LMFDB - Embedded newform 300.2.w.a.67.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(67,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 0, 13]))

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

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

chi := DirichletCharacter("300.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.w (of order $20$, degree $8$, 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:	$2.39551206064$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			67.3
Character	$\chi$	$=$	300.67
Dual form			300.2.w.a.103.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.37682 - 0.323077i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.79124 + 0.889636i) q^{4} +(-2.11409 + 0.728446i) q^{5} +(-1.30932 - 0.534481i) q^{6} +(0.284106 - 0.284106i) q^{7} +(-2.17879 - 1.80357i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-1.37682 - 0.323077i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.79124 + 0.889636i) q^{4} +(-2.11409 + 0.728446i) q^{5} +(-1.30932 - 0.534481i) q^{6} +(0.284106 - 0.284106i) q^{7} +(-2.17879 - 1.80357i) q^{8} +(0.951057 + 0.309017i) q^{9} +(3.14605 - 0.319922i) q^{10} +(4.58935 - 1.49117i) q^{11} +(1.63002 + 1.15890i) q^{12} +(2.80753 + 5.51008i) q^{13} +(-0.482950 + 0.299374i) q^{14} +(-2.20201 + 0.388762i) q^{15} +(2.41710 + 3.18711i) q^{16} +(-0.127955 - 0.807879i) q^{17} +(-1.20959 - 0.732724i) q^{18} +(1.06893 + 0.776624i) q^{19} +(-4.43489 - 0.575946i) q^{20} +(0.325052 - 0.236164i) q^{21} +(-6.80045 + 0.570350i) q^{22} +(-2.81503 + 5.52481i) q^{23} +(-1.86982 - 2.12221i) q^{24} +(3.93873 - 3.08000i) q^{25} +(-2.08526 - 8.49341i) q^{26} +(0.891007 + 0.453990i) q^{27} +(0.761654 - 0.256152i) q^{28} +(4.62807 + 6.37000i) q^{29} +(3.15737 + 0.176168i) q^{30} +(1.92954 - 2.65579i) q^{31} +(-2.29821 - 5.16897i) q^{32} +(4.76612 - 0.754879i) q^{33} +(-0.0848364 + 1.15364i) q^{34} +(-0.393669 + 0.807582i) q^{35} +(1.42866 + 1.39962i) q^{36} +(4.49965 - 2.29269i) q^{37} +(-1.22081 - 1.41461i) q^{38} +(1.91099 + 5.88144i) q^{39} +(5.91996 + 2.22579i) q^{40} +(0.177400 - 0.545980i) q^{41} +(-0.523837 + 0.220138i) q^{42} +(-8.22849 - 8.22849i) q^{43} +(9.54723 + 1.41180i) q^{44} +(-2.23572 + 0.0395044i) q^{45} +(5.66072 - 6.69717i) q^{46} +(-0.342542 + 2.16273i) q^{47} +(1.88876 + 3.52599i) q^{48} +6.83857i q^{49} +(-6.41799 + 2.96807i) q^{50} -0.817949i q^{51} +(0.126992 + 12.3676i) q^{52} +(0.486296 - 3.07035i) q^{53} +(-1.08008 - 0.912925i) q^{54} +(-8.61605 + 6.49556i) q^{55} +(-1.13141 + 0.106600i) q^{56} +(0.934280 + 0.934280i) q^{57} +(-4.31400 - 10.2655i) q^{58} +(2.94306 - 9.05779i) q^{59} +(-4.29020 - 1.26263i) q^{60} +(-3.92536 - 12.0810i) q^{61} +(-3.51465 + 3.03314i) q^{62} +(0.357995 - 0.182407i) q^{63} +(1.49424 + 7.85921i) q^{64} +(-9.94915 - 9.60366i) q^{65} +(-6.80595 - 0.500496i) q^{66} +(-10.4974 + 1.66262i) q^{67} +(0.489519 - 1.56094i) q^{68} +(-3.64464 + 5.01642i) q^{69} +(0.802922 - 0.984705i) q^{70} +(0.421456 + 0.580085i) q^{71} +(-1.51482 - 2.38858i) q^{72} +(-0.125834 - 0.0641158i) q^{73} +(-6.93590 + 1.70287i) q^{74} +(4.37206 - 2.42592i) q^{75} +(1.22380 + 2.34208i) q^{76} +(0.880212 - 1.72751i) q^{77} +(-0.730927 - 8.71505i) q^{78} +(-0.419915 + 0.305086i) q^{79} +(-7.43159 - 4.97710i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-0.420640 + 0.694399i) q^{82} +(-0.432904 - 2.73325i) q^{83} +(0.792348 - 0.133849i) q^{84} +(0.859005 + 1.61472i) q^{85} +(8.67067 + 13.9875i) q^{86} +(3.57461 + 7.01556i) q^{87} +(-12.6887 - 5.02829i) q^{88} +(-11.2762 + 3.66387i) q^{89} +(3.09094 + 0.667920i) q^{90} +(2.36308 + 0.767813i) q^{91} +(-9.95747 + 7.39192i) q^{92} +(2.32124 - 2.32124i) q^{93} +(1.17035 - 2.86701i) q^{94} +(-2.82554 - 0.863192i) q^{95} +(-1.46131 - 5.46485i) q^{96} +(-9.56179 - 1.51444i) q^{97} +(2.20939 - 9.41545i) q^{98} +4.82553 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q + 12 q^{8}+O(q^{10}) $ 240 * q + 12 * q^8	$ 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) $ 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/300\mathbb{Z}\right)^\times$.

$n$	$101$	$151$	$277$
$\chi(n)$	$1$	$-1$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−1.37682	−	0.323077i	−0.973556	−	0.228450i
$2$	−1.37682	−	0.323077i	−0.973556	−	0.228450i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$3$	0.987688	+	0.156434i	0.570242	+	0.0903175i
$4$	1.79124	+	0.889636i	0.895621	+	0.444818i
$5$	−2.11409	+	0.728446i	−0.945449	+	0.325771i
$5$	−2.11409	+	0.728446i	−0.945449	+	0.325771i
$6$	−1.30932	−	0.534481i	−0.534529	−	0.218201i
$7$	0.284106	−	0.284106i	0.107382	−	0.107382i	−0.651374	−	0.758756i	$-0.725807\pi$
$7$	0.284106	−	0.284106i	0.107382	−	0.107382i	0.758756	+	0.651374i	$0.225807\pi$
$8$	−2.17879	−	1.80357i	−0.770318	−	0.637660i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	3.14605	−	0.319922i	0.994869	−	0.101168i
$11$	4.58935	−	1.49117i	1.38374	−	0.449605i	0.479843	−	0.877354i	$-0.340694\pi$
$11$	4.58935	−	1.49117i	1.38374	−	0.449605i	0.903897	+	0.427750i	$0.140694\pi$
$12$	1.63002	+	1.15890i	0.470546	+	0.334544i
$13$	2.80753	+	5.51008i	0.778668	+	1.52822i	0.847621	+	0.530602i	$0.178034\pi$
$13$	2.80753	+	5.51008i	0.778668	+	1.52822i	−0.0689536	+	0.997620i	$0.521966\pi$
$14$	−0.482950	+	0.299374i	−0.129074	+	0.0800109i
$15$	−2.20201	+	0.388762i	−0.568558	+	0.100378i
$16$	2.41710	+	3.18711i	0.604274	+	0.796777i
$17$	−0.127955	−	0.807879i	−0.0310338	−	0.195939i	0.967301	−	0.253633i	$-0.0816255\pi$
$17$	−0.127955	−	0.807879i	−0.0310338	−	0.195939i	−0.998334	+	0.0576933i	$0.981625\pi$
$18$	−1.20959	−	0.732724i	−0.285104	−	0.172705i
$19$	1.06893	+	0.776624i	0.245230	+	0.178170i	0.703610	−	0.710586i	$-0.251570\pi$
$19$	1.06893	+	0.776624i	0.245230	+	0.178170i	−0.458380	+	0.888756i	$0.651570\pi$
$20$	−4.43489	−	0.575946i	−0.991672	−	0.128785i
$21$	0.325052	−	0.236164i	0.0709323	−	0.0515353i
$22$	−6.80045	+	0.570350i	−1.44986	+	0.121599i
$23$	−2.81503	+	5.52481i	−0.586974	+	1.15200i	0.386303	+	0.922372i	$0.373752\pi$
$23$	−2.81503	+	5.52481i	−0.586974	+	1.15200i	−0.973278	+	0.229630i	$0.926248\pi$
$24$	−1.86982	−	2.12221i	−0.381676	−	0.433194i
$25$	3.93873	−	3.08000i	0.787747	−	0.616000i
$26$	−2.08526	−	8.49341i	−0.408954	−	1.66570i
$27$	0.891007	+	0.453990i	0.171474	+	0.0873705i
$28$	0.761654	−	0.256152i	0.143939	−	0.0484081i
$29$	4.62807	+	6.37000i	0.859412	+	1.18288i	0.981709	+	0.190385i	$0.0609737\pi$
$29$	4.62807	+	6.37000i	0.859412	+	1.18288i	−0.122298	+	0.992493i	$0.539026\pi$
$30$	3.15737	+	0.176168i	0.576454	+	0.0321638i
$31$	1.92954	−	2.65579i	0.346556	−	0.476994i	−0.599786	−	0.800161i	$-0.704748\pi$
$31$	1.92954	−	2.65579i	0.346556	−	0.476994i	0.946342	+	0.323167i	$0.104748\pi$
$32$	−2.29821	−	5.16897i	−0.406270	−	0.913753i
$33$	4.76612	−	0.754879i	0.829674	−	0.131408i
$34$	−0.0848364	+	1.15364i	−0.0145493	+	0.197848i
$35$	−0.393669	+	0.807582i	−0.0665423	+	0.136506i
$36$	1.42866	+	1.39962i	0.238110	+	0.233270i
$37$	4.49965	−	2.29269i	0.739738	−	0.376915i	−0.0431579	−	0.999068i	$-0.513742\pi$
$37$	4.49965	−	2.29269i	0.739738	−	0.376915i	0.782896	+	0.622153i	$0.213742\pi$
$38$	−1.22081	−	1.41461i	−0.198042	−	0.229481i
$39$	1.91099	+	5.88144i	0.306004	+	0.941784i
$40$	5.91996	+	2.22579i	0.936027	+	0.351928i
$41$	0.177400	−	0.545980i	0.0277051	−	0.0852677i	−0.936248	−	0.351340i	$-0.885726\pi$
$41$	0.177400	−	0.545980i	0.0277051	−	0.0852677i	0.963953	+	0.266073i	$0.0857261\pi$
$42$	−0.523837	+	0.220138i	−0.0808297	+	0.0339680i
$43$	−8.22849	−	8.22849i	−1.25483	−	1.25483i	−0.953528	−	0.301304i	$-0.902578\pi$
$43$	−8.22849	−	8.22849i	−1.25483	−	1.25483i	−0.301304	−	0.953528i	$-0.597422\pi$
$44$	9.54723	+	1.41180i	1.43930	+	0.212838i
$45$	−2.23572	+	0.0395044i	−0.333281	+	0.00588896i
$46$	5.66072	−	6.69717i	0.834627	−	0.987444i
$47$	−0.342542	+	2.16273i	−0.0499649	+	0.315466i	0.950030	+	0.312160i	$0.101052\pi$
$47$	−0.342542	+	2.16273i	−0.0499649	+	0.315466i	−0.999995	+	0.00330631i	$0.998948\pi$
$48$	1.88876	+	3.52599i	0.272619	+	0.508932i
$49$			6.83857i			0.976938i
$50$	−6.41799	+	2.96807i	−0.907640	+	0.419749i
$51$		−	0.817949i		−	0.114536i
$52$	0.126992	+	12.3676i	0.0176106	+	1.71507i
$53$	0.486296	−	3.07035i	0.0667978	−	0.421745i	−0.931516	−	0.363700i	$-0.881513\pi$
$53$	0.486296	−	3.07035i	0.0667978	−	0.421745i	0.998314	−	0.0580449i	$-0.0184867\pi$
$54$	−1.08008	−	0.912925i	−0.146980	−	0.124233i
$55$	−8.61605	+	6.49556i	−1.16179	+	0.875861i
$56$	−1.13141	+	0.106600i	−0.151192	+	0.0142451i
$57$	0.934280	+	0.934280i	0.123748	+	0.123748i
$58$	−4.31400	−	10.2655i	−0.566456	−	1.34793i
$59$	2.94306	−	9.05779i	0.383153	−	1.17922i	−0.554658	−	0.832078i	$-0.687151\pi$
$59$	2.94306	−	9.05779i	0.383153	−	1.17922i	0.937811	−	0.347146i	$-0.112849\pi$
$60$	−4.29020	−	1.26263i	−0.553862	−	0.163004i
$61$	−3.92536	−	12.0810i	−0.502590	−	1.54681i	−0.804784	−	0.593567i	$-0.797719\pi$
$61$	−3.92536	−	12.0810i	−0.502590	−	1.54681i	0.302194	−	0.953246i	$-0.402281\pi$
$62$	−3.51465	+	3.03314i	−0.446361	+	0.385209i
$63$	0.357995	−	0.182407i	0.0451031	−	0.0229812i
$64$	1.49424	+	7.85921i	0.186780	+	0.982402i
$65$	−9.94915	−	9.60366i	−1.23404	−	1.19119i
$66$	−6.80595	−	0.500496i	−0.837754	−	0.0616068i
$67$	−10.4974	+	1.66262i	−1.28246	+	0.203122i	−0.760213	−	0.649674i	$-0.774906\pi$
$67$	−10.4974	+	1.66262i	−1.28246	+	0.203122i	−0.522246	+	0.852795i	$0.674906\pi$
$68$	0.489519	−	1.56094i	0.0593629	−	0.189292i
$69$	−3.64464	+	5.01642i	−0.438763	+	0.603906i
$70$	0.802922	−	0.984705i	0.0959675	−	0.117695i
$71$	0.421456	+	0.580085i	0.0500176	+	0.0688434i	0.833293	−	0.552831i	$-0.186453\pi$
$71$	0.421456	+	0.580085i	0.0500176	+	0.0688434i	−0.783276	+	0.621675i	$0.786453\pi$
$72$	−1.51482	−	2.38858i	−0.178523	−	0.281497i
$73$	−0.125834	−	0.0641158i	−0.0147278	−	0.00750419i	0.446611	−	0.894728i	$-0.352631\pi$
$73$	−0.125834	−	0.0641158i	−0.0147278	−	0.00750419i	−0.461339	+	0.887224i	$0.652631\pi$
$74$	−6.93590	+	1.70287i	−0.806282	+	0.197955i
$75$	4.37206	−	2.42592i	0.504842	−	0.280122i
$76$	1.22380	+	2.34208i	0.140380	+	0.268655i
$77$	0.880212	−	1.72751i	0.100309	−	0.196868i
$78$	−0.730927	−	8.71505i	−0.0827612	−	0.986785i
$79$	−0.419915	+	0.305086i	−0.0472441	+	0.0343249i	−0.611157	−	0.791510i	$-0.709295\pi$
$79$	−0.419915	+	0.305086i	−0.0472441	+	0.0343249i	0.563913	+	0.825834i	$0.309295\pi$
$80$	−7.43159	−	4.97710i	−0.830877	−	0.556457i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−0.420640	+	0.694399i	−0.0464519	+	0.0766836i
$83$	−0.432904	−	2.73325i	−0.0475174	−	0.300013i	0.952472	−	0.304626i	$-0.0985315\pi$
$83$	−0.432904	−	2.73325i	−0.0475174	−	0.300013i	−0.999989	+	0.00461334i	$0.998532\pi$
$84$	0.792348	−	0.133849i	0.0864522	−	0.0146041i
$85$	0.859005	+	1.61472i	0.0931722	+	0.175141i
$86$	8.67067	+	13.9875i	0.934982	+	1.50832i
$87$	3.57461	+	7.01556i	0.383238	+	0.752147i
$88$	−12.6887	−	5.02829i	−1.35262	−	0.536017i
$89$	−11.2762	+	3.66387i	−1.19528	+	0.388369i	−0.838021	−	0.545638i	$-0.816287\pi$
$89$	−11.2762	+	3.66387i	−1.19528	+	0.388369i	−0.357255	+	0.934007i	$0.616287\pi$
$90$	3.09094	+	0.667920i	0.325813	+	0.0704050i
$91$	2.36308	+	0.767813i	0.247719	+	0.0804886i
$92$	−9.95747	+	7.39192i	−1.03814	+	0.770660i
$93$	2.32124	−	2.32124i	0.240702	−	0.240702i
$94$	1.17035	−	2.86701i	0.120712	−	0.295709i
$95$	−2.82554	−	0.863192i	−0.289894	−	0.0885616i
$96$	−1.46131	−	5.46485i	−0.149145	−	0.557754i
$97$	−9.56179	−	1.51444i	−0.970853	−	0.153768i	−0.349189	−	0.937052i	$-0.613543\pi$
$97$	−9.56179	−	1.51444i	−0.970853	−	0.153768i	−0.621664	+	0.783284i	$0.713543\pi$
$98$	2.20939	−	9.41545i	0.223182	−	0.951104i
$99$	4.82553			0.484984
$100$	9.79530	−	2.01298i	0.979530	−	0.201298i
$101$	−4.59750			−0.457468			−0.228734	−	0.973489i	$-0.573459\pi$
$101$	−4.59750			−0.457468			−0.228734	+	0.973489i	$0.573459\pi$
$102$	−0.264261	+	1.12617i	−0.0261657	+	0.111507i
$103$	−13.0285	−	2.06351i	−1.28374	−	0.203324i	−0.522970	−	0.852351i	$-0.675176\pi$
$103$	−13.0285	−	2.06351i	−1.28374	−	0.203324i	−0.760765	+	0.649027i	$0.775176\pi$
$104$	3.82084	−	17.0689i	0.374664	−	1.67374i
$105$	−0.515156	+	0.736055i	−0.0502741	+	0.0718317i
$106$	−1.66150	+	4.07019i	−0.161379	+	0.395332i
$107$	7.01682	−	7.01682i	0.678342	−	0.678342i	−0.281283	−	0.959625i	$-0.590760\pi$
$107$	7.01682	−	7.01682i	0.678342	−	0.678342i	0.959625	+	0.281283i	$0.0907600\pi$
$108$	1.19212	+	1.60588i	0.114712	+	0.154526i
$109$	−0.702678	−	0.228314i	−0.0673043	−	0.0218685i	0.275171	−	0.961395i	$-0.411265\pi$
$109$	−0.702678	−	0.228314i	−0.0673043	−	0.0218685i	−0.342476	+	0.939527i	$0.611265\pi$
$110$	13.9613	−	6.15953i	1.33116	−	0.587288i
$111$	4.80291	−	1.56056i	0.455872	−	0.148122i
$112$	1.59219	+	0.218765i	0.150448	+	0.0206714i
$113$	7.19231	+	14.1157i	0.676595	+	1.32789i	0.932493	+	0.361189i	$0.117629\pi$
$113$	7.19231	+	14.1157i	0.676595	+	1.32789i	−0.255897	+	0.966704i	$0.582371\pi$
$114$	−0.984486	−	1.58818i	−0.0922056	−	0.148746i
$115$	1.92670	−	13.7305i	0.179665	−	1.28038i
$116$	2.62302	+	15.5275i	0.243541	+	1.44169i
$117$	0.967408	+	6.10797i	0.0894369	+	0.564682i
$118$	−6.97841	+	11.5201i	−0.642415	+	1.06051i
$119$	−0.265876	−	0.193170i	−0.0243728	−	0.0177079i
$120$	5.49888	+	3.12447i	0.501977	+	0.285224i
$121$	9.93934	−	7.22136i	0.903577	−	0.656487i
$122$	1.50139	+	17.9015i	0.135930	+	1.62073i
$123$	0.260625	−	0.511506i	0.0234998	−	0.0461210i
$124$	5.81896	−	3.04057i	0.522558	−	0.273051i
$125$	−6.08321	+	9.38054i	−0.544099	+	0.839021i
$126$	−0.551824	+	0.135481i	−0.0491604	+	0.0120696i
$127$	13.4465	+	6.85135i	1.19319	+	0.607959i	0.933793	−	0.357813i	$-0.116478\pi$
$127$	13.4465	+	6.85135i	1.19319	+	0.607959i	0.259393	+	0.965772i	$0.416478\pi$
$128$	0.481847	−	11.3034i	0.0425897	−	0.999093i
$129$	−6.83996	−	9.41440i	−0.602225	−	0.828892i
$130$	10.5954	+	16.4368i	0.929280	+	1.44160i
$131$	−1.88122	+	2.58928i	−0.164363	+	0.226227i	−0.883252	−	0.468898i	$-0.844651\pi$
$131$	−1.88122	+	2.58928i	−0.164363	+	0.226227i	0.718889	+	0.695125i	$0.244651\pi$
$132$	9.20883	+	2.88794i	0.801526	+	0.251363i
$133$	0.524333	−	0.0830463i	0.0454655	−	0.00720102i
$134$	14.9901	+	1.10234i	1.29495	+	0.0952280i
$135$	−2.21437	−	0.310725i	−0.190583	−	0.0267430i
$136$	−1.17828	+	1.99097i	−0.101037	+	0.170725i
$137$	19.7515	−	10.0639i	1.68748	−	0.859817i	0.697844	−	0.716249i	$-0.254143\pi$
$137$	19.7515	−	10.0639i	1.68748	−	0.859817i	0.989641	−	0.143567i	$-0.0458573\pi$
$138$	6.63869	−	5.72918i	0.565123	−	0.487701i
$139$	1.45251	+	4.47036i	0.123200	+	0.379171i	0.993569	−	0.113230i	$-0.0361196\pi$
$139$	1.45251	+	4.47036i	0.123200	+	0.379171i	−0.870369	+	0.492400i	$0.836120\pi$
$140$	−1.42361	+	1.09635i	−0.120317	+	0.0926586i
$141$	−0.676650	+	2.08251i	−0.0569842	+	0.175379i
$142$	−0.392855	−	0.934833i	−0.0329677	−	0.0784494i
$143$	21.1012	+	21.1012i	1.76457	+	1.76457i
$144$	1.31392	+	3.77804i	0.109494	+	0.314837i
$145$	−14.4244	−	10.0954i	−1.19788	−	0.838380i
$146$	0.152536	+	0.128930i	0.0126240	+	0.0106703i
$147$	−1.06979	+	6.75437i	−0.0882346	+	0.557091i
$148$	10.0996	−	0.103704i	0.830183	−	0.00852444i
$149$		−	10.9299i		−	0.895413i	−0.894181	−	0.447706i	$-0.852241\pi$
$149$		−	10.9299i		−	0.895413i	0.894181	−	0.447706i	$-0.147759\pi$
$150$	−6.80328	+	1.92754i	−0.555485	+	0.157383i
$151$		−	9.43963i		−	0.768186i	−0.923294	−	0.384093i	$-0.874514\pi$
$151$		−	9.43963i		−	0.768186i	0.923294	−	0.384093i	$-0.125486\pi$
$152$	−0.928275	−	3.61999i	−0.0752930	−	0.293620i
$153$	0.127955	−	0.807879i	0.0103446	−	0.0653131i
$154$	−1.77001	+	2.09409i	−0.142631	+	0.168747i
$155$	−2.14462	+	7.02014i	−0.172260	+	0.563871i
$156$	−1.80928	+	12.2352i	−0.144859	+	0.979597i
$157$	−5.43968	−	5.43968i	−0.434134	−	0.434134i	0.455898	−	0.890032i	$-0.349318\pi$
$157$	−5.43968	−	5.43968i	−0.434134	−	0.434134i	−0.890032	+	0.455898i	$0.849318\pi$
$158$	0.676712	−	0.284382i	0.0538363	−	0.0226242i
$159$	0.960617	−	2.95648i	0.0761819	−	0.234464i
$160$	8.62393	+	9.25353i	0.681782	+	0.731556i
$161$	0.769865	+	2.36940i	0.0606738	+	0.186735i
$162$	−0.923967	−	1.07065i	−0.0725937	−	0.0841180i
$163$	12.1817	−	6.20689i	0.954145	−	0.486161i	0.0936420	−	0.995606i	$-0.470149\pi$
$163$	12.1817	−	6.20689i	0.954145	−	0.486161i	0.860503	+	0.509445i	$0.170149\pi$
$164$	0.803489	−	0.820160i	0.0627419	−	0.0640438i
$165$	−9.52610	+	5.06774i	−0.741606	+	0.394523i
$166$	−0.287022	+	3.90304i	−0.0222772	+	0.302935i
$167$	−0.231321	+	0.0366377i	−0.0179002	+	0.00283511i	−0.165378	−	0.986230i	$-0.552884\pi$
$167$	−0.231321	+	0.0366377i	−0.0179002	+	0.00283511i	0.147478	+	0.989065i	$0.452884\pi$
$168$	−1.13416	−	0.0717041i	−0.0875024	−	0.00553209i
$169$	−14.8376	+	20.4222i	−1.14135	+	1.57094i
$170$	−0.661013	−	2.50069i	−0.0506974	−	0.191794i
$171$	0.776624	+	1.06893i	0.0593899	+	0.0817432i
$172$	−7.41885	−	22.0596i	−0.565682	−	1.68203i
$173$	−6.63252	−	3.37944i	−0.504261	−	0.256934i	0.183304	−	0.983056i	$-0.441321\pi$
$173$	−6.63252	−	3.37944i	−0.504261	−	0.256934i	−0.687566	+	0.726122i	$0.741321\pi$
$174$	−2.65500	−	10.8140i	−0.201275	−	0.819808i
$175$	0.243972	−	1.99407i	0.0184426	−	0.150737i
$176$	15.8454	+	11.0224i	1.19439	+	0.830848i
$177$	4.32377	−	8.48588i	0.324995	−	0.637838i
$178$	16.7090	−	1.40137i	1.25239	−	0.105037i
$179$	0.827876	−	0.601487i	0.0618784	−	0.0449573i	−0.556416	−	0.830904i	$-0.687824\pi$
$179$	0.827876	−	0.601487i	0.0618784	−	0.0449573i	0.618294	+	0.785947i	$0.287824\pi$
$180$	−4.03986	−	1.91821i	−0.301113	−	0.142975i
$181$	−5.61627	−	4.08046i	−0.417454	−	0.303298i	0.359159	−	0.933277i	$-0.383064\pi$
$181$	−5.61627	−	4.08046i	−0.417454	−	0.303298i	−0.776613	+	0.629978i	$0.783064\pi$
$182$	−3.00547	−	1.82060i	−0.222780	−	0.134952i
$183$	−1.98714	−	12.5463i	−0.146894	−	0.927451i
$184$	16.0978	−	6.96027i	1.18674	−	0.513118i
$185$	−7.84255	+	8.12469i	−0.576596	+	0.597339i
$186$	−3.94587	+	2.44598i	−0.289325	+	0.179348i
$187$	−1.79192	−	3.51683i	−0.131038	−	0.257176i
$188$	−2.53762	+	3.56923i	−0.185075	+	0.260313i
$189$	0.382122	−	0.124159i	0.0277953	−	0.00903124i
$190$	3.61137	+	2.10132i	0.261996	+	0.152446i
$191$	−19.3222	−	6.27817i	−1.39811	−	0.454273i	−0.489529	−	0.871987i	$-0.662831\pi$
$191$	−19.3222	−	6.27817i	−1.39811	−	0.454273i	−0.908579	+	0.417714i	$0.862831\pi$
$192$	0.246388	+	7.99620i	0.0177815	+	0.577076i
$193$	7.74370	−	7.74370i	0.557404	−	0.557404i	−0.371164	−	0.928568i	$-0.621041\pi$
$193$	7.74370	−	7.74370i	0.557404	−	0.557404i	0.928568	+	0.371164i	$0.121041\pi$
$194$	12.6755	+	5.17430i	0.910051	+	0.371493i
$195$	−8.32432	−	11.0418i	−0.596117	−	0.790721i
$196$	−6.08384	+	12.2495i	−0.434560	+	0.874966i
$197$	13.3485	+	2.11420i	0.951042	+	0.150630i	0.612632	−	0.790369i	$-0.290111\pi$
$197$	13.3485	+	2.11420i	0.951042	+	0.150630i	0.338410	+	0.940999i	$0.390111\pi$
$198$	−6.64386	−	1.55902i	−0.472159	−	0.110795i
$199$	−24.4496			−1.73319			−0.866594	−	0.499014i	$-0.833696\pi$
$199$	−24.4496			−1.73319			−0.866594	+	0.499014i	$0.833696\pi$
$200$	−14.1367	−	0.393136i	−0.999614	−	0.0277989i
$201$	−10.6282			−0.749658
$202$	6.32991	+	1.48535i	0.445371	+	0.104509i
$203$	3.12462	+	0.494891i	0.219305	+	0.0347346i
$204$	0.727677	−	1.46514i	0.0509476	−	0.102581i
$205$	0.0226785	+	1.28347i	0.00158394	+	0.0896418i
$206$	17.2712	+	7.05028i	1.20334	+	0.491217i
$207$	−4.38451	+	4.38451i	−0.304745	+	0.304745i
$208$	−10.7752	+	22.2663i	−0.747123	+	1.54389i
$209$	6.06377	+	1.97024i	0.419440	+	0.136284i
$210$	0.947078	−	0.846977i	0.0653546	−	0.0584470i
$211$	5.48960	−	1.78368i	0.377920	−	0.122794i	−0.113896	−	0.993493i	$-0.536333\pi$
$211$	5.48960	−	1.78368i	0.377920	−	0.122794i	0.491816	+	0.870699i	$0.336333\pi$
$212$	3.60257	−	5.06711i	0.247425	−	0.348011i
$213$	0.325522	+	0.638873i	0.0223044	+	0.0437749i
$214$	−11.9278	+	7.39389i	−0.815371	+	0.505436i
$215$	23.3897	+	11.4017i	1.59517	+	0.777592i
$216$	−1.12251	−	2.59615i	−0.0763770	−	0.176645i
$217$	−0.206331	−	1.30272i	−0.0140066	−	0.0884345i
$218$	0.893694	+	0.541365i	0.0605286	+	0.0366659i
$219$	−0.114255	−	0.0830113i	−0.00772065	−	0.00560938i
$220$	−21.2121	+	3.96996i	−1.43012	+	0.267655i
$221$	4.09224	−	2.97319i	0.275274	−	0.199998i
$222$	−7.11690	+	0.596891i	−0.477655	+	0.0400607i
$223$	3.54587	−	6.95917i	0.237449	−	0.466020i	−0.741275	−	0.671202i	$-0.765778\pi$
$223$	3.54587	−	6.95917i	0.237449	−	0.466020i	0.978724	+	0.205181i	$0.0657784\pi$
$224$	−2.12147	−	0.815600i	−0.141747	−	0.0544945i
$225$	4.69773	−	1.71212i	0.313182	−	0.114141i
$226$	−5.34202	−	21.7584i	−0.355346	−	1.44735i
$227$	−2.73302	−	1.39254i	−0.181397	−	0.0924263i	0.360934	−	0.932591i	$-0.382458\pi$
$227$	−2.73302	−	1.39254i	−0.181397	−	0.0924263i	−0.542331	+	0.840165i	$0.682458\pi$
$228$	0.842352	+	2.50469i	0.0557861	+	0.165877i
$229$	12.7046	+	17.4864i	0.839546	+	1.15554i	0.986070	+	0.166329i	$0.0531914\pi$
$229$	12.7046	+	17.4864i	0.839546	+	1.15554i	−0.146524	+	0.989207i	$0.546809\pi$
$230$	−7.08873	+	18.2819i	−0.467417	+	1.20547i
$231$	1.13962	−	1.56855i	0.0749813	−	0.103203i
$232$	1.40517	−	22.2259i	0.0922541	−	1.45921i
$233$	0.726441	−	0.115057i	0.0475907	−	0.00753763i	−0.132594	−	0.991170i	$-0.542331\pi$
$233$	0.726441	−	0.115057i	0.0475907	−	0.00753763i	0.180184	+	0.983633i	$0.442331\pi$
$234$	0.641406	−	8.72210i	0.0419300	−	0.570181i
$235$	−0.851265	−	4.82172i	−0.0555304	−	0.314534i
$236$	13.3299	−	13.6065i	0.867700	−	0.885705i
$237$	−0.462471	+	0.235641i	−0.0300407	+	0.0153065i
$238$	0.303654	+	0.351859i	0.0196829	+	0.0228076i
$239$	−4.80043	−	14.7742i	−0.310514	−	0.955663i	−0.977562	−	0.210648i	$-0.932442\pi$
$239$	−4.80043	−	14.7742i	−0.310514	−	0.955663i	0.667048	−	0.745015i	$-0.267558\pi$
$240$	−6.56150	−	6.07838i	−0.423543	−	0.392358i
$241$	2.16274	−	6.65624i	0.139314	−	0.428766i	−0.856922	−	0.515447i	$-0.827626\pi$
$241$	2.16274	−	6.65624i	0.139314	−	0.428766i	0.996236	+	0.0866808i	$0.0276260\pi$
$242$	−16.0177	+	6.73130i	−1.02966	+	0.432704i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	3.71643	−	25.1321i	0.237920	−	1.60892i
$245$	−4.98153	−	14.4573i	−0.318258	−	0.923645i
$246$	−0.524089	+	0.620048i	−0.0334147	+	0.0395328i
$247$	−1.27821	+	8.07029i	−0.0813304	+	0.513500i
$248$	−8.99398	+	2.30633i	−0.571118	+	0.146452i
$249$		−	2.76732i		−	0.175372i
$250$	11.4061	−	10.9499i	0.721385	−	0.692534i
$251$			17.4901i			1.10397i	0.833855	+	0.551983i	$0.186129\pi$
$251$			17.4901i			1.10397i	−0.833855	+	0.551983i	$0.813871\pi$
$252$	0.803531	−	0.00825077i	0.0506177	−	0.000519750i
$253$	−4.68073	+	29.5530i	−0.294275	+	1.85798i
$254$	−16.2999	−	13.7773i	−1.02274	−	0.864465i
$255$	0.595832	+	1.72922i	0.0373124	+	0.108288i
$256$	−4.31530	+	15.4071i	−0.269706	+	0.962943i
$257$	9.02424	+	9.02424i	0.562917	+	0.562917i	0.930135	−	0.367218i	$-0.119690\pi$
$257$	9.02424	+	9.02424i	0.562917	+	0.562917i	−0.367218	+	0.930135i	$0.619690\pi$
$258$	6.37578	+	15.1717i	0.396939	+	0.944550i
$259$	0.627012	−	1.92974i	0.0389606	−	0.119908i
$260$	−9.27758	−	26.0536i	−0.575371	−	1.61578i
$261$	2.43312	+	7.48838i	0.150606	+	0.463519i
$262$	3.42664	−	2.95718i	0.211698	−	0.182695i
$263$	−26.8972	+	13.7048i	−1.65855	+	0.845075i	−0.663235	+	0.748411i	$0.730817\pi$
$263$	−26.8972	+	13.7048i	−1.65855	+	0.845075i	−0.995317	+	0.0966635i	$0.969183\pi$
$264$	−11.7458	−	6.95133i	−0.722906	−	0.427825i
$265$	1.20851	+	6.84523i	0.0742383	+	0.420499i
$266$	−0.748741	−	0.0550609i	−0.0459082	−	0.00337600i
$267$	−11.7105	+	1.85477i	−0.716674	+	0.113510i
$268$	−20.2825	−	6.36069i	−1.23895	−	0.388541i
$269$	0.623455	−	0.858112i	0.0380127	−	0.0523200i	−0.789588	−	0.613638i	$-0.789705\pi$
$269$	0.623455	−	0.858112i	0.0380127	−	0.0523200i	0.827600	+	0.561318i	$0.189705\pi$
$270$	2.94840	+	1.14323i	0.179434	+	0.0695745i
$271$	13.7753	+	18.9600i	0.836788	+	1.15174i	0.986621	+	0.163029i	$0.0521263\pi$
$271$	13.7753	+	18.9600i	0.836788	+	1.15174i	−0.149833	+	0.988711i	$0.547874\pi$
$272$	2.26552	−	2.36053i	0.137367	−	0.143128i
$273$	2.21388	+	1.12803i	0.133990	+	0.0682713i
$274$	−30.4456	+	7.47486i	−1.83929	+	0.451573i
$275$	13.4834	−	20.0085i	0.813081	−	1.20656i
$276$	−10.9912	+	5.74322i	−0.661594	+	0.345701i
$277$	3.74246	−	7.34500i	0.224863	−	0.441318i	−0.750820	−	0.660507i	$-0.770341\pi$
$277$	3.74246	−	7.34500i	0.224863	−	0.441318i	0.975682	+	0.219189i	$0.0703412\pi$
$278$	−0.555563	−	6.62413i	−0.0333204	−	0.397289i
$279$	2.65579	−	1.92954i	0.158998	−	0.115519i
$280$	2.31426	−	1.04954i	0.138303	−	0.0627218i
$281$	−7.86491	−	5.71419i	−0.469181	−	0.340880i	0.327941	−	0.944698i	$-0.393645\pi$
$281$	−7.86491	−	5.71419i	−0.469181	−	0.340880i	−0.797122	+	0.603818i	$0.793645\pi$
$282$	1.60444	−	2.64863i	0.0955428	−	0.157723i
$283$	1.41178	+	8.91364i	0.0839217	+	0.529861i	0.993454	+	0.114229i	$0.0364396\pi$
$283$	1.41178	+	8.91364i	0.0839217	+	0.529861i	−0.909533	+	0.415632i	$0.863560\pi$
$284$	0.238866	+	1.41401i	0.0141741	+	0.0839063i
$285$	−2.65572	−	1.29458i	−0.157311	−	0.0766841i
$286$	−22.2351	−	35.8698i	−1.31479	−	2.12102i
$287$	−0.104716	−	0.205516i	−0.00618118	−	0.0121313i
$288$	−0.588430	−	5.62617i	−0.0346736	−	0.331525i
$289$	15.5317	−	5.04654i	0.913627	−	0.296856i
$290$	16.5981	+	18.5597i	0.974672	+	1.08986i
$291$	−9.20716	−	2.99159i	−0.539733	−	0.175370i
$292$	−0.168360	−	0.226794i	−0.00985252	−	0.0132721i
$293$	21.0181	−	21.0181i	1.22789	−	1.22789i	0.263129	−	0.964761i	$-0.415246\pi$
$293$	21.0181	−	21.0181i	1.22789	−	1.22789i	0.964761	−	0.263129i	$-0.0847545\pi$
$294$	3.65509	−	8.95390i	0.213169	−	0.522202i
$295$	0.376237	+	21.2928i	0.0219054	+	1.23972i
$296$	−13.9388	−	3.12018i	−0.810177	−	0.181357i
$297$	4.76612	+	0.754879i	0.276558	+	0.0438025i
$298$	−3.53121	+	15.0485i	−0.204557	+	0.871734i
$299$	−38.3454			−2.21757
$300$	9.98960	−	0.455876i	0.576750	−	0.0263200i
$301$	−4.67553			−0.269493
$302$	−3.04973	+	12.9966i	−0.175492	+	0.747872i
$303$	−4.54090	−	0.719208i	−0.260868	−	0.0413174i
$304$	0.108525	+	5.28397i	0.00622431	+	0.303056i
$305$	17.0989	+	22.6809i	0.979080	+	1.29870i
$306$	−0.437178	+	1.07096i	−0.0249918	+	0.0612227i
$307$	15.0448	−	15.0448i	0.858654	−	0.858654i	−0.132525	−	0.991180i	$-0.542309\pi$
$307$	15.0448	−	15.0448i	0.858654	−	0.858654i	0.991180	+	0.132525i	$0.0423086\pi$
$308$	3.11353	−	2.31133i	0.177410	−	0.131700i
$309$	−12.5453	−	4.07621i	−0.713676	−	0.231887i
$310$	5.22080	−	8.97255i	0.296522	−	0.509607i
$311$	−31.8888	+	10.3613i	−1.80825	+	0.587535i	−0.999999	−	0.00131006i	$-0.999583\pi$
$311$	−31.8888	+	10.3613i	−1.80825	+	0.587535i	−0.808246	+	0.588845i	$0.799583\pi$
$312$	6.44396	−	16.2610i	0.364817	−	0.920599i
$313$	2.87865	+	5.64966i	0.162711	+	0.319338i	0.957939	−	0.286973i	$-0.0926489\pi$
$313$	2.87865	+	5.64966i	0.162711	+	0.319338i	−0.795228	+	0.606310i	$0.792649\pi$
$314$	5.73200	+	9.24688i	0.323475	+	0.521831i
$315$	−0.623958	+	0.646405i	−0.0351561	+	0.0364208i
$316$	−1.02358	+	0.172911i	−0.0575811	+	0.00972703i
$317$	−1.92319	−	12.1425i	−0.108017	−	0.681993i	−0.980966	−	0.194181i	$-0.937795\pi$
$317$	−1.92319	−	12.1425i	−0.108017	−	0.681993i	0.872949	−	0.487812i	$-0.162205\pi$
$318$	−2.27776	+	3.76017i	−0.127731	+	0.210860i
$319$	30.7386	+	22.3329i	1.72103	+	1.25040i
$320$	−8.88396	−	15.5266i	−0.496628	−	0.867963i
$321$	8.02810	−	5.83276i	0.448085	−	0.325553i
$322$	−0.294462	−	3.51095i	−0.0164097	−	0.195658i
$323$	0.490642	−	0.962940i	0.0273001	−	0.0535794i
$324$	0.926230	+	1.77260i	0.0514572	+	0.0984776i
$325$	28.0291	+	13.0556i	1.55478	+	0.724192i
$326$	−18.7773	+	4.61011i	−1.03998	+	0.255330i
$327$	−0.658310	−	0.335426i	−0.0364046	−	0.0185491i
$328$	−1.37123	+	0.869621i	−0.0757136	+	0.0480168i
$329$	0.517126	+	0.711762i	0.0285101	+	0.0392407i
$330$	14.7530	−	3.89967i	0.812123	−	0.214670i
$331$	7.87256	−	10.8357i	0.432715	−	0.595581i	−0.535859	−	0.844308i	$-0.680012\pi$
$331$	7.87256	−	10.8357i	0.432715	−	0.595581i	0.968574	+	0.248726i	$0.0800120\pi$
$332$	1.65616	−	5.28103i	0.0908936	−	0.289834i
$333$	4.98790	−	0.790006i	0.273335	−	0.0432920i
$334$	0.330324	+	0.0242914i	0.0180745	+	0.00132916i
$335$	20.9813	−	11.1617i	1.14633	−	0.609829i
$336$	1.53836	+	0.465145i	0.0839246	+	0.0253757i
$337$	7.29881	−	3.71893i	0.397591	−	0.202583i	−0.243751	−	0.969838i	$-0.578378\pi$
$337$	7.29881	−	3.71893i	0.397591	−	0.202583i	0.641342	+	0.767255i	$0.278378\pi$
$338$	27.0266	−	23.3239i	1.47005	−	1.26865i
$339$	4.89558	+	15.0670i	0.265891	+	0.818329i
$340$	0.102175	+	3.65655i	0.00554119	+	0.198304i
$341$	4.89511	−	15.0656i	0.265085	−	0.815849i
$342$	−0.723920	−	1.72263i	−0.0391451	−	0.0931492i
$343$	3.93162	+	3.93162i	0.212288	+	0.212288i
$344$	3.08744	+	32.7688i	0.166464	+	1.76678i
$345$	4.05090	−	13.2601i	0.218093	−	0.713899i
$346$	8.03994	+	6.79568i	0.432230	+	0.365338i
$347$	3.47639	−	21.9491i	0.186623	−	1.17829i	−0.699429	−	0.714702i	$-0.746562\pi$
$347$	3.47639	−	21.9491i	0.186623	−	1.17829i	0.886052	−	0.463586i	$-0.153438\pi$
$348$	0.161689	+	15.7467i	0.00866744	+	0.844110i
$349$		−	20.7428i		−	1.11034i	−0.831738	−	0.555169i	$-0.812654\pi$
$349$		−	20.7428i		−	1.11034i	0.831738	−	0.555169i	$-0.187346\pi$
$350$	−0.980142	+	2.66664i	−0.0523908	+	0.142538i
$351$			6.18411i			0.330083i
$352$	−18.2551	−	20.2952i	−0.973000	−	1.08174i
$353$	−4.72025	+	29.8025i	−0.251234	+	1.58623i	0.463026	+	0.886345i	$0.346764\pi$
$353$	−4.72025	+	29.8025i	−0.251234	+	1.58623i	−0.714259	+	0.699881i	$0.753236\pi$
$354$	−8.69464	+	10.2866i	−0.462115	+	0.546726i
$355$	−1.31356	−	0.919342i	−0.0697163	−	0.0487936i
$356$	−23.4579	−	3.46886i	−1.24327	−	0.183849i
$357$	−0.232384	−	0.232384i	−0.0122991	−	0.0122991i
$358$	−1.33416	+	0.560669i	−0.0705125	+	0.0296323i
$359$	3.81855	−	11.7523i	0.201535	−	0.620262i	−0.798303	−	0.602257i	$-0.794268\pi$
$359$	3.81855	−	11.7523i	0.201535	−	0.620262i	0.999838	−	0.0180054i	$-0.00573162\pi$
$360$	4.94241	+	3.94621i	0.260488	+	0.207984i
$361$	−5.33185	−	16.4098i	−0.280624	−	0.863672i
$362$	6.41426	+	7.43253i	0.337126	+	0.390645i
$363$	10.9466	−	5.57759i	0.574550	−	0.292748i
$364$	3.54978	+	3.47762i	0.186059	+	0.182277i
$365$	0.312730	+	0.0438829i	0.0163690	+	0.00229694i
$366$	−1.31751	+	17.9160i	−0.0688671	+	0.936483i
$367$	−8.71072	+	1.37964i	−0.454696	+	0.0720168i	−0.379582	−	0.925158i	$-0.623932\pi$
$367$	−8.71072	+	1.37964i	−0.454696	+	0.0720168i	−0.0751141	+	0.997175i	$0.523932\pi$
$368$	−24.4124	+	4.38218i	−1.27258	+	0.228437i
$369$	0.337434	−	0.464438i	0.0175661	−	0.0241777i
$370$	13.4227	−	8.65245i	0.697811	−	0.449819i
$371$	−0.734146	−	1.01047i	−0.0381150	−	0.0524607i
$372$	6.22297	−	2.09285i	0.322646	−	0.108509i
$373$	−6.52571	−	3.32501i	−0.337888	−	0.172163i	0.276811	−	0.960924i	$-0.410723\pi$
$373$	−6.52571	−	3.32501i	−0.337888	−	0.172163i	−0.614699	+	0.788762i	$0.710723\pi$
$374$	1.33093	+	5.42096i	0.0688207	+	0.280311i
$375$	−7.47576	+	8.31342i	−0.386047	+	0.429303i
$376$	4.64697	−	4.09432i	0.239649	−	0.211149i
$377$	−22.1058	+	43.3850i	−1.13850	+	2.23444i
$378$	−0.566225	+	0.0474890i	−0.0291234	+	0.00244257i
$379$	−25.1849	+	18.2979i	−1.29366	+	0.939902i	−0.999873	−	0.0159680i	$-0.994917\pi$
$379$	−25.1849	+	18.2979i	−1.29366	+	0.939902i	−0.293791	+	0.955870i	$0.594917\pi$
$380$	−4.29330	−	4.05989i	−0.220242	−	0.208268i
$381$	12.2092	+	8.87050i	0.625496	+	0.454449i
$382$	24.5748	+	14.8865i	1.25736	+	0.761658i
$383$	1.44958	+	9.15227i	0.0740699	+	0.467659i	0.996645	+	0.0818421i	$0.0260803\pi$
$383$	1.44958	+	9.15227i	0.0740699	+	0.467659i	−0.922575	+	0.385817i	$0.873920\pi$
$384$	2.24416	−	11.0889i	0.114522	−	0.565878i
$385$	−0.602445	+	4.29330i	−0.0307034	+	0.218807i
$386$	−13.1635	+	8.15984i	−0.670003	+	0.415325i
$387$	−5.28301	−	10.3685i	−0.268551	−	0.527060i
$388$	−15.7802	−	11.2192i	−0.801118	−	0.569571i
$389$	13.1473	−	4.27183i	0.666597	−	0.216591i	0.0438790	−	0.999037i	$-0.486028\pi$
$389$	13.1473	−	4.27183i	0.666597	−	0.216591i	0.622718	+	0.782446i	$0.286028\pi$
$390$	7.89369	+	17.8919i	0.399713	+	0.905994i
$391$	4.82357	+	1.56727i	0.243939	+	0.0792605i
$392$	12.3339	−	14.8998i	0.622954	−	0.752553i
$393$	−2.26312	+	2.26312i	−0.114159	+	0.114159i
$394$	−17.6954	−	7.22346i	−0.891480	−	0.363913i
$395$	0.665498	−	0.950864i	0.0334848	−	0.0478431i
$396$	8.64368	+	4.29296i	0.434362	+	0.215729i
$397$	−21.4097	−	3.39096i	−1.07452	−	0.170187i	−0.405994	−	0.913876i	$-0.633074\pi$
$397$	−21.4097	−	3.39096i	−1.07452	−	0.170187i	−0.668526	+	0.743689i	$0.733074\pi$
$398$	33.6626	+	7.89912i	1.68735	+	0.395947i
$399$	0.530869			0.0265767
$400$	19.3366	+	5.10852i	0.966829	+	0.255426i
$401$	−0.427591			−0.0213529			−0.0106764	−	0.999943i	$-0.503398\pi$
$401$	−0.427591			−0.0213529			−0.0106764	+	0.999943i	$0.503398\pi$
$402$	14.6331	+	3.43374i	0.729833	+	0.171259i
$403$	20.0509	+	3.17574i	0.998804	+	0.158195i
$404$	−8.23524	−	4.09010i	−0.409718	−	0.203490i
$405$	−2.13850	−	0.653304i	−0.106263	−	0.0324630i
$406$	−4.14214	−	1.69087i	−0.205571	−	0.0839164i
$407$	17.2317	−	17.2317i	0.854142	−	0.854142i
$408$	−1.47523	+	1.78214i	−0.0730349	+	0.0882290i
$409$	1.06535	+	0.346153i	0.0526781	+	0.0171162i	0.335238	−	0.942134i	$-0.391183\pi$
$409$	1.06535	+	0.346153i	0.0526781	+	0.0171162i	−0.282559	+	0.959250i	$0.591183\pi$
$410$	0.383438	−	1.77443i	0.0189366	−	0.0876331i
$411$	21.0827	−	6.85017i	1.03993	−	0.337894i
$412$	−21.5014	−	15.2869i	−1.05930	−	0.753130i
$413$	−1.73724	−	3.40952i	−0.0854838	−	0.167771i
$414$	7.45320	−	4.62013i	0.366305	−	0.227067i
$415$	2.90622	+	5.46298i	0.142661	+	0.268167i
$416$	22.0291	−	27.1753i	1.08007	−	1.33238i
$417$	0.735307	+	4.64254i	0.0360081	+	0.227346i
$418$	−7.71216	−	4.67172i	−0.377214	−	0.228501i
$419$	−24.7848	−	18.0072i	−1.21082	−	0.879710i	−0.215512	−	0.976501i	$-0.569142\pi$
$419$	−24.7848	−	18.0072i	−1.21082	−	0.879710i	−0.995305	+	0.0967917i	$0.969142\pi$
$420$	−1.57759	+	0.860152i	−0.0769786	+	0.0419711i
$421$	−25.3400	+	18.4106i	−1.23500	+	0.897277i	−0.997254	−	0.0740512i	$-0.976407\pi$
$421$	−25.3400	+	18.4106i	−1.23500	+	0.897277i	−0.237742	+	0.971328i	$0.576407\pi$
$422$	−8.13444	+	0.682231i	−0.395978	+	0.0332105i
$423$	−0.994096	+	1.95102i	−0.0483346	+	0.0948620i
$424$	−6.59714	+	5.81257i	−0.320385	+	0.282283i
$425$	−2.99225	−	2.78792i	−0.145145	−	0.135234i
$426$	−0.241778	−	0.984779i	−0.0117142	−	0.0477127i
$427$	−4.54751	−	2.31707i	−0.220069	−	0.112131i
$428$	18.8112	−	6.32641i	0.909276	−	0.305798i
$429$	17.5404	+	24.1423i	0.846860	+	1.16560i
$430$	−28.5197	−	23.2548i	−1.37534	−	1.12145i
$431$	−2.44551	+	3.36595i	−0.117796	+	0.162132i	−0.863843	−	0.503761i	$-0.831949\pi$
$431$	−2.44551	+	3.36595i	−0.117796	+	0.162132i	0.746047	+	0.665893i	$0.231949\pi$
$432$	0.706731	+	3.93707i	0.0340026	+	0.189422i
$433$	−26.2088	+	4.15107i	−1.25952	+	0.199488i	−0.750269	−	0.661133i	$-0.770076\pi$
$433$	−26.2088	+	4.15107i	−1.25952	+	0.199488i	−0.509247	+	0.860620i	$0.670076\pi$
$434$	−0.136800	+	1.86027i	−0.00656663	+	0.0892957i
$435$	−12.6675	−	12.2276i	−0.607360	−	0.586269i
$436$	−1.05555	−	1.03409i	−0.0505516	−	0.0495240i
$437$	−7.29977	+	3.71942i	−0.349195	+	0.177924i
$438$	0.130489	+	0.151204i	0.00623502	+	0.00722483i
$439$	3.42870	+	10.5525i	0.163643	+	0.503641i	0.998934	−	0.0461672i	$-0.0147007\pi$
$439$	3.42870	+	10.5525i	0.163643	+	0.503641i	−0.835291	+	0.549808i	$0.814701\pi$
$440$	30.4878	+	1.38725i	1.45345	+	0.0661343i
$441$	−2.11323	+	6.50386i	−0.100630	+	0.309708i
$442$	−6.59483	+	2.77142i	−0.313684	+	0.131823i
$443$	9.84313	+	9.84313i	0.467661	+	0.467661i	0.901156	−	0.433495i	$-0.142720\pi$
$443$	9.84313	+	9.84313i	0.467661	+	0.467661i	−0.433495	+	0.901156i	$0.642720\pi$
$444$	9.99149	+	1.47750i	0.474175	+	0.0701191i
$445$	21.1700	−	15.9598i	1.00355	−	0.756569i
$446$	−7.13036	+	8.43590i	−0.337632	+	0.399451i
$447$	1.70981	−	10.7953i	0.0808714	−	0.510602i
$448$	2.65737	+	1.80833i	0.125549	+	0.0854356i
$449$		−	29.3339i		−	1.38435i	−0.721729	−	0.692175i	$-0.756652\pi$
$449$		−	29.3339i		−	1.38435i	0.721729	−	0.692175i	$-0.243348\pi$
$450$	−7.02105	+	0.839538i	−0.330976	+	0.0395762i
$451$		−	2.77022i		−	0.130445i
$452$	0.325327	+	31.6832i	0.0153021	+	1.49025i
$453$	1.47668	−	9.32341i	0.0693806	−	0.438052i
$454$	3.31296	+	2.80025i	0.155485	+	0.131422i
$455$	−5.55508	+	0.0981563i	−0.260426	+	0.00460164i
$456$	−0.350554	−	3.72064i	−0.0164162	−	0.174235i
$457$	8.90285	+	8.90285i	0.416458	+	0.416458i	0.883981	−	0.467523i	$-0.154854\pi$
$457$	8.90285	+	8.90285i	0.416458	+	0.416458i	−0.467523	+	0.883981i	$0.654854\pi$
$458$	−11.8425	−	28.1802i	−0.553362	−	1.31677i
$459$	0.252760	−	0.777916i	0.0117978	−	0.0363100i
$460$	15.6664	−	22.8806i	0.730447	−	1.06682i
$461$	1.50779	+	4.64051i	0.0702249	+	0.216130i	0.980010	−	0.198951i	$-0.0637534\pi$
$461$	1.50779	+	4.64051i	0.0702249	+	0.216130i	−0.909785	+	0.415081i	$0.863753\pi$
$462$	−2.07581	+	1.79142i	−0.0965752	+	0.0833443i
$463$	−23.7928	+	12.1230i	−1.10575	+	0.563405i	−0.908894	−	0.417028i	$-0.863072\pi$
$463$	−23.7928	+	12.1230i	−1.10575	+	0.563405i	−0.196852	+	0.980433i	$0.563072\pi$
$464$	−9.11537	+	30.1471i	−0.423170	+	1.39954i
$465$	−3.21641	+	6.59821i	−0.149158	+	0.305985i
$466$	−1.03735	−	0.0762845i	−0.0480542	−	0.00353381i
$467$	15.1389	−	2.39777i	0.700545	−	0.110955i	0.204005	−	0.978970i	$-0.434604\pi$
$467$	15.1389	−	2.39777i	0.700545	−	0.110955i	0.496539	+	0.868014i	$0.334604\pi$
$468$	−3.70101	+	11.8015i	−0.171079	+	0.545524i
$469$	−2.51001	+	3.45473i	−0.115901	+	0.159525i
$470$	−0.385753	+	6.91364i	−0.0177934	+	0.318902i
$471$	−4.52176	−	6.22366i	−0.208352	−	0.286771i
$472$	−22.7487	+	14.4270i	−1.04709	+	0.664056i
$473$	−50.0335	−	25.4933i	−2.30054	−	1.17218i
$474$	0.712867	−	0.175020i	0.0327431	−	0.00803893i
$475$	6.60223	−	0.233391i	0.302931	−	0.0107087i
$476$	−0.304397	−	0.582548i	−0.0139520	−	0.0267011i
$477$	1.41128	−	2.76980i	0.0646183	−	0.126821i
$478$	1.83609	+	21.8922i	0.0839809	+	1.00133i
$479$	12.7600	−	9.27066i	0.583018	−	0.423587i	−0.256793	−	0.966466i	$-0.582666\pi$
$479$	12.7600	−	9.27066i	0.583018	−	0.423587i	0.839811	+	0.542879i	$0.182666\pi$
$480$	7.07019	+	10.4887i	0.322708	+	0.478741i
$481$	25.2658	+	18.3567i	1.15202	+	0.836991i
$482$	−5.12818	+	8.46568i	−0.233582	+	0.385601i
$483$	0.389731	+	2.46066i	0.0177334	+	0.111964i
$484$	24.2281	−	4.09280i	1.10128	−	0.186036i
$485$	21.3177	−	3.76359i	0.967985	−	0.170896i
$486$	−0.745105	−	1.20201i	−0.0337987	−	0.0545241i
$487$	−7.07070	−	13.8770i	−0.320404	−	0.628828i	0.673486	−	0.739200i	$-0.264796\pi$
$487$	−7.07070	−	13.8770i	−0.320404	−	0.628828i	−0.993890	+	0.110371i	$0.964796\pi$
$488$	−13.2365	+	33.4016i	−0.599187	+	1.51202i
$489$	13.0027	−	4.22484i	0.588003	−	0.191054i
$490$	2.18781	+	21.5145i	0.0988350	+	0.971926i
$491$	−5.21837	−	1.69555i	−0.235502	−	0.0765191i	0.188889	−	0.981999i	$-0.439512\pi$
$491$	−5.21837	−	1.69555i	−0.235502	−	0.0765191i	−0.424390	+	0.905479i	$0.639512\pi$
$492$	0.921898	−	0.684370i	0.0415624	−	0.0308538i
$493$	4.55400	−	4.55400i	0.205102	−	0.205102i
$494$	4.36718	−	10.6983i	0.196489	−	0.481341i
$495$	−10.2016	+	3.51514i	−0.458527	+	0.157994i
$496$	13.1282	−	0.269632i	0.589472	−	0.0121068i
$497$	0.284544	+	0.0450673i	0.0127635	+	0.00202155i
$498$	−0.894058	+	3.81009i	−0.0400637	+	0.170734i
$499$	36.0956			1.61586			0.807931	−	0.589277i	$-0.200587\pi$
$499$	36.0956			1.61586			0.807931	+	0.589277i	$0.200587\pi$
$500$	−19.2418	+	11.3910i	−0.860518	+	0.509420i
$501$	−0.234205			−0.0104635
$502$	5.65066	−	24.0807i	0.252201	−	1.07477i
$503$	−18.4908	−	2.92865i	−0.824462	−	0.130582i	−0.270073	−	0.962840i	$-0.587048\pi$
$503$	−18.4908	−	2.92865i	−0.824462	−	0.130582i	−0.554389	+	0.832258i	$0.687048\pi$
$504$	−1.10898	−	0.248243i	−0.0493979	−	0.0110576i
$505$	9.71952	−	3.34903i	0.432513	−	0.149030i
$506$	15.9924	−	39.1767i	0.710949	−	1.74162i
$507$	−17.8496	+	17.8496i	−0.792730	+	0.792730i
$508$	17.9908	+	24.2349i	0.798212	+	1.07525i
$509$	−18.6069	−	6.04575i	−0.824737	−	0.267973i	−0.133910	−	0.990993i	$-0.542753\pi$
$509$	−18.6069	−	6.04575i	−0.824737	−	0.267973i	−0.690827	+	0.723020i	$0.742753\pi$
$510$	−0.261680	−	2.57331i	−0.0115874	−	0.113948i
$511$	−0.0539660	+	0.0175346i	−0.00238732	+	0.000775686i
$512$	10.9191	−	19.8185i	0.482559	−	0.875864i
$513$	0.599844	+	1.17726i	0.0264838	+	0.0519773i
$514$	−9.50919	−	15.3402i	−0.419432	−	0.676629i
$515$	29.0465	−	5.12811i	1.27994	−	0.225972i
$516$	−3.87664	−	22.9485i	−0.170659	−	1.01025i
$517$	1.65295	+	10.4363i	0.0726965	+	0.458988i
$518$	−1.48674	+	2.45433i	−0.0653235	+	0.107837i
$519$	−6.02220	−	4.37539i	−0.264345	−	0.192058i
$520$	4.35618	+	38.8684i	0.191031	+	1.70449i
$521$	−28.4303	+	20.6558i	−1.24555	+	0.904947i	−0.997955	−	0.0639160i	$-0.979641\pi$
$521$	−28.4303	+	20.6558i	−1.24555	+	0.904947i	−0.247597	+	0.968863i	$0.579641\pi$
$522$	−0.930633	−	11.0962i	−0.0407327	−	0.485668i
$523$	8.68718	−	17.0496i	0.379864	−	0.745525i	−0.619352	−	0.785113i	$-0.712605\pi$
$523$	8.68718	−	17.0496i	0.379864	−	0.745525i	0.999216	+	0.0395884i	$0.0126047\pi$
$524$	−5.67325	+	2.96443i	−0.247837	+	0.129502i
$525$	0.552909	−	1.93135i	0.0241309	−	0.0842910i
$526$	41.4602	−	10.1791i	1.80775	−	0.443830i
$527$	−2.39245	−	1.21901i	−0.104217	−	0.0531011i
$528$	13.9260	+	13.3655i	0.606053	+	0.581659i
$529$	−9.08005	−	12.4976i	−0.394785	−	0.543375i
$530$	0.547640	−	9.81506i	0.0237880	−	0.426339i
$531$	5.59802	−	7.70502i	0.242934	−	0.334369i
$532$	1.01309	+	0.317710i	0.0439230	+	0.0137745i
$533$	3.50645	−	0.555366i	0.151881	−	0.0240556i
$534$	16.7225	+	1.22974i	0.723653	+	0.0532160i
$535$	−9.72280	+	19.9455i	−0.420353	+	0.862321i
$536$	25.8702	+	15.3103i	1.11742	+	0.661305i
$537$	0.911777	−	0.464574i	0.0393461	−	0.0200478i
$538$	−1.13562	+	0.980037i	−0.0489600	+	0.0422524i
$539$	10.1975	+	31.3846i	0.439236	+	1.35183i
$540$	−3.69005	−	2.52657i	−0.158794	−	0.108726i
$541$	−9.02742	+	27.7835i	−0.388119	+	1.19451i	0.546073	+	0.837738i	$0.316122\pi$
$541$	−9.02742	+	27.7835i	−0.388119	+	1.19451i	−0.934192	+	0.356770i	$0.883878\pi$
$542$	−12.8404	−	30.5549i	−0.551544	−	1.31245i
$543$	−4.90880	−	4.90880i	−0.210657	−	0.210657i
$544$	−3.88183	+	2.51807i	−0.166432	+	0.107962i
$545$	1.65184	−	0.0291874i	0.0707569	−	0.00125025i
$546$	−2.68366	−	2.26834i	−0.114850	−	0.0970760i
$547$	−5.10500	+	32.2317i	−0.218274	+	1.37813i	0.598478	+	0.801139i	$0.295772\pi$
$547$	−5.10500	+	32.2317i	−0.218274	+	1.37813i	−0.816752	+	0.576989i	$0.804228\pi$
$548$	44.3329	−	0.455217i	1.89381	−	0.0194459i
$549$		−	12.7027i		−	0.542139i
$550$	−25.0285	+	23.1918i	−1.06722	+	0.988903i
$551$			10.4034i			0.443198i
$552$	16.9884	−	4.35633i	0.723074	−	0.185418i
$553$	−0.0326236	+	0.205977i	−0.00138730	+	0.00875904i
$554$	−7.52568	+	8.90360i	−0.319736	+	0.378278i
$555$	−9.01698	+	6.79782i	−0.382749	+	0.288551i
$556$	−1.37520	+	9.29970i	−0.0583215	+	0.394395i
$557$	−21.6247	−	21.6247i	−0.916268	−	0.916268i	0.0804877	−	0.996756i	$-0.474352\pi$
$557$	−21.6247	−	21.6247i	−0.916268	−	0.916268i	−0.996756	+	0.0804877i	$0.974352\pi$
$558$	−4.27992	+	1.79860i	−0.181184	+	0.0761408i
$559$	22.2379	−	68.4413i	0.940564	−	2.89476i
$560$	−3.52539	+	0.697335i	−0.148975	+	0.0294678i
$561$	−1.21970	−	3.75385i	−0.0514958	−	0.158488i
$562$	8.98241	+	10.4084i	0.378900	+	0.439051i
$563$	28.9806	−	14.7664i	1.22139	−	0.622328i	0.280112	−	0.959967i	$-0.409628\pi$
$563$	28.9806	−	14.7664i	1.22139	−	0.622328i	0.941275	+	0.337640i	$0.109628\pi$
$564$	−3.06472	+	3.12831i	−0.129048	+	0.131726i
$565$	−25.4877	−	24.6026i	−1.07228	−	1.03504i
$566$	0.936033	−	12.7285i	0.0393444	−	0.535021i
$567$	0.396840	−	0.0628533i	0.0166657	−	0.00263959i
$568$	0.127962	−	2.02401i	0.00536918	−	0.0849255i
$569$	−8.27181	+	11.3852i	−0.346772	+	0.477291i	−0.946404	−	0.322985i	$-0.895314\pi$
$569$	−8.27181	+	11.3852i	−0.346772	+	0.477291i	0.599632	+	0.800276i	$0.295314\pi$
$570$	3.23819	+	2.64040i	0.135633	+	0.110594i
$571$	16.6535	+	22.9216i	0.696927	+	0.959237i	0.999980	+	0.00626394i	$0.00199389\pi$
$571$	16.6535	+	22.9216i	0.696927	+	0.959237i	−0.303054	+	0.952974i	$0.598006\pi$
$572$	19.0249	+	56.5697i	0.795473	+	2.36530i
$573$	−18.1022	−	9.22354i	−0.756231	−	0.385319i
$574$	0.0777767	+	0.316790i	0.00324634	+	0.0132225i
$575$	5.92874	+	30.4310i	0.247246	+	1.26906i
$576$	−1.00753	+	7.93630i	−0.0419803	+	0.330679i
$577$	3.67055	−	7.20385i	0.152807	−	0.299900i	−0.801895	−	0.597465i	$-0.796175\pi$
$577$	3.67055	−	7.20385i	0.152807	−	0.299900i	0.954702	+	0.297565i	$0.0961745\pi$
$578$	−23.0147	+	1.93023i	−0.957284	+	0.0802869i
$579$	8.85975	−	6.43698i	0.368199	−	0.267512i
$580$	−16.8562	−	30.9158i	−0.699917	−	1.28371i
$581$	−0.899523	−	0.653542i	−0.0373185	−	0.0271135i
$582$	11.7100	+	7.09349i	0.485397	+	0.294035i
$583$	−2.34663	−	14.8161i	−0.0971876	−	0.613618i
$584$	0.158529	+	0.366646i	0.00655997	+	0.0151719i
$585$	−6.49451	−	12.2081i	−0.268515	−	0.504742i
$586$	−35.7285	+	22.1476i	−1.47593	+	0.914907i
$587$	−16.7529	−	32.8795i	−0.691468	−	1.35708i	−0.923207	−	0.384304i	$-0.874442\pi$
$587$	−16.7529	−	32.8795i	−0.691468	−	1.35708i	0.231739	−	0.972778i	$-0.425558\pi$
$588$	−7.92518	+	11.1470i	−0.326829	+	0.459694i
$589$	4.12510	−	1.34032i	0.169972	−	0.0552271i
$590$	6.36122	−	29.4378i	0.261887	−	1.21194i
$591$	12.8534	+	4.17633i	0.528720	+	0.171791i
$592$	18.1831	+	8.79922i	0.747321	+	0.361646i
$593$	9.67544	−	9.67544i	0.397323	−	0.397323i	−0.479965	−	0.877288i	$-0.659351\pi$
$593$	9.67544	−	9.67544i	0.397323	−	0.397323i	0.877288	+	0.479965i	$0.159351\pi$
$594$	−6.31818	−	2.57915i	−0.259238	−	0.105824i
$595$	0.702800	+	0.214703i	0.0288120	+	0.00880195i
$596$	9.72364	−	19.5781i	0.398296	−	0.801950i
$597$	−24.1486	−	3.82476i	−0.988337	−	0.156537i
$598$	52.7946	+	12.3885i	2.15893	+	0.506605i
$599$	5.56923			0.227552			0.113776	−	0.993506i	$-0.463705\pi$
$599$	5.56923			0.227552			0.113776	+	0.993506i	$0.463705\pi$
$600$	−13.9011	−	2.59976i	−0.567511	−	0.106135i
$601$	37.8533			1.54407			0.772035	−	0.635580i	$-0.219239\pi$
$601$	37.8533			1.54407			0.772035	+	0.635580i	$0.219239\pi$
$602$	6.43734	+	1.51056i	0.262366	+	0.0615657i
$603$	−10.4974	−	1.66262i	−0.427486	−	0.0677072i
$604$	8.39784	−	16.9087i	0.341703	−	0.688004i
$605$	−15.7523	+	22.5069i	−0.640421	+	0.915034i
$606$	6.01962	+	2.45728i	0.244530	+	0.0998201i
$607$	−3.65411	+	3.65411i	−0.148316	+	0.148316i	−0.777365	−	0.629049i	$-0.783444\pi$
$607$	−3.65411	+	3.65411i	−0.148316	+	0.148316i	0.629049	+	0.777365i	$0.283444\pi$
$608$	1.55771	−	7.31011i	0.0631736	−	0.296464i
$609$	3.00873	+	0.977597i	0.121920	+	0.0396142i
$610$	−16.2144	−	36.7517i	−0.656500	−	1.48803i
$611$	−12.8785	+	4.18448i	−0.521008	+	0.169286i
$612$	0.947917	−	1.33327i	0.0383173	−	0.0538944i
$613$	−7.16598	−	14.0640i	−0.289431	−	0.568041i	0.699811	−	0.714328i	$-0.253268\pi$
$613$	−7.16598	−	14.0640i	−0.289431	−	0.568041i	−0.989242	+	0.146287i	$0.953268\pi$
$614$	−25.5746	+	15.8533i	−1.03211	+	0.639788i
$615$	−0.178380	+	1.27122i	−0.00719299	+	0.0512606i
$616$	−5.03349	+	2.17636i	−0.202805	+	0.0876879i
$617$	−1.82125	−	11.4989i	−0.0733207	−	0.462929i	−0.996844	−	0.0793863i	$-0.974704\pi$
$617$	−1.82125	−	11.4989i	−0.0733207	−	0.462929i	0.923523	−	0.383543i	$-0.125296\pi$
$618$	15.9556	+	9.66529i	0.641829	+	0.388795i
$619$	1.82958	+	1.32927i	0.0735369	+	0.0534277i	0.623946	−	0.781467i	$-0.285528\pi$
$619$	1.82958	+	1.32927i	0.0735369	+	0.0534277i	−0.550409	+	0.834895i	$0.685528\pi$
$620$	−10.0869	+	10.6668i	−0.405100	+	0.428390i
$621$	−5.01642	+	3.64464i	−0.201302	+	0.146254i
$622$	47.2524	−	3.96304i	1.89465	−	0.158903i
$623$	−2.16272	+	4.24457i	−0.0866474	+	0.170055i
$624$	−14.1257	+	20.3065i	−0.565481	+	0.812912i
$625$	6.02723	−	24.2626i	0.241089	−	0.970503i
$626$	−2.13809	−	8.70857i	−0.0854551	−	0.348064i
$627$	5.68090	+	2.89457i	0.226873	+	0.115598i
$628$	−4.90445	−	14.5831i	−0.195709	−	0.581930i
$629$	−2.42797	−	3.34181i	−0.0968094	−	0.133247i
$630$	1.06791	−	0.688394i	0.0425467	−	0.0274263i
$631$	−6.35346	+	8.74478i	−0.252927	+	0.348124i	−0.916534	−	0.399957i	$-0.869025\pi$
$631$	−6.35346	+	8.74478i	−0.252927	+	0.348124i	0.663607	+	0.748082i	$0.269025\pi$
$632$	1.46515	+	0.0926300i	0.0582806	+	0.00368462i
$633$	5.70105	−	0.902957i	0.226596	−	0.0358893i
$634$	−1.27510	+	17.3394i	−0.0506409	+	0.688635i
$635$	−33.4180	−	4.68928i	−1.32615	−	0.186088i
$636$	4.35088	−	4.44116i	0.172524	−	0.176104i
$637$	−37.6811	+	19.1995i	−1.49298	+	0.760710i
$638$	−35.1061	−	40.6792i	−1.38986	−	1.61051i
$639$	0.221573	+	0.681930i	0.00876528	+	0.0269767i
$640$	7.21528	+	24.2475i	0.285209	+	0.958465i
$641$	5.64411	−	17.3708i	0.222929	−	0.686104i	−0.775566	−	0.631266i	$-0.782536\pi$
$641$	5.64411	−	17.3708i	0.222929	−	0.686104i	0.998495	−	0.0548383i	$-0.0174643\pi$
$642$	−12.9377	+	5.43693i	−0.510608	+	0.214579i
$643$	−7.36517	−	7.36517i	−0.290454	−	0.290454i	0.546806	−	0.837260i	$-0.315844\pi$
$643$	−7.36517	−	7.36517i	−0.290454	−	0.290454i	−0.837260	+	0.546806i	$0.815844\pi$
$644$	−0.728890	+	4.92907i	−0.0287223	+	0.194233i
$645$	21.3182	+	14.9203i	0.839402	+	0.587487i
$646$	−0.986628	+	1.16727i	−0.0388184	+	0.0459258i
$647$	−3.13185	+	19.7737i	−0.123126	+	0.777386i	0.846427	+	0.532504i	$0.178749\pi$
$647$	−3.13185	+	19.7737i	−0.123126	+	0.777386i	−0.969553	+	0.244881i	$0.921251\pi$
$648$	−0.702562	−	2.73978i	−0.0275992	−	0.107629i
$649$		−	45.9580i		−	1.80401i
$650$	−34.3730	−	27.0307i	−1.34822	−	1.06023i
$651$		−	1.31896i		−	0.0516941i
$652$	27.3423	−	0.280754i	1.07081	−	0.0109952i
$653$	2.73613	−	17.2752i	0.107073	−	0.676032i	−0.874512	−	0.485004i	$-0.838818\pi$
$653$	2.73613	−	17.2752i	0.107073	−	0.676032i	0.981585	−	0.191027i	$-0.0611820\pi$
$654$	0.798003	+	0.674505i	0.0312044	+	0.0263752i
$655$	2.09092	−	6.84434i	0.0816990	−	0.267431i
$656$	2.16889	−	0.754293i	0.0846808	−	0.0294502i
$657$	−0.0998627	−	0.0998627i	−0.00389601	−	0.00389601i
$658$	−0.482032	−	1.14704i	−0.0187916	−	0.0447162i
$659$	−3.53605	+	10.8828i	−0.137745	+	0.423936i	−0.996007	−	0.0892764i	$-0.971545\pi$
$659$	−3.53605	+	10.8828i	−0.137745	+	0.423936i	0.858262	+	0.513212i	$0.171545\pi$
$660$	−21.5720	+	0.602783i	−0.839689	+	0.0234633i
$661$	7.49196	+	23.0579i	0.291404	+	0.896848i	0.984406	+	0.175913i	$0.0562876\pi$
$661$	7.49196	+	23.0579i	0.291404	+	0.896848i	−0.693002	+	0.720936i	$0.743712\pi$
$662$	−14.3398	+	12.3752i	−0.557333	+	0.480978i
$663$	4.50697	−	2.29641i	0.175036	−	0.0891853i
$664$	−3.98641	+	6.73594i	−0.154703	+	0.261405i
$665$	−1.04799	+	0.557516i	−0.0406394	+	0.0216195i
$666$	−7.12265	−	0.523786i	−0.275997	−	0.0202963i
$667$	−48.2212	+	7.63748i	−1.86713	+	0.295725i
$668$	−0.446947	−	0.140165i	−0.0172929	−	0.00542314i
$669$	4.59087	−	6.31879i	0.177493	−	0.244299i
$670$	−32.4934	+	8.58904i	−1.25533	+	0.331823i
$671$	−36.0296	−	49.5906i	−1.39091	−	1.91442i
$672$	−1.96777	−	1.13743i	−0.0759082	−	0.0438773i
$673$	−43.0361	−	21.9280i	−1.65892	−	0.845262i	−0.995262	−	0.0972259i	$-0.969003\pi$
$673$	−43.0361	−	21.9280i	−1.65892	−	0.845262i	−0.663658	−	0.748036i	$-0.730997\pi$
$674$	−11.2506	+	2.76220i	−0.433357	+	0.106396i
$675$	4.90773	−	0.956151i	0.188898	−	0.0368023i
$676$	−44.7460	+	23.3810i	−1.72100	+	0.899270i
$677$	0.0777535	−	0.152600i	0.00298831	−	0.00586489i	−0.889508	−	0.456920i	$-0.848952\pi$
$677$	0.0777535	−	0.152600i	0.00298831	−	0.00586489i	0.892496	+	0.451056i	$0.148952\pi$
$678$	−1.87249	−	22.3262i	−0.0719124	−	0.857432i
$679$	−3.14683	+	2.28630i	−0.120764	+	0.0877403i
$680$	1.04067	−	5.06741i	0.0399080	−	0.194326i
$681$	−2.48153	−	1.80294i	−0.0950924	−	0.0690887i
$682$	−11.6070	+	19.1611i	−0.444456	+	0.733715i
$683$	3.27418	+	20.6724i	0.125283	+	0.791007i	0.967686	+	0.252158i	$0.0811404\pi$
$683$	3.27418	+	20.6724i	0.125283	+	0.791007i	−0.842403	+	0.538848i	$0.818860\pi$
$684$	0.440161	+	2.60563i	0.0168300	+	0.0996286i
$685$	−34.4254	+	35.6639i	−1.31533	+	1.36265i
$686$	−4.14290	−	6.68334i	−0.158177	−	0.255171i
$687$	9.81274	+	19.2586i	0.374379	+	0.734761i
$688$	6.33603	−	46.1141i	0.241559	−	1.75808i
$689$	18.2832	−	5.94056i	0.696533	−	0.226317i
$690$	−9.86138	+	16.9479i	−0.375416	+	0.645197i
$691$	22.4980	+	7.31006i	0.855866	+	0.278088i	0.703901	−	0.710298i	$-0.251440\pi$
$691$	22.4980	+	7.31006i	0.855866	+	0.278088i	0.151965	+	0.988386i	$0.451440\pi$
$692$	−8.87398	−	11.9539i	−0.337338	−	0.454420i
$693$	1.37096	−	1.37096i	0.0520785	−	0.0520785i
$694$	−11.8776	+	29.0967i	−0.450868	+	1.10450i
$695$	−6.32714	−	8.39266i	−0.240002	−	0.318352i
$696$	4.86478	−	21.7325i	0.184399	−	0.823768i
$697$	−0.463785	−	0.0734563i	−0.0175671	−	0.00278235i
$698$	−6.70153	+	28.5590i	−0.253657	+	1.08097i
$699$	0.735496			0.0278190
$700$	2.21101	−	3.35481i	0.0835681	−	0.126800i
$701$	24.6490			0.930981			0.465491	−	0.885053i	$-0.345878\pi$
$701$	24.6490			0.930981			0.465491	+	0.885053i	$0.345878\pi$
$702$	1.99795	−	8.51438i	0.0754076	−	0.321354i
$703$	6.59037	+	1.04381i	0.248560	+	0.0393681i
$704$	18.5770	+	33.8405i	0.700147	+	1.27541i
$705$	−0.0865021	−	4.89552i	−0.00325786	−	0.184376i
$706$	16.1274	−	39.5075i	0.606964	−	1.48688i
$707$	−1.30618	+	1.30618i	−0.0491239	+	0.0491239i
$708$	15.2943	−	11.3537i	0.574794	−	0.426698i
$709$	1.81095	+	0.588412i	0.0680115	+	0.0220983i	0.342825	−	0.939399i	$-0.388616\pi$
$709$	1.81095	+	0.588412i	0.0680115	+	0.0220983i	−0.274814	+	0.961498i	$0.588616\pi$
$710$	1.51151	+	1.69014i	0.0567258	+	0.0634300i
$711$	−0.493639	+	0.160393i	−0.0185129	+	0.00601521i
$712$	31.1765	+	12.3547i	1.16839	+	0.463012i
$713$	9.24100	+	18.1365i	0.346078	+	0.679217i
$714$	0.244872	+	0.395029i	0.00916412	+	0.0147836i
$715$	−59.9808	−	29.2387i	−2.24316	−	1.09346i
$716$	2.01803	−	0.340901i	0.0754174	−	0.0127401i
$717$	−2.43013	−	15.3433i	−0.0907549	−	0.573004i
$718$	−9.05434	+	14.9470i	−0.337905	+	0.557819i
$719$	2.72857	+	1.98242i	0.101758	+	0.0739318i	0.637501	−	0.770450i	$-0.279968\pi$
$719$	2.72857	+	1.98242i	0.101758	+	0.0739318i	−0.535743	+	0.844381i	$0.679968\pi$
$720$	−5.52985	−	7.02999i	−0.206085	−	0.261992i
$721$	−4.28773	+	3.11522i	−0.159683	+	0.116017i
$722$	2.03936	+	24.3158i	0.0758970	+	0.904941i
$723$	3.17738	−	6.23596i	0.118168	−	0.231918i
$724$	−6.42997	−	12.3055i	−0.238968	−	0.457331i
$725$	37.8483	+	10.8353i	1.40565	+	0.402411i
$726$	−16.8735	+	4.14270i	−0.626234	+	0.153750i
$727$	36.2670	+	18.4790i	1.34507	+	0.685348i	0.970330	−	0.241782i	$-0.0777320\pi$
$727$	36.2670	+	18.4790i	1.34507	+	0.685348i	0.374740	+	0.927130i	$0.377732\pi$
$728$	−3.76385	−	5.93490i	−0.139498	−	0.219962i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−0.416394	−	0.161455i	−0.0154114	−	0.00597570i
$731$	−5.59474	+	7.70050i	−0.206929	+	0.284813i
$732$	7.60221	−	24.2413i	0.280986	−	0.895986i
$733$	28.2983	−	4.48200i	1.04522	−	0.165547i	0.389869	−	0.920871i	$-0.372520\pi$
$733$	28.2983	−	4.48200i	1.04522	−	0.165547i	0.655352	+	0.755324i	$0.272520\pi$
$734$	12.4388	+	0.914724i	0.459124	+	0.0337631i
$735$	−2.65857	−	15.0586i	−0.0980629	−	0.555446i
$736$	35.0271	+	1.85362i	1.29112	+	0.0683254i
$737$	−45.6969	+	23.2837i	−1.68327	+	0.857667i
$738$	−0.614634	+	0.530428i	−0.0226250	+	0.0195253i
$739$	5.33155	+	16.4088i	0.196124	+	0.603608i	0.999962	+	0.00875922i	$0.00278818\pi$
$739$	5.33155	+	16.4088i	0.196124	+	0.603608i	−0.803837	+	0.594849i	$0.797212\pi$
$740$	−21.2759	+	7.57626i	−0.782119	+	0.278509i
$741$	−2.52494	+	7.77097i	−0.0927560	+	0.285474i
$742$	0.684325	+	1.62841i	0.0251224	+	0.0597808i
$743$	−19.9221	−	19.9221i	−0.730870	−	0.730870i	0.239922	−	0.970792i	$-0.422878\pi$
$743$	−19.9221	−	19.9221i	−0.730870	−	0.730870i	−0.970792	+	0.239922i	$0.922878\pi$
$744$	−9.24404	+	0.870962i	−0.338903	+	0.0319310i
$745$	7.96184	+	23.1068i	0.291699	+	0.846567i
$746$	7.91046	+	6.68624i	0.289622	+	0.244801i
$747$	0.432904	−	2.73325i	0.0158391	−	0.100004i
$748$	−0.0810531	−	7.89365i	−0.00296360	−	0.288621i
$749$		−	3.98705i		−	0.145683i
$750$	12.9786	−	9.03080i	0.473912	−	0.329758i
$751$		−	44.0978i		−	1.60915i	−0.593851	−	0.804575i	$-0.702393\pi$
$751$		−	44.0978i		−	1.60915i	0.593851	−	0.804575i	$-0.297607\pi$
$752$	−7.72080	+	4.13580i	−0.281549	+	0.150817i
$753$	−2.73606	+	17.2748i	−0.0997074	+	0.629528i
$754$	44.4523	−	52.5913i	1.61886	−	1.91526i
$755$	6.87626	+	19.9562i	0.250253	+	0.726281i
$756$	0.794929	+	0.117551i	0.0289113	+	0.00427528i
$757$	23.0613	+	23.0613i	0.838177	+	0.838177i	0.988619	−	0.150442i	$-0.0480696\pi$
$757$	23.0613	+	23.0613i	0.838177	+	0.838177i	−0.150442	+	0.988619i	$0.548070\pi$
$758$	40.5867	−	17.0562i	1.47417	−	0.619509i
$759$	−9.24620	+	28.4569i	−0.335616	+	1.03292i
$760$	4.59943	+	6.97679i	0.166839	+	0.253075i
$761$	11.1365	+	34.2748i	0.403699	+	1.24246i	0.921976	+	0.387246i	$0.126574\pi$
$761$	11.1365	+	34.2748i	0.403699	+	1.24246i	−0.518277	+	0.855213i	$0.673426\pi$
$762$	−13.9439	−	16.1575i	−0.505136	−	0.585326i
$763$	−0.264500	+	0.134770i	−0.00957556	+	0.00487899i
$764$	−29.0255	−	28.4355i	−1.05011	−	1.02876i
$765$	0.317987	+	1.80114i	0.0114968	+	0.0651202i
$766$	0.961091	−	13.0693i	0.0347256	−	0.472213i
$767$	58.1719	−	9.21352i	2.10047	−	0.332681i
$768$	−6.67237	+	14.5423i	−0.240769	+	0.524751i
$769$	−12.8574	+	17.6967i	−0.463651	+	0.638160i	−0.975261	−	0.221057i	$-0.929049\pi$
$769$	−12.8574	+	17.6967i	−0.463651	+	0.638160i	0.511610	+	0.859218i	$0.329049\pi$
$770$	2.21652	−	5.71645i	0.0798780	−	0.206006i
$771$	7.50144	+	10.3248i	0.270158	+	0.371840i
$772$	20.7599	−	6.98177i	0.747166	−	0.251279i
$773$	−24.7065	−	12.5886i	−0.888630	−	0.452780i	−0.0507986	−	0.998709i	$-0.516177\pi$
$773$	−24.7065	−	12.5886i	−0.888630	−	0.452780i	−0.837831	+	0.545929i	$0.816177\pi$
$774$	3.92391	+	15.9823i	0.141042	+	0.574473i
$775$	−0.579867	−	16.4034i	−0.0208294	−	0.589229i
$776$	18.1017	+	20.5451i	0.649814	+	0.737524i
$777$	0.921171	−	1.80790i	0.0330468	−	0.0648580i
$778$	−19.4816	+	1.63391i	−0.698449	+	0.0585786i
$779$	0.613648	−	0.445842i	0.0219862	−	0.0159739i
$780$	−5.08767	−	27.1842i	−0.182168	−	0.973350i
$781$	2.79921	+	2.03375i	0.100164	+	0.0727732i
$782$	−6.13482	−	3.71624i	−0.219381	−	0.132892i
$783$	1.23173	+	7.77681i	0.0440183	+	0.277920i
$784$	−21.7952	+	16.5295i	−0.778402	+	0.590338i
$785$	15.4625	+	7.53745i	0.551880	+	0.269023i
$786$	3.84706	−	2.38473i	0.137220	−	0.0850606i
$787$	−2.05238	−	4.02802i	−0.0731593	−	0.143583i	0.851530	−	0.524306i	$-0.175675\pi$
$787$	−2.05238	−	4.02802i	−0.0731593	−	0.143583i	−0.924689	+	0.380723i	$0.875675\pi$
$788$	22.0295	+	15.6624i	0.784770	+	0.557948i
$789$	−28.7100	+	9.32843i	−1.02210	+	0.332101i
$790$	−1.22347	+	1.09416i	−0.0435291	+	0.0389283i
$791$	6.05374	+	1.96698i	0.215246	+	0.0699377i
$792$	−10.5138	−	8.70320i	−0.373592	−	0.309255i
$793$	55.5468	−	55.5468i	1.97252	−	1.97252i
$794$	28.3816	+	11.5857i	1.00723	+	0.411161i
$795$	0.122804	+	6.95001i	0.00435541	+	0.246491i
$796$	−43.7952	−	21.7513i	−1.55228	−	0.770953i
$797$	53.1519	+	8.41843i	1.88274	+	0.298196i	0.988712	−	0.149826i	$-0.0478712\pi$
$797$	53.1519	+	8.41843i	1.88274	+	0.298196i	0.894023	+	0.448022i	$0.147871\pi$
$798$	−0.730909	−	0.171512i	−0.0258739	−	0.00607146i
$799$	1.79105			0.0633628
$800$	−24.9724	−	13.2807i	−0.882909	−	0.469543i
$801$	−11.8565			−0.418929
$802$	0.588714	+	0.138145i	0.0207882	+	0.00487807i
$803$	−0.673105	−	0.106609i	−0.0237534	−	0.00376216i
$804$	−19.0377	−	9.45526i	−0.671409	−	0.333461i
$805$	−3.35354	−	4.44831i	−0.118197	−	0.156782i
$806$	−26.5803	−	10.8504i	−0.936252	−	0.382189i
$807$	0.750017	−	0.750017i	0.0264019	−	0.0264019i
$808$	10.0170	+	8.29194i	0.352396	+	0.291709i
$809$	−7.16602	−	2.32838i	−0.251944	−	0.0818615i	0.180322	−	0.983608i	$-0.442286\pi$
$809$	−7.16602	−	2.32838i	−0.251944	−	0.0818615i	−0.432266	+	0.901746i	$0.642286\pi$
$810$	2.73326	+	1.59038i	0.0960368	+	0.0558803i
$811$	−27.6407	+	8.98100i	−0.970595	+	0.315365i	−0.751056	−	0.660238i	$-0.770455\pi$
$811$	−27.6407	+	8.98100i	−0.970595	+	0.315365i	−0.219539	+	0.975604i	$0.570455\pi$
$812$	5.15668	+	3.66624i	0.180964	+	0.128660i
$813$	10.6397	+	20.8815i	0.373150	+	0.732347i
$814$	−29.2920	+	18.1577i	−1.02668	+	0.636426i
$815$	−21.2318	+	21.9956i	−0.743718	+	0.770474i
$816$	2.60689	−	1.97706i	0.0912595	−	0.0692110i
$817$	−2.40524	−	15.1861i	−0.0841489	−	0.531295i
$818$	−1.35495	−	0.820779i	−0.0473749	−	0.0286978i
$819$	2.01016	+	1.46047i	0.0702407	+	0.0510328i
$820$	−1.10120	+	2.31919i	−0.0384557	+	0.0809896i
$821$	15.6146	−	11.3447i	0.544954	−	0.395932i	−0.280968	−	0.959717i	$-0.590655\pi$
$821$	15.6146	−	11.3447i	0.544954	−	0.395932i	0.825921	+	0.563785i	$0.190655\pi$
$822$	−31.2401	+	2.62009i	−1.08962	+	0.0913862i
$823$	5.44966	−	10.6956i	0.189963	−	0.372824i	−0.776307	−	0.630355i	$-0.782909\pi$
$823$	5.44966	−	10.6956i	0.189963	−	0.372824i	0.966270	+	0.257532i	$0.0829092\pi$
$824$	24.6646	+	27.9938i	0.859233	+	0.975210i
$825$	16.4474	−	17.6529i	0.572626	−	0.614595i
$826$	1.29031	+	5.25554i	0.0448958	+	0.182863i
$827$	−12.9242	−	6.58522i	−0.449419	−	0.228990i	0.214606	−	0.976701i	$-0.431153\pi$
$827$	−12.9242	−	6.58522i	−0.449419	−	0.228990i	−0.664025	+	0.747710i	$0.731153\pi$
$828$	−11.7543	+	3.95310i	−0.408492	+	0.137380i
$829$	5.59044	+	7.69459i	0.194164	+	0.267244i	0.894988	−	0.446090i	$-0.147184\pi$
$829$	5.59044	+	7.69459i	0.194164	+	0.267244i	−0.700824	+	0.713334i	$0.747184\pi$
$830$	−2.23636	−	8.46044i	−0.0776253	−	0.293666i
$831$	4.84540	−	6.66912i	0.168085	−	0.231349i
$832$	−39.1098	+	30.2983i	−1.35589	+	1.05041i
$833$	5.52473	−	0.875032i	0.191421	−	0.0303181i
$834$	0.487520	−	6.62949i	0.0168814	−	0.229560i
$835$	0.462345	−	0.245961i	0.0160001	−	0.00851181i
$836$	9.10889	+	8.92373i	0.315037	+	0.308634i
$837$	2.92494	−	1.49033i	0.101101	−	0.0515134i
$838$	28.3064	+	32.8000i	0.977827	+	1.13306i
$839$	−1.97972	−	6.09297i	−0.0683477	−	0.210353i	0.911049	−	0.412298i	$-0.135274\pi$
$839$	−1.97972	−	6.09297i	−0.0683477	−	0.210353i	−0.979397	+	0.201945i	$0.935274\pi$
$840$	2.44995	−	0.674586i	0.0845312	−	0.0232754i
$841$	−10.1963	+	31.3810i	−0.351596	+	1.08210i
$842$	40.8366	−	17.1612i	1.40732	−	0.591414i
$843$	−6.87419	−	6.87419i	−0.236760	−	0.236760i
$844$	11.4200	+	1.68875i	0.393094	+	0.0581291i
$845$	16.4915	−	53.9826i	0.567324	−	1.85706i
$846$	1.99902	−	2.36503i	0.0687277	−	0.0813114i
$847$	0.772197	−	4.87546i	0.0265330	−	0.167523i
$848$	10.9610	−	5.87145i	0.376401	−	0.201626i
$849$			9.02475i			0.309729i
$850$	3.21906	+	4.80517i	0.110413	+	0.164816i
$851$			31.3137i			1.07342i
$852$	0.0147242	+	1.43397i	0.000504444	+	0.0491271i
$853$	0.00815680	−	0.0515000i	0.000279284	−	0.00176333i	−0.987548	−	0.157316i	$-0.949716\pi$
$853$	0.00815680	−	0.0515000i	0.000279284	−	0.00176333i	0.987828	+	0.155553i	$0.0497159\pi$
$854$	5.51248	+	4.65937i	0.188633	+	0.159441i
$855$	−2.42051	−	1.69408i	−0.0827796	−	0.0579365i
$856$	−27.9435	+	2.63281i	−0.955090	+	0.0899875i
$857$	2.84463	+	2.84463i	0.0971706	+	0.0971706i	0.754021	−	0.656850i	$-0.228112\pi$
$857$	2.84463	+	2.84463i	0.0971706	+	0.0971706i	−0.656850	+	0.754021i	$0.728112\pi$
$858$	−16.3501	−	38.9065i	−0.558183	−	1.32825i
$859$	−4.02230	+	12.3794i	−0.137239	+	0.422379i	−0.995932	−	0.0901124i	$-0.971277\pi$
$859$	−4.02230	+	12.3794i	−0.137239	+	0.422379i	0.858692	+	0.512491i	$0.171277\pi$
$860$	31.7533	+	41.2316i	1.08278	+	1.40599i
$861$	−0.0712768	−	0.219367i	−0.00242911	−	0.00747602i
$862$	4.45448	−	3.84421i	0.151720	−	0.130934i
$863$	15.7938	−	8.04733i	0.537626	−	0.273934i	−0.164023	−	0.986456i	$-0.552447\pi$
$863$	15.7938	−	8.04733i	0.537626	−	0.273934i	0.701650	+	0.712522i	$0.252447\pi$
$864$	0.298941	−	5.64895i	0.0101702	−	0.192181i
$865$	16.4835	+	2.31299i	0.560455	+	0.0786442i
$866$	37.4258	+	2.75222i	1.27178	+	0.0935244i
$867$	16.1299	−	2.55472i	0.547800	−	0.0867630i
$868$	0.789360	−	2.51705i	0.0267926	−	0.0854342i
$869$	−1.47220	+	2.02631i	−0.0499410	+	0.0687379i
$870$	13.4903	+	20.9277i	0.457365	+	0.709517i
$871$	−38.6329	−	53.1736i	−1.30902	−	1.80172i
$872$	1.11920	+	1.76478i	0.0379010	+	0.0597630i
$873$	−8.62582	−	4.39507i	−0.291940	−	0.148751i
$874$	11.2521	−	2.76256i	0.380608	−	0.0934450i
$875$	0.936791	+	4.39335i	0.0316693	+	0.148522i
$876$	−0.130809	−	0.250339i	−0.00441962	−	0.00845816i
$877$	−16.4835	+	32.3508i	−0.556610	+	1.09241i	0.425651	+	0.904887i	$0.360045\pi$
$877$	−16.4835	+	32.3508i	−0.556610	+	1.09241i	−0.982261	+	0.187520i	$0.939955\pi$
$878$	−1.31143	−	15.6365i	−0.0442585	−	0.527707i
$879$	24.0473	−	17.4714i	0.811094	−	0.589295i
$880$	−41.5278	−	11.7599i	−1.39990	−	0.396426i
$881$	−9.13773	−	6.63895i	−0.307858	−	0.223672i	0.423119	−	0.906074i	$-0.360935\pi$
$881$	−9.13773	−	6.63895i	−0.307858	−	0.223672i	−0.730977	+	0.682402i	$0.760935\pi$
$882$	5.01078	−	8.27188i	0.168722	−	0.278529i
$883$	−2.89735	−	18.2932i	−0.0975036	−	0.615614i	−0.987252	−	0.159163i	$-0.949120\pi$
$883$	−2.89735	−	18.2932i	−0.0975036	−	0.615614i	0.889749	−	0.456451i	$-0.150880\pi$
$884$	9.97524	−	1.68509i	0.335504	−	0.0566758i
$885$	−2.95933	+	21.0895i	−0.0994767	+	0.708917i
$886$	−10.3721	−	16.7323i	−0.348457	−	0.562132i
$887$	16.8944	+	33.1571i	0.567258	+	1.11331i	0.979352	+	0.202165i	$0.0647977\pi$
$887$	16.8944	+	33.1571i	0.567258	+	1.11331i	−0.412094	+	0.911142i	$0.635202\pi$
$888$	−13.2791	−	5.26227i	−0.445617	−	0.176590i
$889$	5.76675	−	1.87373i	0.193411	−	0.0628429i
$890$	−34.3034	+	15.1342i	−1.14985	+	0.507300i
$891$	4.58935	+	1.49117i	0.153749	+	0.0499561i
$892$	12.5426	−	9.31101i	0.419959	−	0.311756i
$893$	−2.04578	+	2.04578i	−0.0684594	+	0.0684594i
$894$	−5.84183	+	14.3108i	−0.195380	+	0.478624i
$895$	−1.31205	+	1.87466i	−0.0438571	+	0.0626630i
$896$	−3.07448	−	3.34827i	−0.102711	−	0.111858i
$897$	−37.8733	−	5.99854i	−1.26455	−	0.200286i
$898$	−9.47711	+	40.3873i	−0.316255	+	1.34774i
$899$	25.8474			0.862060
$900$	9.93793	+	1.11245i	0.331264	+	0.0370818i
$901$	−2.54269			−0.0847094
$902$	−0.894997	+	3.81409i	−0.0298001	+	0.126995i
$903$	−4.61796	−	0.731414i	−0.153676	−	0.0243399i
$904$	9.78820	−	43.7270i	0.325551	−	1.45434i
$905$	14.8457	+	4.53530i	0.493487	+	0.150758i
$906$	−5.04530	+	12.3595i	−0.167619	+	0.410618i
$907$	−27.6188	+	27.6188i	−0.917067	+	0.917067i	−0.996815	−	0.0797477i	$-0.974589\pi$
$907$	−27.6188	+	27.6188i	−0.917067	+	0.917067i	0.0797477	+	0.996815i	$0.474589\pi$
$908$	−3.65664	−	4.92577i	−0.121350	−	0.163468i
$909$	−4.37248	−	1.42071i	−0.145026	−	0.0471218i
$910$	7.68003	+	1.65958i	0.254590	+	0.0550144i
$911$	48.0214	−	15.6031i	1.59102	−	0.516954i	0.626156	−	0.779698i	$-0.284627\pi$
$911$	48.0214	−	15.6031i	1.59102	−	0.516954i	0.964866	+	0.262744i	$0.0846275\pi$
$912$	−0.719407	+	5.23589i	−0.0238219	+	0.173378i
$913$	−6.06248	−	11.8983i	−0.200639	−	0.393776i
$914$	−9.38127	−	15.1339i	−0.310305	−	0.500584i
$915$	13.3403	+	25.0765i	0.441017	+	0.829004i
$916$	7.20052	+	42.6249i	0.237912	+	1.40837i
$917$	0.201164	+	1.27010i	0.00664302	+	0.0419424i
$918$	−0.599331	+	0.989386i	−0.0197809	+	0.0326546i
$919$	23.8809	+	17.3505i	0.787757	+	0.572339i	0.907297	−	0.420490i	$-0.138142\pi$
$919$	23.8809	+	17.3505i	0.787757	+	0.572339i	−0.119540	+	0.992829i	$0.538142\pi$
$920$	−28.9619	+	26.4410i	−0.954845	+	0.871733i
$921$	17.2131	−	12.5061i	0.567192	−	0.412089i
$922$	−0.576708	−	6.87626i	−0.0189929	−	0.226457i
$923$	−2.01306	+	3.95086i	−0.0662608	+	0.130044i
$924$	3.43677	−	1.79581i	0.113061	−	0.0590777i
$925$	10.6614	−	22.8892i	0.350546	−	0.752592i
$926$	36.6750	−	9.00427i	1.20521	−	0.295899i
$927$	−11.7532	−	5.98854i	−0.386025	−	0.196689i
$928$	22.2900	−	38.5620i	0.731705	−	1.26586i
$929$	31.2636	+	43.0307i	1.02573	+	1.41179i	0.908110	+	0.418731i	$0.137525\pi$
$929$	31.2636	+	43.0307i	1.02573	+	1.41179i	0.117615	+	0.993059i	$0.462475\pi$
$930$	6.56014	−	8.04537i	0.215115	−	0.263818i
$931$	−5.31099	+	7.30995i	−0.174061	+	0.239574i
$932$	1.40359	+	0.440173i	0.0459761	+	0.0144184i
$933$	−33.1170	+	5.24522i	−1.08420	+	0.171721i
$934$	−21.6181	−	1.58976i	−0.707367	−	0.0520184i
$935$	6.35009	+	6.12958i	0.207670	+	0.200459i
$936$	8.90841	−	15.0528i	0.291180	−	0.492015i
$937$	32.7246	−	16.6740i	1.06907	−	0.544717i	0.171314	−	0.985217i	$-0.445199\pi$
$937$	32.7246	−	16.6740i	1.06907	−	0.544717i	0.897753	+	0.440500i	$0.145199\pi$
$938$	4.57197	−	3.94560i	0.149280	−	0.128828i
$939$	1.95940	+	6.03042i	0.0639427	+	0.196795i
$940$	2.76475	−	9.39418i	0.0901763	−	0.306404i
$941$	−0.641137	+	1.97322i	−0.0209005	+	0.0643250i	−0.960963	−	0.276678i	$-0.910767\pi$
$941$	−0.641137	+	1.97322i	−0.0209005	+	0.0643250i	0.940062	+	0.341003i	$0.110767\pi$
$942$	4.21490	+	10.0297i	0.137329	+	0.326786i
$943$	2.51705	+	2.51705i	0.0819663	+	0.0819663i
$944$	35.9818	−	12.5137i	1.17111	−	0.407287i
$945$	−0.717396	+	0.540838i	−0.0233369	+	0.0175935i
$946$	60.6505	+	51.2643i	1.97192	+	1.66675i
$947$	−8.84211	+	55.8269i	−0.287330	+	1.81413i	0.247181	+	0.968969i	$0.420496\pi$
$947$	−8.84211	+	55.8269i	−0.287330	+	1.81413i	−0.534511	+	0.845161i	$0.679504\pi$
$948$	−1.03803	+	0.0106587i	−0.0337137	+	0.000346177i
$949$		−	0.873364i		−	0.0283506i
$950$	−9.16546	−	1.81170i	−0.297367	−	0.0587792i
$951$		−	12.2939i		−	0.398657i
$952$	0.230891	+	0.900405i	0.00748322	+	0.0291823i
$953$	−3.01129	+	19.0125i	−0.0975452	+	0.615876i	0.889685	+	0.456575i	$0.150924\pi$
$953$	−3.01129	+	19.0125i	−0.0975452	+	0.615876i	−0.987230	+	0.159301i	$0.949076\pi$
$954$	−2.83794	+	3.35755i	−0.0918817	+	0.108705i
$955$	45.4222	−	0.802595i	1.46983	−	0.0259713i
$956$	4.54493	−	30.7348i	0.146994	−	0.994034i
$957$	26.8665	+	26.8665i	0.868471	+	0.868471i
$958$	−20.5633	+	8.64153i	−0.664369	+	0.279195i
$959$	2.75231	−	8.47074i	0.0888767	−	0.273534i
$960$	−6.34569	−	16.7252i	−0.204806	−	0.539803i
$961$	6.24945	+	19.2338i	0.201595	+	0.620446i
$962$	−28.8557	−	33.4365i	−0.930344	−	1.07804i
$963$	8.84171	−	4.50508i	0.284920	−	0.145174i
$964$	9.79562	−	9.99888i	0.315496	−	0.322042i
$965$	−10.7300	+	22.0117i	−0.345411	+	0.708583i
$966$	0.258397	−	3.51379i	0.00831380	−	0.113054i
$967$	33.4817	−	5.30298i	1.07670	−	0.170532i	0.407195	−	0.913341i	$-0.366507\pi$
$967$	33.4817	−	5.30298i	1.07670	−	0.170532i	0.669503	+	0.742809i	$0.266507\pi$
$968$	−34.6800	−	2.19254i	−1.11466	−	0.0704710i
$969$	0.635239	−	0.874331i	0.0204068	−	0.0280876i
$970$	−30.5664	−	1.70548i	−0.981428	−	0.0547597i
$971$	21.1106	+	29.0562i	0.677471	+	0.932458i	0.999900	−	0.0141351i	$-0.00449951\pi$
$971$	21.1106	+	29.0562i	0.677471	+	0.932458i	−0.322429	+	0.946594i	$0.604500\pi$
$972$	0.637532	+	1.89567i	0.0204488	+	0.0608035i
$973$	1.68272	+	0.857390i	0.0539456	+	0.0274867i
$974$	5.25169	+	21.3905i	0.168275	+	0.685396i
$975$	25.6417	+	17.2795i	0.821192	+	0.553388i
$976$	29.0155	−	41.7115i	0.928763	−	1.33515i
$977$	−4.33631	+	8.51049i	−0.138731	+	0.272275i	−0.949910	−	0.312523i	$-0.898826\pi$
$977$	−4.33631	+	8.51049i	−0.138731	+	0.272275i	0.811179	+	0.584797i	$0.198826\pi$
$978$	−19.2673	+	1.61594i	−0.616100	+	0.0516720i
$979$	−46.2870	+	33.6295i	−1.47934	+	1.07480i
$980$	3.93864	−	30.3283i	0.125815	−	0.968803i
$981$	−0.597733	−	0.434279i	−0.0190842	−	0.0138654i
$982$	6.63694	+	4.02040i	0.211793	+	0.128296i
$983$	0.279959	+	1.76759i	0.00892931	+	0.0563775i	0.991751	−	0.128182i	$-0.0409142\pi$
$983$	0.279959	+	1.76759i	0.00892931	+	0.0563775i	−0.982821	+	0.184559i	$0.940914\pi$
$984$	−1.49039	+	0.644406i	−0.0475118	+	0.0205429i
$985$	−29.7600	+	5.25407i	−0.948232	+	0.167409i
$986$	−7.74131	+	4.79872i	−0.246534	+	0.152822i
$987$	0.399415	+	0.783896i	0.0127135	+	0.0249517i
$988$	−9.46920	+	13.3187i	−0.301255	+	0.423724i
$989$	68.6242	−	22.2974i	2.18212	−	0.709015i
$990$	15.1814	−	1.54379i	0.482495	−	0.0490649i
$991$	−28.1168	−	9.13569i	−0.893159	−	0.290205i	−0.173748	−	0.984790i	$-0.555588\pi$
$991$	−28.1168	−	9.13569i	−0.893159	−	0.290205i	−0.719410	+	0.694585i	$0.755588\pi$
$992$	−18.1622	−	3.87018i	−0.576650	−	0.122878i
$993$	9.47071	−	9.47071i	0.300544	−	0.300544i
$994$	−0.377204	−	0.153979i	−0.0119642	−	0.00488392i
$995$	51.6886	−	17.8102i	1.63864	−	0.564622i
$996$	2.46191	−	4.95693i	0.0780085	−	0.157066i
$997$	−16.1849	−	2.56343i	−0.512580	−	0.0811847i	−0.105214	−	0.994450i	$-0.533553\pi$
$997$	−16.1849	−	2.56343i	−0.512580	−	0.0811847i	−0.407366	+	0.913265i	$0.633553\pi$
$998$	−49.6970	−	11.6617i	−1.57313	−	0.369144i
$999$	5.05007			0.159777

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.w.a.67.3	✓	240
3.2	odd	2		900.2.bj.f.667.28		240
4.3	odd	2	inner	300.2.w.a.67.24	yes	240
12.11	even	2		900.2.bj.f.667.7		240
25.3	odd	20	inner	300.2.w.a.103.24	yes	240
75.53	even	20		900.2.bj.f.703.7		240
100.3	even	20	inner	300.2.w.a.103.3	yes	240
300.203	odd	20		900.2.bj.f.703.28		240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.w.a.67.3	✓	240	1.1	even	1	trivial
300.2.w.a.67.24	yes	240	4.3	odd	2	inner
300.2.w.a.103.3	yes	240	100.3	even	20	inner
300.2.w.a.103.24	yes	240	25.3	odd	20	inner
900.2.bj.f.667.7		240	12.11	even	2
900.2.bj.f.667.28		240	3.2	odd	2
900.2.bj.f.703.7		240	75.53	even	20
900.2.bj.f.703.28		240	300.203	odd	20

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:	\( N \)	\(=\)	\( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	300.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.37682 - 0.323077i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.79124 + 0.889636i) q^{4} +(-2.11409 + 0.728446i) q^{5} +(-1.30932 - 0.534481i) q^{6} +(0.284106 - 0.284106i) q^{7} +(-2.17879 - 1.80357i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-1.37682 - 0.323077i) q^{2} +(0.987688 + 0.156434i) q^{3} +(1.79124 + 0.889636i) q^{4} +(-2.11409 + 0.728446i) q^{5} +(-1.30932 - 0.534481i) q^{6} +(0.284106 - 0.284106i) q^{7} +(-2.17879 - 1.80357i) q^{8} +(0.951057 + 0.309017i) q^{9} +(3.14605 - 0.319922i) q^{10} +(4.58935 - 1.49117i) q^{11} +(1.63002 + 1.15890i) q^{12} +(2.80753 + 5.51008i) q^{13} +(-0.482950 + 0.299374i) q^{14} +(-2.20201 + 0.388762i) q^{15} +(2.41710 + 3.18711i) q^{16} +(-0.127955 - 0.807879i) q^{17} +(-1.20959 - 0.732724i) q^{18} +(1.06893 + 0.776624i) q^{19} +(-4.43489 - 0.575946i) q^{20} +(0.325052 - 0.236164i) q^{21} +(-6.80045 + 0.570350i) q^{22} +(-2.81503 + 5.52481i) q^{23} +(-1.86982 - 2.12221i) q^{24} +(3.93873 - 3.08000i) q^{25} +(-2.08526 - 8.49341i) q^{26} +(0.891007 + 0.453990i) q^{27} +(0.761654 - 0.256152i) q^{28} +(4.62807 + 6.37000i) q^{29} +(3.15737 + 0.176168i) q^{30} +(1.92954 - 2.65579i) q^{31} +(-2.29821 - 5.16897i) q^{32} +(4.76612 - 0.754879i) q^{33} +(-0.0848364 + 1.15364i) q^{34} +(-0.393669 + 0.807582i) q^{35} +(1.42866 + 1.39962i) q^{36} +(4.49965 - 2.29269i) q^{37} +(-1.22081 - 1.41461i) q^{38} +(1.91099 + 5.88144i) q^{39} +(5.91996 + 2.22579i) q^{40} +(0.177400 - 0.545980i) q^{41} +(-0.523837 + 0.220138i) q^{42} +(-8.22849 - 8.22849i) q^{43} +(9.54723 + 1.41180i) q^{44} +(-2.23572 + 0.0395044i) q^{45} +(5.66072 - 6.69717i) q^{46} +(-0.342542 + 2.16273i) q^{47} +(1.88876 + 3.52599i) q^{48} +6.83857i q^{49} +(-6.41799 + 2.96807i) q^{50} -0.817949i q^{51} +(0.126992 + 12.3676i) q^{52} +(0.486296 - 3.07035i) q^{53} +(-1.08008 - 0.912925i) q^{54} +(-8.61605 + 6.49556i) q^{55} +(-1.13141 + 0.106600i) q^{56} +(0.934280 + 0.934280i) q^{57} +(-4.31400 - 10.2655i) q^{58} +(2.94306 - 9.05779i) q^{59} +(-4.29020 - 1.26263i) q^{60} +(-3.92536 - 12.0810i) q^{61} +(-3.51465 + 3.03314i) q^{62} +(0.357995 - 0.182407i) q^{63} +(1.49424 + 7.85921i) q^{64} +(-9.94915 - 9.60366i) q^{65} +(-6.80595 - 0.500496i) q^{66} +(-10.4974 + 1.66262i) q^{67} +(0.489519 - 1.56094i) q^{68} +(-3.64464 + 5.01642i) q^{69} +(0.802922 - 0.984705i) q^{70} +(0.421456 + 0.580085i) q^{71} +(-1.51482 - 2.38858i) q^{72} +(-0.125834 - 0.0641158i) q^{73} +(-6.93590 + 1.70287i) q^{74} +(4.37206 - 2.42592i) q^{75} +(1.22380 + 2.34208i) q^{76} +(0.880212 - 1.72751i) q^{77} +(-0.730927 - 8.71505i) q^{78} +(-0.419915 + 0.305086i) q^{79} +(-7.43159 - 4.97710i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-0.420640 + 0.694399i) q^{82} +(-0.432904 - 2.73325i) q^{83} +(0.792348 - 0.133849i) q^{84} +(0.859005 + 1.61472i) q^{85} +(8.67067 + 13.9875i) q^{86} +(3.57461 + 7.01556i) q^{87} +(-12.6887 - 5.02829i) q^{88} +(-11.2762 + 3.66387i) q^{89} +(3.09094 + 0.667920i) q^{90} +(2.36308 + 0.767813i) q^{91} +(-9.95747 + 7.39192i) q^{92} +(2.32124 - 2.32124i) q^{93} +(1.17035 - 2.86701i) q^{94} +(-2.82554 - 0.863192i) q^{95} +(-1.46131 - 5.46485i) q^{96} +(-9.56179 - 1.51444i) q^{97} +(2.20939 - 9.41545i) q^{98} +4.82553 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q + 12 q^{8}+O(q^{10}) \) 240 * q + 12 * q^8	\( 240 q + 12 q^{8} + 8 q^{10} + 8 q^{12} + 4 q^{13} + 20 q^{17} - 20 q^{20} - 12 q^{22} + 20 q^{25} + 4 q^{28} - 8 q^{30} - 20 q^{32} - 8 q^{33} - 4 q^{37} - 76 q^{38} - 92 q^{40} - 20 q^{42} - 140 q^{44} - 4 q^{45} - 16 q^{48} - 164 q^{50} - 172 q^{52} - 4 q^{53} - 120 q^{58} + 20 q^{60} - 44 q^{62} - 60 q^{64} - 20 q^{65} + 16 q^{68} - 44 q^{70} + 12 q^{72} - 44 q^{73} - 48 q^{77} + 24 q^{78} - 4 q^{80} + 60 q^{81} + 24 q^{82} + 80 q^{84} - 64 q^{85} + 60 q^{88} - 260 q^{89} + 48 q^{90} + 144 q^{92} - 64 q^{93} + 40 q^{94} - 20 q^{96} - 180 q^{97} + 256 q^{98}+O(q^{100}) \) 240 * q + 12 * q^8 + 8 * q^10 + 8 * q^12 + 4 * q^13 + 20 * q^17 - 20 * q^20 - 12 * q^22 + 20 * q^25 + 4 * q^28 - 8 * q^30 - 20 * q^32 - 8 * q^33 - 4 * q^37 - 76 * q^38 - 92 * q^40 - 20 * q^42 - 140 * q^44 - 4 * q^45 - 16 * q^48 - 164 * q^50 - 172 * q^52 - 4 * q^53 - 120 * q^58 + 20 * q^60 - 44 * q^62 - 60 * q^64 - 20 * q^65 + 16 * q^68 - 44 * q^70 + 12 * q^72 - 44 * q^73 - 48 * q^77 + 24 * q^78 - 4 * q^80 + 60 * q^81 + 24 * q^82 + 80 * q^84 - 64 * q^85 + 60 * q^88 - 260 * q^89 + 48 * q^90 + 144 * q^92 - 64 * q^93 + 40 * q^94 - 20 * q^96 - 180 * q^97 + 256 * q^98

Introduction

L-functions

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