LMFDB - Embedded newform 378.2.bf.a.5.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [378,2,Mod(5,378)]

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([5, 15]))

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

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

chi := DirichletCharacter("378.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 378 = 2 \cdot 3^{3} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	378.bf (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			5.6
Character	$\chi$	$=$	378.5
Dual form			378.2.bf.a.227.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.984808 + 0.173648i) q^{2} +(-0.542374 - 1.64494i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.381353 - 2.16276i) q^{5} +(0.819775 + 1.52577i) q^{6} +(-1.53538 - 2.15467i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.41166 + 1.78435i) q^{9} +O(q^{10})$	\(q+(-0.984808 + 0.173648i) q^{2} +(-0.542374 - 1.64494i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.381353 - 2.16276i) q^{5} +(0.819775 + 1.52577i) q^{6} +(-1.53538 - 2.15467i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.41166 + 1.78435i) q^{9} +2.19613i q^{10} +(-2.58061 + 0.455032i) q^{11} +(-1.07227 - 1.36024i) q^{12} +(3.40950 - 4.06328i) q^{13} +(1.88621 + 1.85532i) q^{14} +(-3.76445 + 0.545722i) q^{15} +(0.766044 - 0.642788i) q^{16} -0.277486 q^{17} +(2.06517 - 2.17602i) q^{18} +6.97953i q^{19} +(-0.381353 - 2.16276i) q^{20} +(-2.71156 + 3.69425i) q^{21} +(2.46239 - 0.896238i) q^{22} +(-4.12411 + 4.91492i) q^{23} +(1.29218 + 1.15337i) q^{24} +(0.166352 + 0.0605473i) q^{25} +(-2.65212 + 4.59360i) q^{26} +(4.24317 + 2.99926i) q^{27} +(-2.17973 - 1.49960i) q^{28} +(-4.94422 - 5.89229i) q^{29} +(3.61250 - 1.19112i) q^{30} +(-1.70285 - 4.67855i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(2.14816 + 3.99816i) q^{33} +(0.273270 - 0.0481850i) q^{34} +(-5.24556 + 2.49897i) q^{35} +(-1.65594 + 2.50157i) q^{36} +(-4.98473 - 8.63380i) q^{37} +(-1.21198 - 6.87350i) q^{38} +(-8.53307 - 3.40460i) q^{39} +(0.751119 + 2.06368i) q^{40} +(-6.16220 - 5.17070i) q^{41} +(2.02886 - 4.10898i) q^{42} +(8.12383 + 2.95683i) q^{43} +(-2.26935 + 1.31021i) q^{44} +(2.93942 + 5.89632i) q^{45} +(3.20799 - 5.55640i) q^{46} +(-1.91480 - 0.696931i) q^{47} +(-1.47283 - 0.911467i) q^{48} +(-2.28521 + 6.61648i) q^{49} +(-0.174339 - 0.0307407i) q^{50} +(0.150501 + 0.456448i) q^{51} +(1.81415 - 4.98435i) q^{52} +(3.60457 - 2.08110i) q^{53} +(-4.69952 - 2.21687i) q^{54} +5.75478i q^{55} +(2.40701 + 1.09831i) q^{56} +(11.4809 - 3.78552i) q^{57} +(5.89229 + 4.94422i) q^{58} +(0.616912 + 0.517651i) q^{59} +(-3.35078 + 1.80033i) q^{60} +(-1.85181 + 5.08779i) q^{61} +(2.48941 + 4.31178i) q^{62} +(7.54750 + 2.45668i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-7.48768 - 8.92347i) q^{65} +(-2.80980 - 3.56439i) q^{66} +(0.963742 - 5.46565i) q^{67} +(-0.260752 + 0.0949058i) q^{68} +(10.3216 + 4.11819i) q^{69} +(4.73193 - 3.37189i) q^{70} +(0.752613 + 0.434521i) q^{71} +(1.19639 - 2.75112i) q^{72} +(2.46331 + 1.42219i) q^{73} +(6.40824 + 7.63705i) q^{74} +(0.00937158 - 0.306479i) q^{75} +(2.38714 + 6.55862i) q^{76} +(4.94267 + 4.86172i) q^{77} +(8.99464 + 1.87113i) q^{78} +(-2.36751 - 13.4268i) q^{79} +(-1.09806 - 1.90190i) q^{80} +(2.63222 - 8.60648i) q^{81} +(6.96646 + 4.02209i) q^{82} +(3.00646 - 2.52272i) q^{83} +(-1.28452 + 4.39886i) q^{84} +(-0.105820 + 0.600137i) q^{85} +(-8.51386 - 1.50122i) q^{86} +(-7.01085 + 11.3288i) q^{87} +(2.00736 - 1.68438i) q^{88} +12.3834 q^{89} +(-3.91865 - 5.29631i) q^{90} +(-13.9899 - 1.10766i) q^{91} +(-2.19439 + 6.02904i) q^{92} +(-6.77236 + 5.33862i) q^{93} +(2.00673 + 0.353841i) q^{94} +(15.0951 + 2.66167i) q^{95} +(1.60873 + 0.641865i) q^{96} +(5.29222 - 14.5403i) q^{97} +(1.10155 - 6.91278i) q^{98} +(5.41163 - 5.70209i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) $ 144 * q + 18 * q^6 - 12 * q^9	$ 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) $ 144 * q + 18 * q^6 - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 6 * q^21 - 6 * q^23 - 6 * q^29 - 18 * q^30 - 54 * q^35 + 6 * q^36 - 6 * q^39 + 24 * q^42 - 54 * q^47 + 18 * q^49 + 12 * q^50 + 18 * q^51 + 90 * q^53 - 54 * q^54 - 12 * q^56 - 6 * q^57 - 90 * q^59 - 36 * q^60 - 24 * q^63 + 72 * q^64 - 84 * q^65 - 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 + 18 * q^74 - 90 * q^75 - 78 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 90 * q^87 - 18 * q^91 - 42 * q^92 - 12 * q^93 + 78 * q^95 - 36 * q^98 - 108 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

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
$3$	−0.542374	−	1.64494i	−0.313140	−	0.949707i
$3$	−0.542374	−	1.64494i	−0.313140	−	0.949707i
$4$	0.939693	−	0.342020i	0.469846	−	0.171010i
$5$	0.381353	−	2.16276i	0.170546	−	0.967217i	−0.772613	−	0.634877i	$-0.781051\pi$
$5$	0.381353	−	2.16276i	0.170546	−	0.967217i	0.943160	−	0.332340i	$-0.107838\pi$
$6$	0.819775	+	1.52577i	0.334672	+	0.622892i
$7$	−1.53538	−	2.15467i	−0.580320	−	0.814389i
$7$	−1.53538	−	2.15467i	−0.580320	−	0.814389i
$8$	−0.866025	+	0.500000i	−0.306186	+	0.176777i
$9$	−2.41166	+	1.78435i	−0.803887	+	0.594782i
$10$			2.19613i			0.694476i
$11$	−2.58061	+	0.455032i	−0.778084	+	0.137197i	−0.548566	−	0.836107i	$-0.684826\pi$
$11$	−2.58061	+	0.455032i	−0.778084	+	0.137197i	−0.229518	+	0.973304i	$0.573715\pi$
$12$	−1.07227	−	1.36024i	−0.309537	−	0.392666i
$13$	3.40950	−	4.06328i	0.945624	−	1.12695i	−0.0461482	−	0.998935i	$-0.514695\pi$
$13$	3.40950	−	4.06328i	0.945624	−	1.12695i	0.991772	−	0.128016i	$-0.0408609\pi$
$14$	1.88621	+	1.85532i	0.504111	+	0.495855i
$15$	−3.76445	+	0.545722i	−0.971977	+	0.140905i
$16$	0.766044	−	0.642788i	0.191511	−	0.160697i
$17$	−0.277486			−0.0673003			−0.0336501	−	0.999434i	$-0.510713\pi$
$17$	−0.277486			−0.0673003			−0.0336501	+	0.999434i	$0.510713\pi$
$18$	2.06517	−	2.17602i	0.486766	−	0.512892i
$19$			6.97953i			1.60121i	0.599189	+	0.800607i	$0.295490\pi$
$19$			6.97953i			1.60121i	−0.599189	+	0.800607i	$0.704510\pi$
$20$	−0.381353	−	2.16276i	−0.0852732	−	0.483608i
$21$	−2.71156	+	3.69425i	−0.591710	+	0.806151i
$22$	2.46239	−	0.896238i	0.524984	−	0.191078i
$23$	−4.12411	+	4.91492i	−0.859936	+	1.02483i	0.139465	+	0.990227i	$0.455462\pi$
$23$	−4.12411	+	4.91492i	−0.859936	+	1.02483i	−0.999401	+	0.0346048i	$0.988983\pi$
$24$	1.29218	+	1.15337i	0.263765	+	0.235431i
$25$	0.166352	+	0.0605473i	0.0332705	+	0.0121095i
$26$	−2.65212	+	4.59360i	−0.520123	+	0.900879i
$27$	4.24317	+	2.99926i	0.816598	+	0.577207i
$28$	−2.17973	−	1.49960i	−0.411930	−	0.283397i
$29$	−4.94422	−	5.89229i	−0.918118	−	1.09417i	−0.995270	−	0.0971513i	$-0.969027\pi$
$29$	−4.94422	−	5.89229i	−0.918118	−	1.09417i	0.0771514	−	0.997019i	$-0.475418\pi$
$30$	3.61250	−	1.19112i	0.659549	−	0.217468i
$31$	−1.70285	−	4.67855i	−0.305842	−	0.840293i	−0.993456	−	0.114217i	$-0.963564\pi$
$31$	−1.70285	−	4.67855i	−0.305842	−	0.840293i	0.687614	−	0.726076i	$-0.258658\pi$
$32$	−0.642788	+	0.766044i	−0.113630	+	0.135419i
$33$	2.14816	+	3.99816i	0.373946	+	0.695990i
$34$	0.273270	−	0.0481850i	0.0468655	−	0.00826365i
$35$	−5.24556	+	2.49897i	−0.886662	+	0.422404i
$36$	−1.65594	+	2.50157i	−0.275990	+	0.416929i
$37$	−4.98473	−	8.63380i	−0.819484	−	1.41939i	−0.906063	−	0.423144i	$-0.860927\pi$
$37$	−4.98473	−	8.63380i	−0.819484	−	1.41939i	0.0865782	−	0.996245i	$-0.472407\pi$
$38$	−1.21198	−	6.87350i	−0.196610	−	1.11503i
$39$	−8.53307	−	3.40460i	−1.36639	−	0.545173i
$40$	0.751119	+	2.06368i	0.118762	+	0.326297i
$41$	−6.16220	−	5.17070i	−0.962374	−	0.807528i	0.0189638	−	0.999820i	$-0.493963\pi$
$41$	−6.16220	−	5.17070i	−0.962374	−	0.807528i	−0.981338	+	0.192293i	$0.938408\pi$
$42$	2.02886	−	4.10898i	0.313060	−	0.634029i
$43$	8.12383	+	2.95683i	1.23887	+	0.450913i	0.876627	−	0.481170i	$-0.159788\pi$
$43$	8.12383	+	2.95683i	1.23887	+	0.450913i	0.362245	+	0.932083i	$0.382010\pi$
$44$	−2.26935	+	1.31021i	−0.342118	+	0.197522i
$45$	2.93942	+	5.89632i	0.438183	+	0.878971i
$46$	3.20799	−	5.55640i	0.472992	−	0.819246i
$47$	−1.91480	−	0.696931i	−0.279303	−	0.101658i	0.198571	−	0.980087i	$-0.436370\pi$
$47$	−1.91480	−	0.696931i	−0.279303	−	0.101658i	−0.477873	+	0.878429i	$0.658592\pi$
$48$	−1.47283	−	0.911467i	−0.212585	−	0.131559i
$49$	−2.28521	+	6.61648i	−0.326459	+	0.945212i
$50$	−0.174339	−	0.0307407i	−0.0246553	−	0.00434739i
$51$	0.150501	+	0.456448i	0.0210744	+	0.0639155i
$52$	1.81415	−	4.98435i	0.251578	−	0.691205i
$53$	3.60457	−	2.08110i	0.495126	−	0.285861i	−0.231572	−	0.972818i	$-0.574387\pi$
$53$	3.60457	−	2.08110i	0.495126	−	0.285861i	0.726699	+	0.686956i	$0.241054\pi$
$54$	−4.69952	−	2.21687i	−0.639523	−	0.301678i
$55$			5.75478i			0.775975i
$56$	2.40701	+	1.09831i	0.321651	+	0.146768i
$57$	11.4809	−	3.78552i	1.52069	−	0.501404i
$58$	5.89229	+	4.94422i	0.773696	+	0.649208i
$59$	0.616912	+	0.517651i	0.0803152	+	0.0673924i	0.682061	−	0.731295i	$-0.261084\pi$
$59$	0.616912	+	0.517651i	0.0803152	+	0.0673924i	−0.601746	+	0.798687i	$0.705528\pi$
$60$	−3.35078	+	1.80033i	−0.432584	+	0.232422i
$61$	−1.85181	+	5.08779i	−0.237099	+	0.651425i	0.762889	+	0.646530i	$0.223780\pi$
$61$	−1.85181	+	5.08779i	−0.237099	+	0.651425i	−0.999988	+	0.00489524i	$0.998442\pi$
$62$	2.48941	+	4.31178i	0.316155	+	0.547596i
$63$	7.54750	+	2.45668i	0.950895	+	0.309513i
$64$	0.500000	−	0.866025i	0.0625000	−	0.108253i
$65$	−7.48768	−	8.92347i	−0.928733	−	1.10682i
$66$	−2.80980	−	3.56439i	−0.345862	−	0.438747i
$67$	0.963742	−	5.46565i	0.117740	−	0.667736i	−0.867617	−	0.497233i	$-0.834350\pi$
$67$	0.963742	−	5.46565i	0.117740	−	0.667736i	0.985357	−	0.170503i	$-0.0545393\pi$
$68$	−0.260752	+	0.0949058i	−0.0316208	+	0.0115090i
$69$	10.3216	+	4.11819i	1.24257	+	0.495772i
$70$	4.73193	−	3.37189i	0.565574	−	0.403018i
$71$	0.752613	+	0.434521i	0.0893187	+	0.0515682i	0.543994	−	0.839089i	$-0.316911\pi$
$71$	0.752613	+	0.434521i	0.0893187	+	0.0515682i	−0.454675	+	0.890657i	$0.650245\pi$
$72$	1.19639	−	2.75112i	0.140996	−	0.324223i
$73$	2.46331	+	1.42219i	0.288309	+	0.166455i	0.637179	−	0.770716i	$-0.280101\pi$
$73$	2.46331	+	1.42219i	0.288309	+	0.166455i	−0.348870	+	0.937171i	$0.613435\pi$
$74$	6.40824	+	7.63705i	0.744943	+	0.887789i
$75$	0.00937158	−	0.306479i	0.00108214	−	0.0353892i
$76$	2.38714	+	6.55862i	0.273824	+	0.752325i
$77$	4.94267	+	4.86172i	0.563269	+	0.554045i
$78$	8.99464	+	1.87113i	1.01844	+	0.211863i
$79$	−2.36751	−	13.4268i	−0.266365	−	1.51063i	−0.765118	−	0.643890i	$-0.777320\pi$
$79$	−2.36751	−	13.4268i	−0.266365	−	1.51063i	0.498753	−	0.866744i	$-0.333792\pi$
$80$	−1.09806	−	1.90190i	−0.122767	−	0.212639i
$81$	2.63222	−	8.60648i	0.292469	−	0.956275i
$82$	6.96646	+	4.02209i	0.769317	+	0.444166i
$83$	3.00646	−	2.52272i	0.330002	−	0.276905i	−0.462698	−	0.886516i	$-0.653119\pi$
$83$	3.00646	−	2.52272i	0.330002	−	0.276905i	0.792701	+	0.609611i	$0.208674\pi$
$84$	−1.28452	+	4.39886i	−0.140153	+	0.479955i
$85$	−0.105820	+	0.600137i	−0.0114778	+	0.0650939i
$86$	−8.51386	−	1.50122i	−0.918073	−	0.161881i
$87$	−7.01085	+	11.3288i	−0.751642	+	1.21457i
$88$	2.00736	−	1.68438i	0.213985	−	0.179555i
$89$	12.3834			1.31264			0.656321	−	0.754482i	$-0.272112\pi$
$89$	12.3834			1.31264			0.656321	+	0.754482i	$0.272112\pi$
$90$	−3.91865	−	5.29631i	−0.413062	−	0.558280i
$91$	−13.9899	−	1.10766i	−1.46654	−	0.116114i
$92$	−2.19439	+	6.02904i	−0.228781	+	0.628571i
$93$	−6.77236	+	5.33862i	−0.702261	+	0.553589i
$94$	2.00673	+	0.353841i	0.206979	+	0.0364959i
$95$	15.0951	+	2.66167i	1.54872	+	0.273081i
$96$	1.60873	+	0.641865i	0.164190	+	0.0655101i
$97$	5.29222	−	14.5403i	0.537344	−	1.47634i	−0.312815	−	0.949814i	$-0.601272\pi$
$97$	5.29222	−	14.5403i	0.537344	−	1.47634i	0.850159	−	0.526526i	$-0.176506\pi$
$98$	1.10155	−	6.91278i	0.111274	−	0.698297i
$99$	5.41163	−	5.70209i	0.543889	−	0.573082i
$100$	0.177029			0.0177029
$101$	9.10545	−	7.64038i	0.906026	−	0.760246i	−0.0653325	−	0.997864i	$-0.520811\pi$
$101$	9.10545	−	7.64038i	0.906026	−	0.760246i	0.971359	+	0.237617i	$0.0763664\pi$
$102$	−0.227476	−	0.423380i	−0.0225235	−	0.0419208i
$103$	−7.72968	−	1.36295i	−0.761628	−	0.134296i	−0.220674	−	0.975348i	$-0.570826\pi$
$103$	−7.72968	−	1.36295i	−0.761628	−	0.134296i	−0.540954	+	0.841052i	$0.681937\pi$
$104$	−0.921070	+	5.22365i	−0.0903184	+	0.512221i
$105$	6.95572	+	7.27326i	0.678809	+	0.709798i
$106$	−3.18843	+	2.67541i	−0.309688	+	0.259859i
$107$	6.38775	+	3.68797i	0.617527	+	0.356530i	0.775906	−	0.630849i	$-0.217293\pi$
$107$	6.38775	+	3.68797i	0.617527	+	0.356530i	−0.158378	+	0.987378i	$0.550627\pi$
$108$	5.01308	+	1.36713i	0.482384	+	0.131552i
$109$	5.99009	+	10.3751i	0.573746	+	0.993758i	0.996177	+	0.0873625i	$0.0278439\pi$
$109$	5.99009	+	10.3751i	0.573746	+	0.993758i	−0.422430	+	0.906396i	$0.638823\pi$
$110$	−0.999307	−	5.66735i	−0.0952802	−	0.540361i
$111$	−11.4985	+	12.8823i	−1.09139	+	1.22274i
$112$	−2.56117	−	0.663649i	−0.242007	−	0.0627090i
$113$	2.29494	+	6.30530i	0.215890	+	0.593153i	0.999609	−	0.0279626i	$-0.00890192\pi$
$113$	2.29494	+	6.30530i	0.215890	+	0.593153i	−0.783719	+	0.621116i	$0.786680\pi$
$114$	−10.6492	+	5.72165i	−0.997384	+	0.535881i
$115$	9.05706	+	10.7938i	0.844575	+	1.00653i
$116$	−6.66133	−	3.84592i	−0.618489	−	0.357085i
$117$	−0.972254	+	15.8830i	−0.0898849	+	1.46838i
$118$	−0.697429	−	0.402661i	−0.0642036	−	0.0370679i
$119$	0.426047	+	0.597891i	0.0390557	+	0.0548086i
$120$	2.98725	−	2.35484i	0.272697	−	0.214966i
$121$	−3.88411	+	1.41370i	−0.353101	+	0.128518i
$122$	0.940186	−	5.33206i	0.0851205	−	0.482742i
$123$	−5.16328	+	12.9409i	−0.465557	+	1.16684i
$124$	−3.20032	−	3.81399i	−0.287397	−	0.342507i
$125$	5.68470	−	9.84620i	0.508455	−	0.880671i
$126$	−7.85943	−	1.10875i	−0.700174	−	0.0987756i
$127$	−5.94015	−	10.2886i	−0.527103	−	0.912969i	−0.999501	−	0.0315836i	$-0.989945\pi$
$127$	−5.94015	−	10.2886i	−0.527103	−	0.912969i	0.472398	−	0.881385i	$-0.343388\pi$
$128$	−0.342020	+	0.939693i	−0.0302306	+	0.0830579i
$129$	0.457662	−	14.9669i	0.0402949	−	1.31776i
$130$	8.92347	+	7.48768i	0.782640	+	0.656713i
$131$	−5.74627	−	4.82169i	−0.502054	−	0.421273i	0.356269	−	0.934383i	$-0.384049\pi$
$131$	−5.74627	−	4.82169i	−0.502054	−	0.421273i	−0.858323	+	0.513110i	$0.828493\pi$
$132$	3.38606	+	3.02233i	0.294719	+	0.263060i
$133$	15.0386	−	10.7162i	1.30401	−	0.929216i
$134$			5.54997i			0.479444i
$135$	8.10483	−	8.03318i	0.697552	−	0.691386i
$136$	0.240310	−	0.138743i	0.0206064	−	0.0118971i
$137$	−0.200698	+	0.551412i	−0.0171467	+	0.0471103i	−0.947971	−	0.318358i	$-0.896869\pi$
$137$	−0.200698	+	0.551412i	−0.0171467	+	0.0471103i	0.930824	+	0.365468i	$0.119091\pi$
$138$	−10.8799	−	2.26330i	−0.926156	−	0.192665i
$139$	2.73523	+	0.482295i	0.231999	+	0.0409077i	0.288439	−	0.957498i	$-0.406864\pi$
$139$	2.73523	+	0.482295i	0.231999	+	0.0409077i	−0.0564398	+	0.998406i	$0.517975\pi$
$140$	−4.07452	+	4.14236i	−0.344360	+	0.350093i
$141$	−0.107872	+	3.52774i	−0.00908444	+	0.297089i
$142$	−0.816633	−	0.297230i	−0.0685303	−	0.0249430i
$143$	−6.94967	+	12.0372i	−0.581160	+	1.00660i
$144$	−0.700484	+	2.91707i	−0.0583737	+	0.243090i
$145$	−14.6291	+	8.44612i	−1.21488	+	0.701412i
$146$	−2.67285	−	0.972837i	−0.221206	−	0.0805126i
$147$	12.1232	+	0.170429i	0.999901	+	0.0140568i
$148$	−7.63705	−	6.40824i	−0.627761	−	0.526754i
$149$	−7.29405	−	20.0402i	−0.597552	−	1.64176i	−0.756136	−	0.654414i	$-0.772915\pi$
$149$	−7.29405	−	20.0402i	−0.597552	−	1.64176i	0.158585	−	0.987345i	$-0.449307\pi$
$150$	0.0439904	+	0.303450i	0.00359180	+	0.0247766i
$151$	−3.41012	−	19.3398i	−0.277512	−	1.57385i	−0.730868	−	0.682519i	$-0.760885\pi$
$151$	−3.41012	−	19.3398i	−0.277512	−	1.57385i	0.453356	−	0.891329i	$-0.350227\pi$
$152$	−3.48977	−	6.04445i	−0.283057	−	0.490270i
$153$	0.669203	−	0.495131i	0.0541018	−	0.0400290i
$154$	−5.71181	−	3.92958i	−0.460271	−	0.316654i
$155$	−10.7680	+	1.89869i	−0.864906	+	0.152506i
$156$	−9.18291	−	0.280797i	−0.735221	−	0.0224817i
$157$	−7.75424	+	9.24115i	−0.618856	+	0.737524i	−0.980873	−	0.194648i	$-0.937644\pi$
$157$	−7.75424	+	9.24115i	−0.618856	+	0.737524i	0.362017	+	0.932171i	$0.382088\pi$
$158$	4.66308	+	12.8117i	0.370975	+	1.01924i
$159$	−5.37832	−	4.80058i	−0.426528	−	0.380711i
$160$	1.41164	+	1.68233i	0.111600	+	0.133000i
$161$	16.9221	+	1.33982i	1.33365	+	0.105592i
$162$	−1.09773	+	8.93280i	−0.0862460	+	0.701827i
$163$	−4.86481	+	8.42610i	−0.381041	+	0.659983i	−0.991211	−	0.132288i	$-0.957768\pi$
$163$	−4.86481	+	8.42610i	−0.381041	+	0.659983i	0.610170	+	0.792270i	$0.291101\pi$
$164$	−7.55906	−	2.75127i	−0.590263	−	0.214838i
$165$	9.46628	−	3.12124i	0.736949	−	0.242988i
$166$	−2.52272	+	3.00646i	−0.195801	+	0.233347i
$167$	14.6276	−	5.32400i	1.13192	−	0.411983i	0.292928	−	0.956135i	$-0.405370\pi$
$167$	14.6276	−	5.32400i	1.13192	−	0.411983i	0.838987	+	0.544151i	$0.183148\pi$
$168$	0.501152	−	4.55509i	0.0386647	−	0.351433i
$169$	−2.62815	−	14.9050i	−0.202165	−	1.14654i
$170$		−	0.609395i		−	0.0467384i
$171$	−12.4539	−	16.8323i	−0.952374	−	1.28720i
$172$	8.64520			0.659190
$173$	−8.44568	+	7.08677i	−0.642113	+	0.538797i	−0.904666	−	0.426121i	$-0.859880\pi$
$173$	−8.44568	+	7.08677i	−0.642113	+	0.538797i	0.262553	+	0.964918i	$0.415435\pi$
$174$	4.93712	−	12.3741i	0.374282	−	0.938077i
$175$	−0.124955	−	0.451398i	−0.00944570	−	0.0341225i
$176$	−1.68438	+	2.00736i	−0.126965	+	0.151311i
$177$	0.516908	−	1.29554i	0.0388532	−	0.0973791i
$178$	−12.1953	+	2.15036i	−0.914077	+	0.161176i
$179$			15.4369i			1.15381i	0.816811	+	0.576905i	$0.195740\pi$
$179$			15.4369i			1.15381i	−0.816811	+	0.576905i	$0.804260\pi$
$180$	4.77881	+	4.53538i	0.356192	+	0.338048i
$181$	1.52832	−	0.882377i	0.113599	−	0.0655866i	−0.442124	−	0.896954i	$-0.645775\pi$
$181$	1.52832	−	0.882377i	0.113599	−	0.0655866i	0.555723	+	0.831367i	$0.312441\pi$
$182$	13.9697	−	1.33849i	1.03550	−	0.0992155i
$183$	9.37349	+	0.286624i	0.692908	+	0.0211879i
$184$	1.11412	−	6.31850i	0.0821342	−	0.465806i
$185$	−20.5738	+	7.48825i	−1.51262	+	0.550547i
$186$	5.74243	−	6.43352i	0.421055	−	0.471729i
$187$	0.716084	−	0.126265i	0.0523653	−	0.00923341i
$188$	−2.03769			−0.148614
$189$	−0.0524637	−	13.7476i	−0.00381617	−	0.999993i
$190$	−15.3279			−1.11201
$191$	1.97159	−	0.347644i	0.142659	−	0.0251547i	−0.101862	−	0.994798i	$-0.532480\pi$
$191$	1.97159	−	0.347644i	0.142659	−	0.0251547i	0.244522	+	0.969644i	$0.421369\pi$
$192$	−1.69575	−	0.352761i	−0.122380	−	0.0254583i
$193$	−0.492611	+	0.179296i	−0.0354589	+	0.0129060i	−0.359689	−	0.933072i	$-0.617117\pi$
$193$	−0.492611	+	0.179296i	−0.0354589	+	0.0129060i	0.324230	+	0.945978i	$0.394895\pi$
$194$	−2.68693	+	15.2383i	−0.192910	+	1.09405i
$195$	−10.6175	+	17.1567i	−0.760332	+	1.22861i
$196$	0.115575	+	6.99905i	0.00825534	+	0.499932i
$197$	4.32519	−	2.49715i	0.308157	−	0.177914i	−0.337945	−	0.941166i	$-0.609732\pi$
$197$	4.32519	−	2.49715i	0.308157	−	0.177914i	0.646101	+	0.763252i	$0.276398\pi$
$198$	−4.33926	+	6.55518i	−0.308378	+	0.465856i
$199$			4.41747i			0.313146i	0.987666	+	0.156573i	$0.0500447\pi$
$199$			4.41747i			0.313146i	−0.987666	+	0.156573i	$0.949955\pi$
$200$	−0.174339	+	0.0307407i	−0.0123276	+	0.00217369i
$201$	−9.51339	+	1.37913i	−0.671023	+	0.0972762i
$202$	−7.64038	+	9.10545i	−0.537575	+	0.640657i
$203$	−5.10468	+	19.7001i	−0.358279	+	1.38267i
$204$	0.297539	+	0.377447i	0.0208319	+	0.0264265i
$205$	−13.5330	+	11.3555i	−0.945184	+	0.793103i
$206$	7.84893			0.546861
$207$	1.17603	−	19.2120i	0.0817400	−	1.33532i
$208$		−	5.30423i		−	0.367782i
$209$	−3.17591	−	18.0115i	−0.219682	−	1.24588i
$210$	−8.11304	−	5.95492i	−0.559853	−	0.410928i
$211$	−6.88497	+	2.50592i	−0.473981	+	0.172515i	−0.567955	−	0.823060i	$-0.692265\pi$
$211$	−6.88497	+	2.50592i	−0.473981	+	0.172515i	0.0939739	+	0.995575i	$0.470043\pi$
$212$	2.67541	−	3.18843i	0.183748	−	0.218983i
$213$	0.306564	−	1.47368i	0.0210054	−	0.100975i
$214$	−6.93112	−	2.52272i	−0.473801	−	0.172450i
$215$	9.49298	−	16.4423i	0.647416	−	1.12136i
$216$	−5.17432	−	0.475851i	−0.352068	−	0.0323775i
$217$	−7.46621	+	10.8525i	−0.506839	+	0.736712i
$218$	−7.70071	−	9.17735i	−0.521558	−	0.621568i
$219$	1.00339	−	4.82336i	0.0678027	−	0.325932i
$220$	1.96825	+	5.40773i	0.132699	+	0.364589i
$221$	−0.946088	+	1.12750i	−0.0636407	+	0.0758441i
$222$	9.08683	−	14.6833i	0.609868	−	0.985480i
$223$	6.17047	−	1.08802i	0.413205	−	0.0728593i	0.0368188	−	0.999322i	$-0.488278\pi$
$223$	6.17047	−	1.08802i	0.413205	−	0.0728593i	0.376387	+	0.926463i	$0.377166\pi$
$224$	2.63750	+	0.208825i	0.176225	+	0.0139527i
$225$	−0.509223	+	0.150811i	−0.0339482	+	0.0100540i
$226$	−3.35498	−	5.81100i	−0.223170	−	0.386542i
$227$	−2.60896	−	14.7961i	−0.173162	−	0.982053i	−0.940243	−	0.340503i	$-0.889403\pi$
$227$	−2.60896	−	14.7961i	−0.173162	−	0.982053i	0.767081	−	0.641550i	$-0.221708\pi$
$228$	9.49381	−	7.48393i	0.628743	−	0.495635i
$229$	5.42940	+	14.9172i	0.358785	+	0.985754i	0.979452	+	0.201679i	$0.0646398\pi$
$229$	5.42940	+	14.9172i	0.358785	+	0.985754i	−0.620667	+	0.784074i	$0.713138\pi$
$230$	−10.7938	−	9.05706i	−0.711721	−	0.597205i
$231$	5.31648	−	10.7673i	0.349798	−	0.708434i
$232$	7.22796	+	2.63076i	0.474539	+	0.172718i
$233$	23.7478	−	13.7108i	1.55577	−	0.898224i	0.558116	−	0.829763i	$-0.311524\pi$
$233$	23.7478	−	13.7108i	1.55577	−	0.898224i	0.997654	−	0.0684609i	$-0.0218088\pi$
$234$	−1.80057	−	15.8105i	−0.117707	−	1.03356i
$235$	−2.23751	+	3.87549i	−0.145959	+	0.252809i
$236$	0.756755	+	0.275436i	0.0492606	+	0.0179294i
$237$	−20.8022	+	11.1768i	−1.35125	+	0.726009i
$238$	−0.523397	−	0.514826i	−0.0339268	−	0.0333712i
$239$	−9.08492	−	1.60192i	−0.587654	−	0.103619i	−0.128088	−	0.991763i	$-0.540884\pi$
$239$	−9.08492	−	1.60192i	−0.587654	−	0.103619i	−0.459566	+	0.888143i	$0.651995\pi$
$240$	−2.53295	+	2.83779i	−0.163502	+	0.183179i
$241$	−4.47351	+	12.2909i	−0.288164	+	0.791724i	0.708160	+	0.706052i	$0.249526\pi$
$241$	−4.47351	+	12.2909i	−0.288164	+	0.791724i	−0.996323	+	0.0856714i	$0.972696\pi$
$242$	3.57961	−	2.06669i	0.230106	−	0.132852i
$243$	−15.5848	+	0.338081i	−0.999765	+	0.0216879i
$244$			5.41432i			0.346616i
$245$	13.4384	+	7.46558i	0.858548	+	0.476959i
$246$	2.83767	−	13.6409i	0.180923	−	0.869712i
$247$	28.3598	+	23.7967i	1.80449	+	1.51415i
$248$	3.81399	+	3.20032i	0.242189	+	0.203220i
$249$	−5.78036	−	3.57720i	−0.366315	−	0.226696i
$250$	−3.88857	+	10.6838i	−0.245935	+	0.675700i
$251$	−5.88425	−	10.1918i	−0.371411	−	0.643302i	0.618372	−	0.785885i	$-0.287792\pi$
$251$	−5.88425	−	10.1918i	−0.371411	−	0.643302i	−0.989783	+	0.142583i	$0.954459\pi$
$252$	7.93256	−	0.272868i	0.499704	−	0.0171890i
$253$	8.40628	−	14.5601i	0.528499	−	0.915386i
$254$	7.63651	+	9.10083i	0.479157	+	0.571037i
$255$	1.04458	−	0.151430i	0.0654143	−	0.00948293i
$256$	0.173648	−	0.984808i	0.0108530	−	0.0615505i
$257$	20.3534	−	7.40802i	1.26961	−	0.462100i	0.382626	−	0.923903i	$-0.375020\pi$
$257$	20.3534	−	7.40802i	1.26961	−	0.462100i	0.886982	+	0.461804i	$0.152798\pi$
$258$	2.14827	+	14.8190i	0.133746	+	0.922592i
$259$	−10.9495	+	23.9966i	−0.680372	+	1.49108i
$260$	−10.0881	−	5.82438i	−0.625639	−	0.361213i
$261$	22.4377	+	5.38801i	1.38886	+	0.333510i
$262$	6.49625	+	3.75061i	0.401340	+	0.231713i
$263$	−10.4279	−	12.4275i	−0.643011	−	0.766310i	0.341832	−	0.939761i	$-0.388953\pi$
$263$	−10.4279	−	12.4275i	−0.643011	−	0.766310i	−0.984843	+	0.173451i	$0.944508\pi$
$264$	−3.85944	−	2.38843i	−0.237532	−	0.146998i
$265$	−3.12631	−	8.58947i	−0.192048	−	0.527647i
$266$	−12.9493	+	13.1649i	−0.793971	+	0.807190i
$267$	−6.71645	−	20.3700i	−0.411040	−	1.24663i
$268$	−0.963742	−	5.46565i	−0.0588699	−	0.333868i
$269$	14.2823	+	24.7376i	0.870804	+	1.50828i	0.861166	+	0.508324i	$0.169735\pi$
$269$	14.2823	+	24.7376i	0.870804	+	1.50828i	0.00963815	+	0.999954i	$0.496932\pi$
$270$	−6.58675	+	9.31853i	−0.400857	+	0.567108i
$271$	−0.716226	−	0.413513i	−0.0435076	−	0.0251192i	0.478088	−	0.878312i	$-0.341330\pi$
$271$	−0.716226	−	0.413513i	−0.0435076	−	0.0251192i	−0.521596	+	0.853193i	$0.674663\pi$
$272$	−0.212567	+	0.178365i	−0.0128887	+	0.0108149i
$273$	5.76572	+	23.6133i	0.348957	+	1.42914i
$274$	0.101897	−	0.577885i	0.00615581	−	0.0349113i
$275$	−0.456842	−	0.0805536i	−0.0275486	−	0.00485757i
$276$	11.1076	+	0.339650i	0.668599	+	0.0204445i
$277$	−5.13378	+	4.30775i	−0.308459	+	0.258828i	−0.783855	−	0.620944i	$-0.786749\pi$
$277$	−5.13378	+	4.30775i	−0.308459	+	0.258828i	0.475396	+	0.879772i	$0.342305\pi$
$278$	−2.77742			−0.166579
$279$	12.4549	+	8.24460i	0.745653	+	0.493592i
$280$	3.29330	−	4.78696i	0.196813	−	0.286075i
$281$	−2.92412	+	8.03395i	−0.174438	+	0.479266i	−0.995844	−	0.0910795i	$-0.970968\pi$
$281$	−2.92412	+	8.03395i	−0.174438	+	0.479266i	0.821405	+	0.570345i	$0.193190\pi$
$282$	−0.506352	−	3.49287i	−0.0301528	−	0.207998i
$283$	2.05702	+	0.362707i	0.122277	+	0.0215607i	0.234452	−	0.972128i	$-0.424671\pi$
$283$	2.05702	+	0.362707i	0.122277	+	0.0215607i	−0.112175	+	0.993688i	$0.535782\pi$
$284$	0.855840	+	0.150908i	0.0507847	+	0.00895472i
$285$	−3.80889	−	26.2741i	−0.225619	−	1.55634i
$286$	4.75385	−	13.0611i	0.281101	−	0.772319i
$287$	−1.67983	+	21.2165i	−0.0991571	+	1.25237i
$288$	0.183298	−	2.99440i	0.0108009	−	0.176446i
$289$	−16.9230			−0.995471
$290$	12.9402	−	10.8581i	0.759876	−	0.637611i
$291$	−26.7882	−	0.819136i	−1.57035	−	0.0480186i
$292$	2.80117	+	0.493922i	0.163926	+	0.0289046i
$293$	−2.57124	+	14.5822i	−0.150213	+	0.851902i	0.812819	+	0.582516i	$0.197932\pi$
$293$	−2.57124	+	14.5822i	−0.150213	+	0.851902i	−0.963032	+	0.269386i	$0.913179\pi$
$294$	−11.9686	+	1.93732i	−0.698021	+	0.112987i
$295$	1.35482	−	1.13683i	0.0788805	−	0.0661886i
$296$	8.63380	+	4.98473i	0.501830	+	0.289731i
$297$	−12.3147	−	5.80915i	−0.714573	−	0.337081i
$298$	10.6632	+	18.4692i	0.617702	+	1.06989i
$299$	5.90956	+	33.5148i	0.341759	+	1.93821i
$300$	−0.0960157	−	0.291202i	−0.00554347	−	0.0168125i
$301$	−6.10218	−	22.0440i	−0.351724	−	1.27060i
$302$	6.71663	+	18.4538i	0.386499	+	1.06190i
$303$	−17.5065	−	10.8340i	−1.00572	−	0.622396i
$304$	4.48636	+	5.34663i	0.257310	+	0.306650i
$305$	10.2975	+	5.94526i	0.589633	+	0.340425i
$306$	−0.573057	+	0.603815i	−0.0327595	+	0.0345178i
$307$	−11.3996	−	6.58154i	−0.650608	−	0.375628i	0.138081	−	0.990421i	$-0.455906\pi$
$307$	−11.3996	−	6.58154i	−0.650608	−	0.375628i	−0.788689	+	0.614792i	$0.789240\pi$
$308$	6.30740	+	2.87803i	0.359397	+	0.163991i
$309$	1.95040	+	13.4541i	0.110955	+	0.765377i
$310$	10.2747	−	3.73968i	0.583563	−	0.212400i
$311$	−1.01718	+	5.76873i	−0.0576791	+	0.327115i	−0.999971	−	0.00767933i	$-0.997556\pi$
$311$	−1.01718	+	5.76873i	−0.0576791	+	0.327115i	0.942291	+	0.334794i	$0.108667\pi$
$312$	9.09216	−	1.31806i	0.514742	−	0.0746207i
$313$	5.83497	+	6.95385i	0.329812	+	0.393055i	0.905312	−	0.424747i	$-0.139637\pi$
$313$	5.83497	+	6.95385i	0.329812	+	0.393055i	−0.575500	+	0.817802i	$0.695193\pi$
$314$	6.03173	−	10.4473i	0.340390	−	0.589573i
$315$	8.19149	−	15.3866i	0.461538	−	0.866935i
$316$	−6.81697	−	11.8073i	−0.383484	−	0.664215i
$317$	−4.15060	+	11.4037i	−0.233121	+	0.640495i	−0.999999	−	0.00129796i	$-0.999587\pi$
$317$	−4.15060	+	11.4037i	−0.233121	+	0.640495i	0.766878	+	0.641793i	$0.221809\pi$
$318$	6.13022	+	3.79371i	0.343766	+	0.212741i
$319$	15.4403	+	12.9559i	0.864491	+	0.725394i
$320$	−1.68233	−	1.41164i	−0.0940451	−	0.0789132i
$321$	2.60194	−	12.5077i	0.145226	−	0.698114i
$322$	−16.8977	+	1.61903i	−0.941671	+	0.0902251i
$323$		−	1.93672i		−	0.107762i
$324$	−0.470110	−	8.98771i	−0.0261172	−	0.499317i
$325$	0.813199	−	0.469500i	0.0451081	−	0.0260432i
$326$	3.32773	−	9.14285i	0.184306	−	0.506376i
$327$	13.8176	−	15.4805i	0.764116	−	0.856076i
$328$	7.92197	+	1.39686i	0.437418	+	0.0771285i
$329$	1.43830	+	5.19582i	0.0792958	+	0.286455i
$330$	−8.78046	+	4.71763i	−0.483349	+	0.259697i
$331$	−7.47480	−	2.72061i	−0.410852	−	0.149538i	0.128321	−	0.991733i	$-0.459041\pi$
$331$	−7.47480	−	2.72061i	−0.410852	−	0.149538i	−0.539174	+	0.842195i	$0.681263\pi$
$332$	1.96233	−	3.39886i	0.107697	−	0.186536i
$333$	27.4272	+	11.9273i	1.50300	+	0.653614i
$334$	−13.4808	+	7.78317i	−0.737639	+	0.425876i
$335$	−11.4534	−	4.16869i	−0.625765	−	0.227760i
$336$	0.297445	+	4.57291i	0.0162270	+	0.249473i
$337$	−2.51889	−	2.11360i	−0.137212	−	0.115135i	0.571598	−	0.820534i	$-0.306324\pi$
$337$	−2.51889	−	2.11360i	−0.137212	−	0.115135i	−0.708811	+	0.705399i	$0.750768\pi$
$338$	5.17644	+	14.2221i	0.281561	+	0.773583i
$339$	9.12714	−	7.19488i	0.495718	−	0.390772i
$340$	0.105820	+	0.600137i	0.00573891	+	0.0325470i
$341$	6.52330	+	11.2987i	0.353256	+	0.611858i
$342$	15.1876	+	14.4140i	0.821251	+	0.779417i
$343$	17.7650	−	5.23494i	0.959220	−	0.282660i
$344$	−8.51386	+	1.50122i	−0.459037	+	0.0809405i
$345$	12.8428	−	20.7526i	0.691435	−	1.11728i
$346$	7.08677	−	8.44568i	0.380987	−	0.454043i
$347$	−10.3285	−	28.3774i	−0.554464	−	1.52338i	−0.827552	−	0.561389i	$-0.810267\pi$
$347$	−10.3285	−	28.3774i	−0.554464	−	1.52338i	0.273088	−	0.961989i	$-0.411955\pi$
$348$	−2.71338	+	13.0434i	−0.145452	+	0.699200i
$349$	17.4044	+	20.7417i	0.931634	+	1.11028i	0.993685	+	0.112206i	$0.0357916\pi$
$349$	17.4044	+	20.7417i	0.931634	+	1.11028i	−0.0620506	+	0.998073i	$0.519764\pi$
$350$	0.201441	+	0.422842i	0.0107675	+	0.0226019i
$351$	26.6539	−	7.01521i	1.42268	−	0.374444i
$352$	1.31021	−	2.26935i	0.0698345	−	0.120957i
$353$	12.0681	+	4.39242i	0.642319	+	0.233785i	0.642584	−	0.766215i	$-0.277862\pi$
$353$	12.0681	+	4.39242i	0.642319	+	0.233785i	−0.000265518		1.00000i	$0.500085\pi$
$354$	−0.284086	+	1.36562i	−0.0150990	+	0.0725820i
$355$	1.22678	−	1.46202i	0.0651106	−	0.0775958i
$356$	11.6366	−	4.23539i	0.616740	−	0.224475i
$357$	0.752419	−	1.02510i	0.0398222	−	0.0542542i
$358$	−2.68059	−	15.2024i	−0.141674	−	0.803472i
$359$			1.58894i			0.0838610i	0.999121	+	0.0419305i	$0.0133508\pi$
$359$			1.58894i			0.0838610i	−0.999121	+	0.0419305i	$0.986649\pi$
$360$	−5.49377	−	3.63665i	−0.289547	−	0.191668i
$361$	−29.7139			−1.56389
$362$	−1.35188	+	1.13436i	−0.0710532	+	0.0596207i
$363$	4.43209	+	5.62237i	0.232624	+	0.295098i
$364$	−13.5250	+	3.74397i	−0.708905	+	0.196237i
$365$	4.01526	−	4.78520i	0.210168	−	0.250469i
$366$	−9.28086	+	1.34542i	−0.485118	+	0.0703262i
$367$	33.6297	−	5.92983i	1.75546	−	0.309535i	0.798984	−	0.601352i	$-0.205371\pi$
$367$	33.6297	−	5.92983i	1.75546	−	0.309535i	0.956474	+	0.291818i	$0.0942601\pi$
$368$			6.41597i			0.334456i
$369$	24.0875	+	1.47448i	1.25394	+	0.0767584i
$370$	18.9609	−	10.9471i	0.985732	−	0.569112i
$371$	−10.0185	−	4.57139i	−0.520134	−	0.237335i
$372$	−4.53802	+	7.33294i	−0.235285	+	0.380195i
$373$	2.58014	−	14.6327i	0.133595	−	0.757654i	−0.842233	−	0.539113i	$-0.818759\pi$
$373$	2.58014	−	14.6327i	0.133595	−	0.757654i	0.975828	−	0.218540i	$-0.0701295\pi$
$374$	−0.683280	+	0.248693i	−0.0353316	+	0.0128596i
$375$	−19.2796	−	4.01068i	−0.995597	−	0.207111i
$376$	2.00673	−	0.353841i	0.103489	−	0.0182480i
$377$	−40.7993			−2.10127
$378$	2.43892	+	13.5297i	0.125444	+	0.695891i
$379$	16.0308			0.823446			0.411723	−	0.911309i	$-0.364927\pi$
$379$	16.0308			0.823446			0.411723	+	0.911309i	$0.364927\pi$
$380$	15.0951	−	2.66167i	0.774361	−	0.136541i
$381$	−13.7024	+	15.3515i	−0.701996	+	0.786480i
$382$	−1.88127	+	0.684726i	−0.0962541	+	0.0350336i
$383$	4.19688	−	23.8017i	0.214451	−	1.21621i	−0.667407	−	0.744693i	$-0.732596\pi$
$383$	4.19688	−	23.8017i	0.214451	−	1.21621i	0.881857	−	0.471516i	$-0.156293\pi$
$384$	1.73124	+	0.0529382i	0.0883471	+	0.00270149i
$385$	12.3997	−	8.83578i	0.631945	−	0.450313i
$386$	0.453993	−	0.262113i	0.0231076	−	0.0133412i
$387$	−24.8679	+	7.36485i	−1.26411	+	0.374376i
$388$		−	15.4734i		−	0.785544i
$389$	23.2714	−	4.10338i	1.17991	−	0.208049i	0.450912	−	0.892568i	$-0.351099\pi$
$389$	23.2714	−	4.10338i	1.17991	−	0.208049i	0.728995	+	0.684519i	$0.239988\pi$
$390$	7.47694	−	18.7397i	0.378609	−	0.948922i
$391$	1.14438	−	1.36382i	0.0578739	−	0.0689715i
$392$	−1.32919	−	6.87265i	−0.0671343	−	0.347121i
$393$	−4.81477	+	12.0674i	−0.242873	+	0.608721i
$394$	−3.82585	+	3.21027i	−0.192744	+	0.161731i
$395$	−29.9419			−1.50654
$396$	3.13504	−	7.20910i	0.157542	−	0.362271i
$397$		−	5.98040i		−	0.300148i	−0.988675	−	0.150074i	$-0.952049\pi$
$397$		−	5.98040i		−	0.300148i	0.988675	−	0.150074i	$-0.0479511\pi$
$398$	−0.767086	−	4.35036i	−0.0384506	−	0.218064i
$399$	−25.7841	−	18.9254i	−1.29082	−	0.947455i
$400$	0.166352	−	0.0605473i	0.00831762	−	0.00302737i
$401$	16.8910	−	20.1299i	0.843498	−	1.00524i	−0.156348	−	0.987702i	$-0.549972\pi$
$401$	16.8910	−	20.1299i	0.843498	−	1.00524i	0.999846	−	0.0175396i	$-0.00558331\pi$
$402$	9.12937	−	3.01016i	0.455332	−	0.150133i
$403$	−24.8161	−	9.03233i	−1.23618	−	0.449933i
$404$	5.94316	−	10.2939i	0.295683	−	0.512139i
$405$	−17.6100	−	8.97497i	−0.875046	−	0.445970i
$406$	1.60625	−	20.2872i	0.0797169	−	1.00684i
$407$	16.7923	+	20.0123i	0.832364	+	0.991973i
$408$	−0.358562	−	0.320045i	−0.0177515	−	0.0158446i
$409$	2.26834	+	6.23222i	0.112162	+	0.308164i	0.983055	−	0.183309i	$-0.0586809\pi$
$409$	2.26834	+	6.23222i	0.112162	+	0.308164i	−0.870893	+	0.491473i	$0.836459\pi$
$410$	11.3555	−	13.5330i	0.560809	−	0.668346i
$411$	1.01589	+	0.0310642i	0.0501103	+	0.00153228i
$412$	−7.72968	+	1.36295i	−0.380814	+	0.0671478i
$413$	0.168172	−	2.12403i	0.00827518	−	0.104517i
$414$	2.17795	+	19.1243i	0.107041	+	0.939908i
$415$	−4.30953	−	7.46432i	−0.211546	−	0.366409i
$416$	0.921070	+	5.22365i	0.0451592	+	0.256111i
$417$	−0.690170	−	4.76087i	−0.0337978	−	0.233141i
$418$	6.25532	+	17.1864i	0.305958	+	0.840612i
$419$	3.29003	+	2.76066i	0.160728	+	0.134867i	0.719605	−	0.694384i	$-0.244323\pi$
$419$	3.29003	+	2.76066i	0.160728	+	0.134867i	−0.558877	+	0.829251i	$0.688767\pi$
$420$	9.02384	+	4.45564i	0.440318	+	0.217413i
$421$	−10.7013	−	3.89495i	−0.521549	−	0.189828i	0.0678121	−	0.997698i	$-0.478398\pi$
$421$	−10.7013	−	3.89495i	−0.521549	−	0.189828i	−0.589361	+	0.807870i	$0.700620\pi$
$422$	6.34522	−	3.66342i	0.308881	−	0.178332i
$423$	5.86142	−	1.73591i	0.284992	−	0.0844028i
$424$	−2.08110	+	3.60457i	−0.101067	+	0.175054i
$425$	−0.0461605	−	0.0168010i	−0.00223911	−	0.000814970i
$426$	−0.0460056	+	1.50452i	−0.00222898	+	0.0728943i
$427$	13.8057	−	3.82167i	0.668107	−	0.184944i
$428$	7.26388	+	1.28082i	0.351113	+	0.0619107i
$429$	23.5698	+	4.90314i	1.13796	+	0.236726i
$430$	−6.49358	+	17.8410i	−0.313148	+	0.860368i
$431$	−21.4060	+	12.3588i	−1.03109	+	0.595302i	−0.917297	−	0.398203i	$-0.869634\pi$
$431$	−21.4060	+	12.3588i	−1.03109	+	0.595302i	−0.113795	+	0.993504i	$0.536301\pi$
$432$	5.17834	−	0.429889i	0.249143	−	0.0206831i
$433$			19.5488i			0.939456i	0.882811	+	0.469728i	$0.155648\pi$
$433$			19.5488i			0.939456i	−0.882811	+	0.469728i	$0.844352\pi$
$434$	5.46827	−	11.9841i	0.262486	−	0.575254i
$435$	21.8278	+	19.4831i	1.04656	+	0.934142i
$436$	9.17735	+	7.70071i	0.439515	+	0.368797i
$437$	−34.3039	−	28.7844i	−1.64098	−	1.37694i
$438$	−0.150577	+	4.92432i	−0.00719484	+	0.235293i
$439$	8.99614	−	24.7167i	0.429362	−	1.17966i	−0.516839	−	0.856083i	$-0.672891\pi$
$439$	8.99614	−	24.7167i	0.429362	−	1.17966i	0.946201	−	0.323580i	$-0.104886\pi$
$440$	−2.87739	−	4.98379i	−0.137174	−	0.237593i
$441$	−6.29494	−	20.0343i	−0.299759	−	0.954015i
$442$	0.735926	−	1.27466i	0.0350044	−	0.0606294i
$443$	3.21783	+	3.83486i	0.152884	+	0.182200i	0.837050	−	0.547126i	$-0.184278\pi$
$443$	3.21783	+	3.83486i	0.152884	+	0.182200i	−0.684166	+	0.729326i	$0.739834\pi$
$444$	−6.39905	+	16.0382i	−0.303685	+	0.761137i
$445$	4.72247	−	26.7824i	0.223866	−	1.26961i
$446$	−5.88780	+	2.14298i	−0.278795	+	0.101473i
$447$	−29.0089	+	22.8676i	−1.37207	+	1.08160i
$448$	−2.63369	+	0.252344i	−0.124430	+	0.0119221i
$449$	−8.45180	−	4.87965i	−0.398865	−	0.230285i	0.287129	−	0.957892i	$-0.407299\pi$
$449$	−8.45180	−	4.87965i	−0.398865	−	0.230285i	−0.685994	+	0.727607i	$0.740633\pi$
$450$	0.475299	−	0.236945i	0.0224058	−	0.0111697i
$451$	18.2551	+	10.5396i	0.859598	+	0.496289i
$452$	4.31308	+	5.14013i	0.202870	+	0.241771i
$453$	−29.9632	+	16.0988i	−1.40779	+	0.756389i
$454$	5.13864	+	14.1183i	0.241168	+	0.662604i
$455$	−7.73070	+	29.8344i	−0.362421	+	1.39866i
$456$	−8.05001	+	9.01881i	−0.376976	+	0.422345i
$457$	5.69178	+	32.2797i	0.266250	+	1.50998i	0.765452	+	0.643494i	$0.222516\pi$
$457$	5.69178	+	32.2797i	0.266250	+	1.50998i	−0.499201	+	0.866486i	$0.666373\pi$
$458$	−7.93725	−	13.7477i	−0.370884	−	0.642389i
$459$	−1.17742	−	0.832252i	−0.0549572	−	0.0388462i
$460$	12.2025	+	7.04514i	0.568947	+	0.328482i
$461$	−21.0153	+	17.6339i	−0.978780	+	0.821294i	−0.983905	−	0.178693i	$-0.942813\pi$
$461$	−21.0153	+	17.6339i	−0.978780	+	0.821294i	0.00512489	+	0.999987i	$0.498369\pi$
$462$	−3.36599	+	11.5269i	−0.156600	+	0.536279i
$463$	0.371625	−	2.10759i	0.0172709	−	0.0979481i	−0.974954	−	0.222407i	$-0.928608\pi$
$463$	0.371625	−	2.10759i	0.0172709	−	0.0979481i	0.992225	+	0.124459i	$0.0397196\pi$
$464$	−7.57498	−	1.33567i	−0.351660	−	0.0620071i
$465$	8.96350	+	16.6829i	0.415672	+	0.773651i
$466$	−21.0062	+	17.6263i	−0.973091	+	0.816521i
$467$	28.4533			1.31666			0.658331	−	0.752728i	$-0.271263\pi$
$467$	28.4533			1.31666			0.658331	+	0.752728i	$0.271263\pi$
$468$	4.51868	+	15.2576i	0.208876	+	0.705285i
$469$	−13.2564	+	6.31531i	−0.612123	+	0.291614i
$470$	1.53055	−	4.20515i	0.0705990	−	0.193969i
$471$	19.4068	+	7.74312i	0.894220	+	0.356784i
$472$	−0.793087	−	0.139843i	−0.0365048	−	0.00643678i
$473$	−22.3099	−	3.93384i	−1.02581	−	0.180878i
$474$	18.5454	−	14.6192i	0.851817	−	0.671483i
$475$	−0.422592	+	1.16106i	−0.0193899	+	0.0532732i
$476$	0.604844	+	0.416117i	0.0277230	+	0.0190727i
$477$	−4.97961	+	11.4507i	−0.228001	+	0.524293i
$478$	9.22507			0.421945
$479$	−0.661507	+	0.555070i	−0.0302250	+	0.0253618i	−0.657775	−	0.753214i	$-0.728502\pi$
$479$	−0.661507	+	0.555070i	−0.0302250	+	0.0253618i	0.627550	+	0.778576i	$0.284058\pi$
$480$	2.00170	−	3.23452i	0.0913645	−	0.147635i
$481$	−52.0770	−	9.18257i	−2.37450	−	0.418689i
$482$	2.27126	−	12.8809i	0.103453	−	0.586711i
$483$	−6.97419	−	28.5626i	−0.317337	−	1.29964i
$484$	−3.16635	+	2.65689i	−0.143925	+	0.120768i
$485$	−29.4289	−	16.9908i	−1.33630	−	0.771512i
$486$	15.2893	−	3.03922i	0.693537	−	0.137862i
$487$	19.4189	+	33.6345i	0.879955	+	1.52413i	0.851389	+	0.524534i	$0.175760\pi$
$487$	19.4189	+	33.6345i	0.879955	+	1.52413i	0.0285652	+	0.999592i	$0.490906\pi$
$488$	−0.940186	−	5.33206i	−0.0425602	−	0.241371i
$489$	16.4990	+	3.43223i	0.746110	+	0.155211i
$490$	−14.5306	−	5.01861i	−0.656427	−	0.226718i
$491$	12.0364	+	33.0699i	0.543197	+	1.49242i	0.842730	+	0.538336i	$0.180947\pi$
$491$	12.0364	+	33.0699i	0.543197	+	1.49242i	−0.299533	+	0.954086i	$0.596831\pi$
$492$	−0.425845	+	13.9264i	−0.0191986	+	0.627851i
$493$	1.37195	+	1.63503i	0.0617896	+	0.0736380i
$494$	−32.0612	−	18.5105i	−1.44250	−	0.832828i
$495$	−10.2685	−	13.8786i	−0.461536	−	0.623796i
$496$	−4.31178	−	2.48941i	−0.193605	−	0.111778i
$497$	−0.219297	−	2.28879i	−0.00983683	−	0.102666i
$498$	6.31371	+	2.51910i	0.282924	+	0.112884i
$499$	22.6323	−	8.23749i	1.01316	−	0.368761i	0.218516	−	0.975833i	$-0.429878\pi$
$499$	22.6323	−	8.23749i	1.01316	−	0.368761i	0.794646	+	0.607073i	$0.207656\pi$
$500$	1.97428	−	11.1967i	0.0882924	−	0.500731i
$501$	−16.6913	−	21.1739i	−0.745711	−	0.945979i
$502$	7.56464	+	9.01519i	0.337627	+	0.402368i
$503$	−4.10860	+	7.11631i	−0.183194	+	0.317301i	−0.942966	−	0.332888i	$-0.891977\pi$
$503$	−4.10860	+	7.11631i	−0.183194	+	0.317301i	0.759773	+	0.650189i	$0.225310\pi$
$504$	−7.76467	+	1.64620i	−0.345866	+	0.0733274i
$505$	−13.0519	−	22.6066i	−0.580803	−	1.00598i
$506$	−5.75024	+	15.7986i	−0.255629	+	0.702335i
$507$	−23.0923	+	12.4072i	−1.02557	+	0.551023i
$508$	−9.10083	−	7.63651i	−0.403784	−	0.338815i
$509$	9.15288	+	7.68018i	0.405694	+	0.340418i	0.822690	−	0.568491i	$-0.192472\pi$
$509$	9.15288	+	7.68018i	0.405694	+	0.340418i	−0.416996	+	0.908909i	$0.636917\pi$
$510$	−1.00242	+	0.330520i	−0.0443878	+	0.0146357i
$511$	−0.717763	−	7.49123i	−0.0317520	−	0.331393i
$512$			1.00000i			0.0441942i
$513$	−20.9334	+	29.6153i	−0.924233	+	1.30755i
$514$	−18.7578	+	10.8298i	−0.827370	+	0.477682i
$515$	−5.89548	+	16.1977i	−0.259786	+	0.713756i
$516$	−4.68893	−	14.2208i	−0.206419	−	0.626038i
$517$	5.25849	+	0.927214i	0.231268	+	0.0407788i
$518$	6.61623	−	25.5334i	0.290700	−	1.12187i
$519$	16.2380	+	10.0490i	0.712770	+	0.441101i
$520$	10.9463	+	3.98411i	0.480025	+	0.174715i
$521$	6.34488	−	10.9896i	0.277974	−	0.481465i	−0.692907	−	0.721027i	$-0.743670\pi$
$521$	6.34488	−	10.9896i	0.277974	−	0.481465i	0.970881	+	0.239562i	$0.0770037\pi$
$522$	−23.0324	−	1.40990i	−1.00810	−	0.0617095i
$523$	3.47805	−	2.00805i	0.152084	−	0.0878059i	−0.422027	−	0.906583i	$-0.638681\pi$
$523$	3.47805	−	2.00805i	0.152084	−	0.0878059i	0.574111	+	0.818778i	$0.305348\pi$
$524$	−7.04884	−	2.56557i	−0.307930	−	0.112077i
$525$	−0.674751	+	0.450370i	−0.0294485	+	0.0196557i
$526$	12.4275	+	10.4279i	0.541863	+	0.454677i
$527$	0.472518	+	1.29823i	0.0205832	+	0.0565519i
$528$	4.21555	+	1.68196i	0.183458	+	0.0731979i
$529$	−3.15427	−	17.8888i	−0.137142	−	0.777772i
$530$	4.57036	+	7.91610i	0.198524	+	0.343853i
$531$	−2.41145	−	0.147614i	−0.104648	−	0.00640589i
$532$	10.4665	−	15.2135i	0.453780	−	0.659588i
$533$	−42.0200	+	7.40926i	−1.82009	+	0.320931i
$534$	10.1516	+	18.8943i	0.439304	+	0.817635i
$535$	10.4122	−	12.4088i	0.450158	−	0.536478i
$536$	1.89820	+	5.21527i	0.0819898	+	0.225265i
$537$	25.3928	−	8.37258i	1.09578	−	0.361304i
$538$	−18.3609	−	21.8817i	−0.791595	−	0.943386i
$539$	2.88653	−	18.1144i	0.124332	−	0.780243i
$540$	4.86854	−	10.3207i	0.209508	−	0.444134i
$541$	−10.2397	+	17.7356i	−0.440238	+	0.762515i	−0.997707	−	0.0676830i	$-0.978439\pi$
$541$	−10.2397	+	17.7356i	−0.440238	+	0.762515i	0.557469	+	0.830198i	$0.311773\pi$
$542$	0.777151	+	0.282860i	0.0333815	+	0.0121499i
$543$	−2.28038	−	2.03542i	−0.0978604	−	0.0873483i
$544$	0.178365	−	0.212567i	0.00764732	−	0.00911372i
$545$	24.7233	−	8.99855i	1.05903	−	0.385455i
$546$	−9.77854	−	22.2534i	−0.418483	−	0.952357i
$547$	−0.126540	−	0.717642i	−0.00541044	−	0.0306841i	0.981983	−	0.188969i	$-0.0605146\pi$
$547$	−0.126540	−	0.717642i	−0.00541044	−	0.0306841i	−0.987393	+	0.158285i	$0.949404\pi$
$548$			0.586800i			0.0250669i
$549$	−4.61246	−	15.5743i	−0.196855	−	0.664695i
$550$	0.463890			0.0197803
$551$	41.1254	−	34.5083i	1.75200	−	1.47010i
$552$	−10.9978	+	1.59432i	−0.468099	+	0.0678589i
$553$	−25.2953	+	25.7165i	−1.07567	+	1.09358i
$554$	4.30775	−	5.13378i	0.183019	−	0.218113i
$555$	23.4764	+	29.7813i	0.996519	+	1.26414i
$556$	2.73523	−	0.482295i	0.116000	−	0.0204538i
$557$			9.94950i			0.421574i	0.977532	+	0.210787i	$0.0676026\pi$
$557$			9.94950i			0.421574i	−0.977532	+	0.210787i	$0.932397\pi$
$558$	−13.6973	−	5.95659i	−0.579853	−	0.252162i
$559$	39.7126	−	22.9281i	1.67966	−	0.969755i
$560$	−2.41203	+	5.28611i	−0.101927	+	0.223379i
$561$	−0.596084	−	1.10943i	−0.0251667	−	0.0468403i
$562$	1.48461	−	8.41967i	0.0626247	−	0.355162i
$563$	17.2975	−	6.29576i	0.729001	−	0.265335i	0.0492591	−	0.998786i	$-0.484314\pi$
$563$	17.2975	−	6.29576i	0.729001	−	0.265335i	0.679742	+	0.733451i	$0.262092\pi$
$564$	1.10519	+	3.35188i	0.0465369	+	0.141140i
$565$	14.5121	−	2.55887i	0.610527	−	0.107652i
$566$	−2.08875			−0.0877967
$567$	−22.5856	+	7.54265i	−0.948505	+	0.316762i
$568$	−0.869042			−0.0364642
$569$	−42.8036	+	7.54742i	−1.79442	+	0.316404i	−0.968804	−	0.247830i	$-0.920283\pi$
$569$	−42.8036	+	7.54742i	−1.79442	+	0.316404i	−0.825615	+	0.564234i	$0.809172\pi$
$570$	8.31347	+	25.2136i	0.348213	+	1.05608i
$571$	−15.7177	+	5.72079i	−0.657767	+	0.239408i	−0.649272	−	0.760556i	$-0.724926\pi$
$571$	−15.7177	+	5.72079i	−0.657767	+	0.239408i	−0.00849501	+	0.999964i	$0.502704\pi$
$572$	−2.41359	+	13.6882i	−0.100917	+	0.572331i
$573$	−1.64119	−	3.05460i	−0.0685618	−	0.127608i
$574$	−2.02990	−	21.1859i	−0.0847263	−	0.884281i
$575$	−0.983641	+	0.567905i	−0.0410207	+	0.0236833i
$576$	0.339458	+	2.98073i	0.0141441	+	0.124197i
$577$		−	12.1187i		−	0.504509i	−0.967661	−	0.252255i	$-0.918828\pi$
$577$		−	12.1187i		−	0.504509i	0.967661	−	0.252255i	$-0.0811720\pi$
$578$	16.6659	−	2.93865i	0.693210	−	0.122232i
$579$	0.562110	+	0.713071i	0.0233605	+	0.0296342i
$580$	−10.8581	+	12.9402i	−0.450859	+	0.537313i
$581$	−10.0517	−	2.60460i	−0.417015	−	0.108057i
$582$	26.5235	−	3.84504i	1.09943	−	0.159382i
$583$	−8.35505	+	7.01072i	−0.346031	+	0.290354i
$584$	−2.84439			−0.117702
$585$	33.9803	+	8.15978i	1.40491	+	0.337365i
$586$		−	14.8072i		−	0.611679i
$587$	4.36589	+	24.7602i	0.180200	+	1.02196i	0.931969	+	0.362537i	$0.118089\pi$
$587$	4.36589	+	24.7602i	0.180200	+	1.02196i	−0.751770	+	0.659426i	$0.770799\pi$
$588$	11.4503	−	3.98621i	0.472204	−	0.164389i
$589$	32.6541	−	11.8851i	1.34549	−	0.489718i
$590$	−1.13683	+	1.35482i	−0.0468024	+	0.0557770i
$591$	−6.45353	−	5.76029i	−0.265463	−	0.236947i
$592$	−9.36823	−	3.40976i	−0.385032	−	0.140140i
$593$	23.9315	−	41.4506i	0.982749	−	1.70217i	0.331207	−	0.943558i	$-0.392544\pi$
$593$	23.9315	−	41.4506i	0.982749	−	1.70217i	0.651542	−	0.758612i	$-0.274122\pi$
$594$	13.1364	+	3.58247i	0.538992	+	0.146990i
$595$	1.45557	−	0.693430i	0.0596726	−	0.0284279i
$596$	−13.7083	−	16.3369i	−0.561515	−	0.669187i
$597$	7.26648	−	2.39592i	0.297397	−	0.0980586i
$598$	−11.6396	−	31.9794i	−0.475977	−	1.30774i
$599$	−1.82319	+	2.17279i	−0.0744934	+	0.0887778i	−0.802004	−	0.597319i	$-0.796233\pi$
$599$	−1.82319	+	2.17279i	−0.0744934	+	0.0887778i	0.727511	+	0.686096i	$0.240677\pi$
$600$	0.145124	+	0.270105i	0.00592465	+	0.0110270i
$601$	0.542325	−	0.0956266i	0.0221219	−	0.00390069i	−0.162576	−	0.986696i	$-0.551980\pi$
$601$	0.542325	−	0.0956266i	0.0221219	−	0.00390069i	0.184698	+	0.982795i	$0.440869\pi$
$602$	9.83738	+	20.6495i	0.400942	+	0.841611i
$603$	7.42840	+	14.9010i	0.302508	+	0.606814i
$604$	−9.81906	−	17.0071i	−0.399532	−	0.692009i
$605$	1.57628	+	8.93952i	0.0640848	+	0.363443i
$606$	19.1219	+	7.62942i	0.776773	+	0.309924i
$607$	−12.8516	−	35.3094i	−0.521628	−	1.43316i	−0.868707	−	0.495326i	$-0.835048\pi$
$607$	−12.8516	−	35.3094i	−0.521628	−	1.43316i	0.347079	−	0.937836i	$-0.387174\pi$
$608$	−5.34663	−	4.48636i	−0.216835	−	0.181946i
$609$	35.1741	−	2.28790i	1.42533	−	0.0927104i
$610$	−11.1734	−	4.06680i	−0.452399	−	0.164660i
$611$	−9.36034	+	5.40419i	−0.378679	+	0.218630i
$612$	0.459500	−	0.694152i	0.0185742	−	0.0280594i
$613$	12.5039	−	21.6573i	0.505027	−	0.874732i	−0.494957	−	0.868918i	$-0.664816\pi$
$613$	12.5039	−	21.6573i	0.505027	−	0.874732i	0.999983	−	0.00581396i	$-0.00185065\pi$
$614$	12.3693	+	4.50204i	0.499182	+	0.181688i
$615$	26.0191	+	16.1020i	1.04919	+	0.649295i
$616$	−6.71134	−	1.73904i	−0.270408	−	0.0700680i
$617$	−28.4465	−	5.01589i	−1.14521	−	0.201932i	−0.431328	−	0.902195i	$-0.641955\pi$
$617$	−28.4465	−	5.01589i	−1.14521	−	0.201932i	−0.713885	+	0.700263i	$0.753066\pi$
$618$	−4.25705	−	12.9110i	−0.171244	−	0.519357i
$619$	−6.77205	+	18.6061i	−0.272192	+	0.747841i	0.725998	+	0.687697i	$0.241378\pi$
$619$	−6.77205	+	18.6061i	−0.272192	+	0.747841i	−0.998190	+	0.0601437i	$0.980844\pi$
$620$	−9.46921	+	5.46705i	−0.380293	+	0.219562i
$621$	−32.2404	+	8.48556i	−1.29376	+	0.340514i
$622$		−	5.85772i		−	0.234873i
$623$	−19.0133	−	26.6822i	−0.761752	−	1.06900i
$624$	−8.72515	+	2.87688i	−0.349286	+	0.115167i
$625$	−18.4490	−	15.4806i	−0.737962	−	0.619223i
$626$	−6.95385	−	5.83497i	−0.277932	−	0.233212i
$627$	−27.9053	+	14.9931i	−1.11443	+	0.598768i
$628$	−4.12595	+	11.3359i	−0.164643	+	0.452353i
$629$	1.38319	+	2.39576i	0.0551515	+	0.0955252i
$630$	−5.39519	+	16.5753i	−0.214950	+	0.660374i
$631$	−6.76305	+	11.7139i	−0.269233	+	0.466325i	−0.968664	−	0.248375i	$-0.920103\pi$
$631$	−6.76305	+	11.7139i	−0.269233	+	0.466325i	0.699431	+	0.714700i	$0.253437\pi$
$632$	8.76373	+	10.4442i	0.348602	+	0.415448i
$633$	7.85633	+	9.96622i	0.312261	+	0.396122i
$634$	2.10732	−	11.9512i	0.0836922	−	0.474642i
$635$	−24.5172	+	8.92352i	−0.972934	+	0.354119i
$636$	−6.69586	−	2.67157i	−0.265508	−	0.105935i
$637$	19.0932	+	31.8443i	0.756500	+	1.26172i
$638$	−17.4555	−	10.0779i	−0.691070	−	0.398989i
$639$	−2.59038	+	0.295004i	−0.102474	+	0.0116702i
$640$	1.90190	+	1.09806i	0.0751793	+	0.0434048i
$641$	15.8778	+	18.9224i	0.627134	+	0.747389i	0.982279	−	0.187422i	$-0.0600132\pi$
$641$	15.8778	+	18.9224i	0.627134	+	0.747389i	−0.355146	+	0.934811i	$0.615569\pi$
$642$	−0.390469	+	12.7695i	−0.0154106	+	0.503973i
$643$	−4.88010	−	13.4080i	−0.192452	−	0.528759i	0.805509	−	0.592584i	$-0.201892\pi$
$643$	−4.88010	−	13.4080i	−0.192452	−	0.528759i	−0.997961	+	0.0638253i	$0.979670\pi$
$644$	16.3598	−	4.52869i	0.644668	−	0.178455i
$645$	−32.1954	−	6.69750i	−1.26769	−	0.263714i
$646$	0.336309	+	1.90730i	0.0132319	+	0.0750417i
$647$	19.4647	+	33.7139i	0.765238	+	1.32543i	0.940121	+	0.340841i	$0.110712\pi$
$647$	19.4647	+	33.7139i	0.765238	+	1.32543i	−0.174883	+	0.984589i	$0.555955\pi$
$648$	2.02367	+	8.76954i	0.0794972	+	0.344500i
$649$	−1.82756	−	1.05514i	−0.0717380	−	0.0414180i
$650$	−0.719316	+	0.603578i	−0.0282139	+	0.0236743i
$651$	21.9011	+	6.39539i	0.858372	+	0.250655i
$652$	−1.68953	+	9.58181i	−0.0661671	+	0.375252i
$653$	2.96898	+	0.523511i	0.116185	+	0.0204865i	0.231438	−	0.972850i	$-0.425657\pi$
$653$	2.96898	+	0.523511i	0.116185	+	0.0204865i	−0.115253	+	0.993336i	$0.536768\pi$
$654$	−10.9195	+	17.6448i	−0.426988	+	0.689965i
$655$	−12.6195	+	10.5890i	−0.493086	+	0.413748i
$656$	−8.04418			−0.314072
$657$	−8.47835	+	0.965550i	−0.330772	+	0.0376697i
$658$	−2.31869	−	4.86713i	−0.0903919	−	0.189741i
$659$	−10.2258	+	28.0951i	−0.398339	+	1.09443i	0.564754	+	0.825260i	$0.308971\pi$
$659$	−10.2258	+	28.0951i	−0.398339	+	1.09443i	−0.963093	+	0.269169i	$0.913251\pi$
$660$	7.82786	−	6.17067i	0.304699	−	0.240193i
$661$	−8.61706	−	1.51942i	−0.335165	−	0.0590986i	0.00353310	−	0.999994i	$-0.498875\pi$
$661$	−8.61706	−	1.51942i	−0.335165	−	0.0590986i	−0.338698	+	0.940895i	$0.609986\pi$
$662$	7.83367	+	1.38129i	0.304464	+	0.0536853i
$663$	2.36781	+	0.944730i	0.0919581	+	0.0366903i
$664$	−1.34231	+	3.68797i	−0.0520918	+	0.143121i
$665$	−17.4417	−	36.6116i	−0.676359	−	1.41974i
$666$	−29.0816	−	6.98345i	−1.12689	−	0.270603i
$667$	49.3506			1.91086
$668$	11.9245	−	10.0058i	0.461373	−	0.387138i
$669$	−5.13643	−	9.55995i	−0.198586	−	0.369609i
$670$	12.0033	+	2.11650i	0.463727	+	0.0817675i
$671$	2.46369	−	13.9723i	0.0951095	−	0.539393i
$672$	−1.08700	−	4.45179i	−0.0419321	−	0.171731i
$673$	23.2887	−	19.5415i	0.897713	−	0.753271i	−0.0720292	−	0.997403i	$-0.522947\pi$
$673$	23.2887	−	19.5415i	0.897713	−	0.753271i	0.969742	+	0.244132i	$0.0785030\pi$
$674$	2.84764	+	1.64409i	0.109687	+	0.0633278i
$675$	0.524264	+	0.755846i	0.0201789	+	0.0290925i
$676$	−7.56745	−	13.1072i	−0.291056	−	0.504123i
$677$	−0.705155	−	3.99913i	−0.0271013	−	0.153699i	0.968254	−	0.249968i	$-0.0804202\pi$
$677$	−0.705155	−	3.99913i	−0.0271013	−	0.153699i	−0.995355	+	0.0962690i	$0.969309\pi$
$678$	−7.73910	+	8.67048i	−0.297218	+	0.332988i
$679$	−39.4551	+	10.9218i	−1.51415	+	0.419142i
$680$	−0.208425	−	0.572644i	−0.00799274	−	0.0219599i
$681$	−22.9237	+	12.3166i	−0.878439	+	0.471973i
$682$	−8.38619	−	9.99427i	−0.321124	−	0.382700i
$683$	−4.56956	−	2.63824i	−0.174850	−	0.100949i	0.410021	−	0.912076i	$-0.365521\pi$
$683$	−4.56956	−	2.63824i	−0.174850	−	0.100949i	−0.584871	+	0.811127i	$0.698855\pi$
$684$	−17.4598	−	11.5577i	−0.667593	−	0.441919i
$685$	1.11604	+	0.644344i	0.0426416	+	0.0246191i
$686$	−16.5861	+	8.24027i	−0.633259	+	0.314615i
$687$	21.5931	−	17.0217i	0.823827	−	0.649419i
$688$	8.12383	−	2.95683i	0.309718	−	0.112728i
$689$	3.83368	−	21.7419i	0.146052	−	0.828300i
$690$	−9.04407	+	22.6675i	−0.344302	+	0.862935i
$691$	4.55259	+	5.42556i	0.173189	+	0.206398i	0.845656	−	0.533729i	$-0.179210\pi$
$691$	4.55259	+	5.42556i	0.173189	+	0.206398i	−0.672467	+	0.740127i	$0.734765\pi$
$692$	−5.51253	+	9.54797i	−0.209555	+	0.362960i
$693$	−20.5950	−	2.90540i	−0.782341	−	0.110367i
$694$	15.0993	+	26.1527i	0.573161	+	0.992745i
$695$	2.08618	−	5.73172i	0.0791332	−	0.217417i
$696$	0.407192	−	13.3164i	0.0154346	−	0.504758i
$697$	1.70992	+	1.43480i	0.0647680	+	0.0543468i
$698$	−20.7417	−	17.4044i	−0.785086	−	0.658765i
$699$	−35.4336	−	31.6273i	−1.34022	−	1.19626i
$700$	−0.271806	−	0.381438i	−0.0102733	−	0.0144170i
$701$			0.413908i			0.0156331i	0.999969	+	0.00781654i	$0.00248811\pi$
$701$			0.413908i			0.0156331i	−0.999969	+	0.00781654i	$0.997512\pi$
$702$	−25.0308	+	11.5370i	−0.944725	+	0.435437i
$703$	60.2599	−	34.7911i	2.27275	−	1.31217i
$704$	−0.896238	+	2.46239i	−0.0337782	+	0.0928049i
$705$	7.58852	+	1.57861i	0.285800	+	0.0594541i
$706$	−12.6475	−	2.23009i	−0.475994	−	0.0839305i
$707$	−30.4428	−	7.88835i	−1.14492	−	0.296672i
$708$	0.0426323	−	1.39421i	0.00160222	−	0.0523975i
$709$	32.2138	+	11.7249i	1.20981	+	0.440336i	0.866639	−	0.498935i	$-0.166276\pi$
$709$	32.2138	+	11.7249i	1.20981	+	0.440336i	0.343175	+	0.939272i	$0.388498\pi$
$710$	−0.954263	+	1.65283i	−0.0358129	+	0.0620297i
$711$	29.6677	+	28.1565i	1.11263	+	1.05595i
$712$	−10.7244	+	6.19172i	−0.401913	+	0.232045i
$713$	30.0175	+	10.9255i	1.12416	+	0.409162i
$714$	−0.562981	+	1.14019i	−0.0210690	+	0.0426704i
$715$	23.3833	+	19.6209i	0.874485	+	0.733780i
$716$	5.27974	+	14.5060i	0.197313	+	0.542113i
$717$	2.29236	+	15.8130i	0.0856099	+	0.590547i
$718$	−0.275917	−	1.56480i	−0.0102971	−	0.0583978i
$719$	6.59358	+	11.4204i	0.245899	+	0.425910i	0.962384	−	0.271693i	$-0.0875835\pi$
$719$	6.59358	+	11.4204i	0.245899	+	0.425910i	−0.716485	+	0.697603i	$0.754250\pi$
$720$	6.04181	+	2.62742i	0.225165	+	0.0979181i
$721$	8.93130	+	18.7476i	0.332619	+	0.698196i
$722$	29.2625	−	5.15976i	1.08904	−	0.192027i
$723$	22.6440	+	0.692414i	0.842141	+	0.0257512i
$724$	1.13436	−	1.35188i	0.0421582	−	0.0502422i
$725$	−0.465720	−	1.27956i	−0.0172964	−	0.0475215i
$726$	−5.34107	−	4.76733i	−0.198226	−	0.176932i
$727$	−2.79396	−	3.32972i	−0.103622	−	0.123492i	0.711741	−	0.702442i	$-0.247907\pi$
$727$	−2.79396	−	3.32972i	−0.103622	−	0.123492i	−0.815363	+	0.578950i	$0.803463\pi$
$728$	12.6694	−	6.03569i	0.469561	−	0.223698i
$729$	9.00891	+	25.4527i	0.333663	+	0.942692i
$730$	−3.12332	+	5.40974i	−0.115599	+	0.200223i
$731$	−2.25425	−	0.820480i	−0.0833765	−	0.0303466i
$732$	8.90623	−	2.93658i	0.329184	−	0.108539i
$733$	7.89532	−	9.40928i	0.291620	−	0.347540i	−0.600265	−	0.799801i	$-0.704938\pi$
$733$	7.89532	−	9.40928i	0.291620	−	0.347540i	0.891885	+	0.452262i	$0.149383\pi$
$734$	−32.0891	+	11.6795i	−1.18443	+	0.431098i
$735$	4.99180	−	26.1545i	0.184125	−	0.964724i
$736$	−1.11412	−	6.31850i	−0.0410671	−	0.232903i
$737$			14.5433i			0.535708i
$738$	−23.9776	+	2.73066i	−0.882626	+	0.100517i
$739$	8.04416			0.295909			0.147955	−	0.988994i	$-0.452731\pi$
$739$	8.04416			0.295909			0.147955	+	0.988994i	$0.452731\pi$
$740$	−16.7719	+	14.0733i	−0.616548	+	0.517345i
$741$	23.7625	−	59.5569i	0.872939	−	2.18788i
$742$	10.6601	+	2.76224i	0.391344	+	0.101405i
$743$	8.41079	−	10.0236i	0.308562	−	0.367730i	−0.589371	−	0.807863i	$-0.700624\pi$
$743$	8.41079	−	10.0236i	0.308562	−	0.367730i	0.897933	+	0.440133i	$0.145069\pi$
$744$	3.19573	−	8.00956i	0.117161	−	0.293645i
$745$	−46.1239	+	8.13288i	−1.68985	+	0.297966i
$746$			14.8585i			0.544007i
$747$	−2.74916	+	11.4485i	−0.100587	+	0.418880i
$748$	0.629714	−	0.363566i	0.0230246	−	0.0132933i
$749$	−1.86127	−	19.4259i	−0.0680094	−	0.709808i
$750$	19.6832	+	0.601876i	0.718729	+	0.0219774i
$751$	−6.23340	+	35.3514i	−0.227460	+	1.28999i	0.630466	+	0.776217i	$0.282864\pi$
$751$	−6.23340	+	35.3514i	−0.227460	+	1.28999i	−0.857926	+	0.513773i	$0.828247\pi$
$752$	−1.91480	+	0.696931i	−0.0698257	+	0.0254145i
$753$	−13.5735	+	15.2070i	−0.494645	+	0.554175i
$754$	40.1795	−	7.08472i	1.46325	−	0.258010i
$755$	−43.1278			−1.56958
$756$	−4.75127	−	12.9006i	−0.172802	−	0.469190i
$757$	−29.7813			−1.08242			−0.541211	−	0.840887i	$-0.682034\pi$
$757$	−29.7813			−1.08242			−0.541211	+	0.840887i	$0.682034\pi$
$758$	−15.7872	+	2.78372i	−0.573418	+	0.101109i
$759$	−28.5099	−	5.93082i	−1.03484	−	0.215275i
$760$	−14.4036	+	5.24246i	−0.522472	+	0.190164i
$761$	−2.80638	+	15.9158i	−0.101731	+	0.576946i	0.890744	+	0.454504i	$0.150184\pi$
$761$	−2.80638	+	15.9158i	−0.101731	+	0.576946i	−0.992476	+	0.122442i	$0.960927\pi$
$762$	10.8285	−	17.4977i	0.392275	−	0.633873i
$763$	13.1579	−	28.8365i	0.476349	−	1.04395i
$764$	1.73379	−	1.00100i	0.0627262	−	0.0362150i
$765$	−0.815648	−	1.63615i	−0.0294898	−	0.0591550i
$766$			24.1689i			0.873257i
$767$	4.20672	−	0.741758i	0.151896	−	0.0267833i
$768$	−1.71413	+	0.248493i	−0.0618534	+	0.00896672i
$769$	31.3696	−	37.3848i	1.13122	−	1.34813i	0.201659	−	0.979456i	$-0.435367\pi$
$769$	31.3696	−	37.3848i	1.13122	−	1.34813i	0.929558	−	0.368676i	$-0.120189\pi$
$770$	−10.6770	+	10.8547i	−0.384771	+	0.391177i
$771$	−23.2249	−	29.4622i	−0.836424	−	1.06105i
$772$	−0.401580	+	0.336966i	−0.0144532	+	0.0121277i
$773$	47.0966			1.69395			0.846974	−	0.531634i	$-0.178422\pi$
$773$	47.0966			1.69395			0.846974	+	0.531634i	$0.178422\pi$
$774$	23.2113	−	11.5712i	0.834311	−	0.415919i
$775$		−	0.881392i		−	0.0316605i
$776$	2.68693	+	15.2383i	0.0964552	+	0.547025i
$777$	45.4118	+	4.99621i	1.62914	+	0.179238i
$778$	−22.2053	+	8.08208i	−0.796099	+	0.289756i
$779$	36.0891	−	43.0093i	1.29303	−	1.54097i
$780$	−4.10923	+	19.7534i	−0.147134	+	0.707284i
$781$	−2.13992	−	0.778868i	−0.0765725	−	0.0278701i
$782$	−0.890172	+	1.54182i	−0.0318325	+	0.0551355i
$783$	−3.30664	−	39.8309i	−0.118170	−	1.42344i
$784$	2.50242	+	6.53742i	0.0893721	+	0.233479i
$785$	17.0293	+	20.2947i	0.607802	+	0.724350i
$786$	2.64614	−	12.7202i	0.0943846	−	0.453714i
$787$	−17.9299	−	49.2621i	−0.639133	−	1.75600i	−0.654432	−	0.756121i	$-0.727092\pi$
$787$	−17.9299	−	49.2621i	−0.639133	−	1.75600i	0.0152983	−	0.999883i	$-0.495130\pi$
$788$	3.21027	−	3.82585i	0.114361	−	0.136290i
$789$	−14.7866	+	23.8936i	−0.526418	+	0.850634i
$790$	29.4870	−	5.19935i	1.04910	−	0.184984i
$791$	10.0622	−	14.6259i	0.357772	−	0.520037i
$792$	−1.83557	+	7.64397i	−0.0652240	+	0.271617i
$793$	14.3594	+	24.8712i	0.509917	+	0.883202i
$794$	1.03849	+	5.88954i	0.0368545	+	0.209012i
$795$	−12.4335	+	9.80131i	−0.440972	+	0.347616i
$796$	1.51087	+	4.15107i	0.0535512	+	0.147131i
$797$	−8.20027	−	6.88084i	−0.290468	−	0.243732i	0.485895	−	0.874017i	$-0.338494\pi$
$797$	−8.20027	−	6.88084i	−0.290468	−	0.243732i	−0.776364	+	0.630285i	$0.782938\pi$
$798$	28.6788	+	14.1605i	1.01522	+	0.501276i
$799$	0.531331	+	0.193389i	0.0187971	+	0.00684160i
$800$	−0.153311	+	0.0885143i	−0.00542037	+	0.00312945i
$801$	−29.8647	+	22.0963i	−1.05522	+	0.780736i
$802$	−13.1389	+	22.7572i	−0.463950	+	0.803586i
$803$	−7.00399	−	2.54925i	−0.247166	−	0.0899609i
$804$	−8.46797	+	4.54973i	−0.298642	+	0.160456i
$805$	9.35101	−	36.0876i	0.329580	−	1.27192i
$806$	26.0076	+	4.58584i	0.916078	+	0.161529i
$807$	32.9455	−	36.9105i	1.15974	−	1.29931i
$808$	−4.06536	+	11.1695i	−0.143019	+	0.392941i
$809$	−36.3315	+	20.9760i	−1.27735	+	0.737477i	−0.976360	−	0.216151i	$-0.930650\pi$
$809$	−36.3315	+	20.9760i	−1.27735	+	0.737477i	−0.300987	+	0.953628i	$0.597316\pi$
$810$	18.9009	+	5.78069i	0.664110	+	0.203113i
$811$		−	17.4893i		−	0.614132i	−0.951688	−	0.307066i	$-0.900653\pi$
$811$		−	17.4893i		−	0.614132i	0.951688	−	0.307066i	$-0.0993473\pi$
$812$	1.94099	+	20.2579i	0.0681153	+	0.710913i
$813$	−0.291743	+	1.40243i	−0.0102319	+	0.0491853i
$814$	−20.0123	−	16.7923i	−0.701431	−	0.588570i
$815$	16.3684	+	13.7347i	0.573361	+	0.481107i
$816$	0.408690	+	0.252919i	0.0143070	+	0.00885395i
$817$	−20.6373	+	56.7006i	−0.722008	+	1.98370i
$818$	−3.31610	−	5.74365i	−0.115945	−	0.200822i
$819$	35.7153	−	22.2915i	1.24800	−	0.778929i
$820$	−8.83302	+	15.2992i	−0.308462	+	0.534273i
$821$	−10.8716	−	12.9563i	−0.379422	−	0.452178i	0.542210	−	0.840243i	$-0.317588\pi$
$821$	−10.8716	−	12.9563i	−0.379422	−	0.452178i	−0.921632	+	0.388065i	$0.873143\pi$
$822$	−1.00585	+	0.145816i	−0.0350832	+	0.00508591i
$823$	−7.41091	+	42.0294i	−0.258328	+	1.46505i	0.529055	+	0.848587i	$0.322546\pi$
$823$	−7.41091	+	42.0294i	−0.258328	+	1.46505i	−0.787383	+	0.616464i	$0.788565\pi$
$824$	7.37558	−	2.68449i	0.256940	−	0.0935187i
$825$	0.115273	+	0.795169i	0.00401330	+	0.0276842i
$826$	0.203218	+	2.12097i	0.00707086	+	0.0737979i
$827$	−25.3396	−	14.6298i	−0.881144	−	0.508729i	−0.0101089	−	0.999949i	$-0.503218\pi$
$827$	−25.3396	−	14.6298i	−0.881144	−	0.508729i	−0.871036	+	0.491220i	$0.836551\pi$
$828$	−5.46577	−	18.4556i	−0.189949	−	0.641375i
$829$	30.8005	+	17.7827i	1.06975	+	0.617619i	0.928112	−	0.372300i	$-0.121431\pi$
$829$	30.8005	+	17.7827i	1.06975	+	0.617619i	0.141635	+	0.989919i	$0.454764\pi$
$830$	5.54022	+	6.60258i	0.192304	+	0.229179i
$831$	9.87043	+	6.10835i	0.342401	+	0.211896i
$832$	−1.81415	−	4.98435i	−0.0628945	−	0.172801i
$833$	0.634114	−	1.83598i	0.0219707	−	0.0636130i
$834$	1.50640	+	4.56870i	0.0521624	+	0.158201i
$835$	−5.93627	−	33.6663i	−0.205433	−	1.16507i
$836$	−9.14467	−	15.8390i	−0.316275	−	0.547804i
$837$	6.80670	−	24.9592i	0.235274	−	0.862715i
$838$	−3.71943	−	2.14741i	−0.128485	−	0.0741811i
$839$	32.5420	−	27.3060i	1.12348	−	0.942708i	0.124701	−	0.992194i	$-0.460203\pi$
$839$	32.5420	−	27.3060i	1.12348	−	0.942708i	0.998775	+	0.0494863i	$0.0157584\pi$
$840$	−9.66046	−	2.82097i	−0.333318	−	0.0973327i
$841$	−5.23799	+	29.7061i	−0.180620	+	1.02435i
$842$	11.2151	+	1.97752i	0.386496	+	0.0681498i
$843$	14.8013	+	0.452598i	0.509785	+	0.0155883i
$844$	−5.61268	+	4.70960i	−0.193196	+	0.162111i
$845$	−33.2381			−1.14343
$846$	−5.47094	+	2.72736i	−0.188095	+	0.0937686i
$847$	9.00964	+	6.19840i	0.309575	+	0.212980i
$848$	1.42356	−	3.91119i	0.0488852	−	0.134311i
$849$	−0.519039	−	3.58039i	−0.0178134	−	0.122879i
$850$	0.0483767	+	0.00853011i	0.00165931	+	0.000292580i
$851$	62.9920	+	11.1072i	2.15934	+	0.380750i
$852$	−0.215951	−	1.48965i	−0.00739836	−	0.0510347i
$853$	−2.95561	+	8.12048i	−0.101198	+	0.278040i	−0.979951	−	0.199237i	$-0.936154\pi$
$853$	−2.95561	+	8.12048i	−0.101198	+	0.278040i	0.878753	+	0.477276i	$0.158376\pi$
$854$	−12.9324	+	6.16095i	−0.442537	+	0.210823i
$855$	−41.1535	+	20.5158i	−1.40742	+	0.701625i
$856$	−7.37594			−0.252104
$857$	−12.9382	+	10.8564i	−0.441961	+	0.370849i	−0.836442	−	0.548055i	$-0.815369\pi$
$857$	−12.9382	+	10.8564i	−0.441961	+	0.370849i	0.394482	+	0.918904i	$0.370924\pi$
$858$	−24.0631	−	0.735806i	−0.821501	−	0.0251200i
$859$	39.4480	+	6.95574i	1.34595	+	0.237327i	0.799752	−	0.600331i	$-0.204964\pi$
$859$	39.4480	+	6.95574i	1.34595	+	0.237327i	0.546195	+	0.837658i	$0.316076\pi$
$860$	3.29688	−	18.6975i	0.112423	−	0.637580i
$861$	35.8110	−	8.74406i	1.22044	−	0.297997i
$862$	18.9348	−	15.8881i	0.644920	−	0.541152i
$863$	8.59532	+	4.96251i	0.292588	+	0.168926i	0.639108	−	0.769117i	$-0.279304\pi$
$863$	8.59532	+	4.96251i	0.292588	+	0.168926i	−0.346520	+	0.938042i	$0.612637\pi$
$864$	−5.02502	+	1.32257i	−0.170955	+	0.0449947i
$865$	12.1062	+	20.9686i	0.411623	+	0.712952i
$866$	−3.39462	−	19.2518i	−0.115354	−	0.654204i
$867$	9.17859	+	27.8373i	0.311721	+	0.945406i
$868$	−3.30419	+	12.7516i	−0.112151	+	0.432816i
$869$	12.2192	+	33.5721i	0.414510	+	1.13886i
$870$	−24.8794	−	15.3967i	−0.843491	−	0.521998i
$871$	−18.9226	−	22.5511i	−0.641168	−	0.764114i
$872$	−10.3751	−	5.99009i	−0.351347	−	0.202850i
$873$	13.1818	+	44.5093i	0.446137	+	1.50641i
$874$	38.7811	+	22.3903i	1.31179	+	0.757362i
$875$	−29.9435	+	2.86900i	−1.01228	+	0.0969899i
$876$	−0.706810	−	4.87565i	−0.0238809	−	0.164733i
$877$	−15.4350	+	5.61789i	−0.521204	+	0.189703i	−0.589207	−	0.807982i	$-0.700560\pi$
$877$	−15.4350	+	5.61789i	−0.521204	+	0.189703i	0.0680025	+	0.997685i	$0.478337\pi$
$878$	−4.56746	+	25.9033i	−0.154144	+	0.874195i
$879$	25.3815	−	3.67948i	0.856095	−	0.124106i
$880$	3.69910	+	4.40842i	0.124697	+	0.148608i
$881$	9.35999	−	16.2120i	0.315346	−	0.546196i	−0.664165	−	0.747586i	$-0.731213\pi$
$881$	9.35999	−	16.2120i	0.315346	−	0.546196i	0.979511	+	0.201391i	$0.0645460\pi$
$882$	9.67823	+	18.6368i	0.325883	+	0.627535i
$883$	−3.61693	−	6.26471i	−0.121720	−	0.210824i	0.798726	−	0.601694i	$-0.205508\pi$
$883$	−3.61693	−	6.26471i	−0.121720	−	0.210824i	−0.920446	+	0.390870i	$0.872174\pi$
$884$	−0.503403	+	1.38309i	−0.0169313	+	0.0465183i
$885$	−2.60483	−	1.61201i	−0.0875604	−	0.0541871i
$886$	−3.83486	−	3.21783i	−0.128835	−	0.108105i
$887$	32.5412	+	27.3053i	1.09263	+	0.916823i	0.996907	−	0.0785858i	$-0.0250405\pi$
$887$	32.5412	+	27.3053i	1.09263	+	0.916823i	0.0957192	+	0.995408i	$0.469485\pi$
$888$	3.51684	−	16.9057i	0.118017	−	0.567318i
$889$	−13.0482	+	28.5960i	−0.437624	+	0.959080i
$890$			27.1956i			0.911599i
$891$	−2.87652	+	23.4077i	−0.0963671	+	0.784188i
$892$	5.42622	−	3.13283i	0.181683	−	0.104895i
$893$	4.86426	−	13.3644i	0.162776	−	0.447224i
$894$	24.5973	−	27.5575i	0.822656	−	0.921661i
$895$	33.3864	+	5.88692i	1.11598	+	0.196778i
$896$	2.54986	−	0.705846i	0.0851848	−	0.0235806i
$897$	51.9247	−	27.8984i	1.73371	−	0.931502i
$898$	9.17074	+	3.33788i	0.306032	+	0.111386i
$899$	−19.1481	+	33.1655i	−0.638625	+	1.10613i
$900$	−0.426933	+	0.315880i	−0.0142311	+	0.0105293i
$901$	−1.00022	+	0.577477i	−0.0333221	+	0.0192385i
$902$	−19.8079	−	7.20950i	−0.659532	−	0.240050i
$903$	−32.9515	+	21.9938i	−1.09656	+	0.731909i
$904$	−5.14013	−	4.31308i	−0.170958	−	0.143451i
$905$	−1.32554	−	3.64189i	−0.0440625	−	0.121061i
$906$	26.7125	−	21.0573i	0.887462	−	0.699582i
$907$	3.45853	+	19.6143i	0.114839	+	0.651282i	0.986830	+	0.161761i	$0.0517173\pi$
$907$	3.45853	+	19.6143i	0.114839	+	0.651282i	−0.871991	+	0.489521i	$0.837172\pi$
$908$	−7.51219	−	13.0115i	−0.249301	−	0.431801i
$909$	−8.32618	+	34.6733i	−0.276162	+	1.15004i
$910$	2.43256	−	30.7236i	0.0806385	−	1.01848i
$911$	−49.3787	+	8.70679i	−1.63599	+	0.288469i	−0.914690	−	0.404156i	$-0.867565\pi$
$911$	−49.3787	+	8.70679i	−1.63599	+	0.288469i	−0.721298	+	0.692625i	$0.756454\pi$
$912$	6.36161	−	10.2797i	0.210654	−	0.340394i
$913$	−6.61060	+	7.87821i	−0.218779	+	0.260731i
$914$	−11.2106	−	30.8009i	−0.370814	−	1.01880i
$915$	4.19451	−	20.1633i	0.138666	−	0.666579i
$916$	10.2039	+	12.1606i	0.337148	+	0.401797i
$917$	−1.56645	+	19.7845i	−0.0517286	+	0.653340i
$918$	1.30405	+	0.615152i	0.0430401	+	0.0203030i
$919$	−4.83690	+	8.37776i	−0.159555	+	0.276357i	−0.934708	−	0.355416i	$-0.884339\pi$
$919$	−4.83690	+	8.37776i	−0.159555	+	0.276357i	0.775154	+	0.631773i	$0.217672\pi$
$920$	−13.2405	−	4.81916i	−0.436528	−	0.158883i
$921$	−4.64342	+	22.3213i	−0.153006	+	0.735511i
$922$	17.6339	−	21.0153i	0.580743	−	0.692102i
$923$	4.33161	−	1.57658i	0.142577	−	0.0518937i
$924$	1.31323	−	11.9363i	0.0432021	−	0.392674i
$925$	−0.306468	−	1.73807i	−0.0100766	−	0.0571473i
$926$			2.14011i			0.0703282i
$927$	21.0734	−	10.5055i	0.692140	−	0.345044i
$928$	7.69184			0.252497
$929$	17.5034	−	14.6871i	0.574268	−	0.481868i	−0.308791	−	0.951130i	$-0.599924\pi$
$929$	17.5034	−	14.6871i	0.574268	−	0.481868i	0.883059	+	0.469262i	$0.155480\pi$
$930$	−11.7243	−	14.8730i	−0.384454	−	0.487704i
$931$	−46.1800	−	15.9497i	−1.51349	−	0.522730i
$932$	17.6263	−	21.0062i	0.577367	−	0.688079i
$933$	10.0409	−	1.45560i	0.328725	−	0.0476543i
$934$	−28.0211	+	4.94087i	−0.916877	+	0.161670i
$935$		−	1.59687i		−	0.0522233i
$936$	−7.09949	−	14.2412i	−0.232054	−	0.465488i
$937$	−13.4900	+	7.78846i	−0.440699	+	0.254438i	−0.703894	−	0.710305i	$-0.748557\pi$
$937$	−13.4900	+	7.78846i	−0.440699	+	0.254438i	0.263195	+	0.964743i	$0.415224\pi$
$938$	11.9584	−	8.52132i	0.390454	−	0.278231i
$939$	8.27393	−	13.3698i	0.270010	−	0.436306i
$940$	−0.777080	+	4.40704i	−0.0253456	+	0.143742i
$941$	28.9688	−	10.5438i	0.944355	−	0.343717i	0.176471	−	0.984306i	$-0.443532\pi$
$941$	28.9688	−	10.5438i	0.944355	−	0.343717i	0.767884	+	0.640589i	$0.221310\pi$
$942$	−20.4566	−	4.25552i	−0.666512	−	0.138652i
$943$	50.8272	−	8.96220i	1.65516	−	0.291849i
$944$	0.805322			0.0262110
$945$	−29.7529	−	5.12924i	−0.967861	−	0.166854i
$946$	22.6541			0.736548
$947$	13.2348	−	2.33365i	0.430072	−	0.0758334i	0.0455782	−	0.998961i	$-0.485487\pi$
$947$	13.2348	−	2.33365i	0.430072	−	0.0758334i	0.384494	+	0.923127i	$0.374376\pi$
$948$	−15.7250	+	17.6175i	−0.510725	+	0.572190i
$949$	14.1774	−	5.16016i	0.460218	−	0.167506i
$950$	0.214556	−	1.21681i	0.00696110	−	0.0394784i
$951$	21.0096	+	0.642435i	0.681282	+	0.0208324i
$952$	−0.667913	−	0.304765i	−0.0216472	−	0.00987750i
$953$	48.2459	−	27.8548i	1.56284	−	0.902305i	0.565870	−	0.824494i	$-0.308540\pi$
$953$	48.2459	−	27.8548i	1.56284	−	0.902305i	0.996968	−	0.0778110i	$-0.0247931\pi$
$954$	2.91556	−	12.1415i	0.0943947	−	0.393094i
$955$		−	4.39666i		−	0.142272i
$956$	−9.08492	+	1.60192i	−0.293827	+	0.0518097i
$957$	12.9374	−	32.4253i	0.418205	−	1.04816i
$958$	0.555070	−	0.661507i	0.0179335	−	0.0213723i
$959$	1.49626	−	0.414190i	0.0483167	−	0.0133749i
$960$	−1.40962	+	3.53297i	−0.0454952	+	0.114026i
$961$	4.75823	−	3.99263i	0.153491	−	0.128795i
$962$	52.8803			1.70493
$963$	−21.9857	+	2.50382i	−0.708479	+	0.0806846i
$964$			13.0797i			0.421267i
$965$	0.199915	+	1.13378i	0.00643550	+	0.0364975i
$966$	11.8281	+	26.9176i	0.380562	+	0.866059i
$967$	−41.5868	+	15.1364i	−1.33734	+	0.486753i	−0.908974	−	0.416852i	$-0.863133\pi$
$967$	−41.5868	+	15.1364i	−1.33734	+	0.486753i	−0.428368	+	0.903605i	$0.640911\pi$
$968$	2.65689	−	3.16635i	0.0853956	−	0.101770i
$969$	−3.18580	+	1.05043i	−0.102343	+	0.0337446i
$970$	31.9323	+	11.6224i	1.02528	+	0.373173i
$971$	0.495887	−	0.858901i	0.0159138	−	0.0275634i	−0.857959	−	0.513718i	$-0.828268\pi$
$971$	0.495887	−	0.858901i	0.0159138	−	0.0275634i	0.873873	+	0.486155i	$0.161601\pi$
$972$	−14.5293	+	5.64800i	−0.466027	+	0.181160i
$973$	−3.16043	−	6.63402i	−0.101319	−	0.212677i
$974$	−24.9645	−	29.7515i	−0.799913	−	0.953299i
$975$	−1.21336	−	1.08302i	−0.0388586	−	0.0346844i
$976$	1.85181	+	5.08779i	0.0592748	+	0.162856i
$977$	28.5736	−	34.0527i	0.914151	−	1.08944i	−0.0815369	−	0.996670i	$-0.525983\pi$
$977$	28.5736	−	34.0527i	0.914151	−	1.08944i	0.995687	−	0.0927719i	$-0.0295727\pi$
$978$	−16.8443	−	0.515069i	−0.538622	−	0.0164701i
$979$	−31.9569	+	5.63486i	−1.02135	+	0.180091i
$980$	15.1813	+	2.41915i	0.484950	+	0.0772769i
$981$	−32.9589	−	14.3329i	−1.05230	−	0.457615i
$982$	−17.5961	−	30.4773i	−0.561514	−	0.972571i
$983$	−6.22418	−	35.2991i	−0.198520	−	1.12587i	−0.907315	−	0.420451i	$-0.861872\pi$
$983$	−6.22418	−	35.2991i	−0.198520	−	1.12587i	0.708795	−	0.705415i	$-0.249239\pi$
$984$	−1.99892	−	13.7888i	−0.0637233	−	0.439571i
$985$	−3.75131	−	10.3067i	−0.119527	−	0.328397i
$986$	−1.63503	−	1.37195i	−0.0520699	−	0.0436918i
$987$	7.76673	−	5.18399i	0.247218	−	0.165008i
$988$	34.7884	+	12.6620i	1.10677	+	0.402830i
$989$	−48.0362	+	27.7337i	−1.52746	+	0.881880i
$990$	12.5225	+	11.8846i	0.397991	+	0.377718i
$991$	10.5230	−	18.2264i	0.334275	−	0.578981i	−0.649071	−	0.760728i	$-0.724842\pi$
$991$	10.5230	−	18.2264i	0.334275	−	0.578981i	0.983345	+	0.181747i	$0.0581753\pi$
$992$	4.67855	+	1.70285i	0.148544	+	0.0540657i
$993$	−0.421098	+	13.7712i	−0.0133631	+	0.437016i
$994$	0.613410	+	2.21594i	0.0194562	+	0.0702852i
$995$	9.55395	+	1.68462i	0.302880	+	0.0534060i
$996$	−6.65523	−	1.38447i	−0.210879	−	0.0438685i
$997$	−15.2042	+	41.7731i	−0.481521	+	1.32297i	0.426668	+	0.904408i	$0.359687\pi$
$997$	−15.2042	+	41.7731i	−0.481521	+	1.32297i	−0.908189	+	0.418560i	$0.862535\pi$
$998$	−20.8581	+	12.0424i	−0.660251	+	0.381196i
$999$	4.74397	−	51.5851i	0.150093	−	1.63208i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	378.2.bf.a.5.6	yes	144
7.3	odd	6		378.2.ba.a.59.21	✓	144
27.11	odd	18		378.2.ba.a.173.21	yes	144
189.38	even	18	inner	378.2.bf.a.227.6	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
378.2.ba.a.59.21	✓	144	7.3	odd	6
378.2.ba.a.173.21	yes	144	27.11	odd	18
378.2.bf.a.5.6	yes	144	1.1	even	1	trivial
378.2.bf.a.227.6	yes	144	189.38	even	18	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.984808 + 0.173648i) q^{2} +(-0.542374 - 1.64494i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.381353 - 2.16276i) q^{5} +(0.819775 + 1.52577i) q^{6} +(-1.53538 - 2.15467i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.41166 + 1.78435i) q^{9} +O(q^{10})\)	\(q+(-0.984808 + 0.173648i) q^{2} +(-0.542374 - 1.64494i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.381353 - 2.16276i) q^{5} +(0.819775 + 1.52577i) q^{6} +(-1.53538 - 2.15467i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(-2.41166 + 1.78435i) q^{9} +2.19613i q^{10} +(-2.58061 + 0.455032i) q^{11} +(-1.07227 - 1.36024i) q^{12} +(3.40950 - 4.06328i) q^{13} +(1.88621 + 1.85532i) q^{14} +(-3.76445 + 0.545722i) q^{15} +(0.766044 - 0.642788i) q^{16} -0.277486 q^{17} +(2.06517 - 2.17602i) q^{18} +6.97953i q^{19} +(-0.381353 - 2.16276i) q^{20} +(-2.71156 + 3.69425i) q^{21} +(2.46239 - 0.896238i) q^{22} +(-4.12411 + 4.91492i) q^{23} +(1.29218 + 1.15337i) q^{24} +(0.166352 + 0.0605473i) q^{25} +(-2.65212 + 4.59360i) q^{26} +(4.24317 + 2.99926i) q^{27} +(-2.17973 - 1.49960i) q^{28} +(-4.94422 - 5.89229i) q^{29} +(3.61250 - 1.19112i) q^{30} +(-1.70285 - 4.67855i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(2.14816 + 3.99816i) q^{33} +(0.273270 - 0.0481850i) q^{34} +(-5.24556 + 2.49897i) q^{35} +(-1.65594 + 2.50157i) q^{36} +(-4.98473 - 8.63380i) q^{37} +(-1.21198 - 6.87350i) q^{38} +(-8.53307 - 3.40460i) q^{39} +(0.751119 + 2.06368i) q^{40} +(-6.16220 - 5.17070i) q^{41} +(2.02886 - 4.10898i) q^{42} +(8.12383 + 2.95683i) q^{43} +(-2.26935 + 1.31021i) q^{44} +(2.93942 + 5.89632i) q^{45} +(3.20799 - 5.55640i) q^{46} +(-1.91480 - 0.696931i) q^{47} +(-1.47283 - 0.911467i) q^{48} +(-2.28521 + 6.61648i) q^{49} +(-0.174339 - 0.0307407i) q^{50} +(0.150501 + 0.456448i) q^{51} +(1.81415 - 4.98435i) q^{52} +(3.60457 - 2.08110i) q^{53} +(-4.69952 - 2.21687i) q^{54} +5.75478i q^{55} +(2.40701 + 1.09831i) q^{56} +(11.4809 - 3.78552i) q^{57} +(5.89229 + 4.94422i) q^{58} +(0.616912 + 0.517651i) q^{59} +(-3.35078 + 1.80033i) q^{60} +(-1.85181 + 5.08779i) q^{61} +(2.48941 + 4.31178i) q^{62} +(7.54750 + 2.45668i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-7.48768 - 8.92347i) q^{65} +(-2.80980 - 3.56439i) q^{66} +(0.963742 - 5.46565i) q^{67} +(-0.260752 + 0.0949058i) q^{68} +(10.3216 + 4.11819i) q^{69} +(4.73193 - 3.37189i) q^{70} +(0.752613 + 0.434521i) q^{71} +(1.19639 - 2.75112i) q^{72} +(2.46331 + 1.42219i) q^{73} +(6.40824 + 7.63705i) q^{74} +(0.00937158 - 0.306479i) q^{75} +(2.38714 + 6.55862i) q^{76} +(4.94267 + 4.86172i) q^{77} +(8.99464 + 1.87113i) q^{78} +(-2.36751 - 13.4268i) q^{79} +(-1.09806 - 1.90190i) q^{80} +(2.63222 - 8.60648i) q^{81} +(6.96646 + 4.02209i) q^{82} +(3.00646 - 2.52272i) q^{83} +(-1.28452 + 4.39886i) q^{84} +(-0.105820 + 0.600137i) q^{85} +(-8.51386 - 1.50122i) q^{86} +(-7.01085 + 11.3288i) q^{87} +(2.00736 - 1.68438i) q^{88} +12.3834 q^{89} +(-3.91865 - 5.29631i) q^{90} +(-13.9899 - 1.10766i) q^{91} +(-2.19439 + 6.02904i) q^{92} +(-6.77236 + 5.33862i) q^{93} +(2.00673 + 0.353841i) q^{94} +(15.0951 + 2.66167i) q^{95} +(1.60873 + 0.641865i) q^{96} +(5.29222 - 14.5403i) q^{97} +(1.10155 - 6.91278i) q^{98} +(5.41163 - 5.70209i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q + 18 q^{6} - 12 q^{9}+O(q^{10}) \) 144 * q + 18 * q^6 - 12 * q^9	\( 144 q + 18 q^{6} - 12 q^{9} + 12 q^{11} + 6 q^{14} + 12 q^{15} + 6 q^{21} - 6 q^{23} - 6 q^{29} - 18 q^{30} - 54 q^{35} + 6 q^{36} - 6 q^{39} + 24 q^{42} - 54 q^{47} + 18 q^{49} + 12 q^{50} + 18 q^{51} + 90 q^{53} - 54 q^{54} - 12 q^{56} - 6 q^{57} - 90 q^{59} - 36 q^{60} - 24 q^{63} + 72 q^{64} - 84 q^{65} - 36 q^{69} - 18 q^{70} - 72 q^{71} + 12 q^{72} + 18 q^{74} - 90 q^{75} - 78 q^{77} - 60 q^{78} + 36 q^{79} - 6 q^{84} - 72 q^{85} + 24 q^{86} + 90 q^{87} - 18 q^{91} - 42 q^{92} - 12 q^{93} + 78 q^{95} - 36 q^{98} - 108 q^{99}+O(q^{100}) \) 144 * q + 18 * q^6 - 12 * q^9 + 12 * q^11 + 6 * q^14 + 12 * q^15 + 6 * q^21 - 6 * q^23 - 6 * q^29 - 18 * q^30 - 54 * q^35 + 6 * q^36 - 6 * q^39 + 24 * q^42 - 54 * q^47 + 18 * q^49 + 12 * q^50 + 18 * q^51 + 90 * q^53 - 54 * q^54 - 12 * q^56 - 6 * q^57 - 90 * q^59 - 36 * q^60 - 24 * q^63 + 72 * q^64 - 84 * q^65 - 36 * q^69 - 18 * q^70 - 72 * q^71 + 12 * q^72 + 18 * q^74 - 90 * q^75 - 78 * q^77 - 60 * q^78 + 36 * q^79 - 6 * q^84 - 72 * q^85 + 24 * q^86 + 90 * q^87 - 18 * q^91 - 42 * q^92 - 12 * q^93 + 78 * q^95 - 36 * q^98 - 108 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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