LMFDB - Embedded newform 192.2.s.a.107.19

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [192,2,Mod(11,192)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("192.11"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(192, base_ring=CyclotomicField(16)) chi = DirichletCharacter(H, H._module([8, 5, 8])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 192 = 2^{6} \cdot 3 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	192.s (of order $16$, degree $8$, 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:	$1.53312771881$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$30$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.19
Character	$\chi$	$=$	192.107
Dual form			192.2.s.a.131.19

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.484976 - 1.32846i) q^{2} +(1.73189 - 0.0238074i) q^{3} +(-1.52960 - 1.28854i) q^{4} +(2.22872 + 3.33552i) q^{5} +(0.808297 - 2.31228i) q^{6} +(0.140254 - 0.338604i) q^{7} +(-2.45359 + 1.40709i) q^{8} +(2.99887 - 0.0824635i) q^{9} +(5.51197 - 1.34312i) q^{10} +(-4.16199 - 0.827871i) q^{11} +(-2.67977 - 2.19519i) q^{12} +(-1.81231 - 1.21095i) q^{13} +(-0.381801 - 0.350537i) q^{14} +(3.93931 + 5.72369i) q^{15} +(0.679331 + 3.94189i) q^{16} +(-2.34477 - 2.34477i) q^{17} +(1.34483 - 4.02386i) q^{18} +(-5.58598 - 3.73243i) q^{19} +(0.888903 - 7.97380i) q^{20} +(0.234843 - 0.589763i) q^{21} +(-3.11826 + 5.12753i) q^{22} +(-0.561434 - 1.35542i) q^{23} +(-4.21584 + 2.49534i) q^{24} +(-4.24507 + 10.2485i) q^{25} +(-2.48762 + 1.82030i) q^{26} +(5.19174 - 0.214213i) q^{27} +(-0.650837 + 0.337204i) q^{28} +(-0.511665 - 2.57231i) q^{29} +(9.51414 - 2.45735i) q^{30} +7.17816 q^{31} +(5.56609 + 1.00926i) q^{32} +(-7.22781 - 1.33469i) q^{33} +(-4.25209 + 1.97777i) q^{34} +(1.44201 - 0.286833i) q^{35} +(-4.69331 - 3.73802i) q^{36} +(2.65038 + 3.96658i) q^{37} +(-7.66744 + 5.61059i) q^{38} +(-3.16755 - 2.05408i) q^{39} +(-10.1618 - 5.04797i) q^{40} +(5.19602 - 2.15226i) q^{41} +(-0.669581 - 0.598000i) q^{42} +(-0.439507 - 0.0874234i) q^{43} +(5.29942 + 6.62920i) q^{44} +(6.95870 + 9.81899i) q^{45} +(-2.07290 + 0.0884939i) q^{46} +(2.23583 - 2.23583i) q^{47} +(1.27037 + 6.81074i) q^{48} +(4.85477 + 4.85477i) q^{49} +(11.5560 + 10.6097i) q^{50} +(-4.11670 - 4.00506i) q^{51} +(1.21175 + 4.18749i) q^{52} +(-1.03488 + 5.20272i) q^{53} +(2.23329 - 7.00089i) q^{54} +(-6.51454 - 15.7275i) q^{55} +(0.132321 + 1.02815i) q^{56} +(-9.76314 - 6.33116i) q^{57} +(-3.66535 - 0.567786i) q^{58} +(-6.44677 + 4.30759i) q^{59} +(1.34964 - 13.8309i) q^{60} +(2.26118 + 11.3677i) q^{61} +(3.48123 - 9.53587i) q^{62} +(0.392682 - 1.02699i) q^{63} +(4.04018 - 6.90485i) q^{64} -8.74387i q^{65} +(-5.27840 + 8.95454i) q^{66} +(3.80620 - 0.757101i) q^{67} +(0.565223 + 6.60788i) q^{68} +(-1.00461 - 2.33407i) q^{69} +(0.318294 - 2.05475i) q^{70} +(3.54274 + 1.46745i) q^{71} +(-7.24195 + 4.42201i) q^{72} +(-8.70231 + 3.60462i) q^{73} +(6.55480 - 1.59722i) q^{74} +(-7.10800 + 17.8503i) q^{75} +(3.73490 + 12.9069i) q^{76} +(-0.864058 + 1.29315i) q^{77} +(-4.26494 + 3.21177i) q^{78} +(2.50332 - 2.50332i) q^{79} +(-11.6342 + 11.0513i) q^{80} +(8.98640 - 0.494594i) q^{81} +(-0.339242 - 7.94648i) q^{82} +(-1.65223 + 2.47273i) q^{83} +(-1.11915 + 0.599494i) q^{84} +(2.59519 - 13.0469i) q^{85} +(-0.329289 + 0.541468i) q^{86} +(-0.947386 - 4.44278i) q^{87} +(11.3767 - 3.82505i) q^{88} +(-11.1954 - 4.63728i) q^{89} +(16.4189 - 4.48236i) q^{90} +(-0.664216 + 0.443815i) q^{91} +(-0.887747 + 2.79668i) q^{92} +(12.4318 - 0.170893i) q^{93} +(-1.88588 - 4.05453i) q^{94} -26.9507i q^{95} +(9.66387 + 1.61541i) q^{96} -10.0855i q^{97} +(8.80379 - 4.09490i) q^{98} +(-12.5495 - 2.13946i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28}+ \cdots - 8 q^{99}+O(q^{100}) $ 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/192\mathbb{Z}\right)^\times$.

$n$	$65$	$127$	$133$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{16}\right)$

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 $

$2$	0.484976	−	1.32846i	0.342930	−	0.939361i
$2$	0.484976	−	1.32846i	0.342930	−	0.939361i
$3$	1.73189	−	0.0238074i	0.999906	−	0.0137452i
$3$	1.73189	−	0.0238074i	0.999906	−	0.0137452i
$4$	−1.52960	−	1.28854i	−0.764798	−	0.644270i
$5$	2.22872	+	3.33552i	0.996716	+	1.49169i	0.865858	+	0.500289i	$0.166773\pi$
$5$	2.22872	+	3.33552i	0.996716	+	1.49169i	0.130857	+	0.991401i	$0.458227\pi$
$6$	0.808297	−	2.31228i	0.329986	−	0.943986i
$7$	0.140254	−	0.338604i	0.0530112	−	0.127980i	−0.895155	−	0.445755i	$-0.852935\pi$
$7$	0.140254	−	0.338604i	0.0530112	−	0.127980i	0.948166	+	0.317774i	$0.102935\pi$
$8$	−2.45359	+	1.40709i	−0.867474	+	0.497482i
$9$	2.99887	−	0.0824635i	0.999622	−	0.0274878i
$10$	5.51197	−	1.34312i	1.74304	−	0.424731i
$11$	−4.16199	−	0.827871i	−1.25489	−	0.249613i	−0.477498	−	0.878633i	$-0.658456\pi$
$11$	−4.16199	−	0.827871i	−1.25489	−	0.249613i	−0.777389	+	0.629020i	$0.783456\pi$
$12$	−2.67977	−	2.19519i	−0.773582	−	0.633697i
$13$	−1.81231	−	1.21095i	−0.502644	−	0.335856i	0.278261	−	0.960505i	$-0.410242\pi$
$13$	−1.81231	−	1.21095i	−0.502644	−	0.335856i	−0.780905	+	0.624649i	$0.785242\pi$
$14$	−0.381801	−	0.350537i	−0.102041	−	0.0936849i
$15$	3.93931	+	5.72369i	1.01713	+	1.47785i
$16$	0.679331	+	3.94189i	0.169833	+	0.985473i
$17$	−2.34477	−	2.34477i	−0.568690	−	0.568690i	0.363071	−	0.931761i	$-0.381728\pi$
$17$	−2.34477	−	2.34477i	−0.568690	−	0.568690i	−0.931761	+	0.363071i	$0.881728\pi$
$18$	1.34483	−	4.02386i	0.316979	−	0.948432i
$19$	−5.58598	−	3.73243i	−1.28151	−	0.856278i	−0.286700	−	0.958020i	$-0.592558\pi$
$19$	−5.58598	−	3.73243i	−1.28151	−	0.856278i	−0.994811	+	0.101742i	$0.967558\pi$
$20$	0.888903	−	7.97380i	0.198765	−	1.78300i
$21$	0.234843	−	0.589763i	0.0512470	−	0.128697i
$22$	−3.11826	+	5.12753i	−0.664815	+	1.09319i
$23$	−0.561434	−	1.35542i	−0.117067	−	0.282625i	0.854475	−	0.519493i	$-0.173879\pi$
$23$	−0.561434	−	1.35542i	−0.117067	−	0.282625i	−0.971542	+	0.236868i	$0.923879\pi$
$24$	−4.21584	+	2.49534i	−0.860554	+	0.509359i
$25$	−4.24507	+	10.2485i	−0.849015	+	2.04970i
$26$	−2.48762	+	1.82030i	−0.487862	+	0.356989i
$27$	5.19174	−	0.214213i	0.999150	−	0.0412253i
$28$	−0.650837	+	0.337204i	−0.122997	+	0.0637256i
$29$	−0.511665	−	2.57231i	−0.0950138	−	0.477667i	−0.998768	−	0.0496157i	$-0.984200\pi$
$29$	−0.511665	−	2.57231i	−0.0950138	−	0.477667i	0.903755	−	0.428051i	$-0.140800\pi$
$30$	9.51414	−	2.45735i	1.73704	−	0.448649i
$31$	7.17816			1.28924			0.644618	−	0.764505i	$-0.277017\pi$
$31$	7.17816			1.28924			0.644618	+	0.764505i	$0.277017\pi$
$32$	5.56609	+	1.00926i	0.983956	+	0.178414i
$33$	−7.22781	−	1.33469i	−1.25820	−	0.232340i
$34$	−4.25209	+	1.97777i	−0.729227	+	0.339185i
$35$	1.44201	−	0.286833i	0.243744	−	0.0484837i
$36$	−4.69331	−	3.73802i	−0.782219	−	0.623004i
$37$	2.65038	+	3.96658i	0.435720	+	0.652101i	0.982734	−	0.185022i	$-0.0592357\pi$
$37$	2.65038	+	3.96658i	0.435720	+	0.652101i	−0.547014	+	0.837123i	$0.684236\pi$
$38$	−7.66744	+	5.61059i	−1.24382	+	0.910158i
$39$	−3.16755	−	2.05408i	−0.507213	−	0.328916i
$40$	−10.1618	−	5.04797i	−1.60671	−	0.798155i
$41$	5.19602	−	2.15226i	0.811482	−	0.336127i	0.0619368	−	0.998080i	$-0.480272\pi$
$41$	5.19602	−	2.15226i	0.811482	−	0.336127i	0.749545	+	0.661953i	$0.230272\pi$
$42$	−0.669581	−	0.598000i	−0.103319	−	0.0922735i
$43$	−0.439507	−	0.0874234i	−0.0670242	−	0.0133319i	0.161464	−	0.986879i	$-0.448378\pi$
$43$	−0.439507	−	0.0874234i	−0.0670242	−	0.0133319i	−0.228489	+	0.973547i	$0.573378\pi$
$44$	5.29942	+	6.62920i	0.798918	+	0.999389i
$45$	6.95870	+	9.81899i	1.03734	+	1.46373i
$46$	−2.07290	+	0.0884939i	−0.305633	+	0.0130477i
$47$	2.23583	−	2.23583i	0.326129	−	0.326129i	−0.524983	−	0.851113i	$-0.675928\pi$
$47$	2.23583	−	2.23583i	0.326129	−	0.326129i	0.851113	+	0.524983i	$0.175928\pi$
$48$	1.27037	+	6.81074i	0.183362	+	0.983045i
$49$	4.85477	+	4.85477i	0.693538	+	0.693538i
$50$	11.5560	+	10.6097i	1.63426	+	1.50044i
$51$	−4.11670	−	4.00506i	−0.576454	−	0.560820i
$52$	1.21175	+	4.18749i	0.168040	+	0.580701i
$53$	−1.03488	+	5.20272i	−0.142152	+	0.714648i	0.842302	+	0.539006i	$0.181200\pi$
$53$	−1.03488	+	5.20272i	−0.142152	+	0.714648i	−0.984454	+	0.175642i	$0.943800\pi$
$54$	2.23329	−	7.00089i	0.303913	−	0.952700i
$55$	−6.51454	−	15.7275i	−0.878421	−	2.12070i
$56$	0.132321	+	1.02815i	0.0176821	+	0.137392i
$57$	−9.76314	−	6.33116i	−1.29316	−	0.838583i
$58$	−3.66535	−	0.567786i	−0.481285	−	0.0745539i
$59$	−6.44677	+	4.30759i	−0.839298	+	0.560801i	−0.899267	−	0.437399i	$-0.855900\pi$
$59$	−6.44677	+	4.30759i	−0.839298	+	0.560801i	0.0599697	+	0.998200i	$0.480900\pi$
$60$	1.34964	−	13.8309i	0.174238	−	1.78556i
$61$	2.26118	+	11.3677i	0.289514	+	1.45548i	0.802276	+	0.596954i	$0.203622\pi$
$61$	2.26118	+	11.3677i	0.289514	+	1.45548i	−0.512762	+	0.858531i	$0.671378\pi$
$62$	3.48123	−	9.53587i	0.442117	−	1.21106i
$63$	0.392682	−	1.02699i	0.0494732	−	0.129389i
$64$	4.04018	−	6.90485i	0.505023	−	0.863106i
$65$		−	8.74387i		−	1.08454i
$66$	−5.27840	+	8.95454i	−0.649726	+	1.10223i
$67$	3.80620	−	0.757101i	0.465002	−	0.0924946i	0.0429713	−	0.999076i	$-0.486318\pi$
$67$	3.80620	−	0.757101i	0.465002	−	0.0924946i	0.422030	+	0.906582i	$0.361318\pi$
$68$	0.565223	+	6.60788i	0.0685433	+	0.801324i
$69$	−1.00461	−	2.33407i	−0.120941	−	0.280989i
$70$	0.318294	−	2.05475i	0.0380434	−	0.245590i
$71$	3.54274	+	1.46745i	0.420446	+	0.174154i	0.582868	−	0.812567i	$-0.301931\pi$
$71$	3.54274	+	1.46745i	0.420446	+	0.174154i	−0.162422	+	0.986721i	$0.551931\pi$
$72$	−7.24195	+	4.42201i	−0.853472	+	0.521139i
$73$	−8.70231	+	3.60462i	−1.01853	+	0.421888i	−0.828559	−	0.559902i	$-0.810839\pi$
$73$	−8.70231	+	3.60462i	−1.01853	+	0.421888i	−0.189970	+	0.981790i	$0.560839\pi$
$74$	6.55480	−	1.59722i	0.761980	−	0.185673i
$75$	−7.10800	+	17.8503i	−0.820761	+	2.06118i
$76$	3.73490	+	12.9069i	0.428423	+	1.48052i
$77$	−0.864058	+	1.29315i	−0.0984685	+	0.147369i
$78$	−4.26494	+	3.21177i	−0.482909	+	0.363662i
$79$	2.50332	−	2.50332i	0.281645	−	0.281645i	−0.552120	−	0.833765i	$-0.686181\pi$
$79$	2.50332	−	2.50332i	0.281645	−	0.281645i	0.833765	+	0.552120i	$0.186181\pi$
$80$	−11.6342	+	11.0513i	−1.30075	+	1.23557i
$81$	8.98640	−	0.494594i	0.998489	−	0.0549549i
$82$	−0.339242	−	7.94648i	−0.0374631	−	0.877542i
$83$	−1.65223	+	2.47273i	−0.181356	+	0.271418i	−0.910998	−	0.412411i	$-0.864687\pi$
$83$	−1.65223	+	2.47273i	−0.181356	+	0.271418i	0.729642	+	0.683829i	$0.239687\pi$
$84$	−1.11915	+	0.599494i	−0.122109	+	0.0654102i
$85$	2.59519	−	13.0469i	0.281487	−	1.41513i
$86$	−0.329289	+	0.541468i	−0.0355081	+	0.0583880i
$87$	−0.947386	−	4.44278i	−0.101570	−	0.476316i
$88$	11.3767	−	3.82505i	1.21276	−	0.407752i
$89$	−11.1954	−	4.63728i	−1.18671	−	0.491551i	−0.300027	−	0.953931i	$-0.596996\pi$
$89$	−11.1954	−	4.63728i	−1.18671	−	0.491551i	−0.886682	+	0.462379i	$0.846996\pi$
$90$	16.4189	−	4.48236i	1.73071	−	0.472483i
$91$	−0.664216	+	0.443815i	−0.0696288	+	0.0465245i
$92$	−0.887747	+	2.79668i	−0.0925540	+	0.291574i
$93$	12.4318	−	0.170893i	1.28911	−	0.0177208i
$94$	−1.88588	−	4.05453i	−0.194514	−	0.418193i
$95$		−	26.9507i		−	2.76508i
$96$	9.66387	+	1.61541i	0.986315	+	0.164872i
$97$		−	10.0855i		−	1.02403i	−0.858977	−	0.512014i	$-0.828900\pi$
$97$		−	10.0855i		−	1.02403i	0.858977	−	0.512014i	$-0.171100\pi$
$98$	8.80379	−	4.09490i	0.889317	−	0.413648i
$99$	−12.5495	−	2.13946i	−1.26127	−	0.215024i
$100$	19.6989	−	10.2061i	1.96989	−	1.02061i
$101$	0.0228565	−	0.0152722i	0.00227431	−	0.00151964i	−0.554433	−	0.832229i	$-0.687065\pi$
$101$	0.0228565	−	0.0152722i	0.00227431	−	0.00151964i	0.556707	+	0.830709i	$0.312065\pi$
$102$	−7.31705	+	3.52651i	−0.724496	+	0.349176i
$103$	1.11844	+	0.463273i	0.110203	+	0.0456477i	0.437104	−	0.899411i	$-0.356004\pi$
$103$	1.11844	+	0.463273i	0.110203	+	0.0456477i	−0.326901	+	0.945059i	$0.606004\pi$
$104$	6.15058	+	0.421076i	0.603114	+	0.0412899i
$105$	2.49057	−	0.531094i	0.243055	−	0.0518294i
$106$	6.40969	+	3.89799i	0.622564	+	0.378607i
$107$	1.80798	−	9.08932i	0.174784	−	0.878698i	−0.789485	−	0.613770i	$-0.789652\pi$
$107$	1.80798	−	9.08932i	0.174784	−	0.878698i	0.964268	−	0.264927i	$-0.0853480\pi$
$108$	−8.21728	−	6.36210i	−0.790708	−	0.612193i
$109$	1.95411	−	2.92454i	0.187170	−	0.280120i	−0.726003	−	0.687691i	$-0.758624\pi$
$109$	1.95411	−	2.92454i	0.187170	−	0.280120i	0.913173	+	0.407572i	$0.133624\pi$
$110$	−24.0527	+	1.02683i	−2.29334	+	0.0979045i
$111$	4.68460	+	6.80656i	0.444642	+	0.646050i
$112$	1.43002	+	0.322843i	0.135124	+	0.0305058i
$113$	12.9804	−	12.9804i	1.22110	−	1.22110i	0.253852	−	0.967243i	$-0.418302\pi$
$113$	12.9804	−	12.9804i	1.22110	−	1.22110i	0.967243	−	0.253852i	$-0.0816977\pi$
$114$	−13.1456	+	9.89945i	−1.23119	+	0.927168i
$115$	3.26975	−	4.89353i	0.304906	−	0.456324i
$116$	−2.53189	+	4.59390i	−0.235080	+	0.426533i
$117$	−5.53474	−	3.48202i	−0.511687	−	0.321913i
$118$	2.59592	+	10.6533i	0.238974	+	0.980719i
$119$	−1.12281	+	0.465084i	−0.102928	+	0.0426342i
$120$	−17.7192	−	8.50059i	−1.61753	−	0.775995i
$121$	6.47411	+	2.68166i	0.588556	+	0.243788i
$122$	16.1981	+	2.50919i	1.46651	+	0.227171i
$123$	8.94768	−	3.85118i	0.806785	−	0.347249i
$124$	−10.9797	−	9.24934i	−0.986005	−	0.830615i
$125$	−23.9727	+	4.76846i	−2.14418	+	0.426504i
$126$	−1.17388	−	1.01973i	−0.104577	−	0.0908446i
$127$			14.4290i			1.28037i	0.768222	+	0.640184i	$0.221142\pi$
$127$			14.4290i			1.28037i	−0.768222	+	0.640184i	$0.778858\pi$
$128$	−7.21340	−	8.71589i	−0.637581	−	0.770384i
$129$	−0.763258	−	0.140944i	−0.0672011	−	0.0124094i
$130$	−11.6159	−	4.24057i	−1.01878	−	0.371922i
$131$	2.97311	+	14.9468i	0.259762	+	1.30591i	0.861720	+	0.507384i	$0.169387\pi$
$131$	2.97311	+	14.9468i	0.259762	+	1.30591i	−0.601958	+	0.798528i	$0.705613\pi$
$132$	9.33582	+	11.3549i	0.812579	+	0.988313i
$133$	−2.04727	+	1.36794i	−0.177521	+	0.118616i
$134$	0.840141	−	5.42355i	0.0725771	−	0.468523i
$135$	12.2855	+	16.8397i	1.05736	+	1.44933i
$136$	9.05241	+	2.45379i	0.776238	+	0.210411i
$137$	0.0142442	+	0.0343885i	0.00121696	+	0.00293800i	0.924487	−	0.381214i	$-0.124494\pi$
$137$	0.0142442	+	0.0343885i	0.00121696	+	0.00293800i	−0.923270	+	0.384152i	$0.874494\pi$
$138$	−3.58792	+	0.202612i	−0.305424	+	0.0172475i
$139$	0.748199	−	3.76145i	0.0634614	−	0.319042i	−0.935995	−	0.352014i	$-0.885497\pi$
$139$	0.748199	−	3.76145i	0.0634614	−	0.319042i	0.999456	+	0.0329715i	$0.0104971\pi$
$140$	−2.57529	−	1.41935i	−0.217652	−	0.119957i
$141$	3.81898	−	3.92544i	0.321616	−	0.330581i
$142$	3.66759	−	3.99470i	0.307777	−	0.335228i
$143$	6.54031	+	6.54031i	0.546928	+	0.546928i
$144$	2.36228	+	11.7652i	0.196857	+	0.980432i
$145$	7.43965	−	7.43965i	0.617829	−	0.617829i
$146$	0.568164	+	13.3088i	0.0470216	+	1.10144i
$147$	8.52349	+	8.29233i	0.703005	+	0.683940i
$148$	1.05708	−	9.48238i	0.0868912	−	0.779447i
$149$	−5.53720	−	1.10142i	−0.453625	−	0.0902316i	−0.0370105	−	0.999315i	$-0.511783\pi$
$149$	−5.53720	−	1.10142i	−0.453625	−	0.0902316i	−0.416614	+	0.909083i	$0.636783\pi$
$150$	20.2662	+	18.0997i	1.65473	+	1.47783i
$151$	−22.1679	+	9.18223i	−1.80400	+	0.747239i	−0.819203	+	0.573504i	$0.805584\pi$
$151$	−22.1679	+	9.18223i	−1.80400	+	0.747239i	−0.984792	+	0.173735i	$0.944416\pi$
$152$	18.9576	+	1.29786i	1.53766	+	0.105270i
$153$	−7.22501	−	6.83830i	−0.584108	−	0.552844i
$154$	1.29885	+	1.77501i	0.104664	+	0.143035i
$155$	15.9981	+	23.9429i	1.28500	+	1.92314i
$156$	2.19831	+	7.22342i	0.176005	+	0.578336i
$157$	−14.2842	+	2.84130i	−1.14000	+	0.226761i	−0.728763	−	0.684766i	$-0.759904\pi$
$157$	−14.2842	+	2.84130i	−1.14000	+	0.226761i	−0.411240	+	0.911527i	$0.634904\pi$
$158$	−2.11150	−	4.53960i	−0.167982	−	0.361151i
$159$	−1.66844	+	9.03516i	−0.132316	+	0.716535i
$160$	9.03887	+	20.8152i	0.714586	+	1.64559i
$161$	−0.537695			−0.0423763
$162$	3.70114	−	12.1779i	0.290789	−	0.956787i
$163$	−0.412821	−	2.07539i	−0.0323346	−	0.162557i	0.961244	−	0.275698i	$-0.0889089\pi$
$163$	−0.412821	−	2.07539i	−0.0323346	−	0.162557i	−0.993579	+	0.113141i	$0.963909\pi$
$164$	−10.7211	−	3.40319i	−0.837176	−	0.265744i
$165$	−11.6569	−	27.0832i	−0.907487	−	2.10842i
$166$	2.48363	+	3.39413i	0.192767	+	0.263436i
$167$	−1.47763	+	3.56732i	−0.114343	+	0.276047i	−0.970683	−	0.240365i	$-0.922733\pi$
$167$	−1.47763	+	3.56732i	−0.114343	+	0.276047i	0.856340	+	0.516412i	$0.172733\pi$
$168$	0.253642	+	1.77748i	0.0195689	+	0.137136i
$169$	−3.15681	−	7.62121i	−0.242831	−	0.586247i
$170$	−16.0736	−	9.77502i	−1.23279	−	0.749710i
$171$	−17.0594	−	10.7324i	−1.30456	−	0.820729i
$172$	0.559620	+	0.700045i	0.0426706	+	0.0533779i
$173$	16.3732	+	10.9402i	1.24483	+	0.831771i	0.990788	−	0.135421i	$-0.0432388\pi$
$173$	16.3732	+	10.9402i	1.24483	+	0.831771i	0.254045	+	0.967192i	$0.418239\pi$
$174$	−6.36150	−	0.896078i	−0.482264	−	0.0679315i
$175$	2.87480	+	2.87480i	0.217314	+	0.217314i
$176$	0.436011	−	16.9685i	0.0328656	−	1.27905i
$177$	−11.0625	+	7.61374i	−0.831510	+	0.572284i
$178$	−11.5899	+	12.6236i	−0.868702	+	0.946181i
$179$	−2.39937	−	1.60321i	−0.179337	−	0.119829i	0.462661	−	0.886535i	$-0.346895\pi$
$179$	−2.39937	−	1.60321i	−0.179337	−	0.119829i	−0.641999	+	0.766706i	$0.721895\pi$
$180$	2.00815	−	23.9857i	0.149679	−	1.78779i
$181$	−0.427803	−	0.0850953i	−0.0317983	−	0.00632508i	0.179166	−	0.983819i	$-0.442660\pi$
$181$	−0.427803	−	0.0850953i	−0.0317983	−	0.00632508i	−0.210964	+	0.977494i	$0.567660\pi$
$182$	0.267460	+	1.09762i	0.0198255	+	0.0813612i
$183$	4.18674	+	19.6337i	0.309493	+	1.45137i
$184$	3.28473	+	2.53565i	0.242153	+	0.186931i
$185$	−7.32363	+	17.6808i	−0.538444	+	1.29992i
$186$	5.80208	−	16.5979i	0.425429	−	1.21702i
$187$	7.81774	+	11.7001i	0.571690	+	0.855595i
$188$	−6.30088	+	0.538962i	−0.459539	+	0.0393079i
$189$	0.655630	−	1.78799i	0.0476901	−	0.130057i
$190$	−35.8028	−	13.0704i	−2.59741	−	0.948230i
$191$	−8.44165			−0.610817			−0.305408	−	0.952221i	$-0.598793\pi$
$191$	−8.44165			−0.610817			−0.305408	+	0.952221i	$0.598793\pi$
$192$	6.83275	−	12.0546i	0.493111	−	0.869966i
$193$	14.2667			1.02694			0.513468	−	0.858109i	$-0.328360\pi$
$193$	14.2667			1.02694			0.513468	+	0.858109i	$0.328360\pi$
$194$	−13.3982	−	4.89123i	−0.961932	−	0.351170i
$195$	−0.208169	−	15.1434i	−0.0149073	−	1.08444i
$196$	−1.17027	−	13.6814i	−0.0835910	−	0.977242i
$197$	−4.86093	−	7.27490i	−0.346327	−	0.518315i	0.616886	−	0.787052i	$-0.288394\pi$
$197$	−4.86093	−	7.27490i	−0.346327	−	0.518315i	−0.963214	+	0.268737i	$0.913394\pi$
$198$	−8.92840	+	15.6339i	−0.634514	+	1.11105i
$199$	7.01661	−	16.9396i	0.497394	−	1.20082i	−0.453488	−	0.891262i	$-0.649821\pi$
$199$	7.01661	−	16.9396i	0.497394	−	1.20082i	0.950882	−	0.309553i	$-0.100179\pi$
$200$	−4.00495	−	31.1188i	−0.283193	−	2.20043i
$201$	6.57389	−	1.40183i	0.463686	−	0.0988774i
$202$	−0.00920365	−	0.0377706i	−0.000647566	−	0.00265753i
$203$	−0.942759	−	0.187526i	−0.0661687	−	0.0131618i
$204$	1.13622	+	11.4307i	0.0795512	+	0.800306i
$205$	18.7594	+	12.5346i	1.31021	+	0.875457i
$206$	1.15786	−	1.26112i	0.0806716	−	0.0878666i
$207$	−1.79544	−	4.01843i	−0.124792	−	0.279300i
$208$	3.54226	−	7.96656i	0.245612	−	0.552382i
$209$	20.1588	+	20.1588i	1.39441	+	1.39441i
$210$	0.502331	−	3.56618i	0.0346641	−	0.246090i
$211$	−2.22777	−	1.48855i	−0.153366	−	0.102476i	0.476520	−	0.879164i	$-0.341898\pi$
$211$	−2.22777	−	1.48855i	−0.153366	−	0.102476i	−0.629885	+	0.776688i	$0.716898\pi$
$212$	8.28686	−	6.62457i	0.569144	−	0.454977i
$213$	6.17056	+	2.45712i	0.422800	+	0.168359i
$214$	−11.1979	−	6.80992i	−0.765476	−	0.465517i
$215$	−0.687938	−	1.66083i	−0.0469170	−	0.113268i
$216$	−12.4370	+	7.83084i	−0.846228	+	0.532821i
$217$	1.00677	−	2.43055i	0.0683439	−	0.164997i
$218$	−2.93742	−	4.01428i	−0.198947	−	0.271882i
$219$	−14.9856	+	6.44997i	−1.01263	+	0.435848i
$220$	−10.3009	+	32.4510i	−0.694486	+	2.18784i
$221$	1.41006	+	7.08885i	0.0948508	+	0.476847i
$222$	11.3141	−	2.92226i	0.759356	−	0.196130i
$223$	−2.59755			−0.173945			−0.0869723	−	0.996211i	$-0.527719\pi$
$223$	−2.59755			−0.173945			−0.0869723	+	0.996211i	$0.527719\pi$
$224$	1.12241	−	1.74315i	0.0749941	−	0.116469i
$225$	−11.8853	+	31.0840i	−0.792352	+	2.07227i
$226$	−10.9487	−	23.5391i	−0.728299	−	1.56580i
$227$	−5.53623	+	1.10122i	−0.367452	+	0.0730908i	−0.375363	−	0.926878i	$-0.622482\pi$
$227$	−5.53623	+	1.10122i	−0.367452	+	0.0730908i	0.00791067	+	0.999969i	$0.497482\pi$
$228$	6.77571	+	22.2643i	0.448733	+	1.47449i
$229$	−2.89283	−	4.32943i	−0.191164	−	0.286097i	0.723490	−	0.690335i	$-0.242537\pi$
$229$	−2.89283	−	4.32943i	−0.191164	−	0.286097i	−0.914654	+	0.404238i	$0.867537\pi$
$230$	−4.91510	−	6.71698i	−0.324092	−	0.442904i
$231$	−1.46566	+	2.26017i	−0.0964336	+	0.148708i
$232$	4.87490	+	5.59144i	0.320053	+	0.367096i
$233$	25.1634	−	10.4230i	1.64851	−	0.682836i	0.651396	−	0.758738i	$-0.274184\pi$
$233$	25.1634	−	10.4230i	1.64851	−	0.682836i	0.997115	+	0.0759023i	$0.0241837\pi$
$234$	−7.30993	+	5.66396i	−0.477865	+	0.370265i
$235$	12.4407	+	2.47461i	0.811543	+	0.161426i
$236$	15.4115	+	1.71804i	1.00320	+	0.111835i
$237$	4.27586	−	4.39506i	0.277747	−	0.285490i
$238$	0.0733072	+	1.71716i	0.00475180	+	0.111307i
$239$	−17.0796	+	17.0796i	−1.10479	+	1.10479i	−0.110963	+	0.993824i	$0.535394\pi$
$239$	−17.0796	+	17.0796i	−1.10479	+	1.10479i	−0.993824	+	0.110963i	$0.964606\pi$
$240$	−19.8861	+	19.4166i	−1.28364	+	1.25334i
$241$	−12.8300	−	12.8300i	−0.826450	−	0.826450i	0.160574	−	0.987024i	$-0.448666\pi$
$241$	−12.8300	−	12.8300i	−0.826450	−	0.826450i	−0.987024	+	0.160574i	$0.948666\pi$
$242$	6.70227	−	7.30004i	0.430838	−	0.469264i
$243$	15.5517	−	1.07052i	0.997639	−	0.0686741i
$244$	11.1890	−	20.3016i	0.716305	−	1.29968i
$245$	−5.37324	+	27.0131i	−0.343284	+	1.72580i
$246$	−0.776715	−	13.7543i	−0.0495215	−	0.876945i
$247$	5.60375	+	13.5286i	0.356558	+	0.860807i
$248$	−17.6122	+	10.1003i	−1.11838	+	0.641372i
$249$	−2.80260	+	4.32183i	−0.177608	+	0.273885i
$250$	−5.29147	+	34.1592i	−0.334662	+	2.16042i
$251$	3.99447	−	2.66902i	0.252129	−	0.168467i	−0.423083	−	0.906091i	$-0.639052\pi$
$251$	3.99447	−	2.66902i	0.252129	−	0.168467i	0.675212	+	0.737624i	$0.264052\pi$
$252$	−1.92397	+	1.06490i	−0.121199	+	0.0670824i
$253$	1.21457	+	6.10604i	0.0763592	+	0.383884i
$254$	19.1683	+	6.99772i	1.20273	+	0.439076i
$255$	4.18396	−	22.6575i	0.262010	−	1.41887i
$256$	−15.0770	+	5.35570i	−0.942314	+	0.334731i
$257$		−	9.78815i		−	0.610568i	−0.952261	−	0.305284i	$-0.901249\pi$
$257$		−	9.78815i		−	0.610568i	0.952261	−	0.305284i	$-0.0987514\pi$
$258$	−0.557400	+	0.945601i	−0.0347022	+	0.0588706i
$259$	1.71483	−	0.341100i	0.106554	−	0.0211949i
$260$	−11.2668	+	13.3746i	−0.698739	+	0.829457i
$261$	−1.74654	−	7.67183i	−0.108108	−	0.474875i
$262$	21.2981	+	3.29921i	1.31580	+	0.203826i
$263$	−6.98342	−	2.89263i	−0.430616	−	0.178367i	0.156838	−	0.987624i	$-0.449870\pi$
$263$	−6.98342	−	2.89263i	−0.430616	−	0.178367i	−0.587454	+	0.809257i	$0.699870\pi$
$264$	19.6121	−	6.89540i	1.20704	−	0.424383i
$265$	−19.6602	+	8.14354i	−1.20772	+	0.500254i
$266$	0.824377	+	3.38313i	0.0505458	+	0.207433i
$267$	−19.4996	−	7.76472i	−1.19335	−	0.475193i
$268$	−6.79751	−	3.74638i	−0.415224	−	0.228847i
$269$	13.1871	−	19.7359i	0.804034	−	1.20332i	−0.171870	−	0.985120i	$-0.554981\pi$
$269$	13.1871	−	19.7359i	0.804034	−	1.20332i	0.975904	−	0.218202i	$-0.0700190\pi$
$270$	28.3290	−	8.15384i	1.72405	−	0.496227i
$271$	17.2260	−	17.2260i	1.04640	−	1.04640i	0.0475332	−	0.998870i	$-0.484864\pi$
$271$	17.2260	−	17.2260i	1.04640	−	1.04640i	0.998870	−	0.0475332i	$-0.0151360\pi$
$272$	7.64996	−	10.8357i	0.463847	−	0.657011i
$273$	−1.13978	+	0.784451i	−0.0689827	+	0.0474771i
$274$	0.0525917	−	0.00224518i	0.00317718	−	0.000135637i
$275$	26.1524	−	39.1398i	1.57705	−	2.36022i
$276$	−1.47090	+	4.86466i	−0.0885375	+	0.292818i
$277$	−2.48800	+	12.5080i	−0.149489	+	0.751533i	0.831202	+	0.555970i	$0.187653\pi$
$277$	−2.48800	+	12.5080i	−0.149489	+	0.751533i	−0.980691	+	0.195562i	$0.937347\pi$
$278$	−4.63407	−	2.81816i	−0.277933	−	0.169022i
$279$	21.5263	−	0.591936i	1.28875	−	0.0354383i
$280$	−3.13449	+	2.73281i	−0.187322	+	0.163317i
$281$	10.4632	+	4.33399i	0.624181	+	0.258544i	0.672278	−	0.740298i	$-0.265316\pi$
$281$	10.4632	+	4.33399i	0.624181	+	0.258544i	−0.0480973	+	0.998843i	$0.515316\pi$
$282$	−3.36266	−	6.97709i	−0.200244	−	0.415480i
$283$	−19.3945	+	12.9590i	−1.15289	+	0.770333i	−0.976824	−	0.214046i	$-0.931336\pi$
$283$	−19.3945	+	12.9590i	−1.15289	+	0.770333i	−0.176062	+	0.984379i	$0.556336\pi$
$284$	−3.52809	−	6.80957i	−0.209354	−	0.404073i
$285$	−0.641626	−	46.6756i	−0.0380067	−	2.76482i
$286$	11.8604	−	5.51663i	0.701321	−	0.326205i
$287$		−	2.06126i		−	0.121672i
$288$	16.7752	+	2.56764i	0.988488	+	0.151300i
$289$		−	6.00410i		−	0.353182i
$290$	−6.27520	−	13.4913i	−0.368493	−	0.792237i
$291$	−0.240110	−	17.4670i	−0.0140755	−	1.02393i
$292$	17.9557	+	5.69967i	1.05078	+	0.333548i
$293$	14.1470	−	9.45270i	0.826475	−	0.552233i	−0.0688600	−	0.997626i	$-0.521936\pi$
$293$	14.1470	−	9.45270i	0.826475	−	0.552233i	0.895335	+	0.445393i	$0.146936\pi$
$294$	15.1497	−	7.30151i	0.883548	−	0.425832i
$295$	−28.7361	−	11.9029i	−1.67308	−	0.693013i
$296$	−12.0843	−	6.00301i	−0.702385	−	0.348918i
$297$	−21.7853	−	3.40654i	−1.26411	−	0.197667i
$298$	−4.14859	+	6.82177i	−0.240322	+	0.395174i
$299$	−0.623851	+	3.13631i	−0.0360782	+	0.181378i
$300$	33.8732	−	18.1449i	1.95567	−	1.04759i
$301$	−0.0912447	+	0.136557i	−0.00525926	+	0.00787104i
$302$	1.44732	+	33.9022i	0.0832836	+	1.95085i
$303$	0.0392213	−	0.0269939i	0.00225321	−	0.00155076i
$304$	10.9181	−	24.5549i	0.626196	−	1.40832i
$305$	−32.8777	+	32.8777i	−1.88257	+	1.88257i
$306$	−12.5883	+	6.28171i	−0.719628	+	0.359101i
$307$	−0.832524	+	1.24596i	−0.0475146	+	0.0711107i	−0.854466	−	0.519507i	$-0.826116\pi$
$307$	−0.832524	+	1.24596i	−0.0475146	+	0.0711107i	0.806952	+	0.590617i	$0.201116\pi$
$308$	2.98794	−	0.864631i	0.170254	−	0.0492669i
$309$	1.94804	+	0.775710i	0.110820	+	0.0441286i
$310$	39.5658	−	9.64110i	2.24719	−	0.547578i
$311$	−22.5180	+	9.32727i	−1.27688	+	0.528901i	−0.915049	−	0.403343i	$-0.867848\pi$
$311$	−22.5180	+	9.32727i	−1.27688	+	0.528901i	−0.361831	+	0.932244i	$0.617848\pi$
$312$	10.6621	+	0.582828i	0.603624	+	0.0329961i
$313$	5.19710	+	2.15271i	0.293757	+	0.121678i	0.524695	−	0.851290i	$-0.324179\pi$
$313$	5.19710	+	2.15271i	0.293757	+	0.121678i	−0.230938	+	0.972969i	$0.574179\pi$
$314$	−3.15294	+	20.3539i	−0.177931	+	1.14864i
$315$	4.30074	−	0.979088i	0.242319	−	0.0551654i
$316$	−7.05469	+	0.603441i	−0.396857	+	0.0339462i
$317$	18.2362	−	3.62741i	1.02425	−	0.203736i	0.345742	−	0.938330i	$-0.387627\pi$
$317$	18.2362	−	3.62741i	1.02425	−	0.203736i	0.678507	+	0.734594i	$0.262627\pi$
$318$	11.1937	+	6.59829i	0.627710	+	0.370014i
$319$			11.1295i			0.623134i
$320$	32.0357	−	1.91289i	1.79085	−	0.106934i
$321$	2.91482	−	15.7847i	0.162689	−	0.881017i
$322$	−0.260769	+	0.714304i	−0.0145321	+	0.0398066i
$323$	4.34614	+	21.8495i	0.241826	+	1.21574i
$324$	−14.3829	−	10.8228i	−0.799048	−	0.601267i
$325$	20.1038	−	13.4329i	1.11516	−	0.745125i
$326$	−2.95728	−	0.458100i	−0.163788	−	0.0253718i
$327$	3.31468	−	5.11149i	0.183302	−	0.282666i
$328$	−9.72046	+	12.5920i	−0.536722	+	0.695279i
$329$	−0.443476	−	1.07065i	−0.0244496	−	0.0590267i
$330$	−41.6321	+	2.35099i	−2.29177	+	0.129418i
$331$	1.75591	−	8.82758i	0.0965138	−	0.485208i	−0.902050	−	0.431632i	$-0.857938\pi$
$331$	1.75591	−	8.82758i	0.0965138	−	0.485208i	0.998564	−	0.0535760i	$-0.0170619\pi$
$332$	5.71346	−	1.65332i	0.313567	−	0.0907379i
$333$	8.27524	+	11.6767i	0.453480	+	0.639878i
$334$	4.02241	+	3.69303i	0.220097	+	0.202074i
$335$	11.0083	+	11.0083i	0.601448	+	0.601448i
$336$	2.48432	+	0.525083i	0.135531	+	0.0286456i
$337$	−6.70835	+	6.70835i	−0.365427	+	0.365427i	−0.865806	−	0.500379i	$-0.833194\pi$
$337$	−6.70835	+	6.70835i	−0.365427	+	0.365427i	0.500379	+	0.865806i	$0.333194\pi$
$338$	−11.6554	+	0.497580i	−0.633972	+	0.0270648i
$339$	22.1716	−	22.7897i	1.20420	−	1.23776i
$340$	−20.7810	+	16.6125i	−1.12701	+	0.900937i
$341$	−29.8754	−	5.94259i	−1.61784	−	0.321809i
$342$	−22.5309	+	17.4577i	−1.21833	+	0.944004i
$343$	4.69497	−	1.94472i	0.253505	−	0.105005i
$344$	1.20138	−	0.403926i	0.0647742	−	0.0217782i
$345$	5.54634	−	8.55289i	0.298605	−	0.460472i
$346$	22.4743	−	16.4454i	1.20822	−	0.884109i
$347$	4.11240	+	6.15464i	0.220765	+	0.330398i	0.925276	−	0.379295i	$-0.123833\pi$
$347$	4.11240	+	6.15464i	0.220765	+	0.330398i	−0.704511	+	0.709693i	$0.748833\pi$
$348$	−4.27558	+	8.01640i	−0.229195	+	0.429724i
$349$	−27.2302	+	5.41641i	−1.45760	+	0.289934i	−0.859354	−	0.511381i	$-0.829134\pi$
$349$	−27.2302	+	5.41641i	−1.45760	+	0.289934i	−0.598243	+	0.801315i	$0.704134\pi$
$350$	5.21326	−	2.42484i	0.278660	−	0.129613i
$351$	−9.66844	−	5.89870i	−0.516063	−	0.314849i
$352$	−22.3305	−	8.80854i	−1.19022	−	0.469497i
$353$	16.2512			0.864962			0.432481	−	0.901643i	$-0.357638\pi$
$353$	16.2512			0.864962			0.432481	+	0.901643i	$0.357638\pi$
$354$	4.74948	+	18.3886i	0.252432	+	0.977341i
$355$	3.00107	+	15.0874i	0.159281	+	0.800757i
$356$	11.1491	+	21.5189i	0.590902	+	1.14050i
$357$	−1.93351	+	0.832205i	−0.102332	+	0.0440450i
$358$	−3.29343	+	2.40994i	−0.174063	+	0.127370i
$359$	12.2259	−	29.5159i	0.645258	−	1.55779i	−0.174237	−	0.984704i	$-0.555746\pi$
$359$	12.2259	−	29.5159i	0.645258	−	1.55779i	0.819495	−	0.573086i	$-0.194254\pi$
$360$	−30.8900	−	14.3002i	−1.62805	−	0.753688i
$361$	10.0011	+	24.1448i	0.526374	+	1.27078i
$362$	−0.320520	+	0.527049i	−0.0168461	+	0.0277011i
$363$	11.2763	+	4.49021i	0.591851	+	0.235675i
$364$	1.58786	+	0.177011i	0.0832263	+	0.00927790i
$365$	−31.4183	−	20.9931i	−1.64451	−	1.09883i
$366$	28.1130	+	3.95999i	1.46949	+	0.206992i
$367$	16.2016	+	16.2016i	0.845719	+	0.845719i	0.989596	−	0.143877i	$-0.0459568\pi$
$367$	16.2016	+	16.2016i	0.845719	+	0.845719i	−0.143877	+	0.989596i	$0.545957\pi$
$368$	4.96152	−	3.13389i	0.258637	−	0.163365i
$369$	15.4047	−	6.88283i	0.801936	−	0.358306i
$370$	19.9364	+	18.3039i	1.03644	+	0.951574i
$371$	1.61651	+	1.08012i	0.0839252	+	0.0560770i
$372$	−19.2358	−	15.7574i	−0.997329	−	0.816984i
$373$	−4.50225	−	0.895553i	−0.233118	−	0.0463700i	0.0771490	−	0.997020i	$-0.475418\pi$
$373$	−4.50225	−	0.895553i	−0.233118	−	0.0463700i	−0.310267	+	0.950650i	$0.600418\pi$
$374$	19.3345	−	4.71128i	0.999762	−	0.243614i
$375$	−41.4044	+	8.82916i	−2.13812	+	0.455936i
$376$	−2.33979	+	8.63183i	−0.120665	+	0.445153i
$377$	−2.18764	+	5.28143i	−0.112669	+	0.272008i
$378$	−2.05730	−	1.73811i	−0.105816	−	0.0893986i
$379$	−15.3580	−	22.9849i	−0.788888	−	1.18065i	−0.979983	−	0.199082i	$-0.936204\pi$
$379$	−15.3580	−	22.9849i	−0.788888	−	1.18065i	0.191095	−	0.981572i	$-0.438796\pi$
$380$	−34.7270	+	41.2237i	−1.78146	+	2.11473i
$381$	0.343517	+	24.9894i	0.0175989	+	1.28025i
$382$	−4.09400	+	11.2144i	−0.209467	+	0.573777i
$383$	1.94291			0.0992783			0.0496391	−	0.998767i	$-0.484193\pi$
$383$	1.94291			0.0992783			0.0496391	+	0.998767i	$0.484193\pi$
$384$	−12.7003	−	14.9232i	−0.648110	−	0.761547i
$385$	−6.23909			−0.317973
$386$	6.91899	−	18.9526i	0.352167	−	0.964664i
$387$	−1.32523	−	0.225928i	−0.0673654	−	0.0114846i
$388$	−12.9956	+	15.4268i	−0.659750	+	0.783175i
$389$	−12.6774	−	18.9731i	−0.642771	−	0.961974i	−0.999613	−	0.0278098i	$-0.991147\pi$
$389$	−12.6774	−	18.9731i	−0.642771	−	0.961974i	0.356843	−	0.934165i	$-0.383853\pi$
$390$	−20.2183	−	7.06764i	−1.02379	−	0.357884i
$391$	−1.86172	+	4.49459i	−0.0941511	+	0.227301i
$392$	−18.7427	−	5.08049i	−0.946649	−	0.256603i
$393$	5.50494	+	25.8155i	0.277688	+	1.30222i
$394$	−12.0218	+	2.92939i	−0.605651	+	0.147580i
$395$	13.9291	+	2.77066i	0.700847	+	0.139407i
$396$	16.4389	+	19.4431i	0.826087	+	0.977051i
$397$	−23.7866	−	15.8937i	−1.19382	−	0.797682i	−0.210147	−	0.977670i	$-0.567394\pi$
$397$	−23.7866	−	15.8937i	−1.19382	−	0.797682i	−0.983669	+	0.179988i	$0.942394\pi$
$398$	−19.1006	−	17.5366i	−0.957428	−	0.879028i
$399$	−3.51308	+	2.41787i	−0.175874	+	0.121045i
$400$	−43.2824	−	9.77149i	−2.16412	−	0.488575i
$401$	−22.2618	−	22.2618i	−1.11170	−	1.11170i	−0.992920	−	0.118783i	$-0.962101\pi$
$401$	−22.2618	−	22.2618i	−1.11170	−	1.11170i	−0.118783	−	0.992920i	$-0.537899\pi$
$402$	1.32591	−	9.41298i	0.0661303	−	0.469477i
$403$	−13.0090	−	8.69237i	−0.648027	−	0.432998i
$404$	−0.0546401	−	0.00609117i	−0.00271845	−	0.000303047i
$405$	21.6779	+	28.8720i	1.07719	+	1.43466i
$406$	−0.706337	+	1.16147i	−0.0350549	+	0.0576428i
$407$	−7.74705	−	18.7030i	−0.384007	−	0.927074i
$408$	15.7362	+	4.03418i	0.779057	+	0.199721i
$409$	0.669404	−	1.61609i	0.0330999	−	0.0799103i	−0.906465	−	0.422281i	$-0.861230\pi$
$409$	0.669404	−	1.61609i	0.0330999	−	0.0799103i	0.939565	+	0.342370i	$0.111230\pi$
$410$	25.7496	−	18.8421i	1.27168	−	0.930544i
$411$	0.0254880	+	0.0592178i	0.00125723	+	0.00292100i
$412$	−1.11382	−	2.14978i	−0.0548738	−	0.105912i
$413$	0.554381	+	2.78706i	0.0272793	+	0.137142i
$414$	−6.20905	+	0.436320i	−0.305158	+	0.0214440i
$415$	−11.9302			−0.585631
$416$	−8.86533	−	8.56934i	−0.434658	−	0.420146i
$417$	1.20625	−	6.53222i	0.0590701	−	0.319884i
$418$	36.5566	−	17.0036i	1.78804	−	0.831672i
$419$	−18.8136	+	3.74226i	−0.919106	+	0.182821i	−0.631902	−	0.775048i	$-0.717726\pi$
$419$	−18.8136	+	3.74226i	−0.919106	+	0.182821i	−0.287203	+	0.957870i	$0.592726\pi$
$420$	−4.49390	−	2.39684i	−0.219280	−	0.116954i
$421$	9.60096	+	14.3688i	0.467922	+	0.700295i	0.988109	−	0.153758i	$-0.0491376\pi$
$421$	9.60096	+	14.3688i	0.467922	+	0.700295i	−0.520187	+	0.854053i	$0.674138\pi$
$422$	−3.05789	+	2.23758i	−0.148856	+	0.108924i
$423$	6.52058	−	6.88933i	0.317042	−	0.334971i
$424$	−4.78152	−	14.2215i	−0.232211	−	0.690657i
$425$	33.9842	−	14.0767i	1.64847	−	0.682820i
$426$	6.25675	−	7.00568i	0.303140	−	0.339426i
$427$	4.16629	+	0.828726i	0.201621	+	0.0401049i
$428$	−14.4774	+	11.5733i	−0.699793	+	0.559419i
$429$	11.4828	+	11.1714i	0.554394	+	0.539359i
$430$	−2.53997	+	0.108434i	−0.122488	+	0.00522913i
$431$	−18.2671	+	18.2671i	−0.879896	+	0.879896i	−0.993523	−	0.113628i	$-0.963753\pi$
$431$	−18.2671	+	18.2671i	−0.879896	+	0.879896i	0.113628	+	0.993523i	$0.463753\pi$
$432$	4.37131	+	20.3197i	0.210315	+	0.977634i
$433$	17.2171	+	17.2171i	0.827401	+	0.827401i	0.987157	−	0.159755i	$-0.0510706\pi$
$433$	17.2171	+	17.2171i	0.827401	+	0.827401i	−0.159755	+	0.987157i	$0.551071\pi$
$434$	−2.74063	−	2.51621i	−0.131554	−	0.120782i
$435$	12.7075	−	13.0618i	0.609279	−	0.626263i
$436$	−6.75738	+	1.95541i	−0.323620	+	0.0936471i
$437$	−1.92286	+	9.66686i	−0.0919828	+	0.462429i
$438$	1.30084	+	23.0358i	0.0621568	+	1.10069i
$439$	1.63353	+	3.94370i	0.0779643	+	0.188222i	0.958056	−	0.286582i	$-0.0925189\pi$
$439$	1.63353	+	3.94370i	0.0779643	+	0.188222i	−0.880092	+	0.474804i	$0.842519\pi$
$440$	38.1141	+	29.4222i	1.81702	+	1.40265i
$441$	14.9591	+	14.1585i	0.712340	+	0.674212i
$442$	10.1011	+	1.56472i	0.480459	+	0.0744260i
$443$	19.6650	−	13.1397i	0.934310	−	0.624286i	0.00756283	−	0.999971i	$-0.497593\pi$
$443$	19.6650	−	13.1397i	0.934310	−	0.624286i	0.926747	+	0.375685i	$0.122593\pi$
$444$	1.60499	−	16.4476i	0.0761693	−	0.780568i
$445$	−9.48369	−	47.6777i	−0.449570	−	2.26014i
$446$	−1.25975	+	3.45073i	−0.0596508	+	0.163397i
$447$	−9.61602	−	1.77570i	−0.454822	−	0.0839879i
$448$	−1.77136	−	2.33646i	−0.0836887	−	0.110387i
$449$			14.1363i			0.667131i	0.942727	+	0.333565i	$0.108252\pi$
$449$			14.1363i			0.667131i	−0.942727	+	0.333565i	$0.891748\pi$
$450$	35.5297	+	30.8641i	1.67489	+	1.45495i
$451$	−23.4076	+	4.65606i	−1.10222	+	0.219245i
$452$	−36.5806	+	3.12902i	−1.72061	+	0.147177i
$453$	−38.1736	+	16.4303i	−1.79355	+	0.771965i
$454$	−1.22201	+	7.88871i	−0.0573517	+	0.370235i
$455$	−2.96071	−	1.22637i	−0.138800	−	0.0574929i
$456$	32.8632	+	1.79641i	1.53896	+	0.0841248i
$457$	14.2104	−	5.88613i	0.664733	−	0.275342i	−0.0246955	−	0.999695i	$-0.507862\pi$
$457$	14.2104	−	5.88613i	0.664733	−	0.275342i	0.689429	+	0.724353i	$0.257862\pi$
$458$	−7.15441	+	1.74333i	−0.334304	+	0.0814606i
$459$	−12.6757	−	11.6711i	−0.591651	−	0.544763i
$460$	−11.3069	+	3.27192i	−0.527188	+	0.152554i
$461$	−12.6297	+	18.9017i	−0.588225	+	0.880341i	−0.999514	−	0.0311642i	$-0.990079\pi$
$461$	−12.6297	+	18.9017i	−0.588225	+	0.880341i	0.411289	+	0.911505i	$0.365079\pi$
$462$	2.29172	+	3.04320i	0.106621	+	0.141582i
$463$	−14.7383	+	14.7383i	−0.684947	+	0.684947i	−0.961111	−	0.276164i	$-0.910937\pi$
$463$	−14.7383	+	14.7383i	−0.684947	+	0.684947i	0.276164	+	0.961111i	$0.410937\pi$
$464$	9.79219	−	3.76438i	0.454591	−	0.174757i
$465$	28.2770	+	41.0855i	1.31131	+	1.90530i
$466$	−1.64289	−	38.4835i	−0.0761055	−	1.78271i
$467$	−13.2315	+	19.8024i	−0.612282	+	0.916344i	−0.999985	−	0.00543998i	$-0.998268\pi$
$467$	−13.2315	+	19.8024i	−0.612282	+	0.916344i	0.387704	+	0.921784i	$0.373268\pi$
$468$	3.97919	+	12.4578i	0.183938	+	0.575863i
$469$	0.277479	−	1.39498i	0.0128128	−	0.0644143i
$470$	9.32086	−	15.3268i	0.429939	−	0.706974i
$471$	−24.6710	+	5.26089i	−1.13678	+	0.242409i
$472$	9.75653	−	19.6403i	0.449081	−	0.904016i
$473$	1.75685	+	0.727711i	0.0807800	+	0.0334602i
$474$	−3.76496	−	7.81180i	−0.172930	−	0.358808i
$475$	61.9647	−	41.4035i	2.84314	−	1.89972i
$476$	2.31673	+	0.735398i	0.106187	+	0.0337069i
$477$	−2.67445	+	15.6876i	−0.122455	+	0.718286i
$478$	14.4063	+	30.9727i	0.658930	+	1.41666i
$479$		−	1.01380i		−	0.0463216i	−0.999732	−	0.0231608i	$-0.992627\pi$
$479$		−	1.01380i		−	0.0463216i	0.999732	−	0.0231608i	$-0.00737297\pi$
$480$	16.1499	+	35.8344i	0.737137	+	1.63561i
$481$		−	10.3981i		−	0.474114i
$482$	−23.2663	+	10.8218i	−1.05975	+	0.492921i
$483$	−0.931226	+	0.0128011i	−0.0423723	+	0.000582471i
$484$	−6.44735	−	12.4440i	−0.293061	−	0.565637i
$485$	33.6404	−	22.4778i	1.52753	−	1.02066i
$486$	6.12004	−	21.1789i	0.277610	−	0.960694i
$487$	25.3253	+	10.4901i	1.14760	+	0.475352i	0.873728	−	0.486415i	$-0.161696\pi$
$487$	25.3253	+	10.4901i	1.14760	+	0.475352i	0.273872	+	0.961766i	$0.411696\pi$
$488$	−21.5434	−	24.7100i	−0.975224	−	1.11857i
$489$	−0.764369	−	3.58451i	−0.0345660	−	0.162097i
$490$	33.2799	+	20.2388i	1.50343	+	0.914297i
$491$	2.91875	−	14.6735i	0.131721	−	0.662207i	−0.857346	−	0.514741i	$-0.827888\pi$
$491$	2.91875	−	14.6735i	0.131721	−	0.662207i	0.989067	−	0.147466i	$-0.0471119\pi$
$492$	−18.6487	−	5.63869i	−0.840750	−	0.254212i
$493$	−4.83175	+	7.23123i	−0.217611	+	0.325678i
$494$	20.6899	−	0.883270i	0.930883	−	0.0397402i
$495$	−20.8332	−	46.6275i	−0.936382	−	2.09575i
$496$	4.87634	+	28.2955i	0.218954	+	1.27051i
$497$	0.993769	−	0.993769i	0.0445766	−	0.0445766i
$498$	4.38217	+	5.81912i	0.196370	+	0.260761i
$499$	−19.0969	+	28.5805i	−0.854894	+	1.27944i	0.103685	+	0.994610i	$0.466937\pi$
$499$	−19.0969	+	28.5805i	−0.854894	+	1.27944i	−0.958579	+	0.284828i	$0.908063\pi$
$500$	42.8129	+	23.5959i	1.91465	+	1.05524i
$501$	−2.47416	+	6.21337i	−0.110537	+	0.277593i
$502$	−1.60846	−	6.60089i	−0.0717889	−	0.294612i
$503$	18.0858	−	7.49138i	0.806406	−	0.334024i	0.0588869	−	0.998265i	$-0.481245\pi$
$503$	18.0858	−	7.49138i	0.806406	−	0.334024i	0.747519	+	0.664240i	$0.231245\pi$
$504$	0.481597	+	3.07236i	0.0214520	+	0.136854i
$505$	0.101882	+	0.0422008i	0.00453368	+	0.00187791i
$506$	8.70065	+	1.34778i	0.386791	+	0.0599163i
$507$	−5.64868	−	13.1239i	−0.250867	−	0.582854i
$508$	18.5923	−	22.0706i	0.824902	−	0.979222i
$509$	−28.6563	+	5.70009i	−1.27017	+	0.252652i	−0.783751	−	0.621075i	$-0.786696\pi$
$509$	−28.6563	+	5.70009i	−1.27017	+	0.252652i	−0.486417	+	0.873727i	$0.661696\pi$
$510$	−28.0704	−	16.5466i	−1.24298	−	0.732694i
$511$			3.45220i			0.152716i
$512$	−0.197181	+	22.6266i	−0.00871427	+	0.999962i
$513$	−29.8004	−	18.1812i	−1.31572	−	0.802720i
$514$	−13.0031	−	4.74702i	−0.573544	−	0.209382i
$515$	0.947437	+	4.76309i	0.0417491	+	0.209887i
$516$	0.985865	+	1.19908i	0.0434003	+	0.0527864i
$517$	−11.1565	+	7.45453i	−0.490662	+	0.327850i
$518$	0.378513	−	2.44350i	0.0166309	−	0.107361i
$519$	28.6170	+	18.5575i	1.25615	+	0.814582i
$520$	12.3034	+	21.4538i	0.539541	+	0.940813i
$521$	−13.5271	−	32.6574i	−0.592634	−	1.43074i	−0.880950	−	0.473209i	$-0.843095\pi$
$521$	−13.5271	−	32.6574i	−0.592634	−	1.43074i	0.288316	−	0.957535i	$-0.406905\pi$
$522$	−11.0387	−	1.40046i	−0.483152	−	0.0612963i
$523$	1.35913	−	6.83280i	0.0594305	−	0.298778i	−0.939626	−	0.342203i	$-0.888827\pi$
$523$	1.35913	−	6.83280i	0.0594305	−	0.298778i	0.999057	+	0.0434252i	$0.0138270\pi$
$524$	14.7119	−	26.6936i	0.642694	−	1.16612i
$525$	5.04727	+	4.91039i	0.220281	+	0.214307i
$526$	−7.22952	+	7.87432i	−0.315222	+	0.343336i
$527$	−16.8311	−	16.8311i	−0.733176	−	0.733176i
$528$	0.351146	−	29.3979i	0.0152817	−	1.27938i
$529$	14.7415	−	14.7415i	0.640935	−	0.640935i
$530$	1.28360	+	30.0672i	0.0557558	+	1.30604i
$531$	−18.9778	+	13.4495i	−0.823565	+	0.583659i
$532$	4.89415	+	0.545590i	0.212188	+	0.0236543i
$533$	−12.0231	−	2.39154i	−0.520777	−	0.103589i
$534$	−19.7719	+	22.1386i	−0.855615	+	0.958032i
$535$	34.3471	−	14.2270i	1.48496	−	0.615089i
$536$	−8.27354	+	7.21329i	−0.357362	+	0.311567i
$537$	−4.19361	−	2.71945i	−0.180968	−	0.117353i
$538$	−19.8229	−	27.0900i	−0.854626	−	1.16793i
$539$	−16.1864	−	24.2246i	−0.697196	−	1.04343i
$540$	2.90686	−	41.5883i	0.125091	−	1.78967i
$541$	27.1068	−	5.39188i	1.16541	−	0.231815i	0.425781	−	0.904826i	$-0.359999\pi$
$541$	27.1068	−	5.39188i	1.16541	−	0.231815i	0.739632	+	0.673011i	$0.234999\pi$
$542$	−14.5298	−	31.2381i	−0.624107	−	1.34179i
$543$	−0.742932	−	0.137191i	−0.0318823	−	0.00588741i
$544$	−10.6847	−	15.4177i	−0.458104	−	0.661028i
$545$	14.1100			0.604407
$546$	0.489343	+	1.89459i	0.0209419	+	0.0810810i
$547$	3.30956	+	16.6383i	0.141507	+	0.711402i	0.984765	+	0.173893i	$0.0556346\pi$
$547$	3.30956	+	16.6383i	0.141507	+	0.711402i	−0.843258	+	0.537509i	$0.819365\pi$
$548$	0.0225231	−	0.0709547i	0.000962138	−	0.00303103i
$549$	7.71838	+	33.9037i	0.329413	+	1.44698i
$550$	−39.3123	−	53.7242i	−1.67628	−	2.29081i
$551$	−6.74283	+	16.2786i	−0.287254	+	0.693493i
$552$	5.74915	+	4.31327i	0.244700	+	0.183585i
$553$	−0.496532	−	1.19873i	−0.0211147	−	0.0509754i
$554$	15.4097	+	9.37128i	0.654696	+	0.398147i
$555$	−12.2628	+	30.7955i	−0.520526	+	1.30720i
$556$	−5.99122	+	4.78942i	−0.254084	+	0.203117i
$557$	20.6452	+	13.7947i	0.874765	+	0.584499i	0.909874	−	0.414884i	$-0.136178\pi$
$557$	20.6452	+	13.7947i	0.874765	+	0.584499i	−0.0351095	+	0.999383i	$0.511178\pi$
$558$	9.65339	−	28.8839i	0.408661	−	1.22275i
$559$	0.690658	+	0.690658i	0.0292117	+	0.0292117i
$560$	2.11027	+	5.48939i	0.0891751	+	0.231969i
$561$	13.8180	+	20.0771i	0.583396	+	0.847656i
$562$	10.8319	−	11.7980i	0.456917	−	0.497669i
$563$	9.92024	+	6.62849i	0.418088	+	0.279358i	0.746769	−	0.665083i	$-0.231604\pi$
$563$	9.92024	+	6.62849i	0.418088	+	0.279358i	−0.328681	+	0.944441i	$0.606604\pi$
$564$	−10.8996	+	1.08343i	−0.458955	+	0.0456206i
$565$	72.2262	+	14.3667i	3.03858	+	0.604411i
$566$	7.80961	+	32.0496i	0.328262	+	1.34715i
$567$	1.09291	−	3.11220i	0.0458979	−	0.130700i
$568$	−10.7573	+	1.38444i	−0.451364	+	0.0580899i
$569$	−4.82694	+	11.6533i	−0.202356	+	0.488530i	−0.992182	−	0.124801i	$-0.960171\pi$
$569$	−4.82694	+	11.6533i	−0.202356	+	0.488530i	0.789826	+	0.613331i	$0.210171\pi$
$570$	−62.3177	−	21.7842i	−2.61020	−	0.912438i
$571$	8.09501	+	12.1150i	0.338765	+	0.506998i	0.961266	−	0.275621i	$-0.0888833\pi$
$571$	8.09501	+	12.1150i	0.338765	+	0.506998i	−0.622501	+	0.782619i	$0.713883\pi$
$572$	−1.57659	−	18.4315i	−0.0659203	−	0.770659i
$573$	−14.6200	+	0.200974i	−0.610759	+	0.00839581i
$574$	−2.73829	−	0.999660i	−0.114294	−	0.0417250i
$575$	16.2744			0.678689
$576$	11.5466	−	21.0399i	0.481107	−	0.876662i
$577$	−20.9086			−0.870436			−0.435218	−	0.900325i	$-0.643329\pi$
$577$	−20.9086			−0.870436			−0.435218	+	0.900325i	$0.643329\pi$
$578$	−7.97619	−	2.91184i	−0.331766	−	0.121117i
$579$	24.7082	−	0.339652i	1.02684	−	0.0141155i
$580$	−20.9659	+	1.79338i	−0.870563	+	0.0744659i
$581$	0.605545	+	0.906263i	0.0251223	+	0.0375981i
$582$	−23.3206	−	8.15208i	−0.966668	−	0.337915i
$583$	8.61436	−	20.7969i	0.356770	−	0.861320i
$584$	16.2799	−	21.0892i	0.673665	−	0.872677i
$585$	−0.721050	−	26.2217i	−0.0298117	−	1.08413i
$586$	−5.69657	−	23.3780i	−0.235323	−	0.965735i
$587$	23.8495	+	4.74395i	0.984372	+	0.195804i	0.660933	−	0.750445i	$-0.270161\pi$
$587$	23.8495	+	4.74395i	0.984372	+	0.195804i	0.323439	+	0.946249i	$0.395161\pi$
$588$	−2.35250	−	23.6668i	−0.0970155	−	0.976001i
$589$	−40.0970	−	26.7920i	−1.65217	−	1.10394i
$590$	−29.7488	+	32.4021i	−1.22474	+	1.33397i
$591$	−8.59178	−	12.4836i	−0.353419	−	0.513506i
$592$	−13.8353	+	13.1421i	−0.568628	+	0.540138i
$593$	11.8849	+	11.8849i	0.488055	+	0.488055i	0.907692	−	0.419637i	$-0.137843\pi$
$593$	11.8849	+	11.8849i	0.488055	+	0.488055i	−0.419637	+	0.907692i	$0.637843\pi$
$594$	−15.0908	+	27.2887i	−0.619182	+	1.11967i
$595$	−4.05374	−	2.70862i	−0.166187	−	0.111043i
$596$	7.05046	+	8.81962i	0.288798	+	0.361266i
$597$	11.7487	−	29.5045i	0.480842	−	1.20754i
$598$	3.86390	+	2.34979i	0.158007	+	0.0960902i
$599$	15.2586	+	36.8376i	0.623451	+	1.50514i	0.847626	+	0.530595i	$0.178031\pi$
$599$	15.2586	+	36.8376i	0.623451	+	1.50514i	−0.224174	+	0.974549i	$0.571969\pi$
$600$	−7.67698	−	53.7990i	−0.313411	−	2.19633i
$601$	−12.5646	+	30.3336i	−0.512520	+	1.23733i	0.429893	+	0.902880i	$0.358551\pi$
$601$	−12.5646	+	30.3336i	−0.512520	+	1.23733i	−0.942413	+	0.334452i	$0.891449\pi$
$602$	0.137159	+	0.187442i	0.00559019	+	0.00763956i
$603$	11.3519	−	2.58432i	0.462283	−	0.105241i
$604$	45.7396	+	14.5191i	1.86112	+	0.590772i
$605$	5.48426	+	27.5712i	0.222967	+	1.12093i
$606$	−0.0168389	−	0.0651952i	−0.000684033	−	0.00264838i
$607$	31.1174			1.26302			0.631509	−	0.775369i	$-0.282436\pi$
$607$	31.1174			1.26302			0.631509	+	0.775369i	$0.282436\pi$
$608$	−27.3251	−	26.4128i	−1.10818	−	1.07118i
$609$	−1.63722	−	0.302330i	−0.0663434	−	0.0122510i
$610$	27.7317	+	59.6214i	1.12282	+	2.41400i
$611$	−6.75949	+	1.34455i	−0.273460	+	0.0543945i
$612$	2.23994	+	19.7696i	0.0905441	+	0.799137i
$613$	0.293500	+	0.439254i	0.0118544	+	0.0177413i	0.837349	−	0.546668i	$-0.184104\pi$
$613$	0.293500	+	0.439254i	0.0118544	+	0.0177413i	−0.825495	+	0.564409i	$0.809104\pi$
$614$	1.25145	+	1.71023i	0.0505044	+	0.0690194i
$615$	32.7876	+	21.2620i	1.32212	+	0.857365i
$616$	0.300454	−	4.38868i	0.0121057	−	0.176825i
$617$	−31.0290	+	12.8526i	−1.24918	+	0.517427i	−0.906572	−	0.422051i	$-0.861310\pi$
$617$	−31.0290	+	12.8526i	−1.24918	+	0.517427i	−0.342608	+	0.939478i	$0.611310\pi$
$618$	1.97525	−	2.21169i	0.0794562	−	0.0889672i
$619$	−5.40007	−	1.07414i	−0.217047	−	0.0431734i	0.0853687	−	0.996349i	$-0.472793\pi$
$619$	−5.40007	−	1.07414i	−0.217047	−	0.0431734i	−0.302416	+	0.953176i	$0.597793\pi$
$620$	6.38069	−	57.2372i	0.256255	−	2.29870i
$621$	−3.20516	−	6.91672i	−0.128619	−	0.277558i
$622$	1.47018	+	34.4377i	0.0589487	+	1.38083i
$623$	−3.14041	+	3.14041i	−0.125818	+	0.125818i
$624$	5.94514	−	13.8815i	0.237996	−	0.555706i
$625$	−30.1144	−	30.1144i	−1.20458	−	1.20458i
$626$	5.38025	−	5.86011i	0.215038	−	0.234217i
$627$	35.3927	+	34.4328i	1.41345	+	1.37512i
$628$	25.5102	+	14.0597i	1.01797	+	0.561044i
$629$	3.08618	−	15.5153i	0.123054	−	0.618634i
$630$	0.785079	−	6.18818i	0.0312783	−	0.246543i
$631$	−10.9902	−	26.5328i	−0.437514	−	1.05625i	−0.976805	−	0.214133i	$-0.931307\pi$
$631$	−10.9902	−	26.5328i	−0.437514	−	1.05625i	0.539290	−	0.842120i	$-0.318693\pi$
$632$	−2.61971	+	9.66450i	−0.104206	+	0.384433i
$633$	−3.89368	−	2.52496i	−0.154760	−	0.100358i
$634$	4.02527	−	25.9853i	0.159864	−	1.03201i
$635$	−48.1283	+	32.1583i	−1.90991	+	1.27616i
$636$	14.1942	−	11.6703i	0.562837	−	0.462757i
$637$	−2.91948	−	14.6772i	−0.115674	−	0.581532i
$638$	14.7851	+	5.39756i	0.585348	+	0.213691i
$639$	10.7452	+	4.10854i	0.425074	+	0.162531i
$640$	12.9954	−	43.4858i	0.513687	−	1.71893i
$641$			8.16041i			0.322317i	0.986929	+	0.161158i	$0.0515230\pi$
$641$			8.16041i			0.322317i	−0.986929	+	0.161158i	$0.948477\pi$
$642$	−19.5557	−	11.5274i	−0.771802	−	0.454951i
$643$	−7.56760	+	1.50529i	−0.298437	+	0.0593628i	−0.342038	−	0.939686i	$-0.611117\pi$
$643$	−7.56760	+	1.50529i	−0.298437	+	0.0593628i	0.0436007	+	0.999049i	$0.486117\pi$
$644$	0.822456	+	0.692841i	0.0324093	+	0.0273018i
$645$	−1.23097	−	2.85999i	−0.0484694	−	0.112612i
$646$	31.1339	+	4.82283i	1.22495	+	0.189752i
$647$	−9.49957	−	3.93485i	−0.373466	−	0.154695i	0.188052	−	0.982159i	$-0.439783\pi$
$647$	−9.49957	−	3.93485i	−0.373466	−	0.154695i	−0.561518	+	0.827464i	$0.689783\pi$
$648$	−21.3530	+	13.8582i	−0.838824	+	0.544402i
$649$	30.3975	−	12.5911i	1.19321	−	0.494242i
$650$	−8.09521	−	33.2217i	−0.317520	−	1.30306i
$651$	1.68574	−	4.23341i	0.0660695	−	0.165920i
$652$	−2.04277	+	3.70645i	−0.0800012	+	0.145156i
$653$	3.56357	−	5.33326i	0.139453	−	0.208707i	−0.755169	−	0.655531i	$-0.772445\pi$
$653$	3.56357	−	5.33326i	0.139453	−	0.208707i	0.894622	+	0.446824i	$0.147445\pi$
$654$	−5.18285	−	6.88235i	−0.202666	−	0.269121i
$655$	−43.2293	+	43.2293i	−1.68911	+	1.68911i
$656$	12.0138	+	19.0200i	0.469060	+	0.742608i
$657$	−25.7998	+	11.5274i	−1.00655	+	0.449726i
$658$	−1.63738	+	0.0699013i	−0.0638318	+	0.00272504i
$659$	3.09503	−	4.63204i	0.120565	−	0.180439i	−0.766278	−	0.642509i	$-0.777893\pi$
$659$	3.09503	−	4.63204i	0.120565	−	0.180439i	0.886843	+	0.462071i	$0.152893\pi$
$660$	−17.0674	+	56.4467i	−0.664348	+	2.19718i
$661$	0.0949033	−	0.477111i	0.00369131	−	0.0185575i	−0.978896	−	0.204360i	$-0.934489\pi$
$661$	0.0949033	−	0.477111i	0.00369131	−	0.0185575i	0.982587	+	0.185803i	$0.0594886\pi$
$662$	−10.8755	−	6.61382i	−0.422688	−	0.257053i
$663$	2.61083	+	12.2435i	0.101396	+	0.475499i
$664$	0.574521	−	8.39191i	0.0222957	−	0.325669i
$665$	−9.12561	−	3.77995i	−0.353876	−	0.146580i
$666$	19.5253	−	5.33039i	0.756588	−	0.206548i
$667$	−3.19930	+	2.13771i	−0.123877	+	0.0827723i
$668$	6.85681	−	3.55257i	0.265298	−	0.137453i
$669$	−4.49866	+	0.0618409i	−0.173928	+	0.00239091i
$670$	19.9628	−	9.28529i	0.771231	−	0.358722i
$671$		−	49.1842i		−	1.89874i
$672$	1.90239	−	3.04566i	0.0733861	−	0.117489i
$673$		−	29.3484i		−	1.13130i	−0.824646	−	0.565649i	$-0.808626\pi$
$673$		−	29.3484i		−	1.13130i	0.824646	−	0.565649i	$-0.191374\pi$
$674$	5.65837	+	12.1651i	0.217952	+	0.468584i
$675$	−19.8439	+	54.1169i	−0.763794	+	2.08296i
$676$	−4.99159	+	15.7250i	−0.191984	+	0.604810i
$677$	2.15349	−	1.43892i	0.0827654	−	0.0553021i	−0.513499	−	0.858090i	$-0.671651\pi$
$677$	2.15349	−	1.43892i	0.0827654	−	0.0553021i	0.596264	+	0.802788i	$0.296651\pi$
$678$	−19.5224	−	40.5064i	−0.749753	−	1.55564i
$679$	−3.41499	−	1.41454i	−0.131055	−	0.0542849i
$680$	11.9907	+	35.6633i	0.459820	+	1.36763i
$681$	−9.56190	+	2.03900i	−0.366413	+	0.0781346i
$682$	−22.3833	+	36.8062i	−0.857102	+	1.40938i
$683$	6.25649	−	31.4535i	0.239398	−	1.20353i	−0.654779	−	0.755821i	$-0.727238\pi$
$683$	6.25649	−	31.4535i	0.239398	−	1.20353i	0.894177	−	0.447714i	$-0.147762\pi$
$684$	12.2648	+	38.3980i	0.468957	+	1.46818i
$685$	−0.0829571	+	0.124154i	−0.00316963	+	0.00474369i
$686$	−0.306530	−	7.18021i	−0.0117034	−	0.274142i
$687$	−5.11313	−	7.42921i	−0.195078	−	0.283442i
$688$	0.0460429	−	1.79188i	0.00175537	−	0.0683148i
$689$	8.17575	−	8.17575i	0.311471	−	0.311471i
$690$	−8.67231	−	11.5160i	−0.330149	−	0.438408i
$691$	−24.0652	+	36.0161i	−0.915482	+	1.37012i	0.0134670	+	0.999909i	$0.495713\pi$
$691$	−24.0652	+	36.0161i	−0.915482	+	1.37012i	−0.928949	+	0.370207i	$0.879287\pi$
$692$	−10.9475	−	37.8317i	−0.416161	−	1.43815i
$693$	−2.48456	+	3.94925i	−0.0943805	+	0.150020i
$694$	10.1706	−	2.47829i	0.386070	−	0.0940747i
$695$	14.2139	−	5.88760i	0.539165	−	0.223330i
$696$	8.57589	+	9.56768i	0.325068	+	0.362662i
$697$	−17.2300	−	7.13691i	−0.652634	−	0.270330i
$698$	−6.01050	+	38.8009i	−0.227501	+	1.46864i
$699$	43.3321	−	18.6506i	1.63897	−	0.705430i
$700$	−0.692990	−	8.10157i	−0.0261925	−	0.306211i
$701$	44.5050	−	8.85259i	1.68093	−	0.334358i	0.739909	−	0.672707i	$-0.234868\pi$
$701$	44.5050	−	8.85259i	1.68093	−	0.334358i	0.941021	+	0.338349i	$0.109868\pi$
$702$	−12.5251	+	9.98338i	−0.472730	+	0.376798i
$703$		−	32.0496i		−	1.20877i
$704$	−22.5315	+	25.3932i	−0.849189	+	0.957041i
$705$	21.6048	+	3.98957i	0.813685	+	0.150256i
$706$	7.88142	−	21.5890i	0.296621	−	0.812512i
$707$	−0.00196551	−	0.00988131i	−7.39208e−5	−	0.000371625i
$708$	26.7318	+	2.60854i	1.00464	+	0.0980350i
$709$	−3.89531	+	2.60276i	−0.146291	+	0.0977487i	−0.626562	−	0.779372i	$-0.715538\pi$
$709$	−3.89531	+	2.60276i	−0.146291	+	0.0977487i	0.480271	+	0.877120i	$0.340538\pi$
$710$	21.4984	+	3.33024i	0.806822	+	0.124982i
$711$	7.30068	−	7.71354i	0.273797	−	0.289280i
$712$	33.9940	−	4.37497i	1.27398	−	0.163959i
$713$	−4.03006	−	9.72942i	−0.150927	−	0.364370i
$714$	0.167841	+	2.97219i	0.00628130	+	0.111231i
$715$	−7.23880	+	36.3919i	−0.270716	+	1.36098i
$716$	1.60427	+	5.54395i	0.0599545	+	0.207187i
$717$	−29.1733	+	29.9866i	−1.08950	+	1.11987i
$718$	−33.2813	−	30.5561i	−1.24205	−	1.14034i
$719$	25.9326	+	25.9326i	0.967123	+	0.967123i	0.999476	−	0.0323536i	$-0.0103003\pi$
$719$	25.9326	+	25.9326i	0.967123	+	0.967123i	−0.0323536	+	0.999476i	$0.510300\pi$
$720$	−33.9782	+	34.1008i	−1.26629	+	1.27086i
$721$	0.313732	−	0.313732i	0.0116840	−	0.0116840i
$722$	36.9256	−	1.57639i	1.37423	−	0.0586671i
$723$	−22.5255	−	21.9146i	−0.837732	−	0.815012i
$724$	0.544717	+	0.681403i	0.0202443	+	0.0253241i
$725$	28.5345	+	5.67586i	1.05974	+	0.210796i
$726$	11.4338	−	12.8024i	0.424347	−	0.475142i
$727$	−0.0273404	+	0.0113248i	−0.00101400	+	0.000420013i	−0.383190	−	0.923669i	$-0.625175\pi$
$727$	−0.0273404	+	0.0113248i	−0.00101400	+	0.000420013i	0.382176	+	0.924089i	$0.375175\pi$
$728$	1.00522	−	2.02355i	0.0372561	−	0.0749978i
$729$	26.9082	−	2.22427i	0.996601	−	0.0823804i
$730$	−43.1255	+	31.5568i	−1.59615	+	1.16797i
$731$	0.825556	+	1.23553i	0.0305343	+	0.0456978i
$732$	18.8948	−	35.4265i	0.698373	−	1.30940i
$733$	43.1730	−	8.58763i	1.59463	−	0.317192i	0.683703	−	0.729760i	$-0.260368\pi$
$733$	43.1730	−	8.58763i	1.59463	−	0.317192i	0.910926	+	0.412569i	$0.135368\pi$
$734$	29.3806	−	13.6658i	1.08446	−	0.504413i
$735$	−8.66274	+	46.9116i	−0.319530	+	1.73036i
$736$	−1.75702	−	8.11103i	−0.0647646	−	0.298977i
$737$	−16.4682			−0.606612
$738$	−1.67264	−	23.8025i	−0.0615706	−	0.876181i
$739$	4.79179	+	24.0900i	0.176269	+	0.886164i	0.963131	+	0.269034i	$0.0867045\pi$
$739$	4.79179	+	24.0900i	0.176269	+	0.886164i	−0.786862	+	0.617129i	$0.788295\pi$
$740$	33.9846	−	17.6077i	1.24930	−	0.647272i
$741$	10.0271	+	23.2967i	0.368356	+	0.855825i
$742$	2.21886	−	1.62364i	0.0814570	−	0.0596056i
$743$	4.64304	−	11.2093i	0.170336	−	0.411229i	−0.815540	−	0.578700i	$-0.803560\pi$
$743$	4.64304	−	11.2093i	0.170336	−	0.411229i	0.985877	+	0.167471i	$0.0535602\pi$
$744$	−30.2619	+	17.9119i	−1.10946	+	0.656683i
$745$	−8.66709	−	20.9242i	−0.317537	−	0.766603i
$746$	−3.37319	+	5.54672i	−0.123501	+	0.203080i
$747$	−4.75090	+	7.55165i	−0.173826	+	0.276300i
$748$	3.11803	−	27.9699i	0.114006	−	1.02268i
$749$	−2.82410	−	1.88701i	−0.103191	−	0.0689497i
$750$	−8.35099	+	59.2859i	−0.304935	+	2.16482i
$751$	−5.26705	−	5.26705i	−0.192197	−	0.192197i	0.604448	−	0.796645i	$-0.293394\pi$
$751$	−5.26705	−	5.26705i	−0.192197	−	0.192197i	−0.796645	+	0.604448i	$0.793394\pi$
$752$	10.3323	+	7.29454i	0.376779	+	0.266004i
$753$	6.85443	−	4.71754i	0.249789	−	0.171917i
$754$	5.95520	+	5.46755i	0.216876	+	0.199117i
$755$	−80.0336	−	53.4767i	−2.91272	−	1.94622i
$756$	−3.30674	+	1.89009i	−0.120265	+	0.0687420i
$757$	−38.9154	−	7.74076i	−1.41441	−	0.281343i	−0.572030	−	0.820233i	$-0.693844\pi$
$757$	−38.9154	−	7.74076i	−1.41441	−	0.281343i	−0.842376	+	0.538890i	$0.818844\pi$
$758$	−37.9827	+	9.25533i	−1.37959	+	0.336169i
$759$	2.24886	+	10.5461i	0.0816286	+	0.382798i
$760$	37.9221	+	66.1259i	1.37558	+	2.39864i
$761$	−5.85971	+	14.1466i	−0.212414	+	0.512813i	−0.993793	−	0.111244i	$-0.964517\pi$
$761$	−5.85971	+	14.1466i	−0.212414	+	0.512813i	0.781379	+	0.624057i	$0.214517\pi$
$762$	33.3640	+	11.6629i	1.20865	+	0.422503i
$763$	−0.716187	−	1.07185i	−0.0259277	−	0.0388035i
$764$	12.9123	+	10.8774i	0.467152	+	0.393531i
$765$	6.70672	−	39.3399i	0.242482	−	1.42234i
$766$	0.942267	−	2.58108i	0.0340455	−	0.0932582i
$767$	16.8998			0.610217
$768$	−25.9842	+	9.63441i	−0.937624	+	0.347652i
$769$	−31.9264			−1.15129			−0.575647	−	0.817698i	$-0.695250\pi$
$769$	−31.9264			−1.15129			−0.575647	+	0.817698i	$0.695250\pi$
$770$	−3.02581	+	8.28836i	−0.109043	+	0.298692i
$771$	−0.233031	−	16.9520i	−0.00839239	−	0.610511i
$772$	−21.8222	−	18.3832i	−0.785399	−	0.661624i
$773$	16.1121	+	24.1135i	0.579512	+	0.867301i	0.999185	−	0.0403748i	$-0.0128552\pi$
$773$	16.1121	+	24.1135i	0.579512	+	0.867301i	−0.419673	+	0.907675i	$0.637855\pi$
$774$	−0.942842	+	1.65095i	−0.0338897	+	0.0593420i
$775$	−30.4718	+	73.5655i	−1.09458	+	2.64255i
$776$	14.1912	+	24.7457i	0.509436	+	0.888318i
$777$	2.96177	−	0.631573i	0.106253	−	0.0226575i
$778$	−31.3532	+	7.63991i	−1.12407	+	0.273904i
$779$	−37.0580	−	7.37130i	−1.32774	−	0.264104i
$780$	−19.1944	+	23.4315i	−0.687271	+	0.838983i
$781$	−13.5300	−	9.04044i	−0.484141	−	0.323493i
$782$	5.06798	+	4.65298i	0.181230	+	0.166390i
$783$	−3.20745	−	13.2452i	−0.114625	−	0.473344i
$784$	−15.8390	+	22.4350i	−0.565678	+	0.801248i
$785$	−41.3128	−	41.3128i	−1.47452	−	1.47452i
$786$	36.9645	+	5.20681i	1.31848	+	0.185721i
$787$	31.4237	+	20.9967i	1.12013	+	0.748450i	0.970694	−	0.240321i	$-0.0772526\pi$
$787$	31.4237	+	20.9967i	1.12013	+	0.748450i	0.149441	+	0.988771i	$0.452253\pi$
$788$	−1.93873	+	17.3912i	−0.0690645	+	0.619535i
$789$	−12.1634	−	4.84345i	−0.433027	−	0.172431i
$790$	10.4360	−	17.1605i	0.371295	−	0.610542i
$791$	−2.57466	−	6.21578i	−0.0915444	−	0.221008i
$792$	33.8018	−	12.4090i	1.20109	−	0.440934i
$793$	9.66773	−	23.3400i	0.343311	−	0.828826i
$794$	−32.6500	+	23.8914i	−1.15871	+	0.847875i
$795$	−33.8555	+	14.5718i	−1.20073	+	0.516807i
$796$	−32.5599	+	16.8696i	−1.15406	+	0.597926i
$797$	−1.15789	−	5.82109i	−0.0410144	−	0.206194i	0.954844	−	0.297106i	$-0.0960216\pi$
$797$	−1.15789	−	5.82109i	−0.0410144	−	0.206194i	−0.995859	+	0.0909127i	$0.971022\pi$
$798$	1.50827	+	5.83958i	0.0533922	+	0.206719i
$799$	−10.4850			−0.370933
$800$	−33.9719	+	52.7598i	−1.20109	+	1.86534i
$801$	−33.9559	−	12.9834i	−1.19977	−	0.458745i
$802$	−40.3704	+	18.7774i	−1.42553	+	0.663054i
$803$	39.2031	−	7.79798i	1.38345	−	0.275185i
$804$	−11.8617	−	6.32648i	−0.418330	−	0.223118i
$805$	−1.19837	−	1.79349i	−0.0422371	−	0.0632123i
$806$	−17.8565	+	13.0664i	−0.628969	+	0.460243i
$807$	22.3688	−	34.4944i	0.787418	−	1.21426i
$808$	−0.0345910	+	0.0696330i	−0.00121691	+	0.00244968i
$809$	−5.17491	+	2.14352i	−0.181940	+	0.0753621i	−0.471794	−	0.881709i	$-0.656393\pi$
$809$	−5.17491	+	2.14352i	−0.181940	+	0.0753621i	0.289854	+	0.957071i	$0.406393\pi$
$810$	48.8685	−	14.7960i	1.71706	−	0.519877i
$811$	1.22166	+	0.243003i	0.0428983	+	0.00853300i	0.216493	−	0.976284i	$-0.430538\pi$
$811$	1.22166	+	0.243003i	0.0428983	+	0.00853300i	−0.173595	+	0.984817i	$0.555538\pi$
$812$	1.20041	+	1.50162i	0.0421260	+	0.0526966i
$813$	29.4233	−	30.2435i	1.03192	−	1.06069i
$814$	−28.6033	+	1.22110i	−1.00254	+	0.0427995i
$815$	6.00245	−	6.00245i	0.210257	−	0.210257i
$816$	12.9909	−	18.9483i	0.454772	−	0.663325i
$817$	2.12877	+	2.12877i	0.0744764	+	0.0744764i
$818$	−1.82225	−	1.67304i	−0.0637137	−	0.0584964i
$819$	−1.95530	+	1.38572i	−0.0683236	+	0.0484208i
$820$	−12.5429	−	43.3452i	−0.438019	−	1.51368i
$821$	−0.494489	+	2.48597i	−0.0172578	+	0.0867608i	−0.988454	−	0.151519i	$-0.951584\pi$
$821$	−0.494489	+	2.48597i	−0.0172578	+	0.0867608i	0.971197	+	0.238280i	$0.0765835\pi$
$822$	0.0910294	−	0.00514048i	0.00317502	−	0.000179295i
$823$	10.4360	+	25.1947i	0.363776	+	0.878233i	0.994741	+	0.102422i	$0.0326592\pi$
$823$	10.4360	+	25.1947i	0.363776	+	0.878233i	−0.630965	+	0.775811i	$0.717341\pi$
$824$	−3.39606	+	0.437068i	−0.118307	+	0.0152260i
$825$	44.3612	−	68.4084i	1.54446	−	2.38168i
$826$	3.97135	+	0.615186i	0.138181	+	0.0214051i
$827$	−29.4603	+	19.6847i	−1.02444	+	0.684506i	−0.949849	−	0.312709i	$-0.898764\pi$
$827$	−29.4603	+	19.6847i	−1.02444	+	0.684506i	−0.0745862	+	0.997215i	$0.523764\pi$
$828$	−2.43161	+	8.46007i	−0.0845043	+	0.294008i
$829$	8.97071	+	45.0988i	0.311566	+	1.56635i	0.746189	+	0.665734i	$0.231882\pi$
$829$	8.97071	+	45.0988i	0.311566	+	1.56635i	−0.434623	+	0.900613i	$0.643118\pi$
$830$	−5.78587	+	15.8488i	−0.200830	+	0.550119i
$831$	−4.01114	+	21.7217i	−0.139145	+	0.753517i
$832$	−15.6835	+	7.62128i	−0.543727	+	0.264220i
$833$		−	22.7666i		−	0.788817i
$834$	−8.09278	−	4.77042i	−0.280230	−	0.165186i
$835$	−15.1921	+	3.02190i	−0.525744	+	0.104577i
$836$	−4.85941	−	56.8102i	−0.168066	−	1.96482i
$837$	37.2671	−	1.53765i	1.28814	−	0.0531490i
$838$	−4.15272	+	26.8080i	−0.143453	+	0.926067i
$839$	−6.79083	−	2.81286i	−0.234446	−	0.0971106i	0.262368	−	0.964968i	$-0.415497\pi$
$839$	−6.79083	−	2.81286i	−0.234446	−	0.0971106i	−0.496813	+	0.867857i	$0.665497\pi$
$840$	−5.36353	+	4.80755i	−0.185059	+	0.165876i
$841$	20.4375	−	8.46549i	0.704742	−	0.291914i
$842$	23.7446	−	5.78591i	0.818294	−	0.199396i
$843$	18.2242	+	7.25688i	0.627676	+	0.249940i
$844$	1.48953	+	5.14744i	0.0512719	+	0.177182i
$845$	18.3851	−	27.5152i	0.632465	−	0.946551i
$846$	−5.98986	−	12.0035i	−0.205936	−	0.412688i
$847$	1.81605	−	1.81605i	0.0624000	−	0.0624000i
$848$	−21.2116	−	0.545038i	−0.728408	−	0.0187167i
$849$	−33.2806	+	22.9053i	−1.14219	+	0.786107i
$850$	−2.21879	−	51.9733i	−0.0761038	−	1.78267i
$851$	3.88837	−	5.81935i	0.133292	−	0.199485i
$852$	−6.27238	−	11.7094i	−0.214888	−	0.401158i
$853$	1.37332	−	6.90412i	0.0470214	−	0.236393i	−0.950126	−	0.311865i	$-0.899046\pi$
$853$	1.37332	−	6.90412i	0.0470214	−	0.236393i	0.997148	+	0.0754721i	$0.0240464\pi$
$854$	3.12148	−	5.13282i	0.106815	−	0.175642i
$855$	−2.22245	−	80.8215i	−0.0760061	−	2.76404i
$856$	8.35348	+	24.8454i	0.285516	+	0.849200i
$857$	−35.7564	−	14.8108i	−1.22141	−	0.505927i	−0.323556	−	0.946209i	$-0.604878\pi$
$857$	−35.7564	−	14.8108i	−1.22141	−	0.505927i	−0.897859	+	0.440283i	$0.854878\pi$
$858$	20.4096	−	9.83654i	0.696771	−	0.335814i
$859$	11.6542	−	7.78710i	0.397637	−	0.265692i	−0.340635	−	0.940196i	$-0.610642\pi$
$859$	11.6542	−	7.78710i	0.397637	−	0.265692i	0.738272	+	0.674503i	$0.235642\pi$
$860$	−1.08778	+	3.42683i	−0.0370929	+	0.116854i
$861$	−0.0490732	−	3.56987i	−0.00167241	−	0.121661i
$862$	15.4080	+	33.1262i	0.524797	+	1.12828i
$863$			44.1433i			1.50266i	0.659929	+	0.751328i	$0.270587\pi$
$863$			44.1433i			1.50266i	−0.659929	+	0.751328i	$0.729413\pi$
$864$	29.1139	+	4.04749i	0.990474	+	0.137698i
$865$			78.9960i			2.68595i
$866$	31.2221	−	14.5223i	1.06097	−	0.493488i
$867$	−0.142942	−	10.3984i	−0.00485457	−	0.353149i
$868$	−4.67181	+	2.42050i	−0.158572	+	0.0821573i
$869$	−12.4912	+	8.34635i	−0.423735	+	0.283131i
$870$	−11.1891	−	23.2160i	−0.379347	−	0.787097i
$871$	−7.81483	−	3.23701i	−0.264795	−	0.109682i
$872$	−0.679493	+	9.92522i	−0.0230106	+	0.336110i
$873$	−0.831686	−	30.2451i	−0.0281483	−	1.02364i
$874$	11.9095	+	7.24263i	0.402844	+	0.244986i
$875$	−1.74765	+	8.78604i	−0.0590814	+	0.297022i
$876$	31.2330	+	9.44370i	1.05526	+	0.319073i
$877$	−0.977656	+	1.46317i	−0.0330131	+	0.0494076i	−0.847609	−	0.530621i	$-0.821959\pi$
$877$	−0.977656	+	1.46317i	−0.0330131	+	0.0494076i	0.814596	+	0.580029i	$0.196959\pi$
$878$	6.03126	−	0.257480i	0.203545	−	0.00868952i
$879$	24.2759	−	16.7078i	0.818806	−	0.563541i
$880$	57.5706	−	36.3638i	1.94070	−	1.22582i
$881$	7.29678	−	7.29678i	0.245835	−	0.245835i	−0.573424	−	0.819259i	$-0.694385\pi$
$881$	7.29678	−	7.29678i	0.245835	−	0.245835i	0.819259	+	0.573424i	$0.194385\pi$
$882$	26.0637	−	13.0061i	0.877611	−	0.437937i
$883$	25.5601	−	38.2534i	0.860167	−	1.28733i	−0.0962591	−	0.995356i	$-0.530688\pi$
$883$	25.5601	−	38.2534i	0.860167	−	1.28733i	0.956426	−	0.291975i	$-0.0943123\pi$
$884$	6.97744	−	12.6600i	0.234677	−	0.425802i
$885$	−50.0511	−	19.9303i	−1.68245	−	0.669951i
$886$	−7.91850	−	32.4965i	−0.266027	−	1.09174i
$887$	47.1042	−	19.5112i	1.58160	−	0.655122i	0.592937	−	0.805249i	$-0.297968\pi$
$887$	47.1042	−	19.5112i	1.58160	−	0.655122i	0.988667	+	0.150127i	$0.0479682\pi$
$888$	−21.0715	−	10.1088i	−0.707114	−	0.339230i
$889$	4.88572	+	2.02373i	0.163862	+	0.0678738i
$890$	−67.9371	−	10.5239i	−2.27726	−	0.352761i
$891$	−37.8108	−	5.38109i	−1.26671	−	0.180273i
$892$	3.97320	+	3.34704i	0.133033	+	0.112067i
$893$	−20.8344	+	4.14422i	−0.697196	+	0.138681i
$894$	−7.02249	+	11.9133i	−0.234867	+	0.398440i
$895$		−	11.5763i		−	0.386952i
$896$	−3.96295	+	1.22004i	−0.132393	+	0.0407588i
$897$	−1.00577	+	5.44659i	−0.0335817	+	0.181856i
$898$	18.7794	+	6.85574i	0.626677	+	0.228779i
$899$	−3.67281	−	18.4645i	−0.122495	−	0.615825i
$900$	58.2327	−	32.2313i	1.94109	−	1.07438i
$901$	14.6257	−	9.77261i	0.487254	−	0.325573i
$902$	−5.16674	+	33.3540i	−0.172034	+	1.11057i
$903$	−0.154775	+	0.238674i	−0.00515057	+	0.00794258i
$904$	−13.5839	+	50.1132i	−0.451795	+	1.66674i
$905$	−0.669618	−	1.61660i	−0.0222588	−	0.0537376i
$906$	3.31371	+	58.6804i	0.110091	+	1.94952i
$907$	8.70820	−	43.7791i	0.289151	−	1.45366i	−0.513952	−	0.857819i	$-0.671819\pi$
$907$	8.70820	−	43.7791i	0.289151	−	1.45366i	0.803103	−	0.595841i	$-0.203181\pi$
$908$	9.88716	+	5.44922i	0.328117	+	0.180839i
$909$	0.0672842	−	0.0476842i	0.00223168	−	0.00158159i
$910$	−3.06505	+	3.33842i	−0.101605	+	0.110667i
$911$	23.1218	+	23.1218i	0.766060	+	0.766060i	0.977410	−	0.211351i	$-0.0677862\pi$
$911$	23.1218	+	23.1218i	0.766060	+	0.766060i	−0.211351	+	0.977410i	$0.567786\pi$
$912$	18.3243	−	42.7862i	0.606780	−	1.41679i
$913$	8.92366	−	8.92366i	0.295330	−	0.295330i
$914$	−0.927780	−	21.7325i	−0.0306882	−	0.718847i
$915$	−56.1577	+	57.7231i	−1.85652	+	1.90827i
$916$	−1.15378	+	10.3498i	−0.0381218	+	0.341967i
$917$	5.47805	+	1.08965i	0.180901	+	0.0359835i
$918$	−21.6520	+	11.1789i	−0.714624	+	0.368959i
$919$	7.24727	−	3.00192i	0.239065	−	0.0990242i	−0.259934	−	0.965626i	$-0.583701\pi$
$919$	7.24727	−	3.00192i	0.239065	−	0.0990242i	0.499000	+	0.866602i	$0.333701\pi$
$920$	−1.13698	+	16.6076i	−0.0374850	+	0.547535i
$921$	−1.41217	+	2.17768i	−0.0465327	+	0.0717571i
$922$	18.9850	+	25.9449i	0.625238	+	0.854451i
$923$	−4.64354	−	6.94954i	−0.152844	−	0.228747i
$924$	5.15419	−	1.56858i	0.169560	−	0.0516024i
$925$	−51.9026	+	10.3241i	−1.70655	+	0.339453i
$926$	12.4315	+	26.7269i	0.408524	+	0.878301i
$927$	3.39226	+	1.29706i	0.111416	+	0.0426012i
$928$	−0.251838	−	14.8341i	−0.00826699	−	0.486955i
$929$	3.50530			0.115005			0.0575026	−	0.998345i	$-0.481686\pi$
$929$	3.50530			0.115005			0.0575026	+	0.998345i	$0.481686\pi$
$930$	68.2940	−	17.6393i	2.23945	−	0.578414i
$931$	−8.99853	−	45.2387i	−0.294915	−	1.48264i
$932$	−51.9204	−	16.4810i	−1.70071	−	0.539855i
$933$	−38.7766	+	16.6899i	−1.26949	+	0.546402i
$934$	19.8896	+	27.1812i	0.650808	+	0.889395i
$935$	−21.6023	+	52.1525i	−0.706470	+	1.70557i
$936$	18.4795	+	0.755554i	0.604021	+	0.0246961i
$937$	18.5415	+	44.7631i	0.605724	+	1.46235i	0.867608	+	0.497249i	$0.165656\pi$
$937$	18.5415	+	44.7631i	0.605724	+	1.46235i	−0.261884	+	0.965099i	$0.584344\pi$
$938$	−1.71860	−	1.04515i	−0.0561144	−	0.0341254i
$939$	9.05203	+	3.60452i	0.295402	+	0.117629i
$940$	−15.8406	−	19.8155i	−0.516665	−	0.646311i
$941$	−36.5079	−	24.3938i	−1.19012	−	0.795215i	−0.207032	−	0.978334i	$-0.566380\pi$
$941$	−36.5079	−	24.3938i	−1.19012	−	0.795215i	−0.983091	+	0.183120i	$0.941380\pi$
$942$	−4.97597	+	35.3257i	−0.162126	+	1.15097i
$943$	−5.83444	−	5.83444i	−0.189996	−	0.189996i
$944$	−21.3595	−	22.4862i	−0.695194	−	0.731863i
$945$	7.42509	−	1.79806i	0.241538	−	0.0584909i
$946$	1.81876	−	1.98098i	0.0591331	−	0.0644071i
$947$	25.2311	+	16.8589i	0.819900	+	0.547840i	0.893299	−	0.449463i	$-0.148385\pi$
$947$	25.2311	+	16.8589i	0.819900	+	0.547840i	−0.0733990	+	0.997303i	$0.523385\pi$
$948$	−12.2036	+	1.21305i	−0.396353	+	0.0393979i
$949$	20.1363	+	4.00536i	0.653652	+	0.130019i
$950$	−24.9514	−	102.397i	−0.809530	−	3.32220i
$951$	31.4967	−	6.71643i	1.02135	−	0.217795i
$952$	2.10050	−	2.72103i	0.0680777	−	0.0881890i
$953$	−7.37516	+	17.8052i	−0.238905	+	0.576768i	−0.997170	−	0.0751787i	$-0.976047\pi$
$953$	−7.37516	+	17.8052i	−0.238905	+	0.576768i	0.758265	+	0.651946i	$0.226047\pi$
$954$	19.5433	+	11.1610i	0.632736	+	0.361351i
$955$	−18.8141	−	28.1573i	−0.608811	−	0.911149i
$956$	48.1327	−	4.11715i	1.55672	−	0.133158i
$957$	0.264965	+	19.2751i	0.00856512	+	0.623076i
$958$	−1.34679	−	0.491668i	−0.0435127	−	0.0158851i
$959$	0.0136419			0.000440519
$960$	55.4367	−	4.07559i	1.78921	−	0.131539i
$961$	20.5259			0.662127
$962$	−13.8135	−	5.04285i	−0.445365	−	0.162588i
$963$	4.67235	−	27.4068i	0.150564	−	0.883170i
$964$	3.09275	+	36.1566i	0.0996107	+	1.16452i
$965$	31.7964	+	47.5867i	1.02356	+	1.53187i
$966$	−0.434617	+	1.24330i	−0.0139836	+	0.0400026i
$967$	4.18748	−	10.1095i	0.134660	−	0.325098i	−0.842137	−	0.539263i	$-0.818703\pi$
$967$	4.18748	−	10.1095i	0.134660	−	0.325098i	0.976798	+	0.214165i	$0.0687029\pi$
$968$	−19.6581	+	2.52997i	−0.631837	+	0.0813164i
$969$	8.04721	+	37.7374i	0.258514	+	1.21230i
$970$	−13.5460	−	55.5911i	−0.434936	−	1.78492i
$971$	−34.2086	−	6.80451i	−1.09781	−	0.218367i	−0.387226	−	0.921985i	$-0.626567\pi$
$971$	−34.2086	−	6.80451i	−1.09781	−	0.218367i	−0.710579	+	0.703618i	$0.751567\pi$
$972$	−25.1672	−	18.4015i	−0.807237	−	0.590227i
$973$	−1.16870	−	0.780903i	−0.0374669	−	0.0250346i
$974$	26.2178	−	28.5562i	0.840073	−	0.914999i
$975$	34.4977	−	23.7429i	1.10481	−	0.760383i
$976$	−43.2742	+	16.6357i	−1.38517	+	0.532497i
$977$	−17.0570	−	17.0570i	−0.545702	−	0.545702i	0.379493	−	0.925195i	$-0.376099\pi$
$977$	−17.0570	−	17.0570i	−0.545702	−	0.545702i	−0.925195	+	0.379493i	$0.876099\pi$
$978$	−5.13257	−	0.722972i	−0.164122	−	0.0231181i
$979$	42.7560	+	28.5687i	1.36649	+	0.913059i
$980$	43.0264	−	34.3955i	1.37443	−	1.09872i
$981$	5.61895	−	8.93143i	0.179399	−	0.285159i
$982$	−18.0776	−	10.9937i	−0.576881	−	0.350824i
$983$	13.6403	+	32.9306i	0.435059	+	1.05032i	0.977633	+	0.210317i	$0.0674495\pi$
$983$	13.6403	+	32.9306i	0.435059	+	1.05032i	−0.542575	+	0.840008i	$0.682550\pi$
$984$	−16.5350	+	22.0394i	−0.527115	+	0.702591i
$985$	13.4319	−	32.4275i	0.427976	−	1.03323i
$986$	7.26309	+	9.92574i	0.231304	+	0.316100i
$987$	−0.793540	−	1.84368i	−0.0252587	−	0.0586850i
$988$	8.86072	−	27.9140i	0.281897	−	0.888063i
$989$	0.128259	+	0.644800i	0.00407839	+	0.0205034i
$990$	−72.0462	+	5.06280i	−2.28978	+	0.160906i
$991$	−48.4738			−1.53982			−0.769911	−	0.638151i	$-0.779699\pi$
$991$	−48.4738			−1.53982			−0.769911	+	0.638151i	$0.779699\pi$
$992$	39.9543	+	7.24464i	1.26855	+	0.230017i
$993$	2.83088	−	15.3302i	0.0898354	−	0.486488i
$994$	−0.838226	−	1.80213i	−0.0265869	−	0.0571602i
$995$	72.1404	−	14.3496i	2.28701	−	0.454914i
$996$	9.85570	−	2.99939i	0.312290	−	0.0950394i
$997$	−0.890075	−	1.33209i	−0.0281889	−	0.0421877i	0.817108	−	0.576485i	$-0.195576\pi$
$997$	−0.890075	−	1.33209i	−0.0281889	−	0.0421877i	−0.845296	+	0.534298i	$0.820576\pi$
$998$	28.7064	+	39.2302i	0.908686	+	1.24181i
$999$	14.6098	+	20.0257i	0.462233	+	0.633584i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	192.2.s.a.107.19	yes	240
3.2	odd	2	inner	192.2.s.a.107.12	✓	240
4.3	odd	2		768.2.s.a.335.1		240
12.11	even	2		768.2.s.a.335.4		240
64.3	odd	16	inner	192.2.s.a.131.12	yes	240
64.61	even	16		768.2.s.a.431.4		240
192.125	odd	16		768.2.s.a.431.1		240
192.131	even	16	inner	192.2.s.a.131.19	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
192.2.s.a.107.12	✓	240	3.2	odd	2	inner
192.2.s.a.107.19	yes	240	1.1	even	1	trivial
192.2.s.a.131.12	yes	240	64.3	odd	16	inner
192.2.s.a.131.19	yes	240	192.131	even	16	inner
768.2.s.a.335.1		240	4.3	odd	2
768.2.s.a.335.4		240	12.11	even	2
768.2.s.a.431.1		240	192.125	odd	16
768.2.s.a.431.4		240	64.61	even	16

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:	\( N \)	\(=\)	\( 192 = 2^{6} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	192.s (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.484976 - 1.32846i) q^{2} +(1.73189 - 0.0238074i) q^{3} +(-1.52960 - 1.28854i) q^{4} +(2.22872 + 3.33552i) q^{5} +(0.808297 - 2.31228i) q^{6} +(0.140254 - 0.338604i) q^{7} +(-2.45359 + 1.40709i) q^{8} +(2.99887 - 0.0824635i) q^{9} +(5.51197 - 1.34312i) q^{10} +(-4.16199 - 0.827871i) q^{11} +(-2.67977 - 2.19519i) q^{12} +(-1.81231 - 1.21095i) q^{13} +(-0.381801 - 0.350537i) q^{14} +(3.93931 + 5.72369i) q^{15} +(0.679331 + 3.94189i) q^{16} +(-2.34477 - 2.34477i) q^{17} +(1.34483 - 4.02386i) q^{18} +(-5.58598 - 3.73243i) q^{19} +(0.888903 - 7.97380i) q^{20} +(0.234843 - 0.589763i) q^{21} +(-3.11826 + 5.12753i) q^{22} +(-0.561434 - 1.35542i) q^{23} +(-4.21584 + 2.49534i) q^{24} +(-4.24507 + 10.2485i) q^{25} +(-2.48762 + 1.82030i) q^{26} +(5.19174 - 0.214213i) q^{27} +(-0.650837 + 0.337204i) q^{28} +(-0.511665 - 2.57231i) q^{29} +(9.51414 - 2.45735i) q^{30} +7.17816 q^{31} +(5.56609 + 1.00926i) q^{32} +(-7.22781 - 1.33469i) q^{33} +(-4.25209 + 1.97777i) q^{34} +(1.44201 - 0.286833i) q^{35} +(-4.69331 - 3.73802i) q^{36} +(2.65038 + 3.96658i) q^{37} +(-7.66744 + 5.61059i) q^{38} +(-3.16755 - 2.05408i) q^{39} +(-10.1618 - 5.04797i) q^{40} +(5.19602 - 2.15226i) q^{41} +(-0.669581 - 0.598000i) q^{42} +(-0.439507 - 0.0874234i) q^{43} +(5.29942 + 6.62920i) q^{44} +(6.95870 + 9.81899i) q^{45} +(-2.07290 + 0.0884939i) q^{46} +(2.23583 - 2.23583i) q^{47} +(1.27037 + 6.81074i) q^{48} +(4.85477 + 4.85477i) q^{49} +(11.5560 + 10.6097i) q^{50} +(-4.11670 - 4.00506i) q^{51} +(1.21175 + 4.18749i) q^{52} +(-1.03488 + 5.20272i) q^{53} +(2.23329 - 7.00089i) q^{54} +(-6.51454 - 15.7275i) q^{55} +(0.132321 + 1.02815i) q^{56} +(-9.76314 - 6.33116i) q^{57} +(-3.66535 - 0.567786i) q^{58} +(-6.44677 + 4.30759i) q^{59} +(1.34964 - 13.8309i) q^{60} +(2.26118 + 11.3677i) q^{61} +(3.48123 - 9.53587i) q^{62} +(0.392682 - 1.02699i) q^{63} +(4.04018 - 6.90485i) q^{64} -8.74387i q^{65} +(-5.27840 + 8.95454i) q^{66} +(3.80620 - 0.757101i) q^{67} +(0.565223 + 6.60788i) q^{68} +(-1.00461 - 2.33407i) q^{69} +(0.318294 - 2.05475i) q^{70} +(3.54274 + 1.46745i) q^{71} +(-7.24195 + 4.42201i) q^{72} +(-8.70231 + 3.60462i) q^{73} +(6.55480 - 1.59722i) q^{74} +(-7.10800 + 17.8503i) q^{75} +(3.73490 + 12.9069i) q^{76} +(-0.864058 + 1.29315i) q^{77} +(-4.26494 + 3.21177i) q^{78} +(2.50332 - 2.50332i) q^{79} +(-11.6342 + 11.0513i) q^{80} +(8.98640 - 0.494594i) q^{81} +(-0.339242 - 7.94648i) q^{82} +(-1.65223 + 2.47273i) q^{83} +(-1.11915 + 0.599494i) q^{84} +(2.59519 - 13.0469i) q^{85} +(-0.329289 + 0.541468i) q^{86} +(-0.947386 - 4.44278i) q^{87} +(11.3767 - 3.82505i) q^{88} +(-11.1954 - 4.63728i) q^{89} +(16.4189 - 4.48236i) q^{90} +(-0.664216 + 0.443815i) q^{91} +(-0.887747 + 2.79668i) q^{92} +(12.4318 - 0.170893i) q^{93} +(-1.88588 - 4.05453i) q^{94} -26.9507i q^{95} +(9.66387 + 1.61541i) q^{96} -10.0855i q^{97} +(8.80379 - 4.09490i) q^{98} +(-12.5495 - 2.13946i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 16 q^{4} - 8 q^{6} - 16 q^{7} - 8 q^{9} - 16 q^{10} - 8 q^{12} - 16 q^{13} - 8 q^{15} - 16 q^{16} - 8 q^{18} - 16 q^{19} - 8 q^{21} - 16 q^{22} - 48 q^{24} - 16 q^{25} - 8 q^{27} - 16 q^{28}+ \cdots - 8 q^{99}+O(q^{100}) \) 240 * q - 8 * q^3 - 16 * q^4 - 8 * q^6 - 16 * q^7 - 8 * q^9 - 16 * q^10 - 8 * q^12 - 16 * q^13 - 8 * q^15 - 16 * q^16 - 8 * q^18 - 16 * q^19 - 8 * q^21 - 16 * q^22 - 48 * q^24 - 16 * q^25 - 8 * q^27 - 16 * q^28 - 88 * q^30 - 32 * q^31 - 16 * q^34 - 88 * q^36 - 16 * q^37 - 8 * q^39 - 16 * q^40 - 48 * q^42 - 16 * q^43 - 8 * q^45 - 16 * q^46 - 8 * q^48 - 16 * q^49 - 8 * q^51 + 32 * q^52 - 8 * q^54 - 80 * q^55 - 8 * q^57 + 128 * q^58 - 8 * q^60 - 16 * q^61 + 80 * q^64 - 24 * q^66 - 144 * q^67 - 8 * q^69 + 80 * q^70 - 8 * q^72 - 16 * q^73 - 8 * q^75 + 96 * q^76 + 16 * q^78 - 48 * q^79 - 8 * q^81 + 64 * q^82 + 104 * q^84 - 16 * q^85 - 8 * q^87 + 64 * q^88 + 136 * q^90 - 16 * q^91 - 32 * q^93 + 80 * q^94 + 128 * q^96 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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