LMFDB - Embedded newform 134.2.e.b.15.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [134,2,Mod(9,134)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(134, base_ring=CyclotomicField(22))

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

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

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

chi := DirichletCharacter("134.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 134 = 2 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	134.e (of order $11$, 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:	$1.06999538709$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			15.1
Character	$\chi$	$=$	134.15
Dual form			134.2.e.b.9.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.841254 - 0.540641i) q^{2} +(-3.08839 + 0.906834i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-2.36428 - 2.72852i) q^{5} +(-2.10785 + 2.43259i) q^{6} +(-3.01135 + 1.93527i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(6.19205 - 3.97939i) q^{9} +O(q^{10})$	\(q+(0.841254 - 0.540641i) q^{2} +(-3.08839 + 0.906834i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-2.36428 - 2.72852i) q^{5} +(-2.10785 + 2.43259i) q^{6} +(-3.01135 + 1.93527i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(6.19205 - 3.97939i) q^{9} +(-3.46411 - 1.01715i) q^{10} +(-1.83274 - 2.11510i) q^{11} +(-0.458079 + 3.18601i) q^{12} +(-0.254625 + 1.77096i) q^{13} +(-1.48702 + 3.25611i) q^{14} +(9.77613 + 6.28274i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.531304 - 1.16339i) q^{17} +(3.05767 - 6.69535i) q^{18} +(-0.450763 - 0.289688i) q^{19} +(-3.46411 + 1.01715i) q^{20} +(7.54524 - 8.70768i) q^{21} +(-2.68531 - 0.788477i) q^{22} +(4.90087 - 1.43903i) q^{23} +(1.33713 + 2.92790i) q^{24} +(-1.14345 + 7.95287i) q^{25} +(0.743247 + 1.62748i) q^{26} +(-9.19129 + 10.6073i) q^{27} +(0.509429 + 3.54316i) q^{28} -3.22530 q^{29} +11.6209 q^{30} +(-0.862438 - 5.99839i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(7.57826 + 4.87025i) q^{33} +(-1.07594 - 0.691465i) q^{34} +(12.4001 + 3.64100i) q^{35} +(-1.04751 - 7.28559i) q^{36} -5.52412 q^{37} -0.535823 q^{38} +(-0.819581 - 5.70031i) q^{39} +(-2.36428 + 2.72852i) q^{40} +(-0.848810 - 1.85863i) q^{41} +(1.63974 - 11.4046i) q^{42} +(-3.29441 - 7.21374i) q^{43} +(-2.68531 + 0.788477i) q^{44} +(-25.4976 - 7.48677i) q^{45} +(3.34488 - 3.86020i) q^{46} +(-5.71546 + 1.67821i) q^{47} +(2.70781 + 1.74020i) q^{48} +(2.41501 - 5.28814i) q^{49} +(3.33772 + 7.30858i) q^{50} +(2.69588 + 3.11121i) q^{51} +(1.50514 + 0.967297i) q^{52} +(3.06762 - 6.71715i) q^{53} +(-1.99746 + 13.8926i) q^{54} +(-1.43798 + 10.0014i) q^{55} +(2.34414 + 2.70528i) q^{56} +(1.65483 + 0.485903i) q^{57} +(-2.71330 + 1.74373i) q^{58} +(-0.0868040 - 0.603735i) q^{59} +(9.77613 - 6.28274i) q^{60} +(3.73138 - 4.30624i) q^{61} +(-3.96850 - 4.57989i) q^{62} +(-10.9452 + 23.9666i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(5.43410 - 3.49228i) q^{65} +9.00829 q^{66} +(5.96881 + 5.60119i) q^{67} -1.27897 q^{68} +(-13.8309 + 8.88855i) q^{69} +(12.4001 - 3.64100i) q^{70} +(-1.31126 + 2.87126i) q^{71} +(-4.82011 - 5.56270i) q^{72} +(-7.99084 + 9.22193i) q^{73} +(-4.64718 + 2.98656i) q^{74} +(-3.68051 - 25.5985i) q^{75} +(-0.450763 + 0.289688i) q^{76} +(9.61231 + 2.82243i) q^{77} +(-3.77129 - 4.35231i) q^{78} +(-0.539052 + 3.74919i) q^{79} +(-0.513807 + 3.57361i) q^{80} +(9.59424 - 21.0085i) q^{81} +(-1.71892 - 1.10468i) q^{82} +(0.0897954 + 0.103629i) q^{83} +(-4.78637 - 10.4807i) q^{84} +(-1.91820 + 4.20026i) q^{85} +(-6.67147 - 4.28750i) q^{86} +(9.96100 - 2.92481i) q^{87} +(-1.83274 + 2.11510i) q^{88} +(4.73396 + 1.39002i) q^{89} +(-25.4976 + 7.48677i) q^{90} +(-2.66052 - 5.82573i) q^{91} +(0.726912 - 5.05578i) q^{92} +(8.10308 + 17.7433i) q^{93} +(-3.90084 + 4.50181i) q^{94} +(0.275310 + 1.91482i) q^{95} +3.21877 q^{96} +14.2027 q^{97} +(-0.827346 - 5.75432i) q^{98} +(-19.7652 - 5.80359i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 4 q^{2} - 7 q^{3} - 4 q^{4} - 3 q^{5} - 7 q^{6} - 8 q^{7} - 4 q^{8} - 13 q^{9}+O(q^{10}) $ 40 * q - 4 * q^2 - 7 * q^3 - 4 * q^4 - 3 * q^5 - 7 * q^6 - 8 * q^7 - 4 * q^8 - 13 * q^9	\( 40 q - 4 q^{2} - 7 q^{3} - 4 q^{4} - 3 q^{5} - 7 q^{6} - 8 q^{7} - 4 q^{8} - 13 q^{9} - 3 q^{10} - 9 q^{11} + 4 q^{12} - 11 q^{13} + 14 q^{14} + 10 q^{15} - 4 q^{16} + 7 q^{17} - 2 q^{18} - 4 q^{19} - 3 q^{20} + 29 q^{21} - 9 q^{22} + 12 q^{23} + 4 q^{24} - 37 q^{25} + 11 q^{26} - 46 q^{27} + 3 q^{28} + 4 q^{29} + 10 q^{30} - 22 q^{31} - 4 q^{32} - 3 q^{33} - 4 q^{34} + 62 q^{35} - 13 q^{36} + 28 q^{37} + 18 q^{38} + 27 q^{39} - 3 q^{40} + 79 q^{41} - 15 q^{42} - 14 q^{43} - 9 q^{44} - 40 q^{45} - 21 q^{46} - 14 q^{47} + 4 q^{48} - 60 q^{49} - 15 q^{50} - 84 q^{51} + 11 q^{52} - 12 q^{53} - 2 q^{54} - 3 q^{55} - 8 q^{56} - 65 q^{57} + 4 q^{58} + 39 q^{59} + 10 q^{60} + 66 q^{61} + 11 q^{62} - 10 q^{63} - 4 q^{64} - 34 q^{65} + 96 q^{66} - 20 q^{67} + 18 q^{68} - 22 q^{69} + 62 q^{70} - 37 q^{71} - 2 q^{72} - 28 q^{73} + 6 q^{74} + 164 q^{75} - 4 q^{76} + 109 q^{77} - 6 q^{78} + 14 q^{79} + 8 q^{80} + 161 q^{81} - 20 q^{82} - 36 q^{83} + 40 q^{84} - 49 q^{85} - 47 q^{86} + 68 q^{87} - 9 q^{88} - 16 q^{89} - 40 q^{90} - 142 q^{91} - 21 q^{92} + 15 q^{93} - 47 q^{94} - 15 q^{95} + 4 q^{96} - 94 q^{97} - 16 q^{98} - 10 q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 7 * q^3 - 4 * q^4 - 3 * q^5 - 7 * q^6 - 8 * q^7 - 4 * q^8 - 13 * q^9 - 3 * q^10 - 9 * q^11 + 4 * q^12 - 11 * q^13 + 14 * q^14 + 10 * q^15 - 4 * q^16 + 7 * q^17 - 2 * q^18 - 4 * q^19 - 3 * q^20 + 29 * q^21 - 9 * q^22 + 12 * q^23 + 4 * q^24 - 37 * q^25 + 11 * q^26 - 46 * q^27 + 3 * q^28 + 4 * q^29 + 10 * q^30 - 22 * q^31 - 4 * q^32 - 3 * q^33 - 4 * q^34 + 62 * q^35 - 13 * q^36 + 28 * q^37 + 18 * q^38 + 27 * q^39 - 3 * q^40 + 79 * q^41 - 15 * q^42 - 14 * q^43 - 9 * q^44 - 40 * q^45 - 21 * q^46 - 14 * q^47 + 4 * q^48 - 60 * q^49 - 15 * q^50 - 84 * q^51 + 11 * q^52 - 12 * q^53 - 2 * q^54 - 3 * q^55 - 8 * q^56 - 65 * q^57 + 4 * q^58 + 39 * q^59 + 10 * q^60 + 66 * q^61 + 11 * q^62 - 10 * q^63 - 4 * q^64 - 34 * q^65 + 96 * q^66 - 20 * q^67 + 18 * q^68 - 22 * q^69 + 62 * q^70 - 37 * q^71 - 2 * q^72 - 28 * q^73 + 6 * q^74 + 164 * q^75 - 4 * q^76 + 109 * q^77 - 6 * q^78 + 14 * q^79 + 8 * q^80 + 161 * q^81 - 20 * q^82 - 36 * q^83 + 40 * q^84 - 49 * q^85 - 47 * q^86 + 68 * q^87 - 9 * q^88 - 16 * q^89 - 40 * q^90 - 142 * q^91 - 21 * q^92 + 15 * q^93 - 47 * q^94 - 15 * q^95 + 4 * q^96 - 94 * q^97 - 16 * q^98 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/134\mathbb{Z}\right)^\times$.

$n$	$69$
$\chi(n)$	$e\left(\frac{9}{11}\right)$

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 $

$2$	0.841254	−	0.540641i	0.594856	−	0.382291i
$2$	0.841254	−	0.540641i	0.594856	−	0.382291i
$3$	−3.08839	+	0.906834i	−1.78308	+	0.523561i	−0.995678	−	0.0928744i	$-0.970394\pi$
$3$	−3.08839	+	0.906834i	−1.78308	+	0.523561i	−0.787406	+	0.616435i	$0.788576\pi$
$4$	0.415415	−	0.909632i	0.207708	−	0.454816i
$5$	−2.36428	−	2.72852i	−1.05734	−	1.22023i	−0.974668	−	0.223656i	$-0.928201\pi$
$5$	−2.36428	−	2.72852i	−1.05734	−	1.22023i	−0.0826694	−	0.996577i	$-0.526345\pi$
$6$	−2.10785	+	2.43259i	−0.860526	+	0.993100i
$7$	−3.01135	+	1.93527i	−1.13818	+	0.731465i	−0.967252	−	0.253818i	$-0.918314\pi$
$7$	−3.01135	+	1.93527i	−1.13818	+	0.731465i	−0.170930	+	0.985283i	$0.554677\pi$
$8$	−0.142315	−	0.989821i	−0.0503159	−	0.349955i
$9$	6.19205	−	3.97939i	2.06402	−	1.32646i
$10$	−3.46411	−	1.01715i	−1.09545	−	0.321652i
$11$	−1.83274	−	2.11510i	−0.552592	−	0.637725i	0.408893	−	0.912582i	$-0.365915\pi$
$11$	−1.83274	−	2.11510i	−0.552592	−	0.637725i	−0.961485	+	0.274857i	$0.911369\pi$
$12$	−0.458079	+	3.18601i	−0.132236	+	0.919722i
$13$	−0.254625	+	1.77096i	−0.0706203	+	0.491175i	0.923561	+	0.383452i	$0.125265\pi$
$13$	−0.254625	+	1.77096i	−0.0706203	+	0.491175i	−0.994181	+	0.107723i	$0.965644\pi$
$14$	−1.48702	+	3.25611i	−0.397422	+	0.870233i
$15$	9.77613	+	6.28274i	2.52419	+	1.62220i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−0.531304	−	1.16339i	−0.128860	−	0.282165i	0.834194	−	0.551470i	$-0.185933\pi$
$17$	−0.531304	−	1.16339i	−0.128860	−	0.282165i	−0.963055	+	0.269306i	$0.913206\pi$
$18$	3.05767	−	6.69535i	0.720699	−	1.57811i
$19$	−0.450763	−	0.289688i	−0.103412	−	0.0664590i	0.487913	−	0.872893i	$-0.337758\pi$
$19$	−0.450763	−	0.289688i	−0.103412	−	0.0664590i	−0.591325	+	0.806434i	$0.701395\pi$
$20$	−3.46411	+	1.01715i	−0.774598	+	0.227443i
$21$	7.54524	−	8.70768i	1.64651	−	1.90017i
$22$	−2.68531	−	0.788477i	−0.572509	−	0.168104i
$23$	4.90087	−	1.43903i	1.02190	−	0.300058i	0.272488	−	0.962159i	$-0.412153\pi$
$23$	4.90087	−	1.43903i	1.02190	−	0.300058i	0.749414	+	0.662102i	$0.230335\pi$
$24$	1.33713	+	2.92790i	0.272940	+	0.597655i
$25$	−1.14345	+	7.95287i	−0.228690	+	1.59057i
$26$	0.743247	+	1.62748i	0.145763	+	0.319176i
$27$	−9.19129	+	10.6073i	−1.76887	+	2.04138i
$28$	0.509429	+	3.54316i	0.0962731	+	0.669594i
$29$	−3.22530			−0.598924			−0.299462	−	0.954108i	$-0.596807\pi$
$29$	−3.22530			−0.598924			−0.299462	+	0.954108i	$0.596807\pi$
$30$	11.6209			2.12168
$31$	−0.862438	−	5.99839i	−0.154898	−	1.07734i	−0.907859	−	0.419276i	$-0.862284\pi$
$31$	−0.862438	−	5.99839i	−0.154898	−	1.07734i	0.752960	−	0.658066i	$-0.228625\pi$
$32$	−0.959493	−	0.281733i	−0.169616	−	0.0498038i
$33$	7.57826	+	4.87025i	1.31921	+	0.847802i
$34$	−1.07594	−	0.691465i	−0.184522	−	0.118585i
$35$	12.4001	+	3.64100i	2.09600	+	0.615441i
$36$	−1.04751	−	7.28559i	−0.174585	−	1.21426i
$37$	−5.52412			−0.908159			−0.454080	−	0.890961i	$-0.650032\pi$
$37$	−5.52412			−0.908159			−0.454080	+	0.890961i	$0.650032\pi$
$38$	−0.535823			−0.0869220
$39$	−0.819581	−	5.70031i	−0.131238	−	0.912780i
$40$	−2.36428	+	2.72852i	−0.373825	+	0.431417i
$41$	−0.848810	−	1.85863i	−0.132562	−	0.290270i	0.831698	−	0.555228i	$-0.187369\pi$
$41$	−0.848810	−	1.85863i	−0.132562	−	0.290270i	−0.964260	+	0.264958i	$0.914642\pi$
$42$	1.63974	−	11.4046i	0.253017	−	1.75977i
$43$	−3.29441	−	7.21374i	−0.502392	−	1.10009i	−0.975684	−	0.219180i	$-0.929662\pi$
$43$	−3.29441	−	7.21374i	−0.502392	−	1.10009i	0.473292	−	0.880905i	$-0.343065\pi$
$44$	−2.68531	+	0.788477i	−0.404825	+	0.118867i
$45$	−25.4976	−	7.48677i	−3.80096	−	1.11606i
$46$	3.34488	−	3.86020i	0.493176	−	0.569155i
$47$	−5.71546	+	1.67821i	−0.833685	+	0.244792i	−0.670599	−	0.741820i	$-0.733963\pi$
$47$	−5.71546	+	1.67821i	−0.833685	+	0.244792i	−0.163086	+	0.986612i	$0.552145\pi$
$48$	2.70781	+	1.74020i	0.390838	+	0.251176i
$49$	2.41501	−	5.28814i	0.345002	−	0.755449i
$50$	3.33772	+	7.30858i	0.472024	+	1.03359i
$51$	2.69588	+	3.11121i	0.377499	+	0.435657i
$52$	1.50514	+	0.967297i	0.208726	+	0.134140i
$53$	3.06762	−	6.71715i	0.421370	−	0.922672i	−0.573279	−	0.819360i	$-0.694329\pi$
$53$	3.06762	−	6.71715i	0.421370	−	0.922672i	0.994649	−	0.103312i	$-0.0329439\pi$
$54$	−1.99746	+	13.8926i	−0.271820	+	1.89055i
$55$	−1.43798	+	10.0014i	−0.193897	+	1.34858i
$56$	2.34414	+	2.70528i	0.313248	+	0.361508i
$57$	1.65483	+	0.485903i	0.219188	+	0.0643594i
$58$	−2.71330	+	1.74373i	−0.356274	+	0.228963i
$59$	−0.0868040	−	0.603735i	−0.0113009	−	0.0785996i	0.983390	−	0.181502i	$-0.0580960\pi$
$59$	−0.0868040	−	0.603735i	−0.0113009	−	0.0785996i	−0.994691	+	0.102903i	$0.967187\pi$
$60$	9.77613	−	6.28274i	1.26209	−	0.811098i
$61$	3.73138	−	4.30624i	0.477754	−	0.551358i	−0.464798	−	0.885417i	$-0.653873\pi$
$61$	3.73138	−	4.30624i	0.477754	−	0.551358i	0.942552	+	0.334059i	$0.108418\pi$
$62$	−3.96850	−	4.57989i	−0.504000	−	0.581647i
$63$	−10.9452	+	23.9666i	−1.37897	+	3.01951i
$64$	−0.959493	+	0.281733i	−0.119937	+	0.0352166i
$65$	5.43410	−	3.49228i	0.674017	−	0.433164i
$66$	9.00829			1.10884
$67$	5.96881	+	5.60119i	0.729206	+	0.684294i
$67$	5.96881	+	5.60119i	0.729206	+	0.684294i
$68$	−1.27897			−0.155098
$69$	−13.8309	+	8.88855i	−1.66504	+	1.07006i
$70$	12.4001	−	3.64100i	1.48210	−	0.435183i
$71$	−1.31126	+	2.87126i	−0.155618	+	0.340756i	−0.971342	−	0.237685i	$-0.923611\pi$
$71$	−1.31126	+	2.87126i	−0.155618	+	0.340756i	0.815724	+	0.578441i	$0.196339\pi$
$72$	−4.82011	−	5.56270i	−0.568055	−	0.655571i
$73$	−7.99084	+	9.22193i	−0.935258	+	1.07934i	0.0614375	+	0.998111i	$0.480432\pi$
$73$	−7.99084	+	9.22193i	−0.935258	+	1.07934i	−0.996695	+	0.0812338i	$0.974114\pi$
$74$	−4.64718	+	2.98656i	−0.540224	+	0.347181i
$75$	−3.68051	−	25.5985i	−0.424989	−	2.95586i
$76$	−0.450763	+	0.289688i	−0.0517061	+	0.0332295i
$77$	9.61231	+	2.82243i	1.09542	+	0.321646i
$78$	−3.77129	−	4.35231i	−0.427015	−	0.492802i
$79$	−0.539052	+	3.74919i	−0.0606481	+	0.421817i	0.936767	+	0.349955i	$0.113803\pi$
$79$	−0.539052	+	3.74919i	−0.0606481	+	0.421817i	−0.997415	+	0.0718617i	$0.977106\pi$
$80$	−0.513807	+	3.57361i	−0.0574454	+	0.399541i
$81$	9.59424	−	21.0085i	1.06603	−	2.33427i
$82$	−1.71892	−	1.10468i	−0.189823	−	0.121992i
$83$	0.0897954	+	0.103629i	0.00985632	+	0.0113748i	0.760656	−	0.649155i	$-0.224877\pi$
$83$	0.0897954	+	0.103629i	0.00985632	+	0.0113748i	−0.750800	+	0.660530i	$0.770332\pi$
$84$	−4.78637	−	10.4807i	−0.522236	−	1.14354i
$85$	−1.91820	+	4.20026i	−0.208058	+	0.455583i
$86$	−6.67147	−	4.28750i	−0.719404	−	0.462333i
$87$	9.96100	−	2.92481i	1.06793	−	0.313573i
$88$	−1.83274	+	2.11510i	−0.195371	+	0.225470i
$89$	4.73396	+	1.39002i	0.501799	+	0.147341i	0.522829	−	0.852437i	$-0.324876\pi$
$89$	4.73396	+	1.39002i	0.501799	+	0.147341i	−0.0210304	+	0.999779i	$0.506695\pi$
$90$	−25.4976	+	7.48677i	−2.68768	+	0.789175i
$91$	−2.66052	−	5.82573i	−0.278898	−	0.610703i
$92$	0.726912	−	5.05578i	0.0757858	−	0.527102i
$93$	8.10308	+	17.7433i	0.840251	+	1.83989i
$94$	−3.90084	+	4.50181i	−0.402341	+	0.464326i
$95$	0.275310	+	1.91482i	0.0282462	+	0.196456i
$96$	3.21877			0.328515
$97$	14.2027			1.44207			0.721035	−	0.692898i	$-0.243667\pi$
$97$	14.2027			1.44207			0.721035	+	0.692898i	$0.243667\pi$
$98$	−0.827346	−	5.75432i	−0.0835746	−	0.581274i
$99$	−19.7652	−	5.80359i	−1.98648	−	0.583283i
$100$	6.75918	+	4.34386i	0.675918	+	0.434386i
$101$	−0.661958	−	0.425415i	−0.0658673	−	0.0423303i	0.507293	−	0.861774i	$-0.330646\pi$
$101$	−0.661958	−	0.425415i	−0.0658673	−	0.0423303i	−0.573160	+	0.819443i	$0.694283\pi$
$102$	3.94997	+	1.15982i	0.391105	+	0.114839i
$103$	−2.64361	−	18.3867i	−0.260483	−	1.81170i	−0.529219	−	0.848485i	$-0.677515\pi$
$103$	−2.64361	−	18.3867i	−0.260483	−	1.81170i	0.268736	−	0.963214i	$-0.413394\pi$
$104$	1.78917			0.175442
$105$	−41.5982			−4.05956
$106$	−1.05092	−	7.30931i	−0.102074	−	0.709943i
$107$	9.30948	−	10.7437i	0.899981	−	1.03863i	−0.0990701	−	0.995080i	$-0.531587\pi$
$107$	9.30948	−	10.7437i	0.899981	−	1.03863i	0.999051	−	0.0435530i	$-0.0138677\pi$
$108$	5.83055	+	12.7671i	0.561045	+	1.22852i
$109$	−2.43087	+	16.9070i	−0.232835	+	1.61940i	0.452908	+	0.891557i	$0.350387\pi$
$109$	−2.43087	+	16.9070i	−0.232835	+	1.61940i	−0.685743	+	0.727844i	$0.740522\pi$
$110$	4.19743	+	9.19110i	0.400210	+	0.876337i
$111$	17.0606	−	5.00946i	1.61932	−	0.475476i
$112$	3.43460	+	1.00849i	0.324539	+	0.0952932i
$113$	3.63451	−	4.19444i	0.341906	−	0.394580i	−0.558591	−	0.829443i	$-0.688658\pi$
$113$	3.63451	−	4.19444i	0.341906	−	0.394580i	0.900497	+	0.434863i	$0.143203\pi$
$114$	1.65483	−	0.485903i	0.154989	−	0.0455089i
$115$	−15.5134	−	9.96988i	−1.44664	−	0.929696i
$116$	−1.33984	+	2.93384i	−0.124401	+	0.272400i
$117$	5.47067	+	11.9791i	0.505764	+	1.10747i
$118$	−0.399428	−	0.460964i	−0.0367703	−	0.0424352i
$119$	3.85143	+	2.47516i	0.353060	+	0.226898i
$120$	4.82750	−	10.5708i	0.440689	−	0.964973i
$121$	0.450773	−	3.13519i	0.0409793	−	0.285018i
$122$	0.810906	−	5.63998i	0.0734160	−	0.510620i
$123$	4.30693	+	4.97046i	0.388343	+	0.448171i
$124$	−5.81459	−	1.70732i	−0.522166	−	0.153322i
$125$	9.21692	−	5.92335i	0.824386	−	0.529801i
$126$	3.74966	+	26.0795i	0.334046	+	2.32334i
$127$	−13.1139	+	8.42779i	−1.16367	+	0.747846i	−0.972315	−	0.233675i	$-0.924925\pi$
$127$	−13.1139	+	8.42779i	−1.16367	+	0.747846i	−0.191356	+	0.981521i	$0.561289\pi$
$128$	−0.654861	+	0.755750i	−0.0578821	+	0.0667995i
$129$	16.7161	+	19.2914i	1.47177	+	1.69851i
$130$	2.68338	−	5.87579i	0.235348	−	0.515341i
$131$	15.7072	−	4.61206i	1.37235	−	0.402958i	0.489249	−	0.872144i	$-0.337271\pi$
$131$	15.7072	−	4.61206i	1.37235	−	0.402958i	0.883099	+	0.469186i	$0.155453\pi$
$132$	7.57826	−	4.87025i	0.659603	−	0.423901i
$133$	1.91803			0.166314
$134$	8.04951	+	1.48504i	0.695372	+	0.128288i
$135$	50.6731			4.36125
$136$	−1.07594	+	0.691465i	−0.0922611	+	0.0592926i
$137$	2.41461	−	0.708995i	0.206294	−	0.0605735i	−0.176953	−	0.984219i	$-0.556624\pi$
$137$	2.41461	−	0.708995i	0.206294	−	0.0605735i	0.383247	+	0.923646i	$0.374806\pi$
$138$	−6.82974	+	14.9550i	−0.581386	+	1.27306i
$139$	−3.81892	−	4.40727i	−0.323917	−	0.373820i	0.570313	−	0.821427i	$-0.306822\pi$
$139$	−3.81892	−	4.40727i	−0.323917	−	0.373820i	−0.894230	+	0.447607i	$0.852276\pi$
$140$	8.46316	−	9.76701i	0.715267	−	0.825463i
$141$	16.1297	−	10.3659i	1.35837	−	0.872969i
$142$	0.449218	+	3.12438i	0.0376975	+	0.262192i
$143$	4.21240	−	2.70715i	0.352259	−	0.226383i
$144$	−7.06236	−	2.07369i	−0.588530	−	0.172808i
$145$	7.62552	+	8.80032i	0.633265	+	0.730827i
$146$	−1.73658	+	12.0782i	−0.143720	+	0.999595i
$147$	−2.66304	+	18.5219i	−0.219644	+	1.52766i
$148$	−2.29480	+	5.02491i	−0.188632	+	0.413045i
$149$	−19.7622	−	12.7004i	−1.61898	−	1.04046i	−0.956648	−	0.291247i	$-0.905930\pi$
$149$	−19.7622	−	12.7004i	−1.61898	−	1.04046i	−0.662334	−	0.749209i	$-0.730434\pi$
$150$	−16.9358	−	19.5450i	−1.38281	−	1.59584i
$151$	1.59929	+	3.50195i	0.130148	+	0.284984i	0.963476	−	0.267794i	$-0.0862948\pi$
$151$	1.59929	+	3.50195i	0.130148	+	0.284984i	−0.833328	+	0.552779i	$0.813567\pi$
$152$	−0.222589	+	0.487402i	−0.0180544	+	0.0395335i
$153$	−7.91947	−	5.08953i	−0.640251	−	0.411464i
$154$	9.61231	−	2.82243i	0.774582	−	0.227438i
$155$	−14.3277	+	16.5350i	−1.15083	+	1.32813i
$156$	−5.52565	−	1.62248i	−0.442406	−	0.129902i
$157$	−1.52339	+	0.447307i	−0.121580	+	0.0356990i	−0.341956	−	0.939716i	$-0.611090\pi$
$157$	−1.52339	+	0.447307i	−0.121580	+	0.0356990i	0.220377	+	0.975415i	$0.429271\pi$
$158$	1.57349	+	3.44545i	0.125180	+	0.274105i
$159$	−3.38267	+	23.5270i	−0.268264	+	1.86581i
$160$	1.49980	+	3.28409i	0.118569	+	0.259630i
$161$	−11.9733	+	13.8179i	−0.943629	+	1.08901i
$162$	−3.28684	−	22.8605i	−0.258239	−	1.79609i
$163$	−11.9390			−0.935132			−0.467566	−	0.883958i	$-0.654869\pi$
$163$	−11.9390			−0.935132			−0.467566	+	0.883958i	$0.654869\pi$
$164$	−2.04328			−0.159554
$165$	−4.62852	−	32.1921i	−0.360330	−	2.50615i
$166$	0.131567	+	0.0386315i	0.0102116	+	0.00299839i
$167$	−14.1723	−	9.10796i	−1.09668	−	0.704795i	−0.138331	−	0.990386i	$-0.544174\pi$
$167$	−14.1723	−	9.10796i	−1.09668	−	0.704795i	−0.958352	+	0.285591i	$0.907810\pi$
$168$	−9.69284	−	6.22921i	−0.747819	−	0.480594i
$169$	9.40196	+	2.76066i	0.723228	+	0.212359i
$170$	0.657145	+	4.57054i	0.0504007	+	0.350545i
$171$	−3.94393			−0.301600
$172$	−7.93040			−0.604687
$173$	−1.22098	−	8.49212i	−0.0928296	−	0.645644i	−0.982114	−	0.188289i	$-0.939706\pi$
$173$	−1.22098	−	8.49212i	−0.0928296	−	0.645644i	0.889284	−	0.457355i	$-0.151203\pi$
$174$	6.79846	−	7.84584i	0.515390	−	0.594791i
$175$	−11.9477	−	26.1617i	−0.903159	−	1.97764i
$176$	−0.398293	+	2.77019i	−0.0300224	+	0.208811i
$177$	0.815572	+	1.78585i	0.0613021	+	0.134233i
$178$	4.73396	−	1.39002i	0.354825	−	0.104186i
$179$	22.9253	+	6.73148i	1.71352	+	0.503134i	0.983594	−	0.180394i	$-0.0577374\pi$
$179$	22.9253	+	6.73148i	1.71352	+	0.503134i	0.729924	+	0.683529i	$0.239556\pi$
$180$	−17.4023	+	20.0833i	−1.29709	+	1.49692i
$181$	5.06328	−	1.48671i	0.376350	−	0.110506i	−0.0880862	−	0.996113i	$-0.528075\pi$
$181$	5.06328	−	1.48671i	0.376350	−	0.110506i	0.464436	+	0.885606i	$0.346257\pi$
$182$	−5.38780	−	3.46253i	−0.399370	−	0.256660i
$183$	−7.61892	+	16.6831i	−0.563207	+	1.23325i
$184$	−2.12185	−	4.64619i	−0.156424	−	0.342522i
$185$	13.0606	+	15.0727i	0.960231	+	1.10817i
$186$	16.4095	+	10.5457i	1.20320	+	0.773251i
$187$	−1.48695	+	3.25596i	−0.108736	+	0.238099i
$188$	−0.847733	+	5.89612i	−0.0618273	+	0.430018i
$189$	7.15009	−	49.7300i	0.520093	−	3.61732i
$190$	1.26684	+	1.46201i	0.0919059	+	0.106065i
$191$	−25.4539	−	7.47394i	−1.84178	−	0.540795i	−1.00000		0.000974599i	$-0.999690\pi$
$191$	−25.4539	−	7.47394i	−1.84178	−	0.540795i	−0.841780	−	0.539821i	$-0.818492\pi$
$192$	2.70781	−	1.74020i	0.195419	−	0.125588i
$193$	−2.18737	−	15.2135i	−0.157450	−	1.09509i	−0.903310	−	0.428988i	$-0.858870\pi$
$193$	−2.18737	−	15.2135i	−0.157450	−	1.09509i	0.745860	−	0.666102i	$-0.232039\pi$
$194$	11.9481	−	7.67859i	0.857824	−	0.551290i
$195$	−13.6157	+	15.7134i	−0.975041	+	1.12526i
$196$	−3.80703	−	4.39355i	−0.271931	−	0.313825i
$197$	−9.08627	+	19.8961i	−0.647370	+	1.41754i	0.246468	+	0.969151i	$0.420730\pi$
$197$	−9.08627	+	19.8961i	−0.647370	+	1.41754i	−0.893838	+	0.448391i	$0.851997\pi$
$198$	−19.7652	+	5.80359i	−1.40465	+	0.412443i
$199$	2.89877	−	1.86292i	0.205488	−	0.132059i	−0.433849	−	0.900985i	$-0.642845\pi$
$199$	2.89877	−	1.86292i	0.205488	−	0.132059i	0.639338	+	0.768926i	$0.279209\pi$
$200$	8.03465			0.568136
$201$	−23.5134	−	11.8859i	−1.65851	−	0.838370i
$202$	−0.786871			−0.0553640
$203$	9.71251	−	6.24185i	0.681684	−	0.438092i
$204$	3.94997	−	1.15982i	0.276553	−	0.0812033i
$205$	−3.06450	+	6.71033i	−0.214034	+	0.468670i
$206$	−12.1646	−	14.0387i	−0.847546	−	0.978120i
$207$	24.6200	−	28.4130i	1.71121	−	1.97484i
$208$	1.50514	−	0.967297i	0.104363	−	0.0670700i
$209$	0.213414	+	1.48433i	0.0147622	+	0.102673i
$210$	−34.9946	+	22.4897i	−2.41486	+	1.55193i
$211$	−5.15331	−	1.51315i	−0.354769	−	0.104169i	0.0994919	−	0.995038i	$-0.468278\pi$
$211$	−5.15331	−	1.51315i	−0.354769	−	0.104169i	−0.454260	+	0.890869i	$0.650096\pi$
$212$	−4.83580	−	5.58081i	−0.332124	−	0.383292i
$213$	1.44593	−	10.0567i	0.0990735	−	0.689071i
$214$	2.02314	−	14.0713i	0.138299	−	0.961892i
$215$	−11.8940	+	26.0442i	−0.811162	+	1.77620i
$216$	11.8074	+	7.58816i	0.803392	+	0.516309i
$217$	14.2056	+	16.3942i	0.964341	+	1.11291i
$218$	7.09567	+	15.5373i	0.480579	+	1.05232i
$219$	16.3161	−	35.7273i	1.10254	−	2.41423i
$220$	8.50019	+	5.46274i	0.573083	+	0.368298i
$221$	2.19560	−	0.644687i	0.147692	−	0.0433664i
$222$	11.6440	−	13.4379i	0.781495	−	0.901893i
$223$	15.6208	+	4.58668i	1.04605	+	0.307147i	0.759219	−	0.650836i	$-0.225581\pi$
$223$	15.6208	+	4.58668i	1.04605	+	0.307147i	0.286827	+	0.957982i	$0.407400\pi$
$224$	3.43460	−	1.00849i	0.229484	−	0.0673825i
$225$	24.5673	+	53.7948i	1.63782	+	3.58632i
$226$	0.789854	−	5.49355i	0.0525403	−	0.365426i
$227$	−4.23997	−	9.28425i	−0.281417	−	0.616217i	0.715153	−	0.698968i	$-0.246357\pi$
$227$	−4.23997	−	9.28425i	−0.281417	−	0.616217i	−0.996570	+	0.0827505i	$0.973630\pi$
$228$	1.12943	−	1.30344i	0.0747986	−	0.0863222i
$229$	2.90307	+	20.1913i	0.191840	+	1.33428i	0.827132	+	0.562007i	$0.189971\pi$
$229$	2.90307	+	20.1913i	0.191840	+	1.33428i	−0.635292	+	0.772272i	$0.719120\pi$
$230$	−18.4409			−1.21595
$231$	−32.2460			−2.12163
$232$	0.459009	+	3.19248i	0.0301354	+	0.209596i
$233$	−13.8435	−	4.06482i	−0.906919	−	0.266296i	−0.205176	−	0.978725i	$-0.565777\pi$
$233$	−13.8435	−	4.06482i	−0.906919	−	0.266296i	−0.701744	+	0.712430i	$0.747595\pi$
$234$	11.0786	+	7.11980i	0.724232	+	0.465436i
$235$	18.0920	+	11.6270i	1.18019	+	0.758462i
$236$	−0.585236	−	0.171841i	−0.0380956	−	0.0111859i
$237$	−1.73509	−	12.0678i	−0.112706	−	0.783887i
$238$	4.57820			0.296761
$239$	−13.8481			−0.895761			−0.447881	−	0.894093i	$-0.647821\pi$
$239$	−13.8481			−0.895761			−0.447881	+	0.894093i	$0.647821\pi$
$240$	−1.65383	−	11.5026i	−0.106754	−	0.742492i
$241$	9.40856	−	10.8581i	0.606059	−	0.699429i	−0.366939	−	0.930245i	$-0.619594\pi$
$241$	9.40856	−	10.8581i	0.606059	−	0.699429i	0.972997	+	0.230816i	$0.0741396\pi$
$242$	−1.31580	−	2.88120i	−0.0845828	−	0.185210i
$243$	−4.58722	+	31.9048i	−0.294270	+	2.04670i
$244$	−2.36702	−	5.18306i	−0.151533	−	0.331811i
$245$	−20.1386	+	5.91322i	−1.28661	+	0.377782i
$246$	6.31045	+	1.85292i	0.402340	+	0.118138i
$247$	0.627800	−	0.724520i	0.0399460	−	0.0461001i
$248$	−5.81459	+	1.70732i	−0.369227	+	0.108415i
$249$	−0.371298	−	0.238619i	−0.0235300	−	0.0151218i
$250$	4.55136	−	9.96608i	0.287853	−	0.630310i
$251$	2.45911	+	5.38470i	0.155218	+	0.339879i	0.971226	−	0.238161i	$-0.0765447\pi$
$251$	2.45911	+	5.38470i	0.155218	+	0.339879i	−0.816008	+	0.578041i	$0.803817\pi$
$252$	17.2540	+	19.9122i	1.08690	+	1.25435i
$253$	−12.0257	−	7.72845i	−0.756049	−	0.485883i
$254$	−6.47571	+	14.1798i	−0.406322	+	0.889721i
$255$	2.11520	−	14.7115i	0.132459	−	0.921273i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−12.6133	−	14.5565i	−0.786793	−	0.908008i	0.210787	−	0.977532i	$-0.432397\pi$
$257$	−12.6133	−	14.5565i	−0.786793	−	0.908008i	−0.997580	+	0.0695241i	$0.977852\pi$
$258$	24.4922	+	7.19155i	1.52482	+	0.447726i
$259$	16.6350	−	10.6907i	1.03365	−	0.664287i
$260$	−0.919286	−	6.39378i	−0.0570117	−	0.396525i
$261$	−19.9713	+	12.8347i	−1.23619	+	0.794451i
$262$	10.7203	−	12.3719i	0.662303	−	0.764338i
$263$	−0.513798	−	0.592955i	−0.0316821	−	0.0365631i	0.739687	−	0.672951i	$-0.234973\pi$
$263$	−0.513798	−	0.592955i	−0.0316821	−	0.0365631i	−0.771370	+	0.636388i	$0.780428\pi$
$264$	3.74218	−	8.19423i	0.230315	−	0.504320i
$265$	−25.5806	+	7.51115i	−1.57140	+	0.461406i
$266$	1.61355	−	1.03697i	0.0989331	−	0.0635804i
$267$	−15.8808			−0.971892
$268$	7.57455	−	3.10260i	0.462689	−	0.189522i
$269$	−8.53757			−0.520545			−0.260272	−	0.965535i	$-0.583812\pi$
$269$	−8.53757			−0.520545			−0.260272	+	0.965535i	$0.583812\pi$
$270$	42.6289	−	27.3959i	2.59431	−	1.66726i
$271$	9.64771	−	2.83282i	0.586057	−	0.172082i	0.0247557	−	0.999694i	$-0.492119\pi$
$271$	9.64771	−	2.83282i	0.586057	−	0.172082i	0.561301	+	0.827612i	$0.310301\pi$
$272$	−0.531304	+	1.16339i	−0.0322151	+	0.0705411i
$273$	13.4997	+	15.5795i	0.817039	+	0.942913i
$274$	1.64799	−	1.90188i	0.0995588	−	0.114897i
$275$	18.9167	−	12.1570i	1.14072	−	0.733097i
$276$	2.33976	+	16.2734i	0.140837	+	0.979545i
$277$	−8.36658	+	5.37687i	−0.502699	+	0.323065i	−0.767295	−	0.641294i	$-0.778398\pi$
$277$	−8.36658	+	5.37687i	−0.502699	+	0.323065i	0.264596	+	0.964359i	$0.414761\pi$
$278$	−5.59543	−	1.64297i	−0.335592	−	0.0985386i
$279$	−29.2102	−	33.7104i	−1.74877	−	2.01819i
$280$	1.83922	−	12.7921i	0.109914	−	0.764472i
$281$	−2.31727	+	16.1170i	−0.138237	+	0.961458i	0.796125	+	0.605132i	$0.206880\pi$
$281$	−2.31727	+	16.1170i	−0.138237	+	0.961458i	−0.934362	+	0.356326i	$0.884029\pi$
$282$	7.96493	−	17.4408i	0.474305	−	1.03858i
$283$	18.0823	+	11.6208i	1.07488	+	0.690784i	0.953369	−	0.301806i	$-0.0975895\pi$
$283$	18.0823	+	11.6208i	1.07488	+	0.690784i	0.121511	+	0.992590i	$0.461226\pi$
$284$	2.06707	+	2.38553i	0.122658	+	0.141555i
$285$	−2.58669	−	5.66406i	−0.153222	−	0.335510i
$286$	2.08010	−	4.55479i	0.122999	−	0.269331i
$287$	6.15303	+	3.95431i	0.363202	+	0.233416i
$288$	−7.06236	+	2.07369i	−0.416153	+	0.122194i
$289$	10.0614	−	11.6115i	0.591849	−	0.683030i
$290$	11.1728	+	3.28063i	0.656090	+	0.192645i
$291$	−43.8636	+	12.8795i	−2.57133	+	0.755011i
$292$	5.06904	+	11.0997i	0.296643	+	0.649558i
$293$	3.22490	−	22.4297i	0.188401	−	1.31035i	−0.647749	−	0.761854i	$-0.724290\pi$
$293$	3.22490	−	22.4297i	0.188401	−	1.31035i	0.836150	−	0.548501i	$-0.184801\pi$
$294$	7.77338	+	17.0213i	0.453353	+	0.992704i
$295$	−1.44208	+	1.66424i	−0.0839609	+	0.0968961i
$296$	0.786164	+	5.46789i	0.0456949	+	0.317815i
$297$	39.2807			2.27930
$298$	−23.4914			−1.36082
$299$	1.30057	+	9.04564i	0.0752137	+	0.523123i
$300$	−24.8142	−	7.28609i	−1.43265	−	0.420663i
$301$	23.8812	+	15.3475i	1.37649	+	0.884615i
$302$	3.23870	+	2.08139i	0.186366	+	0.119770i
$303$	2.43017	+	0.713561i	0.139609	+	0.0409930i
$304$	0.0762556	+	0.530369i	0.00437356	+	0.0304188i
$305$	−20.5717			−1.17793
$306$	−9.41389			−0.538156
$307$	1.67591	+	11.6562i	0.0956490	+	0.665254i	0.980083	+	0.198588i	$0.0636356\pi$
$307$	1.67591	+	11.6562i	0.0956490	+	0.665254i	−0.884434	+	0.466665i	$0.845455\pi$
$308$	6.56047	−	7.57118i	0.373817	−	0.431408i
$309$	24.8382	+	54.3881i	1.41300	+	3.09403i
$310$	−3.11371	+	21.6563i	−0.176847	+	1.22999i
$311$	−8.20548	−	17.9675i	−0.465290	−	1.01884i	−0.986250	−	0.165262i	$-0.947153\pi$
$311$	−8.20548	−	17.9675i	−0.465290	−	1.01884i	0.520960	−	0.853581i	$-0.325574\pi$
$312$	−5.52565	+	1.62248i	−0.312828	+	0.0918547i
$313$	−3.89444	−	1.14351i	−0.220127	−	0.0646350i	0.169810	−	0.985477i	$-0.445685\pi$
$313$	−3.89444	−	1.14351i	−0.220127	−	0.0646350i	−0.389936	+	0.920842i	$0.627503\pi$
$314$	−1.03972	+	1.19990i	−0.0586750	+	0.0677145i
$315$	91.2711	−	26.7996i	5.14254	−	1.50999i
$316$	3.18645	+	2.04781i	0.179252	+	0.115198i
$317$	3.36264	−	7.36315i	0.188865	−	0.413556i	−0.791386	−	0.611317i	$-0.790640\pi$
$317$	3.36264	−	7.36315i	0.188865	−	0.413556i	0.980250	+	0.197761i	$0.0633671\pi$
$318$	9.87398	+	21.6210i	0.553705	+	1.21245i
$319$	5.91115	+	6.82183i	0.330961	+	0.381949i
$320$	3.03722	+	1.95190i	0.169786	+	0.109115i
$321$	−19.0086	+	41.6229i	−1.06095	+	2.32316i
$322$	−2.60205	+	18.0976i	−0.145007	+	1.00854i
$323$	−0.0975288	+	0.678328i	−0.00542665	+	0.0377432i
$324$	−15.1244	−	17.4545i	−0.840243	−	0.969692i
$325$	−13.7930	−	4.05000i	−0.765100	−	0.224654i
$326$	−10.0437	+	6.45469i	−0.556269	+	0.357492i
$327$	−7.82441	−	54.4200i	−0.432691	−	3.00943i
$328$	−1.71892	+	1.10468i	−0.0949114	+	0.0609958i
$329$	13.9634	−	16.1146i	0.769828	−	0.888429i
$330$	−21.2981	−	24.5793i	−1.17242	−	1.35305i
$331$	8.42571	−	18.4497i	0.463119	−	1.01409i	−0.523647	−	0.851935i	$-0.675429\pi$
$331$	8.42571	−	18.4497i	0.463119	−	1.01409i	0.986766	−	0.162153i	$-0.0518438\pi$
$332$	0.131567	−	0.0386315i	0.00722067	−	0.00212018i
$333$	−34.2056	+	21.9826i	−1.87446	+	1.20464i
$334$	−16.8466			−0.921805
$335$	1.17104	−	29.5288i	0.0639808	−	1.61333i
$336$	−11.5219			−0.628571
$337$	15.6696	−	10.0702i	0.853576	−	0.548560i	−0.0391122	−	0.999235i	$-0.512453\pi$
$337$	15.6696	−	10.0702i	0.853576	−	0.548560i	0.892688	+	0.450675i	$0.148817\pi$
$338$	9.40196	−	2.76066i	0.511399	−	0.150160i
$339$	−7.42112	+	16.2500i	−0.403060	+	0.882578i
$340$	3.02385	+	3.48971i	0.163991	+	0.189256i
$341$	−11.1065	+	12.8176i	−0.601453	+	0.694113i
$342$	−3.31785	+	2.13225i	−0.179409	+	0.115299i
$343$	−0.604441	−	4.20398i	−0.0326367	−	0.226994i
$344$	−6.67147	+	4.28750i	−0.359702	+	0.231166i
$345$	56.9526	+	16.7228i	3.06622	+	0.900325i
$346$	−5.61834	−	6.48391i	−0.302044	−	0.348577i
$347$	−2.35156	+	16.3554i	−0.126238	+	0.878006i	0.824024	+	0.566555i	$0.191724\pi$
$347$	−2.35156	+	16.3554i	−0.126238	+	0.878006i	−0.950262	+	0.311451i	$0.899185\pi$
$348$	1.47745	−	10.2759i	0.0791994	−	0.550844i
$349$	−4.59516	+	10.0620i	−0.245973	+	0.538607i	−0.991840	−	0.127489i	$-0.959308\pi$
$349$	−4.59516	+	10.0620i	−0.245973	+	0.538607i	0.745867	+	0.666095i	$0.232036\pi$
$350$	−24.1951	−	15.5493i	−1.29328	−	0.831143i
$351$	−16.4448	−	18.9783i	−0.877756	−	1.01298i
$352$	1.16261	+	2.54576i	0.0619673	+	0.135690i
$353$	−5.25998	+	11.5178i	−0.279961	+	0.613028i	−0.996414	−	0.0846062i	$-0.973037\pi$
$353$	−5.25998	+	11.5178i	−0.279961	+	0.613028i	0.716454	+	0.697635i	$0.245764\pi$
$354$	1.65161	+	1.06142i	0.0877820	+	0.0564140i
$355$	10.9345	−	3.21065i	0.580342	−	0.170404i
$356$	3.23096	−	3.72873i	0.171241	−	0.197622i
$357$	−14.1393	−	4.15167i	−0.748330	−	0.219730i
$358$	22.9253	−	6.73148i	1.21164	−	0.355770i
$359$	−10.1913	−	22.3159i	−0.537877	−	1.17779i	−0.962217	−	0.272284i	$-0.912221\pi$
$359$	−10.1913	−	22.3159i	−0.537877	−	1.17779i	0.424339	−	0.905503i	$-0.360506\pi$
$360$	−3.78188	+	26.3036i	−0.199323	+	1.38632i
$361$	−7.77362	−	17.0218i	−0.409138	−	0.895887i
$362$	3.45572	−	3.98811i	0.181629	−	0.209611i
$363$	1.45094	+	10.0915i	0.0761544	+	0.529665i
$364$	−6.40449			−0.335687
$365$	44.0548			2.30593
$366$	2.61012	+	18.1538i	0.136433	+	0.948915i
$367$	8.75831	+	2.57167i	0.457180	+	0.134240i	0.502210	−	0.864745i	$-0.332520\pi$
$367$	8.75831	+	2.57167i	0.457180	+	0.134240i	−0.0450304	+	0.998986i	$0.514338\pi$
$368$	−4.29693	−	2.76147i	−0.223993	−	0.143952i
$369$	−12.6521	−	8.13102i	−0.658643	−	0.423284i
$370$	19.1361	+	5.61888i	0.994841	+	0.292112i
$371$	3.76187	+	26.1644i	0.195306	+	1.35839i
$372$	19.5060			1.01134
$373$	19.0727			0.987549			0.493774	−	0.869590i	$-0.335617\pi$
$373$	19.0727			0.987549			0.493774	+	0.869590i	$0.335617\pi$
$374$	0.509405	+	3.54299i	0.0263407	+	0.183204i
$375$	−23.0939	+	26.6518i	−1.19257	+	1.37630i
$376$	2.47452	+	5.41845i	0.127614	+	0.279435i
$377$	0.821243	−	5.71187i	0.0422962	−	0.294176i
$378$	−20.8710	−	45.7012i	−1.07349	−	2.35061i
$379$	−5.22390	+	1.53388i	−0.268334	+	0.0787899i	−0.413131	−	0.910671i	$-0.635565\pi$
$379$	−5.22390	+	1.53388i	−0.268334	+	0.0787899i	0.144798	+	0.989461i	$0.453747\pi$
$380$	1.85615	+	0.545015i	0.0952185	+	0.0279587i
$381$	32.8583	−	37.9205i	1.68338	−	1.94272i
$382$	−25.4539	+	7.47394i	−1.30233	+	0.382400i
$383$	−5.25029	−	3.37415i	−0.268277	−	0.172411i	0.399585	−	0.916696i	$-0.369154\pi$
$383$	−5.25029	−	3.37415i	−0.268277	−	0.172411i	−0.667862	+	0.744285i	$0.732791\pi$
$384$	1.33713	−	2.92790i	0.0682350	−	0.149414i
$385$	−15.0251	−	32.9004i	−0.765751	−	1.67676i
$386$	−10.0652	−	11.6158i	−0.512303	−	0.591229i
$387$	−49.1054	−	31.5582i	−2.49617	−	1.60419i
$388$	5.90003	−	12.9193i	0.299529	−	0.655877i
$389$	1.96469	−	13.6647i	0.0996137	−	0.692829i	−0.877417	−	0.479729i	$-0.840735\pi$
$389$	1.96469	−	13.6647i	0.0996137	−	0.692829i	0.977030	−	0.213100i	$-0.0683559\pi$
$390$	−2.95898	+	20.5801i	−0.149834	+	1.04212i
$391$	−4.27801	−	4.93708i	−0.216348	−	0.249679i
$392$	−5.57801	−	1.63785i	−0.281732	−	0.0827239i
$393$	−44.3278	+	28.4877i	−2.23604	+	1.43702i
$394$	3.11282	+	21.6501i	0.156821	+	1.09072i
$395$	11.5042	−	7.39331i	0.578840	−	0.371998i
$396$	−13.4899	+	15.5682i	−0.677893	+	0.782330i
$397$	−6.45417	−	7.44851i	−0.323926	−	0.373830i	0.570308	−	0.821431i	$-0.306824\pi$
$397$	−6.45417	−	7.44851i	−0.323926	−	0.373830i	−0.894233	+	0.447601i	$0.852278\pi$
$398$	1.43142	−	3.13438i	0.0717508	−	0.157112i
$399$	−5.92363	+	1.73933i	−0.296552	+	0.0870756i
$400$	6.75918	−	4.34386i	0.337959	−	0.217193i
$401$	29.4952			1.47292			0.736460	−	0.676481i	$-0.236496\pi$
$401$	29.4952			1.47292			0.736460	+	0.676481i	$0.236496\pi$
$402$	−26.2067	+	2.71319i	−1.30707	+	0.135322i
$403$	10.8425			0.540102
$404$	−0.661958	+	0.425415i	−0.0329336	+	0.0211652i
$405$	−80.0055	+	23.4917i	−3.97551	+	1.16731i
$406$	4.79608	−	10.5020i	0.238026	−	0.521203i
$407$	10.1243	+	11.6840i	0.501842	+	0.579156i
$408$	2.69588	−	3.11121i	0.133466	−	0.154028i
$409$	0.880982	−	0.566173i	0.0435617	−	0.0279954i	−0.518679	−	0.854969i	$-0.673576\pi$
$409$	0.880982	−	0.566173i	0.0435617	−	0.0279954i	0.562240	+	0.826974i	$0.309940\pi$
$410$	1.04985	+	7.30188i	0.0518485	+	0.360614i
$411$	−6.81433	+	4.37931i	−0.336126	+	0.216015i
$412$	−17.8234	−	5.23341i	−0.878094	−	0.257832i
$413$	1.42979	+	1.65007i	0.0703554	+	0.0811944i
$414$	5.35044	−	37.2131i	0.262960	−	1.82893i
$415$	0.0704539	−	0.490017i	0.00345844	−	0.0240540i
$416$	0.743247	−	1.62748i	0.0364407	−	0.0797939i
$417$	15.7910	+	10.1483i	0.773288	+	0.496962i
$418$	0.982025	+	1.13332i	0.0480324	+	0.0554324i
$419$	12.5215	+	27.4182i	0.611713	+	1.33947i	0.921396	+	0.388626i	$0.127050\pi$
$419$	12.5215	+	27.4182i	0.611713	+	1.33947i	−0.309682	+	0.950840i	$0.600223\pi$
$420$	−17.2805	+	37.8390i	−0.843202	+	1.84635i
$421$	26.6541	+	17.1295i	1.29904	+	0.834842i	0.993107	−	0.117211i	$-0.0373953\pi$
$421$	26.6541	+	17.1295i	1.29904	+	0.834842i	0.305933	+	0.952053i	$0.401032\pi$
$422$	−5.15331	+	1.51315i	−0.250859	+	0.0736589i
$423$	−28.7122	+	33.1356i	−1.39603	+	1.61111i
$424$	−7.08535	−	2.08045i	−0.344095	−	0.101035i
$425$	9.85984	−	2.89511i	0.478273	−	0.140434i
$426$	−4.22065	−	9.24193i	−0.204491	−	0.447773i
$427$	−2.90272	+	20.1888i	−0.140472	+	0.977006i
$428$	−5.90552	−	12.9313i	−0.285454	−	0.625058i
$429$	−10.5546	+	12.1807i	−0.509582	+	0.588089i
$430$	4.07469	+	28.3401i	0.196499	+	1.36668i
$431$	25.2485			1.21618			0.608088	−	0.793870i	$-0.291937\pi$
$431$	25.2485			1.21618			0.608088	+	0.793870i	$0.291937\pi$
$432$	14.0355			0.675283
$433$	−5.09403	−	35.4298i	−0.244804	−	1.70265i	−0.627373	−	0.778719i	$-0.715870\pi$
$433$	−5.09403	−	35.4298i	−0.244804	−	1.70265i	0.382569	−	0.923927i	$-0.375039\pi$
$434$	20.8139	+	6.11151i	0.999099	+	0.293362i
$435$	−31.5310	−	20.2638i	−1.51180	−	0.971573i
$436$	14.3694	+	9.23464i	0.688168	+	0.442259i
$437$	−2.62600	−	0.771063i	−0.125619	−	0.0368850i
$438$	−5.58965	−	38.8769i	−0.267084	−	1.85761i
$439$	1.04363			0.0498096			0.0249048	−	0.999690i	$-0.492072\pi$
$439$	1.04363			0.0498096			0.0249048	+	0.999690i	$0.492072\pi$
$440$	10.1042			0.481699
$441$	−6.08969	−	42.3547i	−0.289985	−	2.01689i
$442$	1.49851	−	1.72938i	0.0712771	−	0.0822581i
$443$	9.61658	+	21.0574i	0.456897	+	1.00047i	0.988184	+	0.153273i	$0.0489815\pi$
$443$	9.61658	+	21.0574i	0.456897	+	1.00047i	−0.531287	+	0.847192i	$0.678291\pi$
$444$	2.53048	−	17.5999i	0.120091	−	0.835255i
$445$	−7.39971	−	16.2031i	−0.350780	−	0.768101i
$446$	15.6208	−	4.58668i	0.739666	−	0.217186i
$447$	72.5505	+	21.3028i	3.43152	+	1.00759i
$448$	2.34414	−	2.70528i	0.110750	−	0.127812i
$449$	−24.0847	+	7.07189i	−1.13663	+	0.333743i	−0.795308	−	0.606205i	$-0.792691\pi$
$449$	−24.0847	+	7.07189i	−1.13663	+	0.333743i	−0.341317	+	0.939948i	$0.610873\pi$
$450$	49.7510	+	31.9730i	2.34528	+	1.50722i
$451$	−2.37554	+	5.20171i	−0.111860	+	0.244939i
$452$	−2.30557	−	5.04850i	−0.108445	−	0.237461i
$453$	−8.11490	−	9.36510i	−0.381271	−	0.440011i
$454$	−8.58634	−	5.51810i	−0.402977	−	0.258977i
$455$	−9.60543	+	21.0329i	−0.450309	+	0.986040i
$456$	0.245450	−	1.70714i	0.0114942	−	0.0799441i
$457$	−4.89082	+	34.0164i	−0.228783	+	1.59122i	0.474464	+	0.880275i	$0.342642\pi$
$457$	−4.89082	+	34.0164i	−0.228783	+	1.59122i	−0.703247	+	0.710946i	$0.748267\pi$
$458$	13.3585	+	15.4165i	0.624200	+	0.720366i
$459$	17.2239	+	5.05738i	0.803941	+	0.236058i
$460$	−15.5134	+	9.96988i	−0.723318	+	0.464848i
$461$	0.0815180	+	0.566970i	0.00379667	+	0.0264064i	0.991632	−	0.129099i	$-0.0412085\pi$
$461$	0.0815180	+	0.566970i	0.00379667	+	0.0264064i	−0.987835	+	0.155505i	$0.950299\pi$
$462$	−27.1271	+	17.4335i	−1.26207	+	0.811081i
$463$	12.1418	−	14.0124i	0.564280	−	0.651213i	−0.399870	−	0.916572i	$-0.630945\pi$
$463$	12.1418	−	14.0124i	0.564280	−	0.651213i	0.964150	+	0.265358i	$0.0854903\pi$
$464$	2.11213	+	2.43752i	0.0980530	+	0.113159i
$465$	29.2550	−	64.0595i	1.35667	−	2.97069i
$466$	−13.8435	+	4.06482i	−0.641289	+	0.188299i
$467$	−7.58057	+	4.87174i	−0.350787	+	0.225437i	−0.704153	−	0.710048i	$-0.748673\pi$
$467$	−7.58057	+	4.87174i	−0.350787	+	0.225437i	0.353366	+	0.935485i	$0.385037\pi$
$468$	13.1692			0.608746
$469$	−28.8140	−	5.31583i	−1.33051	−	0.245462i
$470$	21.5060			0.991996
$471$	4.29919	−	2.76292i	0.198096	−	0.127309i
$472$	−0.585236	+	0.171841i	−0.0269377	+	0.00790962i
$473$	−9.21996	+	20.1889i	−0.423934	+	0.928287i
$474$	−7.98399	−	9.21401i	−0.366717	−	0.423214i
$475$	2.81928	−	3.25362i	0.129357	−	0.149286i
$476$	3.85143	−	2.47516i	0.176530	−	0.113449i
$477$	−7.73531	−	53.8002i	−0.354175	−	2.46334i
$478$	−11.6498	+	7.48686i	−0.532849	+	0.342441i
$479$	26.8685	+	7.88930i	1.22765	+	0.360471i	0.830364	−	0.557222i	$-0.188133\pi$
$479$	26.8685	+	7.88930i	1.22765	+	0.360471i	0.397289	+	0.917693i	$0.369951\pi$
$480$	−7.61008	−	8.78250i	−0.347351	−	0.400864i
$481$	1.40658	−	9.78297i	0.0641345	−	0.446065i
$482$	2.04468	−	14.2210i	0.0931324	−	0.647750i
$483$	24.4477	−	53.5330i	1.11241	−	2.43584i
$484$	−2.66461	−	1.71244i	−0.121119	−	0.0778384i
$485$	−33.5793	−	38.7525i	−1.52476	−	1.75966i
$486$	13.3900	+	29.3201i	0.607384	+	1.32999i
$487$	−8.62494	+	18.8860i	−0.390834	+	0.855806i	0.607285	+	0.794484i	$0.292259\pi$
$487$	−8.62494	+	18.8860i	−0.390834	+	0.855806i	−0.998118	+	0.0613216i	$0.980468\pi$
$488$	−4.79344	−	3.08056i	−0.216989	−	0.139450i
$489$	36.8722	−	10.8267i	1.66742	−	0.489598i
$490$	−13.7447	+	15.8623i	−0.620923	+	0.716584i
$491$	−27.6474	−	8.11802i	−1.24771	−	0.366361i	−0.409804	−	0.912174i	$-0.634403\pi$
$491$	−27.6474	−	8.11802i	−1.24771	−	0.366361i	−0.837907	+	0.545813i	$0.816221\pi$
$492$	6.31045	−	1.85292i	0.284497	−	0.0835359i
$493$	1.71362	+	3.75230i	0.0771775	+	0.168995i
$494$	0.136434	−	0.948919i	0.00613846	−	0.0426939i
$495$	30.8953	+	67.6512i	1.38864	+	3.04069i
$496$	−3.96850	+	4.57989i	−0.178191	+	0.205643i
$497$	−1.60802	−	11.1840i	−0.0721294	−	0.501671i
$498$	−0.441363			−0.0197779
$499$	29.4221			1.31711			0.658556	−	0.752531i	$-0.271167\pi$
$499$	29.4221			1.31711			0.658556	+	0.752531i	$0.271167\pi$
$500$	−1.55923	−	10.8447i	−0.0697307	−	0.484988i
$501$	52.0289	+	15.2771i	2.32448	+	0.682529i
$502$	4.97992	+	3.20040i	0.222265	+	0.142841i
$503$	−16.1111	−	10.3539i	−0.718356	−	0.461660i	0.129708	−	0.991552i	$-0.458596\pi$
$503$	−16.1111	−	10.3539i	−0.718356	−	0.461660i	−0.848065	+	0.529893i	$0.822232\pi$
$504$	25.2804	+	7.42299i	1.12608	+	0.330646i
$505$	0.404300	+	2.81197i	0.0179911	+	0.125131i
$506$	−14.2950			−0.635489
$507$	−31.5404			−1.40076
$508$	2.21848	+	15.4299i	0.0984291	+	0.684589i
$509$	−16.4731	+	19.0110i	−0.730158	+	0.842647i	−0.992489	−	0.122331i	$-0.960963\pi$
$509$	−16.4731	+	19.0110i	−0.730158	+	0.842647i	0.262332	+	0.964978i	$0.415509\pi$
$510$	−6.17424	−	13.5197i	−0.273400	−	0.598663i
$511$	6.21624	−	43.2349i	0.274990	−	1.91260i
$512$	0.415415	+	0.909632i	0.0183589	+	0.0402004i
$513$	7.21591	−	2.11878i	0.318590	−	0.0935465i
$514$	−18.4808	−	5.42644i	−0.815152	−	0.239350i
$515$	−43.9184	+	50.6845i	−1.93528	+	2.23343i
$516$	24.4922	−	7.19155i	1.07821	−	0.316590i
$517$	14.0245	+	9.01301i	0.616798	+	0.396392i
$518$	8.21446	−	17.9872i	0.360923	−	0.790310i
$519$	11.4718	+	25.1198i	0.503556	+	1.10263i
$520$	−4.23009	−	4.88178i	−0.185502	−	0.214080i
$521$	32.7535	+	21.0494i	1.43496	+	0.922191i	0.999761	+	0.0218558i	$0.00695747\pi$
$521$	32.7535	+	21.0494i	1.43496	+	0.922191i	0.435197	+	0.900335i	$0.356679\pi$
$522$	−9.86190	+	21.5946i	−0.431644	+	0.945168i
$523$	−0.996342	+	6.92971i	−0.0435670	+	0.303015i	0.956374	+	0.292145i	$0.0943691\pi$
$523$	−0.996342	+	6.92971i	−0.0435670	+	0.303015i	−0.999941	+	0.0108698i	$0.996540\pi$
$524$	2.32975	−	16.2037i	0.101775	−	0.707864i
$525$	60.6234	+	69.9631i	2.64582	+	3.05344i
$526$	−0.752810	−	0.221045i	−0.0328241	−	0.00963802i
$527$	−6.52027	+	4.19032i	−0.284027	+	0.182533i
$528$	−1.28201	−	8.91660i	−0.0557925	−	0.388045i
$529$	2.59891	−	1.67022i	0.112996	−	0.0726182i
$530$	−17.4590	+	20.1487i	−0.758368	+	0.875204i
$531$	−2.93999	−	3.39293i	−0.127585	−	0.147241i
$532$	0.796778	−	1.74470i	0.0345447	−	0.0756424i
$533$	3.50769	−	1.02995i	0.151935	−	0.0446121i
$534$	−13.3598	+	8.58583i	−0.578136	+	0.371545i
$535$	−51.3247			−2.21896
$536$	4.69473	−	6.70519i	0.202781	−	0.289620i
$537$	−76.9067			−3.31877
$538$	−7.18226	+	4.61576i	−0.309649	+	0.198999i
$539$	−15.6110	+	4.58381i	−0.672414	+	0.197439i
$540$	21.0504	−	46.0939i	0.905863	−	1.98356i
$541$	−3.77535	−	4.35699i	−0.162315	−	0.187321i	0.668766	−	0.743473i	$-0.266823\pi$
$541$	−3.77535	−	4.35699i	−0.162315	−	0.187321i	−0.831081	+	0.556152i	$0.812277\pi$
$542$	6.58463	−	7.59907i	0.282834	−	0.326408i
$543$	−14.2892	+	9.18310i	−0.613207	+	0.394084i
$544$	0.182017	+	1.26595i	0.00780390	+	0.0542773i
$545$	51.8785	−	33.3403i	2.22223	−	1.42814i
$546$	19.7796	+	5.80781i	0.846488	+	0.248551i
$547$	−6.71179	−	7.74582i	−0.286976	−	0.331187i	0.593897	−	0.804541i	$-0.297589\pi$
$547$	−6.71179	−	7.74582i	−0.286976	−	0.331187i	−0.880872	+	0.473354i	$0.843043\pi$
$548$	0.358143	−	2.49094i	0.0152991	−	0.106408i
$549$	5.96868	−	41.5131i	0.254737	−	1.77174i
$550$	9.34117	−	20.4543i	0.398309	−	0.872175i
$551$	1.45385	+	0.934332i	0.0619360	+	0.0398039i
$552$	10.7664	+	12.4251i	0.458249	+	0.528847i
$553$	−5.63244	−	12.3333i	−0.239516	−	0.524466i
$554$	−4.13146	+	9.04663i	−0.175529	+	0.384354i
$555$	−54.0045	−	34.7066i	−2.29236	−	1.47321i
$556$	−5.59543	+	1.64297i	−0.237299	+	0.0696773i
$557$	−2.78920	+	3.21891i	−0.118182	+	0.136390i	−0.811758	−	0.583994i	$-0.801489\pi$
$557$	−2.78920	+	3.21891i	−0.118182	+	0.136390i	0.693575	+	0.720384i	$0.256034\pi$
$558$	−42.7984	−	12.5667i	−1.81180	−	0.531992i
$559$	13.6141	−	3.99745i	0.575813	−	0.169074i
$560$	−5.36866	−	11.7557i	−0.226867	−	0.496770i
$561$	1.63966	−	11.4041i	0.0692265	−	0.481481i
$562$	6.76408	+	14.8113i	0.285326	+	0.624776i
$563$	5.63153	−	6.49913i	0.237341	−	0.273906i	−0.624567	−	0.780971i	$-0.714724\pi$
$563$	5.63153	−	6.49913i	0.237341	−	0.273906i	0.861907	+	0.507066i	$0.169270\pi$
$564$	−2.72866	−	18.9783i	−0.114897	−	0.799129i
$565$	−20.0376			−0.842989
$566$	21.4945			0.903480
$567$	11.7656	+	81.8312i	0.494107	+	3.43659i
$568$	3.02865	+	0.889291i	0.127079	+	0.0373138i
$569$	−26.7060	−	17.1629i	−1.11958	−	0.719508i	−0.156217	−	0.987723i	$-0.549930\pi$
$569$	−26.7060	−	17.1629i	−1.11958	−	0.719508i	−0.963359	+	0.268215i	$0.913566\pi$
$570$	−5.23828	−	3.36644i	−0.219407	−	0.141005i
$571$	−7.69849	−	2.26048i	−0.322172	−	0.0945982i	0.116648	−	0.993173i	$-0.462785\pi$
$571$	−7.69849	−	2.26048i	−0.322172	−	0.0945982i	−0.438820	+	0.898575i	$0.644603\pi$
$572$	−0.712612	−	4.95633i	−0.0297958	−	0.207234i
$573$	85.3892			3.56719
$574$	7.31412			0.305285
$575$	5.84048	+	40.6215i	0.243565	+	1.69403i
$576$	−4.82011	+	5.56270i	−0.200838	+	0.231779i
$577$	−13.0098	−	28.4874i	−0.541603	−	1.18595i	−0.960594	−	0.277955i	$-0.910343\pi$
$577$	−13.0098	−	28.4874i	−0.541603	−	1.18595i	0.418991	−	0.907990i	$-0.362384\pi$
$578$	2.18656	−	15.2078i	0.0909488	−	0.632563i
$579$	20.5515	+	45.0016i	0.854093	+	1.87020i
$580$	11.1728	−	3.28063i	0.463926	−	0.136221i
$581$	−0.470956	−	0.138285i	−0.0195386	−	0.00573704i
$582$	−29.9372	+	34.5494i	−1.24094	+	1.43212i
$583$	−19.8296	+	5.82249i	−0.821257	+	0.241143i
$584$	10.2653	+	6.59709i	0.424780	+	0.272990i
$585$	19.7511	−	43.2488i	0.816606	−	1.78812i
$586$	−9.41343	−	20.6125i	−0.388865	−	0.851496i
$587$	5.71374	+	6.59400i	0.235831	+	0.272164i	0.861313	−	0.508075i	$-0.169643\pi$
$587$	5.71374	+	6.59400i	0.235831	+	0.272164i	−0.625481	+	0.780239i	$0.715097\pi$
$588$	15.7418	+	10.1166i	0.649181	+	0.417203i
$589$	−1.34891	+	2.95369i	−0.0555807	+	0.121705i
$590$	−0.313393	+	2.17970i	−0.0129022	+	0.0897367i
$591$	10.0195	−	69.6868i	0.412145	−	2.86653i
$592$	3.61753	+	4.17485i	0.148679	+	0.171585i
$593$	−12.9737	−	3.80942i	−0.532766	−	0.156434i	0.00427399	−	0.999991i	$-0.498640\pi$
$593$	−12.9737	−	3.80942i	−0.532766	−	0.156434i	−0.537040	+	0.843557i	$0.680458\pi$
$594$	33.0451	−	21.2368i	1.35586	−	0.871355i
$595$	−2.35231	−	16.3607i	−0.0964354	−	0.670723i
$596$	−19.7622	+	12.7004i	−0.809491	+	0.520228i
$597$	−7.26316	+	8.38213i	−0.297261	+	0.343058i
$598$	5.98455	+	6.90654i	0.244726	+	0.282429i
$599$	−3.30259	+	7.23165i	−0.134940	+	0.295477i	−0.965024	−	0.262161i	$-0.915565\pi$
$599$	−3.30259	+	7.23165i	−0.134940	+	0.295477i	0.830084	+	0.557638i	$0.188292\pi$
$600$	−24.8142	+	7.28609i	−1.01303	+	0.297453i
$601$	−10.7250	+	6.89256i	−0.437483	+	0.281153i	−0.740786	−	0.671741i	$-0.765547\pi$
$601$	−10.7250	+	6.89256i	−0.437483	+	0.281153i	0.303303	+	0.952894i	$0.401911\pi$
$602$	28.3876			1.15699
$603$	59.2485	+	10.9306i	2.41279	+	0.445130i
$604$	3.84985			0.156648
$605$	−9.62020	+	6.18253i	−0.391117	+	0.251356i
$606$	2.43017	−	0.713561i	0.0987187	−	0.0289864i
$607$	−6.47147	+	14.1705i	−0.262669	+	0.575165i	−0.994310	−	0.106525i	$-0.966027\pi$
$607$	−6.47147	+	14.1705i	−0.262669	+	0.575165i	0.731641	+	0.681690i	$0.238755\pi$
$608$	0.350890	+	0.404948i	0.0142305	+	0.0164228i
$609$	−24.3357	+	28.0849i	−0.986133	+	1.13806i
$610$	−17.3060	+	11.1219i	−0.700700	+	0.450313i
$611$	−1.51674	−	10.5491i	−0.0613606	−	0.426772i
$612$	−7.91947	+	5.08953i	−0.320125	+	0.205732i
$613$	−1.85969	−	0.546055i	−0.0751123	−	0.0220550i	0.243961	−	0.969785i	$-0.421553\pi$
$613$	−1.85969	−	0.546055i	−0.0751123	−	0.0220550i	−0.319073	+	0.947730i	$0.603371\pi$
$614$	7.71167	+	8.89974i	0.311218	+	0.359164i
$615$	3.37924	−	23.5031i	0.136264	−	0.947737i
$616$	1.42573	−	9.91614i	0.0574441	−	0.399533i
$617$	2.22184	−	4.86515i	0.0894480	−	0.195864i	−0.859621	−	0.510932i	$-0.829300\pi$
$617$	2.22184	−	4.86515i	0.0894480	−	0.195864i	0.949069	+	0.315069i	$0.102028\pi$
$618$	50.2997	+	32.3256i	2.02335	+	1.30033i
$619$	29.9269	+	34.5375i	1.20286	+	1.38818i	0.900425	+	0.435011i	$0.143256\pi$
$619$	29.9269	+	34.5375i	1.20286	+	1.38818i	0.302439	+	0.953169i	$0.402199\pi$
$620$	9.08886	+	19.9018i	0.365017	+	0.799277i
$621$	−29.7811	+	65.2116i	−1.19508	+	2.61685i
$622$	−16.6169	−	10.6790i	−0.666275	−	0.428189i
$623$	−16.9457	+	4.97570i	−0.678914	+	0.199347i
$624$	−3.77129	+	4.35231i	−0.150973	+	0.174232i
$625$	0.592601	+	0.174003i	0.0237041	+	0.00696014i
$626$	−3.89444	+	1.14351i	−0.155653	+	0.0457039i
$627$	−2.00515	−	4.39066i	−0.0800779	−	0.175346i
$628$	−0.225953	+	1.57154i	−0.00901652	+	0.0627113i
$629$	2.93499	+	6.42673i	0.117026	+	0.256250i
$630$	62.2931	−	71.8901i	2.48182	−	2.86417i
$631$	2.76253	+	19.2138i	0.109975	+	0.764890i	0.967940	+	0.251182i	$0.0808193\pi$
$631$	2.76253	+	19.2138i	0.109975	+	0.764890i	−0.857965	+	0.513708i	$0.828272\pi$
$632$	3.78774			0.150668
$633$	17.2876			0.687121
$634$	−1.15199	−	8.01226i	−0.0457513	−	0.318207i
$635$	54.0004	+	15.8559i	2.14294	+	0.629224i
$636$	19.9957	+	12.8505i	0.792882	+	0.509554i
$637$	8.75014	+	5.62337i	0.346693	+	0.222806i
$638$	8.66093	+	2.54308i	0.342890	+	0.100681i
$639$	3.30647	+	22.9970i	0.130802	+	0.909748i
$640$	3.61035			0.142712
$641$	14.3063			0.565066			0.282533	−	0.959258i	$-0.408825\pi$
$641$	14.3063			0.565066			0.282533	+	0.959258i	$0.408825\pi$
$642$	6.51204	+	45.2922i	0.257010	+	1.78754i
$643$	−10.2695	+	11.8516i	−0.404990	+	0.467383i	−0.921206	−	0.389075i	$-0.872795\pi$
$643$	−10.2695	+	11.8516i	−0.404990	+	0.467383i	0.516216	+	0.856458i	$0.327340\pi$
$644$	7.59534	+	16.6315i	0.299298	+	0.655372i
$645$	13.1155	−	91.2204i	0.516423	−	3.59180i
$646$	0.284685	+	0.623374i	0.0112008	+	0.0245263i
$647$	39.7205	−	11.6630i	1.56158	−	0.458520i	0.617041	−	0.786931i	$-0.288331\pi$
$647$	39.7205	−	11.6630i	1.56158	−	0.458520i	0.944535	+	0.328411i	$0.106513\pi$
$648$	−22.1600	−	6.50677i	−0.870528	−	0.255610i
$649$	−1.11787	+	1.29009i	−0.0438801	+	0.0506404i
$650$	−13.7930	+	4.05000i	−0.541007	+	0.158854i
$651$	−58.7393	−	37.7495i	−2.30217	−	1.47952i
$652$	−4.95962	+	10.8601i	−0.194234	+	0.425313i
$653$	−13.9528	−	30.5523i	−0.546013	−	1.19560i	−0.958619	−	0.284693i	$-0.908108\pi$
$653$	−13.9528	−	30.5523i	−0.546013	−	1.19560i	0.412605	−	0.910910i	$-0.364619\pi$
$654$	−36.0040	−	41.5508i	−1.40787	−	1.62476i
$655$	−49.7204	−	31.9534i	−1.94274	−	1.24852i
$656$	−0.848810	+	1.85863i	−0.0331405	+	0.0725675i
$657$	−12.7821	+	88.9014i	−0.498677	+	3.46837i
$658$	3.03454	−	21.1057i	0.118299	−	0.822786i
$659$	−28.4546	−	32.8384i	−1.10843	−	1.27920i	−0.956794	−	0.290766i	$-0.906090\pi$
$659$	−28.4546	−	32.8384i	−1.10843	−	1.27920i	−0.151641	−	0.988436i	$-0.548456\pi$
$660$	−31.2057	−	9.16282i	−1.21468	−	0.356662i
$661$	−35.4473	+	22.7806i	−1.37874	+	0.886063i	−0.999234	−	0.0391257i	$-0.987543\pi$
$661$	−35.4473	+	22.7806i	−1.37874	+	0.886063i	−0.379507	+	0.925189i	$0.623906\pi$
$662$	−2.88652	−	20.0762i	−0.112188	−	0.780283i
$663$	−6.19626	+	3.98209i	−0.240643	+	0.154652i
$664$	0.0897954	−	0.103629i	0.00348474	−	0.00402160i
$665$	−4.53476	−	5.23339i	−0.175850	−	0.202942i
$666$	−16.8909	+	36.9859i	−0.654509	+	1.43318i
$667$	−15.8068	+	4.64130i	−0.612042	+	0.179712i
$668$	−14.1723	+	9.10796i	−0.548341	+	0.352398i
$669$	−52.4025			−2.02600
$670$	−14.9793	−	25.4743i	−0.578702	−	0.984159i
$671$	−15.9468			−0.615618
$672$	−9.69284	+	6.22921i	−0.373910	+	0.240297i
$673$	−38.9447	+	11.4352i	−1.50121	+	0.440795i	−0.926099	−	0.377281i	$-0.876859\pi$
$673$	−38.9447	+	11.4352i	−1.50121	+	0.440795i	−0.575110	+	0.818076i	$0.695041\pi$
$674$	7.73771	−	16.9432i	0.298045	−	0.652628i
$675$	−73.8488	−	85.2261i	−2.84244	−	3.28035i
$676$	6.41690	−	7.40550i	0.246804	−	0.284827i
$677$	−3.56850	+	2.29333i	−0.137149	+	0.0881400i	−0.607416	−	0.794384i	$-0.707794\pi$
$677$	−3.56850	+	2.29333i	−0.137149	+	0.0881400i	0.470267	+	0.882524i	$0.344157\pi$
$678$	2.54236	+	17.6825i	0.0976388	+	0.679093i
$679$	−42.7694	+	27.4862i	−1.64134	+	1.05482i
$680$	4.43050	+	1.30091i	0.169902	+	0.0498877i
$681$	21.5140	+	24.8284i	0.824417	+	0.951428i
$682$	−2.41368	+	16.7875i	−0.0924246	+	0.642827i
$683$	2.12757	−	14.7976i	0.0814091	−	0.566213i	−0.907766	−	0.419476i	$-0.862214\pi$
$683$	2.12757	−	14.7976i	0.0814091	−	0.566213i	0.989176	−	0.146737i	$-0.0468770\pi$
$684$	−1.63837	+	3.58753i	−0.0626446	+	0.137173i
$685$	−7.64333	−	4.91207i	−0.292037	−	0.187681i
$686$	−2.78133	−	3.20983i	−0.106192	−	0.122552i
$687$	−27.2760	−	59.7261i	−1.04064	−	2.27869i
$688$	−3.29441	+	7.21374i	−0.125598	+	0.275021i
$689$	11.1147	+	7.14298i	0.423436	+	0.272126i
$690$	56.9526	−	16.7228i	2.16815	−	0.636626i
$691$	15.7972	−	18.2309i	0.600952	−	0.693535i	−0.371022	−	0.928624i	$-0.620993\pi$
$691$	15.7972	−	18.2309i	0.600952	−	0.693535i	0.971974	+	0.235089i	$0.0755380\pi$
$692$	−8.23192	−	2.41711i	−0.312930	−	0.0918847i
$693$	70.7515	−	20.7745i	2.68763	−	0.789158i
$694$	6.86416	+	15.0304i	0.260560	+	0.570547i
$695$	−2.99635	+	20.8400i	−0.113658	+	0.790508i
$696$	−4.31264	−	9.44337i	−0.163470	−	0.357950i
$697$	−1.71135	+	1.97500i	−0.0648219	+	0.0748085i
$698$	1.57423	+	10.9490i	0.0595856	+	0.414427i
$699$	46.4403			1.75653
$700$	−28.7608			−1.08706
$701$	−2.95351	−	20.5421i	−0.111553	−	0.775866i	−0.966410	−	0.257004i	$-0.917265\pi$
$701$	−2.95351	−	20.5421i	−0.111553	−	0.775866i	0.854858	−	0.518862i	$-0.173644\pi$
$702$	−24.0946	−	7.07482i	−0.909393	−	0.267022i
$703$	2.49007	+	1.60027i	0.0939147	+	0.0603553i
$704$	2.35439	+	1.51308i	0.0887345	+	0.0570262i
$705$	−66.4188	−	19.5023i	−2.50148	−	0.734500i
$706$	1.80199	+	12.5331i	0.0678188	+	0.471690i
$707$	2.81668			0.105932
$708$	1.96327			0.0737842
$709$	−4.75571	−	33.0767i	−0.178604	−	1.24222i	−0.859996	−	0.510301i	$-0.829534\pi$
$709$	−4.75571	−	33.0767i	−0.178604	−	1.24222i	0.681391	−	0.731919i	$-0.261375\pi$
$710$	7.46286	−	8.61260i	0.280076	−	0.323225i
$711$	11.5817	+	25.3603i	0.434346	+	0.951085i
$712$	0.702155	−	4.88360i	0.0263144	−	0.183021i
$713$	−12.8585	−	28.1562i	−0.481556	−	1.05446i
$714$	−14.1393	+	4.15167i	−0.529149	+	0.155372i
$715$	−17.3458	−	5.09319i	−0.648696	−	0.190474i
$716$	15.6467	−	18.0572i	0.584744	−	0.674831i
$717$	42.7684	−	12.5579i	1.59722	−	0.468985i
$718$	−20.6384	−	13.2635i	−0.770217	−	0.494988i
$719$	−6.42703	+	14.0732i	−0.239688	+	0.524843i	−0.990800	−	0.135331i	$-0.956790\pi$
$719$	−6.42703	+	14.0732i	−0.239688	+	0.524843i	0.751113	+	0.660174i	$0.229518\pi$
$720$	11.0393	+	24.1726i	0.411409	+	0.900859i
$721$	43.5442	+	50.2527i	1.62167	+	1.87151i
$722$	−15.7423	−	10.1170i	−0.585867	−	0.376514i
$723$	−19.2109	+	42.0659i	−0.714460	+	1.56445i
$724$	0.751000	−	5.22332i	0.0279107	−	0.194123i
$725$	3.68798	−	25.6504i	0.136968	−	0.952633i
$726$	6.67647	+	7.70506i	0.247787	+	0.285962i
$727$	38.2459	+	11.2300i	1.41846	+	0.416497i	0.898982	−	0.437986i	$-0.144308\pi$
$727$	38.2459	+	11.2300i	1.41846	+	0.416497i	0.519478	+	0.854484i	$0.326126\pi$
$728$	−5.38780	+	3.46253i	−0.199685	+	0.128330i
$729$	−4.90471	−	34.1130i	−0.181656	−	1.26345i
$730$	37.0613	−	23.8178i	1.37170	−	0.881538i
$731$	−6.64209	+	7.66539i	−0.245667	+	0.283515i
$732$	12.0105	+	13.8608i	0.443920	+	0.512311i
$733$	−12.1250	+	26.5501i	−0.447849	+	0.980652i	0.542242	+	0.840222i	$0.317576\pi$
$733$	−12.1250	+	26.5501i	−0.447849	+	0.980652i	−0.990091	+	0.140429i	$0.955152\pi$
$734$	8.75831	−	2.57167i	0.323275	−	0.0949221i
$735$	56.8335	−	36.5247i	2.09634	−	1.34723i
$736$	−5.10777			−0.188275
$737$	0.907767	−	22.8901i	0.0334380	−	0.843169i
$738$	−15.0396			−0.553615
$739$	−29.6561	+	19.0588i	−1.09092	+	0.701089i	−0.957054	−	0.289911i	$-0.906374\pi$
$739$	−29.6561	+	19.0588i	−1.09092	+	0.701089i	−0.133862	+	0.991000i	$0.542738\pi$
$740$	19.1361	−	5.61888i	0.703459	−	0.206554i
$741$	−1.28187	+	2.80691i	−0.0470908	+	0.103114i
$742$	17.3102	+	19.9770i	0.635478	+	0.733380i
$743$	13.0614	−	15.0737i	0.479178	−	0.553001i	−0.463764	−	0.885959i	$-0.653501\pi$
$743$	13.0614	−	15.0737i	0.479178	−	0.553001i	0.942942	+	0.332958i	$0.108047\pi$
$744$	16.4095	−	10.5457i	0.601601	−	0.386625i
$745$	12.0700	+	83.9488i	0.442211	+	3.07565i
$746$	16.0450	−	10.3115i	0.587449	−	0.377531i
$747$	0.968400	+	0.284348i	0.0354319	+	0.0104037i
$748$	2.34402	+	2.70515i	0.0857060	+	0.0989100i
$749$	−7.24203	+	50.3694i	−0.264618	+	1.84046i
$750$	−5.01879	+	34.9065i	−0.183260	+	1.27460i
$751$	−5.88712	+	12.8910i	−0.214824	+	0.470399i	−0.986111	−	0.166089i	$-0.946886\pi$
$751$	−5.88712	+	12.8910i	−0.214824	+	0.470399i	0.771287	+	0.636488i	$0.219613\pi$
$752$	5.01113	+	3.22046i	0.182737	+	0.117438i
$753$	−12.4777	−	14.4001i	−0.454714	−	0.524767i
$754$	−2.39720	−	5.24913i	−0.0873008	−	0.191162i
$755$	5.77399	−	12.6433i	0.210137	−	0.460136i
$756$	−42.2657	−	27.1625i	−1.53719	−	0.987892i
$757$	13.0642	−	3.83598i	0.474825	−	0.139421i	−0.0355594	−	0.999368i	$-0.511321\pi$
$757$	13.0642	−	3.83598i	0.474825	−	0.139421i	0.510384	+	0.859946i	$0.329503\pi$
$758$	−3.56535	+	4.11463i	−0.129499	+	0.149450i
$759$	44.1485	+	12.9632i	1.60249	+	0.470533i
$760$	1.85615	−	0.545015i	0.0673296	−	0.0197698i
$761$	−3.81529	−	8.35433i	−0.138304	−	0.302844i	0.827788	−	0.561041i	$-0.189599\pi$
$761$	−3.81529	−	8.35433i	−0.138304	−	0.302844i	−0.966092	+	0.258197i	$0.916872\pi$
$762$	7.14078	−	49.6652i	0.258683	−	1.79918i
$763$	−25.3996	−	55.6174i	−0.919527	−	2.01348i
$764$	−17.3725	+	20.0489i	−0.628514	+	0.725344i
$765$	4.83692	+	33.6415i	0.174879	+	1.21631i
$766$	−6.24103			−0.225497
$767$	1.09129			0.0394042
$768$	−0.458079	−	3.18601i	−0.0165295	−	0.114965i
$769$	−11.2599	−	3.30621i	−0.406044	−	0.119225i	0.0723318	−	0.997381i	$-0.476956\pi$
$769$	−11.2599	−	3.30621i	−0.406044	−	0.119225i	−0.478375	+	0.878155i	$0.658774\pi$
$770$	−30.4272	−	19.5544i	−1.09652	−	0.704691i
$771$	52.1550	+	33.5180i	1.87832	+	1.20712i
$772$	−14.7473	−	4.33021i	−0.530768	−	0.155848i
$773$	0.680172	+	4.73070i	0.0244641	+	0.170151i	0.998391	−	0.0567125i	$-0.0180618\pi$
$773$	0.680172	+	4.73070i	0.0244641	+	0.170151i	−0.973926	+	0.226864i	$0.927153\pi$
$774$	−58.3718			−2.09813
$775$	48.6906			1.74902
$776$	−2.02126	−	14.0582i	−0.0725591	−	0.504659i
$777$	−41.6808	+	48.1022i	−1.49529	+	1.72566i
$778$	−5.73490	−	12.5577i	−0.205606	−	0.450215i
$779$	−0.155812	+	1.08369i	−0.00558253	+	0.0388274i
$780$	8.63721	+	18.9128i	0.309262	+	0.677189i
$781$	8.47619	−	2.48883i	0.303302	−	0.0890574i
$782$	−6.26808	−	1.84047i	−0.224146	−	0.0658152i
$783$	29.6447	−	34.2118i	1.05942	−	1.22263i
$784$	−5.57801	+	1.63785i	−0.199215	+	0.0584947i
$785$	4.82220	+	3.09904i	0.172112	+	0.110610i
$786$	−21.8893	+	47.9308i	−0.780764	+	1.70963i
$787$	−18.3603	−	40.2034i	−0.654473	−	1.43310i	−0.887584	−	0.460645i	$-0.847618\pi$
$787$	−18.3603	−	40.2034i	−0.654473	−	1.43310i	0.233111	−	0.972450i	$-0.425109\pi$
$788$	14.3236	+	16.5303i	0.510257	+	0.588868i
$789$	2.12452	+	1.36535i	0.0756349	+	0.0486076i
$790$	5.68084	−	12.4393i	0.202115	−	0.442570i
$791$	−2.82736	+	19.6647i	−0.100529	+	0.699196i
$792$	−2.93164	+	20.3900i	−0.104171	+	0.724526i
$793$	6.67606	+	7.70459i	0.237074	+	0.273598i
$794$	−9.45657	−	2.77670i	−0.335601	−	0.0985413i
$795$	72.1916	−	46.3947i	2.56037	−	1.64545i
$796$	−0.490384	−	3.41070i	−0.0173812	−	0.120889i
$797$	42.4916	−	27.3077i	1.50513	−	0.967289i	0.510945	−	0.859613i	$-0.329295\pi$
$797$	42.4916	−	27.3077i	1.50513	−	0.967289i	0.994186	−	0.107676i	$-0.0343409\pi$
$798$	−4.04292	+	4.66578i	−0.143118	+	0.165167i
$799$	4.98907	+	5.75769i	0.176500	+	0.203692i
$800$	3.33772	−	7.30858i	0.118006	−	0.258397i
$801$	34.8444	−	10.2312i	1.23117	−	0.361503i
$802$	24.8129	−	15.9463i	0.876175	−	0.563084i
$803$	34.1504			1.20514
$804$	−20.5796	+	16.4509i	−0.725788	+	0.580179i
$805$	66.0108			2.32658
$806$	9.12127	−	5.86189i	0.321283	−	0.206476i
$807$	26.3673	−	7.74215i	0.928174	−	0.272537i
$808$	−0.326878	+	0.715763i	−0.0114995	+	0.0251805i
$809$	−1.73209	−	1.99894i	−0.0608970	−	0.0702789i	0.724484	−	0.689292i	$-0.242078\pi$
$809$	−1.73209	−	1.99894i	−0.0608970	−	0.0702789i	−0.785381	+	0.619013i	$0.787533\pi$
$810$	−54.6043	+	63.0168i	−1.91860	+	2.21418i
$811$	−3.31634	+	2.13128i	−0.116452	+	0.0748394i	−0.597570	−	0.801816i	$-0.703867\pi$
$811$	−3.31634	+	2.13128i	−0.116452	+	0.0748394i	0.481118	+	0.876656i	$0.340231\pi$
$812$	−1.64306	−	11.4278i	−0.0576603	−	0.401036i
$813$	−27.2270	+	17.4977i	−0.954893	+	0.613672i
$814$	14.8339	+	4.35564i	0.519930	+	0.152665i
$815$	28.2270	+	32.5757i	0.988750	+	1.14108i
$816$	0.585871	−	4.07482i	0.0205096	−	0.142647i
$817$	−0.604737	+	4.20604i	−0.0211571	+	0.147151i
$818$	0.435033	−	0.952590i	0.0152106	−	0.0333065i
$819$	−39.6570	−	25.4860i	−1.38573	−	0.890552i
$820$	4.83089	+	5.57514i	0.168702	+	0.194692i
$821$	11.9877	+	26.2494i	0.418373	+	0.916109i	0.995072	+	0.0991527i	$0.0316132\pi$
$821$	11.9877	+	26.2494i	0.418373	+	0.916109i	−0.576699	+	0.816957i	$0.695659\pi$
$822$	−3.36495	+	7.36821i	−0.117366	+	0.256996i
$823$	38.4295	+	24.6971i	1.33957	+	0.860888i	0.996908	−	0.0785723i	$-0.0250361\pi$
$823$	38.4295	+	24.6971i	1.33957	+	0.860888i	0.342659	+	0.939460i	$0.388673\pi$
$824$	−17.8234	+	5.23341i	−0.620906	+	0.182314i
$825$	−47.3978	+	54.7000i	−1.65018	+	1.90441i
$826$	2.09491	+	0.615121i	0.0728912	+	0.0214028i
$827$	20.6664	−	6.06820i	0.718641	−	0.211012i	0.0980891	−	0.995178i	$-0.468727\pi$
$827$	20.6664	−	6.06820i	0.718641	−	0.211012i	0.620551	+	0.784166i	$0.286909\pi$
$828$	−15.6179	−	34.1983i	−0.542758	−	1.18847i
$829$	−3.62501	+	25.2125i	−0.125902	+	0.875666i	0.824770	+	0.565468i	$0.191304\pi$
$829$	−3.62501	+	25.2125i	−0.125902	+	0.875666i	−0.950672	+	0.310198i	$0.899605\pi$
$830$	−0.205654	−	0.450319i	−0.00713835	−	0.0156308i
$831$	20.9633	−	24.1930i	0.727210	−	0.839245i
$832$	−0.254625	−	1.77096i	−0.00882753	−	0.0613969i
$833$	−7.43530			−0.257618
$834$	18.7708			0.649979
$835$	8.65590	+	60.2031i	0.299550	+	2.08341i
$836$	1.43885	+	0.422484i	0.0497637	+	0.0146119i
$837$	71.5537	+	45.9848i	2.47326	+	1.58947i
$838$	25.3571	+	16.2960i	0.875947	+	0.562937i
$839$	7.88100	+	2.31407i	0.272082	+	0.0798906i	0.414928	−	0.909854i	$-0.363807\pi$
$839$	7.88100	+	2.31407i	0.272082	+	0.0798906i	−0.142845	+	0.989745i	$0.545625\pi$
$840$	5.92003	+	41.1747i	0.204261	+	1.42066i
$841$	−18.5974			−0.641290
$842$	31.6838			1.09189
$843$	−7.45878	−	51.8769i	−0.256894	−	1.78674i
$844$	−3.51717	+	4.05903i	−0.121066	+	0.139718i
$845$	−14.6963	−	32.1804i	−0.505569	−	1.10704i
$846$	−6.23975	+	43.3984i	−0.214527	+	1.49207i
$847$	4.71003	+	10.3135i	0.161838	+	0.354377i
$848$	−7.08535	+	2.08045i	−0.243312	+	0.0714428i
$849$	−66.3833	−	19.4919i	−2.27827	−	0.668960i
$850$	6.72941	−	7.76616i	0.230817	−	0.266377i
$851$	−27.0730	+	7.94935i	−0.928050	+	0.272500i
$852$	−8.54720	−	5.49295i	−0.292822	−	0.188186i
$853$	19.6906	−	43.1164i	0.674194	−	1.47628i	−0.194486	−	0.980905i	$-0.562304\pi$
$853$	19.6906	−	43.1164i	0.674194	−	1.47628i	0.868680	−	0.495374i	$-0.164969\pi$
$854$	8.47299	+	18.5533i	0.289940	+	0.634879i
$855$	9.32455	+	10.7611i	0.318893	+	0.368022i
$856$	−11.9592	−	7.68573i	−0.408758	−	0.262693i
$857$	13.9241	−	30.4895i	0.475637	−	1.04150i	−0.508003	−	0.861356i	$-0.669616\pi$
$857$	13.9241	−	30.4895i	0.475637	−	1.04150i	0.983640	−	0.180145i	$-0.0576567\pi$
$858$	−2.29374	+	15.9533i	−0.0783069	+	0.544636i
$859$	3.52999	−	24.5516i	0.120442	−	0.837691i	−0.836615	−	0.547791i	$-0.815469\pi$
$859$	3.52999	−	24.5516i	0.120442	−	0.837691i	0.957057	−	0.289900i	$-0.0936220\pi$
$860$	18.7497	+	21.6383i	0.639358	+	0.737859i
$861$	−22.5889	−	6.63269i	−0.769826	−	0.226041i
$862$	21.2404	−	13.6504i	0.723450	−	0.464933i
$863$	2.23090	+	15.5163i	0.0759408	+	0.528180i	0.991911	+	0.126934i	$0.0405137\pi$
$863$	2.23090	+	15.5163i	0.0759408	+	0.528180i	−0.915970	+	0.401246i	$0.868577\pi$
$864$	11.8074	−	7.58816i	0.401696	−	0.258154i
$865$	−20.2842	+	23.4092i	−0.689683	+	0.795937i
$866$	−23.4402	−	27.0514i	−0.796529	−	0.919243i
$867$	−20.5439	+	44.9849i	−0.697708	+	1.52777i
$868$	20.8139	−	6.11151i	0.706469	−	0.207438i
$869$	8.91783	−	5.73114i	0.302517	−	0.194416i
$870$	−37.4810			−1.27072
$871$	−11.4393	+	9.14430i	−0.387605	+	0.309843i
$872$	17.0809			0.578433
$873$	87.9442	−	56.5183i	2.97646	−	1.91285i
$874$	−2.62600	+	0.771063i	−0.0888258	+	0.0260816i
$875$	−16.2920	+	35.6745i	−0.550771	+	1.20602i
$876$	−25.7207	−	29.6833i	−0.869023	−	1.00291i
$877$	22.8267	−	26.3434i	0.770802	−	0.889553i	−0.225608	−	0.974218i	$-0.572437\pi$
$877$	22.8267	−	26.3434i	0.770802	−	0.889553i	0.996409	+	0.0846655i	$0.0269822\pi$
$878$	0.877955	−	0.564228i	0.0296296	−	0.0190418i
$879$	10.3802	+	72.1960i	0.350116	+	2.43511i
$880$	8.50019	−	5.46274i	0.286541	−	0.184149i
$881$	−27.0082	−	7.93032i	−0.909929	−	0.267179i	−0.206918	−	0.978358i	$-0.566343\pi$
$881$	−27.0082	−	7.93032i	−0.909929	−	0.267179i	−0.703011	+	0.711179i	$0.748161\pi$
$882$	−28.0217	−	32.3387i	−0.943539	−	1.08890i
$883$	4.17570	−	29.0426i	0.140523	−	0.977362i	−0.790515	−	0.612442i	$-0.790187\pi$
$883$	4.17570	−	29.0426i	0.140523	−	0.977362i	0.931039	−	0.364920i	$-0.118904\pi$
$884$	0.325658	−	2.26500i	0.0109531	−	0.0761803i
$885$	2.94450	−	6.44756i	0.0989784	−	0.216732i
$886$	19.4744	+	12.5155i	0.654257	+	0.420465i
$887$	−20.0375	−	23.1245i	−0.672793	−	0.776445i	0.312017	−	0.950076i	$-0.398995\pi$
$887$	−20.0375	−	23.1245i	−0.672793	−	0.776445i	−0.984811	+	0.173632i	$0.944450\pi$
$888$	−7.38645	−	16.1741i	−0.247873	−	0.542766i
$889$	23.1804	−	50.7580i	0.777446	−	1.70237i
$890$	−14.9851	−	9.63034i	−0.502302	−	0.322810i
$891$	−62.0187	+	18.2103i	−2.07770	+	0.610069i
$892$	10.6613	−	12.3038i	0.356967	−	0.411962i
$893$	3.06247	+	0.899224i	0.102482	+	0.0300914i
$894$	72.5505	−	21.3028i	2.42645	−	0.712471i
$895$	−35.8348	−	78.4673i	−1.19783	−	2.62287i
$896$	0.509429	−	3.54316i	0.0170188	−	0.118369i
$897$	−12.2195	−	26.7571i	−0.407999	−	0.893393i
$898$	−16.4379	+	18.9704i	−0.548541	+	0.633050i
$899$	2.78162	+	19.3466i	0.0927724	+	0.645246i
$900$	59.1391			1.97130
$901$	−9.44454			−0.314643
$902$	0.813824	+	5.66027i	0.0270974	+	0.188466i
$903$	−87.6720	−	25.7428i	−2.91754	−	0.856668i
$904$	−4.66900	−	3.00058i	−0.155288	−	0.0997979i
$905$	−16.0275	−	10.3003i	−0.532773	−	0.342392i
$906$	−11.8898	−	3.49117i	−0.395014	−	0.115986i
$907$	−0.380366	−	2.64550i	−0.0126298	−	0.0878425i	0.982532	−	0.186096i	$-0.0595835\pi$
$907$	−0.380366	−	2.64550i	−0.0126298	−	0.0878425i	−0.995161	+	0.0982534i	$0.968674\pi$
$908$	−10.2066			−0.338718
$909$	−5.79177			−0.192101
$910$	3.29067	+	22.8871i	0.109085	+	0.758701i
$911$	−22.6887	+	26.1841i	−0.751709	+	0.867519i	−0.994733	−	0.102502i	$-0.967315\pi$
$911$	−22.6887	+	26.1841i	−0.751709	+	0.867519i	0.243023	+	0.970020i	$0.421861\pi$
$912$	−0.716464	−	1.56884i	−0.0237245	−	0.0519494i
$913$	0.0546144	−	0.379852i	0.00180747	−	0.0125713i
$914$	14.2762	+	31.2606i	0.472216	+	1.03401i
$915$	63.5335	−	18.6551i	2.10035	−	0.616719i
$916$	19.5726	+	5.74705i	0.646698	+	0.189888i
$917$	−38.3744	+	44.2864i	−1.26723	+	1.46246i
$918$	17.2239	−	5.05738i	0.568472	−	0.166919i
$919$	5.98461	+	3.84608i	0.197414	+	0.126870i	0.635613	−	0.772007i	$-0.280747\pi$
$919$	5.98461	+	3.84608i	0.197414	+	0.126870i	−0.438199	+	0.898878i	$0.644384\pi$
$920$	−7.66061	+	16.7744i	−0.252563	+	0.553036i
$921$	−15.7461	−	34.4791i	−0.518851	−	1.13612i
$922$	0.375105	+	0.432894i	0.0123534	+	0.0142566i
$923$	−4.75099	−	3.05328i	−0.156381	−	0.100500i
$924$	−13.3955	+	29.3320i	−0.440679	+	0.964953i
$925$	6.31655	−	43.9326i	0.207687	−	1.44450i
$926$	2.63868	−	18.3524i	0.0867123	−	0.603097i
$927$	−89.5374	−	103.332i	−2.94079	−	3.39386i
$928$	3.09466	+	0.908673i	0.101587	+	0.0298287i
$929$	7.06313	−	4.53920i	0.231734	−	0.148926i	−0.419621	−	0.907699i	$-0.637837\pi$
$929$	7.06313	−	4.53920i	0.231734	−	0.148926i	0.651355	+	0.758773i	$0.274201\pi$
$930$	−10.0223	−	69.7067i	−0.328645	−	2.28577i
$931$	−2.62051	+	1.68410i	−0.0858837	+	0.0551941i
$932$	−9.44830	+	10.9039i	−0.309489	+	0.357170i
$933$	41.6353	+	48.0497i	1.36308	+	1.57308i
$934$	−3.74332	+	8.19673i	−0.122485	+	0.268205i
$935$	12.3995	−	3.64083i	0.405508	−	0.119068i
$936$	11.0786	−	7.11980i	0.362116	−	0.232718i
$937$	12.9710			0.423743			0.211871	−	0.977298i	$-0.432044\pi$
$937$	12.9710			0.423743			0.211871	+	0.977298i	$0.432044\pi$
$938$	−27.1138	+	11.1061i	−0.885298	+	0.362626i
$939$	13.0645			0.426344
$940$	18.0920	−	11.6270i	0.590095	−	0.379231i
$941$	−31.1985	+	9.16072i	−1.01704	+	0.298631i	−0.747432	−	0.664338i	$-0.768713\pi$
$941$	−31.1985	+	9.16072i	−1.01704	+	0.298631i	−0.269611	+	0.962969i	$0.586895\pi$
$942$	2.12296	−	4.64863i	0.0691697	−	0.151461i
$943$	−6.83453	−	7.88747i	−0.222563	−	0.256851i
$944$	−0.399428	+	0.460964i	−0.0130003	+	0.0150031i
$945$	−152.594	+	98.0664i	−4.96389	+	3.19010i
$946$	3.15862	+	21.9687i	0.102696	+	0.714263i
$947$	−10.0867	+	6.48231i	−0.327773	+	0.210647i	−0.694169	−	0.719812i	$-0.744228\pi$
$947$	−10.0867	+	6.48231i	−0.327773	+	0.210647i	0.366396	+	0.930459i	$0.380592\pi$
$948$	−11.6980	−	3.43485i	−0.379934	−	0.111559i
$949$	−14.2970	−	16.4996i	−0.464099	−	0.535599i
$950$	0.612687	−	4.26133i	0.0198782	−	0.138256i
$951$	−3.70799	+	25.7897i	−0.120240	+	0.836287i
$952$	1.90185	−	4.16448i	0.0616394	−	0.134972i
$953$	−16.1688	−	10.3911i	−0.523759	−	0.336600i	0.251898	−	0.967754i	$-0.418945\pi$
$953$	−16.1688	−	10.3911i	−0.523759	−	0.336600i	−0.775657	+	0.631154i	$0.782582\pi$
$954$	−35.5940	−	41.0776i	−1.15240	−	1.32994i
$955$	39.7873	+	87.1220i	1.28749	+	2.81920i
$956$	−5.75272	+	12.5967i	−0.186056	+	0.407406i
$957$	−24.4422	−	15.7080i	−0.790104	−	0.507769i
$958$	26.8685	−	7.88930i	0.868082	−	0.254892i
$959$	−5.89914	+	6.80797i	−0.190493	+	0.219841i
$960$	−11.1502	−	3.27399i	−0.359871	−	0.105668i
$961$	−5.49256	+	1.61276i	−0.177179	+	0.0520246i
$962$	−4.10578	−	8.99041i	−0.132376	−	0.289863i
$963$	14.8914	−	103.572i	0.479867	−	3.33755i
$964$	−5.96838	−	13.0689i	−0.192229	−	0.420922i
$965$	−36.3388	+	41.9372i	−1.16979	+	1.35001i
$966$	−8.37541	−	58.2522i	−0.269474	−	1.87424i
$967$	14.6044			0.469645			0.234823	−	0.972038i	$-0.424549\pi$
$967$	14.6044			0.469645			0.234823	+	0.972038i	$0.424549\pi$
$968$	−3.16743			−0.101805
$969$	−0.313923	−	2.18338i	−0.0100847	−	0.0701404i
$970$	−49.1999	−	14.4464i	−1.57971	−	0.463845i
$971$	7.75596	+	4.98445i	0.248901	+	0.159959i	0.659143	−	0.752018i	$-0.270919\pi$
$971$	7.75596	+	4.98445i	0.248901	+	0.159959i	−0.410242	+	0.911977i	$0.634556\pi$
$972$	27.1161	+	17.4264i	0.869748	+	0.558953i
$973$	20.0294	+	5.88116i	0.642112	+	0.188541i
$974$	2.95477	+	20.5509i	0.0946771	+	0.658494i
$975$	46.2710			1.48186
$976$	−5.69797			−0.182388
$977$	2.60662	+	18.1294i	0.0833931	+	0.580012i	0.988081	+	0.153936i	$0.0491951\pi$
$977$	2.60662	+	18.1294i	0.0833931	+	0.580012i	−0.904688	+	0.426075i	$0.859896\pi$
$978$	25.1655	−	29.0426i	0.804705	−	0.928679i
$979$	−5.73611	−	12.5603i	−0.183327	−	0.401430i
$980$	−2.98701	+	20.7751i	−0.0954166	+	0.663637i
$981$	52.2277	+	114.363i	1.66750	+	3.65132i
$982$	−27.6474	+	8.11802i	−0.882265	+	0.259056i
$983$	4.88651	+	1.43481i	0.155856	+	0.0457633i	0.358730	−	0.933442i	$-0.383210\pi$
$983$	4.88651	+	1.43481i	0.155856	+	0.0457633i	−0.202874	+	0.979205i	$0.565028\pi$
$984$	4.30693	−	4.97046i	0.137300	−	0.158453i
$985$	75.7696	−	22.2480i	2.41422	−	0.708879i
$986$	3.47023	+	2.23018i	0.110515	+	0.0710235i
$987$	−28.5112	+	62.4308i	−0.907522	+	1.98720i
$988$	−0.398249	−	0.872044i	−0.0126700	−	0.0277434i
$989$	−26.5262	−	30.6129i	−0.843485	−	0.973433i
$990$	62.5657	+	40.2086i	1.98847	+	1.27791i
$991$	0.398400	−	0.872374i	0.0126556	−	0.0277119i	−0.903199	−	0.429223i	$-0.858788\pi$
$991$	0.398400	−	0.872374i	0.0126556	−	0.0277119i	0.915854	+	0.401511i	$0.131515\pi$
$992$	−0.862438	+	5.99839i	−0.0273824	+	0.190449i
$993$	−9.29105	+	64.6207i	−0.294843	+	2.05067i
$994$	−7.39928	−	8.53922i	−0.234691	−	0.270848i
$995$	−11.9365	−	3.50488i	−0.378413	−	0.111112i
$996$	−0.371298	+	0.238619i	−0.0117650	+	0.00756092i
$997$	6.92342	+	48.1534i	0.219267	+	1.52503i	0.740754	+	0.671776i	$0.234468\pi$
$997$	6.92342	+	48.1534i	0.219267	+	1.52503i	−0.521487	+	0.853259i	$0.674623\pi$
$998$	24.7514	−	15.9068i	0.783492	−	0.503520i
$999$	50.7738	−	58.5961i	1.60641	−	1.85390i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	134.2.e.b.15.1	yes	40
67.3	odd	22		8978.2.a.p.1.2		20
67.9	even	11	inner	134.2.e.b.9.1	✓	40
67.64	even	11		8978.2.a.q.1.19		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
134.2.e.b.9.1	✓	40	67.9	even	11	inner
134.2.e.b.15.1	yes	40	1.1	even	1	trivial
8978.2.a.p.1.2		20	67.3	odd	22
8978.2.a.q.1.19		20	67.64	even	11

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:	\( N \)	\(=\)	\( 134 = 2 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	134.e (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.841254 - 0.540641i) q^{2} +(-3.08839 + 0.906834i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-2.36428 - 2.72852i) q^{5} +(-2.10785 + 2.43259i) q^{6} +(-3.01135 + 1.93527i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(6.19205 - 3.97939i) q^{9} +O(q^{10})\)	\(q+(0.841254 - 0.540641i) q^{2} +(-3.08839 + 0.906834i) q^{3} +(0.415415 - 0.909632i) q^{4} +(-2.36428 - 2.72852i) q^{5} +(-2.10785 + 2.43259i) q^{6} +(-3.01135 + 1.93527i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(6.19205 - 3.97939i) q^{9} +(-3.46411 - 1.01715i) q^{10} +(-1.83274 - 2.11510i) q^{11} +(-0.458079 + 3.18601i) q^{12} +(-0.254625 + 1.77096i) q^{13} +(-1.48702 + 3.25611i) q^{14} +(9.77613 + 6.28274i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-0.531304 - 1.16339i) q^{17} +(3.05767 - 6.69535i) q^{18} +(-0.450763 - 0.289688i) q^{19} +(-3.46411 + 1.01715i) q^{20} +(7.54524 - 8.70768i) q^{21} +(-2.68531 - 0.788477i) q^{22} +(4.90087 - 1.43903i) q^{23} +(1.33713 + 2.92790i) q^{24} +(-1.14345 + 7.95287i) q^{25} +(0.743247 + 1.62748i) q^{26} +(-9.19129 + 10.6073i) q^{27} +(0.509429 + 3.54316i) q^{28} -3.22530 q^{29} +11.6209 q^{30} +(-0.862438 - 5.99839i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(7.57826 + 4.87025i) q^{33} +(-1.07594 - 0.691465i) q^{34} +(12.4001 + 3.64100i) q^{35} +(-1.04751 - 7.28559i) q^{36} -5.52412 q^{37} -0.535823 q^{38} +(-0.819581 - 5.70031i) q^{39} +(-2.36428 + 2.72852i) q^{40} +(-0.848810 - 1.85863i) q^{41} +(1.63974 - 11.4046i) q^{42} +(-3.29441 - 7.21374i) q^{43} +(-2.68531 + 0.788477i) q^{44} +(-25.4976 - 7.48677i) q^{45} +(3.34488 - 3.86020i) q^{46} +(-5.71546 + 1.67821i) q^{47} +(2.70781 + 1.74020i) q^{48} +(2.41501 - 5.28814i) q^{49} +(3.33772 + 7.30858i) q^{50} +(2.69588 + 3.11121i) q^{51} +(1.50514 + 0.967297i) q^{52} +(3.06762 - 6.71715i) q^{53} +(-1.99746 + 13.8926i) q^{54} +(-1.43798 + 10.0014i) q^{55} +(2.34414 + 2.70528i) q^{56} +(1.65483 + 0.485903i) q^{57} +(-2.71330 + 1.74373i) q^{58} +(-0.0868040 - 0.603735i) q^{59} +(9.77613 - 6.28274i) q^{60} +(3.73138 - 4.30624i) q^{61} +(-3.96850 - 4.57989i) q^{62} +(-10.9452 + 23.9666i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(5.43410 - 3.49228i) q^{65} +9.00829 q^{66} +(5.96881 + 5.60119i) q^{67} -1.27897 q^{68} +(-13.8309 + 8.88855i) q^{69} +(12.4001 - 3.64100i) q^{70} +(-1.31126 + 2.87126i) q^{71} +(-4.82011 - 5.56270i) q^{72} +(-7.99084 + 9.22193i) q^{73} +(-4.64718 + 2.98656i) q^{74} +(-3.68051 - 25.5985i) q^{75} +(-0.450763 + 0.289688i) q^{76} +(9.61231 + 2.82243i) q^{77} +(-3.77129 - 4.35231i) q^{78} +(-0.539052 + 3.74919i) q^{79} +(-0.513807 + 3.57361i) q^{80} +(9.59424 - 21.0085i) q^{81} +(-1.71892 - 1.10468i) q^{82} +(0.0897954 + 0.103629i) q^{83} +(-4.78637 - 10.4807i) q^{84} +(-1.91820 + 4.20026i) q^{85} +(-6.67147 - 4.28750i) q^{86} +(9.96100 - 2.92481i) q^{87} +(-1.83274 + 2.11510i) q^{88} +(4.73396 + 1.39002i) q^{89} +(-25.4976 + 7.48677i) q^{90} +(-2.66052 - 5.82573i) q^{91} +(0.726912 - 5.05578i) q^{92} +(8.10308 + 17.7433i) q^{93} +(-3.90084 + 4.50181i) q^{94} +(0.275310 + 1.91482i) q^{95} +3.21877 q^{96} +14.2027 q^{97} +(-0.827346 - 5.75432i) q^{98} +(-19.7652 - 5.80359i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 4 q^{2} - 7 q^{3} - 4 q^{4} - 3 q^{5} - 7 q^{6} - 8 q^{7} - 4 q^{8} - 13 q^{9}+O(q^{10}) \) 40 * q - 4 * q^2 - 7 * q^3 - 4 * q^4 - 3 * q^5 - 7 * q^6 - 8 * q^7 - 4 * q^8 - 13 * q^9	\( 40 q - 4 q^{2} - 7 q^{3} - 4 q^{4} - 3 q^{5} - 7 q^{6} - 8 q^{7} - 4 q^{8} - 13 q^{9} - 3 q^{10} - 9 q^{11} + 4 q^{12} - 11 q^{13} + 14 q^{14} + 10 q^{15} - 4 q^{16} + 7 q^{17} - 2 q^{18} - 4 q^{19} - 3 q^{20} + 29 q^{21} - 9 q^{22} + 12 q^{23} + 4 q^{24} - 37 q^{25} + 11 q^{26} - 46 q^{27} + 3 q^{28} + 4 q^{29} + 10 q^{30} - 22 q^{31} - 4 q^{32} - 3 q^{33} - 4 q^{34} + 62 q^{35} - 13 q^{36} + 28 q^{37} + 18 q^{38} + 27 q^{39} - 3 q^{40} + 79 q^{41} - 15 q^{42} - 14 q^{43} - 9 q^{44} - 40 q^{45} - 21 q^{46} - 14 q^{47} + 4 q^{48} - 60 q^{49} - 15 q^{50} - 84 q^{51} + 11 q^{52} - 12 q^{53} - 2 q^{54} - 3 q^{55} - 8 q^{56} - 65 q^{57} + 4 q^{58} + 39 q^{59} + 10 q^{60} + 66 q^{61} + 11 q^{62} - 10 q^{63} - 4 q^{64} - 34 q^{65} + 96 q^{66} - 20 q^{67} + 18 q^{68} - 22 q^{69} + 62 q^{70} - 37 q^{71} - 2 q^{72} - 28 q^{73} + 6 q^{74} + 164 q^{75} - 4 q^{76} + 109 q^{77} - 6 q^{78} + 14 q^{79} + 8 q^{80} + 161 q^{81} - 20 q^{82} - 36 q^{83} + 40 q^{84} - 49 q^{85} - 47 q^{86} + 68 q^{87} - 9 q^{88} - 16 q^{89} - 40 q^{90} - 142 q^{91} - 21 q^{92} + 15 q^{93} - 47 q^{94} - 15 q^{95} + 4 q^{96} - 94 q^{97} - 16 q^{98} - 10 q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 7 * q^3 - 4 * q^4 - 3 * q^5 - 7 * q^6 - 8 * q^7 - 4 * q^8 - 13 * q^9 - 3 * q^10 - 9 * q^11 + 4 * q^12 - 11 * q^13 + 14 * q^14 + 10 * q^15 - 4 * q^16 + 7 * q^17 - 2 * q^18 - 4 * q^19 - 3 * q^20 + 29 * q^21 - 9 * q^22 + 12 * q^23 + 4 * q^24 - 37 * q^25 + 11 * q^26 - 46 * q^27 + 3 * q^28 + 4 * q^29 + 10 * q^30 - 22 * q^31 - 4 * q^32 - 3 * q^33 - 4 * q^34 + 62 * q^35 - 13 * q^36 + 28 * q^37 + 18 * q^38 + 27 * q^39 - 3 * q^40 + 79 * q^41 - 15 * q^42 - 14 * q^43 - 9 * q^44 - 40 * q^45 - 21 * q^46 - 14 * q^47 + 4 * q^48 - 60 * q^49 - 15 * q^50 - 84 * q^51 + 11 * q^52 - 12 * q^53 - 2 * q^54 - 3 * q^55 - 8 * q^56 - 65 * q^57 + 4 * q^58 + 39 * q^59 + 10 * q^60 + 66 * q^61 + 11 * q^62 - 10 * q^63 - 4 * q^64 - 34 * q^65 + 96 * q^66 - 20 * q^67 + 18 * q^68 - 22 * q^69 + 62 * q^70 - 37 * q^71 - 2 * q^72 - 28 * q^73 + 6 * q^74 + 164 * q^75 - 4 * q^76 + 109 * q^77 - 6 * q^78 + 14 * q^79 + 8 * q^80 + 161 * q^81 - 20 * q^82 - 36 * q^83 + 40 * q^84 - 49 * q^85 - 47 * q^86 + 68 * q^87 - 9 * q^88 - 16 * q^89 - 40 * q^90 - 142 * q^91 - 21 * q^92 + 15 * q^93 - 47 * q^94 - 15 * q^95 + 4 * q^96 - 94 * q^97 - 16 * q^98 - 10 * q^99

Introduction

L-functions

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