LMFDB - Embedded newform 230.2.l.a.107.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(44))

chi = DirichletCharacter(H, H._module([11, 38]))

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

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

chi := DirichletCharacter("230.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, 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:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			107.2
Character	$\chi$	$=$	230.107
Dual form			230.2.l.a.43.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.800541 + 0.599278i) q^{2} +(-0.521099 - 0.194360i) q^{3} +(0.281733 - 0.959493i) q^{4} +(2.23458 - 0.0815780i) q^{5} +(0.533637 - 0.156690i) q^{6} +(-0.513165 + 0.111632i) q^{7} +(0.349464 + 0.936950i) q^{8} +(-2.03348 - 1.76202i) q^{9} +O(q^{10})$	\(q+(-0.800541 + 0.599278i) q^{2} +(-0.521099 - 0.194360i) q^{3} +(0.281733 - 0.959493i) q^{4} +(2.23458 - 0.0815780i) q^{5} +(0.533637 - 0.156690i) q^{6} +(-0.513165 + 0.111632i) q^{7} +(0.349464 + 0.936950i) q^{8} +(-2.03348 - 1.76202i) q^{9} +(-1.73999 + 1.40444i) q^{10} +(5.19978 - 0.747615i) q^{11} +(-0.333298 + 0.445233i) q^{12} +(0.280068 - 1.28745i) q^{13} +(0.343911 - 0.396895i) q^{14} +(-1.18029 - 0.391802i) q^{15} +(-0.841254 - 0.540641i) q^{16} +(0.506456 - 0.927505i) q^{17} +(2.68382 + 0.191951i) q^{18} +(7.10873 + 2.08731i) q^{19} +(0.551280 - 2.16705i) q^{20} +(0.289107 + 0.0415673i) q^{21} +(-3.71461 + 3.71461i) q^{22} +(-0.244437 + 4.78960i) q^{23} -0.556166i q^{24} +(4.98669 - 0.364585i) q^{25} +(0.547335 + 1.19850i) q^{26} +(1.51680 + 2.77782i) q^{27} +(-0.0374650 + 0.523829i) q^{28} +(-2.19483 - 7.47492i) q^{29} +(1.17967 - 0.393669i) q^{30} +(-0.970886 + 2.12594i) q^{31} +(0.997452 - 0.0713392i) q^{32} +(-2.85491 - 0.621047i) q^{33} +(0.150394 + 1.04601i) q^{34} +(-1.13760 + 0.291314i) q^{35} +(-2.26354 + 1.45469i) q^{36} +(0.0455108 + 0.636324i) q^{37} +(-6.94171 + 2.58912i) q^{38} +(-0.396172 + 0.616456i) q^{39} +(0.857340 + 2.06518i) q^{40} +(-4.77453 - 5.51010i) q^{41} +(-0.256352 + 0.139979i) q^{42} +(-3.34529 + 8.96907i) q^{43} +(0.747615 - 5.19978i) q^{44} +(-4.68772 - 3.77149i) q^{45} +(-2.67462 - 3.98076i) q^{46} +(-8.00971 - 8.00971i) q^{47} +(0.333298 + 0.445233i) q^{48} +(-6.11655 + 2.79333i) q^{49} +(-3.77356 + 3.28028i) q^{50} +(-0.444184 + 0.384887i) q^{51} +(-1.15640 - 0.631441i) q^{52} +(-0.298972 - 1.37435i) q^{53} +(-2.87895 - 1.31477i) q^{54} +(11.5583 - 2.09479i) q^{55} +(-0.283927 - 0.441798i) q^{56} +(-3.29866 - 2.46935i) q^{57} +(6.23661 + 4.66867i) q^{58} +(-2.55877 - 3.98152i) q^{59} +(-0.708459 + 1.02210i) q^{60} +(8.94703 + 4.08597i) q^{61} +(-0.496796 - 2.28374i) q^{62} +(1.24021 + 0.677206i) q^{63} +(-0.755750 + 0.654861i) q^{64} +(0.520807 - 2.89976i) q^{65} +(2.65765 - 1.21371i) q^{66} +(-2.27917 - 3.04461i) q^{67} +(-0.747249 - 0.747249i) q^{68} +(1.05828 - 2.44835i) q^{69} +(0.736119 - 0.914948i) q^{70} +(-1.06605 + 7.41456i) q^{71} +(0.940296 - 2.52103i) q^{72} +(-10.9071 + 5.95574i) q^{73} +(-0.417768 - 0.482130i) q^{74} +(-2.66942 - 0.779228i) q^{75} +(4.00552 - 6.23271i) q^{76} +(-2.58489 + 0.964113i) q^{77} +(-0.0522761 - 0.730916i) q^{78} +(-5.14789 + 3.30835i) q^{79} +(-1.92395 - 1.13948i) q^{80} +(0.898263 + 6.24755i) q^{81} +(7.12428 + 1.54979i) q^{82} +(-4.31503 + 0.308617i) q^{83} +(0.121334 - 0.265685i) q^{84} +(1.05605 - 2.11390i) q^{85} +(-2.69692 - 9.18487i) q^{86} +(-0.309099 + 4.32176i) q^{87} +(2.51761 + 4.61066i) q^{88} +(3.33441 + 7.30135i) q^{89} +(6.01288 + 0.209988i) q^{90} +0.691940i q^{91} +(4.52672 + 1.58392i) q^{92} +(0.919126 - 0.919126i) q^{93} +(11.2121 + 1.61206i) q^{94} +(16.0553 + 4.08435i) q^{95} +(-0.533637 - 0.156690i) q^{96} +(5.84842 + 0.418287i) q^{97} +(3.22257 - 5.90169i) q^{98} +(-11.8910 - 7.64185i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 240 * q - 8 * q^3 - 8 * q^6	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{17}{22}\right)$

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 $

$2$	−0.800541	+	0.599278i	−0.566068	+	0.423753i
$2$	−0.800541	+	0.599278i	−0.566068	+	0.423753i
$3$	−0.521099	−	0.194360i	−0.300857	−	0.112214i	0.194502	−	0.980902i	$-0.437691\pi$
$3$	−0.521099	−	0.194360i	−0.300857	−	0.112214i	−0.495359	+	0.868688i	$0.664964\pi$
$4$	0.281733	−	0.959493i	0.140866	−	0.479746i
$5$	2.23458	−	0.0815780i	0.999334	−	0.0364828i
$5$	2.23458	−	0.0815780i	0.999334	−	0.0364828i
$6$	0.533637	−	0.156690i	0.217856	−	0.0639684i
$7$	−0.513165	+	0.111632i	−0.193958	+	0.0421930i	−0.308495	−	0.951226i	$-0.599825\pi$
$7$	−0.513165	+	0.111632i	−0.193958	+	0.0421930i	0.114537	+	0.993419i	$0.463462\pi$
$8$	0.349464	+	0.936950i	0.123554	+	0.331262i
$9$	−2.03348	−	1.76202i	−0.677827	−	0.587340i
$10$	−1.73999	+	1.40444i	−0.550232	+	0.444123i
$11$	5.19978	−	0.747615i	1.56779	−	0.225414i	0.697002	−	0.717070i	$-0.254517\pi$
$11$	5.19978	−	0.747615i	1.56779	−	0.225414i	0.870790	+	0.491655i	$0.163608\pi$
$12$	−0.333298	+	0.445233i	−0.0962147	+	0.128528i
$13$	0.280068	−	1.28745i	0.0776769	−	0.357075i	−0.921859	−	0.387525i	$-0.873330\pi$
$13$	0.280068	−	1.28745i	0.0776769	−	0.357075i	0.999536	+	0.0304495i	$0.00969388\pi$
$14$	0.343911	−	0.396895i	0.0919141	−	0.106075i
$15$	−1.18029	−	0.391802i	−0.304750	−	0.101163i
$16$	−0.841254	−	0.540641i	−0.210313	−	0.135160i
$17$	0.506456	−	0.927505i	0.122834	−	0.224953i	−0.809025	−	0.587774i	$-0.800004\pi$
$17$	0.506456	−	0.927505i	0.122834	−	0.224953i	0.931859	+	0.362821i	$0.118186\pi$
$18$	2.68382	+	0.191951i	0.632583	+	0.0452433i
$19$	7.10873	+	2.08731i	1.63085	+	0.478862i	0.963906	−	0.266243i	$-0.0857822\pi$
$19$	7.10873	+	2.08731i	1.63085	+	0.478862i	0.666948	+	0.745104i	$0.267600\pi$
$20$	0.551280	−	2.16705i	0.123270	−	0.484566i
$21$	0.289107	+	0.0415673i	0.0630883	+	0.00907072i
$22$	−3.71461	+	3.71461i	−0.791957	+	0.791957i
$23$	−0.244437	+	4.78960i	−0.0509687	+	0.998700i
$23$	−0.244437	+	4.78960i	−0.0509687	+	0.998700i
$24$		−	0.556166i		−	0.113527i
$25$	4.98669	−	0.364585i	0.997338	−	0.0729170i
$26$	0.547335	+	1.19850i	0.107341	+	0.235045i
$27$	1.51680	+	2.77782i	0.291909	+	0.534591i
$28$	−0.0374650	+	0.523829i	−0.00708021	+	0.0989943i
$29$	−2.19483	−	7.47492i	−0.407571	−	1.38806i	−0.866319	−	0.499492i	$-0.833520\pi$
$29$	−2.19483	−	7.47492i	−0.407571	−	1.38806i	0.458748	−	0.888566i	$-0.348298\pi$
$30$	1.17967	−	0.393669i	0.215378	−	0.0718738i
$31$	−0.970886	+	2.12594i	−0.174376	+	0.381831i	−0.976560	−	0.215247i	$-0.930944\pi$
$31$	−0.970886	+	2.12594i	−0.174376	+	0.381831i	0.802183	+	0.597078i	$0.203672\pi$
$32$	0.997452	−	0.0713392i	0.176326	−	0.0126111i
$33$	−2.85491	−	0.621047i	−0.496975	−	0.108110i
$34$	0.150394	+	1.04601i	0.0257924	+	0.179390i
$35$	−1.13760	+	0.291314i	−0.192290	+	0.0492411i
$36$	−2.26354	+	1.45469i	−0.377257	+	0.242449i
$37$	0.0455108	+	0.636324i	0.00748193	+	0.104611i	0.999821	−	0.0189355i	$-0.00602773\pi$
$37$	0.0455108	+	0.636324i	0.00748193	+	0.104611i	−0.992339	+	0.123547i	$0.960573\pi$
$38$	−6.94171	+	2.58912i	−1.12609	+	0.420011i
$39$	−0.396172	+	0.616456i	−0.0634384	+	0.0987120i
$40$	0.857340	+	2.06518i	0.135557	+	0.326534i
$41$	−4.77453	−	5.51010i	−0.745656	−	0.860533i	0.248484	−	0.968636i	$-0.420068\pi$
$41$	−4.77453	−	5.51010i	−0.745656	−	0.860533i	−0.994140	+	0.108103i	$0.965522\pi$
$42$	−0.256352	+	0.139979i	−0.0395560	+	0.0215992i
$43$	−3.34529	+	8.96907i	−0.510152	+	1.36777i	0.385374	+	0.922761i	$0.374072\pi$
$43$	−3.34529	+	8.96907i	−0.510152	+	1.36777i	−0.895526	+	0.445010i	$0.853200\pi$
$44$	0.747615	−	5.19978i	0.112707	−	0.783896i
$45$	−4.68772	−	3.77149i	−0.698803	−	0.562220i
$46$	−2.67462	−	3.98076i	−0.394351	−	0.586931i
$47$	−8.00971	−	8.00971i	−1.16834	−	1.16834i	−0.982600	−	0.185736i	$-0.940533\pi$
$47$	−8.00971	−	8.00971i	−1.16834	−	1.16834i	−0.185736	−	0.982600i	$-0.559467\pi$
$48$	0.333298	+	0.445233i	0.0481074	+	0.0642639i
$49$	−6.11655	+	2.79333i	−0.873792	+	0.399048i
$50$	−3.77356	+	3.28028i	−0.533662	+	0.463901i
$51$	−0.444184	+	0.384887i	−0.0621982	+	0.0538950i
$52$	−1.15640	−	0.631441i	−0.160363	−	0.0875651i
$53$	−0.298972	−	1.37435i	−0.0410670	−	0.188782i	0.952044	−	0.305962i	$-0.0989781\pi$
$53$	−0.298972	−	1.37435i	−0.0410670	−	0.188782i	−0.993111	+	0.117180i	$0.962614\pi$
$54$	−2.87895	−	1.31477i	−0.391775	−	0.178918i
$55$	11.5583	−	2.09479i	1.55852	−	0.282462i
$56$	−0.283927	−	0.441798i	−0.0379413	−	0.0590378i
$57$	−3.29866	−	2.46935i	−0.436918	−	0.327073i
$58$	6.23661	+	4.66867i	0.818907	+	0.613026i
$59$	−2.55877	−	3.98152i	−0.333124	−	0.518350i	0.633773	−	0.773519i	$-0.281505\pi$
$59$	−2.55877	−	3.98152i	−0.333124	−	0.518350i	−0.966897	+	0.255169i	$0.917869\pi$
$60$	−0.708459	+	1.02210i	−0.0914616	+	0.131952i
$61$	8.94703	+	4.08597i	1.14555	+	0.523155i	0.895493	−	0.445076i	$-0.146823\pi$
$61$	8.94703	+	4.08597i	1.14555	+	0.523155i	0.250057	+	0.968231i	$0.419551\pi$
$62$	−0.496796	−	2.28374i	−0.0630932	−	0.290035i
$63$	1.24021	+	0.677206i	0.156252	+	0.0853199i
$64$	−0.755750	+	0.654861i	−0.0944687	+	0.0818576i
$65$	0.520807	−	2.89976i	0.0645981	−	0.359671i
$66$	2.65765	−	1.21371i	0.327134	−	0.149397i
$67$	−2.27917	−	3.04461i	−0.278445	−	0.371959i	0.639416	−	0.768861i	$-0.279176\pi$
$67$	−2.27917	−	3.04461i	−0.278445	−	0.371959i	−0.917861	+	0.396902i	$0.870085\pi$
$68$	−0.747249	−	0.747249i	−0.0906173	−	0.0906173i
$69$	1.05828	−	2.44835i	0.127402	−	0.294746i
$70$	0.736119	−	0.914948i	0.0879830	−	0.109357i
$71$	−1.06605	+	7.41456i	−0.126517	+	0.879947i	0.823404	+	0.567456i	$0.192072\pi$
$71$	−1.06605	+	7.41456i	−0.126517	+	0.879947i	−0.949921	+	0.312491i	$0.898837\pi$
$72$	0.940296	−	2.52103i	0.110815	−	0.297106i
$73$	−10.9071	+	5.95574i	−1.27658	+	0.697066i	−0.967235	−	0.253883i	$-0.918292\pi$
$73$	−10.9071	+	5.95574i	−1.27658	+	0.697066i	−0.309347	+	0.950949i	$0.600110\pi$
$74$	−0.417768	−	0.482130i	−0.0485645	−	0.0560465i
$75$	−2.66942	−	0.779228i	−0.308238	−	0.0899775i
$76$	4.00552	−	6.23271i	0.459465	−	0.714941i
$77$	−2.58489	+	0.964113i	−0.294575	+	0.109871i
$78$	−0.0522761	−	0.730916i	−0.00591911	−	0.0827599i
$79$	−5.14789	+	3.30835i	−0.579183	+	0.372218i	−0.797190	−	0.603729i	$-0.793681\pi$
$79$	−5.14789	+	3.30835i	−0.579183	+	0.372218i	0.218007	+	0.975947i	$0.430045\pi$
$80$	−1.92395	−	1.13948i	−0.215104	−	0.127397i
$81$	0.898263	+	6.24755i	0.0998069	+	0.694173i
$82$	7.12428	+	1.54979i	0.786745	+	0.171146i
$83$	−4.31503	+	0.308617i	−0.473636	+	0.0338751i	−0.306117	−	0.951994i	$-0.599030\pi$
$83$	−4.31503	+	0.308617i	−0.473636	+	0.0338751i	−0.167519	+	0.985869i	$0.553575\pi$
$84$	0.121334	−	0.265685i	0.0132387	−	0.0289886i
$85$	1.05605	−	2.11390i	0.114545	−	0.229285i
$86$	−2.69692	−	9.18487i	−0.290816	−	0.990430i
$87$	−0.309099	+	4.32176i	−0.0331388	+	0.463342i
$88$	2.51761	+	4.61066i	0.268378	+	0.491498i
$89$	3.33441	+	7.30135i	0.353447	+	0.773942i	0.999939	+	0.0110208i	$0.00350810\pi$
$89$	3.33441	+	7.30135i	0.353447	+	0.773942i	−0.646492	+	0.762921i	$0.723765\pi$
$90$	6.01288	+	0.209988i	0.633813	+	0.0221347i
$91$			0.691940i			0.0725350i
$92$	4.52672	+	1.58392i	0.471943	+	0.165135i
$93$	0.919126	−	0.919126i	0.0953089	−	0.0953089i
$94$	11.2121	+	1.61206i	1.15644	+	0.166272i
$95$	16.0553	+	4.08435i	1.64724	+	0.419045i
$96$	−0.533637	−	0.156690i	−0.0544641	−	0.0159921i
$97$	5.84842	+	0.418287i	0.593817	+	0.0424707i	0.365014	−	0.931002i	$-0.381064\pi$
$97$	5.84842	+	0.418287i	0.593817	+	0.0424707i	0.228803	+	0.973473i	$0.426519\pi$
$98$	3.22257	−	5.90169i	0.325528	−	0.596161i
$99$	−11.8910	−	7.64185i	−1.19509	−	0.768035i
$100$	1.05510	−	4.88741i	0.105510	−	0.488741i
$101$	−4.75693	+	5.48979i	−0.473332	+	0.546254i	−0.941335	−	0.337472i	$-0.890428\pi$
$101$	−4.75693	+	5.48979i	−0.473332	+	0.546254i	0.468003	+	0.883727i	$0.344973\pi$
$102$	0.124933	−	0.574308i	0.0123702	−	0.0568649i
$103$	0.645076	−	0.861720i	0.0635612	−	0.0849078i	−0.767634	−	0.640888i	$-0.778566\pi$
$103$	0.645076	−	0.861720i	0.0635612	−	0.0849078i	0.831195	+	0.555980i	$0.187657\pi$
$104$	1.30415	−	0.187509i	0.127883	−	0.0183867i
$105$	0.649423	+	0.0693006i	0.0633772	+	0.00676305i
$106$	1.06296	+	0.921059i	0.103244	+	0.0894611i
$107$	0.738215	+	1.97923i	0.0713660	+	0.191340i	0.967736	−	0.251968i	$-0.0810777\pi$
$107$	0.738215	+	1.97923i	0.0713660	+	0.191340i	−0.896370	+	0.443307i	$0.853805\pi$
$108$	3.09263	−	0.672761i	0.297589	−	0.0647364i
$109$	−13.4556	+	3.95091i	−1.28881	+	0.378429i	−0.853142	−	0.521678i	$-0.825306\pi$
$109$	−13.4556	+	3.95091i	−1.28881	+	0.378429i	−0.435668	+	0.900107i	$0.643488\pi$
$110$	−7.99755	+	8.60361i	−0.762537	+	0.820322i
$111$	0.0999602	−	0.340433i	0.00948781	−	0.0323125i
$112$	0.492055	+	0.183527i	0.0464948	+	0.0173417i
$113$	16.4825	−	12.3386i	1.55054	−	1.16072i	0.625889	−	0.779912i	$-0.284736\pi$
$113$	16.4825	−	12.3386i	1.55054	−	1.16072i	0.924653	−	0.380810i	$-0.124355\pi$
$114$	4.12054			0.385924
$115$	−0.155488	+	10.7227i	−0.0144993	+	0.999895i
$116$	−7.79049			−0.723329
$117$	−2.83803	+	2.12452i	−0.262376	+	0.196412i
$118$	4.43444	+	1.65396i	0.408223	+	0.152259i
$119$	−0.156356	+	0.532500i	−0.0143331	+	0.0488142i
$120$	−0.0453709	−	1.24280i	−0.00414178	−	0.113451i
$121$	15.9243	−	4.67580i	1.44767	−	0.425073i
$122$	−9.61109	+	2.09077i	−0.870148	+	0.189289i
$123$	1.41706	+	3.79928i	0.127772	+	0.342570i
$124$	1.76630	+	1.53051i	0.158618	+	0.137443i
$125$	11.1134	−	1.22150i	0.994014	−	0.109254i
$126$	−1.39867	+	0.201099i	−0.124604	+	0.0179153i
$127$	9.97291	−	13.3222i	0.884952	−	1.18216i	−0.0974238	−	0.995243i	$-0.531060\pi$
$127$	9.97291	−	13.3222i	0.884952	−	1.18216i	0.982376	−	0.186915i	$-0.0598489\pi$
$128$	0.212565	−	0.977147i	0.0187883	−	0.0863684i
$129$	3.48646	−	4.02358i	0.306965	−	0.354257i
$130$	1.32084	+	2.63349i	0.115845	+	0.230972i
$131$	2.42557	+	1.55882i	0.211923	+	0.136195i	0.642297	−	0.766456i	$-0.277982\pi$
$131$	2.42557	+	1.55882i	0.211923	+	0.136195i	−0.430373	+	0.902651i	$0.641618\pi$
$132$	−1.40021	+	2.56429i	−0.121873	+	0.223193i
$133$	−3.88096	−	0.277572i	−0.336522	−	0.0240685i
$134$	3.64914	+	1.07148i	0.315237	+	0.0925620i
$135$	3.61603	+	6.08352i	0.311218	+	0.523586i
$136$	1.04601	+	0.150394i	0.0896949	+	0.0128962i
$137$	−5.57895	+	5.57895i	−0.476642	+	0.476642i	−0.904056	−	0.427414i	$-0.859425\pi$
$137$	−5.57895	+	5.57895i	−0.476642	+	0.476642i	0.427414	+	0.904056i	$0.359425\pi$
$138$	0.620041	+	2.59421i	0.0527814	+	0.220834i
$139$			3.74691i			0.317809i	0.987294	+	0.158904i	$0.0507962\pi$
$139$			3.74691i			0.317809i	−0.987294	+	0.158904i	$0.949204\pi$
$140$	−0.0409855	+	1.17359i	−0.00346391	+	0.0991867i
$141$	2.61709	+	5.73062i	0.220398	+	0.482605i
$142$	−3.58996	−	6.57453i	−0.301263	−	0.551722i
$143$	0.493773	−	6.90385i	0.0412914	−	0.577329i
$144$	0.758052	+	2.58169i	0.0631710	+	0.215141i
$145$	−5.51432	−	16.5243i	−0.457939	−	1.37226i
$146$	5.16246	−	11.3042i	0.427248	−	0.935543i
$147$	3.73024	−	0.266792i	0.307665	−	0.0220046i
$148$	0.623370	+	0.135606i	0.0512407	+	0.0111467i
$149$	−0.489978	−	3.40787i	−0.0401406	−	0.279184i	0.959859	−	0.280484i	$-0.0904951\pi$
$149$	−0.489978	−	3.40787i	−0.0401406	−	0.279184i	−0.999999	+	0.00130050i	$0.999586\pi$
$150$	2.60396	−	0.975920i	0.212612	−	0.0796836i
$151$	−3.28379	+	2.11036i	−0.267231	+	0.171739i	−0.667393	−	0.744705i	$-0.732590\pi$
$151$	−3.28379	+	2.11036i	−0.267231	+	0.171739i	0.400163	+	0.916444i	$0.368954\pi$
$152$	0.528540	+	7.38996i	0.0428703	+	0.599405i
$153$	−2.66415	+	0.993677i	−0.215384	+	0.0803340i
$154$	1.49154	−	2.32088i	0.120191	−	0.187022i
$155$	−1.99609	+	4.82979i	−0.160330	+	0.387938i
$156$	0.479871	+	0.553800i	0.0384204	+	0.0443395i
$157$	0.573827	−	0.313333i	0.0457964	−	0.0250067i	−0.456188	−	0.889884i	$-0.650785\pi$
$157$	0.573827	−	0.313333i	0.0457964	−	0.0250067i	0.501984	+	0.864877i	$0.332604\pi$
$158$	2.13848	−	5.73349i	0.170128	−	0.456132i
$159$	−0.111325	+	0.774282i	−0.00882864	+	0.0614046i
$160$	2.22307	−	0.240783i	0.175749	−	0.0190356i
$161$	−0.409237	−	2.48514i	−0.0322524	−	0.195857i
$162$	−4.46312	−	4.46312i	−0.350655	−	0.350655i
$163$	11.2753	+	15.0620i	0.883150	+	1.17975i	0.982790	+	0.184727i	$0.0591401\pi$
$163$	11.2753	+	15.0620i	0.883150	+	1.17975i	−0.0996395	+	0.995024i	$0.531769\pi$
$164$	−6.63204	+	3.02875i	−0.517875	+	0.236506i
$165$	−6.43018	−	1.15488i	−0.500589	−	0.0899073i
$166$	3.26941	−	2.83296i	0.253756	−	0.219880i
$167$	4.52013	+	2.46818i	0.349778	+	0.190993i	0.644527	−	0.764581i	$-0.277054\pi$
$167$	4.52013	+	2.46818i	0.349778	+	0.190993i	−0.294749	+	0.955575i	$0.595236\pi$
$168$	0.0620860	+	0.285405i	0.00479004	+	0.0220195i
$169$	10.2461	+	4.67925i	0.788163	+	0.359942i
$170$	0.421399	+	2.32513i	0.0323198	+	0.178329i
$171$	−10.7776	−	16.7702i	−0.824181	−	1.28245i
$172$	7.66328	+	5.73666i	0.584320	+	0.437416i
$173$	−17.6662	−	13.2248i	−1.34314	−	1.00546i	−0.997753	−	0.0669983i	$-0.978658\pi$
$173$	−17.6662	−	13.2248i	−1.34314	−	1.00546i	−0.345384	−	0.938461i	$-0.612251\pi$
$174$	−2.34249	−	3.64499i	−0.177584	−	0.276326i
$175$	−2.51830	+	0.743768i	−0.190365	+	0.0562236i
$176$	−4.77852	−	2.18228i	−0.360195	−	0.164495i
$177$	0.559524	+	2.57209i	0.0420564	+	0.193330i
$178$	−7.04487	−	3.84679i	−0.528036	−	0.288329i
$179$	−9.16886	+	7.94486i	−0.685312	+	0.593827i	−0.926339	−	0.376692i	$-0.877062\pi$
$179$	−9.16886	+	7.94486i	−0.685312	+	0.593827i	0.241026	+	0.970519i	$0.422516\pi$
$180$	−4.93940	+	3.43528i	−0.368161	+	0.256051i
$181$	−14.1674	+	6.47003i	−1.05305	+	0.480913i	−0.865275	−	0.501298i	$-0.832856\pi$
$181$	−14.1674	+	6.47003i	−1.05305	+	0.480913i	−0.187779	+	0.982211i	$0.560129\pi$
$182$	−0.414664	−	0.553927i	−0.0307370	−	0.0410598i
$183$	−3.86814	−	3.86814i	−0.285941	−	0.285941i
$184$	−4.57303	+	1.44477i	−0.337129	+	0.106510i
$185$	0.153607	+	1.41820i	0.0112934	+	0.104268i
$186$	−0.184987	+	1.28661i	−0.0135639	+	0.0943388i
$187$	1.94004	−	5.20145i	0.141870	−	0.380368i
$188$	−9.94185	+	5.42866i	−0.725084	+	0.395926i
$189$	−1.08847	−	1.25616i	−0.0791742	−	0.0913719i
$190$	−15.3006	+	6.35189i	−1.11002	+	0.460815i
$191$	2.83595	−	4.41282i	0.205202	−	0.319301i	−0.723365	−	0.690466i	$-0.757405\pi$
$191$	2.83595	−	4.41282i	0.205202	−	0.319301i	0.928567	+	0.371166i	$0.121042\pi$
$192$	0.521099	−	0.194360i	0.0376071	−	0.0140267i
$193$	−1.32771	−	18.5637i	−0.0955703	−	1.33625i	−0.788407	−	0.615154i	$-0.789094\pi$
$193$	−1.32771	−	18.5637i	−0.0955703	−	1.33625i	0.692837	−	0.721094i	$-0.256361\pi$
$194$	−4.93257	+	3.16997i	−0.354138	+	0.227591i
$195$	−0.834989	+	1.40984i	−0.0597948	+	0.100961i
$196$	0.956953	+	6.65576i	0.0683538	+	0.475411i
$197$	−17.4472	−	3.79540i	−1.24306	−	0.270411i	−0.457507	−	0.889206i	$-0.651258\pi$
$197$	−17.4472	−	3.79540i	−1.24306	−	0.270411i	−0.785553	+	0.618795i	$0.787621\pi$
$198$	14.0988	−	1.00837i	1.00196	−	0.0716614i
$199$	−9.28417	+	20.3295i	−0.658137	+	1.44112i	0.226111	+	0.974102i	$0.427399\pi$
$199$	−9.28417	+	20.3295i	−0.658137	+	1.44112i	−0.884248	+	0.467018i	$0.845328\pi$
$200$	2.08427	+	4.54487i	0.147380	+	0.321371i
$201$	0.595922	+	2.02952i	0.0420331	+	0.143152i
$202$	0.518210	−	7.24552i	0.0364611	−	0.509793i
$203$	1.96075	+	3.59085i	0.137618	+	0.252029i
$204$	0.244156	+	0.534626i	0.0170943	+	0.0374313i
$205$	−11.1186	−	11.9233i	−0.776554	−	0.832756i
$206$			1.07642i			0.0749979i
$207$	8.93643	−	9.30885i	0.621125	−	0.647010i
$208$	−0.931658	+	0.931658i	−0.0645988	+	0.0645988i
$209$	38.5243	+	5.53896i	2.66478	+	0.383138i
$210$	−0.561420	+	0.333707i	−0.0387417	+	0.0230279i
$211$	−7.94165	−	2.33188i	−0.546725	−	0.160533i	−0.00330619	−	0.999995i	$-0.501052\pi$
$211$	−7.94165	−	2.33188i	−0.546725	−	0.160533i	−0.543419	+	0.839461i	$0.682871\pi$
$212$	−1.40291	−	0.100338i	−0.0963524	−	0.00689126i
$213$	1.99661	−	3.65652i	0.136806	−	0.250541i
$214$	−1.77708	−	1.14206i	−0.121479	−	0.0780697i
$215$	−6.74364	+	20.3150i	−0.459912	+	1.38547i
$216$	−2.07261	+	2.39192i	−0.141023	+	0.162749i
$217$	0.260901	−	1.19934i	0.0177111	−	0.0814167i
$218$	8.40405	−	11.2265i	0.569194	−	0.760354i
$219$	6.84125	−	0.983623i	0.462289	−	0.0664671i
$220$	1.24642	−	11.6803i	0.0840335	−	0.787486i
$221$	−1.05228	−	0.911803i	−0.0707838	−	0.0613345i
$222$	0.123992	+	0.332435i	0.00832178	+	0.0223116i
$223$	5.74408	−	1.24955i	0.384652	−	0.0836760i	−0.0160811	−	0.999871i	$-0.505119\pi$
$223$	5.74408	−	1.24955i	0.384652	−	0.0836760i	0.400733	+	0.916195i	$0.368755\pi$
$224$	−0.503894	+	0.147957i	−0.0336678	+	0.00988577i
$225$	−10.7827	−	8.04527i	−0.718849	−	0.536352i
$226$	−5.80065	+	19.7552i	−0.385853	+	1.31410i
$227$	12.2015	+	4.55091i	0.809840	+	0.302055i	0.720064	−	0.693907i	$-0.244112\pi$
$227$	12.2015	+	4.55091i	0.809840	+	0.302055i	0.0897758	+	0.995962i	$0.471385\pi$
$228$	−3.29866	+	2.46935i	−0.218459	+	0.163537i
$229$	6.02979			0.398459			0.199230	−	0.979953i	$-0.436156\pi$
$229$	6.02979			0.398459			0.199230	+	0.979953i	$0.436156\pi$
$230$	−6.30139	−	8.67713i	−0.415501	−	0.572153i
$231$	1.53437			0.100954
$232$	6.23661	−	4.66867i	0.409453	−	0.306513i
$233$	6.42945	+	2.39806i	0.421207	+	0.157102i	0.551125	−	0.834422i	$-0.314199\pi$
$233$	6.42945	+	2.39806i	0.421207	+	0.157102i	−0.129918	+	0.991525i	$0.541471\pi$
$234$	0.998781	−	3.40154i	0.0652924	−	0.222365i
$235$	−18.5517	−	17.2449i	−1.21018	−	1.12493i
$236$	−4.54113	+	1.33340i	−0.295603	+	0.0867968i
$237$	3.32557	−	0.723434i	0.216019	−	0.0469921i
$238$	−0.193946	−	0.519989i	−0.0125716	−	0.0337059i
$239$	−6.14021	−	5.32053i	−0.397177	−	0.344156i	0.433259	−	0.901269i	$-0.357363\pi$
$239$	−6.14021	−	5.32053i	−0.397177	−	0.344156i	−0.830437	+	0.557113i	$0.811909\pi$
$240$	0.781101	+	0.967720i	0.0504199	+	0.0624660i
$241$	−15.5482	+	2.23550i	−1.00155	+	0.144001i	−0.623532	−	0.781798i	$-0.714303\pi$
$241$	−15.5482	+	2.23550i	−1.00155	+	0.144001i	−0.378017	+	0.925799i	$0.623394\pi$
$242$	−9.94597	+	13.2863i	−0.639351	+	0.854073i
$243$	2.76447	−	12.7081i	0.177341	−	0.815223i
$244$	6.44113	−	7.43346i	0.412351	−	0.475878i
$245$	−13.4400	+	6.74090i	−0.858652	+	0.430660i
$246$	−3.41124	−	2.19227i	−0.217493	−	0.139774i
$247$	4.67824	−	8.56756i	0.297669	−	0.545141i
$248$	−2.33119	−	0.166730i	−0.148031	−	0.0105874i
$249$	2.30854	+	0.677849i	0.146298	+	0.0429569i
$250$	−8.16473	+	7.63788i	−0.516383	+	0.483062i
$251$	10.1622	+	1.46110i	0.641433	+	0.0922241i	0.455354	−	0.890311i	$-0.349513\pi$
$251$	10.1622	+	1.46110i	0.641433	+	0.0922241i	0.186079	+	0.982535i	$0.440422\pi$
$252$	0.999181	−	0.999181i	0.0629425	−	0.0629425i
$253$	2.30976	+	25.0876i	0.145213	+	1.57724i
$254$			16.6415i			1.04418i
$255$	−0.961165	+	0.896297i	−0.0601905	+	0.0561283i
$256$	0.415415	+	0.909632i	0.0259634	+	0.0568520i
$257$	13.2028	+	24.1790i	0.823565	+	1.50825i	0.860802	+	0.508940i	$0.169963\pi$
$257$	13.2028	+	24.1790i	0.823565	+	1.50825i	−0.0372367	+	0.999306i	$0.511856\pi$
$258$	−0.379807	+	5.31040i	−0.0236458	+	0.330611i
$259$	−0.0943888	−	0.321459i	−0.00586503	−	0.0199745i
$260$	−2.63557	−	1.31667i	−0.163451	−	0.0816563i
$261$	−8.70781	+	19.0674i	−0.539000	+	1.18025i
$262$	−2.87594	+	0.205691i	−0.177676	+	0.0127076i
$263$	−21.1644	−	4.60403i	−1.30505	−	0.283897i	−0.494302	−	0.869290i	$-0.664576\pi$
$263$	−21.1644	−	4.60403i	−1.30505	−	0.283897i	−0.810749	+	0.585393i	$0.800940\pi$
$264$	−0.415798	−	2.89194i	−0.0255906	−	0.177986i
$265$	−0.780194	−	3.04671i	−0.0479269	−	0.187158i
$266$	3.27321	−	2.10357i	0.200694	−	0.128978i
$267$	−0.318471	−	4.45280i	−0.0194901	−	0.272507i
$268$	−3.56340	+	1.32908i	−0.217669	+	0.0811865i
$269$	7.04113	−	10.9562i	0.429305	−	0.668012i	−0.557453	−	0.830208i	$-0.688221\pi$
$269$	7.04113	−	10.9562i	0.429305	−	0.668012i	0.986759	+	0.162196i	$0.0518577\pi$
$270$	−6.54050	−	2.70310i	−0.398042	−	0.164506i
$271$	−2.42350	−	2.79686i	−0.147217	−	0.169897i	0.677352	−	0.735659i	$-0.263128\pi$
$271$	−2.42350	−	2.79686i	−0.147217	−	0.169897i	−0.824569	+	0.565762i	$0.808582\pi$
$272$	−0.927505	+	0.506456i	−0.0562383	+	0.0307084i
$273$	0.134485	−	0.360569i	0.00813943	−	0.0218227i
$274$	1.12284	−	7.80952i	0.0678332	−	0.471790i
$275$	25.6571	−	5.62389i	1.54718	−	0.339133i
$276$	−2.05102	−	1.70519i	−0.123457	−	0.102641i
$277$	13.3765	+	13.3765i	0.803718	+	0.803718i	0.983675	−	0.179957i	$-0.0575958\pi$
$277$	13.3765	+	13.3765i	0.803718	+	0.803718i	−0.179957	+	0.983675i	$0.557596\pi$
$278$	−2.24544	−	2.99956i	−0.134673	−	0.179901i
$279$	5.72023	−	2.61234i	0.342461	−	0.156397i
$280$	−0.670498	−	0.964072i	−0.0400699	−	0.0576143i
$281$	14.9178	−	12.9263i	0.889920	−	0.771120i	−0.0843659	−	0.996435i	$-0.526886\pi$
$281$	14.9178	−	12.9263i	0.889920	−	0.771120i	0.974286	+	0.225315i	$0.0723410\pi$
$282$	−5.52932	−	3.01923i	−0.329266	−	0.179793i
$283$	−4.41351	−	20.2886i	−0.262356	−	1.20603i	−0.900065	−	0.435755i	$-0.856482\pi$
$283$	−4.41351	−	20.2886i	−0.262356	−	1.20603i	0.637709	−	0.770277i	$-0.279882\pi$
$284$	6.81388	+	3.11179i	0.404329	+	0.184651i
$285$	−7.57257	−	5.24885i	−0.448560	−	0.310915i
$286$	3.74204	+	5.82272i	0.221271	+	0.344305i
$287$	3.06522	+	2.29460i	0.180935	+	0.135446i
$288$	−2.15400	−	1.61246i	−0.126926	−	0.0950154i
$289$	8.58713	+	13.3618i	0.505125	+	0.785990i
$290$	14.3171	+	9.92374i	0.840727	+	0.582742i
$291$	−2.96631	−	1.35467i	−0.173888	−	0.0794121i
$292$	2.64160	+	12.1432i	0.154588	+	0.710629i
$293$	0.142685	+	0.0779118i	0.00833573	+	0.00455166i	0.483411	−	0.875393i	$-0.339398\pi$
$293$	0.142685	+	0.0779118i	0.00833573	+	0.00455166i	−0.475076	+	0.879945i	$0.657579\pi$
$294$	−2.82633	+	2.44903i	−0.164835	+	0.142830i
$295$	−6.04258	−	8.68829i	−0.351813	−	0.505852i
$296$	−0.580299	+	0.265014i	−0.0337292	+	0.0154036i
$297$	9.96378	+	13.3101i	0.578157	+	0.772328i
$298$	2.43451	+	2.43451i	0.141027	+	0.141027i
$299$	6.09792	+	1.65611i	0.352652	+	0.0957756i
$300$	−1.49973	+	2.34176i	−0.0865867	+	0.135201i
$301$	0.715449	−	4.97606i	0.0412378	−	0.286815i
$302$	1.36411	−	3.65733i	0.0784959	−	0.210456i
$303$	3.54582	−	1.93617i	0.203702	−	0.111230i
$304$	−4.85176	−	5.59923i	−0.278267	−	0.321138i
$305$	20.3262	+	8.40054i	1.16387	+	0.481014i
$306$	1.53727	−	2.39205i	0.0878801	−	0.136744i
$307$	−6.11496	+	2.28076i	−0.348999	+	0.130170i	−0.517850	−	0.855472i	$-0.673267\pi$
$307$	−6.11496	+	2.28076i	−0.348999	+	0.130170i	0.168850	+	0.985642i	$0.445995\pi$
$308$	0.196813	+	2.75180i	0.0112144	+	0.156798i
$309$	−0.503632	+	0.323665i	−0.0286506	+	0.0184126i
$310$	−1.29643	−	5.06266i	−0.0736325	−	0.287540i
$311$	2.37328	+	16.5065i	0.134576	+	0.935998i	0.939483	+	0.342596i	$0.111306\pi$
$311$	2.37328	+	16.5065i	0.134576	+	0.935998i	−0.804907	+	0.593401i	$0.797785\pi$
$312$	−0.716037	−	0.155764i	−0.0405376	−	0.00881841i
$313$	5.82662	−	0.416728i	0.329340	−	0.0235549i	0.0943098	−	0.995543i	$-0.469936\pi$
$313$	5.82662	−	0.416728i	0.329340	−	0.0235549i	0.235030	+	0.971988i	$0.424481\pi$
$314$	−0.271599	+	0.594718i	−0.0153272	+	0.0335619i
$315$	2.82659	+	1.41210i	0.159260	+	0.0795626i
$316$	1.72401	+	5.87144i	0.0969831	+	0.330294i
$317$	0.546136	−	7.63598i	0.0306740	−	0.428879i	−0.958792	−	0.284111i	$-0.908302\pi$
$317$	0.546136	−	7.63598i	0.0306740	−	0.428879i	0.989466	−	0.144769i	$-0.0462437\pi$
$318$	−0.374890	−	0.686559i	−0.0210228	−	0.0385003i
$319$	−17.0010	−	37.2270i	−0.951874	−	2.08431i
$320$	−1.63536	+	1.52499i	−0.0914194	+	0.0852496i
$321$		−	1.17486i		−	0.0655740i
$322$	1.81690	+	1.74421i	0.101252	+	0.0972011i
$323$	5.53625	−	5.53625i	0.308045	−	0.308045i
$324$	6.24755	+	0.898263i	0.347086	+	0.0499035i
$325$	0.927227	−	6.52223i	0.0514333	−	0.361788i
$326$	−18.0527	−	5.30075i	−0.999847	−	0.293581i
$327$	7.77959	+	0.556407i	0.430212	+	0.0307694i
$328$	3.49416	−	6.39907i	0.192933	−	0.353330i
$329$	5.00444	+	3.21616i	0.275904	+	0.177313i
$330$	5.83972	−	2.92893i	0.321466	−	0.161232i
$331$	9.59008	−	11.0675i	0.527118	−	0.608327i	−0.428280	−	0.903646i	$-0.640880\pi$
$331$	9.59008	−	11.0675i	0.527118	−	0.608327i	0.955399	+	0.295319i	$0.0954259\pi$
$332$	−0.919568	+	4.22719i	−0.0504679	+	0.231997i
$333$	1.02867	−	1.37414i	0.0563708	−	0.0753026i
$334$	−5.09767	+	0.732934i	−0.278932	+	0.0401044i
$335$	−5.34136	−	6.61750i	−0.291829	−	0.361553i
$336$	−0.220739	−	0.191272i	−0.0120423	−	0.0104347i
$337$	−8.04999	−	21.5829i	−0.438511	−	1.17569i	−0.948852	−	0.315721i	$-0.897754\pi$
$337$	−8.04999	−	21.5829i	−0.438511	−	1.17569i	0.510341	−	0.859972i	$-0.329519\pi$
$338$	−11.0066	+	2.39434i	−0.598681	+	0.130235i
$339$	−10.9872	+	3.22612i	−0.596740	+	0.175219i
$340$	−1.73075	−	1.60883i	−0.0938629	−	0.0872510i
$341$	−3.45900	+	11.7803i	−0.187315	+	0.637938i
$342$	18.6779	+	6.96650i	1.00999	+	0.376705i
$343$	5.76990	−	4.31929i	0.311545	−	0.233220i
$344$	−9.57263			−0.516121
$345$	2.16508	−	5.55736i	0.116564	−	0.299198i
$346$	22.0678			1.18637
$347$	−14.8666	+	11.1290i	−0.798080	+	0.597435i	−0.918560	−	0.395281i	$-0.870647\pi$
$347$	−14.8666	+	11.1290i	−0.798080	+	0.597435i	0.120481	+	0.992716i	$0.461556\pi$
$348$	4.05962	+	1.51416i	0.217618	+	0.0811675i
$349$	−0.888703	+	3.02665i	−0.0475712	+	0.162013i	−0.979853	−	0.199720i	$-0.935997\pi$
$349$	−0.888703	+	3.02665i	−0.0475712	+	0.162013i	0.932282	+	0.361733i	$0.117815\pi$
$350$	1.57028	−	2.10458i	0.0839348	−	0.112494i
$351$	4.00112	−	1.17483i	0.213564	−	0.0627080i
$352$	5.13319	−	1.11666i	0.273600	−	0.0595181i
$353$	−0.799297	−	2.14300i	−0.0425423	−	0.114060i	0.913941	−	0.405846i	$-0.133023\pi$
$353$	−0.799297	−	2.14300i	−0.0425423	−	0.114060i	−0.956484	+	0.291786i	$0.905750\pi$
$354$	−1.98932	−	1.72375i	−0.105731	−	0.0916165i
$355$	−1.77732	+	16.6554i	−0.0943301	+	0.883977i
$356$	7.94501	−	1.14232i	0.421085	−	0.0605428i
$357$	0.184974	−	0.247096i	0.00978985	−	0.0130777i
$358$	2.57887	−	11.8549i	0.136298	−	0.626550i
$359$	3.87432	−	4.47120i	0.204479	−	0.235981i	−0.644243	−	0.764821i	$-0.722827\pi$
$359$	3.87432	−	4.47120i	0.204479	−	0.235981i	0.848721	+	0.528840i	$0.177373\pi$
$360$	1.89551	−	5.71015i	0.0999019	−	0.300951i
$361$	30.1933	+	19.4041i	1.58912	+	1.02127i
$362$	7.46423	−	13.6697i	0.392311	−	0.718465i
$363$	−9.20694	−	0.658493i	−0.483239	−	0.0345619i
$364$	0.663912	+	0.194942i	0.0347984	+	0.0102177i
$365$	−23.8870	+	14.1984i	−1.25030	+	0.743176i
$366$	5.41469	+	0.778515i	0.283031	+	0.0406937i
$367$	−15.3876	+	15.3876i	−0.803228	+	0.803228i	−0.983599	−	0.180371i	$-0.942270\pi$
$367$	−15.3876	+	15.3876i	−0.803228	+	0.803228i	0.180371	+	0.983599i	$0.442270\pi$
$368$	2.79509	−	3.89711i	0.145704	−	0.203151i
$369$			19.6175i			1.02125i
$370$	−0.972867	−	1.04328i	−0.0505769	−	0.0542374i
$371$	0.306844	+	0.671895i	0.0159306	+	0.0348830i
$372$	−0.622947	−	1.14084i	−0.0322983	−	0.0591499i
$373$	0.314287	−	4.39431i	0.0162732	−	0.227529i	−0.982807	−	0.184638i	$-0.940889\pi$
$373$	0.314287	−	4.39431i	0.0162732	−	0.227529i	0.999080	−	0.0428906i	$-0.0136567\pi$
$374$	1.56403	+	5.32660i	0.0808741	+	0.275432i
$375$	−6.02860	−	1.52348i	−0.311316	−	0.0786722i
$376$	4.70559	−	10.3038i	0.242672	−	0.531378i
$377$	−10.2383	+	0.732258i	−0.527300	+	0.0377132i
$378$	1.62415	+	0.353312i	0.0835371	+	0.0181724i
$379$	3.68234	+	25.6112i	0.189149	+	1.31556i	0.834218	+	0.551435i	$0.185920\pi$
$379$	3.68234	+	25.6112i	0.189149	+	1.31556i	−0.645069	+	0.764124i	$0.723171\pi$
$380$	8.44220	−	14.2542i	0.433076	−	0.731228i
$381$	−7.78618	+	5.00388i	−0.398898	+	0.256356i
$382$	0.374212	+	5.23217i	0.0191463	+	0.267701i
$383$	30.5632	−	11.3995i	1.56171	−	0.582487i	0.587715	−	0.809068i	$-0.300028\pi$
$383$	30.5632	−	11.3995i	1.56171	−	0.582487i	0.973992	+	0.226582i	$0.0727550\pi$
$384$	−0.300686	+	0.467876i	−0.0153443	+	0.0238762i
$385$	−5.69748	+	2.36526i	−0.290371	+	0.120545i
$386$	12.1877	+	14.0654i	0.620339	+	0.715909i
$387$	22.6063	−	12.3440i	1.14914	−	0.627478i
$388$	2.04904	−	5.49368i	0.104024	−	0.278899i
$389$	2.86208	−	19.9062i	0.145113	−	1.00928i	−0.778961	−	0.627072i	$-0.784253\pi$
$389$	2.86208	−	19.9062i	0.145113	−	1.00928i	0.924074	−	0.382213i	$-0.124838\pi$
$390$	−0.176442	−	1.62903i	−0.00893448	−	0.0824889i
$391$	4.31858	+	2.65244i	0.218400	+	0.134140i
$392$	−4.75473	−	4.75473i	−0.240150	−	0.240150i
$393$	−0.960991	−	1.28373i	−0.0484756	−	0.0647558i
$394$	16.2417	−	7.41733i	0.818244	−	0.373680i
$395$	−11.2335	+	7.81273i	−0.565218	+	0.393101i
$396$	−10.6824	+	9.25633i	−0.536809	+	0.465148i
$397$	−17.7697	−	9.70299i	−0.891836	−	0.486979i	−0.0331319	−	0.999451i	$-0.510548\pi$
$397$	−17.7697	−	9.70299i	−0.891836	−	0.486979i	−0.858704	+	0.512472i	$0.828730\pi$
$398$	−4.75065	−	21.8384i	−0.238129	−	1.09466i
$399$	1.96842	+	0.898946i	0.0985441	+	0.0450036i
$400$	−4.39218	−	2.38930i	−0.219609	−	0.119465i
$401$	−18.1104	−	28.1803i	−0.904388	−	1.40726i	−0.913297	−	0.407295i	$-0.866472\pi$
$401$	−18.1104	−	28.1803i	−0.904388	−	1.40726i	0.00890872	−	0.999960i	$-0.497164\pi$
$402$	−1.69331	−	1.26759i	−0.0844546	−	0.0632219i
$403$	2.46514	+	1.84538i	0.122797	+	0.0919248i
$404$	3.92723	+	6.11089i	0.195387	+	0.304028i
$405$	2.51690	+	13.8874i	0.125066	+	0.690069i
$406$	−3.72158	−	1.69959i	−0.184699	−	0.0843493i
$407$	0.712371	+	3.27472i	0.0353109	+	0.162322i
$408$	−0.515846	−	0.281673i	−0.0255382	−	0.0139449i
$409$	−6.50305	+	5.63493i	−0.321555	+	0.278629i	−0.800648	−	0.599135i	$-0.795511\pi$
$409$	−6.50305	+	5.63493i	−0.321555	+	0.278629i	0.479093	+	0.877764i	$0.340966\pi$
$410$	16.0462	+	2.88195i	0.792466	+	0.142329i
$411$	3.99151	−	1.82286i	0.196887	−	0.0899151i
$412$	−0.645076	−	0.861720i	−0.0317806	−	0.0424539i
$413$	1.75754	+	1.75754i	0.0864828	+	0.0864828i
$414$	−1.57539	+	12.8075i	−0.0774264	+	0.629455i
$415$	−9.61710	+	1.04164i	−0.472085	+	0.0511321i
$416$	0.187509	−	1.30415i	0.00919337	−	0.0639413i
$417$	0.728249	−	1.95251i	0.0356625	−	0.0956149i
$418$	−34.1597	+	18.6526i	−1.67080	+	0.912328i
$419$	−6.27500	−	7.24173i	−0.306554	−	0.353782i	0.581480	−	0.813561i	$-0.302474\pi$
$419$	−6.27500	−	7.24173i	−0.306554	−	0.353782i	−0.888033	+	0.459779i	$0.847929\pi$
$420$	0.249457	−	0.603593i	0.0121723	−	0.0294523i
$421$	−5.36248	+	8.34419i	−0.261351	+	0.406671i	−0.946986	−	0.321275i	$-0.895889\pi$
$421$	−5.36248	+	8.34419i	−0.261351	+	0.406671i	0.685634	+	0.727946i	$0.259525\pi$
$422$	7.75506	−	2.89249i	0.377510	−	0.140804i
$423$	2.17431	+	30.4008i	0.105719	+	1.47814i
$424$	1.18322	−	0.760409i	0.0574622	−	0.0369287i
$425$	2.18738	−	4.80983i	0.106104	−	0.233311i
$426$	0.592902	+	4.12372i	0.0287262	+	0.199795i
$427$	−5.04743	−	1.09800i	−0.244262	−	0.0531360i
$428$	2.10704	−	0.150698i	0.101848	−	0.00728428i
$429$	−1.59914	+	3.50162i	−0.0772070	+	0.169060i
$430$	−6.77577	−	20.3043i	−0.326756	−	0.979161i
$431$	−6.84144	−	23.2998i	−0.329541	−	1.12231i	−0.943057	−	0.332631i	$-0.892064\pi$
$431$	−6.84144	−	23.2998i	−0.329541	−	1.12231i	0.613517	−	0.789682i	$-0.289754\pi$
$432$	0.225786	−	3.15690i	0.0108631	−	0.151886i
$433$	1.56822	+	2.87198i	0.0753639	+	0.138019i	0.912644	−	0.408756i	$-0.134037\pi$
$433$	1.56822	+	2.87198i	0.0753639	+	0.138019i	−0.837280	+	0.546775i	$0.815855\pi$
$434$	0.509877	+	1.11647i	0.0244749	+	0.0535925i
$435$	−0.338144	+	9.68254i	−0.0162128	+	0.464242i
$436$			14.0236i			0.671610i
$437$	−11.7350	+	33.5377i	−0.561362	+	1.60433i
$438$	−4.88724	+	4.88724i	−0.233521	+	0.233521i
$439$	−21.8981	−	3.14847i	−1.04514	−	0.150268i	−0.401704	−	0.915770i	$-0.631582\pi$
$439$	−21.8981	−	3.14847i	−1.04514	−	0.150268i	−0.643434	+	0.765501i	$0.722491\pi$
$440$	6.00194	+	10.0975i	0.286131	+	0.481380i
$441$	17.3598	+	5.09729i	0.826657	+	0.242728i
$442$	1.38881	+	0.0993299i	0.0660591	+	0.00472464i
$443$	14.6945	−	26.9109i	0.698155	−	1.27858i	−0.252280	−	0.967654i	$-0.581181\pi$
$443$	14.6945	−	26.9109i	0.698155	−	1.27858i	0.950436	−	0.310922i	$-0.100638\pi$
$444$	−0.298481	−	0.191822i	−0.0141653	−	0.00910348i
$445$	8.04664	+	16.0434i	0.381448	+	0.760532i
$446$	−3.84955	+	4.44262i	−0.182281	+	0.210364i
$447$	−0.407027	+	1.87107i	−0.0192517	+	0.0884987i
$448$	0.314721	−	0.420418i	0.0148692	−	0.0198629i
$449$	39.7435	−	5.71425i	1.87561	−	0.269672i	0.892279	−	0.451484i	$-0.149105\pi$
$449$	39.7435	−	5.71425i	1.87561	−	0.269672i	0.983333	+	0.181812i	$0.0581963\pi$
$450$	13.4534	−	0.0212828i	0.634199	−	0.00100328i
$451$	−28.9459	−	25.0818i	−1.36301	−	1.18105i
$452$	−7.19518	−	19.2910i	−0.338433	−	0.907374i
$453$	2.12135	−	0.461471i	0.0996696	−	0.0216818i
$454$	−12.4950	+	3.66888i	−0.586421	+	0.172189i
$455$	0.0564471	+	1.54620i	0.00264628	+	0.0724868i
$456$	1.16089	−	3.95363i	0.0543637	−	0.185146i
$457$	20.2163	+	7.54028i	0.945678	+	0.352719i	0.774538	−	0.632527i	$-0.217982\pi$
$457$	20.2163	+	7.54028i	0.945678	+	0.352719i	0.171139	+	0.985247i	$0.445255\pi$
$458$	−4.82709	+	3.61352i	−0.225555	+	0.168849i
$459$	3.34464			0.156114
$460$	10.2445	+	3.17012i	0.477654	+	0.147807i
$461$	−16.2217			−0.755521			−0.377760	−	0.925903i	$-0.623306\pi$
$461$	−16.2217			−0.755521			−0.377760	+	0.925903i	$0.623306\pi$
$462$	−1.22832	+	0.919512i	−0.0571468	+	0.0427796i
$463$	−2.56448	−	0.956500i	−0.119181	−	0.0444523i	0.289166	−	0.957279i	$-0.406622\pi$
$463$	−2.56448	−	0.956500i	−0.119181	−	0.0444523i	−0.408347	+	0.912827i	$0.633895\pi$
$464$	−2.19483	+	7.47492i	−0.101893	+	0.347014i
$465$	1.97888	−	2.12884i	0.0917683	−	0.0987226i
$466$	−6.58415	+	1.93328i	−0.305005	+	0.0895575i
$467$	−20.5453	+	4.46937i	−0.950725	+	0.206818i	−0.661079	−	0.750316i	$-0.729901\pi$
$467$	−20.5453	+	4.46937i	−0.950725	+	0.206818i	−0.289646	+	0.957134i	$0.593538\pi$
$468$	1.23890	+	3.32162i	0.0572681	+	0.153542i
$469$	1.50947	+	1.30796i	0.0697007	+	0.0603960i
$470$	25.1859	+	2.68762i	1.16174	+	0.123971i
$471$	−0.359920	+	0.0517487i	−0.0165842	+	0.00238445i
$472$	2.83629	−	3.78884i	0.130551	−	0.174395i
$473$	−10.6893	+	49.1381i	−0.491497	+	2.25937i
$474$	−2.22872	+	2.57208i	−0.102369	+	0.118140i
$475$	36.2100	+	7.81703i	1.66143	+	0.358670i
$476$	0.466879	+	0.300045i	0.0213994	+	0.0137525i
$477$	−1.81368	+	3.32151i	−0.0830429	+	0.152082i
$478$	8.10397	+	0.579607i	0.370667	+	0.0265106i
$479$	−26.6057	−	7.81215i	−1.21565	−	0.356946i	−0.389832	−	0.920886i	$-0.627467\pi$
$479$	−26.6057	−	7.81215i	−1.21565	−	0.356946i	−0.825816	+	0.563940i	$0.809285\pi$
$480$	−1.20524	−	0.306603i	−0.0550113	−	0.0139945i
$481$	0.831983	+	0.119621i	0.0379351	+	0.00545425i
$482$	11.1073	−	11.1073i	0.505924	−	0.505924i
$483$	−0.269759	+	1.37454i	−0.0122745	+	0.0625439i
$484$		−	16.5966i		−	0.754391i
$485$	13.1029	+	0.457594i	0.594972	+	0.0207783i
$486$	5.40259	+	11.8300i	0.245066	+	0.536621i
$487$	−6.64903	−	12.1768i	−0.301296	−	0.551783i	0.682541	−	0.730847i	$-0.260875\pi$
$487$	−6.64903	−	12.1768i	−0.301296	−	0.551783i	−0.983837	+	0.179064i	$0.942693\pi$
$488$	−0.701683	+	9.81081i	−0.0317637	+	0.444115i
$489$	−2.94809	−	10.0403i	−0.133317	−	0.454038i
$490$	6.71963	−	13.4507i	0.303562	−	0.607640i
$491$	2.01551	−	4.41335i	0.0909587	−	0.199172i	−0.858685	−	0.512504i	$-0.828718\pi$
$491$	2.01551	−	4.41335i	0.0909587	−	0.199172i	0.949644	+	0.313332i	$0.101445\pi$
$492$	4.04462	−	0.289277i	0.182345	−	0.0130416i
$493$	−8.04461	−	1.75000i	−0.362311	−	0.0788160i
$494$	1.38922	+	9.66225i	0.0625040	+	0.434725i
$495$	−27.1947	−	16.1063i	−1.22231	−	0.723924i
$496$	1.96613	−	1.26356i	0.0882820	−	0.0567354i
$497$	−0.280643	−	3.92390i	−0.0125886	−	0.176011i
$498$	−2.25430	+	0.840811i	−0.101018	+	0.0376776i
$499$	18.6870	−	29.0775i	0.836544	−	1.30169i	−0.114748	−	0.993395i	$-0.536606\pi$
$499$	18.6870	−	29.0775i	0.836544	−	1.30169i	0.951292	−	0.308293i	$-0.0997576\pi$
$500$	1.95899	−	11.0074i	0.0876087	−	0.492265i
$501$	−1.87572	−	2.16470i	−0.0838010	−	0.0967115i
$502$	−9.01087	+	4.92031i	−0.402175	+	0.219604i
$503$	−13.6060	+	36.4791i	−0.606662	+	1.62652i	0.161944	+	0.986800i	$0.448224\pi$
$503$	−13.6060	+	36.4791i	−0.606662	+	1.62652i	−0.768606	+	0.639723i	$0.779049\pi$
$504$	−0.201099	+	1.39867i	−0.00895765	+	0.0623018i
$505$	−10.1819	+	12.6554i	−0.453088	+	0.563159i
$506$	−16.8835	−	18.6995i	−0.750562	−	0.831292i
$507$	−4.42979	−	4.42979i	−0.196734	−	0.196734i
$508$	−9.97291	−	13.3222i	−0.442476	−	0.591079i
$509$	5.35168	−	2.44403i	0.237209	−	0.108330i	−0.293264	−	0.956031i	$-0.594742\pi$
$509$	5.35168	−	2.44403i	0.237209	−	0.108330i	0.530473	+	0.847702i	$0.322014\pi$
$510$	0.232322	−	1.29353i	0.0102874	−	0.0572784i
$511$	4.93230	−	4.27386i	0.218192	−	0.189065i
$512$	−0.877679	−	0.479249i	−0.0387883	−	0.0211800i
$513$	4.98437	+	22.9128i	0.220065	+	1.01162i
$514$	−25.0593	−	11.4442i	−1.10532	−	0.504782i
$515$	1.37118	−	1.97821i	0.0604212	−	0.0871702i
$516$	−2.87835	−	4.47880i	−0.126712	−	0.197168i
$517$	−47.6369	−	35.6605i	−2.09507	−	1.56835i
$518$	0.268205	+	0.200776i	0.0117843	+	0.00882159i
$519$	6.63548	+	10.3250i	0.291265	+	0.453218i
$520$	2.89893	−	0.525393i	0.127127	−	0.0230400i
$521$	−14.5901	−	6.66307i	−0.639203	−	0.291914i	0.0693279	−	0.997594i	$-0.477915\pi$
$521$	−14.5901	−	6.66307i	−0.639203	−	0.291914i	−0.708531	+	0.705680i	$0.750642\pi$
$522$	−4.45573	−	20.4827i	−0.195022	−	0.896502i
$523$	−4.18091	−	2.28295i	−0.182818	−	0.0998263i	0.385234	−	0.922819i	$-0.374121\pi$
$523$	−4.18091	−	2.28295i	−0.182818	−	0.0998263i	−0.568052	+	0.822993i	$0.692303\pi$
$524$	2.17904	−	1.88815i	0.0951918	−	0.0824842i
$525$	1.45684	+	0.101879i	0.0635817	+	0.00444637i
$526$	19.7021	−	8.99763i	0.859050	−	0.392315i
$527$	1.48011	+	1.97720i	0.0644747	+	0.0861281i
$528$	2.06594	+	2.06594i	0.0899083	+	0.0899083i
$529$	−22.8805	−	2.34151i	−0.994804	−	0.101805i
$530$	2.45040	+	1.97146i	0.106439	+	0.0856349i
$531$	−1.81232	+	12.6050i	−0.0786480	+	0.547009i
$532$	−1.35972	+	3.64555i	−0.0589514	+	0.158055i
$533$	−8.43118	+	4.60377i	−0.365195	+	0.199412i
$534$	2.92341	+	3.37380i	0.126509	+	0.145999i
$535$	1.81106	+	4.36253i	0.0782991	+	0.188609i
$536$	2.05616	−	3.19945i	0.0888126	−	0.138195i
$537$	6.32205	−	2.35800i	0.272816	−	0.101755i
$538$	0.929099	+	12.9905i	0.0400563	+	0.560060i
$539$	−29.7163	+	19.0975i	−1.27997	+	0.822589i
$540$	6.85585	−	1.75563i	0.295029	−	0.0755502i
$541$	2.07436	+	14.4275i	0.0891838	+	0.620287i	0.984569	+	0.174995i	$0.0559909\pi$
$541$	2.07436	+	14.4275i	0.0891838	+	0.620287i	−0.895386	+	0.445292i	$0.853100\pi$
$542$	3.61621	+	0.786657i	0.155329	+	0.0337898i
$543$	8.64013	−	0.617954i	0.370783	−	0.0265189i
$544$	0.438998	−	0.961272i	0.0188219	−	0.0412142i
$545$	−29.7452	+	9.92631i	−1.27415	+	0.425196i
$546$	0.108420	+	0.369245i	0.00463995	+	0.0158022i
$547$	1.14802	−	16.0514i	0.0490859	−	0.686310i	−0.912023	−	0.410140i	$-0.865480\pi$
$547$	1.14802	−	16.0514i	0.0490859	−	0.686310i	0.961109	−	0.276171i	$-0.0890655\pi$
$548$	3.78119	+	6.92474i	0.161525	+	0.295810i
$549$	−10.9940	−	24.0736i	−0.469214	−	1.02744i
$550$	−17.1693	+	19.8779i	−0.732101	+	0.847596i
$551$		−	57.7185i		−	2.45889i
$552$	2.66381	+	0.135947i	0.113379	+	0.00578631i
$553$	2.27240	−	2.27240i	0.0966323	−	0.0966323i
$554$	−18.7247	−	2.69221i	−0.795537	−	0.114381i
$555$	0.195597	−	0.768880i	0.00830264	−	0.0326371i
$556$	3.59513	+	1.05563i	0.152468	+	0.0447685i
$557$	2.77196	+	0.198255i	0.117452	+	0.00840032i	0.129941	−	0.991522i	$-0.458521\pi$
$557$	2.77196	+	0.198255i	0.117452	+	0.00840032i	−0.0124895	+	0.999922i	$0.503976\pi$
$558$	−3.01376	+	5.51930i	−0.127583	+	0.233650i
$559$	10.6103	+	6.81885i	0.448770	+	0.288407i
$560$	1.11451	+	0.369965i	0.0470965	+	0.0156339i
$561$	−2.02191	+	2.33341i	−0.0853650	+	0.0985165i
$562$	−4.19584	+	19.2880i	−0.176991	+	0.813613i
$563$	−8.97638	+	11.9910i	−0.378309	+	0.505362i	−0.948772	−	0.315962i	$-0.897673\pi$
$563$	−8.97638	+	11.9910i	−0.378309	+	0.505362i	0.570463	+	0.821323i	$0.306764\pi$
$564$	6.23581	−	0.896573i	0.262575	−	0.0377526i
$565$	35.8249	−	28.9163i	1.50716	−	1.21652i
$566$	15.6917	+	13.5969i	0.659571	+	0.571522i
$567$	−1.15839	−	3.10575i	−0.0486476	−	0.130429i
$568$	−7.31962	+	1.59229i	−0.307124	+	0.0668108i
$569$	25.1786	−	7.39312i	1.05554	−	0.309936i	0.292488	−	0.956269i	$-0.405517\pi$
$569$	25.1786	−	7.39312i	1.05554	−	0.309936i	0.763055	+	0.646334i	$0.223699\pi$
$570$	9.20767	−	0.336145i	0.385667	−	0.0140796i
$571$	−0.362523	+	1.23464i	−0.0151711	+	0.0516681i	−0.966731	−	0.255796i	$-0.917662\pi$
$571$	−0.362523	+	1.23464i	−0.0151711	+	0.0516681i	0.951560	+	0.307464i	$0.0994805\pi$
$572$	−6.48508	−	2.41881i	−0.271155	−	0.101136i
$573$	−2.33549	+	1.74832i	−0.0975663	+	0.0730372i
$574$	−3.82894			−0.159817
$575$	0.527284	+	23.9734i	0.0219893	+	0.999758i
$576$	2.69068			0.112112
$577$	−36.0206	+	26.9647i	−1.49956	+	1.12255i	−0.539775	+	0.841809i	$0.681491\pi$
$577$	−36.0206	+	26.9647i	−1.49956	+	1.12255i	−0.959782	+	0.280745i	$0.909418\pi$
$578$	−14.8818	−	5.55062i	−0.619001	−	0.230875i
$579$	−2.91618	+	9.93161i	−0.121192	+	0.412743i
$580$	−17.4085	+	0.635533i	−0.722847	+	0.0263891i
$581$	2.17987	−	0.640068i	0.0904363	−	0.0265545i
$582$	3.18648	−	0.693175i	0.132084	−	0.0287330i
$583$	−2.58207	−	6.92281i	−0.106939	−	0.286713i
$584$	−9.39188	−	8.13811i	−0.388639	−	0.336757i
$585$	−6.16849	+	4.97894i	−0.255036	+	0.205854i
$586$	−0.160916	+	0.0231362i	−0.00664737	+	0.000955748i
$587$	−7.15267	+	9.55484i	−0.295222	+	0.394371i	−0.923487	−	0.383629i	$-0.874674\pi$
$587$	−7.15267	+	9.55484i	−0.295222	+	0.394371i	0.628265	+	0.777999i	$0.283765\pi$
$588$	0.794945	−	3.65430i	0.0327830	−	0.150701i
$589$	−11.3393	+	13.0862i	−0.467226	+	0.539208i
$590$	10.0440	+	3.33415i	0.413506	+	0.137265i
$591$	8.35404	+	5.36881i	0.343639	+	0.220843i
$592$	0.305737	−	0.559915i	0.0125657	−	0.0230124i
$593$	10.8797	+	0.778132i	0.446776	+	0.0319541i	0.292915	−	0.956138i	$-0.405375\pi$
$593$	10.8797	+	0.778132i	0.446776	+	0.0319541i	0.153861	+	0.988093i	$0.450829\pi$
$594$	−15.9528	−	4.68417i	−0.654553	−	0.192194i
$595$	−0.305950	+	1.20267i	−0.0125427	+	0.0493046i
$596$	−3.40787	−	0.489978i	−0.139592	−	0.0200703i
$597$	8.78921	−	8.78921i	0.359718	−	0.359718i
$598$	−5.87411	+	2.32856i	−0.240210	+	0.0952219i
$599$			21.8705i			0.893603i	0.894633	+	0.446801i	$0.147437\pi$
$599$			21.8705i			0.893603i	−0.894633	+	0.446801i	$0.852563\pi$
$600$	−0.202770	−	2.77343i	−0.00827804	−	0.113225i
$601$	−13.5802	−	29.7364i	−0.553946	−	1.21297i	−0.954914	−	0.296881i	$-0.904053\pi$
$601$	−13.5802	−	29.7364i	−0.553946	−	1.21297i	0.400968	−	0.916092i	$-0.368674\pi$
$602$	2.40929	+	4.41229i	0.0981954	+	0.179832i
$603$	−0.730026	+	10.2071i	−0.0297290	+	0.415665i
$604$	1.09973	+	3.74533i	0.0447473	+	0.152395i
$605$	35.2027	−	11.7475i	1.43119	−	0.477605i
$606$	−1.67828	+	3.67492i	−0.0681754	+	0.149283i
$607$	22.3863	−	1.60110i	0.908631	−	0.0649866i	0.390806	−	0.920473i	$-0.372196\pi$
$607$	22.3863	−	1.60110i	0.908631	−	0.0649866i	0.517825	+	0.855487i	$0.326742\pi$
$608$	7.23952	+	1.57486i	0.293601	+	0.0638691i
$609$	−0.323829	−	2.25228i	−0.0131222	−	0.0912671i
$610$	−21.3062	+	5.45604i	−0.862662	+	0.220908i
$611$	−12.5554	+	8.06885i	−0.507936	+	0.326431i
$612$	0.202848	+	2.83619i	0.00819964	+	0.114646i
$613$	26.9617	−	10.0562i	1.08897	−	0.406165i	0.260087	−	0.965585i	$-0.416249\pi$
$613$	26.9617	−	10.0562i	1.08897	−	0.406165i	0.828884	+	0.559420i	$0.188976\pi$
$614$	3.52847	−	5.49040i	0.142397	−	0.221575i
$615$	3.47647	+	8.37420i	0.140185	+	0.337680i
$616$	−1.80665	−	2.08499i	−0.0727920	−	0.0840065i
$617$	22.9540	−	12.5339i	0.924095	−	0.504594i	0.0545847	−	0.998509i	$-0.482616\pi$
$617$	22.9540	−	12.5339i	0.924095	−	0.504594i	0.869510	+	0.493915i	$0.164435\pi$
$618$	0.209213	−	0.560923i	0.00841579	−	0.0225636i
$619$	2.25360	−	15.6741i	0.0905798	−	0.629996i	−0.893072	−	0.449914i	$-0.851455\pi$
$619$	2.25360	−	15.6741i	0.0905798	−	0.629996i	0.983652	−	0.180082i	$-0.0576364\pi$
$620$	4.07179	+	3.27595i	0.163527	+	0.131565i
$621$	−13.6754	+	6.58588i	−0.548775	+	0.264282i
$622$	−11.7919	−	11.7919i	−0.472811	−	0.472811i
$623$	−2.52617	−	3.37457i	−0.101209	−	0.135199i
$624$	0.666563	−	0.304409i	0.0266839	−	0.0121861i
$625$	24.7342	−	3.63615i	0.989366	−	0.145446i
$626$	−4.41472	+	3.82537i	−0.176448	+	0.152893i
$627$	−18.9984	−	10.3739i	−0.758724	−	0.414295i
$628$	−0.138975	−	0.638859i	−0.00554572	−	0.0254933i
$629$	0.613243	+	0.280059i	0.0244516	+	0.0111667i
$630$	−3.10904	+	0.563472i	−0.123867	+	0.0224493i
$631$	−16.0290	−	24.9415i	−0.638103	−	0.992907i	−0.998199	−	0.0599918i	$-0.980893\pi$
$631$	−16.0290	−	24.9415i	−0.638103	−	0.992907i	0.360096	−	0.932915i	$-0.382744\pi$
$632$	−4.89876	−	3.66717i	−0.194862	−	0.145872i
$633$	3.68516	+	2.75868i	0.146472	+	0.109648i
$634$	4.13887	+	6.44020i	0.164375	+	0.255773i
$635$	21.1984	−	30.5832i	0.841235	−	1.21366i
$636$	0.711554	+	0.324956i	0.0282150	+	0.0128853i
$637$	1.88323	+	8.65709i	0.0746164	+	0.343006i
$638$	35.9193	+	19.6134i	1.42206	+	0.776504i
$639$	15.2324	−	13.1990i	0.602585	−	0.522143i
$640$	0.395280	−	2.20085i	0.0156248	−	0.0869963i
$641$	32.7327	−	14.9485i	1.29286	−	0.590431i	0.354169	−	0.935182i	$-0.384764\pi$
$641$	32.7327	−	14.9485i	1.29286	−	0.590431i	0.938694	+	0.344751i	$0.112037\pi$
$642$	0.704065	+	0.940520i	0.0277872	+	0.0371194i
$643$	22.3579	+	22.3579i	0.881709	+	0.881709i	0.993708	−	0.111999i	$-0.0357255\pi$
$643$	22.3579	+	22.3579i	0.881709	+	0.881709i	−0.111999	+	0.993708i	$0.535725\pi$
$644$	−2.49977	−	0.307485i	−0.0985048	−	0.0121166i
$645$	7.46253	−	9.27544i	0.293837	−	0.365220i
$646$	−1.11425	+	7.74975i	−0.0438394	+	0.304910i
$647$	−6.48650	+	17.3910i	−0.255011	+	0.683710i	0.744853	+	0.667228i	$0.232519\pi$
$647$	−6.48650	+	17.3910i	−0.255011	+	0.683710i	−0.999864	+	0.0164822i	$0.994753\pi$
$648$	−5.53973	+	3.02492i	−0.217621	+	0.118830i
$649$	−16.2817	−	18.7901i	−0.639112	−	0.737574i
$650$	3.16635	+	5.77698i	0.124194	+	0.226592i
$651$	−0.369059	+	0.574267i	−0.0144646	+	0.0225073i
$652$	17.6286	−	6.57511i	0.690387	−	0.257501i
$653$	−2.92939	−	40.9582i	−0.114636	−	1.60282i	−0.651165	−	0.758937i	$-0.725719\pi$
$653$	−2.92939	−	40.9582i	−0.114636	−	1.60282i	0.536529	−	0.843882i	$-0.319735\pi$
$654$	−6.56132	+	4.21671i	−0.256568	+	0.164886i
$655$	5.54730	+	3.28544i	0.216751	+	0.128373i
$656$	1.03760	+	7.21669i	0.0405116	+	0.281765i
$657$	32.6735	+	7.10770i	1.27472	+	0.277298i
$658$	−5.93364	+	0.424382i	−0.231317	+	0.0165441i
$659$	3.50237	−	7.66912i	0.136433	−	0.298746i	−0.829067	−	0.559149i	$-0.811128\pi$
$659$	3.50237	−	7.66912i	0.136433	−	0.298746i	0.965500	+	0.260402i	$0.0838553\pi$
$660$	−2.91969	+	5.84434i	−0.113649	+	0.227491i
$661$	11.8388	+	40.3192i	0.460475	+	1.56824i	0.783217	+	0.621748i	$0.213577\pi$
$661$	11.8388	+	40.3192i	0.460475	+	1.56824i	−0.322742	+	0.946487i	$0.604605\pi$
$662$	−1.04472	+	14.6071i	−0.0406043	+	0.567723i
$663$	0.371122	+	0.679660i	0.0144132	+	0.0263958i
$664$	−1.79711	−	3.93511i	−0.0697413	−	0.152712i
$665$	−8.69496	−	0.303655i	−0.337176	−	0.0117752i
$666$			1.71652i			0.0665137i
$667$	36.3384	−	8.68523i	1.40703	−	0.336293i
$668$	3.64166	−	3.64166i	0.140900	−	0.140900i
$669$	−3.23610	−	0.465281i	−0.125115	−	0.0179888i
$670$	8.24169	+	2.09662i	0.318404	+	0.0809997i
$671$	49.5773	+	14.5572i	1.91391	+	0.561974i
$672$	0.291336	+	0.0208367i	0.0112385	+	0.000803794i
$673$	−4.66236	+	8.53847i	−0.179721	+	0.329134i	−0.951973	−	0.306182i	$-0.900948\pi$
$673$	−4.66236	+	8.53847i	−0.179721	+	0.329134i	0.772252	+	0.635316i	$0.219130\pi$
$674$	19.3785	+	12.4538i	0.746431	+	0.479702i
$675$	8.57658	+	13.2991i	0.330113	+	0.511883i
$676$	7.37637	−	8.51278i	0.283707	−	0.327415i
$677$	−0.537060	+	2.46883i	−0.0206409	+	0.0948847i	−0.986315	−	0.164872i	$-0.947279\pi$
$677$	−0.537060	+	2.46883i	−0.0206409	+	0.0948847i	0.965674	+	0.259757i	$0.0836425\pi$
$678$	6.86233	−	9.16700i	0.263546	−	0.352056i
$679$	−3.04790	+	0.438222i	−0.116968	+	0.0168174i
$680$	2.34967	+	0.250736i	0.0901057	+	0.00961528i
$681$	−5.47366	−	4.74296i	−0.209751	−	0.181750i
$682$	−4.29058	−	11.5035i	−0.164295	−	0.440492i
$683$	3.44804	−	0.750076i	0.131936	−	0.0287008i	−0.146113	−	0.989268i	$-0.546676\pi$
$683$	3.44804	−	0.750076i	0.131936	−	0.0287008i	0.278048	+	0.960567i	$0.410313\pi$
$684$	−19.1273	+	5.61628i	−0.731351	+	0.214744i
$685$	−12.0115	+	12.9217i	−0.458935	+	0.493714i
$686$	−2.03059	+	6.91554i	−0.0775281	+	0.264037i
$687$	−3.14212	−	1.17195i	−0.119879	−	0.0447126i
$688$	7.66328	−	5.73666i	0.292160	−	0.218708i
$689$	−1.85315			−0.0705992
$690$	1.59716	+	5.74638i	0.0608029	+	0.218761i
$691$	6.22325			0.236744			0.118372	−	0.992969i	$-0.462233\pi$
$691$	6.22325			0.236744			0.118372	+	0.992969i	$0.462233\pi$
$692$	−17.6662	+	13.2248i	−0.671568	+	0.502730i
$693$	6.95510	+	2.59412i	0.264202	+	0.0985424i
$694$	5.23196	−	17.8184i	0.198602	−	0.676378i
$695$	0.305666	+	8.37277i	0.0115946	+	0.317597i
$696$	−4.15729	+	1.22069i	−0.157582	+	0.0462702i
$697$	−7.52873	+	1.63778i	−0.285171	+	0.0620352i
$698$	−1.10236	−	2.95553i	−0.0417248	−	0.111869i
$699$	−2.88430	−	2.49926i	−0.109094	−	0.0945306i
$700$	0.00415398	+	2.62583i	0.000157006	+	0.0992471i
$701$	39.1319	−	5.62632i	1.47799	−	0.212503i	0.644317	−	0.764758i	$-0.277142\pi$
$701$	39.1319	−	5.62632i	1.47799	−	0.212503i	0.833675	+	0.552255i	$0.186233\pi$
$702$	−2.49901	+	3.33828i	−0.0943190	+	0.125995i
$703$	−1.00468	+	4.61845i	−0.0378923	+	0.174188i
$704$	−3.44015	+	3.97014i	−0.129655	+	0.149630i
$705$	6.31558	+	12.5920i	0.237858	+	0.474243i
$706$	1.92412	+	1.23656i	0.0724153	+	0.0465385i
$707$	1.82825	−	3.34819i	0.0687585	−	0.125922i
$708$	2.62554	+	0.187782i	0.0986738	+	0.00705729i
$709$	32.3689	+	9.50437i	1.21564	+	0.356944i	0.825813	−	0.563944i	$-0.190717\pi$
$709$	32.3689	+	9.50437i	1.21564	+	0.356944i	0.389827	+	0.920888i	$0.372535\pi$
$710$	−8.55839	−	14.3984i	−0.321191	−	0.540364i
$711$	16.2975	+	2.34323i	0.611205	+	0.0878780i
$712$	−5.67574	+	5.67574i	−0.212707	+	0.212707i
$713$	−9.94509	−	5.16981i	−0.372447	−	0.193611i
$714$			0.308661i			0.0115514i
$715$	0.540173	−	15.4675i	0.0202013	−	0.578451i
$716$	5.03987	+	11.0358i	0.188349	+	0.412426i
$717$	2.16556	+	3.96593i	0.0808744	+	0.148110i
$718$	−0.422060	+	5.90117i	−0.0157511	+	0.220230i
$719$	5.00629	+	17.0499i	0.186703	+	0.635852i	0.998641	+	0.0521090i	$0.0165943\pi$
$719$	5.00629	+	17.0499i	0.186703	+	0.635852i	−0.811938	+	0.583743i	$0.801588\pi$
$720$	1.90454	+	5.70715i	0.0709779	+	0.212693i
$721$	−0.234835	+	0.514216i	−0.00874570	+	0.0191504i
$722$	−35.7994	+	2.56043i	−1.33232	+	0.0952892i
$723$	8.53665	+	1.85704i	0.317482	+	0.0690639i
$724$	2.21653	+	15.4163i	0.0823768	+	0.572943i
$725$	−13.6702	−	36.4749i	−0.507699	−	1.35464i
$726$	7.76516	−	4.99036i	0.288192	−	0.185210i
$727$	−2.12116	−	29.6577i	−0.0786694	−	1.09994i	−0.871466	−	0.490456i	$-0.836830\pi$
$727$	−2.12116	−	29.6577i	−0.0786694	−	1.09994i	0.792796	−	0.609486i	$-0.208624\pi$
$728$	−0.648313	+	0.241808i	−0.0240281	+	0.00896201i
$729$	6.32674	−	9.84460i	0.234324	−	0.364615i
$730$	10.6137	−	25.6813i	0.392832	−	0.950507i
$731$	6.62461	+	7.64521i	0.245020	+	0.282768i
$732$	−4.80123	+	2.62167i	−0.177459	+	0.0968998i
$733$	−13.4420	+	36.0395i	−0.496493	+	1.33115i	0.411211	+	0.911540i	$0.365106\pi$
$733$	−13.4420	+	36.0395i	−0.496493	+	1.33115i	−0.907705	+	0.419610i	$0.862167\pi$
$734$	3.09697	−	21.5399i	0.114311	−	0.795052i
$735$	8.31375	−	0.900473i	0.306657	−	0.0332145i
$736$	0.0978717	+	4.79483i	0.00360760	+	0.176740i
$737$	−14.1274	−	14.1274i	−0.520388	−	0.520388i
$738$	−11.7563	−	15.7046i	−0.432756	−	0.578095i
$739$	−33.1917	+	15.1581i	−1.22097	+	0.557600i	−0.918448	−	0.395541i	$-0.870557\pi$
$739$	−33.1917	+	15.1581i	−1.22097	+	0.557600i	−0.302526	+	0.953141i	$0.597830\pi$
$740$	1.40403	+	0.252169i	0.0516133	+	0.00926991i
$741$	−4.10302	+	3.55528i	−0.150728	+	0.130607i
$742$	−0.648293	−	0.353995i	−0.0237996	−	0.0129956i
$743$	4.83918	+	22.2454i	0.177532	+	0.816104i	0.976634	+	0.214908i	$0.0689451\pi$
$743$	4.83918	+	22.2454i	0.177532	+	0.816104i	−0.799102	+	0.601196i	$0.794691\pi$
$744$	1.18238	+	0.539973i	0.0433480	+	0.0197964i
$745$	−1.37290	−	7.57520i	−0.0502993	−	0.277534i
$746$	2.38181	+	3.70617i	0.0872042	+	0.135692i
$747$	9.31832	+	6.97560i	0.340939	+	0.255224i
$748$	−4.44418	−	3.32687i	−0.162495	−	0.121643i
$749$	−0.599772	−	0.933264i	−0.0219152	−	0.0341007i
$750$	5.73913	−	2.39320i	0.209563	−	0.0873872i
$751$	−34.3558	−	15.6898i	−1.25366	−	0.572528i	−0.325794	−	0.945441i	$-0.605632\pi$
$751$	−34.3558	−	15.6898i	−1.25366	−	0.572528i	−0.927866	+	0.372913i	$0.878359\pi$
$752$	2.40782	+	11.0686i	0.0878042	+	0.403629i
$753$	−5.01154	−	2.73651i	−0.182631	−	0.0997238i
$754$	7.75736	−	6.72179i	0.282506	−	0.244793i
$755$	−7.16572	+	4.98365i	−0.260787	+	0.181374i
$756$	−1.51193	+	0.690475i	−0.0549883	+	0.0251123i
$757$	19.7128	+	26.3332i	0.716473	+	0.957096i	0.999998	−	0.00186877i	$-0.000594847\pi$
$757$	19.7128	+	26.3332i	0.716473	+	0.957096i	−0.283525	+	0.958965i	$0.591504\pi$
$758$	−18.2961	−	18.2961i	−0.664544	−	0.664544i
$759$	3.67241	−	13.5220i	0.133300	−	0.490819i
$760$	1.78392	+	16.4703i	0.0647097	+	0.597442i
$761$	3.68712	−	25.6445i	0.133658	−	0.929612i	−0.807071	−	0.590454i	$-0.798949\pi$
$761$	3.68712	−	25.6445i	0.133658	−	0.929612i	0.940729	−	0.339158i	$-0.110142\pi$
$762$	3.23445	−	8.67189i	0.117172	−	0.314150i
$763$	6.46388	−	3.52955i	0.234008	−	0.127778i
$764$	−3.43509	−	3.96431i	−0.124277	−	0.143424i
$765$	−5.87220	+	2.43779i	−0.212310	+	0.0881384i
$766$	−17.6356	+	27.4416i	−0.637202	+	0.991506i
$767$	−5.84265	+	2.17920i	−0.210966	+	0.0786862i
$768$	−0.0396764	−	0.554748i	−0.00143170	−	0.0200178i
$769$	24.8725	−	15.9846i	0.896924	−	0.576418i	−0.00895272	−	0.999960i	$-0.502850\pi$
$769$	24.8725	−	15.9846i	0.896924	−	0.576418i	0.905876	+	0.423542i	$0.139213\pi$
$770$	3.14362	−	5.30786i	0.113288	−	0.191282i
$771$	−2.18051	−	15.1658i	−0.0785291	−	0.546182i
$772$	−18.1858	−	3.95609i	−0.654523	−	0.142383i
$773$	−28.4865	+	2.03740i	−1.02459	+	0.0732801i	−0.573506	−	0.819202i	$-0.694417\pi$
$773$	−28.4865	+	2.03740i	−1.02459	+	0.0732801i	−0.451084	+	0.892482i	$0.648962\pi$
$774$	−10.6998	+	23.4293i	−0.384596	+	0.842148i
$775$	−4.06642	+	10.9554i	−0.146070	+	0.393529i
$776$	1.65190	+	5.62586i	0.0592998	+	0.201956i
$777$	−0.0132928	+	0.185857i	−0.000476876	+	0.00666759i
$778$	9.63813	+	17.6509i	0.345544	+	0.632816i
$779$	−22.4395	−	49.1357i	−0.803979	−	1.76047i
$780$	1.11749	+	1.19836i	0.0400125	+	0.0429083i
$781$			39.3511i			1.40809i
$782$	−5.04675	+	0.464643i	−0.180471	+	0.0166156i
$783$	17.4348	−	17.4348i	0.623070	−	0.623070i
$784$	6.65576	+	0.956953i	0.237706	+	0.0341769i
$785$	1.25670	−	0.746980i	0.0448536	−	0.0266608i
$786$	1.53863	+	0.451781i	0.0548810	+	0.0161145i
$787$	52.2222	+	3.73501i	1.86152	+	0.133139i	0.956408	−	0.292034i	$-0.0943319\pi$
$787$	52.2222	+	3.73501i	1.86152	+	0.133139i	0.905112	+	0.425172i	$0.139786\pi$
$788$	−8.55710	+	15.6712i	−0.304834	+	0.558262i
$789$	10.1339	+	6.51266i	0.360777	+	0.231857i
$790$	4.31088	−	12.9864i	0.153374	−	0.462035i
$791$	−7.08085	+	8.17174i	−0.251766	+	0.290554i
$792$	3.00457	−	13.8118i	0.106763	−	0.490780i
$793$	7.76627	−	10.3745i	0.275788	−	0.368410i
$794$	20.0402	−	2.88134i	0.711199	−	0.102255i
$795$	−0.185600	+	1.73928i	−0.00658256	+	0.0616858i
$796$	16.8904	+	14.6356i	0.598663	+	0.518744i
$797$	−4.11544	−	11.0339i	−0.145776	−	0.390841i	0.843455	−	0.537199i	$-0.180518\pi$
$797$	−4.11544	−	11.0339i	−0.145776	−	0.390841i	−0.989232	+	0.146358i	$0.953245\pi$
$798$	−2.11452	+	0.459985i	−0.0748531	+	0.0162833i
$799$	−11.4856	+	3.37248i	−0.406332	+	0.119310i
$800$	4.94798	−	0.719403i	0.174937	−	0.0254347i
$801$	6.08466	−	20.7225i	0.214991	−	0.732192i
$802$	31.3859	+	11.7063i	1.10827	+	0.413365i
$803$	−52.2620	+	39.1228i	−1.84429	+	1.38061i
$804$	2.11520			0.0745975
$805$	−1.11721	−	5.51986i	−0.0393763	−	0.194550i
$806$	−3.07934			−0.108465
$807$	−5.79858	+	4.34076i	−0.204120	+	0.152802i
$808$	−6.80603	−	2.53852i	−0.239435	−	0.0893047i
$809$	15.6159	−	53.1828i	0.549025	−	1.86981i	0.0586831	−	0.998277i	$-0.481310\pi$
$809$	15.6159	−	53.1828i	0.549025	−	1.86981i	0.490342	−	0.871530i	$-0.336872\pi$
$810$	−10.3373	−	9.60909i	−0.363215	−	0.337629i
$811$	22.1255	−	6.49663i	0.776931	−	0.228128i	0.130856	−	0.991401i	$-0.458227\pi$
$811$	22.1255	−	6.49663i	0.776931	−	0.228128i	0.646075	+	0.763274i	$0.276409\pi$
$812$	3.99781	−	0.869670i	0.140296	−	0.0305194i
$813$	0.719283	+	1.92847i	0.0252264	+	0.0676345i
$814$	−2.53275	−	2.19464i	−0.0887727	−	0.0769220i
$815$	26.4243	+	32.7375i	0.925603	+	1.14675i
$816$	0.581757	−	0.0836440i	0.0203656	−	0.00292813i
$817$	−42.5020	+	56.7760i	−1.48696	+	1.98634i
$818$	1.82908	−	8.40812i	0.0639521	−	0.293983i
$819$	1.21921	−	1.40705i	0.0426027	−	0.0491662i
$820$	−14.5727	+	7.30901i	−0.508902	+	0.255242i
$821$	−32.7325	−	21.0359i	−1.14237	−	0.734157i	−0.174265	−	0.984699i	$-0.555755\pi$
$821$	−32.7325	−	21.0359i	−1.14237	−	0.734157i	−0.968106	+	0.250542i	$0.919391\pi$
$822$	−2.10297	+	3.85130i	−0.0733494	+	0.134329i
$823$	46.2232	+	3.30595i	1.61124	+	0.115238i	0.847682	−	0.530504i	$-0.177997\pi$
$823$	46.2232	+	3.30595i	1.61124	+	0.115238i	0.763556	+	0.645742i	$0.223452\pi$
$824$	1.03282	+	0.303263i	0.0359800	+	0.0105647i
$825$	−14.4630	−	2.05611i	−0.503535	−	0.0715846i
$826$	−2.46024	−	0.353728i	−0.0856025	−	0.0123078i
$827$	−22.8503	+	22.8503i	−0.794583	+	0.794583i	−0.982235	−	0.187653i	$-0.939912\pi$
$827$	−22.8503	+	22.8503i	−0.794583	+	0.794583i	0.187653	+	0.982235i	$0.439912\pi$
$828$	−6.41409	−	11.1970i	−0.222905	−	0.389124i
$829$			13.5060i			0.469082i	0.972106	+	0.234541i	$0.0753588\pi$
$829$			13.5060i			0.469082i	−0.972106	+	0.234541i	$0.924641\pi$
$830$	7.07465	−	6.59719i	0.245565	−	0.228992i
$831$	−4.37064	−	9.57036i	−0.151616	−	0.331992i
$832$	0.631441	+	1.15640i	0.0218913	+	0.0400909i
$833$	−0.506932	+	7.08783i	−0.0175641	+	0.245579i
$834$	0.587103	+	1.99949i	0.0203297	+	0.0692367i
$835$	10.3019	+	5.14659i	0.356513	+	0.178105i
$836$	16.1681	−	35.4033i	0.559187	−	1.22445i
$837$	−7.37813	+	0.527694i	−0.255025	+	0.0182398i
$838$	9.36320	+	2.03684i	0.323446	+	0.0703615i
$839$	7.03619	+	48.9378i	0.242916	+	1.68952i	0.637333	+	0.770589i	$0.280038\pi$
$839$	7.03619	+	48.9378i	0.242916	+	1.68952i	−0.394416	+	0.918932i	$0.629053\pi$
$840$	0.162019	+	0.632695i	0.00559018	+	0.0218300i
$841$	−26.6608	+	17.1338i	−0.919337	+	0.590822i
$842$	−0.707596	−	9.89348i	−0.0243854	−	0.340952i
$843$	−10.2860	+	3.83648i	−0.354269	+	0.132135i
$844$	−4.47484	+	6.96299i	−0.154030	+	0.239676i
$845$	23.2775	+	9.62029i	0.800770	+	0.330948i
$846$	−19.9592	−	23.0341i	−0.686211	−	0.791929i
$847$	−7.64984	+	4.17713i	−0.262851	+	0.143528i
$848$	−0.491520	+	1.31782i	−0.0168789	+	0.0452540i
$849$	−1.64341	+	11.4302i	−0.0564017	+	0.392283i
$850$	1.13133	+	5.16132i	0.0388043	+	0.177032i
$851$	−3.05886	+	0.0624372i	−0.104856	+	0.00214032i
$852$	−2.94590	−	2.94590i	−0.100925	−	0.100925i
$853$	−19.9294	−	26.6226i	−0.682370	−	0.911540i	0.316949	−	0.948443i	$-0.397342\pi$
$853$	−19.9294	−	26.6226i	−0.682370	−	0.911540i	−0.999319	+	0.0369028i	$0.988251\pi$
$854$	4.69868	−	2.14582i	0.160786	−	0.0734283i
$855$	−25.4514	−	36.5952i	−0.870420	−	1.25153i
$856$	−1.59646	+	1.38334i	−0.0545659	+	0.0472816i
$857$	5.26605	+	2.87548i	0.179885	+	0.0982246i	0.566668	−	0.823946i	$-0.308232\pi$
$857$	5.26605	+	2.87548i	0.179885	+	0.0982246i	−0.386783	+	0.922171i	$0.626414\pi$
$858$	−0.818268	−	3.76152i	−0.0279352	−	0.128416i
$859$	−12.2946	−	5.61474i	−0.419485	−	0.191572i	0.194478	−	0.980907i	$-0.437699\pi$
$859$	−12.2946	−	5.61474i	−0.419485	−	0.191572i	−0.613964	+	0.789334i	$0.710426\pi$
$860$	17.5922	+	12.1939i	0.599889	+	0.415807i
$861$	−1.15131	−	1.79147i	−0.0392365	−	0.0610531i
$862$	19.4399	+	14.5525i	0.662126	+	0.495661i
$863$	−20.2283	−	15.1427i	−0.688580	−	0.515464i	0.196735	−	0.980457i	$-0.436966\pi$
$863$	−20.2283	−	15.1427i	−0.688580	−	0.515464i	−0.885315	+	0.464992i	$0.846057\pi$
$864$	1.71111	+	2.66253i	0.0582130	+	0.0905812i
$865$	−40.5554	−	28.1106i	−1.37892	−	0.955789i
$866$	−2.97654	−	1.35934i	−0.101147	−	0.0461923i
$867$	−1.87774	−	8.63183i	−0.0637714	−	0.293152i
$868$	−1.07726	−	0.588226i	−0.0365645	−	0.0199657i
$869$	−24.2945	+	21.0513i	−0.824135	+	0.714117i
$870$	−5.53183	−	7.95391i	−0.187547	−	0.269663i
$871$	−4.55812	+	2.08162i	−0.154446	+	0.0705331i
$872$	−8.40405	−	11.2265i	−0.284597	−	0.380177i
$873$	−11.1556	−	11.1556i	−0.377561	−	0.377561i
$874$	−10.7040	−	33.8809i	−0.362070	−	1.14604i
$875$	−5.56666	+	1.86745i	−0.188187	+	0.0631312i
$876$	0.983623	−	6.84125i	0.0332335	−	0.231144i
$877$	8.87087	−	23.7837i	0.299548	−	0.803119i	−0.696763	−	0.717302i	$-0.745377\pi$
$877$	8.87087	−	23.7837i	0.299548	−	0.803119i	0.996311	−	0.0858176i	$-0.0273502\pi$
$878$	19.4171	−	10.6025i	0.655296	−	0.357819i
$879$	−0.0592100	−	0.0683320i	−0.00199710	−	0.00230478i
$880$	−10.8560	−	4.48665i	−0.365956	−	0.151245i
$881$	−8.39993	+	13.0705i	−0.283001	+	0.440358i	−0.953429	−	0.301616i	$-0.902474\pi$
$881$	−8.39993	+	13.0705i	−0.283001	+	0.440358i	0.670429	+	0.741974i	$0.266110\pi$
$882$	−16.9519	+	6.32274i	−0.570801	+	0.212898i
$883$	−0.718556	−	10.0467i	−0.0241813	−	0.338099i	−0.995113	−	0.0987425i	$-0.968518\pi$
$883$	−0.718556	−	10.0467i	−0.0241813	−	0.338099i	0.970932	−	0.239357i	$-0.0769365\pi$
$884$	−1.17133	+	0.752767i	−0.0393960	+	0.0253183i
$885$	1.46013	+	5.70190i	0.0490817	+	0.191667i
$886$	4.36358	+	30.3494i	0.146597	+	1.01961i
$887$	−54.8198	−	11.9253i	−1.84067	−	0.400413i	−0.848910	−	0.528537i	$-0.822741\pi$
$887$	−54.8198	−	11.9253i	−1.84067	−	0.400413i	−0.991758	+	0.128124i	$0.959104\pi$
$888$	0.353901	−	0.0253115i	0.0118762	−	0.000849399i
$889$	−3.63056	+	7.94981i	−0.121765	+	0.266628i
$890$	−16.0561	−	8.02125i	−0.538203	−	0.268873i
$891$	9.34153	+	31.8143i	0.312953	+	1.06582i
$892$	0.419362	−	5.86345i	0.0140413	−	0.196323i
$893$	−40.2201	−	73.6576i	−1.34591	−	2.46486i
$894$	−0.795450	−	1.74179i	−0.0266038	−	0.0582543i
$895$	−19.8404	+	18.5014i	−0.663192	+	0.618433i
$896$			0.525167i			0.0175446i
$897$	−2.85574	−	2.04819i	−0.0953503	−	0.0683871i
$898$	−28.3919	+	28.3919i	−0.947450	+	0.947450i
$899$	18.0222	+	2.59120i	0.601074	+	0.0864214i
$900$	−10.7572	+	8.07935i	−0.358574	+	0.269312i
$901$	−1.42614	−	0.418751i	−0.0475114	−	0.0139506i
$902$	38.2033	+	2.73236i	1.27203	+	0.0909775i
$903$	−1.33997	+	2.45396i	−0.0445913	+	0.0816628i
$904$	17.3207	+	11.1314i	0.576079	+	0.370223i
$905$	−31.1303	+	15.6135i	−1.03481	+	0.519012i
$906$	−1.42168	+	1.64070i	−0.0472321	+	0.0545087i
$907$	6.97127	−	32.0464i	0.231477	−	1.06408i	−0.703864	−	0.710335i	$-0.748543\pi$
$907$	6.97127	−	32.0464i	0.231477	−	1.06408i	0.935341	−	0.353748i	$-0.115093\pi$
$908$	7.80412	−	10.4251i	0.258989	−	0.345969i
$909$	19.3462	−	2.78157i	0.641674	−	0.0922588i
$910$	−0.971789	−	1.20397i	−0.0322145	−	0.0399111i
$911$	7.84903	+	6.80122i	0.260050	+	0.225334i	0.775121	−	0.631813i	$-0.217689\pi$
$911$	7.84903	+	6.80122i	0.260050	+	0.225334i	−0.515071	+	0.857148i	$0.672234\pi$
$912$	1.43998	+	3.86074i	0.0476825	+	0.127842i
$913$	−22.2065	+	4.83072i	−0.734927	+	0.159873i
$914$	−20.7027	+	6.07886i	−0.684784	+	0.201071i
$915$	−8.95922	−	8.32811i	−0.296183	−	0.275319i
$916$	1.69879	−	5.78554i	0.0561295	−	0.191160i
$917$	−1.41873	−	0.529160i	−0.0468507	−	0.0174744i
$918$	−2.67752	+	2.00437i	−0.0883713	+	0.0661539i
$919$	28.9282			0.954253			0.477126	−	0.878835i	$-0.341678\pi$
$919$	28.9282			0.954253			0.477126	+	0.878835i	$0.341678\pi$
$920$	−10.1009	+	3.60151i	−0.333018	+	0.118738i
$921$	3.62979			0.119606
$922$	12.9862	−	9.72131i	0.427676	−	0.320154i
$923$	9.24733	+	3.44908i	0.304380	+	0.113528i
$924$	0.432281	−	1.47221i	0.0142210	−	0.0484323i
$925$	0.458942	+	3.15656i	0.0150899	+	0.103787i
$926$	2.62618	−	0.771116i	0.0863016	−	0.0253404i
$927$	−2.83012	+	0.615654i	−0.0929532	+	0.0202207i
$928$	−2.72250	−	7.29930i	−0.0893704	−	0.239611i
$929$	14.5723	+	12.6270i	0.478102	+	0.414278i	0.860289	−	0.509808i	$-0.170283\pi$
$929$	14.5723	+	12.6270i	0.478102	+	0.414278i	−0.382187	+	0.924085i	$0.624829\pi$
$930$	−0.308408	+	2.89012i	−0.0101131	+	0.0947709i
$931$	−49.3114	+	7.08991i	−1.61612	+	0.232362i
$932$	4.11231	−	5.49340i	0.134703	−	0.179942i
$933$	1.97149	−	9.06279i	0.0645437	−	0.296702i
$934$	13.7690	−	15.8903i	0.450536	−	0.519946i
$935$	3.91085	−	11.7813i	0.127899	−	0.385290i
$936$	−2.98236	−	1.91665i	−0.0974815	−	0.0626476i
$937$	28.1159	−	51.4904i	0.918505	−	1.68212i	0.208372	−	0.978050i	$-0.433183\pi$
$937$	28.1159	−	51.4904i	0.918505	−	1.68212i	0.710133	−	0.704067i	$-0.248635\pi$
$938$	−1.99222	−	0.142487i	−0.0650483	−	0.00465235i
$939$	−3.11724	−	0.915305i	−0.101727	−	0.0298699i
$940$	−21.7730	+	12.9418i	−0.710157	+	0.422115i
$941$	7.01161	+	1.00812i	0.228572	+	0.0328637i	0.255649	−	0.966770i	$-0.417711\pi$
$941$	7.01161	+	1.00812i	0.228572	+	0.0328637i	−0.0270771	+	0.999633i	$0.508620\pi$
$942$	0.257119	−	0.257119i	0.00837739	−	0.00837739i
$943$	27.5582	−	21.5212i	0.897419	−	0.700826i
$944$			4.73285i			0.154041i
$945$	−2.53474	−	2.71818i	−0.0824550	−	0.0884226i
$946$	−20.8901	−	45.7430i	−0.679197	−	1.48723i
$947$	25.5003	+	46.7003i	0.828647	+	1.51755i	0.855433	+	0.517913i	$0.173291\pi$
$947$	25.5003	+	46.7003i	0.828647	+	1.51755i	−0.0267858	+	0.999641i	$0.508527\pi$
$948$	0.242792	−	3.39468i	0.00788553	−	0.110254i
$949$	4.61299	+	15.7104i	0.149744	+	0.509981i
$950$	−33.6722	+	15.4420i	−1.09247	+	0.501005i
$951$	−1.76872	+	3.87295i	−0.0573546	+	0.125589i
$952$	−0.553567	+	0.0395919i	−0.0179412	+	0.00128318i
$953$	40.0012	+	8.70173i	1.29577	+	0.281877i	0.807007	−	0.590542i	$-0.201086\pi$
$953$	40.0012	+	8.70173i	1.29577	+	0.281877i	0.488760	+	0.872419i	$0.337450\pi$
$954$	−0.538580	−	3.74591i	−0.0174372	−	0.121278i
$955$	5.97716	−	10.0922i	0.193416	−	0.326574i
$956$	−6.83491	+	4.39253i	−0.221057	+	0.142064i
$957$	1.62377	+	22.7033i	0.0524891	+	0.733893i
$958$	25.9806	−	9.69028i	0.839397	−	0.313079i
$959$	2.24013	−	3.48571i	0.0723376	−	0.112560i
$960$	1.14858	−	0.476823i	0.0370703	−	0.0153894i
$961$	16.7237	+	19.3001i	0.539473	+	0.622585i
$962$	−0.737723	+	0.402827i	−0.0237851	+	0.0129877i
$963$	1.98630	−	5.32548i	0.0640076	−	0.171611i
$964$	−2.23550	+	15.5482i	−0.0720005	+	0.500774i
$965$	−4.48126	−	41.3739i	−0.144257	−	1.33187i
$966$	−0.607781	−	1.26204i	−0.0195550	−	0.0406055i
$967$	9.82303	+	9.82303i	0.315887	+	0.315887i	0.847185	−	0.531298i	$-0.178295\pi$
$967$	9.82303	+	9.82303i	0.315887	+	0.315887i	−0.531298	+	0.847185i	$0.678295\pi$
$968$	9.94597	+	13.2863i	0.319676	+	0.427037i
$969$	−3.96096	+	1.80891i	−0.127244	+	0.0581106i
$970$	−10.7636	+	7.48595i	−0.345599	+	0.240359i
$971$	−33.1961	+	28.7646i	−1.06531	+	0.923099i	−0.997215	−	0.0745794i	$-0.976239\pi$
$971$	−33.1961	+	28.7646i	−1.06531	+	0.923099i	−0.0680982	+	0.997679i	$0.521693\pi$
$972$	−11.4145	−	6.23277i	−0.366119	−	0.199916i
$973$	−0.418276	−	1.92278i	−0.0134093	−	0.0616416i
$974$	12.6201	+	5.76340i	0.404374	+	0.184671i
$975$	−1.75084	+	3.21851i	−0.0560717	+	0.103075i
$976$	−5.31768	−	8.27446i	−0.170215	−	0.264859i
$977$	−5.86733	−	4.39223i	−0.187712	−	0.140520i	0.501289	−	0.865280i	$-0.332860\pi$
$977$	−5.86733	−	4.39223i	−0.187712	−	0.140520i	−0.689001	+	0.724760i	$0.741950\pi$
$978$	8.37699	+	6.27094i	0.267867	+	0.200522i
$979$	22.7968	+	35.4725i	0.728589	+	1.13371i
$980$	2.68135	+	14.7948i	0.0856526	+	0.472601i
$981$	34.3232	+	15.6749i	1.09586	+	0.500461i
$982$	1.03132	+	4.74092i	0.0329109	+	0.151289i
$983$	−6.15839	−	3.36274i	−0.196422	−	0.107255i	0.378028	−	0.925794i	$-0.376602\pi$
$983$	−6.15839	−	3.36274i	−0.196422	−	0.107255i	−0.574450	+	0.818539i	$0.694784\pi$
$984$	−3.06453	+	2.65543i	−0.0976935	+	0.0846519i
$985$	−39.2967	−	7.05782i	−1.25210	−	0.224881i
$986$	7.48878	−	3.42001i	0.238491	−	0.108915i
$987$	−1.98272	−	2.64860i	−0.0631106	−	0.0843059i
$988$	−6.90250	−	6.90250i	−0.219598	−	0.219598i
$989$	−42.1405	−	18.2150i	−1.33999	−	0.579202i
$990$	31.4226	−	3.40342i	0.998676	−	0.108168i
$991$	−1.13966	+	7.92653i	−0.0362026	+	0.251795i	−0.999884	−	0.0152617i	$-0.995142\pi$
$991$	−1.13966	+	7.92653i	−0.0362026	+	0.251795i	0.963681	+	0.267056i	$0.0860510\pi$
$992$	−0.816749	+	2.18979i	−0.0259318	+	0.0695259i
$993$	−7.14847	+	3.90336i	−0.226850	+	0.123869i
$994$	2.57617	+	2.97306i	0.0817112	+	0.0942998i
$995$	−19.0878	+	46.1852i	−0.605123	+	1.46417i
$996$	1.30078	−	2.02406i	0.0412169	−	0.0641347i
$997$	10.8377	−	4.04227i	0.343235	−	0.128020i	−0.171935	−	0.985108i	$-0.555002\pi$
$997$	10.8377	−	4.04227i	0.343235	−	0.128020i	0.515169	+	0.857088i	$0.327729\pi$
$998$	2.46580	+	34.4764i	0.0780536	+	1.09133i
$999$	−1.69856	+	1.09160i	−0.0537401	+	0.0345367i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.107.2	yes	240
5.3	odd	4	inner	230.2.l.a.153.11	yes	240
23.20	odd	22	inner	230.2.l.a.227.11	yes	240
115.43	even	44	inner	230.2.l.a.43.2	✓	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.43.2	✓	240	115.43	even	44	inner
230.2.l.a.107.2	yes	240	1.1	even	1	trivial
230.2.l.a.153.11	yes	240	5.3	odd	4	inner
230.2.l.a.227.11	yes	240	23.20	odd	22	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.800541 + 0.599278i) q^{2} +(-0.521099 - 0.194360i) q^{3} +(0.281733 - 0.959493i) q^{4} +(2.23458 - 0.0815780i) q^{5} +(0.533637 - 0.156690i) q^{6} +(-0.513165 + 0.111632i) q^{7} +(0.349464 + 0.936950i) q^{8} +(-2.03348 - 1.76202i) q^{9} +O(q^{10})\)	\(q+(-0.800541 + 0.599278i) q^{2} +(-0.521099 - 0.194360i) q^{3} +(0.281733 - 0.959493i) q^{4} +(2.23458 - 0.0815780i) q^{5} +(0.533637 - 0.156690i) q^{6} +(-0.513165 + 0.111632i) q^{7} +(0.349464 + 0.936950i) q^{8} +(-2.03348 - 1.76202i) q^{9} +(-1.73999 + 1.40444i) q^{10} +(5.19978 - 0.747615i) q^{11} +(-0.333298 + 0.445233i) q^{12} +(0.280068 - 1.28745i) q^{13} +(0.343911 - 0.396895i) q^{14} +(-1.18029 - 0.391802i) q^{15} +(-0.841254 - 0.540641i) q^{16} +(0.506456 - 0.927505i) q^{17} +(2.68382 + 0.191951i) q^{18} +(7.10873 + 2.08731i) q^{19} +(0.551280 - 2.16705i) q^{20} +(0.289107 + 0.0415673i) q^{21} +(-3.71461 + 3.71461i) q^{22} +(-0.244437 + 4.78960i) q^{23} -0.556166i q^{24} +(4.98669 - 0.364585i) q^{25} +(0.547335 + 1.19850i) q^{26} +(1.51680 + 2.77782i) q^{27} +(-0.0374650 + 0.523829i) q^{28} +(-2.19483 - 7.47492i) q^{29} +(1.17967 - 0.393669i) q^{30} +(-0.970886 + 2.12594i) q^{31} +(0.997452 - 0.0713392i) q^{32} +(-2.85491 - 0.621047i) q^{33} +(0.150394 + 1.04601i) q^{34} +(-1.13760 + 0.291314i) q^{35} +(-2.26354 + 1.45469i) q^{36} +(0.0455108 + 0.636324i) q^{37} +(-6.94171 + 2.58912i) q^{38} +(-0.396172 + 0.616456i) q^{39} +(0.857340 + 2.06518i) q^{40} +(-4.77453 - 5.51010i) q^{41} +(-0.256352 + 0.139979i) q^{42} +(-3.34529 + 8.96907i) q^{43} +(0.747615 - 5.19978i) q^{44} +(-4.68772 - 3.77149i) q^{45} +(-2.67462 - 3.98076i) q^{46} +(-8.00971 - 8.00971i) q^{47} +(0.333298 + 0.445233i) q^{48} +(-6.11655 + 2.79333i) q^{49} +(-3.77356 + 3.28028i) q^{50} +(-0.444184 + 0.384887i) q^{51} +(-1.15640 - 0.631441i) q^{52} +(-0.298972 - 1.37435i) q^{53} +(-2.87895 - 1.31477i) q^{54} +(11.5583 - 2.09479i) q^{55} +(-0.283927 - 0.441798i) q^{56} +(-3.29866 - 2.46935i) q^{57} +(6.23661 + 4.66867i) q^{58} +(-2.55877 - 3.98152i) q^{59} +(-0.708459 + 1.02210i) q^{60} +(8.94703 + 4.08597i) q^{61} +(-0.496796 - 2.28374i) q^{62} +(1.24021 + 0.677206i) q^{63} +(-0.755750 + 0.654861i) q^{64} +(0.520807 - 2.89976i) q^{65} +(2.65765 - 1.21371i) q^{66} +(-2.27917 - 3.04461i) q^{67} +(-0.747249 - 0.747249i) q^{68} +(1.05828 - 2.44835i) q^{69} +(0.736119 - 0.914948i) q^{70} +(-1.06605 + 7.41456i) q^{71} +(0.940296 - 2.52103i) q^{72} +(-10.9071 + 5.95574i) q^{73} +(-0.417768 - 0.482130i) q^{74} +(-2.66942 - 0.779228i) q^{75} +(4.00552 - 6.23271i) q^{76} +(-2.58489 + 0.964113i) q^{77} +(-0.0522761 - 0.730916i) q^{78} +(-5.14789 + 3.30835i) q^{79} +(-1.92395 - 1.13948i) q^{80} +(0.898263 + 6.24755i) q^{81} +(7.12428 + 1.54979i) q^{82} +(-4.31503 + 0.308617i) q^{83} +(0.121334 - 0.265685i) q^{84} +(1.05605 - 2.11390i) q^{85} +(-2.69692 - 9.18487i) q^{86} +(-0.309099 + 4.32176i) q^{87} +(2.51761 + 4.61066i) q^{88} +(3.33441 + 7.30135i) q^{89} +(6.01288 + 0.209988i) q^{90} +0.691940i q^{91} +(4.52672 + 1.58392i) q^{92} +(0.919126 - 0.919126i) q^{93} +(11.2121 + 1.61206i) q^{94} +(16.0553 + 4.08435i) q^{95} +(-0.533637 - 0.156690i) q^{96} +(5.84842 + 0.418287i) q^{97} +(3.22257 - 5.90169i) q^{98} +(-11.8910 - 7.64185i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 240 * q - 8 * q^3 - 8 * q^6	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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