LMFDB - Embedded newform 720.2.cp.c.43.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [720,2,Mod(43,720)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(720, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 8, 9]))

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

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

chi := DirichletCharacter("720.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 720 = 2^{4} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	720.cp (of order $12$, 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:	$5.74922894553$
Analytic rank:	$0$
Dimension:	$552$
Relative dimension:	$138$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			43.17
Character	$\chi$	$=$	720.43
Dual form			720.2.cp.c.67.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.33849 - 0.456551i) q^{2} +(0.908977 + 1.47437i) q^{3} +(1.58312 + 1.22218i) q^{4} +(0.280705 - 2.21838i) q^{5} +(-0.543534 - 2.38842i) q^{6} +(-0.102332 - 0.381909i) q^{7} +(-1.56101 - 2.35865i) q^{8} +(-1.34752 + 2.68033i) q^{9} +(-1.38852 + 2.84113i) q^{10} +(-0.523657 - 1.95432i) q^{11} +(-0.362921 + 3.44504i) q^{12} +(1.45033 + 2.51204i) q^{13} +(-0.0373900 + 0.557902i) q^{14} +(3.52586 - 1.60259i) q^{15} +(1.01255 + 3.86972i) q^{16} +(3.83237 - 3.83237i) q^{17} +(3.02736 - 2.97239i) q^{18} +(4.66515 - 4.66515i) q^{19} +(3.15565 - 3.16889i) q^{20} +(0.470057 - 0.498022i) q^{21} +(-0.191333 + 2.85491i) q^{22} +(-0.581173 + 2.16897i) q^{23} +(2.05860 - 4.44546i) q^{24} +(-4.84241 - 1.24542i) q^{25} +(-0.794376 - 4.02449i) q^{26} +(-5.17666 + 0.449615i) q^{27} +(0.304757 - 0.729678i) q^{28} +(5.72951 - 1.53522i) q^{29} +(-5.45100 + 0.535321i) q^{30} +(-0.512008 + 0.295608i) q^{31} +(0.411428 - 5.64187i) q^{32} +(2.40539 - 2.54849i) q^{33} +(-6.87927 + 3.37993i) q^{34} +(-0.875945 + 0.119808i) q^{35} +(-5.40914 + 2.59638i) q^{36} +3.39729 q^{37} +(-8.37415 + 4.11439i) q^{38} +(-2.38536 + 4.42170i) q^{39} +(-5.67057 + 2.80082i) q^{40} +(6.75282 - 3.89874i) q^{41} +(-0.856540 + 0.451994i) q^{42} +(-0.886989 + 1.53631i) q^{43} +(1.55951 - 3.73392i) q^{44} +(5.56774 + 3.74170i) q^{45} +(1.76814 - 2.63781i) q^{46} +(-6.59923 + 1.76826i) q^{47} +(-4.78500 + 5.01036i) q^{48} +(5.92680 - 3.42184i) q^{49} +(5.91293 + 3.87779i) q^{50} +(9.13386 + 2.16679i) q^{51} +(-0.774118 + 5.74942i) q^{52} +9.09761i q^{53} +(7.13420 + 1.76160i) q^{54} +(-4.48240 + 0.613083i) q^{55} +(-0.741050 + 0.837531i) q^{56} +(11.1187 + 2.63764i) q^{57} +(-8.36981 - 0.560936i) q^{58} +(2.61465 - 9.75800i) q^{59} +(7.54053 + 1.77214i) q^{60} +(-0.00704976 - 0.0263101i) q^{61} +(0.820279 - 0.161911i) q^{62} +(1.16154 + 0.240347i) q^{63} +(-3.12649 + 7.36376i) q^{64} +(5.97977 - 2.51223i) q^{65} +(-4.38311 + 2.31295i) q^{66} +(2.60049 + 4.50418i) q^{67} +(10.7510 - 1.38327i) q^{68} +(-3.72613 + 1.11468i) q^{69} +(1.22714 + 0.239552i) q^{70} +12.9070 q^{71} +(8.42547 - 1.00569i) q^{72} +(3.53130 - 3.53130i) q^{73} +(-4.54725 - 1.55104i) q^{74} +(-2.56543 - 8.27155i) q^{75} +(13.0872 - 1.68385i) q^{76} +(-0.692784 + 0.399979i) q^{77} +(5.21151 - 4.82937i) q^{78} +(-6.33394 + 10.9707i) q^{79} +(8.86873 - 1.15998i) q^{80} +(-5.36837 - 7.22362i) q^{81} +(-10.8186 + 2.13543i) q^{82} +(-12.1672 - 7.02474i) q^{83} +(1.35283 - 0.213936i) q^{84} +(-7.42588 - 9.57742i) q^{85} +(1.88863 - 1.65138i) q^{86} +(7.47147 + 7.05193i) q^{87} +(-3.79212 + 4.28583i) q^{88} -12.1720 q^{89} +(-5.74409 - 7.55019i) q^{90} +(0.810955 - 0.810955i) q^{91} +(-3.57093 + 2.72344i) q^{92} +(-0.901239 - 0.486188i) q^{93} +(9.64031 + 0.646084i) q^{94} +(-9.03954 - 11.6586i) q^{95} +(8.69218 - 4.52173i) q^{96} +(-1.04642 - 3.90528i) q^{97} +(-9.49521 + 1.87422i) q^{98} +(5.94385 + 1.22991i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 552 q - 4 q^{2} - 4 q^{5} - 2 q^{6} - 10 q^{7} + 8 q^{8} - 24 q^{9} - 24 q^{10} - 2 q^{11} - 22 q^{12} + 6 q^{14} + 4 q^{16} + 22 q^{18} - 24 q^{19} - 10 q^{20} - 26 q^{21} - 12 q^{22} - 2 q^{23} + 24 q^{24}+ \cdots + 38 q^{99}+O(q^{100}) $ 552 * q - 4 * q^2 - 4 * q^5 - 2 * q^6 - 10 * q^7 + 8 * q^8 - 24 * q^9 - 24 * q^10 - 2 * q^11 - 22 * q^12 + 6 * q^14 + 4 * q^16 + 22 * q^18 - 24 * q^19 - 10 * q^20 - 26 * q^21 - 12 * q^22 - 2 * q^23 + 24 * q^24 + 6 * q^25 - 4 * q^26 - 24 * q^28 - 26 * q^29 - 12 * q^30 - 14 * q^32 - 2 * q^33 + 20 * q^34 + 8 * q^36 - 64 * q^37 - 46 * q^38 + 4 * q^40 + 28 * q^42 - 12 * q^43 + 32 * q^44 - 4 * q^46 - 2 * q^47 - 50 * q^48 - 4 * q^50 - 8 * q^51 - 10 * q^52 + 26 * q^54 + 36 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 - 30 * q^59 - 72 * q^60 - 14 * q^61 - 32 * q^62 - 18 * q^63 - 24 * q^64 + 18 * q^65 + 14 * q^66 + 12 * q^67 - 50 * q^68 - 6 * q^69 - 18 * q^70 - 32 * q^71 + 62 * q^72 + 48 * q^73 - 64 * q^74 + 22 * q^75 - 28 * q^76 + 2 * q^78 + 40 * q^79 - 172 * q^80 - 88 * q^81 - 20 * q^82 + 60 * q^84 + 2 * q^85 + 6 * q^86 + 14 * q^87 + 6 * q^88 - 86 * q^90 - 28 * q^91 + 16 * q^92 - 8 * q^93 + 30 * q^94 + 6 * q^95 - 40 * q^96 - 18 * q^97 + 68 * q^98 + 38 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/720\mathbb{Z}\right)^\times$.

$n$	$181$	$271$	$577$	$641$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.33849	−	0.456551i	−0.946457	−	0.322830i
$2$	−1.33849	−	0.456551i	−0.946457	−	0.322830i
$3$	0.908977	+	1.47437i	0.524798	+	0.851227i
$3$	0.908977	+	1.47437i	0.524798	+	0.851227i
$4$	1.58312	+	1.22218i	0.791561	+	0.611090i
$5$	0.280705	−	2.21838i	0.125535	−	0.992089i
$5$	0.280705	−	2.21838i	0.125535	−	0.992089i
$6$	−0.543534	−	2.38842i	−0.221897	−	0.975070i
$7$	−0.102332	−	0.381909i	−0.0386780	−	0.144348i	0.943887	−	0.330270i	$-0.107140\pi$
$7$	−0.102332	−	0.381909i	−0.0386780	−	0.144348i	−0.982565	+	0.185921i	$0.940473\pi$
$8$	−1.56101	−	2.35865i	−0.551900	−	0.833910i
$9$	−1.34752	+	2.68033i	−0.449174	+	0.893444i
$10$	−1.38852	+	2.84113i	−0.439090	+	0.898443i
$11$	−0.523657	−	1.95432i	−0.157889	−	0.589248i	−0.998841	−	0.0481386i	$-0.984671\pi$
$11$	−0.523657	−	1.95432i	−0.157889	−	0.589248i	0.840952	−	0.541110i	$-0.181996\pi$
$12$	−0.362921	+	3.44504i	−0.104766	+	0.994497i
$13$	1.45033	+	2.51204i	0.402248	+	0.696714i	0.993997	−	0.109408i	$-0.0348956\pi$
$13$	1.45033	+	2.51204i	0.402248	+	0.696714i	−0.591749	+	0.806122i	$0.701562\pi$
$14$	−0.0373900	+	0.557902i	−0.00999291	+	0.149106i
$15$	3.52586	−	1.60259i	0.910374	−	0.413787i
$16$	1.01255	+	3.86972i	0.253139	+	0.967430i
$17$	3.83237	−	3.83237i	0.929487	−	0.929487i	−0.0681861	−	0.997673i	$-0.521721\pi$
$17$	3.83237	−	3.83237i	0.929487	−	0.929487i	0.997673	+	0.0681861i	$0.0217212\pi$
$18$	3.02736	−	2.97239i	0.713555	−	0.700599i
$19$	4.66515	−	4.66515i	1.07026	−	1.07026i	0.0729219	−	0.997338i	$-0.476768\pi$
$19$	4.66515	−	4.66515i	1.07026	−	1.07026i	0.997338	−	0.0729219i	$-0.0232324\pi$
$20$	3.15565	−	3.16889i	0.705624	−	0.708586i
$21$	0.470057	−	0.498022i	0.102575	−	0.108677i
$22$	−0.191333	+	2.85491i	−0.0407924	+	0.608669i
$23$	−0.581173	+	2.16897i	−0.121183	+	0.452261i	−0.999675	−	0.0254963i	$-0.991883\pi$
$23$	−0.581173	+	2.16897i	−0.121183	+	0.452261i	0.878492	+	0.477757i	$0.158550\pi$
$24$	2.05860	−	4.44546i	0.420210	−	0.907427i
$25$	−4.84241	−	1.24542i	−0.968482	−	0.249084i
$26$	−0.794376	−	4.02449i	−0.155790	−	0.789267i
$27$	−5.17666	+	0.449615i	−0.996249	+	0.0865285i
$28$	0.304757	−	0.729678i	0.0575937	−	0.137896i
$29$	5.72951	−	1.53522i	1.06394	−	0.285083i	0.315941	−	0.948779i	$-0.397680\pi$
$29$	5.72951	−	1.53522i	1.06394	−	0.285083i	0.748003	+	0.663696i	$0.231013\pi$
$30$	−5.45100	+	0.535321i	−0.995212	+	0.0977358i
$31$	−0.512008	+	0.295608i	−0.0919594	+	0.0530928i	−0.545274	−	0.838258i	$-0.683575\pi$
$31$	−0.512008	+	0.295608i	−0.0919594	+	0.0530928i	0.453315	+	0.891350i	$0.350241\pi$
$32$	0.411428	−	5.64187i	0.0727309	−	0.997352i
$33$	2.40539	−	2.54849i	0.418724	−	0.443635i
$34$	−6.87927	+	3.37993i	−1.17979	+	0.579653i
$35$	−0.875945	+	0.119808i	−0.148062	+	0.0202512i
$36$	−5.40914	+	2.59638i	−0.901524	+	0.432730i
$37$	3.39729			0.558512			0.279256	−	0.960217i	$-0.409912\pi$
$37$	3.39729			0.558512			0.279256	+	0.960217i	$0.409912\pi$
$38$	−8.37415	+	4.11439i	−1.35847	+	0.667442i
$39$	−2.38536	+	4.42170i	−0.381963	+	0.708038i
$40$	−5.67057	+	2.80082i	−0.896596	+	0.442849i
$41$	6.75282	−	3.89874i	1.05461	−	0.608881i	0.130676	−	0.991425i	$-0.458285\pi$
$41$	6.75282	−	3.89874i	1.05461	−	0.608881i	0.923937	+	0.382544i	$0.124952\pi$
$42$	−0.856540	+	0.451994i	−0.132167	+	0.0697441i
$43$	−0.886989	+	1.53631i	−0.135265	+	0.234285i	−0.925698	−	0.378262i	$-0.876522\pi$
$43$	−0.886989	+	1.53631i	−0.135265	+	0.234285i	0.790434	+	0.612547i	$0.209855\pi$
$44$	1.55951	−	3.73392i	0.235105	−	0.562910i
$45$	5.56774	+	3.74170i	0.829989	+	0.557780i
$46$	1.76814	−	2.63781i	0.260698	−	0.388924i
$47$	−6.59923	+	1.76826i	−0.962596	+	0.257927i	−0.705699	−	0.708512i	$-0.749367\pi$
$47$	−6.59923	+	1.76826i	−0.962596	+	0.257927i	−0.256897	+	0.966439i	$0.582700\pi$
$48$	−4.78500	+	5.01036i	−0.690656	+	0.723184i
$49$	5.92680	−	3.42184i	0.846685	−	0.488834i
$50$	5.91293	+	3.87779i	0.836214	+	0.548403i
$51$	9.13386	+	2.16679i	1.27900	+	0.303411i
$52$	−0.774118	+	5.74942i	−0.107351	+	0.797301i
$53$			9.09761i			1.24965i	0.780764	+	0.624826i	$0.214830\pi$
$53$			9.09761i			1.24965i	−0.780764	+	0.624826i	$0.785170\pi$
$54$	7.13420	+	1.76160i	0.970841	+	0.239724i
$55$	−4.48240	+	0.613083i	−0.604407	+	0.0826681i
$56$	−0.741050	+	0.837531i	−0.0990270	+	0.111920i
$57$	11.1187	+	2.63764i	1.47270	+	0.349364i
$58$	−8.36981	−	0.560936i	−1.09901	−	0.0736546i
$59$	2.61465	−	9.75800i	0.340398	−	1.27038i	−0.557499	−	0.830178i	$-0.688239\pi$
$59$	2.61465	−	9.75800i	0.340398	−	1.27038i	0.897897	−	0.440205i	$-0.145094\pi$
$60$	7.54053	+	1.77214i	0.973478	+	0.228782i
$61$	−0.00704976	−	0.0263101i	−0.000902629	−	0.00336866i	0.965473	−	0.260503i	$-0.0838884\pi$
$61$	−0.00704976	−	0.0263101i	−0.000902629	−	0.00336866i	−0.966376	+	0.257134i	$0.917222\pi$
$62$	0.820279	−	0.161911i	0.104176	−	0.0205628i
$63$	1.16154	+	0.240347i	0.146340	+	0.0302809i
$64$	−3.12649	+	7.36376i	−0.390812	+	0.920471i
$65$	5.97977	−	2.51223i	0.741699	−	0.311604i
$66$	−4.38311	+	2.31295i	−0.539523	+	0.284705i
$67$	2.60049	+	4.50418i	0.317700	+	0.550273i	0.980008	−	0.198959i	$-0.0637561\pi$
$67$	2.60049	+	4.50418i	0.317700	+	0.550273i	−0.662308	+	0.749232i	$0.730423\pi$
$68$	10.7510	−	1.38327i	1.30375	−	0.167746i
$69$	−3.72613	+	1.11468i	−0.448573	+	0.134191i
$70$	1.22714	+	0.239552i	0.146672	+	0.0286319i
$71$	12.9070			1.53178			0.765891	−	0.642971i	$-0.222298\pi$
$71$	12.9070			1.53178			0.765891	+	0.642971i	$0.222298\pi$
$72$	8.42547	−	1.00569i	0.992952	−	0.118521i
$73$	3.53130	−	3.53130i	0.413307	−	0.413307i	−0.469582	−	0.882889i	$-0.655595\pi$
$73$	3.53130	−	3.53130i	0.413307	−	0.413307i	0.882889	+	0.469582i	$0.155595\pi$
$74$	−4.54725	−	1.55104i	−0.528607	−	0.180304i
$75$	−2.56543	−	8.27155i	−0.296230	−	0.955117i
$76$	13.0872	−	1.68385i	1.50120	−	0.193151i
$77$	−0.692784	+	0.399979i	−0.0789501	+	0.0455818i
$78$	5.21151	−	4.82937i	0.590087	−	0.546819i
$79$	−6.33394	+	10.9707i	−0.712624	+	1.23430i	0.251244	+	0.967924i	$0.419160\pi$
$79$	−6.33394	+	10.9707i	−0.712624	+	1.23430i	−0.963869	+	0.266378i	$0.914173\pi$
$80$	8.86873	−	1.15998i	0.991555	−	0.129689i
$81$	−5.36837	−	7.22362i	−0.596485	−	0.802624i
$82$	−10.8186	+	2.13543i	−1.19471	+	0.235819i
$83$	−12.1672	−	7.02474i	−1.33552	−	0.771066i	−0.349384	−	0.936979i	$-0.613609\pi$
$83$	−12.1672	−	7.02474i	−1.33552	−	0.771066i	−0.986140	+	0.165914i	$0.946943\pi$
$84$	1.35283	−	0.213936i	0.147606	−	0.0233423i
$85$	−7.42588	−	9.57742i	−0.805450	−	1.03882i
$86$	1.88863	−	1.65138i	0.203656	−	0.178073i
$87$	7.47147	+	7.05193i	0.801026	+	0.756047i
$88$	−3.79212	+	4.28583i	−0.404241	+	0.456871i
$89$	−12.1720			−1.29023			−0.645116	−	0.764085i	$-0.723191\pi$
$89$	−12.1720			−1.29023			−0.645116	+	0.764085i	$0.723191\pi$
$90$	−5.74409	−	7.55019i	−0.605481	−	0.795860i
$91$	0.810955	−	0.810955i	0.0850112	−	0.0850112i
$92$	−3.57093	+	2.72344i	−0.372296	+	0.283938i
$93$	−0.901239	−	0.486188i	−0.0934541	−	0.0504153i
$94$	9.64031	+	0.646084i	0.994322	+	0.0666385i
$95$	−9.03954	−	11.6586i	−0.927438	−	1.19615i
$96$	8.69218	−	4.52173i	0.887141	−	0.461498i
$97$	−1.04642	−	3.90528i	−0.106247	−	0.396521i	0.892236	−	0.451569i	$-0.149135\pi$
$97$	−1.04642	−	3.90528i	−0.106247	−	0.396521i	−0.998484	+	0.0550480i	$0.982469\pi$
$98$	−9.49521	+	1.87422i	−0.959161	+	0.189325i
$99$	5.94385	+	1.22991i	0.597380	+	0.123610i
$100$	−6.14400	−	7.88995i	−0.614400	−	0.788995i
$101$	12.3520	−	3.30970i	1.22907	−	0.329327i	0.414851	−	0.909889i	$-0.363834\pi$
$101$	12.3520	−	3.30970i	1.22907	−	0.329327i	0.814216	+	0.580562i	$0.197167\pi$
$102$	−11.2364	−	7.07030i	−1.11256	−	0.700064i
$103$	−0.0834090	+	0.311287i	−0.00821854	+	0.0306720i	−0.969913	−	0.243450i	$-0.921721\pi$
$103$	−0.0834090	+	0.311287i	−0.00821854	+	0.0306720i	0.961695	+	0.274122i	$0.0883873\pi$
$104$	3.66105	−	7.34213i	0.358996	−	0.719955i
$105$	−0.972854	−	1.18256i	−0.0949408	−	0.115406i
$106$	4.15352	−	12.1771i	0.403425	−	1.18274i
$107$			10.7338i			1.03768i	0.854872	+	0.518839i	$0.173636\pi$
$107$			10.7338i			1.03768i	−0.854872	+	0.518839i	$0.826364\pi$
$108$	−8.74480	−	5.61502i	−0.841469	−	0.540305i
$109$	5.61785	+	5.61785i	0.538092	+	0.538092i	0.922968	−	0.384876i	$-0.125756\pi$
$109$	5.61785	+	5.61785i	0.538092	+	0.538092i	−0.384876	+	0.922968i	$0.625756\pi$
$110$	6.27957	+	1.22584i	0.598733	+	0.116879i
$111$	3.08806	+	5.00886i	0.293106	+	0.475420i
$112$	1.37426	−	0.782701i	0.129856	−	0.0739583i
$113$	1.82843	−	6.82378i	0.172004	−	0.641927i	−0.825039	−	0.565076i	$-0.808847\pi$
$113$	1.82843	−	6.82378i	0.172004	−	0.641927i	0.997043	−	0.0768510i	$-0.0244866\pi$
$114$	−13.6780	−	8.60670i	−1.28107	−	0.806091i
$115$	4.64845	+	1.89810i	0.433470	+	0.176999i
$116$	10.9468	+	4.57205i	1.01639	+	0.424505i
$117$	−8.68744	+	0.502327i	−0.803154	+	0.0464402i
$118$	−7.95471	+	11.8673i	−0.732290	+	1.09247i
$119$	−1.85579	−	1.07144i	−0.170120	−	0.0982190i
$120$	−9.28386	−	5.81463i	−0.847497	−	0.530800i
$121$	5.98115	−	3.45322i	0.543741	−	0.313929i
$122$	−0.00257583	+	0.0384344i	−0.000233205	+	0.00347969i
$123$	11.8863	+	6.41228i	1.07175	+	0.578175i
$124$	−1.17186	−	0.157782i	−0.105236	−	0.0141693i
$125$	−4.12211	+	10.3927i	−0.368693	+	0.929551i
$126$	−1.44498	−	0.852004i	−0.128729	−	0.0759025i
$127$	2.29232	+	2.29232i	0.203410	+	0.203410i	0.801459	−	0.598049i	$-0.204057\pi$
$127$	2.29232	+	2.29232i	0.203410	+	0.203410i	−0.598049	+	0.801459i	$0.704057\pi$
$128$	7.54672	−	8.42894i	0.667042	−	0.745020i
$129$	−3.07134	+	0.0887217i	−0.270416	+	0.00781151i
$130$	−9.15083	+	0.632532i	−0.802581	+	0.0554767i
$131$	−4.67547	+	17.4491i	−0.408497	+	1.52453i	0.389015	+	0.921231i	$0.372815\pi$
$131$	−4.67547	+	17.4491i	−0.408497	+	1.52453i	−0.797513	+	0.603302i	$0.793851\pi$
$132$	6.92274	−	1.09476i	0.602547	−	0.0952864i
$133$	−2.25906	−	1.30427i	−0.195885	−	0.113094i
$134$	−1.42435	−	7.21606i	−0.123045	−	0.623373i
$135$	−0.455700	+	11.6100i	−0.0392204	+	0.999231i
$136$	−15.0216	−	3.05687i	−1.28809	−	0.262124i
$137$	2.61982	−	0.701979i	0.223826	−	0.0599741i	−0.145163	−	0.989408i	$-0.546371\pi$
$137$	2.61982	−	0.701979i	0.223826	−	0.0599741i	0.368989	+	0.929434i	$0.379704\pi$
$138$	5.49630	+	0.209180i	0.467876	+	0.0178066i
$139$	0.571074	−	2.13128i	0.0484378	−	0.180772i	−0.937469	−	0.348070i	$-0.886837\pi$
$139$	0.571074	−	2.13128i	0.0484378	−	0.180772i	0.985907	+	0.167297i	$0.0535039\pi$
$140$	−1.53315	−	0.880891i	−0.129575	−	0.0744489i
$141$	−8.60561	−	8.12238i	−0.724723	−	0.684028i
$142$	−17.2759	−	5.89271i	−1.44976	−	0.494505i
$143$	4.14984	−	4.14984i	0.347027	−	0.347027i
$144$	−11.7366	−	2.50055i	−0.978048	−	0.208379i
$145$	−1.79739	−	13.1412i	−0.149265	−	1.09132i
$146$	−6.33883	+	3.11440i	−0.524605	+	0.257749i
$147$	10.4324	+	5.62791i	0.860447	+	0.464182i
$148$	5.37833	+	4.15210i	0.442096	+	0.341301i
$149$	−22.2718	−	5.96772i	−1.82458	−	0.488895i	−0.827244	−	0.561843i	$-0.810093\pi$
$149$	−22.2718	−	5.96772i	−1.82458	−	0.488895i	−0.997336	+	0.0729479i	$0.976759\pi$
$150$	−0.342581	+	12.2427i	−0.0279716	+	0.999609i
$151$	1.05430	−	1.82609i	0.0857974	−	0.148605i	−0.819933	−	0.572459i	$-0.805990\pi$
$151$	1.05430	−	1.82609i	0.0857974	−	0.148605i	0.905731	+	0.423854i	$0.139323\pi$
$152$	−18.2858	−	3.72113i	−1.48318	−	0.301823i
$153$	5.10782	+	15.4362i	0.412943	+	1.24795i
$154$	1.10990	−	0.219078i	0.0894380	−	0.0176538i
$155$	0.512047	+	1.21881i	0.0411286	+	0.0978969i
$156$	−9.18042	+	4.08476i	−0.735022	+	0.327042i
$157$	−10.2481	+	5.91677i	−0.817891	+	0.472210i	−0.849689	−	0.527285i	$-0.823210\pi$
$157$	−10.2481	+	5.91677i	−0.817891	+	0.472210i	0.0317974	+	0.999494i	$0.489877\pi$
$158$	13.4866	−	11.7924i	1.07294	−	0.938156i
$159$	−13.4132	+	8.26951i	−1.06374	+	0.655815i
$160$	−12.4003	−	2.49641i	−0.980331	−	0.197358i
$161$	0.887821			0.0699701
$162$	3.88757	+	12.1197i	0.305436	+	0.952213i
$163$		−	0.268578i		−	0.0210366i	−0.999945	−	0.0105183i	$-0.996652\pi$
$163$		−	0.268578i		−	0.0210366i	0.999945	−	0.0105183i	$-0.00334814\pi$
$164$	15.4555	+	2.08097i	1.20687	+	0.162497i
$165$	−4.97831	−	6.05144i	−0.387561	−	0.471104i
$166$	13.0786	+	14.9575i	1.01509	+	1.16093i
$167$	−5.40385	−	1.44796i	−0.418162	−	0.112046i	0.0436020	−	0.999049i	$-0.486117\pi$
$167$	−5.40385	−	1.44796i	−0.418162	−	0.112046i	−0.461764	+	0.887003i	$0.652783\pi$
$168$	−1.90843	−	0.331285i	−0.147238	−	0.0255592i
$169$	2.29311	−	3.97179i	0.176393	−	0.305522i
$170$	5.56691	+	16.2096i	0.426962	+	1.24322i
$171$	6.21776	+	18.7906i	0.475484	+	1.43695i
$172$	−3.28186	+	1.34811i	−0.250239	+	0.102792i
$173$	−12.8770	+	22.3037i	−0.979023	+	1.69572i	−0.313060	+	0.949733i	$0.601354\pi$
$173$	−12.8770	+	22.3037i	−0.979023	+	1.69572i	−0.665963	+	0.745985i	$0.731979\pi$
$174$	−6.78094	−	12.8501i	−0.514062	−	0.974161i
$175$	0.0198966	+	1.97681i	0.00150404	+	0.149433i
$176$	7.03242	−	4.00526i	0.530089	−	0.301908i
$177$	16.7635	−	5.01484i	1.26002	−	0.376938i
$178$	16.2922	+	5.55715i	1.22115	+	0.416526i
$179$	−7.62429	+	7.62429i	−0.569866	+	0.569866i	−0.932091	−	0.362225i	$-0.882017\pi$
$179$	−7.62429	+	7.62429i	−0.569866	+	0.569866i	0.362225	+	0.932091i	$0.382017\pi$
$180$	4.24138	+	12.7283i	0.316134	+	0.948715i
$181$	−13.4722	−	13.4722i	−1.00138	−	1.00138i	−0.999999	−	0.00138217i	$-0.999560\pi$
$181$	−13.4722	−	13.4722i	−1.00138	−	1.00138i	−0.00138217	−	0.999999i	$-0.500440\pi$
$182$	−1.45570	+	0.715215i	−0.107904	+	0.0530153i
$183$	0.0323827	−	0.0343092i	0.00239379	−	0.00253621i
$184$	6.02306	−	2.01499i	0.444026	−	0.148547i
$185$	0.953639	−	7.53648i	0.0701129	−	0.554093i
$186$	0.984331	+	1.06222i	0.0721747	+	0.0778857i
$187$	−9.49651	−	5.48281i	−0.694454	−	0.400943i
$188$	−12.6085	−	5.26607i	−0.919570	−	0.384068i
$189$	0.701452	+	1.93101i	0.0510231	+	0.140460i
$190$	6.77661	+	19.7320i	0.491627	+	1.43151i
$191$	−9.58670	−	5.53489i	−0.693670	−	0.400490i	0.111316	−	0.993785i	$-0.464494\pi$
$191$	−9.58670	−	5.53489i	−0.693670	−	0.400490i	−0.804985	+	0.593295i	$0.797827\pi$
$192$	−13.6988	+	2.08389i	−0.988627	+	0.150392i
$193$	−3.94384	+	14.7186i	−0.283884	+	1.05947i	0.665767	+	0.746159i	$0.268104\pi$
$193$	−3.94384	+	14.7186i	−0.283884	+	1.05947i	−0.949651	+	0.313309i	$0.898562\pi$
$194$	−0.382338	+	5.70493i	−0.0274503	+	0.409590i
$195$	9.13942	+	6.53282i	0.654487	+	0.467825i
$196$	13.5649	+	1.82642i	0.968924	+	0.130459i
$197$	−0.153254			−0.0109189			−0.00545946	−	0.999985i	$-0.501738\pi$
$197$	−0.153254			−0.0109189			−0.00545946	+	0.999985i	$0.501738\pi$
$198$	−7.39429	−	4.35990i	−0.525489	−	0.309844i
$199$			1.51310i			0.107261i	0.998561	+	0.0536305i	$0.0170793\pi$
$199$			1.51310i			0.107261i	−0.998561	+	0.0536305i	$0.982921\pi$
$200$	4.62153	+	13.3657i	0.326792	+	0.945096i
$201$	−4.27703	+	7.92827i	−0.301679	+	0.559217i
$202$	−18.0441	−	1.20929i	−1.26958	−	0.0850857i
$203$	−1.17263	−	2.03105i	−0.0823024	−	0.142552i
$204$	11.8118	+	14.5935i	0.826993	+	1.02175i
$205$	−6.75333	−	16.0747i	−0.471673	−	1.12271i
$206$	0.253761	−	0.378574i	0.0176803	−	0.0263765i
$207$	−5.03041	−	4.48047i	−0.349637	−	0.311414i
$208$	−8.25235	+	8.15593i	−0.572197	+	0.565512i
$209$	−11.5601	−	6.67424i	−0.799630	−	0.461667i
$210$	0.762258	+	2.02701i	0.0526008	+	0.139877i
$211$	−2.76742	+	10.3282i	−0.190517	+	0.711019i	0.802865	+	0.596161i	$0.203308\pi$
$211$	−2.76742	+	10.3282i	−0.190517	+	0.711019i	−0.993382	+	0.114858i	$0.963359\pi$
$212$	−11.1189	+	14.4026i	−0.763650	+	0.989176i
$213$	11.7322	+	19.0297i	0.803876	+	1.30389i
$214$	4.90054	−	14.3672i	0.334994	−	0.982118i
$215$	3.15913	+	2.39893i	0.215451	+	0.163605i
$216$	9.14131	+	11.5081i	0.621987	+	0.783027i
$217$	0.165290	+	0.165290i	0.0112206	+	0.0112206i
$218$	−4.95461	−	10.0843i	−0.335569	−	0.682994i
$219$	8.41630	+	1.99656i	0.568721	+	0.134915i
$220$	−7.84549	−	4.50772i	−0.528943	−	0.303910i
$221$	15.1852	+	4.06887i	1.02147	+	0.273702i
$222$	−1.84655	−	8.11418i	−0.123932	−	0.544588i
$223$	−5.04787	−	18.8389i	−0.338030	−	1.26155i	−0.900547	−	0.434759i	$-0.856833\pi$
$223$	−5.04787	−	18.8389i	−0.338030	−	1.26155i	0.562517	−	0.826786i	$-0.309833\pi$
$224$	−2.19679	+	0.420218i	−0.146779	+	0.0280770i
$225$	9.86340	−	11.3010i	0.657560	−	0.753402i
$226$	−5.56274	+	8.29881i	−0.370028	+	0.552028i
$227$	−14.9129	+	25.8298i	−0.989801	+	1.71439i	−0.371530	+	0.928421i	$0.621167\pi$
$227$	−14.9129	+	25.8298i	−0.989801	+	1.71439i	−0.618271	+	0.785965i	$0.712167\pi$
$228$	14.3785	+	17.7647i	0.952243	+	1.17650i
$229$	1.39013	+	0.372484i	0.0918623	+	0.0246144i	0.304457	−	0.952526i	$-0.401525\pi$
$229$	1.39013	+	0.372484i	0.0918623	+	0.0246144i	−0.212595	+	0.977140i	$0.568192\pi$
$230$	−5.35533	−	4.66285i	−0.353120	−	0.307459i
$231$	−1.21944	−	0.657847i	−0.0802333	−	0.0432832i
$232$	−12.5649	−	11.1174i	−0.824925	−	0.729896i
$233$	−4.21002	+	4.21002i	−0.275808	+	0.275808i	−0.831433	−	0.555625i	$-0.812479\pi$
$233$	−4.21002	+	4.21002i	−0.275808	+	0.275808i	0.555625	+	0.831433i	$0.312479\pi$
$234$	11.8574	+	3.29390i	0.775143	+	0.215329i
$235$	2.07023	+	15.1359i	0.135047	+	0.987360i
$236$	16.0653	−	12.2525i	1.04576	−	0.797572i
$237$	−21.9323	+	0.633557i	−1.42465	+	0.0411540i
$238$	1.99480	+	2.28138i	0.129303	+	0.147880i
$239$	−14.8311	−	25.6881i	−0.959341	−	1.66163i	−0.724106	−	0.689689i	$-0.757747\pi$
$239$	−14.8311	−	25.6881i	−0.959341	−	1.66163i	−0.235236	−	0.971938i	$-0.575586\pi$
$240$	9.77171	+	12.0214i	0.630761	+	0.775977i
$241$	3.07609	−	5.32794i	0.198148	−	0.343203i	−0.749780	−	0.661687i	$-0.769841\pi$
$241$	3.07609	−	5.32794i	0.198148	−	0.343203i	0.947928	+	0.318485i	$0.103174\pi$
$242$	−9.58229	+	1.89141i	−0.615973	+	0.121584i
$243$	5.77055	−	14.4810i	0.370181	−	0.928960i
$244$	0.0209950	−	0.0502681i	0.00134407	−	0.00321809i
$245$	−5.92725	−	14.1084i	−0.378678	−	0.901353i
$246$	−12.9822	−	14.0095i	−0.827717	−	0.893213i
$247$	18.4850	+	4.95305i	1.17617	+	0.315155i
$248$	1.49649	+	0.746203i	0.0950270	+	0.0473839i
$249$	−0.702655	−	24.3243i	−0.0445289	−	1.54149i
$250$	10.2622	−	12.0286i	0.649039	−	0.760755i
$251$	−3.76254	+	3.76254i	−0.237489	+	0.237489i	−0.815810	−	0.578320i	$-0.803708\pi$
$251$	−3.76254	+	3.76254i	−0.237489	+	0.237489i	0.578320	+	0.815810i	$0.303708\pi$
$252$	1.54511	+	1.80011i	0.0973329	+	0.113396i
$253$	4.54318			0.285627
$254$	−2.02169	−	4.11481i	−0.126852	−	0.258186i
$255$	7.37068	−	19.6541i	0.461570	−	1.23079i
$256$	−13.9495	+	7.83660i	−0.871842	+	0.489788i
$257$	−10.0786	−	2.70056i	−0.628688	−	0.168457i	−0.0696140	−	0.997574i	$-0.522177\pi$
$257$	−10.0786	−	2.70056i	−0.628688	−	0.168457i	−0.559074	+	0.829117i	$0.688843\pi$
$258$	4.15147	+	1.28347i	0.258459	+	0.0799053i
$259$	−0.347653	−	1.29746i	−0.0216021	−	0.0806201i
$260$	12.5371	+	3.33118i	0.777518	+	0.206591i
$261$	−3.60575	+	17.4257i	−0.223191	+	1.07863i
$262$	14.2245	−	21.2209i	0.878791	−	1.31103i
$263$	−9.14789	+	2.45117i	−0.564083	+	0.151146i	−0.529582	−	0.848259i	$-0.677651\pi$
$263$	−9.14789	+	2.45117i	−0.564083	+	0.151146i	−0.0345015	+	0.999405i	$0.510984\pi$
$264$	−9.76584	−	1.69526i	−0.601046	−	0.104336i
$265$	20.1819	+	2.55375i	1.23977	+	0.156875i
$266$	2.42827	+	2.77713i	0.148887	+	0.170277i
$267$	−11.0641	−	17.9460i	−0.677111	−	1.09828i
$268$	−1.38802	+	10.3089i	−0.0847869	+	0.629718i
$269$	8.48235	+	8.48235i	0.517178	+	0.517178i	0.916716	−	0.399539i	$-0.130830\pi$
$269$	8.48235	+	8.48235i	0.517178	+	0.517178i	−0.399539	+	0.916716i	$0.630830\pi$
$270$	5.91051	−	15.3319i	0.359702	−	0.933067i
$271$			22.7058i			1.37928i	0.724153	+	0.689640i	$0.242231\pi$
$271$			22.7058i			1.37928i	−0.724153	+	0.689640i	$0.757769\pi$
$272$	18.7107	+	10.9497i	1.13450	+	0.663924i
$273$	1.93279	+	0.458507i	0.116978	+	0.0277501i
$274$	−3.82710	−	0.256488i	−0.231204	−	0.0154950i
$275$	0.101815	+	10.1158i	0.00613970	+	0.610004i
$276$	−7.26125	−	2.78933i	−0.437076	−	0.167898i
$277$	6.22588	−	10.7835i	0.374077	−	0.647920i	−0.616112	−	0.787659i	$-0.711293\pi$
$277$	6.22588	−	10.7835i	0.374077	−	0.647920i	0.990188	+	0.139739i	$0.0446263\pi$
$278$	−1.73741	+	2.59197i	−0.104203	+	0.155456i
$279$	−0.102385	−	1.77069i	−0.00612965	−	0.106008i
$280$	1.64994	+	1.87903i	0.0986030	+	0.112293i
$281$	−18.3830	−	10.6135i	−1.09664	−	0.633146i	−0.161304	−	0.986905i	$-0.551570\pi$
$281$	−18.3830	−	10.6135i	−1.09664	−	0.633146i	−0.935337	+	0.353759i	$0.884903\pi$
$282$	7.81025	+	14.8006i	0.465094	+	0.881366i
$283$	−7.52296	−	13.0301i	−0.447194	−	0.774562i	0.551009	−	0.834500i	$-0.314243\pi$
$283$	−7.52296	−	13.0301i	−0.447194	−	0.774562i	−0.998202	+	0.0599377i	$0.980910\pi$
$284$	20.4334	+	15.7747i	1.21250	+	0.936056i
$285$	8.97235	−	23.9250i	0.531476	−	1.41720i
$286$	−7.44914	+	3.65992i	−0.440477	+	0.216415i
$287$	−2.18000	−	2.18000i	−0.128681	−	0.128681i
$288$	14.5677	+	8.70532i	0.858409	+	0.512966i
$289$		−	12.3741i		−	0.727890i
$290$	−3.59382	+	18.4100i	−0.211036	+	1.08107i
$291$	4.80665	−	5.09261i	0.281771	−	0.298534i
$292$	9.90635	−	1.27460i	0.579725	−	0.0745901i
$293$	17.3480	−	10.0159i	1.01348	−	0.585135i	0.101274	−	0.994859i	$-0.467708\pi$
$293$	17.3480	−	10.0159i	1.01348	−	0.585135i	0.912210	+	0.409723i	$0.134375\pi$
$294$	−11.3942	−	12.2958i	−0.664524	−	0.717107i
$295$	−20.9130	−	8.53940i	−1.21760	−	0.497183i
$296$	−5.30321	−	8.01304i	−0.308243	−	0.465748i
$297$	3.58949	+	9.88139i	0.208283	+	0.573376i
$298$	27.0861	+	18.1560i	1.56906	+	1.05175i
$299$	−6.29141	+	1.68578i	−0.363842	+	0.0974911i
$300$	6.04794	−	16.2303i	0.349178	−	0.937056i
$301$	0.677498	+	0.181535i	0.0390504	+	0.0104635i
$302$	−2.24487	+	1.96287i	−0.129178	+	0.112951i
$303$	16.1074	+	15.2029i	0.925344	+	0.873384i
$304$	22.7766	+	13.3291i	1.30633	+	0.764477i
$305$	−0.0603446	+	0.00825366i	−0.00345532	+	0.000472603i
$306$	0.210647	−	22.9933i	0.0120419	−	1.31444i
$307$	6.93560			0.395836			0.197918	−	0.980219i	$-0.436582\pi$
$307$	6.93560			0.395836			0.197918	+	0.980219i	$0.436582\pi$
$308$	−1.58561	−	0.213491i	−0.0903484	−	0.0121648i
$309$	−0.534768	+	0.159977i	−0.0304219	+	0.00910076i
$310$	−0.128924	−	1.86514i	−0.00732238	−	0.105933i
$311$	−9.77539	−	16.9315i	−0.554311	−	0.960096i	−0.997957	−	0.0638932i	$-0.979648\pi$
$311$	−9.77539	−	16.9315i	−0.554311	−	0.960096i	0.443645	−	0.896202i	$-0.353685\pi$
$312$	14.1528	−	1.27609i	0.801246	−	0.0722441i
$313$	−5.63263	−	21.0213i	−0.318375	−	1.18819i	−0.920806	−	0.390021i	$-0.872468\pi$
$313$	−5.63263	−	21.0213i	−0.318375	−	1.18819i	0.602431	−	0.798171i	$-0.294199\pi$
$314$	16.4184	−	3.24075i	0.926542	−	0.182886i
$315$	0.859231	−	2.50927i	0.0484122	−	0.141381i
$316$	−23.4356	+	9.62677i	−1.31835	+	0.541548i
$317$	18.0777	+	10.4371i	1.01534	+	0.586208i	0.912752	−	0.408515i	$-0.133953\pi$
$317$	18.0777	+	10.4371i	1.01534	+	0.586208i	0.102591	+	0.994724i	$0.467287\pi$
$318$	21.7289	−	4.94486i	1.21850	−	0.277294i
$319$	−6.00060	−	10.3933i	−0.335969	−	0.581916i
$320$	15.4580	+	9.00280i	0.864128	+	0.503272i
$321$	−15.8256	+	9.75680i	−0.883300	+	0.544572i
$322$	−1.18834	−	0.405335i	−0.0662237	−	0.0225885i
$323$		−	35.7572i		−	1.98958i
$324$	0.329777	−	17.9970i	0.0183210	−	0.999832i
$325$	−3.89452	−	13.9706i	−0.216029	−	0.774948i
$326$	−0.122619	+	0.359489i	−0.00679126	+	0.0199103i
$327$	−3.17628	+	13.3893i	−0.175649	+	0.740428i
$328$	−19.7370	−	9.84159i	−1.08979	−	0.543411i
$329$	1.35063	+	2.33936i	0.0744625	+	0.128973i
$330$	3.90064	+	10.3727i	0.214723	+	0.570996i
$331$	8.63808	+	32.2378i	0.474792	+	1.77195i	0.622186	+	0.782870i	$0.286245\pi$
$331$	8.63808	+	32.2378i	0.474792	+	1.77195i	−0.147394	+	0.989078i	$0.547088\pi$
$332$	−10.6767	−	25.9915i	−0.585959	−	1.42647i
$333$	−4.57793	+	9.10588i	−0.250869	+	0.498999i
$334$	6.57194	+	4.40521i	0.359601	+	0.241042i
$335$	10.7219	−	4.50452i	0.585802	−	0.246108i
$336$	2.40316	+	1.31472i	0.131103	+	0.0717236i
$337$	24.6355	+	6.60108i	1.34198	+	0.359583i	0.857170	−	0.515034i	$-0.172221\pi$
$337$	24.6355	+	6.60108i	1.34198	+	0.359583i	0.484814	+	0.874617i	$0.338887\pi$
$338$	−4.88263	+	4.26928i	−0.265580	+	0.232218i
$339$	11.7228	−	3.50688i	0.636693	−	0.190468i
$340$	−0.0507599	−	24.2380i	−0.00275284	−	1.31449i
$341$	0.845828	+	0.845828i	0.0458042	+	0.0458042i
$342$	0.256421	−	27.9897i	0.0138657	−	1.51351i
$343$	−3.87037	−	3.87037i	−0.208980	−	0.208980i
$344$	5.00822	−	0.306095i	0.270025	−	0.0165036i
$345$	1.42683	+	8.57886i	0.0768181	+	0.461870i
$346$	27.4186	−	23.9743i	1.47403	−	1.28887i
$347$	−25.8435	+	14.9208i	−1.38735	+	0.800989i	−0.993016	−	0.117977i	$-0.962359\pi$
$347$	−25.8435	+	14.9208i	−1.38735	+	0.800989i	−0.394337	+	0.918966i	$0.629026\pi$
$348$	3.20953	+	20.2956i	0.172049	+	1.08796i
$349$	2.13542	−	0.572185i	0.114307	−	0.0306284i	−0.201212	−	0.979548i	$-0.564488\pi$
$349$	2.13542	−	0.572185i	0.114307	−	0.0306284i	0.315519	+	0.948919i	$0.397821\pi$
$350$	0.875882	−	2.65503i	0.0468178	−	0.141917i
$351$	−8.63730	−	12.3519i	−0.461025	−	0.659295i
$352$	−11.2414	+	2.15035i	−0.599171	+	0.114614i
$353$	−10.2293	+	2.74093i	−0.544450	+	0.145885i	−0.520553	−	0.853830i	$-0.674274\pi$
$353$	−10.2293	+	2.74093i	−0.544450	+	0.145885i	−0.0238971	+	0.999714i	$0.507607\pi$
$354$	−24.7274	−	0.941083i	−1.31425	−	0.0500180i
$355$	3.62307	−	28.6327i	0.192293	−	1.51966i
$356$	−19.2698	−	14.8764i	−1.02130	−	0.788448i
$357$	−0.107172	−	3.71004i	−0.00567213	−	0.196356i
$358$	13.6859	−	6.72418i	0.723324	−	0.355384i
$359$		−	3.00671i		−	0.158688i	−0.996847	−	0.0793442i	$-0.974717\pi$
$359$		−	3.00671i		−	0.158688i	0.996847	−	0.0793442i	$-0.0252826\pi$
$360$	0.134081	−	18.9732i	0.00706671	−	0.999975i
$361$		−	24.5273i		−	1.29091i
$362$	11.8817	+	24.1832i	0.624488	+	1.27104i
$363$	10.5280	+	5.67952i	0.552579	+	0.298097i
$364$	2.27497	−	0.292709i	0.119241	−	0.0153421i
$365$	−6.84250	−	8.82501i	−0.358153	−	0.461922i
$366$	−0.0590078	+	0.0311382i	−0.00308439	+	0.00162762i
$367$	−0.289401	+	0.0775448i	−0.0151066	+	0.00404781i	−0.266364	−	0.963872i	$-0.585822\pi$
$367$	−0.289401	+	0.0775448i	−0.0151066	+	0.00404781i	0.251258	+	0.967920i	$0.419156\pi$
$368$	−8.98176	−	0.0527796i	−0.468207	−	0.00275132i
$369$	1.35035	+	23.3534i	0.0702963	+	1.21573i
$370$	−4.71723	+	9.65214i	−0.245237	+	0.501791i
$371$	3.47446	−	0.930979i	0.180385	−	0.0483340i
$372$	−0.832563	−	1.87117i	−0.0431664	−	0.0970157i
$373$	28.2281	−	16.2975i	1.46160	−	0.843853i	0.462512	−	0.886613i	$-0.346948\pi$
$373$	28.2281	−	16.2975i	1.46160	−	0.843853i	0.999085	+	0.0427598i	$0.0136150\pi$
$374$	10.2078	+	11.6743i	0.527834	+	0.603666i
$375$	−19.0696	+	3.36922i	−0.984748	+	0.173986i
$376$	14.4722	+	12.8050i	0.746345	+	0.660369i
$377$	12.1662	+	12.1662i	0.626590	+	0.626590i
$378$	−0.0572858	−	2.90488i	−0.00294646	−	0.149411i
$379$	14.1538	+	14.1538i	0.727032	+	0.727032i	0.970027	−	0.242996i	$-0.0781301\pi$
$379$	14.1538	+	14.1538i	0.727032	+	0.727032i	−0.242996	+	0.970027i	$0.578130\pi$
$380$	−0.0617901	−	29.5050i	−0.00316976	−	1.51357i
$381$	−1.29606	+	5.46338i	−0.0663989	+	0.279897i
$382$	10.3048	+	11.7852i	0.527238	+	0.602984i
$383$	5.23554	+	1.40286i	0.267524	+	0.0716828i	0.390087	−	0.920778i	$-0.372445\pi$
$383$	5.23554	+	1.40286i	0.267524	+	0.0716828i	−0.122563	+	0.992461i	$0.539111\pi$
$384$	19.2872	+	3.46494i	0.984243	+	0.176819i
$385$	0.692837	+	1.64913i	0.0353102	+	0.0840476i
$386$	11.9986	−	17.9002i	0.610712	−	0.911095i
$387$	−2.92258	−	4.44764i	−0.148563	−	0.226086i
$388$	3.11635	−	7.46144i	0.158208	−	0.378797i
$389$	5.93570	+	22.1523i	0.300952	+	1.12317i	0.936374	+	0.351003i	$0.114159\pi$
$389$	5.93570	+	22.1523i	0.300952	+	1.12317i	−0.635423	+	0.772165i	$0.719174\pi$
$390$	−9.25048	−	12.9167i	−0.468416	−	0.654064i
$391$	6.08501	+	10.5396i	0.307732	+	0.533008i
$392$	−17.3227	−	8.63774i	−0.874929	−	0.436272i
$393$	−29.9763	+	8.96745i	−1.51210	+	0.452348i
$394$	0.205130	+	0.0699684i	0.0103343	+	0.00352496i
$395$	22.5592	+	17.1306i	1.13508	+	0.861935i
$396$	7.90668	+	9.21155i	0.397326	+	0.462898i
$397$			17.3432i			0.870431i	0.900326	+	0.435215i	$0.143328\pi$
$397$			17.3432i			0.870431i	−0.900326	+	0.435215i	$0.856672\pi$
$398$	0.690808	−	2.02527i	0.0346271	−	0.101518i
$399$	−0.130460	−	4.51624i	−0.00653119	−	0.226095i
$400$	−0.0837687	−	19.9998i	−0.00418844	−	0.999991i
$401$	12.1955	+	21.1231i	0.609012	+	1.05484i	0.991404	+	0.130839i	$0.0417672\pi$
$401$	12.1955	+	21.1231i	0.609012	+	1.05484i	−0.382392	+	0.924000i	$0.624899\pi$
$402$	9.34443	−	8.65924i	0.466058	−	0.431884i
$403$	−1.48516	−	0.857456i	−0.0739809	−	0.0427129i
$404$	23.5997	+	9.85666i	1.17413	+	0.490387i
$405$	−17.5316	+	9.88136i	−0.871155	+	0.491009i
$406$	0.642275	+	3.25391i	0.0318756	+	0.161489i
$407$	−1.77902	−	6.63938i	−0.0881826	−	0.329102i
$408$	−9.14734	−	24.9260i	−0.452861	−	1.23402i
$409$	−5.73493	−	9.93318i	−0.283574	−	0.491164i	0.688689	−	0.725057i	$-0.258187\pi$
$409$	−5.73493	−	9.93318i	−0.283574	−	0.491164i	−0.972262	+	0.233893i	$0.924853\pi$
$410$	1.70036	+	24.5991i	0.0839749	+	1.21486i
$411$	3.41633	+	3.22450i	0.168515	+	0.159053i
$412$	−0.512495	+	0.390864i	−0.0252488	+	0.0192565i
$413$	−3.99423			−0.196543
$414$	4.68760	+	8.29371i	0.230383	+	0.407613i
$415$	−18.9989	+	25.0196i	−0.932621	+	1.22816i
$416$	14.7693	−	7.14903i	0.724125	−	0.350510i
$417$	3.66138	−	1.09531i	0.179298	−	0.0536374i
$418$	12.4260	+	14.2112i	0.607776	+	0.695092i
$419$	−3.91009	−	1.04770i	−0.191020	−	0.0511837i	0.162041	−	0.986784i	$-0.448192\pi$
$419$	−3.91009	−	1.04770i	−0.191020	−	0.0511837i	−0.353061	+	0.935600i	$0.614859\pi$
$420$	−0.0948437	−	3.06114i	−0.00462790	−	0.149368i
$421$	−30.9923	+	8.30436i	−1.51047	+	0.404730i	−0.916592	−	0.399823i	$-0.869071\pi$
$421$	−30.9923	+	8.30436i	−1.51047	+	0.404730i	−0.593880	+	0.804553i	$0.702405\pi$
$422$	8.41950	−	12.5607i	0.409855	−	0.611444i
$423$	4.15309	−	20.0709i	0.201930	−	0.975880i
$424$	21.4581	−	14.2015i	1.04210	−	0.689684i
$425$	−23.3308	+	13.7850i	−1.13171	+	0.668670i
$426$	−7.01541	−	30.8274i	−0.339898	−	1.49359i
$427$	−0.00932664	+	0.00538474i	−0.000451348	+	0.000260586i
$428$	−13.1187	+	16.9930i	−0.634115	+	0.821386i
$429$	9.89050	+	2.34628i	0.477518	+	0.113280i
$430$	−3.13324	−	4.65325i	−0.151098	−	0.224400i
$431$			14.0513i			0.676827i	0.940998	+	0.338413i	$0.109890\pi$
$431$			14.0513i			0.676827i	−0.940998	+	0.338413i	$0.890110\pi$
$432$	−6.98154	−	19.5770i	−0.335899	−	0.941898i
$433$	−13.3016	−	13.3016i	−0.639233	−	0.639233i	0.311134	−	0.950366i	$-0.399291\pi$
$433$	−13.3016	−	13.3016i	−0.639233	−	0.639233i	−0.950366	+	0.311134i	$0.899291\pi$
$434$	−0.145776	−	0.296703i	−0.00699749	−	0.0142422i
$435$	17.7411	−	14.5950i	0.850623	−	0.699778i
$436$	2.02772	+	15.7598i	0.0971103	+	0.754756i
$437$	7.40730	+	12.8298i	0.354339	+	0.613733i
$438$	−10.3536	−	6.51485i	−0.494715	−	0.311292i
$439$	9.05502	+	5.22792i	0.432172	+	0.249515i	0.700272	−	0.713876i	$-0.253062\pi$
$439$	9.05502	+	5.22792i	0.432172	+	0.249515i	−0.268099	+	0.963391i	$0.586396\pi$
$440$	8.44313	+	9.61541i	0.402510	+	0.458397i
$441$	1.18517	+	20.4968i	0.0564366	+	0.976037i
$442$	−18.4677	−	12.3790i	−0.878418	−	0.588809i
$443$	15.4642	−	26.7848i	0.734727	−	1.27258i	−0.220116	−	0.975474i	$-0.570644\pi$
$443$	15.4642	−	26.7848i	0.734727	−	1.27258i	0.954843	−	0.297111i	$-0.0960231\pi$
$444$	−1.23295	+	11.7038i	−0.0585132	+	0.555438i
$445$	−3.41675	+	27.0022i	−0.161970	+	1.28003i
$446$	−1.84438	+	27.5203i	−0.0873341	+	1.30312i
$447$	−11.4460	−	38.2614i	−0.541375	−	1.80970i
$448$	3.13223	+	0.440487i	0.147984	+	0.0208110i
$449$		−	3.67988i		−	0.173664i	−0.996223	−	0.0868321i	$-0.972326\pi$
$449$		−	3.67988i		−	0.173664i	0.996223	−	0.0868321i	$-0.0276744\pi$
$450$	−18.3616	+	10.6232i	−0.865573	+	0.500782i
$451$	−11.1555	−	11.1555i	−0.525294	−	0.525294i
$452$	11.2345	−	8.56822i	0.528427	−	0.403015i
$453$	3.65066	−	0.105457i	0.171523	−	0.00495479i
$454$	31.7534	−	27.7645i	1.49026	−	1.30305i
$455$	−1.57137	−	2.02665i	−0.0736668	−	0.0950106i
$456$	−11.1351	−	30.3425i	−0.521448	−	1.42092i
$457$	32.5843	−	8.73093i	1.52423	−	0.408416i	0.603096	−	0.797668i	$-0.293933\pi$
$457$	32.5843	−	8.73093i	1.52423	−	0.408416i	0.921131	+	0.389253i	$0.127267\pi$
$458$	−1.69062	−	1.13323i	−0.0789974	−	0.0529524i
$459$	−18.1158	+	21.5620i	−0.845573	+	1.00643i
$460$	5.03925	+	8.68617i	0.234956	+	0.404995i
$461$	7.86892	+	29.3672i	0.366492	+	1.36777i	0.865386	+	0.501105i	$0.167073\pi$
$461$	7.86892	+	29.3672i	0.366492	+	1.36777i	−0.498894	+	0.866663i	$0.666260\pi$
$462$	1.33187	+	1.43726i	0.0619643	+	0.0668674i
$463$	−7.38769	−	1.97953i	−0.343335	−	0.0919963i	0.0830313	−	0.996547i	$-0.473540\pi$
$463$	−7.38769	−	1.97953i	−0.343335	−	0.0919963i	−0.426366	+	0.904551i	$0.640207\pi$
$464$	11.7423	+	20.6171i	0.545123	+	0.957126i
$465$	−1.33153	+	1.86281i	−0.0617483	+	0.0863859i
$466$	7.55717	−	3.71299i	0.350079	−	0.172001i
$467$	29.9697			1.38683			0.693416	−	0.720538i	$-0.256105\pi$
$467$	29.9697			1.38683			0.693416	+	0.720538i	$0.256105\pi$
$468$	−14.3672	−	9.82237i	−0.664125	−	0.454039i
$469$	1.45407	−	1.45407i	0.0671428	−	0.0671428i
$470$	4.13935	−	21.2045i	0.190934	−	0.978091i
$471$	−18.0388	−	9.73134i	−0.831185	−	0.448396i
$472$	−27.0972	+	9.06528i	−1.24725	+	0.417264i
$473$	3.46691	+	0.928956i	0.159409	+	0.0427134i
$474$	29.6454	+	9.16519i	1.36166	+	0.420971i
$475$	−28.4007	+	16.7805i	−1.30311	+	0.769942i
$476$	−1.62845	−	3.96434i	−0.0746400	−	0.181705i
$477$	−24.3846	−	12.2592i	−1.11649	−	0.561312i
$478$	8.12331	+	41.1545i	0.371551	+	1.88236i
$479$	−7.98725	+	13.8343i	−0.364947	+	0.632106i	−0.988768	−	0.149461i	$-0.952246\pi$
$479$	−7.98725	+	13.8343i	−0.364947	+	0.632106i	0.623821	+	0.781567i	$0.285579\pi$
$480$	−7.59098	−	20.5518i	−0.346479	−	0.938058i
$481$	4.92718	+	8.53413i	0.224660	+	0.389123i
$482$	−6.54979	+	5.72701i	−0.298335	+	0.260858i
$483$	0.807009	+	1.30897i	0.0367202	+	0.0595604i
$484$	13.6893	+	1.84317i	0.622243	+	0.0837805i
$485$	−8.95712	+	1.22511i	−0.406722	+	0.0556296i
$486$	−14.3352	+	16.7482i	−0.650257	+	0.759715i
$487$	−4.64267	+	4.64267i	−0.210379	+	0.210379i	−0.804429	−	0.594049i	$-0.797528\pi$
$487$	−4.64267	+	4.64267i	−0.210379	+	0.210379i	0.594049	+	0.804429i	$0.297528\pi$
$488$	−0.0510516	+	0.0576982i	−0.00231100	+	0.00261188i
$489$	0.395982	−	0.244131i	0.0179069	−	0.0110400i
$490$	1.49237	+	21.5901i	0.0674184	+	0.975340i
$491$	37.2175	+	9.97240i	1.67960	+	0.450048i	0.967674	−	0.252204i	$-0.0811553\pi$
$491$	37.2175	+	9.97240i	1.67960	+	0.450048i	0.711928	+	0.702252i	$0.247822\pi$
$492$	10.9806	+	24.6787i	0.495043	+	1.11260i
$493$	16.0741	−	27.8411i	0.723941	−	1.25390i
$494$	−22.4808	−	15.0690i	−1.01146	−	0.677985i
$495$	4.39688	−	12.8405i	0.197625	−	0.577137i
$496$	−1.66236	−	1.68201i	−0.0746420	−	0.0755244i
$497$	−1.32080	−	4.92931i	−0.0592462	−	0.221110i
$498$	−10.1648	+	32.8786i	−0.455494	+	1.47333i
$499$	−3.47453	−	0.930998i	−0.155541	−	0.0416772i	0.180208	−	0.983629i	$-0.442323\pi$
$499$	−3.47453	−	0.930998i	−0.155541	−	0.0416772i	−0.335750	+	0.941951i	$0.608990\pi$
$500$	−19.2275	+	11.4150i	−0.859882	+	0.510493i
$501$	−2.77715	−	9.28342i	−0.124074	−	0.414752i
$502$	6.75392	−	3.31834i	0.301442	−	0.148105i
$503$	8.62822	+	8.62822i	0.384713	+	0.384713i	0.872797	−	0.488084i	$-0.162304\pi$
$503$	8.62822	+	8.62822i	0.384713	+	0.384713i	−0.488084	+	0.872797i	$0.662304\pi$
$504$	−1.24628	−	3.11485i	−0.0555137	−	0.138747i
$505$	−3.87490	−	28.3304i	−0.172431	−	1.26069i
$506$	−6.08101	−	2.07419i	−0.270334	−	0.0922091i
$507$	7.94026	−	0.229370i	0.352639	−	0.0101867i
$508$	0.827395	+	6.43064i	0.0367097	+	0.285313i
$509$	−0.264851	+	0.988438i	−0.0117393	+	0.0438117i	−0.971547	−	0.236847i	$-0.923886\pi$
$509$	−0.264851	+	0.988438i	−0.0117393	+	0.0438117i	0.959808	+	0.280658i	$0.0905528\pi$
$510$	−18.8387	+	22.9418i	−0.834192	+	1.01588i
$511$	−1.71000	−	0.987269i	−0.0756459	−	0.0436742i
$512$	22.2491	−	4.12059i	0.983279	−	0.182106i
$513$	−22.0524	+	26.2475i	−0.973637	+	1.15885i
$514$	12.2572	+	8.21610i	0.540644	+	0.362396i
$515$	0.667139	+	0.272413i	0.0293976	+	0.0120039i
$516$	−4.97074	−	3.61327i	−0.218825	−	0.159065i
$517$	6.91146	+	11.9710i	0.303966	+	0.526484i
$518$	−0.127025	+	1.89536i	−0.00558116	+	0.0832773i
$519$	−44.5888	+	1.28804i	−1.95723	+	0.0565385i
$520$	−15.2600	−	10.1826i	−0.669193	−	0.446536i
$521$			8.15253i			0.357169i	0.983925	+	0.178584i	$0.0571518\pi$
$521$			8.15253i			0.357169i	−0.983925	+	0.178584i	$0.942848\pi$
$522$	12.7820	−	21.6780i	0.559453	−	0.948821i
$523$	−1.25574			−0.0549096			−0.0274548	−	0.999623i	$-0.508740\pi$
$523$	−1.25574			−0.0549096			−0.0274548	+	0.999623i	$0.508740\pi$
$524$	−28.7277	+	21.9098i	−1.25498	+	0.957133i
$525$	−2.89646	+	1.82621i	−0.126412	+	0.0797022i
$526$	13.3635	+	0.895606i	0.582675	+	0.0390503i
$527$	−0.829326	+	3.09509i	−0.0361260	+	0.134824i
$528$	12.2975	+	6.72769i	0.535181	+	0.292785i
$529$	15.5519	+	8.97891i	0.676171	+	0.390387i
$530$	−25.8474	−	12.6323i	−1.12274	−	0.548710i
$531$	22.6314	+	20.1572i	0.982118	+	0.874750i
$532$	−1.98232	−	4.82580i	−0.0859444	−	0.209225i
$533$	19.5876	+	11.3089i	0.848432	+	0.489842i
$534$	6.61591	+	29.0720i	0.286298	+	1.25807i
$535$	23.8117	+	3.01304i	1.02947	+	0.130265i
$536$	6.56441	−	13.1647i	0.283539	−	0.568629i
$537$	−18.1713	−	4.31071i	−0.784150	−	0.186021i
$538$	−7.48093	−	15.2262i	−0.322526	−	0.656447i
$539$	−9.79096	−	9.79096i	−0.421726	−	0.421726i
$540$	−14.9109	+	17.8231i	−0.641665	+	0.766985i
$541$	−23.3948	+	23.3948i	−1.00582	+	1.00582i	−0.00583793	+	0.999983i	$0.501858\pi$
$541$	−23.3948	+	23.3948i	−1.00582	+	1.00582i	−0.999983	+	0.00583793i	$0.998142\pi$
$542$	10.3664	−	30.3915i	0.445273	−	1.30543i
$543$	7.61707	−	32.1089i	0.326880	−	1.37793i
$544$	−20.0450	−	23.1985i	−0.859423	−	0.994627i
$545$	14.0395	−	10.8856i	0.601385	−	0.466286i
$546$	−2.37769	−	1.49612i	−0.101756	−	0.0640282i
$547$	20.0818	−	34.7827i	0.858635	−	1.48720i	−0.0145958	−	0.999893i	$-0.504646\pi$
$547$	20.0818	−	34.7827i	0.858635	−	1.48720i	0.873231	−	0.487306i	$-0.162021\pi$
$548$	5.00544	+	2.09057i	0.213822	+	0.0893049i
$549$	0.0800194	+	0.0165577i	0.00341515	+	0.000706666i
$550$	4.48208	−	13.5864i	0.191117	−	0.579324i
$551$	19.5670	−	33.8911i	0.833583	−	1.44381i
$552$	8.44566	+	7.04862i	0.359471	+	0.300009i
$553$	4.83798	+	1.29633i	0.205732	+	0.0551257i
$554$	−13.2565	+	11.5913i	−0.563216	+	0.492465i
$555$	11.9784	−	5.44447i	0.508454	−	0.231105i
$556$	3.50888	−	2.67612i	0.148810	−	0.113493i
$557$			35.3947i			1.49972i	0.661595	+	0.749862i	$0.269880\pi$
$557$			35.3947i			1.49972i	−0.661595	+	0.749862i	$0.730120\pi$
$558$	−0.671369	+	2.41680i	−0.0284213	+	0.102311i
$559$	−5.14569			−0.217639
$560$	−1.35056	−	3.26835i	−0.0570717	−	0.138113i
$561$	−0.548422	−	18.9851i	−0.0231544	−	0.801552i
$562$	19.7600	+	22.5988i	0.833524	+	0.953274i
$563$	−17.9938	+	10.3887i	−0.758346	+	0.437831i	−0.828702	−	0.559691i	$-0.810920\pi$
$563$	−17.9938	+	10.3887i	−0.758346	+	0.437831i	0.0703554	+	0.997522i	$0.477587\pi$
$564$	−3.69672	−	23.3763i	−0.155660	−	0.984321i
$565$	−14.6245	−	5.97161i	−0.615256	−	0.251228i
$566$	4.12050	+	20.8754i	0.173197	+	0.877457i
$567$	−2.20941	+	2.78944i	−0.0927865	+	0.117145i
$568$	−20.1480	−	30.4432i	−0.845391	−	1.27737i
$569$	−11.9259	+	20.6562i	−0.499958	+	0.865952i	−1.00000		4.86378e-5i	$-0.999985\pi$
$569$	−11.9259	+	20.6562i	−0.499958	+	0.865952i	0.500042	+	0.866001i	$0.333318\pi$
$570$	−22.9324	+	27.9271i	−0.960533	+	1.16974i
$571$	−27.2831	−	7.31048i	−1.14176	−	0.305934i	−0.362102	−	0.932138i	$-0.617941\pi$
$571$	−27.2831	−	7.31048i	−1.14176	−	0.305934i	−0.779659	+	0.626205i	$0.784607\pi$
$572$	11.6416	−	1.49786i	0.486758	−	0.0626285i
$573$	−0.553631	−	19.1654i	−0.0231283	−	0.800647i
$574$	1.92263	+	3.91319i	0.0802490	+	0.163333i
$575$	5.51555	−	9.77922i	0.230014	−	0.407821i
$576$	−15.5243	−	18.3029i	−0.646846	−	0.762620i
$577$	−5.48854	+	5.48854i	−0.228491	+	0.228491i	−0.812062	−	0.583571i	$-0.801655\pi$
$577$	−5.48854	+	5.48854i	−0.228491	+	0.228491i	0.583571	+	0.812062i	$0.301655\pi$
$578$	−5.64942	+	16.5627i	−0.234985	+	0.688917i
$579$	−25.2855	+	7.56420i	−1.05083	+	0.314357i
$580$	13.2154	−	23.0008i	0.548739	−	0.955057i
$581$	−1.43772	+	5.36563i	−0.0596465	+	0.222604i
$582$	−8.75870	+	4.62194i	−0.363060	+	0.191585i
$583$	17.7796	−	4.76403i	0.736355	−	0.197306i
$584$	−13.8415	−	2.81672i	−0.572765	−	0.116557i
$585$	−1.32426	+	19.4130i	−0.0547514	+	0.802631i
$586$	−27.7930	+	5.48594i	−1.14812	+	0.226622i
$587$	−36.6515	−	21.1607i	−1.51277	−	0.873397i	−0.999888	−	0.0149360i	$-0.995246\pi$
$587$	−36.6515	−	21.1607i	−1.51277	−	0.873397i	−0.512879	−	0.858461i	$-0.671421\pi$
$588$	9.63740	+	21.6599i	0.397440	+	0.893239i
$589$	−1.00954	+	3.76765i	−0.0415974	+	0.155243i
$590$	24.0932	+	20.9778i	0.991901	+	0.863641i
$591$	−0.139305	−	0.225953i	−0.00573023	−	0.00929448i
$592$	3.43994	+	13.1466i	0.141381	+	0.540321i
$593$	2.04815	+	2.04815i	0.0841074	+	0.0841074i	0.747909	−	0.663801i	$-0.231058\pi$
$593$	2.04815	+	2.04815i	0.0841074	+	0.0841074i	−0.663801	+	0.747909i	$0.731058\pi$
$594$	−0.293144	−	14.8649i	−0.0120279	−	0.609916i
$595$	−2.89780	+	3.81609i	−0.118798	+	0.156445i
$596$	−27.9654	−	36.6678i	−1.14551	−	1.50197i
$597$	−2.23087	+	1.37537i	−0.0913034	+	0.0562903i
$598$	9.19065	+	0.615948i	0.375834	+	0.0251880i
$599$	−4.81449	+	2.77965i	−0.196715	+	0.113573i	−0.595122	−	0.803635i	$-0.702896\pi$
$599$	−4.81449	+	2.77965i	−0.196715	+	0.113573i	0.398407	+	0.917209i	$0.369563\pi$
$600$	−15.5051	+	18.9629i	−0.632992	+	0.774158i
$601$	−7.06617	−	4.07965i	−0.288235	−	0.166413i	0.348911	−	0.937156i	$-0.386552\pi$
$601$	−7.06617	−	4.07965i	−0.288235	−	0.166413i	−0.637146	+	0.770743i	$0.719885\pi$
$602$	−0.823946	−	0.552296i	−0.0335815	−	0.0225099i
$603$	−15.5769	+	0.900691i	−0.634341	+	0.0366790i
$604$	3.90089	−	1.60239i	0.158725	−	0.0652004i
$605$	−5.98160	−	14.2378i	−0.243187	−	0.578848i
$606$	−14.6187	−	27.7028i	−0.593844	−	1.12535i
$607$	4.32951	−	16.1579i	0.175729	−	0.655831i	−0.820697	−	0.571364i	$-0.806415\pi$
$607$	4.32951	−	16.1579i	0.175729	−	0.655831i	0.996426	−	0.0844671i	$-0.0269188\pi$
$608$	−24.4008	−	28.2396i	−0.989584	−	1.14527i
$609$	1.92863	−	3.57506i	0.0781519	−	0.144869i
$610$	0.0845390	+	0.0165029i	0.00342288	+	0.000668183i
$611$	−14.0130	−	14.0130i	−0.566904	−	0.566904i
$612$	−10.7795	+	30.6801i	−0.435737	+	1.24017i
$613$			43.5807i			1.76021i	0.474782	+	0.880104i	$0.342527\pi$
$613$			43.5807i			1.76021i	−0.474782	+	0.880104i	$0.657473\pi$
$614$	−9.28325	−	3.16645i	−0.374641	−	0.127788i
$615$	17.5614	−	24.5684i	0.708145	−	0.990695i
$616$	2.02485	+	1.00967i	0.0815837	+	0.0406806i
$617$	−4.18899	+	15.6335i	−0.168642	+	0.629381i	0.828905	+	0.559389i	$0.188964\pi$
$617$	−4.18899	+	15.6335i	−0.168642	+	0.629381i	−0.997548	+	0.0699924i	$0.977703\pi$
$618$	0.788821	+	0.0300212i	0.0317310	+	0.00120763i
$619$	6.99549	−	1.87443i	0.281172	−	0.0753399i	−0.115477	−	0.993310i	$-0.536840\pi$
$619$	6.99549	−	1.87443i	0.281172	−	0.0753399i	0.396649	+	0.917970i	$0.370173\pi$
$620$	−0.678967	+	2.55533i	−0.0272680	+	0.102625i
$621$	2.03334	−	11.4893i	0.0815949	−	0.461050i
$622$	5.35420	+	27.1256i	0.214684	+	1.08764i
$623$	1.24559	+	4.64861i	0.0499035	+	0.186243i
$624$	−19.5260	−	4.75345i	−0.781667	−	0.190290i
$625$	21.8978	+	12.0617i	0.875914	+	0.482467i
$626$	−2.05804	+	30.7084i	−0.0822560	+	1.22735i
$627$	−0.667596	−	23.1106i	−0.0266612	−	0.922949i
$628$	−23.4554	−	3.15810i	−0.935974	−	0.126022i
$629$	13.0197	−	13.0197i	0.519129	−	0.519129i
$630$	−2.29568	+	2.96635i	−0.0914621	+	0.118182i
$631$	39.9026			1.58850			0.794249	−	0.607592i	$-0.207864\pi$
$631$	39.9026			1.58850			0.794249	+	0.607592i	$0.207864\pi$
$632$	35.7635	−	2.18581i	1.42259	−	0.0869470i
$633$	−17.7430	+	5.30785i	−0.705222	+	0.210968i
$634$	−19.4317	−	22.2234i	−0.771732	−	0.882604i
$635$	5.72869	−	4.44176i	0.227336	−	0.176266i
$636$	−31.3416	−	3.30171i	−1.24278	−	0.130921i
$637$	17.1916	+	9.92555i	0.681155	+	0.393265i
$638$	3.28667	+	16.6510i	0.130120	+	0.659219i
$639$	−17.3925	+	34.5951i	−0.688037	+	1.36856i
$640$	−16.5802	−	19.1075i	−0.655389	−	0.755292i
$641$	23.0785	−	39.9732i	0.911547	−	1.57885i	0.0996680	−	0.995021i	$-0.468222\pi$
$641$	23.0785	−	39.9732i	0.911547	−	1.57885i	0.811879	−	0.583825i	$-0.198445\pi$
$642$	25.6369	−	5.83420i	1.01181	−	0.230258i
$643$	0.0851379	−	0.0491544i	0.00335751	−	0.00193846i	−0.498320	−	0.866993i	$-0.666050\pi$
$643$	0.0851379	−	0.0491544i	0.00335751	−	0.00193846i	0.501678	+	0.865055i	$0.332716\pi$
$644$	1.40553	+	1.08508i	0.0553856	+	0.0427580i
$645$	−0.665323	+	6.83830i	−0.0261971	+	0.269258i
$646$	−16.3250	+	47.8607i	−0.642298	+	1.88306i
$647$	−5.54167	+	5.54167i	−0.217865	+	0.217865i	−0.807598	−	0.589733i	$-0.799233\pi$
$647$	−5.54167	+	5.54167i	−0.217865	+	0.217865i	0.589733	+	0.807598i	$0.299233\pi$
$648$	−8.65794	+	23.9383i	−0.340116	+	0.940383i
$649$	−20.4394			−0.802316
$650$	−1.16549	+	20.4776i	−0.0457143	+	0.803196i
$651$	−0.0934538	+	0.393944i	−0.00366274	+	0.0154399i
$652$	0.328250	−	0.425191i	0.0128553	−	0.0166518i
$653$	6.83120	+	11.8320i	0.267326	+	0.463022i	0.968170	−	0.250292i	$-0.0805267\pi$
$653$	6.83120	+	11.8320i	0.267326	+	0.463022i	−0.700845	+	0.713314i	$0.747193\pi$
$654$	10.3643	−	16.4713i	0.405277	−	0.644079i
$655$	37.3962	+	15.2700i	1.46119	+	0.596649i
$656$	21.9246	+	22.1838i	0.856013	+	0.866133i
$657$	4.70655	+	14.2235i	0.183620	+	0.554913i
$658$	−0.739770	−	3.74784i	−0.0288392	−	0.146106i
$659$	6.75071	+	25.1940i	0.262970	+	0.981418i	0.963481	+	0.267777i	$0.0862889\pi$
$659$	6.75071	+	25.1940i	0.262970	+	0.981418i	−0.700511	+	0.713642i	$0.747044\pi$
$660$	−0.485336	−	15.6646i	−0.0188917	−	0.609742i
$661$	−10.6228	+	39.6447i	−0.413178	+	1.54200i	0.375279	+	0.926912i	$0.377547\pi$
$661$	−10.6228	+	39.6447i	−0.413178	+	1.54200i	−0.788457	+	0.615090i	$0.789120\pi$
$662$	3.15617	−	47.0937i	0.122668	−	1.83035i
$663$	7.80402	+	26.0872i	0.303083	+	1.01314i
$664$	2.42420	+	39.6639i	0.0940773	+	1.53926i
$665$	−3.52749	+	4.64534i	−0.136790	+	0.180138i
$666$	10.2848	−	10.0981i	0.398529	−	0.391293i
$667$			13.3193i			0.515727i
$668$	−6.78529	−	8.89676i	−0.262531	−	0.344226i
$669$	23.1871	−	24.5665i	0.896464	−	0.949797i
$670$	−16.4078	+	1.13415i	−0.633888	+	0.0438162i
$671$	−0.0477265	+	0.0275549i	−0.00184246	+	0.00106375i
$672$	−2.61638	−	2.85690i	−0.100929	−	0.110207i
$673$	29.2465	−	7.83659i	1.12737	−	0.302078i	0.353509	−	0.935431i	$-0.384989\pi$
$673$	29.2465	−	7.83659i	1.12737	−	0.302078i	0.773863	+	0.633353i	$0.218322\pi$
$674$	−29.9608	−	20.0829i	−1.15405	−	0.773563i
$675$	25.6275	+	4.26991i	0.986402	+	0.164349i
$676$	8.48451	−	3.48523i	0.326327	−	0.134047i
$677$	2.69657	−	4.67060i	0.103638	−	0.179506i	−0.809543	−	0.587060i	$-0.800285\pi$
$677$	2.69657	−	4.67060i	0.103638	−	0.179506i	0.913181	+	0.407555i	$0.133618\pi$
$678$	−17.2919	−	0.658100i	−0.664091	−	0.0252742i
$679$	−1.38438	+	0.799272i	−0.0531276	+	0.0306732i
$680$	−10.9979	+	32.4655i	−0.421752	+	1.24500i
$681$	−51.6381	+	1.49167i	−1.97878	+	0.0571609i
$682$	−0.745971	−	1.51830i	−0.0285647	−	0.0581386i
$683$	−6.70239			−0.256460			−0.128230	−	0.991744i	$-0.540930\pi$
$683$	−6.70239			−0.256460			−0.128230	+	0.991744i	$0.540930\pi$
$684$	−13.1220	+	37.3470i	−0.501731	+	1.42800i
$685$	−0.821857	−	6.00881i	−0.0314016	−	0.229585i
$686$	3.41344	+	6.94748i	0.130326	+	0.265256i
$687$	0.714416	+	2.38814i	0.0272567	+	0.0911132i
$688$	−6.84321	−	1.87680i	−0.260895	−	0.0715524i
$689$	−22.8535	+	13.1945i	−0.870650	+	0.502670i
$690$	2.00688	−	12.1342i	0.0764006	−	0.461939i
$691$	35.0432	−	9.38979i	1.33311	−	0.357204i	0.479233	−	0.877688i	$-0.340915\pi$
$691$	35.0432	−	9.38979i	1.33311	−	0.357204i	0.853872	+	0.520483i	$0.174248\pi$
$692$	−47.6450	+	19.5714i	−1.81119	+	0.743994i
$693$	−0.138535	−	2.39587i	−0.00526250	−	0.0910117i
$694$	41.4035	−	8.17245i	1.57165	−	0.310222i
$695$	−4.56767	−	1.86512i	−0.173262	−	0.0707480i
$696$	4.97003	−	28.6308i	0.188388	−	1.08525i
$697$	10.9379	−	40.8207i	0.414302	−	1.54620i
$698$	−3.11948	−	0.209064i	−0.118074	−	0.00791321i
$699$	−10.0339	−	2.38031i	−0.379518	−	0.0900316i
$700$	−2.38451	+	3.15385i	−0.0901262	+	0.119204i
$701$	23.8788	−	23.8788i	0.901888	−	0.901888i	−0.0937110	−	0.995599i	$-0.529873\pi$
$701$	23.8788	−	23.8788i	0.901888	−	0.901888i	0.995599	+	0.0937110i	$0.0298730\pi$
$702$	5.92169	+	20.4763i	0.223500	+	0.772827i
$703$	15.8489	−	15.8489i	0.597752	−	0.597752i
$704$	16.0283	+	2.25407i	0.604090	+	0.0849534i
$705$	−20.4342	+	16.8105i	−0.769595	+	0.633120i
$706$	14.9432	+	1.00148i	0.562394	+	0.0376911i
$707$	−2.52801	−	4.37864i	−0.0950756	−	0.164676i
$708$	32.6678	+	12.5489i	1.22773	+	0.471618i
$709$	0.699063	+	2.60894i	0.0262539	+	0.0979808i	0.977810	−	0.209496i	$-0.0671822\pi$
$709$	0.699063	+	2.60894i	0.0262539	+	0.0979808i	−0.951556	+	0.307476i	$0.900516\pi$
$710$	−17.9217	+	36.6705i	−0.672590	+	1.37622i
$711$	−20.8700	−	31.7604i	−0.782687	−	1.19111i
$712$	19.0007	+	28.7096i	0.712080	+	1.07594i
$713$	−0.343599	−	1.28233i	−0.0128679	−	0.0480236i
$714$	−1.55037	+	5.01479i	−0.0580212	+	0.187674i
$715$	−8.04103	−	10.3708i	−0.300718	−	0.387846i
$716$	−21.3884	+	2.75194i	−0.799324	+	0.102845i
$717$	24.3927	−	45.2164i	0.910962	−	1.68864i
$718$	−1.37272	+	4.02446i	−0.0512294	+	0.150192i
$719$	10.6580			0.397476			0.198738	−	0.980053i	$-0.436316\pi$
$719$	10.6580			0.397476			0.198738	+	0.980053i	$0.436316\pi$
$720$	−8.84169	+	25.3343i	−0.329510	+	0.944152i
$721$	0.127419			0.00474532
$722$	−11.1980	+	32.8296i	−0.416745	+	1.22179i
$723$	10.6514	−	0.307688i	0.396131	−	0.0114430i
$724$	−4.86270	−	37.7936i	−0.180721	−	1.40459i
$725$	−29.6566	+	0.298495i	−1.10142	+	0.0110858i
$726$	−11.4987	−	12.4086i	−0.426757	−	0.460526i
$727$	3.45761	+	12.9040i	0.128236	+	0.478582i	0.999934	−	0.0114601i	$-0.00364793\pi$
$727$	3.45761	+	12.9040i	0.128236	+	0.478582i	−0.871699	+	0.490042i	$0.836981\pi$
$728$	−3.17867	−	0.646853i	−0.117809	−	0.0239740i
$729$	26.5957	−	4.65502i	0.985026	−	0.172408i
$730$	5.12957	+	14.9361i	0.189854	+	0.552812i
$731$	2.48844	+	9.28698i	0.0920382	+	0.343491i
$732$	0.0931977	−	0.0147382i	0.00344469	−	0.000544740i
$733$	−5.63928	−	9.76751i	−0.208291	−	0.360771i	0.742885	−	0.669419i	$-0.233457\pi$
$733$	−5.63928	−	9.76751i	−0.208291	−	0.360771i	−0.951176	+	0.308648i	$0.900124\pi$
$734$	0.422764	+	0.0283332i	0.0156045	+	0.00104580i
$735$	15.4133	−	21.5632i	0.568526	−	0.795369i
$736$	11.9979	+	4.17128i	0.442249	+	0.153755i
$737$	7.44082	−	7.44082i	0.274086	−	0.274086i
$738$	8.85461	−	31.8749i	0.325943	−	1.17333i
$739$	−31.2794	+	31.2794i	−1.15063	+	1.15063i	−0.164205	+	0.986426i	$0.552506\pi$
$739$	−31.2794	+	31.2794i	−1.15063	+	1.15063i	−0.986426	+	0.164205i	$0.947494\pi$
$740$	10.7207	−	10.7657i	0.394099	−	0.395754i
$741$	9.49984	+	31.7559i	0.348986	+	1.16658i
$742$	−5.07558	−	0.340160i	−0.186330	−	0.0124877i
$743$	9.00099	−	33.5922i	0.330214	−	1.23238i	−0.578751	−	0.815505i	$-0.696460\pi$
$743$	9.00099	−	33.5922i	0.330214	−	1.23238i	0.908965	−	0.416872i	$-0.136874\pi$
$744$	0.260094	+	2.88465i	0.00953552	+	0.105757i
$745$	−19.4905	+	47.7322i	−0.714076	+	1.74877i
$746$	−45.2238	+	8.92652i	−1.65576	+	0.326823i
$747$	35.2242	−	23.1462i	1.28879	−	0.846874i
$748$	−8.33316	−	20.2864i	−0.304690	−	0.741744i
$749$	4.09935	−	1.09842i	0.149787	−	0.0401353i
$750$	27.0627	+	4.19655i	0.988190	+	0.153236i
$751$	−41.3022	+	23.8458i	−1.50714	+	0.870147i	−0.507174	+	0.861844i	$0.669310\pi$
$751$	−41.3022	+	23.8458i	−1.50714	+	0.870147i	−0.999966	+	0.00830342i	$0.997357\pi$
$752$	−13.5247	−	23.7467i	−0.493196	−	0.865953i
$753$	−8.96743	−	2.12731i	−0.326791	−	0.0775234i
$754$	−10.7299	−	21.8388i	−0.390759	−	0.795323i
$755$	−3.75502	−	2.85142i	−0.136659	−	0.103774i
$756$	−1.24955	+	3.91432i	−0.0454457	+	0.142362i
$757$	1.95718			0.0711351			0.0355675	−	0.999367i	$-0.488676\pi$
$757$	1.95718			0.0711351			0.0355675	+	0.999367i	$0.488676\pi$
$758$	−12.4828	−	25.4067i	−0.453396	−	0.922812i
$759$	4.12964	+	6.69832i	0.149897	+	0.243134i
$760$	−13.3878	+	39.5204i	−0.485627	+	1.43355i
$761$	34.2657	−	19.7833i	1.24213	−	0.717144i	0.272602	−	0.962127i	$-0.412116\pi$
$761$	34.2657	−	19.7833i	1.24213	−	0.717144i	0.969527	+	0.244983i	$0.0787824\pi$
$762$	4.22907	−	6.72097i	0.153203	−	0.243475i
$763$	1.57062	−	2.72039i	0.0568603	−	0.0984849i
$764$	−8.41230	−	20.4791i	−0.304346	−	0.740907i
$765$	35.6772	−	6.99805i	1.28991	−	0.253015i
$766$	−6.36726	−	4.26801i	−0.230058	−	0.154209i
$767$	28.3045	−	7.58418i	1.02202	−	0.273849i
$768$	−24.2338	−	13.4434i	−0.874461	−	0.485095i
$769$	−40.9967	+	23.6694i	−1.47838	+	0.853541i	−0.999701	−	0.0244502i	$-0.992216\pi$
$769$	−40.9967	+	23.6694i	−1.47838	+	0.853541i	−0.478676	+	0.877992i	$0.658883\pi$
$770$	−0.174443	−	2.52367i	−0.00628650	−	0.0909467i
$771$	−5.17963	−	17.3144i	−0.186540	−	0.623562i
$772$	−24.2324	+	18.4813i	−0.872142	+	0.665156i
$773$		−	27.7078i		−	0.996581i	−0.867010	−	0.498291i	$-0.833961\pi$
$773$		−	27.7078i		−	0.996581i	0.867010	−	0.498291i	$-0.166039\pi$
$774$	1.88128	+	7.28743i	0.0676213	+	0.261941i
$775$	2.84751	−	0.793789i	0.102286	−	0.0285137i
$776$	−7.57773	+	8.56431i	−0.272025	+	0.307441i
$777$	1.59692	−	1.69193i	0.0572893	−	0.0606975i
$778$	2.16878	−	32.3607i	0.0777545	−	1.16019i
$779$	13.3147	−	49.6912i	0.477049	−	1.78037i
$780$	6.48454	+	21.5123i	0.232184	+	0.770262i
$781$	−6.75885	−	25.2244i	−0.241851	−	0.902599i
$782$	−3.33290	−	16.8852i	−0.119184	−	0.603814i
$783$	−28.9695	+	10.5234i	−1.03529	+	0.376075i
$784$	19.2428	+	19.4702i	0.687241	+	0.695366i
$785$	10.2489	+	24.3951i	0.365800	+	0.870700i
$786$	44.2171	+	1.68283i	1.57717	+	0.0600245i
$787$	−20.3285	−	35.2099i	−0.724632	−	1.25510i	−0.959125	−	0.282981i	$-0.908677\pi$
$787$	−20.3285	−	35.2099i	−0.724632	−	1.25510i	0.234494	−	0.972118i	$-0.424657\pi$
$788$	−0.242620	−	0.187304i	−0.00864299	−	0.00667244i
$789$	−11.9291	−	11.2593i	−0.424689	−	0.400842i
$790$	−22.3743	−	33.2286i	−0.796043	−	1.18222i
$791$	−2.79317			−0.0993137
$792$	−6.37749	−	15.9394i	−0.226614	−	0.566382i
$793$	0.0558674	−	0.0558674i	0.00198391	−	0.00198391i
$794$	7.91806	−	23.2137i	0.281001	−	0.823825i
$795$	14.5797	+	32.0769i	0.517090	+	1.13765i
$796$	−1.84928	+	2.39543i	−0.0655461	+	0.0849036i
$797$	40.6717	−	23.4818i	1.44067	−	0.831769i	0.442772	−	0.896634i	$-0.353995\pi$
$797$	40.6717	−	23.4818i	1.44067	−	0.831769i	0.997894	+	0.0648651i	$0.0206617\pi$
$798$	−1.88727	+	6.10451i	−0.0668087	+	0.216097i
$799$	−18.5141	+	32.0673i	−0.654981	+	1.13446i
$800$	−9.01881	+	26.8079i	−0.318863	+	0.947801i
$801$	16.4021	−	32.6251i	0.579539	−	1.15275i
$802$	−6.67973	−	33.8410i	−0.235869	−	1.19497i
$803$	−8.75045	−	5.05208i	−0.308797	−	0.178284i
$804$	−16.4608	+	7.32412i	−0.580529	+	0.258302i
$805$	0.249216	−	1.96952i	0.00878371	−	0.0694166i
$806$	1.59640	+	1.82575i	0.0562308	+	0.0643092i
$807$	−4.79585	+	20.2164i	−0.168822	+	0.711649i
$808$	−27.0880	−	23.9675i	−0.952952	−	0.843175i
$809$	46.2876			1.62739			0.813693	−	0.581295i	$-0.197454\pi$
$809$	46.2876			1.62739			0.813693	+	0.581295i	$0.197454\pi$
$810$	27.9773	−	5.22203i	0.983023	−	0.183483i
$811$	29.3836	−	29.3836i	1.03180	−	1.03180i	0.0323213	−	0.999478i	$-0.489710\pi$
$811$	29.3836	−	29.3836i	1.03180	−	1.03180i	0.999478	−	0.0323213i	$-0.0102900\pi$
$812$	0.625895	−	4.64857i	0.0219646	−	0.163133i
$813$	−33.4767	+	20.6390i	−1.17408	+	0.723843i
$814$	−0.650015	+	9.69897i	−0.0227830	+	0.339949i
$815$	−0.595807	−	0.0753912i	−0.0208702	−	0.00264084i
$816$	0.863662	+	37.5395i	0.0302342	+	1.31414i
$817$	3.02918	+	11.3051i	0.105978	+	0.395514i
$818$	3.14115	+	15.9138i	0.109828	+	0.556412i
$819$	1.08085	+	3.26641i	0.0377679	+	0.114138i
$820$	8.95482	−	33.7020i	0.312716	−	1.17693i
$821$	4.17928	−	1.11983i	0.145858	−	0.0390825i	−0.185151	−	0.982710i	$-0.559278\pi$
$821$	4.17928	−	1.11983i	0.145858	−	0.0390825i	0.331009	+	0.943628i	$0.392611\pi$
$822$	−3.10059	−	5.87570i	−0.108145	−	0.204938i
$823$	−5.59128	+	20.8669i	−0.194900	+	0.727376i	0.797393	+	0.603460i	$0.206212\pi$
$823$	−5.59128	+	20.8669i	−0.194900	+	0.727376i	−0.992293	+	0.123915i	$0.960455\pi$
$824$	0.864420	−	0.289189i	0.0301135	−	0.0100744i
$825$	−14.8218	+	9.34511i	−0.516029	+	0.325355i
$826$	5.34625	+	1.82357i	0.186020	+	0.0634501i
$827$			1.54934i			0.0538757i	0.999637	+	0.0269379i	$0.00857563\pi$
$827$			1.54934i			0.0538757i	−0.999637	+	0.0269379i	$0.991424\pi$
$828$	−2.48782	−	13.2412i	−0.0864576	−	0.460163i
$829$	−30.1476	−	30.1476i	−1.04707	−	1.04707i	−0.998836	−	0.0482348i	$-0.984640\pi$
$829$	−30.1476	−	30.1476i	−1.04707	−	1.04707i	−0.0482348	−	0.998836i	$-0.515360\pi$
$830$	36.8526	−	24.8146i	1.27917	−	0.861326i
$831$	21.5581	−	0.622748i	0.747842	−	0.0216029i
$832$	−23.0325	+	2.82598i	−0.798508	+	0.0979733i
$833$	9.59993	−	35.8274i	0.332618	−	1.24135i
$834$	−5.40079	−	0.205545i	−0.187014	−	0.00711744i
$835$	−4.72900	+	11.5813i	−0.163654	+	0.400788i
$836$	−10.1440	−	24.6947i	−0.350837	−	0.854083i
$837$	2.51758	−	1.76047i	0.0870204	−	0.0608508i
$838$	4.75529	+	3.18750i	0.164269	+	0.110110i
$839$	−30.4886	−	17.6026i	−1.05258	−	0.607708i	−0.129211	−	0.991617i	$-0.541244\pi$
$839$	−30.4886	−	17.6026i	−1.05258	−	0.607708i	−0.923371	+	0.383909i	$0.874578\pi$
$840$	−1.27062	+	4.14062i	−0.0438406	+	0.142865i
$841$	5.35569	−	3.09211i	0.184679	−	0.106624i
$842$	45.2743	+	3.03424i	1.56026	+	0.104567i
$843$	−1.06162	−	36.7508i	−0.0365641	−	1.26576i
$844$	−17.0040	+	12.9684i	−0.585302	+	0.446392i
$845$	−8.16724	−	6.20189i	−0.280961	−	0.213352i
$846$	−14.7223	+	24.9686i	−0.506162	+	0.858439i
$847$	−1.93088	−	1.93088i	−0.0663458	−	0.0663458i
$848$	−35.2052	+	9.21182i	−1.20895	+	0.316335i
$849$	12.3730	−	22.9357i	0.424642	−	0.787152i
$850$	37.5217	−	7.79939i	1.28698	−	0.267517i
$851$	−1.97441	+	7.36861i	−0.0676821	+	0.252593i
$852$	−4.68423	+	44.4652i	−0.160479	+	1.52335i
$853$	5.23308	+	3.02132i	0.179177	+	0.103448i	0.586906	−	0.809655i	$-0.300346\pi$
$853$	5.23308	+	3.02132i	0.179177	+	0.103448i	−0.407729	+	0.913103i	$0.633679\pi$
$854$	0.0149420	−	0.00294934i	0.000511306	−	0.000100924i
$855$	43.4299	−	8.51874i	1.48527	−	0.291335i
$856$	25.3174	−	16.7556i	0.865331	−	0.572695i
$857$	−19.4685	+	5.21657i	−0.665032	+	0.178195i	−0.575516	−	0.817791i	$-0.695199\pi$
$857$	−19.4685	+	5.21657i	−0.665032	+	0.178195i	−0.0895159	+	0.995985i	$0.528532\pi$
$858$	−12.1672	−	7.65600i	−0.415380	−	0.261371i
$859$	4.20106	−	15.6786i	0.143338	−	0.534947i	−0.856485	−	0.516172i	$-0.827357\pi$
$859$	4.20106	−	15.6786i	0.143338	−	0.534947i	0.999824	−	0.0187750i	$-0.00597662\pi$
$860$	2.06938	+	7.65883i	0.0705652	+	0.261164i
$861$	1.23255	−	5.19568i	0.0420052	−	0.177068i
$862$	6.41513	−	18.8075i	0.218500	−	0.640587i
$863$	16.4736	−	16.4736i	0.560767	−	0.560767i	−0.368758	−	0.929525i	$-0.620217\pi$
$863$	16.4736	−	16.4736i	0.560767	−	0.560767i	0.929525	+	0.368758i	$0.120217\pi$
$864$	0.406849	+	29.3911i	0.0138413	+	0.999904i
$865$	45.8634	+	34.8269i	1.55940	+	1.18415i
$866$	11.7312	+	23.8769i	0.398643	+	0.811370i
$867$	18.2440	−	11.2478i	0.619600	−	0.381995i
$868$	0.0596604	+	0.463690i	0.00202501	+	0.0157386i
$869$	24.7570	+	6.63363i	0.839825	+	0.225030i
$870$	−30.4098	+	11.4356i	−1.03099	+	0.387703i
$871$	−7.54311	+	13.0650i	−0.255588	+	0.442692i
$872$	4.48104	−	22.0201i	0.151747	−	0.745694i
$873$	11.8775	+	2.45771i	0.401993	+	0.0831808i
$874$	−4.05715	−	20.5544i	−0.137235	−	0.695264i
$875$	4.39089	+	0.510762i	0.148439	+	0.0172669i
$876$	10.8839	+	13.4470i	0.367732	+	0.454333i
$877$	−42.0635	+	24.2854i	−1.42038	+	0.820059i	−0.996331	−	0.0855778i	$-0.972726\pi$
$877$	−42.0635	+	24.2854i	−1.42038	+	0.820059i	−0.424053	+	0.905637i	$0.639393\pi$
$878$	−9.73326	−	11.1316i	−0.328482	−	0.375673i
$879$	30.5361	+	16.4732i	1.02996	+	0.555627i
$880$	−6.91114	−	16.7249i	−0.232974	−	0.563795i
$881$	27.3406			0.921128			0.460564	−	0.887627i	$-0.347647\pi$
$881$	27.3406			0.921128			0.460564	+	0.887627i	$0.347647\pi$
$882$	7.77148	−	27.9759i	0.261679	−	0.941997i
$883$			11.5472i			0.388595i	0.980943	+	0.194297i	$0.0622427\pi$
$883$			11.5472i			0.388595i	−0.980943	+	0.194297i	$0.937757\pi$
$884$	19.0672	+	25.0006i	0.641300	+	0.840862i
$885$	−6.41920	−	38.5956i	−0.215779	−	1.29738i
$886$	−32.9274	+	28.7911i	−1.10622	+	0.967254i
$887$	−15.2126	−	4.07621i	−0.510791	−	0.136866i	−0.00578710	−	0.999983i	$-0.501842\pi$
$887$	−15.2126	−	4.07621i	−0.510791	−	0.136866i	−0.505003	+	0.863117i	$0.668509\pi$
$888$	6.99368	−	15.1025i	0.234692	−	0.506808i
$889$	0.640879	−	1.11003i	0.0214944	−	0.0372294i
$890$	16.9012	−	34.5823i	0.566528	−	1.15920i
$891$	−11.3060	+	14.2742i	−0.378767	+	0.478203i
$892$	15.0331	−	35.9937i	0.503346	−	1.20516i
$893$	−22.5372	+	39.0356i	−0.754179	+	1.30628i
$894$	−2.14794	+	56.4383i	−0.0718380	+	1.88758i
$895$	14.7734	+	19.0537i	0.493820	+	0.636896i
$896$	−3.99136	−	2.01961i	−0.133342	−	0.0674705i
$897$	−8.20421	−	7.74353i	−0.273931	−	0.258549i
$898$	−1.68005	+	4.92549i	−0.0560641	+	0.164366i
$899$	−2.47973	+	2.47973i	−0.0827038	+	0.0827038i
$900$	29.4269	−	5.83607i	0.980895	−	0.194536i
$901$	34.8654	+	34.8654i	1.16153	+	1.16153i
$902$	9.83853	+	20.0247i	0.327587	+	0.666748i
$903$	0.348181	+	1.16389i	0.0115867	+	0.0387319i
$904$	−18.9491	+	6.33936i	−0.630239	+	0.210844i
$905$	−33.6682	+	26.1047i	−1.11917	+	0.867751i
$906$	−4.93453	−	1.52556i	−0.163939	−	0.0506834i
$907$	−14.1745	−	8.18364i	−0.470656	−	0.271733i	0.245858	−	0.969306i	$-0.420930\pi$
$907$	−14.1745	−	8.18364i	−0.470656	−	0.271733i	−0.716514	+	0.697572i	$0.754264\pi$
$908$	−55.1776	+	22.6656i	−1.83113	+	0.752184i
$909$	−7.77346	+	37.5673i	−0.257829	+	1.24603i
$910$	1.17799	+	3.43006i	0.0390501	+	0.113705i
$911$	−9.97682	−	5.76012i	−0.330547	−	0.190841i	0.325537	−	0.945529i	$-0.394455\pi$
$911$	−9.97682	−	5.76012i	−0.330547	−	0.190841i	−0.656084	+	0.754688i	$0.727788\pi$
$912$	1.05134	+	45.6969i	0.0348133	+	1.51318i
$913$	−7.35711	+	27.4571i	−0.243485	+	0.908698i
$914$	−47.5999	−	3.19010i	−1.57446	−	0.105519i
$915$	−0.0670208	−	0.0814678i	−0.00221564	−	0.00269324i
$916$	1.74550	+	2.28867i	0.0576730	+	0.0756199i
$917$	7.14242			0.235863
$918$	34.0920	−	20.5898i	1.12520	−	0.679564i
$919$			23.3065i			0.768811i	0.923164	+	0.384406i	$0.125594\pi$
$919$			23.3065i			0.768811i	−0.923164	+	0.384406i	$0.874406\pi$
$920$	−2.77931	−	13.9270i	−0.0916312	−	0.459161i
$921$	6.30430	+	10.2256i	0.207734	+	0.336946i
$922$	2.87514	−	42.9004i	0.0946877	−	1.41285i
$923$	18.7194	+	32.4229i	0.616156	+	1.06721i
$924$	−1.12652	−	2.53183i	−0.0370597	−	0.0832910i
$925$	−16.4511	−	4.23106i	−0.540908	−	0.139117i
$926$	8.98461	+	6.02243i	0.295253	+	0.197909i
$927$	−0.721957	−	0.643030i	−0.0237122	−	0.0211199i
$928$	−6.30423	−	32.9568i	−0.206946	−	1.08186i
$929$	−16.9948	−	9.81194i	−0.557580	−	0.321919i	0.194593	−	0.980884i	$-0.437661\pi$
$929$	−16.9948	−	9.81194i	−0.557580	−	0.321919i	−0.752174	+	0.658965i	$0.770995\pi$
$930$	2.63271	−	1.88545i	0.0863301	−	0.0618263i
$931$	11.6860	−	43.6128i	0.382994	−	1.42935i
$932$	−11.8104	+	1.51958i	−0.386862	+	0.0497754i
$933$	16.0776	−	29.8028i	0.526358	−	0.975701i
$934$	−40.1142	−	13.6827i	−1.31258	−	0.447711i
$935$	−14.8287	+	19.5278i	−0.484950	+	0.638627i
$936$	14.7460	+	19.7065i	0.481988	+	0.644128i
$937$	7.74137	+	7.74137i	0.252900	+	0.252900i	0.822158	−	0.569259i	$-0.192770\pi$
$937$	7.74137	+	7.74137i	0.252900	+	0.252900i	−0.569259	+	0.822158i	$0.692770\pi$
$938$	−2.61012	+	1.28241i	−0.0852236	+	0.0418721i
$939$	25.8731	−	27.4124i	0.844338	−	0.894570i
$940$	−15.2214	+	26.4922i	−0.496468	+	0.864082i
$941$	12.5631	+	3.36627i	0.409545	+	0.109737i	0.457709	−	0.889102i	$-0.348670\pi$
$941$	12.5631	+	3.36627i	0.409545	+	0.109737i	−0.0481638	+	0.998839i	$0.515337\pi$
$942$	19.7020	+	21.2610i	0.641925	+	0.692720i
$943$	4.53169	+	16.9125i	0.147572	+	0.550746i
$944$	40.4082	+	0.237451i	1.31517	+	0.00772837i
$945$	4.48060	−	1.01404i	0.145754	−	0.0329868i
$946$	−4.21632	−	2.82622i	−0.137084	−	0.0918884i
$947$	−28.7796	+	49.8478i	−0.935213	+	1.61984i	−0.160959	+	0.986961i	$0.551459\pi$
$947$	−28.7796	+	49.8478i	−0.935213	+	1.61984i	−0.774254	+	0.632875i	$0.781875\pi$
$948$	−35.4958	−	25.8022i	−1.15285	−	0.838016i
$949$	13.9923	+	3.74922i	0.454208	+	0.121705i
$950$	45.6752	−	9.49422i	1.48190	−	0.308033i
$951$	1.04398	+	36.1403i	0.0338535	+	1.17193i
$952$	0.369750	+	6.04971i	0.0119837	+	0.196072i
$953$	−20.9132	+	20.9132i	−0.677445	+	0.677445i	−0.959421	−	0.281977i	$-0.909010\pi$
$953$	−20.9132	+	20.9132i	−0.677445	+	0.677445i	0.281977	+	0.959421i	$0.409010\pi$
$954$	27.0416	+	27.5417i	0.875506	+	0.891695i
$955$	−14.9695	+	19.7133i	−0.484402	+	0.637906i
$956$	7.91614	−	58.7937i	0.256026	−	1.90152i
$957$	9.86921	−	18.2944i	0.319026	−	0.591374i
$958$	17.0069	−	14.8705i	0.549469	−	0.480445i
$959$	−0.536185	−	0.928699i	−0.0173143	−	0.0299892i
$960$	0.777519	+	30.9741i	0.0250943	+	0.999685i
$961$	−15.3252	+	26.5441i	−0.494362	+	0.856261i
$962$	−2.69873	−	13.6724i	−0.0870105	−	0.440815i
$963$	−28.7702	−	14.4641i	−0.927108	−	0.466099i
$964$	11.3815	−	4.67525i	0.366574	−	0.150580i
$965$	31.5444	+	12.8805i	1.01545	+	0.414639i
$966$	−0.482561	−	2.12049i	−0.0155261	−	0.0682257i
$967$	27.1480	+	7.27430i	0.873022	+	0.233926i	0.667394	−	0.744705i	$-0.267410\pi$
$967$	27.1480	+	7.27430i	0.873022	+	0.233926i	0.205628	+	0.978630i	$0.434076\pi$
$968$	−17.4816	−	8.71695i	−0.561879	−	0.280173i
$969$	52.7193	−	32.5025i	1.69359	−	1.04413i
$970$	12.5484	+	2.44957i	0.402904	+	0.0786511i
$971$	1.90450	−	1.90450i	0.0611182	−	0.0611182i	−0.675887	−	0.737005i	$-0.736239\pi$
$971$	1.90450	−	1.90450i	0.0611182	−	0.0611182i	0.737005	+	0.675887i	$0.236239\pi$
$972$	26.8339	−	15.8726i	0.860699	−	0.509115i
$973$	−0.872393			−0.0279676
$974$	8.33379	−	4.09456i	0.267032	−	0.131198i
$975$	17.0577	−	18.4409i	0.546285	−	0.590581i
$976$	0.0946743	−	0.0539210i	0.00303045	−	0.00172597i
$977$	9.27367	+	2.48487i	0.296691	+	0.0794981i	0.404094	−	0.914717i	$-0.367587\pi$
$977$	9.27367	+	2.48487i	0.296691	+	0.0794981i	−0.107403	+	0.994216i	$0.534254\pi$
$978$	−0.641477	+	0.145981i	−0.0205122	+	0.00466796i
$979$	6.37397	+	23.7880i	0.203713	+	0.760267i
$980$	7.85944	−	29.5795i	0.251061	−	0.944882i
$981$	−22.6279	+	7.48752i	−0.722453	+	0.239058i
$982$	−45.2624	−	30.3397i	−1.44438	−	0.968178i
$983$	−10.3303	+	2.76800i	−0.329486	+	0.0882854i	−0.419770	−	0.907631i	$-0.637889\pi$
$983$	−10.3303	+	2.76800i	−0.329486	+	0.0882854i	0.0902840	+	0.995916i	$0.471223\pi$
$984$	−3.43035	−	38.0454i	−0.109356	−	1.21284i
$985$	−0.0430193	+	0.339976i	−0.00137071	+	0.0108325i
$986$	−34.2259	+	29.9265i	−1.08998	+	0.953054i
$987$	−2.22138	+	4.11774i	−0.0707074	+	0.131069i
$988$	23.2106	+	30.4333i	0.738426	+	0.968213i
$989$	−2.81671	−	2.81671i	−0.0895662	−	0.0895662i
$990$	−11.7475	+	15.1795i	−0.373361	+	0.482436i
$991$		−	15.4840i		−	0.491865i	−0.969287	−	0.245932i	$-0.920906\pi$
$991$		−	15.4840i		−	0.491865i	0.969287	−	0.245932i	$-0.0790942\pi$
$992$	1.45713	+	3.01031i	0.0462639	+	0.0955773i
$993$	−39.6785	+	42.0391i	−1.25916	+	1.33407i
$994$	−0.482594	+	7.20086i	−0.0153070	+	0.228397i
$995$	3.35663	+	0.424736i	0.106412	+	0.0134650i
$996$	28.6162	−	39.3671i	0.906740	−	1.24739i
$997$	−0.561939	+	0.973307i	−0.0177968	+	0.0308249i	−0.874787	−	0.484508i	$-0.838999\pi$
$997$	−0.561939	+	0.973307i	−0.0177968	+	0.0308249i	0.856990	+	0.515333i	$0.172332\pi$
$998$	4.22559	+	2.83244i	0.133759	+	0.0896592i
$999$	−17.5866	+	1.52748i	−0.556417	+	0.0483272i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	720.2.cp.c.43.17	✓	552
5.2	odd	4		720.2.ct.c.187.85	yes	552
9.4	even	3	inner	720.2.cp.c.283.108	yes	552
16.3	odd	4		720.2.ct.c.403.99	yes	552
45.22	odd	12		720.2.ct.c.427.99	yes	552
80.67	even	4	inner	720.2.cp.c.547.108	yes	552
144.67	odd	12		720.2.ct.c.643.85	yes	552
720.67	even	12	inner	720.2.cp.c.67.17	yes	552

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
720.2.cp.c.43.17	✓	552	1.1	even	1	trivial
720.2.cp.c.67.17	yes	552	720.67	even	12	inner
720.2.cp.c.283.108	yes	552	9.4	even	3	inner
720.2.cp.c.547.108	yes	552	80.67	even	4	inner
720.2.ct.c.187.85	yes	552	5.2	odd	4
720.2.ct.c.403.99	yes	552	16.3	odd	4
720.2.ct.c.427.99	yes	552	45.22	odd	12
720.2.ct.c.643.85	yes	552	144.67	odd	12

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:	\( N \)	\(=\)	\( 720 = 2^{4} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	720.cp (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.33849 - 0.456551i) q^{2} +(0.908977 + 1.47437i) q^{3} +(1.58312 + 1.22218i) q^{4} +(0.280705 - 2.21838i) q^{5} +(-0.543534 - 2.38842i) q^{6} +(-0.102332 - 0.381909i) q^{7} +(-1.56101 - 2.35865i) q^{8} +(-1.34752 + 2.68033i) q^{9} +(-1.38852 + 2.84113i) q^{10} +(-0.523657 - 1.95432i) q^{11} +(-0.362921 + 3.44504i) q^{12} +(1.45033 + 2.51204i) q^{13} +(-0.0373900 + 0.557902i) q^{14} +(3.52586 - 1.60259i) q^{15} +(1.01255 + 3.86972i) q^{16} +(3.83237 - 3.83237i) q^{17} +(3.02736 - 2.97239i) q^{18} +(4.66515 - 4.66515i) q^{19} +(3.15565 - 3.16889i) q^{20} +(0.470057 - 0.498022i) q^{21} +(-0.191333 + 2.85491i) q^{22} +(-0.581173 + 2.16897i) q^{23} +(2.05860 - 4.44546i) q^{24} +(-4.84241 - 1.24542i) q^{25} +(-0.794376 - 4.02449i) q^{26} +(-5.17666 + 0.449615i) q^{27} +(0.304757 - 0.729678i) q^{28} +(5.72951 - 1.53522i) q^{29} +(-5.45100 + 0.535321i) q^{30} +(-0.512008 + 0.295608i) q^{31} +(0.411428 - 5.64187i) q^{32} +(2.40539 - 2.54849i) q^{33} +(-6.87927 + 3.37993i) q^{34} +(-0.875945 + 0.119808i) q^{35} +(-5.40914 + 2.59638i) q^{36} +3.39729 q^{37} +(-8.37415 + 4.11439i) q^{38} +(-2.38536 + 4.42170i) q^{39} +(-5.67057 + 2.80082i) q^{40} +(6.75282 - 3.89874i) q^{41} +(-0.856540 + 0.451994i) q^{42} +(-0.886989 + 1.53631i) q^{43} +(1.55951 - 3.73392i) q^{44} +(5.56774 + 3.74170i) q^{45} +(1.76814 - 2.63781i) q^{46} +(-6.59923 + 1.76826i) q^{47} +(-4.78500 + 5.01036i) q^{48} +(5.92680 - 3.42184i) q^{49} +(5.91293 + 3.87779i) q^{50} +(9.13386 + 2.16679i) q^{51} +(-0.774118 + 5.74942i) q^{52} +9.09761i q^{53} +(7.13420 + 1.76160i) q^{54} +(-4.48240 + 0.613083i) q^{55} +(-0.741050 + 0.837531i) q^{56} +(11.1187 + 2.63764i) q^{57} +(-8.36981 - 0.560936i) q^{58} +(2.61465 - 9.75800i) q^{59} +(7.54053 + 1.77214i) q^{60} +(-0.00704976 - 0.0263101i) q^{61} +(0.820279 - 0.161911i) q^{62} +(1.16154 + 0.240347i) q^{63} +(-3.12649 + 7.36376i) q^{64} +(5.97977 - 2.51223i) q^{65} +(-4.38311 + 2.31295i) q^{66} +(2.60049 + 4.50418i) q^{67} +(10.7510 - 1.38327i) q^{68} +(-3.72613 + 1.11468i) q^{69} +(1.22714 + 0.239552i) q^{70} +12.9070 q^{71} +(8.42547 - 1.00569i) q^{72} +(3.53130 - 3.53130i) q^{73} +(-4.54725 - 1.55104i) q^{74} +(-2.56543 - 8.27155i) q^{75} +(13.0872 - 1.68385i) q^{76} +(-0.692784 + 0.399979i) q^{77} +(5.21151 - 4.82937i) q^{78} +(-6.33394 + 10.9707i) q^{79} +(8.86873 - 1.15998i) q^{80} +(-5.36837 - 7.22362i) q^{81} +(-10.8186 + 2.13543i) q^{82} +(-12.1672 - 7.02474i) q^{83} +(1.35283 - 0.213936i) q^{84} +(-7.42588 - 9.57742i) q^{85} +(1.88863 - 1.65138i) q^{86} +(7.47147 + 7.05193i) q^{87} +(-3.79212 + 4.28583i) q^{88} -12.1720 q^{89} +(-5.74409 - 7.55019i) q^{90} +(0.810955 - 0.810955i) q^{91} +(-3.57093 + 2.72344i) q^{92} +(-0.901239 - 0.486188i) q^{93} +(9.64031 + 0.646084i) q^{94} +(-9.03954 - 11.6586i) q^{95} +(8.69218 - 4.52173i) q^{96} +(-1.04642 - 3.90528i) q^{97} +(-9.49521 + 1.87422i) q^{98} +(5.94385 + 1.22991i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 552 q - 4 q^{2} - 4 q^{5} - 2 q^{6} - 10 q^{7} + 8 q^{8} - 24 q^{9} - 24 q^{10} - 2 q^{11} - 22 q^{12} + 6 q^{14} + 4 q^{16} + 22 q^{18} - 24 q^{19} - 10 q^{20} - 26 q^{21} - 12 q^{22} - 2 q^{23} + 24 q^{24}+ \cdots + 38 q^{99}+O(q^{100}) \) 552 * q - 4 * q^2 - 4 * q^5 - 2 * q^6 - 10 * q^7 + 8 * q^8 - 24 * q^9 - 24 * q^10 - 2 * q^11 - 22 * q^12 + 6 * q^14 + 4 * q^16 + 22 * q^18 - 24 * q^19 - 10 * q^20 - 26 * q^21 - 12 * q^22 - 2 * q^23 + 24 * q^24 + 6 * q^25 - 4 * q^26 - 24 * q^28 - 26 * q^29 - 12 * q^30 - 14 * q^32 - 2 * q^33 + 20 * q^34 + 8 * q^36 - 64 * q^37 - 46 * q^38 + 4 * q^40 + 28 * q^42 - 12 * q^43 + 32 * q^44 - 4 * q^46 - 2 * q^47 - 50 * q^48 - 4 * q^50 - 8 * q^51 - 10 * q^52 + 26 * q^54 + 36 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 - 30 * q^59 - 72 * q^60 - 14 * q^61 - 32 * q^62 - 18 * q^63 - 24 * q^64 + 18 * q^65 + 14 * q^66 + 12 * q^67 - 50 * q^68 - 6 * q^69 - 18 * q^70 - 32 * q^71 + 62 * q^72 + 48 * q^73 - 64 * q^74 + 22 * q^75 - 28 * q^76 + 2 * q^78 + 40 * q^79 - 172 * q^80 - 88 * q^81 - 20 * q^82 + 60 * q^84 + 2 * q^85 + 6 * q^86 + 14 * q^87 + 6 * q^88 - 86 * q^90 - 28 * q^91 + 16 * q^92 - 8 * q^93 + 30 * q^94 + 6 * q^95 - 40 * q^96 - 18 * q^97 + 68 * q^98 + 38 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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