LMFDB - Embedded newform 462.2.bc.b.95.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(95,462)]

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, 20, 21]))

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

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

chi := DirichletCharacter("462.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.bc (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:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			95.7
Character	$\chi$	$=$	462.95
Dual form			462.2.bc.b.107.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.104528 + 0.994522i) q^{2} +(-0.790611 - 1.54108i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.625478 + 1.40485i) q^{5} +(1.61528 - 0.625193i) q^{6} +(-1.00131 - 2.44895i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.74987 + 2.43679i) q^{9} +O(q^{10})$	\(q+(-0.104528 + 0.994522i) q^{2} +(-0.790611 - 1.54108i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.625478 + 1.40485i) q^{5} +(1.61528 - 0.625193i) q^{6} +(-1.00131 - 2.44895i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.74987 + 2.43679i) q^{9} +(-1.33177 - 0.768898i) q^{10} +(2.04183 + 2.61361i) q^{11} +(0.452925 + 1.67178i) q^{12} +(-1.67851 + 2.31027i) q^{13} +(2.54020 - 0.739841i) q^{14} +(2.65949 - 0.146774i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.605966 + 5.76538i) q^{17} +(-2.24053 - 1.99500i) q^{18} +(0.632140 + 2.97398i) q^{19} +(0.903893 - 1.24410i) q^{20} +(-2.98239 + 3.47927i) q^{21} +(-2.81272 + 1.75745i) q^{22} +(3.21832 - 1.85810i) q^{23} +(-1.70997 + 0.275695i) q^{24} +(1.76328 + 1.95832i) q^{25} +(-2.12216 - 1.91080i) q^{26} +(5.13876 + 0.770136i) q^{27} +(0.470264 + 2.60362i) q^{28} +(-1.08920 - 3.35222i) q^{29} +(-0.132023 + 2.66027i) q^{30} +(-7.66019 + 3.41054i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(2.41349 - 5.21297i) q^{33} -5.79714 q^{34} +(4.06670 + 0.125078i) q^{35} +(2.21827 - 2.01973i) q^{36} +(-3.75561 + 4.17102i) q^{37} +(-3.02377 + 0.317811i) q^{38} +(4.88736 + 0.760196i) q^{39} +(1.14280 + 1.02899i) q^{40} +(-1.91521 + 5.89442i) q^{41} +(-3.14847 - 3.32974i) q^{42} -2.46157i q^{43} +(-1.45381 - 2.98101i) q^{44} +(-2.32882 - 3.98246i) q^{45} +(1.51151 + 3.39491i) q^{46} +(1.82650 + 8.59302i) q^{47} +(-0.0954445 - 1.72942i) q^{48} +(-4.99475 + 4.90433i) q^{49} +(-2.13191 + 1.54892i) q^{50} +(8.40584 - 5.49201i) q^{51} +(2.12216 - 1.91080i) q^{52} +(-0.878311 - 1.97272i) q^{53} +(-1.30306 + 5.03011i) q^{54} +(-4.94883 + 1.23370i) q^{55} +(-2.63852 + 0.195535i) q^{56} +(4.08338 - 3.32544i) q^{57} +(3.44771 - 0.732833i) q^{58} +(-0.736835 + 3.46653i) q^{59} +(-2.63189 - 0.409373i) q^{60} +(3.12114 - 7.01020i) q^{61} +(-2.59115 - 7.97472i) q^{62} +(7.71976 + 1.84536i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-2.19570 - 3.80307i) q^{65} +(4.93214 + 2.94517i) q^{66} +(5.97388 - 10.3471i) q^{67} +(0.605966 - 5.76538i) q^{68} +(-5.40792 - 3.49066i) q^{69} +(-0.549479 + 4.03135i) q^{70} +(2.97099 + 4.08922i) q^{71} +(1.77679 + 2.41723i) q^{72} +(1.41941 - 6.67780i) q^{73} +(-3.75561 - 4.17102i) q^{74} +(1.62387 - 4.26564i) q^{75} -3.04042i q^{76} +(4.35609 - 7.61738i) q^{77} +(-1.26690 + 4.78113i) q^{78} +(-4.09443 - 0.430342i) q^{79} +(-1.14280 + 1.02899i) q^{80} +(-2.87592 - 8.52813i) q^{81} +(-5.66194 - 2.52086i) q^{82} +(0.684321 - 0.497188i) q^{83} +(3.64060 - 2.78317i) q^{84} +(-8.47849 - 2.75483i) q^{85} +(2.44808 + 0.257304i) q^{86} +(-4.30491 + 4.32885i) q^{87} +(3.11665 - 1.13425i) q^{88} +(-8.42825 + 4.86605i) q^{89} +(4.20407 - 1.89978i) q^{90} +(7.33845 + 1.79729i) q^{91} +(-3.53431 + 1.14837i) q^{92} +(11.3121 + 9.10857i) q^{93} +(-8.73687 + 0.918282i) q^{94} +(-4.57338 - 0.972101i) q^{95} +(1.72992 + 0.0858519i) q^{96} +(-9.62720 - 6.99457i) q^{97} +(-4.35537 - 5.48003i) q^{98} +(-9.94175 + 0.402050i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	$ 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) $ 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{7}{10}\right)$

Coefficient data

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

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

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

$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$2$	−0.104528	+	0.994522i	−0.0739128	+	0.703233i
$3$	−0.790611	−	1.54108i	−0.456459	−	0.889744i
$3$	−0.790611	−	1.54108i	−0.456459	−	0.889744i
$4$	−0.978148	−	0.207912i	−0.489074	−	0.103956i
$5$	−0.625478	+	1.40485i	−0.279722	+	0.628266i	−0.997699	−	0.0678009i	$-0.978402\pi$
$5$	−0.625478	+	1.40485i	−0.279722	+	0.628266i	0.717977	+	0.696067i	$0.245068\pi$
$6$	1.61528	−	0.625193i	0.659436	−	0.255234i
$7$	−1.00131	−	2.44895i	−0.378460	−	0.925618i
$7$	−1.00131	−	2.44895i	−0.378460	−	0.925618i
$8$	0.309017	−	0.951057i	0.109254	−	0.336249i
$9$	−1.74987	+	2.43679i	−0.583289	+	0.812264i
$10$	−1.33177	−	0.768898i	−0.421143	−	0.243147i
$11$	2.04183	+	2.61361i	0.615635	+	0.788032i
$11$	2.04183	+	2.61361i	0.615635	+	0.788032i
$12$	0.452925	+	1.67178i	0.130748	+	0.482602i
$13$	−1.67851	+	2.31027i	−0.465535	+	0.640753i	−0.975645	−	0.219356i	$-0.929605\pi$
$13$	−1.67851	+	2.31027i	−0.465535	+	0.640753i	0.510110	+	0.860109i	$0.329605\pi$
$14$	2.54020	−	0.739841i	0.678898	−	0.197731i
$15$	2.65949	−	0.146774i	0.686678	−	0.0378969i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	0.605966	+	5.76538i	0.146968	+	1.39831i	0.780772	+	0.624816i	$0.214826\pi$
$17$	0.605966	+	5.76538i	0.146968	+	1.39831i	−0.633804	+	0.773494i	$0.718507\pi$
$18$	−2.24053	−	1.99500i	−0.528099	−	0.470225i
$19$	0.632140	+	2.97398i	0.145023	+	0.682278i	0.989243	+	0.146282i	$0.0467307\pi$
$19$	0.632140	+	2.97398i	0.145023	+	0.682278i	−0.844220	+	0.535997i	$0.819936\pi$
$20$	0.903893	−	1.24410i	0.202117	−	0.278190i
$21$	−2.98239	+	3.47927i	−0.650811	+	0.759240i
$22$	−2.81272	+	1.75745i	−0.599673	+	0.374689i
$23$	3.21832	−	1.85810i	0.671066	−	0.387440i	−0.125415	−	0.992104i	$-0.540026\pi$
$23$	3.21832	−	1.85810i	0.671066	−	0.387440i	0.796480	+	0.604664i	$0.206693\pi$
$24$	−1.70997	+	0.275695i	−0.349046	+	0.0562760i
$25$	1.76328	+	1.95832i	0.352657	+	0.391665i
$26$	−2.12216	−	1.91080i	−0.416190	−	0.374739i
$27$	5.13876	+	0.770136i	0.988956	+	0.148213i
$28$	0.470264	+	2.60362i	0.0888716	+	0.492038i
$29$	−1.08920	−	3.35222i	−0.202260	−	0.622492i	−0.999815	−	0.0192455i	$-0.993874\pi$
$29$	−1.08920	−	3.35222i	−0.202260	−	0.622492i	0.797555	−	0.603246i	$-0.206126\pi$
$30$	−0.132023	+	2.66027i	−0.0241039	+	0.485696i
$31$	−7.66019	+	3.41054i	−1.37581	+	0.612550i	−0.955544	−	0.294850i	$-0.904730\pi$
$31$	−7.66019	+	3.41054i	−1.37581	+	0.612550i	−0.420267	+	0.907400i	$0.638064\pi$
$32$	−0.500000	+	0.866025i	−0.0883883	+	0.153093i
$33$	2.41349	−	5.21297i	0.420134	−	0.907462i
$34$	−5.79714			−0.994201
$35$	4.06670	+	0.125078i	0.687398	+	0.0211420i
$36$	2.21827	−	2.01973i	0.369711	−	0.336621i
$37$	−3.75561	+	4.17102i	−0.617418	+	0.685712i	−0.968037	−	0.250806i	$-0.919304\pi$
$37$	−3.75561	+	4.17102i	−0.617418	+	0.685712i	0.350619	+	0.936518i	$0.385971\pi$
$38$	−3.02377	+	0.317811i	−0.490520	+	0.0515557i
$39$	4.88736	+	0.760196i	0.782604	+	0.121729i
$40$	1.14280	+	1.02899i	0.180693	+	0.162697i
$41$	−1.91521	+	5.89442i	−0.299106	+	0.920555i	0.682705	+	0.730694i	$0.260803\pi$
$41$	−1.91521	+	5.89442i	−0.299106	+	0.920555i	−0.981811	+	0.189860i	$0.939197\pi$
$42$	−3.14847	−	3.32974i	−0.485819	−	0.513790i
$43$		−	2.46157i		−	0.375386i	−0.982228	−	0.187693i	$-0.939899\pi$
$43$		−	2.46157i		−	0.375386i	0.982228	−	0.187693i	$-0.0601010\pi$
$44$	−1.45381	−	2.98101i	−0.219170	−	0.449404i
$45$	−2.32882	−	3.98246i	−0.347159	−	0.593669i
$46$	1.51151	+	3.39491i	0.222860	+	0.500552i
$47$	1.82650	+	8.59302i	0.266423	+	1.25342i	0.884215	+	0.467080i	$0.154694\pi$
$47$	1.82650	+	8.59302i	0.266423	+	1.25342i	−0.617792	+	0.786341i	$0.711973\pi$
$48$	−0.0954445	−	1.72942i	−0.0137762	−	0.249620i
$49$	−4.99475	+	4.90433i	−0.713536	+	0.700619i
$50$	−2.13191	+	1.54892i	−0.301498	+	0.219051i
$51$	8.40584	−	5.49201i	1.17705	−	0.769036i
$52$	2.12216	−	1.91080i	0.294291	−	0.264981i
$53$	−0.878311	−	1.97272i	−0.120645	−	0.270974i	0.843120	−	0.537725i	$-0.180716\pi$
$53$	−0.878311	−	1.97272i	−0.120645	−	0.270974i	−0.963765	+	0.266752i	$0.914050\pi$
$54$	−1.30306	+	5.03011i	−0.177325	+	0.684512i
$55$	−4.94883	+	1.23370i	−0.667300	+	0.166353i
$56$	−2.63852	+	0.195535i	−0.352587	+	0.0261295i
$57$	4.08338	−	3.32544i	0.540856	−	0.440466i
$58$	3.44771	−	0.732833i	0.452706	−	0.0962257i
$59$	−0.736835	+	3.46653i	−0.0959277	+	0.451304i	0.903800	+	0.427956i	$0.140766\pi$
$59$	−0.736835	+	3.46653i	−0.0959277	+	0.451304i	−0.999727	+	0.0233486i	$0.992567\pi$
$60$	−2.63189	−	0.409373i	−0.339776	−	0.0528498i
$61$	3.12114	−	7.01020i	0.399622	−	0.897565i	−0.595903	−	0.803057i	$-0.703206\pi$
$61$	3.12114	−	7.01020i	0.399622	−	0.897565i	0.995524	−	0.0945080i	$-0.0301278\pi$
$62$	−2.59115	−	7.97472i	−0.329076	−	1.01279i
$63$	7.71976	+	1.84536i	0.972598	+	0.232493i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	−2.19570	−	3.80307i	−0.272343	−	0.471712i
$66$	4.93214	+	2.94517i	0.607104	+	0.362525i
$67$	5.97388	−	10.3471i	0.729826	−	1.26410i	−0.227131	−	0.973864i	$-0.572935\pi$
$67$	5.97388	−	10.3471i	0.729826	−	1.26410i	0.956957	−	0.290231i	$-0.0937321\pi$
$68$	0.605966	−	5.76538i	0.0734841	−	0.699155i
$69$	−5.40792	−	3.49066i	−0.651037	−	0.420226i
$70$	−0.549479	+	4.03135i	−0.0656753	+	0.481838i
$71$	2.97099	+	4.08922i	0.352592	+	0.485301i	0.948066	−	0.318073i	$-0.103036\pi$
$71$	2.97099	+	4.08922i	0.352592	+	0.485301i	−0.595474	+	0.803374i	$0.703036\pi$
$72$	1.77679	+	2.41723i	0.209397	+	0.284874i
$73$	1.41941	−	6.67780i	0.166129	−	0.781577i	−0.813628	−	0.581386i	$-0.802510\pi$
$73$	1.41941	−	6.67780i	0.166129	−	0.781577i	0.979757	−	0.200191i	$-0.0641562\pi$
$74$	−3.75561	−	4.17102i	−0.436580	−	0.484872i
$75$	1.62387	−	4.26564i	0.187508	−	0.492553i
$76$		−	3.04042i		−	0.348760i
$77$	4.35609	−	7.61738i	0.496423	−	0.868081i
$78$	−1.26690	+	4.78113i	−0.143448	+	0.541356i
$79$	−4.09443	−	0.430342i	−0.460660	−	0.0484173i	−0.128643	−	0.991691i	$-0.541062\pi$
$79$	−4.09443	−	0.430342i	−0.460660	−	0.0484173i	−0.332016	+	0.943274i	$0.607729\pi$
$80$	−1.14280	+	1.02899i	−0.127769	+	0.115044i
$81$	−2.87592	−	8.52813i	−0.319547	−	0.947571i
$82$	−5.66194	−	2.52086i	−0.625257	−	0.278382i
$83$	0.684321	−	0.497188i	0.0751140	−	0.0545735i	−0.549595	−	0.835432i	$-0.685218\pi$
$83$	0.684321	−	0.497188i	0.0751140	−	0.0545735i	0.624709	+	0.780858i	$0.285218\pi$
$84$	3.64060	−	2.78317i	0.397222	−	0.303669i
$85$	−8.47849	−	2.75483i	−0.919621	−	0.298803i
$86$	2.44808	+	0.257304i	0.263984	+	0.0277458i
$87$	−4.30491	+	4.32885i	−0.461535	+	0.464102i
$88$	3.11665	−	1.13425i	0.332236	−	0.120911i
$89$	−8.42825	+	4.86605i	−0.893393	+	0.515800i	−0.875051	−	0.484031i	$-0.839172\pi$
$89$	−8.42825	+	4.86605i	−0.893393	+	0.515800i	−0.0183419	+	0.999832i	$0.505839\pi$
$90$	4.20407	−	1.89978i	0.443148	−	0.200254i
$91$	7.33845	+	1.79729i	0.769279	+	0.188407i
$92$	−3.53431	+	1.14837i	−0.368477	+	0.119726i
$93$	11.3121	+	9.10857i	1.17302	+	0.944515i
$94$	−8.73687	+	0.918282i	−0.901140	+	0.0947136i
$95$	−4.57338	−	0.972101i	−0.469219	−	0.0997355i
$96$	1.72992	+	0.0858519i	0.176559	+	0.00876222i
$97$	−9.62720	−	6.99457i	−0.977494	−	0.710191i	−0.0203472	−	0.999793i	$-0.506477\pi$
$97$	−9.62720	−	6.99457i	−0.977494	−	0.710191i	−0.957147	+	0.289602i	$0.906477\pi$
$98$	−4.35537	−	5.48003i	−0.439959	−	0.553567i
$99$	−9.94175	+	0.402050i	−0.999183	+	0.0404076i
$100$	−1.31759	−	2.28214i	−0.131759	−	0.228214i
$101$	0.550878	−	0.245267i	0.0548144	−	0.0244049i	−0.379146	−	0.925337i	$-0.623782\pi$
$101$	0.550878	−	0.245267i	0.0548144	−	0.0244049i	0.433961	+	0.900932i	$0.357116\pi$
$102$	4.58328	+	8.93386i	0.453812	+	0.884584i
$103$	13.3497	−	14.8263i	1.31538	−	1.46088i	0.520858	−	0.853643i	$-0.325612\pi$
$103$	13.3497	−	14.8263i	1.31538	−	1.46088i	0.794523	−	0.607234i	$-0.207721\pi$
$104$	1.67851	+	2.31027i	0.164591	+	0.226540i
$105$	−3.02242	−	6.36601i	−0.294958	−	0.621259i
$106$	2.05372	−	0.667294i	0.199475	−	0.0648133i
$107$	−9.38657	+	1.99518i	−0.907434	+	0.192881i	−0.637909	−	0.770112i	$-0.720200\pi$
$107$	−9.38657	+	1.99518i	−0.907434	+	0.192881i	−0.269526	+	0.962993i	$0.586867\pi$
$108$	−4.86635	−	1.82172i	−0.468265	−	0.175295i
$109$	2.60120	+	1.50180i	0.249150	+	0.143847i	0.619375	−	0.785095i	$-0.287386\pi$
$109$	2.60120	+	1.50180i	0.249150	+	0.143847i	−0.370225	+	0.928942i	$0.620719\pi$
$110$	−0.709652	−	5.05068i	−0.0676627	−	0.481563i
$111$	9.39711	+	2.49004i	0.891935	+	0.236344i
$112$	0.0813359	−	2.64450i	0.00768552	−	0.249882i
$113$	16.3395	+	5.30902i	1.53709	+	0.499431i	0.950571	−	0.310506i	$-0.100498\pi$
$113$	16.3395	+	5.30902i	1.53709	+	0.499431i	0.586518	+	0.809936i	$0.300498\pi$
$114$	2.88040	+	4.40861i	0.269774	+	0.412904i
$115$	0.597353	+	5.68344i	0.0557035	+	0.529983i
$116$	0.368435	+	3.50542i	0.0342083	+	0.325471i
$117$	−2.69248	−	8.13284i	−0.248920	−	0.751882i
$118$	−3.37052	−	1.09515i	−0.310282	−	0.100817i
$119$	13.5124	−	7.25692i	1.23868	−	0.665241i
$120$	0.682238	−	2.57468i	0.0622795	−	0.235035i
$121$	−2.66186	+	10.6731i	−0.241988	+	0.970279i
$122$	6.64555	+	3.83681i	0.601660	+	0.347369i
$123$	10.5980	−	1.70869i	0.955588	−	0.154068i
$124$	8.20189	−	1.74336i	0.736551	−	0.156559i
$125$	−11.1667	+	3.62828i	−0.998779	+	0.324523i
$126$	−2.64218	+	7.48457i	−0.235384	+	0.666779i
$127$	1.02656	+	1.41294i	0.0910925	+	0.125378i	0.852131	−	0.523329i	$-0.175310\pi$
$127$	1.02656	+	1.41294i	0.0910925	+	0.125378i	−0.761038	+	0.648707i	$0.775310\pi$
$128$	0.669131	−	0.743145i	0.0591433	−	0.0656853i
$129$	−3.79348	+	1.94614i	−0.333997	+	0.171348i
$130$	4.01175	−	1.78614i	0.351854	−	0.156655i
$131$	3.07127	+	5.31960i	0.268338	+	0.464776i	0.968433	−	0.249274i	$-0.0801921\pi$
$131$	3.07127	+	5.31960i	0.268338	+	0.464776i	−0.700094	+	0.714050i	$0.746859\pi$
$132$	−3.44458	+	4.59726i	−0.299813	+	0.400140i
$133$	6.65018	−	4.52596i	0.576644	−	0.392451i
$134$	9.66594	+	7.02272i	0.835010	+	0.606670i
$135$	−4.29610	+	6.73747i	−0.369750	+	0.579869i
$136$	5.67045	+	1.20529i	0.486237	+	0.103353i
$137$	22.9208	−	2.40907i	1.95825	−	0.205821i	0.960807	−	0.277220i	$-0.0894130\pi$
$137$	22.9208	−	2.40907i	1.95825	−	0.205821i	0.997448	+	0.0713990i	$0.0227463\pi$
$138$	4.03682	−	5.01342i	0.343637	−	0.426771i
$139$	−20.1869	+	6.55912i	−1.71223	+	0.556337i	−0.990702	−	0.136048i	$-0.956560\pi$
$139$	−20.1869	+	6.55912i	−1.71223	+	0.556337i	−0.721528	+	0.692385i	$0.756560\pi$
$140$	−3.95183	−	0.967859i	−0.333990	−	0.0817991i
$141$	11.7985	−	9.60853i	0.993613	−	0.809184i
$142$	−4.37737	+	2.52728i	−0.367341	+	0.212084i
$143$	−9.46536	+	0.330216i	−0.791533	+	0.0276141i
$144$	−2.58972	+	1.51439i	−0.215810	+	0.126199i
$145$	5.39063	+	0.566578i	0.447667	+	0.0470517i
$146$	6.49285	+	2.10965i	0.537352	+	0.174596i
$147$	11.5069	+	3.81990i	0.949072	+	0.315060i
$148$	4.54074	−	3.29904i	0.373247	−	0.271180i
$149$	−10.9261	−	4.86460i	−0.895099	−	0.398524i	−0.0929661	−	0.995669i	$-0.529635\pi$
$149$	−10.9261	−	4.86460i	−0.895099	−	0.398524i	−0.802133	+	0.597145i	$0.796301\pi$
$150$	4.07253	+	2.06085i	0.332521	+	0.168268i
$151$	8.08810	−	7.28256i	0.658201	−	0.592646i	−0.270840	−	0.962624i	$-0.587301\pi$
$151$	8.08810	−	7.28256i	0.658201	−	0.592646i	0.929041	+	0.369978i	$0.120635\pi$
$152$	3.02377	+	0.317811i	0.245260	+	0.0257779i
$153$	−15.1094	−	8.61204i	−1.22152	−	0.696242i
$154$	7.12031	+	5.12846i	0.573771	+	0.413263i
$155$		−	12.8946i		−	1.03572i
$156$	−4.62251	−	1.75972i	−0.370097	−	0.140891i
$157$	2.01310	+	2.23577i	0.160663	+	0.178434i	0.818101	−	0.575074i	$-0.195027\pi$
$157$	2.01310	+	2.23577i	0.160663	+	0.178434i	−0.657439	+	0.753508i	$0.728360\pi$
$158$	0.855969	−	4.02702i	0.0680973	−	0.320372i
$159$	−2.34572	+	2.91320i	−0.186028	+	0.231032i
$160$	−0.903893	−	1.24410i	−0.0714590	−	0.0983549i
$161$	−7.77293	−	6.02098i	−0.612593	−	0.474520i
$162$	8.78203	−	1.96873i	0.689982	−	0.154678i
$163$	−2.34022	+	22.2657i	−0.183300	+	1.74399i	0.386578	+	0.922257i	$0.373657\pi$
$163$	−2.34022	+	22.2657i	−0.183300	+	1.74399i	−0.569878	+	0.821729i	$0.693010\pi$
$164$	3.09888	−	5.36742i	0.241982	−	0.419125i
$165$	5.81384	+	6.65118i	0.452607	+	0.517793i
$166$	0.422934	+	0.732542i	0.0328260	+	0.0568563i
$167$	5.77320	+	4.19447i	0.446743	+	0.324578i	0.788309	−	0.615280i	$-0.210957\pi$
$167$	5.77320	+	4.19447i	0.446743	+	0.324578i	−0.341565	+	0.939858i	$0.610957\pi$
$168$	2.38738	+	3.91158i	0.184190	+	0.301785i
$169$	1.49727	+	4.60812i	0.115175	+	0.354471i
$170$	3.62598	−	8.14408i	0.278100	−	0.624623i
$171$	−8.35314	−	3.66369i	−0.638781	−	0.280169i
$172$	−0.511789	+	2.40778i	−0.0390235	+	0.183591i
$173$	−12.1730	+	2.58745i	−0.925494	+	0.196720i	−0.645921	−	0.763404i	$-0.723526\pi$
$173$	−12.1730	+	2.58745i	−0.925494	+	0.196720i	−0.279573	+	0.960124i	$0.590193\pi$
$174$	−3.85515	−	4.73382i	−0.292258	−	0.358870i
$175$	3.03025	−	6.27909i	0.229065	−	0.474655i
$176$	0.802255	+	3.21813i	0.0604722	+	0.242576i
$177$	5.92476	−	1.60516i	0.445333	−	0.120651i
$178$	−3.95840	−	8.89072i	−0.296695	−	0.666388i
$179$	−6.74311	+	6.07153i	−0.504004	+	0.453807i	−0.881486	−	0.472210i	$-0.843457\pi$
$179$	−6.74311	+	6.07153i	−0.504004	+	0.453807i	0.377482	+	0.926017i	$0.376790\pi$
$180$	1.44993	+	4.37962i	0.108071	+	0.326437i
$181$	5.75748	−	4.18305i	0.427950	−	0.310924i	−0.352879	−	0.935669i	$-0.614797\pi$
$181$	5.75748	−	4.18305i	0.427950	−	0.310924i	0.780829	+	0.624745i	$0.214797\pi$
$182$	−2.55452	+	7.11038i	−0.189354	+	0.527057i
$183$	−13.2709	+	0.732405i	−0.981014	+	0.0541410i
$184$	−0.772640	−	3.63499i	−0.0569598	−	0.267975i
$185$	−3.51060	−	7.88493i	−0.258104	−	0.579712i
$186$	−10.2411	+	10.2981i	−0.750915	+	0.755091i
$187$	−13.8311	+	13.3557i	−1.01143	+	0.976664i
$188$		−	8.78500i		−	0.640712i
$189$	−3.25948	−	13.3557i	−0.237092	−	0.971487i
$190$	1.44482	−	4.44671i	0.104819	−	0.322598i
$191$	5.81307	+	5.23412i	0.420619	+	0.378727i	0.852086	−	0.523401i	$-0.175337\pi$
$191$	5.81307	+	5.23412i	0.420619	+	0.378727i	−0.431467	+	0.902129i	$0.642004\pi$
$192$	−0.266208	+	1.71147i	−0.0192119	+	0.123515i
$193$	5.05645	−	0.531454i	0.363971	−	0.0382549i	0.0792219	−	0.996857i	$-0.474756\pi$
$193$	5.05645	−	0.531454i	0.363971	−	0.0382549i	0.284749	+	0.958602i	$0.408090\pi$
$194$	7.96257	−	8.84333i	0.571679	−	0.634914i
$195$	−4.12489	+	6.39050i	−0.295390	+	0.457634i
$196$	5.90527	−	3.75869i	0.421805	−	0.268478i
$197$	−25.9981			−1.85229			−0.926146	−	0.377166i	$-0.876899\pi$
$197$	−25.9981			−1.85229			−0.926146	+	0.377166i	$0.876899\pi$
$198$	0.639348	−	9.92931i	0.0454365	−	0.705645i
$199$	−9.18570	+	15.9101i	−0.651157	+	1.12784i	0.331686	+	0.943390i	$0.392383\pi$
$199$	−9.18570	+	15.9101i	−0.651157	+	1.12784i	−0.982843	+	0.184447i	$0.940951\pi$
$200$	2.40736	−	1.07183i	0.170226	−	0.0757896i
$201$	−20.6687	−	1.02574i	−1.45786	−	0.0723499i
$202$	0.186341	+	0.573497i	0.0131109	+	0.0403511i
$203$	−7.11880	+	6.02402i	−0.499642	+	0.422804i
$204$	−9.36401	+	3.62433i	−0.655612	+	0.253754i
$205$	−7.08283	−	6.37741i	−0.494687	−	0.445418i
$206$	13.3497	+	14.8263i	0.930114	+	1.03300i
$207$	−1.10384	+	11.0938i	−0.0767219	+	0.771072i
$208$	−2.47306	+	1.42782i	−0.171476	+	0.0990018i
$209$	−6.48210	+	7.72453i	−0.448376	+	0.534317i
$210$	6.64706	−	2.34044i	0.458691	−	0.161505i
$211$	7.87519	−	10.8393i	0.542151	−	0.746206i	−0.446770	−	0.894649i	$-0.647426\pi$
$211$	7.87519	−	10.8393i	0.542151	−	0.746206i	0.988921	+	0.148442i	$0.0474259\pi$
$212$	0.448966	+	2.11222i	0.0308351	+	0.145068i
$213$	3.95292	−	7.81153i	0.270850	−	0.535237i
$214$	−1.00308	−	9.54371i	−0.0685694	−	0.652394i
$215$	3.45812	+	1.53966i	0.235842	+	0.105004i
$216$	2.32041	−	4.64927i	0.157884	−	0.316343i
$217$	16.0225	+	15.3444i	1.08768	+	1.04165i
$218$	−1.76547	+	2.42997i	−0.119573	+	0.164578i
$219$	−11.4132	+	3.09211i	−0.771235	+	0.208946i
$220$	5.09719	−	0.177825i	0.343652	−	0.0119889i
$221$	−14.3367	−	8.27729i	−0.964390	−	0.556791i
$222$	−3.45867	+	9.08536i	−0.232130	+	0.609769i
$223$	2.64203	−	8.13135i	0.176924	−	0.544515i	−0.822792	−	0.568342i	$-0.807585\pi$
$223$	2.64203	−	8.13135i	0.176924	−	0.544515i	0.999716	+	0.0238268i	$0.00758503\pi$
$224$	2.62151	+	0.357316i	0.175157	+	0.0238742i
$225$	−7.85755	+	0.869946i	−0.523836	+	0.0579964i
$226$	−6.98788	+	15.6950i	−0.464827	+	1.04402i
$227$	−10.8932	−	2.31542i	−0.723007	−	0.153680i	−0.168312	−	0.985734i	$-0.553832\pi$
$227$	−10.8932	−	2.31542i	−0.723007	−	0.153680i	−0.554695	+	0.832054i	$0.687165\pi$
$228$	−4.68554	+	2.40379i	−0.310308	+	0.159195i
$229$	−0.445552	+	4.23915i	−0.0294429	+	0.280131i	0.969888	+	0.243552i	$0.0783126\pi$
$229$	−0.445552	+	4.23915i	−0.0294429	+	0.280131i	−0.999331	+	0.0365788i	$0.988354\pi$
$230$	−5.71474			−0.376819
$231$	−15.1830	−	0.690712i	−0.998967	−	0.0454455i
$232$	−3.52473			−0.231410
$233$	−2.91797	+	27.7626i	−0.191162	+	1.81879i	0.307005	+	0.951708i	$0.400673\pi$
$233$	−2.91797	+	27.7626i	−0.191162	+	1.81879i	−0.498167	+	0.867081i	$0.665993\pi$
$234$	8.36973	−	1.82761i	0.547147	−	0.119475i
$235$	−13.2143	−	2.80879i	−0.862007	−	0.183225i
$236$	1.44147	−	3.23759i	0.0938314	−	0.210749i
$237$	2.57391	+	6.65009i	0.167193	+	0.431970i
$238$	5.80474	+	14.1969i	0.376265	+	0.920250i
$239$	6.97039	−	21.4526i	0.450877	−	1.38766i	−0.425031	−	0.905179i	$-0.639737\pi$
$239$	6.97039	−	21.4526i	0.450877	−	1.38766i	0.875908	−	0.482478i	$-0.160263\pi$
$240$	2.48927	+	0.947628i	0.160681	+	0.0611691i
$241$	−10.2188	−	5.89982i	−0.658250	−	0.380041i	0.133360	−	0.991068i	$-0.457423\pi$
$241$	−10.2188	−	5.89982i	−0.658250	−	0.380041i	−0.791610	+	0.611027i	$0.790757\pi$
$242$	−10.3364	−	3.76292i	−0.664447	−	0.241890i
$243$	−10.8688	+	11.1745i	−0.697235	+	0.716842i
$244$	−4.51044	+	6.20809i	−0.288752	+	0.397432i
$245$	−3.76572	−	10.0844i	−0.240583	−	0.644269i
$246$	0.591543	+	10.7185i	0.0377154	+	0.683389i
$247$	−7.93175	−	3.53144i	−0.504685	−	0.224700i
$248$	0.876484	+	8.33919i	0.0556568	+	0.529539i
$249$	−1.30724	−	0.661512i	−0.0828429	−	0.0419216i
$250$	−2.44116	−	11.4848i	−0.154393	−	0.726361i
$251$	15.9115	−	21.9003i	1.00433	−	1.38234i	0.0816933	−	0.996658i	$-0.473967\pi$
$251$	15.9115	−	21.9003i	1.00433	−	1.38234i	0.922633	−	0.385679i	$-0.126033\pi$
$252$	−7.16739	−	3.41006i	−0.451503	−	0.214814i
$253$	11.4276	+	4.61750i	0.718446	+	0.290299i
$254$	−1.51250	+	0.873245i	−0.0949029	+	0.0547922i
$255$	2.45777	+	15.2440i	0.153912	+	0.954619i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	2.62786	+	2.36614i	0.163922	+	0.147596i	0.747009	−	0.664813i	$-0.231489\pi$
$257$	2.62786	+	2.36614i	0.163922	+	0.147596i	−0.583088	+	0.812409i	$0.698156\pi$
$258$	−1.53896	−	3.97613i	−0.0958112	−	0.247543i
$259$	13.9752	+	5.02081i	0.868375	+	0.311978i
$260$	1.35702	+	4.17647i	0.0841587	+	0.259014i
$261$	10.0746	+	3.21178i	0.623604	+	0.198804i
$262$	−5.61150	+	2.49840i	−0.346679	+	0.154352i
$263$	7.29140	−	12.6291i	0.449607	−	0.778742i	−0.548753	−	0.835984i	$-0.684897\pi$
$263$	7.29140	−	12.6291i	0.449607	−	0.778742i	0.998360	+	0.0572421i	$0.0182307\pi$
$264$	−4.21202	−	3.90626i	−0.259232	−	0.240414i
$265$	3.32073			0.203991
$266$	3.80604	+	7.08684i	0.233363	+	0.434522i
$267$	14.1625	+	9.14147i	0.866728	+	0.559449i
$268$	−7.99461	+	8.87892i	−0.488349	+	0.542366i
$269$	32.0505	−	3.36864i	1.95415	−	0.205390i	0.957585	−	0.288152i	$-0.0930408\pi$
$269$	32.0505	−	3.36864i	1.95415	−	0.205390i	0.996569	+	0.0827620i	$0.0263741\pi$
$270$	−6.25149	−	4.97683i	−0.380454	−	0.302880i
$271$	11.9967	+	10.8018i	0.728745	+	0.656165i	0.947551	−	0.319603i	$-0.103550\pi$
$271$	11.9967	+	10.8018i	0.728745	+	0.656165i	−0.218806	+	0.975768i	$0.570216\pi$
$272$	−1.79141	+	5.51340i	−0.108620	+	0.334299i
$273$	−3.03209	−	12.7301i	−0.183510	−	0.770462i
$274$			23.0470i			1.39232i
$275$	−1.51796	+	8.60709i	−0.0915366	+	0.519027i
$276$	4.56399	+	4.53875i	0.274720	+	0.273201i
$277$	−3.47917	−	7.81433i	−0.209043	−	0.469518i	0.778345	−	0.627836i	$-0.216059\pi$
$277$	−3.47917	−	7.81433i	−0.209043	−	0.469518i	−0.987388	+	0.158319i	$0.949393\pi$
$278$	−4.41308	−	20.7619i	−0.264679	−	1.24522i
$279$	5.09355	−	24.6343i	0.304943	−	1.47482i
$280$	1.37564	−	3.82901i	0.0822100	−	0.228827i
$281$	−14.8669	+	10.8015i	−0.886886	+	0.644361i	−0.935064	−	0.354478i	$-0.884659\pi$
$281$	−14.8669	+	10.8015i	−0.886886	+	0.644361i	0.0481780	+	0.998839i	$0.484659\pi$
$282$	8.32262	+	12.7382i	0.495605	+	0.758551i
$283$	19.7415	−	17.7753i	1.17351	−	1.05663i	0.176123	−	0.984368i	$-0.443644\pi$
$283$	19.7415	−	17.7753i	1.17351	−	1.05663i	0.997386	−	0.0722638i	$-0.0230224\pi$
$284$	−2.05587	−	4.61756i	−0.121994	−	0.274002i
$285$	2.11767	+	7.81650i	0.125440	+	0.463010i
$286$	0.660992	−	9.44802i	0.0390853	−	0.558673i
$287$	16.3529	−	1.21188i	0.965281	−	0.0715351i
$288$	−1.23539	−	2.73383i	−0.0727961	−	0.161092i
$289$	−16.2439	+	3.45274i	−0.955523	+	0.203103i
$290$	−1.12695	+	5.30187i	−0.0661766	+	0.311337i
$291$	−3.16784	+	20.3663i	−0.185702	+	1.19389i
$292$	−2.77678	+	6.23676i	−0.162499	+	0.364979i
$293$	−5.07903	−	15.6317i	−0.296720	−	0.913211i	−0.982638	−	0.185532i	$-0.940599\pi$
$293$	−5.07903	−	15.6317i	−0.296720	−	0.913211i	0.685918	−	0.727679i	$-0.259401\pi$
$294$	−5.00178	+	11.0446i	−0.291709	+	0.644132i
$295$	−4.40907	−	3.20338i	−0.256706	−	0.186508i
$296$	2.80633	+	4.86071i	0.163115	+	0.282523i
$297$	8.47965	+	15.0032i	0.492039	+	0.870573i
$298$	5.98004	−	10.3577i	0.346414	−	0.600007i
$299$	−1.10927	+	10.5540i	−0.0641508	+	0.610354i
$300$	−2.47526	+	3.83480i	−0.142909	+	0.221402i
$301$	−6.02827	+	2.46480i	−0.347464	+	0.142069i
$302$	6.39723	+	8.80503i	0.368119	+	0.506673i
$303$	−0.813506	−	0.655037i	−0.0467347	−	0.0376309i
$304$	−0.632140	+	2.97398i	−0.0362557	+	0.170570i
$305$	7.89605	+	8.76945i	0.452127	+	0.502137i
$306$	10.1442	−	14.1264i	0.579907	−	0.807554i
$307$		−	5.44813i		−	0.310941i	−0.987841	−	0.155471i	$-0.950311\pi$
$307$		−	5.44813i		−	0.310941i	0.987841	−	0.155471i	$-0.0496894\pi$
$308$	−5.84464	+	6.54524i	−0.333029	+	0.372950i
$309$	−33.4029	−	8.85108i	−1.90023	−	0.503521i
$310$	12.8240	+	1.34785i	0.728352	+	0.0765529i
$311$	−0.153058	+	0.137814i	−0.00867911	+	0.00781471i	−0.673459	−	0.739225i	$-0.735192\pi$
$311$	−0.153058	+	0.137814i	−0.00867911	+	0.00781471i	0.664780	+	0.747040i	$0.268525\pi$
$312$	2.23327	−	4.41324i	0.126434	−	0.249851i
$313$	12.1422	+	5.40605i	0.686317	+	0.305568i	0.720109	−	0.693861i	$-0.244092\pi$
$313$	12.1422	+	5.40605i	0.686317	+	0.305568i	−0.0337923	+	0.999429i	$0.510758\pi$
$314$	−2.43395	+	1.76837i	−0.137356	+	0.0997947i
$315$	−7.42098	+	9.69084i	−0.418125	+	0.546017i
$316$	3.91549	+	1.27222i	0.220263	+	0.0715679i
$317$	16.7375	+	1.75918i	0.940073	+	0.0988056i	0.562153	−	0.827033i	$-0.309973\pi$
$317$	16.7375	+	1.75918i	0.940073	+	0.0988056i	0.377919	+	0.925839i	$0.376640\pi$
$318$	−2.65205	−	2.63738i	−0.148719	−	0.147897i
$319$	6.53742	−	9.69141i	0.366025	−	0.542615i
$320$	1.33177	−	0.768898i	0.0744482	−	0.0429827i
$321$	10.4959	+	12.8881i	0.585822	+	0.719342i
$322$	6.80049	−	7.10099i	0.378976	−	0.395722i
$323$	−16.7631	+	5.44666i	−0.932723	+	0.303060i
$324$	1.03998	+	8.93971i	0.0577764	+	0.496651i
$325$	−7.48394	+	0.786594i	−0.415134	+	0.0436324i
$326$	−21.8991	−	4.65480i	−1.21288	−	0.257806i
$327$	0.257865	−	5.19600i	0.0142600	−	0.287340i
$328$	5.01410	+	3.64295i	0.276857	+	0.201149i
$329$	19.2150	−	13.0773i	1.05936	−	0.720976i
$330$	−7.22245	+	5.08675i	−0.397583	+	0.280017i
$331$	−2.59582	−	4.49610i	−0.142679	−	0.247128i	0.785825	−	0.618448i	$-0.212238\pi$
$331$	−2.59582	−	4.49610i	−0.142679	−	0.247128i	−0.928505	+	0.371321i	$0.878905\pi$
$332$	−0.772738	+	0.344045i	−0.0424095	+	0.0188819i
$333$	−3.59210	−	16.4504i	−0.196846	−	0.901475i
$334$	−4.77496	+	5.30313i	−0.261274	+	0.290174i
$335$	10.7995	+	14.8642i	0.590040	+	0.812120i
$336$	−4.13970	+	1.96543i	−0.225839	+	0.107223i
$337$	9.96836	−	3.23892i	0.543011	−	0.176435i	−0.0246518	−	0.999696i	$-0.507848\pi$
$337$	9.96836	−	3.23892i	0.543011	−	0.176435i	0.567663	+	0.823261i	$0.307848\pi$
$338$	−4.73939	+	1.00739i	−0.257789	+	0.0547947i
$339$	−4.73654	−	29.3779i	−0.257253	−	1.59559i
$340$	7.72045	+	4.45740i	0.418700	+	0.241737i
$341$	−24.5546	−	13.0570i	−1.32971	−	0.707075i
$342$	4.51676	−	7.92442i	0.244238	−	0.428504i
$343$	17.0118	+	7.32115i	0.918550	+	0.395305i
$344$	−2.34109	−	0.760667i	−0.126223	−	0.0410124i
$345$	8.28637	−	5.41396i	0.446123	−	0.291478i
$346$	−1.30085	−	12.3768i	−0.0699341	−	0.665378i
$347$	2.19708	+	20.9038i	0.117945	+	1.12217i	0.880103	+	0.474783i	$0.157473\pi$
$347$	2.19708	+	20.9038i	0.117945	+	1.12217i	−0.762158	+	0.647391i	$0.775860\pi$
$348$	5.11086	−	3.33922i	0.273971	−	0.179001i
$349$	−22.6164	−	7.34851i	−1.21063	−	0.393357i	−0.366967	−	0.930234i	$-0.619604\pi$
$349$	−22.6164	−	7.34851i	−1.21063	−	0.393357i	−0.843660	+	0.536877i	$0.819604\pi$
$350$	5.92795	+	3.67000i	0.316862	+	0.196169i
$351$	−10.4047	+	10.5792i	−0.555361	+	0.564678i
$352$	−3.28436	+	0.461474i	−0.175057	+	0.0245966i
$353$	13.4986	+	7.79343i	0.718459	+	0.414803i	0.814185	−	0.580605i	$-0.197184\pi$
$353$	13.4986	+	7.79343i	0.718459	+	0.414803i	−0.0957262	+	0.995408i	$0.530517\pi$
$354$	0.977058	+	6.06009i	0.0519300	+	0.322090i
$355$	−7.60301	+	1.61607i	−0.403526	+	0.0857721i
$356$	9.25578	−	3.00739i	0.490555	−	0.159391i
$357$	−21.8666	−	15.0863i	−1.15730	−	0.798451i
$358$	−5.33342	−	7.34082i	−0.281880	−	0.387975i
$359$	1.94638	−	2.16167i	0.102726	−	0.114089i	−0.689589	−	0.724201i	$-0.742209\pi$
$359$	1.94638	−	2.16167i	0.102726	−	0.114089i	0.792315	+	0.610112i	$0.208876\pi$
$360$	−4.50718	+	0.984188i	−0.237549	+	0.0518713i
$361$	8.91239	−	3.96805i	0.469073	−	0.208845i
$362$	3.55832	+	6.16318i	0.187021	+	0.323930i
$363$	18.5526	−	4.33610i	0.973758	−	0.227586i
$364$	−6.80441	−	3.28377i	−0.356648	−	0.172116i
$365$	8.49347	+	6.17087i	0.444568	+	0.322998i
$366$	0.658795	−	13.2748i	0.0344358	−	0.693883i
$367$	14.4830	+	3.07845i	0.756004	+	0.160694i	0.569761	−	0.821810i	$-0.307036\pi$
$367$	14.4830	+	3.07845i	0.756004	+	0.160694i	0.186243	+	0.982504i	$0.440369\pi$
$368$	3.69584	−	0.388448i	0.192659	−	0.0202492i
$369$	−11.0121	−	14.9815i	−0.573268	−	0.779903i
$370$	8.20869	−	2.66717i	0.426750	−	0.138659i
$371$	−3.95163	+	4.12625i	−0.205159	+	0.214224i
$372$	−9.17117	−	11.2615i	−0.475503	−	0.583879i
$373$	16.2860	−	9.40275i	0.843259	−	0.486856i	−0.0151118	−	0.999886i	$-0.504810\pi$
$373$	16.2860	−	9.40275i	0.843259	−	0.486856i	0.858371	+	0.513030i	$0.171477\pi$
$374$	−11.8368	−	15.1514i	−0.612064	−	0.783462i
$375$	14.4200	+	14.3402i	0.744645	+	0.740526i
$376$	8.73687	+	0.918282i	0.450570	+	0.0473568i
$377$	9.57277	+	3.11038i	0.493023	+	0.160193i
$378$	13.6233	−	1.84556i	0.700706	−	0.0949256i
$379$	−3.58670	+	2.60589i	−0.184236	+	0.133856i	−0.676081	−	0.736828i	$-0.736323\pi$
$379$	−3.58670	+	2.60589i	−0.184236	+	0.133856i	0.491844	+	0.870683i	$0.336323\pi$
$380$	4.27133	+	1.90172i	0.219114	+	0.0975560i
$381$	1.36585	−	2.69910i	0.0699744	−	0.138279i
$382$	−5.81307	+	5.23412i	−0.297423	+	0.267801i
$383$	16.0454	+	1.68644i	0.819884	+	0.0861733i	0.505177	−	0.863016i	$-0.331427\pi$
$383$	16.0454	+	1.68644i	0.819884	+	0.0861733i	0.314707	+	0.949189i	$0.398094\pi$
$384$	−1.67427	−	0.443647i	−0.0854397	−	0.0226398i
$385$	7.97661	+	10.8841i	0.406525	+	0.554707i
$386$			5.08430i			0.258784i
$387$	5.99833	+	4.30742i	0.304912	+	0.218959i
$388$	7.96257	+	8.84333i	0.404238	+	0.448952i
$389$	−2.04013	+	9.59804i	−0.103439	+	0.486640i	0.895681	+	0.444696i	$0.146688\pi$
$389$	−2.04013	+	9.59804i	−0.103439	+	0.486640i	−0.999120	+	0.0419439i	$0.986645\pi$
$390$	−5.92433	−	4.77029i	−0.299990	−	0.241553i
$391$	12.6628	+	17.4289i	0.640386	+	0.881416i
$392$	3.12083	+	6.26581i	0.157626	+	0.316471i
$393$	5.76976	−	8.93882i	0.291046	−	0.450904i
$394$	2.71755	−	25.8557i	0.136908	−	1.30259i
$395$	3.16554	−	5.48288i	0.159276	−	0.275873i
$396$	9.80809	+	1.67374i	0.492875	+	0.0841086i
$397$	15.4632	+	26.7830i	0.776076	+	1.34420i	0.934188	+	0.356781i	$0.116126\pi$
$397$	15.4632	+	26.7830i	0.776076	+	1.34420i	−0.158112	+	0.987421i	$0.550541\pi$
$398$	−14.8628	−	10.7984i	−0.745003	−	0.541277i
$399$	−12.2326	−	6.67020i	−0.612395	−	0.333927i
$400$	0.814317	+	2.50621i	0.0407159	+	0.125311i
$401$	−5.08300	+	11.4166i	−0.253833	+	0.570118i	−0.994849	−	0.101369i	$-0.967678\pi$
$401$	−5.08300	+	11.4166i	−0.253833	+	0.570118i	0.741016	+	0.671487i	$0.234344\pi$
$402$	3.18058	−	20.4482i	0.158633	−	1.01987i
$403$	4.97844	−	23.4217i	0.247994	−	1.16672i
$404$	−0.589834	+	0.125373i	−0.0293453	+	0.00623754i
$405$	13.7795	+	1.29393i	0.684711	+	0.0642960i
$406$	−5.24691	−	7.70949i	−0.260400	−	0.382615i
$407$	−18.5697	−	1.29915i	−0.920467	−	0.0643967i
$408$	−2.62567	−	9.69155i	−0.129990	−	0.479803i
$409$	−1.88231	−	4.22774i	−0.0930744	−	0.209049i	0.861009	−	0.508590i	$-0.169833\pi$
$409$	−1.88231	−	4.22774i	−0.0930744	−	0.209049i	−0.954083	+	0.299541i	$0.903166\pi$
$410$	7.08283	−	6.37741i	0.349796	−	0.314958i
$411$	−21.8340	−	33.4182i	−1.07699	−	1.64840i
$412$	−16.1405	+	11.7268i	−0.795185	+	0.577736i
$413$	9.22718	−	1.66661i	0.454040	−	0.0820083i
$414$	−10.9176	−	2.25741i	−0.536573	−	0.110945i
$415$	0.270445	+	1.27235i	0.0132756	+	0.0624570i
$416$	−1.16150	−	2.60877i	−0.0569471	−	0.127905i
$417$	26.0681	+	25.9240i	1.27656	+	1.26950i
$418$	−7.00465	−	7.25402i	−0.342609	−	0.354806i
$419$			18.6281i			0.910045i	0.890480	+	0.455022i	$0.150369\pi$
$419$			18.6281i			0.910045i	−0.890480	+	0.455022i	$0.849631\pi$
$420$	1.63281	+	6.85529i	0.0796729	+	0.334504i
$421$	0.740760	−	2.27983i	0.0361024	−	0.111112i	−0.931381	−	0.364045i	$-0.881395\pi$
$421$	0.740760	−	2.27983i	0.0361024	−	0.111112i	0.967484	+	0.252933i	$0.0813953\pi$
$422$	9.95671	+	8.96507i	0.484685	+	0.436413i
$423$	−24.1356	−	10.5859i	−1.17351	−	0.514702i
$424$	−2.14758	+	0.225720i	−0.104296	+	0.0109619i
$425$	−10.2220	+	11.3527i	−0.495840	+	0.550686i
$426$	7.35554	+	4.74780i	0.356377	+	0.230032i
$427$	−20.2929	−	0.624142i	−0.982043	−	0.0302043i
$428$	9.59628			0.463854
$429$	7.99231	+	14.3258i	0.385872	+	0.691657i
$430$	−1.89269	+	3.27824i	−0.0912738	+	0.158091i
$431$	−6.01065	+	2.67611i	−0.289523	+	0.128904i	−0.546359	−	0.837551i	$-0.683987\pi$
$431$	−6.01065	+	2.67611i	−0.289523	+	0.128904i	0.256836	+	0.966455i	$0.417320\pi$
$432$	4.38125	+	2.79368i	0.210793	+	0.134411i
$433$	2.81285	+	8.65706i	0.135177	+	0.416032i	0.995617	−	0.0935190i	$-0.0298116\pi$
$433$	2.81285	+	8.65706i	0.135177	+	0.416032i	−0.860441	+	0.509551i	$0.829812\pi$
$434$	−16.9352	+	14.3308i	−0.812915	+	0.687899i
$435$	−3.38875	−	8.75534i	−0.162478	−	0.419786i
$436$	−2.23211	−	2.00980i	−0.106899	−	0.0962522i
$437$	7.56037	+	8.39665i	0.361662	+	0.401666i
$438$	−1.88217	−	11.6739i	−0.0899334	−	0.557802i
$439$	29.1172	−	16.8108i	1.38969	−	0.802338i	0.396410	−	0.918074i	$-0.370256\pi$
$439$	29.1172	−	16.8108i	1.38969	−	0.802338i	0.993280	+	0.115736i	$0.0369227\pi$
$440$	−0.355951	+	5.08785i	−0.0169693	+	0.242554i
$441$	−3.21068	−	20.7531i	−0.152890	−	0.988243i
$442$	9.73054	−	13.3929i	0.462835	−	0.637037i
$443$	−7.18896	−	33.8214i	−0.341558	−	1.60690i	−0.728667	−	0.684868i	$-0.759860\pi$
$443$	−7.18896	−	33.8214i	−0.341558	−	1.60690i	0.387109	−	0.922034i	$-0.373474\pi$
$444$	−8.67406	−	4.38940i	−0.411652	−	0.208312i
$445$	−1.56437	−	14.8840i	−0.0741583	−	0.705569i
$446$	7.81063	+	3.47752i	0.369844	+	0.164665i
$447$	1.14152	+	20.6840i	0.0539922	+	0.978319i
$448$	−0.629381	+	2.56980i	−0.0297355	+	0.121412i
$449$	−20.6335	+	28.3995i	−0.973753	+	1.34026i	−0.0336257	+	0.999434i	$0.510705\pi$
$449$	−20.6335	+	28.3995i	−0.973753	+	1.34026i	−0.940128	+	0.340822i	$0.889295\pi$
$450$	−0.0438433	−	7.90544i	−0.00206680	−	0.372666i
$451$	−19.3162	+	7.02980i	−0.909566	+	0.331020i
$452$	−14.8786	−	8.59017i	−0.699831	−	0.404048i
$453$	−17.6176	−	6.70676i	−0.827746	−	0.315111i
$454$	3.44139	−	10.5915i	0.161512	−	0.497084i
$455$	−7.11496	+	9.18523i	−0.333554	+	0.430610i
$456$	−1.90085	−	4.91114i	−0.0890155	−	0.229985i
$457$	16.5405	−	37.1505i	0.773731	−	1.73783i	0.104813	−	0.994492i	$-0.466576\pi$
$457$	16.5405	−	37.1505i	0.773731	−	1.73783i	0.668918	−	0.743336i	$-0.266758\pi$
$458$	−4.16935	−	0.886223i	−0.194821	−	0.0414105i
$459$	−1.32621	+	30.0936i	−0.0619022	+	1.40465i
$460$	0.597353	−	5.68344i	0.0278517	−	0.264992i
$461$	−5.11725			−0.238334			−0.119167	−	0.992874i	$-0.538022\pi$
$461$	−5.11725			−0.238334			−0.119167	+	0.992874i	$0.538022\pi$
$462$	2.27398	−	15.0276i	0.105795	−	0.699148i
$463$	19.5779			0.909864			0.454932	−	0.890526i	$-0.349664\pi$
$463$	19.5779			0.909864			0.454932	+	0.890526i	$0.349664\pi$
$464$	0.368435	−	3.50542i	0.0171042	−	0.162735i
$465$	−19.8716	+	10.1946i	−0.921525	+	0.472764i
$466$	−27.3055	−	5.80397i	−1.26490	−	0.268864i
$467$	9.67112	−	21.7217i	0.447526	−	1.00516i	−0.539112	−	0.842234i	$-0.681240\pi$
$467$	9.67112	−	21.7217i	0.447526	−	1.00516i	0.986638	−	0.162926i	$-0.0520931\pi$
$468$	0.942727	+	8.51492i	0.0435776	+	0.393602i
$469$	−31.3212	−	4.26913i	−1.44628	−	0.197130i
$470$	4.17467	−	12.8483i	0.192563	−	0.592649i
$471$	1.85393	−	4.86997i	0.0854246	−	0.224396i
$472$	3.06918	+	1.77199i	0.141270	+	0.0815624i
$473$	6.43357	−	5.02610i	0.295816	−	0.231100i
$474$	−6.88271	+	1.86469i	−0.316133	+	0.0856479i
$475$	−4.70938	+	6.48191i	−0.216081	+	0.297410i
$476$	−14.7259	+	4.28896i	−0.674961	+	0.196584i
$477$	6.34403	+	1.31174i	0.290473	+	0.0600603i
$478$	20.6065	+	9.17461i	0.942520	+	0.419637i
$479$	1.06765	+	10.1580i	0.0487821	+	0.464131i	0.991459	+	0.130422i	$0.0416334\pi$
$479$	1.06765	+	10.1580i	0.0487821	+	0.464131i	−0.942676	+	0.333708i	$0.891700\pi$
$480$	−1.20264	+	2.37658i	−0.0548926	+	0.108475i
$481$	−3.33237	−	15.6776i	−0.151943	−	0.714835i
$482$	6.93565	−	9.54610i	0.315910	−	0.434813i
$483$	−3.13346	+	16.7390i	−0.142577	+	0.761650i
$484$	4.82275	−	9.88641i	0.219216	−	0.449382i
$485$	15.8479	−	9.14979i	0.719616	−	0.415471i
$486$	−9.97715	−	11.9773i	−0.452573	−	0.543303i
$487$	−12.1923	−	13.5410i	−0.552487	−	0.613599i	0.400615	−	0.916246i	$-0.368796\pi$
$487$	−12.1923	−	13.5410i	−0.552487	−	0.613599i	−0.953103	+	0.302647i	$0.902130\pi$
$488$	−5.70261	−	5.13466i	−0.258145	−	0.232435i
$489$	36.1635	−	13.9971i	1.63537	−	0.632969i
$490$	10.4228	−	2.69099i	0.470854	−	0.121566i
$491$	−12.5746	−	38.7006i	−0.567483	−	1.74653i	−0.660458	−	0.750863i	$-0.729638\pi$
$491$	−12.5746	−	38.7006i	−0.567483	−	1.74653i	0.0929749	−	0.995668i	$-0.470362\pi$
$492$	−10.7216	−	0.532090i	−0.483369	−	0.0239885i
$493$	18.6668	−	8.31100i	0.840711	−	0.374308i
$494$	4.34119	−	7.51916i	0.195319	−	0.338303i
$495$	5.65352	−	14.2181i	0.254107	−	0.639056i
$496$	−8.38512			−0.376503
$497$	7.03942	−	11.3704i	0.315761	−	0.510032i
$498$	0.794532	−	1.23093i	0.0356038	−	0.0551594i
$499$	24.4819	−	27.1899i	1.09596	−	1.21719i	0.121509	−	0.992590i	$-0.461227\pi$
$499$	24.4819	−	27.1899i	1.09596	−	1.21719i	0.974452	−	0.224597i	$-0.0721065\pi$
$500$	11.6770	−	1.22731i	0.522213	−	0.0548868i
$501$	1.89967	−	12.2132i	0.0848712	−	0.545644i
$502$	20.1172	+	18.1136i	0.897872	+	0.808448i
$503$	7.83301	−	24.1075i	0.349256	−	1.07490i	−0.610009	−	0.792395i	$-0.708834\pi$
$503$	7.83301	−	24.1075i	0.349256	−	1.07490i	0.959265	−	0.282506i	$-0.0911658\pi$
$504$	4.14058	−	6.77168i	0.184436	−	0.301635i
$505$			0.927307i			0.0412646i
$506$	−5.78671	+	10.8823i	−0.257251	+	0.483778i
$507$	5.91774	−	5.95065i	0.262816	−	0.264278i
$508$	−0.710361	−	1.59550i	−0.0315172	−	0.0707887i
$509$	0.850616	+	4.00183i	0.0377029	+	0.177378i	0.992970	−	0.118366i	$-0.0377657\pi$
$509$	0.850616	+	4.00183i	0.0377029	+	0.177378i	−0.955267	+	0.295744i	$0.904432\pi$
$510$	−15.4174	+	0.850869i	−0.682696	+	0.0376771i
$511$	−17.7749	+	3.21049i	−0.786315	+	0.142024i
$512$	−0.809017	+	0.587785i	−0.0357538	+	0.0259767i
$513$	0.958045	+	15.7694i	0.0422987	+	0.696237i
$514$	−2.62786	+	2.36614i	−0.115910	+	0.104366i
$515$	12.4787	+	28.0277i	0.549879	+	1.23505i
$516$	4.11521	−	1.11491i	0.181162	−	0.0490810i
$517$	−18.7294	+	22.3192i	−0.823716	+	0.981599i
$518$	−6.45411	+	13.3738i	−0.283577	+	0.587611i
$519$	13.6116	+	16.7139i	0.597481	+	0.733658i
$520$	−4.29544	+	0.913024i	−0.188368	+	0.0400388i
$521$	2.19412	−	10.3225i	0.0961261	−	0.452238i	−0.903590	−	0.428399i	$-0.859078\pi$
$521$	2.19412	−	10.3225i	0.0961261	−	0.452238i	0.999716	−	0.0238389i	$-0.00758888\pi$
$522$	−4.24728	+	9.68372i	−0.185898	+	0.423845i
$523$	−13.6552	+	30.6700i	−0.597099	+	1.34111i	0.321873	+	0.946783i	$0.395687\pi$
$523$	−13.6552	+	30.6700i	−0.597099	+	1.34111i	−0.918972	+	0.394323i	$0.870979\pi$
$524$	−1.89815	−	5.84191i	−0.0829211	−	0.255205i
$525$	−12.0723	+	0.294453i	−0.526880	+	0.0128510i
$526$	11.7977	+	8.57156i	0.514406	+	0.373738i
$527$	−24.3048	−	42.0972i	−1.05874	−	1.83378i
$528$	4.32514	−	3.78063i	0.188227	−	0.164531i
$529$	−4.59495	+	7.95869i	−0.199781	+	0.346030i
$530$	−0.347111	+	3.30254i	−0.0150775	+	0.143453i
$531$	−7.15786	−	7.86149i	−0.310625	−	0.341160i
$532$	−7.44586	+	3.04441i	−0.322819	+	0.131992i
$533$	−10.4030	−	14.3185i	−0.450604	−	0.620203i
$534$	−10.5718	+	13.1293i	−0.457485	+	0.568161i
$535$	3.06818	−	14.4346i	0.132649	−	0.624063i
$536$	−7.99461	−	8.87892i	−0.345315	−	0.383511i
$537$	14.6879	+	5.59148i	0.633830	+	0.241290i
$538$			32.2271i			1.38941i
$539$	−23.0164	−	3.04050i	−0.991387	−	0.130964i
$540$	5.60302	−	5.69703i	0.241116	−	0.245161i
$541$	10.7475	+	1.12961i	0.462071	+	0.0485657i	0.332704	−	0.943031i	$-0.392039\pi$
$541$	10.7475	+	1.12961i	0.462071	+	0.0485657i	0.129367	+	0.991597i	$0.458706\pi$
$542$	−11.9967	+	10.8018i	−0.515301	+	0.463979i
$543$	−10.9983	−	5.56558i	−0.471984	−	0.238842i
$544$	−5.29595	−	2.35791i	−0.227062	−	0.101094i
$545$	−3.73679	+	2.71494i	−0.160067	+	0.116295i
$546$	12.9773	−	1.68482i	0.555378	−	0.0721035i
$547$	−15.5636	−	5.05692i	−0.665451	−	0.216218i	−0.0432365	−	0.999065i	$-0.513767\pi$
$547$	−15.5636	−	5.05692i	−0.665451	−	0.216218i	−0.622215	+	0.782847i	$0.713767\pi$
$548$	−22.9208	−	2.40907i	−0.979127	−	0.102910i
$549$	11.6208	+	19.8725i	0.495965	+	0.848138i
$550$	−8.40127	−	2.40933i	−0.358231	−	0.102734i
$551$	9.28092	−	5.35834i	0.395380	−	0.228273i
$552$	−4.99095	+	4.06456i	−0.212429	+	0.172999i
$553$	3.04591	+	10.4580i	0.129525	+	0.444719i
$554$	8.13520	−	2.64329i	0.345631	−	0.112302i
$555$	−9.37581	+	11.6440i	−0.397981	+	0.494262i
$556$	21.1095	−	2.21870i	0.895241	−	0.0940937i
$557$	−4.39280	−	0.933718i	−0.186129	−	0.0395629i	0.113904	−	0.993492i	$-0.463664\pi$
$557$	−4.39280	−	0.933718i	−0.186129	−	0.0395629i	−0.300033	+	0.953929i	$0.596998\pi$
$558$	23.9669	+	7.64064i	1.01460	+	0.323454i
$559$	5.68688	+	4.13176i	0.240530	+	0.174755i
$560$	3.66424	+	1.76834i	0.154842	+	0.0747260i
$561$	31.5172	+	10.7558i	1.33066	+	0.454110i
$562$	−9.18826	−	15.9145i	−0.387584	−	0.671314i
$563$	3.87105	−	1.72350i	0.163145	−	0.0726369i	−0.323539	−	0.946215i	$-0.604873\pi$
$563$	3.87105	−	1.72350i	0.163145	−	0.0726369i	0.486685	+	0.873578i	$0.338206\pi$
$564$	−13.5384	+	6.94552i	−0.570070	+	0.292459i
$565$	−17.6783	+	19.6338i	−0.743733	+	0.825999i
$566$	15.6144	+	21.4914i	0.656321	+	0.903349i
$567$	−18.0053	+	15.5823i	−0.756152	+	0.654396i
$568$	4.80717	−	1.56194i	0.201704	−	0.0655377i
$569$	−22.6666	+	4.81794i	−0.950235	+	0.201979i	−0.656855	−	0.754017i	$-0.728113\pi$
$569$	−22.6666	+	4.81794i	−0.950235	+	0.201979i	−0.293380	+	0.955996i	$0.594780\pi$
$570$	−7.99504	+	1.28903i	−0.334875	+	0.0539914i
$571$	25.0279	+	14.4499i	1.04739	+	0.604709i	0.921917	−	0.387388i	$-0.126623\pi$
$571$	25.0279	+	14.4499i	1.04739	+	0.604709i	0.125470	+	0.992097i	$0.459956\pi$
$572$	9.32717	+	1.64496i	0.389989	+	0.0687792i
$573$	3.47032	−	13.0966i	0.144975	−	0.547117i
$574$	−0.504101	+	16.3900i	−0.0210408	+	0.684105i
$575$	9.31356	+	3.02616i	0.388402	+	0.126200i
$576$	2.84798	−	0.942860i	0.118666	−	0.0392858i
$577$	−1.81210	−	17.2409i	−0.0754385	−	0.717750i	−0.965233	−	0.261389i	$-0.915819\pi$
$577$	−1.81210	−	17.2409i	−0.0754385	−	0.717750i	0.889795	−	0.456361i	$-0.150847\pi$
$578$	−1.73588	−	16.5158i	−0.0722032	−	0.686967i
$579$	−4.81670	−	7.37223i	−0.200175	−	0.306379i
$580$	−5.15503	−	1.67497i	−0.214051	−	0.0695494i
$581$	−1.90281	−	1.17803i	−0.0789418	−	0.0488729i
$582$	−19.9236	−	5.27934i	−0.825860	−	0.218836i
$583$	3.36255	−	6.32351i	0.139262	−	0.261893i
$584$	−5.91234	−	3.41349i	−0.244654	−	0.141251i
$585$	13.1095	+	1.30440i	0.542010	+	0.0539302i
$586$	16.0769	−	3.41726i	0.664132	−	0.141166i
$587$	8.66389	−	2.81507i	0.357597	−	0.116190i	−0.124708	−	0.992193i	$-0.539800\pi$
$587$	8.66389	−	2.81507i	0.357597	−	0.116190i	0.482305	+	0.876003i	$0.339800\pi$
$588$	−10.4612	−	6.12885i	−0.431414	−	0.252749i
$589$	−14.9852	−	20.6253i	−0.617454	−	0.849852i
$590$	3.64670	−	4.05008i	0.150132	−	0.166739i
$591$	20.5544	+	40.0653i	0.845496	+	1.64807i
$592$	−5.12743	+	2.28288i	−0.210736	+	0.0938257i
$593$	23.8397	+	41.2916i	0.978981	+	1.69564i	0.666118	+	0.745846i	$0.267955\pi$
$593$	23.8397	+	41.2916i	0.978981	+	1.69564i	0.312863	+	0.949798i	$0.398712\pi$
$594$	−15.8074	+	6.86494i	−0.648584	+	0.281672i
$595$	1.74316	+	23.5219i	0.0714626	+	0.964302i
$596$	9.67591	+	7.02996i	0.396341	+	0.287958i
$597$	31.7811	+	1.57722i	1.30071	+	0.0645512i
$598$	−10.3802	−	2.20639i	−0.424480	−	0.0902260i
$599$	16.2633	−	1.70934i	0.664501	−	0.0698418i	0.233728	−	0.972302i	$-0.424908\pi$
$599$	16.2633	−	1.70934i	0.664501	−	0.0698418i	0.430773	+	0.902460i	$0.358241\pi$
$600$	−3.55506	−	2.86254i	−0.145135	−	0.116863i
$601$	1.81854	−	0.590879i	0.0741797	−	0.0241025i	−0.271692	−	0.962384i	$-0.587583\pi$
$601$	1.81854	−	0.590879i	0.0741797	−	0.0241025i	0.345872	+	0.938282i	$0.387583\pi$
$602$	−1.82117	−	6.25289i	−0.0742253	−	0.254849i
$603$	14.7601	+	32.6631i	0.601080	+	1.33014i
$604$	−9.42549	+	5.44181i	−0.383518	+	0.221424i
$605$	−13.3291	−	10.4153i	−0.541904	−	0.423441i
$606$	0.736484	−	0.740579i	0.0299176	−	0.0300840i
$607$	−17.4553	−	1.83462i	−0.708487	−	0.0744650i	−0.256571	−	0.966525i	$-0.582593\pi$
$607$	−17.4553	−	1.83462i	−0.708487	−	0.0744650i	−0.451916	+	0.892060i	$0.649259\pi$
$608$	−2.89161	−	0.939542i	−0.117270	−	0.0381035i
$609$	14.9117	+	6.20800i	0.604253	+	0.251561i
$610$	−9.54678	+	6.93614i	−0.386538	+	0.280836i
$611$	−22.9180	−	10.2037i	−0.927163	−	0.412800i
$612$	12.9887	+	11.5653i	0.525036	+	0.467498i
$613$	−14.1860	+	12.7731i	−0.572967	+	0.515902i	−0.903895	−	0.427754i	$-0.859305\pi$
$613$	−14.1860	+	12.7731i	−0.572967	+	0.515902i	0.330928	+	0.943656i	$0.392638\pi$
$614$	5.41828	+	0.569485i	0.218664	+	0.0229825i
$615$	−4.22835	+	15.9573i	−0.170504	+	0.643460i
$616$	−5.89845	−	6.49679i	−0.237655	−	0.261763i
$617$			25.9415i			1.04436i	0.852834	+	0.522182i	$0.174882\pi$
$617$			25.9415i			1.04436i	−0.852834	+	0.522182i	$0.825118\pi$
$618$	12.2942	−	32.2947i	0.494543	−	1.29909i
$619$	1.86804	+	2.07467i	0.0750829	+	0.0833880i	0.779516	−	0.626383i	$-0.215465\pi$
$619$	1.86804	+	2.07467i	0.0750829	+	0.0833880i	−0.704433	+	0.709771i	$0.748799\pi$
$620$	−2.68094	+	12.6128i	−0.107669	+	0.506543i
$621$	17.9692	−	7.06978i	0.721078	−	0.283700i
$622$	−0.121060	−	0.166625i	−0.00485406	−	0.00668105i
$623$	20.3560	+	15.7680i	0.815547	+	0.631730i
$624$	4.15563	+	2.68234i	0.166358	+	0.107380i
$625$	0.510085	−	4.85314i	0.0204034	−	0.194125i
$626$	−6.64564	+	11.5106i	−0.265613	+	0.460055i
$627$	17.0290	+	3.88234i	0.680071	+	0.155046i
$628$	−1.50426	−	2.60546i	−0.0600266	−	0.103969i
$629$	−26.3233	−	19.1250i	−1.04958	−	0.762564i
$630$	−8.86205	−	8.39330i	−0.353072	−	0.334397i
$631$	5.73594	+	17.6534i	0.228344	+	0.702771i	0.997935	+	0.0642336i	$0.0204603\pi$
$631$	5.73594	+	17.6534i	0.228344	+	0.702771i	−0.769591	+	0.638537i	$0.779540\pi$
$632$	−1.67453	+	3.76105i	−0.0666092	+	0.149607i
$633$	−22.9304	−	3.56667i	−0.911403	−	0.141762i
$634$	−3.49909	+	16.4619i	−0.138967	+	0.653787i
$635$	−2.62705	+	0.558397i	−0.104251	+	0.0221593i
$636$	2.90015	−	2.36184i	0.114998	−	0.0936530i
$637$	−2.94659	−	19.7712i	−0.116748	−	0.783363i
$638$	8.95497	+	7.51463i	0.354531	+	0.297507i
$639$	−15.1634	+	0.0840960i	−0.599856	+	0.00332679i
$640$	0.625478	+	1.40485i	0.0247242	+	0.0555314i
$641$	16.4752	−	14.8344i	0.650732	−	0.585922i	−0.276223	−	0.961093i	$-0.589083\pi$
$641$	16.4752	−	14.8344i	0.650732	−	0.585922i	0.926955	+	0.375172i	$0.122416\pi$
$642$	−13.9146	+	9.09119i	−0.549165	+	0.358801i
$643$	−7.51353	+	5.45890i	−0.296305	+	0.215278i	−0.725998	−	0.687697i	$-0.758622\pi$
$643$	−7.51353	+	5.45890i	−0.296305	+	0.215278i	0.429693	+	0.902975i	$0.358622\pi$
$644$	6.35124	+	7.50549i	0.250274	+	0.295758i
$645$	−0.361295	−	6.54652i	−0.0142260	−	0.257769i
$646$	−3.66460	−	17.2406i	−0.144182	−	0.678322i
$647$	−17.3277	−	38.9187i	−0.681224	−	1.53005i	−0.839911	−	0.542724i	$-0.817393\pi$
$647$	−17.3277	−	38.9187i	−0.681224	−	1.53005i	0.158687	−	0.987329i	$-0.449274\pi$
$648$	−8.99945	+	0.0998245i	−0.353532	+	0.00392148i
$649$	−10.5646	+	5.15228i	−0.414699	+	0.202245i
$650$		−	7.52517i		−	0.295161i
$651$	10.9795	−	36.8234i	0.430321	−	1.44322i
$652$	6.91839	−	21.2926i	0.270945	−	0.833883i
$653$	32.6782	+	29.4236i	1.27880	+	1.15143i	0.980406	+	0.196988i	$0.0631161\pi$
$653$	32.6782	+	29.4236i	1.27880	+	1.15143i	0.298390	+	0.954444i	$0.403551\pi$
$654$	5.14058	+	0.799583i	0.201013	+	0.0312662i
$655$	−9.39423	+	0.987374i	−0.367063	+	0.0385799i
$656$	−4.14711	+	4.60584i	−0.161918	+	0.179828i
$657$	13.7886	+	15.1441i	0.537946	+	0.590827i
$658$	10.9972	+	20.4767i	0.428714	+	0.798265i
$659$	40.0931			1.56180			0.780902	−	0.624654i	$-0.214760\pi$
$659$	40.0931			1.56180			0.780902	+	0.624654i	$0.214760\pi$
$660$	−4.30394	−	7.71460i	−0.167530	−	0.300290i
$661$	−7.52716	+	13.0374i	−0.292773	+	0.507097i	−0.974464	−	0.224543i	$-0.927911\pi$
$661$	−7.52716	+	13.0374i	−0.292773	+	0.507097i	0.681692	+	0.731640i	$0.261245\pi$
$662$	4.74280	−	2.11163i	0.184334	−	0.0820709i
$663$	−1.42124	+	28.6381i	−0.0551965	+	1.11221i
$664$	−0.261387	−	0.804467i	−0.0101438	−	0.0312194i
$665$	2.19874	+	12.1734i	0.0852636	+	0.472063i
$666$	16.7357	−	1.85289i	0.648497	−	0.0717981i
$667$	−9.73415	−	8.76467i	−0.376908	−	0.339369i
$668$	−4.77496	−	5.30313i	−0.184749	−	0.205184i
$669$	−14.6199	+	2.35714i	−0.565238	+	0.0911323i
$670$	−15.9117	+	9.18660i	−0.614721	+	0.354909i
$671$	24.6948	−	6.15620i	0.953330	−	0.237658i
$672$	−1.52194	−	4.32246i	−0.0587102	−	0.166743i
$673$	−4.60337	+	6.33599i	−0.177447	+	0.244235i	−0.888471	−	0.458933i	$-0.848232\pi$
$673$	−4.60337	+	6.33599i	−0.177447	+	0.244235i	0.711024	+	0.703168i	$0.248232\pi$
$674$	2.17920	+	10.2523i	0.0839395	+	0.394904i
$675$	7.55292	+	11.4213i	0.290712	+	0.439607i
$676$	−0.506468	−	4.81872i	−0.0194796	−	0.185336i
$677$	−4.41635	−	1.96628i	−0.169734	−	0.0755705i	0.320111	−	0.947380i	$-0.396280\pi$
$677$	−4.41635	−	1.96628i	−0.169734	−	0.0755705i	−0.489845	+	0.871810i	$0.662947\pi$
$678$	29.7120	−	1.63977i	1.14108	−	0.0629750i
$679$	−7.48956	+	30.5803i	−0.287423	+	1.17357i
$680$	−5.23999	+	7.21223i	−0.200945	+	0.276576i
$681$	5.04403	+	18.6179i	0.193288	+	0.713440i
$682$	15.5521	−	23.0553i	0.595521	−	0.882831i
$683$	−25.9588	−	14.9873i	−0.993286	−	0.573474i	−0.0870310	−	0.996206i	$-0.527738\pi$
$683$	−25.9588	−	14.9873i	−0.993286	−	0.573474i	−0.906255	+	0.422732i	$0.861071\pi$
$684$	7.40888	+	5.32034i	0.283286	+	0.203428i
$685$	−10.9521	+	33.7070i	−0.418457	+	1.28788i
$686$	−9.05926	+	16.1533i	−0.345884	+	0.616737i
$687$	6.88513	−	2.66488i	0.262684	−	0.101672i
$688$	1.00121	−	2.24875i	0.0381708	−	0.0857330i
$689$	6.03176	+	1.28209i	0.229792	+	0.0488437i
$690$	4.51814	+	8.80689i	0.172003	+	0.335273i
$691$	1.57506	−	14.9857i	0.0599179	−	0.570081i	−0.922840	−	0.385184i	$-0.874138\pi$
$691$	1.57506	−	14.9857i	0.0599179	−	0.570081i	0.982758	−	0.184897i	$-0.0591953\pi$
$692$	12.4449			0.473085
$693$	10.9394	+	23.9443i	0.415553	+	0.909569i
$694$	−21.0189			−0.797867
$695$	3.41190	−	32.4621i	0.129421	−	1.23136i
$696$	2.78669	+	5.43190i	0.105629	+	0.205896i
$697$	−35.1441	−	7.47012i	−1.33118	−	0.282951i
$698$	9.67231	−	21.7244i	0.366102	−	0.822279i
$699$	45.0914	−	17.4526i	1.70551	−	0.660118i
$700$	−4.26953	+	5.51185i	−0.161373	+	0.208329i
$701$	11.9132	−	36.6650i	0.449955	−	1.38482i	−0.427003	−	0.904250i	$-0.640430\pi$
$701$	11.9132	−	36.6650i	0.449955	−	1.38482i	0.876957	−	0.480568i	$-0.159570\pi$
$702$	−9.43371	−	11.4535i	−0.356052	−	0.432285i
$703$	−14.7786	−	8.53244i	−0.557386	−	0.321807i
$704$	−0.115636	−	3.31461i	−0.00435820	−	0.124924i
$705$	6.11881	+	22.5850i	0.230448	+	0.850600i
$706$	−9.16173	+	12.6100i	−0.344806	+	0.474585i
$707$	−1.15225	−	1.10349i	−0.0433347	−	0.0415009i
$708$	−6.12902	+	0.338253i	−0.230343	+	0.0127123i
$709$	−2.85997	−	1.27334i	−0.107408	−	0.0478213i	0.352329	−	0.935876i	$-0.385390\pi$
$709$	−2.85997	−	1.27334i	−0.107408	−	0.0478213i	−0.459737	+	0.888055i	$0.652056\pi$
$710$	−0.812486	−	7.73029i	−0.0304921	−	0.290113i
$711$	8.21337	−	9.22424i	0.308026	−	0.345936i
$712$	2.02342	+	9.51943i	0.0758308	+	0.356756i
$713$	−18.3158	+	25.2096i	−0.685933	+	0.944106i
$714$	17.2893	−	20.1698i	0.647037	−	0.754836i
$715$	5.45647	−	13.5039i	0.204060	−	0.505018i
$716$	7.85810	−	4.53688i	0.293671	−	0.169551i
$717$	−38.5712	+	6.21876i	−1.44047	+	0.232244i
$718$	1.94638	+	2.16167i	0.0726382	+	0.0806729i
$719$	−17.6956	−	15.9332i	−0.659934	−	0.594207i	0.269587	−	0.962976i	$-0.413113\pi$
$719$	−17.6956	−	15.9332i	−0.659934	−	0.594207i	−0.929521	+	0.368769i	$0.879779\pi$
$720$	−0.507668	−	4.58537i	−0.0189197	−	0.170887i
$721$	−49.6761	−	17.8470i	−1.85003	−	0.664655i
$722$	3.01472	+	9.27834i	0.112196	+	0.345304i
$723$	−1.01302	+	20.4124i	−0.0376746	+	0.759147i
$724$	−6.50137	+	2.89459i	−0.241621	+	0.107577i
$725$	4.64416	−	8.04393i	0.172480	−	0.298744i
$726$	2.37307	+	18.9042i	0.0880729	+	0.701600i
$727$	11.6051			0.430410			0.215205	−	0.976569i	$-0.430958\pi$
$727$	11.6051			0.430410			0.215205	+	0.976569i	$0.430958\pi$
$728$	3.97703	−	6.42389i	0.147399	−	0.238085i
$729$	25.8138	+	7.91509i	0.956066	+	0.293152i
$730$	−7.02487	+	7.80191i	−0.260002	+	0.288762i
$731$	14.1919	−	1.49163i	0.524905	−	0.0551698i
$732$	13.1332	+	2.04278i	0.485417	+	0.0755032i
$733$	10.5769	+	9.52348i	0.390667	+	0.351758i	0.840936	−	0.541135i	$-0.182005\pi$
$733$	10.5769	+	9.52348i	0.390667	+	0.351758i	−0.450269	+	0.892893i	$0.648672\pi$
$734$	−4.57546	+	14.0818i	−0.168883	+	0.519770i
$735$	−12.5637	+	13.7761i	−0.463418	+	0.508140i
$736$			3.71619i			0.136981i
$737$	39.2408	−	5.51358i	1.44545	−	0.203095i
$738$	16.0505	−	9.38581i	0.590826	−	0.345496i
$739$	3.07755	+	6.91228i	0.113209	+	0.254272i	0.961260	−	0.275642i	$-0.0888906\pi$
$739$	3.07755	+	6.91228i	0.113209	+	0.254272i	−0.848051	+	0.529915i	$0.822224\pi$
$740$	1.79451	+	8.44252i	0.0659676	+	0.310353i
$741$	0.828686	+	15.0155i	0.0304425	+	0.551607i
$742$	−3.69058	−	4.36130i	−0.135486	−	0.160108i
$743$	13.0117	−	9.45356i	0.477354	−	0.346818i	−0.322947	−	0.946417i	$-0.604673\pi$
$743$	13.0117	−	9.45356i	0.477354	−	0.346818i	0.800300	+	0.599600i	$0.204673\pi$
$744$	12.1584	−	7.94379i	0.445749	−	0.291233i
$745$	13.6680	−	12.3068i	0.500758	−	0.450885i
$746$	7.64888	+	17.1797i	0.280045	+	0.628992i
$747$	0.0140733	+	2.53756i	0.000514914	+	0.0928445i
$748$	16.3057	−	10.1882i	0.596196	−	0.372516i
$749$	14.2850	+	20.9895i	0.521962	+	0.766939i
$750$	−15.7690	+	12.8420i	−0.575801	+	0.468924i
$751$	−40.1294	+	8.52977i	−1.46434	+	0.311256i	−0.870038	−	0.492985i	$-0.835906\pi$
$751$	−40.1294	+	8.52977i	−1.46434	+	0.311256i	−0.594304	+	0.804240i	$0.702573\pi$
$752$	−1.82650	+	8.59302i	−0.0666057	+	0.313355i
$753$	−46.3300	−	7.20632i	−1.68836	−	0.262613i
$754$	−4.09397	+	9.19520i	−0.149094	+	0.334870i
$755$	5.17195	+	15.9176i	0.188226	+	0.579301i
$756$	0.411433	+	13.7416i	0.0149637	+	0.499776i
$757$	26.2442	+	19.0675i	0.953862	+	0.693021i	0.951717	−	0.306977i	$-0.0993174\pi$
$757$	26.2442	+	19.0675i	0.953862	+	0.693021i	0.00214449	+	0.999998i	$0.499317\pi$
$758$	−2.21670	−	3.83944i	−0.0805142	−	0.139455i
$759$	−1.91884	−	21.2615i	−0.0696493	−	0.771743i
$760$	−2.33777	+	4.04914i	−0.0848000	+	0.146878i
$761$	−2.53232	+	24.0934i	−0.0917964	+	0.873385i	0.847619	+	0.530605i	$0.178035\pi$
$761$	−2.53232	+	24.0934i	−0.0917964	+	0.873385i	−0.939416	+	0.342780i	$0.888631\pi$
$762$	2.54154	+	1.64050i	0.0920704	+	0.0594289i
$763$	1.07324	−	7.87399i	0.0388538	−	0.285057i
$764$	−4.59781	−	6.32834i	−0.166343	−	0.228951i
$765$	21.5492	−	15.8397i	0.779112	−	0.572687i
$766$	−3.35441	+	15.7813i	−0.121200	+	0.570200i
$767$	−6.77184	−	7.52089i	−0.244517	−	0.271564i
$768$	0.616225	−	1.61872i	0.0222361	−	0.0584107i
$769$			32.4846i			1.17142i	0.810519	+	0.585712i	$0.199185\pi$
$769$			32.4846i			1.17142i	−0.810519	+	0.585712i	$0.800815\pi$
$770$	−11.6583	+	6.79521i	−0.420136	+	0.244882i
$771$	1.56880	−	5.92045i	0.0564989	−	0.213220i
$772$	−5.05645	−	0.531454i	−0.181985	−	0.0191274i
$773$	−37.5209	+	33.7839i	−1.34953	+	1.21512i	−0.394401	+	0.918938i	$0.629048\pi$
$773$	−37.5209	+	33.7839i	−1.34953	+	1.21512i	−0.955131	+	0.296185i	$0.904285\pi$
$774$	−4.91082	+	5.51523i	−0.176516	+	0.198241i
$775$	−20.1860	−	8.98740i	−0.725103	−	0.322837i
$776$	−9.62720	+	6.99457i	−0.345596	+	0.251091i
$777$	−3.31144	−	25.5064i	−0.118797	−	0.915037i
$778$	−9.33221	−	3.03222i	−0.334576	−	0.108710i
$779$	−18.7406	−	1.96972i	−0.671452	−	0.0705724i
$780$	5.36341	−	5.39324i	0.192041	−	0.193109i
$781$	−4.62135	+	16.1145i	−0.165365	+	0.576622i
$782$	−18.6570	+	10.7716i	−0.667174	+	0.385193i
$783$	−3.01549	−	18.0651i	−0.107765	−	0.645594i
$784$	−6.55770	+	2.44878i	−0.234204	+	0.0874564i
$785$	−4.40006	+	1.42967i	−0.157045	+	0.0510270i
$786$	8.28675	+	6.67251i	0.295579	+	0.238001i
$787$	9.61482	−	1.01056i	0.342731	−	0.0360225i	0.0684007	−	0.997658i	$-0.478210\pi$
$787$	9.61482	−	1.01056i	0.342731	−	0.0360225i	0.274331	+	0.961635i	$0.411544\pi$
$788$	25.4300	+	5.40532i	0.905907	+	0.192556i
$789$	−25.2271	−	1.25196i	−0.898109	−	0.0445710i
$790$	5.12195	+	3.72132i	0.182231	+	0.132398i
$791$	−3.35936	−	45.3306i	−0.119445	−	1.61177i
$792$	−2.68980	+	9.57940i	−0.0955778	+	0.340389i
$793$	10.9566	+	18.9774i	0.389080	+	0.673906i
$794$	−28.2527	+	12.5789i	−1.00265	+	0.446408i
$795$	−2.62540	−	5.11752i	−0.0931135	−	0.181500i
$796$	12.2929	−	13.6526i	0.435709	−	0.483904i
$797$	−15.0586	−	20.7263i	−0.533401	−	0.734164i	0.454243	−	0.890878i	$-0.349910\pi$
$797$	−15.0586	−	20.7263i	−0.533401	−	0.734164i	−0.987644	+	0.156714i	$0.949910\pi$
$798$	7.91231	−	11.4683i	0.280093	−	0.405975i
$799$	−48.4352	+	15.7376i	−1.71352	+	0.556755i
$800$	−2.57760	+	0.547886i	−0.0911319	+	0.0193707i
$801$	2.89077	−	29.0529i	0.102140	−	1.02653i
$802$	−10.8227	−	6.24851i	−0.382164	−	0.220643i
$803$	20.3513	−	9.92515i	0.718183	−	0.350251i
$804$	20.0038	+	5.30059i	0.705478	+	0.186937i
$805$	13.3203	−	7.15378i	0.469480	−	0.252138i
$806$	22.7730	+	7.39940i	0.802145	+	0.260633i
$807$	−30.5308	−	46.7292i	−1.07474	−	1.64495i
$808$	−0.0630318	−	0.599707i	−0.00221745	−	0.0210976i
$809$	4.13435	+	39.3357i	0.145356	+	1.38297i	0.787466	+	0.616358i	$0.211392\pi$
$809$	4.13435	+	39.3357i	0.145356	+	1.38297i	−0.642110	+	0.766612i	$0.721941\pi$
$810$	−2.72720	+	13.5688i	−0.0958240	+	0.476759i
$811$	6.05170	+	1.96632i	0.212504	+	0.0690467i	0.413334	−	0.910579i	$-0.364364\pi$
$811$	6.05170	+	1.96632i	0.212504	+	0.0690467i	−0.200830	+	0.979626i	$0.564364\pi$
$812$	8.21571	−	4.41230i	0.288315	−	0.154841i
$813$	7.16183	−	27.0279i	0.251176	−	0.947909i
$814$	3.23310	−	18.3322i	0.113320	−	0.642543i
$815$	−29.8162	−	17.2144i	−1.04441	−	0.602993i
$816$	9.91292	−	1.59824i	0.347022	−	0.0559497i
$817$	7.32066	−	1.55605i	0.256118	−	0.0544395i
$818$	4.40134	−	1.43008i	0.153889	−	0.0500016i
$819$	−17.2210	+	14.7373i	−0.601749	+	0.514962i
$820$	5.60212	+	7.71066i	0.195634	+	0.269268i
$821$	−1.54876	+	1.72007i	−0.0540520	+	0.0600308i	−0.769564	−	0.638569i	$-0.779527\pi$
$821$	−1.54876	+	1.72007i	−0.0540520	+	0.0600308i	0.715512	+	0.698600i	$0.246193\pi$
$822$	35.5174	−	18.2212i	1.23881	−	0.635539i
$823$	−26.6972	+	11.8864i	−0.930607	+	0.414333i	−0.815328	−	0.579000i	$-0.803443\pi$
$823$	−26.6972	+	11.8864i	−0.930607	+	0.414333i	−0.115280	+	0.993333i	$0.536776\pi$
$824$	−9.97537	−	17.2779i	−0.347509	−	0.601902i
$825$	14.4644	−	4.46555i	0.503584	−	0.155471i
$826$	0.692973	+	9.35084i	0.0241116	+	0.325357i
$827$	−17.9867	−	13.0681i	−0.625459	−	0.454423i	0.229365	−	0.973341i	$-0.426335\pi$
$827$	−17.9867	−	13.0681i	−0.625459	−	0.454423i	−0.854824	+	0.518918i	$0.826335\pi$
$828$	3.38624	−	10.6219i	0.117680	−	0.369136i
$829$	29.6381	+	6.29977i	1.02937	+	0.218800i	0.691488	−	0.722388i	$-0.256955\pi$
$829$	29.6381	+	6.29977i	1.02937	+	0.218800i	0.337885	+	0.941188i	$0.390289\pi$
$830$	−1.29364	+	0.135968i	−0.0449031	+	0.00471950i
$831$	−9.29186	+	11.5398i	−0.322331	+	0.400310i
$832$	2.71588	−	0.882444i	0.0941563	−	0.0305932i
$833$	−31.3020	−	25.8248i	−1.08455	−	0.894775i
$834$	−28.5068	+	23.2155i	−0.987110	+	0.803888i
$835$	−9.50359	+	5.48690i	−0.328885	+	0.189882i
$836$	7.94647	−	6.20803i	0.274834	−	0.214709i
$837$	−41.9905	+	11.6266i	−1.45140	+	0.401872i
$838$	−18.5261	−	1.94717i	−0.639974	−	0.0672639i
$839$	−8.71380	−	2.83129i	−0.300834	−	0.0977468i	0.154711	−	0.987960i	$-0.450555\pi$
$839$	−8.71380	−	2.83129i	−0.300834	−	0.0977468i	−0.455545	+	0.890213i	$0.650555\pi$
$840$	−6.98841	+	0.907290i	−0.241123	+	0.0313045i
$841$	13.4105	−	9.74328i	0.462430	−	0.335975i
$842$	2.18991	+	0.975009i	0.0754691	+	0.0336010i
$843$	28.3999	+	14.3714i	0.978144	+	0.494977i
$844$	−9.95671	+	8.96507i	−0.342724	+	0.308590i
$845$	−7.41021	−	0.778845i	−0.254919	−	0.0267931i
$846$	13.0507	−	22.8968i	0.448693	−	0.787209i
$847$	28.8032	−	4.16828i	0.989690	−	0.143224i
$848$		−	2.15941i		−	0.0741544i
$849$	−43.0010	−	16.3699i	−1.47579	−	0.561813i
$850$	−10.2220	−	11.3527i	−0.350611	−	0.389393i
$851$	−4.33657	+	20.4020i	−0.148656	+	0.699370i
$852$	−5.49065	+	6.81897i	−0.188107	+	0.233614i
$853$	−3.55547	−	4.89368i	−0.121737	−	0.167556i	0.743799	−	0.668403i	$-0.233022\pi$
$853$	−3.55547	−	4.89368i	−0.121737	−	0.167556i	−0.865536	+	0.500847i	$0.833022\pi$
$854$	2.74191	−	20.1165i	0.0938262	−	0.688372i
$855$	10.3716	−	9.44332i	0.354702	−	0.322955i
$856$	−1.00308	+	9.54371i	−0.0342847	+	0.326197i
$857$	20.7960	−	36.0197i	0.710378	−	1.23041i	−0.254338	−	0.967115i	$-0.581857\pi$
$857$	20.7960	−	36.0197i	0.710378	−	1.23041i	0.964715	−	0.263295i	$-0.0848092\pi$
$858$	−15.0828	+	6.45107i	−0.514917	+	0.220236i
$859$	1.12045	+	1.94067i	0.0382291	+	0.0662148i	0.884507	−	0.466527i	$-0.154495\pi$
$859$	1.12045	+	1.94067i	0.0382291	+	0.0662148i	−0.846278	+	0.532742i	$0.821162\pi$
$860$	−3.06244	−	2.22500i	−0.104428	−	0.0758717i
$861$	−14.7964	−	24.2430i	−0.504260	−	0.826201i
$862$	−2.03317	−	6.25745i	−0.0692500	−	0.213130i
$863$	−1.35643	+	3.04660i	−0.0461735	+	0.103707i	−0.935159	−	0.354227i	$-0.884744\pi$
$863$	−1.35643	+	3.04660i	−0.0461735	+	0.103707i	0.888986	+	0.457935i	$0.151411\pi$
$864$	−3.23634	+	4.06523i	−0.110102	+	0.138302i
$865$	3.97896	−	18.7195i	0.135289	−	0.636484i
$866$	−8.90366	+	1.89253i	−0.302559	+	0.0643108i
$867$	18.1636	+	22.3034i	0.616867	+	0.757463i
$868$	−12.4821	−	18.3404i	−0.423669	−	0.622513i
$869$	−7.23539	−	11.5799i	−0.245444	−	0.392822i
$870$	9.06160	−	2.45500i	0.307217	−	0.0832323i
$871$	13.8773	+	31.1689i	0.470214	+	1.05612i
$872$	2.23211	−	2.00980i	0.0755889	−	0.0680605i
$873$	33.8907	−	11.2199i	1.14703	−	0.379737i
$874$	−9.14092	+	6.64127i	−0.309196	+	0.224644i
$875$	20.0668	+	23.7137i	0.678382	+	0.801669i
$876$	11.8067	−	0.651598i	0.398912	−	0.0220155i
$877$	−8.38729	−	39.4591i	−0.283219	−	1.33244i	−0.857797	−	0.513989i	$-0.828167\pi$
$877$	−8.38729	−	39.4591i	−0.283219	−	1.33244i	0.574578	−	0.818450i	$-0.305166\pi$
$878$	13.6752	+	30.7149i	0.461515	+	1.03658i
$879$	−20.0741	+	20.1858i	−0.677083	+	0.680849i
$880$	−5.02278	−	0.885826i	−0.169318	−	0.0298612i
$881$			3.97269i			0.133843i	0.997758	+	0.0669217i	$0.0213178\pi$
$881$			3.97269i			0.133843i	−0.997758	+	0.0669217i	$0.978682\pi$
$882$	20.9750	−	1.02380i	0.706266	−	0.0344732i
$883$	−1.44215	+	4.43849i	−0.0485323	+	0.149367i	−0.972386	−	0.233379i	$-0.925022\pi$
$883$	−1.44215	+	4.43849i	−0.0485323	+	0.149367i	0.923853	+	0.382746i	$0.125022\pi$
$884$	12.3025	+	11.0772i	0.413776	+	0.372566i
$885$	−1.45081	+	9.32737i	−0.0487684	+	0.313536i
$886$	34.3876	−	3.61428i	1.15527	−	0.121424i
$887$	−28.7066	+	31.8819i	−0.963874	+	1.07049i	0.0335982	+	0.999435i	$0.489303\pi$
$887$	−28.7066	+	31.8819i	−0.963874	+	1.07049i	−0.997472	+	0.0710553i	$0.977363\pi$
$888$	5.27204	−	8.16772i	0.176918	−	0.274091i
$889$	2.43232	−	3.92879i	0.0815773	−	0.131767i
$890$	14.9660			0.501661
$891$	16.4170	−	24.9295i	0.549991	−	0.835170i
$892$	−4.27490	+	7.40435i	−0.143134	+	0.247916i
$893$	−24.4009	+	10.8640i	−0.816545	+	0.363549i
$894$	−20.6900	−	1.02680i	−0.691977	−	0.0343412i
$895$	−4.31189	−	13.2706i	−0.144131	−	0.443589i
$896$	−2.48994	−	0.894551i	−0.0831829	−	0.0298848i
$897$	17.1416	−	6.63464i	0.572341	−	0.221524i
$898$	−26.0872	−	23.4890i	−0.870540	−	0.783838i
$899$	19.7764	+	21.9639i	0.659579	+	0.732537i
$900$	7.86671	+	0.782740i	0.262224	+	0.0260913i
$901$	10.8412	−	6.25919i	0.361174	−	0.208524i
$902$	−4.97219	−	19.9452i	−0.165556	−	0.664104i
$903$	8.56447	+	7.34136i	0.285008	+	0.244305i
$904$	10.0984	−	13.8992i	0.335866	−	0.462280i
$905$	2.27537	+	10.7048i	0.0756358	+	0.355839i
$906$	8.51156	−	16.8200i	0.282778	−	0.558807i
$907$	−0.400534	−	3.81083i	−0.0132995	−	0.126537i	0.985858	−	0.167585i	$-0.0535969\pi$
$907$	−0.400534	−	3.81083i	−0.0132995	−	0.126537i	−0.999157	+	0.0410485i	$0.986930\pi$
$908$	10.1738	+	4.52965i	0.337628	+	0.150322i
$909$	−0.366300	+	1.77156i	−0.0121494	+	0.0587589i
$910$	−8.39119	−	8.03610i	−0.278165	−	0.266394i
$911$	−20.2122	+	27.8197i	−0.669660	+	0.921709i	−0.999753	−	0.0222401i	$-0.992920\pi$
$911$	−20.2122	+	27.8197i	−0.669660	+	0.921709i	0.330092	+	0.943949i	$0.392920\pi$
$912$	5.08293	−	1.37708i	0.168313	−	0.0455998i
$913$	2.69672	+	0.773371i	0.0892484	+	0.0255948i
$914$	35.2181	+	20.3332i	1.16491	+	0.672561i
$915$	7.27174	−	19.1017i	0.240396	−	0.631482i
$916$	1.31718	−	4.05388i	0.0435210	−	0.133944i
$917$	9.95216	−	12.8480i	0.328649	−	0.424278i
$918$	−29.7901	−	4.46458i	−0.983220	−	0.147353i
$919$	4.90275	−	11.0117i	0.161727	−	0.363244i	−0.814446	−	0.580239i	$-0.802959\pi$
$919$	4.90275	−	11.0117i	0.161727	−	0.363244i	0.976173	+	0.216995i	$0.0696256\pi$
$920$	5.58986	+	1.18816i	0.184292	+	0.0391725i
$921$	−8.39601	+	4.30735i	−0.276658	+	0.141932i
$922$	0.534898	−	5.08922i	0.0176159	−	0.167604i
$923$	−14.4340			−0.475102
$924$	14.7076	+	3.83234i	0.483844	+	0.126075i
$925$	−14.7904			−0.486306
$926$	−2.04645	+	19.4707i	−0.0672506	+	0.639847i
$927$	12.7685	+	58.4744i	0.419372	+	1.92055i
$928$	3.44771	+	0.732833i	0.113177	+	0.0240564i
$929$	11.7342	−	26.3554i	0.384986	−	0.864694i	−0.612269	−	0.790650i	$-0.709743\pi$
$929$	11.7342	−	26.3554i	0.384986	−	0.864694i	0.997255	−	0.0740437i	$-0.0235904\pi$
$930$	−8.06161	−	20.8284i	−0.264351	−	0.682990i
$931$	−17.7428	−	11.7541i	−0.581496	−	0.385225i
$932$	8.62637	−	26.5493i	0.282566	−	0.869650i
$933$	0.333392	+	0.126918i	0.0109148	+	0.00415509i
$934$	20.5918	+	11.8887i	0.673784	+	0.389009i
$935$	−10.1116	−	27.7843i	−0.330684	−	0.908644i
$936$	−8.56682	+	0.0475113i	−0.280015	+	0.00155296i
$937$	6.99152	−	9.62300i	0.228403	−	0.314370i	−0.679399	−	0.733769i	$-0.737759\pi$
$937$	6.99152	−	9.62300i	0.228403	−	0.314370i	0.907802	+	0.419400i	$0.137759\pi$
$938$	7.51970	−	30.7034i	0.245527	−	1.00250i
$939$	−1.26858	−	22.9862i	−0.0413985	−	0.750126i
$940$	12.3416	+	5.49482i	0.402538	+	0.179221i
$941$	2.95244	+	28.0906i	0.0962467	+	0.915727i	0.930980	+	0.365071i	$0.118955\pi$
$941$	2.95244	+	28.0906i	0.0962467	+	0.915727i	−0.834733	+	0.550655i	$0.814378\pi$
$942$	4.64951	+	2.35282i	0.151489	+	0.0766592i
$943$	4.78864	+	22.5288i	0.155940	+	0.733638i
$944$	−2.08310	+	2.86714i	−0.0677991	+	0.0933174i
$945$	20.8015	+	3.77466i	0.676672	+	0.122790i
$946$	4.32608	+	6.92370i	0.140653	+	0.225109i
$947$	10.4876	−	6.05504i	0.340803	−	0.196763i	−0.319824	−	0.947477i	$-0.603624\pi$
$947$	10.4876	−	6.05504i	0.340803	−	0.196763i	0.660627	+	0.750714i	$0.270291\pi$
$948$	−1.13503	−	7.03992i	−0.0368642	−	0.228646i
$949$	13.0450	+	14.4880i	0.423459	+	0.470299i
$950$	−5.95414	−	5.36113i	−0.193178	−	0.173938i
$951$	−10.5218	−	27.1847i	−0.341193	−	0.881525i
$952$	−2.72618	−	15.0936i	−0.0883562	−	0.489185i
$953$	13.8596	+	42.6554i	0.448956	+	1.38174i	0.878087	+	0.478501i	$0.158820\pi$
$953$	13.8596	+	42.6554i	0.448956	+	1.38174i	−0.429131	+	0.903242i	$0.641180\pi$
$954$	−1.96768	+	6.17217i	−0.0637061	+	0.199831i
$955$	−10.9891	+	4.89265i	−0.355598	+	0.158322i
$956$	−11.2783	+	19.5346i	−0.364767	+	0.631795i
$957$	−20.1038	−	2.41256i	−0.649864	−	0.0779870i
$958$	−10.2139			−0.329998
$959$	−28.8505	−	53.7197i	−0.931633	−	1.73470i
$960$	−2.23785	−	1.44447i	−0.0722262	−	0.0466200i
$961$	26.3037	−	29.2132i	0.848507	−	0.942362i
$962$	15.9400	−	1.67536i	0.513926	−	0.0540158i
$963$	11.5634	−	26.3644i	0.372626	−	0.849582i
$964$	8.76884	+	7.89549i	0.282425	+	0.254297i
$965$	−2.41608	+	7.43594i	−0.0777765	+	0.239371i
$966$	−16.3197	−	4.86599i	−0.525079	−	0.156561i
$967$		−	42.3317i		−	1.36129i	−0.732611	−	0.680647i	$-0.761699\pi$
$967$		−	42.3317i		−	1.36129i	0.732611	−	0.680647i	$-0.238301\pi$
$968$	9.32813	+	5.82974i	0.299818	+	0.187375i
$969$	21.6468	+	21.5271i	0.695396	+	0.691550i
$970$	7.44311	+	16.7175i	0.238984	+	0.536766i
$971$	0.103111	+	0.485100i	0.00330900	+	0.0155676i	0.979771	−	0.200121i	$-0.0641336\pi$
$971$	0.103111	+	0.485100i	0.00330900	+	0.0155676i	−0.976462	+	0.215689i	$0.930800\pi$
$972$	12.9546	−	8.67052i	0.415519	−	0.278107i
$973$	36.2764	+	42.8691i	1.16297	+	1.37432i
$974$	14.7412	−	10.7101i	0.472339	−	0.343175i
$975$	7.12909	+	10.9115i	0.228314	+	0.349447i
$976$	5.70261	−	5.13466i	0.182536	−	0.164356i
$977$	−5.55445	−	12.4755i	−0.177702	−	0.399126i	0.802631	−	0.596476i	$-0.203433\pi$
$977$	−5.55445	−	12.4755i	−0.177702	−	0.399126i	−0.980333	+	0.197350i	$0.936766\pi$
$978$	10.1403	+	37.4285i	0.324250	+	1.19683i
$979$	−29.9270	−	12.0925i	−0.956471	−	0.386477i
$980$	1.58677	+	10.6470i	0.0506874	+	0.340105i
$981$	−8.21134	+	3.71062i	−0.262168	+	0.118471i
$982$	39.8030	−	8.46038i	1.27016	−	0.269982i
$983$	11.7639	−	55.3450i	0.375212	−	1.76523i	−0.234012	−	0.972234i	$-0.575185\pi$
$983$	11.7639	−	55.3450i	0.375212	−	1.76523i	0.609224	−	0.792999i	$-0.291481\pi$
$984$	1.64989	−	10.6073i	0.0525966	−	0.338148i
$985$	16.2613	−	36.5234i	0.518127	−	1.16373i
$986$	6.31426	+	19.4333i	0.201087	+	0.618882i
$987$	−35.3448	−	19.2729i	−1.12504	−	0.613462i
$988$	7.02420	+	5.10338i	0.223469	+	0.162360i
$989$	−4.57383	−	7.92211i	−0.145439	−	0.251908i
$990$	13.5493	+	7.10875i	0.430624	+	0.225931i
$991$	10.9736	−	19.0068i	0.348588	−	0.603772i	−0.637411	−	0.770524i	$-0.719995\pi$
$991$	10.9736	−	19.0068i	0.348588	−	0.603772i	0.985999	+	0.166752i	$0.0533280\pi$
$992$	0.876484	−	8.33919i	0.0278284	−	0.264769i
$993$	−4.87657	+	7.55504i	−0.154753	+	0.239752i
$994$	10.5723	+	8.18939i	0.335333	+	0.259752i
$995$	−16.6058	−	22.8559i	−0.526439	−	0.724581i
$996$	1.14114	+	0.918847i	0.0361583	+	0.0291148i
$997$	1.91129	−	8.99194i	0.0605313	−	0.284777i	−0.937463	−	0.348086i	$-0.886832\pi$
$997$	1.91129	−	8.99194i	0.0605313	−	0.284777i	0.997994	+	0.0633083i	$0.0201651\pi$
$998$	24.4819	+	27.1899i	0.774961	+	0.860681i
$999$	−22.5114	+	18.5416i	−0.712230	+	0.586630i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.bc.b.95.7	yes	128
3.2	odd	2		462.2.bc.a.95.3	✓	128
7.2	even	3	inner	462.2.bc.b.359.15	yes	128
11.8	odd	10		462.2.bc.a.305.14	yes	128
21.2	odd	6		462.2.bc.a.359.14	yes	128
33.8	even	10	inner	462.2.bc.b.305.15	yes	128
77.30	odd	30		462.2.bc.a.107.3	yes	128
231.107	even	30	inner	462.2.bc.b.107.7	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.bc.a.95.3	✓	128	3.2	odd	2
462.2.bc.a.107.3	yes	128	77.30	odd	30
462.2.bc.a.305.14	yes	128	11.8	odd	10
462.2.bc.a.359.14	yes	128	21.2	odd	6
462.2.bc.b.95.7	yes	128	1.1	even	1	trivial
462.2.bc.b.107.7	yes	128	231.107	even	30	inner
462.2.bc.b.305.15	yes	128	33.8	even	10	inner
462.2.bc.b.359.15	yes	128	7.2	even	3	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.bc (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.104528 + 0.994522i) q^{2} +(-0.790611 - 1.54108i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.625478 + 1.40485i) q^{5} +(1.61528 - 0.625193i) q^{6} +(-1.00131 - 2.44895i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.74987 + 2.43679i) q^{9} +O(q^{10})\)	\(q+(-0.104528 + 0.994522i) q^{2} +(-0.790611 - 1.54108i) q^{3} +(-0.978148 - 0.207912i) q^{4} +(-0.625478 + 1.40485i) q^{5} +(1.61528 - 0.625193i) q^{6} +(-1.00131 - 2.44895i) q^{7} +(0.309017 - 0.951057i) q^{8} +(-1.74987 + 2.43679i) q^{9} +(-1.33177 - 0.768898i) q^{10} +(2.04183 + 2.61361i) q^{11} +(0.452925 + 1.67178i) q^{12} +(-1.67851 + 2.31027i) q^{13} +(2.54020 - 0.739841i) q^{14} +(2.65949 - 0.146774i) q^{15} +(0.913545 + 0.406737i) q^{16} +(0.605966 + 5.76538i) q^{17} +(-2.24053 - 1.99500i) q^{18} +(0.632140 + 2.97398i) q^{19} +(0.903893 - 1.24410i) q^{20} +(-2.98239 + 3.47927i) q^{21} +(-2.81272 + 1.75745i) q^{22} +(3.21832 - 1.85810i) q^{23} +(-1.70997 + 0.275695i) q^{24} +(1.76328 + 1.95832i) q^{25} +(-2.12216 - 1.91080i) q^{26} +(5.13876 + 0.770136i) q^{27} +(0.470264 + 2.60362i) q^{28} +(-1.08920 - 3.35222i) q^{29} +(-0.132023 + 2.66027i) q^{30} +(-7.66019 + 3.41054i) q^{31} +(-0.500000 + 0.866025i) q^{32} +(2.41349 - 5.21297i) q^{33} -5.79714 q^{34} +(4.06670 + 0.125078i) q^{35} +(2.21827 - 2.01973i) q^{36} +(-3.75561 + 4.17102i) q^{37} +(-3.02377 + 0.317811i) q^{38} +(4.88736 + 0.760196i) q^{39} +(1.14280 + 1.02899i) q^{40} +(-1.91521 + 5.89442i) q^{41} +(-3.14847 - 3.32974i) q^{42} -2.46157i q^{43} +(-1.45381 - 2.98101i) q^{44} +(-2.32882 - 3.98246i) q^{45} +(1.51151 + 3.39491i) q^{46} +(1.82650 + 8.59302i) q^{47} +(-0.0954445 - 1.72942i) q^{48} +(-4.99475 + 4.90433i) q^{49} +(-2.13191 + 1.54892i) q^{50} +(8.40584 - 5.49201i) q^{51} +(2.12216 - 1.91080i) q^{52} +(-0.878311 - 1.97272i) q^{53} +(-1.30306 + 5.03011i) q^{54} +(-4.94883 + 1.23370i) q^{55} +(-2.63852 + 0.195535i) q^{56} +(4.08338 - 3.32544i) q^{57} +(3.44771 - 0.732833i) q^{58} +(-0.736835 + 3.46653i) q^{59} +(-2.63189 - 0.409373i) q^{60} +(3.12114 - 7.01020i) q^{61} +(-2.59115 - 7.97472i) q^{62} +(7.71976 + 1.84536i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(-2.19570 - 3.80307i) q^{65} +(4.93214 + 2.94517i) q^{66} +(5.97388 - 10.3471i) q^{67} +(0.605966 - 5.76538i) q^{68} +(-5.40792 - 3.49066i) q^{69} +(-0.549479 + 4.03135i) q^{70} +(2.97099 + 4.08922i) q^{71} +(1.77679 + 2.41723i) q^{72} +(1.41941 - 6.67780i) q^{73} +(-3.75561 - 4.17102i) q^{74} +(1.62387 - 4.26564i) q^{75} -3.04042i q^{76} +(4.35609 - 7.61738i) q^{77} +(-1.26690 + 4.78113i) q^{78} +(-4.09443 - 0.430342i) q^{79} +(-1.14280 + 1.02899i) q^{80} +(-2.87592 - 8.52813i) q^{81} +(-5.66194 - 2.52086i) q^{82} +(0.684321 - 0.497188i) q^{83} +(3.64060 - 2.78317i) q^{84} +(-8.47849 - 2.75483i) q^{85} +(2.44808 + 0.257304i) q^{86} +(-4.30491 + 4.32885i) q^{87} +(3.11665 - 1.13425i) q^{88} +(-8.42825 + 4.86605i) q^{89} +(4.20407 - 1.89978i) q^{90} +(7.33845 + 1.79729i) q^{91} +(-3.53431 + 1.14837i) q^{92} +(11.3121 + 9.10857i) q^{93} +(-8.73687 + 0.918282i) q^{94} +(-4.57338 - 0.972101i) q^{95} +(1.72992 + 0.0858519i) q^{96} +(-9.62720 - 6.99457i) q^{97} +(-4.35537 - 5.48003i) q^{98} +(-9.94175 + 0.402050i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9}+O(q^{10}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9	\( 128 q + 16 q^{2} + 16 q^{4} - 32 q^{8} + 16 q^{9} - 6 q^{11} - 12 q^{15} + 16 q^{16} - 2 q^{17} - 4 q^{18} + 2 q^{22} - 12 q^{25} - 18 q^{27} - 5 q^{28} + 38 q^{29} + 6 q^{30} - 3 q^{31} - 64 q^{32} + 28 q^{33} - 16 q^{34} - 31 q^{35} + 8 q^{36} + 2 q^{37} - 2 q^{39} + 5 q^{40} + 16 q^{41} - 13 q^{42} - q^{44} + 28 q^{45} + 38 q^{49} + 34 q^{50} + 4 q^{51} + 25 q^{53} - 6 q^{54} - 42 q^{55} - 100 q^{57} - 19 q^{58} + 40 q^{59} - 4 q^{60} + 40 q^{61} - 4 q^{62} - 106 q^{63} - 32 q^{64} + 20 q^{65} - 7 q^{66} + 16 q^{67} - 2 q^{68} - 68 q^{69} - 21 q^{70} + 80 q^{71} - 4 q^{72} + 10 q^{73} + 2 q^{74} - 14 q^{75} + q^{77} - 16 q^{78} - 5 q^{80} + 32 q^{81} - 8 q^{82} - 92 q^{83} + 8 q^{84} - 100 q^{85} - 40 q^{86} - 38 q^{87} - q^{88} + 4 q^{90} + 12 q^{91} - 20 q^{92} - 33 q^{93} + 40 q^{94} + 38 q^{95} - 16 q^{97} + 18 q^{98} + 2 q^{99}+O(q^{100}) \) 128 * q + 16 * q^2 + 16 * q^4 - 32 * q^8 + 16 * q^9 - 6 * q^11 - 12 * q^15 + 16 * q^16 - 2 * q^17 - 4 * q^18 + 2 * q^22 - 12 * q^25 - 18 * q^27 - 5 * q^28 + 38 * q^29 + 6 * q^30 - 3 * q^31 - 64 * q^32 + 28 * q^33 - 16 * q^34 - 31 * q^35 + 8 * q^36 + 2 * q^37 - 2 * q^39 + 5 * q^40 + 16 * q^41 - 13 * q^42 - q^44 + 28 * q^45 + 38 * q^49 + 34 * q^50 + 4 * q^51 + 25 * q^53 - 6 * q^54 - 42 * q^55 - 100 * q^57 - 19 * q^58 + 40 * q^59 - 4 * q^60 + 40 * q^61 - 4 * q^62 - 106 * q^63 - 32 * q^64 + 20 * q^65 - 7 * q^66 + 16 * q^67 - 2 * q^68 - 68 * q^69 - 21 * q^70 + 80 * q^71 - 4 * q^72 + 10 * q^73 + 2 * q^74 - 14 * q^75 + q^77 - 16 * q^78 - 5 * q^80 + 32 * q^81 - 8 * q^82 - 92 * q^83 + 8 * q^84 - 100 * q^85 - 40 * q^86 - 38 * q^87 - q^88 + 4 * q^90 + 12 * q^91 - 20 * q^92 - 33 * q^93 + 40 * q^94 + 38 * q^95 - 16 * q^97 + 18 * q^98 + 2 * q^99

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