - 80 * q^45 - 91 * q^46 + 166 * q^47 - 159 * q^48 + 175 * q^49 + 4 * q^50 - 112 * q^51 - 128 * q^52 - 141 * q^53 - 37 * q^54 - 5 * q^55 + 79 * q^56 - 204 * q^57 - 190 * q^58 + 9 * q^59 - 22 * q^60 + 2 * q^61 - 105 * q^62 - q^63 - 176 * q^64 - 14 * q^65 - 112 * q^66 - 13 * q^67 - 35 * q^68 - 53 * q^69 + 24 * q^70 - 50 * q^71 + 705 * q^72 + q^73 + 40 * q^74 - q^75 - 148 * q^76 - 104 * q^77 - 187 * q^78 - 83 * q^79 - q^80 - 238 * q^81 - 54 * q^82 - 151 * q^83 + 4 * q^84 - 29 * q^85 - 39 * q^86 - 74 * q^87 - 143 * q^88 - 52 * q^89 - 28 * q^90 - 188 * q^91 - 253 * q^92 + 122 * q^93 - 187 * q^94 + 122 * q^95 - 155 * q^96 + 283 * q^97 - 92 * q^98 + 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/605\mathbb{Z}\right)^\times$.

$n$	$122$	$486$
$\chi(n)$	$1$	$e\left(\frac{2}{55}\right)$

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 $

$2$	1.25197	+	0.143650i	0.885278	+	0.101576i	0.544691	−	0.838637i	$-0.316647\pi$
$2$	1.25197	+	0.143650i	0.885278	+	0.101576i	0.340587	+	0.940213i	$0.389374\pi$
$3$	0.302448	+	0.219741i	0.174618	+	0.126868i	0.671662	−	0.740858i	$-0.265581\pi$
$3$	0.302448	+	0.219741i	0.174618	+	0.126868i	−0.497043	+	0.867726i	$0.665581\pi$
$4$	−0.401226	−	0.0933012i	−0.200613	−	0.0466506i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$5$	−0.564443	+	0.825472i	−0.252427	+	0.369162i
$6$	0.347090	+	0.318557i	0.141699	+	0.130050i
$7$	−2.98838	−	3.07497i	−1.12950	−	1.16223i	−0.984969	−	0.172729i	$-0.944742\pi$
$7$	−2.98838	−	3.07497i	−1.12950	−	1.16223i	−0.144532	−	0.989500i	$-0.546168\pi$
$8$	−2.86272	−	1.02142i	−1.01212	−	0.361125i
$9$	−0.883862	−	2.72025i	−0.294621	−	0.906750i
$10$	−0.825246	+	0.952385i	−0.260966	+	0.301171i
$11$	2.93189	−	1.55048i	0.884000	−	0.467488i
$11$	2.93189	−	1.55048i	0.884000	−	0.467488i
$12$	−0.100848	−	0.116385i	−0.0291123	−	0.0335974i
$13$	−2.19803	+	3.64502i	−0.609624	+	1.01095i	0.386440	+	0.922314i	$0.373705\pi$
$13$	−2.19803	+	3.64502i	−0.609624	+	1.01095i	−0.996064	+	0.0886335i	$0.971750\pi$
$14$	−3.29965	−	4.27906i	−0.881867	−	1.14363i
$15$	−0.352105	+	0.125631i	−0.0909131	+	0.0324377i
$16$	−2.69798	−	1.32651i	−0.674496	−	0.331627i
$17$	4.31459	−	3.52802i	1.04644	−	0.855671i	0.0566781	−	0.998393i	$-0.481949\pi$
$17$	4.31459	−	3.52802i	1.04644	−	0.855671i	0.989763	+	0.142722i	$0.0455855\pi$
$18$	−0.715806	−	3.53264i	−0.168717	−	0.832652i
$19$	−6.44509	−	0.368544i	−1.47861	−	0.0845497i	−0.700936	−	0.713224i	$-0.747234\pi$
$19$	−6.44509	−	0.368544i	−1.47861	−	0.0845497i	−0.777669	+	0.628674i	$0.783598\pi$
$20$	0.303487	−	0.278538i	0.0678617	−	0.0622829i
$21$	−0.228131	−	1.58669i	−0.0497823	−	0.346244i
$22$	3.89338	−	1.51999i	0.830071	−	0.324063i
$23$	0.376659	−	2.61972i	0.0785389	−	0.546250i	−0.912124	−	0.409915i	$-0.865558\pi$
$23$	0.376659	−	2.61972i	0.0785389	−	0.546250i	0.990663	−	0.136335i	$-0.0435325\pi$
$24$	−0.641376	−	0.937983i	−0.130920	−	0.191465i
$25$	−0.362808	−	0.931864i	−0.0725615	−	0.186373i
$26$	−3.27548	+	4.24772i	−0.642375	+	0.833046i
$27$	0.677003	−	2.08360i	0.130289	−	0.400989i
$28$	0.912118	+	1.51258i	0.172374	+	0.285850i
$29$	−0.678338	+	1.74230i	−0.125964	+	0.323537i	−0.980698	−	0.195531i	$-0.937357\pi$
$29$	−0.678338	+	1.74230i	−0.125964	+	0.323537i	0.854733	+	0.519067i	$0.173721\pi$
$30$	−0.458872	+	0.106706i	−0.0837783	+	0.0194818i
$31$	−8.04170	−	3.39845i	−1.44433	−	0.610380i	−0.480526	−	0.876981i	$-0.659554\pi$
$31$	−8.04170	−	3.39845i	−1.44433	−	0.610380i	−0.963807	+	0.266600i	$0.914100\pi$
$32$	1.92671	+	1.23822i	0.340597	+	0.218888i
$33$	1.22745	+	0.175318i	0.213672	+	0.0305190i
$34$	5.90854	−	3.79719i	1.01331	−	0.651213i
$35$	4.22507	−	0.731177i	0.714167	−	0.123592i
$36$	0.100826	+	1.17390i	0.0168044	+	0.195650i
$37$	−0.534341	+	6.22122i	−0.0878452	+	1.02276i	0.811160	+	0.584824i	$0.198837\pi$
$37$	−0.534341	+	6.22122i	−0.0878452	+	1.02276i	−0.899005	+	0.437938i	$0.855709\pi$
$38$	−8.01613	−	1.38725i	−1.30039	−	0.225041i
$39$	−1.46575	+	0.619432i	−0.234708	+	0.0991885i
$40$	2.45899	−	1.78656i	0.388801	−	0.282480i
$41$	7.43786	−	4.20035i	1.16160	−	0.655985i	0.214436	−	0.976738i	$-0.431209\pi$
$41$	7.43786	−	4.20035i	1.16160	−	0.655985i	0.947163	+	0.320753i	$0.103936\pi$
$42$	−0.0576856	−	2.01926i	−0.00890108	−	0.311579i
$43$	8.97510	−	2.63533i	1.36869	−	0.401883i	0.486871	−	0.873474i	$-0.338138\pi$
$43$	8.97510	−	2.63533i	1.36869	−	0.401883i	0.881818	+	0.471590i	$0.156320\pi$
$44$	−1.32101	+	0.348545i	−0.199150	+	0.0525451i
$45$	2.74438	+	0.805822i	0.409108	+	0.120125i
$46$	0.847891	−	3.22571i	0.125015	−	0.475605i
$47$	−1.20826	+	5.96301i	−0.176243	+	0.869794i	0.790187	+	0.612865i	$0.209983\pi$
$47$	−1.20826	+	5.96301i	−0.176243	+	0.869794i	−0.966430	+	0.256928i	$0.917290\pi$
$48$	−0.524511	−	0.994058i	−0.0757066	−	0.143480i
$49$	−0.325135	+	11.3812i	−0.0464478	+	1.62589i
$50$	−0.320362	−	1.21878i	−0.0453061	−	0.172362i
$51$	2.08019	−	0.118950i	0.291285	−	0.0166563i
$52$	1.22199	−	1.25740i	0.169460	−	0.174370i
$53$	6.58574	−	3.23799i	0.904621	−	0.444772i	0.0712323	−	0.997460i	$-0.477307\pi$
$53$	6.58574	−	3.23799i	0.904621	−	0.444772i	0.833388	+	0.552688i	$0.186398\pi$
$54$	1.14690	−	2.51136i	0.156073	−	0.341753i
$55$	−0.375009	+	3.29536i	−0.0505662	+	0.444346i
$56$	5.41407	+	11.8552i	0.723485	+	1.58421i
$57$	−1.86832	−	1.52772i	−0.247465	−	0.202351i
$58$	−1.09954	+	2.08386i	−0.144377	+	0.273625i
$59$	−5.44877	−	3.07706i	−0.709369	−	0.400599i	0.0944048	−	0.995534i	$-0.469905\pi$
$59$	−5.44877	−	3.07706i	−0.709369	−	0.400599i	−0.803774	+	0.594935i	$0.797178\pi$
$60$	0.152995	−	0.0175546i	0.0197516	−	0.00226629i
$61$	−2.29992	+	0.263891i	−0.294475	+	0.0337878i	−0.259970	−	0.965617i	$-0.583713\pi$
$61$	−2.29992	+	0.263891i	−0.294475	+	0.0337878i	−0.0345047	+	0.999405i	$0.510985\pi$
$62$	−9.57980	−	5.40996i	−1.21664	−	0.687066i
$63$	−5.72337	+	10.8470i	−0.721076	+	1.36659i
$64$	6.88915	+	5.63323i	0.861143	+	0.704153i
$65$	−1.76820	−	3.87182i	−0.219318	−	0.480240i
$66$	1.51155	+	0.395817i	0.186059	+	0.0487217i
$67$	−0.627464	+	1.37396i	−0.0766570	+	0.167855i	−0.944080	−	0.329715i	$-0.893047\pi$
$67$	−0.627464	+	1.37396i	−0.0766570	+	0.167855i	0.867423	+	0.497571i	$0.165774\pi$
$68$	−2.06029	+	1.01298i	−0.249847	+	0.122842i
$69$	0.689581	−	0.709562i	0.0830158	−	0.0854213i
$70$	5.39470	−	0.308480i	0.644790	−	0.0368704i
$71$	0.738873	+	2.81097i	0.0876881	+	0.333600i	0.996499	−	0.0836088i	$-0.0266446\pi$
$71$	0.738873	+	2.81097i	0.0876881	+	0.333600i	−0.908811	+	0.417209i	$0.863008\pi$
$72$	−0.248256	+	8.69010i	−0.0292573	+	1.02414i
$73$	−7.58811	−	14.3811i	−0.888121	−	1.68318i	−0.716000	−	0.698100i	$-0.754029\pi$
$73$	−7.58811	−	14.3811i	−0.888121	−	1.68318i	−0.172120	−	0.985076i	$-0.555062\pi$
$74$	−1.56266	+	7.71204i	−0.181656	+	0.896506i
$75$	0.0950386	−	0.361564i	0.0109741	−	0.0417498i
$76$	2.55155	+	0.749204i	0.292683	+	0.0859396i
$77$	−13.5293	−	4.38206i	−1.54181	−	0.499382i
$78$	−1.92406	+	0.564956i	−0.217857	+	0.0639686i
$79$	−0.0204034	−	0.714211i	−0.00229556	−	0.0803550i	−0.999932	−	0.0116445i	$-0.996293\pi$
$79$	−0.0204034	−	0.714211i	−0.00229556	−	0.0803550i	0.997637	−	0.0687105i	$-0.0218885\pi$
$80$	2.61785	−	1.47837i	0.292685	−	0.165287i
$81$	−6.27933	+	4.56220i	−0.697704	+	0.506911i
$82$	9.91537	−	4.19027i	1.09497	−	0.462738i
$83$	−4.14550	−	0.717406i	−0.455027	−	0.0787456i	−0.0615992	−	0.998101i	$-0.519620\pi$
$83$	−4.14550	−	0.717406i	−0.455027	−	0.0787456i	−0.393428	+	0.919355i	$0.628711\pi$
$84$	−0.0565076	+	0.657906i	−0.00616548	+	0.0717834i
$85$	0.476942	+	5.55294i	0.0517316	+	0.602301i
$86$	11.6151	−	2.01008i	1.25249	−	0.216752i
$87$	−0.588017	+	0.377896i	−0.0630420	+	0.0405147i
$88$	−9.97688	+	1.44391i	−1.06354	+	0.153921i
$89$	−14.4876	−	9.31059i	−1.53568	−	0.986921i	−0.988723	−	0.149759i	$-0.952150\pi$
$89$	−14.4876	−	9.31059i	−1.53568	−	0.986921i	−0.546956	−	0.837162i	$-0.684213\pi$
$90$	3.32013	+	1.40310i	0.349972	+	0.147900i
$91$	17.7769	−	4.13384i	1.86352	−	0.433344i
$92$	−0.395549	+	1.01596i	−0.0412388	+	0.105921i
$93$	−1.68542	−	2.79495i	−0.174770	−	0.289823i
$94$	−2.36930	+	7.29195i	−0.244374	+	0.752107i
$95$	3.94211	−	5.11222i	0.404452	−	0.524503i
$96$	0.310640	+	0.797874i	0.0317046	+	0.0814326i
$97$	8.95287	+	13.0932i	0.909027	+	1.32941i	0.943974	+	0.330020i	$0.107055\pi$
$97$	8.95287	+	13.0932i	0.909027	+	1.32941i	−0.0349475	+	0.999389i	$0.511126\pi$
$98$	−2.04197	+	14.2022i	−0.206270	+	1.43464i
$99$	−6.80909	−	6.60507i	−0.684339	−	0.663835i
$100$	0.0586240	+	0.407739i	0.00586240	+	0.0407739i
$101$	2.14180	−	1.96572i	0.213117	−	0.195597i	−0.562507	−	0.826793i	$-0.690163\pi$
$101$	2.14180	−	1.96572i	0.213117	−	0.195597i	0.775623	+	0.631196i	$0.217436\pi$
$102$	2.62143	+	0.149899i	0.259560	+	0.0148422i
$103$	−1.63733	−	8.08056i	−0.161331	−	0.796202i	−0.976254	−	0.216631i	$-0.930493\pi$
$103$	−1.63733	−	8.08056i	−0.161331	−	0.796202i	0.814922	−	0.579570i	$-0.196780\pi$
$104$	10.0154	−	8.18958i	0.982094	−	0.803054i
$105$	1.43853	+	0.707280i	0.140387	+	0.0690234i
$106$	8.71030	−	3.10783i	0.846019	−	0.301859i
$107$	4.81353	+	6.24230i	0.465341	+	0.603465i	0.964836	−	0.262851i	$-0.0846629\pi$
$107$	4.81353	+	6.24230i	0.465341	+	0.603465i	−0.499495	+	0.866317i	$0.666481\pi$
$108$	−0.466034	+	0.772831i	−0.0448441	+	0.0743657i
$109$	9.00596	+	10.3934i	0.862615	+	0.995511i	0.999988	+	0.00499122i	$0.00158876\pi$
$109$	9.00596	+	10.3934i	0.862615	+	0.995511i	−0.137373	+	0.990519i	$0.543866\pi$
$110$	−0.942880	+	4.07182i	−0.0899000	+	0.388233i
$111$	−1.52867	+	1.76418i	−0.145095	+	0.167449i
$112$	3.98362	+	12.2603i	0.376417	+	1.15849i
$113$	10.9641	+	3.91197i	1.03141	+	0.368007i	0.796903	−	0.604107i	$-0.206470\pi$
$113$	10.9641	+	3.91197i	1.03141	+	0.368007i	0.234508	+	0.972114i	$0.424652\pi$
$114$	−2.11963	−	2.18104i	−0.198521	−	0.204274i
$115$	1.94991	+	1.78961i	0.181830	+	0.166882i
$116$	0.434726	−	0.635766i	0.0403633	−	0.0590294i
$117$	11.8581	+	2.75749i	1.09628	+	0.254930i
$118$	−6.37968	−	4.63511i	−0.587297	−	0.426697i
$119$	−23.7422	−	2.72416i	−2.17644	−	0.249723i
$120$	1.13630			0.103729
$121$	6.19201	−	9.09170i	0.562910	−	0.826518i
$122$	−2.91734			−0.264124
$123$	3.17256	+	0.364017i	0.286060	+	0.0328223i
$124$	2.90946	+	2.11385i	0.261278	+	0.189829i
$125$	0.974012	+	0.226497i	0.0871183	+	0.0202585i
$126$	−8.72366	+	12.7580i	−0.777166	+	1.13657i
$127$	−8.03764	−	7.37688i	−0.713225	−	0.654592i	0.235071	−	0.971978i	$-0.424468\pi$
$127$	−8.03764	−	7.37688i	−0.713225	−	0.654592i	−0.948296	+	0.317386i	$0.897195\pi$
$128$	4.62344	+	4.75740i	0.408658	+	0.420499i
$129$	3.29359	+	1.17515i	0.289984	+	0.103466i
$130$	−1.65755	−	5.10141i	−0.145377	−	0.447424i
$131$	9.24362	−	10.6677i	0.807619	−	0.932042i	−0.191154	−	0.981560i	$-0.561223\pi$
$131$	9.24362	−	10.6677i	0.807619	−	0.932042i	0.998773	+	0.0495180i	$0.0157685\pi$
$132$	−0.476128	−	0.184865i	−0.0414416	−	0.0160904i
$133$	18.1271	+	20.9198i	1.57182	+	1.81398i
$134$	−0.982937	+	1.63002i	−0.0849128	+	0.140812i
$135$	1.33782	+	1.73492i	0.115142	+	0.149318i
$136$	−15.9550	+	5.69274i	−1.36813	+	0.488149i
$137$	6.49553	+	3.19364i	0.554951	+	0.272851i	0.697075	−	0.716998i	$-0.254484\pi$
$137$	6.49553	+	3.19364i	0.554951	+	0.272851i	−0.142125	+	0.989849i	$0.545393\pi$
$138$	0.965265	−	0.789293i	0.0821688	−	0.0671891i
$139$	−3.95616	−	19.5244i	−0.335557	−	1.65604i	−0.692130	−	0.721772i	$-0.743328\pi$
$139$	−3.95616	−	19.5244i	−0.335557	−	1.65604i	0.356573	−	0.934267i	$-0.383945\pi$
$140$	−1.76343	−	0.100837i	−0.149037	−	0.00852224i
$141$	−1.67575	+	1.53799i	−0.141124	+	0.129522i
$142$	0.521252	+	3.62539i	0.0437425	+	0.304236i
$143$	−0.792851	+	14.0948i	−0.0663015	+	1.17867i
$144$	−1.22379	+	8.51164i	−0.101982	+	0.709303i
$145$	−1.05533	−	1.54338i	−0.0876408	−	0.128171i
$146$	−7.43425	−	19.0947i	−0.615263	−	1.58029i
$147$	−2.59926	+	3.37078i	−0.214383	+	0.278017i
$148$	0.794839	−	2.44626i	0.0653354	−	0.201082i
$149$	−0.141580	−	0.234784i	−0.0115987	−	0.0192343i	0.850496	−	0.525982i	$-0.176302\pi$
$149$	−0.141580	−	0.234784i	−0.0115987	−	0.0192343i	−0.862094	+	0.506748i	$0.830848\pi$
$150$	0.170924	−	0.439016i	0.0139559	−	0.0358455i
$151$	1.06079	−	0.246676i	0.0863260	−	0.0200742i	−0.183111	−	0.983092i	$-0.558617\pi$
$151$	1.06079	−	0.246676i	0.0863260	−	0.0200742i	0.269437	+	0.963018i	$0.413162\pi$
$152$	18.0740	+	7.63816i	1.46600	+	0.619536i
$153$	−13.4106	−	8.61847i	−1.08418	−	0.696762i
$154$	−16.3088	−	7.42970i	−1.31420	−	0.598702i
$155$	7.34441	−	4.71997i	0.589917	−	0.379117i
$156$	0.645892	−	0.111776i	0.0517128	−	0.00894925i
$157$	−1.84150	−	21.4402i	−0.146968	−	1.71111i	−0.584072	−	0.811702i	$-0.698542\pi$
$157$	−1.84150	−	21.4402i	−0.146968	−	1.71111i	0.437105	−	0.899411i	$-0.356004\pi$
$158$	0.0770522	−	0.897103i	0.00612995	−	0.0713697i
$159$	2.70336	+	0.467835i	0.214391	+	0.0371018i
$160$	−2.10963	+	0.891537i	−0.166781	+	0.0704822i
$161$	−9.18117	+	6.67051i	−0.723577	+	0.525710i
$162$	−8.51691	+	4.80972i	−0.669152	+	0.377887i
$163$	0.372377	+	13.0349i	0.0291668	+	1.02097i	0.873996	+	0.485934i	$0.161520\pi$
$163$	0.372377	+	13.0349i	0.0291668	+	1.02097i	−0.844829	+	0.535037i	$0.820298\pi$
$164$	−3.37616	+	0.991331i	−0.263634	+	0.0774099i
$165$	−0.837547	+	0.914269i	−0.0652029	+	0.0711757i
$166$	−5.08699	−	1.49367i	−0.394827	−	0.115932i
$167$	2.51312	−	9.56091i	0.194471	−	0.739845i	−0.796370	−	0.604810i	$-0.793249\pi$
$167$	2.51312	−	9.56091i	0.194471	−	0.739845i	0.990841	−	0.135035i	$-0.0431147\pi$
$168$	−0.967593	+	4.77526i	−0.0746514	+	0.368419i
$169$	−2.38819	−	4.52612i	−0.183707	−	0.348163i
$170$	−0.200563	+	7.02063i	−0.0153825	+	0.538458i
$171$	4.69404	+	17.8580i	0.358962	+	1.36563i
$172$	−3.84692	+	0.219975i	−0.293325	+	0.0167729i
$173$	5.30145	−	5.45506i	0.403062	−	0.414741i	−0.484964	−	0.874534i	$-0.661167\pi$
$173$	5.30145	−	5.45506i	0.403062	−	0.414741i	0.888026	+	0.459793i	$0.152076\pi$
$174$	−0.790465	+	0.388646i	−0.0599250	+	0.0294632i
$175$	−1.78125	+	3.90039i	−0.134650	+	0.294841i
$176$	−9.96693	+	0.293989i	−0.751286	+	0.0221602i
$177$	−0.971812	−	2.12797i	−0.0730458	−	0.159948i
$178$	−16.8005	−	13.7377i	−1.25925	−	1.02969i
$179$	2.00932	−	3.80808i	0.150183	−	0.284629i	−0.797816	−	0.602901i	$-0.794011\pi$
$179$	2.00932	−	3.80808i	0.150183	−	0.284629i	0.948000	+	0.318272i	$0.103102\pi$
$180$	−1.02593	−	0.579371i	−0.0764685	−	0.0431838i
$181$	−5.43401	+	0.623494i	−0.403907	+	0.0463440i	−0.313565	−	0.949567i	$-0.601523\pi$
$181$	−5.43401	+	0.623494i	−0.403907	+	0.0463440i	−0.0903420	+	0.995911i	$0.528796\pi$
$182$	22.8500	−	2.62179i	1.69375	−	0.194340i
$183$	−0.753594	−	0.425574i	−0.0557073	−	0.0314593i
$184$	−3.75410	+	7.11481i	−0.276756	+	0.524510i
$185$	−4.83384	−	3.95261i	−0.355391	−	0.290602i
$186$	−1.70860	−	3.74131i	−0.125281	−	0.274326i
$187$	7.17978	−	17.0335i	0.525038	−	1.24561i
$188$	1.04114	−	2.27978i	0.0759331	−	0.166270i
$189$	−8.43015	+	4.14483i	−0.613203	+	0.301492i
$190$	5.66978	−	5.83407i	0.411329	−	0.423248i
$191$	−4.65444	+	0.266151i	−0.336784	+	0.0192580i	−0.224663	−	0.974437i	$-0.572128\pi$
$191$	−4.65444	+	0.266151i	−0.336784	+	0.0192580i	−0.112121	+	0.993695i	$0.535764\pi$
$192$	0.845756	+	3.21759i	0.0610372	+	0.232209i
$193$	0.781651	−	27.3613i	0.0562645	−	1.96951i	−0.143446	−	0.989658i	$-0.545818\pi$
$193$	0.781651	−	27.3613i	0.0562645	−	1.96951i	0.199711	−	0.979855i	$-0.436000\pi$
$194$	9.32791	+	17.6783i	0.669705	+	1.26923i
$195$	0.316010	−	1.55957i	0.0226300	−	0.111683i
$196$	1.19233	−	4.53610i	0.0851666	−	0.324007i
$197$	18.0462	+	5.29884i	1.28574	+	0.377527i	0.852014	−	0.523519i	$-0.175381\pi$
$197$	18.0462	+	5.29884i	1.28574	+	0.377527i	0.433724	+	0.901046i	$0.357199\pi$
$198$	−7.57596	−	9.24749i	−0.538400	−	0.657190i
$199$	3.01209	−	0.884428i	0.213521	−	0.0626955i	−0.173223	−	0.984883i	$-0.555418\pi$
$199$	3.01209	−	0.884428i	0.213521	−	0.0626955i	0.386744	+	0.922187i	$0.373600\pi$
$200$	0.0867956	+	3.03824i	0.00613738	+	0.214836i
$201$	−0.491690	+	0.277670i	−0.0346811	+	0.0195853i
$202$	2.96384	−	2.15336i	0.208535	−	0.151510i
$203$	7.38465	−	3.12078i	0.518300	−	0.219036i
$204$	−0.845725	−	0.146358i	−0.0592126	−	0.0102471i
$205$	−0.730977	+	8.51061i	−0.0510536	+	0.594407i
$206$	−0.889120	−	10.3518i	−0.0619479	−	0.721247i
$207$	−7.45921	+	1.29087i	−0.518451	+	0.0897215i
$208$	10.7654	−	6.91851i	0.746447	−	0.479712i
$209$	−19.4677	+	8.91246i	−1.34661	+	0.616488i
$210$	1.69940	+	1.09214i	0.117270	+	0.0753648i
$211$	−0.0522035	−	0.0220614i	−0.00359384	−	0.00151877i	0.387472	−	0.921881i	$-0.373348\pi$
$211$	−0.0522035	−	0.0220614i	−0.00359384	−	0.00151877i	−0.391066	+	0.920363i	$0.627894\pi$
$212$	−2.94448	+	0.684709i	−0.202228	+	0.0470260i
$213$	−0.394215	+	1.01253i	−0.0270111	+	0.0693776i
$214$	5.12969	+	8.50664i	0.350659	+	0.581502i
$215$	−2.89054	+	8.89618i	−0.197133	+	0.606714i
$216$	−4.06629	+	5.27326i	−0.276676	+	0.358800i
$217$	13.5815	+	34.8839i	0.921974	+	2.36807i
$218$	9.78219	+	14.3060i	0.662534	+	0.968924i
$219$	0.865106	−	6.01694i	0.0584584	−	0.406587i
$220$	0.457924	−	1.28719i	0.0308732	−	0.0867826i
$221$	3.37613	+	23.4815i	0.227103	+	1.57953i
$222$	−2.16728	+	1.98911i	−0.145458	+	0.133500i
$223$	16.5185	+	0.944562i	1.10616	+	0.0632525i	0.600608	−	0.799543i	$-0.294925\pi$
$223$	16.5185	+	0.944562i	1.10616	+	0.0632525i	0.505552	+	0.862796i	$0.331289\pi$
$224$	−1.95024	−	9.62483i	−0.130306	−	0.643086i
$225$	−2.21423	+	1.81057i	−0.147615	+	0.120704i
$226$	13.1647	+	6.47266i	0.875705	+	0.430555i
$227$	3.74474	−	1.33612i	0.248547	−	0.0886814i	−0.208838	−	0.977950i	$-0.566968\pi$
$227$	3.74474	−	1.33612i	0.248547	−	0.0886814i	0.457385	+	0.889269i	$0.348786\pi$
$228$	0.607081	+	0.787277i	0.0402049	+	0.0521387i
$229$	−8.72449	+	14.4679i	−0.576530	+	0.956068i	0.422240	+	0.906484i	$0.361244\pi$
$229$	−8.72449	+	14.4679i	−0.576530	+	0.956068i	−0.998770	+	0.0495840i	$0.984210\pi$
$230$	2.18415	+	2.52064i	0.144018	+	0.166206i
$231$	−3.12899	−	4.29829i	−0.205872	−	0.282807i
$232$	3.72150	−	4.29484i	0.244329	−	0.281970i
$233$	3.77317	+	11.6126i	0.247189	+	0.760769i	0.995269	+	0.0971602i	$0.0309759\pi$
$233$	3.77317	+	11.6126i	0.247189	+	0.760769i	−0.748080	+	0.663609i	$0.769024\pi$
$234$	14.4499	+	5.15572i	0.944621	+	0.337040i
$235$	−4.24030	−	4.36316i	−0.276607	−	0.284621i
$236$	1.89910	+	1.74297i	0.123621	+	0.113458i
$237$	0.150771	−	0.220495i	0.00979361	−	0.0143227i
$238$	−29.3332	−	6.82114i	−1.90139	−	0.442149i
$239$	−7.63279	−	5.54555i	−0.493724	−	0.358712i	0.312890	−	0.949789i	$-0.398703\pi$
$239$	−7.63279	−	5.54555i	−0.493724	−	0.358712i	−0.806615	+	0.591077i	$0.798703\pi$
$240$	1.11662	+	0.128121i	0.0720777	+	0.00827015i
$241$	−27.5314			−1.77345			−0.886727	−	0.462293i	$-0.847027\pi$
$241$	−27.5314			−1.77345			−0.886727	+	0.462293i	$0.847027\pi$
$242$	9.05825	−	10.4931i	0.582286	−	0.674520i
$243$	−9.47416			−0.607768
$244$	0.947410	+	0.108705i	0.0606517	+	0.00695913i
$245$	−9.21134	−	6.69243i	−0.588491	−	0.427564i
$246$	3.91966	+	0.911478i	0.249908	+	0.0581137i
$247$	15.5099	−	22.6824i	0.986869	−	1.44325i
$248$	19.5499	+	17.9427i	1.24142	+	1.13937i
$249$	−1.09615	−	1.12791i	−0.0694659	−	0.0714787i
$250$	1.18690	+	0.423485i	0.0750661	+	0.0267835i
$251$	−4.09093	−	12.5906i	−0.258217	−	0.794711i	−0.993179	−	0.116602i	$-0.962800\pi$
$251$	−4.09093	−	12.5906i	−0.258217	−	0.794711i	0.734961	−	0.678109i	$-0.237200\pi$
$252$	3.30840	−	3.81810i	0.208410	−	0.240518i
$253$	−2.95751	−	8.26476i	−0.185937	−	0.519601i
$254$	−9.00321	−	10.3903i	−0.564911	−	0.651943i
$255$	−1.07596	+	1.78428i	−0.0673792	+	0.111736i
$256$	−5.76340	−	7.47410i	−0.360212	−	0.467132i
$257$	7.51082	−	2.67986i	0.468512	−	0.167165i	−0.0912331	−	0.995830i	$-0.529081\pi$
$257$	7.51082	−	2.67986i	0.468512	−	0.167165i	0.559745	+	0.828665i	$0.310899\pi$
$258$	3.95467	+	1.94438i	0.246207	+	0.121052i
$259$	20.7269	−	16.9483i	1.28791	−	1.05312i
$260$	0.348204	+	1.71845i	0.0215947	+	0.106574i
$261$	5.33904	+	0.305297i	0.330478	+	0.0188974i
$262$	13.1052	−	12.0278i	0.809640	−	0.743081i
$263$	−1.53520	−	10.6775i	−0.0946644	−	0.658405i	−0.980805	−	0.194989i	$-0.937533\pi$
$263$	−1.53520	−	10.6775i	−0.0946644	−	0.658405i	0.886141	−	0.463416i	$-0.153376\pi$
$264$	−3.33477	−	1.75563i	−0.205241	−	0.108051i
$265$	−1.04441	+	7.26400i	−0.0641574	+	0.446224i
$266$	19.6895	+	28.7950i	1.20724	+	1.76553i
$267$	−2.33581	−	5.99948i	−0.142949	−	0.367163i
$268$	0.379947	−	0.492724i	0.0232089	−	0.0300979i
$269$	2.07562	−	6.38809i	0.126553	−	0.389489i	−0.867628	−	0.497213i	$-0.834357\pi$
$269$	2.07562	−	6.38809i	0.126553	−	0.389489i	0.994181	+	0.107725i	$0.0343566\pi$
$270$	1.42570	+	2.36425i	0.0867651	+	0.143884i
$271$	10.8892	−	27.9686i	0.661470	−	1.69897i	−0.0523354	−	0.998630i	$-0.516666\pi$
$271$	10.8892	−	27.9686i	0.661470	−	1.69897i	0.713806	−	0.700344i	$-0.246970\pi$
$272$	−16.3206	+	3.79520i	−0.989584	+	0.230118i
$273$	6.28496	+	2.65605i	0.380383	+	0.160751i
$274$	7.67345	+	4.93143i	0.463570	+	0.297918i
$275$	−2.50855	−	2.16960i	−0.151271	−	0.130832i
$276$	−0.342881	+	0.220356i	−0.0206390	+	0.0132639i
$277$	−10.7674	+	1.86338i	−0.646952	+	0.111960i	−0.484548	−	0.874765i	$-0.661016\pi$
$277$	−10.7674	+	1.86338i	−0.646952	+	0.111960i	−0.162404	+	0.986724i	$0.551925\pi$
$278$	−2.14831	−	25.0123i	−0.128847	−	1.50014i
$279$	−2.13688	+	24.8792i	−0.127931	+	1.48948i
$280$	−12.8420	−	2.22240i	−0.767458	−	0.132814i
$281$	−18.7861	+	7.93907i	−1.12068	+	0.473605i	−0.869302	−	0.494282i	$-0.835431\pi$
$281$	−18.7861	+	7.93907i	−1.12068	+	0.473605i	−0.251383	+	0.967888i	$0.580885\pi$
$282$	−2.31893	+	1.68480i	−0.138090	+	0.100329i
$283$	−1.84300	+	1.04079i	−0.109555	+	0.0618686i	−0.545537	−	0.838087i	$-0.683674\pi$
$283$	−1.84300	+	1.04079i	−0.109555	+	0.0618686i	0.435981	+	0.899956i	$0.356401\pi$
$284$	−0.0341890	−	1.19677i	−0.00202874	−	0.0710153i
$285$	2.31565	−	0.679936i	0.137167	−	0.0402759i
$286$	−3.01735	+	17.5324i	−0.178420	+	1.03671i
$287$	−35.1431	−	10.3189i	−2.07443	−	0.609108i
$288$	1.66532	−	6.33553i	0.0981299	−	0.373325i
$289$	2.79269	−	13.7825i	0.164276	−	0.810735i
$290$	−1.09954	−	2.08386i	−0.0645673	−	0.122369i
$291$	−0.169330	+	5.92732i	−0.00992629	+	0.347465i
$292$	1.70278	+	6.47804i	0.0996475	+	0.379099i
$293$	2.38414	−	0.136330i	0.139283	−	0.00796449i	0.0126918	−	0.999919i	$-0.495960\pi$
$293$	2.38414	−	0.136330i	0.139283	−	0.00796449i	0.126591	+	0.991955i	$0.459596\pi$
$294$	−3.73841	+	3.84673i	−0.218028	+	0.224346i
$295$	5.61555	−	2.76098i	0.326950	−	0.160750i
$296$	7.88413	−	17.2638i	0.458256	−	1.00344i
$297$	−1.24568	−	7.15858i	−0.0722819	−	0.415383i
$298$	−0.143527	−	0.314281i	−0.00831431	−	0.0182058i
$299$	8.72105	+	7.13116i	0.504351	+	0.412406i
$300$	−0.0718663	+	0.136202i	−0.00414921	+	0.00786362i
$301$	−34.9245	−	19.7228i	−2.01302	−	1.13680i
$302$	1.36352	−	0.156449i	0.0784615	−	0.00900262i
$303$	1.07973	−	0.123888i	0.0620290	−	0.00711717i
$304$	16.8999	+	9.54379i	0.969274	+	0.547374i
$305$	1.08034	−	2.04747i	0.0618601	−	0.117238i
$306$	−15.5516	−	12.7165i	−0.889028	−	0.726955i
$307$	−0.100476	−	0.220012i	−0.00573449	−	0.0125568i	0.906743	−	0.421684i	$-0.138561\pi$
$307$	−0.100476	−	0.220012i	−0.00573449	−	0.0125568i	−0.912478	+	0.409127i	$0.865833\pi$
$308$	5.01946	+	3.02050i	0.286010	+	0.172109i
$309$	1.28043	−	2.80374i	0.0728408	−	0.159499i
$310$	9.87302	−	4.85424i	0.560750	−	0.275702i
$311$	−3.95947	+	4.07420i	−0.224521	+	0.231026i	−0.820028	−	0.572324i	$-0.806042\pi$
$311$	−3.95947	+	4.07420i	−0.224521	+	0.231026i	0.595507	+	0.803350i	$0.296951\pi$
$312$	4.82874	−	0.276117i	0.273373	−	0.0156321i
$313$	0.189224	+	0.719882i	0.0106956	+	0.0406901i	0.972281	−	0.233817i	$-0.0751217\pi$
$313$	0.189224	+	0.719882i	0.0106956	+	0.0406901i	−0.961585	+	0.274507i	$0.911485\pi$
$314$	0.774385	−	27.1070i	0.0437011	−	1.52974i
$315$	−5.72337	−	10.8470i	−0.322475	−	0.611158i
$316$	−0.0584503	+	0.288464i	−0.00328809	+	0.0162274i
$317$	−1.91733	+	7.29426i	−0.107688	+	0.409687i	−0.999049	−	0.0436074i	$-0.986115\pi$
$317$	−1.91733	+	7.29426i	−0.107688	+	0.409687i	0.891361	+	0.453294i	$0.149751\pi$
$318$	3.31733	+	0.974056i	0.186027	+	0.0546223i
$319$	0.712585	+	6.15999i	0.0398971	+	0.344893i
$320$	−8.53860	+	2.50716i	−0.477322	+	0.140154i
$321$	0.0841519	+	2.94570i	0.00469690	+	0.164413i
$322$	−12.4528	+	7.03241i	−0.693967	+	0.391901i
$323$	−29.1081	+	21.1483i	−1.61962	+	1.17672i
$324$	2.94509	−	1.24461i	0.163616	−	0.0691448i
$325$	4.19413	+	0.725823i	0.232648	+	0.0402614i
$326$	−1.40626	+	16.3728i	−0.0778856	+	0.906805i
$327$	0.439968	+	5.12246i	0.0243303	+	0.283272i
$328$	−25.5828	+	4.42728i	−1.41257	+	0.244456i
$329$	21.9468	−	14.1044i	1.20997	−	0.777598i
$330$	−1.17992	+	1.02432i	−0.0649524	+	0.0563872i
$331$	12.4526	+	8.00282i	0.684459	+	0.439875i	0.836112	−	0.548559i	$-0.184823\pi$
$331$	12.4526	+	8.00282i	0.684459	+	0.439875i	−0.151653	+	0.988434i	$0.548460\pi$
$332$	1.59635	+	0.674622i	0.0876109	+	0.0370247i
$333$	17.3956	−	4.04516i	0.953271	−	0.221674i
$334$	4.51978	−	11.6090i	0.247312	−	0.635215i
$335$	−0.779994	−	1.29347i	−0.0426156	−	0.0706700i
$336$	−1.48926	+	4.58348i	−0.0812459	+	0.250049i
$337$	6.76733	−	8.77604i	0.368640	−	0.478061i	−0.570646	−	0.821196i	$-0.693307\pi$
$337$	6.76733	−	8.77604i	0.368640	−	0.478061i	0.939286	+	0.343135i	$0.111489\pi$
$338$	−2.33977	−	6.00964i	−0.127267	−	0.326882i
$339$	2.45644	+	3.59242i	0.133415	+	0.195114i
$340$	0.326734	−	2.27248i	0.0177196	−	0.123243i
$341$	−28.8467	+	2.50461i	−1.56213	+	0.135632i
$342$	3.31150	+	23.0320i	0.179066	+	1.24543i
$343$	13.8551	−	12.7161i	0.748105	−	0.686605i
$344$	−28.3849	−	1.62311i	−1.53041	−	0.0875122i
$345$	0.196494	+	0.969738i	0.0105789	+	0.0522089i
$346$	7.42089	−	6.06803i	0.398949	−	0.326219i
$347$	19.3414	+	9.50955i	1.03830	+	0.510499i	0.879045	−	0.476738i	$-0.158181\pi$
$347$	19.3414	+	9.50955i	1.03830	+	0.510499i	0.159257	+	0.987237i	$0.449090\pi$
$348$	0.271186	−	0.0967590i	0.0145371	−	0.00518682i
$349$	15.8161	+	20.5107i	0.846616	+	1.09791i	0.994059	+	0.108841i	$0.0347138\pi$
$349$	15.8161	+	20.5107i	0.846616	+	1.09791i	−0.147443	+	0.989071i	$0.547104\pi$
$350$	−2.79036	+	4.62729i	−0.149151	+	0.247339i
$351$	6.10671	+	7.04751i	0.325952	+	0.376168i
$352$	7.56873	+	0.643004i	0.403415	+	0.0342723i
$353$	−18.4230	+	21.2613i	−0.980560	+	1.13163i	0.0107323	+	0.999942i	$0.496584\pi$
$353$	−18.4230	+	21.2613i	−0.980560	+	1.13163i	−0.991292	+	0.131684i	$0.957962\pi$
$354$	−0.910997	−	2.80376i	−0.0484189	−	0.149018i
$355$	−2.73743	−	0.976711i	−0.145287	−	0.0518385i
$356$	4.94410	+	5.08736i	0.262037	+	0.269630i
$357$	−6.58216	−	6.04105i	−0.348365	−	0.319726i
$358$	3.06264	−	4.47897i	0.161866	−	0.236721i
$359$	−23.9690	−	5.57375i	−1.26503	−	0.294171i	−0.460278	−	0.887775i	$-0.652250\pi$
$359$	−23.9690	−	5.57375i	−1.26503	−	0.294171i	−0.804757	+	0.593604i	$0.797705\pi$
$360$	−7.03331	−	5.11000i	−0.370688	−	0.269320i
$361$	22.5272	+	2.58476i	1.18564	+	0.136040i
$362$	−6.89279			−0.362277
$363$	3.87058	−	1.38912i	0.203153	−	0.0729101i
$364$	−7.51825			−0.394063
$365$	16.1542	+	1.85352i	0.845550	+	0.0970179i
$366$	−0.882345	−	0.641061i	−0.0461209	−	0.0335088i
$367$	23.4982	+	5.46426i	1.22659	+	0.285232i	0.789255	−	0.614065i	$-0.210467\pi$
$367$	23.4982	+	5.46426i	1.22659	+	0.285232i	0.437338	+	0.899297i	$0.355921\pi$
$368$	−4.49131	+	6.56833i	−0.234126	+	0.342398i
$369$	−18.0001	−	16.5203i	−0.937045	−	0.860013i
$370$	−5.48404	−	5.64294i	−0.285101	−	0.293362i
$371$	−29.6374	−	10.5746i	−1.53870	−	0.549006i
$372$	0.415461	+	1.27866i	0.0215407	+	0.0662954i
$373$	−12.0113	+	13.8618i	−0.621921	+	0.717735i	−0.976071	−	0.217454i	$-0.930225\pi$
$373$	−12.0113	+	13.8618i	−0.621921	+	0.717735i	0.354150	+	0.935189i	$0.384770\pi$
$374$	11.4357	−	20.2940i	0.591329	−	1.04938i
$375$	0.244817	+	0.282534i	0.0126423	+	0.0145900i
$376$	9.54962	−	15.8363i	0.492484	−	0.816693i
$377$	−4.85971	−	6.30219i	−0.250288	−	0.324579i
$378$	−11.1497	+	3.97821i	−0.573480	+	0.204617i
$379$	−4.56226	−	2.24311i	−0.234347	−	0.115221i	0.320270	−	0.947326i	$-0.396226\pi$
$379$	−4.56226	−	2.24311i	−0.234347	−	0.115221i	−0.554618	+	0.832105i	$0.687135\pi$
$380$	−2.05865	+	1.68335i	−0.105607	+	0.0863542i
$381$	−0.809963	−	3.99732i	−0.0414957	−	0.204789i
$382$	−5.86546	−	0.335399i	−0.300103	−	0.0171605i
$383$	−5.16150	+	4.73718i	−0.263740	+	0.242059i	−0.797125	−	0.603814i	$-0.793647\pi$
$383$	−5.16150	+	4.73718i	−0.263740	+	0.242059i	0.533385	+	0.845873i	$0.320920\pi$
$384$	0.352951	+	2.45483i	0.0180114	+	0.125272i
$385$	11.2538	−	8.69463i	0.573546	−	0.443119i
$386$	4.90907	−	34.1433i	0.249865	−	1.73785i
$387$	−15.1015	−	22.0852i	−0.767652	−	1.12266i
$388$	−2.37052	−	6.08863i	−0.120345	−	0.309104i
$389$	11.3224	−	14.6831i	0.574068	−	0.744464i	−0.411931	−	0.911215i	$-0.635146\pi$
$389$	11.3224	−	14.6831i	0.574068	−	0.744464i	0.985999	+	0.166750i	$0.0533274\pi$
$390$	0.619669	−	1.90714i	0.0313782	−	0.0965720i
$391$	−7.61731	−	12.6319i	−0.385224	−	0.638822i
$392$	12.5557	−	32.2491i	0.634159	−	1.62882i
$393$	5.13985	−	1.19522i	0.259271	−	0.0602909i
$394$	21.8321	+	9.22634i	1.09989	+	0.464816i
$395$	0.601078	+	0.386289i	0.0302435	+	0.0194363i
$396$	2.11572	+	3.28542i	0.106319	+	0.165099i
$397$	−15.5037	+	9.96360i	−0.778106	+	0.500059i	−0.868405	−	0.495856i	$-0.834854\pi$
$397$	−15.5037	+	9.96360i	−0.778106	+	0.500059i	0.0902983	+	0.995915i	$0.471218\pi$
$398$	3.89810	−	0.674592i	0.195394	−	0.0338142i
$399$	0.885564	+	10.3104i	0.0443336	+	0.516167i
$400$	−0.257277	+	2.99542i	−0.0128638	+	0.149771i
$401$	−24.9551	−	4.31864i	−1.24620	−	0.215663i	−0.490999	−	0.871160i	$-0.663368\pi$
$401$	−24.9551	−	4.31864i	−1.24620	−	0.215663i	−0.755197	+	0.655497i	$0.772459\pi$
$402$	−0.655470	+	0.277004i	−0.0326918	+	0.0138157i
$403$	30.0634	−	21.8423i	1.49756	−	1.08804i
$404$	−1.04275	+	0.588867i	−0.0518787	+	0.0292973i
$405$	−0.221643	−	7.75852i	−0.0110135	−	0.385524i
$406$	9.69367	−	2.84632i	0.481089	−	0.141260i
$407$	8.07926	+	19.0685i	0.400474	+	0.945188i
$408$	−6.07650	−	1.78422i	−0.300831	−	0.0883321i
$409$	0.853737	−	3.24795i	0.0422146	−	0.160601i	−0.942700	−	0.333641i	$-0.891723\pi$
$409$	0.853737	−	3.24795i	0.0422146	−	0.160601i	0.984915	+	0.173040i	$0.0553590\pi$
$410$	−2.13771	+	10.5500i	−0.105574	+	0.521029i
$411$	1.26279	+	2.39325i	0.0622886	+	0.118050i
$412$	−0.0969845	+	3.39490i	−0.00477808	+	0.167255i
$413$	6.82112	+	25.9502i	0.335645	+	1.27693i
$414$	−9.52416	+	0.544611i	−0.468087	+	0.0267662i
$415$	2.93210	−	3.01705i	0.143931	−	0.148101i
$416$	−8.74830	+	4.30125i	−0.428920	+	0.210886i
$417$	3.09379	−	6.77445i	0.151504	−	0.331746i
$418$	−25.6533	+	8.36160i	−1.25475	+	0.408979i
$419$	6.19566	+	13.5666i	0.302678	+	0.662772i	0.998460	−	0.0554811i	$-0.0176693\pi$
$419$	6.19566	+	13.5666i	0.302678	+	0.662772i	−0.695782	+	0.718253i	$0.744942\pi$
$420$	−0.511188	−	0.417996i	−0.0249434	−	0.0203961i
$421$	−10.2149	+	19.3594i	−0.497845	+	0.943522i	0.499184	+	0.866496i	$0.333633\pi$
$421$	−10.2149	+	19.3594i	−0.497845	+	0.943522i	−0.997029	+	0.0770255i	$0.975458\pi$
$422$	−0.0621882	−	0.0351193i	−0.00302727	−	0.00170958i
$423$	17.2888	−	1.98370i	0.840610	−	0.0964510i
$424$	−22.1605	+	2.54268i	−1.07621	+	0.123483i
$425$	−4.85300	−	2.74062i	−0.235405	−	0.132939i
$426$	−0.638996	+	1.21103i	−0.0309595	+	0.0586747i
$427$	7.68449	+	6.28358i	0.371879	+	0.304084i
$428$	−1.34890	−	2.95368i	−0.0652016	−	0.142772i
$429$	−3.33701	+	4.08873i	−0.161113	+	0.197406i
$430$	−4.89682	+	10.7225i	−0.236146	+	0.517087i
$431$	18.3585	−	9.02627i	0.884298	−	0.434780i	0.0581992	−	0.998305i	$-0.481464\pi$
$431$	18.3585	−	9.02627i	0.884298	−	0.434780i	0.826099	+	0.563525i	$0.190555\pi$
$432$	−4.59046	+	4.72347i	−0.220859	+	0.227258i
$433$	11.0469	−	0.631686i	0.530881	−	0.0303569i	0.210406	−	0.977614i	$-0.432521\pi$
$433$	11.0469	−	0.631686i	0.530881	−	0.0303569i	0.320475	+	0.947257i	$0.396158\pi$
$434$	11.9926	+	45.6246i	0.575663	+	2.19005i
$435$	0.0199600	−	0.698692i	0.000957010	−	0.0334997i
$436$	−2.64371	−	5.01039i	−0.126611	−	0.239954i
$437$	−3.39309	+	16.7455i	−0.162313	+	0.801048i
$438$	1.94742	−	7.40877i	0.0930515	−	0.354005i
$439$	5.64360	+	1.65711i	0.269354	+	0.0790895i	0.413621	−	0.910449i	$-0.364264\pi$
$439$	5.64360	+	1.65711i	0.269354	+	0.0790895i	−0.144266	+	0.989539i	$0.546082\pi$
$440$	4.43947	−	9.05064i	0.211644	−	0.431472i
$441$	31.2471	−	9.17497i	1.48796	−	0.436903i
$442$	0.853692	+	29.8831i	0.0406060	+	1.42139i
$443$	−0.177137	+	0.100034i	−0.00841602	+	0.00475274i	−0.495935	−	0.868360i	$-0.665175\pi$
$443$	−0.177137	+	0.100034i	−0.00841602	+	0.00475274i	0.487519	+	0.873112i	$0.337902\pi$
$444$	0.777943	−	0.565208i	0.0369195	−	0.0268236i
$445$	15.8630	−	6.70377i	0.751980	−	0.317789i
$446$	20.5450	+	3.55545i	0.972834	+	0.168356i
$447$	0.00877117	−	0.102121i	0.000414862	−	0.00483015i
$448$	−3.26538	−	38.0181i	−0.154275	−	1.79619i
$449$	6.32271	−	1.09419i	0.298387	−	0.0516379i	−0.0193627	−	0.999813i	$-0.506164\pi$
$449$	6.32271	−	1.09419i	0.298387	−	0.0516379i	0.317750	+	0.948175i	$0.397073\pi$
$450$	−3.03224	+	1.94870i	−0.142941	+	0.0918628i
$451$	15.2945	−	23.8473i	0.720188	−	1.12292i
$452$	−4.03407	−	2.59254i	−0.189747	−	0.121943i
$453$	0.375039	+	0.158493i	0.0176209	+	0.00744665i
$454$	4.88024	−	1.13485i	0.229041	−	0.0532612i
$455$	−6.62168	+	17.0076i	−0.310429	+	0.797330i
$456$	3.78804	+	6.28176i	0.177391	+	0.294170i
$457$	−4.57378	+	14.0767i	−0.213952	+	0.658478i	0.785274	+	0.619149i	$0.212522\pi$
$457$	−4.57378	+	14.0767i	−0.213952	+	0.658478i	−0.999226	+	0.0393294i	$0.987478\pi$
$458$	−13.0011	+	16.8602i	−0.607503	+	0.787824i
$459$	−4.43000	−	11.3784i	−0.206775	−	0.531096i
$460$	−0.615381	−	0.899966i	−0.0286923	−	0.0419611i
$461$	0.915454	−	6.36712i	0.0426369	−	0.296546i	−0.957334	−	0.288982i	$-0.906683\pi$
$461$	0.915454	−	6.36712i	0.0426369	−	0.296546i	0.999971	−	0.00756414i	$-0.00240776\pi$
$462$	−3.29995	−	5.83082i	−0.153528	−	0.271274i
$463$	−0.915173	−	6.36517i	−0.0425317	−	0.295815i	−0.999974	−	0.00719026i	$-0.997711\pi$
$463$	−0.915173	−	6.36517i	−0.0425317	−	0.295815i	0.957442	−	0.288624i	$-0.0931978\pi$
$464$	4.14132	−	3.80087i	0.192256	−	0.176451i
$465$	3.25848	+	0.186326i	0.151108	+	0.00864068i
$466$	3.05575	+	15.0807i	0.141555	+	0.698600i
$467$	−22.5653	+	18.4516i	−1.04420	+	0.853837i	−0.989481	−	0.144665i	$-0.953790\pi$
$467$	−22.5653	+	18.4516i	−1.04420	+	0.853837i	−0.0547181	+	0.998502i	$0.517426\pi$
$468$	−4.50052	−	2.21276i	−0.208036	−	0.102285i
$469$	6.09997	−	2.17647i	0.281671	−	0.100500i
$470$	−4.68196	−	6.07168i	−0.215963	−	0.280066i
$471$	4.15434	−	6.88919i	0.191422	−	0.317437i
$472$	12.4553	+	14.3742i	0.573303	+	0.661627i
$473$	22.2280	−	21.6422i	1.02205	−	0.995110i
$474$	0.220435	−	0.254395i	0.0101249	−	0.0116848i
$475$	1.99490	+	6.13966i	0.0915321	+	0.281707i
$476$	9.27182	+	3.30818i	0.424973	+	0.151630i
$477$	−14.6290	−	15.0529i	−0.669817	−	0.689225i
$478$	−8.75942	−	8.03932i	−0.400647	−	0.367710i
$479$	16.0693	−	23.5006i	0.734225	−	1.07377i	−0.259910	−	0.965633i	$-0.583693\pi$
$479$	16.0693	−	23.5006i	0.734225	−	1.07377i	0.994136	−	0.108138i	$-0.0344888\pi$
$480$	−0.833961	−	0.193929i	−0.0380649	−	0.00885162i
$481$	−21.5020	−	15.6221i	−0.980407	−	0.712308i
$482$	−34.4686	−	3.95490i	−1.57000	−	0.180141i
$483$	−4.24261			−0.193046
$484$	−3.33266	+	3.07011i	−0.151485	+	0.139550i
$485$	−15.8614			−0.720230
$486$	−11.8614	−	1.36097i	−0.538043	−	0.0617347i
$487$	−8.75312	−	6.35951i	−0.396642	−	0.288177i	0.371530	−	0.928421i	$-0.378833\pi$
$487$	−8.75312	−	6.35951i	−0.396642	−	0.288177i	−0.768172	+	0.640244i	$0.778833\pi$
$488$	6.85357	+	1.59373i	0.310246	+	0.0721447i
$489$	−2.75168	+	4.02420i	−0.124435	+	0.181981i
$490$	−10.5710	−	9.70195i	−0.477548	−	0.438289i
$491$	−17.8677	−	18.3854i	−0.806358	−	0.829722i	0.181773	−	0.983341i	$-0.441816\pi$
$491$	−17.8677	−	18.3854i	−0.806358	−	0.829722i	−0.988130	+	0.153618i	$0.950907\pi$
$492$	−1.23895	−	0.442057i	−0.0558562	−	0.0199294i
$493$	3.22011	+	9.91049i	0.145027	+	0.446346i
$494$	22.6762	−	26.1698i	1.02025	−	1.17743i
$495$	9.29564	−	1.89252i	0.417808	−	0.0850626i
$496$	17.1883	+	19.8364i	0.771778	+	0.890679i
$497$	6.43560	−	10.6722i	0.288676	−	0.478716i
$498$	−1.21033	−	1.56958i	−0.0542361	−	0.0703346i
$499$	−29.0037	+	10.3485i	−1.29839	+	0.463263i	−0.892659	−	0.450732i	$-0.851163\pi$
$499$	−29.0037	+	10.3485i	−1.29839	+	0.463263i	−0.405726	+	0.913995i	$0.632981\pi$
$500$	−0.369667	−	0.181753i	−0.0165320	−	0.00812824i
$501$	2.86101	−	2.33944i	0.127821	−	0.104518i
$502$	−3.31309	−	16.3507i	−0.147870	−	0.729769i
$503$	−12.2427	−	0.700060i	−0.545873	−	0.0312141i	−0.218022	−	0.975944i	$-0.569961\pi$
$503$	−12.2427	−	0.700060i	−0.545873	−	0.0312141i	−0.327850	+	0.944730i	$0.606324\pi$
$504$	27.4637	−	25.2059i	1.22333	−	1.12276i
$505$	0.413727	+	2.87753i	0.0184106	+	0.128048i
$506$	−2.51548	−	10.7721i	−0.111827	−	0.478878i
$507$	0.272273	−	1.89370i	0.0120921	−	0.0841022i
$508$	2.53664	+	3.70972i	0.112545	+	0.164592i
$509$	11.1281	+	28.5823i	0.493245	+	1.26689i	0.930083	+	0.367349i	$0.119734\pi$
$509$	11.1281	+	28.5823i	0.493245	+	1.26689i	−0.436839	+	0.899540i	$0.643902\pi$
$510$	−1.60338	+	2.07930i	−0.0709990	+	0.0920731i
$511$	−21.5452	+	66.3093i	−0.953103	+	2.93335i
$512$	−12.9934	−	21.5472i	−0.574234	−	0.952261i
$513$	−5.13125	+	13.1795i	−0.226550	+	0.581889i
$514$	9.78830	−	2.27617i	0.431743	−	0.100398i
$515$	7.59446	+	3.20945i	0.334652	+	0.141425i
$516$	−1.21183	−	0.778797i	−0.0533479	−	0.0342846i
$517$	5.70304	+	19.3563i	0.250819	+	0.851289i
$518$	28.3841	−	18.2414i	1.24713	−	0.801479i
$519$	2.80212	−	0.484925i	0.122999	−	0.0212859i
$520$	1.10712	+	12.8900i	0.0485506	+	0.565264i
$521$	−1.02008	+	11.8766i	−0.0446906	+	0.520323i	0.939420	+	0.342768i	$0.111364\pi$
$521$	−1.02008	+	11.8766i	−0.0446906	+	0.520323i	−0.984111	+	0.177556i	$0.943181\pi$
$522$	6.64047	+	1.14918i	0.290646	+	0.0502982i
$523$	−3.19495	+	1.35020i	−0.139705	+	0.0590400i	−0.458002	−	0.888951i	$-0.651435\pi$
$523$	−3.19495	+	1.35020i	−0.139705	+	0.0590400i	0.318296	+	0.947991i	$0.396889\pi$
$524$	−4.70409	+	3.41772i	−0.205499	+	0.149304i
$525$	−1.39581	+	0.788250i	−0.0609182	+	0.0344021i
$526$	−0.388192	−	13.5885i	−0.0169260	−	0.592487i
$527$	−46.6864	+	13.7084i	−2.03369	+	0.597146i
$528$	−3.07908	−	2.10123i	−0.134000	−	0.0914443i
$529$	15.3473	+	4.50636i	0.667272	+	0.195929i
$530$	−2.35104	+	8.94430i	−0.102123	+	0.388515i
$531$	−3.55441	+	17.5417i	−0.154248	+	0.761245i
$532$	−5.32123	−	10.0849i	−0.230705	−	0.437234i
$533$	−1.03826	+	36.3437i	−0.0449719	+	1.57422i
$534$	−2.06254	−	7.84673i	−0.0892549	−	0.339561i
$535$	−7.86980	+	0.450012i	−0.340241	+	0.0194557i
$536$	3.19963	−	3.29235i	0.138203	−	0.142208i
$537$	1.44451	−	0.710216i	0.0623351	−	0.0306481i
$538$	3.51626	−	7.69954i	0.151597	−	0.331951i
$539$	16.6931	+	33.8726i	0.719022	+	1.45900i
$540$	−0.374900	−	0.820917i	−0.0161331	−	0.0353266i
$541$	21.2384	+	17.3666i	0.913110	+	0.746646i	0.967764	−	0.251859i	$-0.0810419\pi$
$541$	21.2384	+	17.3666i	0.913110	+	0.746646i	−0.0546539	+	0.998505i	$0.517406\pi$
$542$	17.6506	−	33.4517i	0.758160	−	1.43687i
$543$	−1.78051	−	1.00550i	−0.0764091	−	0.0431502i
$544$	12.6814	−	1.45505i	0.543710	−	0.0623850i
$545$	−13.6628	+	1.56767i	−0.585252	+	0.0671514i
$546$	7.48705	+	4.22813i	0.320416	+	0.180947i
$547$	6.45491	−	12.2334i	0.275992	−	0.523063i	−0.706884	−	0.707329i	$-0.749900\pi$
$547$	6.45491	−	12.2334i	0.275992	−	0.523063i	0.982876	+	0.184266i	$0.0589908\pi$
$548$	−2.30821	−	1.88741i	−0.0986017	−	0.0806262i
$549$	2.75066	+	6.02311i	0.117395	+	0.257060i
$550$	−2.82897	−	3.07663i	−0.120628	−	0.131188i
$551$	5.01407	−	10.9793i	0.213606	−	0.467733i
$552$	−2.69884	+	1.32693i	−0.114870	+	0.0564778i
$553$	−2.13520	+	2.19707i	−0.0907981	+	0.0934290i
$554$	−13.7482	+	0.786150i	−0.584105	+	0.0334003i
$555$	−0.593433	−	2.25765i	−0.0251898	−	0.0958321i
$556$	−0.234336	+	8.20282i	−0.00993805	+	0.347877i
$557$	−3.04865	−	5.77783i	−0.129175	−	0.244815i	0.811334	−	0.584584i	$-0.198742\pi$
$557$	−3.04865	−	5.77783i	−0.129175	−	0.244815i	−0.940509	+	0.339769i	$0.889651\pi$
$558$	−6.24922	+	30.8411i	−0.264550	+	1.30561i
$559$	−10.1217	+	38.5070i	−0.428103	+	1.62867i
$560$	−12.3691	−	3.63189i	−0.522689	−	0.153475i
$561$	5.91447	−	3.57404i	0.249709	−	0.150896i
$562$	−24.6601	+	7.24086i	−1.04022	+	0.305437i
$563$	0.266738	+	9.33703i	0.0112416	+	0.393509i	0.985658	+	0.168757i	$0.0539753\pi$
$563$	0.266738	+	9.33703i	0.0112416	+	0.393509i	−0.974416	+	0.224752i	$0.927843\pi$
$564$	0.815854	−	0.460734i	0.0343536	−	0.0194004i
$565$	−9.41780	+	6.84243i	−0.396210	+	0.287863i
$566$	−2.45690	+	1.03829i	−0.103271	+	0.0436427i
$567$	32.7937	+	5.67517i	1.37720	+	0.238335i
$568$	0.755979	−	8.80170i	0.0317202	−	0.369311i
$569$	−0.504640	−	5.87542i	−0.0211556	−	0.246310i	−0.999269	−	0.0382364i	$-0.987826\pi$
$569$	−0.504640	−	5.87542i	−0.0211556	−	0.246310i	0.978113	−	0.208074i	$-0.0667195\pi$
$570$	2.99680	−	0.518617i	0.125522	−	0.0217225i
$571$	9.24245	−	5.93976i	0.386784	−	0.248571i	−0.332769	−	0.943008i	$-0.607983\pi$
$571$	9.24245	−	5.93976i	0.386784	−	0.248571i	0.719553	+	0.694437i	$0.244347\pi$
$572$	1.63318	−	5.58124i	0.0682866	−	0.233364i
$573$	−1.46621	−	0.942276i	−0.0612518	−	0.0393642i
$574$	−42.5159	−	17.9673i	−1.77458	−	0.749943i
$575$	−2.57788	+	0.599460i	−0.107505	+	0.0249992i
$576$	9.23472	−	23.7192i	0.384780	−	0.988299i
$577$	−10.6508	−	17.6623i	−0.443397	−	0.735291i	0.551716	−	0.834032i	$-0.313973\pi$
$577$	−10.6508	−	17.6623i	−0.443397	−	0.735291i	−0.995113	+	0.0987406i	$0.968519\pi$
$578$	5.47623	−	16.8541i	0.227781	−	0.701039i
$579$	6.24883	−	8.10362i	0.259692	−	0.336775i
$580$	0.279429	+	0.717708i	0.0116027	+	0.0298012i
$581$	10.1823	+	14.8912i	0.422433	+	0.617789i
$582$	−1.06346	+	7.39651i	−0.0440817	+	0.306595i
$583$	14.2882	−	19.7045i	0.591759	−	0.816078i
$584$	7.03357	+	48.9196i	0.291051	+	2.02431i
$585$	−8.96947	+	8.23211i	−0.370842	+	0.340356i
$586$	3.00446	+	0.171801i	0.124113	+	0.00709705i
$587$	7.55602	+	37.2904i	0.311870	+	1.53914i	0.762832	+	0.646597i	$0.223809\pi$
$587$	7.55602	+	37.2904i	0.311870	+	1.53914i	−0.450961	+	0.892544i	$0.648919\pi$
$588$	1.35739	−	1.10993i	0.0559777	−	0.0457727i
$589$	50.5770	+	24.8671i	2.08399	+	1.02463i
$590$	7.42712	−	2.64999i	0.305770	−	0.109098i
$591$	4.29366	+	5.56812i	0.176618	+	0.229042i
$592$	9.69415	−	16.0759i	0.398427	−	0.660717i
$593$	19.2869	+	22.2582i	0.792017	+	0.914036i	0.997915	−	0.0645374i	$-0.0205572\pi$
$593$	19.2869	+	22.2582i	0.792017	+	0.914036i	−0.205899	+	0.978573i	$0.566012\pi$
$594$	−0.531228	−	9.14128i	−0.0217966	−	0.375071i
$595$	15.6498	−	18.0609i	0.641580	−	0.740423i
$596$	0.0349000	+	0.107411i	0.00142956	+	0.00439973i
$597$	1.10534	+	0.394386i	0.0452388	+	0.0161412i
$598$	9.89411	+	10.1808i	0.404600	+	0.416324i
$599$	−6.25930	−	5.74474i	−0.255748	−	0.234724i	0.538038	−	0.842921i	$-0.319166\pi$
$599$	−6.25930	−	5.74474i	−0.255748	−	0.234724i	−0.793786	+	0.608197i	$0.791893\pi$
$600$	−0.641376	+	0.937983i	−0.0261841	+	0.0382930i
$601$	−12.5423	−	2.91658i	−0.511611	−	0.118970i	−0.0372593	−	0.999306i	$-0.511863\pi$
$601$	−12.5423	−	2.91658i	−0.511611	−	0.118970i	−0.474351	+	0.880336i	$0.657317\pi$
$602$	−40.8913	−	29.7093i	−1.66661	−	1.21086i
$603$	4.29209	+	0.492472i	0.174788	+	0.0200550i
$604$	−0.448633			−0.0182546
$605$	4.00990	+	10.2431i	0.163026	+	0.416440i
$606$	1.36959			0.0556358
$607$	28.0341	+	3.21661i	1.13787	+	0.130558i	0.662382	−	0.749166i	$-0.269545\pi$
$607$	28.0341	+	3.21661i	1.13787	+	0.130558i	0.475485	+	0.879724i	$0.342273\pi$
$608$	−11.9615	−	8.69051i	−0.485101	−	0.352447i
$609$	2.91923	+	0.678839i	0.118293	+	0.0275079i
$610$	1.64667	−	2.40818i	0.0666719	−	0.0975045i
$611$	−19.0795	−	17.5110i	−0.771874	−	0.708420i
$612$	4.57657	+	4.70918i	0.184997	+	0.190357i
$613$	34.0239	+	12.1397i	1.37421	+	0.490317i	0.916945	−	0.399013i	$-0.130647\pi$
$613$	34.0239	+	12.1397i	1.37421	+	0.490317i	0.457265	+	0.889330i	$0.348829\pi$
$614$	−0.0941886	−	0.289883i	−0.00380114	−	0.0116987i
$615$	−2.09121	+	2.41339i	−0.0843259	+	0.0973173i
$616$	34.2547	+	26.3636i	1.38016	+	1.06222i
$617$	−1.92386	−	2.22025i	−0.0774515	−	0.0893838i	0.715701	−	0.698407i	$-0.246107\pi$
$617$	−1.92386	−	2.22025i	−0.0774515	−	0.0893838i	−0.793153	+	0.609023i	$0.791562\pi$
$618$	2.00581	−	3.32627i	0.0806857	−	0.133802i
$619$	−21.2659	−	27.5782i	−0.854750	−	1.10846i	−0.993006	−	0.118063i	$-0.962331\pi$
$619$	−21.2659	−	27.5782i	−0.854750	−	1.10846i	0.138256	−	0.990397i	$-0.455850\pi$
$620$	−3.38715	+	1.20853i	−0.136031	+	0.0485358i
$621$	−5.20346	−	2.55837i	−0.208808	−	0.102664i
$622$	−5.54240	+	4.53200i	−0.222230	+	0.181717i
$623$	14.6645	+	72.3724i	0.587522	+	2.89954i
$624$	4.77626	+	0.273116i	0.191203	+	0.0109334i
$625$	−0.736741	+	0.676175i	−0.0294696	+	0.0270470i
$626$	0.133492	+	0.928454i	0.00533540	+	0.0371085i
$627$	−7.84642	−	1.58231i	−0.313356	−	0.0631915i
$628$	−1.26154	+	8.77418i	−0.0503408	+	0.350128i
$629$	19.6431	+	28.7272i	0.783223	+	1.14543i
$630$	−5.60732	−	14.4023i	−0.223401	−	0.573801i
$631$	9.52510	−	12.3524i	0.379188	−	0.491740i	−0.563172	−	0.826340i	$-0.690419\pi$
$631$	9.52510	−	12.3524i	0.379188	−	0.491740i	0.942360	+	0.334600i	$0.108601\pi$
$632$	−0.671097	+	2.06543i	−0.0266948	+	0.0821582i
$633$	−0.0109411	−	0.0181437i	−0.000434868	−	0.000721147i
$634$	−3.44826	+	8.85679i	−0.136948	+	0.351748i
$635$	10.6262	−	2.47102i	0.421688	−	0.0980593i
$636$	−1.04101	−	0.439935i	−0.0412788	−	0.0174446i
$637$	−40.7701	−	26.2013i	−1.61537	−	1.03814i
$638$	0.00725137	+	7.81449i	0.000287084	+	0.309379i
$639$	6.99346	−	4.49443i	0.276657	−	0.177797i
$640$	−6.53677	+	1.13123i	−0.258389	+	0.0447159i
$641$	4.02753	+	46.8917i	0.159078	+	1.85211i	0.447095	+	0.894486i	$0.352458\pi$
$641$	4.02753	+	46.8917i	0.159078	+	1.85211i	−0.288017	+	0.957625i	$0.592996\pi$
$642$	−0.317795	+	3.70002i	−0.0125424	+	0.146028i
$643$	13.2200	+	2.28782i	0.521348	+	0.0902228i	0.425121	−	0.905137i	$-0.360232\pi$
$643$	13.2200	+	2.28782i	0.521348	+	0.0902228i	0.0962269	+	0.995359i	$0.469323\pi$
$644$	4.30609	−	1.81977i	0.169684	−	0.0717090i
$645$	−2.82910	+	2.05546i	−0.111396	+	0.0809337i
$646$	−39.4805	+	22.2957i	−1.55334	+	0.877212i
$647$	0.837014	+	29.2993i	0.0329064	+	1.15188i	0.833448	+	0.552598i	$0.186363\pi$
$647$	0.837014	+	29.2993i	0.0329064	+	1.15188i	−0.800542	+	0.599277i	$0.795455\pi$
$648$	22.6359	−	6.64649i	0.889221	−	0.261099i
$649$	−20.7461	−	0.573403i	−0.814357	−	0.0225080i
$650$	5.14667	+	1.51120i	0.201869	+	0.0592741i
$651$	−3.55772	+	13.5350i	−0.139438	+	0.530478i
$652$	1.06676	−	5.26468i	0.0417776	−	0.206181i
$653$	−1.69013	−	3.20314i	−0.0661397	−	0.125349i	0.849140	−	0.528168i	$-0.177121\pi$
$653$	−1.69013	−	3.20314i	−0.0661397	−	0.125349i	−0.915279	+	0.402820i	$0.868030\pi$
$654$	−0.185015	+	6.47637i	−0.00723466	+	0.253246i
$655$	3.58839	+	13.6517i	0.140210	+	0.533415i
$656$	−25.6390	+	1.46609i	−1.00104	+	0.0572413i
$657$	−32.4132	+	33.3524i	−1.26456	+	1.30120i
$658$	29.5029	−	14.5056i	1.15014	−	0.565486i
$659$	10.7196	−	23.4727i	0.417577	−	0.914365i	−0.577605	−	0.816316i	$-0.696013\pi$
$659$	10.7196	−	23.4727i	0.417577	−	0.914365i	0.995182	−	0.0980488i	$-0.0312601\pi$
$660$	0.421348	−	0.288685i	0.0164009	−	0.0112370i
$661$	−3.90766	−	8.55658i	−0.151990	−	0.332813i	0.818286	−	0.574811i	$-0.194924\pi$
$661$	−3.90766	−	8.55658i	−0.151990	−	0.332813i	−0.970277	+	0.241998i	$0.922197\pi$
$662$	14.4407	+	11.8081i	0.561255	+	0.458936i
$663$	−4.13875	+	7.84380i	−0.160736	+	0.304628i
$664$	11.1346	+	6.28801i	0.432107	+	0.244022i
$665$	−27.5004	+	3.15538i	−1.06642	+	0.122360i
$666$	22.3598	−	2.56555i	0.866426	−	0.0994131i
$667$	4.30884	+	2.43331i	0.166839	+	0.0942182i
$668$	−1.90037	+	3.60161i	−0.0735277	+	0.139350i
$669$	4.78843	+	3.91548i	0.185131	+	0.151381i
$670$	−0.790722	−	1.73144i	−0.0305482	−	0.0668913i
$671$	−6.33397	+	4.33969i	−0.244520	+	0.167532i
$672$	1.52513	−	3.33956i	0.0588330	−	0.128826i
$673$	29.8277	−	14.6653i	1.14977	−	0.565305i	0.236089	−	0.971731i	$-0.424134\pi$
$673$	29.8277	−	14.6653i	1.14977	−	0.565305i	0.913684	+	0.406426i	$0.133225\pi$
$674$	9.73319	−	10.0152i	0.374909	−	0.385772i
$675$	−2.18726	+	0.125072i	−0.0841875	+	0.00481402i
$676$	0.535912	+	2.03882i	0.0206120	+	0.0784162i
$677$	0.170315	−	5.96179i	0.00654573	−	0.229130i	−0.989732	−	0.142933i	$-0.954347\pi$
$677$	0.170315	−	5.96179i	0.00654573	−	0.229130i	0.996278	−	0.0861973i	$-0.0274715\pi$
$678$	2.55933	+	4.85048i	0.0982906	+	0.186281i
$679$	13.5065	−	66.6571i	0.518331	−	2.55807i
$680$	4.30651	−	16.3837i	0.165147	−	0.628284i
$681$	1.42619	+	0.418767i	0.0546517	+	0.0160472i
$682$	−36.4750	−	1.00813i	−1.39670	−	0.0386034i
$683$	−5.71098	+	1.67689i	−0.218524	+	0.0641646i	−0.389162	−	0.921169i	$-0.627235\pi$
$683$	−5.71098	+	1.67689i	−0.218524	+	0.0641646i	0.170638	+	0.985334i	$0.445417\pi$
$684$	−0.217202	−	7.60306i	−0.00830492	−	0.290710i
$685$	−6.30262	+	3.55925i	−0.240811	+	0.135992i
$686$	19.1729	−	13.9299i	0.732023	−	0.531846i
$687$	−5.81791	+	2.45867i	−0.221967	+	0.0938041i
$688$	−27.7104	−	4.79548i	−1.05645	−	0.182826i
$689$	−2.67310	+	31.1224i	−0.101837	+	1.18567i
$690$	0.106702	+	1.24231i	0.00406208	+	0.0472940i
$691$	31.1753	−	5.39510i	1.18597	−	0.205239i	0.456795	−	0.889572i	$-0.348997\pi$
$691$	31.1753	−	5.39510i	1.18597	−	0.205239i	0.729170	+	0.684333i	$0.239906\pi$
$692$	−2.63605	+	1.69408i	−0.100207	+	0.0643994i
$693$	0.0377450	+	40.6762i	0.00143381	+	1.54516i
$694$	22.8489	+	14.6841i	0.867332	+	0.557400i
$695$	18.3499	+	7.75473i	0.696051	+	0.294154i
$696$	2.06932	−	0.481199i	0.0784372	−	0.0182398i
$697$	17.2724	−	44.3637i	0.654238	−	1.68040i
$698$	16.8549	+	27.9508i	0.637969	+	1.05795i
$699$	−1.41059	+	4.34134i	−0.0533533	+	0.164205i
$700$	1.07859	−	1.39874i	0.0407670	−	0.0528676i
$701$	−4.52721	−	11.6281i	−0.170990	−	0.439185i	0.820126	−	0.572183i	$-0.193903\pi$
$701$	−4.52721	−	11.6281i	−0.170990	−	0.439185i	−0.991116	+	0.132998i	$0.957540\pi$
$702$	6.63304	+	9.70052i	0.250348	+	0.366122i
$703$	5.73667	−	39.8994i	0.216363	−	1.50484i
$704$	28.9325	+	5.83453i	1.09043	+	0.219897i
$705$	−0.323702	−	2.25140i	−0.0121913	−	0.0847926i
$706$	−26.1193	+	23.9721i	−0.983014	+	0.902202i
$707$	−12.4450	−	0.711633i	−0.468044	−	0.0267637i
$708$	0.191374	+	0.944469i	0.00719228	+	0.0354953i
$709$	11.2504	−	9.19940i	0.422518	−	0.345491i	−0.397727	−	0.917504i	$-0.630201\pi$
$709$	11.2504	−	9.19940i	0.422518	−	0.345491i	0.820245	+	0.572013i	$0.193837\pi$
$710$	−3.28687	−	1.61605i	−0.123354	−	0.0606492i
$711$	−1.92480	+	0.686766i	−0.0721856	+	0.0257558i
$712$	31.9638	+	41.4514i	1.19790	+	1.55346i
$713$	−11.9320	+	19.7870i	−0.446857	+	0.741028i
$714$	−7.37288	−	8.50876i	−0.275923	−	0.318432i
$715$	−11.1874	−	8.61021i	−0.418384	−	0.322004i
$716$	−1.16149	+	1.34043i	−0.0434069	+	0.0500942i
$717$	−1.08994	−	3.35448i	−0.0407044	−	0.125275i
$718$	−29.2078	−	10.4213i	−1.09003	−	0.388921i
$719$	−21.9393	−	22.5750i	−0.818196	−	0.841904i	0.171486	−	0.985187i	$-0.445143\pi$
$719$	−21.9393	−	22.5750i	−0.818196	−	0.841904i	−0.989682	+	0.143283i	$0.954234\pi$
$720$	−6.33536	−	5.81454i	−0.236105	−	0.216695i
$721$	−19.9545	+	29.1825i	−0.743145	+	1.08681i
$722$	27.8321	+	6.47209i	1.03581	+	0.240866i
$723$	−8.32682	−	6.04979i	−0.309678	−	0.224994i
$724$	2.23844	+	0.256837i	0.0831910	+	0.00954527i
$725$	1.86969			0.0694386
$726$	5.04541	−	1.18313i	0.187253	−	0.0439102i
$727$	−35.2951			−1.30902			−0.654512	−	0.756052i	$-0.727126\pi$
$727$	−35.2951			−1.30902			−0.654512	+	0.756052i	$0.727126\pi$
$728$	−55.1126	−	6.32358i	−2.04261	−	0.234368i
$729$	15.9726	+	11.6047i	0.591576	+	0.429805i
$730$	19.9584	+	4.64112i	0.738692	+	0.171775i
$731$	29.4263	−	43.0347i	1.08837	−	1.59169i
$732$	0.262655	+	0.241063i	0.00970801	+	0.00890994i
$733$	10.9032	+	11.2191i	0.402719	+	0.414388i	0.887908	−	0.460021i	$-0.152158\pi$
$733$	10.9032	+	11.2191i	0.402719	+	0.414388i	−0.485189	+	0.874409i	$0.661249\pi$
$734$	28.6341	+	10.2166i	1.05690	+	0.377102i
$735$	−1.31535	−	4.04822i	−0.0485173	−	0.149321i
$736$	3.96950	−	4.58105i	0.146318	−	0.168860i
$737$	0.290633	+	5.00116i	0.0107056	+	0.184220i
$738$	−20.1624	−	23.2687i	−0.742189	−	0.856531i
$739$	−8.73495	+	14.4853i	−0.321320	+	0.532850i	−0.974510	−	0.224345i	$-0.927976\pi$
$739$	−8.73495	+	14.4853i	−0.321320	+	0.532850i	0.653190	+	0.757194i	$0.273430\pi$
$740$	1.57068	+	2.03689i	0.0577393	+	0.0748777i
$741$	9.67520	−	3.45210i	0.355427	−	0.126816i
$742$	−35.5861	−	17.4965i	−1.30641	−	0.642318i
$743$	24.8584	−	20.3266i	0.911965	−	0.745710i	−0.0555676	−	0.998455i	$-0.517697\pi$
$743$	24.8584	−	20.3266i	0.911965	−	0.745710i	0.967533	+	0.252744i	$0.0813332\pi$
$744$	1.97007	+	9.72267i	0.0722262	+	0.356450i
$745$	0.273721	+	0.0156520i	0.0100284	+	0.000573443i
$746$	−17.0290	+	15.6291i	−0.623478	+	0.572222i
$747$	1.71252	+	11.9109i	0.0626580	+	0.435796i
$748$	−4.46996	+	6.16439i	−0.163438	+	0.225393i
$749$	4.81022	−	33.4558i	0.175762	−	1.22245i
$750$	0.265918	+	0.388893i	0.00970996	+	0.0142004i
$751$	12.4358	+	31.9412i	0.453790	+	1.16555i	0.954043	+	0.299670i	$0.0968766\pi$
$751$	12.4358	+	31.9412i	0.453790	+	1.16555i	−0.500253	+	0.865879i	$0.666760\pi$
$752$	11.1698	−	14.4853i	0.407322	−	0.528225i
$753$	1.52938	−	4.70695i	0.0557337	−	0.171531i
$754$	−5.17891	−	8.58826i	−0.188605	−	0.312766i
$755$	−0.395132	+	1.01489i	−0.0143803	+	0.0369356i
$756$	3.76912	−	0.876470i	0.137081	−	0.0318769i
$757$	0.200652	+	0.0847963i	0.00729283	+	0.00308197i	0.392913	−	0.919575i	$-0.371467\pi$
$757$	0.200652	+	0.0847963i	0.00729283	+	0.00308197i	−0.385621	+	0.922657i	$0.626013\pi$
$758$	−5.38959	−	3.46368i	−0.195759	−	0.125807i
$759$	0.921616	−	3.14955i	0.0334526	−	0.114321i
$760$	−16.5069	+	10.6083i	−0.598767	+	0.384804i
$761$	27.8712	−	4.82329i	1.01033	−	0.174844i	0.358757	−	0.933431i	$-0.383201\pi$
$761$	27.8712	−	4.82329i	1.01033	−	0.174844i	0.651572	+	0.758587i	$0.274110\pi$
$762$	−0.439834	−	5.12089i	−0.0159335	−	0.185510i
$763$	5.04626	−	58.7526i	0.182687	−	2.12699i
$764$	1.89232	+	0.327478i	0.0684616	+	0.0118477i
$765$	14.6838	−	6.20543i	0.530895	−	0.224358i
$766$	−7.14255	+	5.18937i	−0.258071	+	0.187499i
$767$	23.1925	−	13.0974i	0.837434	−	0.472920i
$768$	−0.100758	−	3.52698i	−0.00363579	−	0.127269i
$769$	−20.8876	+	6.13316i	−0.753226	+	0.221167i	−0.635736	−	0.771907i	$-0.719303\pi$
$769$	−20.8876	+	6.13316i	−0.753226	+	0.221167i	−0.117491	+	0.993074i	$0.537485\pi$
$770$	15.3384	−	9.26882i	0.552758	−	0.334025i
$771$	2.86051	+	0.839921i	0.103019	+	0.0302490i
$772$	−2.86646	+	10.9052i	−0.103166	+	0.392485i
$773$	−1.26763	+	6.25599i	−0.0455934	+	0.225012i	−0.996400	−	0.0847715i	$-0.972984\pi$
$773$	−1.26763	+	6.25599i	−0.0455934	+	0.225012i	0.950807	+	0.309784i	$0.100257\pi$
$774$	−15.7341	−	29.8194i	−0.565550	−	1.07184i
$775$	−0.249303	+	8.72676i	−0.00895525	+	0.313474i
$776$	−12.2560	−	46.6266i	−0.439965	−	1.67380i
$777$	9.99304	−	0.571423i	0.358498	−	0.0204997i
$778$	16.2845	−	16.7564i	0.583829	−	0.600746i
$779$	−49.4857	+	24.3305i	−1.77301	+	0.871730i
$780$	−0.272301	+	0.596257i	−0.00974996	+	0.0213494i
$781$	6.52465	+	7.09585i	0.233470	+	0.253909i
$782$	−7.72208	−	16.9090i	−0.276141	−	0.604664i
$783$	3.17102	+	2.59293i	0.113323	+	0.0926637i
$784$	15.9745	−	30.2750i	0.570517	−	1.08125i
$785$	18.7377	+	10.5817i	0.668777	+	0.377675i
$786$	6.60664	−	0.758042i	0.235651	−	0.0270384i
$787$	14.5723	−	1.67202i	0.519446	−	0.0596009i	0.149696	−	0.988732i	$-0.452171\pi$
$787$	14.5723	−	1.67202i	0.519446	−	0.0596009i	0.369750	+	0.929131i	$0.379443\pi$
$788$	−6.74622	−	3.80977i	−0.240324	−	0.135717i
$789$	1.88198	−	3.56675i	0.0670002	−	0.126980i
$790$	0.697042	+	0.569968i	0.0247996	+	0.0202786i
$791$	−20.7356	−	45.4046i	−0.737272	−	1.61440i
$792$	12.7460	+	25.8634i	0.452909	+	0.919015i
$793$	4.09341	−	8.96331i	0.145361	−	0.318296i
$794$	−20.8414	+	10.2470i	−0.739634	+	0.363654i
$795$	−1.91208	+	1.96748i	−0.0678145	+	0.0697795i
$796$	−1.29105	+	0.0738247i	−0.0457599	+	0.00261665i
$797$	−9.70072	−	36.9054i	−0.343617	−	1.30725i	−0.884651	−	0.466254i	$-0.845603\pi$
$797$	−9.70072	−	36.9054i	−0.343617	−	1.30725i	0.541034	−	0.841001i	$-0.318033\pi$
$798$	−0.372396	+	13.0356i	−0.0131827	+	0.461454i
$799$	15.8245	+	29.9907i	0.559829	+	1.06099i
$800$	0.454828	−	2.24466i	0.0160806	−	0.0793608i
$801$	−12.5221	+	47.6390i	−0.442447	+	1.68324i
$802$	−30.6227	−	8.99162i	−1.08132	−	0.317505i
$803$	−44.5451	−	30.3985i	−1.57196	−	1.07274i
$804$	0.223186	−	0.0655333i	0.00787116	−	0.00231118i
$805$	−0.324070	−	11.3439i	−0.0114220	−	0.399821i
$806$	40.7761	−	23.0273i	1.43628	−	0.811103i
$807$	2.03149	−	1.47597i	0.0715119	−	0.0519565i
$808$	−8.13918	+	3.43965i	−0.286335	+	0.121006i
$809$	−13.5914	−	2.35208i	−0.477847	−	0.0826947i	−0.0734900	−	0.997296i	$-0.523414\pi$
$809$	−13.5914	−	2.35208i	−0.477847	−	0.0826947i	−0.404357	+	0.914601i	$0.632505\pi$
$810$	0.837023	−	9.74528i	0.0294100	−	0.342414i
$811$	−0.933783	−	10.8718i	−0.0327896	−	0.381762i	−0.994271	−	0.106891i	$-0.965910\pi$
$811$	−0.933783	−	10.8718i	−0.0327896	−	0.381762i	0.961481	−	0.274871i	$-0.0886351\pi$
$812$	−3.25409	+	0.563142i	−0.114196	+	0.0197624i
$813$	9.43927	−	6.06625i	0.331050	−	0.212753i
$814$	7.37581	+	25.0338i	0.258522	+	0.877433i
$815$	−10.9701	−	7.05006i	−0.384266	−	0.246953i
$816$	−5.77010	−	2.43847i	−0.201994	−	0.0853634i
$817$	−58.8165	+	13.6772i	−2.05773	+	0.478505i
$818$	1.53542	−	3.94371i	0.0536849	−	0.137888i
$819$	−26.9574	−	44.7038i	−0.941967	−	1.56208i
$820$	1.08734	−	3.34648i	0.0379714	−	0.116864i
$821$	−33.3728	+	43.2786i	−1.16472	+	1.51043i	−0.344119	+	0.938926i	$0.611822\pi$
$821$	−33.3728	+	43.2786i	−1.16472	+	1.51043i	−0.820598	+	0.571506i	$0.806359\pi$
$822$	1.23718	+	3.17768i	0.0431517	+	0.110834i
$823$	−12.0865	−	17.6760i	−0.421310	−	0.616146i	0.555175	−	0.831734i	$-0.312651\pi$
$823$	−12.0865	−	17.6760i	−0.421310	−	0.616146i	−0.976484	+	0.215588i	$0.930833\pi$
$824$	−3.56639	+	24.8048i	−0.124241	+	0.864116i
$825$	−0.281956	−	1.20742i	−0.00981644	−	0.0420371i
$826$	4.81209	+	33.4688i	0.167434	+	1.16453i
$827$	29.7898	−	27.3408i	1.03589	−	0.950733i	0.0370728	−	0.999313i	$-0.488197\pi$
$827$	29.7898	−	27.3408i	1.03589	−	0.950733i	0.998819	+	0.0485794i	$0.0154694\pi$
$828$	3.11327	+	0.178023i	0.108194	+	0.00618674i
$829$	−2.78481	−	13.7436i	−0.0967206	−	0.477335i	−0.998939	−	0.0460553i	$-0.985335\pi$
$829$	−2.78481	−	13.7436i	−0.0967206	−	0.477335i	0.902218	−	0.431280i	$-0.141938\pi$
$830$	4.10430	−	3.35607i	0.142462	−	0.116491i
$831$	−3.66605	−	1.80248i	−0.127174	−	0.0625272i
$832$	−35.6758	+	12.7291i	−1.23684	+	0.441302i
$833$	38.7503	+	50.2523i	1.34262	+	1.74114i
$834$	4.84649	−	8.03700i	0.167820	−	0.278299i
$835$	6.47374	+	7.47110i	0.224033	+	0.258548i
$836$	8.64252	−	1.75955i	0.298908	−	0.0608553i
$837$	−12.5253	+	14.4549i	−0.432937	+	0.499636i
$838$	5.80794	+	17.8750i	0.200632	+	0.617482i
$839$	17.8355	+	6.36370i	0.615750	+	0.219699i	0.625463	−	0.780254i	$-0.284910\pi$
$839$	17.8355	+	6.36370i	0.615750	+	0.219699i	−0.00971321	+	0.999953i	$0.503092\pi$
$840$	−3.39569	−	3.49408i	−0.117163	−	0.120557i
$841$	18.7900	+	17.2453i	0.647932	+	0.594667i
$842$	−15.5698	+	22.7701i	−0.536570	+	0.784709i
$843$	−7.42636	−	1.72693i	−0.255777	−	0.0594785i
$844$	0.0188871	+	0.0137223i	0.000650120	+	0.000472340i
$845$	5.08419	+	0.583356i	0.174901	+	0.0200681i
$846$	21.9300			0.753970
$847$	−46.4608	+	8.12919i	−1.59641	+	0.279322i
$848$	−22.0634			−0.757661
$849$	−0.786117	−	0.0901986i	−0.0269795	−	0.00309561i
$850$	−5.68213	−	4.12831i	−0.194895	−	0.141600i
$851$	16.0966	+	3.74311i	0.551785	+	0.128312i
$852$	0.252640	−	0.369474i	0.00865529	−	0.0126580i
$853$	−31.5367	−	28.9442i	−1.07980	−	0.991029i	−0.0798139	−	0.996810i	$-0.525433\pi$
$853$	−31.5367	−	28.9442i	−1.07980	−	0.991029i	−0.999983	+	0.00578087i	$0.998160\pi$
$854$	8.71813	+	8.97074i	0.298328	+	0.306972i
$855$	−17.3908	−	6.20502i	−0.594753	−	0.212207i
$856$	−7.40380	−	22.7866i	−0.253057	−	0.778828i
$857$	−29.4968	+	34.0412i	−1.00759	+	1.16282i	−0.0209736	+	0.999780i	$0.506677\pi$
$857$	−29.4968	+	34.0412i	−1.00759	+	1.16282i	−0.986619	+	0.163044i	$0.947869\pi$
$858$	−4.76519	+	4.63961i	−0.162681	+	0.158394i
$859$	−10.2528	−	11.8324i	−0.349821	−	0.403715i	0.553383	−	0.832927i	$-0.313337\pi$
$859$	−10.2528	−	11.8324i	−0.349821	−	0.403715i	−0.903204	+	0.429212i	$0.858791\pi$
$860$	1.98979	−	3.29969i	0.0678512	−	0.112519i
$861$	−8.36146	−	10.8433i	−0.284958	−	0.369540i
$862$	24.2810	−	8.66343i	0.827013	−	0.295078i
$863$	19.8950	+	9.78172i	0.677234	+	0.332973i	0.747222	−	0.664574i	$-0.231387\pi$
$863$	19.8950	+	9.78172i	0.677234	+	0.332973i	−0.0699883	+	0.997548i	$0.522296\pi$
$864$	3.88434	−	3.17621i	0.132148	−	0.108057i
$865$	1.51063	+	7.45527i	0.0513631	+	0.253487i
$866$	13.9212	+	0.796041i	0.473061	+	0.0270506i
$867$	3.87323	−	3.55482i	0.131542	−	0.120728i
$868$	−2.19456	−	15.2635i	−0.0744882	−	0.518077i
$869$	−1.16719	−	2.06236i	−0.0395943	−	0.0699606i
$870$	0.125357	−	0.871875i	0.00424999	−	0.0295593i
$871$	−3.62892	−	5.30712i	−0.122961	−	0.179825i
$872$	−15.1655	−	38.9523i	−0.513569	−	1.31909i
$873$	27.7035	−	35.9266i	0.937623	−	1.21593i
$874$	−6.65355	+	20.4775i	−0.225060	+	0.692663i
$875$	−2.21425	−	3.67191i	−0.0748552	−	0.124133i
$876$	−0.908491	+	2.33344i	−0.0306951	+	0.0788397i
$877$	−18.5872	+	4.32227i	−0.627645	+	0.145953i	−0.528241	−	0.849095i	$-0.677148\pi$
$877$	−18.5872	+	4.32227i	−0.627645	+	0.145953i	−0.0994042	+	0.995047i	$0.531694\pi$
$878$	6.82758	+	2.88536i	0.230420	+	0.0973762i
$879$	0.751036	+	0.482662i	0.0253318	+	0.0162798i
$880$	5.38309	−	8.39336i	0.181464	−	0.282940i
$881$	−11.5537	+	7.42514i	−0.389255	+	0.250159i	−0.720601	−	0.693350i	$-0.756134\pi$
$881$	−11.5537	+	7.42514i	−0.389255	+	0.250159i	0.331345	+	0.943510i	$0.392498\pi$
$882$	40.4384	−	6.99815i	1.36163	−	0.235640i
$883$	3.78031	+	44.0134i	0.127218	+	1.48117i	0.730101	+	0.683339i	$0.239473\pi$
$883$	3.78031	+	44.0134i	0.127218	+	1.48117i	−0.602884	+	0.797829i	$0.705982\pi$
$884$	0.836258	−	9.73638i	0.0281264	−	0.327470i
$885$	2.30511	+	0.398915i	0.0774855	+	0.0134094i
$886$	−0.236140	+	0.0997936i	−0.00793328	+	0.00335263i
$887$	0.678071	−	0.492647i	0.0227674	−	0.0165415i	−0.576343	−	0.817208i	$-0.695521\pi$
$887$	0.678071	−	0.492647i	0.0227674	−	0.0165415i	0.599111	+	0.800666i	$0.295521\pi$
$888$	6.17811	−	3.48894i	0.207324	−	0.117081i
$889$	1.33584	+	46.7604i	0.0448025	+	1.56829i
$890$	20.8231	−	6.11420i	0.697991	−	0.204949i
$891$	−11.3367	+	23.1119i	−0.379795	+	0.774278i
$892$	−6.53953	−	1.92018i	−0.218960	−	0.0642923i
$893$	9.98498	−	37.9868i	0.334135	−	1.27118i
$894$	0.0256510	−	0.126592i	0.000857897	−	0.00423389i
$895$	2.00932	+	3.80808i	0.0671641	+	0.127290i
$896$	0.812290	−	28.4338i	0.0271367	−	0.949908i
$897$	1.07065	+	4.07318i	0.0357480	+	0.136000i
$898$	8.07303	−	0.461633i	0.269401	−	0.0154049i
$899$	11.3761	−	11.7057i	0.379415	−	0.390408i
$900$	1.05734	−	0.519857i	0.0352445	−	0.0173286i
$901$	16.9910	−	37.2052i	0.566054	−	1.23949i
$902$	22.5739	−	27.6590i	0.751628	−	0.920945i
$903$	−6.22894	−	13.6395i	−0.207286	−	0.453894i
$904$	−27.3913	−	22.3977i	−0.911020	−	0.744937i
$905$	2.55251	−	4.83755i	0.0848484	−	0.160806i
$906$	0.446771	+	0.252303i	0.0148430	+	0.00838221i
$907$	6.52876	−	0.749106i	0.216784	−	0.0248736i	−0.00491896	−	0.999988i	$-0.501566\pi$
$907$	6.52876	−	0.749106i	0.216784	−	0.0248736i	0.221703	+	0.975114i	$0.428838\pi$
$908$	−1.62715	+	0.186698i	−0.0539988	+	0.00619579i
$909$	−7.24031	−	4.08879i	−0.240146	−	0.135617i
$910$	−10.7333	+	20.3419i	−0.355806	+	0.674327i
$911$	−12.6344	−	10.3311i	−0.418596	−	0.342284i	0.400141	−	0.916454i	$-0.368961\pi$
$911$	−12.6344	−	10.3311i	−0.418596	−	0.342284i	−0.818736	+	0.574170i	$0.805325\pi$
$912$	3.01417	+	6.60010i	0.0998090	+	0.218551i
$913$	−13.2665	+	4.32416i	−0.439056	+	0.143109i
$914$	−7.74836	+	16.9665i	−0.256293	+	0.561203i
$915$	0.776661	−	0.381858i	0.0256756	−	0.0126238i
$916$	4.85037	−	4.99091i	0.160261	−	0.164904i
$917$	−60.4263	+	3.45530i	−1.99545	+	0.114104i
$918$	−3.91173	−	14.8818i	−0.129106	−	0.491171i
$919$	−0.527500	+	18.4649i	−0.0174006	+	0.609102i	0.943368	+	0.331749i	$0.107639\pi$
$919$	−0.527500	+	18.4649i	−0.0174006	+	0.609102i	−0.960768	+	0.277352i	$0.910543\pi$
$920$	−3.75410	−	7.11481i	−0.123769	−	0.234568i
$921$	0.0179570	−	0.0886211i	0.000591702	−	0.00292016i
$922$	2.06076	−	7.83995i	0.0678676	−	0.258195i
$923$	−11.8701	−	3.48538i	−0.390709	−	0.114723i
$924$	0.854397	+	2.01653i	0.0281076	+	0.0663388i
$925$	5.99120	−	1.75917i	0.196989	−	0.0578413i
$926$	−0.231412	−	8.10048i	−0.00760467	−	0.266198i
$927$	−20.5340	+	11.5961i	−0.674424	+	0.380865i
$928$	−3.46430	+	2.51696i	−0.113721	+	0.0826234i
$929$	35.1048	−	14.8354i	1.15175	−	0.486734i	0.272059	−	0.962280i	$-0.412295\pi$
$929$	35.1048	−	14.8354i	1.15175	−	0.486734i	0.879690	+	0.475547i	$0.157750\pi$
$930$	4.05275	+	0.701356i	0.132895	+	0.0229984i
$931$	6.28999	−	73.2330i	0.206146	−	2.40012i
$932$	−0.430424	−	5.01133i	−0.0140990	−	0.164152i
$933$	−2.09280	+	0.362174i	−0.0685153	+	0.0118570i
$934$	−30.9017	+	19.8593i	−1.01114	+	0.649817i
$935$	10.0081	+	15.5411i	0.327299	+	0.508250i
$936$	−31.1300	−	20.0060i	−1.01751	−	0.653917i
$937$	−34.1458	−	14.4302i	−1.11550	−	0.471413i	−0.247952	−	0.968772i	$-0.579757\pi$
$937$	−34.1458	−	14.4302i	−1.11550	−	0.471413i	−0.867544	+	0.497360i	$0.834303\pi$
$938$	7.94964	−	1.84861i	0.259565	−	0.0603593i
$939$	−0.100957	+	0.259307i	−0.00329462	+	0.00846217i
$940$	1.29423	+	2.14624i	0.0422132	+	0.0700027i
$941$	13.2848	−	40.8864i	0.433072	−	1.33286i	−0.461977	−	0.886892i	$-0.652860\pi$
$941$	13.2848	−	40.8864i	0.433072	−	1.33286i	0.895049	−	0.445968i	$-0.147140\pi$
$942$	6.19074	−	8.02830i	0.201705	−	0.261576i
$943$	−8.20222	−	21.0672i	−0.267101	−	0.686044i
$944$	10.6189	+	15.5297i	0.345617	+	0.505449i
$945$	1.33690	−	9.29837i	0.0434895	−	0.302476i
$946$	30.9378	−	23.9024i	1.00587	−	0.777133i
$947$	−4.24190	−	29.5030i	−0.137843	−	0.958720i	−0.934924	−	0.354848i	$-0.884533\pi$
$947$	−4.24190	−	29.5030i	−0.137843	−	0.958720i	0.797081	−	0.603873i	$-0.206376\pi$
$948$	−0.0810656	+	0.0744014i	−0.00263289	+	0.00241644i
$949$	69.0982	+	3.95118i	2.24302	+	0.128261i
$950$	1.61559	+	7.97325i	0.0524166	+	0.258686i
$951$	−2.18274	+	1.78482i	−0.0707803	+	0.0578768i
$952$	65.1847	+	32.0491i	2.11265	+	1.03872i
$953$	32.4050	−	11.5621i	1.04970	−	0.374533i	0.245816	−	0.969317i	$-0.420944\pi$
$953$	32.4050	−	11.5621i	1.04970	−	0.374533i	0.803886	+	0.594784i	$0.202762\pi$
$954$	−16.1528	−	20.9473i	−0.522965	−	0.678193i
$955$	2.40747	−	3.99234i	0.0779038	−	0.129189i
$956$	2.54507	+	2.93717i	0.0823135	+	0.0949948i
$957$	−1.13808	+	2.01966i	−0.0367890	+	0.0652863i
$958$	23.4942	−	27.1137i	0.759063	−	0.876005i
$959$	−9.59077	−	29.5173i	−0.309702	−	0.953165i
$960$	−3.13341	−	1.11800i	−0.101130	−	0.0360832i
$961$	31.5145	+	32.4276i	1.01660	+	1.04605i
$962$	−24.6758	−	22.6472i	−0.795579	−	0.730176i
$963$	12.7261	−	18.6113i	0.410093	−	0.599742i
$964$	11.0463	+	2.56871i	0.355778	+	0.0827327i
$965$	22.1448	+	16.0892i	0.712867	+	0.517928i
$966$	−5.31163	−	0.609453i	−0.170899	−	0.0196088i
$967$	−33.0738			−1.06358			−0.531790	−	0.846876i	$-0.678481\pi$
$967$	−33.0738			−1.06358			−0.531790	+	0.846876i	$0.678481\pi$
$968$	−27.0124	+	19.7024i	−0.868211	+	0.633258i
$969$	−13.4509			−0.432104
$970$	−19.8581	−	2.27850i	−0.637604	−	0.0731582i
$971$	−12.6988	−	9.22625i	−0.407525	−	0.296084i	0.365074	−	0.930979i	$-0.381044\pi$
$971$	−12.6988	−	9.22625i	−0.407525	−	0.296084i	−0.772599	+	0.634894i	$0.781044\pi$
$972$	3.80128	+	0.883950i	0.121926	+	0.0283527i
$973$	−48.2145	+	70.5114i	−1.54569	+	2.26049i
$974$	−10.0451	−	9.21932i	−0.321866	−	0.295406i
$975$	1.10901	+	1.14115i	0.0355168	+	0.0365460i
$976$	6.55520	+	2.33889i	0.209827	+	0.0748661i
$977$	−17.4296	−	53.6428i	−0.557623	−	1.71619i	−0.688915	−	0.724842i	$-0.741913\pi$
$977$	−17.4296	−	53.6428i	−0.557623	−	1.71619i	0.131293	−	0.991344i	$-0.458087\pi$
$978$	−4.02310	+	4.64290i	−0.128645	+	0.148464i
$979$	−56.9119	−	4.83497i	−1.81891	−	0.154526i
$980$	3.07142	+	3.54461i	0.0981129	+	0.113228i
$981$	20.3127	−	33.6848i	0.648535	−	1.07547i
$982$	−19.7288	−	25.5847i	−0.629570	−	0.816441i
$983$	14.9417	−	5.33118i	0.476565	−	0.170038i	−0.0868342	−	0.996223i	$-0.527675\pi$
$983$	14.9417	−	5.33118i	0.476565	−	0.170038i	0.563399	+	0.826185i	$0.309493\pi$
$984$	−8.71033	−	4.28258i	−0.277675	−	0.136524i
$985$	−14.5601	+	11.9057i	−0.463923	+	0.379348i
$986$	2.60784	+	12.8702i	0.0830507	+	0.409871i
$987$	9.73707	+	0.556786i	0.309935	+	0.0177227i
$988$	−8.33926	+	7.65370i	−0.265307	+	0.243497i
$989$	−3.52327	−	24.5049i	−0.112033	−	0.779210i
$990$	11.9097	−	1.03406i	0.378517	−	0.0328647i
$991$	5.10503	−	35.5062i	0.162166	−	1.12789i	−0.732373	−	0.680904i	$-0.761587\pi$
$991$	5.10503	−	35.5062i	0.162166	−	1.12789i	0.894539	−	0.446989i	$-0.147504\pi$
$992$	−11.2860	−	16.5052i	−0.358330	−	0.524041i
$993$	2.00772	+	5.15680i	0.0637132	+	0.163646i
$994$	9.59026	−	12.4369i	0.304185	−	0.394474i
$995$	−0.970081	+	2.98560i	−0.0307536	+	0.0946500i
$996$	0.334570	+	0.554821i	0.0106012	+	0.0175802i
$997$	−1.21423	+	3.11873i	−0.0384551	+	0.0987712i	−0.949782	−	0.312912i	$-0.898695\pi$
$997$	−1.21423	+	3.11873i	−0.0384551	+	0.0987712i	0.911327	+	0.411683i	$0.135059\pi$
$998$	−37.7984	+	8.78964i	−1.19649	+	0.278231i
$999$	12.6008	+	5.32514i	0.398672	+	0.168480i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	605.2.s.b.16.14	✓	880
121.53	even	55	inner	605.2.s.b.416.14	yes	880

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
605.2.s.b.16.14	✓	880	1.1	even	1	trivial
605.2.s.b.416.14	yes	880	121.53	even	55	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 605 = 5 \cdot 11^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	605.s (of order \(55\), degree \(40\), minimal)

\(f(q)\)	\(=\)	\(q+(1.25197 + 0.143650i) q^{2} +(0.302448 + 0.219741i) q^{3} +(-0.401226 - 0.0933012i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.347090 + 0.318557i) q^{6} +(-2.98838 - 3.07497i) q^{7} +(-2.86272 - 1.02142i) q^{8} +(-0.883862 - 2.72025i) q^{9} +O(q^{10})\)	\(q+(1.25197 + 0.143650i) q^{2} +(0.302448 + 0.219741i) q^{3} +(-0.401226 - 0.0933012i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(0.347090 + 0.318557i) q^{6} +(-2.98838 - 3.07497i) q^{7} +(-2.86272 - 1.02142i) q^{8} +(-0.883862 - 2.72025i) q^{9} +(-0.825246 + 0.952385i) q^{10} +(2.93189 - 1.55048i) q^{11} +(-0.100848 - 0.116385i) q^{12} +(-2.19803 + 3.64502i) q^{13} +(-3.29965 - 4.27906i) q^{14} +(-0.352105 + 0.125631i) q^{15} +(-2.69798 - 1.32651i) q^{16} +(4.31459 - 3.52802i) q^{17} +(-0.715806 - 3.53264i) q^{18} +(-6.44509 - 0.368544i) q^{19} +(0.303487 - 0.278538i) q^{20} +(-0.228131 - 1.58669i) q^{21} +(3.89338 - 1.51999i) q^{22} +(0.376659 - 2.61972i) q^{23} +(-0.641376 - 0.937983i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-3.27548 + 4.24772i) q^{26} +(0.677003 - 2.08360i) q^{27} +(0.912118 + 1.51258i) q^{28} +(-0.678338 + 1.74230i) q^{29} +(-0.458872 + 0.106706i) q^{30} +(-8.04170 - 3.39845i) q^{31} +(1.92671 + 1.23822i) q^{32} +(1.22745 + 0.175318i) q^{33} +(5.90854 - 3.79719i) q^{34} +(4.22507 - 0.731177i) q^{35} +(0.100826 + 1.17390i) q^{36} +(-0.534341 + 6.22122i) q^{37} +(-8.01613 - 1.38725i) q^{38} +(-1.46575 + 0.619432i) q^{39} +(2.45899 - 1.78656i) q^{40} +(7.43786 - 4.20035i) q^{41} +(-0.0576856 - 2.01926i) q^{42} +(8.97510 - 2.63533i) q^{43} +(-1.32101 + 0.348545i) q^{44} +(2.74438 + 0.805822i) q^{45} +(0.847891 - 3.22571i) q^{46} +(-1.20826 + 5.96301i) q^{47} +(-0.524511 - 0.994058i) q^{48} +(-0.325135 + 11.3812i) q^{49} +(-0.320362 - 1.21878i) q^{50} +(2.08019 - 0.118950i) q^{51} +(1.22199 - 1.25740i) q^{52} +(6.58574 - 3.23799i) q^{53} +(1.14690 - 2.51136i) q^{54} +(-0.375009 + 3.29536i) q^{55} +(5.41407 + 11.8552i) q^{56} +(-1.86832 - 1.52772i) q^{57} +(-1.09954 + 2.08386i) q^{58} +(-5.44877 - 3.07706i) q^{59} +(0.152995 - 0.0175546i) q^{60} +(-2.29992 + 0.263891i) q^{61} +(-9.57980 - 5.40996i) q^{62} +(-5.72337 + 10.8470i) q^{63} +(6.88915 + 5.63323i) q^{64} +(-1.76820 - 3.87182i) q^{65} +(1.51155 + 0.395817i) q^{66} +(-0.627464 + 1.37396i) q^{67} +(-2.06029 + 1.01298i) q^{68} +(0.689581 - 0.709562i) q^{69} +(5.39470 - 0.308480i) q^{70} +(0.738873 + 2.81097i) q^{71} +(-0.248256 + 8.69010i) q^{72} +(-7.58811 - 14.3811i) q^{73} +(-1.56266 + 7.71204i) q^{74} +(0.0950386 - 0.361564i) q^{75} +(2.55155 + 0.749204i) q^{76} +(-13.5293 - 4.38206i) q^{77} +(-1.92406 + 0.564956i) q^{78} +(-0.0204034 - 0.714211i) q^{79} +(2.61785 - 1.47837i) q^{80} +(-6.27933 + 4.56220i) q^{81} +(9.91537 - 4.19027i) q^{82} +(-4.14550 - 0.717406i) q^{83} +(-0.0565076 + 0.657906i) q^{84} +(0.476942 + 5.55294i) q^{85} +(11.6151 - 2.01008i) q^{86} +(-0.588017 + 0.377896i) q^{87} +(-9.97688 + 1.44391i) q^{88} +(-14.4876 - 9.31059i) q^{89} +(3.32013 + 1.40310i) q^{90} +(17.7769 - 4.13384i) q^{91} +(-0.395549 + 1.01596i) q^{92} +(-1.68542 - 2.79495i) q^{93} +(-2.36930 + 7.29195i) q^{94} +(3.94211 - 5.11222i) q^{95} +(0.310640 + 0.797874i) q^{96} +(8.95287 + 13.0932i) q^{97} +(-2.04197 + 14.2022i) q^{98} +(-6.80909 - 6.60507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9}+O(q^{10}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9	\( 880 q + 4 q^{2} - q^{3} + 24 q^{4} + 22 q^{5} - 13 q^{6} + 3 q^{7} + 2 q^{8} - 217 q^{9} - 6 q^{10} + 5 q^{11} - 5 q^{12} - 26 q^{13} - 108 q^{14} - 12 q^{15} + 34 q^{16} - q^{17} - 14 q^{18} + q^{19} + 19 q^{20} - 10 q^{21} + 275 q^{22} - 51 q^{23} + 283 q^{24} + 22 q^{25} - 16 q^{27} - 4 q^{28} - 19 q^{29} + q^{30} - 34 q^{31} - 122 q^{32} + 19 q^{33} + 52 q^{34} + 8 q^{35} - 21 q^{36} - 109 q^{37} - 10 q^{38} - 9 q^{39} - 64 q^{40} + 4 q^{41} - 49 q^{42} - 97 q^{43} + 17 q^{44} - 80 q^{45} - 91 q^{46} + 166 q^{47} - 159 q^{48} + 175 q^{49} + 4 q^{50} - 112 q^{51} - 128 q^{52} - 141 q^{53} - 37 q^{54} - 5 q^{55} + 79 q^{56} - 204 q^{57} - 190 q^{58} + 9 q^{59} - 22 q^{60} + 2 q^{61} - 105 q^{62} - q^{63} - 176 q^{64} - 14 q^{65} - 112 q^{66} - 13 q^{67} - 35 q^{68} - 53 q^{69} + 24 q^{70} - 50 q^{71} + 705 q^{72} + q^{73} + 40 q^{74} - q^{75} - 148 q^{76} - 104 q^{77} - 187 q^{78} - 83 q^{79} - q^{80} - 238 q^{81} - 54 q^{82} - 151 q^{83} + 4 q^{84} - 29 q^{85} - 39 q^{86} - 74 q^{87} - 143 q^{88} - 52 q^{89} - 28 q^{90} - 188 q^{91} - 253 q^{92} + 122 q^{93} - 187 q^{94} + 122 q^{95} - 155 q^{96} + 283 q^{97} - 92 q^{98} + 172 q^{99}+O(q^{100}) \) 880 * q + 4 * q^2 - q^3 + 24 * q^4 + 22 * q^5 - 13 * q^6 + 3 * q^7 + 2 * q^8 - 217 * q^9 - 6 * q^10 + 5 * q^11 - 5 * q^12 - 26 * q^13 - 108 * q^14 - 12 * q^15 + 34 * q^16 - q^17 - 14 * q^18 + q^19 + 19 * q^20 - 10 * q^21 + 275 * q^22 - 51 * q^23 + 283 * q^24 + 22 * q^25 - 16 * q^27 - 4 * q^28 - 19 * q^29 + q^30 - 34 * q^31 - 122 * q^32 + 19 * q^33 + 52 * q^34 + 8 * q^35 - 21 * q^36 - 109 * q^37 - 10 * q^38 - 9 * q^39 - 64 * q^40 + 4 * q^41 - 49 * q^42 - 97 * q^43 + 17 * q^44 - 80 * q^45 - 91 * q^46 + 166 * q^47 - 159 * q^48 + 175 * q^49 + 4 * q^50 - 112 * q^51 - 128 * q^52 - 141 * q^53 - 37 * q^54 - 5 * q^55 + 79 * q^56 - 204 * q^57 - 190 * q^58 + 9 * q^59 - 22 * q^60 + 2 * q^61 - 105 * q^62 - q^63 - 176 * q^64 - 14 * q^65 - 112 * q^66 - 13 * q^67 - 35 * q^68 - 53 * q^69 + 24 * q^70 - 50 * q^71 + 705 * q^72 + q^73 + 40 * q^74 - q^75 - 148 * q^76 - 104 * q^77 - 187 * q^78 - 83 * q^79 - q^80 - 238 * q^81 - 54 * q^82 - 151 * q^83 + 4 * q^84 - 29 * q^85 - 39 * q^86 - 74 * q^87 - 143 * q^88 - 52 * q^89 - 28 * q^90 - 188 * q^91 - 253 * q^92 + 122 * q^93 - 187 * q^94 + 122 * q^95 - 155 * q^96 + 283 * q^97 - 92 * q^98 + 172 * q^99

Introduction

L-functions

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