LMFDB - Embedded newform 462.2.bf.a.5.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(5,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 25, 12]))

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

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

chi := DirichletCharacter("462.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.bf (of order $30$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			5.19
Character	$\chi$	$=$	462.5
Dual form			462.2.bf.a.185.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.207912 - 0.978148i) q^{2} +(-1.48443 + 0.892451i) q^{3} +(-0.913545 - 0.406737i) q^{4} +(-2.46318 - 2.73564i) q^{5} +(0.564318 + 1.63754i) q^{6} +(2.33823 - 1.23802i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.40706 - 2.64956i) q^{9} +O(q^{10})$	\(q+(0.207912 - 0.978148i) q^{2} +(-1.48443 + 0.892451i) q^{3} +(-0.913545 - 0.406737i) q^{4} +(-2.46318 - 2.73564i) q^{5} +(0.564318 + 1.63754i) q^{6} +(2.33823 - 1.23802i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.40706 - 2.64956i) q^{9} +(-3.18798 + 1.84058i) q^{10} +(0.587723 + 3.26414i) q^{11} +(1.71909 - 0.211522i) q^{12} +(-4.24304 + 1.37865i) q^{13} +(-0.724816 - 2.54453i) q^{14} +(6.09784 + 1.86260i) q^{15} +(0.669131 + 0.743145i) q^{16} +(-5.49056 + 1.16705i) q^{17} +(-2.29912 - 1.92719i) q^{18} +(0.959028 + 2.15401i) q^{19} +(1.13754 + 3.50099i) q^{20} +(-2.36607 + 3.92450i) q^{21} +(3.31500 + 0.103772i) q^{22} +(-7.07989 - 4.08758i) q^{23} +(0.150518 - 1.72550i) q^{24} +(-0.893819 + 8.50412i) q^{25} +(0.466343 + 4.43696i) q^{26} +(0.275915 + 5.18882i) q^{27} +(-2.63963 + 0.179939i) q^{28} +(1.15621 + 1.59138i) q^{29} +(3.08971 - 5.57733i) q^{30} +(1.73371 + 1.56104i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-3.78551 - 4.32087i) q^{33} +5.61322i q^{34} +(-9.14624 - 3.34710i) q^{35} +(-2.36309 + 1.84819i) q^{36} +(0.725533 + 6.90299i) q^{37} +(2.30633 - 0.490227i) q^{38} +(5.06812 - 5.83321i) q^{39} +(3.66100 - 0.384786i) q^{40} +(-6.25012 - 4.54098i) q^{41} +(3.34681 + 3.13032i) q^{42} -4.72775 q^{43} +(0.790732 - 3.22098i) q^{44} +(-10.7141 + 2.67713i) q^{45} +(-5.47024 + 6.07532i) q^{46} +(-0.294049 + 0.130919i) q^{47} +(-1.65650 - 0.505980i) q^{48} +(3.93464 - 5.78953i) q^{49} +(8.13245 + 2.64239i) q^{50} +(7.10881 - 6.63246i) q^{51} +(4.43696 + 0.466343i) q^{52} +(4.38235 + 3.94588i) q^{53} +(5.13280 + 0.808932i) q^{54} +(7.48183 - 9.64795i) q^{55} +(-0.372802 + 2.61935i) q^{56} +(-3.34596 - 2.34159i) q^{57} +(1.79699 - 0.800073i) q^{58} +(-5.40495 - 2.40644i) q^{59} +(-4.81307 - 4.18178i) q^{60} +(2.22618 - 2.00446i) q^{61} +(1.88739 - 1.37127i) q^{62} +(0.00984261 - 7.93725i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(14.2229 + 8.21157i) q^{65} +(-5.01350 + 2.80443i) q^{66} +(-5.92281 - 10.2586i) q^{67} +(5.49056 + 1.16705i) q^{68} +(14.1576 - 0.250732i) q^{69} +(-5.17556 + 8.25047i) q^{70} +(5.81664 + 1.88994i) q^{71} +(1.31649 + 2.69571i) q^{72} +(2.42435 - 5.44517i) q^{73} +(6.90299 + 0.725533i) q^{74} +(-6.26270 - 13.4215i) q^{75} -2.35786i q^{76} +(5.41528 + 6.90469i) q^{77} +(-4.65202 - 6.17017i) q^{78} +(-4.63124 - 0.984401i) q^{79} +(0.384786 - 3.66100i) q^{80} +(-5.04034 - 7.45620i) q^{81} +(-5.74122 + 5.16942i) q^{82} +(1.88570 - 5.80360i) q^{83} +(3.75775 - 2.62284i) q^{84} +(16.7169 + 12.1455i) q^{85} +(-0.982954 + 4.62443i) q^{86} +(-3.13654 - 1.33044i) q^{87} +(-2.98620 - 1.44313i) q^{88} +(-0.217259 + 0.376303i) q^{89} +(0.391040 + 11.0366i) q^{90} +(-8.21442 + 8.47655i) q^{91} +(4.80523 + 6.61384i) q^{92} +(-3.96672 - 0.770003i) q^{93} +(0.0669219 + 0.314843i) q^{94} +(3.53034 - 7.92927i) q^{95} +(-0.839329 + 1.51510i) q^{96} +(-12.1030 + 3.93249i) q^{97} +(-4.84496 - 5.05237i) q^{98} +(9.47549 + 3.03564i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q - 32 q^{4} + 4 q^{7} - 12 q^{9}+O(q^{10}) $ 256 * q - 32 * q^4 + 4 * q^7 - 12 * q^9	$ 256 q - 32 q^{4} + 4 q^{7} - 12 q^{9} + 12 q^{10} + 24 q^{15} + 32 q^{16} - 8 q^{18} - 16 q^{21} - 12 q^{22} + 48 q^{25} + 6 q^{28} + 18 q^{31} - 132 q^{33} + 16 q^{36} + 4 q^{37} - 18 q^{40} - 4 q^{42} + 64 q^{43} - 48 q^{45} + 8 q^{46} + 76 q^{49} - 8 q^{51} - 88 q^{57} + 46 q^{58} - 8 q^{60} - 12 q^{63} + 64 q^{64} - 120 q^{66} - 32 q^{67} - 58 q^{70} - 12 q^{72} - 96 q^{73} - 204 q^{75} - 32 q^{78} - 4 q^{79} - 64 q^{81} + 24 q^{82} - 36 q^{84} + 232 q^{85} - 228 q^{87} - 6 q^{88} + 40 q^{91} - 2 q^{93} - 144 q^{94} + 160 q^{99}+O(q^{100}) $ 256 * q - 32 * q^4 + 4 * q^7 - 12 * q^9 + 12 * q^10 + 24 * q^15 + 32 * q^16 - 8 * q^18 - 16 * q^21 - 12 * q^22 + 48 * q^25 + 6 * q^28 + 18 * q^31 - 132 * q^33 + 16 * q^36 + 4 * q^37 - 18 * q^40 - 4 * q^42 + 64 * q^43 - 48 * q^45 + 8 * q^46 + 76 * q^49 - 8 * q^51 - 88 * q^57 + 46 * q^58 - 8 * q^60 - 12 * q^63 + 64 * q^64 - 120 * q^66 - 32 * q^67 - 58 * q^70 - 12 * q^72 - 96 * q^73 - 204 * q^75 - 32 * q^78 - 4 * q^79 - 64 * q^81 + 24 * q^82 - 36 * q^84 + 232 * q^85 - 228 * q^87 - 6 * q^88 + 40 * q^91 - 2 * q^93 - 144 * q^94 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{5}\right)$

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 $

$2$	0.207912	−	0.978148i	0.147016	−	0.691655i
$2$	0.207912	−	0.978148i	0.147016	−	0.691655i
$3$	−1.48443	+	0.892451i	−0.857036	+	0.515257i
$3$	−1.48443	+	0.892451i	−0.857036	+	0.515257i
$4$	−0.913545	−	0.406737i	−0.456773	−	0.203368i
$5$	−2.46318	−	2.73564i	−1.10157	−	1.22341i	−0.972777	−	0.231743i	$-0.925557\pi$
$5$	−2.46318	−	2.73564i	−1.10157	−	1.22341i	−0.128790	−	0.991672i	$-0.541109\pi$
$6$	0.564318	+	1.63754i	0.230382	+	0.668524i
$7$	2.33823	−	1.23802i	0.883768	−	0.467926i
$7$	2.33823	−	1.23802i	0.883768	−	0.467926i
$8$	−0.587785	+	0.809017i	−0.207813	+	0.286031i
$9$	1.40706	−	2.64956i	0.469021	−	0.883187i
$10$	−3.18798	+	1.84058i	−1.00813	+	0.582043i
$11$	0.587723	+	3.26414i	0.177205	+	0.984174i
$11$	0.587723	+	3.26414i	0.177205	+	0.984174i
$12$	1.71909	−	0.211522i	0.496258	−	0.0610612i
$13$	−4.24304	+	1.37865i	−1.17681	+	0.382368i	−0.831180	−	0.556003i	$-0.812334\pi$
$13$	−4.24304	+	1.37865i	−1.17681	+	0.382368i	−0.345628	+	0.938371i	$0.612334\pi$
$14$	−0.724816	−	2.54453i	−0.193715	−	0.680055i
$15$	6.09784	+	1.86260i	1.57446	+	0.480920i
$16$	0.669131	+	0.743145i	0.167283	+	0.185786i
$17$	−5.49056	+	1.16705i	−1.33166	+	0.283052i	−0.818135	−	0.575026i	$-0.804992\pi$
$17$	−5.49056	+	1.16705i	−1.33166	+	0.283052i	−0.513520	+	0.858078i	$0.671659\pi$
$18$	−2.29912	−	1.92719i	−0.541907	−	0.454243i
$19$	0.959028	+	2.15401i	0.220016	+	0.494164i	0.989505	−	0.144495i	$-0.0461559\pi$
$19$	0.959028	+	2.15401i	0.220016	+	0.494164i	−0.769489	+	0.638660i	$0.779489\pi$
$20$	1.13754	+	3.50099i	0.254362	+	0.782846i
$21$	−2.36607	+	3.92450i	−0.516319	+	0.856396i
$22$	3.31500	+	0.103772i	0.706761	+	0.0221243i
$23$	−7.07989	−	4.08758i	−1.47626	−	0.852318i	−0.476618	−	0.879111i	$-0.658137\pi$
$23$	−7.07989	−	4.08758i	−1.47626	−	0.852318i	−0.999641	+	0.0267921i	$0.991471\pi$
$24$	0.150518	−	1.72550i	0.0307244	−	0.352216i
$25$	−0.893819	+	8.50412i	−0.178764	+	1.70082i
$26$	0.466343	+	4.43696i	0.0914574	+	0.870159i
$27$	0.275915	+	5.18882i	0.0530998	+	0.998589i
$28$	−2.63963	+	0.179939i	−0.498842	+	0.0340053i
$29$	1.15621	+	1.59138i	0.214702	+	0.295512i	0.902761	−	0.430143i	$-0.141537\pi$
$29$	1.15621	+	1.59138i	0.214702	+	0.295512i	−0.688059	+	0.725655i	$0.741537\pi$
$30$	3.08971	−	5.57733i	0.564101	−	1.01828i
$31$	1.73371	+	1.56104i	0.311384	+	0.280371i	0.809973	−	0.586467i	$-0.199482\pi$
$31$	1.73371	+	1.56104i	0.311384	+	0.280371i	−0.498589	+	0.866838i	$0.666148\pi$
$32$	0.866025	−	0.500000i	0.153093	−	0.0883883i
$33$	−3.78551	−	4.32087i	−0.658973	−	0.752166i
$34$			5.61322i			0.962659i
$35$	−9.14624	−	3.34710i	−1.54600	−	0.565763i
$36$	−2.36309	+	1.84819i	−0.393848	+	0.308032i
$37$	0.725533	+	6.90299i	0.119277	+	1.13484i	0.876404	+	0.481576i	$0.159936\pi$
$37$	0.725533	+	6.90299i	0.119277	+	1.13484i	−0.757127	+	0.653267i	$0.773398\pi$
$38$	2.30633	−	0.490227i	0.374137	−	0.0795253i
$39$	5.06812	−	5.83321i	0.811549	−	0.934062i
$40$	3.66100	−	0.384786i	0.578855	−	0.0608401i
$41$	−6.25012	−	4.54098i	−0.976105	−	0.709182i	−0.0192704	−	0.999814i	$-0.506134\pi$
$41$	−6.25012	−	4.54098i	−0.976105	−	0.709182i	−0.956835	+	0.290632i	$0.906134\pi$
$42$	3.34681	+	3.13032i	0.516424	+	0.483018i
$43$	−4.72775			−0.720974			−0.360487	−	0.932764i	$-0.617390\pi$
$43$	−4.72775			−0.720974			−0.360487	+	0.932764i	$0.617390\pi$
$44$	0.790732	−	3.22098i	0.119207	−	0.485582i
$45$	−10.7141	+	2.67713i	−1.59716	+	0.399082i
$46$	−5.47024	+	6.07532i	−0.806544	+	0.895757i
$47$	−0.294049	+	0.130919i	−0.0428914	+	0.0190965i	−0.428070	−	0.903745i	$-0.640806\pi$
$47$	−0.294049	+	0.130919i	−0.0428914	+	0.0190965i	0.385179	+	0.922842i	$0.374140\pi$
$48$	−1.65650	−	0.505980i	−0.239095	−	0.0730320i
$49$	3.93464	−	5.78953i	0.562091	−	0.827075i
$50$	8.13245	+	2.64239i	1.15010	+	0.373691i
$51$	7.10881	−	6.63246i	0.995432	−	0.928730i
$52$	4.43696	+	0.466343i	0.615296	+	0.0646702i
$53$	4.38235	+	3.94588i	0.601962	+	0.542009i	0.912775	−	0.408462i	$-0.133935\pi$
$53$	4.38235	+	3.94588i	0.601962	+	0.542009i	−0.310814	+	0.950471i	$0.600602\pi$
$54$	5.13280	+	0.808932i	0.698486	+	0.110082i
$55$	7.48183	−	9.64795i	1.00885	−	1.30093i
$56$	−0.372802	+	2.61935i	−0.0498177	+	0.350026i
$57$	−3.34596	−	2.34159i	−0.443183	−	0.310152i
$58$	1.79699	−	0.800073i	0.235957	−	0.105055i
$59$	−5.40495	−	2.40644i	−0.703665	−	0.313292i	0.0235299	−	0.999723i	$-0.492510\pi$
$59$	−5.40495	−	2.40644i	−0.703665	−	0.313292i	−0.727195	+	0.686431i	$0.759176\pi$
$60$	−4.81307	−	4.18178i	−0.621364	−	0.539866i
$61$	2.22618	−	2.00446i	0.285034	−	0.256645i	−0.514194	−	0.857674i	$-0.671909\pi$
$61$	2.22618	−	2.00446i	0.285034	−	0.256645i	0.799228	+	0.601029i	$0.205242\pi$
$62$	1.88739	−	1.37127i	0.239698	−	0.174151i
$63$	0.00984261	−	7.93725i	0.00124005	−	0.999999i
$64$	−0.309017	−	0.951057i	−0.0386271	−	0.118882i
$65$	14.2229	+	8.21157i	1.76413	+	1.01852i
$66$	−5.01350	+	2.80443i	−0.617119	+	0.345202i
$67$	−5.92281	−	10.2586i	−0.723587	−	1.25329i	−0.959553	−	0.281528i	$-0.909159\pi$
$67$	−5.92281	−	10.2586i	−0.723587	−	1.25329i	0.235966	−	0.971761i	$-0.424175\pi$
$68$	5.49056	+	1.16705i	0.665828	+	0.141526i
$69$	14.1576	−	0.250732i	1.70437	−	0.0301846i
$70$	−5.17556	+	8.25047i	−0.618598	+	0.986120i
$71$	5.81664	+	1.88994i	0.690308	+	0.224295i	0.633103	−	0.774068i	$-0.281781\pi$
$71$	5.81664	+	1.88994i	0.690308	+	0.224295i	0.0572055	+	0.998362i	$0.481781\pi$
$72$	1.31649	+	2.69571i	0.155150	+	0.317693i
$73$	2.42435	−	5.44517i	0.283748	−	0.637309i	−0.714294	−	0.699845i	$-0.753252\pi$
$73$	2.42435	−	5.44517i	0.283748	−	0.637309i	0.998043	+	0.0625361i	$0.0199188\pi$
$74$	6.90299	+	0.725533i	0.802456	+	0.0843415i
$75$	−6.26270	−	13.4215i	−0.723154	−	1.54978i
$76$		−	2.35786i		−	0.270465i
$77$	5.41528	+	6.90469i	0.617129	+	0.786862i
$78$	−4.65202	−	6.17017i	−0.526738	−	0.698634i
$79$	−4.63124	−	0.984401i	−0.521056	−	0.110754i	−0.0601266	−	0.998191i	$-0.519150\pi$
$79$	−4.63124	−	0.984401i	−0.521056	−	0.110754i	−0.460929	+	0.887437i	$0.652484\pi$
$80$	0.384786	−	3.66100i	0.0430204	−	0.409312i
$81$	−5.04034	−	7.45620i	−0.560038	−	0.828467i
$82$	−5.74122	+	5.16942i	−0.634012	+	0.570867i
$83$	1.88570	−	5.80360i	0.206983	−	0.637028i	−0.792643	−	0.609686i	$-0.791296\pi$
$83$	1.88570	−	5.80360i	0.206983	−	0.637028i	0.999626	−	0.0273421i	$-0.00870435\pi$
$84$	3.75775	−	2.62284i	0.410004	−	0.286176i
$85$	16.7169	+	12.1455i	1.81320	+	1.31737i
$86$	−0.982954	+	4.62443i	−0.105995	+	0.498665i
$87$	−3.13654	−	1.33044i	−0.336272	−	0.142638i
$88$	−2.98620	−	1.44313i	−0.318330	−	0.153838i
$89$	−0.217259	+	0.376303i	−0.0230294	+	0.0398880i	−0.877310	−	0.479923i	$-0.840664\pi$
$89$	−0.217259	+	0.376303i	−0.0230294	+	0.0398880i	0.854281	+	0.519811i	$0.173998\pi$
$90$	0.391040	+	11.0366i	0.0412192	+	1.16336i
$91$	−8.21442	+	8.47655i	−0.861106	+	0.888584i
$92$	4.80523	+	6.61384i	0.500980	+	0.689540i
$93$	−3.96672	−	0.770003i	−0.411330	−	0.0798456i
$94$	0.0669219	+	0.314843i	0.00690246	+	0.0324735i
$95$	3.53034	−	7.92927i	0.362205	−	0.813526i
$96$	−0.839329	+	1.51510i	−0.0856636	+	0.154634i
$97$	−12.1030	+	3.93249i	−1.22887	+	0.399284i	−0.850305	−	0.526290i	$-0.823583\pi$
$97$	−12.1030	+	3.93249i	−1.22887	+	0.399284i	−0.378566	+	0.925574i	$0.623583\pi$
$98$	−4.84496	−	5.05237i	−0.489414	−	0.510366i
$99$	9.47549	+	3.03564i	0.952322	+	0.305093i
$100$	4.27548	−	7.40535i	0.427548	−	0.740535i
$101$	−6.79431	+	7.54584i	−0.676059	+	0.750839i	−0.979375	−	0.202051i	$-0.935239\pi$
$101$	−6.79431	+	7.54584i	−0.676059	+	0.750839i	0.303316	+	0.952890i	$0.401906\pi$
$102$	−5.00952	−	8.33243i	−0.496016	−	0.825033i
$103$	−0.403522	+	0.0424119i	−0.0397602	+	0.00417896i	−0.124388	−	0.992234i	$-0.539697\pi$
$103$	−0.403522	+	0.0424119i	−0.0397602	+	0.00417896i	0.0846275	+	0.996413i	$0.473030\pi$
$104$	1.37865	−	4.24304i	0.135188	−	0.416065i
$105$	16.5641	−	3.19404i	1.61649	−	0.311706i
$106$	4.77080	−	3.46619i	0.463381	−	0.336666i
$107$	2.00829	+	4.51070i	0.194149	+	0.436066i	0.984220	−	0.176950i	$-0.0566230\pi$
$107$	2.00829	+	4.51070i	0.194149	+	0.436066i	−0.790071	+	0.613015i	$0.789956\pi$
$108$	1.85842	−	4.85245i	0.178827	−	0.466927i
$109$	−6.22931	−	10.7895i	−0.596660	−	1.03344i	−0.993310	−	0.115475i	$-0.963161\pi$
$109$	−6.22931	−	10.7895i	−0.596660	−	1.03344i	0.396651	−	0.917970i	$-0.370172\pi$
$110$	−7.88156	−	9.32425i	−0.751477	−	0.889032i
$111$	−7.23758	−	9.59950i	−0.686960	−	0.911144i
$112$	2.48461	+	0.909250i	0.234773	+	0.0859160i
$113$	8.73868	−	12.0278i	0.822066	−	1.13148i	−0.167282	−	0.985909i	$-0.553499\pi$
$113$	8.73868	−	12.0278i	0.822066	−	1.13148i	0.989348	−	0.145568i	$-0.0465009\pi$
$114$	−2.98609	+	2.78600i	−0.279673	+	0.260933i
$115$	6.25691	+	29.4364i	0.583460	+	2.74496i
$116$	−0.408974	−	1.92407i	−0.0379723	−	0.178645i
$117$	−2.31742	+	13.1820i	−0.214246	+	1.21868i
$118$	−3.47761	+	4.78651i	−0.320140	+	0.440634i
$119$	−11.3934	+	9.52623i	−1.04443	+	0.873268i
$120$	−5.09109	+	3.83845i	−0.464751	+	0.350401i
$121$	−10.3092	+	3.83682i	−0.937197	+	0.348801i
$122$	−1.49781	−	2.59429i	−0.135606	−	0.234876i
$123$	13.3305	+	1.16284i	1.20197	+	0.104850i
$124$	−0.948891	−	2.13124i	−0.0852129	−	0.191391i
$125$	10.5752	−	7.68334i	0.945876	−	0.687219i
$126$	−7.76175	−	1.65987i	−0.691472	−	0.147873i
$127$	1.54603	−	4.75820i	0.137188	−	0.422222i	−0.858736	−	0.512419i	$-0.828750\pi$
$127$	1.54603	−	4.75820i	0.137188	−	0.422222i	0.995924	+	0.0901968i	$0.0287496\pi$
$128$	−0.994522	+	0.104528i	−0.0879041	+	0.00923910i
$129$	7.01801	−	4.21928i	0.617901	−	0.371487i
$130$	10.9892	−	12.2048i	0.963819	−	1.07043i
$131$	−2.33974	+	4.05255i	−0.204424	+	0.354073i	−0.949949	−	0.312405i	$-0.898865\pi$
$131$	−2.33974	+	4.05255i	−0.204424	+	0.354073i	0.745525	+	0.666478i	$0.232199\pi$
$132$	1.70078	+	5.48702i	0.148034	+	0.477583i
$133$	4.90913	+	3.84928i	0.425675	+	0.333775i
$134$	−11.2659	+	3.66050i	−0.973222	+	0.316219i
$135$	13.5151	−	13.5358i	1.16320	−	1.16498i
$136$	2.28310	−	5.12793i	0.195774	−	0.439716i
$137$	−1.38102	−	6.49721i	−0.117989	−	0.555094i	−0.996939	−	0.0781807i	$-0.975089\pi$
$137$	−1.38102	−	6.49721i	−0.117989	−	0.555094i	0.878950	−	0.476913i	$-0.158244\pi$
$138$	2.69827	−	13.9003i	0.229692	−	1.18327i
$139$	−7.76895	−	10.6930i	−0.658954	−	0.906972i	0.340492	−	0.940247i	$-0.389406\pi$
$139$	−7.76895	−	10.6930i	−0.658954	−	0.906972i	−0.999446	+	0.0332751i	$0.989406\pi$
$140$	6.99412	+	6.77784i	0.591111	+	0.572832i
$141$	0.319656	−	0.456764i	0.0269199	−	0.0384665i
$142$	3.05799	−	5.29659i	0.256621	−	0.444480i
$143$	−6.99383	−	13.0396i	−0.584853	−	1.09043i
$144$	2.91052	−	0.727250i	0.242543	−	0.0606042i
$145$	1.50550	−	7.08282i	0.125025	−	0.588196i
$146$	−4.82213	−	3.50349i	−0.399083	−	0.289951i
$147$	−0.673826	+	12.1056i	−0.0555762	+	0.998454i
$148$	2.14489	−	6.60129i	0.176309	−	0.542623i
$149$	−13.9415	+	12.5529i	−1.14213	+	1.02838i	−0.142875	+	0.989741i	$0.545635\pi$
$149$	−13.9415	+	12.5529i	−1.14213	+	1.02838i	−0.999253	+	0.0386365i	$0.987699\pi$
$150$	−14.4303	+	3.33536i	−1.17823	+	0.272331i
$151$	1.35271	−	12.8701i	0.110082	−	1.04736i	−0.790438	−	0.612542i	$-0.790147\pi$
$151$	1.35271	−	12.8701i	0.110082	−	1.04736i	0.900520	−	0.434815i	$-0.143186\pi$
$152$	−2.30633	−	0.490227i	−0.187068	−	0.0397626i
$153$	−4.63338	+	16.1897i	−0.374587	+	1.30886i
$154$	7.87971	−	3.86138i	0.634965	−	0.311159i
$155$		−	8.58792i		−	0.689799i
$156$	−7.00254	+	3.26751i	−0.560652	+	0.261610i
$157$	−5.53722	−	0.581985i	−0.441918	−	0.0464474i	−0.119043	−	0.992889i	$-0.537983\pi$
$157$	−5.53722	−	0.581985i	−0.441918	−	0.0464474i	−0.322875	+	0.946442i	$0.604649\pi$
$158$	−1.92578	+	4.32537i	−0.153207	+	0.344108i
$159$	−10.0268	−	1.94636i	−0.795176	−	0.154356i
$160$	−3.50099	−	1.13754i	−0.276778	−	0.0899306i
$161$	−21.6149	−	0.792683i	−1.70349	−	0.0624721i
$162$	−8.34121	+	3.37997i	−0.655348	+	0.265555i
$163$	−18.8959	−	4.01645i	−1.48004	−	0.314593i	−0.604062	−	0.796937i	$-0.706452\pi$
$163$	−18.8959	−	4.01645i	−1.48004	−	0.314593i	−0.875982	+	0.482345i	$0.839785\pi$
$164$	3.86279	+	6.69055i	0.301633	+	0.522444i
$165$	−2.49593	+	20.9989i	−0.194308	+	1.63476i
$166$	−5.28472	−	3.05113i	−0.410174	−	0.236814i
$167$	−0.296343	−	0.912051i	−0.0229317	−	0.0705767i	0.938936	−	0.344093i	$-0.111813\pi$
$167$	−0.296343	−	0.912051i	−0.0229317	−	0.0705767i	−0.961867	+	0.273516i	$0.911813\pi$
$168$	−1.78425	−	4.22096i	−0.137658	−	0.325654i
$169$	5.58553	−	4.05812i	0.429656	−	0.312163i
$170$	15.3557	−	13.8264i	1.17773	−	1.06043i
$171$	7.05660	+	0.489830i	0.539632	+	0.0374582i
$172$	4.31901	+	1.92295i	0.329321	+	0.146623i
$173$	−3.62337	+	1.61323i	−0.275479	+	0.122651i	−0.539827	−	0.841776i	$-0.681510\pi$
$173$	−3.62337	+	1.61323i	−0.275479	+	0.122651i	0.264347	+	0.964428i	$0.414844\pi$
$174$	−1.95349	+	2.79138i	−0.148093	+	0.211614i
$175$	8.43828	+	20.9912i	0.637874	+	1.58678i
$176$	−2.03246	+	2.62090i	−0.153203	+	0.197558i
$177$	10.1709	−	1.25146i	0.764492	−	0.0940656i
$178$	0.322909	+	0.290749i	0.0242031	+	0.0217925i
$179$	−3.78162	−	0.397464i	−0.282651	−	0.0297079i	−0.0378580	−	0.999283i	$-0.512053\pi$
$179$	−3.78162	−	0.397464i	−0.282651	−	0.0297079i	−0.244793	+	0.969575i	$0.578720\pi$
$180$	10.8767	+	1.91214i	0.810701	+	0.142522i
$181$	20.5877	+	6.68935i	1.53027	+	0.497216i	0.948673	−	0.316259i	$-0.102427\pi$
$181$	20.5877	+	6.68935i	1.53027	+	0.497216i	0.581600	+	0.813475i	$0.302427\pi$
$182$	6.58344	+	9.79729i	0.487997	+	0.726224i
$183$	−1.51573	+	4.96225i	−0.112046	+	0.366820i
$184$	7.46837	−	3.32513i	0.550576	−	0.245132i
$185$	17.0970	−	18.9881i	1.25699	−	1.39603i
$186$	−1.57790	+	3.71995i	−0.115698	+	0.272760i
$187$	−7.03635	−	17.2360i	−0.514549	−	1.26042i
$188$	0.321876			0.0234752
$189$	7.06899	+	11.7911i	0.514193	+	0.857674i
$190$	−7.02200	−	5.10178i	−0.509429	−	0.370122i
$191$	25.2003	−	2.64866i	1.82343	−	0.191650i	0.869955	−	0.493130i	$-0.164147\pi$
$191$	25.2003	−	2.64866i	1.82343	−	0.191650i	0.953472	+	0.301481i	$0.0974808\pi$
$192$	1.30749	+	1.13599i	0.0943596	+	0.0819833i
$193$	−24.5058	+	5.20887i	−1.76397	+	0.374943i	−0.971882	−	0.235468i	$-0.924338\pi$
$193$	−24.5058	+	5.20887i	−1.76397	+	0.374943i	−0.792085	+	0.610411i	$0.791004\pi$
$194$	1.33021	+	12.6561i	0.0955035	+	0.908655i
$195$	−28.4413	+	0.503698i	−2.03672	+	0.0360705i
$196$	−5.94928	+	3.68864i	−0.424949	+	0.263474i
$197$			8.20277i			0.584423i	0.956354	+	0.292212i	$0.0943911\pi$
$197$			8.20277i			0.584423i	−0.956354	+	0.292212i	$0.905609\pi$
$198$	4.93937	−	8.63728i	0.351026	−	0.613825i
$199$	9.54974	−	5.51355i	0.676963	−	0.390845i	−0.121747	−	0.992561i	$-0.538850\pi$
$199$	9.54974	−	5.51355i	0.676963	−	0.390845i	0.798710	+	0.601716i	$0.205516\pi$
$200$	−6.35461	−	5.72171i	−0.449339	−	0.404586i
$201$	17.9473	+	9.94237i	1.26591	+	0.701281i
$202$	5.96833	+	8.21470i	0.419930	+	0.577984i
$203$	4.67363	+	2.28961i	0.328024	+	0.160699i
$204$	−9.19188	+	3.16764i	−0.643560	+	0.221779i
$205$	2.97270	+	28.2833i	0.207622	+	1.97539i
$206$	−0.0424119	+	0.403522i	−0.00295497	+	0.0281147i
$207$	−20.7921	+	13.0071i	−1.44515	+	0.904057i
$208$	−3.86369	−	2.23070i	−0.267898	−	0.154671i
$209$	−6.46734	+	4.39636i	−0.447356	+	0.304103i
$210$	0.319624	−	16.8662i	0.0220561	−	1.16388i
$211$	4.91558	+	15.1286i	0.338403	+	1.04150i	0.965022	+	0.262171i	$0.0844383\pi$
$211$	4.91558	+	15.1286i	0.338403	+	1.04150i	−0.626619	+	0.779326i	$0.715562\pi$
$212$	−2.39854	−	5.38720i	−0.164732	−	0.369995i
$213$	−10.3211	+	2.38558i	−0.707188	+	0.163457i
$214$	4.82968	−	1.02658i	0.330150	−	0.0701755i
$215$	11.6453	+	12.9334i	0.794202	+	0.882050i
$216$	−4.36002	−	2.82669i	−0.296662	−	0.192332i
$217$	5.98640	+	1.50371i	0.406384	+	0.102079i
$218$	−11.8489	+	3.84993i	−0.802506	+	0.260750i
$219$	1.26077	+	10.2466i	0.0851953	+	0.692400i
$220$	−10.7592	+	5.77071i	−0.725383	+	0.389061i
$221$	21.6877	−	12.5214i	1.45887	−	0.842281i
$222$	−10.8945	+	5.08357i	−0.731191	+	0.341187i
$223$	8.57934	−	11.8084i	0.574515	−	0.790752i	−0.418566	−	0.908187i	$-0.637467\pi$
$223$	8.57934	−	11.8084i	0.574515	−	0.790752i	0.993081	+	0.117435i	$0.0374670\pi$
$224$	1.40596	−	2.24127i	0.0939396	−	0.149751i
$225$	21.2745	+	14.3341i	1.41830	+	0.955605i
$226$	−9.94806	−	11.0484i	−0.661735	−	0.734931i
$227$	14.1449	+	6.29773i	0.938832	+	0.417995i	0.818350	−	0.574721i	$-0.194889\pi$
$227$	14.1449	+	6.29773i	0.938832	+	0.417995i	0.120482	+	0.992716i	$0.461556\pi$
$228$	2.10427	+	3.50008i	0.139359	+	0.231798i
$229$	−2.40571	+	11.3180i	−0.158974	+	0.747914i	0.824354	+	0.566074i	$0.191538\pi$
$229$	−2.40571	+	11.3180i	−0.158974	+	0.747914i	−0.983328	+	0.181840i	$0.941795\pi$
$230$	30.0941			1.98434
$231$	−14.2007	−	5.41666i	−0.934337	−	0.356390i
$232$	−1.96706			−0.129143
$233$	−3.20924	+	15.0983i	−0.210244	+	0.989120i	0.738787	+	0.673939i	$0.235399\pi$
$233$	−3.20924	+	15.0983i	−0.210244	+	0.989120i	−0.949031	+	0.315182i	$0.897935\pi$
$234$	12.4122	+	5.00748i	0.811409	+	0.327349i
$235$	1.08244	+	0.481934i	0.0706107	+	0.0314379i
$236$	3.95888	+	4.39678i	0.257701	+	0.286206i
$237$	7.75329	−	2.67188i	0.503630	−	0.173557i
$238$	6.94925	+	13.1250i	0.450453	+	0.850767i
$239$	2.58665	−	3.56022i	0.167316	−	0.230291i	−0.717123	−	0.696947i	$-0.754541\pi$
$239$	2.58665	−	3.56022i	0.167316	−	0.230291i	0.884439	+	0.466656i	$0.154541\pi$
$240$	2.69607	+	5.77790i	0.174031	+	0.372962i
$241$	−2.76116	+	1.59416i	−0.177862	+	0.102689i	−0.586288	−	0.810103i	$-0.699411\pi$
$241$	−2.76116	+	1.59416i	−0.177862	+	0.102689i	0.408426	+	0.912792i	$0.366078\pi$
$242$	1.60958	+	10.8816i	0.103468	+	0.699496i
$243$	14.1363	+	6.56995i	0.906846	+	0.421463i
$244$	−2.84901	+	0.925699i	−0.182389	+	0.0592618i
$245$	−25.5298	+	3.49690i	−1.63104	+	0.223409i
$246$	3.90899	−	12.7974i	0.249228	−	0.815932i
$247$	−7.03882	−	7.81740i	−0.447870	−	0.497410i
$248$	−2.28196	+	0.485045i	−0.144904	+	0.0308004i
$249$	2.38023	+	10.2979i	0.150841	+	0.652605i
$250$	−5.31673	−	11.9416i	−0.336260	−	0.755252i
$251$	−6.49259	−	19.9821i	−0.409809	−	1.26126i	−0.916813	−	0.399317i	$-0.869247\pi$
$251$	−6.49259	−	19.9821i	−0.409809	−	1.26126i	0.507004	−	0.861944i	$-0.330753\pi$
$252$	−3.23736	+	7.24703i	−0.203935	+	0.456520i
$253$	9.18139	−	25.5121i	0.577229	−	1.60393i
$254$	−4.33278	−	2.50153i	−0.271863	−	0.156960i
$255$	−35.6543	−	3.11018i	−2.23276	−	0.194767i
$256$	−0.104528	+	0.994522i	−0.00653303	+	0.0621576i
$257$	1.14621	+	10.9055i	0.0714986	+	0.680264i	0.970299	+	0.241907i	$0.0777728\pi$
$257$	1.14621	+	10.9055i	0.0714986	+	0.680264i	−0.898801	+	0.438357i	$0.855560\pi$
$258$	−2.66795	−	7.74188i	−0.166099	−	0.481989i
$259$	10.2425	+	15.2425i	0.636436	+	0.947126i
$260$	−9.65328	−	13.2866i	−0.598671	−	0.824000i
$261$	5.84332	−	0.824263i	0.361692	−	0.0510206i
$262$	3.47753	+	3.13118i	0.214843	+	0.193445i
$263$	−9.99503	+	5.77064i	−0.616320	+	0.355833i	−0.775435	−	0.631427i	$-0.782469\pi$
$263$	−9.99503	+	5.77064i	−0.616320	+	0.355833i	0.159115	+	0.987260i	$0.449136\pi$
$264$	5.72072	−	0.522803i	0.352086	−	0.0321763i
$265$		−	21.7079i		−	1.33351i
$266$	4.78583	−	4.00154i	0.293438	−	0.245350i
$267$	−0.0133266	−	0.752488i	−0.000815577	−	0.0460515i
$268$	1.23821	+	11.7807i	0.0756354	+	0.719623i
$269$	12.3284	−	2.62048i	0.751676	−	0.159774i	0.183887	−	0.982947i	$-0.441132\pi$
$269$	12.3284	−	2.62048i	0.751676	−	0.159774i	0.567790	+	0.823174i	$0.307799\pi$
$270$	−10.4301	−	16.0340i	−0.634753	−	0.975800i
$271$	28.5336	−	2.99900i	1.73329	−	0.182176i	0.815371	−	0.578939i	$-0.196533\pi$
$271$	28.5336	−	2.99900i	1.73329	−	0.182176i	0.917921	+	0.396763i	$0.129866\pi$
$272$	−4.54119	−	3.29937i	−0.275350	−	0.200053i
$273$	4.62883	−	19.9138i	0.280150	−	1.20524i
$274$	−6.64236			−0.401280
$275$	−28.2839	+	2.08052i	−1.70559	+	0.125460i
$276$	−13.0356	−	5.52934i	−0.784648	−	0.332827i
$277$	9.05983	−	10.0620i	0.544353	−	0.604565i	−0.406712	−	0.913556i	$-0.633325\pi$
$277$	9.05983	−	10.0620i	0.544353	−	0.604565i	0.951065	+	0.308992i	$0.0999915\pi$
$278$	−12.0746	+	5.37597i	−0.724188	+	0.322429i
$279$	6.57551	−	2.39709i	0.393666	−	0.143510i
$280$	8.08388	−	5.43209i	0.483104	−	0.324629i
$281$	−11.9316	−	3.87681i	−0.711779	−	0.231271i	−0.0693237	−	0.997594i	$-0.522084\pi$
$281$	−11.9316	−	3.87681i	−0.711779	−	0.231271i	−0.642455	+	0.766323i	$0.722084\pi$
$282$	−0.380322	−	0.407637i	−0.0226479	−	0.0242744i
$283$	−23.0936	−	2.42724i	−1.37277	−	0.144284i	−0.610744	−	0.791828i	$-0.709130\pi$
$283$	−23.0936	−	2.42724i	−1.37277	−	0.144284i	−0.762028	+	0.647544i	$0.775796\pi$
$284$	−4.54506	−	4.09239i	−0.269700	−	0.242839i
$285$	1.83594	+	14.9211i	0.108752	+	0.883850i
$286$	−14.2088	+	4.12991i	−0.840182	+	0.244207i
$287$	−20.2360	−	2.88011i	−1.19449	−	0.170007i
$288$	−0.106227	−	2.99812i	−0.00625950	−	0.176666i
$289$	13.2539	−	5.90102i	0.779642	−	0.347119i
$290$	−6.61503	−	2.94520i	−0.388448	−	0.172948i
$291$	14.4565	−	16.6388i	0.847452	−	0.975385i
$292$	−4.42950	+	3.98834i	−0.259217	+	0.233400i
$293$	16.8427	−	12.2369i	0.983961	−	0.714890i	0.0253709	−	0.999678i	$-0.491923\pi$
$293$	16.8427	−	12.2369i	0.983961	−	0.714890i	0.958590	+	0.284788i	$0.0919233\pi$
$294$	11.7010	+	3.17600i	0.682415	+	0.185228i
$295$	6.73022	+	20.7135i	0.391848	+	1.20599i
$296$	−6.01109	−	3.47050i	−0.349388	−	0.201719i
$297$	−16.7749	+	3.95021i	−0.973376	+	0.229215i
$298$	9.38004	+	16.2467i	0.543371	+	0.941146i
$299$	35.6756	+	7.58308i	2.06317	+	0.438541i
$300$	0.262258	+	14.8084i	0.0151415	+	0.854963i
$301$	−11.0546	+	5.85302i	−0.637174	+	0.337362i
$302$	−12.3076	−	3.99900i	−0.708226	−	0.230116i
$303$	3.35138	−	17.2649i	0.192532	−	0.991840i
$304$	−0.959028	+	2.15401i	−0.0550040	+	0.123541i
$305$	−10.9670	−	1.15268i	−0.627967	−	0.0660020i
$306$	14.8726	+	7.89816i	0.850208	+	0.451507i
$307$		−	9.75485i		−	0.556739i	−0.960474	−	0.278369i	$-0.910206\pi$
$307$		−	9.75485i		−	0.556739i	0.960474	−	0.278369i	$-0.0897939\pi$
$308$	−2.13872	−	8.51034i	−0.121865	−	0.484922i
$309$	0.561149	−	0.423081i	0.0319227	−	0.0240682i
$310$	−8.40026	−	1.78553i	−0.477103	−	0.101411i
$311$	−2.75222	+	26.1856i	−0.156064	+	1.48485i	0.583692	+	0.811975i	$0.301608\pi$
$311$	−2.75222	+	26.1856i	−0.156064	+	1.48485i	−0.739756	+	0.672876i	$0.765059\pi$
$312$	1.74020	+	7.52888i	0.0985194	+	0.426239i
$313$	−18.3052	+	16.4820i	−1.03467	+	0.931621i	−0.997706	−	0.0676961i	$-0.978435\pi$
$313$	−18.3052	+	16.4820i	−1.03467	+	0.931621i	−0.0369634	+	0.999317i	$0.511769\pi$
$314$	−1.72052	+	5.29521i	−0.0970945	+	0.298826i
$315$	−21.7377	+	19.5239i	−1.22478	+	1.10005i
$316$	3.83046	+	2.78299i	0.215480	+	0.156556i
$317$	2.47228	−	11.6312i	0.138857	−	0.653272i	−0.852570	−	0.522613i	$-0.824957\pi$
$317$	2.47228	−	11.6312i	0.138857	−	0.653272i	0.991427	−	0.130659i	$-0.0417094\pi$
$318$	−3.98851	+	9.40301i	−0.223665	+	0.527295i
$319$	−4.51495	+	4.70930i	−0.252789	+	0.263670i
$320$	−1.84058	+	3.18798i	−0.102892	+	0.178214i
$321$	−7.00675	−	4.90351i	−0.391078	−	0.273687i
$322$	−5.26935	+	20.9777i	−0.293649	+	1.16904i
$323$	−7.77944	−	10.7075i	−0.432860	−	0.595780i
$324$	1.57187	+	8.86167i	0.0873262	+	0.492315i
$325$	−7.93168	−	37.3156i	−0.439971	−	2.06990i
$326$	−7.85737	+	17.6479i	−0.435179	+	0.977429i
$327$	18.8761	+	10.4569i	1.04385	+	0.578267i
$328$	7.34746	−	2.38733i	0.405696	−	0.131818i
$329$	−0.525474	+	0.670155i	−0.0289703	+	0.0369469i
$330$	20.0211	+	6.80729i	1.10212	+	0.374729i
$331$	5.34065	−	9.25027i	0.293548	−	0.508441i	−0.681098	−	0.732193i	$-0.738497\pi$
$331$	5.34065	−	9.25027i	0.293548	−	0.508441i	0.974646	+	0.223752i	$0.0718305\pi$
$332$	−4.08321	+	4.53487i	−0.224095	+	0.248883i
$333$	19.3108	+	7.79060i	1.05822	+	0.426922i
$334$	−0.953734	+	0.100242i	−0.0521860	+	0.00548497i
$335$	−13.4749	+	41.4715i	−0.736212	+	2.26583i
$336$	−4.49968	+	0.867671i	−0.245478	+	0.0473353i
$337$	−7.98701	+	5.80290i	−0.435080	+	0.316104i	−0.783677	−	0.621169i	$-0.786658\pi$
$337$	−7.98701	+	5.80290i	−0.435080	+	0.316104i	0.348597	+	0.937273i	$0.386658\pi$
$338$	−2.80815	−	6.30720i	−0.152743	−	0.343066i
$339$	−2.23778	+	25.6532i	−0.121539	+	1.39329i
$340$	−10.3316	−	17.8948i	−0.560309	−	0.970484i
$341$	−4.07650	+	6.57653i	−0.220755	+	0.356139i
$342$	1.94628	−	6.80055i	0.105243	−	0.367732i
$343$	2.03256	−	18.4084i	0.109748	−	0.993959i
$344$	2.77890	−	3.82483i	0.149828	−	0.206221i
$345$	−35.5585	−	38.1124i	−1.91441	−	2.05190i
$346$	0.824633	+	3.87959i	0.0443326	+	0.208568i
$347$	2.30339	+	10.8366i	0.123652	+	0.581738i	0.995725	+	0.0923627i	$0.0294419\pi$
$347$	2.30339	+	10.8366i	0.123652	+	0.581738i	−0.872073	+	0.489376i	$0.837225\pi$
$348$	2.32423	+	2.49116i	0.124592	+	0.133540i
$349$	−4.94705	+	6.80903i	−0.264810	+	0.364479i	−0.920629	−	0.390439i	$-0.872323\pi$
$349$	−4.94705	+	6.80903i	−0.264810	+	0.364479i	0.655819	+	0.754918i	$0.272323\pi$
$350$	22.2869	−	3.88957i	1.19128	−	0.207906i
$351$	−8.32428	−	21.6360i	−0.444317	−	1.15484i
$352$	2.14105	+	2.53296i	0.114118	+	0.135007i
$353$	−8.54150	−	14.7943i	−0.454618	−	0.787422i	0.544048	−	0.839054i	$-0.316891\pi$
$353$	−8.54150	−	14.7943i	−0.454618	−	0.787422i	−0.998666	+	0.0516323i	$0.983558\pi$
$354$	0.890534	−	10.2088i	0.0473314	−	0.542593i
$355$	−9.15724	−	20.5675i	−0.486016	−	1.09161i
$356$	0.351532	−	0.255403i	0.0186311	−	0.0135363i
$357$	8.41094	−	24.3090i	0.445154	−	1.28657i
$358$	−1.17502	+	3.61634i	−0.0621018	+	0.191130i
$359$	8.36433	−	0.879127i	0.441452	−	0.0463985i	0.118805	−	0.992918i	$-0.462094\pi$
$359$	8.36433	−	0.879127i	0.441452	−	0.0463985i	0.322648	+	0.946519i	$0.395427\pi$
$360$	4.13174	−	10.2415i	0.217762	−	0.539772i
$361$	8.99345	−	9.98824i	0.473339	−	0.525697i
$362$	10.8236	−	18.7470i	0.568876	−	0.985322i
$363$	11.8791	−	14.8959i	0.623489	−	0.781832i
$364$	10.9520	−	4.40261i	0.574039	−	0.230759i
$365$	−20.8676	+	6.78030i	−1.09226	+	0.354897i
$366$	4.53867	+	2.51431i	0.237240	+	0.131425i
$367$	1.56971	−	3.52562i	0.0819381	−	0.184036i	−0.867930	−	0.496686i	$-0.834550\pi$
$367$	1.56971	−	3.52562i	0.0819381	−	0.184036i	0.949868	+	0.312650i	$0.101217\pi$
$368$	−1.69971	−	7.99651i	−0.0886035	−	0.416847i
$369$	−20.8259	+	10.1706i	−1.08415	+	0.529462i
$370$	−15.0185	−	20.6712i	−0.780774	−	1.07464i
$371$	15.1320	+	3.80097i	0.785614	+	0.197336i
$372$	3.31059	+	2.31684i	0.171646	+	0.120123i
$373$	−11.1782	+	19.3611i	−0.578783	+	1.00248i	0.416837	+	0.908981i	$0.363139\pi$
$373$	−11.1782	+	19.3611i	−0.578783	+	1.00248i	−0.995619	+	0.0934996i	$0.970195\pi$
$374$	−18.3223	+	3.29902i	−0.947424	+	0.170588i
$375$	−8.84116	+	20.8432i	−0.456556	+	1.07634i
$376$	0.0669219	−	0.314843i	0.00345123	−	0.0162368i
$377$	−7.09979	−	5.15830i	−0.365658	−	0.265666i
$378$	13.0031	−	4.46302i	0.668809	−	0.229553i
$379$	3.54075	−	10.8973i	0.181876	−	0.559757i	−0.818005	−	0.575212i	$-0.804920\pi$
$379$	3.54075	−	10.8973i	0.181876	−	0.559757i	0.999881	+	0.0154551i	$0.00491970\pi$
$380$	−6.45025	+	5.80783i	−0.330891	+	0.297935i
$381$	1.95148	+	8.44297i	0.0999774	+	0.432546i
$382$	2.64866	−	25.2003i	0.135517	−	1.28936i
$383$	29.1357	+	6.19298i	1.48876	+	0.316447i	0.879262	−	0.476338i	$-0.158036\pi$
$383$	29.1357	+	6.19298i	1.48876	+	0.316447i	0.609502	+	0.792785i	$0.291370\pi$
$384$	1.38301	−	1.04273i	0.0705765	−	0.0532114i
$385$	5.54992	−	31.8217i	0.282850	−	1.62179i
$386$			25.0533i			1.27518i
$387$	−6.65224	+	12.5264i	−0.338152	+	0.636755i
$388$	12.6561	+	1.33021i	0.642516	+	0.0675312i
$389$	11.0531	−	24.8257i	0.560416	−	1.25871i	−0.381966	−	0.924176i	$-0.624753\pi$
$389$	11.0531	−	24.8257i	0.560416	−	1.25871i	0.942382	−	0.334538i	$-0.108580\pi$
$390$	−5.42058	+	27.9245i	−0.274482	+	1.41401i
$391$	43.6429	+	14.1805i	2.20712	+	0.717136i
$392$	2.37110	+	6.58619i	0.119759	+	0.332653i
$393$	−0.143520	−	8.10382i	−0.00723960	−	0.408784i
$394$	8.02352	+	1.70545i	0.404219	+	0.0859194i
$395$	8.71462	+	15.0942i	0.438480	+	0.759470i
$396$	−7.42158	−	6.62722i	−0.372949	−	0.333030i
$397$	−4.67421	−	2.69866i	−0.234592	−	0.135442i	0.378097	−	0.925766i	$-0.376579\pi$
$397$	−4.67421	−	2.69866i	−0.234592	−	0.135442i	−0.612689	+	0.790324i	$0.709912\pi$
$398$	−3.40756	−	10.4874i	−0.170805	−	0.525685i
$399$	−10.7226	−	1.33284i	−0.536799	−	0.0667254i
$400$	−6.91788	+	5.02613i	−0.345894	+	0.251307i
$401$	0.645634	−	0.581332i	0.0322414	−	0.0290303i	−0.652852	−	0.757485i	$-0.726428\pi$
$401$	0.645634	−	0.581332i	0.0322414	−	0.0290303i	0.685094	+	0.728455i	$0.259761\pi$
$402$	13.4566	−	15.4880i	0.671152	−	0.772470i
$403$	−9.50833	−	4.23338i	−0.473644	−	0.210880i
$404$	9.27608	−	4.12998i	0.461502	−	0.205474i
$405$	−7.98220	+	32.1545i	−0.396639	+	1.59777i
$406$	3.21128	−	4.09546i	0.159373	−	0.203254i
$407$	−22.1059	+	6.42528i	−1.09575	+	0.318489i
$408$	1.18732	+	9.64961i	0.0587811	+	0.477727i
$409$	26.8007	+	24.1314i	1.32521	+	1.19322i	0.965574	+	0.260129i	$0.0837652\pi$
$409$	26.8007	+	24.1314i	1.32521	+	1.19322i	0.359634	+	0.933093i	$0.382901\pi$
$410$	28.2833	+	2.97270i	1.39681	+	0.146811i
$411$	7.84847	+	8.41215i	0.387137	+	0.414941i
$412$	0.385886	+	0.125382i	0.0190112	+	0.00617713i
$413$	−15.6172	+	1.06460i	−0.768473	+	0.0523857i
$414$	8.39995	+	23.0421i	0.412835	+	1.13246i
$415$	−20.5214	+	9.13670i	−1.00735	+	0.448503i
$416$	−2.98526	+	3.31547i	−0.146364	+	0.162554i
$417$	21.0755	+	8.93967i	1.03207	+	0.437777i
$418$	2.95565	+	7.24007i	0.144566	+	0.354124i
$419$	0.666338			0.0325528			0.0162764	−	0.999868i	$-0.494819\pi$
$419$	0.666338			0.0325528			0.0162764	+	0.999868i	$0.494819\pi$
$420$	−16.4312	−	3.81932i	−0.801759	−	0.186364i
$421$	−22.8238	−	16.5825i	−1.11236	−	0.808179i	−0.129329	−	0.991602i	$-0.541282\pi$
$421$	−22.8238	−	16.5825i	−1.11236	−	0.808179i	−0.983034	+	0.183423i	$0.941282\pi$
$422$	15.8200	−	1.66275i	0.770107	−	0.0809415i
$423$	−0.0668677	+	0.963311i	−0.00325122	+	0.0468378i
$424$	−5.76816	+	1.22606i	−0.280127	+	0.0595428i
$425$	−5.01720	−	47.7355i	−0.243370	−	2.31551i
$426$	0.187577	+	10.5915i	0.00908814	+	0.513161i
$427$	2.72377	−	7.44295i	0.131813	−	0.360189i
$428$		−	4.93757i		−	0.238667i
$429$	22.0191	+	13.1147i	1.06309	+	0.633185i
$430$	15.0720	−	8.70180i	0.726835	−	0.419638i
$431$	−15.1346	−	13.6273i	−0.729008	−	0.656402i	0.218608	−	0.975813i	$-0.429848\pi$
$431$	−15.1346	−	13.6273i	−0.729008	−	0.656402i	−0.947616	+	0.319411i	$0.896515\pi$
$432$	−3.67142	+	3.67704i	−0.176641	+	0.176912i
$433$	−3.64287	−	5.01399i	−0.175065	−	0.240957i	0.712463	−	0.701709i	$-0.247580\pi$
$433$	−3.64287	−	5.01399i	−0.175065	−	0.240957i	−0.887529	+	0.460753i	$0.847580\pi$
$434$	2.71549	−	5.54295i	0.130348	−	0.266070i
$435$	4.08626	+	11.8575i	0.195921	+	0.568525i
$436$	1.30228	+	12.3904i	0.0623679	+	0.593391i
$437$	2.01488	−	19.1703i	0.0963846	−	0.917038i
$438$	10.2848	+	0.897162i	0.491427	+	0.0428680i
$439$	10.8710	+	6.27640i	0.518846	+	0.299556i	0.736463	−	0.676478i	$-0.236495\pi$
$439$	10.8710	+	6.27640i	0.518846	+	0.299556i	−0.217616	+	0.976034i	$0.569828\pi$
$440$	3.40765	+	11.7238i	0.162453	+	0.558912i
$441$	−9.80342	−	18.5713i	−0.466829	−	0.884347i
$442$	−7.73865	−	23.8171i	−0.368090	−	1.13287i
$443$	−16.7510	−	37.6234i	−0.795864	−	1.78754i	−0.586985	−	0.809598i	$-0.699685\pi$
$443$	−16.7510	−	37.6234i	−0.795864	−	1.78754i	−0.208879	−	0.977942i	$-0.566981\pi$
$444$	2.70739	+	11.7134i	0.128487	+	0.555892i
$445$	1.56458	−	0.332561i	0.0741680	−	0.0157649i
$446$	−9.76666	−	10.8470i	−0.462465	−	0.513619i
$447$	9.49223	−	31.0760i	0.448967	−	1.46985i
$448$	−1.89998	−	1.84122i	−0.0897654	−	0.0869895i
$449$	−20.0019	+	6.49900i	−0.943947	+	0.306707i	−0.740253	−	0.672328i	$-0.765294\pi$
$449$	−20.0019	+	6.49900i	−0.943947	+	0.306707i	−0.203693	+	0.979035i	$0.565294\pi$
$450$	18.4441	−	17.8294i	0.869461	−	0.840486i
$451$	11.1490	−	23.0701i	0.524987	−	1.08633i
$452$	−12.8753	+	7.43357i	−0.605604	+	0.349646i
$453$	9.47796	+	20.3120i	0.445314	+	0.954343i
$454$	9.10100	−	12.5265i	0.427131	−	0.587896i
$455$	43.4224	+	1.59243i	2.03567	+	0.0746542i
$456$	3.86110	−	1.33058i	0.180812	−	0.0623103i
$457$	21.9871	+	24.4192i	1.02851	+	1.14228i	0.989718	+	0.143034i	$0.0456857\pi$
$457$	21.9871	+	24.4192i	1.02851	+	1.14228i	0.0387963	+	0.999247i	$0.487648\pi$
$458$	10.5705	+	4.70629i	0.493927	+	0.219910i
$459$	−7.57056	−	28.1675i	−0.353363	−	1.31475i
$460$	6.25691	−	29.4364i	0.291730	−	1.37248i
$461$	0.143485			0.00668277			0.00334138	−	0.999994i	$-0.498936\pi$
$461$	0.143485			0.00668277			0.00334138	+	0.999994i	$0.498936\pi$
$462$	−8.25078	+	12.7642i	−0.383861	+	0.593844i
$463$	−22.0979			−1.02698			−0.513489	−	0.858096i	$-0.671647\pi$
$463$	−22.0979			−1.02698			−0.513489	+	0.858096i	$0.671647\pi$
$464$	−0.408974	+	1.92407i	−0.0189861	+	0.0893227i
$465$	7.66430	+	12.7482i	0.355423	+	0.591182i
$466$	14.1011	+	6.27821i	0.653221	+	0.290833i
$467$	−13.1740	−	14.6313i	−0.609622	−	0.677054i	0.356751	−	0.934200i	$-0.383885\pi$
$467$	−13.1740	−	14.6313i	−0.609622	−	0.677054i	−0.966373	+	0.257146i	$0.917218\pi$
$468$	7.47869	−	11.0998i	0.345703	−	0.513089i
$469$	−26.5492	−	16.6545i	−1.22593	−	0.769032i
$470$	0.696455	−	0.958588i	0.0321251	−	0.0442164i
$471$	8.73900	−	4.07778i	0.402672	−	0.187894i
$472$	5.12380	−	2.95823i	0.235842	−	0.136163i
$473$	−2.77861	−	15.4320i	−0.127760	−	0.709564i
$474$	−1.00150	−	8.13937i	−0.0460002	−	0.373854i
$475$	−19.1752	+	6.23039i	−0.879818	+	0.285870i
$476$	14.2830	−	4.06855i	0.654661	−	0.186482i
$477$	16.6211	−	6.05918i	0.761028	−	0.277431i
$478$	−2.94462	−	3.27034i	−0.134684	−	0.149582i
$479$	−13.5733	+	2.88509i	−0.620179	+	0.131823i	−0.507277	−	0.861783i	$-0.669348\pi$
$479$	−13.5733	+	2.88509i	−0.620179	+	0.131823i	−0.112902	+	0.993606i	$0.536015\pi$
$480$	6.21218	−	1.43586i	0.283546	−	0.0655379i
$481$	−12.5953	−	28.2894i	−0.574294	−	1.28989i
$482$	0.985243	+	3.03227i	0.0448766	+	0.138116i
$483$	32.7932	−	18.1135i	1.49214	−	0.824195i
$484$	10.9785	+	0.688009i	0.499021	+	0.0312731i
$485$	40.5697	+	23.4229i	1.84217	+	1.06358i
$486$	9.36549	−	12.4614i	0.424827	−	0.565263i
$487$	−0.618908	+	5.88852i	−0.0280454	+	0.266834i	0.971509	+	0.237001i	$0.0761644\pi$
$487$	−0.618908	+	5.88852i	−0.0280454	+	0.266834i	−0.999555	+	0.0298335i	$0.990502\pi$
$488$	0.313128	+	2.97921i	0.0141746	+	0.134863i
$489$	31.6342	−	10.9015i	1.43055	−	0.492985i
$490$	−1.88745	+	25.6989i	−0.0852664	+	1.16096i
$491$	20.8109	+	28.6437i	0.939183	+	1.29267i	0.956168	+	0.292819i	$0.0945932\pi$
$491$	20.8109	+	28.6437i	0.939183	+	1.29267i	−0.0169852	+	0.999856i	$0.505407\pi$
$492$	−11.7050	−	6.48430i	−0.527703	−	0.292335i
$493$	−8.20544	−	7.38821i	−0.369554	−	0.332748i
$494$	−9.11003	+	5.25968i	−0.409880	+	0.236644i
$495$	−15.0354	−	33.3988i	−0.675792	−	1.50117i
$496$			2.33294i			0.104752i
$497$	15.9404	−	2.78197i	0.715026	−	0.124789i
$498$	10.5678	−	0.187156i	0.473553	−	0.00838668i
$499$	−0.635236	−	6.04387i	−0.0284371	−	0.270561i	−0.999497	−	0.0317235i	$-0.989900\pi$
$499$	−0.635236	−	6.04387i	−0.0284371	−	0.270561i	0.971060	−	0.238837i	$-0.0767663\pi$
$500$	−12.7860	+	2.71776i	−0.571809	+	0.121542i
$501$	1.25386	+	1.08940i	0.0560184	+	0.0486710i
$502$	−20.8954	+	2.19619i	−0.932606	+	0.0980208i
$503$	19.6080	+	14.2461i	0.874278	+	0.635200i	0.931732	−	0.363148i	$-0.118298\pi$
$503$	19.6080	+	14.2461i	0.874278	+	0.635200i	−0.0574532	+	0.998348i	$0.518298\pi$
$504$	6.41558	+	4.67336i	0.285773	+	0.208168i
$505$	37.3783			1.66331
$506$	−23.0457	−	14.2850i	−1.02450	−	0.635046i
$507$	−4.66965	+	11.0088i	−0.207386	+	0.488918i
$508$	−3.34770	+	3.71800i	−0.148530	+	0.164960i
$509$	−27.3066	+	12.1577i	−1.21035	+	0.538881i	−0.909864	−	0.414907i	$-0.863814\pi$
$509$	−27.3066	+	12.1577i	−1.21035	+	0.538881i	−0.300482	+	0.953788i	$0.597147\pi$
$510$	−10.4552	+	34.2285i	−0.462962	+	1.51566i
$511$	−1.07253	−	15.7334i	−0.0474457	−	0.696007i
$512$	0.951057	+	0.309017i	0.0420312	+	0.0136568i
$513$	−10.9122	+	5.57055i	−0.481784	+	0.245946i
$514$	10.9055	+	1.14621i	0.481019	+	0.0505572i
$515$	1.10997	+	0.999422i	0.0489111	+	0.0440398i
$516$	−8.12740	+	1.00002i	−0.357789	+	0.0440236i
$517$	−0.600156	−	0.882871i	−0.0263948	−	0.0388286i
$518$	17.0390	−	6.84954i	0.748650	−	0.300951i
$519$	3.93891	−	5.62840i	0.172899	−	0.247059i
$520$	−15.0033	+	6.67989i	−0.657938	+	0.292933i
$521$	10.4989	+	4.67439i	0.459963	+	0.204789i	0.623619	−	0.781729i	$-0.285662\pi$
$521$	10.4989	+	4.67439i	0.459963	+	0.204789i	−0.163655	+	0.986518i	$0.552329\pi$
$522$	0.408643	−	5.88700i	0.0178858	−	0.257667i
$523$	−10.3058	+	9.27940i	−0.450642	+	0.405760i	−0.862954	−	0.505283i	$-0.831388\pi$
$523$	−10.3058	+	9.27940i	−0.450642	+	0.405760i	0.412312	+	0.911043i	$0.364721\pi$
$524$	3.78578	−	2.75053i	0.165382	−	0.120157i
$525$	−31.2596	−	23.6292i	−1.36428	−	1.03126i
$526$	3.56645	+	10.9764i	0.155505	+	0.478594i
$527$	−11.3409	−	6.54764i	−0.494015	−	0.285220i
$528$	0.678027	−	5.70441i	0.0295073	−	0.248253i
$529$	21.9166	+	37.9606i	0.952894	+	1.65046i
$530$	−21.2336	−	4.51333i	−0.922327	−	0.196047i
$531$	−13.9811	+	10.9347i	−0.606729	+	0.474527i
$532$	−2.91907	−	5.51322i	−0.126558	−	0.239028i
$533$	32.7800	+	10.6509i	1.41986	+	0.461340i
$534$	−0.738815	−	0.143416i	−0.0319716	−	0.00620620i
$535$	7.39285	−	16.6046i	0.319621	−	0.717880i
$536$	11.7807	+	1.23821i	0.508850	+	0.0534823i
$537$	5.96826	−	2.78490i	0.257550	−	0.120177i
$538$		−	12.6038i		−	0.543390i
$539$	21.2103	+	9.44055i	0.913591	+	0.406633i
$540$	−17.8522	+	6.86848i	−0.768235	+	0.295572i
$541$	−30.4510	−	6.47255i	−1.30919	−	0.278277i	−0.500102	−	0.865966i	$-0.666704\pi$
$541$	−30.4510	−	6.47255i	−1.30919	−	0.278277i	−0.809086	+	0.587690i	$0.800038\pi$
$542$	2.99900	−	28.5336i	0.128818	−	1.22562i
$543$	−36.5309	+	8.44364i	−1.56769	+	0.362351i
$544$	−4.17143	+	3.75598i	−0.178849	+	0.161036i
$545$	−14.1722	+	43.6176i	−0.607071	+	1.86837i
$546$	−18.5163	−	8.66800i	−0.792423	−	0.370956i
$547$	15.8403	+	11.5087i	0.677283	+	0.492075i	0.872455	−	0.488694i	$-0.162527\pi$
$547$	15.8403	+	11.5087i	0.677283	+	0.492075i	−0.195172	+	0.980769i	$0.562527\pi$
$548$	−1.38102	+	6.49721i	−0.0589944	+	0.277547i
$549$	−2.17857	−	8.71882i	−0.0929790	−	0.372110i
$550$	−3.84550	+	28.0984i	−0.163973	+	1.19812i
$551$	−2.31902	+	4.01666i	−0.0987936	+	0.171115i
$552$	−8.11876	+	11.6011i	−0.345557	+	0.493775i
$553$	−12.0476	+	3.43179i	−0.512317	+	0.145935i
$554$	−7.95844	−	10.9539i	−0.338122	−	0.465385i
$555$	−8.43329	+	43.4447i	−0.357973	+	1.84412i
$556$	2.74804	+	12.9285i	0.116543	+	0.548291i
$557$	−13.3076	+	29.8893i	−0.563859	+	1.26645i	0.376548	+	0.926397i	$0.377111\pi$
$557$	−13.3076	+	29.8893i	−0.563859	+	1.26645i	−0.940407	+	0.340051i	$0.889556\pi$
$558$	−0.977580	−	6.93020i	−0.0413843	−	0.293379i
$559$	20.0600	−	6.51790i	0.848449	−	0.275678i
$560$	−3.63265	−	9.03663i	−0.153508	−	0.381867i
$561$	25.8273	+	19.3061i	1.09043	+	0.815102i
$562$	−6.27281	+	10.8648i	−0.264602	+	0.458305i
$563$	12.5537	−	13.9423i	0.529075	−	0.587597i	−0.418065	−	0.908417i	$-0.637292\pi$
$563$	12.5537	−	13.9423i	0.529075	−	0.587597i	0.947140	+	0.320820i	$0.103958\pi$
$564$	−0.477803	+	0.287259i	−0.0201191	+	0.0120958i
$565$	−54.4286	+	5.72067i	−2.28983	+	0.240670i
$566$	−7.17563	+	22.0843i	−0.301614	+	0.928273i
$567$	−21.0164	−	11.1943i	−0.882605	−	0.470116i
$568$	−4.94793	+	3.59488i	−0.207611	+	0.150838i
$569$	7.72615	+	17.3532i	0.323897	+	0.727485i	0.999956	−	0.00936243i	$-0.00298020\pi$
$569$	7.72615	+	17.3532i	0.323897	+	0.727485i	−0.676059	+	0.736848i	$0.736314\pi$
$570$	14.9768	+	1.30645i	0.627307	+	0.0547211i
$571$	11.8339	+	20.4970i	0.495235	+	0.857772i	0.999985	−	0.00549323i	$-0.00174856\pi$
$571$	11.8339	+	20.4970i	0.495235	+	0.857772i	−0.504750	+	0.863266i	$0.668415\pi$
$572$	1.08550	+	14.7569i	0.0453869	+	0.617018i
$573$	−35.0442	+	26.4217i	−1.46399	+	1.10378i
$574$	−7.02448	+	19.1950i	−0.293196	+	0.801184i
$575$	41.0894	−	56.5547i	1.71355	−	2.35849i
$576$	−2.95469	−	0.519438i	−0.123112	−	0.0216432i
$577$	5.26062	+	24.7493i	0.219003	+	1.03033i	0.940994	+	0.338424i	$0.109894\pi$
$577$	5.26062	+	24.7493i	0.219003	+	1.03033i	−0.721991	+	0.691902i	$0.756773\pi$
$578$	−3.01643	−	14.1912i	−0.125467	−	0.590275i
$579$	31.7285	−	29.6024i	1.31859	−	1.23024i
$580$	−4.25618	+	5.85813i	−0.176728	+	0.243246i
$581$	−2.77573	−	15.9047i	−0.115157	−	0.659837i
$582$	−13.2696	−	17.6000i	−0.550041	−	0.729541i
$583$	−10.3043	+	16.6237i	−0.426760	+	0.688482i
$584$	2.98024	+	5.16193i	0.123323	+	0.213602i
$585$	41.7695	−	26.1301i	1.72696	−	1.08035i
$586$	−8.46774	−	19.0189i	−0.349799	−	0.785662i
$587$	2.79600	−	2.03141i	0.115403	−	0.0838454i	−0.528587	−	0.848879i	$-0.677278\pi$
$587$	2.79600	−	2.03141i	0.115403	−	0.0838454i	0.643990	+	0.765034i	$0.277278\pi$
$588$	5.53937	−	10.7850i	0.228440	−	0.444764i
$589$	−1.69982	+	5.23151i	−0.0700399	+	0.215561i
$590$	21.6601	−	2.27657i	0.891733	−	0.0937250i
$591$	−7.32057	−	12.1764i	−0.301128	−	0.500872i
$592$	−4.64444	+	5.15818i	−0.190885	+	0.212000i
$593$	−12.6041	+	21.8310i	−0.517590	+	0.896492i	0.482201	+	0.876060i	$0.339837\pi$
$593$	−12.6041	+	21.8310i	−0.517590	+	0.896492i	−0.999791	+	0.0204317i	$0.993496\pi$
$594$	0.376202	+	17.2296i	0.0154358	+	0.706938i
$595$	54.1242	+	7.70327i	2.21887	+	0.315803i
$596$	17.8419	−	5.79718i	0.730833	−	0.237462i
$597$	−9.25535	+	16.7071i	−0.378796	+	0.683778i
$598$	14.8348	−	33.3194i	0.606638	−	1.36253i
$599$	2.82100	+	13.2718i	0.115263	+	0.542270i	0.997450	+	0.0713706i	$0.0227373\pi$
$599$	2.82100	+	13.2718i	0.115263	+	0.542270i	−0.882187	+	0.470900i	$0.843929\pi$
$600$	14.5393	+	2.82231i	0.593565	+	0.115220i
$601$	2.21011	+	3.04195i	0.0901522	+	0.124084i	0.851711	−	0.524012i	$-0.175565\pi$
$601$	2.21011	+	3.04195i	0.0901522	+	0.124084i	−0.761558	+	0.648096i	$0.775565\pi$
$602$	3.42675	+	12.0299i	0.139664	+	0.490302i
$603$	−35.5146	+	1.25833i	−1.44627	+	0.0512431i
$604$	−6.47051	+	11.2073i	−0.263281	+	0.456017i
$605$	35.8895	+	18.7514i	1.45911	+	0.762352i
$606$	−16.1908	−	6.86771i	−0.657706	−	0.278982i
$607$	−0.715800	+	3.36758i	−0.0290534	+	0.136686i	−0.990284	−	0.139061i	$-0.955592\pi$
$607$	−0.715800	+	3.36758i	−0.0290534	+	0.136686i	0.961230	+	0.275746i	$0.0889250\pi$
$608$	1.90755	+	1.38592i	0.0773613	+	0.0562063i
$609$	−8.98104	+	0.772212i	−0.363930	+	0.0312916i
$610$	−3.40765	+	10.4877i	−0.137972	+	0.424633i
$611$	1.06717	−	0.960884i	0.0431731	−	0.0388732i
$612$	10.8177	−	12.9054i	0.437281	−	0.521672i
$613$	−0.204590	+	1.94654i	−0.00826330	+	0.0786200i	−0.997876	−	0.0651368i	$-0.979252\pi$
$613$	−0.204590	+	1.94654i	−0.00826330	+	0.0786200i	0.989613	+	0.143757i	$0.0459183\pi$
$614$	−9.54168	−	2.02815i	−0.385071	−	0.0818494i
$615$	−29.6542	−	39.3316i	−1.19577	−	1.58600i
$616$	−8.76903	+	0.322580i	−0.353314	+	0.0129971i
$617$		−	22.5224i		−	0.906718i	−0.891328	−	0.453359i	$-0.850226\pi$
$617$		−	22.5224i		−	0.906718i	0.891328	−	0.453359i	$-0.149774\pi$
$618$	−0.297166	−	0.636850i	−0.0119538	−	0.0256179i
$619$	15.9969	+	1.68134i	0.642968	+	0.0675787i	0.420401	−	0.907339i	$-0.361889\pi$
$619$	15.9969	+	1.68134i	0.642968	+	0.0675787i	0.222568	+	0.974917i	$0.428556\pi$
$620$	−3.49302	+	7.84546i	−0.140283	+	0.315081i
$621$	19.2563	−	37.8641i	0.772727	−	1.51943i
$622$	25.0412	+	8.13638i	1.00406	+	0.326239i
$623$	−0.0421318	+	1.14885i	−0.00168798	+	0.0460278i
$624$	7.72616	−	0.136831i	0.309294	−	0.00547763i
$625$	−5.24697	−	1.11528i	−0.209879	−	0.0446111i
$626$	12.3160	+	21.3320i	0.492247	+	0.852597i
$627$	5.67679	−	12.2979i	0.226709	−	0.491130i
$628$	4.82178	+	2.78386i	0.192410	+	0.111088i
$629$	−12.0397	−	37.0545i	−0.480056	−	1.47746i
$630$	14.5778	+	25.3219i	0.580793	+	1.00885i
$631$	−26.0065	+	18.8949i	−1.03530	+	0.752193i	−0.969363	−	0.245631i	$-0.921005\pi$
$631$	−26.0065	+	18.8949i	−1.03530	+	0.752193i	−0.0659408	+	0.997824i	$0.521005\pi$
$632$	3.51857	−	3.16814i	0.139961	−	0.126022i
$633$	−20.7984	−	18.0704i	−0.826661	−	0.718236i
$634$	−10.8630	−	4.83652i	−0.431425	−	0.192083i
$635$	−16.8249	+	7.49091i	−0.667674	+	0.297268i
$636$	8.36827	+	5.85635i	0.331824	+	0.232219i
$637$	−8.71312	+	29.9897i	−0.345226	+	1.18824i
$638$	3.66768	+	5.39541i	0.145205	+	0.213606i
$639$	13.1919	−	12.7523i	0.521864	−	0.504472i
$640$	2.73564	+	2.46318i	0.108136	+	0.0973657i
$641$	−35.7102	−	3.75329i	−1.41047	−	0.148246i	−0.631532	−	0.775350i	$-0.717574\pi$
$641$	−35.7102	−	3.75329i	−1.41047	−	0.148246i	−0.778936	+	0.627104i	$0.784240\pi$
$642$	−6.25314	+	5.83413i	−0.246792	+	0.230255i
$643$	−15.3634	−	4.99187i	−0.605873	−	0.196860i	−0.0100149	−	0.999950i	$-0.503188\pi$
$643$	−15.3634	−	4.99187i	−0.605873	−	0.196860i	−0.595858	+	0.803090i	$0.703188\pi$
$644$	19.4238	+	9.51572i	0.765404	+	0.374972i
$645$	−28.8290	−	8.80588i	−1.13514	−	0.346731i
$646$	−12.0909	+	5.38323i	−0.475712	+	0.211800i
$647$	−4.78747	+	5.31702i	−0.188215	+	0.209034i	−0.829866	−	0.557963i	$-0.811583\pi$
$647$	−4.78747	+	5.31702i	−0.188215	+	0.209034i	0.641651	+	0.766997i	$0.278250\pi$
$648$	8.99483	+	0.304922i	0.353350	+	0.0119785i
$649$	4.67833	−	19.0568i	0.183640	−	0.748045i
$650$	−38.1493			−1.49634
$651$	−10.2284	+	3.11042i	−0.400882	+	0.121907i
$652$	15.6287	+	11.3549i	0.612065	+	0.444691i
$653$	−24.1077	+	2.53382i	−0.943406	+	0.0991560i	−0.563726	−	0.825962i	$-0.690633\pi$
$653$	−24.1077	+	2.53382i	−0.943406	+	0.0991560i	−0.379680	+	0.925118i	$0.623966\pi$
$654$	14.1529	−	16.2895i	0.553423	−	0.636968i
$655$	16.8495	−	3.58147i	0.658364	−	0.139940i
$656$	−0.807543	−	7.68326i	−0.0315292	−	0.299981i
$657$	−11.0161	−	14.0852i	−0.429779	−	0.549515i
$658$	0.546259	+	0.653324i	0.0212954	+	0.0254692i
$659$			0.650596i			0.0253436i	0.999920	+	0.0126718i	$0.00403367\pi$
$659$			0.650596i			0.0253436i	−0.999920	+	0.0126718i	$0.995966\pi$
$660$	10.8211	−	18.1682i	0.421213	−	0.707197i
$661$	−9.00617	+	5.19972i	−0.350299	+	0.202245i	−0.664817	−	0.747006i	$-0.731491\pi$
$661$	−9.00617	+	5.19972i	−0.350299	+	0.202245i	0.314518	+	0.949252i	$0.398157\pi$
$662$	−7.93775	−	7.14718i	−0.308509	−	0.277783i
$663$	−21.0191	+	37.9424i	−0.816316	+	1.47356i
$664$	3.58682	+	4.93684i	0.139196	+	0.191586i
$665$	−1.56181	−	22.9111i	−0.0605645	−	0.888453i
$666$	11.6353	−	17.2690i	0.450858	−	0.669161i
$667$	−1.68092	−	15.9929i	−0.0650855	−	0.619247i
$668$	−0.100242	+	0.953734i	−0.00387846	+	0.0369011i
$669$	−2.19697	+	25.1854i	−0.0849398	+	0.973726i
$670$	37.7636	+	21.8028i	1.45894	+	0.842317i
$671$	7.85122	+	6.08849i	0.303093	+	0.235044i
$672$	−0.0868269	+	4.58175i	−0.00334942	+	0.176745i
$673$	−15.6644	−	48.2101i	−0.603819	−	1.85836i	−0.504716	−	0.863285i	$-0.668403\pi$
$673$	−15.6644	−	48.2101i	−0.603819	−	1.85836i	−0.0991021	−	0.995077i	$-0.531597\pi$
$674$	4.01550	+	9.01896i	0.154671	+	0.347397i
$675$	−44.3730	−	2.29146i	−1.70792	−	0.0881983i
$676$	−6.75322	+	1.43544i	−0.259739	+	0.0552093i
$677$	−11.9520	−	13.2740i	−0.459352	−	0.510162i	0.468320	−	0.883559i	$-0.344860\pi$
$677$	−11.9520	−	13.2740i	−0.459352	−	0.510162i	−0.927672	+	0.373397i	$0.878193\pi$
$678$	24.6274	+	7.52248i	0.945809	+	0.288899i
$679$	−23.4310	+	24.1787i	−0.899201	+	0.927895i
$680$	−19.6518	+	6.38527i	−0.753614	+	0.244864i
$681$	−26.6176	+	3.27511i	−1.01999	+	0.125503i
$682$	5.58526	+	5.35476i	0.213871	+	0.205044i
$683$	−12.9494	+	7.47636i	−0.495497	+	0.286075i	−0.726852	−	0.686794i	$-0.759017\pi$
$683$	−12.9494	+	7.47636i	−0.495497	+	0.286075i	0.231355	+	0.972869i	$0.425684\pi$
$684$	−6.24729	−	3.31766i	−0.238871	−	0.126854i
$685$	−14.3723	+	19.7818i	−0.549137	+	0.755823i
$686$	−17.5835	−	5.81547i	−0.671342	−	0.222036i
$687$	−6.52964	−	18.9477i	−0.249121	−	0.722901i
$688$	−3.16348	−	3.51340i	−0.120607	−	0.133947i
$689$	−24.0345	−	10.7008i	−0.915640	−	0.407669i
$690$	−44.6725	+	26.8575i	−1.70065	+	1.02245i
$691$	−3.29205	+	15.4879i	−0.125235	+	0.589187i	0.870113	+	0.492851i	$0.164045\pi$
$691$	−3.29205	+	15.4879i	−0.125235	+	0.589187i	−0.995349	+	0.0963352i	$0.969288\pi$
$692$	3.96627			0.150775
$693$	25.9140	−	4.63278i	0.984393	−	0.175985i
$694$	11.0787			0.420541
$695$	−10.1160	+	47.5919i	−0.383721	+	1.80526i
$696$	2.91996	−	1.75550i	0.110681	−	0.0665420i
$697$	39.6162	+	17.6383i	1.50057	+	0.668097i
$698$	5.63169	+	6.25462i	0.213163	+	0.236741i
$699$	−8.71057	−	25.2764i	−0.329464	−	0.956041i
$700$	0.829122	−	22.6085i	0.0313379	−	0.854522i
$701$	−5.43451	+	7.47996i	−0.205259	+	0.282514i	−0.899219	−	0.437499i	$-0.855864\pi$
$701$	−5.43451	+	7.47996i	−0.205259	+	0.282514i	0.693960	+	0.720013i	$0.255864\pi$
$702$	−22.8939	+	3.64399i	−0.864075	+	0.137534i
$703$	−14.1733	+	8.18296i	−0.534556	+	0.308626i
$704$	2.92276	−	1.56763i	0.110156	−	0.0590823i
$705$	−2.03691	+	0.250628i	−0.0767145	+	0.00943921i
$706$	−16.2469	+	5.27894i	−0.611460	+	0.198675i
$707$	−6.54478	+	26.0554i	−0.246142	+	0.979913i
$708$	−9.80059	−	2.99361i	−0.368329	−	0.112507i
$709$	−14.6095	−	16.2255i	−0.548672	−	0.609362i	0.403479	−	0.914989i	$-0.367801\pi$
$709$	−14.6095	−	16.2255i	−0.548672	−	0.609362i	−0.952151	+	0.305627i	$0.901134\pi$
$710$	−22.0219	+	4.68091i	−0.826469	+	0.175671i
$711$	−9.12469	+	10.8856i	−0.342203	+	0.408244i
$712$	−0.176734	−	0.396951i	−0.00662339	−	0.0148764i
$713$	−5.89361	−	18.1387i	−0.220717	−	0.679298i
$714$	−22.0291	−	13.2813i	−0.824418	−	0.497039i
$715$	−18.4446	+	51.2515i	−0.689788	+	1.91670i
$716$	3.29302	+	1.90122i	0.123066	+	0.0710521i
$717$	−0.662381	+	7.59335i	−0.0247371	+	0.283579i
$718$	0.879127	−	8.36433i	0.0328087	−	0.312154i
$719$	−3.00343	−	28.5758i	−0.112009	−	1.06570i	−0.895735	−	0.444589i	$-0.853350\pi$
$719$	−3.00343	−	28.5758i	−0.112009	−	1.06570i	0.783726	−	0.621107i	$-0.213317\pi$
$720$	−9.15862	−	6.17077i	−0.341321	−	0.229971i
$721$	−0.891020	+	0.598735i	−0.0331833	+	0.0222981i
$722$	−7.90013	−	10.8736i	−0.294012	−	0.404673i
$723$	2.67604	−	4.83061i	0.0995231	−	0.179652i
$724$	−16.0870	−	14.4848i	−0.597869	−	0.538324i
$725$	−14.5667	+	8.41011i	−0.540995	+	0.312344i
$726$	−12.1006	−	14.7165i	−0.449095	−	0.546181i
$727$		−	12.2626i		−	0.454796i	−0.973802	−	0.227398i	$-0.926978\pi$
$727$		−	12.2626i		−	0.454796i	0.973802	−	0.227398i	$-0.0730218\pi$
$728$	−2.02935	−	11.6280i	−0.0752129	−	0.430962i
$729$	−26.8477	+	2.86334i	−0.994361	+	0.106050i
$730$	2.29351	+	21.8213i	0.0848867	+	0.807643i
$731$	25.9579	−	5.51753i	0.960089	−	0.204073i
$732$	3.40301	−	3.91674i	0.125779	−	0.144767i
$733$	31.1637	−	3.27544i	1.15106	−	0.120981i	0.490281	−	0.871564i	$-0.336894\pi$
$733$	31.1637	−	3.27544i	1.15106	−	0.120981i	0.660776	+	0.750583i	$0.270227\pi$
$734$	−3.12222	−	2.26842i	−0.115243	−	0.0837290i
$735$	34.7763	−	27.9750i	1.28274	−	1.03187i
$736$	−8.17515			−0.301340
$737$	30.0045	−	25.3621i	1.10523	−	0.934225i
$738$	5.61843	+	22.4854i	0.206817	+	0.827700i
$739$	−1.49487	+	1.66022i	−0.0549897	+	0.0610723i	−0.770012	−	0.638029i	$-0.779750\pi$
$739$	−1.49487	+	1.66022i	−0.0549897	+	0.0610723i	0.715022	+	0.699102i	$0.246417\pi$
$740$	−23.3420	+	10.3925i	−0.858069	+	0.382037i
$741$	17.4253	+	5.32259i	0.640134	+	0.195530i
$742$	6.86403	−	14.0111i	0.251986	−	0.514362i
$743$	1.97610	+	0.642074i	0.0724960	+	0.0235554i	0.345040	−	0.938588i	$-0.387865\pi$
$743$	1.97610	+	0.642074i	0.0724960	+	0.0235554i	−0.272544	+	0.962143i	$0.587865\pi$
$744$	2.95453	−	2.75655i	0.108318	−	0.101060i
$745$	68.6806	+	7.21862i	2.51626	+	0.264470i
$746$	16.6140	+	14.9593i	0.608281	+	0.547698i
$747$	−12.7237	−	13.1623i	−0.465535	−	0.481584i
$748$	−0.582495	+	18.6078i	−0.0212981	+	0.680369i
$749$	10.2802	+	8.06075i	0.375629	+	0.294534i
$750$	18.5496	+	12.9815i	0.677335	+	0.474018i
$751$	24.5794	−	10.9435i	0.896916	−	0.399333i	0.0941025	−	0.995563i	$-0.470002\pi$
$751$	24.5794	−	10.9435i	0.896916	−	0.399333i	0.802814	+	0.596230i	$0.203335\pi$
$752$	−0.294049	−	0.130919i	−0.0107229	−	0.00477412i
$753$	27.4709	+	23.8678i	1.00109	+	0.869790i
$754$	−6.52170	+	5.87217i	−0.237506	+	0.213852i
$755$	−38.5400	+	28.0009i	−1.40261	+	1.01906i
$756$	−1.66198	−	13.6469i	−0.0604458	−	0.496333i
$757$	9.78801	+	30.1244i	0.355751	+	1.09489i	0.955573	+	0.294756i	$0.0952383\pi$
$757$	9.78801	+	30.1244i	0.355751	+	1.09489i	−0.599821	+	0.800134i	$0.704762\pi$
$758$	−9.92300	−	5.72905i	−0.360420	−	0.208088i
$759$	9.13915	+	46.0648i	0.331730	+	1.67205i
$760$	4.33983	+	7.51681i	0.157422	+	0.272663i
$761$	44.8967	+	9.54308i	1.62750	+	0.345936i	0.929117	−	0.369785i	$-0.120569\pi$
$761$	44.8967	+	9.54308i	1.62750	+	0.345936i	0.698386	+	0.715722i	$0.253902\pi$
$762$	8.66421	−	0.153444i	0.313871	−	0.00555869i
$763$	−27.9231	−	17.5163i	−1.01088	−	0.634133i
$764$	−24.0989	−	7.83021i	−0.871868	−	0.283287i
$765$	55.7019	−	27.2028i	2.01391	−	0.983520i
$766$	12.1153	−	27.2114i	0.437744	−	0.983188i
$767$	26.2511	+	2.75910i	0.947871	+	0.0996253i
$768$	−0.732397	−	1.56958i	−0.0264281	−	0.0566375i
$769$		−	6.74456i		−	0.243215i	−0.992578	−	0.121608i	$-0.961195\pi$
$769$		−	6.74456i		−	0.243215i	0.992578	−	0.121608i	$-0.0388049\pi$
$770$	−29.9725	−	12.0448i	−1.08013	−	0.434063i
$771$	−11.4341	−	15.1655i	−0.411787	−	0.546171i
$772$	24.5058	+	5.20887i	0.881984	+	0.187471i
$773$	1.10380	−	10.5019i	0.0397008	−	0.377728i	−0.956574	−	0.291490i	$-0.905849\pi$
$773$	1.10380	−	10.5019i	0.0397008	−	0.377728i	0.996275	−	0.0862376i	$-0.0274844\pi$
$774$	10.8696	+	9.11127i	0.390701	+	0.327498i
$775$	−14.8249	+	13.3484i	−0.532526	+	0.479489i
$776$	3.93249	−	12.1030i	0.141168	−	0.434471i
$777$	−28.8074	−	13.4856i	−1.03346	−	0.483793i
$778$	−21.9852	−	15.9731i	−0.788206	−	0.572665i
$779$	3.78728	−	17.8178i	0.135694	−	0.638388i
$780$	26.1873	+	11.1080i	0.937654	+	0.397728i
$781$	−2.75045	+	20.0971i	−0.0984189	+	0.719130i
$782$	22.9445	−	39.7410i	0.820492	−	1.42113i
$783$	−7.93838	+	6.43843i	−0.283694	+	0.230091i
$784$	6.93524	−	0.949945i	0.247687	−	0.0339266i
$785$	12.0471	+	16.5813i	0.429978	+	0.591814i
$786$	−7.95657	−	1.54450i	−0.283802	−	0.0550904i
$787$	−7.21631	−	33.9501i	−0.257234	−	1.21019i	−0.897143	−	0.441739i	$-0.854362\pi$
$787$	−7.21631	−	33.9501i	−0.257234	−	1.21019i	0.639910	−	0.768450i	$-0.278972\pi$
$788$	3.33637	−	7.49360i	0.118853	−	0.266948i
$789$	9.68692	−	17.4862i	0.344863	−	0.622524i
$790$	16.5762	−	5.38593i	0.589754	−	0.191623i
$791$	5.54249	−	38.9423i	0.197068	−	1.38463i
$792$	−8.02544	+	5.88153i	−0.285171	+	0.208991i
$793$	−6.68234	+	11.5742i	−0.237297	+	0.411010i
$794$	−3.61151	+	4.01098i	−0.128168	+	0.142345i
$795$	19.3733	+	32.2239i	0.687099	+	1.14286i
$796$	−10.9667	+	1.15264i	−0.388704	+	0.0408544i
$797$	6.90719	−	21.2582i	0.244665	−	0.753002i	−0.751026	−	0.660273i	$-0.770441\pi$
$797$	6.90719	−	21.2582i	0.244665	−	0.753002i	0.995691	−	0.0927297i	$-0.0295593\pi$
$798$	−3.53306	+	10.2111i	−0.125069	+	0.361470i
$799$	1.46170	−	1.06199i	0.0517113	−	0.0375704i
$800$	3.47799	+	7.81170i	0.122966	+	0.276185i
$801$	0.691341	+	1.10512i	0.0244273	+	0.0390476i
$802$	−0.434393	−	0.752391i	−0.0153390	−	0.0265679i
$803$	19.1986	+	4.71315i	0.677505	+	0.166323i
$804$	−12.3518	−	16.3826i	−0.435613	−	0.577771i
$805$	51.0729	+	61.0830i	1.80008	+	2.15289i
$806$	−6.11777	+	8.42038i	−0.215489	+	0.296595i
$807$	−15.9620	+	14.8924i	−0.561889	+	0.524238i
$808$	−2.11112	−	9.93204i	−0.0742690	−	0.349408i
$809$	2.12663	+	10.0050i	0.0747685	+	0.351758i	0.999590	−	0.0286441i	$-0.00911893\pi$
$809$	2.12663	+	10.0050i	0.0747685	+	0.351758i	−0.924821	+	0.380402i	$0.875786\pi$
$810$	29.7923	+	14.4931i	1.04679	+	0.509234i
$811$	−28.7291	+	39.5421i	−1.00881	+	1.38851i	−0.0890554	+	0.996027i	$0.528385\pi$
$811$	−28.7291	+	39.5421i	−1.00881	+	1.38851i	−0.919758	+	0.392486i	$0.871615\pi$
$812$	−3.33830	−	3.99260i	−0.117151	−	0.140113i
$813$	−39.6796	+	29.9166i	−1.39163	+	1.04922i
$814$	1.68881	+	22.9587i	0.0591926	+	0.804702i
$815$	35.5565	+	61.5857i	1.24549	+	2.15725i
$816$	9.68560	+	0.844892i	0.339064	+	0.0295771i
$817$	−4.53404	−	10.1836i	−0.158626	−	0.356280i
$818$	29.1763	−	21.1978i	1.02012	−	0.741164i
$819$	10.9009	+	33.6917i	0.380909	+	1.17728i
$820$	8.78817	−	27.0472i	0.306896	−	0.944529i
$821$	−23.1180	+	2.42980i	−0.806825	+	0.0848008i	−0.498955	−	0.866628i	$-0.666283\pi$
$821$	−23.1180	+	2.42980i	−0.806825	+	0.0848008i	−0.307870	+	0.951428i	$0.599616\pi$
$822$	9.86012	−	5.92798i	0.343911	−	0.206762i
$823$	−25.8014	+	28.6554i	−0.899380	+	0.998863i	0.100612	+	0.994926i	$0.467920\pi$
$823$	−25.8014	+	28.6554i	−0.899380	+	0.998863i	−0.999992	+	0.00393704i	$0.998747\pi$
$824$	0.202872	−	0.351385i	0.00706739	−	0.0122411i
$825$	40.1287	−	28.3304i	1.39710	−	0.986338i
$826$	−2.20567	+	15.4973i	−0.0767449	+	0.539220i
$827$	34.4694	−	11.1998i	1.19862	−	0.389455i	0.359367	−	0.933196i	$-0.382993\pi$
$827$	34.4694	−	11.1998i	1.19862	−	0.389455i	0.839253	+	0.543741i	$0.182993\pi$
$828$	24.2850	−	3.42567i	0.843963	−	0.119050i
$829$	17.8238	−	40.0330i	0.619047	−	1.39040i	−0.283148	−	0.959076i	$-0.591379\pi$
$829$	17.8238	−	40.0330i	0.619047	−	1.39040i	0.902196	−	0.431327i	$-0.141954\pi$
$830$	4.67041	+	21.9726i	0.162112	+	0.762679i
$831$	−4.46888	+	23.0217i	−0.155024	+	0.798615i
$832$	2.62235	+	3.60935i	0.0909135	+	0.125132i
$833$	−14.8467	+	36.3797i	−0.514406	+	1.26048i
$834$	13.1262	−	18.7563i	0.454522	−	0.649476i
$835$	−1.76510	+	3.05723i	−0.0610836	+	0.105800i
$836$	7.69637	−	1.38577i	0.266185	−	0.0479278i
$837$	−7.62160	+	9.42663i	−0.263441	+	0.325832i
$838$	0.138540	−	0.651777i	0.00478577	−	0.0225153i
$839$	37.8907	+	27.5292i	1.30813	+	0.950414i	1.00000		0.000929658i	$-0.000295919\pi$
$839$	37.8907	+	27.5292i	1.30813	+	0.950414i	0.308133	+	0.951343i	$0.400296\pi$
$840$	−7.15209	+	15.2780i	−0.246770	+	0.527142i
$841$	7.76581	−	23.9007i	0.267787	−	0.824162i
$842$	−20.9654	+	18.8773i	−0.722516	+	0.650556i
$843$	21.1715	−	4.89350i	0.729184	−	0.168541i
$844$	1.66275	−	15.8200i	0.0572343	−	0.544548i
$845$	−24.8597	−	5.28409i	−0.855200	−	0.181778i
$846$	0.928358	+	0.265690i	0.0319176	+	0.00913461i
$847$	−19.3552	+	21.7343i	−0.665051	+	0.746798i
$848$			5.89703i			0.202505i
$849$	36.4470	−	17.0068i	1.25086	−	0.583673i
$850$	−47.7355	−	5.01720i	−1.63731	−	0.172089i
$851$	23.0798	−	51.8380i	0.791165	−	1.77699i
$852$	10.3991	+	2.01862i	0.356266	+	0.0691569i
$853$	−6.94279	−	2.25585i	−0.237717	−	0.0772388i	0.187736	−	0.982220i	$-0.439885\pi$
$853$	−6.94279	−	2.25585i	−0.237717	−	0.0772388i	−0.425453	+	0.904981i	$0.639885\pi$
$854$	−6.71400	−	4.21173i	−0.229748	−	0.144122i
$855$	−16.0417	−	20.5108i	−0.548614	−	0.701456i
$856$	−4.82968	−	1.02658i	−0.165075	−	0.0350878i
$857$	−18.2095	−	31.5397i	−0.622024	−	1.07738i	−0.989108	−	0.147189i	$-0.952977\pi$
$857$	−18.2095	−	31.5397i	−0.622024	−	1.07738i	0.367085	−	0.930188i	$-0.380356\pi$
$858$	17.4062	−	18.8112i	0.594237	−	0.642203i
$859$	−39.2598	−	22.6666i	−1.33953	−	0.773375i	−0.352789	−	0.935703i	$-0.614767\pi$
$859$	−39.2598	−	22.6666i	−1.33953	−	0.773375i	−0.986737	+	0.162328i	$0.948100\pi$
$860$	−5.37801	−	16.5518i	−0.183389	−	0.564412i
$861$	32.6093	−	13.7843i	1.11132	−	0.469769i
$862$	−16.4761	+	11.9706i	−0.561179	+	0.407721i
$863$	−8.87325	+	7.98951i	−0.302049	+	0.271966i	−0.806192	−	0.591654i	$-0.798475\pi$
$863$	−8.87325	+	7.98951i	−0.302049	+	0.271966i	0.504143	+	0.863620i	$0.331808\pi$
$864$	2.83336	+	4.35569i	0.0963929	+	0.148184i
$865$	13.3382	+	5.93855i	0.453512	+	0.201917i
$866$	−5.66181	+	2.52080i	−0.192396	+	0.0856603i
$867$	−14.4081	+	20.5881i	−0.489326	+	0.699209i
$868$	−4.85724	−	3.80860i	−0.164865	−	0.129272i
$869$	0.491330	−	15.6956i	0.0166672	−	0.532436i
$870$	12.4480	−	1.53164i	0.422027	−	0.0519276i
$871$	39.2738	+	35.3623i	1.33074	+	1.19820i
$872$	12.3904	+	1.30228i	0.419591	+	0.0441008i
$873$	−6.61027	+	37.6008i	−0.223724	+	1.27260i
$874$	−18.3324	−	5.95657i	−0.620104	−	0.201484i
$875$	15.2152	−	31.0577i	0.514367	−	1.04994i
$876$	3.01589	−	9.87353i	0.101897	−	0.333596i
$877$	14.0584	−	6.25919i	0.474718	−	0.211358i	−0.155409	−	0.987850i	$-0.549670\pi$
$877$	14.0584	−	6.25919i	0.474718	−	0.211358i	0.630127	+	0.776492i	$0.283003\pi$
$878$	8.39946	−	9.32855i	0.283468	−	0.314823i
$879$	−14.0809	+	33.1962i	−0.474939	+	1.11968i
$880$	12.1761	−	0.895658i	0.410458	−	0.0301926i
$881$	−18.7431			−0.631472			−0.315736	−	0.948847i	$-0.602251\pi$
$881$	−18.7431			−0.631472			−0.315736	+	0.948847i	$0.602251\pi$
$882$	−20.2037	+	5.72800i	−0.680294	+	0.192872i
$883$	34.2038	+	24.8505i	1.15105	+	0.836286i	0.988620	−	0.150434i	$-0.0480671\pi$
$883$	34.2038	+	24.8505i	1.15105	+	0.836286i	0.162429	+	0.986720i	$0.448067\pi$
$884$	−24.9056	+	2.61769i	−0.837667	+	0.0880423i
$885$	−28.4763	−	24.7413i	−0.957220	−	0.831670i
$886$	−40.2839	+	8.56261i	−1.35336	+	0.287667i
$887$	−1.28956	−	12.2693i	−0.0432992	−	0.411964i	−0.994607	−	0.103720i	$-0.966925\pi$
$887$	−1.28956	−	12.2693i	−0.0432992	−	0.411964i	0.951307	−	0.308244i	$-0.0997413\pi$
$888$	12.0203	−	0.212881i	0.403375	−	0.00714381i
$889$	−2.27574	−	13.0398i	−0.0763259	−	0.437340i
$890$		−	1.59953i		−	0.0536163i
$891$	21.3757	−	20.8345i	0.716114	−	0.697984i
$892$	−12.6405	+	7.29802i	−0.423237	+	0.244356i
$893$	−0.564002	−	0.507830i	−0.0188736	−	0.0169939i
$894$	−28.4234	−	15.7459i	−0.950620	−	0.526621i
$895$	8.22749	+	11.3242i	0.275015	+	0.378525i
$896$	−2.19601	+	1.47564i	−0.0733636	+	0.0492978i
$897$	−59.7255	+	20.5822i	−1.99418	+	0.687218i
$898$	2.19836	+	20.9160i	0.0733602	+	0.697976i
$899$	−0.479683	+	4.56388i	−0.0159983	+	0.152214i
$900$	−13.6051	−	21.7480i	−0.453502	−	0.724932i
$901$	−28.6666	−	16.5507i	−0.955022	−	0.551382i
$902$	−20.2479	−	15.7019i	−0.674183	−	0.522817i
$903$	11.1862	−	18.5540i	0.372253	−	0.617440i
$904$	4.59420	+	14.1395i	0.152801	+	0.470272i
$905$	−32.4116	−	72.7976i	−1.07740	−	2.41987i
$906$	21.8387	−	5.04774i	0.725544	−	0.167700i
$907$	17.0470	−	3.62346i	0.566038	−	0.120315i	0.0840003	−	0.996466i	$-0.473230\pi$
$907$	17.0470	−	3.62346i	0.566038	−	0.120315i	0.482037	+	0.876151i	$0.339897\pi$
$908$	−10.3605	−	11.5065i	−0.343826	−	0.381857i
$909$	10.4331	+	28.6194i	0.346045	+	0.949246i
$910$	10.5856	−	42.1424i	0.350911	−	1.39701i
$911$	5.87838	−	1.91000i	0.194759	−	0.0632811i	−0.210013	−	0.977699i	$-0.567351\pi$
$911$	5.87838	−	1.91000i	0.194759	−	0.0632811i	0.404773	+	0.914417i	$0.367351\pi$
$912$	−0.498740	−	4.05336i	−0.0165149	−	0.134220i
$913$	20.0520	+	2.74428i	0.663625	+	0.0908225i
$914$	28.4569	−	16.4296i	0.941272	−	0.543443i
$915$	17.3084	−	8.07642i	0.572199	−	0.266998i
$916$	6.80117	−	9.36101i	0.224717	−	0.309296i
$917$	−0.453734	+	12.3724i	−0.0149836	+	0.408573i
$918$	−29.1260	+	1.54877i	−0.961301	+	0.0511170i
$919$	−1.49093	−	1.65585i	−0.0491812	−	0.0546213i	0.718052	−	0.695989i	$-0.245034\pi$
$919$	−1.49093	−	1.65585i	−0.0491812	−	0.0546213i	−0.767233	+	0.641368i	$0.778367\pi$
$920$	−27.4923	−	12.2404i	−0.906394	−	0.403553i
$921$	8.70572	+	14.4804i	0.286863	+	0.477145i
$922$	0.0298322	−	0.140350i	0.000982472	−	0.00462217i
$923$	−27.2858			−0.898124
$924$	10.7698	+	10.7243i	0.354301	+	0.352804i
$925$	−59.3523			−1.95149
$926$	−4.59442	+	21.6151i	−0.150982	+	0.710315i
$927$	−0.455408	+	1.12883i	−0.0149576	+	0.0370757i
$928$	1.79699	+	0.800073i	0.0589892	+	0.0262637i
$929$	13.2956	+	14.7662i	0.436214	+	0.484464i	0.920665	−	0.390354i	$-0.127647\pi$
$929$	13.2956	+	14.7662i	0.436214	+	0.484464i	−0.484451	+	0.874818i	$0.660981\pi$
$930$	14.0631	−	4.84632i	0.461147	−	0.158917i
$931$	16.2441	+	2.92294i	0.532380	+	0.0957954i
$932$	9.07280	−	12.4876i	0.297189	−	0.409046i
$933$	−19.2839	−	41.3270i	−0.631327	−	1.35298i
$934$	−17.0506	+	9.84415i	−0.557912	+	0.322110i
$935$	−29.8197	+	61.7043i	−0.975209	+	2.01795i
$936$	−9.30235	−	9.62305i	−0.304057	−	0.314539i
$937$	27.5570	−	8.95380i	0.900247	−	0.292508i	0.177908	−	0.984047i	$-0.443067\pi$
$937$	27.5570	−	8.95380i	0.900247	−	0.292508i	0.722339	+	0.691539i	$0.243067\pi$
$938$	−21.8104	+	22.5064i	−0.712135	+	0.734860i
$939$	12.4633	−	40.8029i	0.406725	−	1.33155i
$940$	−0.792839	−	0.880537i	−0.0258596	−	0.0287200i
$941$	−2.64599	+	0.562423i	−0.0862569	+	0.0183345i	−0.250838	−	0.968029i	$-0.580706\pi$
$941$	−2.64599	+	0.562423i	−0.0862569	+	0.0183345i	0.164581	+	0.986364i	$0.447373\pi$
$942$	−2.17173	−	9.39585i	−0.0707587	−	0.306133i
$943$	25.6886	+	57.6975i	0.836535	+	1.87889i
$944$	−1.82829	−	5.62688i	−0.0595056	−	0.183139i
$945$	14.8439	−	48.3817i	0.482872	−	1.57386i
$946$	−15.6725	−	0.490608i	−0.509556	−	0.0159510i
$947$	27.1959	+	15.7016i	0.883748	+	0.510232i	0.871892	−	0.489698i	$-0.162893\pi$
$947$	27.1959	+	15.7016i	0.883748	+	0.510232i	0.0118553	+	0.999930i	$0.496226\pi$
$948$	−8.16973	−	0.712660i	−0.265341	−	0.0231461i
$949$	−2.77963	+	26.4464i	−0.0902307	+	0.858488i
$950$	2.10750	+	20.0515i	0.0683763	+	0.650558i
$951$	6.71032	+	19.4721i	0.217597	+	0.631425i
$952$	−1.01004	−	14.8168i	−0.0327355	−	0.480215i
$953$	18.5907	+	25.5879i	0.602212	+	0.828874i	0.995909	−	0.0903667i	$-0.0288039\pi$
$953$	18.5907	+	25.5879i	0.602212	+	0.828874i	−0.393696	+	0.919240i	$0.628804\pi$
$954$	−2.47106	−	17.5177i	−0.0800034	−	0.567155i
$955$	−69.3185	−	62.4147i	−2.24310	−	2.01969i
$956$	−3.81109	+	2.20034i	−0.123260	+	0.0711640i
$957$	2.49931	−	11.0200i	0.0807913	−	0.356226i
$958$			13.8765i			0.448330i
$959$	−11.2728	−	13.4822i	−0.364017	−	0.435364i
$960$	−0.112901	−	6.37496i	−0.00364387	−	0.205751i
$961$	−2.67148	−	25.4174i	−0.0861766	−	0.819916i
$962$	−30.2899	+	6.43832i	−0.976586	+	0.207580i
$963$	14.7772	+	1.02575i	0.476187	+	0.0330543i
$964$	3.17085	−	0.333270i	0.102126	−	0.0107339i
$965$	74.6118	+	54.2086i	2.40184	+	1.74504i
$966$	−10.8996	−	35.8426i	−0.350690	−	1.15322i
$967$	31.8095			1.02292			0.511462	−	0.859306i	$-0.329104\pi$
$967$	31.8095			1.02292			0.511462	+	0.859306i	$0.329104\pi$
$968$	2.95552	−	10.5955i	0.0949942	−	0.340553i
$969$	21.1039	+	8.95174i	0.677956	+	0.287571i
$970$	31.3460	−	34.8132i	1.00646	−	1.11779i
$971$	19.5745	−	8.71513i	0.628176	−	0.279682i	−0.0678535	−	0.997695i	$-0.521615\pi$
$971$	19.5745	−	8.71513i	0.628176	−	0.279682i	0.696029	+	0.718013i	$0.254948\pi$
$972$	−10.2419	−	11.7517i	−0.328510	−	0.376936i
$973$	−31.4037	−	15.3847i	−1.00676	−	0.493211i
$974$	5.63116	+	1.82968i	0.180434	+	0.0586266i
$975$	45.0764	+	48.3138i	1.44360	+	1.54728i
$976$	2.97921	+	0.313128i	0.0953623	+	0.0100230i
$977$	−7.21318	−	6.49478i	−0.230770	−	0.207786i	0.545631	−	0.838026i	$-0.316290\pi$
$977$	−7.21318	−	6.49478i	−0.230770	−	0.207786i	−0.776401	+	0.630239i	$0.782957\pi$
$978$	−4.08620	−	33.2094i	−0.130662	−	1.06192i
$979$	−1.35599	−	0.488000i	−0.0433377	−	0.0155965i
$980$	24.7449	+	7.18931i	0.790447	+	0.229654i
$981$	−37.3524	+	1.32345i	−1.19257	+	0.0422544i
$982$	32.3446	−	14.4008i	1.03216	−	0.459547i
$983$	51.4935	+	22.9264i	1.64239	+	0.731237i	0.999400	−	0.0346401i	$-0.0110285\pi$
$983$	51.4935	+	22.9264i	1.64239	+	0.731237i	0.642986	+	0.765878i	$0.277695\pi$
$984$	−8.77621	+	10.1011i	−0.279775	+	0.322011i
$985$	22.4398	−	20.2049i	0.714992	−	0.643781i
$986$	−8.93277	+	6.49004i	−0.284477	+	0.206685i
$987$	0.181949	−	1.46376i	0.00579149	−	0.0465919i
$988$	3.25066	+	10.0045i	0.103417	+	0.318286i
$989$	33.4719	+	19.3250i	1.06434	+	0.614500i
$990$	−35.7950	+	7.76285i	−1.13764	+	0.246720i
$991$	−27.6620	−	47.9120i	−0.878712	−	1.52197i	−0.852755	−	0.522311i	$-0.825070\pi$
$991$	−27.6620	−	47.9120i	−0.878712	−	1.52197i	−0.0259571	−	0.999663i	$-0.508263\pi$
$992$	2.28196	+	0.485045i	0.0724522	+	0.0154002i
$993$	0.327595	+	18.4976i	0.0103959	+	0.587005i
$994$	0.593020	−	16.1705i	0.0188095	−	0.512897i
$995$	−38.6058	−	12.5438i	−1.22389	−	0.397665i
$996$	2.01410	−	10.3758i	0.0638191	−	0.328768i
$997$	−17.9424	+	40.2992i	−0.568241	+	1.27629i	0.369589	+	0.929195i	$0.379498\pi$
$997$	−17.9424	+	40.2992i	−0.568241	+	1.27629i	−0.937830	+	0.347095i	$0.887168\pi$
$998$	−6.04387	−	0.635236i	−0.191315	−	0.0201081i
$999$	−35.6182	+	5.66930i	−1.12691	+	0.179369i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.bf.a.5.19	yes	256
3.2	odd	2	inner	462.2.bf.a.5.5	✓	256
7.3	odd	6	inner	462.2.bf.a.269.19	yes	256
11.9	even	5	inner	462.2.bf.a.383.10	yes	256
21.17	even	6	inner	462.2.bf.a.269.10	yes	256
33.20	odd	10	inner	462.2.bf.a.383.19	yes	256
77.31	odd	30	inner	462.2.bf.a.185.5	yes	256
231.185	even	30	inner	462.2.bf.a.185.19	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.bf.a.5.5	✓	256	3.2	odd	2	inner
462.2.bf.a.5.19	yes	256	1.1	even	1	trivial
462.2.bf.a.185.5	yes	256	77.31	odd	30	inner
462.2.bf.a.185.19	yes	256	231.185	even	30	inner
462.2.bf.a.269.10	yes	256	21.17	even	6	inner
462.2.bf.a.269.19	yes	256	7.3	odd	6	inner
462.2.bf.a.383.10	yes	256	11.9	even	5	inner
462.2.bf.a.383.19	yes	256	33.20	odd	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.bf (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.207912 - 0.978148i) q^{2} +(-1.48443 + 0.892451i) q^{3} +(-0.913545 - 0.406737i) q^{4} +(-2.46318 - 2.73564i) q^{5} +(0.564318 + 1.63754i) q^{6} +(2.33823 - 1.23802i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.40706 - 2.64956i) q^{9} +O(q^{10})\)	\(q+(0.207912 - 0.978148i) q^{2} +(-1.48443 + 0.892451i) q^{3} +(-0.913545 - 0.406737i) q^{4} +(-2.46318 - 2.73564i) q^{5} +(0.564318 + 1.63754i) q^{6} +(2.33823 - 1.23802i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(1.40706 - 2.64956i) q^{9} +(-3.18798 + 1.84058i) q^{10} +(0.587723 + 3.26414i) q^{11} +(1.71909 - 0.211522i) q^{12} +(-4.24304 + 1.37865i) q^{13} +(-0.724816 - 2.54453i) q^{14} +(6.09784 + 1.86260i) q^{15} +(0.669131 + 0.743145i) q^{16} +(-5.49056 + 1.16705i) q^{17} +(-2.29912 - 1.92719i) q^{18} +(0.959028 + 2.15401i) q^{19} +(1.13754 + 3.50099i) q^{20} +(-2.36607 + 3.92450i) q^{21} +(3.31500 + 0.103772i) q^{22} +(-7.07989 - 4.08758i) q^{23} +(0.150518 - 1.72550i) q^{24} +(-0.893819 + 8.50412i) q^{25} +(0.466343 + 4.43696i) q^{26} +(0.275915 + 5.18882i) q^{27} +(-2.63963 + 0.179939i) q^{28} +(1.15621 + 1.59138i) q^{29} +(3.08971 - 5.57733i) q^{30} +(1.73371 + 1.56104i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-3.78551 - 4.32087i) q^{33} +5.61322i q^{34} +(-9.14624 - 3.34710i) q^{35} +(-2.36309 + 1.84819i) q^{36} +(0.725533 + 6.90299i) q^{37} +(2.30633 - 0.490227i) q^{38} +(5.06812 - 5.83321i) q^{39} +(3.66100 - 0.384786i) q^{40} +(-6.25012 - 4.54098i) q^{41} +(3.34681 + 3.13032i) q^{42} -4.72775 q^{43} +(0.790732 - 3.22098i) q^{44} +(-10.7141 + 2.67713i) q^{45} +(-5.47024 + 6.07532i) q^{46} +(-0.294049 + 0.130919i) q^{47} +(-1.65650 - 0.505980i) q^{48} +(3.93464 - 5.78953i) q^{49} +(8.13245 + 2.64239i) q^{50} +(7.10881 - 6.63246i) q^{51} +(4.43696 + 0.466343i) q^{52} +(4.38235 + 3.94588i) q^{53} +(5.13280 + 0.808932i) q^{54} +(7.48183 - 9.64795i) q^{55} +(-0.372802 + 2.61935i) q^{56} +(-3.34596 - 2.34159i) q^{57} +(1.79699 - 0.800073i) q^{58} +(-5.40495 - 2.40644i) q^{59} +(-4.81307 - 4.18178i) q^{60} +(2.22618 - 2.00446i) q^{61} +(1.88739 - 1.37127i) q^{62} +(0.00984261 - 7.93725i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(14.2229 + 8.21157i) q^{65} +(-5.01350 + 2.80443i) q^{66} +(-5.92281 - 10.2586i) q^{67} +(5.49056 + 1.16705i) q^{68} +(14.1576 - 0.250732i) q^{69} +(-5.17556 + 8.25047i) q^{70} +(5.81664 + 1.88994i) q^{71} +(1.31649 + 2.69571i) q^{72} +(2.42435 - 5.44517i) q^{73} +(6.90299 + 0.725533i) q^{74} +(-6.26270 - 13.4215i) q^{75} -2.35786i q^{76} +(5.41528 + 6.90469i) q^{77} +(-4.65202 - 6.17017i) q^{78} +(-4.63124 - 0.984401i) q^{79} +(0.384786 - 3.66100i) q^{80} +(-5.04034 - 7.45620i) q^{81} +(-5.74122 + 5.16942i) q^{82} +(1.88570 - 5.80360i) q^{83} +(3.75775 - 2.62284i) q^{84} +(16.7169 + 12.1455i) q^{85} +(-0.982954 + 4.62443i) q^{86} +(-3.13654 - 1.33044i) q^{87} +(-2.98620 - 1.44313i) q^{88} +(-0.217259 + 0.376303i) q^{89} +(0.391040 + 11.0366i) q^{90} +(-8.21442 + 8.47655i) q^{91} +(4.80523 + 6.61384i) q^{92} +(-3.96672 - 0.770003i) q^{93} +(0.0669219 + 0.314843i) q^{94} +(3.53034 - 7.92927i) q^{95} +(-0.839329 + 1.51510i) q^{96} +(-12.1030 + 3.93249i) q^{97} +(-4.84496 - 5.05237i) q^{98} +(9.47549 + 3.03564i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q - 32 q^{4} + 4 q^{7} - 12 q^{9}+O(q^{10}) \) 256 * q - 32 * q^4 + 4 * q^7 - 12 * q^9	\( 256 q - 32 q^{4} + 4 q^{7} - 12 q^{9} + 12 q^{10} + 24 q^{15} + 32 q^{16} - 8 q^{18} - 16 q^{21} - 12 q^{22} + 48 q^{25} + 6 q^{28} + 18 q^{31} - 132 q^{33} + 16 q^{36} + 4 q^{37} - 18 q^{40} - 4 q^{42} + 64 q^{43} - 48 q^{45} + 8 q^{46} + 76 q^{49} - 8 q^{51} - 88 q^{57} + 46 q^{58} - 8 q^{60} - 12 q^{63} + 64 q^{64} - 120 q^{66} - 32 q^{67} - 58 q^{70} - 12 q^{72} - 96 q^{73} - 204 q^{75} - 32 q^{78} - 4 q^{79} - 64 q^{81} + 24 q^{82} - 36 q^{84} + 232 q^{85} - 228 q^{87} - 6 q^{88} + 40 q^{91} - 2 q^{93} - 144 q^{94} + 160 q^{99}+O(q^{100}) \) 256 * q - 32 * q^4 + 4 * q^7 - 12 * q^9 + 12 * q^10 + 24 * q^15 + 32 * q^16 - 8 * q^18 - 16 * q^21 - 12 * q^22 + 48 * q^25 + 6 * q^28 + 18 * q^31 - 132 * q^33 + 16 * q^36 + 4 * q^37 - 18 * q^40 - 4 * q^42 + 64 * q^43 - 48 * q^45 + 8 * q^46 + 76 * q^49 - 8 * q^51 - 88 * q^57 + 46 * q^58 - 8 * q^60 - 12 * q^63 + 64 * q^64 - 120 * q^66 - 32 * q^67 - 58 * q^70 - 12 * q^72 - 96 * q^73 - 204 * q^75 - 32 * q^78 - 4 * q^79 - 64 * q^81 + 24 * q^82 - 36 * q^84 + 232 * q^85 - 228 * q^87 - 6 * q^88 + 40 * q^91 - 2 * q^93 - 144 * q^94 + 160 * q^99

Introduction

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