LMFDB - Embedded newform 805.2.bb.b.76.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [805,2,Mod(76,805)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(805, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 11, 19]))

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

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

chi := DirichletCharacter("805.76");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 805 = 5 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	805.bb (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.42795736271$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$32$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			76.19
Character	$\chi$	$=$	805.76
Dual form			805.2.bb.b.286.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.353457 - 0.407911i) q^{2} +(0.273369 + 0.425370i) q^{3} +(0.243170 + 1.69128i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.270137 + 0.0388399i) q^{6} +(2.52204 + 0.799578i) q^{7} +(1.68397 + 1.08222i) q^{8} +(1.14004 - 2.49633i) q^{9} +O(q^{10})$	\(q+(0.353457 - 0.407911i) q^{2} +(0.273369 + 0.425370i) q^{3} +(0.243170 + 1.69128i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.270137 + 0.0388399i) q^{6} +(2.52204 + 0.799578i) q^{7} +(1.68397 + 1.08222i) q^{8} +(1.14004 - 2.49633i) q^{9} +(-0.517881 - 0.152063i) q^{10} +(1.06851 - 0.925867i) q^{11} +(-0.652946 + 0.565781i) q^{12} +(0.786602 - 2.67892i) q^{13} +(1.21759 - 0.746151i) q^{14} +(0.273369 - 0.425370i) q^{15} +(-2.24227 + 0.658389i) q^{16} +(0.00955973 - 0.0664893i) q^{17} +(-0.615328 - 1.34738i) q^{18} +(-0.229586 - 1.59681i) q^{19} +(1.43743 - 0.923780i) q^{20} +(0.349330 + 1.29138i) q^{21} -0.763111i q^{22} +(3.22008 + 3.55402i) q^{23} +1.01215i q^{24} +(-0.654861 + 0.755750i) q^{25} +(-0.814732 - 1.26775i) q^{26} +(2.87499 - 0.413361i) q^{27} +(-0.739030 + 4.45992i) q^{28} +(-1.11173 + 7.73222i) q^{29} +(-0.0768891 - 0.261860i) q^{30} +(-0.0132775 + 0.0206602i) q^{31} +(-2.18708 + 4.78904i) q^{32} +(0.685932 + 0.201408i) q^{33} +(-0.0237428 - 0.0274007i) q^{34} +(-0.320371 - 2.62628i) q^{35} +(4.49923 + 1.32109i) q^{36} +(1.18574 + 0.541509i) q^{37} +(-0.732505 - 0.470752i) q^{38} +(1.35456 - 0.397736i) q^{39} +(0.284877 - 1.98136i) q^{40} +(6.34518 - 2.89775i) q^{41} +(0.650241 + 0.313951i) q^{42} +(-2.03187 - 3.16165i) q^{43} +(1.82573 + 1.58201i) q^{44} -2.74433 q^{45} +(2.58789 - 0.0573112i) q^{46} -8.55825i q^{47} +(-0.893024 - 0.773809i) q^{48} +(5.72135 + 4.03313i) q^{49} +(0.0768136 + 0.534250i) q^{50} +(0.0308959 - 0.0141097i) q^{51} +(4.72209 + 0.678935i) q^{52} +(3.06276 + 10.4308i) q^{53} +(0.847571 - 1.31885i) q^{54} +(-1.28607 - 0.587330i) q^{55} +(3.38171 + 4.07586i) q^{56} +(0.616472 - 0.534176i) q^{57} +(2.76111 + 3.18649i) q^{58} +(-3.10474 + 10.5738i) q^{59} +(0.785896 + 0.358907i) q^{60} +(-2.92607 - 1.88047i) q^{61} +(0.00373451 + 0.0127186i) q^{62} +(4.87122 - 5.38429i) q^{63} +(-0.761125 - 1.66663i) q^{64} +(-2.76360 + 0.397345i) q^{65} +(0.324604 - 0.208611i) q^{66} +(-6.90915 - 5.98682i) q^{67} +0.114777 q^{68} +(-0.631506 + 2.34128i) q^{69} +(-1.18453 - 0.797596i) q^{70} +(7.35336 - 8.48622i) q^{71} +(4.62136 - 2.96997i) q^{72} +(-13.8787 + 1.99546i) q^{73} +(0.639996 - 0.292276i) q^{74} +(-0.500491 - 0.0719598i) q^{75} +(2.64483 - 0.776591i) q^{76} +(3.43512 - 1.48072i) q^{77} +(0.316539 - 0.693125i) q^{78} +(1.44795 - 4.93126i) q^{79} +(1.53036 + 1.76613i) q^{80} +(-4.42970 - 5.11215i) q^{81} +(1.06073 - 3.61250i) q^{82} +(-2.98473 + 6.53565i) q^{83} +(-2.09914 + 0.904840i) q^{84} +(-0.0644521 + 0.0189248i) q^{85} +(-2.00785 - 0.288685i) q^{86} +(-3.59296 + 1.64085i) q^{87} +(2.80132 - 0.402770i) q^{88} +(-12.8622 + 8.26604i) q^{89} +(-0.970003 + 1.11944i) q^{90} +(4.12585 - 6.12739i) q^{91} +(-5.22784 + 6.31030i) q^{92} -0.0124179 q^{93} +(-3.49101 - 3.02498i) q^{94} +(-1.35713 + 0.872177i) q^{95} +(-2.63499 + 0.378855i) q^{96} +(-4.74696 - 10.3944i) q^{97} +(3.66741 - 0.908264i) q^{98} +(-1.09313 - 3.72287i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q + 2 q^{2} - 34 q^{4} + 32 q^{5} + 3 q^{7} + 6 q^{8} + 28 q^{9}+O(q^{10}) $ 320 * q + 2 * q^2 - 34 * q^4 + 32 * q^5 + 3 * q^7 + 6 * q^8 + 28 * q^9	$ 320 q + 2 q^{2} - 34 q^{4} + 32 q^{5} + 3 q^{7} + 6 q^{8} + 28 q^{9} - 2 q^{10} - 6 q^{14} - 24 q^{16} + 2 q^{17} + 6 q^{18} - 8 q^{19} + 34 q^{20} - 17 q^{21} - 8 q^{23} - 32 q^{25} + 10 q^{28} + 6 q^{29} + 12 q^{32} + 20 q^{33} + 16 q^{34} + 8 q^{35} + 15 q^{36} + 58 q^{38} - 24 q^{39} + 16 q^{40} + 44 q^{41} + 50 q^{42} - 44 q^{43} - 11 q^{44} + 324 q^{45} + 16 q^{46} - 176 q^{48} - q^{49} - 9 q^{50} - 44 q^{51} - 154 q^{54} + 125 q^{56} - 123 q^{58} - 8 q^{61} + 120 q^{63} - 62 q^{64} - 112 q^{66} - 48 q^{68} + 12 q^{69} + 6 q^{70} - 10 q^{71} - 218 q^{72} + 11 q^{74} - 212 q^{76} - 96 q^{77} - 200 q^{78} - 44 q^{79} + 46 q^{80} - 72 q^{81} + 22 q^{83} - 100 q^{84} - 2 q^{85} - 22 q^{86} + 165 q^{88} + 12 q^{89} - 6 q^{90} + 92 q^{91} - 258 q^{92} - 44 q^{93} + 484 q^{94} + 8 q^{95} - 12 q^{97} + 7 q^{98} - 264 q^{99}+O(q^{100}) $ 320 * q + 2 * q^2 - 34 * q^4 + 32 * q^5 + 3 * q^7 + 6 * q^8 + 28 * q^9 - 2 * q^10 - 6 * q^14 - 24 * q^16 + 2 * q^17 + 6 * q^18 - 8 * q^19 + 34 * q^20 - 17 * q^21 - 8 * q^23 - 32 * q^25 + 10 * q^28 + 6 * q^29 + 12 * q^32 + 20 * q^33 + 16 * q^34 + 8 * q^35 + 15 * q^36 + 58 * q^38 - 24 * q^39 + 16 * q^40 + 44 * q^41 + 50 * q^42 - 44 * q^43 - 11 * q^44 + 324 * q^45 + 16 * q^46 - 176 * q^48 - q^49 - 9 * q^50 - 44 * q^51 - 154 * q^54 + 125 * q^56 - 123 * q^58 - 8 * q^61 + 120 * q^63 - 62 * q^64 - 112 * q^66 - 48 * q^68 + 12 * q^69 + 6 * q^70 - 10 * q^71 - 218 * q^72 + 11 * q^74 - 212 * q^76 - 96 * q^77 - 200 * q^78 - 44 * q^79 + 46 * q^80 - 72 * q^81 + 22 * q^83 - 100 * q^84 - 2 * q^85 - 22 * q^86 + 165 * q^88 + 12 * q^89 - 6 * q^90 + 92 * q^91 - 258 * q^92 - 44 * q^93 + 484 * q^94 + 8 * q^95 - 12 * q^97 + 7 * q^98 - 264 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$162$	$281$	$346$
$\chi(n)$	$1$	$e\left(\frac{19}{22}\right)$	$-1$

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 $

$2$	0.353457	−	0.407911i	0.249932	−	0.288437i	−0.616895	−	0.787045i	$-0.711610\pi$
$2$	0.353457	−	0.407911i	0.249932	−	0.288437i	0.866827	+	0.498608i	$0.166155\pi$
$3$	0.273369	+	0.425370i	0.157829	+	0.245587i	0.911158	−	0.412057i	$-0.135189\pi$
$3$	0.273369	+	0.425370i	0.157829	+	0.245587i	−0.753329	+	0.657644i	$0.771553\pi$
$4$	0.243170	+	1.69128i	0.121585	+	0.845642i
$5$	−0.415415	−	0.909632i	−0.185779	−	0.406800i
$5$	−0.415415	−	0.909632i	−0.185779	−	0.406800i
$6$	0.270137	+	0.0388399i	0.110283	+	0.0158563i
$7$	2.52204	+	0.799578i	0.953241	+	0.302212i
$7$	2.52204	+	0.799578i	0.953241	+	0.302212i
$8$	1.68397	+	1.08222i	0.595372	+	0.382623i
$9$	1.14004	−	2.49633i	0.380012	−	0.832110i
$10$	−0.517881	−	0.152063i	−0.163768	−	0.0480867i
$11$	1.06851	−	0.925867i	0.322167	−	0.279159i	−0.478729	−	0.877963i	$-0.658902\pi$
$11$	1.06851	−	0.925867i	0.322167	−	0.279159i	0.800896	+	0.598803i	$0.204357\pi$
$12$	−0.652946	+	0.565781i	−0.188489	+	0.163327i
$13$	0.786602	−	2.67892i	0.218164	−	0.742999i	−0.775573	−	0.631258i	$-0.782539\pi$
$13$	0.786602	−	2.67892i	0.218164	−	0.742999i	0.993737	−	0.111741i	$-0.0356427\pi$
$14$	1.21759	−	0.746151i	0.325414	−	0.199417i
$15$	0.273369	−	0.425370i	0.0705835	−	0.109830i
$16$	−2.24227	+	0.658389i	−0.560566	+	0.164597i
$17$	0.00955973	−	0.0664893i	0.00231857	−	0.0161260i	−0.988629	−	0.150373i	$-0.951952\pi$
$17$	0.00955973	−	0.0664893i	0.00231857	−	0.0161260i	0.990948	+	0.134247i	$0.0428616\pi$
$18$	−0.615328	−	1.34738i	−0.145034	−	0.317580i
$19$	−0.229586	−	1.59681i	−0.0526707	−	0.366333i	−0.999062	−	0.0433095i	$-0.986210\pi$
$19$	−0.229586	−	1.59681i	−0.0526707	−	0.366333i	0.946391	−	0.323023i	$-0.104699\pi$
$20$	1.43743	−	0.923780i	0.321419	−	0.206564i
$21$	0.349330	+	1.29138i	0.0762300	+	0.281802i
$22$		−	0.763111i		−	0.162696i
$23$	3.22008	+	3.55402i	0.671433	+	0.741065i
$23$	3.22008	+	3.55402i	0.671433	+	0.741065i
$24$			1.01215i			0.206605i
$25$	−0.654861	+	0.755750i	−0.130972	+	0.151150i
$26$	−0.814732	−	1.26775i	−0.159782	−	0.248626i
$27$	2.87499	−	0.413361i	0.553292	−	0.0795513i
$28$	−0.739030	+	4.45992i	−0.139664	+	0.842845i
$29$	−1.11173	+	7.73222i	−0.206442	+	1.43584i	0.578203	+	0.815893i	$0.303754\pi$
$29$	−1.11173	+	7.73222i	−0.206442	+	1.43584i	−0.784646	+	0.619945i	$0.787155\pi$
$30$	−0.0768891	−	0.261860i	−0.0140380	−	0.0478089i
$31$	−0.0132775	+	0.0206602i	−0.00238472	+	0.00371069i	−0.842444	−	0.538784i	$-0.818884\pi$
$31$	−0.0132775	+	0.0206602i	−0.00238472	+	0.00371069i	0.840059	+	0.542495i	$0.182520\pi$
$32$	−2.18708	+	4.78904i	−0.386625	+	0.846591i
$33$	0.685932	+	0.201408i	0.119405	+	0.0350606i
$34$	−0.0237428	−	0.0274007i	−0.00407186	−	0.00469917i
$35$	−0.320371	−	2.62628i	−0.0541525	−	0.443923i
$36$	4.49923	+	1.32109i	0.749871	+	0.220182i
$37$	1.18574	+	0.541509i	0.194934	+	0.0890236i	0.510491	−	0.859883i	$-0.329464\pi$
$37$	1.18574	+	0.541509i	0.194934	+	0.0890236i	−0.315556	+	0.948907i	$0.602191\pi$
$38$	−0.732505	−	0.470752i	−0.118828	−	0.0763661i
$39$	1.35456	−	0.397736i	0.216904	−	0.0636887i
$40$	0.284877	−	1.98136i	0.0450430	−	0.313281i
$41$	6.34518	−	2.89775i	0.990951	−	0.452552i	0.147095	−	0.989122i	$-0.453008\pi$
$41$	6.34518	−	2.89775i	0.990951	−	0.452552i	0.843856	+	0.536570i	$0.180280\pi$
$42$	0.650241	+	0.313951i	0.100334	+	0.0484438i
$43$	−2.03187	−	3.16165i	−0.309857	−	0.482147i	0.651044	−	0.759040i	$-0.274331\pi$
$43$	−2.03187	−	3.16165i	−0.309857	−	0.482147i	−0.960901	+	0.276893i	$0.910695\pi$
$44$	1.82573	+	1.58201i	0.275240	+	0.238497i
$45$	−2.74433			−0.409101
$46$	2.58789	−	0.0573112i	0.381563	−	0.00845008i
$47$		−	8.55825i		−	1.24835i	−0.781285	−	0.624175i	$-0.785435\pi$
$47$		−	8.55825i		−	1.24835i	0.781285	−	0.624175i	$-0.214565\pi$
$48$	−0.893024	−	0.773809i	−0.128897	−	0.111690i
$49$	5.72135	+	4.03313i	0.817336	+	0.576162i
$50$	0.0768136	+	0.534250i	0.0108631	+	0.0755544i
$51$	0.0308959	−	0.0141097i	0.00432629	−	0.00197575i
$52$	4.72209	+	0.678935i	0.654837	+	0.0941513i
$53$	3.06276	+	10.4308i	0.420702	+	1.43278i	0.848640	+	0.528971i	$0.177422\pi$
$53$	3.06276	+	10.4308i	0.420702	+	1.43278i	−0.427938	+	0.903808i	$0.640760\pi$
$54$	0.847571	−	1.31885i	0.115340	−	0.179472i
$55$	−1.28607	−	0.587330i	−0.173414	−	0.0791955i
$56$	3.38171	+	4.07586i	0.451900	+	0.544660i
$57$	0.616472	−	0.534176i	0.0816537	−	0.0707534i
$58$	2.76111	+	3.18649i	0.362552	+	0.418407i
$59$	−3.10474	+	10.5738i	−0.404203	+	1.37659i	0.466389	+	0.884580i	$0.345555\pi$
$59$	−3.10474	+	10.5738i	−0.404203	+	1.37659i	−0.870591	+	0.492007i	$0.836263\pi$
$60$	0.785896	+	0.358907i	0.101459	+	0.0463347i
$61$	−2.92607	−	1.88047i	−0.374645	−	0.240769i	0.339745	−	0.940518i	$-0.389659\pi$
$61$	−2.92607	−	1.88047i	−0.374645	−	0.240769i	−0.714390	+	0.699748i	$0.753296\pi$
$62$	0.00373451	+	0.0127186i	0.000474283	+	0.00161526i
$63$	4.87122	−	5.38429i	0.613717	−	0.678357i
$64$	−0.761125	−	1.66663i	−0.0951406	−	0.208329i
$65$	−2.76360	+	0.397345i	−0.342782	+	0.0492846i
$66$	0.324604	−	0.208611i	0.0399560	−	0.0256782i
$67$	−6.90915	−	5.98682i	−0.844087	−	0.731406i	0.121191	−	0.992629i	$-0.461329\pi$
$67$	−6.90915	−	5.98682i	−0.844087	−	0.731406i	−0.965278	+	0.261223i	$0.915874\pi$
$68$	0.114777			0.0139188
$69$	−0.631506	+	2.34128i	−0.0760244	+	0.281857i
$70$	−1.18453	−	0.797596i	−0.141578	−	0.0953309i
$71$	7.35336	−	8.48622i	0.872683	−	1.00713i	−0.127201	−	0.991877i	$-0.540599\pi$
$71$	7.35336	−	8.48622i	0.872683	−	1.00713i	0.999884	−	0.0152525i	$-0.00485523\pi$
$72$	4.62136	−	2.96997i	0.544633	−	0.350014i
$73$	−13.8787	+	1.99546i	−1.62438	+	0.233551i	−0.893537	−	0.448990i	$-0.851784\pi$
$73$	−13.8787	+	1.99546i	−1.62438	+	0.233551i	−0.730847	+	0.682541i	$0.760875\pi$
$74$	0.639996	−	0.292276i	0.0743980	−	0.0339764i
$75$	−0.500491	−	0.0719598i	−0.0577918	−	0.00830920i
$76$	2.64483	−	0.776591i	0.303383	−	0.0890811i
$77$	3.43512	−	1.48072i	0.391468	−	0.168743i
$78$	0.316539	−	0.693125i	0.0358410	−	0.0784809i
$79$	1.44795	−	4.93126i	0.162907	−	0.554811i	−0.837063	−	0.547106i	$-0.815729\pi$
$79$	1.44795	−	4.93126i	0.162907	−	0.554811i	0.999970	−	0.00770445i	$-0.00245243\pi$
$80$	1.53036	+	1.76613i	0.171100	+	0.197460i
$81$	−4.42970	−	5.11215i	−0.492189	−	0.568016i
$82$	1.06073	−	3.61250i	0.117138	−	0.398934i
$83$	−2.98473	+	6.53565i	−0.327617	+	0.717380i	−0.999734	−	0.0230644i	$-0.992658\pi$
$83$	−2.98473	+	6.53565i	−0.327617	+	0.717380i	0.672117	+	0.740445i	$0.265385\pi$
$84$	−2.09914	+	0.904840i	−0.229035	+	0.0987262i
$85$	−0.0644521	+	0.0189248i	−0.00699081	+	0.00205269i
$86$	−2.00785	−	0.288685i	−0.216512	−	0.0311297i
$87$	−3.59296	+	1.64085i	−0.385206	+	0.175918i
$88$	2.80132	−	0.402770i	0.298622	−	0.0429354i
$89$	−12.8622	+	8.26604i	−1.36339	+	0.876198i	−0.998495	−	0.0548498i	$-0.982532\pi$
$89$	−12.8622	+	8.26604i	−1.36339	+	0.876198i	−0.364897	+	0.931048i	$0.618896\pi$
$90$	−0.970003	+	1.11944i	−0.102247	+	0.118000i
$91$	4.12585	−	6.12739i	0.432506	−	0.642325i
$92$	−5.22784	+	6.31030i	−0.545040	+	0.657894i
$93$	−0.0124179			−0.00128768
$94$	−3.49101	−	3.02498i	−0.360070	−	0.312003i
$95$	−1.35713	+	0.872177i	−0.139239	+	0.0894835i
$96$	−2.63499	+	0.378855i	−0.268933	+	0.0386667i
$97$	−4.74696	−	10.3944i	−0.481980	−	1.05539i	−0.981914	−	0.189326i	$-0.939370\pi$
$97$	−4.74696	−	10.3944i	−0.481980	−	1.05539i	0.499934	−	0.866064i	$-0.333358\pi$
$98$	3.66741	−	0.908264i	0.370465	−	0.0917485i
$99$	−1.09313	−	3.72287i	−0.109864	−	0.374163i
$100$	−1.43743	−	0.923780i	−0.143743	−	0.0923780i
$101$	12.5014	+	5.70920i	1.24394	+	0.568087i	0.925100	−	0.379723i	$-0.123981\pi$
$101$	12.5014	+	5.70920i	1.24394	+	0.568087i	0.318836	+	0.947810i	$0.396708\pi$
$102$	0.00516488	−	0.0175900i	0.000511399	−	0.00174166i
$103$	−7.36607	−	8.50090i	−0.725801	−	0.837619i	0.266191	−	0.963920i	$-0.414235\pi$
$103$	−7.36607	−	8.50090i	−0.725801	−	0.837619i	−0.991992	+	0.126302i	$0.959689\pi$
$104$	4.22379	−	3.65994i	0.414177	−	0.358886i
$105$	1.02956	−	0.854219i	0.100475	−	0.0833633i
$106$	5.33739	+	2.43750i	0.518413	+	0.236751i
$107$	−3.16536	+	4.92540i	−0.306007	+	0.476157i	−0.959866	−	0.280460i	$-0.909513\pi$
$107$	−3.16536	+	4.92540i	−0.306007	+	0.476157i	0.653858	+	0.756617i	$0.273149\pi$
$108$	1.39822	+	4.76191i	0.134544	+	0.458215i
$109$	9.45287	+	1.35912i	0.905421	+	0.130180i	0.579268	−	0.815137i	$-0.303338\pi$
$109$	9.45287	+	1.35912i	0.905421	+	0.130180i	0.326153	+	0.945317i	$0.394248\pi$
$110$	−0.694150	+	0.317008i	−0.0661846	+	0.0302255i
$111$	0.0938024	+	0.652410i	0.00890333	+	0.0619240i
$112$	−6.18151	−	0.132385i	−0.584098	−	0.0125092i
$113$	−2.08975	−	1.81078i	−0.196587	−	0.170344i	0.551005	−	0.834502i	$-0.314245\pi$
$113$	−2.08975	−	1.81078i	−0.196587	−	0.170344i	−0.747592	+	0.664158i	$0.768790\pi$
$114$		−	0.440274i		−	0.0412355i
$115$	1.89519	−	4.40548i	0.176727	−	0.410813i
$116$	−13.3477			−1.23930
$117$	−5.79072	−	5.01768i	−0.535352	−	0.463885i
$118$	3.21577	+	5.00383i	0.296035	+	0.460640i
$119$	0.0772734	−	0.160045i	0.00708364	−	0.0146713i
$120$	0.920688	−	0.420464i	0.0840469	−	0.0383829i
$121$	−1.28098	+	8.90944i	−0.116453	+	0.809949i
$122$	−1.80130	+	0.528911i	−0.163082	+	0.0478853i
$123$	2.96719	+	1.90689i	0.267542	+	0.171939i
$124$	−0.0381711	−	0.0174321i	−0.00342786	−	0.00156545i
$125$	0.959493	+	0.281733i	0.0858197	+	0.0251989i
$126$	−0.474545	−	3.89014i	−0.0422758	−	0.346562i
$127$	−9.80750	−	11.3185i	−0.870275	−	1.00435i	−0.999918	−	0.0127901i	$-0.995929\pi$
$127$	−9.80750	−	11.3185i	−0.870275	−	1.00435i	0.129643	−	0.991561i	$-0.458617\pi$
$128$	−11.0520	−	3.24515i	−0.976865	−	0.286833i
$129$	0.789421	−	1.72859i	0.0695046	−	0.152194i
$130$	−0.814732	+	1.26775i	−0.0714567	+	0.111189i
$131$	−1.21989	−	4.15455i	−0.106582	−	0.362985i	0.888881	−	0.458139i	$-0.151484\pi$
$131$	−1.21989	−	4.15455i	−0.106582	−	0.362985i	−0.995463	+	0.0951541i	$0.969666\pi$
$132$	−0.173840	+	1.20908i	−0.0151308	+	0.105237i
$133$	0.697747	−	4.21078i	0.0605023	−	0.365121i
$134$	−4.88418	+	0.702239i	−0.421929	+	0.0606642i
$135$	−1.57032	−	2.44346i	−0.135152	−	0.210300i
$136$	0.0880544	−	0.101620i	0.00755060	−	0.00871386i
$137$		−	2.50143i		−	0.213712i	−0.994275	−	0.106856i	$-0.965922\pi$
$137$		−	2.50143i		−	0.213712i	0.994275	−	0.106856i	$-0.0340783\pi$
$138$	0.731825	+	1.08514i	0.0622971	+	0.0923734i
$139$			20.4545i			1.73493i	0.497500	+	0.867464i	$0.334251\pi$
$139$			20.4545i			1.73493i	−0.497500	+	0.867464i	$0.665749\pi$
$140$	4.36389	−	1.18047i	0.368816	−	0.0997680i
$141$	3.64042	−	2.33956i	0.306579	−	0.197026i
$142$	−0.862531	−	5.99903i	−0.0723820	−	0.503428i
$143$	−1.63983	−	3.59074i	−0.137130	−	0.300272i
$144$	−0.912708	+	6.34802i	−0.0760590	+	0.529002i
$145$	7.49530	−	2.20082i	0.622451	−	0.182768i
$146$	−4.09157	+	6.36661i	−0.338621	+	0.526904i
$147$	−0.151535	+	3.53622i	−0.0124984	+	0.291663i
$148$	−0.627510	+	2.13710i	−0.0515810	+	0.175669i
$149$	15.7754	−	13.6695i	1.29237	−	1.11985i	0.306588	−	0.951842i	$-0.400813\pi$
$149$	15.7754	−	13.6695i	1.29237	−	1.11985i	0.985786	−	0.168006i	$-0.0537328\pi$
$150$	−0.206255	+	0.178721i	−0.0168407	+	0.0145925i
$151$	−18.4384	−	5.41402i	−1.50050	−	0.440586i	−0.574625	−	0.818417i	$-0.694852\pi$
$151$	−18.4384	−	5.41402i	−1.50050	−	0.440586i	−0.925875	+	0.377830i	$0.876670\pi$
$152$	1.34148	−	2.93744i	0.108809	−	0.238257i
$153$	−0.155081	−	0.0996645i	−0.0125376	−	0.00805740i
$154$	0.610167	−	1.92459i	0.0491686	−	0.155088i
$155$	0.0243089	+	0.00349509i	0.00195254	+	0.000280733i
$156$	1.00207	+	2.19424i	0.0802301	+	0.175679i
$157$	−2.49705	−	17.3674i	−0.199286	−	1.38607i	−0.806362	−	0.591423i	$-0.798567\pi$
$157$	−2.49705	−	17.3674i	−0.199286	−	1.38607i	0.607076	−	0.794644i	$-0.292343\pi$
$158$	−1.49973	−	2.33363i	−0.119312	−	0.185653i
$159$	−3.59968	+	4.15425i	−0.285473	+	0.329454i
$160$	5.26481			0.416220
$161$	5.27944	+	11.5381i	0.416078	+	0.909329i
$162$	−3.65101			−0.286851
$163$	7.08905	−	8.18120i	0.555257	−	0.640801i	−0.406843	−	0.913498i	$-0.633370\pi$
$163$	7.08905	−	8.18120i	0.555257	−	0.640801i	0.962100	+	0.272697i	$0.0879157\pi$
$164$	6.44387	+	10.0269i	0.503182	+	0.782966i
$165$	−0.101740	−	0.707614i	−0.00792041	−	0.0550877i
$166$	1.61099	+	3.52758i	0.125037	+	0.273793i
$167$	2.08550	+	0.299850i	0.161381	+	0.0232031i	0.222532	−	0.974925i	$-0.428568\pi$
$167$	2.08550	+	0.299850i	0.161381	+	0.0232031i	−0.0611506	+	0.998129i	$0.519477\pi$
$168$	−0.809296	+	2.55269i	−0.0624385	+	0.196944i
$169$	4.37843	+	2.81384i	0.336802	+	0.216450i
$170$	−0.0150614	+	0.0329799i	−0.00115516	+	0.00252944i
$171$	−4.24790	−	1.24729i	−0.324845	−	0.0953830i
$172$	4.85316	−	4.20528i	0.370050	−	0.320650i
$173$	−6.44933	+	5.58838i	−0.490334	+	0.424877i	−0.864612	−	0.502440i	$-0.832436\pi$
$173$	−6.44933	+	5.58838i	−0.490334	+	0.424877i	0.374278	+	0.927316i	$0.377890\pi$
$174$	−0.600637	+	2.04558i	−0.0455342	+	0.155075i
$175$	−2.25586	+	1.38242i	−0.170527	+	0.104501i
$176$	−1.78630	+	2.77953i	−0.134647	+	0.209515i
$177$	−5.34650	+	1.56987i	−0.401868	+	0.117999i
$178$	−1.17443	+	8.16833i	−0.0880271	+	0.612242i
$179$	−1.46665	−	3.21151i	−0.109622	−	0.240039i	0.846868	−	0.531803i	$-0.178485\pi$
$179$	−1.46665	−	3.21151i	−0.109622	−	0.240039i	−0.956490	+	0.291764i	$0.905758\pi$
$180$	−0.667339	−	4.64144i	−0.0497405	−	0.345953i
$181$	−9.37427	+	6.02448i	−0.696784	+	0.447796i	−0.840492	−	0.541824i	$-0.817734\pi$
$181$	−9.37427	+	6.02448i	−0.696784	+	0.447796i	0.143708	+	0.989620i	$0.454098\pi$
$182$	−1.04112	−	3.84875i	−0.0771731	−	0.285288i
$183$		−	1.75872i		−	0.130008i
$184$	1.57627	+	9.46970i	0.116204	+	0.698115i
$185$		−	1.30354i		−	0.0958380i
$186$	−0.00438920	+	0.00506540i	−0.000321832	+	0.000371413i
$187$	−0.0513457	−	0.0798954i	−0.00375477	−	0.00584253i
$188$	14.4744	−	2.08111i	1.05566	−	0.151781i
$189$	7.58134	+	1.25627i	0.551462	+	0.0913798i
$190$	−0.123918	+	0.861867i	−0.00898994	+	0.0625264i
$191$	−0.463051	−	1.57701i	−0.0335052	−	0.114108i	0.941043	−	0.338288i	$-0.109848\pi$
$191$	−0.463051	−	1.57701i	−0.0335052	−	0.114108i	−0.974548	+	0.224180i	$0.928030\pi$
$192$	0.500867	−	0.779364i	0.0361469	−	0.0562457i
$193$	2.57341	−	5.63497i	0.185238	−	0.405614i	−0.794117	−	0.607766i	$-0.792066\pi$
$193$	2.57341	−	5.63497i	0.185238	−	0.405614i	0.979354	+	0.202151i	$0.0647933\pi$
$194$	−5.91783	−	1.73763i	−0.424876	−	0.124755i
$195$	−0.924499	−	1.06693i	−0.0662048	−	0.0764044i
$196$	−5.42991	+	10.6572i	−0.387851	+	0.761226i
$197$	−14.9671	−	4.39473i	−1.06636	−	0.313111i	−0.298950	−	0.954269i	$-0.596636\pi$
$197$	−14.9671	−	4.39473i	−1.06636	−	0.313111i	−0.767410	+	0.641157i	$0.778455\pi$
$198$	−1.90498	−	0.869974i	−0.135381	−	0.0618263i
$199$	−9.90895	−	6.36810i	−0.702427	−	0.451422i	0.140057	−	0.990143i	$-0.455271\pi$
$199$	−9.90895	−	6.36810i	−0.702427	−	0.451422i	−0.842484	+	0.538721i	$0.818908\pi$
$200$	−1.92065	+	0.563954i	−0.135811	+	0.0398776i
$201$	0.657865	−	4.57555i	0.0464022	−	0.322735i
$202$	6.74756	−	3.08151i	0.474757	−	0.216814i
$203$	−8.98633	+	18.6120i	−0.630716	+	1.30631i
$204$	0.0313764	+	0.0488227i	0.00219679	+	0.00341827i
$205$	−5.27177	−	4.56801i	−0.368196	−	0.319044i
$206$	−6.07120			−0.423001
$207$	12.5430	−	3.98667i	0.871801	−	0.277092i
$208$			6.52474i			0.452409i
$209$	−1.72375	−	1.49363i	−0.119234	−	0.103317i
$210$	0.0154604	−	0.721900i	0.00106687	−	0.0498158i
$211$	−0.150847	−	1.04916i	−0.0103847	−	0.0722272i	0.983970	−	0.178334i	$-0.0570706\pi$
$211$	−0.150847	−	1.04916i	−0.0103847	−	0.0722272i	−0.994355	+	0.106106i	$0.966162\pi$
$212$	−16.8967	+	7.71645i	−1.16047	+	0.529968i
$213$	5.61996	+	0.808028i	0.385073	+	0.0553652i
$214$	0.890307	+	3.03211i	0.0608601	+	0.207271i
$215$	−2.03187	+	3.16165i	−0.138572	+	0.215623i
$216$	5.28873	+	2.41528i	0.359853	+	0.164339i
$217$	−0.0500059	+	0.0414895i	−0.00339462	+	0.00281649i
$218$	3.89559	−	3.37554i	0.263842	−	0.228621i
$219$	−4.64282	−	5.35810i	−0.313733	−	0.362067i
$220$	0.680607	−	2.31794i	0.0458865	−	0.156275i
$221$	−0.170600	−	0.0779104i	−0.0114758	−	0.00524082i
$222$	0.299280	+	0.192336i	0.0200864	+	0.0129087i
$223$	5.82962	+	19.8539i	0.390380	+	1.32951i	0.887090	+	0.461596i	$0.152723\pi$
$223$	5.82962	+	19.8539i	0.390380	+	1.32951i	−0.496710	+	0.867916i	$0.665459\pi$
$224$	−9.34512	+	10.3294i	−0.624397	+	0.690163i
$225$	1.14004	+	2.49633i	0.0760024	+	0.166422i
$226$	−1.47728	+	0.212400i	−0.0982670	+	0.0141287i
$227$	10.8424	−	6.96801i	0.719637	−	0.462483i	−0.128873	−	0.991661i	$-0.541136\pi$
$227$	10.8424	−	6.96801i	0.719637	−	0.462483i	0.848511	+	0.529178i	$0.177500\pi$
$228$	1.05335	+	0.912734i	0.0697599	+	0.0604473i
$229$	−13.3453			−0.881881			−0.440941	−	0.897536i	$-0.645355\pi$
$229$	−13.3453			−0.881881			−0.440941	+	0.897536i	$0.645355\pi$
$230$	−1.12718	−	2.33022i	−0.0743240	−	0.153650i
$231$	1.56891	+	1.05641i	0.103226	+	0.0695070i
$232$	−10.2401	+	11.8177i	−0.672294	+	0.775868i
$233$	−5.24024	+	3.36770i	−0.343299	+	0.220625i	−0.700917	−	0.713243i	$-0.747226\pi$
$233$	−5.24024	+	3.36770i	−0.343299	+	0.220625i	0.357617	+	0.933868i	$0.383589\pi$
$234$	−4.09354	+	0.588562i	−0.267603	+	0.0384755i
$235$	−7.78486	+	3.55523i	−0.507828	+	0.231917i
$236$	−18.6382	−	2.67977i	−1.21325	−	0.174438i
$237$	2.49344	−	0.732139i	0.161966	−	0.0475575i
$238$	−0.0379713	−	0.0880897i	−0.00246131	−	0.00571001i
$239$	−11.3100	+	24.7654i	−0.731582	+	1.60194i	0.0653420	+	0.997863i	$0.479186\pi$
$239$	−11.3100	+	24.7654i	−0.731582	+	1.60194i	−0.796924	+	0.604079i	$0.793541\pi$
$240$	−0.332906	+	1.13377i	−0.0214890	+	0.0731848i
$241$	−6.20165	−	7.15708i	−0.399483	−	0.461028i	0.519995	−	0.854169i	$-0.325934\pi$
$241$	−6.20165	−	7.15708i	−0.399483	−	0.461028i	−0.919478	+	0.393141i	$0.871388\pi$
$242$	3.18149	+	3.67164i	0.204514	+	0.236022i
$243$	3.41853	−	11.6425i	0.219299	−	0.746864i
$244$	2.46888	−	5.40609i	0.158054	−	0.346089i
$245$	1.29193	−	6.87975i	0.0825384	−	0.439531i
$246$	1.82662	−	0.536343i	0.116461	−	0.0341960i
$247$	−4.45831	−	0.641009i	−0.283676	−	0.0407864i
$248$	−0.0447179	+	0.0204220i	−0.00283959	+	0.00129680i
$249$	−3.59600	+	0.517026i	−0.227887	+	0.0327652i
$250$	0.454062	−	0.291808i	0.0287174	−	0.0184555i
$251$	12.2907	−	14.1842i	0.775783	−	0.895301i	−0.221014	−	0.975271i	$-0.570937\pi$
$251$	12.2907	−	14.1842i	0.775783	−	0.895301i	0.996797	+	0.0799691i	$0.0254822\pi$
$252$	10.2909	+	6.92933i	0.648266	+	0.436507i
$253$	6.73123	+	0.816137i	0.423189	+	0.0513101i
$254$	−8.08346			−0.507201
$255$	−0.0256692	−	0.0222425i	−0.00160747	−	0.00139288i
$256$	−2.14744	+	1.38007i	−0.134215	+	0.0862546i
$257$	−24.0039	+	3.45124i	−1.49732	+	0.215283i	−0.841758	−	0.539856i	$-0.818479\pi$
$257$	−24.0039	+	3.45124i	−1.49732	+	0.215283i	−0.655566	+	0.755138i	$0.727570\pi$
$258$	−0.426085	−	0.932996i	−0.0265269	−	0.0580858i
$259$	2.55750	+	2.31380i	0.158915	+	0.143772i
$260$	−1.34405	−	4.57741i	−0.0833543	−	0.283879i
$261$	18.0348	+	11.5902i	1.11632	+	0.717418i
$262$	−2.12587	−	0.970851i	−0.131336	−	0.0599794i
$263$	5.00464	−	17.0442i	0.308599	−	1.05099i	−0.648495	−	0.761219i	$-0.724601\pi$
$263$	5.00464	−	17.0442i	0.308599	−	1.05099i	0.957095	−	0.289775i	$-0.0935804\pi$
$264$	0.937120	+	1.08149i	0.0576758	+	0.0665614i
$265$	8.21586	−	7.11909i	0.504697	−	0.437322i
$266$	−1.47100	−	1.77295i	−0.0901929	−	0.108707i
$267$	−7.03225	−	3.21152i	−0.430366	−	0.196542i
$268$	8.44531	−	13.1412i	0.515879	−	0.802724i
$269$	3.77598	+	12.8598i	0.230226	+	0.784076i	0.990860	+	0.134896i	$0.0430699\pi$
$269$	3.77598	+	12.8598i	0.230226	+	0.784076i	−0.760634	+	0.649181i	$0.775112\pi$
$270$	−1.55176	−	0.223109i	−0.0944370	−	0.0135780i
$271$	−23.1741	+	10.5833i	−1.40773	+	0.642888i	−0.967005	−	0.254756i	$-0.918005\pi$
$271$	−23.1741	+	10.5833i	−1.40773	+	0.642888i	−0.440722	+	0.897644i	$0.645278\pi$
$272$	0.0223404	+	0.155381i	0.00135458	+	0.00942134i
$273$	3.73428	+	0.0799745i	0.226009	+	0.00484028i
$274$	−1.02036	−	0.884148i	−0.0616423	−	0.0534134i
$275$			1.41384i			0.0852577i
$276$	−4.11334	−	0.498727i	−0.247594	−	0.0300198i
$277$	−2.04108			−0.122637			−0.0613184	−	0.998118i	$-0.519530\pi$
$277$	−2.04108			−0.122637			−0.0613184	+	0.998118i	$0.519530\pi$
$278$	8.34362	+	7.22979i	0.500417	+	0.433614i
$279$	0.0364379	+	0.0566985i	0.00218148	+	0.00339445i
$280$	2.30272	−	4.76929i	0.137614	−	0.285019i
$281$	−2.23655	+	1.02140i	−0.133421	+	0.0609314i	−0.481007	−	0.876717i	$-0.659729\pi$
$281$	−2.23655	+	1.02140i	−0.133421	+	0.0609314i	0.347586	+	0.937648i	$0.387002\pi$
$282$	0.332402	−	2.31190i	0.0197942	−	0.137672i
$283$	−9.34452	+	2.74380i	−0.555474	+	0.163102i	−0.547408	−	0.836866i	$-0.684386\pi$
$283$	−9.34452	+	2.74380i	−0.555474	+	0.163102i	−0.00806556	+	0.999967i	$0.502567\pi$
$284$	16.1407	+	10.3730i	0.957776	+	0.615526i
$285$	−0.741995	−	0.338858i	−0.0439520	−	0.0200722i
$286$	−2.04431	−	0.600264i	−0.120883	−	0.0354944i
$287$	18.3198	−	2.23476i	1.08138	−	0.131914i
$288$	9.46168	+	10.9194i	0.557535	+	0.643430i
$289$	16.3071	+	4.78818i	0.959238	+	0.281658i
$290$	1.75153	−	3.83531i	0.102853	−	0.225217i
$291$	3.12379	−	4.86071i	0.183120	−	0.284940i
$292$	−6.74979	−	22.9877i	−0.395001	−	1.34525i
$293$	2.02226	−	14.0652i	0.118142	−	0.821695i	−0.841457	−	0.540324i	$-0.818302\pi$
$293$	2.02226	−	14.0652i	0.118142	−	0.821695i	0.959599	−	0.281371i	$-0.0907893\pi$
$294$	1.38890	+	1.31172i	0.0810025	+	0.0765008i
$295$	10.9080	−	1.56833i	0.635088	−	0.0913119i
$296$	1.41072	+	2.19512i	0.0819962	+	0.127589i
$297$	2.68923	−	3.10354i	0.156045	−	0.180085i
$298$		−	11.2666i		−	0.652654i
$299$	12.0539	−	5.83073i	0.697093	−	0.337200i
$300$		−	0.863972i		−	0.0498814i
$301$	−2.59646	−	9.59843i	−0.149658	−	0.553244i
$302$	−8.72564	+	5.60763i	−0.502104	+	0.322683i
$303$	0.988970	+	6.87844i	0.0568148	+	0.395156i
$304$	1.56611	+	3.42931i	0.0898228	+	0.196684i
$305$	−0.495003	+	3.44282i	−0.0283438	+	0.197135i
$306$	−0.0954688	+	0.0280322i	−0.00545759	+	0.00160249i
$307$	5.73745	−	8.92765i	0.327454	−	0.509528i	−0.638023	−	0.770017i	$-0.720248\pi$
$307$	5.73745	−	8.92765i	0.327454	−	0.509528i	0.965477	+	0.260489i	$0.0838839\pi$
$308$	3.33963	+	5.44970i	0.190293	+	0.310525i
$309$	1.60237	−	5.45718i	0.0911558	−	0.310448i
$310$	0.0100178	−	0.00868051i	0.000568975	−	0.000493020i
$311$	−1.98123	+	1.71674i	−0.112345	+	0.0973475i	−0.709222	−	0.704985i	$-0.750954\pi$
$311$	−1.98123	+	1.71674i	−0.112345	+	0.0973475i	0.596877	+	0.802333i	$0.296408\pi$
$312$	2.71148	+	0.796162i	0.153507	+	0.0450738i
$313$	−11.4127	+	24.9903i	−0.645084	+	1.41254i	0.250708	+	0.968063i	$0.419337\pi$
$313$	−11.4127	+	24.9903i	−0.645084	+	1.41254i	−0.895792	+	0.444474i	$0.853391\pi$
$314$	−7.96695	−	5.12004i	−0.449601	−	0.288941i
$315$	−6.92130	−	2.19431i	−0.389971	−	0.123635i
$316$	8.69227	+	1.24976i	0.488978	+	0.0703045i
$317$	0.607907	+	1.33113i	0.0341435	+	0.0747638i	0.925935	−	0.377682i	$-0.123279\pi$
$317$	0.607907	+	1.33113i	0.0341435	+	0.0747638i	−0.891792	+	0.452446i	$0.850552\pi$
$318$	0.422234	+	2.93670i	0.0236777	+	0.164682i
$319$	5.97112	+	9.29125i	0.334319	+	0.520210i
$320$	−1.19984	+	1.38469i	−0.0670730	+	0.0774063i
$321$	−2.96043			−0.165235
$322$	6.57257	+	1.92468i	0.366275	+	0.107258i
$323$	−0.108365			−0.00602962
$324$	7.56892	−	8.73500i	0.420496	−	0.485278i
$325$	1.50948	+	2.34879i	0.0837308	+	0.130288i
$326$	−0.831529	−	5.78341i	−0.0460541	−	0.320313i
$327$	2.00599	+	4.39251i	0.110932	+	0.242906i
$328$	13.8211	+	1.98717i	0.763141	+	0.109723i
$329$	6.84299	−	21.5842i	0.377266	−	1.18998i
$330$	−0.324604	−	0.208611i	−0.0178689	−	0.0114836i
$331$	−2.49891	+	5.47184i	−0.137352	+	0.300760i	−0.965792	−	0.259319i	$-0.916502\pi$
$331$	−2.49891	+	5.47184i	−0.137352	+	0.300760i	0.828439	+	0.560079i	$0.189229\pi$
$332$	−11.7794	−	3.45875i	−0.646480	−	0.189824i
$333$	2.70357	−	2.34266i	0.148155	−	0.128377i
$334$	0.859448	−	0.744716i	0.0470269	−	0.0407491i
$335$	−2.57563	+	8.77180i	−0.140722	+	0.479255i
$336$	−1.63352	−	2.66562i	−0.0891157	−	0.145421i
$337$	14.9177	−	23.2124i	0.812621	−	1.26446i	−0.148659	−	0.988889i	$-0.547496\pi$
$337$	14.9177	−	23.2124i	0.812621	−	1.26446i	0.961280	−	0.275574i	$-0.0888680\pi$
$338$	2.69538	−	0.791436i	0.146610	−	0.0430485i
$339$	0.198979	−	1.38393i	0.0108071	−	0.0751647i
$340$	−0.0476801	−	0.104405i	−0.00258582	−	0.00566215i
$341$	0.00494150	+	0.0343689i	0.000267597	+	0.00186118i
$342$	−2.01024	+	1.29190i	−0.108701	+	0.0698579i
$343$	11.2047	+	14.7464i	0.604995	+	0.796229i
$344$		−	7.52304i		−	0.405615i
$345$	2.39204	−	0.398166i	0.128783	−	0.0214365i
$346$			4.60601i			0.247621i
$347$	1.22377	−	1.41231i	0.0656954	−	0.0758166i	−0.721951	−	0.691945i	$-0.756754\pi$
$347$	1.22377	−	1.41231i	0.0656954	−	0.0758166i	0.787646	+	0.616128i	$0.211300\pi$
$348$	−3.64885	−	5.67772i	−0.195599	−	0.304358i
$349$	18.2005	−	2.61683i	0.974248	−	0.140076i	0.363236	−	0.931697i	$-0.381672\pi$
$349$	18.2005	−	2.61683i	0.974248	−	0.140076i	0.611012	+	0.791621i	$0.290763\pi$
$350$	−0.233448	+	1.40882i	−0.0124783	+	0.0753045i
$351$	1.15411	−	8.02701i	0.0616018	−	0.428450i
$352$	2.09710	+	7.14208i	0.111776	+	0.380674i
$353$	17.4712	−	27.1857i	0.929898	−	1.44695i	0.0356561	−	0.999364i	$-0.488648\pi$
$353$	17.4712	−	27.1857i	0.929898	−	1.44695i	0.894241	−	0.447585i	$-0.147716\pi$
$354$	−1.24939	+	2.73578i	−0.0664043	+	0.145405i
$355$	−10.7740	−	3.16354i	−0.571826	−	0.167903i
$356$	−17.1079	−	19.7436i	−0.906718	−	1.04641i
$357$	0.0892024	−	0.0108815i	0.00472109	−	0.000575909i
$358$	−1.82841	−	0.536868i	−0.0966343	−	0.0283744i
$359$	−17.9714	−	8.20727i	−0.948496	−	0.433163i	−0.119759	−	0.992803i	$-0.538212\pi$
$359$	−17.9714	−	8.20727i	−0.948496	−	0.433163i	−0.828736	+	0.559640i	$0.810940\pi$
$360$	−4.62136	−	2.96997i	−0.243567	−	0.156531i
$361$	15.7333	−	4.61971i	0.828067	−	0.243143i
$362$	−0.855951	+	5.95327i	−0.0449878	+	0.312897i
$363$	−4.13999	+	1.89067i	−0.217293	+	0.0992344i
$364$	11.3664	+	5.48798i	0.595763	+	0.287648i
$365$	7.58057	+	11.7956i	0.396785	+	0.617410i
$366$	−0.717403	−	0.621633i	−0.0374992	−	0.0324933i
$367$	15.2668			0.796922			0.398461	−	0.917185i	$-0.369545\pi$
$367$	15.2668			0.796922			0.398461	+	0.917185i	$0.369545\pi$
$368$	−9.56020	−	5.84900i	−0.498360	−	0.304900i
$369$		−	19.1432i		−	0.996555i
$370$	−0.531728	−	0.460745i	−0.0276432	−	0.0239530i
$371$	−0.615842	+	28.7558i	−0.0319729	+	1.49292i
$372$	−0.00301966	−	0.0210022i	−0.000156562	−	0.00108891i
$373$	−3.30569	+	1.50966i	−0.171162	+	0.0781671i	−0.499153	−	0.866514i	$-0.666356\pi$
$373$	−3.30569	+	1.50966i	−0.171162	+	0.0781671i	0.327991	+	0.944681i	$0.393628\pi$
$374$	−0.0507387	−	0.00729513i	−0.00262364	−	0.000377222i
$375$	0.142455	+	0.485156i	0.00735633	+	0.0250534i
$376$	9.26192	−	14.4118i	0.477647	−	0.743233i
$377$	19.8395	+	9.06040i	1.02179	+	0.466634i
$378$	3.19212	−	2.64848i	0.164185	−	0.136223i
$379$	2.44399	−	2.11773i	0.125539	−	0.108780i	−0.589828	−	0.807529i	$-0.700805\pi$
$379$	2.44399	−	2.11773i	0.125539	−	0.108780i	0.715368	+	0.698748i	$0.246259\pi$
$380$	−1.80511	−	2.08321i	−0.0926004	−	0.106867i
$381$	2.13347	−	7.26593i	0.109301	−	0.372245i
$382$	−0.806948	−	0.368521i	−0.0412871	−	0.0188552i
$383$	−30.9660	−	19.9006i	−1.58229	−	1.01687i	−0.974948	−	0.222431i	$-0.928601\pi$
$383$	−30.9660	−	19.9006i	−1.58229	−	1.01687i	−0.607339	−	0.794443i	$-0.707763\pi$
$384$	−1.64087	−	5.58830i	−0.0837354	−	0.285177i
$385$	−2.77391	−	2.50958i	−0.141371	−	0.127900i
$386$	−1.38898	−	3.04144i	−0.0706972	−	0.154805i
$387$	−10.2089	+	1.46782i	−0.518949	+	0.0746135i
$388$	16.4255	−	10.5561i	0.833881	−	0.535903i
$389$	16.7897	+	14.5483i	0.851270	+	0.737630i	0.966762	−	0.255679i	$-0.0822989\pi$
$389$	16.7897	+	14.5483i	0.851270	+	0.737630i	−0.115492	+	0.993308i	$0.536844\pi$
$390$	−0.761983			−0.0385845
$391$	0.267088	−	0.180125i	0.0135072	−	0.00910934i
$392$	5.26983	+	12.9834i	0.266167	+	0.655762i
$393$	1.43374	−	1.65463i	0.0723227	−	0.0834649i
$394$	−7.08288	+	4.55189i	−0.356830	+	0.229321i
$395$	−5.08714	+	0.731420i	−0.255962	+	0.0368017i
$396$	6.03062	−	2.75409i	0.303050	−	0.138398i
$397$	9.69930	+	1.39455i	0.486794	+	0.0699904i	0.381342	−	0.924434i	$-0.375462\pi$
$397$	9.69930	+	1.39455i	0.486794	+	0.0699904i	0.105452	+	0.994424i	$0.466371\pi$
$398$	−6.10001	+	1.79112i	−0.305766	+	0.0897809i
$399$	1.98188	−	0.854295i	0.0992182	−	0.0427682i
$400$	0.970795	−	2.12574i	0.0485397	−	0.106287i
$401$	3.31063	−	11.2750i	0.165325	−	0.563045i	−0.834601	−	0.550855i	$-0.814302\pi$
$401$	3.31063	−	11.2750i	0.165325	−	0.563045i	0.999926	−	0.0121897i	$-0.00388019\pi$
$402$	−1.63389	−	1.88561i	−0.0814911	−	0.0940458i
$403$	0.0449030	+	0.0518208i	0.00223678	+	0.00258138i
$404$	−6.61592	+	22.5317i	−0.329154	+	1.12100i
$405$	−2.81001	+	6.15306i	−0.139630	+	0.305748i
$406$	4.41578	+	10.2442i	0.219152	+	0.508410i
$407$	1.76834	−	0.519231i	0.0876533	−	0.0257373i
$408$	0.0672975	+	0.00967591i	0.00333172	+	0.000479029i
$409$	18.3810	−	8.39434i	0.908884	−	0.415073i	0.0945834	−	0.995517i	$-0.469848\pi$
$409$	18.3810	−	8.39434i	0.908884	−	0.415073i	0.814300	+	0.580444i	$0.197121\pi$
$410$	−3.72669	+	0.535817i	−0.184048	+	0.0264621i
$411$	1.06403	−	0.683812i	0.0524849	−	0.0337300i
$412$	12.5862	−	14.5253i	0.620079	−	0.715610i
$413$	−16.2848	+	24.1850i	−0.801324	+	1.19006i
$414$	2.80722	−	6.52556i	0.137967	−	0.320714i
$415$	7.18493			0.352694
$416$	11.1091	+	9.62609i	0.544669	+	0.471958i
$417$	−8.70073	+	5.59162i	−0.426076	+	0.273823i
$418$	−1.21854	+	0.175200i	−0.0596008	+	0.00856930i
$419$	13.8675	+	30.3655i	0.677470	+	1.48345i	0.865302	+	0.501251i	$0.167127\pi$
$419$	13.8675	+	30.3655i	0.677470	+	1.48345i	−0.187832	+	0.982201i	$0.560146\pi$
$420$	1.69509	+	1.53356i	0.0827117	+	0.0748302i
$421$	4.40745	+	15.0104i	0.214806	+	0.731562i	0.994438	+	0.105324i	$0.0335880\pi$
$421$	4.40745	+	15.0104i	0.214806	+	0.731562i	−0.779632	+	0.626238i	$0.784594\pi$
$422$	−0.481282	−	0.309301i	−0.0234285	−	0.0150566i
$423$	−21.3642	−	9.75672i	−1.03876	−	0.474388i
$424$	−6.13083	+	20.8797i	−0.297739	+	1.01401i
$425$	0.0439890	+	0.0507660i	0.00213378	+	0.00246251i
$426$	2.31602	−	2.00684i	0.112211	−	0.0972318i
$427$	−5.87607	−	7.08224i	−0.284363	−	0.342733i
$428$	−9.09998	−	4.15582i	−0.439864	−	0.200879i
$429$	1.07911	−	1.67913i	0.0521000	−	0.0810692i
$430$	0.571494	+	1.94633i	0.0275599	+	0.0938603i
$431$	−6.84077	−	0.983554i	−0.329508	−	0.0473761i	−0.0244245	−	0.999702i	$-0.507775\pi$
$431$	−6.84077	−	0.983554i	−0.329508	−	0.0473761i	−0.305084	+	0.952326i	$0.598684\pi$
$432$	−6.17433	+	2.81972i	−0.297063	+	0.135664i
$433$	2.09673	+	14.5831i	0.100762	+	0.700818i	0.976103	+	0.217310i	$0.0697284\pi$
$433$	2.09673	+	14.5831i	0.100762	+	0.700818i	−0.875340	+	0.483508i	$0.839363\pi$
$434$	−0.000750914		0.0350627i	−3.60450e−5		0.00168307i
$435$	2.98514	+	2.58664i	0.143127	+	0.124020i
$436$			16.3180i			0.781490i
$437$	4.93581	−	5.95780i	0.236112	−	0.285000i
$438$	−3.82667			−0.182845
$439$	−4.07657	−	3.53237i	−0.194564	−	0.168591i	0.552131	−	0.833758i	$-0.313815\pi$
$439$	−4.07657	−	3.53237i	−0.194564	−	0.168591i	−0.746695	+	0.665167i	$0.768360\pi$
$440$	−1.53008	−	2.38086i	−0.0729439	−	0.113503i
$441$	16.5906	−	9.68447i	0.790027	−	0.461165i
$442$	−0.0920803	+	0.0420517i	−0.00437981	+	0.00200019i
$443$	−5.35234	+	37.2264i	−0.254297	+	1.76868i	0.317476	+	0.948266i	$0.397165\pi$
$443$	−5.35234	+	37.2264i	−0.254297	+	1.76868i	−0.571774	+	0.820411i	$0.693745\pi$
$444$	−1.08060	+	0.317293i	−0.0512830	+	0.0150581i
$445$	12.8622	+	8.26604i	0.609727	+	0.391848i
$446$	10.1591	+	4.63952i	0.481049	+	0.219688i
$447$	10.1271	+	2.97358i	0.478995	+	0.140646i
$448$	−0.586984	−	4.81188i	−0.0277324	−	0.227340i
$449$	10.7641	+	12.4224i	0.507989	+	0.586250i	0.950582	−	0.310472i	$-0.100487\pi$
$449$	10.7641	+	12.4224i	0.507989	+	0.586250i	−0.442594	+	0.896722i	$0.645942\pi$
$450$	1.42124	+	0.417312i	0.0669977	+	0.0196723i
$451$	4.09694	−	8.97106i	0.192918	−	0.422431i
$452$	2.55438	−	3.97470i	0.120148	−	0.186954i
$453$	−2.73753	−	9.32318i	−0.128621	−	0.438041i
$454$	0.990006	−	6.88564i	0.0464633	−	0.323159i
$455$	−7.28761	−	1.20759i	−0.341648	−	0.0566128i
$456$	1.61622	−	0.232377i	0.0756862	−	0.0108820i
$457$	4.81410	+	7.49088i	0.225194	+	0.350409i	0.935404	−	0.353582i	$-0.115036\pi$
$457$	4.81410	+	7.49088i	0.225194	+	0.350409i	−0.710210	+	0.703990i	$0.751400\pi$
$458$	−4.71699	+	5.44369i	−0.220410	+	0.254367i
$459$		−	0.195108i		−	0.00910685i
$460$	7.91178	+	2.13402i	0.368888	+	0.0994990i
$461$			31.5351i			1.46874i	0.678750	+	0.734369i	$0.262522\pi$
$461$			31.5351i			1.46874i	−0.678750	+	0.734369i	$0.737478\pi$
$462$	0.985465	−	0.266577i	0.0458480	−	0.0124023i
$463$	−29.5169	+	18.9694i	−1.37177	+	0.881582i	−0.998927	−	0.0463131i	$-0.985253\pi$
$463$	−29.5169	+	18.9694i	−1.37177	+	0.881582i	−0.372841	+	0.927895i	$0.621616\pi$
$464$	−2.59802	−	18.0696i	−0.120610	−	0.838862i
$465$	0.00515858	+	0.0112957i	0.000239224	+	0.000523827i
$466$	−0.478478	+	3.32789i	−0.0221651	+	0.154161i
$467$	−4.74196	+	1.39237i	−0.219432	+	0.0644310i	−0.389601	−	0.920984i	$-0.627387\pi$
$467$	−4.74196	+	1.39237i	−0.219432	+	0.0644310i	0.170169	+	0.985415i	$0.445569\pi$
$468$	7.07820	−	11.0139i	0.327190	−	0.509118i
$469$	−12.6382	−	20.6234i	−0.583579	−	0.952299i
$470$	−1.30140	+	4.43215i	−0.0600290	+	0.204440i
$471$	6.70494	−	5.80986i	0.308947	−	0.267704i
$472$	−16.6714	+	14.4459i	−0.767364	+	0.664925i
$473$	−5.09833	−	1.49701i	−0.234422	−	0.0688324i
$474$	0.582675	−	1.27588i	0.0267631	−	0.0586031i
$475$	1.35713	+	0.872177i	0.0622696	+	0.0400182i
$476$	0.289472	+	0.0917732i	0.0132679	+	0.00420642i
$477$	29.5303	+	4.24582i	1.35210	+	0.194403i
$478$	6.10450	+	13.3670i	0.279213	+	0.611392i
$479$	−3.77341	−	26.2447i	−0.172412	−	1.19915i	−0.873770	−	0.486340i	$-0.838332\pi$
$479$	−3.77341	−	26.2447i	−0.172412	−	1.19915i	0.701358	−	0.712809i	$-0.252577\pi$
$480$	1.43923	+	2.23949i	0.0656918	+	0.102218i
$481$	2.38337	−	2.75055i	0.108672	−	0.125414i
$482$	−5.11147			−0.232821
$483$	−3.46472	+	5.39987i	−0.157650	+	0.245702i
$484$	−15.3799			−0.699086
$485$	−7.48311	+	8.63597i	−0.339790	+	0.392139i
$486$	−3.54078	−	5.50957i	−0.160613	−	0.249919i
$487$	−0.207838	−	1.44555i	−0.00941806	−	0.0655040i	0.984570	−	0.174989i	$-0.0559890\pi$
$487$	−0.207838	−	1.44555i	−0.00941806	−	0.0655040i	−0.993988	+	0.109485i	$0.965080\pi$
$488$	−2.89232	−	6.33330i	−0.130929	−	0.286695i
$489$	5.41796	+	0.778985i	0.245009	+	0.0352269i
$490$	−2.34968	−	2.95869i	−0.106148	−	0.133660i
$491$	17.3904	+	11.1761i	0.784816	+	0.504371i	0.870629	−	0.491940i	$-0.163712\pi$
$491$	17.3904	+	11.1761i	0.784816	+	0.504371i	−0.0858125	+	0.996311i	$0.527349\pi$
$492$	−2.50357	+	5.48206i	−0.112870	+	0.247150i
$493$	0.503483	+	0.147836i	0.0226757	+	0.00665819i
$494$	−1.83730	+	1.59203i	−0.0826639	+	0.0716287i
$495$	−2.93234	+	2.54089i	−0.131799	+	0.114204i
$496$	0.0161693	−	0.0550675i	0.000726022	−	0.00247261i
$497$	25.3308	−	15.5230i	1.13624	−	0.696302i
$498$	−1.06013	+	1.64959i	−0.0475056	+	0.0739201i
$499$	20.6631	−	6.06725i	0.925009	−	0.271607i	0.215663	−	0.976468i	$-0.430809\pi$
$499$	20.6631	−	6.06725i	0.925009	−	0.271607i	0.709346	+	0.704860i	$0.248990\pi$
$500$	−0.243170	+	1.69128i	−0.0108749	+	0.0756365i
$501$	0.442564	+	0.969080i	0.0197723	+	0.0432953i
$502$	−1.44167	−	10.0270i	−0.0643449	−	0.447529i
$503$	7.50849	−	4.82541i	0.334787	−	0.215154i	−0.362436	−	0.932009i	$-0.618055\pi$
$503$	7.50849	−	4.82541i	0.334787	−	0.215154i	0.697223	+	0.716854i	$0.254419\pi$
$504$	14.0300	−	3.79524i	0.624945	−	0.169053i
$505$		−	13.7434i		−	0.611572i
$506$	2.71211	−	2.45728i	0.120568	−	0.109239i
$507$			2.63167i			0.116876i
$508$	16.7578	−	19.3396i	0.743509	−	0.858055i
$509$	−7.67761	−	11.9466i	−0.340304	−	0.529524i	0.628352	−	0.777929i	$-0.283730\pi$
$509$	−7.67761	−	11.9466i	−0.340304	−	0.529524i	−0.968656	+	0.248405i	$0.920093\pi$
$510$	−0.0181459	+	0.00260899i	−0.000803516	+	0.000115528i
$511$	−36.5982	−	6.06450i	−1.61901	−	0.268278i
$512$	3.08244	−	21.4389i	0.136226	−	0.947472i
$513$	−1.32012	−	4.49590i	−0.0582845	−	0.198499i
$514$	−7.07656	+	11.0113i	−0.312134	+	0.485689i
$515$	−4.67271	+	10.2318i	−0.205904	+	0.450868i
$516$	3.11550	+	0.914794i	0.137152	+	0.0402715i
$517$	−7.92381	−	9.14456i	−0.348489	−	0.402177i
$518$	1.84779	−	0.225406i	0.0811873	−	0.00990375i
$519$	−4.14017	−	1.21566i	−0.181733	−	0.0533617i
$520$	−5.08382	−	2.32170i	−0.222940	−	0.101813i
$521$	19.4434	+	12.4955i	0.851829	+	0.547437i	0.892145	−	0.451750i	$-0.149200\pi$
$521$	19.4434	+	12.4955i	0.851829	+	0.547437i	−0.0403155	+	0.999187i	$0.512836\pi$
$522$	11.1023	−	3.25993i	0.485935	−	0.142683i
$523$	−2.95811	+	20.5741i	−0.129349	+	0.899642i	0.817033	+	0.576591i	$0.195617\pi$
$523$	−2.95811	+	20.5741i	−0.129349	+	0.899642i	−0.946382	+	0.323051i	$0.895292\pi$
$524$	6.72989	−	3.07344i	0.293997	−	0.134264i
$525$	−1.20472	−	0.581667i	−0.0525783	−	0.0253860i
$526$	−5.18361	−	8.06586i	−0.226016	−	0.351688i
$527$	0.00124676	+	0.00108032i	5.43096e−5	+	4.70595e-5i
$528$	−1.67065			−0.0727056
$529$	−2.26218	+	22.8885i	−0.0983557	+	0.995151i
$530$		−	5.86764i		−	0.254874i
$531$	22.8561	+	19.8049i	0.991871	+	0.859461i
$532$	7.29130	+	0.156153i	0.316118	+	0.00677008i
$533$	−2.77170	−	19.2776i	−0.120056	−	0.835006i
$534$	−3.79561	+	1.73340i	−0.164252	+	0.0750115i
$535$	5.79524	+	0.833230i	0.250550	+	0.0360237i
$536$	−5.15574	−	17.5588i	−0.222694	−	0.758426i
$537$	0.965143	−	1.50179i	0.0416490	−	0.0648071i
$538$	6.58031	+	3.00513i	0.283697	+	0.129560i
$539$	9.84745	−	0.987778i	0.424160	−	0.0425466i
$540$	3.75074	−	3.25003i	0.161406	−	0.139859i
$541$	1.61387	+	1.86250i	0.0693857	+	0.0800753i	0.789381	−	0.613903i	$-0.210402\pi$
$541$	1.61387	+	1.86250i	0.0693857	+	0.0800753i	−0.719995	+	0.693979i	$0.755856\pi$
$542$	−3.87402	+	13.1937i	−0.166404	+	0.566719i
$543$	−5.12526	−	2.34063i	−0.219946	−	0.100446i
$544$	0.297513	+	0.191200i	0.0127557	+	0.00819762i
$545$	−2.69057	−	9.16323i	−0.115251	−	0.392510i
$546$	1.35253	−	1.49499i	0.0578830	−	0.0639796i
$547$	−1.24372	−	2.72337i	−0.0531776	−	0.116443i	0.881178	−	0.472785i	$-0.156751\pi$
$547$	−1.24372	−	2.72337i	−0.0531776	−	0.116443i	−0.934356	+	0.356342i	$0.884024\pi$
$548$	4.23063	−	0.608273i	0.180724	−	0.0259841i
$549$	−8.03010	+	5.16063i	−0.342716	+	0.220250i
$550$	0.576721	+	0.499731i	0.0245915	+	0.0213086i
$551$	12.6021			0.536868
$552$	−3.59722	+	3.25922i	−0.153108	+	0.138721i
$553$	7.59472	−	11.2791i	0.322960	−	0.479636i
$554$	−0.721435	+	0.832580i	−0.0306508	+	0.0353729i
$555$	0.554486	−	0.356346i	0.0235366	−	0.0151261i
$556$	−34.5944	+	4.97392i	−1.46713	+	0.210941i
$557$	−20.4979	+	9.36108i	−0.868524	+	0.396642i	−0.799281	−	0.600958i	$-0.794786\pi$
$557$	−20.4979	+	9.36108i	−0.868524	+	0.396642i	−0.0692437	+	0.997600i	$0.522059\pi$
$558$	0.0360072	+	0.00517706i	0.00152431	+	0.000219162i
$559$	−10.0681	+	2.95625i	−0.425834	+	0.125036i
$560$	2.44747	+	5.67790i	0.103425	+	0.239935i
$561$	0.0199488	−	0.0436818i	0.000842239	−	0.00184425i
$562$	−0.373884	+	1.27333i	−0.0157713	+	0.0537123i
$563$	0.313274	+	0.361538i	0.0132029	+	0.0152370i	0.762313	−	0.647209i	$-0.224064\pi$
$563$	0.313274	+	0.361538i	0.0132029	+	0.0152370i	−0.749110	+	0.662446i	$0.769518\pi$
$564$	4.84210	+	5.58808i	0.203889	+	0.235301i
$565$	−0.779030	+	2.65313i	−0.0327740	+	0.111618i
$566$	−2.18366	+	4.78155i	−0.0917861	+	0.200984i
$567$	−7.08431	−	16.4349i	−0.297513	−	0.690202i
$568$	21.5668	−	6.33258i	0.904922	−	0.265709i
$569$	19.5697	+	2.81370i	0.820404	+	0.117956i	0.539721	−	0.841844i	$-0.318530\pi$
$569$	19.5697	+	2.81370i	0.820404	+	0.117956i	0.280683	+	0.959800i	$0.409439\pi$
$570$	−0.400488	+	0.182897i	−0.0167746	+	0.00766069i
$571$	20.8273	−	2.99451i	0.871595	−	0.125316i	0.308018	−	0.951380i	$-0.400334\pi$
$571$	20.8273	−	2.99451i	0.871595	−	0.125316i	0.563576	+	0.826064i	$0.309425\pi$
$572$	5.67420	−	3.64658i	0.237250	−	0.152471i
$573$	0.544228	−	0.628073i	0.0227354	−	0.0262381i
$574$	5.56367	−	8.26273i	0.232223	−	0.344880i
$575$	−4.79466	+	0.106182i	−0.199951	+	0.00442811i
$576$	−5.02817			−0.209507
$577$	−2.55096	−	2.21042i	−0.106198	−	0.0920210i	0.600143	−	0.799892i	$-0.295110\pi$
$577$	−2.55096	−	2.21042i	−0.106198	−	0.0920210i	−0.706341	+	0.707871i	$0.749656\pi$
$578$	7.71700	−	4.95941i	0.320985	−	0.206284i
$579$	3.10043	−	0.445775i	0.128850	−	0.0185258i
$580$	5.54484	+	12.1415i	0.230237	+	0.504149i
$581$	−12.7534	+	14.0966i	−0.529098	+	0.584826i
$582$	−0.878613	−	2.99228i	−0.0364197	−	0.124034i
$583$	12.9301	+	8.30967i	0.535510	+	0.344151i
$584$	−25.5309	−	11.6596i	−1.05648	−	0.482476i
$585$	−2.15870	+	7.35184i	−0.0892511	+	0.303961i
$586$	−5.02255	−	5.79634i	−0.207480	−	0.239444i
$587$	−17.1552	+	14.8651i	−0.708070	+	0.613546i	−0.932596	−	0.360922i	$-0.882462\pi$
$587$	−17.1552	+	14.8651i	−0.708070	+	0.613546i	0.224526	+	0.974468i	$0.427917\pi$
$588$	−6.01760	+	0.603614i	−0.248162	+	0.0248926i
$589$	0.0360388	+	0.0164584i	0.00148495	+	0.000678155i
$590$	3.21577	−	5.00383i	0.132391	−	0.206005i
$591$	−2.22214	−	7.56792i	−0.0914067	−	0.311303i
$592$	−3.01527	−	0.433530i	−0.123927	−	0.0178180i
$593$	−1.50106	+	0.685511i	−0.0616411	+	0.0281506i	−0.445997	−	0.895034i	$-0.647151\pi$
$593$	−1.50106	+	0.685511i	−0.0616411	+	0.0281506i	0.384356	+	0.923185i	$0.374424\pi$
$594$	−0.315440	−	2.19393i	−0.0129427	−	0.0900182i
$595$	−0.177683	−	0.00380530i	−0.00728427	−	0.000156002i
$596$	26.9551	+	23.3567i	1.10412	+	0.956729i
$597$		−	5.95580i		−	0.243755i
$598$	1.88210	−	6.97782i	0.0769650	−	0.285344i
$599$	−27.4001			−1.11954			−0.559769	−	0.828649i	$-0.689110\pi$
$599$	−27.4001			−1.11954			−0.559769	+	0.828649i	$0.689110\pi$
$600$	−0.764935	−	0.662820i	−0.0312283	−	0.0270595i
$601$	6.36595	+	9.90561i	0.259672	+	0.404058i	0.946471	−	0.322790i	$-0.104621\pi$
$601$	6.36595	+	9.90561i	0.259672	+	0.404058i	−0.686798	+	0.726848i	$0.740984\pi$
$602$	−4.83305	−	2.33351i	−0.196980	−	0.0951067i
$603$	−22.8218	+	10.4223i	−0.929374	+	0.424431i
$604$	4.67297	−	32.5012i	0.190140	−	1.32245i
$605$	8.63646	−	2.53589i	0.351122	−	0.103099i
$606$	3.15535	+	2.02782i	0.128177	+	0.0823746i
$607$	31.3726	+	14.3274i	1.27337	+	0.581530i	0.933377	−	0.358897i	$-0.116847\pi$
$607$	31.3726	+	14.3274i	1.27337	+	0.581530i	0.339996	+	0.940427i	$0.389574\pi$
$608$	8.14931	+	2.39285i	0.330498	+	0.0970430i
$609$	−10.3736	+	1.26544i	−0.420359	+	0.0512780i
$610$	1.22940	+	1.41881i	0.0497771	+	0.0574458i
$611$	−22.9269	−	6.73194i	−0.927522	−	0.272345i
$612$	0.130850	−	0.286521i	0.00528930	−	0.0115819i
$613$	22.3536	−	34.7829i	0.902855	−	1.40487i	−0.0114901	−	0.999934i	$-0.503657\pi$
$613$	22.3536	−	34.7829i	0.902855	−	1.40487i	0.914345	−	0.404936i	$-0.132706\pi$
$614$	−1.61375	−	5.49591i	−0.0651255	−	0.221797i
$615$	0.501959	−	3.49120i	0.0202409	−	0.140779i
$616$	7.38709	+	1.22408i	0.297634	+	0.0493195i
$617$	−5.39500	+	0.775685i	−0.217195	+	0.0312279i	−0.250053	−	0.968232i	$-0.580448\pi$
$617$	−5.39500	+	0.775685i	−0.217195	+	0.0312279i	0.0328583	+	0.999460i	$0.489539\pi$
$618$	−1.65968	−	2.58251i	−0.0667620	−	0.103884i
$619$	13.1505	−	15.1764i	0.528561	−	0.609992i	−0.427192	−	0.904161i	$-0.640497\pi$
$619$	13.1505	−	15.1764i	0.528561	−	0.609992i	0.955754	+	0.294168i	$0.0950427\pi$
$620$			0.0419632i			0.00168528i
$621$	10.7268	+	8.88672i	0.430451	+	0.356612i
$622$			1.41496i			0.0567347i
$623$	−39.0483	+	10.5629i	−1.56444	+	0.423195i
$624$	−2.77543	+	1.78366i	−0.111106	+	0.0714035i
$625$	−0.142315	−	0.989821i	−0.00569259	−	0.0395929i
$626$	6.15994	+	13.4884i	0.246201	+	0.539104i
$627$	0.164129	−	1.14154i	0.00655468	−	0.0455888i
$628$	28.7659	−	8.44644i	1.14789	−	0.337050i
$629$	0.0473400	−	0.0736624i	0.00188757	−	0.00293711i
$630$	−3.34147	+	2.04769i	−0.133127	+	0.0815817i
$631$	4.70902	−	16.0375i	0.187463	−	0.638441i	−0.811103	−	0.584904i	$-0.801132\pi$
$631$	4.70902	−	16.0375i	0.187463	−	0.638441i	0.998566	−	0.0535372i	$-0.0170496\pi$
$632$	7.77501	−	6.73709i	0.309273	−	0.267987i
$633$	0.405045	−	0.350973i	0.0160991	−	0.0139499i
$634$	0.757852	+	0.222526i	0.0300982	+	0.00883762i
$635$	−6.22145	+	13.6231i	−0.246891	+	0.540615i
$636$	−7.90136	−	5.07790i	−0.313309	−	0.201352i
$637$	15.3049	−	12.1546i	0.606401	−	0.481582i
$638$	5.90054	+	0.848370i	0.233605	+	0.0335873i
$639$	−12.8013	−	28.0310i	−0.506413	−	1.10889i
$640$	1.63926	+	11.4013i	0.0647975	+	0.450676i
$641$	−3.32527	−	5.17422i	−0.131340	−	0.204369i	0.769354	−	0.638822i	$-0.220578\pi$
$641$	−3.32527	−	5.17422i	−0.131340	−	0.204369i	−0.900695	+	0.434453i	$0.856942\pi$
$642$	−1.04638	+	1.20759i	−0.0412975	+	0.0476599i
$643$	−34.7646			−1.37098			−0.685490	−	0.728082i	$-0.740412\pi$
$643$	−34.7646			−1.37098			−0.685490	+	0.728082i	$0.740412\pi$
$644$	−18.2304	+	11.7348i	−0.718378	+	0.462414i
$645$	−1.90032			−0.0748250
$646$	−0.0383026	+	0.0442035i	−0.00150699	+	0.00173916i
$647$	6.59297	+	10.2589i	0.259197	+	0.403318i	0.946324	−	0.323219i	$-0.104765\pi$
$647$	6.59297	+	10.2589i	0.259197	+	0.403318i	−0.687128	+	0.726537i	$0.741129\pi$
$648$	−1.92700	−	13.4026i	−0.0756998	−	0.526504i
$649$	6.47247	+	14.1727i	0.254067	+	0.556328i
$650$	1.49164	+	0.214465i	0.0585068	+	0.00841200i
$651$	−0.0313184	−	0.00992908i	−0.00122747	−	0.000389151i
$652$	15.5606	+	10.0002i	0.609399	+	0.391637i
$653$	−11.5718	+	25.3386i	−0.452838	+	0.991578i	0.536223	+	0.844076i	$0.319850\pi$
$653$	−11.5718	+	25.3386i	−0.452838	+	0.991578i	−0.989062	+	0.147502i	$0.952877\pi$
$654$	2.50079	+	0.734297i	0.0977884	+	0.0287133i
$655$	−3.27235	+	2.83551i	−0.127861	+	0.110793i
$656$	−12.3197	+	10.6751i	−0.481005	+	0.416793i
$657$	−10.8409	+	36.9208i	−0.422945	+	1.44042i
$658$	−6.38575	−	10.4204i	−0.248943	−	0.406231i
$659$	1.00331	−	1.56118i	0.0390833	−	0.0608148i	−0.821162	−	0.570695i	$-0.806674\pi$
$659$	1.00331	−	1.56118i	0.0390833	−	0.0608148i	0.860245	+	0.509880i	$0.170310\pi$
$660$	1.17204	−	0.344141i	0.0456215	−	0.0133957i
$661$	2.70411	−	18.8075i	0.105178	−	0.731528i	−0.867174	−	0.498006i	$-0.834066\pi$
$661$	2.70411	−	18.8075i	0.105178	−	0.731528i	0.972352	−	0.233522i	$-0.0750251\pi$
$662$	1.34877	+	2.95340i	0.0524215	+	0.114787i
$663$	−0.0134959	−	0.0938663i	−0.000524139	−	0.00364547i
$664$	−12.0992	+	7.77568i	−0.469540	+	0.301755i
$665$	−4.12012	+	1.11453i	−0.159771	+	0.0432196i
$666$		−	1.93085i		−	0.0748188i
$667$	−31.0603	+	20.9473i	−1.20266	+	0.811081i
$668$			3.60009i			0.139292i
$669$	−6.85160	+	7.90716i	−0.264898	+	0.305709i
$670$	2.66774	+	4.15109i	0.103064	+	0.160370i
$671$	−4.86759	+	0.699854i	−0.187911	+	0.0270176i
$672$	−6.94848	−	1.15140i	−0.268043	−	0.0444161i
$673$	−1.45778	+	10.1391i	−0.0561933	+	0.390833i	0.942243	+	0.334930i	$0.108713\pi$
$673$	−1.45778	+	10.1391i	−0.0561933	+	0.390833i	−0.998436	+	0.0559027i	$0.982196\pi$
$674$	−4.19584	−	14.2897i	−0.161618	−	0.550419i
$675$	−1.57032	+	2.44346i	−0.0604416	+	0.0940490i
$676$	−3.69431	+	8.08941i	−0.142089	+	0.311131i
$677$	15.2986	+	4.49208i	0.587974	+	0.172645i	0.562169	−	0.827022i	$-0.309967\pi$
$677$	15.2986	+	4.49208i	0.587974	+	0.172645i	0.0258046	+	0.999667i	$0.491785\pi$
$678$	−0.494190	−	0.570325i	−0.0189792	−	0.0219032i
$679$	−3.66088	−	30.0106i	−0.140492	−	1.15170i
$680$	−0.129016	−	0.0378825i	−0.00494754	−	0.00145273i
$681$	5.92796	+	2.70721i	0.227160	+	0.103740i
$682$	0.0157661	+	0.0101322i	0.000603714	+	0.000387983i
$683$	−33.2976	+	9.77705i	−1.27410	+	0.374109i	−0.847723	−	0.530439i	$-0.822027\pi$
$683$	−33.2976	+	9.77705i	−1.27410	+	0.374109i	−0.426373	+	0.904547i	$0.640209\pi$
$684$	1.07657	−	7.48771i	0.0411637	−	0.286300i
$685$	−2.27538	+	1.03913i	−0.0869378	+	0.0397032i
$686$	9.97558	+	0.641705i	0.380869	+	0.0245004i
$687$	−3.64818	−	5.67668i	−0.139187	−	0.216579i
$688$	6.63758	+	5.75150i	0.253055	+	0.219274i
$689$	30.3524			1.15634
$690$	0.683069	−	1.11648i	0.0260040	−	0.0425035i
$691$		−	1.93749i		−	0.0737055i	−0.999321	−	0.0368527i	$-0.988267\pi$
$691$		−	1.93749i		−	0.0737055i	0.999321	−	0.0368527i	$-0.0117332\pi$
$692$	−11.0198	−	9.54873i	−0.418911	−	0.362988i
$693$	0.219801	−	10.2633i	0.00834956	−	0.389869i
$694$	−0.143545	−	0.998380i	−0.00544891	−	0.0378980i
$695$	18.6061	−	8.49711i	0.705768	−	0.322314i
$696$	−7.82620	−	1.12524i	−0.296651	−	0.0426520i
$697$	−0.132011	−	0.449589i	−0.00500028	−	0.0170294i
$698$	5.36565	−	8.34911i	0.203093	−	0.316019i
$699$	−2.86503	−	1.30842i	−0.108365	−	0.0494889i
$700$	−2.88662	−	3.47915i	−0.109104	−	0.131499i
$701$	−22.5810	+	19.5666i	−0.852874	+	0.739020i	−0.967090	−	0.254436i	$-0.918110\pi$
$701$	−22.5810	+	19.5666i	−0.852874	+	0.739020i	0.114215	+	0.993456i	$0.463565\pi$
$702$	−2.86638	−	3.30798i	−0.108185	−	0.124852i
$703$	0.592457	−	2.01772i	0.0223449	−	0.0760998i
$704$	−2.35635	−	1.07611i	−0.0888081	−	0.0405573i
$705$	−3.64042	−	2.33956i	−0.137106	−	0.0881128i
$706$	−4.91404	−	16.7357i	−0.184942	−	0.629856i
$707$	26.9641	+	24.3947i	1.01409	+	0.917456i
$708$	−3.95521	−	8.66071i	−0.148646	−	0.325489i
$709$	−44.8882	+	6.45394i	−1.68581	+	0.242383i	−0.917512	−	0.397709i	$-0.869805\pi$
$709$	−44.8882	+	6.45394i	−1.68581	+	0.242383i	−0.768299	+	0.640092i	$0.778896\pi$
$710$	−5.09860	+	3.27667i	−0.191347	+	0.122971i
$711$	−10.6594	−	9.23638i	−0.399757	−	0.346391i
$712$	−30.6052			−1.14698
$713$	−0.116182	+	0.0193389i	−0.00435104	+	0.000724249i
$714$	0.0270905	−	0.0402328i	0.00101384	−	0.00150567i
$715$	−2.58504	+	2.98329i	−0.0966749	+	0.111569i
$716$	5.07493	−	3.26146i	0.189659	−	0.121886i
$717$	−13.6263	+	1.95916i	−0.508882	+	0.0731662i
$718$	−9.69997	+	4.42983i	−0.362000	+	0.165320i
$719$	10.8106	+	1.55433i	0.403166	+	0.0579666i	0.340915	−	0.940094i	$-0.389263\pi$
$719$	10.8106	+	1.55433i	0.403166	+	0.0579666i	0.0622509	+	0.998061i	$0.480172\pi$
$720$	6.15352	−	1.80684i	0.229328	−	0.0673368i
$721$	−11.7804	−	27.3293i	−0.438724	−	1.01780i
$722$	3.67661	−	8.05065i	0.136829	−	0.299614i
$723$	1.34907	−	4.59452i	0.0501725	−	0.170872i
$724$	−12.4687	−	14.3896i	−0.463394	−	0.534785i
$725$	−5.11560	−	5.90371i	−0.189989	−	0.219258i
$726$	−0.692083	+	2.35702i	−0.0256856	+	0.0874772i
$727$	−21.4182	+	46.8994i	−0.794359	+	1.73940i	−0.130628	+	0.991431i	$0.541699\pi$
$727$	−21.4182	+	46.8994i	−0.794359	+	1.73940i	−0.663731	+	0.747971i	$0.731028\pi$
$728$	13.5790	−	5.85325i	0.503270	−	0.216936i
$729$	−13.5841	+	3.98866i	−0.503116	+	0.147728i
$730$	7.49097	+	1.07704i	0.277253	+	0.0398630i
$731$	−0.229640	+	0.104873i	−0.00849354	+	0.00387887i
$732$	2.97450	−	0.427668i	0.109941	−	0.0158071i
$733$	40.6883	−	26.1488i	1.50285	−	0.965826i	0.508348	−	0.861152i	$-0.330256\pi$
$733$	40.6883	−	26.1488i	1.50285	−	0.965826i	0.994507	−	0.104675i	$-0.0333801\pi$
$734$	5.39617	−	6.22751i	0.199176	−	0.229862i
$735$	3.27961	−	1.33116i	0.120970	−	0.0491005i
$736$	−24.0630	+	7.64815i	−0.886972	+	0.281915i
$737$	−12.9255			−0.476116
$738$	−7.80873	−	6.76630i	−0.287443	−	0.249071i
$739$	−28.5313	+	18.3359i	−1.04954	+	0.674499i	−0.947328	−	0.320264i	$-0.896228\pi$
$739$	−28.5313	+	18.3359i	−1.04954	+	0.674499i	−0.102212	+	0.994763i	$0.532592\pi$
$740$	2.20465	−	0.316981i	0.0810447	−	0.0116525i
$741$	−0.946097	−	2.07166i	−0.0347557	−	0.0761045i
$742$	11.5121	+	10.4151i	0.422623	+	0.382352i
$743$	−6.95206	−	23.6765i	−0.255046	−	0.868608i	−0.983097	−	0.183085i	$-0.941392\pi$
$743$	−6.95206	−	23.6765i	−0.255046	−	0.868608i	0.728051	−	0.685523i	$-0.240427\pi$
$744$	−0.0209113	−	0.0134389i	−0.000766647	−	0.000492694i
$745$	−18.9876	−	8.67133i	−0.695650	−	0.317693i
$746$	−0.552613	+	1.88203i	−0.0202326	+	0.0689059i
$747$	12.9124	+	14.9017i	0.472441	+	0.545226i
$748$	0.122640	−	0.106268i	0.00448417	−	0.00388555i
$749$	−11.9214	+	9.89110i	−0.435599	+	0.361413i
$750$	0.248252	+	0.113373i	0.00906489	+	0.00413980i
$751$	26.3424	−	40.9896i	0.961249	−	1.49573i	0.0953931	−	0.995440i	$-0.469589\pi$
$751$	26.3424	−	40.9896i	0.961249	−	1.49573i	0.865856	−	0.500293i	$-0.166774\pi$
$752$	5.63466	+	19.1899i	0.205475	+	0.699783i
$753$	9.39344	+	1.35057i	0.342316	+	0.0492176i
$754$	10.7083	−	4.89030i	0.389972	−	0.178094i
$755$	2.73485	+	19.0213i	0.0995312	+	0.692255i
$756$	−0.281147	+	13.1277i	−0.0102252	+	0.477450i
$757$	18.0896	+	15.6747i	0.657478	+	0.569708i	0.918401	−	0.395652i	$-0.129481\pi$
$757$	18.0896	+	15.6747i	0.657478	+	0.569708i	−0.260923	+	0.965360i	$0.584027\pi$
$758$		−	1.74546i		−	0.0633978i
$759$	1.49295	+	3.08637i	0.0541906	+	0.112028i
$760$	−3.22926			−0.117137
$761$	−0.848545	−	0.735269i	−0.0307597	−	0.0266535i	0.639345	−	0.768920i	$-0.279205\pi$
$761$	−0.848545	−	0.735269i	−0.0307597	−	0.0266535i	−0.670105	+	0.742266i	$0.733751\pi$
$762$	−2.20976	−	3.43846i	−0.0800513	−	0.124562i
$763$	22.7538	+	10.9861i	0.823742	+	0.397722i
$764$	2.55457	−	1.16663i	0.0924211	−	0.0422073i
$765$	−0.0262350	+	0.182469i	−0.000948530	+	0.00659717i
$766$	−19.0628	+	5.59735i	−0.688768	+	0.202241i
$767$	25.8841	+	16.6347i	0.934620	+	0.600644i
$768$	−1.17408	−	0.536186i	−0.0423661	−	0.0193479i
$769$	−40.1402	−	11.7862i	−1.44749	−	0.425022i	−0.538781	−	0.842446i	$-0.681115\pi$
$769$	−40.1402	−	11.7862i	−1.44749	−	0.425022i	−0.908712	+	0.417424i	$0.862933\pi$
$770$	−2.00414	+	0.244478i	−0.0722244	+	0.00881039i
$771$	−8.02997	−	9.26708i	−0.289192	−	0.333746i
$772$	10.1561	+	2.98210i	0.365527	+	0.107328i
$773$	−6.54024	+	14.3211i	−0.235236	+	0.515095i	−0.990028	−	0.140869i	$-0.955010\pi$
$773$	−6.54024	+	14.3211i	−0.235236	+	0.515095i	0.754792	+	0.655964i	$0.227738\pi$
$774$	−3.00968	+	4.68315i	−0.108181	+	0.168332i
$775$	−0.00691904	−	0.0235641i	−0.000248539	−	0.000846447i
$776$	3.25529	−	22.6411i	0.116858	−	0.812767i
$777$	−0.285079	+	1.72040i	−0.0102272	+	0.0617192i
$778$	11.8689	−	1.70648i	0.425519	−	0.0611804i
$779$	−6.08391	−	9.46675i	−0.217979	−	0.339181i
$780$	1.57967	−	1.82304i	0.0565613	−	0.0652752i
$781$		−	15.8758i		−	0.568082i
$782$	0.0209289	−	0.172615i	0.000748416	−	0.00617269i
$783$			22.6896i			0.810860i
$784$	−15.4842	−	5.27648i	−0.553006	−	0.188446i
$785$	−14.7606	+	9.48606i	−0.526828	+	0.338572i
$786$	−0.168175	−	1.16968i	−0.00599859	−	0.0417211i
$787$	6.30263	+	13.8008i	0.224664	+	0.491946i	0.988076	−	0.153966i	$-0.0492045\pi$
$787$	6.30263	+	13.8008i	0.224664	+	0.491946i	−0.763412	+	0.645912i	$0.776477\pi$
$788$	3.79319	−	26.3822i	0.135127	−	0.939829i
$789$	8.61822	−	2.53054i	0.306817	−	0.0900895i
$790$	−1.49973	+	2.33363i	−0.0533580	+	0.0830267i
$791$	−3.82258	−	6.23778i	−0.135915	−	0.221790i
$792$	2.18816	−	7.45220i	0.0777530	−	0.264803i
$793$	−7.33928	+	6.35952i	−0.260625	+	0.225833i
$794$	3.99714	−	3.46354i	0.141853	−	0.122916i
$795$	5.27420	+	1.54865i	0.187057	+	0.0549248i
$796$	8.36070	−	18.3074i	0.296337	−	0.648888i
$797$	−11.0925	−	7.12874i	−0.392918	−	0.252513i	0.329233	−	0.944249i	$-0.393210\pi$
$797$	−11.0925	−	7.12874i	−0.392918	−	0.252513i	−0.722151	+	0.691736i	$0.756846\pi$
$798$	0.352034	−	1.11039i	0.0124619	−	0.0393073i
$799$	−0.569033	−	0.0818146i	−0.0201309	−	0.00289439i
$800$	−2.18708	−	4.78904i	−0.0773251	−	0.169318i
$801$	5.97139	+	41.5319i	0.210989	+	1.46746i
$802$	−3.42902	−	5.33566i	−0.121083	−	0.188409i
$803$	−12.9820	+	14.9820i	−0.458125	+	0.528705i
$804$	7.89853			0.278560
$805$	8.30226	−	9.59544i	0.292616	−	0.338195i
$806$	0.0370096			0.00130361
$807$	−4.43794	+	5.12166i	−0.156223	+	0.180291i
$808$	14.8734	+	23.1434i	0.523243	+	0.814181i
$809$	−0.0140092	−	0.0974358i	−0.000492536	−	0.00342566i	0.989574	−	0.144027i	$-0.0460054\pi$
$809$	−0.0140092	−	0.0974358i	−0.000492536	−	0.00342566i	−0.990066	+	0.140602i	$0.955096\pi$
$810$	1.51668	+	3.32108i	0.0532909	+	0.116691i
$811$	−22.2050	−	3.19260i	−0.779723	−	0.112107i	−0.259050	−	0.965864i	$-0.583410\pi$
$811$	−22.2050	−	3.19260i	−0.779723	−	0.112107i	−0.520672	+	0.853757i	$0.674319\pi$
$812$	−33.6635	−	10.6725i	−1.18136	−	0.374533i
$813$	−10.8369	−	6.96444i	−0.380066	−	0.244253i
$814$	0.413232	−	0.904851i	0.0144838	−	0.0317150i
$815$	−10.3868	−	3.04983i	−0.363833	−	0.106831i
$816$	−0.0599871	+	0.0519792i	−0.00209997	+	0.00181963i
$817$	−4.58205	+	3.97037i	−0.160306	+	0.138906i
$818$	3.07276	−	10.4649i	0.107437	−	0.365896i
$819$	−10.5924	−	17.2849i	−0.370128	−	0.603984i
$820$	6.44387	−	10.0269i	0.225030	−	0.350153i
$821$	12.6285	−	3.70806i	0.440738	−	0.129412i	−0.0538325	−	0.998550i	$-0.517144\pi$
$821$	12.6285	−	3.70806i	0.440738	−	0.129412i	0.494570	+	0.869138i	$0.335326\pi$
$822$	0.0971552	−	0.675729i	0.00338868	−	0.0235688i
$823$	−18.2277	−	39.9130i	−0.635376	−	1.39128i	−0.903790	−	0.427976i	$-0.859227\pi$
$823$	−18.2277	−	39.9130i	−0.635376	−	1.39128i	0.268414	−	0.963304i	$-0.413501\pi$
$824$	−3.20438	−	22.2870i	−0.111630	−	0.776403i
$825$	−0.601404	+	0.386499i	−0.0209382	+	0.0134562i
$826$	4.10933	+	15.1911i	0.142982	+	0.528566i
$827$			19.6666i			0.683875i	0.939723	+	0.341938i	$0.111083\pi$
$827$			19.6666i			0.683875i	−0.939723	+	0.341938i	$0.888917\pi$
$828$	9.79267	+	20.2444i	0.340319	+	0.703541i
$829$		−	5.01703i		−	0.174249i	−0.996197	−	0.0871244i	$-0.972232\pi$
$829$		−	5.01703i		−	0.174249i	0.996197	−	0.0871244i	$-0.0277678\pi$
$830$	2.53957	−	2.93082i	0.0881496	−	0.101730i
$831$	−0.557968	−	0.868214i	−0.0193557	−	0.0301180i
$832$	−5.06347	+	0.728017i	−0.175544	+	0.0252395i
$833$	0.322855	−	0.341853i	0.0111863	−	0.0118445i
$834$	−0.794450	+	5.52552i	−0.0275096	+	0.191333i
$835$	−0.593596	−	2.02160i	−0.0205422	−	0.0699604i
$836$	2.10700	−	3.27855i	0.0728720	−	0.113391i
$837$	−0.0296326	+	0.0648864i	−0.00102425	+	0.00224280i
$838$	17.2880	+	5.07621i	0.597204	+	0.175355i
$839$	−8.67915	−	10.0163i	−0.299638	−	0.345800i	0.585887	−	0.810393i	$-0.300746\pi$
$839$	−8.67915	−	10.0163i	−0.299638	−	0.345800i	−0.885525	+	0.464593i	$0.846201\pi$
$840$	2.65820	−	0.324264i	0.0917167	−	0.0111882i
$841$	−30.7260	−	9.02197i	−1.05952	−	0.311102i
$842$	7.68076	+	3.50768i	0.264696	+	0.120883i
$843$	−1.04587	−	0.672141i	−0.0360218	−	0.0231498i
$844$	1.73775	−	0.510249i	0.0598157	−	0.0175635i
$845$	0.740698	−	5.15167i	0.0254808	−	0.177223i
$846$	−11.5312	+	5.26613i	−0.396451	+	0.181053i
$847$	−10.3545	+	21.4457i	−0.355784	+	0.736883i
$848$	−13.7350	−	21.3721i	−0.471663	−	0.733921i
$849$	−3.72163	−	3.22481i	−0.127726	−	0.110675i
$850$	0.0362563			0.00124358
$851$	1.89364	+	5.95785i	0.0649131	+	0.204233i
$852$			9.70144i			0.332366i
$853$	26.7729	+	23.1988i	0.916685	+	0.794312i	0.979024	−	0.203743i	$-0.0653107\pi$
$853$	26.7729	+	23.1988i	0.916685	+	0.794312i	−0.0623394	+	0.998055i	$0.519856\pi$
$854$	−4.96586	−	0.106350i	−0.169928	−	0.00363924i
$855$	0.630061	+	4.38217i	0.0215476	+	0.149867i
$856$	−10.6607	+	4.86860i	−0.364377	+	0.166405i
$857$	33.4621	+	4.81112i	1.14304	+	0.164345i	0.687716	−	0.725980i	$-0.258613\pi$
$857$	33.4621	+	4.81112i	1.14304	+	0.164345i	0.455327	+	0.890324i	$0.349522\pi$
$858$	−0.303517	−	1.03368i	−0.0103619	−	0.0352893i
$859$	−0.761725	+	1.18527i	−0.0259897	+	0.0404408i	−0.854005	−	0.520264i	$-0.825833\pi$
$859$	−0.761725	+	1.18527i	−0.0259897	+	0.0404408i	0.828016	+	0.560705i	$0.189470\pi$
$860$	−5.84134	−	2.66765i	−0.199188	−	0.0909661i
$861$	5.95865	+	7.18176i	0.203070	+	0.244754i
$862$	−2.81912	+	2.44278i	−0.0960197	+	0.0832015i
$863$	8.57751	+	9.89898i	0.291982	+	0.336965i	0.882721	−	0.469898i	$-0.155709\pi$
$863$	8.57751	+	9.89898i	0.291982	+	0.336965i	−0.590739	+	0.806863i	$0.701164\pi$
$864$	−4.30823	+	14.6725i	−0.146569	+	0.499168i
$865$	7.76252	+	3.54502i	0.263934	+	0.120534i
$866$	6.68971	+	4.29921i	0.227326	+	0.146093i
$867$	2.42109	+	8.24547i	0.0822244	+	0.280031i
$868$	−0.0823305	−	0.0744852i	−0.00279448	−	0.00252819i
$869$	−3.01855	−	6.60970i	−0.102397	−	0.224219i
$870$	2.11024	−	0.303407i	0.0715438	−	0.0102865i
$871$	−21.4730	+	13.7998i	−0.727583	+	0.467589i
$872$	14.4475	+	12.5188i	0.489253	+	0.423940i
$873$	−31.3595			−1.06136
$874$	−0.685658	−	4.11920i	−0.0231927	−	0.139334i
$875$	2.19461	+	1.47773i	0.0741914	+	0.0499564i
$876$	7.93308	−	9.15526i	0.268034	−	0.309328i
$877$	−30.4133	+	19.5455i	−1.02699	+	0.660003i	−0.941735	−	0.336356i	$-0.890805\pi$
$877$	−30.4133	+	19.5455i	−1.02699	+	0.660003i	−0.0852503	+	0.996360i	$0.527169\pi$
$878$	−2.88178	+	0.414338i	−0.0972555	+	0.0139832i
$879$	6.53572	−	2.98476i	0.220444	−	0.100674i
$880$	3.27041	+	0.470214i	0.110245	+	0.0158509i
$881$	8.15413	−	2.39427i	0.274719	−	0.0806649i	−0.141471	−	0.989942i	$-0.545183\pi$
$881$	8.15413	−	2.39427i	0.274719	−	0.0806649i	0.416190	+	0.909277i	$0.363365\pi$
$882$	1.91365	−	10.1905i	0.0644361	−	0.343133i
$883$	21.2089	−	46.4409i	0.713735	−	1.56286i	−0.108746	−	0.994070i	$-0.534683\pi$
$883$	21.2089	−	46.4409i	0.713735	−	1.56286i	0.822481	−	0.568793i	$-0.192589\pi$
$884$	0.0902838	−	0.307479i	0.00303657	−	0.0103416i
$885$	3.64902	+	4.21120i	0.122661	+	0.141558i
$886$	13.2932	+	15.3412i	0.446595	+	0.515398i
$887$	−15.0044	+	51.1004i	−0.503799	+	1.71578i	0.177808	+	0.984065i	$0.443099\pi$
$887$	−15.0044	+	51.1004i	−0.503799	+	1.71578i	−0.681607	+	0.731718i	$0.738719\pi$
$888$	−0.548091	+	1.20015i	−0.0183927	+	0.0402744i
$889$	−15.6849	−	36.3874i	−0.526055	−	1.22040i
$890$	7.91805	−	2.32495i	0.265414	−	0.0779325i
$891$	−9.46634	−	1.36105i	−0.317134	−	0.0455970i
$892$	−32.1609	+	14.6874i	−1.07683	+	0.491771i
$893$	−13.6659	+	1.96486i	−0.457311	+	0.0657515i
$894$	4.79245	−	3.07992i	0.160284	−	0.103008i
$895$	−2.31202	+	2.66822i	−0.0772824	+	0.0891886i
$896$	−25.2787	−	17.0213i	−0.844503	−	0.568642i
$897$	5.77537	+	3.53341i	0.192834	+	0.117977i
$898$	8.87189			0.296059
$899$	−0.144989	−	0.125633i	−0.00483564	−	0.00419011i
$900$	−3.94478	+	2.53516i	−0.131493	+	0.0845053i
$901$	0.722815	−	0.103925i	0.0240805	−	0.00346225i
$902$	−2.21130	−	4.84208i	−0.0736283	−	0.161223i
$903$	3.37309	−	3.72837i	0.112249	−	0.124072i
$904$	−1.55941	−	5.31087i	−0.0518653	−	0.176637i
$905$	9.37427	+	6.02448i	0.311611	+	0.200261i
$906$	−4.77063	−	2.17867i	−0.158494	−	0.0723816i
$907$	5.12219	−	17.4446i	0.170080	−	0.579238i	−0.829699	−	0.558210i	$-0.811488\pi$
$907$	5.12219	−	17.4446i	0.170080	−	0.579238i	0.999779	−	0.0210272i	$-0.00669365\pi$
$908$	14.4214	+	16.6432i	0.478592	+	0.552325i
$909$	28.5041	−	24.6990i	0.945422	−	0.819212i
$910$	−3.06845	+	2.54587i	−0.101718	+	0.0843946i
$911$	−5.25016	−	2.39767i	−0.173945	−	0.0794382i	0.326539	−	0.945184i	$-0.394118\pi$
$911$	−5.25016	−	2.39767i	−0.173945	−	0.0794382i	−0.500485	+	0.865745i	$0.666845\pi$
$912$	−1.03060	+	1.60364i	−0.0341265	+	0.0531019i
$913$	2.86193	+	9.74685i	0.0947162	+	0.322574i
$914$	4.75719	+	0.683981i	0.157354	+	0.0226241i
$915$	−1.59979	+	0.730600i	−0.0528874	+	0.0241529i
$916$	−3.24517	−	22.5707i	−0.107224	−	0.745756i
$917$	0.245288	−	11.4533i	0.00810012	−	0.378222i
$918$	−0.0795866	−	0.0689622i	−0.00262675	−	0.00227609i
$919$		−	33.2639i		−	1.09727i	−0.836061	−	0.548637i	$-0.815147\pi$
$919$		−	33.2639i		−	1.09727i	0.836061	−	0.548637i	$-0.184853\pi$
$920$	7.95913	−	5.36768i	0.262405	−	0.176967i
$921$	5.36599			0.176815
$922$	12.8635	+	11.1463i	0.423638	+	0.367085i
$923$	−16.9498	−	26.3743i	−0.557908	−	0.868122i
$924$	−1.40519	+	2.91035i	−0.0462273	+	0.0957436i
$925$	−1.18574	+	0.541509i	−0.0389869	+	0.0178047i
$926$	−2.69515	+	18.7452i	−0.0885680	+	0.616004i
$927$	−29.6186	+	8.69682i	−0.972804	+	0.285641i
$928$	−34.5985	−	22.2351i	−1.13575	−	0.729903i
$929$	27.9893	+	12.7823i	0.918298	+	0.419373i	0.817759	−	0.575561i	$-0.195216\pi$
$929$	27.9893	+	12.7823i	0.918298	+	0.419373i	0.100539	+	0.994933i	$0.467943\pi$
$930$	0.00643099	+	0.00188831i	0.000210881	+	6.19201e-5i
$931$	5.12659	−	10.0618i	0.168017	−	0.329764i
$932$	−6.97000	−	8.04381i	−0.228310	−	0.263484i
$933$	−1.27186	−	0.373450i	−0.0416387	−	0.0122262i
$934$	−1.10812	+	2.42644i	−0.0362587	+	0.0793956i
$935$	−0.0513457	+	0.0798954i	−0.00167918	+	0.00261286i
$936$	−4.32114	−	14.7164i	−0.141241	−	0.481022i
$937$	4.22435	−	29.3810i	0.138004	−	0.959836i	−0.796692	−	0.604386i	$-0.793418\pi$
$937$	4.22435	−	29.3810i	0.138004	−	0.959836i	0.934695	−	0.355450i	$-0.115672\pi$
$938$	−12.8796	−	2.13421i	−0.420533	−	0.0696844i
$939$	−13.7500	+	1.97695i	−0.448714	+	0.0645154i
$940$	−7.90595	−	12.3019i	−0.257864	−	0.401243i
$941$	37.3060	−	43.0534i	1.21614	−	1.40350i	0.327529	−	0.944841i	$-0.393784\pi$
$941$	37.3060	−	43.0534i	1.21614	−	1.40350i	0.888612	−	0.458660i	$-0.151670\pi$
$942$		−	4.78856i		−	0.156020i
$943$	30.7306	+	13.2200i	1.00073	+	0.430501i
$944$		−	25.7533i		−	0.838199i
$945$	−2.00666	−	7.41810i	−0.0652768	−	0.241311i
$946$	−2.41269	+	1.55054i	−0.0784432	+	0.0504124i
$947$	−2.41431	−	16.7919i	−0.0784546	−	0.545663i	−0.990705	−	0.136030i	$-0.956566\pi$
$947$	−2.41431	−	16.7919i	−0.0784546	−	0.545663i	0.912250	−	0.409634i	$-0.134343\pi$
$948$	1.84458	+	4.03907i	0.0599093	+	0.131183i
$949$	−5.57136	+	38.7497i	−0.180854	+	1.25787i
$950$	0.835460	−	0.245313i	0.0271059	−	0.00795901i
$951$	−0.400040	+	0.622475i	−0.0129722	+	0.0201851i
$952$	0.303330	−	0.185884i	0.00983097	−	0.00602452i
$953$	−12.0487	+	41.0340i	−0.390295	+	1.32922i	0.496892	+	0.867812i	$0.334474\pi$
$953$	−12.0487	+	41.0340i	−0.390295	+	1.32922i	−0.887187	+	0.461410i	$0.847344\pi$
$954$	12.1696	−	10.5450i	0.394006	−	0.341409i
$955$	−1.24214	+	1.07632i	−0.0401947	+	0.0348289i
$956$	−44.6356	−	13.1062i	−1.44362	−	0.423885i
$957$	−2.31990	+	5.07987i	−0.0749917	+	0.164209i
$958$	−12.0392	−	7.73715i	−0.388970	−	0.249976i
$959$	2.00009	−	6.30870i	0.0645862	−	0.203719i
$960$	−0.917002	−	0.131845i	−0.0295961	−	0.00425528i
$961$	12.8776	+	28.1980i	0.415407	+	0.909614i
$962$	−0.279563	−	1.94440i	−0.00901348	−	0.0626901i
$963$	8.68681	+	13.5169i	0.279928	+	0.435577i
$964$	10.5966	−	12.2291i	0.341294	−	0.393874i
$965$	−6.19478			−0.199417
$966$	0.978036	+	3.32192i	0.0314678	+	0.106881i
$967$	35.9565			1.15628			0.578142	−	0.815936i	$-0.303778\pi$
$967$	35.9565			1.15628			0.578142	+	0.815936i	$0.303778\pi$
$968$	−11.7991	+	13.6169i	−0.379238	+	0.437664i
$969$	−0.0296237	−	0.0460954i	−0.000951651	−	0.00148080i
$970$	0.877751	+	6.10489i	0.0281829	+	0.196016i
$971$	2.10236	+	4.60353i	0.0674680	+	0.147734i	0.940362	−	0.340176i	$-0.110487\pi$
$971$	2.10236	+	4.60353i	0.0674680	+	0.147734i	−0.872894	+	0.487910i	$0.837759\pi$
$972$	20.5220	+	2.95062i	0.658243	+	0.0946410i
$973$	−16.3550	+	51.5870i	−0.524316	+	1.65380i
$974$	−0.663118	−	0.426160i	−0.0212477	−	0.0136550i
$975$	−0.586462	+	1.28417i	−0.0187818	+	0.0411264i
$976$	7.79910	+	2.29002i	0.249643	+	0.0733018i
$977$	20.9809	−	18.1801i	0.671240	−	0.581632i	−0.251124	−	0.967955i	$-0.580800\pi$
$977$	20.9809	−	18.1801i	0.671240	−	0.581632i	0.922364	+	0.386322i	$0.126255\pi$
$978$	2.23277	−	1.93471i	0.0713962	−	0.0618652i
$979$	−6.09011	+	20.7410i	−0.194641	+	0.662886i
$980$	11.9498	+	0.512075i	0.381721	+	0.0163576i
$981$	14.1694	−	22.0481i	0.452395	−	0.703940i
$982$	10.7056	−	3.14345i	0.341630	−	0.100312i
$983$	6.22152	−	43.2716i	0.198436	−	1.38015i	−0.610390	−	0.792101i	$-0.708987\pi$
$983$	6.22152	−	43.2716i	0.198436	−	1.38015i	0.808826	−	0.588049i	$-0.200104\pi$
$984$	2.93297	+	6.42230i	0.0934995	+	0.204735i
$985$	2.21996	+	15.4402i	0.0707338	+	0.491965i
$986$	0.238263	−	0.153123i	0.00758785	−	0.00487642i
$987$	11.0519	−	2.98965i	0.351787	−	0.0951617i
$988$		−	7.69615i		−	0.244847i
$989$	4.69380	−	17.4021i	0.149254	−	0.553353i
$990$			2.09423i			0.0665589i
$991$	−14.0293	+	16.1907i	−0.445656	+	0.514314i	−0.933481	−	0.358627i	$-0.883245\pi$
$991$	−14.0293	+	16.1907i	−0.445656	+	0.514314i	0.487825	+	0.872941i	$0.337790\pi$
$992$	−0.0699038	−	0.108772i	−0.00221945	−	0.00345353i
$993$	−3.01068	+	0.432870i	−0.0955410	+	0.0137367i
$994$	2.62136	−	15.8195i	0.0831445	−	0.501763i
$995$	−1.67630	+	11.6589i	−0.0531422	+	0.369612i
$996$	−1.74888	−	5.95613i	−0.0554153	−	0.188727i
$997$	−1.22353	+	1.90385i	−0.0387495	+	0.0602954i	−0.860088	−	0.510146i	$-0.829591\pi$
$997$	−1.22353	+	1.90385i	−0.0387495	+	0.0602954i	0.821338	+	0.570441i	$0.193228\pi$
$998$	4.82864	−	10.5732i	0.152848	−	0.334690i
$999$	3.63283	+	1.06669i	0.114938	+	0.0337487i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	805.2.bb.b.76.19	yes	320
7.6	odd	2		805.2.bb.a.76.19	✓	320
23.10	odd	22		805.2.bb.a.286.19	yes	320
161.125	even	22	inner	805.2.bb.b.286.19	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
805.2.bb.a.76.19	✓	320	7.6	odd	2
805.2.bb.a.286.19	yes	320	23.10	odd	22
805.2.bb.b.76.19	yes	320	1.1	even	1	trivial
805.2.bb.b.286.19	yes	320	161.125	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 805 = 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	805.bb (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.353457 - 0.407911i) q^{2} +(0.273369 + 0.425370i) q^{3} +(0.243170 + 1.69128i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.270137 + 0.0388399i) q^{6} +(2.52204 + 0.799578i) q^{7} +(1.68397 + 1.08222i) q^{8} +(1.14004 - 2.49633i) q^{9} +O(q^{10})\)	\(q+(0.353457 - 0.407911i) q^{2} +(0.273369 + 0.425370i) q^{3} +(0.243170 + 1.69128i) q^{4} +(-0.415415 - 0.909632i) q^{5} +(0.270137 + 0.0388399i) q^{6} +(2.52204 + 0.799578i) q^{7} +(1.68397 + 1.08222i) q^{8} +(1.14004 - 2.49633i) q^{9} +(-0.517881 - 0.152063i) q^{10} +(1.06851 - 0.925867i) q^{11} +(-0.652946 + 0.565781i) q^{12} +(0.786602 - 2.67892i) q^{13} +(1.21759 - 0.746151i) q^{14} +(0.273369 - 0.425370i) q^{15} +(-2.24227 + 0.658389i) q^{16} +(0.00955973 - 0.0664893i) q^{17} +(-0.615328 - 1.34738i) q^{18} +(-0.229586 - 1.59681i) q^{19} +(1.43743 - 0.923780i) q^{20} +(0.349330 + 1.29138i) q^{21} -0.763111i q^{22} +(3.22008 + 3.55402i) q^{23} +1.01215i q^{24} +(-0.654861 + 0.755750i) q^{25} +(-0.814732 - 1.26775i) q^{26} +(2.87499 - 0.413361i) q^{27} +(-0.739030 + 4.45992i) q^{28} +(-1.11173 + 7.73222i) q^{29} +(-0.0768891 - 0.261860i) q^{30} +(-0.0132775 + 0.0206602i) q^{31} +(-2.18708 + 4.78904i) q^{32} +(0.685932 + 0.201408i) q^{33} +(-0.0237428 - 0.0274007i) q^{34} +(-0.320371 - 2.62628i) q^{35} +(4.49923 + 1.32109i) q^{36} +(1.18574 + 0.541509i) q^{37} +(-0.732505 - 0.470752i) q^{38} +(1.35456 - 0.397736i) q^{39} +(0.284877 - 1.98136i) q^{40} +(6.34518 - 2.89775i) q^{41} +(0.650241 + 0.313951i) q^{42} +(-2.03187 - 3.16165i) q^{43} +(1.82573 + 1.58201i) q^{44} -2.74433 q^{45} +(2.58789 - 0.0573112i) q^{46} -8.55825i q^{47} +(-0.893024 - 0.773809i) q^{48} +(5.72135 + 4.03313i) q^{49} +(0.0768136 + 0.534250i) q^{50} +(0.0308959 - 0.0141097i) q^{51} +(4.72209 + 0.678935i) q^{52} +(3.06276 + 10.4308i) q^{53} +(0.847571 - 1.31885i) q^{54} +(-1.28607 - 0.587330i) q^{55} +(3.38171 + 4.07586i) q^{56} +(0.616472 - 0.534176i) q^{57} +(2.76111 + 3.18649i) q^{58} +(-3.10474 + 10.5738i) q^{59} +(0.785896 + 0.358907i) q^{60} +(-2.92607 - 1.88047i) q^{61} +(0.00373451 + 0.0127186i) q^{62} +(4.87122 - 5.38429i) q^{63} +(-0.761125 - 1.66663i) q^{64} +(-2.76360 + 0.397345i) q^{65} +(0.324604 - 0.208611i) q^{66} +(-6.90915 - 5.98682i) q^{67} +0.114777 q^{68} +(-0.631506 + 2.34128i) q^{69} +(-1.18453 - 0.797596i) q^{70} +(7.35336 - 8.48622i) q^{71} +(4.62136 - 2.96997i) q^{72} +(-13.8787 + 1.99546i) q^{73} +(0.639996 - 0.292276i) q^{74} +(-0.500491 - 0.0719598i) q^{75} +(2.64483 - 0.776591i) q^{76} +(3.43512 - 1.48072i) q^{77} +(0.316539 - 0.693125i) q^{78} +(1.44795 - 4.93126i) q^{79} +(1.53036 + 1.76613i) q^{80} +(-4.42970 - 5.11215i) q^{81} +(1.06073 - 3.61250i) q^{82} +(-2.98473 + 6.53565i) q^{83} +(-2.09914 + 0.904840i) q^{84} +(-0.0644521 + 0.0189248i) q^{85} +(-2.00785 - 0.288685i) q^{86} +(-3.59296 + 1.64085i) q^{87} +(2.80132 - 0.402770i) q^{88} +(-12.8622 + 8.26604i) q^{89} +(-0.970003 + 1.11944i) q^{90} +(4.12585 - 6.12739i) q^{91} +(-5.22784 + 6.31030i) q^{92} -0.0124179 q^{93} +(-3.49101 - 3.02498i) q^{94} +(-1.35713 + 0.872177i) q^{95} +(-2.63499 + 0.378855i) q^{96} +(-4.74696 - 10.3944i) q^{97} +(3.66741 - 0.908264i) q^{98} +(-1.09313 - 3.72287i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q + 2 q^{2} - 34 q^{4} + 32 q^{5} + 3 q^{7} + 6 q^{8} + 28 q^{9}+O(q^{10}) \) 320 * q + 2 * q^2 - 34 * q^4 + 32 * q^5 + 3 * q^7 + 6 * q^8 + 28 * q^9	\( 320 q + 2 q^{2} - 34 q^{4} + 32 q^{5} + 3 q^{7} + 6 q^{8} + 28 q^{9} - 2 q^{10} - 6 q^{14} - 24 q^{16} + 2 q^{17} + 6 q^{18} - 8 q^{19} + 34 q^{20} - 17 q^{21} - 8 q^{23} - 32 q^{25} + 10 q^{28} + 6 q^{29} + 12 q^{32} + 20 q^{33} + 16 q^{34} + 8 q^{35} + 15 q^{36} + 58 q^{38} - 24 q^{39} + 16 q^{40} + 44 q^{41} + 50 q^{42} - 44 q^{43} - 11 q^{44} + 324 q^{45} + 16 q^{46} - 176 q^{48} - q^{49} - 9 q^{50} - 44 q^{51} - 154 q^{54} + 125 q^{56} - 123 q^{58} - 8 q^{61} + 120 q^{63} - 62 q^{64} - 112 q^{66} - 48 q^{68} + 12 q^{69} + 6 q^{70} - 10 q^{71} - 218 q^{72} + 11 q^{74} - 212 q^{76} - 96 q^{77} - 200 q^{78} - 44 q^{79} + 46 q^{80} - 72 q^{81} + 22 q^{83} - 100 q^{84} - 2 q^{85} - 22 q^{86} + 165 q^{88} + 12 q^{89} - 6 q^{90} + 92 q^{91} - 258 q^{92} - 44 q^{93} + 484 q^{94} + 8 q^{95} - 12 q^{97} + 7 q^{98} - 264 q^{99}+O(q^{100}) \) 320 * q + 2 * q^2 - 34 * q^4 + 32 * q^5 + 3 * q^7 + 6 * q^8 + 28 * q^9 - 2 * q^10 - 6 * q^14 - 24 * q^16 + 2 * q^17 + 6 * q^18 - 8 * q^19 + 34 * q^20 - 17 * q^21 - 8 * q^23 - 32 * q^25 + 10 * q^28 + 6 * q^29 + 12 * q^32 + 20 * q^33 + 16 * q^34 + 8 * q^35 + 15 * q^36 + 58 * q^38 - 24 * q^39 + 16 * q^40 + 44 * q^41 + 50 * q^42 - 44 * q^43 - 11 * q^44 + 324 * q^45 + 16 * q^46 - 176 * q^48 - q^49 - 9 * q^50 - 44 * q^51 - 154 * q^54 + 125 * q^56 - 123 * q^58 - 8 * q^61 + 120 * q^63 - 62 * q^64 - 112 * q^66 - 48 * q^68 + 12 * q^69 + 6 * q^70 - 10 * q^71 - 218 * q^72 + 11 * q^74 - 212 * q^76 - 96 * q^77 - 200 * q^78 - 44 * q^79 + 46 * q^80 - 72 * q^81 + 22 * q^83 - 100 * q^84 - 2 * q^85 - 22 * q^86 + 165 * q^88 + 12 * q^89 - 6 * q^90 + 92 * q^91 - 258 * q^92 - 44 * q^93 + 484 * q^94 + 8 * q^95 - 12 * q^97 + 7 * q^98 - 264 * q^99

Introduction

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