LMFDB - Embedded newform 525.2.bk.a.8.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(8,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 3, 0]))

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

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

chi := DirichletCharacter("525.8");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.bk (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$60$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			8.5
Character	$\chi$	$=$	525.8
Dual form			525.2.bk.a.197.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.13379 + 2.22520i) q^{2} +(-1.71426 + 0.247589i) q^{3} +(-2.49044 - 3.42779i) q^{4} +(1.16615 + 1.90790i) q^{5} +(1.39269 - 4.09529i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(5.51785 - 0.873941i) q^{8} +(2.87740 - 0.848865i) q^{9} +O(q^{10})$	\(q+(-1.13379 + 2.22520i) q^{2} +(-1.71426 + 0.247589i) q^{3} +(-2.49044 - 3.42779i) q^{4} +(1.16615 + 1.90790i) q^{5} +(1.39269 - 4.09529i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(5.51785 - 0.873941i) q^{8} +(2.87740 - 0.848865i) q^{9} +(-5.56763 + 0.431745i) q^{10} +(4.94952 - 1.60820i) q^{11} +(5.11795 + 5.25953i) q^{12} +(4.81671 - 2.45424i) q^{13} +(-0.771737 - 2.37516i) q^{14} +(-2.47147 - 2.98192i) q^{15} +(-1.69281 + 5.20994i) q^{16} +(-0.0944286 - 0.596198i) q^{17} +(-1.37349 + 7.36521i) q^{18} +(2.26683 - 3.12002i) q^{19} +(3.63567 - 8.74883i) q^{20} +(1.03710 - 1.38724i) q^{21} +(-2.03318 + 12.8370i) q^{22} +(2.75268 + 1.40256i) q^{23} +(-9.24267 + 2.86432i) q^{24} +(-2.28018 + 4.44980i) q^{25} +13.5007i q^{26} +(-4.72245 + 2.16759i) q^{27} +(4.18482 + 0.662810i) q^{28} +(2.01331 - 1.46276i) q^{29} +(9.43749 - 2.11861i) q^{30} +(-4.50800 - 3.27525i) q^{31} +(-1.77314 - 1.77314i) q^{32} +(-8.08661 + 3.98232i) q^{33} +(1.43372 + 0.465844i) q^{34} +(-2.17368 - 0.524498i) q^{35} +(-10.0757 - 7.74908i) q^{36} +(3.43379 + 6.73920i) q^{37} +(4.37254 + 8.58160i) q^{38} +(-7.64947 + 5.39977i) q^{39} +(8.10204 + 9.50837i) q^{40} +(2.18253 + 0.709148i) q^{41} +(1.91103 + 3.88058i) q^{42} +(-5.62415 - 5.62415i) q^{43} +(-17.8390 - 12.9608i) q^{44} +(4.97503 + 4.49989i) q^{45} +(-6.24194 + 4.53504i) q^{46} +(-0.952712 - 0.150895i) q^{47} +(1.61200 - 9.35032i) q^{48} -1.00000i q^{49} +(-7.31642 - 10.1190i) q^{50} +(0.309487 + 0.998662i) q^{51} +(-20.4083 - 10.3986i) q^{52} +(0.712618 - 4.49929i) q^{53} +(0.530976 - 12.9660i) q^{54} +(8.84017 + 7.56780i) q^{55} +(-3.28374 + 4.51968i) q^{56} +(-3.11346 + 5.90978i) q^{57} +(0.972239 + 6.13848i) q^{58} +(0.837050 - 2.57618i) q^{59} +(-4.06638 + 15.8979i) q^{60} +(-0.225468 - 0.693918i) q^{61} +(12.3992 - 6.31771i) q^{62} +(-1.43439 + 2.63487i) q^{63} +(-4.46390 + 1.45041i) q^{64} +(10.2995 + 6.32781i) q^{65} +(0.307112 - 22.5094i) q^{66} +(11.2445 - 1.78095i) q^{67} +(-1.80847 + 1.80847i) q^{68} +(-5.06608 - 1.72283i) q^{69} +(3.63162 - 4.24220i) q^{70} +(8.20939 + 11.2993i) q^{71} +(15.1352 - 7.19858i) q^{72} +(-0.973371 + 1.91035i) q^{73} -18.8892 q^{74} +(2.80712 - 8.19269i) q^{75} -16.3402 q^{76} +(-2.36267 + 4.63701i) q^{77} +(-3.34263 - 23.1438i) q^{78} +(-8.53033 - 11.7410i) q^{79} +(-11.9141 + 2.84585i) q^{80} +(7.55886 - 4.88505i) q^{81} +(-4.05254 + 4.05254i) q^{82} +(-3.36396 + 0.532798i) q^{83} +(-7.33798 - 0.100117i) q^{84} +(1.02737 - 0.875418i) q^{85} +(18.8915 - 6.13821i) q^{86} +(-3.08918 + 3.00602i) q^{87} +(25.9052 - 13.1994i) q^{88} +(3.18616 + 9.80599i) q^{89} +(-15.6538 + 5.96847i) q^{90} +(-1.67052 + 5.14134i) q^{91} +(-2.04769 - 12.9286i) q^{92} +(8.53881 + 4.49852i) q^{93} +(1.41595 - 1.94889i) q^{94} +(8.59616 + 0.686472i) q^{95} +(3.47864 + 2.60062i) q^{96} +(0.662995 - 4.18599i) q^{97} +(2.22520 + 1.13379i) q^{98} +(12.8766 - 8.82890i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 4 q^{3}+O(q^{10}) $ 480 * q + 4 * q^3	$ 480 q + 4 q^{3} + 16 q^{10} - 16 q^{12} + 8 q^{13} + 16 q^{15} + 120 q^{16} + 20 q^{18} - 40 q^{19} - 48 q^{22} - 104 q^{25} + 16 q^{27} - 20 q^{30} - 28 q^{33} - 80 q^{34} + 16 q^{37} - 40 q^{39} - 64 q^{40} - 80 q^{42} + 40 q^{43} - 20 q^{45} - 276 q^{48} - 260 q^{54} - 40 q^{55} - 4 q^{57} - 40 q^{58} - 52 q^{60} - 32 q^{63} + 160 q^{64} + 56 q^{67} + 8 q^{70} + 288 q^{72} + 48 q^{73} + 60 q^{75} + 140 q^{78} + 80 q^{79} - 40 q^{81} - 184 q^{85} + 96 q^{87} - 56 q^{88} + 24 q^{90} + 96 q^{93} - 560 q^{94} - 24 q^{97}+O(q^{100}) $ 480 * q + 4 * q^3 + 16 * q^10 - 16 * q^12 + 8 * q^13 + 16 * q^15 + 120 * q^16 + 20 * q^18 - 40 * q^19 - 48 * q^22 - 104 * q^25 + 16 * q^27 - 20 * q^30 - 28 * q^33 - 80 * q^34 + 16 * q^37 - 40 * q^39 - 64 * q^40 - 80 * q^42 + 40 * q^43 - 20 * q^45 - 276 * q^48 - 260 * q^54 - 40 * q^55 - 4 * q^57 - 40 * q^58 - 52 * q^60 - 32 * q^63 + 160 * q^64 + 56 * q^67 + 8 * q^70 + 288 * q^72 + 48 * q^73 + 60 * q^75 + 140 * q^78 + 80 * q^79 - 40 * q^81 - 184 * q^85 + 96 * q^87 - 56 * q^88 + 24 * q^90 + 96 * q^93 - 560 * q^94 - 24 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{3}{20}\right)$	$-1$	$1$

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 $

$2$	−1.13379	+	2.22520i	−0.801713	+	1.57345i	0.0174207	+	0.999848i	$0.494455\pi$
$2$	−1.13379	+	2.22520i	−0.801713	+	1.57345i	−0.819134	+	0.573602i	$0.805545\pi$
$3$	−1.71426	+	0.247589i	−0.989731	+	0.142945i
$3$	−1.71426	+	0.247589i	−0.989731	+	0.142945i
$4$	−2.49044	−	3.42779i	−1.24522	−	1.71390i
$5$	1.16615	+	1.90790i	0.521518	+	0.853240i
$5$	1.16615	+	1.90790i	0.521518	+	0.853240i
$6$	1.39269	−	4.09529i	0.568562	−	1.67189i
$7$	−0.707107	+	0.707107i	−0.267261	+	0.267261i
$7$	−0.707107	+	0.707107i	−0.267261	+	0.267261i
$8$	5.51785	−	0.873941i	1.95085	−	0.308985i
$9$	2.87740	−	0.848865i	0.959133	−	0.282955i
$10$	−5.56763	+	0.431745i	−1.76064	+	0.136530i
$11$	4.94952	−	1.60820i	1.49234	−	0.484889i	0.554564	−	0.832141i	$-0.312885\pi$
$11$	4.94952	−	1.60820i	1.49234	−	0.484889i	0.937772	+	0.347251i	$0.112885\pi$
$12$	5.11795	+	5.25953i	1.47742	+	1.51830i
$13$	4.81671	−	2.45424i	1.33592	−	0.680683i	0.367500	−	0.930024i	$-0.380214\pi$
$13$	4.81671	−	2.45424i	1.33592	−	0.680683i	0.968416	+	0.249341i	$0.0802138\pi$
$14$	−0.771737	−	2.37516i	−0.206256	−	0.634789i
$15$	−2.47147	−	2.98192i	−0.638130	−	0.769929i
$16$	−1.69281	+	5.20994i	−0.423203	+	1.30248i
$17$	−0.0944286	−	0.596198i	−0.0229023	−	0.144599i	0.973587	−	0.228314i	$-0.0733214\pi$
$17$	−0.0944286	−	0.596198i	−0.0229023	−	0.144599i	−0.996490	+	0.0837151i	$0.973321\pi$
$18$	−1.37349	+	7.36521i	−0.323734	+	1.73600i
$19$	2.26683	−	3.12002i	0.520046	−	0.715782i	−0.465527	−	0.885034i	$-0.654135\pi$
$19$	2.26683	−	3.12002i	0.520046	−	0.715782i	0.985573	+	0.169252i	$0.0541351\pi$
$20$	3.63567	−	8.74883i	0.812960	−	1.95630i
$21$	1.03710	−	1.38724i	0.226313	−	0.302720i
$22$	−2.03318	+	12.8370i	−0.433476	+	2.73686i
$23$	2.75268	+	1.40256i	0.573974	+	0.292454i	0.716783	−	0.697296i	$-0.245614\pi$
$23$	2.75268	+	1.40256i	0.573974	+	0.292454i	−0.142810	+	0.989750i	$0.545614\pi$
$24$	−9.24267	+	2.86432i	−1.88665	+	0.584677i
$25$	−2.28018	+	4.44980i	−0.456037	+	0.889961i
$26$			13.5007i			2.64771i
$27$	−4.72245	+	2.16759i	−0.908836	+	0.417153i
$28$	4.18482	+	0.662810i	0.790856	+	0.125259i
$29$	2.01331	−	1.46276i	0.373863	−	0.271627i	−0.384948	−	0.922938i	$-0.625781\pi$
$29$	2.01331	−	1.46276i	0.373863	−	0.271627i	0.758811	+	0.651311i	$0.225781\pi$
$30$	9.43749	−	2.11861i	1.72304	−	0.386803i
$31$	−4.50800	−	3.27525i	−0.809660	−	0.588252i	0.104072	−	0.994570i	$-0.466813\pi$
$31$	−4.50800	−	3.27525i	−0.809660	−	0.588252i	−0.913732	+	0.406317i	$0.866813\pi$
$32$	−1.77314	−	1.77314i	−0.313450	−	0.313450i
$33$	−8.08661	+	3.98232i	−1.40770	+	0.693233i
$34$	1.43372	+	0.465844i	0.245881	+	0.0798916i
$35$	−2.17368	−	0.524498i	−0.367420	−	0.0886563i
$36$	−10.0757	−	7.74908i	−1.67928	−	1.29151i
$37$	3.43379	+	6.73920i	0.564512	+	1.10792i	0.980126	+	0.198376i	$0.0635667\pi$
$37$	3.43379	+	6.73920i	0.564512	+	1.10792i	−0.415614	+	0.909541i	$0.636433\pi$
$38$	4.37254	+	8.58160i	0.709320	+	1.39212i
$39$	−7.64947	+	5.39977i	−1.22490	+	0.864656i
$40$	8.10204	+	9.50837i	1.28104	+	1.50340i
$41$	2.18253	+	0.709148i	0.340855	+	0.110750i	0.474442	−	0.880287i	$-0.342650\pi$
$41$	2.18253	+	0.709148i	0.340855	+	0.110750i	−0.133588	+	0.991037i	$0.542650\pi$
$42$	1.91103	+	3.88058i	0.294878	+	0.598787i
$43$	−5.62415	−	5.62415i	−0.857675	−	0.857675i	0.133389	−	0.991064i	$-0.457414\pi$
$43$	−5.62415	−	5.62415i	−0.857675	−	0.857675i	−0.991064	+	0.133389i	$0.957414\pi$
$44$	−17.8390	−	12.9608i	−2.68933	−	1.95391i
$45$	4.97503	+	4.49989i	0.741634	+	0.670805i
$46$	−6.24194	+	4.53504i	−0.920324	+	0.668655i
$47$	−0.952712	−	0.150895i	−0.138967	−	0.0220103i	0.0865632	−	0.996246i	$-0.472412\pi$
$47$	−0.952712	−	0.150895i	−0.138967	−	0.0220103i	−0.225531	+	0.974236i	$0.572412\pi$
$48$	1.61200	−	9.35032i	0.232673	−	1.34960i
$49$		−	1.00000i		−	0.142857i
$50$	−7.31642	−	10.1190i	−1.03470	−	1.43104i
$51$	0.309487	+	0.998662i	0.0433369	+	0.139841i
$52$	−20.4083	−	10.3986i	−2.83013	−	1.44202i
$53$	0.712618	−	4.49929i	0.0978856	−	0.618025i	−0.889161	−	0.457594i	$-0.848711\pi$
$53$	0.712618	−	4.49929i	0.0978856	−	0.618025i	0.987047	−	0.160431i	$-0.0512886\pi$
$54$	0.530976	−	12.9660i	0.0722567	−	1.76445i
$55$	8.84017	+	7.56780i	1.19201	+	1.02044i
$56$	−3.28374	+	4.51968i	−0.438808	+	0.603967i
$57$	−3.11346	+	5.90978i	−0.412388	+	0.782770i
$58$	0.972239	+	6.13848i	0.127661	+	0.806021i
$59$	0.837050	−	2.57618i	0.108975	−	0.335389i	−0.881668	−	0.471870i	$-0.843579\pi$
$59$	0.837050	−	2.57618i	0.108975	−	0.335389i	0.990643	+	0.136481i	$0.0435791\pi$
$60$	−4.06638	+	15.8979i	−0.524967	+	2.05242i
$61$	−0.225468	−	0.693918i	−0.0288682	−	0.0888471i	0.935584	−	0.353103i	$-0.114874\pi$
$61$	−0.225468	−	0.693918i	−0.0288682	−	0.0888471i	−0.964453	+	0.264256i	$0.914874\pi$
$62$	12.3992	−	6.31771i	1.57470	−	0.802350i
$63$	−1.43439	+	2.63487i	−0.180716	+	0.331962i
$64$	−4.46390	+	1.45041i	−0.557988	+	0.181301i
$65$	10.2995	+	6.32781i	1.27749	+	0.784868i
$66$	0.307112	−	22.5094i	0.0378029	−	2.77072i
$67$	11.2445	−	1.78095i	1.37373	−	0.217578i	0.574454	−	0.818537i	$-0.305214\pi$
$67$	11.2445	−	1.78095i	1.37373	−	0.217578i	0.799280	+	0.600958i	$0.205214\pi$
$68$	−1.80847	+	1.80847i	−0.219310	+	0.219310i
$69$	−5.06608	−	1.72283i	−0.609884	−	0.207404i
$70$	3.63162	−	4.24220i	0.434061	−	0.507040i
$71$	8.20939	+	11.2993i	0.974276	+	1.34098i	0.939857	+	0.341568i	$0.110958\pi$
$71$	8.20939	+	11.2993i	0.974276	+	1.34098i	0.0344188	+	0.999407i	$0.489042\pi$
$72$	15.1352	−	7.19858i	1.78370	−	0.848361i
$73$	−0.973371	+	1.91035i	−0.113925	+	0.223589i	−0.940928	−	0.338608i	$-0.890044\pi$
$73$	−0.973371	+	1.91035i	−0.113925	+	0.223589i	0.827003	+	0.562198i	$0.190044\pi$
$74$	−18.8892			−2.19583
$75$	2.80712	−	8.19269i	0.324138	−	0.946010i
$76$	−16.3402			−1.87435
$77$	−2.36267	+	4.63701i	−0.269251	+	0.528436i
$78$	−3.34263	−	23.1438i	−0.378478	−	2.62052i
$79$	−8.53033	−	11.7410i	−0.959738	−	1.32097i	−0.947064	−	0.321046i	$-0.895966\pi$
$79$	−8.53033	−	11.7410i	−0.959738	−	1.32097i	−0.0126739	−	0.999920i	$-0.504034\pi$
$80$	−11.9141	+	2.84585i	−1.33204	+	0.318176i
$81$	7.55886	−	4.88505i	0.839873	−	0.542783i
$82$	−4.05254	+	4.05254i	−0.447528	+	0.447528i
$83$	−3.36396	+	0.532798i	−0.369242	+	0.0584822i	−0.338298	−	0.941039i	$-0.609851\pi$
$83$	−3.36396	+	0.532798i	−0.369242	+	0.0584822i	−0.0309438	+	0.999521i	$0.509851\pi$
$84$	−7.33798	−	0.100117i	−0.800640	−	0.0109237i
$85$	1.02737	−	0.875418i	0.111434	−	0.0949524i
$86$	18.8915	−	6.13821i	2.03712	−	0.661900i
$87$	−3.08918	+	3.00602i	−0.331195	+	0.322280i
$88$	25.9052	−	13.1994i	2.76151	−	1.40706i
$89$	3.18616	+	9.80599i	0.337732	+	1.03943i	0.965361	+	0.260919i	$0.0840257\pi$
$89$	3.18616	+	9.80599i	0.337732	+	1.03943i	−0.627629	+	0.778513i	$0.715974\pi$
$90$	−15.6538	+	5.96847i	−1.65006	+	0.629132i
$91$	−1.67052	+	5.14134i	−0.175118	+	0.538959i
$92$	−2.04769	−	12.9286i	−0.213486	−	1.34790i
$93$	8.53881	+	4.49852i	0.885433	+	0.466474i
$94$	1.41595	−	1.94889i	0.146044	−	0.201012i
$95$	8.59616	+	0.686472i	0.881947	+	0.0704305i
$96$	3.47864	+	2.60062i	0.355038	+	0.265425i
$97$	0.662995	−	4.18599i	0.0673169	−	0.425022i	−0.930897	−	0.365282i	$-0.880973\pi$
$97$	0.662995	−	4.18599i	0.0673169	−	0.425022i	0.998214	−	0.0597406i	$-0.0190274\pi$
$98$	2.22520	+	1.13379i	0.224779	+	0.114530i
$99$	12.8766	−	8.82890i	1.29415	−	0.887337i
$100$	20.9316	−	3.26596i	2.09316	−	0.326596i
$101$			13.5819i			1.35145i	0.737152	+	0.675727i	$0.236170\pi$
$101$			13.5819i			1.35145i	−0.737152	+	0.675727i	$0.763830\pi$
$102$	−2.57311	−	0.443606i	−0.254776	−	0.0439236i
$103$	−16.0138	−	2.53633i	−1.57789	−	0.249912i	−0.694827	−	0.719177i	$-0.744519\pi$
$103$	−16.0138	−	2.53633i	−1.57789	−	0.249912i	−0.883058	+	0.469264i	$0.844519\pi$
$104$	24.4330	−	17.7516i	2.39585	−	1.74069i
$105$	3.85613	+	0.360948i	0.376319	+	0.0352249i
$106$	9.20384	+	6.68698i	0.893956	+	0.649497i
$107$	−8.83958	−	8.83958i	−0.854555	−	0.854555i	0.136136	−	0.990690i	$-0.456532\pi$
$107$	−8.83958	−	8.83958i	−0.854555	−	0.854555i	−0.990690	+	0.136136i	$0.956532\pi$
$108$	19.1910	+	10.7893i	1.84666	+	1.03820i
$109$	13.8393	+	4.49666i	1.32556	+	0.430702i	0.884402	−	0.466725i	$-0.154566\pi$
$109$	13.8393	+	4.49666i	1.32556	+	0.430702i	0.441162	+	0.897427i	$0.354566\pi$
$110$	−26.8628	+	11.0908i	−2.56126	+	1.05746i
$111$	−7.55497	−	10.7026i	−0.717086	−	1.01585i
$112$	−2.48698	−	4.88098i	−0.234998	−	0.461209i
$113$	6.68479	+	13.1196i	0.628852	+	1.23419i	0.957143	+	0.289616i	$0.0935275\pi$
$113$	6.68479	+	13.1196i	0.628852	+	1.23419i	−0.328291	+	0.944577i	$0.606473\pi$
$114$	−9.62039	−	13.6285i	−0.901033	−	1.27643i
$115$	0.534091	+	6.88744i	0.0498043	+	0.642257i
$116$	−10.0280	−	3.25831i	−0.931081	−	0.302526i
$117$	11.7763	−	11.1506i	1.08872	−	1.03087i
$118$	4.78345	+	4.78345i	0.440352	+	0.440352i
$119$	0.488347	+	0.354805i	0.0447667	+	0.0325249i
$120$	−16.2432	−	14.2939i	−1.48279	−	1.30485i
$121$	13.0123	−	9.45396i	1.18293	−	0.859451i
$122$	1.79974	+	0.285050i	0.162941	+	0.0258073i
$123$	−3.91702	−	0.675296i	−0.353185	−	0.0608894i
$124$			23.6093i			2.12017i
$125$	−11.1488	+	0.838773i	−0.997182	+	0.0750221i
$126$	−4.23679	−	6.17919i	−0.377443	−	0.550486i
$127$	16.8972	+	8.60953i	1.49938	+	0.763973i	0.995035	−	0.0995290i	$-0.0317336\pi$
$127$	16.8972	+	8.60953i	1.49938	+	0.763973i	0.504346	+	0.863502i	$0.331734\pi$
$128$	2.61825	−	16.5310i	0.231423	−	1.46115i
$129$	11.0338	+	8.24880i	0.971468	+	0.726266i
$130$	−25.7581	+	15.7439i	−2.25913	+	1.38083i
$131$	−11.1855	+	15.3956i	−0.977284	+	1.34512i	−0.0390039	+	0.999239i	$0.512418\pi$
$131$	−11.1855	+	15.3956i	−0.977284	+	1.34512i	−0.938280	+	0.345877i	$0.887582\pi$
$132$	33.7897	+	17.8015i	2.94102	+	1.54942i
$133$	0.603299	+	3.80908i	0.0523126	+	0.330289i
$134$	−8.78597	+	27.0404i	−0.758993	+	2.33594i
$135$	−9.64264	−	6.48224i	−0.829906	−	0.557903i
$136$	−1.04208	−	3.20721i	−0.0893580	−	0.275016i
$137$	−4.87216	+	2.48249i	−0.416257	+	0.212093i	−0.649560	−	0.760311i	$-0.725047\pi$
$137$	−4.87216	+	2.48249i	−0.416257	+	0.212093i	0.233303	+	0.972404i	$0.425047\pi$
$138$	9.57751	−	9.31968i	0.815292	−	0.793344i
$139$	0.240202	−	0.0780465i	0.0203737	−	0.00661982i	−0.298812	−	0.954312i	$-0.596590\pi$
$139$	0.240202	−	0.0780465i	0.0203737	−	0.00661982i	0.319186	+	0.947692i	$0.396590\pi$
$140$	3.61555	+	8.75716i	0.305570	+	0.740115i
$141$	1.67056	+	0.0227927i	0.140687	+	0.00191949i
$142$	−34.4508	+	5.45647i	−2.89105	+	0.457897i
$143$	19.8935	−	19.8935i	1.66358	−	1.66358i
$144$	−0.448363	+	16.4280i	−0.0373636	+	1.36900i
$145$	5.13862	+	2.13541i	0.426739	+	0.177336i
$146$	−3.14730	−	4.33188i	−0.260472	−	0.358509i
$147$	0.247589	+	1.71426i	0.0204208	+	0.141390i
$148$	14.5489	−	28.5539i	1.19591	−	2.34711i
$149$	18.6434			1.52733			0.763664	−	0.645614i	$-0.223399\pi$
$149$	18.6434			1.52733			0.763664	+	0.645614i	$0.223399\pi$
$150$	15.0476	+	15.5352i	1.22863	+	1.26844i
$151$	2.65772			0.216282			0.108141	−	0.994136i	$-0.465510\pi$
$151$	2.65772			0.216282			0.108141	+	0.994136i	$0.465510\pi$
$152$	9.78130	−	19.1969i	0.793368	−	1.55707i
$153$	−0.777800	−	1.63534i	−0.0628814	−	0.132210i
$154$	−7.63946	−	10.5148i	−0.615605	−	0.847308i
$155$	0.991856	−	12.4203i	0.0796678	−	0.997619i
$156$	37.5598	+	12.7730i	3.00719	+	1.02266i
$157$	5.66018	−	5.66018i	0.451731	−	0.451731i	−0.444198	−	0.895929i	$-0.646511\pi$
$157$	5.66018	−	5.66018i	0.451731	−	0.451731i	0.895929	+	0.444198i	$0.146511\pi$
$158$	35.7977	−	5.66979i	2.84791	−	0.451064i
$159$	−0.107641	+	7.88941i	−0.00853648	+	0.625671i
$160$	1.31523	−	5.45074i	0.103978	−	0.430919i
$161$	−2.93820	+	0.954679i	−0.231563	+	0.0752392i
$162$	2.30000	+	22.3586i	0.180705	+	1.75665i
$163$	−5.76421	+	2.93701i	−0.451487	+	0.230044i	−0.664922	−	0.746913i	$-0.731535\pi$
$163$	−5.76421	+	2.93701i	−0.451487	+	0.230044i	0.213434	+	0.976957i	$0.431535\pi$
$164$	−3.00465	−	9.24736i	−0.234624	−	0.722097i
$165$	−17.0281	−	10.7845i	−1.32563	−	0.839571i
$166$	2.62845	−	8.08954i	0.204007	−	0.627870i
$167$	−1.00330	−	6.33462i	−0.0776381	−	0.490187i	−0.995614	−	0.0935522i	$-0.970178\pi$
$167$	−1.00330	−	6.33462i	−0.0776381	−	0.490187i	0.917976	−	0.396635i	$-0.129822\pi$
$168$	4.51017	−	8.56093i	0.347967	−	0.660490i
$169$	9.53623	−	13.1255i	0.733556	−	1.00965i
$170$	0.783149	+	3.27864i	0.0600648	+	0.251460i
$171$	3.87409	−	10.9018i	0.296259	−	0.833680i
$172$	−5.27182	+	33.2850i	−0.401973	+	2.53796i
$173$	−20.5076	−	10.4492i	−1.55917	−	0.794434i	−0.559751	−	0.828661i	$-0.689103\pi$
$173$	−20.5076	−	10.4492i	−1.55917	−	0.794434i	−0.999414	+	0.0342265i	$0.989103\pi$
$174$	−3.18649	−	10.2822i	−0.241567	−	0.779495i
$175$	−1.53415	−	4.75882i	−0.115971	−	0.359733i
$176$			28.5091i			2.14895i
$177$	−0.797093	+	4.62349i	−0.0599132	+	0.347523i
$178$	−25.4327	−	4.02814i	−1.90626	−	0.301922i
$179$	−7.59106	+	5.51523i	−0.567383	+	0.412228i	−0.834153	−	0.551532i	$-0.814043\pi$
$179$	−7.59106	+	5.51523i	−0.567383	+	0.412228i	0.266771	+	0.963760i	$0.414043\pi$
$180$	3.03469	−	28.2601i	0.226193	−	2.10638i
$181$	−16.2650	−	11.8172i	−1.20896	−	0.878364i	−0.213828	−	0.976871i	$-0.568593\pi$
$181$	−16.2650	−	11.8172i	−1.20896	−	0.878364i	−0.995136	+	0.0985074i	$0.968593\pi$
$182$	−9.54645	−	9.54645i	−0.707630	−	0.707630i
$183$	0.558318	+	1.13374i	0.0412720	+	0.0838082i
$184$	16.4146	+	5.33343i	1.21010	+	0.393186i
$185$	−8.85341	+	14.4103i	−0.650916	+	1.05946i
$186$	−19.6913	+	13.9001i	−1.44384	+	1.01921i
$187$	−1.42618	−	2.79904i	−0.104293	−	0.204686i
$188$	1.85543	+	3.64149i	0.135321	+	0.265583i
$189$	1.80656	−	4.87200i	0.131408	−	0.354386i
$190$	−11.2738	+	18.3498i	−0.817888	+	1.33124i
$191$	−16.6041	−	5.39501i	−1.20143	−	0.390369i	−0.361145	−	0.932510i	$-0.617614\pi$
$191$	−16.6041	−	5.39501i	−1.20143	−	0.390369i	−0.840288	+	0.542141i	$0.817614\pi$
$192$	7.29320	−	3.59160i	0.526342	−	0.259201i
$193$	−9.24804	−	9.24804i	−0.665689	−	0.665689i	0.291026	−	0.956715i	$-0.406003\pi$
$193$	−9.24804	−	9.24804i	−0.665689	−	0.665689i	−0.956715	+	0.291026i	$0.906003\pi$
$194$	8.56294	+	6.22134i	0.614783	+	0.446666i
$195$	−19.2227	−	8.29750i	−1.37656	−	0.594196i
$196$	−3.42779	+	2.49044i	−0.244842	+	0.177888i
$197$	8.64741	+	1.36962i	0.616103	+	0.0975811i	0.456682	−	0.889630i	$-0.349038\pi$
$197$	8.64741	+	1.36962i	0.616103	+	0.0975811i	0.159420	+	0.987211i	$0.449038\pi$
$198$	5.04660	+	38.6631i	0.358647	+	2.74767i
$199$			17.9918i			1.27541i	0.770282	+	0.637703i	$0.220115\pi$
$199$			17.9918i			1.27541i	−0.770282	+	0.637703i	$0.779885\pi$
$200$	−8.69284	+	26.5461i	−0.614677	+	1.87709i
$201$	−18.8351	+	5.83704i	−1.32853	+	0.411713i
$202$	−30.2225	−	15.3991i	−2.12645	−	1.08348i
$203$	−0.389301	+	2.45795i	−0.0273236	+	0.172514i
$204$	2.65244	−	3.54796i	0.185708	−	0.248407i
$205$	1.19218	+	4.99104i	0.0832653	+	0.348589i
$206$	23.8002	−	32.7581i	1.65824	−	2.28237i
$207$	9.11115	+	1.69907i	0.633268	+	0.118094i
$208$	4.63264	+	29.2493i	0.321216	+	2.02808i
$209$	6.20210	−	19.0881i	0.429008	−	1.32035i
$210$	−5.17523	+	8.17140i	−0.357125	+	0.563880i
$211$	−0.571692	−	1.75949i	−0.0393569	−	0.121128i	0.929448	−	0.368954i	$-0.120284\pi$
$211$	−0.571692	−	1.75949i	−0.0393569	−	0.121128i	−0.968805	+	0.247826i	$0.920284\pi$
$212$	−17.1974	+	8.76249i	−1.18112	+	0.601810i
$213$	−16.8706	−	17.3374i	−1.15596	−	1.18794i
$214$	29.6921	−	9.64753i	2.02971	−	0.659492i
$215$	4.17172	−	17.2889i	0.284509	−	1.17910i
$216$	−24.1634	+	16.0876i	−1.64411	+	1.09462i
$217$	5.50359	−	0.871683i	0.373608	−	0.0591737i
$218$	−25.6969	+	25.6969i	−1.74041	+	1.74041i
$219$	1.19563	−	3.51584i	0.0807935	−	0.237578i
$220$	3.92497	−	49.1494i	0.264621	−	3.31365i
$221$	−1.91805	−	2.63997i	−0.129022	−	0.177583i
$222$	32.3811	−	4.67676i	2.17328	−	0.313884i
$223$	12.4602	−	24.4545i	0.834396	−	1.63759i	0.0658236	−	0.997831i	$-0.479033\pi$
$223$	12.4602	−	24.4545i	0.834396	−	1.63759i	0.768572	−	0.639763i	$-0.220967\pi$
$224$	2.50760			0.167546
$225$	−2.78372	+	14.7394i	−0.185581	+	0.982629i
$226$	−36.7729			−2.44610
$227$	−3.31174	+	6.49966i	−0.219808	+	0.431398i	−0.974408	−	0.224788i	$-0.927831\pi$
$227$	−3.31174	+	6.49966i	−0.219808	+	0.431398i	0.754600	+	0.656185i	$0.227831\pi$
$228$	28.0114	−	4.04564i	1.85510	−	0.267929i
$229$	4.81540	+	6.62784i	0.318211	+	0.437980i	0.937920	−	0.346852i	$-0.112749\pi$
$229$	4.81540	+	6.62784i	0.318211	+	0.437980i	−0.619709	+	0.784832i	$0.712749\pi$
$230$	−15.9315	−	6.62048i	−1.05049	−	0.436542i
$231$	2.90217	−	8.53402i	0.190949	−	0.561497i
$232$	9.83078	−	9.83078i	0.645422	−	0.645422i
$233$	−27.6691	+	4.38236i	−1.81266	+	0.287098i	−0.968505	−	0.248994i	$-0.919900\pi$
$233$	−27.6691	+	4.38236i	−1.81266	+	0.287098i	−0.844160	+	0.536092i	$0.819900\pi$
$234$	11.4603	+	38.8470i	0.749182	+	2.53951i
$235$	−0.823114	−	1.99365i	−0.0536940	−	0.130051i
$236$	−10.9152	+	3.54657i	−0.710520	+	0.230862i
$237$	17.5302	+	18.0152i	1.13871	+	1.17021i
$238$	−1.34319	+	0.684392i	−0.0870664	+	0.0443625i
$239$	−2.41907	−	7.44513i	−0.156477	−	0.481585i	0.841831	−	0.539741i	$-0.181478\pi$
$239$	−2.41907	−	7.44513i	−0.156477	−	0.481585i	−0.998308	+	0.0581559i	$0.981478\pi$
$240$	19.7193	−	7.82834i	1.27288	−	0.505317i
$241$	−0.173942	+	0.535337i	−0.0112046	+	0.0344841i	−0.956502	−	0.291724i	$-0.905771\pi$
$241$	−0.173942	+	0.535337i	−0.0112046	+	0.0344841i	0.945298	+	0.326208i	$0.105771\pi$
$242$	6.28369	+	39.6737i	0.403931	+	2.55032i
$243$	−11.7484	+	10.2457i	−0.753660	+	0.657265i
$244$	−1.81709	+	2.50102i	−0.116328	+	0.160111i
$245$	1.90790	−	1.16615i	0.121891	−	0.0745026i
$246$	5.94375	−	7.95048i	0.378960	−	0.506904i
$247$	3.26139	−	20.5916i	0.207517	−	1.31021i
$248$	−27.7368	−	14.1326i	−1.76129	−	0.897422i
$249$	5.63479	−	1.74623i	0.357090	−	0.110663i
$250$	10.7740	−	25.7593i	0.681410	−	1.62916i
$251$		−	0.743701i		−	0.0469420i	−0.999725	−	0.0234710i	$-0.992528\pi$
$251$		−	0.743701i		−	0.0469420i	0.999725	−	0.0234710i	$-0.00747174\pi$
$252$	12.6040	−	1.64517i	0.793979	−	0.103636i
$253$	15.8800	+	2.51515i	0.998370	+	0.158126i
$254$	−38.3158	+	27.8381i	−2.40415	+	1.74671i
$255$	−1.54444	+	1.75506i	−0.0967166	+	0.109906i
$256$	26.2217	+	19.0512i	1.63885	+	1.19070i
$257$	−9.06218	−	9.06218i	−0.565283	−	0.565283i	0.365520	−	0.930803i	$-0.380891\pi$
$257$	−9.06218	−	9.06218i	−0.565283	−	0.565283i	−0.930803	+	0.365520i	$0.880891\pi$
$258$	−30.8652	+	15.1998i	−1.92158	+	0.946299i
$259$	−7.19339	−	2.33727i	−0.446976	−	0.145231i
$260$	−3.95974	−	51.0634i	−0.245573	−	3.16682i
$261$	4.55142	−	5.91796i	0.281726	−	0.366313i
$262$	−21.5760	−	42.3454i	−1.33297	−	2.61610i
$263$	2.66639	+	5.23308i	0.164416	+	0.322685i	0.958485	−	0.285143i	$-0.0920410\pi$
$263$	2.66639	+	5.23308i	0.164416	+	0.322685i	−0.794069	+	0.607828i	$0.792041\pi$
$264$	−41.1404	+	29.0410i	−2.53201	+	1.78735i
$265$	9.41523	−	3.88725i	0.578373	−	0.238792i
$266$	−9.15996	−	2.97625i	−0.561633	−	0.182486i
$267$	−7.88977	−	16.0212i	−0.482846	−	0.980481i
$268$	−34.1084	−	34.1084i	−2.08350	−	2.08350i
$269$	6.70010	+	4.86791i	0.408512	+	0.296802i	0.772999	−	0.634407i	$-0.218756\pi$
$269$	6.70010	+	4.86791i	0.408512	+	0.296802i	−0.364487	+	0.931208i	$0.618756\pi$
$270$	25.3570	−	14.1072i	1.54318	−	0.858539i
$271$	−14.5301	+	10.5568i	−0.882643	+	0.641278i	−0.933949	−	0.357405i	$-0.883661\pi$
$271$	−14.5301	+	10.5568i	−0.882643	+	0.641278i	0.0513065	+	0.998683i	$0.483661\pi$
$272$	3.26601	+	0.517284i	0.198031	+	0.0313650i
$273$	1.59078	−	9.22721i	0.0962783	−	0.558456i
$274$		−	13.6561i		−	0.824997i
$275$	−4.12966	+	25.6914i	−0.249028	+	1.54925i
$276$	6.71125	+	21.6560i	0.403970	+	1.30354i
$277$	7.10014	+	3.61770i	0.426606	+	0.217367i	0.654092	−	0.756415i	$-0.273051\pi$
$277$	7.10014	+	3.61770i	0.426606	+	0.217367i	−0.227487	+	0.973781i	$0.573051\pi$
$278$	−0.0986713	+	0.622986i	−0.00591791	+	0.0373642i
$279$	−15.7516	−	5.59753i	−0.943021	−	0.335115i
$280$	−12.4524	−	0.994426i	−0.744175	−	0.0594283i
$281$	7.69497	−	10.5912i	0.459043	−	0.631819i	−0.515267	−	0.857030i	$-0.672307\pi$
$281$	7.69497	−	10.5912i	0.459043	−	0.631819i	0.974310	+	0.225211i	$0.0723072\pi$
$282$	−1.94479	+	3.69148i	−0.115810	+	0.219824i
$283$	3.55470	+	22.4435i	0.211305	+	1.33413i	0.834045	+	0.551697i	$0.186019\pi$
$283$	3.55470	+	22.4435i	0.211305	+	1.33413i	−0.622740	+	0.782429i	$0.713981\pi$
$284$	18.2865	−	56.2802i	1.08511	−	3.33961i
$285$	−14.9060	+	0.951518i	−0.882958	+	0.0563631i
$286$	21.7118	+	66.8221i	1.28385	+	3.95127i
$287$	−2.04473	+	1.04184i	−0.120696	+	0.0614979i
$288$	−6.60720	−	3.59688i	−0.389333	−	0.211948i
$289$	15.8214	−	5.14069i	0.930672	−	0.302394i
$290$	−10.5778	+	9.01332i	−0.621152	+	0.529281i
$291$	−0.100145	+	7.34003i	−0.00587063	+	0.430280i
$292$	8.97239	−	1.42109i	0.525070	−	0.0831629i
$293$	−8.14442	+	8.14442i	−0.475802	+	0.475802i	−0.903786	−	0.427984i	$-0.859224\pi$
$293$	−8.14442	+	8.14442i	−0.475802	+	0.475802i	0.427984	+	0.903786i	$0.359224\pi$
$294$	−4.09529	−	1.39269i	−0.238842	−	0.0812232i
$295$	5.89122	−	1.40720i	0.343000	−	0.0819303i
$296$	24.8368	+	34.1849i	1.44361	+	1.98696i
$297$	−19.8880	+	18.3232i	−1.15402	+	1.06322i
$298$	−21.1378	+	41.4852i	−1.22448	+	2.40317i
$299$	16.7011			0.965849
$300$	−35.0737	+	10.7811i	−2.02498	+	0.622450i
$301$	7.95375			0.458446
$302$	−3.01330	+	5.91394i	−0.173396	+	0.340309i
$303$	−3.36273	−	23.2830i	−0.193184	−	1.33757i
$304$	12.4178	+	17.0916i	0.712210	+	0.980273i
$305$	1.06100	−	1.23938i	0.0607526	−	0.0709669i
$306$	4.52083	+	0.123385i	0.258438	+	0.00705344i
$307$	9.64587	−	9.64587i	0.550519	−	0.550519i	−0.376072	−	0.926591i	$-0.622725\pi$
$307$	9.64587	−	9.64587i	0.550519	−	0.550519i	0.926591	+	0.376072i	$0.122725\pi$
$308$	21.7788	−	3.44942i	1.24096	−	0.196549i
$309$	28.0798	+	0.383113i	1.59740	+	0.0217946i
$310$	26.5129	+	16.2891i	1.50583	+	0.925158i
$311$	25.9049	−	8.41702i	1.46893	−	0.477285i	0.538148	−	0.842851i	$-0.319124\pi$
$311$	25.9049	−	8.41702i	1.46893	−	0.477285i	0.930786	+	0.365565i	$0.119124\pi$
$312$	−37.4895	+	36.4803i	−2.12243	+	2.06529i
$313$	−14.8836	+	7.58357i	−0.841271	+	0.428649i	−0.820851	−	0.571142i	$-0.806500\pi$
$313$	−14.8836	+	7.58357i	−0.841271	+	0.428649i	−0.0204201	+	0.999791i	$0.506500\pi$
$314$	6.17753	+	19.0125i	0.348618	+	1.07294i
$315$	−6.69979	+	0.335974i	−0.377490	+	0.0189300i
$316$	−19.0014	+	58.4804i	−1.06891	+	3.28978i
$317$	4.42245	+	27.9222i	0.248389	+	1.56827i	0.724746	+	0.689016i	$0.241957\pi$
$317$	4.42245	+	27.9222i	0.248389	+	1.56827i	−0.476357	+	0.879252i	$0.658043\pi$
$318$	−17.4334	−	9.18448i	−0.977618	−	0.515040i
$319$	7.61252	−	10.4777i	0.426220	−	0.586641i
$320$	−7.97283	−	6.82530i	−0.445695	−	0.381546i
$321$	17.3420	+	12.9648i	0.967933	+	0.723624i
$322$	1.20696	−	7.62048i	0.0672615	−	0.424673i
$323$	−2.07421	−	1.05686i	−0.115412	−	0.0588053i
$324$	−35.5698	−	13.7443i	−1.97610	−	0.763572i
$325$	−0.0621167	+	27.0295i	−0.00344561	+	1.49933i
$326$		−	16.1564i		−	0.894823i
$327$	−24.8375	−	4.28201i	−1.37352	−	0.236796i
$328$	12.6626	+	2.00557i	0.699177	+	0.110739i
$329$	0.780368	−	0.566971i	0.0430231	−	0.0312581i
$330$	43.3039	−	25.6634i	2.38380	−	1.41273i
$331$	0.0698430	+	0.0507439i	0.00383892	+	0.00278914i	0.589703	−	0.807620i	$-0.299245\pi$
$331$	0.0698430	+	0.0507439i	0.00383892	+	0.00278914i	−0.585864	+	0.810409i	$0.699245\pi$
$332$	10.2040	+	10.2040i	0.560019	+	0.560019i
$333$	15.6011	+	16.4765i	0.854933	+	0.902909i
$334$	15.2333	+	4.94960i	0.833529	+	0.270830i
$335$	16.5107	+	19.3766i	0.902074	+	1.05865i
$336$	5.47182	+	7.75154i	0.298512	+	0.422881i
$337$	−0.628581	−	1.23366i	−0.0342410	−	0.0672017i	0.873252	−	0.487268i	$-0.162007\pi$
$337$	−0.628581	−	1.23366i	−0.0342410	−	0.0672017i	−0.907493	+	0.420067i	$0.862007\pi$
$338$	18.3947	+	36.1016i	1.00054	+	1.96367i
$339$	−14.7078	−	20.8355i	−0.798817	−	1.13163i
$340$	−5.55935	−	1.34144i	−0.301498	−	0.0727498i
$341$	−27.5797	−	8.96118i	−1.49352	−	0.485275i
$342$	19.8662	+	20.9810i	1.07424	+	1.13452i
$343$	0.707107	+	0.707107i	0.0381802	+	0.0381802i
$344$	−35.9484	−	26.1180i	−1.93821	−	1.40819i
$345$	−2.62083	−	11.6747i	−0.141101	−	0.628543i
$346$	46.5028	−	33.7863i	2.50001	−	1.81636i
$347$	−1.96867	−	0.311807i	−0.105684	−	0.0167387i	0.103368	−	0.994643i	$-0.467038\pi$
$347$	−1.96867	−	0.311807i	−0.105684	−	0.0167387i	−0.209052	+	0.977904i	$0.567038\pi$
$348$	17.9974	+	3.10277i	0.964764	+	0.166326i
$349$			1.47234i			0.0788123i	0.999223	+	0.0394062i	$0.0125466\pi$
$349$			1.47234i			0.0788123i	−0.999223	+	0.0394062i	$0.987453\pi$
$350$	12.3287	+	1.98173i	0.658998	+	0.105928i
$351$	−17.4269	+	22.0307i	−0.930180	+	1.17591i
$352$	−11.6278	−	5.92464i	−0.619762	−	0.315785i
$353$	−2.09038	+	13.1982i	−0.111260	+	0.702468i	0.867497	+	0.497443i	$0.165728\pi$
$353$	−2.09038	+	13.1982i	−0.111260	+	0.702468i	−0.978757	+	0.205025i	$0.934272\pi$
$354$	−9.38443	−	7.01577i	−0.498777	−	0.372884i
$355$	−11.9845	+	28.8394i	−0.636071	+	1.53063i
$356$	25.6779	−	35.3427i	1.36093	−	1.87316i
$357$	−0.925001	−	0.487320i	−0.0489563	−	0.0257917i
$358$	−3.66576	−	23.1447i	−0.193742	−	1.22324i
$359$	3.67483	−	11.3100i	0.193950	−	0.596917i	−0.806037	−	0.591865i	$-0.798392\pi$
$359$	3.67483	−	11.3100i	0.193950	−	0.596917i	0.999987	−	0.00505196i	$-0.00160810\pi$
$360$	31.3841	+	20.4818i	1.65409	+	1.07949i
$361$	1.27530	+	3.92497i	0.0671210	+	0.206577i
$362$	44.7366	−	22.7944i	2.35130	−	1.19805i
$363$	−19.9657	+	19.4283i	−1.04793	+	1.01972i
$364$	21.7838	−	7.07797i	1.14178	−	0.370987i
$365$	−4.77986	+	0.370657i	−0.250189	+	0.0194011i
$366$	−3.15580	−	0.0430569i	−0.164956	−	0.00225062i
$367$	−26.0721	+	4.12942i	−1.36095	+	0.215554i	−0.793861	−	0.608100i	$-0.791932\pi$
$367$	−26.0721	+	4.12942i	−1.36095	+	0.215554i	−0.567093	+	0.823654i	$0.691932\pi$
$368$	−11.9670	+	11.9670i	−0.623824	+	0.623824i
$369$	6.88199	+	0.187827i	0.358262	+	0.00977789i
$370$	−22.0277	−	36.0388i	−1.14517	−	1.87357i
$371$	2.67758	+	3.68538i	0.139013	+	0.191335i
$372$	−5.84539	−	40.4725i	−0.303069	−	2.09840i
$373$	−1.86491	+	3.66010i	−0.0965616	+	0.189513i	−0.934234	−	0.356660i	$-0.883916\pi$
$373$	−1.86491	+	3.66010i	−0.0965616	+	0.189513i	0.837673	+	0.546172i	$0.183916\pi$
$374$	7.84540			0.405676
$375$	18.9044	−	4.19820i	0.976217	−	0.216794i
$376$	−5.38879			−0.277906
$377$	6.10759	−	11.9868i	0.314557	−	0.617353i
$378$	8.79287	+	9.54379i	0.452257	+	0.490879i
$379$	−2.99225	−	4.11848i	−0.153701	−	0.211552i	0.725222	−	0.688516i	$-0.241737\pi$
$379$	−2.99225	−	4.11848i	−0.153701	−	0.211552i	−0.878923	+	0.476964i	$0.841737\pi$
$380$	−19.0551	−	31.1754i	−0.977506	−	1.59927i
$381$	−31.0978	−	10.5755i	−1.59319	−	0.541797i
$382$	30.8306	−	30.8306i	1.57743	−	1.57743i
$383$	20.9314	−	3.31521i	1.06955	−	0.169400i	0.403253	−	0.915089i	$-0.367880\pi$
$383$	20.9314	−	3.31521i	1.06955	−	0.169400i	0.666294	+	0.745689i	$0.267880\pi$
$384$	−0.395487	+	28.9867i	−0.0201821	+	1.47922i
$385$	−11.6022	+	0.899699i	−0.591302	+	0.0458529i
$386$	31.0641	−	10.0933i	1.58112	−	0.513737i
$387$	−20.9571	−	11.4088i	−1.06531	−	0.579941i
$388$	−15.9998	+	8.15232i	−0.812268	+	0.413871i
$389$	−4.43676	−	13.6550i	−0.224953	−	0.692333i	−0.998296	−	0.0583464i	$-0.981417\pi$
$389$	−4.43676	−	13.6550i	−0.224953	−	0.692333i	0.773344	−	0.633987i	$-0.218583\pi$
$390$	40.2581	−	33.3666i	2.03855	−	1.68958i
$391$	0.576273	−	1.77359i	0.0291434	−	0.0896941i
$392$	−0.873941	−	5.51785i	−0.0441407	−	0.278693i
$393$	15.3632	−	29.1614i	0.774970	−	1.47100i
$394$	−12.8520	+	17.6893i	−0.647476	+	0.891175i
$395$	12.4530	−	29.9668i	0.626580	−	1.50779i
$396$	−62.3320	−	22.1505i	−3.13230	−	1.11310i
$397$	1.27823	−	8.07040i	0.0641523	−	0.405042i	−0.934626	−	0.355632i	$-0.884266\pi$
$397$	1.27823	−	8.07040i	0.0641523	−	0.405042i	0.998779	−	0.0494103i	$-0.0157342\pi$
$398$	−40.0353	−	20.3990i	−2.00679	−	1.02251i
$399$	−1.97730	−	6.38039i	−0.0989887	−	0.319419i
$400$	−19.3233	−	19.4123i	−0.966164	−	0.970615i
$401$		−	5.20841i		−	0.260096i	−0.991508	−	0.130048i	$-0.958487\pi$
$401$		−	5.20841i		−	0.260096i	0.991508	−	0.130048i	$-0.0415131\pi$
$402$	8.36657	−	48.5298i	0.417286	−	2.42044i
$403$	−29.7520	−	4.71225i	−1.48205	−	0.234734i
$404$	46.5560	−	33.8249i	2.31625	−	1.68285i
$405$	18.1350	+	8.72486i	0.901133	+	0.433542i
$406$	−5.02803	−	3.65308i	−0.249537	−	0.181299i
$407$	27.8336	+	27.8336i	1.37966	+	1.37966i
$408$	2.58048	+	5.23999i	0.127753	+	0.259418i
$409$	−11.5525	−	3.75364i	−0.571235	−	0.185606i	0.00913514	−	0.999958i	$-0.497092\pi$
$409$	−11.5525	−	3.75364i	−0.571235	−	0.185606i	−0.580370	+	0.814353i	$0.697092\pi$
$410$	−12.4577	−	3.00598i	−0.615243	−	0.148455i
$411$	7.73753	−	5.46193i	0.381664	−	0.269417i
$412$	31.1873	+	61.2085i	1.53649	+	3.01553i
$413$	1.22975	+	2.41351i	0.0605119	+	0.118761i
$414$	−14.1109	+	18.3477i	−0.693515	+	0.901739i
$415$	−4.93941	−	5.79678i	−0.242466	−	0.284553i
$416$	−12.8924	−	4.18901i	−0.632104	−	0.205383i
$417$	−0.392447	+	0.193264i	−0.0192182	+	0.00946416i
$418$	35.4429	+	35.4429i	1.73357	+	1.73357i
$419$	6.44374	+	4.68165i	0.314797	+	0.228714i	0.733952	−	0.679201i	$-0.237674\pi$
$419$	6.44374	+	4.68165i	0.314797	+	0.228714i	−0.419155	+	0.907915i	$0.637674\pi$
$420$	−8.36618	−	14.1169i	−0.408228	−	0.688835i
$421$	−25.6069	+	18.6045i	−1.24801	+	0.906729i	−0.998104	−	0.0615422i	$-0.980398\pi$
$421$	−25.6069	+	18.6045i	−1.24801	+	0.906729i	−0.249901	+	0.968271i	$0.580398\pi$
$422$	4.56338	+	0.722769i	0.222142	+	0.0351838i
$423$	−2.86942	+	0.374539i	−0.139516	+	0.0182107i
$424$		−	25.4492i		−	1.23592i
$425$	2.86828	+	0.939254i	0.139132	+	0.0455605i
$426$	57.7068	−	17.8835i	2.79590	−	0.866457i
$427$	0.650104	+	0.331245i	0.0314607	+	0.0160301i
$428$	−8.28582	+	52.3146i	−0.400510	+	2.52872i
$429$	−29.1773	+	39.0281i	−1.40869	+	1.88430i
$430$	33.7414	+	28.8850i	1.62715	+	1.39296i
$431$	−4.01269	+	5.52299i	−0.193284	+	0.266033i	−0.894649	−	0.446770i	$-0.852574\pi$
$431$	−4.01269	+	5.52299i	−0.193284	+	0.266033i	0.701365	+	0.712802i	$0.252574\pi$
$432$	−3.29878	−	28.2730i	−0.158713	−	1.36029i
$433$	−4.85819	−	30.6734i	−0.233470	−	1.47407i	−0.774237	−	0.632896i	$-0.781866\pi$
$433$	−4.85819	−	30.6734i	−0.233470	−	1.47407i	0.540767	−	0.841172i	$-0.318134\pi$
$434$	−4.30027	+	13.2349i	−0.206419	+	0.635294i
$435$	−9.33766	−	2.38839i	−0.447706	−	0.114514i
$436$	−19.0523	−	58.6369i	−0.912438	−	2.80820i
$437$	10.6159	−	5.40906i	0.507826	−	0.258750i
$438$	6.46782	+	6.64675i	0.309045	+	0.317594i
$439$	35.2552	−	11.4551i	1.68264	−	0.546723i	0.697219	−	0.716858i	$-0.254420\pi$
$439$	35.2552	−	11.4551i	1.68264	−	0.546723i	0.985421	+	0.170135i	$0.0544204\pi$
$440$	55.3925	+	34.0322i	2.64073	+	1.62242i
$441$	−0.848865	−	2.87740i	−0.0404221	−	0.137019i
$442$	8.04911	−	1.27485i	0.382857	−	0.0606386i
$443$	−0.434876	+	0.434876i	−0.0206616	+	0.0206616i	−0.717362	−	0.696701i	$-0.754651\pi$
$443$	−0.434876	+	0.434876i	−0.0206616	+	0.0206616i	0.696701	+	0.717362i	$0.254651\pi$
$444$	−17.8711	+	52.5510i	−0.848123	+	2.49396i
$445$	−14.9933	+	17.5141i	−0.710752	+	0.830250i
$446$	40.2887	+	55.4527i	1.90773	+	2.62576i
$447$	−31.9597	+	4.61590i	−1.51164	+	0.218324i
$448$	2.13086	−	4.18205i	0.100674	−	0.197583i
$449$	4.19824			0.198127			0.0990635	−	0.995081i	$-0.468415\pi$
$449$	4.19824			0.198127			0.0990635	+	0.995081i	$0.468415\pi$
$450$	−29.6420	−	22.9058i	−1.39734	−	1.07979i
$451$	11.9429			0.562371
$452$	28.3233	−	55.5877i	1.33222	−	2.61463i
$453$	−4.55603	+	0.658021i	−0.214061	+	0.0309165i
$454$	−10.7082	−	14.7385i	−0.502560	−	0.691714i
$455$	−11.7573	+	2.80838i	−0.551189	+	0.131659i
$456$	−12.0148	+	35.3302i	−0.562644	+	1.65449i
$457$	3.61279	−	3.61279i	0.168999	−	0.168999i	−0.617540	−	0.786539i	$-0.711871\pi$
$457$	3.61279	−	3.61279i	0.168999	−	0.168999i	0.786539	+	0.617540i	$0.211871\pi$
$458$	−20.2079	+	3.20062i	−0.944253	+	0.149555i
$459$	1.73825	+	2.61084i	0.0811345	+	0.121863i
$460$	22.2786	−	18.9835i	1.03874	−	0.885110i
$461$	−14.3794	+	4.67214i	−0.669714	+	0.217603i	−0.624086	−	0.781355i	$-0.714529\pi$
$461$	−14.3794	+	4.67214i	−0.669714	+	0.217603i	−0.0456274	+	0.998959i	$0.514529\pi$
$462$	15.6994	+	16.1337i	0.730402	+	0.750609i
$463$	1.58667	−	0.808448i	0.0737387	−	0.0375717i	−0.416732	−	0.909029i	$-0.636825\pi$
$463$	1.58667	−	0.808448i	0.0737387	−	0.0375717i	0.490471	+	0.871458i	$0.336825\pi$
$464$	4.21271	+	12.9654i	0.195570	+	0.601903i
$465$	1.37481	+	21.5372i	0.0637554	+	0.998762i
$466$	21.6195	−	66.5379i	1.00150	−	3.08231i
$467$	−3.11096	−	19.6418i	−0.143958	−	0.908915i	−0.948904	−	0.315566i	$-0.897806\pi$
$467$	−3.11096	−	19.6418i	−0.143958	−	0.908915i	0.804946	−	0.593349i	$-0.202194\pi$
$468$	−67.5499	−	12.5969i	−3.12249	−	0.582292i
$469$	−6.69174	+	9.21039i	−0.308996	+	0.425296i
$470$	5.36950	+	0.428797i	0.247677	+	0.0197789i
$471$	−8.30164	+	11.1044i	−0.382519	+	0.511665i
$472$	2.36729	−	14.9465i	0.108963	−	0.687967i
$473$	−36.8816	−	18.7921i	−1.69582	−	0.864062i
$474$	−59.9628	+	18.5826i	−2.75418	+	0.853528i
$475$	8.71470	+	17.2012i	0.399858	+	0.789244i
$476$		−	2.55757i		−	0.117226i
$477$	−1.76880	−	13.5512i	−0.0809879	−	0.620466i
$478$	19.3096	+	3.05834i	0.883200	+	0.139885i
$479$	−15.5631	+	11.3073i	−0.711098	+	0.516643i	−0.883528	−	0.468379i	$-0.844838\pi$
$479$	−15.5631	+	11.3073i	−0.711098	+	0.516643i	0.172430	+	0.985022i	$0.444838\pi$
$480$	−0.905114	+	9.66963i	−0.0413126	+	0.441356i
$481$	33.0792	+	24.0334i	1.50828	+	1.09583i
$482$	−0.994016	−	0.994016i	−0.0452762	−	0.0452762i
$483$	4.80048	−	2.36404i	0.218429	−	0.107567i
$484$	−64.8124	−	21.0588i	−2.94602	−	0.957219i
$485$	8.75960	−	3.61656i	0.397753	−	0.164220i
$486$	−9.47853	−	37.7590i	−0.429955	−	1.71278i
$487$	1.08138	+	2.12233i	0.0490020	+	0.0961718i	0.914209	−	0.405243i	$-0.132813\pi$
$487$	1.08138	+	2.12233i	0.0490020	+	0.0961718i	−0.865207	+	0.501415i	$0.832813\pi$
$488$	−1.85054	−	3.63189i	−0.0837700	−	0.164408i
$489$	9.15420	−	6.46196i	0.413967	−	0.292220i
$490$	0.431745	+	5.56763i	0.0195043	+	0.251520i
$491$	−5.39602	−	1.75327i	−0.243519	−	0.0791241i	0.184715	−	0.982792i	$-0.440864\pi$
$491$	−5.39602	−	1.75327i	−0.243519	−	0.0791241i	−0.428234	+	0.903668i	$0.640864\pi$
$492$	7.44030	+	15.1085i	0.335435	+	0.681143i
$493$	−1.06221	−	1.06221i	−0.0478394	−	0.0478394i
$494$	42.1226	+	30.6038i	1.89518	+	1.37693i
$495$	31.8607	+	14.2715i	1.43203	+	0.641455i
$496$	24.6950	−	17.9420i	1.10884	−	0.805619i
$497$	−13.7947	−	2.18487i	−0.618777	−	0.0980046i
$498$	−2.50298	+	14.5184i	−0.112161	+	0.650584i
$499$			42.8155i			1.91668i	0.285625	+	0.958342i	$0.407799\pi$
$499$			42.8155i			1.91668i	−0.285625	+	0.958342i	$0.592201\pi$
$500$	30.6406	+	36.1269i	1.37029	+	1.61565i
$501$	3.28831	+	10.6108i	0.146911	+	0.474056i
$502$	1.65488	+	0.843204i	0.0738609	+	0.0376340i
$503$	1.99155	−	12.5741i	0.0887987	−	0.560653i	−0.902673	−	0.430328i	$-0.858398\pi$
$503$	1.99155	−	12.5741i	0.0887987	−	0.560653i	0.991471	−	0.130325i	$-0.0416021\pi$
$504$	−5.61203	+	15.7924i	−0.249980	+	0.703448i
$505$	−25.9130	+	15.8386i	−1.15311	+	0.704808i
$506$	−23.6014	+	32.4845i	−1.04921	+	1.44411i
$507$	−13.0979	+	24.8616i	−0.581698	+	1.10414i
$508$	−12.5696	−	79.3614i	−0.557686	−	3.52109i
$509$	−7.09792	+	21.8452i	−0.314610	+	0.968270i	0.661305	+	0.750117i	$0.270003\pi$
$509$	−7.09792	+	21.8452i	−0.314610	+	0.968270i	−0.975915	+	0.218152i	$0.929997\pi$
$510$	−2.15428	−	5.42656i	−0.0953931	−	0.240292i
$511$	−0.662543	−	2.03910i	−0.0293092	−	0.0902044i
$512$	−42.2969	+	21.5513i	−1.86927	+	0.952443i
$513$	−3.94206	+	19.6477i	−0.174046	+	0.867467i
$514$	30.4397	−	9.89047i	1.34264	−	0.436250i
$515$	−13.8354	−	33.5105i	−0.609661	−	1.47665i
$516$	0.796309	−	58.3645i	0.0350556	−	2.56935i
$517$	−4.95814	+	0.785292i	−0.218059	+	0.0345371i
$518$	13.3567	−	13.3567i	0.586860	−	0.586860i
$519$	37.7426	+	12.8351i	1.65671	+	0.563400i
$520$	62.3610	+	25.9147i	2.73471	+	1.13644i
$521$	−10.8377	−	14.9169i	−0.474810	−	0.653520i	0.502687	−	0.864468i	$-0.332345\pi$
$521$	−10.8377	−	14.9169i	−0.474810	−	0.653520i	−0.977497	+	0.210949i	$0.932345\pi$
$522$	8.00825	+	16.8375i	0.350512	+	0.736959i
$523$	13.3240	−	26.1498i	0.582618	−	1.14345i	−0.392082	−	0.919930i	$-0.628245\pi$
$523$	13.3240	−	26.1498i	0.582618	−	1.14345i	0.974699	−	0.223521i	$-0.0717551\pi$
$524$	80.6296			3.52232
$525$	3.80817	+	7.77803i	0.166202	+	0.339461i
$526$	−14.6677			−0.639544
$527$	−1.52702	+	2.99694i	−0.0665179	+	0.130549i
$528$	−7.05852	−	48.8720i	−0.307183	−	2.12688i
$529$	−7.90899	−	10.8858i	−0.343869	−	0.473295i
$530$	−2.02504	+	25.3581i	−0.0879623	+	1.10148i
$531$	0.221703	−	8.12323i	0.00962111	−	0.352518i
$532$	11.5542	−	11.5542i	0.500940	−	0.500940i
$533$	12.2531	−	1.94069i	0.530739	−	0.0840608i
$534$	44.5956	+	0.608451i	1.92984	+	0.0263302i
$535$	6.55677	−	27.1733i	0.283474	−	1.17481i
$536$	60.4890	−	19.6541i	2.61273	−	0.848926i
$537$	11.6476	−	11.3340i	0.502630	−	0.489099i
$538$	−18.4286	+	9.38983i	−0.794512	+	0.404824i
$539$	−1.60820	−	4.94952i	−0.0692699	−	0.213191i
$540$	1.79461	+	49.1966i	0.0772276	+	2.11708i
$541$	9.41129	−	28.9650i	0.404623	−	1.24530i	−0.516586	−	0.856235i	$-0.672797\pi$
$541$	9.41129	−	28.9650i	0.404623	−	1.24530i	0.921209	−	0.389067i	$-0.127203\pi$
$542$	−7.01668	−	44.3016i	−0.301392	−	1.90292i
$543$	30.8082	+	16.2307i	1.32211	+	0.696528i
$544$	−0.889710	+	1.22458i	−0.0381460	+	0.0525034i
$545$	7.55952	+	31.6478i	0.323814	+	1.35564i
$546$	18.7287	+	14.0015i	0.801516	+	0.599211i
$547$	1.09608	−	6.92039i	0.0468651	−	0.295895i	−0.953112	−	0.302617i	$-0.902140\pi$
$547$	1.09608	−	6.92039i	0.0468651	−	0.295895i	0.999977	+	0.00672218i	$0.00213975\pi$
$548$	20.6433	+	10.5183i	0.881836	+	0.449318i
$549$	−1.23780	−	1.80529i	−0.0528282	−	0.0770479i
$550$	−52.4861	−	38.3180i	−2.23802	−	1.63389i
$551$		−	9.59739i		−	0.408863i
$552$	−29.4595	−	5.07884i	−1.25388	−	0.216170i
$553$	14.3340	+	2.27028i	0.609544	+	0.0965422i
$554$	−16.1002	+	11.6975i	−0.684031	+	0.496978i
$555$	11.6093	−	26.8950i	0.492786	−	1.14163i
$556$	−0.865736	−	0.628994i	−0.0367154	−	0.0266753i
$557$	−3.37975	−	3.37975i	−0.143205	−	0.143205i	0.631870	−	0.775074i	$-0.282288\pi$
$557$	−3.37975	−	3.37975i	−0.143205	−	0.143205i	−0.775074	+	0.631870i	$0.782288\pi$
$558$	30.3146	−	28.7038i	1.28332	−	1.21513i
$559$	−40.8929	−	13.2869i	−1.72959	−	0.561977i
$560$	6.41224	−	10.4369i	0.270966	−	0.441039i
$561$	3.13786	+	4.44518i	0.132480	+	0.187676i
$562$	14.8430	+	29.1310i	0.626115	+	1.22882i
$563$	5.65058	+	11.0899i	0.238144	+	0.467383i	0.978886	−	0.204406i	$-0.0655262\pi$
$563$	5.65058	+	11.0899i	0.238144	+	0.467383i	−0.740743	+	0.671789i	$0.765526\pi$
$564$	−4.08229	−	5.78309i	−0.171896	−	0.243512i
$565$	−17.2355	+	28.0534i	−0.725104	+	1.18022i
$566$	−53.9714	−	17.5364i	−2.26859	−	0.737109i
$567$	−1.89067	+	8.79917i	−0.0794007	+	0.369530i
$568$	55.1731	+	55.1731i	2.31501	+	2.31501i
$569$	−10.5444	−	7.66097i	−0.442045	−	0.321164i	0.344402	−	0.938822i	$-0.388082\pi$
$569$	−10.5444	−	7.66097i	−0.442045	−	0.321164i	−0.786447	+	0.617658i	$0.788082\pi$
$570$	14.7831	−	34.2477i	0.619195	−	1.43448i
$571$	−23.9381	+	17.3920i	−1.00178	+	0.727834i	−0.962469	−	0.271393i	$-0.912516\pi$
$571$	−23.9381	+	17.3920i	−1.00178	+	0.727834i	−0.0393091	+	0.999227i	$0.512516\pi$
$572$	−117.734	−	18.6473i	−4.92272	−	0.779682i
$573$	29.7996	+	5.13747i	1.24490	+	0.214621i
$574$		−	5.73115i		−	0.239214i
$575$	−12.5177	+	9.05079i	−0.522026	+	0.377444i
$576$	−11.6132	+	7.96266i	−0.483885	+	0.331778i
$577$	10.4133	+	5.30582i	0.433510	+	0.220884i	0.657107	−	0.753797i	$-0.271780\pi$
$577$	10.4133	+	5.30582i	0.433510	+	0.220884i	−0.223597	+	0.974682i	$0.571780\pi$
$578$	−6.49919	+	41.0342i	−0.270330	+	1.70680i
$579$	18.1433	+	13.5639i	0.754010	+	0.563695i
$580$	−5.47768	−	22.9322i	−0.227448	−	0.952208i
$581$	2.00193	−	2.75542i	0.0830541	−	0.114314i
$582$	−16.2195	−	8.54492i	−0.672318	−	0.354199i
$583$	−3.70863	−	23.4154i	−0.153596	−	0.969765i
$584$	−3.70138	+	11.3917i	−0.153164	+	0.471391i
$585$	35.0071	+	9.46478i	1.44737	+	0.391321i
$586$	−8.88884	−	27.3570i	−0.367195	−	1.13011i
$587$	−39.7638	+	20.2607i	−1.64123	+	0.836248i	−0.643753	+	0.765233i	$0.722624\pi$
$587$	−39.7638	+	20.2607i	−1.64123	+	0.836248i	−0.997475	+	0.0710145i	$0.977376\pi$
$588$	5.25953	−	5.11795i	0.216899	−	0.211060i
$589$	−20.4377	+	6.64061i	−0.842121	+	0.273622i
$590$	−3.54813	+	14.7046i	−0.146074	+	0.605378i
$591$	−15.1630	−	0.206880i	−0.623724	−	0.00850992i
$592$	−40.9235	+	6.48165i	−1.68195	+	0.266394i
$593$	21.5655	−	21.5655i	0.885589	−	0.885589i	−0.108506	−	0.994096i	$-0.534607\pi$
$593$	21.5655	−	21.5655i	0.885589	−	0.885589i	0.994096	+	0.108506i	$0.0346068\pi$
$594$	−18.2238	−	65.0293i	−0.747730	−	2.66818i
$595$	−0.107447	+	1.34547i	−0.00440489	+	0.0551591i
$596$	−46.4302	−	63.9057i	−1.90186	−	2.61768i
$597$	−4.45457	−	30.8427i	−0.182314	−	1.26231i
$598$	−18.9356	+	37.1632i	−0.774334	+	1.51972i
$599$	29.1224			1.18991			0.594954	−	0.803760i	$-0.297170\pi$
$599$	29.1224			1.18991			0.594954	+	0.803760i	$0.297170\pi$
$600$	8.32931	−	47.6592i	0.340043	−	1.94568i
$601$	15.4138			0.628744			0.314372	−	0.949300i	$-0.398206\pi$
$601$	15.4138			0.628744			0.314372	+	0.949300i	$0.398206\pi$
$602$	−9.01791	+	17.6986i	−0.367543	+	0.721343i
$603$	30.8431	−	14.6696i	1.25603	−	0.597391i
$604$	−6.61888	−	9.11010i	−0.269318	−	0.370685i
$605$	33.2115	+	13.8014i	1.35024	+	0.561106i
$606$	55.6219	+	18.9154i	2.25949	+	0.768386i
$607$	4.83378	−	4.83378i	0.196197	−	0.196197i	−0.602171	−	0.798367i	$-0.705697\pi$
$607$	4.83378	−	4.83378i	0.196197	−	0.196197i	0.798367	+	0.602171i	$0.205697\pi$
$608$	−9.55165	+	1.51283i	−0.387371	+	0.0613535i
$609$	0.0588040	−	4.30996i	0.00238286	−	0.174649i
$610$	1.55492	+	3.76614i	0.0629568	+	0.152486i
$611$	−4.95927	+	1.61137i	−0.200631	+	0.0651889i
$612$	−3.66855	+	6.73886i	−0.148293	+	0.272402i
$613$	23.9330	−	12.1945i	0.966644	−	0.492530i	0.101929	−	0.994792i	$-0.467499\pi$
$613$	23.9330	−	12.1945i	0.966644	−	0.492530i	0.864716	+	0.502262i	$0.167499\pi$
$614$	10.5275	+	32.4004i	0.424856	+	1.30757i
$615$	−3.27943	−	8.26078i	−0.132239	−	0.333107i
$616$	−8.98439	+	27.6511i	−0.361992	+	1.11410i
$617$	−5.51702	−	34.8331i	−0.222107	−	1.40233i	−0.806681	−	0.590988i	$-0.798738\pi$
$617$	−5.51702	−	34.8331i	−0.222107	−	1.40233i	0.584574	−	0.811341i	$-0.301262\pi$
$618$	−32.6892	+	62.0487i	−1.31495	+	2.49596i
$619$	−7.55856	+	10.4035i	−0.303804	+	0.418151i	−0.933437	−	0.358743i	$-0.883206\pi$
$619$	−7.55856	+	10.4035i	−0.303804	+	0.418151i	0.629632	+	0.776893i	$0.283206\pi$
$620$	−45.0442	+	27.5320i	−1.80902	+	1.10571i
$621$	−16.0396	−	0.656845i	−0.643646	−	0.0263583i
$622$	−10.6413	+	67.1867i	−0.426678	+	2.69394i
$623$	−9.18683	−	4.68092i	−0.368063	−	0.187537i
$624$	−15.1834	−	48.9941i	−0.607821	−	1.96133i
$625$	−14.6015	−	20.2928i	−0.584061	−	0.811710i
$626$		−	41.7171i		−	1.66735i
$627$	−5.90604	+	34.2576i	−0.235864	+	1.36812i
$628$	−33.4982	−	5.30559i	−1.33672	−	0.211716i
$629$	3.69365	−	2.68359i	0.147275	−	0.107002i
$630$	6.84857	−	15.2893i	0.272853	−	0.609139i
$631$	−16.8852	−	12.2678i	−0.672188	−	0.488373i	0.198569	−	0.980087i	$-0.436371\pi$
$631$	−16.8852	−	12.2678i	−0.672188	−	0.488373i	−0.870757	+	0.491714i	$0.836371\pi$
$632$	−57.3300	−	57.3300i	−2.28047	−	2.28047i
$633$	1.41566	+	2.87468i	0.0562674	+	0.114258i
$634$	−67.1465	−	21.8172i	−2.66673	−	0.866473i
$635$	3.27849	+	42.2782i	0.130103	+	1.67776i
$636$	27.3113	−	19.2791i	1.08296	−	0.764466i
$637$	−2.45424	−	4.81671i	−0.0972404	−	0.190845i
$638$	14.6840	+	28.8190i	0.581345	+	1.14095i
$639$	33.2133	+	25.5438i	1.31390	+	1.01050i
$640$	34.5928	−	14.2823i	1.36740	−	0.564556i
$641$	4.58862	+	1.49093i	0.181240	+	0.0588883i	0.398231	−	0.917285i	$-0.369624\pi$
$641$	4.58862	+	1.49093i	0.181240	+	0.0588883i	−0.216991	+	0.976174i	$0.569624\pi$
$642$	−48.5114	+	23.8898i	−1.91459	+	0.942856i
$643$	10.2315	+	10.2315i	0.403493	+	0.403493i	0.879462	−	0.475969i	$-0.157903\pi$
$643$	10.2315	+	10.2315i	0.403493	+	0.403493i	−0.475969	+	0.879462i	$0.657903\pi$
$644$	10.5898	+	7.69397i	0.417298	+	0.303185i
$645$	−2.87089	+	30.6707i	−0.113041	+	1.20766i
$646$	4.70344	−	3.41725i	0.185054	−	0.134450i
$647$	31.4760	+	4.98531i	1.23745	+	0.195993i	0.740662	−	0.671878i	$-0.234512\pi$
$647$	31.4760	+	4.98531i	1.23745	+	0.195993i	0.496789	+	0.867871i	$0.334512\pi$
$648$	37.4394	−	33.5609i	1.47076	−	1.31840i
$649$		−	14.0970i		−	0.553355i
$650$	−60.0756	−	30.7841i	−2.35636	−	1.20745i
$651$	−9.21878	+	2.85692i	−0.361313	+	0.111972i
$652$	24.4228	+	12.4441i	0.956472	+	0.487347i
$653$	1.37569	−	8.68577i	0.0538349	−	0.339900i	−0.946039	−	0.324051i	$-0.894955\pi$
$653$	1.37569	−	8.68577i	0.0538349	−	0.339900i	0.999874	−	0.0158489i	$-0.00504508\pi$
$654$	37.6889	−	50.4134i	1.47375	−	1.97132i
$655$	−42.4172	−	3.38735i	−1.65738	−	0.132355i
$656$	−7.38923	+	10.1704i	−0.288501	+	0.397088i
$657$	−1.17915	+	6.32310i	−0.0460031	+	0.246688i
$658$	0.376844	+	2.37930i	0.0146909	+	0.0927547i
$659$	7.10309	−	21.8611i	0.276697	−	0.851586i	−0.712068	−	0.702110i	$-0.752241\pi$
$659$	7.10309	−	21.8611i	0.276697	−	0.851586i	0.988765	−	0.149476i	$-0.0477586\pi$
$660$	5.44040	+	85.2267i	0.211767	+	3.31745i
$661$	−8.33606	−	25.6557i	−0.324235	−	0.997893i	−0.971785	−	0.235870i	$-0.924206\pi$
$661$	−8.33606	−	25.6557i	−0.324235	−	0.997893i	0.647550	−	0.762023i	$-0.275794\pi$
$662$	−0.192103	+	0.0978812i	−0.00746628	+	0.00380426i
$663$	3.94167	+	4.05071i	0.153082	+	0.157317i
$664$	−18.0962	+	5.87980i	−0.702267	+	0.228180i
$665$	−6.56381	+	5.59299i	−0.254534	+	0.216887i
$666$	−54.3519	+	16.0344i	−2.10609	+	0.621321i
$667$	7.59361	−	1.20271i	0.294026	−	0.0465691i
$668$	−19.2151	+	19.2151i	−0.743454	+	0.743454i
$669$	−15.3054	+	45.0065i	−0.591741	+	1.74005i
$670$	−61.8363	+	14.7705i	−2.38894	+	0.570633i
$671$	−2.23191	−	3.07197i	−0.0861621	−	0.118592i
$672$	−4.29869	+	0.620854i	−0.165826	+	0.0239500i
$673$	0.142176	−	0.279035i	0.00548047	−	0.0107560i	−0.888250	−	0.459360i	$-0.848079\pi$
$673$	0.142176	−	0.279035i	0.00548047	−	0.0107560i	0.893731	+	0.448604i	$0.148079\pi$
$674$	3.45781			0.133190
$675$	1.12271	−	25.9565i	0.0432133	−	0.999066i
$676$	−68.7408			−2.64388
$677$	−10.2973	+	20.2095i	−0.395756	+	0.776714i	−0.999795	−	0.0202404i	$-0.993557\pi$
$677$	−10.2973	+	20.2095i	−0.395756	+	0.776714i	0.604040	+	0.796954i	$0.293557\pi$
$678$	63.0385	−	9.10457i	2.42098	−	0.349659i
$679$	2.49113	+	3.42875i	0.0956008	+	0.131583i
$680$	4.90381	−	5.72828i	0.188053	−	0.219670i
$681$	4.06796	−	11.9621i	0.155884	−	0.458388i
$682$	51.2100	−	51.2100i	1.96093	−	1.96093i
$683$	−16.5075	+	2.61453i	−0.631642	+	0.100042i	−0.464043	−	0.885813i	$-0.653602\pi$
$683$	−16.5075	+	2.61453i	−0.631642	+	0.100042i	−0.167599	+	0.985855i	$0.553602\pi$
$684$	−47.0172	+	13.8706i	−1.79775	+	0.530355i
$685$	−10.4180	−	6.40065i	−0.398052	−	0.244556i
$686$	−2.37516	+	0.771737i	−0.0906842	+	0.0294651i
$687$	−9.89585	−	10.1696i	−0.377550	−	0.387995i
$688$	38.8221	−	19.7808i	1.48008	−	0.754137i
$689$	−7.60986	−	23.4207i	−0.289912	−	0.892259i
$690$	28.9499	+	7.40480i	1.10210	+	0.281896i
$691$	−3.94201	+	12.1323i	−0.149961	+	0.461533i	−0.997616	−	0.0690158i	$-0.978014\pi$
$691$	−3.94201	+	12.1323i	−0.149961	+	0.461533i	0.847654	+	0.530549i	$0.178014\pi$
$692$	15.2554	+	96.3187i	0.579923	+	3.66149i
$693$	−2.86216	+	15.3481i	−0.108725	+	0.583026i
$694$	2.92590	−	4.02716i	0.111066	−	0.152869i
$695$	0.429017	+	0.367269i	0.0162736	+	0.0139313i
$696$	−14.4186	+	19.2865i	−0.546534	+	0.731054i
$697$	0.216700	−	1.36819i	0.00820808	−	0.0518238i
$698$	−3.27624	−	1.66933i	−0.124007	−	0.0631849i
$699$	46.3472	−	14.3631i	1.75301	−	0.543262i
$700$	−12.4915	+	17.1103i	−0.472135	+	0.646708i
$701$			9.97697i			0.376825i	0.982090	+	0.188413i	$0.0603342\pi$
$701$			9.97697i			0.376825i	−0.982090	+	0.188413i	$0.939666\pi$
$702$	−29.2640	−	63.7565i	−1.10450	−	2.40634i
$703$	28.8103	+	4.56310i	1.08660	+	0.172100i
$704$	−19.7616	+	14.3577i	−0.744795	+	0.541125i
$705$	1.90464	+	3.21385i	0.0717329	+	0.121040i
$706$	−26.9984	−	19.6155i	−1.01610	−	0.738239i
$707$	−9.60388	−	9.60388i	−0.361191	−	0.361191i
$708$	17.8335	−	8.78223i	0.670222	−	0.330056i
$709$	−24.7562	−	8.04377i	−0.929738	−	0.302090i	−0.195283	−	0.980747i	$-0.562562\pi$
$709$	−24.7562	−	8.04377i	−0.929738	−	0.302090i	−0.734456	+	0.678657i	$0.762562\pi$
$710$	−50.5853	−	59.3657i	−1.89843	−	2.22796i
$711$	−34.5117	−	26.5424i	−1.29429	−	0.995419i
$712$	26.1506	+	51.3234i	0.980034	+	1.92343i
$713$	−7.81534	−	15.3385i	−0.292687	−	0.574430i
$714$	2.13314	−	1.50579i	0.0798308	−	0.0563527i
$715$	61.1537	+	14.7561i	2.28702	+	0.551845i
$716$	37.8101	+	12.2852i	1.41303	+	0.459121i
$717$	5.99025	+	12.1640i	0.223710	+	0.454272i
$718$	21.0004	+	21.0004i	0.783727	+	0.783727i
$719$	−29.6595	−	21.5489i	−1.10611	−	0.803638i	−0.124066	−	0.992274i	$-0.539593\pi$
$719$	−29.6595	−	21.5489i	−1.10611	−	0.803638i	−0.982047	+	0.188636i	$0.939593\pi$
$720$	−31.8659	+	18.3021i	−1.18757	+	0.682080i
$721$	13.1169	−	9.53000i	0.488499	−	0.354916i
$722$	−10.1797	−	1.61231i	−0.378851	−	0.0600041i
$723$	0.165638	−	0.960775i	0.00616015	−	0.0357316i
$724$			85.1828i			3.16579i
$725$	1.91826	+	12.2942i	0.0712423	+	0.456595i
$726$	−20.5947	−	66.4553i	−0.764339	−	2.46639i
$727$	2.74603	+	1.39917i	0.101845	+	0.0518925i	0.504171	−	0.863604i	$-0.331798\pi$
$727$	2.74603	+	1.39917i	0.101845	+	0.0518925i	−0.402326	+	0.915496i	$0.631798\pi$
$728$	−4.72446	+	29.8291i	−0.175100	+	1.10554i
$729$	17.6031	−	20.4727i	0.651967	−	0.758247i
$730$	4.59459	−	11.0564i	0.170053	−	0.409214i
$731$	−2.82203	+	3.88419i	−0.104377	+	0.143662i
$732$	2.49575	−	4.73729i	0.0922457	−	0.175095i
$733$	−2.68361	−	16.9436i	−0.0991212	−	0.625827i	−0.986371	−	0.164537i	$-0.947387\pi$
$733$	−2.68361	−	16.9436i	−0.0991212	−	0.625827i	0.887250	−	0.461290i	$-0.152613\pi$
$734$	20.3716	−	62.6975i	0.751931	−	2.31421i
$735$	−2.98192	+	2.47147i	−0.109990	+	0.0911614i
$736$	−2.39396	−	7.36784i	−0.0882424	−	0.271582i
$737$	52.7908	−	26.8982i	1.94457	−	0.990809i
$738$	−8.22071	+	15.1008i	−0.302609	+	0.555869i
$739$	−3.78159	+	1.22871i	−0.139108	+	0.0451989i	−0.377744	−	0.925910i	$-0.623300\pi$
$739$	−3.78159	+	1.22871i	−0.139108	+	0.0451989i	0.238635	+	0.971109i	$0.423300\pi$
$740$	71.4442	−	5.54019i	2.62634	−	0.203661i
$741$	−0.492632	+	36.1069i	−0.0180973	+	1.32642i
$742$	−11.2365	+	1.77969i	−0.412505	+	0.0653344i
$743$	−11.5409	+	11.5409i	−0.423393	+	0.423393i	−0.886370	−	0.462977i	$-0.846781\pi$
$743$	−11.5409	+	11.5409i	−0.423393	+	0.423393i	0.462977	+	0.886370i	$0.346781\pi$
$744$	51.0473	+	17.3597i	1.87148	+	0.636437i
$745$	21.7410	+	35.5698i	0.796530	+	1.30318i
$746$	−6.03001	−	8.29960i	−0.220774	−	0.303870i
$747$	−9.22717	+	4.38862i	−0.337605	+	0.160571i
$748$	−6.04270	+	11.8595i	−0.220943	+	0.433625i
$749$	12.5011			0.456779
$750$	−12.0918	+	46.8258i	−0.441531	+	1.70984i
$751$	42.0989			1.53621			0.768106	−	0.640323i	$-0.221200\pi$
$751$	42.0989			1.53621			0.768106	+	0.640323i	$0.221200\pi$
$752$	2.39891	−	4.70813i	0.0874794	−	0.171688i
$753$	0.184132	+	1.27490i	0.00671014	+	0.0464599i
$754$	19.7483	+	27.1812i	0.719190	+	0.989880i
$755$	3.09930	+	5.07067i	0.112795	+	0.184540i
$756$	−21.1993	+	5.94088i	−0.771011	+	0.216068i
$757$	−16.3801	+	16.3801i	−0.595345	+	0.595345i	−0.939070	−	0.343725i	$-0.888311\pi$
$757$	−16.3801	+	16.3801i	−0.595345	+	0.595345i	0.343725	+	0.939070i	$0.388311\pi$
$758$	12.5570	−	1.98883i	0.456091	−	0.0722377i
$759$	−27.8453	−	0.379914i	−1.01072	−	0.0137900i
$760$	48.0322	−	3.72469i	1.74231	−	0.135109i
$761$	18.1357	−	5.89265i	0.657420	−	0.213609i	0.0387367	−	0.999249i	$-0.487667\pi$
$761$	18.1357	−	5.89265i	0.657420	−	0.213609i	0.618683	+	0.785641i	$0.287667\pi$
$762$	58.7910	−	57.2083i	2.12977	−	2.07244i
$763$	−12.9655	+	6.60624i	−0.469382	+	0.239162i
$764$	22.8586	+	70.3514i	0.826994	+	2.54522i
$765$	2.21304	−	3.39103i	0.0800128	−	0.122603i
$766$	−16.3549	+	50.3353i	−0.590928	+	1.81869i
$767$	−2.29072	−	14.4630i	−0.0827130	−	0.522229i
$768$	−49.6677	−	26.1665i	−1.79223	−	0.944203i
$769$	−4.54034	+	6.24925i	−0.163729	+	0.225354i	−0.882996	−	0.469380i	$-0.844478\pi$
$769$	−4.54034	+	6.24925i	−0.163729	+	0.225354i	0.719267	+	0.694733i	$0.244478\pi$
$770$	11.1525	−	26.8372i	0.401907	−	0.967146i
$771$	17.7787	+	13.2913i	0.640282	+	0.478673i
$772$	−8.66870	+	54.7320i	−0.311993	+	1.96985i
$773$	−5.67394	−	2.89102i	−0.204078	−	0.103983i	0.348965	−	0.937136i	$-0.386533\pi$
$773$	−5.67394	−	2.89102i	−0.204078	−	0.103983i	−0.553042	+	0.833153i	$0.686533\pi$
$774$	49.1478	−	33.6984i	1.76658	−	1.21126i
$775$	24.8533	−	12.5915i	0.892757	−	0.452301i
$776$		−	23.6770i		−	0.849956i
$777$	12.9100	+	2.22570i	0.463145	+	0.0798466i
$778$	35.4153	+	5.60923i	1.26970	+	0.201101i
$779$	7.15999	−	5.20204i	0.256533	−	0.186382i
$780$	19.4308	+	86.5557i	0.695733	+	3.09919i
$781$	58.8040	+	42.7236i	2.10417	+	1.52877i
$782$	3.29320	+	3.29320i	0.117765	+	0.117765i
$783$	−6.33711	+	11.2718i	−0.226470	+	0.402822i
$784$	5.20994	+	1.69281i	0.186069	+	0.0604575i
$785$	17.3997	+	4.19845i	0.621021	+	0.149849i
$786$	47.4712	+	67.2491i	1.69324	+	2.39870i
$787$	9.26172	+	18.1772i	0.330145	+	0.647946i	0.995093	−	0.0989438i	$-0.0315464\pi$
$787$	9.26172	+	18.1772i	0.330145	+	0.647946i	−0.664948	+	0.746889i	$0.731546\pi$
$788$	−16.8411	−	33.0525i	−0.599938	−	1.17744i
$789$	−5.86654	−	8.31071i	−0.208854	−	0.295869i
$790$	52.5629	+	61.6866i	1.87010	+	2.19471i
$791$	−14.0039	−	4.55013i	−0.497920	−	0.161784i
$792$	63.3352	−	59.9699i	2.25052	−	2.13094i
$793$	−2.78905	−	2.78905i	−0.0990422	−	0.0990422i
$794$	16.5090	+	11.9945i	0.585882	+	0.425668i
$795$	−15.1777	+	8.99487i	−0.538299	+	0.319015i
$796$	61.6722	−	44.8075i	2.18591	−	1.58816i
$797$	−25.4031	−	4.02346i	−0.899825	−	0.142518i	−0.310650	−	0.950524i	$-0.600547\pi$
$797$	−25.4031	−	4.02346i	−0.899825	−	0.142518i	−0.589174	+	0.808006i	$0.700547\pi$
$798$	16.4395	+	2.83418i	0.581951	+	0.100329i
$799$			0.582254i			0.0205987i
$800$	11.9332	−	3.84705i	0.421903	−	0.136014i
$801$	17.4918	+	25.5111i	0.618042	+	0.901391i
$802$	11.5897	+	5.90527i	0.409248	+	0.208522i
$803$	−1.74550	+	11.0207i	−0.0615975	+	0.388911i
$804$	66.9157	+	50.0260i	2.35994	+	1.76428i
$805$	−5.24782	−	4.49250i	−0.184961	−	0.158340i
$806$	44.2183	−	60.8612i	1.55752	−	2.14375i
$807$	−12.6910	−	6.68601i	−0.446743	−	0.235359i
$808$	11.8698	+	74.9431i	0.417579	+	2.63649i
$809$	−1.02823	+	3.16456i	−0.0361506	+	0.111260i	−0.967503	−	0.252858i	$-0.918630\pi$
$809$	−1.02823	+	3.16456i	−0.0361506	+	0.111260i	0.931353	+	0.364118i	$0.118630\pi$
$810$	−39.9758	+	30.4616i	−1.40461	+	1.07031i
$811$	−0.754929	−	2.32343i	−0.0265091	−	0.0815867i	0.936927	−	0.349526i	$-0.113657\pi$
$811$	−0.754929	−	2.32343i	−0.0265091	−	0.0815867i	−0.963436	+	0.267939i	$0.913657\pi$
$812$	9.39487	−	4.78693i	0.329695	−	0.167988i
$813$	22.2947	−	21.6946i	0.781911	−	0.760862i
$814$	−93.4927	+	30.3776i	−3.27692	+	1.06473i
$815$	−12.3255	−	7.57255i	−0.431742	−	0.265255i
$816$	−5.72687	−	0.0781358i	−0.200480	−	0.00273530i
$817$	−30.2964	+	4.79849i	−1.05994	+	0.167878i
$818$	21.4507	−	21.4507i	0.750008	−	0.750008i
$819$	−0.442459	+	16.2117i	−0.0154608	+	0.566484i
$820$	14.1392	−	16.5164i	0.493762	−	0.576777i
$821$	17.3251	+	23.8459i	0.604650	+	0.832229i	0.996124	−	0.0879599i	$-0.0280347\pi$
$821$	17.3251	+	23.8459i	0.604650	+	0.832229i	−0.391474	+	0.920189i	$0.628035\pi$
$822$	3.38111	+	23.4102i	0.117930	+	0.816525i
$823$	−15.7327	+	30.8772i	−0.548408	+	1.07631i	0.435923	+	0.899984i	$0.356422\pi$
$823$	−15.7327	+	30.8772i	−0.548408	+	1.07631i	−0.984331	+	0.176328i	$0.943578\pi$
$824$	−90.5782			−3.15544
$825$	0.718429	−	45.0643i	0.0250125	−	1.56894i
$826$	−6.76482			−0.235378
$827$	−9.88452	+	19.3995i	−0.343718	+	0.674585i	−0.996557	−	0.0829118i	$-0.973578\pi$
$827$	−9.88452	+	19.3995i	−0.343718	+	0.674585i	0.652839	+	0.757497i	$0.273578\pi$
$828$	−16.8667	−	35.4625i	−0.586157	−	1.23241i
$829$	−20.6339	−	28.4002i	−0.716646	−	0.986378i	−0.999629	−	0.0272533i	$-0.991324\pi$
$829$	−20.6339	−	28.4002i	−0.716646	−	0.986378i	0.282983	−	0.959125i	$-0.408676\pi$
$830$	18.4992	−	4.41880i	0.642118	−	0.153379i
$831$	−13.0672	−	4.44378i	−0.453296	−	0.154153i
$832$	−17.9417	+	17.9417i	−0.622016	+	0.622016i
$833$	−0.596198	+	0.0944286i	−0.0206571	+	0.00327176i
$834$	0.0149043	−	1.09239i	0.000516094	−	0.0378264i
$835$	10.9158	−	9.30133i	0.377758	−	0.321886i
$836$	−80.8760	+	26.2782i	−2.79715	+	0.908850i
$837$	28.3882	+	5.69573i	0.981240	+	0.196873i
$838$	−17.7235	+	9.03055i	−0.612247	+	0.311955i
$839$	−2.11708	−	6.51570i	−0.0730897	−	0.224947i	0.907838	−	0.419322i	$-0.137732\pi$
$839$	−2.11708	−	6.51570i	−0.0730897	−	0.224947i	−0.980927	+	0.194375i	$0.937732\pi$
$840$	21.5930	−	1.37837i	0.745028	−	0.0475584i
$841$	−7.04773	+	21.6907i	−0.243025	+	0.747954i
$842$	−12.3657	−	78.0741i	−0.426151	−	2.69061i
$843$	−10.5689	+	20.0613i	−0.364013	+	0.690948i
$844$	−4.60739	+	6.34153i	−0.158593	+	0.218284i
$845$	36.1628	+	2.88789i	1.24404	+	0.0993465i
$846$	2.41991	−	6.80968i	0.0831983	−	0.234122i
$847$	−2.51610	+	15.8860i	−0.0864541	+	0.545850i
$848$	22.2347	+	11.3291i	0.763542	+	0.389044i
$849$	−11.6504	−	37.5939i	−0.399842	−	1.29022i
$850$	−5.34206	+	5.31756i	−0.183231	+	0.182391i
$851$			23.3670i			0.801009i
$852$	−17.4136	+	101.007i	−0.596580	+	3.46043i
$853$	18.3425	+	2.90516i	0.628034	+	0.0994708i	0.462335	−	0.886705i	$-0.347012\pi$
$853$	18.3425	+	2.90516i	0.628034	+	0.0994708i	0.165699	+	0.986176i	$0.447012\pi$
$854$	−1.47417	+	1.07105i	−0.0504450	+	0.0366504i
$855$	25.3173	−	5.32172i	0.865834	−	0.181999i
$856$	−56.5007	−	41.0502i	−1.93115	−	1.40307i
$857$	23.7316	+	23.7316i	0.810655	+	0.810655i	0.984732	−	0.174077i	$-0.0556941\pi$
$857$	23.7316	+	23.7316i	0.810655	+	0.810655i	−0.174077	+	0.984732i	$0.555694\pi$
$858$	−53.7642	−	109.175i	−1.83548	−	3.72718i
$859$	−16.7724	−	5.44968i	−0.572267	−	0.185941i	0.00856661	−	0.999963i	$-0.497273\pi$
$859$	−16.7724	−	5.44968i	−0.572267	−	0.185941i	−0.580833	+	0.814023i	$0.697273\pi$
$860$	−69.6522	+	28.7572i	−2.37512	+	0.980612i
$861$	3.24725	−	2.29224i	0.110666	−	0.0781194i
$862$	−7.74017	−	15.1909i	−0.263631	−	0.517405i
$863$	−20.5269	−	40.2864i	−0.698745	−	1.37136i	−0.918347	−	0.395775i	$-0.870476\pi$
$863$	−20.5269	−	40.2864i	−0.698745	−	1.37136i	0.219602	−	0.975589i	$-0.429524\pi$
$864$	12.2170	+	4.53014i	0.415632	+	0.154118i
$865$	−3.97901	−	51.3118i	−0.135290	−	1.74465i
$866$	73.7625	+	23.9669i	2.50655	+	0.814428i
$867$	−25.8493	+	12.7297i	−0.877889	+	0.432324i
$868$	−16.6943	−	16.6943i	−0.566641	−	0.566641i
$869$	−61.1029	−	44.3938i	−2.07277	−	1.50596i
$870$	15.9016	−	18.0702i	0.539115	−	0.612636i
$871$	49.7906	−	36.1750i	1.68709	−	1.22574i
$872$	80.2929	+	12.7172i	2.71906	+	0.430657i
$873$	−1.64563	−	12.6075i	−0.0556963	−	0.426701i
$874$			29.7551i			1.00648i
$875$	7.29031	−	8.47652i	0.246458	−	0.286559i
$876$	−15.0292	+	4.65758i	−0.507790	+	0.157365i
$877$	14.2072	+	7.23893i	0.479743	+	0.244441i	0.677101	−	0.735890i	$-0.263236\pi$
$877$	14.2072	+	7.23893i	0.479743	+	0.244441i	−0.197358	+	0.980332i	$0.563236\pi$
$878$	−14.4823	+	91.4375i	−0.488753	+	3.08587i
$879$	11.9452	−	15.9782i	0.402902	−	0.538930i
$880$	−54.3925	+	33.2459i	−1.83357	+	1.12072i
$881$	−9.98929	+	13.7491i	−0.336548	+	0.463218i	−0.943429	−	0.331574i	$-0.892420\pi$
$881$	−9.98929	+	13.7491i	−0.336548	+	0.463218i	0.606881	+	0.794792i	$0.292420\pi$
$882$	7.36521	+	1.37349i	0.248000	+	0.0462477i
$883$	4.28979	+	27.0847i	0.144363	+	0.911473i	0.948442	+	0.316950i	$0.102659\pi$
$883$	4.28979	+	27.0847i	0.144363	+	0.911473i	−0.804079	+	0.594522i	$0.797341\pi$
$884$	−4.27248	+	13.1493i	−0.143699	+	0.442260i
$885$	−9.75070	+	3.87091i	−0.327766	+	0.130119i
$886$	−0.474625	−	1.46074i	−0.0159453	−	0.0490747i
$887$	−11.1207	+	5.66627i	−0.373396	+	0.190255i	−0.630610	−	0.776100i	$-0.717195\pi$
$887$	−11.1207	+	5.66627i	−0.373396	+	0.190255i	0.257215	+	0.966354i	$0.417195\pi$
$888$	−51.0406	−	52.4527i	−1.71281	−	1.76020i
$889$	−18.0360	+	5.86024i	−0.604907	+	0.196546i
$890$	−21.9730	−	53.2205i	−0.736538	−	1.78395i
$891$	29.5566	−	36.3348i	0.990183	−	1.21726i
$892$	−114.856	+	18.1914i	−3.84567	+	0.609094i
$893$	−2.63043	+	2.63043i	−0.0880240	+	0.0880240i
$894$	25.9644	−	76.3501i	0.868381	−	2.55353i
$895$	−19.3748	−	8.05142i	−0.647629	−	0.269129i
$896$	9.83779	+	13.5406i	0.328657	+	0.452358i
$897$	−28.6301	+	4.13500i	−0.955930	+	0.138064i
$898$	−4.75994	+	9.34190i	−0.158841	+	0.311743i
$899$	−13.8669			−0.462487
$900$	57.4564	−	27.1656i	1.91521	−	0.905520i
$901$	−2.74976			−0.0916078
$902$	−13.5408	+	26.5754i	−0.450860	+	0.884863i
$903$	−13.6348	+	1.96926i	−0.453738	+	0.0655328i
$904$	48.3515	+	66.5501i	1.60815	+	2.21342i
$905$	3.57864	−	44.8126i	0.118958	−	1.48962i
$906$	3.70137	−	10.8841i	0.122970	−	0.361601i
$907$	13.9533	−	13.9533i	0.463312	−	0.463312i	−0.436428	−	0.899739i	$-0.643756\pi$
$907$	13.9533	−	13.9533i	0.463312	−	0.463312i	0.899739	+	0.436428i	$0.143756\pi$
$908$	30.5271	−	4.83503i	1.01308	−	0.160456i
$909$	11.5292	+	39.0807i	0.382400	+	1.29622i
$910$	7.08110	−	29.3463i	0.234736	−	0.972821i
$911$	−38.8987	+	12.6390i	−1.28877	+	0.418747i	−0.871661	−	0.490109i	$-0.836957\pi$
$911$	−38.8987	+	12.6390i	−1.28877	+	0.418747i	−0.417110	+	0.908856i	$0.636957\pi$
$912$	−25.5191	−	26.2251i	−0.845021	−	0.868399i
$913$	−15.7931	+	8.04700i	−0.522676	+	0.266317i
$914$	3.94300	+	12.1353i	0.130423	+	0.401401i
$915$	−1.51198	+	2.38732i	−0.0499844	+	0.0789224i
$916$	10.7264	−	33.0124i	0.354409	−	1.09076i
$917$	−2.97694	−	18.7957i	−0.0983072	−	0.620687i
$918$	−7.78043	+	0.907791i	−0.256793	+	0.0299616i
$919$	−25.4767	+	35.0657i	−0.840400	+	1.15671i	0.145497	+	0.989359i	$0.453522\pi$
$919$	−25.4767	+	35.0657i	−0.840400	+	1.15671i	−0.985897	+	0.167353i	$0.946478\pi$
$920$	8.96625	+	37.5371i	0.295609	+	1.23756i
$921$	−14.1474	+	18.9238i	−0.466171	+	0.623560i
$922$	5.90681	−	37.2941i	0.194530	−	1.22822i
$923$	67.2734	+	34.2775i	2.21433	+	1.12826i
$924$	−36.4805	+	11.3054i	−1.20012	+	0.371920i
$925$	−37.8178	−	0.0869092i	−1.24344	−	0.00285756i
$926$			4.44726i			0.146146i
$927$	−48.2311	+	6.29549i	−1.58412	+	0.206771i
$928$	−6.16357	−	0.976213i	−0.202329	−	0.0320458i
$929$	−31.1785	+	22.6525i	−1.02293	+	0.743204i	−0.966882	−	0.255224i	$-0.917851\pi$
$929$	−31.1785	+	22.6525i	−1.02293	+	0.743204i	−0.0560504	+	0.998428i	$0.517851\pi$
$930$	−49.4831	−	21.3595i	−1.62262	−	0.700405i
$931$	−3.12002	−	2.26683i	−0.102255	−	0.0742923i
$932$	83.9300	+	83.9300i	2.74922	+	2.74922i
$933$	−42.3239	+	20.8428i	−1.38562	+	0.682361i
$934$	47.2341	+	15.3473i	1.54555	+	0.502178i
$935$	3.67715	−	5.98511i	0.120256	−	0.195734i
$936$	55.2348	−	71.8189i	1.80541	−	2.34747i
$937$	−1.14699	−	2.25110i	−0.0374707	−	0.0735404i	0.871512	−	0.490374i	$-0.163140\pi$
$937$	−1.14699	−	2.25110i	−0.0374707	−	0.0735404i	−0.908983	+	0.416834i	$0.863140\pi$
$938$	−12.9079	−	25.3331i	−0.421457	−	0.827155i
$939$	23.6368	−	16.6853i	0.771358	−	0.544503i
$940$	−4.78390	+	7.78651i	−0.156034	+	0.253968i
$941$	46.7949	+	15.2046i	1.52547	+	0.495655i	0.947323	−	0.320279i	$-0.103777\pi$
$941$	46.7949	+	15.2046i	1.52547	+	0.495655i	0.578145	+	0.815934i	$0.303777\pi$
$942$	−15.2972	−	31.0629i	−0.498409	−	1.01208i
$943$	5.01320	+	5.01320i	0.163252	+	0.163252i
$944$	12.0047	+	8.72196i	0.390721	+	0.283875i
$945$	11.4020	−	2.23474i	0.370908	−	0.0726961i
$946$	83.6322	−	60.7623i	2.71912	−	1.97555i
$947$	−28.2670	−	4.47705i	−0.918554	−	0.145485i	−0.320784	−	0.947152i	$-0.603946\pi$
$947$	−28.2670	−	4.47705i	−0.918554	−	0.145485i	−0.597770	+	0.801668i	$0.703946\pi$
$948$	18.0944	−	104.955i	0.587678	−	3.40879i
$949$			11.5905i			0.376243i
$950$	−48.1566	−	0.110669i	−1.56241	−	0.00359057i
$951$	−14.4945	−	46.7711i	−0.470015	−	1.51666i
$952$	3.00470	+	1.53097i	0.0973830	+	0.0496191i
$953$	2.73238	−	17.2516i	0.0885106	−	0.558834i	−0.903085	−	0.429461i	$-0.858704\pi$
$953$	2.73238	−	17.2516i	0.0885106	−	0.558834i	0.991596	−	0.129373i	$-0.0412964\pi$
$954$	32.1595	+	11.4283i	1.04120	+	0.370005i
$955$	−9.06977	−	37.9705i	−0.293491	−	1.22870i
$956$	−19.4958	+	26.8337i	−0.630539	+	0.867863i
$957$	−10.4557	+	19.8464i	−0.337985	+	0.641543i
$958$	−7.51552	−	47.4511i	−0.242815	−	1.53308i
$959$	1.68975	−	5.20052i	0.0545649	−	0.167934i
$960$	15.3574	+	9.72638i	0.495658	+	0.313917i
$961$	0.0152360	+	0.0468917i	0.000491485	+	0.00151264i
$962$	−90.9840	+	46.3587i	−2.93344	+	1.49466i
$963$	−32.9386	−	17.9314i	−1.06143	−	0.577831i
$964$	2.26821	−	0.736987i	0.0730542	−	0.0237368i
$965$	6.85975	−	28.4290i	0.220823	−	0.915161i
$966$	−0.182312	+	13.3623i	−0.00586579	+	0.429926i
$967$	56.1790	−	8.89787i	1.80659	−	0.286136i	0.840026	−	0.542547i	$-0.182540\pi$
$967$	56.1790	−	8.89787i	1.80659	−	0.286136i	0.966568	+	0.256410i	$0.0825398\pi$
$968$	63.5374	−	63.5374i	2.04217	−	2.04217i
$969$	3.81740	+	1.29819i	0.122633	+	0.0417038i
$970$	−1.88403	+	23.5923i	−0.0604926	+	0.757502i
$971$	−25.1747	−	34.6500i	−0.807895	−	1.11197i	−0.991645	−	0.128998i	$-0.958824\pi$
$971$	−25.1747	−	34.6500i	−0.807895	−	1.11197i	0.183750	−	0.982973i	$-0.441176\pi$
$972$	64.3789	+	14.7547i	2.06495	+	0.473256i
$973$	−0.114662	+	0.225036i	−0.00367588	+	0.00721432i
$974$	−5.94865			−0.190607
$975$	−6.58573	−	46.3511i	−0.210912	−	1.48442i
$976$	3.99694			0.127939
$977$	12.3450	−	24.2284i	0.394952	−	0.775136i	−0.604823	−	0.796360i	$-0.706756\pi$
$977$	12.3450	−	24.2284i	0.394952	−	0.775136i	0.999775	+	0.0212237i	$0.00675621\pi$
$978$	4.00015	+	27.6964i	0.127911	+	0.885634i
$979$	31.5399	+	43.4109i	1.00802	+	1.38742i
$980$	−8.74883	−	3.63567i	−0.279471	−	0.116137i
$981$	43.6383	+	1.19100i	1.39326	+	0.0380257i
$982$	10.0193	−	10.0193i	0.319730	−	0.319730i
$983$	−7.84505	+	1.24253i	−0.250218	+	0.0396307i	−0.280284	−	0.959917i	$-0.590429\pi$
$983$	−7.84505	+	1.24253i	−0.250218	+	0.0396307i	0.0300652	+	0.999548i	$0.490429\pi$
$984$	−22.2037	−	0.302941i	−0.707827	−	0.00965740i
$985$	7.47109	+	18.0956i	0.238049	+	0.576574i
$986$	3.56794	−	1.15929i	0.113626	−	0.0369195i
$987$	−1.19738	+	1.16515i	−0.0381131	+	0.0370871i
$988$	−78.7059	+	40.1027i	−2.50397	+	1.27584i
$989$	−7.59328	−	23.3697i	−0.241452	−	0.743113i
$990$	−67.8803	+	54.7154i	−2.15738	+	1.73897i
$991$	4.57317	−	14.0748i	0.145272	−	0.447100i	−0.851774	−	0.523909i	$-0.824473\pi$
$991$	4.57317	−	14.0748i	0.145272	−	0.447100i	0.997046	+	0.0768090i	$0.0244732\pi$
$992$	2.18583	+	13.8008i	0.0694003	+	0.438176i
$993$	−0.132293	−	0.0696961i	−0.00419819	−	0.00221174i
$994$	20.5021	−	28.2187i	0.650287	−	0.895043i
$995$	−34.3267	+	20.9812i	−1.08823	+	0.665148i
$996$	−20.0188	−	14.9660i	−0.634320	−	0.474216i
$997$	3.73090	−	23.5560i	0.118159	−	0.746025i	−0.855464	−	0.517862i	$-0.826728\pi$
$997$	3.73090	−	23.5560i	0.118159	−	0.746025i	0.973623	−	0.228163i	$-0.0732718\pi$
$998$	−95.2728	−	48.5439i	−3.01581	−	1.53663i
$999$	−30.8237	−	24.3825i	−0.975220	−	0.771428i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.bk.a.8.5	✓	480
3.2	odd	2	inner	525.2.bk.a.8.56	yes	480
25.22	odd	20	inner	525.2.bk.a.197.56	yes	480
75.47	even	20	inner	525.2.bk.a.197.5	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.bk.a.8.5	✓	480	1.1	even	1	trivial
525.2.bk.a.8.56	yes	480	3.2	odd	2	inner
525.2.bk.a.197.5	yes	480	75.47	even	20	inner
525.2.bk.a.197.56	yes	480	25.22	odd	20	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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.13379 + 2.22520i) q^{2} +(-1.71426 + 0.247589i) q^{3} +(-2.49044 - 3.42779i) q^{4} +(1.16615 + 1.90790i) q^{5} +(1.39269 - 4.09529i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(5.51785 - 0.873941i) q^{8} +(2.87740 - 0.848865i) q^{9} +O(q^{10})\)	\(q+(-1.13379 + 2.22520i) q^{2} +(-1.71426 + 0.247589i) q^{3} +(-2.49044 - 3.42779i) q^{4} +(1.16615 + 1.90790i) q^{5} +(1.39269 - 4.09529i) q^{6} +(-0.707107 + 0.707107i) q^{7} +(5.51785 - 0.873941i) q^{8} +(2.87740 - 0.848865i) q^{9} +(-5.56763 + 0.431745i) q^{10} +(4.94952 - 1.60820i) q^{11} +(5.11795 + 5.25953i) q^{12} +(4.81671 - 2.45424i) q^{13} +(-0.771737 - 2.37516i) q^{14} +(-2.47147 - 2.98192i) q^{15} +(-1.69281 + 5.20994i) q^{16} +(-0.0944286 - 0.596198i) q^{17} +(-1.37349 + 7.36521i) q^{18} +(2.26683 - 3.12002i) q^{19} +(3.63567 - 8.74883i) q^{20} +(1.03710 - 1.38724i) q^{21} +(-2.03318 + 12.8370i) q^{22} +(2.75268 + 1.40256i) q^{23} +(-9.24267 + 2.86432i) q^{24} +(-2.28018 + 4.44980i) q^{25} +13.5007i q^{26} +(-4.72245 + 2.16759i) q^{27} +(4.18482 + 0.662810i) q^{28} +(2.01331 - 1.46276i) q^{29} +(9.43749 - 2.11861i) q^{30} +(-4.50800 - 3.27525i) q^{31} +(-1.77314 - 1.77314i) q^{32} +(-8.08661 + 3.98232i) q^{33} +(1.43372 + 0.465844i) q^{34} +(-2.17368 - 0.524498i) q^{35} +(-10.0757 - 7.74908i) q^{36} +(3.43379 + 6.73920i) q^{37} +(4.37254 + 8.58160i) q^{38} +(-7.64947 + 5.39977i) q^{39} +(8.10204 + 9.50837i) q^{40} +(2.18253 + 0.709148i) q^{41} +(1.91103 + 3.88058i) q^{42} +(-5.62415 - 5.62415i) q^{43} +(-17.8390 - 12.9608i) q^{44} +(4.97503 + 4.49989i) q^{45} +(-6.24194 + 4.53504i) q^{46} +(-0.952712 - 0.150895i) q^{47} +(1.61200 - 9.35032i) q^{48} -1.00000i q^{49} +(-7.31642 - 10.1190i) q^{50} +(0.309487 + 0.998662i) q^{51} +(-20.4083 - 10.3986i) q^{52} +(0.712618 - 4.49929i) q^{53} +(0.530976 - 12.9660i) q^{54} +(8.84017 + 7.56780i) q^{55} +(-3.28374 + 4.51968i) q^{56} +(-3.11346 + 5.90978i) q^{57} +(0.972239 + 6.13848i) q^{58} +(0.837050 - 2.57618i) q^{59} +(-4.06638 + 15.8979i) q^{60} +(-0.225468 - 0.693918i) q^{61} +(12.3992 - 6.31771i) q^{62} +(-1.43439 + 2.63487i) q^{63} +(-4.46390 + 1.45041i) q^{64} +(10.2995 + 6.32781i) q^{65} +(0.307112 - 22.5094i) q^{66} +(11.2445 - 1.78095i) q^{67} +(-1.80847 + 1.80847i) q^{68} +(-5.06608 - 1.72283i) q^{69} +(3.63162 - 4.24220i) q^{70} +(8.20939 + 11.2993i) q^{71} +(15.1352 - 7.19858i) q^{72} +(-0.973371 + 1.91035i) q^{73} -18.8892 q^{74} +(2.80712 - 8.19269i) q^{75} -16.3402 q^{76} +(-2.36267 + 4.63701i) q^{77} +(-3.34263 - 23.1438i) q^{78} +(-8.53033 - 11.7410i) q^{79} +(-11.9141 + 2.84585i) q^{80} +(7.55886 - 4.88505i) q^{81} +(-4.05254 + 4.05254i) q^{82} +(-3.36396 + 0.532798i) q^{83} +(-7.33798 - 0.100117i) q^{84} +(1.02737 - 0.875418i) q^{85} +(18.8915 - 6.13821i) q^{86} +(-3.08918 + 3.00602i) q^{87} +(25.9052 - 13.1994i) q^{88} +(3.18616 + 9.80599i) q^{89} +(-15.6538 + 5.96847i) q^{90} +(-1.67052 + 5.14134i) q^{91} +(-2.04769 - 12.9286i) q^{92} +(8.53881 + 4.49852i) q^{93} +(1.41595 - 1.94889i) q^{94} +(8.59616 + 0.686472i) q^{95} +(3.47864 + 2.60062i) q^{96} +(0.662995 - 4.18599i) q^{97} +(2.22520 + 1.13379i) q^{98} +(12.8766 - 8.82890i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 4 q^{3}+O(q^{10}) \) 480 * q + 4 * q^3	\( 480 q + 4 q^{3} + 16 q^{10} - 16 q^{12} + 8 q^{13} + 16 q^{15} + 120 q^{16} + 20 q^{18} - 40 q^{19} - 48 q^{22} - 104 q^{25} + 16 q^{27} - 20 q^{30} - 28 q^{33} - 80 q^{34} + 16 q^{37} - 40 q^{39} - 64 q^{40} - 80 q^{42} + 40 q^{43} - 20 q^{45} - 276 q^{48} - 260 q^{54} - 40 q^{55} - 4 q^{57} - 40 q^{58} - 52 q^{60} - 32 q^{63} + 160 q^{64} + 56 q^{67} + 8 q^{70} + 288 q^{72} + 48 q^{73} + 60 q^{75} + 140 q^{78} + 80 q^{79} - 40 q^{81} - 184 q^{85} + 96 q^{87} - 56 q^{88} + 24 q^{90} + 96 q^{93} - 560 q^{94} - 24 q^{97}+O(q^{100}) \) 480 * q + 4 * q^3 + 16 * q^10 - 16 * q^12 + 8 * q^13 + 16 * q^15 + 120 * q^16 + 20 * q^18 - 40 * q^19 - 48 * q^22 - 104 * q^25 + 16 * q^27 - 20 * q^30 - 28 * q^33 - 80 * q^34 + 16 * q^37 - 40 * q^39 - 64 * q^40 - 80 * q^42 + 40 * q^43 - 20 * q^45 - 276 * q^48 - 260 * q^54 - 40 * q^55 - 4 * q^57 - 40 * q^58 - 52 * q^60 - 32 * q^63 + 160 * q^64 + 56 * q^67 + 8 * q^70 + 288 * q^72 + 48 * q^73 + 60 * q^75 + 140 * q^78 + 80 * q^79 - 40 * q^81 - 184 * q^85 + 96 * q^87 - 56 * q^88 + 24 * q^90 + 96 * q^93 - 560 * q^94 - 24 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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