LMFDB - Embedded newform 176.2.w.a.141.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [176,2,Mod(5,176)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(176, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 8]))

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

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

chi := DirichletCharacter("176.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 176 = 2^{4} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	176.w (of order $20$, 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:	$1.40536707557$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$22$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			141.16
Character	$\chi$	$=$	176.141
Dual form			176.2.w.a.5.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.760498 - 1.19233i) q^{2} +(-1.17460 - 0.186039i) q^{3} +(-0.843285 - 1.81352i) q^{4} +(2.66815 + 1.35949i) q^{5} +(-1.11510 + 1.25903i) q^{6} +(2.54995 - 3.50970i) q^{7} +(-2.80363 - 0.373710i) q^{8} +(-1.50808 - 0.490006i) q^{9} +(3.65008 - 2.14742i) q^{10} +(-3.22922 + 0.756392i) q^{11} +(0.653140 + 2.28706i) q^{12} +(2.26954 - 1.15639i) q^{13} +(-2.24548 - 5.70949i) q^{14} +(-2.88110 - 2.09324i) q^{15} +(-2.57774 + 3.05864i) q^{16} +(1.09864 + 3.38125i) q^{17} +(-1.73114 + 1.42548i) q^{18} +(2.57180 + 0.407334i) q^{19} +(0.215457 - 5.98519i) q^{20} +(-3.64812 + 3.64812i) q^{21} +(-1.55395 + 4.42552i) q^{22} -3.11859i q^{23} +(3.22363 + 0.960546i) q^{24} +(2.33188 + 3.20956i) q^{25} +(0.347188 - 3.58546i) q^{26} +(4.85912 + 2.47585i) q^{27} +(-8.51526 - 1.66471i) q^{28} +(1.65447 + 10.4459i) q^{29} +(-4.68690 + 1.84331i) q^{30} +(-1.86623 + 5.74368i) q^{31} +(1.68653 + 5.39959i) q^{32} +(3.93378 - 0.287700i) q^{33} +(4.86707 + 1.26150i) q^{34} +(11.5750 - 5.89778i) q^{35} +(0.383107 + 3.14816i) q^{36} +(2.41053 - 0.381790i) q^{37} +(2.44153 - 2.75665i) q^{38} +(-2.88094 + 0.936075i) q^{39} +(-6.97245 - 4.80862i) q^{40} +(-3.10975 - 4.28020i) q^{41} +(1.57536 + 7.12414i) q^{42} +(-3.57458 + 3.57458i) q^{43} +(4.09489 + 5.21842i) q^{44} +(-3.35764 - 3.35764i) q^{45} +(-3.71838 - 2.37168i) q^{46} +(-2.79285 + 2.02912i) q^{47} +(3.59685 - 3.11313i) q^{48} +(-3.65265 - 11.2417i) q^{49} +(5.60024 - 0.339501i) q^{50} +(-0.661417 - 4.17602i) q^{51} +(-4.01100 - 3.14070i) q^{52} +(-0.557159 - 1.09349i) q^{53} +(6.64737 - 3.91078i) q^{54} +(-9.64436 - 2.37193i) q^{55} +(-8.46071 + 8.88696i) q^{56} +(-2.94507 - 0.956912i) q^{57} +(13.7132 + 5.97144i) q^{58} +(4.36078 - 0.690679i) q^{59} +(-1.36656 + 6.99015i) q^{60} +(2.26959 - 4.45432i) q^{61} +(5.42907 + 6.59322i) q^{62} +(-5.56531 + 4.04343i) q^{63} +(7.72068 + 2.09549i) q^{64} +7.62756 q^{65} +(2.64860 - 4.90914i) q^{66} +(-2.50704 - 2.50704i) q^{67} +(5.20552 - 4.84376i) q^{68} +(-0.580180 + 3.66311i) q^{69} +(1.77072 - 18.2865i) q^{70} +(-8.59341 + 2.79217i) q^{71} +(4.04499 + 1.93738i) q^{72} +(-4.91342 + 6.76274i) q^{73} +(1.37798 - 3.16448i) q^{74} +(-2.14194 - 4.20379i) q^{75} +(-1.43005 - 5.00752i) q^{76} +(-5.57963 + 13.2624i) q^{77} +(-1.07484 + 4.14691i) q^{78} +(4.22272 - 12.9962i) q^{79} +(-11.0360 + 4.65649i) q^{80} +(-1.39838 - 1.01598i) q^{81} +(-7.46835 + 0.452750i) q^{82} +(-6.86992 + 13.4830i) q^{83} +(9.69236 + 3.53955i) q^{84} +(-1.66546 + 10.5153i) q^{85} +(1.54361 + 6.98054i) q^{86} -12.5776i q^{87} +(9.33621 - 0.913851i) q^{88} -13.8320i q^{89} +(-6.55688 + 1.44992i) q^{90} +(1.72863 - 10.9141i) q^{91} +(-5.65564 + 2.62986i) q^{92} +(3.26064 - 6.39936i) q^{93} +(0.295421 + 4.87313i) q^{94} +(6.30819 + 4.58317i) q^{95} +(-0.976468 - 6.65615i) q^{96} +(2.80072 - 8.61973i) q^{97} +(-16.1816 - 4.19414i) q^{98} +(5.24058 + 0.441636i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8} - 16 q^{10} - 12 q^{11} - 6 q^{13} - 12 q^{15} + 14 q^{16} - 12 q^{17} - 44 q^{18} - 6 q^{19} + 2 q^{20} - 28 q^{21} + 50 q^{22} - 38 q^{24}+ \cdots + 92 q^{99}+O(q^{100}) $ 176 * q - 6 * q^2 - 6 * q^3 - 10 * q^4 - 6 * q^5 - 6 * q^6 - 6 * q^8 - 16 * q^10 - 12 * q^11 - 6 * q^13 - 12 * q^15 + 14 * q^16 - 12 * q^17 - 44 * q^18 - 6 * q^19 + 2 * q^20 - 28 * q^21 + 50 * q^22 - 38 * q^24 - 68 * q^26 - 18 * q^27 - 46 * q^28 - 22 * q^29 + 26 * q^30 - 12 * q^31 - 16 * q^32 - 16 * q^33 + 12 * q^34 - 26 * q^35 - 22 * q^36 + 18 * q^37 - 34 * q^38 + 14 * q^40 - 10 * q^42 - 40 * q^43 + 2 * q^44 - 24 * q^45 + 38 * q^46 - 12 * q^47 - 26 * q^48 + 8 * q^49 - 62 * q^50 + 6 * q^51 + 74 * q^52 - 30 * q^53 - 52 * q^54 - 96 * q^56 - 26 * q^58 + 10 * q^59 + 118 * q^60 - 6 * q^61 - 42 * q^62 - 28 * q^63 - 106 * q^64 - 32 * q^65 + 6 * q^66 + 24 * q^67 + 116 * q^68 + 12 * q^69 + 52 * q^70 - 98 * q^72 + 96 * q^74 - 46 * q^75 + 112 * q^76 - 14 * q^77 + 44 * q^78 - 52 * q^79 - 28 * q^80 + 66 * q^82 + 54 * q^83 + 120 * q^84 + 14 * q^85 + 86 * q^86 + 142 * q^88 + 228 * q^90 - 122 * q^91 + 146 * q^92 + 6 * q^93 + 56 * q^94 + 52 * q^95 + 86 * q^96 - 12 * q^97 + 140 * q^98 + 92 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/176\mathbb{Z}\right)^\times$.

$n$	$111$	$133$	$145$
$\chi(n)$	$1$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{3}{5}\right)$

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 $

$2$	0.760498	−	1.19233i	0.537753	−	0.843102i
$2$	0.760498	−	1.19233i	0.537753	−	0.843102i
$3$	−1.17460	−	0.186039i	−0.678158	−	0.107410i	−0.192152	−	0.981365i	$-0.561547\pi$
$3$	−1.17460	−	0.186039i	−0.678158	−	0.107410i	−0.486006	+	0.873955i	$0.661547\pi$
$4$	−0.843285	−	1.81352i	−0.421643	−	0.906762i
$5$	2.66815	+	1.35949i	1.19323	+	0.607983i	0.933806	−	0.357780i	$-0.116466\pi$
$5$	2.66815	+	1.35949i	1.19323	+	0.607983i	0.259427	+	0.965763i	$0.416466\pi$
$6$	−1.11510	+	1.25903i	−0.455239	+	0.513997i
$7$	2.54995	−	3.50970i	0.963789	−	1.32654i	0.0186665	−	0.999826i	$-0.494058\pi$
$7$	2.54995	−	3.50970i	0.963789	−	1.32654i	0.945123	−	0.326716i	$-0.105942\pi$
$8$	−2.80363	−	0.373710i	−0.991233	−	0.132126i
$9$	−1.50808	−	0.490006i	−0.502695	−	0.163335i
$10$	3.65008	−	2.14742i	1.15426	−	0.679073i
$11$	−3.22922	+	0.756392i	−0.973647	+	0.228061i
$11$	−3.22922	+	0.756392i	−0.973647	+	0.228061i
$12$	0.653140	+	2.28706i	0.188545	+	0.660217i
$13$	2.26954	−	1.15639i	0.629456	−	0.320724i	−0.109997	−	0.993932i	$-0.535084\pi$
$13$	2.26954	−	1.15639i	0.629456	−	0.320724i	0.739453	+	0.673208i	$0.235084\pi$
$14$	−2.24548	−	5.70949i	−0.600130	−	1.52592i
$15$	−2.88110	−	2.09324i	−0.743898	−	0.540473i
$16$	−2.57774	+	3.05864i	−0.644435	+	0.764659i
$17$	1.09864	+	3.38125i	0.266458	+	0.820074i	0.991354	+	0.131215i	$0.0418879\pi$
$17$	1.09864	+	3.38125i	0.266458	+	0.820074i	−0.724896	+	0.688859i	$0.758112\pi$
$18$	−1.73114	+	1.42548i	−0.408034	+	0.335989i
$19$	2.57180	+	0.407334i	0.590012	+	0.0934487i	0.444300	−	0.895878i	$-0.353453\pi$
$19$	2.57180	+	0.407334i	0.590012	+	0.0934487i	0.145712	+	0.989327i	$0.453453\pi$
$20$	0.215457	−	5.98519i	0.0481776	−	1.33833i
$21$	−3.64812	+	3.64812i	−0.796085	+	0.796085i
$22$	−1.55395	+	4.42552i	−0.331303	+	0.943524i
$23$		−	3.11859i		−	0.650271i	−0.945667	−	0.325136i	$-0.894590\pi$
$23$		−	3.11859i		−	0.650271i	0.945667	−	0.325136i	$-0.105410\pi$
$24$	3.22363	+	0.960546i	0.658021	+	0.196071i
$25$	2.33188	+	3.20956i	0.466377	+	0.641913i
$26$	0.347188	−	3.58546i	0.0680891	−	0.703167i
$27$	4.85912	+	2.47585i	0.935138	+	0.476477i
$28$	−8.51526	−	1.66471i	−1.60923	−	0.314601i
$29$	1.65447	+	10.4459i	0.307228	+	1.93976i	0.340323	+	0.940308i	$0.389463\pi$
$29$	1.65447	+	10.4459i	0.307228	+	1.93976i	−0.0330954	+	0.999452i	$0.510537\pi$
$30$	−4.68690	+	1.84331i	−0.855708	+	0.336540i
$31$	−1.86623	+	5.74368i	−0.335186	+	1.03160i	0.631445	+	0.775421i	$0.282462\pi$
$31$	−1.86623	+	5.74368i	−0.335186	+	1.03160i	−0.966631	+	0.256175i	$0.917538\pi$
$32$	1.68653	+	5.39959i	0.298139	+	0.954523i
$33$	3.93378	−	0.287700i	0.684783	−	0.0500821i
$34$	4.86707	+	1.26150i	0.834695	+	0.216346i
$35$	11.5750	−	5.89778i	1.95654	−	0.996906i
$36$	0.383107	+	3.14816i	0.0638512	+	0.524694i
$37$	2.41053	−	0.381790i	0.396288	−	0.0627659i	0.0448898	−	0.998992i	$-0.485706\pi$
$37$	2.41053	−	0.381790i	0.396288	−	0.0627659i	0.351398	+	0.936226i	$0.385706\pi$
$38$	2.44153	−	2.75665i	0.396068	−	0.447188i
$39$	−2.88094	+	0.936075i	−0.461320	+	0.149892i
$40$	−6.97245	−	4.80862i	−1.10244	−	0.760310i
$41$	−3.10975	−	4.28020i	−0.485661	−	0.668455i	0.493920	−	0.869508i	$-0.335564\pi$
$41$	−3.10975	−	4.28020i	−0.485661	−	0.668455i	−0.979580	+	0.201053i	$0.935564\pi$
$42$	1.57536	+	7.12414i	0.243084	+	1.09928i
$43$	−3.57458	+	3.57458i	−0.545119	+	0.545119i	−0.925025	−	0.379906i	$-0.875956\pi$
$43$	−3.57458	+	3.57458i	−0.545119	+	0.545119i	0.379906	+	0.925025i	$0.375956\pi$
$44$	4.09489	+	5.21842i	0.617328	+	0.786706i
$45$	−3.35764	−	3.35764i	−0.500527	−	0.500527i
$46$	−3.71838	−	2.37168i	−0.548245	−	0.349686i
$47$	−2.79285	+	2.02912i	−0.407379	+	0.295978i	−0.772540	−	0.634967i	$-0.781014\pi$
$47$	−2.79285	+	2.02912i	−0.407379	+	0.295978i	0.365161	+	0.930944i	$0.381014\pi$
$48$	3.59685	−	3.11313i	0.519161	−	0.449341i
$49$	−3.65265	−	11.2417i	−0.521807	−	1.60596i
$50$	5.60024	−	0.339501i	0.791994	−	0.0480127i
$51$	−0.661417	−	4.17602i	−0.0926169	−	0.584760i
$52$	−4.01100	−	3.14070i	−0.556226	−	0.435536i
$53$	−0.557159	−	1.09349i	−0.0765317	−	0.150202i	0.849570	−	0.527476i	$-0.176861\pi$
$53$	−0.557159	−	1.09349i	−0.0765317	−	0.150202i	−0.926102	+	0.377274i	$0.876861\pi$
$54$	6.64737	−	3.91078i	0.904592	−	0.532190i
$55$	−9.64436	−	2.37193i	−1.30044	−	0.319831i
$56$	−8.46071	+	8.88696i	−1.13061	+	1.18757i
$57$	−2.94507	−	0.956912i	−0.390084	−	0.126746i
$58$	13.7132	+	5.97144i	1.80063	+	0.784088i
$59$	4.36078	−	0.690679i	0.567725	−	0.0899188i	0.134028	−	0.990978i	$-0.457209\pi$
$59$	4.36078	−	0.690679i	0.567725	−	0.0899188i	0.433697	+	0.901059i	$0.357209\pi$
$60$	−1.36656	+	6.99015i	−0.176422	+	0.902425i
$61$	2.26959	−	4.45432i	0.290591	−	0.570317i	−0.698847	−	0.715271i	$-0.746303\pi$
$61$	2.26959	−	4.45432i	0.290591	−	0.570317i	0.989438	+	0.144954i	$0.0463033\pi$
$62$	5.42907	+	6.59322i	0.689493	+	0.837340i
$63$	−5.56531	+	4.04343i	−0.701163	+	0.509425i
$64$	7.72068	+	2.09549i	0.965085	+	0.261936i
$65$	7.62756			0.946083
$66$	2.64860	−	4.90914i	0.326020	−	0.604274i
$67$	−2.50704	−	2.50704i	−0.306284	−	0.306284i	0.537182	−	0.843466i	$-0.319489\pi$
$67$	−2.50704	−	2.50704i	−0.306284	−	0.306284i	−0.843466	+	0.537182i	$0.819489\pi$
$68$	5.20552	−	4.84376i	0.631262	−	0.587392i
$69$	−0.580180	+	3.66311i	−0.0698455	+	0.440987i
$70$	1.77072	−	18.2865i	0.211641	−	2.18565i
$71$	−8.59341	+	2.79217i	−1.01985	+	0.331369i	−0.770770	−	0.637114i	$-0.780128\pi$
$71$	−8.59341	+	2.79217i	−1.01985	+	0.331369i	−0.249080	+	0.968483i	$0.580128\pi$
$72$	4.04499	+	1.93738i	0.476707	+	0.228323i
$73$	−4.91342	+	6.76274i	−0.575072	+	0.791518i	−0.993144	−	0.116895i	$-0.962706\pi$
$73$	−4.91342	+	6.76274i	−0.575072	+	0.791518i	0.418072	+	0.908414i	$0.362706\pi$
$74$	1.37798	−	3.16448i	0.160187	−	0.367864i
$75$	−2.14194	−	4.20379i	−0.247330	−	0.485412i
$76$	−1.43005	−	5.00752i	−0.164039	−	0.574403i
$77$	−5.57963	+	13.2624i	−0.635858	+	1.51139i
$78$	−1.07484	+	4.14691i	−0.121702	+	0.469545i
$79$	4.22272	−	12.9962i	0.475093	−	1.46219i	−0.370740	−	0.928737i	$-0.620896\pi$
$79$	4.22272	−	12.9962i	0.475093	−	1.46219i	0.845833	−	0.533449i	$-0.179104\pi$
$80$	−11.0360	+	4.65649i	−1.23386	+	0.520611i
$81$	−1.39838	−	1.01598i	−0.155376	−	0.112887i
$82$	−7.46835	+	0.452750i	−0.824741	+	0.0499979i
$83$	−6.86992	+	13.4830i	−0.754071	+	1.47995i	0.119282	+	0.992860i	$0.461941\pi$
$83$	−6.86992	+	13.4830i	−0.754071	+	1.47995i	−0.873353	+	0.487088i	$0.838059\pi$
$84$	9.69236	+	3.53955i	1.05752	+	0.386196i
$85$	−1.66546	+	10.5153i	−0.180644	+	1.14054i
$86$	1.54361	+	6.98054i	0.166451	+	0.752730i
$87$		−	12.5776i		−	1.34846i
$88$	9.33621	−	0.913851i	0.995244	−	0.0974168i
$89$		−	13.8320i		−	1.46619i	−0.680127	−	0.733094i	$-0.738075\pi$
$89$		−	13.8320i		−	1.46619i	0.680127	−	0.733094i	$-0.261925\pi$
$90$	−6.55688	+	1.44992i	−0.691155	+	0.152835i
$91$	1.72863	−	10.9141i	0.181209	−	1.14411i
$92$	−5.65564	+	2.62986i	−0.589641	+	0.274182i
$93$	3.26064	−	6.39936i	0.338112	−	0.663583i
$94$	0.295421	+	4.87313i	0.0304704	+	0.502625i
$95$	6.30819	+	4.58317i	0.647207	+	0.470223i
$96$	−0.976468	−	6.65615i	−0.0996603	−	0.679340i
$97$	2.80072	−	8.61973i	0.284370	−	0.875201i	−0.702217	−	0.711963i	$-0.747806\pi$
$97$	2.80072	−	8.61973i	0.284370	−	0.875201i	0.986587	−	0.163238i	$-0.0521937\pi$
$98$	−16.1816	−	4.19414i	−1.63459	−	0.423672i
$99$	5.24058	+	0.441636i	0.526698	+	0.0443861i
$100$	3.85418	−	6.93551i	0.385418	−	0.693551i
$101$	3.44838	+	6.76782i	0.343126	+	0.673423i	0.996498	−	0.0836137i	$-0.0266462\pi$
$101$	3.44838	+	6.76782i	0.343126	+	0.673423i	−0.653372	+	0.757037i	$0.726646\pi$
$102$	−5.48219	−	2.38723i	−0.542818	−	0.236371i
$103$	−3.07396	+	4.23094i	−0.302886	+	0.416887i	−0.933146	−	0.359497i	$-0.882948\pi$
$103$	−3.07396	+	4.23094i	−0.302886	+	0.416887i	0.630260	+	0.776384i	$0.282948\pi$
$104$	−6.79510	+	2.39393i	−0.666314	+	0.234744i
$105$	−14.6933	+	4.77415i	−1.43392	+	0.465909i
$106$	−1.72751	−	0.167279i	−0.167791	−	0.0162475i
$107$	0.444795	−	2.80832i	0.0429999	−	0.271491i	−0.956816	−	0.290695i	$-0.906113\pi$
$107$	0.444795	−	2.80832i	0.0429999	−	0.271491i	0.999816	+	0.0192046i	$0.00611338\pi$
$108$	0.392380	−	10.9000i	0.0377568	−	1.04885i
$109$	−12.7331	−	12.7331i	−1.21961	−	1.21961i	−0.967770	−	0.251836i	$-0.918966\pi$
$109$	−12.7331	−	12.7331i	−1.21961	−	1.21961i	−0.251836	−	0.967770i	$-0.581034\pi$
$110$	−10.1626	+	9.69537i	−0.968968	+	0.924418i
$111$	−2.90244			−0.275488
$112$	4.16180	+	16.8465i	0.393253	+	1.59184i
$113$	7.17110	−	5.21011i	0.674600	−	0.490126i	−0.196962	−	0.980411i	$-0.563107\pi$
$113$	7.17110	−	5.21011i	0.674600	−	0.490126i	0.871562	+	0.490285i	$0.163107\pi$
$114$	−3.38067	+	2.78376i	−0.316629	+	0.260723i
$115$	4.23970	−	8.32087i	0.395354	−	0.775925i
$116$	17.5488	−	11.8093i	1.62936	−	1.09647i
$117$	−3.98929	+	0.631842i	−0.368810	+	0.0584138i
$118$	2.49285	−	5.72473i	0.229485	−	0.527004i
$119$	14.6686	+	4.76613i	1.34467	+	0.436910i
$120$	7.29528	+	6.94538i	0.665965	+	0.634023i
$121$	9.85574	−	4.88511i	0.895977	−	0.444101i
$122$	−3.58499	−	6.09360i	−0.324569	−	0.551688i
$123$	2.85644	+	5.60607i	0.257556	+	0.505483i
$124$	11.9901	−	1.45910i	1.07674	−	0.131031i
$125$	−0.483795	−	3.05456i	−0.0432720	−	0.273208i
$126$	0.588687	+	9.71069i	0.0524444	+	0.865097i
$127$	1.02019	+	3.13982i	0.0905273	+	0.278614i	0.986062	−	0.166377i	$-0.0532068\pi$
$127$	1.02019	+	3.13982i	0.0905273	+	0.278614i	−0.895535	+	0.444991i	$0.853207\pi$
$128$	8.37007	−	7.61196i	0.739817	−	0.672808i
$129$	4.86373	−	3.53371i	0.428228	−	0.311126i
$130$	5.80075	−	9.09455i	0.508759	−	0.797645i
$131$	5.79427	+	5.79427i	0.506247	+	0.506247i	0.913372	−	0.407125i	$-0.133469\pi$
$131$	5.79427	+	5.79427i	0.506247	+	0.506247i	−0.407125	+	0.913372i	$0.633469\pi$
$132$	−3.83905	−	6.89139i	−0.334146	−	0.599818i
$133$	7.98758	−	7.98758i	0.692611	−	0.692611i
$134$	−4.89581	+	1.08261i	−0.422934	+	0.0935234i
$135$	9.59897	+	13.2119i	0.826148	+	1.13710i
$136$	−1.81656	−	9.89035i	−0.155769	−	0.848090i
$137$	13.4631	−	4.37443i	1.15023	−	0.373733i	0.329001	−	0.944330i	$-0.393288\pi$
$137$	13.4631	−	4.37443i	1.15023	−	0.373733i	0.821230	+	0.570597i	$0.193288\pi$
$138$	3.92640	+	3.47755i	0.334237	+	0.296029i
$139$	−4.59808	+	0.728264i	−0.390004	+	0.0617705i	−0.348357	−	0.937362i	$-0.613260\pi$
$139$	−4.59808	+	0.728264i	−0.390004	+	0.0617705i	−0.0416466	+	0.999132i	$0.513260\pi$
$140$	−20.4568	−	16.0181i	−1.72892	−	1.35378i
$141$	3.65799	−	1.86384i	0.308058	−	0.156963i
$142$	−3.20609	+	12.3696i	−0.269049	+	1.03803i
$143$	−6.45416	+	5.45089i	−0.539724	+	0.455826i
$144$	5.38620	−	3.34957i	0.448850	−	0.279131i
$145$	−9.78676	+	30.1206i	−0.812746	+	2.50138i
$146$	4.32675	+	11.0014i	0.358084	+	0.910486i
$147$	2.19902	+	13.8841i	0.181372	+	1.14514i
$148$	−2.72515	−	4.04959i	−0.224006	−	0.332874i
$149$	−11.0716	−	5.64125i	−0.907019	−	0.462149i	−0.0627260	−	0.998031i	$-0.519979\pi$
$149$	−11.0716	−	5.64125i	−0.907019	−	0.462149i	−0.844293	+	0.535881i	$0.819979\pi$
$150$	−6.64123	−	0.643085i	−0.542254	−	0.0525076i
$151$	4.40572	+	6.06396i	0.358533	+	0.493478i	0.949739	−	0.313042i	$-0.101348\pi$
$151$	4.40572	+	6.06396i	0.358533	+	0.493478i	−0.591207	+	0.806520i	$0.701348\pi$
$152$	−7.05816	−	2.10312i	−0.572492	−	0.170586i
$153$		−	5.63755i		−	0.455769i
$154$	11.5698	+	16.7387i	0.932318	+	1.34885i
$155$	−12.7879	+	12.7879i	−1.02715	+	1.02715i
$156$	4.12705	+	4.43528i	0.330429	+	0.355107i
$157$	−10.9215	−	1.72979i	−0.871629	−	0.138053i	−0.295433	−	0.955364i	$-0.595464\pi$
$157$	−10.9215	−	1.72979i	−0.871629	−	0.138053i	−0.576197	+	0.817311i	$0.695464\pi$
$158$	−12.2843	−	14.9184i	−0.977289	−	1.18685i
$159$	0.451010	+	1.38807i	0.0357674	+	0.110081i
$160$	−2.84079	+	16.6997i	−0.224584	+	1.32023i
$161$	−10.9453	−	7.95224i	−0.862612	−	0.626724i
$162$	−2.27485	+	0.894673i	−0.178729	+	0.0702922i
$163$	−1.04658	+	0.533261i	−0.0819748	+	0.0417683i	−0.494497	−	0.869179i	$-0.664648\pi$
$163$	−1.04658	+	0.533261i	−0.0819748	+	0.0417683i	0.412522	+	0.910947i	$0.364648\pi$
$164$	−5.13984	+	9.24903i	−0.401354	+	0.722228i
$165$	10.8870	+	4.58030i	0.847554	+	0.356576i
$166$	10.8515	+	18.4450i	0.842243	+	1.43161i
$167$	−6.10858	−	1.98480i	−0.472696	−	0.153588i	0.0629747	−	0.998015i	$-0.479941\pi$
$167$	−6.10858	−	1.98480i	−0.472696	−	0.153588i	−0.535671	+	0.844427i	$0.679941\pi$
$168$	11.5913	−	8.86464i	0.894289	−	0.683922i
$169$	−3.82764	+	5.26829i	−0.294434	+	0.405253i
$170$	11.2711	+	9.98261i	0.864451	+	0.765631i
$171$	−3.67890	−	1.87449i	−0.281333	−	0.143346i
$172$	9.49699	+	3.46820i	0.724139	+	0.264448i
$173$	7.63165	+	1.20873i	0.580224	+	0.0918984i	0.439646	−	0.898171i	$-0.355104\pi$
$173$	7.63165	+	1.20873i	0.580224	+	0.0918984i	0.140578	+	0.990070i	$0.455104\pi$
$174$	−14.9966	−	9.56527i	−1.13689	−	0.725141i
$175$	17.2108			1.30101
$176$	6.01056	−	11.8268i	0.453063	−	0.891478i
$177$	−5.25068			−0.394666
$178$	−16.4923	−	10.5192i	−1.23615	−	0.788448i
$179$	4.50677	+	0.713801i	0.336851	+	0.0533520i	0.322569	−	0.946546i	$-0.395454\pi$
$179$	4.50677	+	0.713801i	0.336851	+	0.0533520i	0.0142825	+	0.999898i	$0.495454\pi$
$180$	−3.25771	+	8.92060i	−0.242815	+	0.664902i
$181$	−15.0442	−	7.66542i	−1.11823	−	0.569766i	−0.205633	−	0.978629i	$-0.565925\pi$
$181$	−15.0442	−	7.66542i	−1.11823	−	0.569766i	−0.912596	+	0.408863i	$0.865925\pi$
$182$	−11.6986	−	10.3613i	−0.867156	−	0.768027i
$183$	−3.49455	+	4.80983i	−0.258324	+	0.355553i
$184$	−1.16545	+	8.74338i	−0.0859180	+	0.644570i
$185$	6.95069	+	2.25841i	0.511025	+	0.166042i
$186$	−5.15042	−	8.75444i	−0.377647	−	0.641907i
$187$	−6.10529	−	10.0878i	−0.446463	−	0.737694i
$188$	6.03503	+	3.35377i	0.440150	+	0.244599i
$189$	21.0800	−	10.7408i	1.53334	−	0.781277i
$190$	10.2620	−	4.03593i	0.744484	−	0.292797i
$191$	3.01085	+	2.18751i	0.217858	+	0.158283i	0.691362	−	0.722509i	$-0.257011\pi$
$191$	3.01085	+	2.18751i	0.217858	+	0.158283i	−0.473504	+	0.880792i	$0.657011\pi$
$192$	−8.67890	−	3.89772i	−0.626346	−	0.281294i
$193$	4.71086	+	14.4985i	0.339095	+	1.04363i	0.964670	+	0.263463i	$0.0848647\pi$
$193$	4.71086	+	14.4985i	0.339095	+	1.04363i	−0.625574	+	0.780164i	$0.715135\pi$
$194$	−8.14759	−	9.89466i	−0.584963	−	0.710395i
$195$	−8.95937	−	1.41903i	−0.641594	−	0.101618i
$196$	−17.3069	+	16.1041i	−1.23620	+	1.15029i
$197$	−9.29045	+	9.29045i	−0.661917	+	0.661917i	−0.955832	−	0.293915i	$-0.905042\pi$
$197$	−9.29045	+	9.29045i	−0.661917	+	0.661917i	0.293915	+	0.955832i	$0.405042\pi$
$198$	4.51202	−	5.91261i	0.320655	−	0.420191i
$199$		−	16.1227i		−	1.14291i	−0.820634	−	0.571455i	$-0.806379\pi$
$199$		−	16.1227i		−	1.14291i	0.820634	−	0.571455i	$-0.193621\pi$
$200$	−5.33830	−	9.86988i	−0.377475	−	0.697906i
$201$	2.47837	+	3.41119i	0.174811	+	0.240607i
$202$	10.6919	+	1.03532i	0.752282	+	0.0728451i
$203$	40.8809	+	20.8299i	2.86928	+	1.46197i
$204$	−7.01555	+	4.72107i	−0.491187	+	0.330541i
$205$	−2.47838	−	15.6479i	−0.173098	−	1.09290i
$206$	2.70692	+	6.88278i	0.188600	+	0.479546i
$207$	−1.52813	+	4.70310i	−0.106212	+	0.326888i
$208$	−2.31331	+	9.92256i	−0.160399	+	0.688005i
$209$	−8.61302	+	0.629921i	−0.595775	+	0.0435725i
$210$	−5.48189	+	21.1500i	−0.378287	+	1.45949i
$211$	−4.58393	+	2.33563i	−0.315571	+	0.160791i	−0.604601	−	0.796529i	$-0.706667\pi$
$211$	−4.58393	+	2.33563i	−0.315571	+	0.160791i	0.289030	+	0.957320i	$0.406667\pi$
$212$	−1.51322	+	1.93254i	−0.103928	+	0.132728i
$213$	10.6133	−	1.68098i	0.727212	−	0.115179i
$214$	−3.01017	−	2.66606i	−0.205771	−	0.182248i
$215$	−14.3971	+	4.67791i	−0.981877	+	0.319031i
$216$	−12.6979	−	8.75726i	−0.863985	−	0.595856i
$217$	15.3998	+	21.1960i	1.04541	+	1.43888i
$218$	−24.8654	+	5.49850i	−1.68410	+	0.372405i
$219$	7.02945	−	7.02945i	0.475006	−	0.475006i
$220$	3.83139	+	19.4905i	0.258313	+	1.31405i
$221$	6.40343	+	6.40343i	0.430741	+	0.430741i
$222$	−2.20730	+	3.46066i	−0.148144	+	0.232264i
$223$	1.23177	−	0.894936i	0.0824856	−	0.0599293i	−0.545778	−	0.837930i	$-0.683766\pi$
$223$	1.23177	−	0.894936i	0.0824856	−	0.0599293i	0.628264	+	0.778000i	$0.283766\pi$
$224$	23.2515	+	7.84947i	1.55356	+	0.524465i
$225$	−1.94397	−	5.98293i	−0.129598	−	0.398862i
$226$	−0.758544	−	12.5126i	−0.0504576	−	0.832324i
$227$	1.36482	+	8.61712i	0.0905861	+	0.571938i	0.990677	+	0.136235i	$0.0435003\pi$
$227$	1.36482	+	8.61712i	0.0905861	+	0.571938i	−0.900090	+	0.435703i	$0.856500\pi$
$228$	0.748153	+	6.14791i	0.0495477	+	0.407155i
$229$	4.74233	+	9.30735i	0.313382	+	0.615047i	0.992946	−	0.118569i	$-0.0378308\pi$
$229$	4.74233	+	9.30735i	0.313382	+	0.615047i	−0.679564	+	0.733617i	$0.737831\pi$
$230$	−6.69692	−	11.3831i	−0.441582	−	0.750580i
$231$	9.02118	−	14.5400i	0.593550	−	0.956661i
$232$	−0.734781	−	29.9048i	−0.0482407	−	1.96335i
$233$	−4.45466	−	1.44741i	−0.291835	−	0.0948228i	0.159441	−	0.987207i	$-0.449031\pi$
$233$	−4.45466	−	1.44741i	−0.291835	−	0.0948228i	−0.451276	+	0.892385i	$0.649031\pi$
$234$	−2.28049	+	5.23705i	−0.149080	+	0.342357i
$235$	−10.2103	+	1.61715i	−0.666047	+	0.105491i
$236$	−4.92994	−	7.32594i	−0.320912	−	0.476878i
$237$	−7.37782	+	14.4798i	−0.479241	+	0.940563i
$238$	16.8383	−	13.8652i	1.09146	−	0.898746i
$239$	7.41950	−	5.39058i	0.479928	−	0.348688i	−0.321370	−	0.946954i	$-0.604143\pi$
$239$	7.41950	−	5.39058i	0.479928	−	0.348688i	0.801298	+	0.598266i	$0.204143\pi$
$240$	13.8292	−	3.41641i	0.892671	−	0.220528i
$241$	−7.11723			−0.458461			−0.229231	−	0.973372i	$-0.573621\pi$
$241$	−7.11723			−0.458461			−0.229231	+	0.973372i	$0.573621\pi$
$242$	1.67062	−	15.4664i	0.107392	−	0.994217i
$243$	−10.1151	−	10.1151i	−0.648886	−	0.648886i
$244$	−9.99193	−	0.359692i	−0.639668	−	0.0230269i
$245$	5.53716	−	34.9603i	0.353756	−	2.23353i
$246$	8.85659	+	0.857602i	0.564675	+	0.0546787i
$247$	6.30784	−	2.04954i	0.401358	−	0.130409i
$248$	7.37870	−	15.4057i	0.468548	−	0.978264i
$249$	10.5778	−	14.5591i	0.670340	−	0.922644i
$250$	−4.00996	−	1.74615i	−0.253612	−	0.110436i
$251$	−5.94913	−	11.6758i	−0.375506	−	0.736972i	0.623487	−	0.781833i	$-0.285715\pi$
$251$	−5.94913	−	11.6758i	−0.375506	−	0.736972i	−0.998993	+	0.0448618i	$0.985715\pi$
$252$	12.0260	+	6.68305i	0.757567	+	0.420993i
$253$	2.35888	+	10.0706i	0.148301	+	0.633135i
$254$	4.51955	+	1.17143i	0.283582	+	0.0735020i
$255$	3.91250	−	12.0414i	0.245010	−	0.754065i
$256$	−2.71052	−	15.7687i	−0.169407	−	0.985546i
$257$	−22.1556	−	16.0970i	−1.38203	−	1.00410i	−0.996687	−	0.0813269i	$-0.974084\pi$
$257$	−22.1556	−	16.0970i	−1.38203	−	1.00410i	−0.385340	−	0.922775i	$-0.625916\pi$
$258$	−0.514476	−	8.48654i	−0.0320299	−	0.528349i
$259$	4.80674	−	9.43377i	0.298677	−	0.586186i
$260$	−6.43221	−	13.8328i	−0.398909	−	0.857872i
$261$	2.62349	−	16.5640i	0.162390	−	1.02529i
$262$	11.3152	−	2.50213i	0.699055	−	0.154582i
$263$			31.0509i			1.91468i	0.288963	+	0.957340i	$0.406689\pi$
$263$			31.0509i			1.91468i	−0.288963	+	0.957340i	$0.593311\pi$
$264$	−11.1364	−	0.663487i	−0.685396	−	0.0408348i
$265$		−	3.67504i		−	0.225756i
$266$	−3.44926	−	15.5983i	−0.211488	−	0.956395i
$267$	−2.57329	+	16.2471i	−0.157483	+	0.994308i
$268$	−2.43243	+	6.66073i	−0.148584	+	0.406869i
$269$	−3.05039	+	5.98673i	−0.185986	+	0.365017i	−0.965107	−	0.261856i	$-0.915666\pi$
$269$	−3.05039	+	5.98673i	−0.185986	+	0.365017i	0.779121	+	0.626873i	$0.215666\pi$
$270$	23.0528	−	1.39752i	1.40295	−	0.0850505i
$271$	12.9781	+	9.42917i	0.788366	+	0.572781i	0.907478	−	0.420099i	$-0.138005\pi$
$271$	12.9781	+	9.42917i	0.788366	+	0.572781i	−0.119112	+	0.992881i	$0.538005\pi$
$272$	−13.1740	−	5.35566i	−0.798792	−	0.324735i
$273$	−4.06091	+	12.4982i	−0.245777	+	0.756424i
$274$	5.02292	−	19.3792i	0.303446	−	1.17074i
$275$	−9.95786	−	8.60057i	−0.600482	−	0.518634i
$276$	7.13240	−	2.03688i	0.429320	−	0.122606i
$277$	0.0150784	+	0.0295930i	0.000905972	+	0.00177807i	0.891459	−	0.453101i	$-0.149682\pi$
$277$	0.0150784	+	0.0295930i	0.000905972	+	0.00177807i	−0.890553	+	0.454879i	$0.849682\pi$
$278$	−2.62850	+	6.03625i	−0.157647	+	0.362030i
$279$	5.62888	−	7.74749i	0.336992	−	0.463830i
$280$	−34.6562	+	12.2095i	−2.07110	+	0.729656i
$281$	−0.370829	+	0.120490i	−0.0221218	+	0.00718781i	−0.320057	−	0.947398i	$-0.603702\pi$
$281$	−0.370829	+	0.120490i	−0.0221218	+	0.00718781i	0.297935	+	0.954586i	$0.403702\pi$
$282$	0.559589	−	5.77896i	0.0333230	−	0.344132i
$283$	2.14270	−	13.5285i	0.127370	−	0.804186i	−0.838451	−	0.544977i	$-0.816538\pi$
$283$	2.14270	−	13.5285i	0.127370	−	0.804186i	0.965821	−	0.259208i	$-0.0834617\pi$
$284$	12.3104	+	13.2298i	0.730485	+	0.785042i
$285$	−6.55698	−	6.55698i	−0.388402	−	0.388402i
$286$	1.59087	+	11.8409i	0.0940699	+	0.700164i
$287$	−22.9519			−1.35481
$288$	0.102409	−	8.96945i	0.00603450	−	0.528530i
$289$	3.52743	−	2.56282i	0.207496	−	0.150754i
$290$	28.4707	+	34.5756i	1.67186	+	2.03035i
$291$	−4.89334	+	9.60373i	−0.286853	+	0.562980i
$292$	16.4078	+	3.20768i	0.960194	+	0.187715i
$293$	6.43842	−	1.01975i	0.376136	−	0.0595741i	0.0344958	−	0.999405i	$-0.489017\pi$
$293$	6.43842	−	1.01975i	0.376136	−	0.0595741i	0.341641	+	0.939831i	$0.389017\pi$
$294$	18.2267	+	7.93686i	1.06300	+	0.462887i
$295$	12.5742	+	4.08560i	0.732097	+	0.237873i
$296$	−6.90090	+	0.169560i	−0.401107	+	0.00985546i
$297$	−17.5639	−	4.31965i	−1.01916	−	0.250652i
$298$	−15.1461	+	8.91078i	−0.877392	+	0.516188i
$299$	−3.60630	−	7.07776i	−0.208558	−	0.409318i
$300$	−5.81741	+	7.42945i	−0.335868	+	0.428940i
$301$	3.43072	+	21.6607i	0.197743	+	1.24850i
$302$	10.5808	−	0.641433i	0.608854	−	0.0369103i
$303$	−2.79140	−	8.59105i	−0.160362	−	0.493543i
$304$	−7.87532	+	6.81621i	−0.451681	+	0.390937i
$305$	12.1112	−	8.79931i	0.693486	−	0.503847i
$306$	−6.72180	−	4.28735i	−0.384260	−	0.245091i
$307$	−16.8809	−	16.8809i	−0.963441	−	0.963441i	0.0359135	−	0.999355i	$-0.488566\pi$
$307$	−16.8809	−	16.8809i	−0.963441	−	0.963441i	−0.999355	+	0.0359135i	$0.988566\pi$
$308$	28.7568	−	1.06515i	1.63857	−	0.0606928i
$309$	4.39781	−	4.39781i	0.250182	−	0.250182i
$310$	5.52217	+	24.9725i	0.313638	+	1.41834i
$311$	−3.88223	−	5.34344i	−0.220141	−	0.302998i	0.684635	−	0.728886i	$-0.259962\pi$
$311$	−3.88223	−	5.34344i	−0.220141	−	0.302998i	−0.904776	+	0.425888i	$0.859962\pi$
$312$	8.42692	−	1.54777i	0.477080	−	0.0876253i
$313$	−12.2892	+	3.99301i	−0.694628	+	0.225698i	−0.634988	−	0.772522i	$-0.718995\pi$
$313$	−12.2892	+	3.99301i	−0.694628	+	0.225698i	−0.0596394	+	0.998220i	$0.518995\pi$
$314$	−10.3682	+	11.7065i	−0.585114	+	0.660634i
$315$	−20.3461	+	3.22250i	−1.14637	+	0.181568i
$316$	−27.1299	+	3.30150i	−1.52617	+	0.185724i
$317$	−9.64717	+	4.91548i	−0.541839	+	0.276081i	−0.703415	−	0.710779i	$-0.748342\pi$
$317$	−9.64717	+	4.91548i	−0.541839	+	0.276081i	0.161576	+	0.986860i	$0.448342\pi$
$318$	1.99802	+	0.517871i	0.112043	+	0.0290407i
$319$	−13.2439	−	32.4808i	−0.741515	−	1.81858i
$320$	17.7511	+	16.0873i	0.992319	+	0.899306i
$321$	−1.04492	+	3.21592i	−0.0583215	+	0.179495i
$322$	−17.8056	+	7.00273i	−0.992265	+	0.390247i
$323$	1.44818	+	9.14342i	0.0805787	+	0.508754i
$324$	−0.663276	+	3.39276i	−0.0368487	+	0.188487i
$325$	9.00380	+	4.58766i	0.499441	+	0.254478i
$326$	−0.160104	+	1.65341i	−0.00886732	+	0.0915742i
$327$	12.5875	+	17.3252i	0.696088	+	0.958083i
$328$	7.11902	+	13.1622i	0.393082	+	0.726763i
$329$			14.9762i			0.825665i
$330$	13.7408	−	9.49758i	0.756405	−	0.522825i
$331$	1.35496	−	1.35496i	0.0744753	−	0.0744753i	−0.668888	−	0.743363i	$-0.733229\pi$
$331$	1.35496	−	1.35496i	0.0744753	−	0.0744753i	0.743363	+	0.668888i	$0.233229\pi$
$332$	30.2450	+	1.08877i	1.65991	+	0.0597539i
$333$	−3.82236	−	0.605402i	−0.209464	−	0.0331758i
$334$	−7.01209	+	5.77399i	−0.383685	+	0.315939i
$335$	−3.28086	−	10.0975i	−0.179253	−	0.551683i
$336$	−1.75437	−	20.5622i	−0.0957088	−	1.12176i
$337$	8.24065	+	5.98718i	0.448897	+	0.326143i	0.789160	−	0.614188i	$-0.210516\pi$
$337$	8.24065	+	5.98718i	0.448897	+	0.326143i	−0.340263	+	0.940330i	$0.610516\pi$
$338$	3.37061	+	8.57032i	0.183337	+	0.466164i
$339$	−9.39249	+	4.78571i	−0.510130	+	0.259924i
$340$	20.4742	−	5.84703i	1.11037	−	0.317100i
$341$	1.68201	−	19.9592i	0.0910861	−	1.08085i
$342$	−5.03280	+	2.96090i	−0.272143	+	0.160107i
$343$	−19.8877	−	6.46191i	−1.07384	−	0.348911i
$344$	11.3577	−	8.68595i	0.612364	−	0.468315i
$345$	−6.52797	+	8.98498i	−0.351454	+	0.483735i
$346$	7.24506	−	8.18018i	0.389497	−	0.439769i
$347$	15.2539	+	7.77224i	0.818871	+	0.417235i	0.812655	−	0.582745i	$-0.198021\pi$
$347$	15.2539	+	7.77224i	0.818871	+	0.417235i	0.00621576	+	0.999981i	$0.498021\pi$
$348$	−22.8098	+	10.6065i	−1.22274	+	0.568570i
$349$	29.6715	+	4.69951i	1.58828	+	0.251559i	0.887152	−	0.461476i	$-0.152680\pi$
$349$	29.6715	+	4.69951i	1.58828	+	0.251559i	0.701128	+	0.713035i	$0.252680\pi$
$350$	13.0888	−	20.5209i	0.699624	−	1.09689i
$351$	13.8910			0.741446
$352$	−9.53038	−	16.1608i	−0.507971	−	0.861374i
$353$	23.4351			1.24733			0.623663	−	0.781694i	$-0.285644\pi$
$353$	23.4351			1.24733			0.623663	+	0.781694i	$0.285644\pi$
$354$	−3.99313	+	6.26053i	−0.212233	+	0.332743i
$355$	−26.7244	−	4.23273i	−1.41839	−	0.224650i
$356$	−25.0847	+	11.6643i	−1.32948	+	0.618208i
$357$	−16.3432	−	8.32726i	−0.864972	−	0.440725i
$358$	4.27847	−	4.83069i	0.226124	−	0.255310i
$359$	7.61975	−	10.4877i	0.402155	−	0.553519i	−0.559128	−	0.829081i	$-0.688864\pi$
$359$	7.61975	−	10.4877i	0.402155	−	0.553519i	0.961283	+	0.275562i	$0.0888640\pi$
$360$	8.15879	+	10.6684i	0.430006	+	0.562272i
$361$	−11.6218	−	3.77616i	−0.611675	−	0.198745i
$362$	−20.5808	+	12.1081i	−1.08170	+	0.636388i
$363$	−12.4854	+	3.90452i	−0.655315	+	0.204934i
$364$	−21.2507	+	6.06881i	−1.11384	+	0.318092i
$365$	−22.3036	+	11.3643i	−1.16742	+	0.594832i
$366$	3.07729	+	7.82451i	0.160853	+	0.408994i
$367$	11.3138	+	8.21997i	0.590577	+	0.429079i	0.842522	−	0.538662i	$-0.181070\pi$
$367$	11.3138	+	8.21997i	0.590577	+	0.429079i	−0.251945	+	0.967742i	$0.581070\pi$
$368$	9.53864	+	8.03892i	0.497236	+	0.419058i
$369$	2.59243	+	7.97869i	0.134957	+	0.415354i
$370$	7.97875	−	6.56997i	0.414795	−	0.341556i
$371$	−5.25853	−	0.832870i	−0.273009	−	0.0432404i
$372$	−14.3550	−	0.516757i	−0.744274	−	0.0267926i
$373$	−0.786425	+	0.786425i	−0.0407195	+	0.0407195i	−0.727173	−	0.686454i	$-0.759166\pi$
$373$	−0.786425	+	0.786425i	−0.0407195	+	0.0407195i	0.686454	+	0.727173i	$0.259166\pi$
$374$	−16.6710	−	0.392264i	−0.862038	−	0.0202835i
$375$			3.67791i			0.189926i
$376$	8.58841	−	4.64519i	0.442913	−	0.239557i
$377$	15.8344	+	21.7942i	0.815515	+	1.12246i
$378$	3.22476	−	33.3026i	0.165864	−	1.71290i
$379$	−12.3991	−	6.31766i	−0.636900	−	0.324517i	0.105554	−	0.994414i	$-0.466338\pi$
$379$	−12.3991	−	6.31766i	−0.636900	−	0.324517i	−0.742454	+	0.669897i	$0.766338\pi$
$380$	2.99208	−	15.3050i	0.153491	−	0.785129i
$381$	−0.614190	−	3.87785i	−0.0314659	−	0.198668i
$382$	4.89798	−	1.92632i	0.250602	−	0.0985591i
$383$	10.0795	−	31.0215i	0.515039	−	1.58513i	−0.268173	−	0.963371i	$-0.586420\pi$
$383$	10.0795	−	31.0215i	0.515039	−	1.58513i	0.783211	−	0.621756i	$-0.213580\pi$
$384$	−11.2476	+	7.38388i	−0.573979	+	0.376807i
$385$	−32.9173	+	27.8005i	−1.67762	+	1.41684i
$386$	20.8696	+	5.40922i	1.06223	+	0.275322i
$387$	7.14234	−	3.63921i	0.363066	−	0.184991i
$388$	−17.9939	+	2.18972i	−0.913501	+	0.111166i
$389$	−23.7068	+	3.75478i	−1.20198	+	0.190375i	−0.725132	−	0.688610i	$-0.758221\pi$
$389$	−23.7068	+	3.75478i	−1.20198	+	0.190375i	−0.476849	+	0.878985i	$0.658221\pi$
$390$	−8.50553	+	9.60333i	−0.430694	+	0.486284i
$391$	10.5447	−	3.42619i	0.533271	−	0.173270i
$392$	6.03954	+	32.8826i	0.305043	+	1.66082i
$393$	−5.72801	−	7.88393i	−0.288940	−	0.397692i
$394$	4.01188	+	18.1426i	0.202116	+	0.914012i
$395$	28.9350	−	28.9350i	1.45588	−	1.45588i
$396$	−3.61838	−	9.87634i	−0.181831	−	0.496305i
$397$	14.8596	+	14.8596i	0.745782	+	0.745782i	0.973684	−	0.227902i	$-0.0731867\pi$
$397$	14.8596	+	14.8596i	0.745782	+	0.745782i	−0.227902	+	0.973684i	$0.573187\pi$
$398$	−19.2235	−	12.2613i	−0.963589	−	0.614603i
$399$	−10.8682	+	7.89624i	−0.544093	+	0.395307i
$400$	−15.8279	−	1.14103i	−0.791394	−	0.0570516i
$401$	10.9775	+	33.7853i	0.548191	+	1.68716i	0.713280	+	0.700880i	$0.247209\pi$
$401$	10.9775	+	33.7853i	0.548191	+	1.68716i	−0.165088	+	0.986279i	$0.552791\pi$
$402$	5.95205	−	0.360829i	0.296861	−	0.0179965i
$403$	2.40643	+	15.1936i	0.119873	+	0.756846i
$404$	9.36564	−	11.9609i	0.465958	−	0.595078i
$405$	−2.34987	−	4.61188i	−0.116766	−	0.229166i
$406$	55.9258	−	32.9023i	2.77555	−	1.63291i
$407$	−7.49534	+	3.05619i	−0.371530	+	0.151490i
$408$	0.293747	+	11.9552i	0.0145426	+	0.591871i
$409$	20.9864	+	6.81890i	1.03771	+	0.337173i	0.777835	−	0.628469i	$-0.216318\pi$
$409$	20.9864	+	6.81890i	1.03771	+	0.337173i	0.259877	+	0.965642i	$0.416318\pi$
$410$	−20.5422	−	8.94514i	−1.01451	−	0.441769i
$411$	−16.6276	+	2.63356i	−0.820181	+	0.129904i
$412$	10.2651	+	2.00681i	0.505727	+	0.0988683i
$413$	8.69567	−	17.0662i	0.427886	−	0.839774i
$414$	4.44549	+	5.39873i	0.218484	+	0.265333i
$415$	−36.6599	+	26.6350i	−1.79957	+	1.30746i
$416$	10.0717	+	10.3043i	0.493804	+	0.505210i
$417$	5.53641			0.271119
$418$	−5.79912	+	10.7486i	−0.283644	+	0.525731i
$419$	−23.3907	−	23.3907i	−1.14271	−	1.14271i	−0.987953	−	0.154757i	$-0.950541\pi$
$419$	−23.3907	−	23.3907i	−1.14271	−	1.14271i	−0.154757	−	0.987953i	$-0.549459\pi$
$420$	21.0487	+	22.6207i	1.02707	+	1.10378i
$421$	−5.85700	+	36.9796i	−0.285453	+	1.80228i	0.261597	+	0.965177i	$0.415751\pi$
$421$	−5.85700	+	36.9796i	−0.285453	+	1.80228i	−0.547050	+	0.837100i	$0.684249\pi$
$422$	−0.701238	+	7.24179i	−0.0341357	+	0.352525i
$423$	5.20613	−	1.69157i	0.253131	−	0.0822472i
$424$	1.15342	+	3.27395i	0.0560151	+	0.158997i
$425$	−8.29045	+	11.4108i	−0.402146	+	0.553507i
$426$	6.06712	−	13.9329i	0.293953	−	0.675052i
$427$	−9.84600	−	19.3239i	−0.476481	−	0.935147i
$428$	−5.46805	+	1.56157i	−0.264308	+	0.0754814i
$429$	8.59516	−	5.20191i	0.414978	−	0.251151i
$430$	−5.37139	+	20.7236i	−0.259032	+	0.999382i
$431$	−1.39574	+	4.29566i	−0.0672306	+	0.206914i	−0.979028	−	0.203726i	$-0.934695\pi$
$431$	−1.39574	+	4.29566i	−0.0672306	+	0.206914i	0.911797	+	0.410640i	$0.134695\pi$
$432$	−20.0983	+	8.48020i	−0.966978	+	0.408004i
$433$	4.00781	+	2.91185i	0.192603	+	0.139934i	0.679908	−	0.733298i	$-0.262020\pi$
$433$	4.00781	+	2.91185i	0.192603	+	0.139934i	−0.487304	+	0.873232i	$0.662020\pi$
$434$	36.9841	−	2.24207i	1.77529	−	0.107623i
$435$	17.0992	−	33.5590i	0.819843	−	1.60903i
$436$	−12.3541	+	33.8293i	−0.591654	+	1.62013i
$437$	1.27031	−	8.02040i	0.0607670	−	0.383668i
$438$	−3.03552	−	13.7273i	−0.145043	−	0.655915i
$439$			25.1866i			1.20209i	0.799215	+	0.601045i	$0.205249\pi$
$439$			25.1866i			1.20209i	−0.799215	+	0.601045i	$0.794751\pi$
$440$	26.1528	+	10.2542i	1.24679	+	0.488850i
$441$			18.7432i			0.892535i
$442$	12.5048	−	2.76518i	0.594792	−	0.131526i
$443$	−1.20085	+	7.58186i	−0.0570540	+	0.360225i	0.942600	+	0.333924i	$0.108373\pi$
$443$	−1.20085	+	7.58186i	−0.0570540	+	0.360225i	−0.999654	+	0.0263011i	$0.991627\pi$
$444$	2.44759	+	5.26365i	0.116157	+	0.249802i
$445$	18.8045	−	36.9058i	0.891417	−	1.74950i
$446$	−0.130294	−	2.14927i	−0.00616962	−	0.101771i
$447$	11.9552	+	8.68599i	0.565463	+	0.410833i
$448$	27.0419	−	21.7539i	1.27761	−	1.02777i
$449$	10.0525	−	30.9386i	0.474409	−	1.46008i	−0.372344	−	0.928095i	$-0.621446\pi$
$449$	10.0525	−	30.9386i	0.474409	−	1.46008i	0.846753	−	0.531986i	$-0.178554\pi$
$450$	−8.61200	−	2.23216i	−0.405973	−	0.105225i
$451$	13.2796	+	11.4695i	0.625310	+	0.540079i
$452$	−15.4959	−	8.61136i	−0.728868	−	0.405044i
$453$	−4.04685	−	7.94239i	−0.190137	−	0.373166i
$454$	11.3124	+	4.92600i	0.530916	+	0.231188i
$455$	19.4499	−	26.7705i	0.911824	−	1.25502i
$456$	7.89928	+	3.78343i	0.369918	+	0.177175i
$457$	29.6678	−	9.63964i	1.38780	−	0.450923i	0.482574	−	0.875855i	$-0.339702\pi$
$457$	29.6678	−	9.63964i	1.38780	−	0.450923i	0.905225	+	0.424932i	$0.139702\pi$
$458$	14.7039	+	1.42381i	0.687070	+	0.0665305i
$459$	−3.03306	+	19.1500i	−0.141571	+	0.893844i
$460$	−18.6654	−	0.671921i	−0.870278	−	0.0313285i
$461$	0.972741	+	0.972741i	0.0453051	+	0.0453051i	0.729396	−	0.684091i	$-0.239801\pi$
$461$	0.972741	+	0.972741i	0.0453051	+	0.0453051i	−0.684091	+	0.729396i	$0.739801\pi$
$462$	−10.4758	−	21.8138i	−0.487380	−	1.01487i
$463$	4.02067			0.186856			0.0934281	−	0.995626i	$-0.470217\pi$
$463$	4.02067			0.186856			0.0934281	+	0.995626i	$0.470217\pi$
$464$	−36.2151	−	21.8665i	−1.68124	−	1.01512i
$465$	17.3997	−	12.6416i	0.806893	−	0.586242i
$466$	−5.11355	+	4.21066i	−0.236880	+	0.195055i
$467$	3.72642	−	7.31351i	0.172438	−	0.338429i	−0.788572	−	0.614943i	$-0.789179\pi$
$467$	3.72642	−	7.31351i	0.172438	−	0.338429i	0.961010	+	0.276514i	$0.0891792\pi$
$468$	4.50997	+	6.70185i	0.208474	+	0.309793i
$469$	−15.1918	+	2.40614i	−0.701491	+	0.111105i
$470$	−5.83674	+	13.4039i	−0.269229	+	0.618274i
$471$	12.5066	+	4.06365i	0.576274	+	0.187243i
$472$	−12.4841	+	0.306743i	−0.574628	+	0.0141190i
$473$	8.83934	−	14.2469i	0.406433	−	0.655074i
$474$	11.6538	+	19.8086i	0.535278	+	0.909840i
$475$	4.68978	+	9.20422i	0.215182	+	0.422319i
$476$	−3.72636	−	30.6211i	−0.170797	−	1.40352i
$477$	0.304428	+	1.92208i	0.0139388	+	0.0880060i
$478$	−0.784819	−	12.9460i	−0.0358968	−	0.592136i
$479$	−5.33830	−	16.4296i	−0.243913	−	0.750688i	−0.995813	−	0.0914109i	$-0.970862\pi$
$479$	−5.33830	−	16.4296i	−0.243913	−	0.750688i	0.751900	−	0.659277i	$-0.229138\pi$
$480$	6.44361	−	19.0871i	0.294109	−	0.871203i
$481$	5.02928	−	3.65399i	0.229316	−	0.166608i
$482$	−5.41264	+	8.48606i	−0.246539	+	0.386530i
$483$	11.3770	+	11.3770i	0.517671	+	0.517671i
$484$	−17.1705	−	13.7541i	−0.780476	−	0.625186i
$485$	19.1912	−	19.1912i	0.871426	−	0.871426i
$486$	−19.7531	+	4.36800i	−0.896017	+	0.198137i
$487$	−23.5605	−	32.4282i	−1.06763	−	1.46946i	−0.872455	−	0.488694i	$-0.837473\pi$
$487$	−23.5605	−	32.4282i	−1.06763	−	1.46946i	−0.195172	−	0.980769i	$-0.562527\pi$
$488$	−8.02771	+	11.6401i	−0.363398	+	0.526923i
$489$	1.32853	−	0.431666i	0.0600782	−	0.0195206i
$490$	−37.4731	−	33.1893i	−1.69286	−	1.49934i
$491$	5.71642	−	0.905392i	0.257978	−	0.0408598i	−0.0261055	−	0.999659i	$-0.508311\pi$
$491$	5.71642	−	0.905392i	0.257978	−	0.0408598i	0.284084	+	0.958799i	$0.408311\pi$
$492$	7.75796	−	9.90774i	0.349756	−	0.446675i
$493$	−33.5027	+	17.0705i	−1.50888	+	0.768815i
$494$	2.35338	−	9.07968i	0.105883	−	0.408514i
$495$	13.3822	+	8.30286i	0.601487	+	0.373186i
$496$	−12.7572	−	20.5138i	−0.572814	−	0.921099i
$497$	−12.1131	+	37.2802i	−0.543345	+	1.67224i
$498$	−9.31479	−	23.6843i	−0.417406	−	1.06132i
$499$	2.83844	+	17.9212i	0.127066	+	0.802262i	0.966097	+	0.258179i	$0.0831225\pi$
$499$	2.83844	+	17.9212i	0.127066	+	0.802262i	−0.839031	+	0.544083i	$0.816878\pi$
$500$	−5.13155	+	3.45324i	−0.229490	+	0.154434i
$501$	6.80592	+	3.46779i	0.304066	+	0.154929i
$502$	−18.4457	−	1.78614i	−0.823272	−	0.0797192i
$503$	19.4874	+	26.8221i	0.868899	+	1.19594i	0.979373	+	0.202059i	$0.0647631\pi$
$503$	19.4874	+	26.8221i	0.868899	+	1.19594i	−0.110474	+	0.993879i	$0.535237\pi$
$504$	17.1141	−	9.25648i	0.762324	−	0.412316i
$505$			22.7456i			1.01217i
$506$	13.8014	+	4.84614i	0.613547	+	0.215437i
$507$	5.47607	−	5.47607i	0.243201	−	0.243201i
$508$	4.83383	−	4.49791i	0.214467	−	0.199562i
$509$	−21.9528	−	3.47698i	−0.973041	−	0.154115i	−0.350381	−	0.936607i	$-0.613948\pi$
$509$	−21.9528	−	3.47698i	−0.973041	−	0.154115i	−0.622660	+	0.782493i	$0.713948\pi$
$510$	−11.3819	−	13.8225i	−0.503998	−	0.612070i
$511$	11.2062	+	34.4892i	0.495734	+	1.52571i
$512$	−20.8628	−	8.76027i	−0.922015	−	0.387153i
$513$	11.4882	+	8.34667i	0.507217	+	0.368514i
$514$	−36.0421	+	14.1750i	−1.58975	+	0.625231i
$515$	−13.9537	+	7.10977i	−0.614874	+	0.313294i
$516$	−10.5100	−	5.84057i	−0.462676	−	0.257117i
$517$	7.48391	−	8.66497i	0.329142	−	0.381085i
$518$	−7.59261	−	12.9056i	−0.333600	−	0.567038i
$519$	−8.73930	−	2.83957i	−0.383613	−	0.124643i
$520$	−21.3849	−	2.85050i	−0.937789	−	0.125003i
$521$	16.0685	−	22.1164i	0.703975	−	0.968938i	−0.295931	−	0.955209i	$-0.595630\pi$
$521$	16.0685	−	22.1164i	0.703975	−	0.968938i	0.999906	−	0.0137287i	$-0.00437012\pi$
$522$	−17.7546	−	15.7250i	−0.777098	−	0.688264i
$523$	0.743629	+	0.378898i	0.0325166	+	0.0165680i	0.470173	−	0.882574i	$-0.344191\pi$
$523$	0.743629	+	0.378898i	0.0325166	+	0.0165680i	−0.437657	+	0.899142i	$0.644191\pi$
$524$	5.62182	−	15.3943i	0.245590	−	0.672501i
$525$	−20.2159	−	3.20188i	−0.882293	−	0.139741i
$526$	37.0228	+	23.6141i	1.61427	+	1.02963i
$527$	−21.4711			−0.935297
$528$	−9.26028	+	12.7736i	−0.403002	+	0.555900i
$529$	13.2744			0.577147
$530$	−4.38184	−	2.79486i	−0.190335	−	0.121401i
$531$	−6.91486	−	1.09521i	−0.300079	−	0.0475279i
$532$	−21.2215	−	7.74986i	−0.920067	−	0.335999i
$533$	−12.0073	−	6.11800i	−0.520092	−	0.265000i
$534$	17.4149	+	15.4241i	0.753616	+	0.667466i
$535$	5.00467	−	6.88833i	0.216371	−	0.297809i
$536$	6.09191	+	7.96572i	0.263130	+	0.344067i
$537$	−5.16087	−	1.67687i	−0.222708	−	0.0723622i
$538$	4.81832	+	8.18996i	0.207733	+	0.353094i
$539$	20.2983	+	33.5391i	0.874311	+	1.44463i
$540$	15.8653	−	28.5493i	0.682736	−	1.22857i
$541$	10.2817	−	5.23879i	0.442045	−	0.225233i	−0.218779	−	0.975775i	$-0.570207\pi$
$541$	10.2817	−	5.23879i	0.442045	−	0.225233i	0.660823	+	0.750542i	$0.270207\pi$
$542$	21.1125	−	8.30332i	0.906860	−	0.356658i
$543$	16.2450	+	11.8027i	0.697138	+	0.506500i
$544$	−16.4045	+	11.6348i	−0.703338	+	0.498836i
$545$	−16.6632	−	51.2842i	−0.713775	−	2.19677i
$546$	11.8136	+	14.3468i	0.505576	+	0.613985i
$547$	2.57289	+	0.407506i	0.110009	+	0.0174237i	0.211196	−	0.977444i	$-0.432264\pi$
$547$	2.57289	+	0.407506i	0.110009	+	0.0174237i	−0.101187	+	0.994867i	$0.532264\pi$
$548$	−19.2864	−	20.7268i	−0.823873	−	0.885404i
$549$	−5.60538	+	5.60538i	−0.239232	+	0.239232i
$550$	−17.8276	+	5.33230i	−0.760173	+	0.227370i
$551$			27.5388i			1.17319i
$552$	2.99555	−	10.0532i	0.127499	−	0.427892i
$553$	−34.8450	−	47.9600i	−1.48176	−	2.03947i
$554$	0.0467516	+	0.00452706i	0.00198629	+	0.000192336i
$555$	−7.74415	−	3.94584i	−0.328721	−	0.167492i
$556$	5.19821	+	7.72459i	0.220453	+	0.327596i
$557$	−1.67570	−	10.5800i	−0.0710018	−	0.448288i	−0.997420	−	0.0717908i	$-0.977129\pi$
$557$	−1.67570	−	10.5800i	−0.0710018	−	0.448288i	0.926418	−	0.376497i	$-0.122871\pi$
$558$	−4.95678	−	12.6034i	−0.209837	−	0.533545i
$559$	−3.97905	+	12.2463i	−0.168296	+	0.517961i
$560$	−11.7983	+	50.6068i	−0.498568	+	2.13853i
$561$	5.29457	+	12.9850i	0.223537	+	0.548228i
$562$	−0.138352	+	0.533781i	−0.00583601	+	0.0225162i
$563$	25.1574	−	12.8183i	1.06026	−	0.540228i	0.165237	−	0.986254i	$-0.447161\pi$
$563$	25.1574	−	12.8183i	1.06026	−	0.540228i	0.895020	+	0.446026i	$0.147161\pi$
$564$	−6.46484	−	5.06210i	−0.272219	−	0.213153i
$565$	26.2167	−	4.15231i	1.10294	−	0.174689i
$566$	−14.5009	−	12.8432i	−0.609517	−	0.539840i
$567$	−7.13159	+	2.31719i	−0.299499	+	0.0973130i
$568$	25.1362	−	4.61676i	1.05469	−	0.193715i
$569$	−17.5016	−	24.0889i	−0.733706	−	1.00986i	−0.998956	−	0.0456803i	$-0.985454\pi$
$569$	−17.5016	−	24.0889i	−0.733706	−	1.00986i	0.265250	−	0.964180i	$-0.414546\pi$
$570$	−12.8046	+	2.83149i	−0.536327	+	0.118598i
$571$	22.4613	−	22.4613i	0.939976	−	0.939976i	−0.0583221	−	0.998298i	$-0.518575\pi$
$571$	22.4613	−	22.4613i	0.939976	−	0.939976i	0.998298	+	0.0583221i	$0.0185750\pi$
$572$	15.3280	+	7.10811i	0.640897	+	0.297205i
$573$	−3.12960	−	3.12960i	−0.130741	−	0.130741i
$574$	−17.4549	+	27.3661i	−0.728552	+	1.14224i
$575$	10.0093	−	7.27220i	0.417417	−	0.303272i
$576$	−10.6166	−	6.94336i	−0.442360	−	0.289307i
$577$	−7.94471	−	24.4513i	−0.330743	−	1.01792i	−0.968781	−	0.247917i	$-0.920254\pi$
$577$	−7.94471	−	24.4513i	−0.330743	−	1.01792i	0.638038	−	0.770005i	$-0.279746\pi$
$578$	−0.373124	−	6.15487i	−0.0155199	−	0.256009i
$579$	−2.83610	−	17.9064i	−0.117864	−	0.744167i
$580$	62.8774	−	7.65169i	2.61084	−	0.317719i
$581$	29.8033	+	58.4922i	1.23645	+	2.42666i
$582$	7.72940	+	13.1381i	0.320394	+	0.544591i
$583$	2.62629	+	3.10968i	0.108770	+	0.128790i
$584$	16.3027	−	17.1240i	0.674611	−	0.708597i
$585$	−11.5030	−	3.73755i	−0.475591	−	0.154529i
$586$	3.68053	−	8.45221i	0.152041	−	0.349158i
$587$	13.4583	−	2.13159i	0.555485	−	0.0879801i	0.127620	−	0.991823i	$-0.459266\pi$
$587$	13.4583	−	2.13159i	0.555485	−	0.0879801i	0.427864	+	0.903843i	$0.359266\pi$
$588$	23.3247	−	15.6962i	0.961895	−	0.647301i
$589$	−7.13918	+	14.0114i	−0.294165	+	0.577331i
$590$	14.4340	−	11.8854i	0.594239	−	0.489316i
$591$	12.6410	−	9.18421i	0.519981	−	0.377788i
$592$	−5.04595	+	8.35708i	−0.207387	+	0.343474i
$593$	−27.0923			−1.11255			−0.556273	−	0.830999i	$-0.687769\pi$
$593$	−27.0923			−1.11255			−0.556273	+	0.830999i	$0.687769\pi$
$594$	−18.5077	+	17.6568i	−0.759382	+	0.724467i
$595$	32.6586	+	32.6586i	1.33887	+	1.33887i
$596$	−0.894045	+	24.8358i	−0.0366215	+	1.01731i
$597$	−2.99946	+	18.9378i	−0.122760	+	0.775073i
$598$	−11.1816	−	1.08274i	−0.457249	−	0.0442764i
$599$	−34.7547	+	11.2925i	−1.42004	+	0.461398i	−0.915614	−	0.402059i	$-0.868295\pi$
$599$	−34.7547	+	11.2925i	−1.42004	+	0.461398i	−0.504423	+	0.863457i	$0.668295\pi$
$600$	4.43420	+	12.5863i	0.181026	+	0.513835i
$601$	−9.00530	+	12.3947i	−0.367334	+	0.505592i	−0.952174	−	0.305557i	$-0.901157\pi$
$601$	−9.00530	+	12.3947i	−0.367334	+	0.505592i	0.584840	+	0.811149i	$0.301157\pi$
$602$	28.4357	+	12.3824i	1.15895	+	0.504669i
$603$	2.55236	+	5.00930i	0.103940	+	0.203994i
$604$	7.28185	−	13.1035i	0.296294	−	0.533175i
$605$	32.9379	+	0.364570i	1.33911	+	0.0148219i
$606$	−12.3662	−	3.20521i	−0.502342	−	0.130203i
$607$	6.06579	−	18.6686i	0.246203	−	0.757735i	−0.749233	−	0.662306i	$-0.769578\pi$
$607$	6.06579	−	18.6686i	0.246203	−	0.757735i	0.995436	−	0.0954285i	$-0.0304221\pi$
$608$	2.13798	+	14.5737i	0.0867066	+	0.591040i
$609$	−44.1437	−	32.0723i	−1.78879	−	1.29963i
$610$	−1.28110	−	21.1324i	−0.0518702	−	0.855625i
$611$	−3.99202	+	7.83478i	−0.161500	+	0.316961i
$612$	−10.2238	+	4.75406i	−0.413274	+	0.192172i
$613$	−4.07183	+	25.7085i	−0.164460	+	1.03836i	0.757997	+	0.652258i	$0.226178\pi$
$613$	−4.07183	+	25.7085i	−0.164460	+	1.03836i	−0.922457	+	0.386100i	$0.873822\pi$
$614$	−32.9654	+	7.28964i	−1.33037	+	0.294186i
$615$			18.8411i			0.759748i
$616$	20.5995	−	35.0976i	0.829977	−	1.41412i
$617$			23.6587i			0.952463i	0.879320	+	0.476232i	$0.157998\pi$
$617$			23.6587i			0.952463i	−0.879320	+	0.476232i	$0.842002\pi$
$618$	−1.89910	−	8.58814i	−0.0763929	−	0.345466i
$619$	−3.82297	+	24.1373i	−0.153658	+	0.970160i	0.783534	+	0.621348i	$0.213415\pi$
$619$	−3.82297	+	24.1373i	−0.153658	+	0.970160i	−0.937193	+	0.348812i	$0.886585\pi$
$620$	33.9749	+	12.4073i	1.36447	+	0.498289i
$621$	7.72115	−	15.1536i	0.309839	−	0.608094i
$622$	−9.32355	+	0.565218i	−0.373840	+	0.0226632i
$623$	−48.5461	−	35.2708i	−1.94496	−	1.41310i
$624$	4.56321	−	11.2247i	0.182674	−	0.449348i
$625$	8.99153	−	27.6731i	0.359661	−	1.10692i
$626$	−4.58496	+	17.6894i	−0.183252	+	0.707012i
$627$	10.2341	+	0.862452i	0.408710	+	0.0344430i
$628$	6.07291	+	21.2651i	0.242335	+	0.848569i
$629$	3.93922	+	7.73115i	0.157067	+	0.308261i
$630$	−11.6309	+	26.7099i	−0.463386	+	1.06415i
$631$	26.5648	−	36.5634i	1.05753	−	1.45556i	0.175435	−	0.984491i	$-0.443867\pi$
$631$	26.5648	−	36.5634i	1.05753	−	1.45556i	0.882094	−	0.471073i	$-0.156133\pi$
$632$	−16.6957	+	34.8584i	−0.664121	+	1.38659i
$633$	5.81883	−	1.89065i	0.231278	−	0.0751466i
$634$	−1.47580	+	15.2408i	−0.0586114	+	0.605289i
$635$	−1.54654	+	9.76446i	−0.0613725	+	0.387491i
$636$	2.13696	−	1.98845i	0.0847361	−	0.0788474i
$637$	−21.2896	−	21.2896i	−0.843524	−	0.843524i
$638$	−48.7997	−	8.91055i	−1.93200	−	0.352772i
$639$	14.3278			0.566798
$640$	32.6810	−	8.93082i	1.29183	−	0.353022i
$641$	−6.40403	+	4.65280i	−0.252944	+	0.183775i	−0.707031	−	0.707183i	$-0.749966\pi$
$641$	−6.40403	+	4.65280i	−0.252944	+	0.183775i	0.454087	+	0.890958i	$0.349966\pi$
$642$	3.03977	+	3.69158i	0.119970	+	0.145695i
$643$	−11.9576	+	23.4681i	−0.471562	+	0.925492i	0.525638	+	0.850708i	$0.323827\pi$
$643$	−11.9576	+	23.4681i	−0.471562	+	0.925492i	−0.997200	+	0.0747839i	$0.976173\pi$
$644$	−5.19155	+	26.5556i	−0.204576	+	1.04644i
$645$	17.7812	−	2.81627i	0.700135	−	0.110890i
$646$	12.0033	+	5.22686i	0.472263	+	0.205648i
$647$	−25.8491	−	8.39888i	−1.01623	−	0.330194i	−0.246899	−	0.969041i	$-0.579412\pi$
$647$	−25.8491	−	8.39888i	−1.01623	−	0.330194i	−0.769334	+	0.638847i	$0.779412\pi$
$648$	3.54086	+	3.37103i	0.139098	+	0.132427i
$649$	−13.5595	+	5.52881i	−0.532257	+	0.217025i
$650$	12.3174	−	7.24656i	0.483127	−	0.284233i
$651$	−14.1454	−	27.7619i	−0.554401	−	1.08807i
$652$	1.84965	+	1.44831i	0.0724380	+	0.0567204i
$653$	7.93884	+	50.1239i	0.310671	+	1.96150i	0.272208	+	0.962238i	$0.412246\pi$
$653$	7.93884	+	50.1239i	0.310671	+	1.96150i	0.0384627	+	0.999260i	$0.487754\pi$
$654$	30.2300	−	1.83262i	1.18209	−	0.0716610i
$655$	7.58272	+	23.3372i	0.296282	+	0.911861i
$656$	21.1077	+	1.52165i	0.824117	+	0.0594105i
$657$	10.7236	−	7.79117i	0.418369	−	0.303963i
$658$	17.8565	+	11.3894i	0.696120	+	0.444004i
$659$	−11.6417	−	11.6417i	−0.453495	−	0.453495i	0.443018	−	0.896513i	$-0.353908\pi$
$659$	−11.6417	−	11.6417i	−0.453495	−	0.453495i	−0.896513	+	0.443018i	$0.853908\pi$
$660$	−0.874382	−	23.6064i	−0.0340353	−	0.918878i
$661$	−23.9116	+	23.9116i	−0.930054	+	0.930054i	−0.997709	−	0.0676550i	$-0.978448\pi$
$661$	−23.9116	+	23.9116i	−0.930054	+	0.930054i	0.0676550	+	0.997709i	$0.478448\pi$
$662$	−0.585110	−	2.64600i	−0.0227410	−	0.102840i
$663$	−6.33021	−	8.71279i	−0.245845	−	0.338377i
$664$	24.2994	−	35.2339i	0.943001	−	1.36734i
$665$	32.1711	−	10.4530i	1.24754	−	0.405351i
$666$	−3.62873	+	4.09709i	−0.140610	+	0.158759i
$667$	32.5766	−	5.15963i	1.26137	−	0.199782i
$668$	1.55180	+	12.7518i	0.0600409	+	0.493382i
$669$	−1.61334	+	0.822038i	−0.0623753	+	0.0317818i
$670$	−14.5346	−	3.76724i	−0.561519	−	0.145541i
$671$	−3.95980	+	16.1007i	−0.152866	+	0.621560i
$672$	−25.8510	−	13.5457i	−0.997225	−	0.522537i
$673$	2.82234	−	8.68626i	0.108793	−	0.334831i	−0.881809	−	0.471607i	$-0.843674\pi$
$673$	2.82234	−	8.68626i	0.108793	−	0.334831i	0.990602	+	0.136776i	$0.0436742\pi$
$674$	13.4057	−	5.27230i	0.516367	−	0.203082i
$675$	3.38452	+	21.3690i	0.130270	+	0.822495i
$676$	12.7820	+	2.49884i	0.491614	+	0.0961093i
$677$	−8.85602	−	4.51237i	−0.340364	−	0.173424i	0.275450	−	0.961315i	$-0.411173\pi$
$677$	−8.85602	−	4.51237i	−0.340364	−	0.173424i	−0.615815	+	0.787891i	$0.711173\pi$
$678$	−1.43684	+	14.8384i	−0.0551814	+	0.569867i
$679$	−23.1110	−	31.8095i	−0.886918	−	1.22074i
$680$	8.59898	−	28.8585i	0.329756	−	1.10667i
$681$		−	10.3756i		−	0.397595i
$682$	−22.5187	−	17.1845i	−0.862287	−	0.658027i
$683$	−23.6803	+	23.6803i	−0.906103	+	0.906103i	−0.995955	−	0.0898521i	$-0.971361\pi$
$683$	−23.6803	+	23.6803i	−0.906103	+	0.906103i	0.0898521	+	0.995955i	$0.471361\pi$
$684$	−0.297076	+	8.25251i	−0.0113590	+	0.315542i
$685$	41.8686	+	6.63133i	1.59972	+	0.253370i
$686$	−22.8293	+	18.7984i	−0.871626	+	0.717726i
$687$	−3.83884	−	11.8147i	−0.146461	−	0.450760i
$688$	−1.71901	−	20.1477i	−0.0655366	−	0.768124i
$689$	−2.52899	−	1.83742i	−0.0963467	−	0.0700000i
$690$	5.74852	+	14.6165i	0.218843	+	0.556442i
$691$	11.7397	−	5.98166i	0.446598	−	0.227553i	−0.216203	−	0.976348i	$-0.569367\pi$
$691$	11.7397	−	5.98166i	0.446598	−	0.227553i	0.662801	+	0.748795i	$0.269367\pi$
$692$	−4.24359	−	14.8595i	−0.161317	−	0.564873i
$693$	14.9132	−	17.2667i	0.566505	−	0.655908i
$694$	20.8676	−	12.2768i	0.792123	−	0.466022i
$695$	−13.2584	−	4.30792i	−0.502921	−	0.163409i
$696$	−4.70039	+	35.2630i	−0.178168	+	1.33664i
$697$	11.0559	−	15.2172i	0.418774	−	0.576393i
$698$	28.1685	−	31.8042i	1.06619	−	1.20381i
$699$	4.96319	+	2.52887i	0.187725	+	0.0956508i
$700$	−14.5136	−	31.2122i	−0.548563	−	1.17971i
$701$	−39.6799	−	6.28468i	−1.49869	−	0.237369i	−0.647434	−	0.762121i	$-0.724158\pi$
$701$	−39.6799	−	6.28468i	−1.49869	−	0.237369i	−0.851255	+	0.524752i	$0.824158\pi$
$702$	10.5641	−	16.5626i	0.398715	−	0.625115i
$703$	6.35491			0.239680
$704$	−26.5168	−	0.926937i	−0.999390	−	0.0349353i
$705$	12.2939			0.463016
$706$	17.8224	−	27.9423i	0.670753	−	1.05162i
$707$	32.5462	+	5.15481i	1.22403	+	0.193867i
$708$	4.42782	+	9.52224i	0.166408	+	0.357868i
$709$	17.7458	+	9.04196i	0.666459	+	0.339578i	0.754275	−	0.656559i	$-0.227989\pi$
$709$	17.7458	+	9.04196i	0.666459	+	0.339578i	−0.0878158	+	0.996137i	$0.527989\pi$
$710$	−25.3707	+	28.6453i	−0.952144	+	1.07504i
$711$	−12.7364	+	17.5302i	−0.477653	+	0.657434i
$712$	−5.16915	+	38.7798i	−0.193722	+	1.45333i
$713$	17.9122	+	5.82002i	0.670817	+	0.217962i
$714$	−22.3578	+	13.1535i	−0.836718	+	0.492258i
$715$	−24.6311	+	5.76943i	−0.921151	+	0.215764i
$716$	−2.50599	−	8.77507i	−0.0936534	−	0.327940i
$717$	−9.71784	+	4.95149i	−0.362919	+	0.184917i
$718$	−6.70995	−	17.0611i	−0.250413	−	0.636715i
$719$	5.64405	+	4.10065i	0.210488	+	0.152928i	0.688034	−	0.725678i	$-0.258474\pi$
$719$	5.64405	+	4.10065i	0.210488	+	0.152928i	−0.477547	+	0.878606i	$0.658474\pi$
$720$	18.9249	−	1.61468i	0.705290	−	0.0601755i
$721$	7.01090	+	21.5773i	0.261100	+	0.803582i
$722$	−13.3408	+	10.9852i	−0.496493	+	0.408829i
$723$	8.35993	+	1.32408i	0.310909	+	0.0492432i
$724$	−1.21484	+	33.7472i	−0.0451492	+	1.25421i
$725$	−29.6688	+	29.6688i	−1.10187	+	1.10187i
$726$	−4.83967	+	17.8561i	−0.179617	+	0.662701i
$727$			14.8174i			0.549548i	0.961509	+	0.274774i	$0.0886030\pi$
$727$			14.8174i			0.549548i	−0.961509	+	0.274774i	$0.911397\pi$
$728$	−8.92515	+	29.9531i	−0.330788	+	1.11014i
$729$	13.0474	+	17.9582i	0.483238	+	0.665119i
$730$	−3.41195	+	35.2357i	−0.126282	+	1.30413i
$731$	−16.0137	−	8.15940i	−0.592289	−	0.301786i
$732$	11.6697	+	2.28139i	0.431323	+	0.0843224i
$733$	−0.864699	−	5.45949i	−0.0319384	−	0.201651i	0.966559	−	0.256443i	$-0.0825505\pi$
$733$	−0.864699	−	5.45949i	−0.0319384	−	0.201651i	−0.998498	+	0.0547918i	$0.982551\pi$
$734$	18.4050	−	7.23850i	0.679342	−	0.267178i
$735$	−13.0080	+	40.0344i	−0.479805	+	1.47669i
$736$	16.8391	−	5.25959i	0.620699	−	0.193871i
$737$	9.99210	+	6.19949i	0.368064	+	0.228361i
$738$	11.4848	+	2.97675i	0.422760	+	0.109576i
$739$	45.4115	−	23.1383i	1.67049	−	0.851157i	0.677160	−	0.735835i	$-0.263210\pi$
$739$	45.4115	−	23.1383i	1.67049	−	0.851157i	0.993328	−	0.115321i	$-0.0367897\pi$
$740$	−1.76572	−	14.5097i	−0.0649092	−	0.533388i
$741$	−7.79051	+	1.23390i	−0.286192	+	0.0453283i
$742$	−4.99216	+	5.63649i	−0.183268	+	0.206922i
$743$	−25.6600	+	8.33744i	−0.941374	+	0.305871i	−0.739206	−	0.673480i	$-0.764799\pi$
$743$	−25.6600	+	8.33744i	−0.941374	+	0.305871i	−0.202169	+	0.979351i	$0.564799\pi$
$744$	−11.5331	+	16.7229i	−0.422825	+	0.613091i
$745$	−21.8714	−	30.1034i	−0.801307	−	1.10290i
$746$	0.339601	+	1.53575i	0.0124337	+	0.0562278i
$747$	16.9672	−	16.9672i	0.620796	−	0.620796i
$748$	−13.1460	+	19.5790i	−0.480665	+	0.715879i
$749$	−8.72217	−	8.72217i	−0.318701	−	0.318701i
$750$	4.38527	+	2.79704i	0.160127	+	0.102134i
$751$	11.7760	−	8.55574i	0.429711	−	0.312203i	−0.351822	−	0.936067i	$-0.614438\pi$
$751$	11.7760	−	8.55574i	0.429711	−	0.312203i	0.781533	+	0.623863i	$0.214438\pi$
$752$	0.992884	−	13.7729i	0.0362068	−	0.502244i
$753$	4.81571	+	14.8212i	0.175494	+	0.540116i
$754$	38.0279	−	2.30535i	1.38489	−	0.0839558i
$755$	3.51124	+	22.1691i	0.127787	+	0.806815i
$756$	−37.2551	−	29.1715i	−1.35495	−	1.06096i
$757$	−11.0496	−	21.6860i	−0.401604	−	0.788191i	0.598311	−	0.801264i	$-0.295839\pi$
$757$	−11.0496	−	21.6860i	−0.401604	−	0.788191i	−0.999915	+	0.0130726i	$0.995839\pi$
$758$	−16.9622	+	9.97922i	−0.616096	+	0.362462i
$759$	−0.897219	−	12.2678i	−0.0325670	−	0.445294i
$760$	−15.9731	−	15.2069i	−0.579404	−	0.551614i
$761$	−35.0181	−	11.3781i	−1.26941	−	0.412455i	−0.404569	−	0.914508i	$-0.632578\pi$
$761$	−35.0181	−	11.3781i	−1.26941	−	0.412455i	−0.864837	+	0.502053i	$0.832578\pi$
$762$	−5.09075	−	2.21678i	−0.184418	−	0.0803054i
$763$	−77.1578	+	12.2206i	−2.79330	+	0.442415i
$764$	1.42810	−	7.30495i	0.0516668	−	0.264284i
$765$	7.66420	−	15.0418i	0.277100	−	0.543839i
$766$	−29.3224	−	35.6099i	−1.05946	−	1.28664i
$767$	9.09826	−	6.61027i	0.328519	−	0.238683i
$768$	0.250185	+	19.0263i	0.00902778	+	0.686552i
$769$	32.8231			1.18363			0.591816	−	0.806073i	$-0.298411\pi$
$769$	32.8231			1.18363			0.591816	+	0.806073i	$0.298411\pi$
$770$	8.11370	+	60.3904i	0.292398	+	2.17632i
$771$	23.0294	+	23.0294i	0.829383	+	0.829383i
$772$	22.3208	−	20.7697i	0.803345	−	0.747516i
$773$	3.90899	−	24.6804i	0.140597	−	0.887692i	−0.812045	−	0.583595i	$-0.801645\pi$
$773$	3.90899	−	24.6804i	0.140597	−	0.887692i	0.952641	−	0.304097i	$-0.0983546\pi$
$774$	1.09262	−	11.2836i	0.0392733	−	0.405581i
$775$	−22.7866	+	7.40380i	−0.818517	+	0.265952i
$776$	−11.0735	+	23.1199i	−0.397514	+	0.829955i
$777$	−7.40107	+	10.1867i	−0.265512	+	0.365446i
$778$	−13.5520	+	31.1217i	−0.485864	+	1.11577i
$779$	−6.25418	−	12.2745i	−0.224079	−	0.439781i
$780$	4.98187	+	17.4447i	0.178380	+	0.624620i
$781$	25.6380	−	15.5165i	0.917401	−	0.555224i
$782$	3.93411	−	15.1784i	0.140684	−	0.542778i
$783$	−17.8232	+	54.8543i	−0.636950	+	1.96033i
$784$	43.7998	+	17.8060i	1.56428	+	0.635930i
$785$	−26.7885	−	19.4630i	−0.956123	−	0.694664i
$786$	−13.7564	+	0.833946i	−0.490673	+	0.0297459i
$787$	2.83966	−	5.57314i	0.101223	−	0.198661i	−0.834841	−	0.550491i	$-0.814441\pi$
$787$	2.83966	−	5.57314i	0.101223	−	0.198661i	0.936064	+	0.351830i	$0.114441\pi$
$788$	24.6829	+	9.01395i	0.879294	+	0.321109i
$789$	5.77668	−	36.4725i	0.205655	−	1.29846i
$790$	−12.4950	−	56.5051i	−0.444551	−	2.01036i
$791$		−	38.4539i		−	1.36726i
$792$	−14.5276	−	3.19664i	−0.516215	−	0.113588i
$793$		−	12.7338i		−	0.452190i
$794$	29.0182	−	6.41680i	1.02982	−	0.227724i
$795$	−0.683701	+	4.31672i	−0.0242484	+	0.153098i
$796$	−29.2389	+	13.5961i	−1.03635	+	0.481899i
$797$	−3.43993	+	6.75125i	−0.121849	+	0.239141i	−0.943871	−	0.330313i	$-0.892846\pi$
$797$	−3.43993	+	6.75125i	−0.121849	+	0.239141i	0.822023	+	0.569455i	$0.192846\pi$
$798$	1.14962	+	18.9636i	0.0406961	+	0.671303i
$799$	−9.92929	−	7.21405i	−0.351273	−	0.255215i
$800$	−13.3976	+	18.0043i	−0.473675	+	0.636546i
$801$	−6.77776	+	20.8598i	−0.239481	+	0.737045i
$802$	48.6315	+	12.6049i	1.71724	+	0.445094i
$803$	10.7512	−	25.5548i	0.379403	−	0.901811i
$804$	4.09630	−	7.37120i	0.144465	−	0.259962i
$805$	−18.3928	−	36.0978i	−0.648260	−	1.27228i
$806$	19.9458	+	8.68545i	0.702561	+	0.305932i
$807$	4.69677	−	6.46455i	0.165334	−	0.227563i
$808$	−7.13877	−	20.2632i	−0.251141	−	0.712855i
$809$	13.4698	−	4.37659i	0.473572	−	0.153873i	−0.0625003	−	0.998045i	$-0.519907\pi$
$809$	13.4698	−	4.37659i	0.473572	−	0.153873i	0.536072	+	0.844172i	$0.319907\pi$
$810$	−7.28594	−	0.705513i	−0.256002	−	0.0247892i
$811$	3.19249	−	20.1566i	0.112103	−	0.707793i	−0.866058	−	0.499944i	$-0.833354\pi$
$811$	3.19249	−	20.1566i	0.112103	−	0.707793i	0.978161	−	0.207849i	$-0.0666462\pi$
$812$	3.30119	−	91.7040i	0.115849	−	3.21818i
$813$	−13.4900	−	13.4900i	−0.473115	−	0.473115i
$814$	−2.05622	+	11.2611i	−0.0720704	+	0.394702i
$815$	−3.51741			−0.123209
$816$	14.4779	+	8.74166i	0.506828	+	0.306019i
$817$	−10.6492	+	7.73708i	−0.372567	+	0.270686i
$818$	24.0905	−	19.8369i	0.842304	−	0.693581i
$819$	−7.95490	+	15.6124i	−0.277967	+	0.545541i
$820$	−26.2878	+	17.6902i	−0.918011	+	0.617770i
$821$	−6.76081	+	1.07081i	−0.235954	+	0.0373714i	−0.273291	−	0.961931i	$-0.588112\pi$
$821$	−6.76081	+	1.07081i	−0.235954	+	0.0373714i	0.0373375	+	0.999303i	$0.488112\pi$
$822$	−9.50523	+	21.8284i	−0.331533	+	0.761353i
$823$	25.2706	+	8.21090i	0.880877	+	0.286214i	0.714321	−	0.699818i	$-0.246736\pi$
$823$	25.2706	+	8.21090i	0.880877	+	0.286214i	0.166555	+	0.986032i	$0.446736\pi$
$824$	10.1994	−	10.7132i	0.355312	−	0.373213i
$825$	10.0965	+	11.9548i	0.351515	+	0.416214i
$826$	−13.7355	−	23.3469i	−0.477918	−	0.812343i
$827$	17.1849	+	33.7273i	0.597578	+	1.17281i	0.969624	+	0.244598i	$0.0786561\pi$
$827$	17.1849	+	33.7273i	0.597578	+	1.17281i	−0.372047	+	0.928214i	$0.621344\pi$
$828$	9.81783	−	1.19476i	0.341193	−	0.0415206i
$829$	−3.10839	−	19.6256i	−0.107959	−	0.681626i	−0.981004	−	0.193987i	$-0.937858\pi$
$829$	−3.10839	−	19.6256i	−0.107959	−	0.681626i	0.873045	−	0.487639i	$-0.162142\pi$
$830$	3.87781	+	63.9665i	0.134601	+	2.22031i
$831$	−0.0122057	−	0.0375652i	−0.000423411	−	0.00130312i
$832$	19.9456	−	4.17231i	0.691488	−	0.144649i
$833$	33.9981	−	24.7010i	1.17796	−	0.855840i
$834$	4.21043	−	6.60120i	0.145795	−	0.228581i
$835$	−13.6003	−	13.6003i	−0.470658	−	0.470658i
$836$	8.40561	+	15.0887i	0.290714	+	0.521854i
$837$	−23.2887	+	23.2887i	−0.804976	+	0.804976i
$838$	−45.6779	+	10.1008i	−1.57792	+	0.348925i
$839$	2.02778	+	2.79100i	0.0700068	+	0.0963561i	0.842585	−	0.538564i	$-0.181033\pi$
$839$	2.02778	+	2.79100i	0.0700068	+	0.0963561i	−0.772578	+	0.634920i	$0.781033\pi$
$840$	42.9788	−	7.89390i	1.48291	−	0.272366i
$841$	−78.7996	+	25.6035i	−2.71723	+	0.882880i
$842$	39.6376	+	35.1064i	1.36600	+	1.20985i
$843$	0.457993	−	0.0725390i	0.0157741	−	0.00249838i
$844$	8.10128	+	6.34347i	0.278858	+	0.218351i
$845$	−17.3749	+	8.85296i	−0.597715	+	0.304551i
$846$	1.94234	−	7.49385i	0.0667791	−	0.257644i
$847$	7.98633	−	47.0475i	0.274414	−	1.61657i
$848$	4.78079	+	1.11458i	0.164173	+	0.0382747i
$849$	−5.03366	+	15.4920i	−0.172755	+	0.531684i
$850$	7.30056	+	18.5628i	0.250407	+	0.636700i
$851$	−1.19065	−	7.51745i	−0.0408148	−	0.257695i
$852$	−11.9985	−	17.8299i	−0.411064	−	0.610844i
$853$	−3.99847	−	2.03732i	−0.136905	−	0.0697566i	0.384196	−	0.923251i	$-0.374479\pi$
$853$	−3.99847	−	2.03732i	−0.136905	−	0.0697566i	−0.521101	+	0.853495i	$0.674479\pi$
$854$	−30.5282	−	2.95611i	−1.04465	−	0.101156i
$855$	−7.26750	−	10.0029i	−0.248543	−	0.342091i
$856$	−2.29654	+	7.70727i	−0.0784941	+	0.263429i
$857$		−	31.2866i		−	1.06873i	−0.845254	−	0.534364i	$-0.820551\pi$
$857$		−	31.2866i		−	1.06873i	0.845254	−	0.534364i	$-0.179449\pi$
$858$	0.334222	−	14.2043i	0.0114102	−	0.484926i
$859$	30.3991	−	30.3991i	1.03721	−	1.03721i	0.0379249	−	0.999281i	$-0.487925\pi$
$859$	30.3991	−	30.3991i	1.03721	−	1.03721i	0.999281	−	0.0379249i	$-0.0120748\pi$
$860$	20.6244	+	22.1647i	0.703286	+	0.755811i
$861$	26.9594	+	4.26995i	0.918774	+	0.145519i
$862$	4.06037	+	4.93102i	0.138297	+	0.167951i
$863$	8.67181	+	26.6891i	0.295192	+	0.908507i	0.983157	+	0.182763i	$0.0585041\pi$
$863$	8.67181	+	26.6891i	0.295192	+	0.908507i	−0.687965	+	0.725744i	$0.741496\pi$
$864$	−5.17352	+	30.4129i	−0.176007	+	1.03467i
$865$	18.7191	+	13.6002i	0.636469	+	0.462422i
$866$	6.51981	−	2.56417i	0.221552	−	0.0871340i
$867$	−4.62012	+	2.35407i	−0.156907	+	0.0799483i
$868$	25.4530	−	45.8022i	0.863932	−	1.55463i
$869$	−3.80588	+	45.1616i	−0.129106	+	1.53200i
$870$	−27.0094	−	45.9094i	−0.915705	−	1.55647i
$871$	−8.58894	−	2.79071i	−0.291025	−	0.0945597i
$872$	30.9403	+	40.4572i	1.04777	+	1.37006i
$873$	−8.44744	+	11.6269i	−0.285903	+	0.393511i
$874$	−8.59687	−	7.61412i	−0.290794	−	0.257552i
$875$	−11.9542	−	6.09099i	−0.404127	−	0.205913i
$876$	−18.6759	−	6.82025i	−0.631001	−	0.230435i
$877$	−39.0046	−	6.17773i	−1.31709	−	0.208607i	−0.541960	−	0.840405i	$-0.682317\pi$
$877$	−39.0046	−	6.17773i	−1.31709	−	0.208607i	−0.775133	+	0.631797i	$0.782317\pi$
$878$	30.0306	+	19.1543i	1.01348	+	0.646427i
$879$	−7.75231			−0.261479
$880$	32.1155	−	23.3844i	1.08261	−	0.788287i
$881$	−54.9131			−1.85007			−0.925035	−	0.379881i	$-0.875965\pi$
$881$	−54.9131			−1.85007			−0.925035	+	0.379881i	$0.875965\pi$
$882$	22.3481	+	14.2542i	0.752499	+	0.479964i
$883$	20.8818	+	3.30735i	0.702727	+	0.111301i	0.497565	−	0.867427i	$-0.334228\pi$
$883$	20.8818	+	3.30735i	0.702727	+	0.111301i	0.205163	+	0.978728i	$0.434228\pi$
$884$	6.21286	−	17.0127i	0.208961	−	0.572199i
$885$	−14.0096	−	7.13825i	−0.470928	−	0.239950i
$886$	8.12681	+	7.19779i	0.273025	+	0.241815i
$887$	9.98252	−	13.7398i	0.335180	−	0.461336i	−0.607846	−	0.794055i	$-0.707966\pi$
$887$	9.98252	−	13.7398i	0.335180	−	0.461336i	0.943026	+	0.332719i	$0.107966\pi$
$888$	8.13737	+	1.08467i	0.273072	+	0.0363992i
$889$	13.6213	+	4.42582i	0.456843	+	0.148437i
$890$	−29.7030	−	50.4879i	−0.995648	−	1.69236i
$891$	5.28416	+	2.22311i	0.177026	+	0.0744770i
$892$	−2.66172	−	1.47916i	−0.0891211	−	0.0495261i
$893$	−8.00918	+	4.08088i	−0.268017	+	0.136561i
$894$	19.4485	−	7.64887i	0.650454	−	0.255816i
$895$	11.0543	+	8.03143i	0.369505	+	0.268461i
$896$	−5.37246	−	48.7865i	−0.179481	−	1.62984i
$897$	2.91924	+	8.98448i	0.0974704	+	0.299983i
$898$	−29.2439	−	35.5146i	−0.975883	−	1.18514i
$899$	−63.0857	−	9.99180i	−2.10403	−	0.333245i
$900$	−9.21087	+	8.57076i	−0.307029	+	0.285692i
$901$	3.08524	−	3.08524i	0.102784	−	0.102784i
$902$	23.7745	−	7.11103i	0.791604	−	0.236771i
$903$		−	26.0810i		−	0.867922i
$904$	−22.0522	+	11.9273i	−0.733445	+	0.396696i
$905$	−29.7192	−	40.9050i	−0.987900	−	1.35973i
$906$	−12.5475	−	1.21500i	−0.416864	−	0.0403658i
$907$	26.2751	+	13.3879i	0.872452	+	0.444537i	0.832085	−	0.554648i	$-0.187147\pi$
$907$	26.2751	+	13.3879i	0.872452	+	0.444537i	0.0403672	+	0.999185i	$0.487147\pi$
$908$	14.4764	−	9.74182i	0.480417	−	0.323294i
$909$	−1.88417	−	11.8962i	−0.0624939	−	0.394571i
$910$	−17.1275	−	43.5495i	−0.567772	−	1.44365i
$911$	−4.78355	+	14.7222i	−0.158486	+	0.487770i	−0.998497	−	0.0547990i	$-0.982548\pi$
$911$	−4.78355	+	14.7222i	−0.158486	+	0.487770i	0.840011	+	0.542569i	$0.182548\pi$
$912$	10.5185	−	6.54123i	0.348301	−	0.216602i
$913$	11.9861	−	48.7358i	0.396681	−	1.61292i
$914$	11.0687	−	42.7046i	0.366119	−	1.41254i
$915$	−15.8629	+	8.08255i	−0.524411	+	0.267201i
$916$	12.8800	−	16.4491i	0.425566	−	0.543493i
$917$	35.1112	−	5.56107i	1.15947	−	0.183643i
$918$	20.5264	+	18.1799i	0.677471	+	0.600026i
$919$	16.0623	−	5.21897i	0.529847	−	0.172158i	−0.0318622	−	0.999492i	$-0.510144\pi$
$919$	16.0623	−	5.21897i	0.529847	−	0.172158i	0.561710	+	0.827334i	$0.310144\pi$
$920$	−14.9961	+	21.7442i	−0.494408	+	0.716886i
$921$	16.6878	+	22.9688i	0.549883	+	0.756849i
$922$	1.89959	−	0.420057i	0.0625598	−	0.0138339i
$923$	−16.2742	+	16.2742i	−0.535673	+	0.535673i
$924$	−33.9761	−	4.09876i	−1.11773	−	0.134839i
$925$	6.84645	+	6.84645i	0.225110	+	0.225110i
$926$	3.05771	−	4.79395i	0.100483	−	0.157539i
$927$	6.70898	−	4.87436i	0.220352	−	0.160095i
$928$	−53.6135	+	26.5508i	−1.75995	+	0.871574i
$929$	8.22612	+	25.3174i	0.269890	+	0.830637i	0.990526	+	0.137323i	$0.0438499\pi$
$929$	8.22612	+	25.3174i	0.269890	+	0.830637i	−0.720636	+	0.693314i	$0.756150\pi$
$930$	−1.84051	−	30.3601i	−0.0603526	−	0.995547i
$931$	−4.81477	−	30.3993i	−0.157798	−	0.996296i
$932$	1.13164	+	9.29922i	0.0370682	+	0.304606i
$933$	3.56600	+	6.99867i	0.116746	+	0.229126i
$934$	−5.88615	−	10.0050i	−0.192601	−	0.327374i
$935$	−2.57554	−	35.2159i	−0.0842292	−	1.15168i
$936$	11.4206	−	0.280612i	0.373295	−	0.00917210i
$937$	45.4805	+	14.7775i	1.48578	+	0.482761i	0.935835	−	0.352438i	$-0.114647\pi$
$937$	45.4805	+	14.7775i	1.48578	+	0.482761i	0.549949	+	0.835198i	$0.314647\pi$
$938$	−8.68441	+	19.9434i	−0.283556	+	0.651176i
$939$	15.1778	−	2.40393i	0.495310	−	0.0784493i
$940$	11.5429	+	17.1529i	0.376489	+	0.559466i
$941$	9.78587	−	19.2058i	0.319010	−	0.626093i	−0.674698	−	0.738094i	$-0.735726\pi$
$941$	9.78587	−	19.2058i	0.319010	−	0.626093i	0.993708	+	0.112001i	$0.0357261\pi$
$942$	14.3565	−	11.8216i	0.467758	−	0.385168i
$943$	−13.3482	+	9.69803i	−0.434677	+	0.315811i
$944$	−9.12841	+	15.1184i	−0.297105	+	0.492063i
$945$	70.8465			2.30464
$946$	−10.2647	−	21.3741i	−0.333733	−	0.694933i
$947$	20.8922	+	20.8922i	0.678907	+	0.678907i	0.959753	−	0.280846i	$-0.0906151\pi$
$947$	20.8922	+	20.8922i	0.678907	+	0.678907i	−0.280846	+	0.959753i	$0.590615\pi$
$948$	32.4811	+	1.16926i	1.05494	+	0.0379759i
$949$	−3.33084	+	21.0301i	−0.108124	+	0.682666i
$950$	14.5410	+	1.40804i	0.471773	+	0.0456828i
$951$	12.2461	−	3.97899i	0.397106	−	0.129028i
$952$	−39.3443	−	18.8443i	−1.27516	−	0.610747i
$953$	28.8388	−	39.6932i	0.934180	−	1.28579i	−0.0240266	−	0.999711i	$-0.507649\pi$
$953$	28.8388	−	39.6932i	0.934180	−	1.28579i	0.958207	−	0.286077i	$-0.0923514\pi$
$954$	2.52326	+	1.09876i	0.0816937	+	0.0355737i
$955$	5.05950	+	9.92984i	0.163722	+	0.321322i
$956$	−16.0327	−	8.90964i	−0.518535	−	0.288159i
$957$	9.51362	+	40.6160i	0.307532	+	1.31293i
$958$	−23.6492	−	6.12969i	−0.764072	−	0.198041i
$959$	18.9773	−	58.4060i	0.612808	−	1.88603i
$960$	−17.8577	−	22.1986i	−0.576355	−	0.716456i
$961$	−4.42750	−	3.21677i	−0.142823	−	0.103767i
$962$	−0.531987	−	8.77540i	−0.0171520	−	0.282930i
$963$	−2.04688	+	4.01724i	−0.0659599	+	0.129454i
$964$	6.00186	+	12.9073i	0.193307	+	0.415715i
$965$	−7.14134	+	45.0886i	−0.229888	+	1.45145i
$966$	22.2173	−	4.91291i	0.714829	−	0.158070i
$967$			49.8639i			1.60351i	0.597650	+	0.801757i	$0.296101\pi$
$967$			49.8639i			1.60351i	−0.597650	+	0.801757i	$0.703899\pi$
$968$	−29.4575	+	10.0129i	−0.946799	+	0.321826i
$969$		−	11.0093i		−	0.353670i
$970$	−8.28730	−	37.4770i	−0.266089	−	1.20331i
$971$	8.16638	−	51.5605i	0.262072	−	1.65465i	−0.408462	−	0.912775i	$-0.633935\pi$
$971$	8.16638	−	51.5605i	0.262072	−	1.65465i	0.670533	−	0.741879i	$-0.266065\pi$
$972$	−9.81409	+	26.8740i	−0.314787	+	0.861983i
$973$	−9.16886	+	17.9949i	−0.293940	+	0.576890i
$974$	−56.5827	+	3.43019i	−1.81303	+	0.109910i
$975$	−9.72242	−	7.06375i	−0.311367	−	0.226221i
$976$	7.77374	+	18.4239i	0.248831	+	0.589736i
$977$	12.7982	−	39.3887i	0.409450	−	1.26016i	−0.507673	−	0.861550i	$-0.669494\pi$
$977$	12.7982	−	39.3887i	0.409450	−	1.26016i	0.917122	−	0.398606i	$-0.130506\pi$
$978$	0.495658	−	1.91232i	0.0158494	−	0.0611493i
$979$	10.4624	+	44.6666i	0.334380	+	1.42755i
$980$	−68.0707	+	19.4397i	−2.17444	+	0.620979i
$981$	12.9632	+	25.4418i	0.413885	+	0.812294i
$982$	3.26780	−	7.50439i	0.104280	−	0.239475i
$983$	23.2694	−	32.0276i	0.742179	−	1.02152i	−0.256312	−	0.966594i	$-0.582507\pi$
$983$	23.2694	−	32.0276i	0.742179	−	1.02152i	0.998490	−	0.0549270i	$-0.0174926\pi$
$984$	−5.91335	−	16.7848i	−0.188511	−	0.535081i
$985$	−37.4186	+	12.1580i	−1.19226	+	0.387387i
$986$	−5.12515	+	52.9282i	−0.163218	+	1.68558i
$987$	2.78616	−	17.5911i	0.0886844	−	0.559931i
$988$	−9.03620	−	9.71107i	−0.287480	−	0.308950i
$989$	11.1477	+	11.1477i	0.354475	+	0.354475i
$990$	20.0769	−	9.64169i	0.638086	−	0.306433i
$991$	−50.6888			−1.61018			−0.805091	−	0.593152i	$-0.797883\pi$
$991$	−50.6888			−1.61018			−0.805091	+	0.593152i	$0.797883\pi$
$992$	−34.1610	−	0.390034i	−1.08461	−	0.0123836i
$993$	−1.84362	+	1.33947i	−0.0585054	+	0.0425067i
$994$	35.2382	+	42.7942i	1.11769	+	1.35735i
$995$	21.9187	−	43.0178i	0.694869	−	1.36376i
$996$	−35.3233	−	6.90562i	−1.11926	−	0.218813i
$997$	37.1631	−	5.88605i	1.17697	−	0.186413i	0.462848	−	0.886438i	$-0.346828\pi$
$997$	37.1631	−	5.88605i	1.17697	−	0.186413i	0.714119	+	0.700025i	$0.246828\pi$
$998$	23.5265	+	10.2447i	0.744719	+	0.324290i
$999$	12.6583	+	4.11293i	0.400491	+	0.130127i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	176.2.w.a.141.16	yes	176
4.3	odd	2		704.2.be.a.273.15		176
11.5	even	5	inner	176.2.w.a.93.11	yes	176
16.5	even	4	inner	176.2.w.a.53.11	yes	176
16.11	odd	4		704.2.be.a.625.15		176
44.27	odd	10		704.2.be.a.401.15		176
176.5	even	20	inner	176.2.w.a.5.16	✓	176
176.27	odd	20		704.2.be.a.49.15		176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
176.2.w.a.5.16	✓	176	176.5	even	20	inner
176.2.w.a.53.11	yes	176	16.5	even	4	inner
176.2.w.a.93.11	yes	176	11.5	even	5	inner
176.2.w.a.141.16	yes	176	1.1	even	1	trivial
704.2.be.a.49.15		176	176.27	odd	20
704.2.be.a.273.15		176	4.3	odd	2
704.2.be.a.401.15		176	44.27	odd	10
704.2.be.a.625.15		176	16.11	odd	4

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:	\( N \)	\(=\)	\( 176 = 2^{4} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	176.w (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.760498 - 1.19233i) q^{2} +(-1.17460 - 0.186039i) q^{3} +(-0.843285 - 1.81352i) q^{4} +(2.66815 + 1.35949i) q^{5} +(-1.11510 + 1.25903i) q^{6} +(2.54995 - 3.50970i) q^{7} +(-2.80363 - 0.373710i) q^{8} +(-1.50808 - 0.490006i) q^{9} +(3.65008 - 2.14742i) q^{10} +(-3.22922 + 0.756392i) q^{11} +(0.653140 + 2.28706i) q^{12} +(2.26954 - 1.15639i) q^{13} +(-2.24548 - 5.70949i) q^{14} +(-2.88110 - 2.09324i) q^{15} +(-2.57774 + 3.05864i) q^{16} +(1.09864 + 3.38125i) q^{17} +(-1.73114 + 1.42548i) q^{18} +(2.57180 + 0.407334i) q^{19} +(0.215457 - 5.98519i) q^{20} +(-3.64812 + 3.64812i) q^{21} +(-1.55395 + 4.42552i) q^{22} -3.11859i q^{23} +(3.22363 + 0.960546i) q^{24} +(2.33188 + 3.20956i) q^{25} +(0.347188 - 3.58546i) q^{26} +(4.85912 + 2.47585i) q^{27} +(-8.51526 - 1.66471i) q^{28} +(1.65447 + 10.4459i) q^{29} +(-4.68690 + 1.84331i) q^{30} +(-1.86623 + 5.74368i) q^{31} +(1.68653 + 5.39959i) q^{32} +(3.93378 - 0.287700i) q^{33} +(4.86707 + 1.26150i) q^{34} +(11.5750 - 5.89778i) q^{35} +(0.383107 + 3.14816i) q^{36} +(2.41053 - 0.381790i) q^{37} +(2.44153 - 2.75665i) q^{38} +(-2.88094 + 0.936075i) q^{39} +(-6.97245 - 4.80862i) q^{40} +(-3.10975 - 4.28020i) q^{41} +(1.57536 + 7.12414i) q^{42} +(-3.57458 + 3.57458i) q^{43} +(4.09489 + 5.21842i) q^{44} +(-3.35764 - 3.35764i) q^{45} +(-3.71838 - 2.37168i) q^{46} +(-2.79285 + 2.02912i) q^{47} +(3.59685 - 3.11313i) q^{48} +(-3.65265 - 11.2417i) q^{49} +(5.60024 - 0.339501i) q^{50} +(-0.661417 - 4.17602i) q^{51} +(-4.01100 - 3.14070i) q^{52} +(-0.557159 - 1.09349i) q^{53} +(6.64737 - 3.91078i) q^{54} +(-9.64436 - 2.37193i) q^{55} +(-8.46071 + 8.88696i) q^{56} +(-2.94507 - 0.956912i) q^{57} +(13.7132 + 5.97144i) q^{58} +(4.36078 - 0.690679i) q^{59} +(-1.36656 + 6.99015i) q^{60} +(2.26959 - 4.45432i) q^{61} +(5.42907 + 6.59322i) q^{62} +(-5.56531 + 4.04343i) q^{63} +(7.72068 + 2.09549i) q^{64} +7.62756 q^{65} +(2.64860 - 4.90914i) q^{66} +(-2.50704 - 2.50704i) q^{67} +(5.20552 - 4.84376i) q^{68} +(-0.580180 + 3.66311i) q^{69} +(1.77072 - 18.2865i) q^{70} +(-8.59341 + 2.79217i) q^{71} +(4.04499 + 1.93738i) q^{72} +(-4.91342 + 6.76274i) q^{73} +(1.37798 - 3.16448i) q^{74} +(-2.14194 - 4.20379i) q^{75} +(-1.43005 - 5.00752i) q^{76} +(-5.57963 + 13.2624i) q^{77} +(-1.07484 + 4.14691i) q^{78} +(4.22272 - 12.9962i) q^{79} +(-11.0360 + 4.65649i) q^{80} +(-1.39838 - 1.01598i) q^{81} +(-7.46835 + 0.452750i) q^{82} +(-6.86992 + 13.4830i) q^{83} +(9.69236 + 3.53955i) q^{84} +(-1.66546 + 10.5153i) q^{85} +(1.54361 + 6.98054i) q^{86} -12.5776i q^{87} +(9.33621 - 0.913851i) q^{88} -13.8320i q^{89} +(-6.55688 + 1.44992i) q^{90} +(1.72863 - 10.9141i) q^{91} +(-5.65564 + 2.62986i) q^{92} +(3.26064 - 6.39936i) q^{93} +(0.295421 + 4.87313i) q^{94} +(6.30819 + 4.58317i) q^{95} +(-0.976468 - 6.65615i) q^{96} +(2.80072 - 8.61973i) q^{97} +(-16.1816 - 4.19414i) q^{98} +(5.24058 + 0.441636i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8} - 16 q^{10} - 12 q^{11} - 6 q^{13} - 12 q^{15} + 14 q^{16} - 12 q^{17} - 44 q^{18} - 6 q^{19} + 2 q^{20} - 28 q^{21} + 50 q^{22} - 38 q^{24}+ \cdots + 92 q^{99}+O(q^{100}) \) 176 * q - 6 * q^2 - 6 * q^3 - 10 * q^4 - 6 * q^5 - 6 * q^6 - 6 * q^8 - 16 * q^10 - 12 * q^11 - 6 * q^13 - 12 * q^15 + 14 * q^16 - 12 * q^17 - 44 * q^18 - 6 * q^19 + 2 * q^20 - 28 * q^21 + 50 * q^22 - 38 * q^24 - 68 * q^26 - 18 * q^27 - 46 * q^28 - 22 * q^29 + 26 * q^30 - 12 * q^31 - 16 * q^32 - 16 * q^33 + 12 * q^34 - 26 * q^35 - 22 * q^36 + 18 * q^37 - 34 * q^38 + 14 * q^40 - 10 * q^42 - 40 * q^43 + 2 * q^44 - 24 * q^45 + 38 * q^46 - 12 * q^47 - 26 * q^48 + 8 * q^49 - 62 * q^50 + 6 * q^51 + 74 * q^52 - 30 * q^53 - 52 * q^54 - 96 * q^56 - 26 * q^58 + 10 * q^59 + 118 * q^60 - 6 * q^61 - 42 * q^62 - 28 * q^63 - 106 * q^64 - 32 * q^65 + 6 * q^66 + 24 * q^67 + 116 * q^68 + 12 * q^69 + 52 * q^70 - 98 * q^72 + 96 * q^74 - 46 * q^75 + 112 * q^76 - 14 * q^77 + 44 * q^78 - 52 * q^79 - 28 * q^80 + 66 * q^82 + 54 * q^83 + 120 * q^84 + 14 * q^85 + 86 * q^86 + 142 * q^88 + 228 * q^90 - 122 * q^91 + 146 * q^92 + 6 * q^93 + 56 * q^94 + 52 * q^95 + 86 * q^96 - 12 * q^97 + 140 * q^98 + 92 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more