LMFDB - Embedded newform 700.2.bj.a.323.72

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [700,2,Mod(127,700)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(700, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 1, 0]))

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

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

chi := DirichletCharacter("700.127");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 700 = 2^{2} \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	700.bj (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:	$5.58952814149$
Analytic rank:	$0$
Dimension:	$720$
Relative dimension:	$90$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			323.72
Character	$\chi$	$=$	700.323
Dual form			700.2.bj.a.687.72

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.13873 + 0.838622i) q^{2} +(-0.601550 - 1.18061i) q^{3} +(0.593427 + 1.90993i) q^{4} +(-2.23175 - 0.138830i) q^{5} +(0.305079 - 1.84887i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-0.925956 + 2.67257i) q^{8} +(0.731381 - 1.00666i) q^{9} +O(q^{10})$	\(q+(1.13873 + 0.838622i) q^{2} +(-0.601550 - 1.18061i) q^{3} +(0.593427 + 1.90993i) q^{4} +(-2.23175 - 0.138830i) q^{5} +(0.305079 - 1.84887i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-0.925956 + 2.67257i) q^{8} +(0.731381 - 1.00666i) q^{9} +(-2.42495 - 2.02969i) q^{10} +(1.48866 + 2.04896i) q^{11} +(1.89791 - 1.84953i) q^{12} +(0.469492 + 2.96425i) q^{13} +(0.212211 + 1.39820i) q^{14} +(1.17861 + 2.71834i) q^{15} +(-3.29569 + 2.26681i) q^{16} +(3.39902 + 1.73189i) q^{17} +(1.67706 - 0.532965i) q^{18} +(0.631085 + 1.94228i) q^{19} +(-1.05923 - 4.34489i) q^{20} +(0.409456 - 1.26018i) q^{21} +(-0.0231196 + 3.58164i) q^{22} +(-0.787025 + 4.96908i) q^{23} +(3.71226 - 0.514490i) q^{24} +(4.96145 + 0.619670i) q^{25} +(-1.95126 + 3.76922i) q^{26} +(-5.55458 - 0.879759i) q^{27} +(-0.930910 + 1.77014i) q^{28} +(7.44062 + 2.41760i) q^{29} +(-0.937540 + 4.08387i) q^{30} +(-2.98663 + 0.970414i) q^{31} +(-5.65391 - 0.182542i) q^{32} +(1.52352 - 2.99008i) q^{33} +(2.41818 + 4.82265i) q^{34} +(-1.47992 - 1.67626i) q^{35} +(2.35668 + 0.799510i) q^{36} +(6.27964 - 0.994597i) q^{37} +(-0.910200 + 2.74098i) q^{38} +(3.21720 - 2.33743i) q^{39} +(2.43754 - 5.83596i) q^{40} +(-7.63890 - 5.54999i) q^{41} +(1.52307 - 1.09163i) q^{42} +(-8.51143 + 8.51143i) q^{43} +(-3.02997 + 4.05915i) q^{44} +(-1.77202 + 2.14508i) q^{45} +(-5.06339 + 4.99844i) q^{46} +(11.4326 - 5.82519i) q^{47} +(4.65874 + 2.52732i) q^{48} +1.00000i q^{49} +(5.13010 + 4.86642i) q^{50} -5.05473i q^{51} +(-5.38292 + 2.65577i) q^{52} +(-3.45685 + 1.76135i) q^{53} +(-5.58740 - 5.66000i) q^{54} +(-3.03786 - 4.77945i) q^{55} +(-2.54454 + 1.23504i) q^{56} +(1.91344 - 1.91344i) q^{57} +(6.44542 + 8.99287i) q^{58} +(-8.24136 - 5.98770i) q^{59} +(-4.49243 + 3.86420i) q^{60} +(8.05999 - 5.85593i) q^{61} +(-4.21478 - 1.39961i) q^{62} +(1.22898 - 0.194651i) q^{63} +(-6.28521 - 4.94936i) q^{64} +(-0.636262 - 6.68067i) q^{65} +(4.24242 - 2.12724i) q^{66} +(-0.561137 + 1.10129i) q^{67} +(-1.29072 + 7.51965i) q^{68} +(6.33998 - 2.05998i) q^{69} +(-0.279490 - 3.14990i) q^{70} +(1.80760 + 0.587326i) q^{71} +(2.01314 + 2.88679i) q^{72} +(12.0760 + 1.91265i) q^{73} +(7.98492 + 4.13366i) q^{74} +(-2.25297 - 6.23030i) q^{75} +(-3.33512 + 2.35793i) q^{76} +(-0.396195 + 2.50147i) q^{77} +(5.62376 + 0.0363016i) q^{78} +(1.09121 - 3.35841i) q^{79} +(7.66987 - 4.60143i) q^{80} +(1.14918 + 3.53680i) q^{81} +(-4.04433 - 12.7261i) q^{82} +(-7.27935 - 3.70901i) q^{83} +(2.64984 + 0.0342110i) q^{84} +(-7.34534 - 4.33704i) q^{85} +(-16.8301 + 2.55438i) q^{86} +(-1.62166 - 10.2388i) q^{87} +(-6.85442 + 2.08129i) q^{88} +(-6.01810 - 8.28320i) q^{89} +(-3.81677 + 0.956621i) q^{90} +(-1.76406 + 2.42803i) q^{91} +(-9.95766 + 1.44562i) q^{92} +(2.94228 + 2.94228i) q^{93} +(17.9038 + 2.95427i) q^{94} +(-1.13878 - 4.42230i) q^{95} +(3.18560 + 6.78486i) q^{96} +(4.16548 + 8.17521i) q^{97} +(-0.838622 + 1.13873i) q^{98} +3.15138 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 720 q+O(q^{10}) $ 720 * q	$ 720 q + 16 q^{10} + 16 q^{12} + 4 q^{13} + 20 q^{17} - 28 q^{18} - 20 q^{20} - 4 q^{22} + 20 q^{25} + 4 q^{30} - 20 q^{37} - 64 q^{40} - 80 q^{42} - 140 q^{44} - 20 q^{45} - 236 q^{48} - 40 q^{50} - 16 q^{52} + 44 q^{53} - 260 q^{54} + 16 q^{57} - 136 q^{58} - 140 q^{60} - 140 q^{62} - 4 q^{65} - 80 q^{68} - 80 q^{72} - 52 q^{73} + 76 q^{78} + 20 q^{80} + 180 q^{81} + 24 q^{82} - 80 q^{85} + 160 q^{88} - 260 q^{89} + 16 q^{90} + 256 q^{92} - 112 q^{93} + 320 q^{94} - 40 q^{96} - 20 q^{97}+O(q^{100}) $ 720 * q + 16 * q^10 + 16 * q^12 + 4 * q^13 + 20 * q^17 - 28 * q^18 - 20 * q^20 - 4 * q^22 + 20 * q^25 + 4 * q^30 - 20 * q^37 - 64 * q^40 - 80 * q^42 - 140 * q^44 - 20 * q^45 - 236 * q^48 - 40 * q^50 - 16 * q^52 + 44 * q^53 - 260 * q^54 + 16 * q^57 - 136 * q^58 - 140 * q^60 - 140 * q^62 - 4 * q^65 - 80 * q^68 - 80 * q^72 - 52 * q^73 + 76 * q^78 + 20 * q^80 + 180 * q^81 + 24 * q^82 - 80 * q^85 + 160 * q^88 - 260 * q^89 + 16 * q^90 + 256 * q^92 - 112 * q^93 + 320 * q^94 - 40 * q^96 - 20 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/700\mathbb{Z}\right)^\times$.

$n$	$101$	$351$	$477$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	1.13873	+	0.838622i	0.805206	+	0.592995i
$2$	1.13873	+	0.838622i	0.805206	+	0.592995i
$3$	−0.601550	−	1.18061i	−0.347305	−	0.681625i	0.649597	−	0.760279i	$-0.274938\pi$
$3$	−0.601550	−	1.18061i	−0.347305	−	0.681625i	−0.996902	+	0.0786541i	$0.974938\pi$
$4$	0.593427	+	1.90993i	0.296714	+	0.954967i
$5$	−2.23175	−	0.138830i	−0.998071	−	0.0620868i
$5$	−2.23175	−	0.138830i	−0.998071	−	0.0620868i
$6$	0.305079	−	1.84887i	0.124548	−	0.754799i
$7$	0.707107	+	0.707107i	0.267261	+	0.267261i
$7$	0.707107	+	0.707107i	0.267261	+	0.267261i
$8$	−0.925956	+	2.67257i	−0.327375	+	0.944895i
$9$	0.731381	−	1.00666i	0.243794	−	0.335553i
$10$	−2.42495	−	2.02969i	−0.766835	−	0.641844i
$11$	1.48866	+	2.04896i	0.448847	+	0.617785i	0.972149	−	0.234362i	$-0.0753001\pi$
$11$	1.48866	+	2.04896i	0.448847	+	0.617785i	−0.523302	+	0.852147i	$0.675300\pi$
$12$	1.89791	−	1.84953i	0.547879	−	0.533912i
$13$	0.469492	+	2.96425i	0.130214	+	0.822136i	0.963189	+	0.268826i	$0.0866357\pi$
$13$	0.469492	+	2.96425i	0.130214	+	0.822136i	−0.832975	+	0.553310i	$0.813364\pi$
$14$	0.212211	+	1.39820i	0.0567158	+	0.373685i
$15$	1.17861	+	2.71834i	0.304315	+	0.701873i
$16$	−3.29569	+	2.26681i	−0.823922	+	0.566703i
$17$	3.39902	+	1.73189i	0.824384	+	0.420045i	0.814682	−	0.579908i	$-0.196912\pi$
$17$	3.39902	+	1.73189i	0.824384	+	0.420045i	0.00970227	+	0.999953i	$0.496912\pi$
$18$	1.67706	−	0.532965i	0.395286	−	0.125621i
$19$	0.631085	+	1.94228i	0.144781	+	0.445589i	0.996983	−	0.0776236i	$-0.0247332\pi$
$19$	0.631085	+	1.94228i	0.144781	+	0.445589i	−0.852202	+	0.523213i	$0.824733\pi$
$20$	−1.05923	−	4.34489i	−0.236850	−	0.971546i
$21$	0.409456	−	1.26018i	0.0893507	−	0.274993i
$22$	−0.0231196	+	3.58164i	−0.00492912	+	0.763609i
$23$	−0.787025	+	4.96908i	−0.164106	+	1.03613i	0.758863	+	0.651251i	$0.225755\pi$
$23$	−0.787025	+	4.96908i	−0.164106	+	1.03613i	−0.922969	+	0.384875i	$0.874245\pi$
$24$	3.71226	−	0.514490i	0.757762	−	0.105020i
$25$	4.96145	+	0.619670i	0.992290	+	0.123934i
$26$	−1.95126	+	3.76922i	−0.382674	+	0.739205i
$27$	−5.55458	−	0.879759i	−1.06898	−	0.169310i
$28$	−0.930910	+	1.77014i	−0.175926	+	0.334526i
$29$	7.44062	+	2.41760i	1.38169	+	0.448938i	0.903224	−	0.429169i	$-0.141194\pi$
$29$	7.44062	+	2.41760i	1.38169	+	0.448938i	0.478464	+	0.878107i	$0.341194\pi$
$30$	−0.937540	+	4.08387i	−0.171171	+	0.745610i
$31$	−2.98663	+	0.970414i	−0.536414	+	0.174291i	−0.564681	−	0.825309i	$-0.691001\pi$
$31$	−2.98663	+	0.970414i	−0.536414	+	0.174291i	0.0282676	+	0.999600i	$0.491001\pi$
$32$	−5.65391	−	0.182542i	−0.999479	−	0.0322691i
$33$	1.52352	−	2.99008i	0.265211	−	0.520505i
$34$	2.41818	+	4.82265i	0.414715	+	0.827078i
$35$	−1.47992	−	1.67626i	−0.250152	−	0.283339i
$36$	2.35668	+	0.799510i	0.392779	+	0.133252i
$37$	6.27964	−	0.994597i	1.03237	−	0.163511i	0.382812	−	0.923826i	$-0.374956\pi$
$37$	6.27964	−	0.994597i	1.03237	−	0.163511i	0.649554	+	0.760315i	$0.274956\pi$
$38$	−0.910200	+	2.74098i	−0.147654	+	0.444646i
$39$	3.21720	−	2.33743i	0.515165	−	0.374289i
$40$	2.43754	−	5.83596i	0.385409	−	0.922746i
$41$	−7.63890	−	5.54999i	−1.19300	−	0.866762i	−0.199418	−	0.979914i	$-0.563905\pi$
$41$	−7.63890	−	5.54999i	−1.19300	−	0.866762i	−0.993578	+	0.113152i	$0.963905\pi$
$42$	1.52307	−	1.09163i	0.235015	−	0.168442i
$43$	−8.51143	+	8.51143i	−1.29798	+	1.29798i	−0.368257	+	0.929724i	$0.620045\pi$
$43$	−8.51143	+	8.51143i	−1.29798	+	1.29798i	−0.929724	+	0.368257i	$0.879955\pi$
$44$	−3.02997	+	4.05915i	−0.456785	+	0.611939i
$45$	−1.77202	+	2.14508i	−0.264157	+	0.319770i
$46$	−5.06339	+	4.99844i	−0.746557	+	0.736980i
$47$	11.4326	−	5.82519i	1.66761	−	0.849692i	0.673766	−	0.738945i	$-0.264676\pi$
$47$	11.4326	−	5.82519i	1.66761	−	0.849692i	0.993849	−	0.110747i	$-0.0353244\pi$
$48$	4.65874	+	2.52732i	0.672431	+	0.364787i
$49$			1.00000i			0.142857i
$50$	5.13010	+	4.86642i	0.725506	+	0.688216i
$51$		−	5.05473i		−	0.707804i
$52$	−5.38292	+	2.65577i	−0.746477	+	0.368289i
$53$	−3.45685	+	1.76135i	−0.474835	+	0.241940i	−0.674994	−	0.737823i	$-0.735854\pi$
$53$	−3.45685	+	1.76135i	−0.474835	+	0.241940i	0.200160	+	0.979763i	$0.435854\pi$
$54$	−5.58740	−	5.66000i	−0.760349	−	0.770229i
$55$	−3.03786	−	4.77945i	−0.409625	−	0.644461i
$56$	−2.54454	+	1.23504i	−0.340028	+	0.165039i
$57$	1.91344	−	1.91344i	0.253442	−	0.253442i
$58$	6.44542	+	8.99287i	0.846326	+	1.18082i
$59$	−8.24136	−	5.98770i	−1.07293	−	0.779532i	−0.0964961	−	0.995333i	$-0.530764\pi$
$59$	−8.24136	−	5.98770i	−1.07293	−	0.779532i	−0.976437	+	0.215802i	$0.930764\pi$
$60$	−4.49243	+	3.86420i	−0.579971	+	0.498866i
$61$	8.05999	−	5.85593i	1.03198	−	0.749774i	0.0632727	−	0.997996i	$-0.479846\pi$
$61$	8.05999	−	5.85593i	1.03198	−	0.749774i	0.968703	+	0.248222i	$0.0798462\pi$
$62$	−4.21478	−	1.39961i	−0.535278	−	0.177750i
$63$	1.22898	−	0.194651i	0.154837	−	0.0245238i
$64$	−6.28521	−	4.94936i	−0.785651	−	0.618670i
$65$	−0.636262	−	6.68067i	−0.0789186	−	0.828635i
$66$	4.24242	−	2.12724i	0.522206	−	0.261845i
$67$	−0.561137	+	1.10129i	−0.0685538	+	0.134545i	−0.922740	−	0.385422i	$-0.874056\pi$
$67$	−0.561137	+	1.10129i	−0.0685538	+	0.134545i	0.854186	+	0.519967i	$0.174056\pi$
$68$	−1.29072	+	7.51965i	−0.156523	+	0.911892i
$69$	6.33998	−	2.05998i	0.763244	−	0.247993i
$70$	−0.279490	−	3.14990i	−0.0334054	−	0.376485i
$71$	1.80760	+	0.587326i	0.214523	+	0.0697028i	0.414307	−	0.910137i	$-0.364024\pi$
$71$	1.80760	+	0.587326i	0.214523	+	0.0697028i	−0.199784	+	0.979840i	$0.564024\pi$
$72$	2.01314	+	2.88679i	0.237251	+	0.340211i
$73$	12.0760	+	1.91265i	1.41339	+	0.223859i	0.815981	−	0.578079i	$-0.196198\pi$
$73$	12.0760	+	1.91265i	1.41339	+	0.223859i	0.597407	+	0.801938i	$0.296198\pi$
$74$	7.98492	+	4.13366i	0.928229	+	0.480528i
$75$	−2.25297	−	6.23030i	−0.260151	−	0.719413i
$76$	−3.33512	+	2.35793i	−0.382564	+	0.270473i
$77$	−0.396195	+	2.50147i	−0.0451506	+	0.285069i
$78$	5.62376	+	0.0363016i	0.636765	+	0.00411034i
$79$	1.09121	−	3.35841i	0.122771	−	0.377851i	−0.870717	−	0.491784i	$-0.836345\pi$
$79$	1.09121	−	3.35841i	0.122771	−	0.377851i	0.993488	+	0.113933i	$0.0363450\pi$
$80$	7.66987	−	4.60143i	0.857517	−	0.514455i
$81$	1.14918	+	3.53680i	0.127686	+	0.392978i
$82$	−4.04433	−	12.7261i	−0.446622	−	1.40536i
$83$	−7.27935	−	3.70901i	−0.799012	−	0.407117i	0.00629094	−	0.999980i	$-0.497998\pi$
$83$	−7.27935	−	3.70901i	−0.799012	−	0.407117i	−0.805303	+	0.592863i	$0.797998\pi$
$84$	2.64984	+	0.0342110i	0.289121	+	0.00373272i
$85$	−7.34534	−	4.33704i	−0.796714	−	0.470418i
$86$	−16.8301	+	2.55438i	−1.81484	+	0.275446i
$87$	−1.62166	−	10.2388i	−0.173860	−	1.09771i
$88$	−6.85442	+	2.08129i	−0.730683	+	0.221866i
$89$	−6.01810	−	8.28320i	−0.637917	−	0.878018i	0.360585	−	0.932726i	$-0.382577\pi$
$89$	−6.01810	−	8.28320i	−0.637917	−	0.878018i	−0.998502	+	0.0547086i	$0.982577\pi$
$90$	−3.81677	+	0.956621i	−0.402323	+	0.100837i
$91$	−1.76406	+	2.42803i	−0.184924	+	0.254526i
$92$	−9.95766	+	1.44562i	−1.03816	+	0.150717i
$93$	2.94228	+	2.94228i	0.305101	+	0.305101i
$94$	17.9038	+	2.95427i	1.84664	+	0.304710i
$95$	−1.13878	−	4.42230i	−0.116836	−	0.453719i
$96$	3.18560	+	6.78486i	0.325129	+	0.692477i
$97$	4.16548	+	8.17521i	0.422940	+	0.830067i	0.999912	+	0.0133024i	$0.00423442\pi$
$97$	4.16548	+	8.17521i	0.422940	+	0.830067i	−0.576971	+	0.816764i	$0.695766\pi$
$98$	−0.838622	+	1.13873i	−0.0847136	+	0.115029i
$99$	3.15138			0.316726
$100$	1.76073	+	9.84377i	0.176073	+	0.984377i
$101$	−2.14247			−0.213184			−0.106592	−	0.994303i	$-0.533994\pi$
$101$	−2.14247			−0.213184			−0.106592	+	0.994303i	$0.533994\pi$
$102$	4.23901	−	5.75599i	0.419724	−	0.569928i
$103$	2.41266	+	4.73512i	0.237727	+	0.466565i	0.978789	−	0.204871i	$-0.0656776\pi$
$103$	2.41266	+	4.73512i	0.237727	+	0.466565i	−0.741062	+	0.671437i	$0.765678\pi$
$104$	−8.35689	−	1.49002i	−0.819461	−	0.146109i
$105$	−1.08876	+	2.75556i	−0.106252	+	0.268915i
$106$	−5.41354	−	0.893278i	−0.525809	−	0.0867628i
$107$	−6.24925	−	6.24925i	−0.604137	−	0.604137i	0.337270	−	0.941408i	$-0.390496\pi$
$107$	−6.24925	−	6.24925i	−0.604137	−	0.604137i	−0.941408	+	0.337270i	$0.890496\pi$
$108$	−1.61596	−	11.1309i	−0.155496	−	1.07108i
$109$	−0.458960	+	0.631704i	−0.0439604	+	0.0605063i	−0.830431	−	0.557121i	$-0.811906\pi$
$109$	−0.458960	+	0.631704i	−0.0439604	+	0.0605063i	0.786471	+	0.617627i	$0.211906\pi$
$110$	0.548838	−	7.99013i	0.0523296	−	0.761829i
$111$	−4.95175	−	6.81550i	−0.469999	−	0.646898i
$112$	−3.93328	−	0.727526i	−0.371660	−	0.0687447i
$113$	−2.09591	−	13.2330i	−0.197166	−	1.24486i	−0.865466	−	0.500968i	$-0.832978\pi$
$113$	−2.09591	−	13.2330i	−0.197166	−	1.24486i	0.668300	−	0.743892i	$-0.267022\pi$
$114$	3.78355	−	0.574246i	0.354362	−	0.0537831i
$115$	2.44631	−	10.9805i	0.228119	−	1.02394i
$116$	−0.201996	+	15.6458i	−0.0187549	+	1.45267i
$117$	3.32738	+	1.69538i	0.307616	+	0.156738i
$118$	−4.36330	−	13.7298i	−0.401674	−	1.26393i
$119$	1.17884	+	3.62810i	0.108064	+	0.332588i
$120$	−8.35628	+	0.632841i	−0.762821	+	0.0577702i
$121$	1.41705	−	4.36122i	0.128822	−	0.396474i
$122$	14.0891	+	0.0909455i	1.27557	+	0.00823382i
$123$	−1.95718	+	12.3572i	−0.176473	+	1.11421i
$124$	−3.62577	−	5.12839i	−0.325604	−	0.460543i
$125$	−10.9867	−	2.07175i	−0.982681	−	0.185303i
$126$	1.56272	+	0.808994i	0.139218	+	0.0720709i
$127$	11.3725	+	1.80123i	1.00915	+	0.159834i	0.639055	−	0.769161i	$-0.279325\pi$
$127$	11.3725	+	1.80123i	1.00915	+	0.159834i	0.370094	+	0.928994i	$0.379325\pi$
$128$	−3.00654	−	10.9069i	−0.265743	−	0.964044i
$129$	15.1687	+	4.92862i	1.33553	+	0.433940i
$130$	4.87802	−	8.14108i	0.427831	−	0.714020i
$131$	−4.41821	+	1.43556i	−0.386020	+	0.125426i	−0.495597	−	0.868553i	$-0.665051\pi$
$131$	−4.41821	+	1.43556i	−0.386020	+	0.125426i	0.109576	+	0.993978i	$0.465051\pi$
$132$	6.61494	+	1.13543i	0.575757	+	0.0988264i
$133$	−0.927154	+	1.81964i	−0.0803945	+	0.157783i
$134$	−1.56256	+	0.783498i	−0.134984	+	0.0676839i
$135$	12.2743	+	2.73455i	1.05641	+	0.235353i
$136$	−7.77593	+	7.48046i	−0.666781	+	0.641444i
$137$	0.445642	−	0.0705827i	0.0380737	−	0.00603029i	−0.137369	−	0.990520i	$-0.543864\pi$
$137$	0.445642	−	0.0705827i	0.0380737	−	0.00603029i	0.175442	+	0.984490i	$0.443864\pi$
$138$	8.94709	+	2.97107i	0.761627	+	0.252914i
$139$	−2.33565	+	1.69695i	−0.198107	+	0.143933i	−0.682416	−	0.730964i	$-0.739071\pi$
$139$	−2.33565	+	1.69695i	−0.198107	+	0.143933i	0.484309	+	0.874897i	$0.339071\pi$
$140$	2.32331	−	3.82129i	0.196356	−	0.322958i
$141$	−13.7546	−	9.99327i	−1.15834	−	0.841585i
$142$	1.56583	+	2.18470i	0.131402	+	0.183336i
$143$	−5.37473	+	5.37473i	−0.449458	+	0.449458i
$144$	−0.128496	+	4.97554i	−0.0107080	+	0.414629i
$145$	−16.2700	−	6.42848i	−1.35115	−	0.533856i
$146$	12.1473	+	12.3052i	1.00532	+	1.01838i
$147$	1.18061	−	0.601550i	0.0973750	−	0.0496150i
$148$	5.62612	+	11.4035i	0.462464	+	0.937359i
$149$		−	15.1103i		−	1.23789i	−0.785435	−	0.618944i	$-0.787561\pi$
$149$		−	15.1103i		−	1.23789i	0.785435	−	0.618944i	$-0.212439\pi$
$150$	2.65932	−	8.98404i	0.217133	−	0.733544i
$151$		−	3.18317i		−	0.259043i	−0.991577	−	0.129522i	$-0.958656\pi$
$151$		−	3.18317i		−	0.259043i	0.991577	−	0.129522i	$-0.0413441\pi$
$152$	−5.77522	−	0.111850i	−0.468433	−	0.00907225i
$153$	4.22941	−	2.15499i	0.341927	−	0.174221i
$154$	−2.54895	+	2.51625i	−0.205400	+	0.202766i
$155$	6.80014	−	1.75109i	0.546200	−	0.140651i
$156$	6.37352	+	4.75754i	0.510290	+	0.380908i
$157$	−15.9074	+	15.9074i	−1.26955	+	1.26955i	−0.323224	+	0.946322i	$0.604767\pi$
$157$	−15.9074	+	15.9074i	−1.26955	+	1.26955i	−0.946322	+	0.323224i	$0.895233\pi$
$158$	4.05904	−	2.90922i	0.322920	−	0.231445i
$159$	4.15893	+	3.02164i	0.329825	+	0.239632i
$160$	12.5928	+	1.19232i	0.995547	+	0.0942613i
$161$	−4.07018	+	2.95716i	−0.320775	+	0.233057i
$162$	−1.65743	+	4.99120i	−0.130220	+	0.392146i
$163$	15.8145	−	2.50476i	1.23868	−	0.196188i	0.497484	−	0.867473i	$-0.334257\pi$
$163$	15.8145	−	2.50476i	1.23868	−	0.196188i	0.741200	+	0.671285i	$0.234257\pi$
$164$	6.06697	−	17.8833i	0.473751	−	1.39645i
$165$	−3.81523	+	6.46160i	−0.297016	+	0.503035i
$166$	−5.17878	−	10.3282i	−0.401951	−	0.801624i
$167$	−9.15217	+	17.9621i	−0.708216	+	1.38995i	0.203476	+	0.979080i	$0.434776\pi$
$167$	−9.15217	+	17.9621i	−0.708216	+	1.38995i	−0.911693	+	0.410873i	$0.865224\pi$
$168$	2.98877	+	2.26117i	0.230588	+	0.174453i
$169$	3.79735	−	1.23383i	0.292104	−	0.0949103i
$170$	−4.72725	−	11.0987i	−0.362564	−	0.851231i
$171$	2.41678	+	0.785259i	0.184816	+	0.0600503i
$172$	−21.3072	−	11.2053i	−1.62466	−	0.854400i
$173$	−6.72088	−	1.06448i	−0.510979	−	0.0809312i	−0.104380	−	0.994538i	$-0.533286\pi$
$173$	−6.72088	−	1.06448i	−0.510979	−	0.0809312i	−0.406600	+	0.913606i	$0.633286\pi$
$174$	6.73981	−	13.0192i	0.510944	−	0.986982i
$175$	3.07010	+	3.94645i	0.232078	+	0.298324i
$176$	−9.55076	−	3.37823i	−0.719916	−	0.254644i
$177$	−2.11154	+	13.3317i	−0.158713	+	1.00207i
$178$	0.0934642	−	14.4793i	0.00700544	−	1.08527i
$179$	−1.08556	+	3.34100i	−0.0811384	+	0.249718i	−0.983394	−	0.181483i	$-0.941910\pi$
$179$	−1.08556	+	3.34100i	−0.0811384	+	0.249718i	0.902256	+	0.431201i	$0.141910\pi$
$180$	−5.14852	−	2.11149i	−0.383748	−	0.157381i
$181$	−1.19765	−	3.68599i	−0.0890207	−	0.273977i	0.896629	−	0.442783i	$-0.146009\pi$
$181$	−1.19765	−	3.68599i	−0.0890207	−	0.273977i	−0.985649	+	0.168806i	$0.946009\pi$
$182$	−4.04499	+	1.28549i	−0.299835	+	0.0952870i
$183$	−11.7620	−	5.99306i	−0.869475	−	0.443020i
$184$	−12.5514	−	6.70453i	−0.925305	−	0.494265i
$185$	−14.1527	+	1.34789i	−1.04053	+	0.0990990i
$186$	0.883013	+	5.81794i	0.0647457	+	0.426592i
$187$	1.51141	+	9.54266i	0.110525	+	0.697828i
$188$	17.9101	+	18.3787i	1.30623	+	1.34040i
$189$	−3.30560	−	4.54976i	−0.240447	−	0.330947i
$190$	2.41187	−	5.99083i	0.174976	−	0.434620i
$191$	8.61053	−	11.8514i	0.623036	−	0.857535i	−0.374534	−	0.927213i	$-0.622197\pi$
$191$	8.61053	−	11.8514i	0.623036	−	0.857535i	0.997570	+	0.0696780i	$0.0221972\pi$
$192$	−2.06238	+	10.3977i	−0.148840	+	0.750386i
$193$	−18.4916	−	18.4916i	−1.33105	−	1.33105i	−0.904431	−	0.426620i	$-0.859704\pi$
$193$	−18.4916	−	18.4916i	−1.33105	−	1.33105i	−0.426620	−	0.904431i	$-0.640296\pi$
$194$	−2.11254	+	12.8026i	−0.151672	+	0.919176i
$195$	−7.50451	+	4.76993i	−0.537409	+	0.341582i
$196$	−1.90993	+	0.593427i	−0.136424	+	0.0423876i
$197$	8.56478	+	16.8093i	0.610216	+	1.19762i	0.964897	+	0.262628i	$0.0845893\pi$
$197$	8.56478	+	16.8093i	0.610216	+	1.19762i	−0.354681	+	0.934987i	$0.615411\pi$
$198$	3.58859	+	2.64282i	0.255030	+	0.187817i
$199$	20.1958			1.43164			0.715820	−	0.698285i	$-0.246053\pi$
$199$	20.1958			1.43164			0.715820	+	0.698285i	$0.246053\pi$
$200$	−6.25020	+	12.6860i	−0.441956	+	0.897037i
$201$	1.63775			0.115518
$202$	−2.43971	−	1.79672i	−0.171657	−	0.126417i
$203$	3.55181	+	6.97082i	0.249288	+	0.489255i
$204$	9.65420	−	2.99962i	0.675929	−	0.210015i
$205$	16.2776	+	13.4467i	1.13688	+	0.939160i
$206$	−1.22359	+	7.41535i	−0.0852518	+	0.516652i
$207$	4.42656	+	4.42656i	0.307667	+	0.307667i
$208$	−8.26671	−	8.70501i	−0.573193	−	0.603584i
$209$	−3.04019	+	4.18446i	−0.210294	+	0.289445i
$210$	−3.55068	+	2.22479i	−0.245020	+	0.153525i
$211$	2.12604	+	2.92624i	0.146363	+	0.201451i	0.875903	−	0.482486i	$-0.160266\pi$
$211$	2.12604	+	2.92624i	0.146363	+	0.201451i	−0.729541	+	0.683937i	$0.760266\pi$
$212$	−5.41545	−	5.55711i	−0.371935	−	0.381664i
$213$	−0.393962	−	2.48738i	−0.0269938	−	0.170432i
$214$	−1.87547	−	12.3570i	−0.128205	−	0.844706i
$215$	20.1771	−	17.8138i	1.37606	−	1.21489i
$216$	7.49451	−	14.0304i	0.509937	−	0.954645i
$217$	−2.79805	−	1.42568i	−0.189944	−	0.0967813i
$218$	−1.05239	+	0.334449i	−0.0712771	+	0.0226517i
$219$	−5.00622	−	15.4076i	−0.338289	−	1.04115i
$220$	7.32568	−	8.63836i	0.493897	−	0.582398i
$221$	−3.53795	+	10.8887i	−0.237988	+	0.732452i
$222$	0.0769032	−	11.9137i	0.00516140	−	0.799594i
$223$	0.191660	−	1.21010i	0.0128345	−	0.0810340i	−0.980440	−	0.196820i	$-0.936939\pi$
$223$	0.191660	−	1.21010i	0.0128345	−	0.0810340i	0.993274	+	0.115786i	$0.0369386\pi$
$224$	−3.86884	−	4.12699i	−0.258498	−	0.275746i
$225$	4.25251	−	4.54128i	0.283501	−	0.302752i
$226$	8.71084	−	16.8266i	0.579436	−	1.11929i
$227$	12.1552	+	1.92520i	0.806771	+	0.127780i	0.546178	−	0.837669i	$-0.316082\pi$
$227$	12.1552	+	1.92520i	0.806771	+	0.127780i	0.260592	+	0.965449i	$0.416082\pi$
$228$	4.79004	+	2.51906i	0.317228	+	0.166829i
$229$	13.3051	+	4.32308i	0.879223	+	0.285677i	0.713635	−	0.700518i	$-0.247048\pi$
$229$	13.3051	+	4.32308i	0.879223	+	0.285677i	0.165588	+	0.986195i	$0.447048\pi$
$230$	11.9942	−	10.4523i	0.790873	−	0.689207i
$231$	3.19159	−	1.03701i	0.209991	−	0.0682304i
$232$	−13.3509	+	17.6469i	−0.876529	+	1.15858i
$233$	9.08246	−	17.8253i	0.595012	−	1.16778i	−0.375522	−	0.926813i	$-0.622537\pi$
$233$	9.08246	−	17.8253i	0.595012	−	1.16778i	0.970534	−	0.240963i	$-0.0774633\pi$
$234$	2.36721	+	4.72100i	0.154749	+	0.308621i
$235$	−26.3234	+	11.4132i	−1.71715	+	0.744516i
$236$	6.54546	−	19.2937i	0.426073	−	1.25591i
$237$	−4.62139	+	0.731956i	−0.300191	+	0.0475456i
$238$	−1.70022	+	5.12004i	−0.110209	+	0.331883i
$239$	11.5925	−	8.42247i	0.749859	−	0.544804i	−0.145924	−	0.989296i	$-0.546616\pi$
$239$	11.5925	−	8.42247i	0.749859	−	0.544804i	0.895783	+	0.444492i	$0.146616\pi$
$240$	−10.0463	−	6.28713i	−0.648485	−	0.405832i
$241$	9.45607	+	6.87024i	0.609119	+	0.442551i	0.849104	−	0.528226i	$-0.177143\pi$
$241$	9.45607	+	6.87024i	0.609119	+	0.442551i	−0.239985	+	0.970777i	$0.577143\pi$
$242$	5.27105	−	3.77790i	0.338836	−	0.242852i
$243$	−8.44563	+	8.44563i	−0.541787	+	0.541787i
$244$	15.9674	+	11.9190i	1.02221	+	0.763034i
$245$	0.138830	−	2.23175i	0.00886954	−	0.142582i
$246$	−12.5917	+	12.4302i	−0.802816	+	0.792518i
$247$	−5.46112	+	2.78258i	−0.347483	+	0.177051i
$248$	0.171991	−	8.88051i	0.0109215	−	0.563913i
$249$			10.8252i			0.686020i
$250$	−10.7735	−	11.5729i	−0.681377	−	0.731932i
$251$			5.39187i			0.340332i	0.985415	+	0.170166i	$0.0544304\pi$
$251$			5.39187i			0.340332i	−0.985415	+	0.170166i	$0.945570\pi$
$252$	1.10108	+	2.23176i	0.0693616	+	0.140588i
$253$	−11.3531	+	5.78468i	−0.713761	+	0.363680i
$254$	11.4397	+	11.5884i	0.717793	+	0.727120i
$255$	−0.701750	+	11.2809i	−0.0439453	+	0.706439i
$256$	5.72313	−	14.9414i	0.357695	−	0.933838i
$257$	13.3985	−	13.3985i	0.835776	−	0.835776i	−0.152524	−	0.988300i	$-0.548740\pi$
$257$	13.3985	−	13.3985i	0.835776	−	0.835776i	0.988300	+	0.152524i	$0.0487401\pi$
$258$	13.1399	+	18.3332i	0.818053	+	1.14137i
$259$	5.14366	+	3.73709i	0.319612	+	0.232211i
$260$	12.3821	−	5.17971i	0.767902	−	0.321232i
$261$	7.87564	−	5.72198i	0.487490	−	0.354182i
$262$	−6.23505	−	2.07048i	−0.385203	−	0.127915i
$263$	−7.55102	+	1.19596i	−0.465616	+	0.0737463i	−0.384834	−	0.922986i	$-0.625741\pi$
$263$	−7.55102	+	1.19596i	−0.465616	+	0.0737463i	−0.0807811	+	0.996732i	$0.525741\pi$
$264$	6.58046	+	6.84038i	0.404999	+	0.420997i
$265$	7.95936	−	3.45099i	0.488940	−	0.211993i
$266$	−2.58177	+	1.29456i	−0.158299	+	0.0793743i
$267$	−6.15903	+	12.0878i	−0.376927	+	0.739760i
$268$	−2.43639	−	0.418197i	−0.148826	−	0.0255455i
$269$	18.0443	−	5.86295i	1.10018	−	0.357470i	0.298009	−	0.954563i	$-0.403678\pi$
$269$	18.0443	−	5.86295i	1.10018	−	0.357470i	0.802172	+	0.597093i	$0.203678\pi$
$270$	11.6839	+	13.4074i	0.711061	+	0.815950i
$271$	5.67413	+	1.84364i	0.344679	+	0.111993i	0.476240	−	0.879315i	$-0.341999\pi$
$271$	5.67413	+	1.84364i	0.344679	+	0.111993i	−0.131562	+	0.991308i	$0.541999\pi$
$272$	−15.1280	+	1.99718i	−0.917269	+	0.121097i
$273$	3.92772	+	0.622090i	0.237716	+	0.0376506i
$274$	0.566659	+	0.293350i	0.0342331	+	0.0177219i
$275$	6.11622	+	11.0883i	0.368822	+	0.668650i
$276$	7.69675	+	10.8865i	0.463290	+	0.655289i
$277$	−3.80349	+	24.0143i	−0.228530	+	1.44288i	0.560311	+	0.828282i	$0.310681\pi$
$277$	−3.80349	+	24.0143i	−0.228530	+	1.44288i	−0.788841	+	0.614597i	$0.789319\pi$
$278$	−4.08278	−	0.0263545i	−0.244869	−	0.00158064i
$279$	−1.20749	+	3.71626i	−0.0722903	+	0.222487i
$280$	5.85025	−	2.40304i	0.349619	−	0.143609i
$281$	−1.80163	−	5.54484i	−0.107476	−	0.330778i	0.882827	−	0.469697i	$-0.155637\pi$
$281$	−1.80163	−	5.54484i	−0.107476	−	0.330778i	−0.990304	+	0.138920i	$0.955637\pi$
$282$	−7.28220	−	22.9145i	−0.433648	−	1.36454i
$283$	−1.32224	−	0.673714i	−0.0785989	−	0.0400481i	0.414249	−	0.910163i	$-0.364044\pi$
$283$	−1.32224	−	0.673714i	−0.0785989	−	0.0400481i	−0.492848	+	0.870115i	$0.664044\pi$
$284$	−0.0490724	+	3.80094i	−0.00291191	+	0.225544i
$285$	−4.53598	+	4.00469i	−0.268688	+	0.237217i
$286$	−10.6278	+	1.61302i	−0.628432	+	0.0953798i
$287$	−1.47709	−	9.32595i	−0.0871896	−	0.550494i
$288$	−4.31892	+	5.55806i	−0.254495	+	0.327512i
$289$	−1.43843	−	1.97983i	−0.0846137	−	0.116461i
$290$	−13.1361	−	20.9647i	−0.771380	−	1.23109i
$291$	7.14598	−	9.83560i	0.418905	−	0.576573i
$292$	3.51319	+	24.1994i	0.205594	+	1.41616i
$293$	7.85109	+	7.85109i	0.458666	+	0.458666i	0.898217	−	0.439552i	$-0.144863\pi$
$293$	7.85109	+	7.85109i	0.458666	+	0.458666i	−0.439552	+	0.898217i	$0.644863\pi$
$294$	1.84887	+	0.305079i	0.107828	+	0.0177926i
$295$	17.5614	+	14.5072i	1.02246	+	0.844643i
$296$	−3.15654	+	17.7037i	−0.183470	+	1.02901i
$297$	−6.46627	−	12.6908i	−0.375211	−	0.736394i
$298$	12.6719	−	17.2067i	0.734061	−	0.996754i
$299$	−15.0991			−0.873205
$300$	10.5625	−	8.00026i	0.609825	−	0.461895i
$301$	−12.0370			−0.693800
$302$	2.66948	−	3.62479i	0.153611	−	0.208583i
$303$	1.28881	+	2.52942i	0.0740399	+	0.145312i
$304$	−6.48264	−	4.97060i	−0.371805	−	0.285083i
$305$	−18.8009	+	11.9500i	−1.07654	+	0.684256i
$306$	6.62339	+	1.09291i	0.378634	+	0.0624777i
$307$	−9.60032	−	9.60032i	−0.547919	−	0.547919i	0.377919	−	0.925839i	$-0.376640\pi$
$307$	−9.60032	−	9.60032i	−0.547919	−	0.547919i	−0.925839	+	0.377919i	$0.876640\pi$
$308$	−5.01276	+	0.727738i	−0.285629	+	0.0414667i
$309$	4.13899	−	5.69682i	0.235459	−	0.324081i
$310$	9.21205	+	3.70872i	0.523209	+	0.210641i
$311$	−19.8738	−	27.3539i	−1.12694	−	1.55110i	−0.793755	−	0.608238i	$-0.791877\pi$
$311$	−19.8738	−	27.3539i	−1.12694	−	1.55110i	−0.333185	−	0.942862i	$-0.608123\pi$
$312$	3.26796	+	10.7625i	0.185012	+	0.609309i
$313$	3.94651	+	24.9173i	0.223070	+	1.40841i	0.804084	+	0.594515i	$0.202656\pi$
$313$	3.94651	+	24.9173i	0.223070	+	1.40841i	−0.581014	+	0.813893i	$0.697344\pi$
$314$	−31.4545	+	4.77399i	−1.77508	+	0.269412i
$315$	−2.76981	+	0.263794i	−0.156061	+	0.0148631i
$316$	7.06189	+	0.0911733i	0.397262	+	0.00512890i
$317$	1.98106	+	1.00940i	0.111268	+	0.0566936i	0.508738	−	0.860921i	$-0.330112\pi$
$317$	1.98106	+	1.00940i	0.111268	+	0.0566936i	−0.397471	+	0.917615i	$0.630112\pi$
$318$	2.20190	+	6.92862i	0.123477	+	0.388538i
$319$	6.12296	+	18.8445i	0.342820	+	1.05509i
$320$	13.3399	+	11.9183i	0.745724	+	0.666255i
$321$	−3.61868	+	11.1371i	−0.201975	+	0.621615i
$322$	−7.11479	−	0.0459262i	−0.396492	−	0.00255937i
$323$	−1.21874	+	7.69482i	−0.0678125	+	0.428151i
$324$	−6.07310	+	4.29369i	−0.337395	+	0.238538i
$325$	0.492501	+	14.9979i	0.0273191	+	0.831936i
$326$	20.1090	+	10.4101i	1.11373	+	0.576561i
$327$	1.02188	+	0.161850i	0.0565102	+	0.00895034i
$328$	21.9060	−	15.2764i	1.20956	−	0.843499i
$329$	12.2031	+	3.96503i	0.672778	+	0.218599i
$330$	−9.76337	+	4.15850i	−0.537456	+	0.228918i
$331$	−28.8195	+	9.36402i	−1.58406	+	0.514693i	−0.963099	−	0.269147i	$-0.913258\pi$
$331$	−28.8195	+	9.36402i	−1.58406	+	0.514693i	−0.620963	+	0.783840i	$0.713258\pi$
$332$	2.76420	−	16.1041i	0.151705	−	0.883827i
$333$	3.59159	−	7.04889i	0.196818	−	0.386277i
$334$	−25.4853	+	12.7789i	−1.39450	+	0.699230i
$335$	1.40521	−	2.37991i	0.0767750	−	0.130029i
$336$	1.50714	+	5.08131i	0.0822214	+	0.277208i
$337$	−20.5896	+	3.26108i	−1.12159	+	0.177642i	−0.689568	−	0.724221i	$-0.742199\pi$
$337$	−20.5896	+	3.26108i	−1.12159	+	0.177642i	−0.432021	+	0.901864i	$0.642199\pi$
$338$	5.35889	+	1.77953i	0.291485	+	0.0967938i
$339$	−14.3622	+	10.4348i	−0.780050	+	0.566740i
$340$	3.92452	−	16.6028i	0.212837	−	0.900415i
$341$	−6.43440	−	4.67487i	−0.348443	−	0.253158i
$342$	2.09353	+	2.92096i	0.113205	+	0.157948i
$343$	−0.707107	+	0.707107i	−0.0381802	+	0.0381802i
$344$	−14.8661	−	30.6286i	−0.801529	−	1.65138i
$345$	−14.4353	+	3.71720i	−0.777168	+	0.200127i
$346$	−6.76060	−	6.84844i	−0.363452	−	0.368175i
$347$	6.87547	−	3.50323i	0.369095	−	0.188063i	−0.259598	−	0.965717i	$-0.583590\pi$
$347$	6.87547	−	3.50323i	0.369095	−	0.188063i	0.628693	+	0.777653i	$0.283590\pi$
$348$	18.5930	−	9.17323i	0.996691	−	0.491737i
$349$			15.6989i			0.840343i	0.907445	+	0.420172i	$0.138030\pi$
$349$			15.6989i			0.840343i	−0.907445	+	0.420172i	$0.861970\pi$
$350$	0.186451	+	7.06861i	0.00996621	+	0.377833i
$351$		−	16.8782i		−	0.900893i
$352$	−8.04271	−	11.8564i	−0.428678	−	0.631947i
$353$	−6.80772	+	3.46871i	−0.362338	+	0.184621i	−0.625676	−	0.780083i	$-0.715177\pi$
$353$	−6.80772	+	3.46871i	−0.362338	+	0.184621i	0.263337	+	0.964704i	$0.415177\pi$
$354$	−13.5847	+	13.4105i	−0.722021	+	0.712760i
$355$	−3.95259	−	1.56172i	−0.209782	−	0.0828874i
$356$	12.2491	−	16.4096i	0.649199	−	0.869709i
$357$	3.57424	−	3.57424i	0.189169	−	0.189169i
$358$	−4.03800	+	2.89414i	−0.213415	+	0.152960i
$359$	−18.6735	−	13.5671i	−0.985551	−	0.716045i	−0.0266085	−	0.999646i	$-0.508471\pi$
$359$	−18.6735	−	13.5671i	−0.985551	−	0.716045i	−0.958942	+	0.283601i	$0.908471\pi$
$360$	−4.09206	−	6.72209i	−0.215670	−	0.354285i
$361$	11.9971	−	8.71643i	0.631429	−	0.458760i
$362$	1.72735	−	5.20174i	0.0907873	−	0.273397i
$363$	−6.00131	+	0.950515i	−0.314987	+	0.0498891i
$364$	−5.68421	−	1.92839i	−0.297934	−	0.101075i
$365$	−26.6851	−	5.94508i	−1.39676	−	0.311179i
$366$	−8.36792	−	16.6884i	−0.437398	−	0.872317i
$367$	−0.902709	+	1.77167i	−0.0471210	+	0.0924802i	−0.913366	−	0.407139i	$-0.866527\pi$
$367$	−0.902709	+	1.77167i	−0.0471210	+	0.0924802i	0.866245	+	0.499619i	$0.166527\pi$
$368$	−8.67019	−	18.1606i	−0.451965	−	0.946686i
$369$	−11.1739	+	3.63062i	−0.581690	+	0.189003i
$370$	−17.2465	−	10.3339i	−0.896603	−	0.537232i
$371$	−3.68982	−	1.19890i	−0.191566	−	0.0622436i
$372$	−3.87353	+	7.36560i	−0.200833	+	0.381888i
$373$	−29.1715	−	4.62032i	−1.51045	−	0.239231i	−0.654406	−	0.756143i	$-0.727081\pi$
$373$	−29.1715	−	4.62032i	−1.51045	−	0.239231i	−0.856039	+	0.516912i	$0.827081\pi$
$374$	−6.28159	+	12.1340i	−0.324813	+	0.627436i
$375$	4.16313	+	14.2173i	0.214983	+	0.734177i
$376$	4.98214	+	35.9482i	0.256934	+	1.85389i
$377$	−3.67308	+	23.1909i	−0.189173	+	1.19439i
$378$	0.0513376	−	7.95311i	0.00264052	−	0.409064i
$379$	5.93648	−	18.2706i	0.304936	−	0.938498i	−0.674765	−	0.738033i	$-0.735755\pi$
$379$	5.93648	−	18.2706i	0.304936	−	0.938498i	0.979701	−	0.200465i	$-0.0642452\pi$
$380$	7.77052	−	4.79931i	0.398619	−	0.246199i
$381$	−4.71460	−	14.5100i	−0.241536	−	0.743372i
$382$	19.7439	−	6.27458i	1.01019	−	0.321035i
$383$	13.0564	+	6.65255i	0.667149	+	0.339929i	0.754549	−	0.656244i	$-0.227856\pi$
$383$	13.0564	+	6.65255i	0.667149	+	0.339929i	−0.0873997	+	0.996173i	$0.527856\pi$
$384$	−11.0682	+	10.1106i	−0.564822	+	0.515954i
$385$	1.23149	−	5.52767i	0.0627625	−	0.281716i
$386$	−5.54953	−	36.5644i	−0.282464	−	1.86108i
$387$	2.34302	+	14.7932i	0.119102	+	0.751982i
$388$	−13.1422	+	12.8072i	−0.667194	+	0.650186i
$389$	−1.57474	−	2.16744i	−0.0798424	−	0.109894i	0.767228	−	0.641375i	$-0.221636\pi$
$389$	−1.57474	−	2.16744i	−0.0798424	−	0.109894i	−0.847070	+	0.531481i	$0.821636\pi$
$390$	−12.5458	−	0.861764i	−0.635282	−	0.0436371i
$391$	−11.2810	+	15.5270i	−0.570505	+	0.785233i
$392$	−2.67257	−	0.925956i	−0.134985	−	0.0467679i
$393$	4.35261	+	4.35261i	0.219560	+	0.219560i
$394$	−4.34367	+	26.3240i	−0.218831	+	1.32618i
$395$	−2.90157	+	7.34365i	−0.145994	+	0.369499i
$396$	1.87012	+	6.01893i	0.0939769	+	0.302463i
$397$	2.11116	+	4.14339i	0.105956	+	0.207951i	0.937897	−	0.346913i	$-0.112770\pi$
$397$	2.11116	+	4.14339i	0.105956	+	0.207951i	−0.831941	+	0.554864i	$0.812770\pi$
$398$	22.9976	+	16.9366i	1.15276	+	0.848955i
$399$	2.70602			0.135470
$400$	−17.7561	+	9.20444i	−0.887804	+	0.460222i
$401$	12.0937			0.603932			0.301966	−	0.953319i	$-0.402357\pi$
$401$	12.0937			0.603932			0.301966	+	0.953319i	$0.402357\pi$
$402$	1.86496	+	1.37345i	0.0930158	+	0.0685016i
$403$	−4.27875	−	8.39752i	−0.213140	−	0.418310i
$404$	−1.27140	−	4.09198i	−0.0632546	−	0.203584i
$405$	−2.07366	−	8.05282i	−0.103041	−	0.400148i
$406$	−1.80132	+	10.9165i	−0.0893978	+	0.541778i
$407$	11.3861	+	11.3861i	0.564389	+	0.564389i
$408$	13.5091	+	4.68046i	0.668800	+	0.231717i
$409$	13.3337	−	18.3523i	0.659310	−	0.907462i	−0.340148	−	0.940372i	$-0.610477\pi$
$409$	13.3337	−	18.3523i	0.659310	−	0.907462i	0.999458	+	0.0329095i	$0.0104773\pi$
$410$	7.25919	+	28.9630i	0.358506	+	1.43038i
$411$	−0.351406	−	0.483669i	−0.0173336	−	0.0238576i
$412$	−7.61202	+	7.41798i	−0.375017	+	0.365457i
$413$	−1.59358	−	10.0615i	−0.0784149	−	0.495092i
$414$	1.32846	+	8.75289i	0.0652904	+	0.430181i
$415$	15.7308	+	9.28820i	0.772194	+	0.455940i
$416$	−2.11336	−	16.8453i	−0.103616	−	0.825910i
$417$	3.40844	+	1.73669i	0.166912	+	0.0850460i
$418$	−6.97114	+	2.21541i	−0.340969	+	0.108359i
$419$	−0.390162	−	1.20079i	−0.0190607	−	0.0586627i	0.941074	−	0.338201i	$-0.109818\pi$
$419$	−0.390162	−	1.20079i	−0.0190607	−	0.0586627i	−0.960134	+	0.279539i	$0.909818\pi$
$420$	−5.90903	−	0.444228i	−0.288331	−	0.0216761i
$421$	6.44078	−	19.8227i	0.313905	−	0.966099i	−0.662298	−	0.749240i	$-0.730419\pi$
$421$	6.44078	−	19.8227i	0.313905	−	0.966099i	0.976203	−	0.216859i	$-0.0695811\pi$
$422$	−0.0330185	+	5.11515i	−0.00160731	+	0.249002i
$423$	2.49759	−	15.7692i	0.121437	−	0.766723i
$424$	−1.50644	−	10.8696i	−0.0731591	−	0.527874i
$425$	15.7909	+	10.6990i	0.765971	+	0.518976i
$426$	1.63735	−	3.16285i	0.0793300	−	0.153240i
$427$	9.84004	+	1.55851i	0.476193	+	0.0754215i
$428$	8.22717	−	15.6441i	0.397675	−	0.756187i
$429$	9.57863	+	3.11228i	0.462460	+	0.150262i
$430$	37.9153	−	3.36421i	1.82844	−	0.162237i
$431$	−30.5022	+	9.91078i	−1.46924	+	0.477385i	−0.930879	−	0.365328i	$-0.880957\pi$
$431$	−30.5022	+	9.91078i	−1.46924	+	0.477385i	−0.538362	+	0.842713i	$0.680957\pi$
$432$	20.3004	−	9.69178i	0.976704	−	0.466296i
$433$	−12.6030	+	24.7349i	−0.605664	+	1.18868i	0.360984	+	0.932572i	$0.382441\pi$
$433$	−12.6030	+	24.7349i	−0.605664	+	1.18868i	−0.966648	+	0.256110i	$0.917559\pi$
$434$	−1.99063	−	3.96997i	−0.0955532	−	0.190565i
$435$	2.19770	+	23.0755i	0.105372	+	1.10639i
$436$	−1.47887	−	0.501712i	−0.0708251	−	0.0240277i
$437$	−10.1480	+	1.60729i	−0.485446	+	0.0768871i
$438$	7.22037	−	21.7434i	0.345003	−	1.03894i
$439$	11.1241	−	8.08216i	0.530926	−	0.385740i	−0.289778	−	0.957094i	$-0.593582\pi$
$439$	11.1241	−	8.08216i	0.530926	−	0.385740i	0.820704	+	0.571354i	$0.193582\pi$
$440$	15.5863	−	3.69332i	0.743048	−	0.176072i
$441$	1.00666	+	0.731381i	0.0479362	+	0.0348277i
$442$	−13.1603	+	9.43230i	−0.625970	+	0.448649i
$443$	28.3420	−	28.3420i	1.34657	−	1.34657i	0.457211	−	0.889358i	$-0.348848\pi$
$443$	28.3420	−	28.3420i	1.34657	−	1.34657i	0.889358	−	0.457211i	$-0.151152\pi$
$444$	10.0786	−	13.5020i	0.478311	−	0.640777i
$445$	12.2810	+	19.3216i	0.582173	+	0.915930i
$446$	1.23306	−	1.21725i	0.0583872	−	0.0576382i
$447$	−17.8394	+	9.08963i	−0.843775	+	0.429925i
$448$	−0.944591	−	7.94404i	−0.0446277	−	0.375321i
$449$			32.4383i			1.53086i	0.643521	+	0.765428i	$0.277473\pi$
$449$			32.4383i			1.53086i	−0.643521	+	0.765428i	$0.722527\pi$
$450$	8.65089	−	1.60506i	0.407807	−	0.0756632i
$451$		−	23.9138i		−	1.12606i
$452$	24.0305	−	11.8559i	1.13030	−	0.557654i
$453$	−3.75808	+	1.91484i	−0.176570	+	0.0899670i
$454$	12.2270	+	12.3859i	0.573844	+	0.581300i
$455$	4.27404	−	5.17385i	0.200370	−	0.242554i
$456$	3.34204	+	6.88556i	0.156505	+	0.322446i
$457$	−0.0701869	+	0.0701869i	−0.00328320	+	0.00328320i	−0.708746	−	0.705463i	$-0.750739\pi$
$457$	−0.0701869	+	0.0701869i	−0.00328320	+	0.00328320i	0.705463	+	0.708746i	$0.250739\pi$
$458$	11.5255	+	16.0807i	0.538551	+	0.751404i
$459$	−17.3565	−	12.6102i	−0.810132	−	0.588595i
$460$	22.4237	−	1.84385i	1.04551	−	0.0859699i
$461$	−8.93755	+	6.49351i	−0.416263	+	0.302433i	−0.776132	−	0.630570i	$-0.782821\pi$
$461$	−8.93755	+	6.49351i	−0.416263	+	0.302433i	0.359869	+	0.933003i	$0.382821\pi$
$462$	4.50403	+	1.49566i	0.209547	+	0.0695844i
$463$	14.8860	−	2.35771i	0.691811	−	0.109572i	0.199378	−	0.979923i	$-0.436108\pi$
$463$	14.8860	−	2.35771i	0.691811	−	0.109572i	0.492433	+	0.870350i	$0.336108\pi$
$464$	−30.0022	+	8.89881i	−1.39282	+	0.413117i
$465$	−6.15798	−	6.97493i	−0.285569	−	0.323455i
$466$	25.2912	−	12.6816i	1.17159	−	0.587462i
$467$	2.57769	−	5.05900i	0.119281	−	0.234103i	−0.823644	−	0.567107i	$-0.808062\pi$
$467$	2.57769	−	5.05900i	0.119281	−	0.234103i	0.942925	+	0.333005i	$0.108062\pi$
$468$	−1.26351	+	7.36115i	−0.0584059	+	0.340269i
$469$	−1.17552	+	0.381949i	−0.0542803	+	0.0176367i
$470$	−39.5467	−	9.07880i	−1.82416	−	0.418774i
$471$	28.3495	+	9.21130i	1.30627	+	0.424434i
$472$	23.6336	−	16.4812i	1.08783	−	0.758610i
$473$	−30.1102	−	4.76899i	−1.38447	−	0.219278i
$474$	−5.87636	−	3.04209i	−0.269910	−	0.139728i
$475$	1.92752	+	10.0276i	0.0884409	+	0.460097i
$476$	−6.22988	+	4.40452i	−0.285546	+	0.201881i
$477$	−0.755191	+	4.76809i	−0.0345778	+	0.218316i
$478$	20.2641	+	0.130805i	0.926857	+	0.00598289i
$479$	−0.583793	+	1.79673i	−0.0266742	+	0.0820947i	−0.963507	−	0.267682i	$-0.913742\pi$
$479$	−0.583793	+	1.79673i	−0.0266742	+	0.0820947i	0.936833	+	0.349776i	$0.113742\pi$
$480$	−6.16753	−	15.5844i	−0.281508	−	0.711327i
$481$	5.89648	+	18.1475i	0.268856	+	0.827454i
$482$	5.00641	+	15.7534i	0.228036	+	0.717549i
$483$	5.93967	+	3.02641i	0.270264	+	0.137707i
$484$	9.17055	+	0.118397i	0.416843	+	0.00538170i
$485$	−8.16135	−	18.8234i	−0.370588	−	0.854724i
$486$	−16.7000	+	2.53463i	−0.757527	+	0.114973i
$487$	−3.67127	−	23.1795i	−0.166361	−	1.05036i	−0.919669	−	0.392695i	$-0.871543\pi$
$487$	−3.67127	−	23.1795i	−0.166361	−	1.05036i	0.753307	−	0.657669i	$-0.228457\pi$
$488$	8.18714	+	26.9632i	0.370615	+	1.22057i
$489$	−12.4703	−	17.1639i	−0.563928	−	0.776180i
$490$	2.02969	−	2.42495i	0.0916920	−	0.109548i
$491$	−8.48392	+	11.6771i	−0.382874	+	0.526981i	−0.956343	−	0.292246i	$-0.905597\pi$
$491$	−8.48392	+	11.6771i	−0.382874	+	0.526981i	0.573469	+	0.819227i	$0.305597\pi$
$492$	−24.7628	+	3.59498i	−1.11639	+	0.162074i
$493$	21.1038	+	21.1038i	0.950468	+	0.950468i
$494$	−8.55229	−	1.41120i	−0.384786	−	0.0634928i
$495$	−7.03312	−	0.437508i	−0.316115	−	0.0196645i
$496$	7.64324	−	9.96830i	0.343192	−	0.447590i
$497$	0.862867	+	1.69347i	0.0387049	+	0.0759626i
$498$	−9.07827	+	12.3270i	−0.406807	+	0.552388i
$499$	40.9938			1.83514			0.917568	−	0.397580i	$-0.130150\pi$
$499$	40.9938			1.83514			0.917568	+	0.397580i	$0.130150\pi$
$500$	−2.56291	−	22.2133i	−0.114617	−	0.993410i
$501$	26.7118			1.19339
$502$	−4.52174	+	6.13991i	−0.201815	+	0.274037i
$503$	6.38586	+	12.5330i	0.284731	+	0.558817i	0.988429	−	0.151683i	$-0.0484692\pi$
$503$	6.38586	+	12.5330i	0.284731	+	0.558817i	−0.703698	+	0.710499i	$0.748469\pi$
$504$	−0.617764	+	3.46477i	−0.0275174	+	0.154333i
$505$	4.78147	+	0.297440i	0.212773	+	0.0132359i
$506$	−17.7793	−	2.93373i	−0.790385	−	0.130420i
$507$	−3.74097	−	3.74097i	−0.166142	−	0.166142i
$508$	3.30854	+	22.7897i	0.146793	+	1.01113i
$509$	−11.1371	+	15.3288i	−0.493642	+	0.679439i	−0.981054	−	0.193732i	$-0.937941\pi$
$509$	−11.1371	+	15.3288i	−0.493642	+	0.679439i	0.487413	+	0.873172i	$0.337941\pi$
$510$	−10.2595	+	12.2575i	−0.454300	+	0.542769i
$511$	7.18657	+	9.89146i	0.317915	+	0.437573i
$512$	19.0473	−	12.2147i	0.841780	−	0.539821i
$513$	−1.79667	−	11.3437i	−0.0793250	−	0.500839i
$514$	26.4936	−	4.02105i	1.16858	−	0.177361i
$515$	−4.72710	−	10.9026i	−0.208301	−	0.480425i
$516$	−0.411797	+	31.8960i	−0.0181284	+	1.40414i
$517$	28.9548	+	14.7532i	1.27343	+	0.648846i
$518$	2.72325	+	8.56913i	0.119653	+	0.376506i
$519$	2.78621	+	8.57508i	0.122301	+	0.376404i
$520$	18.4437	+	4.48555i	0.808808	+	0.196705i
$521$	6.93504	−	21.3439i	0.303830	−	0.935092i	−0.676282	−	0.736643i	$-0.736410\pi$
$521$	6.93504	−	21.3439i	0.303830	−	0.935092i	0.980111	−	0.198449i	$-0.0635903\pi$
$522$	13.7668	+	0.0888654i	0.602558	+	0.00388953i
$523$	3.22681	−	20.3733i	0.141099	−	0.890861i	−0.810995	−	0.585054i	$-0.801073\pi$
$523$	3.22681	−	20.3733i	0.141099	−	0.890861i	0.952093	−	0.305808i	$-0.0989265\pi$
$524$	−5.36371	−	7.58658i	−0.234315	−	0.331421i
$525$	2.81239	−	5.99858i	0.122743	−	0.261799i
$526$	−9.60155	−	4.97056i	−0.418648	−	0.216727i
$527$	−11.8323	−	1.87405i	−0.515421	−	0.0816347i
$528$	1.75689	+	13.3079i	0.0764590	+	0.579152i
$529$	−2.19808	−	0.714199i	−0.0955686	−	0.0310521i
$530$	11.9577	+	2.74514i	0.519408	+	0.119241i
$531$	−12.0552	+	3.91696i	−0.523149	+	0.169981i
$532$	−4.02559	−	0.690977i	−0.174532	−	0.0299577i
$533$	12.8652	−	25.2493i	0.557253	−	1.09367i
$534$	−17.1506	+	8.59966i	−0.742178	+	0.372144i
$535$	13.0792	+	14.8144i	0.565463	+	0.640481i
$536$	−2.42369	−	2.51943i	−0.104688	−	0.108823i
$537$	4.59743	−	0.728162i	0.198394	−	0.0314225i
$538$	25.4644	+	8.45601i	1.09785	+	0.364564i
$539$	−2.04896	+	1.48866i	−0.0882550	+	0.0641210i
$540$	2.06111	+	25.0659i	0.0886959	+	1.07866i
$541$	17.9875	+	13.0687i	0.773343	+	0.561867i	0.902974	−	0.429696i	$-0.141379\pi$
$541$	17.9875	+	13.0687i	0.773343	+	0.561867i	−0.129631	+	0.991562i	$0.541379\pi$
$542$	4.91521	+	6.85786i	0.211126	+	0.294570i
$543$	−3.63127	+	3.63127i	−0.155833	+	0.155833i
$544$	−18.9016	−	10.4124i	−0.810400	−	0.446428i
$545$	1.11198	−	1.34609i	0.0476322	−	0.0576602i
$546$	3.95093	+	4.00227i	0.169084	+	0.171281i
$547$	35.4430	−	18.0591i	1.51543	−	0.772151i	0.518858	−	0.854861i	$-0.326357\pi$
$547$	35.4430	−	18.0591i	1.51543	−	0.772151i	0.996574	+	0.0827096i	$0.0263574\pi$
$548$	0.399264	+	0.809260i	0.0170557	+	0.0345699i
$549$		−	12.3966i		−	0.529073i
$550$	−2.33414	+	17.7558i	−0.0995282	+	0.757111i
$551$			15.9775i			0.680663i
$552$	−0.365101	+	18.8515i	−0.0155397	+	0.802371i
$553$	3.14636	−	1.60315i	0.133797	−	0.0681728i
$554$	−24.4701	+	24.1562i	−1.03963	+	1.02630i
$555$	10.1049	+	15.8980i	0.428928	+	0.674831i
$556$	−4.62709	−	3.45392i	−0.196233	−	0.146479i
$557$	23.7552	−	23.7552i	1.00654	−	1.00654i	0.00656133	−	0.999978i	$-0.497911\pi$
$557$	23.7552	−	23.7552i	1.00654	−	1.00654i	0.999978	−	0.00656133i	$-0.00208855\pi$
$558$	−4.49154	+	3.21921i	−0.190142	+	0.136280i
$559$	−29.2261	−	21.2340i	−1.23613	−	0.898102i
$560$	8.67712	+	2.16972i	0.366675	+	0.0916873i
$561$	10.3570	−	7.52477i	0.437271	−	0.317696i
$562$	2.59845	−	7.82498i	0.109609	−	0.330077i
$563$	−11.2239	+	1.77769i	−0.473031	+	0.0749208i	−0.388399	−	0.921491i	$-0.626972\pi$
$563$	−11.2239	+	1.77769i	−0.473031	+	0.0749208i	−0.0846326	+	0.996412i	$0.526972\pi$
$564$	10.9241	−	32.2005i	0.459990	−	1.35589i
$565$	2.84040	+	29.8239i	0.119497	+	1.25470i
$566$	−0.940685	−	1.87604i	−0.0395399	−	0.0788557i
$567$	−1.68831	+	3.31349i	−0.0709022	+	0.139153i
$568$	−3.24343	+	4.28710i	−0.136091	+	0.179883i
$569$	−22.1123	+	7.18471i	−0.926994	+	0.301199i	−0.733333	−	0.679870i	$-0.762036\pi$
$569$	−22.1123	+	7.18471i	−0.926994	+	0.301199i	−0.193661	+	0.981068i	$0.562036\pi$
$570$	−8.52369	+	0.756304i	−0.357018	+	0.0316781i
$571$	−33.2387	−	10.7999i	−1.39100	−	0.451962i	−0.484727	−	0.874665i	$-0.661081\pi$
$571$	−33.2387	−	10.7999i	−1.39100	−	0.451962i	−0.906268	+	0.422703i	$0.861081\pi$
$572$	−13.4549	−	7.07587i	−0.562577	−	0.295857i
$573$	−19.1715	−	3.03647i	−0.800901	−	0.126850i
$574$	6.13894	−	11.8585i	0.256234	−	0.494964i
$575$	−6.98398	+	24.1662i	−0.291252	+	1.00780i
$576$	−9.57921	+	2.70720i	−0.399134	+	0.112800i
$577$	−1.65478	+	10.4479i	−0.0688895	+	0.434951i	0.929004	+	0.370071i	$0.120667\pi$
$577$	−1.65478	+	10.4479i	−0.0688895	+	0.434951i	−0.997893	+	0.0648804i	$0.979333\pi$
$578$	0.0223396	−	3.46080i	0.000929205	−	0.143950i
$579$	−10.7077	+	32.9549i	−0.444996	+	1.36956i
$580$	2.62291	−	34.8894i	0.108910	−	1.44870i
$581$	−2.52461	−	7.76995i	−0.104738	−	0.322352i
$582$	16.3857	−	5.20735i	0.679210	−	0.215852i
$583$	−8.75500	−	4.46090i	−0.362595	−	0.184751i
$584$	−16.2935	+	30.5028i	−0.674231	+	1.26222i
$585$	−7.19051	−	4.24562i	−0.297291	−	0.175535i
$586$	2.35620	+	15.5244i	0.0973339	+	0.641307i
$587$	−6.64370	−	41.9467i	−0.274215	−	1.73132i	−0.612668	−	0.790340i	$-0.709904\pi$
$587$	−6.64370	−	41.9467i	−0.274215	−	1.73132i	0.338453	−	0.940983i	$-0.390096\pi$
$588$	1.84953	+	1.89791i	0.0762732	+	0.0782684i
$589$	−3.76963	−	5.18845i	−0.155325	−	0.213786i
$590$	7.83169	+	31.2472i	0.322426	+	1.28643i
$591$	14.6931	−	20.2233i	0.604393	−	0.831876i
$592$	−18.4412	+	17.5126i	−0.757927	+	0.719765i
$593$	−4.59594	−	4.59594i	−0.188733	−	0.188733i	0.606415	−	0.795148i	$-0.292607\pi$
$593$	−4.59594	−	4.59594i	−0.188733	−	0.188733i	−0.795148	+	0.606415i	$0.792607\pi$
$594$	3.27940	−	19.8742i	0.134555	−	0.815447i
$595$	−2.12719	−	8.26069i	−0.0872065	−	0.338655i
$596$	28.8597	−	8.96689i	1.18214	−	0.367298i
$597$	−12.1488	−	23.8433i	−0.497216	−	0.975841i
$598$	−17.1939	−	12.6625i	−0.703110	−	0.517806i
$599$	−5.19152			−0.212120			−0.106060	−	0.994360i	$-0.533823\pi$
$599$	−5.19152			−0.212120			−0.106060	+	0.994360i	$0.533823\pi$
$600$	18.7370	−	0.252240i	0.764936	−	0.0102976i
$601$	−23.3327			−0.951761			−0.475881	−	0.879510i	$-0.657871\pi$
$601$	−23.3327			−0.951761			−0.475881	+	0.879510i	$0.657871\pi$
$602$	−13.7069	−	10.0945i	−0.558652	−	0.411420i
$603$	0.698224	+	1.37034i	0.0284339	+	0.0558046i
$604$	6.07965	−	1.88898i	0.247377	−	0.0768616i
$605$	−3.76797	+	9.53644i	−0.153190	+	0.387711i
$606$	−0.653623	+	3.96116i	−0.0265516	+	0.160911i
$607$	−5.45194	−	5.45194i	−0.221287	−	0.221287i	0.587753	−	0.809040i	$-0.300013\pi$
$607$	−5.45194	−	5.45194i	−0.221287	−	0.221287i	−0.809040	+	0.587753i	$0.800013\pi$
$608$	−3.21355	−	11.0967i	−0.130327	−	0.450029i
$609$	6.09321	−	8.38659i	0.246910	−	0.339842i
$610$	−31.4307	−	2.15896i	−1.27259	−	0.0874137i
$611$	22.6349	+	31.1542i	0.915709	+	1.26037i
$612$	6.62573	+	6.79905i	0.267829	+	0.274835i
$613$	−7.18294	−	45.3513i	−0.290116	−	1.83172i	−0.514826	−	0.857295i	$-0.672143\pi$
$613$	−7.18294	−	45.3513i	−0.290116	−	1.83172i	0.224710	−	0.974426i	$-0.427857\pi$
$614$	−2.88117	−	18.9832i	−0.116274	−	0.766102i
$615$	6.08349	−	27.3064i	0.245310	−	1.10110i
$616$	−6.31849	−	3.37511i	−0.254579	−	0.135987i
$617$	35.9361	+	18.3104i	1.44673	+	0.737147i	0.988434	−	0.151651i	$-0.0484590\pi$
$617$	35.9361	+	18.3104i	1.44673	+	0.737147i	0.458299	+	0.888798i	$0.348459\pi$
$618$	9.49068	−	3.01612i	0.381771	−	0.121326i
$619$	−3.38175	−	10.4080i	−0.135924	−	0.418331i	0.859809	−	0.510616i	$-0.170583\pi$
$619$	−3.38175	−	10.4080i	−0.135924	−	0.418331i	−0.995733	+	0.0922855i	$0.970583\pi$
$620$	7.37985	+	11.9487i	0.296382	+	0.479870i
$621$	8.74319	−	26.9088i	0.350852	−	1.07981i
$622$	0.308650	−	47.8154i	0.0123758	−	1.91722i
$623$	1.60167	−	10.1125i	0.0641696	−	0.405151i
$624$	−5.30437	+	14.9962i	−0.212345	+	0.600330i
$625$	24.2320	+	6.14893i	0.969281	+	0.245957i
$626$	−16.4022	+	31.6838i	−0.655562	+	1.26634i
$627$	6.76903	+	1.07211i	0.270329	+	0.0428159i
$628$	−39.8219	−	20.9422i	−1.58907	−	0.835683i
$629$	23.0672	+	7.49498i	0.919748	+	0.298844i
$630$	−3.37530	−	2.02243i	−0.134475	−	0.0805755i
$631$	13.6203	−	4.42551i	0.542216	−	0.176177i	−0.0250875	−	0.999685i	$-0.507986\pi$
$631$	13.6203	−	4.42551i	0.542216	−	0.176177i	0.567304	+	0.823508i	$0.307986\pi$
$632$	7.96515	+	6.02608i	0.316837	+	0.239705i
$633$	2.17583	−	4.27030i	0.0864814	−	0.169729i
$634$	1.40940	+	2.81080i	0.0559742	+	0.111631i
$635$	−25.1306	−	5.59876i	−0.997279	−	0.222180i
$636$	−3.30311	+	9.73641i	−0.130977	+	0.386074i
$637$	−2.96425	+	0.469492i	−0.117448	+	0.0186019i
$638$	−8.83101	+	26.5937i	−0.349623	+	1.05286i
$639$	1.91329	−	1.39008i	0.0756884	−	0.0549908i
$640$	5.19565	+	24.7589i	0.205376	+	0.978683i
$641$	−5.27914	−	3.83552i	−0.208514	−	0.151494i	0.478627	−	0.878018i	$-0.341135\pi$
$641$	−5.27914	−	3.83552i	−0.208514	−	0.151494i	−0.687141	+	0.726524i	$0.741135\pi$
$642$	−13.4606	+	9.64754i	−0.531246	+	0.380758i
$643$	10.9471	−	10.9471i	0.431711	−	0.431711i	−0.457499	−	0.889210i	$-0.651255\pi$
$643$	10.9471	−	10.9471i	0.431711	−	0.431711i	0.889210	+	0.457499i	$0.151255\pi$
$644$	−8.06334	−	6.01892i	−0.317740	−	0.237179i
$645$	−33.1686	−	13.1053i	−1.30601	−	0.516022i
$646$	−7.84086	+	7.74028i	−0.308495	+	0.304537i
$647$	36.0921	−	18.3899i	1.41893	−	0.722980i	0.434814	−	0.900520i	$-0.356814\pi$
$647$	36.0921	−	18.3899i	1.41893	−	0.722980i	0.984114	+	0.177540i	$0.0568141\pi$
$648$	−10.5164	−	0.203674i	−0.413124	−	0.00800108i
$649$		−	25.7999i		−	1.01273i
$650$	−12.0168	+	17.4917i	−0.471337	+	0.686080i
$651$			4.16102i			0.163083i
$652$	14.1687	+	28.7182i	0.554887	+	1.12469i
$653$	−31.3906	+	15.9943i	−1.22841	+	0.625906i	−0.943094	−	0.332527i	$-0.892099\pi$
$653$	−31.3906	+	15.9943i	−1.22841	+	0.625906i	−0.285316	+	0.958433i	$0.592099\pi$
$654$	1.02792	+	1.04128i	0.0401949	+	0.0407172i
$655$	10.0596	−	2.59044i	0.393063	−	0.101217i
$656$	37.7562	+	0.975074i	1.47413	+	0.0380703i
$657$	10.7575	−	10.7575i	0.419692	−	0.419692i
$658$	10.5709	+	14.7489i	0.412097	+	0.574972i
$659$	−16.5219	−	12.0039i	−0.643602	−	0.467604i	0.217484	−	0.976064i	$-0.430215\pi$
$659$	−16.5219	−	12.0039i	−0.643602	−	0.467604i	−0.861086	+	0.508460i	$0.830215\pi$
$660$	−14.6053	−	3.45235i	−0.568510	−	0.134383i
$661$	22.6806	−	16.4784i	0.882174	−	0.640937i	−0.0516516	−	0.998665i	$-0.516449\pi$
$661$	22.6806	−	16.4784i	0.882174	−	0.640937i	0.933826	+	0.357728i	$0.116449\pi$
$662$	−40.6706	−	13.5055i	−1.58071	−	0.524907i
$663$	14.9835	−	2.37316i	0.581912	−	0.0921657i
$664$	16.6529	−	16.0202i	0.646259	−	0.621702i
$665$	2.32180	−	3.93228i	0.0900356	−	0.152487i
$666$	10.0012	−	5.01482i	0.387539	−	0.194320i
$667$	−17.8692	+	35.0703i	−0.691899	+	1.35793i
$668$	−39.7376	−	6.82081i	−1.53750	−	0.263905i
$669$	−1.54394	+	0.501657i	−0.0596923	+	0.0193952i
$670$	3.59601	−	1.53165i	0.138926	−	0.0591726i
$671$	23.9971	+	7.79714i	0.926399	+	0.301005i
$672$	−2.54506	+	7.05018i	−0.0981779	+	0.271967i
$673$	−15.5414	−	2.46152i	−0.599077	−	0.0948845i	−0.150472	−	0.988614i	$-0.548079\pi$
$673$	−15.5414	−	2.46152i	−0.599077	−	0.0948845i	−0.448606	+	0.893730i	$0.648079\pi$
$674$	−26.1809	−	13.5534i	−1.00845	−	0.522058i
$675$	−27.0136	−	7.80689i	−1.03975	−	0.300487i
$676$	4.60999	+	6.52049i	0.177307	+	0.250788i
$677$	5.01857	−	31.6860i	0.192879	−	1.21779i	−0.681233	−	0.732067i	$-0.738556\pi$
$677$	5.01857	−	31.6860i	0.192879	−	1.21779i	0.874112	−	0.485724i	$-0.161444\pi$
$678$	−25.1056	−	0.162058i	−0.964175	−	0.00622378i
$679$	−2.83531	+	8.72618i	−0.108809	+	0.334880i
$680$	18.3925	−	15.6150i	0.705319	−	0.598808i
$681$	−5.03907	−	15.5087i	−0.193098	−	0.594293i
$682$	−3.40662	−	10.7195i	−0.130446	−	0.410469i
$683$	−4.62222	−	2.35514i	−0.176864	−	0.0901168i	0.363317	−	0.931666i	$-0.381644\pi$
$683$	−4.62222	−	2.35514i	−0.176864	−	0.0901168i	−0.540181	+	0.841549i	$0.681644\pi$
$684$	−0.0656102	+	5.08188i	−0.00250867	+	0.194311i
$685$	−1.00436	+	0.0956546i	−0.0383747	+	0.00365478i
$686$	−1.39820	+	0.212211i	−0.0533836	+	0.00810225i
$687$	−2.89980	−	18.3086i	−0.110634	−	0.698517i
$688$	8.75721	−	47.3448i	0.333865	−	1.80500i
$689$	−6.84406	−	9.42004i	−0.260738	−	0.358875i
$690$	−19.5552	−	7.87283i	−0.744455	−	0.299713i
$691$	10.3270	−	14.2139i	0.392857	−	0.540721i	−0.566077	−	0.824353i	$-0.691539\pi$
$691$	10.3270	−	14.2139i	0.392857	−	0.540721i	0.958933	+	0.283632i	$0.0915393\pi$
$692$	−1.95526	−	13.4681i	−0.0743279	−	0.511982i
$693$	2.22837	+	2.22837i	0.0846486	+	0.0846486i
$694$	10.7672	+	1.77668i	0.408718	+	0.0674418i
$695$	5.44818	−	3.46291i	0.206661	−	0.131356i
$696$	28.8654	+	5.14665i	1.09414	+	0.195083i
$697$	−16.3528	−	32.0943i	−0.619408	−	1.21566i
$698$	−13.1654	+	17.8769i	−0.498319	+	0.676649i
$699$	−26.5083			−1.00264
$700$	−5.71557	+	8.20562i	−0.216028	+	0.310143i
$701$	9.03356			0.341193			0.170596	−	0.985341i	$-0.445431\pi$
$701$	9.03356			0.341193			0.170596	+	0.985341i	$0.445431\pi$
$702$	14.1544	−	19.2198i	0.534225	−	0.725405i
$703$	5.89477	+	11.5691i	0.222325	+	0.436338i
$704$	0.784515	−	20.2461i	0.0295675	−	0.763052i
$705$	29.3094	+	24.2121i	1.10386	+	0.911879i
$706$	−10.6611	−	1.75917i	−0.401236	−	0.0662073i
$707$	−1.51496	−	1.51496i	−0.0569758	−	0.0569758i
$708$	−26.7157	+	3.87851i	−1.00404	+	0.145763i
$709$	11.0879	−	15.2612i	0.416416	−	0.573148i	−0.548352	−	0.836247i	$-0.684745\pi$
$709$	11.0879	−	15.2612i	0.416416	−	0.573148i	0.964769	+	0.263099i	$0.0847447\pi$
$710$	−3.19125	−	5.09311i	−0.119766	−	0.191141i
$711$	−2.58268	−	3.55476i	−0.0968582	−	0.133314i
$712$	27.7099	−	8.41388i	1.03847	−	0.315323i
$713$	−2.47152	−	15.6045i	−0.0925590	−	0.584394i
$714$	7.06753	−	1.07267i	0.264496	−	0.0401436i
$715$	12.7413	−	11.2489i	0.476496	−	0.420685i
$716$	−7.02529	−	0.0907008i	−0.262547	−	0.00338965i
$717$	−16.9171	−	8.61971i	−0.631782	−	0.321909i
$718$	−9.88649	−	31.1093i	−0.368961	−	1.16099i
$719$	−2.21278	−	6.81025i	−0.0825229	−	0.253979i	0.901279	−	0.433240i	$-0.142630\pi$
$719$	−2.21278	−	6.81025i	−0.0825229	−	0.253979i	−0.983802	+	0.179260i	$0.942630\pi$
$720$	0.977528	−	11.0863i	0.0364303	−	0.413164i
$721$	−1.64222	+	5.05425i	−0.0611596	+	0.188230i
$722$	20.9713	+	0.135371i	0.780472	+	0.00503798i
$723$	2.42276	−	15.2967i	0.0901034	−	0.568891i
$724$	6.32928	−	4.47480i	0.235226	−	0.166305i
$725$	35.4182	+	16.6056i	1.31540	+	0.616715i
$726$	−7.63102	−	3.95045i	−0.283214	−	0.146615i
$727$	−15.7476	−	2.49417i	−0.584046	−	0.0925037i	−0.142582	−	0.989783i	$-0.545540\pi$
$727$	−15.7476	−	2.49417i	−0.584046	−	0.0925037i	−0.441463	+	0.897279i	$0.645540\pi$
$728$	−4.85561	−	6.96282i	−0.179961	−	0.258059i
$729$	25.6619	+	8.33804i	0.950439	+	0.308816i
$730$	−25.4016	−	29.1486i	−0.940154	−	1.07884i
$731$	−43.6714	+	14.1897i	−1.61524	+	0.524825i
$732$	4.46643	−	26.0212i	0.165084	−	0.961770i
$733$	17.5601	−	34.4636i	0.648597	−	1.27294i	−0.299237	−	0.954179i	$-0.596732\pi$
$733$	17.5601	−	34.4636i	0.648597	−	1.27294i	0.947834	−	0.318764i	$-0.103268\pi$
$734$	−2.51370	+	1.26042i	−0.0927824	+	0.0465231i
$735$	−2.71834	+	1.17861i	−0.100268	+	0.0434736i
$736$	5.35683	−	27.9511i	0.197456	−	1.03029i
$737$	−3.09185	+	0.489701i	−0.113890	+	0.0180384i
$738$	−15.7688	−	5.23637i	−0.580458	−	0.192753i
$739$	4.75219	−	3.45267i	0.174812	−	0.127009i	−0.496939	−	0.867786i	$-0.665543\pi$
$739$	4.75219	−	3.45267i	0.174812	−	0.127009i	0.671751	+	0.740777i	$0.265543\pi$
$740$	−10.9730	−	26.2308i	−0.403374	−	0.964264i
$741$	6.57028	+	4.77359i	0.241365	+	0.175362i
$742$	−3.19630	−	4.45959i	−0.117340	−	0.163717i
$743$	−23.8781	+	23.8781i	−0.876003	+	0.876003i	−0.993118	−	0.117116i	$-0.962635\pi$
$743$	−23.8781	+	23.8781i	−0.876003	+	0.876003i	0.117116	+	0.993118i	$0.462635\pi$
$744$	−10.5879	+	5.13902i	−0.388170	+	0.188406i
$745$	−2.09777	+	33.7226i	−0.0768565	+	1.23550i
$746$	−29.3439	−	29.7252i	−1.07436	−	1.08832i
$747$	−9.05770	+	4.61513i	−0.331404	+	0.168859i
$748$	−17.3289	+	8.54956i	−0.633608	+	0.312603i
$749$		−	8.83777i		−	0.322925i
$750$	−7.18222	+	19.6810i	−0.262257	+	0.718647i
$751$			32.6409i			1.19108i	0.803324	+	0.595542i	$0.203063\pi$
$751$			32.6409i			1.19108i	−0.803324	+	0.595542i	$0.796937\pi$
$752$	−24.4736	+	45.1136i	−0.892461	+	1.64512i
$753$	6.36569	−	3.24348i	0.231979	−	0.118199i
$754$	−23.6311	+	23.3280i	−0.860593	+	0.849554i
$755$	−0.441921	+	7.10406i	−0.0160832	+	0.258543i
$756$	6.72811	−	9.01342i	0.244699	−	0.327815i
$757$	−28.6195	+	28.6195i	−1.04019	+	1.04019i	−0.0410343	+	0.999158i	$0.513065\pi$
$757$	−28.6195	+	28.6195i	−1.04019	+	1.04019i	−0.999158	+	0.0410343i	$0.986935\pi$
$758$	22.0822	−	15.8269i	0.802061	−	0.574858i
$759$	13.6589	+	9.92376i	0.495786	+	0.360210i
$760$	12.8734	+	1.05140i	0.466966	+	0.0381382i
$761$	−2.60286	+	1.89109i	−0.0943537	+	0.0685520i	−0.633962	−	0.773364i	$-0.718572\pi$
$761$	−2.60286	+	1.89109i	−0.0943537	+	0.0685520i	0.539608	+	0.841916i	$0.318572\pi$
$762$	6.79977	−	20.4768i	0.246330	−	0.741798i
$763$	−0.771216	+	0.122149i	−0.0279199	+	0.00442207i
$764$	27.7451	+	9.41260i	1.00378	+	0.340536i
$765$	−9.73817	+	4.22224i	−0.352084	+	0.152655i
$766$	9.28875	+	18.5248i	0.335616	+	0.669329i
$767$	13.8798	−	27.2407i	0.501171	−	0.983603i
$768$	−21.0827	+	2.23124i	−0.760757	+	0.0805128i
$769$	1.03106	−	0.335013i	0.0371811	−	0.0120809i	−0.290367	−	0.956915i	$-0.593778\pi$
$769$	1.03106	−	0.335013i	0.0371811	−	0.0120809i	0.327549	+	0.944834i	$0.393778\pi$
$770$	6.03796	−	5.26179i	0.217593	−	0.189622i
$771$	−23.8783	−	7.75852i	−0.859955	−	0.279416i
$772$	24.3442	−	46.2910i	0.876168	−	1.66605i
$773$	−21.5265	−	3.40946i	−0.774253	−	0.122630i	−0.243209	−	0.969974i	$-0.578200\pi$
$773$	−21.5265	−	3.40946i	−0.774253	−	0.122630i	−0.531044	+	0.847344i	$0.678200\pi$
$774$	−9.73785	+	18.8104i	−0.350020	+	0.676127i
$775$	−15.4193	+	2.96394i	−0.553879	+	0.106468i
$776$	−25.7058	+	3.56262i	−0.922786	+	0.127891i
$777$	1.31787	−	8.32070i	0.0472783	−	0.298503i
$778$	0.0244565	−	3.78875i	0.000876808	−	0.135833i
$779$	5.95883	−	18.3394i	0.213497	−	0.657077i
$780$	−13.5636	−	11.5025i	−0.485656	−	0.411856i
$781$	1.48749	+	4.57804i	0.0532267	+	0.163815i
$782$	−25.8673	+	8.22059i	−0.925014	+	0.293968i
$783$	−39.2026	−	19.9747i	−1.40099	−	0.713838i
$784$	−2.26681	−	3.29569i	−0.0809576	−	0.117703i
$785$	37.7098	−	33.2929i	1.34592	−	1.18828i
$786$	1.30627	+	8.60665i	0.0465931	+	0.306989i
$787$	7.06942	+	44.6345i	0.251997	+	1.59105i	0.711378	+	0.702810i	$0.248072\pi$
$787$	7.06942	+	44.6345i	0.251997	+	1.59105i	−0.459380	+	0.888240i	$0.651928\pi$
$788$	−27.0221	+	26.3333i	−0.962624	+	0.938084i
$789$	5.95428	+	8.19536i	0.211978	+	0.291763i
$790$	−9.46266	+	5.92914i	−0.336666	+	0.210949i
$791$	7.87514	−	10.8392i	0.280008	−	0.385398i
$792$	−2.91804	+	8.42228i	−0.103688	+	0.299273i
$793$	21.1426	+	21.1426i	0.750794	+	0.750794i
$794$	−1.07069	+	6.48869i	−0.0379973	+	0.230275i
$795$	−8.86222	−	7.32095i	−0.314311	−	0.259647i
$796$	11.9847	+	38.5725i	0.424787	+	1.36717i
$797$	−6.17819	−	12.1254i	−0.218843	−	0.429503i	0.755318	−	0.655358i	$-0.227482\pi$
$797$	−6.17819	−	12.1254i	−0.218843	−	0.429503i	−0.974161	+	0.225855i	$0.927482\pi$
$798$	3.08143	+	2.26932i	0.109081	+	0.0803332i
$799$	48.9482			1.73166
$800$	−27.9385	−	4.40923i	−0.987774	−	0.155890i
$801$	−12.7399			−0.450142
$802$	13.7715	+	10.1421i	0.486290	+	0.358129i
$803$	14.0581	+	27.5905i	0.496099	+	0.973648i
$804$	0.971885	+	3.12799i	0.0342757	+	0.110316i
$805$	9.49419	−	6.03459i	0.334626	−	0.212691i
$806$	2.16999	−	13.1508i	0.0764346	−	0.463217i
$807$	−17.7764	−	17.7764i	−0.625759	−	0.625759i
$808$	1.98384	−	5.72590i	0.0697911	−	0.201436i
$809$	−28.0050	+	38.5456i	−0.984605	+	1.35519i	−0.0502937	+	0.998734i	$0.516016\pi$
$809$	−28.0050	+	38.5456i	−0.984605	+	1.35519i	−0.934311	+	0.356458i	$0.883984\pi$
$810$	4.39191	−	10.9090i	0.154316	−	0.383304i
$811$	12.9741	+	17.8572i	0.455581	+	0.627053i	0.973585	−	0.228325i	$-0.0733249\pi$
$811$	12.9741	+	17.8572i	0.455581	+	0.627053i	−0.518004	+	0.855378i	$0.673325\pi$
$812$	−11.2061	+	10.9204i	−0.393255	+	0.383230i
$813$	−1.23666	−	7.80796i	−0.0433716	−	0.273837i
$814$	3.41711	+	22.5144i	0.119770	+	0.789130i
$815$	−35.6417	+	3.39449i	−1.24847	+	0.118904i
$816$	11.4581	+	16.6588i	0.401115	+	0.583176i
$817$	−21.9030	−	11.1601i	−0.766289	−	0.390444i
$818$	30.5742	−	9.71642i	1.06900	−	0.339727i
$819$	1.15399	+	3.55163i	0.0403238	+	0.124104i
$820$	−16.0227	+	39.0689i	−0.559538	+	1.36434i
$821$	2.68845	−	8.27420i	0.0938275	−	0.288772i	−0.893119	−	0.449821i	$-0.851488\pi$
$821$	2.68845	−	8.27420i	0.0938275	−	0.288772i	0.986946	+	0.161049i	$0.0514878\pi$
$822$	0.00545752	−	0.845467i	0.000190353	−	0.0294891i
$823$	2.15359	−	13.5973i	0.0750695	−	0.473970i	−0.921301	−	0.388850i	$-0.872872\pi$
$823$	2.15359	−	13.5973i	0.0750695	−	0.473970i	0.996371	−	0.0851205i	$-0.0271275\pi$
$824$	−14.8889	+	2.06349i	−0.518681	+	0.0718850i
$825$	9.41173	−	13.8910i	0.327674	−	0.483624i
$826$	6.62310	−	12.7937i	0.230447	−	0.445151i
$827$	6.41970	+	1.01678i	0.223235	+	0.0353569i	0.267050	−	0.963683i	$-0.413951\pi$
$827$	6.41970	+	1.01678i	0.223235	+	0.0353569i	−0.0438150	+	0.999040i	$0.513951\pi$
$828$	−5.82760	+	11.0813i	−0.202523	+	0.385101i
$829$	16.9023	+	5.49188i	0.587040	+	0.190741i	0.587452	−	0.809259i	$-0.300131\pi$
$829$	16.9023	+	5.49188i	0.587040	+	0.190741i	−0.000412026		1.00000i	$0.500131\pi$
$830$	10.1239	+	23.7690i	0.351405	+	0.825033i
$831$	30.6395	−	9.95537i	1.06287	−	0.345348i
$832$	11.7203	−	20.9546i	0.406328	−	0.726472i
$833$	−1.73189	+	3.39902i	−0.0600064	+	0.117769i
$834$	2.42488	+	4.83602i	0.0839668	+	0.167458i
$835$	22.9191	−	38.8165i	0.793148	−	1.34330i
$836$	−9.79616	−	3.32338i	−0.338807	−	0.114942i
$837$	17.4432	−	2.76273i	0.602925	−	0.0954939i
$838$	0.562722	−	1.69458i	0.0194389	−	0.0585384i
$839$	17.6584	−	12.8295i	0.609634	−	0.442925i	−0.239651	−	0.970859i	$-0.577033\pi$
$839$	17.6584	−	12.8295i	0.609634	−	0.442925i	0.849286	+	0.527934i	$0.177033\pi$
$840$	−6.35627	−	5.46130i	−0.219312	−	0.188433i
$841$	26.0565	+	18.9312i	0.898500	+	0.652798i
$842$	23.9581	−	17.1714i	0.825650	−	0.591765i
$843$	−5.46252	+	5.46252i	−0.188139	+	0.188139i
$844$	−4.32728	+	5.79710i	−0.148951	+	0.199545i
$845$	−8.64605	+	2.22643i	−0.297433	+	0.0765914i
$846$	16.0685	−	15.8623i	0.552445	−	0.545359i
$847$	4.08585	−	2.08184i	0.140391	−	0.0715330i
$848$	7.40004	−	13.6409i	0.254118	−	0.468430i
$849$			1.96632i			0.0674839i
$850$	9.00923	+	25.4258i	0.309014	+	0.872099i
$851$			31.9868i			1.09649i
$852$	4.51694	−	2.22852i	0.154748	−	0.0763478i
$853$	−0.222777	+	0.113511i	−0.00762775	+	0.00388654i	−0.457800	−	0.889055i	$-0.651363\pi$
$853$	−0.222777	+	0.113511i	−0.00762775	+	0.00388654i	0.450172	+	0.892942i	$0.351363\pi$
$854$	9.89818	+	10.0268i	0.338709	+	0.343110i
$855$	−5.28464	−	2.08803i	−0.180731	−	0.0714090i
$856$	22.4880	−	10.9150i	0.768626	−	0.373067i
$857$	−1.47610	+	1.47610i	−0.0504226	+	0.0504226i	−0.731868	−	0.681446i	$-0.761351\pi$
$857$	−1.47610	+	1.47610i	−0.0504226	+	0.0504226i	0.681446	+	0.731868i	$0.261351\pi$
$858$	8.29747	+	11.5769i	0.283271	+	0.395229i
$859$	−14.1868	−	10.3073i	−0.484047	−	0.351681i	0.318843	−	0.947807i	$-0.396706\pi$
$859$	−14.1868	−	10.3073i	−0.484047	−	0.351681i	−0.802890	+	0.596127i	$0.796706\pi$
$860$	45.9967	+	27.9657i	1.56848	+	0.953621i
$861$	−10.1218	+	7.35389i	−0.344949	+	0.250620i
$862$	−43.0453	−	14.2941i	−1.46613	−	0.486859i
$863$	−42.8416	+	6.78544i	−1.45834	+	0.230979i	−0.834690	−	0.550721i	$-0.814353\pi$
$863$	−42.8416	+	6.78544i	−1.45834	+	0.230979i	−0.623655	+	0.781700i	$0.714353\pi$
$864$	31.2445	+	5.98802i	1.06296	+	0.203717i
$865$	14.8516	+	3.30873i	0.504969	+	0.112500i
$866$	−35.0947	+	17.5972i	−1.19257	+	0.597978i
$867$	−1.47212	+	2.88920i	−0.0499958	+	0.0981222i
$868$	1.06251	−	6.19012i	0.0360639	−	0.210106i
$869$	8.50569	−	2.76367i	0.288536	−	0.0937510i
$870$	−16.8491	+	28.1199i	−0.571237	+	0.953355i
$871$	−3.52797	−	1.14631i	−0.119541	−	0.0388411i
$872$	−1.26329	−	1.81153i	−0.0427805	−	0.0613462i
$873$	11.2762	+	1.78598i	0.381642	+	0.0604461i
$874$	−12.9038	−	6.68008i	−0.436478	−	0.225957i
$875$	−6.30383	−	9.23373i	−0.213108	−	0.312157i
$876$	26.4566	−	18.7048i	0.893886	−	0.631977i
$877$	−0.606651	+	3.83024i	−0.0204851	+	0.129338i	−0.995812	−	0.0914298i	$-0.970856\pi$
$877$	−0.606651	+	3.83024i	−0.0204851	+	0.129338i	0.975326	+	0.220768i	$0.0708563\pi$
$878$	19.4453	+	0.125520i	0.656247	+	0.00423610i
$879$	4.54624	−	13.9919i	0.153341	−	0.471935i
$880$	20.8460	+	8.86532i	0.702717	+	0.298850i
$881$	4.35874	+	13.4148i	0.146850	+	0.451957i	0.997244	−	0.0741884i	$-0.0236366\pi$
$881$	4.35874	+	13.4148i	0.146850	+	0.451957i	−0.850394	+	0.526146i	$0.823637\pi$
$882$	0.532965	+	1.67706i	0.0179459	+	0.0564694i
$883$	−38.6843	−	19.7107i	−1.30183	−	0.663316i	−0.340899	−	0.940100i	$-0.610731\pi$
$883$	−38.6843	−	19.7107i	−1.30183	−	0.663316i	−0.960932	+	0.276784i	$0.910731\pi$
$884$	−22.8962	−	0.295603i	−0.770081	−	0.00994222i
$885$	6.56328	−	29.4600i	0.220622	−	0.990286i
$886$	56.0422	−	8.50576i	1.88277	−	0.285757i
$887$	0.0857833	+	0.541614i	0.00288032	+	0.0181856i	0.989087	−	0.147335i	$-0.0470695\pi$
$887$	0.0857833	+	0.541614i	0.00288032	+	0.0181856i	−0.986206	+	0.165521i	$0.947070\pi$
$888$	22.8000	−	6.92302i	0.765117	−	0.232321i
$889$	6.76793	+	9.31526i	0.226989	+	0.312424i
$890$	−2.21875	+	32.3012i	−0.0743727	+	1.08274i
$891$	−5.53604	+	7.61971i	−0.185464	+	0.255270i
$892$	2.42494	−	0.352045i	0.0811929	−	0.0117873i
$893$	18.5291	+	18.5291i	0.620052	+	0.620052i
$894$	−27.9371	−	4.60985i	−0.934356	−	0.154176i
$895$	2.88653	−	7.30559i	0.0964860	−	0.244199i
$896$	5.58641	−	9.83830i	0.186629	−	0.328674i
$897$	9.08288	+	17.8262i	0.303269	+	0.595198i
$898$	−27.2034	+	36.9385i	−0.907791	+	1.23266i
$899$	−24.5684			−0.819403
$900$	11.1971	+	5.42709i	0.373237	+	0.180903i
$901$	−14.8004			−0.493072
$902$	20.0547	−	27.2315i	0.667748	−	0.906710i
$903$	7.24085	+	14.2110i	0.240960	+	0.472911i
$904$	37.3069	+	6.65177i	1.24081	+	0.221234i
$905$	2.16113	+	8.39249i	0.0718386	+	0.278976i
$906$	−5.88528	−	0.971119i	−0.195525	−	0.0322633i
$907$	26.8002	+	26.8002i	0.889887	+	0.889887i	0.994512	−	0.104624i	$-0.0333641\pi$
$907$	26.8002	+	26.8002i	0.889887	+	0.889887i	−0.104624	+	0.994512i	$0.533364\pi$
$908$	3.53624	+	24.3581i	0.117354	+	0.808353i
$909$	−1.56697	+	2.15674i	−0.0519730	+	0.0715346i
$910$	9.20590	−	2.30733i	0.305172	−	0.0764873i
$911$	−1.41502	−	1.94761i	−0.0468817	−	0.0645272i	0.784933	−	0.619581i	$-0.212698\pi$
$911$	−1.41502	−	1.94761i	−0.0468817	−	0.0645272i	−0.831814	+	0.555054i	$0.812698\pi$
$912$	−1.96870	+	10.6435i	−0.0651900	+	0.352442i
$913$	−3.23683	−	20.4366i	−0.107124	−	0.676351i
$914$	−0.138784	+	0.0210639i	−0.00459058	+	0.000696732i
$915$	25.4180	+	15.0080i	0.840292	+	0.496148i
$916$	−0.361203	+	27.9772i	−0.0119345	+	0.924393i
$917$	−4.13924	−	2.10905i	−0.136690	−	0.0696469i
$918$	−9.18920	−	28.9152i	−0.303289	−	0.954345i
$919$	18.4348	+	56.7366i	0.608109	+	1.87157i	0.473812	+	0.880626i	$0.342878\pi$
$919$	18.4348	+	56.7366i	0.608109	+	1.87157i	0.134297	+	0.990941i	$0.457122\pi$
$920$	27.0810	+	16.7054i	0.892833	+	0.550760i
$921$	−5.55915	+	17.1093i	−0.183180	+	0.563771i
$922$	−15.6231	−	0.100848i	−0.514519	−	0.00332124i
$923$	−0.892329	+	5.63394i	−0.0293714	+	0.185443i
$924$	3.87460	+	5.48034i	0.127465	+	0.180290i
$925$	31.7724	−	1.04334i	1.04467	−	0.0343048i
$926$	18.9284	+	9.79892i	0.622026	+	0.322012i
$927$	6.53124	+	1.03445i	0.214514	+	0.0339757i
$928$	−41.6273	−	15.0271i	−1.36648	−	0.493290i
$929$	−2.83423	−	0.920897i	−0.0929881	−	0.0302137i	0.262153	−	0.965026i	$-0.415567\pi$
$929$	−2.83423	−	0.920897i	−0.0929881	−	0.0302137i	−0.355142	+	0.934813i	$0.615567\pi$
$930$	−1.16296	−	13.1068i	−0.0381350	−	0.429789i
$931$	−1.94228	+	0.631085i	−0.0636556	+	0.0206830i
$932$	39.4350	+	6.76886i	1.29174	+	0.221721i
$933$	−20.3392	+	39.9179i	−0.665876	+	1.30685i
$934$	7.17789	−	3.59915i	0.234868	−	0.117768i
$935$	−2.04828	−	21.5067i	−0.0669860	−	0.703344i
$936$	−7.61202	+	7.32278i	−0.248807	+	0.239352i
$937$	−50.7273	+	8.03441i	−1.65719	+	0.262473i	−0.913733	−	0.406314i	$-0.866814\pi$
$937$	−50.7273	+	8.03441i	−1.65719	+	0.262473i	−0.743454	+	0.668787i	$0.766814\pi$
$938$	−1.65891	−	0.550876i	−0.0541653	−	0.0179868i
$939$	27.0436	−	19.6483i	0.882533	−	0.641198i
$940$	−37.4195	−	43.5031i	−1.22049	−	1.41891i
$941$	−2.61605	−	1.90067i	−0.0852807	−	0.0619600i	0.544328	−	0.838873i	$-0.316785\pi$
$941$	−2.61605	−	1.90067i	−0.0852807	−	0.0619600i	−0.629609	+	0.776912i	$0.716785\pi$
$942$	24.5577	+	34.2637i	0.800133	+	1.11637i
$943$	33.5904	−	33.5904i	1.09385	−	1.09385i
$944$	40.7339	+	1.05198i	1.32578	+	0.0342389i
$945$	6.74563	+	10.6129i	0.219436	+	0.345237i
$946$	−30.2881	−	30.6817i	−0.984751	−	0.997547i
$947$	13.7079	−	6.98453i	0.445447	−	0.226967i	−0.216855	−	0.976204i	$-0.569580\pi$
$947$	13.7079	−	6.98453i	0.445447	−	0.226967i	0.662302	+	0.749237i	$0.269580\pi$
$948$	−4.14044	−	8.39218i	−0.134475	−	0.272565i
$949$			36.6943i			1.19115i
$950$	−6.21442	+	13.0352i	−0.201622	+	0.422918i
$951$		−	2.94606i		−	0.0955327i
$952$	−10.7879	−	0.208932i	−0.349638	−	0.00677152i
$953$	−10.7485	+	5.47666i	−0.348180	+	0.177406i	−0.619330	−	0.785131i	$-0.712596\pi$
$953$	−10.7485	+	5.47666i	−0.348180	+	0.177406i	0.271151	+	0.962537i	$0.412596\pi$
$954$	−4.85859	+	4.79626i	−0.157303	+	0.155285i
$955$	−20.8619	+	25.2539i	−0.675075	+	0.817199i
$956$	22.9657	+	17.1428i	0.742763	+	0.554439i
$957$	18.5647	−	18.5647i	0.600113	−	0.600113i
$958$	−2.17156	+	1.55642i	−0.0701600	+	0.0502855i
$959$	0.365026	+	0.265207i	0.0117873	+	0.00856397i
$960$	6.04625	−	22.9187i	0.195142	−	0.739698i
$961$	−17.1013	+	12.4248i	−0.551655	+	0.400801i
$962$	−8.50437	+	25.6101i	−0.274192	+	0.825702i
$963$	−10.8614	+	1.72028i	−0.350005	+	0.0554354i
$964$	−7.51020	+	22.1374i	−0.241887	+	0.712999i
$965$	38.7014	+	43.8358i	1.24584	+	1.41112i
$966$	4.22568	+	8.42741i	0.135959	+	0.271148i
$967$	9.15450	−	17.9667i	0.294389	−	0.577771i	−0.695680	−	0.718352i	$-0.744897\pi$
$967$	9.15450	−	17.9667i	0.294389	−	0.577771i	0.990069	+	0.140581i	$0.0448969\pi$
$968$	10.3435	+	7.82544i	0.332453	+	0.251519i
$969$	9.81770	−	3.18996i	0.315390	−	0.102476i
$970$	6.49207	−	28.2791i	0.208448	−	0.907986i
$971$	21.7307	+	7.06072i	0.697370	+	0.226589i	0.636184	−	0.771537i	$-0.280512\pi$
$971$	21.7307	+	7.06072i	0.697370	+	0.226589i	0.0611858	+	0.998126i	$0.480512\pi$
$972$	−21.1424	−	11.1187i	−0.678144	−	0.356633i
$973$	−2.85148	−	0.451629i	−0.0914141	−	0.0144786i
$974$	15.2582	−	29.4741i	0.488906	−	0.944411i
$975$	17.4104	−	9.60346i	0.557580	−	0.307557i
$976$	−13.2889	+	37.5698i	−0.425368	+	1.20258i
$977$	7.90944	−	49.9382i	0.253045	−	1.59767i	−0.454334	−	0.890831i	$-0.650123\pi$
$977$	7.90944	−	49.9382i	0.253045	−	1.59767i	0.707379	−	0.706834i	$-0.249877\pi$
$978$	0.193671	−	30.0030i	0.00619291	−	0.959392i
$979$	8.01307	−	24.6617i	0.256099	−	0.788192i
$980$	4.34489	−	1.05923i	0.138792	−	0.0338358i
$981$	0.300237	+	0.924033i	0.00958582	+	0.0295021i
$982$	−19.4536	+	6.18232i	−0.620790	+	0.197286i
$983$	48.2673	+	24.5934i	1.53949	+	0.784408i	0.998399	−	0.0565582i	$-0.0180126\pi$
$983$	48.2673	+	24.5934i	1.53949	+	0.784408i	0.541088	+	0.840966i	$0.318013\pi$
$984$	−31.2130	−	16.6729i	−0.995035	−	0.531512i
$985$	−16.7808	−	38.7034i	−0.534682	−	1.23319i
$986$	6.33350	+	41.7297i	0.201700	+	1.32895i
$987$	−2.65963	−	16.7922i	−0.0846570	−	0.534503i
$988$	−8.55532	−	8.77912i	−0.272181	−	0.279301i
$989$	−35.5953	−	48.9927i	−1.13186	−	1.55788i
$990$	−7.64194	−	6.39633i	−0.242877	−	0.203289i
$991$	13.5247	−	18.6151i	0.429626	−	0.591329i	−0.538241	−	0.842791i	$-0.680911\pi$
$991$	13.5247	−	18.6151i	0.429626	−	0.591329i	0.967867	+	0.251461i	$0.0809111\pi$
$992$	17.0633	−	4.94145i	0.541759	−	0.156891i
$993$	28.3916	+	28.3916i	0.900980	+	0.900980i
$994$	−0.437607	+	2.65203i	−0.0138800	+	0.0841173i
$995$	−45.0720	−	2.80378i	−1.42888	−	0.0888859i
$996$	−20.6754	+	6.42398i	−0.655127	+	0.203552i
$997$	−1.54267	−	3.02766i	−0.0488568	−	0.0958869i	0.865287	−	0.501276i	$-0.167136\pi$
$997$	−1.54267	−	3.02766i	−0.0488568	−	0.0958869i	−0.914144	+	0.405389i	$0.867136\pi$
$998$	46.6810	+	34.3783i	1.47766	+	1.08823i
$999$	−35.7558			−1.13126

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	700.2.bj.a.323.72	yes	720
4.3	odd	2	inner	700.2.bj.a.323.10	✓	720
25.12	odd	20	inner	700.2.bj.a.687.10	yes	720
100.87	even	20	inner	700.2.bj.a.687.72	yes	720

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
700.2.bj.a.323.10	✓	720	4.3	odd	2	inner
700.2.bj.a.323.72	yes	720	1.1	even	1	trivial
700.2.bj.a.687.10	yes	720	25.12	odd	20	inner
700.2.bj.a.687.72	yes	720	100.87	even	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:	\( N \)	\(=\)	\( 700 = 2^{2} \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	700.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.13873 + 0.838622i) q^{2} +(-0.601550 - 1.18061i) q^{3} +(0.593427 + 1.90993i) q^{4} +(-2.23175 - 0.138830i) q^{5} +(0.305079 - 1.84887i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-0.925956 + 2.67257i) q^{8} +(0.731381 - 1.00666i) q^{9} +O(q^{10})\)	\(q+(1.13873 + 0.838622i) q^{2} +(-0.601550 - 1.18061i) q^{3} +(0.593427 + 1.90993i) q^{4} +(-2.23175 - 0.138830i) q^{5} +(0.305079 - 1.84887i) q^{6} +(0.707107 + 0.707107i) q^{7} +(-0.925956 + 2.67257i) q^{8} +(0.731381 - 1.00666i) q^{9} +(-2.42495 - 2.02969i) q^{10} +(1.48866 + 2.04896i) q^{11} +(1.89791 - 1.84953i) q^{12} +(0.469492 + 2.96425i) q^{13} +(0.212211 + 1.39820i) q^{14} +(1.17861 + 2.71834i) q^{15} +(-3.29569 + 2.26681i) q^{16} +(3.39902 + 1.73189i) q^{17} +(1.67706 - 0.532965i) q^{18} +(0.631085 + 1.94228i) q^{19} +(-1.05923 - 4.34489i) q^{20} +(0.409456 - 1.26018i) q^{21} +(-0.0231196 + 3.58164i) q^{22} +(-0.787025 + 4.96908i) q^{23} +(3.71226 - 0.514490i) q^{24} +(4.96145 + 0.619670i) q^{25} +(-1.95126 + 3.76922i) q^{26} +(-5.55458 - 0.879759i) q^{27} +(-0.930910 + 1.77014i) q^{28} +(7.44062 + 2.41760i) q^{29} +(-0.937540 + 4.08387i) q^{30} +(-2.98663 + 0.970414i) q^{31} +(-5.65391 - 0.182542i) q^{32} +(1.52352 - 2.99008i) q^{33} +(2.41818 + 4.82265i) q^{34} +(-1.47992 - 1.67626i) q^{35} +(2.35668 + 0.799510i) q^{36} +(6.27964 - 0.994597i) q^{37} +(-0.910200 + 2.74098i) q^{38} +(3.21720 - 2.33743i) q^{39} +(2.43754 - 5.83596i) q^{40} +(-7.63890 - 5.54999i) q^{41} +(1.52307 - 1.09163i) q^{42} +(-8.51143 + 8.51143i) q^{43} +(-3.02997 + 4.05915i) q^{44} +(-1.77202 + 2.14508i) q^{45} +(-5.06339 + 4.99844i) q^{46} +(11.4326 - 5.82519i) q^{47} +(4.65874 + 2.52732i) q^{48} +1.00000i q^{49} +(5.13010 + 4.86642i) q^{50} -5.05473i q^{51} +(-5.38292 + 2.65577i) q^{52} +(-3.45685 + 1.76135i) q^{53} +(-5.58740 - 5.66000i) q^{54} +(-3.03786 - 4.77945i) q^{55} +(-2.54454 + 1.23504i) q^{56} +(1.91344 - 1.91344i) q^{57} +(6.44542 + 8.99287i) q^{58} +(-8.24136 - 5.98770i) q^{59} +(-4.49243 + 3.86420i) q^{60} +(8.05999 - 5.85593i) q^{61} +(-4.21478 - 1.39961i) q^{62} +(1.22898 - 0.194651i) q^{63} +(-6.28521 - 4.94936i) q^{64} +(-0.636262 - 6.68067i) q^{65} +(4.24242 - 2.12724i) q^{66} +(-0.561137 + 1.10129i) q^{67} +(-1.29072 + 7.51965i) q^{68} +(6.33998 - 2.05998i) q^{69} +(-0.279490 - 3.14990i) q^{70} +(1.80760 + 0.587326i) q^{71} +(2.01314 + 2.88679i) q^{72} +(12.0760 + 1.91265i) q^{73} +(7.98492 + 4.13366i) q^{74} +(-2.25297 - 6.23030i) q^{75} +(-3.33512 + 2.35793i) q^{76} +(-0.396195 + 2.50147i) q^{77} +(5.62376 + 0.0363016i) q^{78} +(1.09121 - 3.35841i) q^{79} +(7.66987 - 4.60143i) q^{80} +(1.14918 + 3.53680i) q^{81} +(-4.04433 - 12.7261i) q^{82} +(-7.27935 - 3.70901i) q^{83} +(2.64984 + 0.0342110i) q^{84} +(-7.34534 - 4.33704i) q^{85} +(-16.8301 + 2.55438i) q^{86} +(-1.62166 - 10.2388i) q^{87} +(-6.85442 + 2.08129i) q^{88} +(-6.01810 - 8.28320i) q^{89} +(-3.81677 + 0.956621i) q^{90} +(-1.76406 + 2.42803i) q^{91} +(-9.95766 + 1.44562i) q^{92} +(2.94228 + 2.94228i) q^{93} +(17.9038 + 2.95427i) q^{94} +(-1.13878 - 4.42230i) q^{95} +(3.18560 + 6.78486i) q^{96} +(4.16548 + 8.17521i) q^{97} +(-0.838622 + 1.13873i) q^{98} +3.15138 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 720 q+O(q^{10}) \) 720 * q	\( 720 q + 16 q^{10} + 16 q^{12} + 4 q^{13} + 20 q^{17} - 28 q^{18} - 20 q^{20} - 4 q^{22} + 20 q^{25} + 4 q^{30} - 20 q^{37} - 64 q^{40} - 80 q^{42} - 140 q^{44} - 20 q^{45} - 236 q^{48} - 40 q^{50} - 16 q^{52} + 44 q^{53} - 260 q^{54} + 16 q^{57} - 136 q^{58} - 140 q^{60} - 140 q^{62} - 4 q^{65} - 80 q^{68} - 80 q^{72} - 52 q^{73} + 76 q^{78} + 20 q^{80} + 180 q^{81} + 24 q^{82} - 80 q^{85} + 160 q^{88} - 260 q^{89} + 16 q^{90} + 256 q^{92} - 112 q^{93} + 320 q^{94} - 40 q^{96} - 20 q^{97}+O(q^{100}) \) 720 * q + 16 * q^10 + 16 * q^12 + 4 * q^13 + 20 * q^17 - 28 * q^18 - 20 * q^20 - 4 * q^22 + 20 * q^25 + 4 * q^30 - 20 * q^37 - 64 * q^40 - 80 * q^42 - 140 * q^44 - 20 * q^45 - 236 * q^48 - 40 * q^50 - 16 * q^52 + 44 * q^53 - 260 * q^54 + 16 * q^57 - 136 * q^58 - 140 * q^60 - 140 * q^62 - 4 * q^65 - 80 * q^68 - 80 * q^72 - 52 * q^73 + 76 * q^78 + 20 * q^80 + 180 * q^81 + 24 * q^82 - 80 * q^85 + 160 * q^88 - 260 * q^89 + 16 * q^90 + 256 * q^92 - 112 * q^93 + 320 * q^94 - 40 * q^96 - 20 * q^97

Introduction

L-functions

Modular forms

Varieties

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Representations

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