LMFDB - Embedded newform 930.2.bo.a.179.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(179,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([15, 15, 13]))

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

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

chi := DirichletCharacter("930.179");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bo (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:	$7.42608738798$
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			179.7
Character	$\chi$	$=$	930.179
Dual form			930.2.bo.a.239.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.309017 + 0.951057i) q^{2} +(-1.41936 + 0.992677i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.50750 + 1.65150i) q^{5} +(-1.38270 - 1.04314i) q^{6} +(0.732525 - 1.64528i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.02919 - 2.81794i) q^{9} +O(q^{10})$	\(q+(0.309017 + 0.951057i) q^{2} +(-1.41936 + 0.992677i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.50750 + 1.65150i) q^{5} +(-1.38270 - 1.04314i) q^{6} +(0.732525 - 1.64528i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.02919 - 2.81794i) q^{9} +(-2.03651 - 0.923374i) q^{10} +(-0.402829 - 3.83266i) q^{11} +(0.564809 - 1.63737i) q^{12} +(2.06647 + 2.29504i) q^{13} +(1.79111 + 0.188254i) q^{14} +(0.500282 - 3.84054i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-5.90148 - 0.620270i) q^{17} +(2.99805 + 0.108023i) q^{18} +(-0.782266 + 0.868795i) q^{19} +(0.248864 - 2.22218i) q^{20} +(0.593510 + 3.06241i) q^{21} +(3.52060 - 1.56747i) q^{22} +(4.85729 - 6.68549i) q^{23} +(1.73177 + 0.0311887i) q^{24} +(-0.454901 - 4.97926i) q^{25} +(-1.54414 + 2.67453i) q^{26} +(1.33651 + 5.02133i) q^{27} +(0.374445 + 1.76162i) q^{28} +(-2.63536 - 8.11079i) q^{29} +(3.80716 - 0.710994i) q^{30} +(5.56729 + 0.0730395i) q^{31} +1.00000 q^{32} +(4.37636 + 5.04006i) q^{33} +(-1.23374 - 5.80431i) q^{34} +(1.61290 + 3.69002i) q^{35} +(0.823714 + 2.88470i) q^{36} +(1.84350 + 3.19304i) q^{37} +(-1.06801 - 0.475507i) q^{38} +(-5.21130 - 1.20617i) q^{39} +(2.19032 - 0.450006i) q^{40} +(0.110410 - 0.519436i) q^{41} +(-2.72912 + 1.51080i) q^{42} +(2.34019 - 2.59904i) q^{43} +(2.57868 + 2.86391i) q^{44} +(3.10233 + 5.94774i) q^{45} +(7.85926 + 2.55363i) q^{46} +(-1.91975 + 5.90838i) q^{47} +(0.505484 + 1.65665i) q^{48} +(2.51357 + 2.79160i) q^{49} +(4.59499 - 1.97131i) q^{50} +(8.99207 - 4.97787i) q^{51} +(-3.02080 - 0.642091i) q^{52} +(1.57483 + 3.53713i) q^{53} +(-4.36256 + 2.82277i) q^{54} +(6.93691 + 5.11246i) q^{55} +(-1.55970 + 0.900490i) q^{56} +(0.247888 - 2.00967i) q^{57} +(6.89945 - 5.01274i) q^{58} +(2.74219 + 12.9010i) q^{59} +(1.85267 + 3.40112i) q^{60} -3.36563i q^{61} +(1.65092 + 5.31737i) q^{62} +(-3.88239 - 3.75751i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-6.90546 - 0.0470047i) q^{65} +(-3.44102 + 5.71963i) q^{66} +(-0.673996 - 0.389132i) q^{67} +(5.13898 - 2.96699i) q^{68} +(-0.257734 + 14.3109i) q^{69} +(-3.01100 + 2.67423i) q^{70} +(-5.55674 - 12.4806i) q^{71} +(-2.48897 + 1.67482i) q^{72} +(-1.17645 - 11.1932i) q^{73} +(-2.46709 + 2.73998i) q^{74} +(5.58847 + 6.61582i) q^{75} +(0.122202 - 1.16267i) q^{76} +(-6.60088 - 2.14476i) q^{77} +(-0.463247 - 5.32897i) q^{78} +(7.08955 + 0.745142i) q^{79} +(1.10483 + 1.94406i) q^{80} +(-6.88155 - 5.80036i) q^{81} +(0.528132 - 0.0555089i) q^{82} +(0.717676 - 3.37640i) q^{83} +(-2.28020 - 2.12868i) q^{84} +(9.92084 - 8.81123i) q^{85} +(3.19499 + 1.42250i) q^{86} +(11.7919 + 8.89610i) q^{87} +(-1.92689 + 3.33747i) q^{88} +(-0.819155 + 0.595151i) q^{89} +(-4.69796 + 4.78844i) q^{90} +(5.28972 - 1.71873i) q^{91} +8.26372i q^{92} +(-7.97451 + 5.42284i) q^{93} -6.21244 q^{94} +(-0.255549 - 2.60162i) q^{95} +(-1.41936 + 0.992677i) q^{96} +(-10.1470 - 13.9662i) q^{97} +(-1.87823 + 3.25320i) q^{98} +(-11.2148 - 2.80938i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) $ 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9	$ 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) $ 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9 - 2 * q^10 + 20 * q^15 - 64 * q^16 - 6 * q^17 - 6 * q^18 - 4 * q^19 + 3 * q^20 + 20 * q^23 - 2 * q^25 + 42 * q^31 + 256 * q^32 + 8 * q^33 + 14 * q^34 - 16 * q^35 + 4 * q^36 + 36 * q^38 + 8 * q^39 + 3 * q^40 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * q^60 + 2 * q^62 - 72 * q^63 - 64 * q^64 + 8 * q^66 - 6 * q^68 + 10 * q^69 - 16 * q^70 - 6 * q^72 - 2 * q^75 - 24 * q^76 + 100 * q^77 + 8 * q^78 + 40 * q^79 - 2 * q^80 + 12 * q^81 - 26 * q^83 - 30 * q^85 + 16 * q^87 - 49 * q^90 - 20 * q^91 - 22 * q^93 + 4 * q^94 + 56 * q^95 + 130 * q^98 + 102 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{13}{30}\right)$

Coefficient data

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

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

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

$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$2$	0.309017	+	0.951057i	0.218508	+	0.672499i
$3$	−1.41936	+	0.992677i	−0.819470	+	0.573122i
$3$	−1.41936	+	0.992677i	−0.819470	+	0.573122i
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−1.50750	+	1.65150i	−0.674173	+	0.738573i
$5$	−1.50750	+	1.65150i	−0.674173	+	0.738573i
$6$	−1.38270	−	1.04314i	−0.564485	−	0.425861i
$7$	0.732525	−	1.64528i	0.276868	−	0.621857i	−0.720570	−	0.693382i	$-0.756120\pi$
$7$	0.732525	−	1.64528i	0.276868	−	0.621857i	0.997439	+	0.0715252i	$0.0227866\pi$
$8$	−0.809017	−	0.587785i	−0.286031	−	0.207813i
$9$	1.02919	−	2.81794i	0.343062	−	0.939313i
$10$	−2.03651	−	0.923374i	−0.644002	−	0.291997i
$11$	−0.402829	−	3.83266i	−0.121458	−	1.15559i	−0.870189	−	0.492718i	$-0.836003\pi$
$11$	−0.402829	−	3.83266i	−0.121458	−	1.15559i	0.748731	−	0.662873i	$-0.230663\pi$
$12$	0.564809	−	1.63737i	0.163046	−	0.472669i
$13$	2.06647	+	2.29504i	0.573135	+	0.636530i	0.958111	−	0.286396i	$-0.0924572\pi$
$13$	2.06647	+	2.29504i	0.573135	+	0.636530i	−0.384977	+	0.922926i	$0.625791\pi$
$14$	1.79111	+	0.188254i	0.478696	+	0.0503129i
$15$	0.500282	−	3.84054i	0.129172	−	0.991622i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−5.90148	−	0.620270i	−1.43132	−	0.150438i	−0.643076	−	0.765802i	$-0.722342\pi$
$17$	−5.90148	−	0.620270i	−1.43132	−	0.150438i	−0.788243	+	0.615365i	$0.789009\pi$
$18$	2.99805	+	0.108023i	0.706648	+	0.0254613i
$19$	−0.782266	+	0.868795i	−0.179464	+	0.199315i	−0.826164	−	0.563429i	$-0.809482\pi$
$19$	−0.782266	+	0.868795i	−0.179464	+	0.199315i	0.646700	+	0.762744i	$0.276148\pi$
$20$	0.248864	−	2.22218i	0.0556477	−	0.496894i
$21$	0.593510	+	3.06241i	0.129514	+	0.668272i
$22$	3.52060	−	1.56747i	0.750594	−	0.334186i
$23$	4.85729	−	6.68549i	1.01282	−	1.39402i	0.0956943	−	0.995411i	$-0.469493\pi$
$23$	4.85729	−	6.68549i	1.01282	−	1.39402i	0.917121	−	0.398609i	$-0.130507\pi$
$24$	1.73177	+	0.0311887i	0.353496	+	0.00636636i
$25$	−0.454901	−	4.97926i	−0.0909802	−	0.995853i
$26$	−1.54414	+	2.67453i	−0.302831	+	0.524519i
$27$	1.33651	+	5.02133i	0.257212	+	0.966355i
$28$	0.374445	+	1.76162i	0.0707634	+	0.332916i
$29$	−2.63536	−	8.11079i	−0.489373	−	1.50614i	−0.825546	−	0.564335i	$-0.809133\pi$
$29$	−2.63536	−	8.11079i	−0.489373	−	1.50614i	0.336172	−	0.941800i	$-0.390867\pi$
$30$	3.80716	−	0.710994i	0.695090	−	0.129809i
$31$	5.56729	+	0.0730395i	0.999914	+	0.0131183i
$31$	5.56729	+	0.0730395i	0.999914	+	0.0131183i
$32$	1.00000			0.176777
$33$	4.37636	+	5.04006i	0.761826	+	0.877362i
$34$	−1.23374	−	5.80431i	−0.211585	−	0.995431i
$35$	1.61290	+	3.69002i	0.272629	+	0.623727i
$36$	0.823714	+	2.88470i	0.137286	+	0.480783i
$37$	1.84350	+	3.19304i	0.303070	+	0.524933i	0.976830	−	0.214018i	$-0.0686550\pi$
$37$	1.84350	+	3.19304i	0.303070	+	0.524933i	−0.673760	+	0.738951i	$0.735322\pi$
$38$	−1.06801	−	0.475507i	−0.173253	−	0.0771374i
$39$	−5.21130	−	1.20617i	−0.834476	−	0.193141i
$40$	2.19032	−	0.450006i	0.346320	−	0.0711522i
$41$	0.110410	−	0.519436i	0.0172431	−	0.0811223i	−0.968685	−	0.248294i	$-0.920130\pi$
$41$	0.110410	−	0.519436i	0.0172431	−	0.0811223i	0.985928	+	0.167172i	$0.0534634\pi$
$42$	−2.72912	+	1.51080i	−0.421112	+	0.233121i
$43$	2.34019	−	2.59904i	0.356875	−	0.396350i	−0.537796	−	0.843075i	$-0.680743\pi$
$43$	2.34019	−	2.59904i	0.356875	−	0.396350i	0.894671	+	0.446725i	$0.147410\pi$
$44$	2.57868	+	2.86391i	0.388750	+	0.431751i
$45$	3.10233	+	5.94774i	0.462468	+	0.886636i
$46$	7.85926	+	2.55363i	1.15878	+	0.376512i
$47$	−1.91975	+	5.90838i	−0.280024	+	0.861826i	0.707822	+	0.706391i	$0.249678\pi$
$47$	−1.91975	+	5.90838i	−0.280024	+	0.861826i	−0.987846	+	0.155435i	$0.950322\pi$
$48$	0.505484	+	1.65665i	0.0729604	+	0.239117i
$49$	2.51357	+	2.79160i	0.359081	+	0.398800i
$50$	4.59499	−	1.97131i	0.649830	−	0.278786i
$51$	8.99207	−	4.97787i	1.25914	−	0.697041i
$52$	−3.02080	−	0.642091i	−0.418909	−	0.0890420i
$53$	1.57483	+	3.53713i	0.216320	+	0.485863i	0.988813	−	0.149161i	$-0.0476571\pi$
$53$	1.57483	+	3.53713i	0.216320	+	0.485863i	−0.772493	+	0.635023i	$0.780990\pi$
$54$	−4.36256	+	2.82277i	−0.593669	+	0.384131i
$55$	6.93691	+	5.11246i	0.935372	+	0.689364i
$56$	−1.55970	+	0.900490i	−0.208423	+	0.120333i
$57$	0.247888	−	2.00967i	0.0328336	−	0.266188i
$58$	6.89945	−	5.01274i	0.905942	−	0.658205i
$59$	2.74219	+	12.9010i	0.357003	+	1.67956i	0.680037	+	0.733178i	$0.261964\pi$
$59$	2.74219	+	12.9010i	0.357003	+	1.67956i	−0.323035	+	0.946387i	$0.604703\pi$
$60$	1.85267	+	3.40112i	0.239179	+	0.439082i
$61$		−	3.36563i		−	0.430924i	−0.976512	−	0.215462i	$-0.930874\pi$
$61$		−	3.36563i		−	0.430924i	0.976512	−	0.215462i	$-0.0691258\pi$
$62$	1.65092	+	5.31737i	0.209667	+	0.675307i
$63$	−3.88239	−	3.75751i	−0.489135	−	0.473401i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−6.90546	−	0.0470047i	−0.856516	−	0.00583021i
$66$	−3.44102	+	5.71963i	−0.423560	+	0.704038i
$67$	−0.673996	−	0.389132i	−0.0823417	−	0.0475400i	0.458264	−	0.888816i	$-0.348471\pi$
$67$	−0.673996	−	0.389132i	−0.0823417	−	0.0475400i	−0.540606	+	0.841276i	$0.681805\pi$
$68$	5.13898	−	2.96699i	0.623193	−	0.359801i
$69$	−0.257734	+	14.3109i	−0.0310276	+	1.72282i
$70$	−3.01100	+	2.67423i	−0.359884	+	0.319632i
$71$	−5.55674	−	12.4806i	−0.659464	−	1.48118i	−0.864607	−	0.502448i	$-0.832433\pi$
$71$	−5.55674	−	12.4806i	−0.659464	−	1.48118i	0.205143	−	0.978732i	$-0.434234\pi$
$72$	−2.48897	+	1.67482i	−0.293328	+	0.197379i
$73$	−1.17645	−	11.1932i	−0.137693	−	1.31006i	−0.817184	−	0.576377i	$-0.804466\pi$
$73$	−1.17645	−	11.1932i	−0.137693	−	1.31006i	0.679491	−	0.733684i	$-0.262201\pi$
$74$	−2.46709	+	2.73998i	−0.286793	+	0.318516i
$75$	5.58847	+	6.61582i	0.645301	+	0.763929i
$76$	0.122202	−	1.16267i	0.0140175	−	0.133368i
$77$	−6.60088	−	2.14476i	−0.752240	−	0.244418i
$78$	−0.463247	−	5.32897i	−0.0524524	−	0.603387i
$79$	7.08955	+	0.745142i	0.797637	+	0.0838350i	0.494574	−	0.869136i	$-0.335324\pi$
$79$	7.08955	+	0.745142i	0.797637	+	0.0838350i	0.303063	+	0.952971i	$0.401991\pi$
$80$	1.10483	+	1.94406i	0.123523	+	0.217352i
$81$	−6.88155	−	5.80036i	−0.764617	−	0.644485i
$82$	0.528132	−	0.0555089i	0.0583224	−	0.00612993i
$83$	0.717676	−	3.37640i	0.0787752	−	0.370608i	−0.921047	−	0.389451i	$-0.872665\pi$
$83$	0.717676	−	3.37640i	0.0787752	−	0.370608i	0.999822	+	0.0188428i	$0.00599819\pi$
$84$	−2.28020	−	2.12868i	−0.248790	−	0.232258i
$85$	9.92084	−	8.81123i	1.07607	−	0.955712i
$86$	3.19499	+	1.42250i	0.344525	+	0.153392i
$87$	11.7919	+	8.89610i	1.26423	+	0.953762i
$88$	−1.92689	+	3.33747i	−0.205407	+	0.355775i
$89$	−0.819155	+	0.595151i	−0.0868303	+	0.0630859i	−0.630353	−	0.776308i	$-0.717090\pi$
$89$	−0.819155	+	0.595151i	−0.0868303	+	0.0630859i	0.543523	+	0.839394i	$0.317090\pi$
$90$	−4.69796	+	4.78844i	−0.495209	+	0.504746i
$91$	5.28972	−	1.71873i	0.554513	−	0.180172i
$92$			8.26372i			0.861552i
$93$	−7.97451	+	5.42284i	−0.826918	+	0.562323i
$94$	−6.21244			−0.640764
$95$	−0.255549	−	2.60162i	−0.0262188	−	0.266920i
$96$	−1.41936	+	0.992677i	−0.144863	+	0.101315i
$97$	−10.1470	−	13.9662i	−1.03028	−	1.41805i	−0.904741	−	0.425963i	$-0.859935\pi$
$97$	−10.1470	−	13.9662i	−1.03028	−	1.41805i	−0.125535	−	0.992089i	$-0.540065\pi$
$98$	−1.87823	+	3.25320i	−0.189730	+	0.328623i
$99$	−11.2148	−	2.80938i	−1.12713	−	0.282353i
$100$	3.29476	+	3.76092i	0.329476	+	0.376092i
$101$	6.88871	−	9.48150i	0.685452	−	0.943444i	−0.314531	−	0.949247i	$-0.601847\pi$
$101$	6.88871	−	9.48150i	0.685452	−	0.943444i	0.999983	+	0.00580290i	$0.00184713\pi$
$102$	7.51294	+	7.01372i	0.743892	+	0.694462i
$103$	0.817120	−	3.84425i	0.0805132	−	0.378785i	−0.919380	−	0.393370i	$-0.871309\pi$
$103$	0.817120	−	3.84425i	0.0805132	−	0.378785i	0.999894	+	0.0145846i	$0.00464259\pi$
$104$	−0.322814	−	3.07137i	−0.0316545	−	0.301172i
$105$	−5.95228	−	3.63639i	−0.580883	−	0.354875i
$106$	−2.87736	+	2.59079i	−0.279474	+	0.251640i
$107$	0.169212	−	1.60995i	0.0163584	−	0.155640i	−0.983293	−	0.182028i	$-0.941734\pi$
$107$	0.169212	−	1.60995i	0.0163584	−	0.155640i	0.999652	+	0.0263882i	$0.00840059\pi$
$108$	−4.03272	−	3.27676i	−0.388049	−	0.315306i
$109$	5.96871	−	18.3698i	0.571699	−	1.75951i	−0.0754564	−	0.997149i	$-0.524041\pi$
$109$	5.96871	−	18.3698i	0.571699	−	1.75951i	0.647155	−	0.762358i	$-0.275959\pi$
$110$	−2.71862	+	8.17723i	−0.259210	+	0.779668i
$111$	−5.78626	−	2.70208i	−0.549208	−	0.256471i
$112$	−1.33839	−	1.20509i	−0.126466	−	0.113870i
$113$	−1.47944	−	14.0759i	−0.139174	−	1.32415i	−0.811699	−	0.584076i	$-0.801457\pi$
$113$	−1.47944	−	14.0759i	−0.139174	−	1.32415i	0.672525	−	0.740075i	$-0.265210\pi$
$114$	1.98791	−	0.385268i	0.186185	−	0.0360836i
$115$	3.71872	+	18.1002i	0.346773	+	1.68785i
$116$	6.89945	+	5.01274i	0.640598	+	0.465422i
$117$	8.59407	−	3.46115i	0.794522	−	0.319983i
$118$	−11.4222	+	6.59460i	−1.05150	+	0.607082i
$119$	−5.34350	+	9.25521i	−0.489837	+	0.848423i
$120$	−2.66215	+	2.81300i	−0.243020	+	0.256791i
$121$	−3.76741	+	0.800788i	−0.342492	+	0.0727989i
$122$	3.20090	−	1.04004i	0.289796	−	0.0941604i
$123$	0.358921	+	0.846870i	0.0323628	+	0.0763597i
$124$	−4.54696	+	3.21328i	−0.408329	+	0.288561i
$125$	8.90901	+	6.75496i	0.796846	+	0.604182i
$126$	2.37388	−	4.85350i	0.211482	−	0.432384i
$127$	−10.4069	+	2.21205i	−0.923462	+	0.196288i	−0.645021	−	0.764165i	$-0.723151\pi$
$127$	−10.4069	+	2.21205i	−0.923462	+	0.196288i	−0.278442	+	0.960453i	$0.589818\pi$
$128$	−0.809017	+	0.587785i	−0.0715077	+	0.0519534i
$129$	−0.741569	+	6.01203i	−0.0652915	+	0.529330i
$130$	−2.08920	−	6.58200i	−0.183235	−	0.577280i
$131$	3.18746	−	7.15915i	0.278490	−	0.625498i	−0.719098	−	0.694908i	$-0.755445\pi$
$131$	3.18746	−	7.15915i	0.278490	−	0.625498i	0.997588	+	0.0694100i	$0.0221117\pi$
$132$	−6.50302	−	1.50514i	−0.566015	−	0.131006i
$133$	0.856379	+	1.92346i	0.0742575	+	0.166785i
$134$	0.161810	−	0.761257i	0.0139783	−	0.0657626i
$135$	−10.3075	−	5.36239i	−0.887129	−	0.461521i
$136$	4.40981	+	3.97061i	0.378138	+	0.340477i
$137$	0.200639	−	0.180656i	0.0171417	−	0.0154345i	−0.660515	−	0.750813i	$-0.729662\pi$
$137$	0.200639	−	0.180656i	0.0171417	−	0.0154345i	0.677657	+	0.735378i	$0.262995\pi$
$138$	−13.6901	+	4.17718i	−1.16538	+	0.355585i
$139$	−10.2990	−	3.34634i	−0.873547	−	0.283833i	−0.162272	−	0.986746i	$-0.551882\pi$
$139$	−10.2990	−	3.34634i	−0.873547	−	0.283833i	−0.711275	+	0.702913i	$0.751882\pi$
$140$	−3.47380	−	2.03725i	−0.293589	−	0.172179i
$141$	−3.14029	−	10.2918i	−0.264460	−	0.866728i
$142$	10.1527	−	9.14151i	0.851993	−	0.767138i
$143$	7.96370	−	8.84458i	0.665958	−	0.739621i
$144$	−2.36198	−	1.84960i	−0.196832	−	0.154134i
$145$	17.3678	+	7.87471i	1.44231	+	0.653959i
$146$	10.2818	−	4.57775i	0.850927	−	0.378857i
$147$	−6.33882	−	1.46714i	−0.522817	−	0.121007i
$148$	−3.36825	−	1.49964i	−0.276868	−	0.123270i
$149$	−7.69694	+	4.44383i	−0.630558	+	0.364053i	−0.780968	−	0.624571i	$-0.785274\pi$
$149$	−7.69694	+	4.44383i	−0.630558	+	0.364053i	0.150410	+	0.988624i	$0.451941\pi$
$150$	−4.56508	+	7.35935i	−0.372737	+	0.600888i
$151$	1.97186	+	2.71403i	0.160468	+	0.220865i	0.881678	−	0.471851i	$-0.156414\pi$
$151$	1.97186	+	2.71403i	0.160468	+	0.220865i	−0.721211	+	0.692716i	$0.756414\pi$
$152$	1.14353	−	0.243065i	0.0927526	−	0.0197152i
$153$	−7.82160	+	15.9916i	−0.632339	+	1.29285i
$154$		−	6.94057i		−	0.559287i
$155$	−8.51329	+	9.08426i	−0.683804	+	0.729665i
$156$	4.92500	−	2.08732i	0.394316	−	0.167119i
$157$	−11.5892	+	3.76557i	−0.924922	+	0.300525i	−0.732484	−	0.680784i	$-0.761639\pi$
$157$	−11.5892	+	3.76557i	−0.924922	+	0.300525i	−0.192437	+	0.981309i	$0.561639\pi$
$158$	1.48212	+	6.97283i	0.117911	+	0.554728i
$159$	−5.74649	−	3.45718i	−0.455726	−	0.274172i
$160$	−1.50750	+	1.65150i	−0.119178	+	0.130562i
$161$	−7.44140	−	12.8889i	−0.586464	−	1.01579i
$162$	3.38996	−	8.33716i	0.266340	−	0.655029i
$163$	−5.25904	+	7.23845i	−0.411920	+	0.566959i	−0.963685	−	0.267040i	$-0.913954\pi$
$163$	−5.25904	+	7.23845i	−0.411920	+	0.566959i	0.551766	+	0.833999i	$0.313954\pi$
$164$	0.215994	+	0.485130i	0.0168663	+	0.0378823i
$165$	−14.9210	−	0.370334i	−1.16160	−	0.0288305i
$166$	3.43292	−	0.360814i	0.266446	−	0.0280046i
$167$	−0.980966	−	0.883266i	−0.0759094	−	0.0683491i	0.630303	−	0.776350i	$-0.282931\pi$
$167$	−0.980966	−	0.883266i	−0.0759094	−	0.0683491i	−0.706212	+	0.708000i	$0.749597\pi$
$168$	1.31988	−	2.82640i	0.101831	−	0.218061i
$169$	0.361929	−	3.44353i	0.0278407	−	0.264887i
$170$	11.4457	+	6.71246i	0.877844	+	0.514822i
$171$	1.64311	+	3.09853i	0.125652	+	0.236950i
$172$	−0.365573	+	3.47819i	−0.0278747	+	0.265210i
$173$	−10.3876	−	11.5366i	−0.789754	−	0.877110i	0.205068	−	0.978748i	$-0.434258\pi$
$173$	−10.3876	−	11.5366i	−0.789754	−	0.877110i	−0.994821	+	0.101638i	$0.967592\pi$
$174$	−4.81679	+	13.9638i	−0.365160	+	1.05860i
$175$	−8.52550	−	2.89900i	−0.644467	−	0.219143i
$176$	−3.76956	−	0.801245i	−0.284141	−	0.0603961i
$177$	−16.6987	−	15.5891i	−1.25515	−	1.17175i
$178$	−0.819155	−	0.595151i	−0.0613983	−	0.0446085i
$179$	6.47838	+	2.88436i	0.484217	+	0.215587i	0.634301	−	0.773086i	$-0.281288\pi$
$179$	6.47838	+	2.88436i	0.484217	+	0.215587i	−0.150084	+	0.988673i	$0.547954\pi$
$180$	−6.00583	−	2.98832i	−0.447648	−	0.222736i
$181$	8.81505	+	5.08937i	0.655218	+	0.378290i	0.790452	−	0.612523i	$-0.209846\pi$
$181$	8.81505	+	5.08937i	0.655218	+	0.378290i	−0.135235	+	0.990814i	$0.543179\pi$
$182$	3.26923	+	4.49971i	0.242331	+	0.333540i
$183$	3.34098	+	4.77705i	0.246972	+	0.353130i
$184$	−7.85926	+	2.55363i	−0.579392	+	0.188256i
$185$	−8.05239	−	1.76896i	−0.592023	−	0.130056i
$186$	−7.62169	−	5.90846i	−0.558849	−	0.433229i
$187$			22.8682i			1.67229i
$188$	−1.91975	−	5.90838i	−0.140012	−	0.430913i
$189$	9.24051	+	1.47931i	0.672148	+	0.107604i
$190$	2.39532	−	1.04699i	0.173775	−	0.0759563i
$191$	12.1289	+	7.00262i	0.877616	+	0.506692i	0.869872	−	0.493278i	$-0.164201\pi$
$191$	12.1289	+	7.00262i	0.877616	+	0.506692i	0.00774468	+	0.999970i	$0.497535\pi$
$192$	−1.38270	−	1.04314i	−0.0997877	−	0.0752822i
$193$	−2.43648	+	5.47243i	−0.175382	+	0.393914i	−0.979752	−	0.200214i	$-0.935836\pi$
$193$	−2.43648	+	5.47243i	−0.175382	+	0.393914i	0.804370	+	0.594128i	$0.202503\pi$
$194$	10.1470	−	13.9662i	0.728515	−	1.00271i
$195$	9.84801	−	6.78817i	0.705231	−	0.486111i
$196$	−3.67438	−	0.781014i	−0.262456	−	0.0557867i
$197$	18.1733	−	1.91009i	1.29479	−	0.136088i	0.568048	−	0.822995i	$-0.307699\pi$
$197$	18.1733	−	1.91009i	1.29479	−	0.136088i	0.726745	+	0.686907i	$0.241032\pi$
$198$	−0.793687	−	11.5340i	−0.0564049	−	0.819689i
$199$	6.81843	−	6.13934i	0.483346	−	0.435206i	−0.391087	−	0.920354i	$-0.627901\pi$
$199$	6.81843	−	6.13934i	0.483346	−	0.435206i	0.874432	+	0.485147i	$0.161234\pi$
$200$	−2.55871	+	4.29569i	−0.180928	+	0.303751i
$201$	1.34293	−	0.116741i	0.0947228	−	0.00823425i
$202$	11.1462	+	3.62161i	0.784242	+	0.254816i
$203$	−15.2750	−	1.60546i	−1.07209	−	0.112681i
$204$	−4.34882	+	9.31259i	−0.304478	+	0.652012i
$205$	0.691407	+	0.965391i	0.0482899	+	0.0674258i
$206$	3.90860	−	0.410811i	0.272325	−	0.0286225i
$207$	−13.8402	−	20.5682i	−0.961963	−	1.42959i
$208$	2.82129	−	1.25612i	0.195621	−	0.0870962i
$209$	3.64492	+	2.64819i	0.252124	+	0.183179i
$210$	1.61906	−	6.78466i	0.111726	−	0.468186i
$211$	11.9393	+	20.6794i	0.821934	+	1.42363i	0.904240	+	0.427024i	$0.140438\pi$
$211$	11.9393	+	20.6794i	0.821934	+	1.42363i	−0.0823063	+	0.996607i	$0.526229\pi$
$212$	−3.35314	−	1.93594i	−0.230295	−	0.132961i
$213$	20.2763	+	12.1985i	1.38931	+	0.835829i
$214$	1.58344	−	0.336571i	0.108242	−	0.0230075i
$215$	0.764488	+	7.78286i	0.0521376	+	0.530787i
$216$	1.87020	−	4.84792i	0.127251	−	0.329859i
$217$	4.19834	−	9.10623i	0.285002	−	0.618171i
$218$	19.3151			1.30819
$219$	12.7810	+	14.7193i	0.863660	+	0.994640i
$220$	−8.61710	−	0.0586557i	−0.580965	−	0.00395456i
$221$	−10.7717	−	14.8259i	−0.724580	−	0.997299i
$222$	0.781782	−	6.33805i	0.0524698	−	0.425382i
$223$	−12.4086	−	21.4923i	−0.830941	−	1.43923i	−0.897293	−	0.441436i	$-0.854469\pi$
$223$	−12.4086	−	21.4923i	−0.830941	−	1.43923i	0.0663513	−	0.997796i	$-0.478864\pi$
$224$	0.732525	−	1.64528i	0.0489439	−	0.109930i
$225$	−14.4994	−	3.84270i	−0.966629	−	0.256180i
$226$	12.9298	−	5.75673i	0.860079	−	0.382932i
$227$	−18.6232	−	3.95848i	−1.23606	−	0.262733i	−0.456880	−	0.889529i	$-0.651033\pi$
$227$	−18.6232	−	3.95848i	−1.23606	−	0.262733i	−0.779184	+	0.626795i	$0.784366\pi$
$228$	0.980710	+	1.77156i	0.0649491	+	0.117325i
$229$	9.70960	+	8.74257i	0.641629	+	0.577725i	0.924382	−	0.381468i	$-0.124581\pi$
$229$	9.70960	+	8.74257i	0.641629	+	0.577725i	−0.282754	+	0.959193i	$0.591248\pi$
$230$	−16.0651	+	9.12998i	−1.05930	+	0.602013i
$231$	11.4981	−	3.50835i	0.756519	−	0.230832i
$232$	−2.63536	+	8.11079i	−0.173020	+	0.532499i
$233$	−2.78702	+	8.57756i	−0.182584	+	0.561935i	−0.999898	−	0.0142569i	$-0.995462\pi$
$233$	−2.78702	+	8.57756i	−0.182584	+	0.561935i	0.817315	+	0.576191i	$0.195462\pi$
$234$	5.94746	+	7.10389i	0.388798	+	0.464396i
$235$	−6.86367	−	12.0773i	−0.447736	−	0.787838i
$236$	−9.80148	−	8.82530i	−0.638022	−	0.574478i
$237$	−10.8023	+	5.98001i	−0.701687	+	0.388443i
$238$	−10.4535	−	2.22195i	−0.677597	−	0.144028i
$239$	−2.34261	+	1.04300i	−0.151531	+	0.0674659i	−0.481101	−	0.876665i	$-0.659763\pi$
$239$	−2.34261	+	1.04300i	−0.151531	+	0.0674659i	0.329570	+	0.944131i	$0.393096\pi$
$240$	−3.49797	−	1.66259i	−0.225793	−	0.107320i
$241$	3.01057	−	6.76185i	0.193928	−	0.435569i	−0.790242	−	0.612794i	$-0.790045\pi$
$241$	3.01057	−	6.76185i	0.193928	−	0.435569i	0.984170	+	0.177225i	$0.0567121\pi$
$242$	−1.92579	−	3.33557i	−0.123794	−	0.214418i
$243$	15.5253	+	1.40167i	0.995949	+	0.0899172i
$244$	1.97827	+	2.72285i	0.126645	+	0.174313i
$245$	−8.39952	−	0.0571746i	−0.536626	−	0.00365275i
$246$	−0.694509	+	0.603051i	−0.0442803	+	0.0384492i
$247$	−3.61045			−0.229727
$248$	−4.46110	−	3.33146i	−0.283280	−	0.211548i
$249$	2.33303	+	5.50476i	0.147850	+	0.348850i
$250$	−3.67131	+	10.5604i	−0.232194	+	0.667897i
$251$	25.5380	−	5.42828i	1.61195	−	0.342630i	0.688166	−	0.725553i	$-0.258416\pi$
$251$	25.5380	−	5.42828i	1.61195	−	0.342630i	0.923780	+	0.382923i	$0.125083\pi$
$252$	5.34952	+	0.757877i	0.336988	+	0.0477418i
$253$	−27.5799	−	15.9232i	−1.73393	−	1.00109i
$254$	−5.31969	−	9.21398i	−0.333787	−	0.578137i
$255$	−5.33458	+	22.3545i	−0.334064	+	1.39989i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−22.4678	+	10.0033i	−1.40151	+	0.623990i	−0.961700	−	0.274103i	$-0.911619\pi$
$257$	−22.4678	+	10.0033i	−1.40151	+	0.623990i	−0.439805	+	0.898093i	$0.644952\pi$
$258$	−5.94694	+	1.15255i	−0.370240	+	0.0717544i
$259$	6.60385	−	0.694093i	0.410344	−	0.0431288i
$260$	5.61426	−	4.02090i	0.348182	−	0.249365i
$261$	−25.5680	−	0.921242i	−1.58262	−	0.0570234i
$262$	7.79374	+	0.819155i	0.481499	+	0.0506076i
$263$	1.11556	+	0.362469i	0.0687886	+	0.0223508i	0.343209	−	0.939259i	$-0.388486\pi$
$263$	1.11556	+	0.362469i	0.0687886	+	0.0223508i	−0.274421	+	0.961610i	$0.588486\pi$
$264$	−0.578072	−	6.64985i	−0.0355779	−	0.409270i
$265$	−8.21563	−	2.73138i	−0.504682	−	0.167788i
$266$	−1.56468	+	1.40885i	−0.0959368	+	0.0863819i
$267$	0.571887	−	1.65789i	0.0349989	−	0.101461i
$268$	0.774000	−	0.0813507i	0.0472796	−	0.00496928i
$269$	−28.9140	−	6.14585i	−1.76291	−	0.374719i	−0.791326	−	0.611394i	$-0.790609\pi$
$269$	−28.9140	−	6.14585i	−1.76291	−	0.374719i	−0.971589	+	0.236675i	$0.923942\pi$
$270$	1.91474	−	11.4601i	0.116527	−	0.697439i
$271$	11.3402	−	15.6084i	0.688867	−	0.948144i	−0.311130	−	0.950367i	$-0.600708\pi$
$271$	11.3402	−	15.6084i	0.688867	−	0.948144i	0.999998	+	0.00222296i	$0.000707591\pi$
$272$	−2.41357	+	5.42096i	−0.146344	+	0.328694i
$273$	−5.80189	+	7.69049i	−0.351146	+	0.465450i
$274$	0.233815	+	0.134993i	0.0141253	+	0.00815522i
$275$	−18.9006	+	3.74927i	−1.13975	+	0.226090i
$276$	−8.20320	−	11.7292i	−0.493774	−	0.706016i
$277$	4.47327	+	13.7673i	0.268773	+	0.827197i	0.990800	+	0.135333i	$0.0432104\pi$
$277$	4.47327	+	13.7673i	0.268773	+	0.827197i	−0.722028	+	0.691864i	$0.756790\pi$
$278$		−	10.8290i		−	0.649479i
$279$	5.93559	−	15.6131i	0.355355	−	0.934732i
$280$	0.864077	−	3.93332i	0.0516385	−	0.235061i
$281$	−6.83819	+	2.22186i	−0.407932	+	0.132545i	−0.505793	−	0.862655i	$-0.668800\pi$
$281$	−6.83819	+	2.22186i	−0.407932	+	0.132545i	0.0978606	+	0.995200i	$0.468800\pi$
$282$	8.81771	−	6.16694i	0.525087	−	0.367236i
$283$	14.8867	+	20.4898i	0.884923	+	1.21799i	0.975033	+	0.222060i	$0.0712782\pi$
$283$	14.8867	+	20.4898i	0.884923	+	1.21799i	−0.0901098	+	0.995932i	$0.528722\pi$
$284$	11.8314	+	6.83088i	0.702067	+	0.405338i
$285$	2.94528	+	3.43896i	0.174463	+	0.203707i
$286$	10.8726	+	4.84080i	0.642911	+	0.286242i
$287$	−0.773739	−	0.562155i	−0.0456724	−	0.0331829i
$288$	1.02919	−	2.81794i	0.0606454	−	0.166049i
$289$	17.8142	+	3.78652i	1.04789	+	0.222737i
$290$	−2.12236	+	18.9511i	−0.124629	+	1.11285i
$291$	28.2662	+	9.75038i	1.65700	+	0.571578i
$292$	7.53094	+	8.36396i	0.440715	+	0.489464i
$293$	0.803239	−	7.64231i	0.0469257	−	0.446468i	−0.945681	−	0.325095i	$-0.894604\pi$
$293$	0.803239	−	7.64231i	0.0469257	−	0.446468i	0.992607	−	0.121373i	$-0.0387297\pi$
$294$	−0.563476	−	6.48195i	−0.0328626	−	0.378035i
$295$	−25.4398	−	14.9195i	−1.48116	−	0.868646i
$296$	0.385397	−	3.66681i	0.0224008	−	0.213129i
$297$	18.7067	−	7.14514i	1.08547	−	0.414603i
$298$	−6.60482	−	5.94701i	−0.382607	−	0.344501i
$299$	25.3809	−	2.66764i	1.46782	−	0.154274i
$300$	−8.40985	−	2.06749i	−0.485543	−	0.119366i
$301$	−2.56190	−	5.75412i	−0.147665	−	0.331662i
$302$	−1.97186	+	2.71403i	−0.113468	+	0.156175i
$303$	−0.365524	+	20.2960i	−0.0209988	+	1.16597i
$304$	0.584539	+	1.01245i	0.0335256	+	0.0580681i
$305$	5.55833	+	5.07367i	0.318269	+	0.290518i
$306$	−17.6259	−	2.49710i	−1.00761	−	0.142750i
$307$	0.362072	+	1.70341i	0.0206645	+	0.0972190i	0.987271	−	0.159045i	$-0.0508416\pi$
$307$	0.362072	+	1.70341i	0.0206645	+	0.0972190i	−0.966607	+	0.256264i	$0.917508\pi$
$308$	6.60088	−	2.14476i	0.376120	−	0.122209i
$309$	2.65631	+	6.26752i	0.151112	+	0.356547i
$310$	−11.2704	−	5.28943i	−0.640116	−	0.300420i
$311$			32.3668i			1.83535i	0.397328	+	0.917677i	$0.369938\pi$
$311$			32.3668i			1.83535i	−0.397328	+	0.917677i	$0.630062\pi$
$312$	3.50706	+	4.03894i	0.198548	+	0.228660i
$313$	−8.48424	+	1.80338i	−0.479558	+	0.101933i	−0.441347	−	0.897337i	$-0.645499\pi$
$313$	−8.48424	+	1.80338i	−0.479558	+	0.101933i	−0.0382107	+	0.999270i	$0.512166\pi$
$314$	−7.16254	−	9.85839i	−0.404206	−	0.556341i
$315$	12.0582	−	0.747327i	0.679403	−	0.0421071i
$316$	−6.17355	+	3.56430i	−0.347289	+	0.200508i
$317$	17.2106	+	7.66265i	0.966643	+	0.430377i	0.828472	−	0.560031i	$-0.189211\pi$
$317$	17.2106	+	7.66265i	0.966643	+	0.430377i	0.138171	+	0.990408i	$0.455877\pi$
$318$	1.51221	−	6.53356i	0.0848004	−	0.366384i
$319$	−30.0243	+	13.3677i	−1.68104	+	0.748447i
$320$	−2.03651	−	0.923374i	−0.113844	−	0.0516182i
$321$	1.35798	+	2.45308i	0.0757953	+	0.136917i
$322$	9.95853	−	11.0601i	0.554967	−	0.616354i
$323$	5.15541	−	4.64196i	0.286855	−	0.258285i
$324$	8.97666	+	0.647719i	0.498703	+	0.0359844i
$325$	10.4876	−	11.3335i	0.581747	−	0.628669i
$326$	−8.50931	−	2.76484i	−0.471287	−	0.153130i
$327$	9.76350	+	31.9984i	0.539923	+	1.76952i
$328$	−0.394640	+	0.355336i	−0.0217904	+	0.0196201i
$329$	8.31466	+	7.48655i	0.458402	+	0.412747i
$330$	−4.25864	−	14.3052i	−0.234430	−	0.787473i
$331$	3.14219	−	14.7828i	0.172710	−	0.812538i	−0.803430	−	0.595399i	$-0.796994\pi$
$331$	3.14219	−	14.7828i	0.172710	−	0.812538i	0.976141	−	0.217139i	$-0.0696726\pi$
$332$	1.40399	+	3.15340i	0.0770537	+	0.173065i
$333$	10.8951	−	1.90865i	0.597048	−	0.104593i
$334$	0.536900	−	1.20590i	0.0293779	−	0.0659838i
$335$	1.65870	−	0.526489i	0.0906244	−	0.0287652i
$336$	3.09593	+	0.381875i	0.168897	+	0.0208330i
$337$	6.35151	−	4.61464i	0.345989	−	0.251376i	−0.401196	−	0.915992i	$-0.631405\pi$
$337$	6.35151	−	4.61464i	0.345989	−	0.251376i	0.747184	+	0.664617i	$0.231405\pi$
$338$	3.38683	−	0.719893i	0.184219	−	0.0391570i
$339$	16.0727	+	18.5102i	0.872949	+	1.00534i
$340$	−2.84702	+	12.9598i	−0.154401	+	0.702842i
$341$	−1.96273	−	21.3670i	−0.106288	−	1.15709i
$342$	−2.43913	+	2.52019i	−0.131893	+	0.136276i
$343$	18.4240	−	5.98634i	0.994805	−	0.323232i
$344$	−3.42093	+	0.727141i	−0.184444	+	0.0392048i
$345$	−23.2458	−	21.9992i	−1.25151	−	1.18440i
$346$	7.76200	−	13.4442i	0.417288	−	0.722764i
$347$	17.4721	−	10.0875i	0.937952	−	0.541527i	0.0486345	−	0.998817i	$-0.484513\pi$
$347$	17.4721	−	10.0875i	0.937952	−	0.541527i	0.889318	+	0.457290i	$0.151180\pi$
$348$	−14.7689	−	0.265983i	−0.791694	−	0.0142582i
$349$	−24.0470	−	17.4711i	−1.28720	−	0.935209i	−0.287460	−	0.957793i	$-0.592811\pi$
$349$	−24.0470	−	17.4711i	−1.28720	−	0.935209i	−0.999745	+	0.0225835i	$0.992811\pi$
$350$	0.122585	−	9.00407i	0.00655245	−	0.481288i
$351$	−8.76231	+	13.4438i	−0.467697	+	0.717575i
$352$	−0.402829	−	3.83266i	−0.0214709	−	0.204282i
$353$	3.62747	+	3.26619i	0.193071	+	0.173842i	0.759997	−	0.649927i	$-0.225201\pi$
$353$	3.62747	+	3.26619i	0.193071	+	0.173842i	−0.566926	+	0.823769i	$0.691867\pi$
$354$	9.66592	−	20.6987i	0.513738	−	1.10012i
$355$	28.9886	+	9.63759i	1.53855	+	0.511510i
$356$	0.312890	−	0.962975i	0.0165831	−	0.0510376i
$357$	−1.60306	−	18.4409i	−0.0848432	−	0.975994i
$358$	−0.741261	+	7.05263i	−0.0391769	+	0.372743i
$359$	3.26856	−	2.94303i	0.172508	−	0.155327i	−0.578354	−	0.815786i	$-0.696305\pi$
$359$	3.26856	−	2.94303i	0.172508	−	0.155327i	0.750862	+	0.660459i	$0.229638\pi$
$360$	0.986155	−	6.63532i	0.0519749	−	0.349712i
$361$	1.84318	+	17.5367i	0.0970093	+	0.922982i
$362$	−2.11628	+	9.95632i	−0.111229	+	0.523292i
$363$	4.55240	−	4.87643i	0.238939	−	0.255946i
$364$	−3.26923	+	4.49971i	−0.171354	+	0.235849i
$365$	20.2590	+	14.9308i	1.06040	+	0.781512i
$366$	−3.51082	+	4.65365i	−0.183514	+	0.243250i
$367$	14.7539	−	25.5545i	0.770146	−	1.33393i	−0.167336	−	0.985900i	$-0.553516\pi$
$367$	14.7539	−	25.5545i	0.770146	−	1.33393i	0.937482	−	0.348033i	$-0.113150\pi$
$368$	−4.85729	−	6.68549i	−0.253204	−	0.348505i
$369$	−1.35011	−	0.845724i	−0.0702838	−	0.0440266i
$370$	−0.805945	−	8.20491i	−0.0418991	−	0.426553i
$371$	6.97317			0.362029
$372$	3.26404	−	9.07447i	0.169233	−	0.470489i
$373$			0.686626i			0.0355521i	0.999842	+	0.0177761i	$0.00565860\pi$
$373$			0.686626i			0.0355521i	−0.999842	+	0.0177761i	$0.994341\pi$
$374$	−21.7490	+	7.06667i	−1.12461	+	0.365409i
$375$	−19.3506	−	0.743974i	−0.999262	−	0.0384186i
$376$	5.02597	−	3.65158i	0.259194	−	0.188316i
$377$	13.1687	−	22.8089i	0.678225	−	1.17472i
$378$	1.44856	+	9.24538i	0.0745061	+	0.475531i
$379$	−22.4085	−	9.97691i	−1.15105	−	0.512479i	−0.259650	−	0.965703i	$-0.583607\pi$
$379$	−22.4085	−	9.97691i	−1.15105	−	0.512479i	−0.891397	+	0.453223i	$0.850274\pi$
$380$	1.73594	+	1.95454i	0.0890517	+	0.100266i
$381$	12.5753	−	13.4704i	0.644253	−	0.690109i
$382$	−2.91185	+	13.6992i	−0.148983	+	0.700912i
$383$	−9.17958	+	0.964812i	−0.469054	+	0.0492996i	−0.336108	−	0.941824i	$-0.609111\pi$
$383$	−9.17958	+	0.964812i	−0.469054	+	0.0492996i	−0.132947	+	0.991123i	$0.542444\pi$
$384$	0.564809	−	1.63737i	0.0288228	−	0.0835569i
$385$	13.4929	−	7.66813i	0.687660	−	0.390804i
$386$	−5.95751	−	0.626159i	−0.303229	−	0.0318707i
$387$	−4.91545	−	9.26940i	−0.249866	−	0.471190i
$388$	16.4182	+	5.33461i	0.833510	+	0.270824i
$389$	−3.00766	+	28.6160i	−0.152494	+	1.45089i	0.604050	+	0.796946i	$0.293553\pi$
$389$	−3.00766	+	28.6160i	−0.152494	+	1.45089i	−0.756545	+	0.653942i	$0.773114\pi$
$390$	9.49914	+	7.26836i	0.481007	+	0.368048i
$391$	−32.8120	+	36.4414i	−1.65937	+	1.84292i
$392$	−0.392658	−	3.73589i	−0.0198322	−	0.188691i
$393$	2.58256	+	13.3256i	0.130273	+	0.672186i
$394$	7.43246	+	16.6936i	0.374442	+	0.841010i
$395$	−11.9181	+	10.5851i	−0.599664	+	0.532594i
$396$	10.7243	−	4.31906i	0.538915	−	0.217041i
$397$	−29.3793	+	16.9621i	−1.47450	+	0.851305i	−0.999587	−	0.0287269i	$-0.990855\pi$
$397$	−29.3793	+	16.9621i	−1.47450	+	0.851305i	−0.474915	+	0.880031i	$0.657521\pi$
$398$	7.94587	+	4.58755i	0.398291	+	0.229953i
$399$	−3.12489	−	1.87998i	−0.156440	−	0.0941167i
$400$	−4.87613	−	1.10604i	−0.243807	−	0.0553020i
$401$	0.425204	+	1.30864i	0.0212337	+	0.0653505i	0.961112	−	0.276159i	$-0.0890617\pi$
$401$	0.425204	+	1.30864i	0.0212337	+	0.0653505i	−0.939878	+	0.341510i	$0.889062\pi$
$402$	0.526014	+	1.24113i	0.0262352	+	0.0619017i
$403$	11.3370	+	12.9281i	0.564735	+	0.643994i
$404$			11.7198i			0.583081i
$405$	19.9532	−	2.62084i	0.991484	−	0.130231i
$406$	−3.19334	−	15.0235i	−0.158483	−	0.745602i
$407$	11.4952	−	8.35178i	0.569798	−	0.413982i
$408$	−10.2007	−	1.25822i	−0.505008	−	0.0622914i
$409$	−22.8041	+	13.1660i	−1.12759	+	0.651014i	−0.943328	−	0.331863i	$-0.892323\pi$
$409$	−22.8041	+	13.1660i	−1.12759	+	0.651014i	−0.184262	+	0.982877i	$0.558990\pi$
$410$	−0.704485	+	0.955889i	−0.0347920	+	0.0472080i
$411$	−0.105446	+	0.455586i	−0.00520128	+	0.0224724i
$412$	1.59853	+	3.59035i	0.0787538	+	0.176884i
$413$	23.2344	+	4.93863i	1.14329	+	0.243014i
$414$	15.2846	−	19.5188i	0.751198	−	0.959294i
$415$	4.49423	+	6.27516i	0.220613	+	0.308035i
$416$	2.06647	+	2.29504i	0.101317	+	0.112524i
$417$	17.9398	−	5.47388i	0.878516	−	0.268057i
$418$	−1.39223	+	4.28486i	−0.0680964	+	0.209579i
$419$	19.7023	+	6.40167i	0.962522	+	0.312742i	0.747793	−	0.663932i	$-0.231113\pi$
$419$	19.7023	+	6.40167i	0.962522	+	0.312742i	0.214728	+	0.976674i	$0.431113\pi$
$420$	6.95291	−	0.556759i	0.339267	−	0.0271671i
$421$	−24.9292	−	27.6867i	−1.21498	−	1.34937i	−0.919042	−	0.394159i	$-0.871036\pi$
$421$	−24.9292	−	27.6867i	−1.21498	−	1.34937i	−0.295934	−	0.955208i	$-0.595631\pi$
$422$	−15.9779	+	17.7452i	−0.777791	+	0.863824i
$423$	14.6737	+	11.4906i	0.713458	+	0.558690i
$424$	0.805008	−	3.78727i	0.0390946	−	0.183926i
$425$	−0.403901	+	29.6672i	−0.0195921	+	1.43907i
$426$	−5.33577	+	23.0534i	−0.258519	+	1.11694i
$427$	−5.53739	−	2.46540i	−0.267973	−	0.119309i
$428$	0.809408	+	1.40194i	0.0391242	+	0.0677652i
$429$	−2.52357	+	20.4590i	−0.121839	+	0.987772i
$430$	−7.16570	+	3.13211i	−0.345561	+	0.151044i
$431$	5.70588	+	26.8440i	0.274843	+	1.29303i	0.871444	+	0.490495i	$0.163184\pi$
$431$	5.70588	+	26.8440i	0.274843	+	1.29303i	−0.596602	+	0.802538i	$0.703483\pi$
$432$	5.18857	+	0.280577i	0.249635	+	0.0134992i
$433$	9.91246			0.476362			0.238181	−	0.971221i	$-0.423449\pi$
$433$	9.91246			0.476362			0.238181	+	0.971221i	$0.423449\pi$
$434$	9.95790	+	1.17888i	0.477994	+	0.0565883i
$435$	−32.4682	+	6.06349i	−1.55673	+	0.290722i
$436$	5.96871	+	18.3698i	0.285849	+	0.879754i
$437$	2.00862	+	9.44982i	0.0960853	+	0.452046i
$438$	−10.0494	+	16.7040i	−0.480178	+	0.798147i
$439$	−11.4348	+	19.8056i	−0.545752	+	0.945270i	0.452808	+	0.891608i	$0.350422\pi$
$439$	−11.4348	+	19.8056i	−0.545752	+	0.945270i	−0.998559	+	0.0536613i	$0.982911\pi$
$440$	−2.60705	−	8.21348i	−0.124286	−	0.391562i
$441$	10.4535	−	4.21000i	0.497785	−	0.200476i
$442$	10.7717	−	14.8259i	0.512356	−	0.705197i
$443$	−21.7920	+	9.70242i	−1.03537	+	0.460976i	−0.852811	−	0.522219i	$-0.825104\pi$
$443$	−21.7920	+	9.70242i	−1.03537	+	0.460976i	−0.182558	+	0.983195i	$0.558438\pi$
$444$	6.26943	−	1.21505i	0.297534	−	0.0576636i
$445$	0.251983	−	2.25002i	0.0119451	−	0.106661i
$446$	16.6059	−	18.4428i	0.786314	−	0.873291i
$447$	6.51347	−	13.9480i	0.308077	−	0.659717i
$448$	1.79111	+	0.188254i	0.0846222	+	0.00889415i
$449$	−0.271388	+	0.835247i	−0.0128076	+	0.0394177i	−0.957256	−	0.289242i	$-0.906597\pi$
$449$	−0.271388	+	0.835247i	−0.0128076	+	0.0394177i	0.944448	+	0.328660i	$0.106597\pi$
$450$	−0.825942	−	14.9772i	−0.0389353	−	0.706034i
$451$	−2.03530	−	0.213919i	−0.0958386	−	0.0100730i
$452$	9.47051	+	10.5181i	0.445455	+	0.494728i
$453$	−5.49294	−	1.89478i	−0.258081	−	0.0890245i
$454$	−1.99014	−	18.9349i	−0.0934020	−	0.888660i
$455$	−5.13575	+	11.3270i	−0.240768	+	0.531016i
$456$	−1.38180	+	1.48015i	−0.0647088	+	0.0693146i
$457$	−17.9404	−	13.0345i	−0.839217	−	0.609727i	0.0829349	−	0.996555i	$-0.473571\pi$
$457$	−17.9404	−	13.0345i	−0.839217	−	0.609727i	−0.922152	+	0.386828i	$0.873571\pi$
$458$	−5.31424	+	11.9360i	−0.248318	+	0.557732i
$459$	−4.77282	−	30.4623i	−0.222776	−	1.42186i
$460$	−13.6475	−	12.4575i	−0.636319	−	0.580835i
$461$	6.54566	−	4.75570i	0.304862	−	0.221495i	−0.424827	−	0.905275i	$-0.639665\pi$
$461$	6.54566	−	4.75570i	0.304862	−	0.221495i	0.729689	+	0.683780i	$0.239665\pi$
$462$	6.88975	+	9.85120i	0.320540	+	0.458319i
$463$	3.63951	+	11.2013i	0.169142	+	0.520567i	0.999318	−	0.0369357i	$-0.0117597\pi$
$463$	3.63951	+	11.2013i	0.169142	+	0.520567i	−0.830175	+	0.557503i	$0.811760\pi$
$464$	−8.52819			−0.395911
$465$	3.06573	−	21.3448i	0.142170	−	0.989842i
$466$	−9.01898			−0.417796
$467$	−4.09915	−	12.6159i	−0.189686	−	0.583793i	0.810312	−	0.585999i	$-0.199298\pi$
$467$	−4.09915	−	12.6159i	−0.189686	−	0.583793i	−0.999998	+	0.00220601i	$0.999298\pi$
$468$	−4.91834	+	7.85159i	−0.227350	+	0.362940i
$469$	−1.13395	+	0.823862i	−0.0523609	+	0.0380424i
$470$	9.36523	−	10.2598i	0.431986	−	0.473251i
$471$	12.7113	−	16.8491i	0.585708	−	0.776364i
$472$	5.36453	−	12.0489i	0.246923	−	0.554597i
$473$	−10.9039	−	7.92218i	−0.501364	−	0.364262i
$474$	−9.02543	−	8.42571i	−0.414552	−	0.387006i
$475$	4.68181	+	3.49989i	0.214816	+	0.160586i
$476$	−1.11709	−	10.6284i	−0.0512020	−	0.487154i
$477$	11.5882	−	0.797415i	0.530588	−	0.0365111i
$478$	−1.71586	−	1.90565i	−0.0784815	−	0.0871625i
$479$	−21.4004	−	2.24928i	−0.977811	−	0.102772i	−0.397880	−	0.917438i	$-0.630254\pi$
$479$	−21.4004	−	2.24928i	−0.977811	−	0.102772i	−0.579931	+	0.814666i	$0.696920\pi$
$480$	0.500282	−	3.84054i	0.0228347	−	0.175296i
$481$	−3.51863	+	10.8292i	−0.160436	+	0.493771i
$482$	7.36122	+	0.773696i	0.335294	+	0.0352409i
$483$	23.3565	+	10.9071i	1.06276	+	0.496290i
$484$	2.57721	−	2.86228i	0.117146	−	0.130104i
$485$	38.3618	+	4.29618i	1.74192	+	0.195080i
$486$	3.46452	+	15.1986i	0.157154	+	0.689422i
$487$	−8.84613	+	3.93855i	−0.400857	+	0.178473i	−0.597255	−	0.802051i	$-0.703742\pi$
$487$	−8.84613	+	3.93855i	−0.400857	+	0.178473i	0.196399	+	0.980524i	$0.437075\pi$
$488$	−1.97827	+	2.72285i	−0.0895519	+	0.123258i
$489$	0.279052	−	15.4945i	0.0126191	−	0.700686i
$490$	−2.54122	−	8.00609i	−0.114801	−	0.361678i
$491$	3.61482	−	6.26106i	0.163135	−	0.282558i	−0.772857	−	0.634581i	$-0.781173\pi$
$491$	3.61482	−	6.26106i	0.163135	−	0.282558i	0.935991	+	0.352023i	$0.114506\pi$
$492$	−0.788151	−	0.474164i	−0.0355326	−	0.0213770i
$493$	10.5216	+	49.5003i	0.473869	+	2.22938i
$494$	−1.11569	−	3.43374i	−0.0501973	−	0.154491i
$495$	21.5460	−	14.2861i	0.968419	−	0.642112i
$496$	1.78985	−	5.27223i	0.0803667	−	0.236730i
$497$	−24.6046			−1.10367
$498$	−4.51439	+	3.91991i	−0.202295	+	0.175655i
$499$	3.86869	+	18.2008i	0.173186	+	0.814778i	0.975866	+	0.218368i	$0.0700734\pi$
$499$	3.86869	+	18.2008i	0.173186	+	0.814778i	−0.802680	+	0.596410i	$0.796593\pi$
$500$	−11.1780	−	0.228291i	−0.499896	−	0.0102095i
$501$	2.26914	+	0.279893i	0.101378	+	0.0125047i
$502$	13.0543	+	22.6107i	0.582641	+	1.00916i
$503$	−8.21549	−	3.65777i	−0.366311	−	0.163092i	0.215323	−	0.976543i	$-0.430920\pi$
$503$	−8.21549	−	3.65777i	−0.366311	−	0.163092i	−0.581634	+	0.813451i	$0.697586\pi$
$504$	0.932310	+	5.32190i	0.0415284	+	0.237056i
$505$	5.27397	+	25.6700i	0.234689	+	1.14230i
$506$	6.62126	−	31.1506i	0.294351	−	1.38481i
$507$	2.90460	+	5.24689i	0.128998	+	0.233023i
$508$	7.11914	−	7.90661i	0.315861	−	0.350799i
$509$	−19.3240	−	21.4615i	−0.856523	−	0.951266i	0.142735	−	0.989761i	$-0.454410\pi$
$509$	−19.3240	−	21.4615i	−0.856523	−	0.951266i	−0.999259	+	0.0384953i	$0.987744\pi$
$510$	−22.9089	+	1.83445i	−1.01442	+	0.0812306i
$511$	−19.2776	−	6.26368i	−0.852793	−	0.277089i
$512$	0.309017	−	0.951057i	0.0136568	−	0.0420312i
$513$	−5.40801	−	2.76686i	−0.238770	−	0.122160i
$514$	−16.4567	−	18.2770i	−0.725873	−	0.806163i
$515$	5.11697	+	7.14467i	0.225481	+	0.314832i
$516$	−2.93384	−	5.29972i	−0.129155	−	0.233307i
$517$	23.4182	+	4.97768i	1.02993	+	0.218918i
$518$	2.70082	+	6.06615i	0.118667	+	0.266531i
$519$	26.1959	+	6.06309i	1.14987	+	0.266140i
$520$	5.55900	+	4.09695i	0.243778	+	0.179663i
$521$	−25.0426	+	14.4583i	−1.09713	+	0.633431i	−0.935467	−	0.353415i	$-0.885020\pi$
$521$	−25.0426	+	14.4583i	−1.09713	+	0.633431i	−0.161667	+	0.986845i	$0.551687\pi$
$522$	−7.02479	−	24.6013i	−0.307467	−	1.07677i
$523$	35.2438	−	25.6061i	1.54110	−	1.11968i	0.591464	−	0.806332i	$-0.298550\pi$
$523$	35.2438	−	25.6061i	1.54110	−	1.11968i	0.949639	−	0.313345i	$-0.101450\pi$
$524$	1.62934	+	7.66542i	0.0711778	+	0.334865i
$525$	14.9785	−	4.34833i	0.653717	−	0.189777i
$526$			1.17297i			0.0511441i
$527$	−32.8099	−	3.88426i	−1.42922	−	0.169201i
$528$	6.14575	−	2.60470i	0.267460	−	0.113355i
$529$	−13.9951	−	43.0724i	−0.608481	−	1.87271i
$530$	0.0589311	−	8.65757i	0.00255981	−	0.376061i
$531$	39.1764	+	5.55019i	1.70011	+	0.240858i
$532$	−1.82341	−	1.05274i	−0.0790547	−	0.0456422i
$533$	1.42029	−	0.820003i	0.0615194	−	0.0355183i
$534$	1.75347	+	0.0315795i	0.0758802	+	0.00136658i
$535$	2.40374	+	2.70645i	0.103923	+	0.117010i
$536$	0.316548	+	0.710979i	0.0136728	+	0.0307096i
$537$	−12.0584	+	2.33698i	−0.520359	+	0.100848i
$538$	−3.08985	−	29.3980i	−0.133213	−	1.26744i
$539$	9.68672	−	10.7582i	0.417237	−	0.463388i
$540$	11.4909	−	1.72034i	0.494489	−	0.0740315i
$541$	−2.51778	+	23.9550i	−0.108248	+	1.02991i	0.796697	+	0.604379i	$0.206579\pi$
$541$	−2.51778	+	23.9550i	−0.108248	+	1.02991i	−0.904945	+	0.425529i	$0.860088\pi$
$542$	18.3488	+	5.96189i	0.788149	+	0.256085i
$543$	−17.5639	+	1.52683i	−0.753738	+	0.0655224i
$544$	−5.90148	−	0.620270i	−0.253024	−	0.0265939i
$545$	21.3399	+	37.5497i	0.914101	+	1.60845i
$546$	−9.10698	−	3.14143i	−0.389743	−	0.134441i
$547$	42.3701	−	4.45327i	1.81161	−	0.190408i	0.862651	−	0.505799i	$-0.168802\pi$
$547$	42.3701	−	4.45327i	1.81161	−	0.190408i	0.948962	+	0.315391i	$0.102136\pi$
$548$	−0.0561332	+	0.264086i	−0.00239789	+	0.0112812i
$549$	−9.48413	−	3.46386i	−0.404773	−	0.147834i
$550$	−9.40638	−	16.8169i	−0.401089	−	0.717077i
$551$	9.10816	+	4.05521i	0.388021	+	0.172758i
$552$	8.62022	−	11.4262i	0.366901	−	0.486333i
$553$	6.41924	−	11.1184i	0.272974	−	0.472804i
$554$	−11.7112	+	8.50866i	−0.497560	+	0.361498i
$555$	13.1853	−	5.48262i	0.559683	−	0.232724i
$556$	10.2990	−	3.34634i	0.436774	−	0.141916i
$557$			34.9059i			1.47901i	0.673151	+	0.739505i	$0.264940\pi$
$557$			34.9059i			1.47901i	−0.673151	+	0.739505i	$0.735060\pi$
$558$	16.6831	+	0.820372i	0.706253	+	0.0347291i
$559$	10.8008			0.456826
$560$	4.00783	−	0.393677i	0.169362	−	0.0166359i
$561$	−22.7008	−	32.4583i	−0.958427	−	1.37039i
$562$	−4.22624	−	5.81692i	−0.178273	−	0.245372i
$563$	22.9502	−	39.7510i	0.967237	−	1.67530i	0.263757	−	0.964589i	$-0.415038\pi$
$563$	22.9502	−	39.7510i	0.967237	−	1.67530i	0.703480	−	0.710715i	$-0.251628\pi$
$564$	8.58993	+	6.48045i	0.361701	+	0.272876i
$565$	25.4766	+	18.7761i	1.07181	+	0.789917i
$566$	−14.8867	+	20.4898i	−0.625735	+	0.861251i
$567$	−14.5841	+	7.07315i	−0.612475	+	0.297045i
$568$	−2.84044	+	13.3632i	−0.119182	+	0.560709i
$569$	−1.35391	−	12.8816i	−0.0567588	−	0.540024i	−0.985546	−	0.169410i	$-0.945814\pi$
$569$	−1.35391	−	12.8816i	−0.0567588	−	0.540024i	0.928787	−	0.370614i	$-0.120853\pi$
$570$	−2.36051	+	3.86383i	−0.0988707	+	0.161838i
$571$	−17.5294	+	15.7835i	−0.733582	+	0.660520i	−0.948739	−	0.316059i	$-0.897640\pi$
$571$	−17.5294	+	15.7835i	−0.733582	+	0.660520i	0.215158	+	0.976579i	$0.430973\pi$
$572$	−1.24405	+	11.8364i	−0.0520164	+	0.494903i
$573$	−24.1667	+	2.10081i	−1.00958	+	0.0877625i
$574$	0.295542	−	0.909585i	0.0123357	−	0.0379654i
$575$	−35.4984	−	21.1445i	−1.48038	−	0.881786i
$576$	2.99805	+	0.108023i	0.124919	+	0.00450097i
$577$	−4.84544	−	4.36286i	−0.201718	−	0.181628i	0.562080	−	0.827083i	$-0.310001\pi$
$577$	−4.84544	−	4.36286i	−0.201718	−	0.181628i	−0.763799	+	0.645455i	$0.776668\pi$
$578$	1.90369	+	18.1124i	0.0791831	+	0.753377i
$579$	−1.97410	−	10.1860i	−0.0820408	−	0.423316i
$580$	−18.6794	+	3.83774i	−0.775622	+	0.159353i
$581$	−5.02940	−	3.65407i	−0.208655	−	0.151596i
$582$	−0.538415	+	29.8958i	−0.0223180	+	1.23922i
$583$	12.9223	−	7.46067i	0.535185	−	0.308989i
$584$	−5.62741	+	9.74696i	−0.232864	+	0.403332i
$585$	−7.23945	+	19.4108i	−0.299315	+	0.802537i
$586$	7.51648	−	1.59768i	0.310503	−	0.0659994i
$587$	23.6566	−	7.68649i	0.976412	−	0.317256i	0.223010	−	0.974816i	$-0.428412\pi$
$587$	23.6566	−	7.68649i	0.976412	−	0.317256i	0.753402	+	0.657560i	$0.228412\pi$
$588$	5.99058	−	2.53893i	0.247047	−	0.104704i
$589$	−4.41855	+	4.77969i	−0.182063	+	0.196944i
$590$	6.32793	−	28.8051i	0.260517	−	1.18589i
$591$	−23.8984	+	20.7513i	−0.983049	+	0.853595i
$592$	3.60644	−	0.766572i	0.148224	−	0.0315059i
$593$	15.8024	−	11.4811i	0.648925	−	0.471472i	−0.213980	−	0.976838i	$-0.568643\pi$
$593$	15.8024	−	11.4811i	0.648925	−	0.471472i	0.862905	+	0.505366i	$0.168643\pi$
$594$	12.5761	+	15.5831i	0.516004	+	0.639384i
$595$	−7.22966	−	22.7770i	−0.296387	−	0.933765i
$596$	3.61494	−	8.11928i	0.148074	−	0.332579i
$597$	−3.58345	+	15.4825i	−0.146661	+	0.633655i
$598$	10.3802	+	23.3143i	0.424478	+	0.953394i
$599$	3.15307	−	14.8340i	0.128831	−	0.606101i	−0.865602	−	0.500732i	$-0.833064\pi$
$599$	3.15307	−	14.8340i	0.128831	−	0.606101i	0.994433	−	0.105369i	$-0.0336024\pi$
$600$	−0.632487	−	8.63713i	−0.0258212	−	0.352609i
$601$	−5.72985	−	5.15918i	−0.233726	−	0.210447i	0.543943	−	0.839122i	$-0.316931\pi$
$601$	−5.72985	−	5.15918i	−0.233726	−	0.210447i	−0.777668	+	0.628675i	$0.783598\pi$
$602$	4.68082	−	4.21463i	0.190776	−	0.171776i
$603$	−1.79022	+	1.49879i	−0.0729033	+	0.0610355i
$604$	−3.19054	−	1.03667i	−0.129821	−	0.0421814i
$605$	4.35686	−	7.42907i	0.177132	−	0.302035i
$606$	−19.4156	+	5.92416i	−0.788703	+	0.240653i
$607$	19.9926	−	18.0014i	0.811475	−	0.730655i	−0.154862	−	0.987936i	$-0.549493\pi$
$607$	19.9926	−	18.0014i	0.811475	−	0.730655i	0.966337	+	0.257281i	$0.0828266\pi$
$608$	−0.782266	+	0.868795i	−0.0317251	+	0.0352343i
$609$	23.2744	−	12.8844i	0.943128	−	0.522101i
$610$	−3.10773	+	6.85414i	−0.125828	+	0.277516i
$611$	−17.5271	+	7.80356i	−0.709070	+	0.315698i
$612$	−3.07183	−	17.5349i	−0.124172	−	0.708807i
$613$	30.5293	+	13.5925i	1.23307	+	0.548996i	0.916675	−	0.399633i	$-0.130862\pi$
$613$	30.5293	+	13.5925i	1.23307	+	0.548996i	0.316390	+	0.948629i	$0.397529\pi$
$614$	−1.50816	+	0.870735i	−0.0608642	+	0.0351400i
$615$	−1.93968	−	0.683897i	−0.0782154	−	0.0275774i
$616$	4.07957	+	5.61504i	0.164370	+	0.226236i
$617$	25.9505	−	5.51595i	1.04473	−	0.222064i	0.346582	−	0.938020i	$-0.387342\pi$
$617$	25.9505	−	5.51595i	1.04473	−	0.222064i	0.698146	+	0.715956i	$0.254009\pi$
$618$	−5.13992	+	4.46307i	−0.206758	+	0.179531i
$619$		−	0.496682i		−	0.0199633i	−0.999950	−	0.00998166i	$-0.996823\pi$
$619$		−	0.496682i		−	0.0199633i	0.999950	−	0.00998166i	$-0.00317732\pi$
$620$	1.54780	−	12.3533i	0.0621613	−	0.496121i
$621$	40.0618	+	15.4548i	1.60763	+	0.620180i
$622$	−30.7827	+	10.0019i	−1.23427	+	0.401039i
$623$	0.379137	+	1.78370i	0.0151898	+	0.0714625i
$624$	−2.75752	+	4.58352i	−0.110389	+	0.183488i
$625$	−24.5861	+	4.53014i	−0.983445	+	0.181206i
$626$	−4.33689	−	7.51172i	−0.173337	−	0.300229i
$627$	−7.80225	−	0.140516i	−0.311592	−	0.00561168i
$628$	7.16254	−	9.85839i	0.285816	−	0.393393i
$629$	−8.89885	−	19.9871i	−0.354820	−	0.796939i
$630$	4.43694	+	11.2371i	0.176772	+	0.447697i
$631$	30.9728	−	3.25538i	1.23301	−	0.129595i	0.534483	−	0.845179i	$-0.320506\pi$
$631$	30.9728	−	3.25538i	1.23301	−	0.129595i	0.698526	+	0.715584i	$0.253840\pi$
$632$	−5.29758	−	4.76997i	−0.210727	−	0.189739i
$633$	−37.4742	−	17.4998i	−1.48946	−	0.695554i
$634$	−1.96925	+	18.7361i	−0.0782088	+	0.744107i
$635$	12.0352	−	20.5216i	0.477601	−	0.814376i
$636$	6.68109	−	0.580787i	0.264922	−	0.0230297i
$637$	−1.21264	+	11.5375i	−0.0480465	+	0.457132i
$638$	−21.9915	−	24.4240i	−0.870650	−	0.966955i
$639$	−40.8886	+	2.81365i	−1.61753	+	0.111306i
$640$	0.248864	−	2.22218i	0.00983722	−	0.0878392i
$641$	16.2022	+	3.44388i	0.639947	+	0.136025i	0.516446	−	0.856320i	$-0.327255\pi$
$641$	16.2022	+	3.44388i	0.639947	+	0.136025i	0.123501	+	0.992345i	$0.460588\pi$
$642$	−1.91337	+	2.04956i	−0.0755148	+	0.0808898i
$643$	17.5823	+	12.7743i	0.693378	+	0.503768i	0.877769	−	0.479085i	$-0.159031\pi$
$643$	17.5823	+	12.7743i	0.693378	+	0.503768i	−0.184391	+	0.982853i	$0.559031\pi$
$644$	13.5961	+	6.05338i	0.535762	+	0.238536i
$645$	−8.81095	−	10.2878i	−0.346931	−	0.405083i
$646$	6.00787	+	3.46865i	0.236377	+	0.136472i
$647$	−15.7088	−	21.6213i	−0.617575	−	0.850020i	0.379598	−	0.925151i	$-0.376062\pi$
$647$	−15.7088	−	21.6213i	−0.617575	−	0.850020i	−0.997174	+	0.0751318i	$0.976062\pi$
$648$	2.15792	+	8.73747i	0.0847713	+	0.343240i
$649$	48.3405	−	15.7068i	1.89753	−	0.616545i
$650$	14.0196	+	6.47205i	0.549896	+	0.253855i
$651$	3.08056	+	17.0926i	0.120737	+	0.669914i
$652$		−	8.94721i		−	0.350400i
$653$	−0.964906	−	2.96967i	−0.0377597	−	0.116212i	0.930400	−	0.366546i	$-0.119460\pi$
$653$	−0.964906	−	2.96967i	−0.0377597	−	0.116212i	−0.968160	+	0.250334i	$0.919460\pi$
$654$	−27.4152	+	19.1737i	−1.07202	+	0.749751i
$655$	7.01825	+	16.0565i	0.274226	+	0.627379i
$656$	−0.459895	−	0.265520i	−0.0179559	−	0.0103668i
$657$	−32.7524	−	8.20469i	−1.27779	−	0.320095i
$658$	−4.55076	+	10.2212i	−0.177407	+	0.398463i
$659$	−8.09897	+	11.1473i	−0.315491	+	0.434236i	−0.937084	−	0.349104i	$-0.886486\pi$
$659$	−8.09897	+	11.1473i	−0.315491	+	0.434236i	0.621593	+	0.783340i	$0.286486\pi$
$660$	12.2890	−	8.47074i	0.478350	−	0.329723i
$661$	−20.4381	−	4.34425i	−0.794950	−	0.168972i	−0.207503	−	0.978234i	$-0.566534\pi$
$661$	−20.4381	−	4.34425i	−0.794950	−	0.168972i	−0.587447	+	0.809263i	$0.699867\pi$
$662$	15.0303	−	1.57975i	0.584169	−	0.0613987i
$663$	30.0062	+	10.3506i	1.16535	+	0.401984i
$664$	−2.56521	+	2.30972i	−0.0995494	+	0.0896347i
$665$	−4.46758	−	1.48530i	−0.173245	−	0.0575975i
$666$	5.18200	+	9.77206i	0.200799	+	0.378659i
$667$	−67.0253	−	21.7778i	−2.59523	−	0.843241i
$668$	1.31279	+	0.137980i	0.0507933	+	0.00533859i
$669$	38.9472	+	18.1877i	1.50579	+	0.703177i
$670$	1.01329	+	1.41482i	0.0391467	+	0.0546593i
$671$	−12.8993	+	1.35577i	−0.497972	+	0.0523390i
$672$	0.593510	+	3.06241i	0.0228951	+	0.118135i
$673$	−6.97675	+	3.10625i	−0.268934	+	0.119737i	−0.536773	−	0.843726i	$-0.680357\pi$
$673$	−6.97675	+	3.10625i	−0.268934	+	0.119737i	0.267839	+	0.963464i	$0.413690\pi$
$674$	6.35151	+	4.61464i	0.244651	+	0.177749i
$675$	24.3945	−	8.93906i	0.938946	−	0.344064i
$676$	1.73125	+	2.99861i	0.0665864	+	0.115331i
$677$	29.9805	+	17.3092i	1.15224	+	0.665248i	0.949433	−	0.313970i	$-0.101659\pi$
$677$	29.9805	+	17.3092i	1.15224	+	0.665248i	0.202810	+	0.979218i	$0.434993\pi$
$678$	−12.6375	+	21.0060i	−0.485342	+	0.806731i
$679$	−30.4112	+	6.46410i	−1.16708	+	0.248070i
$680$	−13.2052	+	1.29711i	−0.506398	+	0.0497420i
$681$	30.3626	−	12.8683i	1.16350	−	0.493113i
$682$	19.7147	−	8.46942i	0.754913	−	0.324311i
$683$	−20.9783			−0.802713			−0.401356	−	0.915922i	$-0.631461\pi$
$683$	−20.9783			−0.802713			−0.401356	+	0.915922i	$0.631461\pi$
$684$	−3.15058	−	1.54097i	−0.120465	−	0.0589203i
$685$	−0.00410927	+	0.603693i	−0.000157007	+	0.0230659i
$686$	11.3867	+	15.6724i	0.434746	+	0.598376i
$687$	−22.4600	−	2.77038i	−0.856902	−	0.105697i
$688$	−1.74868	−	3.02880i	−0.0666677	−	0.115472i
$689$	−4.86353	+	10.9237i	−0.185286	+	0.416159i
$690$	13.7392	−	28.9062i	0.523041	−	1.10044i
$691$	14.9998	−	6.67832i	0.570618	−	0.254055i	−0.101083	−	0.994878i	$-0.532231\pi$
$691$	14.9998	−	6.67832i	0.570618	−	0.254055i	0.671701	+	0.740823i	$0.265564\pi$
$692$	15.1848	+	3.22762i	0.577238	+	0.122696i
$693$	−12.8373	+	16.3935i	−0.487649	+	0.622738i
$694$	14.9930	+	13.4998i	0.569126	+	0.512444i
$695$	21.0521	−	11.9641i	0.798554	−	0.453826i
$696$	−4.31086	−	14.1282i	−0.163403	−	0.535529i
$697$	−0.973771	+	2.99696i	−0.0368842	+	0.113518i
$698$	9.18513	−	28.2689i	0.347662	−	1.06999i
$699$	−4.55895	−	14.9413i	−0.172435	−	0.565131i
$700$	8.60126	−	2.66583i	0.325097	−	0.100759i
$701$	20.0091	+	18.0163i	0.755735	+	0.680467i	0.954042	−	0.299673i	$-0.0968777\pi$
$701$	20.0091	+	18.0163i	0.755735	+	0.680467i	−0.198307	+	0.980140i	$0.563544\pi$
$702$	−15.4935	−	4.17910i	−0.584764	−	0.157730i
$703$	−4.21621	−	0.896183i	−0.159017	−	0.0338002i
$704$	3.52060	−	1.56747i	0.132688	−	0.0590763i
$705$	21.7309	+	10.3287i	0.818434	+	0.389002i
$706$	−1.98538	+	4.45924i	−0.0747209	+	0.167826i
$707$	−10.5535	−	18.2793i	−0.396907	−	0.687463i
$708$	22.6725	+	2.79660i	0.852086	+	0.105103i
$709$	6.55990	+	9.02893i	0.246362	+	0.339089i	0.914233	−	0.405189i	$-0.132794\pi$
$709$	6.55990	+	9.02893i	0.246362	+	0.339089i	−0.667871	+	0.744277i	$0.732794\pi$
$710$	−0.207936	+	30.5479i	−0.00780371	+	1.14644i
$711$	9.39623	−	19.2110i	0.352386	−	0.720470i
$712$	1.01253			0.0379462
$713$	27.5302	−	36.8652i	1.03101	−	1.38061i
$714$	17.0429	−	7.22315i	0.637816	−	0.270319i
$715$	2.60157	+	26.4852i	0.0972930	+	0.990491i
$716$	−6.93651	+	1.47440i	−0.259230	+	0.0551009i
$717$	2.28966	−	3.80585i	0.0855088	−	0.142132i
$718$	3.80903	+	2.19914i	0.142152	+	0.0820713i
$719$	14.9186	+	25.8399i	0.556372	+	0.963664i	0.997795	+	0.0663651i	$0.0211402\pi$
$719$	14.9186	+	25.8399i	0.556372	+	0.963664i	−0.441424	+	0.897299i	$0.645526\pi$
$720$	6.61530	−	1.11254i	0.246538	−	0.0414618i
$721$	−5.72630	−	4.16040i	−0.213258	−	0.154941i
$722$	−16.1088	+	7.17209i	−0.599507	+	0.266918i
$723$	2.43924	+	12.5861i	0.0907163	+	0.468080i
$724$	−10.1230	+	1.06397i	−0.376218	+	0.0395421i
$725$	−39.1869	+	16.8117i	−1.45537	+	0.624372i
$726$	6.04453	+	2.82269i	0.224334	+	0.104760i
$727$	−22.3443	−	2.34848i	−0.828704	−	0.0871003i	−0.319328	−	0.947644i	$-0.603457\pi$
$727$	−22.3443	−	2.34848i	−0.828704	−	0.0871003i	−0.509376	+	0.860544i	$0.670124\pi$
$728$	−5.28972	−	1.71873i	−0.196050	−	0.0637005i
$729$	−23.4275	+	13.4221i	−0.867684	+	0.497116i
$730$	−7.93963	+	23.8813i	−0.293859	+	0.883887i
$731$	−15.4227	+	13.8866i	−0.570428	+	0.513616i
$732$	−5.51079	−	1.90093i	−0.203685	−	0.0702606i
$733$	−12.4927	+	1.31303i	−0.461427	+	0.0484980i	−0.332391	−	0.943142i	$-0.607855\pi$
$733$	−12.4927	+	1.31303i	−0.461427	+	0.0484980i	−0.129037	+	0.991640i	$0.541189\pi$
$734$	28.8630	+	6.13501i	1.06535	+	0.226447i
$735$	11.9787	−	8.25686i	0.441842	−	0.304559i
$736$	4.85729	−	6.68549i	0.179042	−	0.246430i
$737$	−1.21991	+	2.73995i	−0.0449358	+	0.100927i
$738$	0.387125	−	1.54537i	0.0142503	−	0.0568859i
$739$	−15.6108	−	9.01291i	−0.574253	−	0.331545i	0.184593	−	0.982815i	$-0.440903\pi$
$739$	−15.6108	−	9.01291i	−0.574253	−	0.331545i	−0.758846	+	0.651270i	$0.774237\pi$
$740$	7.55428	−	3.30196i	0.277701	−	0.121382i
$741$	5.12454	−	3.58401i	0.188255	−	0.131662i
$742$	2.15483	+	6.63188i	0.0791062	+	0.243464i
$743$		−	11.1209i		−	0.407987i	−0.978972	−	0.203994i	$-0.934608\pi$
$743$		−	11.1209i		−	0.407987i	0.978972	−	0.203994i	$-0.0653922\pi$
$744$	9.63898	+	0.300124i	0.353382	+	0.0110031i
$745$	4.26414	−	19.4106i	0.156226	−	0.711148i
$746$	−0.653020	+	0.212179i	−0.0239088	+	0.00776843i
$747$	−8.77586	−	5.49731i	−0.321092	−	0.201136i
$748$	−13.4416	−	18.5008i	−0.491474	−	0.676456i
$749$	−2.52486	−	1.45773i	−0.0922564	−	0.0532643i
$750$	−5.27211	−	18.6334i	−0.192510	−	0.680397i
$751$	−23.2908	−	10.3698i	−0.849895	−	0.378398i	−0.0648939	−	0.997892i	$-0.520671\pi$
$751$	−23.2908	−	10.3698i	−0.849895	−	0.378398i	−0.785001	+	0.619495i	$0.787338\pi$
$752$	5.02597	+	3.65158i	0.183278	+	0.133159i
$753$	−30.8592	+	33.0557i	−1.12457	+	1.20462i
$754$	25.7619	+	5.47587i	0.938195	+	0.199419i
$755$	−7.45480	−	0.834872i	−0.271308	−	0.0303841i
$756$	−8.34525	+	4.23464i	−0.303514	+	0.154013i
$757$	−3.29301	−	3.65725i	−0.119686	−	0.132925i	0.680324	−	0.732912i	$-0.261839\pi$
$757$	−3.29301	−	3.65725i	−0.119686	−	0.132925i	−0.800010	+	0.599987i	$0.795173\pi$
$758$	2.56400	−	24.3948i	0.0931285	−	0.886059i
$759$	54.9525	−	4.77702i	1.99465	−	0.173395i
$760$	−1.32245	+	2.25496i	−0.0479703	+	0.0817960i
$761$	1.91155	−	18.1872i	0.0692937	−	0.659285i	−0.903655	−	0.428262i	$-0.859126\pi$
$761$	1.91155	−	18.1872i	0.0692937	−	0.659285i	0.972948	−	0.231023i	$-0.0742073\pi$
$762$	16.6971	+	7.79725i	0.604871	+	0.282465i
$763$	−25.8512	−	23.2765i	−0.935876	−	0.842667i
$764$	−13.9285	+	1.46395i	−0.503916	+	0.0529637i
$765$	−14.6191	−	37.0247i	−0.528555	−	1.33863i
$766$	−3.75424	−	8.43215i	−0.135646	−	0.304666i
$767$	−23.9417	+	32.9529i	−0.864484	+	1.18986i
$768$	1.73177	+	0.0311887i	0.0624899	+	0.00112542i
$769$	8.67323	+	15.0225i	0.312765	+	0.541724i	0.978960	−	0.204053i	$-0.0654115\pi$
$769$	8.67323	+	15.0225i	0.312765	+	0.541724i	−0.666195	+	0.745778i	$0.732078\pi$
$770$	11.4624	+	10.4629i	0.413075	+	0.377057i
$771$	21.9600	−	36.5017i	0.790869	−	1.31458i
$772$	−1.24546	−	5.85942i	−0.0448250	−	0.210885i
$773$	−10.1714	+	3.30489i	−0.365840	+	0.118869i	−0.486168	−	0.873866i	$-0.661606\pi$
$773$	−10.1714	+	3.30489i	−0.365840	+	0.118869i	0.120327	+	0.992734i	$0.461606\pi$
$774$	7.29676	−	7.53927i	0.262277	−	0.270993i
$775$	−2.16888	−	27.7542i	−0.0779085	−	0.996961i
$776$			17.2632i			0.619711i
$777$	−8.68426	+	7.54066i	−0.311546	+	0.270520i
$778$	−28.1448	+	5.98237i	−1.00904	+	0.214478i
$779$	0.364914	+	0.502261i	0.0130744	+	0.0179954i
$780$	−3.97722	+	11.2803i	−0.142407	+	0.403898i
$781$	−45.5957	+	26.3247i	−1.63154	+	0.941971i
$782$	−44.7973	−	19.9450i	−1.60195	−	0.713233i
$783$	37.2047	−	24.0732i	1.32959	−	0.860304i
$784$	3.43170	−	1.52789i	0.122561	−	0.0545676i
$785$	11.2519	−	24.8162i	0.401598	−	0.885728i
$786$	−11.8753	+	6.57398i	−0.423578	+	0.234486i
$787$	−32.0060	+	35.5462i	−1.14089	+	1.26709i	−0.182003	+	0.983298i	$0.558258\pi$
$787$	−32.0060	+	35.5462i	−1.14089	+	1.26709i	−0.958887	+	0.283789i	$0.908408\pi$
$788$	−13.5798	+	12.2273i	−0.483760	+	0.435579i
$789$	−1.94321	+	0.592919i	−0.0691799	+	0.0211085i
$790$	−13.7499	−	8.06380i	−0.489200	−	0.286897i
$791$	−24.2425	−	7.87687i	−0.861965	−	0.280069i
$792$	7.42165	+	8.86472i	0.263717	+	0.314994i
$793$	7.72426	−	6.95495i	0.274296	−	0.246978i
$794$	−25.2106	−	22.6998i	−0.894692	−	0.805584i
$795$	14.3724	−	4.27864i	0.509735	−	0.151748i
$796$	−1.90761	+	8.97460i	−0.0676135	+	0.318096i
$797$	−11.2772	−	25.3289i	−0.399458	−	0.897196i	−0.995546	−	0.0942775i	$-0.969946\pi$
$797$	−11.2772	−	25.3289i	−0.399458	−	0.897196i	0.596088	−	0.802919i	$-0.296721\pi$
$798$	0.822324	−	3.55289i	0.0291100	−	0.125771i
$799$	14.9941	−	33.6774i	0.530455	−	1.19142i
$800$	−0.454901	−	4.97926i	−0.0160832	−	0.176044i
$801$	0.834036	+	2.92085i	0.0294692	+	0.103203i
$802$	−1.11320	+	0.808786i	−0.0393084	+	0.0285592i
$803$	−42.4257	+	9.01786i	−1.49717	+	0.318234i
$804$	−1.01783	+	0.883798i	−0.0358962	+	0.0311692i
$805$	32.5039	+	7.14049i	1.14561	+	0.251669i
$806$	−8.79203	+	14.7771i	−0.309686	+	0.520501i
$807$	47.1403	−	19.9790i	1.65942	−	0.703295i
$808$	−11.1462	+	3.62161i	−0.392121	+	0.127408i
$809$	21.3809	−	4.54465i	0.751713	−	0.159782i	0.183907	−	0.982944i	$-0.441126\pi$
$809$	21.3809	−	4.54465i	0.751713	−	0.159782i	0.567806	+	0.823162i	$0.307792\pi$
$810$	8.65846	+	18.1668i	0.304227	+	0.638315i
$811$	13.7377	−	23.7945i	0.482397	−	0.835537i	−0.517399	−	0.855745i	$-0.673100\pi$
$811$	13.7377	−	23.7945i	0.482397	−	0.835537i	0.999796	+	0.0202080i	$0.00643285\pi$
$812$	13.3014	−	7.67955i	0.466787	−	0.269499i
$813$	−0.601725	+	33.4112i	−0.0211034	+	1.17178i
$814$	11.4952	+	8.35178i	0.402908	+	0.292730i
$815$	−4.02630	−	19.5972i	−0.141035	−	0.686462i
$816$	−1.95553	−	10.0902i	−0.0684574	−	0.353228i
$817$	0.427383	+	4.06628i	0.0149523	+	0.142261i
$818$	−19.5684	−	17.6195i	−0.684194	−	0.616051i
$819$	0.600819	−	16.6750i	0.0209943	−	0.582672i
$820$	−1.12680	−	0.374619i	−0.0393496	−	0.0130823i
$821$	−3.08295	+	9.48833i	−0.107596	+	0.331145i	−0.990331	−	0.138725i	$-0.955699\pi$
$821$	−3.08295	+	9.48833i	−0.107596	+	0.331145i	0.882735	+	0.469871i	$0.155699\pi$
$822$	−0.465872	+	0.0404983i	−0.0162492	+	0.00141254i
$823$	−3.49022	+	33.2073i	−0.121662	+	1.15753i	0.747936	+	0.663771i	$0.231045\pi$
$823$	−3.49022	+	33.2073i	−0.121662	+	1.15753i	−0.869597	+	0.493761i	$0.835622\pi$
$824$	−2.92066	+	2.62977i	−0.101746	+	0.0916124i
$825$	23.1050	−	24.0838i	0.804413	−	0.838489i
$826$	2.48292	+	23.6234i	0.0863917	+	0.821962i
$827$	0.492563	−	2.31733i	0.0171281	−	0.0805813i	−0.968753	−	0.248026i	$-0.920218\pi$
$827$	0.492563	−	2.31733i	0.0171281	−	0.0805813i	0.985881	+	0.167445i	$0.0535515\pi$
$828$	23.2866	+	8.50490i	0.809267	+	0.295566i
$829$	−18.4562	+	25.4028i	−0.641010	+	0.882275i	−0.998669	−	0.0515774i	$-0.983575\pi$
$829$	−18.4562	+	25.4028i	−0.641010	+	0.882275i	0.357659	+	0.933852i	$0.383575\pi$
$830$	−4.57923	+	6.21339i	−0.158948	+	0.215670i
$831$	−20.0157	−	15.1003i	−0.694336	−	0.523824i
$832$	−1.54414	+	2.67453i	−0.0535335	+	0.0927228i
$833$	−13.1022	−	18.0337i	−0.453965	−	0.624829i
$834$	10.7497	+	15.3703i	0.372231	+	0.532228i
$835$	2.93752	−	0.288544i	0.101657	−	0.00998546i
$836$	−4.50536			−0.155821
$837$	7.07399	+	28.0528i	0.244513	+	0.969646i
$838$			20.7162i			0.715631i
$839$	−24.2932	+	7.89334i	−0.838694	+	0.272508i	−0.696703	−	0.717360i	$-0.745350\pi$
$839$	−24.2932	+	7.89334i	−0.838694	+	0.272508i	−0.141991	+	0.989868i	$0.545350\pi$
$840$	2.67808	+	6.44056i	0.0924025	+	0.222221i
$841$	−35.3783	+	25.7038i	−1.21994	+	0.886340i
$842$	18.6281	−	32.2648i	0.641966	−	1.11192i
$843$	7.50029	−	9.94175i	0.258324	−	0.342412i
$844$	−21.8141	−	9.71228i	−0.750874	−	0.334311i
$845$	5.14137	+	5.78883i	0.176869	+	0.199142i
$846$	−6.39375	+	17.5063i	−0.219822	+	0.601878i
$847$	−1.44220	+	6.78504i	−0.0495547	+	0.233137i
$848$	3.85066	−	0.404721i	0.132232	−	0.0138982i
$849$	−41.4694	−	14.3048i	−1.42323	−	0.490939i
$850$	−28.3400	+	8.78353i	−0.972053	+	0.301273i
$851$	30.3015	+	3.18481i	1.03872	+	0.109174i
$852$	−23.5740	+	2.04929i	−0.807631	+	0.0702073i
$853$	−10.9607	−	3.56135i	−0.375287	−	0.121938i	0.115299	−	0.993331i	$-0.463217\pi$
$853$	−10.9607	−	3.56135i	−0.375287	−	0.121938i	−0.490586	+	0.871393i	$0.663217\pi$
$854$	0.633592	−	6.02822i	0.0216811	−	0.206282i
$855$	−7.59421	−	1.95743i	−0.259716	−	0.0669426i
$856$	−1.08320	+	1.20302i	−0.0370230	+	0.0411182i
$857$	4.35270	+	41.4132i	0.148686	+	1.41465i	0.773461	+	0.633844i	$0.218524\pi$
$857$	4.35270	+	41.4132i	0.148686	+	1.41465i	−0.624775	+	0.780804i	$0.714809\pi$
$858$	−20.2375	+	3.92214i	−0.690898	+	0.133899i
$859$	10.7717	+	24.1937i	0.367526	+	0.825477i	0.998755	+	0.0498806i	$0.0158841\pi$
$859$	10.7717	+	24.1937i	0.367526	+	0.825477i	−0.631229	+	0.775596i	$0.717449\pi$
$860$	−5.19314	−	5.84711i	−0.177084	−	0.199385i
$861$	1.65626	+	0.0298287i	0.0564450	+	0.00101656i
$862$	−23.7670	+	13.7219i	−0.809507	+	0.467369i
$863$	46.9875	+	27.1282i	1.59947	+	0.923455i	0.991589	+	0.129428i	$0.0413142\pi$
$863$	46.9875	+	27.1282i	1.59947	+	0.923455i	0.607883	+	0.794027i	$0.292019\pi$
$864$	1.33651	+	5.02133i	0.0454691	+	0.170829i
$865$	34.7119	+	0.236280i	1.18024	+	0.00803377i
$866$	3.06312	+	9.42731i	0.104089	+	0.320353i
$867$	−29.0436	+	12.3093i	−0.986373	+	0.418045i
$868$	1.95597	+	9.83482i	0.0663901	+	0.333815i
$869$		−	27.4720i		−	0.931925i
$870$	−15.7999	−	29.0054i	−0.535668	−	0.983374i
$871$	−0.499716	−	2.35098i	−0.0169322	−	0.0796598i
$872$	−15.6263	+	11.3532i	−0.529173	+	0.384466i
$873$	−49.7991	+	14.2199i	−1.68544	+	0.481271i
$874$	−8.36661	+	4.83047i	−0.283005	+	0.163393i
$875$	17.6399	−	9.70963i	0.596336	−	0.328245i
$876$	−18.9919	−	4.39571i	−0.641675	−	0.148517i
$877$	−16.3542	−	36.7322i	−0.552244	−	1.24036i	−0.946899	−	0.321530i	$-0.895803\pi$
$877$	−16.3542	−	36.7322i	−0.552244	−	1.24036i	0.394656	−	0.918829i	$-0.370864\pi$
$878$	−22.3698	−	4.75484i	−0.754943	−	0.160468i
$879$	6.44625	+	11.6446i	0.217427	+	0.392762i
$880$	7.00586	−	5.01755i	0.236167	−	0.169142i
$881$	−2.39897	−	2.66432i	−0.0808233	−	0.0897634i	0.701377	−	0.712791i	$-0.252569\pi$
$881$	−2.39897	−	2.66432i	−0.0808233	−	0.0897634i	−0.782200	+	0.623028i	$0.785902\pi$
$882$	7.23426	+	8.64089i	0.243590	+	0.290954i
$883$	−3.51171	+	10.8079i	−0.118179	+	0.363716i	−0.992597	−	0.121457i	$-0.961243\pi$
$883$	−3.51171	+	10.8079i	−0.118179	+	0.363716i	0.874418	+	0.485173i	$0.161243\pi$
$884$	17.4289	+	5.66300i	0.586198	+	0.190467i
$885$	50.9186	−	4.07734i	1.71161	−	0.137058i
$886$	−15.9616	−	17.7272i	−0.536242	−	0.595557i
$887$	−12.2140	+	13.5650i	−0.410106	+	0.455469i	−0.912444	−	0.409203i	$-0.865807\pi$
$887$	−12.2140	+	13.5650i	−0.410106	+	0.455469i	0.502337	+	0.864672i	$0.332474\pi$
$888$	3.09294	+	5.58711i	0.103792	+	0.187491i
$889$	−3.98386	+	18.7426i	−0.133615	+	0.628607i
$890$	2.21777	−	0.455646i	0.0743397	−	0.0152733i
$891$	−19.4588	+	28.7112i	−0.651893	+	0.961862i
$892$	22.6716	+	10.0941i	0.759103	+	0.337974i
$893$	−3.63141	−	6.28979i	−0.121521	−	0.210480i
$894$	15.2781	+	1.88451i	0.510976	+	0.0630276i
$895$	−14.5297	+	6.35088i	−0.485673	+	0.212286i
$896$	0.374445	+	1.76162i	0.0125093	+	0.0588518i
$897$	−33.3766	+	28.9814i	−1.11441	+	0.967660i
$898$	−0.878231			−0.0293069
$899$	−14.0794	−	45.3476i	−0.469573	−	1.51243i
$900$	13.9890	−	5.41374i	0.466299	−	0.180458i
$901$	−7.09987	−	21.8511i	−0.236531	−	0.727967i
$902$	−0.425494	−	2.00179i	−0.0141674	−	0.0666523i
$903$	9.34824	+	5.62405i	0.311090	+	0.187157i
$904$	−7.07673	+	12.2572i	−0.235368	+	0.407670i
$905$	−21.6938	+	6.88584i	−0.721125	+	0.228893i
$906$	0.104629	−	5.80962i	0.00347608	−	0.193012i
$907$	−11.4891	+	15.8134i	−0.381489	+	0.525075i	−0.955978	−	0.293437i	$-0.905201\pi$
$907$	−11.4891	+	15.8134i	−0.381489	+	0.525075i	0.574489	+	0.818512i	$0.305201\pi$
$908$	17.3932	−	7.74395i	0.577214	−	0.256992i
$909$	−19.6285	−	29.1702i	−0.651037	−	0.967514i
$910$	−12.3596	−	1.38417i	−0.409717	−	0.0458847i
$911$	−12.5843	+	13.9763i	−0.416938	+	0.463056i	−0.914627	−	0.404299i	$-0.867515\pi$
$911$	−12.5843	+	13.9763i	−0.416938	+	0.463056i	0.497689	+	0.867355i	$0.334182\pi$
$912$	−1.83471	−	0.856778i	−0.0607533	−	0.0283708i
$913$	−13.2297	−	1.39050i	−0.437839	−	0.0460188i
$914$	6.85263	−	21.0902i	0.226665	−	0.697602i
$915$	−12.9258	−	1.68376i	−0.427314	−	0.0556635i
$916$	−12.9940	−	1.36572i	−0.429333	−	0.0451248i
$917$	−9.44390	−	10.4885i	−0.311865	−	0.346361i
$918$	27.4964	−	13.9526i	0.907518	−	0.460504i
$919$	−0.171737	−	1.63397i	−0.00566508	−	0.0538996i	0.991324	−	0.131440i	$-0.0419600\pi$
$919$	−0.171737	−	1.63397i	−0.00566508	−	0.0538996i	−0.996989	+	0.0775403i	$0.975293\pi$
$920$	7.63050	−	16.8292i	0.251570	−	0.554841i
$921$	−2.20485	−	2.05834i	−0.0726523	−	0.0678247i
$922$	6.54566	+	4.75570i	0.215570	+	0.156621i
$923$	17.1608	−	38.5438i	0.564855	−	1.26868i
$924$	−7.24000	+	9.59673i	−0.238178	+	0.315709i
$925$	15.0604	−	10.6318i	0.495183	−	0.349572i
$926$	−9.52836	+	6.92276i	−0.313121	+	0.227496i
$927$	−9.99189	−	6.25904i	−0.328177	−	0.205574i
$928$	−2.63536	−	8.11079i	−0.0865098	−	0.266250i
$929$	34.8302			1.14274			0.571371	−	0.820692i	$-0.306412\pi$
$929$	34.8302			1.14274			0.571371	+	0.820692i	$0.306412\pi$
$930$	21.2475	−	3.68023i	0.696733	−	0.120680i
$931$	−4.39161			−0.143929
$932$	−2.78702	−	8.57756i	−0.0912918	−	0.280967i
$933$	−32.1298	−	45.9403i	−1.05188	−	1.50402i
$934$	10.7317	−	7.79704i	0.351152	−	0.255127i
$935$	−37.7669	−	34.4738i	−1.23511	−	1.12741i
$936$	−8.98716	−	2.25134i	−0.293754	−	0.0735873i
$937$	−9.70137	+	21.7896i	−0.316930	+	0.711836i	−0.999826	−	0.0186797i	$-0.994054\pi$
$937$	−9.70137	+	21.7896i	−0.316930	+	0.711836i	0.682896	+	0.730516i	$0.260720\pi$
$938$	−1.13395	−	0.823862i	−0.0370247	−	0.0269000i
$939$	10.2520	−	10.9818i	0.334563	−	0.358376i
$940$	12.6517	+	5.73640i	0.412653	+	0.187101i
$941$	2.07826	+	19.7733i	0.0677493	+	0.644591i	0.974725	+	0.223408i	$0.0717183\pi$
$941$	2.07826	+	19.7733i	0.0677493	+	0.644591i	−0.906976	+	0.421183i	$0.861615\pi$
$942$	19.9524	+	6.88255i	0.650086	+	0.224246i
$943$	−2.93639	−	3.26120i	−0.0956221	−	0.106199i
$944$	13.1169	+	1.37865i	0.426920	+	0.0448711i
$945$	−16.3731	+	13.0306i	−0.532618	+	0.423887i
$946$	4.16493	−	12.8184i	0.135414	−	0.416761i
$947$	7.70638	+	0.809973i	0.250424	+	0.0263206i	0.228909	−	0.973448i	$-0.426484\pi$
$947$	7.70638	+	0.809973i	0.250424	+	0.0263206i	0.0215151	+	0.999769i	$0.493151\pi$
$948$	5.22431	−	11.1874i	0.169678	−	0.363349i
$949$	23.2577	−	25.8303i	0.754977	−	0.838487i
$950$	−1.88184	+	5.53419i	−0.0610549	+	0.179553i
$951$	−32.0346	+	6.20847i	−1.03879	+	0.201323i
$952$	9.76305	−	4.34679i	0.316422	−	0.140880i
$953$	21.6692	−	29.8251i	0.701935	−	0.966131i	−0.297998	−	0.954567i	$-0.596319\pi$
$953$	21.6692	−	29.8251i	0.701935	−	0.966131i	0.999933	−	0.0115645i	$-0.00368117\pi$
$954$	4.33934	+	10.7746i	0.140491	+	0.348842i
$955$	−29.8491	+	9.47443i	−0.965895	+	0.306585i
$956$	1.28215	−	2.22076i	0.0414678	−	0.0718244i
$957$	29.3456	−	48.7781i	0.948610	−	1.57677i
$958$	−4.47391	−	21.0481i	−0.144545	−	0.680033i
$959$	−0.150256	−	0.462441i	−0.00485203	−	0.0149330i
$960$	3.80716	−	0.710994i	0.122876	−	0.0229472i
$961$	30.9893	+	0.813263i	0.999656	+	0.0262343i
$962$	−11.3865			−0.367117
$963$	−4.36259	−	2.13377i	−0.140582	−	0.0687597i
$964$	1.53891	+	7.24002i	0.0495651	+	0.233185i
$965$	−5.36472	−	12.2735i	−0.172697	−	0.395099i
$966$	−3.15570	+	25.5839i	−0.101533	+	0.823147i
$967$	−12.6829	−	21.9675i	−0.407856	−	0.706427i	0.586794	−	0.809737i	$-0.300390\pi$
$967$	−12.6829	−	21.9675i	−0.407856	−	0.706427i	−0.994649	+	0.103310i	$0.967057\pi$
$968$	3.51859	+	1.56658i	0.113092	+	0.0503517i
$969$	−2.70945	+	11.7063i	−0.0870399	+	0.376060i
$970$	7.76853	+	37.8118i	0.249432	+	1.21406i
$971$	−8.84464	+	41.6107i	−0.283838	+	1.33535i	0.572911	+	0.819618i	$0.305814\pi$
$971$	−8.84464	+	41.6107i	−0.283838	+	1.33535i	−0.856749	+	0.515734i	$0.827519\pi$
$972$	−13.3841	+	7.99157i	−0.429296	+	0.256330i
$973$	−13.0499	+	14.4934i	−0.418361	+	0.464637i
$974$	−6.47939	−	7.19609i	−0.207613	−	0.230578i
$975$	−3.63520	+	26.4971i	−0.116420	+	0.848588i
$976$	−3.20090	−	1.04004i	−0.102458	−	0.0332907i
$977$	6.12001	−	18.8355i	0.195797	−	0.602600i	−0.804170	−	0.594400i	$-0.797390\pi$
$977$	6.12001	−	18.8355i	0.195797	−	0.602600i	0.999966	−	0.00820026i	$-0.00261025\pi$
$978$	14.8224	−	4.52267i	0.473968	−	0.144619i
$979$	2.61099	+	2.89980i	0.0834477	+	0.0926781i
$980$	6.82896	−	4.89086i	0.218143	−	0.156233i
$981$	−45.6220	−	35.7254i	−1.45660	−	1.14062i
$982$	7.07166	+	1.50313i	0.225666	+	0.0479668i
$983$	2.35183	+	5.28229i	0.0750117	+	0.168479i	0.947159	−	0.320764i	$-0.103940\pi$
$983$	2.35183	+	5.28229i	0.0750117	+	0.168479i	−0.872147	+	0.489243i	$0.837273\pi$
$984$	0.207405	−	0.896101i	0.00661182	−	0.0285667i
$985$	−24.2417	+	32.8926i	−0.772404	+	1.04805i
$986$	−43.8262	+	25.3031i	−1.39571	+	0.805814i
$987$	−19.2333	−	2.37237i	−0.612201	−	0.0755134i
$988$	2.92091	−	2.12217i	0.0929266	−	0.0675152i
$989$	−6.00888	−	28.2696i	−0.191071	−	0.898920i
$990$	20.2450	+	16.0768i	0.643427	+	0.510954i
$991$		−	36.8680i		−	1.17115i	−0.810618	−	0.585575i	$-0.800869\pi$
$991$		−	36.8680i		−	1.17115i	0.810618	−	0.585575i	$-0.199131\pi$
$992$	5.56729	+	0.0730395i	0.176761	+	0.00231901i
$993$	10.2147	+	24.1014i	0.324153	+	0.764835i
$994$	−7.60323	−	23.4003i	−0.241160	−	0.742214i
$995$	−0.139648	+	20.5157i	−0.00442714	+	0.650391i
$996$	−5.12308	−	3.08212i	−0.162331	−	0.0976608i
$997$	−8.90233	−	5.13976i	−0.281940	−	0.162778i	0.352362	−	0.935864i	$-0.385379\pi$
$997$	−8.90233	−	5.13976i	−0.281940	−	0.162778i	−0.634301	+	0.773086i	$0.718712\pi$
$998$	−16.1145	+	9.30369i	−0.510095	+	0.294503i
$999$	−13.5694	+	13.5244i	−0.429318	+	0.427892i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bo.a.179.7	✓	256
3.2	odd	2		930.2.bo.b.179.2	yes	256
5.4	even	2		930.2.bo.b.179.26	yes	256
15.14	odd	2	inner	930.2.bo.a.179.31	yes	256
31.22	odd	30	inner	930.2.bo.a.239.31	yes	256
93.53	even	30		930.2.bo.b.239.26	yes	256
155.84	odd	30		930.2.bo.b.239.2	yes	256
465.239	even	30	inner	930.2.bo.a.239.7	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bo.a.179.7	✓	256	1.1	even	1	trivial
930.2.bo.a.179.31	yes	256	15.14	odd	2	inner
930.2.bo.a.239.7	yes	256	465.239	even	30	inner
930.2.bo.a.239.31	yes	256	31.22	odd	30	inner
930.2.bo.b.179.2	yes	256	3.2	odd	2
930.2.bo.b.179.26	yes	256	5.4	even	2
930.2.bo.b.239.2	yes	256	155.84	odd	30
930.2.bo.b.239.26	yes	256	93.53	even	30

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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bo (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.41936 + 0.992677i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.50750 + 1.65150i) q^{5} +(-1.38270 - 1.04314i) q^{6} +(0.732525 - 1.64528i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.02919 - 2.81794i) q^{9} +O(q^{10})\)	\(q+(0.309017 + 0.951057i) q^{2} +(-1.41936 + 0.992677i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.50750 + 1.65150i) q^{5} +(-1.38270 - 1.04314i) q^{6} +(0.732525 - 1.64528i) q^{7} +(-0.809017 - 0.587785i) q^{8} +(1.02919 - 2.81794i) q^{9} +(-2.03651 - 0.923374i) q^{10} +(-0.402829 - 3.83266i) q^{11} +(0.564809 - 1.63737i) q^{12} +(2.06647 + 2.29504i) q^{13} +(1.79111 + 0.188254i) q^{14} +(0.500282 - 3.84054i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-5.90148 - 0.620270i) q^{17} +(2.99805 + 0.108023i) q^{18} +(-0.782266 + 0.868795i) q^{19} +(0.248864 - 2.22218i) q^{20} +(0.593510 + 3.06241i) q^{21} +(3.52060 - 1.56747i) q^{22} +(4.85729 - 6.68549i) q^{23} +(1.73177 + 0.0311887i) q^{24} +(-0.454901 - 4.97926i) q^{25} +(-1.54414 + 2.67453i) q^{26} +(1.33651 + 5.02133i) q^{27} +(0.374445 + 1.76162i) q^{28} +(-2.63536 - 8.11079i) q^{29} +(3.80716 - 0.710994i) q^{30} +(5.56729 + 0.0730395i) q^{31} +1.00000 q^{32} +(4.37636 + 5.04006i) q^{33} +(-1.23374 - 5.80431i) q^{34} +(1.61290 + 3.69002i) q^{35} +(0.823714 + 2.88470i) q^{36} +(1.84350 + 3.19304i) q^{37} +(-1.06801 - 0.475507i) q^{38} +(-5.21130 - 1.20617i) q^{39} +(2.19032 - 0.450006i) q^{40} +(0.110410 - 0.519436i) q^{41} +(-2.72912 + 1.51080i) q^{42} +(2.34019 - 2.59904i) q^{43} +(2.57868 + 2.86391i) q^{44} +(3.10233 + 5.94774i) q^{45} +(7.85926 + 2.55363i) q^{46} +(-1.91975 + 5.90838i) q^{47} +(0.505484 + 1.65665i) q^{48} +(2.51357 + 2.79160i) q^{49} +(4.59499 - 1.97131i) q^{50} +(8.99207 - 4.97787i) q^{51} +(-3.02080 - 0.642091i) q^{52} +(1.57483 + 3.53713i) q^{53} +(-4.36256 + 2.82277i) q^{54} +(6.93691 + 5.11246i) q^{55} +(-1.55970 + 0.900490i) q^{56} +(0.247888 - 2.00967i) q^{57} +(6.89945 - 5.01274i) q^{58} +(2.74219 + 12.9010i) q^{59} +(1.85267 + 3.40112i) q^{60} -3.36563i q^{61} +(1.65092 + 5.31737i) q^{62} +(-3.88239 - 3.75751i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-6.90546 - 0.0470047i) q^{65} +(-3.44102 + 5.71963i) q^{66} +(-0.673996 - 0.389132i) q^{67} +(5.13898 - 2.96699i) q^{68} +(-0.257734 + 14.3109i) q^{69} +(-3.01100 + 2.67423i) q^{70} +(-5.55674 - 12.4806i) q^{71} +(-2.48897 + 1.67482i) q^{72} +(-1.17645 - 11.1932i) q^{73} +(-2.46709 + 2.73998i) q^{74} +(5.58847 + 6.61582i) q^{75} +(0.122202 - 1.16267i) q^{76} +(-6.60088 - 2.14476i) q^{77} +(-0.463247 - 5.32897i) q^{78} +(7.08955 + 0.745142i) q^{79} +(1.10483 + 1.94406i) q^{80} +(-6.88155 - 5.80036i) q^{81} +(0.528132 - 0.0555089i) q^{82} +(0.717676 - 3.37640i) q^{83} +(-2.28020 - 2.12868i) q^{84} +(9.92084 - 8.81123i) q^{85} +(3.19499 + 1.42250i) q^{86} +(11.7919 + 8.89610i) q^{87} +(-1.92689 + 3.33747i) q^{88} +(-0.819155 + 0.595151i) q^{89} +(-4.69796 + 4.78844i) q^{90} +(5.28972 - 1.71873i) q^{91} +8.26372i q^{92} +(-7.97451 + 5.42284i) q^{93} -6.21244 q^{94} +(-0.255549 - 2.60162i) q^{95} +(-1.41936 + 0.992677i) q^{96} +(-10.1470 - 13.9662i) q^{97} +(-1.87823 + 3.25320i) q^{98} +(-11.2148 - 2.80938i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9}+O(q^{10}) \) 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9	\( 256 q - 64 q^{2} - 64 q^{4} - 2 q^{5} - 64 q^{8} + 4 q^{9} - 2 q^{10} + 20 q^{15} - 64 q^{16} - 6 q^{17} - 6 q^{18} - 4 q^{19} + 3 q^{20} + 20 q^{23} - 2 q^{25} + 42 q^{31} + 256 q^{32} + 8 q^{33} + 14 q^{34} - 16 q^{35} + 4 q^{36} + 36 q^{38} + 8 q^{39} + 3 q^{40} - 79 q^{45} - 10 q^{46} - 6 q^{47} - 40 q^{49} - 7 q^{50} + 68 q^{51} - 34 q^{53} - 6 q^{57} - 20 q^{60} + 2 q^{62} - 72 q^{63} - 64 q^{64} + 8 q^{66} - 6 q^{68} + 10 q^{69} - 16 q^{70} - 6 q^{72} - 2 q^{75} - 24 q^{76} + 100 q^{77} + 8 q^{78} + 40 q^{79} - 2 q^{80} + 12 q^{81} - 26 q^{83} - 30 q^{85} + 16 q^{87} - 49 q^{90} - 20 q^{91} - 22 q^{93} + 4 q^{94} + 56 q^{95} + 130 q^{98} + 102 q^{99}+O(q^{100}) \) 256 * q - 64 * q^2 - 64 * q^4 - 2 * q^5 - 64 * q^8 + 4 * q^9 - 2 * q^10 + 20 * q^15 - 64 * q^16 - 6 * q^17 - 6 * q^18 - 4 * q^19 + 3 * q^20 + 20 * q^23 - 2 * q^25 + 42 * q^31 + 256 * q^32 + 8 * q^33 + 14 * q^34 - 16 * q^35 + 4 * q^36 + 36 * q^38 + 8 * q^39 + 3 * q^40 - 79 * q^45 - 10 * q^46 - 6 * q^47 - 40 * q^49 - 7 * q^50 + 68 * q^51 - 34 * q^53 - 6 * q^57 - 20 * q^60 + 2 * q^62 - 72 * q^63 - 64 * q^64 + 8 * q^66 - 6 * q^68 + 10 * q^69 - 16 * q^70 - 6 * q^72 - 2 * q^75 - 24 * q^76 + 100 * q^77 + 8 * q^78 + 40 * q^79 - 2 * q^80 + 12 * q^81 - 26 * q^83 - 30 * q^85 + 16 * q^87 - 49 * q^90 - 20 * q^91 - 22 * q^93 + 4 * q^94 + 56 * q^95 + 130 * q^98 + 102 * q^99

Introduction

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