LMFDB - Embedded newform 64.2.i.a.21.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [64,2,Mod(5,64)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("64.5"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(64, base_ring=CyclotomicField(16)) chi = DirichletCharacter(H, H._module([0, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 64 = 2^{6} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	64.i (of order $16$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$0.511042572936$
Analytic rank:	$0$
Dimension:	$56$
Relative dimension:	$7$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			21.7
Character	$\chi$	$=$	64.21
Dual form			64.2.i.a.61.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.26428 - 0.633715i) q^{2} +(0.152968 + 0.769021i) q^{3} +(1.19681 - 1.60239i) q^{4} +(-2.78737 + 1.86246i) q^{5} +(0.680735 + 0.875320i) q^{6} +(-3.13672 - 1.29927i) q^{7} +(0.497646 - 2.78430i) q^{8} +(2.20364 - 0.912779i) q^{9} +(-2.34375 + 4.12108i) q^{10} +(-1.79402 - 0.356853i) q^{11} +(1.41534 + 0.675258i) q^{12} +(4.34710 + 2.90464i) q^{13} +(-4.78906 + 0.345143i) q^{14} +(-1.85865 - 1.85865i) q^{15} +(-1.13529 - 3.83551i) q^{16} +(-1.16196 + 1.16196i) q^{17} +(2.20758 - 2.55049i) q^{18} +(-0.00265155 + 0.00396832i) q^{19} +(-0.351568 + 6.69547i) q^{20} +(0.519350 - 2.61095i) q^{21} +(-2.49429 + 0.685737i) q^{22} +(1.78945 + 4.32013i) q^{23} +(2.21731 - 0.0432088i) q^{24} +(2.38726 - 5.76336i) q^{25} +(7.33667 + 0.917455i) q^{26} +(2.34588 + 3.51086i) q^{27} +(-5.83599 + 3.47126i) q^{28} +(-1.70191 + 0.338531i) q^{29} +(-3.52771 - 1.17200i) q^{30} -9.42685i q^{31} +(-3.86595 - 4.12970i) q^{32} -1.43423i q^{33} +(-0.732694 + 2.20540i) q^{34} +(11.1630 - 2.22047i) q^{35} +(1.17472 - 4.62352i) q^{36} +(-1.47130 - 2.20195i) q^{37} +(-0.000837513 + 0.00669740i) q^{38} +(-1.56876 + 3.78733i) q^{39} +(3.79854 + 8.68774i) q^{40} +(0.497436 + 1.20092i) q^{41} +(-0.997994 - 3.63009i) q^{42} +(0.104068 - 0.523183i) q^{43} +(-2.71892 + 2.44763i) q^{44} +(-4.44236 + 6.64846i) q^{45} +(5.00010 + 4.32785i) q^{46} +(-0.378819 + 0.378819i) q^{47} +(2.77592 - 1.45977i) q^{48} +(3.20113 + 3.20113i) q^{49} +(-0.634161 - 8.79935i) q^{50} +(-1.07132 - 0.715832i) q^{51} +(9.85702 - 3.48944i) q^{52} +(-3.63594 - 0.723233i) q^{53} +(5.19073 + 2.95209i) q^{54} +(5.66523 - 2.34662i) q^{55} +(-5.17854 + 8.08699i) q^{56} +(-0.00345732 - 0.00143207i) q^{57} +(-1.93716 + 1.50653i) q^{58} +(-11.1857 + 7.47403i) q^{59} +(-5.20273 + 0.753828i) q^{60} +(-1.29788 - 6.52488i) q^{61} +(-5.97394 - 11.9182i) q^{62} -8.09815 q^{63} +(-7.50470 - 2.77119i) q^{64} -17.5268 q^{65} +(-0.908892 - 1.81327i) q^{66} +(1.46964 + 7.38837i) q^{67} +(0.471267 + 3.25257i) q^{68} +(-3.04854 + 2.03697i) q^{69} +(12.7061 - 9.88148i) q^{70} +(5.03495 + 2.08554i) q^{71} +(-1.44482 - 6.58986i) q^{72} +(-4.53632 + 1.87901i) q^{73} +(-3.25554 - 1.85150i) q^{74} +(4.79732 + 0.954247i) q^{75} +(0.00318539 + 0.00899813i) q^{76} +(5.16369 + 3.45027i) q^{77} +(0.416732 + 5.78240i) q^{78} +(11.3984 + 11.3984i) q^{79} +(10.3080 + 8.57655i) q^{80} +(2.71871 - 2.71871i) q^{81} +(1.38994 + 1.20306i) q^{82} +(3.35370 - 5.01916i) q^{83} +(-3.56219 - 3.95701i) q^{84} +(1.07471 - 5.40294i) q^{85} +(-0.199978 - 0.727399i) q^{86} +(-0.520675 - 1.25702i) q^{87} +(-1.88637 + 4.81752i) q^{88} +(4.25907 - 10.2823i) q^{89} +(-1.40316 + 11.2207i) q^{90} +(-9.86171 - 14.7591i) q^{91} +(9.06415 + 2.30297i) q^{92} +(7.24944 - 1.44200i) q^{93} +(-0.238870 + 0.718996i) q^{94} -0.0159996i q^{95} +(2.58446 - 3.60471i) q^{96} +12.2846i q^{97} +(6.07574 + 2.01852i) q^{98} +(-4.27911 + 0.851169i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 56 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 16 q^{99}+O(q^{100}) $ 56 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 - 8 * q^23 + 32 * q^24 - 8 * q^25 + 32 * q^26 - 8 * q^27 + 32 * q^28 - 8 * q^29 + 72 * q^30 + 32 * q^32 + 32 * q^34 - 8 * q^35 + 72 * q^36 - 8 * q^37 + 32 * q^38 - 8 * q^39 + 32 * q^40 - 8 * q^41 + 32 * q^42 - 8 * q^43 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 - 32 * q^50 + 24 * q^51 - 56 * q^52 - 8 * q^53 - 72 * q^54 + 56 * q^55 - 64 * q^56 - 8 * q^57 - 80 * q^58 + 56 * q^59 - 104 * q^60 - 8 * q^61 - 40 * q^62 + 64 * q^63 - 104 * q^64 - 16 * q^65 - 88 * q^66 + 72 * q^67 - 56 * q^68 - 8 * q^69 - 104 * q^70 + 56 * q^71 - 80 * q^72 - 8 * q^73 - 64 * q^74 + 56 * q^75 - 72 * q^76 - 8 * q^77 - 32 * q^78 + 24 * q^79 + 32 * q^80 - 8 * q^81 + 72 * q^82 - 8 * q^83 + 104 * q^84 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 72 * q^88 - 8 * q^89 + 136 * q^90 - 8 * q^91 + 144 * q^92 + 16 * q^93 + 88 * q^94 + 128 * q^96 + 128 * q^98 + 16 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/64\mathbb{Z}\right)^\times$.

$n$	$5$	$63$
$\chi(n)$	$e\left(\frac{13}{16}\right)$	$1$

Coefficient data

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

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

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

$2$	1.26428	−	0.633715i	0.893981	−	0.448104i
$2$	1.26428	−	0.633715i	0.893981	−	0.448104i
$3$	0.152968	+	0.769021i	0.0883160	+	0.443995i	0.999489	+	0.0319702i	$0.0101782\pi$
$3$	0.152968	+	0.769021i	0.0883160	+	0.443995i	−0.911173	+	0.412024i	$0.864822\pi$
$4$	1.19681	−	1.60239i	0.598405	−	0.801194i
$5$	−2.78737	+	1.86246i	−1.24655	+	0.832919i	−0.990998	−	0.133876i	$-0.957258\pi$
$5$	−2.78737	+	1.86246i	−1.24655	+	0.832919i	−0.255553	+	0.966795i	$0.582258\pi$
$6$	0.680735	+	0.875320i	0.277909	+	0.357348i
$7$	−3.13672	−	1.29927i	−1.18557	−	0.491078i	−0.299258	−	0.954172i	$-0.596739\pi$
$7$	−3.13672	−	1.29927i	−1.18557	−	0.491078i	−0.886309	+	0.463094i	$0.846739\pi$
$8$	0.497646	−	2.78430i	0.175944	−	0.984400i
$9$	2.20364	−	0.912779i	0.734548	−	0.304260i
$10$	−2.34375	+	4.12108i	−0.741159	+	1.30320i
$11$	−1.79402	−	0.356853i	−0.540918	−	0.107595i	−0.0829328	−	0.996555i	$-0.526429\pi$
$11$	−1.79402	−	0.356853i	−0.540918	−	0.107595i	−0.457985	+	0.888960i	$0.651429\pi$
$12$	1.41534	+	0.675258i	0.408575	+	0.194930i
$13$	4.34710	+	2.90464i	1.20567	+	0.805603i	0.985470	−	0.169852i	$-0.0543291\pi$
$13$	4.34710	+	2.90464i	1.20567	+	0.805603i	0.220200	+	0.975455i	$0.429329\pi$
$14$	−4.78906	+	0.345143i	−1.27993	+	0.0922433i
$15$	−1.85865	−	1.85865i	−0.479902	−	0.479902i
$16$	−1.13529	−	3.83551i	−0.283823	−	0.958877i
$17$	−1.16196	+	1.16196i	−0.281818	+	0.281818i	−0.833834	−	0.552016i	$-0.813859\pi$
$17$	−1.16196	+	1.16196i	−0.281818	+	0.281818i	0.552016	+	0.833834i	$0.313859\pi$
$18$	2.20758	−	2.55049i	0.520332	−	0.601157i
$19$	−0.00265155	+	0.00396832i	−0.000608307	+	0.000910395i	−0.831774	−	0.555115i	$-0.812674\pi$
$19$	−0.00265155	+	0.00396832i	−0.000608307	+	0.000910395i	0.831165	+	0.556025i	$0.187674\pi$
$20$	−0.351568	+	6.69547i	−0.0786129	+	1.49715i
$21$	0.519350	−	2.61095i	0.113331	−	0.569755i
$22$	−2.49429	+	0.685737i	−0.531784	+	0.146200i
$23$	1.78945	+	4.32013i	0.373127	+	0.900809i	0.993217	+	0.116278i	$0.0370962\pi$
$23$	1.78945	+	4.32013i	0.373127	+	0.900809i	−0.620090	+	0.784531i	$0.712904\pi$
$24$	2.21731	−	0.0432088i	0.452607	−	0.00881997i
$25$	2.38726	−	5.76336i	0.477452	−	1.15267i
$26$	7.33667	+	0.917455i	1.43884	+	0.179928i
$27$	2.34588	+	3.51086i	0.451465	+	0.675665i
$28$	−5.83599	+	3.47126i	−1.10290	+	0.656006i
$29$	−1.70191	+	0.338531i	−0.316037	+	0.0628637i	−0.350560	−	0.936540i	$-0.614009\pi$
$29$	−1.70191	+	0.338531i	−0.316037	+	0.0628637i	0.0345231	+	0.999404i	$0.489009\pi$
$30$	−3.52771	−	1.17200i	−0.644069	−	0.213977i
$31$		−	9.42685i		−	1.69311i	−0.532300	−	0.846556i	$-0.678672\pi$
$31$		−	9.42685i		−	1.69311i	0.532300	−	0.846556i	$-0.321328\pi$
$32$	−3.86595	−	4.12970i	−0.683409	−	0.730035i
$33$		−	1.43423i		−	0.249667i
$34$	−0.732694	+	2.20540i	−0.125656	+	0.378224i
$35$	11.1630	−	2.22047i	1.88690	−	0.375327i
$36$	1.17472	−	4.62352i	0.195786	−	0.770586i
$37$	−1.47130	−	2.20195i	−0.241880	−	0.361999i	0.690590	−	0.723246i	$-0.257351\pi$
$37$	−1.47130	−	2.20195i	−0.241880	−	0.361999i	−0.932470	+	0.361248i	$0.882351\pi$
$38$	−0.000837513		0.00669740i	−0.000135863		0.00108646i
$39$	−1.56876	+	3.78733i	−0.251203	+	0.606458i
$40$	3.79854	+	8.68774i	0.600602	+	1.37365i
$41$	0.497436	+	1.20092i	0.0776864	+	0.187552i	0.957951	−	0.286931i	$-0.0926351\pi$
$41$	0.497436	+	1.20092i	0.0776864	+	0.187552i	−0.880265	+	0.474483i	$0.842635\pi$
$42$	−0.997994	−	3.63009i	−0.153994	−	0.560135i
$43$	0.104068	−	0.523183i	0.0158702	−	0.0797847i	−0.972039	−	0.234821i	$-0.924550\pi$
$43$	0.104068	−	0.523183i	0.0158702	−	0.0797847i	0.987909	+	0.155037i	$0.0495495\pi$
$44$	−2.71892	+	2.44763i	−0.409893	+	0.368995i
$45$	−4.44236	+	6.64846i	−0.662228	+	0.991094i
$46$	5.00010	+	4.32785i	0.737225	+	0.638106i
$47$	−0.378819	+	0.378819i	−0.0552564	+	0.0552564i	−0.734195	−	0.678939i	$-0.762440\pi$
$47$	−0.378819	+	0.378819i	−0.0552564	+	0.0552564i	0.678939	+	0.734195i	$0.262440\pi$
$48$	2.77592	−	1.45977i	0.400670	−	0.210700i
$49$	3.20113	+	3.20113i	0.457305	+	0.457305i
$50$	−0.634161	−	8.79935i	−0.0896839	−	1.24442i
$51$	−1.07132	−	0.715832i	−0.150015	−	0.100237i
$52$	9.85702	−	3.48944i	1.36692	−	0.483898i
$53$	−3.63594	−	0.723233i	−0.499435	−	0.0993438i	−0.0610565	−	0.998134i	$-0.519447\pi$
$53$	−3.63594	−	0.723233i	−0.499435	−	0.0993438i	−0.438378	+	0.898791i	$0.644447\pi$
$54$	5.19073	+	2.95209i	0.706369	+	0.401728i
$55$	5.66523	−	2.34662i	0.763900	−	0.316418i
$56$	−5.17854	+	8.08699i	−0.692011	+	1.08067i
$57$	−0.00345732	−	0.00143207i	−0.000457934	−	0.000189682i
$58$	−1.93716	+	1.50653i	−0.254362	+	0.197816i
$59$	−11.1857	+	7.47403i	−1.45625	+	0.973036i	−0.459874	+	0.887984i	$0.652105\pi$
$59$	−11.1857	+	7.47403i	−1.45625	+	0.973036i	−0.996377	+	0.0850514i	$0.972895\pi$
$60$	−5.20273	+	0.753828i	−0.671670	+	0.0973188i
$61$	−1.29788	−	6.52488i	−0.166176	−	0.835425i	−0.970475	−	0.241200i	$-0.922459\pi$
$61$	−1.29788	−	6.52488i	−0.166176	−	0.835425i	0.804299	−	0.594225i	$-0.202541\pi$
$62$	−5.97394	−	11.9182i	−0.758691	−	1.51361i
$63$	−8.09815			−1.02027
$64$	−7.50470	−	2.77119i	−0.938087	−	0.346399i
$65$	−17.5268			−2.17393
$66$	−0.908892	−	1.81327i	−0.111877	−	0.223198i
$67$	1.46964	+	7.38837i	0.179545	+	0.902633i	0.960550	+	0.278108i	$0.0897074\pi$
$67$	1.46964	+	7.38837i	0.179545	+	0.902633i	−0.781005	+	0.624525i	$0.785293\pi$
$68$	0.471267	+	3.25257i	0.0571495	+	0.394432i
$69$	−3.04854	+	2.03697i	−0.367001	+	0.245222i
$70$	12.7061	−	9.88148i	1.51867	−	1.18106i
$71$	5.03495	+	2.08554i	0.597538	+	0.247508i	0.660890	−	0.750483i	$-0.270179\pi$
$71$	5.03495	+	2.08554i	0.597538	+	0.247508i	−0.0633517	+	0.997991i	$0.520179\pi$
$72$	−1.44482	−	6.58986i	−0.170274	−	0.776622i
$73$	−4.53632	+	1.87901i	−0.530936	+	0.219921i	−0.632013	−	0.774958i	$-0.717771\pi$
$73$	−4.53632	+	1.87901i	−0.530936	+	0.219921i	0.101077	+	0.994879i	$0.467771\pi$
$74$	−3.25554	−	1.85150i	−0.378449	−	0.215233i
$75$	4.79732	+	0.954247i	0.553947	+	0.110187i
$76$	0.00318539	+	0.00899813i	0.000365389	+	0.00103216i
$77$	5.16369	+	3.45027i	0.588457	+	0.393194i
$78$	0.416732	+	5.78240i	0.0471856	+	0.654728i
$79$	11.3984	+	11.3984i	1.28242	+	1.28242i	0.939287	+	0.343133i	$0.111488\pi$
$79$	11.3984	+	11.3984i	1.28242	+	1.28242i	0.343133	+	0.939287i	$0.388512\pi$
$80$	10.3080	+	8.57655i	1.15247	+	0.958887i
$81$	2.71871	−	2.71871i	0.302079	−	0.302079i
$82$	1.38994	+	1.20306i	0.153493	+	0.132856i
$83$	3.35370	−	5.01916i	0.368116	−	0.550925i	−0.600456	−	0.799658i	$-0.705014\pi$
$83$	3.35370	−	5.01916i	0.368116	−	0.550925i	0.968572	+	0.248733i	$0.0800142\pi$
$84$	−3.56219	−	3.95701i	−0.388666	−	0.431745i
$85$	1.07471	−	5.40294i	0.116569	−	0.586032i
$86$	−0.199978	−	0.727399i	−0.0215642	−	0.0784375i
$87$	−0.520675	−	1.25702i	−0.0558223	−	0.134767i
$88$	−1.88637	+	4.81752i	−0.201088	+	0.513549i
$89$	4.25907	−	10.2823i	0.451460	−	1.08992i	−0.520307	−	0.853980i	$-0.674182\pi$
$89$	4.25907	−	10.2823i	0.451460	−	1.08992i	0.971767	−	0.235942i	$-0.0758177\pi$
$90$	−1.40316	+	11.2207i	−0.147906	+	1.18277i
$91$	−9.86171	−	14.7591i	−1.03379	−	1.54717i
$92$	9.06415	+	2.30297i	0.945003	+	0.240101i
$93$	7.24944	−	1.44200i	0.751732	−	0.149529i
$94$	−0.238870	+	0.718996i	−0.0246375	+	0.0741588i
$95$		−	0.0159996i		−	0.00164152i
$96$	2.58446	−	3.60471i	0.263776	−	0.367904i
$97$			12.2846i			1.24731i	0.781698	+	0.623657i	$0.214354\pi$
$97$			12.2846i			1.24731i	−0.781698	+	0.623657i	$0.785646\pi$
$98$	6.07574	+	2.01852i	0.613742	+	0.203902i
$99$	−4.27911	+	0.851169i	−0.430067	+	0.0855457i
$100$	−6.37804	−	10.7230i	−0.637804	−	1.07230i
$101$	−1.04551	−	1.56472i	−0.104032	−	0.155695i	0.775801	−	0.630978i	$-0.217346\pi$
$101$	−1.04551	−	1.56472i	−0.104032	−	0.155695i	−0.879833	+	0.475282i	$0.842346\pi$
$102$	−1.80808	−	0.226102i	−0.179027	−	0.0223874i
$103$	−4.50995	+	10.8880i	−0.444379	+	1.07283i	0.530017	+	0.847987i	$0.322186\pi$
$103$	−4.50995	+	10.8880i	−0.444379	+	1.07283i	−0.974396	+	0.224839i	$0.927814\pi$
$104$	10.2507	−	10.6582i	1.00517	−	1.04512i
$105$	3.41517	+	8.24495i	0.333287	+	0.804625i
$106$	−5.05517	+	1.38978i	−0.491002	+	0.134987i
$107$	2.90641	−	14.6115i	0.280973	−	1.41255i	−0.540042	−	0.841638i	$-0.681592\pi$
$107$	2.90641	−	14.6115i	0.280973	−	1.41255i	0.821014	−	0.570907i	$-0.193408\pi$
$108$	8.43333	+	0.442820i	0.811497	+	0.0426104i
$109$	8.04402	−	12.0387i	0.770478	−	1.15310i	−0.213870	−	0.976862i	$-0.568607\pi$
$109$	8.04402	−	12.0387i	0.770478	−	1.15310i	0.984347	−	0.176239i	$-0.0563932\pi$
$110$	5.67536	−	6.55693i	0.541124	−	0.625178i
$111$	1.46829	−	1.46829i	0.139364	−	0.139364i
$112$	−1.42227	+	13.5059i	−0.134392	+	1.27619i
$113$	9.94034	+	9.94034i	0.935109	+	0.935109i	0.998019	−	0.0629105i	$-0.0200383\pi$
$113$	9.94034	+	9.94034i	0.935109	+	0.935109i	−0.0629105	+	0.998019i	$0.520038\pi$
$114$	−0.00527855		0.000380420i	−0.000494382		3.56296e-5i
$115$	−13.0340	−	8.70901i	−1.21542	−	0.812119i
$116$	−1.49441	+	3.13228i	−0.138752	+	0.290825i
$117$	12.2308	+	2.43285i	1.13073	+	0.224917i
$118$	−9.40542	+	16.5378i	−0.865839	+	1.52243i
$119$	5.15446	−	2.13505i	0.472508	−	0.195719i
$120$	−6.10000	+	4.25010i	−0.556852	+	0.387979i
$121$	−7.07151	−	2.92911i	−0.642864	−	0.266283i
$122$	−5.77580	−	7.42679i	−0.522916	−	0.672390i
$123$	−0.847439	+	0.566240i	−0.0764110	+	0.0510562i
$124$	−15.1055	−	11.2821i	−1.35651	−	1.01317i
$125$	0.809807	+	4.07117i	0.0724313	+	0.364137i
$126$	−10.2383	+	5.13192i	−0.912103	+	0.457188i
$127$	13.3100			1.18107			0.590534	−	0.807013i	$-0.298917\pi$
$127$	13.3100			1.18107			0.590534	+	0.807013i	$0.298917\pi$
$128$	−11.2442	+	1.25228i	−0.993855	+	0.110687i
$129$	0.418258			0.0368255
$130$	−22.1588	+	11.1070i	−1.94345	+	0.974148i
$131$	0.318596	+	1.60169i	0.0278359	+	0.139940i	0.992204	−	0.124623i	$-0.0397721\pi$
$131$	0.318596	+	1.60169i	0.0278359	+	0.139940i	−0.964368	+	0.264563i	$0.914772\pi$
$132$	−2.29819	−	1.71650i	−0.200032	−	0.149402i
$133$	0.0134731	−	0.00900242i	0.00116826	−	0.000780609i
$134$	6.54016	+	8.40964i	0.564984	+	0.726482i
$135$	−13.0777	−	5.41695i	−1.12555	−	0.466217i
$136$	2.65702	+	3.81351i	0.227837	+	0.327006i
$137$	−6.96260	+	2.88400i	−0.594855	+	0.246397i	−0.659738	−	0.751496i	$-0.729333\pi$
$137$	−6.96260	+	2.88400i	−0.594855	+	0.246397i	0.0648827	+	0.997893i	$0.479333\pi$
$138$	−2.56335	+	4.50721i	−0.218207	+	0.383679i
$139$	−4.03376	−	0.802365i	−0.342139	−	0.0680557i	0.0210303	−	0.999779i	$-0.493305\pi$
$139$	−4.03376	−	0.802365i	−0.342139	−	0.0680557i	−0.363169	+	0.931723i	$0.618305\pi$
$140$	9.80199	−	20.5450i	0.828419	−	1.73637i
$141$	−0.349267	−	0.233372i	−0.0294136	−	0.0196535i
$142$	7.68722	−	0.554011i	0.645098	−	0.0464916i
$143$	−6.76227	−	6.76227i	−0.565489	−	0.565489i
$144$	−6.00275	−	7.41582i	−0.500229	−	0.617985i
$145$	4.11336	−	4.11336i	0.341596	−	0.341596i
$146$	−4.54443	+	5.25033i	−0.376100	+	0.434520i
$147$	−1.97207	+	2.95141i	−0.162654	+	0.243428i
$148$	−5.28924	−	0.277729i	−0.434773	−	0.0228292i
$149$	0.992028	−	4.98726i	0.0812701	−	0.408573i	−0.918639	−	0.395098i	$-0.870711\pi$
$149$	0.992028	−	4.98726i	0.0812701	−	0.408573i	0.999909	−	0.0134748i	$-0.00428929\pi$
$150$	6.66988	−	1.83370i	0.544593	−	0.149721i
$151$	−0.957754	−	2.31222i	−0.0779409	−	0.188166i	0.880106	−	0.474777i	$-0.157471\pi$
$151$	−0.957754	−	2.31222i	−0.0779409	−	0.188166i	−0.958047	+	0.286611i	$0.907471\pi$
$152$	0.00972948	+	0.00935753i	0.000789165	+	0.000758996i
$153$	−1.49994	+	3.62117i	−0.121263	+	0.292754i
$154$	8.71483	+	1.08980i	0.702261	+	0.0878182i
$155$	17.5572	+	26.2761i	1.41022	+	2.11055i
$156$	4.19126	+	7.04648i	0.335569	+	0.564170i
$157$	−12.6061	+	2.50752i	−1.00608	+	0.200122i	−0.670515	−	0.741896i	$-0.733927\pi$
$157$	−12.6061	+	2.50752i	−1.00608	+	0.200122i	−0.335564	+	0.942017i	$0.608927\pi$
$158$	21.6341	+	7.18743i	1.72112	+	0.571801i
$159$		−	2.90675i		−	0.230520i
$160$	18.4673	+	4.31084i	1.45996	+	0.340802i
$161$		−	15.8760i		−	1.25120i
$162$	1.71432	−	5.16010i	0.134690	−	0.405416i
$163$	−12.1793	+	2.42260i	−0.953953	+	0.189753i	−0.647443	−	0.762114i	$-0.724161\pi$
$163$	−12.1793	+	2.42260i	−0.953953	+	0.189753i	−0.306510	+	0.951867i	$0.599161\pi$
$164$	2.51967	+	0.640184i	0.196753	+	0.0499899i
$165$	2.67120	+	3.99773i	0.207952	+	0.311223i
$166$	1.05929	−	8.47092i	0.0822171	−	0.657471i
$167$	4.69682	−	11.3391i	0.363451	−	0.877448i	−0.631339	−	0.775507i	$-0.717495\pi$
$167$	4.69682	−	11.3391i	0.363451	−	0.877448i	0.994790	−	0.101942i	$-0.0325055\pi$
$168$	−7.01122	−	2.74535i	−0.540927	−	0.211809i
$169$	5.48548	+	13.2431i	0.421960	+	1.01870i
$170$	−2.06519	−	7.51190i	−0.158393	−	0.576136i
$171$	−0.00222087	+	0.0111650i	−0.000169834	+	0.000853812i
$172$	−0.713793	−	0.792907i	−0.0544262	−	0.0604586i
$173$	−3.09606	+	4.63358i	−0.235389	+	0.352285i	−0.930293	−	0.366818i	$-0.880447\pi$
$173$	−3.09606	+	4.63358i	−0.235389	+	0.352285i	0.694903	+	0.719103i	$0.255447\pi$
$174$	−1.45487	−	1.25927i	−0.110294	−	0.0954648i
$175$	−14.9763	+	14.9763i	−1.13210	+	1.13210i
$176$	0.668027	+	7.28611i	0.0503544	+	0.549212i
$177$	−7.45873	−	7.45873i	−0.560633	−	0.560633i
$178$	−1.13139	−	15.6988i	−0.0848016	−	1.17667i
$179$	−0.829076	−	0.553971i	−0.0619681	−	0.0414057i	0.524200	−	0.851595i	$-0.324364\pi$
$179$	−0.829076	−	0.553971i	−0.0619681	−	0.0414057i	−0.586168	+	0.810189i	$0.699364\pi$
$180$	5.33675	+	15.0753i	0.397778	+	1.12365i
$181$	17.2786	+	3.43692i	1.28430	+	0.255464i	0.789613	−	0.613605i	$-0.210281\pi$
$181$	17.2786	+	3.43692i	1.28430	+	0.255464i	0.494691	+	0.869069i	$0.335281\pi$
$182$	−21.8210	−	12.4101i	−1.61748	−	0.919899i
$183$	4.81923	−	1.99619i	0.356248	−	0.147563i
$184$	12.9191	−	2.83249i	0.952406	−	0.208814i
$185$	8.20211	+	3.39743i	0.603031	+	0.249784i
$186$	8.25151	−	6.41718i	0.605030	−	0.470531i
$187$	2.49924	−	1.66994i	0.182763	−	0.122118i
$188$	0.153640	+	1.06039i	0.0112054	+	0.0773367i
$189$	−2.79681	−	14.0605i	−0.203438	−	1.02275i
$190$	−0.0101392	−	0.0202280i	−0.000735574	−	0.00146749i
$191$	−6.00046			−0.434178			−0.217089	−	0.976152i	$-0.569656\pi$
$191$	−6.00046			−0.434178			−0.217089	+	0.976152i	$0.569656\pi$
$192$	0.983130	−	6.19518i	0.0709513	−	0.447098i
$193$	8.98517			0.646767			0.323383	−	0.946268i	$-0.395180\pi$
$193$	8.98517			0.646767			0.323383	+	0.946268i	$0.395180\pi$
$194$	7.78496	+	15.5312i	0.558927	+	1.11508i
$195$	−2.68103	−	13.4785i	−0.191993	−	0.965213i
$196$	8.96061	−	1.29831i	0.640043	−	0.0927364i
$197$	−9.91120	+	6.62245i	−0.706144	+	0.471830i	−0.856065	−	0.516868i	$-0.827098\pi$
$197$	−9.91120	+	6.62245i	−0.706144	+	0.471830i	0.149921	+	0.988698i	$0.452098\pi$
$198$	−4.87060	+	3.78786i	−0.346138	+	0.269191i
$199$	0.782393	+	0.324078i	0.0554624	+	0.0229733i	0.410242	−	0.911977i	$-0.365444\pi$
$199$	0.782393	+	0.324078i	0.0554624	+	0.0229733i	−0.354780	+	0.934950i	$0.615444\pi$
$200$	−14.8589	−	9.51498i	−1.05069	−	0.672810i
$201$	−5.45701	+	2.26037i	−0.384908	+	0.159434i
$202$	−2.31341	−	1.31569i	−0.162771	−	0.0925714i
$203$	5.77826	+	1.14937i	0.405554	+	0.0806697i
$204$	−2.42921	+	0.859953i	−0.170078	+	0.0602087i
$205$	−3.62320	−	2.42095i	−0.253055	−	0.169086i
$206$	1.19804	+	16.6235i	0.0834715	+	1.15821i
$207$	7.88664	+	7.88664i	0.548160	+	0.548160i
$208$	6.20554	−	19.9710i	0.430277	−	1.38474i
$209$	0.00617304	−	0.00617304i	0.000426998	−	0.000426998i
$210$	9.54269	+	8.25969i	0.658508	+	0.569973i
$211$	−4.82250	+	7.21737i	−0.331994	+	0.496865i	−0.959485	−	0.281759i	$-0.909082\pi$
$211$	−4.82250	+	7.21737i	−0.331994	+	0.496865i	0.627491	+	0.778624i	$0.284082\pi$
$212$	−5.51043	+	4.96061i	−0.378458	+	0.340696i
$213$	−0.833642	+	4.19100i	−0.0571202	+	0.287163i
$214$	−5.58501	−	20.3149i	−0.381784	−	1.38869i
$215$	0.684334	+	1.65213i	0.0466712	+	0.112674i
$216$	10.9427	−	4.78448i	0.744557	−	0.325543i
$217$	−12.2480	+	29.5693i	−0.831450	+	2.00730i
$218$	2.54077	−	20.3180i	0.172083	−	1.37611i
$219$	−2.13891	−	3.20110i	−0.144534	−	0.216310i
$220$	3.02002	−	11.8864i	0.203610	−	0.801378i
$221$	−8.42627	+	1.67609i	−0.566812	+	0.112746i
$222$	0.925851	−	2.78680i	0.0621390	−	0.187038i
$223$			10.1030i			0.676547i	0.941048	+	0.338273i	$0.109843\pi$
$223$			10.1030i			0.676547i	−0.941048	+	0.338273i	$0.890157\pi$
$224$	6.76078	+	17.9766i	0.451723	+	1.20111i
$225$		−	14.8794i		−	0.991963i
$226$	18.8667	+	6.26803i	1.25500	+	0.416943i
$227$	17.3254	−	3.44624i	1.14993	−	0.228735i	0.416912	−	0.908947i	$-0.363112\pi$
$227$	17.3254	−	3.44624i	1.14993	−	0.228735i	0.733016	+	0.680212i	$0.238112\pi$
$228$	−0.00643249	+	0.00382606i	−0.000426002	+	0.000253387i
$229$	3.76160	+	5.62963i	0.248574	+	0.372017i	0.934683	−	0.355481i	$-0.115683\pi$
$229$	3.76160	+	5.62963i	0.248574	+	0.372017i	−0.686110	+	0.727498i	$0.740683\pi$
$230$	−21.9976	−	2.75081i	−1.45048	−	0.181383i
$231$	−1.86345	+	4.49876i	−0.122606	+	0.295997i
$232$	0.0956249	+	4.90711i	0.00627808	+	0.322167i
$233$	−11.2794	−	27.2309i	−0.738939	−	1.78396i	−0.610152	−	0.792285i	$-0.708892\pi$
$233$	−11.2794	−	27.2309i	−0.738939	−	1.78396i	−0.128787	−	0.991672i	$-0.541108\pi$
$234$	17.0048	−	4.67502i	1.11164	−	0.305615i
$235$	0.350373	−	1.76144i	0.0228558	−	0.114904i
$236$	−1.41083	+	26.8688i	−0.0918375	+	1.74901i
$237$	−7.02202	+	10.5092i	−0.456129	+	0.682646i
$238$	5.16367	−	5.96576i	0.334711	−	0.386703i
$239$	4.91117	−	4.91117i	0.317677	−	0.317677i	−0.530197	−	0.847874i	$-0.677882\pi$
$239$	4.91117	−	4.91117i	0.317677	−	0.317677i	0.847874	+	0.530197i	$0.177882\pi$
$240$	−5.01876	+	9.23899i	−0.323960	+	0.596374i
$241$	−15.9105	−	15.9105i	−1.02488	−	1.02488i	−0.999682	−	0.0252016i	$-0.991977\pi$
$241$	−15.9105	−	15.9105i	−1.02488	−	1.02488i	−0.0252016	−	0.999682i	$-0.508023\pi$
$242$	−10.7966	+	0.778100i	−0.694031	+	0.0500182i
$243$	13.0392	+	8.71251i	0.836465	+	0.558908i
$244$	−12.0087	−	5.72933i	−0.768778	−	0.366783i
$245$	−14.8848	−	2.96076i	−0.950952	−	0.189156i
$246$	−0.712565	+	1.25292i	−0.0454315	+	0.0798834i
$247$	−0.0230531	+	0.00954890i	−0.00146683	+	0.000607582i
$248$	−26.2472	−	4.69123i	−1.66670	−	0.297893i
$249$	4.37285	+	1.81129i	0.277118	+	0.114786i
$250$	3.60379	+	4.63392i	0.227923	+	0.293075i
$251$	13.4114	−	8.96124i	0.846523	−	0.565628i	−0.0549377	−	0.998490i	$-0.517496\pi$
$251$	13.4114	−	8.96124i	0.846523	−	0.565628i	0.901461	+	0.432861i	$0.142496\pi$
$252$	−9.69195	+	12.9764i	−0.610535	+	0.817435i
$253$	−1.66867	−	8.38897i	−0.104908	−	0.527410i
$254$	16.8275	−	8.43472i	1.05585	−	0.529242i
$255$	4.31938			0.270490
$256$	−13.4222	+	8.70884i	−0.838889	+	0.544303i
$257$	13.4126			0.836653			0.418327	−	0.908297i	$-0.362617\pi$
$257$	13.4126			0.836653			0.418327	+	0.908297i	$0.362617\pi$
$258$	0.528795	−	0.265056i	0.0329214	−	0.0165017i
$259$	1.75411	+	8.81851i	0.108995	+	0.547956i
$260$	−20.9762	+	28.0847i	−1.30089	+	1.74174i
$261$	−3.44140	+	2.29947i	−0.213017	+	0.142334i
$262$	1.41781	+	1.82309i	0.0875927	+	0.112631i
$263$	−5.51629	−	2.28492i	−0.340149	−	0.140894i	0.206069	−	0.978538i	$-0.433933\pi$
$263$	−5.51629	−	2.28492i	−0.340149	−	0.140894i	−0.546218	+	0.837643i	$0.683933\pi$
$264$	−3.99333	−	0.713737i	−0.245772	−	0.0439275i
$265$	11.4817	−	4.75588i	0.705316	−	0.292152i
$266$	0.0113288	−	0.0199197i	0.000694611	−	0.00122135i
$267$	8.55881	+	1.70245i	0.523791	+	0.104188i
$268$	13.5979	+	6.48755i	0.830625	+	0.396290i
$269$	−7.39748	−	4.94284i	−0.451032	−	0.301370i	0.309229	−	0.950988i	$-0.399929\pi$
$269$	−7.39748	−	4.94284i	−0.451032	−	0.301370i	−0.760261	+	0.649617i	$0.774929\pi$
$270$	−19.9667	+	1.43898i	−1.21513	+	0.0875735i
$271$	3.27670	+	3.27670i	0.199046	+	0.199046i	0.799591	−	0.600545i	$-0.205050\pi$
$271$	3.27670	+	3.27670i	0.199046	+	0.199046i	−0.600545	+	0.799591i	$0.705050\pi$
$272$	5.77589	+	3.13755i	0.350215	+	0.190242i
$273$	9.84153	−	9.84153i	0.595637	−	0.595637i
$274$	−6.97504	+	8.05850i	−0.421378	+	0.486832i
$275$	−6.33947	+	9.48769i	−0.382285	+	0.572129i
$276$	−0.384508	+	7.32281i	−0.0231447	+	0.440781i
$277$	−1.81203	+	9.10969i	−0.108874	+	0.547348i	0.887392	+	0.461016i	$0.152515\pi$
$277$	−1.81203	+	9.10969i	−0.108874	+	0.547348i	−0.996266	+	0.0863327i	$0.972485\pi$
$278$	−5.60827	+	1.54184i	−0.336362	+	0.0924735i
$279$	−8.60463	−	20.7734i	−0.515146	−	1.24367i
$280$	−0.627215	−	32.1863i	−0.0374833	−	1.92350i
$281$	7.02651	−	16.9635i	0.419166	−	1.01196i	−0.563424	−	0.826168i	$-0.690516\pi$
$281$	7.02651	−	16.9635i	0.419166	−	1.01196i	0.982590	−	0.185789i	$-0.0594840\pi$
$282$	−0.589463	−	0.0737127i	−0.0351020	−	0.00438953i
$283$	2.58111	+	3.86291i	0.153431	+	0.229626i	0.900220	−	0.435435i	$-0.143405\pi$
$283$	2.58111	+	3.86291i	0.153431	+	0.229626i	−0.746789	+	0.665061i	$0.768405\pi$
$284$	9.36772	−	5.57194i	0.555872	−	0.330634i
$285$	0.0123040	−	0.00244742i	0.000728828	−	0.000144973i
$286$	−12.8348	−	4.26405i	−0.758935	−	0.252139i
$287$		−	4.41324i		−	0.260505i
$288$	−12.2887	−	5.57164i	−0.724117	−	0.328312i
$289$			14.2997i			0.841158i
$290$	2.59374	−	7.80714i	0.152310	−	0.458451i
$291$	−9.44714	+	1.87915i	−0.553801	+	0.110158i
$292$	−2.41822	+	9.51776i	−0.141516	+	0.556985i
$293$	4.12834	+	6.17849i	0.241180	+	0.360951i	0.932237	−	0.361849i	$-0.117854\pi$
$293$	4.12834	+	6.17849i	0.241180	+	0.360951i	−0.691057	+	0.722801i	$0.742854\pi$
$294$	−0.622895	+	4.98114i	−0.0363280	+	0.290506i
$295$	17.2585	−	41.6658i	1.00483	−	2.42588i
$296$	−6.86309	+	3.00075i	−0.398909	+	0.174415i
$297$	−2.95570	−	7.13569i	−0.171507	−	0.414055i
$298$	−1.90630	−	6.93396i	−0.110429	−	0.401674i
$299$	−4.76947	+	23.9778i	−0.275826	+	1.38667i
$300$	7.27055	−	6.54512i	0.419766	−	0.377883i
$301$	−1.00619	+	1.50586i	−0.0579956	+	0.0867966i
$302$	−2.67616	−	2.31635i	−0.153996	−	0.133291i
$303$	1.04337	−	1.04337i	0.0599402	−	0.0599402i
$304$	0.0182308	+	0.00566482i	0.00104561	+	0.000324900i
$305$	15.7700	+	15.7700i	0.902988	+	0.902988i
$306$	0.398449	+	5.52871i	0.0227778	+	0.316055i
$307$	−4.22026	−	2.81989i	−0.240863	−	0.160939i	0.429280	−	0.903171i	$-0.358767\pi$
$307$	−4.22026	−	2.81989i	−0.240863	−	0.160939i	−0.670143	+	0.742232i	$0.733767\pi$
$308$	11.7086	−	4.14492i	0.667160	−	0.236179i
$309$	−9.06298	−	1.80274i	−0.515575	−	0.102554i
$310$	38.8488	+	22.0942i	2.20646	+	1.25486i
$311$	−28.5642	+	11.8317i	−1.61972	+	0.670912i	−0.994025	−	0.109152i	$-0.965186\pi$
$311$	−28.5642	+	11.8317i	−1.61972	+	0.670912i	−0.625699	+	0.780064i	$0.715186\pi$
$312$	9.76439	+	6.25266i	0.552800	+	0.353987i
$313$	−8.76475	−	3.63048i	−0.495413	−	0.205207i	0.120966	−	0.992657i	$-0.461401\pi$
$313$	−8.76475	−	3.63048i	−0.495413	−	0.205207i	−0.616379	+	0.787450i	$0.711401\pi$
$314$	−14.3486	+	11.1589i	−0.809740	+	0.629733i
$315$	22.5726	−	15.0825i	1.27182	−	0.849803i
$316$	31.9064	−	4.62294i	1.79487	−	0.260060i
$317$	3.95679	+	19.8921i	0.222235	+	1.11725i	0.917267	+	0.398274i	$0.130391\pi$
$317$	3.95679	+	19.8921i	0.222235	+	1.11725i	−0.695031	+	0.718980i	$0.744609\pi$
$318$	−1.84205	−	3.67494i	−0.103297	−	0.206081i
$319$	3.17407			0.177714
$320$	26.0796	−	6.25287i	1.45790	−	0.349546i
$321$	11.6811			0.651977
$322$	−10.0609	−	20.0717i	−0.560670	−	1.11855i
$323$	−0.00153004	−	0.00769205i	−8.51339e−5	−	0.000427997i
$324$	−1.10265	−	7.61020i	−0.0612582	−	0.422789i
$325$	27.1182	−	18.1198i	1.50425	−	1.00510i
$326$	−13.8628	+	10.7810i	−0.767787	+	0.597106i
$327$	10.4885	+	4.34449i	0.580016	+	0.240251i
$328$	3.59126	−	0.787382i	0.198294	−	0.0434759i
$329$	1.68043	−	0.696058i	0.0926453	−	0.0383749i
$330$	5.91056	+	3.36147i	0.325366	+	0.185043i
$331$	25.0847	+	4.98965i	1.37878	+	0.274256i	0.828155	−	0.560498i	$-0.189390\pi$
$331$	25.0847	+	4.98965i	1.37878	+	0.274256i	0.550622	+	0.834754i	$0.314390\pi$
$332$	−4.02891	−	11.3809i	−0.221115	−	0.624608i
$333$	−5.25211	−	3.50935i	−0.287814	−	0.192311i
$334$	−1.24768	−	17.3123i	−0.0682701	−	0.947286i
$335$	−17.8570	−	17.8570i	−0.975632	−	0.975632i
$336$	−10.6039	+	0.972219i	−0.578491	+	0.0530389i
$337$	1.30903	−	1.30903i	0.0713075	−	0.0713075i	−0.670554	−	0.741861i	$-0.733943\pi$
$337$	1.30903	−	1.30903i	0.0713075	−	0.0713075i	0.741861	+	0.670554i	$0.233943\pi$
$338$	15.3275	+	13.2668i	0.833709	+	0.721618i
$339$	−6.12378	+	9.16489i	−0.332598	+	0.497768i
$340$	−7.37138	−	8.18840i	−0.399769	−	0.444078i
$341$	−3.36400	+	16.9120i	−0.182171	+	0.915834i
$342$	0.00426766	+	0.0155231i	0.000230769	+	0.000839395i
$343$	3.21298	+	7.75682i	0.173485	+	0.418829i
$344$	−1.40491	−	0.550116i	−0.0757478	−	0.0296602i
$345$	4.70364	−	11.3556i	0.253235	−	0.611364i
$346$	−0.977917	+	7.82017i	−0.0525732	+	0.420415i
$347$	−17.1922	−	25.7299i	−0.922925	−	1.38125i	−0.924470	−	0.381256i	$-0.875492\pi$
$347$	−17.1922	−	25.7299i	−0.922925	−	1.38125i	0.00154489	−	0.999999i	$-0.499508\pi$
$348$	−2.63739	−	0.670092i	−0.141379	−	0.0359207i
$349$	−0.252228	+	0.0501713i	−0.0135015	+	0.00268561i	−0.201836	−	0.979419i	$-0.564691\pi$
$349$	−0.252228	+	0.0501713i	−0.0135015	+	0.00268561i	0.188335	+	0.982105i	$0.439691\pi$
$350$	−9.44355	+	28.4250i	−0.504779	+	1.51938i
$351$			22.0760i			1.17833i
$352$	5.46189	+	8.78835i	0.291120	+	0.468421i
$353$			6.17608i			0.328719i	0.986400	+	0.164360i	$0.0525558\pi$
$353$			6.17608i			0.328719i	−0.986400	+	0.164360i	$0.947444\pi$
$354$	−14.1566	−	4.70322i	−0.752417	−	0.249973i
$355$	−17.9185	+	3.56422i	−0.951016	+	0.189169i
$356$	−11.3789	−	19.1306i	−0.603083	−	1.01392i
$357$	2.43036	+	3.63729i	0.128628	+	0.192506i
$358$	−1.39924	−	0.174976i	−0.0739524	−	0.00924779i
$359$	−10.7708	+	26.0029i	−0.568459	+	1.37238i	0.334395	+	0.942433i	$0.391468\pi$
$359$	−10.7708	+	26.0029i	−0.568459	+	1.37238i	−0.902854	+	0.429948i	$0.858532\pi$
$360$	16.3006	+	15.6775i	0.859118	+	0.826275i
$361$	7.27098	+	17.5537i	0.382683	+	0.923878i
$362$	24.0230	−	6.60445i	1.26262	−	0.347122i
$363$	1.17084	−	5.88620i	0.0614530	−	0.308945i
$364$	−35.4524	−	1.86155i	−1.85821	−	0.0975715i
$365$	9.14484	−	13.6862i	0.478663	−	0.716370i
$366$	4.82785	−	5.57777i	0.252356	−	0.291555i
$367$	6.85490	−	6.85490i	0.357823	−	0.357823i	−0.505187	−	0.863010i	$-0.668576\pi$
$367$	6.85490	−	6.85490i	0.357823	−	0.357823i	0.863010	+	0.505187i	$0.168576\pi$
$368$	14.5383	−	11.7681i	0.757862	−	0.613453i
$369$	2.19234	+	2.19234i	0.114129	+	0.114129i
$370$	12.5228	−	0.902504i	0.651028	−	0.0469190i
$371$	10.4652	+	6.99265i	0.543328	+	0.363040i
$372$	6.36556	−	13.3422i	0.330039	−	0.691762i
$373$	−15.4393	−	3.07108i	−0.799419	−	0.159014i	−0.221555	−	0.975148i	$-0.571113\pi$
$373$	−15.4393	−	3.07108i	−0.799419	−	0.159014i	−0.577863	+	0.816133i	$0.696113\pi$
$374$	2.10147	−	3.69508i	0.108665	−	0.191068i
$375$	−3.00694	+	1.24552i	−0.155278	+	0.0643182i
$376$	0.866229	+	1.24326i	0.0446723	+	0.0641164i
$377$	−8.38169	−	3.47181i	−0.431679	−	0.178807i
$378$	−12.4463	−	16.0040i	−0.640168	−	0.823158i
$379$	−25.8812	+	17.2933i	−1.32943	+	0.888295i	−0.998467	−	0.0553495i	$-0.982373\pi$
$379$	−25.8812	+	17.2933i	−1.32943	+	0.888295i	−0.330961	+	0.943645i	$0.607373\pi$
$380$	−0.0256376	−	0.0191485i	−0.00131518	−	0.000982296i
$381$	2.03600	+	10.2356i	0.104307	+	0.524388i
$382$	−7.58627	+	3.80259i	−0.388147	+	0.194557i
$383$	−26.3304			−1.34542			−0.672711	−	0.739905i	$-0.734870\pi$
$383$	−26.3304			−1.34542			−0.672711	+	0.739905i	$0.734870\pi$
$384$	−2.68303	−	8.45546i	−0.136918	−	0.431491i
$385$	−20.8191			−1.06104
$386$	11.3598	−	5.69404i	0.578198	−	0.289819i
$387$	−0.248223	−	1.24790i	−0.0126179	−	0.0634343i
$388$	19.6847	+	14.7024i	0.999341	+	0.746399i
$389$	20.4392	−	13.6570i	1.03631	−	0.692439i	0.0836539	−	0.996495i	$-0.473341\pi$
$389$	20.4392	−	13.6570i	1.03631	−	0.692439i	0.952654	+	0.304056i	$0.0983410\pi$
$390$	−11.9311	−	15.3416i	−0.604154	−	0.776850i
$391$	−7.09912	−	2.94055i	−0.359018	−	0.148710i
$392$	10.5060	−	7.31990i	0.530631	−	0.369711i
$393$	−1.18300	+	0.490015i	−0.0596745	+	0.0247180i
$394$	−8.33379	+	14.6535i	−0.419850	+	0.738234i
$395$	−53.0007	−	10.5425i	−2.66675	−	0.530450i
$396$	−3.75738	+	7.87548i	−0.188816	+	0.395758i
$397$	−22.8836	−	15.2903i	−1.14850	−	0.767400i	−0.172461	−	0.985016i	$-0.555172\pi$
$397$	−22.8836	−	15.2903i	−1.14850	−	0.767400i	−0.976034	+	0.217616i	$0.930172\pi$
$398$	1.19454	−	0.0860892i	0.0598768	−	0.00431526i
$399$	0.00898400	+	0.00898400i	0.000449762	+	0.000449762i
$400$	−24.8157	−	2.61326i	−1.24078	−	0.130663i
$401$	−24.4437	+	24.4437i	−1.22066	+	1.22066i	−0.253263	+	0.967398i	$0.581504\pi$
$401$	−24.4437	+	24.4437i	−1.22066	+	1.22066i	−0.967398	+	0.253263i	$0.918496\pi$
$402$	−5.46676	+	6.31593i	−0.272657	+	0.315010i
$403$	27.3816	−	40.9795i	1.36397	−	2.04133i
$404$	−3.75857	−	0.197356i	−0.186996	−	0.00981883i
$405$	−2.51456	+	12.6415i	−0.124950	+	0.628164i
$406$	8.03371	−	2.20865i	0.398706	−	0.109613i
$407$	1.85377	+	4.47539i	0.0918878	+	0.221837i
$408$	−2.52623	+	2.62665i	−0.125067	+	0.130038i
$409$	−12.0633	+	29.1234i	−0.596492	+	1.44006i	0.280641	+	0.959813i	$0.409453\pi$
$409$	−12.0633	+	29.1234i	−0.596492	+	1.44006i	−0.877134	+	0.480247i	$0.840547\pi$
$410$	−6.11494	−	0.764676i	−0.301995	−	0.0377647i
$411$	−3.28291	−	4.91323i	−0.161934	−	0.242352i
$412$	12.0492	+	20.2576i	0.593623	+	0.998018i
$413$	44.7971	−	8.91069i	2.20432	−	0.438466i
$414$	14.9688	+	4.97304i	0.735677	+	0.244412i
$415$			20.2364i			0.993367i
$416$	−4.81036	−	29.1814i	−0.235847	−	1.43074i
$417$		−	3.22478i		−	0.157918i
$418$	0.00389250	−	0.0117164i	0.000190389	−	0.000573068i
$419$	−11.3813	+	2.26388i	−0.556012	+	0.110598i	−0.465095	−	0.885261i	$-0.653980\pi$
$419$	−11.3813	+	2.26388i	−0.556012	+	0.110598i	−0.0909169	+	0.995858i	$0.528980\pi$
$420$	17.2989	+	4.39521i	0.844101	+	0.214464i
$421$	−3.35311	−	5.01829i	−0.163421	−	0.244576i	0.740717	−	0.671817i	$-0.234486\pi$
$421$	−3.35311	−	5.01829i	−0.163421	−	0.244576i	−0.904138	+	0.427240i	$0.859486\pi$
$422$	−1.52323	+	12.1809i	−0.0741495	+	0.592956i
$423$	−0.489004	+	1.18056i	−0.0237762	+	0.0574007i
$424$	−3.82311	+	9.76365i	−0.185667	+	0.474165i
$425$	3.92291	+	9.47073i	0.190289	+	0.459398i
$426$	1.60194	+	5.82689i	0.0776145	+	0.282314i
$427$	−4.40650	+	22.1530i	−0.213246	+	1.07206i
$428$	−19.9349	−	22.1444i	−0.963587	−	1.07039i
$429$	4.16592	−	6.23474i	0.201132	−	0.301016i
$430$	1.91217	+	1.65508i	0.0922130	+	0.0798151i
$431$	19.6711	−	19.6711i	0.947521	−	0.947521i	−0.0511686	−	0.998690i	$-0.516295\pi$
$431$	19.6711	−	19.6711i	0.947521	−	0.947521i	0.998690	+	0.0511686i	$0.0162946\pi$
$432$	10.8027	−	12.9835i	0.519743	−	0.624668i
$433$	−18.2910	−	18.2910i	−0.879011	−	0.879011i	0.114421	−	0.993432i	$-0.463499\pi$
$433$	−18.2910	−	18.2910i	−0.879011	−	0.879011i	−0.993432	+	0.114421i	$0.963499\pi$
$434$	3.25361	+	45.1457i	0.156178	+	2.16706i
$435$	3.79247	+	2.53405i	0.181835	+	0.121498i
$436$	−9.66355	−	27.2977i	−0.462800	−	1.30732i
$437$	−0.0218885	−	0.00435389i	−0.00104707	−	0.000208275i
$438$	−4.73277	−	2.69163i	−0.226140	−	0.128611i
$439$	10.7707	−	4.46137i	0.514057	−	0.212929i	−0.110547	−	0.993871i	$-0.535260\pi$
$439$	10.7707	−	4.46137i	0.514057	−	0.212929i	0.624604	+	0.780941i	$0.285260\pi$
$440$	−3.71441	−	16.9415i	−0.177078	−	0.807655i
$441$	9.97609	+	4.13223i	0.475052	+	0.196773i
$442$	−9.59100	+	7.45890i	−0.456197	+	0.354784i
$443$	9.77026	−	6.52828i	0.464199	−	0.310168i	−0.301386	−	0.953502i	$-0.597449\pi$
$443$	9.77026	−	6.52828i	0.464199	−	0.310168i	0.765586	+	0.643334i	$0.222449\pi$
$444$	−0.595505	−	4.11003i	−0.0282614	−	0.195053i
$445$	7.27880	+	36.5930i	0.345048	+	1.73467i
$446$	6.40242	+	12.7730i	0.303164	+	0.604820i
$447$	3.98706			0.188581
$448$	19.9396	+	18.4431i	0.942056	+	0.871353i
$449$	26.5341			1.25222			0.626111	−	0.779734i	$-0.284646\pi$
$449$	26.5341			1.25222			0.626111	+	0.779734i	$0.284646\pi$
$450$	−9.42933	−	18.8118i	−0.444503	−	0.886796i
$451$	−0.463860	−	2.33198i	−0.0218423	−	0.109809i
$452$	27.8250	−	4.03158i	1.30878	−	0.189630i
$453$	1.63164	−	1.09023i	0.0766613	−	0.0512234i
$454$	19.7202	−	15.3364i	0.925517	−	0.719773i
$455$	54.9765	+	22.7720i	2.57734	+	1.06757i
$456$	−0.00570784	+	0.00891358i	−0.000267294	+	0.000417417i
$457$	23.9069	−	9.90258i	1.11832	−	0.463223i	0.254525	−	0.967066i	$-0.418081\pi$
$457$	23.9069	−	9.90258i	1.11832	−	0.463223i	0.863795	+	0.503843i	$0.168081\pi$
$458$	8.32330	+	4.73365i	0.388922	+	0.221189i
$459$	−6.80532	−	1.35366i	−0.317645	−	0.0631835i
$460$	−29.5544	+	10.4624i	−1.37798	+	0.487813i
$461$	23.9755	+	16.0199i	1.11665	+	0.746121i	0.970009	−	0.243069i	$-0.0781543\pi$
$461$	23.9755	+	16.0199i	1.11665	+	0.746121i	0.146640	+	0.989190i	$0.453154\pi$
$462$	0.495013	+	6.86860i	0.0230301	+	0.319556i
$463$	−19.4799	−	19.4799i	−0.905307	−	0.905307i	0.0905817	−	0.995889i	$-0.471127\pi$
$463$	−19.4799	−	19.4799i	−0.905307	−	0.905307i	−0.995889	+	0.0905817i	$0.971127\pi$
$464$	3.23061	+	6.14336i	0.149977	+	0.285198i
$465$	−17.5212	+	17.5212i	−0.812527	+	0.812527i
$466$	−31.5170	−	27.2796i	−1.46000	−	1.26370i
$467$	11.7398	−	17.5698i	0.543252	−	0.813035i	−0.453691	−	0.891159i	$-0.649893\pi$
$467$	11.7398	−	17.5698i	0.543252	−	0.813035i	0.996944	+	0.0781243i	$0.0248931\pi$
$468$	18.5363	−	16.6868i	0.856839	−	0.771346i
$469$	4.98965	−	25.0847i	0.230401	−	1.15830i
$470$	−0.673284	−	2.44900i	−0.0310563	−	0.112964i
$471$	−3.85667	−	9.31081i	−0.177706	−	0.429020i
$472$	15.2435	+	34.8637i	0.701637	+	1.60473i
$473$	−0.373399	+	0.901465i	−0.0171689	+	0.0414494i
$474$	−2.21796	+	17.7365i	−0.101874	+	0.814666i
$475$	0.0165409	+	0.0247552i	0.000758950	+	0.00113585i
$476$	2.74773	−	10.8147i	0.125942	−	0.495690i
$477$	−8.67247	+	1.72506i	−0.397085	+	0.0789851i
$478$	3.09681	−	9.32138i	0.141645	−	0.426350i
$479$		−	12.7073i		−	0.580611i	−0.956934	−	0.290305i	$-0.906243\pi$
$479$		−	12.7073i		−	0.580611i	0.956934	−	0.290305i	$-0.0937569\pi$
$480$	−0.490232	+	14.8611i	−0.0223759	+	0.678315i
$481$		−	13.8457i		−	0.631310i
$482$	−30.1980	−	10.0326i	−1.37548	−	0.456972i
$483$	12.2090	−	2.42852i	0.555528	−	0.110501i
$484$	−13.1568	+	7.82570i	−0.598037	+	0.355714i
$485$	−22.8797	−	34.2418i	−1.03891	−	1.55484i
$486$	22.0064	+	2.75192i	0.998233	+	0.124830i
$487$	−5.38031	+	12.9892i	−0.243805	+	0.588597i	−0.997655	−	0.0684497i	$-0.978195\pi$
$487$	−5.38031	+	12.9892i	−0.243805	+	0.588597i	0.753850	+	0.657047i	$0.228195\pi$
$488$	−18.8131	+	0.366612i	−0.851630	+	0.0165957i
$489$	−3.72607	−	8.99553i	−0.168499	−	0.406792i
$490$	−20.6948	+	5.68946i	−0.934895	+	0.257024i
$491$	−2.14334	+	10.7753i	−0.0967275	+	0.486282i	0.901806	+	0.432141i	$0.142242\pi$
$491$	−2.14334	+	10.7753i	−0.0967275	+	0.486282i	−0.998533	+	0.0541404i	$0.982758\pi$
$492$	−0.106886	+	2.03561i	−0.00481881	+	0.0917723i
$493$	1.58420	−	2.37092i	0.0713487	−	0.106781i
$494$	−0.0230943	+	0.0266816i	−0.00103906	+	0.00120046i
$495$	10.3422	−	10.3422i	0.464848	−	0.464848i
$496$	−36.1567	+	10.7022i	−1.62349	+	0.480544i
$497$	−13.0835	−	13.0835i	−0.586876	−	0.586876i
$498$	6.67635	−	0.481159i	0.299175	−	0.0215612i
$499$	7.97175	+	5.32655i	0.356864	+	0.238449i	0.721059	−	0.692874i	$-0.243656\pi$
$499$	7.97175	+	5.32655i	0.356864	+	0.238449i	−0.364195	+	0.931323i	$0.618656\pi$
$500$	7.49278	+	3.57480i	0.335087	+	0.159870i
$501$	9.43849	+	1.87743i	0.421681	+	0.0838775i
$502$	11.2769	−	19.8286i	0.503315	−	0.884992i
$503$	−7.63705	+	3.16337i	−0.340519	+	0.141048i	−0.546389	−	0.837532i	$-0.683998\pi$
$503$	−7.63705	+	3.16337i	−0.340519	+	0.141048i	0.205869	+	0.978579i	$0.433998\pi$
$504$	−4.03001	+	22.5477i	−0.179511	+	1.00436i
$505$	5.82846	+	2.41423i	0.259363	+	0.107432i
$506$	−7.42589	−	9.54855i	−0.330121	−	0.424485i
$507$	−9.34513	+	6.24422i	−0.415032	+	0.277316i
$508$	15.9295	−	21.3277i	0.706757	−	0.946264i
$509$	−2.95926	−	14.8772i	−0.131167	−	0.659420i	−0.989288	−	0.145974i	$-0.953369\pi$
$509$	−2.95926	−	14.8772i	−0.131167	−	0.659420i	0.858122	−	0.513446i	$-0.171631\pi$
$510$	5.46090	−	2.73725i	0.241813	−	0.121208i
$511$	16.6705			0.737459
$512$	−11.4505	+	19.5163i	−0.506047	+	0.862506i
$513$	−0.0201524			−0.000889751
$514$	16.9573	−	8.49975i	0.747952	−	0.374908i
$515$	−7.70756	−	38.7485i	−0.339636	−	1.70746i
$516$	0.500575	−	0.670211i	0.0220366	−	0.0295044i
$517$	0.814791	−	0.544426i	0.0358345	−	0.0239438i
$518$	7.80611	+	10.0375i	0.342981	+	0.441021i
$519$	−4.03692	−	1.67215i	−0.177201	−	0.0733992i
$520$	−8.72213	+	48.7999i	−0.382491	+	2.14002i
$521$	10.0424	−	4.15970i	0.439966	−	0.182240i	−0.151694	−	0.988427i	$-0.548473\pi$
$521$	10.0424	−	4.15970i	0.439966	−	0.182240i	0.591660	+	0.806188i	$0.298473\pi$
$522$	−2.89369	+	5.08805i	−0.126653	+	0.222698i
$523$	−3.45679	−	0.687599i	−0.151155	−	0.0300666i	0.118933	−	0.992902i	$-0.462053\pi$
$523$	−3.45679	−	0.687599i	−0.151155	−	0.0300666i	−0.270088	+	0.962836i	$0.587053\pi$
$524$	2.94783	+	1.40641i	0.128777	+	0.0614391i
$525$	−13.8080	−	9.22622i	−0.602631	−	0.402665i
$526$	−8.42213	+	0.606976i	−0.367222	+	0.0264654i
$527$	10.9537	+	10.9537i	0.477149	+	0.477149i
$528$	−5.50099	+	1.62827i	−0.239400	+	0.0708613i
$529$	0.802117	−	0.802117i	0.0348746	−	0.0348746i
$530$	11.5022	−	13.2889i	0.499625	−	0.577233i
$531$	−17.8271	+	26.6801i	−0.773630	+	1.15782i
$532$	0.00169934	−	0.0323633i	7.36757e−5	−	0.00140313i
$533$	−1.32583	+	6.66538i	−0.0574279	+	0.288710i
$534$	11.8996	−	3.27147i	0.514946	−	0.141570i
$535$	19.1121	+	46.1407i	0.826289	+	1.99484i
$536$	21.3028	−	0.415129i	0.920142	−	0.0179308i
$537$	0.299194	−	0.722317i	0.0129112	−	0.0311703i
$538$	−12.4848	−	1.56124i	−0.538260	−	0.0673097i
$539$	−4.60057	−	6.88524i	−0.198161	−	0.296568i
$540$	−24.3316	+	14.4725i	−1.04706	+	0.622795i
$541$	−4.58170	+	0.911357i	−0.196983	+	0.0391823i	−0.292595	−	0.956236i	$-0.594519\pi$
$541$	−4.58170	+	0.911357i	−0.196983	+	0.0391823i	0.0956128	+	0.995419i	$0.469519\pi$
$542$	6.21917	+	2.06618i	0.267136	+	0.0887498i
$543$			13.8133i			0.592786i
$544$	9.29066	+	0.306476i	0.398334	+	0.0131401i
$545$			48.5381i			2.07915i
$546$	6.20573	−	18.6792i	0.265581	−	0.799395i
$547$	7.46021	−	1.48393i	0.318975	−	0.0634482i	−0.0330060	−	0.999455i	$-0.510508\pi$
$547$	7.46021	−	1.48393i	0.318975	−	0.0634482i	0.351981	+	0.936007i	$0.385508\pi$
$548$	−3.71162	+	14.6084i	−0.158552	+	0.624040i
$549$	−8.81583	−	13.1938i	−0.376251	−	0.563099i
$550$	−2.00238	+	16.0125i	−0.0853816	+	0.682776i
$551$	0.00316930	−	0.00765136i	0.000135017	−	0.000325959i
$552$	4.15445	+	9.50175i	0.176825	+	0.404421i
$553$	−20.9439	−	50.5631i	−0.890626	−	2.15016i
$554$	3.48204	+	12.6655i	0.147938	+	0.538106i
$555$	−1.35803	+	6.82729i	−0.0576453	+	0.289803i
$556$	−6.11334	+	5.50337i	−0.259263	+	0.233395i
$557$	8.06578	−	12.0713i	0.341758	−	0.511477i	−0.620284	−	0.784377i	$-0.712983\pi$
$557$	8.06578	−	12.0713i	0.341758	−	0.511477i	0.962042	+	0.272900i	$0.0879828\pi$
$558$	−24.0431	−	20.8105i	−1.01783	−	0.880980i
$559$	1.97205	−	1.97205i	0.0834089	−	0.0834089i
$560$	−21.1899	−	40.2950i	−0.895438	−	1.70278i
$561$	1.66652	+	1.66652i	0.0703606	+	0.0703606i
$562$	−1.86655	−	25.8994i	−0.0787355	−	1.09250i
$563$	13.7599	+	9.19410i	0.579912	+	0.387485i	0.810650	−	0.585531i	$-0.199114\pi$
$563$	13.7599	+	9.19410i	0.579912	+	0.387485i	−0.230738	+	0.973016i	$0.574114\pi$
$564$	−0.791959	+	0.280358i	−0.0333475	+	0.0118052i
$565$	−46.2210	−	9.19392i	−1.94453	−	0.386791i
$566$	5.71123	+	3.24811i	0.240061	+	0.136528i
$567$	−12.0602	+	4.99548i	−0.506479	+	0.209790i
$568$	8.31241	−	12.9810i	0.348781	−	0.544669i
$569$	10.7745	+	4.46295i	0.451691	+	0.187097i	0.596919	−	0.802302i	$-0.296391\pi$
$569$	10.7745	+	4.46295i	0.451691	+	0.187097i	−0.145228	+	0.989398i	$0.546391\pi$
$570$	0.0140048	−	0.0108915i	0.000586595	−	0.000456194i
$571$	38.3434	−	25.6202i	1.60462	−	1.07217i	0.656471	−	0.754351i	$-0.272049\pi$
$571$	38.3434	−	25.6202i	1.60462	−	1.07217i	0.948150	−	0.317822i	$-0.102951\pi$
$572$	−18.9289	+	2.74262i	−0.791458	+	0.114675i
$573$	−0.917878	−	4.61448i	−0.0383449	−	0.192773i
$574$	−2.79674	−	5.57957i	−0.116734	−	0.232887i
$575$	29.1703			1.21649
$576$	−19.0672	+	0.743407i	−0.794465	+	0.0309753i
$577$	5.30739			0.220949			0.110475	−	0.993879i	$-0.464763\pi$
$577$	5.30739			0.220949			0.110475	+	0.993879i	$0.464763\pi$
$578$	9.06192	+	18.0788i	0.376926	+	0.751979i
$579$	1.37444	+	6.90979i	0.0571199	+	0.287161i
$580$	−1.66829	−	11.5141i	−0.0692719	−	0.478097i
$581$	−17.0408	+	11.3863i	−0.706973	+	0.472384i
$582$	−10.7530	+	8.36257i	−0.445726	+	0.346640i
$583$	6.26487	+	2.59499i	0.259464	+	0.107474i
$584$	2.97424	+	13.5656i	0.123075	+	0.561348i
$585$	−38.6228	+	15.9981i	−1.59686	+	0.661439i
$586$	9.13478	+	5.19516i	0.377354	+	0.214610i
$587$	−1.07653	−	0.214135i	−0.0444331	−	0.00883830i	0.172824	−	0.984953i	$-0.444711\pi$
$587$	−1.07653	−	0.214135i	−0.0444331	−	0.00883830i	−0.217257	+	0.976114i	$0.569711\pi$
$588$	2.36911	+	6.69230i	0.0977005	+	0.275986i
$589$	0.0374087	+	0.0249957i	0.00154140	+	0.00102993i
$590$	−4.58462	−	63.6143i	−0.188746	−	2.61896i
$591$	−6.60890	−	6.60890i	−0.271854	−	0.271854i
$592$	−6.77525	+	8.14303i	−0.278461	+	0.334677i
$593$	−9.71203	+	9.71203i	−0.398825	+	0.398825i	−0.877819	−	0.478993i	$-0.841002\pi$
$593$	−9.71203	+	9.71203i	−0.398825	+	0.398825i	0.478993	+	0.877819i	$0.341002\pi$
$594$	−8.25883	−	7.14844i	−0.338864	−	0.293304i
$595$	−10.3910	+	15.5512i	−0.425987	+	0.637535i
$596$	−6.80426	−	7.55842i	−0.278713	−	0.309605i
$597$	−0.129542	+	0.651251i	−0.00530179	+	0.0266539i
$598$	9.16512	+	33.3371i	0.374790	+	1.36326i
$599$	1.51141	+	3.64886i	0.0617545	+	0.149088i	0.951745	−	0.306891i	$-0.0992889\pi$
$599$	1.51141	+	3.64886i	0.0617545	+	0.149088i	−0.889990	+	0.455980i	$0.849289\pi$
$600$	5.04428	−	12.8823i	0.205932	−	0.525919i
$601$	−4.10853	+	9.91887i	−0.167591	+	0.404599i	−0.985254	−	0.171097i	$-0.945269\pi$
$601$	−4.10853	+	9.91887i	−0.167591	+	0.404599i	0.817664	+	0.575696i	$0.195269\pi$
$602$	−0.317812	+	2.54147i	−0.0129531	+	0.103583i
$603$	9.98251	+	14.9399i	0.406519	+	0.608399i
$604$	−4.85133	−	1.23260i	−0.197398	−	0.0501537i
$605$	25.1663	−	5.00589i	1.02316	−	0.203518i
$606$	0.657914	−	1.98032i	0.0267259	−	0.0804449i
$607$		−	43.0657i		−	1.74798i	−0.485943	−	0.873991i	$-0.661524\pi$
$607$		−	43.0657i		−	1.74798i	0.485943	−	0.873991i	$-0.338476\pi$
$608$	0.0266387	−	0.00439121i	0.00108034	−	0.000178087i
$609$			4.61942i			0.187188i
$610$	29.9314	+	9.94402i	1.21189	+	0.402622i
$611$	−2.74710	+	0.546431i	−0.111136	+	0.0221062i
$612$	4.00738	+	6.73734i	0.161989	+	0.272341i
$613$	25.9537	+	38.8424i	1.04826	+	1.56883i	0.799872	+	0.600170i	$0.204901\pi$
$613$	25.9537	+	38.8424i	1.04826	+	1.56883i	0.248387	+	0.968661i	$0.420099\pi$
$614$	−7.12260	−	0.890685i	−0.287445	−	0.0359451i
$615$	1.30753	−	3.15665i	0.0527245	−	0.127288i
$616$	12.1763	−	12.6603i	0.490596	−	0.510097i
$617$	−10.4503	−	25.2293i	−0.420715	−	1.01570i	−0.982137	−	0.188166i	$-0.939746\pi$
$617$	−10.4503	−	25.2293i	−0.420715	−	1.01570i	0.561422	−	0.827529i	$-0.310254\pi$
$618$	−12.6006	+	3.46418i	−0.506869	+	0.139350i
$619$	7.81639	−	39.2957i	0.314167	−	1.57943i	−0.424546	−	0.905406i	$-0.639566\pi$
$619$	7.81639	−	39.2957i	0.314167	−	1.57943i	0.738713	−	0.674020i	$-0.235434\pi$
$620$	63.1171	+	3.31417i	2.53484	+	0.133100i
$621$	−10.9695	+	16.4170i	−0.440191	+	0.658792i
$622$	−28.6152	+	33.0601i	−1.14736	+	1.32559i
$623$	−26.7190	+	26.7190i	−1.07047	+	1.07047i
$624$	16.3073	+	1.71728i	0.652816	+	0.0687461i
$625$	12.2158	+	12.2158i	0.488631	+	0.488631i
$626$	−13.3818	+	0.964414i	−0.534844	+	0.0385457i
$627$	0.00569148	+	0.00380292i	0.000227296	+	0.000151874i
$628$	−11.0691	+	23.2009i	−0.441706	+	0.925818i
$629$	4.26819	+	0.848995i	0.170184	+	0.0338516i
$630$	18.9800	−	33.3731i	0.756183	−	1.32962i
$631$	−30.5309	+	12.6463i	−1.21542	+	0.503442i	−0.895950	−	0.444155i	$-0.853504\pi$
$631$	−30.5309	+	12.6463i	−1.21542	+	0.503442i	−0.319467	+	0.947597i	$0.603504\pi$
$632$	37.4090	−	26.0642i	1.48805	−	1.03678i
$633$	−6.28800	−	2.60458i	−0.249926	−	0.103523i
$634$	17.6084	+	22.6417i	0.699320	+	0.899219i
$635$	−37.0998	+	24.7893i	−1.47226	+	0.983733i
$636$	−4.65774	−	3.47882i	−0.184691	−	0.137944i
$637$	4.61751	+	23.2138i	0.182953	+	0.919765i
$638$	4.01292	−	2.01146i	0.158873	−	0.0796344i
$639$	12.9989			0.514227
$640$	29.0094	−	24.4324i	1.14670	−	0.965777i
$641$	−30.0254			−1.18593			−0.592966	−	0.805227i	$-0.702043\pi$
$641$	−30.0254			−1.18593			−0.592966	+	0.805227i	$0.702043\pi$
$642$	14.7682	−	7.40251i	0.582855	−	0.292154i
$643$	−1.92684	−	9.68687i	−0.0759871	−	0.382013i	0.924013	−	0.382361i	$-0.124889\pi$
$643$	−1.92684	−	9.68687i	−0.0759871	−	0.382013i	−1.00000		0.000348458i	$0.999889\pi$
$644$	−25.4395	−	19.0005i	−1.00246	−	0.748726i
$645$	−1.16584	+	0.778990i	−0.0459049	+	0.0306727i
$646$	−0.00680897	−	0.00875530i	−0.000267896	−	0.000344473i
$647$	−32.0095	−	13.2588i	−1.25842	−	0.521257i	−0.348999	−	0.937123i	$-0.613478\pi$
$647$	−32.0095	−	13.2588i	−1.25842	−	0.521257i	−0.909426	+	0.415867i	$0.863478\pi$
$648$	−6.21676	−	8.92266i	−0.244217	−	0.350515i
$649$	22.7345	−	9.41693i	0.892406	−	0.369647i
$650$	22.8022	−	40.0937i	0.894375	−	1.57260i
$651$	−24.6130	−	4.89583i	−0.964660	−	0.191883i
$652$	−10.6943	+	22.4153i	−0.418821	+	0.877850i
$653$	30.9545	+	20.6832i	1.21134	+	0.809394i	0.986301	−	0.164954i	$-0.0527477\pi$
$653$	30.9545	+	20.6832i	1.21134	+	0.809394i	0.225043	+	0.974349i	$0.427748\pi$
$654$	16.0136	−	1.15409i	0.626181	−	0.0451283i
$655$	−3.87114	−	3.87114i	−0.151258	−	0.151258i
$656$	4.04139	−	3.27131i	0.157790	−	0.127723i
$657$	−8.28132	+	8.28132i	−0.323085	+	0.323085i
$658$	1.68344	−	1.94493i	0.0656272	−	0.0758213i
$659$	−6.96386	+	10.4222i	−0.271273	+	0.405989i	−0.941946	−	0.335764i	$-0.891006\pi$
$659$	−6.96386	+	10.4222i	−0.271273	+	0.405989i	0.670673	+	0.741753i	$0.266006\pi$
$660$	9.60282	+	0.504228i	0.373789	+	0.0196271i
$661$	4.07042	−	20.4634i	0.158321	−	0.795934i	−0.817256	−	0.576275i	$-0.804506\pi$
$661$	4.07042	−	20.4634i	0.158321	−	0.795934i	0.975577	−	0.219659i	$-0.0704944\pi$
$662$	34.8761	−	9.58822i	1.35550	−	0.372657i
$663$	−2.57790	−	6.22359i	−0.100117	−	0.241704i
$664$	−12.3059	−	11.8355i	−0.477562	−	0.459306i
$665$	−0.0207878	+	0.0501862i	−0.000806116	+	0.00194614i
$666$	−8.86407	−	1.10846i	−0.343476	−	0.0429519i
$667$	−4.50799	−	6.74668i	−0.174550	−	0.261233i
$668$	−12.5485	−	21.0969i	−0.485515	−	0.816264i
$669$	−7.76942	+	1.54543i	−0.300383	+	0.0597499i
$670$	−33.8925	−	11.2600i	−1.30938	−	0.435012i
$671$			12.1689i			0.469776i
$672$	−12.7902	+	7.94902i	−0.493393	+	0.306640i
$673$			3.76884i			0.145278i	0.997358	+	0.0726390i	$0.0231421\pi$
$673$			3.76884i			0.145278i	−0.997358	+	0.0726390i	$0.976858\pi$
$674$	0.825430	−	2.48454i	0.0317944	−	0.0957008i
$675$	25.8346	−	5.13882i	0.994373	−	0.197793i
$676$	27.7857	+	7.05963i	1.06868	+	0.271524i
$677$	−12.4716	−	18.6650i	−0.479321	−	0.717354i	0.510468	−	0.859897i	$-0.329472\pi$
$677$	−12.4716	−	18.6650i	−0.479321	−	0.717354i	−0.989789	+	0.142543i	$0.954472\pi$
$678$	−1.93425	+	15.4677i	−0.0742844	+	0.594034i
$679$	15.9610	−	38.5334i	0.612529	−	1.47878i
$680$	−14.5086	−	5.68108i	−0.556380	−	0.217859i
$681$	5.30046	+	12.7964i	0.203114	+	0.490361i
$682$	6.46433	+	23.5133i	0.247532	+	0.900370i
$683$	−7.81275	+	39.2773i	−0.298946	+	1.50291i	0.480811	+	0.876824i	$0.340342\pi$
$683$	−7.81275	+	39.2773i	−0.298946	+	1.50291i	−0.779758	+	0.626081i	$0.784658\pi$
$684$	0.0152328	+	0.0169211i	0.000582440	+	0.000646995i
$685$	14.0360	−	21.0064i	0.536289	−	0.802613i
$686$	8.97773	+	7.77068i	0.342771	+	0.296686i
$687$	−3.75390	+	3.75390i	−0.143220	+	0.143220i
$688$	−2.12482	+	0.194814i	−0.0810080	+	0.00742721i
$689$	−13.7051	−	13.7051i	−0.522122	−	0.522122i
$690$	−1.24949	−	17.3374i	−0.0475673	−	0.660024i
$691$	28.3968	+	18.9741i	1.08027	+	0.721811i	0.962514	−	0.271232i	$-0.0874312\pi$
$691$	28.3968	+	18.9741i	1.08027	+	0.721811i	0.117752	+	0.993043i	$0.462431\pi$
$692$	3.71940	+	10.5066i	0.141390	+	0.399401i
$693$	14.5283	+	2.88985i	0.551883	+	0.109776i
$694$	−38.0412	−	21.6349i	−1.44402	−	0.821249i
$695$	12.7380	−	5.27624i	0.483179	−	0.200139i
$696$	−3.75904	+	0.824167i	−0.142486	+	0.0312400i
$697$	−1.97343	−	0.817420i	−0.0747488	−	0.0309620i
$698$	−0.287093	+	0.223272i	−0.0108666	+	0.00845095i
$699$	19.2158	−	12.8396i	0.726807	−	0.485637i
$700$	6.07407	+	41.9217i	0.229578	+	1.58449i
$701$	−3.21632	−	16.1695i	−0.121479	−	0.610715i	−0.992778	−	0.119963i	$-0.961722\pi$
$701$	−3.21632	−	16.1695i	−0.121479	−	0.610715i	0.871300	−	0.490752i	$-0.163278\pi$
$702$	13.9899	+	27.9103i	0.528015	+	1.05340i
$703$	0.0126393			0.000476699
$704$	12.4747	+	7.64966i	0.470157	+	0.288307i
$705$	1.40818			0.0530353
$706$	3.91387	+	7.80829i	0.147301	+	0.293869i
$707$	1.24648	+	6.26648i	0.0468787	+	0.235675i
$708$	−20.8785	+	3.02510i	−0.784661	+	0.113690i
$709$	−2.10981	+	1.40973i	−0.0792355	+	0.0529435i	−0.594557	−	0.804053i	$-0.702673\pi$
$709$	−2.10981	+	1.40973i	−0.0792355	+	0.0529435i	0.515321	+	0.856997i	$0.327673\pi$
$710$	−20.3953	+	15.8614i	−0.765423	+	0.595268i
$711$	35.5222	+	14.7138i	1.33219	+	0.551810i
$712$	−26.5096	−	16.9755i	−0.993487	−	0.636183i
$713$	40.7252	−	16.8689i	1.52517	−	0.631746i
$714$	5.37767	+	3.05840i	0.201254	+	0.114458i
$715$	31.4434	+	6.25449i	1.17592	+	0.233905i
$716$	−1.87992	+	0.665504i	−0.0702560	+	0.0248710i
$717$	4.52805	+	3.02554i	0.169103	+	0.112991i
$718$	2.86118	+	39.7005i	0.106778	+	1.48161i
$719$	−13.6165	−	13.6165i	−0.507809	−	0.507809i	0.406044	−	0.913854i	$-0.366908\pi$
$719$	−13.6165	−	13.6165i	−0.507809	−	0.507809i	−0.913854	+	0.406044i	$0.866908\pi$
$720$	30.5436	+	9.49075i	1.13829	+	0.353700i
$721$	28.2929	−	28.2929i	1.05368	−	1.05368i
$722$	20.3166	+	17.5851i	0.756105	+	0.654448i
$723$	9.80170	−	14.6693i	0.364529	−	0.545557i
$724$	26.1864	−	23.5736i	0.973210	−	0.876106i
$725$	−2.11183	+	10.6169i	−0.0784314	+	0.394301i
$726$	−2.24991	−	8.18378i	−0.0835019	−	0.303729i
$727$	−7.57477	−	18.2871i	−0.280933	−	0.678231i	0.718925	−	0.695087i	$-0.244634\pi$
$727$	−7.57477	−	18.2871i	−0.280933	−	0.678231i	−0.999858	+	0.0168560i	$0.994634\pi$
$728$	−46.0014	+	20.1132i	−1.70493	+	0.745445i
$729$	−0.291465	+	0.703658i	−0.0107950	+	0.0260614i
$730$	2.88848	−	23.0985i	0.106907	−	0.854912i
$731$	0.486997	+	0.728843i	0.0180122	+	0.0269572i
$732$	2.56903	−	10.1113i	0.0949542	−	0.373726i
$733$	−34.5625	+	6.87491i	−1.27660	+	0.253931i	−0.786420	−	0.617693i	$-0.788068\pi$
$733$	−34.5625	+	6.87491i	−1.27660	+	0.253931i	−0.490176	+	0.871623i	$0.663068\pi$
$734$	4.32246	−	13.0106i	0.159545	−	0.480229i
$735$		−	11.8996i		−	0.438923i
$736$	10.9229	−	24.0913i	0.402624	−	0.888017i
$737$		−	13.7793i		−	0.507569i
$738$	4.16106	+	1.38242i	0.153171	+	0.0508874i
$739$	−25.3933	+	5.05105i	−0.934109	+	0.185806i	−0.638604	−	0.769535i	$-0.720488\pi$
$739$	−25.3933	+	5.05105i	−0.934109	+	0.185806i	−0.295505	+	0.955341i	$0.595488\pi$
$740$	15.2604	−	9.07689i	0.560982	−	0.333673i
$741$	−0.0108697	−	0.0162676i	−0.000399308	−	0.000597607i
$742$	17.6623	+	2.20869i	0.648405	+	0.0810834i
$743$	−10.2227	+	24.6798i	−0.375034	+	0.905413i	0.617846	+	0.786299i	$0.288005\pi$
$743$	−10.2227	+	24.6798i	−0.375034	+	0.905413i	−0.992881	+	0.119114i	$0.961995\pi$
$744$	−0.407323	−	20.9023i	−0.0149332	−	0.766314i
$745$	6.52344	+	15.7490i	0.239000	+	0.576998i
$746$	−21.4658	+	5.90145i	−0.785920	+	0.216067i
$747$	2.80897	−	14.1216i	0.102775	−	0.516684i
$748$	0.315226	−	6.00335i	0.0115258	−	0.219504i
$749$	−28.1008	+	42.0559i	−1.02678	+	1.53669i
$750$	−3.01232	+	3.48023i	−0.109994	+	0.127080i
$751$	−18.2054	+	18.2054i	−0.664326	+	0.664326i	−0.956397	−	0.292071i	$-0.905656\pi$
$751$	−18.2054	+	18.2054i	−0.664326	+	0.664326i	0.292071	+	0.956397i	$0.405656\pi$
$752$	1.88303	+	1.02289i	0.0686671	+	0.0373010i
$753$	8.94290	+	8.94290i	0.325898	+	0.325898i
$754$	−12.7970	+	0.922265i	−0.466038	+	0.0335869i
$755$	6.97605	+	4.66124i	0.253884	+	0.169640i
$756$	−25.8776	−	12.3462i	−0.941159	−	0.449026i
$757$	−8.14973	−	1.62108i	−0.296207	−	0.0589192i	0.0447498	−	0.998998i	$-0.485751\pi$
$757$	−8.14973	−	1.62108i	−0.296207	−	0.0589192i	−0.340957	+	0.940079i	$0.610751\pi$
$758$	−21.7621	+	38.2648i	−0.790434	+	1.38984i
$759$	6.19604	−	2.56649i	0.224902	−	0.0931575i
$760$	−0.0445477	−	0.00796213i	−0.00161592	−	0.000288817i
$761$	37.0579	+	15.3499i	1.34335	+	0.556433i	0.934433	−	0.356139i	$-0.115907\pi$
$761$	37.0579	+	15.3499i	1.34335	+	0.556433i	0.408916	+	0.912572i	$0.365907\pi$
$762$	9.06055	+	11.6505i	0.328229	+	0.422052i
$763$	−40.8734	+	27.3107i	−1.47972	+	0.988714i
$764$	−7.18142	+	9.61507i	−0.259814	+	0.347861i
$765$	−2.56341	−	12.8871i	−0.0926803	−	0.465936i
$766$	−33.2890	+	16.6860i	−1.20278	+	0.602889i
$767$	−70.3346			−2.53964
$768$	−8.75045	−	8.98980i	−0.315755	−	0.324392i
$769$	44.7180			1.61257			0.806287	−	0.591525i	$-0.201474\pi$
$769$	44.7180			1.61257			0.806287	+	0.591525i	$0.201474\pi$
$770$	−26.3212	+	13.1934i	−0.948550	+	0.475457i
$771$	2.05169	+	10.3146i	0.0738899	+	0.371470i
$772$	10.7535	−	14.3977i	0.387029	−	0.518186i
$773$	−29.7197	+	19.8581i	−1.06894	+	0.714245i	−0.960056	−	0.279809i	$-0.909729\pi$
$773$	−29.7197	+	19.8581i	−1.06894	+	0.714245i	−0.108887	+	0.994054i	$0.534729\pi$
$774$	−1.10464	−	1.42039i	−0.0397053	−	0.0510550i
$775$	−54.3303	−	22.5044i	−1.95160	−	0.808380i
$776$	34.2041	+	6.11339i	1.22786	+	0.219458i
$777$	−6.51330	+	2.69790i	−0.233663	+	0.0967865i
$778$	17.1862	−	30.2189i	0.616155	−	1.08340i
$779$	−0.00608460	−	0.00121030i	−0.000218003	−	4.33636e-5i
$780$	−24.8064	−	11.8351i	−0.888212	−	0.423765i
$781$	−8.28857	−	5.53825i	−0.296588	−	0.198174i
$782$	−10.8387	+	0.781138i	−0.387593	+	0.0279335i
$783$	−5.18101	−	5.18101i	−0.185154	−	0.185154i
$784$	8.64375	−	15.9122i	0.308705	−	0.568293i
$785$	30.4678	−	30.4678i	1.08744	−	1.08744i
$786$	−1.18511	+	1.36920i	−0.0422716	+	0.0488378i
$787$	12.8406	−	19.2173i	0.457717	−	0.685022i	−0.528788	−	0.848754i	$-0.677353\pi$
$787$	12.8406	−	19.2173i	0.457717	−	0.685022i	0.986505	+	0.163732i	$0.0523533\pi$
$788$	−1.25009	+	23.8074i	−0.0445325	+	0.848104i
$789$	0.913339	−	4.59167i	0.0325157	−	0.163468i
$790$	−73.6886	+	20.2587i	−2.62172	+	0.720771i
$791$	−18.2648	−	44.0952i	−0.649423	−	1.56785i
$792$	0.240430	+	12.3379i	0.00854329	+	0.438409i
$793$	13.3104	−	32.1342i	0.472667	−	1.14112i
$794$	−38.6210	−	4.82958i	−1.37061	−	0.171395i
$795$	5.41371	+	8.10219i	0.192004	+	0.287355i
$796$	1.45567	−	0.865838i	0.0515950	−	0.0306888i
$797$	−9.16130	+	1.82230i	−0.324510	+	0.0645491i	−0.354657	−	0.934996i	$-0.615402\pi$
$797$	−9.16130	+	1.82230i	−0.324510	+	0.0645491i	0.0301471	+	0.999545i	$0.490402\pi$
$798$	0.0170516	+	0.00566499i	0.000603620	+	0.000200539i
$799$		−	0.880347i		−	0.0311445i
$800$	−33.0300	+	12.4222i	−1.16779	+	0.439190i
$801$		−	26.5461i		−	0.937961i
$802$	−15.4133	+	46.3940i	−0.544264	+	1.63823i
$803$	8.80879	−	1.75218i	0.310856	−	0.0618330i
$804$	−2.90902	+	11.4495i	−0.102593	+	0.403792i
$805$	29.5684	+	44.2523i	1.04215	+	1.55969i
$806$	8.64871	−	69.1617i	0.304638	−	2.43612i
$807$	2.66957	−	6.44491i	0.0939733	−	0.226872i
$808$	−4.87695	+	2.13235i	−0.171570	+	0.0750157i
$809$	10.1941	+	24.6108i	0.358406	+	0.865268i	0.995525	+	0.0945027i	$0.0301261\pi$
$809$	10.1941	+	24.6108i	0.358406	+	0.865268i	−0.637119	+	0.770766i	$0.719874\pi$
$810$	4.83203	+	17.5760i	0.169780	+	0.617557i
$811$	2.07144	−	10.4138i	0.0727380	−	0.365679i	−0.927223	−	0.374510i	$-0.877811\pi$
$811$	2.07144	−	10.4138i	0.0727380	−	0.365679i	0.999961	+	0.00883095i	$0.00281102\pi$
$812$	8.75720	−	7.88343i	0.307318	−	0.276654i
$813$	−2.01863	+	3.02109i	−0.0707963	+	0.105954i
$814$	5.17980	+	4.48338i	0.181552	+	0.157143i
$815$	29.4361	−	29.4361i	1.03110	−	1.03110i
$816$	−1.52932	+	4.92173i	−0.0535369	+	0.172295i
$817$	0.00180022	+	0.00180022i	6.29816e−5	+	6.29816e-5i
$818$	3.20454	+	44.4648i	0.112044	+	1.55468i
$819$	−35.2035	−	23.5222i	−1.23011	−	0.821933i
$820$	−8.21558	+	2.90836i	−0.286900	+	0.101564i
$821$	53.6020	+	10.6621i	1.87072	+	0.372110i	0.994045	−	0.108969i	$-0.0347549\pi$
$821$	53.6020	+	10.6621i	1.87072	+	0.372110i	0.876677	+	0.481079i	$0.159755\pi$
$822$	−7.26411	−	4.13127i	−0.253365	−	0.144094i
$823$	25.4170	−	10.5281i	0.885982	−	0.366986i	0.107168	−	0.994241i	$-0.465822\pi$
$823$	25.4170	−	10.5281i	0.885982	−	0.366986i	0.778814	+	0.627255i	$0.215822\pi$
$824$	28.0711	+	17.9754i	0.977904	+	0.626204i
$825$	−8.26597	−	3.42388i	−0.287784	−	0.119204i
$826$	50.9892	−	39.6542i	1.77414	−	1.37975i
$827$	22.6824	−	15.1559i	0.788743	−	0.527021i	−0.0947301	−	0.995503i	$-0.530199\pi$
$827$	22.6824	−	15.1559i	0.788743	−	0.527021i	0.883473	+	0.468482i	$0.155199\pi$
$828$	22.0763	−	3.19865i	0.767203	−	0.111161i
$829$	2.14763	+	10.7969i	0.0745902	+	0.374990i	0.999992	−	0.00399713i	$-0.00127233\pi$
$829$	2.14763	+	10.7969i	0.0745902	+	0.374990i	−0.925402	+	0.378988i	$0.876272\pi$
$830$	12.8241	+	25.5845i	0.445132	+	0.888051i
$831$	−7.28273			−0.252635
$832$	−24.5744	−	33.8451i	−0.851963	−	1.17337i
$833$	−7.43921			−0.257753
$834$	−2.04359	−	4.07703i	−0.0707639	−	0.141176i
$835$	8.02692	+	40.3540i	0.277783	+	1.39651i
$836$	−0.00250365	−	0.0172796i	−8.65905e−5	−	0.000597626i
$837$	33.0963	−	22.1142i	1.14398	−	0.764380i
$838$	−12.9545	+	10.0747i	−0.447505	+	0.348023i
$839$	17.6575	+	7.31397i	0.609604	+	0.252506i	0.666059	−	0.745899i	$-0.267980\pi$
$839$	17.6575	+	7.31397i	0.609604	+	0.252506i	−0.0564551	+	0.998405i	$0.517980\pi$
$840$	24.6560	−	5.40581i	0.850713	−	0.186518i
$841$	−24.0106	+	9.94552i	−0.827952	+	0.342949i
$842$	−7.41944	−	4.21960i	−0.255691	−	0.145417i
$843$	14.1201	+	2.80866i	0.486322	+	0.0967356i
$844$	5.79342	+	16.3653i	0.199418	+	0.563318i
$845$	−39.9549	−	26.6970i	−1.37449	−	0.918405i
$846$	0.129901	+	1.80245i	0.00446608	+	0.0619694i
$847$	18.3756	+	18.3756i	0.631393	+	0.631393i
$848$	1.35389	+	14.7668i	0.0464927	+	0.507092i
$849$	−2.57583	+	2.57583i	−0.0884023	+	0.0884023i
$850$	10.9614	+	9.48766i	0.375973	+	0.325424i
$851$	6.87989	−	10.2965i	0.235840	−	0.352959i
$852$	5.71790	+	6.35165i	0.195892	+	0.217604i
$853$	−8.92566	+	44.8723i	−0.305609	+	1.53640i	0.456957	+	0.889489i	$0.348939\pi$
$853$	−8.92566	+	44.8723i	−0.305609	+	1.53640i	−0.762566	+	0.646911i	$0.776061\pi$
$854$	8.46763	+	30.8000i	0.289756	+	1.05396i
$855$	−0.0146041	−	0.0352574i	−0.000499450	−	0.00120578i
$856$	−39.2365	−	15.3637i	−1.34107	−	0.525119i
$857$	4.18475	−	10.1029i	0.142948	−	0.345108i	−0.836148	−	0.548503i	$-0.815198\pi$
$857$	4.18475	−	10.1029i	0.142948	−	0.345108i	0.979097	+	0.203396i	$0.0651978\pi$
$858$	1.31584	−	10.5225i	0.0449220	−	0.359231i
$859$	3.25686	+	4.87424i	0.111123	+	0.166307i	0.882862	−	0.469632i	$-0.155613\pi$
$859$	3.25686	+	4.87424i	0.111123	+	0.166307i	−0.771740	+	0.635938i	$0.780613\pi$
$860$	3.46637	+	0.880715i	0.118202	+	0.0300321i
$861$	3.39387	−	0.675083i	0.115663	−	0.0230068i
$862$	12.4039	−	37.3356i	0.422478	−	1.27165i
$863$		−	1.43064i		−	0.0486996i	−0.999704	−	0.0243498i	$-0.992248\pi$
$863$		−	1.43064i		−	0.0486996i	0.999704	−	0.0243498i	$-0.00775154\pi$
$864$	5.42975	−	23.2606i	0.184724	−	0.791341i
$865$		−	18.6818i		−	0.635201i
$866$	−34.7163	−	11.5337i	−1.17971	−	0.391931i
$867$	−10.9968	+	2.18739i	−0.373469	+	0.0742877i
$868$	32.7230	+	55.0149i	1.11069	+	1.86733i
$869$	−16.3814	−	24.5165i	−0.555701	−	0.831666i
$870$	6.40061	+	0.800401i	0.217001	+	0.0271361i
$871$	−15.0719	+	36.3868i	−0.510692	+	1.23292i
$872$	−29.5164	−	28.3880i	−0.999552	−	0.961340i
$873$	11.2132	+	27.0709i	0.379508	+	0.916213i
$874$	−0.0304323	+	0.00836652i	−0.00102939	+	0.000283002i
$875$	2.74942	−	13.8223i	0.0929474	−	0.467278i
$876$	−7.68927	−	0.403751i	−0.259796	−	0.0136415i
$877$	20.5649	−	30.7776i	0.694428	−	1.03929i	−0.301872	−	0.953348i	$-0.597612\pi$
$877$	20.5649	−	30.7776i	0.694428	−	1.03929i	0.996301	−	0.0859368i	$-0.0273883\pi$
$878$	10.7899	−	12.4660i	0.364143	−	0.420706i
$879$	−4.11989	+	4.11989i	−0.138960	+	0.138960i
$880$	−15.4322	−	19.0649i	−0.520218	−	0.642679i
$881$	10.5814	+	10.5814i	0.356496	+	0.356496i	0.862520	−	0.506023i	$-0.168885\pi$
$881$	10.5814	+	10.5814i	0.356496	+	0.356496i	−0.506023	+	0.862520i	$0.668885\pi$
$882$	15.2312	−	1.09770i	0.512862	−	0.0369615i
$883$	−46.6957	−	31.2011i	−1.57144	−	1.05000i	−0.967469	−	0.252991i	$-0.918586\pi$
$883$	−46.6957	−	31.2011i	−1.57144	−	1.05000i	−0.603968	−	0.797009i	$-0.706414\pi$
$884$	−7.39890	+	15.5081i	−0.248852	+	0.521594i
$885$	34.6819	+	6.89866i	1.16582	+	0.231896i
$886$	8.21528	−	14.4451i	0.275998	−	0.485294i
$887$	47.8447	−	19.8179i	1.60647	−	0.665421i	0.614156	−	0.789185i	$-0.289497\pi$
$887$	47.8447	−	19.8179i	1.60647	−	0.665421i	0.992312	+	0.123764i	$0.0394966\pi$
$888$	−3.35747	−	4.81884i	−0.112669	−	0.161710i
$889$	−41.7495	−	17.2932i	−1.40023	−	0.579996i
$890$	32.3920	+	41.6511i	1.08578	+	1.39615i
$891$	−5.84760	+	3.90724i	−0.195902	+	0.130898i
$892$	16.1889	+	12.0914i	0.542045	+	0.404849i
$893$	−0.000498818	−	0.00250773i	−1.66923e−5	−	8.39179e-5i
$894$	5.04076	−	2.52666i	0.168588	−	0.0845042i
$895$	3.34270			0.111734
$896$	36.8969	+	10.6812i	1.23264	+	0.356834i
$897$	−19.1690			−0.640034
$898$	33.5465	−	16.8151i	1.11946	−	0.561126i
$899$	3.19128	+	16.0437i	0.106435	+	0.535086i
$900$	−23.8426	−	17.8079i	−0.794754	−	0.593595i
$901$	5.06520	−	3.38446i	0.168746	−	0.112753i
$902$	−2.06426	−	2.65432i	−0.0687324	−	0.0883793i
$903$	−1.31196	−	0.543430i	−0.0436592	−	0.0180842i
$904$	32.6237	−	22.7302i	1.08505	−	0.755994i
$905$	−54.5629	+	22.6007i	−1.81373	+	0.751272i
$906$	1.37196	−	2.41235i	0.0455803	−	0.0801450i
$907$	39.2228	+	7.80190i	1.30237	+	0.259058i	0.797071	−	0.603886i	$-0.206382\pi$
$907$	39.2228	+	7.80190i	1.30237	+	0.259058i	0.505300	+	0.862943i	$0.331382\pi$
$908$	15.2130	−	31.8865i	0.504862	−	1.05819i
$909$	−3.73218	−	2.49376i	−0.123789	−	0.0827129i
$910$	83.9367	−	6.04924i	2.78248	−	0.200530i
$911$	28.9692	+	28.9692i	0.959794	+	0.959794i	0.999222	−	0.0394285i	$-0.0125537\pi$
$911$	28.9692	+	28.9692i	0.959794	+	0.959794i	−0.0394285	+	0.999222i	$0.512554\pi$
$912$	−0.00156764	+	0.0148864i	−5.19098e−5	+	0.000492938i
$913$	−7.80771	+	7.80771i	−0.258397	+	0.258397i
$914$	23.9497	−	27.6698i	0.792184	−	0.915237i
$915$	−9.71517	+	14.5398i	−0.321174	+	0.480670i
$916$	13.5228	+	0.710058i	0.446805	+	0.0234610i
$917$	1.08168	−	5.43799i	0.0357204	−	0.179578i
$918$	−9.46167	+	2.60123i	−0.312282	+	0.0858533i
$919$	4.60437	+	11.1159i	0.151884	+	0.366681i	0.981447	−	0.191732i	$-0.0614105\pi$
$919$	4.60437	+	11.1159i	0.151884	+	0.366681i	−0.829563	+	0.558413i	$0.811411\pi$
$920$	−30.7348	+	31.9565i	−1.01330	+	1.05357i
$921$	1.52299	−	3.67682i	0.0501842	−	0.121155i
$922$	40.4638	+	5.06002i	1.33260	+	0.166643i
$923$	15.8297	+	23.6908i	0.521040	+	0.779792i
$924$	4.97857	+	8.37013i	0.163783	+	0.275357i
$925$	−16.2030	+	3.22298i	−0.532752	+	0.105971i
$926$	−36.9727	−	12.2833i	−1.21500	−	0.403656i
$927$			28.1099i			0.923249i
$928$	7.97753	+	5.71965i	0.261875	+	0.187757i
$929$		−	27.6140i		−	0.905987i	−0.891514	−	0.452994i	$-0.850356\pi$
$929$		−	27.6140i		−	0.905987i	0.891514	−	0.452994i	$-0.149644\pi$
$930$	−11.0483	+	33.2552i	−0.362287	+	1.09048i
$931$	−0.0211911	+	0.00421517i	−0.000694510	+	0.000138147i
$932$	−57.1338	−	14.5162i	−1.87148	−	0.475495i
$933$	−13.4682	−	20.1566i	−0.440929	−	0.659897i
$934$	3.70811	−	29.6529i	0.121333	−	0.970271i
$935$	−3.85611	+	9.30948i	−0.126108	+	0.304453i
$936$	12.8604	−	32.8435i	0.420355	−	1.07352i
$937$	8.53902	+	20.6150i	0.278958	+	0.673464i	0.999807	−	0.0196280i	$-0.00624818\pi$
$937$	8.53902	+	20.6150i	0.278958	+	0.673464i	−0.720850	+	0.693091i	$0.756248\pi$
$938$	−9.58823	−	34.8761i	−0.313067	−	1.13874i
$939$	1.45119	−	7.29563i	0.0473578	−	0.238084i
$940$	−2.40319	−	2.66955i	−0.0783833	−	0.0870710i
$941$	−21.1132	+	31.5981i	−0.688270	+	1.03007i	0.308614	+	0.951187i	$0.400135\pi$
$941$	−21.1132	+	31.5981i	−0.688270	+	1.03007i	−0.996884	+	0.0788810i	$0.974865\pi$
$942$	−10.7763	−	9.32745i	−0.351111	−	0.303905i
$943$	−4.29797	+	4.29797i	−0.139961	+	0.139961i
$944$	41.3657	+	34.4175i	1.34634	+	1.12019i
$945$	33.9829	+	33.9829i	1.10546	+	1.10546i
$946$	0.0991911	+	1.37633i	0.00322498	+	0.0447484i
$947$	−23.9627	−	16.0114i	−0.778683	−	0.520299i	0.101556	−	0.994830i	$-0.467618\pi$
$947$	−23.9627	−	16.0114i	−0.778683	−	0.520299i	−0.880239	+	0.474531i	$0.842618\pi$
$948$	8.43578	+	23.8295i	0.273981	+	0.773946i
$949$	−25.1777	−	5.00816i	−0.817303	−	0.162572i
$950$	0.0366001	+	0.0208153i	0.00118747	+	0.000675339i
$951$	−14.6922	+	6.08571i	−0.476427	+	0.197343i
$952$	−3.37952	−	15.4141i	−0.109531	−	0.499573i
$953$	−46.7611	−	19.3691i	−1.51474	−	0.627426i	−0.538211	−	0.842810i	$-0.680899\pi$
$953$	−46.7611	−	19.3691i	−1.51474	−	0.627426i	−0.976529	+	0.215385i	$0.930899\pi$
$954$	−9.87124	+	7.67684i	−0.319593	+	0.248547i
$955$	16.7255	−	11.1756i	0.541226	−	0.361635i
$956$	−1.99186	−	13.7473i	−0.0644214	−	0.444621i
$957$	0.485531	+	2.44093i	0.0156950	+	0.0789040i
$958$	−8.05280	−	16.0656i	−0.260174	−	0.519055i
$959$	25.5868			0.826241
$960$	8.79794	+	19.0993i	0.283952	+	0.616428i
$961$	−57.8654			−1.86663
$962$	−8.77424	−	17.5049i	−0.282893	−	0.564379i
$963$	−6.93238	−	34.8514i	−0.223393	−	1.12307i
$964$	−44.5366	+	6.45294i	−1.43443	+	0.207835i
$965$	−25.0450	+	16.7346i	−0.806228	+	0.538704i
$966$	13.8966	−	10.8073i	0.447115	−	0.347720i
$967$	−49.7556	−	20.6095i	−1.60003	−	0.662755i	−0.608612	−	0.793468i	$-0.708274\pi$
$967$	−49.7556	−	20.6095i	−1.60003	−	0.662755i	−0.991420	+	0.130712i	$0.958274\pi$
$968$	−11.6746	+	18.2316i	−0.375237	+	0.585985i
$969$	0.00568130	−	0.00235327i	0.000182510	−	7.55980e-5i
$970$	−50.6259	−	28.7921i	−1.62550	−	0.924458i
$971$	20.0337	+	3.98496i	0.642913	+	0.127883i	0.505771	−	0.862668i	$-0.331208\pi$
$971$	20.0337	+	3.98496i	0.642913	+	0.127883i	0.137142	+	0.990551i	$0.456208\pi$
$972$	29.5663	−	10.4666i	0.948338	−	0.335717i
$973$	11.6103	+	7.75773i	0.372208	+	0.248701i
$974$	1.42924	+	19.8316i	0.0457959	+	0.635445i
$975$	18.0827	+	18.0827i	0.579110	+	0.579110i
$976$	−23.5527	+	12.3857i	−0.753905	+	0.396455i
$977$	8.15858	−	8.15858i	0.261016	−	0.261016i	−0.564451	−	0.825467i	$-0.690912\pi$
$977$	8.15858	−	8.15858i	0.261016	−	0.261016i	0.825467	+	0.564451i	$0.190912\pi$
$978$	−10.4114	−	9.01160i	−0.332920	−	0.288159i
$979$	−11.3101	+	16.9268i	−0.361473	+	0.540983i
$980$	−22.5585	+	20.3077i	−0.720605	+	0.648705i
$981$	6.73746	−	33.8715i	0.215111	−	1.08143i
$982$	4.11868	+	14.9812i	0.131432	+	0.478071i
$983$	3.28561	+	7.93217i	0.104795	+	0.252997i	0.967576	−	0.252581i	$-0.0812794\pi$
$983$	3.28561	+	7.93217i	0.104795	+	0.252997i	−0.862781	+	0.505578i	$0.831279\pi$
$984$	1.15486	+	2.64131i	0.0368156	+	0.0842020i
$985$	15.2921	−	36.9185i	0.487248	−	1.17632i
$986$	0.500383	−	4.00144i	0.0159354	−	0.127432i
$987$	0.792336	+	1.18581i	0.0252203	+	0.0377449i
$988$	−0.0122891	+	0.0483682i	−0.000390969	+	0.00153880i
$989$	2.44644	−	0.486627i	0.0777923	−	0.0154738i
$990$	6.52144	−	19.6295i	0.207265	−	0.623866i
$991$			21.7977i			0.692427i	0.938156	+	0.346213i	$0.112533\pi$
$991$			21.7977i			0.692427i	−0.938156	+	0.346213i	$0.887467\pi$
$992$	−38.9301	+	36.4437i	−1.23603	+	1.15709i
$993$			20.0539i			0.636391i
$994$	−24.8324	−	8.25001i	−0.787637	−	0.261674i
$995$	−2.78441	+	0.553853i	−0.0882716	+	0.0175583i
$996$	8.13587	−	4.83923i	0.257795	−	0.153337i
$997$	8.81651	+	13.1948i	0.279222	+	0.417885i	0.944400	−	0.328800i	$-0.106644\pi$
$997$	8.81651	+	13.1948i	0.279222	+	0.417885i	−0.665178	+	0.746685i	$0.731644\pi$
$998$	13.4540	+	1.68244i	0.425880	+	0.0532566i
$999$	4.27925	−	10.3310i	0.135390	−	0.326859i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	64.2.i.a.21.7	✓	56
3.2	odd	2		576.2.bd.a.469.1		56
4.3	odd	2		256.2.i.a.177.3		56
8.3	odd	2		512.2.i.a.97.5		56
8.5	even	2		512.2.i.b.97.3		56
64.3	odd	16		256.2.i.a.81.3		56
64.29	even	16		512.2.i.b.417.3		56
64.35	odd	16		512.2.i.a.417.5		56
64.61	even	16	inner	64.2.i.a.61.7	yes	56
192.125	odd	16		576.2.bd.a.253.1		56

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
64.2.i.a.21.7	✓	56	1.1	even	1	trivial
64.2.i.a.61.7	yes	56	64.61	even	16	inner
256.2.i.a.81.3		56	64.3	odd	16
256.2.i.a.177.3		56	4.3	odd	2
512.2.i.a.97.5		56	8.3	odd	2
512.2.i.a.417.5		56	64.35	odd	16
512.2.i.b.97.3		56	8.5	even	2
512.2.i.b.417.3		56	64.29	even	16
576.2.bd.a.253.1		56	192.125	odd	16
576.2.bd.a.469.1		56	3.2	odd	2

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 64 = 2^{6} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	64.i (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.26428 - 0.633715i) q^{2} +(0.152968 + 0.769021i) q^{3} +(1.19681 - 1.60239i) q^{4} +(-2.78737 + 1.86246i) q^{5} +(0.680735 + 0.875320i) q^{6} +(-3.13672 - 1.29927i) q^{7} +(0.497646 - 2.78430i) q^{8} +(2.20364 - 0.912779i) q^{9} +(-2.34375 + 4.12108i) q^{10} +(-1.79402 - 0.356853i) q^{11} +(1.41534 + 0.675258i) q^{12} +(4.34710 + 2.90464i) q^{13} +(-4.78906 + 0.345143i) q^{14} +(-1.85865 - 1.85865i) q^{15} +(-1.13529 - 3.83551i) q^{16} +(-1.16196 + 1.16196i) q^{17} +(2.20758 - 2.55049i) q^{18} +(-0.00265155 + 0.00396832i) q^{19} +(-0.351568 + 6.69547i) q^{20} +(0.519350 - 2.61095i) q^{21} +(-2.49429 + 0.685737i) q^{22} +(1.78945 + 4.32013i) q^{23} +(2.21731 - 0.0432088i) q^{24} +(2.38726 - 5.76336i) q^{25} +(7.33667 + 0.917455i) q^{26} +(2.34588 + 3.51086i) q^{27} +(-5.83599 + 3.47126i) q^{28} +(-1.70191 + 0.338531i) q^{29} +(-3.52771 - 1.17200i) q^{30} -9.42685i q^{31} +(-3.86595 - 4.12970i) q^{32} -1.43423i q^{33} +(-0.732694 + 2.20540i) q^{34} +(11.1630 - 2.22047i) q^{35} +(1.17472 - 4.62352i) q^{36} +(-1.47130 - 2.20195i) q^{37} +(-0.000837513 + 0.00669740i) q^{38} +(-1.56876 + 3.78733i) q^{39} +(3.79854 + 8.68774i) q^{40} +(0.497436 + 1.20092i) q^{41} +(-0.997994 - 3.63009i) q^{42} +(0.104068 - 0.523183i) q^{43} +(-2.71892 + 2.44763i) q^{44} +(-4.44236 + 6.64846i) q^{45} +(5.00010 + 4.32785i) q^{46} +(-0.378819 + 0.378819i) q^{47} +(2.77592 - 1.45977i) q^{48} +(3.20113 + 3.20113i) q^{49} +(-0.634161 - 8.79935i) q^{50} +(-1.07132 - 0.715832i) q^{51} +(9.85702 - 3.48944i) q^{52} +(-3.63594 - 0.723233i) q^{53} +(5.19073 + 2.95209i) q^{54} +(5.66523 - 2.34662i) q^{55} +(-5.17854 + 8.08699i) q^{56} +(-0.00345732 - 0.00143207i) q^{57} +(-1.93716 + 1.50653i) q^{58} +(-11.1857 + 7.47403i) q^{59} +(-5.20273 + 0.753828i) q^{60} +(-1.29788 - 6.52488i) q^{61} +(-5.97394 - 11.9182i) q^{62} -8.09815 q^{63} +(-7.50470 - 2.77119i) q^{64} -17.5268 q^{65} +(-0.908892 - 1.81327i) q^{66} +(1.46964 + 7.38837i) q^{67} +(0.471267 + 3.25257i) q^{68} +(-3.04854 + 2.03697i) q^{69} +(12.7061 - 9.88148i) q^{70} +(5.03495 + 2.08554i) q^{71} +(-1.44482 - 6.58986i) q^{72} +(-4.53632 + 1.87901i) q^{73} +(-3.25554 - 1.85150i) q^{74} +(4.79732 + 0.954247i) q^{75} +(0.00318539 + 0.00899813i) q^{76} +(5.16369 + 3.45027i) q^{77} +(0.416732 + 5.78240i) q^{78} +(11.3984 + 11.3984i) q^{79} +(10.3080 + 8.57655i) q^{80} +(2.71871 - 2.71871i) q^{81} +(1.38994 + 1.20306i) q^{82} +(3.35370 - 5.01916i) q^{83} +(-3.56219 - 3.95701i) q^{84} +(1.07471 - 5.40294i) q^{85} +(-0.199978 - 0.727399i) q^{86} +(-0.520675 - 1.25702i) q^{87} +(-1.88637 + 4.81752i) q^{88} +(4.25907 - 10.2823i) q^{89} +(-1.40316 + 11.2207i) q^{90} +(-9.86171 - 14.7591i) q^{91} +(9.06415 + 2.30297i) q^{92} +(7.24944 - 1.44200i) q^{93} +(-0.238870 + 0.718996i) q^{94} -0.0159996i q^{95} +(2.58446 - 3.60471i) q^{96} +12.2846i q^{97} +(6.07574 + 2.01852i) q^{98} +(-4.27911 + 0.851169i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 56 q - 8 q^{2} - 8 q^{3} - 8 q^{4} - 8 q^{5} - 8 q^{6} - 8 q^{7} - 8 q^{8} - 8 q^{9} - 8 q^{10} - 8 q^{11} - 8 q^{12} - 8 q^{13} - 8 q^{14} - 8 q^{15} - 8 q^{16} - 8 q^{17} - 8 q^{18} - 8 q^{19} - 8 q^{20}+ \cdots + 16 q^{99}+O(q^{100}) \) 56 * q - 8 * q^2 - 8 * q^3 - 8 * q^4 - 8 * q^5 - 8 * q^6 - 8 * q^7 - 8 * q^8 - 8 * q^9 - 8 * q^10 - 8 * q^11 - 8 * q^12 - 8 * q^13 - 8 * q^14 - 8 * q^15 - 8 * q^16 - 8 * q^17 - 8 * q^18 - 8 * q^19 - 8 * q^20 - 8 * q^21 - 8 * q^23 + 32 * q^24 - 8 * q^25 + 32 * q^26 - 8 * q^27 + 32 * q^28 - 8 * q^29 + 72 * q^30 + 32 * q^32 + 32 * q^34 - 8 * q^35 + 72 * q^36 - 8 * q^37 + 32 * q^38 - 8 * q^39 + 32 * q^40 - 8 * q^41 + 32 * q^42 - 8 * q^43 - 8 * q^45 - 8 * q^46 - 8 * q^47 - 8 * q^48 - 8 * q^49 - 32 * q^50 + 24 * q^51 - 56 * q^52 - 8 * q^53 - 72 * q^54 + 56 * q^55 - 64 * q^56 - 8 * q^57 - 80 * q^58 + 56 * q^59 - 104 * q^60 - 8 * q^61 - 40 * q^62 + 64 * q^63 - 104 * q^64 - 16 * q^65 - 88 * q^66 + 72 * q^67 - 56 * q^68 - 8 * q^69 - 104 * q^70 + 56 * q^71 - 80 * q^72 - 8 * q^73 - 64 * q^74 + 56 * q^75 - 72 * q^76 - 8 * q^77 - 32 * q^78 + 24 * q^79 + 32 * q^80 - 8 * q^81 + 72 * q^82 - 8 * q^83 + 104 * q^84 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 72 * q^88 - 8 * q^89 + 136 * q^90 - 8 * q^91 + 144 * q^92 + 16 * q^93 + 88 * q^94 + 128 * q^96 + 128 * q^98 + 16 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

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