LMFDB - Embedded newform 300.2.n.a.191.16

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			191.16
Character	$\chi$	$=$	300.191
Dual form			300.2.n.a.11.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.923787 + 1.07080i) q^{2} +(1.20611 - 1.24310i) q^{3} +(-0.293236 - 1.97839i) q^{4} +(2.16410 + 0.562738i) q^{5} +(0.216925 + 2.43987i) q^{6} -3.72853i q^{7} +(2.38935 + 1.51361i) q^{8} +(-0.0905939 - 2.99863i) q^{9} +O(q^{10})$	\(q+(-0.923787 + 1.07080i) q^{2} +(1.20611 - 1.24310i) q^{3} +(-0.293236 - 1.97839i) q^{4} +(2.16410 + 0.562738i) q^{5} +(0.216925 + 2.43987i) q^{6} -3.72853i q^{7} +(2.38935 + 1.51361i) q^{8} +(-0.0905939 - 2.99863i) q^{9} +(-2.60175 + 1.79747i) q^{10} +(-2.85309 - 2.07289i) q^{11} +(-2.81301 - 2.02163i) q^{12} +(-2.64426 + 1.92116i) q^{13} +(3.99251 + 3.44436i) q^{14} +(3.30968 - 2.01147i) q^{15} +(-3.82803 + 1.16027i) q^{16} +(-1.89045 - 0.614246i) q^{17} +(3.29463 + 2.67309i) q^{18} +(3.02333 + 0.982340i) q^{19} +(0.478722 - 4.44644i) q^{20} +(-4.63493 - 4.49701i) q^{21} +(4.85531 - 1.14019i) q^{22} +(1.00203 + 0.728021i) q^{23} +(4.76339 - 1.14462i) q^{24} +(4.36665 + 2.43564i) q^{25} +(0.385541 - 4.60622i) q^{26} +(-3.83686 - 3.50406i) q^{27} +(-7.37646 + 1.09334i) q^{28} +(2.72526 - 0.885489i) q^{29} +(-0.903558 + 5.40218i) q^{30} +(9.25193 + 3.00613i) q^{31} +(2.29386 - 5.17090i) q^{32} +(-6.01796 + 1.04654i) q^{33} +(2.40411 - 1.45687i) q^{34} +(2.09818 - 8.06890i) q^{35} +(-5.90589 + 1.05854i) q^{36} +(-2.96797 + 2.15636i) q^{37} +(-3.84481 + 2.32992i) q^{38} +(-0.801066 + 5.60421i) q^{39} +(4.31902 + 4.62018i) q^{40} +(7.18888 + 9.89465i) q^{41} +(9.09710 - 0.808811i) q^{42} +5.08317i q^{43} +(-3.26436 + 6.25237i) q^{44} +(1.49139 - 6.54032i) q^{45} +(-1.70523 + 0.400445i) q^{46} +(-0.623353 - 1.91848i) q^{47} +(-3.17469 + 6.15803i) q^{48} -6.90190 q^{49} +(-6.64195 + 2.42581i) q^{50} +(-3.04367 + 1.60918i) q^{51} +(4.57620 + 4.66800i) q^{52} +(4.01912 - 1.30589i) q^{53} +(7.29661 - 0.871516i) q^{54} +(-5.00788 - 6.09149i) q^{55} +(5.64353 - 8.90875i) q^{56} +(4.86762 - 2.57349i) q^{57} +(-1.56937 + 3.73621i) q^{58} +(2.52634 - 1.83549i) q^{59} +(-4.94998 - 5.95800i) q^{60} +(7.65840 + 5.56415i) q^{61} +(-11.7658 + 7.12996i) q^{62} +(-11.1805 + 0.337782i) q^{63} +(3.41797 + 7.23308i) q^{64} +(-6.80354 + 2.66957i) q^{65} +(4.43867 - 7.41083i) q^{66} +(-13.7784 - 4.47688i) q^{67} +(-0.660867 + 3.92017i) q^{68} +(2.11357 - 0.367555i) q^{69} +(6.70192 + 9.70068i) q^{70} +(-1.64679 - 5.06831i) q^{71} +(4.32230 - 7.30190i) q^{72} +(-5.62788 - 4.08889i) q^{73} +(0.432740 - 5.17013i) q^{74} +(8.29441 - 2.49053i) q^{75} +(1.05690 - 6.26938i) q^{76} +(-7.72884 + 10.6378i) q^{77} +(-5.26099 - 6.03488i) q^{78} +(-9.60080 + 3.11949i) q^{79} +(-8.93715 + 0.356760i) q^{80} +(-8.98359 + 0.543315i) q^{81} +(-17.2362 - 1.44267i) q^{82} +(-4.65327 + 14.3213i) q^{83} +(-7.53770 + 10.4884i) q^{84} +(-3.74547 - 2.39312i) q^{85} +(-5.44307 - 4.69576i) q^{86} +(2.18621 - 4.45576i) q^{87} +(-3.67948 - 9.27133i) q^{88} +(1.86723 - 2.57002i) q^{89} +(5.62566 + 7.63884i) q^{90} +(7.16311 + 9.85917i) q^{91} +(1.14647 - 2.19589i) q^{92} +(14.8958 - 7.87534i) q^{93} +(2.63016 + 1.10478i) q^{94} +(5.98999 + 3.82723i) q^{95} +(-3.66129 - 9.08818i) q^{96} +(0.754039 + 2.32069i) q^{97} +(6.37589 - 7.39058i) q^{98} +(-5.95737 + 8.74317i) 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 $

$2$	−0.923787	+	1.07080i	−0.653216	+	0.757172i
$2$	−0.923787	+	1.07080i	−0.653216	+	0.757172i
$3$	1.20611	−	1.24310i	0.696348	−	0.717704i
$3$	1.20611	−	1.24310i	0.696348	−	0.717704i
$4$	−0.293236	−	1.97839i	−0.146618	−	0.989193i
$5$	2.16410	+	0.562738i	0.967815	+	0.251664i
$5$	2.16410	+	0.562738i	0.967815	+	0.251664i
$6$	0.216925	+	2.43987i	0.0885593	+	0.996071i
$7$		−	3.72853i		−	1.40925i	−0.709580	−	0.704625i	$-0.751115\pi$
$7$		−	3.72853i		−	1.40925i	0.709580	−	0.704625i	$-0.248885\pi$
$8$	2.38935	+	1.51361i	0.844762	+	0.535142i
$9$	−0.0905939	−	2.99863i	−0.0301980	−	0.999544i
$10$	−2.60175	+	1.79747i	−0.822745	+	0.568411i
$11$	−2.85309	−	2.07289i	−0.860240	−	0.625001i	0.0677102	−	0.997705i	$-0.478431\pi$
$11$	−2.85309	−	2.07289i	−0.860240	−	0.625001i	−0.927950	+	0.372704i	$0.878431\pi$
$12$	−2.81301	−	2.02163i	−0.812045	−	0.583595i
$13$	−2.64426	+	1.92116i	−0.733384	+	0.532835i	−0.890632	−	0.454724i	$-0.849738\pi$
$13$	−2.64426	+	1.92116i	−0.733384	+	0.532835i	0.157248	+	0.987559i	$0.449738\pi$
$14$	3.99251	+	3.44436i	1.06704	+	0.920545i
$15$	3.30968	−	2.01147i	0.854556	−	0.519358i
$16$	−3.82803	+	1.16027i	−0.957006	+	0.290067i
$17$	−1.89045	−	0.614246i	−0.458503	−	0.148977i	0.0706537	−	0.997501i	$-0.477491\pi$
$17$	−1.89045	−	0.614246i	−0.458503	−	0.148977i	−0.529156	+	0.848524i	$0.677491\pi$
$18$	3.29463	+	2.67309i	0.776552	+	0.630053i
$19$	3.02333	+	0.982340i	0.693600	+	0.225364i	0.634540	−	0.772890i	$-0.281190\pi$
$19$	3.02333	+	0.982340i	0.693600	+	0.225364i	0.0590600	+	0.998254i	$0.481190\pi$
$20$	0.478722	−	4.44644i	0.107045	−	0.994254i
$21$	−4.63493	−	4.49701i	−1.01142	−	0.981329i
$22$	4.85531	−	1.14019i	1.03516	−	0.243089i
$23$	1.00203	+	0.728021i	0.208939	+	0.151803i	0.687333	−	0.726342i	$-0.258781\pi$
$23$	1.00203	+	0.728021i	0.208939	+	0.151803i	−0.478395	+	0.878145i	$0.658781\pi$
$24$	4.76339	−	1.14462i	0.972322	−	0.233644i
$25$	4.36665	+	2.43564i	0.873330	+	0.487129i
$26$	0.385541	−	4.60622i	0.0756108	−	0.903354i
$27$	−3.83686	−	3.50406i	−0.738405	−	0.674358i
$28$	−7.37646	+	1.09334i	−1.39402	+	0.206621i
$29$	2.72526	−	0.885489i	0.506067	−	0.164431i	−0.0448457	−	0.998994i	$-0.514280\pi$
$29$	2.72526	−	0.885489i	0.506067	−	0.164431i	0.550913	+	0.834563i	$0.314280\pi$
$30$	−0.903558	+	5.40218i	−0.164966	+	0.986299i
$31$	9.25193	+	3.00613i	1.66170	+	0.539918i	0.981226	−	0.192859i	$-0.0617761\pi$
$31$	9.25193	+	3.00613i	1.66170	+	0.539918i	0.680469	+	0.732777i	$0.261776\pi$
$32$	2.29386	−	5.17090i	0.405501	−	0.914095i
$33$	−6.01796	+	1.04654i	−1.04759	+	0.182179i
$34$	2.40411	−	1.45687i	0.412302	−	0.249851i
$35$	2.09818	−	8.06890i	0.354658	−	1.36389i
$36$	−5.90589	+	1.05854i	−0.984314	+	0.176423i
$37$	−2.96797	+	2.15636i	−0.487932	+	0.354503i	−0.804388	−	0.594104i	$-0.797507\pi$
$37$	−2.96797	+	2.15636i	−0.487932	+	0.354503i	0.316457	+	0.948607i	$0.397507\pi$
$38$	−3.84481	+	2.32992i	−0.623710	+	0.377963i
$39$	−0.801066	+	5.60421i	−0.128273	+	0.897392i
$40$	4.31902	+	4.62018i	0.682897	+	0.730514i
$41$	7.18888	+	9.89465i	1.12272	+	1.54528i	0.801216	+	0.598375i	$0.204187\pi$
$41$	7.18888	+	9.89465i	1.12272	+	1.54528i	0.321499	+	0.946910i	$0.395813\pi$
$42$	9.09710	−	0.808811i	1.40371	−	0.124802i
$43$			5.08317i			0.775176i	0.921833	+	0.387588i	$0.126692\pi$
$43$			5.08317i			0.775176i	−0.921833	+	0.387588i	$0.873308\pi$
$44$	−3.26436	+	6.25237i	−0.492120	+	0.942580i
$45$	1.49139	−	6.54032i	0.222323	−	0.974973i
$46$	−1.70523	+	0.400445i	−0.251423	+	0.0590424i
$47$	−0.623353	−	1.91848i	−0.0909254	−	0.279840i	0.895245	−	0.445574i	$-0.147000\pi$
$47$	−0.623353	−	1.91848i	−0.0909254	−	0.279840i	−0.986170	+	0.165735i	$0.947000\pi$
$48$	−3.17469	+	6.15803i	−0.458228	+	0.888835i
$49$	−6.90190			−0.985986
$50$	−6.64195	+	2.42581i	−0.939313	+	0.343061i
$51$	−3.04367	+	1.60918i	−0.426199	+	0.225330i
$52$	4.57620	+	4.66800i	0.634604	+	0.647336i
$53$	4.01912	−	1.30589i	0.552069	−	0.179378i	−0.0196806	−	0.999806i	$-0.506265\pi$
$53$	4.01912	−	1.30589i	0.552069	−	0.179378i	0.571749	+	0.820428i	$0.306265\pi$
$54$	7.29661	−	0.871516i	0.992942	−	0.118598i
$55$	−5.00788	−	6.09149i	−0.675263	−	0.821377i
$56$	5.64353	−	8.90875i	0.754149	−	1.19048i
$57$	4.86762	−	2.57349i	0.644732	−	0.340867i
$58$	−1.56937	+	3.73621i	−0.206069	+	0.490589i
$59$	2.52634	−	1.83549i	0.328901	−	0.238960i	−0.411063	−	0.911607i	$-0.634842\pi$
$59$	2.52634	−	1.83549i	0.328901	−	0.238960i	0.739964	+	0.672646i	$0.234842\pi$
$60$	−4.94998	−	5.95800i	−0.639039	−	0.769174i
$61$	7.65840	+	5.56415i	0.980558	+	0.712417i	0.957833	−	0.287325i	$-0.0927660\pi$
$61$	7.65840	+	5.56415i	0.980558	+	0.712417i	0.0227244	+	0.999742i	$0.492766\pi$
$62$	−11.7658	+	7.12996i	−1.49426	+	0.905506i
$63$	−11.1805	+	0.337782i	−1.40861	+	0.0425565i
$64$	3.41797	+	7.23308i	0.427247	+	0.904135i
$65$	−6.80354	+	2.66957i	−0.843876	+	0.331119i
$66$	4.43867	−	7.41083i	0.546363	−	0.912210i
$67$	−13.7784	−	4.47688i	−1.68330	−	0.546938i	−0.697754	−	0.716337i	$-0.745817\pi$
$67$	−13.7784	−	4.47688i	−1.68330	−	0.546938i	−0.985548	+	0.169399i	$0.945817\pi$
$68$	−0.660867	+	3.92017i	−0.0801418	+	0.475390i
$69$	2.11357	−	0.367555i	0.254444	−	0.0442485i
$70$	6.70192	+	9.70068i	0.801033	+	1.15945i
$71$	−1.64679	−	5.06831i	−0.195438	−	0.601497i	−0.999971	−	0.00758919i	$-0.997584\pi$
$71$	−1.64679	−	5.06831i	−0.195438	−	0.601497i	0.804533	−	0.593908i	$-0.202416\pi$
$72$	4.32230	−	7.30190i	0.509388	−	0.860537i
$73$	−5.62788	−	4.08889i	−0.658693	−	0.478569i	0.207528	−	0.978229i	$-0.433458\pi$
$73$	−5.62788	−	4.08889i	−0.658693	−	0.478569i	−0.866221	+	0.499660i	$0.833458\pi$
$74$	0.432740	−	5.17013i	0.0503050	−	0.601015i
$75$	8.29441	−	2.49053i	0.957756	−	0.287581i
$76$	1.05690	−	6.26938i	0.121235	−	0.719147i
$77$	−7.72884	+	10.6378i	−0.880783	+	1.21229i
$78$	−5.26099	−	6.03488i	−0.595689	−	0.683315i
$79$	−9.60080	+	3.11949i	−1.08017	+	0.350970i	−0.794442	−	0.607339i	$-0.792237\pi$
$79$	−9.60080	+	3.11949i	−1.08017	+	0.350970i	−0.285732	+	0.958309i	$0.592237\pi$
$80$	−8.93715	+	0.356760i	−0.999204	+	0.0398869i
$81$	−8.98359	+	0.543315i	−0.998176	+	0.0603684i
$82$	−17.2362	−	1.44267i	−1.90342	−	0.159316i
$83$	−4.65327	+	14.3213i	−0.510763	+	1.57197i	0.280099	+	0.959971i	$0.409633\pi$
$83$	−4.65327	+	14.3213i	−0.510763	+	1.57197i	−0.790862	+	0.611995i	$0.790367\pi$
$84$	−7.53770	+	10.4884i	−0.822431	+	1.14437i
$85$	−3.74547	−	2.39312i	−0.406253	−	0.259570i
$86$	−5.44307	−	4.69576i	−0.586941	−	0.506357i
$87$	2.18621	−	4.45576i	0.234386	−	0.477708i
$88$	−3.67948	−	9.27133i	−0.392234	−	0.988328i
$89$	1.86723	−	2.57002i	0.197926	−	0.272421i	−0.698505	−	0.715605i	$-0.746151\pi$
$89$	1.86723	−	2.57002i	0.197926	−	0.272421i	0.896431	+	0.443184i	$0.146151\pi$
$90$	5.62566	+	7.63884i	0.592997	+	0.805205i
$91$	7.16311	+	9.85917i	0.750898	+	1.03352i
$92$	1.14647	−	2.19589i	0.119528	−	0.228938i
$93$	14.8958	−	7.87534i	1.54462	−	0.816635i
$94$	2.63016	+	1.10478i	0.271280	+	0.113950i
$95$	5.98999	+	3.82723i	0.614560	+	0.392665i
$96$	−3.66129	−	9.08818i	−0.373679	−	0.927558i
$97$	0.754039	+	2.32069i	0.0765611	+	0.235631i	0.982011	−	0.188821i	$-0.0604667\pi$
$97$	0.754039	+	2.32069i	0.0765611	+	0.235631i	−0.905450	+	0.424452i	$0.860467\pi$
$98$	6.37589	−	7.39058i	0.644062	−	0.746561i
$99$	−5.95737	+	8.74317i	−0.598738	+	0.878721i
$100$	3.53818	−	9.35314i	0.353818	−	0.935314i
$101$		−	10.8638i		−	1.08098i	−0.841349	−	0.540492i	$-0.818238\pi$
$101$		−	10.8638i		−	1.08098i	0.841349	−	0.540492i	$-0.181762\pi$
$102$	1.08859	−	4.74570i	0.107787	−	0.469894i
$103$	11.8136	−	3.83848i	1.16403	−	0.378216i	0.337619	−	0.941283i	$-0.390379\pi$
$103$	11.8136	−	3.83848i	1.16403	−	0.378216i	0.826412	+	0.563066i	$0.190379\pi$
$104$	−9.22594	+	0.587961i	−0.904678	+	0.0576543i
$105$	−7.49981	−	12.3402i	−0.731906	−	1.20428i
$106$	−2.31446	+	5.51005i	−0.224800	+	0.535184i
$107$	−4.06445			−0.392925			−0.196463	−	0.980511i	$-0.562945\pi$
$107$	−4.06445			−0.392925			−0.196463	+	0.980511i	$0.562945\pi$
$108$	−5.80729	+	8.61832i	−0.558806	+	0.829298i
$109$	5.86170	−	4.25878i	0.561449	−	0.407917i	−0.270540	−	0.962709i	$-0.587202\pi$
$109$	5.86170	−	4.25878i	0.561449	−	0.407917i	0.831989	+	0.554792i	$0.187202\pi$
$110$	11.1490	+	0.264789i	1.06302	+	0.0252466i
$111$	−0.899135	+	6.29029i	−0.0853421	+	0.597048i
$112$	4.32609	+	14.2729i	0.408777	+	1.34866i
$113$	7.49495	+	10.3159i	0.705066	+	0.970439i	0.999889	+	0.0148878i	$0.00473911\pi$
$113$	7.49495	+	10.3159i	0.705066	+	0.970439i	−0.294824	+	0.955552i	$0.595261\pi$
$114$	−1.74094	+	7.58962i	−0.163054	+	0.710833i
$115$	1.75882	+	2.13939i	0.164011	+	0.199499i
$116$	−2.55098	−	5.13195i	−0.236853	−	0.476490i
$117$	6.00042	+	7.75510i	0.554739	+	0.716959i
$118$	−0.368348	+	4.40081i	−0.0339092	+	0.405127i
$119$	−2.29023	+	7.04861i	−0.209945	+	0.646145i
$120$	10.9526	+	0.203472i	0.999827	+	0.0185744i
$121$	0.444067	+	1.36670i	0.0403697	+	0.124245i
$122$	−13.0328	+	3.06054i	−1.17994	+	0.277088i
$123$	20.9706	+	2.99754i	1.89086	+	0.270279i
$124$	3.23430	−	19.1854i	0.290448	−	1.72290i
$125$	8.07924	+	7.72825i	0.722629	+	0.691236i
$126$	9.96668	−	12.2841i	0.887902	−	1.09436i
$127$	−1.49096	+	2.05213i	−0.132301	+	0.182097i	−0.870028	−	0.493003i	$-0.835899\pi$
$127$	−1.49096	+	2.05213i	−0.132301	+	0.182097i	0.737727	+	0.675099i	$0.235899\pi$
$128$	−10.9027	−	3.02185i	−0.963670	−	0.267096i
$129$	6.31889	+	6.13087i	0.556347	+	0.539793i
$130$	3.42645	−	9.75136i	0.300519	−	0.855251i
$131$	−4.39825	+	13.5364i	−0.384277	+	1.18268i	0.552727	+	0.833362i	$0.313587\pi$
$131$	−4.39825	+	13.5364i	−0.384277	+	1.18268i	−0.937004	+	0.349320i	$0.886413\pi$
$132$	3.83514	+	11.5990i	0.333806	+	1.00956i
$133$	3.66268	−	11.2726i	0.317595	−	0.977456i
$134$	17.5222	−	10.6183i	1.51369	−	0.917280i
$135$	−6.33149	−	9.74229i	−0.544927	−	0.838483i
$136$	−3.58723	−	4.32906i	−0.307602	−	0.371214i
$137$	−2.86731	−	3.94651i	−0.244971	−	0.337173i	0.668771	−	0.743468i	$-0.266821\pi$
$137$	−2.86731	−	3.94651i	−0.244971	−	0.337173i	−0.913742	+	0.406295i	$0.866821\pi$
$138$	−1.55891	+	2.60276i	−0.132703	+	0.221561i
$139$	−10.2971	+	14.1727i	−0.873386	+	1.20211i	0.104823	+	0.994491i	$0.466572\pi$
$139$	−10.2971	+	14.1727i	−0.873386	+	1.20211i	−0.978209	+	0.207622i	$0.933428\pi$
$140$	−16.5787	−	1.78493i	−1.40115	−	0.150854i
$141$	−3.13670	−	1.53901i	−0.264158	−	0.129608i
$142$	6.94844	+	2.91864i	0.583100	+	0.244927i
$143$	11.5267			0.963909
$144$	3.82601	+	11.3737i	0.318834	+	0.947810i
$145$	6.39602	−	0.382681i	0.531161	−	0.0317800i
$146$	9.57736	−	2.24908i	0.792628	−	0.186135i
$147$	−8.32446	+	8.57976i	−0.686590	+	0.707646i
$148$	5.13643	+	5.23947i	0.422212	+	0.430682i
$149$			0.975207i			0.0798921i	0.999202	+	0.0399460i	$0.0127186\pi$
$149$			0.975207i			0.0798921i	−0.999202	+	0.0399460i	$0.987281\pi$
$150$	−4.99540	+	11.1824i	−0.407873	+	0.913039i
$151$		−	17.7976i		−	1.44835i	−0.689618	−	0.724173i	$-0.742222\pi$
$151$		−	17.7976i		−	1.44835i	0.689618	−	0.724173i	$-0.257778\pi$
$152$	5.73691	+	6.92330i	0.465325	+	0.561553i
$153$	−1.67063	+	5.72442i	−0.135063	+	0.462792i
$154$	−4.25122	−	18.1031i	−0.342573	−	1.45879i
$155$	18.3304	+	11.7120i	1.47234	+	0.940729i
$156$	11.3222	−	0.0585373i	0.906501	−	0.00468673i
$157$	−4.81242			−0.384073			−0.192036	−	0.981388i	$-0.561509\pi$
$157$	−4.81242			−0.384073			−0.192036	+	0.981388i	$0.561509\pi$
$158$	5.52874	−	13.1623i	0.439843	−	1.04714i
$159$	3.22415	−	6.57122i	0.255692	−	0.521132i
$160$	7.87401	−	9.89950i	0.622495	−	0.782624i
$161$	2.71444	−	3.73611i	0.213928	−	0.294447i
$162$	7.71713	−	10.1216i	0.606315	−	0.795224i
$163$	−5.99998	−	8.25827i	−0.469955	−	0.646837i	0.506581	−	0.862192i	$-0.330909\pi$
$163$	−5.99998	−	8.25827i	−0.469955	−	0.646837i	−0.976536	+	0.215355i	$0.930909\pi$
$164$	17.4674	−	17.1239i	1.36397	−	1.33715i
$165$	−13.6124	−	1.12172i	−1.05972	−	0.0873257i
$166$	−11.0366	−	18.2126i	−0.856610	−	1.41357i
$167$	−0.965785	+	2.97238i	−0.0747347	+	0.230010i	−0.981445	−	0.191745i	$-0.938585\pi$
$167$	−0.965785	+	2.97238i	−0.0747347	+	0.230010i	0.906710	+	0.421754i	$0.138585\pi$
$168$	−4.26774	−	17.7604i	−0.329263	−	1.37025i
$169$	−0.716006	+	2.20364i	−0.0550774	+	0.169511i
$170$	6.02258	−	1.79993i	0.461911	−	0.138048i
$171$	2.67178	−	9.15485i	0.204316	−	0.700089i
$172$	10.0565	−	1.49057i	0.766799	−	0.113655i
$173$	−4.83491	+	6.65468i	−0.367591	+	0.505946i	−0.952244	−	0.305338i	$-0.901231\pi$
$173$	−4.83491	+	6.65468i	−0.367591	+	0.505946i	0.584653	+	0.811283i	$0.301231\pi$
$174$	2.75165	+	6.45717i	0.208602	+	0.489517i
$175$	9.08136	−	16.2812i	0.686486	−	1.23074i
$176$	13.3268	+	4.62474i	1.00455	+	0.348603i
$177$	0.765343	−	5.35429i	0.0575267	−	0.402453i
$178$	1.02706	+	4.37358i	0.0769815	+	0.327814i
$179$	−2.04563	−	6.29581i	−0.152898	−	0.470571i	0.845044	−	0.534697i	$-0.179574\pi$
$179$	−2.04563	−	6.29581i	−0.152898	−	0.470571i	−0.997942	+	0.0641256i	$0.979574\pi$
$180$	−13.3766	−	1.03269i	−0.997033	−	0.0769722i
$181$	3.15883	−	9.72189i	0.234794	−	0.722623i	−0.762354	−	0.647160i	$-0.775957\pi$
$181$	3.15883	−	9.72189i	0.234794	−	0.722623i	0.997149	−	0.0754627i	$-0.0240434\pi$
$182$	−17.1744	−	1.43750i	−1.27305	−	0.106555i
$183$	16.1537	−	2.80917i	1.19411	−	0.207660i
$184$	1.29227	+	3.25618i	0.0952675	+	0.240049i
$185$	−7.63645	+	2.99638i	−0.561443	+	0.220298i
$186$	−5.32759	+	23.2256i	−0.390638	+	1.70298i
$187$	4.12038	+	5.67121i	0.301312	+	0.414720i
$188$	−3.61271	+	1.79580i	−0.263484	+	0.130972i
$189$	−13.0650	+	14.3058i	−0.950339	+	1.04060i
$190$	−9.63168	+	2.87856i	−0.698755	+	0.208832i
$191$	6.72260	−	4.88425i	0.486430	−	0.353412i	−0.317380	−	0.948299i	$-0.602803\pi$
$191$	6.72260	−	4.88425i	0.486430	−	0.353412i	0.803810	+	0.594886i	$0.202803\pi$
$192$	13.1139	+	4.47501i	0.946414	+	0.322956i
$193$	−22.5549			−1.62354			−0.811768	−	0.583981i	$-0.801494\pi$
$193$	−22.5549			−1.62354			−0.811768	+	0.583981i	$0.801494\pi$
$194$	−3.18158	−	1.33640i	−0.228424	−	0.0959479i
$195$	−4.88729	+	11.6773i	−0.349986	+	0.836227i
$196$	2.02389	+	13.6546i	0.144563	+	0.975331i
$197$	14.3446	−	4.66083i	1.02201	−	0.332070i	0.250382	−	0.968147i	$-0.419444\pi$
$197$	14.3446	−	4.66083i	1.02201	−	0.332070i	0.771626	+	0.636077i	$0.219444\pi$
$198$	−3.85886	−	14.4560i	−0.274238	−	1.02734i
$199$		−	2.42902i		−	0.172189i	−0.996287	−	0.0860944i	$-0.972561\pi$
$199$		−	2.42902i		−	0.172189i	0.996287	−	0.0860944i	$-0.0274387\pi$
$200$	6.74684	+	12.4290i	0.477074	+	0.878863i
$201$	−22.1835	+	11.7283i	−1.56470	+	0.827253i
$202$	11.6329	+	10.0358i	0.818491	+	0.706117i
$203$	−3.30157	−	10.1612i	−0.231725	−	0.713176i
$204$	4.07608	+	5.54968i	0.285383	+	0.388555i
$205$	9.98936	+	25.4585i	0.697687	+	1.77810i
$206$	−6.80301	+	16.1960i	−0.473988	+	1.12843i
$207$	2.09229	−	3.07069i	0.145424	−	0.213428i
$208$	7.89321	−	10.4223i	0.547296	−	0.722657i
$209$	−6.58956	−	9.06975i	−0.455809	−	0.627368i
$210$	20.1422	+	3.36894i	1.38994	+	0.232479i
$211$	−12.6279	+	17.3808i	−0.869338	+	1.19654i	0.109923	+	0.993940i	$0.464939\pi$
$211$	−12.6279	+	17.3808i	−0.869338	+	1.19654i	−0.979261	+	0.202601i	$0.935061\pi$
$212$	−3.76211	−	7.56844i	−0.258383	−	0.519803i
$213$	−8.28662	−	4.06581i	−0.567790	−	0.278585i
$214$	3.75469	−	4.35222i	0.256665	−	0.297512i
$215$	−2.86049	+	11.0005i	−0.195084	+	0.750227i
$216$	−3.86382	−	14.1799i	−0.262900	−	0.964823i
$217$	11.2084	−	34.4961i	0.760879	−	2.34174i
$218$	−0.854655	+	10.2109i	−0.0578845	+	0.691571i
$219$	−11.8707	+	2.06436i	−0.802151	+	0.139496i
$220$	−10.5828	+	11.6938i	−0.713495	+	0.788394i
$221$	6.17891	−	2.00765i	0.415639	−	0.135049i
$222$	−5.90505	−	6.77368i	−0.396321	−	0.454620i
$223$	7.58971	−	10.4463i	0.508245	−	0.699539i	−0.475377	−	0.879782i	$-0.657688\pi$
$223$	7.58971	−	10.4463i	0.508245	−	0.699539i	0.983622	+	0.180243i	$0.0576885\pi$
$224$	−19.2798	−	8.55272i	−1.28819	−	0.571453i
$225$	6.90800	−	13.3146i	0.460534	−	0.887642i
$226$	−17.9700	−	1.50409i	−1.19535	−	0.100051i
$227$	−16.2638	−	11.8164i	−1.07947	−	0.784280i	−0.101878	−	0.994797i	$-0.532485\pi$
$227$	−16.2638	−	11.8164i	−1.07947	−	0.784280i	−0.977590	+	0.210517i	$0.932485\pi$
$228$	−6.51872	−	8.87539i	−0.431713	−	0.587787i
$229$	6.62251	+	20.3820i	0.437628	+	1.34688i	0.890370	+	0.455238i	$0.150446\pi$
$229$	6.62251	+	20.3820i	0.437628	+	1.34688i	−0.452742	+	0.891641i	$0.649554\pi$
$230$	−3.91564	−	0.0929963i	−0.258190	−	0.00613200i
$231$	3.90205	+	22.4381i	0.256736	+	1.47632i
$232$	7.85187	+	2.00923i	0.515501	+	0.131912i
$233$	12.6284	+	4.10322i	0.827315	+	0.268811i	0.691914	−	0.721980i	$-0.256768\pi$
$233$	12.6284	+	4.10322i	0.827315	+	0.268811i	0.135401	+	0.990791i	$0.456768\pi$
$234$	−13.8473	−	0.738800i	−0.905226	−	0.0482969i
$235$	−0.269394	−	4.50257i	−0.0175733	−	0.293715i
$236$	−4.37212	−	4.45984i	−0.284601	−	0.290311i
$237$	−7.70179	+	15.6972i	−0.500285	+	1.01964i
$238$	−5.43198	−	8.96380i	−0.352103	−	0.581037i
$239$	−14.7591	−	10.7231i	−0.954690	−	0.693623i	−0.00277843	−	0.999996i	$-0.500884\pi$
$239$	−14.7591	−	10.7231i	−0.954690	−	0.693623i	−0.951911	+	0.306373i	$0.900884\pi$
$240$	−10.3357	+	11.5401i	−0.667167	+	0.744908i
$241$	2.25312	−	1.63699i	0.145136	−	0.105448i	−0.512848	−	0.858480i	$-0.671409\pi$
$241$	2.25312	−	1.63699i	0.145136	−	0.105448i	0.657984	+	0.753032i	$0.271409\pi$
$242$	−1.87369	−	0.787029i	−0.120445	−	0.0505921i
$243$	−10.1598	+	11.8228i	−0.651752	+	0.758432i
$244$	8.76233	−	16.7829i	0.560950	−	1.07441i
$245$	−14.9364	−	3.88397i	−0.954252	−	0.248137i
$246$	−22.5822	+	19.6863i	−1.43979	+	1.25515i
$247$	−9.88170	+	3.21076i	−0.628757	+	0.204296i
$248$	17.5560	+	21.1865i	1.11481	+	1.34534i
$249$	12.1904	+	23.0575i	0.772537	+	1.46121i
$250$	−15.7389	+	1.51201i	−0.995417	+	0.0956279i
$251$	−11.1014			−0.700715			−0.350358	−	0.936616i	$-0.613940\pi$
$251$	−11.1014			−0.700715			−0.350358	+	0.936616i	$0.613940\pi$
$252$	3.94678	+	22.0203i	0.248624	+	1.38715i
$253$	−1.34979	−	4.15422i	−0.0848605	−	0.261174i
$254$	−0.820096	−	3.49225i	−0.0514574	−	0.219123i
$255$	−7.49234	+	1.76963i	−0.469189	+	0.110818i
$256$	13.3076	−	8.88307i	0.831722	−	0.555192i
$257$		−	20.4641i		−	1.27652i	−0.769823	−	0.638258i	$-0.779655\pi$
$257$		−	20.4641i		−	1.27652i	0.769823	−	0.638258i	$-0.220345\pi$
$258$	−12.4022	+	1.10267i	−0.772130	+	0.0686491i
$259$	8.04004	+	11.0662i	0.499584	+	0.687618i
$260$	7.27648	+	12.6772i	0.451268	+	0.786208i
$261$	−2.90215	−	8.09182i	−0.179638	−	0.500871i
$262$	−10.4318	−	17.2144i	−0.644478	−	1.06351i
$263$	5.35509	−	3.89070i	0.330209	−	0.239911i	−0.410310	−	0.911946i	$-0.634580\pi$
$263$	5.35509	−	3.89070i	0.330209	−	0.239911i	0.740519	+	0.672035i	$0.234580\pi$
$264$	−15.9631	−	6.60829i	−0.982458	−	0.406712i
$265$	9.43266	−	0.564366i	0.579443	−	0.0346688i
$266$	8.68716	+	14.3355i	0.532644	+	0.878963i
$267$	−0.942706	−	5.42088i	−0.0576927	−	0.331752i
$268$	−4.81667	+	28.5718i	−0.294225	+	1.74530i
$269$	−10.0302	−	3.25901i	−0.611553	−	0.198706i	−0.0131667	−	0.999913i	$-0.504191\pi$
$269$	−10.0302	−	3.25901i	−0.611553	−	0.198706i	−0.598386	+	0.801208i	$0.704191\pi$
$270$	16.2810	+	2.22003i	0.990831	+	0.135107i
$271$	−13.0599	+	4.24343i	−0.793335	+	0.257770i	−0.677523	−	0.735501i	$-0.736947\pi$
$271$	−13.0599	+	4.24343i	−0.793335	+	0.257770i	−0.115811	+	0.993271i	$0.536947\pi$
$272$	7.94940	+	0.157915i	0.482003	+	0.00957499i
$273$	20.8954	+	2.98680i	1.26465	+	0.180769i
$274$	6.87472	+	0.575414i	0.415317	+	0.0347621i
$275$	−7.40964	−	16.0007i	−0.446818	−	0.964880i
$276$	−1.34694	−	4.07367i	−0.0810763	−	0.245206i
$277$	−2.80357	−	2.03691i	−0.168450	−	0.122386i	0.500366	−	0.865814i	$-0.333199\pi$
$277$	−2.80357	−	2.03691i	−0.168450	−	0.122386i	−0.668816	+	0.743428i	$0.733199\pi$
$278$	−5.66387	−	24.1187i	−0.339696	−	1.44654i
$279$	8.17612	−	28.0155i	0.489491	−	1.67724i
$280$	17.2265	−	16.1036i	1.02948	−	0.962373i
$281$	11.6216	+	3.77609i	0.693286	+	0.225262i	0.634403	−	0.773003i	$-0.281246\pi$
$281$	11.6216	+	3.77609i	0.693286	+	0.225262i	0.0588833	+	0.998265i	$0.481246\pi$
$282$	4.54562	−	1.93706i	0.270688	−	0.115351i
$283$	18.0203	+	5.85515i	1.07120	+	0.348053i	0.790953	−	0.611876i	$-0.209585\pi$
$283$	18.0203	+	5.85515i	1.07120	+	0.348053i	0.280243	+	0.959929i	$0.409585\pi$
$284$	−9.54417	+	4.74420i	−0.566342	+	0.281517i
$285$	11.9822	−	2.83010i	0.709765	−	0.167640i
$286$	−10.6482	+	12.3428i	−0.629641	+	0.729845i
$287$	36.8925	−	26.8039i	2.17769	−	1.58219i
$288$	−15.7134	−	6.40999i	−0.925923	−	0.377712i
$289$	−10.5568	−	7.66994i	−0.620986	−	0.451173i
$290$	−5.49879	+	7.20239i	−0.322900	+	0.422939i
$291$	3.79431	+	1.86167i	0.222426	+	0.109133i
$292$	−6.43911	+	12.3331i	−0.376821	+	0.721742i
$293$			3.61826i			0.211381i	0.994399	+	0.105690i	$0.0337053\pi$
$293$			3.61826i			0.211381i	−0.994399	+	0.105690i	$0.966295\pi$
$294$	−1.49720	−	16.8397i	−0.0873183	−	0.982112i
$295$	6.50014	−	2.55052i	0.378453	−	0.148497i
$296$	−10.3554	+	0.659941i	−0.601896	+	0.0383583i
$297$	3.68338	+	17.9508i	0.213731	+	1.04161i
$298$	−1.04425	−	0.900883i	−0.0604920	−	0.0521868i
$299$	−4.04828			−0.234118
$300$	−7.35945	−	15.6792i	−0.424898	−	0.905241i
$301$	18.9527			1.09242
$302$	19.0577	+	16.4412i	1.09665	+	0.946083i
$303$	−13.5047	−	13.1029i	−0.775827	−	0.752742i
$304$	−12.7132	−	0.252547i	−0.729150	−	0.0144846i
$305$	13.4424	+	16.3511i	0.769708	+	0.936259i
$306$	−4.58642	−	7.07707i	−0.262188	−	0.404569i
$307$			9.93345i			0.566932i	0.958982	+	0.283466i	$0.0914843\pi$
$307$			9.93345i			0.566932i	−0.958982	+	0.283466i	$0.908516\pi$
$308$	23.3121	+	12.1712i	1.32833	+	0.693520i
$309$	9.47692	−	19.3151i	0.539123	−	1.09880i
$310$	−29.4746	+	8.80889i	−1.67405	+	0.500311i
$311$	15.5100	+	11.2687i	0.879494	+	0.638990i	0.933117	−	0.359572i	$-0.117077\pi$
$311$	15.5100	+	11.2687i	0.879494	+	0.638990i	−0.0536238	+	0.998561i	$0.517077\pi$
$312$	−10.3966	+	12.1779i	−0.588592	+	0.689438i
$313$	9.58416	−	6.96330i	0.541729	−	0.393589i	−0.282998	−	0.959120i	$-0.591329\pi$
$313$	9.58416	−	6.96330i	0.541729	−	0.393589i	0.824727	+	0.565532i	$0.191329\pi$
$314$	4.44565	−	5.15315i	0.250883	−	0.290809i
$315$	−24.3857	−	5.56069i	−1.37398	−	0.313309i
$316$	8.98686	+	18.0794i	0.505550	+	1.01704i
$317$	−17.6980	−	5.75042i	−0.994017	−	0.322976i	−0.233545	−	0.972346i	$-0.575033\pi$
$317$	−17.6980	−	5.75042i	−0.994017	−	0.322976i	−0.760472	+	0.649370i	$0.775033\pi$
$318$	4.05805	+	9.52284i	0.227564	+	0.534014i
$319$	−9.61093	−	3.12278i	−0.538109	−	0.174842i
$320$	3.32650	+	17.5765i	0.185957	+	0.982558i
$321$	−4.90218	+	5.05252i	−0.273613	+	0.282004i
$322$	1.49307	+	6.35800i	0.0832056	+	0.354318i
$323$	−5.11207	−	3.71414i	−0.284443	−	0.206660i
$324$	3.70920	+	17.6137i	0.206067	+	0.978538i
$325$	−16.2258	+	1.94859i	−0.900046	+	0.108088i
$326$	14.3857	+	1.20408i	0.796749	+	0.0666879i
$327$	1.77578	−	12.4232i	0.0982008	−	0.687007i
$328$	2.20012	+	34.5229i	0.121481	+	1.90621i
$329$	−7.15311	+	2.32419i	−0.394364	+	0.128137i
$330$	13.7761	−	13.5400i	0.758349	−	0.745350i
$331$	12.9742	+	4.21557i	0.713125	+	0.231709i	0.643040	−	0.765832i	$-0.277673\pi$
$331$	12.9742	+	4.21557i	0.713125	+	0.231709i	0.0700853	+	0.997541i	$0.477673\pi$
$332$	29.6976	+	5.00645i	1.62986	+	0.274764i
$333$	6.73500	+	8.70450i	0.369076	+	0.477004i
$334$	−2.29065	−	3.78001i	−0.125339	−	0.206833i
$335$	−27.2986	−	17.4421i	−1.49148	−	0.952961i
$336$	22.9604	+	11.8369i	1.25259	+	0.645757i
$337$	8.98416	−	6.52737i	0.489398	−	0.355569i	−0.315555	−	0.948907i	$-0.602191\pi$
$337$	8.98416	−	6.52737i	0.489398	−	0.355569i	0.804953	+	0.593339i	$0.202191\pi$
$338$	−1.69823	−	2.80239i	−0.0923713	−	0.152430i
$339$	21.8634	+	3.12516i	1.18746	+	0.169736i
$340$	−3.63621	+	8.11174i	−0.197201	+	0.439921i
$341$	−20.1652	−	27.7550i	−1.09201	−	1.50302i
$342$	7.33488	+	11.3181i	0.396625	+	0.612012i
$343$		−	0.365751i		−	0.0197487i
$344$	−7.69393	+	12.1455i	−0.414829	+	0.654840i
$345$	4.78081	+	0.393959i	0.257390	+	0.0212100i
$346$	−2.65942	−	11.3247i	−0.142971	−	0.608821i
$347$	9.64726	+	29.6912i	0.517892	+	1.59391i	0.777957	+	0.628317i	$0.216256\pi$
$347$	9.64726	+	29.6912i	0.517892	+	1.59391i	−0.260065	+	0.965591i	$0.583744\pi$
$348$	−9.45630	−	3.01858i	−0.506911	−	0.161813i
$349$	−29.9971			−1.60571			−0.802854	−	0.596176i	$-0.796686\pi$
$349$	−29.9971			−1.60571			−0.802854	+	0.596176i	$0.796686\pi$
$350$	9.04468	+	24.7647i	0.483459	+	1.32373i
$351$	16.8775	+	1.89440i	0.900856	+	0.101115i
$352$	−17.2633	+	9.99813i	−0.920138	+	0.532902i
$353$	−11.6343	+	3.78021i	−0.619231	+	0.201200i	−0.601799	−	0.798648i	$-0.705549\pi$
$353$	−11.6343	+	3.78021i	−0.619231	+	0.201200i	−0.0174322	+	0.999848i	$0.505549\pi$
$354$	5.02638	+	5.76576i	0.267149	+	0.306446i
$355$	−0.711693	−	11.8950i	−0.0377728	−	0.631323i
$356$	−5.63203	−	2.94048i	−0.298497	−	0.155845i
$357$	5.99985	+	11.3484i	0.317546	+	0.600620i
$358$	8.63130	+	3.62552i	0.456179	+	0.191615i
$359$	−18.1287	+	13.1713i	−0.956796	+	0.695153i	−0.952404	−	0.304837i	$-0.901398\pi$
$359$	−18.1287	+	13.1713i	−0.956796	+	0.695153i	−0.00439181	+	0.999990i	$0.501398\pi$
$360$	13.4629	−	13.3697i	0.709559	−	0.704646i
$361$	−7.19578	−	5.22804i	−0.378725	−	0.275160i
$362$	7.49214	+	12.3634i	0.393778	+	0.649808i
$363$	2.23453	+	1.09637i	0.117283	+	0.0575444i
$364$	17.4048	−	17.0625i	0.912258	−	0.894316i
$365$	−9.87831	−	12.0158i	−0.517055	−	0.628935i
$366$	−11.9145	+	19.8925i	−0.622780	+	1.03980i
$367$	3.66107	+	1.18955i	0.191106	+	0.0620941i	0.403006	−	0.915197i	$-0.367965\pi$
$367$	3.66107	+	1.18955i	0.191106	+	0.0620941i	−0.211900	+	0.977291i	$0.567965\pi$
$368$	−4.68051	−	1.62425i	−0.243989	−	0.0846700i
$369$	29.0191	−	22.4532i	1.51068	−	1.16887i
$370$	3.84592	−	10.9451i	0.199940	−	0.569011i
$371$	−4.86905	−	14.9854i	−0.252789	−	0.778003i
$372$	−19.9484	−	27.1603i	−1.03428	−	1.40819i
$373$	−2.92021	−	2.12166i	−0.151203	−	0.109855i	0.509612	−	0.860405i	$-0.329789\pi$
$373$	−2.92021	−	2.12166i	−0.151203	−	0.109855i	−0.660815	+	0.750549i	$0.729789\pi$
$374$	−9.87910	−	0.826881i	−0.510836	−	0.0427570i
$375$	19.3514	−	0.722170i	0.999304	−	0.0372927i
$376$	1.41443	−	5.52744i	0.0729435	−	0.285056i
$377$	−5.50510	+	7.57712i	−0.283527	+	0.390242i
$378$	−3.24947	−	27.2056i	−0.167135	−	1.39930i
$379$	18.4435	−	5.99265i	0.947377	−	0.307822i	0.205728	−	0.978609i	$-0.434044\pi$
$379$	18.4435	−	5.99265i	0.947377	−	0.307822i	0.741649	+	0.670788i	$0.234044\pi$
$380$	5.81525	−	12.9728i	0.298316	−	0.665490i
$381$	0.752738	+	4.32850i	0.0385640	+	0.221756i
$382$	−0.980177	+	11.7106i	−0.0501502	+	0.599166i
$383$	2.00882	−	6.18251i	0.102646	−	0.315912i	−0.886525	−	0.462681i	$-0.846888\pi$
$383$	2.00882	−	6.18251i	0.102646	−	0.315912i	0.989171	+	0.146769i	$0.0468875\pi$
$384$	−16.9063	+	9.90843i	−0.862746	+	0.505638i
$385$	−22.7123	+	18.6720i	−1.15753	+	0.951614i
$386$	20.8359	−	24.1518i	1.06052	−	1.22929i
$387$	15.2426	−	0.460504i	0.774823	−	0.0234087i
$388$	4.37012	−	2.17229i	0.221859	−	0.110281i
$389$	15.1483	−	20.8499i	0.768050	−	1.05713i	−0.228452	−	0.973555i	$-0.573366\pi$
$389$	15.1483	−	20.8499i	0.768050	−	1.05713i	0.996502	−	0.0835748i	$-0.0266337\pi$
$390$	−7.98924	−	16.0206i	−0.404551	−	0.811236i
$391$	−1.44712	−	1.99179i	−0.0731839	−	0.100729i
$392$	−16.4911	−	10.4468i	−0.832924	−	0.527642i
$393$	11.5223	+	21.7939i	0.581225	+	1.09936i
$394$	−8.26049	+	19.6658i	−0.416157	+	0.990749i
$395$	−22.5325	+	1.34815i	−1.13374	+	0.0678327i
$396$	19.0443	+	9.22217i	0.957011	+	0.463432i
$397$	0.244560	+	0.752678i	0.0122741	+	0.0377758i	0.957006	−	0.290068i	$-0.0936780\pi$
$397$	0.244560	+	0.752678i	0.0122741	+	0.0377758i	−0.944732	+	0.327844i	$0.893678\pi$
$398$	2.60100	+	2.24390i	0.130377	+	0.112477i
$399$	−9.59533	−	18.1490i	−0.480367	−	0.908589i
$400$	−19.5417	−	4.25721i	−0.977083	−	0.212861i
$401$		−	0.428760i		−	0.0214112i	−0.999943	−	0.0107056i	$-0.996592\pi$
$401$		−	0.428760i		−	0.0214112i	0.999943	−	0.0107056i	$-0.00340777\pi$
$402$	7.93410	−	34.5886i	0.395717	−	1.72512i
$403$	−30.2397	+	9.82549i	−1.50635	+	0.489442i
$404$	−21.4927	+	3.18565i	−1.06930	+	0.158492i
$405$	−19.7471	−	3.87962i	−0.981242	−	0.192780i
$406$	13.9306	+	5.85144i	0.691363	+	0.290402i
$407$	12.9378			0.641303
$408$	−9.70804	−	0.762042i	−0.480620	−	0.0377267i
$409$	−1.76803	+	1.28455i	−0.0874236	+	0.0635169i	−0.630638	−	0.776077i	$-0.717207\pi$
$409$	−1.76803	+	1.28455i	−0.0874236	+	0.0635169i	0.543215	+	0.839594i	$0.317207\pi$
$410$	−36.4890	−	12.8216i	−1.80206	−	0.633212i
$411$	−8.36420	−	1.19558i	−0.412576	−	0.0589736i
$412$	−11.0582	−	22.2463i	−0.544797	−	1.09600i
$413$	−6.84367	−	9.41951i	−0.336755	−	0.463504i
$414$	1.35527	+	5.07709i	0.0666080	+	0.249525i
$415$	−18.1293	+	28.3741i	−0.889931	+	1.39283i
$416$	3.86859	+	18.0801i	0.189673	+	0.886448i
$417$	5.19867	+	29.8941i	0.254580	+	1.46392i
$418$	15.7993	+	1.32240i	0.772767	+	0.0646807i
$419$	9.76274	−	30.0466i	0.476941	−	1.46787i	−0.366381	−	0.930465i	$-0.619403\pi$
$419$	9.76274	−	30.0466i	0.476941	−	1.46787i	0.843322	−	0.537409i	$-0.180597\pi$
$420$	−22.2145	+	18.4561i	−1.08396	+	0.900566i
$421$	9.48522	+	29.1925i	0.462281	+	1.42276i	0.862370	+	0.506279i	$0.168980\pi$
$421$	9.48522	+	29.1925i	0.462281	+	1.42276i	−0.400088	+	0.916477i	$0.631020\pi$
$422$	−6.94591	−	29.5781i	−0.338122	−	1.43984i
$423$	−5.69635	+	2.04301i	−0.276966	+	0.0993345i
$424$	11.5797	+	2.96315i	0.562360	+	0.143903i
$425$	−6.75887	−	7.28667i	−0.327854	−	0.353455i
$426$	12.0088	−	5.11740i	0.581826	−	0.247939i
$427$	20.7461	−	28.5545i	1.00397	−	1.38185i
$428$	1.19184	+	8.04105i	0.0576099	+	0.388679i
$429$	13.9024	−	14.3288i	0.671216	−	0.691801i
$430$	−9.13686	−	13.2251i	−0.440618	−	0.637772i
$431$	−7.88093	+	24.2550i	−0.379611	+	1.16832i	0.560703	+	0.828017i	$0.310531\pi$
$431$	−7.88093	+	24.2550i	−0.379611	+	1.16832i	−0.940315	+	0.340306i	$0.889469\pi$
$432$	18.7533	+	8.96186i	0.902267	+	0.431178i
$433$	0.154154	−	0.474436i	0.00740816	−	0.0228000i	−0.947284	−	0.320395i	$-0.896184\pi$
$433$	0.154154	−	0.474436i	0.00740816	−	0.0228000i	0.954692	+	0.297595i	$0.0961844\pi$
$434$	26.5842	+	43.8690i	1.27608	+	2.10578i
$435$	7.23860	−	8.41245i	0.347064	−	0.403346i
$436$	−10.1444	−	10.3479i	−0.485827	−	0.495574i
$437$	2.31432	+	3.18539i	0.110709	+	0.152378i
$438$	8.75552	−	14.6183i	0.418355	−	0.698487i
$439$	22.1168	−	30.4412i	1.05558	−	1.45288i	0.171705	−	0.985148i	$-0.445072\pi$
$439$	22.1168	−	30.4412i	1.05558	−	1.45288i	0.883872	−	0.467729i	$-0.154928\pi$
$440$	−2.74543	−	22.1347i	−0.130883	−	1.05523i
$441$	0.625270	+	20.6963i	0.0297748	+	0.985537i
$442$	−3.55820	+	8.47103i	−0.169246	+	0.402926i
$443$	0.491915			0.0233716			0.0116858	−	0.999932i	$-0.496280\pi$
$443$	0.491915			0.0233716			0.0116858	+	0.999932i	$0.496280\pi$
$444$	12.7083	−	0.0657036i	0.603109	−	0.00311815i
$445$	5.48711	−	4.51101i	0.260114	−	0.213843i
$446$	4.17469	+	17.7773i	0.197677	+	0.841778i
$447$	1.21228	+	1.17621i	0.0573389	+	0.0556327i
$448$	26.9687	−	12.7440i	1.27415	−	0.602098i
$449$		−	10.9779i		−	0.518081i	−0.965866	−	0.259040i	$-0.916594\pi$
$449$		−	10.9779i		−	0.518081i	0.965866	−	0.259040i	$-0.0834063\pi$
$450$	7.87582	+	19.6970i	0.371270	+	0.928525i
$451$		−	43.1322i		−	2.03101i
$452$	18.2111	−	17.8529i	0.856577	−	0.839730i
$453$	−22.1242	−	21.4659i	−1.03948	−	1.00855i
$454$	27.6773	−	6.49955i	1.29896	−	0.305039i
$455$	9.95355	+	25.3672i	0.466629	+	1.18923i
$456$	15.5257	+	1.21870i	0.727058	+	0.0570711i
$457$	11.4440			0.535328			0.267664	−	0.963512i	$-0.413748\pi$
$457$	11.4440			0.535328			0.267664	+	0.963512i	$0.413748\pi$
$458$	−27.9429	−	11.7372i	−1.30568	−	0.548444i
$459$	5.10106	+	8.98105i	0.238097	+	0.419200i
$460$	3.71680	−	4.10697i	0.173297	−	0.191488i
$461$	−20.3963	+	28.0731i	−0.949950	+	1.30749i	0.00160016	+	0.999999i	$0.499491\pi$
$461$	−20.3963	+	28.0731i	−0.949950	+	1.30749i	−0.951550	+	0.307495i	$0.900509\pi$
$462$	−27.6315	−	16.5497i	−1.28553	−	0.769962i
$463$	1.65458	+	2.27734i	0.0768950	+	0.105837i	0.845732	−	0.533608i	$-0.179164\pi$
$463$	1.65458	+	2.27734i	0.0768950	+	0.105837i	−0.768837	+	0.639445i	$0.779164\pi$
$464$	−9.40494	+	6.55170i	−0.436614	+	0.304155i
$465$	36.6677	−	8.66060i	1.70042	−	0.401626i
$466$	−16.0597	+	9.73203i	−0.743951	+	0.450828i
$467$	−12.0315	+	37.0291i	−0.556751	+	1.71350i	0.134524	+	0.990910i	$0.457049\pi$
$467$	−12.0315	+	37.0291i	−0.556751	+	1.71350i	−0.691275	+	0.722592i	$0.742951\pi$
$468$	13.5831	−	14.1452i	0.627877	−	0.653863i
$469$	−16.6922	+	51.3732i	−0.770772	+	2.37219i
$470$	5.07023	+	3.87095i	0.233872	+	0.178554i
$471$	−5.80431	+	5.98232i	−0.267449	+	0.275651i
$472$	8.81451	−	0.561741i	0.405721	−	0.0258562i
$473$	10.5369	−	14.5028i	0.484486	−	0.666838i
$474$	−9.69379	−	22.7480i	−0.445251	−	1.04485i
$475$	10.8092	+	11.6533i	0.495960	+	0.534690i
$476$	14.6165	+	2.46406i	0.669944	+	0.112940i
$477$	−4.28000	−	11.9336i	−0.195968	−	0.546400i
$478$	25.1167	−	5.89823i	1.14881	−	0.269779i
$479$	7.46967	+	22.9893i	0.341298	+	1.05041i	0.963536	+	0.267579i	$0.0862236\pi$
$479$	7.46967	+	22.9893i	0.341298	+	1.05041i	−0.622238	+	0.782828i	$0.713776\pi$
$480$	−2.80914	−	21.7281i	−0.128219	−	0.991746i
$481$	3.70536	−	11.4039i	0.168950	−	0.519974i
$482$	−0.328512	+	3.92487i	−0.0149633	+	0.178773i
$483$	−1.37044	−	7.88049i	−0.0623572	−	0.358575i
$484$	2.57364	−	1.27930i	0.116984	−	0.0581500i
$485$	0.325873	+	5.44654i	0.0147971	+	0.247315i
$486$	−3.27438	−	21.8009i	−0.148529	−	0.988908i
$487$	13.4284	+	18.4826i	0.608499	+	0.837527i	0.996453	−	0.0841514i	$-0.0268179\pi$
$487$	13.4284	+	18.4826i	0.608499	+	0.837527i	−0.387954	+	0.921679i	$0.626818\pi$
$488$	9.87663	+	24.8865i	0.447094	+	1.12656i
$489$	−17.5025	−	2.50181i	−0.791490	−	0.113136i
$490$	17.9570	−	12.4060i	0.811215	−	0.560445i
$491$	7.17720	−	5.21454i	0.323903	−	0.235329i	−0.413936	−	0.910306i	$-0.635846\pi$
$491$	7.17720	−	5.21454i	0.323903	−	0.235329i	0.737839	+	0.674977i	$0.235846\pi$
$492$	−0.219043	−	42.3670i	−0.00987522	−	1.91005i
$493$	−5.69588			−0.256530
$494$	5.69049	−	13.5474i	0.256027	−	0.609526i
$495$	−17.8125	+	15.5686i	−0.800611	+	0.699758i
$496$	−38.9045	−	0.772838i	−1.74687	−	0.0347015i
$497$	−18.8973	+	6.14011i	−0.847660	+	0.275422i
$498$	−35.9514	−	8.24670i	−1.61102	−	0.369544i
$499$			7.10021i			0.317849i	0.987291	+	0.158925i	$0.0508027\pi$
$499$			7.10021i			0.317849i	−0.987291	+	0.158925i	$0.949197\pi$
$500$	12.9203	−	18.2501i	0.577816	−	0.816167i
$501$	2.53012	+	4.78558i	0.113037	+	0.213804i
$502$	10.2553	−	11.8874i	0.457718	−	0.530562i
$503$	−3.16395	−	9.73764i	−0.141074	−	0.434180i	0.855412	−	0.517949i	$-0.173304\pi$
$503$	−3.16395	−	9.73764i	−0.141074	−	0.434180i	−0.996485	+	0.0837689i	$0.973304\pi$
$504$	−27.2253	−	16.1158i	−1.21271	−	0.717855i
$505$	6.11345	−	23.5103i	0.272045	−	1.04619i
$506$	5.69527	+	2.39226i	0.253186	+	0.106349i
$507$	1.87576	+	3.54790i	0.0833055	+	0.157568i
$508$	4.49710	+	2.34793i	0.199527	+	0.104173i
$509$	18.1736	+	25.0138i	0.805531	+	1.10872i	0.991998	+	0.126257i	$0.0402965\pi$
$509$	18.1736	+	25.0138i	0.805531	+	1.10872i	−0.186466	+	0.982461i	$0.559703\pi$
$510$	5.02640	−	9.65758i	0.222573	−	0.427645i
$511$	−15.2455	+	20.9837i	−0.674423	+	0.928264i
$512$	−2.78133	+	22.4558i	−0.122919	+	0.992417i
$513$	−8.15793	−	14.3631i	−0.360181	−	0.634144i
$514$	21.9130	+	18.9045i	0.966542	+	0.833840i
$515$	27.7259	−	1.65887i	1.22175	−	0.0730986i
$516$	10.2763	−	14.2990i	0.452389	−	0.629478i
$517$	−2.19833	+	6.76576i	−0.0966823	+	0.297558i
$518$	−19.2770	−	1.61348i	−0.846981	−	0.0708923i
$519$	2.44100	+	14.0365i	0.107148	+	0.616136i
$520$	−20.2967	−	3.91938i	−0.890070	−	0.171876i
$521$	10.0963	−	3.28050i	0.442329	−	0.143721i	−0.0793809	−	0.996844i	$-0.525294\pi$
$521$	10.0963	−	3.28050i	0.442329	−	0.143721i	0.521710	+	0.853123i	$0.325294\pi$
$522$	11.3457	+	4.36749i	0.496588	+	0.191160i
$523$	−8.14789	+	11.2146i	−0.356282	+	0.490381i	−0.949108	−	0.314950i	$-0.898012\pi$
$523$	−8.14789	+	11.2146i	−0.356282	+	0.490381i	0.592826	+	0.805331i	$0.298012\pi$
$524$	28.0700	+	4.73207i	1.22624	+	0.206721i
$525$	−9.28600	−	30.9259i	−0.405274	−	1.34972i
$526$	−0.780789	+	9.32842i	−0.0340440	+	0.406738i
$527$	−15.6438	−	11.3659i	−0.681457	−	0.495107i
$528$	21.8226	−	10.9886i	0.949708	−	0.478219i
$529$	−6.63333	−	20.4153i	−0.288406	−	0.887622i
$530$	−8.10944	+	10.6219i	−0.352251	+	0.461384i
$531$	−5.73283	−	7.40927i	−0.248784	−	0.321535i
$532$	−23.3755	−	3.94067i	−1.01346	−	0.170850i
$533$	−38.0185	−	12.3530i	−1.64676	−	0.535066i
$534$	6.67555	+	3.99828i	0.288879	+	0.173023i
$535$	−8.79588	−	2.28722i	−0.380279	−	0.0988852i
$536$	−26.1452	−	31.5520i	−1.12930	−	1.36284i
$537$	−10.2936	−	5.05052i	−0.444201	−	0.217946i
$538$	12.7555	−	7.72975i	0.549930	−	0.333253i
$539$	19.6918	+	14.3069i	0.848185	+	0.616242i
$540$	−17.4174	+	15.3829i	−0.749526	+	0.661975i
$541$	26.1598	−	19.0062i	1.12470	−	0.817140i	0.139782	−	0.990182i	$-0.455360\pi$
$541$	26.1598	−	19.0062i	1.12470	−	0.817140i	0.984914	+	0.173042i	$0.0553597\pi$
$542$	7.52072	−	17.9046i	0.323043	−	0.769070i
$543$	−8.27538	−	15.6524i	−0.355130	−	0.671710i
$544$	−7.51264	+	8.36636i	−0.322102	+	0.358705i
$545$	15.0819	−	5.91781i	0.646037	−	0.253491i
$546$	−22.5012	+	19.6157i	−0.962962	+	0.839476i
$547$	−6.72237	+	2.18423i	−0.287428	+	0.0933910i	−0.449182	−	0.893440i	$-0.648285\pi$
$547$	−6.72237	+	2.18423i	−0.287428	+	0.0933910i	0.161755	+	0.986831i	$0.448285\pi$
$548$	−6.96693	+	6.82991i	−0.297612	+	0.291759i
$549$	15.9910	−	23.4688i	0.682481	−	1.00162i
$550$	23.9785	+	6.84700i	1.02245	+	0.291957i
$551$	9.10920			0.388065
$552$	5.60638	+	2.32090i	0.238624	+	0.0987839i
$553$	11.6311	+	35.7968i	0.494605	+	1.52224i
$554$	4.77103	−	1.12040i	0.202702	−	0.0476011i
$555$	−5.48561	+	13.1068i	−0.232851	+	0.556354i
$556$	31.0585	+	16.2156i	1.31718	+	0.687696i
$557$			15.5161i			0.657438i	0.944428	+	0.328719i	$0.106617\pi$
$557$			15.5161i			0.657438i	−0.944428	+	0.328719i	$0.893383\pi$
$558$	22.4460	+	34.6353i	0.950216	+	1.46623i
$559$	−9.76560	−	13.4412i	−0.413041	−	0.568502i
$560$	1.33019	+	33.3224i	0.0562107	+	1.40813i
$561$	12.0195	+	1.71807i	0.507464	+	0.0725370i
$562$	−14.7793	+	8.95614i	−0.623428	+	0.377792i
$563$	15.7275	−	11.4267i	0.662834	−	0.481577i	−0.204785	−	0.978807i	$-0.565650\pi$
$563$	15.7275	−	11.4267i	0.662834	−	0.481577i	0.867619	+	0.497230i	$0.165650\pi$
$564$	−2.12497	+	6.65690i	−0.0894774	+	0.280306i
$565$	10.4147	+	26.5424i	0.438148	+	1.11665i
$566$	−22.9166	+	13.8873i	−0.963258	+	0.583726i
$567$	2.02577	+	33.4955i	0.0850742	+	1.40668i
$568$	3.73667	−	14.6026i	0.156787	−	0.612709i
$569$	−21.9307	−	7.12572i	−0.919383	−	0.298726i	−0.189170	−	0.981944i	$-0.560580\pi$
$569$	−21.9307	−	7.12572i	−0.919383	−	0.298726i	−0.730214	+	0.683219i	$0.760580\pi$
$570$	−8.03854	+	15.4450i	−0.336697	+	0.646919i
$571$	6.39705	−	2.07853i	0.267708	−	0.0869837i	−0.172087	−	0.985082i	$-0.555051\pi$
$571$	6.39705	−	2.07853i	0.267708	−	0.0869837i	0.439795	+	0.898098i	$0.355051\pi$
$572$	−3.38004	−	22.8042i	−0.141326	−	0.953492i
$573$	2.03658	−	14.2478i	0.0850795	−	0.595211i
$574$	−5.37904	+	64.2657i	−0.224517	+	2.68240i
$575$	2.60234	+	5.61961i	0.108525	+	0.234354i
$576$	21.3797	−	10.9045i	0.890821	−	0.454355i
$577$	−13.2129	−	9.59973i	−0.550060	−	0.399642i	0.277748	−	0.960654i	$-0.410412\pi$
$577$	−13.2129	−	9.59973i	−0.550060	−	0.399642i	−0.827808	+	0.561012i	$0.810412\pi$
$578$	17.9652	−	4.21882i	0.747254	−	0.175480i
$579$	−27.2037	+	28.0380i	−1.13055	+	1.16522i
$580$	−2.63264	−	12.5416i	−0.109314	−	0.520761i
$581$	53.3973	+	17.3498i	2.21529	+	0.719792i
$582$	−5.49861	+	2.34317i	−0.227925	+	0.0971275i
$583$	−14.1739	−	4.60538i	−0.587023	−	0.190735i
$584$	−7.25798	−	18.2882i	−0.300337	−	0.756771i
$585$	8.62141	+	20.1595i	0.356451	+	0.833492i
$586$	−3.87444	−	3.34250i	−0.160052	−	0.138077i
$587$	−7.11997	+	5.17296i	−0.293872	+	0.213511i	−0.724946	−	0.688806i	$-0.758135\pi$
$587$	−7.11997	+	5.17296i	−0.293872	+	0.213511i	0.431073	+	0.902317i	$0.358135\pi$
$588$	19.4151	+	13.9531i	0.800665	+	0.575416i
$589$	25.0186	+	18.1771i	1.03087	+	0.748973i
$590$	−3.27364	+	9.31650i	−0.134774	+	0.383554i
$591$	11.5073	−	23.4532i	0.473345	−	0.964736i
$592$	8.85952	−	11.6982i	0.364124	−	0.480795i
$593$		−	23.8066i		−	0.977622i	−0.872390	−	0.488811i	$-0.837431\pi$
$593$		−	23.8066i		−	0.977622i	0.872390	−	0.488811i	$-0.162569\pi$
$594$	−22.6245	−	12.6386i	−0.928293	−	0.518567i
$595$	−8.92281	+	13.9651i	−0.365800	+	0.572513i
$596$	1.92934	−	0.285966i	0.0790287	−	0.0117136i
$597$	−3.01952	−	2.92967i	−0.123581	−	0.119903i
$598$	3.73975	−	4.33491i	0.152930	−	0.177268i
$599$	16.6142			0.678837			0.339419	−	0.940635i	$-0.389770\pi$
$599$	16.6142			0.678837			0.339419	+	0.940635i	$0.389770\pi$
$600$	23.5879	+	6.60376i	0.962973	+	0.269597i
$601$	1.87047			0.0762980			0.0381490	−	0.999272i	$-0.487854\pi$
$601$	1.87047			0.0762980			0.0381490	+	0.999272i	$0.487854\pi$
$602$	−17.5083	+	20.2946i	−0.713584	+	0.827147i
$603$	−12.1763	+	41.7220i	−0.495856	+	1.69905i
$604$	−35.2105	+	5.21889i	−1.43269	+	0.212354i
$605$	0.191912	+	3.20756i	0.00780234	+	0.130406i
$606$	26.5061	−	2.35662i	1.07674	−	0.0957313i
$607$		−	3.55849i		−	0.144434i	−0.997389	−	0.0722172i	$-0.976993\pi$
$607$		−	3.55849i		−	0.144434i	0.997389	−	0.0722172i	$-0.0230075\pi$
$608$	12.0147	−	13.3800i	0.487260	−	0.542630i
$609$	−16.6134	−	8.15134i	−0.673210	−	0.330309i
$610$	−29.9266	−	0.710757i	−1.21169	−	0.0287777i
$611$	5.33403	+	3.87540i	0.215792	+	0.156782i
$612$	11.8150	+	1.62655i	0.477594	+	0.0657495i
$613$	−13.2664	+	9.63859i	−0.535824	+	0.389299i	−0.822532	−	0.568719i	$-0.807439\pi$
$613$	−13.2664	+	9.63859i	−0.535824	+	0.389299i	0.286708	+	0.958018i	$0.407439\pi$
$614$	−10.6368	−	9.17639i	−0.429265	−	0.370329i
$615$	43.6957	+	18.2880i	1.76198	+	0.737442i
$616$	−34.5684	+	13.7190i	−1.39280	+	0.552756i
$617$	−20.4200	−	6.63486i	−0.822078	−	0.267109i	−0.132373	−	0.991200i	$-0.542260\pi$
$617$	−20.4200	−	6.63486i	−0.822078	−	0.267109i	−0.689705	+	0.724090i	$0.742260\pi$
$618$	11.9280	+	27.9910i	0.479816	+	1.12596i
$619$	5.10918	+	1.66007i	0.205355	+	0.0667240i	0.409889	−	0.912136i	$-0.365568\pi$
$619$	5.10918	+	1.66007i	0.205355	+	0.0667240i	−0.204533	+	0.978860i	$0.565568\pi$
$620$	17.7957	−	39.6990i	0.714692	−	1.59435i
$621$	−1.29364	−	6.30451i	−0.0519120	−	0.252991i
$622$	−26.3945	+	6.19831i	−1.05832	+	0.248530i
$623$	−9.58238	−	6.96200i	−0.383910	−	0.278927i
$624$	−3.43588	−	22.3825i	−0.137545	−	0.896017i
$625$	13.1353	+	21.2712i	0.525412	+	0.850848i
$626$	−1.39740	+	16.6953i	−0.0558514	+	0.667280i
$627$	−19.2223	−	2.74764i	−0.767667	−	0.109730i
$628$	1.41117	+	9.52083i	0.0563120	+	0.379922i
$629$	6.93535	−	2.25343i	0.276531	−	0.0898502i
$630$	28.4816	−	20.9754i	1.13474	−	0.835681i
$631$	−27.3070	−	8.87259i	−1.08708	−	0.353212i	−0.289960	−	0.957039i	$-0.593642\pi$
$631$	−27.3070	−	8.87259i	−1.08708	−	0.353212i	−0.797116	+	0.603827i	$0.793642\pi$
$632$	−27.6614	−	7.07832i	−1.10031	−	0.281560i
$633$	6.37542	+	36.6608i	0.253400	+	1.45714i
$634$	22.5067	−	13.6389i	0.893856	−	0.541669i
$635$	−4.38139	+	3.60199i	−0.173870	+	0.142940i
$636$	−13.9459	−	4.45170i	−0.552989	−	0.176521i
$637$	18.2504	−	13.2597i	0.723107	−	0.525368i
$638$	12.2223	−	7.40663i	0.483887	−	0.293231i
$639$	−15.0488	+	5.39728i	−0.595321	+	0.213513i
$640$	−21.8940	−	12.6749i	−0.865435	−	0.501021i
$641$	−21.2586	−	29.2599i	−0.839664	−	1.15570i	−0.986047	−	0.166470i	$-0.946763\pi$
$641$	−21.2586	−	29.2599i	−0.839664	−	1.15570i	0.146383	−	0.989228i	$-0.453237\pi$
$642$	−0.881682	−	9.91671i	−0.0347972	−	0.391381i
$643$			28.9777i			1.14277i	0.820683	+	0.571384i	$0.193593\pi$
$643$			28.9777i			1.14277i	−0.820683	+	0.571384i	$0.806407\pi$
$644$	−8.18745	−	4.27466i	−0.322631	−	0.168445i
$645$	10.2246	+	16.8237i	0.402594	+	0.662432i
$646$	8.69957	−	2.04295i	0.342280	−	0.0803787i
$647$	1.21180	+	3.72955i	0.0476409	+	0.146624i	0.972047	−	0.234786i	$-0.0754388\pi$
$647$	1.21180	+	3.72955i	0.0476409	+	0.146624i	−0.924406	+	0.381409i	$0.875439\pi$
$648$	−22.2873	−	12.2995i	−0.875527	−	0.483169i
$649$	−11.0126			−0.432284
$650$	12.9026	−	19.1747i	0.506083	−	0.752094i
$651$	−29.3634	−	55.5393i	−1.15084	−	2.17676i
$652$	−14.5786	+	14.2919i	−0.570943	+	0.559714i
$653$	38.0650	−	12.3681i	1.48960	−	0.484001i	0.552635	−	0.833423i	$-0.313622\pi$
$653$	38.0650	−	12.3681i	1.48960	−	0.484001i	0.936965	+	0.349423i	$0.113622\pi$
$654$	11.6624	+	13.3779i	0.456036	+	0.523118i
$655$	−17.1357	+	26.8191i	−0.669547	+	1.04791i
$656$	−38.9997	−	29.5359i	−1.52268	−	1.15318i
$657$	−11.7512	+	17.2464i	−0.458459	+	0.672845i
$658$	4.11921	−	9.80663i	0.160583	−	0.382302i
$659$	26.7703	−	19.4498i	1.04282	−	0.757656i	0.0719890	−	0.997405i	$-0.477065\pi$
$659$	26.7703	−	19.4498i	1.04282	−	0.757656i	0.970835	+	0.239750i	$0.0770654\pi$
$660$	1.77245	+	27.2595i	0.0689925	+	1.06107i
$661$	−5.86281	−	4.25958i	−0.228037	−	0.165678i	0.467900	−	0.883781i	$-0.345011\pi$
$661$	−5.86281	−	4.25958i	−0.228037	−	0.165678i	−0.695937	+	0.718103i	$0.745011\pi$
$662$	−16.4994	+	9.99850i	−0.641268	+	0.388603i
$663$	4.95674	−	10.1025i	0.192504	−	0.392347i
$664$	−32.7951	+	27.1753i	−1.27270	+	1.05461i
$665$	14.2699	−	22.3338i	0.553363	−	0.866069i
$666$	−15.5425	−	0.829246i	−0.602260	−	0.0321326i
$667$	3.37546	+	1.09675i	0.130698	+	0.0424664i
$668$	6.16372	+	1.03909i	0.238481	+	0.0402035i
$669$	−3.83181	−	22.0342i	−0.148146	−	0.851892i
$670$	43.8950	−	13.1186i	1.69581	−	0.506817i
$671$	−10.3162	−	31.7501i	−0.398254	−	1.22570i
$672$	−33.8855	+	13.6512i	−1.30716	+	0.526607i
$673$	−27.0338	−	19.6412i	−1.04208	−	0.757114i	−0.0713881	−	0.997449i	$-0.522743\pi$
$673$	−27.0338	−	19.6412i	−1.04208	−	0.757114i	−0.970690	+	0.240334i	$0.922743\pi$
$674$	−1.30992	+	15.6502i	−0.0504562	+	0.602822i
$675$	−8.21960	−	24.6463i	−0.316373	−	0.948635i
$676$	4.56961	+	0.770350i	0.175754	+	0.0296288i
$677$	17.3447	−	23.8729i	0.666611	−	0.917511i	−0.333067	−	0.942903i	$-0.608083\pi$
$677$	17.3447	−	23.8729i	0.666611	−	0.917511i	0.999678	+	0.0253923i	$0.00808348\pi$
$678$	−23.5436	+	20.5244i	−0.904186	+	0.788237i
$679$	8.65277	−	2.81145i	0.332063	−	0.107894i
$680$	−5.32699	−	11.3872i	−0.204281	−	0.436678i
$681$	−34.3049	+	5.96572i	−1.31457	+	0.228607i
$682$	48.3485	+	4.04677i	1.85136	+	0.154959i
$683$	−10.6640	+	32.8204i	−0.408047	+	1.25584i	0.510278	+	0.860010i	$0.329543\pi$
$683$	−10.6640	+	32.8204i	−0.408047	+	1.25584i	−0.918324	+	0.395829i	$0.870457\pi$
$684$	−18.8953	−	2.60128i	−0.722480	−	0.0994625i
$685$	−3.98429	−	10.1542i	−0.152232	−	0.387972i
$686$	0.391647	+	0.337876i	0.0149531	+	0.0129001i
$687$	33.3243	+	16.3505i	1.27140	+	0.623810i
$688$	−5.89784	−	19.4585i	−0.224853	−	0.741848i
$689$	−8.11875	+	11.1745i	−0.309300	+	0.425715i
$690$	−4.83830	+	4.75537i	−0.184191	+	0.181034i
$691$	−10.0608	−	13.8475i	−0.382732	−	0.526785i	0.573574	−	0.819154i	$-0.305557\pi$
$691$	−10.0608	−	13.8475i	−0.382732	−	0.526785i	−0.956306	+	0.292369i	$0.905557\pi$
$692$	14.5833	+	7.61392i	0.554374	+	0.289438i
$693$	32.5991	+	22.2122i	1.23834	+	0.843772i
$694$	−40.7055	−	17.0980i	−1.54516	−	0.649033i
$695$	−30.2594	+	24.8766i	−1.14780	+	0.943622i
$696$	11.9679	−	7.33731i	0.453642	−	0.278120i
$697$	−7.51251	−	23.1211i	−0.284557	−	0.875775i
$698$	27.7109	−	32.1210i	1.04887	−	1.21580i
$699$	20.3320	−	10.7494i	0.769026	−	0.406581i
$700$	−34.8734	−	13.1922i	−1.31809	−	0.498618i
$701$			14.9700i			0.565410i	0.959207	+	0.282705i	$0.0912318\pi$
$701$			14.9700i			0.565410i	−0.959207	+	0.282705i	$0.908768\pi$
$702$	−17.6198	+	16.3225i	−0.665015	+	0.616053i
$703$	−11.0914	+	3.60383i	−0.418322	+	0.135921i
$704$	5.24161	−	27.7218i	0.197551	−	1.04480i
$705$	−5.92207	−	5.09572i	−0.223038	−	0.191916i
$706$	6.69975	−	15.9501i	0.252148	−	0.600292i
$707$	−40.5058			−1.52338
$708$	−10.8173	+	0.0559268i	−0.406538	+	0.00210186i
$709$	−4.40902	+	3.20334i	−0.165584	+	0.120304i	−0.667491	−	0.744618i	$-0.732632\pi$
$709$	−4.40902	+	3.20334i	−0.165584	+	0.120304i	0.501907	+	0.864922i	$0.332632\pi$
$710$	13.3947	+	10.2264i	0.502693	+	0.383790i
$711$	10.2240	+	28.5067i	0.383429	+	1.06908i
$712$	8.35146	−	3.31442i	0.312984	−	0.124213i
$713$	7.08222	+	9.74785i	0.265231	+	0.365060i
$714$	−17.6945	−	4.05884i	−0.662199	−	0.151898i
$715$	24.9449	+	6.48650i	0.932885	+	0.242581i
$716$	−11.8557	+	5.89321i	−0.443068	+	0.220240i
$717$	−31.1311	+	5.41379i	−1.16261	+	0.202182i
$718$	2.64322	−	31.5797i	0.0986442	−	1.17854i
$719$	−5.38345	+	16.5685i	−0.200769	+	0.617902i	0.799092	+	0.601209i	$0.205314\pi$
$719$	−5.38345	+	16.5685i	−0.200769	+	0.617902i	−0.999861	+	0.0166936i	$0.994686\pi$
$720$	1.87944	+	26.7669i	0.0700427	+	0.997544i
$721$	−14.3119	−	44.0474i	−0.533002	−	1.64041i
$722$	12.2456	−	2.87567i	0.455733	−	0.107021i
$723$	0.682573	−	4.77524i	0.0253852	−	0.177593i
$724$	−20.1599	−	3.39859i	−0.749238	−	0.126307i
$725$	14.0570	+	2.77113i	0.522063	+	0.102917i
$726$	−3.23823	+	1.37993i	−0.120182	+	0.0512142i
$727$	3.34911	−	4.60965i	0.124212	−	0.170962i	−0.742383	−	0.669976i	$-0.766304\pi$
$727$	3.34911	−	4.60965i	0.124212	−	0.170962i	0.866594	+	0.499014i	$0.166304\pi$
$728$	2.19223	+	34.3992i	0.0812493	+	1.27492i
$729$	2.44306	+	26.8892i	0.0904837	+	0.995898i
$730$	21.9920	+	0.522310i	0.813960	+	0.0193315i
$731$	3.12232	−	9.60950i	0.115483	−	0.355420i
$732$	−10.2945	−	31.1345i	−0.380494	−	1.15076i
$733$	3.44514	−	10.6030i	0.127249	−	0.391632i	−0.867055	−	0.498212i	$-0.833990\pi$
$733$	3.44514	−	10.6030i	0.127249	−	0.391632i	0.994304	+	0.106580i	$0.0339900\pi$
$734$	−4.65582	+	2.82139i	−0.171849	+	0.104139i
$735$	−22.8431	+	13.8830i	−0.842581	+	0.512080i
$736$	6.06305	−	3.51144i	0.223487	−	0.129433i
$737$	30.0310	+	41.3342i	1.10621	+	1.52256i
$738$	−2.76455	+	51.8158i	−0.101764	+	1.90736i
$739$	4.31876	−	5.94426i	0.158868	−	0.218663i	−0.722161	−	0.691725i	$-0.756851\pi$
$739$	4.31876	−	5.94426i	0.158868	−	0.218663i	0.881029	+	0.473061i	$0.156851\pi$
$740$	8.16728	+	14.2292i	0.300235	+	0.523076i
$741$	−7.92713	+	16.1565i	−0.291210	+	0.593523i
$742$	20.5444	+	8.62952i	0.754208	+	0.316800i
$743$	−49.9238			−1.83153			−0.915763	−	0.401720i	$-0.868413\pi$
$743$	−49.9238			−1.83153			−0.915763	+	0.401720i	$0.868413\pi$
$744$	47.5114	+	3.72945i	1.74185	+	0.136728i
$745$	−0.548786	+	2.11044i	−0.0201060	+	0.0773207i
$746$	4.96953	−	1.16701i	0.181948	−	0.0427273i
$747$	43.3658	+	12.6560i	1.58667	+	0.463060i
$748$	10.0116	−	9.81470i	0.366061	−	0.358861i
$749$			15.1544i			0.553730i
$750$	−17.1033	+	21.3887i	−0.624525	+	0.781005i
$751$			15.6934i			0.572659i	0.958131	+	0.286329i	$0.0924352\pi$
$751$			15.6934i			0.572659i	−0.958131	+	0.286329i	$0.907565\pi$
$752$	4.61217	+	6.62075i	0.168188	+	0.241434i
$753$	−13.3895	+	13.8002i	−0.487942	+	0.502906i
$754$	−3.02806	−	12.8945i	−0.110276	−	0.469591i
$755$	10.0154	−	38.5157i	0.364497	−	1.40173i
$756$	32.1336	+	21.6526i	1.16869	+	0.787498i
$757$	29.7944			1.08290			0.541448	−	0.840734i	$-0.317876\pi$
$757$	29.7944			1.08290			0.541448	+	0.840734i	$0.317876\pi$
$758$	−10.6209	+	25.2852i	−0.385768	+	0.918401i
$759$	−6.79211	−	3.33253i	−0.246538	−	0.120963i
$760$	8.51925	+	18.2111i	0.309026	+	0.660585i
$761$	−13.6667	+	18.8106i	−0.495418	+	0.681884i	−0.981376	−	0.192098i	$-0.938471\pi$
$761$	−13.6667	+	18.8106i	−0.495418	+	0.681884i	0.485958	+	0.873982i	$0.338471\pi$
$762$	−5.33034	−	3.19258i	−0.193098	−	0.115655i
$763$	−15.8790	−	21.8555i	−0.574857	−	0.791223i
$764$	−11.6342	−	11.8677i	−0.420912	−	0.429357i
$765$	−6.83677	+	11.4481i	−0.247184	+	0.413907i
$766$	4.76453	+	7.86238i	0.172149	+	0.284079i
$767$	−3.15400	+	9.70701i	−0.113884	+	0.350500i
$768$	5.00784	−	27.2566i	0.180705	−	0.983537i
$769$	4.88353	−	15.0299i	0.176104	−	0.541994i	−0.823578	−	0.567203i	$-0.808025\pi$
$769$	4.88353	−	15.0299i	0.176104	−	0.541994i	0.999682	+	0.0252096i	$0.00802532\pi$
$770$	0.987271	−	41.5693i	0.0355788	−	1.49805i
$771$	−25.4389	−	24.6820i	−0.916161	−	0.888900i
$772$	6.61390	+	44.6222i	0.238039	+	1.60599i
$773$	−32.3212	+	44.4864i	−1.16251	+	1.60006i	−0.461015	+	0.887392i	$0.652515\pi$
$773$	−32.3212	+	44.4864i	−1.16251	+	1.60006i	−0.701499	+	0.712671i	$0.747485\pi$
$774$	−13.5878	+	16.7472i	−0.488402	+	0.601965i
$775$	33.0781	+	35.6611i	1.18820	+	1.28099i
$776$	−1.71096	+	6.68627i	−0.0614199	+	0.240023i
$777$	23.4535	+	3.35245i	0.841390	+	0.120268i
$778$	8.33228	+	35.4817i	0.298727	+	1.27208i
$779$	12.0145	+	36.9767i	0.430463	+	1.32483i
$780$	24.5353	+	6.24475i	0.878504	+	0.223598i
$781$	−5.80761	+	17.8740i	−0.207813	+	0.639581i
$782$	3.46964	+	0.290409i	0.124074	+	0.0103850i
$783$	−13.5592	−	6.15197i	−0.484568	−	0.219853i
$784$	26.4207	−	8.00806i	0.943595	−	0.286002i
$785$	−10.4146	−	2.70813i	−0.371711	−	0.0966574i
$786$	−33.9811	−	7.79474i	−1.21207	−	0.278029i
$787$	−3.11769	−	4.29113i	−0.111134	−	0.152962i	0.749827	−	0.661634i	$-0.230137\pi$
$787$	−3.11769	−	4.29113i	−0.111134	−	0.152962i	−0.860961	+	0.508672i	$0.830137\pi$
$788$	−13.4273	−	27.0124i	−0.478327	−	0.962276i
$789$	1.62230	−	11.3495i	0.0577555	−	0.404054i
$790$	19.3717	−	25.3733i	0.689213	−	0.902742i
$791$	38.4631	−	27.9451i	1.36759	−	0.993614i
$792$	−27.4680	+	11.8733i	−0.976032	+	0.421901i
$793$	−30.9404			−1.09873
$794$	−1.03189	−	0.433438i	−0.0366204	−	0.0153822i
$795$	10.6753	−	12.4064i	0.378613	−	0.440010i
$796$	−4.80555	+	0.712277i	−0.170328	+	0.0252460i
$797$	36.1519	−	11.7465i	1.28057	−	0.416081i	0.411787	−	0.911280i	$-0.364905\pi$
$797$	36.1519	−	11.7465i	1.28057	−	0.416081i	0.868780	+	0.495199i	$0.164905\pi$
$798$	28.2981	+	6.49114i	1.00174	+	0.229784i
$799$			4.00970i			0.141853i
$800$	22.6110	−	16.9925i	0.799418	−	0.600775i
$801$	−7.87570	−	5.36630i	−0.278274	−	0.189609i
$802$	0.459117	+	0.396083i	0.0162120	+	0.0139862i
$803$	7.58102	+	23.3320i	0.267529	+	0.823368i
$804$	29.7082	+	40.4484i	1.04773	+	1.42650i
$805$	7.97678	−	6.55780i	0.281145	−	0.231132i
$806$	17.4139	−	41.4574i	0.613379	−	1.46028i
$807$	−16.1488	+	8.53783i	−0.568466	+	0.300546i
$808$	16.4435	−	25.9573i	0.578480	−	0.913175i
$809$	13.8713	+	19.0922i	0.487689	+	0.671247i	0.979960	−	0.199196i	$-0.0638329\pi$
$809$	13.8713	+	19.0922i	0.487689	+	0.671247i	−0.492270	+	0.870442i	$0.663833\pi$
$810$	22.3964	−	17.5613i	0.786930	−	0.617042i
$811$	29.4566	−	40.5435i	1.03436	−	1.42367i	0.132737	−	0.991151i	$-0.457623\pi$
$811$	29.4566	−	40.5435i	1.03436	−	1.42367i	0.901623	−	0.432523i	$-0.142377\pi$
$812$	−19.1346	+	9.51141i	−0.671493	+	0.333785i
$813$	−10.4767	+	21.3529i	−0.367435	+	0.748877i
$814$	−11.9518	+	13.8538i	−0.418909	+	0.485577i
$815$	−8.33731	−	21.2481i	−0.292043	−	0.744289i
$816$	9.78416	−	9.69143i	0.342514	−	0.339268i
$817$	−4.99340	+	15.3681i	−0.174697	+	0.537662i
$818$	0.257785	−	3.07986i	0.00901323	−	0.107685i
$819$	28.9151	−	22.3727i	1.01038	−	0.781766i
$820$	47.4374	−	27.2282i	1.65659	−	0.950848i
$821$	−42.9828	+	13.9660i	−1.50011	+	0.487415i	−0.940050	−	0.341037i	$-0.889222\pi$
$821$	−42.9828	+	13.9660i	−1.50011	+	0.487415i	−0.560060	+	0.828452i	$0.689222\pi$
$822$	9.00697	−	7.85195i	0.314154	−	0.273868i
$823$	4.85475	−	6.68199i	0.169226	−	0.232920i	−0.715978	−	0.698123i	$-0.754019\pi$
$823$	4.85475	−	6.68199i	0.169226	−	0.232920i	0.885204	+	0.465203i	$0.154019\pi$
$824$	34.0368	+	8.70974i	1.18573	+	0.303418i
$825$	−28.8273	−	10.0877i	−1.00364	−	0.351209i
$826$	16.4085	+	1.37339i	0.570926	+	0.0477865i
$827$	−30.2506	−	21.9783i	−1.05192	−	0.764261i	−0.0793397	−	0.996848i	$-0.525281\pi$
$827$	−30.2506	−	21.9783i	−1.05192	−	0.764261i	−0.972576	+	0.232586i	$0.925281\pi$
$828$	−6.68854	−	3.23892i	−0.232443	−	0.112560i
$829$	−11.1726	−	34.3858i	−0.388042	−	1.19427i	−0.934250	−	0.356620i	$-0.883929\pi$
$829$	−11.1726	−	34.3858i	−0.388042	−	1.19427i	0.546208	−	0.837650i	$-0.316071\pi$
$830$	−13.6355	−	45.6245i	−0.473295	−	1.58365i
$831$	−5.91350	+	1.02837i	−0.205137	+	0.0356739i
$832$	−22.9339	−	12.5596i	−0.795091	−	0.435427i
$833$	13.0477	+	4.23947i	0.452077	+	0.146889i
$834$	−36.8132	−	22.0490i	−1.27474	−	0.763496i
$835$	−3.76272	+	5.88904i	−0.130214	+	0.203799i
$836$	−16.0112	+	15.6963i	−0.553758	+	0.542867i
$837$	−24.9647	−	43.9535i	−0.862907	−	1.51925i
$838$	23.1553	+	38.2106i	0.799887	+	1.31996i
$839$	−24.4427	−	17.7586i	−0.843854	−	0.613096i	0.0795906	−	0.996828i	$-0.474639\pi$
$839$	−24.4427	−	17.7586i	−0.843854	−	0.613096i	−0.923445	+	0.383732i	$0.874639\pi$
$840$	0.758650	−	40.8369i	0.0261759	−	1.40901i
$841$	−16.8186	+	12.2194i	−0.579951	+	0.421359i
$842$	−40.0217	−	16.8109i	−1.37924	−	0.579340i
$843$	18.7110	−	9.89243i	0.644440	−	0.340713i
$844$	38.0888	+	19.8861i	1.31107	+	0.684509i
$845$	−2.78958	+	4.36597i	−0.0959645	+	0.150194i
$846$	3.07456	−	7.98697i	0.105705	−	0.274598i
$847$	5.09577	−	1.65571i	0.175093	−	0.0568910i
$848$	−13.8701	+	9.66225i	−0.476302	+	0.331803i
$849$	29.0130	−	15.3391i	0.995725	−	0.526436i
$850$	14.0463	−	0.506089i	0.481786	−	0.0173587i
$851$	−4.54388			−0.155762
$852$	−5.61381	+	17.5864i	−0.192326	+	0.602500i
$853$	−6.86533	−	21.1293i	−0.235065	−	0.723454i	−0.997113	−	0.0759342i	$-0.975806\pi$
$853$	−6.86533	−	21.1293i	−0.235065	−	0.723454i	0.762048	−	0.647520i	$-0.224194\pi$
$854$	11.4113	+	48.5933i	0.390487	+	1.66283i
$855$	10.9338	−	18.3085i	0.373928	−	0.626137i
$856$	−9.71139	−	6.15199i	−0.331929	−	0.210271i
$857$		−	7.19446i		−	0.245758i	−0.992422	−	0.122879i	$-0.960787\pi$
$857$		−	7.19446i		−	0.245758i	0.992422	−	0.122879i	$-0.0392127\pi$
$858$	2.50043	+	28.1235i	0.0853631	+	0.960122i
$859$	−27.3615	−	37.6598i	−0.933561	−	1.28494i	−0.958454	−	0.285247i	$-0.907924\pi$
$859$	−27.3615	−	37.6598i	−0.933561	−	1.28494i	0.0248928	−	0.999690i	$-0.492076\pi$
$860$	22.6020	+	2.43342i	0.770722	+	0.0829791i
$861$	11.1764	−	78.1895i	0.380891	−	2.66469i
$862$	−18.6920	−	30.8454i	−0.636653	−	1.05060i
$863$	8.03676	−	5.83905i	0.273574	−	0.198763i	−0.442535	−	0.896751i	$-0.645921\pi$
$863$	8.03676	−	5.83905i	0.273574	−	0.198763i	0.716110	+	0.697988i	$0.245921\pi$
$864$	−26.9204	+	11.8022i	−0.915851	+	0.401519i
$865$	−14.2081	+	11.6806i	−0.483088	+	0.397152i
$866$	0.365623	+	0.603346i	0.0124244	+	0.0205025i
$867$	−22.2671	+	3.87232i	−0.756231	+	0.131511i
$868$	−71.5332	−	12.0592i	−2.42800	−	0.409314i
$869$	33.8584	+	11.0012i	1.14857	+	0.373192i
$870$	2.32115	+	15.5224i	0.0786943	+	0.526259i
$871$	45.0345	−	14.6326i	1.52594	−	0.495806i
$872$	20.4518	−	1.30337i	0.692584	−	0.0441378i
$873$	6.89059	−	2.47133i	0.233211	−	0.0836417i
$874$	−5.54886	−	0.464440i	−0.187693	−	0.0157099i
$875$	28.8150	−	30.1236i	0.974125	−	1.01837i
$876$	7.56503	+	22.8796i	0.255599	+	0.773029i
$877$	−2.69068	−	1.95489i	−0.0908578	−	0.0660121i	0.541429	−	0.840747i	$-0.317884\pi$
$877$	−2.69068	−	1.95489i	−0.0908578	−	0.0660121i	−0.632287	+	0.774734i	$0.717884\pi$
$878$	12.1653	+	51.8039i	0.410558	+	1.74830i
$879$	4.49786	+	4.36402i	0.151709	+	0.147195i
$880$	26.2381	+	17.5079i	0.884485	+	0.590191i
$881$	−25.3805	−	8.24661i	−0.855089	−	0.277835i	−0.151513	−	0.988455i	$-0.548415\pi$
$881$	−25.3805	−	8.24661i	−0.855089	−	0.277835i	−0.703576	+	0.710620i	$0.748415\pi$
$882$	−22.7392	−	18.4494i	−0.765670	−	0.621224i
$883$	−25.1845	−	8.18294i	−0.847526	−	0.275378i	−0.147117	−	0.989119i	$-0.546999\pi$
$883$	−25.1845	−	8.18294i	−0.847526	−	0.275378i	−0.700409	+	0.713741i	$0.746999\pi$
$884$	−5.78379	−	11.6356i	−0.194530	−	0.391346i
$885$	4.66934	−	11.1565i	0.156958	−	0.375023i
$886$	−0.454425	+	0.526744i	−0.0152667	+	0.0176963i
$887$	36.4449	−	26.4788i	1.22370	−	0.889071i	0.227299	−	0.973825i	$-0.427010\pi$
$887$	36.4449	−	26.4788i	1.22370	−	0.889071i	0.996402	+	0.0847541i	$0.0270105\pi$
$888$	−11.6694	+	13.6688i	−0.391599	+	0.458694i
$889$	7.65141	+	5.55907i	0.256620	+	0.186445i
$890$	−0.238517	+	10.0428i	−0.00799511	+	0.336636i
$891$	26.7572	+	17.0719i	0.896401	+	0.571930i
$892$	−22.8925	−	11.9521i	−0.766497	−	0.400187i
$893$		−	6.41256i		−	0.214588i
$894$	−2.37937	+	0.211547i	−0.0795782	+	0.00707519i
$895$	−0.884060	−	14.7759i	−0.0295509	−	0.493905i
$896$	−11.2670	+	40.6509i	−0.376406	+	1.35805i
$897$	−4.88268	+	5.03242i	−0.163028	+	0.168028i
$898$	11.7552	+	10.1413i	0.392276	+	0.338419i
$899$	27.8758			0.929709
$900$	−28.3672	−	9.76237i	−0.945572	−	0.325412i
$901$	−8.40011			−0.279848
$902$	46.1860	+	39.8449i	1.53783	+	1.32669i
$903$	22.8591	−	23.5601i	0.760703	−	0.784032i
$904$	2.29378	+	35.9927i	0.0762901	+	1.19710i
$905$	12.3069	−	19.2615i	0.409096	−	0.640275i
$906$	43.4237	−	3.86074i	1.44266	−	0.128265i
$907$		−	10.5147i		−	0.349134i	−0.984645	−	0.174567i	$-0.944147\pi$
$907$		−	10.5147i		−	0.349134i	0.984645	−	0.174567i	$-0.0558525\pi$
$908$	−18.6082	+	35.6411i	−0.617535	+	1.18279i
$909$	−32.5764	+	0.984191i	−1.08049	+	0.0326435i
$910$	−36.3582	−	12.7756i	−1.20526	−	0.423507i
$911$	0.659734	+	0.479325i	0.0218579	+	0.0158807i	0.598661	−	0.801003i	$-0.295700\pi$
$911$	0.659734	+	0.479325i	0.0218579	+	0.0158807i	−0.576803	+	0.816884i	$0.695700\pi$
$912$	−15.6474	+	15.4991i	−0.518138	+	0.513228i
$913$	42.9627	−	31.2142i	1.42186	−	1.03304i
$914$	−10.5718	+	12.2543i	−0.349685	+	0.405335i
$915$	36.5390	+	3.01097i	1.20794	+	0.0995395i
$916$	38.3815	−	19.0786i	1.26816	−	0.630375i
$917$	50.4709	+	16.3990i	1.66670	+	0.541542i
$918$	−14.3292	−	2.83435i	−0.472935	−	0.0935475i
$919$	29.6555	+	9.63567i	0.978246	+	0.317851i	0.754140	−	0.656713i	$-0.228054\pi$
$919$	29.6555	+	9.63567i	0.978246	+	0.317851i	0.224106	+	0.974565i	$0.428054\pi$
$920$	0.964223	+	7.77392i	0.0317895	+	0.256298i
$921$	12.3483	+	11.9808i	0.406889	+	0.394782i
$922$	−11.2189	−	47.7739i	−0.369475	−	1.57335i
$923$	14.0916	+	10.2381i	0.463830	+	0.336992i
$924$	43.2470	−	14.2994i	1.42272	−	0.470417i
$925$	−18.2122	+	2.18714i	−0.598814	+	0.0719129i
$926$	−3.96706	−	0.332043i	−0.130366	−	0.0109116i
$927$	−12.5804	−	35.0770i	−0.413195	−	1.15208i
$928$	1.67258	−	16.1232i	0.0549052	−	0.529270i
$929$	−37.8470	+	12.2972i	−1.24172	+	0.403460i	−0.854947	−	0.518715i	$-0.826411\pi$
$929$	−37.8470	+	12.2972i	−1.24172	+	0.403460i	−0.386774	+	0.922175i	$0.626411\pi$
$930$	−24.5993	+	47.2644i	−0.806644	+	1.54986i
$931$	−20.8667	−	6.78002i	−0.683880	−	0.222206i
$932$	4.41465	−	26.1871i	0.144607	−	0.857787i
$933$	32.7149	−	5.68922i	1.07104	−	0.186257i
$934$	−28.5363	−	47.0903i	−0.933737	−	1.54084i
$935$	5.72550	+	14.5918i	0.187244	+	0.477202i
$936$	2.59889	+	27.6119i	0.0849474	+	0.902524i
$937$	12.5857	−	9.14401i	0.411155	−	0.298722i	−0.362914	−	0.931823i	$-0.618218\pi$
$937$	12.5857	−	9.14401i	0.411155	−	0.298722i	0.774069	+	0.633101i	$0.218218\pi$
$938$	−39.5905	−	65.3319i	−1.29268	−	2.13316i
$939$	2.90348	−	20.3126i	0.0947515	−	0.662876i
$940$	−8.82883	+	1.85328i	−0.287965	+	0.0604474i
$941$	9.44823	+	13.0044i	0.308003	+	0.423930i	0.934757	−	0.355287i	$-0.115617\pi$
$941$	9.44823	+	13.0044i	0.308003	+	0.423930i	−0.626754	+	0.779217i	$0.715617\pi$
$942$	−1.04394	−	11.7417i	−0.0340132	−	0.382564i
$943$			15.1484i			0.493301i
$944$	−7.54122	+	9.95753i	−0.245446	+	0.324090i
$945$	−36.3244	+	23.6071i	−1.18163	+	0.767939i
$946$	5.79577	+	24.6804i	0.188437	+	0.802428i
$947$	7.05943	+	21.7267i	0.229401	+	0.706022i	0.997815	+	0.0660698i	$0.0210460\pi$
$947$	7.05943	+	21.7267i	0.229401	+	0.706022i	−0.768414	+	0.639953i	$0.778954\pi$
$948$	33.3136	+	10.6341i	1.08197	+	0.345381i
$949$	22.7370			0.738074
$950$	−22.4638	+	0.809369i	−0.728821	+	0.0262594i
$951$	−28.4941	+	15.0647i	−0.923983	+	0.488506i
$952$	−16.1410	+	13.3751i	−0.523133	+	0.433488i
$953$	13.2047	−	4.29046i	0.427742	−	0.138982i	−0.0872314	−	0.996188i	$-0.527802\pi$
$953$	13.2047	−	4.29046i	0.427742	−	0.138982i	0.514973	+	0.857206i	$0.327802\pi$
$954$	16.7323	+	6.44104i	0.541728	+	0.208536i
$955$	17.2969	−	6.78695i	0.559715	−	0.219620i
$956$	−16.8866	+	32.3437i	−0.546152	+	1.04607i
$957$	−15.4738	+	8.18093i	−0.500196	+	0.264452i
$958$	−31.5174	−	13.2387i	−1.01828	−	0.427721i
$959$	−14.7147	+	10.6908i	−0.475162	+	0.345225i
$960$	25.8615	+	17.0641i	0.834677	+	0.550740i
$961$	51.4818	+	37.4037i	1.66070	+	1.20657i
$962$	8.78839	+	14.5025i	0.283349	+	0.467579i
$963$	0.368214	+	12.1878i	0.0118655	+	0.392746i
$964$	−3.89929	−	3.97752i	−0.125588	−	0.128107i
$965$	−48.8110	−	12.6925i	−1.57128	−	0.408586i
$966$	9.70444	+	5.81242i	0.312235	+	0.187012i
$967$	15.7376	+	5.11345i	0.506086	+	0.164437i	0.550921	−	0.834557i	$-0.314276\pi$
$967$	15.7376	+	5.11345i	0.506086	+	0.164437i	−0.0448355	+	0.998994i	$0.514276\pi$
$968$	−1.00762	+	3.93766i	−0.0323860	+	0.126561i
$969$	−10.7828	+	1.87515i	−0.346393	+	0.0602386i
$970$	−6.13320	−	4.68249i	−0.196925	−	0.150346i
$971$	−10.0595	−	30.9600i	−0.322826	−	0.993555i	−0.972413	−	0.233268i	$-0.925058\pi$
$971$	−10.0595	−	30.9600i	−0.322826	−	0.993555i	0.649587	−	0.760287i	$-0.274942\pi$
$972$	26.3693	+	16.6331i	0.845795	+	0.533508i
$973$	52.8433	+	38.3929i	1.69408	+	1.23082i
$974$	−32.1962	−	2.69483i	−1.03163	−	0.0863478i
$975$	−17.1478	+	22.5205i	−0.549170	+	0.721234i
$976$	−35.7725	−	12.4139i	−1.14505	−	0.397360i
$977$	−10.5572	+	14.5307i	−0.337754	+	0.464878i	−0.943784	−	0.330564i	$-0.892761\pi$
$977$	−10.5572	+	14.5307i	−0.337754	+	0.464878i	0.606030	+	0.795442i	$0.292761\pi$
$978$	18.8475	−	16.4306i	0.602677	−	0.525392i
$979$	−10.6547	+	3.46194i	−0.340527	+	0.110644i
$980$	−3.30409	+	30.6889i	−0.105545	+	0.980321i
$981$	−13.3015	−	17.1913i	−0.424685	−	0.548875i
$982$	−1.04646	+	12.5025i	−0.0333939	+	0.398971i
$983$	13.7089	−	42.1918i	0.437247	−	1.34571i	−0.453519	−	0.891247i	$-0.649831\pi$
$983$	13.7089	−	42.1918i	0.437247	−	1.34571i	0.890766	−	0.454462i	$-0.150169\pi$
$984$	45.5690	+	38.9035i	1.45269	+	1.24020i
$985$	33.6659	−	2.01427i	1.07268	−	0.0641799i
$986$	5.26178	−	6.09916i	0.167569	−	0.194237i
$987$	−5.73825	+	11.6953i	−0.182651	+	0.372264i
$988$	9.24979	+	18.6083i	0.294275	+	0.592009i
$989$	−3.70065	+	5.09351i	−0.117674	+	0.161964i
$990$	−0.216028	−	33.4557i	−0.00686582	−	1.06329i
$991$	3.74418	+	5.15342i	0.118938	+	0.163704i	0.864335	−	0.502917i	$-0.167740\pi$
$991$	3.74418	+	5.15342i	0.118938	+	0.163704i	−0.745397	+	0.666621i	$0.767740\pi$
$992$	36.7671	−	40.9451i	1.16736	−	1.30001i
$993$	20.8887	−	11.0438i	0.662882	−	0.350463i
$994$	10.8822	−	25.9074i	0.345164	−	0.821734i
$995$	1.36690	−	5.25665i	0.0433338	−	0.166647i
$996$	42.0420	−	30.8787i	1.33215	−	0.978429i
$997$	−7.33012	−	22.5598i	−0.232147	−	0.714475i	−0.997487	−	0.0708490i	$-0.977429\pi$
$997$	−7.33012	−	22.5598i	−0.232147	−	0.714475i	0.765340	−	0.643626i	$-0.222571\pi$
$998$	−7.60293	−	6.55908i	−0.240666	−	0.207624i
$999$	18.9437	+	2.12631i	0.599353	+	0.0672736i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	300.2.n.a.191.16	yes	224
3.2	odd	2	inner	300.2.n.a.191.41	yes	224
4.3	odd	2	inner	300.2.n.a.191.19	yes	224
12.11	even	2	inner	300.2.n.a.191.38	yes	224
25.11	even	5	inner	300.2.n.a.11.38	yes	224
75.11	odd	10	inner	300.2.n.a.11.19	yes	224
100.11	odd	10	inner	300.2.n.a.11.41	yes	224
300.11	even	10	inner	300.2.n.a.11.16	✓	224

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
300.2.n.a.11.16	✓	224	300.11	even	10	inner
300.2.n.a.11.19	yes	224	75.11	odd	10	inner
300.2.n.a.11.38	yes	224	25.11	even	5	inner
300.2.n.a.11.41	yes	224	100.11	odd	10	inner
300.2.n.a.191.16	yes	224	1.1	even	1	trivial
300.2.n.a.191.19	yes	224	4.3	odd	2	inner
300.2.n.a.191.38	yes	224	12.11	even	2	inner
300.2.n.a.191.41	yes	224	3.2	odd	2	inner

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)

\(f(q)\)	\(=\)	\(q+(-0.923787 + 1.07080i) q^{2} +(1.20611 - 1.24310i) q^{3} +(-0.293236 - 1.97839i) q^{4} +(2.16410 + 0.562738i) q^{5} +(0.216925 + 2.43987i) q^{6} -3.72853i q^{7} +(2.38935 + 1.51361i) q^{8} +(-0.0905939 - 2.99863i) q^{9} +O(q^{10})\)	\(q+(-0.923787 + 1.07080i) q^{2} +(1.20611 - 1.24310i) q^{3} +(-0.293236 - 1.97839i) q^{4} +(2.16410 + 0.562738i) q^{5} +(0.216925 + 2.43987i) q^{6} -3.72853i q^{7} +(2.38935 + 1.51361i) q^{8} +(-0.0905939 - 2.99863i) q^{9} +(-2.60175 + 1.79747i) q^{10} +(-2.85309 - 2.07289i) q^{11} +(-2.81301 - 2.02163i) q^{12} +(-2.64426 + 1.92116i) q^{13} +(3.99251 + 3.44436i) q^{14} +(3.30968 - 2.01147i) q^{15} +(-3.82803 + 1.16027i) q^{16} +(-1.89045 - 0.614246i) q^{17} +(3.29463 + 2.67309i) q^{18} +(3.02333 + 0.982340i) q^{19} +(0.478722 - 4.44644i) q^{20} +(-4.63493 - 4.49701i) q^{21} +(4.85531 - 1.14019i) q^{22} +(1.00203 + 0.728021i) q^{23} +(4.76339 - 1.14462i) q^{24} +(4.36665 + 2.43564i) q^{25} +(0.385541 - 4.60622i) q^{26} +(-3.83686 - 3.50406i) q^{27} +(-7.37646 + 1.09334i) q^{28} +(2.72526 - 0.885489i) q^{29} +(-0.903558 + 5.40218i) q^{30} +(9.25193 + 3.00613i) q^{31} +(2.29386 - 5.17090i) q^{32} +(-6.01796 + 1.04654i) q^{33} +(2.40411 - 1.45687i) q^{34} +(2.09818 - 8.06890i) q^{35} +(-5.90589 + 1.05854i) q^{36} +(-2.96797 + 2.15636i) q^{37} +(-3.84481 + 2.32992i) q^{38} +(-0.801066 + 5.60421i) q^{39} +(4.31902 + 4.62018i) q^{40} +(7.18888 + 9.89465i) q^{41} +(9.09710 - 0.808811i) q^{42} +5.08317i q^{43} +(-3.26436 + 6.25237i) q^{44} +(1.49139 - 6.54032i) q^{45} +(-1.70523 + 0.400445i) q^{46} +(-0.623353 - 1.91848i) q^{47} +(-3.17469 + 6.15803i) q^{48} -6.90190 q^{49} +(-6.64195 + 2.42581i) q^{50} +(-3.04367 + 1.60918i) q^{51} +(4.57620 + 4.66800i) q^{52} +(4.01912 - 1.30589i) q^{53} +(7.29661 - 0.871516i) q^{54} +(-5.00788 - 6.09149i) q^{55} +(5.64353 - 8.90875i) q^{56} +(4.86762 - 2.57349i) q^{57} +(-1.56937 + 3.73621i) q^{58} +(2.52634 - 1.83549i) q^{59} +(-4.94998 - 5.95800i) q^{60} +(7.65840 + 5.56415i) q^{61} +(-11.7658 + 7.12996i) q^{62} +(-11.1805 + 0.337782i) q^{63} +(3.41797 + 7.23308i) q^{64} +(-6.80354 + 2.66957i) q^{65} +(4.43867 - 7.41083i) q^{66} +(-13.7784 - 4.47688i) q^{67} +(-0.660867 + 3.92017i) q^{68} +(2.11357 - 0.367555i) q^{69} +(6.70192 + 9.70068i) q^{70} +(-1.64679 - 5.06831i) q^{71} +(4.32230 - 7.30190i) q^{72} +(-5.62788 - 4.08889i) q^{73} +(0.432740 - 5.17013i) q^{74} +(8.29441 - 2.49053i) q^{75} +(1.05690 - 6.26938i) q^{76} +(-7.72884 + 10.6378i) q^{77} +(-5.26099 - 6.03488i) q^{78} +(-9.60080 + 3.11949i) q^{79} +(-8.93715 + 0.356760i) q^{80} +(-8.98359 + 0.543315i) q^{81} +(-17.2362 - 1.44267i) q^{82} +(-4.65327 + 14.3213i) q^{83} +(-7.53770 + 10.4884i) q^{84} +(-3.74547 - 2.39312i) q^{85} +(-5.44307 - 4.69576i) q^{86} +(2.18621 - 4.45576i) q^{87} +(-3.67948 - 9.27133i) q^{88} +(1.86723 - 2.57002i) q^{89} +(5.62566 + 7.63884i) q^{90} +(7.16311 + 9.85917i) q^{91} +(1.14647 - 2.19589i) q^{92} +(14.8958 - 7.87534i) q^{93} +(2.63016 + 1.10478i) q^{94} +(5.98999 + 3.82723i) q^{95} +(-3.66129 - 9.08818i) q^{96} +(0.754039 + 2.32069i) q^{97} +(6.37589 - 7.39058i) q^{98} +(-5.95737 + 8.74317i) 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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