LMFDB - Embedded newform 600.2.bk.a.59.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))

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

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

chi := DirichletCharacter("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (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:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.15
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.27389 + 0.614170i) q^{2} +(-1.56146 - 0.749570i) q^{3} +(1.24559 - 1.56477i) q^{4} +(1.26771 + 1.84199i) q^{5} +(2.44949 - 0.00412900i) q^{6} +4.42667 q^{7} +(-0.625712 + 2.75835i) q^{8} +(1.87629 + 2.34084i) q^{9} +O(q^{10})$	\(q+(-1.27389 + 0.614170i) q^{2} +(-1.56146 - 0.749570i) q^{3} +(1.24559 - 1.56477i) q^{4} +(1.26771 + 1.84199i) q^{5} +(2.44949 - 0.00412900i) q^{6} +4.42667 q^{7} +(-0.625712 + 2.75835i) q^{8} +(1.87629 + 2.34084i) q^{9} +(-2.74621 - 1.56790i) q^{10} +(1.12578 - 1.54950i) q^{11} +(-3.11784 + 1.50966i) q^{12} +(-0.563087 + 0.409107i) q^{13} +(-5.63909 + 2.71873i) q^{14} +(-0.598766 - 3.82642i) q^{15} +(-0.897005 - 3.89813i) q^{16} +(-0.928635 + 2.85804i) q^{17} +(-3.82786 - 1.82961i) q^{18} +(1.16455 - 3.58413i) q^{19} +(4.46133 + 0.310699i) q^{20} +(-6.91206 - 3.31810i) q^{21} +(-0.482462 + 2.66532i) q^{22} +(-3.33881 + 4.59547i) q^{23} +(3.04460 - 3.83802i) q^{24} +(-1.78585 + 4.67020i) q^{25} +(0.466050 - 0.866988i) q^{26} +(-1.17512 - 5.06153i) q^{27} +(5.51383 - 6.92672i) q^{28} +(-1.67684 - 5.16077i) q^{29} +(3.11283 + 4.50669i) q^{30} +(5.51477 + 1.79186i) q^{31} +(3.53680 + 4.41487i) q^{32} +(-2.91932 + 1.57563i) q^{33} +(-0.572346 - 4.21117i) q^{34} +(5.61172 + 8.15388i) q^{35} +(5.99997 - 0.0202278i) q^{36} +(2.64909 - 1.92467i) q^{37} +(0.717750 + 5.28102i) q^{38} +(1.18589 - 0.216729i) q^{39} +(-5.87407 + 2.34422i) q^{40} +(1.09138 + 1.50215i) q^{41} +(10.8431 - 0.0182777i) q^{42} +8.47941i q^{43} +(-1.02235 - 3.69163i) q^{44} +(-1.93322 + 6.42360i) q^{45} +(1.43087 - 7.90472i) q^{46} +(11.6938 - 3.79954i) q^{47} +(-1.52128 + 6.75912i) q^{48} +12.5954 q^{49} +(-0.593323 - 7.04613i) q^{50} +(3.59233 - 3.76663i) q^{51} +(-0.0612187 + 1.39068i) q^{52} +(-3.32123 + 1.07913i) q^{53} +(4.60561 + 5.72611i) q^{54} +(4.28133 + 0.109361i) q^{55} +(-2.76982 + 12.2103i) q^{56} +(-4.50496 + 4.72354i) q^{57} +(5.30570 + 5.54439i) q^{58} +(5.82299 + 8.01466i) q^{59} +(-6.73328 - 3.82922i) q^{60} +(-3.18229 + 4.38005i) q^{61} +(-8.12571 + 1.10438i) q^{62} +(8.30572 + 10.3621i) q^{63} +(-7.21697 - 3.45186i) q^{64} +(-1.46740 - 0.518573i) q^{65} +(2.75119 - 3.80014i) q^{66} +(-6.91020 - 2.24526i) q^{67} +(3.31548 + 5.01306i) q^{68} +(8.65803 - 4.67296i) q^{69} +(-12.1566 - 6.94060i) q^{70} +(-3.80430 - 11.7084i) q^{71} +(-7.63087 + 3.71077i) q^{72} +(-4.49568 + 6.18778i) q^{73} +(-2.19257 + 4.07881i) q^{74} +(6.28916 - 5.95369i) q^{75} +(-4.15778 - 6.28662i) q^{76} +(4.98346 - 6.85915i) q^{77} +(-1.37759 + 1.00443i) q^{78} +(8.54174 - 2.77538i) q^{79} +(6.04317 - 6.59395i) q^{80} +(-1.95908 + 8.78419i) q^{81} +(-2.31287 - 1.24329i) q^{82} +(1.23412 - 3.79823i) q^{83} +(-13.8017 + 6.68277i) q^{84} +(-6.44172 + 1.91262i) q^{85} +(-5.20779 - 10.8018i) q^{86} +(-1.25005 + 9.31523i) q^{87} +(3.56966 + 4.07484i) q^{88} +(4.50569 - 6.20156i) q^{89} +(-1.48247 - 9.37029i) q^{90} +(-2.49260 + 1.81098i) q^{91} +(3.03207 + 10.9485i) q^{92} +(-7.26794 - 6.93161i) q^{93} +(-12.5630 + 12.0222i) q^{94} +(8.07824 - 2.39852i) q^{95} +(-2.21330 - 9.54470i) q^{96} +(-12.6891 + 4.12293i) q^{97} +(-16.0452 + 7.73574i) q^{98} +(5.73943 - 0.272044i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.27389	+	0.614170i	−0.900776	+	0.434284i
$2$	−1.27389	+	0.614170i	−0.900776	+	0.434284i
$3$	−1.56146	−	0.749570i	−0.901507	−	0.432765i
$3$	−1.56146	−	0.749570i	−0.901507	−	0.432765i
$4$	1.24559	−	1.56477i	0.622796	−	0.782385i
$5$	1.26771	+	1.84199i	0.566935	+	0.823762i
$5$	1.26771	+	1.84199i	0.566935	+	0.823762i
$6$	2.44949	−	0.00412900i	0.999999	−	0.00168566i
$7$	4.42667			1.67313			0.836563	−	0.547871i	$-0.184562\pi$
$7$	4.42667			1.67313			0.836563	+	0.547871i	$0.184562\pi$
$8$	−0.625712	+	2.75835i	−0.221223	+	0.975223i
$9$	1.87629	+	2.34084i	0.625430	+	0.780281i
$10$	−2.74621	−	1.56790i	−0.868428	−	0.495815i
$11$	1.12578	−	1.54950i	0.339436	−	0.467193i	−0.604841	−	0.796346i	$-0.706763\pi$
$11$	1.12578	−	1.54950i	0.339436	−	0.467193i	0.944276	+	0.329153i	$0.106763\pi$
$12$	−3.11784	+	1.50966i	−0.900043	+	0.435801i
$13$	−0.563087	+	0.409107i	−0.156172	+	0.113466i	−0.663127	−	0.748507i	$-0.730771\pi$
$13$	−0.563087	+	0.409107i	−0.156172	+	0.113466i	0.506955	+	0.861973i	$0.330771\pi$
$14$	−5.63909	+	2.71873i	−1.50711	+	0.726611i
$15$	−0.598766	−	3.82642i	−0.154601	−	0.987977i
$16$	−0.897005	−	3.89813i	−0.224251	−	0.974531i
$17$	−0.928635	+	2.85804i	−0.225227	+	0.693178i	0.773041	+	0.634356i	$0.218734\pi$
$17$	−0.928635	+	2.85804i	−0.225227	+	0.693178i	−0.998268	+	0.0588221i	$0.981266\pi$
$18$	−3.82786	−	1.82961i	−0.902235	−	0.431244i
$19$	1.16455	−	3.58413i	0.267167	−	0.822256i	−0.724019	−	0.689780i	$-0.757707\pi$
$19$	1.16455	−	3.58413i	0.267167	−	0.822256i	0.991186	−	0.132476i	$-0.0422927\pi$
$20$	4.46133	+	0.310699i	0.997584	+	0.0694744i
$21$	−6.91206	−	3.31810i	−1.50833	−	0.724069i
$22$	−0.482462	+	2.66532i	−0.102861	+	0.568248i
$23$	−3.33881	+	4.59547i	−0.696189	+	0.958222i	0.303796	+	0.952737i	$0.401746\pi$
$23$	−3.33881	+	4.59547i	−0.696189	+	0.958222i	−0.999985	+	0.00548519i	$0.998254\pi$
$24$	3.04460	−	3.83802i	0.621476	−	0.783433i
$25$	−1.78585	+	4.67020i	−0.357169	+	0.934040i
$26$	0.466050	−	0.866988i	0.0913999	−	0.170030i
$27$	−1.17512	−	5.06153i	−0.226152	−	0.974092i
$28$	5.51383	−	6.92672i	1.04202	−	1.30903i
$29$	−1.67684	−	5.16077i	−0.311381	−	0.958331i	−0.977219	−	0.212235i	$-0.931926\pi$
$29$	−1.67684	−	5.16077i	−0.311381	−	0.958331i	0.665838	−	0.746096i	$-0.268074\pi$
$30$	3.11283	+	4.50669i	0.568323	+	0.822806i
$31$	5.51477	+	1.79186i	0.990482	+	0.321827i	0.759056	−	0.651026i	$-0.225661\pi$
$31$	5.51477	+	1.79186i	0.990482	+	0.321827i	0.231426	+	0.972853i	$0.425661\pi$
$32$	3.53680	+	4.41487i	0.625223	+	0.780446i
$33$	−2.91932	+	1.57563i	−0.508188	+	0.274282i
$34$	−0.572346	−	4.21117i	−0.0981565	−	0.722210i
$35$	5.61172	+	8.15388i	0.948553	+	1.37826i
$36$	5.99997	−	0.0202278i	0.999994	−	0.00337131i
$37$	2.64909	−	1.92467i	0.435507	−	0.316414i	−0.348340	−	0.937368i	$-0.613255\pi$
$37$	2.64909	−	1.92467i	0.435507	−	0.316414i	0.783847	+	0.620954i	$0.213255\pi$
$38$	0.717750	+	5.28102i	0.116434	+	0.856695i
$39$	1.18589	−	0.216729i	0.189894	−	0.0347044i
$40$	−5.87407	+	2.34422i	−0.928771	+	0.370653i
$41$	1.09138	+	1.50215i	0.170445	+	0.234597i	0.885691	−	0.464276i	$-0.153685\pi$
$41$	1.09138	+	1.50215i	0.170445	+	0.234597i	−0.715246	+	0.698873i	$0.753685\pi$
$42$	10.8431	−	0.0182777i	1.67312	−	0.00282031i
$43$			8.47941i			1.29310i	0.762873	+	0.646549i	$0.223788\pi$
$43$			8.47941i			1.29310i	−0.762873	+	0.646549i	$0.776212\pi$
$44$	−1.02235	−	3.69163i	−0.154126	−	0.556535i
$45$	−1.93322	+	6.42360i	−0.288188	+	0.957574i
$46$	1.43087	−	7.90472i	0.210971	−	1.16549i
$47$	11.6938	−	3.79954i	1.70572	−	0.554220i	0.716104	−	0.697993i	$-0.245923\pi$
$47$	11.6938	−	3.79954i	1.70572	−	0.554220i	0.989611	+	0.143773i	$0.0459234\pi$
$48$	−1.52128	+	6.75912i	−0.219578	+	0.975595i
$49$	12.5954			1.79935
$50$	−0.593323	−	7.04613i	−0.0839085	−	0.996473i
$51$	3.59233	−	3.76663i	0.503027	−	0.527434i
$52$	−0.0612187	+	1.39068i	−0.00848951	+	0.192853i
$53$	−3.32123	+	1.07913i	−0.456206	+	0.148230i	−0.528100	−	0.849182i	$-0.677096\pi$
$53$	−3.32123	+	1.07913i	−0.456206	+	0.148230i	0.0718943	+	0.997412i	$0.477096\pi$
$54$	4.60561	+	5.72611i	0.626744	+	0.779225i
$55$	4.28133	+	0.109361i	0.577294	+	0.0147462i
$56$	−2.76982	+	12.2103i	−0.370133	+	1.63167i
$57$	−4.50496	+	4.72354i	−0.596696	+	0.625649i
$58$	5.30570	+	5.54439i	0.696672	+	0.728015i
$59$	5.82299	+	8.01466i	0.758089	+	1.04342i	0.997371	+	0.0724696i	$0.0230880\pi$
$59$	5.82299	+	8.01466i	0.758089	+	1.04342i	−0.239282	+	0.970950i	$0.576912\pi$
$60$	−6.73328	−	3.82922i	−0.869263	−	0.494350i
$61$	−3.18229	+	4.38005i	−0.407451	+	0.560808i	−0.962594	−	0.270946i	$-0.912663\pi$
$61$	−3.18229	+	4.38005i	−0.407451	+	0.560808i	0.555143	+	0.831755i	$0.312663\pi$
$62$	−8.12571	+	1.10438i	−1.03197	+	0.140256i
$63$	8.30572	+	10.3621i	1.04642	+	1.30551i
$64$	−7.21697	−	3.45186i	−0.902121	−	0.431483i
$65$	−1.46740	−	0.518573i	−0.182008	−	0.0643211i
$66$	2.75119	−	3.80014i	0.338648	−	0.467764i
$67$	−6.91020	−	2.24526i	−0.844216	−	0.274302i	−0.145194	−	0.989403i	$-0.546381\pi$
$67$	−6.91020	−	2.24526i	−0.844216	−	0.274302i	−0.699021	+	0.715101i	$0.746381\pi$
$68$	3.31548	+	5.01306i	0.402061	+	0.607922i
$69$	8.65803	−	4.67296i	1.04230	−	0.562558i
$70$	−12.1566	−	6.94060i	−1.45299	−	0.829561i
$71$	−3.80430	−	11.7084i	−0.451488	−	1.38954i	−0.875210	−	0.483744i	$-0.839277\pi$
$71$	−3.80430	−	11.7084i	−0.451488	−	1.38954i	0.423722	−	0.905792i	$-0.360723\pi$
$72$	−7.63087	+	3.71077i	−0.899307	+	0.437318i
$73$	−4.49568	+	6.18778i	−0.526180	+	0.724225i	−0.986542	−	0.163506i	$-0.947720\pi$
$73$	−4.49568	+	6.18778i	−0.526180	+	0.724225i	0.460362	+	0.887731i	$0.347720\pi$
$74$	−2.19257	+	4.07881i	−0.254881	+	0.474152i
$75$	6.28916	−	5.95369i	0.726210	−	0.687473i
$76$	−4.15778	−	6.28662i	−0.476930	−	0.721125i
$77$	4.98346	−	6.85915i	0.567918	−	0.781672i
$78$	−1.37759	+	1.00443i	−0.155981	+	0.113729i
$79$	8.54174	−	2.77538i	0.961021	−	0.312255i	0.213835	−	0.976870i	$-0.431404\pi$
$79$	8.54174	−	2.77538i	0.961021	−	0.312255i	0.747186	+	0.664615i	$0.231404\pi$
$80$	6.04317	−	6.59395i	0.675646	−	0.737226i
$81$	−1.95908	+	8.78419i	−0.217675	+	0.976021i
$82$	−2.31287	−	1.24329i	−0.255414	−	0.137298i
$83$	1.23412	−	3.79823i	0.135462	−	0.416910i	−0.860199	−	0.509958i	$-0.829661\pi$
$83$	1.23412	−	3.79823i	0.135462	−	0.416910i	0.995662	+	0.0930478i	$0.0296609\pi$
$84$	−13.8017	+	6.68277i	−1.50588	+	0.729150i
$85$	−6.44172	+	1.91262i	−0.698703	+	0.207453i
$86$	−5.20779	−	10.8018i	−0.561571	−	1.16479i
$87$	−1.25005	+	9.31523i	−0.134020	+	0.998697i
$88$	3.56966	+	4.07484i	0.380527	+	0.434379i
$89$	4.50569	−	6.20156i	0.477603	−	0.657364i	−0.500439	−	0.865772i	$-0.666828\pi$
$89$	4.50569	−	6.20156i	0.477603	−	0.657364i	0.978042	+	0.208408i	$0.0668282\pi$
$90$	−1.48247	−	9.37029i	−0.156266	−	0.987715i
$91$	−2.49260	+	1.81098i	−0.261296	+	0.189843i
$92$	3.03207	+	10.9485i	0.316115	+	1.14146i
$93$	−7.26794	−	6.93161i	−0.753651	−	0.718775i
$94$	−12.5630	+	12.0222i	−1.29578	+	1.23999i
$95$	8.07824	−	2.39852i	0.828810	−	0.246083i
$96$	−2.21330	−	9.54470i	−0.225894	−	0.974152i
$97$	−12.6891	+	4.12293i	−1.28838	+	0.418620i	−0.871524	−	0.490352i	$-0.836868\pi$
$97$	−12.6891	+	4.12293i	−1.28838	+	0.418620i	−0.416856	+	0.908973i	$0.636868\pi$
$98$	−16.0452	+	7.73574i	−1.62081	+	0.781427i
$99$	5.73943	−	0.272044i	0.576835	−	0.0273414i
$100$	5.08335	+	8.61160i	0.508335	+	0.861160i
$101$	4.71172			0.468834			0.234417	−	0.972136i	$-0.424682\pi$
$101$	4.71172			0.468834			0.234417	+	0.972136i	$0.424682\pi$
$102$	−2.26288	+	7.00458i	−0.224058	+	0.693556i
$103$	−2.32094	−	7.14313i	−0.228689	−	0.703833i	−0.997896	−	0.0648334i	$-0.979348\pi$
$103$	−2.32094	−	7.14313i	−0.228689	−	0.703833i	0.769207	−	0.639000i	$-0.220652\pi$
$104$	−0.776128	−	1.80917i	−0.0761056	−	0.177404i
$105$	−2.65054	−	16.9383i	−0.258666	−	1.65301i
$106$	3.56811	−	3.41450i	0.346566	−	0.331645i
$107$	11.3875			1.10088			0.550438	−	0.834876i	$-0.314461\pi$
$107$	11.3875			1.10088			0.550438	+	0.834876i	$0.314461\pi$
$108$	−9.38384	−	4.46581i	−0.902961	−	0.429723i
$109$	7.66115	+	10.5447i	0.733805	+	1.01000i	0.998951	+	0.0457883i	$0.0145800\pi$
$109$	7.66115	+	10.5447i	0.733805	+	1.01000i	−0.265146	+	0.964208i	$0.585420\pi$
$110$	−5.52110	+	2.49015i	−0.526417	+	0.237426i
$111$	−5.57911	+	1.01962i	−0.529546	+	0.0967778i
$112$	−3.97075	−	17.2557i	−0.375201	−	1.63051i
$113$	3.71839	−	2.70157i	0.349796	−	0.254142i	−0.398987	−	0.916956i	$-0.630638\pi$
$113$	3.71839	−	2.70157i	0.349796	−	0.254142i	0.748784	+	0.662815i	$0.230638\pi$
$114$	2.83776	−	8.78408i	0.265781	−	0.822705i
$115$	−12.6974	−	0.324339i	−1.18404	−	0.0302448i
$116$	−10.1641	−	3.80435i	−0.943710	−	0.353225i
$117$	−2.01417	−	0.550495i	−0.186210	−	0.0508933i
$118$	−12.3402	−	6.63349i	−1.13601	−	0.610662i
$119$	−4.11076	+	12.6516i	−0.376833	+	1.15977i
$120$	10.9292	+	0.742632i	0.997699	+	0.0677927i
$121$	2.26561	+	6.97282i	0.205964	+	0.633893i
$122$	1.36380	−	7.53417i	0.123472	−	0.682112i
$123$	−0.578169	−	3.16361i	−0.0521318	−	0.285253i
$124$	9.67299	−	6.39742i	0.868660	−	0.574505i
$125$	−10.8664	+	2.63093i	−0.971919	+	0.235317i
$126$	−16.9447	−	8.09911i	−1.50955	−	0.721526i
$127$	14.6384	+	10.6354i	1.29895	+	0.943742i	0.999945	−	0.0105091i	$-0.00334522\pi$
$127$	14.6384	+	10.6354i	1.29895	+	0.943742i	0.299005	+	0.954251i	$0.403345\pi$
$128$	11.3137	−	0.0351476i	0.999995	−	0.00310664i
$129$	6.35591	−	13.2402i	0.559607	−	1.16574i
$130$	2.18780	−	0.240626i	0.191882	−	0.0211043i
$131$	−13.1203	−	4.26303i	−1.14632	−	0.372463i	−0.326565	−	0.945175i	$-0.605891\pi$
$131$	−13.1203	−	4.26303i	−1.14632	−	0.372463i	−0.819757	+	0.572712i	$0.805891\pi$
$132$	−1.17078	+	6.53065i	−0.101903	+	0.568420i
$133$	5.15510	−	15.8658i	0.447004	−	1.37574i
$134$	10.1818	−	1.38382i	0.879574	−	0.119544i
$135$	7.83358	−	8.58108i	0.674207	−	0.738542i
$136$	−7.30242	−	4.34981i	−0.626178	−	0.372993i
$137$	3.24232	−	2.35568i	0.277010	−	0.201260i	−0.440602	−	0.897702i	$-0.645235\pi$
$137$	3.24232	−	2.35568i	0.277010	−	0.201260i	0.717612	+	0.696443i	$0.245235\pi$
$138$	−8.15939	+	11.2703i	−0.694573	+	0.959395i
$139$	−12.2981	−	8.93512i	−1.04311	−	0.757867i	−0.0722234	−	0.997388i	$-0.523009\pi$
$139$	−12.2981	−	8.93512i	−1.04311	−	0.757867i	−0.970891	+	0.239521i	$0.923009\pi$
$140$	19.7489	+	1.37536i	1.66908	+	0.116239i
$141$	−21.1074	−	2.83250i	−1.77756	−	0.238539i
$142$	12.0372	+	12.5788i	1.01014	+	1.05559i
$143$			1.33307i			0.111477i
$144$	7.44185	−	9.41376i	0.620154	−	0.784480i
$145$	7.38035	−	9.63105i	0.612905	−	0.799815i
$146$	1.92666	−	10.6437i	0.159452	−	0.880876i
$147$	−19.6672	−	9.44116i	−1.62213	−	0.778694i
$148$	0.288008	−	6.54256i	0.0236741	−	0.537795i
$149$	4.02193			0.329489			0.164745	−	0.986336i	$-0.447320\pi$
$149$	4.02193			0.329489			0.164745	+	0.986336i	$0.447320\pi$
$150$	−4.35512	+	11.4470i	−0.355594	+	0.934640i
$151$		−	19.8973i		−	1.61922i	−0.586969	−	0.809610i	$-0.699679\pi$
$151$		−	19.8973i		−	1.61922i	0.586969	−	0.809610i	$-0.300321\pi$
$152$	9.15760	+	5.45488i	0.742779	+	0.442449i
$153$	−8.43262	+	3.18873i	−0.681737	+	0.257794i
$154$	−2.13570	+	11.7985i	−0.172100	+	0.950749i
$155$	3.69052	+	12.4297i	0.296430	+	0.998377i
$156$	1.13800	−	2.12560i	0.0911132	−	0.170184i
$157$	0.634274			0.0506205			0.0253103	−	0.999680i	$-0.491943\pi$
$157$	0.634274			0.0506205			0.0253103	+	0.999680i	$0.491943\pi$
$158$	−9.17669	+	8.78161i	−0.730058	+	0.698627i
$159$	5.99484	+	0.804477i	0.475422	+	0.0637991i
$160$	−3.64852	+	12.1115i	−0.288441	+	0.957498i
$161$	−14.7798	+	20.3427i	−1.16481	+	1.60323i
$162$	−2.89933	−	12.3933i	−0.227793	−	0.973710i
$163$	−0.287136	−	0.395209i	−0.0224902	−	0.0309552i	0.797624	−	0.603155i	$-0.206090\pi$
$163$	−0.287136	−	0.395209i	−0.0224902	−	0.0309552i	−0.820114	+	0.572200i	$0.806090\pi$
$164$	3.70993	+	0.163314i	0.289697	+	0.0127527i
$165$	−6.60313	−	3.37992i	−0.514053	−	0.263126i
$166$	0.760626	+	5.59649i	0.0590360	+	0.434372i
$167$	−13.5040	−	4.38773i	−1.04497	−	0.339532i	−0.264279	−	0.964446i	$-0.585134\pi$
$167$	−13.5040	−	4.38773i	−1.04497	−	0.339532i	−0.780694	+	0.624914i	$0.785134\pi$
$168$	13.4774	−	16.9897i	1.03981	−	1.31078i
$169$	−3.86752	+	11.9030i	−0.297502	+	0.915616i
$170$	7.03137	−	6.39278i	0.539281	−	0.490304i
$171$	10.5749	−	3.99883i	0.808684	−	0.305798i
$172$	13.2683	+	10.5619i	1.01170	+	0.805335i
$173$	3.85874	−	5.31110i	0.293374	−	0.403795i	−0.636732	−	0.771085i	$-0.719714\pi$
$173$	3.85874	−	5.31110i	0.293374	−	0.403795i	0.930107	+	0.367290i	$0.119714\pi$
$174$	−4.12870	−	12.6343i	−0.312996	−	0.957805i
$175$	−7.90536	+	20.6734i	−0.597589	+	1.56277i
$176$	−7.04999	−	2.99852i	−0.531413	−	0.226022i
$177$	−3.08479	−	16.8793i	−0.231867	−	1.26872i
$178$	−1.93095	+	10.6674i	−0.144731	+	0.799552i
$179$	−18.7341	+	6.08707i	−1.40025	+	0.454969i	−0.909272	−	0.416202i	$-0.863361\pi$
$179$	−18.7341	+	6.08707i	−1.40025	+	0.454969i	−0.490979	+	0.871171i	$0.663361\pi$
$180$	7.64345	+	11.0262i	0.569709	+	0.821846i
$181$	8.93947	+	2.90461i	0.664466	+	0.215898i	0.621782	−	0.783191i	$-0.286409\pi$
$181$	8.93947	+	2.90461i	0.664466	+	0.215898i	0.0426840	+	0.999089i	$0.486409\pi$
$182$	2.06305	−	3.83787i	0.152924	−	0.284482i
$183$	8.25217	−	4.45390i	0.610018	−	0.329242i
$184$	−10.5868	−	12.0850i	−0.780468	−	0.890921i
$185$	6.90349	+	2.43967i	0.507554	+	0.179368i
$186$	13.5157	+	4.36636i	0.991023	+	0.320157i
$187$	3.38311	+	4.65645i	0.247398	+	0.340514i
$188$	8.62028	−	23.0308i	0.628698	−	1.67969i
$189$	−5.20186	−	22.4057i	−0.378380	−	1.62978i
$190$	−8.81768	+	8.01686i	−0.639702	+	0.581604i
$191$	−13.1273	+	9.53753i	−0.949857	+	0.690111i	−0.950773	−	0.309888i	$-0.899708\pi$
$191$	−13.1273	+	9.53753i	−0.949857	+	0.690111i	0.000916214		1.00000i	$0.499708\pi$
$192$	8.68156	+	10.7996i	0.626538	+	0.779391i
$193$		−	25.2967i		−	1.82090i	−0.413622	−	0.910449i	$-0.635736\pi$
$193$		−	25.2967i		−	1.82090i	0.413622	−	0.910449i	$-0.364264\pi$
$194$	13.6323	−	13.0454i	0.978743	−	0.936605i
$195$	1.90257	+	1.90965i	0.136246	+	0.136753i
$196$	15.6888	−	19.7090i	1.12063	−	1.40778i
$197$	2.24420	−	0.729184i	0.159893	−	0.0519522i	−0.227977	−	0.973667i	$-0.573211\pi$
$197$	2.24420	−	0.729184i	0.159893	−	0.0519522i	0.387870	+	0.921714i	$0.373211\pi$
$198$	−7.14432	+	3.87154i	−0.507725	+	0.275138i
$199$		−	0.272231i		−	0.0192980i	−0.999953	−	0.00964898i	$-0.996929\pi$
$199$		−	0.272231i		−	0.0192980i	0.999953	−	0.00964898i	$-0.00307141\pi$
$200$	−11.7646	−	7.84819i	−0.831883	−	0.554951i
$201$	9.10700	+	8.68556i	0.642358	+	0.612632i
$202$	−6.00222	+	2.89380i	−0.422314	+	0.203607i
$203$	−7.42281	−	22.8451i	−0.520979	−	1.60341i
$204$	−1.41934	−	10.3129i	−0.0993737	−	0.722044i
$205$	−1.38340	+	3.91459i	−0.0966210	+	0.273407i
$206$	7.34372	+	7.67411i	0.511661	+	0.534680i
$207$	−17.0218	+	0.806819i	−1.18310	+	0.0560778i
$208$	2.09984	+	1.82801i	0.145598	+	0.126750i
$209$	−4.24259	−	5.83942i	−0.293466	−	0.403921i
$210$	13.7795	+	19.9497i	0.950875	+	1.37666i
$211$	20.6480	+	15.0016i	1.42146	+	1.03275i	0.991528	+	0.129895i	$0.0414639\pi$
$211$	20.6480	+	15.0016i	1.42146	+	1.03275i	0.429936	+	0.902859i	$0.358536\pi$
$212$	−2.44830	+	6.54112i	−0.168150	+	0.449246i
$213$	−2.83605	+	21.1338i	−0.194323	+	1.44806i
$214$	−14.5065	+	6.99388i	−0.991642	+	0.478092i
$215$	−15.6190	+	10.7494i	−1.06520	+	0.733102i
$216$	14.6968	−	0.0743217i	0.999987	−	0.00505695i
$217$	24.4121	+	7.93196i	1.65720	+	0.538457i
$218$	−16.2357	−	8.72751i	−1.09962	−	0.591101i
$219$	11.6580	−	6.29211i	0.787774	−	0.425182i
$220$	5.50391	−	6.56307i	0.371073	−	0.442482i
$221$	−0.646343	−	1.98924i	−0.0434777	−	0.133811i
$222$	6.48095	−	4.72540i	0.434973	−	0.317148i
$223$	−13.8850	−	10.0881i	−0.929810	−	0.675546i	0.0161366	−	0.999870i	$-0.494863\pi$
$223$	−13.8850	−	10.0881i	−0.929810	−	0.675546i	−0.945946	+	0.324324i	$0.894863\pi$
$224$	15.6562	+	19.5432i	1.04608	+	1.30578i
$225$	−14.2830	+	4.58226i	−0.952197	+	0.305484i
$226$	−3.07759	+	5.72522i	−0.204719	+	0.380836i
$227$	−22.6287	−	16.4407i	−1.50192	−	1.09121i	−0.969610	−	0.244654i	$-0.921326\pi$
$227$	−22.6287	−	16.4407i	−1.50192	−	1.09121i	−0.532306	−	0.846552i	$-0.678674\pi$
$228$	1.77992	+	12.9328i	0.117878	+	0.856497i
$229$	−1.76339	+	0.572959i	−0.116528	+	0.0378622i	−0.366700	−	0.930339i	$-0.619513\pi$
$229$	−1.76339	+	0.572959i	−0.116528	+	0.0378622i	0.250173	+	0.968201i	$0.419513\pi$
$230$	16.3743	−	7.38521i	1.07969	−	0.486966i
$231$	−12.9229	+	6.97480i	−0.850262	+	0.458908i
$232$	15.2844	−	1.39614i	1.00347	−	0.0916611i
$233$	−1.01925	+	3.13693i	−0.0667733	+	0.205507i	−0.978876	−	0.204455i	$-0.934458\pi$
$233$	−1.01925	+	3.13693i	−0.0667733	+	0.205507i	0.912103	+	0.409962i	$0.134458\pi$
$234$	2.90393	−	0.535771i	0.189836	−	0.0350244i
$235$	21.8230	+	16.7231i	1.42358	+	1.09090i
$236$	19.7942	+	0.871352i	1.28849	+	0.0567202i
$237$	−15.4179	−	2.06900i	−1.00150	−	0.134396i
$238$	−2.53359	−	18.6415i	−0.164228	−	1.20835i
$239$	6.91969	+	5.02745i	0.447598	+	0.325199i	0.788647	−	0.614847i	$-0.210782\pi$
$239$	6.91969	+	5.02745i	0.447598	+	0.325199i	−0.341049	+	0.940046i	$0.610782\pi$
$240$	−14.3788	+	5.76638i	−0.928145	+	0.372218i
$241$	−18.8610	+	13.7033i	−1.21494	+	0.882709i	−0.995670	−	0.0929547i	$-0.970369\pi$
$241$	−18.8610	+	13.7033i	−1.21494	+	0.882709i	−0.219274	+	0.975663i	$0.570369\pi$
$242$	−7.16863	−	7.49114i	−0.460817	−	0.481549i
$243$	9.64338	−	12.2477i	0.618623	−	0.785688i
$244$	2.88993	+	10.4353i	0.185009	+	0.668052i
$245$	15.9673	+	23.2007i	1.02011	+	1.48224i
$246$	2.67952	+	3.67500i	0.170840	+	0.234309i
$247$	0.810546	+	2.49460i	0.0515738	+	0.158728i
$248$	−8.39322	+	14.0905i	−0.532970	+	0.894745i
$249$	−4.77407	+	5.00571i	−0.302544	+	0.317224i
$250$	12.2267	−	10.0253i	0.773287	−	0.634056i
$251$		−	8.20576i		−	0.517943i	−0.965885	−	0.258971i	$-0.916616\pi$
$251$		−	8.20576i		−	0.517943i	0.965885	−	0.258971i	$-0.0833835\pi$
$252$	26.5599	−	0.0895421i	1.67312	−	0.00564062i
$253$	3.36194	+	10.3470i	0.211363	+	0.650510i
$254$	−25.1797	−	4.55790i	−1.57992	−	0.285988i
$255$	11.4921	+	1.84205i	0.719664	+	0.115353i
$256$	−14.3908	+	6.99328i	−0.899423	+	0.437080i
$257$	17.0642			1.06444			0.532219	−	0.846607i	$-0.321358\pi$
$257$	17.0642			1.06444			0.532219	+	0.846607i	$0.321358\pi$
$258$	0.0350114	+	20.7702i	0.00217972	+	1.29310i
$259$	11.7266	−	8.51990i	0.728658	−	0.529401i
$260$	−2.63923	+	1.65021i	−0.163678	+	0.102342i
$261$	8.93432	−	13.6083i	0.553021	−	0.842333i
$262$	19.3320	−	2.62743i	1.19433	−	0.162323i
$263$	−10.2980	−	14.1739i	−0.634999	−	0.874002i	0.363337	−	0.931658i	$-0.381637\pi$
$263$	−10.2980	−	14.1739i	−0.634999	−	0.874002i	−0.998336	+	0.0576562i	$0.981637\pi$
$264$	−2.51948	−	9.03839i	−0.155064	−	0.556274i
$265$	−6.19809	−	4.74965i	−0.380746	−	0.291769i
$266$	3.17724	+	23.3774i	0.194809	+	1.43336i
$267$	−11.6839	+	6.30612i	−0.715046	+	0.385928i
$268$	−12.1206	+	8.01620i	−0.740384	+	0.489667i
$269$	−6.92477	+	21.3123i	−0.422211	+	1.29943i	0.483429	+	0.875384i	$0.339391\pi$
$269$	−6.92477	+	21.3123i	−0.422211	+	1.29943i	−0.905640	+	0.424048i	$0.860609\pi$
$270$	−4.70888	+	15.7425i	−0.286573	+	0.958058i
$271$	−8.85040	+	2.87567i	−0.537623	+	0.174684i	−0.565228	−	0.824934i	$-0.691212\pi$
$271$	−8.85040	+	2.87567i	−0.537623	+	0.174684i	0.0276049	+	0.999619i	$0.491212\pi$
$272$	11.9740	+	1.05625i	0.726031	+	0.0640449i
$273$	5.24955	−	0.959388i	0.317717	−	0.0580648i
$274$	−2.68357	+	4.99222i	−0.162120	+	0.301591i
$275$	5.22602	+	8.02479i	0.315141	+	0.483913i
$276$	3.47226	−	19.3684i	0.209006	−	1.16584i
$277$	−13.6916	−	9.94752i	−0.822647	−	0.597688i	0.0948221	−	0.995494i	$-0.469772\pi$
$277$	−13.6916	−	9.94752i	−0.822647	−	0.597688i	−0.917470	+	0.397806i	$0.869772\pi$
$278$	21.1542	+	3.82922i	1.26874	+	0.229661i
$279$	6.15285	+	16.2712i	0.368361	+	0.974134i
$280$	−26.0026	+	10.3771i	−1.55395	+	0.620149i
$281$	−24.6690	−	8.01544i	−1.47163	−	0.478161i	−0.540029	−	0.841646i	$-0.681587\pi$
$281$	−24.6690	−	8.01544i	−1.47163	−	0.478161i	−0.931600	+	0.363485i	$0.881587\pi$
$282$	28.6281	−	9.35521i	1.70478	−	0.557095i
$283$	−0.0310107	−	0.0100760i	−0.00184340	−	0.000598956i	0.308095	−	0.951356i	$-0.400308\pi$
$283$	−0.0310107	−	0.0100760i	−0.00184340	−	0.000598956i	−0.309939	+	0.950757i	$0.600308\pi$
$284$	−23.0596	−	8.63107i	−1.36834	−	0.512160i
$285$	−14.4117	−	2.31002i	−0.853674	−	0.136834i
$286$	−0.818731	−	1.69818i	−0.0484126	−	0.100416i
$287$	4.83117	+	6.64954i	0.285175	+	0.392510i
$288$	−3.69846	+	16.5627i	−0.217934	+	0.975964i
$289$	6.44723	+	4.68419i	0.379249	+	0.275540i
$290$	−3.48665	+	16.8017i	−0.204743	+	0.986629i
$291$	22.9039	+	3.07358i	1.34265	+	0.180176i
$292$	4.08266	+	14.7422i	0.238920	+	0.862719i
$293$		−	0.802410i		−	0.0468773i	−0.999725	−	0.0234386i	$-0.992539\pi$
$293$		−	0.802410i		−	0.0468773i	0.999725	−	0.0234386i	$-0.00746144\pi$
$294$	30.8524	−	0.0520065i	1.79935	−	0.00303308i
$295$	−7.38108	+	20.8861i	−0.429743	+	1.21604i
$296$	3.65135	+	8.51139i	0.212231	+	0.494715i
$297$	−9.16579	−	3.87732i	−0.531853	−	0.224985i
$298$	−5.12350	+	2.47015i	−0.296796	+	0.143092i
$299$		−	3.95358i		−	0.228641i
$300$	−1.48243	−	17.2570i	−0.0855881	−	0.996331i
$301$			37.5356i			2.16351i
$302$	12.2203	+	25.3470i	0.703200	+	1.45855i
$303$	−7.35715	−	3.53177i	−0.422657	−	0.202895i
$304$	−15.0160	−	1.32460i	−0.861226	−	0.0759708i
$305$	−12.1022	−	0.309135i	−0.692971	−	0.0177010i
$306$	8.78381	−	9.24115i	0.502137	−	0.528281i
$307$			0.0926652i			0.00528868i	0.999997	+	0.00264434i	$0.000841721\pi$
$307$			0.0926652i			0.00528868i	−0.999997	+	0.00264434i	$0.999158\pi$
$308$	−4.52563	−	16.3417i	−0.257871	−	0.931153i
$309$	−1.73023	+	12.8934i	−0.0984291	+	0.733479i
$310$	−12.3353	−	13.5674i	−0.700595	−	0.770579i
$311$	−1.68241	−	1.22234i	−0.0954005	−	0.0693125i	0.539062	−	0.842266i	$-0.318779\pi$
$311$	−1.68241	−	1.22234i	−0.0954005	−	0.0693125i	−0.634463	+	0.772953i	$0.718779\pi$
$312$	−0.144212	+	3.40671i	−0.00816442	+	0.192867i
$313$	−7.75259	−	10.6705i	−0.438202	−	0.603134i	0.531609	−	0.846990i	$-0.321587\pi$
$313$	−7.75259	−	10.6705i	−0.438202	−	0.603134i	−0.969811	+	0.243856i	$0.921587\pi$
$314$	−0.807995	+	0.389552i	−0.0455978	+	0.0219837i
$315$	−8.55774	+	28.4352i	−0.482174	+	1.60214i
$316$	6.29669	−	16.8228i	0.354216	−	0.946359i
$317$	12.7665	+	4.14809i	0.717038	+	0.232980i	0.644738	−	0.764403i	$-0.276966\pi$
$317$	12.7665	+	4.14809i	0.717038	+	0.232980i	0.0722995	+	0.997383i	$0.476966\pi$
$318$	−8.13085	+	2.65704i	−0.455956	+	0.148999i
$319$	−9.88439	−	3.21163i	−0.553419	−	0.179817i
$320$	−2.79069	−	17.6695i	−0.156004	−	0.987756i
$321$	−17.7811	−	8.53576i	−0.992447	−	0.476420i
$322$	6.33400	−	34.9916i	0.352980	−	1.95001i
$323$	9.16216	+	6.65670i	0.509796	+	0.370388i
$324$	11.3050	+	14.0070i	0.628057	+	0.778168i
$325$	−0.905023	−	3.36033i	−0.0502016	−	0.186398i
$326$	0.608505	+	0.327102i	0.0337020	+	0.0181165i
$327$	−4.05858	−	22.2076i	−0.224440	−	1.22808i
$328$	−4.82635	+	2.07048i	−0.266490	+	0.114323i
$329$	51.7646	−	16.8193i	2.85388	−	0.927280i
$330$	10.4875	+	0.250200i	0.577318	+	0.0137731i
$331$	5.94528	−	18.2977i	0.326782	−	1.00573i	−0.643847	−	0.765154i	$-0.722663\pi$
$331$	5.94528	−	18.2977i	0.326782	−	1.00573i	0.970630	−	0.240578i	$-0.0773371\pi$
$332$	−4.40615	−	6.66216i	−0.241819	−	0.365633i
$333$	9.47581	+	2.58985i	0.519271	+	0.141923i
$334$	19.8975	−	2.70429i	1.08874	−	0.147972i
$335$	−4.62436	−	15.5748i	−0.252656	−	0.850945i
$336$	−6.73423	+	29.9204i	−0.367382	+	1.63229i
$337$	−5.53279	−	7.61524i	−0.301390	−	0.414828i	0.631282	−	0.775554i	$-0.282529\pi$
$337$	−5.53279	−	7.61524i	−0.301390	−	0.414828i	−0.932672	+	0.360725i	$0.882529\pi$
$338$	−2.38367	−	17.5384i	−0.129655	−	0.953965i
$339$	−7.83111	+	1.43118i	−0.425327	+	0.0777313i
$340$	−5.03094	+	12.4622i	−0.272841	+	0.675855i
$341$	8.98491	−	6.52792i	0.486560	−	0.353506i
$342$	−11.0153	+	11.5889i	−0.595641	+	0.626654i
$343$	24.7692			1.33741
$344$	−23.3892	−	5.30567i	−1.26106	−	0.286062i
$345$	19.5834	+	10.0241i	1.05433	+	0.539677i
$346$	−1.65369	+	9.13567i	−0.0889031	+	0.491137i
$347$	9.28059	+	28.5627i	0.498208	+	1.53333i	0.811897	+	0.583801i	$0.198435\pi$
$347$	9.28059	+	28.5627i	0.498208	+	1.53333i	−0.313689	+	0.949526i	$0.601565\pi$
$348$	13.0191	+	13.5590i	0.697898	+	0.726839i
$349$		−	16.0292i		−	0.858023i	−0.903299	−	0.429012i	$-0.858862\pi$
$349$		−	16.0292i		−	0.858023i	0.903299	−	0.429012i	$-0.141138\pi$
$350$	−2.62645	−	31.1909i	−0.140389	−	1.66722i
$351$	2.73240	+	2.36933i	0.145845	+	0.126466i
$352$	10.8225	−	0.510106i	0.576842	−	0.0271887i
$353$	−3.37063	−	10.3737i	−0.179401	−	0.552139i	0.820406	−	0.571781i	$-0.193747\pi$
$353$	−3.37063	−	10.3737i	−0.179401	−	0.552139i	−0.999807	+	0.0196422i	$0.993747\pi$
$354$	14.2964	+	19.6078i	0.759847	+	1.04214i
$355$	16.7441	−	21.8503i	0.888683	−	1.15970i
$356$	−4.09175	−	14.7750i	−0.216862	−	0.783072i
$357$	15.9021	−	16.6737i	0.841626	−	0.882464i
$358$	20.1267	−	19.2602i	1.06373	−	1.01793i
$359$	22.0385	−	16.0119i	1.16315	−	0.845076i	0.172975	−	0.984926i	$-0.444662\pi$
$359$	22.0385	−	16.0119i	1.16315	−	0.845076i	0.990173	+	0.139850i	$0.0446620\pi$
$360$	−16.5089	−	9.35183i	−0.870095	−	0.492885i
$361$	3.88153	+	2.82010i	0.204291	+	0.148426i
$362$	−13.1718	+	1.79020i	−0.692296	+	0.0940907i
$363$	1.68897	−	12.5860i	0.0886481	−	0.660593i
$364$	−0.270995	+	6.15609i	−0.0142040	+	0.322667i
$365$	−17.0970	−	0.436721i	−0.894899	−	0.0228590i
$366$	−7.77690	+	10.7420i	−0.406505	+	0.561494i
$367$	10.2871	−	31.6605i	0.536983	−	1.65266i	−0.202341	−	0.979315i	$-0.564855\pi$
$367$	10.2871	−	31.6605i	0.536983	−	1.65266i	0.739324	−	0.673350i	$-0.235145\pi$
$368$	20.9087	+	8.89292i	1.08994	+	0.463576i
$369$	−1.46856	+	5.37321i	−0.0764502	+	0.279718i
$370$	−10.2927	+	1.13204i	−0.535090	+	0.0588522i
$371$	−14.7020	+	4.77697i	−0.763290	+	0.248008i
$372$	−19.8993	+	2.73870i	−1.03173	+	0.141995i
$373$	−22.5138	−	16.3572i	−1.16572	−	0.846945i	−0.175229	−	0.984528i	$-0.556067\pi$
$373$	−22.5138	−	16.3572i	−1.16572	−	0.846945i	−0.990490	+	0.137583i	$0.956067\pi$
$374$	−7.16957	−	3.85401i	−0.370729	−	0.199286i
$375$	18.9394	+	4.03704i	0.978028	+	0.208472i
$376$	3.16351	+	34.6330i	0.163146	+	1.78606i
$377$	3.05551	+	2.21996i	0.157367	+	0.114334i
$378$	20.3875	+	25.3476i	1.04862	+	1.30374i
$379$	−5.94690	−	18.3027i	−0.305472	−	0.940146i	−0.979501	−	0.201441i	$-0.935438\pi$
$379$	−5.94690	−	18.3027i	−0.305472	−	0.940146i	0.674029	−	0.738705i	$-0.264562\pi$
$380$	6.30905	−	15.6282i	0.323647	−	0.801708i
$381$	−14.8852	−	27.5793i	−0.762594	−	1.41293i
$382$	10.8651	−	20.2121i	0.555904	−	1.03414i
$383$	−18.9914	−	6.17068i	−0.970415	−	0.315307i	−0.219432	−	0.975628i	$-0.570420\pi$
$383$	−18.9914	−	6.17068i	−0.970415	−	0.315307i	−0.750984	+	0.660321i	$0.770420\pi$
$384$	−17.6921	−	8.42550i	−0.902847	−	0.429962i
$385$	18.9520	+	0.484104i	0.965885	+	0.0246722i
$386$	15.5365	+	32.2252i	0.790786	+	1.64022i
$387$	−19.8489	+	15.9098i	−1.00898	+	0.808741i
$388$	−9.35397	+	24.9910i	−0.474876	+	1.26872i
$389$	1.64980	+	1.19865i	0.0836480	+	0.0607738i	0.628823	−	0.777548i	$-0.283537\pi$
$389$	1.64980	+	1.19865i	0.0836480	+	0.0607738i	−0.545175	+	0.838322i	$0.683537\pi$
$390$	−3.59651	−	1.26418i	−0.182117	−	0.0640142i
$391$	−10.0335	−	13.8100i	−0.507418	−	0.698401i
$392$	−7.88112	+	34.7426i	−0.398057	+	1.75477i
$393$	17.2913	+	16.4911i	0.872229	+	0.831865i
$394$	−2.41102	+	2.30722i	−0.121465	+	0.116236i
$395$	15.9406	+	12.2154i	0.802060	+	0.614625i
$396$	6.72330	−	9.31974i	0.337859	−	0.468335i
$397$	−2.18128	−	6.71328i	−0.109475	−	0.336930i	0.881280	−	0.472595i	$-0.156683\pi$
$397$	−2.18128	−	6.71328i	−0.109475	−	0.336930i	−0.990755	+	0.135665i	$0.956683\pi$
$398$	0.167196	+	0.346793i	0.00838079	+	0.0173831i
$399$	−19.9420	+	20.9096i	−0.998347	+	1.04679i
$400$	19.8069	+	2.77226i	0.990347	+	0.138613i
$401$		−	11.5875i		−	0.578652i	−0.957231	−	0.289326i	$-0.906569\pi$
$401$		−	11.5875i		−	0.578652i	0.957231	−	0.289326i	$-0.0934311\pi$
$402$	−16.9357	−	5.47120i	−0.844677	−	0.272879i
$403$	−3.83836	+	1.24716i	−0.191202	+	0.0621253i
$404$	5.86888	−	7.37276i	0.291988	−	0.366808i
$405$	−18.6639	+	7.52717i	−0.927417	+	0.374028i
$406$	23.4866	+	24.5432i	1.16562	+	1.21806i
$407$		−	6.27153i		−	0.310868i
$408$	8.14192	+	12.2657i	0.403085	+	0.607244i
$409$	−14.2531	+	10.3554i	−0.704768	+	0.512044i	−0.881482	−	0.472218i	$-0.843453\pi$
$409$	−14.2531	+	10.3554i	−0.704768	+	0.512044i	0.176714	+	0.984262i	$0.443453\pi$
$410$	−0.641921	−	5.83640i	−0.0317022	−	0.288239i
$411$	−6.82849	+	1.24795i	−0.336824	+	0.0615568i
$412$	−14.0683	−	5.26568i	−0.693095	−	0.259421i
$413$	25.7765	+	35.4783i	1.26838	+	1.74577i
$414$	21.1884	−	11.4821i	1.04135	−	0.564314i
$415$	8.56080	−	2.54180i	0.420233	−	0.124772i
$416$	−3.79768	−	1.03903i	−0.186196	−	0.0509426i
$417$	12.5055	+	23.1701i	0.612397	+	1.13465i
$418$	8.99099	+	4.83311i	0.439764	+	0.236395i
$419$	−24.7087	−	8.02836i	−1.20710	−	0.392211i	−0.364732	−	0.931112i	$-0.618839\pi$
$419$	−24.7087	−	8.02836i	−1.20710	−	0.392211i	−0.842369	+	0.538902i	$0.818839\pi$
$420$	−29.8060	−	16.9507i	−1.45439	−	0.827110i
$421$	34.5125	−	11.2138i	1.68203	−	0.546526i	0.696730	−	0.717334i	$-0.254638\pi$
$421$	34.5125	−	11.2138i	1.68203	−	0.546526i	0.985304	+	0.170808i	$0.0546377\pi$
$422$	−35.5168	−	6.42906i	−1.72893	−	0.312962i
$423$	30.8351	+	20.2443i	1.49925	+	0.984310i
$424$	−0.898490	−	9.83634i	−0.0436346	−	0.477695i
$425$	−11.6892	−	9.44094i	−0.567011	−	0.457953i
$426$	−9.36693	−	28.6640i	−0.453829	−	1.38877i
$427$	−14.0870	+	19.3891i	−0.681716	+	0.938302i
$428$	14.1842	−	17.8189i	0.685620	−	0.861308i
$429$	0.999230	−	2.08153i	0.0482433	−	0.100497i
$430$	13.2949	−	23.2862i	0.641137	−	1.12296i
$431$	7.95366	−	24.4788i	0.383114	−	1.17910i	−0.554725	−	0.832034i	$-0.687176\pi$
$431$	7.95366	−	24.4788i	0.383114	−	1.17910i	0.937839	−	0.347071i	$-0.112824\pi$
$432$	−18.6764	+	9.12098i	−0.898569	+	0.438833i
$433$	−28.7391	−	9.33790i	−1.38111	−	0.448751i	−0.478078	−	0.878317i	$-0.658666\pi$
$433$	−28.7391	−	9.33790i	−1.38111	−	0.448751i	−0.903035	+	0.429566i	$0.858666\pi$
$434$	−35.9699	+	4.88871i	−1.72661	+	0.234665i
$435$	−18.7432	+	9.50637i	−0.898670	+	0.455796i
$436$	26.0426	+	1.14642i	1.24722	+	0.0549033i
$437$	12.5825	+	17.3184i	0.601905	+	0.828451i
$438$	−10.9866	+	15.1754i	−0.524959	+	0.725111i
$439$	−2.17114	+	2.98832i	−0.103623	+	0.142625i	−0.857679	−	0.514185i	$-0.828095\pi$
$439$	−2.17114	+	2.98832i	−0.103623	+	0.142625i	0.754056	+	0.656810i	$0.228095\pi$
$440$	−2.98053	+	11.7410i	−0.142091	+	0.559728i
$441$	23.6327	+	29.4839i	1.12537	+	1.40400i
$442$	2.04510	+	2.13711i	0.0972755	+	0.101652i
$443$	3.25819			0.154801			0.0774007	−	0.997000i	$-0.475338\pi$
$443$	3.25819			0.154801			0.0774007	+	0.997000i	$0.475338\pi$
$444$	−5.35382	+	10.0000i	−0.254081	+	0.474581i
$445$	17.1351	+	0.437693i	0.812281	+	0.0207486i
$446$	23.8838	+	4.32332i	1.13093	+	0.204715i
$447$	−6.28007	−	3.01472i	−0.297037	−	0.142591i
$448$	−31.9472	−	15.2803i	−1.50936	−	0.721925i
$449$			1.94261i			0.0916776i	0.998949	+	0.0458388i	$0.0145961\pi$
$449$			1.94261i			0.0916776i	−0.998949	+	0.0458388i	$0.985404\pi$
$450$	15.3806	−	14.6095i	0.725050	−	0.688696i
$451$	3.55624			0.167457
$452$	0.404262	−	9.18346i	0.0190149	−	0.431954i
$453$	−14.9144	+	31.0688i	−0.700741	+	1.45974i
$454$	38.9238	+	7.04578i	1.82678	+	0.330675i
$455$	−6.49570	−	2.29556i	−0.304523	−	0.107617i
$456$	−10.2104	−	15.3818i	−0.478145	−	0.720320i
$457$			5.47722i			0.256213i	0.991760	+	0.128107i	$0.0408900\pi$
$457$			5.47722i			0.256213i	−0.991760	+	0.128107i	$0.959110\pi$
$458$	1.89446	−	1.81290i	0.0885225	−	0.0847114i
$459$	15.5573	+	1.34178i	0.726154	+	0.0626287i
$460$	−16.3233	+	19.4646i	−0.761079	+	0.907540i
$461$	7.74713	+	5.62862i	0.360820	+	0.262151i	0.753394	−	0.657569i	$-0.228415\pi$
$461$	7.74713	+	5.62862i	0.360820	+	0.262151i	−0.392574	+	0.919720i	$0.628415\pi$
$462$	12.1786	−	16.8220i	0.566600	−	0.782629i
$463$	11.9583	−	8.68823i	0.555750	−	0.403776i	−0.274151	−	0.961687i	$-0.588397\pi$
$463$	11.9583	−	8.68823i	0.555750	−	0.403776i	0.829901	+	0.557911i	$0.188397\pi$
$464$	−18.6132	+	11.1658i	−0.864096	+	0.518357i
$465$	3.55434	−	22.1747i	0.164828	−	1.02833i
$466$	−0.628194	−	4.62210i	−0.0291005	−	0.214114i
$467$	−4.29349	+	13.2140i	−0.198679	+	0.611471i	0.801235	+	0.598350i	$0.204177\pi$
$467$	−4.29349	+	13.2140i	−0.198679	+	0.611471i	−0.999914	+	0.0131210i	$0.995823\pi$
$468$	−3.37023	+	2.46602i	−0.155789	+	0.113992i
$469$	−30.5892	−	9.93904i	−1.41248	−	0.458942i
$470$	−38.0709	−	7.90041i	−1.75608	−	0.364419i
$471$	−0.990390	−	0.475433i	−0.0456348	−	0.0219068i
$472$	−25.7507	+	11.0470i	−1.18527	+	0.508478i
$473$	13.1389	+	9.54595i	0.604126	+	0.438923i
$474$	20.9114	−	6.83353i	0.960493	−	0.313874i
$475$	14.6589	+	11.8394i	0.672596	+	0.543229i
$476$	14.6766	+	22.1912i	0.672699	+	1.01713i
$477$	−8.75767	−	5.74971i	−0.400986	−	0.263261i
$478$	−11.9026	−	2.15455i	−0.544414	−	0.0985470i
$479$	−3.20189	−	9.85440i	−0.146298	−	0.450259i	0.850878	−	0.525364i	$-0.176071\pi$
$479$	−3.20189	−	9.85440i	−0.146298	−	0.450259i	−0.997176	+	0.0751049i	$0.976071\pi$
$480$	14.7754	−	16.1767i	0.674403	−	0.738364i
$481$	−0.704269	+	2.16752i	−0.0321119	+	0.0988303i
$482$	15.6107	−	29.0404i	0.711047	−	1.32275i
$483$	38.3263	−	20.6857i	1.74391	−	0.941230i
$484$	13.7329	+	5.14013i	0.624222	+	0.233642i
$485$	−23.6804	−	18.1465i	−1.07527	−	0.823989i
$486$	−4.76247	+	21.5248i	−0.216030	+	0.976387i
$487$	−15.2716	+	11.0955i	−0.692022	+	0.502783i	−0.877324	−	0.479898i	$-0.840674\pi$
$487$	−15.2716	+	11.0955i	−0.692022	+	0.502783i	0.185302	+	0.982682i	$0.440674\pi$
$488$	−10.0905	−	11.5185i	−0.456776	−	0.521419i
$489$	0.152114	+	0.832330i	0.00687881	+	0.0376393i
$490$	−34.5897	−	19.7484i	−1.56260	−	0.892144i
$491$	−19.4733	−	26.8027i	−0.878818	−	1.20959i	−0.976747	−	0.214396i	$-0.931222\pi$
$491$	−19.4733	−	26.8027i	−0.878818	−	1.20959i	0.0979284	−	0.995193i	$-0.468778\pi$
$492$	−5.67048	−	3.03586i	−0.255645	−	0.136867i
$493$	16.3069			0.734425
$494$	−2.56466	−	2.68004i	−0.115389	−	0.120581i
$495$	7.77701	+	10.2271i	0.349551	+	0.459674i
$496$	2.03811	−	23.1046i	0.0915137	−	1.03743i
$497$	−16.8404	−	51.8294i	−0.755395	−	2.32487i
$498$	3.00728	−	9.30881i	0.134759	−	0.417138i
$499$	−41.8319			−1.87265			−0.936326	−	0.351133i	$-0.885796\pi$
$499$	−41.8319			−1.87265			−0.936326	+	0.351133i	$0.885796\pi$
$500$	−9.41827	+	20.2804i	−0.421198	+	0.906969i
$501$	17.7970	+	16.9735i	0.795113	+	0.758318i
$502$	5.03973	+	10.4532i	0.224934	+	0.466551i
$503$	6.43150	−	2.08972i	0.286766	−	0.0931761i	−0.162102	−	0.986774i	$-0.551827\pi$
$503$	6.43150	−	2.08972i	0.286766	−	0.0931761i	0.448868	+	0.893598i	$0.351827\pi$
$504$	−33.7794	+	16.4263i	−1.50465	+	0.731688i
$505$	5.97308	+	8.67894i	0.265798	+	0.386208i
$506$	−10.6375	−	11.1161i	−0.472897	−	0.494172i
$507$	14.9611	−	15.6870i	0.664446	−	0.696686i
$508$	34.8755	−	9.65835i	1.54735	−	0.428520i
$509$	18.9357	−	13.7576i	0.839310	−	0.609794i	−0.0828682	−	0.996561i	$-0.526408\pi$
$509$	18.9357	−	13.7576i	0.839310	−	0.609794i	0.922178	+	0.386766i	$0.126408\pi$
$510$	−15.7710	+	4.71154i	−0.698352	+	0.208631i
$511$	−19.9009	+	27.3913i	−0.880365	+	1.21172i
$512$	14.0372	−	17.7470i	0.620362	−	0.784316i
$513$	−19.5097	−	1.68265i	−0.861373	−	0.0742910i
$514$	−21.7380	+	10.4803i	−0.958821	+	0.462268i
$515$	10.2153	−	13.3305i	0.450140	−	0.587413i
$516$	−12.8010	−	26.4374i	−0.563533	−	1.16384i
$517$	7.27724	−	22.3970i	0.320052	−	0.985020i
$518$	−9.70578	+	18.0556i	−0.426448	+	0.793316i
$519$	−10.0063	+	5.40065i	−0.439227	+	0.237062i
$520$	2.34858	−	3.72312i	0.102992	−	0.163270i
$521$	27.0061	−	8.77482i	1.18316	−	0.384432i	0.349620	−	0.936892i	$-0.386311\pi$
$521$	27.0061	−	8.77482i	1.18316	−	0.384432i	0.833540	+	0.552460i	$0.186311\pi$
$522$	−3.02353	+	22.8227i	−0.132336	+	0.998922i
$523$	−14.0914	+	19.3951i	−0.616173	+	0.848090i	−0.997067	−	0.0765287i	$-0.975616\pi$
$523$	−14.0914	+	19.3951i	−0.616173	+	0.848090i	0.380894	+	0.924619i	$0.375616\pi$
$524$	−23.0131	+	15.2202i	−1.00533	+	0.664897i
$525$	27.8401	−	26.3550i	1.21504	−	1.15023i
$526$	21.8237	+	11.7313i	0.951557	+	0.511510i
$527$	−10.2424	+	14.0975i	−0.446167	+	0.614096i
$528$	8.76065	+	9.96652i	0.381258	+	0.433737i
$529$	−2.86335	−	8.81249i	−0.124494	−	0.383152i
$530$	10.8128	+	2.24385i	0.469677	+	0.0974665i
$531$	−7.83543	+	28.6685i	−0.340029	+	1.24411i
$532$	−18.4051	−	27.8288i	−0.797963	−	1.20653i
$533$	−1.22908	−	0.399353i	−0.0532374	−	0.0172979i
$534$	11.0110	−	15.2092i	0.476494	−	0.658168i
$535$	14.4361	+	20.9757i	0.624125	+	0.906860i
$536$	10.5170	−	17.6559i	0.454266	−	0.762617i
$537$	33.8151	+	4.53782i	1.45923	+	0.195821i
$538$	−4.26795	−	31.4025i	−0.184004	−	1.35386i
$539$	14.1797	−	19.5167i	0.610763	−	0.840643i
$540$	−3.66998	−	22.9463i	−0.157931	−	0.987450i
$541$	7.91175	+	10.8896i	0.340153	+	0.468180i	0.944486	−	0.328552i	$-0.106561\pi$
$541$	7.91175	+	10.8896i	0.340153	+	0.468180i	−0.604333	+	0.796732i	$0.706561\pi$
$542$	9.50829	−	9.09893i	0.408416	−	0.390833i
$543$	−11.7814	−	11.2362i	−0.505587	−	0.482191i
$544$	−15.9023	+	6.00852i	−0.681805	+	0.257613i
$545$	−9.71109	+	27.4793i	−0.415977	+	1.17708i
$546$	−6.09812	+	4.44627i	−0.260975	+	0.190283i
$547$	−36.0486	+	11.7129i	−1.54133	+	0.500807i	−0.951742	−	0.306899i	$-0.900709\pi$
$547$	−36.0486	+	11.7129i	−1.54133	+	0.500807i	−0.589585	+	0.807707i	$0.700709\pi$
$548$	0.352504	−	8.00770i	0.0150582	−	0.342072i
$549$	−16.2239	+	0.768998i	−0.692420	+	0.0328200i
$550$	−11.5860	−	7.01304i	−0.494027	−	0.299037i
$551$	−20.4496			−0.871184
$552$	7.47221	+	26.8058i	0.318038	+	1.14093i
$553$	37.8115	−	12.2857i	1.60791	−	0.522441i
$554$	23.5510	+	4.26309i	1.00059	+	0.181121i
$555$	−8.95079	−	8.98408i	−0.379940	−	0.381353i
$556$	−29.2999	+	8.11424i	−1.24259	+	0.344120i
$557$			0.0131183i			0.000555842i	1.00000		0.000277921i	$8.84650e-5\pi$
$557$			0.0131183i			0.000555842i	−1.00000		0.000277921i	$0.999912\pi$
$558$	−17.8314	−	16.9489i	−0.754861	−	0.717503i
$559$	−3.46898	−	4.77464i	−0.146722	−	0.201946i
$560$	26.7511	−	29.1893i	1.13044	−	1.23347i
$561$	−1.79224	−	9.80673i	−0.0756685	−	0.414040i
$562$	36.3484	−	4.94016i	1.53327	−	0.208388i
$563$	−7.42985	+	5.39810i	−0.313131	+	0.227503i	−0.733239	−	0.679971i	$-0.761992\pi$
$563$	−7.42985	+	5.39810i	−0.313131	+	0.227503i	0.420108	+	0.907474i	$0.361992\pi$
$564$	−30.7234	+	29.5000i	−1.29369	+	1.24218i
$565$	9.69007	+	3.42444i	0.407664	+	0.144067i
$566$	0.0456926	−	0.00621014i	0.00192060	−	0.000261032i
$567$	−8.67220	+	38.8847i	−0.364198	+	1.63301i
$568$	34.6763	−	3.16748i	1.45499	−	0.132904i
$569$	−3.18321	−	1.03429i	−0.133447	−	0.0433596i	0.241532	−	0.970393i	$-0.422350\pi$
$569$	−3.18321	−	1.03429i	−0.133447	−	0.0433596i	−0.374979	+	0.927033i	$0.622350\pi$
$570$	19.7776	−	5.90851i	0.828394	−	0.247480i
$571$	4.66987	+	14.3724i	0.195428	+	0.601465i	0.999971	+	0.00757126i	$0.00241003\pi$
$571$	4.66987	+	14.3724i	0.195428	+	0.601465i	−0.804544	+	0.593894i	$0.797590\pi$
$572$	2.08595	+	1.66046i	0.0872178	+	0.0694273i
$573$	27.6467	−	5.05261i	1.15496	−	0.211076i
$574$	−10.2383	−	5.50362i	−0.427340	−	0.229717i
$575$	−15.4992	−	23.7997i	−0.646360	−	0.992516i
$576$	−5.46085	−	23.3705i	−0.227535	−	0.973770i
$577$	1.98009	−	2.72536i	0.0824321	−	0.113458i	−0.765810	−	0.643067i	$-0.777661\pi$
$577$	1.98009	−	2.72536i	0.0824321	−	0.113458i	0.848242	+	0.529609i	$0.177661\pi$
$578$	−11.0899	−	2.00745i	−0.461281	−	0.0834987i
$579$	−18.9617	+	39.4997i	−0.788020	+	1.64155i
$580$	−5.87748	−	23.5449i	−0.244049	−	0.977649i
$581$	5.46305	−	16.8135i	0.226645	−	0.697543i
$582$	−31.0647	+	10.1515i	−1.28767	+	0.420791i
$583$	−2.06686	+	6.36113i	−0.0856004	+	0.263451i
$584$	−14.2550	−	16.2724i	−0.589878	−	0.673358i
$585$	−1.53937	−	4.40794i	−0.0636450	−	0.182246i
$586$	0.492816	+	1.02218i	0.0203580	+	0.0422260i
$587$	−2.99670	+	2.17723i	−0.123687	+	0.0898638i	−0.647909	−	0.761718i	$-0.724356\pi$
$587$	−2.99670	+	2.17723i	−0.123687	+	0.0898638i	0.524222	+	0.851582i	$0.324356\pi$
$588$	−39.2706	+	19.0148i	−1.61949	+	0.784158i
$589$	12.8445	−	17.6789i	0.529248	−	0.728447i
$590$	−3.42494	−	31.1398i	−0.141002	−	1.28201i
$591$	−4.05079	−	0.543595i	−0.166627	−	0.0223605i
$592$	−9.87886	−	8.60003i	−0.406019	−	0.353459i
$593$	−39.5238			−1.62305			−0.811525	−	0.584318i	$-0.801362\pi$
$593$	−39.5238			−1.62305			−0.811525	+	0.584318i	$0.801362\pi$
$594$	14.0575	−	0.690065i	0.576788	−	0.0283137i
$595$	−28.5154	+	8.46656i	−1.16902	+	0.347095i
$596$	5.00968	−	6.29339i	0.205205	−	0.257787i
$597$	−0.204056	+	0.425077i	−0.00835147	+	0.0173972i
$598$	2.42817	+	5.03643i	0.0992952	+	0.205955i
$599$	−17.5406			−0.716689			−0.358345	−	0.933589i	$-0.616659\pi$
$599$	−17.5406			−0.716689			−0.358345	+	0.933589i	$0.616659\pi$
$600$	12.4871	+	21.0730i	0.509786	+	0.860301i
$601$	−44.8658			−1.83011			−0.915057	−	0.403326i	$-0.867854\pi$
$601$	−44.8658			−1.83011			−0.915057	+	0.403326i	$0.867854\pi$
$602$	−23.0532	−	47.8162i	−0.939578	−	1.94884i
$603$	−7.70974	−	20.3884i	−0.313965	−	0.830282i
$604$	−31.1347	−	24.7839i	−1.26685	−	1.00844i
$605$	−9.97174	+	13.0127i	−0.405409	+	0.529042i
$606$	11.5413	−	0.0194547i	0.468833	−	0.000790293i
$607$	−8.47094			−0.343825			−0.171912	−	0.985112i	$-0.554995\pi$
$607$	−8.47094			−0.343825			−0.171912	+	0.985112i	$0.554995\pi$
$608$	19.9423	−	7.53498i	0.808765	−	0.305584i
$609$	−5.53358	+	41.2355i	−0.224232	+	1.67095i
$610$	15.6068	−	7.03901i	0.631899	−	0.285001i
$611$	−5.03021	+	6.92348i	−0.203500	+	0.280094i
$612$	−5.51397	+	17.1670i	−0.222889	+	0.693933i
$613$	0.137936	−	0.100216i	0.00557118	−	0.00404770i	−0.584996	−	0.811036i	$-0.698904\pi$
$613$	0.137936	−	0.100216i	0.00557118	−	0.00404770i	0.590567	+	0.806988i	$0.298904\pi$
$614$	−0.0569122	−	0.118045i	−0.00229679	−	0.00476392i
$615$	5.09438	−	5.07551i	0.205425	−	0.204664i
$616$	15.8017	+	18.0380i	0.636669	+	0.726771i
$617$	9.05639	−	27.8727i	0.364597	−	1.12211i	−0.585637	−	0.810574i	$-0.699155\pi$
$617$	9.05639	−	27.8727i	0.364597	−	1.12211i	0.950233	−	0.311539i	$-0.100845\pi$
$618$	−5.71461	−	17.4874i	−0.229875	−	0.703447i
$619$	12.2866	−	37.8144i	0.493842	−	1.51989i	−0.324913	−	0.945744i	$-0.605335\pi$
$619$	12.2866	−	37.8144i	0.493842	−	1.51989i	0.818754	−	0.574144i	$-0.194665\pi$
$620$	24.0465	+	9.70750i	0.965730	+	0.389862i
$621$	27.1836	+	11.4993i	1.09084	+	0.461449i
$622$	2.89392	+	0.523843i	0.116036	+	0.0210042i
$623$	19.9452	−	27.4523i	0.799089	−	1.09985i
$624$	−1.90859	−	4.42834i	−0.0764046	−	0.177276i
$625$	−18.6215	−	16.6805i	−0.744860	−	0.667221i
$626$	16.4295	+	8.83167i	0.656653	+	0.352984i
$627$	2.24756	+	12.2981i	0.0897589	+	0.491140i
$628$	0.790046	−	0.992492i	0.0315263	−	0.0396047i
$629$	3.04077	+	9.35853i	0.121243	+	0.373149i
$630$	−6.56240	−	41.4792i	−0.261452	−	1.65257i
$631$	20.0802	+	6.52446i	0.799381	+	0.259734i	0.680094	−	0.733125i	$-0.261939\pi$
$631$	20.0802	+	6.52446i	0.799381	+	0.259734i	0.119287	+	0.992860i	$0.461939\pi$
$632$	2.31079	+	25.2977i	0.0919184	+	1.00629i
$633$	−20.9961	−	38.9015i	−0.834520	−	1.54619i
$634$	−18.8107	+	2.55659i	−0.747070	+	0.101535i
$635$	−1.03315	+	40.4464i	−0.0409993	+	1.60507i
$636$	8.72594	−	8.37850i	0.346006	−	0.332229i
$637$	−7.09233	+	5.15288i	−0.281008	+	0.204164i
$638$	14.5641	−	1.97943i	0.576599	−	0.0783662i
$639$	20.2696	−	30.8737i	0.801854	−	1.22134i
$640$	14.4071	+	20.7951i	0.569491	+	0.821997i
$641$	14.2570	+	19.6231i	0.563120	+	0.775068i	0.991719	−	0.128427i	$-0.0409928\pi$
$641$	14.2570	+	19.6231i	0.563120	+	0.775068i	−0.428599	+	0.903495i	$0.640993\pi$
$642$	27.8936	−	0.0470191i	1.10087	−	0.00185570i
$643$		−	4.08124i		−	0.160948i	−0.996757	−	0.0804742i	$-0.974357\pi$
$643$		−	4.08124i		−	0.160948i	0.996757	−	0.0804742i	$-0.0256435\pi$
$644$	13.4220	+	48.4656i	0.528900	+	1.90981i
$645$	32.4458	−	5.07718i	1.27755	−	0.199914i
$646$	−15.7599	−	2.85278i	−0.620066	−	0.112241i
$647$	23.4294	−	7.61266i	0.921103	−	0.299284i	0.190184	−	0.981749i	$-0.439092\pi$
$647$	23.4294	−	7.61266i	0.921103	−	0.299284i	0.730919	+	0.682464i	$0.239092\pi$
$648$	−23.0040	−	10.9002i	−0.903684	−	0.428200i
$649$	18.9742			0.744801
$650$	3.21671	+	3.72485i	0.126170	+	0.146101i
$651$	−32.1728	−	30.6840i	−1.26095	−	1.20260i
$652$	−0.976065	−	0.0429670i	−0.0382257	−	0.00168272i
$653$	6.03784	−	1.96181i	0.236279	−	0.0767717i	−0.188484	−	0.982076i	$-0.560357\pi$
$653$	6.03784	−	1.96181i	0.236279	−	0.0767717i	0.424763	+	0.905305i	$0.360357\pi$
$654$	18.8094	+	25.7974i	0.735507	+	1.00876i
$655$	−8.78016	−	29.5716i	−0.343069	−	1.15546i
$656$	4.87661	−	5.60177i	0.190400	−	0.218712i
$657$	−22.9198	+	1.08638i	−0.894187	+	0.0423836i
$658$	−55.6125	+	53.2182i	−2.16800	+	2.07466i
$659$	6.75954	+	9.30371i	0.263314	+	0.362421i	0.920118	−	0.391640i	$-0.128092\pi$
$659$	6.75954	+	9.30371i	0.263314	+	0.362421i	−0.656804	+	0.754061i	$0.728092\pi$
$660$	−13.5136	+	6.12238i	−0.526016	+	0.238313i
$661$	−18.0318	+	24.8187i	−0.701357	+	0.965336i	0.298583	+	0.954384i	$0.403486\pi$
$661$	−18.0318	+	24.8187i	−0.701357	+	0.965336i	−0.999940	+	0.0109518i	$0.996514\pi$
$662$	3.66426	+	26.9607i	0.142415	+	1.04786i
$663$	−0.481838	+	3.59059i	−0.0187130	+	0.139447i
$664$	9.70464	+	5.78074i	0.376613	+	0.224336i
$665$	35.7597	−	10.6175i	1.38670	−	0.411728i
$666$	−13.6617	+	2.52057i	−0.529382	+	0.0976703i
$667$	29.3148	+	9.52496i	1.13507	+	0.368808i
$668$	−23.6863	+	15.6654i	−0.916450	+	0.606112i
$669$	14.1191	+	26.1598i	0.545877	+	1.01140i
$670$	15.4565	+	17.0005i	0.597137	+	0.656787i
$671$	3.20434	+	9.86195i	0.123702	+	0.380716i
$672$	−9.79754	−	42.2513i	−0.377948	−	1.62988i
$673$	1.87750	−	2.58416i	0.0723724	−	0.0996121i	−0.771296	−	0.636476i	$-0.780391\pi$
$673$	1.87750	−	2.58416i	0.0723724	−	0.0996121i	0.843669	+	0.536864i	$0.180391\pi$
$674$	11.7252	+	6.30290i	0.451639	+	0.242779i
$675$	25.7369	+	3.55108i	0.990615	+	0.136681i
$676$	13.8081	+	20.8781i	0.531081	+	0.803002i
$677$	−29.4537	+	40.5395i	−1.13200	+	1.55806i	−0.347779	+	0.937577i	$0.613064\pi$
$677$	−29.4537	+	40.5395i	−1.13200	+	1.55806i	−0.784219	+	0.620484i	$0.786936\pi$
$678$	9.09698	−	6.63280i	0.349367	−	0.254731i
$679$	−56.1704	+	18.2509i	−2.15562	+	0.700404i
$680$	−1.24502	−	18.9653i	−0.0477442	−	0.727285i
$681$	23.0102	+	42.6332i	0.881753	+	1.63371i
$682$	−7.43653	+	13.8341i	−0.284760	+	0.529735i
$683$	−8.00211	+	24.6280i	−0.306192	+	0.942363i	0.673037	+	0.739609i	$0.264989\pi$
$683$	−8.00211	+	24.6280i	−0.306192	+	0.942363i	−0.979230	+	0.202755i	$0.935011\pi$
$684$	6.91479	−	21.5282i	0.264393	−	0.823152i
$685$	8.44945	+	2.98600i	0.322837	+	0.114089i
$686$	−31.5532	+	15.2125i	−1.20471	+	0.580815i
$687$	3.18292	+	0.427131i	0.121436	+	0.0162961i
$688$	33.0538	−	7.60607i	1.26016	−	0.289979i
$689$	1.42866	−	1.96638i	0.0544277	−	0.0749133i
$690$	−31.1035	−	0.742036i	−1.18409	−	0.0282488i
$691$	31.1013	−	22.5964i	1.18315	−	0.859609i	0.190627	−	0.981663i	$-0.438948\pi$
$691$	31.1013	−	22.5964i	1.18315	−	0.859609i	0.992524	+	0.122053i	$0.0389479\pi$
$692$	−3.50423	−	12.6535i	−0.133211	−	0.481014i
$693$	25.4066	−	1.20425i	0.965117	−	0.0457456i
$694$	−29.3648	−	30.6859i	−1.11467	−	1.16482i
$695$	0.867977	−	33.9801i	0.0329242	−	1.28894i
$696$	−24.9125	−	9.27674i	−0.944304	−	0.351634i
$697$	−5.30671	+	1.72425i	−0.201006	+	0.0653108i
$698$	9.84465	+	20.4194i	0.372625	+	0.772887i
$699$	3.94286	−	4.13418i	0.149133	−	0.156369i
$700$	22.5023	+	38.1207i	0.850508	+	1.44083i
$701$	3.74744			0.141539			0.0707694	−	0.997493i	$-0.477455\pi$
$701$	3.74744			0.141539			0.0707694	+	0.997493i	$0.477455\pi$
$702$	−4.93595	−	1.34011i	−0.186295	−	0.0505793i
$703$	−3.81327	−	11.7361i	−0.143820	−	0.442634i
$704$	−13.4734	+	7.29668i	−0.507798	+	0.275004i
$705$	−21.5405	−	42.4703i	−0.811262	−	1.59952i
$706$	10.6651	+	11.1449i	0.401385	+	0.419443i
$707$	20.8573			0.784418
$708$	−30.2546	−	16.1977i	−1.13704	−	0.608746i
$709$	15.5340	+	21.3807i	0.583392	+	0.802970i	0.994062	−	0.108814i	$-0.0347053\pi$
$709$	15.5340	+	21.3807i	0.583392	+	0.802970i	−0.410670	+	0.911784i	$0.634705\pi$
$710$	−7.91030	+	38.1186i	−0.296868	+	1.43057i
$711$	22.5235	+	14.7875i	0.844697	+	0.554573i
$712$	14.2868	+	16.3087i	0.535420	+	0.611193i
$713$	−26.6472	+	19.3603i	−0.997945	+	0.725049i
$714$	−10.0170	+	31.0070i	−0.374878	+	1.16041i
$715$	−2.45550	+	1.68994i	−0.0918305	+	0.0632002i
$716$	−13.8101	+	36.8965i	−0.516109	+	1.37889i
$717$	−7.03637	−	13.0369i	−0.262778	−	0.486873i
$718$	−18.2406	+	33.9328i	−0.680733	+	1.26636i
$719$	−14.7316	+	45.3391i	−0.549395	+	1.69086i	0.160909	+	0.986969i	$0.448557\pi$
$719$	−14.7316	+	45.3391i	−0.549395	+	1.69086i	−0.710304	+	0.703895i	$0.751443\pi$
$720$	26.7741	+	1.77394i	0.997812	+	0.0661108i
$721$	−10.2741	−	31.6203i	−0.382626	−	1.17760i
$722$	−6.67666	−	1.20857i	−0.248479	−	0.0449785i
$723$	39.7222	−	7.25949i	1.47729	−	0.269983i
$724$	15.6800	−	10.3703i	0.582742	−	0.385407i
$725$	27.0964	+	1.38519i	1.00634	+	0.0514445i
$726$	5.57836	+	17.0705i	0.207032	+	0.633545i
$727$	−14.1222	−	10.2604i	−0.523765	−	0.380537i	0.294255	−	0.955727i	$-0.404928\pi$
$727$	−14.1222	−	10.2604i	−0.523765	−	0.380537i	−0.818020	+	0.575189i	$0.804928\pi$
$728$	−3.43567	−	8.00862i	−0.127334	−	0.296819i
$729$	−24.2382	+	11.8958i	−0.897711	+	0.440585i
$730$	22.0479	−	9.94414i	0.816031	−	0.368049i
$731$	−24.2345	−	7.87427i	−0.896346	−	0.291241i
$732$	3.30949	−	18.4605i	0.122322	−	0.682319i
$733$	3.27129	−	10.0680i	0.120828	−	0.371870i	−0.872290	−	0.488989i	$-0.837366\pi$
$733$	3.27129	−	10.0680i	0.120828	−	0.371870i	0.993118	+	0.117119i	$0.0373659\pi$
$734$	6.34026	+	46.6500i	0.234023	+	1.72188i
$735$	−7.54172	−	48.1954i	−0.278181	−	1.77771i
$736$	−32.0971	+	1.51286i	−1.18311	+	0.0557647i
$737$	−11.2584	+	8.17971i	−0.414709	+	0.301304i
$738$	−1.42928	−	7.74683i	−0.0526125	−	0.285165i
$739$	17.1198	+	12.4383i	0.629762	+	0.457549i	0.856318	−	0.516449i	$-0.172747\pi$
$739$	17.1198	+	12.4383i	0.629762	+	0.457549i	−0.226556	+	0.973998i	$0.572747\pi$
$740$	12.4164	−	7.76354i	0.456437	−	0.285393i
$741$	0.604249	−	4.50278i	0.0221976	−	0.165414i
$742$	15.7949	−	15.1149i	0.579848	−	0.554884i
$743$		−	10.7047i		−	0.392719i	−0.980532	−	0.196359i	$-0.937088\pi$
$743$		−	10.7047i		−	0.392719i	0.980532	−	0.196359i	$-0.0629119\pi$
$744$	23.6674	−	15.7103i	0.867690	−	0.575969i
$745$	5.09862	+	7.40835i	0.186799	+	0.271421i
$746$	38.7262	+	7.01002i	1.41787	+	0.256655i
$747$	11.2066	−	4.23770i	0.410029	−	0.155049i
$748$	11.5003	+	0.506249i	0.420491	+	0.0185103i
$749$	50.4089			1.84190
$750$	−26.6062	+	6.48929i	−0.971521	+	0.236955i
$751$		−	13.1625i		−	0.480307i	−0.970735	−	0.240154i	$-0.922802\pi$
$751$		−	13.1625i		−	0.480307i	0.970735	−	0.240154i	$-0.0771978\pi$
$752$	−25.3005	−	42.1757i	−0.922614	−	1.53799i
$753$	−6.15079	+	12.8129i	−0.224147	+	0.466929i
$754$	−5.25582	−	0.951381i	−0.191406	−	0.0346473i
$755$	36.6506	−	25.2239i	1.33385	−	0.917992i
$756$	−41.5392	−	19.7687i	−1.51077	−	0.718980i
$757$	24.4467			0.888531			0.444265	−	0.895895i	$-0.353465\pi$
$757$	24.4467			0.888531			0.444265	+	0.895895i	$0.353465\pi$
$758$	18.8167	+	19.6632i	0.683452	+	0.714200i
$759$	2.50627	−	18.6764i	0.0909719	−	0.677909i
$760$	1.56131	+	23.7834i	0.0566347	+	0.862714i
$761$	4.60419	−	6.33712i	0.166902	−	0.229720i	−0.717371	−	0.696691i	$-0.754655\pi$
$761$	4.60419	−	6.33712i	0.166902	−	0.229720i	0.884273	+	0.466971i	$0.154655\pi$
$762$	35.9005	+	25.9909i	1.30054	+	0.941551i
$763$	33.9134	+	46.6778i	1.22775	+	1.68985i
$764$	−1.42720	+	32.4210i	−0.0516341	+	1.17295i
$765$	−16.5637	−	11.4904i	−0.598861	−	0.415437i
$766$	27.9828	−	3.80318i	1.01106	−	0.137414i
$767$	−6.55770	−	2.13073i	−0.236785	−	0.0769361i
$768$	27.7125	−	0.132808i	0.999989	−	0.00479228i
$769$	3.86042	−	11.8811i	0.139210	−	0.428445i	−0.857011	−	0.515298i	$-0.827681\pi$
$769$	3.86042	−	11.8811i	0.139210	−	0.428445i	0.996221	+	0.0868532i	$0.0276811\pi$
$770$	−24.4401	+	11.0231i	−0.880761	+	0.397244i
$771$	−26.6451	−	12.7908i	−0.959599	−	0.460651i
$772$	−39.5835	−	31.5094i	−1.42464	−	1.13405i
$773$	1.13315	−	1.55965i	0.0407566	−	0.0560966i	−0.788152	−	0.615480i	$-0.788962\pi$
$773$	1.13315	−	1.55965i	0.0407566	−	0.0560966i	0.828909	+	0.559384i	$0.188962\pi$
$774$	15.5140	−	32.4580i	0.557641	−	1.16668i
$775$	−18.2169	+	22.5551i	−0.654369	+	0.810202i
$776$	−3.43277	−	37.5807i	−0.123229	−	1.34907i
$777$	−24.6969	+	4.51351i	−0.885996	+	0.161921i
$778$	−2.83783	−	0.513690i	−0.101741	−	0.0184167i
$779$	6.65488	−	2.16230i	0.238436	−	0.0774725i
$780$	5.35798	−	0.598444i	0.191847	−	0.0214277i
$781$	−22.4251	−	7.28635i	−0.802432	−	0.260726i
$782$	21.2633	+	11.4301i	0.760374	+	0.408739i
$783$	−24.1509	+	14.5519i	−0.863084	+	0.520042i
$784$	−11.2982	−	49.0986i	−0.403506	−	1.75352i
$785$	0.804072	+	1.16832i	0.0286986	+	0.0416993i
$786$	−32.1555	−	10.3881i	−1.14695	−	0.370530i
$787$	−1.14340	−	1.57375i	−0.0407577	−	0.0560982i	0.788152	−	0.615481i	$-0.211038\pi$
$787$	−1.14340	−	1.57375i	−0.0407577	−	0.0560982i	−0.828909	+	0.559383i	$0.811038\pi$
$788$	1.65435	−	4.41992i	0.0589337	−	0.157453i
$789$	5.45546	+	29.8510i	0.194219	+	1.06272i
$790$	−27.8090	−	5.77086i	−0.989398	−	0.205318i
$791$	16.4601	−	11.9589i	0.585253	−	0.425211i
$792$	−2.84084	+	16.0016i	−0.100945	+	0.568591i
$793$		−	3.76825i		−	0.133814i
$794$	6.90180	+	7.21231i	0.244936	+	0.255955i
$795$	6.11786	+	12.0623i	0.216978	+	0.427805i
$796$	−0.425979	−	0.339089i	−0.0150984	−	0.0120187i
$797$	−29.5326	+	9.59573i	−1.04610	+	0.339898i	−0.781136	−	0.624361i	$-0.785360\pi$
$797$	−29.5326	+	9.59573i	−1.04610	+	0.339898i	−0.264963	+	0.964259i	$0.585360\pi$
$798$	12.5618	−	38.8843i	0.444684	−	1.37649i
$799$			36.9498i			1.30719i
$800$	−26.9345	+	8.63326i	−0.952278	+	0.305232i
$801$	22.9708	−	1.08880i	0.811635	−	0.0384707i
$802$	7.11669	+	14.7612i	0.251299	+	0.521236i
$803$	4.52683	+	13.9322i	0.159748	+	0.491655i
$804$	24.9345	−	3.43169i	0.879372	−	0.121026i
$805$	−56.2074	−	1.43574i	−1.98105	−	0.0506033i
$806$	4.12368	−	3.94614i	0.145250	−	0.138997i
$807$	26.7878	−	28.0876i	0.942974	−	0.988729i
$808$	−2.94818	+	12.9966i	−0.103717	+	0.457218i
$809$	16.4354	+	22.6213i	0.577836	+	0.795323i	0.993456	−	0.114215i	$-0.0364353\pi$
$809$	16.4354	+	22.6213i	0.577836	+	0.795323i	−0.415620	+	0.909538i	$0.636435\pi$
$810$	19.1528	−	21.0516i	0.672961	−	0.739678i
$811$	15.2862	+	11.1061i	0.536771	+	0.389987i	0.822884	−	0.568209i	$-0.192363\pi$
$811$	15.2862	+	11.1061i	0.536771	+	0.389987i	−0.286114	+	0.958196i	$0.592363\pi$
$812$	−44.9930	−	16.8406i	−1.57895	−	0.590990i
$813$	15.9750	+	2.14376i	0.560269	+	0.0751851i
$814$	3.85178	+	7.98924i	0.135005	+	0.280023i
$815$	0.363967	−	1.02991i	0.0127492	−	0.0360762i
$816$	−17.9051	−	10.6247i	−0.626806	−	0.371937i
$817$	30.3913	+	9.87473i	1.06326	+	0.345473i
$818$	11.7968	−	21.9455i	0.412466	−	0.767306i
$819$	−8.91607	−	2.43686i	−0.311553	−	0.0851509i
$820$	4.40228	+	7.04069i	0.153734	+	0.245871i
$821$	−0.964368	−	2.96802i	−0.0336567	−	0.103585i	0.932817	−	0.360351i	$-0.117343\pi$
$821$	−0.964368	−	2.96802i	−0.0336567	−	0.103585i	−0.966474	+	0.256766i	$0.917343\pi$
$822$	7.93229	−	5.78360i	0.276670	−	0.201726i
$823$	20.6324	+	14.9903i	0.719200	+	0.522530i	0.886129	−	0.463439i	$-0.153385\pi$
$823$	20.6324	+	14.9903i	0.719200	+	0.522530i	−0.166928	+	0.985969i	$0.553385\pi$
$824$	21.1555	−	1.93243i	0.736986	−	0.0673192i
$825$	−2.14505	−	16.4476i	−0.0746812	−	0.572633i
$826$	−54.6261	−	29.3643i	−1.90068	−	1.02171i
$827$	2.63420	+	1.91386i	0.0916002	+	0.0665514i	0.632643	−	0.774444i	$-0.281970\pi$
$827$	2.63420	+	1.91386i	0.0916002	+	0.0665514i	−0.541042	+	0.840995i	$0.681970\pi$
$828$	−19.9398	+	27.6402i	−0.692955	+	0.960564i
$829$	29.2900	−	9.51689i	1.01728	−	0.330535i	0.247532	−	0.968880i	$-0.420380\pi$
$829$	29.2900	−	9.51689i	1.01728	−	0.330535i	0.769751	+	0.638344i	$0.220380\pi$
$830$	−9.34442	+	8.49576i	−0.324350	+	0.294892i
$831$	13.9224	+	25.7954i	0.482964	+	0.894833i
$832$	5.47596	−	1.00881i	0.189845	−	0.0349742i
$833$	−11.6966	+	35.9983i	−0.405262	+	1.24727i
$834$	−30.1610	−	21.8357i	−1.04439	−	0.756108i
$835$	−9.03699	−	30.4366i	−0.312738	−	1.05330i
$836$	−14.4219	−	0.634861i	−0.498791	−	0.0219571i
$837$	2.58904	−	30.0188i	0.0894902	−	1.03760i
$838$	36.4070	−	4.94812i	1.25766	−	0.170930i
$839$	3.54046	+	2.57230i	0.122230	+	0.0888056i	0.647221	−	0.762303i	$-0.275931\pi$
$839$	3.54046	+	2.57230i	0.122230	+	0.0888056i	−0.524991	+	0.851108i	$0.675931\pi$
$840$	48.3802	+	3.28739i	1.66928	+	0.113426i
$841$	−0.360300	+	0.261773i	−0.0124241	+	0.00902666i
$842$	−37.0779	+	35.4816i	−1.27779	+	1.22278i
$843$	32.5114	+	31.0069i	1.11975	+	1.06793i
$844$	49.1930	−	13.6234i	1.69329	−	0.468937i
$845$	−26.8281	+	7.96558i	−0.922914	+	0.274024i
$846$	−51.7139	−	6.85101i	−1.77796	−	0.235543i
$847$	10.0291	+	30.8664i	0.344604	+	1.06058i
$848$	7.18576	+	11.9786i	0.246760	+	0.411346i
$849$	0.0408692	+	0.0389779i	0.00140263	+	0.00133772i
$850$	20.6891	+	4.84754i	0.709632	+	0.166269i
$851$			18.5999i			0.637597i
$852$	29.5370	+	30.7618i	1.01192	+	1.05388i
$853$	11.6677	+	35.9095i	0.399495	+	1.22952i	0.925405	+	0.378979i	$0.123725\pi$
$853$	11.6677	+	35.9095i	0.399495	+	1.22952i	−0.525910	+	0.850540i	$0.676275\pi$
$854$	6.03708	−	33.3513i	0.206585	−	1.14126i
$855$	20.7717	+	14.4095i	0.710376	+	0.492796i
$856$	−7.12533	+	31.4108i	−0.243539	+	1.07360i
$857$	37.9612			1.29673			0.648364	−	0.761330i	$-0.275453\pi$
$857$	37.9612			1.29673			0.648364	+	0.761330i	$0.275453\pi$
$858$	0.00550424	+	3.26534i	0.000187912	+	0.111477i
$859$	−21.8484	+	15.8738i	−0.745459	+	0.541608i	−0.894416	−	0.447236i	$-0.852408\pi$
$859$	−21.8484	+	15.8738i	−0.745459	+	0.541608i	0.148957	+	0.988844i	$0.452408\pi$
$860$	−2.63454	+	37.8294i	−0.0898371	+	1.28997i
$861$	−2.55937	−	14.0043i	−0.0872230	−	0.477264i
$862$	4.90208	+	36.0683i	0.166965	+	1.22849i
$863$	5.63799	+	7.76003i	0.191919	+	0.264154i	0.894123	−	0.447822i	$-0.147800\pi$
$863$	5.63799	+	7.76003i	0.191919	+	0.264154i	−0.702203	+	0.711977i	$0.747800\pi$
$864$	18.1898	−	23.0896i	0.618831	−	0.785524i
$865$	14.6747	+	0.374846i	0.498956	+	0.0127452i
$866$	42.3455	−	5.75523i	1.43896	−	0.195571i
$867$	−6.55594	−	12.1468i	−0.222651	−	0.412527i
$868$	42.8192	−	28.3193i	1.45338	−	0.961219i
$869$	5.31566	−	16.3599i	0.180322	−	0.554973i
$870$	18.0383	−	23.6216i	0.611556	−	0.800847i
$871$	4.80960	−	1.56273i	0.162967	−	0.0529512i
$872$	−33.8796	+	14.5342i	−1.14731	+	0.492190i
$873$	−33.4595	−	21.9673i	−1.13243	−	0.743481i
$874$	−26.6652	−	14.3339i	−0.901964	−	0.484852i
$875$	−48.1019	+	11.6463i	−1.62614	+	0.393715i
$876$	4.67538	−	26.0795i	0.157967	−	0.881143i
$877$	−15.5563	−	11.3023i	−0.525298	−	0.381651i	0.293298	−	0.956021i	$-0.405247\pi$
$877$	−15.5563	−	11.3023i	−0.525298	−	0.381651i	−0.818596	+	0.574370i	$0.805247\pi$
$878$	0.930460	−	5.14024i	0.0314015	−	0.173475i
$879$	−0.601463	+	1.25293i	−0.0202868	+	0.0422602i
$880$	−3.41407	−	16.7872i	−0.115088	−	0.565898i
$881$	4.30747	+	1.39958i	0.145122	+	0.0471531i	0.380677	−	0.924708i	$-0.375691\pi$
$881$	4.30747	+	1.39958i	0.145122	+	0.0471531i	−0.235555	+	0.971861i	$0.575691\pi$
$882$	−48.2136	−	23.0448i	−1.62344	−	0.775959i
$883$	11.0691	+	3.59655i	0.372503	+	0.121034i	0.489285	−	0.872124i	$-0.337258\pi$
$883$	11.0691	+	3.59655i	0.372503	+	0.121034i	−0.116782	+	0.993158i	$0.537258\pi$
$884$	−3.91778	−	1.46640i	−0.131769	−	0.0493204i
$885$	27.1808	−	27.0801i	0.913674	−	0.910288i
$886$	−4.15058	+	2.00108i	−0.139441	+	0.0672277i
$887$	16.3879	+	22.5560i	0.550251	+	0.757356i	0.990046	−	0.140742i	$-0.0449488\pi$
$887$	16.3879	+	22.5560i	0.550251	+	0.757356i	−0.439795	+	0.898098i	$0.644949\pi$
$888$	0.678458	−	16.0271i	0.0227676	−	0.537835i
$889$	64.7995	+	47.0796i	2.17331	+	1.57900i
$890$	−22.0970	+	9.96628i	−0.740694	+	0.334070i
$891$	11.4056	+	12.9247i	0.382103	+	0.432993i
$892$	−33.0805	+	9.16125i	−1.10762	+	0.306741i
$893$		−	46.3368i		−	1.55060i
$894$	9.85166	−	0.0166065i	0.329489	−	0.000555406i
$895$	−34.9616	−	26.7914i	−1.16864	−	0.895537i
$896$	50.0819	−	0.155587i	1.67312	−	0.00519779i
$897$	−2.96349	+	6.17334i	−0.0989479	+	0.206122i
$898$	−1.19309	−	2.47468i	−0.0398141	−	0.0825810i
$899$		−	31.4651i		−	1.04942i
$900$	−10.6205	+	28.0572i	−0.354018	+	0.935239i
$901$		−	10.4943i		−	0.349617i
$902$	−4.53026	+	2.18414i	−0.150841	+	0.0727238i
$903$	28.1355	−	58.6101i	0.936292	−	1.95042i
$904$	5.12522	+	11.9470i	0.170462	+	0.397351i
$905$	5.98236	+	20.1486i	0.198860	+	0.669762i
$906$	−0.0821559	−	48.7382i	−0.00272945	−	1.61922i
$907$		−	26.4215i		−	0.877310i	−0.898655	−	0.438655i	$-0.855455\pi$
$907$		−	26.4215i		−	0.877310i	0.898655	−	0.438655i	$-0.144545\pi$
$908$	−53.9119	+	14.9303i	−1.78913	+	0.495478i
$909$	8.84055	+	11.0294i	0.293223	+	0.365822i
$910$	9.68466	−	1.06517i	0.321043	−	0.0353102i
$911$	0.635898	+	0.462007i	0.0210683	+	0.0153070i	0.598270	−	0.801295i	$-0.295855\pi$
$911$	0.635898	+	0.462007i	0.0210683	+	0.0153070i	−0.577201	+	0.816602i	$0.695855\pi$
$912$	22.4539	+	13.3238i	0.743524	+	0.441196i
$913$	−4.49603	−	6.18825i	−0.148797	−	0.204801i
$914$	−3.36394	−	6.97737i	−0.111269	−	0.230791i
$915$	18.6654	+	9.55416i	0.617058	+	0.315851i
$916$	−1.29991	+	3.47296i	−0.0429502	+	0.114750i
$917$	−58.0791	−	18.8710i	−1.91794	−	0.623176i
$918$	−20.6424	+	7.84557i	−0.681301	+	0.258942i
$919$	−42.7390	−	13.8867i	−1.40983	−	0.458081i	−0.497473	−	0.867479i	$-0.665739\pi$
$919$	−42.7390	−	13.8867i	−1.40983	−	0.458081i	−0.912356	+	0.409398i	$0.865739\pi$
$920$	8.83958	−	34.8210i	0.291432	−	1.14801i
$921$	0.0694591	−	0.144693i	0.00228875	−	0.00476778i
$922$	−13.3259	−	2.41219i	−0.438866	−	0.0794412i
$923$	6.93216	+	5.03651i	0.228175	+	0.165779i
$924$	−5.18266	+	28.9091i	−0.170497	+	0.951038i
$925$	4.25775	+	15.8089i	0.139994	+	0.519794i
$926$	−9.89754	+	18.4123i	−0.325253	+	0.605065i
$927$	12.3662	−	18.8355i	0.406158	−	0.618640i
$928$	16.8535	−	25.6556i	0.553243	−	0.842187i
$929$	−16.3971	+	5.32773i	−0.537971	+	0.174797i	−0.565385	−	0.824827i	$-0.691273\pi$
$929$	−16.3971	+	5.32773i	−0.537971	+	0.174797i	0.0274147	+	0.999624i	$0.491273\pi$
$930$	9.09120	+	30.4311i	0.298112	+	0.997875i
$931$	14.6681	−	45.1437i	0.480727	−	1.47952i
$932$	3.63900	+	5.50222i	0.119199	+	0.180231i
$933$	1.71077	+	3.16971i	0.0560082	+	0.103772i
$934$	−2.64620	−	19.4701i	−0.0865865	−	0.637081i
$935$	−4.28835	+	12.1347i	−0.140244	+	0.396846i
$936$	2.77875	−	5.21133i	0.0908262	−	0.170338i
$937$	−24.9242	−	34.3052i	−0.814237	−	1.12070i	−0.990656	−	0.136386i	$-0.956451\pi$
$937$	−24.9242	−	34.3052i	−0.814237	−	1.12070i	0.176419	−	0.984315i	$-0.443549\pi$
$938$	45.0715	−	6.12573i	1.47164	−	0.200012i
$939$	4.10702	+	22.4727i	0.134028	+	0.733367i
$940$	53.3504	−	13.3178i	1.74010	−	0.434378i
$941$	14.2894	−	10.3819i	0.465823	−	0.338440i	−0.329988	−	0.943985i	$-0.607045\pi$
$941$	14.2894	−	10.3819i	0.465823	−	0.338440i	0.795811	+	0.605545i	$0.207045\pi$
$942$	1.55364	−	0.00261891i	0.0506205	−	8.53288e-5i
$943$	−10.5470			−0.343458
$944$	26.0189	−	29.8879i	0.846843	−	0.972770i
$945$	34.6767	−	37.9857i	1.12803	−	1.23567i
$946$	−22.6003	−	4.09099i	−0.734799	−	0.133010i
$947$	3.41806	+	10.5197i	0.111072	+	0.341844i	0.991108	−	0.133064i	$-0.0424815\pi$
$947$	3.41806	+	10.5197i	0.111072	+	0.341844i	−0.880036	+	0.474908i	$0.842481\pi$
$948$	−22.4419	+	21.5483i	−0.728879	+	0.699857i
$949$		−	5.32347i		−	0.172807i
$950$	−25.9452	−	6.07906i	−0.841773	−	0.197231i
$951$	−16.8250	−	16.0464i	−0.545589	−	0.520341i
$952$	−32.3254	−	19.2552i	−1.04767	−	0.624065i
$953$	15.3086	+	47.1151i	0.495895	+	1.52621i	0.815557	+	0.578677i	$0.196431\pi$
$953$	15.3086	+	47.1151i	0.495895	+	1.52621i	−0.319662	+	0.947532i	$0.603569\pi$
$954$	14.6876	+	1.94580i	0.475529	+	0.0629976i
$955$	−34.2095	−	12.0895i	−1.10699	−	0.391208i
$956$	16.4859	−	4.56557i	0.533192	−	0.147661i
$957$	13.0267	+	12.4239i	0.421093	+	0.401606i
$958$	10.1311	+	10.5869i	0.327322	+	0.342048i
$959$	14.3527	−	10.4278i	0.463472	−	0.336732i
$960$	−8.88700	+	29.6820i	−0.286827	+	0.957982i
$961$	2.12239	+	1.54200i	0.0684641	+	0.0497421i
$962$	−0.434062	−	3.19372i	−0.0139947	−	0.102970i
$963$	21.3663	+	26.6564i	0.688520	+	0.858992i
$964$	−2.05057	+	46.5819i	−0.0660443	+	1.50030i
$965$	46.5963	−	32.0688i	1.49999	−	1.03233i
$966$	−36.1189	+	49.8901i	−1.16211	+	1.60519i
$967$	−4.53684	+	13.9630i	−0.145895	+	0.449018i	−0.997125	−	0.0757743i	$-0.975857\pi$
$967$	−4.53684	+	13.9630i	−0.145895	+	0.449018i	0.851230	+	0.524793i	$0.175857\pi$
$968$	−20.6511	+	1.88635i	−0.663751	+	0.0606297i
$969$	−9.31664	−	17.2618i	−0.299294	−	0.554529i
$970$	41.3112	+	8.57283i	1.32642	+	0.275257i
$971$	18.8091	−	6.11146i	0.603614	−	0.196126i	0.00876235	−	0.999962i	$-0.497211\pi$
$971$	18.8091	−	6.11146i	0.603614	−	0.196126i	0.594852	+	0.803836i	$0.297211\pi$
$972$	−7.15305	−	30.3452i	−0.229434	−	0.973324i
$973$	−54.4398	−	39.5529i	−1.74526	−	1.26801i
$974$	12.6398	−	23.5137i	0.405006	−	0.753429i
$975$	−1.10565	+	5.92539i	−0.0354092	+	0.189764i
$976$	19.9285	+	8.47605i	0.637896	+	0.271312i
$977$	16.7343	+	12.1582i	0.535379	+	0.388975i	0.822366	−	0.568959i	$-0.192654\pi$
$977$	16.7343	+	12.1582i	0.535379	+	0.388975i	−0.286987	+	0.957934i	$0.592654\pi$
$978$	−0.704968	−	0.966873i	−0.0225424	−	0.0309172i
$979$	−4.53691	−	13.9632i	−0.145000	−	0.446265i
$980$	56.1924	+	3.91339i	1.79500	+	0.125009i
$981$	−10.3089	+	37.7184i	−0.329137	+	1.20426i
$982$	41.2683	+	22.1838i	1.31692	+	0.707913i
$983$	−29.3935	−	9.55053i	−0.937508	−	0.304615i	−0.199878	−	0.979821i	$-0.564055\pi$
$983$	−29.3935	−	9.55053i	−0.937508	−	0.304615i	−0.737629	+	0.675206i	$0.764055\pi$
$984$	9.08810	+	0.384717i	0.289718	+	0.0122643i
$985$	4.18813	+	3.20940i	0.133445	+	0.102260i
$986$	−20.7732	+	10.0152i	−0.661553	+	0.318949i
$987$	−93.4354	−	12.5385i	−2.97408	−	0.399106i
$988$	4.91309	+	1.83894i	0.156306	+	0.0585045i
$989$	−38.9669	−	28.3111i	−1.23907	−	0.900240i
$990$	−16.1882	−	8.25180i	−0.514496	−	0.262259i
$991$	17.9199	+	24.6647i	0.569245	+	0.783499i	0.992465	−	0.122528i	$-0.0391002\pi$
$991$	17.9199	+	24.6647i	0.569245	+	0.783499i	−0.423220	+	0.906027i	$0.639100\pi$
$992$	11.5938	+	30.6844i	0.368103	+	0.974231i
$993$	−22.9987	+	24.1146i	−0.729842	+	0.765255i
$994$	53.2849	+	55.6821i	1.69009	+	1.76613i
$995$	0.501447	−	0.345109i	0.0158969	−	0.0109407i
$996$	1.88625	+	13.7054i	0.0597681	+	0.434272i
$997$	7.18874	+	22.1247i	0.227670	+	0.700696i	0.998010	+	0.0630621i	$0.0200866\pi$
$997$	7.18874	+	22.1247i	0.227670	+	0.700696i	−0.770340	+	0.637634i	$0.779913\pi$
$998$	53.2892	−	25.6919i	1.68684	−	0.813262i
$999$	−12.8548	−	11.1467i	−0.406707	−	0.352666i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.15	✓	464
3.2	odd	2	inner	600.2.bk.a.59.102	yes	464
8.3	odd	2	inner	600.2.bk.a.59.64	yes	464
24.11	even	2	inner	600.2.bk.a.59.53	yes	464
25.14	even	10	inner	600.2.bk.a.539.53	yes	464
75.14	odd	10	inner	600.2.bk.a.539.64	yes	464
200.139	odd	10	inner	600.2.bk.a.539.102	yes	464
600.539	even	10	inner	600.2.bk.a.539.15	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.15	✓	464	1.1	even	1	trivial
600.2.bk.a.59.53	yes	464	24.11	even	2	inner
600.2.bk.a.59.64	yes	464	8.3	odd	2	inner
600.2.bk.a.59.102	yes	464	3.2	odd	2	inner
600.2.bk.a.539.15	yes	464	600.539	even	10	inner
600.2.bk.a.539.53	yes	464	25.14	even	10	inner
600.2.bk.a.539.64	yes	464	75.14	odd	10	inner
600.2.bk.a.539.102	yes	464	200.139	odd	10	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:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.27389 + 0.614170i) q^{2} +(-1.56146 - 0.749570i) q^{3} +(1.24559 - 1.56477i) q^{4} +(1.26771 + 1.84199i) q^{5} +(2.44949 - 0.00412900i) q^{6} +4.42667 q^{7} +(-0.625712 + 2.75835i) q^{8} +(1.87629 + 2.34084i) q^{9} +O(q^{10})\)	\(q+(-1.27389 + 0.614170i) q^{2} +(-1.56146 - 0.749570i) q^{3} +(1.24559 - 1.56477i) q^{4} +(1.26771 + 1.84199i) q^{5} +(2.44949 - 0.00412900i) q^{6} +4.42667 q^{7} +(-0.625712 + 2.75835i) q^{8} +(1.87629 + 2.34084i) q^{9} +(-2.74621 - 1.56790i) q^{10} +(1.12578 - 1.54950i) q^{11} +(-3.11784 + 1.50966i) q^{12} +(-0.563087 + 0.409107i) q^{13} +(-5.63909 + 2.71873i) q^{14} +(-0.598766 - 3.82642i) q^{15} +(-0.897005 - 3.89813i) q^{16} +(-0.928635 + 2.85804i) q^{17} +(-3.82786 - 1.82961i) q^{18} +(1.16455 - 3.58413i) q^{19} +(4.46133 + 0.310699i) q^{20} +(-6.91206 - 3.31810i) q^{21} +(-0.482462 + 2.66532i) q^{22} +(-3.33881 + 4.59547i) q^{23} +(3.04460 - 3.83802i) q^{24} +(-1.78585 + 4.67020i) q^{25} +(0.466050 - 0.866988i) q^{26} +(-1.17512 - 5.06153i) q^{27} +(5.51383 - 6.92672i) q^{28} +(-1.67684 - 5.16077i) q^{29} +(3.11283 + 4.50669i) q^{30} +(5.51477 + 1.79186i) q^{31} +(3.53680 + 4.41487i) q^{32} +(-2.91932 + 1.57563i) q^{33} +(-0.572346 - 4.21117i) q^{34} +(5.61172 + 8.15388i) q^{35} +(5.99997 - 0.0202278i) q^{36} +(2.64909 - 1.92467i) q^{37} +(0.717750 + 5.28102i) q^{38} +(1.18589 - 0.216729i) q^{39} +(-5.87407 + 2.34422i) q^{40} +(1.09138 + 1.50215i) q^{41} +(10.8431 - 0.0182777i) q^{42} +8.47941i q^{43} +(-1.02235 - 3.69163i) q^{44} +(-1.93322 + 6.42360i) q^{45} +(1.43087 - 7.90472i) q^{46} +(11.6938 - 3.79954i) q^{47} +(-1.52128 + 6.75912i) q^{48} +12.5954 q^{49} +(-0.593323 - 7.04613i) q^{50} +(3.59233 - 3.76663i) q^{51} +(-0.0612187 + 1.39068i) q^{52} +(-3.32123 + 1.07913i) q^{53} +(4.60561 + 5.72611i) q^{54} +(4.28133 + 0.109361i) q^{55} +(-2.76982 + 12.2103i) q^{56} +(-4.50496 + 4.72354i) q^{57} +(5.30570 + 5.54439i) q^{58} +(5.82299 + 8.01466i) q^{59} +(-6.73328 - 3.82922i) q^{60} +(-3.18229 + 4.38005i) q^{61} +(-8.12571 + 1.10438i) q^{62} +(8.30572 + 10.3621i) q^{63} +(-7.21697 - 3.45186i) q^{64} +(-1.46740 - 0.518573i) q^{65} +(2.75119 - 3.80014i) q^{66} +(-6.91020 - 2.24526i) q^{67} +(3.31548 + 5.01306i) q^{68} +(8.65803 - 4.67296i) q^{69} +(-12.1566 - 6.94060i) q^{70} +(-3.80430 - 11.7084i) q^{71} +(-7.63087 + 3.71077i) q^{72} +(-4.49568 + 6.18778i) q^{73} +(-2.19257 + 4.07881i) q^{74} +(6.28916 - 5.95369i) q^{75} +(-4.15778 - 6.28662i) q^{76} +(4.98346 - 6.85915i) q^{77} +(-1.37759 + 1.00443i) q^{78} +(8.54174 - 2.77538i) q^{79} +(6.04317 - 6.59395i) q^{80} +(-1.95908 + 8.78419i) q^{81} +(-2.31287 - 1.24329i) q^{82} +(1.23412 - 3.79823i) q^{83} +(-13.8017 + 6.68277i) q^{84} +(-6.44172 + 1.91262i) q^{85} +(-5.20779 - 10.8018i) q^{86} +(-1.25005 + 9.31523i) q^{87} +(3.56966 + 4.07484i) q^{88} +(4.50569 - 6.20156i) q^{89} +(-1.48247 - 9.37029i) q^{90} +(-2.49260 + 1.81098i) q^{91} +(3.03207 + 10.9485i) q^{92} +(-7.26794 - 6.93161i) q^{93} +(-12.5630 + 12.0222i) q^{94} +(8.07824 - 2.39852i) q^{95} +(-2.21330 - 9.54470i) q^{96} +(-12.6891 + 4.12293i) q^{97} +(-16.0452 + 7.73574i) q^{98} +(5.73943 - 0.272044i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

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