LMFDB - Embedded newform 370.2.v.a.289.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(99,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 5]))

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

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

chi := DirichletCharacter("370.99");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.v (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$10$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			289.4
Character	$\chi$	$=$	370.289
Dual form			370.2.v.a.169.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 + 0.342020i) q^{2} +(-0.489052 + 1.34366i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0464674 - 2.23559i) q^{5} -1.42989i q^{6} +(-1.53126 + 0.270002i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.731885 + 0.614125i) q^{9} +O(q^{10})$	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.489052 + 1.34366i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0464674 - 2.23559i) q^{5} -1.42989i q^{6} +(-1.53126 + 0.270002i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.731885 + 0.614125i) q^{9} +(0.808280 + 2.08487i) q^{10} +(-1.42259 + 2.46400i) q^{11} +(0.489052 + 1.34366i) q^{12} +(-2.83863 + 2.38189i) q^{13} +(1.34657 - 0.777441i) q^{14} +(3.02659 + 1.03088i) q^{15} +(0.173648 - 0.984808i) q^{16} +(5.50465 + 4.61895i) q^{17} +(-0.897790 - 0.326769i) q^{18} +(-0.620005 + 1.70345i) q^{19} +(-1.47260 - 1.68269i) q^{20} +(0.386074 - 2.18954i) q^{21} +(0.494061 - 2.80196i) q^{22} +(1.61600 + 2.79900i) q^{23} +(-0.919117 - 1.09536i) q^{24} +(-4.99568 + 0.207763i) q^{25} +(1.85278 - 3.20911i) q^{26} +(-4.89807 + 2.82790i) q^{27} +(-0.999459 + 1.19111i) q^{28} +(-7.33057 - 4.23230i) q^{29} +(-3.19665 + 0.0664433i) q^{30} +8.60827i q^{31} +(0.173648 + 0.984808i) q^{32} +(-2.61506 - 3.11650i) q^{33} +(-6.75246 - 2.45769i) q^{34} +(0.674767 + 3.41072i) q^{35} +0.955408 q^{36} +(5.84845 - 1.67201i) q^{37} -1.81277i q^{38} +(-1.81221 - 4.97901i) q^{39} +(1.95931 + 1.07755i) q^{40} +(3.11159 - 2.61093i) q^{41} +(0.386074 + 2.18954i) q^{42} -12.1533 q^{43} +(0.494061 + 2.80196i) q^{44} +(1.33892 - 1.66473i) q^{45} +(-2.47586 - 2.07749i) q^{46} +(1.72546 - 0.996195i) q^{47} +(1.23832 + 0.714946i) q^{48} +(-4.30599 + 1.56725i) q^{49} +(4.62335 - 1.90386i) q^{50} +(-8.89836 + 5.13747i) q^{51} +(-0.643464 + 3.64927i) q^{52} +(9.80891 + 1.72958i) q^{53} +(3.63548 - 4.33260i) q^{54} +(5.57459 + 3.06583i) q^{55} +(0.531801 - 1.46111i) q^{56} +(-1.98564 - 1.66615i) q^{57} +(8.33601 + 1.46986i) q^{58} +(4.36537 + 0.769733i) q^{59} +(2.98114 - 1.15575i) q^{60} +(2.54039 + 3.02752i) q^{61} +(-2.94420 - 8.08913i) q^{62} +(-1.28652 - 0.742773i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.45682 + 6.23531i) q^{65} +(3.52325 + 2.03415i) q^{66} +(-2.50556 + 0.441798i) q^{67} +7.18581 q^{68} +(-4.55121 + 0.802502i) q^{69} +(-1.80061 - 2.97424i) q^{70} +(10.6723 + 3.88442i) q^{71} +(-0.897790 + 0.326769i) q^{72} -8.43957i q^{73} +(-4.92389 + 3.57146i) q^{74} +(2.16398 - 6.81410i) q^{75} +(0.620005 + 1.70345i) q^{76} +(1.51307 - 4.15713i) q^{77} +(3.40585 + 4.05893i) q^{78} +(-1.88000 + 0.331495i) q^{79} +(-2.20969 - 0.342444i) q^{80} +(-0.906612 - 5.14165i) q^{81} +(-2.03095 + 3.51770i) q^{82} +(5.66798 - 6.75483i) q^{83} +(-1.11166 - 1.92545i) q^{84} +(10.0703 - 12.5207i) q^{85} +(11.4203 - 4.15666i) q^{86} +(9.27180 - 7.77997i) q^{87} +(-1.42259 - 2.46400i) q^{88} +(-5.96604 - 1.05197i) q^{89} +(-0.688802 + 2.02227i) q^{90} +(3.70356 - 4.41373i) q^{91} +(3.03709 + 1.10541i) q^{92} +(-11.5666 - 4.20989i) q^{93} +(-1.28068 + 1.52626i) q^{94} +(3.83702 + 1.30692i) q^{95} +(-1.40817 - 0.248298i) q^{96} +(2.61488 + 4.52911i) q^{97} +(3.51028 - 2.94547i) q^{98} +(-2.55438 + 0.929717i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	$ 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) $ 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$-1$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$3$	−0.489052	+	1.34366i	−0.282354	+	0.775762i	0.714726	+	0.699404i	$0.246551\pi$
$3$	−0.489052	+	1.34366i	−0.282354	+	0.775762i	−0.997080	+	0.0763576i	$0.975671\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	−0.0464674	−	2.23559i	−0.0207808	−	0.999784i
$5$	−0.0464674	−	2.23559i	−0.0207808	−	0.999784i
$6$		−	1.42989i		−	0.583751i
$7$	−1.53126	+	0.270002i	−0.578762	+	0.102051i	−0.455363	−	0.890306i	$-0.650491\pi$
$7$	−1.53126	+	0.270002i	−0.578762	+	0.102051i	−0.123399	+	0.992357i	$0.539379\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	0.731885	+	0.614125i	0.243962	+	0.204708i
$10$	0.808280	+	2.08487i	0.255601	+	0.659294i
$11$	−1.42259	+	2.46400i	−0.428927	+	0.742924i	−0.996778	−	0.0802075i	$-0.974442\pi$
$11$	−1.42259	+	2.46400i	−0.428927	+	0.742924i	0.567851	+	0.823131i	$0.307775\pi$
$12$	0.489052	+	1.34366i	0.141177	+	0.387881i
$13$	−2.83863	+	2.38189i	−0.787293	+	0.660618i	−0.945074	−	0.326857i	$-0.894011\pi$
$13$	−2.83863	+	2.38189i	−0.787293	+	0.660618i	0.157781	+	0.987474i	$0.449566\pi$
$14$	1.34657	−	0.777441i	0.359885	−	0.207780i
$15$	3.02659	+	1.03088i	0.781462	+	0.266172i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	5.50465	+	4.61895i	1.33507	+	1.12026i	0.982863	+	0.184340i	$0.0590148\pi$
$17$	5.50465	+	4.61895i	1.33507	+	1.12026i	0.352212	+	0.935920i	$0.385430\pi$
$18$	−0.897790	−	0.326769i	−0.211611	−	0.0770202i
$19$	−0.620005	+	1.70345i	−0.142239	+	0.390798i	−0.990272	−	0.139145i	$-0.955565\pi$
$19$	−0.620005	+	1.70345i	−0.142239	+	0.390798i	0.848033	+	0.529943i	$0.177787\pi$
$20$	−1.47260	−	1.68269i	−0.329284	−	0.376261i
$21$	0.386074	−	2.18954i	0.0842483	−	0.477796i
$22$	0.494061	−	2.80196i	0.105334	−	0.597379i
$23$	1.61600	+	2.79900i	0.336960	+	0.583632i	0.983859	−	0.178944i	$-0.0572679\pi$
$23$	1.61600	+	2.79900i	0.336960	+	0.583632i	−0.646899	+	0.762575i	$0.723935\pi$
$24$	−0.919117	−	1.09536i	−0.187614	−	0.223590i
$25$	−4.99568	+	0.207763i	−0.999136	+	0.0415527i
$26$	1.85278	−	3.20911i	0.363360	−	0.629359i
$27$	−4.89807	+	2.82790i	−0.942635	+	0.544230i
$28$	−0.999459	+	1.19111i	−0.188880	+	0.225098i
$29$	−7.33057	−	4.23230i	−1.36125	−	0.785919i	−0.371462	−	0.928448i	$-0.621143\pi$
$29$	−7.33057	−	4.23230i	−1.36125	−	0.785919i	−0.989791	+	0.142529i	$0.954477\pi$
$30$	−3.19665	+	0.0664433i	−0.583625	+	0.0121308i
$31$			8.60827i			1.54609i	0.634351	+	0.773045i	$0.281268\pi$
$31$			8.60827i			1.54609i	−0.634351	+	0.773045i	$0.718732\pi$
$32$	0.173648	+	0.984808i	0.0306970	+	0.174091i
$33$	−2.61506	−	3.11650i	−0.455223	−	0.542513i
$34$	−6.75246	−	2.45769i	−1.15804	−	0.421491i
$35$	0.674767	+	3.41072i	0.114056	+	0.576516i
$36$	0.955408			0.159235
$37$	5.84845	−	1.67201i	0.961479	−	0.274877i
$37$	5.84845	−	1.67201i	0.961479	−	0.274877i
$38$		−	1.81277i		−	0.294071i
$39$	−1.81221	−	4.97901i	−0.290186	−	0.797280i
$40$	1.95931	+	1.07755i	0.309794	+	0.170376i
$41$	3.11159	−	2.61093i	0.485949	−	0.407759i	−0.366623	−	0.930370i	$-0.619486\pi$
$41$	3.11159	−	2.61093i	0.485949	−	0.407759i	0.852572	+	0.522610i	$0.175042\pi$
$42$	0.386074	+	2.18954i	0.0595726	+	0.337853i
$43$	−12.1533			−1.85335			−0.926677	−	0.375859i	$-0.877348\pi$
$43$	−12.1533			−1.85335			−0.926677	+	0.375859i	$0.877348\pi$
$44$	0.494061	+	2.80196i	0.0744825	+	0.422411i
$45$	1.33892	−	1.66473i	0.199594	−	0.248163i
$46$	−2.47586	−	2.07749i	−0.365046	−	0.306310i
$47$	1.72546	−	0.996195i	0.251684	−	0.145310i	−0.368851	−	0.929489i	$-0.620249\pi$
$47$	1.72546	−	0.996195i	0.251684	−	0.145310i	0.620535	+	0.784179i	$0.286915\pi$
$48$	1.23832	+	0.714946i	0.178737	+	0.103194i
$49$	−4.30599	+	1.56725i	−0.615142	+	0.223893i
$50$	4.62335	−	1.90386i	0.653840	−	0.269246i
$51$	−8.89836	+	5.13747i	−1.24602	+	0.719390i
$52$	−0.643464	+	3.64927i	−0.0892325	+	0.506062i
$53$	9.80891	+	1.72958i	1.34736	+	0.237575i	0.800340	−	0.599546i	$-0.204652\pi$
$53$	9.80891	+	1.72958i	1.34736	+	0.237575i	0.547017	+	0.837121i	$0.315763\pi$
$54$	3.63548	−	4.33260i	0.494727	−	0.589592i
$55$	5.57459	+	3.06583i	0.751677	+	0.413396i
$56$	0.531801	−	1.46111i	0.0710649	−	0.195249i
$57$	−1.98564	−	1.66615i	−0.263005	−	0.220687i
$58$	8.33601	+	1.46986i	1.09457	+	0.193003i
$59$	4.36537	+	0.769733i	0.568323	+	0.100211i	0.450424	−	0.892815i	$-0.351273\pi$
$59$	4.36537	+	0.769733i	0.568323	+	0.100211i	0.117899	+	0.993026i	$0.462384\pi$
$60$	2.98114	−	1.15575i	0.384863	−	0.149207i
$61$	2.54039	+	3.02752i	0.325263	+	0.387634i	0.903752	−	0.428057i	$-0.140802\pi$
$61$	2.54039	+	3.02752i	0.325263	+	0.387634i	−0.578488	+	0.815691i	$0.696357\pi$
$62$	−2.94420	−	8.08913i	−0.373914	−	1.02732i
$63$	−1.28652	−	0.742773i	−0.162086	−	0.0935807i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	5.45682	+	6.23531i	0.676836	+	0.773395i
$66$	3.52325	+	2.03415i	0.433683	+	0.250387i
$67$	−2.50556	+	0.441798i	−0.306103	+	0.0539742i	−0.324590	−	0.945855i	$-0.605226\pi$
$67$	−2.50556	+	0.441798i	−0.306103	+	0.0539742i	0.0184869	+	0.999829i	$0.494115\pi$
$68$	7.18581			0.871408
$69$	−4.55121	+	0.802502i	−0.547902	+	0.0966098i
$70$	−1.80061	−	2.97424i	−0.215214	−	0.355490i
$71$	10.6723	+	3.88442i	1.26657	+	0.460996i	0.885970	−	0.463742i	$-0.153494\pi$
$71$	10.6723	+	3.88442i	1.26657	+	0.460996i	0.380605	+	0.924738i	$0.375716\pi$
$72$	−0.897790	+	0.326769i	−0.105806	+	0.0385101i
$73$		−	8.43957i		−	0.987777i	−0.869525	−	0.493889i	$-0.835575\pi$
$73$		−	8.43957i		−	0.987777i	0.869525	−	0.493889i	$-0.164425\pi$
$74$	−4.92389	+	3.57146i	−0.572390	+	0.415174i
$75$	2.16398	−	6.81410i	0.249875	−	0.786825i
$76$	0.620005	+	1.70345i	0.0711195	+	0.195399i
$77$	1.51307	−	4.15713i	0.172430	−	0.473749i
$78$	3.40585	+	4.05893i	0.385636	+	0.459583i
$79$	−1.88000	+	0.331495i	−0.211517	+	0.0372961i	−0.278402	−	0.960465i	$-0.589805\pi$
$79$	−1.88000	+	0.331495i	−0.211517	+	0.0372961i	0.0668857	+	0.997761i	$0.478694\pi$
$80$	−2.20969	−	0.342444i	−0.247051	−	0.0382864i
$81$	−0.906612	−	5.14165i	−0.100735	−	0.571295i
$82$	−2.03095	+	3.51770i	−0.224280	+	0.388465i
$83$	5.66798	−	6.75483i	0.622141	−	0.741439i	−0.359296	−	0.933224i	$-0.616983\pi$
$83$	5.66798	−	6.75483i	0.622141	−	0.741439i	0.981437	+	0.191784i	$0.0614275\pi$
$84$	−1.11166	−	1.92545i	−0.121292	−	0.210083i
$85$	10.0703	−	12.5207i	1.09227	−	1.35807i
$86$	11.4203	−	4.15666i	1.23148	−	0.448224i
$87$	9.27180	−	7.77997i	0.994042	−	0.834100i
$88$	−1.42259	−	2.46400i	−0.151649	−	0.262663i
$89$	−5.96604	−	1.05197i	−0.632399	−	0.111509i	−0.151745	−	0.988420i	$-0.548489\pi$
$89$	−5.96604	−	1.05197i	−0.632399	−	0.111509i	−0.480653	+	0.876911i	$0.659601\pi$
$90$	−0.688802	+	2.02227i	−0.0726061	+	0.213166i
$91$	3.70356	−	4.41373i	0.388238	−	0.462685i
$92$	3.03709	+	1.10541i	0.316639	+	0.115247i
$93$	−11.5666	−	4.20989i	−1.19940	−	0.436545i
$94$	−1.28068	+	1.52626i	−0.132092	+	0.157422i
$95$	3.83702	+	1.30692i	0.393670	+	0.134087i
$96$	−1.40817	−	0.248298i	−0.143721	−	0.0253418i
$97$	2.61488	+	4.52911i	0.265501	+	0.459862i	0.967695	−	0.252124i	$-0.0811292\pi$
$97$	2.61488	+	4.52911i	0.265501	+	0.459862i	−0.702194	+	0.711986i	$0.747796\pi$
$98$	3.51028	−	2.94547i	0.354592	−	0.297538i
$99$	−2.55438	+	0.929717i	−0.256724	+	0.0934401i
$100$	−3.69337	+	3.37032i	−0.369337	+	0.337032i
$101$	−1.43968	−	2.49360i	−0.143254	−	0.248123i	0.785466	−	0.618904i	$-0.212423\pi$
$101$	−1.43968	−	2.49360i	−0.143254	−	0.248123i	−0.928720	+	0.370782i	$0.879090\pi$
$102$	6.60460	−	7.87106i	0.653953	−	0.779351i
$103$	5.05618	−	8.75755i	0.498200	−	0.862907i	−0.501798	−	0.864985i	$-0.667328\pi$
$103$	5.05618	−	8.75755i	0.498200	−	0.862907i	0.999998	+	0.00207744i	$0.000661271\pi$
$104$	−0.643464	−	3.64927i	−0.0630969	−	0.357840i
$105$	−4.91283	−	0.761360i	−0.479444	−	0.0743011i
$106$	−9.80891	+	1.72958i	−0.952725	+	0.167991i
$107$	12.6009	+	15.0171i	1.21817	+	1.45176i	0.853876	+	0.520477i	$0.174246\pi$
$107$	12.6009	+	15.0171i	1.21817	+	1.45176i	0.364296	+	0.931283i	$0.381310\pi$
$108$	−1.93440	+	5.31472i	−0.186138	+	0.511409i
$109$	−4.38292	−	12.0420i	−0.419807	−	1.15341i	−0.951815	−	0.306672i	$-0.900785\pi$
$109$	−4.38292	−	12.0420i	−0.419807	−	1.15341i	0.532008	−	0.846739i	$-0.321438\pi$
$110$	−6.28697	−	0.974315i	−0.599439	−	0.0928973i
$111$	−0.613584	+	8.67603i	−0.0582388	+	0.823492i
$112$			1.55488i			0.146923i
$113$	−8.58094	+	3.12321i	−0.807227	+	0.293807i	−0.712478	−	0.701695i	$-0.752427\pi$
$113$	−8.58094	+	3.12321i	−0.807227	+	0.293807i	−0.0947492	+	0.995501i	$0.530205\pi$
$114$	2.43575	+	0.886541i	0.228129	+	0.0830321i
$115$	6.18231	−	3.74278i	0.576504	−	0.349016i
$116$	−8.33601	+	1.46986i	−0.773979	+	0.136473i
$117$	−3.54033			−0.327303
$118$	−4.36537	+	0.769733i	−0.401865	+	0.0708596i
$119$	−9.67618	−	5.58655i	−0.887014	−	0.512118i
$120$	−2.40606	+	2.10566i	−0.219643	+	0.192220i
$121$	1.45247	+	2.51575i	0.132043	+	0.228705i
$122$	−3.42266	−	1.97607i	−0.309873	−	0.178905i
$123$	1.98648	+	5.45780i	0.179115	+	0.492113i
$124$	5.53329	+	6.59432i	0.496904	+	0.592187i
$125$	0.696609	+	11.1586i	0.0623066	+	0.998057i
$126$	1.46298	+	0.257963i	0.130332	+	0.0229811i
$127$	−8.76131	−	1.54486i	−0.777441	−	0.137084i	−0.229172	−	0.973386i	$-0.573602\pi$
$127$	−8.76131	−	1.54486i	−0.777441	−	0.137084i	−0.548269	+	0.836302i	$0.684713\pi$
$128$	0.766044	+	0.642788i	0.0677094	+	0.0568149i
$129$	5.94357	−	16.3298i	0.523302	−	1.43776i
$130$	−7.26034	−	3.99293i	−0.636774	−	0.350203i
$131$	1.94868	−	2.32235i	0.170257	−	0.202904i	−0.674168	−	0.738578i	$-0.735498\pi$
$131$	1.94868	−	2.32235i	0.170257	−	0.202904i	0.844425	+	0.535673i	$0.179942\pi$
$132$	−4.00650	−	0.706454i	−0.348721	−	0.0614889i
$133$	0.489453	−	2.77583i	0.0424410	−	0.240695i
$134$	2.20335	−	1.27211i	0.190341	−	0.109893i
$135$	6.54962	+	10.8187i	0.563702	+	0.931121i
$136$	−6.75246	+	2.45769i	−0.579018	+	0.210745i
$137$	2.19322	+	1.26625i	0.187379	+	0.108183i	0.590755	−	0.806851i	$-0.298830\pi$
$137$	2.19322	+	1.26625i	0.187379	+	0.108183i	−0.403376	+	0.915034i	$0.632163\pi$
$138$	4.00227	−	2.31071i	0.340696	−	0.196701i
$139$	−15.9598	−	13.3919i	−1.35369	−	1.13588i	−0.977875	−	0.209192i	$-0.932917\pi$
$139$	−15.9598	−	13.3919i	−1.35369	−	1.13588i	−0.375820	−	0.926693i	$-0.622639\pi$
$140$	2.70927	+	2.17903i	0.228975	+	0.184161i
$141$	0.494707	+	2.80562i	0.0416618	+	0.236276i
$142$	−11.3573			−0.953082
$143$	−1.83077	−	10.3828i	−0.153097	−	0.868256i
$144$	0.731885	−	0.614125i	0.0609904	−	0.0511770i
$145$	−9.12105	+	16.5848i	−0.757462	+	1.37729i
$146$	2.88650	+	7.93061i	0.238889	+	0.656342i
$147$		−	6.55226i		−	0.540421i
$148$	3.40543	−	5.04015i	0.279924	−	0.414297i
$149$	18.3359			1.50214			0.751069	−	0.660224i	$-0.229538\pi$
$149$	18.3359			1.50214			0.751069	+	0.660224i	$0.229538\pi$
$150$	0.297079	+	7.14329i	0.0242564	+	0.583247i
$151$	15.7172	+	5.72058i	1.27904	+	0.465534i	0.890116	−	0.455734i	$-0.150623\pi$
$151$	15.7172	+	5.72058i	1.27904	+	0.465534i	0.388928	+	0.921268i	$0.372845\pi$
$152$	−1.16523	−	1.38867i	−0.0945125	−	0.112636i
$153$	1.19216	+	6.76108i	0.0963806	+	0.546601i
$154$			4.42392i			0.356490i
$155$	19.2445	−	0.400004i	1.54576	−	0.0321291i
$156$	−4.58868	−	2.64928i	−0.367389	−	0.212112i
$157$	2.96951	−	3.53892i	0.236993	−	0.282437i	−0.634419	−	0.772989i	$-0.718761\pi$
$157$	2.96951	−	3.53892i	0.236993	−	0.282437i	0.871412	+	0.490553i	$0.163205\pi$
$158$	1.65324	−	0.954501i	0.131525	−	0.0759361i
$159$	−7.12103	+	12.3340i	−0.564734	+	0.978148i
$160$	2.19355	−	0.433967i	0.173416	−	0.0343081i
$161$	−3.23026	−	3.84967i	−0.254580	−	0.303397i
$162$	2.61049	+	4.52149i	0.205099	+	0.355242i
$163$	−2.01593	+	11.4329i	−0.157900	+	0.895496i	0.798186	+	0.602411i	$0.205793\pi$
$163$	−2.01593	+	11.4329i	−0.157900	+	0.895496i	−0.956086	+	0.293085i	$0.905318\pi$
$164$	0.705340	−	4.00018i	0.0550778	−	0.312362i
$165$	−6.84569	+	5.99099i	−0.532936	+	0.466398i
$166$	−3.01587	+	8.28603i	−0.234077	+	0.643121i
$167$	−7.10485	−	2.58595i	−0.549789	−	0.200107i	0.0521635	−	0.998639i	$-0.483388\pi$
$167$	−7.10485	−	2.58595i	−0.549789	−	0.200107i	−0.601953	+	0.798532i	$0.705611\pi$
$168$	1.70316	+	1.42912i	0.131401	+	0.110259i
$169$	0.126972	−	0.720095i	0.00976709	−	0.0553919i
$170$	−5.18061	+	15.2099i	−0.397335	+	1.16655i
$171$	−1.49990	+	0.865970i	−0.114700	+	0.0662223i
$172$	−9.30993	+	7.81196i	−0.709876	+	0.595656i
$173$	−5.75668	−	15.8164i	−0.437673	−	1.20250i	−0.941002	−	0.338401i	$-0.890114\pi$
$173$	−5.75668	−	15.8164i	−0.437673	−	1.20250i	0.503329	−	0.864095i	$-0.332108\pi$
$174$	−6.05174	+	10.4819i	−0.458781	+	0.794632i
$175$	7.59359	−	1.66699i	0.574021	−	0.126012i
$176$	2.17954	+	1.82885i	0.164289	+	0.137855i
$177$	−3.16915	+	5.48913i	−0.238208	+	0.412588i
$178$	5.96604	−	1.05197i	0.447174	−	0.0788488i
$179$			14.9502i			1.11743i	0.829358	+	0.558717i	$0.188706\pi$
$179$			14.9502i			1.11743i	−0.829358	+	0.558717i	$0.811294\pi$
$180$	−0.0443953	−	2.13590i	−0.00330903	−	0.159200i
$181$	0.267559	−	0.224508i	0.0198875	−	0.0166876i	−0.632790	−	0.774324i	$-0.718090\pi$
$181$	0.267559	−	0.224508i	0.0198875	−	0.0166876i	0.652677	+	0.757636i	$0.273646\pi$
$182$	−1.97062	+	5.41424i	−0.146072	+	0.401330i
$183$	−5.31033	+	1.93280i	−0.392551	+	0.142877i
$184$	−3.23201			−0.238267
$185$	−4.00968	−	12.9970i	−0.294798	−	0.955560i
$186$	12.3089			0.902532
$187$	−19.2120	+	6.99258i	−1.40492	+	0.511348i
$188$	0.681438	−	1.87223i	0.0496989	−	0.136547i
$189$	6.73668	−	5.65275i	0.490021	−	0.411177i
$190$	−4.05261	+	0.0842348i	−0.294007	+	0.00611103i
$191$		−	18.2632i		−	1.32148i	−0.750615	−	0.660740i	$-0.770243\pi$
$191$		−	18.2632i		−	1.32148i	0.750615	−	0.660740i	$-0.229757\pi$
$192$	1.40817	−	0.248298i	0.101626	−	0.0179194i
$193$	−10.4784	+	18.1491i	−0.754251	+	1.30640i	0.191495	+	0.981494i	$0.438666\pi$
$193$	−10.4784	+	18.1491i	−0.754251	+	1.30640i	−0.945746	+	0.324907i	$0.894667\pi$
$194$	−4.00624	−	3.36163i	−0.287631	−	0.241351i
$195$	−11.0468	+	4.28272i	−0.791078	+	0.306692i
$196$	−2.29117	+	3.96842i	−0.163655	+	0.283459i
$197$	−0.950843	−	2.61242i	−0.0677448	−	0.186127i	0.901201	−	0.433402i	$-0.142687\pi$
$197$	−0.950843	−	2.61242i	−0.0677448	−	0.186127i	−0.968945	+	0.247275i	$0.920465\pi$
$198$	2.08235	−	1.74730i	0.147986	−	0.124175i
$199$	17.2058	−	9.93379i	1.21969	−	0.704188i	0.254838	−	0.966984i	$-0.417978\pi$
$199$	17.2058	−	9.93379i	1.21969	−	0.704188i	0.964851	+	0.262796i	$0.0846447\pi$
$200$	2.31791	−	4.43027i	0.163901	−	0.313267i
$201$	0.631723	−	3.58268i	0.0445583	−	0.252703i
$202$	2.20572	+	1.85082i	0.155194	+	0.130223i
$203$	12.3677	+	4.50149i	0.868045	+	0.315942i
$204$	−3.51424	+	9.65528i	−0.246046	+	0.676005i
$205$	−5.98155	−	6.83490i	−0.417770	−	0.477370i
$206$	−1.75599	+	9.95872i	−0.122346	+	0.693857i
$207$	−0.536206	+	3.04097i	−0.0372689	+	0.211362i
$208$	1.85278	+	3.20911i	0.128467	+	0.222512i
$209$	−3.31529	−	3.95101i	−0.229323	−	0.273297i
$210$	4.87695	−	0.964844i	0.336542	−	0.0665806i
$211$	−0.245357	+	0.424971i	−0.0168911	+	0.0292562i	−0.874347	−	0.485301i	$-0.838710\pi$
$211$	−0.245357	+	0.424971i	−0.0168911	+	0.0292562i	0.857456	+	0.514557i	$0.172044\pi$
$212$	8.62581	−	4.98011i	0.592423	−	0.342036i
$213$	−10.4387	+	12.4403i	−0.715246	+	0.852397i
$214$	−16.9771	−	9.80173i	−1.16053	−	0.670033i
$215$	0.564729	+	27.1696i	0.0385142	+	1.85295i
$216$		−	5.65581i		−	0.384829i
$217$	−2.32425	−	13.1815i	−0.157781	−	0.894818i
$218$	8.23719	+	9.81670i	0.557893	+	0.664871i
$219$	11.3399	+	4.12739i	0.766280	+	0.278903i
$220$	6.24106	−	1.23471i	0.420772	−	0.0832444i
$221$	−26.6275			−1.79116
$222$	−2.39080	−	8.36265i	−0.160460	−	0.561265i
$223$			4.24532i			0.284288i	0.989846	+	0.142144i	$0.0453996\pi$
$223$			4.24532i			0.284288i	−0.989846	+	0.142144i	$0.954600\pi$
$224$	−0.531801	−	1.46111i	−0.0355324	−	0.0976246i
$225$	−3.78386	−	2.91591i	−0.252257	−	0.194394i
$226$	6.99525	−	5.86971i	0.465317	−	0.390447i
$227$	0.813626	+	4.61430i	0.0540022	+	0.306262i	0.999831	−	0.0184052i	$-0.00585888\pi$
$227$	0.813626	+	4.61430i	0.0540022	+	0.306262i	−0.945828	+	0.324667i	$0.894748\pi$
$228$	−2.59207			−0.171664
$229$	3.30354	+	18.7353i	0.218304	+	1.23807i	0.875080	+	0.483979i	$0.160809\pi$
$229$	3.30354	+	18.7353i	0.218304	+	1.23807i	−0.656775	+	0.754086i	$0.728080\pi$
$230$	−4.52937	+	5.63153i	−0.298658	+	0.371332i
$231$	4.84579	+	4.06610i	0.318830	+	0.267530i
$232$	7.33057	−	4.23230i	0.481275	−	0.277864i
$233$	−10.0655	−	5.81130i	−0.659410	−	0.380711i	0.132642	−	0.991164i	$-0.457654\pi$
$233$	−10.0655	−	5.81130i	−0.659410	−	0.380711i	−0.792052	+	0.610453i	$0.790987\pi$
$234$	3.32682	−	1.21086i	0.217481	−	0.0791566i
$235$	−2.30726	−	3.81112i	−0.150509	−	0.248610i
$236$	3.83884	−	2.21636i	0.249887	−	0.144273i
$237$	0.474002	−	2.68820i	0.0307897	−	0.174617i
$238$	11.0033	+	1.94019i	0.713241	+	0.125764i
$239$	3.74309	−	4.46084i	0.242120	−	0.288548i	−0.631276	−	0.775559i	$-0.717468\pi$
$239$	3.74309	−	4.46084i	0.242120	−	0.288548i	0.873396	+	0.487011i	$0.161913\pi$
$240$	1.54078	−	2.80160i	0.0994570	−	0.180842i
$241$	7.79025	−	21.4035i	0.501814	−	1.37872i	−0.387687	−	0.921791i	$-0.626726\pi$
$241$	7.79025	−	21.4035i	0.501814	−	1.37872i	0.889501	−	0.456933i	$-0.151052\pi$
$242$	−2.22531	−	1.86726i	−0.143048	−	0.120032i
$243$	−9.35764	−	1.65000i	−0.600293	−	0.105848i
$244$	3.89210	+	0.686282i	0.249166	+	0.0439347i
$245$	3.70382	+	9.55359i	0.236628	+	0.610356i
$246$	−3.73335	−	4.44924i	−0.238030	−	0.283673i
$247$	−2.29747	−	6.31224i	−0.146184	−	0.401638i
$248$	−7.45498	−	4.30413i	−0.473392	−	0.273313i
$249$	6.30426	+	10.9193i	0.399516	+	0.691982i
$250$	−4.47107	−	10.2474i	−0.282775	−	0.648103i
$251$	−15.6683	−	9.04612i	−0.988977	−	0.570986i	−0.0840085	−	0.996465i	$-0.526772\pi$
$251$	−15.6683	−	9.04612i	−0.988977	−	0.570986i	−0.904968	+	0.425479i	$0.860106\pi$
$252$	−1.46298	+	0.257963i	−0.0921590	+	0.0162501i
$253$	−9.19565			−0.578126
$254$	8.76131	−	1.54486i	0.549734	−	0.0969329i
$255$	11.8987	+	19.6543i	0.745128	+	1.23080i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−6.51169	+	2.37006i	−0.406188	+	0.147840i	−0.537030	−	0.843563i	$-0.680454\pi$
$257$	−6.51169	+	2.37006i	−0.406188	+	0.147840i	0.130843	+	0.991403i	$0.458232\pi$
$258$			17.3778i			1.08190i
$259$	−8.50405	+	4.13938i	−0.528416	+	0.257208i
$260$	8.18815	+	1.26895i	0.507807	+	0.0786968i
$261$	−2.76597	−	7.59944i	−0.171209	−	0.470394i
$262$	−1.03687	+	2.84878i	−0.0640581	+	0.175998i
$263$	−8.36450	−	9.96842i	−0.515777	−	0.614679i	0.443800	−	0.896126i	$-0.353630\pi$
$263$	−8.36450	−	9.96842i	−0.515777	−	0.614679i	−0.959577	+	0.281447i	$0.909186\pi$
$264$	4.00650	−	0.706454i	0.246583	−	0.0434792i
$265$	3.41082	−	22.0090i	0.209525	−	1.35200i
$266$	0.489453	+	2.77583i	0.0300103	+	0.170197i
$267$	4.33120	−	7.50185i	0.265065	−	0.459106i
$268$	−1.63539	+	1.94898i	−0.0998972	+	0.119053i
$269$	−0.624977	−	1.08249i	−0.0381055	−	0.0660007i	0.846344	−	0.532637i	$-0.178799\pi$
$269$	−0.624977	−	1.08249i	−0.0381055	−	0.0660007i	−0.884449	+	0.466637i	$0.845466\pi$
$270$	−9.85483	−	7.92611i	−0.599746	−	0.482368i
$271$	4.12647	−	1.50191i	0.250665	−	0.0912346i	−0.213632	−	0.976914i	$-0.568529\pi$
$271$	4.12647	−	1.50191i	0.250665	−	0.0912346i	0.464297	+	0.885680i	$0.346307\pi$
$272$	5.50465	−	4.61895i	0.333769	−	0.280065i
$273$	4.11932	+	7.13486i	0.249312	+	0.431822i
$274$	−2.49404	−	0.439766i	−0.150670	−	0.0265672i
$275$	6.59488	−	12.6049i	0.397686	−	0.760105i
$276$	−2.97059	+	3.54021i	−0.178809	+	0.213096i
$277$	2.72070	+	0.990254i	0.163471	+	0.0594986i	0.422459	−	0.906382i	$-0.361167\pi$
$277$	2.72070	+	0.990254i	0.163471	+	0.0594986i	−0.258988	+	0.965880i	$0.583389\pi$
$278$	19.5776	+	7.12567i	1.17419	+	0.427369i
$279$	−5.28655	+	6.30026i	−0.316497	+	0.377187i
$280$	−3.29115	−	1.12099i	−0.196684	−	0.0669921i
$281$	15.1608	+	2.67326i	0.904419	+	0.159474i	0.606468	−	0.795108i	$-0.292586\pi$
$281$	15.1608	+	2.67326i	0.904419	+	0.159474i	0.297951	+	0.954581i	$0.403697\pi$
$282$	−1.42445	−	2.46722i	−0.0848249	−	0.146921i
$283$	11.1221	−	9.33252i	0.661138	−	0.554761i	−0.249289	−	0.968429i	$-0.580197\pi$
$283$	11.1221	−	9.33252i	0.661138	−	0.554761i	0.910428	+	0.413668i	$0.135753\pi$
$284$	10.6723	−	3.88442i	0.633287	−	0.230498i
$285$	−3.63256	+	4.51649i	−0.215174	+	0.267534i
$286$	5.27150	+	9.13051i	0.311710	+	0.539898i
$287$	−4.05969	+	4.83816i	−0.239636	+	0.285587i
$288$	−0.477704	+	0.827408i	−0.0281490	+	0.0487555i
$289$	6.01446	+	34.1097i	0.353792	+	2.00645i
$290$	2.89865	−	18.7042i	0.170215	−	1.09835i
$291$	−7.36440	+	1.29854i	−0.431709	+	0.0761219i
$292$	−5.42485	−	6.46509i	−0.317466	−	0.378341i
$293$	7.23516	−	19.8784i	0.422682	−	1.16131i	−0.527483	−	0.849565i	$-0.676864\pi$
$293$	7.23516	−	19.8784i	0.422682	−	1.16131i	0.950166	−	0.311745i	$-0.100914\pi$
$294$	2.24100	+	6.15711i	0.130698	+	0.359090i
$295$	1.51796	−	9.79493i	0.0883788	−	0.570283i
$296$	−1.47622	+	5.90091i	−0.0858036	+	0.342984i
$297$		−	16.0918i		−	0.933741i
$298$	−17.2301	+	6.27126i	−0.998115	+	0.363284i
$299$	−11.2541	−	4.09617i	−0.650844	−	0.236888i
$300$	−2.72231	−	6.61089i	−0.157173	−	0.381680i
$301$	18.6098	−	3.28141i	1.07265	−	0.189137i
$302$	−16.7259			−0.962465
$303$	4.05463	−	0.714941i	0.232933	−	0.0410723i
$304$	1.56991	+	0.906387i	0.0900404	+	0.0519849i
$305$	6.65023	−	5.81993i	0.380791	−	0.333248i
$306$	−3.43269	−	5.94560i	−0.196234	−	0.339887i
$307$	−9.57823	−	5.52999i	−0.546659	−	0.315613i	0.201115	−	0.979568i	$-0.435544\pi$
$307$	−9.57823	−	5.52999i	−0.546659	−	0.315613i	−0.747773	+	0.663954i	$0.768877\pi$
$308$	−1.51307	−	4.15713i	−0.0862152	−	0.236874i
$309$	9.29443	+	11.0767i	0.528742	+	0.630130i
$310$	−17.9471	+	6.95789i	−1.01933	+	0.395182i
$311$	−3.21879	−	0.567560i	−0.182521	−	0.0321834i	0.0816405	−	0.996662i	$-0.473984\pi$
$311$	−3.21879	−	0.567560i	−0.182521	−	0.0321834i	−0.264161	+	0.964478i	$0.585095\pi$
$312$	5.21806	+	0.920085i	0.295414	+	0.0520895i
$313$	15.4060	+	12.9272i	0.870800	+	0.730688i	0.964267	−	0.264934i	$-0.0853502\pi$
$313$	15.4060	+	12.9272i	0.870800	+	0.730688i	−0.0934661	+	0.995622i	$0.529795\pi$
$314$	−1.58004	+	4.34113i	−0.0891670	+	0.244984i
$315$	−1.60075	+	2.91064i	−0.0901922	+	0.163996i
$316$	−1.22708	+	1.46238i	−0.0690288	+	0.0822654i
$317$	5.67633	+	1.00089i	0.318814	+	0.0562156i	0.330765	−	0.943713i	$-0.392693\pi$
$317$	5.67633	+	1.00089i	0.318814	+	0.0562156i	−0.0119510	+	0.999929i	$0.503804\pi$
$318$	2.47311	−	14.0257i	0.138685	−	0.786521i
$319$	20.8568	−	12.0417i	1.16776	−	0.674205i
$320$	−1.91284	+	1.15803i	−0.106931	+	0.0647361i
$321$	−26.3404	+	9.58711i	−1.47018	+	0.535100i
$322$	4.35211	+	2.51269i	0.242534	+	0.140027i
$323$	−11.2811	+	6.51313i	−0.627695	+	0.362400i
$324$	−3.99950	−	3.35598i	−0.222194	−	0.186443i
$325$	13.6860	−	12.4889i	0.759163	−	0.692761i
$326$	−2.01593	−	11.4329i	−0.111652	−	0.633211i
$327$	18.3238			1.01331
$328$	0.705340	+	4.00018i	0.0389459	+	0.220873i
$329$	−2.37315	+	1.99131i	−0.130836	+	0.109785i
$330$	4.38380	−	7.97106i	0.241320	−	0.438792i
$331$	1.98439	+	5.45207i	0.109072	+	0.299673i	0.982206	−	0.187808i	$-0.0601382\pi$
$331$	1.98439	+	5.45207i	0.109072	+	0.299673i	−0.873134	+	0.487481i	$0.837916\pi$
$332$		−	8.81781i		−	0.483940i
$333$	5.30722	+	2.36796i	0.290834	+	0.129763i
$334$	7.56082			0.413710
$335$	1.10410	+	5.58086i	0.0603236	+	0.304915i
$336$	−2.08923	−	0.760418i	−0.113977	−	0.0414842i
$337$	12.2492	+	14.5980i	0.667255	+	0.795203i	0.988408	−	0.151824i	$-0.0485147\pi$
$337$	12.2492	+	14.5980i	0.667255	+	0.795203i	−0.321153	+	0.947027i	$0.604070\pi$
$338$	0.126972	+	0.720095i	0.00690638	+	0.0391680i
$339$		−	13.0573i		−	0.709174i
$340$	−0.333906	−	16.0645i	−0.0181086	−	0.871220i
$341$	−21.2108	−	12.2460i	−1.14863	−	0.663161i
$342$	1.11327	−	1.32674i	0.0601987	−	0.0717420i
$343$	15.5964	−	9.00459i	0.842127	−	0.486202i
$344$	6.07663	−	10.5250i	0.327630	−	0.567471i
$345$	2.00554	+	10.1373i	0.107975	+	0.545776i
$346$	10.8190	+	12.8936i	0.581634	+	0.693165i
$347$	5.71974	+	9.90689i	0.307052	+	0.531830i	0.977716	−	0.209932i	$-0.0673241\pi$
$347$	5.71974	+	9.90689i	0.307052	+	0.531830i	−0.670664	+	0.741761i	$0.733991\pi$
$348$	2.10175	−	11.9196i	0.112665	−	0.638958i
$349$	−0.215685	+	1.22321i	−0.0115454	+	0.0654771i	−0.990036	−	0.140814i	$-0.955028\pi$
$349$	−0.215685	+	1.22321i	−0.0115454	+	0.0654771i	0.978491	+	0.206291i	$0.0661393\pi$
$350$	−6.56550	+	4.16361i	−0.350941	+	0.222555i
$351$	7.16804	−	19.6940i	0.382602	−	1.05119i
$352$	−2.67360	−	0.973110i	−0.142503	−	0.0518669i
$353$	4.69752	+	3.94169i	0.250024	+	0.209795i	0.759183	−	0.650878i	$-0.225599\pi$
$353$	4.69752	+	3.94169i	0.250024	+	0.209795i	−0.509159	+	0.860673i	$0.670043\pi$
$354$	1.10063	−	6.24201i	0.0584981	−	0.331759i
$355$	8.18803	−	24.0394i	0.434576	−	1.27588i
$356$	−5.24645	+	3.02904i	−0.278061	+	0.160539i
$357$	12.2386	−	10.2694i	0.647734	−	0.543513i
$358$	−5.11329	−	14.0486i	−0.270246	−	0.742494i
$359$	−12.8727	+	22.2961i	−0.679394	+	1.17675i	0.295769	+	0.955259i	$0.404424\pi$
$359$	−12.8727	+	22.2961i	−0.679394	+	1.17675i	−0.975164	+	0.221486i	$0.928909\pi$
$360$	0.772238	+	1.99190i	0.0407005	+	0.104982i
$361$	12.0375	+	10.1007i	0.633553	+	0.531614i
$362$	−0.174637	+	0.302479i	−0.00917869	+	0.0158980i
$363$	−4.09064	+	0.721291i	−0.214703	+	0.0378580i
$364$		−	5.76171i		−	0.301996i
$365$	−18.8674	+	0.392165i	−0.987564	+	0.0205268i
$366$	4.32902	−	3.63248i	0.226282	−	0.189873i
$367$	−1.32496	+	3.64030i	−0.0691625	+	0.190022i	−0.969458	−	0.245256i	$-0.921128\pi$
$367$	−1.32496	+	3.64030i	−0.0691625	+	0.190022i	0.900296	+	0.435279i	$0.143350\pi$
$368$	3.03709	−	1.10541i	0.158319	−	0.0576236i
$369$	3.88077			0.202025
$370$	8.21311	+	10.8418i	0.426979	+	0.563639i
$371$	−15.4870			−0.804044
$372$	−11.5666	+	4.20989i	−0.599699	+	0.218273i
$373$	−9.40977	+	25.8531i	−0.487219	+	1.33862i	0.415968	+	0.909379i	$0.363443\pi$
$373$	−9.40977	+	25.8531i	−0.487219	+	1.33862i	−0.903188	+	0.429245i	$0.858780\pi$
$374$	15.6617	−	13.1418i	0.809849	−	0.679544i
$375$	−15.3341	−	4.52114i	−0.791847	−	0.233471i
$376$			1.99239i			0.102750i
$377$	30.8896	−	5.44668i	1.59090	−	0.280518i
$378$	−4.39706	+	7.61592i	−0.226160	+	0.391721i
$379$	17.3062	+	14.5217i	0.888962	+	0.745928i	0.968002	−	0.250944i	$-0.0807410\pi$
$379$	17.3062	+	14.5217i	0.888962	+	0.745928i	−0.0790397	+	0.996871i	$0.525185\pi$
$380$	3.77940	−	1.46523i	0.193879	−	0.0751647i
$381$	6.36050	−	11.0167i	0.325858	−	0.564403i
$382$	6.24639	+	17.1618i	0.319593	+	0.878074i
$383$	8.57925	−	7.19885i	0.438379	−	0.367844i	−0.396723	−	0.917938i	$-0.629853\pi$
$383$	8.57925	−	7.19885i	0.438379	−	0.367844i	0.835103	+	0.550094i	$0.185408\pi$
$384$	−1.23832	+	0.714946i	−0.0631929	+	0.0364844i
$385$	−9.36392	−	3.18943i	−0.477230	−	0.162548i
$386$	3.63910	−	20.6384i	0.185226	−	1.05047i
$387$	−8.89478	−	7.46361i	−0.452147	−	0.379397i
$388$	4.91437	+	1.78869i	0.249490	+	0.0908068i
$389$	3.72359	−	10.2305i	0.188794	−	0.518707i	−0.808796	−	0.588089i	$-0.799881\pi$
$389$	3.72359	−	10.2305i	0.188794	−	0.518707i	0.997590	+	0.0693822i	$0.0221028\pi$
$390$	8.91582	−	7.80267i	0.451470	−	0.395103i
$391$	−4.03291	+	22.8718i	−0.203953	+	1.15667i
$392$	0.795715	−	4.51273i	0.0401897	−	0.227927i
$393$	2.16744	+	3.75411i	0.109333	+	0.189370i
$394$	1.78700	+	2.12966i	0.0900278	+	0.107291i
$395$	0.828444	+	4.18750i	0.0416835	+	0.210696i
$396$	−1.35916	+	2.35413i	−0.0683001	+	0.118299i
$397$	25.2983	−	14.6060i	1.26969	−	0.733053i	0.294757	−	0.955572i	$-0.404761\pi$
$397$	25.2983	−	14.6060i	1.26969	−	0.733053i	0.974928	+	0.222519i	$0.0714279\pi$
$398$	−12.7706	+	15.2194i	−0.640134	+	0.762882i
$399$	3.49040	+	2.01518i	0.174738	+	0.100885i
$400$	−0.662884	+	4.95586i	−0.0331442	+	0.247793i
$401$			8.69852i			0.434384i	0.976129	+	0.217192i	$0.0696897\pi$
$401$			8.69852i			0.434384i	−0.976129	+	0.217192i	$0.930310\pi$
$402$	0.631723	+	3.58268i	0.0315075	+	0.178688i
$403$	−20.5040	−	24.4357i	−1.02137	−	1.21723i
$404$	−2.70572	−	0.984801i	−0.134615	−	0.0489957i
$405$	−11.4525	+	2.26573i	−0.569078	+	0.112585i
$406$	−13.1615			−0.653193
$407$	−4.20012	+	16.7892i	−0.208192	+	0.832208i
$408$		−	10.2749i		−	0.508685i
$409$	5.97622	+	16.4195i	0.295505	+	0.811893i	0.995237	+	0.0974873i	$0.0310805\pi$
$409$	5.97622	+	16.4195i	0.295505	+	0.811893i	−0.699732	+	0.714405i	$0.746697\pi$
$410$	7.95850	+	4.37689i	0.393042	+	0.216159i
$411$	−2.77401	+	2.32767i	−0.136832	+	0.114816i
$412$	−1.75599	−	9.95872i	−0.0865115	−	0.490631i
$413$	−6.89235			−0.339150
$414$	−0.536206	−	3.04097i	−0.0263531	−	0.149456i
$415$	−15.3644	−	12.3574i	−0.754208	−	0.606599i
$416$	−2.83863	−	2.38189i	−0.139175	−	0.116782i
$417$	25.7993	−	14.8952i	1.26340	−	0.729423i
$418$	4.46667	+	2.57884i	0.218472	+	0.126135i
$419$	−1.31973	+	0.480344i	−0.0644733	+	0.0234663i	−0.374055	−	0.927406i	$-0.622033\pi$
$419$	−1.31973	+	0.480344i	−0.0644733	+	0.0234663i	0.309582	+	0.950873i	$0.399811\pi$
$420$	−4.25284	+	2.57467i	−0.207517	+	0.125631i
$421$	−21.7213	+	12.5408i	−1.05863	+	0.611200i	−0.925053	−	0.379838i	$-0.875980\pi$
$421$	−21.7213	+	12.5408i	−1.05863	+	0.611200i	−0.133577	+	0.991038i	$0.542646\pi$
$422$	0.0852117	−	0.483260i	0.00414804	−	0.0235247i
$423$	1.87463	+	0.330547i	0.0911475	+	0.0160718i
$424$	−6.40231	+	7.62998i	−0.310924	+	0.370544i
$425$	−28.4591	−	21.9311i	−1.38047	−	1.06382i
$426$	5.55430	−	15.2603i	0.269107	−	0.739364i
$427$	−4.70743	−	3.95000i	−0.227809	−	0.191154i
$428$	19.3056	+	3.40411i	0.933173	+	0.164544i
$429$	14.8463	+	2.61781i	0.716788	+	0.126389i
$430$	−9.82323	−	25.3380i	−0.473718	−	1.22190i
$431$	17.9892	+	21.4387i	0.866510	+	1.03267i	0.999138	+	0.0415008i	$0.0132139\pi$
$431$	17.9892	+	21.4387i	0.866510	+	1.03267i	−0.132628	+	0.991166i	$0.542342\pi$
$432$	1.93440	+	5.31472i	0.0930689	+	0.255705i
$433$	13.7254	+	7.92439i	0.659603	+	0.380822i	0.792126	−	0.610358i	$-0.208974\pi$
$433$	13.7254	+	7.92439i	0.659603	+	0.380822i	−0.132523	+	0.991180i	$0.542308\pi$
$434$	6.69242	+	11.5916i	0.321246	+	0.556415i
$435$	−17.8236	−	20.3664i	−0.854577	−	0.976494i
$436$	−11.0979	−	6.40740i	−0.531495	−	0.306859i
$437$	−5.76989	+	1.01739i	−0.276011	+	0.0486682i
$438$	−12.0677			−0.576616
$439$	−3.37836	+	0.595697i	−0.161241	+	0.0284311i	−0.253686	−	0.967287i	$-0.581643\pi$
$439$	−3.37836	+	0.595697i	−0.161241	+	0.0284311i	0.0924451	+	0.995718i	$0.470532\pi$
$440$	−5.44238	+	3.29482i	−0.259455	+	0.157074i
$441$	−4.11398	−	1.49737i	−0.195904	−	0.0713032i
$442$	25.0217	−	9.10714i	1.19016	−	0.433182i
$443$			16.4750i			0.782749i	0.920232	+	0.391374i	$0.128000\pi$
$443$			16.4750i			0.782749i	−0.920232	+	0.391374i	$0.872000\pi$
$444$	5.10681	+	7.04062i	0.242358	+	0.334133i
$445$	−2.07455	+	13.3865i	−0.0983431	+	0.634580i
$446$	−1.45199	−	3.98930i	−0.0687535	−	0.188899i
$447$	−8.96722	+	24.6372i	−0.424135	+	1.16530i
$448$	0.999459	+	1.19111i	0.0472200	+	0.0562746i
$449$	12.5363	−	2.21049i	0.591624	−	0.104319i	0.130183	−	0.991490i	$-0.458444\pi$
$449$	12.5363	−	2.21049i	0.591624	−	0.104319i	0.461441	+	0.887171i	$0.347333\pi$
$450$	4.55296	+	1.44591i	0.214629	+	0.0681606i
$451$	2.00682	+	11.3813i	0.0944975	+	0.535922i
$452$	−4.56582	+	7.90824i	−0.214758	+	0.371972i
$453$	−15.3730	+	18.3208i	−0.722287	+	0.860789i
$454$	−2.34274	−	4.05775i	−0.109950	−	0.190440i
$455$	−10.0394	−	8.07453i	−0.470653	−	0.378540i
$456$	2.43575	−	0.886541i	0.114064	−	0.0415161i
$457$	−26.7581	+	22.4527i	−1.25169	+	1.05029i	−0.255173	+	0.966895i	$0.582132\pi$
$457$	−26.7581	+	22.4527i	−1.25169	+	1.05029i	−0.996516	+	0.0833967i	$0.973423\pi$
$458$	−9.51218	−	16.4756i	−0.444475	−	0.769853i
$459$	−40.0241	−	7.05734i	−1.86817	−	0.329408i
$460$	2.33012	−	6.84105i	0.108642	−	0.318965i
$461$	0.657559	−	0.783648i	0.0306256	−	0.0364981i	−0.750514	−	0.660854i	$-0.770194\pi$
$461$	0.657559	−	0.783648i	0.0306256	−	0.0364981i	0.781140	+	0.624356i	$0.214639\pi$
$462$	−5.94424	−	2.16353i	−0.276551	−	0.100656i
$463$	5.59191	+	2.03529i	0.259878	+	0.0945878i	0.468673	−	0.883371i	$-0.344732\pi$
$463$	5.59191	+	2.03529i	0.259878	+	0.0945878i	−0.208796	+	0.977959i	$0.566954\pi$
$464$	−5.44095	+	6.48427i	−0.252590	+	0.301025i
$465$	−8.87410	+	26.0537i	−0.411527	+	1.20821i
$466$	11.4460	+	2.01824i	0.530227	+	0.0934933i
$467$	−1.92127	−	3.32774i	−0.0889058	−	0.153989i	0.818143	−	0.575015i	$-0.195004\pi$
$467$	−1.92127	−	3.32774i	−0.0889058	−	0.153989i	−0.907049	+	0.421025i	$0.861670\pi$
$468$	−2.71205	+	2.27568i	−0.125364	+	0.105193i
$469$	3.71738	−	1.35301i	0.171652	−	0.0624764i
$470$	3.47159	+	2.79216i	0.160133	+	0.128793i
$471$	3.30286	+	5.72073i	0.152188	+	0.263597i
$472$	−2.84929	+	3.39566i	−0.131149	+	0.156298i
$473$	17.2891	−	29.9456i	0.794954	−	1.37690i
$474$	0.474002	+	2.68820i	0.0217716	+	0.123473i
$475$	2.74343	−	8.63871i	0.125877	−	0.396371i
$476$	−11.0033	+	1.94019i	−0.504338	+	0.0889283i
$477$	6.11682	+	7.28974i	0.280070	+	0.333774i
$478$	−1.99166	+	5.47203i	−0.0910963	+	0.250285i
$479$	12.7071	+	34.9125i	0.580603	+	1.59519i	0.787154	+	0.616757i	$0.211554\pi$
$479$	12.7071	+	34.9125i	0.580603	+	1.59519i	−0.206551	+	0.978436i	$0.566224\pi$
$480$	−0.489658	+	3.15962i	−0.0223497	+	0.144216i
$481$	−12.6190	+	18.6766i	−0.575378	+	0.851579i
$482$			22.7772i			1.03747i
$483$	6.75241	−	2.45768i	0.307245	−	0.111828i
$484$	2.72975	+	0.993547i	0.124080	+	0.0451612i
$485$	10.0037	−	6.05625i	0.454245	−	0.275000i
$486$	9.35764	−	1.65000i	0.424471	−	0.0748457i
$487$	−9.74863			−0.441753			−0.220876	−	0.975302i	$-0.570892\pi$
$487$	−9.74863			−0.441753			−0.220876	+	0.975302i	$0.570892\pi$
$488$	−3.89210	+	0.686282i	−0.176187	+	0.0310665i
$489$	−14.3761	−	8.30002i	−0.650108	−	0.375340i
$490$	−6.74797	−	7.71066i	−0.304842	−	0.348332i
$491$	−19.3544	−	33.5228i	−0.873452	−	1.51286i	−0.858403	−	0.512976i	$-0.828543\pi$
$491$	−19.3544	−	33.5228i	−0.873452	−	1.51286i	−0.0150485	−	0.999887i	$-0.504790\pi$
$492$	5.02993	+	2.90403i	0.226767	+	0.130924i
$493$	−20.8034	−	57.1569i	−0.936939	−	2.57422i
$494$	4.31783	+	5.14579i	0.194268	+	0.231520i
$495$	2.19716	+	5.66732i	0.0987548	+	0.254727i
$496$	8.47749	+	1.49481i	0.380651	+	0.0671190i
$497$	−17.3909	−	3.06649i	−0.780090	−	0.137551i
$498$	−9.65868	−	8.10460i	−0.432816	−	0.363176i
$499$	11.6402	−	31.9811i	0.521086	−	1.43167i	−0.348228	−	0.937410i	$-0.613217\pi$
$499$	11.6402	−	31.9811i	0.521086	−	1.43167i	0.869314	−	0.494261i	$-0.164561\pi$
$500$	7.70625	+	8.10023i	0.344634	+	0.362253i
$501$	6.94928	−	8.28183i	0.310471	−	0.370005i
$502$	17.8174	+	3.14168i	0.795229	+	0.140220i
$503$	−1.00145	+	5.67952i	−0.0446525	+	0.253237i	−0.998960	−	0.0455884i	$-0.985484\pi$
$503$	−1.00145	+	5.67952i	−0.0446525	+	0.253237i	0.954308	+	0.298825i	$0.0965948\pi$
$504$	1.28652	−	0.742773i	0.0573062	−	0.0330858i
$505$	−5.50777	+	3.33440i	−0.245092	+	0.148379i
$506$	8.64108	−	3.14510i	0.384143	−	0.139817i
$507$	0.905466	+	0.522771i	0.0402132	+	0.0232171i
$508$	−7.70457	+	4.44823i	−0.341835	+	0.197358i
$509$	19.4953	+	16.3585i	0.864112	+	0.725076i	0.962850	−	0.270037i	$-0.0870361\pi$
$509$	19.4953	+	16.3585i	0.864112	+	0.725076i	−0.0987378	+	0.995113i	$0.531481\pi$
$510$	−17.9033	−	14.3994i	−0.792772	−	0.637616i
$511$	2.27871	+	12.9232i	0.100804	+	0.571688i
$512$	1.00000			0.0441942
$513$	−1.78036	−	10.0969i	−0.0786049	−	0.445791i
$514$	5.30838	−	4.45426i	0.234142	−	0.196469i
$515$	−19.8132	−	10.8966i	−0.873074	−	0.480160i
$516$	−5.94357	−	16.3298i	−0.261651	−	0.718881i
$517$			5.66871i			0.249310i
$518$	6.57544	−	6.79830i	0.288908	−	0.298700i
$519$	24.0671			1.05643
$520$	−8.12835	+	1.60809i	−0.356452	+	0.0705195i
$521$	24.9773	+	9.09100i	1.09428	+	0.398284i	0.825203	−	0.564836i	$-0.191060\pi$
$521$	24.9773	+	9.09100i	1.09428	+	0.398284i	0.269073	+	0.963120i	$0.413283\pi$
$522$	5.19832	+	6.19512i	0.227524	+	0.271153i
$523$	6.14388	+	34.8437i	0.268653	+	1.52361i	0.758427	+	0.651759i	$0.225968\pi$
$523$	6.14388	+	34.8437i	0.268653	+	1.52361i	−0.489773	+	0.871850i	$0.662920\pi$
$524$		−	3.03161i		−	0.132436i
$525$	−1.47380	+	11.0184i	−0.0643219	+	0.480884i
$526$	11.2695	+	6.50642i	0.491372	+	0.283694i
$527$	−39.7612	+	47.3855i	−1.73202	+	2.06415i
$528$	−3.52325	+	2.03415i	−0.153330	+	0.0885251i
$529$	6.27706	−	10.8722i	0.272916	−	0.472704i
$530$	4.32241	+	21.8483i	0.187753	+	0.949029i
$531$	2.72224	+	3.24424i	0.118135	+	0.140788i
$532$	−1.40932	−	2.44102i	−0.0611020	−	0.105832i
$533$	−2.61368	+	14.8229i	−0.113211	+	0.642053i
$534$	−1.50421	+	8.53079i	−0.0650935	+	0.369164i
$535$	32.9865	−	28.8681i	1.42613	−	1.24808i
$536$	0.870172	−	2.39078i	0.0375857	−	0.103266i
$537$	−20.0880	−	7.31145i	−0.866863	−	0.315512i
$538$	0.957520	+	0.803455i	0.0412816	+	0.0346394i
$539$	2.26396	−	12.8395i	0.0975155	−	0.553038i
$540$	11.9714	+	4.07756i	0.515167	+	0.175470i
$541$	−27.7837	+	16.0409i	−1.19451	+	0.689653i	−0.959327	−	0.282297i	$-0.908904\pi$
$541$	−27.7837	+	16.0409i	−1.19451	+	0.689653i	−0.235187	+	0.971950i	$0.575570\pi$
$542$	−3.36393	+	2.82267i	−0.144493	+	0.121244i
$543$	0.170813	+	0.469304i	0.00733027	+	0.0201398i
$544$	−3.59291	+	6.22310i	−0.154045	+	0.266813i
$545$	−26.7172	+	10.3579i	−1.14444	+	0.443686i
$546$	−6.31116	−	5.29569i	−0.270093	−	0.226635i
$547$	−10.1603	+	17.5981i	−0.434422	+	0.752442i	−0.997248	−	0.0741337i	$-0.976381\pi$
$547$	−10.1603	+	17.5981i	−0.434422	+	0.752442i	0.562826	+	0.826576i	$0.309714\pi$
$548$	2.49404	−	0.439766i	0.106540	−	0.0187859i
$549$			3.77591i			0.161152i
$550$	−1.88603	+	14.1003i	−0.0804204	+	0.601240i
$551$	11.7545	−	9.86320i	0.500759	−	0.420187i
$552$	1.58062	−	4.34272i	0.0672756	−	0.184838i
$553$	2.78926	−	1.01521i	0.118612	−	0.0431711i
$554$	−2.89531			−0.123010
$555$	19.4245	+	0.968567i	0.824524	+	0.0411134i
$556$	−20.8341			−0.883562
$557$	17.1613	−	6.24621i	0.727148	−	0.264660i	0.0481911	−	0.998838i	$-0.484654\pi$
$557$	17.1613	−	6.24621i	0.727148	−	0.264660i	0.678957	+	0.734178i	$0.262432\pi$
$558$	2.81291	−	7.72842i	0.119080	−	0.327170i
$559$	34.4985	−	28.9477i	1.45913	−	1.22436i
$560$	3.47607	−	0.0722512i	0.146891	−	0.00305317i
$561$		−	29.2341i		−	1.23426i
$562$	−15.1608	+	2.67326i	−0.639521	+	0.112765i
$563$	13.3996	−	23.2088i	0.564727	−	0.978136i	−0.432348	−	0.901707i	$-0.642315\pi$
$563$	13.3996	−	23.2088i	0.564727	−	0.978136i	0.997075	−	0.0764289i	$-0.0243518\pi$
$564$	2.18239	+	1.83124i	0.0918950	+	0.0771091i
$565$	7.38093	+	19.0383i	0.310518	+	0.800947i
$566$	−7.25942	+	12.5737i	−0.305136	+	0.528511i
$567$	2.77652	+	7.62842i	0.116603	+	0.320363i
$568$	−8.70018	+	7.30032i	−0.365051	+	0.306315i
$569$	−27.8053	+	16.0534i	−1.16566	+	0.672994i	−0.952654	−	0.304057i	$-0.901659\pi$
$569$	−27.8053	+	16.0534i	−1.16566	+	0.672994i	−0.213006	+	0.977051i	$0.568325\pi$
$570$	1.86875	−	5.48652i	0.0782735	−	0.229805i
$571$	6.32872	−	35.8920i	0.264849	−	1.50203i	−0.504617	−	0.863343i	$-0.668366\pi$
$571$	6.32872	−	35.8920i	0.264849	−	1.50203i	0.769466	−	0.638688i	$-0.220523\pi$
$572$	−8.07641	−	6.77691i	−0.337692	−	0.283357i
$573$	24.5395	+	8.93166i	1.02515	+	0.373125i
$574$	2.16012	−	5.93488i	0.0901616	−	0.247717i
$575$	−8.65457	−	13.6472i	−0.360920	−	0.569126i
$576$	0.165905	−	0.940893i	0.00691270	−	0.0392039i
$577$	4.21311	−	23.8938i	0.175394	−	0.994710i	−0.762294	−	0.647231i	$-0.775927\pi$
$577$	4.21311	−	23.8938i	0.175394	−	0.994710i	0.937688	−	0.347479i	$-0.112962\pi$
$578$	−17.3180	−	29.9956i	−0.720332	−	1.24765i
$579$	−19.2617	−	22.9552i	−0.800490	−	0.953987i
$580$	3.67336	+	18.5676i	0.152528	+	0.770976i
$581$	−6.85533	+	11.8738i	−0.284407	+	0.492607i
$582$	6.47614	−	3.73900i	0.268445	−	0.154987i
$583$	−18.2157	+	21.7087i	−0.754419	+	0.899081i
$584$	7.30889	+	4.21979i	0.302444	+	0.174616i
$585$	0.164510	+	7.91470i	0.00680163	+	0.327233i
$586$			21.1542i			0.873871i
$587$	−2.07862	−	11.7885i	−0.0857940	−	0.486562i	−0.997182	−	0.0750147i	$-0.976100\pi$
$587$	−2.07862	−	11.7885i	−0.0857940	−	0.486562i	0.911388	−	0.411547i	$-0.135011\pi$
$588$	−4.21171	−	5.01932i	−0.173688	−	0.206993i
$589$	−14.6638	−	5.33717i	−0.604210	−	0.219914i
$590$	1.92365	+	9.72339i	0.0791954	+	0.400306i
$591$	3.97521			0.163518
$592$	−0.631036	−	6.04994i	−0.0259354	−	0.248651i
$593$		−	11.8001i		−	0.484574i	−0.970205	−	0.242287i	$-0.922102\pi$
$593$		−	11.8001i		−	0.484574i	0.970205	−	0.242287i	$-0.0778976\pi$
$594$	5.50372	+	15.1213i	0.225820	+	0.620436i
$595$	−12.0396	+	21.8915i	−0.493574	+	0.897465i
$596$	14.0461	−	11.7861i	0.575352	−	0.482778i
$597$	4.93308	+	27.9769i	0.201898	+	1.14502i
$598$	11.9764			0.489752
$599$	5.18341	+	29.3966i	0.211788	+	1.20111i	0.886394	+	0.462932i	$0.153203\pi$
$599$	5.18341	+	29.3966i	0.211788	+	1.20111i	−0.674605	+	0.738179i	$0.735686\pi$
$600$	4.81919	+	5.28112i	0.196743	+	0.215601i
$601$	37.0333	+	31.0747i	1.51062	+	1.26756i	0.862538	+	0.505993i	$0.168874\pi$
$601$	37.0333	+	31.0747i	1.51062	+	1.26756i	0.648084	+	0.761569i	$0.275571\pi$
$602$	−16.3652	+	9.44844i	−0.666995	+	0.385089i
$603$	−2.10510	−	1.21538i	−0.0857263	−	0.0494941i
$604$	15.7172	−	5.72058i	0.639522	−	0.232767i
$605$	5.55668	−	3.36402i	0.225911	−	0.136767i
$606$	−3.56558	+	2.05859i	−0.144842	+	0.0836246i
$607$	2.42384	−	13.7463i	0.0983804	−	0.557943i	−0.895279	−	0.445507i	$-0.853023\pi$
$607$	2.42384	−	13.7463i	0.0983804	−	0.557943i	0.993659	−	0.112436i	$-0.0358654\pi$
$608$	−1.78523	−	0.314785i	−0.0724008	−	0.0127662i
$609$	−12.0969	+	14.4166i	−0.490192	+	0.584188i
$610$	−4.25863	+	7.74346i	−0.172427	+	0.313524i
$611$	−2.52511	+	6.93768i	−0.102155	+	0.280669i
$612$	5.25919	+	4.41298i	0.212590	+	0.178384i
$613$	−0.936313	−	0.165097i	−0.0378173	−	0.00666821i	0.154708	−	0.987960i	$-0.450556\pi$
$613$	−0.936313	−	0.165097i	−0.0378173	−	0.00666821i	−0.192525	+	0.981292i	$0.561668\pi$
$614$	10.8920	+	1.92055i	0.439564	+	0.0775070i
$615$	12.1091	−	4.69455i	0.488285	−	0.189302i
$616$	2.84364	+	3.38892i	0.114574	+	0.136544i
$617$	11.1985	+	30.7676i	0.450834	+	1.23866i	0.932138	+	0.362103i	$0.117941\pi$
$617$	11.1985	+	30.7676i	0.450834	+	1.23866i	−0.481304	+	0.876554i	$0.659837\pi$
$618$	−12.5224	−	7.22979i	−0.503723	−	0.290825i
$619$	−2.81449	−	4.87483i	−0.113124	−	0.195936i	0.803904	−	0.594758i	$-0.202752\pi$
$619$	−2.81449	−	4.87483i	−0.113124	−	0.195936i	−0.917028	+	0.398822i	$0.869419\pi$
$620$	14.4850	−	12.6766i	0.581733	−	0.509103i
$621$	−15.8306	−	9.13981i	−0.635260	−	0.366768i
$622$	3.21879	−	0.567560i	0.129062	−	0.0227571i
$623$	9.41959			0.377388
$624$	−5.21806	+	0.920085i	−0.208890	+	0.0368329i
$625$	24.9137	−	2.07584i	0.996547	−	0.0830336i
$626$	−18.8983	−	6.87842i	−0.755328	−	0.274917i
$627$	6.93015	−	2.52237i	0.276764	−	0.100734i
$628$		−	4.61974i		−	0.184348i
$629$	39.9166	+	17.8099i	1.59158	+	0.710126i
$630$	0.508716	−	3.28260i	0.0202677	−	0.130782i
$631$	−13.2290	−	36.3463i	−0.526637	−	1.44692i	−0.863007	−	0.505192i	$-0.831422\pi$
$631$	−13.2290	−	36.3463i	−0.526637	−	1.44692i	0.336370	−	0.941730i	$-0.390801\pi$
$632$	0.652917	−	1.79388i	0.0259717	−	0.0713565i
$633$	−0.451024	−	0.537510i	−0.0179266	−	0.0213641i
$634$	−5.67633	+	1.00089i	−0.225436	+	0.0397504i
$635$	−3.04654	+	19.6584i	−0.120898	+	0.780122i
$636$	2.47311	+	14.0257i	0.0980650	+	0.556155i
$637$	8.49008	−	14.7053i	0.336389	−	0.582643i
$638$	−15.4805	+	18.4489i	−0.612878	+	0.730400i
$639$	5.42542	+	9.39710i	0.214626	+	0.371744i
$640$	1.40141	−	1.74243i	0.0553956	−	0.0688754i
$641$	39.8546	−	14.5059i	1.57416	−	0.572948i	0.600237	−	0.799822i	$-0.295073\pi$
$641$	39.8546	−	14.5059i	1.57416	−	0.572948i	0.973924	+	0.226875i	$0.0728508\pi$
$642$	21.4729	−	18.0179i	0.847467	−	0.711109i
$643$	6.74763	+	11.6872i	0.266100	+	0.460900i	0.967851	−	0.251523i	$-0.0809314\pi$
$643$	6.74763	+	11.6872i	0.266100	+	0.460900i	−0.701751	+	0.712422i	$0.747598\pi$
$644$	−4.94904	−	0.872650i	−0.195020	−	0.0343872i
$645$	−36.7829	−	12.5286i	−1.44833	−	0.493311i
$646$	8.37311	−	9.97869i	0.329436	−	0.392606i
$647$	−28.2483	−	10.2815i	−1.11055	−	0.404209i	−0.279358	−	0.960187i	$-0.590122\pi$
$647$	−28.2483	−	10.2815i	−1.11055	−	0.404209i	−0.831197	+	0.555978i	$0.812344\pi$
$648$	4.90611	+	1.78568i	0.192730	+	0.0701480i
$649$	−8.10676	+	9.66126i	−0.318218	+	0.379238i
$650$	−8.58917	+	16.4166i	−0.336895	+	0.643914i
$651$	18.8481	+	3.32343i	0.738716	+	0.130256i
$652$	5.80465	+	10.0539i	0.227328	+	0.393743i
$653$	−32.9027	+	27.6087i	−1.28758	+	1.08041i	−0.295433	+	0.955363i	$0.595464\pi$
$653$	−32.9027	+	27.6087i	−1.28758	+	1.08041i	−0.992151	+	0.125048i	$0.960092\pi$
$654$	−17.2187	+	6.26710i	−0.673305	+	0.245063i
$655$	−5.28235	−	4.24853i	−0.206399	−	0.166004i
$656$	−2.03095	−	3.51770i	−0.0792951	−	0.137343i
$657$	5.18295	−	6.17680i	0.202206	−	0.240980i
$658$	1.54897	−	2.68289i	0.0603850	−	0.104590i
$659$	−1.06613	−	6.04633i	−0.0415306	−	0.235532i	0.956976	−	0.290168i	$-0.0937112\pi$
$659$	−1.06613	−	6.04633i	−0.0415306	−	0.235532i	−0.998506	+	0.0546363i	$0.982600\pi$
$660$	−1.39317	+	8.98969i	−0.0542289	+	0.349923i
$661$	−6.09365	+	1.07448i	−0.237016	+	0.0417922i	−0.290894	−	0.956755i	$-0.593953\pi$
$661$	−6.09365	+	1.07448i	−0.237016	+	0.0417922i	0.0538785	+	0.998547i	$0.482842\pi$
$662$	−3.72944	−	4.44457i	−0.144949	−	0.172743i
$663$	13.0222	−	35.7783i	0.505741	−	1.38951i
$664$	3.01587	+	8.28603i	0.117038	+	0.321560i
$665$	−6.22834	−	0.965229i	−0.241525	−	0.0374300i
$666$	−5.79704	−	0.409977i	−0.224631	−	0.0158863i
$667$		−	27.3577i		−	1.05929i
$668$	−7.10485	+	2.58595i	−0.274895	+	0.100054i
$669$	−5.70427	−	2.07618i	−0.220540	−	0.0802699i
$670$	−2.94629	−	4.86667i	−0.113825	−	0.188016i
$671$	−11.0737	+	1.95260i	−0.427497	+	0.0753792i
$672$	2.22331			0.0857662
$673$	16.2163	−	2.85937i	0.625092	−	0.110221i	0.147875	−	0.989006i	$-0.452757\pi$
$673$	16.2163	−	2.85937i	0.625092	−	0.110221i	0.477217	+	0.878785i	$0.341646\pi$
$674$	−16.5033	−	9.52816i	−0.635682	−	0.367011i
$675$	23.8817	−	15.1449i	0.919206	−	0.582929i
$676$	−0.365602	−	0.633241i	−0.0140616	−	0.0243554i
$677$	−1.56325	−	0.902546i	−0.0600808	−	0.0346876i	0.469659	−	0.882848i	$-0.344377\pi$
$677$	−1.56325	−	0.902546i	−0.0600808	−	0.0346876i	−0.529739	+	0.848160i	$0.677710\pi$
$678$	4.46585	+	12.2698i	0.171510	+	0.471220i
$679$	−5.22694	−	6.22922i	−0.200591	−	0.239056i
$680$	5.80815	+	14.9815i	0.222732	+	0.574514i
$681$	−6.59795	−	1.16340i	−0.252834	−	0.0445815i
$682$	24.1200	+	4.25301i	0.923603	+	0.162856i
$683$	−14.3251	−	12.0202i	−0.548134	−	0.459939i	0.326175	−	0.945309i	$-0.394240\pi$
$683$	−14.3251	−	12.0202i	−0.548134	−	0.459939i	−0.874308	+	0.485371i	$0.838685\pi$
$684$	−0.592358	+	1.62749i	−0.0226494	+	0.0622286i
$685$	2.72891	−	4.96196i	0.104266	−	0.189587i
$686$	−11.5761	+	13.7958i	−0.441977	+	0.526727i
$687$	−26.7895	−	4.72371i	−1.02208	−	0.180221i
$688$	−2.11039	+	11.9686i	−0.0804579	+	0.456299i
$689$	−31.9635	+	18.4541i	−1.21771	+	0.703046i
$690$	−5.35177	−	8.84004i	−0.203738	−	0.336535i
$691$	−1.09642	+	0.399066i	−0.0417100	+	0.0151812i	−0.362791	−	0.931871i	$-0.618176\pi$
$691$	−1.09642	+	0.399066i	−0.0417100	+	0.0151812i	0.321081	+	0.947052i	$0.395954\pi$
$692$	−14.5764	−	8.41571i	−0.554113	−	0.319917i
$693$	3.66039	−	2.11333i	0.139047	−	0.0802786i
$694$	−8.76316	−	7.35316i	−0.332645	−	0.279122i
$695$	−29.1971	+	36.3018i	−1.10751	+	1.37701i
$696$	2.10175	+	11.9196i	0.0796665	+	0.451811i
$697$	29.1880			1.10557
$698$	−0.215685	−	1.22321i	−0.00816381	−	0.0462993i
$699$	12.7309	−	10.6825i	0.481528	−	0.404050i
$700$	4.74551	−	6.15805i	0.179363	−	0.232752i
$701$	17.2072	+	47.2764i	0.649907	+	1.78560i	0.618085	+	0.786111i	$0.287909\pi$
$701$	17.2072	+	47.2764i	0.649907	+	1.78560i	0.0318214	+	0.999494i	$0.489869\pi$
$702$			20.9580i			0.791007i
$703$	−0.777883	+	10.9992i	−0.0293384	+	0.414843i
$704$	2.84518			0.107232
$705$	6.24922	−	1.23633i	0.235359	−	0.0465628i
$706$	−5.76237	−	2.09733i	−0.216870	−	0.0789341i
$707$	2.87781	+	3.42964i	0.108231	+	0.128985i
$708$	1.10063	+	6.24201i	0.0413644	+	0.234589i
$709$		−	40.8004i		−	1.53229i	−0.642668	−	0.766145i	$-0.722172\pi$
$709$		−	40.8004i		−	1.53229i	0.642668	−	0.766145i	$-0.277828\pi$
$710$	0.527743	+	25.3902i	0.0198058	+	0.952876i
$711$	−1.57952	−	0.911938i	−0.0592368	−	0.0342004i
$712$	3.89406	−	4.64076i	0.145936	−	0.173920i
$713$	−24.0946	+	13.9110i	−0.902348	+	0.520971i
$714$	−7.98816	+	13.8359i	−0.298949	+	0.517795i
$715$	−23.1266	+	4.57531i	−0.864887	+	0.171107i
$716$	9.60983	+	11.4526i	0.359136	+	0.428002i
$717$	4.16328	+	7.21102i	0.155481	+	0.269301i
$718$	4.47064	−	25.3542i	0.166843	−	0.946212i
$719$	−0.596860	+	3.38496i	−0.0222591	+	0.126238i	−0.993913	−	0.110172i	$-0.964860\pi$
$719$	−0.596860	+	3.38496i	−0.0222591	+	0.126238i	0.971653	+	0.236410i	$0.0759709\pi$
$720$	−1.40694	−	1.60765i	−0.0524334	−	0.0599138i
$721$	−5.37776	+	14.7753i	−0.200278	+	0.550260i
$722$	−14.7662	−	5.37445i	−0.549541	−	0.200016i
$723$	24.9492	+	20.9349i	0.927872	+	0.778577i
$724$	0.0606506	−	0.343967i	0.00225406	−	0.0127834i
$725$	37.5005	+	19.6202i	1.39273	+	0.728677i
$726$	3.59725	−	2.07687i	0.133507	−	0.0770800i
$727$	1.95706	−	1.64217i	0.0725835	−	0.0609048i	−0.605774	−	0.795637i	$-0.707136\pi$
$727$	1.95706	−	1.64217i	0.0725835	−	0.0609048i	0.678358	+	0.734732i	$0.262692\pi$
$728$	1.97062	+	5.41424i	0.0730361	+	0.200665i
$729$	14.6249	−	25.3310i	0.541662	−	0.938186i
$730$	17.5954	−	6.82154i	0.651236	−	0.252477i
$731$	−66.8994	−	56.1353i	−2.47436	−	2.07624i
$732$	−2.82557	+	4.89403i	−0.104436	+	0.180888i
$733$	35.5979	−	6.27687i	1.31484	−	0.231842i	0.528129	−	0.849164i	$-0.322894\pi$
$733$	35.5979	−	6.27687i	1.31484	−	0.231842i	0.786710	+	0.617323i	$0.211783\pi$
$734$		−	3.87393i		−	0.142989i
$735$	−14.6481	+	0.304466i	−0.540304	+	0.0112304i
$736$	−2.47586	+	2.07749i	−0.0912615	+	0.0765775i
$737$	2.47580	−	6.80220i	0.0911972	−	0.250562i
$738$	−3.64673	+	1.32730i	−0.134238	+	0.0488586i
$739$	−40.8122			−1.50130			−0.750651	−	0.660698i	$-0.770260\pi$
$739$	−40.8122			−1.50130			−0.750651	+	0.660698i	$0.770260\pi$
$740$	−11.4259	−	7.37892i	−0.420025	−	0.271254i
$741$	9.60509			0.352852
$742$	14.5530	−	5.29686i	0.534257	−	0.194454i
$743$	15.4832	−	42.5398i	0.568025	−	1.56064i	−0.239558	−	0.970882i	$-0.577003\pi$
$743$	15.4832	−	42.5398i	0.568025	−	1.56064i	0.807583	−	0.589754i	$-0.200775\pi$
$744$	9.42916	−	7.91201i	0.345690	−	0.290068i
$745$	−0.852022	−	40.9915i	−0.0312157	−	1.50181i
$746$		−	27.5123i		−	1.00730i
$747$	8.29662	−	1.46292i	0.303557	−	0.0535254i
$748$	−10.2225	+	17.7058i	−0.373771	+	0.647390i
$749$	−23.3499	−	19.5929i	−0.853185	−	0.715907i
$750$	15.9556	−	0.996076i	0.582617	−	0.0363715i
$751$	−11.4645	+	19.8570i	−0.418344	+	0.724593i	−0.995773	−	0.0918480i	$-0.970723\pi$
$751$	−11.4645	+	19.8570i	−0.418344	+	0.724593i	0.577429	+	0.816441i	$0.304056\pi$
$752$	−0.681438	−	1.87223i	−0.0248495	−	0.0682734i
$753$	19.8175	−	16.6289i	0.722191	−	0.605990i
$754$	−27.1639	+	15.6831i	−0.989250	+	0.571144i
$755$	12.0585	−	35.4029i	0.438854	−	1.28844i
$756$	1.52708	−	8.66051i	0.0555394	−	0.314980i
$757$	−1.97917	−	1.66072i	−0.0719341	−	0.0603599i	0.606112	−	0.795380i	$-0.292728\pi$
$757$	−1.97917	−	1.66072i	−0.0719341	−	0.0603599i	−0.678046	+	0.735020i	$0.737173\pi$
$758$	−21.2292	−	7.72681i	−0.771081	−	0.280651i
$759$	4.49715	−	12.3558i	0.163236	−	0.448488i
$760$	−3.05033	+	2.66950i	−0.110647	+	0.0968328i
$761$	6.27757	−	35.6019i	0.227562	−	1.29057i	−0.630165	−	0.776461i	$-0.717013\pi$
$761$	6.27757	−	35.6019i	0.227562	−	1.29057i	0.857727	−	0.514106i	$-0.171876\pi$
$762$	−2.20898	+	12.5277i	−0.0800228	+	0.453832i
$763$	9.96274	+	17.2560i	0.360676	+	0.624708i
$764$	−11.7394	−	13.9904i	−0.424715	−	0.506156i
$765$	15.0596	−	2.97935i	0.544480	−	0.107719i
$766$	−5.59971	+	9.69898i	−0.202326	+	0.350439i
$767$	−14.2251	+	8.21285i	−0.513638	+	0.296549i
$768$	0.919117	−	1.09536i	0.0331658	−	0.0395254i
$769$	−27.2723	−	15.7457i	−0.983464	−	0.567803i	−0.0801500	−	0.996783i	$-0.525540\pi$
$769$	−27.2723	−	15.7457i	−0.983464	−	0.567803i	−0.903314	+	0.428979i	$0.858873\pi$
$770$	9.89005	−	0.205568i	0.356413	−	0.00740815i
$771$		−	9.90857i		−	0.356849i
$772$	3.63910	+	20.6384i	0.130974	+	0.742792i
$773$	16.8535	+	20.0852i	0.606179	+	0.722416i	0.978628	−	0.205637i	$-0.0659265\pi$
$773$	16.8535	+	20.0852i	0.606179	+	0.722416i	−0.372450	+	0.928052i	$0.621482\pi$
$774$	10.9111	+	3.97130i	0.392190	+	0.142746i
$775$	−1.78848	−	43.0042i	−0.0642442	−	1.54476i
$776$	−5.22977			−0.187738
$777$	−1.40299	−	13.4509i	−0.0503320	−	0.482549i
$778$			10.8871i			0.390320i
$779$	2.51839	+	6.91923i	0.0902308	+	0.247907i
$780$	−5.70946	+	10.3815i	−0.204432	+	0.371717i
$781$	−24.7536	+	20.7707i	−0.885753	+	0.743235i
$782$	−4.03291	−	22.8718i	−0.144217	−	0.817893i
$783$	47.8742			1.71088
$784$	0.795715	+	4.51273i	0.0284184	+	0.161169i
$785$	−8.04955	−	6.47415i	−0.287301	−	0.231072i
$786$	−3.32070	−	2.78640i	−0.118446	−	0.0993877i
$787$	−15.3615	+	8.86896i	−0.547578	+	0.316144i	−0.748144	−	0.663536i	$-0.769055\pi$
$787$	−15.3615	+	8.86896i	−0.547578	+	0.316144i	0.200567	+	0.979680i	$0.435722\pi$
$788$	−2.40762	−	1.39004i	−0.0857679	−	0.0495181i
$789$	17.4848	−	6.36396i	0.622476	−	0.226563i
$790$	−2.21069	−	3.65162i	−0.0786529	−	0.129919i
$791$	12.2964	−	7.09932i	0.437209	−	0.252423i
$792$	0.472030	−	2.67701i	0.0167728	−	0.0951235i
$793$	−14.4224	−	2.54306i	−0.512155	−	0.0903068i
$794$	−18.7771	+	22.3777i	−0.666374	+	0.794154i
$795$	27.9046	+	15.3465i	0.989673	+	0.544285i
$796$	6.79511	−	18.6694i	0.240846	−	0.661720i
$797$	−14.8270	−	12.4413i	−0.525198	−	0.440694i	0.341241	−	0.939976i	$-0.389153\pi$
$797$	−14.8270	−	12.4413i	−0.525198	−	0.440694i	−0.866440	+	0.499282i	$0.833597\pi$
$798$	−3.96913	−	0.699865i	−0.140506	−	0.0247750i
$799$	14.0994	+	2.48611i	0.498802	+	0.0879523i
$800$	−1.07210	−	4.88371i	−0.0379044	−	0.172665i
$801$	−3.72041	−	4.43382i	−0.131454	−	0.156661i
$802$	−2.97507	−	8.17394i	−0.105053	−	0.288632i
$803$	20.7951	+	12.0061i	0.733844	+	0.423685i
$804$	−1.81897	−	3.15056i	−0.0641503	−	0.111112i
$805$	−8.45617	+	7.40040i	−0.298041	+	0.260830i
$806$	27.6249	+	15.9492i	0.973046	+	0.561788i
$807$	1.76015	−	0.310361i	0.0619601	−	0.0109252i
$808$	2.87937			0.101296
$809$	−9.10469	+	1.60540i	−0.320104	+	0.0564430i	−0.331392	−	0.943493i	$-0.607518\pi$
$809$	−9.10469	+	1.60540i	−0.320104	+	0.0564430i	0.0112876	+	0.999936i	$0.496407\pi$
$810$	9.98688	−	6.04606i	0.350903	−	0.212437i
$811$	45.4307	+	16.5354i	1.59529	+	0.580637i	0.978455	−	0.206458i	$-0.0661936\pi$
$811$	45.4307	+	16.5354i	1.59529	+	0.580637i	0.616832	+	0.787095i	$0.288416\pi$
$812$	12.3677	−	4.50149i	0.434022	−	0.157971i
$813$			6.27908i			0.220217i
$814$	−1.79541	−	17.2132i	−0.0629292	−	0.603322i
$815$	25.6530	+	3.97553i	0.898584	+	0.139257i
$816$	3.51424	+	9.65528i	0.123023	+	0.338003i
$817$	7.53508	−	20.7025i	0.263619	−	0.724287i
$818$	−11.2316	−	13.3853i	−0.392704	−	0.468006i
$819$	5.42116	−	0.955897i	0.189431	−	0.0334017i
$820$	−8.97553	−	1.39097i	−0.313439	−	0.0485748i
$821$	−5.19984	−	29.4897i	−0.181476	−	1.02920i	−0.930401	−	0.366544i	$-0.880541\pi$
$821$	−5.19984	−	29.4897i	−0.181476	−	1.02920i	0.748925	−	0.662655i	$-0.230570\pi$
$822$	1.81061	−	3.13606i	0.0631522	−	0.109383i
$823$	20.4155	−	24.3302i	0.711639	−	0.848098i	−0.282151	−	0.959370i	$-0.591048\pi$
$823$	20.4155	−	24.3302i	0.711639	−	0.848098i	0.993790	+	0.111272i	$0.0354924\pi$
$824$	5.05618	+	8.75755i	0.176140	+	0.305084i
$825$	13.7115	+	15.0257i	0.477372	+	0.523129i
$826$	6.47669	−	2.35732i	0.225353	−	0.0820217i
$827$	−9.03005	+	7.57711i	−0.314006	+	0.263482i	−0.786145	−	0.618042i	$-0.787926\pi$
$827$	−9.03005	+	7.57711i	−0.314006	+	0.263482i	0.472140	+	0.881524i	$0.343482\pi$
$828$	1.54394	+	2.67419i	0.0536557	+	0.0929345i
$829$	−25.5364	−	4.50276i	−0.886917	−	0.156387i	−0.288412	−	0.957506i	$-0.593127\pi$
$829$	−25.5364	−	4.50276i	−0.886917	−	0.156387i	−0.598505	+	0.801119i	$0.704238\pi$
$830$	18.6643	+	6.35720i	0.647846	+	0.220662i
$831$	−2.66113	+	3.17141i	−0.0923135	+	0.110015i
$832$	3.48209	+	1.26738i	0.120720	+	0.0439384i
$833$	−30.9421	−	11.2620i	−1.07208	−	0.390205i
$834$	−19.1490	+	22.8208i	−0.663074	+	0.790221i
$835$	−5.45097	+	16.0037i	−0.188639	+	0.553829i
$836$	−5.07932	−	0.895620i	−0.175672	−	0.0309757i
$837$	−24.3434	−	42.1639i	−0.841430	−	1.45740i
$838$	1.07586	−	0.902752i	0.0371649	−	0.0311850i
$839$	−31.0789	+	11.3118i	−1.07296	+	0.390527i	−0.817284	−	0.576235i	$-0.804521\pi$
$839$	−31.0789	+	11.3118i	−1.07296	+	0.390527i	−0.255680	+	0.966762i	$0.582299\pi$
$840$	3.11577	−	3.87396i	0.107504	−	0.133664i
$841$	21.3248	+	36.9357i	0.735338	+	1.27364i
$842$	16.1221	−	19.2136i	0.555605	−	0.662144i
$843$	−11.0064	+	19.0636i	−0.379080	+	0.656586i
$844$	0.0852117	+	0.483260i	0.00293311	+	0.0166345i
$845$	−1.61573	−	0.250396i	−0.0555829	−	0.00861389i
$846$	−1.87463	+	0.330547i	−0.0644510	+	0.0113644i
$847$	−2.90337	−	3.46010i	−0.0997608	−	0.118890i
$848$	3.40660	−	9.35955i	0.116983	−	0.321408i
$849$	7.10046	+	19.5084i	0.243687	+	0.669525i
$850$	34.2437	+	10.8749i	1.17455	+	0.373007i
$851$	14.1311	+	13.6678i	0.484407	+	0.468528i
$852$			16.2397i			0.556362i
$853$	14.8637	−	5.40995i	0.508924	−	0.185233i	−0.0747793	−	0.997200i	$-0.523825\pi$
$853$	14.8637	−	5.40995i	0.508924	−	0.185233i	0.583704	+	0.811967i	$0.301603\pi$
$854$	5.77452	+	2.10175i	0.197600	+	0.0719205i
$855$	2.00565	+	3.31292i	0.0685916	+	0.113300i
$856$	−19.3056	+	3.40411i	−0.659853	+	0.116350i
$857$	53.0234			1.81125			0.905623	−	0.424084i	$-0.139404\pi$
$857$	53.0234			1.81125			0.905623	+	0.424084i	$0.139404\pi$
$858$	−14.8463	+	2.61781i	−0.506845	+	0.0893705i
$859$	−24.7707	−	14.3014i	−0.845167	−	0.487957i	0.0138504	−	0.999904i	$-0.495591\pi$
$859$	−24.7707	−	14.3014i	−0.845167	−	0.487957i	−0.859017	+	0.511947i	$0.828924\pi$
$860$	17.8969	+	20.4501i	0.610280	+	0.697344i
$861$	−4.51543	−	7.82095i	−0.153885	−	0.266537i
$862$	−24.2368	−	13.9931i	−0.825509	−	0.476608i
$863$	−9.76075	−	26.8175i	−0.332260	−	0.912877i	−0.987523	−	0.157476i	$-0.949664\pi$
$863$	−9.76075	−	26.8175i	−0.332260	−	0.912877i	0.655263	−	0.755401i	$-0.272558\pi$
$864$	−3.63548	−	4.33260i	−0.123682	−	0.147398i
$865$	−35.0913	+	13.6045i	−1.19314	+	0.462567i
$866$	−15.6080	−	2.75211i	−0.530381	−	0.0935205i
$867$	−48.7732	−	8.60003i	−1.65643	−	0.292072i
$868$	−10.2534	−	8.60361i	−0.348023	−	0.292026i
$869$	1.85767	−	5.10390i	0.0630171	−	0.173138i
$870$	23.7144	+	13.0421i	0.803995	+	0.442169i
$871$	6.06003	−	7.22207i	0.205336	−	0.244710i
$872$	12.6201	+	2.22527i	0.427371	+	0.0753570i
$873$	−0.867644	+	4.92065i	−0.0293653	+	0.166539i
$874$	5.07395	−	2.92945i	0.171629	−	0.0990901i
$875$	−4.07954	−	16.8987i	−0.137914	−	0.571279i
$876$	11.3399	−	4.12739i	0.383140	−	0.139452i
$877$	36.7979	+	21.2453i	1.24258	+	0.717401i	0.969618	−	0.244625i	$-0.0786647\pi$
$877$	36.7979	+	21.2453i	1.24258	+	0.717401i	0.272958	+	0.962026i	$0.411998\pi$
$878$	2.97088	−	1.71524i	0.100262	−	0.0578866i
$879$	23.1715	+	19.4432i	0.781554	+	0.655802i
$880$	3.98727	−	4.95752i	0.134411	−	0.167118i
$881$	3.49578	+	19.8256i	0.117776	+	0.667941i	0.985338	+	0.170612i	$0.0545745\pi$
$881$	3.49578	+	19.8256i	0.117776	+	0.667941i	−0.867562	+	0.497329i	$0.834314\pi$
$882$	4.37801			0.147415
$883$	−2.40063	−	13.6146i	−0.0807876	−	0.458169i	−0.998186	−	0.0602000i	$-0.980826\pi$
$883$	−2.40063	−	13.6146i	−0.0807876	−	0.458169i	0.917399	−	0.397969i	$-0.130285\pi$
$884$	−20.3978	+	17.1158i	−0.686054	+	0.575667i
$885$	12.4187	+	6.82984i	0.417449	+	0.229583i
$886$	−5.63477	−	15.4814i	−0.189304	−	0.520108i
$887$		−	43.7708i		−	1.46968i	−0.678241	−	0.734840i	$-0.737257\pi$
$887$		−	43.7708i		−	1.46968i	0.678241	−	0.734840i	$-0.262743\pi$
$888$	−7.20687	−	4.86939i	−0.241847	−	0.163406i
$889$	13.8330			0.463943
$890$	−2.62900	−	13.2887i	−0.0881244	−	0.445438i
$891$	13.9588	+	5.08058i	0.467636	+	0.170206i
$892$	2.72884	+	3.25211i	0.0913684	+	0.108889i
$893$	0.627174	+	3.55688i	0.0209876	+	0.119027i
$894$		−	26.2184i		−	0.876875i
$895$	33.4225	−	0.694698i	1.11719	−	0.0232212i
$896$	−1.34657	−	0.777441i	−0.0449857	−	0.0259725i
$897$	11.0077	−	13.1185i	0.367537	−	0.438014i
$898$	−11.0242	+	6.36484i	−0.367883	+	0.212397i
$899$	36.4328	−	63.1035i	1.21510	−	2.10462i
$900$	−4.77292	+	0.198499i	−0.159097	+	0.00661663i
$901$	46.0058	+	54.8276i	1.53268	+	1.82657i
$902$	−5.77841	−	10.0085i	−0.192400	−	0.333247i
$903$	−4.69206	+	26.6100i	−0.156142	+	0.885525i
$904$	1.58569	−	8.99292i	0.0527394	−	0.299100i
$905$	−0.514340	−	0.587718i	−0.0170973	−	0.0195364i
$906$	8.17981	−	22.4738i	0.271756	−	0.746644i
$907$	16.9851	+	6.18209i	0.563982	+	0.205273i	0.608248	−	0.793747i	$-0.291873\pi$
$907$	16.9851	+	6.18209i	0.563982	+	0.205273i	−0.0442657	+	0.999020i	$0.514095\pi$
$908$	3.58929	+	3.01177i	0.119115	+	0.0999491i
$909$	0.477701	−	2.70918i	0.0158443	−	0.0898577i
$910$	12.1956	+	4.15391i	0.404279	+	0.137701i
$911$	22.9505	−	13.2505i	0.760382	−	0.439007i	−0.0690506	−	0.997613i	$-0.521997\pi$
$911$	22.9505	−	13.2505i	0.760382	−	0.439007i	0.829433	+	0.558606i	$0.188664\pi$
$912$	−1.98564	+	1.66615i	−0.0657512	+	0.0551718i
$913$	8.58069	+	23.5753i	0.283980	+	0.780227i
$914$	17.4651	−	30.2504i	0.577694	−	1.00059i
$915$	4.56770	+	11.7819i	0.151004	+	0.389497i
$916$	14.5735	+	12.2286i	0.481522	+	0.404045i
$917$	−2.35690	+	4.08226i	−0.0778316	+	0.134808i
$918$	40.0241	−	7.05734i	1.32099	−	0.232927i
$919$		−	12.1788i		−	0.401742i	−0.979618	−	0.200871i	$-0.935623\pi$
$919$		−	12.1788i		−	0.401742i	0.979618	−	0.200871i	$-0.0643773\pi$
$920$	0.150183	+	7.22543i	0.00495138	+	0.238215i
$921$	12.1147	−	10.1654i	0.399192	−	0.334962i
$922$	−0.349880	+	0.961286i	−0.0115227	+	0.0316583i
$923$	−39.5471	+	14.3940i	−1.30171	+	0.473783i
$924$	6.32573			0.208101
$925$	−28.8696	+	9.56793i	−0.949227	+	0.314592i
$926$	−5.95078			−0.195555
$927$	9.07877	−	3.30440i	0.298186	−	0.108531i
$928$	2.89507	−	7.95413i	0.0950352	−	0.261107i
$929$	29.5408	−	24.7876i	0.969201	−	0.813256i	−0.0132242	−	0.999913i	$-0.504210\pi$
$929$	29.5408	−	24.7876i	0.969201	−	0.813256i	0.982425	+	0.186656i	$0.0597651\pi$
$930$	−0.571962	−	27.5176i	−0.0187554	−	0.902337i
$931$		−	8.30675i		−	0.272243i
$932$	−11.4460	+	2.01824i	−0.374927	+	0.0661097i
$933$	2.33676	−	4.04739i	0.0765022	−	0.132506i
$934$	2.94356	+	2.46994i	0.0963162	+	0.0808189i
$935$	16.5252	+	42.6251i	0.540433	+	1.39399i
$936$	1.77016	−	3.06601i	0.0578596	−	0.100216i
$937$	−14.4650	−	39.7422i	−0.472550	−	1.29832i	−0.915696	−	0.401872i	$-0.868360\pi$
$937$	−14.4650	−	39.7422i	−0.472550	−	1.29832i	0.443145	−	0.896450i	$-0.353863\pi$
$938$	−3.03043	+	2.54284i	−0.0989471	+	0.0830265i
$939$	−24.9041	+	14.3784i	−0.812714	+	0.469221i
$940$	−4.21720	−	1.43641i	−0.137550	−	0.0468507i
$941$	−1.18842	+	6.73986i	−0.0387414	+	0.219713i	−0.998032	−	0.0627078i	$-0.980026\pi$
$941$	−1.18842	+	6.73986i	−0.0387414	+	0.219713i	0.959291	+	0.282421i	$0.0911375\pi$
$942$	−5.06028	−	4.24608i	−0.164873	−	0.138345i
$943$	12.3363	+	4.49006i	0.401727	+	0.146217i
$944$	1.51608	−	4.16539i	0.0493441	−	0.135572i
$945$	−12.9502	−	14.7978i	−0.421271	−	0.481371i
$946$	−6.00444	+	34.0529i	−0.195221	+	1.10716i
$947$	−0.727348	+	4.12499i	−0.0236356	+	0.134044i	−0.994342	−	0.106223i	$-0.966124\pi$
$947$	−0.727348	+	4.12499i	−0.0236356	+	0.134044i	0.970707	+	0.240268i	$0.0772352\pi$
$948$	−1.36483	−	2.36396i	−0.0443277	−	0.0767779i
$949$	20.1021	+	23.9568i	0.652543	+	0.777671i
$950$	0.376628	+	9.05604i	0.0122194	+	0.293817i
$951$	−4.12088	+	7.13757i	−0.133629	+	0.231451i
$952$	9.67618	−	5.58655i	0.313607	−	0.181061i
$953$	−27.3583	+	32.6044i	−0.886224	+	1.05616i	0.111825	+	0.993728i	$0.464330\pi$
$953$	−27.3583	+	32.6044i	−0.886224	+	1.05616i	−0.998049	+	0.0624326i	$0.980114\pi$
$954$	−8.24117	−	4.75804i	−0.266818	−	0.154047i
$955$	−40.8290	+	0.848643i	−1.32119	+	0.0274614i
$956$		−	5.82321i		−	0.188336i
$957$	5.97985	+	33.9134i	0.193301	+	1.09627i
$958$	−23.8815	−	28.4609i	−0.771578	−	0.919531i
$959$	−3.70028	−	1.34679i	−0.119488	−	0.0434901i
$960$	−0.620526	−	3.13654i	−0.0200274	−	0.101232i
$961$	−43.1023			−1.39040
$962$	5.47023	−	21.8662i	0.176367	−	0.704995i
$963$			18.7293i			0.603544i
$964$	−7.79025	−	21.4035i	−0.250907	−	0.689362i
$965$	41.0607	+	22.5820i	1.32179	+	0.726940i
$966$	−5.50462	+	4.61892i	−0.177108	+	0.148611i
$967$	−3.09246	−	17.5382i	−0.0994469	−	0.563992i	−0.993294	−	0.115619i	$-0.963115\pi$
$967$	−3.09246	−	17.5382i	−0.0994469	−	0.563992i	0.893847	−	0.448373i	$-0.147996\pi$
$968$	−2.90494			−0.0933683
$969$	−3.23440	−	18.3432i	−0.103904	−	0.589267i
$970$	−7.32905	+	9.11249i	−0.235322	+	0.292584i
$971$	10.1367	+	8.50568i	0.325301	+	0.272960i	0.790782	−	0.612098i	$-0.209674\pi$
$971$	10.1367	+	8.50568i	0.325301	+	0.272960i	−0.465481	+	0.885058i	$0.654119\pi$
$972$	−8.22897	+	4.75100i	−0.263944	+	0.152388i
$973$	28.0545	+	16.1973i	0.899385	+	0.519260i
$974$	9.16072	−	3.33423i	0.293528	−	0.106836i
$975$	10.0877	+	24.4971i	0.323065	+	0.784534i
$976$	3.42266	−	1.97607i	0.109557	−	0.0632525i
$977$	−3.73775	+	21.1978i	−0.119581	+	0.678178i	0.864799	+	0.502119i	$0.167446\pi$
$977$	−3.73775	+	21.1978i	−0.119581	+	0.678178i	−0.984380	+	0.176059i	$0.943665\pi$
$978$	16.3479	+	2.88257i	0.522747	+	0.0921744i
$979$	11.0793	−	13.2038i	0.354096	−	0.421995i
$980$	8.97822	+	4.93771i	0.286799	+	0.157729i
$981$	4.18748	−	11.5050i	0.133696	−	0.367326i
$982$	29.6527	+	24.8815i	0.946254	+	0.794002i
$983$	1.60950	+	0.283799i	0.0513351	+	0.00905177i	0.199257	−	0.979947i	$-0.436147\pi$
$983$	1.60950	+	0.283799i	0.0513351	+	0.00905177i	−0.147922	+	0.988999i	$0.547258\pi$
$984$	−5.71983	−	1.00856i	−0.182342	−	0.0321517i
$985$	−5.79610	+	2.24708i	−0.184679	+	0.0715980i
$986$	39.0976	+	46.5947i	1.24512	+	1.48388i
$987$	−1.51505	−	4.16256i	−0.0482245	−	0.132496i
$988$	−5.81740	−	3.35867i	−0.185076	−	0.106854i
$989$	−19.6397	−	34.0170i	−0.624506	−	1.08168i
$990$	−4.00299	−	4.57407i	−0.127223	−	0.145374i
$991$	−20.8923	−	12.0622i	−0.663666	−	0.383168i	0.130007	−	0.991513i	$-0.458500\pi$
$991$	−20.8923	−	12.0622i	−0.663666	−	0.383168i	−0.793672	+	0.608346i	$0.791834\pi$
$992$	−8.47749	+	1.49481i	−0.269161	+	0.0474603i
$993$	−8.29620			−0.263272
$994$	17.3909	−	3.06649i	0.551607	−	0.0972632i
$995$	−23.0073	−	38.0035i	−0.729382	−	1.20479i
$996$	11.8481	+	4.31237i	0.375422	+	0.136643i
$997$	−20.7571	+	7.55498i	−0.657385	+	0.239269i	−0.649107	−	0.760697i	$-0.724857\pi$
$997$	−20.7571	+	7.55498i	−0.657385	+	0.239269i	−0.00827830	+	0.999966i	$0.502635\pi$
$998$			34.0336i			1.07731i
$999$	−23.9179	+	24.7285i	−0.756727	+	0.782375i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.v.a.289.4	yes	60
5.4	even	2		370.2.v.b.289.7	yes	60
37.21	even	18		370.2.v.b.169.7	yes	60
185.169	even	18	inner	370.2.v.a.169.4	✓	60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.v.a.169.4	✓	60	185.169	even	18	inner
370.2.v.a.289.4	yes	60	1.1	even	1	trivial
370.2.v.b.169.7	yes	60	37.21	even	18
370.2.v.b.289.7	yes	60	5.4	even	2

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.v (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.489052 + 1.34366i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0464674 - 2.23559i) q^{5} -1.42989i q^{6} +(-1.53126 + 0.270002i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.731885 + 0.614125i) q^{9} +O(q^{10})\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.489052 + 1.34366i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0464674 - 2.23559i) q^{5} -1.42989i q^{6} +(-1.53126 + 0.270002i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.731885 + 0.614125i) q^{9} +(0.808280 + 2.08487i) q^{10} +(-1.42259 + 2.46400i) q^{11} +(0.489052 + 1.34366i) q^{12} +(-2.83863 + 2.38189i) q^{13} +(1.34657 - 0.777441i) q^{14} +(3.02659 + 1.03088i) q^{15} +(0.173648 - 0.984808i) q^{16} +(5.50465 + 4.61895i) q^{17} +(-0.897790 - 0.326769i) q^{18} +(-0.620005 + 1.70345i) q^{19} +(-1.47260 - 1.68269i) q^{20} +(0.386074 - 2.18954i) q^{21} +(0.494061 - 2.80196i) q^{22} +(1.61600 + 2.79900i) q^{23} +(-0.919117 - 1.09536i) q^{24} +(-4.99568 + 0.207763i) q^{25} +(1.85278 - 3.20911i) q^{26} +(-4.89807 + 2.82790i) q^{27} +(-0.999459 + 1.19111i) q^{28} +(-7.33057 - 4.23230i) q^{29} +(-3.19665 + 0.0664433i) q^{30} +8.60827i q^{31} +(0.173648 + 0.984808i) q^{32} +(-2.61506 - 3.11650i) q^{33} +(-6.75246 - 2.45769i) q^{34} +(0.674767 + 3.41072i) q^{35} +0.955408 q^{36} +(5.84845 - 1.67201i) q^{37} -1.81277i q^{38} +(-1.81221 - 4.97901i) q^{39} +(1.95931 + 1.07755i) q^{40} +(3.11159 - 2.61093i) q^{41} +(0.386074 + 2.18954i) q^{42} -12.1533 q^{43} +(0.494061 + 2.80196i) q^{44} +(1.33892 - 1.66473i) q^{45} +(-2.47586 - 2.07749i) q^{46} +(1.72546 - 0.996195i) q^{47} +(1.23832 + 0.714946i) q^{48} +(-4.30599 + 1.56725i) q^{49} +(4.62335 - 1.90386i) q^{50} +(-8.89836 + 5.13747i) q^{51} +(-0.643464 + 3.64927i) q^{52} +(9.80891 + 1.72958i) q^{53} +(3.63548 - 4.33260i) q^{54} +(5.57459 + 3.06583i) q^{55} +(0.531801 - 1.46111i) q^{56} +(-1.98564 - 1.66615i) q^{57} +(8.33601 + 1.46986i) q^{58} +(4.36537 + 0.769733i) q^{59} +(2.98114 - 1.15575i) q^{60} +(2.54039 + 3.02752i) q^{61} +(-2.94420 - 8.08913i) q^{62} +(-1.28652 - 0.742773i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.45682 + 6.23531i) q^{65} +(3.52325 + 2.03415i) q^{66} +(-2.50556 + 0.441798i) q^{67} +7.18581 q^{68} +(-4.55121 + 0.802502i) q^{69} +(-1.80061 - 2.97424i) q^{70} +(10.6723 + 3.88442i) q^{71} +(-0.897790 + 0.326769i) q^{72} -8.43957i q^{73} +(-4.92389 + 3.57146i) q^{74} +(2.16398 - 6.81410i) q^{75} +(0.620005 + 1.70345i) q^{76} +(1.51307 - 4.15713i) q^{77} +(3.40585 + 4.05893i) q^{78} +(-1.88000 + 0.331495i) q^{79} +(-2.20969 - 0.342444i) q^{80} +(-0.906612 - 5.14165i) q^{81} +(-2.03095 + 3.51770i) q^{82} +(5.66798 - 6.75483i) q^{83} +(-1.11166 - 1.92545i) q^{84} +(10.0703 - 12.5207i) q^{85} +(11.4203 - 4.15666i) q^{86} +(9.27180 - 7.77997i) q^{87} +(-1.42259 - 2.46400i) q^{88} +(-5.96604 - 1.05197i) q^{89} +(-0.688802 + 2.02227i) q^{90} +(3.70356 - 4.41373i) q^{91} +(3.03709 + 1.10541i) q^{92} +(-11.5666 - 4.20989i) q^{93} +(-1.28068 + 1.52626i) q^{94} +(3.83702 + 1.30692i) q^{95} +(-1.40817 - 0.248298i) q^{96} +(2.61488 + 4.52911i) q^{97} +(3.51028 - 2.94547i) q^{98} +(-2.55438 + 0.929717i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9	\( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) 60 * q - 3 * q^5 - 30 * q^8 - 6 * q^9 + 9 * q^10 + 6 * q^11 - 3 * q^13 + 9 * q^14 + 18 * q^15 + 3 * q^17 + 12 * q^18 + 3 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 18 * q^23 - 15 * q^25 - 27 * q^26 + 6 * q^30 - 66 * q^33 + 21 * q^34 - 3 * q^35 - 72 * q^36 + 6 * q^37 + 12 * q^39 + 6 * q^40 - 57 * q^41 + 12 * q^42 + 60 * q^43 - 3 * q^44 + 45 * q^45 - 21 * q^46 - 18 * q^47 - 6 * q^49 + 36 * q^50 - 3 * q^52 - 6 * q^53 + 3 * q^55 + 30 * q^57 + 15 * q^58 - 12 * q^59 + 9 * q^60 + 42 * q^61 - 12 * q^62 - 9 * q^63 - 30 * q^64 - 30 * q^65 - 18 * q^67 - 24 * q^68 + 36 * q^69 + 18 * q^71 + 12 * q^72 + 3 * q^74 - 78 * q^75 - 3 * q^76 + 21 * q^77 + 6 * q^78 - 24 * q^79 - 36 * q^81 + 27 * q^82 + 30 * q^83 + 12 * q^84 + 33 * q^85 - 18 * q^86 - 30 * q^87 + 6 * q^88 + 3 * q^89 - 3 * q^90 + 57 * q^91 + 15 * q^92 + 60 * q^93 + 3 * q^94 - 150 * q^95 + 84 * q^97 - 6 * q^98 - 45 * q^99

Introduction

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