LMFDB - Embedded newform 378.2.ba.a.47.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(47,378)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(378, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([7, 15]))

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

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

chi := DirichletCharacter("378.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.ba (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$3.01834519640$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$24$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			47.21
Character	$\chi$	$=$	378.47
Dual form			378.2.ba.a.185.21

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.984808 + 0.173648i) q^{2} +(1.08867 - 1.34715i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-3.12859 - 1.13871i) q^{5} +(1.30606 - 1.13763i) q^{6} +(1.24998 - 2.33186i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-0.629601 - 2.93319i) q^{9} +O(q^{10})$	\(q+(0.984808 + 0.173648i) q^{2} +(1.08867 - 1.34715i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-3.12859 - 1.13871i) q^{5} +(1.30606 - 1.13763i) q^{6} +(1.24998 - 2.33186i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-0.629601 - 2.93319i) q^{9} +(-2.88332 - 1.66469i) q^{10} +(-0.206489 - 0.567324i) q^{11} +(1.48376 - 0.893556i) q^{12} +(0.294031 - 0.807843i) q^{13} +(1.63591 - 2.07938i) q^{14} +(-4.94000 + 2.97498i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-3.20905 + 5.55825i) q^{17} +(-0.110693 - 2.99796i) q^{18} +(4.68236 - 2.70336i) q^{19} +(-2.55045 - 2.14008i) q^{20} +(-1.78054 - 4.22252i) q^{21} +(-0.104837 - 0.594561i) q^{22} +(6.85018 - 1.20787i) q^{23} +(1.61639 - 0.622328i) q^{24} +(4.66116 + 3.91118i) q^{25} +(0.429844 - 0.744512i) q^{26} +(-4.63686 - 2.34511i) q^{27} +(1.97214 - 1.76371i) q^{28} +(3.29827 + 9.06192i) q^{29} +(-5.38155 + 2.07196i) q^{30} +(0.570508 - 1.56746i) q^{31} +(0.642788 + 0.766044i) q^{32} +(-0.989065 - 0.339457i) q^{33} +(-4.12548 + 4.91656i) q^{34} +(-6.56597 + 5.87205i) q^{35} +(0.411579 - 2.97163i) q^{36} +0.200391 q^{37} +(5.08066 - 1.84921i) q^{38} +(-0.768180 - 1.27558i) q^{39} +(-2.14008 - 2.55045i) q^{40} +(-9.49350 - 3.45535i) q^{41} +(-1.02026 - 4.46756i) q^{42} +(-2.00474 + 11.3694i) q^{43} -0.603733i q^{44} +(-1.37030 + 9.89367i) q^{45} +6.95585 q^{46} +(8.82003 - 3.21023i) q^{47} +(1.69990 - 0.332190i) q^{48} +(-3.87512 - 5.82953i) q^{49} +(3.91118 + 4.66116i) q^{50} +(3.99417 + 10.3742i) q^{51} +(0.552597 - 0.658560i) q^{52} +(2.60728 - 1.50532i) q^{53} +(-4.15919 - 3.11466i) q^{54} +2.01005i q^{55} +(2.24844 - 1.39446i) q^{56} +(1.45572 - 9.25088i) q^{57} +(1.67457 + 9.49699i) q^{58} +(-2.24286 + 1.88198i) q^{59} +(-5.65959 + 1.10599i) q^{60} +(2.28254 + 6.27124i) q^{61} +(0.834027 - 1.44458i) q^{62} +(-7.62677 - 2.19828i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.83980 + 2.19259i) q^{65} +(-0.915093 - 0.506049i) q^{66} +(0.879889 + 4.99010i) q^{67} +(-4.91656 + 4.12548i) q^{68} +(5.83040 - 10.5432i) q^{69} +(-7.48589 + 4.64267i) q^{70} +(4.30021 - 2.48273i) q^{71} +(0.921345 - 2.85502i) q^{72} -3.26718i q^{73} +(0.197346 + 0.0347975i) q^{74} +(10.3434 - 2.02128i) q^{75} +(5.32458 - 0.938867i) q^{76} +(-1.58102 - 0.227638i) q^{77} +(-0.535008 - 1.38959i) q^{78} +(1.06352 - 6.03151i) q^{79} +(-1.66469 - 2.88332i) q^{80} +(-8.20721 + 3.69348i) q^{81} +(-8.74926 - 5.05139i) q^{82} +(-6.72213 + 2.44665i) q^{83} +(-0.228974 - 4.57685i) q^{84} +(16.3690 - 13.7353i) q^{85} +(-3.94857 + 10.8486i) q^{86} +(15.7984 + 5.42218i) q^{87} +(0.104837 - 0.594561i) q^{88} +(1.03537 + 1.79332i) q^{89} +(-3.06750 + 9.50541i) q^{90} +(-1.51624 - 1.69542i) q^{91} +(6.85018 + 1.20787i) q^{92} +(-1.49050 - 2.47500i) q^{93} +(9.24348 - 1.62988i) q^{94} +(-17.7275 + 3.12584i) q^{95} +(1.73176 - 0.0319596i) q^{96} +(8.56220 + 1.50975i) q^{97} +(-2.80396 - 6.41388i) q^{98} +(-1.53406 + 0.962858i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) $ 144 * q - 18 * q^6 + 24 * q^9	$ 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) $ 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/378\mathbb{Z}\right)^\times$.

$n$	$29$	$325$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	0.984808	+	0.173648i	0.696364	+	0.122788i
$2$	0.984808	+	0.173648i	0.696364	+	0.122788i
$3$	1.08867	−	1.34715i	0.628543	−	0.777775i
$3$	1.08867	−	1.34715i	0.628543	−	0.777775i
$4$	0.939693	+	0.342020i	0.469846	+	0.171010i
$5$	−3.12859	−	1.13871i	−1.39915	−	0.509248i	−0.471221	−	0.882015i	$-0.656187\pi$
$5$	−3.12859	−	1.13871i	−1.39915	−	0.509248i	−0.927925	+	0.372767i	$0.878409\pi$
$6$	1.30606	−	1.13763i	0.533196	−	0.464437i
$7$	1.24998	−	2.33186i	0.472447	−	0.881359i
$7$	1.24998	−	2.33186i	0.472447	−	0.881359i
$8$	0.866025	+	0.500000i	0.306186	+	0.176777i
$9$	−0.629601	−	2.93319i	−0.209867	−	0.977730i
$10$	−2.88332	−	1.66469i	−0.911786	−	0.526420i
$11$	−0.206489	−	0.567324i	−0.0622587	−	0.171054i	0.904663	−	0.426128i	$-0.140123\pi$
$11$	−0.206489	−	0.567324i	−0.0622587	−	0.171054i	−0.966922	+	0.255073i	$0.917900\pi$
$12$	1.48376	−	0.893556i	0.428326	−	0.257947i
$13$	0.294031	−	0.807843i	0.0815495	−	0.224055i	−0.892216	−	0.451609i	$-0.850850\pi$
$13$	0.294031	−	0.807843i	0.0815495	−	0.224055i	0.973766	+	0.227553i	$0.0730726\pi$
$14$	1.63591	−	2.07938i	0.437215	−	0.555736i
$15$	−4.94000	+	2.97498i	−1.27550	+	0.768136i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	−3.20905	+	5.55825i	−0.778310	+	1.34807i	0.154605	+	0.987976i	$0.450589\pi$
$17$	−3.20905	+	5.55825i	−0.778310	+	1.34807i	−0.932915	+	0.360096i	$0.882744\pi$
$18$	−0.110693	−	2.99796i	−0.0260905	−	0.706625i
$19$	4.68236	−	2.70336i	1.07421	−	0.620193i	0.144879	−	0.989449i	$-0.453721\pi$
$19$	4.68236	−	2.70336i	1.07421	−	0.620193i	0.929328	+	0.369256i	$0.120387\pi$
$20$	−2.55045	−	2.14008i	−0.570297	−	0.478536i
$21$	−1.78054	−	4.22252i	−0.388546	−	0.921429i
$22$	−0.104837	−	0.594561i	−0.0223514	−	0.126761i
$23$	6.85018	−	1.20787i	1.42836	−	0.251859i	0.594617	−	0.804009i	$-0.297304\pi$
$23$	6.85018	−	1.20787i	1.42836	−	0.251859i	0.833744	+	0.552151i	$0.186193\pi$
$24$	1.61639	−	0.622328i	0.329944	−	0.127032i
$25$	4.66116	+	3.91118i	0.932233	+	0.782236i
$26$	0.429844	−	0.744512i	0.0842994	−	0.146011i
$27$	−4.63686	−	2.34511i	−0.892364	−	0.451316i
$28$	1.97214	−	1.76371i	0.372699	−	0.333310i
$29$	3.29827	+	9.06192i	0.612473	+	1.68276i	0.724692	+	0.689073i	$0.241982\pi$
$29$	3.29827	+	9.06192i	0.612473	+	1.68276i	−0.112219	+	0.993683i	$0.535796\pi$
$30$	−5.38155	+	2.07196i	−0.982533	+	0.378286i
$31$	0.570508	−	1.56746i	0.102466	−	0.281524i	−0.877857	−	0.478923i	$-0.841027\pi$
$31$	0.570508	−	1.56746i	0.102466	−	0.281524i	0.980323	+	0.197399i	$0.0632495\pi$
$32$	0.642788	+	0.766044i	0.113630	+	0.135419i
$33$	−0.989065	−	0.339457i	−0.172174	−	0.0590919i
$34$	−4.12548	+	4.91656i	−0.707514	+	0.843183i
$35$	−6.56597	+	5.87205i	−1.10985	+	0.992558i
$36$	0.411579	−	2.97163i	0.0685965	−	0.495272i
$37$	0.200391			0.0329440			0.0164720	−	0.999864i	$-0.494757\pi$
$37$	0.200391			0.0329440			0.0164720	+	0.999864i	$0.494757\pi$
$38$	5.08066	−	1.84921i	0.824191	−	0.299981i
$39$	−0.768180	−	1.27558i	−0.123007	−	0.204256i
$40$	−2.14008	−	2.55045i	−0.338376	−	0.403261i
$41$	−9.49350	−	3.45535i	−1.48264	−	0.539635i	−0.531137	−	0.847286i	$-0.678235\pi$
$41$	−9.49350	−	3.45535i	−1.48264	−	0.539635i	−0.951499	+	0.307651i	$0.900457\pi$
$42$	−1.02026	−	4.46756i	−0.157429	−	0.689359i
$43$	−2.00474	+	11.3694i	−0.305720	+	1.73382i	0.314376	+	0.949299i	$0.398205\pi$
$43$	−2.00474	+	11.3694i	−0.305720	+	1.73382i	−0.620096	+	0.784526i	$0.712906\pi$
$44$		−	0.603733i		−	0.0910162i
$45$	−1.37030	+	9.89367i	−0.204272	+	1.47486i
$46$	6.95585			1.02558
$47$	8.82003	−	3.21023i	1.28653	−	0.468260i	0.393946	−	0.919134i	$-0.371110\pi$
$47$	8.82003	−	3.21023i	1.28653	−	0.468260i	0.892588	+	0.450874i	$0.148888\pi$
$48$	1.69990	−	0.332190i	0.245359	−	0.0479475i
$49$	−3.87512	−	5.82953i	−0.553588	−	0.832790i
$50$	3.91118	+	4.66116i	0.553124	+	0.659188i
$51$	3.99417	+	10.3742i	0.559295	+	1.45267i
$52$	0.552597	−	0.658560i	0.0766314	−	0.0913258i
$53$	2.60728	−	1.50532i	0.358138	−	0.206771i	−0.310126	−	0.950696i	$-0.600371\pi$
$53$	2.60728	−	1.50532i	0.358138	−	0.206771i	0.668264	+	0.743925i	$0.267038\pi$
$54$	−4.15919	−	3.11466i	−0.565994	−	0.423852i
$55$			2.01005i			0.271035i
$56$	2.24844	−	1.39446i	0.300460	−	0.186343i
$57$	1.45572	−	9.25088i	0.192814	−	1.22531i
$58$	1.67457	+	9.49699i	0.219882	+	1.24702i
$59$	−2.24286	+	1.88198i	−0.291995	+	0.245013i	−0.777003	−	0.629497i	$-0.783261\pi$
$59$	−2.24286	+	1.88198i	−0.291995	+	0.245013i	0.485008	+	0.874510i	$0.338817\pi$
$60$	−5.65959	+	1.10599i	−0.730650	+	0.142782i
$61$	2.28254	+	6.27124i	0.292250	+	0.802950i	0.995737	+	0.0922414i	$0.0294032\pi$
$61$	2.28254	+	6.27124i	0.292250	+	0.802950i	−0.703487	+	0.710708i	$0.748375\pi$
$62$	0.834027	−	1.44458i	0.105922	−	0.183462i
$63$	−7.62677	−	2.19828i	−0.960882	−	0.276957i
$64$	0.500000	+	0.866025i	0.0625000	+	0.108253i
$65$	−1.83980	+	2.19259i	−0.228199	+	0.271957i
$66$	−0.915093	−	0.506049i	−0.112640	−	0.0622903i
$67$	0.879889	+	4.99010i	0.107496	+	0.609637i	0.990194	+	0.139698i	$0.0446131\pi$
$67$	0.879889	+	4.99010i	0.107496	+	0.609637i	−0.882699	+	0.469939i	$0.844276\pi$
$68$	−4.91656	+	4.12548i	−0.596220	+	0.500288i
$69$	5.83040	−	10.5432i	0.701897	−	1.26925i
$70$	−7.48589	+	4.64267i	−0.894735	+	0.554906i
$71$	4.30021	−	2.48273i	0.510341	−	0.294646i	−0.222633	−	0.974902i	$-0.571465\pi$
$71$	4.30021	−	2.48273i	0.510341	−	0.294646i	0.732974	+	0.680257i	$0.238132\pi$
$72$	0.921345	−	2.85502i	0.108582	−	0.336467i
$73$		−	3.26718i		−	0.382395i	−0.981552	−	0.191197i	$-0.938763\pi$
$73$		−	3.26718i		−	0.382395i	0.981552	−	0.191197i	$-0.0612370\pi$
$74$	0.197346	+	0.0347975i	0.0229410	+	0.00404512i
$75$	10.3434	−	2.02128i	1.19435	−	0.233398i
$76$	5.32458	−	0.938867i	0.610771	−	0.107695i
$77$	−1.58102	−	0.227638i	−0.180174	−	0.0259418i
$78$	−0.535008	−	1.38959i	−0.0605777	−	0.157340i
$79$	1.06352	−	6.03151i	0.119655	−	0.678597i	−0.864685	−	0.502315i	$-0.832482\pi$
$79$	1.06352	−	6.03151i	0.119655	−	0.678597i	0.984340	−	0.176282i	$-0.0564072\pi$
$80$	−1.66469	−	2.88332i	−0.186118	−	0.322365i
$81$	−8.20721	+	3.69348i	−0.911912	+	0.410386i
$82$	−8.74926	−	5.05139i	−0.966194	−	0.557832i
$83$	−6.72213	+	2.44665i	−0.737849	+	0.268555i	−0.683484	−	0.729966i	$-0.739536\pi$
$83$	−6.72213	+	2.44665i	−0.737849	+	0.268555i	−0.0543657	+	0.998521i	$0.517314\pi$
$84$	−0.228974	−	4.57685i	−0.0249831	−	0.499375i
$85$	16.3690	−	13.7353i	1.77547	−	1.48980i
$86$	−3.94857	+	10.8486i	−0.425785	+	1.16983i
$87$	15.7984	+	5.42218i	1.69377	+	0.581319i
$88$	0.104837	−	0.594561i	0.0111757	−	0.0633804i
$89$	1.03537	+	1.79332i	0.109749	+	0.190092i	0.915669	−	0.401934i	$-0.131662\pi$
$89$	1.03537	+	1.79332i	0.109749	+	0.190092i	−0.805919	+	0.592025i	$0.798328\pi$
$90$	−3.06750	+	9.50541i	−0.323343	+	1.00196i
$91$	−1.51624	−	1.69542i	−0.158945	−	0.177729i
$92$	6.85018	+	1.20787i	0.714180	+	0.125929i
$93$	−1.49050	−	2.47500i	−0.154558	−	0.256646i
$94$	9.24348	−	1.62988i	0.953393	−	0.168109i
$95$	−17.7275	+	3.12584i	−1.81880	+	0.320704i
$96$	1.73176	−	0.0319596i	0.176747	−	0.00326187i
$97$	8.56220	+	1.50975i	0.869360	+	0.153292i	0.590497	−	0.807040i	$-0.298932\pi$
$97$	8.56220	+	1.50975i	0.869360	+	0.153292i	0.278862	+	0.960331i	$0.410043\pi$
$98$	−2.80396	−	6.41388i	−0.283243	−	0.647899i
$99$	−1.53406	+	0.962858i	−0.154179	+	0.0967709i
$100$	3.04236	+	5.26952i	0.304236	+	0.526952i
$101$	−0.750677	+	4.25730i	−0.0746952	+	0.423618i	0.924413	+	0.381393i	$0.124556\pi$
$101$	−0.750677	+	4.25730i	−0.0746952	+	0.423618i	−0.999108	+	0.0422244i	$0.986556\pi$
$102$	2.13203	+	10.9101i	0.211103	+	1.08026i
$103$	−2.05769	+	5.65347i	−0.202751	+	0.557053i	−0.998841	−	0.0481246i	$-0.984676\pi$
$103$	−2.05769	+	5.65347i	−0.202751	+	0.557053i	0.796091	+	0.605177i	$0.206898\pi$
$104$	0.658560	−	0.552597i	0.0645771	−	0.0541866i
$105$	0.762340	+	15.2380i	0.0743968	+	1.48708i
$106$	2.82907	−	1.02970i	0.274783	−	0.100013i
$107$	−12.6155	−	7.28355i	−1.21959	−	0.704128i	−0.254756	−	0.967005i	$-0.581995\pi$
$107$	−12.6155	−	7.28355i	−1.21959	−	0.704128i	−0.964829	+	0.262878i	$0.915328\pi$
$108$	−3.55515	−	3.78958i	−0.342094	−	0.364653i
$109$	0.826988	+	1.43238i	0.0792110	+	0.137198i	0.902910	−	0.429830i	$-0.141427\pi$
$109$	0.826988	+	1.43238i	0.0792110	+	0.137198i	−0.823699	+	0.567028i	$0.808093\pi$
$110$	−0.349042	+	1.97951i	−0.0332798	+	0.188739i
$111$	0.218159	−	0.269955i	0.0207067	−	0.0256230i
$112$	2.45643	−	0.982837i	0.232110	−	0.0928694i
$113$	−14.8238	+	2.61384i	−1.39451	+	0.245889i	−0.819884	−	0.572529i	$-0.805962\pi$
$113$	−14.8238	+	2.61384i	−1.39451	+	0.245889i	−0.574623	+	0.818418i	$0.694851\pi$
$114$	3.04000	−	8.85756i	0.284722	−	0.829586i
$115$	−22.8068	−	4.02145i	−2.12674	−	0.375002i
$116$			9.64349i			0.895376i
$117$	−2.55468	−	0.353830i	−0.236180	−	0.0327116i
$118$	−2.53558	+	1.46392i	−0.233419	+	0.134765i
$119$	8.94979	+	14.4307i	0.820426	+	1.32286i
$120$	−5.76566	+	0.106405i	−0.526330	+	0.00971345i
$121$	8.14727	−	6.83637i	0.740661	−	0.621488i
$122$	1.15888	+	6.57232i	0.104920	+	0.595030i
$123$	−14.9901	+	9.02739i	−1.35162	+	0.813973i
$124$	1.07221	−	1.27780i	0.0962869	−	0.114750i
$125$	−1.80571	−	3.12758i	−0.161508	−	0.279740i
$126$	−7.12917	−	3.48926i	−0.635117	−	0.310848i
$127$	−2.19320	+	3.79874i	−0.194615	+	0.337084i	−0.946774	−	0.321898i	$-0.895679\pi$
$127$	−2.19320	+	3.79874i	−0.194615	+	0.337084i	0.752159	+	0.658982i	$0.229013\pi$
$128$	0.342020	+	0.939693i	0.0302306	+	0.0830579i
$129$	13.1338	+	15.0782i	1.15637	+	1.32757i
$130$	−2.19259	+	1.83980i	−0.192303	+	0.161361i
$131$	0.604659	+	3.42919i	0.0528293	+	0.299610i	0.999762	−	0.0218226i	$-0.00694689\pi$
$131$	0.604659	+	3.42919i	0.0528293	+	0.299610i	−0.946933	+	0.321432i	$0.895836\pi$
$132$	−0.813316	−	0.657265i	−0.0707901	−	0.0572076i
$133$	−0.451016	−	14.2977i	−0.0391080	−	1.23977i
$134$			5.06708i			0.437729i
$135$	11.8364	+	12.6169i	1.01872	+	1.08589i
$136$	−5.55825	+	3.20905i	−0.476616	+	0.275174i
$137$	12.6512	−	15.0772i	1.08087	−	1.28813i	0.125700	−	0.992068i	$-0.459882\pi$
$137$	12.6512	−	15.0772i	1.08087	−	1.28813i	0.955169	−	0.296061i	$-0.0956731\pi$
$138$	7.57262	−	9.37054i	0.644624	−	0.797674i
$139$	−2.91283	−	3.47138i	−0.247063	−	0.294439i	0.628233	−	0.778025i	$-0.283778\pi$
$139$	−2.91283	−	3.47138i	−0.247063	−	0.294439i	−0.875297	+	0.483586i	$0.839334\pi$
$140$	−8.17836	+	3.27223i	−0.691197	+	0.276554i
$141$	5.27745	−	15.3767i	0.444441	−	1.29495i
$142$	4.66601	−	1.69829i	0.391562	−	0.142517i
$143$	−0.519022			−0.0434028
$144$	1.40312	−	2.65165i	0.116926	−	0.220971i
$145$		−	32.1068i		−	2.66632i
$146$	0.567340	−	3.21755i	0.0469534	−	0.266286i
$147$	−12.0719	−	1.12608i	−0.995678	−	0.0928777i
$148$	0.188306	+	0.0685376i	0.0154786	+	0.00563376i
$149$	5.66401	+	6.75011i	0.464014	+	0.552990i	0.946412	−	0.322962i	$-0.104679\pi$
$149$	5.66401	+	6.75011i	0.464014	+	0.552990i	−0.482398	+	0.875952i	$0.660234\pi$
$150$	10.5372	−	0.194465i	0.860362	−	0.0158780i
$151$	−18.0402	+	6.56609i	−1.46809	+	0.534341i	−0.947581	−	0.319515i	$-0.896480\pi$
$151$	−18.0402	+	6.56609i	−1.46809	+	0.534341i	−0.520509	+	0.853856i	$0.674258\pi$
$152$	5.40672			0.438543
$153$	18.3238	+	5.91329i	1.48139	+	0.478061i
$154$	−1.51748	−	0.498722i	−0.122282	−	0.0401881i
$155$	−3.56977	+	4.25429i	−0.286731	+	0.341712i
$156$	−0.285580	−	1.46138i	−0.0228647	−	0.117004i
$157$	−7.22038	−	8.60492i	−0.576249	−	0.686747i	0.396652	−	0.917969i	$-0.370172\pi$
$157$	−7.22038	−	8.60492i	−0.576249	−	0.686747i	−0.972901	+	0.231222i	$0.925728\pi$
$158$	2.09472	−	5.75520i	0.166647	−	0.457859i
$159$	0.810589	−	5.15118i	0.0642839	−	0.408515i
$160$	−1.13871	−	3.12859i	−0.0900231	−	0.247336i
$161$	5.74598	−	17.4834i	0.452846	−	1.37789i
$162$	−8.72389	+	2.21220i	−0.685413	+	0.173807i
$163$	−0.122279	+	0.211793i	−0.00957760	+	0.0165889i	−0.870774	−	0.491683i	$-0.836382\pi$
$163$	−0.122279	+	0.211793i	−0.00957760	+	0.0165889i	0.861197	+	0.508272i	$0.169715\pi$
$164$	−7.73917	−	6.49394i	−0.604328	−	0.507091i
$165$	2.70783	+	2.18828i	0.210804	+	0.170357i
$166$	−7.04486	+	1.24220i	−0.546787	+	0.0964133i
$167$	−2.31036	−	13.1027i	−0.178781	−	1.01392i	−0.933689	−	0.358086i	$-0.883430\pi$
$167$	−2.31036	−	13.1027i	−0.178781	−	1.01392i	0.754908	−	0.655831i	$-0.227682\pi$
$168$	0.569266	−	4.54708i	0.0439199	−	0.350815i
$169$	9.39242	+	7.88118i	0.722494	+	0.606244i
$170$	18.5055	−	10.6841i	1.41930	−	0.819436i
$171$	−10.8775	−	12.0322i	−0.831822	−	0.920126i
$172$	−5.77242	+	9.99813i	−0.440143	+	0.762350i
$173$	−11.6797	−	9.80040i	−0.887988	−	0.745110i	0.0798177	−	0.996809i	$-0.474566\pi$
$173$	−11.6797	−	9.80040i	−0.887988	−	0.745110i	−0.967806	+	0.251699i	$0.919011\pi$
$174$	14.6169	+	8.08318i	1.10810	+	0.612784i
$175$	14.9467	−	5.98029i	1.12986	−	0.452067i
$176$	0.206489	−	0.567324i	0.0155647	−	0.0427636i
$177$	0.0935727	+	5.07030i	0.00703335	+	0.381107i
$178$	0.708238	+	1.94587i	0.0530847	+	0.145849i
$179$	−1.27043	−	0.733483i	−0.0949563	−	0.0548231i	0.451770	−	0.892135i	$-0.350793\pi$
$179$	−1.27043	−	0.733483i	−0.0949563	−	0.0548231i	−0.546726	+	0.837311i	$0.684126\pi$
$180$	−4.67149	+	8.82834i	−0.348193	+	0.658026i
$181$	11.9447	+	6.89628i	0.887843	+	0.512596i	0.873236	−	0.487297i	$-0.162017\pi$
$181$	11.9447	+	6.89628i	0.887843	+	0.512596i	0.0146066	+	0.999893i	$0.495350\pi$
$182$	−1.19880	−	1.93296i	−0.0888611	−	0.143280i
$183$	10.9332	+	3.75238i	0.808206	+	0.277384i
$184$	6.53636	+	2.37904i	0.481867	+	0.175385i
$185$	−0.626939	−	0.228187i	−0.0460935	−	0.0167767i
$186$	−1.03808	−	2.69622i	−0.0761155	−	0.197697i
$187$	3.81596	+	0.672856i	0.279050	+	0.0492041i
$188$	9.38608			0.684550
$189$	−11.2644	+	7.88117i	−0.819366	+	0.573270i
$190$	−18.0010			−1.30593
$191$	−3.18597	−	0.561773i	−0.230529	−	0.0406484i	0.0571903	−	0.998363i	$-0.481786\pi$
$191$	−3.18597	−	0.561773i	−0.230529	−	0.0406484i	−0.287719	+	0.957715i	$0.592897\pi$
$192$	1.71100	+	0.269242i	0.123481	+	0.0194309i
$193$	−9.67973	−	3.52313i	−0.696762	−	0.253601i	−0.0307342	−	0.999528i	$-0.509785\pi$
$193$	−9.67973	−	3.52313i	−0.696762	−	0.253601i	−0.666028	+	0.745927i	$0.732007\pi$
$194$	8.16996	+	2.97362i	0.586569	+	0.213494i
$195$	0.950803	+	4.86548i	0.0680884	+	0.348425i
$196$	−1.64760	−	6.80334i	−0.117686	−	0.485953i
$197$	−9.59751	−	5.54112i	−0.683794	−	0.394789i	0.117489	−	0.993074i	$-0.462516\pi$
$197$	−9.59751	−	5.54112i	−0.683794	−	0.394789i	−0.801283	+	0.598286i	$0.795849\pi$
$198$	−1.67795	+	0.681843i	−0.119247	+	0.0484565i
$199$	15.2601	+	8.81045i	1.08176	+	0.624556i	0.931372	−	0.364070i	$-0.118613\pi$
$199$	15.2601	+	8.81045i	1.08176	+	0.624556i	0.150392	+	0.988626i	$0.451947\pi$
$200$	2.08110	+	5.71776i	0.147156	+	0.404307i
$201$	7.68029	+	4.24722i	0.541726	+	0.299576i
$202$	−1.47855	+	4.06227i	−0.104030	+	0.285820i
$203$	25.2539	+	3.63609i	1.77247	+	0.255204i
$204$	0.205120	+	11.1146i	0.0143613	+	0.778178i
$205$	25.7666	+	21.6207i	1.79962	+	1.51006i
$206$	−3.00815	+	5.21026i	−0.209588	+	0.363016i
$207$	−7.85579	−	19.3324i	−0.546015	−	1.34369i
$208$	0.744512	−	0.429844i	0.0516226	−	0.0298043i
$209$	−2.50053	−	2.09820i	−0.172966	−	0.145135i
$210$	−1.89530	+	15.1389i	−0.130788	+	1.04468i
$211$	−0.129723	−	0.735697i	−0.00893052	−	0.0506475i	0.980017	−	0.198914i	$-0.0637416\pi$
$211$	−0.129723	−	0.735697i	−0.00893052	−	0.0506475i	−0.988947	+	0.148267i	$0.952630\pi$
$212$	2.96489	−	0.522791i	0.203630	−	0.0359054i
$213$	1.33691	−	8.49588i	0.0916036	−	0.582128i
$214$	−11.1591	−	9.36356i	−0.762817	−	0.640080i
$215$	19.2185	−	33.2875i	1.31069	−	2.27019i
$216$	−2.84308	−	4.34935i	−0.193447	−	0.295936i
$217$	−2.94197	−	3.28963i	−0.199714	−	0.223315i
$218$	0.565693	+	1.55423i	0.0383136	+	0.105266i
$219$	−4.40137	−	3.55688i	−0.297417	−	0.240352i
$220$	−0.687478	+	1.88883i	−0.0463498	+	0.127345i
$221$	3.54663	+	4.22671i	0.238572	+	0.284319i
$222$	0.261722	−	0.227971i	0.0175656	−	0.0153004i
$223$	−2.50890	+	2.98999i	−0.168009	+	0.200225i	−0.843479	−	0.537162i	$-0.819496\pi$
$223$	−2.50890	+	2.98999i	−0.168009	+	0.200225i	0.675470	+	0.737387i	$0.263941\pi$
$224$	2.58978	−	0.541352i	0.173037	−	0.0361706i
$225$	8.53756	−	16.1346i	0.569171	−	1.07564i
$226$	−15.0525			−1.00128
$227$	19.2555	−	7.00844i	1.27803	−	0.465166i	0.388253	−	0.921553i	$-0.373079\pi$
$227$	19.2555	−	7.00844i	1.27803	−	0.465166i	0.889782	+	0.456387i	$0.150857\pi$
$228$	4.53191	−	8.19510i	0.300133	−	0.542734i
$229$	0.952327	+	1.13494i	0.0629315	+	0.0749989i	0.796592	−	0.604518i	$-0.206634\pi$
$229$	0.952327	+	1.13494i	0.0629315	+	0.0749989i	−0.733660	+	0.679516i	$0.762190\pi$
$230$	−21.7620	−	7.92071i	−1.43494	−	0.522276i
$231$	−2.02787	+	1.88205i	−0.133424	+	0.123830i
$232$	−1.67457	+	9.49699i	−0.109941	+	0.623508i
$233$		−	16.0550i		−	1.05179i	−0.850548	−	0.525897i	$-0.823730\pi$
$233$		−	16.0550i		−	1.05179i	0.850548	−	0.525897i	$-0.176270\pi$
$234$	−2.45443	−	0.792070i	−0.160451	−	0.0517792i
$235$	−31.2497			−2.03851
$236$	−2.75127	+	1.00138i	−0.179092	+	0.0651843i
$237$	−6.96750	−	7.99902i	−0.452588	−	0.519592i
$238$	6.30796	+	15.7656i	0.408884	+	1.02193i
$239$	−3.85198	−	4.59061i	−0.249164	−	0.296942i	0.626937	−	0.779070i	$-0.284308\pi$
$239$	−3.85198	−	4.59061i	−0.249164	−	0.296942i	−0.876101	+	0.482128i	$0.839864\pi$
$240$	−5.69654	−	0.896407i	−0.367710	−	0.0578628i
$241$	−16.5124	+	19.6787i	−1.06366	+	1.26761i	−0.101581	+	0.994827i	$0.532390\pi$
$241$	−16.5124	+	19.6787i	−1.06366	+	1.26761i	−0.962074	+	0.272788i	$0.912054\pi$
$242$	9.21062	−	5.31775i	0.592081	−	0.341838i
$243$	−3.95928	+	15.0773i	−0.253988	+	0.967207i
$244$			6.67371i			0.427241i
$245$	5.48548	+	22.6508i	0.350455	+	1.44711i
$246$	−16.3300	+	6.28724i	−1.04116	+	0.400859i
$247$	−0.807133	−	4.57748i	−0.0513567	−	0.291258i
$248$	1.27780	−	1.07221i	0.0811406	−	0.0680851i
$249$	−4.02217	+	11.7193i	−0.254895	+	0.742679i
$250$	−1.23518	−	3.39363i	−0.0781196	−	0.214632i
$251$	−14.3041	+	24.7754i	−0.902865	+	1.56381i	−0.0791071	+	0.996866i	$0.525207\pi$
$251$	−14.3041	+	24.7754i	−0.902865	+	1.56381i	−0.823758	+	0.566942i	$0.808126\pi$
$252$	−6.41496	−	4.67421i	−0.404105	−	0.294448i
$253$	−2.09974	−	3.63686i	−0.132009	−	0.228647i
$254$	−2.81953	+	3.36018i	−0.176913	+	0.210837i
$255$	−0.682922	−	37.0046i	−0.0427662	−	2.31732i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	16.3440	−	13.7142i	1.01951	−	0.855471i	0.0299448	−	0.999552i	$-0.490467\pi$
$257$	16.3440	−	13.7142i	1.01951	−	0.855471i	0.989566	+	0.144080i	$0.0460224\pi$
$258$	10.3160	+	17.1298i	0.642244	+	1.06646i
$259$	0.250484	−	0.467282i	0.0155643	−	0.0290355i
$260$	−2.47876	+	1.43111i	−0.153726	+	0.0887538i
$261$	24.5037	−	15.3798i	1.51674	−	0.951988i
$262$			3.48209i			0.215124i
$263$	25.9001	+	4.56689i	1.59707	+	0.281606i	0.900162	−	0.435555i	$-0.143448\pi$
$263$	25.9001	+	4.56689i	1.59707	+	0.281606i	0.696907	+	0.717161i	$0.254559\pi$
$264$	−0.686827	−	0.788511i	−0.0422713	−	0.0485295i
$265$	−9.87123	+	1.74056i	−0.606385	+	0.106922i
$266$	2.03861	−	14.1588i	0.124995	−	0.868134i
$267$	3.54304	+	0.557533i	0.216831	+	0.0341205i
$268$	−0.879889	+	4.99010i	−0.0537478	+	0.304819i
$269$	−7.20028	−	12.4713i	−0.439009	−	0.760386i	0.558604	−	0.829434i	$-0.311337\pi$
$269$	−7.20028	−	12.4713i	−0.439009	−	0.760386i	−0.997613	+	0.0690483i	$0.978004\pi$
$270$	9.46568	+	14.4806i	0.576063	+	0.881262i
$271$	−10.6999	−	6.17759i	−0.649973	−	0.375262i	0.138473	−	0.990366i	$-0.455781\pi$
$271$	−10.6999	−	6.17759i	−0.649973	−	0.375262i	−0.788446	+	0.615104i	$0.789114\pi$
$272$	−6.03105	+	2.19512i	−0.365686	+	0.133099i
$273$	−3.93467	+	0.196846i	−0.238137	+	0.0119137i
$274$	15.0772	−	12.6512i	0.910845	−	0.764290i
$275$	1.25643	−	3.45200i	0.0757653	−	0.208164i
$276$	9.08475	−	7.91321i	0.546838	−	0.476319i
$277$	1.52971	−	8.67543i	0.0919115	−	0.521256i	−0.903739	−	0.428085i	$-0.859188\pi$
$277$	1.52971	−	8.67543i	0.0919115	−	0.521256i	0.995650	−	0.0931714i	$-0.0297005\pi$
$278$	−2.26578	−	3.92445i	−0.135893	−	0.235373i
$279$	−4.95685	−	0.686536i	−0.296759	−	0.0411018i
$280$	−8.62233	+	1.80236i	−0.515283	+	0.107712i
$281$	−8.02330	−	1.41472i	−0.478630	−	0.0843954i	−0.0708720	−	0.997485i	$-0.522578\pi$
$281$	−8.02330	−	1.41472i	−0.478630	−	0.0843954i	−0.407758	+	0.913090i	$0.633689\pi$
$282$	7.86741	−	14.2267i	0.468498	−	0.847188i
$283$	−15.7779	+	2.78207i	−0.937899	+	0.165377i	−0.621646	−	0.783298i	$-0.713536\pi$
$283$	−15.7779	+	2.78207i	−0.937899	+	0.165377i	−0.316253	+	0.948675i	$0.602425\pi$
$284$	4.89002	−	0.862243i	0.290169	−	0.0511647i
$285$	−15.0884	+	27.2845i	−0.893761	+	1.61620i
$286$	−0.511137	−	0.0901273i	−0.0302242	−	0.00532934i
$287$	−19.9240	+	17.8184i	−1.17608	+	1.05179i
$288$	1.84225	−	2.36772i	0.108556	−	0.139519i
$289$	−12.0961	−	20.9510i	−0.711533	−	1.23241i
$290$	5.57528	−	31.6190i	0.327392	−	1.85673i
$291$	11.3552	−	9.89091i	0.665656	−	0.579816i
$292$	1.11744	−	3.07015i	0.0653933	−	0.179667i
$293$	−4.47981	+	3.75901i	−0.261713	+	0.219603i	−0.764197	−	0.644983i	$-0.776864\pi$
$293$	−4.47981	+	3.75901i	−0.261713	+	0.219603i	0.502483	+	0.864587i	$0.332420\pi$
$294$	−11.6930	−	3.20525i	−0.681950	−	0.186934i
$295$	9.16000	−	3.33397i	0.533316	−	0.194111i
$296$	0.173543	+	0.100195i	0.0100870	+	0.00582374i
$297$	−0.372975	+	3.11484i	−0.0216422	+	0.180741i
$298$	4.40582	+	7.63110i	0.255222	+	0.442058i
$299$	1.03839	−	5.88902i	0.0600518	−	0.340571i
$300$	10.4109	+	1.63826i	0.601075	+	0.0945851i
$301$	24.0061	+	18.8863i	1.38369	+	1.08859i
$302$	−18.9063	+	3.33369i	−1.08794	+	0.191832i
$303$	4.91797	+	5.64606i	0.282530	+	0.324358i
$304$	5.32458	+	0.938867i	0.305386	+	0.0538477i
$305$		−	22.2193i		−	1.27227i
$306$	17.0186	+	9.00535i	0.972889	+	0.514802i
$307$	−3.13274	+	1.80869i	−0.178795	+	0.103227i	−0.586726	−	0.809785i	$-0.699584\pi$
$307$	−3.13274	+	1.80869i	−0.178795	+	0.103227i	0.407931	+	0.913013i	$0.366250\pi$
$308$	−1.40782	−	0.754652i	−0.0802180	−	0.0430003i
$309$	5.37589	+	8.92676i	0.305824	+	0.507826i
$310$	−4.25429	+	3.56977i	−0.241627	+	0.202749i
$311$	1.51024	+	8.56498i	0.0856377	+	0.485676i	0.997217	+	0.0745516i	$0.0237525\pi$
$311$	1.51024	+	8.56498i	0.0856377	+	0.485676i	−0.911579	+	0.411124i	$0.865136\pi$
$312$	−0.0274753	−	1.48877i	−0.00155548	−	0.0842850i
$313$	−15.9244	+	18.9780i	−0.900101	+	1.07270i	0.0968987	+	0.995294i	$0.469108\pi$
$313$	−15.9244	+	18.9780i	−0.900101	+	1.07270i	−0.997000	+	0.0774045i	$0.975337\pi$
$314$	−5.61646	−	9.72799i	−0.316955	−	0.548982i
$315$	21.3578	+	15.5622i	1.20338	+	0.876830i
$316$	3.06228	−	5.30402i	0.172266	−	0.298374i
$317$	0.854085	+	2.34658i	0.0479702	+	0.131797i	0.961364	−	0.275280i	$-0.0887704\pi$
$317$	0.854085	+	2.34658i	0.0479702	+	0.131797i	−0.913394	+	0.407077i	$0.866548\pi$
$318$	1.69277	−	4.93216i	0.0949257	−	0.276582i
$319$	4.45998	−	3.74237i	0.249711	−	0.209533i
$320$	−0.578139	−	3.27879i	−0.0323190	−	0.183290i
$321$	−23.5461	+	9.06551i	−1.31421	+	0.505988i
$322$	8.69465	−	16.2201i	0.484534	−	0.903908i
$323$			34.7009i			1.93081i
$324$	−8.97549	+	0.663703i	−0.498639	+	0.0368724i
$325$	4.53014	−	2.61548i	0.251287	−	0.145081i
$326$	−0.157198	+	0.187342i	−0.00870641	+	0.0103759i
$327$	2.82995	+	0.445320i	0.156496	+	0.0246262i
$328$	−6.49394	−	7.73917i	−0.358568	−	0.427324i
$329$	3.53903	−	24.5798i	0.195113	−	1.35513i
$330$	2.28670	+	2.62525i	0.125879	+	0.144515i
$331$	−21.6878	+	7.89372i	−1.19207	+	0.433878i	−0.860450	−	0.509535i	$-0.829818\pi$
$331$	−21.6878	+	7.89372i	−1.19207	+	0.433878i	−0.331621	+	0.943413i	$0.607595\pi$
$332$	−7.15354			−0.392601
$333$	−0.126166	−	0.587784i	−0.00691386	−	0.0322104i
$334$		−	13.3048i		−	0.728007i
$335$	2.92948	−	16.6139i	0.160054	−	0.907714i
$336$	1.35021	−	4.37915i	0.0736600	−	0.238902i
$337$	−1.02561	−	0.373290i	−0.0558684	−	0.0203344i	0.313935	−	0.949445i	$-0.398353\pi$
$337$	−1.02561	−	0.373290i	−0.0558684	−	0.0203344i	−0.369803	+	0.929110i	$0.620575\pi$
$338$	7.88118	+	9.39242i	0.428680	+	0.510880i
$339$	−12.6170	+	22.8154i	−0.685261	+	1.23916i
$340$	20.0796	−	7.30838i	1.08897	−	0.396353i
$341$	−1.00706			−0.0545354
$342$	−8.62286	−	13.7383i	−0.466271	−	0.742880i
$343$	−18.4374	+	1.74945i	−0.995529	+	0.0944613i
$344$	−7.42088	+	8.84386i	−0.400107	+	0.476829i
$345$	−30.2465	+	26.3460i	−1.62842	+	1.41842i
$346$	−9.80040	−	11.6797i	−0.526873	−	0.627902i
$347$	−5.92323	+	16.2739i	−0.317975	+	0.873630i	0.673007	+	0.739636i	$0.265002\pi$
$347$	−5.92323	+	16.2739i	−0.317975	+	0.873630i	−0.990982	+	0.133994i	$0.957220\pi$
$348$	12.9912	+	10.4986i	0.696401	+	0.562782i
$349$	5.35179	+	14.7039i	0.286475	+	0.787082i	0.996553	+	0.0829596i	$0.0264373\pi$
$349$	5.35179	+	14.7039i	0.286475	+	0.787082i	−0.710078	+	0.704123i	$0.751341\pi$
$350$	15.7580	−	3.29397i	0.842303	−	0.176070i
$351$	−3.25786	+	3.05632i	−0.173892	+	0.163134i
$352$	0.301867	−	0.522848i	0.0160895	−	0.0278679i
$353$	20.7713	+	17.4292i	1.10554	+	0.927662i	0.997785	−	0.0665150i	$-0.0211880\pi$
$353$	20.7713	+	17.4292i	1.10554	+	0.927662i	0.107759	+	0.994177i	$0.465632\pi$
$354$	−0.788298	+	5.00952i	−0.0418976	+	0.266253i
$355$	−16.2807	+	2.87073i	−0.864090	+	0.152362i
$356$	0.359582	+	2.03929i	0.0190578	+	0.108082i
$357$	29.1837	+	3.65361i	1.54456	+	0.193370i
$358$	−1.12376	−	0.942947i	−0.0593926	−	0.0498363i
$359$	6.37276	−	3.67931i	0.336341	−	0.194187i	−0.322312	−	0.946634i	$-0.604460\pi$
$359$	6.37276	−	3.67931i	0.336341	−	0.194187i	0.658653	+	0.752447i	$0.271127\pi$
$360$	−6.13355	+	7.88302i	−0.323266	+	0.415472i
$361$	5.11631	−	8.86172i	0.269280	−	0.466406i
$362$	10.5657	+	8.86569i	0.555322	+	0.465970i
$363$	−0.339907	−	18.4181i	−0.0178405	−	0.966700i
$364$	−0.844934	−	2.11176i	−0.0442866	−	0.110686i
$365$	−3.72038	+	10.2217i	−0.194734	+	0.535026i
$366$	10.1155	+	5.59391i	0.528746	+	0.292398i
$367$	4.83497	+	13.2840i	0.252384	+	0.693418i	0.999585	+	0.0288202i	$0.00917502\pi$
$367$	4.83497	+	13.2840i	0.252384	+	0.693418i	−0.747201	+	0.664598i	$0.768603\pi$
$368$	6.02395	+	3.47793i	0.314020	+	0.181299i
$369$	−4.15809	+	30.0217i	−0.216461	+	1.56287i
$370$	−0.577790	−	0.333587i	−0.0300379	−	0.0173424i
$371$	−0.251140	−	7.96142i	−0.0130385	−	0.413336i
$372$	−0.554112	−	2.83552i	−0.0287294	−	0.147015i
$373$	−26.5763	−	9.67297i	−1.37607	−	0.500847i	−0.455083	−	0.890449i	$-0.650390\pi$
$373$	−26.5763	−	9.67297i	−1.37607	−	0.500847i	−0.920983	+	0.389602i	$0.872613\pi$
$374$	3.64114	+	1.32527i	0.188279	+	0.0685280i
$375$	−6.17913	−	0.972347i	−0.319089	−	0.0502118i
$376$	9.24348	+	1.62988i	0.476696	+	0.0840544i
$377$	8.29040			0.426977
$378$	−12.4618	+	5.80539i	−0.640968	+	0.298597i
$379$	20.3182			1.04368			0.521839	−	0.853044i	$-0.325246\pi$
$379$	20.3182			1.04368			0.521839	+	0.853044i	$0.325246\pi$
$380$	−17.7275	−	3.12584i	−0.909402	−	0.160352i
$381$	2.72978	+	7.09013i	0.139851	+	0.363238i
$382$	−3.04002	−	1.10648i	−0.155541	−	0.0566123i
$383$	11.0050	+	4.00550i	0.562331	+	0.204672i	0.607517	−	0.794307i	$-0.292166\pi$
$383$	11.0050	+	4.00550i	0.562331	+	0.204672i	−0.0451859	+	0.998979i	$0.514388\pi$
$384$	1.63825	+	0.562263i	0.0836015	+	0.0286929i
$385$	4.68715	+	2.51252i	0.238880	+	0.128050i
$386$	−8.92088	−	5.15047i	−0.454061	−	0.262152i
$387$	34.6109	−	1.27793i	1.75937	−	0.0649607i
$388$	7.52947	+	4.34714i	0.382251	+	0.220693i
$389$	5.10551	+	14.0273i	0.258860	+	0.711211i	0.999238	+	0.0390210i	$0.0124239\pi$
$389$	5.10551	+	14.0273i	0.258860	+	0.711211i	−0.740379	+	0.672190i	$0.765354\pi$
$390$	0.0914756	+	4.95667i	0.00463205	+	0.250991i
$391$	−15.2690	+	41.9511i	−0.772184	+	2.12156i
$392$	−0.441185	−	6.98608i	−0.0222832	−	0.352850i
$393$	5.27789	+	2.91869i	0.266234	+	0.147228i
$394$	−8.48949	−	7.12353i	−0.427694	−	0.358878i
$395$	−10.1955	+	17.6590i	−0.512989	+	0.888523i
$396$	−1.77086	+	0.380111i	−0.0889893	+	0.0191013i
$397$	−6.25834	+	3.61325i	−0.314097	+	0.181344i	−0.648758	−	0.760995i	$-0.724711\pi$
$397$	−6.25834	+	3.61325i	−0.314097	+	0.181344i	0.334661	+	0.942338i	$0.391378\pi$
$398$	13.4984	+	11.3265i	0.676613	+	0.567746i
$399$	−19.7521	−	14.9579i	−0.988843	−	0.748832i
$400$	1.05660	+	5.99228i	0.0528300	+	0.299614i
$401$	−24.5320	+	4.32566i	−1.22507	+	0.216013i	−0.748508	−	0.663126i	$-0.769229\pi$
$401$	−24.5320	+	4.32566i	−1.22507	+	0.216013i	−0.476564	+	0.879140i	$0.658118\pi$
$402$	6.82609	+	5.51637i	0.340454	+	0.275131i
$403$	−1.09851	−	0.921762i	−0.0547209	−	0.0459163i
$404$	−2.16149	+	3.74381i	−0.107538	+	0.186262i
$405$	29.8828	−	2.20971i	1.48489	−	0.109802i
$406$	24.2388	+	7.96614i	1.20295	+	0.395353i
$407$	−0.0413784	−	0.113686i	−0.00205105	−	0.00563522i
$408$	−1.72803	+	10.9814i	−0.0855500	+	0.543658i
$409$	−12.1539	+	33.3927i	−0.600973	+	1.65116i	0.148333	+	0.988937i	$0.452609\pi$
$409$	−12.1539	+	33.3927i	−0.600973	+	1.65116i	−0.749307	+	0.662223i	$0.769613\pi$
$410$	21.6207	+	25.7666i	1.06777	+	1.27252i
$411$	−6.53812	−	33.4571i	−0.322502	−	1.65032i
$412$	−3.86720	+	4.60875i	−0.190523	+	0.227057i
$413$	1.58499	+	7.58245i	0.0779923	+	0.373108i
$414$	−4.37941	−	20.4028i	−0.215236	−	1.00274i
$415$	23.8168			1.16912
$416$	0.807843	−	0.294031i	0.0396078	−	0.0144160i
$417$	−7.84757	+	0.144827i	−0.384297	+	0.00709222i
$418$	−2.09820	−	2.50053i	−0.102626	−	0.122305i
$419$	8.74196	+	3.18181i	0.427073	+	0.155442i	0.546609	−	0.837388i	$-0.315919\pi$
$419$	8.74196	+	3.18181i	0.427073	+	0.155442i	−0.119536	+	0.992830i	$0.538141\pi$
$420$	−4.49535	+	14.5798i	−0.219351	+	0.711422i
$421$	−3.03378	+	17.2054i	−0.147857	+	0.838541i	0.817171	+	0.576395i	$0.195541\pi$
$421$	−3.03378	+	17.2054i	−0.147857	+	0.838541i	−0.965028	+	0.262146i	$0.915570\pi$
$422$		−	0.747046i		−	0.0363656i
$423$	−14.9693	−	23.8497i	−0.727833	−	1.15961i
$424$	3.01063			0.146209
$425$	−36.6972	+	13.3567i	−1.78008	+	0.647895i
$426$	2.79189	−	8.13466i	0.135268	−	0.394126i
$427$	17.4768	+	2.51633i	0.845760	+	0.121774i
$428$	−9.36356	−	11.1591i	−0.452605	−	0.539393i
$429$	−0.565044	+	0.699199i	−0.0272806	+	0.0337576i
$430$	24.7069	−	29.4445i	1.19147	−	1.41994i
$431$	−11.0528	+	6.38135i	−0.532396	+	0.307379i	−0.741992	−	0.670409i	$-0.766119\pi$
$431$	−11.0528	+	6.38135i	−0.532396	+	0.307379i	0.209596	+	0.977788i	$0.432785\pi$
$432$	−2.04463	−	4.77697i	−0.0983725	−	0.229832i
$433$		−	0.242505i		−	0.0116540i	−0.999983	−	0.00582701i	$-0.998145\pi$
$433$		−	0.242505i		−	0.0116540i	0.999983	−	0.00582701i	$-0.00185481\pi$
$434$	−2.32604	−	3.75052i	−0.111653	−	0.180031i
$435$	−43.2525	−	34.9536i	−2.07380	−	1.67590i
$436$	0.287210	+	1.62885i	0.0137549	+	0.0780077i
$437$	28.8097	−	24.1742i	1.37815	−	1.15641i
$438$	−3.71686	−	4.26713i	−0.177598	−	0.203891i
$439$	−6.96882	−	19.1467i	−0.332604	−	0.913821i	−0.987432	−	0.158043i	$-0.949481\pi$
$439$	−6.96882	−	19.1467i	−0.332604	−	0.913821i	0.654829	−	0.755777i	$-0.272741\pi$
$440$	−1.00503	+	1.74076i	−0.0479127	+	0.0829873i
$441$	−14.6593	+	15.0367i	−0.698064	+	0.716035i
$442$	2.75879	+	4.77836i	0.131222	+	0.227283i
$443$	−0.147304	+	0.175551i	−0.00699865	+	0.00834066i	−0.769532	−	0.638608i	$-0.779511\pi$
$443$	−0.147304	+	0.175551i	−0.00699865	+	0.00834066i	0.762534	+	0.646948i	$0.223955\pi$
$444$	0.297333	−	0.179060i	0.0141108	−	0.00849782i
$445$	−1.19718	−	6.78955i	−0.0567518	−	0.321856i
$446$	−2.98999	+	2.50890i	−0.141580	+	0.118800i
$447$	15.2596	−	0.281617i	0.721755	−	0.0133200i
$448$	2.64444	−	0.0834176i	0.124938	−	0.00394111i
$449$	12.0542	−	6.95952i	0.568875	−	0.328440i	−0.187825	−	0.982202i	$-0.560144\pi$
$449$	12.0542	−	6.95952i	0.568875	−	0.328440i	0.756700	+	0.653763i	$0.226810\pi$
$450$	11.2096	−	14.4069i	0.528425	−	0.679148i
$451$			6.09938i			0.287209i
$452$	−14.8238	−	2.61384i	−0.697253	−	0.122945i
$453$	−10.7943	+	31.4511i	−0.507161	+	1.47770i
$454$	20.1800	−	3.55828i	0.947094	−	0.166998i
$455$	2.81310	+	7.03084i	0.131880	+	0.329611i
$456$	5.88613	−	7.28364i	0.275643	−	0.341088i
$457$	6.59137	−	37.3815i	0.308331	−	1.74863i	−0.299063	−	0.954233i	$-0.596674\pi$
$457$	6.59137	−	37.3815i	0.308331	−	1.74863i	0.607395	−	0.794400i	$-0.292215\pi$
$458$	0.740779	+	1.28307i	0.0346143	+	0.0599537i
$459$	27.9146	−	18.2472i	1.30294	−	0.851707i
$460$	−20.0560	−	11.5793i	−0.935114	−	0.539888i
$461$	−6.65653	+	2.42278i	−0.310026	+	0.112840i	−0.492347	−	0.870399i	$-0.663861\pi$
$461$	−6.65653	+	2.42278i	−0.310026	+	0.112840i	0.182322	+	0.983239i	$0.441639\pi$
$462$	−2.32388	+	1.50132i	−0.108117	+	0.0698476i
$463$	26.1071	−	21.9064i	1.21330	−	1.01808i	0.214150	−	0.976801i	$-0.431302\pi$
$463$	26.1071	−	21.9064i	1.21330	−	1.01808i	0.999148	−	0.0412771i	$-0.0131426\pi$
$464$	−3.29827	+	9.06192i	−0.153118	+	0.420689i
$465$	1.84484	+	9.44050i	0.0855526	+	0.437793i
$466$	2.78791	−	15.8110i	0.129148	−	0.732432i
$467$	7.84396	+	13.5861i	0.362975	+	0.628692i	0.988449	−	0.151553i	$-0.0484276\pi$
$467$	7.84396	+	13.5861i	0.362975	+	0.628692i	−0.625474	+	0.780245i	$0.715094\pi$
$468$	−2.27960	−	1.20624i	−0.105374	−	0.0557586i
$469$	12.7360	+	4.18573i	0.588095	+	0.193279i
$470$	−30.7750	−	5.42646i	−1.41954	−	0.250304i
$471$	−19.4527	+	0.359000i	−0.896332	+	0.0165418i
$472$	−2.88336	+	0.508414i	−0.132717	+	0.0234017i
$473$	6.86411	−	1.21033i	0.315612	−	0.0556510i
$474$	−5.47263	−	9.08739i	−0.251366	−	0.417398i
$475$	32.3986	+	5.71274i	1.48655	+	0.262118i
$476$	3.47445	+	16.6215i	0.159251	+	0.761844i
$477$	−6.05692	−	6.69991i	−0.277327	−	0.306768i
$478$	−2.99631	−	5.18976i	−0.137048	−	0.237374i
$479$	−0.519074	+	2.94381i	−0.0237171	+	0.134506i	−0.994367	−	0.105990i	$-0.966199\pi$
$479$	−0.519074	+	2.94381i	−0.0237171	+	0.134506i	0.970650	+	0.240496i	$0.0773101\pi$
$480$	−5.45434	−	1.87198i	−0.248955	−	0.0854439i
$481$	0.0589210	−	0.161884i	0.00268657	−	0.00738128i
$482$	−19.6787	+	16.5124i	−0.896339	+	0.752118i
$483$	−17.2973	−	26.7743i	−0.787054	−	1.21828i
$484$	9.99411	−	3.63756i	0.454278	−	0.165344i
$485$	−25.0684	−	14.4733i	−1.13830	−	0.657197i
$486$	−6.51727	+	14.1607i	−0.295629	+	0.642342i
$487$	9.31332	+	16.1311i	0.422027	+	0.730972i	0.996138	−	0.0878056i	$-0.0279854\pi$
$487$	9.31332	+	16.1311i	0.422027	+	0.730972i	−0.574111	+	0.818778i	$0.694652\pi$
$488$	−1.15888	+	6.57232i	−0.0524599	+	0.297515i
$489$	0.152195	+	0.395299i	0.00688248	+	0.0178760i
$490$	1.46887	+	23.2593i	0.0663567	+	1.05075i
$491$	20.9716	−	3.69786i	0.946436	−	0.166882i	0.320931	−	0.947102i	$-0.396004\pi$
$491$	20.9716	−	3.69786i	0.946436	−	0.166882i	0.625505	+	0.780220i	$0.284893\pi$
$492$	−17.1737	+	3.35604i	−0.774249	+	0.151302i
$493$	−60.9527	−	10.7476i	−2.74517	−	0.484048i
$494$		−	4.64810i		−	0.209128i
$495$	5.89586	−	1.26553i	0.264999	−	0.0568813i
$496$	1.44458	−	0.834027i	0.0648635	−	0.0374489i
$497$	−0.414207	−	13.1308i	−0.0185797	−	0.588999i
$498$	−5.99610	+	10.8428i	−0.268691	+	0.485877i
$499$	−4.81479	+	4.04009i	−0.215540	+	0.180859i	−0.744165	−	0.667996i	$-0.767152\pi$
$499$	−4.81479	+	4.04009i	−0.215540	+	0.180859i	0.528625	+	0.848855i	$0.322708\pi$
$500$	−0.627117	−	3.55656i	−0.0280455	−	0.159054i
$501$	−20.1664	−	11.1521i	−0.900970	−	0.498239i
$502$	−18.3890	+	21.9151i	−0.820739	+	0.978119i
$503$	−19.6923	−	34.1080i	−0.878034	−	1.52080i	−0.853495	−	0.521101i	$-0.825521\pi$
$503$	−19.6923	−	34.1080i	−0.878034	−	1.52080i	−0.0245394	−	0.999699i	$-0.507812\pi$
$504$	−5.50583	−	5.71715i	−0.245249	−	0.254662i
$505$	7.19640	−	12.4645i	0.320236	−	0.554665i
$506$	−1.43631	−	3.94622i	−0.0638516	−	0.175431i
$507$	20.8423	−	4.07296i	0.925640	−	0.180887i
$508$	−3.36018	+	2.81953i	−0.149084	+	0.125096i
$509$	−3.44768	−	19.5528i	−0.152816	−	0.866662i	−0.960755	−	0.277397i	$-0.910528\pi$
$509$	−3.44768	−	19.5528i	−0.152816	−	0.866662i	0.807940	−	0.589265i	$-0.200583\pi$
$510$	5.75324	−	36.5610i	0.254758	−	1.61895i
$511$	−7.61860	−	4.08390i	−0.337027	−	0.180661i
$512$			1.00000i			0.0441942i
$513$	−28.0511	+	1.55447i	−1.23849	+	0.0686313i
$514$	18.4772	−	10.6678i	0.814992	−	0.470536i
$515$	12.8753	−	15.3442i	0.567355	−	0.676148i
$516$	7.18467	+	18.6609i	0.316288	+	0.821502i
$517$	−3.64248	−	4.34093i	−0.160196	−	0.190914i
$518$	0.327821	−	0.416687i	0.0144036	−	0.0183082i
$519$	−25.9178	+	5.06481i	−1.13767	+	0.222320i
$520$	−2.68961	+	0.978938i	−0.117947	+	0.0429293i
$521$	−0.249550			−0.0109330			−0.00546648	−	0.999985i	$-0.501740\pi$
$521$	−0.249550			−0.0109330			−0.00546648	+	0.999985i	$0.501740\pi$
$522$	26.8022	−	10.8912i	1.17310	−	0.476693i
$523$			32.8831i			1.43788i	0.695074	+	0.718938i	$0.255372\pi$
$523$			32.8831i			1.43788i	−0.695074	+	0.718938i	$0.744628\pi$
$524$	−0.604659	+	3.42919i	−0.0264146	+	0.149805i
$525$	8.21564	−	26.6459i	0.358560	−	1.16292i
$526$	24.7136	+	8.99501i	1.07756	+	0.392201i
$527$	6.88153	+	8.20109i	0.299764	+	0.357245i
$528$	−0.539469	−	0.895798i	−0.0234774	−	0.0389846i
$529$	23.8531	−	8.68180i	1.03709	−	0.377470i
$530$	−10.0235			−0.435393
$531$	6.93231	+	5.39383i	0.300836	+	0.234072i
$532$	4.46629	−	13.5897i	0.193638	−	0.589189i
$533$	−5.58276	+	6.65328i	−0.241816	+	0.288186i
$534$	3.39240	+	1.16431i	0.146804	+	0.0503844i
$535$	31.1748	+	37.1526i	1.34780	+	1.60625i
$536$	−1.73304	+	4.76150i	−0.0748560	+	0.205665i
$537$	−2.37118	+	0.912933i	−0.102324	+	0.0393960i
$538$	−4.92528	−	13.5321i	−0.212344	−	0.583411i
$539$	−2.50706	+	3.40218i	−0.107987	+	0.146542i
$540$	6.80735	+	15.9043i	0.292942	+	0.684413i
$541$	−5.24916	+	9.09182i	−0.225679	+	0.390888i	−0.956523	−	0.291657i	$-0.905793\pi$
$541$	−5.24916	+	9.09182i	−0.225679	+	0.390888i	0.730844	+	0.682545i	$0.239127\pi$
$542$	−9.46462	−	7.94176i	−0.406540	−	0.341128i
$543$	22.2941	−	8.58349i	0.956732	−	0.368353i
$544$	−6.32060	+	1.11449i	−0.270994	+	0.0477835i
$545$	−0.956228	−	5.42304i	−0.0409603	−	0.232297i
$546$	−3.90907	−	0.489392i	−0.167293	−	0.0209440i
$547$	−23.7334	−	19.9147i	−1.01477	−	0.851490i	−0.0258059	−	0.999667i	$-0.508215\pi$
$547$	−23.7334	−	19.9147i	−1.01477	−	0.851490i	−0.988961	+	0.148177i	$0.952660\pi$
$548$	17.0450	−	9.84092i	0.728125	−	0.420383i
$549$	16.9576	−	10.6435i	0.723734	−	0.454254i
$550$	1.83677	−	3.18138i	0.0783202	−	0.135655i
$551$	39.9413	+	33.5147i	1.70156	+	1.42778i
$552$	10.3208	−	6.21544i	0.439285	−	0.264547i
$553$	−12.7352	−	10.0192i	−0.541558	−	0.426060i
$554$	3.01295	−	8.27800i	0.128008	−	0.351699i
$555$	−0.989931	+	0.596158i	−0.0420202	+	0.0253055i
$556$	−1.54989	−	4.25828i	−0.0657299	−	0.180591i
$557$	13.2731	+	7.66321i	0.562398	+	0.324701i	0.754108	−	0.656751i	$-0.228070\pi$
$557$	13.2731	+	7.66321i	0.562398	+	0.324701i	−0.191709	+	0.981452i	$0.561403\pi$
$558$	−4.76233	−	1.53685i	−0.201605	−	0.0650602i
$559$	8.59528	+	4.96248i	0.363541	+	0.209891i
$560$	−8.80431	+	0.277728i	−0.372050	+	0.0117362i
$561$	5.06075	−	4.40813i	0.213665	−	0.186111i
$562$	−7.65575	−	2.78646i	−0.322938	−	0.117540i
$563$	6.78028	+	2.46782i	0.285755	+	0.104006i	0.480921	−	0.876764i	$-0.340302\pi$
$563$	6.78028	+	2.46782i	0.285755	+	0.104006i	−0.195166	+	0.980770i	$0.562525\pi$
$564$	10.2183	−	12.6444i	0.430269	−	0.532426i
$565$	49.3540	+	8.70244i	2.07634	+	0.366114i
$566$	−16.0213			−0.673426
$567$	−1.64615	+	23.7548i	−0.0691318	+	0.997608i
$568$	4.96546			0.208346
$569$	−31.7772	−	5.60318i	−1.33217	−	0.234898i	−0.538182	−	0.842829i	$-0.680889\pi$
$569$	−31.7772	−	5.60318i	−1.33217	−	0.234898i	−0.793990	+	0.607931i	$0.792000\pi$
$570$	−19.5971	+	24.2499i	−0.820833	+	1.01572i
$571$	−28.3138	−	10.3054i	−1.18490	−	0.431267i	−0.326968	−	0.945035i	$-0.606027\pi$
$571$	−28.3138	−	10.3054i	−1.18490	−	0.431267i	−0.857929	+	0.513768i	$0.828249\pi$
$572$	−0.487722	−	0.177516i	−0.0203927	−	0.00742232i
$573$	−4.22526	+	3.68038i	−0.176513	+	0.153750i
$574$	−22.7155	+	14.0879i	−0.948126	+	0.588018i
$575$	36.6540	+	21.1622i	1.52858	+	0.882524i
$576$	2.22542	−	2.01185i	0.0927257	−	0.0838269i
$577$	16.9935	+	9.81121i	0.707449	+	0.408446i	0.810116	−	0.586270i	$-0.199404\pi$
$577$	16.9935	+	9.81121i	0.707449	+	0.408446i	−0.102666	+	0.994716i	$0.532737\pi$
$578$	−8.27419	−	22.7332i	−0.344161	−	0.945575i
$579$	−15.2842	+	9.20447i	−0.635189	+	0.382525i
$580$	10.9812	−	30.1705i	0.455968	−	1.25276i
$581$	−2.69725	+	18.7333i	−0.111901	+	0.777188i
$582$	12.9003	−	7.76883i	0.534734	−	0.322028i
$583$	−1.39238	−	1.16834i	−0.0576663	−	0.0483878i
$584$	1.63359	−	2.82946i	0.0675985	−	0.117084i
$585$	7.58962	+	4.01603i	0.313792	+	0.166042i
$586$	−5.06450	+	2.92399i	−0.209212	+	0.120789i
$587$	−8.08021	−	6.78010i	−0.333506	−	0.279845i	0.460621	−	0.887597i	$-0.347627\pi$
$587$	−8.08021	−	6.78010i	−0.333506	−	0.279845i	−0.794127	+	0.607752i	$0.792071\pi$
$588$	−10.9588	−	5.18702i	−0.451932	−	0.213909i
$589$	−1.56608	−	8.88169i	−0.0645293	−	0.365964i
$590$	9.59978	−	1.69270i	0.395217	−	0.0696873i
$591$	−17.9132	+	6.89679i	−0.736851	+	0.283696i
$592$	0.153508	+	0.128809i	0.00630915	+	0.00529400i
$593$	−15.7209	+	27.2293i	−0.645579	+	1.11818i	0.338589	+	0.940934i	$0.390050\pi$
$593$	−15.7209	+	27.2293i	−0.645579	+	1.11818i	−0.984168	+	0.177241i	$0.943283\pi$
$594$	−0.908195	+	3.00275i	−0.0372637	+	0.123204i
$595$	−11.5678	−	55.3390i	−0.474232	−	2.26868i
$596$	3.01376	+	8.28023i	0.123448	+	0.339171i
$597$	28.4822	−	10.9660i	1.16570	−	0.448807i
$598$	2.04524	−	5.61924i	0.0836359	−	0.229788i
$599$	−29.8000	−	35.5142i	−1.21759	−	1.45107i	−0.854606	−	0.519277i	$-0.826201\pi$
$599$	−29.8000	−	35.5142i	−1.21759	−	1.45107i	−0.362988	−	0.931794i	$-0.618243\pi$
$600$	9.96828	+	3.42121i	0.406953	+	0.139670i
$601$	18.4897	−	22.0351i	0.754209	−	0.898831i	−0.243258	−	0.969962i	$-0.578216\pi$
$601$	18.4897	−	22.0351i	0.754209	−	0.898831i	0.997467	+	0.0711307i	$0.0226607\pi$
$602$	20.3618	+	22.7680i	0.829884	+	0.927954i
$603$	14.0829	−	5.72265i	0.573501	−	0.233044i
$604$	−19.1980			−0.781154
$605$	−33.2741	+	12.1108i	−1.35278	+	0.492373i
$606$	3.86282	+	6.41428i	0.156916	+	0.260562i
$607$	2.33493	+	2.78266i	0.0947717	+	0.112945i	0.811346	−	0.584566i	$-0.198735\pi$
$607$	2.33493	+	2.78266i	0.0947717	+	0.112945i	−0.716574	+	0.697511i	$0.754291\pi$
$608$	5.08066	+	1.84921i	0.206048	+	0.0749953i
$609$	32.3914	−	30.0621i	1.31257	−	1.21818i
$610$	3.85834	−	21.8817i	0.156219	−	0.885964i
$611$		−	8.06911i		−	0.326441i
$612$	15.1963	+	11.8238i	0.614273	+	0.477948i
$613$	36.0893			1.45763			0.728817	−	0.684708i	$-0.240070\pi$
$613$	36.0893			1.45763			0.728817	+	0.684708i	$0.240070\pi$
$614$	−3.39922	+	1.23722i	−0.137181	+	0.0499300i
$615$	57.1775	−	11.1735i	2.30562	−	0.450560i
$616$	−1.25539	−	0.987652i	−0.0505810	−	0.0397936i
$617$	7.68526	+	9.15894i	0.309397	+	0.368725i	0.898227	−	0.439532i	$-0.144856\pi$
$617$	7.68526	+	9.15894i	0.309397	+	0.368725i	−0.588830	+	0.808257i	$0.700411\pi$
$618$	3.74411	+	9.72466i	0.150610	+	0.391183i
$619$	20.7896	−	24.7760i	0.835603	−	0.995833i	−0.164353	−	0.986402i	$-0.552554\pi$
$619$	20.7896	−	24.7760i	0.835603	−	0.995833i	0.999956	−	0.00943098i	$-0.00300202\pi$
$620$	−4.80954	+	2.77679i	−0.193156	+	0.111518i
$621$	−34.5959	−	10.4637i	−1.38829	−	0.419893i
$622$			8.69711i			0.348722i
$623$	5.47596	−	0.172737i	0.219390	−	0.00692056i
$624$	0.231464	−	1.47092i	0.00926599	−	0.0588841i
$625$	−3.19509	−	18.1203i	−0.127804	−	0.724811i
$626$	−18.9780	+	15.9244i	−0.758513	+	0.636468i
$627$	−5.54883	+	1.08434i	−0.221599	+	0.0433044i
$628$	−3.84188	−	10.5555i	−0.153308	−	0.421210i
$629$	−0.643065	+	1.11382i	−0.0256407	+	0.0444109i
$630$	18.3310	+	19.0345i	0.730323	+	0.758353i
$631$	−6.65787	−	11.5318i	−0.265045	−	0.459072i	0.702530	−	0.711654i	$-0.252054\pi$
$631$	−6.65787	−	11.5318i	−0.265045	−	0.459072i	−0.967576	+	0.252582i	$0.918720\pi$
$632$	3.93679	−	4.69168i	0.156597	−	0.186625i
$633$	−1.13232	−	0.626174i	−0.0450055	−	0.0248882i
$634$	0.433630	+	2.45924i	0.0172217	+	0.0976689i
$635$	11.1873	−	9.38726i	0.443954	−	0.372522i
$636$	2.52351	−	4.56329i	0.100064	−	0.180946i
$637$	−5.84875	+	1.41643i	−0.231736	+	0.0561208i
$638$	5.04208	−	2.91105i	0.199618	−	0.115249i
$639$	−9.98973	−	11.0502i	−0.395188	−	0.437140i
$640$		−	3.32937i		−	0.131605i
$641$	20.5399	+	3.62175i	0.811279	+	0.143050i	0.563873	−	0.825862i	$-0.309311\pi$
$641$	20.5399	+	3.62175i	0.811279	+	0.143050i	0.247406	+	0.968912i	$0.420422\pi$
$642$	−24.7626	+	4.83905i	−0.977301	+	0.190982i
$643$	−18.7310	+	3.30277i	−0.738677	+	0.130249i	−0.530312	−	0.847803i	$-0.677925\pi$
$643$	−18.7310	+	3.30277i	−0.738677	+	0.130249i	−0.208365	+	0.978051i	$0.566814\pi$
$644$	11.3791	−	14.4638i	0.448401	−	0.569955i
$645$	−23.9205	−	62.1292i	−0.941867	−	2.44633i
$646$	−6.02575	+	34.1737i	−0.237080	+	1.34455i
$647$	13.7693	+	23.8491i	0.541326	+	0.937604i	0.998828	+	0.0483958i	$0.0154109\pi$
$647$	13.7693	+	23.8491i	0.541326	+	0.937604i	−0.457502	+	0.889209i	$0.651256\pi$
$648$	−8.95439	−	0.904958i	−0.351762	−	0.0355501i
$649$	1.53082	+	0.883817i	0.0600898	+	0.0346929i
$650$	4.91550	−	1.78909i	0.192802	−	0.0701740i
$651$	−7.63444	+	0.381941i	−0.299217	+	0.0149695i
$652$	−0.187342	+	0.157198i	−0.00733687	+	0.00615636i
$653$	10.1627	−	27.9217i	0.397696	−	1.09266i	−0.565707	−	0.824606i	$-0.691397\pi$
$653$	10.1627	−	27.9217i	0.397696	−	1.09266i	0.963404	−	0.268055i	$-0.0863810\pi$
$654$	2.70962	+	0.929969i	0.105955	+	0.0363647i
$655$	2.01313	−	11.4170i	0.0786596	−	0.446101i
$656$	−5.05139	−	8.74926i	−0.197224	−	0.341601i
$657$	−9.58326	+	2.05702i	−0.373879	+	0.0802520i
$658$	7.75350	−	23.5918i	0.302263	−	0.919704i
$659$	−41.2359	−	7.27099i	−1.60632	−	0.283238i	−0.702673	−	0.711513i	$-0.748010\pi$
$659$	−41.2359	−	7.27099i	−1.60632	−	0.283238i	−0.903648	+	0.428275i	$0.859121\pi$
$660$	1.79609	+	2.98244i	0.0699128	+	0.116091i
$661$	−15.6774	+	2.76434i	−0.609779	+	0.107520i	−0.470006	−	0.882663i	$-0.655748\pi$
$661$	−15.6774	+	2.76434i	−0.609779	+	0.107520i	−0.139773	+	0.990184i	$0.544637\pi$
$662$	−22.7291	+	4.00775i	−0.883390	+	0.155766i
$663$	9.55509	−	0.176340i	0.371089	−	0.00684846i
$664$	−7.04486	−	1.24220i	−0.273394	−	0.0482067i
$665$	−14.8700	+	45.2452i	−0.576632	+	1.75454i
$666$	−0.0221818	−	0.600763i	−0.000859525	−	0.0232791i
$667$	33.5394	+	58.0919i	1.29865	+	2.24933i
$668$	2.31036	−	13.1027i	0.0893904	−	0.506958i
$669$	1.29659	+	6.63497i	0.0501292	+	0.256523i
$670$	5.76994	−	15.8528i	0.222912	−	0.612447i
$671$	3.08650	−	2.58988i	0.119153	−	0.0999813i
$672$	2.09013	−	4.07816i	0.0806285	−	0.157318i
$673$	28.1318	−	10.2391i	1.08440	−	0.394689i	0.262856	−	0.964835i	$-0.415336\pi$
$673$	28.1318	−	10.2391i	1.08440	−	0.394689i	0.821544	+	0.570146i	$0.193113\pi$
$674$	−0.945204	−	0.545714i	−0.0364079	−	0.0210201i
$675$	−12.4410	−	29.0665i	−0.478855	−	1.11877i
$676$	6.13047	+	10.6183i	0.235787	+	0.408395i
$677$	1.99323	−	11.3042i	0.0766059	−	0.434454i	−0.922248	−	0.386598i	$-0.873650\pi$
$677$	1.99323	−	11.3042i	0.0766059	−	0.434454i	0.998854	−	0.0478558i	$-0.0152388\pi$
$678$	−16.3872	+	20.2779i	−0.629346	+	0.778768i
$679$	14.2231	−	18.0787i	0.545831	−	0.693796i
$680$	21.0436	−	3.71056i	0.806987	−	0.142294i
$681$	11.5215	−	33.5699i	0.441505	−	1.28640i
$682$	−0.991760	−	0.174874i	−0.0379765	−	0.00669628i
$683$		−	16.3780i		−	0.626688i	−0.949640	−	0.313344i	$-0.898551\pi$
$683$		−	16.3780i		−	0.626688i	0.949640	−	0.313344i	$-0.101449\pi$
$684$	−6.10624	−	15.0269i	−0.233478	−	0.574568i
$685$	−56.7491	+	32.7641i	−2.16827	+	1.25185i
$686$	−18.4611	−	1.47876i	−0.704849	−	0.0564593i
$687$	2.56570	−	0.0473500i	0.0978874	−	0.00180652i
$688$	−8.84386	+	7.42088i	−0.337169	+	0.282918i
$689$	−0.449437	−	2.54888i	−0.0171222	−	0.0971048i
$690$	−34.3619	+	20.6935i	−1.30814	+	0.787789i
$691$	31.7465	−	37.8340i	1.20769	−	1.43927i	0.341268	−	0.939966i	$-0.389144\pi$
$691$	31.7465	−	37.8340i	1.20769	−	1.43927i	0.866425	−	0.499307i	$-0.166412\pi$
$692$	−7.62335	−	13.2040i	−0.289796	−	0.501942i
$693$	0.327707	+	4.78076i	0.0124486	+	0.181606i
$694$	−8.65918	+	14.9981i	−0.328698	+	0.569321i
$695$	5.16015	+	14.1774i	0.195736	+	0.537779i
$696$	10.9708	+	12.5950i	0.415846	+	0.477411i
$697$	49.6709	−	41.6788i	1.88142	−	1.57870i
$698$	2.71717	+	15.4099i	0.102847	+	0.583272i
$699$	−21.6284	−	17.4785i	−0.818059	−	0.661098i
$700$	16.0906	−	0.507572i	0.608169	−	0.0191844i
$701$			24.1737i			0.913027i	0.889716	+	0.456514i	$0.150902\pi$
$701$			24.1737i			0.913027i	−0.889716	+	0.456514i	$0.849098\pi$
$702$	−3.73909	+	2.44417i	−0.141123	+	0.0922491i
$703$	0.938301	−	0.541728i	0.0353887	−	0.0204317i
$704$	0.388072	−	0.462486i	0.0146260	−	0.0174306i
$705$	−34.0206	+	42.0979i	−1.28129	+	1.58550i
$706$	17.4292	+	20.7713i	0.655956	+	0.781738i
$707$	8.98910	+	7.07200i	0.338070	+	0.265970i
$708$	−1.64622	+	4.79653i	−0.0618686	+	0.180265i
$709$	−23.7867	+	8.65764i	−0.893327	+	0.325144i	−0.747576	−	0.664177i	$-0.768782\pi$
$709$	−23.7867	+	8.65764i	−0.893327	+	0.325144i	−0.145752	+	0.989321i	$0.546560\pi$
$710$	−16.5319			−0.620430
$711$	−18.3611	+	0.677942i	−0.688597	+	0.0254248i
$712$			2.07075i			0.0776046i
$713$	2.01480	−	11.4265i	0.0754547	−	0.427925i
$714$	28.1058	+	8.66580i	1.05183	+	0.324309i
$715$	1.62381	+	0.591017i	0.0607269	+	0.0221028i
$716$	−0.942947	−	1.12376i	−0.0352396	−	0.0419969i
$717$	−10.3778	+	0.191522i	−0.387565	+	0.00715252i
$718$	6.91485	−	2.51680i	0.258060	−	0.0939261i
$719$	41.7854			1.55833			0.779167	−	0.626817i	$-0.215642\pi$
$719$	41.7854			1.55833			0.779167	+	0.626817i	$0.215642\pi$
$720$	−7.40924	+	6.69818i	−0.276126	+	0.249626i
$721$	10.6110	+	11.8649i	0.395175	+	0.441874i
$722$	6.57741	−	7.83865i	0.244786	−	0.291724i
$723$	8.53353	+	43.6681i	0.317366	+	1.62403i
$724$	8.86569	+	10.5657i	0.329491	+	0.392672i
$725$	−20.0690	+	55.1392i	−0.745345	+	2.04782i
$726$	2.86353	−	18.1973i	0.106275	−	0.675366i
$727$	−2.73908	−	7.52556i	−0.101587	−	0.279108i	0.878479	−	0.477781i	$-0.158559\pi$
$727$	−2.73908	−	7.52556i	−0.101587	−	0.279108i	−0.980066	+	0.198674i	$0.936337\pi$
$728$	−0.465394	−	2.22640i	−0.0172486	−	0.0825159i
$729$	16.0009	+	21.7479i	0.592627	+	0.805477i
$730$	−5.43883	+	9.42033i	−0.201300	+	0.348662i
$731$	−56.7609	−	47.6280i	−2.09938	−	1.76159i
$732$	8.99046	+	7.26546i	0.332297	+	0.268539i
$733$	−29.1222	+	5.13504i	−1.07565	+	0.189667i	−0.683293	−	0.730144i	$-0.739453\pi$
$733$	−29.1222	+	5.13504i	−1.07565	+	0.189667i	−0.392361	+	0.919811i	$0.628342\pi$
$734$	2.45478	+	13.9218i	0.0906076	+	0.513861i
$735$	36.4858	+	17.2695i	1.34580	+	0.636996i
$736$	5.32849	+	4.47114i	0.196411	+	0.164808i
$737$	2.64931	−	1.52958i	0.0975887	−	0.0563428i
$738$	−9.30814	+	28.8436i	−0.342637	+	1.06175i
$739$	−21.8298	+	37.8104i	−0.803023	+	1.39088i	0.114595	+	0.993412i	$0.463443\pi$
$739$	−21.8298	+	37.8104i	−0.803023	+	1.39088i	−0.917618	+	0.397464i	$0.869890\pi$
$740$	−0.511086	−	0.428852i	−0.0187879	−	0.0157649i
$741$	−7.04523	−	3.89603i	−0.258813	−	0.143124i
$742$	1.13516	−	7.88408i	0.0416731	−	0.289434i
$743$	3.17084	−	8.71182i	0.116327	−	0.319606i	−0.867842	−	0.496841i	$-0.834493\pi$
$743$	3.17084	−	8.71182i	0.116327	−	0.319606i	0.984168	+	0.177235i	$0.0567154\pi$
$744$	−0.0533104	−	2.88866i	−0.00195445	−	0.105904i
$745$	−10.0339	−	27.5680i	−0.367614	−	1.01001i
$746$	−24.4928	−	14.1409i	−0.896745	−	0.517736i
$747$	11.4088	+	18.1769i	0.417425	+	0.665057i
$748$	3.35570	+	1.93741i	0.122696	+	0.0708388i
$749$	−32.7533	+	20.3132i	−1.19678	+	0.742230i
$750$	−5.91641	−	2.03057i	−0.216037	−	0.0741459i
$751$	−7.32408	−	2.66575i	−0.267259	−	0.0972745i	0.204914	−	0.978780i	$-0.434308\pi$
$751$	−7.32408	−	2.66575i	−0.267259	−	0.0972745i	−0.472174	+	0.881505i	$0.656531\pi$
$752$	8.82003	+	3.21023i	0.321633	+	0.117065i
$753$	17.8036	+	46.2418i	0.648801	+	1.68515i
$754$	8.16445	+	1.43961i	0.297332	+	0.0524276i
$755$	63.9172			2.32618
$756$	−13.2806	+	3.55321i	−0.483011	+	0.129229i
$757$	−2.42384			−0.0880959			−0.0440480	−	0.999029i	$-0.514025\pi$
$757$	−2.42384			−0.0880959			−0.0440480	+	0.999029i	$0.514025\pi$
$758$	20.0096	+	3.52822i	0.726780	+	0.128151i
$759$	−7.18529	−	1.13068i	−0.260810	−	0.0410410i
$760$	−16.9154	−	6.15670i	−0.613586	−	0.223327i
$761$	12.5838	+	4.58015i	0.456164	+	0.166030i	0.559875	−	0.828577i	$-0.310849\pi$
$761$	12.5838	+	4.58015i	0.456164	+	0.166030i	−0.103710	+	0.994608i	$0.533072\pi$
$762$	1.45712	+	7.45644i	0.0527860	+	0.270118i
$763$	4.37383	−	0.137971i	0.158343	−	0.00499487i
$764$	−2.80170	−	1.61756i	−0.101362	−	0.0585213i
$765$	−50.5941	−	39.3658i	−1.82923	−	1.42327i
$766$	10.1423	+	5.85565i	0.366456	+	0.211573i
$767$	0.860875	+	2.36524i	0.0310844	+	0.0854037i
$768$	1.51572	+	0.838200i	0.0546940	+	0.0302459i
$769$	1.92150	−	5.27929i	0.0692912	−	0.190376i	−0.900213	−	0.435449i	$-0.856590\pi$
$769$	1.92150	−	5.27929i	0.0692912	−	0.190376i	0.969505	+	0.245073i	$0.0788119\pi$
$770$	4.17965	+	3.28826i	0.150624	+	0.118501i
$771$	−0.681877	−	36.9480i	−0.0245572	−	1.33065i
$772$	−7.89099	−	6.62132i	−0.284003	−	0.238307i
$773$	−0.321959	+	0.557649i	−0.0115801	+	0.0200572i	−0.871757	−	0.489938i	$-0.837019\pi$
$773$	−0.321959	+	0.557649i	−0.0115801	+	0.0200572i	0.860177	+	0.509995i	$0.170353\pi$
$774$	34.3070	+	4.75161i	1.23314	+	0.170793i
$775$	8.78985	−	5.07482i	0.315741	−	0.182293i
$776$	6.66021	+	5.58858i	0.239088	+	0.200618i
$777$	−0.356804	−	0.846154i	−0.0128003	−	0.0303556i
$778$	2.59213	+	14.7007i	0.0929325	+	0.527047i
$779$	−53.7930	+	9.48516i	−1.92734	+	0.339841i
$780$	−0.770631	+	4.89725i	−0.0275930	+	0.175350i
$781$	−2.29646	−	1.92696i	−0.0821737	−	0.0689519i
$782$	−22.3217	+	38.6623i	−0.798223	+	1.38256i
$783$	5.95758	−	49.7536i	0.212906	−	1.77805i
$784$	0.778638	−	6.95656i	0.0278085	−	0.248449i
$785$	12.7911	+	35.1432i	0.456533	+	1.25431i
$786$	4.69088	+	3.79084i	0.167318	+	0.135215i
$787$	4.66182	−	12.8083i	0.166176	−	0.456565i	−0.828454	−	0.560057i	$-0.810779\pi$
$787$	4.66182	−	12.8083i	0.166176	−	0.456565i	0.994630	+	0.103492i	$0.0330016\pi$
$788$	−7.12353	−	8.48949i	−0.253765	−	0.302426i
$789$	34.3489	−	29.9194i	1.22285	−	1.06516i
$790$	−13.1070	+	15.6203i	−0.466327	+	0.555747i
$791$	−12.4343	+	37.8343i	−0.442113	+	1.34523i
$792$	−1.80997	+	0.0668288i	−0.0643143	+	0.00237466i
$793$	5.73731			0.203738
$794$	−6.79069	+	2.47161i	−0.240993	+	0.0877141i
$795$	−8.40171	+	15.1929i	−0.297978	+	0.538836i
$796$	11.3265	+	13.4984i	0.401457	+	0.478438i
$797$	19.8425	+	7.22209i	0.702858	+	0.255819i	0.668631	−	0.743595i	$-0.266881\pi$
$797$	19.8425	+	7.22209i	0.702858	+	0.255819i	0.0342275	+	0.999414i	$0.489103\pi$
$798$	−16.8546	−	18.1606i	−0.596647	−	0.642878i
$799$	−10.4607	+	59.3257i	−0.370074	+	2.09879i
$800$			6.08472i			0.215127i
$801$	4.60828	−	4.16603i	0.162826	−	0.147199i
$802$	−24.9105			−0.879620
$803$	−1.85355	+	0.674637i	−0.0654103	+	0.0238074i
$804$	5.76448	+	6.61790i	0.203297	+	0.233395i
$805$	−37.8854	+	48.1555i	−1.33528	+	1.69726i
$806$	−0.921762	−	1.09851i	−0.0324677	−	0.0386935i
$807$	−24.6393	−	3.87724i	−0.867345	−	0.136485i
$808$	−2.77876	+	3.31159i	−0.0977563	+	0.116501i
$809$	−31.4264	+	18.1440i	−1.10489	+	0.637910i	−0.937502	−	0.347981i	$-0.886867\pi$
$809$	−31.4264	+	18.1440i	−1.10489	+	0.637910i	−0.167391	+	0.985891i	$0.553534\pi$
$810$	29.8125	+	3.01294i	1.04750	+	0.105864i
$811$			39.0514i			1.37128i	0.727940	+	0.685641i	$0.240478\pi$
$811$			39.0514i			1.37128i	−0.727940	+	0.685641i	$0.759522\pi$
$812$	22.4873	+	12.0541i	0.789148	+	0.423017i
$813$	−19.9708	+	7.68898i	−0.700406	+	0.269664i
$814$	−0.0210084	−	0.119144i	−0.000736344	−	0.00417601i
$815$	0.623730	−	0.523372i	0.0218483	−	0.0183329i
$816$	−3.60867	+	10.5145i	−0.126329	+	0.368080i
$817$	21.3488	+	58.6554i	0.746900	+	2.05209i
$818$	−17.7679	+	30.7748i	−0.621239	+	1.07602i
$819$	−4.01837	+	5.51487i	−0.140413	+	0.192705i
$820$	16.8179	+	29.1295i	0.587308	+	1.01725i
$821$	−8.93151	+	10.6442i	−0.311712	+	0.371484i	−0.899041	−	0.437865i	$-0.855735\pi$
$821$	−8.93151	+	10.6442i	−0.311712	+	0.371484i	0.587329	+	0.809348i	$0.300179\pi$
$822$	−0.629024	−	34.0841i	−0.0219397	−	1.18882i
$823$	−3.56945	−	20.2433i	−0.124423	−	0.705638i	−0.981649	−	0.190698i	$-0.938925\pi$
$823$	−3.56945	−	20.2433i	−0.124423	−	0.705638i	0.857226	−	0.514941i	$-0.172186\pi$
$824$	−4.60875	+	3.86720i	−0.160553	+	0.134720i
$825$	−3.28252	−	5.45068i	−0.114283	−	0.189768i
$826$	0.244233	+	7.74249i	0.00849797	+	0.269396i
$827$	41.7685	−	24.1151i	1.45243	−	0.838563i	0.453814	−	0.891097i	$-0.350063\pi$
$827$	41.7685	−	24.1151i	1.45243	−	0.838563i	0.998619	+	0.0525340i	$0.0167298\pi$
$828$	−0.769961	−	20.8533i	−0.0267580	−	0.724704i
$829$		−	52.7605i		−	1.83245i	−0.400668	−	0.916223i	$-0.631222\pi$
$829$		−	52.7605i		−	1.83245i	0.400668	−	0.916223i	$-0.368778\pi$
$830$	23.4550	+	4.13574i	0.814133	+	0.143554i
$831$	−10.0217	−	11.5054i	−0.347650	−	0.399119i
$832$	0.846628	−	0.149283i	0.0293515	−	0.00517547i
$833$	44.8374	−	2.83157i	1.55353	−	0.0981082i
$834$	−7.75349	−	1.22009i	−0.268482	−	0.0422482i
$835$	−7.69204	+	43.6237i	−0.266194	+	1.50966i
$836$	−1.63211	−	2.82689i	−0.0564476	−	0.0977702i
$837$	−6.32123	+	5.93018i	−0.218494	+	0.204977i
$838$	8.05663	+	4.65150i	0.278312	+	0.160683i
$839$	4.95159	−	1.80223i	0.170948	−	0.0622199i	−0.255128	−	0.966907i	$-0.582118\pi$
$839$	4.95159	−	1.80223i	0.170948	−	0.0622199i	0.426076	+	0.904687i	$0.359896\pi$
$840$	−6.95881	+	13.5777i	−0.240102	+	0.468475i
$841$	−49.0245	+	41.1364i	−1.69050	+	1.41850i
$842$	−5.97538	+	16.4172i	−0.205925	+	0.565775i
$843$	−10.6406	+	9.26839i	−0.366480	+	0.319220i
$844$	0.129723	−	0.735697i	0.00446526	−	0.0253237i
$845$	−20.4106	−	35.3522i	−0.702146	−	1.21615i
$846$	−10.6004	−	26.0867i	−0.364451	−	0.896880i
$847$	−5.75755	−	27.5436i	−0.197832	−	0.946408i
$848$	2.96489	+	0.522791i	0.101815	+	0.0179527i
$849$	−13.4291	+	24.2839i	−0.460884	+	0.833421i
$850$	−38.4591	+	6.78137i	−1.31914	+	0.232599i
$851$	1.37271	−	0.242046i	0.0470560	−	0.00829723i
$852$	4.16205	−	7.52627i	0.142589	−	0.257846i
$853$	−34.3105	−	6.04988i	−1.17477	−	0.207144i	−0.448006	−	0.894030i	$-0.647866\pi$
$853$	−34.3105	−	6.04988i	−1.17477	−	0.207144i	−0.726765	+	0.686887i	$0.758977\pi$
$854$	16.7743	+	5.51291i	0.574004	+	0.188648i
$855$	20.3299	+	50.0301i	0.695269	+	1.71099i
$856$	−7.28355	−	12.6155i	−0.248947	−	0.431188i
$857$	5.93142	−	33.6388i	0.202613	−	1.14908i	−0.698538	−	0.715573i	$-0.746166\pi$
$857$	5.93142	−	33.6388i	0.202613	−	1.14908i	0.901151	−	0.433505i	$-0.142723\pi$
$858$	−0.677874	+	0.590457i	−0.0231422	+	0.0201579i
$859$	0.338821	−	0.930903i	0.0115604	−	0.0317620i	−0.933778	−	0.357852i	$-0.883509\pi$
$859$	0.338821	−	0.930903i	0.0115604	−	0.0317620i	0.945339	+	0.326090i	$0.105731\pi$
$860$	29.4445	−	24.7069i	1.00405	−	0.842497i
$861$	2.31327	+	46.2389i	0.0788362	+	1.57582i
$862$	−11.9930	+	4.36510i	−0.408484	+	0.148676i
$863$	3.43752	+	1.98465i	0.117014	+	0.0675583i	0.557365	−	0.830268i	$-0.311812\pi$
$863$	3.43752	+	1.98465i	0.117014	+	0.0675583i	−0.440350	+	0.897826i	$0.645146\pi$
$864$	−1.18406	−	5.05945i	−0.0402825	−	0.172126i
$865$	25.3810	+	43.9611i	0.862979	+	1.49472i
$866$	0.0421105	−	0.238820i	0.00143097	−	0.00811545i
$867$	−41.3926	−	6.51354i	−1.40577	−	0.221211i
$868$	−1.63943	−	4.09745i	−0.0556458	−	0.139077i
$869$	−3.64142	+	0.642081i	−0.123527	+	0.0217811i
$870$	−36.5257	−	41.9333i	−1.23834	−	1.42167i
$871$	4.28993	+	0.756430i	0.145359	+	0.0256307i
$872$			1.65398i			0.0560107i
$873$	−0.962393	−	26.0651i	−0.0325721	−	0.882170i
$874$	32.5698	−	18.8042i	1.10169	−	0.636061i
$875$	−9.55017	+	0.301256i	−0.322855	+	0.0101843i
$876$	−2.91941	−	4.84773i	−0.0986377	−	0.163790i
$877$	36.0977	−	30.2896i	1.21893	−	1.02281i	0.220054	−	0.975488i	$-0.429377\pi$
$877$	36.0977	−	30.2896i	1.21893	−	1.02281i	0.998880	−	0.0473194i	$-0.0150678\pi$
$878$	−3.53816	−	20.0659i	−0.119407	−	0.677192i
$879$	0.186899	+	10.1273i	0.00630395	+	0.341584i
$880$	−1.29204	+	1.53979i	−0.0435545	+	0.0519063i
$881$	−17.3313	−	30.0187i	−0.583906	−	1.01136i	−0.995011	−	0.0997674i	$-0.968190\pi$
$881$	−17.3313	−	30.0187i	−0.583906	−	1.01136i	0.411104	−	0.911588i	$-0.365143\pi$
$882$	−17.0477	+	12.2627i	−0.574027	+	0.412907i
$883$	2.12819	−	3.68614i	0.0716194	−	0.124048i	−0.827992	−	0.560740i	$-0.810517\pi$
$883$	2.12819	−	3.68614i	0.0716194	−	0.124048i	0.899611	+	0.436692i	$0.143850\pi$
$884$	1.88712	+	5.18482i	0.0634708	+	0.174385i
$885$	5.48087	−	15.9694i	0.184237	−	0.536807i
$886$	−0.175551	+	0.147304i	−0.00589774	+	0.00494879i
$887$	−8.45245	−	47.9362i	−0.283806	−	1.60954i	−0.709521	−	0.704684i	$-0.751089\pi$
$887$	−8.45245	−	47.9362i	−0.283806	−	1.60954i	0.425716	−	0.904857i	$-0.360022\pi$
$888$	0.323909	−	0.124709i	0.0108697	−	0.00418495i
$889$	6.11667	+	9.86257i	0.205146	+	0.330780i
$890$		−	6.89429i		−	0.231097i
$891$	3.79009	+	3.89348i	0.126973	+	0.130436i
$892$	−3.38024	+	1.95158i	−0.113179	+	0.0653437i
$893$	32.6201	−	38.8752i	1.09159	−	1.30091i
$894$	15.0767	+	2.37246i	0.504240	+	0.0793471i
$895$	3.13942	+	3.74142i	0.104939	+	0.125062i
$896$	2.61875	+	0.377051i	0.0874862	+	0.0125964i
$897$	−6.80290	−	7.81006i	−0.227142	−	0.260770i
$898$	13.0796	−	4.76059i	0.436472	−	0.158863i
$899$	16.0859			0.536494
$900$	13.5410	−	12.2415i	0.451368	−	0.408050i
$901$			19.3226i			0.643728i
$902$	−1.05915	+	6.00672i	−0.0352657	+	0.200002i
$903$	51.5773	−	11.7787i	1.71638	−	0.391971i
$904$	−14.1447	−	5.14826i	−0.470446	−	0.171228i
$905$	−29.5172	−	35.1772i	−0.981184	−	1.16933i
$906$	−16.0917	+	29.0988i	−0.534612	+	0.966744i
$907$	39.4021	−	14.3412i	1.30833	−	0.476191i	0.408626	−	0.912702i	$-0.366008\pi$
$907$	39.4021	−	14.3412i	1.30833	−	0.476191i	0.899699	+	0.436511i	$0.143786\pi$
$908$	20.4913			0.680028
$909$	12.9601	−	0.478522i	0.429860	−	0.0158716i
$910$	1.54947	+	7.41252i	0.0513644	+	0.245722i
$911$	7.36184	−	8.77350i	0.243909	−	0.290679i	−0.630176	−	0.776452i	$-0.717017\pi$
$911$	7.36184	−	8.77350i	0.243909	−	0.290679i	0.874085	+	0.485773i	$0.161462\pi$
$912$	7.06149	−	6.15087i	0.233829	−	0.203676i
$913$	2.77609	+	3.30841i	0.0918751	+	0.109493i
$914$	12.9825	−	35.6690i	0.429422	−	1.17983i
$915$	−29.9326	−	24.1894i	−0.989541	−	0.799678i
$916$	0.506722	+	1.39221i	0.0167426	+	0.0459999i
$917$	8.75219	+	2.87643i	0.289023	+	0.0949880i
$918$	30.6591	−	13.1227i	1.01190	−	0.433113i
$919$	25.1944	−	43.6380i	0.831086	−	1.43948i	−0.0660917	−	0.997814i	$-0.521053\pi$
$919$	25.1944	−	43.6380i	0.831086	−	1.43948i	0.897178	−	0.441670i	$-0.145614\pi$
$920$	−17.7405	−	14.8861i	−0.584888	−	0.490779i
$921$	−0.973951	+	6.18932i	−0.0320928	+	0.203945i
$922$	−6.97611	+	1.23008i	−0.229746	+	0.0405104i
$923$	−0.741260	−	4.20390i	−0.0243989	−	0.138373i
$924$	−2.54927	+	1.07497i	−0.0838650	+	0.0353640i
$925$	0.934053	+	0.783764i	0.0307115	+	0.0257700i
$926$	29.5144	−	17.0402i	0.969905	−	0.559975i
$927$	17.8782	+	2.47618i	0.587198	+	0.0813284i
$928$	−4.82175	+	8.35151i	−0.158282	+	0.274152i
$929$	−14.1733	−	11.8928i	−0.465011	−	0.390191i	0.379959	−	0.925003i	$-0.375938\pi$
$929$	−14.1733	−	11.8928i	−0.465011	−	0.390191i	−0.844971	+	0.534812i	$0.820382\pi$
$930$	0.177490	+	9.61744i	0.00582013	+	0.315368i
$931$	−33.9040	−	16.8201i	−1.11116	−	0.551257i
$932$	5.49112	−	15.0867i	0.179867	−	0.494182i
$933$	13.1824	+	7.28992i	0.431573	+	0.238661i
$934$	5.36559	+	14.7418i	0.175567	+	0.482367i
$935$	−11.1724	−	6.45037i	−0.365375	−	0.210950i
$936$	−2.03550	−	1.58376i	−0.0665325	−	0.0517670i
$937$	12.2275	+	7.05956i	0.399455	+	0.230626i	0.686249	−	0.727367i	$-0.259256\pi$
$937$	12.2275	+	7.05956i	0.399455	+	0.230626i	−0.286794	+	0.957992i	$0.592589\pi$
$938$	11.8157	+	6.33373i	0.385796	+	0.206803i
$939$	8.22968	+	42.1132i	0.268565	+	1.37431i
$940$	−29.3652	−	10.6880i	−0.957786	−	0.348606i
$941$	45.2970	+	16.4868i	1.47664	+	0.537453i	0.949895	−	0.312570i	$-0.101190\pi$
$941$	45.2970	+	16.4868i	1.47664	+	0.537453i	0.526745	+	0.850023i	$0.323412\pi$
$942$	−19.2195	−	3.02438i	−0.626205	−	0.0985395i
$943$	−69.2058	−	12.2028i	−2.25365	−	0.397379i
$944$	−2.92784			−0.0952931
$945$	44.2161	−	11.8300i	1.43835	−	0.384829i
$946$	6.97000			0.226614
$947$	47.3773	+	8.35389i	1.53955	+	0.271465i	0.878084	−	0.478506i	$-0.158822\pi$
$947$	47.3773	+	8.35389i	1.53955	+	0.271465i	0.661470	+	0.749971i	$0.269933\pi$
$948$	−3.81148	−	9.89965i	−0.123791	−	0.321526i
$949$	−2.63937	−	0.960652i	−0.0856776	−	0.0311841i
$950$	30.9143	+	11.2519i	1.00299	+	0.365060i
$951$	4.09100	+	1.40407i	0.132660	+	0.0455301i
$952$	0.535383	+	16.9723i	0.0173519	+	0.550075i
$953$	9.56978	+	5.52511i	0.309995	+	0.178976i	0.646924	−	0.762554i	$-0.276055\pi$
$953$	9.56978	+	5.52511i	0.309995	+	0.178976i	−0.336929	+	0.941530i	$0.609388\pi$
$954$	−4.80148	−	7.64990i	−0.155454	−	0.247675i
$955$	9.32789	+	5.38546i	0.301843	+	0.174269i
$956$	−2.04960	−	5.63122i	−0.0662887	−	0.182127i
$957$	−0.186072	−	10.0824i	−0.00601485	−	0.325919i
$958$	−1.02238	+	2.80895i	−0.0330315	+	0.0907532i
$959$	−19.3440	−	48.3470i	−0.624652	−	1.56121i
$960$	−5.04641	−	2.79068i	−0.162872	−	0.0900688i
$961$	21.6159	+	18.1379i	0.697288	+	0.585094i
$962$	0.0861368	−	0.149193i	0.00277716	−	0.00481018i
$963$	−13.4213	+	41.5893i	−0.432496	+	1.34020i
$964$	−22.2471	+	12.8443i	−0.716529	+	0.413688i
$965$	26.2720	+	22.0448i	0.845726	+	0.709649i
$966$	−12.3852	−	29.3712i	−0.398487	−	0.945004i
$967$	−7.10200	−	40.2775i	−0.228385	−	1.29524i	−0.856107	−	0.516798i	$-0.827124\pi$
$967$	−7.10200	−	40.2775i	−0.228385	−	1.29524i	0.627722	−	0.778437i	$-0.283987\pi$
$968$	10.4739	−	1.84684i	0.336645	−	0.0593596i
$969$	46.7472	+	37.7778i	1.50174	+	1.21360i
$970$	−22.1743	−	18.6065i	−0.711974	−	0.597417i
$971$	−17.7233	+	30.6977i	−0.568768	+	0.985136i	0.427920	+	0.903817i	$0.359247\pi$
$971$	−17.7233	+	30.6977i	−0.568768	+	0.985136i	−0.996688	+	0.0813191i	$0.974087\pi$
$972$	−8.87724	+	12.8138i	−0.284737	+	0.411004i
$973$	−11.7357	+	2.45317i	−0.376231	+	0.0786451i
$974$	6.37069	+	17.5033i	0.204130	+	0.560843i
$975$	1.40840	−	8.95015i	0.0451047	−	0.286634i
$976$	−2.28254	+	6.27124i	−0.0730624	+	0.200737i
$977$	1.41525	+	1.68663i	0.0452779	+	0.0539601i	0.788208	−	0.615409i	$-0.211009\pi$
$977$	1.41525	+	1.68663i	0.0452779	+	0.0539601i	−0.742930	+	0.669369i	$0.766565\pi$
$978$	0.0812395	+	0.415722i	0.00259775	+	0.0132933i
$979$	0.803600	−	0.957693i	0.0256832	−	0.0306080i
$980$	−2.59238	+	23.1610i	−0.0828104	+	0.739850i
$981$	3.68078	−	3.32754i	0.117518	−	0.106240i
$982$	21.2951			0.679555
$983$	32.4833	−	11.8230i	1.03606	−	0.377094i	0.232673	−	0.972555i	$-0.425253\pi$
$983$	32.4833	−	11.8230i	1.03606	−	0.377094i	0.803384	+	0.595461i	$0.203030\pi$
$984$	−17.4955	+	0.322881i	−0.557737	+	0.0102931i
$985$	23.7169	+	28.2647i	0.755683	+	0.900587i
$986$	−58.1604	−	21.1686i	−1.85220	−	0.674147i
$987$	−29.2597	−	31.5268i	−0.931346	−	1.00351i
$988$	0.807133	−	4.57748i	0.0256783	−	0.145629i
$989$			80.3042i			2.55353i
$990$	6.02605	−	0.222498i	0.191520	−	0.00707144i
$991$	6.68932			0.212493			0.106247	−	0.994340i	$-0.466117\pi$
$991$	6.68932			0.212493			0.106247	+	0.994340i	$0.466117\pi$
$992$	1.56746	−	0.570508i	0.0497669	−	0.0181137i
$993$	−12.9769	+	37.8103i	−0.411808	+	1.19987i
$994$	1.87223	−	13.0033i	0.0593836	−	0.412439i
$995$	−37.7101	−	44.9412i	−1.19549	−	1.42473i
$996$	−7.78783	+	9.63685i	−0.246767	+	0.305355i
$997$	28.9935	−	34.5531i	0.918234	−	1.09431i	−0.0770232	−	0.997029i	$-0.524542\pi$
$997$	28.9935	−	34.5531i	0.918234	−	1.09431i	0.995257	−	0.0972793i	$-0.0310140\pi$
$998$	−5.44320	+	3.14263i	−0.172301	+	0.0994783i
$999$	−0.929183	−	0.469938i	−0.0293981	−	0.0148682i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.ba.a.47.21	✓	144
7.3	odd	6		378.2.bf.a.101.12	yes	144
27.23	odd	18		378.2.bf.a.131.12	yes	144
189.185	even	18	inner	378.2.ba.a.185.21	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.47.21	✓	144	1.1	even	1	trivial
378.2.ba.a.185.21	yes	144	189.185	even	18	inner
378.2.bf.a.101.12	yes	144	7.3	odd	6
378.2.bf.a.131.12	yes	144	27.23	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	378.ba (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.984808 + 0.173648i) q^{2} +(1.08867 - 1.34715i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-3.12859 - 1.13871i) q^{5} +(1.30606 - 1.13763i) q^{6} +(1.24998 - 2.33186i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-0.629601 - 2.93319i) q^{9} +O(q^{10})\)	\(q+(0.984808 + 0.173648i) q^{2} +(1.08867 - 1.34715i) q^{3} +(0.939693 + 0.342020i) q^{4} +(-3.12859 - 1.13871i) q^{5} +(1.30606 - 1.13763i) q^{6} +(1.24998 - 2.33186i) q^{7} +(0.866025 + 0.500000i) q^{8} +(-0.629601 - 2.93319i) q^{9} +(-2.88332 - 1.66469i) q^{10} +(-0.206489 - 0.567324i) q^{11} +(1.48376 - 0.893556i) q^{12} +(0.294031 - 0.807843i) q^{13} +(1.63591 - 2.07938i) q^{14} +(-4.94000 + 2.97498i) q^{15} +(0.766044 + 0.642788i) q^{16} +(-3.20905 + 5.55825i) q^{17} +(-0.110693 - 2.99796i) q^{18} +(4.68236 - 2.70336i) q^{19} +(-2.55045 - 2.14008i) q^{20} +(-1.78054 - 4.22252i) q^{21} +(-0.104837 - 0.594561i) q^{22} +(6.85018 - 1.20787i) q^{23} +(1.61639 - 0.622328i) q^{24} +(4.66116 + 3.91118i) q^{25} +(0.429844 - 0.744512i) q^{26} +(-4.63686 - 2.34511i) q^{27} +(1.97214 - 1.76371i) q^{28} +(3.29827 + 9.06192i) q^{29} +(-5.38155 + 2.07196i) q^{30} +(0.570508 - 1.56746i) q^{31} +(0.642788 + 0.766044i) q^{32} +(-0.989065 - 0.339457i) q^{33} +(-4.12548 + 4.91656i) q^{34} +(-6.56597 + 5.87205i) q^{35} +(0.411579 - 2.97163i) q^{36} +0.200391 q^{37} +(5.08066 - 1.84921i) q^{38} +(-0.768180 - 1.27558i) q^{39} +(-2.14008 - 2.55045i) q^{40} +(-9.49350 - 3.45535i) q^{41} +(-1.02026 - 4.46756i) q^{42} +(-2.00474 + 11.3694i) q^{43} -0.603733i q^{44} +(-1.37030 + 9.89367i) q^{45} +6.95585 q^{46} +(8.82003 - 3.21023i) q^{47} +(1.69990 - 0.332190i) q^{48} +(-3.87512 - 5.82953i) q^{49} +(3.91118 + 4.66116i) q^{50} +(3.99417 + 10.3742i) q^{51} +(0.552597 - 0.658560i) q^{52} +(2.60728 - 1.50532i) q^{53} +(-4.15919 - 3.11466i) q^{54} +2.01005i q^{55} +(2.24844 - 1.39446i) q^{56} +(1.45572 - 9.25088i) q^{57} +(1.67457 + 9.49699i) q^{58} +(-2.24286 + 1.88198i) q^{59} +(-5.65959 + 1.10599i) q^{60} +(2.28254 + 6.27124i) q^{61} +(0.834027 - 1.44458i) q^{62} +(-7.62677 - 2.19828i) q^{63} +(0.500000 + 0.866025i) q^{64} +(-1.83980 + 2.19259i) q^{65} +(-0.915093 - 0.506049i) q^{66} +(0.879889 + 4.99010i) q^{67} +(-4.91656 + 4.12548i) q^{68} +(5.83040 - 10.5432i) q^{69} +(-7.48589 + 4.64267i) q^{70} +(4.30021 - 2.48273i) q^{71} +(0.921345 - 2.85502i) q^{72} -3.26718i q^{73} +(0.197346 + 0.0347975i) q^{74} +(10.3434 - 2.02128i) q^{75} +(5.32458 - 0.938867i) q^{76} +(-1.58102 - 0.227638i) q^{77} +(-0.535008 - 1.38959i) q^{78} +(1.06352 - 6.03151i) q^{79} +(-1.66469 - 2.88332i) q^{80} +(-8.20721 + 3.69348i) q^{81} +(-8.74926 - 5.05139i) q^{82} +(-6.72213 + 2.44665i) q^{83} +(-0.228974 - 4.57685i) q^{84} +(16.3690 - 13.7353i) q^{85} +(-3.94857 + 10.8486i) q^{86} +(15.7984 + 5.42218i) q^{87} +(0.104837 - 0.594561i) q^{88} +(1.03537 + 1.79332i) q^{89} +(-3.06750 + 9.50541i) q^{90} +(-1.51624 - 1.69542i) q^{91} +(6.85018 + 1.20787i) q^{92} +(-1.49050 - 2.47500i) q^{93} +(9.24348 - 1.62988i) q^{94} +(-17.7275 + 3.12584i) q^{95} +(1.73176 - 0.0319596i) q^{96} +(8.56220 + 1.50975i) q^{97} +(-2.80396 - 6.41388i) q^{98} +(-1.53406 + 0.962858i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 18 q^{6} + 24 q^{9}+O(q^{10}) \) 144 * q - 18 * q^6 + 24 * q^9	\( 144 q - 18 q^{6} + 24 q^{9} - 24 q^{11} + 6 q^{14} + 12 q^{15} - 30 q^{21} - 42 q^{23} - 6 q^{29} - 18 q^{30} + 6 q^{36} + 48 q^{39} - 48 q^{42} + 18 q^{45} - 54 q^{47} - 36 q^{49} + 12 q^{50} - 36 q^{51} - 90 q^{53} + 6 q^{56} - 6 q^{57} + 18 q^{60} + 54 q^{61} - 24 q^{63} + 72 q^{64} + 78 q^{65} - 72 q^{66} - 54 q^{68} + 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} - 36 q^{74} - 6 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 36 q^{91} - 42 q^{92} + 96 q^{93} - 66 q^{95} - 108 q^{99}+O(q^{100}) \) 144 * q - 18 * q^6 + 24 * q^9 - 24 * q^11 + 6 * q^14 + 12 * q^15 - 30 * q^21 - 42 * q^23 - 6 * q^29 - 18 * q^30 + 6 * q^36 + 48 * q^39 - 48 * q^42 + 18 * q^45 - 54 * q^47 - 36 * q^49 + 12 * q^50 - 36 * q^51 - 90 * q^53 + 6 * q^56 - 6 * q^57 + 18 * q^60 + 54 * q^61 - 24 * q^63 + 72 * q^64 + 78 * q^65 - 72 * q^66 - 54 * q^68 + 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 - 36 * q^74 - 6 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 36 * q^91 - 42 * q^92 + 96 * q^93 - 66 * q^95 - 108 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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