LMFDB - Embedded newform 300.2.n.a.191.56

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [300,2,Mod(11,300)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(300, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 8]))

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

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

chi := DirichletCharacter("300.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 300 = 2^{2} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	300.n (of order $10$, degree $4$, 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:	$224$
Relative dimension:	$56$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			191.56
Character	$\chi$	$=$	300.191
Dual form			300.2.n.a.11.56

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.40873 + 0.124406i) q^{2} +(-0.392752 - 1.68693i) q^{3} +(1.96905 + 0.350510i) q^{4} +(2.20342 - 0.380687i) q^{5} +(-0.343417 - 2.42530i) q^{6} +0.0822219i q^{7} +(2.73025 + 0.738736i) q^{8} +(-2.69149 + 1.32509i) q^{9} +O(q^{10})$	\(q+(1.40873 + 0.124406i) q^{2} +(-0.392752 - 1.68693i) q^{3} +(1.96905 + 0.350510i) q^{4} +(2.20342 - 0.380687i) q^{5} +(-0.343417 - 2.42530i) q^{6} +0.0822219i q^{7} +(2.73025 + 0.738736i) q^{8} +(-2.69149 + 1.32509i) q^{9} +(3.15139 - 0.262166i) q^{10} +(-2.26115 - 1.64282i) q^{11} +(-0.182061 - 3.45931i) q^{12} +(-3.85618 + 2.80168i) q^{13} +(-0.0102289 + 0.115829i) q^{14} +(-1.50759 - 3.56751i) q^{15} +(3.75429 + 1.38034i) q^{16} +(3.83252 + 1.24526i) q^{17} +(-3.95644 + 1.53186i) q^{18} +(-2.03592 - 0.661512i) q^{19} +(4.47208 + 0.0227314i) q^{20} +(0.138703 - 0.0322929i) q^{21} +(-2.98097 - 2.59559i) q^{22} +(-1.93558 - 1.40628i) q^{23} +(0.173886 - 4.89589i) q^{24} +(4.71015 - 1.67763i) q^{25} +(-5.78086 + 3.46707i) q^{26} +(3.29244 + 4.01993i) q^{27} +(-0.0288196 + 0.161899i) q^{28} +(3.40204 - 1.10539i) q^{29} +(-1.67997 - 5.21322i) q^{30} +(-2.91747 - 0.947944i) q^{31} +(5.11706 + 2.41159i) q^{32} +(-1.88326 + 4.45962i) q^{33} +(5.24407 + 2.23103i) q^{34} +(0.0313008 + 0.181170i) q^{35} +(-5.76413 + 1.66578i) q^{36} +(-7.33089 + 5.32620i) q^{37} +(-2.78577 - 1.18517i) q^{38} +(6.24076 + 5.40475i) q^{39} +(6.29713 + 0.588377i) q^{40} +(-4.77346 - 6.57011i) q^{41} +(0.199413 - 0.0282364i) q^{42} +8.76981i q^{43} +(-3.87648 - 4.02734i) q^{44} +(-5.42605 + 3.94436i) q^{45} +(-2.55176 - 2.22187i) q^{46} +(0.650533 + 2.00213i) q^{47} +(0.854038 - 6.87536i) q^{48} +6.99324 q^{49} +(6.84405 - 1.77736i) q^{50} +(0.595441 - 6.95428i) q^{51} +(-8.57500 + 4.16500i) q^{52} +(-7.15672 + 2.32536i) q^{53} +(4.13805 + 6.07260i) q^{54} +(-5.60766 - 2.75904i) q^{55} +(-0.0607403 + 0.224486i) q^{56} +(-0.316312 + 3.69428i) q^{57} +(4.93007 - 1.13396i) q^{58} +(-7.56329 + 5.49505i) q^{59} +(-1.71807 - 7.55303i) q^{60} +(-2.43750 - 1.77094i) q^{61} +(-3.99200 - 1.69835i) q^{62} +(-0.108952 - 0.221300i) q^{63} +(6.90854 + 4.03387i) q^{64} +(-7.43023 + 7.64128i) q^{65} +(-3.20781 + 6.04812i) q^{66} +(12.2429 + 3.97795i) q^{67} +(7.10993 + 3.79531i) q^{68} +(-1.61210 + 3.81751i) q^{69} +(0.0215558 + 0.259113i) q^{70} +(1.11371 + 3.42765i) q^{71} +(-8.32734 + 1.62954i) q^{72} +(-1.23678 - 0.898571i) q^{73} +(-10.9899 + 6.59118i) q^{74} +(-4.67998 - 7.28682i) q^{75} +(-3.77696 - 2.01616i) q^{76} +(0.135076 - 0.185916i) q^{77} +(8.11917 + 8.39023i) q^{78} +(4.51758 - 1.46785i) q^{79} +(8.79776 + 1.61227i) q^{80} +(5.48825 - 7.13296i) q^{81} +(-5.90716 - 9.84936i) q^{82} +(2.96963 - 9.13959i) q^{83} +(0.284431 - 0.0149694i) q^{84} +(8.91872 + 1.28485i) q^{85} +(-1.09102 + 12.3543i) q^{86} +(-3.20088 - 5.30487i) q^{87} +(-4.95989 - 6.15570i) q^{88} +(6.21625 - 8.55594i) q^{89} +(-8.13455 + 4.88151i) q^{90} +(-0.230359 - 0.317062i) q^{91} +(-3.31832 - 3.44747i) q^{92} +(-0.453274 + 5.29389i) q^{93} +(0.667348 + 2.90140i) q^{94} +(-4.73783 - 0.682541i) q^{95} +(2.05845 - 9.57929i) q^{96} +(-2.56567 - 7.89632i) q^{97} +(9.85159 + 0.870003i) q^{98} +(8.26274 + 1.42540i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9	$ 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) $ 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Display 100 coefficients 10 coefficients

Character values

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

$n$	$101$	$151$	$277$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	1.40873	+	0.124406i	0.996123	+	0.0879685i
$2$	1.40873	+	0.124406i	0.996123	+	0.0879685i
$3$	−0.392752	−	1.68693i	−0.226756	−	0.973952i
$3$	−0.392752	−	1.68693i	−0.226756	−	0.973952i
$4$	1.96905	+	0.350510i	0.984523	+	0.175255i
$5$	2.20342	−	0.380687i	0.985401	−	0.170249i
$5$	2.20342	−	0.380687i	0.985401	−	0.170249i
$6$	−0.343417	−	2.42530i	−0.140200	−	0.990123i
$7$			0.0822219i			0.0310770i	0.999879	+	0.0155385i	$0.00494625\pi$
$7$			0.0822219i			0.0310770i	−0.999879	+	0.0155385i	$0.995054\pi$
$8$	2.73025	+	0.738736i	0.965289	+	0.261183i
$9$	−2.69149	+	1.32509i	−0.897164	+	0.441698i
$10$	3.15139	−	0.262166i	0.996558	−	0.0829042i
$11$	−2.26115	−	1.64282i	−0.681761	−	0.495328i	0.192180	−	0.981360i	$-0.438444\pi$
$11$	−2.26115	−	1.64282i	−0.681761	−	0.495328i	−0.873941	+	0.486031i	$0.838444\pi$
$12$	−0.182061	−	3.45931i	−0.0525564	−	0.998618i
$13$	−3.85618	+	2.80168i	−1.06951	+	0.777045i	−0.975824	−	0.218557i	$-0.929865\pi$
$13$	−3.85618	+	2.80168i	−1.06951	+	0.777045i	−0.0936864	+	0.995602i	$0.529865\pi$
$14$	−0.0102289	+	0.115829i	−0.00273380	+	0.0309565i
$15$	−1.50759	−	3.56751i	−0.389259	−	0.921128i
$16$	3.75429	+	1.38034i	0.938571	+	0.345085i
$17$	3.83252	+	1.24526i	0.929522	+	0.302020i	0.734367	−	0.678752i	$-0.237479\pi$
$17$	3.83252	+	1.24526i	0.929522	+	0.302020i	0.195155	+	0.980772i	$0.437479\pi$
$18$	−3.95644	+	1.53186i	−0.932541	+	0.361064i
$19$	−2.03592	−	0.661512i	−0.467073	−	0.151761i	0.0660193	−	0.997818i	$-0.478970\pi$
$19$	−2.03592	−	0.661512i	−0.467073	−	0.151761i	−0.533092	+	0.846057i	$0.678970\pi$
$20$	4.47208	+	0.0227314i	0.999987	+	0.00508290i
$21$	0.138703	−	0.0322929i	0.0302675	−	0.00704688i
$22$	−2.98097	−	2.59559i	−0.635545	−	0.553382i
$23$	−1.93558	−	1.40628i	−0.403595	−	0.293229i	0.367408	−	0.930060i	$-0.380245\pi$
$23$	−1.93558	−	1.40628i	−0.403595	−	0.293229i	−0.771004	+	0.636830i	$0.780245\pi$
$24$	0.173886	−	4.89589i	0.0354943	−	0.999370i
$25$	4.71015	−	1.67763i	0.942031	−	0.335526i
$26$	−5.78086	+	3.46707i	−1.13372	+	0.679949i
$27$	3.29244	+	4.01993i	0.633630	+	0.773636i
$28$	−0.0288196	+	0.161899i	−0.00544639	+	0.0305960i
$29$	3.40204	−	1.10539i	0.631742	−	0.205265i	0.0243955	−	0.999702i	$-0.492234\pi$
$29$	3.40204	−	1.10539i	0.631742	−	0.205265i	0.607347	+	0.794437i	$0.292234\pi$
$30$	−1.67997	−	5.21322i	−0.306720	−	0.951800i
$31$	−2.91747	−	0.947944i	−0.523993	−	0.170256i	0.0350636	−	0.999385i	$-0.488837\pi$
$31$	−2.91747	−	0.947944i	−0.523993	−	0.170256i	−0.559057	+	0.829129i	$0.688837\pi$
$32$	5.11706	+	2.41159i	0.904576	+	0.426312i
$33$	−1.88326	+	4.45962i	−0.327833	+	0.776321i
$34$	5.24407	+	2.23103i	0.899351	+	0.382618i
$35$	0.0313008	+	0.181170i	0.00529081	+	0.0306233i
$36$	−5.76413	+	1.66578i	−0.960688	+	0.277630i
$37$	−7.33089	+	5.32620i	−1.20519	+	0.875622i	−0.994785	−	0.101992i	$-0.967478\pi$
$37$	−7.33089	+	5.32620i	−1.20519	+	0.875622i	−0.210405	+	0.977614i	$0.567478\pi$
$38$	−2.78577	−	1.18517i	−0.451912	−	0.192261i
$39$	6.24076	+	5.40475i	0.999322	+	0.865452i
$40$	6.29713	+	0.588377i	0.995663	+	0.0930306i
$41$	−4.77346	−	6.57011i	−0.745490	−	1.02608i	−0.998284	−	0.0585585i	$-0.981350\pi$
$41$	−4.77346	−	6.57011i	−0.745490	−	1.02608i	0.252794	−	0.967520i	$-0.418650\pi$
$42$	0.199413	−	0.0282364i	0.0307700	−	0.00435698i
$43$			8.76981i			1.33738i	0.743540	+	0.668692i	$0.233145\pi$
$43$			8.76981i			1.33738i	−0.743540	+	0.668692i	$0.766855\pi$
$44$	−3.87648	−	4.02734i	−0.584401	−	0.607144i
$45$	−5.42605	+	3.94436i	−0.808868	+	0.587991i
$46$	−2.55176	−	2.22187i	−0.376236	−	0.327596i
$47$	0.650533	+	2.00213i	0.0948900	+	0.292041i	0.987225	−	0.159332i	$-0.0509342\pi$
$47$	0.650533	+	2.00213i	0.0948900	+	0.292041i	−0.892335	+	0.451374i	$0.850934\pi$
$48$	0.854038	−	6.87536i	0.123270	−	0.992373i
$49$	6.99324			0.999034
$50$	6.84405	−	1.77736i	0.967895	−	0.251356i
$51$	0.595441	−	6.95428i	0.0833785	−	0.973795i
$52$	−8.57500	+	4.16500i	−1.18914	+	0.577582i
$53$	−7.15672	+	2.32536i	−0.983051	+	0.319413i	−0.756073	−	0.654487i	$-0.772884\pi$
$53$	−7.15672	+	2.32536i	−0.983051	+	0.319413i	−0.226978	+	0.973900i	$0.572884\pi$
$54$	4.13805	+	6.07260i	0.563118	+	0.826377i
$55$	−5.60766	−	2.75904i	−0.756137	−	0.372028i
$56$	−0.0607403	+	0.224486i	−0.00811676	+	0.0299983i
$57$	−0.316312	+	3.69428i	−0.0418966	+	0.489319i
$58$	4.93007	−	1.13396i	0.647350	−	0.148896i
$59$	−7.56329	+	5.49505i	−0.984656	+	0.715395i	−0.958744	−	0.284269i	$-0.908249\pi$
$59$	−7.56329	+	5.49505i	−0.984656	+	0.715395i	−0.0259120	+	0.999664i	$0.508249\pi$
$60$	−1.71807	−	7.55303i	−0.221802	−	0.975092i
$61$	−2.43750	−	1.77094i	−0.312089	−	0.226746i	0.420703	−	0.907198i	$-0.361783\pi$
$61$	−2.43750	−	1.77094i	−0.312089	−	0.226746i	−0.732792	+	0.680452i	$0.761783\pi$
$62$	−3.99200	−	1.69835i	−0.506985	−	0.215691i
$63$	−0.108952	−	0.221300i	−0.0137266	−	0.0278811i
$64$	6.90854	+	4.03387i	0.863567	+	0.504234i
$65$	−7.43023	+	7.64128i	−0.921606	+	0.947784i
$66$	−3.20781	+	6.04812i	−0.394854	+	0.744472i
$67$	12.2429	+	3.97795i	1.49571	+	0.485984i	0.938762	−	0.344566i	$-0.111974\pi$
$67$	12.2429	+	3.97795i	1.49571	+	0.485984i	0.556943	+	0.830550i	$0.311974\pi$
$68$	7.10993	+	3.79531i	0.862206	+	0.460249i
$69$	−1.61210	+	3.81751i	−0.194074	+	0.459574i
$70$	0.0215558	+	0.259113i	0.00257641	+	0.0309700i
$71$	1.11371	+	3.42765i	0.132173	+	0.406787i	0.995140	−	0.0984739i	$-0.0313961\pi$
$71$	1.11371	+	3.42765i	0.132173	+	0.406787i	−0.862966	+	0.505261i	$0.831396\pi$
$72$	−8.32734	+	1.62954i	−0.981386	+	0.192043i
$73$	−1.23678	−	0.898571i	−0.144754	−	0.105170i	0.513051	−	0.858358i	$-0.328515\pi$
$73$	−1.23678	−	0.898571i	−0.144754	−	0.105170i	−0.657805	+	0.753188i	$0.728515\pi$
$74$	−10.9899	+	6.59118i	−1.27755	+	0.766209i
$75$	−4.67998	−	7.28682i	−0.540397	−	0.841410i
$76$	−3.77696	−	2.01616i	−0.433247	−	0.231269i
$77$	0.135076	−	0.185916i	0.0153933	−	0.0211871i
$78$	8.11917	+	8.39023i	0.919315	+	0.950006i
$79$	4.51758	−	1.46785i	0.508268	−	0.165146i	−0.0436467	−	0.999047i	$-0.513898\pi$
$79$	4.51758	−	1.46785i	0.508268	−	0.165146i	0.551914	+	0.833901i	$0.313898\pi$
$80$	8.79776	+	1.61227i	0.983620	+	0.180257i
$81$	5.48825	−	7.13296i	0.609805	−	0.792551i
$82$	−5.90716	−	9.84936i	−0.652337	−	1.08768i
$83$	2.96963	−	9.13959i	0.325960	−	1.00320i	−0.645046	−	0.764144i	$-0.723162\pi$
$83$	2.96963	−	9.13959i	0.325960	−	1.00320i	0.971006	−	0.239057i	$-0.0768382\pi$
$84$	0.284431	−	0.0149694i	0.0310340	−	0.00163329i
$85$	8.91872	+	1.28485i	0.967371	+	0.139361i
$86$	−1.09102	+	12.3543i	−0.117648	+	1.33220i
$87$	−3.20088	−	5.30487i	−0.343170	−	0.568741i
$88$	−4.95989	−	6.15570i	−0.528726	−	0.656199i
$89$	6.21625	−	8.55594i	0.658922	−	0.906928i	−0.340524	−	0.940236i	$-0.610604\pi$
$89$	6.21625	−	8.55594i	0.658922	−	0.906928i	0.999445	+	0.0333083i	$0.0106043\pi$
$90$	−8.13455	+	4.88151i	−0.857457	+	0.514556i
$91$	−0.230359	−	0.317062i	−0.0241482	−	0.0332371i
$92$	−3.31832	−	3.44747i	−0.345959	−	0.359423i
$93$	−0.453274	+	5.29389i	−0.0470024	+	0.548951i
$94$	0.667348	+	2.90140i	0.0688317	+	0.299256i
$95$	−4.73783	−	0.682541i	−0.486091	−	0.0700272i
$96$	2.05845	−	9.57929i	0.210090	−	0.977682i
$97$	−2.56567	−	7.89632i	−0.260504	−	0.801750i	−0.992695	−	0.120650i	$-0.961502\pi$
$97$	−2.56567	−	7.89632i	−0.260504	−	0.801750i	0.732191	−	0.681100i	$-0.238498\pi$
$98$	9.85159	+	0.870003i	0.995161	+	0.0878836i
$99$	8.26274	+	1.42540i	0.830437	+	0.143258i
$100$	9.86254	−	1.65238i	0.986254	−	0.165238i
$101$		−	12.0408i		−	1.19810i	−0.800711	−	0.599050i	$-0.795545\pi$
$101$		−	12.0408i		−	1.19810i	0.800711	−	0.599050i	$-0.204455\pi$
$102$	1.70397	−	9.72264i	0.168718	−	0.962685i
$103$	18.4706	−	6.00148i	1.81997	−	0.591343i	0.820151	−	0.572147i	$-0.193889\pi$
$103$	18.4706	−	6.00148i	1.81997	−	0.591343i	0.999816	−	0.0191961i	$-0.00611068\pi$
$104$	−12.5980	+	4.80058i	−1.23534	+	0.470736i
$105$	0.293328	−	0.123957i	0.0286259	−	0.0120970i
$106$	−10.3712	+	2.38546i	−1.00734	+	0.231697i
$107$	−19.5335			−1.88838			−0.944190	−	0.329402i	$-0.893153\pi$
$107$	−19.5335			−1.88838			−0.944190	+	0.329402i	$0.893153\pi$
$108$	5.07393	+	9.06947i	0.488239	+	0.872710i
$109$	1.24224	−	0.902543i	0.118985	−	0.0864479i	−0.526701	−	0.850051i	$-0.676571\pi$
$109$	1.24224	−	0.902543i	0.118985	−	0.0864479i	0.645687	+	0.763603i	$0.276571\pi$
$110$	−7.55645	−	4.58437i	−0.720479	−	0.437102i
$111$	11.8642	+	10.2748i	1.12610	+	0.975245i
$112$	−0.113494	+	0.308685i	−0.0107242	+	0.0291680i
$113$	−9.23389	−	12.7094i	−0.868651	−	1.19560i	−0.979437	−	0.201751i	$-0.935337\pi$
$113$	−9.23389	−	12.7094i	−0.868651	−	1.19560i	0.110786	−	0.993844i	$-0.464663\pi$
$114$	−0.905191	+	5.16489i	−0.0847789	+	0.483737i
$115$	−4.80025	−	2.36178i	−0.447625	−	0.220237i
$116$	7.08622	−	0.984113i	0.657939	−	0.0913726i
$117$	6.66638	−	12.6505i	0.616307	−	1.16954i
$118$	−11.3383	+	6.80013i	−1.04377	+	0.626003i
$119$	−0.102388	+	0.315117i	−0.00938587	+	0.0288867i
$120$	−1.48066	−	10.8539i	−0.135165	−	0.990823i
$121$	−0.985260	−	3.03232i	−0.0895691	−	0.275665i
$122$	−3.21346	−	2.79802i	−0.290933	−	0.253321i
$123$	−9.20855	+	10.6329i	−0.830307	+	0.958740i
$124$	−5.41237	−	2.88915i	−0.486045	−	0.259453i
$125$	9.73981	−	5.48963i	0.871156	−	0.491007i
$126$	−0.125953	−	0.325306i	−0.0112208	−	0.0289805i
$127$	−9.60363	+	13.2183i	−0.852185	+	1.17293i	0.131193	+	0.991357i	$0.458119\pi$
$127$	−9.60363	+	13.2183i	−0.852185	+	1.17293i	−0.983377	+	0.181575i	$0.941881\pi$
$128$	9.23043	+	6.54210i	0.815863	+	0.578246i
$129$	14.7941	−	3.44437i	1.30255	−	0.303259i
$130$	−11.4178	+	9.84013i	−1.00141	+	0.863037i
$131$	4.71724	−	14.5182i	0.412147	−	1.26846i	−0.502631	−	0.864501i	$-0.667634\pi$
$131$	4.71724	−	14.5182i	0.412147	−	1.26846i	0.914778	−	0.403957i	$-0.132366\pi$
$132$	−5.27136	+	8.12111i	−0.458813	+	0.706852i
$133$	0.0543908	−	0.167398i	0.00471628	−	0.0145152i
$134$	16.7520	+	7.12695i	1.44716	+	0.615675i
$135$	8.78497	+	7.60423i	0.756090	+	0.654468i
$136$	9.54382	+	6.23109i	0.818376	+	0.534312i
$137$	12.4775	+	17.1739i	1.06603	+	1.46726i	0.874034	+	0.485866i	$0.161496\pi$
$137$	12.4775	+	17.1739i	1.06603	+	1.46726i	0.191994	+	0.981396i	$0.438504\pi$
$138$	−2.74593	+	5.17729i	−0.233749	+	0.440720i
$139$	0.484944	−	0.667468i	0.0411324	−	0.0566139i	−0.787955	−	0.615732i	$-0.788860\pi$
$139$	0.484944	−	0.667468i	0.0411324	−	0.0566139i	0.829088	+	0.559118i	$0.188860\pi$
$140$	−0.00186902	+	0.367703i	−0.000157961	+	0.0310766i
$141$	3.12197	−	1.88375i	0.262917	−	0.158640i
$142$	1.14250	+	4.96719i	0.0958764	+	0.416838i
$143$	13.3220			1.11404
$144$	−11.9337	+	1.25961i	−0.994476	+	0.104967i
$145$	7.07532	−	3.73075i	0.587573	−	0.309822i
$146$	−1.63050	−	1.41971i	−0.134941	−	0.117496i
$147$	−2.74661	−	11.7971i	−0.226537	−	0.973011i
$148$	−16.3017	+	7.91799i	−1.33999	+	0.650854i
$149$			2.64853i			0.216976i	0.994098	+	0.108488i	$0.0346010\pi$
$149$			2.64853i			0.216976i	−0.994098	+	0.108488i	$0.965399\pi$
$150$	−5.68630	−	10.8474i	−0.464285	−	0.885686i
$151$			14.9712i			1.21834i	0.793039	+	0.609171i	$0.208498\pi$
$151$			14.9712i			1.21834i	−0.793039	+	0.609171i	$0.791502\pi$
$152$	−5.06990	−	3.31010i	−0.411223	−	0.268485i
$153$	−11.9653	+	1.72684i	−0.967335	+	0.139607i
$154$	0.213414	−	0.245101i	0.0171974	−	0.0197508i
$155$	−6.78930	−	0.978078i	−0.545329	−	0.0785611i
$156$	10.3939	+	12.8296i	0.832181	+	1.02719i
$157$	−6.48646			−0.517676			−0.258838	−	0.965921i	$-0.583340\pi$
$157$	−6.48646			−0.517676			−0.258838	+	0.965921i	$0.583340\pi$
$158$	6.54667	−	1.50579i	0.520825	−	0.119794i
$159$	6.73354	+	11.1596i	0.534005	+	0.885015i
$160$	12.1931	+	3.36575i	0.963949	+	0.266086i
$161$	0.115627	−	0.159147i	0.00911268	−	0.0125425i
$162$	8.61885	−	9.36565i	0.677161	−	0.735835i
$163$	−12.4960	−	17.1993i	−0.978763	−	1.34715i	−0.937493	−	0.348004i	$-0.886860\pi$
$163$	−12.4960	−	17.1993i	−0.978763	−	1.34715i	−0.0412703	−	0.999148i	$-0.513140\pi$
$164$	−7.09628	−	14.6100i	−0.554126	−	1.14085i
$165$	−2.45189	+	10.5434i	−0.190879	+	0.820801i
$166$	5.32044	−	12.5058i	0.412946	−	0.970637i
$167$	−6.22266	+	19.1514i	−0.481524	+	1.48198i	0.355430	+	0.934703i	$0.384334\pi$
$167$	−6.22266	+	19.1514i	−0.481524	+	1.48198i	−0.836953	+	0.547274i	$0.815666\pi$
$168$	0.402550	+	0.0142972i	0.0310574	+	0.00110306i
$169$	3.00348	−	9.24377i	0.231037	−	0.711059i
$170$	12.4042	+	2.91955i	0.951361	+	0.223919i
$171$	6.35624	−	0.917339i	0.486074	−	0.0701507i
$172$	−3.07391	+	17.2682i	−0.234383	+	1.31669i
$173$	2.57632	−	3.54600i	0.195874	−	0.269597i	−0.699771	−	0.714367i	$-0.746715\pi$
$173$	2.57632	−	3.54600i	0.195874	−	0.269597i	0.895645	+	0.444770i	$0.146715\pi$
$174$	−3.84921	−	7.87134i	−0.291808	−	0.596725i
$175$	0.137938	+	0.387278i	0.0104271	+	0.0292755i
$176$	−6.22134	−	9.28876i	−0.468951	−	0.700167i
$177$	12.2403	+	10.6006i	0.920036	+	0.796788i
$178$	9.82144	−	11.2797i	0.736148	−	0.845447i
$179$	−5.06138	−	15.5773i	−0.378305	−	1.16430i	−0.941222	−	0.337789i	$-0.890321\pi$
$179$	−5.06138	−	15.5773i	−0.378305	−	1.16430i	0.562917	−	0.826514i	$-0.309679\pi$
$180$	−12.0667	+	5.86475i	−0.899397	+	0.437132i
$181$	−1.35207	+	4.16123i	−0.100498	+	0.309302i	−0.988648	−	0.150253i	$-0.951991\pi$
$181$	−1.35207	+	4.16123i	−0.100498	+	0.309302i	0.888149	+	0.459555i	$0.151991\pi$
$182$	−0.285070	−	0.475313i	−0.0211308	−	0.0352326i
$183$	−2.03013	+	4.80744i	−0.150072	+	0.355376i
$184$	−4.24574	−	5.26937i	−0.313000	−	0.388463i
$185$	−14.1254	+	14.5267i	−1.03852	+	1.06802i
$186$	−1.29713	+	7.40127i	−0.0951105	+	0.542688i
$187$	−6.62015	−	9.11185i	−0.484113	−	0.666324i
$188$	0.579161	+	4.17031i	0.0422397	+	0.304151i
$189$	−0.330527	+	0.270711i	−0.0240423	+	0.0196913i
$190$	−6.58942	−	1.55093i	−0.478047	−	0.112516i
$191$	13.2471	−	9.62455i	0.958523	−	0.696408i	0.00571595	−	0.999984i	$-0.498181\pi$
$191$	13.2471	−	9.62455i	0.958523	−	0.696408i	0.952807	+	0.303576i	$0.0981805\pi$
$192$	4.09152	−	13.2386i	0.295280	−	0.955411i
$193$	8.27842			0.595894			0.297947	−	0.954582i	$-0.403698\pi$
$193$	8.27842			0.595894			0.297947	+	0.954582i	$0.403698\pi$
$194$	−2.63199	−	11.4430i	−0.188966	−	0.821558i
$195$	15.8086	+	9.53317i	1.13207	+	0.682685i
$196$	13.7700	+	2.45120i	0.983572	+	0.175086i
$197$	11.6056	−	3.77088i	0.826864	−	0.268664i	0.135140	−	0.990827i	$-0.456852\pi$
$197$	11.6056	−	3.77088i	0.826864	−	0.268664i	0.691724	+	0.722162i	$0.256852\pi$
$198$	11.4627	+	3.03594i	0.814615	+	0.215755i
$199$		−	21.9186i		−	1.55377i	−0.629642	−	0.776885i	$-0.716799\pi$
$199$		−	21.9186i		−	1.55377i	0.629642	−	0.776885i	$-0.283201\pi$
$200$	14.0992	−	1.10079i	0.996966	−	0.0778377i
$201$	1.90212	−	22.2153i	0.134165	−	1.56694i
$202$	1.49795	−	16.9622i	0.105395	−	1.19346i
$203$	0.0908872	+	0.279722i	0.00637903	+	0.0196326i
$204$	3.61000	−	13.4846i	0.252750	−	0.944111i
$205$	−13.0191	−	12.6595i	−0.909295	−	0.884181i
$206$	26.7668	−	6.15660i	1.86493	−	0.428951i
$207$	7.07304	+	1.22016i	0.491610	+	0.0848072i
$208$	−18.3444	+	5.19545i	−1.27196	+	0.360240i
$209$	3.51678	+	4.84043i	0.243261	+	0.334819i
$210$	0.428641	−	0.138131i	0.0295791	−	0.00953192i
$211$	−0.373295	+	0.513796i	−0.0256987	+	0.0353712i	−0.821673	−	0.569959i	$-0.806959\pi$
$211$	−0.373295	+	0.513796i	−0.0256987	+	0.0353712i	0.795974	+	0.605330i	$0.206959\pi$
$212$	−14.9070	+	2.07024i	−1.02381	+	0.142184i
$213$	5.34481	−	3.22498i	0.366220	−	0.220972i
$214$	−27.5175	−	2.43010i	−1.88106	−	0.166118i
$215$	3.33856	+	19.3236i	0.227688	+	1.31786i
$216$	6.01951	+	13.4077i	0.409576	+	0.912276i
$217$	0.0779418	−	0.239880i	0.00529103	−	0.0162841i
$218$	1.86227	−	1.11690i	0.126129	−	0.0756458i
$219$	−1.03008	+	2.43928i	−0.0696065	+	0.164831i
$220$	−10.0747	−	7.39821i	−0.679235	−	0.498787i
$221$	−18.2677	+	5.93553i	−1.22882	+	0.399267i
$222$	15.4352	+	15.9505i	1.03594	+	1.07053i
$223$	5.21478	−	7.17752i	0.349207	−	0.480643i	−0.597895	−	0.801574i	$-0.703996\pi$
$223$	5.21478	−	7.17752i	0.349207	−	0.480643i	0.947102	+	0.320932i	$0.103996\pi$
$224$	−0.198285	+	0.420734i	−0.0132485	+	0.0281115i
$225$	−10.4543	+	10.7567i	−0.696955	+	0.717115i
$226$	−11.4269	−	19.0528i	−0.760109	−	1.26737i
$227$	7.25355	+	5.27002i	0.481435	+	0.349783i	0.801881	−	0.597484i	$-0.203833\pi$
$227$	7.25355	+	5.27002i	0.481435	+	0.349783i	−0.320446	+	0.947267i	$0.603833\pi$
$228$	−1.91772	+	7.16333i	−0.127004	+	0.474403i
$229$	1.33779	+	4.11730i	0.0884039	+	0.272079i	0.985479	−	0.169800i	$-0.0543121\pi$
$229$	1.33779	+	4.11730i	0.0884039	+	0.272079i	−0.897075	+	0.441879i	$0.854312\pi$
$230$	−6.46844	−	3.92429i	−0.426516	−	0.258760i
$231$	−0.366679	−	0.154845i	−0.0241257	−	0.0101880i
$232$	10.1050	−	0.504781i	0.663426	−	0.0331405i
$233$	−1.93299	−	0.628067i	−0.126635	−	0.0411461i	0.245014	−	0.969520i	$-0.421207\pi$
$233$	−1.93299	−	0.628067i	−0.126635	−	0.0411461i	−0.371649	+	0.928373i	$0.621207\pi$
$234$	10.9649	−	16.9918i	0.716800	−	1.11079i
$235$	2.19559	+	4.16390i	0.143224	+	0.271623i
$236$	−16.8185	+	8.16900i	−1.09479	+	0.531757i
$237$	−4.25046	−	7.04436i	−0.276097	−	0.457580i
$238$	−0.183439	+	0.431177i	−0.0118906	+	0.0279491i
$239$	9.84559	+	7.15324i	0.636858	+	0.462704i	0.858769	−	0.512362i	$-0.171230\pi$
$239$	9.84559	+	7.15324i	0.636858	+	0.462704i	−0.221911	+	0.975067i	$0.571230\pi$
$240$	−0.735554	−	15.4745i	−0.0474798	−	0.998872i
$241$	−16.5433	+	12.0194i	−1.06565	+	0.774238i	−0.975125	−	0.221657i	$-0.928854\pi$
$241$	−16.5433	+	12.0194i	−1.06565	+	0.774238i	−0.0905221	+	0.995894i	$0.528854\pi$
$242$	−1.01073	−	4.39429i	−0.0649720	−	0.282476i
$243$	−14.1884	−	6.45682i	−0.910183	−	0.414205i
$244$	−4.17881	−	4.34144i	−0.267521	−	0.277932i
$245$	15.4091	−	2.66224i	0.984449	−	0.170084i
$246$	−14.2952	+	13.8334i	−0.911427	+	0.881983i
$247$	9.70422	−	3.15309i	0.617465	−	0.200626i
$248$	−7.26515	−	4.74337i	−0.461337	−	0.301204i
$249$	−16.5842	−	1.41998i	−1.05098	−	0.0899874i
$250$	14.4037	−	6.52171i	0.910971	−	0.412469i
$251$	0.315067			0.0198868			0.00994342	−	0.999951i	$-0.496835\pi$
$251$	0.315067			0.0198868			0.00994342	+	0.999951i	$0.496835\pi$
$252$	−0.136964	−	0.473938i	−0.00862789	−	0.0298553i
$253$	2.06636	+	6.35960i	0.129911	+	0.399825i
$254$	−15.1734	+	17.4262i	−0.952062	+	1.09342i
$255$	−1.33540	−	15.5499i	−0.0836258	−	0.973773i
$256$	12.1893	+	10.3644i	0.761832	+	0.647774i
$257$		−	3.29754i		−	0.205695i	−0.994697	−	0.102847i	$-0.967205\pi$
$257$		−	3.29754i		−	0.205695i	0.994697	−	0.102847i	$-0.0327953\pi$
$258$	21.2694	−	3.01171i	1.32417	−	0.187501i
$259$	−0.437931	−	0.602760i	−0.0272117	−	0.0374537i
$260$	−17.3088	+	12.4417i	−1.07345	+	0.771599i
$261$	−7.69180	+	7.48316i	−0.476111	+	0.463196i
$262$	8.45147	−	19.8653i	0.522134	−	1.22729i
$263$	−3.85860	+	2.80344i	−0.237931	+	0.172867i	−0.700361	−	0.713789i	$-0.746978\pi$
$263$	−3.85860	+	2.80344i	−0.237931	+	0.172867i	0.462430	+	0.886656i	$0.346978\pi$
$264$	−8.43624	+	10.7847i	−0.519215	+	0.663750i
$265$	−14.8840	+	7.84822i	−0.914320	+	0.482112i
$266$	0.0974473	−	0.229052i	0.00597488	−	0.0140441i
$267$	−16.8748	−	7.12604i	−1.03272	−	0.436107i
$268$	22.7125	+	12.1240i	1.38739	+	0.740592i
$269$	−1.52190	−	0.494495i	−0.0927918	−	0.0301499i	0.262253	−	0.964999i	$-0.415534\pi$
$269$	−1.52190	−	0.494495i	−0.0927918	−	0.0301499i	−0.355045	+	0.934849i	$0.615534\pi$
$270$	11.4296	+	11.8052i	0.695586	+	0.718443i
$271$	−18.1696	+	5.90365i	−1.10372	+	0.358621i	−0.803534	−	0.595259i	$-0.797050\pi$
$271$	−18.1696	+	5.90365i	−1.10372	+	0.358621i	−0.300189	+	0.953880i	$0.597050\pi$
$272$	12.6695	+	9.96525i	0.768200	+	0.604232i
$273$	−0.444389	+	0.513128i	−0.0268956	+	0.0310559i
$274$	15.4410	+	25.7456i	0.932822	+	1.55535i
$275$	−13.4064	−	3.94456i	−0.808436	−	0.237866i
$276$	−4.51237	+	6.95179i	−0.271612	+	0.418449i
$277$	23.3083	+	16.9344i	1.40046	+	1.01749i	0.994625	+	0.103545i	$0.0330187\pi$
$277$	23.3083	+	16.9344i	1.40046	+	1.01749i	0.405834	+	0.913947i	$0.366981\pi$
$278$	0.766193	−	0.879953i	0.0459532	−	0.0527761i
$279$	9.10846	−	1.31454i	0.545309	−	0.0786997i
$280$	−0.0483775	+	0.517762i	−0.00289111	+	0.0309422i
$281$	14.4037	+	4.68005i	0.859253	+	0.279188i	0.705316	−	0.708893i	$-0.250805\pi$
$281$	14.4037	+	4.68005i	0.859253	+	0.279188i	0.153936	+	0.988081i	$0.450805\pi$
$282$	4.63237	−	2.26530i	0.275853	−	0.134897i
$283$	−7.00016	−	2.27449i	−0.416116	−	0.135204i	0.0934737	−	0.995622i	$-0.470203\pi$
$283$	−7.00016	−	2.27449i	−0.416116	−	0.135204i	−0.509590	+	0.860417i	$0.670203\pi$
$284$	0.991523	+	7.13957i	0.0588361	+	0.423656i
$285$	0.709394	+	8.26048i	0.0420209	+	0.489309i
$286$	18.7671	+	1.65734i	1.10972	+	0.0980007i
$287$	0.540207	−	0.392483i	0.0318874	−	0.0231676i
$288$	−16.9681	+	0.289823i	−0.999854	+	0.0170780i
$289$	−0.615764	−	0.447379i	−0.0362214	−	0.0263164i
$290$	10.4314	−	4.37541i	0.612550	−	0.256933i
$291$	−12.3129	+	7.42942i	−0.721795	+	0.435520i
$292$	−2.12031	−	2.20283i	−0.124082	−	0.128911i
$293$			10.2253i			0.597370i	0.954352	+	0.298685i	$0.0965480\pi$
$293$			10.2253i			0.597370i	−0.954352	+	0.298685i	$0.903452\pi$
$294$	−2.40160	−	16.9607i	−0.140064	−	0.989167i
$295$	−14.5732	+	14.9872i	−0.848487	+	0.872587i
$296$	−23.9498	+	9.12627i	−1.39205	+	0.530454i
$297$	−0.840660	−	14.4985i	−0.0487800	−	0.841290i
$298$	−0.329494	+	3.73107i	−0.0190871	+	0.216135i
$299$	11.4039			0.659502
$300$	−6.66099	−	15.9885i	−0.384572	−	0.923095i
$301$	−0.721071			−0.0415618
$302$	−1.86252	+	21.0904i	−0.107176	+	1.21362i
$303$	−20.3120	+	4.72904i	−1.16689	+	0.271676i
$304$	−6.73033	−	5.29377i	−0.386011	−	0.303619i
$305$	−6.04501	−	2.97422i	−0.346136	−	0.170303i
$306$	−17.0707	+	0.944101i	−0.975866	+	0.0539706i
$307$		−	7.46889i		−	0.426272i	−0.977023	−	0.213136i	$-0.931632\pi$
$307$		−	7.46889i		−	0.426272i	0.977023	−	0.213136i	$-0.0683677\pi$
$308$	0.331136	−	0.318731i	0.0188682	−	0.0181614i
$309$	−17.3785	−	28.8017i	−0.988628	−	1.63847i
$310$	−9.44261	−	2.22248i	−0.536304	−	0.126228i
$311$	−1.58882	−	1.15434i	−0.0900937	−	0.0654569i	0.541827	−	0.840490i	$-0.317733\pi$
$311$	−1.58882	−	1.15434i	−0.0900937	−	0.0654569i	−0.631920	+	0.775033i	$0.717733\pi$
$312$	13.0462	+	19.3666i	0.738594	+	1.09642i
$313$	7.60934	−	5.52851i	0.430105	−	0.312490i	−0.351586	−	0.936156i	$-0.614357\pi$
$313$	7.60934	−	5.52851i	0.430105	−	0.312490i	0.781691	+	0.623666i	$0.214357\pi$
$314$	−9.13768	−	0.806956i	−0.515669	−	0.0455392i
$315$	−0.324313	−	0.446140i	−0.0182730	−	0.0251372i
$316$	9.40982	−	1.30681i	0.529344	−	0.0735138i
$317$	−15.7657	−	5.12259i	−0.885490	−	0.287713i	−0.169255	−	0.985572i	$-0.554136\pi$
$317$	−15.7657	−	5.12259i	−0.885490	−	0.287713i	−0.716235	+	0.697859i	$0.754136\pi$
$318$	8.09743	+	16.5586i	0.454081	+	0.928560i
$319$	−9.50845	−	3.08948i	−0.532371	−	0.172978i
$320$	16.7581	+	6.25833i	0.936805	+	0.349851i
$321$	7.67185	+	32.9518i	0.428201	+	1.83919i
$322$	0.182686	−	0.209810i	0.0101807	−	0.0116923i
$323$	−6.97896	−	5.07051i	−0.388320	−	0.282131i
$324$	13.3068	−	12.1214i	0.739266	−	0.673414i
$325$	−13.4630	+	19.6656i	−0.746793	+	1.09085i
$326$	−15.4638	−	25.7838i	−0.856462	−	1.42803i
$327$	−2.01042	−	1.74111i	−0.111177	−	0.0962834i
$328$	−8.17918	−	21.4644i	−0.451619	−	1.18517i
$329$	−0.164619	+	0.0534881i	−0.00907576	+	0.00294889i
$330$	−4.76571	+	14.5477i	−0.262344	+	0.800827i
$331$	21.0227	+	6.83070i	1.15551	+	0.375449i	0.823218	−	0.567726i	$-0.192177\pi$
$331$	21.0227	+	6.83070i	1.15551	+	0.375449i	0.332296	+	0.943175i	$0.392177\pi$
$332$	9.05086	−	16.9554i	0.496731	−	0.930548i
$333$	12.6733	−	24.0495i	0.694492	−	1.31791i
$334$	−11.1486	+	26.2050i	−0.610024	+	1.43387i
$335$	28.4906	+	4.10441i	1.55661	+	0.224248i
$336$	0.565306	+	0.0702207i	0.0308399	+	0.00383085i
$337$	−17.9878	+	13.0689i	−0.979859	+	0.711909i	−0.957677	−	0.287845i	$-0.907061\pi$
$337$	−17.9878	+	13.0689i	−0.979859	+	0.711909i	−0.0221815	+	0.999754i	$0.507061\pi$
$338$	5.38108	−	12.6483i	0.292692	−	0.687978i
$339$	−17.8132	+	20.5686i	−0.967480	+	1.11713i
$340$	17.1110	+	5.65602i	0.927975	+	0.306741i
$341$	5.03953	+	6.93631i	0.272906	+	0.375622i
$342$	9.06835	−	0.501528i	0.490360	−	0.0271195i
$343$			1.15055i			0.0621239i
$344$	−6.47858	+	23.9438i	−0.349301	+	1.29096i
$345$	−2.09885	+	9.02529i	−0.112999	+	0.485905i
$346$	4.07048	−	4.67485i	0.218830	−	0.251321i
$347$	0.624538	+	1.92213i	0.0335270	+	0.103185i	0.966420	−	0.256969i	$-0.0827239\pi$
$347$	0.624538	+	1.92213i	0.0335270	+	0.103185i	−0.932893	+	0.360155i	$0.882724\pi$
$348$	−4.44326	−	11.5675i	−0.238184	−	0.620081i
$349$	−5.02428			−0.268944			−0.134472	−	0.990917i	$-0.542934\pi$
$349$	−5.02428			−0.268944			−0.134472	+	0.990917i	$0.542934\pi$
$350$	0.146138	+	0.562731i	0.00781139	+	0.0300792i
$351$	−23.9588	−	6.27723i	−1.27882	−	0.335054i
$352$	−7.60861	−	13.8593i	−0.405540	−	0.738705i
$353$	−8.70024	+	2.82688i	−0.463067	+	0.150460i	−0.531253	−	0.847213i	$-0.678279\pi$
$353$	−8.70024	+	2.82688i	−0.463067	+	0.150460i	0.0681864	+	0.997673i	$0.478279\pi$
$354$	15.9245	+	16.4561i	0.846377	+	0.874633i
$355$	3.75884	+	7.12860i	0.199499	+	0.378347i
$356$	15.2390	−	14.6682i	0.807667	−	0.777412i
$357$	0.571795	+	0.0489583i	0.0302626	+	0.00259115i
$358$	−5.19220	−	22.5739i	−0.274416	−	1.19307i
$359$	−10.7840	+	7.83505i	−0.569159	+	0.413518i	−0.834800	−	0.550554i	$-0.814417\pi$
$359$	−10.7840	+	7.83505i	−0.569159	+	0.413518i	0.265641	+	0.964072i	$0.414417\pi$
$360$	−17.7283	+	6.76068i	−0.934364	+	0.356319i
$361$	−11.6639	−	8.47434i	−0.613891	−	0.446018i
$362$	−2.42238	+	5.69385i	−0.127317	+	0.299262i
$363$	−4.72836	+	2.85302i	−0.248174	+	0.149745i
$364$	−0.342454	−	0.705053i	−0.0179495	−	0.0369548i
$365$	−3.06722	−	1.50911i	−0.160546	−	0.0789903i
$366$	−3.45799	+	6.51982i	−0.180752	+	0.340797i
$367$	24.7528	+	8.04268i	1.29209	+	0.419824i	0.872822	−	0.488040i	$-0.162288\pi$
$367$	24.7528	+	8.04268i	1.29209	+	0.419824i	0.419265	+	0.907864i	$0.362288\pi$
$368$	−5.32556	−	7.95132i	−0.277614	−	0.414491i
$369$	21.5538	+	11.3581i	1.12204	+	0.591279i
$370$	−21.7061	+	18.7069i	−1.12845	+	0.972523i
$371$	−0.191195	−	0.588439i	−0.00992637	−	0.0305502i
$372$	−2.74808	+	10.2650i	−0.142481	+	0.532217i
$373$	8.12792	+	5.90528i	0.420848	+	0.305764i	0.777979	−	0.628291i	$-0.216245\pi$
$373$	8.12792	+	5.90528i	0.420848	+	0.305764i	−0.357131	+	0.934054i	$0.616245\pi$
$374$	−8.19243	−	13.6597i	−0.423621	−	0.706328i
$375$	−13.0860	−	14.2744i	−0.675757	−	0.737125i
$376$	0.297069	+	5.94690i	0.0153202	+	0.306688i
$377$	−10.0219	+	13.7940i	−0.516154	+	0.710426i
$378$	−0.499301	+	0.340239i	−0.0256813	+	0.0175000i
$379$	−19.9962	+	6.49717i	−1.02714	+	0.333737i	−0.773658	−	0.633604i	$-0.781575\pi$
$379$	−19.9962	+	6.49717i	−1.02714	+	0.333737i	−0.253480	+	0.967341i	$0.581575\pi$
$380$	−9.08977	−	3.00461i	−0.466296	−	0.154133i
$381$	26.0702	+	11.0092i	1.33562	+	0.564018i
$382$	19.8589	−	11.9104i	1.01607	−	0.609388i
$383$	5.78085	−	17.7916i	0.295387	−	0.909109i	−0.687704	−	0.725992i	$-0.741381\pi$
$383$	5.78085	−	17.7916i	0.295387	−	0.909109i	0.983091	−	0.183118i	$-0.0586189\pi$
$384$	7.41082	−	18.1406i	0.378182	−	0.925731i
$385$	0.226853	−	0.461073i	0.0115615	−	0.0234984i
$386$	11.6621	+	1.02989i	0.593584	+	0.0524199i
$387$	−11.6208	−	23.6039i	−0.590720	−	1.19985i
$388$	−2.28418	−	16.4475i	−0.115962	−	0.834996i
$389$	−11.8655	+	16.3314i	−0.601603	+	0.828036i	−0.995854	−	0.0909670i	$-0.971004\pi$
$389$	−11.8655	+	16.3314i	−0.601603	+	0.828036i	0.394251	+	0.919003i	$0.371004\pi$
$390$	21.0840	+	15.3964i	1.06763	+	0.779625i
$391$	−5.66695	−	7.79988i	−0.286590	−	0.394457i
$392$	19.0933	+	5.16616i	0.964357	+	0.260930i
$393$	−26.3439	−	2.25562i	−1.32887	−	0.113781i
$394$	16.8183	−	3.86835i	0.847292	−	0.194885i
$395$	9.39535	−	4.95408i	0.472732	−	0.249267i
$396$	15.7701	+	5.70285i	0.792478	+	0.286579i
$397$	−1.91674	−	5.89913i	−0.0961986	−	0.296069i	0.891366	−	0.453285i	$-0.149748\pi$
$397$	−1.91674	−	5.89913i	−0.0961986	−	0.296069i	−0.987564	+	0.157216i	$0.949748\pi$
$398$	2.72682	−	30.8775i	0.136683	−	1.54775i
$399$	−0.303751	−	0.0260078i	−0.0152066	−	0.00130202i
$400$	19.9990	+	0.203313i	0.999948	+	0.0101657i
$401$		−	20.5073i		−	1.02408i	−0.858960	−	0.512042i	$-0.828889\pi$
$401$		−	20.5073i		−	1.02408i	0.858960	−	0.512042i	$-0.171111\pi$
$402$	5.44330	−	31.0587i	0.271487	−	1.54907i
$403$	13.9061	−	4.51837i	0.692713	−	0.225076i
$404$	4.22041	−	23.7088i	0.209973	−	1.17956i
$405$	9.37751	−	17.8062i	0.465972	−	0.884799i
$406$	0.0932364	+	0.405360i	0.00462724	+	0.0201177i
$407$	25.3262			1.25537
$408$	6.76308	−	18.5471i	0.334823	−	0.918217i
$409$	2.02333	−	1.47003i	0.100047	−	0.0726885i	−0.536637	−	0.843813i	$-0.680306\pi$
$409$	2.02333	−	1.47003i	0.100047	−	0.0726885i	0.636684	+	0.771125i	$0.280306\pi$
$410$	−16.7655	−	19.4535i	−0.827990	−	0.960742i
$411$	24.0706	−	27.7939i	1.18731	−	1.37097i
$412$	38.4731	−	5.34304i	1.89544	−	0.263233i
$413$	−0.451814	−	0.621868i	−0.0222323	−	0.0306001i
$414$	9.81221	+	2.59881i	0.482244	+	0.127725i
$415$	3.06403	−	21.2689i	0.150408	−	1.04405i
$416$	−26.4887	+	5.03683i	−1.29872	+	0.246951i
$417$	−1.31644	−	0.555919i	−0.0644662	−	0.0272235i
$418$	4.35201	+	7.25637i	0.212864	+	0.354921i
$419$	−4.74511	+	14.6040i	−0.231814	+	0.713450i	0.765714	+	0.643181i	$0.222386\pi$
$419$	−4.74511	+	14.6040i	−0.231814	+	0.713450i	−0.997528	+	0.0702689i	$0.977614\pi$
$420$	0.621024	−	0.141263i	0.0303029	−	0.00689294i
$421$	5.77668	+	17.7788i	0.281538	+	0.866486i	0.987415	+	0.158151i	$0.0505533\pi$
$421$	5.77668	+	17.7788i	0.281538	+	0.866486i	−0.705877	+	0.708335i	$0.749447\pi$
$422$	−0.589792	+	0.677361i	−0.0287106	+	0.0329734i
$423$	−4.40392	−	4.52671i	−0.214126	−	0.220096i
$424$	−21.2575	+	1.06189i	−1.03235	+	0.0515698i
$425$	20.1408	−	0.564180i	0.976974	−	0.0273668i
$426$	7.93061	−	3.87820i	0.384239	−	0.187899i
$427$	0.145610	−	0.200416i	0.00704658	−	0.00969879i
$428$	−38.4625	−	6.84670i	−1.85915	−	0.330948i
$429$	−5.23226	−	22.4734i	−0.252616	−	1.08502i
$430$	2.29915	+	27.6371i	0.110875	+	1.33278i
$431$	−3.05905	+	9.41480i	−0.147349	+	0.453495i	−0.997306	−	0.0733583i	$-0.976628\pi$
$431$	−3.05905	+	9.41480i	−0.147349	+	0.453495i	0.849956	+	0.526853i	$0.176628\pi$
$432$	6.81187	+	19.6367i	0.327736	+	0.944769i
$433$	−1.93188	+	5.94571i	−0.0928401	+	0.285733i	−0.986685	−	0.162644i	$-0.947998\pi$
$433$	−1.93188	+	5.94571i	−0.0928401	+	0.285733i	0.893845	+	0.448377i	$0.147998\pi$
$434$	0.139642	−	0.328230i	0.00670301	−	0.0157555i
$435$	−9.07238	−	10.4703i	−0.434987	−	0.502014i
$436$	2.76239	−	1.34173i	0.132294	−	0.0642572i
$437$	3.01042	+	4.14348i	0.144008	+	0.198210i
$438$	−1.75457	+	3.30814i	−0.0838366	+	0.158069i
$439$	12.2442	−	16.8527i	0.584384	−	0.804335i	−0.409784	−	0.912183i	$-0.634396\pi$
$439$	12.2442	−	16.8527i	0.584384	−	0.804335i	0.994167	+	0.107847i	$0.0343958\pi$
$440$	−13.2721	−	11.6754i	−0.632724	−	0.556605i
$441$	−18.8222	+	9.26671i	−0.896297	+	0.441272i
$442$	−26.4727	+	6.08895i	−1.25918	+	0.289622i
$443$	16.6148			0.789392			0.394696	−	0.918812i	$-0.370850\pi$
$443$	16.6148			0.789392			0.394696	+	0.918812i	$0.370850\pi$
$444$	19.7597	+	24.3901i	0.937752	+	1.15751i
$445$	10.4399	−	21.2188i	0.494899	−	1.00587i
$446$	8.23915	−	9.46245i	0.390135	−	0.448060i
$447$	4.46790	−	1.04022i	0.211325	−	0.0492006i
$448$	−0.331672	+	0.568033i	−0.0156701	+	0.0268371i
$449$			6.28383i			0.296552i	0.988946	+	0.148276i	$0.0473725\pi$
$449$			6.28383i			0.296552i	−0.988946	+	0.148276i	$0.952628\pi$
$450$	−16.0655	+	13.8528i	−0.757336	+	0.653025i
$451$			22.6979i			1.06880i
$452$	−13.7272	−	28.2619i	−0.645673	−	1.32933i
$453$	25.2555	−	5.87999i	1.18661	−	0.276266i
$454$	9.56268	+	8.32642i	0.448799	+	0.390778i
$455$	−0.628280	−	0.610928i	−0.0294542	−	0.0286407i
$456$	−3.59271	+	9.85264i	−0.168244	+	0.461392i
$457$	36.2884			1.69750			0.848750	−	0.528794i	$-0.177355\pi$
$457$	36.2884			1.69750			0.848750	+	0.528794i	$0.177355\pi$
$458$	1.37237	+	5.96660i	0.0641268	+	0.278801i
$459$	7.61246	+	19.5064i	0.355319	+	0.910481i
$460$	−8.62408	−	6.33298i	−0.402100	−	0.295277i
$461$	−17.2404	+	23.7294i	−0.802965	+	1.10519i	0.189406	+	0.981899i	$0.439344\pi$
$461$	−17.2404	+	23.7294i	−0.802965	+	1.10519i	−0.992371	+	0.123288i	$0.960656\pi$
$462$	−0.497288	−	0.263752i	−0.0231359	−	0.0122709i
$463$	11.7805	+	16.2144i	0.547485	+	0.753549i	0.989668	−	0.143376i	$-0.0457958\pi$
$463$	11.7805	+	16.2144i	0.547485	+	0.753549i	−0.442183	+	0.896925i	$0.645796\pi$
$464$	14.2980	+	0.546025i	0.663769	+	0.0253486i
$465$	1.01656	+	11.8372i	0.0471418	+	0.548939i
$466$	−2.64493	−	1.12525i	−0.122524	−	0.0521264i
$467$	4.60747	−	14.1803i	0.213208	−	0.656188i	−0.786067	−	0.618141i	$-0.787886\pi$
$467$	4.60747	−	14.1803i	0.213208	−	0.656188i	0.999276	−	0.0380475i	$-0.0121138\pi$
$468$	17.5605	−	22.5728i	0.811735	−	1.04343i
$469$	−0.327075	+	1.00663i	−0.0151029	+	0.0464820i
$470$	2.57498	+	6.13896i	0.118775	+	0.283169i
$471$	2.54757	+	10.9422i	0.117386	+	0.504191i
$472$	−24.7091	+	9.41559i	−1.13733	+	0.433388i
$473$	14.4072	−	19.8298i	0.662444	−	0.911776i
$474$	−5.11139	−	10.4524i	−0.234774	−	0.480094i
$475$	−10.6993	+	0.299706i	−0.490917	+	0.0137514i
$476$	−0.312058	+	0.584592i	−0.0143031	+	0.0267947i
$477$	16.1809	−	15.7420i	0.740873	−	0.720777i
$478$	12.9799	+	11.3018i	0.593686	+	0.516934i
$479$	−0.851191	−	2.61970i	−0.0388919	−	0.119697i	0.929726	−	0.368253i	$-0.120044\pi$
$479$	−0.851191	−	2.61970i	−0.0388919	−	0.119697i	−0.968618	+	0.248556i	$0.920044\pi$
$480$	0.888922	−	21.8909i	0.0405736	−	0.999177i
$481$	13.3469	−	41.0775i	0.608566	−	1.87297i
$482$	−24.8003	+	14.8740i	−1.12962	+	0.677493i
$483$	−0.313883	−	0.132550i	−0.0142822	−	0.00603122i
$484$	−0.877164	−	6.31612i	−0.0398711	−	0.287096i
$485$	−8.65929	−	16.4222i	−0.393198	−	0.745695i
$486$	−19.1843	−	10.8610i	−0.870218	−	0.492667i
$487$	14.5777	+	20.0645i	0.660580	+	0.909211i	0.999500	−	0.0316045i	$-0.0100617\pi$
$487$	14.5777	+	20.0645i	0.660580	+	0.909211i	−0.338920	+	0.940815i	$0.610062\pi$
$488$	−5.34671	−	6.63579i	−0.242034	−	0.300388i
$489$	−24.1062	+	27.8350i	−1.09012	+	1.25874i
$490$	22.0384	−	1.83339i	0.995595	−	0.0828241i
$491$	−12.2246	+	8.88168i	−0.551688	+	0.400825i	−0.828407	−	0.560126i	$-0.810753\pi$
$491$	−12.2246	+	8.88168i	−0.551688	+	0.400825i	0.276720	+	0.960951i	$0.410753\pi$
$492$	−21.8590	+	17.7091i	−0.985480	+	0.798386i
$493$	14.4149			0.649213
$494$	14.0629	−	3.23459i	0.632720	−	0.145531i
$495$	18.7490	−	0.00476303i	0.842703	−	0.000214082i
$496$	−9.64453	−	7.58596i	−0.433052	−	0.340619i
$497$	−0.281828	+	0.0915715i	−0.0126417	+	0.00410754i
$498$	−23.1860	−	4.06355i	−1.03899	−	0.182092i
$499$			30.5698i			1.36849i	0.729251	+	0.684246i	$0.239869\pi$
$499$			30.5698i			1.36849i	−0.729251	+	0.684246i	$0.760131\pi$
$500$	21.1023	−	7.39543i	0.943724	−	0.330734i
$501$	34.7510	+	2.97546i	1.55256	+	0.132934i
$502$	0.443844	+	0.0391963i	0.0198097	+	0.00174942i
$503$	10.7048	+	32.9460i	0.477303	+	1.46899i	0.842826	+	0.538186i	$0.180890\pi$
$503$	10.7048	+	32.9460i	0.477303	+	1.46899i	−0.365523	+	0.930802i	$0.619110\pi$
$504$	−0.133984	−	0.684690i	−0.00596812	−	0.0304985i
$505$	−4.58377	−	26.5309i	−0.203975	−	1.18061i
$506$	2.11977	+	9.21603i	0.0942353	+	0.409703i
$507$	−16.7732	−	1.43616i	−0.744926	−	0.0637822i
$508$	−23.5431	+	22.6612i	−1.04456	+	1.00543i
$509$	5.64708	+	7.77254i	0.250303	+	0.344512i	0.915617	−	0.402051i	$-0.131703\pi$
$509$	5.64708	+	7.77254i	0.250303	+	0.344512i	−0.665315	+	0.746563i	$0.731703\pi$
$510$	0.0532911	−	22.0718i	0.00235977	−	0.977355i
$511$	0.0738822	−	0.101690i	0.00326836	−	0.00449851i
$512$	15.8821	+	16.1171i	0.701895	+	0.712280i
$513$	−4.04392	−	10.3623i	−0.178543	−	0.457505i
$514$	0.410234	−	4.64534i	0.0180947	−	0.204897i
$515$	38.4140	−	20.2553i	1.69272	−	0.892557i
$516$	30.3375	−	1.59664i	1.33554	−	0.0702880i
$517$	1.81819	−	5.59582i	0.0799641	−	0.246104i
$518$	−0.541939	−	0.903607i	−0.0238114	−	0.0397022i
$519$	−6.99372	−	2.95338i	−0.306990	−	0.129639i
$520$	−25.9313	+	15.3736i	−1.13716	+	0.674178i
$521$	6.92987	−	2.25165i	0.303603	−	0.0986467i	−0.153254	−	0.988187i	$-0.548975\pi$
$521$	6.92987	−	2.25165i	0.303603	−	0.0986467i	0.456857	+	0.889540i	$0.348975\pi$
$522$	−11.7666	+	9.58486i	−0.515012	+	0.419518i
$523$	−2.74254	+	3.77479i	−0.119923	+	0.165060i	−0.864758	−	0.502189i	$-0.832528\pi$
$523$	−2.74254	+	3.77479i	−0.119923	+	0.165060i	0.744835	+	0.667249i	$0.232528\pi$
$524$	14.3772	−	26.9335i	0.628072	−	1.17660i
$525$	0.599137	−	0.384797i	0.0261485	−	0.0167939i
$526$	−5.78449	+	3.46925i	−0.252216	+	0.151267i
$527$	−10.0008	−	7.26602i	−0.435643	−	0.316513i
$528$	−13.2261	+	14.1432i	−0.575591	+	0.615502i
$529$	−5.33856	−	16.4304i	−0.232111	−	0.714365i
$530$	−21.9440	+	9.20436i	−0.953186	+	0.399812i
$531$	13.0751	−	24.8120i	0.567409	−	1.07675i
$532$	0.165772	−	0.310549i	0.00718715	−	0.0134640i
$533$	36.8146	+	11.9618i	1.59462	+	0.518123i
$534$	−22.8855	−	12.1380i	−0.990351	−	0.525263i
$535$	−43.0407	+	7.43617i	−1.86081	+	0.321494i
$536$	30.4875	+	19.9051i	1.31686	+	0.859768i
$537$	−24.2900	+	14.6562i	−1.04819	+	0.632463i
$538$	−2.08243	−	0.885944i	−0.0897798	−	0.0381957i
$539$	−15.8127	−	11.4886i	−0.681103	−	0.494850i
$540$	14.6327	+	18.0523i	0.629689	+	0.776847i
$541$	−1.99675	+	1.45073i	−0.0858471	+	0.0623716i	−0.629881	−	0.776692i	$-0.716896\pi$
$541$	−1.99675	+	1.45073i	−0.0858471	+	0.0623716i	0.544034	+	0.839063i	$0.316896\pi$
$542$	−26.3305	+	6.05625i	−1.13099	+	0.260138i
$543$	7.55074	+	0.646511i	0.324033	+	0.0277445i
$544$	16.6082	+	15.6145i	0.712069	+	0.669467i
$545$	2.39360	−	2.46159i	0.102531	−	0.105443i
$546$	−0.689860	+	0.667574i	−0.0295233	+	0.0285695i
$547$	16.6404	−	5.40680i	0.711493	−	0.231178i	0.0691620	−	0.997605i	$-0.477967\pi$
$547$	16.6404	−	5.40680i	0.711493	−	0.231178i	0.642331	+	0.766427i	$0.277967\pi$
$548$	18.5492	+	38.1896i	0.792384	+	1.63138i
$549$	8.90717	+	1.53657i	0.380149	+	0.0655791i
$550$	−18.3953	−	7.22467i	−0.784377	−	0.308061i
$551$	−7.65751			−0.326221
$552$	−7.22156	+	9.23184i	−0.307370	+	0.392933i
$553$	0.120690	+	0.371444i	0.00513224	+	0.0157954i
$554$	30.7283	+	26.7558i	1.30552	+	1.13674i
$555$	30.0533	+	18.1233i	1.27569	+	0.769291i
$556$	1.18883	−	1.14430i	0.0504177	−	0.0485291i
$557$		−	30.9896i		−	1.31307i	−0.754295	−	0.656535i	$-0.772021\pi$
$557$		−	30.9896i		−	1.31307i	0.754295	−	0.656535i	$-0.227979\pi$
$558$	12.9949	−	0.718688i	0.550118	−	0.0304245i
$559$	−24.5702	−	33.8179i	−1.03921	−	1.43035i
$560$	−0.132564	+	0.723369i	−0.00560184	+	0.0305679i
$561$	−12.7710	+	14.7464i	−0.539192	+	0.622596i
$562$	19.7087	+	8.38484i	0.831362	+	0.353693i
$563$	−3.93582	+	2.85954i	−0.165875	+	0.120515i	−0.667626	−	0.744497i	$-0.732689\pi$
$563$	−3.93582	+	2.85954i	−0.165875	+	0.120515i	0.501751	+	0.865012i	$0.332689\pi$
$564$	6.80757	−	2.61491i	0.286651	−	0.110107i
$565$	−25.1845	−	24.4889i	−1.05952	−	1.03025i
$566$	−9.57838	−	4.07501i	−0.402609	−	0.171285i
$567$	0.586486	+	0.451254i	0.0246301	+	0.0189509i
$568$	0.508582	+	10.1811i	0.0213396	+	0.427189i
$569$	−20.6253	−	6.70156i	−0.864656	−	0.280944i	−0.157084	−	0.987585i	$-0.550209\pi$
$569$	−20.6253	−	6.70156i	−0.864656	−	0.280944i	−0.707572	+	0.706641i	$0.750209\pi$
$570$	−0.0283095	+	11.7250i	−0.00118575	+	0.491108i
$571$	0.104477	−	0.0339467i	0.00437223	−	0.00142062i	−0.306830	−	0.951764i	$-0.599268\pi$
$571$	0.104477	−	0.0339467i	0.00437223	−	0.00142062i	0.311202	+	0.950344i	$0.399268\pi$
$572$	26.2317	+	4.66950i	1.09680	+	0.195242i
$573$	−21.4388	−	18.5668i	−0.895618	−	0.775641i
$574$	0.809834	−	0.485698i	0.0338018	−	0.0202727i
$575$	−11.4761	−	3.37661i	−0.478585	−	0.140814i
$576$	−23.9395	−	1.70265i	−0.997480	−	0.0709439i
$577$	10.6652	+	7.74875i	0.444000	+	0.322585i	0.787222	−	0.616669i	$-0.211518\pi$
$577$	10.6652	+	7.74875i	0.444000	+	0.322585i	−0.343222	+	0.939254i	$0.611518\pi$
$578$	−0.811789	−	0.706841i	−0.0337660	−	0.0294007i
$579$	−3.25137	−	13.9652i	−0.135122	−	0.580372i
$580$	15.2393	−	4.86605i	0.632777	−	0.202052i
$581$	0.751475	+	0.244169i	0.0311764	+	0.0101298i
$582$	−18.2698	+	8.93425i	−0.757309	+	0.370337i
$583$	20.0025	+	6.49921i	0.828420	+	0.269170i
$584$	−2.71290	−	3.36698i	−0.112261	−	0.139326i
$585$	9.87297	−	30.4122i	0.408197	−	1.25739i
$586$	−1.27209	+	14.4047i	−0.0525497	+	0.595054i
$587$	6.42275	−	4.66640i	0.265095	−	0.192603i	−0.447295	−	0.894386i	$-0.647613\pi$
$587$	6.42275	−	4.66640i	0.265095	−	0.192603i	0.712390	+	0.701783i	$0.247613\pi$
$588$	−1.27319	−	24.1918i	−0.0525056	−	0.997654i
$589$	5.31267	+	3.85988i	0.218905	+	0.159044i
$590$	−22.3943	+	19.2999i	−0.921958	+	0.794564i
$591$	−10.9194	−	18.0968i	−0.449162	−	0.744404i
$592$	−34.8742	+	9.87696i	−1.43332	+	0.405940i
$593$			23.1318i			0.949910i	0.880010	+	0.474955i	$0.157536\pi$
$593$			23.1318i			0.949910i	−0.880010	+	0.474955i	$0.842464\pi$
$594$	0.619445	−	20.5291i	0.0254161	−	0.842320i
$595$	−0.105643	+	0.733314i	−0.00433092	+	0.0300630i
$596$	−0.928338	+	5.21509i	−0.0380262	+	0.213618i
$597$	−36.9753	+	8.60860i	−1.51330	+	0.352326i
$598$	16.0650	+	1.41871i	0.656945	+	0.0580154i
$599$	−13.8053			−0.564071			−0.282035	−	0.959404i	$-0.591010\pi$
$599$	−13.8053			−0.564071			−0.282035	+	0.959404i	$0.591010\pi$
$600$	−7.39447	−	23.3521i	−0.301878	−	0.953347i
$601$	29.5640			1.20594			0.602970	−	0.797764i	$-0.293984\pi$
$601$	29.5640			1.20594			0.602970	+	0.797764i	$0.293984\pi$
$602$	−1.01579	−	0.0897057i	−0.0414007	−	0.00365613i
$603$	−38.2228	+	5.51635i	−1.55655	+	0.224643i
$604$	−5.24757	+	29.4790i	−0.213520	+	1.19949i
$605$	−3.32531	−	6.30641i	−0.135193	−	0.256392i
$606$	−29.2024	+	4.13501i	−1.18627	+	0.167973i
$607$			36.6312i			1.48682i	0.668838	+	0.743408i	$0.266792\pi$
$607$			36.6312i			1.48682i	−0.668838	+	0.743408i	$0.733208\pi$
$608$	−8.82264	−	8.29480i	−0.357805	−	0.336398i
$609$	0.436176	−	0.263182i	0.0176748	−	0.0106647i
$610$	−8.14578	−	4.94191i	−0.329813	−	0.200092i
$611$	−8.11790	−	5.89800i	−0.328415	−	0.238607i
$612$	−24.1655	−	0.793717i	−0.976831	−	0.0320841i
$613$	−15.4549	+	11.2286i	−0.624217	+	0.453520i	−0.854392	−	0.519629i	$-0.826070\pi$
$613$	−15.4549	+	11.2286i	−0.624217	+	0.453520i	0.230175	+	0.973149i	$0.426070\pi$
$614$	0.929177	−	10.5217i	0.0374985	−	0.424619i
$615$	−16.2425	+	26.9345i	−0.654961	+	1.08610i
$616$	0.506133	−	0.407811i	0.0203927	−	0.0164312i
$617$	−19.8963	−	6.46469i	−0.800994	−	0.260259i	−0.120215	−	0.992748i	$-0.538358\pi$
$617$	−19.8963	−	6.46469i	−0.800994	−	0.260259i	−0.680779	+	0.732489i	$0.738358\pi$
$618$	−20.8985	−	42.7358i	−0.840661	−	1.71909i
$619$	24.5117	+	7.96433i	0.985208	+	0.320114i	0.756940	−	0.653485i	$-0.226694\pi$
$619$	24.5117	+	7.96433i	0.985208	+	0.320114i	0.228269	+	0.973598i	$0.426694\pi$
$620$	−13.0256	−	4.30560i	−0.523121	−	0.172917i
$621$	−0.719618	−	12.4110i	−0.0288773	−	0.498035i
$622$	−2.09461	−	1.82382i	−0.0839863	−	0.0731285i
$623$	0.703486	+	0.511112i	0.0281846	+	0.0204773i
$624$	15.9692	+	28.9053i	0.639280	+	1.15714i
$625$	19.3711	−	15.8038i	0.774844	−	0.632152i
$626$	11.4073	−	6.84153i	0.455927	−	0.273443i
$627$	6.78426	−	7.83366i	0.270937	−	0.312846i
$628$	−12.7721	−	2.27357i	−0.509664	−	0.0907253i
$629$	−34.7283	+	11.2839i	−1.38471	+	0.449919i
$630$	−0.401367	−	0.668838i	−0.0159909	−	0.0266471i
$631$	9.50638	+	3.08881i	0.378443	+	0.122964i	0.492061	−	0.870561i	$-0.336244\pi$
$631$	9.50638	+	3.08881i	0.378443	+	0.122964i	−0.113617	+	0.993525i	$0.536244\pi$
$632$	13.4185	−	0.670302i	0.533759	−	0.0266632i
$633$	1.01335	+	0.427929i	0.0402772	+	0.0170087i
$634$	−21.5724	−	9.17770i	−0.856748	−	0.364493i
$635$	−16.1289	+	32.7814i	−0.640054	+	1.30089i
$636$	9.34710	+	24.3340i	0.370637	+	0.964905i
$637$	−26.9672	+	19.5928i	−1.06848	+	0.776294i
$638$	−13.0105	−	5.53516i	−0.515091	−	0.219139i
$639$	−7.53951	−	7.74972i	−0.298258	−	0.306574i
$640$	22.8291	+	10.9011i	0.902398	+	0.430904i
$641$	18.6448	+	25.6623i	0.736424	+	1.01360i	0.998816	+	0.0486391i	$0.0154884\pi$
$641$	18.6448	+	25.6623i	0.736424	+	1.01360i	−0.262393	+	0.964961i	$0.584512\pi$
$642$	6.70816	+	47.3747i	0.264750	+	1.86973i
$643$		−	7.49503i		−	0.295575i	−0.989019	−	0.147788i	$-0.952785\pi$
$643$		−	7.49503i		−	0.295575i	0.989019	−	0.147788i	$-0.0472152\pi$
$644$	0.283457	−	0.272839i	0.0111698	−	0.0107514i
$645$	31.2864	−	13.2213i	1.23190	−	0.520589i
$646$	−9.20068	−	8.01121i	−0.361996	−	0.315197i
$647$	−6.63326	−	20.4151i	−0.260780	−	0.802600i	−0.992636	−	0.121139i	$-0.961345\pi$
$647$	−6.63326	−	20.4151i	−0.260780	−	0.802600i	0.731855	−	0.681460i	$-0.238655\pi$
$648$	20.2537	−	15.4204i	0.795639	−	0.605771i
$649$	26.1291			1.02566
$650$	−21.4123	+	26.0286i	−0.839858	+	1.02093i
$651$	−0.435274	−	0.0372691i	−0.0170597	−	0.00146069i
$652$	−18.5767	−	38.2462i	−0.727520	−	1.49784i
$653$	−13.4876	+	4.38240i	−0.527812	+	0.171496i	−0.560788	−	0.827960i	$-0.689502\pi$
$653$	−13.4876	+	4.38240i	−0.527812	+	0.171496i	0.0329758	+	0.999456i	$0.489502\pi$
$654$	−2.61554	−	2.70286i	−0.102276	−	0.105690i
$655$	4.86720	−	33.7855i	0.190177	−	1.32011i
$656$	−8.85196	−	31.2551i	−0.345611	−	1.22031i
$657$	4.51946	+	0.779649i	0.176321	+	0.0304170i
$658$	−0.238559	+	0.0548706i	−0.00929998	+	0.00213908i
$659$	27.7018	−	20.1265i	1.07911	−	0.784017i	0.101580	−	0.994827i	$-0.467610\pi$
$659$	27.7018	−	20.1265i	1.07911	−	0.784017i	0.977527	+	0.210810i	$0.0676101\pi$
$660$	−8.52344	+	19.9010i	−0.331774	+	0.774645i
$661$	−25.8902	−	18.8103i	−1.00701	−	0.731636i	−0.0434305	−	0.999056i	$-0.513829\pi$
$661$	−25.8902	−	18.8103i	−1.00701	−	0.731636i	−0.963580	+	0.267421i	$0.913829\pi$
$662$	28.7656	+	12.2380i	1.11801	+	0.475643i
$663$	17.1875	+	28.4852i	0.667508	+	1.10627i
$664$	14.8596	−	22.7596i	0.576664	−	0.883244i
$665$	0.0561198	−	0.389554i	0.00217623	−	0.0151062i
$666$	20.8452	−	32.3027i	0.807734	−	1.25170i
$667$	−8.13938	−	2.64465i	−0.315158	−	0.102401i
$668$	−18.9654	+	35.5288i	−0.733795	+	1.37465i
$669$	−14.1561	−	5.97799i	−0.547307	−	0.231123i
$670$	39.6250	+	9.32642i	1.53085	+	0.360311i
$671$	2.60219	+	8.00872i	0.100457	+	0.309173i
$672$	0.787628	+	0.169250i	0.0303834	+	0.00652895i
$673$	4.52179	+	3.28527i	0.174302	+	0.126638i	0.671516	−	0.740990i	$-0.265644\pi$
$673$	4.52179	+	3.28527i	0.174302	+	0.126638i	−0.497214	+	0.867628i	$0.665644\pi$
$674$	−26.9658	+	16.1728i	−1.03869	+	0.622952i
$675$	22.2518	+	13.4110i	0.856474	+	0.516190i
$676$	9.15403	−	17.1487i	0.352078	−	0.659564i
$677$	−6.37681	+	8.77693i	−0.245081	+	0.337325i	−0.913781	−	0.406207i	$-0.866851\pi$
$677$	−6.37681	+	8.77693i	−0.245081	+	0.337325i	0.668700	+	0.743532i	$0.266851\pi$
$678$	−27.6529	+	26.7595i	−1.06200	+	1.02769i
$679$	0.649251	−	0.210954i	0.0249160	−	0.00809569i
$680$	23.4012	+	10.0965i	0.897394	+	0.387184i
$681$	6.04132	−	14.3061i	0.231504	−	0.548210i
$682$	6.23642	+	10.3983i	0.238805	+	0.398173i
$683$	−13.1133	+	40.3586i	−0.501766	+	1.54428i	0.304374	+	0.952553i	$0.401553\pi$
$683$	−13.1133	+	40.3586i	−0.501766	+	1.54428i	−0.806140	+	0.591725i	$0.798447\pi$
$684$	12.8373	+	0.421641i	0.490845	+	0.0161219i
$685$	34.0312	+	33.0912i	1.30026	+	1.26435i
$686$	−0.143136	+	1.62082i	−0.00546495	+	0.0618831i
$687$	6.42020	−	3.87385i	0.244946	−	0.147797i
$688$	−12.1053	+	32.9244i	−0.461511	+	1.25523i
$689$	21.0827	−	29.0178i	0.803185	−	1.10549i
$690$	−4.07952	+	12.4531i	−0.155305	+	0.474081i
$691$	−10.2098	−	14.0525i	−0.388398	−	0.534584i	0.569387	−	0.822070i	$-0.307181\pi$
$691$	−10.2098	−	14.0525i	−0.388398	−	0.534584i	−0.957785	+	0.287486i	$0.907181\pi$
$692$	6.31579	−	6.07921i	0.240090	−	0.231097i
$693$	−0.117199	+	0.679379i	−0.00445202	+	0.0258075i
$694$	0.640681	+	2.78546i	0.0243199	+	0.105735i
$695$	0.814441	−	1.65533i	0.0308935	−	0.0627902i
$696$	−4.82030	−	16.8482i	−0.182713	−	0.638630i
$697$	−10.1129	−	31.1243i	−0.383053	−	1.17892i
$698$	−7.07786	−	0.625052i	−0.267901	−	0.0236586i
$699$	−0.300320	+	3.50750i	−0.0113592	+	0.132666i
$700$	0.135862	+	0.810917i	0.00513508	+	0.0306498i
$701$			42.2125i			1.59435i	0.603751	+	0.797173i	$0.293672\pi$
$701$			42.2125i			1.59435i	−0.603751	+	0.797173i	$0.706328\pi$
$702$	−32.9705	−	11.8235i	−1.24439	−	0.446251i
$703$	18.4485	−	5.99427i	0.695797	−	0.226078i
$704$	−8.99430	−	20.4706i	−0.338985	−	0.771516i
$705$	6.16190	−	5.33919i	0.232071	−	0.201086i
$706$	−12.6080	+	2.89995i	−0.474507	+	0.109141i
$707$	0.990015			0.0372333
$708$	20.3861	+	25.1634i	0.766156	+	0.945697i
$709$	−14.8691	+	10.8030i	−0.558420	+	0.405716i	−0.830880	−	0.556451i	$-0.812163\pi$
$709$	−14.8691	+	10.8030i	−0.558420	+	0.405716i	0.272460	+	0.962167i	$0.412163\pi$
$710$	4.40836	+	10.5099i	0.165443	+	0.394429i
$711$	−10.2140	+	9.93693i	−0.383054	+	0.372664i
$712$	23.2925	−	18.7677i	0.872924	−	0.703349i
$713$	4.31391	+	5.93759i	0.161557	+	0.222365i
$714$	0.799414	+	0.140104i	0.0299173	+	0.00524326i
$715$	29.3541	−	5.07152i	1.09778	−	0.189664i
$716$	−4.50608	−	32.4465i	−0.168400	−	1.21258i
$717$	8.20016	−	19.4183i	0.306241	−	0.725190i
$718$	−16.1665	+	9.69588i	−0.603329	+	0.361847i
$719$	14.8203	−	45.6122i	0.552704	−	1.70105i	−0.149227	−	0.988803i	$-0.547678\pi$
$719$	14.8203	−	45.6122i	0.552704	−	1.70105i	0.701931	−	0.712245i	$-0.252322\pi$
$720$	−25.8155	+	7.31846i	−0.962087	+	0.272743i
$721$	0.493453	+	1.51869i	0.0183771	+	0.0565590i
$722$	−15.3771	−	13.3891i	−0.572276	−	0.498292i
$723$	26.7734	+	23.1868i	0.995712	+	0.862326i
$724$	−4.12083	+	7.71974i	−0.153149	+	0.286902i
$725$	14.1697	−	10.9139i	0.526249	−	0.405332i
$726$	−7.01591	+	3.43090i	−0.260385	+	0.127333i
$727$	−8.35057	+	11.4936i	−0.309705	+	0.426273i	−0.935289	−	0.353884i	$-0.884861\pi$
$727$	−8.35057	+	11.4936i	−0.309705	+	0.426273i	0.625584	+	0.780157i	$0.284861\pi$
$728$	−0.394713	−	1.03583i	−0.0146290	−	0.0383906i
$729$	−5.31972	+	26.4707i	−0.197027	+	0.980398i
$730$	−4.13314	−	2.50751i	−0.152974	−	0.0928070i
$731$	−10.9207	+	33.6105i	−0.403917	+	1.24313i
$732$	−5.68248	+	8.75448i	−0.210030	+	0.323575i
$733$	−11.8497	+	36.4697i	−0.437680	+	1.34704i	0.452636	+	0.891695i	$0.350484\pi$
$733$	−11.8497	+	36.4697i	−0.437680	+	1.34704i	−0.890316	+	0.455344i	$0.849516\pi$
$734$	33.8695	+	14.4094i	1.25015	+	0.531860i
$735$	−10.5430	−	24.9485i	−0.388883	−	0.920239i
$736$	−6.51309	−	11.8638i	−0.240076	−	0.437306i
$737$	−21.1479	−	29.1076i	−0.778992	−	1.07219i
$738$	28.9504	+	18.6819i	1.06568	+	0.687691i
$739$	9.88757	−	13.6091i	0.363720	−	0.500618i	−0.587461	−	0.809253i	$-0.699872\pi$
$739$	9.88757	−	13.6091i	0.363720	−	0.500618i	0.951180	+	0.308635i	$0.0998722\pi$
$740$	−32.9054	+	23.6525i	−1.20963	+	0.869485i
$741$	−9.13041	−	15.1320i	−0.335414	−	0.555888i
$742$	−0.196137	−	0.852738i	−0.00720043	−	0.0313050i
$743$	−24.3161			−0.892071			−0.446035	−	0.895015i	$-0.647164\pi$
$743$	−24.3161			−0.892071			−0.446035	+	0.895015i	$0.647164\pi$
$744$	−5.14834	+	14.1188i	−0.188747	+	0.517620i
$745$	1.00826	+	5.83584i	0.0369399	+	0.213809i
$746$	10.7154	+	9.33011i	0.392319	+	0.341600i
$747$	4.11808	+	28.5342i	0.150673	+	1.04401i
$748$	−9.84158	−	20.2621i	−0.359844	−	0.740855i
$749$		−	1.60609i		−	0.0586851i
$750$	−16.6588	−	21.7367i	−0.608293	−	0.793712i
$751$			20.5712i			0.750654i	0.926892	+	0.375327i	$0.122470\pi$
$751$			20.5712i			0.750654i	−0.926892	+	0.375327i	$0.877530\pi$
$752$	−0.321341	+	8.41454i	−0.0117181	+	0.306847i
$753$	−0.123743	−	0.531497i	−0.00450945	−	0.0193688i
$754$	−15.8342	+	18.1852i	−0.576649	+	0.662266i
$755$	5.69936	+	32.9880i	0.207421	+	1.20055i
$756$	−0.745709	+	0.417189i	−0.0271212	+	0.0151730i
$757$	−51.6491			−1.87722			−0.938608	−	0.344984i	$-0.887884\pi$
$757$	−51.6491			−1.87722			−0.938608	+	0.344984i	$0.887884\pi$
$758$	−28.9776	+	6.66511i	−1.05251	+	0.242088i
$759$	9.91666	−	5.98356i	0.359952	−	0.217189i
$760$	−12.4313	−	5.36351i	−0.450929	−	0.194555i
$761$	16.1791	−	22.2686i	0.586492	−	0.807237i	−0.407897	−	0.913028i	$-0.633738\pi$
$761$	16.1791	−	22.2686i	0.586492	−	0.807237i	0.994388	+	0.105792i	$0.0337376\pi$
$762$	35.3563	+	18.7523i	1.28082	+	0.679323i
$763$	0.0742088	+	0.102140i	0.00268654	+	0.00369770i
$764$	29.4576	−	14.3080i	1.06574	−	0.517644i
$765$	−25.7072	+	8.35999i	−0.929446	+	0.302256i
$766$	10.3570	−	24.3444i	0.374215	−	0.879600i
$767$	13.7700	−	42.3798i	0.497207	−	1.53024i
$768$	12.6966	−	24.6332i	0.458151	−	0.888874i
$769$	−5.61828	+	17.2913i	−0.202601	+	0.623540i	0.797203	+	0.603712i	$0.206312\pi$
$769$	−5.61828	+	17.2913i	−0.202601	+	0.623540i	−0.999803	+	0.0198288i	$0.993688\pi$
$770$	0.376936	−	0.621306i	0.0135838	−	0.0223903i
$771$	−5.56272	+	1.29512i	−0.200337	+	0.0466424i
$772$	16.3006	+	2.90167i	0.586671	+	0.104433i
$773$	12.7699	−	17.5762i	0.459300	−	0.632172i	−0.515064	−	0.857152i	$-0.672232\pi$
$773$	12.7699	−	17.5762i	0.459300	−	0.632172i	0.974363	+	0.224980i	$0.0722318\pi$
$774$	−13.4342	−	34.6972i	−0.482881	−	1.24717i
$775$	−15.3320	+	0.429477i	−0.550743	+	0.0154273i
$776$	−1.17163	−	23.4543i	−0.0420589	−	0.841960i
$777$	−0.844817	+	0.975495i	−0.0303077	+	0.0349957i
$778$	−18.7470	+	21.5304i	−0.672112	+	0.771904i
$779$	5.37220	+	16.5339i	0.192479	+	0.592390i
$780$	27.7863	+	24.3123i	0.994910	+	0.870520i
$781$	3.11275	−	9.58005i	0.111383	−	0.342801i
$782$	−7.01285	−	11.6929i	−0.250779	−	0.418139i
$783$	15.6446	+	10.0365i	0.559092	+	0.358676i
$784$	26.2546	+	9.65305i	0.937665	+	0.344752i
$785$	−14.2924	+	2.46931i	−0.510118	+	0.0881335i
$786$	−36.8309	−	6.45491i	−1.31371	−	0.230239i
$787$	−26.7095	−	36.7625i	−0.952093	−	1.31044i	−0.950592	−	0.310444i	$-0.899522\pi$
$787$	−26.7095	−	36.7625i	−0.952093	−	1.31044i	−0.00150096	−	0.999999i	$-0.500478\pi$
$788$	24.1737	−	3.35717i	0.861151	−	0.119594i
$789$	6.24468	+	5.40814i	0.222317	+	0.192535i
$790$	13.8518	−	5.81013i	0.492827	−	0.206715i
$791$	1.04499	−	0.759228i	0.0371555	−	0.0269950i
$792$	21.5064	+	9.99568i	0.764196	+	0.355181i
$793$	14.3610			0.509975
$794$	−1.96629	−	8.54874i	−0.0697809	−	0.303384i
$795$	19.0852	+	22.0260i	0.676881	+	0.781182i
$796$	7.68270	−	43.1588i	0.272306	−	1.52972i
$797$	11.5618	−	3.75666i	0.409540	−	0.133068i	−0.0969992	−	0.995284i	$-0.530924\pi$
$797$	11.5618	−	3.75666i	0.409540	−	0.133068i	0.506539	+	0.862217i	$0.330924\pi$
$798$	−0.424668	−	0.0744265i	−0.0150331	−	0.00263467i
$799$			8.48330i			0.300118i
$800$	28.1479	+	2.77441i	0.995178	+	0.0980902i
$801$	−5.39356	+	31.2654i	−0.190572	+	1.10471i
$802$	2.55123	−	28.8892i	0.0900872	−	1.02011i
$803$	1.32034	+	4.06360i	0.0465939	+	0.143401i
$804$	11.5320	−	43.0762i	0.406704	−	1.51918i
$805$	0.194190	−	0.394685i	0.00684430	−	0.0139108i
$806$	20.1521	−	4.63516i	0.709827	−	0.163267i
$807$	−0.236451	+	2.76156i	−0.00832345	+	0.0972114i
$808$	8.89495	−	32.8743i	0.312923	−	1.15651i
$809$	10.2546	+	14.1143i	0.360534	+	0.496233i	0.950297	−	0.311343i	$-0.100779\pi$
$809$	10.2546	+	14.1143i	0.360534	+	0.496233i	−0.589763	+	0.807576i	$0.700779\pi$
$810$	15.4256	−	23.9176i	0.542000	−	0.840378i
$811$	13.9942	−	19.2614i	0.491404	−	0.676359i	−0.489242	−	0.872148i	$-0.662727\pi$
$811$	13.9942	−	19.2614i	0.491404	−	0.676359i	0.980646	+	0.195789i	$0.0627267\pi$
$812$	0.0809157	+	0.582642i	0.00283958	+	0.0204467i
$813$	17.0952	+	28.3322i	0.599555	+	0.993653i
$814$	35.6778	+	3.15074i	1.25051	+	0.110433i
$815$	−34.0816	−	33.1402i	−1.19383	−	1.16085i
$816$	11.8347	−	25.2865i	0.414299	−	0.885203i
$817$	5.80133	−	17.8547i	0.202963	−	0.624656i
$818$	3.03321	−	1.81917i	0.106054	−	0.0636057i
$819$	1.04015	+	0.548122i	0.0363457	+	0.0191529i
$820$	−21.1980	−	29.4905i	−0.740265	−	1.02985i
$821$	0.644797	−	0.209507i	0.0225036	−	0.00731186i	−0.297744	−	0.954646i	$-0.596234\pi$
$821$	0.644797	−	0.209507i	0.0225036	−	0.00731186i	0.320247	+	0.947334i	$0.396234\pi$
$822$	37.3667	−	36.1595i	1.30331	−	1.26121i
$823$	21.0254	−	28.9390i	0.732899	−	1.00875i	−0.266097	−	0.963946i	$-0.585734\pi$
$823$	21.0254	−	28.9390i	0.732899	−	1.00875i	0.998996	−	0.0448028i	$-0.0142659\pi$
$824$	54.8630	−	2.74060i	1.91124	−	0.0954735i
$825$	−1.38882	+	24.1649i	−0.0483526	+	0.841315i
$826$	−0.559120	−	0.932254i	−0.0194543	−	0.0324372i
$827$	16.3488	+	11.8781i	0.568503	+	0.413042i	0.834561	−	0.550915i	$-0.185721\pi$
$827$	16.3488	+	11.8781i	0.568503	+	0.413042i	−0.266058	+	0.963957i	$0.585721\pi$
$828$	13.4995	+	4.88173i	0.469139	+	0.169652i
$829$	16.8061	+	51.7237i	0.583698	+	1.79644i	0.604436	+	0.796654i	$0.293399\pi$
$829$	16.8061	+	51.7237i	0.583698	+	1.79644i	−0.0207372	+	0.999785i	$0.506601\pi$
$830$	6.96238	−	29.5810i	0.241668	−	1.02677i
$831$	19.4129	−	45.9706i	0.673427	−	1.59470i
$832$	−37.9421	+	3.80017i	−1.31541	+	0.131747i
$833$	26.8017	+	8.70841i	0.928625	+	0.301728i
$834$	−1.78535	−	0.946913i	−0.0618215	−	0.0327889i
$835$	−6.42047	+	44.5675i	−0.222189	+	1.54232i
$836$	5.22808	+	10.7637i	0.180817	+	0.372270i
$837$	−5.79492	−	14.8491i	−0.200302	−	0.513259i
$838$	−8.50141	+	19.9827i	−0.293676	+	0.690292i
$839$	−12.8692	−	9.35003i	−0.444295	−	0.322799i	0.343044	−	0.939319i	$-0.388542\pi$
$839$	−12.8692	−	9.35003i	−0.444295	−	0.322799i	−0.787339	+	0.616520i	$0.788542\pi$
$840$	0.892430	−	0.121743i	0.0307918	−	0.00420052i
$841$	−13.1095	+	9.52463i	−0.452053	+	0.328436i
$842$	5.92600	+	25.7642i	0.204223	+	0.887893i
$843$	2.23784	−	26.1362i	0.0770753	−	0.900178i
$844$	−0.915126	+	0.880845i	−0.0314999	+	0.0303199i
$845$	3.09896	−	21.5113i	0.106607	−	0.740012i
$846$	−5.64079	−	6.92479i	−0.193934	−	0.238079i
$847$	0.249323	−	0.0810099i	0.00856684	−	0.00278353i
$848$	−30.0781	−	1.14865i	−1.03289	−	0.0394448i
$849$	−1.08758	+	12.7021i	−0.0373258	+	0.435936i
$850$	28.4432	+	1.71087i	0.975594	+	0.0586823i
$851$	21.6796			0.743167
$852$	11.6546	−	4.47672i	0.399279	−	0.153370i
$853$	−8.54065	−	26.2854i	−0.292426	−	0.899995i	−0.984074	−	0.177760i	$-0.943115\pi$
$853$	−8.54065	−	26.2854i	−0.292426	−	0.899995i	0.691648	−	0.722235i	$-0.256885\pi$
$854$	0.230059	−	0.264217i	0.00787245	−	0.00904131i
$855$	13.6563	−	4.44102i	0.467034	−	0.151880i
$856$	−53.3315	−	14.4301i	−1.82283	−	0.493212i
$857$			3.52202i			0.120310i	0.998189	+	0.0601549i	$0.0191595\pi$
$857$			3.52202i			0.120310i	−0.998189	+	0.0601549i	$0.980841\pi$
$858$	−4.57501	−	32.3098i	−0.156188	−	1.10304i
$859$	−16.6207	−	22.8764i	−0.567091	−	0.780533i	0.425116	−	0.905139i	$-0.360233\pi$
$859$	−16.6207	−	22.8764i	−0.567091	−	0.780533i	−0.992206	+	0.124606i	$0.960233\pi$
$860$	−0.199350	+	39.2193i	−0.00679779	+	1.33737i
$861$	−0.874261	−	0.757145i	−0.0297947	−	0.0258034i
$862$	−5.48065	+	12.8824i	−0.186672	+	0.438775i
$863$	−25.3803	+	18.4398i	−0.863954	+	0.627699i	−0.928958	−	0.370186i	$-0.879294\pi$
$863$	−25.3803	+	18.4398i	−0.863954	+	0.627699i	0.0650037	+	0.997885i	$0.479294\pi$
$864$	7.15317	+	28.5102i	0.243356	+	0.969937i
$865$	4.32680	−	8.79410i	0.147116	−	0.299009i
$866$	−3.46118	+	8.13557i	−0.117616	+	0.276458i
$867$	−0.512856	+	1.21446i	−0.0174175	+	0.0412453i
$868$	0.237551	−	0.445016i	0.00806302	−	0.0151048i
$869$	−12.6263	−	4.10254i	−0.428319	−	0.139169i
$870$	−11.4780	−	15.8785i	−0.389140	−	0.538333i
$871$	−58.3556	+	18.9609i	−1.97730	+	0.642465i
$872$	4.05838	−	1.54648i	0.137434	−	0.0523704i
$873$	17.3689	+	17.8531i	0.587847	+	0.604237i
$874$	3.72539	+	6.21156i	0.126013	+	0.210109i
$875$	0.451368	+	0.800826i	0.0152590	+	0.0270729i
$876$	−2.88327	+	4.44199i	−0.0974167	+	0.150081i
$877$	8.12642	+	5.90419i	0.274410	+	0.199370i	0.716475	−	0.697612i	$-0.245754\pi$
$877$	8.12642	+	5.90419i	0.274410	+	0.199370i	−0.442066	+	0.896983i	$0.645754\pi$
$878$	19.3454	−	22.2177i	0.652875	−	0.749810i
$879$	17.2494	−	4.01602i	0.581809	−	0.135457i
$880$	−17.2444	−	18.0987i	−0.581307	−	0.610107i
$881$	−16.8622	−	5.47887i	−0.568102	−	0.184588i	0.0108612	−	0.999941i	$-0.496543\pi$
$881$	−16.8622	−	5.47887i	−0.568102	−	0.184588i	−0.578964	+	0.815353i	$0.696543\pi$
$882$	−27.6683	+	10.7127i	−0.931641	+	0.360715i
$883$	−40.4287	−	13.1361i	−1.36053	−	0.442065i	−0.464313	−	0.885671i	$-0.653699\pi$
$883$	−40.4287	−	13.1361i	−1.36053	−	0.442065i	−0.896222	+	0.443607i	$0.853699\pi$
$884$	−38.0504	+	5.28433i	−1.27977	+	0.177731i
$885$	31.0060	+	18.6978i	1.04226	+	0.628521i
$886$	23.4057	+	2.06698i	0.786331	+	0.0694416i
$887$	−22.9236	+	16.6550i	−0.769700	+	0.559220i	−0.901870	−	0.432007i	$-0.857806\pi$
$887$	−22.9236	+	16.6550i	−0.769700	+	0.559220i	0.132170	+	0.991227i	$0.457806\pi$
$888$	24.8018	+	36.8174i	0.832293	+	1.23551i
$889$	−1.08683	−	0.789629i	−0.0364512	−	0.0264833i
$890$	17.3468	−	28.5928i	0.581465	−	0.958433i
$891$	−24.1279	+	7.11247i	−0.808315	+	0.238277i
$892$	12.7839	−	12.3050i	0.428038	−	0.412003i
$893$		−	4.50653i		−	0.150805i
$894$	6.42348	−	0.909553i	0.214833	−	0.0304200i
$895$	−17.0824	−	32.3966i	−0.571003	−	1.08290i
$896$	−0.537904	+	0.758944i	−0.0179701	+	0.0253545i
$897$	−4.47889	−	19.2375i	−0.149546	−	0.642323i
$898$	−0.781748	+	8.85223i	−0.0260873	+	0.295403i
$899$	−10.9732			−0.365976
$900$	−24.3554	+	17.5162i	−0.811846	+	0.583872i
$901$	−30.3239			−1.01024
$902$	−2.82376	+	31.9752i	−0.0940210	+	1.06466i
$903$	0.283202	+	1.21640i	0.00942438	+	0.0404792i
$904$	−15.8220	−	41.5211i	−0.526231	−	1.38097i
$905$	−1.39505	+	9.68366i	−0.0463729	+	0.321896i
$906$	36.3097	−	5.14138i	1.20631	−	0.170811i
$907$		−	12.5127i		−	0.415478i	−0.978184	−	0.207739i	$-0.933390\pi$
$907$		−	12.5127i		−	0.415478i	0.978184	−	0.207739i	$-0.0666104\pi$
$908$	12.4354	+	12.9193i	0.412683	+	0.428744i
$909$	15.9552	+	32.4076i	0.529199	+	1.07489i
$910$	−0.809075	−	0.938795i	−0.0268206	−	0.0311207i
$911$	−26.6278	−	19.3462i	−0.882219	−	0.640970i	0.0516184	−	0.998667i	$-0.483562\pi$
$911$	−26.6278	−	19.3462i	−0.882219	−	0.640970i	−0.933838	+	0.357697i	$0.883562\pi$
$912$	−6.28689	+	13.4328i	−0.208180	+	0.444803i
$913$	−21.7295	+	15.7874i	−0.719140	+	0.522486i
$914$	51.1206	+	4.51451i	1.69092	+	0.149327i
$915$	−2.64311	+	11.3657i	−0.0873787	+	0.375737i
$916$	1.19102	+	8.57607i	0.0393524	+	0.283361i
$917$	1.19371	+	0.387861i	0.0394198	+	0.0128083i
$918$	8.29719	+	28.4263i	0.273848	+	0.938208i
$919$	25.1738	+	8.17948i	0.830409	+	0.269816i	0.693217	−	0.720729i	$-0.256193\pi$
$919$	25.1738	+	8.17948i	0.830409	+	0.269816i	0.137191	+	0.990545i	$0.456193\pi$
$920$	−11.3611	−	9.99436i	−0.374566	−	0.329504i
$921$	−12.5995	+	2.93342i	−0.415168	+	0.0966596i
$922$	−27.2392	+	31.2835i	−0.897074	+	1.03027i
$923$	−13.8978	−	10.0974i	−0.457453	−	0.332359i
$924$	−0.667733	−	0.433421i	−0.0219668	−	0.0142585i
$925$	−25.5942	+	37.3858i	−0.841532	+	1.22924i
$926$	14.5783	+	24.3073i	0.479074	+	0.798789i
$927$	−41.7611	+	40.6283i	−1.37161	+	1.33441i
$928$	20.0741	+	2.54797i	0.658966	+	0.0836411i
$929$	−16.3510	+	5.31275i	−0.536458	+	0.174306i	−0.564701	−	0.825295i	$-0.691009\pi$
$929$	−16.3510	+	5.31275i	−0.536458	+	0.174306i	0.0282436	+	0.999601i	$0.491009\pi$
$930$	−0.0405674	+	16.8019i	−0.00133026	+	0.550957i
$931$	−14.2377	−	4.62611i	−0.466622	−	0.151615i
$932$	−3.58601	−	1.91423i	−0.117464	−	0.0627026i
$933$	−1.32329	+	3.13360i	−0.0433226	+	0.102590i
$934$	8.25482	−	19.4031i	0.270106	−	0.634889i
$935$	−18.0558	−	17.5571i	−0.590486	−	0.574177i
$936$	27.5462	−	29.6143i	0.900377	−	0.967974i
$937$	−33.1311	+	24.0711i	−1.08234	+	0.786369i	−0.978090	−	0.208182i	$-0.933246\pi$
$937$	−33.1311	+	24.0711i	−1.08234	+	0.786369i	−0.104254	+	0.994551i	$0.533246\pi$
$938$	−0.585992	+	1.37738i	−0.0191333	+	0.0449732i
$939$	−12.3148	−	10.6651i	−0.401879	−	0.348043i
$940$	2.86372	+	8.96849i	0.0934043	+	0.292520i
$941$	10.9977	+	15.1370i	0.358515	+	0.493454i	0.949734	−	0.313057i	$-0.101353\pi$
$941$	10.9977	+	15.1370i	0.358515	+	0.493454i	−0.591219	+	0.806511i	$0.701353\pi$
$942$	2.22756	+	15.7316i	0.0725779	+	0.512563i
$943$			19.4298i			0.632720i
$944$	−35.9798	+	10.1901i	−1.17104	+	0.331659i
$945$	−0.625234	+	0.722317i	−0.0203389	+	0.0234970i
$946$	22.7628	−	26.1425i	0.740084	−	0.849967i
$947$	−3.26868	−	10.0599i	−0.106218	−	0.326904i	0.883797	−	0.467871i	$-0.154979\pi$
$947$	−3.26868	−	10.0599i	−0.106218	−	0.326904i	−0.990014	+	0.140967i	$0.954979\pi$
$948$	−5.90023	−	15.3605i	−0.191631	−	0.498886i
$949$	7.28673			0.236537
$950$	−15.1097	−	0.908854i	−0.490224	−	0.0294871i
$951$	−2.44945	+	28.6076i	−0.0794288	+	0.927665i
$952$	−0.512333	+	0.784711i	−0.0166048	+	0.0254326i
$953$	34.4460	−	11.1922i	1.11581	−	0.362550i	0.307645	−	0.951501i	$-0.400459\pi$
$953$	34.4460	−	11.1922i	1.11581	−	0.362550i	0.808169	+	0.588951i	$0.200459\pi$
$954$	24.7530	−	20.1633i	0.801407	−	0.652809i
$955$	25.5249	−	26.2499i	0.825968	−	0.849428i
$956$	16.8791	+	17.5360i	0.545910	+	0.567156i
$957$	−1.47729	+	17.2535i	−0.0477539	+	0.557727i
$958$	−0.873192	−	3.79634i	−0.0282116	−	0.122654i
$959$	−1.41207	+	1.02593i	−0.0455980	+	0.0331289i
$960$	3.97561	−	30.7277i	0.128312	−	0.991734i
$961$	−17.4665	−	12.6901i	−0.563435	−	0.409360i
$962$	23.9125	−	56.2068i	0.770970	−	1.81218i
$963$	52.5744	−	25.8838i	1.69419	−	0.834094i
$964$	−36.7874	+	17.8682i	−1.18484	+	0.575495i
$965$	18.2409	−	3.15149i	0.587195	−	0.101450i
$966$	−0.425686	−	0.225776i	−0.0136962	−	0.00726422i
$967$	−5.22806	−	1.69870i	−0.168123	−	0.0546265i	0.223746	−	0.974647i	$-0.428171\pi$
$967$	−5.22806	−	1.69870i	−0.168123	−	0.0546265i	−0.391869	+	0.920021i	$0.628171\pi$
$968$	−0.449924	−	9.00683i	−0.0144611	−	0.289491i
$969$	−5.81261	+	13.7645i	−0.186728	+	0.442179i
$970$	−10.1556	−	24.2118i	−0.326076	−	0.777393i
$971$	−4.59684	−	14.1476i	−0.147520	−	0.454019i	0.849807	−	0.527094i	$-0.176719\pi$
$971$	−4.59684	−	14.1476i	−0.147520	−	0.454019i	−0.997326	+	0.0730755i	$0.976719\pi$
$972$	−25.6743	−	17.6869i	−0.823505	−	0.567309i
$973$	0.0548805	+	0.0398730i	0.00175939	+	0.00127827i
$974$	18.0400	+	30.0791i	0.578037	+	0.963796i
$975$	38.4621	+	14.9875i	1.23177	+	0.479984i
$976$	−6.70655	−	10.0132i	−0.214671	−	0.320515i
$977$	20.0258	−	27.5632i	0.640683	−	0.881825i	−0.357969	−	0.933734i	$-0.616531\pi$
$977$	20.0258	−	27.5632i	0.640683	−	0.881825i	0.998652	+	0.0519089i	$0.0165305\pi$
$978$	−37.4220	+	36.2131i	−1.19662	+	1.15797i
$979$	−28.1117	+	9.13405i	−0.898454	+	0.291925i
$980$	31.2743	+	0.158966i	0.999021	+	0.00507799i
$981$	−2.14753	+	4.07528i	−0.0685655	+	0.130114i
$982$	−18.3261	+	10.9911i	−0.584809	+	0.350740i
$983$	11.8913	−	36.5975i	0.379272	−	1.16728i	−0.561278	−	0.827627i	$-0.689690\pi$
$983$	11.8913	−	36.5975i	0.379272	−	1.16728i	0.940551	−	0.339653i	$-0.110310\pi$
$984$	−32.9966	+	22.2279i	−1.05189	+	0.708600i
$985$	24.1365	−	12.7269i	0.769053	−	0.405514i
$986$	20.3067	+	1.79330i	0.646696	+	0.0571103i
$987$	0.154885	+	0.256694i	0.00493006	+	0.00817067i
$988$	20.2132	−	2.80716i	0.643069	−	0.0893076i
$989$	12.3328	−	16.9746i	0.392160	−	0.539762i
$990$	26.4128	+	2.32578i	0.839455	+	0.0739181i
$991$	16.2543	+	22.3721i	0.516335	+	0.710674i	0.984972	−	0.172717i	$-0.0552545\pi$
$991$	16.2543	+	22.3721i	0.516335	+	0.710674i	−0.468636	+	0.883391i	$0.655255\pi$
$992$	−12.6428	−	11.8864i	−0.401410	−	0.377394i
$993$	3.26621	−	38.1467i	0.103650	−	1.21055i
$994$	−0.408412	+	0.0939384i	−0.0129540	+	0.00297955i
$995$	−8.34414	−	48.2960i	−0.264527	−	1.53109i
$996$	−32.1574	−	8.60893i	−1.01895	−	0.272784i
$997$	4.70023	+	14.4658i	0.148858	+	0.458137i	0.997487	−	0.0708511i	$-0.0225715\pi$
$997$	4.70023	+	14.4658i	0.148858	+	0.458137i	−0.848629	+	0.528988i	$0.822572\pi$
$998$	−3.80308	+	43.0646i	−0.120384	+	1.36319i
$999$	−45.5475	−	11.9335i	−1.44106	−	0.377559i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.191.56	yes	224
3.2	odd	2	inner	300.2.n.a.191.1	yes	224
4.3	odd	2	inner	300.2.n.a.191.23	yes	224
12.11	even	2	inner	300.2.n.a.191.34	yes	224
25.11	even	5	inner	300.2.n.a.11.34	yes	224
75.11	odd	10	inner	300.2.n.a.11.23	yes	224
100.11	odd	10	inner	300.2.n.a.11.1	✓	224
300.11	even	10	inner	300.2.n.a.11.56	yes	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.1	✓	224	100.11	odd	10	inner
300.2.n.a.11.23	yes	224	75.11	odd	10	inner
300.2.n.a.11.34	yes	224	25.11	even	5	inner
300.2.n.a.11.56	yes	224	300.11	even	10	inner
300.2.n.a.191.1	yes	224	3.2	odd	2	inner
300.2.n.a.191.23	yes	224	4.3	odd	2	inner
300.2.n.a.191.34	yes	224	12.11	even	2	inner
300.2.n.a.191.56	yes	224	1.1	even	1	trivial

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.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.40873 + 0.124406i) q^{2} +(-0.392752 - 1.68693i) q^{3} +(1.96905 + 0.350510i) q^{4} +(2.20342 - 0.380687i) q^{5} +(-0.343417 - 2.42530i) q^{6} +0.0822219i q^{7} +(2.73025 + 0.738736i) q^{8} +(-2.69149 + 1.32509i) q^{9} +O(q^{10})\)	\(q+(1.40873 + 0.124406i) q^{2} +(-0.392752 - 1.68693i) q^{3} +(1.96905 + 0.350510i) q^{4} +(2.20342 - 0.380687i) q^{5} +(-0.343417 - 2.42530i) q^{6} +0.0822219i q^{7} +(2.73025 + 0.738736i) q^{8} +(-2.69149 + 1.32509i) q^{9} +(3.15139 - 0.262166i) q^{10} +(-2.26115 - 1.64282i) q^{11} +(-0.182061 - 3.45931i) q^{12} +(-3.85618 + 2.80168i) q^{13} +(-0.0102289 + 0.115829i) q^{14} +(-1.50759 - 3.56751i) q^{15} +(3.75429 + 1.38034i) q^{16} +(3.83252 + 1.24526i) q^{17} +(-3.95644 + 1.53186i) q^{18} +(-2.03592 - 0.661512i) q^{19} +(4.47208 + 0.0227314i) q^{20} +(0.138703 - 0.0322929i) q^{21} +(-2.98097 - 2.59559i) q^{22} +(-1.93558 - 1.40628i) q^{23} +(0.173886 - 4.89589i) q^{24} +(4.71015 - 1.67763i) q^{25} +(-5.78086 + 3.46707i) q^{26} +(3.29244 + 4.01993i) q^{27} +(-0.0288196 + 0.161899i) q^{28} +(3.40204 - 1.10539i) q^{29} +(-1.67997 - 5.21322i) q^{30} +(-2.91747 - 0.947944i) q^{31} +(5.11706 + 2.41159i) q^{32} +(-1.88326 + 4.45962i) q^{33} +(5.24407 + 2.23103i) q^{34} +(0.0313008 + 0.181170i) q^{35} +(-5.76413 + 1.66578i) q^{36} +(-7.33089 + 5.32620i) q^{37} +(-2.78577 - 1.18517i) q^{38} +(6.24076 + 5.40475i) q^{39} +(6.29713 + 0.588377i) q^{40} +(-4.77346 - 6.57011i) q^{41} +(0.199413 - 0.0282364i) q^{42} +8.76981i q^{43} +(-3.87648 - 4.02734i) q^{44} +(-5.42605 + 3.94436i) q^{45} +(-2.55176 - 2.22187i) q^{46} +(0.650533 + 2.00213i) q^{47} +(0.854038 - 6.87536i) q^{48} +6.99324 q^{49} +(6.84405 - 1.77736i) q^{50} +(0.595441 - 6.95428i) q^{51} +(-8.57500 + 4.16500i) q^{52} +(-7.15672 + 2.32536i) q^{53} +(4.13805 + 6.07260i) q^{54} +(-5.60766 - 2.75904i) q^{55} +(-0.0607403 + 0.224486i) q^{56} +(-0.316312 + 3.69428i) q^{57} +(4.93007 - 1.13396i) q^{58} +(-7.56329 + 5.49505i) q^{59} +(-1.71807 - 7.55303i) q^{60} +(-2.43750 - 1.77094i) q^{61} +(-3.99200 - 1.69835i) q^{62} +(-0.108952 - 0.221300i) q^{63} +(6.90854 + 4.03387i) q^{64} +(-7.43023 + 7.64128i) q^{65} +(-3.20781 + 6.04812i) q^{66} +(12.2429 + 3.97795i) q^{67} +(7.10993 + 3.79531i) q^{68} +(-1.61210 + 3.81751i) q^{69} +(0.0215558 + 0.259113i) q^{70} +(1.11371 + 3.42765i) q^{71} +(-8.32734 + 1.62954i) q^{72} +(-1.23678 - 0.898571i) q^{73} +(-10.9899 + 6.59118i) q^{74} +(-4.67998 - 7.28682i) q^{75} +(-3.77696 - 2.01616i) q^{76} +(0.135076 - 0.185916i) q^{77} +(8.11917 + 8.39023i) q^{78} +(4.51758 - 1.46785i) q^{79} +(8.79776 + 1.61227i) q^{80} +(5.48825 - 7.13296i) q^{81} +(-5.90716 - 9.84936i) q^{82} +(2.96963 - 9.13959i) q^{83} +(0.284431 - 0.0149694i) q^{84} +(8.91872 + 1.28485i) q^{85} +(-1.09102 + 12.3543i) q^{86} +(-3.20088 - 5.30487i) q^{87} +(-4.95989 - 6.15570i) q^{88} +(6.21625 - 8.55594i) q^{89} +(-8.13455 + 4.88151i) q^{90} +(-0.230359 - 0.317062i) q^{91} +(-3.31832 - 3.44747i) q^{92} +(-0.453274 + 5.29389i) q^{93} +(0.667348 + 2.90140i) q^{94} +(-4.73783 - 0.682541i) q^{95} +(2.05845 - 9.57929i) q^{96} +(-2.56567 - 7.89632i) q^{97} +(9.85159 + 0.870003i) q^{98} +(8.26274 + 1.42540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9	\( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) 224 * q - 6 * q^4 + q^6 - 6 * q^9 - 8 * q^10 - 9 * q^12 - 12 * q^13 - 18 * q^16 - 26 * q^18 + 12 * q^21 - 6 * q^22 - 16 * q^24 - 12 * q^25 + 2 * q^28 - 13 * q^30 + 6 * q^33 - 30 * q^34 + 35 * q^36 + 12 * q^37 - 24 * q^40 - 13 * q^42 - 6 * q^45 - 18 * q^46 - 34 * q^48 - 168 * q^49 - 28 * q^52 - 38 * q^54 - 44 * q^57 - 34 * q^58 - 76 * q^60 + 4 * q^61 + 18 * q^64 - 46 * q^66 - 18 * q^69 + 72 * q^70 - 29 * q^72 - 20 * q^73 + 16 * q^76 + 5 * q^78 - 30 * q^81 - 20 * q^82 - 18 * q^84 - 76 * q^85 + 6 * q^88 + 2 * q^90 - 52 * q^93 + 96 * q^94 - 50 * q^96 - 72 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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