LMFDB - Embedded newform 462.2.w.a.281.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			281.10
Character	$\chi$	$=$	462.281
Dual form			462.2.w.a.365.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(1.23159 - 1.21786i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.20361 + 0.391077i) q^{5} +(1.53884 + 0.794973i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.0336340 - 2.99981i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(1.23159 - 1.21786i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.20361 + 0.391077i) q^{5} +(1.53884 + 0.794973i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.0336340 - 2.99981i) q^{9} +1.26555i q^{10} +(3.11275 + 1.14489i) q^{11} +(-0.280538 + 1.70918i) q^{12} +(-0.142725 + 0.0463742i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(1.95863 - 0.984183i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.379364 + 1.16756i) q^{17} +(2.86338 - 0.895005i) q^{18} +(2.43237 - 3.34788i) q^{19} +(-1.20361 + 0.391077i) q^{20} +(1.70918 + 0.280538i) q^{21} +(-0.126956 + 3.31419i) q^{22} +7.98930i q^{23} +(-1.71222 + 0.261358i) q^{24} +(-2.74935 - 1.99752i) q^{25} +(-0.0882090 - 0.121409i) q^{26} +(-3.61193 - 3.73550i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(4.28495 - 3.11320i) q^{29} +(1.54126 + 1.55864i) q^{30} +(-1.38692 - 4.26849i) q^{31} +1.00000 q^{32} +(5.22795 - 2.38087i) q^{33} -1.22765 q^{34} +(0.391077 + 1.20361i) q^{35} +(1.73603 + 2.44667i) q^{36} +(-6.04544 + 4.39227i) q^{37} +(3.93566 + 1.27878i) q^{38} +(-0.119302 + 0.230933i) q^{39} +(-0.743872 - 1.02385i) q^{40} +(7.89214 + 5.73398i) q^{41} +(0.261358 + 1.71222i) q^{42} -4.38794i q^{43} +(-3.19122 + 0.903399i) q^{44} +(1.21364 - 3.59745i) q^{45} +(-7.59828 + 2.46883i) q^{46} +(-1.64278 + 2.26109i) q^{47} +(-0.777671 - 1.54765i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(1.05016 - 3.23205i) q^{50} +(0.954706 + 1.89997i) q^{51} +(0.0882090 - 0.121409i) q^{52} +(-5.52399 + 1.79485i) q^{53} +(2.43653 - 4.58948i) q^{54} +(3.29881 + 2.59532i) q^{55} -1.00000i q^{56} +(-1.08155 - 7.08551i) q^{57} +(4.28495 + 3.11320i) q^{58} +(-8.64390 - 11.8973i) q^{59} +(-1.00608 + 1.94748i) q^{60} +(-2.40987 - 0.783013i) q^{61} +(3.63099 - 2.63807i) q^{62} +(2.44667 - 1.73603i) q^{63} +(0.309017 + 0.951057i) q^{64} -0.189921 q^{65} +(3.87987 + 4.23635i) q^{66} -12.1494 q^{67} +(-0.379364 - 1.16756i) q^{68} +(9.72985 + 9.83955i) q^{69} +(-1.02385 + 0.743872i) q^{70} +(-5.97482 - 1.94134i) q^{71} +(-1.79046 + 2.40713i) q^{72} +(6.32399 + 8.70422i) q^{73} +(-6.04544 - 4.39227i) q^{74} +(-5.81877 + 0.888195i) q^{75} +4.13820i q^{76} +(0.903399 + 3.19122i) q^{77} +(-0.256497 - 0.0421004i) q^{78} +(-10.3548 + 3.36448i) q^{79} +(0.743872 - 1.02385i) q^{80} +(-8.99774 - 0.201791i) q^{81} +(-3.01453 + 9.27777i) q^{82} +(-3.01551 + 9.28079i) q^{83} +(-1.54765 + 0.777671i) q^{84} +(-0.913213 + 1.25693i) q^{85} +(4.17318 - 1.35595i) q^{86} +(1.48587 - 9.05266i) q^{87} +(-1.84532 - 2.75586i) q^{88} +1.07013i q^{89} +(3.79642 + 0.0425656i) q^{90} +(-0.121409 - 0.0882090i) q^{91} +(-4.69599 - 6.46348i) q^{92} +(-6.90654 - 3.56796i) q^{93} +(-2.65807 - 0.863658i) q^{94} +(4.23691 - 3.07830i) q^{95} +(1.23159 - 1.21786i) q^{96} +(-3.06249 - 9.42539i) q^{97} -1.00000 q^{98} +(3.53913 - 9.29917i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	$ 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) $ 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	1.23159	−	1.21786i	0.711060	−	0.703132i
$3$	1.23159	−	1.21786i	0.711060	−	0.703132i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	1.20361	+	0.391077i	0.538271	+	0.174895i	0.565521	−	0.824734i	$-0.308675\pi$
$5$	1.20361	+	0.391077i	0.538271	+	0.174895i	−0.0272501	+	0.999629i	$0.508675\pi$
$6$	1.53884	+	0.794973i	0.628227	+	0.324547i
$7$	0.587785	+	0.809017i	0.222162	+	0.305780i
$7$	0.587785	+	0.809017i	0.222162	+	0.305780i
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	0.0336340	−	2.99981i	0.0112113	−	0.999937i
$10$			1.26555i			0.400202i
$11$	3.11275	+	1.14489i	0.938531	+	0.345196i
$11$	3.11275	+	1.14489i	0.938531	+	0.345196i
$12$	−0.280538	+	1.70918i	−0.0809844	+	0.493398i
$13$	−0.142725	+	0.0463742i	−0.0395848	+	0.0128619i	−0.328742	−	0.944420i	$-0.606625\pi$
$13$	−0.142725	+	0.0463742i	−0.0395848	+	0.0128619i	0.289158	+	0.957281i	$0.406625\pi$
$14$	−0.587785	+	0.809017i	−0.157092	+	0.216219i
$15$	1.95863	−	0.984183i	0.505717	−	0.254115i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−0.379364	+	1.16756i	−0.0920093	+	0.283176i	−0.986463	−	0.163986i	$-0.947565\pi$
$17$	−0.379364	+	1.16756i	−0.0920093	+	0.283176i	0.894453	+	0.447161i	$0.147565\pi$
$18$	2.86338	−	0.895005i	0.674906	−	0.210955i
$19$	2.43237	−	3.34788i	0.558025	−	0.768056i	−0.433049	−	0.901371i	$-0.642562\pi$
$19$	2.43237	−	3.34788i	0.558025	−	0.768056i	0.991074	+	0.133315i	$0.0425622\pi$
$20$	−1.20361	+	0.391077i	−0.269136	+	0.0874475i
$21$	1.70918	+	0.280538i	0.372974	+	0.0612184i
$22$	−0.126956	+	3.31419i	−0.0270672	+	0.706589i
$23$			7.98930i			1.66588i	0.553360	+	0.832942i	$0.313345\pi$
$23$			7.98930i			1.66588i	−0.553360	+	0.832942i	$0.686655\pi$
$24$	−1.71222	+	0.261358i	−0.349505	+	0.0533495i
$25$	−2.74935	−	1.99752i	−0.549869	−	0.399503i
$26$	−0.0882090	−	0.121409i	−0.0172992	−	0.0238103i
$27$	−3.61193	−	3.73550i	−0.695116	−	0.718898i
$28$	−0.951057	−	0.309017i	−0.179733	−	0.0583987i
$29$	4.28495	−	3.11320i	0.795695	−	0.578106i	−0.113953	−	0.993486i	$-0.536351\pi$
$29$	4.28495	−	3.11320i	0.795695	−	0.578106i	0.909648	+	0.415380i	$0.136351\pi$
$30$	1.54126	+	1.55864i	0.281395	+	0.284568i
$31$	−1.38692	−	4.26849i	−0.249097	−	0.766643i	−0.994935	−	0.100516i	$-0.967951\pi$
$31$	−1.38692	−	4.26849i	−0.249097	−	0.766643i	0.745838	−	0.666127i	$-0.232049\pi$
$32$	1.00000			0.176777
$33$	5.22795	−	2.38087i	0.910069	−	0.414456i
$34$	−1.22765			−0.210540
$35$	0.391077	+	1.20361i	0.0661041	+	0.203447i
$36$	1.73603	+	2.44667i	0.289339	+	0.407778i
$37$	−6.04544	+	4.39227i	−0.993864	+	0.722085i	−0.960764	−	0.277368i	$-0.910538\pi$
$37$	−6.04544	+	4.39227i	−0.993864	+	0.722085i	−0.0331002	+	0.999452i	$0.510538\pi$
$38$	3.93566	+	1.27878i	0.638449	+	0.207445i
$39$	−0.119302	+	0.230933i	−0.0191036	+	0.0369789i
$40$	−0.743872	−	1.02385i	−0.117617	−	0.161885i
$41$	7.89214	+	5.73398i	1.23255	+	0.895496i	0.997078	−	0.0763859i	$-0.0243381\pi$
$41$	7.89214	+	5.73398i	1.23255	+	0.895496i	0.235467	+	0.971882i	$0.424338\pi$
$42$	0.261358	+	1.71222i	0.0403285	+	0.264201i
$43$		−	4.38794i		−	0.669154i	−0.942368	−	0.334577i	$-0.891407\pi$
$43$		−	4.38794i		−	0.669154i	0.942368	−	0.334577i	$-0.108593\pi$
$44$	−3.19122	+	0.903399i	−0.481094	+	0.136193i
$45$	1.21364	−	3.59745i	0.180919	−	0.536277i
$46$	−7.59828	+	2.46883i	−1.12030	+	0.364009i
$47$	−1.64278	+	2.26109i	−0.239623	+	0.329813i	−0.911843	−	0.410538i	$-0.865341\pi$
$47$	−1.64278	+	2.26109i	−0.239623	+	0.329813i	0.672220	+	0.740351i	$0.265341\pi$
$48$	−0.777671	−	1.54765i	−0.112247	−	0.223384i
$49$	−0.309017	+	0.951057i	−0.0441453	+	0.135865i
$50$	1.05016	−	3.23205i	0.148515	−	0.457081i
$51$	0.954706	+	1.89997i	0.133686	+	0.266049i
$52$	0.0882090	−	0.121409i	0.0122324	−	0.0168364i
$53$	−5.52399	+	1.79485i	−0.758779	+	0.246542i	−0.662755	−	0.748837i	$-0.730613\pi$
$53$	−5.52399	+	1.79485i	−0.758779	+	0.246542i	−0.0960245	+	0.995379i	$0.530613\pi$
$54$	2.43653	−	4.58948i	0.331569	−	0.624549i
$55$	3.29881	+	2.59532i	0.444811	+	0.349953i
$56$		−	1.00000i		−	0.133631i
$57$	−1.08155	−	7.08551i	−0.143255	−	0.938498i
$58$	4.28495	+	3.11320i	0.562641	+	0.408783i
$59$	−8.64390	−	11.8973i	−1.12534	−	1.54890i	−0.796632	−	0.604465i	$-0.793387\pi$
$59$	−8.64390	−	11.8973i	−1.12534	−	1.54890i	−0.328708	−	0.944432i	$-0.606613\pi$
$60$	−1.00608	+	1.94748i	−0.129884	+	0.251418i
$61$	−2.40987	−	0.783013i	−0.308552	−	0.100255i	0.150648	−	0.988587i	$-0.451864\pi$
$61$	−2.40987	−	0.783013i	−0.308552	−	0.100255i	−0.459200	+	0.888333i	$0.651864\pi$
$62$	3.63099	−	2.63807i	0.461137	−	0.335035i
$63$	2.44667	−	1.73603i	0.308251	−	0.218720i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−0.189921			−0.0235569
$66$	3.87987	+	4.23635i	0.477578	+	0.521458i
$67$	−12.1494			−1.48428			−0.742142	−	0.670242i	$-0.766190\pi$
$67$	−12.1494			−1.48428			−0.742142	+	0.670242i	$0.766190\pi$
$68$	−0.379364	−	1.16756i	−0.0460047	−	0.141588i
$69$	9.72985	+	9.83955i	1.17134	+	1.18454i
$70$	−1.02385	+	0.743872i	−0.122374	+	0.0889098i
$71$	−5.97482	−	1.94134i	−0.709081	−	0.230394i	−0.0677982	−	0.997699i	$-0.521597\pi$
$71$	−5.97482	−	1.94134i	−0.709081	−	0.230394i	−0.641283	+	0.767305i	$0.721597\pi$
$72$	−1.79046	+	2.40713i	−0.211007	+	0.283683i
$73$	6.32399	+	8.70422i	0.740166	+	1.01875i	0.998609	+	0.0527251i	$0.0167907\pi$
$73$	6.32399	+	8.70422i	0.740166	+	1.01875i	−0.258443	+	0.966027i	$0.583209\pi$
$74$	−6.04544	−	4.39227i	−0.702768	−	0.510591i
$75$	−5.81877	+	0.888195i	−0.671893	+	0.102560i
$76$			4.13820i			0.474684i
$77$	0.903399	+	3.19122i	0.102952	+	0.363673i
$78$	−0.256497	−	0.0421004i	−0.0290426	−	0.00476693i
$79$	−10.3548	+	3.36448i	−1.16501	+	0.378534i	−0.826777	−	0.562529i	$-0.809828\pi$
$79$	−10.3548	+	3.36448i	−1.16501	+	0.378534i	−0.338230	+	0.941063i	$0.609828\pi$
$80$	0.743872	−	1.02385i	0.0831675	−	0.114470i
$81$	−8.99774	−	0.201791i	−0.999749	−	0.0224213i
$82$	−3.01453	+	9.27777i	−0.332899	+	1.02456i
$83$	−3.01551	+	9.28079i	−0.330995	+	1.01870i	0.637666	+	0.770313i	$0.279900\pi$
$83$	−3.01551	+	9.28079i	−0.330995	+	1.01870i	−0.968661	+	0.248386i	$0.920100\pi$
$84$	−1.54765	+	0.777671i	−0.168863	+	0.0848509i
$85$	−0.913213	+	1.25693i	−0.0990519	+	0.136333i
$86$	4.17318	−	1.35595i	0.450005	−	0.146216i
$87$	1.48587	−	9.05266i	0.159302	−	0.970547i
$88$	−1.84532	−	2.75586i	−0.196712	−	0.293776i
$89$			1.07013i			0.113433i	0.998390	+	0.0567166i	$0.0180632\pi$
$89$			1.07013i			0.113433i	−0.998390	+	0.0567166i	$0.981937\pi$
$90$	3.79642	+	0.0425656i	0.400177	+	0.00448681i
$91$	−0.121409	−	0.0882090i	−0.0127271	−	0.00924681i
$92$	−4.69599	−	6.46348i	−0.489591	−	0.673864i
$93$	−6.90654	−	3.56796i	−0.716174	−	0.369981i
$94$	−2.65807	−	0.863658i	−0.274159	−	0.0890795i
$95$	4.23691	−	3.07830i	0.434698	−	0.315826i
$96$	1.23159	−	1.21786i	0.125699	−	0.124297i
$97$	−3.06249	−	9.42539i	−0.310949	−	0.957003i	−0.977390	−	0.211445i	$-0.932183\pi$
$97$	−3.06249	−	9.42539i	−0.310949	−	0.957003i	0.666441	−	0.745558i	$-0.267817\pi$
$98$	−1.00000			−0.101015
$99$	3.53913	−	9.29917i	0.355696	−	0.934602i
$100$	3.39838			0.339838
$101$	−0.471591	−	1.45141i	−0.0469250	−	0.144420i	0.924849	−	0.380335i	$-0.124191\pi$
$101$	−0.471591	−	1.45141i	−0.0469250	−	0.144420i	−0.971774	+	0.235915i	$0.924191\pi$
$102$	−1.51196	+	1.49510i	−0.149706	+	0.148037i
$103$	3.25945	−	2.36813i	0.321164	−	0.233339i	−0.415508	−	0.909589i	$-0.636396\pi$
$103$	3.25945	−	2.36813i	0.321164	−	0.233339i	0.736672	+	0.676250i	$0.236396\pi$
$104$	0.142725	+	0.0463742i	0.0139954	+	0.00454737i
$105$	1.94748	+	1.00608i	0.190054	+	0.0981833i
$106$	−3.41402	−	4.69899i	−0.331599	−	0.456406i
$107$	−2.67801	−	1.94569i	−0.258893	−	0.188097i	0.450766	−	0.892642i	$-0.351151\pi$
$107$	−2.67801	−	1.94569i	−0.258893	−	0.188097i	−0.709659	+	0.704545i	$0.751151\pi$
$108$	5.11778	+	0.899048i	0.492459	+	0.0865109i
$109$		−	1.95947i		−	0.187683i	−0.995587	−	0.0938414i	$-0.970085\pi$
$109$		−	1.95947i		−	0.187683i	0.995587	−	0.0938414i	$-0.0299147\pi$
$110$	−1.44891	+	3.93935i	−0.138148	+	0.375602i
$111$	−2.09634	+	12.7720i	−0.198976	+	1.21226i
$112$	0.951057	−	0.309017i	0.0898664	−	0.0291994i
$113$	10.7866	−	14.8465i	1.01472	−	1.39664i	0.0988740	−	0.995100i	$-0.468476\pi$
$113$	10.7866	−	14.8465i	1.01472	−	1.39664i	0.915843	−	0.401538i	$-0.131524\pi$
$114$	6.40450	−	3.21816i	0.599836	−	0.301408i
$115$	−3.12443	+	9.61601i	−0.291355	+	0.896697i
$116$	−1.63671	+	5.03726i	−0.151964	+	0.467698i
$117$	0.134313	+	0.429708i	0.0124173	+	0.0397265i
$118$	8.64390	−	11.8973i	0.795735	−	1.09524i
$119$	−1.16756	+	0.379364i	−0.107030	+	0.0347762i
$120$	−2.16306	−	0.355035i	−0.197459	−	0.0324101i
$121$	8.37848	+	7.12749i	0.761680	+	0.647954i
$122$		−	2.53388i		−	0.229407i
$123$	16.7031	−	2.54961i	1.50607	−	0.229890i
$124$	3.63099	+	2.63807i	0.326073	+	0.236906i
$125$	−6.24732	−	8.59870i	−0.558778	−	0.769091i
$126$	2.40713	+	1.79046i	0.214444	+	0.159506i
$127$	−9.83031	−	3.19406i	−0.872299	−	0.283427i	−0.161543	−	0.986866i	$-0.551647\pi$
$127$	−9.83031	−	3.19406i	−0.872299	−	0.283427i	−0.710756	+	0.703439i	$0.751647\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	−5.34389	−	5.40414i	−0.470503	−	0.475808i
$130$	−0.0586889	−	0.180626i	−0.00514736	−	0.0158419i
$131$	−3.13040			−0.273505			−0.136752	−	0.990605i	$-0.543666\pi$
$131$	−3.13040			−0.273505			−0.136752	+	0.990605i	$0.543666\pi$
$132$	−2.83006	+	4.99908i	−0.246325	+	0.435114i
$133$	4.13820			0.358828
$134$	−3.75437	−	11.5548i	−0.324328	−	0.998179i
$135$	−2.88649	−	5.90863i	−0.248429	−	0.508534i
$136$	0.993188	−	0.721593i	0.0851652	−	0.0618761i
$137$	0.810649	+	0.263396i	0.0692584	+	0.0225034i	0.343441	−	0.939174i	$-0.388407\pi$
$137$	0.810649	+	0.263396i	0.0692584	+	0.0225034i	−0.274183	+	0.961678i	$0.588407\pi$
$138$	−6.35128	+	12.2942i	−0.540657	+	1.04655i
$139$	−4.49572	−	6.18783i	−0.381322	−	0.524845i	0.574612	−	0.818426i	$-0.305153\pi$
$139$	−4.49572	−	6.18783i	−0.381322	−	0.524845i	−0.955934	+	0.293581i	$0.905153\pi$
$140$	−1.02385	−	0.743872i	−0.0865313	−	0.0628687i
$141$	0.730459	+	4.78540i	0.0615157	+	0.403004i
$142$		−	6.28230i		−	0.527199i
$143$	−0.497361	−	0.0190524i	−0.0415914	−	0.00159324i
$144$	−2.84260	−	0.958981i	−0.236883	−	0.0799150i
$145$	6.37491	−	2.07133i	0.529408	−	0.172015i
$146$	−6.32399	+	8.70422i	−0.523377	+	0.720366i
$147$	0.777671	+	1.54765i	0.0641412	+	0.127648i
$148$	2.30915	−	7.10684i	0.189811	−	0.584179i
$149$	−0.275104	+	0.846682i	−0.0225374	+	0.0693629i	−0.961693	−	0.274130i	$-0.911610\pi$
$149$	−0.275104	+	0.846682i	−0.0225374	+	0.0693629i	0.939155	+	0.343493i	$0.111610\pi$
$150$	−2.64282	−	5.25951i	−0.215785	−	0.429437i
$151$	8.56766	−	11.7924i	0.697227	−	0.959650i	−0.302752	−	0.953069i	$-0.597905\pi$
$151$	8.56766	−	11.7924i	0.697227	−	0.959650i	0.999978	−	0.00658065i	$-0.00209470\pi$
$152$	−3.93566	+	1.27878i	−0.319225	+	0.103722i
$153$	3.48971	+	1.17729i	0.282126	+	0.0951783i
$154$	−2.75586	+	1.84532i	−0.222074	+	0.148700i
$155$		−	5.67999i		−	0.456228i
$156$	−0.0392221	−	0.256953i	−0.00314028	−	0.0205727i
$157$	17.4409	+	12.6716i	1.39194	+	1.01130i	0.995650	+	0.0931775i	$0.0297024\pi$
$157$	17.4409	+	12.6716i	1.39194	+	1.01130i	0.396290	+	0.918126i	$0.370298\pi$
$158$	−6.39963	−	8.80833i	−0.509127	−	0.700753i
$159$	−4.61742	+	8.93798i	−0.366185	+	0.708828i
$160$	1.20361	+	0.391077i	0.0951538	+	0.0309173i
$161$	−6.46348	+	4.69599i	−0.509394	+	0.370096i
$162$	−2.58854	−	8.61971i	−0.203375	−	0.677229i
$163$	−2.92839	−	9.01266i	−0.229369	−	0.705926i	−0.997819	−	0.0660154i	$-0.978971\pi$
$163$	−2.92839	−	9.01266i	−0.229369	−	0.705926i	0.768449	−	0.639911i	$-0.221029\pi$
$164$	−9.75522			−0.761755
$165$	7.22352	−	0.821108i	0.562350	−	0.0639232i
$166$	−9.75840			−0.757399
$167$	3.49984	+	10.7714i	0.270826	+	0.833517i	0.990294	+	0.138991i	$0.0443859\pi$
$167$	3.49984	+	10.7714i	0.270826	+	0.833517i	−0.719468	+	0.694526i	$0.755614\pi$
$168$	−1.21786	−	1.23159i	−0.0939599	−	0.0950193i
$169$	−10.4990	+	7.62797i	−0.807615	+	0.586767i
$170$	−1.47761	−	0.480105i	−0.113328	−	0.0368224i
$171$	−9.96119	−	7.40927i	−0.761751	−	0.566601i
$172$	2.57916	+	3.54991i	0.196659	+	0.270678i
$173$	13.8568	+	10.0675i	1.05351	+	0.765420i	0.972877	−	0.231324i	$-0.0743057\pi$
$173$	13.8568	+	10.0675i	1.05351	+	0.765420i	0.0806333	+	0.996744i	$0.474306\pi$
$174$	9.06875	−	1.38428i	0.687500	−	0.104942i
$175$		−	3.39838i		−	0.256893i
$176$	2.05074	−	2.60662i	0.154581	−	0.196481i
$177$	−25.1350	−	4.12556i	−1.88926	−	0.310096i
$178$	−1.01775	+	0.330687i	−0.0762837	+	0.0247861i
$179$	−0.221144	+	0.304378i	−0.0165291	+	0.0227503i	−0.817202	−	0.576352i	$-0.804476\pi$
$179$	−0.221144	+	0.304378i	−0.0165291	+	0.0227503i	0.800672	+	0.599102i	$0.204476\pi$
$180$	1.13267	+	3.62376i	0.0844246	+	0.270099i
$181$	−5.34329	+	16.4450i	−0.397163	+	1.22234i	0.530100	+	0.847935i	$0.322154\pi$
$181$	−5.34329	+	16.4450i	−0.397163	+	1.22234i	−0.927264	+	0.374409i	$0.877846\pi$
$182$	0.0463742	−	0.142725i	0.00343749	−	0.0105795i
$183$	−3.92157	+	1.97053i	−0.289891	+	0.145666i
$184$	4.69599	−	6.46348i	0.346193	−	0.476494i
$185$	−8.99407	+	2.92235i	−0.661257	+	0.214856i
$186$	1.25910	−	7.67107i	0.0923216	−	0.562470i
$187$	−2.51759	+	3.20001i	−0.184105	+	0.234008i
$188$		−	2.79486i		−	0.203836i
$189$	0.899048	−	5.11778i	0.0653961	−	0.372264i
$190$	4.23691	+	3.07830i	0.307378	+	0.223323i
$191$	6.77637	+	9.32688i	0.490321	+	0.674869i	0.980447	−	0.196782i	$-0.0630492\pi$
$191$	6.77637	+	9.32688i	0.490321	+	0.674869i	−0.490126	+	0.871652i	$0.663049\pi$
$192$	1.53884	+	0.794973i	0.111056	+	0.0573723i
$193$	−10.3428	−	3.36058i	−0.744492	−	0.241900i	−0.0878823	−	0.996131i	$-0.528010\pi$
$193$	−10.3428	−	3.36058i	−0.744492	−	0.241900i	−0.656609	+	0.754231i	$0.728010\pi$
$194$	8.01771	−	5.82521i	0.575638	−	0.418226i
$195$	−0.233906	+	0.231298i	−0.0167503	+	0.0165636i
$196$	−0.309017	−	0.951057i	−0.0220726	−	0.0679326i
$197$	9.73907			0.693880			0.346940	−	0.937887i	$-0.387221\pi$
$197$	9.73907			0.693880			0.346940	+	0.937887i	$0.387221\pi$
$198$	9.93769	+	0.492315i	0.706241	+	0.0349873i
$199$	19.1382			1.35667			0.678337	−	0.734751i	$-0.262701\pi$
$199$	19.1382			1.35667			0.678337	+	0.734751i	$0.262701\pi$
$200$	1.05016	+	3.23205i	0.0742573	+	0.228541i
$201$	−14.9631	+	14.7963i	−1.05541	+	1.04365i
$202$	1.23464	−	0.897019i	0.0868690	−	0.0631141i
$203$	5.03726	+	1.63671i	0.353546	+	0.114874i
$204$	−1.88915	−	0.975947i	−0.132267	−	0.0683300i
$205$	7.25664	+	9.98791i	0.506826	+	0.697586i
$206$	3.25945	+	2.36813i	0.227097	+	0.164996i
$207$	23.9664	+	0.268712i	1.66578	+	0.0186768i
$208$			0.150070i			0.0104055i
$209$	11.4043	−	7.63633i	0.788853	−	0.528216i
$210$	−0.355035	+	2.16306i	−0.0244998	+	0.149265i
$211$	−0.412712	+	0.134098i	−0.0284122	+	0.00923169i	−0.323189	−	0.946335i	$-0.604755\pi$
$211$	−0.412712	+	0.134098i	−0.0284122	+	0.00923169i	0.294776	+	0.955566i	$0.404755\pi$
$212$	3.41402	−	4.69899i	0.234476	−	0.322728i
$213$	−9.72281	+	4.88556i	−0.666196	+	0.334753i
$214$	1.02291	−	3.14819i	0.0699246	−	0.215206i
$215$	1.71602	−	5.28137i	0.117032	−	0.360186i
$216$	0.726437	+	5.14512i	0.0494278	+	0.350081i
$217$	2.63807	−	3.63099i	0.179084	−	0.246488i
$218$	1.86356	−	0.605508i	0.126216	−	0.0410102i
$219$	18.3891	+	3.01831i	1.24262	+	0.203959i
$220$	−4.19428	−	0.160670i	−0.282778	−	0.0108324i
$221$		−	0.184233i		−	0.0123929i
$222$	−12.7947	+	1.95302i	−0.858723	+	0.131078i
$223$	−14.7261	−	10.6992i	−0.986136	−	0.716470i	−0.0270643	−	0.999634i	$-0.508616\pi$
$223$	−14.7261	−	10.6992i	−0.986136	−	0.716470i	−0.959071	+	0.283164i	$0.908616\pi$
$224$	0.587785	+	0.809017i	0.0392731	+	0.0540547i
$225$	−6.08465	+	8.18034i	−0.405643	+	0.545356i
$226$	17.4531	+	5.67084i	1.16096	+	0.377219i
$227$	15.9273	−	11.5718i	1.05713	−	0.768049i	0.0835737	−	0.996502i	$-0.473367\pi$
$227$	15.9273	−	11.5718i	1.05713	−	0.768049i	0.973555	+	0.228453i	$0.0733666\pi$
$228$	5.03975	+	5.09657i	0.333766	+	0.337529i
$229$	3.02746	+	9.31756i	0.200060	+	0.615722i	0.999880	+	0.0154820i	$0.00492827\pi$
$229$	3.02746	+	9.31756i	0.200060	+	0.615722i	−0.799820	+	0.600240i	$0.795072\pi$
$230$	−10.1109			−0.666691
$231$	4.99908	+	2.83006i	0.328915	+	0.186204i
$232$	−5.29649			−0.347732
$233$	9.31781	+	28.6773i	0.610430	+	1.87871i	0.453945	+	0.891030i	$0.350016\pi$
$233$	9.31781	+	28.6773i	0.610430	+	1.87871i	0.156485	+	0.987680i	$0.449984\pi$
$234$	−0.367172	+	0.260527i	−0.0240028	+	0.0170312i
$235$	−2.86152	+	2.07902i	−0.186665	+	0.135620i
$236$	13.9861	+	4.54436i	0.910419	+	0.295813i
$237$	−8.65543	+	16.7544i	−0.562231	+	1.08831i
$238$	−0.721593	−	0.993188i	−0.0467739	−	0.0643788i
$239$	−2.40266	−	1.74564i	−0.155415	−	0.112916i	0.507360	−	0.861734i	$-0.330621\pi$
$239$	−2.40266	−	1.74564i	−0.155415	−	0.112916i	−0.662775	+	0.748818i	$0.730621\pi$
$240$	−0.330762	−	2.16690i	−0.0213506	−	0.139873i
$241$		−	4.21213i		−	0.271327i	−0.990755	−	0.135664i	$-0.956683\pi$
$241$		−	4.21213i		−	0.271327i	0.990755	−	0.135664i	$-0.0433166\pi$
$242$	−4.18956	+	10.1709i	−0.269315	+	0.653812i
$243$	−11.3273	+	10.7095i	−0.726646	+	0.687012i
$244$	2.40987	−	0.783013i	0.154276	−	0.0501273i
$245$	−0.743872	+	1.02385i	−0.0475243	+	0.0654115i
$246$	7.58635	+	15.0977i	0.483688	+	0.962594i
$247$	−0.191906	+	0.590626i	−0.0122107	+	0.0375806i
$248$	−1.38692	+	4.26849i	−0.0880693	+	0.271049i
$249$	7.58882	+	15.1026i	0.480922	+	0.957089i
$250$	6.24732	−	8.59870i	0.395115	−	0.543830i
$251$	9.73610	−	3.16345i	0.614537	−	0.199675i	0.0148239	−	0.999890i	$-0.495281\pi$
$251$	9.73610	−	3.16345i	0.614537	−	0.199675i	0.599713	+	0.800215i	$0.295281\pi$
$252$	−0.958981	+	2.84260i	−0.0604101	+	0.179067i
$253$	−9.14683	+	24.8687i	−0.575056	+	1.56348i
$254$		−	10.3362i		−	0.648551i
$255$	0.406060	+	2.66019i	0.0254284	+	0.166588i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	16.0700	+	22.1184i	1.00242	+	1.37971i	0.923830	+	0.382803i	$0.125041\pi$
$257$	16.0700	+	22.1184i	1.00242	+	1.37971i	0.0785877	+	0.996907i	$0.474959\pi$
$258$	3.48829	−	6.75232i	0.217172	−	0.420381i
$259$	−7.10684	−	2.30915i	−0.441598	−	0.143484i
$260$	0.153650	−	0.111633i	0.00952895	−	0.00692319i
$261$	−9.19489	−	12.9588i	−0.569149	−	0.802127i
$262$	−0.967348	−	2.97719i	−0.0597630	−	0.183932i
$263$	−19.8950			−1.22678			−0.613391	−	0.789780i	$-0.710195\pi$
$263$	−19.8950			−1.22678			−0.613391	+	0.789780i	$0.710195\pi$
$264$	−5.62894	−	1.14675i	−0.346437	−	0.0705775i
$265$	−7.35067			−0.451548
$266$	1.27878	+	3.93566i	0.0784067	+	0.241311i
$267$	1.30326	+	1.31796i	0.0797585	+	0.0806578i
$268$	9.82907	−	7.14124i	0.600406	−	0.436220i
$269$	0.602463	+	0.195752i	0.0367328	+	0.0119352i	0.327326	−	0.944912i	$-0.393853\pi$
$269$	0.602463	+	0.195752i	0.0367328	+	0.0119352i	−0.290593	+	0.956847i	$0.593853\pi$
$270$	4.72747	−	4.57108i	0.287705	−	0.278187i
$271$	15.4216	+	21.2260i	0.936796	+	1.28939i	0.957149	+	0.289596i	$0.0935209\pi$
$271$	15.4216	+	21.2260i	0.936796	+	1.28939i	−0.0203534	+	0.999793i	$0.506479\pi$
$272$	0.993188	+	0.721593i	0.0602209	+	0.0437530i
$273$	−0.256953	+	0.0392221i	−0.0155515	+	0.00237383i
$274$			0.852366i			0.0514933i
$275$	−6.27111	−	9.36547i	−0.378162	−	0.564759i
$276$	−13.6552	−	2.24130i	−0.821944	−	0.134911i
$277$	26.8393	−	8.72062i	1.61262	−	0.523971i	0.642433	−	0.766342i	$-0.277925\pi$
$277$	26.8393	−	8.72062i	1.61262	−	0.523971i	0.970184	+	0.242371i	$0.0779250\pi$
$278$	4.49572	−	6.18783i	0.269635	−	0.371121i
$279$	−12.8513	+	4.01692i	−0.769388	+	0.240487i
$280$	0.391077	−	1.20361i	0.0233713	−	0.0719295i
$281$	1.44118	−	4.43549i	0.0859735	−	0.264599i	−0.898823	−	0.438312i	$-0.855576\pi$
$281$	1.44118	−	4.43549i	0.0859735	−	0.264599i	0.984796	+	0.173713i	$0.0555765\pi$
$282$	−4.32547	+	2.17348i	−0.257578	+	0.129429i
$283$	14.3709	−	19.7799i	0.854263	−	1.17579i	−0.128644	−	0.991691i	$-0.541063\pi$
$283$	14.3709	−	19.7799i	0.854263	−	1.17579i	0.982907	−	0.184101i	$-0.0589375\pi$
$284$	5.97482	−	1.94134i	0.354540	−	0.115197i
$285$	1.46921	−	8.95116i	0.0870284	−	0.530221i
$286$	−0.135573	−	0.478906i	−0.00801661	−	0.0283183i
$287$			9.75522i			0.575833i
$288$	0.0336340	−	2.99981i	0.00198190	−	0.176766i
$289$	12.5340	+	9.10649i	0.737294	+	0.535676i
$290$	3.93991	+	5.42282i	0.231360	+	0.318439i
$291$	−15.2505	−	7.87854i	−0.894003	−	0.461848i
$292$	−10.2324	−	3.32472i	−0.598807	−	0.194564i
$293$	5.76112	−	4.18570i	0.336568	−	0.244531i	−0.406644	−	0.913587i	$-0.633301\pi$
$293$	5.76112	−	4.18570i	0.336568	−	0.244531i	0.743212	+	0.669056i	$0.233301\pi$
$294$	−1.23159	+	1.21786i	−0.0718279	+	0.0710270i
$295$	−5.75113	−	17.7001i	−0.334844	−	1.03054i
$296$	7.47257			0.434335
$297$	−6.96632	−	15.7629i	−0.404227	−	0.914659i
$298$	−0.890254			−0.0515711
$299$	−0.370497	−	1.14027i	−0.0214264	−	0.0659437i
$300$	4.18541	−	4.13875i	0.241645	−	0.238951i
$301$	3.54991	−	2.57916i	0.204614	−	0.148661i
$302$	13.8628	+	4.50429i	0.797713	+	0.259193i
$303$	−2.34842	−	1.21321i	−0.134913	−	0.0696970i
$304$	−2.43237	−	3.34788i	−0.139506	−	0.192014i
$305$	−2.59432	−	1.88489i	−0.148551	−	0.107928i
$306$	−0.0412907	+	3.68271i	−0.00236043	+	0.210527i
$307$			25.5876i			1.46036i	0.683253	+	0.730181i	$0.260564\pi$
$307$			25.5876i			1.46036i	−0.683253	+	0.730181i	$0.739436\pi$
$308$	−2.60662	−	2.05074i	−0.148526	−	0.116852i
$309$	1.13026	−	6.88613i	0.0642984	−	0.391738i
$310$	5.40199	−	1.75521i	0.306813	−	0.0996894i
$311$	3.00067	−	4.13007i	0.170152	−	0.234195i	−0.715422	−	0.698693i	$-0.753765\pi$
$311$	3.00067	−	4.13007i	0.170152	−	0.234195i	0.885574	+	0.464498i	$0.153765\pi$
$312$	0.232256	−	0.116705i	0.0131489	−	0.00660713i
$313$	4.99132	−	15.3617i	0.282126	−	0.868294i	−0.705120	−	0.709088i	$-0.749107\pi$
$313$	4.99132	−	15.3617i	0.282126	−	0.868294i	0.987245	−	0.159206i	$-0.0508933\pi$
$314$	−6.66185	+	20.5031i	−0.375950	+	1.15705i
$315$	3.62376	−	1.13267i	0.204176	−	0.0638190i
$316$	6.39963	−	8.80833i	0.360007	−	0.495507i
$317$	−16.0129	+	5.20290i	−0.899372	+	0.292224i	−0.721978	−	0.691916i	$-0.756767\pi$
$317$	−16.0129	+	5.20290i	−0.899372	+	0.292224i	−0.177394	+	0.984140i	$0.556767\pi$
$318$	−9.92739	−	1.62944i	−0.556700	−	0.0913745i
$319$	16.9022	−	4.78485i	0.946344	−	0.267900i
$320$			1.26555i			0.0707465i
$321$	−5.66779	+	0.865148i	−0.316345	+	0.0482879i
$322$	−6.46348	−	4.69599i	−0.360196	−	0.261697i
$323$	2.98610	+	4.11001i	0.166151	+	0.228687i
$324$	7.39793	−	5.12548i	0.410996	−	0.284749i
$325$	0.485034	+	0.157597i	0.0269049	+	0.00874192i
$326$	7.66663	−	5.57013i	0.424615	−	0.308501i
$327$	−2.38636	−	2.41326i	−0.131966	−	0.133454i
$328$	−3.01453	−	9.27777i	−0.166450	−	0.512279i
$329$	−2.79486			−0.154085
$330$	3.01311	+	6.61624i	0.165866	+	0.364212i
$331$	−5.03168			−0.276566			−0.138283	−	0.990393i	$-0.544158\pi$
$331$	−5.03168			−0.276566			−0.138283	+	0.990393i	$0.544158\pi$
$332$	−3.01551	−	9.28079i	−0.165498	−	0.509349i
$333$	12.9726	+	18.2829i	0.710897	+	1.00190i
$334$	−9.16271	+	6.65710i	−0.501361	+	0.364260i
$335$	−14.6231	−	4.75135i	−0.798948	−	0.259594i
$336$	0.794973	−	1.53884i	0.0433694	−	0.0839504i
$337$	−13.2501	−	18.2372i	−0.721779	−	0.993444i	−0.999463	−	0.0327711i	$-0.989567\pi$
$337$	−13.2501	−	18.2372i	−0.721779	−	0.993444i	0.277684	−	0.960673i	$-0.410433\pi$
$338$	−10.4990	−	7.62797i	−0.571070	−	0.414907i
$339$	−4.79625	−	31.4213i	−0.260496	−	1.70657i
$340$		−	1.55365i		−	0.0842586i
$341$	0.569800	−	14.8746i	0.0308564	−	0.805506i
$342$	3.96846	−	11.7632i	0.214590	−	0.636083i
$343$	−0.951057	+	0.309017i	−0.0513522	+	0.0166853i
$344$	−2.57916	+	3.54991i	−0.139059	+	0.191399i
$345$	7.86293	+	15.6481i	0.423326	+	0.842466i
$346$	−5.29281	+	16.2896i	−0.284543	+	0.875734i
$347$	6.29845	−	19.3846i	0.338119	−	1.04062i	−0.627047	−	0.778982i	$-0.715736\pi$
$347$	6.29845	−	19.3846i	0.338119	−	1.04062i	0.965165	−	0.261641i	$-0.0842636\pi$
$348$	4.11893	+	8.19712i	0.220798	+	0.439412i
$349$	12.7756	−	17.5842i	0.683864	−	0.941259i	−0.316108	−	0.948723i	$-0.602376\pi$
$349$	12.7756	−	17.5842i	0.683864	−	0.941259i	0.999972	+	0.00746472i	$0.00237612\pi$
$350$	3.23205	−	1.05016i	0.172760	−	0.0561333i
$351$	0.688744	+	0.365650i	0.0367624	+	0.0195169i
$352$	3.11275	+	1.14489i	0.165910	+	0.0610226i
$353$			12.1839i			0.648486i	0.945974	+	0.324243i	$0.105110\pi$
$353$			12.1839i			0.648486i	−0.945974	+	0.324243i	$0.894890\pi$
$354$	−3.84350	−	25.1797i	−0.204280	−	1.33828i
$355$	−6.43215	−	4.67323i	−0.341383	−	0.248029i
$356$	−0.629005	−	0.865751i	−0.0333372	−	0.0458847i
$357$	−0.975947	+	1.88915i	−0.0516526	+	0.0999844i
$358$	−0.357818	−	0.116262i	−0.0189113	−	0.00614465i
$359$	−21.3205	+	15.4903i	−1.12526	+	0.817546i	−0.984997	−	0.172569i	$-0.944793\pi$
$359$	−21.3205	+	15.4903i	−1.12526	+	0.817546i	−0.140258	+	0.990115i	$0.544793\pi$
$360$	−3.09638	+	2.19704i	−0.163194	+	0.115794i
$361$	0.579492	+	1.78349i	0.0304996	+	0.0938681i
$362$	−17.2912			−0.908808
$363$	18.9991	−	1.42566i	0.997196	−	0.0748275i
$364$	0.150070			0.00786581
$365$	4.20760	+	12.9497i	0.220236	+	0.677816i
$366$	−3.08592	−	3.12071i	−0.161303	−	0.163122i
$367$	14.4897	−	10.5274i	0.756357	−	0.549525i	−0.141434	−	0.989948i	$-0.545171\pi$
$367$	14.4897	−	10.5274i	0.756357	−	0.549525i	0.897791	+	0.440422i	$0.145171\pi$
$368$	7.59828	+	2.46883i	0.396088	+	0.128697i
$369$	17.4663	−	23.4821i	0.909259	−	1.22243i
$370$	−5.55864	−	7.65081i	−0.288980	−	0.397747i
$371$	−4.69899	−	3.41402i	−0.243959	−	0.177247i
$372$	7.68470	−	1.17302i	0.398433	−	0.0608181i
$373$		−	11.2227i		−	0.581089i	−0.956862	−	0.290544i	$-0.906164\pi$
$373$		−	11.2227i		−	0.581089i	0.956862	−	0.290544i	$-0.0938364\pi$
$374$	−3.82137	−	1.40552i	−0.197598	−	0.0726775i
$375$	−18.1662	−	2.98172i	−0.938097	−	0.153975i
$376$	2.65807	−	0.863658i	0.137079	−	0.0445398i
$377$	−0.467198	+	0.643043i	−0.0240619	+	0.0331184i
$378$	5.14512	−	0.726437i	0.264637	−	0.0373639i
$379$	5.42840	−	16.7069i	0.278838	−	0.858176i	−0.709340	−	0.704867i	$-0.751007\pi$
$379$	5.42840	−	16.7069i	0.278838	−	0.858176i	0.988178	−	0.153310i	$-0.0489932\pi$
$380$	−1.61836	+	4.98079i	−0.0830199	+	0.255509i
$381$	−15.9968	+	8.03816i	−0.819543	+	0.411808i
$382$	−6.77637	+	9.32688i	−0.346709	+	0.477205i
$383$	−23.9018	+	7.76617i	−1.22133	+	0.396833i	−0.847565	−	0.530692i	$-0.821932\pi$
$383$	−23.9018	+	7.76617i	−1.22133	+	0.396833i	−0.373761	+	0.927525i	$0.621932\pi$
$384$	−0.280538	+	1.70918i	−0.0143162	+	0.0872213i
$385$	−0.160670	+	4.19428i	−0.00818850	+	0.213760i
$386$		−	10.8751i		−	0.553527i
$387$	−13.1630	−	0.147584i	−0.669112	−	0.00750211i
$388$	8.01771	+	5.82521i	0.407038	+	0.295730i
$389$	−6.53645	−	8.99665i	−0.331411	−	0.456148i	0.610497	−	0.792018i	$-0.290970\pi$
$389$	−6.53645	−	8.99665i	−0.331411	−	0.456148i	−0.941908	+	0.335870i	$0.890970\pi$
$390$	−0.292258	−	0.150982i	−0.0147991	−	0.00764530i
$391$	−9.32801	−	3.03085i	−0.471738	−	0.153277i
$392$	0.809017	−	0.587785i	0.0408615	−	0.0296876i
$393$	−3.85538	+	3.81239i	−0.194478	+	0.192310i
$394$	3.00954	+	9.26241i	0.151618	+	0.466633i
$395$	−13.7789			−0.693294
$396$	2.60269	+	9.60344i	0.130790	+	0.482591i
$397$	22.4138			1.12492			0.562459	−	0.826825i	$-0.309855\pi$
$397$	22.4138			1.12492			0.562459	+	0.826825i	$0.309855\pi$
$398$	5.91404	+	18.2015i	0.296444	+	0.912361i
$399$	5.09657	−	5.03975i	0.255148	−	0.252303i
$400$	−2.74935	+	1.99752i	−0.137467	+	0.0998759i
$401$	−5.07008	−	1.64737i	−0.253188	−	0.0822656i	0.179673	−	0.983726i	$-0.442496\pi$
$401$	−5.07008	−	1.64737i	−0.253188	−	0.0822656i	−0.432861	+	0.901461i	$0.642496\pi$
$402$	−18.6959	−	9.65845i	−0.932468	−	0.481720i
$403$	0.395896	+	0.544904i	0.0197210	+	0.0271436i
$404$	1.23464	+	0.897019i	0.0614257	+	0.0446284i
$405$	−10.7509	−	3.76169i	−0.534214	−	0.186920i
$406$			5.29649i			0.262860i
$407$	−23.8466	+	6.75072i	−1.18203	+	0.334621i
$408$	0.344402	−	2.09827i	0.0170504	−	0.103880i
$409$	−15.3374	+	4.98341i	−0.758384	+	0.246414i	−0.662585	−	0.748987i	$-0.730541\pi$
$409$	−15.3374	+	4.98341i	−0.758384	+	0.246414i	−0.0957990	+	0.995401i	$0.530541\pi$
$410$	−7.25664	+	9.98791i	−0.358380	+	0.493268i
$411$	1.31917	−	0.662861i	0.0650697	−	0.0326965i
$412$	−1.24500	+	3.83172i	−0.0613368	+	0.188775i
$413$	4.54436	−	13.9861i	0.223614	−	0.688212i
$414$	7.15046	+	22.8764i	0.351426	+	1.12432i
$415$	−7.25900	+	9.99116i	−0.356330	+	0.490447i
$416$	−0.142725	+	0.0463742i	−0.00699768	+	0.00227368i
$417$	−13.0728	−	2.14572i	−0.640177	−	0.105076i
$418$	10.7867	+	8.48640i	0.527595	+	0.415083i
$419$		−	18.7529i		−	0.916137i	−0.888917	−	0.458069i	$-0.848541\pi$
$419$		−	18.7529i		−	0.916137i	0.888917	−	0.458069i	$-0.151459\pi$
$420$	−2.16690	+	0.330762i	−0.105734	+	0.0161395i
$421$	6.14224	+	4.46260i	0.299355	+	0.217494i	0.727315	−	0.686304i	$-0.240768\pi$
$421$	6.14224	+	4.46260i	0.299355	+	0.217494i	−0.427961	+	0.903797i	$0.640768\pi$
$422$	−0.255070	−	0.351073i	−0.0124166	−	0.0170900i
$423$	6.72758	+	5.00407i	0.327106	+	0.243306i
$424$	5.52399	+	1.79485i	0.268269	+	0.0871659i
$425$	3.37523	−	2.45225i	0.163723	−	0.118952i
$426$	−7.65096	−	7.73722i	−0.370690	−	0.374870i
$427$	−0.783013	−	2.40987i	−0.0378927	−	0.116622i
$428$	3.31020			0.160005
$429$	−0.635749	+	0.582252i	−0.0306943	+	0.0281114i
$430$	5.55316			0.267797
$431$	7.03075	+	21.6384i	0.338659	+	1.04229i	0.964891	+	0.262649i	$0.0845963\pi$
$431$	7.03075	+	21.6384i	0.338659	+	1.04229i	−0.626232	+	0.779637i	$0.715404\pi$
$432$	−4.66882	+	2.28081i	−0.224629	+	0.109736i
$433$	8.15913	−	5.92796i	0.392103	−	0.284879i	−0.374214	−	0.927342i	$-0.622087\pi$
$433$	8.15913	−	5.92796i	0.392103	−	0.284879i	0.766317	+	0.642463i	$0.222087\pi$
$434$	4.26849	+	1.38692i	0.204894	+	0.0665741i
$435$	5.32869	−	10.3148i	0.255491	−	0.494556i
$436$	1.15175	+	1.58524i	0.0551586	+	0.0759193i
$437$	26.7472	+	19.4330i	1.27949	+	0.929605i
$438$	2.81196	+	18.4218i	0.134360	+	0.880226i
$439$			2.63248i			0.125641i	0.998025	+	0.0628206i	$0.0200096\pi$
$439$			2.63248i			0.125641i	−0.998025	+	0.0628206i	$0.979990\pi$
$440$	−1.14330	−	4.03865i	−0.0545046	−	0.192535i
$441$	2.84260	+	0.958981i	0.135362	+	0.0456657i
$442$	0.175216	−	0.0569312i	0.00833419	−	0.00270794i
$443$	11.9073	−	16.3890i	0.565733	−	0.778665i	−0.426308	−	0.904578i	$-0.640186\pi$
$443$	11.9073	−	16.3890i	0.565733	−	0.778665i	0.992041	+	0.125913i	$0.0401861\pi$
$444$	−5.81120	−	11.5649i	−0.275788	−	0.548848i
$445$	−0.418502	+	1.28802i	−0.0198389	+	0.0610578i
$446$	5.62489	−	17.3116i	0.266346	−	0.819729i
$447$	0.692325	+	1.37780i	0.0327459	+	0.0651679i
$448$	−0.587785	+	0.809017i	−0.0277702	+	0.0382225i
$449$	−24.5056	+	7.96236i	−1.15649	+	0.375767i	−0.823585	−	0.567193i	$-0.808030\pi$
$449$	−24.5056	+	7.96236i	−1.15649	+	0.375767i	−0.332907	+	0.942960i	$0.608030\pi$
$450$	−9.66022	−	3.25898i	−0.455387	−	0.153630i
$451$	18.0015	+	26.8840i	0.847660	+	1.26592i
$452$			18.3512i			0.863169i
$453$	−3.80961	−	24.9576i	−0.178991	−	1.17261i
$454$	15.9273	+	11.5718i	0.747503	+	0.543093i
$455$	−0.111633	−	0.153650i	−0.00523344	−	0.00720321i
$456$	−3.28976	+	6.36802i	−0.154057	+	0.298210i
$457$	−22.5834	−	7.33780i	−1.05641	−	0.343248i	−0.271228	−	0.962515i	$-0.587430\pi$
$457$	−22.5834	−	7.33780i	−1.05641	−	0.343248i	−0.785180	+	0.619268i	$0.787430\pi$
$458$	−7.92599	+	5.75857i	−0.370357	+	0.269080i
$459$	5.73167	−	2.80004i	0.267531	−	0.130694i
$460$	−3.12443	−	9.61601i	−0.145677	−	0.448349i
$461$	2.78562			0.129739			0.0648696	−	0.997894i	$-0.479337\pi$
$461$	2.78562			0.129739			0.0648696	+	0.997894i	$0.479337\pi$
$462$	−1.14675	+	5.62894i	−0.0533516	+	0.261882i
$463$	−2.99874			−0.139363			−0.0696816	−	0.997569i	$-0.522198\pi$
$463$	−2.99874			−0.139363			−0.0696816	+	0.997569i	$0.522198\pi$
$464$	−1.63671	−	5.03726i	−0.0759821	−	0.233849i
$465$	−6.91743	−	6.99543i	−0.320788	−	0.324405i
$466$	−24.3943	+	17.7235i	−1.13005	+	0.821026i
$467$	−5.15927	−	1.67635i	−0.238743	−	0.0775722i	0.187202	−	0.982321i	$-0.440058\pi$
$467$	−5.15927	−	1.67635i	−0.238743	−	0.0775722i	−0.425945	+	0.904749i	$0.640058\pi$
$468$	−0.361238	−	0.268694i	−0.0166982	−	0.0124204i
$469$	−7.14124	−	9.82907i	−0.329752	−	0.453864i
$470$	−2.86152	−	2.07902i	−0.131992	−	0.0958979i
$471$	36.9123	−	5.63441i	1.70083	−	0.259620i
$472$			14.7059i			0.676893i
$473$	5.02368	−	13.6586i	0.230989	−	0.628022i
$474$	−18.6090	−	3.05441i	−0.854742	−	0.140294i
$475$	−13.3749	+	4.34576i	−0.613682	+	0.199397i
$476$	0.721593	−	0.993188i	0.0330742	−	0.0455227i
$477$	5.19843	+	16.6313i	0.238020	+	0.761495i
$478$	0.917735	−	2.82450i	0.0419762	−	0.129190i
$479$	8.33856	−	25.6634i	0.380998	−	1.17259i	−0.558343	−	0.829610i	$-0.688563\pi$
$479$	8.33856	−	25.6634i	0.380998	−	1.17259i	0.939342	−	0.342983i	$-0.111437\pi$
$480$	1.95863	−	0.984183i	0.0893990	−	0.0449216i
$481$	0.659148	−	0.907240i	0.0300546	−	0.0413666i
$482$	4.00597	−	1.30162i	0.182467	−	0.0592872i
$483$	−2.24130	+	13.6552i	−0.101983	+	0.621331i
$484$	−10.9678	−	0.841517i	−0.498535	−	0.0382508i
$485$		−	12.5422i		−	0.569511i
$486$	−13.6856	−	7.46349i	−0.620793	−	0.338551i
$487$	14.1964	+	10.3143i	0.643299	+	0.467384i	0.860982	−	0.508636i	$-0.169850\pi$
$487$	14.1964	+	10.3143i	0.643299	+	0.467384i	−0.217683	+	0.976019i	$0.569850\pi$
$488$	1.48938	+	2.04995i	0.0674210	+	0.0927971i
$489$	−14.5827	−	7.53354i	−0.659454	−	0.340679i
$490$	−1.20361	−	0.391077i	−0.0543736	−	0.0176671i
$491$	−27.3069	+	19.8396i	−1.23234	+	0.895351i	−0.997064	−	0.0765768i	$-0.975601\pi$
$491$	−27.3069	+	19.8396i	−1.23234	+	0.895351i	−0.235281	+	0.971927i	$0.575601\pi$
$492$	−12.0144	+	11.8805i	−0.541653	+	0.535614i
$493$	2.00930	+	6.18398i	0.0904942	+	0.278513i
$494$	−0.621020			−0.0279410
$495$	7.89643	−	9.80851i	0.354918	−	0.440860i
$496$	−4.48815			−0.201524
$497$	−1.94134	−	5.97482i	−0.0870809	−	0.268007i
$498$	−12.0184	+	11.8844i	−0.538556	+	0.532551i
$499$	6.19831	−	4.50333i	0.277474	−	0.201597i	−0.440341	−	0.897831i	$-0.645142\pi$
$499$	6.19831	−	4.50333i	0.277474	−	0.201597i	0.717815	+	0.696234i	$0.245142\pi$
$500$	10.1084	+	3.28441i	0.452061	+	0.146883i
$501$	17.4284	+	9.00366i	0.778646	+	0.402254i
$502$	6.01724	+	8.28202i	0.268563	+	0.369645i
$503$	−7.37887	−	5.36106i	−0.329008	−	0.239038i	0.411002	−	0.911635i	$-0.365179\pi$
$503$	−7.37887	−	5.36106i	−0.329008	−	0.239038i	−0.740009	+	0.672596i	$0.765179\pi$
$504$	−2.99981	−	0.0336340i	−0.133622	−	0.00149818i
$505$		−	1.93136i		−	0.0859443i
$506$	−26.4781	−	1.01429i	−1.17709	−	0.0450908i
$507$	−3.64068	+	22.1809i	−0.161688	+	0.985086i
$508$	9.83031	−	3.19406i	0.436150	−	0.141714i
$509$	21.3108	−	29.3318i	0.944584	−	1.30011i	−0.00930679	−	0.999957i	$-0.502962\pi$
$509$	21.3108	−	29.3318i	0.944584	−	1.30011i	0.953891	−	0.300152i	$-0.0970375\pi$
$510$	−2.40451	+	1.20823i	−0.106474	+	0.0535013i
$511$	−3.32472	+	10.2324i	−0.147077	+	0.452656i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	−21.2916	+	3.00614i	−0.940045	+	0.132724i
$514$	−16.0700	+	22.1184i	−0.708816	+	0.975602i
$515$	4.84924	−	1.57561i	0.213683	−	0.0694298i
$516$	7.49978	+	1.23098i	0.330159	+	0.0541910i
$517$	−7.70224	+	5.15742i	−0.338744	+	0.226823i
$518$		−	7.47257i		−	0.328326i
$519$	29.3267	−	4.47652i	1.28730	−	0.196497i
$520$	0.153650	+	0.111633i	0.00673798	+	0.00489543i
$521$	−8.17594	−	11.2532i	−0.358194	−	0.493012i	0.591450	−	0.806342i	$-0.298556\pi$
$521$	−8.17594	−	11.2532i	−0.358194	−	0.493012i	−0.949645	+	0.313329i	$0.898556\pi$
$522$	9.48313	−	12.7493i	0.415065	−	0.558023i
$523$	10.1304	+	3.29157i	0.442971	+	0.143930i	0.522006	−	0.852942i	$-0.325184\pi$
$523$	10.1304	+	3.29157i	0.442971	+	0.143930i	−0.0790347	+	0.996872i	$0.525184\pi$
$524$	2.53255	−	1.84001i	0.110635	−	0.0803810i
$525$	−4.13875	−	4.18541i	−0.180630	−	0.182666i
$526$	−6.14791	−	18.9213i	−0.268062	−	0.825009i
$527$	5.50987			0.240014
$528$	−0.648815	−	5.70781i	−0.0282360	−	0.248400i
$529$	−40.8289			−1.77517
$530$	−2.27148	−	6.99090i	−0.0986668	−	0.303665i
$531$	−35.9804	+	25.5299i	−1.56142	+	1.10790i
$532$	−3.34788	+	2.43237i	−0.145149	+	0.105457i
$533$	−1.39232	−	0.452391i	−0.0603079	−	0.0195952i
$534$	−0.850723	+	1.64675i	−0.0368144	+	0.0712619i
$535$	−2.46237	−	3.38916i	−0.106457	−	0.146526i
$536$	9.82907	+	7.14124i	0.424551	+	0.308454i
$537$	0.0983314	+	0.644192i	0.00424331	+	0.0277989i
$538$			0.633467i			0.0273107i
$539$	−2.05074	+	2.60662i	−0.0883318	+	0.112275i
$540$	5.80822	+	3.08355i	0.249946	+	0.132695i
$541$	9.36982	−	3.04444i	0.402840	−	0.130891i	−0.100587	−	0.994928i	$-0.532072\pi$
$541$	9.36982	−	3.04444i	0.402840	−	0.130891i	0.503427	+	0.864038i	$0.332072\pi$
$542$	−15.4216	+	21.2260i	−0.662415	+	0.911735i
$543$	13.4469	+	26.7608i	0.577062	+	1.14842i
$544$	−0.379364	+	1.16756i	−0.0162651	+	0.0500588i
$545$	0.766302	−	2.35843i	0.0328248	−	0.101024i
$546$	−0.116705	−	0.232256i	−0.00499452	−	0.00993965i
$547$	0.276221	−	0.380186i	0.0118104	−	0.0162556i	−0.803071	−	0.595883i	$-0.796802\pi$
$547$	0.276221	−	0.380186i	0.0118104	−	0.0162556i	0.814881	+	0.579628i	$0.196802\pi$
$548$	−0.810649	+	0.263396i	−0.0346292	+	0.0112517i
$549$	−2.42994	+	7.20281i	−0.103708	+	0.307408i
$550$	6.96921	−	8.85827i	0.297168	−	0.377718i
$551$		−	21.9179i		−	0.933736i
$552$	−2.08807	−	13.6794i	−0.0888741	−	0.582235i
$553$	−8.80833	−	6.39963i	−0.374568	−	0.272140i
$554$	16.5876	+	22.8309i	0.704739	+	0.969991i
$555$	−7.51801	+	14.5527i	−0.319122	+	0.617726i
$556$	7.27423	+	2.36354i	0.308496	+	0.100236i
$557$	7.59992	−	5.52167i	0.322019	−	0.233961i	−0.415017	−	0.909813i	$-0.636225\pi$
$557$	7.59992	−	5.52167i	0.322019	−	0.233961i	0.737037	+	0.675853i	$0.236225\pi$
$558$	−7.79159	−	10.9810i	−0.329844	−	0.464864i
$559$	0.203487	+	0.626269i	0.00860659	+	0.0264883i
$560$	1.26555			0.0534793
$561$	0.796516	+	7.00718i	0.0336289	+	0.295843i
$562$	4.66375			0.196728
$563$	12.2573	+	37.7240i	0.516583	+	1.58988i	0.780383	+	0.625302i	$0.215024\pi$
$563$	12.2573	+	37.7240i	0.516583	+	1.58988i	−0.263800	+	0.964577i	$0.584976\pi$
$564$	−3.40374	−	3.44212i	−0.143323	−	0.144939i
$565$	18.7890	−	13.6510i	0.790457	−	0.574301i
$566$	23.2527	+	7.55524i	0.977382	+	0.317571i
$567$	−5.12548	−	7.39793i	−0.215250	−	0.310684i
$568$	3.69264	+	5.08249i	0.154940	+	0.213256i
$569$	−14.1470	−	10.2784i	−0.593073	−	0.430893i	0.250340	−	0.968158i	$-0.419458\pi$
$569$	−14.1470	−	10.2784i	−0.593073	−	0.430893i	−0.843414	+	0.537265i	$0.819458\pi$
$570$	8.96707	−	1.36876i	0.375589	−	0.0573311i
$571$		−	42.0315i		−	1.75896i	−0.475934	−	0.879481i	$-0.657890\pi$
$571$		−	42.0315i		−	1.75896i	0.475934	−	0.879481i	$-0.342110\pi$
$572$	0.413573	−	0.276928i	0.0172923	−	0.0115789i
$573$	19.7046	+	3.23423i	0.823170	+	0.135112i
$574$	−9.27777	+	3.01453i	−0.387247	+	0.125824i
$575$	15.9588	−	21.9654i	0.665527	−	0.916019i
$576$	2.86338	−	0.895005i	0.119308	−	0.0372919i
$577$	2.37227	−	7.30108i	0.0987587	−	0.303948i	−0.889456	−	0.457020i	$-0.848917\pi$
$577$	2.37227	−	7.30108i	0.0987587	−	0.303948i	0.988215	+	0.153072i	$0.0489167\pi$
$578$	−4.78756	+	14.7346i	−0.199136	+	0.612879i
$579$	−16.8308	+	8.45723i	−0.699465	+	0.351470i
$580$	−3.93991	+	5.42282i	−0.163596	+	0.225171i
$581$	−9.28079	+	3.01551i	−0.385032	+	0.125104i
$582$	2.78026	−	16.9387i	0.115245	−	0.702133i
$583$	−19.2497	−	0.737398i	−0.797243	−	0.0305399i
$584$		−	10.7590i		−	0.445211i
$585$	−0.00638782	+	0.569728i	−0.000264104	+	0.0235554i
$586$	5.76112	+	4.18570i	0.237990	+	0.172910i
$587$	−23.2807	−	32.0431i	−0.960898	−	1.32256i	−0.946513	−	0.322666i	$-0.895421\pi$
$587$	−23.2807	−	32.0431i	−0.960898	−	1.32256i	−0.0143847	−	0.999897i	$-0.504579\pi$
$588$	−1.53884	−	0.794973i	−0.0634605	−	0.0327842i
$589$	−17.6639	−	5.73934i	−0.727827	−	0.236485i
$590$	15.0566	−	10.9393i	0.619872	−	0.450364i
$591$	11.9946	−	11.8608i	0.493390	−	0.487889i
$592$	2.30915	+	7.10684i	0.0949056	+	0.292089i
$593$	0.505509			0.0207588			0.0103794	−	0.999946i	$-0.496696\pi$
$593$	0.505509			0.0207588			0.0103794	+	0.999946i	$0.496696\pi$
$594$	12.8387	−	11.4964i	0.526780	−	0.471702i
$595$	−1.55365			−0.0636935
$596$	−0.275104	−	0.846682i	−0.0112687	−	0.0346815i
$597$	23.5705	−	23.3077i	0.964676	−	0.953920i
$598$	0.969975	−	0.704728i	0.0396652	−	0.0288185i
$599$	7.13291	+	2.31762i	0.291443	+	0.0946956i	0.451090	−	0.892479i	$-0.351035\pi$
$599$	7.13291	+	2.31762i	0.291443	+	0.0946956i	−0.159647	+	0.987174i	$0.551035\pi$
$600$	5.22955	+	2.70162i	0.213495	+	0.110293i
$601$	−25.9777	−	35.7552i	−1.05965	−	1.45849i	−0.880131	−	0.474732i	$-0.842545\pi$
$601$	−25.9777	−	35.7552i	−1.05965	−	1.45849i	−0.179521	−	0.983754i	$-0.557455\pi$
$602$	3.54991	+	2.57916i	0.144684	+	0.105119i
$603$	−0.408633	+	36.4459i	−0.0166408	+	1.48419i
$604$			14.5762i			0.593096i
$605$	7.29703	+	11.8554i	0.296666	+	0.481989i
$606$	0.428129	−	2.60838i	0.0173916	−	0.105958i
$607$	−11.3469	+	3.68682i	−0.460555	+	0.149643i	−0.530099	−	0.847936i	$-0.677845\pi$
$607$	−11.3469	+	3.68682i	−0.460555	+	0.149643i	0.0695446	+	0.997579i	$0.477845\pi$
$608$	2.43237	−	3.34788i	0.0986458	−	0.135774i
$609$	8.19712	−	4.11893i	0.332164	−	0.166907i
$610$	0.990943	−	3.04981i	0.0401221	−	0.123483i
$611$	0.129609	−	0.398896i	0.00524343	−	0.0161376i
$612$	−3.51523	+	1.09875i	−0.142095	+	0.0444144i
$613$	−23.1639	+	31.8824i	−0.935581	+	1.28772i	0.0220609	+	0.999757i	$0.492977\pi$
$613$	−23.1639	+	31.8824i	−0.935581	+	1.28772i	−0.957642	+	0.287961i	$0.907023\pi$
$614$	−24.3353	+	7.90701i	−0.982092	+	0.319101i
$615$	21.1011	+	3.46345i	0.850878	+	0.139660i
$616$	1.14489	−	3.11275i	0.0461287	−	0.125416i
$617$			14.7927i			0.595530i	0.954639	+	0.297765i	$0.0962412\pi$
$617$			14.7927i			0.595530i	−0.954639	+	0.297765i	$0.903759\pi$
$618$	6.89837	−	1.05299i	0.277493	−	0.0423574i
$619$	11.0014	+	7.99297i	0.442183	+	0.321264i	0.786502	−	0.617588i	$-0.211890\pi$
$619$	11.0014	+	7.99297i	0.442183	+	0.321264i	−0.344319	+	0.938853i	$0.611890\pi$
$620$	3.33861	+	4.59521i	0.134082	+	0.184548i
$621$	29.8441	−	28.8568i	1.19760	−	1.15798i
$622$	4.85519	+	1.57755i	0.194675	+	0.0632538i
$623$	−0.865751	+	0.629005i	−0.0346856	+	0.0252005i
$624$	0.182764	+	0.184825i	0.00731643	+	0.00739892i
$625$	1.09419	+	3.36758i	0.0437677	+	0.134703i
$626$	16.1522			0.645573
$627$	4.74548	−	23.2937i	0.189516	−	0.930261i
$628$	−21.5582			−0.860266
$629$	−2.83483	−	8.72470i	−0.113032	−	0.347876i
$630$	2.19704	+	3.09638i	0.0875322	+	0.123363i
$631$	38.2813	−	27.8130i	1.52395	−	1.10722i	0.564472	−	0.825452i	$-0.309080\pi$
$631$	38.2813	−	27.8130i	1.52395	−	1.10722i	0.959483	−	0.281766i	$-0.0909201\pi$
$632$	10.3548	+	3.36448i	0.411892	+	0.133832i
$633$	−0.344979	+	0.667779i	−0.0137117	+	0.0265418i
$634$	−9.89650	−	13.6214i	−0.393040	−	0.540973i
$635$	−10.5827	−	7.68882i	−0.419963	−	0.305121i
$636$	−1.51804	−	9.94503i	−0.0601942	−	0.394346i
$637$		−	0.150070i		−	0.00594599i
$638$	9.77374	+	14.5964i	0.386946	+	0.577877i
$639$	−6.02460	+	17.8580i	−0.238330	+	0.706453i
$640$	−1.20361	+	0.391077i	−0.0475769	+	0.0154587i
$641$	10.4106	−	14.3290i	0.411195	−	0.565961i	−0.552314	−	0.833636i	$-0.686255\pi$
$641$	10.4106	−	14.3290i	0.411195	−	0.565961i	0.963509	+	0.267674i	$0.0862552\pi$
$642$	−2.57425	−	5.12304i	−0.101597	−	0.202190i
$643$	−10.2501	+	31.5465i	−0.404223	+	1.24407i	0.517319	+	0.855793i	$0.326930\pi$
$643$	−10.2501	+	31.5465i	−0.404223	+	1.24407i	−0.921542	+	0.388279i	$0.873070\pi$
$644$	2.46883	−	7.59828i	0.0972855	−	0.299414i
$645$	−4.31853	−	8.59436i	−0.170042	−	0.338403i
$646$	−2.98610	+	4.11001i	−0.117487	+	0.161706i
$647$	−35.8161	+	11.6374i	−1.40808	+	0.457512i	−0.911793	−	0.410650i	$-0.865302\pi$
$647$	−35.8161	+	11.6374i	−1.40808	+	0.457512i	−0.496282	+	0.868161i	$0.665302\pi$
$648$	7.16071	+	5.45199i	0.281299	+	0.214174i
$649$	−13.2853	−	46.9296i	−0.521493	−	1.84215i
$650$			0.509995i			0.0200037i
$651$	−1.17302	−	7.68470i	−0.0459741	−	0.301187i
$652$	7.66663	+	5.57013i	0.300248	+	0.218143i
$653$	23.9367	+	32.9460i	0.936715	+	1.28928i	0.957182	+	0.289488i	$0.0934849\pi$
$653$	23.9367	+	32.9460i	0.936715	+	1.28928i	−0.0204664	+	0.999791i	$0.506515\pi$
$654$	1.55772	−	3.01530i	0.0609118	−	0.117907i
$655$	−3.76779	−	1.22423i	−0.147220	−	0.0478346i
$656$	7.89214	−	5.73398i	0.308136	−	0.223874i
$657$	26.3237	−	18.6780i	1.02699	−	0.728698i
$658$	−0.863658	−	2.65807i	−0.0336689	−	0.103622i
$659$	3.77335			0.146989			0.0734945	−	0.997296i	$-0.476585\pi$
$659$	3.77335			0.146989			0.0734945	+	0.997296i	$0.476585\pi$
$660$	−5.36132	+	4.91017i	−0.208689	+	0.191128i
$661$	35.5412			1.38239			0.691196	−	0.722667i	$-0.257084\pi$
$661$	35.5412			1.38239			0.691196	+	0.722667i	$0.257084\pi$
$662$	−1.55487	−	4.78541i	−0.0604319	−	0.185990i
$663$	−0.224370	−	0.226900i	−0.00871382	−	0.00881207i
$664$	7.89471	−	5.73584i	0.306374	−	0.222594i
$665$	4.98079	+	1.61836i	0.193147	+	0.0627571i
$666$	−13.3793	+	17.9874i	−0.518438	+	0.696999i
$667$	24.8723	+	34.2337i	0.963058	+	1.32554i
$668$	−9.16271	−	6.65710i	−0.354516	−	0.257571i
$669$	−31.1667	+	4.75738i	−1.20497	+	0.183931i
$670$		−	15.3757i		−	0.594015i
$671$	−6.60486	−	5.19635i	−0.254978	−	0.200603i
$672$	1.70918	+	0.280538i	0.0659331	+	0.0108220i
$673$	−31.3630	+	10.1905i	−1.20895	+	0.392813i	−0.843048	−	0.537838i	$-0.819241\pi$
$673$	−31.3630	+	10.1905i	−1.20895	+	0.392813i	−0.365907	+	0.930652i	$0.619241\pi$
$674$	13.2501	−	18.2372i	0.510375	−	0.702471i
$675$	2.46871	+	17.4851i	0.0950206	+	0.673001i
$676$	4.01026	−	12.3423i	0.154241	−	0.474704i
$677$	0.576976	−	1.77575i	0.0221750	−	0.0682476i	−0.939357	−	0.342942i	$-0.888577\pi$
$677$	0.576976	−	1.77575i	0.0221750	−	0.0682476i	0.961532	+	0.274694i	$0.0885766\pi$
$678$	28.4013	−	14.2712i	1.09075	−	0.548083i
$679$	5.82521	−	8.01771i	0.223551	−	0.307692i
$680$	1.47761	−	0.480105i	0.0566638	−	0.0184112i
$681$	5.52300	−	33.6489i	0.211642	−	1.28943i
$682$	14.3227	−	4.05460i	0.548444	−	0.155259i
$683$			39.4696i			1.51026i	0.655573	+	0.755132i	$0.272427\pi$
$683$			39.4696i			1.51026i	−0.655573	+	0.755132i	$0.727573\pi$
$684$	12.4138	+	0.139184i	0.474655	+	0.00532185i
$685$	0.872697	+	0.634052i	0.0333441	+	0.0242259i
$686$	−0.587785	−	0.809017i	−0.0224417	−	0.0308884i
$687$	15.0761	+	7.78841i	0.575188	+	0.297146i
$688$	−4.17318	−	1.35595i	−0.159101	−	0.0516950i
$689$	0.705178	−	0.512342i	0.0268651	−	0.0195187i
$690$	−12.4525	+	12.3136i	−0.474057	+	0.468772i
$691$	6.90773	+	21.2598i	0.262783	+	0.808762i	0.992196	+	0.124688i	$0.0397931\pi$
$691$	6.90773	+	21.2598i	0.262783	+	0.808762i	−0.729413	+	0.684073i	$0.760207\pi$
$692$	−17.1279			−0.651105
$693$	9.60344	−	2.60269i	0.364804	−	0.0988682i
$694$	20.3822			0.773699
$695$	−2.99118	−	9.20591i	−0.113462	−	0.349200i
$696$	−6.52311	+	6.45038i	−0.247258	+	0.244501i
$697$	−9.68877	+	7.03930i	−0.366988	+	0.266633i
$698$	20.6714	+	6.71655i	0.782425	+	0.254225i
$699$	46.4006	+	23.9709i	1.75503	+	0.906662i
$700$	1.99752	+	2.74935i	0.0754991	+	0.103916i
$701$	36.2208	+	26.3160i	1.36804	+	0.993941i	0.997887	+	0.0649706i	$0.0206954\pi$
$701$	36.2208	+	26.3160i	1.36804	+	0.993941i	0.370155	+	0.928970i	$0.379305\pi$
$702$	−0.134920	+	0.768026i	−0.00509224	+	0.0289873i
$703$			30.9230i			1.16628i
$704$	−0.126956	+	3.31419i	−0.00478485	+	0.124908i
$705$	−0.992273	+	6.04543i	−0.0373712	+	0.227684i
$706$	−11.5876	+	3.76505i	−0.436106	+	0.141699i
$707$	0.897019	−	1.23464i	0.0337359	−	0.0464335i
$708$	22.7596	−	11.4363i	0.855357	−	0.429804i
$709$	−8.93914	+	27.5119i	−0.335717	+	1.03323i	0.630651	+	0.776066i	$0.282788\pi$
$709$	−8.93914	+	27.5119i	−0.335717	+	1.03323i	−0.966368	+	0.257163i	$0.917212\pi$
$710$	2.45686	−	7.56144i	0.0922044	−	0.283776i
$711$	9.74454	+	31.1757i	0.365449	+	1.16918i
$712$	0.629005	−	0.865751i	0.0235730	−	0.0324454i
$713$	34.1022	−	11.0805i	1.27714	−	0.414968i
$714$	−2.09827	−	0.344402i	−0.0785259	−	0.0128889i
$715$	−0.591179	−	0.217438i	−0.0221088	−	0.00813173i
$716$		−	0.376232i		−	0.0140605i
$717$	−5.08504	+	0.776196i	−0.189904	+	0.0289876i
$718$	−21.3205	−	15.4903i	−0.795676	−	0.578092i
$719$	−11.0692	−	15.2355i	−0.412812	−	0.568187i	0.551090	−	0.834446i	$-0.314212\pi$
$719$	−11.0692	−	15.2355i	−0.412812	−	0.568187i	−0.963901	+	0.266259i	$0.914212\pi$
$720$	−3.04635	−	2.26591i	−0.113531	−	0.0844456i
$721$	3.83172	+	1.24500i	0.142701	+	0.0463663i
$722$	−1.51713	+	1.10226i	−0.0564617	+	0.0410219i
$723$	−5.12978	−	5.18762i	−0.190779	−	0.192930i
$724$	−5.34329	−	16.4450i	−0.198582	−	0.611172i
$725$	−17.9995			−0.668484
$726$	7.22694	+	17.6287i	0.268217	+	0.654263i
$727$	45.8398			1.70010			0.850051	−	0.526700i	$-0.176571\pi$
$727$	45.8398			1.70010			0.850051	+	0.526700i	$0.176571\pi$
$728$	0.0463742	+	0.142725i	0.00171874	+	0.00528975i
$729$	−0.907966	+	26.9847i	−0.0336284	+	0.999434i
$730$	−11.0156	+	8.00333i	−0.407707	+	0.296216i
$731$	5.12319	+	1.66463i	0.189488	+	0.0615684i
$732$	2.01437	−	3.89923i	0.0744533	−	0.144120i
$733$	4.64612	+	6.39483i	0.171608	+	0.236199i	0.886155	−	0.463389i	$-0.153367\pi$
$733$	4.64612	+	6.39483i	0.171608	+	0.236199i	−0.714546	+	0.699588i	$0.753367\pi$
$734$	14.4897	+	10.5274i	0.534825	+	0.388573i
$735$	0.330762	+	2.16690i	0.0122004	+	0.0799273i
$736$			7.98930i			0.294490i
$737$	−37.8181	−	13.9097i	−1.39305	−	0.512369i
$738$	27.7302	+	9.35507i	1.02076	+	0.344365i
$739$	−30.1398	+	9.79303i	−1.10871	+	0.360242i	−0.805449	−	0.592665i	$-0.798076\pi$
$739$	−30.1398	+	9.79303i	−1.10871	+	0.360242i	−0.303263	+	0.952907i	$0.598076\pi$
$740$	5.55864	−	7.65081i	0.204340	−	0.281250i
$741$	0.482950	+	0.961124i	0.0177416	+	0.0353078i
$742$	1.79485	−	5.52399i	0.0658912	−	0.202792i
$743$	−8.62955	+	26.5590i	−0.316587	+	0.974356i	0.658509	+	0.752573i	$0.271188\pi$
$743$	−8.62955	+	26.5590i	−0.316587	+	0.974356i	−0.975096	+	0.221783i	$0.928812\pi$
$744$	3.49031	+	6.94610i	0.127961	+	0.254656i
$745$	−0.662236	+	0.911489i	−0.0242624	+	0.0333944i
$746$	10.6734	−	3.46800i	0.390781	−	0.126973i
$747$	27.7392	+	9.35811i	1.01492	+	0.342396i
$748$	0.155858	−	4.06866i	0.00569873	−	0.148765i
$749$		−	3.31020i		−	0.120952i
$750$	−2.77787	−	18.1985i	−0.101433	−	0.664514i
$751$	−39.9326	−	29.0127i	−1.45716	−	1.05869i	−0.984091	−	0.177662i	$-0.943146\pi$
$751$	−39.9326	−	29.0127i	−1.45716	−	1.05869i	−0.473068	−	0.881026i	$-0.656854\pi$
$752$	1.64278	+	2.26109i	0.0599059	+	0.0824533i
$753$	8.13826	−	15.7533i	0.296575	−	0.574082i
$754$	−0.755942	−	0.245620i	−0.0275298	−	0.00894497i
$755$	14.9239	−	10.8428i	0.543135	−	0.394611i
$756$	2.28081	+	4.66882i	0.0829524	+	0.169803i
$757$	4.52610	+	13.9299i	0.164504	+	0.506291i	0.998999	−	0.0447237i	$-0.0142408\pi$
$757$	4.52610	+	13.9299i	0.164504	+	0.506291i	−0.834495	+	0.551015i	$0.814241\pi$
$758$	17.5667			0.638051
$759$	19.0215	+	41.7677i	0.690436	+	1.51607i
$760$	−5.23711			−0.189970
$761$	−2.71038	−	8.34169i	−0.0982512	−	0.302386i	0.889836	−	0.456280i	$-0.150819\pi$
$761$	−2.71038	−	8.34169i	−0.0982512	−	0.302386i	−0.988087	+	0.153894i	$0.950819\pi$
$762$	−12.5880	−	12.7300i	−0.456017	−	0.461158i
$763$	1.58524	−	1.15175i	0.0573896	−	0.0416960i
$764$	−10.9644	−	3.56255i	−0.396678	−	0.128889i
$765$	3.73984	+	2.78174i	0.135214	+	0.100574i
$766$	−14.7721	−	20.3321i	−0.533739	−	0.734629i
$767$	1.78543	+	1.29719i	0.0644681	+	0.0468388i
$768$	−1.71222	+	0.261358i	−0.0617844	+	0.00943095i
$769$		−	7.95794i		−	0.286971i	−0.989652	−	0.143485i	$-0.954169\pi$
$769$		−	7.95794i		−	0.286971i	0.989652	−	0.143485i	$-0.0458310\pi$
$770$	−4.03865	+	1.14330i	−0.145543	+	0.0412016i
$771$	46.7288	+	7.66988i	1.68290	+	0.276224i
$772$	10.3428	−	3.36058i	0.372246	−	0.120950i
$773$	2.00414	−	2.75846i	0.0720839	−	0.0992150i	−0.771453	−	0.636287i	$-0.780470\pi$
$773$	2.00414	−	2.75846i	0.0720839	−	0.0992150i	0.843537	+	0.537072i	$0.180470\pi$
$774$	−3.92722	−	12.5643i	−0.141161	−	0.451616i
$775$	−4.71327	+	14.5059i	−0.169306	+	0.521069i
$776$	−3.06249	+	9.42539i	−0.109937	+	0.338352i
$777$	−11.5649	+	5.81120i	−0.414890	+	0.208476i
$778$	6.53645	−	8.99665i	0.234343	−	0.322545i
$779$	38.3933	−	12.4747i	1.37558	−	0.446954i
$780$	0.0532802	−	0.324610i	0.00190774	−	0.0116229i
$781$	−16.3755	−	12.8834i	−0.585963	−	0.461004i
$782$		−	9.80805i		−	0.350735i
$783$	−27.1063	−	4.76180i	−0.968700	−	0.170173i
$784$	0.809017	+	0.587785i	0.0288935	+	0.0209923i
$785$	16.0365	+	22.0724i	0.572369	+	0.787798i
$786$	−4.81718	−	2.48859i	−0.171823	−	0.0887650i
$787$	8.94226	+	2.90552i	0.318757	+	0.103570i	0.464026	−	0.885822i	$-0.346405\pi$
$787$	8.94226	+	2.90552i	0.318757	+	0.103570i	−0.145268	+	0.989392i	$0.546405\pi$
$788$	−7.87907	+	5.72448i	−0.280680	+	0.203926i
$789$	−24.5026	+	24.2294i	−0.872314	+	0.862589i
$790$	−4.25793	−	13.1046i	−0.151490	−	0.466239i
$791$	18.3512			0.652495
$792$	−8.32913	+	5.44293i	−0.295963	+	0.193406i
$793$	0.380260			0.0135034
$794$	6.92626	+	21.3168i	0.245804	+	0.756506i
$795$	−9.05302	+	8.95208i	−0.321077	+	0.317498i
$796$	−15.4832	+	11.2492i	−0.548786	+	0.398716i
$797$	−38.8467	−	12.6221i	−1.37602	−	0.447096i	−0.474662	−	0.880168i	$-0.657430\pi$
$797$	−38.8467	−	12.6221i	−1.37602	−	0.447096i	−0.901359	+	0.433072i	$0.857430\pi$
$798$	6.36802	+	3.28976i	0.225425	+	0.116456i
$799$	−2.01675	−	2.77582i	−0.0713475	−	0.0982014i
$800$	−2.74935	−	1.99752i	−0.0972041	−	0.0706229i
$801$	3.21018	+	0.0359927i	0.113426	+	0.00127174i
$802$		−	5.33100i		−	0.188244i
$803$	9.71968	+	34.3343i	0.343000	+	1.21163i
$804$	3.40837	−	20.7655i	0.120204	−	0.732343i
$805$	−9.61601	+	3.12443i	−0.338920	+	0.110122i
$806$	−0.395896	+	0.544904i	−0.0139448	+	0.0191934i
$807$	0.980386	−	0.492629i	0.0345112	−	0.0173414i
$808$	−0.471591	+	1.45141i	−0.0165905	+	0.0510603i
$809$	−0.901007	+	2.77301i	−0.0316777	+	0.0974939i	−0.965645	−	0.259864i	$-0.916322\pi$
$809$	−0.901007	+	2.77301i	−0.0316777	+	0.0974939i	0.933968	+	0.357358i	$0.116322\pi$
$810$	0.255377	−	11.3871i	0.00897305	−	0.400102i
$811$	−20.8639	+	28.7168i	−0.732632	+	1.00838i	0.266377	+	0.963869i	$0.414173\pi$
$811$	−20.8639	+	28.7168i	−0.732632	+	1.00838i	−0.999009	+	0.0445126i	$0.985827\pi$
$812$	−5.03726	+	1.63671i	−0.176773	+	0.0574371i
$813$	44.8434	+	7.36042i	1.57273	+	0.258141i
$814$	−13.7893	−	20.5934i	−0.483316	−	0.721798i
$815$		−	11.9930i		−	0.420095i
$816$	2.10200	−	0.320856i	0.0735848	−	0.0112322i
$817$	−14.6903	−	10.6731i	−0.513947	−	0.373405i
$818$	−9.47901	−	13.0467i	−0.331426	−	0.456169i
$819$	−0.268694	+	0.361238i	−0.00938892	+	0.0126227i
$820$	−11.7415	−	3.81504i	−0.410031	−	0.133227i
$821$	35.8961	−	26.0801i	1.25278	−	0.910200i	0.254403	−	0.967098i	$-0.418121\pi$
$821$	35.8961	−	26.0801i	1.25278	−	0.910200i	0.998380	+	0.0568979i	$0.0181210\pi$
$822$	1.03806	+	1.04977i	0.0362066	+	0.0366148i
$823$	13.6996	+	42.1630i	0.477537	+	1.46971i	0.842505	+	0.538688i	$0.181080\pi$
$823$	13.6996	+	42.1630i	0.477537	+	1.46971i	−0.364968	+	0.931020i	$0.618920\pi$
$824$	−4.02891			−0.140354
$825$	−19.1293	−	3.89709i	−0.665996	−	0.135679i
$826$	14.7059			0.511683
$827$	17.7051	+	54.4908i	0.615667	+	1.89483i	0.390983	+	0.920398i	$0.372135\pi$
$827$	17.7051	+	54.4908i	0.615667	+	1.89483i	0.224685	+	0.974431i	$0.427865\pi$
$828$	−19.5472	+	13.8697i	−0.679311	+	0.482005i
$829$	−7.96168	+	5.78450i	−0.276521	+	0.200904i	−0.717398	−	0.696663i	$-0.754667\pi$
$829$	−7.96168	+	5.78450i	−0.276521	+	0.200904i	0.440878	+	0.897567i	$0.354667\pi$
$830$	−11.7453	−	3.81628i	−0.407686	−	0.132465i
$831$	22.4346	−	43.4267i	0.778246	−	1.50646i
$832$	−0.0882090	−	0.121409i	−0.00305810	−	0.00420911i
$833$	−0.993188	−	0.721593i	−0.0344119	−	0.0250017i
$834$	−1.99902	−	13.0960i	−0.0692203	−	0.453478i
$835$			14.3333i			0.496024i
$836$	−4.73777	+	12.8812i	−0.163859	+	0.445506i
$837$	−10.9355	+	20.5983i	−0.377987	+	0.711981i
$838$	17.8350	−	5.79495i	0.616101	−	0.200183i
$839$	26.2744	−	36.1636i	0.907093	−	1.24851i	−0.0610572	−	0.998134i	$-0.519447\pi$
$839$	26.2744	−	36.1636i	0.907093	−	1.24851i	0.968150	−	0.250372i	$-0.0805528\pi$
$840$	−0.984183	−	1.95863i	−0.0339575	−	0.0675793i
$841$	−0.292701	+	0.900843i	−0.0100932	+	0.0310635i
$842$	−2.34613	+	7.22064i	−0.0808529	+	0.248840i
$843$	−3.62686	−	7.21787i	−0.124916	−	0.248597i
$844$	0.255070	−	0.351073i	0.00877986	−	0.0120844i
$845$	−15.6198	+	5.07519i	−0.537339	+	0.174592i
$846$	−2.68021	+	7.94465i	−0.0921476	+	0.273143i
$847$	−0.841517	+	10.9678i	−0.0289149	+	0.376857i
$848$			5.80827i			0.199457i
$849$	−6.39002	−	41.8625i	−0.219305	−	1.43672i
$850$	3.37523	+	2.45225i	0.115769	+	0.0841114i
$851$	−35.0912	−	48.2988i	−1.20291	−	1.65566i
$852$	4.99426	−	9.66743i	0.171101	−	0.331201i
$853$	−14.8506	−	4.82526i	−0.508476	−	0.165214i	0.0435333	−	0.999052i	$-0.486139\pi$
$853$	−14.8506	−	4.82526i	−0.508476	−	0.165214i	−0.552009	+	0.833838i	$0.686139\pi$
$854$	2.04995	−	1.48938i	0.0701480	−	0.0509655i
$855$	−9.09180	−	12.8135i	−0.310933	−	0.438211i
$856$	1.02291	+	3.14819i	0.0349623	+	0.107603i
$857$	23.4298			0.800346			0.400173	−	0.916440i	$-0.368950\pi$
$857$	23.4298			0.800346			0.400173	+	0.916440i	$0.368950\pi$
$858$	−0.750212	−	0.424708i	−0.0256118	−	0.0144993i
$859$	−45.1419			−1.54022			−0.770110	−	0.637911i	$-0.779799\pi$
$859$	−45.1419			−1.54022			−0.770110	+	0.637911i	$0.779799\pi$
$860$	1.71602	+	5.28137i	0.0585158	+	0.180093i
$861$	11.8805	+	12.0144i	0.404886	+	0.409451i
$862$	−18.4067	+	13.3733i	−0.626936	+	0.455496i
$863$	−10.9781	−	3.56700i	−0.373699	−	0.121422i	0.116145	−	0.993232i	$-0.462946\pi$
$863$	−10.9781	−	3.56700i	−0.373699	−	0.121422i	−0.489844	+	0.871810i	$0.662946\pi$
$864$	−3.61193	−	3.73550i	−0.122880	−	0.127084i
$865$	12.7410	+	17.5364i	0.433206	+	0.596257i
$866$	8.15913	+	5.92796i	0.277259	+	0.201440i
$867$	26.5272	−	4.04919i	0.900911	−	0.137518i
$868$			4.48815i			0.152338i
$869$	−36.0839	−	1.38226i	−1.22406	−	0.0468901i
$870$	11.4566	+	1.88044i	0.388415	+	0.0637529i
$871$	1.73402	−	0.563419i	0.0587552	−	0.0190907i
$872$	−1.15175	+	1.58524i	−0.0390030	+	0.0536830i
$873$	−28.3774	+	8.86989i	−0.960429	+	0.300200i
$874$	−10.2165	+	31.4432i	−0.345579	+	1.06358i
$875$	3.28441	−	10.1084i	0.111033	−	0.341726i
$876$	−16.6512	+	8.36697i	−0.562592	+	0.282694i
$877$	23.7693	−	32.7156i	0.802632	−	1.10473i	−0.189787	−	0.981825i	$-0.560780\pi$
$877$	23.7693	−	32.7156i	0.802632	−	1.10473i	0.992419	−	0.122903i	$-0.0392204\pi$
$878$	−2.50363	+	0.813480i	−0.0844935	+	0.0274536i
$879$	1.99775	−	12.1713i	0.0673824	−	0.410528i
$880$	3.48769	−	2.33535i	0.117570	−	0.0787247i
$881$		−	27.0165i		−	0.910209i	−0.890438	−	0.455104i	$-0.849602\pi$
$881$		−	27.0165i		−	0.910209i	0.890438	−	0.455104i	$-0.150398\pi$
$882$	−0.0336340	+	2.99981i	−0.00113252	+	0.101009i
$883$	−36.9282	−	26.8299i	−1.24273	−	0.902897i	−0.244954	−	0.969535i	$-0.578773\pi$
$883$	−36.9282	−	26.8299i	−1.24273	−	0.902897i	−0.997777	+	0.0666371i	$0.978773\pi$
$884$	0.108290	+	0.149048i	0.00364217	+	0.00501302i
$885$	−28.6393	−	14.7953i	−0.962701	−	0.497338i
$886$	19.2664	+	6.26004i	0.647268	+	0.210310i
$887$	−32.1172	+	23.3345i	−1.07839	+	0.783495i	−0.977401	−	0.211392i	$-0.932200\pi$
$887$	−32.1172	+	23.3345i	−1.07839	+	0.783495i	−0.100988	+	0.994888i	$0.532200\pi$
$888$	9.20316	−	9.10055i	0.308838	−	0.305394i
$889$	−3.19406	−	9.83031i	−0.107125	−	0.329698i
$890$	−1.35430			−0.0453963
$891$	−27.7767	−	10.9295i	−0.930555	−	0.366152i
$892$	18.2025			0.609465
$893$	3.57399	+	10.9996i	0.119599	+	0.368088i
$894$	−1.09643	+	1.08421i	−0.0366701	+	0.0362612i
$895$	−0.385206	+	0.279869i	−0.0128760	+	0.00935498i
$896$	−0.951057	−	0.309017i	−0.0317726	−	0.0103235i
$897$	−1.84500	−	0.953137i	−0.0616026	−	0.0318243i
$898$	−15.1453	−	20.8457i	−0.505406	−	0.695631i
$899$	−19.2315	−	13.9725i	−0.641407	−	0.466009i
$900$	0.114301	−	10.1945i	0.00381004	−	0.339817i
$901$		−	7.13051i		−	0.237552i
$902$	−20.0055	+	25.4281i	−0.666109	+	0.846664i
$903$	1.23098	−	7.49978i	0.0409646	−	0.249577i
$904$	−17.4531	+	5.67084i	−0.580480	+	0.188609i
$905$	−12.8625	+	17.7037i	−0.427563	+	0.588490i
$906$	22.5589	−	11.3355i	0.749468	−	0.376596i
$907$	11.5188	−	35.4512i	0.382475	−	1.17714i	−0.555820	−	0.831302i	$-0.687596\pi$
$907$	11.5188	−	35.4512i	0.382475	−	1.17714i	0.938295	−	0.345835i	$-0.112404\pi$
$908$	−6.08367	+	18.7236i	−0.201894	+	0.621365i
$909$	−4.36981	+	1.36587i	−0.144937	+	0.0453030i
$910$	0.111633	−	0.153650i	0.00370060	−	0.00509344i
$911$	−8.56241	+	2.78210i	−0.283685	+	0.0921749i	−0.447404	−	0.894332i	$-0.647651\pi$
$911$	−8.56241	+	2.78210i	−0.283685	+	0.0921749i	0.163718	+	0.986507i	$0.447651\pi$
$912$	−7.07294	−	1.16092i	−0.234208	−	0.0384420i
$913$	−20.0120	+	25.4364i	−0.662300	+	0.841822i
$914$		−	23.7456i		−	0.785435i
$915$	−5.49067	+	0.838113i	−0.181516	+	0.0277072i
$916$	−7.92599	−	5.75857i	−0.261882	−	0.190269i
$917$	−1.84001	−	2.53255i	−0.0607623	−	0.0836322i
$918$	4.43417	+	4.58588i	0.146350	+	0.151357i
$919$	19.1502	+	6.22228i	0.631707	+	0.205254i	0.607331	−	0.794449i	$-0.292240\pi$
$919$	19.1502	+	6.22228i	0.631707	+	0.205254i	0.0243760	+	0.999703i	$0.492240\pi$
$920$	8.17987	−	5.94302i	0.269682	−	0.195936i
$921$	31.1621	+	31.5135i	1.02683	+	1.03840i
$922$	0.860804	+	2.64928i	0.0283491	+	0.0872495i
$923$	0.942785			0.0310322
$924$	−5.70781	+	0.648815i	−0.187773	+	0.0213444i
$925$	25.3946			0.834971
$926$	−0.926661	−	2.85197i	−0.0304520	−	0.0937216i
$927$	−6.99432	−	9.85740i	−0.229724	−	0.323759i
$928$	4.28495	−	3.11320i	0.140660	−	0.102196i
$929$	−36.4151	−	11.8320i	−1.19474	−	0.388195i	−0.356917	−	0.934136i	$-0.616172\pi$
$929$	−36.4151	−	11.8320i	−1.19474	−	0.388195i	−0.837823	+	0.545942i	$0.816172\pi$
$930$	4.51544	−	8.74058i	0.148067	−	0.286615i
$931$	2.43237	+	3.34788i	0.0797179	+	0.109722i
$932$	−24.3943	−	17.7235i	−0.799063	−	0.580553i
$933$	−1.33425	−	8.74095i	−0.0436813	−	0.286166i
$934$		−	5.42478i		−	0.177504i
$935$	−4.28165	+	2.86699i	−0.140025	+	0.0937606i
$936$	0.143914	−	0.426589i	0.00470399	−	0.0139435i
$937$	47.7321	−	15.5091i	1.55934	−	0.506660i	0.602708	−	0.797962i	$-0.294089\pi$
$937$	47.7321	−	15.5091i	1.55934	−	0.506660i	0.956631	+	0.291302i	$0.0940886\pi$
$938$	7.14124	−	9.82907i	0.233170	−	0.320930i
$939$	−12.5611	−	24.9980i	−0.409917	−	0.815780i
$940$	1.09300	−	3.36392i	0.0356499	−	0.109719i
$941$	−6.03396	+	18.5706i	−0.196702	+	0.605385i	0.803251	+	0.595641i	$0.203102\pi$
$941$	−6.03396	+	18.5706i	−0.196702	+	0.605385i	−0.999953	+	0.00974438i	$0.996898\pi$
$942$	16.7652	+	33.3646i	0.546239	+	1.08708i
$943$	−45.8104	+	63.0527i	−1.49179	+	2.05328i
$944$	−13.9861	+	4.54436i	−0.455209	+	0.147906i
$945$	3.08355	−	5.80822i	0.100308	−	0.188942i
$946$	14.5425	+	0.557077i	0.472817	+	0.0181121i
$947$		−	0.232395i		−	0.00755181i	−0.999993	−	0.00377591i	$-0.998798\pi$
$947$		−	0.232395i		−	0.00755181i	0.999993	−	0.00377591i	$-0.00120191\pi$
$948$	−2.84559	−	18.6421i	−0.0924205	−	0.605468i
$949$	−1.30624	−	0.949041i	−0.0424024	−	0.0308072i
$950$	−8.26613	−	11.3774i	−0.268189	−	0.369130i
$951$	−13.3849	+	25.9093i	−0.434035	+	0.840166i
$952$	1.16756	+	0.379364i	0.0378409	+	0.0122953i
$953$	7.79107	−	5.66054i	0.252377	−	0.183363i	−0.454402	−	0.890797i	$-0.650147\pi$
$953$	7.79107	−	5.66054i	0.252377	−	0.183363i	0.706780	+	0.707434i	$0.250147\pi$
$954$	−14.2109	+	10.0834i	−0.460095	+	0.326461i
$955$	4.50859	+	13.8760i	0.145895	+	0.449017i
$956$	2.96985			0.0960519
$957$	14.9894	−	26.4775i	0.484538	−	0.855898i
$958$	26.9841			0.871818
$959$	0.263396	+	0.810649i	0.00850549	+	0.0261772i
$960$	1.54126	+	1.55864i	0.0497441	+	0.0503050i
$961$	8.78307	−	6.38127i	0.283325	−	0.205847i
$962$	1.06652	+	0.346535i	0.0343861	+	0.0111727i
$963$	−5.92677	+	7.96808i	−0.190987	+	0.256768i
$964$	2.47583	+	3.40768i	0.0797410	+	0.109754i
$965$	−11.1345	−	8.08967i	−0.358431	−	0.260416i
$966$	−13.6794	+	2.08807i	−0.440128	+	0.0671825i
$967$			32.6778i			1.05085i	0.850840	+	0.525424i	$0.176093\pi$
$967$			32.6778i			1.05085i	−0.850840	+	0.525424i	$0.823907\pi$
$968$	−2.58890	−	10.6910i	−0.0832103	−	0.343622i
$969$	8.68308	+	1.42521i	0.278941	+	0.0457842i
$970$	11.9283	−	3.87574i	0.382995	−	0.124443i
$971$	−9.50365	+	13.0807i	−0.304987	+	0.419778i	−0.933810	−	0.357770i	$-0.883537\pi$
$971$	−9.50365	+	13.0807i	−0.304987	+	0.419778i	0.628823	+	0.777549i	$0.283537\pi$
$972$	2.86911	−	15.3221i	0.0920266	−	0.491458i
$973$	2.36354	−	7.27423i	0.0757716	−	0.233201i
$974$	−5.42253	+	16.6888i	−0.173749	+	0.534745i
$975$	0.789295	−	0.396608i	0.0252777	−	0.0127016i
$976$	−1.48938	+	2.04995i	−0.0476739	+	0.0656174i
$977$	−3.72468	+	1.21022i	−0.119163	+	0.0387184i	−0.367992	−	0.929829i	$-0.619954\pi$
$977$	−3.72468	+	1.21022i	−0.119163	+	0.0387184i	0.248828	+	0.968548i	$0.419954\pi$
$978$	2.65851	−	16.1970i	0.0850098	−	0.517923i
$979$	−1.22517	+	3.33104i	−0.0391567	+	0.106461i
$980$		−	1.26555i		−	0.0404266i
$981$	−5.87803	−	0.0659047i	−0.187671	−	0.00210418i
$982$	−27.3069	−	19.8396i	−0.871399	−	0.633109i
$983$	−7.15144	−	9.84312i	−0.228096	−	0.313947i	0.679594	−	0.733588i	$-0.262156\pi$
$983$	−7.15144	−	9.84312i	−0.228096	−	0.313947i	−0.907690	+	0.419641i	$0.862156\pi$
$984$	−15.0117	−	7.75514i	−0.478555	−	0.247225i
$985$	11.7221	+	3.80873i	0.373496	+	0.121356i
$986$	−5.26041	+	3.82191i	−0.167526	+	0.121714i
$987$	−3.44212	+	3.40374i	−0.109564	+	0.108342i
$988$	−0.191906	−	0.590626i	−0.00610534	−	0.0187903i
$989$	35.0565			1.11473
$990$	11.7686	+	4.47896i	0.374030	+	0.142351i
$991$	−52.0302			−1.65279			−0.826396	−	0.563089i	$-0.809613\pi$
$991$	−52.0302			−1.65279			−0.826396	+	0.563089i	$0.809613\pi$
$992$	−1.38692	−	4.26849i	−0.0440346	−	0.135525i
$993$	−6.19697	+	6.12788i	−0.196655	+	0.194462i
$994$	5.08249	−	3.69264i	0.161207	−	0.117124i
$995$	23.0350	+	7.48452i	0.730258	+	0.237275i
$996$	−15.0166	−	7.75767i	−0.475818	−	0.245811i
$997$	−21.6875	−	29.8502i	−0.686849	−	0.945366i	0.313142	−	0.949706i	$-0.398619\pi$
$997$	−21.6875	−	29.8502i	−0.686849	−	0.945366i	−0.999991	+	0.00433997i	$0.998619\pi$
$998$	6.19831	+	4.50333i	0.196204	+	0.142551i
$999$	38.2430	+	6.71820i	1.20996	+	0.212555i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.a.281.10	✓	48
3.2	odd	2		462.2.w.b.281.6	yes	48
11.2	odd	10		462.2.w.b.365.6	yes	48
33.2	even	10	inner	462.2.w.a.365.10	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.281.10	✓	48	1.1	even	1	trivial
462.2.w.a.365.10	yes	48	33.2	even	10	inner
462.2.w.b.281.6	yes	48	3.2	odd	2
462.2.w.b.365.6	yes	48	11.2	odd	10

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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(1.23159 - 1.21786i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.20361 + 0.391077i) q^{5} +(1.53884 + 0.794973i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.0336340 - 2.99981i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(1.23159 - 1.21786i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(1.20361 + 0.391077i) q^{5} +(1.53884 + 0.794973i) q^{6} +(0.587785 + 0.809017i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(0.0336340 - 2.99981i) q^{9} +1.26555i q^{10} +(3.11275 + 1.14489i) q^{11} +(-0.280538 + 1.70918i) q^{12} +(-0.142725 + 0.0463742i) q^{13} +(-0.587785 + 0.809017i) q^{14} +(1.95863 - 0.984183i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-0.379364 + 1.16756i) q^{17} +(2.86338 - 0.895005i) q^{18} +(2.43237 - 3.34788i) q^{19} +(-1.20361 + 0.391077i) q^{20} +(1.70918 + 0.280538i) q^{21} +(-0.126956 + 3.31419i) q^{22} +7.98930i q^{23} +(-1.71222 + 0.261358i) q^{24} +(-2.74935 - 1.99752i) q^{25} +(-0.0882090 - 0.121409i) q^{26} +(-3.61193 - 3.73550i) q^{27} +(-0.951057 - 0.309017i) q^{28} +(4.28495 - 3.11320i) q^{29} +(1.54126 + 1.55864i) q^{30} +(-1.38692 - 4.26849i) q^{31} +1.00000 q^{32} +(5.22795 - 2.38087i) q^{33} -1.22765 q^{34} +(0.391077 + 1.20361i) q^{35} +(1.73603 + 2.44667i) q^{36} +(-6.04544 + 4.39227i) q^{37} +(3.93566 + 1.27878i) q^{38} +(-0.119302 + 0.230933i) q^{39} +(-0.743872 - 1.02385i) q^{40} +(7.89214 + 5.73398i) q^{41} +(0.261358 + 1.71222i) q^{42} -4.38794i q^{43} +(-3.19122 + 0.903399i) q^{44} +(1.21364 - 3.59745i) q^{45} +(-7.59828 + 2.46883i) q^{46} +(-1.64278 + 2.26109i) q^{47} +(-0.777671 - 1.54765i) q^{48} +(-0.309017 + 0.951057i) q^{49} +(1.05016 - 3.23205i) q^{50} +(0.954706 + 1.89997i) q^{51} +(0.0882090 - 0.121409i) q^{52} +(-5.52399 + 1.79485i) q^{53} +(2.43653 - 4.58948i) q^{54} +(3.29881 + 2.59532i) q^{55} -1.00000i q^{56} +(-1.08155 - 7.08551i) q^{57} +(4.28495 + 3.11320i) q^{58} +(-8.64390 - 11.8973i) q^{59} +(-1.00608 + 1.94748i) q^{60} +(-2.40987 - 0.783013i) q^{61} +(3.63099 - 2.63807i) q^{62} +(2.44667 - 1.73603i) q^{63} +(0.309017 + 0.951057i) q^{64} -0.189921 q^{65} +(3.87987 + 4.23635i) q^{66} -12.1494 q^{67} +(-0.379364 - 1.16756i) q^{68} +(9.72985 + 9.83955i) q^{69} +(-1.02385 + 0.743872i) q^{70} +(-5.97482 - 1.94134i) q^{71} +(-1.79046 + 2.40713i) q^{72} +(6.32399 + 8.70422i) q^{73} +(-6.04544 - 4.39227i) q^{74} +(-5.81877 + 0.888195i) q^{75} +4.13820i q^{76} +(0.903399 + 3.19122i) q^{77} +(-0.256497 - 0.0421004i) q^{78} +(-10.3548 + 3.36448i) q^{79} +(0.743872 - 1.02385i) q^{80} +(-8.99774 - 0.201791i) q^{81} +(-3.01453 + 9.27777i) q^{82} +(-3.01551 + 9.28079i) q^{83} +(-1.54765 + 0.777671i) q^{84} +(-0.913213 + 1.25693i) q^{85} +(4.17318 - 1.35595i) q^{86} +(1.48587 - 9.05266i) q^{87} +(-1.84532 - 2.75586i) q^{88} +1.07013i q^{89} +(3.79642 + 0.0425656i) q^{90} +(-0.121409 - 0.0882090i) q^{91} +(-4.69599 - 6.46348i) q^{92} +(-6.90654 - 3.56796i) q^{93} +(-2.65807 - 0.863658i) q^{94} +(4.23691 - 3.07830i) q^{95} +(1.23159 - 1.21786i) q^{96} +(-3.06249 - 9.42539i) q^{97} -1.00000 q^{98} +(3.53913 - 9.29917i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9	\( 48 q - 12 q^{2} - 4 q^{3} - 12 q^{4} + 6 q^{6} - 12 q^{8} + 10 q^{9} - 8 q^{11} + 6 q^{12} + 36 q^{15} - 12 q^{16} - 24 q^{17} + 30 q^{19} - 8 q^{22} - 4 q^{24} + 18 q^{25} - 20 q^{26} - 22 q^{27} + 8 q^{29} - 24 q^{30} - 32 q^{31} + 48 q^{32} - 14 q^{33} - 4 q^{34} + 6 q^{35} - 10 q^{36} - 20 q^{37} + 20 q^{38} - 6 q^{39} + 22 q^{44} + 12 q^{45} + 20 q^{46} + 20 q^{47} - 4 q^{48} + 12 q^{49} + 28 q^{50} + 8 q^{51} + 20 q^{52} + 20 q^{53} + 18 q^{54} + 16 q^{55} - 2 q^{57} + 8 q^{58} + 30 q^{59} - 4 q^{60} - 20 q^{61} + 8 q^{62} + 4 q^{63} - 12 q^{64} - 14 q^{66} + 36 q^{67} - 24 q^{68} - 70 q^{69} - 4 q^{70} + 10 q^{72} - 20 q^{73} - 20 q^{74} - 30 q^{75} - 16 q^{77} - 16 q^{78} - 20 q^{79} + 26 q^{81} - 10 q^{82} - 46 q^{83} - 10 q^{84} + 10 q^{85} - 30 q^{86} + 8 q^{87} - 8 q^{88} - 38 q^{90} - 36 q^{91} + 10 q^{92} - 36 q^{93} + 50 q^{95} - 4 q^{96} - 2 q^{97} - 48 q^{98} + 70 q^{99}+O(q^{100}) \) 48 * q - 12 * q^2 - 4 * q^3 - 12 * q^4 + 6 * q^6 - 12 * q^8 + 10 * q^9 - 8 * q^11 + 6 * q^12 + 36 * q^15 - 12 * q^16 - 24 * q^17 + 30 * q^19 - 8 * q^22 - 4 * q^24 + 18 * q^25 - 20 * q^26 - 22 * q^27 + 8 * q^29 - 24 * q^30 - 32 * q^31 + 48 * q^32 - 14 * q^33 - 4 * q^34 + 6 * q^35 - 10 * q^36 - 20 * q^37 + 20 * q^38 - 6 * q^39 + 22 * q^44 + 12 * q^45 + 20 * q^46 + 20 * q^47 - 4 * q^48 + 12 * q^49 + 28 * q^50 + 8 * q^51 + 20 * q^52 + 20 * q^53 + 18 * q^54 + 16 * q^55 - 2 * q^57 + 8 * q^58 + 30 * q^59 - 4 * q^60 - 20 * q^61 + 8 * q^62 + 4 * q^63 - 12 * q^64 - 14 * q^66 + 36 * q^67 - 24 * q^68 - 70 * q^69 - 4 * q^70 + 10 * q^72 - 20 * q^73 - 20 * q^74 - 30 * q^75 - 16 * q^77 - 16 * q^78 - 20 * q^79 + 26 * q^81 - 10 * q^82 - 46 * q^83 - 10 * q^84 + 10 * q^85 - 30 * q^86 + 8 * q^87 - 8 * q^88 - 38 * q^90 - 36 * q^91 + 10 * q^92 - 36 * q^93 + 50 * q^95 - 4 * q^96 - 2 * q^97 - 48 * q^98 + 70 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more