LMFDB - Embedded newform 600.2.bk.a.59.16

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			59.16
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.26954 + 0.623117i) q^{2} +(-1.00007 - 1.41417i) q^{3} +(1.22345 - 1.58214i) q^{4} +(-1.73406 - 1.41175i) q^{5} +(2.15081 + 1.17218i) q^{6} +1.35405 q^{7} +(-0.567359 + 2.77094i) q^{8} +(-0.999729 + 2.82852i) q^{9} +O(q^{10})$	\(q+(-1.26954 + 0.623117i) q^{2} +(-1.00007 - 1.41417i) q^{3} +(1.22345 - 1.58214i) q^{4} +(-1.73406 - 1.41175i) q^{5} +(2.15081 + 1.17218i) q^{6} +1.35405 q^{7} +(-0.567359 + 2.77094i) q^{8} +(-0.999729 + 2.82852i) q^{9} +(3.08114 + 0.711751i) q^{10} +(-2.89534 + 3.98509i) q^{11} +(-3.46094 - 0.147915i) q^{12} +(-0.493500 + 0.358549i) q^{13} +(-1.71901 + 0.843729i) q^{14} +(-0.262275 + 3.86409i) q^{15} +(-1.00633 - 3.87134i) q^{16} +(-0.0925901 + 0.284963i) q^{17} +(-0.493307 - 4.21386i) q^{18} +(-1.05711 + 3.25347i) q^{19} +(-4.35512 + 1.01631i) q^{20} +(-1.35414 - 1.91485i) q^{21} +(1.19256 - 6.86336i) q^{22} +(5.12976 - 7.06050i) q^{23} +(4.48596 - 1.96879i) q^{24} +(1.01391 + 4.89612i) q^{25} +(0.403099 - 0.762700i) q^{26} +(4.99980 - 1.41493i) q^{27} +(1.65661 - 2.14229i) q^{28} +(0.862099 + 2.65327i) q^{29} +(-2.07481 - 5.06904i) q^{30} +(8.87313 + 2.88306i) q^{31} +(3.68988 + 4.28775i) q^{32} +(8.53112 + 0.109127i) q^{33} +(-0.0600186 - 0.419465i) q^{34} +(-2.34800 - 1.91158i) q^{35} +(3.25200 + 5.04227i) q^{36} +(-7.54579 + 5.48234i) q^{37} +(-0.685241 - 4.78910i) q^{38} +(1.00058 + 0.339318i) q^{39} +(4.89571 - 4.00400i) q^{40} +(4.00253 + 5.50901i) q^{41} +(2.91230 + 1.58718i) q^{42} -10.1955i q^{43} +(2.76267 + 9.45640i) q^{44} +(5.72676 - 3.49345i) q^{45} +(-2.11290 + 12.1600i) q^{46} +(-2.63826 + 0.857223i) q^{47} +(-4.46832 + 5.29473i) q^{48} -5.16656 q^{49} +(-4.33806 - 5.58402i) q^{50} +(0.495581 - 0.154045i) q^{51} +(-0.0364989 + 1.21945i) q^{52} +(7.26600 - 2.36087i) q^{53} +(-5.46576 + 4.91177i) q^{54} +(10.6466 - 2.82288i) q^{55} +(-0.768231 + 3.75198i) q^{56} +(5.65812 - 1.75875i) q^{57} +(-2.74776 - 2.83123i) q^{58} +(4.56256 + 6.27982i) q^{59} +(5.79265 + 5.14248i) q^{60} +(0.747413 - 1.02873i) q^{61} +(-13.0613 + 1.86885i) q^{62} +(-1.35368 + 3.82995i) q^{63} +(-7.35621 - 3.14424i) q^{64} +(1.36194 + 0.0749552i) q^{65} +(-10.8986 + 5.17734i) q^{66} +(12.9946 + 4.22220i) q^{67} +(0.337572 + 0.495129i) q^{68} +(-15.1148 - 0.193343i) q^{69} +(4.17200 + 0.963744i) q^{70} +(0.895263 + 2.75533i) q^{71} +(-7.27046 - 4.37498i) q^{72} +(-4.88863 + 6.72862i) q^{73} +(6.16353 - 11.6619i) q^{74} +(5.90994 - 6.33029i) q^{75} +(3.85411 + 5.65296i) q^{76} +(-3.92042 + 5.39600i) q^{77} +(-1.48171 + 0.192702i) q^{78} +(4.36137 - 1.41709i) q^{79} +(-3.72033 + 8.13383i) q^{80} +(-7.00108 - 5.65551i) q^{81} +(-8.51412 - 4.49985i) q^{82} +(-3.63113 + 11.1755i) q^{83} +(-4.68628 - 0.200284i) q^{84} +(0.562853 - 0.363428i) q^{85} +(6.35300 + 12.9436i) q^{86} +(2.89000 - 3.87260i) q^{87} +(-9.39975 - 10.2838i) q^{88} +(-4.57851 + 6.30178i) q^{89} +(-5.09351 + 8.00351i) q^{90} +(-0.668222 + 0.485492i) q^{91} +(-4.89470 - 16.7542i) q^{92} +(-4.79662 - 15.4313i) q^{93} +(2.81522 - 2.73222i) q^{94} +(6.42618 - 4.14931i) q^{95} +(2.37346 - 9.50614i) q^{96} +(-6.42610 + 2.08797i) q^{97} +(6.55914 - 3.21937i) q^{98} +(-8.37737 - 12.1735i) 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 $

$2$	−1.26954	+	0.623117i	−0.897699	+	0.440610i
$2$	−1.26954	+	0.623117i	−0.897699	+	0.440610i
$3$	−1.00007	−	1.41417i	−0.577389	−	0.816469i
$3$	−1.00007	−	1.41417i	−0.577389	−	0.816469i
$4$	1.22345	−	1.58214i	0.611726	−	0.791070i
$5$	−1.73406	−	1.41175i	−0.775494	−	0.631355i
$5$	−1.73406	−	1.41175i	−0.775494	−	0.631355i
$6$	2.15081	+	1.17218i	0.878066	+	0.478539i
$7$	1.35405			0.511782			0.255891	−	0.966706i	$-0.417631\pi$
$7$	1.35405			0.511782			0.255891	+	0.966706i	$0.417631\pi$
$8$	−0.567359	+	2.77094i	−0.200592	+	0.979675i
$9$	−0.999729	+	2.82852i	−0.333243	+	0.942841i
$10$	3.08114	+	0.711751i	0.974341	+	0.225076i
$11$	−2.89534	+	3.98509i	−0.872978	+	1.20155i	0.105339	+	0.994436i	$0.466407\pi$
$11$	−2.89534	+	3.98509i	−0.872978	+	1.20155i	−0.978317	+	0.207114i	$0.933593\pi$
$12$	−3.46094	−	0.147915i	−0.999088	−	0.0426995i
$13$	−0.493500	+	0.358549i	−0.136872	+	0.0994436i	−0.654115	−	0.756395i	$-0.726959\pi$
$13$	−0.493500	+	0.358549i	−0.136872	+	0.0994436i	0.517242	+	0.855839i	$0.326959\pi$
$14$	−1.71901	+	0.843729i	−0.459426	+	0.225496i
$15$	−0.262275	+	3.86409i	−0.0677192	+	0.997704i
$16$	−1.00633	−	3.87134i	−0.251584	−	0.967836i
$17$	−0.0925901	+	0.284963i	−0.0224564	+	0.0691136i	−0.961657	−	0.274256i	$-0.911568\pi$
$17$	−0.0925901	+	0.284963i	−0.0224564	+	0.0691136i	0.939200	+	0.343370i	$0.111568\pi$
$18$	−0.493307	−	4.21386i	−0.116273	−	0.993217i
$19$	−1.05711	+	3.25347i	−0.242519	+	0.746396i	0.753516	+	0.657430i	$0.228356\pi$
$19$	−1.05711	+	3.25347i	−0.242519	+	0.746396i	−0.996035	+	0.0889663i	$0.971644\pi$
$20$	−4.35512	+	1.01631i	−0.973835	+	0.227255i
$21$	−1.35414	−	1.91485i	−0.295497	−	0.417854i
$22$	1.19256	−	6.86336i	0.254256	−	1.46327i
$23$	5.12976	−	7.06050i	1.06963	−	1.47222i	0.199176	−	0.979964i	$-0.436173\pi$
$23$	5.12976	−	7.06050i	1.06963	−	1.47222i	0.870452	−	0.492253i	$-0.163827\pi$
$24$	4.48596	−	1.96879i	0.915694	−	0.401877i
$25$	1.01391	+	4.89612i	0.202783	+	0.979224i
$26$	0.403099	−	0.762700i	0.0790543	−	0.149578i
$27$	4.99980	−	1.41493i	0.962211	−	0.272304i
$28$	1.65661	−	2.14229i	0.313070	−	0.404855i
$29$	0.862099	+	2.65327i	0.160088	+	0.492699i	0.998641	−	0.0521206i	$-0.0165980\pi$
$29$	0.862099	+	2.65327i	0.160088	+	0.492699i	−0.838553	+	0.544820i	$0.816598\pi$
$30$	−2.07481	−	5.06904i	−0.378807	−	0.925476i
$31$	8.87313	+	2.88306i	1.59366	+	0.517812i	0.965529	−	0.260295i	$-0.0838197\pi$
$31$	8.87313	+	2.88306i	1.59366	+	0.517812i	0.628132	+	0.778107i	$0.283820\pi$
$32$	3.68988	+	4.28775i	0.652284	+	0.757974i
$33$	8.53112	+	0.109127i	1.48508	+	0.0189965i
$34$	−0.0600186	−	0.419465i	−0.0102931	−	0.0719377i
$35$	−2.34800	−	1.91158i	−0.396884	−	0.323116i
$36$	3.25200	+	5.04227i	0.542000	+	0.840378i
$37$	−7.54579	+	5.48234i	−1.24052	+	0.901290i	−0.997633	−	0.0687642i	$-0.978094\pi$
$37$	−7.54579	+	5.48234i	−1.24052	+	0.901290i	−0.242887	+	0.970055i	$0.578094\pi$
$38$	−0.685241	−	4.78910i	−0.111161	−	0.776895i
$39$	1.00058	+	0.339318i	0.160221	+	0.0543344i
$40$	4.89571	−	4.00400i	0.774080	−	0.633088i
$41$	4.00253	+	5.50901i	0.625090	+	0.860363i	0.997711	−	0.0676208i	$-0.0215408\pi$
$41$	4.00253	+	5.50901i	0.625090	+	0.860363i	−0.372621	+	0.927984i	$0.621541\pi$
$42$	2.91230	+	1.58718i	0.449378	+	0.244908i
$43$		−	10.1955i		−	1.55480i	−0.629005	−	0.777401i	$-0.716538\pi$
$43$		−	10.1955i		−	1.55480i	0.629005	−	0.777401i	$-0.283462\pi$
$44$	2.76267	+	9.45640i	0.416488	+	1.42561i
$45$	5.72676	−	3.49345i	0.853695	−	0.520773i
$46$	−2.11290	+	12.1600i	−0.311530	+	1.79290i
$47$	−2.63826	+	0.857223i	−0.384830	+	0.125039i	−0.495041	−	0.868869i	$-0.664847\pi$
$47$	−2.63826	+	0.857223i	−0.384830	+	0.125039i	0.110212	+	0.993908i	$0.464847\pi$
$48$	−4.46832	+	5.29473i	−0.644946	+	0.764228i
$49$	−5.16656			−0.738080
$50$	−4.33806	−	5.58402i	−0.613494	−	0.789700i
$51$	0.495581	−	0.154045i	0.0693952	−	0.0215705i
$52$	−0.0364989	+	1.21945i	−0.00506148	+	0.169108i
$53$	7.26600	−	2.36087i	0.998062	−	0.324290i	0.235971	−	0.971760i	$-0.424173\pi$
$53$	7.26600	−	2.36087i	0.998062	−	0.324290i	0.762091	+	0.647470i	$0.224173\pi$
$54$	−5.46576	+	4.91177i	−0.743796	+	0.668407i
$55$	10.6466	−	2.82288i	1.43559	−	0.380637i
$56$	−0.768231	+	3.75198i	−0.102659	+	0.501379i
$57$	5.65812	−	1.75875i	0.749437	−	0.232952i
$58$	−2.74776	−	2.83123i	−0.360799	−	0.371759i
$59$	4.56256	+	6.27982i	0.593994	+	0.817563i	0.995142	−	0.0984503i	$-0.0313885\pi$
$59$	4.56256	+	6.27982i	0.593994	+	0.817563i	−0.401148	+	0.916013i	$0.631389\pi$
$60$	5.79265	+	5.14248i	0.747829	+	0.663892i
$61$	0.747413	−	1.02873i	0.0956964	−	0.131715i	−0.758484	−	0.651692i	$-0.774060\pi$
$61$	0.747413	−	1.02873i	0.0956964	−	0.131715i	0.854180	+	0.519977i	$0.174060\pi$
$62$	−13.0613	+	1.86885i	−1.65878	+	0.237344i
$63$	−1.35368	+	3.82995i	−0.170548	+	0.482529i
$64$	−7.35621	−	3.14424i	−0.919526	−	0.393030i
$65$	1.36194	+	0.0749552i	0.168928	+	0.00929705i
$66$	−10.8986	+	5.17734i	−1.34152	+	0.637287i
$67$	12.9946	+	4.22220i	1.58754	+	0.515824i	0.963986	−	0.265953i	$-0.0856864\pi$
$67$	12.9946	+	4.22220i	1.58754	+	0.515824i	0.623558	+	0.781777i	$0.285686\pi$
$68$	0.337572	+	0.495129i	0.0409366	+	0.0600432i
$69$	−15.1148	−	0.193343i	−1.81961	−	0.0232757i
$70$	4.17200	+	0.963744i	0.498650	+	0.115189i
$71$	0.895263	+	2.75533i	0.106248	+	0.326998i	0.990021	−	0.140917i	$-0.0450052\pi$
$71$	0.895263	+	2.75533i	0.106248	+	0.326998i	−0.883773	+	0.467915i	$0.845005\pi$
$72$	−7.27046	−	4.37498i	−0.856832	−	0.515596i
$73$	−4.88863	+	6.72862i	−0.572171	+	0.787526i	−0.992810	−	0.119702i	$-0.961806\pi$
$73$	−4.88863	+	6.72862i	−0.572171	+	0.787526i	0.420639	+	0.907228i	$0.361806\pi$
$74$	6.16353	−	11.6619i	0.716495	−	1.35567i
$75$	5.90994	−	6.33029i	0.682421	−	0.730959i
$76$	3.85411	+	5.65296i	0.442097	+	0.648439i
$77$	−3.92042	+	5.39600i	−0.446774	+	0.614931i
$78$	−1.48171	+	0.192702i	−0.167771	+	0.0218192i
$79$	4.36137	−	1.41709i	0.490692	−	0.159435i	−0.0532116	−	0.998583i	$-0.516946\pi$
$79$	4.36137	−	1.41709i	0.490692	−	0.159435i	0.543903	+	0.839148i	$0.316946\pi$
$80$	−3.72033	+	8.13383i	−0.415946	+	0.909389i
$81$	−7.00108	−	5.65551i	−0.777898	−	0.628390i
$82$	−8.51412	−	4.49985i	−0.940227	−	0.496925i
$83$	−3.63113	+	11.1755i	−0.398568	+	1.22667i	0.527579	+	0.849506i	$0.323100\pi$
$83$	−3.63113	+	11.1755i	−0.398568	+	1.22667i	−0.926148	+	0.377161i	$0.876900\pi$
$84$	−4.68628	−	0.200284i	−0.511315	−	0.0218528i
$85$	0.562853	−	0.363428i	0.0610500	−	0.0394193i
$86$	6.35300	+	12.9436i	0.685061	+	1.39574i
$87$	2.89000	−	3.87260i	0.309841	−	0.415186i
$88$	−9.39975	−	10.2838i	−1.00202	−	1.09626i
$89$	−4.57851	+	6.30178i	−0.485321	+	0.667987i	−0.979517	−	0.201364i	$-0.935463\pi$
$89$	−4.57851	+	6.30178i	−0.485321	+	0.667987i	0.494196	+	0.869351i	$0.335463\pi$
$90$	−5.09351	+	8.00351i	−0.536903	+	0.843644i
$91$	−0.668222	+	0.485492i	−0.0700488	+	0.0508934i
$92$	−4.89470	−	16.7542i	−0.510308	−	1.74674i
$93$	−4.79662	−	15.4313i	−0.497386	−	1.60015i
$94$	2.81522	−	2.73222i	0.290368	−	0.281807i
$95$	6.42618	−	4.14931i	0.659312	−	0.425711i
$96$	2.37346	−	9.50614i	0.242240	−	0.970216i
$97$	−6.42610	+	2.08797i	−0.652472	+	0.212001i	−0.616504	−	0.787352i	$-0.711451\pi$
$97$	−6.42610	+	2.08797i	−0.652472	+	0.212001i	−0.0359679	+	0.999353i	$0.511451\pi$
$98$	6.55914	−	3.21937i	0.662573	−	0.325205i
$99$	−8.37737	−	12.1735i	−0.841957	−	1.22349i
$100$	8.98682	+	4.38601i	0.898682	+	0.438601i
$101$	9.07705			0.903201			0.451600	−	0.892220i	$-0.350853\pi$
$101$	9.07705			0.903201			0.451600	+	0.892220i	$0.350853\pi$
$102$	−0.533171	+	0.504370i	−0.0527918	+	0.0499401i
$103$	2.64721	+	8.14728i	0.260838	+	0.802776i	0.992623	+	0.121241i	$0.0386873\pi$
$103$	2.64721	+	8.14728i	0.260838	+	0.802776i	−0.731785	+	0.681535i	$0.761313\pi$
$104$	−0.713525	−	1.57089i	−0.0699669	−	0.154038i
$105$	−0.355133	+	5.23216i	−0.0346574	+	0.510607i
$106$	−7.75336	+	7.52477i	−0.753073	+	0.730871i
$107$	13.5231			1.30733			0.653665	−	0.756784i	$-0.273231\pi$
$107$	13.5231			1.30733			0.653665	+	0.756784i	$0.273231\pi$
$108$	3.87839	−	9.64148i	0.373198	−	0.927752i
$109$	0.302746	+	0.416694i	0.0289978	+	0.0399120i	0.823270	−	0.567650i	$-0.192147\pi$
$109$	0.302746	+	0.416694i	0.0289978	+	0.0399120i	−0.794272	+	0.607562i	$0.792147\pi$
$110$	−11.7573	+	10.2179i	−1.12102	+	0.974234i
$111$	15.2992	+	5.18829i	1.45214	+	0.492450i
$112$	−1.36262	−	5.24198i	−0.128756	−	0.495320i
$113$	−0.187803	+	0.136447i	−0.0176670	+	0.0128358i	−0.596584	−	0.802551i	$-0.703476\pi$
$113$	−0.187803	+	0.136447i	−0.0176670	+	0.0128358i	0.578917	+	0.815387i	$0.303476\pi$
$114$	−6.08730	+	5.75847i	−0.570127	+	0.539330i
$115$	−18.8630	+	5.00138i	−1.75898	+	0.466381i
$116$	5.25257	+	1.88218i	0.487689	+	0.174756i
$117$	−0.520798	−	1.75433i	−0.0481477	−	0.162188i
$118$	−9.70540	−	5.12946i	−0.893455	−	0.472205i
$119$	−0.125371	+	0.385853i	−0.0114928	+	0.0353711i
$120$	−10.5584	−	2.91908i	−0.963842	−	0.266474i
$121$	−4.09879	−	12.6148i	−0.372617	−	1.14680i
$122$	−0.307853	+	1.77173i	−0.0278717	+	0.160405i
$123$	3.78785	−	11.1696i	0.341539	−	1.00713i
$124$	15.4172	−	10.5113i	1.38451	−	0.943939i
$125$	5.15392	−	9.92155i	0.460980	−	0.887410i
$126$	−0.667960	−	5.70577i	−0.0595066	−	0.508310i
$127$	−2.85780	−	2.07631i	−0.253589	−	0.184243i	0.453727	−	0.891141i	$-0.350094\pi$
$127$	−2.85780	−	2.07631i	−0.253589	−	0.184243i	−0.707316	+	0.706898i	$0.750094\pi$
$128$	11.2982	−	0.592049i	0.998630	−	0.0523303i
$129$	−14.4182	+	10.1962i	−1.26945	+	0.897726i
$130$	−1.77574	+	0.753489i	−0.155743	+	0.0660854i
$131$	3.66501	+	1.19083i	0.320213	+	0.104044i	0.464713	−	0.885461i	$-0.346157\pi$
$131$	3.66501	+	1.19083i	0.320213	+	0.104044i	−0.144500	+	0.989505i	$0.546157\pi$
$132$	10.6101	−	13.3639i	0.923487	−	1.16318i
$133$	−1.43138	+	4.40534i	−0.124117	+	0.381992i
$134$	−19.1281	+	2.73691i	−1.65241	+	0.236433i
$135$	−10.6675	−	4.60490i	−0.918110	−	0.396326i
$136$	−0.737083	−	0.418238i	−0.0632043	−	0.0358636i
$137$	−8.08161	+	5.87163i	−0.690458	+	0.501647i	−0.876811	−	0.480836i	$-0.840333\pi$
$137$	−8.08161	+	5.87163i	−0.690458	+	0.501647i	0.186352	+	0.982483i	$0.440333\pi$
$138$	19.3093	−	9.17285i	1.64372	−	0.780844i
$139$	−5.91331	−	4.29627i	−0.501560	−	0.364405i	0.308052	−	0.951369i	$-0.400323\pi$
$139$	−5.91331	−	4.29627i	−0.501560	−	0.364405i	−0.809613	+	0.586965i	$0.800323\pi$
$140$	−5.89704	+	1.37614i	−0.498391	+	0.116305i
$141$	3.85069	+	2.87366i	0.324287	+	0.242005i
$142$	−2.85346	−	2.94015i	−0.239457	−	0.246732i
$143$		−	3.00477i		−	0.251271i
$144$	11.9562	+	1.02385i	0.996354	+	0.0853211i
$145$	2.25082	−	5.81799i	0.186921	−	0.483158i
$146$	2.01358	−	11.5884i	0.166645	−	0.959065i
$147$	5.16691	+	7.30637i	0.426159	+	0.602619i
$148$	−0.558080	+	18.6459i	−0.0458739	+	1.53268i
$149$	−4.30697			−0.352841			−0.176421	−	0.984315i	$-0.556452\pi$
$149$	−4.30697			−0.352841			−0.176421	+	0.984315i	$0.556452\pi$
$150$	−3.55838	+	11.7191i	−0.290540	+	0.956863i
$151$		−	2.50803i		−	0.204100i	−0.994779	−	0.102050i	$-0.967460\pi$
$151$		−	2.50803i		−	0.204100i	0.994779	−	0.102050i	$-0.0325402\pi$
$152$	−8.41539	−	4.77508i	−0.682578	−	0.387311i
$153$	−0.713459	−	0.546779i	−0.0576797	−	0.0442044i
$154$	1.61479	−	9.29331i	0.130123	−	0.748876i
$155$	−11.3164	−	17.5260i	−0.908952	−	1.40773i
$156$	1.76101	−	1.16792i	0.140994	−	0.0935085i
$157$	3.41316			0.272400			0.136200	−	0.990681i	$-0.456511\pi$
$157$	3.41316			0.272400			0.136200	+	0.990681i	$0.456511\pi$
$158$	−4.65390	+	4.51669i	−0.370245	+	0.359329i
$159$	−10.6051	−	7.91430i	−0.841043	−	0.627645i
$160$	−0.345222	−	12.6444i	−0.0272922	−	0.999627i
$161$	6.94593	−	9.56025i	0.547416	−	0.753453i
$162$	12.4122	+	2.81739i	0.975193	+	0.221355i
$163$	4.24956	+	5.84902i	0.332851	+	0.458131i	0.942337	−	0.334667i	$-0.108624\pi$
$163$	4.24956	+	5.84902i	0.332851	+	0.458131i	−0.609485	+	0.792798i	$0.708624\pi$
$164$	13.6129	+	0.407442i	1.06299	+	0.0318158i
$165$	−14.6394	−	12.2330i	−1.13968	−	0.952342i
$166$	−2.35377	−	16.4503i	−0.182688	−	1.27679i
$167$	−21.0308	−	6.83331i	−1.62741	−	0.528777i	−0.653735	−	0.756724i	$-0.726799\pi$
$167$	−21.0308	−	6.83331i	−1.62741	−	0.528777i	−0.973674	+	0.227946i	$0.926799\pi$
$168$	6.07421	−	2.66583i	0.468635	−	0.205673i
$169$	−3.90224	+	12.0098i	−0.300172	+	0.923834i
$170$	−0.488105	+	0.812109i	−0.0374360	+	0.0622859i
$171$	−8.14567	−	6.24266i	−0.622915	−	0.477388i
$172$	−16.1307	−	12.4737i	−1.22996	−	0.951112i
$173$	−9.38342	+	12.9152i	−0.713408	+	0.981923i	0.286309	+	0.958137i	$0.407572\pi$
$173$	−9.38342	+	12.9152i	−0.713408	+	0.981923i	−0.999717	+	0.0237851i	$0.992428\pi$
$174$	−1.25589	+	6.71721i	−0.0952085	+	0.509231i
$175$	1.37289	+	6.62957i	0.103781	+	0.501149i
$176$	18.3413	+	7.19851i	1.38253	+	0.542608i
$177$	4.31784	−	12.7325i	0.324549	−	0.957030i
$178$	1.88585	−	10.8533i	0.141350	−	0.813488i
$179$	7.26235	−	2.35968i	0.542813	−	0.176371i	−0.0247603	−	0.999693i	$-0.507882\pi$
$179$	7.26235	−	2.35968i	0.542813	−	0.176371i	0.567574	+	0.823323i	$0.307882\pi$
$180$	1.47928	−	13.3346i	0.110259	−	0.993903i
$181$	−8.66108	−	2.81415i	−0.643773	−	0.209174i	−0.0311064	−	0.999516i	$-0.509903\pi$
$181$	−8.66108	−	2.81415i	−0.643773	−	0.209174i	−0.612666	+	0.790342i	$0.709903\pi$
$182$	0.545815	−	1.03273i	0.0404585	−	0.0765511i
$183$	−2.20225	−	0.0281703i	−0.162795	−	0.00208241i
$184$	16.6538	+	18.2201i	1.22774	+	1.34320i
$185$	20.8245	+	1.14609i	1.53105	+	0.0842622i
$186$	15.7050	+	16.6018i	1.15155	+	1.21730i
$187$	−0.867524	−	1.19404i	−0.0634396	−	0.0873171i
$188$	−1.87154	+	5.22287i	−0.136496	+	0.380917i
$189$	6.76996	−	1.91588i	0.492442	−	0.139360i
$190$	−5.57277	+	9.27197i	−0.404292	+	0.672659i
$191$	0.891290	−	0.647560i	0.0644915	−	0.0468558i	−0.555072	−	0.831802i	$-0.687309\pi$
$191$	0.891290	−	0.647560i	0.0644915	−	0.0468558i	0.619564	+	0.784946i	$0.287309\pi$
$192$	2.91023	+	13.5473i	0.210028	+	0.977695i
$193$			13.7764i			0.991645i	0.868424	+	0.495822i	$0.165133\pi$
$193$			13.7764i			0.991645i	−0.868424	+	0.495822i	$0.834867\pi$
$194$	6.85713	−	6.65496i	0.492313	−	0.477798i
$195$	−1.25603	−	2.00097i	−0.0899464	−	0.143292i
$196$	−6.32103	+	8.17422i	−0.451502	+	0.583873i
$197$	−3.53298	+	1.14794i	−0.251715	+	0.0817870i	−0.432157	−	0.901799i	$-0.642247\pi$
$197$	−3.53298	+	1.14794i	−0.251715	+	0.0817870i	0.180442	+	0.983586i	$0.442247\pi$
$198$	18.2209	+	10.2347i	1.29490	+	0.727348i
$199$			17.7707i			1.25973i	0.776705	+	0.629864i	$0.216889\pi$
$199$			17.7707i			1.25973i	−0.776705	+	0.629864i	$0.783111\pi$
$200$	−14.1421	+	0.0316365i	−0.999997	+	0.00223704i
$201$	−7.02459	−	22.5990i	−0.495477	−	1.59401i
$202$	−11.5237	+	5.65606i	−0.810802	+	0.397959i
$203$	1.16732	+	3.59265i	0.0819299	+	0.252154i
$204$	0.362599	−	0.972545i	0.0253870	−	0.0680917i
$205$	0.836735	−	15.2035i	0.0584401	−	1.06186i
$206$	−8.43745	−	8.69376i	−0.587865	−	0.605723i
$207$	14.8424	+	21.5682i	1.03162	+	1.49910i
$208$	1.88469	+	1.54969i	0.130680	+	0.107452i
$209$	−9.90465	−	13.6326i	−0.685119	−	0.942986i
$210$	−2.80939	−	6.86371i	−0.193867	−	0.473641i
$211$	−6.81950	−	4.95465i	−0.469473	−	0.341092i	0.327763	−	0.944760i	$-0.393705\pi$
$211$	−6.81950	−	4.95465i	−0.469473	−	0.341092i	−0.797236	+	0.603668i	$0.793705\pi$
$212$	5.15437	−	14.3842i	0.354004	−	0.987913i
$213$	3.00118	−	4.02157i	0.205637	−	0.275554i
$214$	−17.1681	+	8.42648i	−1.17359	+	0.576022i
$215$	−14.3935	+	17.6796i	−0.981631	+	1.20574i
$216$	1.08401	+	14.6569i	0.0737576	+	0.997276i
$217$	12.0146	+	3.90379i	0.815606	+	0.265007i
$218$	−0.643996	−	0.340363i	−0.0436169	−	0.0230523i
$219$	14.4044	+	0.184255i	0.973356	+	0.0124508i
$220$	8.55946	−	20.2981i	0.577079	−	1.36850i
$221$	−0.0564799	−	0.173827i	−0.00379925	−	0.0116929i
$222$	−22.6559	+	2.94648i	−1.52056	+	0.197755i
$223$	3.05763	+	2.22150i	0.204754	+	0.148762i	0.685437	−	0.728132i	$-0.259611\pi$
$223$	3.05763	+	2.22150i	0.204754	+	0.148762i	−0.480683	+	0.876894i	$0.659611\pi$
$224$	4.99627	+	5.80581i	0.333827	+	0.387917i
$225$	−14.8624	−	2.02691i	−0.990828	−	0.135127i
$226$	0.153400	−	0.290247i	0.0102040	−	0.0193069i
$227$	−21.6733	−	15.7466i	−1.43851	−	1.04514i	−0.988351	−	0.152189i	$-0.951368\pi$
$227$	−21.6733	−	15.7466i	−1.43851	−	1.04514i	−0.450158	−	0.892949i	$-0.648632\pi$
$228$	4.13985	−	11.1037i	0.274168	−	0.735360i
$229$	−3.12364	+	1.01493i	−0.206416	+	0.0670686i	−0.410400	−	0.911906i	$-0.634611\pi$
$229$	−3.12364	+	1.01493i	−0.206416	+	0.0670686i	0.203984	+	0.978974i	$0.434611\pi$
$230$	20.8308	−	18.1033i	1.37354	−	1.19369i
$231$	11.5515	+	0.147762i	0.760035	+	0.00972205i
$232$	−7.84116	+	0.883467i	−0.514797	+	0.0580025i
$233$	3.19381	−	9.82954i	0.209234	−	0.643955i	−0.790279	−	0.612747i	$-0.790065\pi$
$233$	3.19381	−	9.82954i	0.209234	−	0.643955i	0.999513	−	0.0312080i	$-0.00993542\pi$
$234$	1.75432	+	1.90267i	0.114684	+	0.124381i
$235$	5.78508	+	2.23809i	0.377377	+	0.145997i
$236$	15.5176	+	0.464450i	1.01011	+	0.0302331i
$237$	−6.36567	−	4.75050i	−0.413494	−	0.308578i
$238$	−0.0812680	−	0.567976i	−0.00526782	−	0.0368164i
$239$	−17.7848	−	12.9214i	−1.15040	−	0.835817i	−0.161869	−	0.986812i	$-0.551752\pi$
$239$	−17.7848	−	12.9214i	−1.15040	−	0.835817i	−0.988534	+	0.150996i	$0.951752\pi$
$240$	15.2232	−	2.87321i	0.982651	−	0.185465i
$241$	9.07195	−	6.59115i	0.584375	−	0.424574i	−0.255923	−	0.966697i	$-0.582380\pi$
$241$	9.07195	−	6.59115i	0.584375	−	0.424574i	0.840299	+	0.542123i	$0.182380\pi$
$242$	13.0640	+	13.4609i	0.839788	+	0.865299i
$243$	−0.996272	+	15.5566i	−0.0639109	+	0.997956i
$244$	−0.713165	−	2.44111i	−0.0456557	−	0.156276i
$245$	8.95911	+	7.29390i	0.572377	+	0.465990i
$246$	2.15116	+	16.5405i	0.137153	+	1.05459i
$247$	−0.644840	−	1.98461i	−0.0410302	−	0.126278i
$248$	−13.0230	+	22.9512i	−0.826963	+	1.45740i
$249$	19.4353	−	6.04121i	1.23166	−	0.382846i
$250$	−0.360809	+	15.8073i	−0.0228195	+	0.999740i
$251$			20.1994i			1.27498i	0.770460	+	0.637489i	$0.220027\pi$
$251$			20.1994i			1.27498i	−0.770460	+	0.637489i	$0.779973\pi$
$252$	4.40336	+	6.82747i	0.277386	+	0.430090i
$253$	13.2844	+	40.8851i	0.835182	+	2.57042i
$254$	4.92187	+	0.855215i	0.308826	+	0.0536609i
$255$	−1.07684	−	0.432515i	−0.0674343	−	0.0270852i
$256$	−13.9746	+	7.79173i	−0.873411	+	0.486983i
$257$	−5.30282			−0.330781			−0.165391	−	0.986228i	$-0.552888\pi$
$257$	−5.30282			−0.330781			−0.165391	+	0.986228i	$0.552888\pi$
$258$	11.9510	−	21.9287i	0.744034	−	1.36522i
$259$	−10.2173	+	7.42334i	−0.634875	+	0.461264i
$260$	1.78486	−	2.06308i	0.110692	−	0.127947i
$261$	−8.36669	−	0.214082i	−0.517885	−	0.0132513i
$262$	−5.39490	+	0.771921i	−0.333298	+	0.0476894i
$263$	13.7770	+	18.9624i	0.849526	+	1.16927i	0.983967	+	0.178351i	$0.0570761\pi$
$263$	13.7770	+	18.9624i	0.849526	+	1.16927i	−0.134441	+	0.990922i	$0.542924\pi$
$264$	−5.14259	+	23.5773i	−0.316505	+	1.45108i
$265$	−15.9326	−	6.16391i	−0.978733	−	0.378646i
$266$	−0.927849	−	6.48467i	−0.0568901	−	0.397600i
$267$	13.4906	+	0.172566i	0.825610	+	0.0105609i
$268$	22.5784	−	15.3936i	1.37919	−	0.940316i
$269$	−8.28295	+	25.4923i	−0.505020	+	1.55429i	0.295717	+	0.955276i	$0.404442\pi$
$269$	−8.28295	+	25.4923i	−0.505020	+	1.55429i	−0.800737	+	0.599016i	$0.795558\pi$
$270$	16.4121	−	0.800990i	0.998811	−	0.0487467i
$271$	−1.61140	+	0.523576i	−0.0978856	+	0.0318049i	−0.357550	−	0.933894i	$-0.616388\pi$
$271$	−1.61140	+	0.523576i	−0.0978856	+	0.0318049i	0.259665	+	0.965699i	$0.416388\pi$
$272$	1.19637	+	0.0716798i	0.0725403	+	0.00434623i
$273$	1.35483	+	0.459452i	0.0819983	+	0.0278073i
$274$	6.60119	−	12.4900i	0.398793	−	0.754551i
$275$	−22.4471	−	10.1354i	−1.35361	−	0.611186i
$276$	−18.7981	+	23.6772i	−1.13152	+	1.42520i
$277$	6.86369	+	4.98676i	0.412399	+	0.299626i	0.774572	−	0.632485i	$-0.217965\pi$
$277$	6.86369	+	4.98676i	0.412399	+	0.299626i	−0.362173	+	0.932111i	$0.617965\pi$
$278$	10.1842	+	1.76960i	0.610810	+	0.106133i
$279$	−17.0255	+	22.2156i	−1.01929	+	1.33001i
$280$	6.62902	−	5.42160i	0.396160	−	0.324003i
$281$	10.3724	+	3.37020i	0.618767	+	0.201049i	0.601593	−	0.798803i	$-0.294533\pi$
$281$	10.3724	+	3.37020i	0.618767	+	0.201049i	0.0171740	+	0.999853i	$0.494533\pi$
$282$	−6.67922	−	1.24878i	−0.397742	−	0.0743639i
$283$	21.3988	+	6.95289i	1.27203	+	0.413306i	0.865765	−	0.500451i	$-0.166832\pi$
$283$	21.3988	+	6.95289i	1.27203	+	0.413306i	0.406261	+	0.913757i	$0.366832\pi$
$284$	5.45464	+	1.95459i	0.323673	+	0.115983i
$285$	−12.2944	−	4.93809i	−0.728259	−	0.292507i
$286$	1.87232	+	3.81466i	0.110713	+	0.225566i
$287$	5.41961	+	7.45946i	0.319910	+	0.440318i
$288$	−15.8169	+	6.15031i	−0.932018	+	0.362411i
$289$	13.6807	+	9.93958i	0.804745	+	0.584681i
$290$	0.767779	+	8.78868i	0.0450855	+	0.516089i
$291$	9.37926	+	6.99946i	0.549822	+	0.410316i
$292$	4.66462	+	15.9666i	0.272976	+	0.934377i
$293$		−	11.9811i		−	0.699943i	−0.936760	−	0.349971i	$-0.886191\pi$
$293$		−	11.9811i		−	0.699943i	0.936760	−	0.349971i	$-0.113809\pi$
$294$	−11.1123	−	6.05612i	−0.648083	−	0.353200i
$295$	0.953809	−	17.3308i	0.0555329	−	1.00904i
$296$	−10.9100	−	24.0194i	−0.634133	−	1.39610i
$297$	−8.83747	+	24.0214i	−0.512802	+	1.39386i
$298$	5.46787	−	2.68375i	0.316745	−	0.155465i
$299$			5.32363i			0.307874i
$300$	−2.78489	−	17.0952i	−0.160786	−	0.986989i
$301$		−	13.8052i		−	0.795719i
$302$	1.56279	+	3.18404i	0.0899287	+	0.183221i
$303$	−9.07767	−	12.8365i	−0.521498	−	0.737435i
$304$	13.6591	+	0.818380i	0.783402	+	0.0469373i
$305$	−2.74836	+	0.728709i	−0.157371	+	0.0417257i
$306$	1.24647	+	0.249588i	0.0712559	+	0.0142680i
$307$		−	27.6756i		−	1.57953i	−0.613408	−	0.789766i	$-0.710202\pi$
$307$		−	27.6756i		−	1.57953i	0.613408	−	0.789766i	$-0.289798\pi$
$308$	3.74078	+	12.8044i	0.213151	+	0.729599i
$309$	8.87422	−	11.8914i	0.504837	−	0.676480i
$310$	25.2873	+	15.1986i	1.43622	+	0.863220i
$311$	10.8064	+	7.85134i	0.612777	+	0.445209i	0.850391	−	0.526151i	$-0.176365\pi$
$311$	10.8064	+	7.85134i	0.612777	+	0.445209i	−0.237614	+	0.971360i	$0.576365\pi$
$312$	−1.50792	+	2.58004i	−0.0853691	+	0.146066i
$313$	15.4509	+	21.2664i	0.873339	+	1.20205i	0.978222	+	0.207563i	$0.0665533\pi$
$313$	15.4509	+	21.2664i	0.873339	+	1.20205i	−0.104883	+	0.994485i	$0.533447\pi$
$314$	−4.33313	+	2.12680i	−0.244533	+	0.120022i
$315$	7.75430	−	4.73030i	0.436905	−	0.266522i
$316$	3.09388	−	8.63404i	0.174044	−	0.485702i
$317$	6.17514	+	2.00642i	0.346830	+	0.112692i	0.477252	−	0.878767i	$-0.341633\pi$
$317$	6.17514	+	2.00642i	0.346830	+	0.112692i	−0.130421	+	0.991459i	$0.541633\pi$
$318$	18.3952	+	3.43926i	1.03155	+	0.192864i
$319$	−13.0696	−	4.24656i	−0.731756	−	0.237762i
$320$	8.31721	+	15.8374i	0.464946	+	0.885339i
$321$	−13.5240	−	19.1239i	−0.754838	−	1.06739i
$322$	−2.86097	+	16.4652i	−0.159435	+	0.917571i
$323$	−0.829238	−	0.602477i	−0.0461401	−	0.0335227i
$324$	−17.5133	+	4.15745i	−0.972961	+	0.230970i
$325$	−2.25587	−	2.05270i	−0.125133	−	0.113863i
$326$	−9.03960	−	4.77758i	−0.500657	−	0.264606i
$327$	0.286508	−	0.844855i	0.0158439	−	0.0467206i
$328$	−17.5360	+	7.96518i	−0.968264	+	0.439803i
$329$	−3.57233	+	1.16072i	−0.196949	+	0.0639925i
$330$	26.2079	+	6.40827i	1.44270	+	0.352763i
$331$	0.895770	−	2.75690i	0.0492360	−	0.151533i	−0.923416	−	0.383801i	$-0.874615\pi$
$331$	0.895770	−	2.75690i	0.0492360	−	0.151533i	0.972652	+	0.232268i	$0.0746148\pi$
$332$	13.2387	+	19.4176i	0.726565	+	1.06568i
$333$	−7.96317	−	26.8243i	−0.436379	−	1.46996i
$334$	30.9573	−	4.42948i	1.69391	−	0.242370i
$335$	−16.5727	−	25.6667i	−0.905464	−	1.40232i
$336$	−6.05031	+	7.16931i	−0.330071	+	0.391118i
$337$	−3.78165	−	5.20500i	−0.206000	−	0.283534i	0.693499	−	0.720458i	$-0.256068\pi$
$337$	−3.78165	−	5.20500i	−0.206000	−	0.283534i	−0.899499	+	0.436923i	$0.856068\pi$
$338$	−2.52950	−	17.6785i	−0.137587	−	0.961584i
$339$	0.380773	+	0.129128i	0.0206808	+	0.00701328i
$340$	0.113630	−	1.33515i	0.00616243	−	0.0724086i
$341$	−37.1800	+	27.0128i	−2.01341	+	1.46283i
$342$	14.2311	+	2.84958i	0.769532	+	0.154088i
$343$	−16.4741			−0.889517
$344$	28.2512	+	5.78452i	1.52320	+	0.311881i
$345$	25.9370	+	21.6737i	1.39640	+	1.16687i
$346$	3.86495	−	22.2433i	0.207781	−	1.19581i
$347$	−4.65608	−	14.3299i	−0.249951	−	0.769271i	−0.994783	−	0.102018i	$-0.967470\pi$
$347$	−4.65608	−	14.3299i	−0.249951	−	0.769271i	0.744831	−	0.667253i	$-0.232530\pi$
$348$	−2.59121	−	9.31032i	−0.138904	−	0.499086i
$349$		−	16.2202i		−	0.868248i	−0.900853	−	0.434124i	$-0.857058\pi$
$349$		−	16.2202i		−	0.868248i	0.900853	−	0.434124i	$-0.142942\pi$
$350$	−5.87393	−	7.56102i	−0.313975	−	0.404154i
$351$	−1.96008	+	2.49094i	−0.104621	+	0.132957i
$352$	−27.7705	+	2.29001i	−1.48017	+	0.122058i
$353$	−5.75255	−	17.7045i	−0.306177	−	0.942317i	−0.979235	−	0.202727i	$-0.935020\pi$
$353$	−5.75255	−	17.7045i	−0.306177	−	0.942317i	0.673058	−	0.739590i	$-0.264980\pi$
$354$	2.45215	+	18.8549i	0.130330	+	1.00212i
$355$	2.33741	−	6.04180i	0.124057	−	0.320665i
$356$	4.36871	+	14.9538i	0.231541	+	0.792548i
$357$	0.671040	−	0.208583i	0.0355152	−	0.0110394i
$358$	−7.74947	+	7.52099i	−0.409572	+	0.397497i
$359$	22.2922	−	16.1963i	1.17654	−	0.854806i	0.184762	−	0.982783i	$-0.440848\pi$
$359$	22.2922	−	16.1963i	1.17654	−	0.854806i	0.991777	+	0.127977i	$0.0408484\pi$
$360$	6.43102	+	17.8505i	0.338944	+	0.940806i
$361$	5.90378	+	4.28935i	0.310725	+	0.225755i
$362$	12.7491	−	1.82419i	0.670078	−	0.0958771i
$363$	−13.7403	+	18.4120i	−0.721179	+	0.966378i
$364$	−0.0494212	+	1.65120i	−0.00259037	+	0.0865463i
$365$	17.9763	−	4.76629i	0.940924	−	0.249479i
$366$	2.81340	−	1.33650i	0.147059	−	0.0698598i
$367$	−4.98639	+	15.3465i	−0.260288	+	0.801083i	0.732454	+	0.680816i	$0.238375\pi$
$367$	−4.98639	+	15.3465i	−0.260288	+	0.801083i	−0.992742	+	0.120266i	$0.961625\pi$
$368$	−32.4959	−	12.7538i	−1.69396	−	0.664839i
$369$	−19.5838	+	5.81373i	−1.01949	+	0.302651i
$370$	−27.1517	+	11.5211i	−1.41155	+	0.598954i
$371$	9.83850	−	3.19672i	0.510790	−	0.165966i
$372$	−30.2829	−	11.2906i	−1.57010	−	0.585388i
$373$	−26.3670	−	19.1568i	−1.36523	−	0.991900i	−0.998093	−	0.0617347i	$-0.980337\pi$
$373$	−26.3670	−	19.1568i	−1.36523	−	0.991900i	−0.367141	−	0.930165i	$-0.619663\pi$
$374$	1.84538	+	0.975315i	0.0954225	+	0.0504323i
$375$	−19.1850	+	2.63373i	−0.990708	+	0.136005i
$376$	−0.878470	−	7.79681i	−0.0453036	−	0.402090i
$377$	−1.37677	−	1.00028i	−0.0709074	−	0.0515172i
$378$	−7.40090	+	6.65076i	−0.380661	+	0.342078i
$379$	10.2264	+	31.4735i	0.525294	+	1.61669i	0.763734	+	0.645531i	$0.223364\pi$
$379$	10.2264	+	31.4735i	0.525294	+	1.61669i	−0.238441	+	0.971157i	$0.576636\pi$
$380$	1.29733	−	15.2436i	0.0665514	−	0.781980i
$381$	−0.0782571	+	6.11786i	−0.00400923	+	0.313427i
$382$	−0.728021	+	1.37748i	−0.0372488	+	0.0704780i
$383$	−11.7509	−	3.81810i	−0.600443	−	0.195096i	−0.00700502	−	0.999975i	$-0.502230\pi$
$383$	−11.7509	−	3.81810i	−0.600443	−	0.195096i	−0.593438	+	0.804880i	$0.702230\pi$
$384$	−12.1362	−	15.3854i	−0.619324	−	0.785135i
$385$	14.4161	−	3.82231i	0.734710	−	0.194803i
$386$	−8.58429	−	17.4896i	−0.436929	−	0.890198i
$387$	28.8383	+	10.1928i	1.46593	+	0.518127i
$388$	−4.55856	+	12.7215i	−0.231426	+	0.645837i
$389$	−3.34043	−	2.42696i	−0.169366	−	0.123052i	0.499873	−	0.866099i	$-0.333380\pi$
$389$	−3.34043	−	2.42696i	−0.169366	−	0.123052i	−0.669240	+	0.743047i	$0.733380\pi$
$390$	2.84142	+	1.75765i	0.143881	+	0.0890021i
$391$	1.53702	+	2.11552i	0.0777303	+	0.106987i
$392$	2.93129	−	14.3162i	0.148053	−	0.723078i
$393$	−1.98122	−	6.37385i	−0.0999394	−	0.321518i
$394$	3.76996	−	3.65881i	0.189928	−	0.184328i
$395$	−9.56344	−	3.69984i	−0.481189	−	0.186159i
$396$	−29.5096	−	1.63956i	−1.48291	−	0.0823912i
$397$	9.01354	+	27.7408i	0.452377	+	1.39227i	0.874188	+	0.485588i	$0.161395\pi$
$397$	9.01354	+	27.7408i	0.452377	+	1.39227i	−0.421811	+	0.906684i	$0.638605\pi$
$398$	−11.0732	−	22.5605i	−0.555049	−	1.13086i
$399$	7.66136	−	2.38143i	0.383548	−	0.119221i
$400$	17.9342	−	8.85234i	0.896711	−	0.442617i
$401$		−	17.4360i		−	0.870713i	−0.900258	−	0.435357i	$-0.856622\pi$
$401$		−	17.4360i		−	0.870713i	0.900258	−	0.435357i	$-0.143378\pi$
$402$	22.9998	+	24.3132i	1.14713	+	1.21263i
$403$	−5.41261	+	1.75866i	−0.269621	+	0.0876053i
$404$	11.1053	−	14.3612i	0.552511	−	0.714495i
$405$	4.15611	+	19.6908i	0.206519	+	0.978443i
$406$	−3.72060	−	3.83362i	−0.184650	−	0.190259i
$407$		−	45.9439i		−	2.27735i
$408$	0.145675	+	1.46062i	0.00721201	+	0.0723116i
$409$	1.90165	−	1.38163i	0.0940307	−	0.0683173i	−0.539777	−	0.841808i	$-0.681491\pi$
$409$	1.90165	−	1.38163i	0.0940307	−	0.0683173i	0.633807	+	0.773491i	$0.281491\pi$
$410$	8.41130	+	19.8228i	0.415405	+	0.978980i
$411$	16.3856	+	5.55670i	0.808243	+	0.274092i
$412$	16.1289	+	5.77954i	0.794613	+	0.284738i
$413$	6.17792	+	8.50317i	0.303995	+	0.418414i
$414$	−32.2825	−	18.1331i	−1.58660	−	0.891193i
$415$	22.0736	−	14.2527i	1.08355	−	0.699636i
$416$	−3.35832	−	0.793005i	−0.164655	−	0.0388803i
$417$	−0.161928	+	12.6590i	−0.00792966	+	0.619912i
$418$	21.0690	+	11.1353i	1.03052	+	0.544646i
$419$	−6.82784	−	2.21850i	−0.333562	−	0.108381i	0.137447	−	0.990509i	$-0.456110\pi$
$419$	−6.82784	−	2.21850i	−0.333562	−	0.108381i	−0.471009	+	0.882128i	$0.656110\pi$
$420$	7.84352	+	6.96316i	0.382725	+	0.339768i
$421$	27.9347	−	9.07653i	1.36145	−	0.442363i	0.464925	−	0.885350i	$-0.346081\pi$
$421$	27.9347	−	9.07653i	1.36145	−	0.442363i	0.896528	+	0.442987i	$0.146081\pi$
$422$	11.7449	+	2.04078i	0.571734	+	0.0993435i
$423$	0.212871	−	8.31937i	0.0103501	−	0.404502i
$424$	2.41938	+	21.4731i	0.117496	+	1.04283i
$425$	−1.48909	−	0.164404i	−0.0722315	−	0.00797476i
$426$	−1.30420	+	6.97562i	−0.0631886	+	0.337970i
$427$	1.01203	−	1.39294i	0.0489757	−	0.0674092i
$428$	16.5449	−	21.3955i	0.799727	−	1.03419i
$429$	−4.24924	+	3.00497i	−0.205155	+	0.145081i
$430$	7.25667	−	31.4138i	0.349948	−	1.51491i
$431$	6.32169	−	19.4562i	0.304505	−	0.937170i	−0.675356	−	0.737491i	$-0.736010\pi$
$431$	6.32169	−	19.4562i	0.304505	−	0.937170i	0.979861	−	0.199679i	$-0.0639898\pi$
$432$	−10.5092	−	17.9320i	−0.505622	−	0.862755i
$433$	−12.1201	−	3.93807i	−0.582457	−	0.189252i	0.00294415	−	0.999996i	$-0.499063\pi$
$433$	−12.1201	−	3.93807i	−0.582457	−	0.189252i	−0.585401	+	0.810744i	$0.699063\pi$
$434$	−17.6855	+	2.53051i	−0.848933	+	0.121468i
$435$	−10.4786	+	2.63534i	−0.502409	+	0.126355i
$436$	1.02966	+	0.0308183i	0.0493119	+	0.00147593i
$437$	17.5484	+	24.1532i	0.839452	+	1.15541i
$438$	−18.4017	+	8.74168i	−0.879266	+	0.417693i
$439$	19.9111	−	27.4053i	0.950306	−	1.30798i	−0.00108496	−	0.999999i	$-0.500345\pi$
$439$	19.9111	−	27.4053i	0.950306	−	1.30798i	0.951391	−	0.307985i	$-0.0996546\pi$
$440$	1.78156	+	31.1028i	0.0849325	+	1.48277i
$441$	5.16516	−	14.6137i	0.245960	−	0.695892i
$442$	0.180018	+	0.185487i	0.00856259	+	0.00882271i
$443$	−9.53938			−0.453230			−0.226615	−	0.973984i	$-0.572766\pi$
$443$	−9.53938			−0.453230			−0.226615	+	0.973984i	$0.572766\pi$
$444$	26.9265	−	17.8579i	1.27787	−	0.847499i
$445$	16.8359	−	4.46393i	0.798100	−	0.211611i
$446$	−5.26602	−	0.915014i	−0.249353	−	0.0433272i
$447$	4.30727	+	6.09078i	0.203727	+	0.288084i
$448$	−9.96065	−	4.25744i	−0.470596	−	0.201145i
$449$			11.3823i			0.537165i	0.963257	+	0.268583i	$0.0865552\pi$
$449$			11.3823i			0.537165i	−0.963257	+	0.268583i	$0.913445\pi$
$450$	20.1314	−	6.68778i	0.949004	−	0.315265i
$451$	−33.5426			−1.57946
$452$	−0.0138897	+	0.464066i	−0.000653317	+	0.0218278i
$453$	−3.54677	+	2.50820i	−0.166642	+	0.117845i
$454$	37.3271	+	6.48588i	1.75185	+	0.304397i
$455$	1.84413	+	0.101493i	0.0864542	+	0.00475806i
$456$	1.66320	+	16.6762i	0.0778864	+	0.780933i
$457$		−	20.5317i		−	0.960431i	−0.877150	−	0.480216i	$-0.840558\pi$
$457$		−	20.5317i		−	0.960431i	0.877150	−	0.480216i	$-0.159442\pi$
$458$	3.33316	−	3.23489i	0.155748	−	0.151156i
$459$	−0.0597282	+	1.55577i	−0.00278787	+	0.0726169i
$460$	−15.1650	+	35.9628i	−0.707074	+	1.67677i
$461$	1.91390	+	1.39053i	0.0891391	+	0.0647634i	0.631462	−	0.775407i	$-0.282455\pi$
$461$	1.91390	+	1.39053i	0.0891391	+	0.0647634i	−0.542323	+	0.840170i	$0.682455\pi$
$462$	−14.7572	+	7.01036i	−0.686566	+	0.326151i
$463$	−12.3095	+	8.94340i	−0.572073	+	0.415635i	−0.835858	−	0.548946i	$-0.815029\pi$
$463$	−12.3095	+	8.94340i	−0.572073	+	0.415635i	0.263785	+	0.964582i	$0.415029\pi$
$464$	9.40414	−	6.00755i	0.436576	−	0.278894i
$465$	−13.4676	+	33.5304i	−0.624545	+	1.55494i
$466$	2.07029	+	14.4691i	0.0959042	+	0.670268i
$467$	2.61692	−	8.05406i	0.121097	−	0.372698i	−0.872073	−	0.489376i	$-0.837225\pi$
$467$	2.61692	−	8.05406i	0.121097	−	0.372698i	0.993170	+	0.116678i	$0.0372246\pi$
$468$	−3.41276	−	1.32236i	−0.157755	−	0.0611262i
$469$	17.5953	+	5.71706i	0.812476	+	0.263989i
$470$	−8.73897	+	0.763436i	−0.403099	+	0.0352147i
$471$	−3.41339	−	4.82677i	−0.157281	−	0.222406i
$472$	−19.9896	+	9.07965i	−0.920097	+	0.417925i
$473$	40.6301	+	29.5195i	1.86817	+	1.35731i
$474$	11.0416	+	2.06439i	0.507156	+	0.0948206i
$475$	−17.0012	−	1.87702i	−0.780067	−	0.0861238i
$476$	0.457088	+	0.670427i	0.0209506	+	0.0307290i
$477$	−0.586265	+	22.9123i	−0.0268432	+	1.04908i
$478$	30.6300	+	5.32221i	1.40098	+	0.243432i
$479$	−11.4009	−	35.0885i	−0.520923	−	1.60323i	−0.772241	−	0.635330i	$-0.780864\pi$
$479$	−11.4009	−	35.0885i	−0.520923	−	1.60323i	0.251318	−	0.967905i	$-0.419136\pi$
$480$	−17.5360	+	13.1335i	−0.800407	+	0.599458i
$481$	1.75816	−	5.41107i	0.0801653	−	0.246724i
$482$	−7.41012	+	14.0206i	−0.337522	+	0.638621i
$483$	−20.4662	−	0.261795i	−0.931243	−	0.0119121i
$484$	−24.9730	−	8.94870i	−1.13514	−	0.406759i
$485$	14.0909	+	5.45140i	0.639836	+	0.247535i
$486$	−8.42877	−	20.3705i	−0.382337	−	0.924023i
$487$	−2.16532	+	1.57320i	−0.0981202	+	0.0712885i	−0.635764	−	0.771884i	$-0.719315\pi$
$487$	−2.16532	+	1.57320i	−0.0981202	+	0.0712885i	0.537643	+	0.843172i	$0.319315\pi$
$488$	2.42648	+	2.65469i	0.109842	+	0.120172i
$489$	4.02163	−	11.8590i	0.181865	−	0.536283i
$490$	−15.9189	−	3.67730i	−0.719142	−	0.166124i
$491$	17.8871	+	24.6194i	0.807232	+	1.11106i	0.991745	+	0.128230i	$0.0409294\pi$
$491$	17.8871	+	24.6194i	0.807232	+	1.11106i	−0.184512	+	0.982830i	$0.559071\pi$
$492$	−13.0377	−	19.6584i	−0.587783	−	0.886269i
$493$	−0.835904			−0.0376472
$494$	2.05529	+	2.11773i	0.0924721	+	0.0952812i
$495$	−2.65917	+	32.9364i	−0.119521	+	1.48038i
$496$	2.23196	−	37.2522i	0.100218	−	1.67268i
$497$	1.21223	+	3.73085i	0.0543758	+	0.167352i
$498$	−20.9095	+	19.7800i	−0.936978	+	0.886364i
$499$	14.9371			0.668675			0.334337	−	0.942453i	$-0.391488\pi$
$499$	14.9371			0.668675			0.334337	+	0.942453i	$0.391488\pi$
$500$	−9.39171	−	20.2928i	−0.420010	−	0.907519i
$501$	11.3688	+	36.5747i	0.507918	+	1.63404i
$502$	−12.5866	−	25.6440i	−0.561768	−	1.14455i
$503$	−2.23991	+	0.727792i	−0.0998728	+	0.0324506i	−0.358527	−	0.933519i	$-0.616721\pi$
$503$	−2.23991	+	0.727792i	−0.0998728	+	0.0324506i	0.258654	+	0.965970i	$0.416721\pi$
$504$	−9.84454	−	5.92392i	−0.438511	−	0.263872i
$505$	−15.7401	−	12.8145i	−0.700427	−	0.570240i
$506$	−42.3412	−	43.6275i	−1.88230	−	1.93948i
$507$	20.8864	−	6.49225i	0.927598	−	0.288331i
$508$	−6.78140	+	1.98117i	−0.300876	+	0.0879003i
$509$	16.3002	−	11.8428i	0.722495	−	0.524923i	−0.164686	−	0.986346i	$-0.552661\pi$
$509$	16.3002	−	11.8428i	0.722495	−	0.524923i	0.887180	+	0.461423i	$0.152661\pi$
$510$	1.63659	−	0.121902i	0.0724696	−	0.00539791i
$511$	−6.61944	+	9.11087i	−0.292827	+	0.403041i
$512$	12.8861	−	18.5997i	0.569491	−	0.821998i
$513$	−0.681926	+	17.7624i	−0.0301078	+	0.784230i
$514$	6.73213	−	3.30428i	0.296942	−	0.145745i
$515$	6.91152	−	17.8651i	0.304558	−	0.787229i
$516$	−1.50807	+	35.2861i	−0.0663892	+	1.55338i
$517$	4.22255	−	12.9957i	0.185707	−	0.571548i
$518$	8.34570	−	15.7908i	0.366689	−	0.693808i
$519$	27.6483	+	0.353665i	1.21362	+	0.0155242i
$520$	−0.980406	+	3.73133i	−0.0429936	+	0.163630i
$521$	28.9982	−	9.42209i	1.27043	−	0.412789i	0.405233	−	0.914213i	$-0.367190\pi$
$521$	28.9982	−	9.42209i	1.27043	−	0.412789i	0.865202	+	0.501424i	$0.167190\pi$
$522$	10.7552	−	4.94164i	0.470743	−	0.216290i
$523$	1.68705	−	2.32202i	0.0737693	−	0.101535i	−0.770538	−	0.637394i	$-0.780012\pi$
$523$	1.68705	−	2.32202i	0.0737693	−	0.101535i	0.844307	+	0.535859i	$0.180012\pi$
$524$	6.36803	−	4.34163i	0.278189	−	0.189665i
$525$	8.00233	−	8.57151i	0.349250	−	0.374091i
$526$	−29.3062	−	15.4888i	−1.27781	−	0.675344i
$527$	−1.64313	+	2.26157i	−0.0715758	+	0.0985156i
$528$	−8.16269	−	33.1367i	−0.355235	−	1.44209i
$529$	−16.4289	−	50.5630i	−0.714301	−	2.19839i
$530$	24.0679	−	2.10257i	1.04544	−	0.0913298i
$531$	−22.3239	+	6.62718i	−0.968777	+	0.287595i
$532$	5.21864	+	7.65437i	0.226257	+	0.331859i
$533$	−3.95050	−	1.28360i	−0.171115	−	0.0555987i
$534$	−17.2343	+	8.18712i	−0.745802	+	0.354292i
$535$	−23.4499	−	19.0913i	−1.01383	−	0.825388i
$536$	−19.0721	+	33.6118i	−0.823789	+	1.45181i
$537$	−10.5998	−	7.91032i	−0.457416	−	0.341356i
$538$	−5.36916	−	37.5247i	−0.231481	−	1.61780i
$539$	14.9589	−	20.5892i	0.644327	−	0.886840i
$540$	−20.3367	+	11.2436i	−0.875153	+	0.483846i
$541$	−12.5905	−	17.3294i	−0.541308	−	0.745047i	0.447493	−	0.894288i	$-0.352317\pi$
$541$	−12.5905	−	17.3294i	−0.541308	−	0.745047i	−0.988801	+	0.149241i	$0.952317\pi$
$542$	1.71948	−	1.66879i	0.0738582	−	0.0716806i
$543$	4.68198	+	15.0625i	0.200923	+	0.646396i
$544$	−1.56350	+	0.654475i	−0.0670343	+	0.0280604i
$545$	0.0632895	−	1.14997i	0.00271102	−	0.0492594i
$546$	−2.00631	+	0.260928i	−0.0858619	+	0.0111667i
$547$	0.957626	−	0.311152i	0.0409451	−	0.0133039i	−0.288473	−	0.957488i	$-0.593147\pi$
$547$	0.957626	−	0.311152i	0.0409451	−	0.0133039i	0.329418	+	0.944184i	$0.393147\pi$
$548$	−0.597709	+	19.9699i	−0.0255329	+	0.853072i
$549$	2.16256	+	3.14252i	0.0922960	+	0.134120i
$550$	34.8130	−	1.11992i	1.48443	−	0.0477537i
$551$	−9.54365			−0.406573
$552$	9.11128	−	41.7726i	0.387802	−	1.77796i
$553$	5.90549	−	1.91881i	0.251127	−	0.0815961i
$554$	−11.8211	−	2.05400i	−0.502228	−	0.0872662i
$555$	−19.2052	−	30.5955i	−0.815214	−	1.29871i
$556$	−14.0319	+	4.09941i	−0.595087	+	0.173854i
$557$		−	28.6998i		−	1.21605i	−0.793919	−	0.608024i	$-0.791962\pi$
$557$		−	28.6998i		−	1.21605i	0.793919	−	0.608024i	$-0.208038\pi$
$558$	7.77163	−	38.8124i	0.328999	−	1.64306i
$559$	3.65559	+	5.03149i	0.154615	+	0.212809i
$560$	−5.03750	+	11.0136i	−0.212873	+	0.465409i
$561$	−0.820993	+	2.42095i	−0.0346624	+	0.102212i
$562$	−15.2682	+	2.18463i	−0.644050	+	0.0921530i
$563$	−17.4213	+	12.6573i	−0.734220	+	0.533442i	−0.890896	−	0.454208i	$-0.849922\pi$
$563$	−17.4213	+	12.6573i	−0.734220	+	0.533442i	0.156675	+	0.987650i	$0.449922\pi$
$564$	9.25766	−	2.57656i	0.389818	−	0.108493i
$565$	0.518289	+	0.0285243i	0.0218046	+	0.00120003i
$566$	−31.4990	+	4.50699i	−1.32400	+	0.189443i
$567$	−9.47979	−	7.65783i	−0.398114	−	0.321599i
$568$	−8.14280	+	0.917453i	−0.341664	+	0.0384955i
$569$	−41.4511	−	13.4683i	−1.73772	−	0.564619i	−0.743190	−	0.669080i	$-0.766688\pi$
$569$	−41.4511	−	13.4683i	−1.73772	−	0.564619i	−0.994529	+	0.104461i	$0.966688\pi$
$570$	18.6853	−	1.39177i	0.782639	−	0.0582950i
$571$	−2.96960	−	9.13948i	−0.124274	−	0.382475i	0.869494	−	0.493943i	$-0.164445\pi$
$571$	−2.96960	−	9.13948i	−0.124274	−	0.382475i	−0.993768	+	0.111468i	$0.964445\pi$
$572$	−4.75396	−	3.67618i	−0.198773	−	0.153709i
$573$	−1.80711	−	0.612828i	−0.0754930	−	0.0256013i
$574$	−11.5285	−	6.09301i	−0.481191	−	0.254317i
$575$	39.7702	+	17.9572i	1.65853	+	0.748865i
$576$	16.2478	−	17.6638i	0.676990	−	0.735992i
$577$	−7.09976	+	9.77198i	−0.295567	+	0.406813i	−0.930812	−	0.365497i	$-0.880899\pi$
$577$	−7.09976	+	9.77198i	−0.295567	+	0.406813i	0.635246	+	0.772310i	$0.280899\pi$
$578$	−23.5616	−	4.09402i	−0.980034	−	0.170289i
$579$	19.4821	−	13.7773i	0.809647	−	0.572565i
$580$	−6.45110	−	10.6791i	−0.267867	−	0.443427i
$581$	−4.91672	+	15.1321i	−0.203980	+	0.627786i
$582$	−16.2688	−	3.04170i	−0.674364	−	0.126083i
$583$	−11.6293	+	35.7912i	−0.481635	+	1.48232i
$584$	−15.8710	−	17.3637i	−0.656747	−	0.718513i
$585$	−1.57358	+	3.77734i	−0.0650597	+	0.156174i
$586$	7.46562	+	15.2104i	0.308402	+	0.628338i
$587$	−15.0858	+	10.9604i	−0.622656	+	0.452386i	−0.853848	−	0.520522i	$-0.825737\pi$
$587$	−15.0858	+	10.9604i	−0.622656	+	0.452386i	0.231192	+	0.972908i	$0.425737\pi$
$588$	17.8812	+	0.764213i	0.737407	+	0.0315156i
$589$	−18.7598	+	25.8207i	−0.772986	+	1.06392i
$590$	9.58820	+	22.5964i	0.394740	+	0.930279i
$591$	5.15659	+	3.84821i	0.212114	+	0.158294i
$592$	28.8176	+	23.6953i	1.18440	+	0.973869i
$593$	20.1565			0.827729			0.413864	−	0.910339i	$-0.364179\pi$
$593$	20.1565			0.827729			0.413864	+	0.910339i	$0.364179\pi$
$594$	−3.74861	−	36.0028i	−0.153807	−	1.47721i
$595$	0.762130	−	0.492098i	0.0312443	−	0.0201741i
$596$	−5.26937	+	6.81424i	−0.215842	+	0.279122i
$597$	25.1306	−	17.7719i	1.02853	−	0.727354i
$598$	−3.31724	−	6.75855i	−0.135652	−	0.276378i
$599$	5.63497			0.230239			0.115119	−	0.993352i	$-0.463275\pi$
$599$	5.63497			0.230239			0.115119	+	0.993352i	$0.463275\pi$
$600$	14.1878	+	19.9676i	0.579214	+	0.815175i
$601$	15.9379			0.650121			0.325060	−	0.945693i	$-0.394615\pi$
$601$	15.9379			0.650121			0.325060	+	0.945693i	$0.394615\pi$
$602$	8.60225	+	17.5262i	0.350602	+	0.714316i
$603$	−24.9337	+	32.5345i	−1.01538	+	1.32491i
$604$	−3.96805	−	3.06845i	−0.161458	−	0.124853i
$605$	−10.7014	+	27.6612i	−0.435073	+	1.12459i
$606$	19.5231	+	10.6399i	0.793070	+	0.432217i
$607$	−38.1620			−1.54895			−0.774474	−	0.632606i	$-0.781985\pi$
$607$	−38.1620			−1.54895			−0.774474	+	0.632606i	$0.781985\pi$
$608$	−17.8507	+	7.47224i	−0.723940	+	0.303039i
$609$	3.91320	−	5.24368i	0.158571	−	0.212484i
$610$	3.03508	−	2.63767i	0.122887	−	0.106796i
$611$	0.994626	−	1.36899i	0.0402383	−	0.0553832i
$612$	−1.73796	+	0.459835i	−0.0702530	+	0.0185877i
$613$	37.9611	−	27.5804i	1.53323	−	1.11396i	0.578829	−	0.815449i	$-0.303510\pi$
$613$	37.9611	−	27.5804i	1.53323	−	1.11396i	0.954406	−	0.298511i	$-0.0964901\pi$
$614$	17.2451	+	35.1353i	0.695958	+	1.41794i
$615$	−22.3371	+	14.0213i	−0.900718	+	0.565392i
$616$	−12.7277	−	13.9247i	−0.512814	−	0.561043i
$617$	−4.96345	+	15.2759i	−0.199821	+	0.614986i	0.800065	+	0.599913i	$0.204798\pi$
$617$	−4.96345	+	15.2759i	−0.199821	+	0.614986i	−0.999886	+	0.0150731i	$0.995202\pi$
$618$	−3.85640	+	20.6263i	−0.155127	+	0.829711i
$619$	−10.3972	+	31.9993i	−0.417898	+	1.28616i	0.491734	+	0.870745i	$0.336363\pi$
$619$	−10.3972	+	31.9993i	−0.417898	+	1.28616i	−0.909633	+	0.415414i	$0.863637\pi$
$620$	−41.5737	−	3.53818i	−1.66964	−	0.142097i
$621$	15.6576	−	42.5593i	0.628318	−	1.70785i
$622$	−18.6115	−	3.23390i	−0.746253	−	0.129667i
$623$	−6.19951	+	8.53290i	−0.248378	+	0.341863i
$624$	0.306696	−	4.21506i	0.0122777	−	0.168737i
$625$	−22.9440	+	9.92849i	−0.917758	+	0.397140i
$626$	−32.8670	−	17.3708i	−1.31363	−	0.694275i
$627$	−9.37341	+	27.6403i	−0.374338	+	1.10385i
$628$	4.17583	−	5.40009i	0.166634	−	0.215487i
$629$	−0.863597	−	2.65788i	−0.0344339	−	0.105977i
$630$	−6.89685	+	10.8371i	−0.274777	+	0.431761i
$631$	−12.0720	−	3.92243i	−0.480578	−	0.156149i	0.0587022	−	0.998276i	$-0.481304\pi$
$631$	−12.0720	−	3.92243i	−0.480578	−	0.156149i	−0.539281	+	0.842126i	$0.681304\pi$
$632$	1.45222	+	12.8891i	0.0577661	+	0.512700i
$633$	−0.186743	+	14.5989i	−0.00742237	+	0.580254i
$634$	−9.08980	+	1.30060i	−0.361002	+	0.0516535i
$635$	2.02435	+	7.63495i	0.0803340	+	0.302984i
$636$	−25.4964	+	7.09607i	−1.01100	+	0.281377i
$637$	2.54970	−	1.85246i	0.101023	−	0.0733973i
$638$	19.2384	−	2.75270i	0.761657	−	0.108980i
$639$	−8.68855	−	0.222317i	−0.343714	−	0.00879473i
$640$	−20.4276	−	14.9236i	−0.807471	−	0.589908i
$641$	−13.3292	−	18.3460i	−0.526471	−	0.724625i	0.460116	−	0.887859i	$-0.347808\pi$
$641$	−13.3292	−	18.3460i	−0.526471	−	0.724625i	−0.986588	+	0.163233i	$0.947808\pi$
$642$	29.0857	+	15.8515i	1.14792	+	0.625609i
$643$		−	21.2126i		−	0.836542i	−0.908322	−	0.418271i	$-0.862636\pi$
$643$		−	21.2126i		−	0.836542i	0.908322	−	0.418271i	$-0.137364\pi$
$644$	−6.62765	−	22.6859i	−0.261166	−	0.893951i
$645$	39.3964	+	2.67403i	1.55123	+	0.105290i
$646$	1.42816	+	0.248155i	0.0561903	+	0.00976352i
$647$	26.3224	−	8.55268i	1.03484	−	0.336240i	0.258139	−	0.966108i	$-0.416891\pi$
$647$	26.3224	−	8.55268i	1.03484	−	0.336240i	0.776703	+	0.629867i	$0.216891\pi$
$648$	19.6432	−	16.1909i	0.771658	−	0.636037i
$649$	−38.2358			−1.50089
$650$	4.14298	+	1.20031i	0.162501	+	0.0470800i
$651$	−6.49484	−	20.8947i	−0.254553	−	0.818929i
$652$	14.4531	+	0.432589i	0.566027	+	0.0169415i
$653$	−21.2950	+	6.91916i	−0.833337	+	0.270768i	−0.694450	−	0.719540i	$-0.744352\pi$
$653$	−21.2950	+	6.91916i	−0.833337	+	0.270768i	−0.138887	+	0.990308i	$0.544352\pi$
$654$	0.162711	+	1.25110i	0.00636249	+	0.0489220i
$655$	−4.67418	−	7.23906i	−0.182635	−	0.282853i
$656$	17.2994	−	21.0391i	0.675427	−	0.821438i
$657$	−14.1448	−	20.5544i	−0.551840	−	0.801904i
$658$	3.81194	−	3.69955i	0.148605	−	0.144224i
$659$	24.2767	+	33.4140i	0.945686	+	1.30162i	0.953417	+	0.301655i	$0.0975389\pi$
$659$	24.2767	+	33.4140i	0.945686	+	1.30162i	−0.00773164	+	0.999970i	$0.502461\pi$
$660$	−37.2650	+	8.19503i	−1.45054	+	0.318991i
$661$	5.00466	−	6.88833i	0.194659	−	0.267925i	−0.700519	−	0.713633i	$-0.747048\pi$
$661$	5.00466	−	6.88833i	0.194659	−	0.267925i	0.895178	+	0.445709i	$0.147048\pi$
$662$	0.580654	+	4.05815i	0.0225678	+	0.157725i
$663$	−0.189337	+	0.253711i	−0.00735324	+	0.00985332i
$664$	−28.9064	−	16.4022i	−1.12179	−	0.636527i
$665$	8.70135	−	5.61836i	0.337424	−	0.217871i
$666$	26.8242	+	29.0925i	1.03942	+	1.12731i
$667$	23.1558	+	7.52376i	0.896595	+	0.291321i
$668$	−36.5413	+	24.9134i	−1.41383	+	0.963928i
$669$	0.0837291	−	6.54563i	0.00323715	−	0.253069i
$670$	37.0330	+	22.2581i	1.43071	+	0.859906i
$671$	1.93555	+	5.95702i	0.0747212	+	0.229968i
$672$	3.21378	−	12.8718i	0.123974	−	0.496539i
$673$	3.53514	−	4.86570i	0.136270	−	0.187559i	−0.735428	−	0.677602i	$-0.763019\pi$
$673$	3.53514	−	4.86570i	0.136270	−	0.187559i	0.871698	+	0.490043i	$0.163019\pi$
$674$	8.04428	+	4.25153i	0.309854	+	0.163763i
$675$	11.9970	+	23.0450i	0.461766	+	0.887002i
$676$	14.2271	+	20.8673i	0.547195	+	0.802590i
$677$	10.9979	−	15.1373i	0.422685	−	0.581775i	−0.543570	−	0.839364i	$-0.682928\pi$
$677$	10.9979	−	15.1373i	0.422685	−	0.581775i	0.966255	+	0.257588i	$0.0829278\pi$
$678$	−0.563868	+	0.0733332i	−0.0216552	+	0.00281634i
$679$	−8.70124	+	2.82720i	−0.333923	+	0.108498i
$680$	0.687697	+	1.76583i	0.0263720	+	0.0677164i
$681$	−0.593496	+	46.3973i	−0.0227428	+	1.77795i
$682$	30.3692	−	57.4613i	1.16290	−	2.20031i
$683$	−0.0983622	+	0.302728i	−0.00376373	+	0.0115836i	−0.952921	−	0.303219i	$-0.901938\pi$
$683$	−0.0983622	+	0.302728i	−0.00376373	+	0.0115836i	0.949157	+	0.314803i	$0.101938\pi$
$684$	−19.8426	+	5.25001i	−0.758700	+	0.200739i
$685$	22.3033	+	1.22747i	0.852164	+	0.0468993i
$686$	20.9145	−	10.2653i	0.798518	−	0.391930i
$687$	4.55914	+	3.40235i	0.173942	+	0.129808i
$688$	−39.4703	+	10.2601i	−1.50479	+	0.391163i
$689$	−2.73929	+	3.77031i	−0.104359	+	0.143637i
$690$	−46.4333	−	11.3537i	−1.76768	−	0.432228i
$691$	1.11193	−	0.807868i	0.0423000	−	0.0307327i	−0.566434	−	0.824107i	$-0.691678\pi$
$691$	1.11193	−	0.807868i	0.0423000	−	0.0307327i	0.608734	+	0.793374i	$0.291678\pi$
$692$	8.95345	+	30.6470i	0.340359	+	1.16502i
$693$	−11.3434	−	16.4835i	−0.430898	−	0.626158i
$694$	14.8403	+	15.2911i	0.563329	+	0.580442i
$695$	4.18875	+	15.7981i	0.158888	+	0.599256i
$696$	9.09106	+	10.2052i	0.344596	+	0.386826i
$697$	−1.94046	+	0.630493i	−0.0735001	+	0.0238816i
$698$	10.1071	+	20.5922i	0.382559	+	0.779425i
$699$	−17.0946	+	5.31363i	−0.646578	+	0.200980i
$700$	12.1686	+	5.93886i	0.459929	+	0.224468i
$701$	1.99421			0.0753205			0.0376602	−	0.999291i	$-0.488010\pi$
$701$	1.99421			0.0753205			0.0376602	+	0.999291i	$0.488010\pi$
$702$	0.936246	−	4.38370i	0.0353363	−	0.165452i
$703$	−9.85982	−	30.3454i	−0.371870	−	1.14450i
$704$	33.8288	−	20.2115i	1.27497	−	0.761751i
$705$	−2.62044	−	10.4193i	−0.0986914	−	0.392414i
$706$	18.3351	+	18.8921i	0.690049	+	0.711012i
$707$	12.2908			0.462241
$708$	−14.8619	−	22.4090i	−0.558543	−	0.842181i
$709$	17.1259	+	23.5717i	0.643176	+	0.885256i	0.998780	−	0.0493811i	$-0.0157249\pi$
$709$	17.1259	+	23.5717i	0.643176	+	0.885256i	−0.355604	+	0.934637i	$0.615725\pi$
$710$	0.797314	+	9.12677i	0.0299227	+	0.342522i
$711$	−0.351901	+	13.7529i	−0.0131973	+	0.515775i
$712$	−14.8642	−	16.2621i	−0.557059	−	0.609450i
$713$	65.8728	−	47.8594i	2.46696	−	1.79235i
$714$	−0.721938	+	0.682941i	−0.0270179	+	0.0255584i
$715$	−4.24198	+	5.21044i	−0.158641	+	0.194859i
$716$	5.15178	−	14.3770i	0.192531	−	0.537294i
$717$	−0.487013	+	38.0729i	−0.0181879	+	1.42186i
$718$	−18.2087	+	34.4524i	−0.679542	+	1.28575i
$719$	−7.48298	+	23.0302i	−0.279068	+	0.858883i	0.709046	+	0.705162i	$0.249126\pi$
$719$	−7.48298	+	23.0302i	−0.279068	+	0.858883i	−0.988114	+	0.153721i	$0.950874\pi$
$720$	−19.2874	−	18.6547i	−0.718799	−	0.695218i
$721$	3.58445	+	11.0318i	0.133492	+	0.410846i
$722$	−10.1678	−	1.76674i	−0.378408	−	0.0657514i
$723$	−18.3935	−	6.23763i	−0.684063	−	0.231980i
$724$	−15.0488	+	10.2601i	−0.559284	+	0.381312i
$725$	−12.1166	+	6.91112i	−0.450000	+	0.256673i
$726$	5.97102	−	31.9365i	0.221605	−	1.18528i
$727$	9.27032	+	6.73528i	0.343817	+	0.249798i	0.746271	−	0.665643i	$-0.231842\pi$
$727$	9.27032	+	6.73528i	0.343817	+	0.249798i	−0.402453	+	0.915440i	$0.631842\pi$
$728$	−0.966147	−	2.12705i	−0.0358078	−	0.0788338i
$729$	22.9959	−	14.1487i	0.851701	−	0.524028i
$730$	−19.8517	+	17.2523i	−0.734743	+	0.638537i
$731$	2.90534	+	0.944004i	0.107458	+	0.0349152i
$732$	−2.73892	+	3.44981i	−0.101233	+	0.127509i
$733$	−10.0712	+	30.9961i	−0.371990	+	1.14487i	0.573497	+	0.819207i	$0.305586\pi$
$733$	−10.0712	+	30.9961i	−0.371990	+	1.14487i	−0.945487	+	0.325659i	$0.894414\pi$
$734$	−3.23227	−	22.5901i	−0.119305	−	0.833816i
$735$	1.35506	−	19.9641i	0.0499821	−	0.736385i
$736$	49.2019	−	4.05728i	1.81360	−	0.149553i
$737$	−54.4497	+	39.5600i	−2.00568	+	1.45721i
$738$	21.2397	−	19.5837i	0.781846	−	0.720888i
$739$	33.8324	+	24.5807i	1.24454	+	0.904215i	0.997892	−	0.0648895i	$-0.0206695\pi$
$739$	33.8324	+	24.5807i	1.24454	+	0.904215i	0.246652	+	0.969104i	$0.420669\pi$
$740$	27.2911	−	31.5451i	1.00324	−	1.15962i
$741$	−2.16169	+	2.89666i	−0.0794116	+	0.106411i
$742$	−10.4984	+	10.1889i	−0.385409	+	0.374046i
$743$			47.7298i			1.75104i	0.483184	+	0.875519i	$0.339480\pi$
$743$			47.7298i			1.75104i	−0.483184	+	0.875519i	$0.660520\pi$
$744$	45.4807	−	4.53602i	1.66740	−	0.166299i
$745$	7.46854	+	6.08038i	0.273626	+	0.222768i
$746$	45.4108	+	7.89050i	1.66261	+	0.288892i
$747$	−27.9799	−	21.4432i	−1.02373	−	0.784565i
$748$	−2.95052	−	0.0883105i	−0.107882	−	0.00322895i
$749$	18.3109			0.669067
$750$	22.7149	−	15.2981i	0.829432	−	0.558608i
$751$		−	28.0391i		−	1.02316i	−0.859235	−	0.511580i	$-0.829060\pi$
$751$		−	28.0391i		−	1.02316i	0.859235	−	0.511580i	$-0.170940\pi$
$752$	5.97357	+	9.35095i	0.217834	+	0.340994i
$753$	28.5654	−	20.2008i	1.04098	−	0.736159i
$754$	2.37116	+	0.412008i	0.0863525	+	0.0150044i
$755$	−3.54071	+	4.34907i	−0.128860	+	0.158279i
$756$	5.25151	−	13.0550i	0.190996	−	0.474806i
$757$	−13.3394			−0.484829			−0.242414	−	0.970173i	$-0.577939\pi$
$757$	−13.3394			−0.484829			−0.242414	+	0.970173i	$0.577939\pi$
$758$	−32.5945	−	33.5846i	−1.18388	−	1.21985i
$759$	44.5330	−	59.6742i	1.61645	−	2.16604i
$760$	7.85154	+	20.1607i	0.284805	+	0.731306i
$761$	−14.6012	+	20.0968i	−0.529291	+	0.728507i	−0.987022	−	0.160584i	$-0.948662\pi$
$761$	−14.6012	+	20.0968i	−0.529291	+	0.728507i	0.457731	+	0.889091i	$0.348662\pi$
$762$	−3.71279	−	7.81561i	−0.134500	−	0.283130i
$763$	0.409932	+	0.564223i	0.0148405	+	0.0204262i
$764$	0.0659191	−	2.20240i	0.00238487	−	0.0796802i
$765$	0.465264	+	1.95537i	0.0168216	+	0.0706967i
$766$	17.2973	−	2.47496i	0.624978	−	0.0894240i
$767$	−4.50325	−	1.46319i	−0.162603	−	0.0528329i
$768$	24.9943	+	11.9701i	0.901905	+	0.431934i
$769$	8.55332	−	26.3244i	0.308441	−	0.949283i	−0.669930	−	0.742424i	$-0.733676\pi$
$769$	8.55332	−	26.3244i	0.308441	−	0.949283i	0.978371	−	0.206859i	$-0.0663240\pi$
$770$	−15.9200	+	13.8355i	−0.573716	+	0.498595i
$771$	5.30318	+	7.49907i	0.190989	+	0.270072i
$772$	21.7961	+	16.8547i	0.784460	+	0.606614i
$773$	7.45676	−	10.2634i	0.268201	−	0.369147i	−0.653580	−	0.756857i	$-0.726734\pi$
$773$	7.45676	−	10.2634i	0.268201	−	0.369147i	0.921781	+	0.387710i	$0.126734\pi$
$774$	−42.9625	+	5.02952i	−1.54426	+	0.180782i
$775$	−5.11918	+	46.3671i	−0.183887	+	1.66555i
$776$	−2.13972	−	18.9910i	−0.0768115	−	0.681736i
$777$	20.7159	+	7.02518i	0.743178	+	0.252027i
$778$	5.75308	+	0.999644i	0.206258	+	0.0358390i
$779$	−22.1545	+	7.19844i	−0.793768	+	0.257911i
$780$	−4.70251	−	0.460867i	−0.168377	−	0.0165017i
$781$	−13.5724	−	4.40992i	−0.485657	−	0.157800i
$782$	−3.26952	−	1.72799i	−0.116918	−	0.0617930i
$783$	8.06451	+	12.0460i	0.288202	+	0.430488i
$784$	5.19928	+	20.0015i	0.185689	+	0.714340i
$785$	−5.91861	−	4.81853i	−0.211244	−	0.171981i
$786$	6.48689	+	6.85731i	0.231380	+	0.244592i
$787$	−8.62407	−	11.8700i	−0.307415	−	0.423120i	0.627158	−	0.778892i	$-0.284218\pi$
$787$	−8.62407	−	11.8700i	−0.307415	−	0.423120i	−0.934573	+	0.355772i	$0.884218\pi$
$788$	−2.50624	+	6.99412i	−0.0892810	+	0.249155i
$789$	13.0381	−	38.4466i	0.464167	−	1.36874i
$790$	14.4466	−	1.26205i	0.513986	−	0.0449018i
$791$	−0.254293	+	0.184755i	−0.00904163	+	0.00656913i
$792$	38.4851	−	16.3064i	1.36751	−	0.579423i
$793$			0.775661i			0.0275445i
$794$	−28.7288	−	29.6015i	−1.01955	−	1.05052i
$795$	7.21692	+	28.6957i	0.255958	+	1.01773i
$796$	28.1157	+	21.7415i	0.996533	+	0.770608i
$797$	27.2404	−	8.85095i	0.964905	−	0.313517i	0.216148	−	0.976361i	$-0.430651\pi$
$797$	27.2404	−	8.85095i	0.964905	−	0.313517i	0.748757	+	0.662844i	$0.230651\pi$
$798$	−8.24248	+	7.79724i	−0.291781	+	0.276019i
$799$		−	0.831176i		−	0.0294049i
$800$	−17.2521	+	22.4135i	−0.609954	+	0.792437i
$801$	−13.2475	−	19.2505i	−0.468076	−	0.680182i
$802$	10.8647	+	22.1357i	0.383645	+	0.781638i
$803$	−12.6599	−	38.9633i	−0.446760	−	1.37499i
$804$	−44.3491	−	16.5349i	−1.56407	−	0.583141i
$805$	−25.5413	+	6.77210i	−0.900214	+	0.238685i
$806$	5.77566	−	5.60538i	0.203439	−	0.197441i
$807$	44.3338	−	13.7806i	1.56062	−	0.485099i
$808$	−5.14995	+	25.1520i	−0.181175	+	0.884843i
$809$	30.0041	+	41.2971i	1.05489	+	1.45193i	0.884494	+	0.466551i	$0.154503\pi$
$809$	30.0041	+	41.2971i	1.05489	+	1.45193i	0.170392	+	0.985376i	$0.445497\pi$
$810$	−17.5460	−	22.4084i	−0.616503	−	0.787352i
$811$	13.7664	+	10.0019i	0.483404	+	0.351213i	0.802642	−	0.596461i	$-0.203427\pi$
$811$	13.7664	+	10.0019i	0.483404	+	0.351213i	−0.319238	+	0.947674i	$0.603427\pi$
$812$	7.11223	+	2.54856i	0.249590	+	0.0894370i
$813$	2.35193	+	1.75518i	0.0824858	+	0.0615567i
$814$	28.6284	+	58.3275i	1.00342	+	2.04438i
$815$	0.888377	−	16.1419i	0.0311185	−	0.565425i
$816$	−1.09508	−	1.76354i	−0.0383354	−	0.0617364i
$817$	33.1708	+	10.7778i	1.16050	+	0.377069i
$818$	−1.55330	+	2.93899i	−0.0543099	+	0.102759i
$819$	−0.705184	−	2.37544i	−0.0246411	−	0.0830047i
$820$	−23.0304	−	19.9246i	−0.804256	−	0.695797i
$821$	−8.32114	−	25.6098i	−0.290410	−	0.893790i	−0.984725	−	0.174118i	$-0.944293\pi$
$821$	−8.32114	−	25.6098i	−0.290410	−	0.893790i	0.694315	−	0.719671i	$-0.255707\pi$
$822$	−24.2646	+	3.15571i	−0.846326	+	0.110068i
$823$	−38.5265	−	27.9912i	−1.34295	−	0.975711i	−0.999330	−	0.0366019i	$-0.988347\pi$
$823$	−38.5265	−	27.9912i	−1.34295	−	0.975711i	−0.343620	−	0.939109i	$-0.611653\pi$
$824$	−24.0775	+	2.71283i	−0.838781	+	0.0945059i
$825$	8.11552	+	41.8800i	0.282546	+	1.45807i
$826$	−13.1416	−	6.94553i	−0.457254	−	0.241666i
$827$	−3.18817	−	2.31634i	−0.110863	−	0.0805470i	0.530972	−	0.847389i	$-0.321827\pi$
$827$	−3.18817	−	2.31634i	−0.110863	−	0.0805470i	−0.641836	+	0.766842i	$0.721827\pi$
$828$	52.2829	+	2.90486i	1.81696	+	0.100951i
$829$	−12.8233	+	4.16654i	−0.445371	+	0.144710i	−0.523112	−	0.852264i	$-0.675229\pi$
$829$	−12.8233	+	4.16654i	−0.445371	+	0.144710i	0.0777413	+	0.996974i	$0.475229\pi$
$830$	−19.1422	+	31.8487i	−0.664434	+	1.10548i
$831$	0.187953	−	14.6935i	0.00652003	−	0.509712i
$832$	4.75765	−	1.08588i	0.164942	−	0.0376461i
$833$	0.478372	−	1.47228i	0.0165746	−	0.0510114i
$834$	−7.68243	−	16.1719i	−0.266021	−	0.559988i
$835$	26.8216	+	41.5396i	0.928200	+	1.43754i
$836$	−33.6865	−	1.00825i	−1.16507	−	0.0348712i
$837$	48.4432	+	1.85981i	1.67444	+	0.0642844i
$838$	10.0506	−	1.43807i	0.347192	−	0.0496774i
$839$	−17.2796	−	12.5543i	−0.596557	−	0.433424i	0.248098	−	0.968735i	$-0.420195\pi$
$839$	−17.2796	−	12.5543i	−0.596557	−	0.433424i	−0.844655	+	0.535311i	$0.820195\pi$
$840$	−14.2965	−	3.95257i	−0.493277	−	0.136377i
$841$	17.1649	−	12.4710i	0.591893	−	0.430035i
$842$	−29.8084	+	28.9296i	−1.02727	+	0.996979i
$843$	−5.60710	−	18.0387i	−0.193119	−	0.621288i
$844$	−16.1823	+	4.72762i	−0.557017	+	0.162731i
$845$	23.7216	−	15.3168i	0.816049	−	0.526913i
$846$	4.91369	+	10.6944i	0.168936	+	0.367681i
$847$	−5.54995	−	17.0810i	−0.190698	−	0.586909i
$848$	−16.4517	−	25.7534i	−0.564955	−	0.884374i
$849$	−11.5677	−	37.2148i	−0.397003	−	1.27721i
$850$	1.99290	−	0.719160i	0.0683559	−	0.0246670i
$851$			81.4001i			2.79036i
$852$	−2.69090	−	9.66848i	−0.0921886	−	0.331237i
$853$	4.04274	+	12.4423i	0.138421	+	0.426015i	0.996106	−	0.0881592i	$-0.0280984\pi$
$853$	4.04274	+	12.4423i	0.138421	+	0.426015i	−0.857686	+	0.514174i	$0.828098\pi$
$854$	−0.416847	+	2.39901i	−0.0142642	+	0.0820923i
$855$	5.31199	+	22.3248i	0.181666	+	0.763492i
$856$	−7.67247	+	37.4717i	−0.262240	+	1.28076i
$857$	42.0675			1.43700			0.718499	−	0.695528i	$-0.244829\pi$
$857$	42.0675			1.43700			0.718499	+	0.695528i	$0.244829\pi$
$858$	3.52212	−	6.46269i	0.120243	−	0.220633i
$859$	24.4440	−	17.7596i	0.834017	−	0.605949i	−0.0866760	−	0.996237i	$-0.527624\pi$
$859$	24.4440	−	17.7596i	0.834017	−	0.605949i	0.920693	+	0.390288i	$0.127624\pi$
$860$	10.3618	+	44.4027i	0.353336	+	1.51412i
$861$	5.12893	−	15.1242i	0.174793	−	0.515431i
$862$	4.09783	+	28.6395i	0.139573	+	0.975464i
$863$	−17.8332	−	24.5453i	−0.607049	−	0.835531i	0.389282	−	0.921119i	$-0.372723\pi$
$863$	−17.8332	−	24.5453i	−0.607049	−	0.835531i	−0.996331	+	0.0855875i	$0.972723\pi$
$864$	24.5155	+	16.2170i	0.834035	+	0.551712i
$865$	34.5044	−	9.14860i	1.17319	−	0.311062i
$866$	17.8408	−	2.55273i	0.606257	−	0.0867453i
$867$	0.374627	−	29.2870i	0.0127230	−	0.994638i
$868$	20.8757	−	14.2327i	0.708566	−	0.483091i
$869$	−6.98038	+	21.4834i	−0.236793	+	0.728775i
$870$	11.6608	−	9.87504i	0.395339	−	0.334795i
$871$	−7.92671	+	2.57554i	−0.268586	+	0.0872690i
$872$	−1.32640	+	0.602475i	−0.0449175	+	0.0204024i
$873$	0.518497	−	20.2638i	0.0175484	−	0.685825i
$874$	−37.3286	−	19.7288i	−1.26266	−	0.667336i
$875$	6.97864	−	13.4342i	0.235921	−	0.454160i
$876$	17.9145	−	22.5643i	0.605276	−	0.762376i
$877$	−22.5171	−	16.3597i	−0.760350	−	0.552426i	0.138668	−	0.990339i	$-0.455718\pi$
$877$	−22.5171	−	16.3597i	−0.760350	−	0.552426i	−0.899018	+	0.437912i	$0.855718\pi$
$878$	−8.20121	+	47.1990i	−0.276778	+	1.59289i
$879$	−16.9432	+	11.9819i	−0.571482	+	0.404140i
$880$	−21.6424	−	38.3761i	−0.729566	−	1.29366i
$881$	−37.8974	−	12.3136i	−1.27680	−	0.414856i	−0.409346	−	0.912379i	$-0.634243\pi$
$881$	−37.8974	−	12.3136i	−1.27680	−	0.414856i	−0.867451	+	0.497523i	$0.834243\pi$
$882$	2.54870	+	21.7712i	0.0858191	+	0.733073i
$883$	−9.51460	−	3.09148i	−0.320192	−	0.104037i	0.144511	−	0.989503i	$-0.453839\pi$
$883$	−9.51460	−	3.09148i	−0.320192	−	0.104037i	−0.464703	+	0.885467i	$0.653839\pi$
$884$	−0.344120	−	0.123310i	−0.0115740	−	0.00414737i
$885$	−25.4625	+	15.9831i	−0.855911	+	0.537266i
$886$	12.1106	−	5.94415i	0.406864	−	0.199698i
$887$	−6.47088	−	8.90640i	−0.217271	−	0.299048i	0.686444	−	0.727183i	$-0.259171\pi$
$887$	−6.47088	−	8.90640i	−0.217271	−	0.299048i	−0.903715	+	0.428135i	$0.859171\pi$
$888$	−23.0566	+	39.4496i	−0.773728	+	1.32384i
$889$	−3.86959	−	2.81142i	−0.129782	−	0.0942922i
$890$	−18.5923	+	16.1579i	−0.623216	+	0.541613i
$891$	42.8083	−	11.5253i	1.43413	−	0.386114i
$892$	7.25557	−	2.11970i	0.242935	−	0.0709728i
$893$		−	9.48967i		−	0.317560i
$894$	−9.26350	−	5.04854i	−0.309818	−	0.168848i
$895$	−15.9246	−	6.16081i	−0.532301	−	0.205933i
$896$	15.2983	−	0.801662i	0.511080	−	0.0267817i
$897$	7.52850	−	5.32399i	0.251369	−	0.177763i
$898$	−7.09252	−	14.4503i	−0.236680	−	0.482212i
$899$			26.0283i			0.868091i
$900$	−21.3903	+	21.0346i	−0.713010	+	0.701154i
$901$			2.28913i			0.0762621i
$902$	42.5836	−	20.9010i	1.41788	−	0.695926i
$903$	−19.5228	+	13.8061i	−0.649680	+	0.459440i
$904$	−0.271533	−	0.597804i	−0.00903107	−	0.0198827i
$905$	11.0459	+	17.1072i	0.367179	+	0.568662i
$906$	2.93985	−	5.39430i	0.0976701	−	0.179214i
$907$		−	16.5174i		−	0.548453i	−0.961665	−	0.274226i	$-0.911578\pi$
$907$		−	16.5174i		−	0.548453i	0.961665	−	0.274226i	$-0.0884217\pi$
$908$	−51.4296	+	15.0250i	−1.70675	+	0.498624i
$909$	−9.07459	+	25.6747i	−0.300985	+	0.851575i
$910$	−2.40444	+	1.02026i	−0.0797062	+	0.0338213i
$911$	−25.1166	−	18.2483i	−0.832149	−	0.604592i	0.0880172	−	0.996119i	$-0.471947\pi$
$911$	−25.1166	−	18.2483i	−0.832149	−	0.604592i	−0.920167	+	0.391527i	$0.871947\pi$
$912$	−12.5027	−	20.1346i	−0.414005	−	0.666725i
$913$	−34.0219	−	46.8272i	−1.12596	−	1.54975i
$914$	12.7936	+	26.0657i	0.423176	+	0.862178i
$915$	3.77906	+	3.15788i	0.124932	+	0.104396i
$916$	−2.21586	+	6.18376i	−0.0732140	+	0.204317i
$917$	4.96260	+	1.61244i	0.163879	+	0.0532476i
$918$	−0.893596	−	2.01232i	−0.0294931	−	0.0664165i
$919$	38.9409	+	12.6527i	1.28454	+	0.417373i	0.870178	−	0.492738i	$-0.164004\pi$
$919$	38.9409	+	12.6527i	1.28454	+	0.417373i	0.414365	+	0.910111i	$0.364004\pi$
$920$	−3.15644	−	55.1057i	−0.104065	−	1.81678i
$921$	−39.1379	+	27.6775i	−1.28964	+	0.912005i
$922$	−3.29623	−	0.572746i	−0.108555	−	0.0188624i
$923$	−1.42973	−	1.03876i	−0.0470603	−	0.0341913i
$924$	14.3665	−	18.0954i	0.472624	−	0.595294i
$925$	−34.4929	−	31.3865i	−1.13412	−	1.03198i
$926$	10.0546	−	19.0243i	0.330416	−	0.625176i
$927$	−25.6913	−	0.657372i	−0.843812	−	0.0215909i
$928$	−8.19551	+	13.4867i	−0.269031	+	0.442722i
$929$	−38.9876	+	12.6678i	−1.27914	+	0.415618i	−0.868277	−	0.496079i	$-0.834773\pi$
$929$	−38.9876	+	12.6678i	−1.27914	+	0.415618i	−0.410863	+	0.911697i	$0.634773\pi$
$930$	−3.79577	−	50.9600i	−0.124468	−	1.67105i
$931$	5.46165	−	16.8092i	0.178998	−	0.550900i
$932$	−11.6442	−	17.0790i	−0.381420	−	0.559442i
$933$	0.295920	−	23.1340i	0.00968800	−	0.757372i
$934$	1.69634	+	11.8556i	0.0555059	+	0.387926i
$935$	−0.181357	+	3.29527i	−0.00593101	+	0.107767i
$936$	5.15662	−	0.447763i	0.168549	−	0.0146356i
$937$	25.8657	+	35.6011i	0.844995	+	1.16304i	0.984943	+	0.172877i	$0.0553063\pi$
$937$	25.8657	+	35.6011i	0.844995	+	1.16304i	−0.139949	+	0.990159i	$0.544694\pi$
$938$	−25.9003	+	3.70591i	−0.845675	+	0.121002i
$939$	14.6222	−	43.1180i	0.477178	−	1.40710i
$940$	10.6187	−	6.41461i	0.346345	−	0.209221i
$941$	−1.02653	+	0.745820i	−0.0334640	+	0.0243130i	−0.604392	−	0.796687i	$-0.706584\pi$
$941$	−1.02653	+	0.745820i	−0.0334640	+	0.0243130i	0.570928	+	0.821000i	$0.306584\pi$
$942$	7.34107	+	4.00083i	0.239185	+	0.130354i
$943$	59.4284			1.93525
$944$	19.7199	−	23.9828i	0.641827	−	0.780574i
$945$	−14.4443	−	6.23524i	−0.469872	−	0.202833i
$946$	−69.9755	−	12.1588i	−2.27510	−	0.395317i
$947$	5.26325	+	16.1986i	0.171033	+	0.526384i	0.999430	−	0.0337565i	$-0.0107471\pi$
$947$	5.26325	+	16.1986i	0.171033	+	0.526384i	−0.828397	+	0.560141i	$0.810747\pi$
$948$	−15.3040	+	4.25937i	−0.497052	+	0.138338i
$949$		−	5.07339i		−	0.164689i
$950$	22.7532	−	8.21076i	0.738212	−	0.266392i
$951$	−3.33814	−	10.7392i	−0.108247	−	0.348243i
$952$	−0.998045	−	0.566313i	−0.0323468	−	0.0183543i
$953$	1.01997	+	3.13914i	0.0330400	+	0.101687i	0.966216	−	0.257732i	$-0.0829751\pi$
$953$	1.01997	+	3.13914i	0.0330400	+	0.101687i	−0.933177	+	0.359418i	$0.882975\pi$
$954$	−13.5327	−	29.4533i	−0.438138	−	0.953586i
$955$	−2.45974	−	0.135373i	−0.0795954	−	0.00438058i
$956$	−42.2023	+	12.3293i	−1.36492	+	0.398759i
$957$	7.06512	+	22.7294i	0.228383	+	0.734737i
$958$	36.3382	+	37.4421i	1.17403	+	1.20970i
$959$	−10.9429	+	7.95046i	−0.353364	+	0.256734i
$960$	14.0790	−	27.6004i	0.454397	−	0.890799i
$961$	45.3409	+	32.9421i	1.46261	+	1.06265i
$962$	1.13967	+	7.96510i	0.0367446	+	0.256805i
$963$	−13.5195	+	38.2505i	−0.435658	+	1.23260i
$964$	0.670953	−	22.4170i	0.0216099	−	0.722004i
$965$	19.4488	−	23.8890i	0.626079	−	0.769015i
$966$	26.1457	−	12.4205i	0.841225	−	0.399622i
$967$	6.98362	−	21.4934i	0.224578	−	0.691180i	−0.773756	−	0.633483i	$-0.781624\pi$
$967$	6.98362	−	21.4934i	0.224578	−	0.691180i	0.998334	−	0.0576963i	$-0.0183755\pi$
$968$	37.2802	−	4.20038i	1.19823	−	0.135005i
$969$	−0.0227076	+	1.77520i	−0.000729474	+	0.0570276i
$970$	−21.2858	+	1.85953i	−0.683446	+	0.0597058i
$971$	28.9257	−	9.39852i	0.928269	−	0.301613i	0.194414	−	0.980920i	$-0.437719\pi$
$971$	28.9257	−	9.39852i	0.928269	−	0.301613i	0.733854	+	0.679307i	$0.237719\pi$
$972$	23.3938	+	20.6090i	0.750357	+	0.661033i
$973$	−8.00690	−	5.81735i	−0.256689	−	0.186496i
$974$	1.76867	−	3.34648i	0.0566719	−	0.107228i
$975$	−0.646837	+	5.24301i	−0.0207154	+	0.167911i
$976$	−4.73470	−	1.85825i	−0.151554	−	0.0594811i
$977$	−20.4308	−	14.8438i	−0.653639	−	0.474896i	0.210870	−	0.977514i	$-0.432370\pi$
$977$	−20.4308	−	14.8438i	−0.653639	−	0.474896i	−0.864509	+	0.502618i	$0.832370\pi$
$978$	2.28393	+	17.5614i	0.0730319	+	0.561552i
$979$	−11.8568	−	36.4916i	−0.378946	−	1.16628i
$980$	22.5010	−	5.25084i	0.718768	−	0.167732i
$981$	−1.48129	+	0.439743i	−0.0472940	+	0.0140399i
$982$	−38.0491	−	20.1096i	−1.21420	−	0.641722i
$983$	44.3706	+	14.4169i	1.41520	+	0.459828i	0.914075	−	0.405545i	$-0.132918\pi$
$983$	44.3706	+	14.4169i	1.41520	+	0.459828i	0.501129	+	0.865373i	$0.332918\pi$
$984$	28.8013	+	16.8331i	0.918151	+	0.536619i
$985$	7.74700	+	2.99711i	0.246840	+	0.0954958i
$986$	1.06121	−	0.520866i	0.0337959	−	0.0165877i
$987$	5.21402	+	3.89106i	0.165964	+	0.123854i
$988$	−3.92887	−	1.40785i	−0.124994	−	0.0447897i
$989$	−71.9855	−	52.3005i	−2.28901	−	1.66306i
$990$	−17.1473	−	43.4710i	−0.544977	−	1.38160i
$991$	−4.49309	−	6.18421i	−0.142728	−	0.196448i	0.731668	−	0.681661i	$-0.238742\pi$
$991$	−4.49309	−	6.18421i	−0.142728	−	0.196448i	−0.874396	+	0.485213i	$0.838742\pi$
$992$	20.3789	+	48.6839i	0.647032	+	1.54572i
$993$	−4.79454	+	1.49032i	−0.152150	+	0.0472937i
$994$	−3.86372	−	3.98110i	−0.122550	−	0.126273i
$995$	25.0877	−	30.8153i	0.795335	−	0.976912i
$996$	14.2202	−	38.1406i	0.450583	−	1.20853i
$997$	−6.72971	−	20.7119i	−0.213132	−	0.655953i	−0.999281	−	0.0379161i	$-0.987928\pi$
$997$	−6.72971	−	20.7119i	−0.213132	−	0.655953i	0.786149	−	0.618037i	$-0.212072\pi$
$998$	−18.9632	+	9.30753i	−0.600268	+	0.294625i
$999$	−29.9703	+	38.0873i	−0.948217	+	1.20503i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.16	✓	464
3.2	odd	2	inner	600.2.bk.a.59.101	yes	464
8.3	odd	2	inner	600.2.bk.a.59.65	yes	464
24.11	even	2	inner	600.2.bk.a.59.52	yes	464
25.14	even	10	inner	600.2.bk.a.539.52	yes	464
75.14	odd	10	inner	600.2.bk.a.539.65	yes	464
200.139	odd	10	inner	600.2.bk.a.539.101	yes	464
600.539	even	10	inner	600.2.bk.a.539.16	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.16	✓	464	1.1	even	1	trivial
600.2.bk.a.59.52	yes	464	24.11	even	2	inner
600.2.bk.a.59.65	yes	464	8.3	odd	2	inner
600.2.bk.a.59.101	yes	464	3.2	odd	2	inner
600.2.bk.a.539.16	yes	464	600.539	even	10	inner
600.2.bk.a.539.52	yes	464	25.14	even	10	inner
600.2.bk.a.539.65	yes	464	75.14	odd	10	inner
600.2.bk.a.539.101	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)

\(f(q)\)	\(=\)	\(q+(-1.26954 + 0.623117i) q^{2} +(-1.00007 - 1.41417i) q^{3} +(1.22345 - 1.58214i) q^{4} +(-1.73406 - 1.41175i) q^{5} +(2.15081 + 1.17218i) q^{6} +1.35405 q^{7} +(-0.567359 + 2.77094i) q^{8} +(-0.999729 + 2.82852i) q^{9} +O(q^{10})\)	\(q+(-1.26954 + 0.623117i) q^{2} +(-1.00007 - 1.41417i) q^{3} +(1.22345 - 1.58214i) q^{4} +(-1.73406 - 1.41175i) q^{5} +(2.15081 + 1.17218i) q^{6} +1.35405 q^{7} +(-0.567359 + 2.77094i) q^{8} +(-0.999729 + 2.82852i) q^{9} +(3.08114 + 0.711751i) q^{10} +(-2.89534 + 3.98509i) q^{11} +(-3.46094 - 0.147915i) q^{12} +(-0.493500 + 0.358549i) q^{13} +(-1.71901 + 0.843729i) q^{14} +(-0.262275 + 3.86409i) q^{15} +(-1.00633 - 3.87134i) q^{16} +(-0.0925901 + 0.284963i) q^{17} +(-0.493307 - 4.21386i) q^{18} +(-1.05711 + 3.25347i) q^{19} +(-4.35512 + 1.01631i) q^{20} +(-1.35414 - 1.91485i) q^{21} +(1.19256 - 6.86336i) q^{22} +(5.12976 - 7.06050i) q^{23} +(4.48596 - 1.96879i) q^{24} +(1.01391 + 4.89612i) q^{25} +(0.403099 - 0.762700i) q^{26} +(4.99980 - 1.41493i) q^{27} +(1.65661 - 2.14229i) q^{28} +(0.862099 + 2.65327i) q^{29} +(-2.07481 - 5.06904i) q^{30} +(8.87313 + 2.88306i) q^{31} +(3.68988 + 4.28775i) q^{32} +(8.53112 + 0.109127i) q^{33} +(-0.0600186 - 0.419465i) q^{34} +(-2.34800 - 1.91158i) q^{35} +(3.25200 + 5.04227i) q^{36} +(-7.54579 + 5.48234i) q^{37} +(-0.685241 - 4.78910i) q^{38} +(1.00058 + 0.339318i) q^{39} +(4.89571 - 4.00400i) q^{40} +(4.00253 + 5.50901i) q^{41} +(2.91230 + 1.58718i) q^{42} -10.1955i q^{43} +(2.76267 + 9.45640i) q^{44} +(5.72676 - 3.49345i) q^{45} +(-2.11290 + 12.1600i) q^{46} +(-2.63826 + 0.857223i) q^{47} +(-4.46832 + 5.29473i) q^{48} -5.16656 q^{49} +(-4.33806 - 5.58402i) q^{50} +(0.495581 - 0.154045i) q^{51} +(-0.0364989 + 1.21945i) q^{52} +(7.26600 - 2.36087i) q^{53} +(-5.46576 + 4.91177i) q^{54} +(10.6466 - 2.82288i) q^{55} +(-0.768231 + 3.75198i) q^{56} +(5.65812 - 1.75875i) q^{57} +(-2.74776 - 2.83123i) q^{58} +(4.56256 + 6.27982i) q^{59} +(5.79265 + 5.14248i) q^{60} +(0.747413 - 1.02873i) q^{61} +(-13.0613 + 1.86885i) q^{62} +(-1.35368 + 3.82995i) q^{63} +(-7.35621 - 3.14424i) q^{64} +(1.36194 + 0.0749552i) q^{65} +(-10.8986 + 5.17734i) q^{66} +(12.9946 + 4.22220i) q^{67} +(0.337572 + 0.495129i) q^{68} +(-15.1148 - 0.193343i) q^{69} +(4.17200 + 0.963744i) q^{70} +(0.895263 + 2.75533i) q^{71} +(-7.27046 - 4.37498i) q^{72} +(-4.88863 + 6.72862i) q^{73} +(6.16353 - 11.6619i) q^{74} +(5.90994 - 6.33029i) q^{75} +(3.85411 + 5.65296i) q^{76} +(-3.92042 + 5.39600i) q^{77} +(-1.48171 + 0.192702i) q^{78} +(4.36137 - 1.41709i) q^{79} +(-3.72033 + 8.13383i) q^{80} +(-7.00108 - 5.65551i) q^{81} +(-8.51412 - 4.49985i) q^{82} +(-3.63113 + 11.1755i) q^{83} +(-4.68628 - 0.200284i) q^{84} +(0.562853 - 0.363428i) q^{85} +(6.35300 + 12.9436i) q^{86} +(2.89000 - 3.87260i) q^{87} +(-9.39975 - 10.2838i) q^{88} +(-4.57851 + 6.30178i) q^{89} +(-5.09351 + 8.00351i) q^{90} +(-0.668222 + 0.485492i) q^{91} +(-4.89470 - 16.7542i) q^{92} +(-4.79662 - 15.4313i) q^{93} +(2.81522 - 2.73222i) q^{94} +(6.42618 - 4.14931i) q^{95} +(2.37346 - 9.50614i) q^{96} +(-6.42610 + 2.08797i) q^{97} +(6.55914 - 3.21937i) q^{98} +(-8.37737 - 12.1735i) 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

Varieties

Fields

Representations

Groups

Database

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