LMFDB - Embedded newform 600.2.bk.a.59.6

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			59.6
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.38548 + 0.283608i) q^{2} +(0.802404 + 1.53497i) q^{3} +(1.83913 - 0.785869i) q^{4} +(-2.18529 + 0.473809i) q^{5} +(-1.54705 - 1.89911i) q^{6} -4.19014 q^{7} +(-2.32521 + 1.61040i) q^{8} +(-1.71229 + 2.46334i) q^{9} +O(q^{10})$	\(q+(-1.38548 + 0.283608i) q^{2} +(0.802404 + 1.53497i) q^{3} +(1.83913 - 0.785869i) q^{4} +(-2.18529 + 0.473809i) q^{5} +(-1.54705 - 1.89911i) q^{6} -4.19014 q^{7} +(-2.32521 + 1.61040i) q^{8} +(-1.71229 + 2.46334i) q^{9} +(2.89331 - 1.27622i) q^{10} +(-0.470935 + 0.648186i) q^{11} +(2.68202 + 2.19244i) q^{12} +(2.12397 - 1.54315i) q^{13} +(5.80537 - 1.18836i) q^{14} +(-2.48077 - 2.97418i) q^{15} +(2.76482 - 2.89063i) q^{16} +(-0.688153 + 2.11792i) q^{17} +(1.67373 - 3.89854i) q^{18} +(2.00742 - 6.17821i) q^{19} +(-3.64669 + 2.58875i) q^{20} +(-3.36219 - 6.43176i) q^{21} +(0.468642 - 1.03161i) q^{22} +(4.37786 - 6.02561i) q^{23} +(-4.33769 - 2.27695i) q^{24} +(4.55101 - 2.07082i) q^{25} +(-2.50508 + 2.74039i) q^{26} +(-5.15512 - 0.651734i) q^{27} +(-7.70622 + 3.29290i) q^{28} +(-1.92002 - 5.90923i) q^{29} +(4.28057 + 3.41712i) q^{30} +(2.25142 + 0.731532i) q^{31} +(-3.01081 + 4.78905i) q^{32} +(-1.37283 - 0.202766i) q^{33} +(0.352767 - 3.12951i) q^{34} +(9.15668 - 1.98533i) q^{35} +(-1.21328 + 5.87605i) q^{36} +(-8.09215 + 5.87929i) q^{37} +(-1.02906 + 9.12914i) q^{38} +(4.07299 + 2.02201i) q^{39} +(4.31824 - 4.62091i) q^{40} +(-3.40729 - 4.68974i) q^{41} +(6.48235 + 7.95756i) q^{42} +0.207576i q^{43} +(-0.356722 + 1.56219i) q^{44} +(2.57471 - 6.19442i) q^{45} +(-4.35655 + 9.58999i) q^{46} +(-0.646207 + 0.209965i) q^{47} +(6.65555 + 1.92447i) q^{48} +10.5573 q^{49} +(-5.71805 + 4.15980i) q^{50} +(-3.80312 + 0.643128i) q^{51} +(2.69355 - 4.50723i) q^{52} +(-11.9415 + 3.88003i) q^{53} +(7.32717 - 0.559066i) q^{54} +(0.722014 - 1.63961i) q^{55} +(9.74296 - 6.74781i) q^{56} +(11.0942 - 1.87608i) q^{57} +(4.33607 + 7.64261i) q^{58} +(-4.54730 - 6.25882i) q^{59} +(-6.89979 - 3.52035i) q^{60} +(-2.30523 + 3.17288i) q^{61} +(-3.32678 - 0.375004i) q^{62} +(7.17475 - 10.3217i) q^{63} +(2.81321 - 7.48905i) q^{64} +(-3.91034 + 4.37860i) q^{65} +(1.95954 - 0.108417i) q^{66} +(-7.84045 - 2.54752i) q^{67} +(0.398800 + 4.43593i) q^{68} +(12.7620 + 1.88493i) q^{69} +(-12.1234 + 5.34755i) q^{70} +(-1.17330 - 3.61104i) q^{71} +(0.0144786 - 8.48527i) q^{72} +(2.48447 - 3.41958i) q^{73} +(9.54413 - 10.4407i) q^{74} +(6.83041 + 5.32405i) q^{75} +(-1.16335 - 12.9401i) q^{76} +(1.97328 - 2.71599i) q^{77} +(-6.21652 - 1.64633i) q^{78} +(3.08294 - 1.00171i) q^{79} +(-4.67233 + 7.62688i) q^{80} +(-3.13609 - 8.43593i) q^{81} +(6.05080 + 5.53122i) q^{82} +(2.89804 - 8.91924i) q^{83} +(-11.2380 - 9.18662i) q^{84} +(0.500326 - 4.95432i) q^{85} +(-0.0588703 - 0.287594i) q^{86} +(7.52988 - 7.68878i) q^{87} +(0.0511827 - 2.26556i) q^{88} +(-7.93419 + 10.9205i) q^{89} +(-1.81043 + 9.31248i) q^{90} +(-8.89973 + 6.46604i) q^{91} +(3.31613 - 14.5223i) q^{92} +(0.683669 + 4.04286i) q^{93} +(0.835762 - 0.474173i) q^{94} +(-1.45951 + 14.4523i) q^{95} +(-9.76696 - 0.778757i) q^{96} +(-12.8790 + 4.18464i) q^{97} +(-14.6269 + 2.99413i) q^{98} +(-0.790324 - 2.26996i) 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 $

$2$	−1.38548	+	0.283608i	−0.979685	+	0.200541i
$2$	−1.38548	+	0.283608i	−0.979685	+	0.200541i
$3$	0.802404	+	1.53497i	0.463268	+	0.886218i
$3$	0.802404	+	1.53497i	0.463268	+	0.886218i
$4$	1.83913	−	0.785869i	0.919566	−	0.392934i
$5$	−2.18529	+	0.473809i	−0.977293	+	0.211894i
$5$	−2.18529	+	0.473809i	−0.977293	+	0.211894i
$6$	−1.54705	−	1.89911i	−0.631580	−	0.775310i
$7$	−4.19014			−1.58372			−0.791862	−	0.610700i	$-0.790888\pi$
$7$	−4.19014			−1.58372			−0.791862	+	0.610700i	$0.790888\pi$
$8$	−2.32521	+	1.61040i	−0.822086	+	0.569363i
$9$	−1.71229	+	2.46334i	−0.570765	+	0.821114i
$10$	2.89331	−	1.27622i	0.914946	−	0.403577i
$11$	−0.470935	+	0.648186i	−0.141992	+	0.195435i	−0.874090	−	0.485764i	$-0.838541\pi$
$11$	−0.470935	+	0.648186i	−0.141992	+	0.195435i	0.732098	+	0.681200i	$0.238541\pi$
$12$	2.68202	+	2.19244i	0.774232	+	0.632902i
$13$	2.12397	−	1.54315i	0.589083	−	0.427994i	−0.252904	−	0.967491i	$-0.581386\pi$
$13$	2.12397	−	1.54315i	0.589083	−	0.427994i	0.841987	+	0.539497i	$0.181386\pi$
$14$	5.80537	−	1.18836i	1.55155	−	0.317602i
$15$	−2.48077	−	2.97418i	−0.640533	−	0.767931i
$16$	2.76482	−	2.89063i	0.691205	−	0.722659i
$17$	−0.688153	+	2.11792i	−0.166902	+	0.513670i	−0.999171	−	0.0407006i	$-0.987041\pi$
$17$	−0.688153	+	2.11792i	−0.166902	+	0.513670i	0.832270	+	0.554371i	$0.187041\pi$
$18$	1.67373	−	3.89854i	0.394503	−	0.918895i
$19$	2.00742	−	6.17821i	0.460534	−	1.41738i	−0.403978	−	0.914769i	$-0.632373\pi$
$19$	2.00742	−	6.17821i	0.460534	−	1.41738i	0.864513	−	0.502611i	$-0.167627\pi$
$20$	−3.64669	+	2.58875i	−0.815425	+	0.578863i
$21$	−3.36219	−	6.43176i	−0.733689	−	1.40352i
$22$	0.468642	−	1.03161i	0.0999148	−	0.219941i
$23$	4.37786	−	6.02561i	0.912847	−	1.25643i	−0.0533375	−	0.998577i	$-0.516986\pi$
$23$	4.37786	−	6.02561i	0.912847	−	1.25643i	0.966185	−	0.257850i	$-0.0830141\pi$
$24$	−4.33769	−	2.27695i	−0.885426	−	0.464780i
$25$	4.55101	−	2.07082i	0.910202	−	0.414165i
$26$	−2.50508	+	2.74039i	−0.491286	+	0.537435i
$27$	−5.15512	−	0.651734i	−0.992103	−	0.125426i
$28$	−7.70622	+	3.29290i	−1.45634	+	0.622300i
$29$	−1.92002	−	5.90923i	−0.356540	−	1.09732i	−0.955111	−	0.296247i	$-0.904265\pi$
$29$	−1.92002	−	5.90923i	−0.356540	−	1.09732i	0.598572	−	0.801069i	$-0.295735\pi$
$30$	4.28057	+	3.41712i	0.781522	+	0.623877i
$31$	2.25142	+	0.731532i	0.404367	+	0.131387i	0.504137	−	0.863624i	$-0.331811\pi$
$31$	2.25142	+	0.731532i	0.404367	+	0.131387i	−0.0997697	+	0.995011i	$0.531811\pi$
$32$	−3.01081	+	4.78905i	−0.532241	+	0.846593i
$33$	−1.37283	−	0.202766i	−0.238979	−	0.0352970i
$34$	0.352767	−	3.12951i	0.0604990	−	0.536706i
$35$	9.15668	−	1.98533i	1.54776	−	0.335582i
$36$	−1.21328	+	5.87605i	−0.202213	+	0.979342i
$37$	−8.09215	+	5.87929i	−1.33034	+	0.966549i	−0.330600	+	0.943771i	$0.607251\pi$
$37$	−8.09215	+	5.87929i	−1.33034	+	0.966549i	−0.999741	+	0.0227781i	$0.992749\pi$
$38$	−1.02906	+	9.12914i	−0.166936	+	1.48094i
$39$	4.07299	+	2.02201i	0.652200	+	0.323780i
$40$	4.31824	−	4.62091i	0.682774	−	0.730629i
$41$	−3.40729	−	4.68974i	−0.532130	−	0.732414i	0.455323	−	0.890326i	$-0.349524\pi$
$41$	−3.40729	−	4.68974i	−0.532130	−	0.732414i	−0.987453	+	0.157912i	$0.949524\pi$
$42$	6.48235	+	7.95756i	1.00025	+	1.22788i
$43$			0.207576i			0.0316551i	0.999875	+	0.0158275i	$0.00503827\pi$
$43$			0.207576i			0.0316551i	−0.999875	+	0.0158275i	$0.994962\pi$
$44$	−0.356722	+	1.56219i	−0.0537779	+	0.235510i
$45$	2.57471	−	6.19442i	0.383815	−	0.923410i
$46$	−4.35655	+	9.58999i	−0.642338	+	1.41397i
$47$	−0.646207	+	0.209965i	−0.0942590	+	0.0306266i	−0.355767	−	0.934575i	$-0.615780\pi$
$47$	−0.646207	+	0.209965i	−0.0942590	+	0.0306266i	0.261508	+	0.965201i	$0.415780\pi$
$48$	6.65555	+	1.92447i	0.960647	+	0.277774i
$49$	10.5573			1.50818
$50$	−5.71805	+	4.15980i	−0.808654	+	0.588284i
$51$	−3.80312	+	0.643128i	−0.532544	+	0.0900560i
$52$	2.69355	−	4.50723i	0.373528	−	0.625040i
$53$	−11.9415	+	3.88003i	−1.64029	+	0.532964i	−0.976604	−	0.215045i	$-0.931010\pi$
$53$	−11.9415	+	3.88003i	−1.64029	+	0.532964i	−0.663689	+	0.748008i	$0.731010\pi$
$54$	7.32717	−	0.559066i	0.997102	−	0.0760792i
$55$	0.722014	−	1.63961i	0.0973563	−	0.221085i
$56$	9.74296	−	6.74781i	1.30196	−	0.901714i
$57$	11.0942	−	1.87608i	1.46946	−	0.248493i
$58$	4.33607	+	7.64261i	0.569354	+	1.00352i
$59$	−4.54730	−	6.25882i	−0.592008	−	0.814829i	0.402939	−	0.915227i	$-0.367989\pi$
$59$	−4.54730	−	6.25882i	−0.592008	−	0.814829i	−0.994947	+	0.100397i	$0.967989\pi$
$60$	−6.89979	−	3.52035i	−0.890759	−	0.454476i
$61$	−2.30523	+	3.17288i	−0.295155	+	0.406246i	−0.930680	−	0.365834i	$-0.880784\pi$
$61$	−2.30523	+	3.17288i	−0.295155	+	0.406246i	0.635525	+	0.772080i	$0.280784\pi$
$62$	−3.32678	−	0.375004i	−0.422501	−	0.0476255i
$63$	7.17475	−	10.3217i	0.903934	−	1.30042i
$64$	2.81321	−	7.48905i	0.351652	−	0.936131i
$65$	−3.91034	+	4.37860i	−0.485017	+	0.543099i
$66$	1.95954	−	0.108417i	0.241203	−	0.0133452i
$67$	−7.84045	−	2.54752i	−0.957864	−	0.311229i	−0.211957	−	0.977279i	$-0.567984\pi$
$67$	−7.84045	−	2.54752i	−0.957864	−	0.311229i	−0.745907	+	0.666050i	$0.767984\pi$
$68$	0.398800	+	4.43593i	0.0483616	+	0.537935i
$69$	12.7620	+	1.88493i	1.53636	+	0.226919i
$70$	−12.1234	+	5.34755i	−1.44902	+	0.639154i
$71$	−1.17330	−	3.61104i	−0.139245	−	0.428552i	0.856981	−	0.515348i	$-0.172337\pi$
$71$	−1.17330	−	3.61104i	−0.139245	−	0.428552i	−0.996226	+	0.0867960i	$0.972337\pi$
$72$	0.0144786	−	8.48527i	0.00170632	−	0.999999i
$73$	2.48447	−	3.41958i	0.290785	−	0.400231i	−0.638484	−	0.769635i	$-0.720438\pi$
$73$	2.48447	−	3.41958i	0.290785	−	0.400231i	0.929269	+	0.369404i	$0.120438\pi$
$74$	9.54413	−	10.4407i	1.10948	−	1.21370i
$75$	6.83041	+	5.32405i	0.788708	+	0.614768i
$76$	−1.16335	−	12.9401i	−0.133445	−	1.48433i
$77$	1.97328	−	2.71599i	0.224876	−	0.309516i
$78$	−6.21652	−	1.64633i	−0.703882	−	0.186410i
$79$	3.08294	−	1.00171i	0.346857	−	0.112701i	−0.130407	−	0.991461i	$-0.541628\pi$
$79$	3.08294	−	1.00171i	0.346857	−	0.112701i	0.477264	+	0.878760i	$0.341628\pi$
$80$	−4.67233	+	7.62688i	−0.522383	+	0.852711i
$81$	−3.13609	−	8.43593i	−0.348455	−	0.937326i
$82$	6.05080	+	5.53122i	0.668199	+	0.610821i
$83$	2.89804	−	8.91924i	0.318101	−	0.979014i	−0.656358	−	0.754449i	$-0.727904\pi$
$83$	2.89804	−	8.91924i	0.318101	−	0.979014i	0.974459	−	0.224565i	$-0.0720960\pi$
$84$	−11.2380	−	9.18662i	−1.22617	−	1.00234i
$85$	0.500326	−	4.95432i	0.0542680	−	0.537372i
$86$	−0.0588703	−	0.287594i	−0.00634815	−	0.0310120i
$87$	7.52988	−	7.68878i	0.807288	−	0.824324i
$88$	0.0511827	−	2.26556i	0.00545610	−	0.241510i
$89$	−7.93419	+	10.9205i	−0.841023	+	1.15757i	0.144747	+	0.989469i	$0.453763\pi$
$89$	−7.93419	+	10.9205i	−0.841023	+	1.15757i	−0.985770	+	0.168100i	$0.946237\pi$
$90$	−1.81043	+	9.31248i	−0.190837	+	0.981622i
$91$	−8.89973	+	6.46604i	−0.932946	+	0.677825i
$92$	3.31613	−	14.5223i	0.345731	−	1.51406i
$93$	0.683669	+	4.04286i	0.0708931	+	0.419225i
$94$	0.835762	−	0.474173i	0.0862023	−	0.0489072i
$95$	−1.45951	+	14.4523i	−0.149743	+	1.48278i
$96$	−9.76696	−	0.778757i	−0.996836	−	0.0794815i
$97$	−12.8790	+	4.18464i	−1.30766	+	0.424886i	−0.878241	−	0.478218i	$-0.841283\pi$
$97$	−12.8790	+	4.18464i	−1.30766	+	0.424886i	−0.429422	+	0.903104i	$0.641283\pi$
$98$	−14.6269	+	2.99413i	−1.47754	+	0.302453i
$99$	−0.790324	−	2.26996i	−0.0794306	−	0.228139i
$100$	6.74251	−	7.38502i	0.674251	−	0.738502i
$101$	11.1466			1.10912			0.554562	−	0.832143i	$-0.312886\pi$
$101$	11.1466			1.10912			0.554562	+	0.832143i	$0.312886\pi$
$102$	5.08677	−	1.96964i	0.503666	−	0.195023i
$103$	−0.405473	−	1.24792i	−0.0399524	−	0.122961i	0.929091	−	0.369851i	$-0.120591\pi$
$103$	−0.405473	−	1.24792i	−0.0399524	−	0.122961i	−0.969043	+	0.246890i	$0.920591\pi$
$104$	−2.45358	+	7.00861i	−0.240593	+	0.687250i
$105$	10.3948	+	12.4622i	1.01443	+	1.21619i
$106$	15.4444	−	8.76244i	1.50009	−	0.851083i
$107$	−1.17156			−0.113259			−0.0566294	−	0.998395i	$-0.518035\pi$
$107$	−1.17156			−0.113259			−0.0566294	+	0.998395i	$0.518035\pi$
$108$	−9.99313	+	2.85262i	−0.961589	+	0.274494i
$109$	2.18656	+	3.00955i	0.209435	+	0.288262i	0.900792	−	0.434251i	$-0.142987\pi$
$109$	2.18656	+	3.00955i	0.209435	+	0.288262i	−0.691357	+	0.722513i	$0.742987\pi$
$110$	−0.535332	+	2.47642i	−0.0510419	+	0.236118i
$111$	−15.5177	−	7.70367i	−1.47288	−	0.731200i
$112$	−11.5850	+	12.1122i	−1.09468	+	1.14449i
$113$	−0.0769690	+	0.0559212i	−0.00724063	+	0.00526063i	−0.591400	−	0.806379i	$-0.701424\pi$
$113$	−0.0769690	+	0.0559212i	−0.00724063	+	0.00526063i	0.584159	+	0.811639i	$0.301424\pi$
$114$	−14.8387	+	5.74568i	−1.38977	+	0.538132i
$115$	−6.71192	+	15.2420i	−0.625890	+	1.42132i
$116$	−8.17506	−	9.35897i	−0.759035	−	0.868958i
$117$	0.164453	+	7.87440i	0.0152037	+	0.727988i
$118$	8.07527	+	7.38185i	0.743389	+	0.679554i
$119$	2.88346	−	8.87437i	0.264326	−	0.813512i
$120$	10.5580	+	2.92056i	0.963805	+	0.266609i
$121$	3.20082	+	9.85111i	0.290984	+	0.895556i
$122$	2.29401	−	5.04976i	0.207690	−	0.457184i
$123$	4.46460	−	8.99317i	0.402559	−	0.810887i
$124$	4.71555	−	0.423939i	0.423469	−	0.0380708i
$125$	−8.96411	+	6.68167i	−0.801774	+	0.597627i
$126$	−7.01318	+	16.3354i	−0.624784	+	1.45528i
$127$	4.53611	+	3.29567i	0.402514	+	0.292444i	0.770564	−	0.637362i	$-0.219974\pi$
$127$	4.53611	+	3.29567i	0.402514	+	0.292444i	−0.368050	+	0.929806i	$0.619974\pi$
$128$	−1.77371	+	11.1738i	−0.156775	+	0.987634i
$129$	−0.318624	+	0.166560i	−0.0280533	+	0.0146648i
$130$	4.17590	−	7.17549i	0.366251	−	0.629332i
$131$	−14.4688	−	4.70118i	−1.26414	−	0.410744i	−0.401173	−	0.916002i	$-0.631397\pi$
$131$	−14.4688	−	4.70118i	−1.26414	−	0.410744i	−0.862968	+	0.505258i	$0.831397\pi$
$132$	−2.68416	+	0.705951i	−0.233626	+	0.0614451i
$133$	−8.41138	+	25.8876i	−0.729360	+	2.24474i
$134$	11.5853	+	1.30593i	1.00082	+	0.112815i
$135$	11.5742	−	1.01831i	0.996152	−	0.0876425i
$136$	−1.81060	−	6.03281i	−0.155257	−	0.517309i
$137$	17.3369	−	12.5960i	1.48119	−	1.07615i	0.504020	−	0.863692i	$-0.331854\pi$
$137$	17.3369	−	12.5960i	1.48119	−	1.07615i	0.977171	−	0.212456i	$-0.0681462\pi$
$138$	−18.2161	+	1.00785i	−1.55066	+	0.0857943i
$139$	−0.180417	−	0.131081i	−0.0153028	−	0.0111181i	0.580108	−	0.814540i	$-0.303011\pi$
$139$	−0.180417	−	0.131081i	−0.0153028	−	0.0111181i	−0.595410	+	0.803422i	$0.703011\pi$
$140$	15.2802	−	10.8472i	1.29141	−	0.916759i
$141$	−0.840811	−	0.823435i	−0.0708091	−	0.0693457i
$142$	2.64971	+	4.67028i	0.222358	+	0.391921i
$143$			2.10345i			0.175900i
$144$	2.38643	+	11.7603i	0.198869	+	0.980026i
$145$	6.99566	+	12.0037i	0.580958	+	0.996850i
$146$	−2.47237	+	5.44238i	−0.204615	+	0.450415i
$147$	8.47120	+	16.2051i	0.698693	+	1.33658i
$148$	−10.2622	+	17.1722i	−0.843546	+	1.41154i
$149$	2.27254			0.186174			0.0930868	−	0.995658i	$-0.470327\pi$
$149$	2.27254			0.186174			0.0930868	+	0.995658i	$0.470327\pi$
$150$	−10.9734	−	5.43922i	−0.895972	−	0.444111i
$151$		−	11.7391i		−	0.955314i	−0.878546	−	0.477657i	$-0.841486\pi$
$151$		−	11.7391i		−	0.955314i	0.878546	−	0.477657i	$-0.158514\pi$
$152$	5.28172	+	17.5984i	0.428404	+	1.42742i
$153$	−4.03883	−	5.32165i	−0.326520	−	0.430230i
$154$	−1.96368	+	4.32260i	−0.158237	+	0.348325i
$155$	−5.26662	−	0.531865i	−0.423025	−	0.0427204i
$156$	9.07980	+	0.517906i	0.726966	+	0.0414657i
$157$	12.3581			0.986284			0.493142	−	0.869949i	$-0.335848\pi$
$157$	12.3581			0.986284			0.493142	+	0.869949i	$0.335848\pi$
$158$	−3.98727	+	2.26219i	−0.317210	+	0.179970i
$159$	−15.5377	−	15.2166i	−1.23222	−	1.20675i
$160$	4.31040	−	11.8920i	0.340767	−	0.940148i
$161$	−18.3439	+	25.2482i	−1.44570	+	1.98983i
$162$	6.73751	+	10.7984i	0.529348	+	0.848405i
$163$	−9.82761	−	13.5265i	−0.769758	−	1.05948i	−0.996339	−	0.0854884i	$-0.972755\pi$
$163$	−9.82761	−	13.5265i	−0.769758	−	1.05948i	0.226581	−	0.973992i	$-0.427245\pi$
$164$	−9.95198	−	5.94736i	−0.777119	−	0.464411i
$165$	3.09611	−	0.207357i	0.241032	−	0.0161427i
$166$	−1.48562	+	13.1794i	−0.115306	+	1.02292i
$167$	11.1472	+	3.62193i	0.862594	+	0.280274i	0.706711	−	0.707502i	$-0.250178\pi$
$167$	11.1472	+	3.62193i	0.862594	+	0.280274i	0.155882	+	0.987776i	$0.450178\pi$
$168$	18.1755	+	9.54073i	1.40227	+	0.736083i
$169$	−1.88730	+	5.80850i	−0.145177	+	0.446808i
$170$	0.711891	+	7.00603i	0.0545995	+	0.537338i
$171$	11.7817	+	15.5239i	0.900972	+	1.18714i
$172$	0.163128	+	0.381760i	0.0124384	+	0.0291090i
$173$	−4.26949	+	5.87645i	−0.324604	+	0.446779i	−0.939866	−	0.341544i	$-0.889050\pi$
$173$	−4.26949	+	5.87645i	−0.324604	+	0.446779i	0.615262	+	0.788323i	$0.289050\pi$
$174$	−8.25193	+	12.7882i	−0.625577	+	0.969472i
$175$	−19.0694	+	8.67705i	−1.44151	+	0.655923i
$176$	0.571619	+	3.15342i	0.0430874	+	0.237698i
$177$	5.95836	−	12.0021i	0.447858	−	0.902133i
$178$	7.89556	−	17.3804i	0.591798	−	1.30271i
$179$	−7.17488	+	2.33126i	−0.536276	+	0.174247i	−0.564619	−	0.825352i	$-0.690977\pi$
$179$	−7.17488	+	2.33126i	−0.536276	+	0.174247i	0.0283432	+	0.999598i	$0.490977\pi$
$180$	−0.132767	−	13.4158i	−0.00989585	−	0.999951i
$181$	−14.5584	−	4.73031i	−1.08212	−	0.351601i	−0.286921	−	0.957954i	$-0.592632\pi$
$181$	−14.5584	−	4.73031i	−1.08212	−	0.351601i	−0.795195	+	0.606353i	$0.792632\pi$
$182$	10.4966	−	11.4826i	0.778061	−	0.851149i
$183$	−6.72003	−	0.992542i	−0.496759	−	0.0733708i
$184$	−0.475800	+	21.0609i	−0.0350765	+	1.55263i
$185$	14.8980	−	16.6821i	1.09533	−	1.22649i
$186$	−2.09380	−	5.40743i	−0.153525	−	0.396492i
$187$	−1.04873	−	1.44345i	−0.0766907	−	0.105556i
$188$	−1.02346	+	0.893989i	−0.0746432	+	0.0652008i
$189$	21.6007	+	2.73086i	1.57122	+	0.198641i
$190$	−2.07667	−	20.4374i	−0.150657	−	1.48269i
$191$	−1.66357	+	1.20865i	−0.120372	+	0.0874550i	−0.646342	−	0.763048i	$-0.723702\pi$
$191$	−1.66357	+	1.20865i	−0.120372	+	0.0874550i	0.525971	+	0.850503i	$0.323702\pi$
$192$	13.7528	−	1.69103i	0.992525	−	0.122040i
$193$		−	13.4163i		−	0.965728i	−0.875695	−	0.482864i	$-0.839597\pi$
$193$		−	13.4163i		−	0.965728i	0.875695	−	0.482864i	$-0.160403\pi$
$194$	16.6568	−	9.45033i	1.19589	−	0.678494i
$195$	−9.85871	−	2.48886i	−0.705997	−	0.178231i
$196$	19.4162	−	8.29663i	1.38687	−	0.592617i
$197$	3.09074	−	1.00424i	0.220206	−	0.0715493i	−0.196836	−	0.980436i	$-0.563067\pi$
$197$	3.09074	−	1.00424i	0.220206	−	0.0715493i	0.417042	+	0.908887i	$0.363067\pi$
$198$	1.73876	+	2.92085i	0.123568	+	0.207576i
$199$			11.9182i			0.844859i	0.906396	+	0.422429i	$0.138823\pi$
$199$			11.9182i			0.844859i	−0.906396	+	0.422429i	$0.861177\pi$
$200$	−7.24720	+	12.1441i	−0.512454	+	0.858715i
$201$	−2.38084	−	14.0790i	−0.167931	−	0.993059i
$202$	−15.4434	+	3.16125i	−1.08659	+	0.222425i
$203$	8.04517	+	24.7605i	0.564660	+	1.73785i
$204$	−6.48904	+	4.17156i	−0.454324	+	0.292067i
$205$	9.66797	+	8.63404i	0.675241	+	0.603027i
$206$	0.915696	+	1.61397i	0.0637995	+	0.112451i
$207$	7.34694	+	21.1018i	0.510648	+	1.46668i
$208$	1.41170	−	10.4062i	0.0978838	−	0.721538i
$209$	3.05927	+	4.21072i	0.211614	+	0.291262i
$210$	−17.9362	−	14.3182i	−1.23772	−	0.988049i
$211$	−21.0453	−	15.2903i	−1.44882	−	1.05263i	−0.986106	−	0.166117i	$-0.946877\pi$
$211$	−21.0453	−	15.2903i	−1.44882	−	1.05263i	−0.462710	−	0.886510i	$-0.653123\pi$
$212$	−18.9128	+	16.5204i	−1.29894	+	1.13462i
$213$	4.60139	−	4.69850i	0.315282	−	0.321936i
$214$	1.62317	−	0.332263i	0.110958	−	0.0227130i
$215$	−0.0983516	−	0.453615i	−0.00670752	−	0.0309363i
$216$	13.0363	−	6.78639i	0.887007	−	0.461755i
$217$	−9.43378	−	3.06522i	−0.640406	−	0.208081i
$218$	−3.88298	−	3.54955i	−0.262989	−	0.240406i
$219$	7.24251	+	1.06971i	0.489403	+	0.0722844i
$220$	0.0393610	−	3.58287i	0.00265372	−	0.241557i
$221$	1.80666	+	5.56032i	0.121529	+	0.374027i
$222$	23.6844	+	6.27236i	1.58959	+	0.420974i
$223$	−16.9024	−	12.2803i	−1.13187	−	0.822348i	−0.145900	−	0.989299i	$-0.546608\pi$
$223$	−16.9024	−	12.2803i	−1.13187	−	0.822348i	−0.985965	+	0.166951i	$0.946608\pi$
$224$	12.6157	−	20.0668i	0.842922	−	1.34077i
$225$	−2.69152	+	14.7565i	−0.179435	+	0.983770i
$226$	0.0907796	−	0.0993070i	0.00603857	−	0.00660580i
$227$	−13.2278	−	9.61053i	−0.877957	−	0.637873i	0.0547530	−	0.998500i	$-0.482563\pi$
$227$	−13.2278	−	9.61053i	−0.877957	−	0.637873i	−0.932710	+	0.360627i	$0.882563\pi$
$228$	18.9293	−	12.1689i	1.25362	−	0.805907i
$229$	−26.2621	+	8.53307i	−1.73545	+	0.563881i	−0.994219	−	0.107372i	$-0.965756\pi$
$229$	−26.2621	+	8.53307i	−1.73545	+	0.563881i	−0.741228	+	0.671253i	$0.765756\pi$
$230$	4.97651	−	23.0211i	0.328141	−	1.51797i
$231$	5.75235	+	0.849617i	0.378477	+	0.0559007i
$232$	13.9807	+	10.6482i	0.917878	+	0.699088i
$233$	−2.67245	+	8.22495i	−0.175078	+	0.538834i	−0.999637	−	0.0269416i	$-0.991423\pi$
$233$	−2.67245	+	8.22495i	−0.175078	+	0.538834i	0.824559	+	0.565776i	$0.191423\pi$
$234$	−2.46109	−	10.8632i	−0.160886	−	0.710151i
$235$	1.31267	−	0.765015i	0.0856290	−	0.0499041i
$236$	−13.2817	−	7.93723i	−0.864565	−	0.516669i
$237$	4.01135	+	3.92845i	0.260565	+	0.255181i
$238$	−1.47814	+	13.1131i	−0.0958137	+	0.849994i
$239$	4.27499	+	3.10596i	0.276526	+	0.200908i	0.717401	−	0.696661i	$-0.245332\pi$
$239$	4.27499	+	3.10596i	0.276526	+	0.200908i	−0.440875	+	0.897569i	$0.645332\pi$
$240$	−15.4562	−	1.05207i	−0.997691	−	0.0679108i
$241$	−5.99481	+	4.35548i	−0.386160	+	0.280561i	−0.763880	−	0.645358i	$-0.776708\pi$
$241$	−5.99481	+	4.35548i	−0.386160	+	0.280561i	0.377720	+	0.925920i	$0.376708\pi$
$242$	−7.22854	−	12.7408i	−0.464668	−	0.819009i
$243$	10.4325	−	11.5829i	0.669247	−	0.743040i
$244$	−1.74616	+	7.64697i	−0.111787	+	0.489547i
$245$	−23.0707	+	5.00214i	−1.47394	+	0.319575i
$246$	−3.63510	+	13.7261i	−0.231765	+	0.875144i
$247$	−5.27023	−	16.2201i	−0.335337	−	1.03206i
$248$	−6.41309	+	1.92473i	−0.407232	+	0.122220i
$249$	16.0162	−	2.70842i	1.01499	−	0.171639i
$250$	10.5247	−	11.7996i	0.665638	−	0.746275i
$251$		−	2.70099i		−	0.170485i	−0.996360	−	0.0852425i	$-0.972833\pi$
$251$		−	2.70099i		−	0.170485i	0.996360	−	0.0852425i	$-0.0271665\pi$
$252$	5.08379	−	24.6215i	0.320249	−	1.55101i
$253$	1.84403	+	5.67534i	0.115933	+	0.356806i
$254$	−7.21938	−	3.27963i	−0.452984	−	0.205782i
$255$	8.00622	−	3.20738i	0.501369	−	0.200854i
$256$	−0.711537	−	15.9842i	−0.0444710	−	0.999011i
$257$	2.10979			0.131605			0.0658026	−	0.997833i	$-0.479039\pi$
$257$	2.10979			0.131605			0.0658026	+	0.997833i	$0.479039\pi$
$258$	0.394211	−	0.321131i	0.0245425	−	0.0199927i
$259$	33.9072	−	24.6350i	2.10689	−	1.53075i
$260$	−3.75062	+	11.1258i	−0.232604	+	0.689996i
$261$	17.8441	+	5.38867i	1.10452	+	0.333550i
$262$	21.3795	+	2.40996i	1.32083	+	0.148888i
$263$	−2.14938	−	2.95837i	−0.132536	−	0.182421i	0.737591	−	0.675248i	$-0.235963\pi$
$263$	−2.14938	−	2.95837i	−0.132536	−	0.182421i	−0.870127	+	0.492827i	$0.835963\pi$
$264$	3.51865	−	1.73933i	0.216558	−	0.107049i
$265$	24.2573	−	14.1370i	1.49012	−	0.868430i
$266$	4.31192	−	38.2524i	0.264381	−	2.34540i
$267$	−23.1291	−	3.41615i	−1.41548	−	0.209065i
$268$	−16.4217	+	1.47634i	−1.00311	+	0.0901821i
$269$	5.64801	−	17.3828i	0.344365	−	1.05985i	−0.617558	−	0.786526i	$-0.711878\pi$
$269$	5.64801	−	17.3828i	0.344365	−	1.05985i	0.961923	−	0.273321i	$-0.0881223\pi$
$270$	−15.7471	+	4.69341i	−0.958340	+	0.285632i
$271$	9.93831	−	3.22915i	0.603709	−	0.196157i	0.00881520	−	0.999961i	$-0.497194\pi$
$271$	9.93831	−	3.22915i	0.603709	−	0.196157i	0.594894	+	0.803804i	$0.297194\pi$
$272$	4.21950	+	7.84486i	0.255845	+	0.475664i
$273$	−17.0664	−	8.47249i	−1.03290	−	0.512779i
$274$	−20.4477	+	22.3684i	−1.23529	+	1.35133i
$275$	−0.800949	+	3.92512i	−0.0482990	+	0.236694i
$276$	24.9523	−	6.56260i	1.50195	−	0.395022i
$277$	−14.2555	−	10.3572i	−0.856529	−	0.622305i	0.0704094	−	0.997518i	$-0.477569\pi$
$277$	−14.2555	−	10.3572i	−0.856529	−	0.622305i	−0.926938	+	0.375213i	$0.877569\pi$
$278$	0.287140	+	0.130442i	0.0172215	+	0.00782341i
$279$	−5.65711	+	4.29342i	−0.338682	+	0.257041i
$280$	−18.0940	+	19.3622i	−1.08133	+	1.15712i
$281$	18.1313	+	5.89123i	1.08162	+	0.351441i	0.795005	−	0.606603i	$-0.207468\pi$
$281$	18.1313	+	5.89123i	1.08162	+	0.351441i	0.286620	+	0.958044i	$0.407468\pi$
$282$	1.39846	+	0.902395i	0.0832773	+	0.0537368i
$283$	29.7619	+	9.67022i	1.76916	+	0.574835i	0.998082	−	0.0619064i	$-0.0197180\pi$
$283$	29.7619	+	9.67022i	1.76916	+	0.574835i	0.771078	+	0.636741i	$0.219718\pi$
$284$	−4.99565	−	5.71912i	−0.296438	−	0.339368i
$285$	−23.3551	+	9.35631i	−1.38344	+	0.554220i
$286$	−0.596556	−	2.91430i	−0.0352751	−	0.172326i
$287$	14.2770	+	19.6507i	0.842747	+	1.15994i
$288$	−6.64168	−	15.6169i	−0.391365	−	0.920236i
$289$	9.74127	+	7.07745i	0.573016	+	0.416321i
$290$	−13.0967	−	14.6469i	−0.769066	−	0.860094i
$291$	−16.7575	−	16.4112i	−0.982340	−	0.962039i
$292$	1.88193	−	8.24152i	0.110131	−	0.482298i
$293$		−	1.66053i		−	0.0970091i	−0.998823	−	0.0485046i	$-0.984554\pi$
$293$		−	1.66053i		−	0.0970091i	0.998823	−	0.0485046i	$-0.0154455\pi$
$294$	−16.3326	−	20.0495i	−0.952538	−	1.16931i
$295$	12.9027	+	11.5228i	0.751223	+	0.670884i
$296$	9.34793	−	26.7022i	0.543338	−	1.55203i
$297$	2.85017	−	3.03455i	0.165384	−	0.176083i
$298$	−3.14857	+	0.644510i	−0.182392	+	0.0373355i
$299$		−	19.5539i		−	1.13083i
$300$	16.7460	+	4.42382i	0.966833	+	0.255409i
$301$		−	0.869774i		−	0.0501329i
$302$	3.32930	+	16.2643i	0.191580	+	0.935907i
$303$	8.94404	+	17.1097i	0.513822	+	0.982925i
$304$	−12.3088	−	22.8844i	−0.705958	−	1.31251i
$305$	3.53427	−	8.02592i	0.202372	−	0.459563i
$306$	7.10500	+	6.22762i	0.406166	+	0.356009i
$307$			16.5102i			0.942289i	0.882056	+	0.471144i	$0.156159\pi$
$307$			16.5102i			0.942289i	−0.882056	+	0.471144i	$0.843841\pi$
$308$	1.49472	−	6.54581i	0.0851694	−	0.372982i
$309$	1.59017	−	1.62373i	0.0904615	−	0.0923705i
$310$	7.44767	−	0.756766i	0.422999	−	0.0429814i
$311$	11.0655	+	8.03956i	0.627467	+	0.455882i	0.855522	−	0.517767i	$-0.173236\pi$
$311$	11.0655	+	8.03956i	0.627467	+	0.455882i	−0.228055	+	0.973648i	$0.573236\pi$
$312$	−12.7268	+	1.85755i	−0.720513	+	0.105163i
$313$	−5.49300	−	7.56046i	−0.310483	−	0.427343i	0.625049	−	0.780585i	$-0.285079\pi$
$313$	−5.49300	−	7.56046i	−0.310483	−	0.427343i	−0.935532	+	0.353243i	$0.885079\pi$
$314$	−17.1220	+	3.50486i	−0.966248	+	0.197791i
$315$	−10.7884	+	25.9555i	−0.607857	+	1.46243i
$316$	4.88272	−	4.26505i	0.274674	−	0.239928i
$317$	−17.0984	−	5.55560i	−0.960340	−	0.312033i	−0.213430	−	0.976958i	$-0.568463\pi$
$317$	−17.0984	−	5.55560i	−0.960340	−	0.312033i	−0.746910	+	0.664925i	$0.768463\pi$
$318$	25.8428	+	16.6757i	1.44919	+	0.935127i
$319$	4.73449	+	1.53833i	0.265080	+	0.0861298i
$320$	−2.59931	+	17.6987i	−0.145306	+	0.989387i
$321$	−0.940063	−	1.79831i	−0.0524692	−	0.100372i
$322$	18.2545	−	40.1834i	1.01729	−	2.23933i
$323$	11.7035	+	8.50311i	0.651202	+	0.473126i
$324$	−12.3972	−	13.0502i	−0.688735	−	0.725013i
$325$	6.47061	−	11.4213i	0.358925	−	0.633539i
$326$	17.4522	+	15.9536i	0.966590	+	0.883589i
$327$	−2.86507	+	5.77119i	−0.158439	+	0.319148i
$328$	15.4750	+	5.41752i	0.854466	+	0.299132i
$329$	2.70770	−	0.879785i	0.149280	−	0.0485041i
$330$	−4.23080	+	1.16537i	−0.232898	+	0.0641516i
$331$	−7.10082	+	21.8541i	−0.390296	+	1.20121i	0.542268	+	0.840206i	$0.317566\pi$
$331$	−7.10082	+	21.8541i	−0.390296	+	1.20121i	−0.932565	+	0.361003i	$0.882434\pi$
$332$	−1.67948	−	18.6812i	−0.0921733	−	1.02526i
$333$	−0.626551	−	30.0008i	−0.0343348	−	1.64403i
$334$	−16.4714	−	1.85671i	−0.901277	−	0.101594i
$335$	18.3407	+	1.85219i	1.00206	+	0.101196i
$336$	−27.8877	−	8.06381i	−1.52140	−	0.439917i
$337$	−19.9327	−	27.4350i	−1.08580	−	1.49448i	−0.852966	−	0.521966i	$-0.825199\pi$
$337$	−19.9327	−	27.4350i	−1.08580	−	1.49448i	−0.232838	−	0.972516i	$-0.574801\pi$
$338$	0.967482	−	8.58284i	0.0526241	−	0.466845i
$339$	−0.147598	−	0.0732740i	−0.00801642	−	0.00397970i
$340$	−2.97328	−	9.50485i	−0.161249	−	0.515473i
$341$	−1.53444	+	1.11484i	−0.0830947	+	0.0603718i
$342$	−20.7261	−	18.1667i	−1.12074	−	0.982343i
$343$	−14.9055			−0.804820
$344$	−0.334281	−	0.482659i	−0.0180232	−	0.0260232i
$345$	−28.7818	+	1.92762i	−1.54956	+	0.103779i
$346$	4.24871	−	9.35260i	0.228412	−	0.502799i
$347$	−7.70959	−	23.7277i	−0.413873	−	1.27377i	−0.913255	−	0.407388i	$-0.866440\pi$
$347$	−7.70959	−	23.7277i	−0.413873	−	1.27377i	0.499383	−	0.866382i	$-0.333560\pi$
$348$	7.80608	−	20.0582i	0.418450	−	1.07523i
$349$			9.93456i			0.531785i	0.964003	+	0.265892i	$0.0856666\pi$
$349$			9.93456i			0.531785i	−0.964003	+	0.265892i	$0.914333\pi$
$350$	23.9594	−	17.4301i	1.28069	−	0.931680i
$351$	−11.9550	+	6.57088i	−0.638113	+	0.350728i
$352$	−1.68630	−	4.20690i	−0.0898803	−	0.224228i
$353$	−0.930377	−	2.86341i	−0.0495190	−	0.152404i	0.923239	−	0.384225i	$-0.125531\pi$
$353$	−0.930377	−	2.86341i	−0.0495190	−	0.152404i	−0.972758	+	0.231822i	$0.925531\pi$
$354$	−4.85132	+	18.3186i	−0.257845	+	0.973620i
$355$	4.27494	+	7.33526i	0.226890	+	0.389315i
$356$	−6.00997	+	26.3195i	−0.318528	+	1.39493i
$357$	15.9356	−	2.69480i	0.843403	−	0.142624i
$358$	9.27952	−	5.26478i	0.490438	−	0.278252i
$359$	−17.9307	+	13.0274i	−0.946348	+	0.687562i	−0.949940	−	0.312432i	$-0.898856\pi$
$359$	−17.9307	+	13.0274i	−0.946348	+	0.687562i	0.00359244	+	0.999994i	$0.498856\pi$
$360$	3.98876	+	18.5497i	0.210226	+	0.977653i
$361$	−18.7693	−	13.6367i	−0.987855	−	0.717719i
$362$	21.5120	+	2.42489i	1.13064	+	0.127449i
$363$	−12.5529	+	12.8178i	−0.658854	+	0.672758i
$364$	−11.2863	+	18.8859i	−0.591565	+	0.989891i
$365$	−3.80906	+	8.64994i	−0.199375	+	0.452758i
$366$	9.59198	−	0.530702i	0.501381	−	0.0277403i
$367$	−0.410316	+	1.26282i	−0.0214183	+	0.0659188i	−0.961194	−	0.275872i	$-0.911033\pi$
$367$	−0.410316	+	1.26282i	−0.0214183	+	0.0659188i	0.939776	+	0.341791i	$0.111033\pi$
$368$	−5.31384	−	29.3145i	−0.277003	−	1.52813i
$369$	17.3867	−	0.363112i	0.905116	−	0.0189029i
$370$	−15.9098	+	27.3380i	−0.827113	+	1.42123i
$371$	50.0366	−	16.2579i	2.59777	−	0.844067i
$372$	4.43452	+	6.89808i	0.229919	+	0.357649i
$373$	−15.0587	−	10.9408i	−0.779711	−	0.566493i	0.125181	−	0.992134i	$-0.460049\pi$
$373$	−15.0587	−	10.9408i	−0.779711	−	0.566493i	−0.904892	+	0.425641i	$0.860049\pi$
$374$	1.86237	+	1.70245i	0.0963010	+	0.0880317i
$375$	−17.4490	−	8.39828i	−0.901064	−	0.433686i
$376$	1.16444	−	1.52887i	0.0600514	−	0.0788453i
$377$	−13.1969	−	9.58813i	−0.679676	−	0.493814i
$378$	−30.7019	+	2.34256i	−1.57913	+	0.120488i
$379$	6.38763	+	19.6591i	0.328110	+	1.00982i	0.970017	+	0.243037i	$0.0781437\pi$
$379$	6.38763	+	19.6591i	0.328110	+	1.00982i	−0.641907	+	0.766783i	$0.721856\pi$
$380$	8.67341	+	27.7268i	0.444936	+	1.42235i
$381$	−1.41899	+	9.60727i	−0.0726968	+	0.492195i
$382$	1.96206	−	2.14637i	0.100388	−	0.109818i
$383$	25.4226	+	8.26031i	1.29903	+	0.422082i	0.875246	−	0.483679i	$-0.160700\pi$
$383$	25.4226	+	8.26031i	1.29903	+	0.422082i	0.423789	+	0.905761i	$0.360700\pi$
$384$	−18.5747	+	6.24331i	−0.947888	+	0.318603i
$385$	−3.02534	+	6.87020i	−0.154186	+	0.350138i
$386$	3.80498	+	18.5881i	0.193668	+	0.946109i
$387$	−0.511331	−	0.355432i	−0.0259924	−	0.0180676i
$388$	−20.3976	+	17.8173i	−1.03553	+	0.904536i
$389$	22.8729	+	16.6181i	1.15970	+	0.842573i	0.989740	−	0.142878i	$-0.0456357\pi$
$389$	22.8729	+	16.6181i	1.15970	+	0.842573i	0.169962	+	0.985451i	$0.445636\pi$
$390$	14.3650	+	0.652262i	0.727398	+	0.0330286i
$391$	9.74910	+	13.4185i	0.493033	+	0.678602i
$392$	−24.5479	+	17.0015i	−1.23986	+	0.858703i
$393$	−4.39359	−	25.9814i	−0.221627	−	1.31059i
$394$	−3.99736	+	2.26792i	−0.201384	+	0.114256i
$395$	−6.26250	+	3.64975i	−0.315100	+	0.183639i
$396$	−3.23740	−	3.55366i	−0.162686	−	0.178578i
$397$	−4.35044	−	13.3893i	−0.218342	−	0.671989i	−0.998899	−	0.0469041i	$-0.985064\pi$
$397$	−4.35044	−	13.3893i	−0.218342	−	0.671989i	0.780557	−	0.625085i	$-0.214936\pi$
$398$	−3.38010	−	16.5125i	−0.169429	−	0.827696i
$399$	−46.4861	+	7.86104i	−2.32722	+	0.393544i
$400$	6.59673	−	18.8808i	0.329836	−	0.944038i
$401$			37.4697i			1.87115i	0.353134	+	0.935573i	$0.385116\pi$
$401$			37.4697i			1.87115i	−0.353134	+	0.935573i	$0.614884\pi$
$402$	7.29154	+	18.8311i	0.363669	+	0.939208i
$403$	5.91082	−	1.92054i	0.294439	−	0.0956690i
$404$	20.5000	−	8.75973i	1.01991	−	0.435813i
$405$	10.8503	+	16.9491i	0.539156	+	0.842206i
$406$	−18.1687	−	32.0236i	−0.901699	−	1.58930i
$407$		−	8.01398i		−	0.397238i
$408$	7.80737	−	7.61997i	0.386523	−	0.377245i
$409$	1.29221	−	0.938847i	0.0638958	−	0.0464230i	−0.555379	−	0.831597i	$-0.687427\pi$
$409$	1.29221	−	0.938847i	0.0638958	−	0.0464230i	0.619275	+	0.785174i	$0.287427\pi$
$410$	−15.8435	−	9.22041i	−0.782455	−	0.455364i
$411$	33.2457	+	16.5046i	1.63989	+	0.814113i
$412$	−1.72642	−	1.97644i	−0.0850545	−	0.0973721i
$413$	19.0538	+	26.2253i	0.937578	+	1.29046i
$414$	−16.1637	−	27.1525i	−0.794403	−	1.33447i
$415$	−2.10704	+	20.8643i	−0.103431	+	1.02419i
$416$	0.995385	+	14.8180i	0.0488027	+	0.726510i
$417$	0.0564380	−	0.382115i	0.00276378	−	0.0187123i
$418$	−5.43276	−	4.96625i	−0.265725	−	0.242907i
$419$	−7.84011	−	2.54741i	−0.383015	−	0.124449i	0.111180	−	0.993800i	$-0.464537\pi$
$419$	−7.84011	−	2.54741i	−0.383015	−	0.124449i	−0.494195	+	0.869351i	$0.664537\pi$
$420$	28.9111	+	14.7508i	1.41072	+	0.719764i
$421$	27.1796	−	8.83119i	1.32465	−	0.430406i	0.440562	−	0.897722i	$-0.354779\pi$
$421$	27.1796	−	8.83119i	1.32465	−	0.430406i	0.884090	+	0.467316i	$0.154779\pi$
$422$	33.4943	+	15.2158i	1.63048	+	0.740696i
$423$	0.589281	−	1.95135i	0.0286518	−	0.0948779i
$424$	21.5181	−	28.2525i	1.04501	−	1.37206i
$425$	1.25404	+	11.0637i	0.0608301	+	0.536668i
$426$	−5.04263	+	7.81468i	−0.244316	+	0.378623i
$427$	9.65926	−	13.2948i	0.467444	−	0.643382i
$428$	−2.15465	+	0.920691i	−0.104149	+	0.0445033i
$429$	−3.22875	+	1.68782i	−0.155885	+	0.0814887i
$430$	0.264913	+	0.600583i	0.0127753	+	0.0289627i
$431$	10.9220	−	33.6143i	0.526092	−	1.61915i	−0.236054	−	0.971740i	$-0.575854\pi$
$431$	10.9220	−	33.6143i	0.526092	−	1.61915i	0.762146	−	0.647405i	$-0.224146\pi$
$432$	−16.1369	+	13.0996i	−0.776387	+	0.630257i
$433$	−1.96021	−	0.636912i	−0.0942018	−	0.0306080i	0.261537	−	0.965193i	$-0.415771\pi$
$433$	−1.96021	−	0.636912i	−0.0942018	−	0.0306080i	−0.355739	+	0.934585i	$0.615771\pi$
$434$	13.9397	+	1.57132i	0.669125	+	0.0754257i
$435$	−12.8120	+	20.3700i	−0.614287	+	0.976665i
$436$	6.38649	+	3.81660i	0.305857	+	0.182782i
$437$	−28.4393	−	39.1433i	−1.36044	−	1.87248i
$438$	−10.3378	+	0.571964i	−0.493957	+	0.0273295i
$439$	−10.5510	+	14.5222i	−0.503571	+	0.693105i	−0.982819	−	0.184574i	$-0.940909\pi$
$439$	−10.5510	+	14.5222i	−0.503571	+	0.693105i	0.479248	+	0.877680i	$0.340909\pi$
$440$	0.961596	+	4.97517i	0.0458423	+	0.237182i
$441$	−18.0772	+	26.0062i	−0.860817	+	1.23839i
$442$	−4.08005	−	7.19135i	−0.194068	−	0.342058i
$443$	36.6570			1.74163			0.870813	−	0.491615i	$-0.163593\pi$
$443$	36.6570			1.74163			0.870813	+	0.491615i	$0.163593\pi$
$444$	−34.5932	−	1.97318i	−1.64172	−	0.0936429i
$445$	12.1643	−	27.6237i	0.576644	−	1.30949i
$446$	26.9007	+	12.2205i	1.27379	+	0.578657i
$447$	1.82349	+	3.48829i	0.0862483	+	0.164990i
$448$	−11.7878	+	31.3802i	−0.556919	+	1.48257i
$449$			14.6905i			0.693287i	0.937997	+	0.346643i	$0.112679\pi$
$449$			14.6905i			0.693287i	−0.937997	+	0.346643i	$0.887321\pi$
$450$	−0.456014	−	21.2083i	−0.0214967	−	0.999769i
$451$	4.64443			0.218698
$452$	−0.0976094	+	0.163334i	−0.00459116	+	0.00768259i
$453$	18.0192	−	9.41950i	0.846616	−	0.442567i
$454$	21.0525	+	9.56374i	0.988042	+	0.448849i
$455$	16.3849	−	18.3470i	0.768134	−	0.860119i
$456$	−22.7750	+	22.2283i	−1.06654	+	1.04094i
$457$			32.7105i			1.53013i	0.643951	+	0.765067i	$0.277294\pi$
$457$			32.7105i			1.53013i	−0.643951	+	0.765067i	$0.722706\pi$
$458$	33.9657	−	19.2706i	1.58711	−	0.900454i
$459$	4.92783	−	10.4696i	0.230011	−	0.488680i
$460$	−0.365904	+	33.3067i	−0.0170604	+	1.55294i
$461$	−16.6079	−	12.0663i	−0.773506	−	0.561985i	0.129517	−	0.991577i	$-0.458657\pi$
$461$	−16.6079	−	12.0663i	−0.773506	−	0.561985i	−0.903023	+	0.429592i	$0.858657\pi$
$462$	−8.21075	+	0.454282i	−0.381998	+	0.0211351i
$463$	29.1467	−	21.1763i	1.35456	−	0.984148i	0.355794	−	0.934564i	$-0.384211\pi$
$463$	29.1467	−	21.1763i	1.35456	−	0.984148i	0.998770	−	0.0495837i	$-0.0157895\pi$
$464$	−22.3899	−	10.7879i	−1.03943	−	0.500814i
$465$	−3.40956	−	8.51091i	−0.158115	−	0.394684i
$466$	1.36997	−	12.1535i	0.0634628	−	0.562998i
$467$	2.17893	−	6.70606i	0.100829	−	0.310320i	−0.887900	−	0.460037i	$-0.847836\pi$
$467$	2.17893	−	6.70606i	0.100829	−	0.310320i	0.988729	+	0.149717i	$0.0478363\pi$
$468$	6.49069	+	14.3528i	0.300032	+	0.663460i
$469$	32.8526	+	10.6745i	1.51699	+	0.492901i
$470$	−1.60172	+	1.43220i	−0.0738817	+	0.0660624i
$471$	9.91620	+	18.9694i	0.456914	+	0.874063i
$472$	20.6527	+	7.23010i	0.950615	+	0.332792i
$473$	−0.134548	−	0.0977549i	−0.00618653	−	0.00449478i
$474$	−6.67181	−	4.30516i	−0.306446	−	0.197742i
$475$	−3.65820	−	32.2741i	−0.167850	−	1.48084i
$476$	−1.67103	−	18.5872i	−0.0765914	−	0.851941i
$477$	10.8896	−	36.0598i	0.498598	−	1.65106i
$478$	−6.80380	−	3.09084i	−0.311199	−	0.141372i
$479$	−3.21735	−	9.90200i	−0.147005	−	0.452434i	0.850259	−	0.526365i	$-0.176445\pi$
$479$	−3.21735	−	9.90200i	−0.147005	−	0.452434i	−0.997263	+	0.0739312i	$0.976445\pi$
$480$	21.7127	−	2.92587i	0.991042	−	0.133547i
$481$	−8.11483	+	24.9749i	−0.370004	+	1.13876i
$482$	7.07046	−	7.73463i	0.322051	−	0.352303i
$483$	−53.4745	−	7.89813i	−2.43317	−	0.359377i
$484$	13.6284	+	15.6021i	0.619474	+	0.709186i
$485$	26.1616	−	15.2468i	1.18794	−	0.692324i
$486$	−11.1691	+	19.0066i	−0.506641	+	0.862157i
$487$	−13.5454	+	9.84131i	−0.613801	+	0.445952i	−0.850751	−	0.525570i	$-0.823852\pi$
$487$	−13.5454	+	9.84131i	−0.613801	+	0.445952i	0.236950	+	0.971522i	$0.423852\pi$
$488$	0.250540	−	11.0900i	0.0113414	−	0.502020i
$489$	12.8772	−	25.9389i	0.582326	−	1.17300i
$490$	30.5455	−	13.4734i	1.37990	−	0.608667i
$491$	−0.350942	−	0.483030i	−0.0158378	−	0.0217988i	0.801025	−	0.598631i	$-0.204289\pi$
$491$	−0.350942	−	0.483030i	−0.0158378	−	0.0217988i	−0.816862	+	0.576832i	$0.804289\pi$
$492$	1.14354	−	20.0482i	0.0515547	−	0.903844i
$493$	13.8365			0.623166
$494$	11.9020	+	20.9780i	0.535495	+	0.943846i
$495$	2.80262	+	4.58606i	0.125968	+	0.206128i
$496$	8.33937	−	4.48549i	0.374449	−	0.201404i
$497$	4.91628	+	15.1308i	0.220525	+	0.678707i
$498$	−21.4221	+	8.29481i	−0.959946	+	0.371699i
$499$	−4.94119			−0.221198			−0.110599	−	0.993865i	$-0.535277\pi$
$499$	−4.94119			−0.221198			−0.110599	+	0.993865i	$0.535277\pi$
$500$	−11.2353	+	19.3331i	−0.502457	+	0.864602i
$501$	3.38496	+	20.0169i	0.151229	+	0.894288i
$502$	0.766023	+	3.74218i	0.0341893	+	0.167022i
$503$	−25.7670	+	8.37221i	−1.14889	+	0.373299i	−0.820727	−	0.571321i	$-0.806431\pi$
$503$	−25.7670	+	8.37221i	−1.14889	+	0.373299i	−0.328168	+	0.944619i	$0.606431\pi$
$504$	−0.0606673	+	35.5545i	−0.00270234	+	1.58372i
$505$	−24.3585	+	5.28134i	−1.08394	+	0.235017i
$506$	−4.16445	−	7.34011i	−0.185132	−	0.326308i
$507$	−10.4303	+	1.76381i	−0.463225	+	0.0783338i
$508$	10.9325	+	2.49640i	0.485050	+	0.110760i
$509$	−9.35150	+	6.79426i	−0.414498	+	0.301150i	−0.775420	−	0.631446i	$-0.782462\pi$
$509$	−9.35150	+	6.79426i	−0.414498	+	0.301150i	0.360922	+	0.932596i	$0.382462\pi$
$510$	−10.1829	+	6.71440i	−0.450904	+	0.297319i
$511$	−10.4103	+	14.3285i	−0.460523	+	0.633855i
$512$	5.51906	+	21.9440i	0.243910	+	0.969798i
$513$	−14.3751	+	30.5411i	−0.634674	+	1.34842i
$514$	−2.92308	+	0.598353i	−0.128932	+	0.0263922i
$515$	1.47735	+	2.53495i	0.0650999	+	0.111703i
$516$	−0.455098	+	0.556723i	−0.0200346	+	0.0245084i
$517$	0.168225	−	0.517743i	0.00739852	−	0.0227703i
$518$	−39.9912	+	43.7478i	−1.75711	+	1.92217i
$519$	−12.4461	−	1.83827i	−0.546322	−	0.0806912i
$520$	2.04105	−	16.4784i	0.0895059	−	0.722625i
$521$	−19.9258	+	6.47429i	−0.872966	+	0.283644i	−0.711034	−	0.703158i	$-0.751773\pi$
$521$	−19.9258	+	6.47429i	−0.872966	+	0.283644i	−0.161933	+	0.986802i	$0.551773\pi$
$522$	−26.2510	−	2.40518i	−1.14897	−	0.105272i
$523$	−1.60414	+	2.20791i	−0.0701442	+	0.0965452i	−0.842648	−	0.538465i	$-0.819004\pi$
$523$	−1.60414	+	2.20791i	−0.0701442	+	0.0965452i	0.772503	+	0.635011i	$0.219004\pi$
$524$	−30.3045	+	2.72444i	−1.32386	+	0.119018i
$525$	−28.6204	−	22.3085i	−1.24910	−	0.973623i
$526$	3.81695	+	3.48919i	0.166427	+	0.152136i
$527$	−3.09865	+	4.26492i	−0.134979	+	0.185783i
$528$	−4.38175	+	3.40774i	−0.190691	+	0.148303i
$529$	−10.0349	−	30.8843i	−0.436301	−	1.34280i
$530$	−29.5988	+	26.4662i	−1.28569	+	1.14962i
$531$	23.2039	−	0.484602i	1.00696	−	0.0210299i
$532$	4.87459	+	54.2209i	0.211340	+	2.35078i
$533$	−14.4740	−	4.70288i	−0.626938	−	0.203704i
$534$	33.0138	−	1.82658i	1.42865	−	0.0790438i
$535$	2.56020	−	0.555095i	0.110687	−	0.0239989i
$536$	22.3332	−	6.70276i	0.964649	−	0.289515i
$537$	−9.33558	−	9.14265i	−0.402860	−	0.394534i
$538$	−2.89533	+	25.6854i	−0.124827	+	1.10738i
$539$	−4.97179	+	6.84308i	−0.214150	+	0.294752i
$540$	20.4863	−	10.9686i	0.881590	−	0.472016i
$541$	−0.588279	−	0.809697i	−0.0252921	−	0.0348116i	0.796184	−	0.605055i	$-0.206849\pi$
$541$	−0.588279	−	0.809697i	−0.0252921	−	0.0348116i	−0.821476	+	0.570243i	$0.806849\pi$
$542$	−12.8536	+	7.29252i	−0.552108	+	0.313241i
$543$	−4.42081	−	26.1424i	−0.189715	−	1.12188i
$544$	−8.07092	−	9.67224i	−0.346038	−	0.414694i
$545$	−6.20423	−	5.54072i	−0.265760	−	0.237339i
$546$	26.0481	+	6.89834i	1.11475	+	0.295222i
$547$	35.9945	−	11.6953i	1.53901	−	0.500056i	0.587909	−	0.808927i	$-0.299951\pi$
$547$	35.9945	−	11.6953i	1.53901	−	0.500056i	0.951104	+	0.308871i	$0.0999513\pi$
$548$	21.9861	−	36.7902i	0.939198	−	1.57160i
$549$	−3.86865	−	11.1115i	−0.165110	−	0.474227i
$550$	−0.00349494	−	5.66535i	−0.000149025	−	0.241571i
$551$	−40.3628			−1.71951
$552$	−32.7098	+	16.1690i	−1.39222	+	0.688200i
$553$	−12.9179	+	4.19729i	−0.549326	+	0.178487i
$554$	22.6881	+	10.3068i	0.963927	+	0.437893i
$555$	37.5609	+	9.48233i	1.59437	+	0.402503i
$556$	−0.434823	−	0.0992906i	−0.0184406	−	0.00421086i
$557$			6.86291i			0.290791i	0.989374	+	0.145395i	$0.0464454\pi$
$557$			6.86291i			0.290791i	−0.989374	+	0.145395i	$0.953555\pi$
$558$	6.62019	−	7.55287i	0.280255	−	0.319739i
$559$	0.320322	+	0.440886i	0.0135482	+	0.0186475i
$560$	19.5777	−	31.9577i	0.827310	−	1.35046i
$561$	1.37416	−	2.76800i	0.0580170	−	0.116865i
$562$	−26.7915	−	3.02001i	−1.13013	−	0.127391i
$563$	12.0402	−	8.74768i	0.507432	−	0.368671i	−0.304417	−	0.952539i	$-0.598461\pi$
$563$	12.0402	−	8.74768i	0.507432	−	0.368671i	0.811849	+	0.583868i	$0.198461\pi$
$564$	−2.19348	−	0.853638i	−0.0923620	−	0.0359447i
$565$	0.141704	−	0.158673i	0.00596152	−	0.00667542i
$566$	−43.9772	−	4.95723i	−1.84850	−	0.208368i
$567$	13.1407	+	35.3477i	0.551856	+	1.48447i
$568$	8.54339	+	6.50695i	0.358473	+	0.273025i
$569$	21.2292	+	6.89779i	0.889974	+	0.289170i	0.718093	−	0.695947i	$-0.245015\pi$
$569$	21.2292	+	6.89779i	0.889974	+	0.289170i	0.171882	+	0.985118i	$0.445015\pi$
$570$	29.7046	−	19.5867i	1.24419	−	0.820397i
$571$	−1.01119	−	3.11212i	−0.0423170	−	0.130238i	0.927666	−	0.373411i	$-0.121812\pi$
$571$	−1.01119	−	3.11212i	−0.0423170	−	0.130238i	−0.969983	+	0.243173i	$0.921812\pi$
$572$	1.65304	+	3.86853i	0.0691170	+	0.161751i
$573$	−3.19011	−	1.58371i	−0.133269	−	0.0661603i
$574$	−25.3537	−	23.1766i	−1.05824	−	0.967372i
$575$	7.44571	−	36.4884i	0.310508	−	1.52167i
$576$	13.6310	+	19.7534i	0.567959	+	0.823057i
$577$	−11.9795	+	16.4883i	−0.498712	+	0.686417i	−0.981965	−	0.189063i	$-0.939455\pi$
$577$	−11.9795	+	16.4883i	−0.498712	+	0.686417i	0.483253	+	0.875480i	$0.339455\pi$
$578$	−15.5036	−	7.04299i	−0.644865	−	0.292950i
$579$	20.5937	−	10.7653i	0.855846	−	0.447391i
$580$	22.2993	+	16.5787i	0.925927	+	0.688392i
$581$	−12.1432	+	37.3729i	−0.503784	+	1.55049i
$582$	27.8715	+	17.9848i	1.15531	+	0.745496i
$583$	3.10869	−	9.56757i	0.128749	−	0.396248i
$584$	−0.270020	+	11.9522i	−0.0111735	+	0.494587i
$585$	−4.09034	−	17.1299i	−0.169115	−	0.708236i
$586$	0.470939	+	2.30064i	0.0194543	+	0.0950384i
$587$	−25.3372	+	18.4086i	−1.04578	+	0.759804i	−0.971405	−	0.237427i	$-0.923696\pi$
$587$	−25.3372	+	18.4086i	−1.04578	+	0.759804i	−0.0743745	+	0.997230i	$0.523696\pi$
$588$	28.3148	+	23.1462i	1.16768	+	0.954532i
$589$	9.03912	−	12.4413i	0.372450	−	0.512634i
$590$	−21.1444	−	12.3054i	−0.870502	−	0.506604i
$591$	4.02151	+	3.93840i	0.165423	+	0.162004i
$592$	−5.37846	+	39.6466i	−0.221053	+	1.62947i
$593$	−13.9441			−0.572617			−0.286308	−	0.958138i	$-0.592428\pi$
$593$	−13.9441			−0.572617			−0.286308	+	0.958138i	$0.592428\pi$
$594$	−3.08824	+	5.01265i	−0.126712	+	0.205672i
$595$	−2.09644	+	20.7593i	−0.0859456	+	0.851048i
$596$	4.17950	−	1.78592i	0.171199	−	0.0731540i
$597$	−18.2941	+	9.56321i	−0.748729	+	0.391396i
$598$	5.54565	+	27.0917i	0.226779	+	1.10786i
$599$	−6.40638			−0.261758			−0.130879	−	0.991398i	$-0.541780\pi$
$599$	−6.40638			−0.261758			−0.130879	+	0.991398i	$0.541780\pi$
$600$	−24.4560	−	1.37982i	−0.998412	−	0.0563309i
$601$	29.9936			1.22346			0.611732	−	0.791065i	$-0.290473\pi$
$601$	29.9936			1.22346			0.611732	+	0.791065i	$0.290473\pi$
$602$	0.246675	+	1.20506i	0.0100537	+	0.0491145i
$603$	19.7006	−	14.9516i	0.802269	−	0.608876i
$604$	−9.22539	−	21.5898i	−0.375376	−	0.878475i
$605$	−11.6623	−	20.0110i	−0.474139	−	0.813562i
$606$	−17.2443	−	21.1686i	−0.700501	−	0.859915i
$607$	−27.4918			−1.11586			−0.557928	−	0.829889i	$-0.688404\pi$
$607$	−27.4918			−1.11586			−0.557928	+	0.829889i	$0.688404\pi$
$608$	23.5438	+	28.2151i	0.954828	+	1.14427i
$609$	−31.5513	+	32.2171i	−1.27852	+	1.30550i
$610$	−2.62046	+	12.1221i	−0.106099	+	0.490811i
$611$	−1.04852	+	1.44316i	−0.0424184	+	0.0583839i
$612$	−11.6101	−	6.61324i	−0.469309	−	0.267324i
$613$	−14.5278	+	10.5550i	−0.586771	+	0.426314i	−0.841159	−	0.540788i	$-0.818126\pi$
$613$	−14.5278	+	10.5550i	−0.586771	+	0.426314i	0.254388	+	0.967102i	$0.418126\pi$
$614$	−4.68243	−	22.8747i	−0.188968	−	0.923146i
$615$	−5.49541	+	21.7681i	−0.221596	+	0.877774i
$616$	−0.214463	+	9.49303i	−0.00864095	+	0.382485i
$617$	7.85133	−	24.1639i	0.316083	−	0.972802i	−0.659224	−	0.751947i	$-0.729115\pi$
$617$	7.85133	−	24.1639i	0.316083	−	0.972802i	0.975307	−	0.220856i	$-0.0708849\pi$
$618$	−1.74265	+	2.70063i	−0.0700997	+	0.108635i
$619$	−6.72514	+	20.6979i	−0.270306	+	0.831917i	0.720117	+	0.693853i	$0.244088\pi$
$619$	−6.72514	+	20.6979i	−0.270306	+	0.831917i	−0.990423	+	0.138064i	$0.955912\pi$
$620$	−10.1040	+	3.16070i	−0.405786	+	0.126937i
$621$	−26.4955	+	28.2095i	−1.06323	+	1.13201i
$622$	−17.6112	−	8.00042i	−0.706144	−	0.320788i
$623$	33.2454	−	45.7583i	1.33195	−	1.83327i
$624$	17.1060	−	6.18303i	0.684786	−	0.247519i
$625$	16.4234	−	18.8487i	0.656935	−	0.753947i
$626$	9.75467	+	8.91704i	0.389875	+	0.356397i
$627$	−4.00858	+	8.07460i	−0.160087	+	0.322468i
$628$	22.7282	−	9.71185i	0.906954	−	0.387545i
$629$	−6.88321	−	21.1843i	−0.274452	−	0.844675i
$630$	7.58597	−	39.0206i	0.302232	−	1.55462i
$631$	−34.6477	−	11.2577i	−1.37930	−	0.448162i	−0.476862	−	0.878978i	$-0.658226\pi$
$631$	−34.6477	−	11.2577i	−1.37930	−	0.448162i	−0.902440	+	0.430816i	$0.858226\pi$
$632$	−5.55533	+	7.29394i	−0.220979	+	0.290137i
$633$	6.58338	−	44.5730i	0.261666	−	1.77162i
$634$	25.2651	+	2.84796i	1.00341	+	0.113107i
$635$	−11.4742	−	5.05276i	−0.455341	−	0.200513i
$636$	−40.5341	−	15.7747i	−1.60728	−	0.625508i
$637$	22.4233	−	16.2915i	0.888445	−	0.645493i
$638$	−6.99584	−	0.788591i	−0.276968	−	0.0312206i
$639$	10.9043	+	3.29293i	0.431366	+	0.130266i
$640$	−1.41818	−	25.2584i	−0.0560586	−	0.998427i
$641$	−8.63632	−	11.8869i	−0.341114	−	0.469503i	0.603652	−	0.797248i	$-0.293712\pi$
$641$	−8.63632	−	11.8869i	−0.341114	−	0.469503i	−0.944766	+	0.327744i	$0.893712\pi$
$642$	1.81246	+	2.22492i	0.0715320	+	0.0878107i
$643$			44.3656i			1.74961i	0.484476	+	0.874805i	$0.339010\pi$
$643$			44.3656i			1.74961i	−0.484476	+	0.874805i	$0.660990\pi$
$644$	−13.8951	+	60.8506i	−0.547542	+	2.39785i
$645$	0.617370	−	0.514950i	0.0243089	−	0.0202761i
$646$	−18.6266	−	8.46171i	−0.732854	−	0.332922i
$647$	−25.2829	+	8.21490i	−0.993972	+	0.322961i	−0.760454	−	0.649392i	$-0.775024\pi$
$647$	−25.2829	+	8.21490i	−0.993972	+	0.322961i	−0.233517	+	0.972353i	$0.575024\pi$
$648$	20.8773	+	14.5649i	0.820138	+	0.572165i
$649$	6.19837			0.243307
$650$	−5.72576	+	17.6591i	−0.224583	+	0.692648i
$651$	−2.86467	−	16.9402i	−0.112275	−	0.663937i
$652$	−28.7044	−	17.1539i	−1.12415	−	0.671799i
$653$	5.94933	−	1.93305i	0.232815	−	0.0756462i	−0.190286	−	0.981729i	$-0.560942\pi$
$653$	5.94933	−	1.93305i	0.232815	−	0.0756462i	0.423101	+	0.906082i	$0.360942\pi$
$654$	2.33275	−	8.80845i	0.0912178	−	0.344438i
$655$	33.8459	+	3.41803i	1.32247	+	0.133553i
$656$	−22.9769	−	3.11704i	−0.897096	−	0.121700i
$657$	4.16944	+	11.9754i	0.162665	+	0.467205i
$658$	−3.50196	+	1.98685i	−0.136521	+	0.0774556i
$659$	−2.91556	−	4.01292i	−0.113574	−	0.156321i	0.748445	−	0.663196i	$-0.230801\pi$
$659$	−2.91556	−	4.01292i	−0.113574	−	0.156321i	−0.862020	+	0.506875i	$0.830801\pi$
$660$	5.53120	−	2.81449i	0.215302	−	0.109554i
$661$	13.6928	−	18.8466i	0.532589	−	0.733046i	−0.454933	−	0.890526i	$-0.650337\pi$
$661$	13.6928	−	18.8466i	0.532589	−	0.733046i	0.987522	+	0.157479i	$0.0503368\pi$
$662$	3.64008	−	32.2923i	0.141476	−	1.25508i
$663$	−7.08528	+	7.23480i	−0.275169	+	0.280976i
$664$	7.62502	+	25.4061i	0.295908	+	0.985949i
$665$	6.11556	−	60.5573i	0.237151	−	2.34831i
$666$	9.37654	+	41.3879i	0.363334	+	1.60375i
$667$	−44.0123	−	14.3005i	−1.70416	−	0.553716i
$668$	23.3475	−	2.09899i	0.903341	−	0.0812125i
$669$	5.28740	−	35.7984i	0.204423	−	1.38405i
$670$	−25.9361	+	2.63539i	−1.00200	+	0.101814i
$671$	−0.971004	−	2.98844i	−0.0374852	−	0.115368i
$672$	40.9249	+	3.26310i	1.57871	+	0.125877i
$673$	6.55538	−	9.02270i	0.252691	−	0.347800i	−0.663760	−	0.747945i	$-0.731040\pi$
$673$	6.55538	−	9.02270i	0.252691	−	0.347800i	0.916452	+	0.400146i	$0.131040\pi$
$674$	35.3973	+	32.3577i	1.36345	+	1.24637i
$675$	−24.8106	+	7.70930i	−0.954961	+	0.296731i
$676$	1.09373	+	12.1658i	0.0420666	+	0.467915i
$677$	10.5001	−	14.4522i	0.403553	−	0.555443i	−0.558078	−	0.829788i	$-0.688461\pi$
$677$	10.5001	−	14.4522i	0.403553	−	0.555443i	0.961631	+	0.274345i	$0.0884611\pi$
$678$	0.225276	+	0.0596600i	0.00865166	+	0.00229123i
$679$	53.9648	−	17.5342i	2.07098	−	0.672901i
$680$	6.81508	+	12.3256i	0.261346	+	0.472664i
$681$	4.13791	−	28.0158i	0.158565	−	1.07357i
$682$	1.80977	−	1.97977i	0.0692996	−	0.0758093i
$683$	4.20359	−	12.9373i	0.160846	−	0.495033i	−0.837860	−	0.545885i	$-0.816194\pi$
$683$	4.20359	−	12.9373i	0.160846	−	0.495033i	0.998706	+	0.0508519i	$0.0161936\pi$
$684$	33.8679	+	19.2916i	1.29497	+	0.737632i
$685$	−31.9181	+	35.7403i	−1.21953	+	1.36557i
$686$	20.6513	−	4.22731i	0.788470	−	0.161400i
$687$	−34.1708	−	33.4647i	−1.30370	−	1.27676i
$688$	0.600027	+	0.573911i	0.0228758	+	0.0218802i
$689$	−19.3759	+	26.6687i	−0.738164	+	1.01600i
$690$	39.3300	−	10.8334i	1.49727	−	0.412421i
$691$	15.3921	−	11.1830i	0.585544	−	0.425423i	−0.255174	−	0.966895i	$-0.582133\pi$
$691$	15.3921	−	11.1830i	0.585544	−	0.425423i	0.840719	+	0.541472i	$0.182133\pi$
$692$	−3.23405	+	14.1628i	−0.122940	+	0.538391i
$693$	3.31157	+	9.51144i	0.125796	+	0.361310i
$694$	17.4109	+	30.6878i	0.660908	+	1.16489i
$695$	0.456371	+	0.200966i	0.0173111	+	0.00762308i
$696$	−5.12654	+	30.0042i	−0.194321	+	1.13730i
$697$	12.2772	−	3.98911i	0.465032	−	0.151098i
$698$	−2.81752	−	13.7642i	−0.106645	−	0.520982i
$699$	−14.7695	+	2.49759i	−0.558633	+	0.0944677i
$700$	−28.2521	+	30.9443i	−1.06783	+	1.16958i
$701$	45.7637			1.72847			0.864236	−	0.503087i	$-0.167802\pi$
$701$	45.7637			1.72847			0.864236	+	0.503087i	$0.167802\pi$
$702$	14.7000	−	12.4944i	0.554815	−	0.471571i
$703$	20.0791	+	61.7972i	0.757299	+	2.33073i
$704$	3.52946	+	5.35034i	0.133021	+	0.201648i
$705$	2.22757	+	1.40106i	0.0838951	+	0.0527670i
$706$	2.10111	+	3.70334i	0.0790762	+	0.139377i
$707$	−46.7056			−1.75655
$708$	1.52614	−	26.7559i	0.0573560	−	1.00555i
$709$	−23.5516	−	32.4159i	−0.884498	−	1.21741i	−0.975155	−	0.221524i	$-0.928897\pi$
$709$	−23.5516	−	32.4159i	−0.884498	−	1.21741i	0.0906573	−	0.995882i	$-0.471103\pi$
$710$	−8.00320	−	8.95048i	−0.300355	−	0.335905i
$711$	−2.81135	+	9.30954i	−0.105434	+	0.349135i
$712$	0.862314	−	38.1697i	0.0323166	−	1.43047i
$713$	14.2643	−	10.3637i	0.534204	−	0.388122i
$714$	−21.3143	+	8.25307i	−0.797667	+	0.308863i
$715$	−0.996636	−	4.59666i	−0.0372721	−	0.171905i
$716$	−11.3635	+	9.92601i	−0.424674	+	0.370953i
$717$	−1.33730	+	9.05423i	−0.0499424	+	0.338136i
$718$	21.1481	−	23.1346i	0.789239	−	0.863376i
$719$	−3.73582	+	11.4977i	−0.139323	+	0.428791i	−0.996237	−	0.0866671i	$-0.972378\pi$
$719$	−3.73582	+	11.4977i	−0.139323	+	0.428791i	0.856915	+	0.515458i	$0.172378\pi$
$720$	−10.7872	−	24.5690i	−0.402015	−	0.915633i
$721$	1.69899	+	5.22895i	0.0632736	+	0.194736i
$722$	29.8720	+	13.5703i	1.11172	+	0.505033i
$723$	−11.4958	−	5.70702i	−0.427534	−	0.212246i
$724$	−30.4922	+	2.74132i	−1.13323	+	0.101880i
$725$	−20.9750	−	22.9169i	−0.778993	−	0.851113i
$726$	13.7566	−	21.3189i	0.510554	−	0.791218i
$727$	11.3122	+	8.21880i	0.419547	+	0.304819i	0.777455	−	0.628938i	$-0.216510\pi$
$727$	11.3122	+	8.21880i	0.419547	+	0.304819i	−0.357909	+	0.933757i	$0.616510\pi$
$728$	10.2808	−	29.3670i	0.381033	−	1.08842i
$729$	26.1505	+	6.71953i	0.968537	+	0.248871i
$730$	2.82420	−	13.0646i	0.104528	−	0.483544i
$731$	−0.439629	−	0.142844i	−0.0162603	−	0.00528328i
$732$	−13.1390	+	3.45564i	−0.485632	+	0.127724i
$733$	4.96897	−	15.2929i	0.183533	−	0.564857i	−0.816387	−	0.577506i	$-0.804026\pi$
$733$	4.96897	−	15.2929i	0.183533	−	0.564857i	0.999920	+	0.0126483i	$0.00402618\pi$
$734$	0.210340	−	1.86599i	0.00776377	−	0.0688749i
$735$	−26.1902	−	31.3993i	−0.966040	−	1.15818i
$736$	15.6761	+	39.1078i	0.577828	+	1.44153i
$737$	5.34361	−	3.88236i	0.196834	−	0.143009i
$738$	−23.9860	+	5.43410i	−0.882938	+	0.200032i
$739$	31.0194	+	22.5369i	1.14107	+	0.829034i	0.987268	−	0.159068i	$-0.0508490\pi$
$739$	31.0194	+	22.5369i	1.14107	+	0.829034i	0.153800	+	0.988102i	$0.450849\pi$
$740$	14.2895	−	42.3885i	0.525294	−	1.55823i
$741$	20.6686	−	21.1048i	0.759280	−	0.775303i
$742$	−64.7141	+	36.7158i	−2.37573	+	1.34788i
$743$			3.34774i			0.122817i	0.998113	+	0.0614084i	$0.0195592\pi$
$743$			3.34774i			0.122817i	−0.998113	+	0.0614084i	$0.980441\pi$
$744$	−8.10030	−	8.29952i	−0.296972	−	0.304275i
$745$	−4.96616	+	1.07675i	−0.181946	+	0.0394491i
$746$	23.9665	+	10.8875i	0.877477	+	0.398621i
$747$	17.0088	+	22.4112i	0.622321	+	0.819984i
$748$	−3.06312	−	1.83054i	−0.111999	−	0.0669310i
$749$	4.90899			0.179371
$750$	26.5572	+	6.68700i	0.969731	+	0.244175i
$751$		−	36.6838i		−	1.33861i	−0.742987	−	0.669306i	$-0.766592\pi$
$751$		−	36.6838i		−	1.33861i	0.742987	−	0.669306i	$-0.233408\pi$
$752$	−1.17971	+	2.44847i	−0.0430197	+	0.0892864i
$753$	4.14595	−	2.16729i	0.151087	−	0.0789803i
$754$	21.0034	+	9.54145i	0.764899	+	0.347479i
$755$	5.56209	+	25.6534i	0.202425	+	0.933621i
$756$	41.8726	−	11.9529i	1.52289	−	0.434722i
$757$	22.7887			0.828270			0.414135	−	0.910215i	$-0.364084\pi$
$757$	22.7887			0.828270			0.414135	+	0.910215i	$0.364084\pi$
$758$	−14.4254	−	25.4258i	−0.523955	−	0.923506i
$759$	−7.23185	+	7.38446i	−0.262499	+	0.268039i
$760$	−19.8804	−	35.9551i	−0.721138	−	1.30423i
$761$	8.84665	−	12.1764i	0.320691	−	0.441393i	−0.617987	−	0.786188i	$-0.712052\pi$
$761$	8.84665	−	12.1764i	0.320691	−	0.441393i	0.938678	+	0.344795i	$0.112052\pi$
$762$	−0.758717	−	13.7132i	−0.0274854	−	0.496775i
$763$	−9.16200	−	12.6104i	−0.331687	−	0.456528i
$764$	−2.10968	+	3.53022i	−0.0763255	+	0.127719i
$765$	11.3475	+	9.71573i	0.410269	+	0.351273i
$766$	−37.5653	−	4.23447i	−1.35729	−	0.152998i
$767$	−19.3167	−	6.27637i	−0.697484	−	0.226626i
$768$	23.9644	−	13.9180i	0.864739	−	0.502221i
$769$	5.36939	−	16.5253i	0.193625	−	0.595917i	−0.806365	−	0.591418i	$-0.798568\pi$
$769$	5.36939	−	16.5253i	0.193625	−	0.595917i	0.999990	−	0.00449814i	$-0.00143181\pi$
$770$	2.24312	−	10.3766i	0.0808363	−	0.373945i
$771$	1.69290	+	3.23847i	0.0609685	+	0.116631i
$772$	−10.5435	−	24.6744i	−0.379468	−	0.888051i
$773$	−22.5200	+	30.9961i	−0.809988	+	1.11485i	0.181337	+	0.983421i	$0.441957\pi$
$773$	−22.5200	+	30.9961i	−0.809988	+	1.11485i	−0.991325	+	0.131432i	$0.958043\pi$
$774$	0.809245	+	0.347428i	0.0290877	+	0.0124880i
$775$	11.7611	−	1.33309i	0.422472	−	0.0478862i
$776$	23.2074	−	30.4705i	0.833098	−	1.09383i
$777$	65.0215	+	32.2795i	2.33263	+	1.15802i
$778$	−36.4031	−	16.5372i	−1.30511	−	0.592888i
$779$	−35.8141	+	11.6367i	−1.28317	+	0.416928i
$780$	−20.0874	+	3.17032i	−0.719244	+	0.113516i
$781$	2.89317	+	0.940049i	0.103526	+	0.0336376i
$782$	−17.3128	−	15.8262i	−0.619105	−	0.565943i
$783$	6.04671	+	31.7141i	0.216092	+	1.13337i
$784$	29.1890	−	30.5172i	1.04246	−	1.08990i
$785$	−27.0061	+	5.85539i	−0.963888	+	0.208988i
$786$	13.4558	+	34.7508i	0.479952	+	1.23952i
$787$	2.34173	+	3.22312i	0.0834737	+	0.114892i	0.848712	−	0.528856i	$-0.177379\pi$
$787$	2.34173	+	3.22312i	0.0834737	+	0.114892i	−0.765238	+	0.643747i	$0.777379\pi$
$788$	4.89508	−	4.27585i	0.174380	−	0.152321i
$789$	2.81635	−	5.67305i	0.100265	−	0.201966i
$790$	7.64150	−	6.83276i	0.271872	−	0.243099i
$791$	0.322511	−	0.234318i	0.0114672	−	0.00833138i
$792$	5.49322	+	4.00539i	0.195193	+	0.142325i
$793$			10.2964i			0.365637i
$794$	9.82477	+	17.3168i	0.348668	+	0.614551i
$795$	41.1641	+	25.8908i	1.45994	+	0.918251i
$796$	9.36614	+	21.9191i	0.331974	+	0.776904i
$797$	−13.1614	+	4.27638i	−0.466199	+	0.151477i	−0.532691	−	0.846310i	$-0.678819\pi$
$797$	−13.1614	+	4.27638i	−0.466199	+	0.151477i	0.0664921	+	0.997787i	$0.478819\pi$
$798$	62.1763	−	24.0752i	2.20102	−	0.852252i
$799$		−	1.51310i		−	0.0535297i
$800$	−3.78492	+	28.0299i	−0.133817	+	0.991006i
$801$	−13.3152	−	38.2437i	−0.470469	−	1.35127i
$802$	−10.6267	−	51.9136i	−0.375242	−	1.83313i
$803$	1.04650	+	3.22079i	0.0369302	+	0.113659i
$804$	−15.4430	−	24.0222i	−0.544631	−	0.847197i
$805$	28.1239	−	63.8661i	0.991237	−	2.25098i
$806$	−7.64467	+	4.33724i	−0.269272	+	0.152773i
$807$	31.2141	−	5.27847i	1.09879	−	0.185811i
$808$	−25.9181	+	17.9504i	−0.911795	+	0.631494i
$809$	4.63667	+	6.38183i	0.163017	+	0.224373i	0.882709	−	0.469920i	$-0.155717\pi$
$809$	4.63667	+	6.38183i	0.163017	+	0.224373i	−0.719692	+	0.694293i	$0.755717\pi$
$810$	−19.8398	−	20.4054i	−0.697100	−	0.716974i
$811$	−9.41719	−	6.84199i	−0.330682	−	0.240255i	0.410038	−	0.912069i	$-0.365515\pi$
$811$	−9.41719	−	6.84199i	−0.330682	−	0.240255i	−0.740720	+	0.671814i	$0.765515\pi$
$812$	34.2546	+	39.2154i	1.20210	+	1.37619i
$813$	12.9312	+	12.6640i	0.453517	+	0.444145i
$814$	2.27283	+	11.1032i	0.0796626	+	0.389168i
$815$	27.8852	+	24.9030i	0.976776	+	0.872316i
$816$	−8.65591	+	12.7716i	−0.303017	+	0.447095i
$817$	1.28245	+	0.416694i	0.0448673	+	0.0145783i
$818$	−1.52408	+	1.66724i	−0.0532880	+	0.0582937i
$819$	−0.689080	−	32.9948i	−0.0240784	−	1.15293i
$820$	24.5659	+	8.28139i	0.857879	+	0.289199i
$821$	−0.738889	−	2.27407i	−0.0257874	−	0.0793655i	0.937335	−	0.348431i	$-0.113285\pi$
$821$	−0.738889	−	2.27407i	−0.0257874	−	0.0793655i	−0.963122	+	0.269065i	$0.913285\pi$
$822$	−50.7423	−	13.4381i	−1.76984	−	0.468709i
$823$	26.3400	+	19.1371i	0.918153	+	0.667077i	0.943064	−	0.332612i	$-0.107930\pi$
$823$	26.3400	+	19.1371i	0.918153	+	0.667077i	−0.0249105	+	0.999690i	$0.507930\pi$
$824$	2.95246	+	2.24870i	0.102854	+	0.0783371i
$825$	−6.66765	+	1.92010i	−0.232138	+	0.0668493i
$826$	−33.8365	−	30.9310i	−1.17732	−	1.07623i
$827$	26.1570	+	19.0042i	0.909568	+	0.660840i	0.940906	−	0.338669i	$-0.109977\pi$
$827$	26.1570	+	19.0042i	0.909568	+	0.660840i	−0.0313373	+	0.999509i	$0.509977\pi$
$828$	30.0952	+	33.0353i	1.04588	+	1.14805i
$829$	−17.2543	+	5.60627i	−0.599268	+	0.194714i	−0.592914	−	0.805266i	$-0.702023\pi$
$829$	−17.2543	+	5.60627i	−0.599268	+	0.194714i	−0.00635403	+	0.999980i	$0.502023\pi$
$830$	−2.99801	−	29.5047i	−0.104062	−	1.02412i
$831$	4.45940	−	30.1925i	0.154695	−	1.04737i
$832$	−5.58158	−	20.2477i	−0.193506	−	0.701964i
$833$	−7.26502	+	22.3594i	−0.251718	+	0.774708i
$834$	0.0301769	+	0.545421i	0.00104494	+	0.0188864i
$835$	−26.0759	−	2.63335i	−0.902395	−	0.0911310i
$836$	8.93547	+	5.33989i	0.309040	+	0.184684i
$837$	−11.1296	−	5.23846i	−0.384695	−	0.181068i
$838$	11.5848	+	1.30587i	0.400191	+	0.0451107i
$839$	39.4914	+	28.6922i	1.36339	+	0.990564i	0.998221	+	0.0596244i	$0.0189903\pi$
$839$	39.4914	+	28.6922i	1.36339	+	0.990564i	0.365173	+	0.930940i	$0.381010\pi$
$840$	−44.2393	−	12.2376i	−1.52640	−	0.422236i
$841$	−7.77099	+	5.64596i	−0.267965	+	0.194688i
$842$	−35.1523	+	19.9438i	−1.21143	+	0.687309i
$843$	5.50578	+	32.5583i	0.189629	+	1.12137i
$844$	−50.7212	−	11.5820i	−1.74590	−	0.398670i
$845$	1.37217	−	13.5875i	0.0472042	−	0.467424i
$846$	−0.263020	+	2.87069i	−0.00904283	+	0.0986964i
$847$	−13.4119	−	41.2776i	−0.460838	−	1.41831i
$848$	−21.8004	+	45.2462i	−0.748628	+	1.55376i
$849$	9.03751	+	53.4431i	0.310167	+	1.83416i
$850$	−4.87521	−	14.9729i	−0.167218	−	0.513567i
$851$			74.4988i			2.55379i
$852$	4.77018	−	12.2573i	0.163424	−	0.419927i
$853$	−0.937522	−	2.88540i	−0.0321001	−	0.0987941i	0.933723	−	0.357997i	$-0.116540\pi$
$853$	−0.937522	−	2.88540i	−0.0321001	−	0.0987941i	−0.965823	+	0.259203i	$0.916540\pi$
$854$	−9.61223	+	21.1592i	−0.328924	+	0.724053i
$855$	−33.1019	−	28.3419i	−1.13206	−	0.969274i
$856$	2.72412	−	1.88668i	0.0931085	−	0.0644853i
$857$	−12.2884			−0.419762			−0.209881	−	0.977727i	$-0.567308\pi$
$857$	−12.2884			−0.419762			−0.209881	+	0.977727i	$0.567308\pi$
$858$	3.99470	−	3.25415i	0.136377	−	0.111095i
$859$	−33.9220	+	24.6458i	−1.15740	+	0.840903i	−0.989448	−	0.144891i	$-0.953717\pi$
$859$	−33.9220	+	24.6458i	−1.15740	+	0.840903i	−0.167957	+	0.985794i	$0.553717\pi$
$860$	−0.537364	−	0.756967i	−0.0183239	−	0.0258124i
$861$	−18.7073	+	37.6827i	−0.637543	+	1.28422i
$862$	−5.59891	+	49.6697i	−0.190700	+	1.69176i
$863$	−13.9473	−	19.1968i	−0.474771	−	0.653466i	0.502719	−	0.864450i	$-0.332333\pi$
$863$	−13.9473	−	19.1968i	−0.474771	−	0.653466i	−0.977490	+	0.210984i	$0.932333\pi$
$864$	18.6423	−	22.7259i	0.634223	−	0.773151i
$865$	6.54578	−	14.8647i	0.222563	−	0.505415i
$866$	2.89648	+	0.326499i	0.0984263	+	0.0110949i
$867$	−3.04727	+	20.6316i	−0.103491	+	0.700685i
$868$	−19.7588	+	1.77636i	−0.670658	+	0.0602937i
$869$	−0.802569	+	2.47005i	−0.0272253	+	0.0837909i
$870$	11.9737	−	31.8558i	0.405947	−	1.08001i
$871$	−20.5841	+	6.68818i	−0.697466	+	0.226620i
$872$	−9.93080	−	3.47658i	−0.336299	−	0.117732i
$873$	11.7444	−	38.8907i	0.397489	−	1.31625i
$874$	50.5035	+	46.1668i	1.70831	+	1.56162i
$875$	37.5609	−	27.9971i	1.26979	−	0.946476i
$876$	14.1606	−	3.72432i	0.478442	−	0.125833i
$877$	26.5376	+	19.2807i	0.896113	+	0.651064i	0.937465	−	0.348081i	$-0.113166\pi$
$877$	26.5376	+	19.2807i	0.896113	+	0.651064i	−0.0413519	+	0.999145i	$0.513166\pi$
$878$	10.4996	−	23.1126i	0.354345	−	0.780012i
$879$	2.54887	−	1.33242i	0.0859712	−	0.0449413i
$880$	−2.74327	−	6.62030i	−0.0924758	−	0.223170i
$881$	22.4221	+	7.28539i	0.755420	+	0.245451i	0.661312	−	0.750111i	$-0.270000\pi$
$881$	22.4221	+	7.28539i	0.755420	+	0.245451i	0.0941085	+	0.995562i	$0.470000\pi$
$882$	17.6701	−	41.1580i	0.594982	−	1.38586i
$883$	2.33321	+	0.758105i	0.0785187	+	0.0255123i	0.348013	−	0.937490i	$-0.386857\pi$
$883$	2.33321	+	0.758105i	0.0785187	+	0.0255123i	−0.269494	+	0.963002i	$0.586857\pi$
$884$	7.69236	+	8.80637i	0.258722	+	0.296190i
$885$	−7.33406	+	29.0512i	−0.246532	+	0.976546i
$886$	−50.7877	+	10.3962i	−1.70624	+	0.349268i
$887$	−7.05456	−	9.70977i	−0.236869	−	0.326022i	0.673990	−	0.738741i	$-0.264579\pi$
$887$	−7.05456	−	9.70977i	−0.236869	−	0.326022i	−0.910859	+	0.412719i	$0.864579\pi$
$888$	48.4880	−	7.07712i	1.62715	−	0.237492i
$889$	−19.0069	−	13.8093i	−0.637472	−	0.463150i
$890$	−9.01914	+	41.7222i	−0.302322	+	1.39853i
$891$	6.94495	+	1.94000i	0.232665	+	0.0649925i
$892$	−40.7364	−	9.30203i	−1.36395	−	0.311455i
$893$			4.41390i			0.147705i
$894$	−3.51573	−	4.31581i	−0.117584	−	0.144342i
$895$	14.5746	−	8.49401i	0.487177	−	0.283924i
$896$	7.43209	−	46.8198i	0.248289	−	1.56414i
$897$	30.0148	−	15.6902i	1.00217	−	0.523879i
$898$	−4.16634	−	20.3534i	−0.139033	−	0.679203i
$899$		−	14.7087i		−	0.490564i
$900$	6.64664	+	29.2544i	0.221555	+	0.975148i
$901$		−	27.9612i		−	0.931522i
$902$	−6.43479	+	1.31720i	−0.214255	+	0.0438579i
$903$	1.33508	−	0.697910i	0.0444287	−	0.0232250i
$904$	0.0889134	−	0.253980i	0.00295722	−	0.00844723i
$905$	34.0556	+	3.43920i	1.13205	+	0.114323i
$906$	−22.2939	+	18.1610i	−0.740665	+	0.603357i
$907$		−	33.1685i		−	1.10134i	−0.834722	−	0.550671i	$-0.814372\pi$
$907$		−	33.1685i		−	1.10134i	0.834722	−	0.550671i	$-0.185628\pi$
$908$	−31.8802	−	7.27976i	−1.05798	−	0.241587i
$909$	−19.0862	+	27.4578i	−0.633049	+	0.910716i
$910$	−17.4976	+	30.0663i	−0.580040	+	0.996688i
$911$	−20.1602	−	14.6472i	−0.667936	−	0.485284i	0.201398	−	0.979510i	$-0.435452\pi$
$911$	−20.1602	−	14.6472i	−0.667936	−	0.485284i	−0.869334	+	0.494226i	$0.835452\pi$
$912$	25.2503	−	37.2562i	0.836121	−	1.23368i
$913$	4.41654	+	6.07885i	0.146166	+	0.201181i
$914$	−9.27696	−	45.3199i	−0.306855	−	1.49905i
$915$	15.1555	−	1.01502i	0.501025	−	0.0335554i
$916$	−41.5936	+	36.3320i	−1.37429	+	1.20044i
$917$	60.6261	+	19.6986i	2.00205	+	0.650506i
$918$	−3.85816	+	15.9031i	−0.127338	+	0.524879i
$919$	−12.0532	−	3.91633i	−0.397599	−	0.129188i	0.103391	−	0.994641i	$-0.467031\pi$
$919$	−12.0532	−	3.91633i	−0.397599	−	0.129188i	−0.500990	+	0.865453i	$0.667031\pi$
$920$	−8.93911	−	46.2497i	−0.294714	−	1.52481i
$921$	−25.3428	+	13.2479i	−0.835073	+	0.436533i
$922$	26.4321	+	12.0076i	0.870493	+	0.395449i
$923$	−8.06444	−	5.85916i	−0.265444	−	0.192857i
$924$	11.2470	−	2.95803i	0.370000	−	0.0973121i
$925$	−24.6525	+	43.5141i	−0.810568	+	1.43074i
$926$	−34.3766	+	37.6057i	−1.12968	+	1.23580i
$927$	3.76833	+	1.13798i	0.123768	+	0.0373763i
$928$	34.0804	+	8.59645i	1.11875	+	0.282192i
$929$	−18.8165	+	6.11385i	−0.617350	+	0.200589i	−0.600963	−	0.799277i	$-0.705216\pi$
$929$	−18.8165	+	6.11385i	−0.617350	+	0.200589i	−0.0163864	+	0.999866i	$0.505216\pi$
$930$	7.13766	+	10.8247i	0.234053	+	0.354957i
$931$	21.1929	−	65.2251i	0.694570	−	2.13767i
$932$	1.54874	+	17.2270i	0.0507308	+	0.564288i
$933$	−3.46151	+	23.4363i	−0.113325	+	0.767268i
$934$	−1.11698	+	9.90911i	−0.0365488	+	0.324236i
$935$	2.97570	+	2.65747i	0.0973158	+	0.0869085i
$936$	−13.0633	−	18.0448i	−0.426988	−	0.589813i
$937$	25.1858	+	34.6652i	0.822783	+	1.13246i	0.989224	+	0.146412i	$0.0467725\pi$
$937$	25.1858	+	34.6652i	0.822783	+	1.13246i	−0.166441	+	0.986051i	$0.553227\pi$
$938$	−48.5441	−	5.47203i	−1.58502	−	0.178668i
$939$	7.19751	−	14.4982i	0.234882	−	0.473129i
$940$	1.81297	−	2.43855i	0.0591326	−	0.0795367i
$941$	−17.2682	+	12.5461i	−0.562928	+	0.408991i	−0.832529	−	0.553981i	$-0.813108\pi$
$941$	−17.2682	+	12.5461i	−0.562928	+	0.408991i	0.269601	+	0.962972i	$0.413108\pi$
$942$	−19.1186	−	23.4695i	−0.622918	−	0.764677i
$943$	−43.1752			−1.40598
$944$	−30.6644	−	4.15994i	−0.998043	−	0.135394i
$945$	−48.4977	+	4.26688i	−1.57763	+	0.138802i
$946$	0.214138	+	0.0972790i	0.00696224	+	0.00316281i
$947$	−9.03776	−	27.8154i	−0.293688	−	0.903878i	−0.983659	−	0.180041i	$-0.942377\pi$
$947$	−9.03776	−	27.8154i	−0.293688	−	0.903878i	0.689971	−	0.723837i	$-0.257623\pi$
$948$	10.4647	+	4.07255i	0.339876	+	0.132270i
$949$		−	11.0970i		−	0.360224i
$950$	14.2216	+	43.6778i	0.461409	+	1.41710i
$951$	−5.19210	−	30.7034i	−0.168365	−	0.995626i
$952$	7.58665	+	25.2783i	0.245885	+	0.819274i
$953$	−11.7879	−	36.2794i	−0.381847	−	1.17520i	−0.938742	−	0.344621i	$-0.888007\pi$
$953$	−11.7879	−	36.2794i	−0.381847	−	1.17520i	0.556895	−	0.830583i	$-0.311993\pi$
$954$	−4.86046	+	53.0486i	−0.157363	+	1.71751i
$955$	3.06271	−	3.42947i	0.0991070	−	0.110975i
$956$	10.3031	+	2.35269i	0.333228	+	0.0760916i
$957$	1.43768	+	8.50168i	0.0464735	+	0.274820i
$958$	7.26588	+	12.8066i	0.234750	+	0.413762i
$959$	−72.6440	+	52.7790i	−2.34580	+	1.70432i
$960$	−29.2527	+	10.2116i	−0.944128	+	0.329579i
$961$	−20.5458	−	14.9274i	−0.662767	−	0.481528i
$962$	4.15989	−	36.9037i	0.134120	−	1.18982i
$963$	2.00605	−	2.88595i	0.0646441	−	0.0929983i
$964$	−7.60241	+	12.7215i	−0.244857	+	0.409730i
$965$	6.35678	+	29.3186i	0.204632	+	0.943799i
$966$	76.3280	−	4.22305i	2.45581	−	0.135874i
$967$	0.305991	−	0.941743i	0.00984000	−	0.0302844i	−0.946016	−	0.324120i	$-0.894932\pi$
$967$	0.305991	−	0.941743i	0.00984000	−	0.0302844i	0.955856	+	0.293836i	$0.0949318\pi$
$968$	−23.3068	−	17.7513i	−0.749110	−	0.570549i
$969$	−3.66110	+	24.7875i	−0.117611	+	0.796291i
$970$	−31.9224	+	28.5439i	−1.02497	+	0.916490i
$971$	−8.46446	+	2.75027i	−0.271637	+	0.0882603i	−0.441668	−	0.897178i	$-0.645613\pi$
$971$	−8.46446	+	2.75027i	−0.271637	+	0.0882603i	0.170031	+	0.985439i	$0.445613\pi$
$972$	10.0842	−	29.5010i	0.323451	−	0.946245i
$973$	0.755972	+	0.549246i	0.0242354	+	0.0176080i
$974$	15.9759	−	17.4766i	0.511900	−	0.559985i
$975$	22.7234	+	0.767730i	0.727732	+	0.0245870i
$976$	2.79809	+	15.4360i	0.0895646	+	0.494096i
$977$	13.2769	+	9.64621i	0.424765	+	0.308609i	0.779552	−	0.626337i	$-0.215447\pi$
$977$	13.2769	+	9.64621i	0.424765	+	0.308609i	−0.354788	+	0.934947i	$0.615447\pi$
$978$	−10.4847	+	39.5900i	−0.335262	+	1.26595i
$979$	−3.34202	−	10.2857i	−0.106811	−	0.328731i
$980$	−38.4991	+	27.3302i	−1.22981	+	0.873030i
$981$	−11.1576	+	0.233020i	−0.356234	+	0.00743976i
$982$	0.623216	+	0.569701i	0.0198876	+	0.0181799i
$983$	0.418413	+	0.135951i	0.0133453	+	0.00433615i	0.315682	−	0.948865i	$-0.397767\pi$
$983$	0.418413	+	0.135951i	0.0133453	+	0.00433615i	−0.302337	+	0.953201i	$0.597767\pi$
$984$	4.10148	+	28.1008i	0.130751	+	0.895821i
$985$	−6.27835	+	3.65898i	−0.200045	+	0.116585i
$986$	−19.1703	+	3.92415i	−0.610506	+	0.124970i
$987$	3.52312	+	3.45031i	0.112142	+	0.109824i
$988$	−22.4395	−	25.6892i	−0.713897	−	0.817283i
$989$	1.25077	+	0.908741i	0.0397723	+	0.0288963i
$990$	−5.18363	−	5.55907i	−0.164746	−	0.176679i
$991$	−2.26102	−	3.11203i	−0.0718237	−	0.0988569i	0.771594	−	0.636116i	$-0.219460\pi$
$991$	−2.26102	−	3.11203i	−0.0718237	−	0.0988569i	−0.843417	+	0.537259i	$0.819460\pi$
$992$	−10.2819	+	8.57968i	−0.326452	+	0.272405i
$993$	−39.2432	+	6.63623i	−1.24534	+	0.210594i
$994$	−11.1026	−	19.5691i	−0.352154	−	0.620695i
$995$	−5.64695	−	26.0447i	−0.179020	−	0.825674i
$996$	27.3275	−	17.5678i	0.865904	−	0.556657i
$997$	15.0344	+	46.2711i	0.476144	+	1.46542i	0.844409	+	0.535699i	$0.179952\pi$
$997$	15.0344	+	46.2711i	0.476144	+	1.46542i	−0.368265	+	0.929721i	$0.620048\pi$
$998$	6.84594	−	1.40136i	0.216705	−	0.0443593i
$999$	45.5477	−	25.0345i	1.44107	−	0.792057i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.6	✓	464
3.2	odd	2	inner	600.2.bk.a.59.111	yes	464
8.3	odd	2	inner	600.2.bk.a.59.54	yes	464
24.11	even	2	inner	600.2.bk.a.59.63	yes	464
25.14	even	10	inner	600.2.bk.a.539.63	yes	464
75.14	odd	10	inner	600.2.bk.a.539.54	yes	464
200.139	odd	10	inner	600.2.bk.a.539.111	yes	464
600.539	even	10	inner	600.2.bk.a.539.6	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.6	✓	464	1.1	even	1	trivial
600.2.bk.a.59.54	yes	464	8.3	odd	2	inner
600.2.bk.a.59.63	yes	464	24.11	even	2	inner
600.2.bk.a.59.111	yes	464	3.2	odd	2	inner
600.2.bk.a.539.6	yes	464	600.539	even	10	inner
600.2.bk.a.539.54	yes	464	75.14	odd	10	inner
600.2.bk.a.539.63	yes	464	25.14	even	10	inner
600.2.bk.a.539.111	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)

\(f(q)\)	\(=\)	\(q+(-1.38548 + 0.283608i) q^{2} +(0.802404 + 1.53497i) q^{3} +(1.83913 - 0.785869i) q^{4} +(-2.18529 + 0.473809i) q^{5} +(-1.54705 - 1.89911i) q^{6} -4.19014 q^{7} +(-2.32521 + 1.61040i) q^{8} +(-1.71229 + 2.46334i) q^{9} +O(q^{10})\)	\(q+(-1.38548 + 0.283608i) q^{2} +(0.802404 + 1.53497i) q^{3} +(1.83913 - 0.785869i) q^{4} +(-2.18529 + 0.473809i) q^{5} +(-1.54705 - 1.89911i) q^{6} -4.19014 q^{7} +(-2.32521 + 1.61040i) q^{8} +(-1.71229 + 2.46334i) q^{9} +(2.89331 - 1.27622i) q^{10} +(-0.470935 + 0.648186i) q^{11} +(2.68202 + 2.19244i) q^{12} +(2.12397 - 1.54315i) q^{13} +(5.80537 - 1.18836i) q^{14} +(-2.48077 - 2.97418i) q^{15} +(2.76482 - 2.89063i) q^{16} +(-0.688153 + 2.11792i) q^{17} +(1.67373 - 3.89854i) q^{18} +(2.00742 - 6.17821i) q^{19} +(-3.64669 + 2.58875i) q^{20} +(-3.36219 - 6.43176i) q^{21} +(0.468642 - 1.03161i) q^{22} +(4.37786 - 6.02561i) q^{23} +(-4.33769 - 2.27695i) q^{24} +(4.55101 - 2.07082i) q^{25} +(-2.50508 + 2.74039i) q^{26} +(-5.15512 - 0.651734i) q^{27} +(-7.70622 + 3.29290i) q^{28} +(-1.92002 - 5.90923i) q^{29} +(4.28057 + 3.41712i) q^{30} +(2.25142 + 0.731532i) q^{31} +(-3.01081 + 4.78905i) q^{32} +(-1.37283 - 0.202766i) q^{33} +(0.352767 - 3.12951i) q^{34} +(9.15668 - 1.98533i) q^{35} +(-1.21328 + 5.87605i) q^{36} +(-8.09215 + 5.87929i) q^{37} +(-1.02906 + 9.12914i) q^{38} +(4.07299 + 2.02201i) q^{39} +(4.31824 - 4.62091i) q^{40} +(-3.40729 - 4.68974i) q^{41} +(6.48235 + 7.95756i) q^{42} +0.207576i q^{43} +(-0.356722 + 1.56219i) q^{44} +(2.57471 - 6.19442i) q^{45} +(-4.35655 + 9.58999i) q^{46} +(-0.646207 + 0.209965i) q^{47} +(6.65555 + 1.92447i) q^{48} +10.5573 q^{49} +(-5.71805 + 4.15980i) q^{50} +(-3.80312 + 0.643128i) q^{51} +(2.69355 - 4.50723i) q^{52} +(-11.9415 + 3.88003i) q^{53} +(7.32717 - 0.559066i) q^{54} +(0.722014 - 1.63961i) q^{55} +(9.74296 - 6.74781i) q^{56} +(11.0942 - 1.87608i) q^{57} +(4.33607 + 7.64261i) q^{58} +(-4.54730 - 6.25882i) q^{59} +(-6.89979 - 3.52035i) q^{60} +(-2.30523 + 3.17288i) q^{61} +(-3.32678 - 0.375004i) q^{62} +(7.17475 - 10.3217i) q^{63} +(2.81321 - 7.48905i) q^{64} +(-3.91034 + 4.37860i) q^{65} +(1.95954 - 0.108417i) q^{66} +(-7.84045 - 2.54752i) q^{67} +(0.398800 + 4.43593i) q^{68} +(12.7620 + 1.88493i) q^{69} +(-12.1234 + 5.34755i) q^{70} +(-1.17330 - 3.61104i) q^{71} +(0.0144786 - 8.48527i) q^{72} +(2.48447 - 3.41958i) q^{73} +(9.54413 - 10.4407i) q^{74} +(6.83041 + 5.32405i) q^{75} +(-1.16335 - 12.9401i) q^{76} +(1.97328 - 2.71599i) q^{77} +(-6.21652 - 1.64633i) q^{78} +(3.08294 - 1.00171i) q^{79} +(-4.67233 + 7.62688i) q^{80} +(-3.13609 - 8.43593i) q^{81} +(6.05080 + 5.53122i) q^{82} +(2.89804 - 8.91924i) q^{83} +(-11.2380 - 9.18662i) q^{84} +(0.500326 - 4.95432i) q^{85} +(-0.0588703 - 0.287594i) q^{86} +(7.52988 - 7.68878i) q^{87} +(0.0511827 - 2.26556i) q^{88} +(-7.93419 + 10.9205i) q^{89} +(-1.81043 + 9.31248i) q^{90} +(-8.89973 + 6.46604i) q^{91} +(3.31613 - 14.5223i) q^{92} +(0.683669 + 4.04286i) q^{93} +(0.835762 - 0.474173i) q^{94} +(-1.45951 + 14.4523i) q^{95} +(-9.76696 - 0.778757i) q^{96} +(-12.8790 + 4.18464i) q^{97} +(-14.6269 + 2.99413i) q^{98} +(-0.790324 - 2.26996i) 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

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Database

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