LMFDB - Embedded newform 930.2.bo.b.179.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (of order $30$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			179.16
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.b.239.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-0.145674 + 1.72591i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23544 - 0.0527903i) q^{5} +(1.68646 - 0.394792i) q^{6} +(-0.915394 + 2.05601i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.95756 - 0.502843i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.145674 + 1.72591i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23544 - 0.0527903i) q^{5} +(1.68646 - 0.394792i) q^{6} +(-0.915394 + 2.05601i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.95756 - 0.502843i) q^{9} +(0.640584 + 2.14235i) q^{10} +(-0.299571 - 2.85023i) q^{11} +(-0.896614 - 1.48192i) q^{12} +(-1.05181 - 1.16815i) q^{13} +(2.23825 + 0.235250i) q^{14} +(0.416759 - 3.85050i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.39425 + 0.251645i) q^{17} +(0.435704 + 2.96819i) q^{18} +(-3.82724 + 4.25058i) q^{19} +(1.83954 - 1.27125i) q^{20} +(-3.41514 - 1.87940i) q^{21} +(-2.61815 + 1.16568i) q^{22} +(2.78796 - 3.83730i) q^{23} +(-1.13232 + 1.31067i) q^{24} +(4.99443 + 0.236020i) q^{25} +(-0.785953 + 1.36131i) q^{26} +(1.29870 - 5.03124i) q^{27} +(-0.467922 - 2.20140i) q^{28} +(0.0176006 + 0.0541692i) q^{29} +(-3.79082 + 0.793508i) q^{30} +(0.338849 - 5.55744i) q^{31} -1.00000 q^{32} +(4.96289 - 0.101829i) q^{33} +(-0.500534 - 2.35483i) q^{34} +(2.15485 - 4.54777i) q^{35} +(2.68828 - 1.33160i) q^{36} +(1.20950 + 2.09492i) q^{37} +(5.22523 + 2.32642i) q^{38} +(2.16936 - 1.64516i) q^{39} +(-1.77748 - 1.35667i) q^{40} +(2.37344 - 11.1661i) q^{41} +(-0.732077 + 3.82876i) q^{42} +(0.584653 - 0.649323i) q^{43} +(1.91768 + 2.12980i) q^{44} +(6.58491 + 1.28021i) q^{45} +(-4.51102 - 1.46572i) q^{46} +(1.82775 - 5.62525i) q^{47} +(1.59643 + 0.671881i) q^{48} +(1.29469 + 1.43790i) q^{49} +(-1.31889 - 4.82292i) q^{50} +(-0.783099 + 4.09560i) q^{51} +(1.53756 + 0.326818i) q^{52} +(1.63309 + 3.66799i) q^{53} +(-5.18631 + 0.319597i) q^{54} +(0.519210 + 6.38734i) q^{55} +(-1.94906 + 1.12529i) q^{56} +(-6.77861 - 7.22469i) q^{57} +(0.0460790 - 0.0334784i) q^{58} +(-1.30144 - 6.12278i) q^{59} +(1.92610 + 3.36008i) q^{60} -2.80997i q^{61} +(-5.39015 + 1.39508i) q^{62} +(3.74118 - 5.62046i) q^{63} +(0.309017 + 0.951057i) q^{64} +(2.28960 + 2.66687i) q^{65} +(-1.63046 - 4.68852i) q^{66} +(-0.504557 - 0.291306i) q^{67} +(-2.08490 + 1.20372i) q^{68} +(6.21672 + 5.37078i) q^{69} +(-4.99107 - 0.644046i) q^{70} +(-6.26217 - 14.0651i) q^{71} +(-2.09715 - 2.14522i) q^{72} +(0.116659 + 1.10994i) q^{73} +(1.61863 - 1.79767i) q^{74} +(-1.13491 + 8.58557i) q^{75} +(0.597874 - 5.68839i) q^{76} +(6.13431 + 1.99316i) q^{77} +(-2.23501 - 1.55480i) q^{78} +(-7.24605 - 0.761591i) q^{79} +(-0.740997 + 2.10972i) q^{80} +(8.49430 + 2.97437i) q^{81} +(-11.3531 + 1.19326i) q^{82} +(-0.684607 + 3.22082i) q^{83} +(3.86759 - 0.486906i) q^{84} +(-5.33892 - 0.688932i) q^{85} +(-0.798210 - 0.355386i) q^{86} +(-0.0960553 + 0.0224861i) q^{87} +(1.43296 - 2.48197i) q^{88} +(-0.798091 + 0.579847i) q^{89} +(-0.817300 - 6.65823i) q^{90} +(3.36456 - 1.09321i) q^{91} +4.74317i q^{92} +(9.54231 + 1.39440i) q^{93} -5.91474 q^{94} +(8.77998 - 9.29990i) q^{95} +(0.145674 - 1.72591i) q^{96} +(0.0646535 + 0.0889879i) q^{97} +(0.967444 - 1.67566i) q^{98} +(-0.547218 + 8.58035i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	$ 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−0.145674	+	1.72591i	−0.0841051	+	0.996457i
$3$	−0.145674	+	1.72591i	−0.0841051	+	0.996457i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−2.23544	−	0.0527903i	−0.999721	−	0.0236085i
$5$	−2.23544	−	0.0527903i	−0.999721	−	0.0236085i
$6$	1.68646	−	0.394792i	0.688493	−	0.161173i
$7$	−0.915394	+	2.05601i	−0.345986	+	0.777098i	0.653805	+	0.756663i	$0.273172\pi$
$7$	−0.915394	+	2.05601i	−0.345986	+	0.777098i	−0.999791	+	0.0204347i	$0.993495\pi$
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	−2.95756	−	0.502843i	−0.985853	−	0.167614i
$10$	0.640584	+	2.14235i	0.202570	+	0.677470i
$11$	−0.299571	−	2.85023i	−0.0903240	−	0.859376i	−0.942069	−	0.335419i	$-0.891122\pi$
$11$	−0.299571	−	2.85023i	−0.0903240	−	0.859376i	0.851745	−	0.523957i	$-0.175545\pi$
$12$	−0.896614	−	1.48192i	−0.258830	−	0.427793i
$13$	−1.05181	−	1.16815i	−0.291720	−	0.323988i	0.579414	−	0.815033i	$-0.303281\pi$
$13$	−1.05181	−	1.16815i	−0.291720	−	0.323988i	−0.871134	+	0.491046i	$0.836615\pi$
$14$	2.23825	+	0.235250i	0.598198	+	0.0628731i
$15$	0.416759	−	3.85050i	0.107607	−	0.994194i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	2.39425	+	0.251645i	0.580690	+	0.0610330i	0.390320	−	0.920679i	$-0.372364\pi$
$17$	2.39425	+	0.251645i	0.580690	+	0.0610330i	0.190370	+	0.981712i	$0.439031\pi$
$18$	0.435704	+	2.96819i	0.102696	+	0.699610i
$19$	−3.82724	+	4.25058i	−0.878030	+	0.975151i	−0.999849	−	0.0174017i	$-0.994461\pi$
$19$	−3.82724	+	4.25058i	−0.878030	+	0.975151i	0.121819	+	0.992552i	$0.461127\pi$
$20$	1.83954	−	1.27125i	0.411334	−	0.284261i
$21$	−3.41514	−	1.87940i	−0.745245	−	0.410118i
$22$	−2.61815	+	1.16568i	−0.558192	+	0.248523i
$23$	2.78796	−	3.83730i	0.581330	−	0.800133i	−0.412510	−	0.910953i	$-0.635348\pi$
$23$	2.78796	−	3.83730i	0.581330	−	0.800133i	0.993840	+	0.110820i	$0.0353478\pi$
$24$	−1.13232	+	1.31067i	−0.231134	+	0.267539i
$25$	4.99443	+	0.236020i	0.998885	+	0.0472039i
$26$	−0.785953	+	1.36131i	−0.154138	+	0.266975i
$27$	1.29870	−	5.03124i	0.249936	−	0.968262i
$28$	−0.467922	−	2.20140i	−0.0884289	−	0.416025i
$29$	0.0176006	+	0.0541692i	0.00326835	+	0.0100590i	0.952677	−	0.303983i	$-0.0983167\pi$
$29$	0.0176006	+	0.0541692i	0.00326835	+	0.0100590i	−0.949409	+	0.314042i	$0.898317\pi$
$30$	−3.79082	+	0.793508i	−0.692107	+	0.144874i
$31$	0.338849	−	5.55744i	0.0608591	−	0.998146i
$31$	0.338849	−	5.55744i	0.0608591	−	0.998146i
$32$	−1.00000			−0.176777
$33$	4.96289	−	0.101829i	0.863928	−	0.0177261i
$34$	−0.500534	−	2.35483i	−0.0858408	−	0.403849i
$35$	2.15485	−	4.54777i	0.364236	−	0.768713i
$36$	2.68828	−	1.33160i	0.448046	−	0.221933i
$37$	1.20950	+	2.09492i	0.198841	+	0.344403i	0.948153	−	0.317814i	$-0.102949\pi$
$37$	1.20950	+	2.09492i	0.198841	+	0.344403i	−0.749312	+	0.662217i	$0.769616\pi$
$38$	5.22523	+	2.32642i	0.847644	+	0.377395i
$39$	2.16936	−	1.64516i	0.347375	−	0.263437i
$40$	−1.77748	−	1.35667i	−0.281045	−	0.214508i
$41$	2.37344	−	11.1661i	0.370669	−	1.74386i	−0.257962	−	0.966155i	$-0.583051\pi$
$41$	2.37344	−	11.1661i	0.370669	−	1.74386i	0.628631	−	0.777704i	$-0.283616\pi$
$42$	−0.732077	+	3.82876i	−0.112962	+	0.590790i
$43$	0.584653	−	0.649323i	0.0891587	−	0.0990208i	−0.696914	−	0.717154i	$-0.745444\pi$
$43$	0.584653	−	0.649323i	0.0891587	−	0.0990208i	0.786073	+	0.618134i	$0.212111\pi$
$44$	1.91768	+	2.12980i	0.289101	+	0.321079i
$45$	6.58491	+	1.28021i	0.981621	+	0.190842i
$46$	−4.51102	−	1.46572i	−0.665113	−	0.216108i
$47$	1.82775	−	5.62525i	0.266605	−	0.820527i	−0.724714	−	0.689050i	$-0.758028\pi$
$47$	1.82775	−	5.62525i	0.266605	−	0.820527i	0.991319	−	0.131477i	$-0.0419719\pi$
$48$	1.59643	+	0.671881i	0.230424	+	0.0969777i
$49$	1.29469	+	1.43790i	0.184956	+	0.205415i
$50$	−1.31889	−	4.82292i	−0.186520	−	0.682063i
$51$	−0.783099	+	4.09560i	−0.109656	+	0.573499i
$52$	1.53756	+	0.326818i	0.213221	+	0.0453215i
$53$	1.63309	+	3.66799i	0.224323	+	0.503837i	0.990286	−	0.139048i	$-0.0444042\pi$
$53$	1.63309	+	3.66799i	0.224323	+	0.503837i	−0.765963	+	0.642884i	$0.777738\pi$
$54$	−5.18631	+	0.319597i	−0.705768	+	0.0434917i
$55$	0.519210	+	6.38734i	0.0700103	+	0.861269i
$56$	−1.94906	+	1.12529i	−0.260454	+	0.150373i
$57$	−6.77861	−	7.22469i	−0.897849	−	0.956934i
$58$	0.0460790	−	0.0334784i	0.00605047	−	0.00439593i
$59$	−1.30144	−	6.12278i	−0.169433	−	0.797118i	−0.977982	−	0.208690i	$-0.933080\pi$
$59$	−1.30144	−	6.12278i	−0.169433	−	0.797118i	0.808549	−	0.588429i	$-0.200253\pi$
$60$	1.92610	+	3.36008i	0.248658	+	0.433785i
$61$		−	2.80997i		−	0.359780i	−0.983687	−	0.179890i	$-0.942426\pi$
$61$		−	2.80997i		−	0.359780i	0.983687	−	0.179890i	$-0.0575741\pi$
$62$	−5.39015	+	1.39508i	−0.684550	+	0.177175i
$63$	3.74118	−	5.62046i	0.471344	−	0.708112i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	2.28960	+	2.66687i	0.283990	+	0.330784i
$66$	−1.63046	−	4.68852i	−0.200696	−	0.577117i
$67$	−0.504557	−	0.291306i	−0.0616415	−	0.0355887i	0.468863	−	0.883271i	$-0.344664\pi$
$67$	−0.504557	−	0.291306i	−0.0616415	−	0.0355887i	−0.530504	+	0.847682i	$0.677997\pi$
$68$	−2.08490	+	1.20372i	−0.252831	+	0.145972i
$69$	6.21672	+	5.37078i	0.748405	+	0.646566i
$70$	−4.99107	−	0.644046i	−0.596547	−	0.0769782i
$71$	−6.26217	−	14.0651i	−0.743183	−	1.66922i	−0.743067	−	0.669217i	$-0.766630\pi$
$71$	−6.26217	−	14.0651i	−0.743183	−	1.66922i	−0.000115734	−	1.00000i	$-0.500037\pi$
$72$	−2.09715	−	2.14522i	−0.247152	−	0.252816i
$73$	0.116659	+	1.10994i	0.0136539	+	0.129908i	0.999225	−	0.0393512i	$-0.0125291\pi$
$73$	0.116659	+	1.10994i	0.0136539	+	0.129908i	−0.985572	+	0.169259i	$0.945862\pi$
$74$	1.61863	−	1.79767i	0.188162	−	0.208975i
$75$	−1.13491	+	8.58557i	−0.131048	+	0.991376i
$76$	0.597874	−	5.68839i	0.0685808	−	0.652503i
$77$	6.13431	+	1.99316i	0.699070	+	0.227142i
$78$	−2.23501	−	1.55480i	−0.253065	−	0.176046i
$79$	−7.24605	−	0.761591i	−0.815245	−	0.0856857i	−0.312277	−	0.949991i	$-0.601092\pi$
$79$	−7.24605	−	0.761591i	−0.815245	−	0.0856857i	−0.502967	+	0.864305i	$0.667758\pi$
$80$	−0.740997	+	2.10972i	−0.0828460	+	0.235874i
$81$	8.49430	+	2.97437i	0.943811	+	0.330486i
$82$	−11.3531	+	1.19326i	−1.25374	+	0.131773i
$83$	−0.684607	+	3.22082i	−0.0751453	+	0.353531i	−0.999616	−	0.0277230i	$-0.991174\pi$
$83$	−0.684607	+	3.22082i	−0.0751453	+	0.353531i	0.924470	+	0.381254i	$0.124508\pi$
$84$	3.86759	−	0.486906i	0.421989	−	0.0531257i
$85$	−5.33892	−	0.688932i	−0.579087	−	0.0747252i
$86$	−0.798210	−	0.355386i	−0.0860732	−	0.0383223i
$87$	−0.0960553	+	0.0224861i	−0.0102982	+	0.00241076i
$88$	1.43296	−	2.48197i	0.152754	−	0.264578i
$89$	−0.798091	+	0.579847i	−0.0845975	+	0.0614636i	−0.629280	−	0.777179i	$-0.716650\pi$
$89$	−0.798091	+	0.579847i	−0.0845975	+	0.0614636i	0.544683	+	0.838642i	$0.316650\pi$
$90$	−0.817300	−	6.65823i	−0.0861510	−	0.701839i
$91$	3.36456	−	1.09321i	0.352701	−	0.114600i
$92$			4.74317i			0.494509i
$93$	9.54231	+	1.39440i	0.989491	+	0.144593i
$94$	−5.91474			−0.610058
$95$	8.77998	−	9.29990i	0.900807	−	0.954150i
$96$	0.145674	−	1.72591i	0.0148678	−	0.176150i
$97$	0.0646535	+	0.0889879i	0.00656457	+	0.00903536i	0.812287	−	0.583258i	$-0.198222\pi$
$97$	0.0646535	+	0.0889879i	0.00656457	+	0.00903536i	−0.805722	+	0.592294i	$0.798222\pi$
$98$	0.967444	−	1.67566i	0.0977266	−	0.169267i
$99$	−0.547218	+	8.58035i	−0.0549975	+	0.862358i
$100$	−4.17930	+	2.74471i	−0.417930	+	0.274471i
$101$	−6.01588	+	8.28015i	−0.598602	+	0.823905i	−0.995579	−	0.0939232i	$-0.970059\pi$
$101$	−6.01588	+	8.28015i	−0.598602	+	0.823905i	0.396977	+	0.917828i	$0.370059\pi$
$102$	4.13714	−	0.520840i	0.409638	−	0.0515709i
$103$	−0.292083	+	1.37414i	−0.0287798	+	0.135398i	−0.990192	−	0.139714i	$-0.955382\pi$
$103$	−0.292083	+	1.37414i	−0.0287798	+	0.135398i	0.961412	+	0.275112i	$0.0887150\pi$
$104$	−0.164309	−	1.56330i	−0.0161118	−	0.153294i
$105$	7.53515	+	4.38158i	0.735355	+	0.427598i
$106$	2.98381	−	2.68663i	0.289813	−	0.260949i
$107$	1.07551	−	10.2328i	0.103974	−	0.989243i	−0.810813	−	0.585305i	$-0.800975\pi$
$107$	1.07551	−	10.2328i	0.103974	−	0.989243i	0.914787	−	0.403938i	$-0.132359\pi$
$108$	1.90661	+	4.83372i	0.183464	+	0.465125i
$109$	5.77446	−	17.7720i	0.553093	−	1.70225i	−0.147833	−	0.989012i	$-0.547230\pi$
$109$	5.77446	−	17.7720i	0.553093	−	1.70225i	0.700927	−	0.713233i	$-0.252770\pi$
$110$	5.91428	−	2.46759i	0.563904	−	0.235276i
$111$	−3.79185	+	1.78232i	−0.359906	+	0.169171i
$112$	1.67251	+	1.50593i	0.158037	+	0.142297i
$113$	0.129350	+	1.23068i	0.0121682	+	0.115773i	0.998920	−	0.0464650i	$-0.0147956\pi$
$113$	0.129350	+	1.23068i	0.0121682	+	0.115773i	−0.986752	+	0.162238i	$0.948129\pi$
$114$	−4.77638	+	8.67939i	−0.447349	+	0.812900i
$115$	−6.43491	+	8.43090i	−0.600058	+	0.786185i
$116$	−0.0460790	−	0.0334784i	−0.00427833	−	0.00310839i
$117$	2.52339	+	3.98378i	0.233288	+	0.368301i
$118$	−5.42094	+	3.12978i	−0.499038	+	0.288120i
$119$	−2.70906	+	4.69223i	−0.248339	+	0.430136i
$120$	2.60043	−	2.87015i	0.237386	−	0.262008i
$121$	2.72557	−	0.579338i	0.247779	−	0.0526671i
$122$	−2.67244	+	0.868328i	−0.241951	+	0.0786148i
$123$	18.9261	+	5.72297i	1.70651	+	0.516023i
$124$	2.99245	+	4.69524i	0.268730	+	0.421645i
$125$	−11.1523	−	0.791266i	−0.997492	−	0.0707730i
$126$	−6.50147	−	1.82125i	−0.579197	−	0.162250i
$127$	−18.6974	+	3.97425i	−1.65913	+	0.352658i	−0.939723	−	0.341936i	$-0.888917\pi$
$127$	−18.6974	+	3.97425i	−1.65913	+	0.352658i	−0.719402	+	0.694594i	$0.755584\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	1.03551	+	1.10365i	0.0911712	+	0.0971710i
$130$	1.82882	−	3.00165i	0.160398	−	0.263262i
$131$	−4.31090	+	9.68243i	−0.376645	+	0.845958i	0.621402	+	0.783492i	$0.286563\pi$
$131$	−4.31090	+	9.68243i	−0.376645	+	0.845958i	−0.998047	+	0.0624663i	$0.980103\pi$
$132$	−3.95521	+	2.99949i	−0.344257	+	0.261072i
$133$	−5.23580	−	11.7598i	−0.454001	−	1.01970i
$134$	−0.121132	+	0.569881i	−0.0104642	+	0.0492302i
$135$	−3.16878	+	11.1785i	−0.272725	+	0.962092i
$136$	1.78907	+	1.61089i	0.153412	+	0.138132i
$137$	−9.94390	+	8.95352i	−0.849564	+	0.764951i	−0.973825	−	0.227298i	$-0.927011\pi$
$137$	−9.94390	+	8.95352i	−0.849564	+	0.764951i	0.124261	+	0.992250i	$0.460344\pi$
$138$	3.18684	−	7.57211i	0.271282	−	0.644581i
$139$	8.11806	+	2.63772i	0.688565	+	0.223728i	0.632341	−	0.774690i	$-0.282094\pi$
$139$	8.11806	+	2.63772i	0.688565	+	0.223728i	0.0562234	+	0.998418i	$0.482094\pi$
$140$	0.929801	+	4.94581i	0.0785825	+	0.417997i
$141$	9.44244	+	3.97400i	0.795197	+	0.334671i
$142$	−11.4416	+	10.3020i	−0.960154	+	0.864527i
$143$	−3.01441	+	3.34785i	−0.252078	+	0.279961i
$144$	−1.39217	+	2.65742i	−0.116014	+	0.221451i
$145$	−0.0364856	−	0.122021i	−0.00302997	−	0.0101333i
$146$	1.01956	−	0.453938i	0.0843796	−	0.0375682i
$147$	−2.67030	+	2.02506i	−0.220242	+	0.167024i
$148$	−2.20987	−	0.983899i	−0.181651	−	0.0808760i
$149$	−3.13621	+	1.81069i	−0.256928	+	0.148337i	−0.622932	−	0.782276i	$-0.714059\pi$
$149$	−3.13621	+	1.81069i	−0.256928	+	0.148337i	0.366004	+	0.930613i	$0.380726\pi$
$150$	8.51607	−	1.57372i	0.695334	−	0.128494i
$151$	−12.3787	−	17.0378i	−1.00736	−	1.38652i	−0.920696	−	0.390280i	$-0.872378\pi$
$151$	−12.3787	−	17.0378i	−1.00736	−	1.38652i	−0.0866673	−	0.996237i	$-0.527622\pi$
$152$	−5.59473	+	1.18920i	−0.453793	+	0.0964567i
$153$	−6.95458	−	1.94819i	−0.562245	−	0.157501i
$154$		−	6.45000i		−	0.519756i
$155$	−1.05086	+	12.4055i	−0.0844069	+	0.996431i
$156$	−0.788042	+	2.60608i	−0.0630939	+	0.208654i
$157$	4.23001	−	1.37441i	0.337591	−	0.109690i	−0.135315	−	0.990803i	$-0.543205\pi$
$157$	4.23001	−	1.37441i	0.337591	−	0.109690i	0.472907	+	0.881112i	$0.343205\pi$
$158$	1.51484	+	7.12675i	0.120514	+	0.566974i
$159$	−6.56853	+	2.28425i	−0.520918	+	0.181152i
$160$	2.23544	+	0.0527903i	0.176727	+	0.00417344i
$161$	5.33744	+	9.24471i	0.420649	+	0.728585i
$162$	0.203915	−	8.99769i	0.0160211	−	0.706925i
$163$	−11.7953	+	16.2348i	−0.923879	+	1.27161i	0.0383206	+	0.999265i	$0.487799\pi$
$163$	−11.7953	+	16.2348i	−0.923879	+	1.27161i	−0.962200	+	0.272345i	$0.912201\pi$
$164$	4.64314	+	10.4287i	0.362569	+	0.814343i
$165$	−11.0996	−	0.0343600i	−0.864105	−	0.00267492i
$166$	3.27474	−	0.344189i	0.254169	−	0.0267142i
$167$	−1.57810	−	1.42092i	−0.122117	−	0.109954i	0.605810	−	0.795609i	$-0.292849\pi$
$167$	−1.57810	−	1.42092i	−0.122117	−	0.109954i	−0.727927	+	0.685655i	$0.759516\pi$
$168$	−1.65823	−	3.52784i	−0.127935	−	0.272178i
$169$	1.10059	−	10.4714i	0.0846609	−	0.805495i
$170$	0.994603	+	5.29051i	0.0762826	+	0.405763i
$171$	13.4567	−	10.6468i	1.02906	−	0.814185i
$172$	−0.0913317	+	0.868963i	−0.00696398	+	0.0662578i
$173$	−10.5938	−	11.7656i	−0.805433	−	0.894524i	0.190765	−	0.981636i	$-0.438903\pi$
$173$	−10.5938	−	11.7656i	−0.805433	−	0.894524i	−0.996199	+	0.0871115i	$0.972236\pi$
$174$	0.0510683	+	0.0844054i	0.00387148	+	0.00639876i
$175$	−5.05712	+	10.0525i	−0.382283	+	0.759900i
$176$	−2.80330	−	0.595860i	−0.211307	−	0.0449146i
$177$	10.7570	−	1.35424i	0.808544	−	0.101791i
$178$	0.798091	+	0.579847i	0.0598194	+	0.0434614i
$179$	−16.3115	−	7.26236i	−1.21918	−	0.542815i	−0.306651	−	0.951822i	$-0.599208\pi$
$179$	−16.3115	−	7.26236i	−1.21918	−	0.542815i	−0.912531	+	0.409008i	$0.865875\pi$
$180$	−6.07979	+	2.83480i	−0.453161	+	0.211294i
$181$	4.75616	+	2.74597i	0.353522	+	0.204106i	0.666236	−	0.745741i	$-0.267905\pi$
$181$	4.75616	+	2.74597i	0.353522	+	0.204106i	−0.312713	+	0.949848i	$0.601238\pi$
$182$	−2.07941	−	2.86206i	−0.154136	−	0.212150i
$183$	4.84977	+	0.409341i	0.358505	+	0.0302593i
$184$	4.51102	−	1.46572i	0.332557	−	0.108054i
$185$	−2.59319	−	4.74693i	−0.190655	−	0.349002i
$186$	−1.62258	−	9.50617i	−0.118973	−	0.697026i
$187$		−	6.89953i		−	0.504544i
$188$	1.82775	+	5.62525i	0.133303	+	0.410263i
$189$	9.15544	+	7.27571i	0.665960	+	0.529230i
$190$	−11.5579	−	5.47643i	−0.838498	−	0.397302i
$191$	12.6520	+	7.30462i	0.915464	+	0.528544i	0.882185	−	0.470902i	$-0.156072\pi$
$191$	12.6520	+	7.30462i	0.915464	+	0.528544i	0.0332791	+	0.999446i	$0.489405\pi$
$192$	−1.68646	+	0.394792i	−0.121710	+	0.0284917i
$193$	8.11902	−	18.2356i	0.584420	−	1.31263i	−0.343255	−	0.939242i	$-0.611530\pi$
$193$	8.11902	−	18.2356i	0.584420	−	1.31263i	0.927676	−	0.373387i	$-0.121804\pi$
$194$	0.0646535	−	0.0889879i	0.00464185	−	0.00638896i
$195$	−4.93632	+	3.56315i	−0.353497	+	0.255163i
$196$	−1.89261	−	0.402286i	−0.135186	−	0.0287347i
$197$	0.0975050	−	0.0102482i	0.00694695	−	0.000730153i	−0.101054	−	0.994881i	$-0.532222\pi$
$197$	0.0975050	−	0.0102482i	0.00694695	−	0.000730153i	0.108001	+	0.994151i	$0.465555\pi$
$198$	8.32950	−	2.13104i	0.591952	−	0.151446i
$199$	6.98757	−	6.29163i	0.495335	−	0.446002i	−0.383210	−	0.923661i	$-0.625181\pi$
$199$	6.98757	−	6.29163i	0.495335	−	0.446002i	0.878545	+	0.477659i	$0.158515\pi$
$200$	3.90185	+	3.12659i	0.275902	+	0.221084i
$201$	0.576271	−	0.828387i	0.0406470	−	0.0584299i
$202$	9.73389	+	3.16273i	0.684874	+	0.222529i
$203$	−0.127484	−	0.0133991i	−0.00894760	−	0.000940431i
$204$	−1.77380	−	3.77371i	−0.124191	−	0.264212i
$205$	−5.89515	+	24.8360i	−0.411735	+	1.73462i
$206$	1.39714	−	0.146846i	0.0973437	−	0.0102312i
$207$	−10.1751	+	9.94713i	−0.707220	+	0.691374i
$208$	−1.43601	+	0.639352i	−0.0995693	+	0.0443311i
$209$	13.2617	+	9.63516i	0.917328	+	0.666478i
$210$	1.83864	−	8.52033i	0.126878	−	0.587959i
$211$	−5.22435	−	9.04884i	−0.359659	−	0.622948i	0.628245	−	0.778016i	$-0.283774\pi$
$211$	−5.22435	−	9.04884i	−0.359659	−	0.622948i	−0.987904	+	0.155068i	$0.950440\pi$
$212$	−3.47719	−	2.00756i	−0.238814	−	0.137879i
$213$	25.1873	−	8.75905i	1.72581	−	0.600160i
$214$	−10.0643	+	2.13924i	−0.687984	+	0.146235i
$215$	−1.34124	+	1.42066i	−0.0914716	+	0.0968883i
$216$	4.00796	−	3.30700i	0.272707	−	0.225013i
$217$	11.1160	+	5.78392i	0.754601	+	0.392638i
$218$	−18.6866			−1.26561
$219$	−1.93265	+	0.0396541i	−0.130596	+	0.00267958i
$220$	−4.17443	−	4.86228i	−0.281440	−	0.327815i
$221$	−2.22433	−	3.06153i	−0.149625	−	0.205941i
$222$	2.86684	+	3.05550i	0.192409	+	0.205071i
$223$	12.6905	+	21.9805i	0.849816	+	1.47193i	0.881372	+	0.472423i	$0.156621\pi$
$223$	12.6905	+	21.9805i	0.849816	+	1.47193i	−0.0315554	+	0.999502i	$0.510046\pi$
$224$	0.915394	−	2.05601i	0.0611623	−	0.137373i
$225$	−14.6526	−	3.20945i	−0.976842	−	0.213964i
$226$	1.13047	−	0.503319i	0.0751980	−	0.0334803i
$227$	20.8684	+	4.43571i	1.38508	+	0.294409i	0.839369	−	0.543562i	$-0.182925\pi$
$227$	20.8684	+	4.43571i	1.38508	+	0.294409i	0.545715	+	0.837971i	$0.316258\pi$
$228$	9.73058	+	1.86053i	0.644423	+	0.123217i
$229$	17.4513	+	15.7132i	1.15321	+	1.03836i	0.998731	+	0.0503635i	$0.0160380\pi$
$229$	17.4513	+	15.7132i	1.15321	+	1.03836i	0.154483	+	0.987995i	$0.450629\pi$
$230$	10.0068	+	3.51467i	0.659826	+	0.231751i
$231$	−4.33363	+	10.2969i	−0.285132	+	0.677489i
$232$	−0.0176006	+	0.0541692i	−0.00115554	+	0.00355638i
$233$	−5.62150	+	17.3012i	−0.368277	+	1.13344i	0.579627	+	0.814882i	$0.303198\pi$
$233$	−5.62150	+	17.3012i	−0.368277	+	1.13344i	−0.947904	+	0.318557i	$0.896802\pi$
$234$	3.00903	−	3.63095i	0.196706	−	0.237362i
$235$	−4.38280	+	12.4784i	−0.285902	+	0.814004i
$236$	4.65177	+	4.18847i	0.302804	+	0.272646i
$237$	2.37000	−	12.3951i	0.153948	−	0.805150i
$238$	5.29972	+	1.12649i	0.343530	+	0.0730196i
$239$	3.18163	−	1.41656i	0.205803	−	0.0916293i	−0.301247	−	0.953546i	$-0.597403\pi$
$239$	3.18163	−	1.41656i	0.205803	−	0.0916293i	0.507050	+	0.861917i	$0.330736\pi$
$240$	−3.53325	−	1.58623i	−0.228070	−	0.102391i
$241$	−0.184664	+	0.414762i	−0.0118953	+	0.0267172i	−0.919395	−	0.393335i	$-0.871321\pi$
$241$	−0.184664	+	0.414762i	−0.0118953	+	0.0267172i	0.907500	+	0.420052i	$0.137988\pi$
$242$	−1.39323	−	2.41315i	−0.0895602	−	0.155123i
$243$	−6.37092	+	14.2271i	−0.408694	+	0.912671i
$244$	1.65166	+	2.27331i	0.105737	+	0.145534i
$245$	−2.81831	−	3.28270i	−0.180055	−	0.209724i
$246$	−0.405605	−	19.7682i	−0.0258604	−	1.26038i
$247$	8.99087			0.572076
$248$	3.54072	−	4.29690i	0.224836	−	0.272853i
$249$	−5.45913	−	1.65076i	−0.345958	−	0.104613i
$250$	2.69371	+	10.8510i	0.170365	+	0.686277i
$251$	−23.9852	+	5.09820i	−1.51393	+	0.321796i	−0.888643	−	0.458599i	$-0.848351\pi$
$251$	−23.9852	+	5.09820i	−1.51393	+	0.321796i	−0.625287	+	0.780395i	$0.715018\pi$
$252$	0.276948	+	6.74606i	0.0174461	+	0.424962i
$253$	−11.7724	−	6.79678i	−0.740123	−	0.427310i
$254$	9.55755	+	16.5542i	0.599694	+	1.03870i
$255$	1.96678	−	9.11416i	0.123165	−	0.570751i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	13.5520	−	6.03376i	0.845353	−	0.376375i	0.0620935	−	0.998070i	$-0.480222\pi$
$257$	13.5520	−	6.03376i	0.845353	−	0.376375i	0.783259	+	0.621695i	$0.213556\pi$
$258$	0.729645	−	1.32587i	0.0454257	−	0.0825452i
$259$	−5.41435	+	0.569071i	−0.336431	+	0.0353604i
$260$	−3.41987	−	0.811751i	−0.212091	−	0.0503427i
$261$	−0.0248163	−	0.169059i	−0.00153609	−	0.0104645i
$262$	10.5407	+	1.10787i	0.651205	+	0.0684444i
$263$	−16.5242	−	5.36905i	−1.01893	−	0.331070i	−0.248524	−	0.968626i	$-0.579946\pi$
$263$	−16.5242	−	5.36905i	−1.01893	−	0.331070i	−0.770404	+	0.637556i	$0.779946\pi$
$264$	4.07491	+	2.83473i	0.250794	+	0.174466i
$265$	−3.45705	−	8.28579i	−0.212365	−	0.508992i
$266$	−9.56628	+	8.61352i	−0.586546	+	0.528129i
$267$	−0.884504	−	1.46190i	−0.0541308	−	0.0894671i
$268$	0.579421	−	0.0608996i	0.0353938	−	0.00372003i
$269$	9.10518	+	1.93537i	0.555153	+	0.118001i	0.476941	−	0.878935i	$-0.341746\pi$
$269$	9.10518	+	1.93537i	0.555153	+	0.118001i	0.0782118	+	0.996937i	$0.475079\pi$
$270$	11.6106	−	0.440656i	0.706598	−	0.0268174i
$271$	8.32850	−	11.4632i	0.505920	−	0.696339i	−0.477304	−	0.878738i	$-0.658386\pi$
$271$	8.32850	−	11.4632i	0.505920	−	0.696339i	0.983225	+	0.182399i	$0.0583861\pi$
$272$	0.979192	−	2.19930i	0.0593722	−	0.133352i
$273$	1.39666	+	5.96619i	0.0845295	+	0.361090i
$274$	11.5881	+	6.69042i	0.700065	+	0.404183i
$275$	−0.823476	−	14.3060i	−0.0496575	−	0.862682i
$276$	−8.18630	−	0.690958i	−0.492757	−	0.0415908i
$277$	−8.53645	−	26.2725i	−0.512905	−	1.57856i	−0.787061	−	0.616875i	$-0.788398\pi$
$277$	−8.53645	−	26.2725i	−0.512905	−	1.57856i	0.274156	−	0.961685i	$-0.411602\pi$
$278$		−	8.53583i		−	0.511945i
$279$	−3.79669	+	16.2661i	−0.227302	+	0.973824i
$280$	4.41642	−	2.41263i	0.263932	−	0.144182i
$281$	26.2977	−	8.54463i	1.56879	−	0.509730i	0.609650	−	0.792671i	$-0.291310\pi$
$281$	26.2977	−	8.54463i	1.56879	−	0.509730i	0.959137	+	0.282941i	$0.0913100\pi$
$282$	0.861626	−	10.2083i	0.0513091	−	0.607897i
$283$	13.1448	+	18.0923i	0.781379	+	1.07548i	0.995128	+	0.0985879i	$0.0314326\pi$
$283$	13.1448	+	18.0923i	0.781379	+	1.07548i	−0.213749	+	0.976889i	$0.568567\pi$
$284$	13.3334	+	7.69807i	0.791194	+	0.456796i
$285$	14.7718	+	16.5082i	0.875007	+	0.977864i
$286$	4.11550	+	1.83234i	0.243354	+	0.108348i
$287$	20.7851	+	15.1012i	1.22690	+	0.891397i
$288$	2.95756	+	0.502843i	0.174276	+	0.0296303i
$289$	−10.9594	−	2.32950i	−0.644672	−	0.137029i
$290$	−0.104774	+	0.0724065i	−0.00615257	+	0.00425186i
$291$	−0.163004	+	0.0986232i	−0.00955546	+	0.00578139i
$292$	−0.746783	−	0.829387i	−0.0437022	−	0.0485362i
$293$	2.82538	−	26.8817i	0.165060	−	1.57045i	−0.527797	−	0.849370i	$-0.676982\pi$
$293$	2.82538	−	26.8817i	0.165060	−	1.57045i	0.692858	−	0.721075i	$-0.256351\pi$
$294$	2.75112	+	1.91383i	0.160448	+	0.111617i
$295$	2.58607	+	13.7558i	0.150567	+	0.800896i
$296$	−0.252855	+	2.40576i	−0.0146969	+	0.139832i
$297$	−14.7292	−	2.19439i	−0.854677	−	0.127331i
$298$	2.69121	+	2.42317i	0.155898	+	0.140371i
$299$	−7.41497	+	0.779345i	−0.428819	+	0.0450707i
$300$	−4.12831	−	7.61295i	−0.238348	−	0.439534i
$301$	0.799825	+	1.79644i	0.0461011	+	0.103545i
$302$	−12.3787	+	17.0378i	−0.712314	+	0.980416i
$303$	−13.4145	−	11.5891i	−0.770641	−	0.665776i
$304$	2.85986	+	4.95343i	0.164024	+	0.284098i
$305$	−0.148339	+	6.28153i	−0.00849387	+	0.359680i
$306$	0.296250	+	7.21622i	0.0169355	+	0.412524i
$307$	1.87412	+	8.81704i	0.106962	+	0.503215i	0.998714	+	0.0506921i	$0.0161427\pi$
$307$	1.87412	+	8.81704i	0.106962	+	0.503215i	−0.891753	+	0.452523i	$0.850524\pi$
$308$	−6.13431	+	1.99316i	−0.349535	+	0.113571i
$309$	−2.32910	−	0.704287i	−0.132498	−	0.0400655i
$310$	12.1230	−	2.83408i	0.688542	−	0.160965i
$311$			12.3209i			0.698653i	0.937001	+	0.349326i	$0.113590\pi$
$311$			12.3209i			0.698653i	−0.937001	+	0.349326i	$0.886410\pi$
$312$	2.72205	−	0.0558511i	0.154106	−	0.00316194i
$313$	−18.4434	+	3.92026i	−1.04248	+	0.221586i	−0.697173	−	0.716903i	$-0.745559\pi$
$313$	−18.4434	+	3.92026i	−1.04248	+	0.221586i	−0.345308	+	0.938489i	$0.612226\pi$
$314$	−2.61429	−	3.59826i	−0.147533	−	0.203062i
$315$	−8.65990	+	12.3667i	−0.487930	+	0.696787i
$316$	6.30983	−	3.64298i	0.354956	−	0.204934i
$317$	5.05952	+	2.25264i	0.284171	+	0.126521i	0.543872	−	0.839168i	$-0.316958\pi$
$317$	5.05952	+	2.25264i	0.284171	+	0.126521i	−0.259702	+	0.965689i	$0.583624\pi$
$318$	4.20223	+	5.54117i	0.235650	+	0.310733i
$319$	0.149122	−	0.0663933i	0.00834922	−	0.00371731i
$320$	−0.640584	−	2.14235i	−0.0358097	−	0.119761i
$321$	17.5043	+	3.34690i	0.976993	+	0.186806i
$322$	7.14289	−	7.93298i	0.398057	−	0.442088i
$323$	−10.2330	+	9.21383i	−0.569379	+	0.512671i
$324$	−8.62032	+	2.58650i	−0.478907	+	0.143695i
$325$	−4.97748	−	6.08251i	−0.276101	−	0.337397i
$326$	19.0852	+	6.20116i	1.05703	+	0.343450i
$327$	29.8317	+	12.5551i	1.64970	+	0.694301i
$328$	8.48345	−	7.63853i	0.468420	−	0.421767i
$329$	9.89244	+	8.90719i	0.545388	+	0.491069i
$330$	3.39730	+	10.5670i	0.187015	+	0.581694i
$331$	5.54877	−	26.1049i	0.304988	−	1.43486i	−0.512390	−	0.858753i	$-0.671240\pi$
$331$	5.54877	−	26.1049i	0.304988	−	1.43486i	0.817378	−	0.576102i	$-0.195427\pi$
$332$	−1.33929	−	3.00810i	−0.0735032	−	0.165091i
$333$	−2.52376	−	6.80405i	−0.138301	−	0.372859i
$334$	−0.863721	+	1.93995i	−0.0472607	+	0.106149i
$335$	1.11253	+	0.677835i	0.0607841	+	0.0370341i
$336$	−2.84275	+	2.66723i	−0.155085	+	0.145509i
$337$	6.34964	−	4.61328i	0.345887	−	0.251302i	−0.401255	−	0.915967i	$-0.631426\pi$
$337$	6.34964	−	4.61328i	0.345887	−	0.251302i	0.747142	+	0.664665i	$0.231426\pi$
$338$	−10.2990	+	2.18912i	−0.560193	+	0.119073i
$339$	−2.14289	+	0.0439678i	−0.116386	+	0.00238800i
$340$	4.72422	−	2.58078i	0.256207	−	0.139962i
$341$	−15.9415	+	0.699051i	−0.863280	+	0.0378557i
$342$	−14.2841	−	9.50799i	−0.772395	−	0.514133i
$343$	−19.1245	+	6.21392i	−1.03263	+	0.335520i
$344$	0.854656	−	0.181663i	0.0460800	−	0.00979460i
$345$	−13.6136	−	12.3343i	−0.732932	−	0.664054i
$346$	−7.91611	+	13.7111i	−0.425573	+	0.737113i
$347$	22.8472	−	13.1908i	1.22650	−	0.708120i	0.260204	−	0.965554i	$-0.416210\pi$
$347$	22.8472	−	13.1908i	1.22650	−	0.708120i	0.966296	+	0.257434i	$0.0828769\pi$
$348$	0.0644933	−	0.0746515i	0.00345721	−	0.00400174i
$349$	−5.67226	−	4.12114i	−0.303629	−	0.220599i	0.425529	−	0.904945i	$-0.360088\pi$
$349$	−5.67226	−	4.12114i	−0.303629	−	0.220599i	−0.729158	+	0.684345i	$0.760088\pi$
$350$	11.1233	+	1.70321i	0.594563	+	0.0910403i
$351$	−7.24325	+	3.77483i	−0.386616	+	0.201485i
$352$	0.299571	+	2.85023i	0.0159672	+	0.151918i
$353$	−18.4743	−	16.6343i	−0.983286	−	0.885355i	0.0101265	−	0.999949i	$-0.496777\pi$
$353$	−18.4743	−	16.6343i	−0.983286	−	0.885355i	−0.993412	+	0.114594i	$0.963443\pi$
$354$	−4.61204	−	9.81201i	−0.245127	−	0.521503i
$355$	13.2562	+	31.7723i	0.703568	+	1.68630i
$356$	0.304844	−	0.938212i	0.0161567	−	0.0497251i
$357$	−7.70375	−	5.35915i	−0.407726	−	0.283636i
$358$	−1.86638	+	17.7574i	−0.0986411	+	0.938507i
$359$	−9.35139	+	8.42003i	−0.493547	+	0.444392i	−0.877935	−	0.478780i	$-0.841079\pi$
$359$	−9.35139	+	8.42003i	−0.493547	+	0.444392i	0.384388	+	0.923172i	$0.374413\pi$
$360$	4.57482	+	4.90622i	0.241114	+	0.258581i
$361$	−1.43363	−	13.6401i	−0.0754544	−	0.717900i
$362$	1.14184	−	5.37193i	0.0600137	−	0.282342i
$363$	0.602841	+	4.78849i	0.0316410	+	0.251331i
$364$	−2.07941	+	2.86206i	−0.108991	+	0.150013i
$365$	−0.202191	−	2.48736i	−0.0105832	−	0.130194i
$366$	−1.10935	−	4.73890i	−0.0579869	−	0.247706i
$367$	14.6057	−	25.2977i	0.762409	−	1.32053i	−0.179196	−	0.983813i	$-0.557350\pi$
$367$	14.6057	−	25.2977i	0.762409	−	1.32053i	0.941605	−	0.336718i	$-0.109317\pi$
$368$	−2.78796	−	3.83730i	−0.145333	−	0.200033i
$369$	−12.6344	+	31.8311i	−0.657720	+	1.65706i
$370$	−3.71326	+	3.93315i	−0.193043	+	0.204475i
$371$	−9.03633			−0.469143
$372$	−8.53950	+	4.48073i	−0.442752	+	0.232315i
$373$			8.64672i			0.447710i	0.974622	+	0.223855i	$0.0718643\pi$
$373$			8.64672i			0.447710i	−0.974622	+	0.223855i	$0.928136\pi$
$374$	−6.56184	+	2.13207i	−0.339305	+	0.110247i
$375$	2.99026	−	19.1327i	0.154416	−	0.988006i
$376$	4.78512	−	3.47659i	0.246774	−	0.179292i
$377$	0.0447654	−	0.0775360i	0.00230554	−	0.00399330i
$378$	4.09042	−	10.9557i	0.210389	−	0.563498i
$379$	−17.5754	−	7.82507i	−0.902787	−	0.401947i	−0.0977775	−	0.995208i	$-0.531173\pi$
$379$	−17.5754	−	7.82507i	−0.902787	−	0.401947i	−0.805010	+	0.593262i	$0.797840\pi$
$380$	−1.63681	+	12.6845i	−0.0839664	+	0.650702i
$381$	−4.13549	−	32.8490i	−0.211868	−	1.68291i
$382$	3.03743	−	14.2900i	0.155408	−	0.731139i
$383$	−23.5883	+	2.47923i	−1.20531	+	0.126683i	−0.685805	−	0.727785i	$-0.740550\pi$
$383$	−23.5883	+	2.47923i	−1.20531	+	0.126683i	−0.519503	+	0.854468i	$0.673883\pi$
$384$	0.896614	+	1.48192i	0.0457551	+	0.0756239i
$385$	−13.6077	−	4.77943i	−0.693513	−	0.243582i
$386$	−19.8520	−	2.08653i	−1.01044	−	0.106202i
$387$	−2.05565	+	1.62642i	−0.104495	+	0.0826756i
$388$	−0.104612	−	0.0339904i	−0.00531085	−	0.00172560i
$389$	3.30640	−	31.4583i	0.167641	−	1.59500i	−0.510373	−	0.859953i	$-0.670493\pi$
$389$	3.30640	−	31.4583i	0.167641	−	1.59500i	0.678015	−	0.735048i	$-0.262841\pi$
$390$	4.91417	+	3.59365i	0.248839	+	0.181971i
$391$	7.64071	−	8.48586i	0.386407	−	0.429149i
$392$	0.202251	+	1.92429i	0.0102152	+	0.0971912i
$393$	−16.0831	−	8.85072i	−0.811283	−	0.446460i
$394$	−0.0398773	−	0.0895659i	−0.00200899	−	0.00451227i
$395$	16.1579	+	2.08502i	0.812995	+	0.104909i
$396$	−4.60069	−	7.26330i	−0.231194	−	0.364994i
$397$	−14.8944	+	8.59927i	−0.747527	+	0.431585i	−0.824800	−	0.565425i	$-0.808712\pi$
$397$	−14.8944	+	8.59927i	−0.747527	+	0.431585i	0.0772727	+	0.997010i	$0.475379\pi$
$398$	−8.14298	−	4.70135i	−0.408170	−	0.235657i
$399$	21.0591	−	7.32344i	1.05427	−	0.366630i
$400$	1.76783	−	4.67705i	0.0883915	−	0.233852i
$401$	−7.33975	−	22.5894i	−0.366530	−	1.12806i	−0.949018	−	0.315223i	$-0.897921\pi$
$401$	−7.33975	−	22.5894i	−0.366530	−	1.12806i	0.582488	−	0.812839i	$-0.302079\pi$
$402$	−0.965920	−	0.292080i	−0.0481757	−	0.0145676i
$403$	−6.84836	+	5.44955i	−0.341141	+	0.271461i
$404$		−	10.2348i		−	0.509201i
$405$	−18.8315	−	7.09747i	−0.935746	−	0.352676i
$406$	0.0266513	+	0.125385i	0.00132268	+	0.00622274i
$407$	5.60867	−	4.07494i	0.278012	−	0.201987i
$408$	−3.04088	+	2.85312i	−0.150546	+	0.141250i
$409$	−3.26549	+	1.88533i	−0.161468	+	0.0932237i	−0.578557	−	0.815642i	$-0.696384\pi$
$409$	−3.26549	+	1.88533i	−0.161468	+	0.0932237i	0.417088	+	0.908866i	$0.363051\pi$
$410$	25.4422	−	2.06813i	1.25650	−	0.102137i
$411$	−14.0044	−	18.4666i	−0.690788	−	0.910891i
$412$	−0.571400	−	1.28339i	−0.0281509	−	0.0632279i
$413$	13.7798	+	2.92899i	0.678060	+	0.144126i
$414$	12.6046	+	6.60328i	0.619481	+	0.324534i
$415$	1.70043	−	7.16383i	0.0834707	−	0.351658i
$416$	1.05181	+	1.16815i	0.0515693	+	0.0572735i
$417$	−5.73507	+	13.6268i	−0.280847	+	0.667308i
$418$	5.06550	−	15.5900i	0.247762	−	0.762533i
$419$	−11.9128	−	3.87070i	−0.581978	−	0.189096i	0.00320876	−	0.999995i	$-0.498979\pi$
$419$	−11.9128	−	3.87070i	−0.581978	−	0.189096i	−0.585186	+	0.810899i	$0.698979\pi$
$420$	−8.67149	+	0.884279i	−0.423125	+	0.0431484i
$421$	9.95718	+	11.0586i	0.485283	+	0.538962i	0.935205	−	0.354106i	$-0.115215\pi$
$421$	9.95718	+	11.0586i	0.485283	+	0.538962i	−0.449922	+	0.893068i	$0.648548\pi$
$422$	−6.99155	+	7.76490i	−0.340343	+	0.377989i
$423$	−8.23430	+	15.7179i	−0.400366	+	0.764232i
$424$	−0.834788	+	3.92737i	−0.0405409	+	0.190730i
$425$	11.8985	+	1.82191i	0.577162	+	0.0883758i
$426$	−16.1137	−	21.2479i	−0.780710	−	1.02946i
$427$	5.77732	+	2.57223i	0.279584	+	0.124479i
$428$	5.14459	+	8.91069i	0.248673	+	0.430714i
$429$	−5.33897	−	5.69031i	−0.257768	−	0.274731i
$430$	1.76559	+	0.836584i	0.0851445	+	0.0403437i
$431$	−6.97483	−	32.8140i	−0.335966	−	1.58059i	−0.744354	−	0.667785i	$-0.767242\pi$
$431$	−6.97483	−	32.8140i	−0.335966	−	1.58059i	0.408389	−	0.912808i	$-0.366091\pi$
$432$	−4.38367	−	2.78988i	−0.210909	−	0.134228i
$433$	9.53946			0.458437			0.229219	−	0.973375i	$-0.426383\pi$
$433$	9.53946			0.458437			0.229219	+	0.973375i	$0.426383\pi$
$434$	2.06582	−	12.3592i	0.0991624	−	0.593263i
$435$	0.215913	−	0.0451957i	0.0103522	−	0.00216697i
$436$	5.77446	+	17.7720i	0.276547	+	0.851123i
$437$	5.64056	+	26.5368i	0.269825	+	1.26942i
$438$	0.634934	+	1.82580i	0.0303383	+	0.0872403i
$439$	6.96779	−	12.0686i	0.332554	−	0.576001i	−0.650458	−	0.759543i	$-0.725423\pi$
$439$	6.96779	−	12.0686i	0.332554	−	0.576001i	0.983012	+	0.183541i	$0.0587562\pi$
$440$	−3.33433	+	5.47265i	−0.158958	+	0.260898i
$441$	−3.10609	−	4.90370i	−0.147909	−	0.233510i
$442$	−2.22433	+	3.06153i	−0.105801	+	0.145622i
$443$	−9.92555	+	4.41914i	−0.471577	+	0.209960i	−0.628744	−	0.777612i	$-0.716431\pi$
$443$	−9.92555	+	4.41914i	−0.471577	+	0.209960i	0.157167	+	0.987572i	$0.449764\pi$
$444$	2.02005	−	3.67072i	0.0958672	−	0.174205i
$445$	1.81470	−	1.25408i	0.0860249	−	0.0594493i
$446$	16.9832	−	18.8617i	0.804176	−	0.893128i
$447$	−2.66823	−	5.67659i	−0.126203	−	0.268494i
$448$	−2.23825	−	0.235250i	−0.105747	−	0.0111145i
$449$	3.93061	−	12.0972i	0.185497	−	0.570902i	−0.814459	−	0.580221i	$-0.802966\pi$
$449$	3.93061	−	12.0972i	0.185497	−	0.570902i	0.999957	+	0.00931895i	$0.00296636\pi$
$450$	1.47554	+	14.9272i	0.0695576	+	0.703677i
$451$	−32.5371	−	3.41978i	−1.53211	−	0.161031i
$452$	−0.828021	−	0.919610i	−0.0389468	−	0.0432548i
$453$	31.2090	−	18.8826i	1.46633	−	0.887181i
$454$	−2.23007	−	21.2177i	−0.104663	−	0.995798i
$455$	−7.57899	+	2.26620i	−0.355308	+	0.106241i
$456$	−1.23744	−	9.82927i	−0.0579486	−	0.460298i
$457$	−6.64538	−	4.82815i	−0.310858	−	0.225851i	0.421407	−	0.906872i	$-0.361536\pi$
$457$	−6.64538	−	4.82815i	−0.310858	−	0.225851i	−0.732264	+	0.681020i	$0.761536\pi$
$458$	9.55141	−	21.4528i	0.446308	−	1.00242i
$459$	4.37550	−	11.7192i	0.204231	−	0.547006i
$460$	0.250393	−	10.6031i	0.0116746	−	0.494371i
$461$	−20.7668	+	15.0880i	−0.967207	+	0.702717i	−0.954813	−	0.297206i	$-0.903945\pi$
$461$	−20.7668	+	15.0880i	−0.967207	+	0.702717i	−0.0123938	+	0.999923i	$0.503945\pi$
$462$	11.1321	+	0.939600i	0.517914	+	0.0437141i
$463$	−9.71890	−	29.9117i	−0.451676	−	1.39012i	−0.874994	−	0.484134i	$-0.839135\pi$
$463$	−9.71890	−	29.9117i	−0.451676	−	1.39012i	0.423318	−	0.905981i	$-0.360865\pi$
$464$	0.0569568			0.00264415
$465$	−21.2577	−	3.62085i	−0.985802	−	0.167913i
$466$	18.1916			0.842707
$467$	10.9731	+	33.7717i	0.507774	+	1.56277i	0.796057	+	0.605222i	$0.206916\pi$
$467$	10.9731	+	33.7717i	0.507774	+	1.56277i	−0.288283	+	0.957545i	$0.593084\pi$
$468$	−4.38308	−	1.73973i	−0.202608	−	0.0804191i
$469$	1.06080	−	0.770714i	0.0489830	−	0.0355883i
$470$	13.2221	+	0.312241i	0.609888	+	0.0144026i
$471$	1.75591	+	7.50085i	0.0809083	+	0.345621i
$472$	2.54600	−	5.71840i	0.117189	−	0.263211i
$473$	−2.02586	−	1.47188i	−0.0931493	−	0.0676769i
$474$	−12.5208	+	1.57629i	−0.575101	+	0.0724016i
$475$	−20.1181	+	20.3259i	−0.923082	+	0.932617i
$476$	−0.566348	−	5.38844i	−0.0259585	−	0.246979i
$477$	−2.98555	−	11.6695i	−0.136699	−	0.534308i
$478$	−2.33040	−	2.58817i	−0.106590	−	0.118380i
$479$	−12.2923	−	1.29198i	−0.561652	−	0.0590320i	−0.180551	−	0.983566i	$-0.557788\pi$
$479$	−12.2923	−	1.29198i	−0.561652	−	0.0590320i	−0.381100	+	0.924534i	$0.624455\pi$
$480$	−0.416759	+	3.85050i	−0.0190223	+	0.175750i
$481$	1.17502	−	3.61635i	0.0535765	−	0.164891i
$482$	0.451527	+	0.0474574i	0.0205665	+	0.00216162i
$483$	−16.7331	+	7.86524i	−0.761383	+	0.357881i
$484$	−1.86451	+	2.07074i	−0.0847503	+	0.0941247i
$485$	−0.139832	−	0.202341i	−0.00634943	−	0.00918782i
$486$	15.4995	+	1.66267i	0.703073	+	0.0754204i
$487$	−8.30391	+	3.69714i	−0.376286	+	0.167533i	−0.586160	−	0.810195i	$-0.699361\pi$
$487$	−8.30391	+	3.69714i	−0.376286	+	0.167533i	0.209874	+	0.977728i	$0.432695\pi$
$488$	1.65166	−	2.27331i	0.0747671	−	0.102908i
$489$	−26.3017	−	22.7227i	−1.18940	−	1.02755i
$490$	−2.25113	+	3.69478i	−0.101695	+	0.166913i
$491$	−6.83128	+	11.8321i	−0.308291	+	0.533976i	−0.977989	−	0.208658i	$-0.933090\pi$
$491$	−6.83128	+	11.8321i	−0.308291	+	0.533976i	0.669697	+	0.742634i	$0.266424\pi$
$492$	−18.6754	+	6.49448i	−0.841951	+	0.292794i
$493$	0.0285088	+	0.134123i	0.00128397	+	0.00604061i
$494$	−2.77833	−	8.55083i	−0.125003	−	0.384720i
$495$	1.67623	−	19.1520i	0.0753412	−	0.860819i
$496$	−5.18073	−	2.03961i	−0.232622	−	0.0915812i
$497$	34.6502			1.55428
$498$	0.116995	+	5.70206i	0.00524267	+	0.255515i
$499$	3.46118	+	16.2835i	0.154943	+	0.728952i	0.985178	+	0.171537i	$0.0548733\pi$
$499$	3.46118	+	16.2835i	0.154943	+	0.728952i	−0.830234	+	0.557415i	$0.811793\pi$
$500$	9.48750	−	5.91501i	0.424294	−	0.264527i
$501$	2.68228	−	2.51667i	0.119836	−	0.112436i
$502$	12.2605	+	21.2358i	0.547213	+	0.947801i
$503$	−20.5199	−	9.13605i	−0.914938	−	0.407356i	−0.105404	−	0.994430i	$-0.533613\pi$
$503$	−20.5199	−	9.13605i	−0.914938	−	0.407356i	−0.809534	+	0.587073i	$0.800280\pi$
$504$	6.33030	−	2.34804i	0.281974	−	0.104590i
$505$	13.8853	−	18.1922i	0.617887	−	0.809543i
$506$	−2.82626	+	13.2965i	−0.125643	+	0.591102i
$507$	17.9125	+	3.42495i	0.795520	+	0.152107i
$508$	12.7905	−	14.2053i	0.567487	−	0.630258i
$509$	−20.2518	−	22.4920i	−0.897647	−	0.996938i	−0.999998	−	0.00219005i	$-0.999303\pi$
$509$	−20.2518	−	22.4920i	−0.897647	−	0.996938i	0.102350	−	0.994748i	$-0.467364\pi$
$510$	−9.27585	+	0.945909i	−0.410741	+	0.0418855i
$511$	−2.38883	−	0.776176i	−0.105675	−	0.0343360i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	16.4152	+	24.7760i	0.724751	+	1.09389i
$514$	−9.92625	−	11.0242i	−0.437828	−	0.486258i
$515$	0.725476	−	3.05640i	0.0319683	−	0.134681i
$516$	−1.48645	−	0.284216i	−0.0654374	−	0.0125119i
$517$	−16.5808	−	3.52435i	−0.729222	−	0.155001i
$518$	2.21434	+	4.97350i	0.0972927	+	0.218523i
$519$	21.8497	−	16.5701i	0.959096	−	0.727345i
$520$	0.284777	+	3.50333i	0.0124883	+	0.153631i
$521$	24.1496	−	13.9428i	1.05801	−	0.610844i	0.133131	−	0.991098i	$-0.457497\pi$
$521$	24.1496	−	13.9428i	1.05801	−	0.610844i	0.924882	+	0.380255i	$0.124164\pi$
$522$	−0.153116	+	0.0758437i	−0.00670170	+	0.00331959i
$523$	−5.98414	+	4.34773i	−0.261668	+	0.190113i	−0.710882	−	0.703311i	$-0.751704\pi$
$523$	−5.98414	+	4.34773i	−0.261668	+	0.190113i	0.449214	+	0.893424i	$0.351704\pi$
$524$	−2.20360	−	10.3671i	−0.0962648	−	0.452890i
$525$	−16.6131	−	10.1926i	−0.725055	−	0.444840i
$526$			17.3746i			0.757569i
$527$	2.20979	−	13.2206i	0.0962601	−	0.575899i
$528$	1.43677	−	4.75145i	0.0625275	−	0.206780i
$529$	0.155244	+	0.477793i	0.00674975	+	0.0207736i
$530$	−6.81197	+	5.84830i	−0.295893	+	0.254034i
$531$	0.770279	+	18.7629i	0.0334273	+	0.814240i
$532$	11.1481	+	6.43635i	0.483331	+	0.279051i
$533$	−15.5402	+	8.97213i	−0.673120	+	0.388626i
$534$	−1.11703	+	1.29297i	−0.0483385	+	0.0559522i
$535$	−2.94444	+	22.8181i	−0.127299	+	0.986513i
$536$	−0.236970	−	0.532243i	−0.0102355	−	0.0229894i
$537$	14.9104	−	27.0944i	0.643431	−	1.16921i
$538$	−0.973013	−	9.25760i	−0.0419496	−	0.399123i
$539$	3.71049	−	4.12092i	0.159822	−	0.177501i
$540$	−4.00696	−	10.9062i	−0.172432	−	0.469326i
$541$	−2.16178	+	20.5679i	−0.0929421	+	0.884285i	0.844362	+	0.535773i	$0.179980\pi$
$541$	−2.16178	+	20.5679i	−0.0929421	+	0.884285i	−0.937304	+	0.348512i	$0.886687\pi$
$542$	−13.4758	−	4.37855i	−0.578835	−	0.188075i
$543$	−5.43216	+	7.80870i	−0.233116	+	0.335104i
$544$	−2.39425	−	0.251645i	−0.102652	−	0.0107892i
$545$	−13.8467	+	39.4234i	−0.593127	+	1.68871i
$546$	5.24259	−	3.17195i	0.224362	−	0.135747i
$547$	−24.5892	+	2.58443i	−1.05136	+	0.110502i	−0.614411	−	0.788986i	$-0.710606\pi$
$547$	−24.5892	+	2.58443i	−1.05136	+	0.110502i	−0.436945	+	0.899488i	$0.643940\pi$
$548$	2.78203	−	13.0884i	0.118842	−	0.559110i
$549$	−1.41297	+	8.31065i	−0.0603042	+	0.354690i
$550$	−13.3513	+	5.20396i	−0.569302	+	0.221897i
$551$	−0.297612	−	0.132506i	−0.0126787	−	0.00564493i
$552$	1.87256	+	7.99915i	0.0797016	+	0.340466i
$553$	8.19883	−	14.2008i	0.348650	−	0.603879i
$554$	−22.3487	+	16.2373i	−0.949506	+	0.689856i
$555$	8.57056	−	3.78411i	0.363800	−	0.160627i
$556$	−8.11806	+	2.63772i	−0.344282	+	0.111864i
$557$			5.59353i			0.237005i	0.992954	+	0.118503i	$0.0378094\pi$
$557$			5.59353i			0.237005i	−0.992954	+	0.118503i	$0.962191\pi$
$558$	16.6432	−	1.41563i	0.704563	−	0.0599283i
$559$	−1.37345			−0.0580909
$560$	−3.65930	−	3.45472i	−0.154634	−	0.145989i
$561$	11.9080	+	1.00508i	0.502756	+	0.0424347i
$562$	−16.2529	−	22.3701i	−0.685585	−	0.943627i
$563$	−13.4296	+	23.2608i	−0.565992	+	0.980327i	0.430965	+	0.902369i	$0.358173\pi$
$563$	−13.4296	+	23.2608i	−0.565992	+	0.980327i	−0.996957	+	0.0779581i	$0.975160\pi$
$564$	−9.97495	+	2.33509i	−0.420021	+	0.0983251i
$565$	−0.224186	−	2.75794i	−0.00943157	−	0.116028i
$566$	13.1448	−	18.0923i	0.552519	−	0.760477i
$567$	−13.8910	+	14.7416i	−0.583366	+	0.619090i
$568$	3.20104	−	15.0597i	0.134313	−	0.631891i
$569$	1.00447	+	9.55687i	0.0421095	+	0.400645i	0.995193	+	0.0979365i	$0.0312242\pi$
$569$	1.00447	+	9.55687i	0.0421095	+	0.400645i	−0.953083	+	0.302709i	$0.902109\pi$
$570$	11.1355	−	19.1502i	0.466416	−	0.802112i
$571$	10.8899	−	9.80528i	0.455727	−	0.410338i	−0.409037	−	0.912518i	$-0.634135\pi$
$571$	10.8899	−	9.80528i	0.455727	−	0.410338i	0.864763	+	0.502180i	$0.167468\pi$
$572$	0.470898	−	4.48029i	0.0196892	−	0.187330i
$573$	−14.4502	+	20.7721i	−0.603666	+	0.867768i
$574$	7.93918	−	24.4343i	0.331375	−	1.01987i
$575$	14.8300	−	18.5071i	0.618452	−	0.771800i
$576$	−0.435704	−	2.96819i	−0.0181543	−	0.123675i
$577$	35.0444	+	31.5541i	1.45892	+	1.31362i	0.857284	+	0.514844i	$0.172150\pi$
$577$	35.0444	+	31.5541i	1.45892	+	1.31362i	0.601634	+	0.798772i	$0.294517\pi$
$578$	1.17116	+	11.1429i	0.0487140	+	0.463483i
$579$	30.2904	+	16.6692i	1.25883	+	0.692748i
$580$	0.101240	+	0.0772716i	0.00420375	+	0.00320853i
$581$	−5.99535	−	4.35588i	−0.248729	−	0.180712i
$582$	0.144167	+	0.124550i	0.00597592	+	0.00516275i
$583$	9.96537	−	5.75351i	0.412723	−	0.238286i
$584$	−0.558025	+	0.966527i	−0.0230912	+	0.0399952i
$585$	−5.43060	−	9.03873i	−0.224528	−	0.373705i
$586$	−26.4391	+	5.61980i	−1.09219	+	0.232152i
$587$	34.9883	−	11.3684i	1.44412	−	0.469224i	0.520942	−	0.853592i	$-0.325581\pi$
$587$	34.9883	−	11.3684i	1.44412	−	0.469224i	0.923180	+	0.384368i	$0.125581\pi$
$588$	0.970015	−	3.20787i	0.0400027	−	0.132290i
$589$	22.3255	+	22.7100i	0.919907	+	0.935749i
$590$	12.2834	−	6.71029i	0.505701	−	0.276258i
$591$	0.00348351	+	0.169778i	0.000143293	+	0.00698374i
$592$	2.36615	−	0.502940i	0.0972481	−	0.0206707i
$593$	−10.5672	+	7.67751i	−0.433942	+	0.315277i	−0.783223	−	0.621741i	$-0.786426\pi$
$593$	−10.5672	+	7.67751i	−0.433942	+	0.315277i	0.349281	+	0.937018i	$0.386426\pi$
$594$	2.46459	+	14.6864i	0.101124	+	0.602592i
$595$	6.30366	−	10.3462i	0.258425	−	0.424153i
$596$	1.47295	−	3.30829i	0.0603343	−	0.135513i
$597$	9.84091	+	12.9765i	0.402762	+	0.531091i
$598$	3.03255	+	6.81122i	0.124010	+	0.278532i
$599$	8.89508	−	41.8480i	0.363443	−	1.70986i	−0.293530	−	0.955950i	$-0.594830\pi$
$599$	8.89508	−	41.8480i	0.363443	−	1.70986i	0.656973	−	0.753915i	$-0.271837\pi$
$600$	−5.96463	+	6.27879i	−0.243505	+	0.256330i
$601$	29.4928	+	26.5554i	1.20304	+	1.08322i	0.994450	+	0.105214i	$0.0335526\pi$
$601$	29.4928	+	26.5554i	1.20304	+	1.08322i	0.208585	+	0.978004i	$0.433114\pi$
$602$	1.46135	−	1.31581i	0.0595603	−	0.0536283i
$603$	1.34578	+	1.11527i	0.0548042	+	0.0454172i
$604$	20.0291	+	6.50786i	0.814974	+	0.264801i
$605$	−6.12344	+	1.15119i	−0.248953	+	0.0468027i
$606$	−6.87659	+	16.3391i	−0.279342	+	0.663732i
$607$	−1.03429	+	0.931282i	−0.0419807	+	0.0377996i	−0.689854	−	0.723949i	$-0.742325\pi$
$607$	−1.03429	+	0.931282i	−0.0419807	+	0.0377996i	0.647873	+	0.761748i	$0.275659\pi$
$608$	3.82724	−	4.25058i	0.155215	−	0.172384i
$609$	0.0416968	−	0.218074i	0.00168964	−	0.00883680i
$610$	6.01993	−	1.80002i	0.243740	−	0.0728807i
$611$	−8.49361	+	3.78160i	−0.343615	+	0.152987i
$612$	6.77149	−	2.51169i	0.273721	−	0.101529i
$613$	8.63865	+	3.84617i	0.348912	+	0.155345i	0.573707	−	0.819060i	$-0.305505\pi$
$613$	8.63865	+	3.84617i	0.348912	+	0.155345i	−0.224796	+	0.974406i	$0.572171\pi$
$614$	7.80637	−	4.50701i	0.315040	−	0.181888i
$615$	−42.0060	−	13.7925i	−1.69385	−	0.556167i
$616$	3.79121	+	5.21816i	0.152752	+	0.210246i
$617$	8.82398	−	1.87560i	0.355240	−	0.0755086i	−0.0268350	−	0.999640i	$-0.508543\pi$
$617$	8.82398	−	1.87560i	0.355240	−	0.0755086i	0.382075	+	0.924131i	$0.375210\pi$
$618$	0.0499150	+	2.43274i	0.00200788	+	0.0978592i
$619$			20.6129i			0.828503i	0.910162	+	0.414252i	$0.135957\pi$
$619$			20.6129i			0.828503i	−0.910162	+	0.414252i	$0.864043\pi$
$620$	−6.44159	−	10.6539i	−0.258701	−	0.427872i
$621$	−15.6856	−	19.0104i	−0.629443	−	0.762862i
$622$	11.7178	−	3.80736i	0.469843	−	0.152661i
$623$	−0.461602	−	2.17167i	−0.0184937	−	0.0870061i
$624$	−0.894277	−	2.57156i	−0.0357997	−	0.102945i
$625$	24.8886	+	2.35756i	0.995544	+	0.0943026i
$626$	9.42770	+	16.3293i	0.376807	+	0.652648i
$627$	−18.5613	+	21.4849i	−0.741269	+	0.858024i
$628$	−2.61429	+	3.59826i	−0.104321	+	0.143586i
$629$	2.36867	+	5.32013i	0.0944452	+	0.212127i
$630$	14.4375	+	4.41453i	0.575205	+	0.175879i
$631$	−2.30107	+	0.241852i	−0.0916040	+	0.00962797i	−0.150220	−	0.988653i	$-0.547998\pi$
$631$	−2.30107	+	0.241852i	−0.0916040	+	0.00962797i	0.0586155	+	0.998281i	$0.481331\pi$
$632$	−5.41453	−	4.87526i	−0.215378	−	0.193928i
$633$	16.3786	−	7.69860i	0.650990	−	0.305992i
$634$	0.578913	−	5.50799i	0.0229916	−	0.218750i
$635$	42.0068	−	7.89718i	1.66699	−	0.313390i
$636$	3.97140	−	5.70888i	0.157476	−	0.226372i
$637$	0.317919	−	3.02480i	0.0125964	−	0.119847i
$638$	−0.109225	−	0.121307i	−0.00432426	−	0.00480257i
$639$	11.4482	+	44.7471i	0.452884	+	1.77017i
$640$	−1.83954	+	1.27125i	−0.0727143	+	0.0502507i
$641$	26.6388	+	5.66226i	1.05217	+	0.223646i	0.701365	−	0.712803i	$-0.252574\pi$
$641$	26.6388	+	5.66226i	1.05217	+	0.223646i	0.350806	+	0.936448i	$0.385908\pi$
$642$	−2.22603	−	17.6818i	−0.0878543	−	0.697845i
$643$	39.3116	+	28.5616i	1.55030	+	1.12636i	0.943438	+	0.331549i	$0.107571\pi$
$643$	39.3116	+	28.5616i	1.55030	+	1.12636i	0.606860	+	0.794808i	$0.292429\pi$
$644$	−9.75198	−	4.34186i	−0.384282	−	0.171093i
$645$	−2.25655	−	2.52181i	−0.0888518	−	0.0992963i
$646$	11.9250	+	6.88493i	0.469185	+	0.270884i
$647$	−22.6934	−	31.2348i	−0.892171	−	1.22797i	−0.972899	−	0.231232i	$-0.925724\pi$
$647$	−22.6934	−	31.2348i	−0.892171	−	1.22797i	0.0807277	−	0.996736i	$-0.474276\pi$
$648$	5.12374	+	7.39914i	0.201279	+	0.290666i
$649$	−17.0614	+	5.54360i	−0.669720	+	0.217605i
$650$	−4.24668	+	6.61347i	−0.166569	+	0.259402i
$651$	−11.6019	+	18.3426i	−0.454713	+	0.718904i
$652$		−	20.0674i		−	0.785898i
$653$	−13.5818	−	41.8005i	−0.531497	−	1.63578i	−0.751099	−	0.660190i	$-0.770476\pi$
$653$	−13.5818	−	41.8005i	−0.531497	−	1.63578i	0.219602	−	0.975590i	$-0.429524\pi$
$654$	2.72215	−	32.2514i	0.106445	−	1.26113i
$655$	10.1479	−	21.4170i	0.396512	−	0.836830i
$656$	−9.88620	−	5.70780i	−0.385991	−	0.222852i
$657$	0.213098	−	3.34136i	0.00831373	−	0.130359i
$658$	5.41431	−	12.1607i	0.211072	−	0.474075i
$659$	−12.5029	+	17.2088i	−0.487044	+	0.670358i	−0.979839	−	0.199787i	$-0.935975\pi$
$659$	−12.5029	+	17.2088i	−0.487044	+	0.670358i	0.492796	+	0.870145i	$0.335975\pi$
$660$	8.99999	−	6.49640i	0.350324	−	0.252872i
$661$	−9.63078	−	2.04709i	−0.374594	−	0.0796224i	0.0167676	−	0.999859i	$-0.494662\pi$
$661$	−9.63078	−	2.04709i	−0.374594	−	0.0796224i	−0.391361	+	0.920237i	$0.627996\pi$
$662$	−26.5419	+	2.78967i	−1.03158	+	0.108423i
$663$	5.60797	−	3.39302i	0.217795	−	0.131774i
$664$	−2.44701	+	2.20330i	−0.0949624	+	0.0855045i
$665$	11.0835	+	26.5648i	0.429801	+	1.03014i
$666$	−5.69115	+	4.50281i	−0.220527	+	0.174480i
$667$	0.256933	+	0.0834827i	0.00994850	+	0.00323246i
$668$	2.11191	+	0.221970i	0.0817121	+	0.00858828i
$669$	−39.7852	+	18.7007i	−1.53818	+	0.723009i
$670$	0.300868	−	1.26754i	0.0116235	−	0.0489695i
$671$	−8.00905	+	0.841785i	−0.309186	+	0.0324968i
$672$	3.41514	+	1.87940i	0.131742	+	0.0724994i
$673$	26.4161	−	11.7612i	1.01827	−	0.453362i	0.171420	−	0.985198i	$-0.445164\pi$
$673$	26.4161	−	11.7612i	1.01827	−	0.453362i	0.846847	+	0.531836i	$0.178498\pi$
$674$	−6.34964	−	4.61328i	−0.244579	−	0.177697i
$675$	7.67375	−	24.8216i	0.295363	−	0.955385i
$676$	5.26455	+	9.11848i	0.202483	+	0.350711i
$677$	−31.3104	−	18.0770i	−1.20335	−	0.694757i	−0.242055	−	0.970262i	$-0.577822\pi$
$677$	−31.3104	−	18.0770i	−1.20335	−	0.694757i	−0.961300	+	0.275505i	$0.911155\pi$
$678$	0.704005	+	2.02442i	0.0270371	+	0.0777474i
$679$	−0.242143	+	0.0514691i	−0.00929261	+	0.00197520i
$680$	−3.91433	−	3.69550i	−0.150108	−	0.141716i
$681$	−10.6957	+	35.3709i	−0.409858	+	1.35542i
$682$	5.59103	+	14.9452i	0.214092	+	0.572283i
$683$	−14.5303			−0.555988			−0.277994	−	0.960583i	$-0.589670\pi$
$683$	−14.5303			−0.555988			−0.277994	+	0.960583i	$0.589670\pi$
$684$	−4.62861	+	16.5231i	−0.176979	+	0.631777i
$685$	22.7017	−	19.4902i	0.867387	−	0.744681i
$686$	11.8196	+	16.2683i	0.451274	+	0.621125i
$687$	−29.6619	+	27.8304i	−1.13167	+	1.06180i
$688$	−0.436875	−	0.756690i	−0.0166557	−	0.0288485i
$689$	2.56707	−	5.76573i	0.0977975	−	0.219657i
$690$	−7.52375	+	16.7588i	−0.286424	+	0.637997i
$691$	−6.15974	+	2.74249i	−0.234328	+	0.104329i	−0.520541	−	0.853836i	$-0.674270\pi$
$691$	−6.15974	+	2.74249i	−0.234328	+	0.104329i	0.286214	+	0.958166i	$0.407603\pi$
$692$	15.4862	+	3.29170i	0.588699	+	0.125132i
$693$	−17.1403	−	8.97948i	−0.651108	−	0.341102i
$694$	−19.6054	−	17.6528i	−0.744210	−	0.670089i
$695$	−18.0082	−	6.32502i	−0.683091	−	0.239922i
$696$	−0.0909273	−	0.0382682i	−0.00344659	−	0.00145055i
$697$	8.49250	−	26.1372i	0.321676	−	0.990018i
$698$	−2.16661	+	6.66814i	−0.0820074	+	0.252393i
$699$	−29.0415	−	12.2226i	−1.09845	−	0.462300i
$700$	−1.81743	−	11.1052i	−0.0686923	−	0.419736i
$701$	14.2540	+	12.8343i	0.538365	+	0.484746i	0.892874	−	0.450307i	$-0.148685\pi$
$701$	14.2540	+	12.8343i	0.538365	+	0.484746i	−0.354509	+	0.935053i	$0.615352\pi$
$702$	5.82836	+	5.72226i	0.219977	+	0.215973i
$703$	−13.5337	−	2.87668i	−0.510434	−	0.108496i
$704$	2.61815	−	1.16568i	0.0986754	−	0.0439331i
$705$	−20.8983	−	9.38213i	−0.787074	−	0.353351i
$706$	−10.1113	+	22.7104i	−0.380544	+	0.854715i
$707$	−11.5171	−	19.9483i	−0.433147	−	0.750232i
$708$	−7.90658	+	7.41839i	−0.297147	+	0.278800i
$709$	25.2208	+	34.7135i	0.947188	+	1.30369i	0.952765	+	0.303708i	$0.0982249\pi$
$709$	25.2208	+	34.7135i	0.947188	+	1.30369i	−0.00557666	+	0.999984i	$0.501775\pi$
$710$	26.1208	−	22.4256i	0.980297	−	0.841618i
$711$	21.0477	+	5.89608i	0.789349	+	0.221120i
$712$	−0.986494			−0.0369704
$713$	−20.3809	−	16.7942i	−0.763270	−	0.628948i
$714$	−2.71626	+	8.98277i	−0.101654	+	0.336172i
$715$	6.91529	−	7.32479i	0.258617	−	0.273932i
$716$	17.4650	−	3.71230i	0.652699	−	0.138735i
$717$	1.98137	+	5.69758i	0.0739956	+	0.212780i
$718$	10.8977	+	6.29177i	0.406697	+	0.234807i
$719$	20.3715	+	35.2845i	0.759730	+	1.31589i	0.942988	+	0.332826i	$0.108002\pi$
$719$	20.3715	+	35.2845i	0.759730	+	1.31589i	−0.183258	+	0.983065i	$0.558664\pi$
$720$	3.25240	−	5.86702i	0.121210	−	0.218651i
$721$	−2.55787	−	1.85840i	−0.0952602	−	0.0692106i
$722$	−12.5295	+	5.57849i	−0.466300	+	0.207610i
$723$	−0.688943	−	0.379134i	−0.0256221	−	0.0141002i
$724$	−5.46185	+	0.574064i	−0.202988	+	0.0213349i
$725$	0.0751201	+	0.274698i	0.00278989	+	0.0102020i
$726$	4.36784	−	2.05306i	0.162106	−	0.0761963i
$727$	41.9792	+	4.41219i	1.55692	+	0.163639i	0.843513	−	0.537108i	$-0.180483\pi$
$727$	41.9792	+	4.41219i	1.55692	+	0.163639i	0.713409	+	0.700748i	$0.247150\pi$
$728$	3.36456	+	1.09321i	0.124699	+	0.0405171i
$729$	−23.6267	−	13.0682i	−0.875064	−	0.484007i
$730$	−2.30314	+	0.960931i	−0.0852430	+	0.0355657i
$731$	1.56320	−	1.40751i	0.0578171	−	0.0520587i
$732$	−4.16415	+	2.51946i	−0.153911	+	0.0931218i
$733$	27.3399	−	2.87354i	1.00982	−	0.106136i	0.414855	−	0.909887i	$-0.363832\pi$
$733$	27.3399	−	2.87354i	1.00982	−	0.106136i	0.594966	+	0.803751i	$0.297166\pi$
$734$	−28.5730	−	6.07337i	−1.05465	−	0.224172i
$735$	6.07621	−	4.38595i	0.224124	−	0.161778i
$736$	−2.78796	+	3.83730i	−0.102766	+	0.141445i
$737$	−0.679138	+	1.52537i	−0.0250164	+	0.0561877i
$738$	34.1774	+	2.17969i	1.25809	+	0.0802354i
$739$	1.06324	+	0.613863i	0.0391120	+	0.0225813i	0.519428	−	0.854514i	$-0.326145\pi$
$739$	1.06324	+	0.613863i	0.0391120	+	0.0225813i	−0.480317	+	0.877095i	$0.659478\pi$
$740$	4.88811	+	2.31611i	0.179691	+	0.0851420i
$741$	−1.30974	+	15.5175i	−0.0481145	+	0.570049i
$742$	2.79238	+	8.59406i	0.102511	+	0.315498i
$743$		−	15.3505i		−	0.563155i	−0.959538	−	0.281577i	$-0.909142\pi$
$743$		−	15.3505i		−	0.563155i	0.959538	−	0.281577i	$-0.0908576\pi$
$744$	6.90028	+	6.73692i	0.252977	+	0.246988i
$745$	7.10640	−	3.88213i	0.260358	−	0.142230i
$746$	8.22352	−	2.67198i	0.301085	−	0.0978283i
$747$	3.64433	−	9.18152i	0.133339	−	0.335934i
$748$	4.05544	+	5.58184i	0.148282	+	0.204092i
$749$	20.0542	+	11.5783i	0.732765	+	0.423062i
$750$	−19.1203	+	3.06841i	−0.698174	+	0.112042i
$751$	1.07521	+	0.478716i	0.0392351	+	0.0174686i	0.426260	−	0.904601i	$-0.359831\pi$
$751$	1.07521	+	0.478716i	0.0392351	+	0.0174686i	−0.387025	+	0.922069i	$0.626497\pi$
$752$	−4.78512	−	3.47659i	−0.174495	−	0.126778i
$753$	−5.30504	−	42.1390i	−0.193326	−	1.53563i
$754$	−0.0875743	−	0.0186145i	−0.00318927	−	0.000677900i
$755$	26.7724	+	38.7405i	0.974349	+	1.40991i
$756$	−11.6835	−	0.504739i	−0.424923	−	0.0183572i
$757$	−12.3458	−	13.7114i	−0.448715	−	0.498349i	0.475768	−	0.879571i	$-0.342170\pi$
$757$	−12.3458	−	13.7114i	−0.448715	−	0.498349i	−0.924484	+	0.381222i	$0.875503\pi$
$758$	−2.01099	+	19.1333i	−0.0730424	+	0.694952i
$759$	13.4456	−	19.3280i	0.488044	−	0.701562i
$760$	12.5695	−	2.36304i	0.455944	−	0.0857164i
$761$	3.57059	−	33.9719i	0.129434	−	1.23148i	−0.716269	−	0.697824i	$-0.754152\pi$
$761$	3.57059	−	33.9719i	0.129434	−	1.23148i	0.845703	−	0.533654i	$-0.179182\pi$
$762$	−29.9634	+	14.0840i	−1.08546	+	0.510209i
$763$	31.2534	+	28.1407i	1.13145	+	1.01876i
$764$	−14.5292	+	1.52708i	−0.525648	+	0.0552479i
$765$	15.4437	+	4.72219i	0.558370	+	0.170731i
$766$	9.64709	+	21.6677i	0.348564	+	0.782887i
$767$	−5.78349	+	7.96029i	−0.208830	+	0.287429i
$768$	1.13232	−	1.31067i	0.0408591	−	0.0472947i
$769$	−1.03210	−	1.78765i	−0.0372184	−	0.0644641i	0.846816	−	0.531886i	$-0.178516\pi$
$769$	−1.03210	−	1.78765i	−0.0372184	−	0.0644641i	−0.884035	+	0.467422i	$0.845183\pi$
$770$	−0.340497	+	14.4186i	−0.0122707	+	0.519611i
$771$	8.43956	+	24.2686i	0.303943	+	0.874013i
$772$	4.15020	+	19.5252i	0.149369	+	0.702726i
$773$	33.9866	−	11.0429i	1.22241	−	0.397186i	0.374453	−	0.927246i	$-0.377830\pi$
$773$	33.9866	−	11.0429i	1.22241	−	0.397186i	0.847961	+	0.530059i	$0.177830\pi$
$774$	2.18205	+	1.45245i	0.0784322	+	0.0522072i
$775$	3.00402	−	27.6763i	0.107908	−	0.994161i
$776$			0.109995i			0.00394860i
$777$	−0.193436	−	9.42760i	−0.00693947	−	0.338213i
$778$	−30.9404	+	6.57658i	−1.10927	+	0.235782i
$779$	38.3789	+	52.8240i	1.37507	+	1.89262i
$780$	1.89920	−	5.78415i	0.0680023	−	0.207106i
$781$	−38.2127	+	22.0621i	−1.36736	+	0.789444i
$782$	−10.4316	−	4.64447i	−0.373035	−	0.166086i
$783$	0.295396	−	0.0182033i	0.0105566	−	0.000650531i
$784$	1.76761	−	0.786990i	0.0631288	−	0.0281068i
$785$	−9.52850	+	2.84912i	−0.340087	+	0.101689i
$786$	−3.44760	+	18.0309i	−0.122972	+	0.643142i
$787$	12.4371	−	13.8128i	0.443336	−	0.492374i	−0.479514	−	0.877534i	$-0.659187\pi$
$787$	12.4371	−	13.8128i	0.443336	−	0.492374i	0.922850	+	0.385160i	$0.125854\pi$
$788$	−0.0728595	+	0.0656030i	−0.00259551	+	0.00233701i
$789$	11.6737	−	27.7373i	0.415594	−	0.987474i
$790$	−3.01011	−	16.0114i	−0.107095	−	0.569661i
$791$	−2.64869	−	0.860612i	−0.0941766	−	0.0305998i
$792$	−5.48611	+	6.62000i	−0.194940	+	0.235232i
$793$	−3.28248	+	2.95556i	−0.116564	+	0.104955i
$794$	12.7810	+	11.5081i	0.453581	+	0.408406i
$795$	14.8042	−	4.75955i	0.525050	−	0.168804i
$796$	−1.95493	+	9.19723i	−0.0692907	+	0.325987i
$797$	−5.29590	−	11.8948i	−0.187590	−	0.421335i	0.795128	−	0.606441i	$-0.207404\pi$
$797$	−5.29590	−	11.8948i	−0.187590	−	0.421335i	−0.982718	+	0.185107i	$0.940737\pi$
$798$	−13.4726	−	17.7653i	−0.476926	−	0.628886i
$799$	5.79166	−	13.0083i	0.204894	−	0.460200i
$800$	−4.99443	−	0.236020i	−0.176580	−	0.00834455i
$801$	2.65197	−	1.31362i	0.0937028	−	0.0464144i
$802$	−19.2157	+	13.9610i	−0.678531	+	0.492981i
$803$	3.12862	−	0.665009i	0.110407	−	0.0234677i
$804$	0.0207007	+	1.00890i	0.000730056	+	0.0355812i
$805$	−11.4435	−	20.9478i	−0.403331	−	0.738313i
$806$	7.29909	+	4.82917i	0.257099	+	0.170100i
$807$	−4.66667	+	15.4328i	−0.164274	+	0.543261i
$808$	−9.73389	+	3.16273i	−0.342437	+	0.111265i
$809$	45.9210	−	9.76080i	1.61449	−	0.343171i	0.689835	−	0.723966i	$-0.257683\pi$
$809$	45.9210	−	9.76080i	1.61449	−	0.343171i	0.924660	+	0.380795i	$0.124350\pi$
$810$	−0.930832	+	20.1031i	−0.0327061	+	0.706350i
$811$	−11.5314	+	19.9730i	−0.404922	+	0.701345i	−0.994312	−	0.106503i	$-0.966035\pi$
$811$	−11.5314	+	19.9730i	−0.404922	+	0.701345i	0.589390	+	0.807848i	$0.299368\pi$
$812$	0.111012	−	0.0640930i	0.00389577	−	0.00224922i
$813$	18.5712	+	16.0442i	0.651322	+	0.562693i
$814$	−5.60867	−	4.07494i	−0.196584	−	0.142827i
$815$	27.2248	−	35.6694i	0.953642	−	1.24944i
$816$	3.65316	+	2.01038i	0.127886	+	0.0703775i
$817$	0.522392	+	4.97023i	0.0182762	+	0.173886i
$818$	2.80215	+	2.52307i	0.0979749	+	0.0882170i
$819$	−10.5006	+	1.54139i	−0.366920	+	0.0538605i
$820$	−9.82896	−	23.5578i	−0.343242	−	0.822675i
$821$	−8.50101	+	26.1634i	−0.296687	+	0.913109i	0.685962	+	0.727637i	$0.259381\pi$
$821$	−8.50101	+	26.1634i	−0.296687	+	0.913109i	−0.982650	+	0.185472i	$0.940619\pi$
$822$	−13.2352	+	19.0255i	−0.461630	+	0.663591i
$823$	4.71534	−	44.8634i	0.164366	−	1.56384i	−0.532369	−	0.846512i	$-0.678698\pi$
$823$	4.71534	−	44.8634i	0.164366	−	1.56384i	0.696735	−	0.717328i	$-0.254635\pi$
$824$	−1.04400	+	0.940021i	−0.0363695	+	0.0327472i
$825$	24.8108	+	0.662763i	0.863801	+	0.0230744i
$826$	−1.47256	−	14.0105i	−0.0512370	−	0.487487i
$827$	3.36760	−	15.8433i	0.117103	−	0.550926i	−0.880007	−	0.474960i	$-0.842463\pi$
$827$	3.36760	−	15.8433i	0.117103	−	0.550926i	0.997110	−	0.0759661i	$-0.0242041\pi$
$828$	2.38507	−	14.0282i	0.0828868	−	0.487513i
$829$	−27.1071	+	37.3098i	−0.941470	+	1.29582i	0.0137436	+	0.999906i	$0.495625\pi$
$829$	−27.1071	+	37.3098i	−0.941470	+	1.29582i	−0.955214	+	0.295917i	$0.904375\pi$
$830$	−7.33867	+	0.596541i	−0.254729	+	0.0207062i
$831$	46.5876	−	10.9059i	1.61611	−	0.378323i
$832$	0.785953	−	1.36131i	0.0272480	−	0.0471950i
$833$	2.73797	+	3.76849i	0.0948651	+	0.130571i
$834$	14.7321	+	1.24345i	0.510131	+	0.0430572i
$835$	3.45274	+	3.25971i	0.119487	+	0.112807i
$836$	−16.3923			−0.566940
$837$	−27.5208	−	8.92231i	−0.951257	−	0.308400i
$838$			12.5258i			0.432698i
$839$	−8.12799	+	2.64094i	−0.280609	+	0.0911755i	−0.445941	−	0.895063i	$-0.647131\pi$
$839$	−8.12799	+	2.64094i	−0.280609	+	0.0911755i	0.165331	+	0.986238i	$0.447131\pi$
$840$	3.52064	+	7.97382i	0.121474	+	0.275123i
$841$	23.4589	−	17.0439i	0.808926	−	0.587719i
$842$	7.44039	−	12.8871i	0.256413	−	0.444120i
$843$	10.9164	+	46.6322i	0.375981	+	1.60610i
$844$	9.54536	+	4.24987i	0.328565	+	0.146287i
$845$	−3.01310	+	23.3502i	−0.103654	+	0.803271i
$846$	17.4932	+	2.97418i	0.601428	+	0.102255i
$847$	−1.30385	+	6.13411i	−0.0448007	+	0.210771i
$848$	3.99312	−	0.419693i	0.137124	−	0.0144123i
$849$	−33.1406	+	20.0513i	−1.13738	+	0.688158i
$850$	−1.94409	−	11.8791i	−0.0666819	−	0.407451i
$851$	11.4109	+	1.19933i	0.391161	+	0.0411126i
$852$	−15.2285	+	21.8910i	−0.521721	+	0.749972i
$853$	−37.4697	−	12.1746i	−1.28294	−	0.416852i	−0.413324	−	0.910584i	$-0.635632\pi$
$853$	−37.4697	−	12.1746i	−1.28294	−	0.416852i	−0.869614	+	0.493732i	$0.835632\pi$
$854$	0.661045	−	6.28942i	0.0226205	−	0.215220i
$855$	−30.6437	+	23.0901i	−1.04799	+	0.789663i
$856$	6.88480	−	7.64635i	0.235318	−	0.261347i
$857$	−0.859973	−	8.18209i	−0.0293761	−	0.279495i	−0.999343	−	0.0362561i	$-0.988457\pi$
$857$	−0.859973	−	8.18209i	−0.0293761	−	0.279495i	0.969966	−	0.243239i	$-0.0782099\pi$
$858$	−3.76198	+	6.83607i	−0.128432	+	0.233379i
$859$	−3.64017	−	8.17595i	−0.124201	−	0.278960i	0.840734	−	0.541448i	$-0.182124\pi$
$859$	−3.64017	−	8.17595i	−0.124201	−	0.278960i	−0.964935	+	0.262488i	$0.915457\pi$
$860$	0.250040	−	1.93770i	0.00852629	−	0.0660750i
$861$	−29.0913	+	33.6733i	−0.991428	+	1.14758i
$862$	−29.0526	+	16.7735i	−0.989536	+	0.571309i
$863$	−5.22805	−	3.01841i	−0.177965	−	0.102748i	0.408371	−	0.912816i	$-0.366097\pi$
$863$	−5.22805	−	3.01841i	−0.177965	−	0.102748i	−0.586336	+	0.810068i	$0.699430\pi$
$864$	−1.29870	+	5.03124i	−0.0441828	+	0.171166i
$865$	23.0608	+	26.8607i	0.784090	+	0.913290i
$866$	−2.94786	−	9.07257i	−0.100172	−	0.308298i
$867$	5.61702	−	18.5757i	0.190764	−	0.630863i
$868$	−12.3927	+	1.85451i	−0.420636	+	0.0629461i
$869$			20.8810i			0.708341i
$870$	−0.109705	−	0.191380i	−0.00371933	−	0.00648837i
$871$	0.190408	+	0.895800i	0.00645173	+	0.0303530i
$872$	15.1177	−	10.9837i	0.511951	−	0.371954i
$873$	−0.146470	−	0.295698i	−0.00495724	−	0.0100078i
$874$	23.4949	−	13.5648i	0.794728	−	0.458836i
$875$	11.8356	−	22.2049i	0.400116	−	0.750663i
$876$	1.54024	−	1.16806i	0.0520398	−	0.0394652i
$877$	−3.10913	−	6.98322i	−0.104988	−	0.235806i	0.853411	−	0.521238i	$-0.174530\pi$
$877$	−3.10913	−	6.98322i	−0.104988	−	0.235806i	−0.958399	+	0.285432i	$0.907863\pi$
$878$	−13.6311	−	2.89737i	−0.460026	−	0.0977815i
$879$	45.9839	+	8.79234i	1.55100	+	0.296558i
$880$	6.23517	+	1.48000i	0.210187	+	0.0498907i
$881$	30.3605	+	33.7188i	1.02287	+	1.13602i	0.990635	+	0.136535i	$0.0435966\pi$
$881$	30.3605	+	33.7188i	1.02287	+	1.13602i	0.0322376	+	0.999480i	$0.489737\pi$
$882$	−3.70387	+	4.46939i	−0.124716	+	0.150492i
$883$	8.42594	−	25.9324i	0.283555	−	0.872694i	−0.703272	−	0.710920i	$-0.748279\pi$
$883$	8.42594	−	25.9324i	0.283555	−	0.872694i	0.986828	−	0.161774i	$-0.0517214\pi$
$884$	3.59905	+	1.16940i	0.121049	+	0.0393312i
$885$	−24.1181	+	2.45946i	−0.810722	+	0.0826737i
$886$	7.27002	+	8.07417i	0.244241	+	0.271257i
$887$	−21.5941	+	23.9826i	−0.725058	+	0.805258i	−0.987152	−	0.159784i	$-0.948920\pi$
$887$	−21.5941	+	23.9826i	−0.725058	+	0.805258i	0.262094	+	0.965042i	$0.415587\pi$
$888$	−4.11529	−	0.786864i	−0.138100	−	0.0264054i
$889$	8.94438	−	42.0800i	0.299985	−	1.41132i
$890$	−1.75348	−	1.33835i	−0.0587767	−	0.0448615i
$891$	5.93300	−	25.1017i	0.198763	−	0.840939i
$892$	−23.1866	−	10.3234i	−0.776346	−	0.345651i
$893$	16.9153	+	29.2982i	0.566050	+	0.980427i
$894$	−4.57423	+	4.29180i	−0.152985	+	0.143539i
$895$	36.0802	+	17.0957i	1.20603	+	0.571446i
$896$	0.467922	+	2.20140i	0.0156322	+	0.0735436i
$897$	−0.264911	−	12.9111i	−0.00884511	−	0.431090i
$898$	−12.7197			−0.424463
$899$	0.307006	−	0.0794593i	0.0102392	−	0.00265012i
$900$	13.7407	−	6.01609i	0.458023	−	0.200536i
$901$	2.98699	+	9.19302i	0.0995112	+	0.306264i
$902$	6.80210	+	32.0014i	0.226485	+	1.06553i
$903$	−3.21701	+	1.11873i	−0.107055	+	0.0372292i
$904$	−0.618729	+	1.07167i	−0.0205786	+	0.0356432i
$905$	−10.4872	−	6.38954i	−0.348605	−	0.212396i
$906$	−27.6025	−	23.8465i	−0.917033	−	0.792248i
$907$	−31.2247	+	42.9772i	−1.03680	+	1.42703i	−0.137084	+	0.990559i	$0.543773\pi$
$907$	−31.2247	+	42.9772i	−1.03680	+	1.42703i	−0.899717	+	0.436474i	$0.856227\pi$
$908$	−19.4901	+	8.67757i	−0.646803	+	0.287975i
$909$	21.9559	−	21.4640i	0.728232	−	0.711915i
$910$	4.49732	+	6.50775i	0.149085	+	0.215730i
$911$	−15.1422	+	16.8171i	−0.501684	+	0.557176i	−0.939792	−	0.341746i	$-0.888982\pi$
$911$	−15.1422	+	16.8171i	−0.501684	+	0.557176i	0.438109	+	0.898922i	$0.355648\pi$
$912$	−8.96580	+	4.21429i	−0.296887	+	0.139549i
$913$	9.38516	+	0.986420i	0.310604	+	0.0326457i
$914$	−2.53831	+	7.81211i	−0.0839598	+	0.258402i
$915$	−10.8198	−	1.17108i	−0.357691	−	0.0387147i
$916$	−23.3544	−	2.45465i	−0.771651	−	0.0811038i
$917$	−15.9610	−	17.7265i	−0.527078	−	0.585380i
$918$	−12.4977	−	0.539917i	−0.412487	−	0.0178199i
$919$	−2.95412	−	28.1066i	−0.0974475	−	0.927151i	−0.928594	−	0.371097i	$-0.878982\pi$
$919$	−2.95412	−	28.1066i	−0.0974475	−	0.927151i	0.831147	−	0.556053i	$-0.187685\pi$
$920$	−10.1615	+	3.03840i	−0.335015	+	0.100173i
$921$	−15.4905	+	1.95015i	−0.510428	+	0.0642597i
$922$	20.7668	+	15.0880i	0.683919	+	0.496896i
$923$	−9.84355	+	22.1090i	−0.324004	+	0.727726i
$924$	−2.54641	−	10.8777i	−0.0837707	−	0.357848i
$925$	5.54634	+	10.7484i	0.182362	+	0.353405i
$926$	−25.4444	+	18.4865i	−0.836156	+	0.607503i
$927$	1.55483	−	3.91723i	0.0510673	−	0.128659i
$928$	−0.0176006	−	0.0541692i	−0.000577769	−	0.00177819i
$929$	−17.2851			−0.567107			−0.283553	−	0.958956i	$-0.591513\pi$
$929$	−17.2851			−0.567107			−0.283553	+	0.958956i	$0.591513\pi$
$930$	3.12536	+	21.3362i	0.102484	+	0.699641i
$931$	−11.0670			−0.362707
$932$	−5.62150	−	17.3012i	−0.184138	−	0.566719i
$933$	−21.2648	−	1.79484i	−0.696177	−	0.0587603i
$934$	28.7279	−	20.8721i	0.940006	−	0.682954i
$935$	−0.364228	+	15.4235i	−0.0119115	+	0.504403i
$936$	−0.300139	+	4.70616i	−0.00981034	+	0.153826i
$937$	−9.63949	+	21.6506i	−0.314908	+	0.707296i	−0.999772	−	0.0213760i	$-0.993195\pi$
$937$	−9.63949	+	21.6506i	−0.314908	+	0.707296i	0.684863	+	0.728672i	$0.259862\pi$
$938$	−1.06080	−	0.770714i	−0.0346362	−	0.0251647i
$939$	−4.07930	−	32.4027i	−0.133123	−	1.05742i
$940$	−3.78888	−	12.6714i	−0.123580	−	0.413296i
$941$	−0.792916	−	7.54409i	−0.0258483	−	0.245930i	−0.999815	−	0.0192388i	$-0.993876\pi$
$941$	−0.792916	−	7.54409i	−0.0258483	−	0.245930i	0.973967	−	0.226692i	$-0.0727910\pi$
$942$	6.59112	−	3.98786i	0.214750	−	0.129932i
$943$	−36.2308	−	40.2384i	−1.17984	−	1.31034i
$944$	−6.22528	−	0.654303i	−0.202616	−	0.0212957i
$945$	−20.0824	−	16.7478i	−0.653280	−	0.544805i
$946$	−0.773811	+	2.38154i	−0.0251588	+	0.0774307i
$947$	−1.40936	−	0.148129i	−0.0457979	−	0.00481355i	0.0816018	−	0.996665i	$-0.473996\pi$
$947$	−1.40936	−	0.148129i	−0.0457979	−	0.00481355i	−0.127400	+	0.991851i	$0.540663\pi$
$948$	5.36829	+	11.4209i	0.174354	+	0.370934i
$949$	1.17387	−	1.30372i	0.0381055	−	0.0423205i
$950$	25.5479	+	12.8524i	0.828884	+	0.416987i
$951$	−4.62491	+	8.40414i	−0.149973	+	0.272523i
$952$	−4.94970	+	2.20375i	−0.160421	+	0.0714239i
$953$	−7.76602	+	10.6890i	−0.251566	+	0.346251i	−0.916059	−	0.401044i	$-0.868648\pi$
$953$	−7.76602	+	10.6890i	−0.251566	+	0.346251i	0.664493	+	0.747295i	$0.268648\pi$
$954$	−10.1757	+	6.44549i	−0.329452	+	0.208680i
$955$	−27.8972	−	16.9970i	−0.902731	−	0.550009i
$956$	−1.74137	+	3.01614i	−0.0563198	+	0.0975488i
$957$	0.0928659	+	0.267043i	0.00300193	+	0.00863228i
$958$	2.56980	+	12.0900i	0.0830265	+	0.390609i
$959$	−9.30594	−	28.6407i	−0.300504	−	0.924857i
$960$	3.79082	−	0.793508i	0.122348	−	0.0256103i
$961$	−30.7704	−	3.76627i	−0.992592	−	0.121493i
$962$	−3.80246			−0.122596
$963$	−8.32638	+	29.7233i	−0.268314	+	0.957820i
$964$	−0.0943948	−	0.444092i	−0.00304025	−	0.0143033i
$965$	−19.1123	+	40.3361i	−0.615247	+	1.29847i
$966$	12.6511	+	13.4836i	0.407043	+	0.433829i
$967$	−27.4762	−	47.5903i	−0.883577	−	1.53040i	−0.847336	−	0.531056i	$-0.821795\pi$
$967$	−27.4762	−	47.5903i	−0.883577	−	1.53040i	−0.0362402	−	0.999343i	$-0.511538\pi$
$968$	2.54556	+	1.13336i	0.0818173	+	0.0364274i
$969$	−14.4116	−	19.0035i	−0.462967	−	0.610480i
$970$	−0.149227	+	0.195515i	−0.00479139	+	0.00627759i
$971$	10.3611	−	48.7451i	0.332503	−	1.56430i	−0.421125	−	0.907003i	$-0.638365\pi$
$971$	10.3611	−	48.7451i	0.332503	−	1.56430i	0.753628	−	0.657301i	$-0.228302\pi$
$972$	−3.20832	−	15.2547i	−0.102907	−	0.489296i
$973$	−12.8544	+	14.2762i	−0.412093	+	0.457675i
$974$	6.08224	+	6.75501i	0.194888	+	0.216445i
$975$	11.2230	−	7.70464i	0.359423	−	0.246746i
$976$	−2.67244	−	0.868328i	−0.0855427	−	0.0277945i
$977$	−13.9312	+	42.8757i	−0.445697	+	1.37171i	0.436020	+	0.899937i	$0.356388\pi$
$977$	−13.9312	+	42.8757i	−0.445697	+	1.37171i	−0.881717	+	0.471778i	$0.843612\pi$
$978$	−13.4829	+	32.0361i	−0.431135	+	1.02440i
$979$	1.89178	+	2.10103i	0.0604616	+	0.0671494i
$980$	4.20958	+	0.999199i	0.134470	+	0.0319182i
$981$	−26.0148	+	49.6580i	−0.830589	+	1.58546i
$982$	13.3640	+	2.84060i	0.426462	+	0.0906473i
$983$	6.72977	+	15.1153i	0.214646	+	0.482104i	0.988492	−	0.151270i	$-0.0483363\pi$
$983$	6.72977	+	15.1153i	0.214646	+	0.482104i	−0.773846	+	0.633374i	$0.781670\pi$
$984$	11.9476	+	15.7544i	0.380876	+	0.502233i
$985$	−0.218508	+	0.0177619i	−0.00696225	+	0.000565943i
$986$	0.118749	−	0.0685599i	0.00378175	−	0.00218339i
$987$	−16.8141	+	15.7759i	−0.535199	+	0.502154i
$988$	−7.27377	+	5.28470i	−0.231409	+	0.168129i
$989$	−0.861657	−	4.05378i	−0.0273991	−	0.128903i
$990$	−18.7326	+	4.32410i	−0.595362	+	0.137429i
$991$			38.7653i			1.23142i	0.787973	+	0.615710i	$0.211131\pi$
$991$			38.7653i			1.23142i	−0.787973	+	0.615710i	$0.788869\pi$
$992$	−0.338849	+	5.55744i	−0.0107585	+	0.176449i
$993$	44.2465	+	13.3795i	1.40412	+	0.424586i
$994$	−10.7075	−	32.9543i	−0.339622	−	1.04525i
$995$	−15.9525	+	13.6957i	−0.505727	+	0.434184i
$996$	5.38682	−	1.87330i	0.170688	−	0.0593578i
$997$	22.9330	+	13.2403i	0.726294	+	0.419326i	0.817065	−	0.576546i	$-0.195600\pi$
$997$	22.9330	+	13.2403i	0.726294	+	0.419326i	−0.0907709	+	0.995872i	$0.528933\pi$
$998$	14.4170	−	8.32367i	0.456363	−	0.263481i
$999$	12.1108	−	3.36462i	0.383170	−	0.106452i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.b.179.16	yes	256
3.2	odd	2		930.2.bo.a.179.11	✓	256
5.4	even	2		930.2.bo.a.179.17	yes	256
15.14	odd	2	inner	930.2.bo.b.179.22	yes	256
31.22	odd	30	inner	930.2.bo.b.239.22	yes	256
93.53	even	30		930.2.bo.a.239.17	yes	256
155.84	odd	30		930.2.bo.a.239.11	yes	256
465.239	even	30	inner	930.2.bo.b.239.16	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.11	✓	256	3.2	odd	2
930.2.bo.a.179.17	yes	256	5.4	even	2
930.2.bo.a.239.11	yes	256	155.84	odd	30
930.2.bo.a.239.17	yes	256	93.53	even	30
930.2.bo.b.179.16	yes	256	1.1	even	1	trivial
930.2.bo.b.179.22	yes	256	15.14	odd	2	inner
930.2.bo.b.239.16	yes	256	465.239	even	30	inner
930.2.bo.b.239.22	yes	256	31.22	odd	30	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.145674 + 1.72591i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23544 - 0.0527903i) q^{5} +(1.68646 - 0.394792i) q^{6} +(-0.915394 + 2.05601i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.95756 - 0.502843i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-0.145674 + 1.72591i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-2.23544 - 0.0527903i) q^{5} +(1.68646 - 0.394792i) q^{6} +(-0.915394 + 2.05601i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-2.95756 - 0.502843i) q^{9} +(0.640584 + 2.14235i) q^{10} +(-0.299571 - 2.85023i) q^{11} +(-0.896614 - 1.48192i) q^{12} +(-1.05181 - 1.16815i) q^{13} +(2.23825 + 0.235250i) q^{14} +(0.416759 - 3.85050i) q^{15} +(0.309017 - 0.951057i) q^{16} +(2.39425 + 0.251645i) q^{17} +(0.435704 + 2.96819i) q^{18} +(-3.82724 + 4.25058i) q^{19} +(1.83954 - 1.27125i) q^{20} +(-3.41514 - 1.87940i) q^{21} +(-2.61815 + 1.16568i) q^{22} +(2.78796 - 3.83730i) q^{23} +(-1.13232 + 1.31067i) q^{24} +(4.99443 + 0.236020i) q^{25} +(-0.785953 + 1.36131i) q^{26} +(1.29870 - 5.03124i) q^{27} +(-0.467922 - 2.20140i) q^{28} +(0.0176006 + 0.0541692i) q^{29} +(-3.79082 + 0.793508i) q^{30} +(0.338849 - 5.55744i) q^{31} -1.00000 q^{32} +(4.96289 - 0.101829i) q^{33} +(-0.500534 - 2.35483i) q^{34} +(2.15485 - 4.54777i) q^{35} +(2.68828 - 1.33160i) q^{36} +(1.20950 + 2.09492i) q^{37} +(5.22523 + 2.32642i) q^{38} +(2.16936 - 1.64516i) q^{39} +(-1.77748 - 1.35667i) q^{40} +(2.37344 - 11.1661i) q^{41} +(-0.732077 + 3.82876i) q^{42} +(0.584653 - 0.649323i) q^{43} +(1.91768 + 2.12980i) q^{44} +(6.58491 + 1.28021i) q^{45} +(-4.51102 - 1.46572i) q^{46} +(1.82775 - 5.62525i) q^{47} +(1.59643 + 0.671881i) q^{48} +(1.29469 + 1.43790i) q^{49} +(-1.31889 - 4.82292i) q^{50} +(-0.783099 + 4.09560i) q^{51} +(1.53756 + 0.326818i) q^{52} +(1.63309 + 3.66799i) q^{53} +(-5.18631 + 0.319597i) q^{54} +(0.519210 + 6.38734i) q^{55} +(-1.94906 + 1.12529i) q^{56} +(-6.77861 - 7.22469i) q^{57} +(0.0460790 - 0.0334784i) q^{58} +(-1.30144 - 6.12278i) q^{59} +(1.92610 + 3.36008i) q^{60} -2.80997i q^{61} +(-5.39015 + 1.39508i) q^{62} +(3.74118 - 5.62046i) q^{63} +(0.309017 + 0.951057i) q^{64} +(2.28960 + 2.66687i) q^{65} +(-1.63046 - 4.68852i) q^{66} +(-0.504557 - 0.291306i) q^{67} +(-2.08490 + 1.20372i) q^{68} +(6.21672 + 5.37078i) q^{69} +(-4.99107 - 0.644046i) q^{70} +(-6.26217 - 14.0651i) q^{71} +(-2.09715 - 2.14522i) q^{72} +(0.116659 + 1.10994i) q^{73} +(1.61863 - 1.79767i) q^{74} +(-1.13491 + 8.58557i) q^{75} +(0.597874 - 5.68839i) q^{76} +(6.13431 + 1.99316i) q^{77} +(-2.23501 - 1.55480i) q^{78} +(-7.24605 - 0.761591i) q^{79} +(-0.740997 + 2.10972i) q^{80} +(8.49430 + 2.97437i) q^{81} +(-11.3531 + 1.19326i) q^{82} +(-0.684607 + 3.22082i) q^{83} +(3.86759 - 0.486906i) q^{84} +(-5.33892 - 0.688932i) q^{85} +(-0.798210 - 0.355386i) q^{86} +(-0.0960553 + 0.0224861i) q^{87} +(1.43296 - 2.48197i) q^{88} +(-0.798091 + 0.579847i) q^{89} +(-0.817300 - 6.65823i) q^{90} +(3.36456 - 1.09321i) q^{91} +4.74317i q^{92} +(9.54231 + 1.39440i) q^{93} -5.91474 q^{94} +(8.77998 - 9.29990i) q^{95} +(0.145674 - 1.72591i) q^{96} +(0.0646535 + 0.0889879i) q^{97} +(0.967444 - 1.67566i) q^{98} +(-0.547218 + 8.58035i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9	\( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q + 64 * q^2 - 64 * q^4 + 2 * q^5 + 64 * q^8 + 4 * q^9 - 2 * q^10 - 10 * q^15 - 64 * q^16 + 6 * q^17 + 6 * q^18 - 4 * q^19 - 3 * q^20 - 20 * q^23 - 2 * q^25 + 42 * q^31 - 256 * q^32 - 8 * q^33 + 14 * q^34 + 16 * q^35 + 4 * q^36 - 36 * q^38 + 8 * q^39 + 3 * q^40 + 55 * q^45 - 10 * q^46 + 6 * q^47 - 40 * q^49 + 7 * q^50 + 68 * q^51 + 34 * q^53 + 6 * q^57 + 10 * q^60 - 2 * q^62 + 72 * q^63 - 64 * q^64 + 8 * q^66 + 6 * q^68 + 10 * q^69 - 16 * q^70 + 6 * q^72 - 80 * q^75 - 24 * q^76 - 100 * q^77 - 8 * q^78 + 40 * q^79 + 2 * q^80 + 12 * q^81 + 26 * q^83 - 30 * q^85 - 16 * q^87 - 25 * q^90 - 20 * q^91 + 22 * q^93 + 4 * q^94 - 56 * q^95 - 130 * q^98 + 102 * q^99

Introduction

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