LMFDB - Embedded newform 184.2.j.a.107.11

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(11,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 11, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.j (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

gp:f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			107.11
Character	$\chi$	$=$	184.107
Dual form			184.2.j.a.43.11

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0153197 - 1.41413i) q^{2} +(0.335452 + 0.734537i) q^{3} +(-1.99953 - 0.0433280i) q^{4} +(-2.69567 - 3.11097i) q^{5} +(1.04387 - 0.463120i) q^{6} +(-1.00397 - 0.645214i) q^{7} +(-0.0919036 + 2.82693i) q^{8} +(1.53757 - 1.77445i) q^{9} +(-4.44062 + 3.76438i) q^{10} +(-2.79816 + 0.402314i) q^{11} +(-0.638920 - 1.48326i) q^{12} +(0.385423 + 0.599730i) q^{13} +(-0.927797 + 1.40986i) q^{14} +(1.38086 - 3.02366i) q^{15} +(3.99625 + 0.173271i) q^{16} +(-1.46423 - 4.98670i) q^{17} +(-2.48574 - 2.20150i) q^{18} +(0.987293 - 3.36241i) q^{19} +(5.25529 + 6.33729i) q^{20} +(0.137149 - 0.953893i) q^{21} +(0.526058 + 3.96312i) q^{22} +(4.34427 + 2.03158i) q^{23} +(-2.10732 + 0.880793i) q^{24} +(-1.69993 + 11.8232i) q^{25} +(0.854001 - 0.535851i) q^{26} +(4.14358 + 1.21666i) q^{27} +(1.97952 + 1.33363i) q^{28} +(-1.87971 - 6.40170i) q^{29} +(-4.25469 - 1.99903i) q^{30} +(8.74160 + 3.99216i) q^{31} +(0.306249 - 5.64856i) q^{32} +(-1.23416 - 1.92039i) q^{33} +(-7.07427 + 1.99421i) q^{34} +(0.699139 + 4.86262i) q^{35} +(-3.15129 + 3.48144i) q^{36} +(-3.47096 + 4.00570i) q^{37} +(-4.73976 - 1.44767i) q^{38} +(-0.311233 + 0.484288i) q^{39} +(9.04226 - 7.33458i) q^{40} +(1.75664 + 2.02727i) q^{41} +(-1.34683 - 0.208560i) q^{42} +(2.28877 - 1.04525i) q^{43} +(5.61243 - 0.683201i) q^{44} -9.66503 q^{45} +(2.93947 - 6.11224i) q^{46} -8.53844i q^{47} +(1.21327 + 2.99351i) q^{48} +(-2.31625 - 5.07187i) q^{49} +(16.6936 + 2.58505i) q^{50} +(3.17174 - 2.74832i) q^{51} +(-0.744680 - 1.21588i) q^{52} +(5.97949 + 3.84279i) q^{53} +(1.78400 - 5.84092i) q^{54} +(8.79451 + 7.62049i) q^{55} +(1.91625 - 2.77887i) q^{56} +(2.80100 - 0.402724i) q^{57} +(-9.08164 + 2.56008i) q^{58} +(-2.95666 + 1.90013i) q^{59} +(-2.89208 + 5.98606i) q^{60} +(2.52389 - 5.52655i) q^{61} +(5.77935 - 12.3006i) q^{62} +(-2.68857 + 0.789435i) q^{63} +(-7.98311 - 0.519611i) q^{64} +(0.826769 - 2.81572i) q^{65} +(-2.73459 + 1.71585i) q^{66} +(-7.59646 - 1.09221i) q^{67} +(2.71170 + 10.0345i) q^{68} +(-0.0349776 + 3.87252i) q^{69} +(6.88709 - 0.914181i) q^{70} +(-6.66958 - 0.958940i) q^{71} +(4.87493 + 4.50967i) q^{72} +(-1.06524 - 0.312784i) q^{73} +(5.61142 + 4.96976i) q^{74} +(-9.25486 + 2.71747i) q^{75} +(-2.11981 + 6.68046i) q^{76} +(3.06885 + 1.40150i) q^{77} +(0.680078 + 0.447543i) q^{78} +(-5.61730 + 3.61002i) q^{79} +(-10.2335 - 12.8993i) q^{80} +(-0.506149 - 3.52034i) q^{81} +(2.89374 - 2.45306i) q^{82} +(-2.25037 - 1.94996i) q^{83} +(-0.315564 + 1.90140i) q^{84} +(-11.5664 + 17.9977i) q^{85} +(-1.44305 - 3.25263i) q^{86} +(4.07173 - 3.52818i) q^{87} +(-0.880155 - 7.94718i) q^{88} +(1.20672 - 0.551091i) q^{89} +(-0.148065 + 13.6676i) q^{90} -0.850793i q^{91} +(-8.59848 - 4.25044i) q^{92} +7.76021i q^{93} +(-12.0745 - 0.130806i) q^{94} +(-13.1218 + 5.99252i) q^{95} +(4.25181 - 1.66987i) q^{96} +(2.77192 - 2.40188i) q^{97} +(-7.20777 + 3.19777i) q^{98} +(-3.58846 + 5.58376i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) $ 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{17}{22}\right)$

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 $

$2$	0.0153197	−	1.41413i	0.0108326	−	0.999941i
$2$	0.0153197	−	1.41413i	0.0108326	−	0.999941i
$3$	0.335452	+	0.734537i	0.193673	+	0.424085i	0.981409	−	0.191928i	$-0.0614740\pi$
$3$	0.335452	+	0.734537i	0.193673	+	0.424085i	−0.787736	+	0.616013i	$0.788747\pi$
$4$	−1.99953	−	0.0433280i	−0.999765	−	0.0216640i
$5$	−2.69567	−	3.11097i	−1.20554	−	1.39127i	−0.898151	−	0.439687i	$-0.855089\pi$
$5$	−2.69567	−	3.11097i	−1.20554	−	1.39127i	−0.307391	−	0.951583i	$-0.599456\pi$
$6$	1.04387	−	0.463120i	0.426158	−	0.189068i
$7$	−1.00397	−	0.645214i	−0.379466	−	0.243868i	0.336978	−	0.941512i	$-0.390595\pi$
$7$	−1.00397	−	0.645214i	−0.379466	−	0.243868i	−0.716444	+	0.697645i	$0.754232\pi$
$8$	−0.0919036	+	2.82693i	−0.0324928	+	0.999472i
$9$	1.53757	−	1.77445i	0.512522	−	0.591482i
$10$	−4.44062	+	3.76438i	−1.40425	+	1.19040i
$11$	−2.79816	+	0.402314i	−0.843676	+	0.121302i	−0.550582	−	0.834781i	$-0.685594\pi$
$11$	−2.79816	+	0.402314i	−0.843676	+	0.121302i	−0.293094	+	0.956084i	$0.594685\pi$
$12$	−0.638920	−	1.48326i	−0.184440	−	0.428181i
$13$	0.385423	+	0.599730i	0.106897	+	0.166335i	0.890581	−	0.454825i	$-0.150298\pi$
$13$	0.385423	+	0.599730i	0.106897	+	0.166335i	−0.783684	+	0.621160i	$0.786662\pi$
$14$	−0.927797	+	1.40986i	−0.247964	+	0.376802i
$15$	1.38086	−	3.02366i	0.356536	−	0.780704i
$16$	3.99625	+	0.173271i	0.999061	+	0.0433178i
$17$	−1.46423	−	4.98670i	−0.355127	−	1.20945i	−0.922502	−	0.385992i	$-0.873859\pi$
$17$	−1.46423	−	4.98670i	−0.355127	−	1.20945i	0.567375	−	0.823459i	$-0.307959\pi$
$18$	−2.48574	−	2.20150i	−0.585895	−	0.518899i
$19$	0.987293	−	3.36241i	0.226500	−	0.771390i	−0.765309	−	0.643663i	$-0.777414\pi$
$19$	0.987293	−	3.36241i	0.226500	−	0.771390i	0.991809	−	0.127727i	$-0.0407680\pi$
$20$	5.25529	+	6.33729i	1.17512	+	1.41706i
$21$	0.137149	−	0.953893i	0.0299284	−	0.208157i
$22$	0.526058	+	3.96312i	0.112156	+	0.844941i
$23$	4.34427	+	2.03158i	0.905843	+	0.423614i
$23$	4.34427	+	2.03158i	0.905843	+	0.423614i
$24$	−2.10732	+	0.880793i	−0.430154	+	0.179791i
$25$	−1.69993	+	11.8232i	−0.339985	+	2.36465i
$26$	0.854001	−	0.535851i	0.167483	−	0.105089i
$27$	4.14358	+	1.21666i	0.797432	+	0.234147i
$28$	1.97952	+	1.33363i	0.374094	+	0.252031i
$29$	−1.87971	−	6.40170i	−0.349053	−	1.18877i	−0.927743	−	0.373219i	$-0.878254\pi$
$29$	−1.87971	−	6.40170i	−0.349053	−	1.18877i	0.578690	−	0.815547i	$-0.303564\pi$
$30$	−4.25469	−	1.99903i	−0.776796	−	0.364972i
$31$	8.74160	+	3.99216i	1.57004	+	0.717012i	0.994883	−	0.101032i	$-0.0322146\pi$
$31$	8.74160	+	3.99216i	1.57004	+	0.717012i	0.575155	+	0.818045i	$0.304942\pi$
$32$	0.306249	−	5.64856i	0.0541378	−	0.998533i
$33$	−1.23416	−	1.92039i	−0.214840	−	0.334298i
$34$	−7.07427	+	1.99421i	−1.21323	+	0.342005i
$35$	0.699139	+	4.86262i	0.118176	+	0.821933i
$36$	−3.15129	+	3.48144i	−0.525215	+	0.580240i
$37$	−3.47096	+	4.00570i	−0.570623	+	0.658534i	−0.965562	−	0.260174i	$-0.916220\pi$
$37$	−3.47096	+	4.00570i	−0.570623	+	0.658534i	0.394939	+	0.918707i	$0.370766\pi$
$38$	−4.73976	−	1.44767i	−0.768891	−	0.234843i
$39$	−0.311233	+	0.484288i	−0.0498372	+	0.0775481i
$40$	9.04226	−	7.33458i	1.42971	−	1.15970i
$41$	1.75664	+	2.02727i	0.274341	+	0.316607i	0.876155	−	0.482030i	$-0.160100\pi$
$41$	1.75664	+	2.02727i	0.274341	+	0.316607i	−0.601813	+	0.798637i	$0.705555\pi$
$42$	−1.34683	−	0.208560i	−0.207820	−	0.0321815i
$43$	2.28877	−	1.04525i	0.349034	−	0.159398i	−0.233181	−	0.972433i	$-0.574913\pi$
$43$	2.28877	−	1.04525i	0.349034	−	0.159398i	0.582215	+	0.813035i	$0.302186\pi$
$44$	5.61243	−	0.683201i	0.846106	−	0.102996i
$45$	−9.66503			−1.44078
$46$	2.93947	−	6.11224i	0.433402	−	0.901201i
$47$		−	8.53844i		−	1.24546i	−0.782437	−	0.622730i	$-0.786024\pi$
$47$		−	8.53844i		−	1.24546i	0.782437	−	0.622730i	$-0.213976\pi$
$48$	1.21327	+	2.99351i	0.175121	+	0.432077i
$49$	−2.31625	−	5.07187i	−0.330892	−	0.724553i
$50$	16.6936	+	2.58505i	2.36083	+	0.365581i
$51$	3.17174	−	2.74832i	0.444132	−	0.384842i
$52$	−0.744680	−	1.21588i	−0.103269	−	0.168612i
$53$	5.97949	+	3.84279i	0.821347	+	0.527848i	0.882517	−	0.470280i	$-0.155847\pi$
$53$	5.97949	+	3.84279i	0.821347	+	0.527848i	−0.0611706	+	0.998127i	$0.519483\pi$
$54$	1.78400	−	5.84092i	0.242772	−	0.794848i
$55$	8.79451	+	7.62049i	1.18585	+	1.02755i
$56$	1.91625	−	2.77887i	0.256069	−	0.371342i
$57$	2.80100	−	0.402724i	0.371002	−	0.0533420i
$58$	−9.08164	+	2.56008i	−1.19248	+	0.336155i
$59$	−2.95666	+	1.90013i	−0.384924	+	0.247376i	−0.718764	−	0.695254i	$-0.755292\pi$
$59$	−2.95666	+	1.90013i	−0.384924	+	0.247376i	0.333840	+	0.942630i	$0.391656\pi$
$60$	−2.89208	+	5.98606i	−0.373365	+	0.772797i
$61$	2.52389	−	5.52655i	0.323151	−	0.707602i	−0.676431	−	0.736506i	$-0.736474\pi$
$61$	2.52389	−	5.52655i	0.323151	−	0.707602i	0.999582	+	0.0289039i	$0.00920168\pi$
$62$	5.77935	−	12.3006i	0.733978	−	1.56218i
$63$	−2.68857	+	0.789435i	−0.338728	+	0.0994595i
$64$	−7.98311	−	0.519611i	−0.997888	−	0.0649513i
$65$	0.826769	−	2.81572i	0.102548	−	0.349247i
$66$	−2.73459	+	1.71585i	−0.336605	+	0.211206i
$67$	−7.59646	−	1.09221i	−0.928056	−	0.133434i	−0.338320	−	0.941031i	$-0.609859\pi$
$67$	−7.59646	−	1.09221i	−0.928056	−	0.133434i	−0.589735	+	0.807597i	$0.700768\pi$
$68$	2.71170	+	10.0345i	0.328842	+	1.21686i
$69$	−0.0349776	+	3.87252i	−0.00421081	+	0.466197i
$70$	6.88709	−	0.914181i	0.823165	−	0.109265i
$71$	−6.66958	−	0.958940i	−0.791533	−	0.113805i	−0.265323	−	0.964160i	$-0.585478\pi$
$71$	−6.66958	−	0.958940i	−0.791533	−	0.113805i	−0.526210	+	0.850354i	$0.676388\pi$
$72$	4.87493	+	4.50967i	0.574516	+	0.531470i
$73$	−1.06524	−	0.312784i	−0.124677	−	0.0366086i	0.218799	−	0.975770i	$-0.429786\pi$
$73$	−1.06524	−	0.312784i	−0.124677	−	0.0366086i	−0.343476	+	0.939161i	$0.611604\pi$
$74$	5.61142	+	4.96976i	0.652314	+	0.577723i
$75$	−9.25486	+	2.71747i	−1.06866	+	0.313787i
$76$	−2.11981	+	6.68046i	−0.243159	+	0.766302i
$77$	3.06885	+	1.40150i	0.349728	+	0.159715i
$78$	0.680078	+	0.447543i	0.0770037	+	0.0506743i
$79$	−5.61730	+	3.61002i	−0.631996	+	0.406159i	−0.817048	−	0.576569i	$-0.804391\pi$
$79$	−5.61730	+	3.61002i	−0.631996	+	0.406159i	0.185052	+	0.982729i	$0.440755\pi$
$80$	−10.2335	−	12.8993i	−1.14414	−	1.44219i
$81$	−0.506149	−	3.52034i	−0.0562388	−	0.391149i
$82$	2.89374	−	2.45306i	0.319560	−	0.270896i
$83$	−2.25037	−	1.94996i	−0.247011	−	0.214036i	0.522552	−	0.852608i	$-0.324980\pi$
$83$	−2.25037	−	1.94996i	−0.247011	−	0.214036i	−0.769562	+	0.638572i	$0.779526\pi$
$84$	−0.315564	+	1.90140i	−0.0344309	+	0.207459i
$85$	−11.5664	+	17.9977i	−1.25455	+	1.95212i
$86$	−1.44305	−	3.25263i	−0.155608	−	0.350740i
$87$	4.07173	−	3.52818i	0.436536	−	0.378260i
$88$	−0.880155	−	7.94718i	−0.0938248	−	0.847172i
$89$	1.20672	−	0.551091i	0.127912	−	0.0584156i	−0.350431	−	0.936589i	$-0.613965\pi$
$89$	1.20672	−	0.551091i	0.127912	−	0.0584156i	0.478343	+	0.878173i	$0.341238\pi$
$90$	−0.148065	+	13.6676i	−0.0156074	+	1.44069i
$91$		−	0.850793i		−	0.0891873i
$92$	−8.59848	−	4.25044i	−0.896453	−	0.443139i
$93$			7.76021i			0.804696i
$94$	−12.0745	−	0.130806i	−1.24539	−	0.0134916i
$95$	−13.1218	+	5.99252i	−1.34627	+	0.614820i
$96$	4.25181	−	1.66987i	0.433948	−	0.170430i
$97$	2.77192	−	2.40188i	0.281446	−	0.243874i	−0.502685	−	0.864470i	$-0.667654\pi$
$97$	2.77192	−	2.40188i	0.281446	−	0.243874i	0.784131	+	0.620595i	$0.213109\pi$
$98$	−7.20777	+	3.19777i	−0.728095	+	0.323024i
$99$	−3.58846	+	5.58376i	−0.360654	+	0.561189i
$100$	3.91133	−	23.5673i	0.391133	−	2.35673i
$101$	−6.35794	−	5.50918i	−0.632638	−	0.548184i	0.278421	−	0.960459i	$-0.410189\pi$
$101$	−6.35794	−	5.50918i	−0.632638	−	0.548184i	−0.911060	+	0.412275i	$0.864734\pi$
$102$	−3.83790	−	4.52735i	−0.380009	−	0.448275i
$103$	1.68141	+	11.6945i	0.165674	+	1.15229i	0.887699	+	0.460424i	$0.152303\pi$
$103$	1.68141	+	11.6945i	0.165674	+	1.15229i	−0.722025	+	0.691867i	$0.756788\pi$
$104$	−1.73082	+	1.03445i	−0.169721	+	0.101436i
$105$	−3.33725	+	2.14472i	−0.325682	+	0.209303i
$106$	5.52581	−	8.39692i	0.536714	−	0.815581i
$107$	13.2027	+	6.02947i	1.27635	+	0.582891i	0.934199	−	0.356753i	$-0.116116\pi$
$107$	13.2027	+	6.02947i	1.27635	+	0.582891i	0.342154	+	0.939644i	$0.388844\pi$
$108$	−8.23249	−	2.61229i	−0.792172	−	0.251368i
$109$	7.96888	−	2.33987i	0.763280	−	0.224119i	0.123153	−	0.992388i	$-0.460700\pi$
$109$	7.96888	−	2.33987i	0.763280	−	0.224119i	0.640128	+	0.768268i	$0.278881\pi$
$110$	10.9111	−	12.3198i	1.04033	−	1.17465i
$111$	−4.10668	−	1.20583i	−0.389789	−	0.114452i
$112$	−3.90032	−	2.75239i	−0.368546	−	0.260077i
$113$	6.17741	+	0.888178i	0.581122	+	0.0835528i	0.426606	−	0.904437i	$-0.359709\pi$
$113$	6.17741	+	0.888178i	0.581122	+	0.0835528i	0.154516	+	0.987990i	$0.450618\pi$
$114$	−0.526593	−	3.96715i	−0.0493200	−	0.371558i
$115$	−5.39055	−	18.9914i	−0.502671	−	1.77096i
$116$	3.48116	+	12.8818i	0.323218	+	1.19605i
$117$	1.65680	+	0.238212i	0.153171	+	0.0220227i
$118$	2.64174	+	4.21021i	0.243192	+	0.387582i
$119$	−1.74744	+	5.95124i	−0.160188	+	0.545550i
$120$	8.42077	+	4.18148i	0.768707	+	0.381715i
$121$	−2.88660	+	0.847581i	−0.262418	+	0.0770528i
$122$	−7.77659	−	3.65377i	−0.704060	−	0.330797i
$123$	−0.899839	+	1.97037i	−0.0811357	+	0.177662i
$124$	−17.3061	−	8.36119i	−1.55414	−	0.750857i
$125$	24.0496	−	15.4557i	2.15106	−	1.38240i
$126$	1.07518	+	3.81408i	0.0957844	+	0.339786i
$127$	2.78733	−	0.400757i	0.247335	−	0.0355614i	−0.0175322	−	0.999846i	$-0.505581\pi$
$127$	2.78733	−	0.400757i	0.247335	−	0.0355614i	0.264867	+	0.964285i	$0.414672\pi$
$128$	−0.857096	+	11.2812i	−0.0757573	+	0.997126i
$129$	1.53554	+	1.33056i	0.135197	+	0.117149i
$130$	−3.96913	−	1.21230i	−0.348115	−	0.106325i
$131$	15.7100	+	10.0962i	1.37259	+	0.882109i	0.998966	−	0.0454725i	$-0.0144793\pi$
$131$	15.7100	+	10.0962i	1.37259	+	0.882109i	0.373622	+	0.927581i	$0.378116\pi$
$132$	2.38454	+	3.89336i	0.207547	+	0.338873i
$133$	−3.16069	+	2.73875i	−0.274066	+	0.237480i
$134$	−1.66090	+	10.7257i	−0.143480	+	0.926556i
$135$	−7.38472	−	16.1703i	−0.635576	−	1.39172i
$136$	14.2316	−	3.68097i	1.22035	−	0.315641i
$137$			7.99573i			0.683121i	0.939860	+	0.341561i	$0.110955\pi$
$137$			7.99573i			0.683121i	−0.939860	+	0.341561i	$0.889045\pi$
$138$	5.47572	+	0.108789i	0.466124	+	0.00926071i
$139$	11.6385			0.987164			0.493582	−	0.869699i	$-0.335687\pi$
$139$	11.6385			0.987164			0.493582	+	0.869699i	$0.335687\pi$
$140$	−1.18726	−	9.75325i	−0.100342	−	0.824300i
$141$	6.27180	−	2.86424i	0.528181	−	0.241212i
$142$	−1.45824	+	9.41696i	−0.122373	+	0.790254i
$143$	−1.31975	−	1.52308i	−0.110363	−	0.127366i
$144$	6.45195	−	6.82470i	0.537662	−	0.568725i
$145$	−14.8484	+	23.1046i	−1.23310	+	1.91874i
$146$	−0.458636	+	1.50160i	−0.0379570	+	0.124274i
$147$	2.94849	−	3.40274i	0.243187	−	0.280653i
$148$	7.11386	−	7.85914i	0.584755	−	0.646017i
$149$	−1.98226	−	13.7869i	−0.162393	−	1.12947i	−0.894107	−	0.447854i	$-0.852188\pi$
$149$	−1.98226	−	13.7869i	−0.162393	−	1.12947i	0.731714	−	0.681612i	$-0.238721\pi$
$150$	3.70108	+	13.1292i	0.302192	+	1.07200i
$151$	−12.9584	−	20.1637i	−1.05454	−	1.64089i	−0.713209	−	0.700951i	$-0.752759\pi$
$151$	−12.9584	−	20.1637i	−1.05454	−	1.64089i	−0.341330	−	0.939944i	$-0.610877\pi$
$152$	9.41457	+	3.10003i	0.763623	+	0.251445i
$153$	−11.1000	−	5.06918i	−0.897379	−	0.409819i
$154$	2.02891	−	4.31829i	0.163495	−	0.347977i
$155$	−11.1450	−	37.9565i	−0.895190	−	3.04874i
$156$	0.643303	−	0.954864i	0.0515055	−	0.0764503i
$157$	13.5472	+	3.97782i	1.08118	+	0.317465i	0.773353	−	0.633976i	$-0.218578\pi$
$157$	13.5472	+	3.97782i	1.08118	+	0.317465i	0.307832	+	0.951441i	$0.400396\pi$
$158$	5.01899	+	7.99891i	0.399289	+	0.636359i
$159$	−0.816838	+	5.68123i	−0.0647794	+	0.450551i
$160$	−18.3981	+	14.2739i	−1.45450	+	1.12845i
$161$	−3.05072	−	4.84263i	−0.240431	−	0.381653i
$162$	−4.98598	+	0.661830i	−0.391736	+	0.0519983i
$163$	−3.18388	+	22.1444i	−0.249381	+	1.73448i	0.352426	+	0.935840i	$0.385357\pi$
$163$	−3.18388	+	22.1444i	−0.249381	+	1.73448i	−0.601807	+	0.798642i	$0.705552\pi$
$164$	−3.42462	−	4.12971i	−0.267418	−	0.322476i
$165$	−2.64740	+	9.01620i	−0.206099	+	0.701910i
$166$	−2.79197	+	3.15245i	−0.216699	+	0.244678i
$167$	2.92696	+	9.96833i	0.226495	+	0.771372i	0.991811	+	0.127717i	$0.0407648\pi$
$167$	2.92696	+	9.96833i	0.226495	+	0.771372i	−0.765315	+	0.643655i	$0.777417\pi$
$168$	2.68399	+	0.475378i	0.207074	+	0.0366762i
$169$	5.18927	−	11.3629i	0.399175	−	0.874071i
$170$	25.2739	+	16.6321i	1.93842	+	1.27563i
$171$	−4.44838	−	6.92182i	−0.340176	−	0.529325i
$172$	−4.62175	+	1.99083i	−0.352405	+	0.151800i
$173$	12.1963	−	1.75357i	0.927271	−	0.133321i	0.337898	−	0.941183i	$-0.390284\pi$
$173$	12.1963	−	1.75357i	0.927271	−	0.133321i	0.589373	+	0.807861i	$0.299375\pi$
$174$	−4.92693	−	5.81201i	−0.373509	−	0.440608i
$175$	9.33520	−	10.7734i	0.705675	−	0.814392i
$176$	−11.2518	+	1.12291i	−0.848139	+	0.0846422i
$177$	−2.38753	−	1.53437i	−0.179458	−	0.115331i
$178$	−0.760828	−	1.71490i	−0.0570265	−	0.128538i
$179$	3.09819	+	3.57550i	0.231569	+	0.267245i	0.859628	−	0.510921i	$-0.170696\pi$
$179$	3.09819	+	3.57550i	0.231569	+	0.267245i	−0.628058	+	0.778166i	$0.716150\pi$
$180$	19.3255	+	0.418767i	1.44044	+	0.0312130i
$181$	3.02811	+	6.63063i	0.225077	+	0.492851i	0.988156	−	0.153456i	$-0.0490402\pi$
$181$	3.02811	+	6.63063i	0.225077	+	0.492851i	−0.763078	+	0.646306i	$0.776313\pi$
$182$	−1.20313	−	0.0130339i	−0.0891821	−	0.000966134i
$183$	4.90610			0.362669
$184$	−6.14240	+	12.0943i	−0.452823	+	0.891600i
$185$	21.8182			1.60411
$186$	10.9739	+	0.118884i	0.804649	+	0.00871698i
$187$	6.10335	+	13.3645i	0.446321	+	0.977307i
$188$	−0.369954	+	17.0729i	−0.0269816	+	1.24517i
$189$	−3.37503	−	3.89499i	−0.245497	−	0.283319i
$190$	8.27319	+	18.6477i	0.600200	+	1.35285i
$191$	−19.0826	−	12.2636i	−1.38077	−	0.887365i	−0.381453	−	0.924388i	$-0.624576\pi$
$191$	−19.0826	−	12.2636i	−1.38077	−	0.887365i	−0.999314	+	0.0370232i	$0.988212\pi$
$192$	−2.29627	−	6.03819i	−0.165719	−	0.435769i
$193$	3.51251	−	4.05365i	0.252836	−	0.291788i	−0.615116	−	0.788437i	$-0.710891\pi$
$193$	3.51251	−	4.05365i	0.252836	−	0.291788i	0.867952	+	0.496648i	$0.165436\pi$
$194$	−3.35411	−	3.95665i	−0.240811	−	0.284071i
$195$	2.34559	−	0.337245i	0.167971	−	0.0241506i
$196$	4.41165	+	10.2417i	0.315118	+	0.731551i
$197$	4.62877	+	7.20250i	0.329786	+	0.513157i	0.966064	−	0.258303i	$-0.0831632\pi$
$197$	4.62877	+	7.20250i	0.329786	+	0.513157i	−0.636278	+	0.771460i	$0.719527\pi$
$198$	7.84119	+	5.16010i	0.557249	+	0.366712i
$199$	−0.664735	+	1.45557i	−0.0471218	+	0.103182i	−0.931729	−	0.363155i	$-0.881700\pi$
$199$	−0.664735	+	1.45557i	−0.0471218	+	0.103182i	0.884607	+	0.466338i	$0.154427\pi$
$200$	−33.2673	−	5.89218i	−2.35235	−	0.416640i
$201$	−1.74598	−	5.94627i	−0.123152	−	0.419417i
$202$	−7.88811	+	8.90655i	−0.555005	+	0.626663i
$203$	−2.24329	+	7.63995i	−0.157448	+	0.536219i
$204$	−6.46106	+	5.35793i	−0.452365	+	0.375130i
$205$	1.57146	−	10.9297i	0.109756	−	0.763366i
$206$	16.5633	−	2.19858i	1.15402	−	0.153182i
$207$	10.2845	−	4.58498i	0.714824	−	0.318678i
$208$	1.43633	+	2.46345i	0.0995915	+	0.170810i
$209$	−1.40985	+	9.80575i	−0.0975217	+	0.678278i
$210$	2.98179	+	4.75216i	0.205763	+	0.327930i
$211$	−2.33476	−	0.685548i	−0.160732	−	0.0471951i	0.200377	−	0.979719i	$-0.435783\pi$
$211$	−2.33476	−	0.685548i	−0.160732	−	0.0471951i	−0.361108	+	0.932524i	$0.617602\pi$
$212$	−11.7897	−	7.94285i	−0.809719	−	0.545517i
$213$	−1.53294	−	5.22073i	−0.105036	−	0.357718i
$214$	8.72872	−	18.5780i	0.596683	−	1.26996i
$215$	−9.42151	−	4.30266i	−0.642542	−	0.293439i
$216$	−3.82024	+	11.6018i	−0.259934	+	0.789402i
$217$	−6.20053	−	9.64822i	−0.420920	−	0.654964i
$218$	−3.18681	−	11.3049i	−0.215838	−	0.765663i
$219$	−0.127587	−	0.887385i	−0.00862151	−	0.0599639i
$220$	−17.2547	−	15.6184i	−1.16331	−	1.05300i
$221$	2.42632	−	2.80013i	0.163212	−	0.188357i
$222$	−1.76811	+	5.78891i	−0.118668	+	0.388526i
$223$	5.35222	−	8.32822i	0.358411	−	0.557699i	−0.614489	−	0.788926i	$-0.710638\pi$
$223$	5.35222	−	8.32822i	0.358411	−	0.557699i	0.972900	+	0.231227i	$0.0742740\pi$
$224$	−3.95199	+	5.47340i	−0.264054	+	0.365707i
$225$	18.3660	+	21.1954i	1.22440	+	1.41303i
$226$	1.35064	−	8.72206i	0.0898430	−	0.580183i
$227$	−14.8243	+	6.77004i	−0.983924	+	0.449343i	−0.841379	−	0.540445i	$-0.818256\pi$
$227$	−14.8243	+	6.77004i	−0.983924	+	0.449343i	−0.142545	+	0.989788i	$0.545529\pi$
$228$	−5.61814	+	0.683896i	−0.372071	+	0.0452921i
$229$	6.48237			0.428367			0.214183	−	0.976793i	$-0.431291\pi$
$229$	6.48237			0.428367			0.214183	+	0.976793i	$0.431291\pi$
$230$	−26.9389	+	7.33199i	−1.77630	+	0.483457i
$231$			2.72432i			0.179247i
$232$	18.2699	−	4.72547i	1.19948	−	0.310242i
$233$	1.64548	+	3.60311i	0.107799	+	0.236047i	0.955842	−	0.293880i	$-0.0949465\pi$
$233$	1.64548	+	3.60311i	0.107799	+	0.236047i	−0.848043	+	0.529927i	$0.822219\pi$
$234$	0.362244	−	2.33928i	0.0236807	−	0.152924i
$235$	−26.5629	+	23.0169i	−1.73277	+	1.50145i
$236$	5.99426	−	3.67126i	0.390193	−	0.238979i
$237$	−4.53603	−	2.91513i	−0.294647	−	0.189358i
$238$	8.38907	+	2.56228i	0.543782	+	0.166088i
$239$	10.6463	+	9.22509i	0.688653	+	0.596721i	0.927270	−	0.374392i	$-0.122149\pi$
$239$	10.6463	+	9.22509i	0.688653	+	0.596721i	−0.238617	+	0.971114i	$0.576694\pi$
$240$	6.04216	−	11.8440i	0.390020	−	0.764527i
$241$	28.5196	−	4.10050i	1.83711	−	0.264136i	0.865530	−	0.500856i	$-0.166982\pi$
$241$	28.5196	−	4.10050i	1.83711	−	0.264136i	0.971578	+	0.236720i	$0.0760725\pi$
$242$	1.15437	+	4.09501i	0.0742056	+	0.263237i
$243$	13.3149	−	8.55697i	0.854152	−	0.548930i
$244$	−5.28605	+	10.9411i	−0.338405	+	0.700435i
$245$	−9.53461	+	20.8779i	−0.609144	+	1.33384i
$246$	2.77258	+	1.30267i	0.176773	+	0.0830555i
$247$	2.39706	−	0.703841i	0.152521	−	0.0447843i
$248$	−12.0889	+	24.3450i	−0.767649	+	1.54591i
$249$	0.677426	−	2.30710i	0.0429301	−	0.146207i
$250$	−21.4880	−	34.2460i	−1.35902	−	2.16591i
$251$	6.84957	+	0.984819i	0.432341	+	0.0621612i	0.355050	−	0.934847i	$-0.384464\pi$
$251$	6.84957	+	0.984819i	0.432341	+	0.0621612i	0.0772909	+	0.997009i	$0.475373\pi$
$252$	5.41008	−	1.46201i	0.340803	−	0.0920980i
$253$	−12.9733	−	3.93692i	−0.815623	−	0.247512i
$254$	−0.524022	−	3.94778i	−0.0328800	−	0.247706i
$255$	−17.0999	−	2.45860i	−1.07084	−	0.153963i
$256$	15.9400	+	1.38487i	0.996247	+	0.0865544i
$257$	−15.2270	−	4.47104i	−0.949831	−	0.278896i	−0.230115	−	0.973164i	$-0.573910\pi$
$257$	−15.2270	−	4.47104i	−0.949831	−	0.278896i	−0.719717	+	0.694268i	$0.755728\pi$
$258$	1.90510	−	2.15107i	0.118607	−	0.133920i
$259$	6.06929	−	1.78210i	0.377127	−	0.110735i
$260$	−1.77515	+	5.59429i	−0.110090	+	0.346943i
$261$	−14.2496	−	6.50759i	−0.882031	−	0.402810i
$262$	14.5180	−	22.0613i	0.896926	−	1.36295i
$263$	−12.8236	+	8.24123i	−0.790737	+	0.508176i	−0.872581	−	0.488469i	$-0.837555\pi$
$263$	−12.8236	+	8.24123i	−0.790737	+	0.508176i	0.0818439	+	0.996645i	$0.473919\pi$
$264$	5.54225	−	3.31240i	0.341102	−	0.203864i
$265$	−4.16396	−	28.9610i	−0.255790	−	1.77906i
$266$	3.82453	+	4.51158i	0.234497	+	0.276623i
$267$	0.809594	+	0.701517i	0.0495463	+	0.0429322i
$268$	15.1420	+	2.51304i	0.924947	+	0.153508i
$269$	9.67748	−	15.0584i	0.590046	−	0.918130i	−0.409936	−	0.912114i	$-0.634449\pi$
$269$	9.67748	−	15.0584i	0.590046	−	0.918130i	0.999982	−	0.00601538i	$-0.00191477\pi$
$270$	−22.9800	+	10.1952i	−1.39852	+	0.620463i
$271$	−3.32001	+	2.87681i	−0.201676	+	0.174754i	−0.749844	−	0.661615i	$-0.769871\pi$
$271$	−3.32001	+	2.87681i	−0.201676	+	0.174754i	0.548167	+	0.836369i	$0.315326\pi$
$272$	−4.98735	−	20.1818i	−0.302403	−	1.22370i
$273$	0.624939	−	0.285400i	0.0378230	−	0.0172732i
$274$	11.3070	+	0.122492i	0.683081	+	0.00740000i
$275$		−	33.7672i		−	2.03624i
$276$	0.237728	−	7.74172i	0.0143095	−	0.465997i
$277$			25.0274i			1.50375i	0.659306	+	0.751874i	$0.270850\pi$
$277$			25.0274i			1.50375i	−0.659306	+	0.751874i	$0.729150\pi$
$278$	0.178298	−	16.4583i	0.0106936	−	0.987106i
$279$	20.5246	−	9.37329i	1.22878	−	0.561164i
$280$	−13.8106	+	1.52953i	−0.825339	+	0.0914068i
$281$	−6.15991	+	5.33759i	−0.367469	+	0.318414i	−0.818948	−	0.573868i	$-0.805442\pi$
$281$	−6.15991	+	5.33759i	−0.367469	+	0.318414i	0.451479	+	0.892282i	$0.350897\pi$
$282$	−3.95432	−	8.91302i	−0.235476	−	0.530763i
$283$	12.2612	−	19.0788i	0.728852	−	1.13412i	−0.256986	−	0.966415i	$-0.582730\pi$
$283$	12.2612	−	19.0788i	0.728852	−	1.13412i	0.985838	−	0.167700i	$-0.0536341\pi$
$284$	13.2945	+	2.20641i	0.788882	+	0.130926i
$285$	−8.80346	−	7.62824i	−0.521472	−	0.451858i
$286$	−2.17405	+	1.84297i	−0.128554	+	0.108977i
$287$	−0.455596	−	3.16874i	−0.0268930	−	0.187045i
$288$	−9.55218	−	9.22845i	−0.562867	−	0.543792i
$289$	−8.42186	+	5.41240i	−0.495404	+	0.318377i
$290$	32.4455	+	21.3516i	1.90526	+	1.25381i
$291$	2.69412	+	1.23036i	0.157932	+	0.0721251i
$292$	2.11644	+	0.671576i	0.123855	+	0.0393010i
$293$	8.54601	−	2.50934i	0.499263	−	0.146597i	−0.0223988	−	0.999749i	$-0.507130\pi$
$293$	8.54601	−	2.50934i	0.499263	−	0.146597i	0.521662	+	0.853152i	$0.325312\pi$
$294$	−4.76674	−	4.22168i	−0.278002	−	0.246213i
$295$	13.8815	+	4.07596i	0.808210	+	0.237312i
$296$	−11.0049	−	10.1803i	−0.639645	−	0.591719i
$297$	−12.0839	−	1.73740i	−0.701176	−	0.100814i
$298$	−19.5268	+	2.59196i	−1.13116	+	0.150148i
$299$	0.455982	+	3.38841i	0.0263701	+	0.195957i
$300$	18.6231	−	5.03267i	1.07521	−	0.290561i
$301$	−2.97227	−	0.427348i	−0.171319	−	0.0246319i
$302$	−28.7126	+	18.0160i	−1.65222	+	1.03670i
$303$	1.91392	−	6.51821i	0.109952	−	0.374461i
$304$	4.52807	−	13.2659i	0.259703	−	0.760854i
$305$	−23.9965	+	7.04602i	−1.37404	+	0.403454i
$306$	−7.33853	+	15.6191i	−0.419516	+	0.892887i
$307$	−2.64539	+	5.79259i	−0.150980	+	0.330601i	−0.969977	−	0.243198i	$-0.921804\pi$
$307$	−2.64539	+	5.79259i	−0.150980	+	0.330601i	0.818996	+	0.573799i	$0.194531\pi$
$308$	−6.07554	−	2.93530i	−0.346186	−	0.167254i
$309$	−8.02600	+	5.15799i	−0.456583	+	0.293428i
$310$	−53.8461	+	15.1790i	−3.05825	+	0.862111i
$311$	−19.7682	+	2.84224i	−1.12095	+	0.161169i	−0.677778	−	0.735266i	$-0.737057\pi$
$311$	−19.7682	+	2.84224i	−1.12095	+	0.161169i	−0.443175	+	0.896435i	$0.646148\pi$
$312$	−1.34045	−	0.924343i	−0.0758878	−	0.0523306i
$313$	−16.7962	−	14.5540i	−0.949379	−	0.822642i	0.0348766	−	0.999392i	$-0.488896\pi$
$313$	−16.7962	−	14.5540i	−0.949379	−	0.822642i	−0.984256	+	0.176750i	$0.943442\pi$
$314$	5.83269	−	19.0966i	0.329158	−	1.07768i
$315$	9.70343	+	6.23601i	0.546726	+	0.351360i
$316$	11.3884	−	6.97496i	0.640647	−	0.392372i
$317$	−10.2670	+	8.89640i	−0.576652	+	0.499672i	−0.893656	−	0.448753i	$-0.851868\pi$
$317$	−10.2670	+	8.89640i	−0.576652	+	0.499672i	0.317004	+	0.948424i	$0.397323\pi$
$318$	8.02149	+	1.24215i	0.449823	+	0.0696563i
$319$	7.83522	+	17.1567i	0.438688	+	0.960592i
$320$	19.9034	+	26.2359i	1.11263	+	1.46663i
$321$			11.7205i			0.654172i
$322$	−6.89485	+	4.23993i	−0.384235	+	0.236282i
$323$	−18.2129			−1.01339
$324$	0.859531	+	7.06097i	0.0477517	+	0.392276i
$325$	−7.74594	+	3.53745i	−0.429668	+	0.196223i
$326$	31.2663	+	4.84167i	1.73168	+	0.268155i
$327$	4.39190	+	5.06852i	0.242873	+	0.280290i
$328$	−5.89241	+	4.77960i	−0.325354	+	0.263909i
$329$	−5.50912	+	8.57236i	−0.303728	+	0.472609i
$330$	12.7095	+	3.88189i	0.699637	+	0.213691i
$331$	6.45977	−	7.45498i	0.355061	−	0.409763i	−0.549918	−	0.835219i	$-0.685341\pi$
$331$	6.45977	−	7.45498i	0.355061	−	0.409763i	0.904979	+	0.425456i	$0.139886\pi$
$332$	4.41520	+	3.99651i	0.242316	+	0.219337i
$333$	1.77107	+	12.3181i	0.0970541	+	0.675026i
$334$	14.1414	−	3.98640i	0.773780	−	0.218126i
$335$	17.0798	+	26.5766i	0.933167	+	1.45204i
$336$	0.713364	−	3.78823i	0.0389172	−	0.206665i
$337$	23.3059	+	10.6434i	1.26955	+	0.579785i	0.932320	−	0.361636i	$-0.117782\pi$
$337$	23.3059	+	10.6434i	1.26955	+	0.579785i	0.337234	+	0.941421i	$0.390509\pi$
$338$	−15.9891	−	7.51238i	−0.869695	−	0.408620i
$339$	1.41983	+	4.83548i	0.0771143	+	0.262627i
$340$	23.9072	−	35.4858i	1.29655	−	1.92449i
$341$	−26.0665	−	7.65381i	−1.41158	−	0.414477i
$342$	−9.85651	+	6.18456i	−0.532979	+	0.334423i
$343$	−2.13589	+	14.8554i	−0.115327	+	0.802118i
$344$	2.74449	+	6.56626i	0.147973	+	0.354029i
$345$	12.1416	−	10.3303i	0.653683	−	0.556162i
$346$	−2.29293	−	17.2741i	−0.123269	−	0.928661i
$347$	0.711400	−	4.94789i	0.0381899	−	0.265617i	−0.961776	−	0.273836i	$-0.911707\pi$
$347$	0.711400	−	4.94789i	0.0381899	−	0.265617i	0.999966	+	0.00821960i	$0.00261641\pi$
$348$	−8.29443	+	6.87828i	−0.444628	+	0.368714i
$349$	6.95665	−	23.6922i	0.372381	−	1.26821i	−0.533903	−	0.845545i	$-0.679275\pi$
$349$	6.95665	−	23.6922i	0.372381	−	1.26821i	0.906285	−	0.422668i	$-0.138906\pi$
$350$	−15.0920	−	13.3662i	−0.806700	−	0.714456i
$351$	0.867360	+	2.95396i	0.0462962	+	0.157671i
$352$	1.41556	+	15.9288i	0.0754497	+	0.849006i
$353$	−9.80516	+	21.4703i	−0.521876	+	1.14275i	0.446848	+	0.894610i	$0.352546\pi$
$353$	−9.80516	+	21.4703i	−0.521876	+	1.14275i	−0.968724	+	0.248140i	$0.920181\pi$
$354$	−2.20638	+	3.35278i	−0.117268	+	0.178198i
$355$	14.9958	+	23.3339i	0.795893	+	1.23843i
$356$	−2.43675	+	1.04964i	−0.129148	+	0.0556308i
$357$	−4.95759	+	0.712794i	−0.262384	+	0.0377251i
$358$	5.10368	−	4.32646i	0.269738	−	0.228661i
$359$	−7.14000	+	8.24000i	−0.376835	+	0.434891i	−0.912210	−	0.409724i	$-0.865625\pi$
$359$	−7.14000	+	8.24000i	−0.376835	+	0.434891i	0.535375	+	0.844615i	$0.320170\pi$
$360$	0.888251	−	27.3224i	0.0468149	−	1.44002i
$361$	5.65276	+	3.63281i	0.297514	+	0.191201i
$362$	9.42296	−	4.18056i	0.495260	−	0.219725i
$363$	−1.59089	−	1.83599i	−0.0835003	−	0.0963645i
$364$	−0.0368632	+	1.70119i	−0.00193215	+	0.0891664i
$365$	1.89849	+	4.15711i	0.0993715	+	0.217593i
$366$	0.0751598	−	6.93786i	0.00392866	−	0.362648i
$367$	24.7814			1.29358			0.646789	−	0.762669i	$-0.276111\pi$
$367$	24.7814			1.29358			0.646789	+	0.762669i	$0.276111\pi$
$368$	17.0088	+	8.87143i	0.886643	+	0.462455i
$369$	6.29824			0.327873
$370$	0.334248	−	30.8538i	0.0173767	−	1.60401i
$371$	−3.52383	−	7.71611i	−0.182948	−	0.400600i
$372$	0.336234	−	15.5168i	0.0174329	−	0.804507i
$373$	9.63463	+	11.1190i	0.498862	+	0.575718i	0.948212	−	0.317638i	$-0.102890\pi$
$373$	9.63463	+	11.1190i	0.498862	+	0.575718i	−0.449350	+	0.893356i	$0.648344\pi$
$374$	18.9926	−	8.42620i	0.982085	−	0.435708i
$375$	19.4203	+	12.4806i	1.00286	+	0.644498i
$376$	24.1376	+	0.784713i	1.24480	+	0.0404685i
$377$	3.11481	−	3.59468i	0.160421	−	0.185135i
$378$	−5.55973	+	4.71306i	−0.285962	+	0.242414i
$379$	−20.0784	+	2.88684i	−1.03136	+	0.148287i	−0.637155	−	0.770736i	$-0.719889\pi$
$379$	−20.0784	+	2.88684i	−1.03136	+	0.148287i	−0.394205	+	0.919023i	$0.628980\pi$
$380$	26.4971	−	11.4137i	1.35927	−	0.585510i
$381$	1.22938	+	1.91296i	0.0629833	+	0.0980039i
$382$	−17.6347	+	26.7974i	−0.902270	+	1.37107i
$383$	−8.52665	+	18.6708i	−0.435692	+	0.954032i	0.556677	+	0.830729i	$0.312076\pi$
$383$	−8.52665	+	18.6708i	−0.435692	+	0.954032i	−0.992369	+	0.123303i	$0.960651\pi$
$384$	−8.57397	+	3.15473i	−0.437539	+	0.160989i
$385$	−3.91260	−	13.3251i	−0.199405	−	0.679110i
$386$	−5.67859	−	5.02925i	−0.289032	−	0.255982i
$387$	1.66440	−	5.66843i	0.0846062	−	0.288142i
$388$	−5.64661	+	4.68254i	−0.286663	+	0.237720i
$389$	−1.87186	+	13.0191i	−0.0949070	+	0.660093i	0.885722	+	0.464217i	$0.153664\pi$
$389$	−1.87186	+	13.0191i	−0.0949070	+	0.660093i	−0.980629	+	0.195876i	$0.937245\pi$
$390$	−0.440975	−	3.32214i	−0.0223296	−	0.168223i
$391$	3.76988	−	24.6382i	0.190651	−	1.24601i
$392$	14.5507	−	6.08175i	0.734922	−	0.307175i
$393$	−2.14609	+	14.9264i	−0.108256	+	0.752935i
$394$	10.2562	−	6.43534i	0.516700	−	0.324208i
$395$	26.3731	+	7.74385i	1.32698	+	0.389635i
$396$	7.41718	−	11.0094i	0.372727	−	0.553244i
$397$	−1.22567	−	4.17425i	−0.0615146	−	0.209500i	0.923001	−	0.384798i	$-0.125729\pi$
$397$	−1.22567	−	4.17425i	−0.0615146	−	0.209500i	−0.984515	+	0.175299i	$0.943911\pi$
$398$	2.04818	+	0.962321i	0.102666	+	0.0482368i
$399$	−3.07197	−	1.40292i	−0.153791	−	0.0702340i
$400$	−8.84195	+	46.9540i	−0.442098	+	2.34770i
$401$	−15.2183	−	23.6802i	−0.759968	−	1.18253i	−0.978408	−	0.206683i	$-0.933733\pi$
$401$	−15.2183	−	23.6802i	−0.759968	−	1.18253i	0.218440	−	0.975850i	$-0.429903\pi$
$402$	−8.43554	+	2.37795i	−0.420727	+	0.118601i
$403$	0.974999	+	6.78127i	0.0485682	+	0.337799i
$404$	12.4742	+	11.2913i	0.620614	+	0.561761i
$405$	−9.58729	+	11.0643i	−0.476396	+	0.549791i
$406$	10.7695	+	3.28935i	0.534482	+	0.163248i
$407$	8.10075	−	12.6050i	0.401539	−	0.624807i
$408$	7.47784	+	9.21887i	0.370208	+	0.456402i
$409$	2.83331	+	3.26982i	0.140098	+	0.161682i	0.821463	−	0.570262i	$-0.193158\pi$
$409$	2.83331	+	3.26982i	0.140098	+	0.161682i	−0.681364	+	0.731944i	$0.738613\pi$
$410$	−15.4320	−	2.38969i	−0.762133	−	0.118018i
$411$	−5.87316	+	2.68218i	−0.289702	+	0.132302i
$412$	−2.85534	−	23.4563i	−0.140672	−	1.15561i
$413$	4.19440			0.206393
$414$	−6.32621	−	14.6139i	−0.310916	−	0.718234i
$415$			12.2573i			0.601688i
$416$	3.50564	−	1.99342i	0.171878	−	0.0977353i
$417$	3.90415	+	8.54890i	0.191187	+	0.418642i
$418$	13.8450	+	2.14394i	0.677182	+	0.104863i
$419$	−19.9227	+	17.2631i	−0.973289	+	0.843360i	−0.987672	−	0.156537i	$-0.949967\pi$
$419$	−19.9227	+	17.2631i	−0.973289	+	0.843360i	0.0143830	+	0.999897i	$0.495422\pi$
$420$	6.76585	−	4.14383i	0.330140	−	0.202198i
$421$	−14.4693	−	9.29888i	−0.705192	−	0.453199i	0.138265	−	0.990395i	$-0.455847\pi$
$421$	−14.4693	−	9.29888i	−0.705192	−	0.453199i	−0.843458	+	0.537196i	$0.819484\pi$
$422$	−1.00522	+	3.29116i	−0.0489334	+	0.160211i
$423$	−15.1510	−	13.1284i	−0.736667	−	0.638325i
$424$	−11.4128	+	16.5505i	−0.554257	+	0.803762i
$425$	61.4480	−	8.83489i	2.98067	−	0.428555i
$426$	−7.40628	+	2.08780i	−0.358835	+	0.101154i
$427$	−6.09972	+	3.92005i	−0.295186	+	0.189705i
$428$	−26.1379	−	12.6282i	−1.26343	−	0.610405i
$429$	0.676043	−	1.48033i	0.0326397	−	0.0714709i
$430$	−6.22886	+	13.2573i	−0.300382	+	0.639325i
$431$	22.4035	−	6.57825i	1.07914	−	0.316863i	0.306603	−	0.951837i	$-0.400808\pi$
$431$	22.4035	−	6.57825i	1.07914	−	0.316863i	0.772533	+	0.634974i	$0.218989\pi$
$432$	16.3479	+	5.58005i	0.786540	+	0.268470i
$433$	1.25542	−	4.27557i	0.0603316	−	0.205471i	−0.923811	−	0.382848i	$-0.874943\pi$
$433$	1.25542	−	4.27557i	0.0603316	−	0.205471i	0.984143	+	0.177378i	$0.0567614\pi$
$434$	−13.7388	+	8.62056i	−0.659485	+	0.413800i
$435$	−21.9521	−	3.15624i	−1.05252	−	0.151330i
$436$	−16.0354	+	4.33338i	−0.767957	+	0.207531i
$437$	11.1201	−	12.6015i	0.531945	−	0.602809i
$438$	−1.25683	+	0.166830i	−0.0600538	+	0.00797144i
$439$	23.9275	+	3.44026i	1.14200	+	0.164195i	0.687247	−	0.726423i	$-0.258819\pi$
$439$	23.9275	+	3.44026i	1.14200	+	0.164195i	0.454752	+	0.890618i	$0.349728\pi$
$440$	−22.3509	+	24.1611i	−1.06554	+	1.15184i
$441$	−12.5611	−	3.68828i	−0.598149	−	0.175632i
$442$	−3.92257	−	3.47404i	−0.186578	−	0.165243i
$443$	−38.7090	+	11.3660i	−1.83912	+	0.540014i	−0.999992	−	0.00392070i	$-0.998752\pi$
$443$	−38.7090	+	11.3660i	−1.83912	+	0.540014i	−0.839127	+	0.543935i	$0.816934\pi$
$444$	8.15918	+	2.58903i	0.387218	+	0.122870i
$445$	−4.96736	−	2.26852i	−0.235475	−	0.107538i
$446$	−11.6952	−	7.69632i	−0.553783	−	0.364431i
$447$	9.46203	−	6.08088i	0.447539	−	0.287616i
$448$	7.67956	+	5.67249i	0.362825	+	0.268000i
$449$	−4.67127	−	32.4894i	−0.220451	−	1.53327i	−0.736339	−	0.676612i	$-0.763447\pi$
$449$	−4.67127	−	32.4894i	−0.220451	−	1.53327i	0.515889	−	0.856656i	$-0.327462\pi$
$450$	30.2545	−	25.6472i	1.42621	−	1.20902i
$451$	−5.73096	−	4.96591i	−0.269861	−	0.233835i
$452$	−12.3134	−	2.04359i	−0.579176	−	0.0961226i
$453$	10.4640	−	16.2824i	0.491643	−	0.765012i
$454$	9.34661	+	21.0672i	0.438658	+	0.988734i
$455$	−2.64679	+	2.29346i	−0.124084	+	0.107519i
$456$	0.881050	+	7.95526i	0.0412590	+	0.372539i
$457$	−19.3315	+	8.82840i	−0.904289	+	0.412975i	−0.812606	−	0.582813i	$-0.801952\pi$
$457$	−19.3315	+	8.82840i	−0.904289	+	0.412975i	−0.0916832	+	0.995788i	$0.529225\pi$
$458$	0.0993077	−	9.16691i	0.00464034	−	0.428342i
$459$		−	22.4442i		−	1.04761i
$460$	9.95570	+	38.2074i	0.464187	+	1.78143i
$461$		−	30.0597i		−	1.40002i	−0.714133	−	0.700010i	$-0.753179\pi$
$461$		−	30.0597i		−	1.40002i	0.714133	−	0.700010i	$-0.246821\pi$
$462$	3.85254	+	0.0417357i	0.179237	+	0.00194172i
$463$	−19.6764	+	8.98592i	−0.914441	+	0.417611i	−0.816344	−	0.577566i	$-0.804003\pi$
$463$	−19.6764	+	8.98592i	−0.914441	+	0.417611i	−0.0980965	+	0.995177i	$0.531275\pi$
$464$	−6.40255	−	25.9085i	−0.297231	−	1.20277i
$465$	24.1418	−	20.9190i	1.11955	−	0.970095i
$466$	5.12047	−	2.27173i	0.237201	−	0.105236i
$467$	0.587537	−	0.914225i	0.0271880	−	0.0423053i	−0.827394	−	0.561623i	$-0.810177\pi$
$467$	0.587537	−	0.914225i	0.0271880	−	0.0423053i	0.854582	+	0.519317i	$0.173814\pi$
$468$	−3.30250	−	0.548098i	−0.152658	−	0.0253358i
$469$	6.92193	+	5.99789i	0.319625	+	0.276957i
$470$	32.1419	+	37.9160i	1.48260	+	1.74893i
$471$	1.62258	+	11.2853i	0.0747645	+	0.519999i
$472$	−5.09982	−	8.53291i	−0.234738	−	0.392759i
$473$	−5.98382	+	3.84557i	−0.275136	+	0.176819i
$474$	−4.19186	+	6.36988i	−0.192539	+	0.292578i
$475$	38.0763	+	17.3889i	1.74706	+	0.797855i
$476$	3.75192	−	11.8240i	0.171969	−	0.541951i
$477$	16.0127	−	4.70175i	0.733170	−	0.215278i
$478$	13.2086	−	14.9140i	0.604146	−	0.682149i
$479$	−21.6583	−	6.35946i	−0.989595	−	0.290571i	−0.253415	−	0.967358i	$-0.581554\pi$
$479$	−21.6583	−	6.35946i	−0.989595	−	0.290571i	−0.736180	+	0.676786i	$0.763372\pi$
$480$	−16.6564	−	8.72585i	−0.760257	−	0.398279i
$481$	−3.74013	−	0.537749i	−0.170535	−	0.0245193i
$482$	−5.36173	−	40.3932i	−0.244220	−	1.83986i
$483$	2.53372	−	3.86534i	0.115288	−	0.175879i
$484$	5.80856	−	1.56969i	0.264026	−	0.0713497i
$485$	−14.9444	−	2.14868i	−0.678590	−	0.0975665i
$486$	−11.8967	−	18.9601i	−0.539645	−	0.860048i
$487$	5.25503	−	17.8970i	0.238128	−	0.810990i	−0.750534	−	0.660832i	$-0.770204\pi$
$487$	5.25503	−	17.8970i	0.238128	−	0.810990i	0.988662	−	0.150158i	$-0.0479782\pi$
$488$	15.3912	+	7.64278i	0.696728	+	0.345972i
$489$	−17.3339	+	5.08969i	−0.783866	+	0.230164i
$490$	29.3780	+	13.8030i	1.32716	+	0.623557i
$491$	−5.72312	+	12.5319i	−0.258281	+	0.565556i	−0.993702	−	0.112054i	$-0.964257\pi$
$491$	−5.72312	+	12.5319i	−0.258281	+	0.565556i	0.735421	+	0.677610i	$0.236984\pi$
$492$	1.88463	−	3.90083i	0.0849656	−	0.175863i
$493$	−29.1710	+	18.7471i	−1.31380	+	0.844326i
$494$	−0.958601	−	3.40054i	−0.0431295	−	0.152998i
$495$	27.0443	−	3.88838i	1.21555	−	0.174770i
$496$	34.2419	+	17.4683i	1.53750	+	0.784350i
$497$	6.07735	+	5.26605i	0.272606	+	0.236215i
$498$	−3.25216	−	0.993313i	−0.145733	−	0.0445114i
$499$	7.03231	+	4.51939i	0.314810	+	0.202316i	0.688498	−	0.725239i	$-0.258271\pi$
$499$	7.03231	+	4.51939i	0.314810	+	0.202316i	−0.373688	+	0.927554i	$0.621907\pi$
$500$	−48.7575	+	29.8621i	−2.18050	+	1.33548i
$501$	−6.34025	+	5.49386i	−0.283261	+	0.245447i
$502$	1.49760	−	9.67109i	0.0668410	−	0.431642i
$503$	2.78233	+	6.09245i	0.124058	+	0.271649i	0.961463	−	0.274933i	$-0.0886558\pi$
$503$	2.78233	+	6.09245i	0.124058	+	0.271649i	−0.837405	+	0.546582i	$0.815929\pi$
$504$	−1.98459	−	7.67296i	−0.0884008	−	0.341781i
$505$			34.6303i			1.54103i
$506$	−5.76606	+	18.2856i	−0.256333	+	0.812894i
$507$	10.0872			0.447990
$508$	−5.59071	+	0.680556i	−0.248047	+	0.0301948i
$509$	4.18464	−	1.91106i	0.185481	−	0.0847064i	−0.320510	−	0.947245i	$-0.603854\pi$
$509$	4.18464	−	1.91106i	0.185481	−	0.0847064i	0.505991	+	0.862539i	$0.331127\pi$
$510$	−3.73875	+	24.1439i	−0.165554	+	1.06911i
$511$	0.867663	+	1.00134i	0.0383832	+	0.0442965i
$512$	2.20258	−	22.5200i	0.0973413	−	0.995251i
$513$	8.18184	−	12.7312i	0.361237	−	0.562096i
$514$	−6.55590	+	21.4644i	−0.289168	+	0.946754i
$515$	31.8487	−	36.7553i	1.40342	−	1.61963i
$516$	−3.01272	−	2.72702i	−0.132627	−	0.120050i
$517$	3.43514	+	23.8919i	0.151077	+	1.05076i
$518$	−2.42715	−	8.61007i	−0.106643	−	0.378305i
$519$	5.37935	+	8.37043i	0.236127	+	0.367421i
$520$	7.88386	+	2.59600i	0.345730	+	0.113842i
$521$	−3.65148	−	1.66758i	−0.159974	−	0.0730579i	0.333819	−	0.942637i	$-0.391663\pi$
$521$	−3.65148	−	1.66758i	−0.159974	−	0.0730579i	−0.493793	+	0.869579i	$0.664390\pi$
$522$	−9.42089	+	20.0512i	−0.412341	+	0.877615i
$523$	−8.70610	−	29.6503i	−0.380691	−	1.29652i	−0.897727	−	0.440552i	$-0.854783\pi$
$523$	−8.70610	−	29.6503i	−0.380691	−	1.29652i	0.517036	−	0.855964i	$-0.327035\pi$
$524$	−30.9751	−	20.8683i	−1.35316	−	0.911637i
$525$	11.0450	+	3.24310i	0.482042	+	0.141540i
$526$	11.4577	+	18.2605i	0.499580	+	0.796196i
$527$	7.10798	−	49.4371i	0.309629	−	2.15351i
$528$	−4.59926	−	7.88821i	−0.200157	−	0.343290i
$529$	14.7454	+	17.6515i	0.641103	+	0.767455i
$530$	−41.0184	+	5.44471i	−1.78172	+	0.236503i
$531$	−1.17438	+	8.16801i	−0.0509638	+	0.354461i
$532$	6.43856	−	5.33927i	0.279147	−	0.231487i
$533$	−0.538766	+	1.83487i	−0.0233366	+	0.0794770i
$534$	1.00444	−	1.13412i	0.0434663	−	0.0490784i
$535$	−16.8326	−	57.3267i	−0.727739	−	2.47845i
$536$	3.78574	−	21.3743i	0.163519	−	0.923230i
$537$	−1.58704	+	3.47514i	−0.0684860	+	0.149963i
$538$	−21.1464	−	13.9159i	−0.911684	−	0.599957i
$539$	8.52170	+	13.2600i	0.367056	+	0.571150i
$540$	14.0654	+	32.6530i	0.605277	+	1.40516i
$541$	−32.5148	+	4.67492i	−1.39792	+	0.200991i	−0.799728	−	0.600362i	$-0.795023\pi$
$541$	−32.5148	+	4.67492i	−1.39792	+	0.200991i	−0.598192	+	0.801353i	$0.704114\pi$
$542$	4.01732	+	4.73900i	0.172559	+	0.203558i
$543$	−3.85466	+	4.44851i	−0.165419	+	0.190904i
$544$	−28.6161	+	6.74359i	−1.22690	+	0.289129i
$545$	−28.7608	−	18.4834i	−1.23198	−	0.791744i
$546$	−0.394019	−	0.888117i	−0.0168625	−	0.0380079i
$547$	−0.323566	−	0.373415i	−0.0138347	−	0.0159661i	0.748790	−	0.662807i	$-0.230635\pi$
$547$	−0.323566	−	0.373415i	−0.0138347	−	0.0159661i	−0.762625	+	0.646841i	$0.776090\pi$
$548$	0.346439	−	15.9877i	0.0147991	−	0.682961i
$549$	−5.92591	−	12.9759i	−0.252912	−	0.553799i
$550$	−47.7512	−	0.517302i	−2.03612	−	0.0220578i
$551$	−23.3810			−0.996062
$552$	−10.9442	−	0.454778i	−0.465814	−	0.0193567i
$553$	7.96886			0.338870
$554$	35.3920	+	0.383411i	1.50366	+	0.0162896i
$555$	7.31897	+	16.0263i	0.310673	+	0.680279i
$556$	−23.2715	−	0.504273i	−0.986932	−	0.0213859i
$557$	11.5346	+	13.3116i	0.488735	+	0.564031i	0.945527	−	0.325543i	$-0.105547\pi$
$557$	11.5346	+	13.3116i	0.488735	+	0.564031i	−0.456792	+	0.889574i	$0.651002\pi$
$558$	−12.9406	−	29.1681i	−0.547820	−	1.23478i
$559$	1.50901	+	0.969781i	0.0638243	+	0.0410174i
$560$	1.95138	+	19.5534i	0.0824608	+	0.826280i
$561$	−7.76932	+	8.96628i	−0.328021	+	0.378557i
$562$	7.45368	+	8.79268i	0.314415	+	0.370897i
$563$	22.7721	−	3.27413i	0.959728	−	0.137988i	0.355392	−	0.934718i	$-0.384348\pi$
$563$	22.7721	−	3.27413i	0.959728	−	0.137988i	0.604336	+	0.796730i	$0.293438\pi$
$564$	−12.6648	+	5.45538i	−0.533283	+	0.229713i
$565$	−13.8892	−	21.6120i	−0.584323	−	0.909225i
$566$	−26.7920	−	17.6312i	−1.12615	−	0.741094i
$567$	−1.76322	+	3.86090i	−0.0740481	+	0.162143i
$568$	3.32382	−	18.7663i	0.139464	−	0.787417i
$569$	8.33927	+	28.4010i	0.349601	+	1.19063i	0.927281	+	0.374367i	$0.122140\pi$
$569$	8.33927	+	28.4010i	0.349601	+	1.19063i	−0.577680	+	0.816263i	$0.696042\pi$
$570$	−10.9222	+	12.3324i	−0.457480	+	0.516546i
$571$	0.249652	−	0.850236i	0.0104476	−	0.0355813i	−0.954104	−	0.299475i	$-0.903189\pi$
$571$	0.249652	−	0.850236i	0.0104476	−	0.0355813i	0.964552	+	0.263893i	$0.0850067\pi$
$572$	2.57290	+	3.10262i	0.107578	+	0.129727i
$573$	2.60680	−	18.1307i	0.108901	−	0.757422i
$574$	−4.48799	+	0.595728i	−0.187325	+	0.0248652i
$575$	−31.4048	+	47.9098i	−1.30967	+	1.99798i
$576$	−13.1966	+	13.3667i	−0.549857	+	0.556944i
$577$	−1.20410	+	8.37468i	−0.0501272	+	0.348642i	0.949287	+	0.314412i	$0.101807\pi$
$577$	−1.20410	+	8.37468i	−0.0501272	+	0.348642i	−0.999414	+	0.0342308i	$0.989102\pi$
$578$	7.52483	+	11.9925i	0.312991	+	0.498824i
$579$	4.15584	+	1.22026i	0.172711	+	0.0507124i
$580$	30.6910	−	45.5551i	1.27437	−	1.89157i
$581$	1.00117	+	3.40968i	0.0415356	+	0.141457i
$582$	1.78117	−	3.79099i	0.0738317	−	0.157141i
$583$	−18.2776	−	8.34709i	−0.756980	−	0.345701i
$584$	0.982119	−	2.98263i	0.0406404	−	0.123422i
$585$	−3.72512	−	5.79641i	−0.154015	−	0.239652i
$586$	−3.41761	−	12.1236i	−0.141180	−	0.500822i
$587$	−0.522558	−	3.63447i	−0.0215683	−	0.150011i	0.976191	−	0.216911i	$-0.0695981\pi$
$587$	−0.522558	−	3.63447i	−0.0215683	−	0.150011i	−0.997760	+	0.0669003i	$0.978689\pi$
$588$	−6.04303	+	6.67612i	−0.249210	+	0.275319i
$589$	22.0538	−	25.4514i	0.908710	−	1.04871i
$590$	5.97660	−	19.5677i	0.246053	−	0.805591i
$591$	−3.73778	+	5.81610i	−0.153752	+	0.239242i
$592$	−14.5649	+	15.4064i	−0.598613	+	0.633197i
$593$	−9.89913	−	11.4242i	−0.406509	−	0.469136i	0.515171	−	0.857087i	$-0.327728\pi$
$593$	−9.89913	−	11.4242i	−0.406509	−	0.469136i	−0.921680	+	0.387951i	$0.873183\pi$
$594$	−2.64203	+	17.0615i	−0.108404	+	0.700043i
$595$	23.2247	−	10.6064i	0.952120	−	0.434819i
$596$	3.36622	+	27.6532i	0.137886	+	1.13272i
$597$	−1.29215			−0.0528844
$598$	4.79863	−	0.592909i	0.196231	−	0.0242459i
$599$			22.1795i			0.906230i	0.891452	+	0.453115i	$0.149687\pi$
$599$			22.1795i			0.906230i	−0.891452	+	0.453115i	$0.850313\pi$
$600$	−6.83156	−	26.4126i	−0.278897	−	1.07829i
$601$	1.58629	+	3.47349i	0.0647062	+	0.141687i	0.939222	−	0.343310i	$-0.111548\pi$
$601$	1.58629	+	3.47349i	0.0647062	+	0.141687i	−0.874516	+	0.484997i	$0.838821\pi$
$602$	−0.649859	+	4.19663i	−0.0264863	+	0.171042i
$603$	−13.6181	+	11.8002i	−0.554573	+	0.480540i
$604$	25.0371	+	40.8793i	1.01874	+	1.66336i
$605$	10.4181	+	6.69533i	0.423557	+	0.272204i
$606$	−9.18827	−	2.80639i	−0.373248	−	0.114002i
$607$	−12.3682	−	10.7171i	−0.502011	−	0.434995i	0.366682	−	0.930346i	$-0.380494\pi$
$607$	−12.3682	−	10.7171i	−0.502011	−	0.434995i	−0.868693	+	0.495352i	$0.835039\pi$
$608$	−18.6904	−	6.60652i	−0.757996	−	0.267930i
$609$	−6.36434	+	0.915054i	−0.257896	+	0.0370799i
$610$	9.59637	+	34.0422i	0.388546	+	1.37833i
$611$	5.12076	−	3.29091i	0.207164	−	0.133136i
$612$	21.9751	+	10.6169i	0.888290	+	0.429164i
$613$	12.9868	−	28.4372i	0.524533	−	1.14857i	−0.443162	−	0.896442i	$-0.646143\pi$
$613$	12.9868	−	28.4372i	0.524533	−	1.14857i	0.967695	−	0.252125i	$-0.0811294\pi$
$614$	8.15096	+	3.82967i	0.328946	+	0.154553i
$615$	8.55545	−	2.51211i	0.344989	−	0.101298i
$616$	−4.24398	+	8.54664i	−0.170995	+	0.344354i
$617$	−5.36584	+	18.2744i	−0.216021	+	0.735699i	0.778169	+	0.628055i	$0.216149\pi$
$617$	−5.36584	+	18.2744i	−0.216021	+	0.735699i	−0.994190	+	0.107644i	$0.965669\pi$
$618$	7.17112	+	11.4288i	0.288465	+	0.459735i
$619$	−28.2982	−	4.06867i	−1.13740	−	0.163534i	−0.452220	−	0.891906i	$-0.649368\pi$
$619$	−28.2982	−	4.06867i	−1.13740	−	0.163534i	−0.685181	+	0.728373i	$0.740277\pi$
$620$	20.6402	+	76.3780i	0.828932	+	3.06741i
$621$	15.5291	+	13.7035i	0.623160	+	0.549903i
$622$	3.71646	+	27.9984i	0.149016	+	1.12263i
$623$	−1.56709	−	0.225313i	−0.0627840	−	0.00902698i
$624$	−1.32768	+	1.88141i	−0.0531496	+	0.0753165i
$625$	−55.6072	−	16.3277i	−2.22429	−	0.653110i
$626$	−20.8386	+	23.5291i	−0.832878	+	0.940412i
$627$	−7.67563	+	2.25377i	−0.306535	+	0.0900068i
$628$	−26.9157	−	8.54074i	−1.07405	−	0.340813i
$629$	25.0575	+	11.4434i	0.999108	+	0.456277i
$630$	8.96719	−	13.6264i	0.357261	−	0.542888i
$631$	−1.52426	+	0.979580i	−0.0606797	+	0.0389965i	−0.570629	−	0.821208i	$-0.693301\pi$
$631$	−1.52426	+	0.979580i	−0.0606797	+	0.0389965i	0.509949	+	0.860204i	$0.329664\pi$
$632$	−9.68904	−	16.2115i	−0.385409	−	0.644860i
$633$	−0.279640	−	1.94494i	−0.0111147	−	0.0773043i
$634$	12.4234	+	14.6552i	0.493396	+	0.582031i
$635$	−8.76047	−	7.59099i	−0.347649	−	0.301239i
$636$	1.87945	−	11.3244i	0.0745250	−	0.449042i
$637$	2.14902	−	3.34394i	0.0851472	−	0.132492i
$638$	24.3819	−	10.8172i	0.965288	−	0.428256i
$639$	−11.9565	+	10.3604i	−0.472992	+	0.409850i
$640$	37.4060	−	27.7440i	1.47860	−	1.09668i
$641$	39.5086	−	18.0430i	1.56049	−	0.712654i	0.566704	−	0.823922i	$-0.308218\pi$
$641$	39.5086	−	18.0430i	1.56049	−	0.712654i	0.993790	+	0.111268i	$0.0354911\pi$
$642$	16.5743	+	0.179554i	0.654134	+	0.00708641i
$643$		−	39.4803i		−	1.55695i	−0.627675	−	0.778476i	$-0.715993\pi$
$643$		−	39.4803i		−	1.55695i	0.627675	−	0.778476i	$-0.284007\pi$
$644$	5.89019	+	9.81518i	0.232106	+	0.386772i
$645$		−	8.36378i		−	0.329324i
$646$	−0.279016	+	25.7555i	−0.0109777	+	1.01334i
$647$	27.6406	−	12.6230i	1.08666	−	0.496263i	0.210165	−	0.977666i	$-0.432600\pi$
$647$	27.6406	−	12.6230i	1.08666	−	0.496263i	0.876499	+	0.481403i	$0.159873\pi$
$648$	9.99830	−	1.10732i	0.392770	−	0.0434995i
$649$	7.50875	−	6.50637i	0.294744	−	0.255397i
$650$	4.88376	+	11.0080i	0.191557	+	0.431768i
$651$	5.00699	−	7.79103i	0.196240	−	0.305355i
$652$	7.32574	−	44.1404i	0.286898	−	1.72867i
$653$	23.5796	+	20.4319i	0.922742	+	0.799561i	0.980041	−	0.198796i	$-0.0637032\pi$
$653$	23.5796	+	20.4319i	0.922742	+	0.799561i	−0.0572985	+	0.998357i	$0.518249\pi$
$654$	7.23484	−	6.13307i	0.282904	−	0.239822i
$655$	−10.9400	−	76.0894i	−0.427461	−	2.97306i
$656$	6.66871	+	8.40586i	0.260369	+	0.328194i
$657$	−2.19290	+	1.40929i	−0.0855532	+	0.0549817i
$658$	12.0380	+	7.92194i	0.469292	+	0.308829i
$659$	1.13636	+	0.518957i	0.0442662	+	0.0202157i	0.437425	−	0.899255i	$-0.355890\pi$
$659$	1.13636	+	0.518957i	0.0442662	+	0.0202157i	−0.393159	+	0.919471i	$0.628618\pi$
$660$	5.68420	−	17.9135i	0.221257	−	0.697281i
$661$	−31.4962	+	9.24813i	−1.22506	+	0.359711i	−0.829384	−	0.558679i	$-0.811308\pi$
$661$	−31.4962	+	9.24813i	−1.22506	+	0.359711i	−0.395678	+	0.918389i	$0.629490\pi$
$662$	−10.4433	−	9.24917i	−0.405892	−	0.359479i
$663$	2.87071	+	0.842917i	0.111489	+	0.0327362i
$664$	5.71922	−	6.18245i	0.221949	−	0.239926i
$665$	17.0404	+	2.45004i	0.660797	+	0.0950083i
$666$	17.4465	−	2.31582i	0.676038	−	0.0897361i
$667$	4.83961	−	31.6295i	0.187390	−	1.22470i
$668$	−5.42065	−	20.0588i	−0.209731	−	0.776098i
$669$	7.91280	+	1.13769i	0.305926	+	0.0439856i
$670$	37.8445	−	23.7459i	1.46206	−	0.917383i
$671$	−4.83883	+	16.4795i	−0.186801	+	0.636186i
$672$	−5.34612	−	1.06682i	−0.206231	−	0.0411536i
$673$	39.5244	−	11.6054i	1.52355	−	0.447356i	0.590484	−	0.807050i	$-0.298937\pi$
$673$	39.5244	−	11.6054i	1.52355	−	0.447356i	0.933070	+	0.359694i	$0.117119\pi$
$674$	15.4083	−	32.7945i	0.593504	−	1.26320i
$675$	−21.4287	+	46.9223i	−0.824791	+	1.80604i
$676$	−10.8684	+	22.4957i	−0.418017	+	0.865218i
$677$	−19.5543	+	12.5668i	−0.751533	+	0.482981i	−0.859476	−	0.511176i	$-0.829210\pi$
$677$	−19.5543	+	12.5668i	−0.751533	+	0.482981i	0.107943	+	0.994157i	$0.465574\pi$
$678$	6.85975	−	1.93374i	0.263447	−	0.0742649i
$679$	−4.33266	+	0.622943i	−0.166272	+	0.0239063i
$680$	−49.8153	−	34.3515i	−1.91033	−	1.31732i
$681$	−9.94569	−	8.61799i	−0.381120	−	0.330242i
$682$	−11.2228	+	36.7441i	−0.429744	+	1.40701i
$683$	22.4017	+	14.3967i	0.857176	+	0.550874i	0.893805	−	0.448455i	$-0.148026\pi$
$683$	22.4017	+	14.3967i	0.857176	+	0.550874i	−0.0366289	+	0.999329i	$0.511662\pi$
$684$	8.59477	+	14.0331i	0.328629	+	0.536570i
$685$	24.8745	−	21.5539i	0.950406	−	0.823531i
$686$	20.9748	+	3.24801i	0.800822	+	0.124009i
$687$	2.17452	+	4.76154i	0.0829632	+	0.181664i
$688$	9.32759	−	3.78048i	0.355611	−	0.144129i
$689$			5.06718i			0.193044i
$690$	−14.4223	−	17.3281i	−0.549048	−	0.659669i
$691$	−33.1676			−1.26176			−0.630878	−	0.775882i	$-0.717305\pi$
$691$	−33.1676			−1.26176			−0.630878	+	0.775882i	$0.717305\pi$
$692$	−24.4630	+	2.97787i	−0.929942	+	0.113202i
$693$	7.20544	−	3.29061i	0.273712	−	0.125000i
$694$	−6.98607	−	1.08181i	−0.265188	−	0.0410650i
$695$	−31.3736	−	36.2071i	−1.19007	−	1.37341i
$696$	9.59972	+	11.8348i	0.363876	+	0.448596i
$697$	7.53727	−	11.7282i	0.285495	−	0.444238i
$698$	−33.3973	−	10.2006i	−1.26411	−	0.386097i
$699$	−2.09463	+	2.41734i	−0.0792264	+	0.0914321i
$700$	−19.1328	+	21.1373i	−0.723152	+	0.798914i
$701$	3.75112	+	26.0896i	0.141678	+	0.985391i	0.929325	+	0.369264i	$0.120390\pi$
$701$	3.75112	+	26.0896i	0.141678	+	0.985391i	−0.787647	+	0.616127i	$0.788701\pi$
$702$	4.19057	−	1.18131i	0.158163	−	0.0445855i
$703$	10.0420	+	15.6256i	0.378740	+	0.589331i
$704$	22.5470	−	1.75777i	0.849773	−	0.0662483i
$705$	−25.8173	−	11.7904i	−0.972336	−	0.444051i
$706$	30.2116	+	14.1947i	1.13703	+	0.534225i
$707$	2.82859	+	9.63330i	0.106380	+	0.362297i
$708$	4.70747	+	3.17148i	0.176917	+	0.119191i
$709$	13.9454	+	4.09473i	0.523729	+	0.153781i	0.532902	−	0.846177i	$-0.321102\pi$
$709$	13.9454	+	4.09473i	0.523729	+	0.153781i	−0.00917268	+	0.999958i	$0.502920\pi$
$710$	33.2269	−	20.8485i	1.24698	−	0.782431i
$711$	−2.23119	+	15.5182i	−0.0836760	+	0.581980i
$712$	1.44700	+	3.46197i	0.0542285	+	0.129743i
$713$	29.8655	+	35.1023i	1.11847	+	1.31459i
$714$	0.932035	+	7.02160i	0.0348805	+	0.262777i
$715$	−1.18063	+	8.21144i	−0.0441530	+	0.307091i
$716$	−6.04000	−	7.28355i	−0.225725	−	0.272199i
$717$	−3.20484	+	10.9147i	−0.119687	+	0.407616i
$718$	11.5431	+	10.2231i	0.430783	+	0.381524i
$719$	7.73922	+	26.3574i	0.288624	+	0.982964i	0.968371	+	0.249516i	$0.0802717\pi$
$719$	7.73922	+	26.3574i	0.288624	+	0.982964i	−0.679746	+	0.733447i	$0.737910\pi$
$720$	−38.6238	−	1.67467i	−1.43943	−	0.0624114i
$721$	5.85735	−	12.8258i	0.218139	−	0.477658i
$722$	5.22387	−	7.93809i	0.194412	−	0.295425i
$723$	12.5789	+	19.5732i	0.467815	+	0.727934i
$724$	−5.76750	−	13.3893i	−0.214347	−	0.497611i
$725$	78.8842	−	11.3418i	2.92969	−	0.421225i
$726$	−2.62070	+	2.22161i	−0.0972633	+	0.0824515i
$727$	2.95158	−	3.40630i	0.109468	−	0.126333i	−0.698371	−	0.715736i	$-0.746092\pi$
$727$	2.95158	−	3.40630i	0.109468	−	0.126333i	0.807839	+	0.589403i	$0.200637\pi$
$728$	2.40513	+	0.0781909i	0.0891402	+	0.00289795i
$729$	1.77606	+	1.14140i	0.0657799	+	0.0422742i
$730$	5.90778	−	2.62103i	0.218657	−	0.0970085i
$731$	−8.56360	−	9.88292i	−0.316736	−	0.365533i
$732$	−9.80989	−	0.212571i	−0.362584	−	0.00785687i
$733$	−5.09019	−	11.1460i	−0.188010	−	0.411686i	0.792030	−	0.610482i	$-0.209024\pi$
$733$	−5.09019	−	11.1460i	−0.188010	−	0.411686i	−0.980041	+	0.198796i	$0.936297\pi$
$734$	0.379643	−	35.0441i	0.0140129	−	1.29350i
$735$	−18.5340			−0.683637
$736$	12.8059	−	23.9167i	0.472033	−	0.881581i
$737$	21.6955			0.799164
$738$	0.0964869	−	8.90653i	0.00355173	−	0.327854i
$739$	−9.60690	−	21.0362i	−0.353395	−	0.773828i	−0.999940	−	0.0109519i	$-0.996514\pi$
$739$	−9.60690	−	21.0362i	−0.353395	−	0.773828i	0.646545	−	0.762876i	$-0.276213\pi$
$740$	−43.6262	−	0.945341i	−1.60373	−	0.0347514i
$741$	1.32110	+	1.52463i	0.0485317	+	0.0560086i
$742$	−10.9656	+	4.86494i	−0.402559	+	0.178598i
$743$	18.3382	+	11.7852i	0.672761	+	0.432358i	0.831920	−	0.554895i	$-0.187242\pi$
$743$	18.3382	+	11.7852i	0.672761	+	0.432358i	−0.159159	+	0.987253i	$0.550878\pi$
$744$	−21.9376	−	0.713191i	−0.804271	−	0.0261468i
$745$	−37.5471	+	43.3317i	−1.37562	+	1.58755i
$746$	15.8713	−	13.4543i	0.581088	−	0.492596i
$747$	−6.92019	+	0.994974i	−0.253197	+	0.0364042i
$748$	−11.6248	−	26.9871i	−0.425044	−	0.986747i
$749$	−9.36484	−	14.5720i	−0.342184	−	0.532449i
$750$	17.9468	−	27.2716i	0.655323	−	0.995817i
$751$	−5.50378	+	12.0516i	−0.200836	+	0.439769i	−0.983074	−	0.183211i	$-0.941351\pi$
$751$	−5.50378	+	12.0516i	−0.200836	+	0.439769i	0.782238	+	0.622980i	$0.214078\pi$
$752$	1.47947	−	34.1217i	0.0539506	−	1.24429i
$753$	1.57431	+	5.36162i	0.0573712	+	0.195388i
$754$	−5.03563	−	4.45981i	−0.183387	−	0.162417i
$755$	−27.7970	+	94.6679i	−1.01164	+	3.44532i
$756$	6.57971	+	7.93438i	0.239302	+	0.288571i
$757$	−5.28664	+	36.7694i	−0.192146	+	1.33641i	0.634167	+	0.773196i	$0.281343\pi$
$757$	−5.28664	+	36.7694i	−0.192146	+	1.33641i	−0.826313	+	0.563211i	$0.809566\pi$
$758$	3.77478	+	28.4377i	0.137106	+	1.03291i
$759$	−1.46010	−	10.8500i	−0.0529982	−	0.393830i
$760$	−15.7345	−	37.6452i	−0.570751	−	1.36553i
$761$	1.05725	−	7.35331i	0.0383252	−	0.266557i	−0.961645	−	0.274298i	$-0.911555\pi$
$761$	1.05725	−	7.35331i	0.0383252	−	0.266557i	0.999970	+	0.00774013i	$0.00246378\pi$
$762$	2.72401	−	1.70920i	0.0986804	−	0.0619179i
$763$	−9.51026	−	2.79246i	−0.344294	−	0.101094i
$764$	37.6248	+	25.3483i	1.36122	+	0.917070i
$765$	14.1518	+	48.1966i	0.511659	+	1.74255i
$766$	26.2723	+	12.3438i	0.949256	+	0.446001i
$767$	−2.27913	−	1.04084i	−0.0822946	−	0.0375827i
$768$	4.32985	+	12.1730i	0.156240	+	0.439257i
$769$	24.8001	+	38.5898i	0.894316	+	1.39158i	0.920003	+	0.391912i	$0.128186\pi$
$769$	24.8001	+	38.5898i	0.894316	+	1.39158i	−0.0256872	+	0.999670i	$0.508177\pi$
$770$	−18.9034	+	5.32880i	−0.681230	+	0.192036i
$771$	−1.82377	−	12.6846i	−0.0656814	−	0.456824i
$772$	−7.19901	+	7.95321i	−0.259098	+	0.286242i
$773$	19.0673	−	22.0049i	0.685804	−	0.791460i	−0.300957	−	0.953638i	$-0.597306\pi$
$773$	19.0673	−	22.0049i	0.685804	−	0.791460i	0.986762	+	0.162177i	$0.0518517\pi$
$774$	−7.99040	−	2.44052i	−0.287209	−	0.0877226i
$775$	−62.0603	+	96.5677i	−2.22927	+	3.46882i
$776$	6.53521	+	8.05678i	0.234601	+	0.289221i
$777$	3.34497	+	3.86031i	0.120000	+	0.138488i
$778$	18.3820	+	2.84650i	0.659026	+	0.102052i
$779$	8.55085	−	3.90504i	0.306366	−	0.139913i
$780$	−4.70469	+	0.572702i	−0.168455	+	0.0205060i
$781$	19.0483			0.681602
$782$	−34.7839	−	5.70855i	−1.24387	−	0.204137i
$783$		−	28.8129i		−	1.02969i
$784$	−8.37747	−	20.6698i	−0.299196	−	0.738206i
$785$	−24.1440	−	52.8679i	−0.861735	−	1.88694i
$786$	21.0749	+	3.26351i	0.751718	+	0.116406i
$787$	1.50866	−	1.30726i	0.0537778	−	0.0465988i	−0.627557	−	0.778570i	$-0.715945\pi$
$787$	1.50866	−	1.30726i	0.0537778	−	0.0465988i	0.681335	+	0.731972i	$0.261400\pi$
$788$	−8.94329	−	14.6022i	−0.318592	−	0.520181i
$789$	−10.3552	−	6.65488i	−0.368655	−	0.236920i
$790$	11.3548	−	37.1764i	0.403987	−	1.32268i
$791$	−5.62889	−	4.87746i	−0.200140	−	0.173423i
$792$	−15.4551	−	10.6575i	−0.549174	−	0.378698i
$793$	4.28720	−	0.616406i	0.152243	−	0.0218892i
$794$	−5.92171	+	1.66931i	−0.210154	+	0.0592416i
$795$	19.8761	−	12.7736i	0.704932	−	0.453033i
$796$	1.39223	−	2.88165i	0.0493461	−	0.102137i
$797$	−7.95369	+	17.4161i	−0.281734	+	0.616912i	−0.996604	−	0.0823461i	$-0.973759\pi$
$797$	−7.95369	+	17.4161i	−0.281734	+	0.616912i	0.714870	+	0.699258i	$0.246486\pi$
$798$	−2.03098	+	4.32268i	−0.0718959	+	0.153021i
$799$	−42.5786	+	12.5022i	−1.50632	+	0.442296i
$800$	66.2637	+	13.2230i	2.34278	+	0.467503i
$801$	0.877532	−	2.98860i	0.0310061	−	0.105597i
$802$	−33.7200	+	21.1580i	−1.19070	+	0.747113i
$803$	3.10656	+	0.446656i	0.109628	+	0.0157621i
$804$	3.23350	+	11.9654i	0.114037	+	0.421987i
$805$	−6.84155	+	22.5449i	−0.241133	+	0.794603i
$806$	9.60453	−	1.27489i	0.338305	−	0.0449061i
$807$	14.3073	+	2.05708i	0.503641	+	0.0724127i
$808$	16.1584	−	17.4672i	0.568451	−	0.614492i
$809$	−17.8751	−	5.24860i	−0.628455	−	0.184531i	−0.0480316	−	0.998846i	$-0.515295\pi$
$809$	−17.8751	−	5.24860i	−0.628455	−	0.184531i	−0.580424	+	0.814315i	$0.697113\pi$
$810$	15.4995	+	13.7272i	0.544598	+	0.482324i
$811$	33.9651	−	9.97305i	1.19268	−	0.350201i	0.375628	−	0.926771i	$-0.377427\pi$
$811$	33.9651	−	9.97305i	1.19268	−	0.350201i	0.817048	+	0.576569i	$0.195609\pi$
$812$	4.81655	−	15.1791i	0.169028	−	0.532682i
$813$	−3.22683	−	1.47364i	−0.113170	−	0.0516829i
$814$	−17.7010	−	11.6486i	−0.620421	−	0.408284i
$815$	77.4733	−	49.7891i	2.71377	−	1.74403i
$816$	13.1512	−	10.4334i	0.460385	−	0.365242i
$817$	−1.25486	−	8.72774i	−0.0439020	−	0.305345i
$818$	4.66735	−	3.95658i	0.163190	−	0.138339i
$819$	−1.50968	−	1.30815i	−0.0527527	−	0.0457104i
$820$	−3.61575	+	21.7863i	−0.126267	+	0.760809i
$821$	1.49445	−	2.32541i	0.0521567	−	0.0811574i	−0.814196	−	0.580590i	$-0.802822\pi$
$821$	1.49445	−	2.32541i	0.0521567	−	0.0811574i	0.866353	+	0.499433i	$0.166458\pi$
$822$	3.70298	+	8.34650i	0.129156	+	0.291118i
$823$	7.36039	−	6.37781i	0.256567	−	0.222316i	−0.517074	−	0.855941i	$-0.672979\pi$
$823$	7.36039	−	6.37781i	0.256567	−	0.222316i	0.773641	+	0.633624i	$0.218433\pi$
$824$	−33.2140	+	3.67848i	−1.15707	+	0.128146i
$825$	24.8033	−	11.3273i	0.863539	−	0.394365i
$826$	0.0642568	−	5.93143i	0.00223578	−	0.206381i
$827$		−	7.74380i		−	0.269278i	−0.990895	−	0.134639i	$-0.957012\pi$
$827$		−	7.74380i		−	0.269278i	0.990895	−	0.134639i	$-0.0429875\pi$
$828$	−20.7629	+	8.72220i	−0.721560	+	0.303117i
$829$		−	6.21644i		−	0.215906i	−0.994156	−	0.107953i	$-0.965570\pi$
$829$		−	6.21644i		−	0.215906i	0.994156	−	0.107953i	$-0.0344296\pi$
$830$	17.3334	+	0.187778i	0.601653	+	0.00651787i
$831$	−18.3835	+	8.39548i	−0.637718	+	0.291236i
$832$	−2.76525	−	4.98798i	−0.0958677	−	0.172927i
$833$	−21.9004	+	18.9768i	−0.758803	+	0.657506i
$834$	12.1491	−	5.39002i	0.420688	−	0.186641i
$835$	23.1211	−	35.9771i	0.800137	−	1.24504i
$836$	3.24391	−	19.5458i	0.112193	−	0.676006i
$837$	31.3644	+	27.1774i	1.08411	+	0.939388i
$838$	24.1071	+	28.4378i	0.832767	+	0.982368i
$839$	7.53767	+	52.4256i	0.260229	+	1.80993i	0.531091	+	0.847315i	$0.321782\pi$
$839$	7.53767	+	52.4256i	0.260229	+	1.80993i	−0.270862	+	0.962618i	$0.587309\pi$
$840$	−5.75627	−	9.63128i	−0.198610	−	0.332311i
$841$	−13.0521	+	8.38808i	−0.450073	+	0.289244i
$842$	−13.3715	+	20.3191i	−0.460812	+	0.700241i
$843$	−5.98701	−	2.73418i	−0.206204	−	0.0941700i
$844$	4.63872	+	1.47193i	0.159671	+	0.0506661i
$845$	−49.3383	+	14.4870i	−1.69729	+	0.498369i
$846$	−18.7974	+	21.2244i	−0.646268	+	0.729709i
$847$	3.44493	+	1.01152i	0.118369	+	0.0347564i
$848$	23.2297	+	16.3928i	0.797711	+	0.562931i
$849$	18.1271	+	2.60628i	0.622120	+	0.0894474i
$850$	−11.5523	−	87.0309i	−0.396241	−	2.98513i
$851$	−23.2167	+	10.3503i	−0.795859	+	0.354804i
$852$	2.83897	+	10.5054i	0.0972614	+	0.359910i
$853$	−6.99405	−	1.00559i	−0.239472	−	0.0344308i	0.0215339	−	0.999768i	$-0.493145\pi$
$853$	−6.99405	−	1.00559i	−0.239472	−	0.0344308i	−0.261006	+	0.965337i	$0.584054\pi$
$854$	5.45002	+	8.68586i	0.186496	+	0.297224i
$855$	−9.54221	+	32.4978i	−0.326337	+	1.11140i
$856$	−18.2583	+	36.7690i	−0.624055	+	1.25674i
$857$	−17.2505	+	5.06521i	−0.589267	+	0.173024i	−0.562754	−	0.826624i	$-0.690258\pi$
$857$	−17.2505	+	5.06521i	−0.589267	+	0.173024i	−0.0265123	+	0.999648i	$0.508440\pi$
$858$	−2.08302	−	0.978691i	−0.0711131	−	0.0334120i
$859$	3.71945	−	8.14446i	0.126906	−	0.277885i	−0.835505	−	0.549483i	$-0.814825\pi$
$859$	3.71945	−	8.14446i	0.126906	−	0.277885i	0.962411	+	0.271598i	$0.0875520\pi$
$860$	18.6522	+	9.01151i	0.636034	+	0.307290i
$861$	2.17472	−	1.39761i	0.0741144	−	0.0476304i
$862$	−8.95929	−	31.7822i	−0.305155	−	1.08251i
$863$	−7.61226	+	1.09448i	−0.259124	+	0.0372564i	−0.270653	−	0.962677i	$-0.587239\pi$
$863$	−7.61226	+	1.09448i	−0.259124	+	0.0372564i	0.0115283	+	0.999934i	$0.496330\pi$
$864$	8.14136	−	23.0326i	0.276975	−	0.783586i
$865$	−38.3327	−	33.2155i	−1.30335	−	1.12936i
$866$	−6.02698	−	1.84083i	−0.204805	−	0.0625539i
$867$	−6.80074	−	4.37057i	−0.230965	−	0.148432i
$868$	11.9801	+	19.5606i	0.406632	+	0.663929i
$869$	14.2657	−	12.3613i	0.483932	−	0.419329i
$870$	−4.79964	+	30.9948i	−0.162723	+	1.05082i
$871$	−2.27282	−	4.97679i	−0.0770117	−	0.168632i
$872$	5.88230	+	22.7425i	0.199200	+	0.770160i
$873$		−	8.61167i		−	0.291461i
$874$	−17.6497	−	15.9183i	−0.597011	−	0.538444i
$875$	−34.1173			−1.15338
$876$	0.216665	+	1.77988i	0.00732043	+	0.0601366i
$877$	−39.7525	+	18.1544i	−1.34235	+	0.613030i	−0.951563	−	0.307453i	$-0.900523\pi$
$877$	−39.7525	+	18.1544i	−1.34235	+	0.613030i	−0.390784	+	0.920482i	$0.627796\pi$
$878$	5.23154	−	33.7840i	0.176556	−	1.14015i
$879$	4.70998	+	5.43560i	0.158864	+	0.183338i
$880$	33.8246	+	31.9772i	1.14023	+	1.07795i
$881$	−31.3564	+	48.7916i	−1.05643	+	1.64383i	−0.348872	+	0.937170i	$0.613435\pi$
$881$	−31.3564	+	48.7916i	−1.05643	+	1.64383i	−0.707553	+	0.706660i	$0.750201\pi$
$882$	−5.40814	+	17.7066i	−0.182102	+	0.596212i
$883$	3.82208	−	4.41091i	0.128623	−	0.148439i	−0.687785	−	0.725915i	$-0.741417\pi$
$883$	3.82208	−	4.41091i	0.128623	−	0.148439i	0.816408	+	0.577476i	$0.195962\pi$
$884$	−4.97283	+	5.49381i	−0.167254	+	0.184777i
$885$	1.66261	+	11.5637i	0.0558882	+	0.388711i
$886$	15.4800	+	54.9137i	0.520060	+	1.84486i
$887$	−19.2756	−	29.9934i	−0.647212	−	1.00708i	−0.997516	−	0.0704448i	$-0.977558\pi$
$887$	−19.2756	−	29.9934i	−0.647212	−	1.00708i	0.350304	−	0.936636i	$-0.386078\pi$
$888$	3.78622	−	11.4985i	0.127057	−	0.385864i
$889$	−3.05697	−	1.39607i	−0.102528	−	0.0468228i
$890$	−3.28408	+	6.98974i	−0.110083	+	0.234297i
$891$	2.83257	+	9.64685i	0.0948946	+	0.323181i
$892$	−11.0628	+	16.4206i	−0.370409	+	0.549803i
$893$	−28.7097	−	8.42994i	−0.960735	−	0.282097i
$894$	−8.45420	−	13.4737i	−0.282751	−	0.450628i
$895$	2.77158	−	19.2768i	0.0926437	−	0.644351i
$896$	8.13929	−	10.7730i	0.271914	−	0.359901i
$897$	−2.33595	+	1.47158i	−0.0779951	+	0.0491347i
$898$	−46.0158	+	6.10805i	−1.53557	+	0.203828i
$899$	9.12492	−	63.4652i	0.304333	−	2.11668i
$900$	−35.8049	−	43.1767i	−1.19350	−	1.43922i
$901$	10.4075	−	35.4446i	0.346723	−	1.18083i
$902$	−7.11024	+	8.02825i	−0.236745	+	0.267312i
$903$	−0.683150	−	2.32660i	−0.0227338	−	0.0774242i
$904$	−3.07855	+	17.3815i	−0.102391	+	0.578101i
$905$	12.4649	−	27.2944i	0.414348	−	0.907296i
$906$	−22.8651	−	15.0470i	−0.759641	−	0.499901i
$907$	−2.05903	−	3.20391i	−0.0683690	−	0.106384i	0.805386	−	0.592751i	$-0.201958\pi$
$907$	−2.05903	−	3.20391i	−0.0683690	−	0.106384i	−0.873755	+	0.486367i	$0.838322\pi$
$908$	29.9350	−	12.8946i	0.993428	−	0.427922i
$909$	−19.5515	+	2.81108i	−0.648482	+	0.0932376i
$910$	3.20270	+	3.77805i	0.106169	+	0.125241i
$911$	−9.54717	+	11.0180i	−0.316312	+	0.365043i	−0.891534	−	0.452954i	$-0.850370\pi$
$911$	−9.54717	+	11.0180i	−0.316312	+	0.365043i	0.575222	+	0.817997i	$0.304916\pi$
$912$	11.2633	−	1.12405i	0.372964	−	0.0372210i
$913$	7.08140	+	4.55094i	0.234360	+	0.150614i
$914$	12.1884	+	27.4725i	0.403155	+	0.908710i
$915$	−13.2252	−	15.2627i	−0.437213	−	0.504571i
$916$	−12.9617	−	0.280868i	−0.428266	−	0.00928014i
$917$	−9.25819	−	20.2726i	−0.305732	−	0.669460i
$918$	−31.7391	−	0.343838i	−1.04755	−	0.0113483i
$919$	−6.93807			−0.228866			−0.114433	−	0.993431i	$-0.536505\pi$
$919$	−6.93807			−0.228866			−0.114433	+	0.993431i	$0.536505\pi$
$920$	54.1828	−	13.4933i	1.78635	−	0.444862i
$921$	−5.14227			−0.169444
$922$	−42.5083	−	0.460504i	−1.39994	−	0.0151659i
$923$	−1.99550	−	4.36954i	−0.0656828	−	0.143825i
$924$	0.118039	−	5.44736i	0.00388321	−	0.179205i
$925$	−41.4601	−	47.8474i	−1.36320	−	1.57321i
$926$	12.4058	+	27.9627i	0.407681	+	0.918911i
$927$	23.3365	+	14.9975i	0.766471	+	0.492581i
$928$	−36.7360	+	8.65713i	−1.20592	+	0.284184i
$929$	−11.7818	+	13.5970i	−0.386550	+	0.446102i	−0.915359	−	0.402638i	$-0.868093\pi$
$929$	−11.7818	+	13.5970i	−0.386550	+	0.446102i	0.528809	+	0.848741i	$0.322639\pi$
$930$	−29.2123	−	34.4601i	−0.957910	−	1.12999i
$931$	−19.3405	+	2.78075i	−0.633860	+	0.0911353i
$932$	−3.13408	−	7.27582i	−0.102660	−	0.238327i
$933$	−8.71902	−	13.5671i	−0.285448	−	0.444166i
$934$	−1.28383	−	0.844860i	−0.0420083	−	0.0276447i
$935$	25.1239	−	55.0137i	0.821639	−	1.79914i
$936$	−0.825675	+	4.66177i	−0.0269880	+	0.152375i
$937$	−5.53511	−	18.8509i	−0.180824	−	0.615831i	−0.999156	−	0.0410843i	$-0.986919\pi$
$937$	−5.53511	−	18.8509i	−0.180824	−	0.615831i	0.818331	−	0.574747i	$-0.194899\pi$
$938$	8.58784	−	9.69663i	0.280403	−	0.316606i
$939$	5.05614	−	17.2196i	0.165001	−	0.561941i
$940$	54.1106	−	44.8720i	1.76489	−	1.46356i
$941$	−5.56270	+	38.6895i	−0.181339	+	1.26124i	0.672262	+	0.740313i	$0.265323\pi$
$941$	−5.56270	+	38.6895i	−0.181339	+	1.26124i	−0.853601	+	0.520927i	$0.825586\pi$
$942$	15.9837	−	2.12165i	0.520778	−	0.0691272i
$943$	3.51276	+	12.3758i	0.114391	+	0.403011i
$944$	−12.1448	+	7.08108i	−0.395279	+	0.230470i
$945$	−3.01924	+	20.9993i	−0.0982158	+	0.683106i
$946$	5.34646	+	8.52081i	0.173828	+	0.277035i
$947$	49.5499	+	14.5492i	1.61016	+	0.472784i	0.958349	−	0.285601i	$-0.0921931\pi$
$947$	49.5499	+	14.5492i	1.61016	+	0.472784i	0.651807	+	0.758385i	$0.274011\pi$
$948$	8.94362	+	6.02543i	0.290475	+	0.195697i
$949$	−0.222984	−	0.759413i	−0.00723836	−	0.0246516i
$950$	25.1734	−	53.5784i	0.816734	−	1.73831i
$951$	−9.97882	−	4.55717i	−0.323585	−	0.147776i
$952$	−16.6632	−	5.48685i	−0.540057	−	0.177830i
$953$	−21.6359	−	33.6661i	−0.700855	−	1.09055i	−0.991038	−	0.133580i	$-0.957353\pi$
$953$	−21.6359	−	33.6661i	−0.700855	−	1.09055i	0.290183	−	0.956971i	$-0.406284\pi$
$954$	−6.40358	−	22.7161i	−0.207323	−	0.735459i
$955$	13.2886	+	92.4242i	0.430009	+	2.99078i
$956$	−20.8879	−	18.9071i	−0.675564	−	0.611500i
$957$	−9.97392	+	11.5105i	−0.322411	+	0.372082i
$958$	−9.32491	+	30.5303i	−0.301274	+	0.986389i
$959$	5.15895	−	8.02749i	0.166591	−	0.259221i
$960$	−12.5947	+	23.4207i	−0.406491	+	0.755898i
$961$	40.1776	+	46.3674i	1.29605	+	1.49572i
$962$	−0.817745	+	5.28079i	−0.0263652	+	0.170260i
$963$	30.9990	−	14.1568i	0.998928	−	0.456195i
$964$	−57.2035	+	6.96337i	−1.84240	+	0.224275i
$965$	−22.0794			−0.710761
$966$	−5.42728	−	3.64223i	−0.174620	−	0.117187i
$967$			4.49381i			0.144511i	0.997386	+	0.0722555i	$0.0230197\pi$
$967$			4.49381i			0.144511i	−0.997386	+	0.0722555i	$0.976980\pi$
$968$	−2.13077	−	8.23811i	−0.0684855	−	0.264783i
$969$	−6.10956	−	13.3781i	−0.196267	−	0.429766i
$970$	−3.26746	+	21.1004i	−0.104912	+	0.677493i
$971$	26.1451	−	22.6549i	0.839038	−	0.727030i	−0.125182	−	0.992134i	$-0.539952\pi$
$971$	26.1451	−	22.6549i	0.839038	−	0.727030i	0.964220	+	0.265103i	$0.0854061\pi$
$972$	−26.9943	+	16.5330i	−0.865843	+	0.530297i
$973$	−11.6847	−	7.50932i	−0.374595	−	0.240738i
$974$	−25.2282	−	7.70547i	−0.808363	−	0.246899i
$975$	−5.19678	−	4.50304i	−0.166430	−	0.144213i
$976$	11.0437	−	21.6481i	0.353499	−	0.692940i
$977$	33.4873	−	4.81474i	1.07135	−	0.154037i	0.416003	−	0.909363i	$-0.363430\pi$
$977$	33.4873	−	4.81474i	1.07135	−	0.154037i	0.655349	+	0.755326i	$0.272521\pi$
$978$	6.93194	+	24.5904i	0.221659	+	0.786314i
$979$	−3.15488	+	2.02752i	−0.100831	+	0.0647999i
$980$	19.9694	−	41.3329i	0.637898	−	1.32033i
$981$	8.10070	−	17.7381i	0.258635	−	0.566332i
$982$	17.6340	+	8.28522i	0.562725	+	0.264392i
$983$	33.7197	−	9.90100i	1.07549	−	0.315793i	0.304418	−	0.952539i	$-0.401538\pi$
$983$	33.7197	−	9.90100i	1.07549	−	0.315793i	0.771074	+	0.636746i	$0.219720\pi$
$984$	−5.48741	−	2.72487i	−0.174932	−	0.0868656i
$985$	9.92915	−	33.8156i	0.316369	−	1.07745i
$986$	26.0639	+	41.5388i	0.830044	+	1.32287i
$987$	−8.14476	−	1.17104i	−0.259251	−	0.0372746i
$988$	−4.82350	+	1.30349i	−0.153456	+	0.0414696i
$989$	12.0665	+	0.108988i	0.383693	+	0.00346562i
$990$	−5.08437	−	38.3037i	−0.161592	−	1.21737i
$991$	−22.3682	−	3.21606i	−0.710549	−	0.102162i	−0.222443	−	0.974946i	$-0.571403\pi$
$991$	−22.3682	−	3.21606i	−0.710549	−	0.102162i	−0.488106	+	0.872784i	$0.662312\pi$
$992$	25.2270	−	48.1548i	0.800959	−	1.52892i
$993$	7.64290	+	2.24416i	0.242540	+	0.0712162i
$994$	7.53999	−	8.51349i	0.239154	−	0.270032i
$995$	6.32014	−	1.85576i	0.200362	−	0.0588316i
$996$	−1.45450	+	4.58377i	−0.0460875	+	0.145242i
$997$	19.1280	+	8.73548i	0.605791	+	0.276655i	0.694603	−	0.719393i	$-0.255580\pi$
$997$	19.1280	+	8.73548i	0.605791	+	0.276655i	−0.0888124	+	0.996048i	$0.528307\pi$
$998$	6.49875	−	9.87537i	0.205714	−	0.312600i
$999$	−19.2558	+	12.3749i	−0.609226	+	0.391526i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.j.a.107.11	yes	220
4.3	odd	2		736.2.r.a.15.7		220
8.3	odd	2	inner	184.2.j.a.107.13	yes	220
8.5	even	2		736.2.r.a.15.8		220
23.20	odd	22	inner	184.2.j.a.43.13	yes	220
92.43	even	22		736.2.r.a.687.8		220
184.43	even	22	inner	184.2.j.a.43.11	✓	220
184.181	odd	22		736.2.r.a.687.7		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.j.a.43.11	✓	220	184.43	even	22	inner
184.2.j.a.43.13	yes	220	23.20	odd	22	inner
184.2.j.a.107.11	yes	220	1.1	even	1	trivial
184.2.j.a.107.13	yes	220	8.3	odd	2	inner
736.2.r.a.15.7		220	4.3	odd	2
736.2.r.a.15.8		220	8.5	even	2
736.2.r.a.687.7		220	184.181	odd	22
736.2.r.a.687.8		220	92.43	even	22

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0153197 - 1.41413i) q^{2} +(0.335452 + 0.734537i) q^{3} +(-1.99953 - 0.0433280i) q^{4} +(-2.69567 - 3.11097i) q^{5} +(1.04387 - 0.463120i) q^{6} +(-1.00397 - 0.645214i) q^{7} +(-0.0919036 + 2.82693i) q^{8} +(1.53757 - 1.77445i) q^{9} +(-4.44062 + 3.76438i) q^{10} +(-2.79816 + 0.402314i) q^{11} +(-0.638920 - 1.48326i) q^{12} +(0.385423 + 0.599730i) q^{13} +(-0.927797 + 1.40986i) q^{14} +(1.38086 - 3.02366i) q^{15} +(3.99625 + 0.173271i) q^{16} +(-1.46423 - 4.98670i) q^{17} +(-2.48574 - 2.20150i) q^{18} +(0.987293 - 3.36241i) q^{19} +(5.25529 + 6.33729i) q^{20} +(0.137149 - 0.953893i) q^{21} +(0.526058 + 3.96312i) q^{22} +(4.34427 + 2.03158i) q^{23} +(-2.10732 + 0.880793i) q^{24} +(-1.69993 + 11.8232i) q^{25} +(0.854001 - 0.535851i) q^{26} +(4.14358 + 1.21666i) q^{27} +(1.97952 + 1.33363i) q^{28} +(-1.87971 - 6.40170i) q^{29} +(-4.25469 - 1.99903i) q^{30} +(8.74160 + 3.99216i) q^{31} +(0.306249 - 5.64856i) q^{32} +(-1.23416 - 1.92039i) q^{33} +(-7.07427 + 1.99421i) q^{34} +(0.699139 + 4.86262i) q^{35} +(-3.15129 + 3.48144i) q^{36} +(-3.47096 + 4.00570i) q^{37} +(-4.73976 - 1.44767i) q^{38} +(-0.311233 + 0.484288i) q^{39} +(9.04226 - 7.33458i) q^{40} +(1.75664 + 2.02727i) q^{41} +(-1.34683 - 0.208560i) q^{42} +(2.28877 - 1.04525i) q^{43} +(5.61243 - 0.683201i) q^{44} -9.66503 q^{45} +(2.93947 - 6.11224i) q^{46} -8.53844i q^{47} +(1.21327 + 2.99351i) q^{48} +(-2.31625 - 5.07187i) q^{49} +(16.6936 + 2.58505i) q^{50} +(3.17174 - 2.74832i) q^{51} +(-0.744680 - 1.21588i) q^{52} +(5.97949 + 3.84279i) q^{53} +(1.78400 - 5.84092i) q^{54} +(8.79451 + 7.62049i) q^{55} +(1.91625 - 2.77887i) q^{56} +(2.80100 - 0.402724i) q^{57} +(-9.08164 + 2.56008i) q^{58} +(-2.95666 + 1.90013i) q^{59} +(-2.89208 + 5.98606i) q^{60} +(2.52389 - 5.52655i) q^{61} +(5.77935 - 12.3006i) q^{62} +(-2.68857 + 0.789435i) q^{63} +(-7.98311 - 0.519611i) q^{64} +(0.826769 - 2.81572i) q^{65} +(-2.73459 + 1.71585i) q^{66} +(-7.59646 - 1.09221i) q^{67} +(2.71170 + 10.0345i) q^{68} +(-0.0349776 + 3.87252i) q^{69} +(6.88709 - 0.914181i) q^{70} +(-6.66958 - 0.958940i) q^{71} +(4.87493 + 4.50967i) q^{72} +(-1.06524 - 0.312784i) q^{73} +(5.61142 + 4.96976i) q^{74} +(-9.25486 + 2.71747i) q^{75} +(-2.11981 + 6.68046i) q^{76} +(3.06885 + 1.40150i) q^{77} +(0.680078 + 0.447543i) q^{78} +(-5.61730 + 3.61002i) q^{79} +(-10.2335 - 12.8993i) q^{80} +(-0.506149 - 3.52034i) q^{81} +(2.89374 - 2.45306i) q^{82} +(-2.25037 - 1.94996i) q^{83} +(-0.315564 + 1.90140i) q^{84} +(-11.5664 + 17.9977i) q^{85} +(-1.44305 - 3.25263i) q^{86} +(4.07173 - 3.52818i) q^{87} +(-0.880155 - 7.94718i) q^{88} +(1.20672 - 0.551091i) q^{89} +(-0.148065 + 13.6676i) q^{90} -0.850793i q^{91} +(-8.59848 - 4.25044i) q^{92} +7.76021i q^{93} +(-12.0745 - 0.130806i) q^{94} +(-13.1218 + 5.99252i) q^{95} +(4.25181 - 1.66987i) q^{96} +(2.77192 - 2.40188i) q^{97} +(-7.20777 + 3.19777i) q^{98} +(-3.58846 + 5.58376i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) \) 220 * q - 11 * q^2 - 18 * q^3 - 3 * q^4 - 12 * q^6 - 8 * q^8 - 36 * q^9 - 11 * q^10 - 22 * q^11 - 6 * q^12 - 11 * q^14 + 5 * q^16 - 22 * q^17 - 6 * q^18 - 22 * q^19 - 11 * q^20 - 18 * q^24 - 32 * q^25 - 10 * q^26 - 18 * q^27 - 11 * q^28 - 11 * q^30 - 11 * q^32 - 22 * q^33 + 11 * q^34 + 2 * q^35 - 41 * q^36 + 44 * q^38 - 99 * q^40 - 18 * q^41 + 99 * q^42 - 22 * q^43 - 88 * q^44 + 45 * q^46 - 100 * q^48 - 28 * q^49 + 14 * q^50 - 22 * q^51 - 118 * q^52 + 102 * q^54 - 66 * q^56 - 22 * q^57 + 43 * q^58 - 6 * q^59 - 33 * q^60 - 56 * q^62 + 18 * q^64 - 22 * q^65 + 22 * q^66 - 22 * q^67 - 10 * q^70 - 23 * q^72 - 18 * q^73 + 14 * q^75 + 44 * q^76 + 98 * q^78 + 88 * q^80 + 4 * q^81 + 14 * q^82 - 22 * q^83 + 143 * q^84 + 99 * q^86 + 77 * q^88 - 22 * q^89 + 176 * q^90 + 36 * q^92 + 111 * q^94 + 101 * q^96 - 22 * q^97 + 121 * q^98 - 22 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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