LMFDB - Embedded newform 731.2.k.a.188.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			188.5
Character	$\chi$	$=$	731.188
Dual form			731.2.k.a.35.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.506396 - 2.21867i) q^{2} +(0.238867 - 1.04654i) q^{3} +(-2.86411 + 1.37928i) q^{4} +(0.0785430 + 0.0984899i) q^{5} -2.44289 q^{6} +3.77944 q^{7} +(1.67276 + 2.09757i) q^{8} +(1.66471 + 0.801683i) q^{9} +O(q^{10})$	\(q+(-0.506396 - 2.21867i) q^{2} +(0.238867 - 1.04654i) q^{3} +(-2.86411 + 1.37928i) q^{4} +(0.0785430 + 0.0984899i) q^{5} -2.44289 q^{6} +3.77944 q^{7} +(1.67276 + 2.09757i) q^{8} +(1.66471 + 0.801683i) q^{9} +(0.178742 - 0.224136i) q^{10} +(2.42118 + 1.16598i) q^{11} +(0.759338 + 3.32688i) q^{12} +(-3.37369 - 4.23048i) q^{13} +(-1.91390 - 8.38533i) q^{14} +(0.121835 - 0.0586727i) q^{15} +(-0.157309 + 0.197259i) q^{16} +(0.623490 - 0.781831i) q^{17} +(0.935663 - 4.09941i) q^{18} +(2.28803 - 1.10186i) q^{19} +(-0.360801 - 0.173753i) q^{20} +(0.902783 - 3.95535i) q^{21} +(1.36084 - 5.96225i) q^{22} +(0.510542 + 0.245864i) q^{23} +(2.59477 - 1.24958i) q^{24} +(1.10907 - 4.85917i) q^{25} +(-7.67759 + 9.62740i) q^{26} +(3.24451 - 4.06848i) q^{27} +(-10.8247 + 5.21292i) q^{28} +(-1.36472 - 5.97921i) q^{29} +(-0.191872 - 0.240600i) q^{30} +(0.0188322 + 0.0825094i) q^{31} +(5.35173 + 2.57726i) q^{32} +(1.79859 - 2.25536i) q^{33} +(-2.05036 - 0.987400i) q^{34} +(0.296849 + 0.372237i) q^{35} -5.87366 q^{36} -0.413243 q^{37} +(-3.60331 - 4.51840i) q^{38} +(-5.23324 + 2.52020i) q^{39} +(-0.0752062 + 0.329500i) q^{40} +(2.65860 + 11.6481i) q^{41} -9.23277 q^{42} +(-6.42789 + 1.29701i) q^{43} -8.54275 q^{44} +(0.0517939 + 0.226924i) q^{45} +(0.286954 - 1.25723i) q^{46} +(-11.5134 + 5.54458i) q^{47} +(0.168864 + 0.211749i) q^{48} +7.28419 q^{49} -11.3425 q^{50} +(-0.669290 - 0.839263i) q^{51} +(15.4976 + 7.46327i) q^{52} +(7.37598 - 9.24918i) q^{53} +(-10.6696 - 5.13822i) q^{54} +(0.0753299 + 0.330042i) q^{55} +(6.32210 + 7.92767i) q^{56} +(-0.606608 - 2.65772i) q^{57} +(-12.5748 + 6.05570i) q^{58} +(-7.98316 + 10.0106i) q^{59} +(-0.268023 + 0.336090i) q^{60} +(0.928296 - 4.06713i) q^{61} +(0.173524 - 0.0835649i) q^{62} +(6.29168 + 3.02991i) q^{63} +(2.89569 - 12.6869i) q^{64} +(0.151679 - 0.664549i) q^{65} +(-5.91469 - 2.84837i) q^{66} +(-5.51891 + 2.65777i) q^{67} +(-0.707376 + 3.09922i) q^{68} +(0.379259 - 0.475575i) q^{69} +(0.675546 - 0.847108i) q^{70} +(6.10065 - 2.93792i) q^{71} +(1.10307 + 4.83288i) q^{72} +(7.10159 + 8.90512i) q^{73} +(0.209265 + 0.916849i) q^{74} +(-4.82041 - 2.32139i) q^{75} +(-5.03340 + 6.31168i) q^{76} +(9.15073 + 4.40676i) q^{77} +(8.24157 + 10.3346i) q^{78} +14.4036 q^{79} -0.0317835 q^{80} +(-0.0267932 - 0.0335976i) q^{81} +(24.4970 - 11.7971i) q^{82} +(2.45579 - 10.7595i) q^{83} +(2.86988 + 12.5737i) q^{84} +0.125973 q^{85} +(6.13270 + 13.6045i) q^{86} -6.58349 q^{87} +(1.60433 + 7.02902i) q^{88} +(-2.72935 + 11.9581i) q^{89} +(0.477240 - 0.229827i) q^{90} +(-12.7507 - 15.9888i) q^{91} -1.80136 q^{92} +0.0908481 q^{93} +(18.1320 + 22.7368i) q^{94} +(0.288231 + 0.138805i) q^{95} +(3.97556 - 4.98520i) q^{96} +(-3.61636 - 1.74155i) q^{97} +(-3.68869 - 16.1612i) q^{98} +(3.09583 + 3.88204i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{4}{7}\right)$

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 $

$2$	−0.506396	−	2.21867i	−0.358076	−	1.56883i	−0.757980	−	0.652278i	$-0.773814\pi$
$2$	−0.506396	−	2.21867i	−0.358076	−	1.56883i	0.399904	−	0.916557i	$-0.369043\pi$
$3$	0.238867	−	1.04654i	0.137910	−	0.604222i	−0.857983	−	0.513678i	$-0.828282\pi$
$3$	0.238867	−	1.04654i	0.137910	−	0.604222i	0.995892	−	0.0905436i	$-0.0288604\pi$
$4$	−2.86411	+	1.37928i	−1.43205	+	0.689641i
$5$	0.0785430	+	0.0984899i	0.0351255	+	0.0440460i	0.799084	−	0.601219i	$-0.205318\pi$
$5$	0.0785430	+	0.0984899i	0.0351255	+	0.0440460i	−0.763958	+	0.645265i	$0.776747\pi$
$6$	−2.44289			−0.997307
$7$	3.77944			1.42850			0.714248	−	0.699893i	$-0.246769\pi$
$7$	3.77944			1.42850			0.714248	+	0.699893i	$0.246769\pi$
$8$	1.67276	+	2.09757i	0.591410	+	0.741605i
$9$	1.66471	+	0.801683i	0.554904	+	0.267228i
$10$	0.178742	−	0.224136i	0.0565233	−	0.0708780i
$11$	2.42118	+	1.16598i	0.730015	+	0.351557i	0.761690	−	0.647942i	$-0.224370\pi$
$11$	2.42118	+	1.16598i	0.730015	+	0.351557i	−0.0316753	+	0.999498i	$0.510084\pi$
$12$	0.759338	+	3.32688i	0.219202	+	0.960387i
$13$	−3.37369	−	4.23048i	−0.935694	−	1.17332i	−0.984653	−	0.174522i	$-0.944162\pi$
$13$	−3.37369	−	4.23048i	−0.935694	−	1.17332i	0.0489592	−	0.998801i	$-0.484410\pi$
$14$	−1.91390	−	8.38533i	−0.511510	−	2.24107i
$15$	0.121835	−	0.0586727i	0.0314577	−	0.0151492i
$16$	−0.157309	+	0.197259i	−0.0393272	+	0.0493147i
$17$	0.623490	−	0.781831i	0.151218	−	0.189622i
$17$	0.623490	−	0.781831i	0.151218	−	0.189622i
$18$	0.935663	−	4.09941i	0.220538	−	0.966240i
$19$	2.28803	−	1.10186i	0.524910	−	0.252784i	−0.152611	−	0.988286i	$-0.548768\pi$
$19$	2.28803	−	1.10186i	0.524910	−	0.252784i	0.677522	+	0.735503i	$0.263054\pi$
$20$	−0.360801	−	0.173753i	−0.0806776	−	0.0388523i
$21$	0.902783	−	3.95535i	0.197003	−	0.863128i
$22$	1.36084	−	5.96225i	0.290133	−	1.27116i
$23$	0.510542	+	0.245864i	0.106455	+	0.0512662i	0.486354	−	0.873762i	$-0.338327\pi$
$23$	0.510542	+	0.245864i	0.106455	+	0.0512662i	−0.379898	+	0.925028i	$0.624041\pi$
$24$	2.59477	−	1.24958i	0.529655	−	0.255068i
$25$	1.10907	−	4.85917i	0.221815	−	0.971834i
$26$	−7.67759	+	9.62740i	−1.50570	+	1.88809i
$27$	3.24451	−	4.06848i	0.624406	−	0.782980i
$28$	−10.8247	+	5.21292i	−2.04568	+	0.985149i
$29$	−1.36472	−	5.97921i	−0.253421	−	1.11031i	−0.928139	−	0.372235i	$-0.878592\pi$
$29$	−1.36472	−	5.97921i	−0.253421	−	1.11031i	0.674717	−	0.738076i	$-0.264266\pi$
$30$	−0.191872	−	0.240600i	−0.0350309	−	0.0439274i
$31$	0.0188322	+	0.0825094i	0.00338237	+	0.0148191i	0.976591	−	0.215105i	$-0.0690094\pi$
$31$	0.0188322	+	0.0825094i	0.00338237	+	0.0148191i	−0.973209	+	0.229924i	$0.926152\pi$
$32$	5.35173	+	2.57726i	0.946061	+	0.455599i
$33$	1.79859	−	2.25536i	0.313094	−	0.392608i
$34$	−2.05036	−	0.987400i	−0.351633	−	0.169338i
$35$	0.296849	+	0.372237i	0.0501766	+	0.0629195i
$36$	−5.87366			−0.978943
$37$	−0.413243			−0.0679368			−0.0339684	−	0.999423i	$-0.510815\pi$
$37$	−0.413243			−0.0679368			−0.0339684	+	0.999423i	$0.510815\pi$
$38$	−3.60331	−	4.51840i	−0.584534	−	0.732982i
$39$	−5.23324	+	2.52020i	−0.837989	+	0.403554i
$40$	−0.0752062	+	0.329500i	−0.0118911	+	0.0520985i
$41$	2.65860	+	11.6481i	0.415204	+	1.81913i	0.558568	+	0.829459i	$0.311351\pi$
$41$	2.65860	+	11.6481i	0.415204	+	1.81913i	−0.143364	+	0.989670i	$0.545792\pi$
$42$	−9.23277			−1.42465
$43$	−6.42789	+	1.29701i	−0.980244	+	0.197792i
$43$	−6.42789	+	1.29701i	−0.980244	+	0.197792i
$44$	−8.54275			−1.28787
$45$	0.0517939	+	0.226924i	0.00772097	+	0.0338278i
$46$	0.286954	−	1.25723i	0.0423090	−	0.185368i
$47$	−11.5134	+	5.54458i	−1.67941	+	0.808761i	−0.682442	+	0.730940i	$0.739082\pi$
$47$	−11.5134	+	5.54458i	−1.67941	+	0.808761i	−0.996967	+	0.0778208i	$0.975204\pi$
$48$	0.168864	+	0.211749i	0.0243734	+	0.0305633i
$49$	7.28419			1.04060
$50$	−11.3425			−1.60407
$51$	−0.669290	−	0.839263i	−0.0937193	−	0.117520i
$52$	15.4976	+	7.46327i	2.14914	+	1.03497i
$53$	7.37598	−	9.24918i	1.01317	−	1.27047i	0.0508047	−	0.998709i	$-0.483821\pi$
$53$	7.37598	−	9.24918i	1.01317	−	1.27047i	0.962364	−	0.271765i	$-0.0876072\pi$
$54$	−10.6696	−	5.13822i	−1.45195	−	0.699223i
$55$	0.0753299	+	0.330042i	0.0101575	+	0.0445028i
$56$	6.32210	+	7.92767i	0.844826	+	1.05938i
$57$	−0.606608	−	2.65772i	−0.0803471	−	0.352024i
$58$	−12.5748	+	6.05570i	−1.65115	+	0.795152i
$59$	−7.98316	+	10.0106i	−1.03932	+	1.30327i	−0.0876463	+	0.996152i	$0.527935\pi$
$59$	−7.98316	+	10.0106i	−1.03932	+	1.30327i	−0.951673	+	0.307113i	$0.900637\pi$
$60$	−0.268023	+	0.336090i	−0.0346016	+	0.0433891i
$61$	0.928296	−	4.06713i	0.118856	−	0.520743i	−0.880088	−	0.474810i	$-0.842517\pi$
$61$	0.928296	−	4.06713i	0.118856	−	0.520743i	0.998945	−	0.0459328i	$-0.0146260\pi$
$62$	0.173524	−	0.0835649i	0.0220376	−	0.0106128i
$63$	6.29168	+	3.02991i	0.792677	+	0.381733i
$64$	2.89569	−	12.6869i	0.361962	−	1.58586i
$65$	0.151679	−	0.664549i	0.0188135	−	0.0824272i
$66$	−5.91469	−	2.84837i	−0.728048	−	0.350610i
$67$	−5.51891	+	2.65777i	−0.674242	+	0.324698i	−0.739486	−	0.673171i	$-0.764932\pi$
$67$	−5.51891	+	2.65777i	−0.674242	+	0.324698i	0.0652444	+	0.997869i	$0.479217\pi$
$68$	−0.707376	+	3.09922i	−0.0857820	+	0.375835i
$69$	0.379259	−	0.475575i	0.0456574	−	0.0572525i
$70$	0.675546	−	0.847108i	0.0807432	−	0.101249i
$71$	6.10065	−	2.93792i	0.724014	−	0.348667i	−0.0353130	−	0.999376i	$-0.511243\pi$
$71$	6.10065	−	2.93792i	0.724014	−	0.348667i	0.759327	+	0.650710i	$0.225529\pi$
$72$	1.10307	+	4.83288i	0.129998	+	0.569560i
$73$	7.10159	+	8.90512i	0.831179	+	1.04227i	0.998411	+	0.0563476i	$0.0179455\pi$
$73$	7.10159	+	8.90512i	0.831179	+	1.04227i	−0.167233	+	0.985917i	$0.553483\pi$
$74$	0.209265	+	0.916849i	0.0243265	+	0.106582i
$75$	−4.82041	−	2.32139i	−0.556613	−	0.268051i
$76$	−5.03340	+	6.31168i	−0.577370	+	0.724000i
$77$	9.15073	+	4.40676i	1.04282	+	0.502197i
$78$	8.24157	+	10.3346i	0.933174	+	1.17016i
$79$	14.4036			1.62053			0.810263	−	0.586066i	$-0.199324\pi$
$79$	14.4036			1.62053			0.810263	+	0.586066i	$0.199324\pi$
$80$	−0.0317835			−0.00355350
$81$	−0.0267932	−	0.0335976i	−0.00297702	−	0.00373306i
$82$	24.4970	−	11.7971i	2.70524	−	1.30277i
$83$	2.45579	−	10.7595i	0.269558	−	1.18101i	−0.640970	−	0.767566i	$-0.721468\pi$
$83$	2.45579	−	10.7595i	0.269558	−	1.18101i	0.910529	−	0.413446i	$-0.135675\pi$
$84$	2.86988	+	12.5737i	0.313129	+	1.37191i
$85$	0.125973			0.0136637
$86$	6.13270	+	13.6045i	0.661306	+	1.46702i
$87$	−6.58349			−0.705824
$88$	1.60433	+	7.02902i	0.171022	+	0.749296i
$89$	−2.72935	+	11.9581i	−0.289311	+	1.26755i	0.596162	+	0.802864i	$0.296691\pi$
$89$	−2.72935	+	11.9581i	−0.289311	+	1.26755i	−0.885473	+	0.464690i	$0.846166\pi$
$90$	0.477240	−	0.229827i	0.0503055	−	0.0242259i
$91$	−12.7507	−	15.9888i	−1.33663	−	1.67609i
$92$	−1.80136			−0.187805
$93$	0.0908481			0.00942051
$94$	18.1320	+	22.7368i	1.87017	+	2.34512i
$95$	0.288231	+	0.138805i	0.0295719	+	0.0142411i
$96$	3.97556	−	4.98520i	0.405754	−	0.508799i
$97$	−3.61636	−	1.74155i	−0.367186	−	0.176827i	0.241187	−	0.970479i	$-0.422463\pi$
$97$	−3.61636	−	1.74155i	−0.367186	−	0.176827i	−0.608373	+	0.793651i	$0.708178\pi$
$98$	−3.68869	−	16.1612i	−0.372614	−	1.63253i
$99$	3.09583	+	3.88204i	0.311142	+	0.390160i
$100$	3.52566	+	15.4469i	0.352566	+	1.54469i
$101$	−17.0729	+	8.22188i	−1.69882	+	0.818108i	−0.704737	+	0.709468i	$0.748935\pi$
$101$	−17.0729	+	8.22188i	−1.69882	+	0.818108i	−0.994081	+	0.108639i	$0.965351\pi$
$102$	−1.52312	+	1.90993i	−0.150811	+	0.189111i
$103$	12.0277	−	15.0822i	1.18512	−	1.48609i	0.349371	−	0.936985i	$-0.386395\pi$
$103$	12.0277	−	15.0822i	1.18512	−	1.48609i	0.835750	−	0.549110i	$-0.185033\pi$
$104$	3.23036	−	14.1531i	0.316763	−	1.38783i
$105$	0.460469	−	0.221750i	0.0449372	−	0.0216406i
$106$	−24.2560	−	11.6811i	−2.35595	−	1.13457i
$107$	−0.700023	+	3.06700i	−0.0676737	+	0.296498i	−0.997427	−	0.0716842i	$-0.977163\pi$
$107$	−0.700023	+	3.06700i	−0.0676737	+	0.296498i	0.929754	+	0.368182i	$0.120020\pi$
$108$	−3.68104	+	16.1277i	−0.354208	+	1.55189i
$109$	−15.2301	−	7.33441i	−1.45877	−	0.702509i	−0.474681	−	0.880158i	$-0.657436\pi$
$109$	−15.2301	−	7.33441i	−1.45877	−	0.702509i	−0.984094	+	0.177649i	$0.943151\pi$
$110$	0.694106	−	0.334264i	0.0661804	−	0.0318708i
$111$	−0.0987100	+	0.432477i	−0.00936914	+	0.0410489i
$112$	−0.594539	+	0.745528i	−0.0561787	+	0.0704458i
$113$	−3.41455	+	4.28170i	−0.321213	+	0.402789i	−0.916054	−	0.401055i	$-0.868644\pi$
$113$	−3.41455	+	4.28170i	−0.321213	+	0.402789i	0.594841	+	0.803844i	$0.297215\pi$
$114$	−5.58942	+	2.69172i	−0.523497	+	0.252103i
$115$	0.0158844	+	0.0695941i	0.00148123	+	0.00648968i
$116$	12.1557	+	15.2428i	1.12863	+	1.41526i
$117$	−2.22472	−	9.74715i	−0.205676	−	0.901125i
$118$	26.2528	+	12.6427i	2.41676	+	1.16385i
$119$	2.35644	−	2.95489i	0.216015	−	0.270874i
$120$	0.326872	+	0.157413i	0.0298392	+	0.0143698i
$121$	−2.35576	−	2.95404i	−0.214160	−	0.268549i
$122$	−9.49369			−0.859518
$123$	12.8253			1.15642
$124$	−0.167741	−	0.210341i	−0.0150636	−	0.0188892i
$125$	1.13318	−	0.545710i	0.101355	−	0.0488098i
$126$	3.53629	−	15.4935i	0.315037	−	1.38027i
$127$	−1.35510	−	5.93710i	−0.120246	−	0.526832i	−0.998790	−	0.0491715i	$-0.984342\pi$
$127$	−1.35510	−	5.93710i	−0.120246	−	0.526832i	0.878544	−	0.477661i	$-0.158515\pi$
$128$	−17.7344			−1.56751
$129$	−0.178030	+	7.03688i	−0.0156747	+	0.619563i
$130$	−1.55122			−0.136051
$131$	4.14234	+	18.1488i	0.361918	+	1.58567i	0.748320	+	0.663337i	$0.230861\pi$
$131$	4.14234	+	18.1488i	0.361918	+	1.58567i	−0.386402	+	0.922330i	$0.626282\pi$
$132$	−2.04058	+	8.94036i	−0.177610	+	0.778159i
$133$	8.64749	−	4.16441i	0.749832	−	0.361100i
$134$	8.69145	+	10.8987i	0.750827	+	0.941508i
$135$	0.655538			0.0564197
$136$	2.68290			0.230057
$137$	−6.48475	−	8.13162i	−0.554029	−	0.694731i	0.423412	−	0.905937i	$-0.360832\pi$
$137$	−6.48475	−	8.13162i	−0.554029	−	0.694731i	−0.977442	+	0.211206i	$0.932261\pi$
$138$	−1.24720	−	0.600619i	−0.106169	−	0.0511281i
$139$	1.44429	−	1.81109i	0.122503	−	0.153614i	−0.716798	−	0.697281i	$-0.754393\pi$
$139$	1.44429	−	1.81109i	0.122503	−	0.153614i	0.839301	+	0.543667i	$0.182964\pi$
$140$	−1.36363	−	0.656688i	−0.115248	−	0.0555003i
$141$	3.05247	+	13.3737i	0.257064	+	1.12627i
$142$	−9.60760	−	12.0476i	−0.806252	−	1.01101i
$143$	−3.23568	−	14.1764i	−0.270581	−	1.18549i
$144$	−0.420012	+	0.202267i	−0.0350010	+	0.0168556i
$145$	0.481703	−	0.604036i	0.0400032	−	0.0501625i
$146$	16.1613	−	20.2656i	1.33752	−	1.67719i
$147$	1.73995	−	7.62322i	0.143509	−	0.628753i
$148$	1.18357	−	0.569979i	0.0972892	−	0.0468520i
$149$	6.96783	+	3.35553i	0.570827	+	0.274896i	0.696951	−	0.717119i	$-0.254540\pi$
$149$	6.96783	+	3.35553i	0.570827	+	0.274896i	−0.126124	+	0.992014i	$0.540254\pi$
$150$	−2.70935	+	11.8704i	−0.221217	+	0.969216i
$151$	−0.466375	+	2.04332i	−0.0379531	+	0.166283i	−0.990353	−	0.138569i	$-0.955750\pi$
$151$	−0.466375	+	2.04332i	−0.0379531	+	0.166283i	0.952400	+	0.304852i	$0.0986070\pi$
$152$	6.13856	+	2.95617i	0.497903	+	0.239777i
$153$	1.66471	−	0.801683i	0.134584	−	0.0648122i
$154$	5.14324	−	22.5340i	0.414454	−	1.81584i
$155$	−0.00664720	+	0.00833532i	−0.000533916	+	0.000669509i
$156$	11.5125	−	14.4362i	0.921738	−	1.15582i
$157$	2.07801	−	1.00072i	0.165843	−	0.0798660i	−0.349120	−	0.937078i	$-0.613520\pi$
$157$	2.07801	−	1.00072i	0.165843	−	0.0798660i	0.514964	+	0.857212i	$0.327805\pi$
$158$	−7.29390	−	31.9567i	−0.580272	−	2.54234i
$159$	−7.91780	−	9.92860i	−0.627922	−	0.787389i
$160$	0.166507	+	0.729517i	0.0131636	+	0.0576734i
$161$	1.92956	+	0.929229i	0.152071	+	0.0732335i
$162$	−0.0609739	+	0.0764588i	−0.00479056	+	0.00600717i
$163$	7.50446	+	3.61396i	0.587795	+	0.283067i	0.704048	−	0.710153i	$-0.251374\pi$
$163$	7.50446	+	3.61396i	0.587795	+	0.283067i	−0.116253	+	0.993220i	$0.537088\pi$
$164$	−23.6806	−	29.6945i	−1.84914	−	2.31875i
$165$	0.363397			0.0282904
$166$	−25.1154			−1.94933
$167$	5.04285	+	6.32354i	0.390228	+	0.489330i	0.937677	−	0.347509i	$-0.112972\pi$
$167$	5.04285	+	6.32354i	0.390228	+	0.489330i	−0.547449	+	0.836839i	$0.684401\pi$
$168$	9.80678	−	4.72270i	0.756610	−	0.364364i
$169$	−3.62236	+	15.8706i	−0.278643	+	1.22082i
$170$	−0.0637924	−	0.279493i	−0.00489265	−	0.0214361i
$171$	4.69225			0.358825
$172$	16.6212	−	12.5807i	1.26736	−	0.959266i
$173$	2.34440			0.178242			0.0891208	−	0.996021i	$-0.471594\pi$
$173$	2.34440			0.178242			0.0891208	+	0.996021i	$0.471594\pi$
$174$	3.33385	+	14.6066i	0.252739	+	1.10732i
$175$	4.19168	−	18.3649i	0.316861	−	1.38826i
$176$	−0.610873	+	0.294181i	−0.0460463	+	0.0221747i
$177$	8.56958	+	10.7459i	0.644129	+	0.807713i
$178$	27.9131			2.09218
$179$	1.97191			0.147387			0.0736937	−	0.997281i	$-0.476521\pi$
$179$	1.97191			0.147387			0.0736937	+	0.997281i	$0.476521\pi$
$180$	−0.461335	−	0.578496i	−0.0343859	−	0.0431185i
$181$	17.8118	+	8.57772i	1.32394	+	0.637577i	0.956299	−	0.292390i	$-0.0944504\pi$
$181$	17.8118	+	8.57772i	1.32394	+	0.637577i	0.367643	+	0.929967i	$0.380165\pi$
$182$	−29.0170	+	36.3862i	−2.15089	+	2.69713i
$183$	−4.03469	−	1.94300i	−0.298253	−	0.143631i
$184$	0.338296	+	1.48217i	0.0249395	+	0.109267i
$185$	−0.0324574	−	0.0407003i	−0.00238631	−	0.00299234i
$186$	−0.0460051	−	0.201562i	−0.00337326	−	0.0147792i
$187$	2.42118	−	1.16598i	0.177055	−	0.0852650i
$188$	25.3282	−	31.7606i	1.84725	−	2.31638i
$189$	12.2624	−	15.3766i	0.891961	−	1.11848i
$190$	0.162002	−	0.709778i	0.0117529	−	0.0514927i
$191$	−12.7899	+	6.15930i	−0.925446	+	0.445671i	−0.835013	−	0.550231i	$-0.814540\pi$
$191$	−12.7899	+	6.15930i	−0.925446	+	0.445671i	−0.0904339	+	0.995902i	$0.528825\pi$
$192$	−12.5857	−	6.06094i	−0.908292	−	0.437411i
$193$	1.87671	−	8.22239i	0.135088	−	0.591861i	−0.861385	−	0.507952i	$-0.830403\pi$
$193$	1.87671	−	8.22239i	0.135088	−	0.591861i	0.996473	−	0.0839082i	$-0.0267403\pi$
$194$	−2.03260	+	8.90542i	−0.145932	+	0.639372i
$195$	−0.659248	−	0.317477i	−0.0472098	−	0.0227350i
$196$	−20.8627	+	10.0470i	−1.49019	+	0.717639i
$197$	−3.23539	+	14.1752i	−0.230512	+	1.00994i	0.718704	+	0.695316i	$0.244736\pi$
$197$	−3.23539	+	14.1752i	−0.230512	+	1.00994i	−0.949216	+	0.314624i	$0.898121\pi$
$198$	7.04525	−	8.83446i	0.500684	−	0.627838i
$199$	15.5932	−	19.5532i	1.10537	−	1.38609i	0.190819	−	0.981625i	$-0.438886\pi$
$199$	15.5932	−	19.5532i	1.10537	−	1.38609i	0.914553	−	0.404467i	$-0.132543\pi$
$200$	12.0477	−	5.80186i	0.851900	−	0.410253i
$201$	1.46318	+	6.41063i	0.103205	+	0.452171i
$202$	26.8873	+	33.7156i	1.89178	+	2.37222i
$203$	−5.15786	−	22.5981i	−0.362011	−	1.58607i
$204$	3.07450	+	1.48060i	0.215258	+	0.103663i
$205$	−0.938406	+	1.17672i	−0.0655411	+	0.0821859i
$206$	−39.5532	−	19.0478i	−2.75580	−	1.32712i
$207$	0.652799	+	0.818585i	0.0453727	+	0.0568956i
$208$	1.36521			0.0946603
$209$	6.82449			0.472060
$210$	−0.725170	−	0.909335i	−0.0500415	−	0.0627500i
$211$	−7.05508	+	3.39755i	−0.485692	+	0.233897i	−0.660671	−	0.750675i	$-0.729728\pi$
$211$	−7.05508	+	3.39755i	−0.485692	+	0.233897i	0.174980	+	0.984572i	$0.444014\pi$
$212$	−8.36837	+	36.6642i	−0.574742	+	2.51811i
$213$	−1.61742	−	7.08636i	−0.110823	−	0.485549i
$214$	7.15914			0.489389
$215$	−0.632608	−	0.531211i	−0.0431435	−	0.0362283i
$216$	13.9612			0.949942
$217$	0.0711754	+	0.311840i	0.00483170	+	0.0211691i
$218$	−8.56017	+	37.5045i	−0.579768	+	2.54013i
$219$	11.0159	−	5.30499i	0.744387	−	0.358478i
$220$	−0.670974	−	0.841375i	−0.0452370	−	0.0567255i
$221$	−5.41098			−0.363982
$222$	1.00951			0.0677538
$223$	8.98459	+	11.2663i	0.601653	+	0.754449i	0.985635	−	0.168892i	$-0.0540189\pi$
$223$	8.98459	+	11.2663i	0.601653	+	0.754449i	−0.383982	+	0.923341i	$0.625447\pi$
$224$	20.2266	+	9.74060i	1.35144	+	0.650821i
$225$	5.74180	−	7.19999i	0.382786	−	0.479999i
$226$	11.2288	+	5.40750i	0.746928	+	0.359702i
$227$	−2.99127	−	13.1056i	−0.198538	−	0.869851i	−0.971808	−	0.235774i	$-0.924237\pi$
$227$	−2.99127	−	13.1056i	−0.198538	−	0.869851i	0.773270	−	0.634077i	$-0.218620\pi$
$228$	5.40314	+	6.77532i	0.357832	+	0.448707i
$229$	−0.275743	−	1.20811i	−0.0182216	−	0.0798342i	0.965000	−	0.262251i	$-0.0844650\pi$
$229$	−0.275743	−	1.20811i	−0.0182216	−	0.0798342i	−0.983221	+	0.182417i	$0.941608\pi$
$230$	0.146362	−	0.0704844i	0.00965084	−	0.00464760i
$231$	6.79767	−	8.52401i	0.447254	−	0.560838i
$232$	10.2590	−	12.8644i	0.673536	−	0.844588i
$233$	−3.64996	+	15.9915i	−0.239117	+	1.04764i	0.702694	+	0.711493i	$0.251980\pi$
$233$	−3.64996	+	15.9915i	−0.239117	+	1.04764i	−0.941810	+	0.336145i	$0.890877\pi$
$234$	−20.4991	+	9.87184i	−1.34007	+	0.645343i
$235$	−1.45039	−	0.698469i	−0.0946128	−	0.0455631i
$236$	9.05725	−	39.6824i	0.589577	−	2.58310i
$237$	3.44053	−	15.0739i	0.223486	−	0.979158i
$238$	−7.74921	−	3.73182i	−0.502306	−	0.241898i
$239$	−14.4724	+	6.96956i	−0.936145	+	0.450824i	−0.838808	−	0.544428i	$-0.816747\pi$
$239$	−14.4724	+	6.96956i	−0.936145	+	0.450824i	−0.0973371	+	0.995251i	$0.531033\pi$
$240$	−0.00759202	+	0.0332628i	−0.000490063	+	0.00214710i
$241$	−13.5971	+	17.0502i	−0.875865	+	1.09830i	0.118569	+	0.992946i	$0.462169\pi$
$241$	−13.5971	+	17.0502i	−0.875865	+	1.09830i	−0.994435	+	0.105355i	$0.966402\pi$
$242$	−5.36107	+	6.72257i	−0.344623	+	0.432143i
$243$	14.0238	−	6.75350i	0.899627	−	0.433237i
$244$	2.95098	+	12.9291i	0.188917	+	0.827700i
$245$	0.572122	+	0.717419i	0.0365516	+	0.0458342i
$246$	−6.49469	−	28.4551i	−0.414086	−	1.81423i
$247$	−12.3805	−	5.96214i	−0.787752	−	0.379362i
$248$	−0.141568	+	0.177520i	−0.00898957	+	0.0112726i
$249$	−10.6737	−	5.14019i	−0.676419	−	0.325746i
$250$	−1.78459	−	2.23780i	−0.112867	−	0.141531i
$251$	−8.28861			−0.523172			−0.261586	−	0.965180i	$-0.584246\pi$
$251$	−8.28861			−0.523172			−0.261586	+	0.965180i	$0.584246\pi$
$252$	−22.1992			−1.39842
$253$	0.949443	+	1.19056i	0.0596910	+	0.0748501i
$254$	−12.4862	+	6.01305i	−0.783456	+	0.377292i
$255$	0.0300908	−	0.131836i	0.00188436	−	0.00825592i
$256$	3.18922	+	13.9729i	0.199326	+	0.873306i
$257$	7.88772			0.492023			0.246011	−	0.969267i	$-0.420880\pi$
$257$	7.88772			0.492023			0.246011	+	0.969267i	$0.420880\pi$
$258$	15.7026	−	3.16846i	0.977604	−	0.197260i
$259$	−1.56183			−0.0970474
$260$	0.482176	+	2.11255i	0.0299033	+	0.131015i
$261$	2.52157	−	11.0477i	0.156081	−	0.683837i
$262$	38.1685	−	18.3810i	2.35806	−	1.13558i
$263$	18.7832	+	23.5533i	1.15822	+	1.45236i	0.868803	+	0.495158i	$0.164890\pi$
$263$	18.7832	+	23.5533i	1.15822	+	1.45236i	0.289417	+	0.957203i	$0.406539\pi$
$264$	7.73940			0.476327
$265$	1.49028			0.0915473
$266$	−13.6185	−	17.0771i	−0.835003	−	1.04706i
$267$	11.8627	+	5.71277i	0.725985	+	0.349616i
$268$	12.1409	−	15.2243i	0.741626	−	0.929970i
$269$	19.5589	+	9.41906i	1.19253	+	0.574290i	0.921536	−	0.388292i	$-0.126935\pi$
$269$	19.5589	+	9.41906i	1.19253	+	0.574290i	0.270990	+	0.962582i	$0.412649\pi$
$270$	−0.331962	−	1.45442i	−0.0202026	−	0.0885132i
$271$	15.7261	+	19.7199i	0.955290	+	1.19790i	0.980161	+	0.198205i	$0.0635112\pi$
$271$	15.7261	+	19.7199i	0.955290	+	1.19790i	−0.0248706	+	0.999691i	$0.507917\pi$
$272$	0.0561428	+	0.245978i	0.00340416	+	0.0149146i
$273$	−19.7787	+	9.52494i	−1.19706	+	0.576475i
$274$	−14.7575	+	18.5053i	−0.891533	+	1.11795i
$275$	8.35097	−	10.4718i	0.503582	−	0.631472i
$276$	−0.430285	+	1.88520i	−0.0259001	+	0.113476i
$277$	−18.9484	+	9.12507i	−1.13850	+	0.548273i	−0.905560	−	0.424219i	$-0.860549\pi$
$277$	−18.9484	+	9.12507i	−1.13850	+	0.548273i	−0.232940	+	0.972491i	$0.574835\pi$
$278$	−4.74958	−	2.28728i	−0.284861	−	0.137182i
$279$	−0.0347961	+	0.152452i	−0.00208319	+	0.00912705i
$280$	−0.284238	+	1.24533i	−0.0169864	+	0.0744225i
$281$	−0.778325	−	0.374822i	−0.0464310	−	0.0223600i	0.410524	−	0.911850i	$-0.365346\pi$
$281$	−0.778325	−	0.374822i	−0.0464310	−	0.0223600i	−0.456955	+	0.889490i	$0.651060\pi$
$282$	28.1261	−	13.5448i	1.67489	−	0.806583i
$283$	0.184150	−	0.806813i	0.0109466	−	0.0479601i	−0.969160	−	0.246434i	$-0.920741\pi$
$283$	0.184150	−	0.806813i	0.0109466	−	0.0479601i	0.980106	+	0.198474i	$0.0635984\pi$
$284$	−13.4207	+	16.8290i	−0.796372	+	0.998619i
$285$	0.214114	−	0.268490i	0.0126830	−	0.0159040i
$286$	−29.8142	+	14.3578i	−1.76295	+	0.848993i
$287$	10.0480	+	44.0234i	0.593117	+	2.59862i
$288$	6.84294	+	8.58078i	0.403224	+	0.505627i
$289$	−0.222521	−	0.974928i	−0.0130895	−	0.0573487i
$290$	−1.58409	−	0.762856i	−0.0930208	−	0.0447965i
$291$	−2.68643	+	3.36868i	−0.157482	+	0.197476i
$292$	−32.6224	−	15.7101i	−1.90908	−	0.919365i
$293$	4.22950	+	5.30362i	0.247090	+	0.309841i	0.889874	−	0.456207i	$-0.150792\pi$
$293$	4.22950	+	5.30362i	0.247090	+	0.309841i	−0.642784	+	0.766047i	$0.722221\pi$
$294$	−17.7945			−1.03780
$295$	−1.61296			−0.0939102
$296$	−0.691257	−	0.866809i	−0.0401785	−	0.0503822i
$297$	12.5993	−	6.06752i	0.731087	−	0.352073i
$298$	3.91632	−	17.1585i	0.226866	−	0.993966i
$299$	−0.682289	−	2.98930i	−0.0394578	−	0.172876i
$300$	17.0080			0.981959
$301$	−24.2938	+	4.90198i	−1.40027	+	0.282545i
$302$	4.76962			0.274461
$303$	4.52641	+	19.8315i	0.260035	+	1.13929i
$304$	−0.142576	+	0.624666i	−0.00817729	+	0.0358271i
$305$	0.473482	−	0.228017i	0.0271115	−	0.0130562i
$306$	−2.62167	−	3.28747i	−0.149871	−	0.187932i
$307$	21.5019			1.22718			0.613588	−	0.789626i	$-0.289726\pi$
$307$	21.5019			1.22718			0.613588	+	0.789626i	$0.289726\pi$
$308$	−32.2869			−1.83971
$309$	−12.9112	−	16.1901i	−0.734491	−	0.921023i
$310$	0.0218594	+	0.0105269i	0.00124153	+	0.000597890i
$311$	−15.5376	+	19.4836i	−0.881058	+	1.10481i	0.112741	+	0.993624i	$0.464037\pi$
$311$	−15.5376	+	19.4836i	−0.881058	+	1.10481i	−0.993799	+	0.111188i	$0.964535\pi$
$312$	−14.0403	−	6.76143i	−0.794873	−	0.382791i
$313$	−2.20893	−	9.67796i	−0.124856	−	0.547031i	−0.998203	−	0.0599310i	$-0.980912\pi$
$313$	−2.20893	−	9.67796i	−0.124856	−	0.547031i	0.873346	−	0.487100i	$-0.161945\pi$
$314$	−3.27256	−	4.10366i	−0.184681	−	0.231583i
$315$	0.195752	+	0.857645i	0.0110294	+	0.0483228i
$316$	−41.2533	+	19.8666i	−2.32068	+	1.11758i
$317$	1.22638	−	1.53783i	0.0688804	−	0.0863733i	−0.746198	−	0.665725i	$-0.768123\pi$
$317$	1.22638	−	1.53783i	0.0688804	−	0.0863733i	0.815078	+	0.579351i	$0.196694\pi$
$318$	−18.0187	+	22.5948i	−1.01044	+	1.26705i
$319$	3.66742	−	16.0680i	0.205336	−	0.899635i
$320$	1.47696	−	0.711268i	0.0825648	−	0.0397611i
$321$	3.04254	+	1.46521i	0.169818	+	0.0817799i
$322$	1.08453	−	4.75162i	0.0604382	−	0.264797i
$323$	0.565097	−	2.47585i	0.0314428	−	0.137760i
$324$	0.123079	+	0.0592718i	0.00683773	+	0.00329288i
$325$	−24.2983	+	11.7014i	−1.34783	+	0.649079i
$326$	4.21794	−	18.4800i	0.233610	−	1.02351i
$327$	−11.3137	+	14.1870i	−0.625651	+	0.784541i
$328$	−19.9856	+	25.0611i	−1.10352	+	1.38377i
$329$	−43.5144	+	20.9554i	−2.39903	+	1.15531i
$330$	−0.184023	−	0.806257i	−0.0101301	−	0.0443830i
$331$	−8.31133	−	10.4221i	−0.456832	−	0.572849i	0.499060	−	0.866567i	$-0.333679\pi$
$331$	−8.31133	−	10.4221i	−0.456832	−	0.572849i	−0.955892	+	0.293718i	$0.905107\pi$
$332$	7.80677	+	34.2037i	0.428452	+	1.87717i
$333$	−0.687931	−	0.331290i	−0.0376984	−	0.0181546i
$334$	11.4761	−	14.3906i	0.627947	−	0.787420i
$335$	−0.695235	−	0.334808i	−0.0379847	−	0.0182925i
$336$	0.638212	+	0.800293i	0.0348173	+	0.0436595i
$337$	5.98652			0.326106			0.163053	−	0.986617i	$-0.447866\pi$
$337$	5.98652			0.326106			0.163053	+	0.986617i	$0.447866\pi$
$338$	37.0459			2.01503
$339$	3.66537	+	4.59623i	0.199075	+	0.249633i
$340$	−0.360801	+	0.173753i	−0.0195672	+	0.00942306i
$341$	−0.0506081	+	0.221729i	−0.00274058	+	0.0120073i
$342$	−2.37614	−	10.4105i	−0.128487	−	0.562938i
$343$	1.07408			0.0579949
$344$	−13.4729	−	11.3134i	−0.726410	−	0.609977i
$345$	0.0766275			0.00412548
$346$	−1.18720	−	5.20145i	−0.0638241	−	0.279632i
$347$	3.09906	−	13.5779i	0.166366	−	0.728899i	−0.821063	−	0.570838i	$-0.806619\pi$
$347$	3.09906	−	13.5779i	0.166366	−	0.728899i	0.987429	−	0.158061i	$-0.0505244\pi$
$348$	18.8558	−	9.08049i	1.01078	−	0.486765i
$349$	16.7641	+	21.0215i	0.897362	+	1.12526i	0.991553	+	0.129702i	$0.0414021\pi$
$349$	16.7641	+	21.0215i	0.897362	+	1.12526i	−0.0941911	+	0.995554i	$0.530026\pi$
$350$	−42.8684			−2.29141
$351$	−28.1576			−1.50294
$352$	9.95249	+	12.4800i	0.530470	+	0.665188i
$353$	14.0619	+	6.77184i	0.748437	+	0.360428i	0.768906	−	0.639362i	$-0.220801\pi$
$353$	14.0619	+	6.77184i	0.748437	+	0.360428i	−0.0204684	+	0.999791i	$0.506516\pi$
$354$	19.5020	−	24.4547i	1.03652	−	1.29975i
$355$	0.768518	+	0.370099i	0.0407887	+	0.0196428i
$356$	−8.67640	−	38.0138i	−0.459848	−	2.01473i
$357$	−2.52954	−	3.17195i	−0.133878	−	0.167877i
$358$	−0.998567	−	4.37501i	−0.0527759	−	0.231226i
$359$	13.3532	−	6.43058i	0.704757	−	0.339393i	−0.0469436	−	0.998898i	$-0.514948\pi$
$359$	13.3532	−	6.43058i	0.704757	−	0.339393i	0.751701	+	0.659504i	$0.229234\pi$
$360$	−0.389351	+	0.488231i	−0.0205206	+	0.0257320i
$361$	−7.82531	+	9.81263i	−0.411858	+	0.516454i
$362$	10.0113	−	43.8622i	0.526181	−	2.30535i
$363$	−3.65424	+	1.75979i	−0.191798	+	0.0923650i
$364$	58.5725	+	28.2070i	3.07003	+	1.47845i
$365$	−0.319283	+	1.39887i	−0.0167120	+	0.0732202i
$366$	−2.26773	+	9.93556i	−0.118536	+	0.519340i
$367$	−11.3612	−	5.47128i	−0.593051	−	0.285598i	0.113186	−	0.993574i	$-0.463894\pi$
$367$	−11.3612	−	5.47128i	−0.593051	−	0.285598i	−0.706237	+	0.707976i	$0.749609\pi$
$368$	−0.128811	+	0.0620323i	−0.00671476	+	0.00323366i
$369$	−4.91228	+	21.5221i	−0.255723	+	1.12040i
$370$	−0.0738641	+	0.0926226i	−0.00384001	+	0.00481522i
$371$	27.8771	−	34.9568i	1.44731	−	1.81486i
$372$	−0.260199	+	0.125305i	−0.0134907	+	0.00649677i
$373$	1.43343	+	6.28025i	0.0742200	+	0.325179i	0.998385	−	0.0568151i	$-0.0180946\pi$
$373$	1.43343	+	6.28025i	0.0742200	+	0.325179i	−0.924165	+	0.381994i	$0.875237\pi$
$374$	−3.81300	−	4.78135i	−0.197166	−	0.247238i
$375$	−0.300431	−	1.31627i	−0.0155142	−	0.0679720i
$376$	−30.8894	−	14.8756i	−1.59300	−	0.767148i
$377$	−20.6908	+	25.9454i	−1.06563	+	1.33626i
$378$	−40.3252	−	19.4196i	−2.07411	−	0.998837i
$379$	5.92517	+	7.42993i	0.304356	+	0.381650i	0.910364	−	0.413808i	$-0.135802\pi$
$379$	5.92517	+	7.42993i	0.304356	+	0.381650i	−0.606008	+	0.795458i	$0.707230\pi$
$380$	−1.01698			−0.0521697
$381$	−6.53712			−0.334907
$382$	20.1422	+	25.2575i	1.03057	+	1.29229i
$383$	25.4369	−	12.2498i	1.29976	−	0.625933i	0.349371	−	0.936985i	$-0.386395\pi$
$383$	25.4369	−	12.2498i	1.29976	−	0.625933i	0.950393	+	0.311051i	$0.100681\pi$
$384$	−4.23615	+	18.5598i	−0.216175	+	0.947124i
$385$	0.284705	+	1.24737i	0.0145099	+	0.0635721i
$386$	−19.1931			−0.976903
$387$	−11.7404	−	2.99398i	−0.596797	−	0.152192i
$388$	12.7597			0.647778
$389$	−5.45285	−	23.8905i	−0.276470	−	1.21130i	−0.902222	−	0.431273i	$-0.858065\pi$
$389$	−5.45285	−	23.8905i	−0.276470	−	1.21130i	0.625751	−	0.780023i	$-0.284792\pi$
$390$	−0.370535	+	1.62342i	−0.0187628	+	0.0822052i
$391$	0.510542	−	0.245864i	0.0258192	−	0.0124339i
$392$	12.1847	+	15.2791i	0.615420	+	0.771713i
$393$	19.9830			1.00801
$394$	33.0884			1.66697
$395$	1.13130	+	1.41860i	0.0569218	+	0.0713777i
$396$	−14.2212	−	6.84858i	−0.714643	−	0.344154i
$397$	−9.03038	+	11.3237i	−0.453222	+	0.568322i	−0.954974	−	0.296689i	$-0.904117\pi$
$397$	−9.03038	+	11.3237i	−0.453222	+	0.568322i	0.501752	+	0.865011i	$0.332689\pi$
$398$	−51.2785	−	24.6944i	−2.57036	−	1.23782i
$399$	−2.29264	−	10.0447i	−0.114776	−	0.502864i
$400$	0.784047	+	0.983164i	0.0392023	+	0.0491582i
$401$	−8.11893	−	35.5714i	−0.405440	−	1.77635i	−0.604752	−	0.796414i	$-0.706728\pi$
$401$	−8.11893	−	35.5714i	−0.405440	−	1.77635i	0.199312	−	0.979936i	$-0.436129\pi$
$402$	13.4821	−	6.49264i	0.672426	−	0.323823i
$403$	0.285520	−	0.358031i	0.0142228	−	0.0178348i
$404$	37.5584	−	47.0967i	1.86860	−	2.34315i
$405$	0.00120460	−	0.00527771i	5.98572e−5	−	0.000262252i
$406$	−47.5257	+	22.8872i	−2.35866	+	1.13587i
$407$	−1.00054	−	0.481834i	−0.0495948	−	0.0238836i
$408$	0.640855	−	2.80777i	0.0317271	−	0.139005i
$409$	1.26463	−	5.54072i	0.0625321	−	0.273971i	−0.933990	−	0.357299i	$-0.883698\pi$
$409$	1.26463	−	5.54072i	0.0625321	−	0.273971i	0.996522	+	0.0833278i	$0.0265549\pi$
$410$	3.08596	+	1.48612i	0.152405	+	0.0733943i
$411$	−10.0591	+	4.84420i	−0.496178	+	0.238947i
$412$	−13.6459	+	59.7866i	−0.672286	+	2.94548i
$413$	−30.1719	+	37.8344i	−1.48466	+	1.86171i
$414$	1.48559	−	1.86287i	0.0730128	−	0.0915552i
$415$	1.25259	−	0.603216i	0.0614872	−	0.0296107i
$416$	−7.15206	−	31.3352i	−0.350659	−	1.53634i
$417$	−1.55039	−	1.94412i	−0.0759227	−	0.0952041i
$418$	−3.45590	−	15.1413i	−0.169033	−	0.740584i
$419$	1.73469	+	0.835384i	0.0847453	+	0.0408112i	0.475776	−	0.879566i	$-0.342167\pi$
$419$	1.73469	+	0.835384i	0.0847453	+	0.0408112i	−0.391031	+	0.920378i	$0.627881\pi$
$420$	−1.01298	+	1.27023i	−0.0494283	+	0.0619811i
$421$	12.8412	+	6.18402i	0.625844	+	0.301391i	0.719796	−	0.694186i	$-0.244236\pi$
$421$	12.8412	+	6.18402i	0.625844	+	0.301391i	−0.0939514	+	0.995577i	$0.529950\pi$
$422$	11.1107	+	13.9324i	0.540860	+	0.678217i
$423$	−23.6116			−1.14803
$424$	31.7391			1.54139
$425$	−3.10755	−	3.89675i	−0.150739	−	0.189020i
$426$	−14.9032	+	7.17701i	−0.722064	+	0.347727i
$427$	3.50844	−	15.3715i	0.169785	−	0.743878i
$428$	−2.22532	−	9.74975i	−0.107565	−	0.471272i
$429$	−15.6091			−0.753616
$430$	−0.858229	+	1.67255i	−0.0413875	+	0.0806576i
$431$	13.8022			0.664829			0.332415	−	0.943133i	$-0.392137\pi$
$431$	13.8022			0.664829			0.332415	+	0.943133i	$0.392137\pi$
$432$	0.292155	+	1.28002i	0.0140563	+	0.0615848i
$433$	−3.41620	+	14.9673i	−0.164172	+	0.719285i	0.824083	+	0.566470i	$0.191691\pi$
$433$	−3.41620	+	14.9673i	−0.164172	+	0.719285i	−0.988255	+	0.152815i	$0.951166\pi$
$434$	0.655825	−	0.315829i	0.0314806	−	0.0151603i
$435$	−0.517087	−	0.648407i	−0.0247924	−	0.0310887i
$436$	53.7368			2.57352
$437$	1.43904			0.0688387
$438$	−17.3484	−	21.7542i	−0.828940	−	1.03946i
$439$	−19.9587	−	9.61159i	−0.952576	−	0.458736i	−0.107987	−	0.994152i	$-0.534441\pi$
$439$	−19.9587	−	9.61159i	−0.952576	−	0.458736i	−0.844588	+	0.535416i	$0.820155\pi$
$440$	−0.566279	+	0.710091i	−0.0269963	+	0.0338523i
$441$	12.1261	+	5.83961i	0.577432	+	0.278077i
$442$	2.74010	+	12.0052i	0.130333	+	0.571028i
$443$	−8.83162	−	11.0745i	−0.419603	−	0.526165i	0.526438	−	0.850214i	$-0.323527\pi$
$443$	−8.83162	−	11.0745i	−0.419603	−	0.526165i	−0.946040	+	0.324048i	$0.894956\pi$
$444$	−0.313791	−	1.37481i	−0.0148919	−	0.0652456i
$445$	−1.39212	+	0.670410i	−0.0659929	+	0.0317805i
$446$	20.4465	−	25.6390i	0.968168	−	1.21404i
$447$	5.17609	−	6.49061i	0.244821	−	0.306995i
$448$	10.9441	−	47.9493i	0.517061	−	2.26539i
$449$	−27.9605	+	13.4651i	−1.31954	+	0.635456i	−0.955242	−	0.295827i	$-0.904405\pi$
$449$	−27.9605	+	13.4651i	−1.31954	+	0.635456i	−0.364297	+	0.931283i	$0.618691\pi$
$450$	−18.8820	−	9.09309i	−0.890106	−	0.428652i
$451$	−7.14450	+	31.3021i	−0.336421	+	1.47396i
$452$	3.87395	−	16.9729i	0.182215	−	0.798337i
$453$	2.02702	+	0.976164i	0.0952379	+	0.0458642i
$454$	−27.5623	+	13.2733i	−1.29356	+	0.622946i
$455$	0.573262	−	2.51163i	0.0268749	−	0.117747i
$456$	4.56006	−	5.71814i	0.213544	−	0.267776i
$457$	−21.2225	+	26.6122i	−0.992747	+	1.24486i	−0.0232577	+	0.999730i	$0.507404\pi$
$457$	−21.2225	+	26.6122i	−0.992747	+	1.24486i	−0.969489	+	0.245135i	$0.921168\pi$
$458$	−2.54076	+	1.22357i	−0.118722	+	0.0571735i
$459$	−1.15795	−	5.07332i	−0.0540486	−	0.236802i
$460$	−0.141484	−	0.177416i	−0.00659675	−	0.00827206i
$461$	3.04341	+	13.3340i	0.141746	+	0.621028i	0.995029	+	0.0995815i	$0.0317504\pi$
$461$	3.04341	+	13.3340i	0.141746	+	0.621028i	−0.853284	+	0.521447i	$0.825392\pi$
$462$	−22.3542	−	10.7652i	−1.04001	−	0.500844i
$463$	−8.00627	+	10.0395i	−0.372083	+	0.466577i	−0.932256	−	0.361798i	$-0.882163\pi$
$463$	−8.00627	+	10.0395i	−0.372083	+	0.466577i	0.560174	+	0.828375i	$0.310734\pi$
$464$	1.39413	+	0.671379i	0.0647210	+	0.0311680i
$465$	0.00713548	+	0.00894761i	0.000330900	+	0.000414936i
$466$	37.3281			1.72919
$467$	2.48564			0.115022			0.0575108	−	0.998345i	$-0.481684\pi$
$467$	2.48564			0.115022			0.0575108	+	0.998345i	$0.481684\pi$
$468$	19.8159	+	24.8484i	0.915991	+	1.14862i
$469$	−20.8584	+	10.0449i	−0.963152	+	0.463829i
$470$	−0.815201	+	3.57163i	−0.0376024	+	0.164747i
$471$	−0.550927	−	2.41377i	−0.0253854	−	0.111221i
$472$	−34.3518			−1.58117
$473$	−17.0754	−	4.35449i	−0.785128	−	0.200220i
$474$	−35.1863			−1.61616
$475$	−2.81652	−	12.3400i	−0.129231	−	0.566197i
$476$	−2.67349	+	11.7133i	−0.122539	+	0.536879i
$477$	19.6938	−	9.48403i	0.901716	−	0.434244i
$478$	22.7919	+	28.5802i	1.04248	+	1.30723i
$479$	0.609444			0.0278462			0.0139231	−	0.999903i	$-0.495568\pi$
$479$	0.609444			0.0278462			0.0139231	+	0.999903i	$0.495568\pi$
$480$	0.803244			0.0366629
$481$	1.39416	+	1.74822i	0.0635680	+	0.0797118i
$482$	44.7143	+	21.5333i	2.03668	+	0.980813i
$483$	1.43339	−	1.79741i	0.0652213	−	0.0817850i
$484$	10.8216	+	5.21141i	0.491891	+	0.236882i
$485$	−0.112515	−	0.492961i	−0.00510905	−	0.0223842i
$486$	−22.0854	−	27.6942i	−1.00181	−	1.25623i
$487$	2.37163	+	10.3908i	0.107469	+	0.470852i	0.999810	+	0.0194905i	$0.00620442\pi$
$487$	2.37163	+	10.3908i	0.107469	+	0.470852i	−0.892341	+	0.451362i	$0.850938\pi$
$488$	10.0839	−	4.85616i	0.456478	−	0.219828i
$489$	5.57473	−	6.99049i	0.252098	−	0.316121i
$490$	1.30199	−	1.63265i	0.0588180	−	0.0737555i
$491$	−0.533636	+	2.33801i	−0.0240826	+	0.105513i	−0.985541	−	0.169438i	$-0.945805\pi$
$491$	−0.533636	+	2.33801i	−0.0240826	+	0.105513i	0.961458	+	0.274951i	$0.0886618\pi$
$492$	−36.7331	+	17.6897i	−1.65605	+	0.797514i
$493$	−5.52562	−	2.66100i	−0.248861	−	0.119845i
$494$	−6.95855	+	30.4874i	−0.313080	+	1.37169i
$495$	−0.139186	+	0.609815i	−0.00625596	+	0.0274091i
$496$	−0.0192382	−	0.00926462i	−0.000863820	−	0.000415994i
$497$	23.0570	−	11.1037i	1.03425	−	0.498068i
$498$	−5.99924	+	26.2844i	−0.268832	+	1.17783i
$499$	−11.1069	+	13.9276i	−0.497212	+	0.623484i	−0.965598	−	0.260040i	$-0.916264\pi$
$499$	−11.1069	+	13.9276i	−0.497212	+	0.623484i	0.468386	+	0.883524i	$0.344836\pi$
$500$	−2.49286	+	3.12595i	−0.111484	+	0.139797i
$501$	7.82243	−	3.76708i	0.349480	−	0.168301i
$502$	4.19732	+	18.3897i	0.187336	+	0.820771i
$503$	−12.1633	−	15.2524i	−0.542337	−	0.680069i	0.432847	−	0.901468i	$-0.357509\pi$
$503$	−12.1633	−	15.2524i	−0.542337	−	0.680069i	−0.975183	+	0.221399i	$0.928938\pi$
$504$	4.16900	+	18.2656i	0.185702	+	0.813614i
$505$	−2.15073	−	1.03574i	−0.0957063	−	0.0460897i
$506$	2.16067	−	2.70939i	0.0960535	−	0.120447i
$507$	15.7440	+	7.58191i	0.699216	+	0.336725i
$508$	12.0701	+	15.1354i	0.535524	+	0.671526i
$509$	36.2109			1.60502			0.802509	−	0.596640i	$-0.203498\pi$
$509$	36.2109			1.60502			0.802509	+	0.596640i	$0.203498\pi$
$510$	−0.307739			−0.0136269
$511$	26.8401	+	33.6564i	1.18733	+	1.48887i
$512$	−2.57000	+	1.23765i	−0.113579	+	0.0546968i
$513$	2.94065	−	12.8838i	0.129833	−	0.568834i
$514$	−3.99431	−	17.5002i	−0.176182	−	0.771902i
$515$	2.43013			0.107085
$516$	−9.19594	−	20.3999i	−0.404829	−	0.898057i
$517$	−34.3411			−1.51032
$518$	0.790905	+	3.46518i	0.0347504	+	0.152251i
$519$	0.560000	−	2.45352i	0.0245813	−	0.107698i
$520$	1.64766	−	0.793473i	0.0722548	−	0.0347961i
$521$	−16.3961	−	20.5601i	−0.718328	−	0.900755i	0.279914	−	0.960025i	$-0.409694\pi$
$521$	−16.3961	−	20.5601i	−0.718328	−	0.900755i	−0.998242	+	0.0592699i	$0.981123\pi$
$522$	−25.7881			−1.12872
$523$	5.71504			0.249901			0.124951	−	0.992163i	$-0.460123\pi$
$523$	5.71504			0.249901			0.124951	+	0.992163i	$0.460123\pi$
$524$	−36.8964	−	46.2667i	−1.61183	−	2.02117i
$525$	−18.2185	−	8.77355i	−0.795119	−	0.382909i
$526$	42.7453	−	53.6009i	1.86378	−	2.33711i
$527$	0.0762502	+	0.0367201i	0.00332151	+	0.00159955i
$528$	0.161956	+	0.709575i	0.00704823	+	0.0308803i
$529$	−14.1401	−	17.7311i	−0.614785	−	0.770916i
$530$	−0.754674	−	3.30644i	−0.0327809	−	0.143623i
$531$	−21.3150	+	10.2647i	−0.924990	+	0.445452i
$532$	−19.0234	+	23.8546i	−0.824771	+	1.03423i
$533$	40.3077	−	50.5443i	1.74592	−	2.18932i
$534$	6.66752	−	29.2123i	0.288532	−	1.26414i
$535$	−0.357050	+	0.171946i	−0.0154366	+	0.00743389i
$536$	−14.8067	−	7.13052i	−0.639551	−	0.307992i
$537$	0.471023	−	2.06369i	0.0203261	−	0.0890547i
$538$	10.9932	−	48.1644i	0.473951	−	2.07652i
$539$	17.6364	+	8.49323i	0.759652	+	0.365829i
$540$	−1.87753	+	0.904172i	−0.0807961	+	0.0389094i
$541$	1.24121	−	5.43812i	0.0533640	−	0.233803i	−0.941212	−	0.337817i	$-0.890312\pi$
$541$	1.24121	−	5.43812i	0.0533640	−	0.233803i	0.994576	+	0.104014i	$0.0331687\pi$
$542$	35.7882	−	44.8769i	1.53723	−	1.92763i
$543$	13.2316	−	16.5919i	0.567823	−	0.712027i
$544$	5.35173	−	2.57726i	0.229453	−	0.110499i
$545$	−0.473850	−	2.07607i	−0.0202975	−	0.0889292i
$546$	31.1485	+	39.0590i	1.33303	+	1.67157i
$547$	4.42834	+	19.4018i	0.189342	+	0.829562i	0.976964	+	0.213404i	$0.0684549\pi$
$547$	4.42834	+	19.4018i	0.189342	+	0.829562i	−0.787622	+	0.616159i	$0.788688\pi$
$548$	29.7888	+	14.3455i	1.27252	+	0.612811i
$549$	4.80589	−	6.02640i	0.205110	−	0.257200i
$550$	−27.4623	−	13.2251i	−1.17100	−	0.563922i
$551$	−9.71075	−	12.1769i	−0.413692	−	0.518753i
$552$	1.63196			0.0694610
$553$	54.4374			2.31491
$554$	29.8409	+	37.4193i	1.26782	+	1.58979i
$555$	−0.0503476	+	0.0242461i	−0.00213714	+	0.00102919i
$556$	−1.63861	+	7.17923i	−0.0694927	+	0.304467i
$557$	8.13451	+	35.6396i	0.344670	+	1.51010i	0.789088	+	0.614280i	$0.210553\pi$
$557$	8.13451	+	35.6396i	0.344670	+	1.51010i	−0.444418	+	0.895820i	$0.646589\pi$
$558$	0.355860			0.0150648
$559$	27.1727	+	22.8173i	1.14928	+	0.965070i
$560$	−0.120124			−0.00507616
$561$	−0.641909	−	2.81239i	−0.0271014	−	0.118739i
$562$	−0.437463	+	1.91665i	−0.0184533	+	0.0808491i
$563$	12.3479	−	5.94642i	0.520401	−	0.250612i	−0.155195	−	0.987884i	$-0.549601\pi$
$563$	12.3479	−	5.94642i	0.520401	−	0.250612i	0.675596	+	0.737272i	$0.263886\pi$
$564$	−27.1888	−	34.0936i	−1.14485	−	1.43560i
$565$	−0.689893			−0.0290240
$566$	−1.88330			−0.0791611
$567$	−0.101263	−	0.126980i	−0.00425266	−	0.00533267i
$568$	16.3674	+	7.88213i	0.686762	+	0.330727i
$569$	9.91680	−	12.4353i	0.415734	−	0.521314i	−0.529234	−	0.848476i	$-0.677521\pi$
$569$	9.91680	−	12.4353i	0.415734	−	0.521314i	0.944968	+	0.327162i	$0.106092\pi$
$570$	−0.704117	−	0.339085i	−0.0294922	−	0.0142027i
$571$	−0.371678	−	1.62843i	−0.0155542	−	0.0681476i	0.966555	−	0.256459i	$-0.0825558\pi$
$571$	−0.371678	−	1.62843i	−0.0155542	−	0.0681476i	−0.982109	+	0.188311i	$0.939699\pi$
$572$	28.8206	+	36.1399i	1.20505	+	1.51109i
$573$	3.39089	+	14.8565i	0.141656	+	0.620638i
$574$	92.5849	−	44.5865i	3.86442	−	1.86101i
$575$	1.76092	−	2.20813i	0.0734355	−	0.0920852i
$576$	14.9913	−	18.7985i	0.624639	−	0.783272i
$577$	−7.78953	+	34.1282i	−0.324282	+	1.42077i	0.505567	+	0.862787i	$0.331283\pi$
$577$	−7.78953	+	34.1282i	−0.324282	+	1.42077i	−0.829850	+	0.557987i	$0.811574\pi$
$578$	−2.05036	+	0.987400i	−0.0852836	+	0.0410704i
$579$	−8.15680	−	3.92811i	−0.338985	−	0.163247i
$580$	−0.546513	+	2.39443i	−0.0226927	+	0.0994232i
$581$	9.28153	−	40.6650i	0.385063	−	1.68707i
$582$	8.83438	+	4.25441i	0.366197	+	0.176351i
$583$	28.6430	−	13.7937i	1.18627	−	0.571278i
$584$	−6.79989	+	29.7922i	−0.281381	+	1.23281i
$585$	0.785259	−	0.984684i	0.0324665	−	0.0407117i
$586$	9.62517	−	12.0696i	0.397612	−	0.498590i
$587$	−33.0037	+	15.8937i	−1.36221	+	0.656004i	−0.965128	−	0.261780i	$-0.915690\pi$
$587$	−33.0037	+	15.8937i	−1.36221	+	0.656004i	−0.397079	+	0.917784i	$0.629976\pi$
$588$	5.53116	+	24.2336i	0.228101	+	0.999377i
$589$	0.134002	+	0.168034i	0.00552147	+	0.00692371i
$590$	0.816798	+	3.57862i	0.0336270	+	0.147330i
$591$	14.0621	+	6.77196i	0.578438	+	0.278561i
$592$	0.0650067	−	0.0815159i	0.00267176	−	0.00335028i
$593$	13.9855	+	6.73505i	0.574315	+	0.276576i	0.698414	−	0.715694i	$-0.253890\pi$
$593$	13.9855	+	6.73505i	0.574315	+	0.276576i	−0.124099	+	0.992270i	$0.539604\pi$
$594$	−19.8421	−	24.8812i	−0.814129	−	1.02089i
$595$	0.476109			0.0195186
$596$	−24.5848			−1.00703
$597$	−16.7386	−	20.9896i	−0.685066	−	0.859046i
$598$	−6.28676	+	3.02754i	−0.257085	+	0.123806i
$599$	3.58878	−	15.7235i	0.146634	−	0.642444i	−0.847173	−	0.531318i	$-0.821697\pi$
$599$	3.58878	−	15.7235i	0.146634	−	0.642444i	0.993806	−	0.111126i	$-0.0354457\pi$
$600$	−3.19411	−	13.9943i	−0.130399	−	0.571315i
$601$	13.4110			0.547045			0.273522	−	0.961866i	$-0.411811\pi$
$601$	13.4110			0.547045			0.273522	+	0.961866i	$0.411811\pi$
$602$	23.1782	+	51.4176i	0.944672	+	2.09563i
$603$	−11.3181			−0.460908
$604$	−1.48257	−	6.49556i	−0.0603249	−	0.264301i
$605$	0.105914	−	0.464038i	0.00430600	−	0.0188658i
$606$	41.7073	−	20.0852i	1.69424	−	0.815904i
$607$	−28.8145	−	36.1323i	−1.16955	−	1.46656i	−0.855989	−	0.516994i	$-0.827051\pi$
$607$	−28.8145	−	36.1323i	−1.16955	−	1.46656i	−0.313557	−	0.949569i	$-0.601521\pi$
$608$	15.0847			0.611765
$609$	−24.8819			−1.00827
$610$	−0.745663	−	0.935032i	−0.0301910	−	0.0378584i
$611$	62.2991	+	30.0017i	2.52035	+	1.21374i
$612$	−3.66217	+	4.59221i	−0.148034	+	0.185629i
$613$	−20.4575	−	9.85179i	−0.826269	−	0.397910i	−0.0275545	−	0.999620i	$-0.508772\pi$
$613$	−20.4575	−	9.85179i	−0.826269	−	0.397910i	−0.798715	+	0.601710i	$0.794486\pi$
$614$	−10.8885	−	47.7055i	−0.439423	−	1.92524i
$615$	1.00734	+	1.26316i	0.0406198	+	0.0509356i
$616$	6.06347	+	26.5658i	0.244304	+	1.07037i
$617$	2.18716	−	1.05328i	0.0880519	−	0.0424036i	−0.389339	−	0.921094i	$-0.627297\pi$
$617$	2.18716	−	1.05328i	0.0880519	−	0.0424036i	0.477391	+	0.878691i	$0.341582\pi$
$618$	−29.3823	+	36.8442i	−1.18193	+	1.48209i
$619$	10.6311	−	13.3310i	0.427301	−	0.535819i	−0.520846	−	0.853651i	$-0.674383\pi$
$619$	10.6311	−	13.3310i	0.427301	−	0.535819i	0.948147	+	0.317832i	$0.102955\pi$
$620$	0.00754154	−	0.0330416i	0.000302875	−	0.00132698i
$621$	2.65675	−	1.27942i	0.106612	−	0.0513415i
$622$	51.0958	+	24.6064i	2.04875	+	0.986628i
$623$	−10.3154	+	45.1949i	−0.413279	+	1.81069i
$624$	0.326103	−	1.42875i	0.0130546	−	0.0571958i
$625$	−22.3100	−	10.7439i	−0.892399	−	0.429757i
$626$	−20.3536	+	9.80177i	−0.813493	+	0.391757i
$627$	1.63014	−	7.14213i	0.0651017	−	0.285229i
$628$	−4.57138	+	5.73233i	−0.182418	+	0.228745i
$629$	−0.257653	+	0.323087i	−0.0102733	+	0.0128823i
$630$	1.80370	−	0.868617i	0.0718612	−	0.0346065i
$631$	−5.52029	−	24.1860i	−0.219759	−	0.962829i	−0.957656	−	0.287915i	$-0.907038\pi$
$631$	−5.52029	−	24.1860i	−0.219759	−	0.962829i	0.737897	−	0.674914i	$-0.235819\pi$
$632$	24.0937	+	30.2125i	0.958395	+	1.20179i
$633$	1.87046	+	8.19501i	0.0743440	+	0.325722i
$634$	−4.03298	−	1.94218i	−0.160170	−	0.0771338i
$635$	0.478310	−	0.599782i	0.0189812	−	0.0238016i
$636$	36.3718	+	17.5157i	1.44223	+	0.694544i
$637$	−24.5746	−	30.8156i	−0.973682	−	1.22096i
$638$	−37.5067			−1.48491
$639$	12.5111			0.494931
$640$	−1.39291	−	1.74665i	−0.0550596	−	0.0690426i
$641$	−15.1736	+	7.30722i	−0.599321	+	0.288618i	−0.708843	−	0.705367i	$-0.750782\pi$
$641$	−15.1736	+	7.30722i	−0.599321	+	0.288618i	0.109522	+	0.993984i	$0.465068\pi$
$642$	1.71008	−	7.49235i	0.0674915	−	0.295699i
$643$	2.08610	+	9.13982i	0.0822679	+	0.360439i	0.999260	−	0.0384663i	$-0.0122472\pi$
$643$	2.08610	+	9.13982i	0.0822679	+	0.360439i	−0.916992	+	0.398906i	$0.869390\pi$
$644$	−6.80815			−0.268279
$645$	−0.707044	+	0.535164i	−0.0278398	+	0.0210720i
$646$	−5.77926			−0.227382
$647$	4.85695	+	21.2797i	0.190946	+	0.836591i	0.976106	+	0.217297i	$0.0697239\pi$
$647$	4.85695	+	21.2797i	0.190946	+	0.836591i	−0.785159	+	0.619294i	$0.787419\pi$
$648$	0.0256549	−	0.112401i	0.00100782	−	0.00441554i
$649$	−31.0008	+	14.9292i	−1.21689	+	0.586023i
$650$	38.2661	+	47.9842i	1.50092	+	1.88210i
$651$	0.343355			0.0134571
$652$	−26.4783			−1.03697
$653$	2.92596	+	3.66903i	0.114502	+	0.143580i	0.835779	−	0.549066i	$-0.185016\pi$
$653$	2.92596	+	3.66903i	0.114502	+	0.143580i	−0.721278	+	0.692646i	$0.756445\pi$
$654$	37.2054	+	17.9172i	1.45485	+	0.700617i
$655$	−1.46212	+	1.83344i	−0.0571298	+	0.0716385i
$656$	−2.71591	−	1.30791i	−0.106039	−	0.0510655i
$657$	4.68302	+	20.5177i	0.182702	+	0.800471i
$658$	68.5287	+	85.9323i	2.67153	+	3.34999i
$659$	−6.41222	−	28.0938i	−0.249785	−	1.09438i	−0.931781	−	0.363022i	$-0.881745\pi$
$659$	−6.41222	−	28.0938i	−0.249785	−	1.09438i	0.681996	−	0.731356i	$-0.261112\pi$
$660$	−1.04081	+	0.501227i	−0.0405134	+	0.0195102i
$661$	1.87566	−	2.35201i	0.0729549	−	0.0914826i	−0.744015	−	0.668163i	$-0.767081\pi$
$661$	1.87566	−	2.35201i	0.0729549	−	0.0914826i	0.816970	+	0.576681i	$0.195652\pi$
$662$	−18.9143	+	23.7178i	−0.735125	+	0.921818i
$663$	−1.29250	+	5.66283i	−0.0501967	+	0.219926i
$664$	26.6769	−	12.8469i	1.03526	−	0.498557i
$665$	1.08935	+	0.524604i	0.0422433	+	0.0203433i
$666$	−0.386657	+	1.69405i	−0.0149826	+	0.0656432i
$667$	0.773328	−	3.38817i	0.0299434	−	0.131190i
$668$	−23.1652	−	11.1558i	−0.896290	−	0.431630i
$669$	13.9368	−	6.71162i	0.538828	−	0.259486i
$670$	−0.390762	+	1.71204i	−0.0150965	+	0.0661419i
$671$	6.98977	−	8.76490i	0.269837	−	0.338365i
$672$	15.0254	−	18.8413i	0.579618	−	0.726817i
$673$	−24.1314	+	11.6210i	−0.930195	+	0.447958i	−0.836700	−	0.547661i	$-0.815518\pi$
$673$	−24.1314	+	11.6210i	−0.930195	+	0.447958i	−0.0934952	+	0.995620i	$0.529804\pi$
$674$	−3.03155	−	13.2821i	−0.116771	−	0.511607i
$675$	−16.1711	−	20.2779i	−0.622424	−	0.780495i
$676$	−11.5152	−	50.4514i	−0.442892	−	1.94044i
$677$	−15.4176	−	7.42472i	−0.592546	−	0.285355i	0.113481	−	0.993540i	$-0.463800\pi$
$677$	−15.4176	−	7.42472i	−0.592546	−	0.285355i	−0.706027	+	0.708185i	$0.749514\pi$
$678$	8.34137	−	10.4597i	0.320348	−	0.401704i
$679$	−13.6678	−	6.58208i	−0.524523	−	0.252597i
$680$	0.210723	+	0.264238i	0.00808086	+	0.0101331i
$681$	−14.4301			−0.552964
$682$	0.517570			0.0198188
$683$	−19.6580	−	24.6504i	−0.752194	−	0.943221i	0.247477	−	0.968894i	$-0.420399\pi$
$683$	−19.6580	−	24.6504i	−0.752194	−	0.943221i	−0.999670	+	0.0256727i	$0.991827\pi$
$684$	−13.4391	+	6.47194i	−0.513858	+	0.247461i
$685$	0.291550	−	1.27736i	0.0111396	−	0.0488056i
$686$	−0.543910	−	2.38303i	−0.0207666	−	0.0909843i
$687$	−1.33021			−0.0507505
$688$	0.755316	−	1.47199i	0.0287961	−	0.0561190i
$689$	−64.0127			−2.43869
$690$	−0.0388039	−	0.170011i	−0.00147724	−	0.00647220i
$691$	5.48161	−	24.0165i	0.208530	−	0.913631i	−0.757015	−	0.653397i	$-0.773343\pi$
$691$	5.48161	−	24.0165i	0.208530	−	0.913631i	0.965546	−	0.260234i	$-0.0837997\pi$
$692$	−6.71462	+	3.23359i	−0.255252	+	0.122923i
$693$	11.7005	+	14.6720i	0.444465	+	0.557342i
$694$	−31.6942			−1.20309
$695$	0.291813			0.0110691
$696$	−11.0126	−	13.8094i	−0.417431	−	0.523442i
$697$	10.7645	+	5.18390i	0.407733	+	0.196354i
$698$	38.1505	−	47.8392i	1.44402	−	1.81074i
$699$	15.8639	+	7.63967i	0.600029	+	0.288959i
$700$	13.3250	+	58.3807i	0.503638	+	2.20658i
$701$	6.98891	+	8.76382i	0.263968	+	0.331005i	0.896097	−	0.443858i	$-0.146390\pi$
$701$	6.98891	+	8.76382i	0.263968	+	0.331005i	−0.632130	+	0.774863i	$0.717819\pi$
$702$	14.2589	+	62.4724i	0.538168	+	2.35787i
$703$	−0.945514	+	0.455335i	−0.0356607	+	0.0171733i
$704$	21.8037	−	27.3409i	0.821756	−	1.03045i
$705$	−1.07743	+	1.35105i	−0.0405783	+	0.0508835i
$706$	7.90358	−	34.6278i	0.297455	−	1.30324i
$707$	−64.5261	+	31.0741i	−2.42675	+	1.16866i
$708$	−39.3659	−	18.9576i	−1.47946	−	0.712470i
$709$	4.47994	−	19.6279i	0.168248	−	0.737142i	−0.818450	−	0.574577i	$-0.805166\pi$
$709$	4.47994	−	19.6279i	0.168248	−	0.737142i	0.986698	−	0.162564i	$-0.0519764\pi$
$710$	0.431951	−	1.89250i	0.0162108	−	0.0710244i
$711$	23.9777	+	11.5471i	0.899236	+	0.433049i
$712$	−29.6485	+	14.2780i	−1.11113	+	0.535090i
$713$	−0.0106714	+	0.0467547i	−0.000399649	+	0.00175098i
$714$	−5.75654	+	7.21847i	−0.215433	+	0.270145i
$715$	1.14209	−	1.43214i	0.0427119	−	0.0535590i
$716$	−5.64776	+	2.71982i	−0.211067	+	0.101644i
$717$	3.83696	+	16.8108i	0.143294	+	0.627812i
$718$	−21.0294	−	26.3700i	−0.784808	−	0.984119i
$719$	−1.07925	−	4.72849i	−0.0402492	−	0.176343i	0.950808	−	0.309781i	$-0.100256\pi$
$719$	−1.07925	−	4.72849i	−0.0402492	−	0.176343i	−0.991057	+	0.133438i	$0.957398\pi$
$720$	−0.0529103	−	0.0254803i	−0.00197185	−	0.000949594i
$721$	45.4579	−	57.0024i	1.69294	−	2.12288i
$722$	25.7337	+	12.3927i	0.957708	+	0.461208i
$723$	14.5959	+	18.3027i	0.542827	+	0.680684i
$724$	−62.8461			−2.33566
$725$	−30.5676			−1.13525
$726$	5.75488	+	7.21639i	0.213584	+	0.267825i
$727$	22.3924	−	10.7836i	0.830490	−	0.399943i	0.0301909	−	0.999544i	$-0.490388\pi$
$727$	22.3924	−	10.7836i	0.830490	−	0.399943i	0.800299	+	0.599601i	$0.204674\pi$
$728$	12.2090	−	53.4910i	0.452495	−	1.98251i
$729$	−3.74670	−	16.4154i	−0.138767	−	0.607977i
$730$	3.26531			0.120855
$731$	−2.99368	+	5.83420i	−0.110725	+	0.215786i
$732$	14.2357			0.526168
$733$	−2.95096	−	12.9290i	−0.108996	−	0.477544i	−0.999735	−	0.0230277i	$-0.992669\pi$
$733$	−2.95096	−	12.9290i	−0.108996	−	0.477544i	0.890739	−	0.454516i	$-0.150188\pi$
$734$	−6.38566	+	27.9774i	−0.235699	+	1.03266i
$735$	0.887471	−	0.427383i	0.0327349	−	0.0157643i
$736$	2.09863	+	2.63159i	0.0773564	+	0.0970018i
$737$	−16.4612			−0.606356
$738$	50.2379			1.84928
$739$	−24.0755	−	30.1897i	−0.885632	−	1.11055i	−0.993208	−	0.116350i	$-0.962881\pi$
$739$	−24.0755	−	30.1897i	−0.885632	−	1.11055i	0.107577	−	0.994197i	$-0.465691\pi$
$740$	0.149099	+	0.0718021i	0.00548097	+	0.00263950i
$741$	−9.19692	+	11.5326i	−0.337857	+	0.423660i
$742$	−91.6743	−	44.1480i	−3.36547	−	1.62072i
$743$	−8.82715	−	38.6743i	−0.323837	−	1.41882i	−0.830664	−	0.556773i	$-0.812039\pi$
$743$	−8.82715	−	38.6743i	−0.323837	−	1.41882i	0.506828	−	0.862047i	$-0.330818\pi$
$744$	0.151967	+	0.190561i	0.00557138	+	0.00698629i
$745$	0.216789	+	0.949814i	0.00794253	+	0.0347985i
$746$	13.2079	−	6.36059i	0.483576	−	0.232878i
$747$	12.7139	−	15.9427i	0.465178	−	0.583314i
$748$	−5.32632	+	6.67899i	−0.194750	+	0.244208i
$749$	−2.64570	+	11.5916i	−0.0966716	+	0.423546i
$750$	−2.76823	+	1.33311i	−0.101082	+	0.0486783i
$751$	27.5492	+	13.2670i	1.00529	+	0.484120i	0.862729	−	0.505666i	$-0.168753\pi$
$751$	27.5492	+	13.2670i	1.00529	+	0.484120i	0.142557	+	0.989787i	$0.454468\pi$
$752$	0.717447	−	3.14334i	0.0261626	−	0.114626i
$753$	−1.97987	+	8.67439i	−0.0721505	+	0.316112i
$754$	68.0420	+	32.7673i	2.47794	+	1.19331i
$755$	−0.237877	+	0.114556i	−0.00865723	+	0.00416910i
$756$	−13.9123	+	60.9536i	−0.505984	+	2.21686i
$757$	2.41210	−	3.02468i	0.0876694	−	0.109934i	−0.736062	−	0.676914i	$-0.763317\pi$
$757$	2.41210	−	3.02468i	0.0876694	−	0.109934i	0.823732	+	0.566980i	$0.191888\pi$
$758$	13.4841	−	16.9085i	0.489763	−	0.614143i
$759$	1.47277	−	0.709247i	0.0534580	−	0.0257440i
$760$	0.190988	+	0.836773i	0.00692786	+	0.0303529i
$761$	22.6438	+	28.3944i	0.820837	+	1.02930i	0.998974	+	0.0452911i	$0.0144215\pi$
$761$	22.6438	+	28.3944i	0.820837	+	1.02930i	−0.178137	+	0.984006i	$0.557007\pi$
$762$	3.31037	+	14.5037i	0.119922	+	0.525413i
$763$	−57.5611	−	27.7200i	−2.08385	−	1.00353i
$764$	28.1363	−	35.2818i	1.01794	−	1.27645i
$765$	0.209709	+	0.100991i	0.00758205	+	0.00365132i
$766$	−40.0593	−	50.2327i	−1.44740	−	1.81498i
$767$	69.2822			2.50164
$768$	15.3850			0.555160
$769$	1.60007	+	2.00642i	0.0576999	+	0.0723534i	0.809844	−	0.586645i	$-0.199552\pi$
$769$	1.60007	+	2.00642i	0.0576999	+	0.0723534i	−0.752144	+	0.658999i	$0.770980\pi$
$770$	2.62333	−	1.26333i	0.0945384	−	0.0455273i
$771$	1.88411	−	8.25484i	0.0678547	−	0.297291i
$772$	5.96590	+	26.1383i	0.214718	+	0.940739i
$773$	−16.2076			−0.582946			−0.291473	−	0.956579i	$-0.594145\pi$
$773$	−16.2076			−0.582946			−0.291473	+	0.956579i	$0.594145\pi$
$774$	−0.697360	+	27.5641i	−0.0250661	+	0.990772i
$775$	0.421813			0.0151520
$776$	−2.39628	−	10.4988i	−0.0860214	−	0.376884i
$777$	−0.373069	+	1.63452i	−0.0133838	+	0.0586382i
$778$	−50.2437	+	24.1961i	−1.80132	+	0.867472i
$779$	18.9175	+	23.7218i	0.677791	+	0.849923i
$780$	2.32605			0.0832859
$781$	18.1963			0.651116
$782$	−0.804026	−	1.00822i	−0.0287519	−	0.0360538i
$783$	−28.7542	−	13.8473i	−1.02759	−	0.494861i
$784$	−1.14587	+	1.43687i	−0.0409238	+	0.0513168i
$785$	0.261774	+	0.126064i	0.00934312	+	0.00449941i
$786$	−10.1193	−	44.3356i	−0.360944	−	1.58140i
$787$	−5.37664	−	6.74209i	−0.191656	−	0.240330i	0.676714	−	0.736246i	$-0.263404\pi$
$787$	−5.37664	−	6.74209i	−0.191656	−	0.240330i	−0.868370	+	0.495917i	$0.834832\pi$
$788$	−10.2851	−	45.0618i	−0.366390	−	1.60526i
$789$	29.1363	−	14.0313i	1.03728	−	0.499527i
$790$	2.57452	−	3.22835i	0.0915975	−	0.114860i
$791$	−12.9051	+	16.1825i	−0.458852	+	0.575382i
$792$	−2.96430	+	12.9875i	−0.105332	+	0.461489i
$793$	−20.3377	+	9.79411i	−0.722212	+	0.347799i
$794$	29.6966	+	14.3011i	1.05389	+	0.507527i
$795$	0.355979	−	1.55965i	0.0126253	−	0.0553149i
$796$	−17.6912	+	77.5100i	−0.627046	+	2.74727i
$797$	14.6302	+	7.04554i	0.518229	+	0.249566i	0.674667	−	0.738122i	$-0.264287\pi$
$797$	14.6302	+	7.04554i	0.518229	+	0.249566i	−0.156439	+	0.987688i	$0.550001\pi$
$798$	−21.1249	+	10.1732i	−0.747813	+	0.360128i
$799$	−2.84359	+	12.4586i	−0.100599	+	0.440752i
$800$	18.4588	−	23.1466i	0.652617	−	0.818355i
$801$	−14.1302	+	17.7187i	−0.499265	+	0.626058i
$802$	−74.8096	+	36.0264i	−2.64162	+	1.27214i
$803$	6.81107	+	29.8413i	0.240358	+	1.05308i
$804$	−13.0328	−	16.3426i	−0.459631	−	0.576359i
$805$	0.0600342	+	0.263027i	0.00211593	+	0.00927048i
$806$	−0.938937	−	0.452168i	−0.0330727	−	0.0159270i
$807$	14.5294	−	18.2193i	0.511460	−	0.641350i
$808$	−45.8049	−	22.0585i	−1.61141	−	0.776015i
$809$	7.68647	+	9.63852i	0.270242	+	0.338872i	0.898372	−	0.439236i	$-0.144751\pi$
$809$	7.68647	+	9.63852i	0.270242	+	0.338872i	−0.628130	+	0.778108i	$0.716179\pi$
$810$	−0.0123195			−0.000432863
$811$	−15.9315			−0.559432			−0.279716	−	0.960083i	$-0.590240\pi$
$811$	−15.9315			−0.559432			−0.279716	+	0.960083i	$0.590240\pi$
$812$	45.9418	+	57.6092i	1.61224	+	2.02169i
$813$	24.3941	−	11.7476i	0.855539	−	0.412006i
$814$	−0.562360	+	2.46386i	−0.0197107	+	0.0863583i
$815$	0.233485	+	1.02296i	0.00817862	+	0.0358329i
$816$	0.270837			0.00948119
$817$	−13.2781	+	10.0502i	−0.464542	+	0.351613i
$818$	−12.9334			−0.452207
$819$	−8.40822	−	36.8388i	−0.293807	−	1.28725i
$820$	1.06466	−	4.66459i	0.0371796	−	0.162895i
$821$	−1.04508	+	0.503285i	−0.0364736	+	0.0175648i	−0.452032	−	0.892002i	$-0.649301\pi$
$821$	−1.04508	+	0.503285i	−0.0364736	+	0.0175648i	0.415558	+	0.909567i	$0.363586\pi$
$822$	15.8415	+	19.8647i	0.552537	+	0.692860i
$823$	−25.5425			−0.890357			−0.445178	−	0.895442i	$-0.646860\pi$
$823$	−25.5425			−0.890357			−0.445178	+	0.895442i	$0.646860\pi$
$824$	51.7555			1.80299
$825$	−8.96441	−	11.2410i	−0.312101	−	0.391362i
$826$	99.2208	+	47.7822i	3.45233	+	1.66256i
$827$	19.8728	−	24.9196i	0.691043	−	0.866541i	−0.305276	−	0.952264i	$-0.598749\pi$
$827$	19.8728	−	24.9196i	0.691043	−	0.866541i	0.996319	+	0.0857232i	$0.0273201\pi$
$828$	−2.99875	−	1.44412i	−0.104214	−	0.0501867i
$829$	6.54857	+	28.6912i	0.227441	+	0.996485i	0.951717	+	0.306975i	$0.0993169\pi$
$829$	6.54857	+	28.6912i	0.227441	+	0.996485i	−0.724276	+	0.689510i	$0.757826\pi$
$830$	−1.97264	−	2.47361i	−0.0684714	−	0.0858604i
$831$	5.02364	+	22.0100i	0.174268	+	0.763519i
$832$	−63.4407	+	30.5514i	−2.19941	+	1.05918i
$833$	4.54162	−	5.69501i	0.157358	−	0.197320i
$834$	−3.52825	+	4.42429i	−0.122173	+	0.153201i
$835$	−0.226723	+	0.993340i	−0.00784609	+	0.0343759i
$836$	−19.5461	+	9.41290i	−0.676016	+	0.325552i
$837$	0.396790	+	0.191084i	0.0137151	+	0.00660482i
$838$	0.974997	−	4.27174i	0.0336807	−	0.147565i
$839$	−9.85255	+	43.1669i	−0.340148	+	1.49029i	0.458613	+	0.888636i	$0.348347\pi$
$839$	−9.85255	+	43.1669i	−0.340148	+	1.49029i	−0.798761	+	0.601649i	$0.794511\pi$
$840$	1.23539	+	0.594934i	0.0426251	+	0.0205272i
$841$	−7.76040	+	3.73721i	−0.267600	+	0.128869i
$842$	7.21752	−	31.6220i	0.248732	−	1.08977i
$843$	−0.578183	+	0.725018i	−0.0199137	+	0.0249710i
$844$	15.5203	−	19.4619i	0.534232	−	0.669906i
$845$	−1.84760	+	0.889759i	−0.0635595	+	0.0306086i
$846$	11.9568	+	52.3862i	0.411083	+	1.80107i
$847$	−8.90348	−	11.1646i	−0.305927	−	0.383620i
$848$	0.664178	+	2.90995i	0.0228080	+	0.0999282i
$849$	−0.800378	−	0.385442i	−0.0274689	−	0.0132283i
$850$	−7.07194	+	8.86793i	−0.242565	+	0.304167i
$851$	−0.210978	−	0.101602i	−0.00723223	−	0.00348286i
$852$	14.4065	+	18.0652i	0.493560	+	0.618905i
$853$	−45.1197			−1.54487			−0.772435	−	0.635094i	$-0.780962\pi$
$853$	−45.1197			−1.54487			−0.772435	+	0.635094i	$0.780962\pi$
$854$	−35.8809			−1.22782
$855$	0.368544	+	0.462139i	0.0126039	+	0.0158048i
$856$	−7.60423	+	3.66201i	−0.259907	+	0.125165i
$857$	−10.8246	+	47.4258i	−0.369762	+	1.62003i	0.357665	+	0.933850i	$0.383573\pi$
$857$	−10.8246	+	47.4258i	−0.369762	+	1.62003i	−0.727427	+	0.686185i	$0.759284\pi$
$858$	7.90441	+	34.6315i	0.269852	+	1.18230i
$859$	4.45512			0.152007			0.0760034	−	0.997108i	$-0.475784\pi$
$859$	4.45512			0.152007			0.0760034	+	0.997108i	$0.475784\pi$
$860$	2.54455	+	0.648900i	0.0867684	+	0.0221273i
$861$	48.4725			1.65194
$862$	−6.98939	−	30.6225i	−0.238060	−	1.04301i
$863$	4.48705	−	19.6590i	0.152741	−	0.669202i	−0.839341	−	0.543606i	$-0.817059\pi$
$863$	4.48705	−	19.6590i	0.152741	−	0.669202i	0.992082	−	0.125596i	$-0.0400842\pi$
$864$	27.8493	−	13.4115i	0.947451	−	0.456268i
$865$	0.184136	+	0.230900i	0.00626083	+	0.00785083i
$866$	34.9375			1.18723
$867$	−1.07346			−0.0364565
$868$	−0.633969	−	0.794972i	−0.0215183	−	0.0269831i
$869$	34.8737	+	16.7943i	1.18301	+	0.569707i
$870$	−1.17675	+	1.47559i	−0.0398955	+	0.0500273i
$871$	29.8627	+	14.3811i	1.01186	+	0.487286i
$872$	−10.0918	−	44.2149i	−0.341750	−	1.49730i
$873$	−4.62403	−	5.79835i	−0.156500	−	0.196244i
$874$	−0.728726	−	3.19276i	−0.0246495	−	0.107997i
$875$	4.28278	−	2.06248i	0.144785	−	0.0697246i
$876$	−24.2337	+	30.3881i	−0.818782	+	1.02672i
$877$	−4.90067	+	6.14525i	−0.165484	+	0.207510i	−0.857658	−	0.514220i	$-0.828082\pi$
$877$	−4.90067	+	6.14525i	−0.165484	+	0.207510i	0.692174	+	0.721730i	$0.256653\pi$
$878$	−11.2179	+	49.1489i	−0.378587	+	1.65870i
$879$	6.56076	−	3.15949i	0.221289	−	0.106567i
$880$	−0.0769537	−	0.0370589i	−0.00259411	−	0.00124926i
$881$	5.49352	−	24.0687i	0.185081	−	0.810895i	−0.794080	−	0.607813i	$-0.792047\pi$
$881$	5.49352	−	24.0687i	0.185081	−	0.810895i	0.979162	−	0.203082i	$-0.0650958\pi$
$882$	6.81555	−	29.8609i	0.229491	−	1.00547i
$883$	−31.0054	−	14.9314i	−1.04342	−	0.502483i	−0.167967	−	0.985793i	$-0.553720\pi$
$883$	−31.0054	−	14.9314i	−1.04342	−	0.502483i	−0.875449	+	0.483310i	$0.839434\pi$
$884$	15.4976	−	7.46327i	0.521242	−	0.251017i
$885$	−0.385283	+	1.68803i	−0.0129511	+	0.0567426i
$886$	−20.0983	+	25.2025i	−0.675216	+	0.846695i
$887$	−21.7197	+	27.2356i	−0.729275	+	0.914482i	−0.998823	−	0.0485053i	$-0.984554\pi$
$887$	−21.7197	+	27.2356i	−0.729275	+	0.914482i	0.269548	+	0.962987i	$0.413126\pi$
$888$	−1.07227	+	0.516379i	−0.0359831	+	0.0173285i
$889$	−5.12154	−	22.4389i	−0.171771	−	0.752578i
$890$	2.19238	+	2.74916i	0.0734888	+	0.0921521i
$891$	−0.0256971	−	0.112586i	−0.000860885	−	0.00377178i
$892$	−41.2723	−	19.8757i	−1.38190	−	0.665487i
$893$	−20.2338	+	25.3724i	−0.677098	+	0.849054i
$894$	−17.0217	−	8.19720i	−0.569289	−	0.274155i
$895$	0.154880	+	0.194213i	0.00517706	+	0.00649182i
$896$	−67.0260			−2.23918
$897$	−3.29141			−0.109897
$898$	44.0336	+	55.2164i	1.46942	+	1.84260i
$899$	0.467640	−	0.225204i	0.0155967	−	0.00751097i
$900$	−6.51432	+	28.5411i	−0.217144	+	0.951370i
$901$	−2.63246	−	11.5335i	−0.0876998	−	0.384238i
$902$	73.0669			2.43286
$903$	−0.672854	+	26.5955i	−0.0223912	+	0.885042i
$904$	−14.6929			−0.488679
$905$	0.554176	+	2.42800i	0.0184214	+	0.0807096i
$906$	1.13930	−	4.99162i	0.0378508	−	0.165835i
$907$	48.9069	−	23.5523i	1.62393	−	0.782043i	0.623928	−	0.781482i	$-0.285536\pi$
$907$	48.9069	−	23.5523i	1.62393	−	0.782043i	1.00000		0.000560867i	$-0.000178529\pi$
$908$	26.6437	+	33.4101i	0.884202	+	1.10875i
$909$	−35.0128			−1.16130
$910$	−5.86276			−0.194349
$911$	−20.5750	−	25.8002i	−0.681679	−	0.854799i	0.313828	−	0.949480i	$-0.398388\pi$
$911$	−20.5750	−	25.8002i	−0.681679	−	0.854799i	−0.995508	+	0.0946810i	$0.969817\pi$
$912$	0.619684	+	0.298424i	0.0205198	+	0.00988180i
$913$	18.4913	−	23.1874i	0.611974	−	0.767391i
$914$	69.7905	+	33.6094i	2.30847	+	1.11170i
$915$	−0.125531	−	0.549985i	−0.00414991	−	0.0181820i
$916$	2.45608	+	3.07983i	0.0811513	+	0.101761i
$917$	15.6558	+	68.5924i	0.516999	+	2.26512i
$918$	−10.6696	+	5.13822i	−0.352150	+	0.169586i
$919$	20.4351	−	25.6248i	0.674092	−	0.845285i	−0.320703	−	0.947180i	$-0.603919\pi$
$919$	20.4351	−	25.6248i	0.674092	−	0.845285i	0.994795	+	0.101895i	$0.0324906\pi$
$920$	−0.119408	+	0.149733i	−0.00393676	+	0.00493655i
$921$	5.13608	−	22.5026i	0.169240	−	0.741487i
$922$	28.0426	−	13.5046i	0.923535	−	0.444751i
$923$	−33.0105	−	15.8970i	−1.08655	−	0.523257i
$924$	−7.71225	+	33.7896i	−0.253714	+	1.11160i
$925$	−0.458317	+	2.00802i	−0.0150694	+	0.0660232i
$926$	26.3287	+	12.6793i	0.865216	+	0.416666i
$927$	32.1137	−	15.4652i	1.05475	−	0.507942i
$928$	8.10637	−	35.5163i	0.266105	−	1.16588i
$929$	4.18516	−	5.24803i	0.137311	−	0.172182i	−0.708422	−	0.705789i	$-0.750592\pi$
$929$	4.18516	−	5.24803i	0.137311	−	0.172182i	0.845732	+	0.533607i	$0.179164\pi$
$930$	0.0162384	−	0.0203623i	0.000532478	−	0.000667706i
$931$	16.6665	−	8.02614i	0.546221	−	0.263046i
$932$	−11.6029	−	50.8357i	−0.380066	−	1.66518i
$933$	16.6790	+	20.9148i	0.546045	+	0.684719i
$934$	−1.25872	−	5.51480i	−0.0411865	−	0.180450i
$935$	0.305005	+	0.146882i	0.00997471	+	0.00480357i
$936$	16.7240	−	20.9712i	0.546640	−	0.685464i
$937$	−13.9666	−	6.72595i	−0.456268	−	0.219727i	0.191610	−	0.981471i	$-0.438629\pi$
$937$	−13.9666	−	6.72595i	−0.456268	−	0.219727i	−0.647878	+	0.761744i	$0.724343\pi$
$938$	32.8489	+	41.1912i	1.07255	+	1.34494i
$939$	−10.6560			−0.347747
$940$	5.11745			0.166913
$941$	−3.86225	−	4.84311i	−0.125906	−	0.157881i	0.714883	−	0.699244i	$-0.246480\pi$
$941$	−3.86225	−	4.84311i	−0.125906	−	0.157881i	−0.840789	+	0.541363i	$0.817908\pi$
$942$	−5.07636	+	2.44465i	−0.165397	+	0.0796509i
$943$	−1.50652	+	6.60050i	−0.0490591	+	0.214942i
$944$	−0.718852	−	3.14950i	−0.0233967	−	0.102507i
$945$	2.47757			0.0805953
$946$	−1.01425	+	40.0897i	−0.0329762	+	1.30343i
$947$	−8.70608			−0.282910			−0.141455	−	0.989945i	$-0.545178\pi$
$947$	−8.70608			−0.282910			−0.141455	+	0.989945i	$0.545178\pi$
$948$	10.9372	+	47.9189i	0.355223	+	1.55633i
$949$	13.7143	−	60.0863i	0.445185	−	1.95048i
$950$	−25.9520	+	12.4978i	−0.841995	+	0.405483i
$951$	−1.31647	−	1.65080i	−0.0426894	−	0.0535308i
$952$	10.1399			0.328635
$953$	−34.4657			−1.11645			−0.558227	−	0.829688i	$-0.688518\pi$
$953$	−34.4657			−1.11645			−0.558227	+	0.829688i	$0.688518\pi$
$954$	−31.0148	−	38.8913i	−1.00414	−	1.25915i
$955$	−1.61119	−	0.775907i	−0.0521368	−	0.0251078i
$956$	31.8377	−	39.9232i	1.02970	−	1.29121i
$957$	−15.9398	−	7.67622i	−0.515262	−	0.248137i
$958$	−0.308620	−	1.35215i	−0.00997106	−	0.0436861i
$959$	−24.5087	−	30.7330i	−0.791428	−	0.992420i
$960$	−0.391576	−	1.71561i	−0.0126381	−	0.0553709i
$961$	27.9236	−	13.4473i	0.900761	−	0.433783i
$962$	3.17271	−	3.97846i	0.102292	−	0.128271i
$963$	−3.62410	+	4.54447i	−0.116785	+	0.146444i
$964$	15.4265	−	67.5879i	0.496854	−	2.17686i
$965$	0.957224	−	0.460975i	0.0308141	−	0.0148393i
$966$	−4.71371	−	2.27001i	−0.151661	−	0.0730362i
$967$	4.12459	−	18.0710i	0.132638	−	0.581125i	−0.864303	−	0.502971i	$-0.832240\pi$
$967$	4.12459	−	18.0710i	0.132638	−	0.581125i	0.996941	−	0.0781538i	$-0.0249025\pi$
$968$	2.25568	−	9.88278i	0.0725003	−	0.317645i
$969$	−2.45610	−	1.18280i	−0.0789014	−	0.0379969i
$970$	−1.03674	+	0.499268i	−0.0332877	+	0.0160305i
$971$	−4.07018	+	17.8326i	−0.130618	+	0.572276i	0.866683	+	0.498859i	$0.166248\pi$
$971$	−4.07018	+	17.8326i	−0.130618	+	0.572276i	−0.997301	+	0.0734171i	$0.976610\pi$
$972$	−30.8507	+	38.6855i	−0.989536	+	1.24084i
$973$	5.45862	−	6.84490i	0.174995	−	0.219437i
$974$	21.8527	−	10.5237i	0.700207	−	0.337202i
$975$	6.44201	+	28.2243i	0.206309	+	0.903900i
$976$	0.656248	+	0.822909i	0.0210060	+	0.0263407i
$977$	−5.12737	−	22.4645i	−0.164039	−	0.718702i	−0.988304	−	0.152497i	$-0.951268\pi$
$977$	−5.12737	−	22.4645i	−0.164039	−	0.718702i	0.824265	−	0.566204i	$-0.191589\pi$
$978$	−18.3326	−	8.82851i	−0.586212	−	0.282305i
$979$	−20.5512	+	25.7703i	−0.656818	+	0.823624i
$980$	−2.62814	−	1.26565i	−0.0839530	−	0.0404296i
$981$	−19.4738	−	24.4193i	−0.621750	−	0.779649i
$982$	5.45750			0.174156
$983$	−32.3029			−1.03030			−0.515151	−	0.857099i	$-0.672264\pi$
$983$	−32.3029			−1.03030			−0.515151	+	0.857099i	$0.672264\pi$
$984$	21.4537	+	26.9020i	0.683917	+	0.857605i
$985$	−1.65023	+	0.794709i	−0.0525807	+	0.0253215i
$986$	−3.10572	+	13.6070i	−0.0989062	+	0.433336i
$987$	11.5366	+	50.5453i	0.367215	+	1.60887i
$988$	43.6826			1.38973
$989$	−3.60059	−	0.918207i	−0.114492	−	0.0291973i
$990$	1.42346			0.0452405
$991$	8.29090	+	36.3248i	0.263369	+	1.15390i	0.917570	+	0.397574i	$0.130148\pi$
$991$	8.29090	+	36.3248i	0.263369	+	1.15390i	−0.654201	+	0.756321i	$0.726995\pi$
$992$	−0.111863	+	0.490104i	−0.00355165	+	0.0155608i
$993$	−12.8925	+	6.20868i	−0.409130	+	0.197026i
$994$	−36.3114	−	45.5330i	−1.15173	−	1.44422i
$995$	3.15053			0.0998786
$996$	37.6604			1.19332
$997$	24.1288	+	30.2565i	0.764166	+	0.958233i	0.999908	−	0.0135823i	$-0.00432351\pi$
$997$	24.1288	+	30.2565i	0.764166	+	0.958233i	−0.235742	+	0.971816i	$0.575752\pi$
$998$	36.5251	+	17.5896i	1.15618	+	0.556788i
$999$	−1.34077	+	1.68127i	−0.0424201	+	0.0531932i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.188.5	yes	180
43.35	even	7	inner	731.2.k.a.35.5	✓	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.5	✓	180	43.35	even	7	inner
731.2.k.a.188.5	yes	180	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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.506396 - 2.21867i) q^{2} +(0.238867 - 1.04654i) q^{3} +(-2.86411 + 1.37928i) q^{4} +(0.0785430 + 0.0984899i) q^{5} -2.44289 q^{6} +3.77944 q^{7} +(1.67276 + 2.09757i) q^{8} +(1.66471 + 0.801683i) q^{9} +O(q^{10})\)	\(q+(-0.506396 - 2.21867i) q^{2} +(0.238867 - 1.04654i) q^{3} +(-2.86411 + 1.37928i) q^{4} +(0.0785430 + 0.0984899i) q^{5} -2.44289 q^{6} +3.77944 q^{7} +(1.67276 + 2.09757i) q^{8} +(1.66471 + 0.801683i) q^{9} +(0.178742 - 0.224136i) q^{10} +(2.42118 + 1.16598i) q^{11} +(0.759338 + 3.32688i) q^{12} +(-3.37369 - 4.23048i) q^{13} +(-1.91390 - 8.38533i) q^{14} +(0.121835 - 0.0586727i) q^{15} +(-0.157309 + 0.197259i) q^{16} +(0.623490 - 0.781831i) q^{17} +(0.935663 - 4.09941i) q^{18} +(2.28803 - 1.10186i) q^{19} +(-0.360801 - 0.173753i) q^{20} +(0.902783 - 3.95535i) q^{21} +(1.36084 - 5.96225i) q^{22} +(0.510542 + 0.245864i) q^{23} +(2.59477 - 1.24958i) q^{24} +(1.10907 - 4.85917i) q^{25} +(-7.67759 + 9.62740i) q^{26} +(3.24451 - 4.06848i) q^{27} +(-10.8247 + 5.21292i) q^{28} +(-1.36472 - 5.97921i) q^{29} +(-0.191872 - 0.240600i) q^{30} +(0.0188322 + 0.0825094i) q^{31} +(5.35173 + 2.57726i) q^{32} +(1.79859 - 2.25536i) q^{33} +(-2.05036 - 0.987400i) q^{34} +(0.296849 + 0.372237i) q^{35} -5.87366 q^{36} -0.413243 q^{37} +(-3.60331 - 4.51840i) q^{38} +(-5.23324 + 2.52020i) q^{39} +(-0.0752062 + 0.329500i) q^{40} +(2.65860 + 11.6481i) q^{41} -9.23277 q^{42} +(-6.42789 + 1.29701i) q^{43} -8.54275 q^{44} +(0.0517939 + 0.226924i) q^{45} +(0.286954 - 1.25723i) q^{46} +(-11.5134 + 5.54458i) q^{47} +(0.168864 + 0.211749i) q^{48} +7.28419 q^{49} -11.3425 q^{50} +(-0.669290 - 0.839263i) q^{51} +(15.4976 + 7.46327i) q^{52} +(7.37598 - 9.24918i) q^{53} +(-10.6696 - 5.13822i) q^{54} +(0.0753299 + 0.330042i) q^{55} +(6.32210 + 7.92767i) q^{56} +(-0.606608 - 2.65772i) q^{57} +(-12.5748 + 6.05570i) q^{58} +(-7.98316 + 10.0106i) q^{59} +(-0.268023 + 0.336090i) q^{60} +(0.928296 - 4.06713i) q^{61} +(0.173524 - 0.0835649i) q^{62} +(6.29168 + 3.02991i) q^{63} +(2.89569 - 12.6869i) q^{64} +(0.151679 - 0.664549i) q^{65} +(-5.91469 - 2.84837i) q^{66} +(-5.51891 + 2.65777i) q^{67} +(-0.707376 + 3.09922i) q^{68} +(0.379259 - 0.475575i) q^{69} +(0.675546 - 0.847108i) q^{70} +(6.10065 - 2.93792i) q^{71} +(1.10307 + 4.83288i) q^{72} +(7.10159 + 8.90512i) q^{73} +(0.209265 + 0.916849i) q^{74} +(-4.82041 - 2.32139i) q^{75} +(-5.03340 + 6.31168i) q^{76} +(9.15073 + 4.40676i) q^{77} +(8.24157 + 10.3346i) q^{78} +14.4036 q^{79} -0.0317835 q^{80} +(-0.0267932 - 0.0335976i) q^{81} +(24.4970 - 11.7971i) q^{82} +(2.45579 - 10.7595i) q^{83} +(2.86988 + 12.5737i) q^{84} +0.125973 q^{85} +(6.13270 + 13.6045i) q^{86} -6.58349 q^{87} +(1.60433 + 7.02902i) q^{88} +(-2.72935 + 11.9581i) q^{89} +(0.477240 - 0.229827i) q^{90} +(-12.7507 - 15.9888i) q^{91} -1.80136 q^{92} +0.0908481 q^{93} +(18.1320 + 22.7368i) q^{94} +(0.288231 + 0.138805i) q^{95} +(3.97556 - 4.98520i) q^{96} +(-3.61636 - 1.74155i) q^{97} +(-3.68869 - 16.1612i) q^{98} +(3.09583 + 3.88204i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Introduction

L-functions

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