LMFDB - Embedded newform 230.2.j.a.209.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 10]))

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, 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:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			209.4
Character	$\chi$	$=$	230.209
Dual form			230.2.j.a.219.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 + 0.841254i) q^{2} +(0.665993 - 0.0957553i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.171396 + 2.22949i) q^{5} +(-0.279508 + 0.612038i) q^{6} +(1.62329 + 1.40659i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.44410 + 0.717653i) q^{9} +O(q^{10})$	\(q+(-0.540641 + 0.841254i) q^{2} +(0.665993 - 0.0957553i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.171396 + 2.22949i) q^{5} +(-0.279508 + 0.612038i) q^{6} +(1.62329 + 1.40659i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.44410 + 0.717653i) q^{9} +(-1.78290 - 1.34954i) q^{10} +(3.00982 - 1.93430i) q^{11} +(-0.363766 - 0.566030i) q^{12} +(-3.40020 + 2.94629i) q^{13} +(-2.06092 + 0.605141i) q^{14} +(0.0993370 + 1.50124i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(5.12683 + 2.34135i) q^{17} +(0.717653 - 2.44410i) q^{18} +(2.28599 + 5.00562i) q^{19} +(2.09922 - 0.770256i) q^{20} +(1.21579 + 0.781342i) q^{21} +3.57778i q^{22} +(-2.94656 - 3.78388i) q^{23} +0.672842 q^{24} +(-4.94125 - 0.764251i) q^{25} +(-0.640289 - 4.45331i) q^{26} +(-3.39515 + 1.55051i) q^{27} +(0.605141 - 2.06092i) q^{28} +(3.52252 - 7.71324i) q^{29} +(-1.31663 - 0.728062i) q^{30} +(-0.681945 + 4.74303i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(1.81930 - 1.57643i) q^{33} +(-4.74144 + 3.04714i) q^{34} +(-3.41421 + 3.37803i) q^{35} +(1.66812 + 1.92511i) q^{36} +(-2.34825 - 7.99739i) q^{37} +(-5.44690 - 0.783146i) q^{38} +(-1.98238 + 2.28779i) q^{39} +(-0.486941 + 2.18240i) q^{40} +(9.99296 + 2.93420i) q^{41} +(-1.31461 + 0.600364i) q^{42} +(3.35224 - 0.481980i) q^{43} +(-3.00982 - 1.93430i) q^{44} +(-1.18109 - 5.57210i) q^{45} +(4.77624 - 0.433085i) q^{46} -10.7053i q^{47} +(-0.363766 + 0.566030i) q^{48} +(-0.339622 - 2.36212i) q^{49} +(3.31437 - 3.74366i) q^{50} +(3.63863 + 1.06840i) q^{51} +(4.09253 + 1.86900i) q^{52} +(-4.00429 - 3.46974i) q^{53} +(0.531182 - 3.69445i) q^{54} +(3.79662 + 7.04190i) q^{55} +(1.40659 + 1.62329i) q^{56} +(2.00177 + 3.11481i) q^{57} +(4.58437 + 7.13343i) q^{58} +(1.25908 + 1.45305i) q^{59} +(1.32431 - 0.713996i) q^{60} +(0.973399 - 6.77014i) q^{61} +(-3.62141 - 3.13797i) q^{62} +(-4.97694 - 2.27289i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-5.98594 - 8.08568i) q^{65} +(0.342592 + 2.38278i) q^{66} +(-0.464748 + 0.723162i) q^{67} -5.63616i q^{68} +(-2.32472 - 2.23789i) q^{69} +(-0.995922 - 4.69852i) q^{70} +(7.34689 + 4.72156i) q^{71} +(-2.52136 + 0.362516i) q^{72} +(5.78187 - 2.64049i) q^{73} +(7.99739 + 2.34825i) q^{74} +(-3.36402 - 0.0358349i) q^{75} +(3.60364 - 4.15882i) q^{76} +(7.60660 + 1.09366i) q^{77} +(-0.852857 - 2.90456i) q^{78} +(-9.61636 - 11.0979i) q^{79} +(-1.57270 - 1.58954i) q^{80} +(4.31606 - 2.77376i) q^{81} +(-7.87101 + 6.82027i) q^{82} +(1.86485 + 6.35109i) q^{83} +(0.205675 - 1.43050i) q^{84} +(-6.09873 + 11.0289i) q^{85} +(-1.40689 + 3.08066i) q^{86} +(1.60739 - 5.47427i) q^{87} +(3.25447 - 1.48626i) q^{88} +(-0.622136 - 4.32705i) q^{89} +(5.32610 + 2.01891i) q^{90} -9.66375 q^{91} +(-2.21789 + 4.25217i) q^{92} +3.22413i q^{93} +(9.00583 + 5.78770i) q^{94} +(-11.5518 + 4.23865i) q^{95} +(-0.279508 - 0.612038i) q^{96} +(-1.51710 + 5.16676i) q^{97} +(2.17076 + 0.991351i) q^{98} +(-5.96816 + 6.88762i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{1}{11}\right)$

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 $

$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$2$	−0.540641	+	0.841254i	−0.382291	+	0.594856i
$3$	0.665993	−	0.0957553i	0.384511	−	0.0552844i	0.0526511	−	0.998613i	$-0.483233\pi$
$3$	0.665993	−	0.0957553i	0.384511	−	0.0552844i	0.331860	+	0.943329i	$0.392324\pi$
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	−0.171396	+	2.22949i	−0.0766506	+	0.997058i
$5$	−0.171396	+	2.22949i	−0.0766506	+	0.997058i
$6$	−0.279508	+	0.612038i	−0.114109	+	0.249864i
$7$	1.62329	+	1.40659i	0.613548	+	0.531642i	0.905257	−	0.424865i	$-0.139678\pi$
$7$	1.62329	+	1.40659i	0.613548	+	0.531642i	−0.291709	+	0.956507i	$0.594224\pi$
$8$	0.989821	+	0.142315i	0.349955	+	0.0503159i
$9$	−2.44410	+	0.717653i	−0.814700	+	0.239218i
$10$	−1.78290	−	1.34954i	−0.563803	−	0.426762i
$11$	3.00982	−	1.93430i	0.907496	−	0.583212i	−0.00150867	−	0.999999i	$-0.500480\pi$
$11$	3.00982	−	1.93430i	0.907496	−	0.583212i	0.909004	+	0.416787i	$0.136844\pi$
$12$	−0.363766	−	0.566030i	−0.105010	−	0.163399i
$13$	−3.40020	+	2.94629i	−0.943045	+	0.817153i	−0.983292	−	0.182037i	$-0.941731\pi$
$13$	−3.40020	+	2.94629i	−0.943045	+	0.817153i	0.0402468	+	0.999190i	$0.487186\pi$
$14$	−2.06092	+	0.605141i	−0.550804	+	0.161731i
$15$	0.0993370	+	1.50124i	0.0256487	+	0.387618i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	5.12683	+	2.34135i	1.24344	+	0.567860i	0.924958	−	0.380069i	$-0.124100\pi$
$17$	5.12683	+	2.34135i	1.24344	+	0.567860i	0.318482	+	0.947929i	$0.396827\pi$
$18$	0.717653	−	2.44410i	0.169152	−	0.576080i
$19$	2.28599	+	5.00562i	0.524442	+	1.14837i	0.967730	+	0.251989i	$0.0810848\pi$
$19$	2.28599	+	5.00562i	0.524442	+	1.14837i	−0.443288	+	0.896379i	$0.646188\pi$
$20$	2.09922	−	0.770256i	0.469399	−	0.172235i
$21$	1.21579	+	0.781342i	0.265308	+	0.170503i
$22$			3.57778i			0.762786i
$23$	−2.94656	−	3.78388i	−0.614401	−	0.788994i
$23$	−2.94656	−	3.78388i	−0.614401	−	0.788994i
$24$	0.672842			0.137343
$25$	−4.94125	−	0.764251i	−0.988249	−	0.152850i
$26$	−0.640289	−	4.45331i	−0.125571	−	0.873366i
$27$	−3.39515	+	1.55051i	−0.653397	+	0.298396i
$28$	0.605141	−	2.06092i	0.114361	−	0.389477i
$29$	3.52252	−	7.71324i	0.654115	−	1.43231i	−0.233790	−	0.972287i	$-0.575113\pi$
$29$	3.52252	−	7.71324i	0.654115	−	1.43231i	0.887905	−	0.460026i	$-0.152160\pi$
$30$	−1.31663	−	0.728062i	−0.240382	−	0.132925i
$31$	−0.681945	+	4.74303i	−0.122481	+	0.851874i	0.832249	+	0.554401i	$0.187053\pi$
$31$	−0.681945	+	4.74303i	−0.122481	+	0.851874i	−0.954730	+	0.297472i	$0.903856\pi$
$32$	−0.281733	−	0.959493i	−0.0498038	−	0.169616i
$33$	1.81930	−	1.57643i	0.316700	−	0.274422i
$34$	−4.74144	+	3.04714i	−0.813151	+	0.522580i
$35$	−3.41421	+	3.37803i	−0.577107	+	0.570992i
$36$	1.66812	+	1.92511i	0.278019	+	0.320851i
$37$	−2.34825	−	7.99739i	−0.386049	−	1.31476i	−0.891936	−	0.452163i	$-0.850653\pi$
$37$	−2.34825	−	7.99739i	−0.386049	−	1.31476i	0.505886	−	0.862600i	$-0.331165\pi$
$38$	−5.44690	−	0.783146i	−0.883604	−	0.127043i
$39$	−1.98238	+	2.28779i	−0.317436	+	0.366340i
$40$	−0.486941	+	2.18240i	−0.0769921	+	0.345068i
$41$	9.99296	+	2.93420i	1.56064	+	0.458245i	0.944259	−	0.329204i	$-0.106780\pi$
$41$	9.99296	+	2.93420i	1.56064	+	0.458245i	0.616380	+	0.787449i	$0.288599\pi$
$42$	−1.31461	+	0.600364i	−0.202849	+	0.0926381i
$43$	3.35224	−	0.481980i	0.511212	−	0.0735012i	0.118118	−	0.993000i	$-0.462314\pi$
$43$	3.35224	−	0.481980i	0.511212	−	0.0735012i	0.393094	+	0.919498i	$0.371405\pi$
$44$	−3.00982	−	1.93430i	−0.453748	−	0.291606i
$45$	−1.18109	−	5.57210i	−0.176067	−	0.830640i
$46$	4.77624	−	0.433085i	0.704218	−	0.0638549i
$47$		−	10.7053i		−	1.56152i	−0.624830	−	0.780761i	$-0.714832\pi$
$47$		−	10.7053i		−	1.56152i	0.624830	−	0.780761i	$-0.285168\pi$
$48$	−0.363766	+	0.566030i	−0.0525050	+	0.0816994i
$49$	−0.339622	−	2.36212i	−0.0485174	−	0.337446i
$50$	3.31437	−	3.74366i	0.468722	−	0.529433i
$51$	3.63863	+	1.06840i	0.509510	+	0.149606i
$52$	4.09253	+	1.86900i	0.567532	+	0.259183i
$53$	−4.00429	−	3.46974i	−0.550031	−	0.476605i	0.334947	−	0.942237i	$-0.391282\pi$
$53$	−4.00429	−	3.46974i	−0.550031	−	0.476605i	−0.884978	+	0.465632i	$0.845827\pi$
$54$	0.531182	−	3.69445i	0.0722847	−	0.502751i
$55$	3.79662	+	7.04190i	0.511936	+	0.949529i
$56$	1.40659	+	1.62329i	0.187964	+	0.216922i
$57$	2.00177	+	3.11481i	0.265141	+	0.412567i
$58$	4.58437	+	7.13343i	0.601958	+	0.936665i
$59$	1.25908	+	1.45305i	0.163918	+	0.189171i	0.831766	−	0.555126i	$-0.187330\pi$
$59$	1.25908	+	1.45305i	0.163918	+	0.189171i	−0.667848	+	0.744297i	$0.732785\pi$
$60$	1.32431	−	0.713996i	0.170967	−	0.0921765i
$61$	0.973399	−	6.77014i	0.124631	−	0.866828i	−0.827572	−	0.561360i	$-0.810278\pi$
$61$	0.973399	−	6.77014i	0.124631	−	0.866828i	0.952203	−	0.305467i	$-0.0988127\pi$
$62$	−3.62141	−	3.13797i	−0.459919	−	0.398522i
$63$	−4.97694	−	2.27289i	−0.627036	−	0.286358i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	−5.98594	−	8.08568i	−0.742464	−	1.00291i
$66$	0.342592	+	2.38278i	0.0421701	+	0.293300i
$67$	−0.464748	+	0.723162i	−0.0567780	+	0.0883483i	−0.868482	−	0.495721i	$-0.834904\pi$
$67$	−0.464748	+	0.723162i	−0.0567780	+	0.0883483i	0.811704	+	0.584069i	$0.198540\pi$
$68$		−	5.63616i		−	0.683485i
$69$	−2.32472	−	2.23789i	−0.279863	−	0.269410i
$70$	−0.995922	−	4.69852i	−0.119035	−	0.561581i
$71$	7.34689	+	4.72156i	0.871916	+	0.560346i	0.898338	−	0.439305i	$-0.144775\pi$
$71$	7.34689	+	4.72156i	0.871916	+	0.560346i	−0.0264224	+	0.999651i	$0.508411\pi$
$72$	−2.52136	+	0.362516i	−0.297145	+	0.0427230i
$73$	5.78187	−	2.64049i	0.676717	−	0.309046i	−0.0472479	−	0.998883i	$-0.515045\pi$
$73$	5.78187	−	2.64049i	0.676717	−	0.309046i	0.723965	+	0.689837i	$0.242318\pi$
$74$	7.99739	+	2.34825i	0.929678	+	0.272978i
$75$	−3.36402	−	0.0358349i	−0.388443	−	0.00413786i
$76$	3.60364	−	4.15882i	0.413366	−	0.477050i
$77$	7.60660	+	1.09366i	0.866852	+	0.124634i
$78$	−0.852857	−	2.90456i	−0.0965670	−	0.328877i
$79$	−9.61636	−	11.0979i	−1.08192	−	1.24861i	−0.966876	−	0.255248i	$-0.917843\pi$
$79$	−9.61636	−	11.0979i	−1.08192	−	1.24861i	−0.115049	−	0.993360i	$-0.536703\pi$
$80$	−1.57270	−	1.58954i	−0.175833	−	0.177716i
$81$	4.31606	−	2.77376i	0.479562	−	0.308196i
$82$	−7.87101	+	6.82027i	−0.869208	+	0.753173i
$83$	1.86485	+	6.35109i	0.204694	+	0.697123i	0.996289	+	0.0860767i	$0.0274330\pi$
$83$	1.86485	+	6.35109i	0.204694	+	0.697123i	−0.791595	+	0.611047i	$0.790749\pi$
$84$	0.205675	−	1.43050i	0.0224410	−	0.156081i
$85$	−6.09873	+	11.0289i	−0.661500	+	1.19625i
$86$	−1.40689	+	3.08066i	−0.151709	+	0.332196i
$87$	1.60739	−	5.47427i	0.172330	−	0.586903i
$88$	3.25447	−	1.48626i	0.346927	−	0.158436i
$89$	−0.622136	−	4.32705i	−0.0659463	−	0.458667i	−0.995861	−	0.0908909i	$-0.971029\pi$
$89$	−0.622136	−	4.32705i	−0.0659463	−	0.458667i	0.929915	−	0.367776i	$-0.119881\pi$
$90$	5.32610	+	2.01891i	0.561420	+	0.212812i
$91$	−9.66375			−1.01304
$92$	−2.21789	+	4.25217i	−0.231231	+	0.443319i
$93$			3.22413i			0.334326i
$94$	9.00583	+	5.78770i	0.928881	+	0.596955i
$95$	−11.5518	+	4.23865i	−1.18519	+	0.434876i
$96$	−0.279508	−	0.612038i	−0.0285272	−	0.0624659i
$97$	−1.51710	+	5.16676i	−0.154038	+	0.524605i	−0.999962	−	0.00869816i	$-0.997231\pi$
$97$	−1.51710	+	5.16676i	−0.154038	+	0.524605i	0.845924	+	0.533303i	$0.179049\pi$
$98$	2.17076	+	0.991351i	0.219279	+	0.100142i
$99$	−5.96816	+	6.88762i	−0.599822	+	0.692232i
$100$	1.35748	+	4.81220i	0.135748	+	0.481220i
$101$	−12.2869	+	3.60777i	−1.22260	+	0.358987i	−0.828451	−	0.560061i	$-0.810778\pi$
$101$	−12.2869	+	3.60777i	−1.22260	+	0.358987i	−0.394146	+	0.919048i	$0.628959\pi$
$102$	−2.86599	+	2.48339i	−0.283775	+	0.245892i
$103$	7.70414	+	11.9879i	0.759112	+	1.18120i	0.978637	+	0.205594i	$0.0659126\pi$
$103$	7.70414	+	11.9879i	0.759112	+	1.18120i	−0.219526	+	0.975607i	$0.570451\pi$
$104$	−3.78489	+	2.43240i	−0.371139	+	0.238516i
$105$	−1.95038	+	2.57668i	−0.190337	+	0.251458i
$106$	5.08381	−	1.49274i	0.493783	−	0.144988i
$107$	−3.89393	−	0.559862i	−0.376440	−	0.0541239i	−0.0485019	−	0.998823i	$-0.515445\pi$
$107$	−3.89393	−	0.559862i	−0.376440	−	0.0541239i	−0.327938	+	0.944699i	$0.606354\pi$
$108$	2.82079	+	2.44423i	0.271431	+	0.235196i
$109$	−4.07802	+	8.92962i	−0.390604	+	0.855303i	0.607534	+	0.794294i	$0.292159\pi$
$109$	−4.07802	+	8.92962i	−0.390604	+	0.855303i	−0.998137	+	0.0610086i	$0.980568\pi$
$110$	−7.97663	−	0.613217i	−0.760542	−	0.0584680i
$111$	−2.32971	−	5.10135i	−0.221126	−	0.484199i
$112$	−2.12606	+	0.305682i	−0.200894	+	0.0288842i
$113$	−2.59243	+	4.03389i	−0.243875	+	0.379477i	−0.941515	−	0.336972i	$-0.890597\pi$
$113$	−2.59243	+	4.03389i	−0.243875	+	0.379477i	0.697640	+	0.716449i	$0.254234\pi$
$114$	−3.70259			−0.346779
$115$	8.94115	−	5.92079i	0.833767	−	0.552116i
$116$	−8.47952			−0.787304
$117$	6.19601	−	9.64119i	0.572822	−	0.891328i
$118$	−1.90309	+	0.273624i	−0.175194	+	0.0251891i
$119$	5.02904	+	11.0121i	0.461011	+	1.00947i
$120$	−0.115322	+	1.50009i	−0.0105274	+	0.136939i
$121$	0.747967	−	1.63782i	0.0679970	−	0.148893i
$122$	5.16914	+	4.47909i	0.467992	+	0.405518i
$123$	6.93621	+	0.997276i	0.625417	+	0.0899214i
$124$	4.59770	−	1.35001i	0.412886	−	0.121234i
$125$	2.55080	−	10.8855i	0.228150	−	0.973626i
$126$	4.60282	−	2.95805i	0.410052	−	0.263524i
$127$	1.14551	+	1.78245i	0.101648	+	0.158167i	0.888352	−	0.459163i	$-0.151851\pi$
$127$	1.14551	+	1.78245i	0.101648	+	0.158167i	−0.786704	+	0.617330i	$0.788214\pi$
$128$	−0.755750	+	0.654861i	−0.0667995	+	0.0578821i
$129$	2.18642	−	0.641990i	0.192503	−	0.0565241i
$130$	10.0384	−	0.664239i	0.880422	−	0.0582576i
$131$	−4.29884	+	4.96113i	−0.375591	+	0.433456i	−0.911803	−	0.410628i	$-0.865309\pi$
$131$	−4.29884	+	4.96113i	−0.375591	+	0.433456i	0.536212	+	0.844084i	$0.319855\pi$
$132$	−2.18974	−	1.00002i	−0.190592	−	0.0870406i
$133$	−3.33004	+	11.3411i	−0.288751	+	0.983395i
$134$	−0.357101	−	0.781941i	−0.0308488	−	0.0675494i
$135$	−2.87494	−	7.83520i	−0.247435	−	0.674347i
$136$	4.74144	+	3.04714i	0.406575	+	0.261290i
$137$		−	6.32163i		−	0.540093i	−0.962847	−	0.270047i	$-0.912961\pi$
$137$		−	6.32163i		−	0.540093i	0.962847	−	0.270047i	$-0.0870391\pi$
$138$	3.13947	−	0.745782i	0.267249	−	0.0634852i
$139$	−11.5195			−0.977069			−0.488534	−	0.872545i	$-0.662468\pi$
$139$	−11.5195			−0.977069			−0.488534	+	0.872545i	$0.662468\pi$
$140$	4.49108	+	1.70239i	0.379566	+	0.143878i
$141$	−1.02509	−	7.12962i	−0.0863277	−	0.600423i
$142$	−7.94406	+	3.62793i	−0.666651	+	0.304449i
$143$	−4.53500	+	15.4448i	−0.379236	+	1.29156i
$144$	1.05818	−	2.31709i	0.0881817	−	0.193091i
$145$	16.5928	+	9.17544i	1.37796	+	0.761979i
$146$	−0.904592	+	6.29158i	−0.0748646	+	0.520695i
$147$	−0.452371	−	1.54063i	−0.0373109	−	0.127069i
$148$	−6.29918	+	5.45827i	−0.517790	+	0.448667i
$149$	11.1553	−	7.16911i	0.913882	−	0.587316i	0.00300539	−	0.999995i	$-0.499043\pi$
$149$	11.1553	−	7.16911i	0.913882	−	0.587316i	0.910876	+	0.412679i	$0.135407\pi$
$150$	1.84887	−	2.81062i	0.150960	−	0.229486i
$151$	11.3340	+	13.0801i	0.922344	+	1.06444i	0.997734	+	0.0672881i	$0.0214346\pi$
$151$	11.3340	+	13.0801i	0.922344	+	1.06444i	−0.0753891	+	0.997154i	$0.524020\pi$
$152$	1.55035	+	5.28000i	0.125750	+	0.428265i
$153$	−14.2108	−	2.04320i	−1.14887	−	0.165183i
$154$	−5.03248	+	5.80780i	−0.405529	+	0.468006i
$155$	−10.4577	−	2.33333i	−0.839979	−	0.187417i
$156$	2.90456	+	0.852857i	0.232551	+	0.0682832i
$157$	2.37044	−	1.08254i	0.189182	−	0.0863965i	−0.318572	−	0.947899i	$-0.603203\pi$
$157$	2.37044	−	1.08254i	0.189182	−	0.0863965i	0.507754	+	0.861502i	$0.330476\pi$
$158$	14.5351	−	2.08983i	1.15635	−	0.166258i
$159$	−2.99907	−	1.92739i	−0.237842	−	0.152852i
$160$	2.18747	−	0.463667i	0.172934	−	0.0366561i
$161$	0.539242	−	10.2870i	0.0424982	−	0.810727i
$162$			5.13051i			0.403091i
$163$	0.103171	−	0.160537i	0.00808097	−	0.0125742i	−0.837190	−	0.546913i	$-0.815803\pi$
$163$	0.103171	−	0.160537i	0.00808097	−	0.0125742i	0.845271	+	0.534339i	$0.179439\pi$
$164$	−1.48219	−	10.3088i	−0.115739	−	0.804984i
$165$	3.20282	+	4.32631i	0.249339	+	0.336803i
$166$	−6.35109	−	1.86485i	−0.492941	−	0.144740i
$167$	−3.82072	−	1.74487i	−0.295657	−	0.135022i	0.262064	−	0.965050i	$-0.415597\pi$
$167$	−3.82072	−	1.74487i	−0.295657	−	0.135022i	−0.557721	+	0.830029i	$0.688324\pi$
$168$	1.09222	+	0.946414i	0.0842666	+	0.0730174i
$169$	1.03064	−	7.16823i	0.0792797	−	0.551403i
$170$	−5.98090	−	11.0933i	−0.458714	−	0.850814i
$171$	−9.17950	−	10.5937i	−0.701974	−	0.810121i
$172$	−1.83100	−	2.84909i	−0.139612	−	0.217241i
$173$	−6.93676	−	10.7938i	−0.527392	−	0.820638i	0.470706	−	0.882290i	$-0.343999\pi$
$173$	−6.93676	−	10.7938i	−0.527392	−	0.820638i	−0.998098	+	0.0616525i	$0.980363\pi$
$174$	3.73622	+	4.31183i	0.283242	+	0.326879i
$175$	−6.94611	−	8.19093i	−0.525077	−	0.619176i
$176$	−0.509172	+	3.54137i	−0.0383803	+	0.266941i
$177$	0.977674	+	0.847159i	0.0734865	+	0.0636764i
$178$	3.97650	+	1.81601i	0.298051	+	0.136115i
$179$	18.1063	+	5.31648i	1.35332	+	0.397372i	0.876405	−	0.481575i	$-0.159935\pi$
$179$	18.1063	+	5.31648i	1.35332	+	0.397372i	0.476920	+	0.878947i	$0.341753\pi$
$180$	−4.57792	+	3.38909i	−0.341218	+	0.252608i
$181$	−0.448621	−	3.12022i	−0.0333457	−	0.231924i	0.966332	−	0.257297i	$-0.0828319\pi$
$181$	−0.448621	−	3.12022i	−0.0333457	−	0.231924i	−0.999678	+	0.0253726i	$0.991923\pi$
$182$	5.22462	−	8.12966i	0.387274	−	0.602611i
$183$		−	4.60207i		−	0.340195i
$184$	−2.37807	−	4.16471i	−0.175314	−	0.307026i
$185$	18.2326	−	3.86467i	1.34049	−	0.284136i
$186$	−2.71231	−	1.74309i	−0.198876	−	0.127810i
$187$	19.9597	−	2.86977i	1.45960	−	0.209859i
$188$	−9.73784	+	4.44712i	−0.710205	+	0.324340i
$189$	−7.69227	−	2.25865i	−0.559530	−	0.164293i
$190$	2.67959	−	12.0096i	0.194398	−	0.871266i
$191$	0.0925216	−	0.106776i	0.00669462	−	0.00772601i	−0.752392	−	0.658715i	$-0.771100\pi$
$191$	0.0925216	−	0.106776i	0.00669462	−	0.00772601i	0.759087	+	0.650989i	$0.225646\pi$
$192$	0.665993	+	0.0957553i	0.0480639	+	0.00691055i
$193$	−4.15927	−	14.1652i	−0.299391	−	1.01963i	−0.962539	−	0.271144i	$-0.912598\pi$
$193$	−4.15927	−	14.1652i	−0.299391	−	1.01963i	0.663148	−	0.748489i	$-0.269220\pi$
$194$	−3.52635	−	4.06962i	−0.253177	−	0.292182i
$195$	−4.76084	−	4.81182i	−0.340931	−	0.344582i
$196$	−2.00758	+	1.29019i	−0.143398	+	0.0921565i
$197$	−1.53751	+	1.33226i	−0.109543	+	0.0949194i	−0.707910	−	0.706303i	$-0.750362\pi$
$197$	−1.53751	+	1.33226i	−0.109543	+	0.0949194i	0.598367	+	0.801222i	$0.295816\pi$
$198$	−2.56761	−	8.74446i	−0.182472	−	0.621442i
$199$	−1.74376	+	12.1281i	−0.123612	+	0.859740i	0.829798	+	0.558063i	$0.188455\pi$
$199$	−1.74376	+	12.1281i	−0.123612	+	0.859740i	−0.953410	+	0.301677i	$0.902454\pi$
$200$	−4.78219	−	1.45968i	−0.338152	−	0.103215i
$201$	−0.240272	+	0.526123i	−0.0169475	+	0.0371098i
$202$	3.60777	−	12.2869i	0.253842	−	0.864507i
$203$	16.5675	−	7.56611i	1.16281	−	0.531037i
$204$	−0.539693	−	3.75365i	−0.0377860	−	0.262808i
$205$	−8.25452	+	21.7763i	−0.576521	+	1.52092i
$206$	−14.2500			−0.992846
$207$	9.91721	+	7.13358i	0.689294	+	0.495818i
$208$		−	4.49911i		−	0.311957i
$209$	16.5628	+	10.6443i	1.14567	+	0.736278i
$210$	−1.11319	−	3.03382i	−0.0768171	−	0.209353i
$211$	0.488377	+	1.06940i	0.0336212	+	0.0736202i	0.925698	−	0.378265i	$-0.123479\pi$
$211$	0.488377	+	1.06940i	0.0336212	+	0.0736202i	−0.892076	+	0.451885i	$0.850752\pi$
$212$	−1.49274	+	5.08381i	−0.102522	+	0.349158i
$213$	5.34509	+	2.44102i	0.366240	+	0.167256i
$214$	2.57620	−	2.97310i	0.176106	−	0.203237i
$215$	0.500008	+	7.55640i	0.0341003	+	0.515342i
$216$	−3.58125	+	1.05155i	−0.243673	+	0.0715490i
$217$	−7.77851	+	6.74012i	−0.528040	+	0.457549i
$218$	−5.30733	−	8.25837i	−0.359458	−	0.559327i
$219$	3.59784	−	2.31219i	0.243120	−	0.156244i
$220$	4.82836	−	6.37884i	0.325528	−	0.430061i
$221$	−24.3305	+	7.14409i	−1.63665	+	0.480563i
$222$	5.55106	+	0.798122i	0.372563	+	0.0535665i
$223$	4.77158	+	4.13460i	0.319529	+	0.276873i	0.799825	−	0.600233i	$-0.204925\pi$
$223$	4.77158	+	4.13460i	0.319529	+	0.276873i	−0.480296	+	0.877106i	$0.659471\pi$
$224$	0.892281	−	1.95382i	0.0596180	−	0.130545i
$225$	12.6254	−	1.67819i	0.841692	−	0.111880i
$226$	−1.99196	−	4.36178i	−0.132503	−	0.290141i
$227$	−14.0217	+	2.01602i	−0.930653	+	0.133808i	−0.590934	−	0.806720i	$-0.701241\pi$
$227$	−14.0217	+	2.01602i	−0.930653	+	0.133808i	−0.339718	+	0.940527i	$0.610332\pi$
$228$	2.00177	−	3.11481i	0.132570	−	0.206284i
$229$	−19.7975			−1.30826			−0.654129	−	0.756383i	$-0.726964\pi$
$229$	−19.7975			−1.30826			−0.654129	+	0.756383i	$0.726964\pi$
$230$	0.146932	+	10.7228i	0.00968839	+	0.707040i
$231$	5.17066			0.340205
$232$	4.58437	−	7.13343i	0.300979	−	0.468332i
$233$	−3.18877	+	0.458476i	−0.208903	+	0.0300358i	−0.245972	−	0.969277i	$-0.579107\pi$
$233$	−3.18877	+	0.458476i	−0.208903	+	0.0300358i	0.0370686	+	0.999313i	$0.488198\pi$
$234$	4.76086	+	10.4248i	0.311227	+	0.681493i
$235$	23.8672	+	1.83484i	1.55693	+	0.119692i
$236$	0.798703	−	1.74892i	0.0519912	−	0.113845i
$237$	−7.46711	−	6.47029i	−0.485041	−	0.420290i
$238$	−11.9828	−	1.72287i	−0.776732	−	0.111677i
$239$	24.3595	−	7.15258i	1.57568	−	0.462662i	0.627033	−	0.778993i	$-0.284269\pi$
$239$	24.3595	−	7.15258i	1.57568	−	0.462662i	0.948649	+	0.316331i	$0.102451\pi$
$240$	−1.19961	−	0.908027i	−0.0774345	−	0.0586129i
$241$	7.58766	−	4.87629i	0.488764	−	0.314110i	−0.272944	−	0.962030i	$-0.587997\pi$
$241$	7.58766	−	4.87629i	0.488764	−	0.314110i	0.761708	+	0.647920i	$0.224361\pi$
$242$	0.973439	+	1.51470i	0.0625751	+	0.0973687i
$243$	11.0712	−	9.59328i	0.710220	−	0.615409i
$244$	−6.56270	+	1.92698i	−0.420134	+	0.123362i
$245$	5.32453	−	0.352325i	0.340172	−	0.0225092i
$246$	−4.58896	+	5.29594i	−0.292581	+	0.337657i
$247$	−22.5208	−	10.2849i	−1.43297	−	0.654414i
$248$	−1.35001	+	4.59770i	−0.0857256	+	0.291955i
$249$	1.85013	+	4.05122i	0.117247	+	0.256735i
$250$	7.77837	+	8.03100i	0.491948	+	0.507925i
$251$	−10.3132	−	6.62787i	−0.650961	−	0.418347i	0.173056	−	0.984912i	$-0.444636\pi$
$251$	−10.3132	−	6.62787i	−0.650961	−	0.418347i	−0.824017	+	0.566565i	$0.808272\pi$
$252$			5.47138i			0.344665i
$253$	−16.1878	−	5.68929i	−1.01772	−	0.357683i
$254$	−2.11881			−0.132946
$255$	−3.00563	+	7.92917i	−0.188220	+	0.496544i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	22.2902	−	10.1796i	1.39043	−	0.634986i	0.427318	−	0.904101i	$-0.359458\pi$
$257$	22.2902	−	10.1796i	1.39043	−	0.634986i	0.963108	+	0.269115i	$0.0867312\pi$
$258$	−0.641990	+	2.18642i	−0.0399686	+	0.136120i
$259$	7.43718	−	16.2851i	0.462124	−	1.01191i
$260$	−4.86835	+	8.80391i	−0.301922	+	0.545996i
$261$	−3.07396	+	21.3799i	−0.190274	+	1.32338i
$262$	−1.84944	−	6.29860i	−0.114259	−	0.389129i
$263$	12.8796	−	11.1602i	0.794191	−	0.688170i	−0.160083	−	0.987103i	$-0.551176\pi$
$263$	12.8796	−	11.1602i	0.794191	−	0.688170i	0.954274	+	0.298933i	$0.0966309\pi$
$264$	2.02513	−	1.30147i	0.124638	−	0.0801002i
$265$	8.42206	−	8.33282i	0.517363	−	0.511881i
$266$	−7.74036	−	8.93285i	−0.474592	−	0.547708i
$267$	−0.828676	−	2.82221i	−0.0507142	−	0.172717i
$268$	0.850874	+	0.122337i	0.0519754	+	0.00747294i
$269$	−18.8639	+	21.7701i	−1.15015	+	1.32735i	−0.213558	+	0.976930i	$0.568505\pi$
$269$	−18.8639	+	21.7701i	−1.15015	+	1.32735i	−0.936594	+	0.350416i	$0.886040\pi$
$270$	8.14570	+	1.81748i	0.495732	+	0.110608i
$271$	−30.8450	−	9.05690i	−1.87370	−	0.550168i	−0.997695	−	0.0678644i	$-0.978381\pi$
$271$	−30.8450	−	9.05690i	−1.87370	−	0.550168i	−0.876004	−	0.482303i	$-0.839800\pi$
$272$	−5.12683	+	2.34135i	−0.310860	+	0.141965i
$273$	−6.43599	+	0.925356i	−0.389524	+	0.0560051i
$274$	5.31809	+	3.41773i	0.321278	+	0.206473i
$275$	−16.3506	+	7.25757i	−0.985976	+	0.437648i
$276$	−1.06993	+	3.04429i	−0.0644025	+	0.183245i
$277$		−	5.64509i		−	0.339180i	−0.985515	−	0.169590i	$-0.945756\pi$
$277$		−	5.64509i		−	0.339180i	0.985515	−	0.169590i	$-0.0542444\pi$
$278$	6.22790	−	9.69079i	0.373524	−	0.581215i
$279$	−1.73711	−	12.0819i	−0.103998	−	0.723322i
$280$	−3.86020	+	2.85776i	−0.230691	+	0.170784i
$281$	10.5515	+	3.09821i	0.629451	+	0.184824i	0.580871	−	0.813996i	$-0.302712\pi$
$281$	10.5515	+	3.09821i	0.629451	+	0.184824i	0.0485803	+	0.998819i	$0.484530\pi$
$282$	6.55202	+	2.99221i	0.390167	+	0.178183i
$283$	−3.92812	−	3.40373i	−0.233502	−	0.202331i	0.530248	−	0.847843i	$-0.322099\pi$
$283$	−3.92812	−	3.40373i	−0.233502	−	0.202331i	−0.763751	+	0.645512i	$0.776644\pi$
$284$	1.24287	−	8.64438i	0.0737510	−	0.512949i
$285$	−7.28754	+	3.92906i	−0.431677	+	0.232737i
$286$	−10.5412	−	12.1652i	−0.623313	−	0.719341i
$287$	12.0943	+	18.8191i	0.713904	+	1.11086i
$288$	1.37717	+	2.14291i	0.0811503	+	0.126272i
$289$	9.66989	+	11.1597i	0.568817	+	0.656450i
$290$	−16.6896	+	8.99817i	−0.980049	+	0.528391i
$291$	−0.515631	+	3.58630i	−0.0302268	+	0.210232i
$292$	−4.80375	−	4.16247i	−0.281118	−	0.243590i
$293$	−9.44334	−	4.31263i	−0.551686	−	0.251947i	0.120011	−	0.992773i	$-0.461707\pi$
$293$	−9.44334	−	4.31263i	−0.551686	−	0.251947i	−0.671697	+	0.740826i	$0.734434\pi$
$294$	1.54063	+	0.452371i	0.0898516	+	0.0263828i
$295$	−3.45536	+	2.55805i	−0.201179	+	0.148936i
$296$	−1.18620	−	8.25018i	−0.0689463	−	0.479532i
$297$	−7.21965	+	11.2340i	−0.418926	+	0.651862i
$298$			13.2604i			0.768154i
$299$	21.1673	+	4.18452i	1.22414	+	0.241997i
$300$	1.36487	+	3.07490i	0.0788006	+	0.177530i
$301$	6.11963	+	3.93285i	0.352729	+	0.226685i
$302$	−17.1313	+	2.46310i	−0.985794	+	0.141736i
$303$	−7.83756	+	3.57929i	−0.450256	+	0.205625i
$304$	−5.28000	−	1.55035i	−0.302829	−	0.0889186i
$305$	14.9271	+	3.33056i	0.854724	+	0.190707i
$306$	9.40178	−	10.8502i	0.537464	−	0.620266i
$307$	0.941037	+	0.135301i	0.0537078	+	0.00772202i	0.169116	−	0.985596i	$-0.445909\pi$
$307$	0.941037	+	0.135301i	0.0537078	+	0.00772202i	−0.115409	+	0.993318i	$0.536818\pi$
$308$	−2.16506	−	7.37353i	−0.123366	−	0.420146i
$309$	6.27881	+	7.24613i	0.357189	+	0.412218i
$310$	7.61676	−	7.53605i	0.432603	−	0.428019i
$311$	−3.48282	+	2.23827i	−0.197492	+	0.126921i	−0.635650	−	0.771978i	$-0.719268\pi$
$311$	−3.48282	+	2.23827i	−0.197492	+	0.126921i	0.438157	+	0.898898i	$0.355631\pi$
$312$	−2.28779	+	1.98238i	−0.129521	+	0.112230i
$313$	−2.67304	−	9.10353i	−0.151089	−	0.514562i	0.848811	−	0.528696i	$-0.177319\pi$
$313$	−2.67304	−	9.10353i	−0.151089	−	0.514562i	−0.999900	+	0.0141343i	$0.995501\pi$
$314$	−0.370863	+	2.57941i	−0.0209290	+	0.145565i
$315$	5.92042	−	10.7065i	0.333578	−	0.603242i
$316$	−6.10020	+	13.3576i	−0.343163	+	0.751422i
$317$	−4.00899	+	13.6534i	−0.225167	+	0.766850i	0.766969	+	0.641685i	$0.221764\pi$
$317$	−4.00899	+	13.6534i	−0.225167	+	0.766850i	−0.992136	+	0.125165i	$0.960054\pi$
$318$	3.24284	−	1.48096i	0.181850	−	0.0830480i
$319$	−4.31753	−	30.0291i	−0.241735	−	1.68131i
$320$	−0.792573	+	2.09089i	−0.0443062	+	0.116884i
$321$	−2.64694			−0.147738
$322$	8.36242	+	6.01520i	0.466019	+	0.335214i
$323$			31.0153i			1.72574i
$324$	−4.31606	−	2.77376i	−0.239781	−	0.154098i
$325$	19.0529	−	11.9597i	1.05687	−	0.663406i
$326$	0.0792739	+	0.173586i	0.00439058	+	0.00961402i
$327$	−1.86087	+	6.33756i	−0.102907	+	0.350468i
$328$	9.47367	+	4.32648i	0.523096	+	0.238890i
$329$	15.0579	−	17.3778i	0.830171	−	0.958068i
$330$	−5.37110	+	0.355406i	−0.295669	+	0.0195645i
$331$	−8.51959	+	2.50158i	−0.468279	+	0.137499i	−0.507355	−	0.861737i	$-0.669377\pi$
$331$	−8.51959	+	2.50158i	−0.468279	+	0.137499i	0.0390760	+	0.999236i	$0.487559\pi$
$332$	5.00247	−	4.33467i	0.274546	−	0.237896i
$333$	11.4787	+	17.8612i	0.629029	+	0.978788i
$334$	3.53351	−	2.27085i	0.193345	−	0.124255i
$335$	−1.53263	−	1.16010i	−0.0837363	−	0.0633829i
$336$	−1.38667	+	0.407164i	−0.0756492	+	0.0222126i
$337$	13.2132	+	1.89977i	0.719769	+	0.103487i	0.492459	−	0.870335i	$-0.336098\pi$
$337$	13.2132	+	1.89977i	0.719769	+	0.103487i	0.227310	+	0.973823i	$0.427007\pi$
$338$	5.47310	+	4.74247i	0.297697	+	0.257956i
$339$	−1.34027	+	2.93478i	−0.0727935	+	0.159396i
$340$	12.5658	+	0.966015i	0.681474	+	0.0523895i
$341$	7.12189	+	15.5948i	0.385672	+	0.844504i
$342$	13.8748	−	1.99490i	0.750263	−	0.107872i
$343$	10.9000	−	16.9608i	0.588547	−	0.915796i
$344$	3.38671			0.182599
$345$	5.38780	−	4.79937i	0.290069	−	0.258389i
$346$	12.8306			0.689778
$347$	−11.7438	+	18.2737i	−0.630441	+	0.980985i	0.368245	+	0.929729i	$0.379959\pi$
$347$	−11.7438	+	18.2737i	−0.630441	+	0.980985i	−0.998686	+	0.0512563i	$0.983677\pi$
$348$	−5.64730	+	0.811959i	−0.302727	+	0.0435256i
$349$	1.38811	+	3.03954i	0.0743040	+	0.162703i	0.943139	−	0.332399i	$-0.107858\pi$
$349$	1.38811	+	3.03954i	0.0743040	+	0.162703i	−0.868835	+	0.495102i	$0.835131\pi$
$350$	10.6460	−	1.41509i	0.569053	−	0.0756398i
$351$	6.97592	−	15.2751i	0.372347	−	0.815326i
$352$	−2.70391	−	2.34295i	−0.144119	−	0.124880i
$353$	−18.8209	−	2.70604i	−1.00174	−	0.144028i	−0.378118	−	0.925757i	$-0.623429\pi$
$353$	−18.8209	−	2.70604i	−1.00174	−	0.144028i	−0.623618	+	0.781729i	$0.714338\pi$
$354$	−1.24125	+	0.364463i	−0.0659715	+	0.0193710i
$355$	−11.7859	+	15.5706i	−0.625531	+	0.826400i
$356$	−3.67758	+	2.36344i	−0.194911	+	0.125262i
$357$	4.40377	+	6.85240i	0.233072	+	0.362668i
$358$	−14.2615	+	12.3576i	−0.753743	+	0.653122i
$359$	−2.06521	+	0.606402i	−0.108998	+	0.0320047i	−0.335777	−	0.941942i	$-0.608999\pi$
$359$	−2.06521	+	0.606402i	−0.108998	+	0.0320047i	0.226779	+	0.973946i	$0.427181\pi$
$360$	−0.376076	−	5.68347i	−0.0198210	−	0.299545i
$361$	−7.38816	+	8.52639i	−0.388850	+	0.448757i
$362$	2.86744	+	1.30952i	0.150709	+	0.0688267i
$363$	0.341311	−	1.16240i	0.0179142	−	0.0610100i
$364$	4.01447	+	8.79046i	0.210415	+	0.460745i
$365$	4.89596	+	13.3432i	0.256266	+	0.698415i
$366$	3.87151	+	2.48807i	0.202367	+	0.130053i
$367$		−	11.6141i		−	0.606252i	−0.952951	−	0.303126i	$-0.901970\pi$
$367$		−	11.6141i		−	0.606252i	0.952951	−	0.303126i	$-0.0980303\pi$
$368$	4.78926	+	0.251052i	0.249657	+	0.0130870i
$369$	−26.5296			−1.38107
$370$	−6.60611	+	17.4276i	−0.343435	+	0.906019i
$371$	−1.61964	−	11.2648i	−0.0840873	−	0.584840i
$372$	2.93277	−	1.33935i	0.152057	−	0.0694421i
$373$	0.666115	−	2.26858i	0.0344901	−	0.117463i	−0.940449	−	0.339936i	$-0.889595\pi$
$373$	0.666115	−	2.26858i	0.0344901	−	0.117463i	0.974939	+	0.222473i	$0.0714129\pi$
$374$	−8.37683	+	18.3427i	−0.433156	+	0.948478i
$375$	0.656472	−	7.49390i	0.0339001	−	0.386983i
$376$	1.52352	−	10.5963i	0.0785693	−	0.546462i
$377$	10.7482	+	36.6049i	0.553559	+	1.88525i
$378$	6.05886	−	5.25003i	0.311634	−	0.270032i
$379$	−12.2007	+	7.84092i	−0.626708	+	0.402761i	−0.815090	−	0.579335i	$-0.803312\pi$
$379$	−12.2007	+	7.84092i	−0.626708	+	0.402761i	0.188381	+	0.982096i	$0.439676\pi$
$380$	8.65440	+	8.74708i	0.443961	+	0.448716i
$381$	0.933584	+	1.07741i	0.0478289	+	0.0551975i
$382$	0.0398044	+	0.135561i	0.00203657	+	0.00693592i
$383$	16.3972	+	2.35757i	0.837860	+	0.120466i	0.547870	−	0.836564i	$-0.315439\pi$
$383$	16.3972	+	2.35757i	0.837860	+	0.120466i	0.289990	+	0.957030i	$0.406348\pi$
$384$	−0.440618	+	0.508500i	−0.0224852	+	0.0259493i
$385$	−3.74205	+	16.7714i	−0.190713	+	0.854748i
$386$	14.1652	+	4.15927i	0.720989	+	0.211701i
$387$	−7.84733	+	3.58375i	−0.398902	+	0.182172i
$388$	5.33007	−	0.766349i	0.270593	−	0.0389055i
$389$	−13.0419	−	8.38153i	−0.661251	−	0.424960i	0.166511	−	0.986040i	$-0.446750\pi$
$389$	−13.0419	−	8.38153i	−0.661251	−	0.424960i	−0.827762	+	0.561079i	$0.810386\pi$
$390$	6.62187	−	1.40360i	0.335311	−	0.0710743i
$391$	−6.24716	−	26.2983i	−0.315932	−	1.32996i
$392$		−	2.38641i		−	0.120532i
$393$	−2.38794	+	3.71571i	−0.120456	+	0.187433i
$394$	−0.289527	−	2.01371i	−0.0145862	−	0.101449i
$395$	26.3908	−	19.5374i	1.32786	−	0.983035i
$396$	8.74446	+	2.56761i	0.439426	+	0.129027i
$397$	−20.7499	−	9.47616i	−1.04141	−	0.475595i	−0.180084	−	0.983651i	$-0.557637\pi$
$397$	−20.7499	−	9.47616i	−1.04141	−	0.475595i	−0.861324	+	0.508056i	$0.830364\pi$
$398$	−9.26008	−	8.02391i	−0.464166	−	0.402202i
$399$	−1.13181	+	7.87194i	−0.0566616	+	0.394090i
$400$	3.81341	−	3.23387i	0.190671	−	0.161693i
$401$	−15.8763	−	18.3222i	−0.792824	−	0.914967i	0.205141	−	0.978732i	$-0.434235\pi$
$401$	−15.8763	−	18.3222i	−0.792824	−	0.914967i	−0.997965	+	0.0637652i	$0.979689\pi$
$402$	−0.312702	−	0.486573i	−0.0155961	−	0.0242681i
$403$	−11.6556	−	18.1364i	−0.580606	−	0.903441i
$404$	8.38593	+	9.67788i	0.417215	+	0.481492i
$405$	5.44432	+	10.0980i	0.270530	+	0.501775i
$406$	−2.59204	+	18.0280i	−0.128641	+	0.894715i
$407$	−22.5371	−	19.5285i	−1.11712	−	0.967993i
$408$	3.44955	+	1.57536i	0.170778	+	0.0779917i
$409$	8.25387	+	2.42355i	0.408128	+	0.119837i	0.479351	−	0.877623i	$-0.340872\pi$
$409$	8.25387	+	2.42355i	0.408128	+	0.119837i	−0.0712233	+	0.997460i	$0.522690\pi$
$410$	−13.8567	−	18.7173i	−0.684332	−	0.924382i
$411$	−0.605330	−	4.21016i	−0.0298587	−	0.207672i
$412$	7.70414	−	11.9879i	0.379556	−	0.590600i
$413$			4.12974i			0.203211i
$414$	−11.3628	+	4.48618i	−0.558451	+	0.220484i
$415$	−14.4793	+	3.06911i	−0.710762	+	0.150657i
$416$	3.78489	+	2.43240i	0.185569	+	0.119258i
$417$	−7.67189	+	1.10305i	−0.375694	+	0.0540166i
$418$	−17.9090	+	8.17878i	−0.875959	+	0.400037i
$419$	−11.4519	−	3.36258i	−0.559462	−	0.164273i	−0.0102374	−	0.999948i	$-0.503259\pi$
$419$	−11.4519	−	3.36258i	−0.559462	−	0.164273i	−0.549225	+	0.835675i	$0.685077\pi$
$420$	3.15404	+	0.703734i	0.153902	+	0.0343387i
$421$	−4.03795	+	4.66005i	−0.196798	+	0.227117i	−0.845568	−	0.533867i	$-0.820738\pi$
$421$	−4.03795	+	4.66005i	−0.196798	+	0.227117i	0.648770	+	0.760984i	$0.275284\pi$
$422$	−1.16367	−	0.167310i	−0.0566465	−	0.00814454i
$423$	7.68266	+	26.1647i	0.373543	+	1.27217i
$424$	−3.46974	−	4.00429i	−0.168505	−	0.194465i
$425$	−23.5436	−	15.4874i	−1.14203	−	0.751247i
$426$	−4.94330	+	3.17686i	−0.239503	+	0.153920i
$427$	11.1029	−	9.62076i	0.537309	−	0.465581i
$428$	1.10833	+	3.77462i	0.0535730	+	0.182453i
$429$	−1.54136	+	10.7204i	−0.0744174	+	0.517584i
$430$	−6.62717	−	3.66466i	−0.319591	−	0.176726i
$431$	−15.2065	+	33.2976i	−0.732472	+	1.60389i	0.0630819	+	0.998008i	$0.479907\pi$
$431$	−15.2065	+	33.2976i	−0.732472	+	1.60389i	−0.795554	+	0.605882i	$0.792820\pi$
$432$	1.05155	−	3.58125i	0.0505928	−	0.172303i
$433$	−4.22009	+	1.92725i	−0.202804	+	0.0926177i	−0.514228	−	0.857654i	$-0.671921\pi$
$433$	−4.22009	+	1.92725i	−0.202804	+	0.0926177i	0.311424	+	0.950271i	$0.399194\pi$
$434$	−1.46477	−	10.1877i	−0.0703111	−	0.489025i
$435$	11.9293	+	4.52192i	0.571967	+	0.216810i
$436$	9.81674			0.470137
$437$	12.2049	−	23.3993i	0.583838	−	1.11934i
$438$			4.27677i			0.204352i
$439$	11.1991	+	7.19721i	0.534502	+	0.343504i	0.779885	−	0.625922i	$-0.215277\pi$
$439$	11.1991	+	7.19721i	0.534502	+	0.343504i	−0.245383	+	0.969426i	$0.578914\pi$
$440$	2.75581	+	7.51054i	0.131378	+	0.358051i
$441$	2.52525	+	5.52953i	0.120250	+	0.263311i
$442$	7.14409	−	24.3305i	0.339810	−	1.15729i
$443$	−36.2064	−	16.5349i	−1.72022	−	0.785598i	−0.995308	−	0.0967560i	$-0.969153\pi$
$443$	−36.2064	−	16.5349i	−1.72022	−	0.785598i	−0.724911	−	0.688842i	$-0.758119\pi$
$444$	−3.67255	+	4.23835i	−0.174292	+	0.201143i
$445$	9.75375	−	0.645407i	0.462372	−	0.0305952i
$446$	−6.05796	+	1.77878i	−0.286853	+	0.0842276i
$447$	6.74290	−	5.84276i	0.318928	−	0.276353i
$448$	1.16126	+	1.80695i	0.0548642	+	0.0853704i
$449$	15.3063	−	9.83679i	0.722351	−	0.464227i	−0.127103	−	0.991890i	$-0.540568\pi$
$449$	15.3063	−	9.83679i	0.722351	−	0.464227i	0.849454	+	0.527663i	$0.176932\pi$
$450$	−5.41401	+	11.5284i	−0.255219	+	0.543456i
$451$	35.7527	−	10.4979i	1.68353	−	0.494328i
$452$	4.74629	+	0.682414i	0.223247	+	0.0320980i
$453$	8.80083	+	7.62596i	0.413499	+	0.358299i
$454$	5.88472	−	12.8857i	0.276184	−	0.604758i
$455$	1.65633	−	21.5452i	0.0776498	−	1.01006i
$456$	1.53811	+	3.36799i	0.0720286	+	0.157721i
$457$	−35.7105	+	5.13439i	−1.67046	+	0.240177i	−0.911602	−	0.411074i	$-0.865154\pi$
$457$	−35.7105	+	5.13439i	−1.67046	+	0.240177i	−0.758863	+	0.651251i	$0.774245\pi$
$458$	10.7033	−	16.6547i	0.500135	−	0.778225i
$459$	−21.0367			−0.981907
$460$	−9.10003	−	5.67358i	−0.424291	−	0.264532i
$461$	−7.33582			−0.341663			−0.170832	−	0.985300i	$-0.554645\pi$
$461$	−7.33582			−0.341663			−0.170832	+	0.985300i	$0.554645\pi$
$462$	−2.79547	+	4.34984i	−0.130057	+	0.202373i
$463$	31.2533	−	4.49355i	1.45247	−	0.208833i	0.629534	−	0.776973i	$-0.283246\pi$
$463$	31.2533	−	4.49355i	1.45247	−	0.208833i	0.822932	+	0.568140i	$0.192337\pi$
$464$	3.52252	+	7.71324i	0.163529	+	0.358078i
$465$	−7.18816	−	0.552602i	−0.333343	−	0.0256263i
$466$	1.33828	−	2.93043i	0.0619948	−	0.135750i
$467$	4.83467	+	4.18927i	0.223722	+	0.193856i	0.759509	−	0.650497i	$-0.225439\pi$
$467$	4.83467	+	4.18927i	0.223722	+	0.193856i	−0.535787	+	0.844353i	$0.679985\pi$
$468$	−11.3438	−	1.63100i	−0.524370	−	0.0753930i
$469$	−1.77162	+	0.520194i	−0.0818057	+	0.0240203i
$470$	−14.4472	+	19.0864i	−0.666398	+	0.880391i
$471$	1.47504	−	0.947950i	0.0679662	−	0.0436792i
$472$	1.03947	+	1.61745i	0.0478455	+	0.0744491i
$473$	9.15736	−	7.93490i	0.421056	−	0.364847i
$474$	9.48017	−	2.78363i	0.435439	−	0.127856i
$475$	−7.47010	−	26.4811i	−0.342752	−	1.21504i
$476$	7.92779	−	9.14915i	0.363370	−	0.419351i
$477$	12.2770	+	5.60670i	0.562123	+	0.256713i
$478$	−7.15258	+	24.3595i	−0.327151	+	1.11418i
$479$	−7.91448	−	17.3303i	−0.361622	−	0.791842i	−0.999760	−	0.0219195i	$-0.993022\pi$
$479$	−7.91448	−	17.3303i	−0.361622	−	0.791842i	0.638138	−	0.769922i	$-0.279705\pi$
$480$	1.41244	−	0.518260i	0.0644687	−	0.0236552i
$481$	31.5471	+	20.2741i	1.43842	+	0.924419i
$482$			9.01947i			0.410826i
$483$	−0.625901	−	6.90269i	−0.0284795	−	0.314083i
$484$	−1.80053			−0.0818422
$485$	−11.2592	−	4.26791i	−0.511254	−	0.193796i
$486$	2.08482	+	14.5002i	0.0945694	+	0.657744i
$487$	−11.3435	+	5.18039i	−0.514022	+	0.234746i	−0.655500	−	0.755195i	$-0.727542\pi$
$487$	−11.3435	+	5.18039i	−0.514022	+	0.234746i	0.141478	+	0.989941i	$0.454815\pi$
$488$	1.92698	−	6.56270i	0.0872304	−	0.297079i
$489$	0.0533388	−	0.116796i	0.00241206	−	0.00528168i
$490$	−2.58226	+	4.66976i	−0.116655	+	0.210958i
$491$	1.90943	−	13.2804i	0.0861715	−	0.599336i	−0.900284	−	0.435304i	$-0.856641\pi$
$491$	1.90943	−	13.2804i	0.0861715	−	0.599336i	0.986455	−	0.164032i	$-0.0524500\pi$
$492$	−1.97425	−	6.72368i	−0.0890061	−	0.303127i
$493$	36.1187	−	31.2971i	1.62671	−	1.40955i
$494$	20.8279	−	13.3853i	0.937092	−	0.602232i
$495$	−14.3330	−	14.4865i	−0.644219	−	0.651118i
$496$	−3.13797	−	3.62141i	−0.140899	−	0.162606i
$497$	5.28486	+	17.9986i	0.237058	+	0.807346i
$498$	−4.40835	−	0.633826i	−0.197543	−	0.0284024i
$499$	2.03359	−	2.34689i	0.0910360	−	0.105061i	−0.708404	−	0.705807i	$-0.750584\pi$
$499$	2.03359	−	2.34689i	0.0910360	−	0.105061i	0.799440	+	0.600746i	$0.205130\pi$
$500$	−10.9614	+	2.20170i	−0.490209	+	0.0984630i
$501$	−2.71166	−	0.796214i	−0.121148	−	0.0355722i
$502$	11.1514	−	5.09269i	0.497713	−	0.227298i
$503$	29.2657	−	4.20777i	1.30489	−	0.187615i	0.545425	−	0.838160i	$-0.316368\pi$
$503$	29.2657	−	4.20777i	1.30489	−	0.187615i	0.759468	+	0.650544i	$0.225459\pi$
$504$	−4.60282	−	2.95805i	−0.205026	−	0.131762i
$505$	−5.93756	−	28.0120i	−0.264218	−	1.24652i
$506$	13.5379	−	10.5422i	0.601833	−	0.468656i
$507$		−	4.87268i		−	0.216403i
$508$	1.14551	−	1.78245i	0.0508240	−	0.0790836i
$509$	2.13588	+	14.8554i	0.0946713	+	0.658453i	0.980800	+	0.195015i	$0.0624755\pi$
$509$	2.13588	+	14.8554i	0.0946713	+	0.658453i	−0.886129	+	0.463439i	$0.846615\pi$
$510$	−5.04548	−	6.81533i	−0.223418	−	0.301788i
$511$	13.0998	+	3.84644i	0.579500	+	0.170157i
$512$	0.909632	+	0.415415i	0.0402004	+	0.0183589i
$513$	−15.5226	−	13.4504i	−0.685338	−	0.593849i
$514$	−3.48738	+	24.2552i	−0.153822	+	1.06985i
$515$	−28.0473	+	15.1216i	−1.23591	+	0.666339i
$516$	−1.49225	−	1.72214i	−0.0656924	−	0.0758131i
$517$	−20.7071	−	32.2209i	−0.910698	−	1.41707i
$518$	9.67909	+	15.0610i	0.425275	+	0.661741i
$519$	−5.65340	−	6.52437i	−0.248157	−	0.286388i
$520$	−4.77430	−	8.85527i	−0.209367	−	0.388329i
$521$	3.40203	−	23.6616i	0.149045	−	1.03663i	−0.768741	−	0.639560i	$-0.779117\pi$
$521$	3.40203	−	23.6616i	0.149045	−	1.03663i	0.917787	−	0.397074i	$-0.129974\pi$
$522$	−16.3240	−	14.1448i	−0.714482	−	0.619102i
$523$	29.5151	+	13.4791i	1.29060	+	0.589399i	0.938085	−	0.346406i	$-0.112598\pi$
$523$	29.5151	+	13.4791i	1.29060	+	0.589399i	0.352518	+	0.935805i	$0.385325\pi$
$524$	6.29860	+	1.84944i	0.275156	+	0.0807930i
$525$	−5.41039	−	4.78997i	−0.236129	−	0.209052i
$526$	2.42535	+	16.8687i	0.105750	+	0.735510i
$527$	−14.6013	+	22.7201i	−0.636043	+	0.989702i
$528$			2.40728i			0.104763i
$529$	−5.63553	+	22.2989i	−0.245023	+	0.969517i
$530$	2.45671	+	11.5902i	0.106713	+	0.503444i
$531$	−4.12010	−	2.64783i	−0.178797	−	0.114906i
$532$	11.6995	−	1.68214i	0.507239	−	0.0729300i
$533$	−42.6230	+	19.4653i	−1.84621	+	0.843135i
$534$	2.82221	+	0.828676i	0.122129	+	0.0358603i
$535$	1.91561	−	8.58551i	0.0828190	−	0.371184i
$536$	−0.562934	+	0.649660i	−0.0243150	+	0.0280611i
$537$	12.5677	+	1.80697i	0.542337	+	0.0779763i
$538$	−8.11558	−	27.6391i	−0.349887	−	1.19161i
$539$	−5.59124	−	6.45263i	−0.240832	−	0.277935i
$540$	−5.93286	+	5.87000i	−0.255310	+	0.252604i
$541$	−4.61180	+	2.96382i	−0.198277	+	0.127425i	−0.636012	−	0.771679i	$-0.719417\pi$
$541$	−4.61180	+	2.96382i	−0.198277	+	0.127425i	0.437735	+	0.899104i	$0.355781\pi$
$542$	24.2952	−	21.0519i	1.04357	−	0.904257i
$543$	−0.597556	−	2.03509i	−0.0256436	−	0.0873341i
$544$	0.802110	−	5.57880i	0.0343902	−	0.239189i
$545$	−19.2095	−	10.6224i	−0.822846	−	0.455014i
$546$	2.70110	−	5.91458i	0.115596	−	0.253121i
$547$	−2.66577	+	9.07877i	−0.113980	+	0.388180i	−0.996647	−	0.0818182i	$-0.973927\pi$
$547$	−2.66577	+	9.07877i	−0.113980	+	0.388180i	0.882667	+	0.469998i	$0.155746\pi$
$548$	−5.75036	+	2.62610i	−0.245643	+	0.112181i
$549$	2.47952	+	17.2455i	0.105824	+	0.736019i
$550$	2.73432	−	17.6787i	0.116592	−	0.753823i
$551$	46.6620			1.98787
$552$	−1.98257	−	2.54595i	−0.0843838	−	0.108363i
$553$		−	31.5414i		−	1.34128i
$554$	4.74895	+	3.05196i	0.201763	+	0.129666i
$555$	11.7727	−	4.31971i	0.499723	−	0.183361i
$556$	4.78536	+	10.4785i	0.202945	+	0.444386i
$557$	2.65307	−	9.03551i	0.112414	−	0.382847i	−0.883997	−	0.467492i	$-0.845158\pi$
$557$	2.65307	−	9.03551i	0.112414	−	0.382847i	0.996411	+	0.0846454i	$0.0269758\pi$
$558$	11.1031	+	5.07059i	0.470030	+	0.214655i
$559$	−9.97823	+	11.5155i	−0.422034	+	0.487053i
$560$	−0.317116	−	4.79243i	−0.0134006	−	0.202517i
$561$	13.0182	−	3.82250i	0.549630	−	0.161386i
$562$	−8.31096	+	7.20149i	−0.350577	+	0.303777i
$563$	20.3569	+	31.6759i	0.857939	+	1.33498i	0.940990	+	0.338434i	$0.109897\pi$
$563$	20.3569	+	31.6759i	0.857939	+	1.33498i	−0.0830510	+	0.996545i	$0.526466\pi$
$564$	−6.05950	+	3.89420i	−0.255151	+	0.163976i
$565$	−8.54919	−	6.47118i	−0.359667	−	0.272245i
$566$	4.98710	−	1.46435i	0.209624	−	0.0615511i
$567$	10.9078	+	1.56830i	0.458084	+	0.0658626i
$568$	6.60016	+	5.71907i	0.276937	+	0.239967i
$569$	13.1920	−	28.8864i	0.553037	−	1.21098i	−0.402313	−	0.915502i	$-0.631794\pi$
$569$	13.1920	−	28.8864i	0.553037	−	1.21098i	0.955349	−	0.295479i	$-0.0954792\pi$
$570$	0.634608	−	8.25488i	0.0265808	−	0.345759i
$571$	−9.00512	−	19.7185i	−0.376853	−	0.825192i	−0.999102	−	0.0423730i	$-0.986508\pi$
$571$	−9.00512	−	19.7185i	−0.376853	−	0.825192i	0.622249	−	0.782819i	$-0.286219\pi$
$572$	15.9330	−	2.29082i	0.666191	−	0.0957838i
$573$	0.0513944	−	0.0799712i	0.00214703	−	0.00334085i
$574$	−22.3703			−0.933719
$575$	11.6679	+	20.9490i	0.486583	+	0.873634i
$576$	−2.54728			−0.106137
$577$	−12.5493	+	19.5270i	−0.522433	+	0.812921i	−0.997761	−	0.0668874i	$-0.978693\pi$
$577$	−12.5493	+	19.5270i	−0.522433	+	0.812921i	0.475328	+	0.879809i	$0.342330\pi$
$578$	−14.6160	+	2.10147i	−0.607947	+	0.0874096i
$579$	−4.12644	−	9.03564i	−0.171489	−	0.375508i
$580$	1.45335	−	18.9050i	0.0603473	−	0.784987i
$581$	−5.90620	+	12.9328i	−0.245031	+	0.536542i
$582$	−2.73821	−	2.37267i	−0.113503	−	0.0983505i
$583$	−18.7637	−	2.69781i	−0.777113	−	0.111732i
$584$	6.09880	−	1.79077i	0.252370	−	0.0741026i
$585$	20.4330	+	15.4664i	0.844799	+	0.639457i
$586$	8.73347	−	5.61266i	0.360776	−	0.231857i
$587$	−9.48409	−	14.7575i	−0.391450	−	0.609109i	0.588465	−	0.808523i	$-0.299732\pi$
$587$	−9.48409	−	14.7575i	−0.391450	−	0.609109i	−0.979915	+	0.199414i	$0.936096\pi$
$588$	−1.21349	+	1.05149i	−0.0500434	+	0.0433629i
$589$	−25.3008	+	7.42897i	−1.04250	+	0.306105i
$590$	−0.283858	−	4.28982i	−0.0116863	−	0.176609i
$591$	−0.896398	+	1.03450i	−0.0368729	+	0.0425536i
$592$	7.58180	+	3.46249i	0.311610	+	0.142307i
$593$	−8.88549	+	30.2612i	−0.364883	+	1.24268i	0.548698	+	0.836021i	$0.315124\pi$
$593$	−8.88549	+	30.2612i	−0.364883	+	1.24268i	−0.913581	+	0.406657i	$0.866694\pi$
$594$	−5.54740	−	12.1471i	−0.227613	−	0.498402i
$595$	−25.4132	+	9.32477i	−1.04184	+	0.382278i
$596$	−11.1553	−	7.16911i	−0.456941	−	0.293658i
$597$			8.24422i			0.337414i
$598$	−14.9642	+	15.5447i	−0.611930	+	0.635672i
$599$	27.0065			1.10345			0.551727	−	0.834025i	$-0.313969\pi$
$599$	27.0065			1.10345			0.551727	+	0.834025i	$0.313969\pi$
$600$	−3.32468	−	0.514220i	−0.135729	−	0.0209929i
$601$	1.94657	+	13.5387i	0.0794022	+	0.552254i	0.990227	+	0.139462i	$0.0445373\pi$
$601$	1.94657	+	13.5387i	0.0794022	+	0.552254i	−0.910825	+	0.412792i	$0.864554\pi$
$602$	−6.61704	+	3.02190i	−0.269690	+	0.123163i
$603$	0.616912	−	2.10101i	0.0251226	−	0.0855597i
$604$	7.18977	−	15.7434i	0.292547	−	0.640590i
$605$	3.52330	+	1.94830i	0.143243	+	0.0792096i
$606$	1.22621	−	8.52848i	0.0498114	−	0.346446i
$607$	−0.196632	−	0.669666i	−0.00798103	−	0.0271809i	0.955406	−	0.295295i	$-0.0954178\pi$
$607$	−0.196632	−	0.669666i	−0.00798103	−	0.0271809i	−0.963387	+	0.268114i	$0.913600\pi$
$608$	4.15882	−	3.60364i	0.168663	−	0.146147i
$609$	10.3093	−	6.62540i	0.417755	−	0.268475i
$610$	−10.8721	+	10.7569i	−0.440197	+	0.435532i
$611$	31.5407	+	36.4000i	1.27600	+	1.47258i
$612$	4.04481	+	13.7754i	0.163502	+	0.556836i
$613$	−38.6183	−	5.55248i	−1.55978	−	0.224262i	−0.692254	−	0.721654i	$-0.743382\pi$
$613$	−38.6183	−	5.55248i	−1.55978	−	0.224262i	−0.867526	+	0.497392i	$0.834291\pi$
$614$	−0.622585	+	0.718502i	−0.0251255	+	0.0289964i
$615$	−3.41226	+	15.2933i	−0.137595	+	0.616684i
$616$	7.37353	+	2.16506i	0.297088	+	0.0872329i
$617$	17.4707	−	7.97858i	0.703342	−	0.321206i	−0.0314429	−	0.999506i	$-0.510010\pi$
$617$	17.4707	−	7.97858i	0.703342	−	0.321206i	0.734785	+	0.678300i	$0.237283\pi$
$618$	−9.49041	+	1.36452i	−0.381760	+	0.0548888i
$619$	−12.2502	−	7.87271i	−0.492376	−	0.316431i	0.270784	−	0.962640i	$-0.412717\pi$
$619$	−12.2502	−	7.87271i	−0.492376	−	0.316431i	−0.763160	+	0.646209i	$0.776353\pi$
$620$	2.22180	+	10.4819i	0.0892297	+	0.420964i
$621$	15.8710	+	8.27816i	0.636881	+	0.332191i
$622$		−	4.14003i		−	0.166000i
$623$	5.07649	−	7.89917i	0.203385	−	0.316474i
$624$	−0.430813	−	2.99637i	−0.0172463	−	0.119951i
$625$	23.8318	+	7.55270i	0.953274	+	0.302108i
$626$	9.10353	+	2.67304i	0.363850	+	0.106836i
$627$	12.0499	+	5.50302i	0.481228	+	0.219770i
$628$	−1.96943	−	1.70652i	−0.0785890	−	0.0680978i
$629$	6.68560	−	46.4993i	0.266572	−	1.85405i
$630$	5.80604	+	10.7689i	0.231318	+	0.429045i
$631$	24.8801	+	28.7132i	0.990463	+	1.14306i	0.989715	+	0.143056i	$0.0456928\pi$
$631$	24.8801	+	28.7132i	0.990463	+	1.14306i	0.000748389		1.00000i	$0.499762\pi$
$632$	−7.93909	−	12.3535i	−0.315800	−	0.491394i
$633$	0.427656	+	0.665445i	0.0169978	+	0.0264491i
$634$	−9.31852	−	10.7541i	−0.370086	−	0.427102i
$635$	−4.17030	+	2.24841i	−0.165493	+	0.0892253i
$636$	−0.507353	+	3.52872i	−0.0201179	+	0.139923i
$637$	8.11426	+	7.03105i	0.321499	+	0.278580i
$638$	27.5963	+	12.6028i	1.09255	+	0.498950i
$639$	−21.3450	−	6.26746i	−0.844395	−	0.247937i
$640$	−1.33047	−	1.79718i	−0.0525916	−	0.0710396i
$641$	−4.44860	−	30.9407i	−0.175709	−	1.22208i	−0.866555	−	0.499082i	$-0.833671\pi$
$641$	−4.44860	−	30.9407i	−0.175709	−	1.22208i	0.690845	−	0.723002i	$-0.257238\pi$
$642$	1.43104	−	2.22675i	0.0564787	−	0.0878826i
$643$			16.3114i			0.643260i	0.946865	+	0.321630i	$0.104231\pi$
$643$			16.3114i			0.643260i	−0.946865	+	0.321630i	$0.895769\pi$
$644$	−9.58137	+	3.78285i	−0.377559	+	0.149065i
$645$	1.05657	+	4.98463i	0.0416023	+	0.196270i
$646$	−26.0917	−	16.7681i	−1.02657	−	0.659734i
$647$	24.3191	−	3.49656i	0.956084	−	0.137464i	0.353425	−	0.935463i	$-0.385017\pi$
$647$	24.3191	−	3.49656i	0.956084	−	0.137464i	0.602659	+	0.797999i	$0.294108\pi$
$648$	4.66688	−	2.13129i	0.183332	−	0.0837250i
$649$	6.60023	+	1.93800i	0.259082	+	0.0760732i
$650$	−0.239618	+	22.4942i	−0.00939860	+	0.882297i
$651$	−4.53503	+	5.23371i	−0.177742	+	0.205125i
$652$	−0.188888	−	0.0271580i	−0.00739744	−	0.00106359i
$653$	7.71063	+	26.2600i	0.301740	+	1.02763i	0.961191	+	0.275885i	$0.0889709\pi$
$653$	7.71063	+	26.2600i	0.301740	+	1.02763i	−0.659450	+	0.751748i	$0.729211\pi$
$654$	−4.32543	−	4.99181i	−0.169138	−	0.195195i
$655$	−10.3240	−	10.4345i	−0.403391	−	0.407711i
$656$	−8.76152	+	5.63069i	−0.342080	+	0.219841i
$657$	−12.2365	+	10.6030i	−0.477392	+	0.413663i
$658$	6.47819	+	22.0627i	0.252546	+	0.860093i
$659$	−2.08830	+	14.5244i	−0.0813486	+	0.565792i	0.907859	+	0.419275i	$0.137716\pi$
$659$	−2.08830	+	14.5244i	−0.0813486	+	0.565792i	−0.989208	+	0.146517i	$0.953194\pi$
$660$	2.60485	−	4.71060i	0.101394	−	0.183360i
$661$	13.4754	−	29.5070i	0.524133	−	1.14769i	−0.443718	−	0.896166i	$-0.646341\pi$
$661$	13.4754	−	29.5070i	0.524133	−	1.14769i	0.967851	−	0.251525i	$-0.0809319\pi$
$662$	2.50158	−	8.51959i	0.0972266	−	0.331123i
$663$	−15.5199	+	7.08769i	−0.602742	+	0.275263i
$664$	0.942013	+	6.55185i	0.0365572	+	0.254261i
$665$	−24.7140	−	9.36809i	−0.958369	−	0.363279i
$666$	−21.2317			−0.822710
$667$	−39.5653	+	9.39875i	−1.53198	+	0.363921i
$668$			4.20030i			0.162514i
$669$	3.57375	+	2.29671i	0.138169	+	0.0887960i
$670$	1.80454	−	0.662131i	0.0697153	−	0.0255803i
$671$	−10.1657	−	22.2598i	−0.392442	−	0.859328i
$672$	0.407164	−	1.38667i	0.0157067	−	0.0534921i
$673$	15.7371	+	7.18690i	0.606621	+	0.277035i	0.694951	−	0.719057i	$-0.255426\pi$
$673$	15.7371	+	7.18690i	0.606621	+	0.277035i	−0.0883303	+	0.996091i	$0.528153\pi$
$674$	−8.74179	+	10.0886i	−0.336721	+	0.388597i
$675$	17.9613	−	5.06672i	0.691329	−	0.195018i
$676$	−6.94860	+	2.04029i	−0.267254	+	0.0784728i
$677$	1.93111	−	1.67332i	0.0742186	−	0.0643108i	−0.616961	−	0.786993i	$-0.711637\pi$
$677$	1.93111	−	1.67332i	0.0742186	−	0.0643108i	0.691180	+	0.722683i	$0.257091\pi$
$678$	−1.74429	−	2.71417i	−0.0669891	−	0.104237i
$679$	−9.73022	+	6.25323i	−0.373412	+	0.239977i
$680$	−7.60623	+	10.0487i	−0.291686	+	0.385351i
$681$	−9.14531	+	2.68530i	−0.350449	+	0.102901i
$682$	−16.9695	−	2.43985i	−0.649797	−	0.0934267i
$683$	26.9619	+	23.3626i	1.03167	+	0.893946i	0.994434	−	0.105360i	$-0.0335996\pi$
$683$	26.9619	+	23.3626i	1.03167	+	0.893946i	0.0372347	+	0.999307i	$0.488145\pi$
$684$	−5.82307	+	12.7507i	−0.222651	+	0.487537i
$685$	14.0940	+	1.08350i	0.538504	+	0.0413985i
$686$	8.37532	+	18.3394i	0.319771	+	0.700201i
$687$	−13.1850	+	1.89572i	−0.503040	+	0.0723262i
$688$	−1.83100	+	2.84909i	−0.0698061	+	0.108620i
$689$	23.8382			0.908164
$690$	1.12462	+	7.12724i	0.0428136	+	0.271329i
$691$	−5.18589			−0.197281			−0.0986404	−	0.995123i	$-0.531449\pi$
$691$	−5.18589			−0.197281			−0.0986404	+	0.995123i	$0.531449\pi$
$692$	−6.93676	+	10.7938i	−0.263696	+	0.410319i
$693$	−19.3762	+	2.78587i	−0.736039	+	0.105826i
$694$	−9.02366	−	19.7590i	−0.342533	−	0.750043i
$695$	1.97439	−	25.6825i	0.0748929	−	0.974194i
$696$	2.37010	−	5.18979i	0.0898383	−	0.196718i
$697$	44.3623	+	38.4401i	1.68034	+	1.45602i
$698$	−3.30750	−	0.475546i	−0.125191	−	0.0179997i
$699$	−2.07980	+	0.610684i	−0.0786652	+	0.0230982i
$700$	−4.56521	+	9.72104i	−0.172549	+	0.367421i
$701$	−16.0200	+	10.2954i	−0.605067	+	0.388853i	−0.807004	−	0.590545i	$-0.798913\pi$
$701$	−16.0200	+	10.2954i	−0.605067	+	0.388853i	0.201937	+	0.979398i	$0.435276\pi$
$702$	9.07879	+	14.1269i	0.342657	+	0.533185i
$703$	34.6638	−	30.0364i	1.30737	−	1.13284i
$704$	3.43286	−	1.00798i	0.129381	−	0.0379896i
$705$	16.0711	−	1.06343i	0.605273	−	0.0400510i
$706$	12.4518	−	14.3702i	0.468630	−	0.540828i
$707$	−25.0200	−	11.4263i	−0.940974	−	0.429728i
$708$	0.364463	−	1.24125i	0.0136973	−	0.0466489i
$709$	17.7445	+	38.8550i	0.666409	+	1.45923i	0.876427	+	0.481535i	$0.159920\pi$
$709$	17.7445	+	38.8550i	0.666409	+	1.45923i	−0.210018	+	0.977697i	$0.567352\pi$
$710$	−6.72685	−	18.3330i	−0.252454	−	0.688026i
$711$	31.4678	+	20.2231i	1.18013	+	0.758426i
$712$		−	4.37155i		−	0.163831i
$713$	19.9565	−	11.3952i	0.747376	−	0.426755i
$714$	−8.14546			−0.304836
$715$	−33.6567	−	12.7579i	−1.25869	−	0.477119i
$716$	−2.68557	−	18.6786i	−0.100365	−	0.698051i
$717$	15.5383	−	7.09612i	0.580289	−	0.265009i
$718$	0.606402	−	2.06521i	0.0226307	−	0.0770731i
$719$	−13.0242	+	28.5190i	−0.485720	+	1.06358i	0.495131	+	0.868819i	$0.335120\pi$
$719$	−13.0242	+	28.5190i	−0.485720	+	1.06358i	−0.980851	+	0.194760i	$0.937607\pi$
$720$	4.98456	+	2.75634i	0.185764	+	0.102723i
$721$	−4.35597	+	30.2964i	−0.162225	+	1.12830i
$722$	−3.17851	−	10.8250i	−0.118292	−	0.402866i
$723$	4.58640	−	3.97414i	0.170570	−	0.147800i
$724$	−2.65189	+	1.70427i	−0.0985568	+	0.0633386i
$725$	−23.3005	+	35.4209i	−0.865358	+	1.31550i
$726$	0.793345	+	0.915568i	0.0294438	+	0.0339799i
$727$	10.0017	+	34.0626i	0.370942	+	1.26331i	0.907716	+	0.419585i	$0.137824\pi$
$727$	10.0017	+	34.0626i	0.370942	+	1.26331i	−0.536775	+	0.843726i	$0.680357\pi$
$728$	−9.56539	−	1.37529i	−0.354517	−	0.0509718i
$729$	−3.62455	+	4.18295i	−0.134242	+	0.154924i
$730$	−13.8720	−	3.09513i	−0.513424	−	0.114556i
$731$	18.3149	+	5.37773i	0.677400	+	0.198903i
$732$	−4.18619	+	1.91177i	−0.154726	+	0.0706611i
$733$	−32.1240	+	4.61874i	−1.18653	+	0.170597i	−0.707184	−	0.707030i	$-0.750035\pi$
$733$	−32.1240	+	4.61874i	−1.18653	+	0.170597i	−0.479344	+	0.877627i	$0.659126\pi$
$734$	9.77041	+	6.27906i	0.360632	+	0.231764i
$735$	3.51236	−	0.744498i	0.129555	−	0.0274612i
$736$	−2.80047	+	3.89325i	−0.103227	+	0.143507i
$737$			3.07555i			0.113289i
$738$	14.3430	−	22.3181i	0.527972	−	0.821540i
$739$	1.23645	+	8.59969i	0.0454835	+	0.316345i	0.999844	+	0.0176862i	$0.00563000\pi$
$739$	1.23645	+	8.59969i	0.0454835	+	0.316345i	−0.954360	+	0.298658i	$0.903461\pi$
$740$	−11.0895	−	14.9795i	−0.407659	−	0.550657i
$741$	−15.9835	−	4.69319i	−0.587170	−	0.172409i
$742$	10.3522	+	4.72769i	0.380041	+	0.173559i
$743$	−13.4558	−	11.6596i	−0.493647	−	0.427748i	0.372128	−	0.928182i	$-0.378628\pi$
$743$	−13.4558	−	11.6596i	−0.493647	−	0.427748i	−0.865775	+	0.500434i	$0.833174\pi$
$744$	−0.458841	+	3.19131i	−0.0168219	+	0.116999i
$745$	14.0715	+	26.0995i	0.515539	+	0.956211i
$746$	1.54832	+	1.78686i	0.0566881	+	0.0654216i
$747$	−9.11576	−	14.1844i	−0.333528	−	0.518980i
$748$	−10.9020	−	16.9638i	−0.398617	−	0.620260i
$749$	−5.53349	−	6.38599i	−0.202189	−	0.233339i
$750$	5.94935	+	4.60377i	0.217240	+	0.168106i
$751$	−1.15010	+	7.99912i	−0.0419678	+	0.291892i	0.958019	+	0.286705i	$0.0925601\pi$
$751$	−1.15010	+	7.99912i	−0.0419678	+	0.291892i	−0.999987	+	0.00518675i	$0.998349\pi$
$752$	8.09049	+	7.01045i	0.295030	+	0.255645i
$753$	−7.50315	−	3.42657i	−0.273430	−	0.124871i
$754$	−36.6049	−	10.7482i	−1.33307	−	0.391425i
$755$	−31.1045	+	23.0271i	−1.13201	+	0.838041i
$756$	1.14094	+	7.93541i	0.0414956	+	0.288608i
$757$	5.46238	−	8.49962i	0.198533	−	0.308924i	−0.727685	−	0.685912i	$-0.759404\pi$
$757$	5.46238	−	8.49962i	0.198533	−	0.308924i	0.926218	+	0.376988i	$0.123040\pi$
$758$		−	14.5030i		−	0.526773i
$759$	−11.3257	−	2.23896i	−0.411098	−	0.0812692i
$760$	−12.0374	+	2.55152i	−0.436644	+	0.0925532i
$761$	−4.92933	−	3.16789i	−0.178688	−	0.114836i	0.448239	−	0.893914i	$-0.352051\pi$
$761$	−4.92933	−	3.16789i	−0.178688	−	0.114836i	−0.626927	+	0.779078i	$0.715688\pi$
$762$	−1.41111	+	0.202887i	−0.0511192	+	0.00734982i
$763$	−19.1802	+	8.75929i	−0.694369	+	0.317108i
$764$	−0.135561	−	0.0398044i	−0.00490444	−	0.00144007i
$765$	6.99096	−	31.3326i	0.252759	−	1.13283i
$766$	−10.8483	+	12.5196i	−0.391966	+	0.452353i
$767$	−8.56222	−	1.23106i	−0.309164	−	0.0444510i
$768$	−0.189561	−	0.645587i	−0.00684021	−	0.0232956i
$769$	−16.8713	−	19.4705i	−0.608394	−	0.702124i	0.365066	−	0.930982i	$-0.381047\pi$
$769$	−16.8713	−	19.4705i	−0.608394	−	0.702124i	−0.973460	+	0.228857i	$0.926501\pi$
$770$	−12.0859	−	12.2153i	−0.435545	−	0.440209i
$771$	13.8704	−	8.91395i	0.499530	−	0.321028i
$772$	−11.1573	+	9.66784i	−0.401559	+	0.347953i
$773$	−9.97008	−	33.9550i	−0.358599	−	1.22128i	−0.919400	−	0.393325i	$-0.871325\pi$
$773$	−9.97008	−	33.9550i	−0.358599	−	1.22128i	0.560801	−	0.827951i	$-0.310493\pi$
$774$	1.22774	−	8.53911i	0.0441302	−	0.306932i
$775$	6.99453	−	22.9153i	0.251251	−	0.823142i
$776$	−2.23696	+	4.89826i	−0.0803022	+	0.175837i
$777$	3.39372	−	11.5579i	0.121749	−	0.414639i
$778$	14.1020	−	6.44016i	0.505580	−	0.230891i
$779$	8.15634	+	56.7286i	0.292231	+	2.03251i
$780$	−2.39926	+	6.32952i	−0.0859075	+	0.226633i
$781$	31.2457			1.11806
$782$	25.5010	+	8.96247i	0.911913	+	0.320497i
$783$			31.6493i			1.13105i
$784$	2.00758	+	1.29019i	0.0716991	+	0.0460782i
$785$	2.00724	+	5.47042i	0.0716414	+	0.195248i
$786$	−1.83484	−	4.01773i	−0.0654464	−	0.143308i
$787$	0.938143	−	3.19502i	0.0334412	−	0.113890i	−0.941081	−	0.338181i	$-0.890188\pi$
$787$	0.938143	−	3.19502i	0.0334412	−	0.113890i	0.974522	+	0.224291i	$0.0720066\pi$
$788$	1.85057	+	0.845126i	0.0659237	+	0.0301064i
$789$	7.50907	−	8.66593i	0.267330	−	0.308515i
$790$	2.16800	+	32.7641i	0.0771341	+	1.16569i
$791$	−9.88232	+	2.90171i	−0.351375	+	0.103173i
$792$	−6.88762	+	5.96816i	−0.244741	+	0.212069i
$793$	16.6370	+	25.8877i	0.590798	+	0.919300i
$794$	19.1901	−	12.3327i	0.681031	−	0.437672i
$795$	4.81112	−	6.35606i	0.170633	−	0.225426i
$796$	11.7565	−	3.45202i	0.416699	−	0.122354i
$797$	−23.7722	−	3.41793i	−0.842056	−	0.121069i	−0.292230	−	0.956348i	$-0.594397\pi$
$797$	−23.7722	−	3.41793i	−0.842056	−	0.121069i	−0.549827	+	0.835279i	$0.685306\pi$
$798$	−6.01039	−	5.20803i	−0.212766	−	0.184362i
$799$	25.0647	−	54.8841i	0.886726	−	1.94166i
$800$	0.658817	+	4.95641i	0.0232927	+	0.175235i
$801$	4.62588	+	10.1293i	0.163448	+	0.357900i
$802$	23.9970	−	3.45025i	0.847363	−	0.121832i
$803$	12.2949	−	19.1313i	0.433878	−	0.675127i
$804$	0.578391			0.0203983
$805$	22.8423	+	2.96538i	0.805084	+	0.104516i
$806$	21.5588			0.759378
$807$	−10.4786	+	16.3051i	−0.368865	+	0.573965i
$808$	−12.6753	+	1.82244i	−0.445916	+	0.0641131i
$809$	−2.42142	−	5.30216i	−0.0851325	−	0.186414i	0.862278	−	0.506436i	$-0.169037\pi$
$809$	−2.42142	−	5.30216i	−0.0851325	−	0.186414i	−0.947410	+	0.320021i	$0.896310\pi$
$810$	−11.4384	−	0.879348i	−0.401905	−	0.0308972i
$811$	−11.1709	+	24.4608i	−0.392262	+	0.858935i	0.605734	+	0.795667i	$0.292879\pi$
$811$	−11.1709	+	24.4608i	−0.392262	+	0.858935i	−0.997997	+	0.0632676i	$0.979848\pi$
$812$	−13.7648	−	11.9272i	−0.483048	−	0.418564i
$813$	−21.4098	−	3.07826i	−0.750874	−	0.107959i
$814$	28.6129	−	8.40151i	1.00288	−	0.294473i
$815$	0.340233	+	0.257534i	0.0119178	+	0.00902102i
$816$	−3.19024	+	2.05024i	−0.111681	+	0.0717728i
$817$	10.0758	+	15.6783i	0.352508	+	0.548513i
$818$	−6.50120	+	5.63332i	−0.227309	+	0.196965i
$819$	23.6192	−	6.93522i	0.825321	−	0.242336i
$820$	23.2375	−	1.53763i	0.811488	−	0.0536963i
$821$	20.3274	−	23.4591i	0.709432	−	0.818728i	−0.280563	−	0.959836i	$-0.590521\pi$
$821$	20.3274	−	23.4591i	0.709432	−	0.818728i	0.989994	+	0.141108i	$0.0450665\pi$
$822$	3.86908	+	1.76695i	0.134950	+	0.0616294i
$823$	−12.2434	+	41.6971i	−0.426777	+	1.45347i	0.413096	+	0.910687i	$0.364447\pi$
$823$	−12.2434	+	41.6971i	−0.426777	+	1.45347i	−0.839874	+	0.542782i	$0.817371\pi$
$824$	5.91967	+	12.9623i	0.206222	+	0.451562i
$825$	−10.1944	+	6.39915i	−0.354924	+	0.222790i
$826$	−3.47416	−	2.23271i	−0.120881	−	0.0776858i
$827$		−	18.6806i		−	0.649590i	−0.945785	−	0.324795i	$-0.894705\pi$
$827$		−	18.6806i		−	0.649590i	0.945785	−	0.324795i	$-0.105295\pi$
$828$	2.36918	−	11.9844i	0.0823345	−	0.416487i
$829$	9.03092			0.313657			0.156828	−	0.987626i	$-0.449873\pi$
$829$	9.03092			0.313657			0.156828	+	0.987626i	$0.449873\pi$
$830$	5.24621	−	13.8401i	0.182099	−	0.480396i
$831$	−0.540547	−	3.75959i	−0.0187514	−	0.130419i
$832$	−4.09253	+	1.86900i	−0.141883	+	0.0647958i
$833$	3.78936	−	12.9054i	0.131293	−	0.447145i
$834$	3.21979	−	7.05036i	0.111492	−	0.244134i
$835$	4.54502	−	8.21920i	0.157287	−	0.284437i
$836$	2.80193	−	19.4878i	0.0969066	−	0.674000i
$837$	−5.03883	−	17.1607i	−0.174167	−	0.593160i
$838$	9.02015	−	7.81601i	0.311596	−	0.269999i
$839$	−18.0277	+	11.5857i	−0.622385	+	0.399983i	−0.813483	−	0.581588i	$-0.802432\pi$
$839$	−18.0277	+	11.5857i	−0.622385	+	0.399983i	0.191098	+	0.981571i	$0.438795\pi$
$840$	−2.29722	+	2.27288i	−0.0792617	+	0.0784219i
$841$	−28.0950	−	32.4233i	−0.968793	−	1.11805i
$842$	−1.73720	−	5.91636i	−0.0598678	−	0.203891i
$843$	7.32391	+	1.05302i	0.252249	+	0.0362679i
$844$	0.769877	−	0.888486i	0.0265003	−	0.0305829i
$845$	15.8049	+	3.52640i	0.543704	+	0.121312i
$846$	−26.1647	−	7.68266i	−0.899562	−	0.264135i
$847$	3.51791	−	1.60658i	0.120877	−	0.0552027i
$848$	5.24450	−	0.754046i	0.180097	−	0.0258940i
$849$	−2.94203	−	1.89072i	−0.100970	−	0.0648895i
$850$	25.7574	−	11.4330i	0.883472	−	0.392149i
$851$	−23.3419	+	32.4503i	−0.800151	+	1.11238i
$852$		−	5.87611i		−	0.201312i
$853$	30.2776	−	47.1128i	1.03668	−	1.61311i	0.279230	−	0.960224i	$-0.409921\pi$
$853$	30.2776	−	47.1128i	1.03668	−	1.61311i	0.757455	−	0.652888i	$-0.226443\pi$
$854$	2.09079	+	14.5418i	0.0715454	+	0.497609i
$855$	25.1919	−	18.6499i	0.861544	−	0.637812i
$856$	−3.77462	−	1.10833i	−0.129014	−	0.0378818i
$857$	−28.9414	−	13.2171i	−0.988618	−	0.451487i	−0.145583	−	0.989346i	$-0.546506\pi$
$857$	−28.9414	−	13.2171i	−0.988618	−	0.451487i	−0.843035	+	0.537859i	$0.819233\pi$
$858$	−8.18523	−	7.09254i	−0.279439	−	0.242135i
$859$	0.267029	−	1.85723i	0.00911090	−	0.0633677i	−0.984759	−	0.173926i	$-0.944355\pi$
$859$	0.267029	−	1.85723i	0.00911090	−	0.0633677i	0.993870	+	0.110558i	$0.0352638\pi$
$860$	6.66583	−	3.59386i	0.227303	−	0.122550i
$861$	9.85675	+	11.3753i	0.335917	+	0.387669i
$862$	−19.7905	−	30.7946i	−0.674067	−	1.04887i
$863$	−19.3769	−	30.1510i	−0.659597	−	1.02635i	−0.996400	−	0.0847780i	$-0.972982\pi$
$863$	−19.3769	−	30.1510i	−0.659597	−	1.02635i	0.336803	−	0.941575i	$-0.390654\pi$
$864$	2.44423	+	2.82079i	0.0831544	+	0.0959653i
$865$	25.2536	−	13.6154i	0.858648	−	0.462938i
$866$	0.660246	−	4.59211i	0.0224361	−	0.156046i
$867$	7.50868	+	6.50631i	0.255008	+	0.220966i
$868$	9.36234	+	4.27564i	0.317779	+	0.145125i
$869$	−50.4101	−	14.8017i	−1.71004	−	0.502115i
$870$	−10.2536	+	7.59084i	−0.347628	+	0.257354i
$871$	−0.550408	−	3.82817i	−0.0186499	−	0.129713i
$872$	−5.30733	+	8.25837i	−0.179729	+	0.279664i
$873$		−	13.7168i		−	0.464244i
$874$	13.0863	+	22.9180i	0.442651	+	0.775213i
$875$	19.4521	−	14.0824i	0.657602	−	0.476072i
$876$	−3.59784	−	2.31219i	−0.121560	−	0.0781218i
$877$	5.37700	−	0.773096i	0.181568	−	0.0261056i	−0.0509308	−	0.998702i	$-0.516219\pi$
$877$	5.37700	−	0.773096i	0.181568	−	0.0261056i	0.232499	+	0.972597i	$0.425310\pi$
$878$	−12.1093	+	5.53015i	−0.408671	+	0.186634i
$879$	−6.70216	−	1.96793i	−0.226058	−	0.0663767i
$880$	−7.80817	−	1.74217i	−0.263213	−	0.0587285i
$881$	15.7210	−	18.1430i	0.529655	−	0.611254i	−0.426367	−	0.904550i	$-0.640207\pi$
$881$	15.7210	−	18.1430i	0.529655	−	0.611254i	0.956022	+	0.293296i	$0.0947522\pi$
$882$	−6.01699	−	0.865113i	−0.202603	−	0.0291299i
$883$	−14.1070	−	48.0442i	−0.474740	−	1.61681i	−0.754191	−	0.656655i	$-0.771971\pi$
$883$	−14.1070	−	48.0442i	−0.474740	−	1.61681i	0.279452	−	0.960160i	$-0.409847\pi$
$884$	16.6058	+	19.1641i	0.558512	+	0.644557i
$885$	−2.05630	+	2.03451i	−0.0691218	+	0.0683894i
$886$	33.4847	−	21.5193i	1.12494	−	0.722956i
$887$	0.904125	−	0.783429i	0.0303576	−	0.0263050i	−0.639550	−	0.768750i	$-0.720879\pi$
$887$	0.904125	−	0.783429i	0.0303576	−	0.0263050i	0.669907	+	0.742445i	$0.266334\pi$
$888$	−1.58000	−	5.38098i	−0.0530212	−	0.180574i
$889$	−0.647681	+	4.50472i	−0.0217225	+	0.151083i
$890$	−4.73032	+	8.55431i	−0.158561	+	0.286741i
$891$	7.62529	−	16.6971i	0.255457	−	0.559373i
$892$	1.77878	−	6.05796i	0.0595579	−	0.202836i
$893$	53.5865	−	24.4721i	1.79320	−	0.818928i
$894$	1.26975	+	8.83133i	0.0424669	+	0.295364i
$895$	−14.9564	+	39.4565i	−0.499936	+	1.31888i
$896$	−2.14793			−0.0717572
$897$	14.4980	+	0.759981i	0.484073	+	0.0253750i
$898$			18.1947i			0.607164i
$899$	34.1820	+	21.9674i	1.14003	+	0.732655i
$900$	−6.77131	−	10.7873i	−0.225710	−	0.359577i
$901$	−12.4055	−	27.1642i	−0.413286	−	0.904971i
$902$	−10.4979	+	35.7527i	−0.349543	+	1.19043i
$903$	4.45222	+	2.03326i	0.148161	+	0.0676627i
$904$	−3.14012	+	3.62389i	−0.104439	+	0.120529i
$905$	7.03340	−	0.465401i	0.233798	−	0.0154705i
$906$	−11.1734	+	3.28082i	−0.371213	+	0.108998i
$907$	−1.47406	+	1.27728i	−0.0489455	+	0.0424115i	−0.678990	−	0.734147i	$-0.737582\pi$
$907$	−1.47406	+	1.27728i	−0.0489455	+	0.0424115i	0.630045	+	0.776559i	$0.283037\pi$
$908$	7.65865	+	11.9171i	0.254161	+	0.395483i
$909$	27.4414	−	17.6355i	0.910174	−	0.584933i
$910$	17.2295	+	13.0416i	0.571153	+	0.432325i
$911$	−37.6676	+	11.0602i	−1.24798	+	0.366441i	−0.838009	−	0.545656i	$-0.816280\pi$
$911$	−37.6676	+	11.0602i	−1.24798	+	0.366441i	−0.409974	+	0.912097i	$0.634462\pi$
$912$	−3.66490	−	0.526933i	−0.121357	−	0.0174485i
$913$	17.8978	+	15.5085i	0.592329	+	0.513256i
$914$	14.9872	−	32.8174i	0.495733	−	1.08550i
$915$	10.2603	+	0.788777i	0.339194	+	0.0260762i
$916$	8.22419	+	18.0085i	0.271735	+	0.595016i
$917$	−13.9566	+	2.00665i	−0.460887	+	0.0662655i
$918$	11.3733	−	17.6972i	0.375374	−	0.584093i
$919$	−16.8622			−0.556233			−0.278116	−	0.960547i	$-0.589710\pi$
$919$	−16.8622			−0.556233			−0.278116	+	0.960547i	$0.589710\pi$
$920$	9.69276	−	4.58807i	0.319561	−	0.151264i
$921$	0.639680			0.0210782
$922$	3.96605	−	6.17129i	0.130615	−	0.203241i
$923$	−38.8920	+	5.59182i	−1.28014	+	0.184057i
$924$	−2.14797	−	4.70340i	−0.0706631	−	0.154731i
$925$	5.49125	+	41.3117i	0.180551	+	1.35832i
$926$	−13.1166	+	28.7214i	−0.431039	+	0.943843i
$927$	−27.4328	−	23.7707i	−0.901013	−	0.780732i
$928$	−8.39321	−	1.20676i	−0.275521	−	0.0396139i
$929$	−34.6187	+	10.1650i	−1.13580	+	0.333502i	−0.794986	−	0.606628i	$-0.792522\pi$
$929$	−34.6187	+	10.1650i	−1.13580	+	0.333502i	−0.340817	+	0.940130i	$0.610704\pi$
$930$	4.35109	−	5.74830i	0.142678	−	0.188494i
$931$	11.0475	−	7.09980i	0.362068	−	0.232687i
$932$	1.74171	+	2.71015i	0.0570515	+	0.0887739i
$933$	−2.10520	+	1.82417i	−0.0689213	+	0.0597206i
$934$	−6.13806	+	1.80230i	−0.200843	+	0.0589730i
$935$	2.97712	+	44.9918i	0.0973621	+	1.47139i
$936$	7.50503	−	8.66127i	0.245310	−	0.283102i
$937$	8.47312	+	3.86954i	0.276805	+	0.126412i	0.548981	−	0.835835i	$-0.315016\pi$
$937$	8.47312	+	3.86954i	0.276805	+	0.126412i	−0.272176	+	0.962247i	$0.587743\pi$
$938$	0.520194	−	1.77162i	0.0169849	−	0.0578453i
$939$	−2.65194	−	5.80693i	−0.0865427	−	0.189502i
$940$	−8.24579	−	22.4726i	−0.268948	−	0.732976i
$941$	−48.2646	−	31.0178i	−1.57338	−	1.01115i	−0.978227	−	0.207538i	$-0.933455\pi$
$941$	−48.2646	−	31.0178i	−1.57338	−	1.01115i	−0.595153	−	0.803612i	$-0.702909\pi$
$942$			1.75338i			0.0571283i
$943$	−18.3422	−	46.4580i	−0.597305	−	1.51288i
$944$	−1.92266			−0.0625774
$945$	6.35407	−	16.7627i	0.206698	−	0.545291i
$946$	1.72442	+	11.9936i	0.0560657	+	0.389945i
$947$	50.7170	−	23.1617i	1.64808	−	0.752653i	0.648120	−	0.761538i	$-0.275555\pi$
$947$	50.7170	−	23.1617i	1.64808	−	0.752653i	0.999961	+	0.00888487i	$0.00282818\pi$
$948$	−2.78363	+	9.48017i	−0.0904081	+	0.307902i
$949$	−11.8799	+	26.0132i	−0.385636	+	0.844426i
$950$	26.3160	+	8.03251i	0.853802	+	0.260609i
$951$	−1.36258	+	9.47693i	−0.0441846	+	0.307310i
$952$	3.41067	+	11.6157i	0.110541	+	0.376467i
$953$	−9.78866	+	8.48192i	−0.317086	+	0.274756i	−0.798832	−	0.601555i	$-0.794548\pi$
$953$	−9.78866	+	8.48192i	−0.317086	+	0.274756i	0.481746	+	0.876311i	$0.340003\pi$
$954$	−11.3541	+	7.29682i	−0.367602	+	0.236243i
$955$	0.222197	+	0.224577i	0.00719013	+	0.00726713i
$956$	−16.6255	−	19.1868i	−0.537707	−	0.620547i
$957$	−5.75089	−	19.5857i	−0.185900	−	0.633117i
$958$	18.8581	+	2.71138i	0.609277	+	0.0876007i
$959$	8.89196	−	10.2619i	0.287136	−	0.331373i
$960$	−0.327634	+	1.46841i	−0.0105743	+	0.0473928i
$961$	7.71298	+	2.26473i	0.248806	+	0.0730559i
$962$	−34.1113	+	15.5781i	−1.09979	+	0.502258i
$963$	9.91894	−	1.42613i	0.319633	−	0.0459563i
$964$	−7.58766	−	4.87629i	−0.244382	−	0.157055i
$965$	32.2940	−	6.84520i	1.03958	−	0.220355i
$966$	6.14530	+	3.20533i	0.197722	+	0.103130i
$967$			13.4094i			0.431218i	0.976480	+	0.215609i	$0.0691737\pi$
$967$			13.4094i			0.431218i	−0.976480	+	0.215609i	$0.930826\pi$
$968$	0.973439	−	1.51470i	0.0312875	−	0.0486843i
$969$	2.96988	+	20.6560i	0.0954063	+	0.663566i
$970$	9.67759	−	7.16444i	0.310729	−	0.230036i
$971$	−50.8163	−	14.9210i	−1.63077	−	0.478838i	−0.666889	−	0.745157i	$-0.732374\pi$
$971$	−50.8163	−	14.9210i	−1.63077	−	0.478838i	−0.963885	+	0.266319i	$0.914192\pi$
$972$	−13.3255	−	6.08556i	−0.427416	−	0.195194i
$973$	−18.6995	−	16.2032i	−0.599478	−	0.519451i
$974$	1.77472	−	12.3435i	0.0568658	−	0.395510i
$975$	11.5439	−	9.78951i	0.369701	−	0.313515i
$976$	4.47909	+	5.16914i	0.143372	+	0.165460i
$977$	−21.8050	−	33.9293i	−0.697605	−	1.08549i	−0.991557	−	0.129674i	$-0.958607\pi$
$977$	−21.8050	−	33.9293i	−0.697605	−	1.08549i	0.293952	−	0.955820i	$-0.405029\pi$
$978$	0.0694177	+	0.108016i	0.00221973	+	0.00345397i
$979$	−10.2423	−	11.8203i	−0.327346	−	0.377777i
$980$	−2.53238	−	4.69700i	−0.0808938	−	0.150040i
$981$	3.55873	−	24.7515i	0.113621	−	0.790255i
$982$	10.1399	+	8.78624i	0.323576	+	0.280380i
$983$	−18.0252	−	8.23184i	−0.574915	−	0.262555i	0.106669	−	0.994295i	$-0.465981\pi$
$983$	−18.0252	−	8.23184i	−0.574915	−	0.262555i	−0.681584	+	0.731740i	$0.738709\pi$
$984$	6.72368	+	1.97425i	0.214343	+	0.0629368i
$985$	−2.70673	−	3.65620i	−0.0862436	−	0.116496i
$986$	6.80150	+	47.3055i	0.216604	+	1.50651i
$987$	8.36446	−	13.0154i	0.266244	−	0.414283i
$988$			24.7582i			0.787662i
$989$	−11.7013	−	11.2643i	−0.372081	−	0.358184i
$990$	19.9358	−	4.22569i	0.633600	−	0.134301i
$991$	−36.7271	−	23.6031i	−1.16668	−	0.749777i	−0.193786	−	0.981044i	$-0.562077\pi$
$991$	−36.7271	−	23.6031i	−1.16668	−	0.749777i	−0.972890	+	0.231267i	$0.925713\pi$
$992$	4.74303	−	0.681945i	0.150591	−	0.0216518i
$993$	−5.43445	+	2.48183i	−0.172457	+	0.0787585i
$994$	−17.9986	−	5.28486i	−0.570880	−	0.167626i
$995$	−26.7407	−	5.96641i	−0.847736	−	0.189148i
$996$	2.91654	−	3.36587i	0.0924142	−	0.106652i
$997$	−9.25208	−	1.33025i	−0.293016	−	0.0421294i	−0.00576084	−	0.999983i	$-0.501834\pi$
$997$	−9.25208	−	1.33025i	−0.293016	−	0.0421294i	−0.287255	+	0.957854i	$0.592743\pi$
$998$	0.874886	+	2.97959i	0.0276940	+	0.0943172i
$999$	20.3727	+	23.5113i	0.644564	+	0.743866i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.209.4	✓	120
5.4	even	2	inner	230.2.j.a.209.9	yes	120
23.12	even	11	inner	230.2.j.a.219.9	yes	120
115.104	even	22	inner	230.2.j.a.219.4	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.209.4	✓	120	1.1	even	1	trivial
230.2.j.a.209.9	yes	120	5.4	even	2	inner
230.2.j.a.219.4	yes	120	115.104	even	22	inner
230.2.j.a.219.9	yes	120	23.12	even	11	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.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 + 0.841254i) q^{2} +(0.665993 - 0.0957553i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.171396 + 2.22949i) q^{5} +(-0.279508 + 0.612038i) q^{6} +(1.62329 + 1.40659i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.44410 + 0.717653i) q^{9} +O(q^{10})\)	\(q+(-0.540641 + 0.841254i) q^{2} +(0.665993 - 0.0957553i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.171396 + 2.22949i) q^{5} +(-0.279508 + 0.612038i) q^{6} +(1.62329 + 1.40659i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.44410 + 0.717653i) q^{9} +(-1.78290 - 1.34954i) q^{10} +(3.00982 - 1.93430i) q^{11} +(-0.363766 - 0.566030i) q^{12} +(-3.40020 + 2.94629i) q^{13} +(-2.06092 + 0.605141i) q^{14} +(0.0993370 + 1.50124i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(5.12683 + 2.34135i) q^{17} +(0.717653 - 2.44410i) q^{18} +(2.28599 + 5.00562i) q^{19} +(2.09922 - 0.770256i) q^{20} +(1.21579 + 0.781342i) q^{21} +3.57778i q^{22} +(-2.94656 - 3.78388i) q^{23} +0.672842 q^{24} +(-4.94125 - 0.764251i) q^{25} +(-0.640289 - 4.45331i) q^{26} +(-3.39515 + 1.55051i) q^{27} +(0.605141 - 2.06092i) q^{28} +(3.52252 - 7.71324i) q^{29} +(-1.31663 - 0.728062i) q^{30} +(-0.681945 + 4.74303i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(1.81930 - 1.57643i) q^{33} +(-4.74144 + 3.04714i) q^{34} +(-3.41421 + 3.37803i) q^{35} +(1.66812 + 1.92511i) q^{36} +(-2.34825 - 7.99739i) q^{37} +(-5.44690 - 0.783146i) q^{38} +(-1.98238 + 2.28779i) q^{39} +(-0.486941 + 2.18240i) q^{40} +(9.99296 + 2.93420i) q^{41} +(-1.31461 + 0.600364i) q^{42} +(3.35224 - 0.481980i) q^{43} +(-3.00982 - 1.93430i) q^{44} +(-1.18109 - 5.57210i) q^{45} +(4.77624 - 0.433085i) q^{46} -10.7053i q^{47} +(-0.363766 + 0.566030i) q^{48} +(-0.339622 - 2.36212i) q^{49} +(3.31437 - 3.74366i) q^{50} +(3.63863 + 1.06840i) q^{51} +(4.09253 + 1.86900i) q^{52} +(-4.00429 - 3.46974i) q^{53} +(0.531182 - 3.69445i) q^{54} +(3.79662 + 7.04190i) q^{55} +(1.40659 + 1.62329i) q^{56} +(2.00177 + 3.11481i) q^{57} +(4.58437 + 7.13343i) q^{58} +(1.25908 + 1.45305i) q^{59} +(1.32431 - 0.713996i) q^{60} +(0.973399 - 6.77014i) q^{61} +(-3.62141 - 3.13797i) q^{62} +(-4.97694 - 2.27289i) q^{63} +(0.959493 + 0.281733i) q^{64} +(-5.98594 - 8.08568i) q^{65} +(0.342592 + 2.38278i) q^{66} +(-0.464748 + 0.723162i) q^{67} -5.63616i q^{68} +(-2.32472 - 2.23789i) q^{69} +(-0.995922 - 4.69852i) q^{70} +(7.34689 + 4.72156i) q^{71} +(-2.52136 + 0.362516i) q^{72} +(5.78187 - 2.64049i) q^{73} +(7.99739 + 2.34825i) q^{74} +(-3.36402 - 0.0358349i) q^{75} +(3.60364 - 4.15882i) q^{76} +(7.60660 + 1.09366i) q^{77} +(-0.852857 - 2.90456i) q^{78} +(-9.61636 - 11.0979i) q^{79} +(-1.57270 - 1.58954i) q^{80} +(4.31606 - 2.77376i) q^{81} +(-7.87101 + 6.82027i) q^{82} +(1.86485 + 6.35109i) q^{83} +(0.205675 - 1.43050i) q^{84} +(-6.09873 + 11.0289i) q^{85} +(-1.40689 + 3.08066i) q^{86} +(1.60739 - 5.47427i) q^{87} +(3.25447 - 1.48626i) q^{88} +(-0.622136 - 4.32705i) q^{89} +(5.32610 + 2.01891i) q^{90} -9.66375 q^{91} +(-2.21789 + 4.25217i) q^{92} +3.22413i q^{93} +(9.00583 + 5.78770i) q^{94} +(-11.5518 + 4.23865i) q^{95} +(-0.279508 - 0.612038i) q^{96} +(-1.51710 + 5.16676i) q^{97} +(2.17076 + 0.991351i) q^{98} +(-5.96816 + 6.88762i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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