LMFDB - Embedded newform 294.2.p.a.101.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [294,2,Mod(5,294)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(294, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

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

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

chi := DirichletCharacter("294.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 294 = 2 \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	294.p (of order $42$, degree $12$, 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:	$2.34760181943$
Analytic rank:	$0$
Dimension:	$216$
Relative dimension:	$18$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.2
Character	$\chi$	$=$	294.101
Dual form			294.2.p.a.131.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.930874 - 0.365341i) q^{2} +(-1.53475 - 0.802829i) q^{3} +(0.733052 + 0.680173i) q^{4} +(2.55860 + 1.74442i) q^{5} +(1.13535 + 1.30804i) q^{6} +(-2.00673 - 1.72425i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(1.71093 + 2.46429i) q^{9} +(-1.74442 - 2.55860i) q^{10} +(0.534060 + 3.54325i) q^{11} +(-0.578991 - 1.63241i) q^{12} +(-2.98181 + 2.37792i) q^{13} +(1.23807 + 2.33820i) q^{14} +(-2.52634 - 4.73138i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(5.76272 + 1.77756i) q^{17} +(-0.692355 - 2.91901i) q^{18} +(5.02724 - 2.90248i) q^{19} +(0.689077 + 3.01904i) q^{20} +(1.69556 + 4.25736i) q^{21} +(0.797354 - 3.49344i) q^{22} +(0.630556 + 2.04421i) q^{23} +(-0.0574200 + 1.73110i) q^{24} +(1.67671 + 4.27220i) q^{25} +(3.64444 - 1.12416i) q^{26} +(-0.647452 - 5.15566i) q^{27} +(-0.298249 - 2.62889i) q^{28} +(5.09870 - 1.16375i) q^{29} +(0.623140 + 5.32729i) q^{30} +(6.99386 + 4.03790i) q^{31} +(0.294755 - 0.955573i) q^{32} +(2.02498 - 5.86678i) q^{33} +(-4.71495 - 3.76005i) q^{34} +(-2.12660 - 7.91225i) q^{35} +(-0.421941 + 2.97018i) q^{36} +(-3.31133 + 3.07246i) q^{37} +(-5.74011 + 0.865183i) q^{38} +(6.48541 - 1.25563i) q^{39} +(0.461537 - 3.06210i) q^{40} +(1.73040 - 0.833315i) q^{41} +(-0.0229606 - 4.58252i) q^{42} +(-4.97007 - 2.39346i) q^{43} +(-2.01853 + 2.96064i) q^{44} +(0.0788229 + 9.28972i) q^{45} +(0.159867 - 2.13327i) q^{46} +(-1.88182 + 4.79480i) q^{47} +(0.685892 - 1.59046i) q^{48} +(1.05393 + 6.92020i) q^{49} -4.58945i q^{50} +(-7.41727 - 7.35460i) q^{51} +(-3.80322 - 0.285012i) q^{52} +(-2.48418 + 2.67731i) q^{53} +(-1.28088 + 5.03581i) q^{54} +(-4.81449 + 9.99740i) q^{55} +(-0.682808 + 2.55612i) q^{56} +(-10.0458 + 0.418570i) q^{57} +(-5.17141 - 0.779465i) q^{58} +(-3.09328 + 2.10896i) q^{59} +(1.36621 - 5.18669i) q^{60} +(-7.51218 - 8.09620i) q^{61} +(-5.03518 - 6.31392i) q^{62} +(0.815673 - 7.89523i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-11.7774 + 0.882591i) q^{65} +(-4.02837 + 4.72142i) q^{66} +(-1.78857 + 3.09789i) q^{67} +(3.01532 + 5.22269i) q^{68} +(0.673406 - 3.64359i) q^{69} +(-0.911077 + 8.14224i) q^{70} +(-7.11641 - 1.62427i) q^{71} +(1.47790 - 2.61071i) q^{72} +(13.1730 - 5.17004i) q^{73} +(4.20492 - 1.65031i) q^{74} +(0.856504 - 7.90288i) q^{75} +(5.65941 + 1.29172i) q^{76} +(5.03774 - 8.03121i) q^{77} +(-6.49583 - 1.20056i) q^{78} +(-0.673577 - 1.16667i) q^{79} +(-1.54834 + 2.68181i) q^{80} +(-3.14543 + 8.43245i) q^{81} +(-1.91522 + 0.143526i) q^{82} +(3.57337 - 4.48086i) q^{83} +(-1.65281 + 4.27413i) q^{84} +(11.6437 + 14.6007i) q^{85} +(3.75208 + 4.04378i) q^{86} +(-8.75953 - 2.30733i) q^{87} +(2.96064 - 2.01853i) q^{88} +(-0.738382 - 0.111293i) q^{89} +(3.32054 - 8.67635i) q^{90} +(10.0838 + 0.369554i) q^{91} +(-0.928187 + 1.92740i) q^{92} +(-7.49209 - 11.8121i) q^{93} +(3.50348 - 3.77585i) q^{94} +(17.9258 + 1.34336i) q^{95} +(-1.21954 + 1.22993i) q^{96} -15.4233i q^{97} +(1.54716 - 6.82688i) q^{98} +(-7.81786 + 7.37834i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36}+ \cdots + 224 q^{99}+O(q^{100}) $ 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/294\mathbb{Z}\right)^\times$.

$n$	$197$	$199$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$2$	−0.930874	−	0.365341i	−0.658227	−	0.258335i
$3$	−1.53475	−	0.802829i	−0.886090	−	0.463514i
$3$	−1.53475	−	0.802829i	−0.886090	−	0.463514i
$4$	0.733052	+	0.680173i	0.366526	+	0.340086i
$5$	2.55860	+	1.74442i	1.14424	+	0.780130i	0.978542	−	0.206046i	$-0.0660598\pi$
$5$	2.55860	+	1.74442i	1.14424	+	0.780130i	0.165698	+	0.986176i	$0.447012\pi$
$6$	1.13535	+	1.30804i	0.463506	+	0.534005i
$7$	−2.00673	−	1.72425i	−0.758472	−	0.651705i
$7$	−2.00673	−	1.72425i	−0.758472	−	0.651705i
$8$	−0.433884	−	0.900969i	−0.153401	−	0.318541i
$9$	1.71093	+	2.46429i	0.570310	+	0.821429i
$10$	−1.74442	−	2.55860i	−0.551635	−	0.809100i
$11$	0.534060	+	3.54325i	0.161025	+	1.06833i	0.912650	+	0.408741i	$0.134032\pi$
$11$	0.534060	+	3.54325i	0.161025	+	1.06833i	−0.751625	+	0.659590i	$0.770730\pi$
$12$	−0.578991	−	1.63241i	−0.167140	−	0.471237i
$13$	−2.98181	+	2.37792i	−0.827006	+	0.659516i	−0.942653	−	0.333775i	$-0.891677\pi$
$13$	−2.98181	+	2.37792i	−0.827006	+	0.659516i	0.115646	+	0.993290i	$0.463106\pi$
$14$	1.23807	+	2.33820i	0.330889	+	0.624910i
$15$	−2.52634	−	4.73138i	−0.652299	−	1.22164i
$16$	0.0747301	+	0.997204i	0.0186825	+	0.249301i
$17$	5.76272	+	1.77756i	1.39767	+	0.431123i	0.899865	−	0.436169i	$-0.143665\pi$
$17$	5.76272	+	1.77756i	1.39767	+	0.431123i	0.497800	+	0.867292i	$0.334141\pi$
$18$	−0.692355	−	2.91901i	−0.163190	−	0.688018i
$19$	5.02724	−	2.90248i	1.15333	−	0.665874i	0.203631	−	0.979048i	$-0.434726\pi$
$19$	5.02724	−	2.90248i	1.15333	−	0.665874i	0.949696	+	0.313174i	$0.101392\pi$
$20$	0.689077	+	3.01904i	0.154082	+	0.675079i
$21$	1.69556	+	4.25736i	0.370001	+	0.929032i
$22$	0.797354	−	3.49344i	0.169996	−	0.744803i
$23$	0.630556	+	2.04421i	0.131480	+	0.426248i	0.997243	−	0.0742067i	$-0.0236425\pi$
$23$	0.630556	+	2.04421i	0.131480	+	0.426248i	−0.865763	+	0.500454i	$0.833166\pi$
$24$	−0.0574200	+	1.73110i	−0.0117208	+	0.353359i
$25$	1.67671	+	4.27220i	0.335343	+	0.854439i
$26$	3.64444	−	1.12416i	0.714734	−	0.220466i
$27$	−0.647452	−	5.15566i	−0.124602	−	0.992207i
$28$	−0.298249	−	2.62889i	−0.0563638	−	0.496813i
$29$	5.09870	−	1.16375i	0.946805	−	0.216102i	0.278876	−	0.960327i	$-0.410038\pi$
$29$	5.09870	−	1.16375i	0.946805	−	0.216102i	0.667929	+	0.744225i	$0.267181\pi$
$30$	0.623140	+	5.32729i	0.113769	+	0.972626i
$31$	6.99386	+	4.03790i	1.25613	+	0.725229i	0.972321	−	0.233651i	$-0.0750672\pi$
$31$	6.99386	+	4.03790i	1.25613	+	0.725229i	0.283813	+	0.958880i	$0.408401\pi$
$32$	0.294755	−	0.955573i	0.0521058	−	0.168923i
$33$	2.02498	−	5.86678i	0.352504	−	1.02127i
$34$	−4.71495	−	3.76005i	−0.808607	−	0.644843i
$35$	−2.12660	−	7.91225i	−0.359460	−	1.33741i
$36$	−0.421941	+	2.97018i	−0.0703235	+	0.495030i
$37$	−3.31133	+	3.07246i	−0.544379	+	0.505110i	−0.903736	−	0.428091i	$-0.859186\pi$
$37$	−3.31133	+	3.07246i	−0.544379	+	0.505110i	0.359357	+	0.933200i	$0.382996\pi$
$38$	−5.74011	+	0.865183i	−0.931170	+	0.140351i
$39$	6.48541	−	1.25563i	1.03850	−	0.201061i
$40$	0.461537	−	3.06210i	0.0729754	−	0.484160i
$41$	1.73040	−	0.833315i	0.270242	−	0.130142i	−0.293855	−	0.955850i	$-0.594938\pi$
$41$	1.73040	−	0.833315i	0.270242	−	0.130142i	0.564098	+	0.825708i	$0.309224\pi$
$42$	−0.0229606	−	4.58252i	−0.00354290	−	0.707098i
$43$	−4.97007	−	2.39346i	−0.757928	−	0.364999i	0.0146714	−	0.999892i	$-0.495330\pi$
$43$	−4.97007	−	2.39346i	−0.757928	−	0.364999i	−0.772600	+	0.634893i	$0.781044\pi$
$44$	−2.01853	+	2.96064i	−0.304305	+	0.446334i
$45$	0.0788229	+	9.28972i	0.0117502	+	1.38483i
$46$	0.159867	−	2.13327i	0.0235710	−	0.314534i
$47$	−1.88182	+	4.79480i	−0.274492	+	0.699394i	0.725446	+	0.688279i	$0.241633\pi$
$47$	−1.88182	+	4.79480i	−0.274492	+	0.699394i	−0.999938	+	0.0111152i	$0.996462\pi$
$48$	0.685892	−	1.59046i	0.0990000	−	0.229563i
$49$	1.05393	+	6.92020i	0.150561	+	0.988601i
$50$		−	4.58945i		−	0.649046i
$51$	−7.41727	−	7.35460i	−1.03863	−	1.02985i
$52$	−3.80322	−	0.285012i	−0.527412	−	0.0395240i
$53$	−2.48418	+	2.67731i	−0.341228	+	0.367757i	−0.880229	−	0.474548i	$-0.842611\pi$
$53$	−2.48418	+	2.67731i	−0.341228	+	0.367757i	0.539001	+	0.842305i	$0.318802\pi$
$54$	−1.28088	+	5.03581i	−0.174305	+	0.685287i
$55$	−4.81449	+	9.99740i	−0.649186	+	1.34805i
$56$	−0.682808	+	2.55612i	−0.0912440	+	0.341577i
$57$	−10.0458	+	0.418570i	−1.33059	+	0.0554410i
$58$	−5.17141	−	0.779465i	−0.679040	−	0.102349i
$59$	−3.09328	+	2.10896i	−0.402711	+	0.274563i	−0.747691	−	0.664046i	$-0.768838\pi$
$59$	−3.09328	+	2.10896i	−0.402711	+	0.274563i	0.344981	+	0.938610i	$0.387885\pi$
$60$	1.36621	−	5.18669i	0.176377	−	0.669599i
$61$	−7.51218	−	8.09620i	−0.961836	−	1.03661i	−0.999304	−	0.0373146i	$-0.988120\pi$
$61$	−7.51218	−	8.09620i	−0.961836	−	1.03661i	0.0374678	−	0.999298i	$-0.488071\pi$
$62$	−5.03518	−	6.31392i	−0.639469	−	0.801869i
$63$	0.815673	−	7.89523i	0.102765	−	0.994706i
$64$	−0.623490	+	0.781831i	−0.0779362	+	0.0977289i
$65$	−11.7774	+	0.882591i	−1.46080	+	0.109472i
$66$	−4.02837	+	4.72142i	−0.495859	+	0.581167i
$67$	−1.78857	+	3.09789i	−0.218508	+	0.378468i	−0.954352	−	0.298684i	$-0.903452\pi$
$67$	−1.78857	+	3.09789i	−0.218508	+	0.378468i	0.735844	+	0.677151i	$0.236786\pi$
$68$	3.01532	+	5.22269i	0.365662	+	0.633345i
$69$	0.673406	−	3.64359i	0.0810686	−	0.438637i
$70$	−0.911077	+	8.14224i	−0.108895	+	0.973184i
$71$	−7.11641	−	1.62427i	−0.844562	−	0.192766i	−0.221717	−	0.975111i	$-0.571166\pi$
$71$	−7.11641	−	1.62427i	−0.844562	−	0.192766i	−0.622845	+	0.782345i	$0.714023\pi$
$72$	1.47790	−	2.61071i	0.174172	−	0.307675i
$73$	13.1730	−	5.17004i	1.54179	−	0.605107i	0.566112	−	0.824328i	$-0.308447\pi$
$73$	13.1730	−	5.17004i	1.54179	−	0.605107i	0.975675	+	0.219221i	$0.0703516\pi$
$74$	4.20492	−	1.65031i	0.488812	−	0.191845i
$75$	0.856504	−	7.90288i	0.0989005	−	0.912546i
$76$	5.65941	+	1.29172i	0.649179	+	0.148171i
$77$	5.03774	−	8.03121i	0.574104	−	0.915241i
$78$	−6.49583	−	1.20056i	−0.735508	−	0.135936i
$79$	−0.673577	−	1.16667i	−0.0757834	−	0.131261i	0.825643	−	0.564192i	$-0.190812\pi$
$79$	−0.673577	−	1.16667i	−0.0757834	−	0.131261i	−0.901427	+	0.432932i	$0.857479\pi$
$80$	−1.54834	+	2.68181i	−0.173110	+	0.299835i
$81$	−3.14543	+	8.43245i	−0.349493	+	0.936939i
$82$	−1.91522	+	0.143526i	−0.211501	+	0.0158498i
$83$	3.57337	−	4.48086i	0.392228	−	0.491838i	−0.546035	−	0.837763i	$-0.683863\pi$
$83$	3.57337	−	4.48086i	0.392228	−	0.491838i	0.938262	+	0.345925i	$0.112435\pi$
$84$	−1.65281	+	4.27413i	−0.180336	+	0.466346i
$85$	11.6437	+	14.6007i	1.26293	+	1.58367i
$86$	3.75208	+	4.04378i	0.404597	+	0.436052i
$87$	−8.75953	−	2.30733i	−0.939121	−	0.247371i
$88$	2.96064	−	2.01853i	0.315606	−	0.215176i
$89$	−0.738382	−	0.111293i	−0.0782684	−	0.0117971i	0.109791	−	0.993955i	$-0.464982\pi$
$89$	−0.738382	−	0.111293i	−0.0782684	−	0.0117971i	−0.188060	+	0.982158i	$0.560220\pi$
$90$	3.32054	−	8.67635i	0.350016	−	0.914568i
$91$	10.0838	+	0.369554i	1.05707	+	0.0387398i
$92$	−0.928187	+	1.92740i	−0.0967702	+	0.200945i
$93$	−7.49209	−	11.8121i	−0.776893	−	1.22485i
$94$	3.50348	−	3.77585i	0.361356	−	0.389449i
$95$	17.9258	+	1.34336i	1.83915	+	0.137825i
$96$	−1.21954	+	1.22993i	−0.124469	+	0.125529i
$97$		−	15.4233i		−	1.56600i	−0.622021	−	0.783000i	$-0.713688\pi$
$97$		−	15.4233i		−	1.56600i	0.622021	−	0.783000i	$-0.286312\pi$
$98$	1.54716	−	6.82688i	0.156287	−	0.689619i
$99$	−7.81786	+	7.37834i	−0.785725	+	0.741551i
$100$	−1.67671	+	4.27220i	−0.167671	+	0.427220i
$101$	−0.00548088	+	0.0731373i	−0.000545368	+	0.00727743i	−0.997470	−	0.0710909i	$-0.977352\pi$
$101$	−0.00548088	+	0.0731373i	−0.000545368	+	0.00727743i	0.996924	+	0.0783683i	$0.0249710\pi$
$102$	4.21760	+	9.55604i	0.417605	+	0.946189i
$103$	6.97102	−	10.2246i	0.686875	−	1.00746i	−0.311487	−	0.950250i	$-0.600827\pi$
$103$	6.97102	−	10.2246i	0.686875	−	1.00746i	0.998362	−	0.0572105i	$-0.0182206\pi$
$104$	3.43619	+	1.65478i	0.336946	+	0.162265i
$105$	−3.08839	+	13.8506i	−0.301396	+	1.35168i
$106$	3.29059	−	1.58466i	0.319610	−	0.153916i
$107$	−2.51010	+	16.6534i	−0.242661	+	1.60995i	0.452955	+	0.891533i	$0.350370\pi$
$107$	−2.51010	+	16.6534i	−0.242661	+	1.60995i	−0.695615	+	0.718414i	$0.744868\pi$
$108$	3.03212	−	4.21974i	0.291766	−	0.406045i
$109$	−15.6495	+	2.35878i	−1.49895	+	0.225930i	−0.846698	−	0.532074i	$-0.821413\pi$
$109$	−15.6495	+	2.35878i	−1.49895	+	0.225930i	−0.652250	+	0.758004i	$0.726175\pi$
$110$	8.13414	−	7.54738i	0.775560	−	0.719615i
$111$	7.54873	−	2.05704i	0.716494	−	0.195245i
$112$	1.56947	−	2.12997i	0.148301	−	0.201263i
$113$	−13.3046	−	10.6101i	−1.25159	−	0.998113i	−0.999538	−	0.0304004i	$-0.990322\pi$
$113$	−13.3046	−	10.6101i	−1.25159	−	0.998113i	−0.252056	−	0.967713i	$-0.581107\pi$
$114$	9.50425	+	3.28049i	0.890155	+	0.307246i
$115$	−1.95263	+	6.33028i	−0.182084	+	0.590301i
$116$	4.52916	+	2.61491i	0.420522	+	0.242789i
$117$	−10.9615	−	3.27960i	−1.01340	−	0.303199i
$118$	3.64994	−	0.833076i	0.336004	−	0.0766908i
$119$	−8.49926	−	13.5035i	−0.779126	−	1.23786i
$120$	−3.16668	+	4.32902i	−0.289077	+	0.395184i
$121$	−1.75813	+	0.542312i	−0.159830	+	0.0493011i
$122$	4.03501	+	10.2810i	0.365313	+	0.930802i
$123$	−3.32474	−	0.110281i	−0.299782	−	0.00994366i
$124$	2.38039	+	7.71702i	0.213765	+	0.693009i
$125$	0.282903	−	1.23948i	0.0253036	−	0.110862i
$126$	−3.64374	+	7.05146i	−0.324610	+	0.628194i
$127$	0.0140011	+	0.0613427i	0.00124239	+	0.00544328i	0.975545	−	0.219798i	$-0.0705400\pi$
$127$	0.0140011	+	0.0613427i	0.00124239	+	0.00544328i	−0.974303	+	0.225242i	$0.927683\pi$
$128$	0.866025	−	0.500000i	0.0765466	−	0.0441942i
$129$	5.70629	+	7.66348i	0.502411	+	0.674732i
$130$	11.2857	+	3.48117i	0.989820	+	0.305319i
$131$	1.58354	+	21.1309i	0.138354	+	1.84621i	0.446391	+	0.894838i	$0.352709\pi$
$131$	1.58354	+	21.1309i	0.138354	+	1.84621i	−0.308037	+	0.951374i	$0.599672\pi$
$132$	5.47484	−	2.92332i	0.476523	−	0.254442i
$133$	−15.0929	−	2.84372i	−1.30872	−	0.246582i
$134$	2.79672	−	2.23031i	0.241600	−	0.192669i
$135$	7.33708	−	14.3207i	0.631475	−	1.23253i
$136$	−0.898821	−	5.96329i	−0.0770733	−	0.511348i
$137$	2.94311	+	4.31676i	0.251447	+	0.368805i	0.931122	−	0.364709i	$-0.118831\pi$
$137$	2.94311	+	4.31676i	0.251447	+	0.368805i	−0.679675	+	0.733514i	$0.737879\pi$
$138$	−1.95801	+	3.14570i	−0.166677	+	0.267780i
$139$	−2.53040	−	5.25443i	−0.214626	−	0.445675i	0.765664	−	0.643241i	$-0.222411\pi$
$139$	−2.53040	−	5.25443i	−0.214626	−	0.445675i	−0.980290	+	0.197566i	$0.936696\pi$
$140$	3.82279	−	7.24654i	0.323085	−	0.612445i
$141$	6.73754	−	5.84806i	0.567403	−	0.492495i
$142$	6.03106	+	4.11191i	0.506115	+	0.345064i
$143$	−10.0180	−	9.29538i	−0.837750	−	0.777318i
$144$	−2.32954	+	1.89030i	−0.194128	+	0.157525i
$145$	15.0756	+	5.91674i	1.25196	+	0.491358i
$146$	−14.1513			−1.17117
$147$	3.93823	−	11.4669i	0.324819	−	0.945776i
$148$	−4.51718			−0.371310
$149$	0.129225	+	0.0507170i	0.0105865	+	0.00415490i	0.370628	−	0.928781i	$-0.379142\pi$
$149$	0.129225	+	0.0507170i	0.0105865	+	0.00415490i	−0.360042	+	0.932936i	$0.617238\pi$
$150$	−3.68454	+	7.04366i	−0.300842	+	0.575113i
$151$	−8.66422	−	8.03923i	−0.705085	−	0.654223i	0.243808	−	0.969824i	$-0.421603\pi$
$151$	−8.66422	−	8.03923i	−0.705085	−	0.654223i	−0.948892	+	0.315601i	$0.897794\pi$
$152$	−4.79628	−	3.27005i	−0.389029	−	0.265236i
$153$	5.47918	+	17.2423i	0.442966	+	1.39396i
$154$	−7.62363	+	5.63555i	−0.614330	+	0.454125i
$155$	10.8507	+	22.5316i	0.871546	+	1.80978i
$156$	5.60818	+	3.49076i	0.449014	+	0.279484i
$157$	10.9454	+	16.0539i	0.873538	+	1.28124i	0.958567	+	0.284866i	$0.0919491\pi$
$157$	10.9454	+	16.0539i	0.873538	+	1.28124i	−0.0850297	+	0.996378i	$0.527099\pi$
$158$	0.200783	+	1.33211i	0.0159734	+	0.105977i
$159$	5.96203	−	2.11464i	0.472819	−	0.167702i
$160$	2.42108	−	1.93075i	0.191404	−	0.152639i
$161$	2.25938	−	5.18942i	0.178064	−	0.408983i
$162$	6.00872	−	6.70039i	0.472090	−	0.526433i
$163$	−0.186489	−	2.48852i	−0.0146069	−	0.194916i	−0.999733	−	0.0230856i	$-0.992651\pi$
$163$	−0.186489	−	2.48852i	−0.0146069	−	0.194916i	0.985127	−	0.171830i	$-0.0549681\pi$
$164$	1.83527	+	0.566105i	0.143310	+	0.0442054i
$165$	15.4153	−	11.4783i	1.20008	−	0.893586i
$166$	−4.96339	+	2.86562i	−0.385234	+	0.222415i
$167$	−0.898510	−	3.93663i	−0.0695288	−	0.304626i	0.928192	−	0.372101i	$-0.121363\pi$
$167$	−0.898510	−	3.93663i	−0.0695288	−	0.304626i	−0.997721	+	0.0674758i	$0.978505\pi$
$168$	3.10007	−	3.37484i	0.239176	−	0.260375i
$169$	0.343951	−	1.50695i	0.0264578	−	0.115919i
$170$	−5.50455	−	17.8453i	−0.422180	−	1.36867i
$171$	15.7538	+	7.42262i	1.20472	+	0.567622i
$172$	−2.01535	−	5.13504i	−0.153669	−	0.391543i
$173$	22.6270	−	6.97949i	1.72030	−	0.530641i	0.731752	−	0.681571i	$-0.238703\pi$
$173$	22.6270	−	6.97949i	1.72030	−	0.530641i	0.988544	+	0.150930i	$0.0482269\pi$
$174$	7.31106	+	5.34805i	0.554250	+	0.405434i
$175$	4.00162	−	11.4642i	0.302494	−	0.866613i
$176$	−3.49344	+	0.797354i	−0.263328	+	0.0601028i
$177$	6.44055	−	0.753360i	0.484102	−	0.0566260i
$178$	0.646681	+	0.373361i	0.0484708	+	0.0279846i
$179$	5.88873	−	19.0908i	0.440145	−	1.42691i	−0.415615	−	0.909541i	$-0.636434\pi$
$179$	5.88873	−	19.0908i	0.440145	−	1.42691i	0.855760	−	0.517373i	$-0.173090\pi$
$180$	−6.26083	+	6.86346i	−0.466655	+	0.511572i
$181$	−6.09241	−	4.85854i	−0.452846	−	0.361132i	0.370348	−	0.928893i	$-0.379238\pi$
$181$	−6.09241	−	4.85854i	−0.452846	−	0.361132i	−0.823194	+	0.567761i	$0.807810\pi$
$182$	−9.25175	−	4.02804i	−0.685785	−	0.298578i
$183$	5.02947	+	18.4567i	0.371789	+	1.36436i
$184$	1.56818	−	1.45506i	0.115608	−	0.107269i
$185$	−13.8320	+	2.08484i	−1.01695	+	0.153281i
$186$	2.65876	+	13.7327i	0.194950	+	1.00693i
$187$	−3.22073	+	21.3681i	−0.235523	+	1.56259i
$188$	−4.64077	+	2.23488i	−0.338463	+	0.162995i
$189$	−7.59038	+	11.4624i	−0.552119	+	0.833765i
$190$	−16.1959	−	7.79954i	−1.17497	−	0.565838i
$191$	0.633195	−	0.928726i	0.0458164	−	0.0672003i	−0.802647	−	0.596454i	$-0.796576\pi$
$191$	0.633195	−	0.928726i	0.0458164	−	0.0672003i	0.848463	+	0.529254i	$0.177528\pi$
$192$	1.58458	−	0.699362i	0.114357	−	0.0504721i
$193$	0.956259	−	12.7604i	0.0688330	−	0.918513i	−0.850738	−	0.525590i	$-0.823845\pi$
$193$	0.956259	−	12.7604i	0.0688330	−	0.918513i	0.919571	−	0.392923i	$-0.128536\pi$
$194$	−5.63477	+	14.3572i	−0.404553	+	1.03078i
$195$	18.7839	+	8.10065i	1.34514	+	0.580100i
$196$	−3.93435	+	5.78972i	−0.281025	+	0.413552i
$197$			8.38396i			0.597332i	0.954358	+	0.298666i	$0.0965417\pi$
$197$			8.38396i			0.597332i	−0.954358	+	0.298666i	$0.903458\pi$
$198$	9.97305	−	4.01212i	0.708754	−	0.285129i
$199$	−22.5138	−	1.68718i	−1.59596	−	0.119601i	−0.753166	−	0.657831i	$-0.771474\pi$
$199$	−22.5138	−	1.68718i	−1.59596	−	0.119601i	−0.842798	+	0.538230i	$0.819093\pi$
$200$	3.12162	−	3.36430i	0.220732	−	0.237892i
$201$	5.23209	−	3.31858i	0.369043	−	0.234075i
$202$	0.0318221	−	0.0660792i	0.00223899	−	0.00464932i
$203$	−12.2383	−	6.45611i	−0.858961	−	0.453130i
$204$	−0.434844	−	10.4363i	−0.0304452	−	0.730689i
$205$	5.88105	+	0.886425i	0.410750	+	0.0619106i
$206$	−10.2246	+	6.97102i	−0.712382	+	0.485694i
$207$	−3.95869	+	5.05138i	−0.275148	+	0.351095i
$208$	−2.59410	−	2.79577i	−0.179868	−	0.193852i
$209$	12.9691	+	16.2627i	0.897088	+	1.12491i
$210$	7.93511	−	11.7649i	0.547574	−	0.811854i
$211$	10.2037	−	12.7950i	0.702451	−	0.880845i	−0.294753	−	0.955573i	$-0.595237\pi$
$211$	10.2037	−	12.7950i	0.702451	−	0.880845i	0.997204	+	0.0747281i	$0.0238089\pi$
$212$	−3.64207	+	0.272935i	−0.250138	+	0.0187453i
$213$	9.61791	+	8.20612i	0.659008	+	0.562274i
$214$	8.42077	−	14.5852i	0.575632	−	0.997024i
$215$	−8.54121	−	14.7938i	−0.582506	−	1.00893i
$216$	−4.36417	+	2.82029i	−0.296944	+	0.191896i
$217$	−7.07242	−	20.1621i	−0.480107	−	1.36869i
$218$	15.4294	+	3.52167i	1.04501	+	0.238517i
$219$	−24.3680	−	2.64097i	−1.64664	−	0.178460i
$220$	−10.3292	+	4.05392i	−0.696396	+	0.273315i
$221$	−21.4103	+	8.40291i	−1.44021	+	0.565241i
$222$	−7.77843	−	0.843017i	−0.522054	−	0.0565796i
$223$	7.56356	+	1.72633i	0.506494	+	0.115604i	0.468129	−	0.883660i	$-0.344928\pi$
$223$	7.56356	+	1.72633i	0.506494	+	0.115604i	0.0383643	+	0.999264i	$0.487785\pi$
$224$	−2.23914	+	1.40934i	−0.149609	+	0.0941658i
$225$	−7.65918	+	11.4413i	−0.510612	+	0.762756i
$226$	8.50863	+	14.7374i	0.565986	+	0.980316i
$227$	2.14500	−	3.71525i	0.142369	−	0.246590i	−0.786020	−	0.618202i	$-0.787862\pi$
$227$	2.14500	−	3.71525i	0.142369	−	0.246590i	0.928388	+	0.371612i	$0.121195\pi$
$228$	−7.64876	−	6.52601i	−0.506551	−	0.432196i
$229$	0.662151	−	0.0496214i	0.0437562	−	0.00327907i	−0.0528340	−	0.998603i	$-0.516825\pi$
$229$	0.662151	−	0.0496214i	0.0437562	−	0.00327907i	0.0965902	+	0.995324i	$0.469206\pi$
$230$	4.13036	−	5.17931i	0.272348	−	0.341514i
$231$	−14.1794	+	8.28147i	−0.932934	+	0.544881i
$232$	−3.26074	−	4.08884i	−0.214078	−	0.268446i
$233$	−2.06935	−	2.23023i	−0.135568	−	0.146107i	0.661619	−	0.749840i	$-0.269870\pi$
$233$	−2.06935	−	2.23023i	−0.135568	−	0.146107i	−0.797186	+	0.603733i	$0.793679\pi$
$234$	9.00565	+	7.05760i	0.588718	+	0.461369i
$235$	−13.1790	+	8.98529i	−0.859703	+	0.586136i
$236$	−3.70199	−	0.557986i	−0.240979	−	0.0363218i
$237$	0.0971376	+	2.33132i	0.00630976	+	0.151435i
$238$	2.97837	+	15.6751i	0.193059	+	1.01607i
$239$	10.4547	−	21.7093i	0.676256	−	1.40426i	−0.226459	−	0.974021i	$-0.572715\pi$
$239$	10.4547	−	21.7093i	0.676256	−	1.40426i	0.902715	−	0.430239i	$-0.141571\pi$
$240$	4.52935	−	2.87286i	0.292369	−	0.185442i
$241$	11.5433	−	12.4407i	0.743568	−	0.801376i	−0.242068	−	0.970259i	$-0.577826\pi$
$241$	11.5433	−	12.4407i	0.743568	−	0.801376i	0.985636	+	0.168883i	$0.0540161\pi$
$242$	1.83473	+	0.137494i	0.117941	+	0.00883844i
$243$	11.5973	−	10.4165i	0.743966	−	0.668217i
$244$		−	11.0445i		−	0.707053i
$245$	−9.37519	+	19.5445i	−0.598959	+	1.24865i
$246$	3.05462	+	1.31732i	0.194756	+	0.0839893i
$247$	−8.08843	+	20.6090i	−0.514655	+	1.31132i
$248$	0.603506	−	8.05323i	0.0383227	−	0.511380i
$249$	−9.08159	+	4.00821i	−0.575523	+	0.254010i
$250$	−0.716179	+	1.05044i	−0.0452951	+	0.0664357i
$251$	−13.8968	−	6.69235i	−0.877159	−	0.422417i	−0.0595728	−	0.998224i	$-0.518974\pi$
$251$	−13.8968	−	6.69235i	−0.877159	−	0.422417i	−0.817586	+	0.575807i	$0.804688\pi$
$252$	5.96805	−	5.23282i	0.375952	−	0.329636i
$253$	−6.90641	+	3.32595i	−0.434202	+	0.209101i
$254$	0.00937778	−	0.0622175i	0.000588414	−	0.00390387i
$255$	−6.14828	−	31.7563i	−0.385020	−	1.98866i
$256$	−0.988831	+	0.149042i	−0.0618019	+	0.00931514i
$257$	15.0953	−	14.0064i	0.941617	−	0.873693i	−0.0505360	−	0.998722i	$-0.516093\pi$
$257$	15.0953	−	14.0064i	0.941617	−	0.873693i	0.992153	+	0.125029i	$0.0399025\pi$
$258$	−2.51205	−	9.21848i	−0.156393	−	0.573917i
$259$	11.9426	−	0.456047i	0.742079	−	0.0283374i
$260$	−9.23373	−	7.36366i	−0.572652	−	0.456675i
$261$	11.5913	+	10.5736i	0.717485	+	0.654488i
$262$	6.24590	−	20.2487i	0.385873	−	1.25097i
$263$	7.94498	+	4.58704i	0.489909	+	0.282849i	0.724537	−	0.689236i	$-0.242054\pi$
$263$	7.94498	+	4.58704i	0.489909	+	0.282849i	−0.234628	+	0.972085i	$0.575387\pi$
$264$	−6.16439	+	0.721056i	−0.379392	+	0.0443780i
$265$	−11.0264	+	2.51670i	−0.677346	+	0.154600i
$266$	13.0106	+	8.16120i	0.797734	+	0.500395i
$267$	1.04388	+	0.763603i	0.0638847	+	0.0467317i
$268$	−3.41821	+	1.05438i	−0.208801	+	0.0644065i
$269$	−8.79120	−	22.3996i	−0.536009	−	1.36573i	−0.900636	−	0.434574i	$-0.856899\pi$
$269$	−8.79120	−	22.3996i	−0.536009	−	1.36573i	0.364627	−	0.931154i	$-0.381196\pi$
$270$	−12.0618	+	10.6502i	−0.734060	+	0.648152i
$271$	2.59718	+	8.41985i	0.157767	+	0.511470i	0.999600	−	0.0282687i	$-0.00899940\pi$
$271$	2.59718	+	8.41985i	0.157767	+	0.511470i	−0.841833	+	0.539738i	$0.818523\pi$
$272$	−1.34195	+	5.87945i	−0.0813674	+	0.356494i
$273$	−15.1795	−	8.66276i	−0.918704	−	0.524294i
$274$	−1.16258	−	5.09359i	−0.0702340	−	0.307715i
$275$	−14.2420	+	8.22263i	−0.858826	+	0.495843i
$276$	2.97191	−	2.21291i	0.178888	−	0.133201i
$277$	9.35600	+	2.88594i	0.562147	+	0.173400i	0.562789	−	0.826600i	$-0.309728\pi$
$277$	9.35600	+	2.88594i	0.562147	+	0.173400i	−0.000642036		1.00000i	$0.500204\pi$
$278$	0.435824	+	5.81567i	0.0261390	+	0.348801i
$279$	2.01544	+	24.1434i	0.120661	+	1.44543i
$280$	−6.20600	+	5.34899i	−0.370879	+	0.319664i
$281$	−2.02927	+	1.61829i	−0.121056	+	0.0965391i	−0.682147	−	0.731215i	$-0.738953\pi$
$281$	−2.02927	+	1.61829i	−0.121056	+	0.0965391i	0.561090	+	0.827755i	$0.310382\pi$
$282$	−8.40833	+	2.98230i	−0.500709	+	0.177593i
$283$	1.00697	+	6.68081i	0.0598582	+	0.397133i	0.998618	+	0.0525603i	$0.0167382\pi$
$283$	1.00697	+	6.68081i	0.0598582	+	0.397133i	−0.938760	+	0.344573i	$0.888024\pi$
$284$	−4.11191	−	6.03106i	−0.243997	−	0.357878i
$285$	−26.4332	−	16.4531i	−1.56577	−	0.974597i
$286$	5.92954	+	12.3128i	0.350621	+	0.728072i
$287$	−4.90928	−	1.31140i	−0.289786	−	0.0774093i
$288$	2.85911	−	0.908557i	0.168475	−	0.0535372i
$289$	16.0032	+	10.9108i	0.941363	+	0.641810i
$290$	−11.8719	−	11.0155i	−0.697139	−	0.646851i
$291$	−12.3823	+	23.6710i	−0.725863	+	1.38762i
$292$	13.1730	+	5.17004i	0.770894	+	0.302554i
$293$	−22.6714			−1.32448			−0.662238	−	0.749294i	$-0.730393\pi$
$293$	−22.6714			−1.32448			−0.662238	+	0.749294i	$0.730393\pi$
$294$	−7.85533	+	9.23546i	−0.458132	+	0.538623i
$295$	−11.5934			−0.674993
$296$	4.20492	+	1.65031i	0.244406	+	0.0959224i
$297$	17.9220	−	5.04752i	1.03994	−	0.292887i
$298$	−0.101763	−	0.0944222i	−0.00589497	−	0.00546973i
$299$	−6.74117	−	4.59605i	−0.389852	−	0.265796i
$300$	6.00318	−	5.21065i	0.346594	−	0.300837i
$301$	5.84666	+	13.3727i	0.336996	+	0.770788i
$302$	5.12824	+	10.6489i	0.295097	+	0.612775i
$303$	0.0671285	−	0.107847i	0.00385643	−	0.00619567i
$304$	3.27005	+	4.79628i	0.187550	+	0.275085i
$305$	−5.09745	−	33.8194i	−0.291879	−	1.93649i
$306$	1.19889	−	18.0522i	0.0685359	−	1.03197i
$307$	−12.8880	+	10.2778i	−0.735555	+	0.586585i	−0.917976	−	0.396635i	$-0.870178\pi$
$307$	−12.8880	+	10.2778i	−0.735555	+	0.586585i	0.182421	+	0.983220i	$0.441606\pi$
$308$	9.15553	−	2.46076i	0.521685	−	0.140215i
$309$	−18.9074	+	10.0957i	−1.07561	+	0.574325i
$310$	−1.86887	−	24.9383i	−0.106144	−	1.41640i
$311$	−11.8891	−	3.66730i	−0.674168	−	0.207953i	−0.0612773	−	0.998121i	$-0.519517\pi$
$311$	−11.8891	−	3.66730i	−0.674168	−	0.207953i	−0.612891	+	0.790167i	$0.709994\pi$
$312$	−3.94519	−	5.29835i	−0.223353	−	0.299960i
$313$	−8.52200	+	4.92018i	−0.481692	+	0.278105i	−0.721121	−	0.692809i	$-0.756373\pi$
$313$	−8.52200	+	4.92018i	−0.481692	+	0.278105i	0.239429	+	0.970914i	$0.423040\pi$
$314$	−4.32362	−	18.9430i	−0.243996	−	1.06902i
$315$	15.8596	−	18.7779i	0.893588	−	1.05801i
$316$	0.299770	−	1.31338i	0.0168634	−	0.0738833i
$317$	7.53465	+	24.4267i	0.423188	+	1.37194i	0.876848	+	0.480767i	$0.159642\pi$
$317$	7.53465	+	24.4267i	0.423188	+	1.37194i	−0.453660	+	0.891175i	$0.649882\pi$
$318$	−6.32246	−	0.209714i	−0.354546	−	0.0117602i
$319$	6.84646	+	17.4445i	0.383328	+	0.976704i
$320$	−2.95911	+	0.912763i	−0.165419	+	0.0510250i
$321$	17.2222	−	23.5437i	0.961252	−	1.31408i
$322$	−3.99910	+	4.00525i	−0.222861	+	0.223204i
$323$	34.1299	−	7.78993i	1.89904	−	0.433443i
$324$	−8.04129	+	4.04199i	−0.446738	+	0.224555i
$325$	−15.1586	−	8.75181i	−0.840846	−	0.485463i
$326$	−0.735561	+	2.38463i	−0.0407390	+	0.132072i
$327$	25.9118	+	8.94371i	1.43292	+	0.494588i
$328$	−1.50158	−	1.19747i	−0.0829110	−	0.0661193i
$329$	12.0437	−	6.37714i	0.663993	−	0.351583i
$330$	−18.5432	+	5.05304i	−1.02077	+	0.278160i
$331$	16.1725	−	15.0059i	0.888922	−	0.824799i	−0.0964283	−	0.995340i	$-0.530742\pi$
$331$	16.1725	−	15.0059i	0.888922	−	0.824799i	0.985351	+	0.170541i	$0.0545514\pi$
$332$	5.66722	−	0.854196i	0.311029	−	0.0468801i
$333$	−13.2369	−	2.90329i	−0.725377	−	0.159100i
$334$	−0.601813	+	3.99277i	−0.0329297	+	0.218475i
$335$	−9.98027	+	4.80624i	−0.545280	+	0.262593i
$336$	−4.11874	+	2.00897i	−0.224696	+	0.109598i
$337$	1.24018	+	0.597241i	0.0675571	+	0.0325338i	0.467357	−	0.884069i	$-0.345206\pi$
$337$	1.24018	+	0.597241i	0.0675571	+	0.0325338i	−0.399800	+	0.916602i	$0.630920\pi$
$338$	−0.870726	+	1.27712i	−0.0473612	+	0.0694662i
$339$	11.9012	+	26.9652i	0.646386	+	1.46455i
$340$	−1.39558	+	18.6228i	−0.0756862	+	1.00996i
$341$	−10.5722	+	26.9375i	−0.572516	+	1.45875i
$342$	−11.9530	−	12.6650i	−0.646344	−	0.684846i
$343$	9.81721	−	15.7042i	0.530080	−	0.847948i
$344$			5.51636i			0.297422i
$345$	8.07894	−	8.14778i	0.434955	−	0.438662i
$346$	−23.6127	−	1.76953i	−1.26943	−	0.0951305i
$347$	−5.94566	+	6.40790i	−0.319180	+	0.343994i	−0.872178	−	0.489188i	$-0.837293\pi$
$347$	−5.94566	+	6.40790i	−0.319180	+	0.343994i	0.552998	+	0.833182i	$0.313484\pi$
$348$	−4.85181	−	7.64939i	−0.260084	−	0.410050i
$349$	5.88962	−	12.2299i	0.315264	−	0.654653i	−0.681774	−	0.731563i	$-0.738791\pi$
$349$	5.88962	−	12.2299i	0.315264	−	0.654653i	0.997038	+	0.0769102i	$0.0245055\pi$
$350$	−7.91335	+	9.20978i	−0.422986	+	0.492283i
$351$	14.1903	+	13.8336i	0.757423	+	0.738384i
$352$	3.54325	+	0.534060i	0.188856	+	0.0284655i
$353$	15.3835	−	10.4883i	0.818783	−	0.558237i	−0.0799167	−	0.996802i	$-0.525465\pi$
$353$	15.3835	−	10.4883i	0.818783	−	0.558237i	0.898700	+	0.438565i	$0.144513\pi$
$354$	−6.27058	−	1.65172i	−0.333277	−	0.0877877i
$355$	−15.3746	−	16.5699i	−0.816000	−	0.879439i
$356$	−0.465574	−	0.583811i	−0.0246754	−	0.0309419i
$357$	2.20329	+	27.5479i	0.116610	+	1.45799i
$358$	−12.4563	+	15.6197i	−0.658337	+	0.825529i
$359$	24.3594	−	1.82548i	1.28564	−	0.0963452i	0.585688	−	0.810537i	$-0.300825\pi$
$359$	24.3594	−	1.82548i	1.28564	−	0.0963452i	0.699950	+	0.714192i	$0.253205\pi$
$360$	8.33554	−	4.10167i	0.439322	−	0.216177i
$361$	7.34873	−	12.7284i	0.386775	−	0.669914i
$362$	3.89624	+	6.74849i	0.204782	+	0.354693i
$363$	3.13368	+	0.579165i	0.164476	+	0.0303983i
$364$	7.14060	+	7.12964i	0.374269	+	0.373695i
$365$	42.7233	+	9.75131i	2.23624	+	0.510407i
$366$	2.06118	−	19.0183i	0.107740	−	0.994102i
$367$	1.26835	−	0.497792i	0.0662075	−	0.0259845i	−0.332006	−	0.943277i	$-0.607725\pi$
$367$	1.26835	−	0.497792i	0.0662075	−	0.0259845i	0.398214	+	0.917293i	$0.369630\pi$
$368$	−1.99137	+	0.781557i	−0.103808	+	0.0407415i
$369$	5.01412	+	2.83845i	0.261024	+	0.147764i
$370$	13.6376	+	3.11268i	0.708983	+	0.161821i
$371$	9.60143	−	1.08929i	0.498481	−	0.0565531i
$372$	2.54215	−	13.7548i	0.131804	−	0.713151i
$373$	−14.5348	−	25.1750i	−0.752584	−	1.30351i	−0.946566	−	0.322509i	$-0.895474\pi$
$373$	−14.5348	−	25.1750i	−0.752584	−	1.30351i	0.193982	−	0.981005i	$-0.437860\pi$
$374$	10.8047	−	18.7144i	0.558700	−	0.967696i
$375$	−1.42927	+	1.67517i	−0.0738074	+	0.0865054i
$376$	5.13646	−	0.384924i	0.264893	−	0.0198510i
$377$	−12.4361	+	15.5944i	−0.640491	+	0.803151i
$378$	11.2534	−	7.89695i	0.578810	−	0.406175i
$379$	2.89555	+	3.63091i	0.148735	+	0.186507i	0.850617	−	0.525785i	$-0.176228\pi$
$379$	2.89555	+	3.63091i	0.148735	+	0.186507i	−0.701883	+	0.712292i	$0.747657\pi$
$380$	12.2268	+	13.1774i	0.627224	+	0.675987i
$381$	0.0277595	−	0.105386i	0.00142216	−	0.00539911i
$382$	−0.928726	+	0.633195i	−0.0475178	+	0.0323971i
$383$	2.16114	+	0.325739i	0.110429	+	0.0166445i	0.204024	−	0.978966i	$-0.434598\pi$
$383$	2.16114	+	0.325739i	0.110429	+	0.0166445i	−0.0935953	+	0.995610i	$0.529836\pi$
$384$	−1.73055	+	0.0721057i	−0.0883117	+	0.00367963i
$385$	26.8994	−	11.7607i	1.37092	−	0.599380i
$386$	−5.55205	+	11.5290i	−0.282592	+	0.586808i
$387$	−2.60527	−	16.3427i	−0.132433	−	0.830747i
$388$	10.4905	−	11.3061i	0.532576	−	0.573980i
$389$	−3.20923	−	0.240499i	−0.162715	−	0.0121938i	−0.00687635	−	0.999976i	$-0.502189\pi$
$389$	−3.20923	−	0.240499i	−0.162715	−	0.0121938i	−0.155838	+	0.987783i	$0.549808\pi$
$390$	−14.5259	−	14.4032i	−0.735550	−	0.729335i
$391$			12.9011i			0.652436i
$392$	5.77761	−	3.95212i	0.291813	−	0.199612i
$393$	14.5341	−	33.7020i	0.733150	−	1.70004i
$394$	3.06300	−	7.80441i	0.154312	−	0.393180i
$395$	0.311752	−	4.16005i	0.0156860	−	0.209315i
$396$	−10.7494	+	0.0912087i	−0.540180	+	0.00458341i
$397$	−11.9604	+	17.5427i	−0.600274	+	0.880441i	−0.999334	−	0.0364840i	$-0.988384\pi$
$397$	−11.9604	+	17.5427i	−0.600274	+	0.880441i	0.399060	+	0.916925i	$0.369337\pi$
$398$	20.3411	+	9.79578i	1.01961	+	0.491018i
$399$	20.8808	+	16.4814i	1.04535	+	0.825103i
$400$	−4.13495	+	1.99129i	−0.206747	+	0.0995643i
$401$	−0.419249	+	2.78153i	−0.0209363	+	0.138903i	−0.996857	−	0.0792226i	$-0.974756\pi$
$401$	−0.419249	+	2.78153i	−0.0209363	+	0.138903i	0.975921	+	0.218126i	$0.0699943\pi$
$402$	−6.08283	+	1.17768i	−0.303384	+	0.0587375i
$403$	−30.4562	+	4.59053i	−1.51713	+	0.228671i
$404$	−0.0537638	+	0.0498855i	−0.00267485	+	0.00248190i
$405$	−22.7577	+	16.0883i	−1.13084	+	0.799434i
$406$	9.03363	+	10.4810i	0.448332	+	0.520162i
$407$	−12.6550	−	10.0920i	−0.627283	−	0.500242i
$408$	−3.40803	+	9.87377i	−0.168723	+	0.488825i
$409$	2.07903	−	6.74005i	0.102801	−	0.333274i	−0.889530	−	0.456876i	$-0.848968\pi$
$409$	2.07903	−	6.74005i	0.102801	−	0.333274i	0.992332	+	0.123602i	$0.0394445\pi$
$410$	−5.15066	−	2.97374i	−0.254373	−	0.146862i
$411$	−1.05133	−	8.98797i	−0.0518585	−	0.443344i
$412$	12.0646	−	2.75367i	0.594381	−	0.135664i
$413$	9.84375	+	1.10147i	0.484379	+	0.0541997i
$414$	5.53052	−	3.25592i	0.271810	−	0.160020i
$415$	16.9593	−	5.23126i	0.832501	−	0.256792i
$416$	1.39337	+	3.55024i	0.0683155	+	0.174065i
$417$	−0.334872	+	10.0957i	−0.0163988	+	0.494390i
$418$	−6.13113	−	19.8766i	−0.299883	−	0.972198i
$419$	−5.49983	+	24.0963i	−0.268684	+	1.17718i	0.642861	+	0.765983i	$0.277747\pi$
$419$	−5.49983	+	24.0963i	−0.268684	+	1.17718i	−0.911545	+	0.411200i	$0.865110\pi$
$420$	−11.6848	+	8.05260i	−0.570159	+	0.392927i
$421$	−1.41922	−	6.21799i	−0.0691684	−	0.303046i	0.928497	−	0.371340i	$-0.121102\pi$
$421$	−1.41922	−	6.21799i	−0.0691684	−	0.303046i	−0.997665	+	0.0682938i	$0.978244\pi$
$422$	−14.1729	+	8.18272i	−0.689925	+	0.398329i
$423$	−15.0354	+	3.56622i	−0.731048	+	0.173396i
$424$	3.49002	+	1.07653i	0.169490	+	0.0522808i
$425$	2.06833	+	27.5999i	0.100329	+	1.33879i
$426$	−5.95503	−	11.1527i	−0.288522	−	0.540349i
$427$	1.11504	+	29.1998i	0.0539604	+	1.41308i
$428$	−13.1672	+	10.5005i	−0.636463	+	0.507562i
$429$	7.91260	+	22.3089i	0.382024	+	1.07708i
$430$	2.54600	+	16.8916i	0.122779	+	0.814587i
$431$	2.40898	+	3.53333i	0.116037	+	0.170195i	0.879863	−	0.475227i	$-0.157634\pi$
$431$	2.40898	+	3.53333i	0.116037	+	0.170195i	−0.763827	+	0.645422i	$0.776682\pi$
$432$	5.09286	−	1.03092i	0.245030	−	0.0496004i
$433$	−13.3378	−	27.6962i	−0.640974	−	1.33100i	−0.927823	−	0.373020i	$-0.878322\pi$
$433$	−13.3378	−	27.6962i	−0.640974	−	1.33100i	0.286849	−	0.957976i	$-0.407392\pi$
$434$	−0.782522	+	21.3522i	−0.0375623	+	1.02494i
$435$	−18.3872	−	21.1839i	−0.881598	−	1.01569i
$436$	−13.0762	−	8.91523i	−0.626239	−	0.426962i
$437$	9.10323	+	8.44656i	0.435467	+	0.404054i
$438$	21.7187	+	11.3610i	1.03776	+	0.542852i
$439$	0.727613	+	0.285567i	0.0347271	+	0.0136294i	0.382641	−	0.923897i	$-0.375015\pi$
$439$	0.727613	+	0.285567i	0.0347271	+	0.0136294i	−0.347914	+	0.937526i	$0.613110\pi$
$440$	11.0963			0.528994
$441$	−15.2502	+	14.4372i	−0.726199	+	0.687484i
$442$	23.0002			1.09401
$443$	−32.2561	−	12.6596i	−1.53253	−	0.601475i	−0.558827	−	0.829284i	$-0.688749\pi$
$443$	−32.2561	−	12.6596i	−1.53253	−	0.601475i	−0.973706	+	0.227809i	$0.926844\pi$
$444$	6.93275	+	3.62652i	0.329014	+	0.172107i
$445$	−1.69508	−	1.57281i	−0.0803546	−	0.0745582i
$446$	−6.41002	−	4.37028i	−0.303523	−	0.206939i
$447$	−0.157611	−	0.181583i	−0.00745474	−	0.00858860i
$448$	2.59925	−	0.493872i	0.122803	−	0.0233333i
$449$	7.40823	+	15.3834i	0.349616	+	0.725985i	0.999418	−	0.0341184i	$-0.0108623\pi$
$449$	7.40823	+	15.3834i	0.349616	+	0.725985i	−0.649802	+	0.760104i	$0.725148\pi$
$450$	11.3097	−	7.85222i	0.533145	−	0.370157i
$451$	3.87678	+	5.68619i	0.182551	+	0.267752i
$452$	−2.53629	−	16.8272i	−0.119297	−	0.791484i
$453$	6.84331	+	19.2941i	0.321527	+	0.906517i
$454$	−3.35406	+	2.67477i	−0.157414	+	0.125533i
$455$	25.1558	+	18.5360i	1.17932	+	0.868981i
$456$	4.73581	+	8.86930i	0.221775	+	0.415343i
$457$	−1.03037	−	13.7493i	−0.0481985	−	0.643164i	−0.968027	−	0.250844i	$-0.919292\pi$
$457$	−1.03037	−	13.7493i	−0.0481985	−	0.643164i	0.919829	−	0.392319i	$-0.128327\pi$
$458$	−0.634508	−	0.195720i	−0.0296486	−	0.00914539i
$459$	5.43343	−	30.8615i	0.253611	−	1.44049i
$460$	−5.73706	+	3.31229i	−0.267492	+	0.154437i
$461$	2.20000	+	9.63883i	0.102464	+	0.448925i	0.999969	+	0.00791958i	$0.00252091\pi$
$461$	2.20000	+	9.63883i	0.102464	+	0.448925i	−0.897504	+	0.441005i	$0.854622\pi$
$462$	16.2248	−	2.52869i	0.754844	−	0.117645i
$463$	2.10758	−	9.23393i	0.0979478	−	0.429137i	−0.902049	−	0.431633i	$-0.857937\pi$
$463$	2.10758	−	9.23393i	0.0979478	−	0.429137i	0.999997	+	0.00249622i	$0.000794572\pi$
$464$	1.54152	+	4.99748i	0.0715632	+	0.232002i
$465$	1.43597	−	43.2917i	0.0665916	−	2.00760i
$466$	1.11151	+	2.83208i	0.0514897	+	0.131194i
$467$	−23.0159	+	7.09946i	−1.06505	+	0.328524i	−0.777266	−	0.629172i	$-0.783394\pi$
$467$	−23.0159	+	7.09946i	−1.06505	+	0.328524i	−0.287782	+	0.957696i	$0.592918\pi$
$468$	−5.80469	−	9.85986i	−0.268322	−	0.455772i
$469$	8.93071	−	3.13269i	0.412382	−	0.144654i
$470$	15.5507	−	3.54934i	0.717299	−	0.163719i
$471$	−3.90990	−	33.4261i	−0.180158	−	1.54019i
$472$	3.24223	+	1.87190i	0.149236	+	0.0861614i
$473$	5.82632	−	18.8885i	0.267895	−	0.868493i
$474$	0.761303	−	2.20565i	0.0349678	−	0.101309i
$475$	20.8292	+	16.6107i	0.955708	+	0.762152i
$476$	2.95429	−	15.6797i	0.135410	−	0.718678i
$477$	−10.8479	−	1.54105i	−0.496692	−	0.0705597i
$478$	−17.6633	+	16.3891i	−0.807899	+	0.749621i
$479$	7.97209	−	1.20160i	0.364254	−	0.0549024i	0.0356345	−	0.999365i	$-0.488655\pi$
$479$	7.97209	−	1.20160i	0.364254	−	0.0549024i	0.328619	+	0.944462i	$0.393417\pi$
$480$	−5.26583	+	1.01951i	−0.240351	+	0.0465339i
$481$	2.56770	−	17.0356i	0.117077	−	0.776755i
$482$	−15.2904	+	7.36349i	−0.696460	+	0.335398i
$483$	−7.63380	+	6.15058i	−0.347350	+	0.279861i
$484$	−1.65767	−	0.798291i	−0.0753485	−	0.0362859i
$485$	26.9048	−	39.4621i	1.22168	−	1.79188i
$486$	−14.6012	+	5.45946i	−0.662323	+	0.247646i
$487$	−1.34647	+	17.9674i	−0.0610143	+	0.814180i	0.879819	+	0.475309i	$0.157664\pi$
$487$	−1.34647	+	17.9674i	−0.0610143	+	0.814180i	−0.940833	+	0.338870i	$0.889955\pi$
$488$	−4.03501	+	10.2810i	−0.182657	+	0.465401i
$489$	−1.71164	+	3.96898i	−0.0774031	+	0.179484i
$490$	15.8675	−	14.7683i	0.716822	−	0.667166i
$491$			15.1144i			0.682103i	0.940045	+	0.341051i	$0.110783\pi$
$491$			15.1144i			0.682103i	−0.940045	+	0.341051i	$0.889217\pi$
$492$	−2.36220	−	2.34224i	−0.106496	−	0.105596i
$493$	31.4510	+	2.35693i	1.41648	+	0.106151i
$494$	15.0586	−	16.2293i	0.677519	−	0.730192i
$495$	−32.8737	+	5.24055i	−1.47756	+	0.235545i
$496$	−3.50396	+	7.27605i	−0.157333	+	0.326704i
$497$	11.4801	+	15.5299i	0.514951	+	0.696613i
$498$	9.91818	−	0.413255i	0.444444	−	0.0185184i
$499$	−18.2042	−	2.74384i	−0.814931	−	0.122831i	−0.271665	−	0.962392i	$-0.587574\pi$
$499$	−18.2042	−	2.74384i	−0.814931	−	0.122831i	−0.543266	+	0.839561i	$0.682812\pi$
$500$	1.05044	−	0.716179i	0.0469772	−	0.0320285i
$501$	−1.78145	+	6.76310i	−0.0795893	+	0.302153i
$502$	10.4912	+	11.3068i	0.468244	+	0.504647i
$503$	4.33375	+	5.43435i	0.193232	+	0.242306i	0.869004	−	0.494806i	$-0.164761\pi$
$503$	4.33375	+	5.43435i	0.193232	+	0.242306i	−0.675771	+	0.737111i	$0.736189\pi$
$504$	−7.46726	+	2.69072i	−0.332618	+	0.119854i
$505$	−0.141606	+	0.177568i	−0.00630138	+	0.00790167i
$506$	7.64410	−	0.572846i	0.339822	−	0.0254661i
$507$	−1.73770	+	2.03666i	−0.0771741	+	0.0904513i
$508$	−0.0314601	+	0.0544905i	−0.00139582	+	0.00241763i
$509$	1.31837	+	2.28348i	0.0584357	+	0.101214i	0.893763	−	0.448539i	$-0.148055\pi$
$509$	1.31837	+	2.28348i	0.0584357	+	0.101214i	−0.835328	+	0.549752i	$0.814722\pi$
$510$	−5.87862	+	31.8074i	−0.260310	+	1.40845i
$511$	−35.3492	−	12.3387i	−1.56375	−	0.545834i
$512$	0.974928	+	0.222521i	0.0430861	+	0.00983413i
$513$	−18.2191	−	24.0395i	−0.804391	−	1.06137i
$514$	−19.1689	+	7.52324i	−0.845504	+	0.331836i
$515$	35.6721	−	14.0003i	1.57190	−	0.616926i
$516$	−1.02949	+	9.49899i	−0.0453207	+	0.418170i
$517$	−17.9942	−	4.10706i	−0.791385	−	0.180628i
$518$	−11.2837	−	3.93861i	−0.495777	−	0.173053i
$519$	−40.3301	−	7.45379i	−1.77030	−	0.327185i
$520$	5.90519	+	10.2281i	0.258960	+	0.448532i
$521$	2.64698	−	4.58471i	0.115967	−	0.200860i	−0.802199	−	0.597057i	$-0.796337\pi$
$521$	2.64698	−	4.58471i	0.115967	−	0.200860i	0.918166	+	0.396197i	$0.129670\pi$
$522$	−6.92710	−	14.0775i	−0.303191	−	0.616154i
$523$	10.6578	−	0.798690i	0.466032	−	0.0349243i	0.160355	−	0.987059i	$-0.448736\pi$
$523$	10.6578	−	0.798690i	0.466032	−	0.0349243i	0.305677	+	0.952135i	$0.401117\pi$
$524$	−13.2118	+	16.5671i	−0.577161	+	0.723737i
$525$	−15.3453	+	14.3821i	−0.669724	+	0.627687i
$526$	−5.71994	−	7.17258i	−0.249401	−	0.312739i
$527$	33.1260	+	35.7013i	1.44299	+	1.55518i
$528$	6.00170	+	1.58089i	0.261190	+	0.0687995i
$529$	15.2223	−	10.3784i	0.661839	−	0.451234i
$530$	11.1836	+	1.68566i	0.485786	+	0.0732204i
$531$	−10.4895	−	4.01444i	−0.455204	−	0.174212i
$532$	−9.12965	−	12.3504i	−0.395821	−	0.535457i
$533$	−3.17817	+	6.59953i	−0.137662	+	0.285857i
$534$	−0.692750	−	1.09219i	−0.0299782	−	0.0472638i
$535$	−35.4730	+	38.2308i	−1.53363	+	1.65286i
$536$	3.56713	+	0.267320i	0.154077	+	0.0115465i
$537$	−24.3644	+	24.5720i	−1.05140	+	1.06036i
$538$			24.0630i			1.03743i
$539$	−23.9572	+	7.43014i	−1.03191	+	0.320039i
$540$	15.1190	−	5.50733i	0.650618	−	0.236998i
$541$	−12.8141	+	32.6498i	−0.550921	+	1.40373i	0.336025	+	0.941853i	$0.390917\pi$
$541$	−12.8141	+	32.6498i	−0.550921	+	1.40373i	−0.886947	+	0.461872i	$0.847178\pi$
$542$	0.658470	−	8.78668i	0.0282837	−	0.377420i
$543$	5.44977	+	12.3478i	0.233872	+	0.529896i
$544$	3.39718	−	4.98275i	0.145653	−	0.213634i
$545$	−44.1554	−	21.2641i	−1.89141	−	0.910855i
$546$	10.9653	+	13.6096i	0.469272	+	0.582438i
$547$	25.4310	−	12.2469i	1.08735	−	0.523640i	0.197690	−	0.980265i	$-0.436656\pi$
$547$	25.4310	−	12.2469i	1.08735	−	0.523640i	0.889660	+	0.456624i	$0.150942\pi$
$548$	−0.778684	+	5.16623i	−0.0332637	+	0.220690i
$549$	7.09856	−	32.3642i	0.302959	−	1.38127i
$550$	16.2616	−	2.45104i	0.693396	−	0.104513i
$551$	22.2546	−	20.6493i	0.948079	−	0.879689i
$552$	−3.57494	+	0.974176i	−0.152160	+	0.0414637i
$553$	−0.659943	+	3.50261i	−0.0280636	+	0.148946i
$554$	−7.65490	−	6.10458i	−0.325226	−	0.259359i
$555$	22.9025	+	7.90504i	0.972158	+	0.335550i
$556$	1.71901	−	5.57288i	0.0729021	−	0.236343i
$557$	−20.6421	−	11.9177i	−0.874632	−	0.504969i	−0.00574750	−	0.999983i	$-0.501829\pi$
$557$	−20.6421	−	11.9177i	−0.874632	−	0.504969i	−0.868885	+	0.495014i	$0.835163\pi$
$558$	6.94447	−	23.2108i	0.293983	−	0.982593i
$559$	20.5113	−	4.68156i	0.867534	−	0.198009i
$560$	7.73121	−	2.71193i	0.326703	−	0.114600i
$561$	22.0980	−	30.2091i	0.932977	−	1.27543i
$562$	2.48022	−	0.765048i	0.104622	−	0.0322716i
$563$	11.7389	+	29.9102i	0.494735	+	1.26056i	0.932400	+	0.361427i	$0.117710\pi$
$563$	11.7389	+	29.9102i	0.494735	+	1.26056i	−0.437665	+	0.899138i	$0.644194\pi$
$564$	8.91665	+	0.295763i	0.375459	+	0.0124539i
$565$	−15.5327	−	50.3559i	−0.653467	−	2.11849i
$566$	1.50341	−	6.58688i	0.0631932	−	0.276867i
$567$	20.8517	−	11.4981i	0.875689	−	0.482876i
$568$	1.62427	+	7.11641i	0.0681530	+	0.298598i
$569$	−16.0593	+	9.27182i	−0.673239	+	0.388695i	−0.797303	−	0.603579i	$-0.793741\pi$
$569$	−16.0593	+	9.27182i	−0.673239	+	0.388695i	0.124064	+	0.992274i	$0.460407\pi$
$570$	18.5950	+	24.9729i	0.778859	+	1.04600i
$571$	39.6804	+	12.2398i	1.66057	+	0.512219i	0.976193	−	0.216904i	$-0.0695960\pi$
$571$	39.6804	+	12.2398i	1.66057	+	0.512219i	0.684382	+	0.729124i	$0.260072\pi$
$572$	−1.02128	−	13.6280i	−0.0427017	−	0.569815i
$573$	−1.71741	+	0.917017i	−0.0717456	+	0.0383089i
$574$	4.09081	+	3.01431i	0.170747	+	0.125815i
$575$	−7.67601	+	6.12142i	−0.320112	+	0.255281i
$576$	−2.99341	−	0.198799i	−0.124725	−	0.00828331i
$577$	0.482983	+	3.20438i	0.0201068	+	0.133400i	0.996632	−	0.0820027i	$-0.0261316\pi$
$577$	0.482983	+	3.20438i	0.0201068	+	0.133400i	−0.976525	+	0.215403i	$0.930894\pi$
$578$	−10.9108	−	16.0032i	−0.453828	−	0.665644i
$579$	−11.7120	+	18.8163i	−0.486736	+	0.781980i
$580$	7.02679	+	14.5913i	0.291772	+	0.605870i
$581$	−14.8969	+	2.83050i	−0.618027	+	0.117429i
$582$	20.1743	−	17.5109i	0.836253	−	0.725852i
$583$	−10.8131	−	7.37224i	−0.447833	−	0.305327i
$584$	−10.3736	−	9.62530i	−0.429263	−	0.398298i
$585$	−22.3252	−	27.5128i	−0.923034	−	1.13751i
$586$	21.1042	+	8.28278i	0.871806	+	0.342159i
$587$	42.4019			1.75012			0.875058	−	0.484019i	$-0.160823\pi$
$587$	42.4019			1.75012			0.875058	+	0.484019i	$0.160823\pi$
$588$	10.6864	−	5.72718i	0.440700	−	0.236185i
$589$	46.8797			1.93164
$590$	10.7920	+	4.23554i	0.444299	+	0.174374i
$591$	6.73089	−	12.8673i	0.276872	−	0.529290i
$592$	−3.31133	−	3.07246i	−0.136095	−	0.126277i
$593$	−37.1409	−	25.3222i	−1.52519	−	1.03986i	−0.979397	−	0.201942i	$-0.935275\pi$
$593$	−37.1409	−	25.3222i	−1.52519	−	1.03986i	−0.545797	−	0.837918i	$-0.683773\pi$
$594$	−18.5272	−	1.84905i	−0.760181	−	0.0758675i
$595$	1.80955	−	49.3763i	0.0741844	−	2.02423i
$596$	0.0602322	+	0.125073i	0.00246721	+	0.00512320i
$597$	33.1987	+	20.6642i	1.35873	+	0.845728i
$598$	4.59605	+	6.74117i	0.187946	+	0.275667i
$599$	4.35311	+	28.8810i	0.177863	+	1.18005i	0.882443	+	0.470420i	$0.155898\pi$
$599$	4.35311	+	28.8810i	0.177863	+	1.18005i	−0.704579	+	0.709625i	$0.748864\pi$
$600$	−7.49187	+	2.65725i	−0.305854	+	0.108482i
$601$	−2.86203	+	2.28239i	−0.116745	+	0.0931008i	−0.680122	−	0.733099i	$-0.738073\pi$
$601$	−2.86203	+	2.28239i	−0.116745	+	0.0931008i	0.563377	+	0.826200i	$0.309502\pi$
$602$	−0.556923	−	14.5843i	−0.0226985	−	0.594411i
$603$	−10.6942	+	0.892728i	−0.435502	+	0.0363547i
$604$	−0.883264	−	11.7863i	−0.0359395	−	0.479579i
$605$	−5.44438	−	1.67937i	−0.221345	−	0.0682760i
$606$	−0.101889	+	0.0758675i	−0.00413897	+	0.00308191i
$607$	−21.9767	+	12.6883i	−0.892007	+	0.515000i	−0.874598	−	0.484848i	$-0.838875\pi$
$607$	−21.9767	+	12.6883i	−0.892007	+	0.515000i	−0.0174083	+	0.999848i	$0.505542\pi$
$608$	−1.29172	−	5.65941i	−0.0523863	−	0.229519i
$609$	13.5996	+	19.7338i	0.551084	+	0.799654i
$610$	−7.61052	+	33.3439i	−0.308141	+	1.35005i
$611$	−5.79040	−	18.7720i	−0.234255	−	0.759435i
$612$	−7.71121	+	16.3663i	−0.311707	+	0.661568i
$613$	−11.9522	−	30.4538i	−0.482746	−	1.23002i	−0.940151	−	0.340758i	$-0.889316\pi$
$613$	−11.9522	−	30.4538i	−0.482746	−	1.23002i	0.457405	−	0.889258i	$-0.348779\pi$
$614$	15.7520	−	4.85884i	0.635698	−	0.196087i
$615$	−8.31430	−	6.08192i	−0.335265	−	0.245247i
$616$	−9.42166	−	1.05424i	−0.379610	−	0.0424765i
$617$	24.9194	−	5.68770i	1.00322	−	0.228978i	0.310801	−	0.950475i	$-0.399403\pi$
$617$	24.9194	−	5.68770i	1.00322	−	0.228978i	0.692418	+	0.721497i	$0.256545\pi$
$618$	21.2888	−	2.49018i	0.856361	−	0.100170i
$619$	−26.0984	−	15.0679i	−1.04898	−	0.605630i	−0.126618	−	0.991952i	$-0.540412\pi$
$619$	−26.0984	−	15.0679i	−1.04898	−	0.605630i	−0.922364	+	0.386322i	$0.873745\pi$
$620$	−7.37130	+	23.8972i	−0.296039	+	0.959734i
$621$	10.1310	−	4.57446i	0.406543	−	0.183567i
$622$	9.72743	+	7.75736i	0.390034	+	0.311042i
$623$	1.28984	+	1.49649i	0.0516762	+	0.0599556i
$624$	1.73677	+	6.37344i	0.0695265	+	0.255142i
$625$	19.7075	−	18.2859i	0.788301	−	0.731436i
$626$	9.73045	−	1.46663i	0.388907	−	0.0586183i
$627$	−6.84813	−	35.3711i	−0.273488	−	1.41259i
$628$	−2.89591	+	19.2131i	−0.115560	+	0.766688i
$629$	−24.5437	+	11.8196i	−0.978623	+	0.471280i
$630$	−21.6236	+	11.6856i	−0.861505	+	0.465567i
$631$	8.55354	+	4.11917i	0.340511	+	0.163981i	0.596322	−	0.802745i	$-0.296628\pi$
$631$	8.55354	+	4.11917i	0.340511	+	0.163981i	−0.255811	+	0.966727i	$0.582342\pi$
$632$	−0.758879	+	1.11307i	−0.0301866	+	0.0442756i
$633$	−25.9323	+	11.4454i	−1.03072	+	0.454912i
$634$	1.91028	−	25.4909i	0.0758669	−	1.01237i
$635$	−0.0711845	+	0.181375i	−0.00282487	+	0.00719766i
$636$	5.80879	+	2.50507i	0.230334	+	0.0993325i
$637$	−19.5983	−	18.1286i	−0.776512	−	0.718282i
$638$		−	18.7399i		−	0.741920i
$639$	−8.17300	−	20.3159i	−0.323319	−	0.803684i
$640$	3.08802	+	0.231415i	0.122065	+	0.00914750i
$641$	7.35072	−	7.92220i	0.290336	−	0.312908i	−0.570993	−	0.820955i	$-0.693442\pi$
$641$	7.35072	−	7.92220i	0.290336	−	0.312908i	0.861330	+	0.508047i	$0.169632\pi$
$642$	−24.6332	+	15.6242i	−0.972196	+	0.616639i
$643$	0.404837	−	0.840653i	0.0159652	−	0.0331521i	−0.892834	−	0.450386i	$-0.851286\pi$
$643$	0.404837	−	0.840653i	0.0159652	−	0.0331521i	0.908799	+	0.417234i	$0.137001\pi$
$644$	5.18594	−	2.26735i	0.204355	−	0.0893459i
$645$	1.23174	+	29.5620i	0.0484997	+	1.16400i
$646$	−34.6166	−	5.21761i	−1.36197	−	0.205284i
$647$	−38.0648	+	25.9521i	−1.49648	+	1.02028i	−0.509316	+	0.860579i	$0.670102\pi$
$647$	−38.0648	+	25.9521i	−1.49648	+	1.02028i	−0.987165	+	0.159704i	$0.948946\pi$
$648$	8.96213	−	0.824765i	0.352066	−	0.0323998i
$649$	−9.12458	−	9.83396i	−0.358171	−	0.386017i
$650$	10.9133	+	13.6849i	0.428056	+	0.536765i
$651$	−5.33233	+	36.6218i	−0.208991	+	1.43532i
$652$	1.55592	−	1.95106i	0.0609344	−	0.0764094i
$653$	8.98744	−	0.673516i	0.351706	−	0.0263567i	0.102294	−	0.994754i	$-0.467382\pi$
$653$	8.98744	−	0.673516i	0.351706	−	0.0263567i	0.249412	+	0.968398i	$0.419763\pi$
$654$	−20.8531	−	17.7921i	−0.815420	−	0.695726i
$655$	−32.8095	+	56.8278i	−1.28197	+	2.22045i
$656$	0.960297	+	1.66328i	0.0374933	+	0.0649403i
$657$	35.2786	+	23.6166i	1.37635	+	0.921371i
$658$	−13.5410	+	1.53624i	−0.527885	+	0.0598889i
$659$	−37.4898	−	8.55680i	−1.46040	−	0.333326i	−0.582756	−	0.812647i	$-0.698026\pi$
$659$	−37.4898	−	8.55680i	−1.46040	−	0.333326i	−0.877639	+	0.479321i	$0.840883\pi$
$660$	19.1074	+	2.07084i	0.743755	+	0.0806072i
$661$	−31.7385	+	12.4564i	−1.23448	+	0.484499i	−0.890718	−	0.454556i	$-0.849798\pi$
$661$	−31.7385	+	12.4564i	−1.23448	+	0.484499i	−0.343766	+	0.939055i	$0.611703\pi$
$662$	−20.5369	+	8.06012i	−0.798187	+	0.313265i
$663$	39.6056	+	4.29240i	1.53815	+	0.166703i
$664$	−5.58754	−	1.27532i	−0.216839	−	0.0494920i
$665$	−33.6560	−	33.6044i	−1.30512	−	1.30312i
$666$	11.2612	+	7.53858i	0.436362	+	0.292114i
$667$	5.59396	+	9.68902i	0.216599	+	0.375160i
$668$	2.01893	−	3.49690i	0.0781149	−	0.135299i
$669$	−10.2222	−	8.72175i	−0.395215	−	0.337202i
$670$	11.0463	−	0.827805i	0.426755	−	0.0319809i
$671$	24.6750	−	30.9414i	0.952566	−	1.19448i
$672$	4.56799	−	0.365348i	0.176214	−	0.0140936i
$673$	8.39054	+	10.5214i	0.323432	+	0.405570i	0.916791	−	0.399367i	$-0.130770\pi$
$673$	8.39054	+	10.5214i	0.323432	+	0.405570i	−0.593359	+	0.804938i	$0.702199\pi$
$674$	−0.936258	−	1.00905i	−0.0360633	−	0.0388670i
$675$	20.9404	−	11.4106i	0.805996	−	0.439194i
$676$	1.27712	−	0.870726i	0.0491200	−	0.0334895i
$677$	−41.7197	−	6.28823i	−1.60342	−	0.241677i	−0.714464	−	0.699672i	$-0.753330\pi$
$677$	−41.7197	−	6.28823i	−1.60342	−	0.241677i	−0.888955	+	0.457995i	$0.848568\pi$
$678$	−1.22704	−	29.4492i	−0.0471243	−	1.13099i
$679$	−26.5937	+	30.9504i	−1.02057	+	1.18777i
$680$	8.10278	−	16.8256i	0.310727	−	0.645232i
$681$	−6.27475	+	3.97992i	−0.240449	+	0.152511i
$682$	19.6827	−	21.2130i	0.753691	−	0.812286i
$683$	−6.06768	−	0.454710i	−0.232173	−	0.0173990i	−0.0418647	−	0.999123i	$-0.513330\pi$
$683$	−6.06768	−	0.454710i	−0.232173	−	0.0173990i	−0.190309	+	0.981724i	$0.560949\pi$
$684$	6.49968	+	16.1565i	0.248521	+	0.617758i
$685$			16.1789i			0.618164i
$686$	−14.8760	+	11.0320i	−0.567968	+	0.421204i
$687$	−1.05608	−	0.455438i	−0.0402918	−	0.0173760i
$688$	2.01535	−	5.13504i	0.0768346	−	0.195771i
$689$	1.04094	−	13.8904i	0.0396568	−	0.529183i
$690$	−10.4972	+	4.63299i	−0.399621	+	0.176375i
$691$	−1.05518	+	1.54767i	−0.0401411	+	0.0588762i	−0.845785	−	0.533524i	$-0.820867\pi$
$691$	−1.05518	+	1.54767i	−0.0401411	+	0.0588762i	0.805644	+	0.592400i	$0.201820\pi$
$692$	21.3340	+	10.2739i	0.810997	+	0.390556i
$693$	28.4104	−	1.32639i	1.07922	−	0.0503853i
$694$	7.87573	−	3.79275i	0.298959	−	0.143971i
$695$	2.69167	−	17.8581i	0.102101	−	0.677395i
$696$	1.72179	+	8.89318i	0.0652643	+	0.337095i
$697$	11.4531	−	1.72627i	0.433816	−	0.0653872i
$698$	−9.95059	+	9.23279i	−0.376635	+	0.349466i
$699$	1.38545	+	5.08419i	0.0524024	+	0.192302i
$700$	10.7310	−	5.68207i	0.405595	−	0.214762i
$701$	−13.3694	−	10.6617i	−0.504954	−	0.402687i	0.337608	−	0.941287i	$-0.390382\pi$
$701$	−13.3694	−	10.6617i	−0.504954	−	0.402687i	−0.842562	+	0.538600i	$0.818954\pi$
$702$	−8.15539	−	18.0617i	−0.307806	−	0.681693i
$703$	−7.72907	+	25.0570i	−0.291507	+	0.945044i
$704$	−3.10321	−	1.79164i	−0.116957	−	0.0675249i
$705$	27.4402	−	3.20971i	1.03346	−	0.120885i
$706$	−18.1519	+	4.14306i	−0.683157	+	0.155926i
$707$	0.137106	−	0.137316i	0.00515639	−	0.00516431i
$708$	5.23367	+	3.82844i	0.196694	+	0.143881i
$709$	−16.7639	+	5.17098i	−0.629582	+	0.194200i	−0.593093	−	0.805134i	$-0.702094\pi$
$709$	−16.7639	+	5.17098i	−0.629582	+	0.194200i	−0.0364888	+	0.999334i	$0.511617\pi$
$710$	8.25816	+	21.0415i	0.309923	+	0.789672i
$711$	1.72257	−	3.65598i	0.0646014	−	0.137110i
$712$	0.220100	+	0.713548i	0.00824861	+	0.0267413i
$713$	−3.84432	+	16.8431i	−0.143971	+	0.630777i
$714$	8.01340	−	26.4486i	0.299894	−	0.989814i
$715$	−9.41706	−	41.2588i	−0.352178	−	1.54299i
$716$	17.3018	−	9.98920i	0.646598	−	0.373314i
$717$	−33.4742	+	24.9251i	−1.25012	+	0.930846i
$718$	−23.3424	−	7.20018i	−0.871131	−	0.268708i
$719$	−0.413726	−	5.52079i	−0.0154294	−	0.205891i	−0.999591	−	0.0286145i	$-0.990890\pi$
$719$	−0.413726	−	5.52079i	−0.0154294	−	0.205891i	0.984161	−	0.177276i	$-0.0567286\pi$
$720$	−9.25785	+	0.772824i	−0.345020	+	0.0288014i
$721$	−31.6187	+	8.49825i	−1.17754	+	0.316491i
$722$	−11.4909	+	9.16372i	−0.427648	+	0.341038i
$723$	−27.7038	+	9.82611i	−1.03032	+	0.365437i
$724$	−1.16141	−	7.70545i	−0.0431635	−	0.286371i
$725$	13.5208	+	19.8314i	0.502150	+	0.736519i
$726$	−2.70547	−	1.68399i	−0.100409	−	0.0624988i
$727$	−3.50973	−	7.28804i	−0.130169	−	0.270298i	0.825690	−	0.564124i	$-0.190786\pi$
$727$	−3.50973	−	7.28804i	−0.130169	−	0.270298i	−0.955859	+	0.293825i	$0.905072\pi$
$728$	−4.04225	−	9.24555i	−0.149816	−	0.342663i
$729$	−26.1616	+	6.67608i	−0.968949	+	0.247262i
$730$	−36.2074	−	24.6858i	−1.34010	−	0.913662i
$731$	−24.3866	−	22.6275i	−0.901971	−	0.836907i
$732$	−8.86686	+	16.9506i	−0.327729	+	0.626512i
$733$	−2.75763	−	1.08229i	−0.101855	−	0.0399753i	0.313866	−	0.949467i	$-0.398376\pi$
$733$	−2.75763	−	1.08229i	−0.101855	−	0.0399753i	−0.415722	+	0.909492i	$0.636471\pi$
$734$	−1.36254			−0.0502923
$735$	30.0795	−	22.4693i	1.10950	−	0.828794i
$736$	2.13925			0.0788539
$737$	−11.9318	−	4.68289i	−0.439514	−	0.172497i
$738$	−3.63051	−	4.47410i	−0.133641	−	0.164694i
$739$	−23.6087	−	21.9057i	−0.868460	−	0.805813i	0.113767	−	0.993507i	$-0.463708\pi$
$739$	−23.6087	−	21.9057i	−0.868460	−	0.805813i	−0.982228	+	0.187694i	$0.939899\pi$
$740$	−11.5577	−	7.87987i	−0.424868	−	0.289670i
$741$	28.9592	−	25.1361i	1.06384	−	0.923397i
$742$	−9.33568	−	2.49380i	−0.342724	−	0.0915505i
$743$	−1.62659	−	3.37765i	−0.0596739	−	0.123914i	0.868999	−	0.494814i	$-0.164764\pi$
$743$	−1.62659	−	3.37765i	−0.0596739	−	0.123914i	−0.928673	+	0.370900i	$0.879049\pi$
$744$	−7.39160	+	11.8752i	−0.270989	+	0.435366i
$745$	0.242163	+	0.355187i	0.00887215	+	0.0130131i
$746$	4.33261	+	28.7450i	0.158628	+	1.05243i
$747$	17.1559	+	1.13937i	0.627702	+	0.0416872i
$748$	−16.8950	+	13.4733i	−0.617741	+	0.492632i
$749$	33.7518	−	29.0909i	1.23326	−	1.06296i
$750$	1.94248	−	1.03720i	0.0709294	−	0.0378731i
$751$	−0.651964	−	8.69985i	−0.0237905	−	0.317462i	−0.996385	−	0.0849538i	$-0.972926\pi$
$751$	−0.651964	−	8.69985i	−0.0237905	−	0.317462i	0.972594	−	0.232508i	$-0.0746933\pi$
$752$	−4.92202	−	1.51824i	−0.179488	−	0.0553646i
$753$	15.9553	+	21.4279i	0.581445	+	0.780875i
$754$	17.2737	−	9.97297i	0.629071	−	0.363194i
$755$	−8.14447	−	35.6832i	−0.296407	−	1.29865i
$756$	−13.3605	+	3.23975i	−0.485918	+	0.117829i
$757$	−7.94781	+	34.8216i	−0.288868	+	1.26561i	0.597213	+	0.802083i	$0.296275\pi$
$757$	−7.94781	+	34.8216i	−0.288868	+	1.26561i	−0.886081	+	0.463531i	$0.846582\pi$
$758$	−1.36887	−	4.43778i	−0.0497197	−	0.161187i
$759$	13.2698	+	0.440155i	0.481663	+	0.0159766i
$760$	−6.56740	−	16.7335i	−0.238225	−	0.606987i
$761$	30.1704	−	9.30632i	1.09367	−	0.337354i	0.305117	−	0.952315i	$-0.401304\pi$
$761$	30.1704	−	9.30632i	1.09367	−	0.337354i	0.788558	+	0.614961i	$0.210828\pi$
$762$	−0.0643426	+	0.0879597i	−0.00233089	+	0.00318644i
$763$	35.4714	+	22.2502i	1.28415	+	0.805510i
$764$	1.09586	−	0.250123i	0.0396468	−	0.00904912i
$765$	−16.0588	+	53.6742i	−0.580608	+	1.94059i
$766$	−1.89274	−	1.09277i	−0.0683875	−	0.0394835i
$767$	4.20865	−	13.6441i	0.151965	−	0.492660i
$768$	1.63727	+	0.565119i	0.0590798	+	0.0203920i
$769$	−1.76837	−	1.41023i	−0.0637692	−	0.0508543i	0.591086	−	0.806608i	$-0.298699\pi$
$769$	−1.76837	−	1.41023i	−0.0637692	−	0.0508543i	−0.654856	+	0.755754i	$0.727271\pi$
$770$	−29.3366	+	1.12026i	−1.05722	+	0.0403715i
$771$	−34.4122	+	9.37738i	−1.23933	+	0.337718i
$772$	9.38026	−	8.70361i	0.337603	−	0.313250i
$773$	13.0673	−	1.96958i	0.469999	−	0.0708409i	0.0902273	−	0.995921i	$-0.471241\pi$
$773$	13.0673	−	1.96958i	0.469999	−	0.0708409i	0.379772	+	0.925080i	$0.376003\pi$
$774$	−3.54549	+	16.1648i	−0.127440	+	0.581033i
$775$	−5.52403	+	36.6495i	−0.198429	+	1.31649i
$776$	−13.8959	+	6.69193i	−0.498835	+	0.240226i
$777$	−18.6951	−	8.88797i	−0.670683	−	0.318854i
$778$	2.89953	+	1.39634i	0.103953	+	0.0500612i
$779$	6.28043	−	9.21170i	0.225020	−	0.330043i
$780$	8.25974	+	18.7145i	0.295746	+	0.670087i
$781$	1.95463	−	26.0827i	0.0699421	−	0.933312i
$782$	4.71329	−	12.0093i	0.168547	−	0.429451i
$783$	−9.30104	−	25.5337i	−0.332392	−	0.912500i
$784$	−6.82209	+	1.56813i	−0.243646	+	0.0560046i
$785$			60.1690i			2.14752i
$786$	−25.8422	+	26.0624i	−0.921759	+	0.929613i
$787$	42.6741	+	3.19798i	1.52117	+	0.113996i	0.808914	−	0.587927i	$-0.200056\pi$
$787$	42.6741	+	3.19798i	1.52117	+	0.113996i	0.712254	+	0.701922i	$0.247675\pi$
$788$	−5.70254	+	6.14588i	−0.203145	+	0.218938i
$789$	−8.51097	−	13.4184i	−0.302999	−	0.477709i
$790$	−1.81004	+	3.75858i	−0.0643983	+	0.133724i
$791$	8.40435	+	44.2321i	0.298824	+	1.57271i
$792$	10.0397	+	3.84231i	0.356745	+	0.136531i
$793$	41.6520	+	6.27803i	1.47911	+	0.222939i
$794$	17.5427	−	11.9604i	0.622566	−	0.424458i
$795$	18.9433	+	4.98979i	0.671848	+	0.176970i
$796$	−15.3562	−	16.5501i	−0.544288	−	0.586602i
$797$	−4.92889	−	6.18064i	−0.174590	−	0.218929i	0.686835	−	0.726813i	$-0.258999\pi$
$797$	−4.92889	−	6.18064i	−0.174590	−	0.218929i	−0.861426	+	0.507884i	$0.830428\pi$
$798$	−13.4161	−	22.9708i	−0.474924	−	0.813156i
$799$	−19.3675	+	24.2861i	−0.685172	+	0.859179i
$800$	4.57661	−	0.342970i	0.161808	−	0.0121258i
$801$	−0.989062	−	2.01000i	−0.0349468	−	0.0710199i
$802$	1.40648	−	2.43609i	0.0496644	−	0.0860213i
$803$	25.3539	+	43.9143i	0.894721	+	1.54970i
$804$	6.09260	+	1.12603i	0.214869	+	0.0397121i
$805$	14.8334	−	9.33633i	0.522808	−	0.329062i
$806$	30.0280	+	6.85369i	1.05769	+	0.241411i
$807$	−4.49075	+	41.4357i	−0.158082	+	1.45860i
$808$	0.0682725	−	0.0267950i	0.00240182	−	0.000942644i
$809$	37.4974	−	14.7167i	1.31834	−	0.517410i	0.401205	−	0.915988i	$-0.368591\pi$
$809$	37.4974	−	14.7167i	1.31834	−	0.517410i	0.917135	+	0.398578i	$0.130496\pi$
$810$	27.0622	−	6.66186i	0.950870	−	0.234074i
$811$	50.0897	+	11.4327i	1.75889	+	0.401455i	0.975486	−	0.220061i	$-0.0706256\pi$
$811$	50.0897	+	11.4327i	1.75889	+	0.401455i	0.783402	+	0.621516i	$0.213483\pi$
$812$	−4.58004	−	13.0568i	−0.160728	−	0.458205i
$813$	2.77367	−	15.0075i	0.0972770	−	0.526335i
$814$	8.09315	+	14.0177i	0.283665	+	0.491322i
$815$	3.86388	−	6.69244i	0.135346	−	0.234426i
$816$	6.77974	−	7.94614i	0.237339	−	0.278171i
$817$	−31.9327	+	2.39302i	−1.11718	+	0.0837213i
$818$	−4.39773	+	5.51458i	−0.153763	+	0.192813i
$819$	16.3420	+	25.4817i	0.571036	+	0.890403i
$820$	3.70819	+	4.64992i	0.129496	+	0.162382i
$821$	−19.3493	−	20.8535i	−0.675294	−	0.727794i	0.298705	−	0.954345i	$-0.403445\pi$
$821$	−19.3493	−	20.8535i	−0.675294	−	0.727794i	−0.973999	+	0.226552i	$0.927255\pi$
$822$	−2.30501	+	8.75076i	−0.0803966	+	0.305218i
$823$	−6.23212	+	4.24899i	−0.217238	+	0.148110i	−0.667050	−	0.745013i	$-0.732443\pi$
$823$	−6.23212	+	4.24899i	−0.217238	+	0.148110i	0.449812	+	0.893123i	$0.351491\pi$
$824$	−12.2367	−	1.84438i	−0.426285	−	0.0642521i
$825$	28.4593	−	1.18580i	0.990827	−	0.0412842i
$826$	−8.76088	−	4.62165i	−0.304830	−	0.160808i
$827$	21.9862	−	45.6549i	0.764536	−	1.58757i	−0.0439321	−	0.999035i	$-0.513989\pi$
$827$	21.9862	−	45.6549i	0.764536	−	1.58757i	0.808468	−	0.588540i	$-0.200297\pi$
$828$	−6.33773	+	1.01033i	−0.220252	+	0.0351113i
$829$	18.0933	−	19.4999i	0.628405	−	0.677259i	−0.335948	−	0.941881i	$-0.609057\pi$
$829$	18.0933	−	19.4999i	0.628405	−	0.677259i	0.964352	+	0.264621i	$0.0852470\pi$
$830$	−17.6982	−	1.32630i	−0.614313	−	0.0460364i
$831$	−12.0422	−	11.9405i	−0.417740	−	0.414211i
$832$		−	3.81388i		−	0.132223i
$833$	−6.22762	+	41.7526i	−0.215774	+	1.44664i
$834$	4.00011	−	9.27550i	0.138512	−	0.321184i
$835$	4.56822	−	11.6396i	0.158090	−	0.402806i
$836$	−1.55444	+	20.7426i	−0.0537615	+	0.717397i
$837$	16.2899	−	38.6723i	0.563060	−	1.33671i
$838$	13.9230	−	20.4213i	0.480963	−	0.705443i
$839$	9.40712	+	4.53023i	0.324770	+	0.156401i	0.589163	−	0.808014i	$-0.299457\pi$
$839$	9.40712	+	4.53023i	0.324770	+	0.156401i	−0.264393	+	0.964415i	$0.585172\pi$
$840$	13.8190	−	3.22703i	0.476801	−	0.111343i
$841$	−1.48564	+	0.715446i	−0.0512290	+	0.0246706i
$842$	−0.950576	+	6.30666i	−0.0327590	+	0.217342i
$843$	4.41364	−	0.854517i	0.152014	−	0.0294311i
$844$	16.1827	−	2.43914i	0.557030	−	0.0839587i
$845$	3.50879	−	3.25568i	0.120706	−	0.111999i
$846$	15.2990	+	2.17336i	0.525990	+	0.0747217i
$847$	4.46318	+	1.94318i	0.153357	+	0.0667686i
$848$	−2.85547	−	2.27716i	−0.0980571	−	0.0781980i
$849$	3.81810	−	11.0618i	0.131037	−	0.379641i
$850$	8.15804	−	26.4477i	0.279818	−	0.907149i
$851$	−8.36874	−	4.83169i	−0.286877	−	0.165628i
$852$	1.46885	+	12.5573i	0.0503219	+	0.430208i
$853$	15.1979	−	3.46881i	0.520365	−	0.118770i	0.0457319	−	0.998954i	$-0.485438\pi$
$853$	15.1979	−	3.46881i	0.520365	−	0.118770i	0.474633	+	0.880184i	$0.342581\pi$
$854$	9.62991	−	27.5887i	0.329529	−	0.944064i
$855$	27.3594	+	46.4728i	0.935673	+	1.58934i
$856$	16.0933	−	4.96413i	0.550058	−	0.169670i
$857$	0.889683	+	2.26688i	0.0303910	+	0.0774350i	0.945264	−	0.326307i	$-0.105804\pi$
$857$	0.889683	+	2.26688i	0.0303910	+	0.0774350i	−0.914873	+	0.403742i	$0.867709\pi$
$858$	0.784713	−	23.6575i	0.0267897	−	0.807655i
$859$	−0.146697	−	0.475578i	−0.00500522	−	0.0162265i	0.953036	−	0.302858i	$-0.0979407\pi$
$859$	−0.146697	−	0.475578i	−0.00500522	−	0.0162265i	−0.958041	+	0.286631i	$0.907465\pi$
$860$	3.80120	−	16.6541i	0.129620	−	0.567901i
$861$	6.48170	+	5.95398i	0.220896	+	0.202911i
$862$	−0.951590	−	4.16919i	−0.0324113	−	0.142003i
$863$	−35.5998	+	20.5536i	−1.21183	+	0.699651i	−0.963158	−	0.268936i	$-0.913328\pi$
$863$	−35.5998	+	20.5536i	−1.21183	+	0.699651i	−0.248674	+	0.968587i	$0.579995\pi$
$864$	−5.11745	−	0.900969i	−0.174099	−	0.0306516i
$865$	70.0685	+	21.6133i	2.38240	+	0.734874i
$866$	2.29724	+	30.6545i	0.0780634	+	1.04168i
$867$	−15.8014	−	29.5931i	−0.536644	−	1.00504i
$868$	8.52928	−	19.5904i	0.289503	−	0.664940i
$869$	3.77408	−	3.00973i	0.128027	−	0.102098i
$870$	9.37682	+	26.4371i	0.317904	+	0.896301i
$871$	−2.03335	−	13.4904i	−0.0688975	−	0.457105i
$872$	8.91523	+	13.0762i	0.301908	+	0.442818i
$873$	38.0075	−	26.3882i	1.28636	−	0.893106i
$874$	−5.38808	−	11.1885i	−0.182255	−	0.378456i
$875$	−2.70488	+	1.99950i	−0.0914416	+	0.0675955i
$876$	−16.0667	−	18.5104i	−0.542843	−	0.625409i
$877$	37.8832	+	25.8283i	1.27922	+	0.872161i	0.996212	−	0.0869554i	$-0.0277138\pi$
$877$	37.8832	+	25.8283i	1.27922	+	0.872161i	0.283013	+	0.959116i	$0.408666\pi$
$878$	−0.572987	−	0.531654i	−0.0193374	−	0.0179425i
$879$	34.7949	+	18.2012i	1.17360	+	0.613912i
$880$	−10.3292	−	4.05392i	−0.348198	−	0.136658i
$881$	−3.75104			−0.126376			−0.0631879	−	0.998002i	$-0.520127\pi$
$881$	−3.75104			−0.126376			−0.0631879	+	0.998002i	$0.520127\pi$
$882$	19.4705	−	7.86766i	0.655605	−	0.264918i
$883$	−5.61448			−0.188942			−0.0944712	−	0.995528i	$-0.530116\pi$
$883$	−5.61448			−0.188942			−0.0944712	+	0.995528i	$0.530116\pi$
$884$	−21.4103	−	8.40291i	−0.720105	−	0.282620i
$885$	17.7930	+	9.30751i	0.598104	+	0.312868i
$886$	25.4013	+	23.5689i	0.853373	+	0.791814i
$887$	−32.9744	−	22.4816i	−1.10717	−	0.754858i	−0.135403	−	0.990791i	$-0.543233\pi$
$887$	−32.9744	−	22.4816i	−1.10717	−	0.754858i	−0.971769	+	0.235933i	$0.924185\pi$
$888$	−5.12860	−	5.90865i	−0.172104	−	0.198281i
$889$	0.0776738	−	0.147240i	0.00260509	−	0.00493826i
$890$	1.00330	+	2.08337i	0.0336306	+	0.0698346i
$891$	−31.5582	−	6.64164i	−1.05724	−	0.222503i
$892$	4.37028	+	6.41002i	0.146328	+	0.214623i
$893$	4.45644	+	29.5665i	0.149129	+	0.989407i
$894$	0.0803760	+	0.226613i	0.00268818	+	0.00757907i
$895$	48.3694	−	38.5733i	1.61681	−	1.28936i
$896$	−2.60000	−	0.489879i	−0.0868600	−	0.0163657i
$897$	6.65618	+	12.4658i	0.222243	+	0.416221i
$898$	−1.27596	−	17.0265i	−0.0425793	−	0.568181i
$899$	40.3587	+	12.4490i	1.34604	+	0.415197i
$900$	−13.3967	+	3.17752i	−0.446555	+	0.105917i
$901$	−19.0747	+	11.0128i	−0.635472	+	0.366890i
$902$	−1.53139	−	6.70948i	−0.0509898	−	0.223401i
$903$	1.76278	−	25.2176i	0.0586618	−	0.839189i
$904$	−3.78670	+	16.5906i	−0.125944	+	0.551795i
$905$	−7.11270	−	23.0588i	−0.236434	−	0.766501i
$906$	0.678669	−	20.4605i	0.0225473	−	0.679755i
$907$	2.73706	+	6.97392i	0.0908826	+	0.231565i	0.969086	−	0.246721i	$-0.0793533\pi$
$907$	2.73706	+	6.97392i	0.0908826	+	0.231565i	−0.878204	+	0.478287i	$0.841258\pi$
$908$	4.09941	−	1.26450i	0.136044	−	0.0419639i
$909$	−0.189609	+	0.111626i	−0.00628893	+	0.00370241i
$910$	−16.6449	−	26.4451i	−0.551773	−	0.876647i
$911$	−42.6375	+	9.73173i	−1.41264	+	0.322427i	−0.859703	−	0.510795i	$-0.829351\pi$
$911$	−42.6375	+	9.73173i	−1.41264	+	0.322427i	−0.552940	+	0.833221i	$0.686494\pi$
$912$	−1.16812	−	9.98638i	−0.0386803	−	0.330682i
$913$	17.7852	+	10.2683i	0.588605	+	0.339831i
$914$	−4.06403	+	13.1753i	−0.134426	+	0.435799i
$915$	−19.3279	+	55.9967i	−0.638959	+	1.85119i
$916$	0.519142	+	0.414002i	0.0171529	+	0.0136790i
$917$	33.2571	−	45.1344i	1.09825	−	1.49047i
$918$	−16.3328	+	26.7431i	−0.539063	+	0.882654i
$919$	10.1309	−	9.40012i	0.334188	−	0.310081i	−0.495173	−	0.868795i	$-0.664895\pi$
$919$	10.1309	−	9.40012i	0.334188	−	0.310081i	0.829361	+	0.558713i	$0.188705\pi$
$920$	6.55060	−	0.987344i	0.215967	−	0.0325518i
$921$	28.0312	−	5.42706i	0.923658	−	0.178828i
$922$	1.47354	−	9.77628i	0.0485284	−	0.321965i
$923$	25.0822	−	12.0789i	0.825590	−	0.397583i
$924$	−16.0270	−	3.57368i	−0.527251	−	0.117565i
$925$	−18.6783	−	8.99500i	−0.614139	−	0.295754i
$926$	−5.33543	+	7.82564i	−0.175333	+	0.257166i
$927$	37.1233	−	0.314990i	1.21929	−	0.0103456i
$928$	0.390825	−	5.21520i	0.0128295	−	0.171197i
$929$	7.86305	−	20.0347i	0.257978	−	0.657318i	−0.741935	−	0.670471i	$-0.766092\pi$
$929$	7.86305	−	20.0347i	0.257978	−	0.657318i	0.999913	+	0.0131538i	$0.00418709\pi$
$930$	−17.1529	+	39.7745i	−0.562467	+	1.30426i
$931$	25.3841	+	31.7305i	0.831929	+	1.03993i
$932$		−	3.04239i		−	0.0996568i
$933$	15.3026	+	15.1733i	0.500985	+	0.496752i
$934$	24.0186	+	1.79995i	0.785913	+	0.0588960i
$935$	−45.5156	+	49.0541i	−1.48852	+	1.60424i
$936$	1.80122	+	11.2990i	0.0588748	+	0.369319i
$937$	−8.99102	+	18.6701i	−0.293724	+	0.609924i	−0.994649	−	0.103311i	$-0.967056\pi$
$937$	−8.99102	+	18.6701i	−0.293724	+	0.609924i	0.700925	+	0.713235i	$0.252771\pi$
$938$	−9.45787	−	0.346614i	−0.308810	−	0.0113174i
$939$	17.0292	−	0.709546i	0.555728	−	0.0231552i
$940$	−15.7724	−	2.37731i	−0.514440	−	0.0775394i
$941$	−33.1495	+	22.6009i	−1.08064	+	0.736770i	−0.966493	−	0.256694i	$-0.917367\pi$
$941$	−33.1495	+	22.6009i	−1.08064	+	0.736770i	−0.114150	+	0.993464i	$0.536414\pi$
$942$	−8.57231	+	32.5439i	−0.279301	+	1.06034i
$943$	2.79458	+	3.01185i	0.0910042	+	0.0980792i
$944$	−2.33423	−	2.92703i	−0.0759726	−	0.0952666i
$945$	−39.4160	+	16.0868i	−1.28220	+	0.523304i
$946$	−12.3243	+	15.4542i	−0.400698	+	0.502459i
$947$	1.42514	−	0.106800i	0.0463109	−	0.00347052i	−0.0515545	−	0.998670i	$-0.516418\pi$
$947$	1.42514	−	0.106800i	0.0463109	−	0.00347052i	0.0978654	+	0.995200i	$0.468799\pi$
$948$	−1.51449	+	1.77505i	−0.0491884	+	0.0576509i
$949$	−26.9856	+	46.7405i	−0.875991	+	1.51726i
$950$	−13.3208	−	23.0722i	−0.432182	−	0.748562i
$951$	8.04667	−	43.5380i	0.260931	−	1.41182i
$952$	−8.47851	+	13.5165i	−0.274790	+	0.438072i
$953$	−11.0100	−	2.51297i	−0.356650	−	0.0814030i	0.0404420	−	0.999182i	$-0.487123\pi$
$953$	−11.0100	−	2.51297i	−0.356650	−	0.0814030i	−0.397092	+	0.917779i	$0.629981\pi$
$954$	9.53504	+	5.39771i	0.308708	+	0.174757i
$955$	3.24018	−	1.27168i	0.104850	−	0.0411505i
$956$	22.4299	−	8.80309i	0.725435	−	0.284712i
$957$	3.49733	−	32.2695i	0.113053	−	1.04313i
$958$	−7.86000	−	1.79399i	−0.253945	−	0.0579613i
$959$	1.53713	−	13.7372i	0.0496365	−	0.443598i
$960$	5.27429	+	0.974791i	0.170227	+	0.0314612i
$961$	17.1093	+	29.6343i	0.551914	+	0.955944i
$962$	−8.61400	+	14.9199i	−0.277726	+	0.481036i
$963$	−45.3335	+	22.3072i	−1.46085	+	0.718841i
$964$	16.9237	−	1.26825i	0.545074	−	0.0408477i
$965$	24.7062	−	30.9806i	0.795321	−	0.997301i
$966$	9.35316	−	2.93647i	0.300933	−	0.0944794i
$967$	−19.3309	−	24.2402i	−0.621639	−	0.779511i	0.366935	−	0.930247i	$-0.380407\pi$
$967$	−19.3309	−	24.2402i	−0.621639	−	0.779511i	−0.988574	+	0.150736i	$0.951836\pi$
$968$	1.25143	+	1.34872i	0.0402225	+	0.0433496i
$969$	−58.6349	−	15.4449i	−1.88362	−	0.496161i
$970$	−39.4621	+	26.9048i	−1.26705	+	0.863861i
$971$	50.6296	+	7.63118i	1.62478	+	0.244896i	0.897361	−	0.441296i	$-0.145481\pi$
$971$	50.6296	+	7.63118i	1.62478	+	0.244896i	0.727420	+	0.686193i	$0.240719\pi$
$972$	15.5864	+	0.252335i	0.499934	+	0.00809365i
$973$	−3.98212	+	14.9073i	−0.127661	+	0.477905i
$974$	7.81761	−	16.2334i	0.250493	−	0.520153i
$975$	16.2385	+	25.6016i	0.520047	+	0.819907i
$976$	7.51218	−	8.09620i	0.240459	−	0.259153i
$977$	−33.3179	−	2.49683i	−1.06593	−	0.0798807i	−0.469806	−	0.882770i	$-0.655676\pi$
$977$	−33.3179	−	2.49683i	−1.06593	−	0.0798807i	−0.596129	+	0.802889i	$0.703295\pi$
$978$	3.04335	−	3.06929i	0.0973157	−	0.0981450i
$979$		−	2.67571i		−	0.0855162i
$980$	−20.1662	+	7.95040i	−0.644184	+	0.253966i
$981$	−32.5879	−	34.5291i	−1.04045	−	1.10243i
$982$	5.52190	−	14.0696i	0.176211	−	0.448978i
$983$	−1.33440	+	17.8063i	−0.0425606	+	0.567932i	0.934637	+	0.355602i	$0.115724\pi$
$983$	−1.33440	+	17.8063i	−0.0425606	+	0.567932i	−0.977198	+	0.212330i	$0.931895\pi$
$984$	1.34319	+	3.04334i	0.0428194	+	0.0970180i
$985$	−14.6252	+	21.4512i	−0.465997	+	0.683492i
$986$	−28.4159	−	13.6844i	−0.904945	−	0.435799i
$987$	−23.6039	+	0.118267i	−0.751321	+	0.00376448i
$988$	−19.9469	+	9.60593i	−0.634596	+	0.305605i
$989$	1.75883	−	11.6691i	0.0559276	−	0.371055i
$990$	32.5159	+	7.13183i	1.03342	+	0.226664i
$991$	27.5573	−	4.15359i	0.875385	−	0.131943i	0.304046	−	0.952657i	$-0.401662\pi$
$991$	27.5573	−	4.15359i	0.875385	−	0.131943i	0.571339	+	0.820714i	$0.306424\pi$
$992$	5.91999	−	5.49294i	0.187960	−	0.174401i
$993$	−36.8680	+	10.0466i	−1.16997	+	0.318819i
$994$	−5.01275	−	18.6505i	−0.158995	−	0.591559i
$995$	−54.6608	−	43.5905i	−1.73286	−	1.38191i
$996$	−9.38355	−	3.23883i	−0.297329	−	0.102626i
$997$	−3.91295	+	12.6855i	−0.123924	+	0.401753i	−0.996183	−	0.0872924i	$-0.972179\pi$
$997$	−3.91295	+	12.6855i	−0.123924	+	0.401753i	0.872258	+	0.489045i	$0.162655\pi$
$998$	15.9433	+	9.20490i	0.504678	+	0.291376i
$999$	17.9845	+	15.0828i	0.569004	+	0.477198i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	294.2.p.a.101.2	✓	216
3.2	odd	2	inner	294.2.p.a.101.11	yes	216
49.33	odd	42	inner	294.2.p.a.131.11	yes	216
147.131	even	42	inner	294.2.p.a.131.2	yes	216

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
294.2.p.a.101.2	✓	216	1.1	even	1	trivial
294.2.p.a.101.11	yes	216	3.2	odd	2	inner
294.2.p.a.131.2	yes	216	147.131	even	42	inner
294.2.p.a.131.11	yes	216	49.33	odd	42	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:	\( N \)	\(=\)	\( 294 = 2 \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	294.p (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.930874 - 0.365341i) q^{2} +(-1.53475 - 0.802829i) q^{3} +(0.733052 + 0.680173i) q^{4} +(2.55860 + 1.74442i) q^{5} +(1.13535 + 1.30804i) q^{6} +(-2.00673 - 1.72425i) q^{7} +(-0.433884 - 0.900969i) q^{8} +(1.71093 + 2.46429i) q^{9} +(-1.74442 - 2.55860i) q^{10} +(0.534060 + 3.54325i) q^{11} +(-0.578991 - 1.63241i) q^{12} +(-2.98181 + 2.37792i) q^{13} +(1.23807 + 2.33820i) q^{14} +(-2.52634 - 4.73138i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(5.76272 + 1.77756i) q^{17} +(-0.692355 - 2.91901i) q^{18} +(5.02724 - 2.90248i) q^{19} +(0.689077 + 3.01904i) q^{20} +(1.69556 + 4.25736i) q^{21} +(0.797354 - 3.49344i) q^{22} +(0.630556 + 2.04421i) q^{23} +(-0.0574200 + 1.73110i) q^{24} +(1.67671 + 4.27220i) q^{25} +(3.64444 - 1.12416i) q^{26} +(-0.647452 - 5.15566i) q^{27} +(-0.298249 - 2.62889i) q^{28} +(5.09870 - 1.16375i) q^{29} +(0.623140 + 5.32729i) q^{30} +(6.99386 + 4.03790i) q^{31} +(0.294755 - 0.955573i) q^{32} +(2.02498 - 5.86678i) q^{33} +(-4.71495 - 3.76005i) q^{34} +(-2.12660 - 7.91225i) q^{35} +(-0.421941 + 2.97018i) q^{36} +(-3.31133 + 3.07246i) q^{37} +(-5.74011 + 0.865183i) q^{38} +(6.48541 - 1.25563i) q^{39} +(0.461537 - 3.06210i) q^{40} +(1.73040 - 0.833315i) q^{41} +(-0.0229606 - 4.58252i) q^{42} +(-4.97007 - 2.39346i) q^{43} +(-2.01853 + 2.96064i) q^{44} +(0.0788229 + 9.28972i) q^{45} +(0.159867 - 2.13327i) q^{46} +(-1.88182 + 4.79480i) q^{47} +(0.685892 - 1.59046i) q^{48} +(1.05393 + 6.92020i) q^{49} -4.58945i q^{50} +(-7.41727 - 7.35460i) q^{51} +(-3.80322 - 0.285012i) q^{52} +(-2.48418 + 2.67731i) q^{53} +(-1.28088 + 5.03581i) q^{54} +(-4.81449 + 9.99740i) q^{55} +(-0.682808 + 2.55612i) q^{56} +(-10.0458 + 0.418570i) q^{57} +(-5.17141 - 0.779465i) q^{58} +(-3.09328 + 2.10896i) q^{59} +(1.36621 - 5.18669i) q^{60} +(-7.51218 - 8.09620i) q^{61} +(-5.03518 - 6.31392i) q^{62} +(0.815673 - 7.89523i) q^{63} +(-0.623490 + 0.781831i) q^{64} +(-11.7774 + 0.882591i) q^{65} +(-4.02837 + 4.72142i) q^{66} +(-1.78857 + 3.09789i) q^{67} +(3.01532 + 5.22269i) q^{68} +(0.673406 - 3.64359i) q^{69} +(-0.911077 + 8.14224i) q^{70} +(-7.11641 - 1.62427i) q^{71} +(1.47790 - 2.61071i) q^{72} +(13.1730 - 5.17004i) q^{73} +(4.20492 - 1.65031i) q^{74} +(0.856504 - 7.90288i) q^{75} +(5.65941 + 1.29172i) q^{76} +(5.03774 - 8.03121i) q^{77} +(-6.49583 - 1.20056i) q^{78} +(-0.673577 - 1.16667i) q^{79} +(-1.54834 + 2.68181i) q^{80} +(-3.14543 + 8.43245i) q^{81} +(-1.91522 + 0.143526i) q^{82} +(3.57337 - 4.48086i) q^{83} +(-1.65281 + 4.27413i) q^{84} +(11.6437 + 14.6007i) q^{85} +(3.75208 + 4.04378i) q^{86} +(-8.75953 - 2.30733i) q^{87} +(2.96064 - 2.01853i) q^{88} +(-0.738382 - 0.111293i) q^{89} +(3.32054 - 8.67635i) q^{90} +(10.0838 + 0.369554i) q^{91} +(-0.928187 + 1.92740i) q^{92} +(-7.49209 - 11.8121i) q^{93} +(3.50348 - 3.77585i) q^{94} +(17.9258 + 1.34336i) q^{95} +(-1.21954 + 1.22993i) q^{96} -15.4233i q^{97} +(1.54716 - 6.82688i) q^{98} +(-7.81786 + 7.37834i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 216 q - 18 q^{4} + 14 q^{6} + 10 q^{7} + 16 q^{9} + 6 q^{10} - 12 q^{15} + 18 q^{16} - 4 q^{18} - 12 q^{19} + 10 q^{22} - 6 q^{24} + 16 q^{25} - 42 q^{27} + 2 q^{28} + 4 q^{30} + 6 q^{31} + 18 q^{33} - 10 q^{36}+ \cdots + 224 q^{99}+O(q^{100}) \) 216 * q - 18 * q^4 + 14 * q^6 + 10 * q^7 + 16 * q^9 + 6 * q^10 - 12 * q^15 + 18 * q^16 - 4 * q^18 - 12 * q^19 + 10 * q^22 - 6 * q^24 + 16 * q^25 - 42 * q^27 + 2 * q^28 + 4 * q^30 + 6 * q^31 + 18 * q^33 - 10 * q^36 - 36 * q^37 + 4 * q^39 - 22 * q^40 + 20 * q^42 + 40 * q^43 - 14 * q^45 - 156 * q^46 - 134 * q^49 - 12 * q^51 + 16 * q^52 - 18 * q^54 - 322 * q^55 - 34 * q^57 - 164 * q^58 - 6 * q^60 + 56 * q^61 - 24 * q^63 + 36 * q^64 - 28 * q^69 - 4 * q^70 + 4 * q^72 - 24 * q^73 + 84 * q^75 + 16 * q^78 + 22 * q^79 - 52 * q^81 + 24 * q^82 + 42 * q^84 + 32 * q^85 - 94 * q^87 - 2 * q^88 + 42 * q^90 - 100 * q^91 - 266 * q^93 - 88 * q^94 - 6 * q^96 + 224 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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