LMFDB - Embedded newform 115.2.j.a.29.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [115,2,Mod(4,115)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(115, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 4]))

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

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

chi := DirichletCharacter("115.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 115 = 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	115.j (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:	$0.918279623245$
Analytic rank:	$0$
Dimension:	$100$
Relative dimension:	$10$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			29.5
Character	$\chi$	$=$	115.29
Dual form			115.2.j.a.4.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.175347 - 0.0800783i) q^{2} +(0.167074 - 0.569000i) q^{3} +(-1.28539 - 1.48342i) q^{4} +(0.481985 - 2.18350i) q^{5} +(-0.0748604 + 0.0863935i) q^{6} +(-3.28793 - 0.472733i) q^{7} +(0.215217 + 0.732961i) q^{8} +(2.22791 + 1.43179i) q^{9} +O(q^{10})$	\(q+(-0.175347 - 0.0800783i) q^{2} +(0.167074 - 0.569000i) q^{3} +(-1.28539 - 1.48342i) q^{4} +(0.481985 - 2.18350i) q^{5} +(-0.0748604 + 0.0863935i) q^{6} +(-3.28793 - 0.472733i) q^{7} +(0.215217 + 0.732961i) q^{8} +(2.22791 + 1.43179i) q^{9} +(-0.259366 + 0.344274i) q^{10} +(-0.928361 - 2.03283i) q^{11} +(-1.05882 + 0.483546i) q^{12} +(6.70483 - 0.964009i) q^{13} +(0.538673 + 0.346184i) q^{14} +(-1.16189 - 0.639056i) q^{15} +(-0.537726 + 3.73997i) q^{16} +(1.46759 + 1.27168i) q^{17} +(-0.276002 - 0.429468i) q^{18} +(-1.11465 - 1.28637i) q^{19} +(-3.85858 + 2.09166i) q^{20} +(-0.818312 + 1.79185i) q^{21} +0.430792i q^{22} +(1.75636 + 4.46264i) q^{23} +0.453012 q^{24} +(-4.53538 - 2.10483i) q^{25} +(-1.25287 - 0.367875i) q^{26} +(2.53144 - 2.19351i) q^{27} +(3.52501 + 5.48502i) q^{28} +(-4.03098 + 4.65200i) q^{29} +(0.152559 + 0.205098i) q^{30} +(5.15374 - 1.51327i) q^{31} +(1.21977 - 1.89801i) q^{32} +(-1.31178 + 0.188606i) q^{33} +(-0.155504 - 0.340507i) q^{34} +(-2.61695 + 6.95136i) q^{35} +(-0.739787 - 5.14533i) q^{36} +(1.72562 - 2.68512i) q^{37} +(0.0924398 + 0.314821i) q^{38} +(0.571678 - 3.97611i) q^{39} +(1.70416 - 0.116650i) q^{40} +(-5.62116 + 3.61250i) q^{41} +(0.286977 - 0.248667i) q^{42} +(2.05844 - 7.01041i) q^{43} +(-1.82223 + 3.99012i) q^{44} +(4.20015 - 4.17455i) q^{45} +(0.0493883 - 0.923158i) q^{46} +9.63634i q^{47} +(2.03820 + 0.930816i) q^{48} +(3.87057 + 1.13650i) q^{49} +(0.626714 + 0.732262i) q^{50} +(0.968780 - 0.622597i) q^{51} +(-10.0483 - 8.70693i) q^{52} +(1.44130 + 0.207228i) q^{53} +(-0.619533 + 0.181911i) q^{54} +(-4.88614 + 1.04729i) q^{55} +(-0.361123 - 2.51167i) q^{56} +(-0.918175 + 0.419317i) q^{57} +(1.07935 - 0.492921i) q^{58} +(-1.33162 - 9.26159i) q^{59} +(0.545490 + 2.54500i) q^{60} +(10.2194 - 3.00068i) q^{61} +(-1.02487 - 0.147355i) q^{62} +(-6.64837 - 5.76085i) q^{63} +(5.99136 - 3.85041i) q^{64} +(1.12671 - 15.1047i) q^{65} +(0.245121 + 0.0719739i) q^{66} +(-4.44321 - 2.02915i) q^{67} -3.81165i q^{68} +(2.83269 - 0.253780i) q^{69} +(1.01553 - 1.00934i) q^{70} +(-0.0212260 + 0.0464785i) q^{71} +(-0.569964 + 1.94112i) q^{72} +(-4.98167 + 4.31664i) q^{73} +(-0.517603 + 0.332643i) q^{74} +(-1.95539 + 2.22897i) q^{75} +(-0.475472 + 3.30698i) q^{76} +(2.09140 + 7.12267i) q^{77} +(-0.418642 + 0.651420i) q^{78} +(1.74906 + 12.1650i) q^{79} +(7.90706 + 2.97674i) q^{80} +(2.47529 + 5.42013i) q^{81} +(1.27494 - 0.183308i) q^{82} +(-3.94928 + 6.14520i) q^{83} +(3.70991 - 1.08933i) q^{84} +(3.48407 - 2.59157i) q^{85} +(-0.922323 + 1.06442i) q^{86} +(1.97352 + 3.07086i) q^{87} +(1.29018 - 1.11795i) q^{88} +(-4.61729 - 1.35576i) q^{89} +(-1.07077 + 0.395655i) q^{90} -22.5007 q^{91} +(4.36235 - 8.34164i) q^{92} -3.18531i q^{93} +(0.771662 - 1.68970i) q^{94} +(-3.34605 + 1.81383i) q^{95} +(-0.876174 - 1.01116i) q^{96} +(1.58420 + 2.46507i) q^{97} +(-0.587684 - 0.509231i) q^{98} +(0.842280 - 5.85818i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	$ 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) $ 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/115\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{9}{11}\right)$

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 $

$2$	−0.175347	−	0.0800783i	−0.123989	−	0.0566239i	0.352455	−	0.935829i	$-0.385347\pi$
$2$	−0.175347	−	0.0800783i	−0.123989	−	0.0566239i	−0.476444	+	0.879205i	$0.658074\pi$
$3$	0.167074	−	0.569000i	0.0964600	−	0.328512i	−0.897099	−	0.441830i	$-0.854330\pi$
$3$	0.167074	−	0.569000i	0.0964600	−	0.328512i	0.993559	+	0.113317i	$0.0361477\pi$
$4$	−1.28539	−	1.48342i	−0.642694	−	0.741708i
$5$	0.481985	−	2.18350i	0.215550	−	0.976493i
$5$	0.481985	−	2.18350i	0.215550	−	0.976493i
$6$	−0.0748604	+	0.0863935i	−0.0305616	+	0.0352700i
$7$	−3.28793	−	0.472733i	−1.24272	−	0.178676i	−0.510581	−	0.859830i	$-0.670570\pi$
$7$	−3.28793	−	0.472733i	−1.24272	−	0.178676i	−0.732141	+	0.681153i	$0.761479\pi$
$8$	0.215217	+	0.732961i	0.0760906	+	0.259141i
$9$	2.22791	+	1.43179i	0.742638	+	0.477264i
$10$	−0.259366	+	0.344274i	−0.0820187	+	0.108869i
$11$	−0.928361	−	2.03283i	−0.279911	−	0.612921i	0.716498	−	0.697589i	$-0.245744\pi$
$11$	−0.928361	−	2.03283i	−0.279911	−	0.612921i	−0.996409	+	0.0846689i	$0.973017\pi$
$12$	−1.05882	+	0.483546i	−0.305655	+	0.139588i
$13$	6.70483	−	0.964009i	1.85959	−	0.267368i	0.880986	−	0.473143i	$-0.156881\pi$
$13$	6.70483	−	0.964009i	1.85959	−	0.267368i	0.978599	+	0.205775i	$0.0659715\pi$
$14$	0.538673	+	0.346184i	0.143966	+	0.0925216i
$15$	−1.16189	−	0.639056i	−0.299998	−	0.165003i
$16$	−0.537726	+	3.73997i	−0.134432	+	0.934992i
$17$	1.46759	+	1.27168i	0.355944	+	0.308427i	0.814416	−	0.580282i	$-0.197058\pi$
$17$	1.46759	+	1.27168i	0.355944	+	0.308427i	−0.458472	+	0.888709i	$0.651603\pi$
$18$	−0.276002	−	0.429468i	−0.0650544	−	0.101227i
$19$	−1.11465	−	1.28637i	−0.255718	−	0.295114i	0.613346	−	0.789815i	$-0.289823\pi$
$19$	−1.11465	−	1.28637i	−0.255718	−	0.295114i	−0.869064	+	0.494700i	$0.835278\pi$
$20$	−3.85858	+	2.09166i	−0.862805	+	0.467710i
$21$	−0.818312	+	1.79185i	−0.178570	+	0.391014i
$22$			0.430792i			0.0918451i
$23$	1.75636	+	4.46264i	0.366227	+	0.930526i
$23$	1.75636	+	4.46264i	0.366227	+	0.930526i
$24$	0.453012			0.0924707
$25$	−4.53538	−	2.10483i	−0.907076	−	0.420967i
$26$	−1.25287	−	0.367875i	−0.245708	−	0.0721463i
$27$	2.53144	−	2.19351i	0.487177	−	0.422141i
$28$	3.52501	+	5.48502i	0.666164	+	1.03657i
$29$	−4.03098	+	4.65200i	−0.748535	+	0.863856i	−0.994425	−	0.105442i	$-0.966374\pi$
$29$	−4.03098	+	4.65200i	−0.748535	+	0.863856i	0.245890	+	0.969298i	$0.420920\pi$
$30$	0.152559	+	0.205098i	0.0278533	+	0.0374457i
$31$	5.15374	−	1.51327i	0.925639	−	0.271792i	0.216029	−	0.976387i	$-0.430689\pi$
$31$	5.15374	−	1.51327i	0.925639	−	0.271792i	0.709610	+	0.704595i	$0.248871\pi$
$32$	1.21977	−	1.89801i	0.215628	−	0.335523i
$33$	−1.31178	+	0.188606i	−0.228352	+	0.0328321i
$34$	−0.155504	−	0.340507i	−0.0266688	−	0.0583965i
$35$	−2.61695	+	6.95136i	−0.442345	+	1.17499i
$36$	−0.739787	−	5.14533i	−0.123298	−	0.857555i
$37$	1.72562	−	2.68512i	0.283691	−	0.441432i	−0.669938	−	0.742417i	$-0.733679\pi$
$37$	1.72562	−	2.68512i	0.283691	−	0.441432i	0.953629	+	0.300986i	$0.0973156\pi$
$38$	0.0924398	+	0.314821i	0.0149957	+	0.0510707i
$39$	0.571678	−	3.97611i	0.0915418	−	0.636687i
$40$	1.70416	−	0.116650i	0.269451	−	0.0184440i
$41$	−5.62116	+	3.61250i	−0.877878	+	0.564178i	−0.900153	−	0.435574i	$-0.856545\pi$
$41$	−5.62116	+	3.61250i	−0.877878	+	0.564178i	0.0222748	+	0.999752i	$0.492909\pi$
$42$	0.286977	−	0.248667i	0.0442815	−	0.0383701i
$43$	2.05844	−	7.01041i	0.313909	−	1.06908i	−0.639848	−	0.768501i	$-0.721003\pi$
$43$	2.05844	−	7.01041i	0.313909	−	1.06908i	0.953758	−	0.300576i	$-0.0971789\pi$
$44$	−1.82223	+	3.99012i	−0.274711	+	0.601533i
$45$	4.20015	−	4.17455i	0.626121	−	0.622306i
$46$	0.0493883	−	0.923158i	0.00728190	−	0.136112i
$47$			9.63634i			1.40560i	0.711385	+	0.702802i	$0.248068\pi$
$47$			9.63634i			1.40560i	−0.711385	+	0.702802i	$0.751932\pi$
$48$	2.03820	+	0.930816i	0.294189	+	0.134352i
$49$	3.87057	+	1.13650i	0.552939	+	0.162357i
$50$	0.626714	+	0.732262i	0.0886307	+	0.103557i
$51$	0.968780	−	0.622597i	0.135656	−	0.0871811i
$52$	−10.0483	−	8.70693i	−1.39345	−	1.20743i
$53$	1.44130	+	0.207228i	0.197978	+	0.0284649i	0.240590	−	0.970627i	$-0.422659\pi$
$53$	1.44130	+	0.207228i	0.197978	+	0.0284649i	−0.0426124	+	0.999092i	$0.513568\pi$
$54$	−0.619533	+	0.181911i	−0.0843078	+	0.0247550i
$55$	−4.88614	+	1.04729i	−0.658847	+	0.141216i
$56$	−0.361123	−	2.51167i	−0.0482571	−	0.335636i
$57$	−0.918175	+	0.419317i	−0.121615	+	0.0555399i
$58$	1.07935	−	0.492921i	0.141725	−	0.0647236i
$59$	−1.33162	−	9.26159i	−0.173362	−	1.20576i	−0.871719	−	0.490007i	$-0.836994\pi$
$59$	−1.33162	−	9.26159i	−0.173362	−	1.20576i	0.698357	−	0.715749i	$-0.253915\pi$
$60$	0.545490	+	2.54500i	0.0704225	+	0.328558i
$61$	10.2194	−	3.00068i	1.30846	−	0.384198i	0.448144	−	0.893962i	$-0.352085\pi$
$61$	10.2194	−	3.00068i	1.30846	−	0.384198i	0.860315	+	0.509764i	$0.170267\pi$
$62$	−1.02487	−	0.147355i	−0.130159	−	0.0187140i
$63$	−6.64837	−	5.76085i	−0.837616	−	0.725798i
$64$	5.99136	−	3.85041i	0.748919	−	0.481301i
$65$	1.12671	−	15.1047i	0.139751	−	1.87350i
$66$	0.245121	+	0.0719739i	0.0301723	+	0.00885937i
$67$	−4.44321	−	2.02915i	−0.542824	−	0.247900i	0.125080	−	0.992147i	$-0.460081\pi$
$67$	−4.44321	−	2.02915i	−0.542824	−	0.247900i	−0.667904	+	0.744247i	$0.732808\pi$
$68$		−	3.81165i		−	0.462230i
$69$	2.83269	−	0.253780i	0.341015	−	0.0305515i
$70$	1.01553	−	1.00934i	0.121379	−	0.120639i
$71$	−0.0212260	+	0.0464785i	−0.00251907	+	0.00551599i	−0.910887	−	0.412655i	$-0.864601\pi$
$71$	−0.0212260	+	0.0464785i	−0.00251907	+	0.00551599i	0.908368	+	0.418171i	$0.137329\pi$
$72$	−0.569964	+	1.94112i	−0.0671709	+	0.228763i
$73$	−4.98167	+	4.31664i	−0.583061	+	0.505225i	−0.895707	−	0.444645i	$-0.853330\pi$
$73$	−4.98167	+	4.31664i	−0.583061	+	0.505225i	0.312646	+	0.949870i	$0.398784\pi$
$74$	−0.517603	+	0.332643i	−0.0601701	+	0.0386690i
$75$	−1.95539	+	2.22897i	−0.225789	+	0.257379i
$76$	−0.475472	+	3.30698i	−0.0545403	+	0.379336i
$77$	2.09140	+	7.12267i	0.238338	+	0.811703i
$78$	−0.418642	+	0.651420i	−0.0474019	+	0.0737588i
$79$	1.74906	+	12.1650i	0.196784	+	1.36867i	0.813539	+	0.581510i	$0.197538\pi$
$79$	1.74906	+	12.1650i	0.196784	+	1.36867i	−0.616754	+	0.787156i	$0.711553\pi$
$80$	7.90706	+	2.97674i	0.884036	+	0.332809i
$81$	2.47529	+	5.42013i	0.275033	+	0.602237i
$82$	1.27494	−	0.183308i	0.140793	−	0.0202430i
$83$	−3.94928	+	6.14520i	−0.433490	+	0.674523i	−0.987434	−	0.158030i	$-0.949486\pi$
$83$	−3.94928	+	6.14520i	−0.433490	+	0.674523i	0.553944	+	0.832554i	$0.313122\pi$
$84$	3.70991	−	1.08933i	0.404785	−	0.118855i
$85$	3.48407	−	2.59157i	0.377900	−	0.281095i
$86$	−0.922323	+	1.06442i	−0.0994566	+	0.114779i
$87$	1.97352	+	3.07086i	0.211584	+	0.329231i
$88$	1.29018	−	1.11795i	0.137534	−	0.119174i
$89$	−4.61729	−	1.35576i	−0.489432	−	0.143710i	0.0276993	−	0.999616i	$-0.491182\pi$
$89$	−4.61729	−	1.35576i	−0.489432	−	0.143710i	−0.517131	+	0.855906i	$0.673000\pi$
$90$	−1.07077	+	0.395655i	−0.112869	+	0.0417057i
$91$	−22.5007			−2.35872
$92$	4.36235	−	8.34164i	0.454807	−	0.869676i
$93$		−	3.18531i		−	0.330301i
$94$	0.771662	−	1.68970i	0.0795908	−	0.174280i
$95$	−3.34605	+	1.81383i	−0.343297	+	0.186095i
$96$	−0.876174	−	1.01116i	−0.0894242	−	0.103201i
$97$	1.58420	+	2.46507i	0.160851	+	0.250290i	0.912319	−	0.409480i	$-0.134290\pi$
$97$	1.58420	+	2.46507i	0.160851	+	0.250290i	−0.751467	+	0.659770i	$0.770654\pi$
$98$	−0.587684	−	0.509231i	−0.0593650	−	0.0514401i
$99$	0.842280	−	5.85818i	0.0846523	−	0.588770i
$100$	2.70738	+	9.43338i	0.270738	+	0.943338i
$101$	3.89335	+	2.50211i	0.387403	+	0.248969i	0.719816	−	0.694165i	$-0.244226\pi$
$101$	3.89335	+	2.50211i	0.387403	+	0.248969i	−0.332413	+	0.943134i	$0.607863\pi$
$102$	−0.219729	+	0.0315923i	−0.0217564	+	0.00312810i
$103$	0.478979	−	0.218742i	0.0471952	−	0.0215533i	−0.391678	−	0.920103i	$-0.628105\pi$
$103$	0.478979	−	0.218742i	0.0471952	−	0.0215533i	0.438873	+	0.898549i	$0.355378\pi$
$104$	2.14957	+	4.70691i	0.210783	+	0.461550i
$105$	3.51810	+	2.65043i	0.343332	+	0.258656i
$106$	−0.236133	−	0.151754i	−0.0229353	−	0.0147396i
$107$	4.27457	+	14.5578i	0.413238	+	1.40736i	0.858893	+	0.512155i	$0.171153\pi$
$107$	4.27457	+	14.5578i	0.413238	+	1.40736i	−0.445655	+	0.895205i	$0.647029\pi$
$108$	−6.50777	−	0.935676i	−0.626211	−	0.0900355i
$109$	−9.38558	+	10.8315i	−0.898975	+	1.03747i	0.100121	+	0.994975i	$0.468077\pi$
$109$	−9.38558	+	10.8315i	−0.898975	+	1.03747i	−0.999097	+	0.0424977i	$0.986468\pi$
$110$	0.940635	+	0.207635i	0.0896861	+	0.0197972i
$111$	−1.23953	−	1.43049i	−0.117651	−	0.135776i
$112$	3.53601	−	12.0426i	0.334122	−	1.13791i
$113$	−11.0905	−	5.06485i	−1.04330	−	0.476461i	−0.181335	−	0.983421i	$-0.558042\pi$
$113$	−11.0905	−	5.06485i	−1.04330	−	0.476461i	−0.861970	+	0.506960i	$0.830769\pi$
$114$	0.194577			0.0182238
$115$	10.5907	−	1.68409i	0.987592	−	0.157042i
$116$	12.0822			1.12181
$117$	16.3180	+	7.45220i	1.50860	+	0.688956i
$118$	−0.508157	+	1.73062i	−0.0467797	+	0.159317i
$119$	−4.22418	−	4.87497i	−0.387230	−	0.446887i
$120$	0.218345	−	0.989154i	0.0199321	−	0.0902970i
$121$	3.93294	−	4.53885i	0.357540	−	0.412623i
$122$	−2.03223	−	0.292190i	−0.183989	−	0.0264537i
$123$	1.11637	+	3.80200i	0.100659	+	0.342815i
$124$	−8.86937	−	5.70000i	−0.796493	−	0.511875i
$125$	−6.78190	+	8.88852i	−0.606592	+	0.795014i
$126$	0.704453	+	1.54254i	0.0627577	+	0.137420i
$127$	−3.54439	+	1.61867i	−0.314513	+	0.143633i	−0.566417	−	0.824119i	$-0.691671\pi$
$127$	−3.54439	+	1.61867i	−0.314513	+	0.143633i	0.251903	+	0.967752i	$0.418943\pi$
$128$	−5.82530	+	0.837552i	−0.514889	+	0.0740298i
$129$	−3.64501	−	2.34251i	−0.320926	−	0.206246i
$130$	−1.40712	+	2.55833i	−0.123413	+	0.224380i
$131$	−1.76246	+	12.2582i	−0.153987	+	1.07100i	0.755463	+	0.655192i	$0.227412\pi$
$131$	−1.76246	+	12.2582i	−0.153987	+	1.07100i	−0.909450	+	0.415813i	$0.863497\pi$
$132$	1.96593	+	1.70349i	0.171112	+	0.148270i
$133$	3.05678	+	4.75644i	0.265056	+	0.412436i
$134$	0.616613	+	0.711609i	0.0532672	+	0.0614737i
$135$	−3.56942	−	6.58466i	−0.307206	−	0.566717i
$136$	−0.616239	+	1.34937i	−0.0528420	+	0.115708i
$137$		−	13.7044i		−	1.17084i	−0.810729	−	0.585421i	$-0.800929\pi$
$137$		−	13.7044i		−	1.17084i	0.810729	−	0.585421i	$-0.199071\pi$
$138$	−0.517025	−	0.182337i	−0.0440121	−	0.0155216i
$139$	−1.30658			−0.110823			−0.0554113	−	0.998464i	$-0.517647\pi$
$139$	−1.30658			−0.110823			−0.0554113	+	0.998464i	$0.517647\pi$
$140$	13.6756	−	5.05317i	1.15580	−	0.427071i
$141$	5.48308	+	1.60998i	0.461759	+	0.135585i
$142$	0.00744384	−	0.00645013i	0.000624674	−	0.000541283i
$143$	−8.18417	−	12.7348i	−0.684394	−	1.06494i
$144$	−6.55286	+	7.56241i	−0.546072	+	0.630201i
$145$	8.21480	+	11.0439i	0.682202	+	0.917144i
$146$	1.21919	−	0.357987i	0.100901	−	0.0296272i
$147$	1.29334	−	2.01248i	0.106673	−	0.165986i
$148$	−6.20125	+	0.891605i	−0.509740	+	0.0732895i
$149$	−0.0899971	−	0.197066i	−0.00737285	−	0.0161443i	0.905910	−	0.423471i	$-0.139188\pi$
$149$	−0.0899971	−	0.197066i	−0.00737285	−	0.0161443i	−0.913283	+	0.407327i	$0.866461\pi$
$150$	0.521364	−	0.234259i	0.0425692	−	0.0191271i
$151$	−0.838874	−	5.83450i	−0.0682666	−	0.474805i	−0.995063	−	0.0992415i	$-0.968358\pi$
$151$	−0.838874	−	5.83450i	−0.0682666	−	0.474805i	0.926797	−	0.375563i	$-0.122551\pi$
$152$	0.702971	−	1.09384i	0.0570185	−	0.0887225i
$153$	1.44889	+	4.93447i	0.117136	+	0.398929i
$154$	0.203650	−	1.41641i	0.0164106	−	0.114138i
$155$	−0.820214	−	11.9826i	−0.0658812	−	0.962465i
$156$	−6.63305	+	4.26280i	−0.531069	+	0.341298i
$157$	3.28885	−	2.84980i	0.262479	−	0.227439i	−0.513672	−	0.857987i	$-0.671715\pi$
$157$	3.28885	−	2.84980i	0.262479	−	0.227439i	0.776151	+	0.630548i	$0.217170\pi$
$158$	0.667458	−	2.27315i	0.0531001	−	0.180842i
$159$	0.358716	−	0.785479i	0.0284480	−	0.0622925i
$160$	−3.55639	−	3.57820i	−0.281157	−	0.282881i
$161$	−3.66516	−	15.5032i	−0.288855	−	1.22182i
$162$		−	1.14862i		−	0.0902442i
$163$	−11.8778	−	5.42443i	−0.930344	−	0.424874i	−0.108184	−	0.994131i	$-0.534504\pi$
$163$	−11.8778	−	5.42443i	−0.930344	−	0.424874i	−0.822160	+	0.569257i	$0.807231\pi$
$164$	12.5842	+	3.69506i	0.982662	+	0.288536i
$165$	−0.220439	+	2.95519i	−0.0171611	+	0.230061i
$166$	1.18459	−	0.761291i	0.0919421	−	0.0590876i
$167$	1.17039	+	1.01415i	0.0905676	+	0.0784773i	0.698968	−	0.715153i	$-0.253643\pi$
$167$	1.17039	+	1.01415i	0.0905676	+	0.0784773i	−0.608400	+	0.793630i	$0.708188\pi$
$168$	−1.48947	−	0.214154i	−0.114915	−	0.0165223i
$169$	31.5520	−	9.26451i	2.42708	−	0.712654i
$170$	−0.818449	+	0.175425i	−0.0627722	+	0.0134545i
$171$	−0.641521	−	4.46188i	−0.0490583	−	0.341208i
$172$	−13.0452	+	5.95757i	−0.994691	+	0.454260i
$173$	−17.4774	+	7.98166i	−1.32878	+	0.606834i	−0.948130	−	0.317884i	$-0.897028\pi$
$173$	−17.4774	+	7.98166i	−1.32878	+	0.606834i	−0.380652	+	0.924718i	$0.624301\pi$
$174$	−0.100142	−	0.696502i	−0.00759173	−	0.0528017i
$175$	13.9170	+	9.06458i	1.05203	+	0.685218i
$176$	8.10191	−	2.37894i	0.610705	−	0.179319i
$177$	−5.49232	−	0.789677i	−0.412828	−	0.0593558i
$178$	0.701061	+	0.607473i	0.0525468	+	0.0455320i
$179$	13.7518	−	8.83775i	1.02786	−	0.660565i	0.0859035	−	0.996303i	$-0.472622\pi$
$179$	13.7518	−	8.83775i	1.02786	−	0.660565i	0.941955	+	0.335739i	$0.108986\pi$
$180$	−11.5914	−	0.864646i	−0.863973	−	0.0644469i
$181$	−7.47229	−	2.19406i	−0.555411	−	0.163083i	−0.00803105	−	0.999968i	$-0.502556\pi$
$181$	−7.47229	−	2.19406i	−0.555411	−	0.163083i	−0.547380	+	0.836884i	$0.684375\pi$
$182$	3.94544	+	1.80182i	0.292455	+	0.133560i
$183$		−	6.31617i		−	0.466905i
$184$	−2.89295	+	2.24778i	−0.213271	+	0.165709i
$185$	−5.03125	−	5.06210i	−0.369905	−	0.372173i
$186$	−0.255074	+	0.558534i	−0.0187029	+	0.0409537i
$187$	1.22264	−	4.16394i	0.0894085	−	0.304497i
$188$	14.2947	−	12.3864i	1.04255	−	0.903373i
$189$	−9.36016	+	6.01541i	−0.680851	+	0.437557i
$190$	0.731967	−	0.0501035i	0.0531025	−	0.00363489i
$191$	0.984236	−	6.84551i	0.0712168	−	0.495324i	−0.922729	−	0.385450i	$-0.874046\pi$
$191$	0.984236	−	6.84551i	0.0712168	−	0.495324i	0.993946	−	0.109874i	$-0.0350447\pi$
$192$	−1.18989	−	4.05238i	−0.0858727	−	0.292456i
$193$	3.14087	−	4.88729i	0.226085	−	0.351795i	−0.709617	−	0.704588i	$-0.751132\pi$
$193$	3.14087	−	4.88729i	0.226085	−	0.351795i	0.935701	+	0.352793i	$0.114768\pi$
$194$	−0.0803868	−	0.559102i	−0.00577143	−	0.0401412i
$195$	−8.40631	−	3.16469i	−0.601988	−	0.226628i
$196$	−3.28928	−	7.20251i	−0.234948	−	0.514465i
$197$	9.58401	−	1.37797i	0.682833	−	0.0981765i	0.207835	−	0.978164i	$-0.433358\pi$
$197$	9.58401	−	1.37797i	0.682833	−	0.0981765i	0.474997	+	0.879987i	$0.342449\pi$
$198$	−0.616804	+	0.959766i	−0.0438344	+	0.0682076i
$199$	−15.4886	+	4.54788i	−1.09796	+	0.322390i	−0.780042	−	0.625727i	$-0.784802\pi$
$199$	−15.4886	+	4.54788i	−1.09796	+	0.322390i	−0.317919	+	0.948118i	$0.602984\pi$
$200$	0.566672	−	3.77725i	0.0400697	−	0.267092i
$201$	−1.89693	+	2.18917i	−0.133799	+	0.154412i
$202$	−0.482323	−	0.750510i	−0.0339361	−	0.0528057i
$203$	15.4528	−	13.3899i	1.08457	−	0.939786i
$204$	−2.16883	−	0.636826i	−0.151848	−	0.0445867i
$205$	5.17860	+	14.0150i	0.361689	+	0.978851i
$206$	−0.101504			−0.00707211
$207$	−2.47656	+	12.4571i	−0.172133	+	0.865830i
$208$			25.5942i			1.77464i
$209$	−1.58018	+	3.46011i	−0.109303	+	0.239341i
$210$	−0.404647	−	0.746469i	−0.0279233	−	0.0515113i
$211$	8.81677	+	10.1751i	0.606972	+	0.700483i	0.973179	−	0.230051i	$-0.0738893\pi$
$211$	8.81677	+	10.1751i	0.606972	+	0.700483i	−0.366207	+	0.930533i	$0.619344\pi$
$212$	−1.54523	−	2.40442i	−0.106127	−	0.165136i
$213$	0.0229000	+	0.0198430i	0.00156908	+	0.00135962i
$214$	0.416234	−	2.89497i	0.0284532	−	0.197896i
$215$	−14.3151	−	7.87353i	−0.976283	−	0.536970i
$216$	2.15257	+	1.38337i	0.146464	+	0.0941264i
$217$	−17.6605	+	2.53920i	−1.19887	+	0.172372i
$218$	2.51310	−	1.14770i	0.170209	−	0.0777318i
$219$	1.62387	+	3.55577i	0.109731	+	0.240277i
$220$	7.83415	+	5.90201i	0.528178	+	0.397914i
$221$	11.0659	+	7.11160i	0.744371	+	0.478378i
$222$	0.102796	+	0.350092i	0.00689924	+	0.0234966i
$223$	11.8262	+	1.70035i	0.791941	+	0.113864i	0.526402	−	0.850236i	$-0.323541\pi$
$223$	11.8262	+	1.70035i	0.791941	+	0.113864i	0.265539	+	0.964100i	$0.414450\pi$
$224$	−4.90779	+	5.66389i	−0.327915	+	0.378435i
$225$	−7.09075	−	11.1831i	−0.472716	−	0.745541i
$226$	1.53910	+	1.77621i	0.102379	+	0.118152i
$227$	−2.52632	+	8.60387i	−0.167678	+	0.571059i	0.832185	+	0.554498i	$0.187090\pi$
$227$	−2.52632	+	8.60387i	−0.167678	+	0.571059i	−0.999863	+	0.0165605i	$0.994728\pi$
$228$	1.80223	+	0.823052i	0.119356	+	0.0545079i
$229$	−3.05115			−0.201626			−0.100813	−	0.994905i	$-0.532144\pi$
$229$	−3.05115			−0.201626			−0.100813	+	0.994905i	$0.532144\pi$
$230$	−1.99191	−	0.552788i	−0.131343	−	0.0364498i
$231$	4.40222			0.289645
$232$	−4.27727	−	1.95337i	−0.280817	−	0.128245i
$233$	−3.93207	+	13.3914i	−0.257598	+	0.877300i	0.724555	+	0.689217i	$0.242045\pi$
$233$	−3.93207	+	13.3914i	−0.257598	+	0.877300i	−0.982153	+	0.188083i	$0.939773\pi$
$234$	−2.26456	−	2.61344i	−0.148039	−	0.170846i
$235$	21.0410	+	4.64458i	1.37256	+	0.302979i
$236$	−12.0271	+	13.8801i	−0.782901	+	0.903516i
$237$	7.21409	+	1.03723i	0.468606	+	0.0673753i
$238$	0.350319	+	1.19308i	0.0227078	+	0.0773356i
$239$	0.753569	+	0.484289i	0.0487443	+	0.0313261i	0.564786	−	0.825237i	$-0.308959\pi$
$239$	0.753569	+	0.484289i	0.0487443	+	0.0313261i	−0.516042	+	0.856563i	$0.672595\pi$
$240$	3.01482	−	4.00178i	0.194606	−	0.258314i
$241$	0.270835	+	0.593047i	0.0174460	+	0.0382015i	0.918154	−	0.396223i	$-0.129679\pi$
$241$	0.270835	+	0.593047i	0.0174460	+	0.0382015i	−0.900708	+	0.434424i	$0.856952\pi$
$242$	−1.05309	+	0.480931i	−0.0676953	+	0.0309154i
$243$	13.4441	−	1.93297i	0.862438	−	0.124000i
$244$	−17.5871	−	11.3026i	−1.12590	−	0.723572i
$245$	4.34711	−	7.90363i	0.277727	−	0.504944i
$246$	0.108706	−	0.756065i	0.00693083	−	0.0482050i
$247$	−8.71361	−	7.55039i	−0.554434	−	0.480419i
$248$	2.21834	+	3.45181i	0.140865	+	0.219190i
$249$	2.83680	+	3.27384i	0.179775	+	0.207471i
$250$	1.90096	−	1.01549i	0.120227	−	0.0642254i
$251$	2.77052	−	6.06660i	0.174874	−	0.382920i	−0.801818	−	0.597569i	$-0.796133\pi$
$251$	2.77052	−	6.06660i	0.174874	−	0.382920i	0.976691	+	0.214649i	$0.0688607\pi$
$252$			17.2672i			1.08773i
$253$	7.44125	−	7.71333i	0.467827	−	0.484933i
$254$	0.751117			0.0471293
$255$	−0.892506	−	2.41542i	−0.0558909	−	0.151259i
$256$	−12.5784	−	3.69335i	−0.786149	−	0.230834i
$257$	−3.18618	+	2.76084i	−0.198748	+	0.172217i	−0.748549	−	0.663079i	$-0.769249\pi$
$257$	−3.18618	+	2.76084i	−0.198748	+	0.172217i	0.549801	+	0.835296i	$0.314704\pi$
$258$	0.451558	+	0.702638i	0.0281128	+	0.0437443i
$259$	−6.94308	+	8.01274i	−0.431422	+	0.497888i
$260$	−23.8548	+	17.7440i	−1.47941	+	1.10043i
$261$	−15.6414	+	4.59273i	−0.968178	+	0.284283i
$262$	1.29066	−	2.00830i	0.0797372	−	0.124073i
$263$	21.3499	−	3.06965i	1.31649	−	0.189283i	0.551960	−	0.833870i	$-0.313880\pi$
$263$	21.3499	−	3.06965i	1.31649	−	0.189283i	0.764530	+	0.644588i	$0.222971\pi$
$264$	−0.420559	−	0.920896i	−0.0258836	−	0.0566772i
$265$	1.14717	−	3.04721i	0.0704700	−	0.187188i
$266$	−0.155109	−	1.07881i	−0.00951036	−	0.0661460i
$267$	−1.54285	+	2.40073i	−0.0944212	+	0.146922i
$268$	2.70118	+	9.19937i	0.165001	+	0.561941i
$269$	0.990380	−	6.88824i	0.0603845	−	0.419983i	−0.937098	−	0.349067i	$-0.886499\pi$
$269$	0.990380	−	6.88824i	0.0603845	−	0.419983i	0.997482	−	0.0709164i	$-0.0225924\pi$
$270$	0.0985983	+	1.44043i	0.00600050	+	0.0876619i
$271$	−3.65615	+	2.34966i	−0.222095	+	0.142732i	−0.646957	−	0.762526i	$-0.723959\pi$
$271$	−3.65615	+	2.34966i	−0.222095	+	0.142732i	0.424862	+	0.905258i	$0.360323\pi$
$272$	−5.54519	+	4.80494i	−0.336227	+	0.291342i
$273$	−3.75928	+	12.8029i	−0.227522	+	0.774868i
$274$	−1.09742	+	2.40302i	−0.0662977	+	0.145172i
$275$	−0.0682934	+	11.1737i	−0.00411825	+	0.673799i
$276$	−4.01756	−	3.87585i	−0.241829	−	0.233299i
$277$		−	19.1889i		−	1.15295i	−0.817116	−	0.576473i	$-0.804428\pi$
$277$		−	19.1889i		−	1.15295i	0.817116	−	0.576473i	$-0.195572\pi$
$278$	0.229105	+	0.104629i	0.0137408	+	0.00627521i
$279$	13.6488	+	4.00764i	0.817131	+	0.239931i
$280$	−5.65829	−	0.422073i	−0.338148	−	0.0252237i
$281$	5.60582	−	3.60264i	0.334415	−	0.214916i	−0.362646	−	0.931927i	$-0.618127\pi$
$281$	5.60582	−	3.60264i	0.334415	−	0.214916i	0.697062	+	0.717011i	$0.254490\pi$
$282$	−0.832517	−	0.721380i	−0.0495757	−	0.0429576i
$283$	−5.94385	−	0.854596i	−0.353325	−	0.0508005i	−0.0366328	−	0.999329i	$-0.511663\pi$
$283$	−5.94385	−	0.854596i	−0.353325	−	0.0508005i	−0.316692	+	0.948528i	$0.602572\pi$
$284$	0.0962307	−	0.0282559i	0.00571024	−	0.00167668i
$285$	0.473033	+	2.20694i	0.0280200	+	0.130728i
$286$	0.415287	+	2.88838i	0.0245564	+	0.170794i
$287$	20.1898	−	9.22035i	1.19176	−	0.544260i
$288$	5.43510	−	2.48213i	0.320267	−	0.146261i
$289$	−1.88268	−	13.0944i	−0.110746	−	0.770256i
$290$	−0.556065	−	2.59434i	−0.0326533	−	0.152345i
$291$	1.66730	−	0.489564i	0.0977390	−	0.0286988i
$292$	12.8068	+	1.84133i	0.749459	+	0.107756i
$293$	12.0927	+	10.4784i	0.706464	+	0.612155i	0.932161	−	0.362043i	$-0.117921\pi$
$293$	12.0927	+	10.4784i	0.706464	+	0.612155i	−0.225697	+	0.974197i	$0.572466\pi$
$294$	−0.387939	+	0.249313i	−0.0226250	+	0.0145402i
$295$	−20.8645	−	1.55636i	−1.21478	−	0.0906149i
$296$	2.33948	+	0.686932i	0.135979	+	0.0399271i
$297$	−6.80912	−	3.10962i	−0.395105	−	0.180438i
$298$			0.0417618i			0.00241919i
$299$	16.0781	+	28.2281i	0.929822	+	1.63247i
$300$	5.81993	+	0.0355713i	0.336014	+	0.00205371i
$301$	−10.0821	+	22.0767i	−0.581121	+	1.27248i
$302$	−0.320123	+	1.09024i	−0.0184210	+	0.0627361i
$303$	2.07417	−	1.79728i	0.119158	−	0.103251i
$304$	5.41037	−	3.47704i	0.310306	−	0.199422i
$305$	−1.62641	−	23.7604i	−0.0931279	−	1.36051i
$306$	0.141085	−	0.981270i	0.00806531	−	0.0560955i
$307$	1.05789	+	3.60285i	0.0603770	+	0.205625i	0.984157	−	0.177298i	$-0.0567356\pi$
$307$	1.05789	+	3.60285i	0.0603770	+	0.205625i	−0.923780	+	0.382923i	$0.874917\pi$
$308$	7.87761	−	12.2578i	0.448869	−	0.698453i
$309$	−0.0444397	−	0.309085i	−0.00252809	−	0.0175832i
$310$	−0.815723	+	2.16679i	−0.0463300	+	0.123066i
$311$	4.31409	+	9.44654i	0.244630	+	0.535664i	0.991623	−	0.129168i	$-0.0412305\pi$
$311$	4.31409	+	9.44654i	0.244630	+	0.535664i	−0.746993	+	0.664832i	$0.768503\pi$
$312$	3.03737	−	0.436708i	0.171957	−	0.0247237i
$313$	−6.16831	+	9.59809i	−0.348654	+	0.542516i	−0.970648	−	0.240506i	$-0.922687\pi$
$313$	−6.16831	+	9.59809i	−0.348654	+	0.542516i	0.621994	+	0.783022i	$0.286323\pi$
$314$	−0.804897	+	0.236339i	−0.0454230	+	0.0133374i
$315$	−15.7832	+	11.7401i	−0.889285	+	0.661480i
$316$	15.7975	−	18.2313i	0.888679	−	1.02559i
$317$	−8.68395	−	13.5125i	−0.487739	−	0.758937i	0.506937	−	0.861983i	$-0.330778\pi$
$317$	−8.68395	−	13.5125i	−0.487739	−	0.758937i	−0.994677	+	0.103046i	$0.967141\pi$
$318$	−0.125800	+	0.109006i	−0.00705449	+	0.00611275i
$319$	13.1989	+	3.87556i	0.738998	+	0.216989i
$320$	−5.51964	−	14.9380i	−0.308557	−	0.835059i
$321$	8.99758			0.502196
$322$	−0.598793	+	3.01193i	−0.0333694	+	0.167848i
$323$		−	3.30535i		−	0.183914i
$324$	4.85861	−	10.6389i	0.269923	−	0.591048i
$325$	−32.4380	−	9.74041i	−1.79934	−	0.540300i
$326$	1.64836	+	1.90231i	0.0912944	+	0.105359i
$327$	4.59506	+	7.15006i	0.254108	+	0.395399i
$328$	−3.85759	−	3.34262i	−0.213000	−	0.184565i
$329$	4.55542	−	31.6836i	0.251148	−	1.74678i
$330$	0.275300	−	0.500531i	0.0151548	−	0.0275533i
$331$	4.84987	+	3.11682i	0.266573	+	0.171316i	0.667099	−	0.744969i	$-0.267536\pi$
$331$	4.84987	+	3.11682i	0.266573	+	0.171316i	−0.400525	+	0.916286i	$0.631172\pi$
$332$	14.1922	−	2.04054i	0.778901	−	0.111989i
$333$	7.68908	−	3.51149i	0.421359	−	0.192428i
$334$	−0.124013	−	0.271551i	−0.00678570	−	0.0148586i
$335$	−6.57221	+	8.72375i	−0.359078	+	0.476629i
$336$	−6.26144	−	4.02399i	−0.341590	−	0.219526i
$337$	−9.08835	−	30.9521i	−0.495074	−	1.68607i	−0.705708	−	0.708503i	$-0.749371\pi$
$337$	−9.08835	−	30.9521i	−0.495074	−	1.68607i	0.210634	−	0.977565i	$-0.432447\pi$
$338$	−6.27444	−	0.902128i	−0.341284	−	0.0490693i
$339$	−4.73483	+	5.46428i	−0.257161	+	0.296779i
$340$	−8.32275	−	1.83716i	−0.451364	−	0.0996339i
$341$	−7.86076	−	9.07180i	−0.425684	−	0.491266i
$342$	−0.244811	+	0.833748i	−0.0132378	+	0.0450839i
$343$	8.96204	+	4.09282i	0.483904	+	0.220992i
$344$	5.58137			0.300927
$345$	0.811184	−	6.30750i	0.0436727	−	0.339585i
$346$	3.70377			0.199116
$347$	−23.0792	−	10.5399i	−1.23895	−	0.565812i	−0.315284	−	0.948998i	$-0.602100\pi$
$347$	−23.0792	−	10.5399i	−1.23895	−	0.565812i	−0.923671	+	0.383186i	$0.874827\pi$
$348$	2.01862	−	6.87480i	0.108210	−	0.368528i
$349$	−9.34118	−	10.7803i	−0.500022	−	0.577056i	0.448494	−	0.893786i	$-0.351961\pi$
$349$	−9.34118	−	10.7803i	−0.500022	−	0.577056i	−0.948516	+	0.316730i	$0.897415\pi$
$350$	−1.71443	−	2.70390i	−0.0916400	−	0.144529i
$351$	14.8583	−	17.1474i	0.793079	−	0.915262i
$352$	−4.99071	−	0.717556i	−0.266006	−	0.0382459i
$353$	2.37791	+	8.09840i	0.126563	+	0.431035i	0.998257	−	0.0590163i	$-0.0187964\pi$
$353$	2.37791	+	8.09840i	0.126563	+	0.431035i	−0.871694	+	0.490051i	$0.836978\pi$
$354$	0.899826	+	0.578283i	0.0478252	+	0.0307354i
$355$	0.0912555	+	0.0687491i	0.00484334	+	0.00364882i
$356$	3.92385	+	8.59204i	0.207964	+	0.455377i
$357$	−3.47961	+	1.58908i	−0.184160	+	0.0841032i
$358$	−3.11905	+	0.448452i	−0.164847	+	0.0237014i
$359$	−17.5251	−	11.2627i	−0.924937	−	0.594421i	−0.0108509	−	0.999941i	$-0.503454\pi$
$359$	−17.5251	−	11.2627i	−0.924937	−	0.594421i	−0.914086	+	0.405520i	$0.867090\pi$
$360$	3.96373	+	2.18011i	0.208907	+	0.114902i
$361$	2.29167	−	15.9389i	0.120614	−	0.838889i
$362$	1.13455	+	0.983090i	0.0596304	+	0.0516700i
$363$	−1.92552	−	2.99616i	−0.101063	−	0.157258i
$364$	28.9222	+	33.3780i	1.51593	+	1.74948i
$365$	7.02432	+	12.9581i	0.367669	+	0.678256i
$366$	−0.505788	+	1.10752i	−0.0264380	+	0.0578910i
$367$		−	8.95879i		−	0.467645i	−0.972279	−	0.233823i	$-0.924877\pi$
$367$		−	8.95879i		−	0.467645i	0.972279	−	0.233823i	$-0.0751235\pi$
$368$	−17.6346	+	4.16905i	−0.919266	+	0.217327i
$369$	−17.6958			−0.921207
$370$	0.476851	+	1.29052i	0.0247903	+	0.0670908i
$371$	−4.64094	−	1.36270i	−0.240945	−	0.0707480i
$372$	−4.72514	+	4.09436i	−0.244987	+	0.212282i
$373$	4.99668	+	7.77499i	0.258718	+	0.402574i	0.946177	−	0.323650i	$-0.104910\pi$
$373$	4.99668	+	7.77499i	0.258718	+	0.402574i	−0.687459	+	0.726224i	$0.741274\pi$
$374$	−0.547828	+	0.632227i	−0.0283275	+	0.0326917i
$375$	3.92450	+	5.34394i	0.202660	+	0.275960i
$376$	−7.06306	+	2.07390i	−0.364250	+	0.106953i
$377$	−22.5425	+	35.0768i	−1.16100	+	1.80655i
$378$	2.12298	−	0.305238i	0.109194	−	0.0156998i
$379$	−4.43910	−	9.72027i	−0.228021	−	0.499297i	0.760693	−	0.649112i	$-0.224859\pi$
$379$	−4.43910	−	9.72027i	−0.228021	−	0.499297i	−0.988714	+	0.149815i	$0.952132\pi$
$380$	6.99163	+	2.63211i	0.358663	+	0.135024i
$381$	0.328849	+	2.28719i	0.0168474	+	0.117176i
$382$	−0.720760	+	1.12152i	−0.0368773	+	0.0573822i
$383$	−8.12875	−	27.6840i	−0.415360	−	1.41458i	−0.856035	−	0.516918i	$-0.827079\pi$
$383$	−8.12875	−	27.6840i	−0.415360	−	1.41458i	0.440675	−	0.897667i	$-0.354739\pi$
$384$	−0.496687	+	3.45453i	−0.0253464	+	0.176288i
$385$	16.5604	−	1.13357i	0.843996	−	0.0577719i
$386$	−0.942108	+	0.605456i	−0.0479520	+	0.0308169i
$387$	14.6235	−	12.6713i	0.743353	−	0.644119i
$388$	1.62041	−	5.51860i	0.0822637	−	0.280164i
$389$	−5.78463	+	12.6666i	−0.293292	+	0.642221i	−0.997715	−	0.0675598i	$-0.978479\pi$
$389$	−5.78463	+	12.6666i	−0.293292	+	0.642221i	0.704423	+	0.709781i	$0.251206\pi$
$390$	1.22060	+	1.22808i	0.0618074	+	0.0621863i
$391$	−3.09742	+	8.78287i	−0.156643	+	0.444169i
$392$			3.08157i			0.155643i
$393$	6.68046	+	3.05087i	0.336985	+	0.153896i
$394$	−1.79087	−	0.525848i	−0.0902229	−	0.0264918i
$395$	27.4053	+	2.04426i	1.37891	+	0.102858i
$396$	−9.77278	+	6.28058i	−0.491101	+	0.315611i
$397$	23.4830	+	20.3481i	1.17858	+	1.02124i	0.999299	+	0.0374461i	$0.0119222\pi$
$397$	23.4830	+	20.3481i	1.17858	+	1.02124i	0.179280	+	0.983798i	$0.442623\pi$
$398$	3.08007	+	0.442848i	0.154390	+	0.0221979i
$399$	3.21712	−	0.944633i	0.161058	−	0.0472908i
$400$	10.3108	−	15.8303i	0.515540	−	0.791517i
$401$	−3.07410	−	21.3809i	−0.153513	−	1.06771i	−0.910271	−	0.414013i	$-0.864127\pi$
$401$	−3.07410	−	21.3809i	−0.153513	−	1.06771i	0.756757	−	0.653696i	$-0.226782\pi$
$402$	0.507925	−	0.231962i	0.0253330	−	0.0115692i
$403$	33.0961	−	15.1145i	1.64864	−	0.752907i
$404$	−1.29280	−	8.99164i	−0.0643193	−	0.447351i
$405$	13.0279	−	2.79239i	0.647364	−	0.138755i
$406$	−3.78183	+	1.11045i	−0.187689	+	0.0551106i
$407$	−7.06040	−	1.01513i	−0.349971	−	0.0503182i
$408$	0.664837	+	0.576085i	0.0329144	+	0.0285205i
$409$	13.2182	−	8.49479i	0.653596	−	0.420040i	−0.171383	−	0.985205i	$-0.554824\pi$
$409$	13.2182	−	8.49479i	0.653596	−	0.420040i	0.824979	+	0.565164i	$0.191187\pi$
$410$	0.214247	−	2.87218i	0.0105809	−	0.141847i
$411$	−7.79778	−	2.28964i	−0.384636	−	0.112939i
$412$	−0.940159	−	0.429356i	−0.0463183	−	0.0211529i
$413$			31.0810i			1.52939i
$414$	1.43180	−	1.98600i	0.0703693	−	0.0976066i
$415$	11.5146	+	11.5852i	0.565228	+	0.568693i
$416$	6.34869	−	13.9017i	0.311270	−	0.681586i
$417$	−0.218295	+	0.743444i	−0.0106899	+	0.0364066i
$418$	0.554159	−	0.480182i	0.0271048	−	0.0234865i
$419$	−29.6705	+	19.0681i	−1.44950	+	0.931537i	−0.450247	+	0.892904i	$0.648664\pi$
$419$	−29.6705	+	19.0681i	−1.44950	+	0.931537i	−0.999253	+	0.0386328i	$0.987700\pi$
$420$	−0.590430	−	8.62565i	−0.0288100	−	0.420888i
$421$	−3.71916	+	25.8673i	−0.181261	+	1.26070i	0.672526	+	0.740073i	$0.265209\pi$
$421$	−3.71916	+	25.8673i	−0.181261	+	1.26070i	−0.853787	+	0.520622i	$0.825700\pi$
$422$	−0.731190	−	2.49020i	−0.0355938	−	0.121221i
$423$	−13.7972	+	21.4689i	−0.670845	+	1.04386i
$424$	0.158302	+	1.10102i	0.00768784	+	0.0534701i
$425$	−3.97942	−	8.85658i	−0.193030	−	0.429607i
$426$	−0.00242645	−	0.00531319i	−0.000117562	−	0.000257425i
$427$	−35.0192	+	5.03500i	−1.69470	+	0.243661i
$428$	16.1009	−	25.0534i	0.778265	−	1.21100i
$429$	−8.61347	+	2.52914i	−0.415862	+	0.122108i
$430$	1.87961	+	2.52693i	0.0906430	+	0.121859i
$431$	−0.618262	+	0.713512i	−0.0297806	+	0.0343687i	−0.770444	−	0.637507i	$-0.779966\pi$
$431$	−0.618262	+	0.713512i	−0.0297806	+	0.0343687i	0.740664	+	0.671876i	$0.234511\pi$
$432$	6.84243	+	10.6470i	0.329206	+	0.512255i
$433$	−28.3777	+	24.5894i	−1.36374	+	1.18169i	−0.399483	+	0.916741i	$0.630810\pi$
$433$	−28.3777	+	24.5894i	−1.36374	+	1.18169i	−0.964262	+	0.264951i	$0.914644\pi$
$434$	3.30005	+	0.968983i	0.158408	+	0.0465127i
$435$	7.65644	−	2.82908i	0.367098	−	0.135644i
$436$	28.1318			1.34727
$437$	3.78290	−	7.23362i	0.180961	−	0.346031i
$438$		−	0.753530i		−	0.0360050i
$439$	−13.0134	+	28.4954i	−0.621097	+	1.36001i	0.293622	+	0.955922i	$0.405139\pi$
$439$	−13.0134	+	28.4954i	−0.621097	+	1.36001i	−0.914719	+	0.404091i	$0.867588\pi$
$440$	−1.81920	−	3.35596i	−0.0867270	−	0.159989i
$441$	6.99606	+	8.07388i	0.333146	+	0.384470i
$442$	−1.37088	−	2.13313i	−0.0652062	−	0.101463i
$443$	11.4266	+	9.90118i	0.542893	+	0.470419i	0.882608	−	0.470109i	$-0.155785\pi$
$443$	11.4266	+	9.90118i	0.542893	+	0.470419i	−0.339716	+	0.940528i	$0.610331\pi$
$444$	−0.528741	+	3.67748i	−0.0250930	+	0.174525i
$445$	−5.18577	+	9.42842i	−0.245829	+	0.446950i
$446$	−1.93753	−	1.24517i	−0.0917446	−	0.0589607i
$447$	−0.127167	+	0.0182838i	−0.00601479	+	0.000864796i
$448$	−21.5194	+	9.82758i	−1.01670	+	0.464309i
$449$	−12.1138	−	26.5254i	−0.571684	−	1.25181i	−0.945896	−	0.324470i	$-0.894814\pi$
$449$	−12.1138	−	26.5254i	−0.571684	−	1.25181i	0.374212	−	0.927343i	$-0.377913\pi$
$450$	0.347817	+	2.52874i	0.0163962	+	0.119206i
$451$	12.5621	+	8.07315i	0.591524	+	0.380150i
$452$	6.74228	+	22.9621i	0.317130	+	1.08005i
$453$	−3.45999	−	0.497471i	−0.162564	−	0.0233732i
$454$	1.13197	−	1.30636i	0.0531258	−	0.0613104i
$455$	−10.8450	+	49.1305i	−0.508423	+	2.30327i
$456$	−0.504950	−	0.582743i	−0.0236464	−	0.0272894i
$457$	0.882742	−	3.00634i	0.0412929	−	0.140631i	−0.936267	−	0.351290i	$-0.885743\pi$
$457$	0.882742	−	3.00634i	0.0412929	−	0.140631i	0.977559	+	0.210660i	$0.0675612\pi$
$458$	0.535010	+	0.244331i	0.0249994	+	0.0114168i
$459$	6.50456			0.303607
$460$	−16.1114	−	13.5458i	−0.751199	−	0.631575i
$461$	−35.6709			−1.66136			−0.830679	−	0.556751i	$-0.812048\pi$
$461$	−35.6709			−1.66136			−0.830679	+	0.556751i	$0.812048\pi$
$462$	−0.771915	−	0.352522i	−0.0359128	−	0.0164008i
$463$	8.14417	−	27.7365i	0.378491	−	1.28902i	−0.521550	−	0.853220i	$-0.674646\pi$
$463$	8.14417	−	27.7365i	0.378491	−	1.28902i	0.900042	−	0.435803i	$-0.143536\pi$
$464$	−15.2308	−	17.5773i	−0.707071	−	0.816004i
$465$	−6.95513	−	1.53527i	−0.322537	−	0.0711965i
$466$	1.76184	−	2.03327i	0.0816155	−	0.0941893i
$467$	39.4110	+	5.66644i	1.82372	+	0.262212i	0.967221	−	0.253934i	$-0.0817247\pi$
$467$	39.4110	+	5.66644i	1.82372	+	0.262212i	0.856501	+	0.516146i	$0.172634\pi$
$468$	−9.92029	−	33.7854i	−0.458566	−	1.56173i
$469$	13.6497	+	8.77214i	0.630286	+	0.405060i
$470$	−3.31754	−	2.49934i	−0.153027	−	0.115286i
$471$	−1.07206	−	2.34748i	−0.0493979	−	0.108166i
$472$	6.50180	−	2.96927i	0.299270	−	0.136672i
$473$	−16.1619	+	2.32373i	−0.743126	+	0.106845i
$474$	−1.18191	−	0.759567i	−0.0542869	−	0.0348881i
$475$	2.34775	+	8.18035i	0.107722	+	0.375340i
$476$	−1.80189	+	12.5324i	−0.0825896	+	0.574423i
$477$	2.91439	+	2.52533i	0.133441	+	0.115627i
$478$	−0.0933550	−	0.145263i	−0.00426996	−	0.00664418i
$479$	21.5479	+	24.8676i	0.984547	+	1.13623i	0.990675	+	0.136247i	$0.0435040\pi$
$479$	21.5479	+	24.8676i	0.984547	+	1.13623i	−0.00612775	+	0.999981i	$0.501951\pi$
$480$	−2.63017	+	1.42577i	−0.120050	+	0.0650770i
$481$	8.98153	−	19.6668i	0.409523	−	0.896730i
$482$		−	0.125677i		−	0.00572443i
$483$	−9.43365	−	0.504694i	−0.429246	−	0.0229644i
$484$	−11.7883			−0.535834
$485$	6.14605	−	2.27099i	0.279078	−	0.103120i
$486$	−2.51217	−	0.737638i	−0.113954	−	0.0334600i
$487$	−13.3388	+	11.5581i	−0.604437	+	0.523748i	−0.902439	−	0.430818i	$-0.858225\pi$
$487$	−13.3388	+	11.5581i	−0.604437	+	0.523748i	0.298002	+	0.954565i	$0.403680\pi$
$488$	4.39877	+	6.84462i	0.199123	+	0.309841i
$489$	−5.07097	+	5.85221i	−0.229317	+	0.264646i
$490$	−1.39516	+	1.03777i	−0.0630270	+	0.0468816i
$491$	−18.5782	+	5.45504i	−0.838421	+	0.246183i	−0.672631	−	0.739978i	$-0.734836\pi$
$491$	−18.5782	+	5.45504i	−0.838421	+	0.246183i	−0.165791	+	0.986161i	$0.553018\pi$
$492$	4.20498	−	6.54308i	0.189575	−	0.294985i
$493$	−11.8317	+	1.70114i	−0.532873	+	0.0766155i
$494$	0.923283	+	2.02171i	0.0415405	+	0.0909609i
$495$	−12.3854	−	4.66268i	−0.556682	−	0.209572i
$496$	2.88830	+	20.0886i	0.129688	+	0.902003i
$497$	0.0917617	−	0.142784i	0.00411608	−	0.00640474i
$498$	−0.235261	−	0.801224i	−0.0105423	−	0.0359037i
$499$	4.09970	−	28.5140i	0.183528	−	1.27646i	−0.664812	−	0.747011i	$-0.731488\pi$
$499$	4.09970	−	28.5140i	0.183528	−	1.27646i	0.848340	−	0.529452i	$-0.177602\pi$
$500$	21.9027	−	1.36481i	0.979521	−	0.0610363i
$501$	0.772593	−	0.496515i	0.0345169	−	0.0221827i
$502$	−0.971605	+	0.841901i	−0.0433649	+	0.0375759i
$503$	2.81375	−	9.58275i	0.125459	−	0.427274i	−0.872677	−	0.488297i	$-0.837618\pi$
$503$	2.81375	−	9.58275i	0.125459	−	0.427274i	0.998136	+	0.0610233i	$0.0194364\pi$
$504$	2.79164	−	6.11283i	0.124349	−	0.272287i
$505$	7.33990	−	7.29517i	0.326621	−	0.324631i
$506$	−1.92247	+	0.756626i	−0.0854642	+	0.0336361i
$507$		−	19.5010i		−	0.866068i
$508$	6.95707	+	3.17719i	0.308670	+	0.140965i
$509$	30.6279	+	8.99315i	1.35756	+	0.398615i	0.877901	−	0.478842i	$-0.158943\pi$
$509$	30.6279	+	8.99315i	1.35756	+	0.398615i	0.479656	+	0.877457i	$0.340762\pi$
$510$	−0.0369244	+	0.495007i	−0.00163504	+	0.0219193i
$511$	18.4200	−	11.8378i	0.814854	−	0.523675i
$512$	10.8053	+	9.36285i	0.477532	+	0.413783i
$513$	−5.64334	−	0.811390i	−0.249160	−	0.0358238i
$514$	0.779770	−	0.228961i	0.0343942	−	0.0100990i
$515$	−0.246764	−	1.15128i	−0.0108737	−	0.0507316i
$516$	1.21034	+	8.41810i	0.0532823	+	0.370586i
$517$	19.5890	−	8.94601i	0.861524	−	0.393445i
$518$	1.85910	−	0.849020i	0.0816840	−	0.0373038i
$519$	1.62156	+	11.2782i	0.0711784	+	0.495057i
$520$	11.3136	−	2.42494i	0.496135	−	0.106341i
$521$	−28.5753	+	8.39048i	−1.25191	+	0.367594i	−0.839477	−	0.543395i	$-0.817139\pi$
$521$	−28.5753	+	8.39048i	−1.25191	+	0.367594i	−0.412432	+	0.910989i	$0.635320\pi$
$522$	3.11045	+	0.447215i	0.136141	+	0.0195741i
$523$	−16.4176	−	14.2259i	−0.717890	−	0.622055i	0.217340	−	0.976096i	$-0.430262\pi$
$523$	−16.4176	−	14.2259i	−0.717890	−	0.622055i	−0.935230	+	0.354041i	$0.884807\pi$
$524$	20.4495	−	13.1421i	0.893339	−	0.574114i
$525$	7.48291	−	6.40432i	0.326581	−	0.279508i
$526$	−3.98945	−	1.17141i	−0.173948	−	0.0510758i
$527$	9.48799	+	4.33302i	0.413303	+	0.188749i
$528$		−	5.00745i		−	0.217921i
$529$	−16.8304	+	15.6760i	−0.731756	+	0.681567i
$530$	−0.445168	+	0.442455i	−0.0193368	+	0.0192190i
$531$	10.2940	−	22.5406i	0.446719	−	0.978179i
$532$	3.12664	−	10.6483i	0.135557	−	0.461664i
$533$	−34.2065	+	29.6401i	−1.48165	+	1.28385i
$534$	0.462781	−	0.297411i	0.0200265	−	0.0128702i
$535$	33.8474	−	2.31687i	1.46335	−	0.100167i
$536$	0.531032	−	3.69341i	0.0229371	−	0.159531i
$537$	−2.73112	−	9.30134i	−0.117857	−	0.401382i
$538$	−0.725259	+	1.12852i	−0.0312681	+	0.0486541i
$539$	−1.28297	−	8.92328i	−0.0552616	−	0.384353i
$540$	−5.17970	+	13.7588i	−0.222899	+	0.592083i
$541$	−2.16838	−	4.74808i	−0.0932257	−	0.204136i	0.857275	−	0.514860i	$-0.172156\pi$
$541$	−2.16838	−	4.74808i	−0.0932257	−	0.204136i	−0.950500	+	0.310724i	$0.899429\pi$
$542$	0.829252	−	0.119228i	0.0356194	−	0.00512130i
$543$	−2.49684	+	3.88516i	−0.107150	+	0.166728i
$544$	4.20378	−	1.23434i	0.180236	−	0.0529220i
$545$	19.1270	+	25.7141i	0.819310	+	1.10147i
$546$	1.68441	−	1.94392i	0.0720863	−	0.0831920i
$547$	5.49555	+	8.55124i	0.234973	+	0.365625i	0.938636	−	0.344909i	$-0.112090\pi$
$547$	5.49555	+	8.55124i	0.234973	+	0.365625i	−0.703663	+	0.710533i	$0.748454\pi$
$548$	−20.3293	+	17.6154i	−0.868423	+	0.752493i
$549$	27.0643	+	7.94678i	1.15507	+	0.339160i
$550$	0.906745	−	1.95380i	0.0386637	−	0.0833105i
$551$	10.4774			0.446350
$552$	0.795653	+	2.02163i	0.0338652	+	0.0860464i
$553$		−	40.8244i		−	1.73603i
$554$	−1.53661	+	3.36471i	−0.0652843	+	0.142953i
$555$	−3.72092	+	2.01704i	−0.157944	+	0.0856187i
$556$	1.67946	+	1.93820i	0.0712250	+	0.0821981i
$557$	−19.0010	−	29.5661i	−0.805096	−	1.25275i	−0.964117	−	0.265479i	$-0.914470\pi$
$557$	−19.0010	−	29.5661i	−0.805096	−	1.25275i	0.159020	−	0.987275i	$-0.449167\pi$
$558$	−2.07235	−	1.79570i	−0.0877295	−	0.0760180i
$559$	7.04340	−	48.9879i	0.297904	−	2.07197i
$560$	−24.5907	−	13.5252i	−1.03915	−	0.571546i
$561$	−2.16501	−	1.39137i	−0.0914068	−	0.0587436i
$562$	−1.27146	+	0.182808i	−0.0536332	+	0.00771129i
$563$	−28.3121	+	12.9297i	−1.19321	+	0.544921i	−0.910189	−	0.414192i	$-0.864064\pi$
$563$	−28.3121	+	12.9297i	−1.19321	+	0.544921i	−0.283022	+	0.959113i	$0.591337\pi$
$564$	−4.65962	−	10.2031i	−0.196205	−	0.429630i
$565$	−16.4046	+	21.7749i	−0.690146	+	0.916078i
$566$	0.973801	+	0.625824i	0.0409319	+	0.0263053i
$567$	−5.57632	−	18.9912i	−0.234183	−	0.797555i
$568$	−0.0386352	−	0.00555490i	−0.00162110	−	0.000233078i
$569$	−29.1395	+	33.6288i	−1.22159	+	1.40979i	−0.338256	+	0.941054i	$0.609837\pi$
$569$	−29.1395	+	33.6288i	−1.22159	+	1.40979i	−0.883337	+	0.468739i	$0.844708\pi$
$570$	0.0937835	−	0.424861i	0.00392816	−	0.0177955i
$571$	−10.7055	−	12.3548i	−0.448013	−	0.517034i	0.486153	−	0.873874i	$-0.338400\pi$
$571$	−10.7055	−	12.3548i	−0.448013	−	0.517034i	−0.934166	+	0.356840i	$0.883854\pi$
$572$	−8.37120	+	28.5097i	−0.350018	+	1.19205i
$573$	−3.73066	−	1.70373i	−0.155850	−	0.0711745i
$574$	−4.27856			−0.178584
$575$	1.42736	−	23.9366i	0.0595250	−	0.998227i
$576$	18.8612			0.785884
$577$	−18.4367	−	8.41977i	−0.767531	−	0.350520i	−0.00713075	−	0.999975i	$-0.502270\pi$
$577$	−18.4367	−	8.41977i	−0.767531	−	0.350520i	−0.760400	+	0.649455i	$0.774997\pi$
$578$	−0.718451	+	2.44682i	−0.0298836	+	0.101774i
$579$	−2.25611	−	2.60369i	−0.0937608	−	0.108206i
$580$	5.82346	−	26.3816i	0.241806	−	1.09544i
$581$	15.8900	−	18.3380i	0.659229	−	0.760790i
$582$	−0.331560	−	0.0476711i	−0.0137436	−	0.00197603i
$583$	−0.916790	−	3.12230i	−0.0379696	−	0.129312i
$584$	−4.23607	−	2.72236i	−0.175290	−	0.112652i
$585$	24.1370	−	32.0386i	0.997940	−	1.32464i
$586$	−1.28133	−	2.80572i	−0.0529312	−	0.115903i
$587$	22.3982	−	10.2289i	0.924474	−	0.422193i	0.104455	−	0.994530i	$-0.466690\pi$
$587$	22.3982	−	10.2289i	0.924474	−	0.422193i	0.820019	+	0.572337i	$0.193963\pi$
$588$	−4.64778	+	0.668250i	−0.191671	+	0.0275582i
$589$	−7.69125	−	4.94287i	−0.316912	−	0.203667i
$590$	3.53390	+	1.94370i	0.145488	+	0.0800208i
$591$	0.817168	−	5.68353i	0.0336138	−	0.233789i
$592$	9.11436	+	7.89764i	0.374598	+	0.324591i
$593$	−14.1304	−	21.9873i	−0.580266	−	0.902912i	0.419723	−	0.907652i	$-0.362127\pi$
$593$	−14.1304	−	21.9873i	−0.580266	−	0.902912i	−0.999989	+	0.00474074i	$0.998491\pi$
$594$	0.944945	+	1.09052i	0.0387716	+	0.0447448i
$595$	−12.6805	+	6.87386i	−0.519850	+	0.281801i
$596$	−0.176650	+	0.386810i	−0.00723587	+	0.0158443i
$597$			9.57287i			0.391792i
$598$	−0.558792	−	6.23722i	−0.0228507	−	0.255059i
$599$	7.94091			0.324457			0.162228	−	0.986753i	$-0.448132\pi$
$599$	7.94091			0.324457			0.162228	+	0.986753i	$0.448132\pi$
$600$	−2.05458	−	0.953515i	−0.0838780	−	0.0389271i
$601$	−5.24492	−	1.54005i	−0.213945	−	0.0628198i	0.173004	−	0.984921i	$-0.444653\pi$
$601$	−5.24492	−	1.54005i	−0.213945	−	0.0628198i	−0.386948	+	0.922101i	$0.626471\pi$
$602$	3.53572	−	3.06372i	0.144105	−	0.124868i
$603$	−6.99377	−	10.8825i	−0.284808	−	0.443170i
$604$	−7.57671	+	8.74399i	−0.308292	+	0.355788i
$605$	−8.01498	−	10.7752i	−0.325855	−	0.438076i
$606$	−0.507624	+	0.149052i	−0.0206208	+	0.00605481i
$607$	10.7420	−	16.7149i	0.436005	−	0.678437i	−0.551827	−	0.833958i	$-0.686069\pi$
$607$	10.7420	−	16.7149i	0.436005	−	0.678437i	0.987833	+	0.155521i	$0.0497057\pi$
$608$	−3.80117	+	0.546525i	−0.154158	+	0.0221645i
$609$	−5.03711	−	11.0297i	−0.204114	−	0.446947i
$610$	−1.61750	+	4.29655i	−0.0654908	+	0.173962i
$611$	9.28952	+	64.6100i	0.375814	+	2.61384i
$612$	5.45749	−	8.49202i	0.220606	−	0.343270i
$613$	5.11722	+	17.4277i	0.206683	+	0.703897i	0.995955	+	0.0898532i	$0.0286398\pi$
$613$	5.11722	+	17.4277i	0.206683	+	0.703897i	−0.789272	+	0.614043i	$0.789542\pi$
$614$	0.103012	−	0.716462i	0.00415721	−	0.0289141i
$615$	8.83975	−	0.605085i	0.356453	−	0.0243994i
$616$	−4.77053	+	3.06584i	−0.192210	+	0.123526i
$617$	−9.83715	+	8.52394i	−0.396029	+	0.343161i	−0.829998	−	0.557767i	$-0.811658\pi$
$617$	−9.83715	+	8.52394i	−0.396029	+	0.343161i	0.433969	+	0.900928i	$0.357113\pi$
$618$	−0.0169586	+	0.0577558i	−0.000682176	+	0.00232328i
$619$	15.6451	−	34.2580i	0.628830	−	1.37695i	−0.280089	−	0.959974i	$-0.590364\pi$
$619$	15.6451	−	34.2580i	0.628830	−	1.37695i	0.908919	−	0.416972i	$-0.136909\pi$
$620$	−16.7209	+	16.6190i	−0.671527	+	0.667435i
$621$	14.2350	+	7.44434i	0.571230	+	0.298731i
$622$		−	2.00189i		−	0.0802683i
$623$	14.5404	+	6.64039i	0.582550	+	0.266042i
$624$	14.5631	+	4.27612i	0.582991	+	0.171182i
$625$	16.1393	+	19.0924i	0.645574	+	0.763698i
$626$	1.85019	−	1.18905i	0.0739486	−	0.0475239i
$627$	1.70480	+	1.47721i	0.0680830	+	0.0589943i
$628$	−8.45489	−	1.21563i	−0.337387	−	0.0485089i
$629$	5.94712	−	1.74623i	0.237127	−	0.0696269i
$630$	3.70767	−	0.794696i	0.147717	−	0.0316614i
$631$	3.45896	+	24.0576i	0.137699	+	0.957717i	0.935130	+	0.354306i	$0.115283\pi$
$631$	3.45896	+	24.0576i	0.137699	+	0.957717i	−0.797431	+	0.603411i	$0.793808\pi$
$632$	−8.54002	+	3.90010i	−0.339704	+	0.155138i
$633$	7.26268	−	3.31676i	0.288666	−	0.131829i
$634$	0.440647	+	3.06477i	0.0175003	+	0.121718i
$635$	1.82602	+	8.51936i	0.0724635	+	0.338080i
$636$	−1.62628	+	0.477519i	−0.0644862	+	0.0189349i
$637$	27.0471	+	3.88879i	1.07165	+	0.154079i
$638$	−2.00405	−	1.73651i	−0.0793409	−	0.0687493i
$639$	−0.113837	+	0.0731589i	−0.00450334	+	0.00289412i
$640$	−0.978912	+	13.1233i	−0.0386949	+	0.518742i
$641$	31.3889	+	9.21661i	1.23979	+	0.364034i	0.834935	−	0.550348i	$-0.185505\pi$
$641$	31.3889	+	9.21661i	1.23979	+	0.364034i	0.404852	+	0.914382i	$0.367323\pi$
$642$	−1.57770	−	0.720511i	−0.0622668	−	0.0284363i
$643$		−	8.09996i		−	0.319431i	−0.987163	−	0.159716i	$-0.948942\pi$
$643$		−	8.09996i		−	0.319431i	0.987163	−	0.159716i	$-0.0510577\pi$
$644$	−18.2865	+	25.3645i	−0.720589	+	0.999502i
$645$	−6.87172	+	6.82985i	−0.270574	+	0.268925i
$646$	−0.264686	+	0.579582i	−0.0104139	+	0.0228034i
$647$	−3.82802	+	13.0370i	−0.150495	+	0.512539i	−0.999884	−	0.0152284i	$-0.995152\pi$
$647$	−3.82802	+	13.0370i	−0.150495	+	0.512539i	0.849389	+	0.527767i	$0.176971\pi$
$648$	−3.44002	+	2.98080i	−0.135137	+	0.117097i
$649$	−17.5910	+	11.3050i	−0.690507	+	0.443762i
$650$	4.90792	+	4.30553i	0.192504	+	0.168877i
$651$	−1.50580	+	10.4731i	−0.0590170	+	0.410472i
$652$	7.22094	+	24.5923i	0.282794	+	0.963107i
$653$	14.8207	−	23.0614i	0.579978	−	0.902463i	−0.420010	−	0.907520i	$-0.637973\pi$
$653$	14.8207	−	23.0614i	0.579978	−	0.902463i	0.999987	+	0.00505700i	$0.00160970\pi$
$654$	−0.233166	−	1.62171i	−0.00911752	−	0.0634137i
$655$	25.9164	+	9.75663i	1.01264	+	0.381223i
$656$	−10.4880	−	22.9655i	−0.409487	−	0.896652i
$657$	−17.2793	+	2.48438i	−0.674128	+	0.0969250i
$658$	−3.33595	+	5.19084i	−0.130049	+	0.202360i
$659$	−18.9335	+	5.55939i	−0.737546	+	0.216563i	−0.628866	−	0.777514i	$-0.716481\pi$
$659$	−18.9335	+	5.55939i	−0.737546	+	0.216563i	−0.108680	+	0.994077i	$0.534662\pi$
$660$	4.66713	−	3.47156i	0.181668	−	0.135130i
$661$	13.2575	−	15.3000i	0.515658	−	0.595101i	−0.436880	−	0.899520i	$-0.643917\pi$
$661$	13.2575	−	15.3000i	0.515658	−	0.595101i	0.952538	+	0.304419i	$0.0984622\pi$
$662$	−0.600821	−	0.934895i	−0.0233516	−	0.0363357i
$663$	5.89532	−	5.10832i	0.228955	−	0.198391i
$664$	−5.35415	−	1.57212i	−0.207781	−	0.0610100i
$665$	11.8590	−	4.38196i	0.459874	−	0.169925i
$666$	−1.62945			−0.0631399
$667$	−27.8401	−	9.81825i	−1.07797	−	0.380164i
$668$		−	3.03975i		−	0.117612i
$669$	2.94335	−	6.44503i	0.113796	−	0.249179i
$670$	1.85100	−	1.00339i	0.0715103	−	0.0387644i
$671$	−15.5872	−	17.9885i	−0.601735	−	0.694440i
$672$	2.40279	+	3.73882i	0.0926897	+	0.144228i
$673$	12.4252	+	10.7665i	0.478957	+	0.415019i	0.860592	−	0.509294i	$-0.170094\pi$
$673$	12.4252	+	10.7665i	0.478957	+	0.415019i	−0.381635	+	0.924313i	$0.624639\pi$
$674$	−0.884975	+	6.15513i	−0.0340880	+	0.237087i
$675$	−16.0980	+	4.62013i	−0.619613	+	0.177829i
$676$	−54.2997	−	34.8963i	−2.08845	−	1.34216i
$677$	25.0565	−	3.60259i	0.963001	−	0.138459i	0.357159	−	0.934044i	$-0.383745\pi$
$677$	25.0565	−	3.60259i	0.963001	−	0.138459i	0.605842	+	0.795585i	$0.292836\pi$
$678$	1.26781	−	0.578989i	0.0486899	−	0.0222359i
$679$	−4.04343	−	8.85388i	−0.155173	−	0.339781i
$680$	2.64935	+	1.99594i	0.101598	+	0.0765408i
$681$	4.47352	+	2.87496i	0.171426	+	0.110169i
$682$	0.651906	+	2.22019i	0.0249628	+	0.0850154i
$683$	3.47427	+	0.499524i	0.132939	+	0.0191138i	0.208463	−	0.978030i	$-0.433154\pi$
$683$	3.47427	+	0.499524i	0.132939	+	0.0191138i	−0.0755240	+	0.997144i	$0.524063\pi$
$684$	−5.79422	+	6.68688i	−0.221547	+	0.255679i
$685$	−29.9235	−	6.60530i	−1.14332	−	0.252376i
$686$	−1.24372	−	1.43533i	−0.0474854	−	0.0548011i
$687$	−0.509767	+	1.73611i	−0.0194488	+	0.0662366i
$688$	25.1118	+	11.4682i	0.957379	+	0.437220i
$689$	9.86345			0.375767
$690$	−0.647333	+	1.04104i	−0.0246435	+	0.0396318i
$691$	−23.1533			−0.880793			−0.440397	−	0.897803i	$-0.645162\pi$
$691$	−23.1533			−0.880793			−0.440397	+	0.897803i	$0.645162\pi$
$692$	34.3054	+	15.6667i	1.30409	+	0.595560i
$693$	−5.53872	+	18.8631i	−0.210398	+	0.716551i
$694$	3.20285	+	3.69628i	0.121578	+	0.140309i
$695$	−0.629752	+	2.85292i	−0.0238879	+	0.108218i
$696$	−1.82609	+	2.10741i	−0.0692176	+	0.0798813i
$697$	−12.8435	−	1.84662i	−0.486483	−	0.0699457i
$698$	0.774680	+	2.63832i	0.0293221	+	0.0998618i
$699$	6.96276	+	4.47470i	0.263356	+	0.169249i
$700$	−4.44219	−	32.2962i	−0.167899	−	1.22068i
$701$	0.707265	+	1.54869i	0.0267130	+	0.0584934i	0.922518	−	0.385954i	$-0.126128\pi$
$701$	0.707265	+	1.54869i	0.0267130	+	0.0584934i	−0.895805	+	0.444447i	$0.853400\pi$
$702$	−3.97850	+	1.81692i	−0.150159	+	0.0685752i
$703$	−5.37754	+	0.773173i	−0.202818	+	0.0291608i
$704$	−13.3894	−	8.60482i	−0.504631	−	0.324306i
$705$	6.15816	−	11.1963i	0.231930	−	0.421679i
$706$	0.231548	−	1.61045i	0.00871441	−	0.0606101i
$707$	−11.6182	−	10.0673i	−0.436949	−	0.378619i
$708$	5.88834	+	9.16244i	0.221298	+	0.344346i
$709$	32.3210	+	37.3005i	1.21384	+	1.40085i	0.890758	+	0.454478i	$0.150174\pi$
$709$	32.3210	+	37.3005i	1.21384	+	1.40085i	0.323084	+	0.946370i	$0.395281\pi$
$710$	−0.0104961	−	0.0193625i	−0.000393910	−	0.000726663i
$711$	−13.5210	+	29.6068i	−0.507076	+	1.11034i
$712$		−	3.67608i		−	0.137767i
$713$	15.8050	+	20.3415i	0.591903	+	0.761794i
$714$	0.737389			0.0275961
$715$	−31.7512	+	11.7322i	−1.18743	+	0.438758i
$716$	−30.7865	−	9.03972i	−1.15054	−	0.337830i
$717$	0.401462	−	0.347869i	0.0149929	−	0.0129914i
$718$	2.17107	+	3.37825i	0.0810236	+	0.126075i
$719$	13.2519	−	15.2935i	0.494211	−	0.570350i	−0.452775	−	0.891625i	$-0.649566\pi$
$719$	13.2519	−	15.2935i	0.494211	−	0.570350i	0.946986	+	0.321275i	$0.104111\pi$
$720$	13.3542	+	17.9532i	0.497680	+	0.669075i
$721$	−1.67826	+	0.492780i	−0.0625015	+	0.0183521i
$722$	−1.67820	+	2.61132i	−0.0624560	+	0.0971834i
$723$	0.382693	−	0.0550230i	0.0142325	−	0.00204633i
$724$	6.35008	+	13.9047i	0.235999	+	0.516765i
$725$	28.0737	−	12.6141i	1.04263	−	0.468474i
$726$	0.0977060	+	0.679560i	0.00362621	+	0.0252208i
$727$	−14.2732	+	22.2096i	−0.529364	+	0.823707i	−0.998224	−	0.0595657i	$-0.981028\pi$
$727$	−14.2732	+	22.2096i	−0.529364	+	0.823707i	0.468860	+	0.883272i	$0.344665\pi$
$728$	−4.84254	−	16.4922i	−0.179476	−	0.611241i
$729$	−1.39770	+	9.72123i	−0.0517667	+	0.360045i
$730$	−0.194033	−	2.83465i	−0.00718149	−	0.104915i
$731$	11.9359	−	7.67075i	0.441466	−	0.283713i
$732$	−9.36951	+	8.11872i	−0.346307	+	0.300077i
$733$	−7.23354	+	24.6352i	−0.267177	+	0.909921i	0.711182	+	0.703008i	$0.248160\pi$
$733$	−7.23354	+	24.6352i	−0.267177	+	0.909921i	−0.978359	+	0.206914i	$0.933658\pi$
$734$	−0.717405	+	1.57090i	−0.0264799	+	0.0579829i
$735$	−3.77088	−	3.79400i	−0.139091	−	0.139944i
$736$	10.6125	+	2.10984i	0.391182	+	0.0777696i
$737$			10.9161i			0.402098i
$738$	3.10291	+	1.41705i	0.114220	+	0.0521624i
$739$	14.2986	+	4.19846i	0.525984	+	0.154443i	0.533935	−	0.845526i	$-0.320713\pi$
$739$	14.2986	+	4.19846i	0.525984	+	0.154443i	−0.00795122	+	0.999968i	$0.502531\pi$
$740$	−1.04209	+	13.9702i	−0.0383079	+	0.513555i
$741$	−5.75198	+	3.69658i	−0.211304	+	0.135797i
$742$	0.704651	+	0.610584i	0.0258686	+	0.0224152i
$743$	23.0482	+	3.31384i	0.845558	+	0.121573i	0.551459	−	0.834202i	$-0.314071\pi$
$743$	23.0482	+	3.31384i	0.845558	+	0.121573i	0.294099	+	0.955775i	$0.404980\pi$
$744$	2.33471	−	0.685532i	0.0855945	−	0.0251328i
$745$	−0.473672	+	0.101526i	−0.0173540	+	0.00371963i
$746$	−0.253545	−	1.76345i	−0.00928295	−	0.0645643i
$747$	−17.5973	+	8.03642i	−0.643852	+	0.294037i
$748$	−7.74842	+	3.53859i	−0.283310	+	0.129384i
$749$	−7.17251	−	49.8859i	−0.262078	−	1.82279i
$750$	−0.260215	−	1.25131i	−0.00950170	−	0.0456914i
$751$	−7.02028	+	2.06134i	−0.256173	+	0.0752193i	−0.407298	−	0.913295i	$-0.633529\pi$
$751$	−7.02028	+	2.06134i	−0.256173	+	0.0752193i	0.151124	+	0.988515i	$0.451711\pi$
$752$	−36.0396	−	5.18171i	−1.31423	−	0.188958i
$753$	−2.98901	−	2.59000i	−0.108926	−	0.0943847i
$754$	6.76165	−	4.34545i	0.246245	−	0.158252i
$755$	−13.1440	−	0.980458i	−0.478358	−	0.0356825i
$756$	20.9548	+	6.15288i	0.762118	+	0.223778i
$757$	27.4138	+	12.5195i	0.996372	+	0.455028i	0.845759	−	0.533565i	$-0.179148\pi$
$757$	27.4138	+	12.5195i	0.996372	+	0.455028i	0.150613	+	0.988593i	$0.451875\pi$
$758$			2.05990i			0.0748188i
$759$	−3.14565	−	5.52277i	−0.114180	−	0.200464i
$760$	−2.04959	−	2.06216i	−0.0743465	−	0.0748023i
$761$	9.46300	−	20.7211i	0.343034	−	0.751139i	−0.656963	−	0.753923i	$-0.728159\pi$
$761$	9.46300	−	20.7211i	0.343034	−	0.751139i	0.999996	+	0.00278453i	$0.000886345\pi$
$762$	0.125492	−	0.427386i	0.00454609	−	0.0154826i
$763$	35.9796	−	31.1765i	1.30255	−	1.12866i
$764$	−11.4199	+	7.33910i	−0.413156	+	0.265519i
$765$	11.4728	−	0.785318i	0.414800	−	0.0283932i
$766$	−0.791534	+	5.50524i	−0.0285993	+	0.198912i
$767$	−17.8565	−	60.8137i	−0.644761	−	2.19585i
$768$	−4.20303	+	6.54004i	−0.151664	+	0.235993i
$769$	4.58151	+	31.8651i	0.165214	+	1.14909i	0.888614	+	0.458657i	$0.151669\pi$
$769$	4.58151	+	31.8651i	0.165214	+	1.14909i	−0.723400	+	0.690429i	$0.757422\pi$
$770$	−2.99459	−	1.12736i	−0.107918	−	0.0406272i
$771$	1.03859	+	2.27420i	0.0374040	+	0.0819033i
$772$	−11.2871	+	1.62284i	−0.406232	+	0.0584074i
$773$	1.79500	−	2.79308i	0.0645617	−	0.100460i	−0.807472	−	0.589906i	$-0.799165\pi$
$773$	1.79500	−	2.79308i	0.0645617	−	0.100460i	0.872033	+	0.489446i	$0.162801\pi$
$774$	−3.57888	+	1.05085i	−0.128640	+	0.0377722i
$775$	−26.5594	−	3.98449i	−0.954041	−	0.143127i
$776$	−1.46585	+	1.69168i	−0.0526210	+	0.0607279i
$777$	3.39925	+	5.28933i	0.121947	+	0.189754i
$778$	2.02863	−	1.75782i	0.0727301	−	0.0630210i
$779$	10.9127	+	3.20424i	0.390986	+	0.114804i
$780$	6.11082	+	16.5379i	0.218802	+	0.592152i
$781$	0.114188			0.00408598
$782$	1.24644	−	1.29201i	0.0445726	−	0.0462023i
$783$			20.6183i			0.736837i
$784$	−6.33179	+	13.8647i	−0.226135	+	0.495167i
$785$	−4.63738	−	8.55478i	−0.165515	−	0.305333i
$786$	−0.927091	−	1.06992i	−0.0330682	−	0.0381628i
$787$	20.7750	+	32.3266i	0.740550	+	1.15232i	0.983258	+	0.182218i	$0.0583278\pi$
$787$	20.7750	+	32.3266i	0.740550	+	1.15232i	−0.242709	+	0.970099i	$0.578036\pi$
$788$	−14.3633	−	12.4458i	−0.511671	−	0.443365i
$789$	1.82037	−	12.6610i	0.0648069	−	0.450742i
$790$	−4.64173	−	2.55302i	−0.165145	−	0.0908325i
$791$	34.0704	+	21.8957i	1.21141	+	0.778523i
$792$	4.47509	−	0.643421i	0.159016	−	0.0228630i
$793$	65.6266	−	29.9706i	2.33047	−	1.06429i
$794$	−2.48823	−	5.44847i	−0.0883040	−	0.193359i
$795$	−1.54220	−	1.16185i	−0.0546962	−	0.0412065i
$796$	26.6553	+	17.1303i	0.944772	+	0.607168i
$797$	−7.70924	−	26.2553i	−0.273075	−	0.930009i	−0.975822	−	0.218569i	$-0.929861\pi$
$797$	−7.70924	−	26.2553i	−0.273075	−	0.930009i	0.702746	−	0.711441i	$-0.251957\pi$
$798$	−0.639757	−	0.0919832i	−0.0226472	−	0.00325617i
$799$	−12.2543	+	14.1422i	−0.433526	+	0.500316i
$800$	−9.52713	+	6.04076i	−0.336835	+	0.213573i
$801$	−8.34576	−	9.63152i	−0.294883	−	0.340313i
$802$	−1.17311	+	3.99524i	−0.0414239	+	0.141077i
$803$	13.3998	+	6.11948i	0.472868	+	0.215952i
$804$	5.68574			0.200520
$805$	−35.6178	+	0.530585i	−1.25536	+	0.0187007i
$806$	−7.01365			−0.247045
$807$	−3.75394	−	1.71437i	−0.132145	−	0.0603487i
$808$	−0.996031	+	3.39217i	−0.0350403	+	0.119336i
$809$	16.9392	+	19.5488i	0.595549	+	0.687300i	0.970873	−	0.239593i	$-0.0770141\pi$
$809$	16.9392	+	19.5488i	0.595549	+	0.687300i	−0.375324	+	0.926894i	$0.622469\pi$
$810$	−2.50802	−	0.553619i	−0.0881228	−	0.0194522i
$811$	18.6222	−	21.4911i	0.653912	−	0.754655i	−0.327858	−	0.944727i	$-0.606327\pi$
$811$	18.6222	−	21.4911i	0.653912	−	0.754655i	0.981770	+	0.190072i	$0.0608722\pi$
$812$	−39.7256	−	5.71167i	−1.39409	−	0.200440i
$813$	0.726114	+	2.47292i	0.0254659	+	0.0867290i
$814$	1.15673	+	0.743385i	0.0405433	+	0.0260556i
$815$	−17.5692	+	23.3208i	−0.615422	+	0.816892i
$816$	1.80755	+	3.95799i	0.0632771	+	0.138557i
$817$	−11.3124	+	5.16622i	−0.395772	+	0.180743i
$818$	−2.99801	+	0.431049i	−0.104823	+	0.0150713i
$819$	−50.1297	−	32.2164i	−1.75167	−	1.12573i
$820$	14.1336	−	25.6967i	0.493566	−	0.897369i
$821$	3.43766	−	23.9095i	0.119975	−	0.834446i	−0.837604	−	0.546277i	$-0.816044\pi$
$821$	3.43766	−	23.9095i	0.119975	−	0.834446i	0.957580	−	0.288169i	$-0.0930464\pi$
$822$	1.18397	+	1.02591i	0.0412956	+	0.0357829i
$823$	1.90560	+	2.96517i	0.0664251	+	0.103359i	0.872877	−	0.487940i	$-0.162252\pi$
$823$	1.90560	+	2.96517i	0.0664251	+	0.103359i	−0.806452	+	0.591299i	$0.798615\pi$
$824$	0.263414	+	0.303996i	0.00917645	+	0.0105902i
$825$	6.34642	+	1.90569i	0.220954	+	0.0663475i
$826$	2.48891	−	5.44995i	0.0866003	−	0.189628i
$827$			25.0301i			0.870383i	0.900338	+	0.435191i	$0.143319\pi$
$827$			25.0301i			0.870383i	−0.900338	+	0.435191i	$0.856681\pi$
$828$	21.6624	−	12.3385i	0.752822	−	0.428791i
$829$	−37.6396			−1.30728			−0.653639	−	0.756807i	$-0.726758\pi$
$829$	−37.6396			−1.30728			−0.653639	+	0.756807i	$0.726758\pi$
$830$	−1.09133	−	2.95349i	−0.0378805	−	0.102517i
$831$	−10.9185	−	3.20595i	−0.378757	−	0.111213i
$832$	36.4592	−	31.5921i	1.26399	−	1.09526i
$833$	4.23516	+	6.59003i	0.146740	+	0.228331i
$834$	0.0978111	−	0.112880i	0.00338692	−	0.00390872i
$835$	2.77851	−	2.06675i	0.0961544	−	0.0715228i
$836$	7.16392	−	2.10352i	0.247769	−	0.0727517i
$837$	9.72702	−	15.1355i	0.336215	−	0.523161i
$838$	6.72958	−	0.967567i	0.232469	−	0.0334240i
$839$	−2.73179	−	5.98180i	−0.0943120	−	0.206515i	0.856596	−	0.515987i	$-0.172575\pi$
$839$	−2.73179	−	5.98180i	−0.0943120	−	0.206515i	−0.950908	+	0.309473i	$0.899847\pi$
$840$	−1.18551	+	3.14905i	−0.0409040	+	0.108653i
$841$	−1.26518	−	8.79950i	−0.0436268	−	0.303431i
$842$	2.72355	−	4.23793i	0.0938598	−	0.146049i
$843$	−1.11332	−	3.79162i	−0.0383448	−	0.130590i
$844$	3.76094	−	26.1579i	0.129457	−	0.900391i
$845$	−5.02148	−	73.3593i	−0.172744	−	2.52364i
$846$	4.13850	−	2.65965i	0.142285	−	0.0914407i
$847$	−15.0769	+	13.0642i	−0.518048	+	0.448891i
$848$	−1.55005	+	5.27899i	−0.0532290	+	0.181281i
$849$	−1.47933	+	3.23927i	−0.0507703	+	0.111171i
$850$	−0.0114394	+	1.87164i	−0.000392369	+	0.0641967i
$851$	15.0136	+	2.98480i	0.514659	+	0.102318i
$852$		−	0.0594761i		−	0.00203762i
$853$	−43.8532	−	20.0271i	−1.50150	−	0.685714i	−0.516191	−	0.856474i	$-0.672650\pi$
$853$	−43.8532	−	20.0271i	−1.50150	−	0.685714i	−0.985313	+	0.170760i	$0.945378\pi$
$854$	6.54370	+	1.92140i	0.223921	+	0.0657491i
$855$	−10.0517	−	0.749795i	−0.343762	−	0.0256425i
$856$	−9.75037	+	6.26619i	−0.333261	+	0.214174i
$857$	−21.8606	−	18.9423i	−0.746745	−	0.647058i	0.195988	−	0.980606i	$-0.437209\pi$
$857$	−21.8606	−	18.9423i	−0.746745	−	0.647058i	−0.942733	+	0.333548i	$0.891754\pi$
$858$	1.71288	+	0.246274i	0.0584766	+	0.00840767i
$859$	16.8106	−	4.93604i	0.573571	−	0.168416i	0.0179317	−	0.999839i	$-0.494292\pi$
$859$	16.8106	−	4.93604i	0.573571	−	0.168416i	0.555639	+	0.831424i	$0.312474\pi$
$860$	6.72075	+	31.3558i	0.229176	+	1.06922i
$861$	−1.87321	−	13.0285i	−0.0638388	−	0.444008i
$862$	0.165547	−	0.0756029i	0.00563856	−	0.00257504i
$863$	−28.6828	+	13.0990i	−0.976373	+	0.445894i	−0.838706	−	0.544584i	$-0.816687\pi$
$863$	−28.6828	+	13.0990i	−0.976373	+	0.445894i	−0.137667	+	0.990479i	$0.543960\pi$
$864$	−1.07550	−	7.48028i	−0.0365893	−	0.254484i
$865$	9.00414	+	42.0090i	0.306150	+	1.42835i
$866$	6.94502	−	2.03924i	0.236001	−	0.0692962i
$867$	−7.76524	−	1.11647i	−0.263721	−	0.0379174i
$868$	26.4673	+	22.9341i	0.898359	+	0.778433i
$869$	23.1055	−	14.8490i	0.783801	−	0.503719i
$870$	−1.56908	−	0.117044i	−0.0531968	−	0.00396815i
$871$	−31.7471	−	9.32178i	−1.07571	−	0.315856i
$872$	−9.95903	−	4.54814i	−0.337255	−	0.154019i
$873$			7.76020i			0.262643i
$874$	−1.24258	+	0.965465i	−0.0420308	+	0.0326573i
$875$	26.5003	−	26.0188i	0.895875	−	0.879597i
$876$	3.18739	−	6.97941i	0.107692	−	0.235812i
$877$	4.76295	−	16.2211i	0.160833	−	0.547748i	−0.839159	−	0.543886i	$-0.816952\pi$
$877$	4.76295	−	16.2211i	0.160833	−	0.547748i	0.999993	−	0.00386222i	$-0.00122939\pi$
$878$	4.56373	−	3.95449i	0.154018	−	0.133458i
$879$	7.98259	−	5.13010i	0.269246	−	0.173034i
$880$	−1.28941	−	18.8372i	−0.0434661	−	0.635001i
$881$	−8.33373	+	57.9624i	−0.280771	+	1.95280i	0.0220564	+	0.999757i	$0.492979\pi$
$881$	−8.33373	+	57.9624i	−0.280771	+	1.95280i	−0.302827	+	0.953046i	$0.597930\pi$
$882$	−0.580195	−	1.97596i	−0.0195362	−	0.0665341i
$883$	−12.2453	+	19.0541i	−0.412088	+	0.641221i	−0.983808	−	0.179228i	$-0.942640\pi$
$883$	−12.2453	+	19.0541i	−0.412088	+	0.641221i	0.571720	+	0.820449i	$0.306276\pi$
$884$	−3.67446	−	25.5565i	−0.123586	−	0.859556i
$885$	−4.37148	+	11.6119i	−0.146946	+	0.390330i
$886$	−1.21074	−	2.65116i	−0.0406758	−	0.0890675i
$887$	43.4945	−	6.25357i	1.46040	−	0.209974i	0.634122	−	0.773233i	$-0.281362\pi$
$887$	43.4945	−	6.25357i	1.46040	−	0.209974i	0.826281	+	0.563258i	$0.190452\pi$
$888$	0.781729	−	1.21639i	0.0262331	−	0.0408195i
$889$	12.4189	−	3.64652i	0.416516	−	0.122300i
$890$	1.66432	−	1.23798i	0.0557882	−	0.0414971i
$891$	8.72023	−	10.0637i	0.292139	−	0.337146i
$892$	−12.6789	−	19.7288i	−0.424522	−	0.660569i
$893$	12.3959	−	10.7411i	0.414814	−	0.359439i
$894$	0.0237625	+	0.00697729i	0.000794736	+	0.000233355i
$895$	−12.6691	−	34.2868i	−0.423481	−	1.14608i
$896$	19.5491			0.653091
$897$	18.7480	−	4.43229i	0.625979	−	0.147990i
$898$			5.62121i			0.187582i
$899$	−13.7349	+	30.0752i	−0.458084	+	1.00306i
$900$	−7.47485	+	24.8932i	−0.249162	+	0.829772i
$901$	1.85172	+	2.13700i	0.0616896	+	0.0711936i
$902$	−1.55624	−	2.42155i	−0.0518170	−	0.0806288i
$903$	10.8772	+	9.42513i	0.361970	+	0.313649i
$904$	1.32548	−	9.21894i	0.0440849	−	0.306617i
$905$	−8.39227	+	15.2583i	−0.278969	+	0.507202i
$906$	0.566861	+	0.364300i	0.0188327	+	0.0121030i
$907$	−11.1067	+	1.59690i	−0.368792	+	0.0530243i	−0.324220	−	0.945982i	$-0.605102\pi$
$907$	−11.1067	+	1.59690i	−0.368792	+	0.0530243i	−0.0445726	+	0.999006i	$0.514193\pi$
$908$	16.0104	−	7.31171i	0.531324	−	0.242648i
$909$	5.09155	+	11.1489i	0.168876	+	0.369787i
$910$	5.83593	−	7.74643i	0.193459	−	0.256792i
$911$	−33.4328	−	21.4860i	−1.10768	−	0.711862i	−0.146892	−	0.989153i	$-0.546927\pi$
$911$	−33.4328	−	21.4860i	−1.10768	−	0.711862i	−0.960786	+	0.277291i	$0.910563\pi$
$912$	−1.07450	−	3.65942i	−0.0355804	−	0.121176i
$913$	16.1585	+	2.32324i	0.534768	+	0.0768880i
$914$	−0.395529	+	0.456465i	−0.0130829	+	0.0150985i
$915$	−13.7914	−	3.04430i	−0.455929	−	0.100641i
$916$	3.92191	+	4.52613i	0.129584	+	0.149547i
$917$	11.5897	−	39.4710i	0.382726	−	1.30345i
$918$	−1.14056	−	0.520874i	−0.0376439	−	0.0171914i
$919$	11.3416			0.374126			0.187063	−	0.982348i	$-0.440103\pi$
$919$	11.3416			0.374126			0.187063	+	0.982348i	$0.440103\pi$
$920$	3.51368	+	7.40016i	0.115843	+	0.243976i
$921$	2.22677			0.0733744
$922$	6.25478	+	2.85646i	0.205990	+	0.0940726i
$923$	−0.0975112	+	0.332093i	−0.00320962	+	0.0109310i
$924$	−5.65855	−	6.53032i	−0.186153	−	0.214832i
$925$	−13.4781	+	8.54590i	−0.443157	+	0.280988i
$926$	−3.64914	+	4.21134i	−0.119918	+	0.138393i
$927$	1.38032	+	0.198459i	0.0453355	+	0.00651826i
$928$	3.91264	+	13.3252i	0.128439	+	0.437422i
$929$	−18.1945	−	11.6929i	−0.596943	−	0.383632i	0.206998	−	0.978341i	$-0.433631\pi$
$929$	−18.1945	−	11.6929i	−0.596943	−	0.383632i	−0.803941	+	0.594709i	$0.797267\pi$
$930$	1.09662	+	0.826160i	0.0359596	+	0.0270909i
$931$	−2.85236	−	6.24580i	−0.0934824	−	0.204698i
$932$	24.9193	−	11.3802i	0.816257	−	0.372772i
$933$	6.09585	−	0.876451i	0.199569	−	0.0286937i
$934$	−6.45684	−	4.14956i	−0.211274	−	0.135778i
$935$	−8.50268	−	4.67660i	−0.278067	−	0.152941i
$936$	−1.95026	+	13.5643i	−0.0637461	+	0.443364i
$937$	33.4645	+	28.9971i	1.09324	+	0.947294i	0.998836	−	0.0482400i	$-0.0153612\pi$
$937$	33.4645	+	28.9971i	1.09324	+	0.947294i	0.0944002	+	0.995534i	$0.469907\pi$
$938$	−1.69098	−	2.63122i	−0.0552124	−	0.0859122i
$939$	4.43075	+	5.11336i	0.144592	+	0.166868i
$940$	−20.1560	−	37.1826i	−0.657416	−	1.21276i
$941$	−5.38047	+	11.7816i	−0.175398	+	0.384069i	−0.976830	−	0.214018i	$-0.931345\pi$
$941$	−5.38047	+	11.7816i	−0.175398	+	0.384069i	0.801431	+	0.598087i	$0.204072\pi$
$942$			0.497473i			0.0162085i
$943$	−25.9941	−	18.7404i	−0.846485	−	0.610271i
$944$	35.3541			1.15068
$945$	8.62321	+	23.3373i	0.280513	+	0.759162i
$946$	3.02003	+	0.886760i	0.0981895	+	0.0288310i
$947$	−24.2066	+	20.9751i	−0.786607	+	0.681599i	−0.952498	−	0.304545i	$-0.901496\pi$
$947$	−24.2066	+	20.9751i	−0.786607	+	0.681599i	0.165891	+	0.986144i	$0.446950\pi$
$948$	−7.73426	−	12.0347i	−0.251197	−	0.390870i
$949$	−29.2400	+	33.7447i	−0.949170	+	1.09540i
$950$	0.243396	−	1.62240i	0.00789682	−	0.0526377i
$951$	−9.13947	+	2.68359i	−0.296368	+	0.0870214i
$952$	2.66405	−	4.14534i	0.0863422	−	0.134351i
$953$	27.7779	−	3.99387i	0.899816	−	0.129374i	0.323144	−	0.946350i	$-0.395260\pi$
$953$	27.7779	−	3.99387i	0.899816	−	0.129374i	0.576672	+	0.816976i	$0.304351\pi$
$954$	−0.308805	−	0.676188i	−0.00999792	−	0.0218924i
$955$	−14.4728	−	5.44852i	−0.468329	−	0.176310i
$956$	−0.250225	−	1.74036i	−0.00809287	−	0.0562871i
$957$	4.41039	−	6.86269i	0.142568	−	0.221839i
$958$	−1.78700	−	6.08597i	−0.0577354	−	0.196629i
$959$	−6.47851	+	45.0590i	−0.209202	+	1.45503i
$960$	−9.42191	+	0.644934i	−0.304091	+	0.0208152i
$961$	−1.80781	+	1.16181i	−0.0583165	+	0.0374777i
$962$	−3.14977	+	2.72929i	−0.101553	+	0.0879959i
$963$	−11.3204	+	38.5539i	−0.364796	+	1.24238i
$964$	0.531607	−	1.16406i	0.0171219	−	0.0374917i
$965$	−9.15756	−	9.21370i	−0.294792	−	0.296600i
$966$	1.61375	+	0.843927i	0.0519215	+	0.0271529i
$967$			43.7547i			1.40706i	0.710667	+	0.703528i	$0.248393\pi$
$967$			43.7547i			1.40706i	−0.710667	+	0.703528i	$0.751607\pi$
$968$	4.17323	+	1.90585i	0.134133	+	0.0612564i
$969$	−1.88074	−	0.552236i	−0.0604182	−	0.0177404i
$970$	−1.25955	−	0.0939543i	−0.0404416	−	0.00301669i
$971$	43.0776	−	27.6843i	1.38243	−	0.888432i	0.383051	−	0.923727i	$-0.374873\pi$
$971$	43.0776	−	27.6843i	1.38243	−	0.888432i	0.999377	+	0.0352951i	$0.0112371\pi$
$972$	−20.1482	−	17.4585i	−0.646255	−	0.559983i
$973$	4.29595	+	0.617664i	0.137722	+	0.0198014i
$974$	3.26446	−	0.958533i	0.104600	−	0.0307134i
$975$	−10.9618	+	16.8299i	−0.351060	+	0.538988i
$976$	5.72722	+	39.8337i	0.183324	+	1.27505i
$977$	−47.8740	+	21.8633i	−1.53163	+	0.699470i	−0.989989	−	0.141143i	$-0.954922\pi$
$977$	−47.8740	+	21.8633i	−1.53163	+	0.699470i	−0.541636	+	0.840613i	$0.682195\pi$
$978$	1.35781	−	0.620093i	0.0434181	−	0.0198284i
$979$	1.53049	+	10.6448i	0.0489147	+	0.340209i
$980$	−17.3121	+	3.71064i	−0.553015	+	0.118532i
$981$	−36.4188	+	10.6935i	−1.16276	+	0.341418i
$982$	3.69446	+	0.531183i	0.117895	+	0.0169507i
$983$	39.9661	+	34.6308i	1.27472	+	1.10455i	0.989261	+	0.146160i	$0.0466914\pi$
$983$	39.9661	+	34.6308i	1.27472	+	1.10455i	0.285459	+	0.958391i	$0.407854\pi$
$984$	−2.54646	+	1.63651i	−0.0811780	+	0.0521700i
$985$	1.61054	−	21.5909i	0.0513162	−	0.687943i
$986$	2.21088	+	0.649172i	0.0704086	+	0.0206738i
$987$	−17.2669	−	7.88553i	−0.549612	−	0.250999i
$988$			22.6311i			0.719991i
$989$	34.9003	−	3.12672i	1.10977	−	0.0994238i
$990$	1.79836	+	1.80939i	0.0571557	+	0.0575061i
$991$	−0.597968	+	1.30937i	−0.0189951	+	0.0415934i	−0.918892	−	0.394510i	$-0.870914\pi$
$991$	−0.597968	+	1.30937i	−0.0189951	+	0.0415934i	0.899897	+	0.436103i	$0.143642\pi$
$992$	3.41420	−	11.6277i	0.108401	−	0.369180i
$993$	2.58376	−	2.23884i	0.0819931	−	0.0710475i
$994$	−0.0275240	+	0.0176886i	−0.000873010	+	0.000561049i
$995$	2.46501	+	36.0115i	0.0781460	+	1.14164i
$996$	1.21008	−	8.41631i	0.0383429	−	0.266681i
$997$	12.5519	+	42.7479i	0.397523	+	1.35384i	0.878767	+	0.477252i	$0.158367\pi$
$997$	12.5519	+	42.7479i	0.397523	+	1.35384i	−0.481244	+	0.876587i	$0.659815\pi$
$998$	−3.00222	+	4.67155i	−0.0950337	+	0.147875i
$999$	−1.52152	−	10.5824i	−0.0481388	−	0.334813i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	115.2.j.a.29.5	yes	100
5.2	odd	4		575.2.k.g.351.6		100
5.3	odd	4		575.2.k.g.351.5		100
5.4	even	2	inner	115.2.j.a.29.6	yes	100
23.4	even	11	inner	115.2.j.a.4.6	yes	100
115.4	even	22	inner	115.2.j.a.4.5	✓	100
115.27	odd	44		575.2.k.g.326.6		100
115.73	odd	44		575.2.k.g.326.5		100

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
115.2.j.a.4.5	✓	100	115.4	even	22	inner
115.2.j.a.4.6	yes	100	23.4	even	11	inner
115.2.j.a.29.5	yes	100	1.1	even	1	trivial
115.2.j.a.29.6	yes	100	5.4	even	2	inner
575.2.k.g.326.5		100	115.73	odd	44
575.2.k.g.326.6		100	115.27	odd	44
575.2.k.g.351.5		100	5.3	odd	4
575.2.k.g.351.6		100	5.2	odd	4

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:	\( N \)	\(=\)	\( 115 = 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	115.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.175347 - 0.0800783i) q^{2} +(0.167074 - 0.569000i) q^{3} +(-1.28539 - 1.48342i) q^{4} +(0.481985 - 2.18350i) q^{5} +(-0.0748604 + 0.0863935i) q^{6} +(-3.28793 - 0.472733i) q^{7} +(0.215217 + 0.732961i) q^{8} +(2.22791 + 1.43179i) q^{9} +O(q^{10})\)	\(q+(-0.175347 - 0.0800783i) q^{2} +(0.167074 - 0.569000i) q^{3} +(-1.28539 - 1.48342i) q^{4} +(0.481985 - 2.18350i) q^{5} +(-0.0748604 + 0.0863935i) q^{6} +(-3.28793 - 0.472733i) q^{7} +(0.215217 + 0.732961i) q^{8} +(2.22791 + 1.43179i) q^{9} +(-0.259366 + 0.344274i) q^{10} +(-0.928361 - 2.03283i) q^{11} +(-1.05882 + 0.483546i) q^{12} +(6.70483 - 0.964009i) q^{13} +(0.538673 + 0.346184i) q^{14} +(-1.16189 - 0.639056i) q^{15} +(-0.537726 + 3.73997i) q^{16} +(1.46759 + 1.27168i) q^{17} +(-0.276002 - 0.429468i) q^{18} +(-1.11465 - 1.28637i) q^{19} +(-3.85858 + 2.09166i) q^{20} +(-0.818312 + 1.79185i) q^{21} +0.430792i q^{22} +(1.75636 + 4.46264i) q^{23} +0.453012 q^{24} +(-4.53538 - 2.10483i) q^{25} +(-1.25287 - 0.367875i) q^{26} +(2.53144 - 2.19351i) q^{27} +(3.52501 + 5.48502i) q^{28} +(-4.03098 + 4.65200i) q^{29} +(0.152559 + 0.205098i) q^{30} +(5.15374 - 1.51327i) q^{31} +(1.21977 - 1.89801i) q^{32} +(-1.31178 + 0.188606i) q^{33} +(-0.155504 - 0.340507i) q^{34} +(-2.61695 + 6.95136i) q^{35} +(-0.739787 - 5.14533i) q^{36} +(1.72562 - 2.68512i) q^{37} +(0.0924398 + 0.314821i) q^{38} +(0.571678 - 3.97611i) q^{39} +(1.70416 - 0.116650i) q^{40} +(-5.62116 + 3.61250i) q^{41} +(0.286977 - 0.248667i) q^{42} +(2.05844 - 7.01041i) q^{43} +(-1.82223 + 3.99012i) q^{44} +(4.20015 - 4.17455i) q^{45} +(0.0493883 - 0.923158i) q^{46} +9.63634i q^{47} +(2.03820 + 0.930816i) q^{48} +(3.87057 + 1.13650i) q^{49} +(0.626714 + 0.732262i) q^{50} +(0.968780 - 0.622597i) q^{51} +(-10.0483 - 8.70693i) q^{52} +(1.44130 + 0.207228i) q^{53} +(-0.619533 + 0.181911i) q^{54} +(-4.88614 + 1.04729i) q^{55} +(-0.361123 - 2.51167i) q^{56} +(-0.918175 + 0.419317i) q^{57} +(1.07935 - 0.492921i) q^{58} +(-1.33162 - 9.26159i) q^{59} +(0.545490 + 2.54500i) q^{60} +(10.2194 - 3.00068i) q^{61} +(-1.02487 - 0.147355i) q^{62} +(-6.64837 - 5.76085i) q^{63} +(5.99136 - 3.85041i) q^{64} +(1.12671 - 15.1047i) q^{65} +(0.245121 + 0.0719739i) q^{66} +(-4.44321 - 2.02915i) q^{67} -3.81165i q^{68} +(2.83269 - 0.253780i) q^{69} +(1.01553 - 1.00934i) q^{70} +(-0.0212260 + 0.0464785i) q^{71} +(-0.569964 + 1.94112i) q^{72} +(-4.98167 + 4.31664i) q^{73} +(-0.517603 + 0.332643i) q^{74} +(-1.95539 + 2.22897i) q^{75} +(-0.475472 + 3.30698i) q^{76} +(2.09140 + 7.12267i) q^{77} +(-0.418642 + 0.651420i) q^{78} +(1.74906 + 12.1650i) q^{79} +(7.90706 + 2.97674i) q^{80} +(2.47529 + 5.42013i) q^{81} +(1.27494 - 0.183308i) q^{82} +(-3.94928 + 6.14520i) q^{83} +(3.70991 - 1.08933i) q^{84} +(3.48407 - 2.59157i) q^{85} +(-0.922323 + 1.06442i) q^{86} +(1.97352 + 3.07086i) q^{87} +(1.29018 - 1.11795i) q^{88} +(-4.61729 - 1.35576i) q^{89} +(-1.07077 + 0.395655i) q^{90} -22.5007 q^{91} +(4.36235 - 8.34164i) q^{92} -3.18531i q^{93} +(0.771662 - 1.68970i) q^{94} +(-3.34605 + 1.81383i) q^{95} +(-0.876174 - 1.01116i) q^{96} +(1.58420 + 2.46507i) q^{97} +(-0.587684 - 0.509231i) q^{98} +(0.842280 - 5.85818i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9}+O(q^{10}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9	\( 100 q - 14 q^{4} - 9 q^{5} - 18 q^{6} - 12 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 10 q^{15} - 18 q^{16} - 14 q^{19} + 49 q^{20} - 22 q^{21} - 68 q^{24} + 21 q^{25} - 42 q^{26} - 24 q^{29} + 19 q^{30} - 12 q^{31} + 8 q^{34} - 37 q^{35} - 10 q^{36} + 14 q^{39} - q^{40} + 8 q^{41} + 166 q^{44} - 42 q^{45} - 18 q^{46} + 32 q^{49} - 23 q^{50} - 22 q^{51} + 116 q^{54} + 27 q^{55} - 116 q^{56} + 50 q^{59} + 123 q^{60} - 38 q^{61} + 10 q^{64} + 76 q^{65} - 28 q^{66} + 80 q^{69} + 102 q^{70} - 110 q^{71} + 22 q^{74} + 6 q^{75} + 4 q^{76} + 42 q^{79} + 18 q^{80} + 204 q^{81} + 56 q^{84} - 121 q^{85} + 132 q^{86} - 66 q^{89} - 198 q^{90} + 76 q^{91} - 70 q^{94} - 74 q^{95} + 236 q^{96} - 60 q^{99}+O(q^{100}) \) 100 * q - 14 * q^4 - 9 * q^5 - 18 * q^6 - 12 * q^9 - 13 * q^10 - 26 * q^11 - 26 * q^14 - 10 * q^15 - 18 * q^16 - 14 * q^19 + 49 * q^20 - 22 * q^21 - 68 * q^24 + 21 * q^25 - 42 * q^26 - 24 * q^29 + 19 * q^30 - 12 * q^31 + 8 * q^34 - 37 * q^35 - 10 * q^36 + 14 * q^39 - q^40 + 8 * q^41 + 166 * q^44 - 42 * q^45 - 18 * q^46 + 32 * q^49 - 23 * q^50 - 22 * q^51 + 116 * q^54 + 27 * q^55 - 116 * q^56 + 50 * q^59 + 123 * q^60 - 38 * q^61 + 10 * q^64 + 76 * q^65 - 28 * q^66 + 80 * q^69 + 102 * q^70 - 110 * q^71 + 22 * q^74 + 6 * q^75 + 4 * q^76 + 42 * q^79 + 18 * q^80 + 204 * q^81 + 56 * q^84 - 121 * q^85 + 132 * q^86 - 66 * q^89 - 198 * q^90 + 76 * q^91 - 70 * q^94 - 74 * q^95 + 236 * q^96 - 60 * q^99

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