LMFDB - Embedded newform 570.2.bi.a.23.22

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			23.22
Character	$\chi$	$=$	570.23
Dual form			570.2.bi.a.347.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.422618 + 0.906308i) q^{2} +(-1.65511 + 0.510515i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(2.18537 - 0.473461i) q^{5} +(-1.16216 - 1.28428i) q^{6} +(0.689273 + 2.57240i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(2.47875 - 1.68991i) q^{9} +O(q^{10})$	\(q+(0.422618 + 0.906308i) q^{2} +(-1.65511 + 0.510515i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(2.18537 - 0.473461i) q^{5} +(-1.16216 - 1.28428i) q^{6} +(0.689273 + 2.57240i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(2.47875 - 1.68991i) q^{9} +(1.35268 + 1.78052i) q^{10} +(1.23954 - 0.715650i) q^{11} +(0.672804 - 1.59604i) q^{12} +(1.91229 - 1.33900i) q^{13} +(-2.04009 + 1.71184i) q^{14} +(-3.37531 + 1.89929i) q^{15} +(-0.173648 - 0.984808i) q^{16} +(2.73761 + 5.87083i) q^{17} +(2.57915 + 1.53232i) q^{18} +(-4.35261 + 0.234075i) q^{19} +(-1.04204 + 1.97842i) q^{20} +(-2.45407 - 3.90571i) q^{21} +(1.17245 + 0.820960i) q^{22} +(5.00180 - 0.437601i) q^{23} +(1.73084 - 0.0647472i) q^{24} +(4.55167 - 2.06937i) q^{25} +(2.02172 + 1.16724i) q^{26} +(-3.23986 + 4.06242i) q^{27} +(-2.41363 - 1.12549i) q^{28} +(-5.61936 + 2.04528i) q^{29} +(-3.14781 - 2.25639i) q^{30} +(-4.43205 + 7.67653i) q^{31} +(0.819152 - 0.573576i) q^{32} +(-1.68622 + 1.81728i) q^{33} +(-4.16381 + 4.96224i) q^{34} +(2.72425 + 5.29530i) q^{35} +(-0.298760 + 2.98509i) q^{36} +(-0.456789 + 0.456789i) q^{37} +(-2.05164 - 3.84588i) q^{38} +(-2.48147 + 3.19245i) q^{39} +(-2.23344 - 0.108287i) q^{40} +(1.84939 - 0.326097i) q^{41} +(2.50264 - 3.87477i) q^{42} +(-7.64327 - 0.668700i) q^{43} +(-0.248543 + 1.40955i) q^{44} +(4.61687 - 4.86667i) q^{45} +(2.51046 + 4.34824i) q^{46} +(4.44437 + 2.07244i) q^{47} +(0.790166 + 1.54131i) q^{48} +(-0.0799747 + 0.0461734i) q^{49} +(3.79911 + 3.25066i) q^{50} +(-7.52819 - 8.31925i) q^{51} +(-0.203463 + 2.32560i) q^{52} +(6.42573 - 0.562178i) q^{53} +(-5.05103 - 1.21946i) q^{54} +(2.37002 - 2.15083i) q^{55} -2.66315i q^{56} +(7.08453 - 2.60949i) q^{57} +(-4.22850 - 4.22850i) q^{58} +(2.68128 + 0.975905i) q^{59} +(0.714663 - 3.80648i) q^{60} +(-1.15638 - 0.970321i) q^{61} +(-8.83036 - 0.772557i) q^{62} +(6.05567 + 5.21152i) q^{63} +(0.866025 + 0.500000i) q^{64} +(3.54510 - 3.83161i) q^{65} +(-2.35964 - 0.760220i) q^{66} +(-2.84828 + 6.10816i) q^{67} +(-6.25702 - 1.67656i) q^{68} +(-8.05511 + 3.27777i) q^{69} +(-3.64786 + 4.70690i) q^{70} +(-7.59787 - 9.05479i) q^{71} +(-2.83167 + 0.990784i) q^{72} +(-2.62948 + 3.75529i) q^{73} +(-0.607038 - 0.220944i) q^{74} +(-6.47705 + 5.74873i) q^{75} +(2.61849 - 3.48475i) q^{76} +(2.69532 + 2.69532i) q^{77} +(-3.94205 - 0.899787i) q^{78} +(9.58093 - 1.68938i) q^{79} +(-0.845753 - 2.06995i) q^{80} +(3.28838 - 8.37774i) q^{81} +(1.07713 + 1.53830i) q^{82} +(-2.37285 - 8.85561i) q^{83} +(4.56939 + 0.630616i) q^{84} +(8.76230 + 11.5338i) q^{85} +(-2.62414 - 7.20976i) q^{86} +(8.25648 - 6.25392i) q^{87} +(-1.38253 + 0.370448i) q^{88} +(2.49515 - 14.1507i) q^{89} +(6.36188 + 2.12756i) q^{90} +(4.76255 + 3.99625i) q^{91} +(-2.87988 + 4.11289i) q^{92} +(3.41652 - 14.9681i) q^{93} +4.90382i q^{94} +(-9.40123 + 2.57233i) q^{95} +(-1.06296 + 1.36752i) q^{96} +(9.66608 - 4.50737i) q^{97} +(-0.0756461 - 0.0529680i) q^{98} +(1.86313 - 3.86863i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{1}{9}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.422618	+	0.906308i	0.298836	+	0.640856i
$2$	0.422618	+	0.906308i	0.298836	+	0.640856i
$3$	−1.65511	+	0.510515i	−0.955576	+	0.294746i
$3$	−1.65511	+	0.510515i	−0.955576	+	0.294746i
$4$	−0.642788	+	0.766044i	−0.321394	+	0.383022i
$5$	2.18537	−	0.473461i	0.977326	−	0.211738i
$5$	2.18537	−	0.473461i	0.977326	−	0.211738i
$6$	−1.16216	−	1.28428i	−0.474451	−	0.524306i
$7$	0.689273	+	2.57240i	0.260521	+	0.972276i	0.964935	+	0.262488i	$0.0845429\pi$
$7$	0.689273	+	2.57240i	0.260521	+	0.972276i	−0.704415	+	0.709789i	$0.748790\pi$
$8$	−0.965926	−	0.258819i	−0.341506	−	0.0915064i
$9$	2.47875	−	1.68991i	0.826249	−	0.563305i
$10$	1.35268	+	1.78052i	0.427754	+	0.563051i
$11$	1.23954	−	0.715650i	0.373736	−	0.215776i	−0.301353	−	0.953513i	$-0.597438\pi$
$11$	1.23954	−	0.715650i	0.373736	−	0.215776i	0.675089	+	0.737736i	$0.264105\pi$
$12$	0.672804	−	1.59604i	0.194222	−	0.460736i
$13$	1.91229	−	1.33900i	0.530375	−	0.371373i	−0.277501	−	0.960725i	$-0.589506\pi$
$13$	1.91229	−	1.33900i	0.530375	−	0.371373i	0.807876	+	0.589353i	$0.200617\pi$
$14$	−2.04009	+	1.71184i	−0.545237	+	0.457508i
$15$	−3.37531	+	1.89929i	−0.871500	+	0.490395i
$16$	−0.173648	−	0.984808i	−0.0434120	−	0.246202i
$17$	2.73761	+	5.87083i	0.663968	+	1.42389i	0.892815	+	0.450423i	$0.148727\pi$
$17$	2.73761	+	5.87083i	0.663968	+	1.42389i	−0.228847	+	0.973462i	$0.573496\pi$
$18$	2.57915	+	1.53232i	0.607911	+	0.361171i
$19$	−4.35261	+	0.234075i	−0.998557	+	0.0537005i
$19$	−4.35261	+	0.234075i	−0.998557	+	0.0537005i
$20$	−1.04204	+	1.97842i	−0.233006	+	0.442389i
$21$	−2.45407	−	3.90571i	−0.535522	−	0.852296i
$22$	1.17245	+	0.820960i	0.249968	+	0.175029i
$23$	5.00180	−	0.437601i	1.04295	−	0.0912462i	0.447213	−	0.894427i	$-0.352416\pi$
$23$	5.00180	−	0.437601i	1.04295	−	0.0912462i	0.595735	+	0.803181i	$0.296861\pi$
$24$	1.73084	−	0.0647472i	0.353306	−	0.0132165i
$25$	4.55167	−	2.06937i	0.910334	−	0.413874i
$26$	2.02172	+	1.16724i	0.396492	+	0.228915i
$27$	−3.23986	+	4.06242i	−0.623512	+	0.781814i
$28$	−2.41363	−	1.12549i	−0.456133	−	0.212698i
$29$	−5.61936	+	2.04528i	−1.04349	+	0.379799i	−0.806202	−	0.591641i	$-0.798480\pi$
$29$	−5.61936	+	2.04528i	−1.04349	+	0.379799i	−0.237287	+	0.971440i	$0.576258\pi$
$30$	−3.14781	−	2.25639i	−0.574709	−	0.411959i
$31$	−4.43205	+	7.67653i	−0.796019	+	1.37875i	0.126171	+	0.992009i	$0.459731\pi$
$31$	−4.43205	+	7.67653i	−0.796019	+	1.37875i	−0.922190	+	0.386737i	$0.873602\pi$
$32$	0.819152	−	0.573576i	0.144807	−	0.101395i
$33$	−1.68622	+	1.81728i	−0.293534	+	0.316348i
$34$	−4.16381	+	4.96224i	−0.714088	+	0.851017i
$35$	2.72425	+	5.29530i	0.460482	+	0.895069i
$36$	−0.298760	+	2.98509i	−0.0497933	+	0.497514i
$37$	−0.456789	+	0.456789i	−0.0750956	+	0.0750956i	−0.743657	−	0.668561i	$-0.766910\pi$
$37$	−0.456789	+	0.456789i	−0.0750956	+	0.0750956i	0.668561	+	0.743657i	$0.266910\pi$
$38$	−2.05164	−	3.84588i	−0.332819	−	0.623884i
$39$	−2.48147	+	3.19245i	−0.397353	+	0.511201i
$40$	−2.23344	−	0.108287i	−0.353139	−	0.0171217i
$41$	1.84939	−	0.326097i	0.288826	−	0.0509279i	−0.0273579	−	0.999626i	$-0.508709\pi$
$41$	1.84939	−	0.326097i	0.288826	−	0.0509279i	0.316184	+	0.948698i	$0.397598\pi$
$42$	2.50264	−	3.87477i	0.386166	−	0.597890i
$43$	−7.64327	−	0.668700i	−1.16559	−	0.101976i	−0.512109	−	0.858920i	$-0.671136\pi$
$43$	−7.64327	−	0.668700i	−1.16559	−	0.101976i	−0.653479	+	0.756945i	$0.726691\pi$
$44$	−0.248543	+	1.40955i	−0.0374692	+	0.212498i
$45$	4.61687	−	4.86667i	0.688242	−	0.725481i
$46$	2.51046	+	4.34824i	0.370146	+	0.641112i
$47$	4.44437	+	2.07244i	0.648278	+	0.302297i	0.718804	−	0.695213i	$-0.244690\pi$
$47$	4.44437	+	2.07244i	0.648278	+	0.302297i	−0.0705257	+	0.997510i	$0.522468\pi$
$48$	0.790166	+	1.54131i	0.114051	+	0.222469i
$49$	−0.0799747	+	0.0461734i	−0.0114250	+	0.00659620i
$50$	3.79911	+	3.25066i	0.537275	+	0.459713i
$51$	−7.52819	−	8.31925i	−1.05416	−	1.16493i
$52$	−0.203463	+	2.32560i	−0.0282153	+	0.322502i
$53$	6.42573	−	0.562178i	0.882642	−	0.0772211i	0.363184	−	0.931717i	$-0.381690\pi$
$53$	6.42573	−	0.562178i	0.882642	−	0.0772211i	0.519457	+	0.854496i	$0.326134\pi$
$54$	−5.05103	−	1.21946i	−0.687358	−	0.165947i
$55$	2.37002	−	2.15083i	0.319574	−	0.290018i
$56$		−	2.66315i		−	0.355878i
$57$	7.08453	−	2.60949i	0.938369	−	0.345636i
$58$	−4.22850	−	4.22850i	−0.555229	−	0.555229i
$59$	2.68128	+	0.975905i	0.349073	+	0.127052i	0.510605	−	0.859815i	$-0.329421\pi$
$59$	2.68128	+	0.975905i	0.349073	+	0.127052i	−0.161532	+	0.986867i	$0.551644\pi$
$60$	0.714663	−	3.80648i	0.0922626	−	0.491414i
$61$	−1.15638	−	0.970321i	−0.148060	−	0.124237i	0.565749	−	0.824577i	$-0.308587\pi$
$61$	−1.15638	−	0.970321i	−0.148060	−	0.124237i	−0.713809	+	0.700341i	$0.753031\pi$
$62$	−8.83036	−	0.772557i	−1.12146	−	0.0981148i
$63$	6.05567	+	5.21152i	0.762943	+	0.656590i
$64$	0.866025	+	0.500000i	0.108253	+	0.0625000i
$65$	3.54510	−	3.83161i	0.439716	−	0.475253i
$66$	−2.35964	−	0.760220i	−0.290452	−	0.0935766i
$67$	−2.84828	+	6.10816i	−0.347973	+	0.746230i	−0.999928	−	0.0120277i	$-0.996171\pi$
$67$	−2.84828	+	6.10816i	−0.347973	+	0.746230i	0.651955	+	0.758258i	$0.273949\pi$
$68$	−6.25702	−	1.67656i	−0.758775	−	0.203313i
$69$	−8.05511	+	3.27777i	−0.969722	+	0.394598i
$70$	−3.64786	+	4.70690i	−0.436002	+	0.562582i
$71$	−7.59787	−	9.05479i	−0.901702	−	1.07461i	−0.996863	−	0.0791443i	$-0.974781\pi$
$71$	−7.59787	−	9.05479i	−0.901702	−	1.07461i	0.0951616	−	0.995462i	$-0.469663\pi$
$72$	−2.83167	+	0.990784i	−0.333715	+	0.116765i
$73$	−2.62948	+	3.75529i	−0.307757	+	0.439523i	−0.943002	−	0.332788i	$-0.892011\pi$
$73$	−2.62948	+	3.75529i	−0.307757	+	0.439523i	0.635244	+	0.772311i	$0.280899\pi$
$74$	−0.607038	−	0.220944i	−0.0705668	−	0.0256842i
$75$	−6.47705	+	5.74873i	−0.747905	+	0.663806i
$76$	2.61849	−	3.48475i	0.300362	−	0.399729i
$77$	2.69532	+	2.69532i	0.307160	+	0.307160i
$78$	−3.94205	−	0.899787i	−0.446350	−	0.101881i
$79$	9.58093	−	1.68938i	1.07794	−	0.190070i	0.393635	−	0.919267i	$-0.371217\pi$
$79$	9.58093	−	1.68938i	1.07794	−	0.190070i	0.684304	+	0.729197i	$0.260106\pi$
$80$	−0.845753	−	2.06995i	−0.0945580	−	0.231428i
$81$	3.28838	−	8.37774i	0.365376	−	0.930860i
$82$	1.07713	+	1.53830i	0.118949	+	0.169877i
$83$	−2.37285	−	8.85561i	−0.260455	−	0.972030i	−0.964974	−	0.262345i	$-0.915504\pi$
$83$	−2.37285	−	8.85561i	−0.260455	−	0.972030i	0.704519	−	0.709685i	$-0.251163\pi$
$84$	4.56939	+	0.630616i	0.498562	+	0.0688059i
$85$	8.76230	+	11.5338i	0.950405	+	1.25101i
$86$	−2.62414	−	7.20976i	−0.282968	−	0.777449i
$87$	8.25648	−	6.25392i	0.885188	−	0.670491i
$88$	−1.38253	+	0.370448i	−0.147378	+	0.0394898i
$89$	2.49515	−	14.1507i	0.264485	−	1.49997i	−0.506011	−	0.862527i	$-0.668880\pi$
$89$	2.49515	−	14.1507i	0.264485	−	1.49997i	0.770496	−	0.637445i	$-0.220009\pi$
$90$	6.36188	+	2.12756i	0.670601	+	0.224265i
$91$	4.76255	+	3.99625i	0.499250	+	0.418921i
$92$	−2.87988	+	4.11289i	−0.300248	+	0.428798i
$93$	3.41652	−	14.9681i	0.354276	−	1.55212i
$94$			4.90382i			0.505791i
$95$	−9.40123	+	2.57233i	−0.964546	+	0.263915i
$96$	−1.06296	+	1.36752i	−0.108488	+	0.139572i
$97$	9.66608	−	4.50737i	0.981442	−	0.457654i	0.135412	−	0.990789i	$-0.456764\pi$
$97$	9.66608	−	4.50737i	0.981442	−	0.457654i	0.846030	+	0.533135i	$0.178986\pi$
$98$	−0.0756461	−	0.0529680i	−0.00764141	−	0.00535057i
$99$	1.86313	−	3.86863i	0.187251	−	0.388812i
$100$	−1.34053	+	4.81695i	−0.134053	+	0.481695i
$101$	3.61219	+	0.636927i	0.359427	+	0.0633766i	0.350446	−	0.936583i	$-0.386030\pi$
$101$	3.61219	+	0.636927i	0.359427	+	0.0633766i	0.00898103	+	0.999960i	$0.497141\pi$
$102$	4.35825	−	10.3387i	0.431531	−	1.02369i
$103$	1.57418	−	5.87492i	0.155109	−	0.578873i	−0.843987	−	0.536363i	$-0.819798\pi$
$103$	1.57418	−	5.87492i	0.155109	−	0.578873i	0.999096	−	0.0425104i	$-0.0135356\pi$
$104$	−2.19369	+	0.798439i	−0.215109	+	0.0782934i
$105$	−7.21225	−	7.37351i	−0.703843	−	0.719581i
$106$	3.22514	+	5.58610i	0.313253	+	0.542570i
$107$	19.3405	−	5.18226i	1.86971	−	0.500988i	0.869741	−	0.493509i	$-0.164286\pi$
$107$	19.3405	−	5.18226i	1.86971	−	0.500988i	0.999972	−	0.00747918i	$-0.00238072\pi$
$108$	−1.02945	−	5.09315i	−0.0990593	−	0.490089i
$109$	−8.11272	−	9.66836i	−0.777058	−	0.926061i	0.221739	−	0.975106i	$-0.428827\pi$
$109$	−8.11272	−	9.66836i	−0.777058	−	0.926061i	−0.998797	+	0.0490447i	$0.984382\pi$
$110$	2.95093	+	1.23899i	0.281360	+	0.118133i
$111$	0.522836	−	0.989231i	0.0496254	−	0.0938937i
$112$	2.41363	−	1.12549i	0.228067	−	0.106349i
$113$	−5.12486	+	5.12486i	−0.482106	+	0.482106i	−0.905804	−	0.423698i	$-0.860732\pi$
$113$	−5.12486	+	5.12486i	−0.482106	+	0.482106i	0.423698	+	0.905804i	$0.360732\pi$
$114$	5.35905	+	5.31794i	0.501921	+	0.498071i
$115$	10.7236	−	3.32448i	0.999981	−	0.310009i
$116$	2.04528	−	5.61936i	0.189899	−	0.521744i
$117$	2.47730	−	6.55066i	0.229026	−	0.605609i
$118$	0.248686	+	2.84250i	0.0228934	+	0.261673i
$119$	−13.2152	+	11.0888i	−1.21143	+	1.01651i
$120$	3.75187	−	0.960981i	0.342497	−	0.0877252i
$121$	−4.47569	+	7.75212i	−0.406881	+	0.704739i
$122$	0.390701	−	1.45811i	0.0353724	−	0.132011i
$123$	−2.89446	+	1.48387i	−0.260985	+	0.133796i
$124$	−3.03170	−	8.32952i	−0.272255	−	0.748013i
$125$	8.96731	−	6.67738i	0.802061	−	0.597243i
$126$	−2.16401	+	7.69079i	−0.192785	+	0.685150i
$127$	−1.62876	−	2.32611i	−0.144529	−	0.206409i	0.740360	−	0.672211i	$-0.234655\pi$
$127$	−1.62876	−	2.32611i	−0.144529	−	0.206409i	−0.884889	+	0.465801i	$0.845766\pi$
$128$	−0.0871557	+	0.996195i	−0.00770355	+	0.0880520i
$129$	12.9918	−	2.79524i	1.14386	−	0.246107i
$130$	4.97084	+	1.59365i	0.435972	+	0.139772i
$131$	−0.940133	+	2.58299i	−0.0821398	+	0.225677i	−0.973963	−	0.226707i	$-0.927204\pi$
$131$	−0.940133	+	2.58299i	−0.0821398	+	0.225677i	0.891823	+	0.452384i	$0.149426\pi$
$132$	−0.308235	−	2.45985i	−0.0268284	−	0.214102i
$133$	−3.60227	−	11.0353i	−0.312356	−	0.956883i
$134$	−6.73960			−0.582213
$135$	−5.15690	+	10.4118i	−0.443835	+	0.896109i
$136$	−1.12485	−	6.37933i	−0.0964549	−	0.547023i
$137$	−1.06720	−	12.1982i	−0.0911774	−	1.04216i	−0.894634	−	0.446799i	$-0.852564\pi$
$137$	−1.06720	−	12.1982i	−0.0911774	−	1.04216i	0.803457	−	0.595363i	$-0.202992\pi$
$138$	−6.37491	−	5.91516i	−0.542668	−	0.503532i
$139$	19.4978	+	3.43799i	1.65378	+	0.291607i	0.921205	−	0.389077i	$-0.127206\pi$
$139$	19.4978	+	3.43799i	1.65378	+	0.291607i	0.732578	+	0.680683i	$0.238317\pi$
$140$	−5.80755	−	1.31686i	−0.490827	−	0.111295i
$141$	−8.41392	−	1.16119i	−0.708580	−	0.0977902i
$142$	4.99543	−	10.7127i	0.419207	−	0.898992i
$143$	1.41211	−	3.02828i	0.118087	−	0.253238i
$144$	−2.09467	−	2.14764i	−0.174556	−	0.178970i
$145$	−11.3120	+	7.13023i	−0.939411	+	0.592134i
$146$	−4.51471	−	0.796066i	−0.373640	−	0.0658829i
$147$	0.108794	−	0.117250i	0.00897320	−	0.00967063i
$148$	−0.0563023	−	0.643539i	−0.00462802	−	0.0528985i
$149$	−1.12024	−	6.35321i	−0.0917739	−	0.520475i	−0.995688	−	0.0927621i	$-0.970430\pi$
$149$	−1.12024	−	6.35321i	−0.0917739	−	0.520475i	0.903914	−	0.427713i	$-0.140681\pi$
$150$	−7.94743	−	3.44068i	−0.648905	−	0.280931i
$151$	2.17090			0.176666			0.0883328	−	0.996091i	$-0.471846\pi$
$151$	2.17090			0.176666			0.0883328	+	0.996091i	$0.471846\pi$
$152$	4.26488	+	0.900439i	0.345928	+	0.0730353i
$153$	16.7070	+	9.92598i	1.35068	+	0.802468i
$154$	−1.30370	+	3.58188i	−0.105055	+	0.288636i
$155$	−6.05112	+	18.8744i	−0.486038	+	1.51603i
$156$	−0.850500	−	3.95298i	−0.0680945	−	0.316492i
$157$	1.61268	−	18.4330i	0.128706	−	1.47111i	−0.607481	−	0.794334i	$-0.707820\pi$
$157$	1.61268	−	18.4330i	0.128706	−	1.47111i	0.736187	−	0.676778i	$-0.236625\pi$
$158$	5.58017	+	7.96931i	0.443935	+	0.634004i
$159$	−10.3483	+	4.21090i	−0.820670	+	0.333946i
$160$	1.51858	−	1.64131i	0.120055	−	0.129757i
$161$	4.57329	+	12.5650i	0.360426	+	0.990263i
$162$	8.98254	−	0.560298i	0.705735	−	0.0440212i
$163$	−4.92335	+	18.3742i	−0.385626	+	1.43918i	0.451551	+	0.892245i	$0.350871\pi$
$163$	−4.92335	+	18.3742i	−0.385626	+	1.43918i	−0.837177	+	0.546931i	$0.815796\pi$
$164$	−0.938960	+	1.62633i	−0.0733205	+	0.126995i
$165$	−2.82461	+	4.76979i	−0.219895	+	0.371327i
$166$	7.02310	−	5.89308i	0.545098	−	0.457392i
$167$	1.57627	+	18.0168i	0.121975	+	1.39418i	0.772653	+	0.634829i	$0.218929\pi$
$167$	1.57627	+	18.0168i	0.121975	+	1.39418i	−0.650678	+	0.759354i	$0.725515\pi$
$168$	1.35958	+	4.40779i	0.104894	+	0.340068i
$169$	−2.58232	+	7.09487i	−0.198640	+	0.545759i
$170$	−6.75004	+	12.8157i	−0.517704	+	0.982921i
$171$	−10.3935	+	7.93575i	−0.794807	+	0.606862i
$172$	5.42526	−	5.42526i	0.413672	−	0.413672i
$173$	−8.18761	+	3.81794i	−0.622492	+	0.290273i	−0.708161	−	0.706051i	$-0.750475\pi$
$173$	−8.18761	+	3.81794i	−0.622492	+	0.290273i	0.0856690	+	0.996324i	$0.472697\pi$
$174$	9.15732	+	4.83989i	0.694215	+	0.366911i
$175$	8.46060	+	10.2824i	0.639561	+	0.777273i
$176$	−0.920021	−	1.09644i	−0.0693492	−	0.0826472i
$177$	−4.93601	−	0.246393i	−0.371013	−	0.0185200i
$178$	13.8794	−	3.71897i	1.04030	−	0.278749i
$179$	−11.8086	−	20.4531i	−0.882617	−	1.52874i	−0.848420	−	0.529323i	$-0.822446\pi$
$179$	−11.8086	−	20.4531i	−0.882617	−	1.52874i	−0.0341970	−	0.999415i	$-0.510887\pi$
$180$	0.760421	+	6.66497i	0.0566784	+	0.496777i
$181$	−18.6295	+	6.78057i	−1.38472	+	0.503996i	−0.923605	−	0.383346i	$-0.874772\pi$
$181$	−18.6295	+	6.78057i	−1.38472	+	0.503996i	−0.461112	+	0.887342i	$0.652550\pi$
$182$	−1.60909	+	6.00522i	−0.119274	+	0.445137i
$183$	2.40930	+	1.01563i	0.178101	+	0.0750777i
$184$	−4.94463	−	0.871872i	−0.364523	−	0.0642753i
$185$	−0.781980	+	1.21452i	−0.0574923	+	0.0892935i
$186$	15.0096	−	3.22937i	1.10056	−	0.236789i
$187$	7.59484	+	5.31796i	0.555390	+	0.388888i
$188$	−4.44437	+	2.07244i	−0.324139	+	0.151149i
$189$	−12.6833	−	5.53411i	−0.922577	−	0.402547i
$190$	−6.30445	−	7.43329i	−0.457373	−	0.539268i
$191$		−	16.4975i		−	1.19372i	−0.802345	−	0.596860i	$-0.796415\pi$
$191$		−	16.4975i		−	1.19372i	0.802345	−	0.596860i	$-0.203585\pi$
$192$	−1.68862	−	0.385433i	−0.121866	−	0.0278163i
$193$	0.730316	−	1.04300i	0.0525693	−	0.0750767i	−0.792007	−	0.610512i	$-0.790964\pi$
$193$	0.730316	−	1.04300i	0.0525693	−	0.0750767i	0.844576	+	0.535436i	$0.179853\pi$
$194$	8.17013	+	6.85555i	0.586581	+	0.492200i
$195$	−3.91142	+	8.15155i	−0.280103	+	0.583745i
$196$	0.0160359	−	0.0909439i	0.00114542	−	0.00649599i
$197$	−3.37516	+	0.904371i	−0.240470	+	0.0644337i	−0.377041	−	0.926197i	$-0.623058\pi$
$197$	−3.37516	+	0.904371i	−0.240470	+	0.0644337i	0.136571	+	0.990630i	$0.456392\pi$
$198$	4.29356	+	0.0536097i	0.305130	+	0.00380988i
$199$	−4.06087	−	11.1571i	−0.287867	−	0.790909i	−0.996364	−	0.0851953i	$-0.972849\pi$
$199$	−4.06087	−	11.1571i	−0.287867	−	0.790909i	0.708497	−	0.705714i	$-0.249374\pi$
$200$	−4.93217	+	0.820801i	−0.348757	+	0.0580394i
$201$	1.59590	−	11.5637i	0.112566	−	0.815643i
$202$	0.949327	+	3.54294i	0.0667944	+	0.249280i
$203$	−9.13455	−	13.0455i	−0.641120	−	0.915614i
$204$	11.2119	−	0.419416i	0.784993	−	0.0293650i
$205$	3.88720	−	1.58826i	0.271494	−	0.110929i
$206$	5.98977	−	1.05616i	0.417327	−	0.0735860i
$207$	11.6587	−	9.53732i	0.810336	−	0.662890i
$208$	−1.65073	−	1.65073i	−0.114457	−	0.114457i
$209$	−5.22772	+	3.40509i	−0.361609	+	0.235535i
$210$	3.63464	−	9.65270i	0.250814	−	0.666099i
$211$	−20.2434	−	7.36800i	−1.39361	−	0.507234i	−0.467338	−	0.884079i	$-0.654787\pi$
$211$	−20.2434	−	7.36800i	−1.39361	−	0.507234i	−0.926277	+	0.376845i	$0.877009\pi$
$212$	−3.69972	+	5.28375i	−0.254098	+	0.362890i
$213$	17.1979	+	11.1078i	1.17838	+	0.761094i
$214$	12.8704	+	15.3383i	0.879799	+	1.04850i
$215$	−17.0200	+	2.15743i	−1.16075	+	0.147136i
$216$	4.18090	−	3.08546i	0.284474	−	0.209939i
$217$	−22.8020	−	6.10978i	−1.54790	−	0.414759i
$218$	5.33393	−	11.4387i	0.361259	−	0.774723i
$219$	2.43494	−	7.55779i	0.164538	−	0.510708i
$220$	0.124212	+	3.19807i	0.00837434	+	0.215614i
$221$	13.0962	+	7.56108i	0.880944	+	0.508613i
$222$	1.11751	+	0.0557830i	0.0750022	+	0.00374391i
$223$	0.599035	+	0.0524088i	0.0401144	+	0.00350955i	0.107195	−	0.994238i	$-0.465813\pi$
$223$	0.599035	+	0.0524088i	0.0401144	+	0.00350955i	−0.0670809	+	0.997748i	$0.521369\pi$
$224$	2.04009	+	1.71184i	0.136309	+	0.114377i
$225$	7.78538	−	12.8214i	0.519026	−	0.854759i
$226$	−6.81056	−	2.47884i	−0.453031	−	0.164890i
$227$	9.22859	+	9.22859i	0.612523	+	0.612523i	0.943603	−	0.331080i	$-0.107413\pi$
$227$	9.22859	+	9.22859i	0.612523	+	0.612523i	−0.331080	+	0.943603i	$0.607413\pi$
$228$	−2.55486	+	7.10441i	−0.169200	+	0.470501i
$229$			15.3077i			1.01156i	0.862662	+	0.505780i	$0.168795\pi$
$229$			15.3077i			1.01156i	−0.862662	+	0.505780i	$0.831205\pi$
$230$	7.54499	+	8.31390i	0.497502	+	0.548202i
$231$	−5.83704	−	3.08504i	−0.384049	−	0.202981i
$232$	5.95724	−	0.521191i	0.391112	−	0.0342179i
$233$	−0.311601	+	3.56162i	−0.0204137	+	0.233329i	0.979133	+	0.203221i	$0.0651409\pi$
$233$	−0.311601	+	3.56162i	−0.0204137	+	0.233329i	−0.999547	+	0.0301087i	$0.990415\pi$
$234$	6.98387	−	0.523237i	0.456550	−	0.0342050i
$235$	10.6938	+	2.42482i	0.697587	+	0.158178i
$236$	−2.47108	+	1.42668i	−0.160854	+	0.0928688i
$237$	−14.9950	+	7.68731i	−0.974030	+	0.499344i
$238$	−15.6349	−	7.29066i	−1.01346	−	0.472583i
$239$	1.25924	+	2.18107i	0.0814537	+	0.141082i	0.903875	−	0.427798i	$-0.140710\pi$
$239$	1.25924	+	2.18107i	0.0814537	+	0.141082i	−0.822421	+	0.568880i	$0.807377\pi$
$240$	2.45655	+	2.99422i	0.158570	+	0.193276i
$241$	0.358123	−	2.03101i	0.0230687	−	0.130829i	−0.971098	−	0.238679i	$-0.923286\pi$
$241$	0.358123	−	2.03101i	0.0230687	−	0.130829i	0.994167	+	0.107850i	$0.0343967\pi$
$242$	−8.91732	−	0.780164i	−0.573227	−	0.0501509i
$243$	−1.16566	+	15.5448i	−0.0747769	+	0.997200i
$244$	1.48662	−	0.262131i	0.0951709	−	0.0167812i
$245$	−0.152913	+	0.138771i	−0.00976924	+	0.00886574i
$246$	−2.56809	−	1.99616i	−0.163736	−	0.127271i
$247$	−8.01004	+	6.27578i	−0.509667	+	0.399318i
$248$	6.26786	−	6.26786i	0.398010	−	0.398010i
$249$	8.44825	+	13.4456i	0.535386	+	0.852080i
$250$	9.84151	+	5.30516i	0.622432	+	0.335528i
$251$	17.5326	−	20.8945i	1.10665	−	1.31885i	0.163473	−	0.986548i	$-0.447730\pi$
$251$	17.5326	−	20.8945i	1.10665	−	1.31885i	0.943173	−	0.332302i	$-0.107825\pi$
$252$	−7.88477	+	1.28901i	−0.496694	+	0.0812000i
$253$	5.88678	−	4.12196i	0.370098	−	0.259146i
$254$	1.41983	−	2.45922i	0.0890881	−	0.154305i
$255$	−20.3907	−	14.6163i	−1.27691	−	0.915309i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	8.47200	+	3.95056i	0.528469	+	0.246429i	0.668492	−	0.743719i	$-0.266940\pi$
$257$	8.47200	+	3.95056i	0.528469	+	0.246429i	−0.140023	+	0.990148i	$0.544718\pi$
$258$	8.02392	+	10.5933i	0.499548	+	0.659507i
$259$	−1.48990	−	0.860192i	−0.0925776	−	0.0534497i
$260$	0.656436	+	5.17862i	0.0407104	+	0.321164i
$261$	−10.4726	+	14.5660i	−0.648239	+	0.901610i
$262$	−2.73830	+	0.239571i	−0.169173	+	0.0148007i
$263$	−16.9217	−	11.8487i	−1.04343	−	0.730621i	−0.0795205	−	0.996833i	$-0.525339\pi$
$263$	−16.9217	−	11.8487i	−1.04343	−	0.730621i	−0.963914	+	0.266212i	$0.914228\pi$
$264$	2.09911	−	1.31893i	0.129191	−	0.0811747i
$265$	13.7764	−	4.27090i	0.846278	−	0.262359i
$266$	8.47901	−	7.92849i	0.519881	−	0.486127i
$267$	3.09441	+	24.6947i	0.189375	+	1.51129i
$268$	−2.84828	−	6.10816i	−0.173986	−	0.373115i
$269$	−4.54278	−	25.7634i	−0.276978	−	1.57082i	−0.732607	−	0.680651i	$-0.761697\pi$
$269$	−4.54278	−	25.7634i	−0.276978	−	1.57082i	0.455629	−	0.890170i	$-0.349414\pi$
$270$	−11.6157	−	0.273500i	−0.706911	−	0.0166447i
$271$	6.04281	−	5.07052i	0.367075	−	0.308012i	−0.440528	−	0.897739i	$-0.645209\pi$
$271$	6.04281	−	5.07052i	0.367075	−	0.308012i	0.807603	+	0.589726i	$0.200764\pi$
$272$	5.30626	−	3.71548i	0.321739	−	0.225284i
$273$	−9.92266	−	4.18286i	−0.600547	−	0.253158i
$274$	10.6043	−	6.12240i	0.640629	−	0.369867i
$275$	4.16104	−	5.82247i	0.250920	−	0.351108i
$276$	2.66681	−	8.27749i	0.160523	−	0.498246i
$277$	−27.5473	−	7.38129i	−1.65516	−	0.443499i	−0.694108	−	0.719871i	$-0.744201\pi$
$277$	−27.5473	−	7.38129i	−1.65516	−	0.443499i	−0.961051	+	0.276372i	$0.910868\pi$
$278$	5.12426	+	19.1240i	0.307332	+	1.14698i
$279$	1.98675	+	26.5180i	0.118943	+	1.58759i
$280$	−1.26089	−	5.81996i	−0.0753529	−	0.347809i
$281$	1.41544	−	1.68686i	0.0844381	−	0.100629i	−0.722171	−	0.691714i	$-0.756856\pi$
$281$	1.41544	−	1.68686i	0.0844381	−	0.100629i	0.806609	+	0.591085i	$0.201300\pi$
$282$	−2.50348	−	8.11634i	−0.149080	−	0.483321i
$283$	−10.4918	−	22.4997i	−0.623672	−	1.33747i	−0.923545	−	0.383489i	$-0.874722\pi$
$283$	−10.4918	−	22.4997i	−0.623672	−	1.33747i	0.299874	−	0.953979i	$-0.403056\pi$
$284$	11.8202			0.701399
$285$	14.2468	−	9.05695i	0.843908	−	0.536487i
$286$	3.34134			0.197578
$287$	2.11359	+	4.53260i	0.124761	+	0.267551i
$288$	1.06118	−	2.80605i	0.0625304	−	0.165348i
$289$	−16.0447	+	19.1213i	−0.943807	+	1.12479i
$290$	−11.2428	−	7.23880i	−0.660203	−	0.425077i
$291$	−13.6973	+	12.3949i	−0.802950	+	0.726599i
$292$	−1.18652	−	4.42815i	−0.0694358	−	0.259138i
$293$	8.33712	+	2.23392i	0.487060	+	0.130507i	0.493988	−	0.869469i	$-0.335539\pi$
$293$	8.33712	+	2.23392i	0.487060	+	0.130507i	−0.00692834	+	0.999976i	$0.502205\pi$
$294$	0.152243	+	0.0490491i	0.00887900	+	0.00286060i
$295$	6.32163	+	0.863233i	0.368060	+	0.0502594i
$296$	0.559450	−	0.322998i	0.0325174	−	0.0187739i
$297$	−1.10867	+	7.35415i	−0.0643317	+	0.426731i
$298$	5.28453	−	3.70027i	0.306125	−	0.214351i
$299$	8.97897	−	7.53425i	0.519267	−	0.435717i
$300$	−0.240413	−	8.65692i	−0.0138803	−	0.499807i
$301$	−3.54814	−	20.1225i	−0.204511	−	1.15984i
$302$	0.917463	+	1.96751i	0.0527941	+	0.113217i
$303$	−6.30372	+	0.789899i	−0.362139	+	0.0453785i
$304$	0.986341	+	4.24584i	0.0565706	+	0.243515i
$305$	−2.98653	−	1.57301i	−0.171008	−	0.0900701i
$306$	−1.93529	+	19.3366i	−0.110633	+	1.10540i
$307$	−22.0961	−	15.4719i	−1.26109	−	0.883027i	−0.264410	−	0.964410i	$-0.585177\pi$
$307$	−22.0961	−	15.4719i	−1.26109	−	0.883027i	−0.996683	+	0.0813837i	$0.974066\pi$
$308$	−3.79725	+	0.332217i	−0.216369	+	0.0189298i
$309$	0.393803	+	10.5273i	0.0224027	+	0.598875i
$310$	−19.6634	+	2.49251i	−1.11680	+	0.141565i
$311$	−1.81377	−	1.04718i	−0.102850	−	0.0593803i	0.447693	−	0.894187i	$-0.352246\pi$
$311$	−1.81377	−	1.04718i	−0.102850	−	0.0593803i	−0.550543	+	0.834807i	$0.685579\pi$
$312$	3.22318	−	2.44142i	0.182477	−	0.138218i
$313$	8.80382	+	4.10529i	0.497621	+	0.232045i	0.655191	−	0.755463i	$-0.272588\pi$
$313$	8.80382	+	4.10529i	0.497621	+	0.232045i	−0.157570	+	0.987508i	$0.550366\pi$
$314$	17.3875	−	6.32854i	0.981234	−	0.357140i
$315$	15.7013	+	8.52198i	0.884669	+	0.480159i
$316$	−4.86437	+	8.42533i	−0.273642	+	0.473962i
$317$	−0.728496	+	0.510098i	−0.0409164	+	0.0286500i	−0.593856	−	0.804572i	$-0.702395\pi$
$317$	−0.728496	+	0.510098i	−0.0409164	+	0.0286500i	0.552939	+	0.833222i	$0.313506\pi$
$318$	−8.18973	−	7.59910i	−0.459257	−	0.426137i
$319$	−5.50173	+	6.55670i	−0.308037	+	0.367105i
$320$	2.12931	+	0.682655i	0.119032	+	0.0381616i
$321$	−29.3649	+	18.4508i	−1.63899	+	1.02982i
$322$	−9.45502	+	9.45502i	−0.526908	+	0.526908i
$323$	−13.2900	−	24.9126i	−0.739474	−	1.38618i
$324$	4.30399	+	7.90416i	0.239110	+	0.439120i
$325$	5.93324	−	10.0519i	0.329117	−	0.557582i
$326$	−18.7334	+	3.30320i	−1.03754	+	0.182947i
$327$	18.3633	+	11.8605i	1.01549	+	0.655887i
$328$	−1.87077	−	0.163672i	−0.103296	−	0.00903725i
$329$	−2.26777	+	12.8612i	−0.125026	+	0.709060i
$330$	−5.51663	−	0.544162i	−0.303680	−	0.0299552i
$331$	11.9670	+	20.7274i	0.657765	+	1.13928i	0.981193	+	0.193029i	$0.0618311\pi$
$331$	11.9670	+	20.7274i	0.657765	+	1.13928i	−0.323429	+	0.946253i	$0.604836\pi$
$332$	8.30904	+	3.87457i	0.456018	+	0.212644i
$333$	−0.360331	+	1.90420i	−0.0197460	+	0.104349i
$334$	−15.6626	+	9.04282i	−0.857020	+	0.494801i
$335$	−3.33257	+	14.6971i	−0.182078	+	0.802989i
$336$	−3.42023	+	3.09501i	−0.186589	+	0.168846i
$337$	−2.02347	+	23.1283i	−0.110225	+	1.25988i	0.716625	+	0.697458i	$0.245686\pi$
$337$	−2.02347	+	23.1283i	−0.110225	+	1.25988i	−0.826851	+	0.562422i	$0.809870\pi$
$338$	−7.52147	+	0.658043i	−0.409114	+	0.0357928i
$339$	5.86586	−	11.0985i	0.318590	−	0.602788i
$340$	−14.4677	−	0.701456i	−0.784620	−	0.0380418i
$341$			12.6872i			0.687049i
$342$	−11.5847	−	6.06588i	−0.626428	−	0.328005i
$343$	13.0080	+	13.0080i	0.702366	+	0.702366i
$344$	7.20976	+	2.62414i	0.388724	+	0.141484i
$345$	−16.0515	+	10.9769i	−0.864183	+	0.590978i
$346$	−6.92047	−	5.80696i	−0.372047	−	0.312184i
$347$	−4.24759	−	0.371616i	−0.228023	−	0.0199494i	−0.0274282	−	0.999624i	$-0.508732\pi$
$347$	−4.24759	−	0.371616i	−0.228023	−	0.0199494i	−0.200594	+	0.979674i	$0.564287\pi$
$348$	−0.516384	+	10.3448i	−0.0276811	+	0.554538i
$349$	22.9783	+	13.2665i	1.23000	+	0.710141i	0.967030	−	0.254662i	$-0.0819644\pi$
$349$	22.9783	+	13.2665i	1.23000	+	0.710141i	0.262971	+	0.964804i	$0.415298\pi$
$350$	−5.74338	+	12.0134i	−0.306997	+	0.642144i
$351$	−0.755973	+	12.1067i	−0.0403508	+	0.646210i
$352$	0.604893	−	1.29720i	0.0322409	−	0.0691409i
$353$	8.48448	+	2.27341i	0.451583	+	0.121001i	0.477440	−	0.878664i	$-0.341565\pi$
$353$	8.48448	+	2.27341i	0.451583	+	0.121001i	−0.0258568	+	0.999666i	$0.508231\pi$
$354$	−1.86274	−	4.57768i	−0.0990036	−	0.243301i
$355$	−20.8912	−	16.1908i	−1.10879	−	0.859316i
$356$	9.23622	+	11.0073i	0.489519	+	0.583385i
$357$	16.2115	−	25.0997i	0.858002	−	1.32842i
$358$	13.5463	−	19.3461i	0.715944	−	1.02247i
$359$	−4.59958	−	1.67411i	−0.242756	−	0.0883561i	0.217777	−	0.975999i	$-0.430120\pi$
$359$	−4.59958	−	1.67411i	−0.242756	−	0.0883561i	−0.460533	+	0.887643i	$0.652342\pi$
$360$	−5.71914	+	3.50591i	−0.301425	+	0.184778i
$361$	18.8904	−	2.03767i	0.994233	−	0.107246i
$362$	−14.0184	−	14.0184i	−0.736793	−	0.736793i
$363$	3.45016	−	15.1155i	0.181087	−	0.793358i
$364$	−6.12261	+	1.07958i	−0.320912	+	0.0565854i
$365$	−3.96840	+	9.45164i	−0.207716	+	0.494721i
$366$	0.0977392	+	2.61279i	0.00510891	+	0.136573i
$367$	−2.08435	−	2.97676i	−0.108802	−	0.155385i	0.761058	−	0.648684i	$-0.224680\pi$
$367$	−2.08435	−	2.97676i	−0.108802	−	0.155385i	−0.869860	+	0.493298i	$0.835791\pi$
$368$	−1.29951	−	4.84983i	−0.0677415	−	0.252815i
$369$	4.03310	−	3.93362i	0.209955	−	0.204776i
$370$	−1.43121	−	0.195435i	−0.0744051	−	0.0101602i
$371$	5.87523	+	16.1421i	0.305027	+	0.838054i
$372$	9.27013	+	12.2385i	0.480634	+	0.634537i
$373$	16.8121	−	4.50478i	0.870496	−	0.233249i	0.204194	−	0.978931i	$-0.434543\pi$
$373$	16.8121	−	4.50478i	0.870496	−	0.233249i	0.666302	+	0.745682i	$0.267876\pi$
$374$	−1.60999	+	9.13073i	−0.0832508	+	0.472139i
$375$	−11.4329	+	15.6297i	−0.590395	+	0.807115i
$376$	−3.75654	−	3.15212i	−0.193729	−	0.162558i
$377$	−8.00723	+	11.4355i	−0.412393	+	0.588959i
$378$	−0.344604	−	13.8338i	−0.0177245	−	0.711535i
$379$		−	20.4502i		−	1.05046i	−0.850962	−	0.525228i	$-0.823980\pi$
$379$		−	20.4502i		−	1.05046i	0.850962	−	0.525228i	$-0.176020\pi$
$380$	4.07248	−	8.85522i	0.208914	−	0.454263i
$381$	3.88329	+	3.01846i	0.198947	+	0.154640i
$382$	14.9518	−	6.97216i	0.765003	−	0.356727i
$383$	7.96661	+	5.57828i	0.407075	+	0.285037i	0.759126	−	0.650944i	$-0.225627\pi$
$383$	7.96661	+	5.57828i	0.407075	+	0.285037i	−0.352051	+	0.935981i	$0.614516\pi$
$384$	−0.364321	−	1.69330i	−0.0185917	−	0.0864109i
$385$	7.16640	+	4.61414i	0.365233	+	0.235158i
$386$	1.25392	+	0.221100i	0.0638230	+	0.0112537i
$387$	−20.0758	+	11.2589i	−1.02051	+	0.572324i
$388$	−2.76039	+	10.3019i	−0.140138	+	0.523001i
$389$	12.2851	−	4.47142i	0.622881	−	0.226710i	−0.0112489	−	0.999937i	$-0.503581\pi$
$389$	12.2851	−	4.47142i	0.622881	−	0.226710i	0.634130	+	0.773227i	$0.281358\pi$
$390$	−9.04085	−	0.0999590i	−0.457801	−	0.00506162i
$391$	16.2621	+	28.1668i	0.822409	+	1.42445i
$392$	0.0892002	−	0.0239011i	0.00450529	−	0.00120719i
$393$	0.237361	−	4.75508i	0.0119733	−	0.239862i
$394$	−2.24604	−	2.67673i	−0.113154	−	0.134852i
$395$	20.1380	−	8.22810i	1.01325	−	0.414001i
$396$	1.76595	+	3.91395i	0.0887424	+	0.196683i
$397$	2.04170	−	0.952059i	0.102470	−	0.0477824i	−0.370708	−	0.928750i	$-0.620885\pi$
$397$	2.04170	−	0.952059i	0.102470	−	0.0477824i	0.473177	+	0.880967i	$0.343107\pi$
$398$	8.39561	−	8.39561i	0.420834	−	0.420834i
$399$	11.5958	+	16.4256i	0.580518	+	0.822309i
$400$	−2.82832	−	4.12318i	−0.141416	−	0.206159i
$401$	8.00703	−	21.9991i	0.399852	−	1.09858i	−0.562504	−	0.826794i	$-0.690162\pi$
$401$	8.00703	−	21.9991i	0.399852	−	1.09858i	0.962357	−	0.271790i	$-0.0876157\pi$
$402$	11.1548	−	3.44067i	0.556349	−	0.171605i
$403$	1.80352	+	20.6143i	0.0898397	+	1.02687i
$404$	−2.80979	+	2.35769i	−0.139792	+	0.117300i
$405$	3.21980	−	19.8654i	0.159993	−	0.987118i
$406$	7.96280	−	13.7920i	0.395187	−	0.684484i
$407$	−0.239308	+	0.893109i	−0.0118621	+	0.0442698i
$408$	5.11849	+	9.98421i	0.253403	+	0.494292i
$409$	−5.24450	−	14.4091i	−0.259324	−	0.712486i	−0.999210	−	0.0397538i	$-0.987343\pi$
$409$	−5.24450	−	14.4091i	−0.259324	−	0.712486i	0.739886	−	0.672733i	$-0.234880\pi$
$410$	3.08225	+	2.85178i	0.152222	+	0.140839i
$411$	7.99370	+	19.6445i	0.394300	+	0.968991i
$412$	3.48859	+	4.98222i	0.171870	+	0.245456i
$413$	−0.662288	+	7.56999i	−0.0325891	+	0.372495i
$414$	13.5709	+	6.53573i	0.666975	+	0.321214i
$415$	−9.37835	−	18.2293i	−0.460365	−	0.894842i
$416$	0.798439	−	2.19369i	0.0391467	−	0.107555i
$417$	−34.0261	+	4.26370i	−1.66626	+	0.208794i
$418$	−5.29539	−	3.29887i	−0.259006	−	0.161353i
$419$	7.44294			0.363611			0.181806	−	0.983334i	$-0.441806\pi$
$419$	7.44294			0.363611			0.181806	+	0.983334i	$0.441806\pi$
$420$	10.2844	−	0.785299i	0.501826	−	0.0383187i
$421$	−4.38855	−	24.8887i	−0.213885	−	1.21300i	−0.882831	−	0.469691i	$-0.844365\pi$
$421$	−4.38855	−	24.8887i	−0.213885	−	1.21300i	0.668946	−	0.743311i	$-0.266746\pi$
$422$	−1.87756	−	21.4606i	−0.0913982	−	1.04469i
$423$	14.5187	−	2.37354i	0.705925	−	0.115405i
$424$	−6.35228	−	1.12008i	−0.308494	−	0.0543958i
$425$	24.6096	+	21.0569i	1.19374	+	1.02141i
$426$	−2.79895	+	20.2809i	−0.135609	+	0.982615i
$427$	1.69899	−	3.64350i	0.0822199	−	0.176321i
$428$	−8.46197	+	18.1467i	−0.409025	+	0.877156i
$429$	−0.791208	+	5.73303i	−0.0381999	+	0.276793i
$430$	−9.14825	−	14.5136i	−0.441168	−	0.699906i
$431$	5.95409	+	1.04987i	0.286799	+	0.0505703i	0.315197	−	0.949026i	$-0.397930\pi$
$431$	5.95409	+	1.04987i	0.286799	+	0.0505703i	−0.0283981	+	0.999597i	$0.509041\pi$
$432$	4.56330	+	2.48521i	0.219552	+	0.119570i
$433$	2.99099	+	34.1872i	0.143738	+	1.64293i	0.635428	+	0.772160i	$0.280824\pi$
$433$	2.99099	+	34.1872i	0.143738	+	1.64293i	−0.491691	+	0.870770i	$0.663621\pi$
$434$	−4.09920	−	23.2477i	−0.196768	−	1.11593i
$435$	15.0825	−	17.5762i	0.723149	−	0.842716i
$436$	12.6212			0.604444
$437$	−21.6685	+	3.07550i	−1.03654	+	0.147121i
$438$	7.87873	−	0.987258i	0.376460	−	0.0471730i
$439$	10.9860	−	30.1837i	0.524331	−	1.44059i	−0.341324	−	0.939946i	$-0.610875\pi$
$439$	10.9860	−	30.1837i	0.524331	−	1.44059i	0.865655	−	0.500641i	$-0.166902\pi$
$440$	−2.84594	+	1.46414i	−0.135675	+	0.0698000i
$441$	−0.120208	+	0.249603i	−0.00572419	+	0.0118858i
$442$	−1.31798	+	15.0646i	−0.0626901	+	0.716551i
$443$	1.55787	+	2.22487i	0.0740167	+	0.105707i	0.854454	−	0.519528i	$-0.173892\pi$
$443$	1.55787	+	2.22487i	0.0740167	+	0.105707i	−0.780437	+	0.625235i	$0.785003\pi$
$444$	0.421723	+	1.03638i	0.0200141	+	0.0491845i
$445$	−1.24698	−	32.1059i	−0.0591124	−	1.52196i
$446$	0.205665	+	0.565059i	0.00973850	+	0.0267563i
$447$	5.09753	+	9.94334i	0.241105	+	0.470304i
$448$	−0.689273	+	2.57240i	−0.0325651	+	0.121535i
$449$	−19.1905	+	33.2390i	−0.905658	+	1.56865i	−0.0856259	+	0.996327i	$0.527289\pi$
$449$	−19.1905	+	33.2390i	−0.905658	+	1.56865i	−0.820032	+	0.572318i	$0.806044\pi$
$450$	14.9104	+	1.63741i	0.702881	+	0.0771880i
$451$	2.05902	−	1.72773i	0.0969557	−	0.0813555i
$452$	−0.631674	−	7.22006i	−0.0297114	−	0.339603i
$453$	−3.59307	+	1.10828i	−0.168817	+	0.0520715i
$454$	−4.46377	+	12.2641i	−0.209495	+	0.575584i
$455$	12.3000	+	6.47840i	0.576632	+	0.303712i
$456$	−7.51852	+	0.686966i	−0.352087	+	0.0321701i
$457$	19.6077	−	19.6077i	0.917211	−	0.917211i	−0.0796146	−	0.996826i	$-0.525369\pi$
$457$	19.6077	−	19.6077i	0.917211	−	0.917211i	0.996826	+	0.0796146i	$0.0253690\pi$
$458$	−13.8735	+	6.46931i	−0.648265	+	0.302291i
$459$	−32.7193	−	7.89933i	−1.52721	−	0.368709i
$460$	−4.34630	+	10.3517i	−0.202647	+	0.482650i
$461$	22.2588	+	26.5270i	1.03669	+	1.23548i	0.971358	+	0.237622i	$0.0763678\pi$
$461$	22.2588	+	26.5270i	1.03669	+	1.23548i	0.0653371	+	0.997863i	$0.479188\pi$
$462$	0.329152	−	6.59395i	0.0153136	−	0.306778i
$463$	34.6237	−	9.27738i	1.60910	−	0.431157i	0.661325	−	0.750100i	$-0.269995\pi$
$463$	34.6237	−	9.27738i	1.60910	−	0.431157i	0.947774	+	0.318943i	$0.103328\pi$
$464$	2.99000	+	5.17883i	0.138807	+	0.240421i
$465$	0.379547	−	34.3284i	0.0176011	−	1.59194i
$466$	−3.35961	+	1.22280i	−0.155631	+	0.0566450i
$467$	−2.25365	+	8.41073i	−0.104286	+	0.389202i	−0.998263	−	0.0589109i	$-0.981237\pi$
$467$	−2.25365	+	8.41073i	−0.104286	+	0.389202i	0.893977	+	0.448113i	$0.147904\pi$
$468$	3.42572	+	6.10840i	0.158354	+	0.282361i
$469$	−17.6759	−	3.11673i	−0.816196	−	0.143917i
$470$	2.32177	+	10.7167i	0.107095	+	0.494322i
$471$	6.74117	+	31.3318i	0.310617	+	1.44369i
$472$	−2.33733	−	1.63662i	−0.107584	−	0.0753314i
$473$	−9.95271	+	4.64103i	−0.457626	+	0.213395i
$474$	−13.3042	−	10.3413i	−0.611083	−	0.474991i
$475$	−19.3273	+	10.0726i	−0.886795	+	0.462162i
$476$		−	17.2512i		−	0.790706i
$477$	14.9777	−	12.2524i	0.685783	−	0.561000i
$478$	−1.44454	+	2.06302i	−0.0660719	+	0.0943605i
$479$	−13.8567	−	11.6271i	−0.633127	−	0.531257i	0.268772	−	0.963204i	$-0.413382\pi$
$479$	−13.8567	−	11.6271i	−0.633127	−	0.531257i	−0.901899	+	0.431947i	$0.857827\pi$
$480$	−1.67550	+	3.49180i	−0.0764758	+	0.159378i
$481$	−0.261873	+	1.48516i	−0.0119404	+	0.0677173i
$482$	1.99207	−	0.533775i	0.0907365	−	0.0243128i
$483$	−13.9839	−	18.4617i	−0.636291	−	0.840037i
$484$	−3.06155	−	8.41155i	−0.139162	−	0.382343i
$485$	18.9899	−	14.4268i	0.862287	−	0.655086i
$486$	−14.5810	+	5.51308i	−0.661408	+	0.250078i
$487$	2.38543	+	8.90254i	0.108094	+	0.403413i	0.998678	−	0.0514067i	$-0.0163705\pi$
$487$	2.38543	+	8.90254i	0.108094	+	0.403413i	−0.890584	+	0.454819i	$0.849704\pi$
$488$	0.865843	+	1.23655i	0.0391949	+	0.0559761i
$489$	−1.23164	−	32.9246i	−0.0556969	−	1.48890i
$490$	−0.190393	−	0.0799391i	−0.00860107	−	0.00361128i
$491$	−21.2689	+	3.75028i	−0.959853	+	0.169248i	−0.631559	−	0.775328i	$-0.717585\pi$
$491$	−21.2689	+	3.75028i	−0.959853	+	0.169248i	−0.328294	+	0.944576i	$0.606474\pi$
$492$	0.723813	−	3.17110i	0.0326320	−	0.142964i
$493$	−27.3911	−	27.3911i	−1.23363	−	1.23363i
$494$	−9.07298	−	4.60731i	−0.408212	−	0.207293i
$495$	2.23997	−	9.33651i	0.100679	−	0.419645i
$496$	8.32952	+	3.03170i	0.374007	+	0.136127i
$497$	18.0556	−	25.7860i	0.809902	−	1.15666i
$498$	−8.61546	+	13.3391i	−0.386068	+	0.597738i
$499$	−21.4360	−	25.5465i	−0.959609	−	1.14362i	−0.989568	−	0.144067i	$-0.953982\pi$
$499$	−21.4360	−	25.5465i	−0.959609	−	1.14362i	0.0299587	−	0.999551i	$-0.490462\pi$
$500$	−0.648910	+	11.1615i	−0.0290201	+	0.499157i
$501$	−11.8067	−	29.0150i	−0.527487	−	1.29630i
$502$	26.3464	+	7.05951i	1.17590	+	0.315081i
$503$	−12.7343	+	27.3089i	−0.567796	+	1.21764i	0.387467	+	0.921884i	$0.373350\pi$
$503$	−12.7343	+	27.3089i	−0.567796	+	1.21764i	−0.955263	+	0.295759i	$0.904428\pi$
$504$	−4.50049	−	6.60127i	−0.200468	−	0.294044i
$505$	8.19554	−	0.318311i	0.364697	−	0.0141646i
$506$	6.22363	+	3.59321i	0.276674	+	0.159738i
$507$	0.651974	−	13.0611i	0.0289552	−	0.580063i
$508$	2.82885	+	0.247493i	0.125510	+	0.0109807i
$509$	18.9596	+	15.9090i	0.840370	+	0.705154i	0.957647	−	0.287945i	$-0.0929721\pi$
$509$	18.9596	+	15.9090i	0.840370	+	0.705154i	−0.117277	+	0.993099i	$0.537417\pi$
$510$	4.62941	−	24.6574i	0.204994	−	1.09185i
$511$	−11.4725	−	4.17566i	−0.507515	−	0.184720i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	13.1509	−	18.4405i	0.580628	−	0.814169i
$514$			9.34782i			0.412315i
$515$	0.658621	−	13.5842i	0.0290223	−	0.598591i
$516$	−6.20969	+	11.7490i	−0.273367	+	0.517223i
$517$	6.99213	−	0.611732i	0.307513	−	0.0269039i
$518$	0.149941	−	1.71384i	0.00658804	−	0.0753017i
$519$	11.6022	−	10.4990i	0.509282	−	0.460855i
$520$	−4.41600	+	2.78351i	−0.193654	+	0.122065i
$521$	−6.38827	+	3.68827i	−0.279875	+	0.161586i	−0.633367	−	0.773852i	$-0.718328\pi$
$521$	−6.38827	+	3.68827i	−0.279875	+	0.161586i	0.353492	+	0.935438i	$0.384994\pi$
$522$	−17.6272	−	3.33558i	−0.771520	−	0.145995i
$523$	−32.5540	−	15.1802i	−1.42349	−	0.663782i	−0.450104	−	0.892976i	$-0.648613\pi$
$523$	−32.5540	−	15.1802i	−1.42349	−	0.663782i	−0.973381	+	0.229194i	$0.926391\pi$
$524$	−1.37438	−	2.38050i	−0.0600402	−	0.103993i
$525$	−19.2525	−	12.6991i	−0.840247	−	0.554235i
$526$	3.58715	−	20.3437i	0.156407	−	0.887028i
$527$	−57.2008	−	5.00442i	−2.49171	−	0.217996i
$528$	2.08248	+	1.34504i	0.0906284	+	0.0585352i
$529$	2.17598	−	0.383684i	0.0946078	−	0.0166819i
$530$	9.69291	+	10.6807i	0.421033	+	0.463940i
$531$	8.29541	−	2.11210i	0.359990	−	0.0916575i
$532$	10.7690	+	4.33387i	0.466897	+	0.187897i
$533$	3.09993	−	3.09993i	0.134273	−	0.134273i
$534$	−21.0733	+	13.2409i	−0.911929	+	0.572991i
$535$	39.8124	−	20.4821i	1.72124	−	0.885518i
$536$	4.33213	−	5.16284i	0.187120	−	0.223001i
$537$	29.9861	+	27.8236i	1.29400	+	1.20068i
$538$	21.4297	−	15.0052i	0.923900	−	0.646921i
$539$	−0.0660880	+	0.114468i	−0.00284661	+	0.00493047i
$540$	−4.66114	−	10.6430i	−0.200584	−	0.458002i
$541$	2.08890	−	0.760298i	0.0898089	−	0.0326878i	−0.296725	−	0.954963i	$-0.595894\pi$
$541$	2.08890	−	0.760298i	0.0898089	−	0.0326878i	0.386534	+	0.922275i	$0.373672\pi$
$542$	7.14926	+	3.33375i	0.307087	+	0.143197i
$543$	27.3721	−	20.7332i	1.17465	−	0.889746i
$544$	5.60989	+	3.23887i	0.240522	+	0.138865i
$545$	−22.3069	−	17.2879i	−0.955522	−	0.740532i
$546$	−0.402537	−	10.7607i	−0.0172270	−	0.460517i
$547$	7.65159	−	0.669427i	0.327158	−	0.0286226i	0.0776064	−	0.996984i	$-0.475272\pi$
$547$	7.65159	−	0.669427i	0.327158	−	0.0286226i	0.249552	+	0.968361i	$0.419717\pi$
$548$	10.0303	+	7.02332i	0.428475	+	0.300022i
$549$	−4.50614	−	0.450993i	−0.192317	−	0.0192479i
$550$	7.03548	+	1.31050i	0.299994	+	0.0558799i
$551$	23.9801	−	10.2177i	1.02159	−	0.435287i
$552$	8.62899	−	1.08127i	0.367274	−	0.0460219i
$553$	10.9496	+	23.4816i	0.465626	+	0.998537i
$554$	−4.95229	−	28.0858i	−0.210403	−	1.19325i
$555$	0.674227	−	2.40938i	0.0286193	−	0.102272i
$556$	−15.1666	+	12.7263i	−0.643207	+	0.539715i
$557$	−17.8294	+	12.4843i	−0.755455	+	0.528975i	−0.886683	−	0.462377i	$-0.846997\pi$
$557$	−17.8294	+	12.4843i	−0.755455	+	0.528975i	0.131229	+	0.991352i	$0.458108\pi$
$558$	−23.1938	+	13.0076i	−0.981872	+	0.550655i
$559$	−15.5116	+	8.95562i	−0.656070	+	0.378782i
$560$	4.74179	−	3.60238i	0.200377	−	0.152228i
$561$	−15.2852	−	4.92451i	−0.645340	−	0.207913i
$562$	2.12700	+	0.569928i	0.0897221	+	0.0240410i
$563$	−1.36991	−	5.11257i	−0.0577348	−	0.215469i	0.931032	−	0.364939i	$-0.118910\pi$
$563$	−1.36991	−	5.11257i	−0.0577348	−	0.215469i	−0.988766	+	0.149470i	$0.952243\pi$
$564$	6.29789	−	5.69903i	0.265189	−	0.239973i
$565$	−8.77328	+	13.6261i	−0.369095	+	0.573255i
$566$	15.9576	−	19.0176i	0.670749	−	0.799368i
$567$	23.8175	+	2.68449i	1.00024	+	0.112738i
$568$	4.99543	+	10.7127i	0.209604	+	0.449496i
$569$	0.0853421			0.00357772			0.00178886	−	0.999998i	$-0.499431\pi$
$569$	0.0853421			0.00357772			0.00178886	+	0.999998i	$0.499431\pi$
$570$	14.2293	+	9.08437i	0.596002	+	0.380502i
$571$	24.3292			1.01815			0.509073	−	0.860723i	$-0.329988\pi$
$571$	24.3292			1.01815			0.509073	+	0.860723i	$0.329988\pi$
$572$	1.41211	+	3.02828i	0.0590433	+	0.126619i
$573$	8.42225	+	27.3052i	0.351844	+	1.14069i
$574$	−3.21469	+	3.83112i	−0.134179	+	0.159908i
$575$	21.8610	−	12.3424i	0.911667	−	0.514714i
$576$	2.99162	−	0.224134i	0.124651	−	0.00933892i
$577$	2.51769	+	9.39614i	0.104813	+	0.391166i	0.998324	−	0.0578747i	$-0.0184324\pi$
$577$	2.51769	+	9.39614i	0.104813	+	0.391166i	−0.893511	+	0.449041i	$0.851766\pi$
$578$	−24.1106	−	6.46042i	−1.00287	−	0.268718i
$579$	−0.676283	+	2.09911i	−0.0281053	+	0.0872361i
$580$	1.80914	−	13.2487i	0.0751206	−	0.550123i
$581$	21.1447	−	12.2079i	0.877228	−	0.506468i
$582$	−17.0223	−	7.17568i	−0.705596	−	0.297442i
$583$	7.56263	−	5.29541i	0.313212	−	0.219314i
$584$	3.51182	−	2.94677i	0.145320	−	0.121938i
$585$	2.31232	−	15.4885i	0.0956029	−	0.640371i
$586$	1.49880	+	8.50009i	0.0619147	+	0.351136i
$587$	−6.67870	−	14.3225i	−0.275659	−	0.591153i	0.718925	−	0.695088i	$-0.244635\pi$
$587$	−6.67870	−	14.3225i	−0.275659	−	0.591153i	−0.994584	+	0.103935i	$0.966857\pi$
$588$	0.0198872	+	0.158708i	0.000820135	+	0.00654502i
$589$	17.4941	−	34.4504i	0.720831	−	1.41950i
$590$	1.88928	+	6.09416i	0.0777805	+	0.250893i
$591$	5.12455	−	3.21990i	0.210796	−	0.132449i
$592$	0.529170	+	0.370529i	0.0217487	+	0.0152286i
$593$	−39.4753	+	3.45364i	−1.62106	+	0.141824i	−0.861199	−	0.508268i	$-0.830286\pi$
$593$	−39.4753	+	3.45364i	−1.62106	+	0.141824i	−0.759856	+	0.650092i	$0.774731\pi$
$594$	−7.13367	+	2.10320i	−0.292698	+	0.0862954i
$595$	−23.6299	+	30.4901i	−0.968731	+	1.24997i
$596$	5.58692	+	3.22561i	0.228849	+	0.132126i
$597$	12.4171	+	16.3931i	0.508197	+	0.670926i
$598$	10.6230	+	4.95360i	0.434408	+	0.202568i
$599$	−5.54126	+	2.01685i	−0.226410	+	0.0824064i	−0.452734	−	0.891646i	$-0.649551\pi$
$599$	−5.54126	+	2.01685i	−0.226410	+	0.0824064i	0.226324	+	0.974052i	$0.427329\pi$
$600$	7.74423	−	3.87646i	0.316157	−	0.158256i
$601$	−17.9989	+	31.1750i	−0.734190	+	1.27165i	0.220888	+	0.975299i	$0.429104\pi$
$601$	−17.9989	+	31.1750i	−0.734190	+	1.27165i	−0.955078	+	0.296355i	$0.904229\pi$
$602$	16.7377	−	11.7198i	0.682176	−	0.477665i
$603$	3.26209	+	19.9539i	0.132842	+	0.812587i
$604$	−1.39543	+	1.66301i	−0.0567792	+	0.0676668i
$605$	−6.11071	+	19.0603i	−0.248436	+	0.774912i
$606$	−3.37996	−	5.37929i	−0.137302	−	0.218519i
$607$	−17.5847	+	17.5847i	−0.713742	+	0.713742i	−0.967316	−	0.253574i	$-0.918394\pi$
$607$	−17.5847	+	17.5847i	−0.713742	+	0.713742i	0.253574	+	0.967316i	$0.418394\pi$
$608$	−3.43119	+	2.68830i	−0.139153	+	0.109025i
$609$	21.7786	+	16.9283i	0.882512	+	0.685971i
$610$	0.163465	−	3.37150i	0.00661850	−	0.136508i
$611$	11.2740	−	1.98790i	0.456095	−	0.0804219i
$612$	−18.3428	+	6.41804i	−0.741465	+	0.259434i
$613$	−20.8840	−	1.82711i	−0.843497	−	0.0737964i	−0.342789	−	0.939412i	$-0.611372\pi$
$613$	−20.8840	−	1.82711i	−0.843497	−	0.0737964i	−0.500708	+	0.865616i	$0.666927\pi$
$614$	4.68405	−	26.5646i	0.189033	−	1.07206i
$615$	−5.62290	+	4.61321i	−0.226737	+	0.186023i
$616$	−1.90588	−	3.30108i	−0.0767901	−	0.133004i
$617$	−26.4726	−	12.3444i	−1.06575	−	0.496966i	−0.191022	−	0.981586i	$-0.561180\pi$
$617$	−26.4726	−	12.3444i	−1.06575	−	0.496966i	−0.874725	+	0.484619i	$0.838958\pi$
$618$	−9.37451	+	4.80592i	−0.377098	+	0.193322i
$619$	21.1881	−	12.2330i	0.851623	−	0.491685i	−0.00957495	−	0.999954i	$-0.503048\pi$
$619$	21.1881	−	12.2330i	0.851623	−	0.491685i	0.861198	+	0.508269i	$0.169715\pi$
$620$	−10.5691	−	16.7677i	−0.424464	−	0.673407i
$621$	−14.4274	+	21.7372i	−0.578953	+	0.872285i
$622$	0.182536	−	2.08640i	0.00731903	−	0.0836569i
$623$	38.1211	−	3.33517i	1.52729	−	0.133621i
$624$	3.57485	+	1.88941i	0.143108	+	0.0756368i
$625$	16.4354	−	18.8382i	0.657416	−	0.753528i
$626$			9.71394i			0.388247i
$627$	6.91409	−	8.30462i	0.276122	−	0.331654i
$628$	13.0839	+	13.0839i	0.522104	+	0.522104i
$629$	−3.93224	−	1.43122i	−0.156789	−	0.0570664i
$630$	−1.08787	+	17.8318i	−0.0433418	+	0.710435i
$631$	−10.1203	−	8.49197i	−0.402884	−	0.338060i	0.418723	−	0.908114i	$-0.362478\pi$
$631$	−10.1203	−	8.49197i	−0.402884	−	0.338060i	−0.821607	+	0.570054i	$0.806922\pi$
$632$	−9.69171	−	0.847915i	−0.385516	−	0.0337282i
$633$	37.2665	+	1.86024i	1.48121	+	0.0739380i
$634$	−0.770182	−	0.444665i	−0.0305878	−	0.0176599i
$635$	−4.66077	−	4.31226i	−0.184957	−	0.171127i
$636$	3.42600	−	10.6339i	0.135850	−	0.421663i
$637$	−0.0911088	+	0.195383i	−0.00360986	+	0.00774138i
$638$	−8.26752	−	2.21527i	−0.327314	−	0.0877036i
$639$	−34.1350	−	9.60480i	−1.35036	−	0.379960i
$640$	0.281192	+	2.21832i	0.0111151	+	0.0876867i
$641$	2.15758	+	2.57131i	0.0852194	+	0.101561i	0.806969	−	0.590594i	$-0.201106\pi$
$641$	2.15758	+	2.57131i	0.0852194	+	0.101561i	−0.721750	+	0.692154i	$0.756662\pi$
$642$	−29.1322	−	18.8160i	−1.14976	−	0.742607i
$643$	−12.3146	+	17.5870i	−0.485640	+	0.693565i	−0.984946	−	0.172860i	$-0.944699\pi$
$643$	−12.3146	+	17.5870i	−0.485640	+	0.693565i	0.499307	+	0.866425i	$0.333588\pi$
$644$	−12.5650	−	4.57329i	−0.495131	−	0.180213i
$645$	27.0684	−	12.2597i	1.06582	−	0.482727i
$646$	16.9619	−	22.5733i	0.667358	−	0.888136i
$647$	−0.789733	−	0.789733i	−0.0310476	−	0.0310476i	0.691413	−	0.722460i	$-0.256989\pi$
$647$	−0.789733	−	0.789733i	−0.0310476	−	0.0310476i	−0.722460	+	0.691413i	$0.756989\pi$
$648$	−5.34465	+	7.24118i	−0.209958	+	0.284460i
$649$	4.02196	−	0.709180i	0.157876	−	0.0278378i
$650$	11.6177	+	1.12920i	0.455682	+	0.0442910i
$651$	40.8589	−	1.52845i	1.60139	−	0.0599046i
$652$	−10.9108	−	15.5822i	−0.427299	−	0.610246i
$653$	−8.51726	−	31.7868i	−0.333306	−	1.24392i	−0.905694	−	0.423932i	$-0.860649\pi$
$653$	−8.51726	−	31.7868i	−0.333306	−	1.24392i	0.572388	−	0.819983i	$-0.306017\pi$
$654$	−2.98861	+	21.6552i	−0.116864	+	0.846786i
$655$	−0.831591	+	6.08991i	−0.0324929	+	0.237952i
$656$	−0.642287	−	1.76467i	−0.0250771	−	0.0688987i
$657$	−0.171708	+	13.7520i	−0.00669898	+	0.536517i
$658$	−12.6146	+	3.38007i	−0.491768	+	0.131769i
$659$	3.62627	−	20.5656i	0.141260	−	0.801123i	−0.829035	−	0.559197i	$-0.811110\pi$
$659$	3.62627	−	20.5656i	0.141260	−	0.801123i	0.970295	−	0.241926i	$-0.0777792\pi$
$660$	−1.83825	−	5.22973i	−0.0715537	−	0.203567i
$661$	10.9354	+	9.17587i	0.425337	+	0.356900i	0.830189	−	0.557482i	$-0.188233\pi$
$661$	10.9354	+	9.17587i	0.425337	+	0.356900i	−0.404852	+	0.914382i	$0.632677\pi$
$662$	−13.7280	+	19.6055i	−0.533552	+	0.761991i
$663$	−25.5356	−	5.82859i	−0.991721	−	0.226364i
$664$			9.16801i			0.355788i
$665$	−13.0971	−	22.4107i	−0.507883	−	0.869050i
$666$	−1.87807	+	0.478178i	−0.0727738	+	0.0185290i
$667$	−27.2119	+	12.6891i	−1.05365	+	0.491325i
$668$	−14.8149	−	10.3735i	−0.573205	−	0.401362i
$669$	−1.01822	+	0.219075i	−0.0393667	+	0.00846991i
$670$	−14.7285	+	3.19094i	−0.569012	+	0.123277i
$671$	−2.12779	−	0.375188i	−0.0821426	−	0.0144840i
$672$	−4.25048	−	1.79177i	−0.163966	−	0.0691192i
$673$	10.0185	−	37.3897i	0.386186	−	1.44127i	−0.450102	−	0.892977i	$-0.648612\pi$
$673$	10.0185	−	37.3897i	0.386186	−	1.44127i	0.836288	−	0.548290i	$-0.184721\pi$
$674$	−21.8165	+	7.94057i	−0.840341	+	0.305859i
$675$	−6.34012	+	25.1953i	−0.244031	+	0.969767i
$676$	−3.77510	−	6.53867i	−0.145196	−	0.251487i
$677$	2.31424	−	0.620099i	0.0889436	−	0.0238324i	−0.214073	−	0.976818i	$-0.568673\pi$
$677$	2.31424	−	0.620099i	0.0889436	−	0.0238324i	0.303016	+	0.952985i	$0.402006\pi$
$678$	12.5377	+	0.625847i	0.481506	+	0.0240355i
$679$	18.2573	+	21.7582i	0.700652	+	0.835005i
$680$	−5.47857	−	13.4086i	−0.210094	−	0.514197i
$681$	−19.9856	−	10.5630i	−0.765851	−	0.404773i
$682$	−11.4985	+	5.36183i	−0.440300	+	0.205315i
$683$	18.0308	−	18.0308i	0.689928	−	0.689928i	−0.272288	−	0.962216i	$-0.587780\pi$
$683$	18.0308	−	18.0308i	0.689928	−	0.689928i	0.962216	+	0.272288i	$0.0877803\pi$
$684$	0.601650	−	13.0628i	0.0230047	−	0.499471i
$685$	−8.10760	−	26.1523i	−0.309775	−	0.999227i
$686$	−6.29183	+	17.2867i	−0.240223	+	0.660008i
$687$	−7.81481	−	25.3358i	−0.298153	−	0.966622i
$688$	0.668700	+	7.64327i	0.0254939	+	0.291397i
$689$	11.5351	−	9.67912i	0.439453	−	0.368745i
$690$	−16.7321	−	9.90854i	−0.636981	−	0.377212i
$691$	24.5022	−	42.4390i	0.932106	−	1.61446i	0.152391	−	0.988320i	$-0.451303\pi$
$691$	24.5022	−	42.4390i	0.932106	−	1.61446i	0.779715	−	0.626135i	$-0.215364\pi$
$692$	2.33818	−	8.72620i	0.0888842	−	0.331720i
$693$	11.2359	+	2.12616i	0.426816	+	0.0807662i
$694$	−1.45831	−	4.00668i	−0.0553567	−	0.152091i
$695$	44.2377	−	1.71817i	1.67803	−	0.0651739i
$696$	−9.59379	+	3.90389i	−0.363652	+	0.147977i
$697$	6.97738	+	9.96472i	0.264287	+	0.377441i
$698$	−2.31251	+	26.4321i	−0.0875298	+	1.00047i
$699$	−1.30253	−	6.05393i	−0.0492661	−	0.228981i
$700$	−13.3151	−	0.128181i	−0.503264	−	0.00484478i
$701$	−8.30058	+	22.8056i	−0.313508	+	0.861357i	0.678433	+	0.734662i	$0.262659\pi$
$701$	−8.30058	+	22.8056i	−0.313508	+	0.861357i	−0.991942	+	0.126695i	$0.959563\pi$
$702$	−11.2919	+	4.43138i	−0.426186	+	0.167252i
$703$	1.88130	−	2.09515i	0.0709546	−	0.0790199i
$704$	1.43130			0.0539441
$705$	−18.9373	+	1.44602i	−0.713220	+	0.0544603i
$706$	1.52529	+	8.65033i	0.0574049	+	0.325560i
$707$	0.851355	+	9.73103i	0.0320185	+	0.365973i
$708$	3.36155	−	3.62283i	0.126335	−	0.136154i
$709$	7.89470	+	1.39205i	0.296492	+	0.0522795i	0.319915	−	0.947446i	$-0.396346\pi$
$709$	7.89470	+	1.39205i	0.296492	+	0.0522795i	−0.0234236	+	0.999726i	$0.507457\pi$
$710$	5.84480	−	25.7764i	0.219351	−	0.967371i
$711$	20.8938	−	20.3785i	0.783579	−	0.764253i
$712$	−6.07260	+	13.0227i	−0.227580	+	0.488048i
$713$	−18.8090	+	40.3360i	−0.704402	+	1.51059i
$714$	29.5994	+	4.08497i	1.10773	+	0.152876i
$715$	1.65221	−	7.28649i	0.0617892	−	0.272499i
$716$	23.2584	+	4.10109i	0.869208	+	0.153265i
$717$	−3.19765	−	2.96704i	−0.119419	−	0.110806i
$718$	−0.426607	−	4.87614i	−0.0159208	−	0.181976i
$719$	5.90915	+	33.5125i	0.220374	+	1.24980i	0.871334	+	0.490691i	$0.163256\pi$
$719$	5.90915	+	33.5125i	0.220374	+	1.24980i	−0.650960	+	0.759112i	$0.725633\pi$
$720$	−5.59445	−	3.70164i	−0.208493	−	0.137952i
$721$	16.1977			0.603234
$722$	9.83019	+	16.2594i	0.365842	+	0.605111i
$723$	0.444133	+	3.54437i	0.0165175	+	0.131817i
$724$	6.78057	−	18.6295i	0.251998	−	0.692359i
$725$	−21.3450	+	20.9380i	−0.792734	+	0.777617i
$726$	15.1574	−	3.26117i	0.562544	−	0.121034i
$727$	−2.34944	+	26.8542i	−0.0871357	+	0.995966i	0.819228	+	0.573468i	$0.194402\pi$
$727$	−2.34944	+	26.8542i	−0.0871357	+	0.995966i	−0.906364	+	0.422498i	$0.861153\pi$
$728$	−3.56596	−	5.09272i	−0.132163	−	0.188749i
$729$	−6.00658	−	26.3234i	−0.222466	−	0.974940i
$730$	−10.2432	+	0.397842i	−0.379118	+	0.0147248i
$731$	−16.9985	−	46.7030i	−0.628712	−	1.72737i
$732$	−2.32669	+	1.19280i	−0.0859968	+	0.0440870i
$733$	−12.7149	+	47.4528i	−0.469637	+	1.75271i	0.171404	+	0.985201i	$0.445170\pi$
$733$	−12.7149	+	47.4528i	−0.469637	+	1.75271i	−0.641040	+	0.767507i	$0.721497\pi$
$734$	1.81698	−	3.14709i	0.0670658	−	0.116161i
$735$	0.182242	−	0.307745i	0.00672211	−	0.0113513i
$736$	3.84624	−	3.22738i	0.141774	−	0.118963i
$737$	0.840738	+	9.60968i	0.0309690	+	0.353977i
$738$	5.26953	+	1.99281i	0.193974	+	0.0733562i
$739$	−8.51633	+	23.3984i	−0.313278	+	0.860725i	0.678711	+	0.734405i	$0.262539\pi$
$739$	−8.51633	+	23.3984i	−0.313278	+	0.860725i	−0.991990	+	0.126320i	$0.959683\pi$
$740$	−0.427732	−	1.37971i	−0.0157237	−	0.0507192i
$741$	10.0536	−	14.4763i	0.369328	−	0.531801i
$742$	−12.1467	+	12.1467i	−0.445919	+	0.445919i
$743$	−11.4154	+	5.32308i	−0.418789	+	0.195285i	−0.620579	−	0.784144i	$-0.713102\pi$
$743$	−11.4154	+	5.32308i	−0.418789	+	0.195285i	0.201789	+	0.979429i	$0.435324\pi$
$744$	−7.17413	+	13.5738i	−0.263016	+	0.497640i
$745$	−5.45614	−	13.3537i	−0.199897	−	0.489242i
$746$	11.1878	+	13.3331i	0.409614	+	0.488160i
$747$	−20.8469	−	17.9409i	−0.762749	−	0.656424i
$748$	−8.95567	+	2.39966i	−0.327452	+	0.0877404i
$749$	26.6617	+	46.1794i	0.974198	+	1.68736i
$750$	−18.9971	−	3.75636i	−0.693676	−	0.137163i
$751$	4.54827	−	1.65543i	0.165969	−	0.0604077i	−0.257700	−	0.966225i	$-0.582964\pi$
$751$	4.54827	−	1.65543i	0.165969	−	0.0604077i	0.423668	+	0.905817i	$0.360742\pi$
$752$	1.26920	−	4.73673i	0.0462830	−	0.172731i
$753$	−18.3513	+	43.5333i	−0.668758	+	1.58644i
$754$	−13.7481	−	2.42416i	−0.500676	−	0.0882827i
$755$	4.74422	−	1.02784i	0.172660	−	0.0374068i
$756$	12.3921	−	6.15874i	0.450695	−	0.223991i
$757$	−13.8651	−	9.70844i	−0.503935	−	0.352859i	0.293800	−	0.955867i	$-0.405080\pi$
$757$	−13.8651	−	9.70844i	−0.503935	−	0.352859i	−0.797735	+	0.603008i	$0.793969\pi$
$758$	18.5342	−	8.64263i	0.673191	−	0.313914i
$759$	−7.63891	+	9.82758i	−0.277275	+	0.356718i
$760$	9.74666	−	0.0514616i	0.353548	−	0.00186671i
$761$		−	11.3441i		−	0.411222i	−0.978634	−	0.205611i	$-0.934082\pi$
$761$		−	11.3441i		−	0.411222i	0.978634	−	0.205611i	$-0.0659182\pi$
$762$	−1.09450	+	4.79511i	−0.0396496	+	0.173709i
$763$	19.2790	−	27.5333i	0.697948	−	0.996773i
$764$	12.6378	+	10.6044i	0.457221	+	0.383654i
$765$	41.2106	+	13.7818i	1.48997	+	0.498282i
$766$	−1.68880	+	9.57768i	−0.0610189	+	0.346056i
$767$	6.43413	−	1.72402i	0.232323	−	0.0622508i
$768$	1.38068	−	1.04581i	0.0498211	−	0.0377373i
$769$	−10.5012	−	28.8517i	−0.378681	−	1.04042i	−0.971903	−	0.235380i	$-0.924367\pi$
$769$	−10.5012	−	28.8517i	−0.378681	−	1.04042i	0.593222	−	0.805039i	$-0.297856\pi$
$770$	−1.15318	+	8.44498i	−0.0415578	+	0.304336i
$771$	−16.0389	−	2.21350i	−0.577626	−	0.0797174i
$772$	0.329546	+	1.22988i	0.0118606	+	0.0442644i
$773$	22.0384	+	31.4741i	0.792665	+	1.13204i	0.988472	+	0.151401i	$0.0483784\pi$
$773$	22.0384	+	31.4741i	0.792665	+	1.13204i	−0.195807	+	0.980642i	$0.562733\pi$
$774$	−18.6885	−	13.4366i	−0.671743	−	0.482969i
$775$	−4.28762	+	44.1126i	−0.154016	+	1.58457i
$776$	−10.5033	+	1.85202i	−0.377047	+	0.0664836i
$777$	2.90508	+	0.663093i	0.104219	+	0.0237883i
$778$	9.24440	+	9.24440i	0.331428	+	0.331428i
$779$	−7.97334	+	1.85227i	−0.285675	+	0.0663645i
$780$	−3.73023	−	8.23604i	−0.133564	−	0.294897i
$781$	−15.8979	−	5.78638i	−0.568873	−	0.207053i
$782$	−18.6551	+	26.6422i	−0.667105	+	0.952724i
$783$	9.89716	−	29.4546i	0.353696	−	1.05262i
$784$	0.0593594	+	0.0707418i	0.00211998	+	0.00252649i
$785$	−5.20300	−	41.0464i	−0.185703	−	1.46501i
$786$	4.40988	−	1.79446i	0.157295	−	0.0640063i
$787$	−6.04068	−	1.61860i	−0.215327	−	0.0576967i	0.149543	−	0.988755i	$-0.452220\pi$
$787$	−6.04068	−	1.61860i	−0.215327	−	0.0576967i	−0.364870	+	0.931059i	$0.618886\pi$
$788$	1.47672	−	3.16684i	0.0526060	−	0.112814i
$789$	34.0561	+	10.9720i	1.21243	+	0.390615i
$790$	15.9679	+	14.7739i	0.568112	+	0.525631i
$791$	−16.7156	−	9.65076i	−0.594339	−	0.343142i
$792$	−2.80092	+	3.25460i	−0.0995262	+	0.115647i
$793$	−3.51061	−	0.307138i	−0.124665	−	0.0109068i
$794$	1.72572	+	1.44805i	0.0612434	+	0.0513893i
$795$	−20.6211	+	14.1019i	−0.731354	+	0.500141i
$796$	11.1571	+	4.06087i	0.395455	+	0.143934i
$797$	0.453527	+	0.453527i	0.0160647	+	0.0160647i	0.715094	−	0.699029i	$-0.246384\pi$
$797$	0.453527	+	0.453527i	0.0160647	+	0.0160647i	−0.699029	+	0.715094i	$0.746384\pi$
$798$	−9.98604	+	17.4512i	−0.353502	+	0.617764i
$799$			31.7657i			1.12379i
$800$	2.54157	−	4.30586i	0.0898580	−	0.152235i
$801$	−17.7286	−	39.2926i	−0.626410	−	1.38834i
$802$	23.3219	−	2.04040i	0.823525	−	0.0720491i
$803$	−0.571880	+	6.53662i	−0.0201812	+	0.230672i
$804$	7.83251	+	8.65555i	0.276231	+	0.305258i
$805$	15.9434	+	25.2939i	0.561930	+	0.891494i
$806$	−17.9207	+	10.3465i	−0.631230	+	0.364441i
$807$	20.6714	+	40.3220i	0.727667	+	1.41940i
$808$	−3.32426	−	1.55013i	−0.116947	−	0.0545334i
$809$	−20.0710	−	34.7640i	−0.705660	−	1.22224i	−0.966453	−	0.256844i	$-0.917317\pi$
$809$	−20.0710	−	34.7640i	−0.705660	−	1.22224i	0.260793	−	0.965395i	$-0.416016\pi$
$810$	19.3649	−	5.47734i	0.680413	−	0.192454i
$811$	−5.60167	+	31.7687i	−0.196701	+	1.11555i	0.713274	+	0.700886i	$0.247212\pi$
$811$	−5.60167	+	31.7687i	−0.196701	+	1.11555i	−0.909975	+	0.414663i	$0.863899\pi$
$812$	15.8650	+	1.38801i	0.556752	+	0.0487095i
$813$	−7.41291	+	11.4772i	−0.259982	+	0.402523i
$814$	−0.910568	+	0.160558i	−0.0319154	+	0.00562754i
$815$	−2.05988	+	42.4854i	−0.0721543	+	1.48820i
$816$	−6.88560	+	8.85844i	−0.241044	+	0.310107i
$817$	33.4247	+	1.12149i	1.16938	+	0.0392360i
$818$	10.8427	−	10.8427i	0.379106	−	0.379106i
$819$	18.5585	+	1.85741i	0.648485	+	0.0649030i
$820$	−1.28197	+	3.99868i	−0.0447684	+	0.139640i
$821$	−33.6021	+	40.0454i	−1.17272	+	1.39760i	−0.272505	+	0.962154i	$0.587852\pi$
$821$	−33.6021	+	40.0454i	−1.17272	+	1.39760i	−0.900217	+	0.435441i	$0.856592\pi$
$822$	−14.4257	+	15.5469i	−0.503153	+	0.542259i
$823$	−29.2614	+	20.4891i	−1.01999	+	0.714204i	−0.958847	−	0.283925i	$-0.908363\pi$
$823$	−29.2614	+	20.4891i	−1.01999	+	0.714204i	−0.0611428	+	0.998129i	$0.519475\pi$
$824$	−3.04108	+	5.26731i	−0.105941	+	0.183496i
$825$	−3.91450	+	11.7611i	−0.136285	+	0.409468i
$826$	−7.14063	+	2.59898i	−0.248454	+	0.0904300i
$827$	−10.7448	−	5.01037i	−0.373633	−	0.174228i	0.226726	−	0.973959i	$-0.427198\pi$
$827$	−10.7448	−	5.01037i	−0.373633	−	0.174228i	−0.600359	+	0.799731i	$0.704976\pi$
$828$	−0.188060	+	15.0616i	−0.00653552	+	0.523425i
$829$	−6.15188	−	3.55179i	−0.213663	−	0.123359i	0.389349	−	0.921090i	$-0.372700\pi$
$829$	−6.15188	−	3.55179i	−0.213663	−	0.123359i	−0.603013	+	0.797731i	$0.706033\pi$
$830$	12.5579	−	16.2037i	0.435892	−	0.562439i
$831$	49.3620	−	1.84653i	1.71235	−	0.0640555i
$832$	2.32560	−	0.203463i	0.0806256	−	0.00705382i
$833$	−0.490016	−	0.343113i	−0.0169780	−	0.0118882i
$834$	−18.2443	−	29.0362i	−0.631747	−	1.00544i
$835$	11.9750	+	38.6271i	0.414411	+	1.33674i
$836$	0.751867	−	6.19342i	0.0260039	−	0.214204i
$837$	−16.8261	−	42.8758i	−0.581595	−	1.48200i
$838$	3.14552	+	6.74559i	0.108660	+	0.233023i
$839$	3.38473	+	19.1957i	0.116854	+	0.662711i	0.985816	+	0.167832i	$0.0536765\pi$
$839$	3.38473	+	19.1957i	0.116854	+	0.662711i	−0.868962	+	0.494879i	$0.835212\pi$
$840$	5.05809	+	8.98893i	0.174521	+	0.310148i
$841$	5.17874	−	4.34548i	0.178577	−	0.149844i
$842$	20.7022	−	14.4958i	0.713443	−	0.499558i
$843$	−1.48154	+	3.51453i	−0.0510268	+	0.121047i
$844$	18.6564	−	10.7713i	0.642181	−	0.370763i
$845$	−2.28418	+	16.7275i	−0.0785783	+	0.575445i
$846$	8.28703	+	12.1553i	0.284914	+	0.417909i
$847$	−23.0265	−	6.16995i	−0.791202	−	0.212002i
$848$	−1.66945	−	6.23048i	−0.0573293	−	0.213956i
$849$	28.8514	+	31.8832i	0.990179	+	1.09423i
$850$	−8.68359	+	31.2029i	−0.297845	+	1.07025i
$851$	−2.08488	+	2.48466i	−0.0714687	+	0.0851730i
$852$	−19.5637	+	6.03439i	−0.670240	+	0.206735i
$853$	22.9777	+	49.2759i	0.786743	+	1.68718i	0.724661	+	0.689105i	$0.241996\pi$
$853$	22.9777	+	49.2759i	0.786743	+	1.68718i	0.0620818	+	0.998071i	$0.480226\pi$
$854$	4.02015			0.137567
$855$	−18.9563	+	22.2634i	−0.648291	+	0.761393i
$856$	−20.0227			−0.684362
$857$	13.5510	+	29.0603i	0.462895	+	0.992681i	0.989761	+	0.142733i	$0.0455890\pi$
$857$	13.5510	+	29.0603i	0.462895	+	0.992681i	−0.526866	+	0.849948i	$0.676633\pi$
$858$	−5.53027	+	1.70581i	−0.188800	+	0.0582352i
$859$	3.08442	−	3.67587i	0.105239	−	0.125419i	−0.710854	−	0.703340i	$-0.751691\pi$
$859$	3.08442	−	3.67587i	0.105239	−	0.125419i	0.816093	+	0.577921i	$0.196136\pi$
$860$	9.28754	−	14.4248i	0.316702	−	0.491883i
$861$	−5.81218	−	6.42292i	−0.198078	−	0.218892i
$862$	1.56481	+	5.83993i	0.0532975	+	0.198909i
$863$	−26.3598	−	7.06310i	−0.897299	−	0.240431i	−0.219443	−	0.975625i	$-0.570424\pi$
$863$	−26.3598	−	7.06310i	−0.897299	−	0.240431i	−0.677856	+	0.735195i	$0.737091\pi$
$864$	−0.323829	+	5.18605i	−0.0110169	+	0.176433i
$865$	−16.0853	+	12.2201i	−0.546916	+	0.415497i
$866$	−29.7200	+	17.1589i	−1.00993	+	0.583082i
$867$	16.7940	−	39.8389i	0.570353	−	1.35300i
$868$	19.3372	−	13.5401i	0.656348	−	0.459580i
$869$	10.6670	−	8.95064i	0.361852	−	0.303630i
$870$	22.3036	+	6.24132i	0.756163	+	0.211601i
$871$	2.73209	+	15.4944i	0.0925733	+	0.525009i
$872$	5.33393	+	11.4387i	0.180630	+	0.387362i
$873$	16.3427	−	27.5075i	0.553117	−	0.930987i
$874$	−11.9448	−	18.3385i	−0.404040	−	0.620310i
$875$	23.3578	+	18.4650i	0.789638	+	0.624231i
$876$	4.22445	+	6.72332i	0.142731	+	0.227160i
$877$	15.8854	+	11.1231i	0.536412	+	0.375600i	0.810166	−	0.586200i	$-0.199377\pi$
$877$	15.8854	+	11.1231i	0.536412	+	0.375600i	−0.273755	+	0.961800i	$0.588266\pi$
$878$	31.9985	−	2.79951i	1.07990	−	0.0944789i
$879$	−14.9393	+	0.558847i	−0.503889	+	0.0188494i
$880$	−2.52971	−	1.96053i	−0.0852764	−	0.0660894i
$881$	−32.5923	−	18.8172i	−1.09806	−	0.633967i	−0.162352	−	0.986733i	$-0.551908\pi$
$881$	−32.5923	−	18.8172i	−1.09806	−	0.633967i	−0.935712	+	0.352766i	$0.885241\pi$
$882$	−0.277019	−	0.00345888i	−0.00932771	−	0.000116466i
$883$	−7.60741	−	3.54739i	−0.256010	−	0.119379i	0.290377	−	0.956912i	$-0.406219\pi$
$883$	−7.60741	−	3.54739i	−0.256010	−	0.119379i	−0.546387	+	0.837533i	$0.683997\pi$
$884$	−14.2102	+	5.17208i	−0.477940	+	0.173956i
$885$	−10.9037	+	1.79855i	−0.366523	+	0.0604575i
$886$	−1.35803	+	2.35218i	−0.0456240	+	0.0790231i
$887$	10.8492	−	7.59672i	0.364282	−	0.255073i	−0.377077	−	0.926182i	$-0.623071\pi$
$887$	10.8492	−	7.59672i	0.364282	−	0.255073i	0.741359	+	0.671109i	$0.234182\pi$
$888$	−0.761053	+	0.820204i	−0.0255393	+	0.0275242i
$889$	4.86104	−	5.79316i	0.163034	−	0.194296i
$890$	28.5708	−	14.6987i	0.957695	−	0.492700i
$891$	−1.91944	−	12.7379i	−0.0643036	−	0.426735i
$892$	−0.425200	+	0.425200i	−0.0142367	+	0.0142367i
$893$	−19.8297	−	7.98022i	−0.663576	−	0.267048i
$894$	−6.85741	+	8.82217i	−0.229346	+	0.295057i
$895$	−35.4899	−	39.1067i	−1.18630	−	1.30719i
$896$	−2.62269	+	0.462450i	−0.0876178	+	0.0154494i
$897$	−11.0148	+	17.0539i	−0.367773	+	0.569413i
$898$	−38.2350	−	3.34513i	−1.27592	−	0.111629i
$899$	9.20461	−	52.2020i	0.306991	−	1.74103i
$900$	4.81740	+	14.2054i	0.160580	+	0.473512i
$901$	20.8916	+	36.1853i	0.696000	+	1.20551i
$902$	2.43603	+	1.13594i	0.0811111	+	0.0378227i
$903$	16.1454	+	31.4935i	0.537285	+	1.04804i
$904$	6.27664	−	3.62382i	0.208758	−	0.120526i
$905$	−37.5019	+	23.6384i	−1.24661	+	0.785766i
$906$	−2.52294	−	2.78805i	−0.0838191	−	0.0926268i
$907$	−0.365734	+	4.18036i	−0.0121440	+	0.138807i	−0.999846	−	0.0175407i	$-0.994416\pi$
$907$	−0.365734	+	4.18036i	−0.0121440	+	0.138807i	0.987702	+	0.156347i	$0.0499719\pi$
$908$	−13.0015	+	1.13749i	−0.431471	+	0.0377488i
$909$	10.0301	−	4.52551i	0.332677	−	0.150102i
$910$	−0.673228	+	13.8855i	−0.0223173	+	0.460299i
$911$			11.8995i			0.394247i	0.980379	+	0.197124i	$0.0631600\pi$
$911$			11.8995i			0.394247i	−0.980379	+	0.197124i	$0.936840\pi$
$912$	−3.80006	−	6.52377i	−0.125833	−	0.216023i
$913$	−9.27877	−	9.27877i	−0.307082	−	0.307082i
$914$	26.0572	+	9.48406i	0.861896	+	0.313705i
$915$	5.74607	+	1.07882i	0.189959	+	0.0356647i
$916$	−11.7264	−	9.83959i	−0.387450	−	0.325109i
$917$	−7.29250	−	0.638011i	−0.240820	−	0.0210690i
$918$	−6.66854	−	32.9921i	−0.220095	−	1.08890i
$919$	24.2112	+	13.9783i	0.798653	+	0.461103i	0.843000	−	0.537914i	$-0.180787\pi$
$919$	24.2112	+	13.9783i	0.798653	+	0.461103i	−0.0443467	+	0.999016i	$0.514121\pi$
$920$	−11.2186	+	0.435727i	−0.369868	+	0.0143655i
$921$	44.4701	+	14.3272i	1.46534	+	0.472096i
$922$	−14.6346	+	31.3841i	−0.481966	+	1.03358i
$923$	−26.6538	−	7.14185i	−0.877319	−	0.235077i
$924$	6.11525	−	2.48841i	0.201177	−	0.0818627i
$925$	−1.13389	+	3.02442i	−0.0372819	+	0.0994422i
$926$	23.0408	+	27.4589i	0.757166	+	0.902356i
$927$	−6.02612	−	17.2227i	−0.197924	−	0.565667i
$928$	−3.42999	+	4.89853i	−0.112595	+	0.160802i
$929$	−13.3032	−	4.84199i	−0.436465	−	0.158860i	0.114436	−	0.993431i	$-0.463494\pi$
$929$	−13.3032	−	4.84199i	−0.436465	−	0.158860i	−0.550902	+	0.834570i	$0.685716\pi$
$930$	31.2725	−	14.1638i	1.02547	−	0.464450i
$931$	0.337291	−	0.219695i	0.0110543	−	0.00720021i
$932$	−2.52806	−	2.52806i	−0.0828095	−	0.0828095i
$933$	3.53659	+	0.807239i	0.115783	+	0.0264278i
$934$	−8.57515	+	1.51203i	−0.280587	+	0.0494751i
$935$	19.1154	+	8.02585i	0.625139	+	0.262473i
$936$	−4.08832	+	5.68628i	−0.133631	+	0.185862i
$937$	−4.38960	−	6.26900i	−0.143402	−	0.204799i	0.741026	−	0.671477i	$-0.234340\pi$
$937$	−4.38960	−	6.26900i	−0.143402	−	0.204799i	−0.884428	+	0.466678i	$0.845451\pi$
$938$	−4.64543	−	17.3370i	−0.151679	−	0.566072i
$939$	−16.6671	−	2.30020i	−0.543909	−	0.0750642i
$940$	−8.73137	+	6.63329i	−0.284786	+	0.216354i
$941$	19.4172	+	53.3483i	0.632982	+	1.73910i	0.672723	+	0.739894i	$0.265125\pi$
$941$	19.4172	+	53.3483i	0.632982	+	1.73910i	−0.0397408	+	0.999210i	$0.512653\pi$
$942$	−25.5473	+	19.3510i	−0.832377	+	0.630489i
$943$	9.10759	−	2.44037i	0.296584	−	0.0794694i
$944$	0.495480	−	2.81001i	0.0161265	−	0.0914579i
$945$	−30.3379	−	6.08901i	−0.986893	−	0.198075i
$946$	−8.41240	−	7.05884i	−0.273511	−	0.229503i
$947$	0.681180	−	0.972827i	0.0221354	−	0.0316126i	−0.807932	−	0.589276i	$-0.799413\pi$
$947$	0.681180	−	0.972827i	0.0221354	−	0.0316126i	0.830067	+	0.557663i	$0.188302\pi$
$948$	3.74978	−	16.4281i	0.121787	−	0.533561i
$949$			10.7021i			0.347405i
$950$	−17.2969	−	13.2596i	−0.561186	−	0.430197i
$951$	0.945325	−	1.21618i	0.0306543	−	0.0394372i
$952$	15.6349	−	7.29066i	0.506729	−	0.236292i
$953$	31.5238	+	22.0732i	1.02116	+	0.715021i	0.959105	−	0.283051i	$-0.0913467\pi$
$953$	31.5238	+	22.0732i	1.02116	+	0.715021i	0.0620518	+	0.998073i	$0.480236\pi$
$954$	17.4343	+	8.39633i	0.564457	+	0.271841i
$955$	−7.81093	−	36.0532i	−0.252756	−	1.16665i
$956$	−2.48023	−	0.437331i	−0.0802162	−	0.0141443i
$957$	5.75864	−	13.6607i	0.186150	−	0.441589i
$958$	4.68167	−	17.4722i	0.151258	−	0.564502i
$959$	30.6431	−	11.1532i	0.989516	−	0.360154i
$960$	−3.87275	−	0.0428185i	−0.124992	−	0.00138196i
$961$	−23.7861	−	41.1987i	−0.767293	−	1.32899i
$962$	−1.45668	+	0.390316i	−0.0469653	+	0.0125843i
$963$	39.1826	−	45.5292i	1.26264	−	1.46716i
$964$	1.32565	+	1.57985i	0.0426963	+	0.0508835i
$965$	1.10219	−	2.62511i	0.0354808	−	0.0845054i
$966$	10.8221	−	20.4760i	0.348196	−	0.658804i
$967$	−38.8151	+	18.0998i	−1.24821	+	0.582050i	−0.930554	−	0.366156i	$-0.880674\pi$
$967$	−38.8151	+	18.0998i	−1.24821	+	0.582050i	−0.317657	+	0.948206i	$0.602896\pi$
$968$	6.32958	−	6.32958i	0.203441	−	0.203441i
$969$	34.7146	+	34.4483i	1.11519	+	1.10664i
$970$	21.1006	+	11.1137i	0.677498	+	0.356838i
$971$	15.2639	−	41.9372i	0.489841	−	1.34583i	−0.410982	−	0.911643i	$-0.634814\pi$
$971$	15.2639	−	41.9372i	0.489841	−	1.34583i	0.900824	−	0.434185i	$-0.142964\pi$
$972$	−11.1587	−	10.8850i	−0.357917	−	0.349135i
$973$	4.59542	+	52.5259i	0.147323	+	1.68390i
$974$	−7.06032	+	5.92431i	−0.226227	+	0.189827i
$975$	−4.68846	+	19.6660i	−0.150151	+	0.629817i
$976$	−0.754775	+	1.30731i	−0.0241598	+	0.0418460i
$977$	9.60895	−	35.8611i	0.307417	−	1.14730i	−0.623427	−	0.781882i	$-0.714260\pi$
$977$	9.60895	−	35.8611i	0.307417	−	1.14730i	0.930844	−	0.365416i	$-0.119073\pi$
$978$	29.3193	−	15.0308i	0.937529	−	0.480632i
$979$	−7.03410	−	19.3260i	−0.224811	−	0.617663i
$980$	−0.00801408	−	0.206338i	−0.000256000	−	0.00659123i
$981$	−36.4481	−	10.2556i	−1.16370	−	0.327437i
$982$	−12.3875	−	17.6912i	−0.395302	−	0.564550i
$983$	−1.92946	+	22.0538i	−0.0615401	+	0.703407i	0.901275	+	0.433247i	$0.142632\pi$
$983$	−1.92946	+	22.0538i	−0.0615401	+	0.703407i	−0.962815	+	0.270160i	$0.912923\pi$
$984$	3.17989	−	0.684165i	0.101371	−	0.0218104i
$985$	−6.94778	+	3.57439i	−0.221375	+	0.113889i
$986$	13.2488	−	36.4008i	0.421928	−	1.15924i
$987$	−2.81243	−	22.4444i	−0.0895206	−	0.714412i
$988$	0.341233	−	10.1700i	0.0108561	−	0.323552i
$989$	−38.5228			−1.22495
$990$	9.40840	−	1.91568i	0.299019	−	0.0608842i
$991$	−0.529476	−	3.00281i	−0.0168194	−	0.0953873i	0.975243	−	0.221138i	$-0.0709771\pi$
$991$	−0.529476	−	3.00281i	−0.0168194	−	0.0953873i	−0.992062	+	0.125751i	$0.959866\pi$
$992$	0.772557	+	8.83036i	0.0245287	+	0.280364i
$993$	−30.3883	−	28.1967i	−0.964343	−	0.894796i
$994$	31.0007	+	5.46625i	0.983281	+	0.173379i
$995$	−14.1570	−	22.4598i	−0.448806	−	0.712024i
$996$	−15.7304	−	2.17093i	−0.498435	−	0.0687884i
$997$	8.55927	−	18.3554i	0.271075	−	0.581322i	−0.722897	−	0.690956i	$-0.757190\pi$
$997$	8.55927	−	18.3554i	0.271075	−	0.581322i	0.993972	+	0.109634i	$0.0349677\pi$
$998$	14.0937	−	30.2241i	0.446129	−	0.956726i
$999$	−0.375737	−	3.33560i	−0.0118878	−	0.105534i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.23.22	yes	480
3.2	odd	2	inner	570.2.bi.a.23.11	✓	480
5.2	odd	4	inner	570.2.bi.a.137.12	yes	480
15.2	even	4	inner	570.2.bi.a.137.39	yes	480
19.5	even	9	inner	570.2.bi.a.233.39	yes	480
57.5	odd	18	inner	570.2.bi.a.233.12	yes	480
95.62	odd	36	inner	570.2.bi.a.347.11	yes	480
285.62	even	36	inner	570.2.bi.a.347.22	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.23.11	✓	480	3.2	odd	2	inner
570.2.bi.a.23.22	yes	480	1.1	even	1	trivial
570.2.bi.a.137.12	yes	480	5.2	odd	4	inner
570.2.bi.a.137.39	yes	480	15.2	even	4	inner
570.2.bi.a.233.12	yes	480	57.5	odd	18	inner
570.2.bi.a.233.39	yes	480	19.5	even	9	inner
570.2.bi.a.347.11	yes	480	95.62	odd	36	inner
570.2.bi.a.347.22	yes	480	285.62	even	36	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.422618 + 0.906308i) q^{2} +(-1.65511 + 0.510515i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(2.18537 - 0.473461i) q^{5} +(-1.16216 - 1.28428i) q^{6} +(0.689273 + 2.57240i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(2.47875 - 1.68991i) q^{9} +O(q^{10})\)	\(q+(0.422618 + 0.906308i) q^{2} +(-1.65511 + 0.510515i) q^{3} +(-0.642788 + 0.766044i) q^{4} +(2.18537 - 0.473461i) q^{5} +(-1.16216 - 1.28428i) q^{6} +(0.689273 + 2.57240i) q^{7} +(-0.965926 - 0.258819i) q^{8} +(2.47875 - 1.68991i) q^{9} +(1.35268 + 1.78052i) q^{10} +(1.23954 - 0.715650i) q^{11} +(0.672804 - 1.59604i) q^{12} +(1.91229 - 1.33900i) q^{13} +(-2.04009 + 1.71184i) q^{14} +(-3.37531 + 1.89929i) q^{15} +(-0.173648 - 0.984808i) q^{16} +(2.73761 + 5.87083i) q^{17} +(2.57915 + 1.53232i) q^{18} +(-4.35261 + 0.234075i) q^{19} +(-1.04204 + 1.97842i) q^{20} +(-2.45407 - 3.90571i) q^{21} +(1.17245 + 0.820960i) q^{22} +(5.00180 - 0.437601i) q^{23} +(1.73084 - 0.0647472i) q^{24} +(4.55167 - 2.06937i) q^{25} +(2.02172 + 1.16724i) q^{26} +(-3.23986 + 4.06242i) q^{27} +(-2.41363 - 1.12549i) q^{28} +(-5.61936 + 2.04528i) q^{29} +(-3.14781 - 2.25639i) q^{30} +(-4.43205 + 7.67653i) q^{31} +(0.819152 - 0.573576i) q^{32} +(-1.68622 + 1.81728i) q^{33} +(-4.16381 + 4.96224i) q^{34} +(2.72425 + 5.29530i) q^{35} +(-0.298760 + 2.98509i) q^{36} +(-0.456789 + 0.456789i) q^{37} +(-2.05164 - 3.84588i) q^{38} +(-2.48147 + 3.19245i) q^{39} +(-2.23344 - 0.108287i) q^{40} +(1.84939 - 0.326097i) q^{41} +(2.50264 - 3.87477i) q^{42} +(-7.64327 - 0.668700i) q^{43} +(-0.248543 + 1.40955i) q^{44} +(4.61687 - 4.86667i) q^{45} +(2.51046 + 4.34824i) q^{46} +(4.44437 + 2.07244i) q^{47} +(0.790166 + 1.54131i) q^{48} +(-0.0799747 + 0.0461734i) q^{49} +(3.79911 + 3.25066i) q^{50} +(-7.52819 - 8.31925i) q^{51} +(-0.203463 + 2.32560i) q^{52} +(6.42573 - 0.562178i) q^{53} +(-5.05103 - 1.21946i) q^{54} +(2.37002 - 2.15083i) q^{55} -2.66315i q^{56} +(7.08453 - 2.60949i) q^{57} +(-4.22850 - 4.22850i) q^{58} +(2.68128 + 0.975905i) q^{59} +(0.714663 - 3.80648i) q^{60} +(-1.15638 - 0.970321i) q^{61} +(-8.83036 - 0.772557i) q^{62} +(6.05567 + 5.21152i) q^{63} +(0.866025 + 0.500000i) q^{64} +(3.54510 - 3.83161i) q^{65} +(-2.35964 - 0.760220i) q^{66} +(-2.84828 + 6.10816i) q^{67} +(-6.25702 - 1.67656i) q^{68} +(-8.05511 + 3.27777i) q^{69} +(-3.64786 + 4.70690i) q^{70} +(-7.59787 - 9.05479i) q^{71} +(-2.83167 + 0.990784i) q^{72} +(-2.62948 + 3.75529i) q^{73} +(-0.607038 - 0.220944i) q^{74} +(-6.47705 + 5.74873i) q^{75} +(2.61849 - 3.48475i) q^{76} +(2.69532 + 2.69532i) q^{77} +(-3.94205 - 0.899787i) q^{78} +(9.58093 - 1.68938i) q^{79} +(-0.845753 - 2.06995i) q^{80} +(3.28838 - 8.37774i) q^{81} +(1.07713 + 1.53830i) q^{82} +(-2.37285 - 8.85561i) q^{83} +(4.56939 + 0.630616i) q^{84} +(8.76230 + 11.5338i) q^{85} +(-2.62414 - 7.20976i) q^{86} +(8.25648 - 6.25392i) q^{87} +(-1.38253 + 0.370448i) q^{88} +(2.49515 - 14.1507i) q^{89} +(6.36188 + 2.12756i) q^{90} +(4.76255 + 3.99625i) q^{91} +(-2.87988 + 4.11289i) q^{92} +(3.41652 - 14.9681i) q^{93} +4.90382i q^{94} +(-9.40123 + 2.57233i) q^{95} +(-1.06296 + 1.36752i) q^{96} +(9.66608 - 4.50737i) q^{97} +(-0.0756461 - 0.0529680i) q^{98} +(1.86313 - 3.86863i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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