LMFDB - Embedded newform 230.2.j.a.219.9

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			219.9
Character	$\chi$	$=$	230.219
Dual form			230.2.j.a.209.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 + 0.841254i) q^{2} +(-0.665993 - 0.0957553i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.06117 + 1.96823i) q^{5} +(-0.279508 - 0.612038i) q^{6} +(-1.62329 + 1.40659i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.44410 - 0.717653i) q^{9} +O(q^{10})$	\(q+(0.540641 + 0.841254i) q^{2} +(-0.665993 - 0.0957553i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.06117 + 1.96823i) 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} +(-1.08207 + 1.95681i) 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} +(-0.518260 - 1.41244i) 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} +(-2.23119 + 0.147638i) q^{20} +(1.21579 - 0.781342i) q^{21} +3.57778i q^{22} +(2.94656 - 3.78388i) q^{23} +0.672842 q^{24} +(-2.74786 + 4.17724i) 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} +(0.908027 - 1.19961i) 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} +(-4.49108 - 1.70239i) 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} +(-1.33047 - 1.79718i) 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} +(-4.99972 - 0.0532591i) 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} +(-0.613217 + 7.97663i) 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} +(1.50009 + 0.115322i) 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} +(-2.19080 + 9.81887i) 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} +(2.23004 - 2.51889i) 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} +(0.792573 - 2.09089i) 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} +(-10.0487 - 7.60623i) 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} +(4.04900 - 4.00610i) q^{90} -9.66375 q^{91} +(2.21789 + 4.25217i) q^{92} +3.22413i q^{93} +(9.00583 - 5.78770i) q^{94} +(12.2780 - 0.812439i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{10}{11}\right)$

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	$-0.516767\pi$
$3$	−0.665993	−	0.0957553i	−0.384511	−	0.0552844i	−0.331860	+	0.943329i	$0.607676\pi$
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	1.06117	+	1.96823i	0.474568	+	0.880219i
$5$	1.06117	+	1.96823i	0.474568	+	0.880219i
$6$	−0.279508	−	0.612038i	−0.114109	−	0.249864i
$7$	−1.62329	+	1.40659i	−0.613548	+	0.531642i	−0.905257	−	0.424865i	$-0.860322\pi$
$7$	−1.62329	+	1.40659i	−0.613548	+	0.531642i	0.291709	+	0.956507i	$0.405776\pi$
$8$	−0.989821	+	0.142315i	−0.349955	+	0.0503159i
$9$	−2.44410	−	0.717653i	−0.814700	−	0.239218i
$10$	−1.08207	+	1.95681i	−0.342181	+	0.618799i
$11$	3.00982	+	1.93430i	0.907496	+	0.583212i	0.909004	−	0.416787i	$-0.136844\pi$
$11$	3.00982	+	1.93430i	0.907496	+	0.583212i	−0.00150867	+	0.999999i	$0.500480\pi$
$12$	0.363766	−	0.566030i	0.105010	−	0.163399i
$13$	3.40020	+	2.94629i	0.943045	+	0.817153i	0.983292	−	0.182037i	$-0.0582690\pi$
$13$	3.40020	+	2.94629i	0.943045	+	0.817153i	−0.0402468	+	0.999190i	$0.512814\pi$
$14$	−2.06092	−	0.605141i	−0.550804	−	0.161731i
$15$	−0.518260	−	1.41244i	−0.133814	−	0.364690i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−5.12683	+	2.34135i	−1.24344	+	0.567860i	−0.924958	−	0.380069i	$-0.875900\pi$
$17$	−5.12683	+	2.34135i	−1.24344	+	0.567860i	−0.318482	+	0.947929i	$0.603173\pi$
$18$	−0.717653	−	2.44410i	−0.169152	−	0.576080i
$19$	2.28599	−	5.00562i	0.524442	−	1.14837i	−0.443288	−	0.896379i	$-0.646188\pi$
$19$	2.28599	−	5.00562i	0.524442	−	1.14837i	0.967730	−	0.251989i	$-0.0810848\pi$
$20$	−2.23119	+	0.147638i	−0.498909	+	0.0330129i
$21$	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
$25$	−2.74786	+	4.17724i	−0.549571	+	0.835447i
$26$	−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	0.887905	+	0.460026i	$0.152160\pi$
$29$	3.52252	+	7.71324i	0.654115	+	1.43231i	−0.233790	+	0.972287i	$0.575113\pi$
$30$	0.908027	−	1.19961i	0.165782	−	0.219018i
$31$	−0.681945	−	4.74303i	−0.122481	−	0.851874i	−0.954730	−	0.297472i	$-0.903856\pi$
$31$	−0.681945	−	4.74303i	−0.122481	−	0.851874i	0.832249	−	0.554401i	$-0.187053\pi$
$32$	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
$35$	−4.49108	−	1.70239i	−0.759131	−	0.287756i
$36$	1.66812	−	1.92511i	0.278019	−	0.320851i
$37$	2.34825	−	7.99739i	0.386049	−	1.31476i	−0.505886	−	0.862600i	$-0.668835\pi$
$37$	2.34825	−	7.99739i	0.386049	−	1.31476i	0.891936	−	0.452163i	$-0.149347\pi$
$38$	5.44690	−	0.783146i	0.883604	−	0.127043i
$39$	−1.98238	−	2.28779i	−0.317436	−	0.366340i
$40$	−1.33047	−	1.79718i	−0.210366	−	0.284159i
$41$	9.99296	−	2.93420i	1.56064	−	0.458245i	0.616380	−	0.787449i	$-0.288599\pi$
$41$	9.99296	−	2.93420i	1.56064	−	0.458245i	0.944259	+	0.329204i	$0.106780\pi$
$42$	1.31461	+	0.600364i	0.202849	+	0.0926381i
$43$	−3.35224	−	0.481980i	−0.511212	−	0.0735012i	−0.118118	−	0.993000i	$-0.537686\pi$
$43$	−3.35224	−	0.481980i	−0.511212	−	0.0735012i	−0.393094	+	0.919498i	$0.628595\pi$
$44$	−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
$50$	−4.99972	−	0.0532591i	−0.707067	−	0.00753197i
$51$	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	$-0.608718\pi$
$53$	4.00429	−	3.46974i	0.550031	−	0.476605i	0.884978	+	0.465632i	$0.154173\pi$
$54$	0.531182	+	3.69445i	0.0722847	+	0.502751i
$55$	−0.613217	+	7.97663i	−0.0826862	+	1.07557i
$56$	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	−0.667848	−	0.744297i	$-0.732785\pi$
$59$	1.25908	−	1.45305i	0.163918	−	0.189171i	0.831766	+	0.555126i	$0.187330\pi$
$60$	1.50009	+	0.115322i	0.193661	+	0.0148880i
$61$	0.973399	+	6.77014i	0.124631	+	0.866828i	0.952203	+	0.305467i	$0.0988127\pi$
$61$	0.973399	+	6.77014i	0.124631	+	0.866828i	−0.827572	+	0.561360i	$0.810278\pi$
$62$	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
$65$	−2.19080	+	9.81887i	−0.271735	+	1.21788i
$66$	0.342592	−	2.38278i	0.0421701	−	0.293300i
$67$	0.464748	+	0.723162i	0.0567780	+	0.0883483i	0.868482	−	0.495721i	$-0.165096\pi$
$67$	0.464748	+	0.723162i	0.0567780	+	0.0883483i	−0.811704	+	0.584069i	$0.801460\pi$
$68$		−	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	−0.0264224	−	0.999651i	$-0.508411\pi$
$71$	7.34689	−	4.72156i	0.871916	−	0.560346i	0.898338	+	0.439305i	$0.144775\pi$
$72$	2.52136	+	0.362516i	0.297145	+	0.0427230i
$73$	−5.78187	−	2.64049i	−0.676717	−	0.309046i	0.0472479	−	0.998883i	$-0.484955\pi$
$73$	−5.78187	−	2.64049i	−0.676717	−	0.309046i	−0.723965	+	0.689837i	$0.757682\pi$
$74$	7.99739	−	2.34825i	0.929678	−	0.272978i
$75$	2.23004	−	2.51889i	0.257503	−	0.290856i
$76$	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	−0.115049	+	0.993360i	$0.536703\pi$
$79$	−9.61636	+	11.0979i	−1.08192	+	1.24861i	−0.966876	+	0.255248i	$0.917843\pi$
$80$	0.792573	−	2.09089i	0.0886124	−	0.233769i
$81$	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	0.791595	+	0.611047i	$0.209251\pi$
$83$	−1.86485	+	6.35109i	−0.204694	+	0.697123i	−0.996289	+	0.0860767i	$0.972567\pi$
$84$	0.205675	+	1.43050i	0.0224410	+	0.156081i
$85$	−10.0487	−	7.60623i	−1.08994	−	0.825011i
$86$	−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	0.929915	+	0.367776i	$0.119881\pi$
$89$	−0.622136	+	4.32705i	−0.0659463	+	0.458667i	−0.995861	+	0.0908909i	$0.971029\pi$
$90$	4.04900	−	4.00610i	0.426802	−	0.422280i
$91$	−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
$95$	12.2780	−	0.812439i	1.25970	−	0.0833545i
$96$	−0.279508	+	0.612038i	−0.0285272	+	0.0624659i
$97$	1.51710	+	5.16676i	0.154038	+	0.524605i	0.999962	−	0.00869816i	$-0.00276875\pi$
$97$	1.51710	+	5.16676i	0.154038	+	0.524605i	−0.845924	+	0.533303i	$0.820951\pi$
$98$	−2.17076	+	0.991351i	−0.219279	+	0.100142i
$99$	−5.96816	−	6.88762i	−0.599822	−	0.692232i
$100$	−2.65825	−	4.23482i	−0.265825	−	0.423482i
$101$	−12.2869	−	3.60777i	−1.22260	−	0.358987i	−0.394146	−	0.919048i	$-0.628959\pi$
$101$	−12.2869	−	3.60777i	−1.22260	−	0.358987i	−0.828451	+	0.560061i	$0.810778\pi$
$102$	2.86599	+	2.48339i	0.283775	+	0.245892i
$103$	−7.70414	+	11.9879i	−0.759112	+	1.18120i	0.219526	+	0.975607i	$0.429549\pi$
$103$	−7.70414	+	11.9879i	−0.759112	+	1.18120i	−0.978637	+	0.205594i	$0.934087\pi$
$104$	−3.78489	−	2.43240i	−0.371139	−	0.238516i
$105$	2.82802	+	1.56382i	0.275986	+	0.152614i
$106$	5.08381	+	1.49274i	0.493783	+	0.144988i
$107$	3.89393	−	0.559862i	0.376440	−	0.0541239i	0.0485019	−	0.998823i	$-0.484555\pi$
$107$	3.89393	−	0.559862i	0.376440	−	0.0541239i	0.327938	+	0.944699i	$0.393646\pi$
$108$	−2.82079	+	2.44423i	−0.271431	+	0.235196i
$109$	−4.07802	−	8.92962i	−0.390604	−	0.855303i	−0.998137	−	0.0610086i	$-0.980568\pi$
$109$	−4.07802	−	8.92962i	−0.390604	−	0.855303i	0.607534	−	0.794294i	$-0.292159\pi$
$110$	−7.04190	+	3.79662i	−0.671419	+	0.361994i
$111$	−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	$-0.109403\pi$
$113$	2.59243	+	4.03389i	0.243875	+	0.379477i	−0.697640	+	0.716449i	$0.745766\pi$
$114$	−3.70259			−0.346779
$115$	10.5743	+	1.78419i	0.986062	+	0.166376i
$116$	−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
$120$	0.713996	+	1.32431i	0.0651786	+	0.120892i
$121$	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
$125$	−11.1377	−	0.975672i	−0.996185	−	0.0872667i
$126$	4.60282	+	2.95805i	0.410052	+	0.263524i
$127$	−1.14551	+	1.78245i	−0.101648	+	0.158167i	−0.888352	−	0.459163i	$-0.848149\pi$
$127$	−1.14551	+	1.78245i	−0.101648	+	0.158167i	0.786704	+	0.617330i	$0.211786\pi$
$128$	0.755750	+	0.654861i	0.0667995	+	0.0578821i
$129$	2.18642	+	0.641990i	0.192503	+	0.0565241i
$130$	−9.44459	+	3.46546i	−0.828345	+	0.303941i
$131$	−4.29884	−	4.96113i	−0.375591	−	0.433456i	0.536212	−	0.844084i	$-0.319855\pi$
$131$	−4.29884	−	4.96113i	−0.375591	−	0.433456i	−0.911803	+	0.410628i	$0.865309\pi$
$132$	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
$135$	0.551051	+	8.32779i	0.0474269	+	0.716742i
$136$	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	$0.662468\pi$
$140$	3.41421	−	3.37803i	0.288553	−	0.285496i
$141$	−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
$145$	−11.4435	+	15.1182i	−0.950327	+	1.25549i
$146$	−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	0.910876	−	0.412679i	$-0.135407\pi$
$149$	11.1553	+	7.16911i	0.913882	+	0.587316i	0.00300539	+	0.999995i	$0.499043\pi$
$150$	3.32468	+	0.514220i	0.271459	+	0.0419859i
$151$	11.3340	−	13.0801i	0.922344	−	1.06444i	−0.0753891	−	0.997154i	$-0.524020\pi$
$151$	11.3340	−	13.0801i	0.922344	−	1.06444i	0.997734	−	0.0672881i	$-0.0214346\pi$
$152$	−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
$155$	8.61172	−	6.37537i	0.691710	−	0.512082i
$156$	2.90456	−	0.852857i	0.232551	−	0.0682832i
$157$	−2.37044	−	1.08254i	−0.189182	−	0.0863965i	0.318572	−	0.947899i	$-0.396797\pi$
$157$	−2.37044	−	1.08254i	−0.189182	−	0.0863965i	−0.507754	+	0.861502i	$0.669524\pi$
$158$	−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	$-0.184197\pi$
$163$	−0.103171	−	0.160537i	−0.00808097	−	0.0125742i	−0.845271	+	0.534339i	$0.820561\pi$
$164$	−1.48219	+	10.3088i	−0.115739	+	0.804984i
$165$	1.17220	−	5.25366i	0.0912559	−	0.408997i
$166$	−6.35109	+	1.86485i	−0.492941	+	0.144740i
$167$	3.82072	−	1.74487i	0.295657	−	0.135022i	−0.262064	−	0.965050i	$-0.584403\pi$
$167$	3.82072	−	1.74487i	0.295657	−	0.135022i	0.557721	+	0.830029i	$0.311676\pi$
$168$	−1.09222	+	0.946414i	−0.0842666	+	0.0730174i
$169$	1.03064	+	7.16823i	0.0792797	+	0.551403i
$170$	0.966015	−	12.5658i	0.0740900	−	0.963750i
$171$	−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	$-0.656001\pi$
$173$	6.93676	−	10.7938i	0.527392	−	0.820638i	0.998098	+	0.0616525i	$0.0196371\pi$
$174$	3.73622	−	4.31183i	0.283242	−	0.326879i
$175$	−1.41509	−	10.6460i	−0.106971	−	0.804762i
$176$	−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	0.476920	−	0.878947i	$-0.341753\pi$
$179$	18.1063	−	5.31648i	1.35332	−	0.397372i	0.876405	+	0.481575i	$0.159935\pi$
$180$	5.55920	+	1.24038i	0.414359	+	0.0924522i
$181$	−0.448621	+	3.12022i	−0.0333457	+	0.231924i	−0.999678	−	0.0253726i	$-0.991923\pi$
$181$	−0.448621	+	3.12022i	−0.0333457	+	0.231924i	0.966332	+	0.257297i	$0.0828319\pi$
$182$	−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
$190$	7.32147	+	9.88970i	0.531155	+	0.717474i
$191$	0.0925216	+	0.106776i	0.00669462	+	0.00772601i	0.759087	−	0.650989i	$-0.225646\pi$
$191$	0.0925216	+	0.106776i	0.00669462	+	0.00772601i	−0.752392	+	0.658715i	$0.771100\pi$
$192$	−0.665993	+	0.0957553i	−0.0480639	+	0.00691055i
$193$	4.15927	−	14.1652i	0.299391	−	1.01963i	−0.663148	−	0.748489i	$-0.730780\pi$
$193$	4.15927	−	14.1652i	0.299391	−	1.01963i	0.962539	−	0.271144i	$-0.0874019\pi$
$194$	−3.52635	+	4.06962i	−0.253177	+	0.292182i
$195$	2.39926	−	6.32952i	0.171815	−	0.453266i
$196$	−2.00758	−	1.29019i	−0.143398	−	0.0921565i
$197$	1.53751	+	1.33226i	0.109543	+	0.0949194i	0.707910	−	0.706303i	$-0.249638\pi$
$197$	1.53751	+	1.33226i	0.109543	+	0.0949194i	−0.598367	+	0.801222i	$0.704184\pi$
$198$	2.56761	−	8.74446i	0.182472	−	0.621442i
$199$	−1.74376	−	12.1281i	−0.123612	−	0.859740i	−0.953410	−	0.301677i	$-0.902454\pi$
$199$	−1.74376	−	12.1281i	−0.123612	−	0.859740i	0.829798	−	0.558063i	$-0.188455\pi$
$200$	2.12540	−	4.52578i	0.150289	−	0.320021i
$201$	−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
$205$	16.3794	+	16.5548i	1.14398	+	1.15624i
$206$	−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
$210$	0.213369	+	3.22455i	0.0147238	+	0.222515i
$211$	0.488377	−	1.06940i	0.0336212	−	0.0736202i	−0.892076	−	0.451885i	$-0.850752\pi$
$211$	0.488377	−	1.06940i	0.0336212	−	0.0736202i	0.925698	+	0.378265i	$0.123479\pi$
$212$	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
$215$	−2.60864	−	7.10944i	−0.177908	−	0.484860i
$216$	−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
$220$	−7.00106	−	3.87141i	−0.472011	−	0.261011i
$221$	−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	$-0.795075\pi$
$223$	−4.77158	+	4.13460i	−0.319529	+	0.276873i	0.480296	+	0.877106i	$0.340529\pi$
$224$	0.892281	+	1.95382i	0.0596180	+	0.130545i
$225$	9.71384	−	8.23758i	0.647589	−	0.549172i
$226$	−1.99196	+	4.36178i	−0.132503	+	0.290141i
$227$	14.0217	+	2.01602i	0.930653	+	0.133808i	0.590934	−	0.806720i	$-0.298759\pi$
$227$	14.0217	+	2.01602i	0.930653	+	0.133808i	0.339718	+	0.940527i	$0.389668\pi$
$228$	−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	$0.726964\pi$
$230$	4.21597	+	9.86031i	0.277993	+	0.650169i
$231$	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	$-0.420893\pi$
$233$	3.18877	+	0.458476i	0.208903	+	0.0300358i	−0.0370686	+	0.999313i	$0.511802\pi$
$234$	4.76086	−	10.4248i	0.311227	−	0.681493i
$235$	21.0704	−	11.3600i	1.37448	−	0.741048i
$236$	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	0.948649	−	0.316331i	$-0.102451\pi$
$239$	24.3595	+	7.15258i	1.57568	+	0.462662i	0.627033	+	0.778993i	$0.284269\pi$
$240$	−0.728062	+	1.31663i	−0.0469962	+	0.0849879i
$241$	7.58766	+	4.87629i	0.488764	+	0.314110i	0.761708	−	0.647920i	$-0.224361\pi$
$241$	7.58766	+	4.87629i	0.488764	+	0.314110i	−0.272944	+	0.962030i	$0.587997\pi$
$242$	−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
$245$	−5.00959	+	1.83815i	−0.320051	+	0.117435i
$246$	−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
$250$	−5.20070	−	9.89711i	−0.328921	−	0.625948i
$251$	−10.3132	+	6.62787i	−0.650961	+	0.418347i	−0.824017	−	0.566565i	$-0.808272\pi$
$251$	−10.3132	+	6.62787i	−0.650961	+	0.418347i	0.173056	+	0.984912i	$0.444636\pi$
$252$			5.47138i			0.344665i
$253$	16.1878	−	5.68929i	1.01772	−	0.357683i
$254$	−2.11881			−0.132946
$255$	5.96405	+	6.02792i	0.373483	+	0.377483i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−22.2902	−	10.1796i	−1.39043	−	0.634986i	−0.427318	−	0.904101i	$-0.640542\pi$
$257$	−22.2902	−	10.1796i	−1.39043	−	0.634986i	−0.963108	+	0.269115i	$0.913269\pi$
$258$	0.641990	+	2.18642i	0.0399686	+	0.136120i
$259$	7.43718	+	16.2851i	0.462124	+	1.01191i
$260$	−8.02146	−	6.07172i	−0.497470	−	0.376552i
$261$	−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	$-0.448824\pi$
$263$	−12.8796	−	11.1602i	−0.794191	−	0.688170i	−0.954274	+	0.298933i	$0.903369\pi$
$264$	2.02513	+	1.30147i	0.124638	+	0.0801002i
$265$	11.0785	+	4.19940i	0.680544	+	0.257967i
$266$	−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	−0.936594	−	0.350416i	$-0.886040\pi$
$269$	−18.8639	−	21.7701i	−1.15015	−	1.32735i	−0.213558	−	0.976930i	$-0.568505\pi$
$270$	−6.70786	+	4.96591i	−0.408227	+	0.302216i
$271$	−30.8450	+	9.05690i	−1.87370	+	0.550168i	−0.876004	+	0.482303i	$0.839800\pi$
$271$	−30.8450	+	9.05690i	−1.87370	+	0.550168i	−0.997695	+	0.0678644i	$0.978381\pi$
$272$	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
$280$	4.68764	+	1.04591i	0.280140	+	0.0625053i
$281$	10.5515	−	3.09821i	0.629451	−	0.184824i	0.0485803	−	0.998819i	$-0.484530\pi$
$281$	10.5515	−	3.09821i	0.629451	−	0.184824i	0.580871	+	0.813996i	$0.302712\pi$
$282$	−6.55202	+	2.99221i	−0.390167	+	0.178183i
$283$	3.92812	−	3.40373i	0.233502	−	0.202331i	−0.530248	−	0.847843i	$-0.677901\pi$
$283$	3.92812	−	3.40373i	0.233502	−	0.202331i	0.763751	+	0.645512i	$0.223356\pi$
$284$	1.24287	+	8.64438i	0.0737510	+	0.512949i
$285$	−8.25488	−	0.634608i	−0.488977	−	0.0375910i
$286$	−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
$290$	−18.9050	−	1.45335i	−1.11014	−	0.0853439i
$291$	−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	$-0.538293\pi$
$293$	9.44334	−	4.31263i	0.551686	−	0.251947i	0.671697	+	0.740826i	$0.265566\pi$
$294$	1.54063	−	0.452371i	0.0898516	−	0.0263828i
$295$	4.19603	+	0.936223i	0.244302	+	0.0545090i
$296$	−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
$305$	−12.2923	+	9.10011i	−0.703852	+	0.521071i
$306$	9.40178	+	10.8502i	0.537464	+	0.620266i
$307$	−0.941037	+	0.135301i	−0.0537078	+	0.00772202i	−0.169116	−	0.985596i	$-0.554091\pi$
$307$	−0.941037	+	0.135301i	−0.0537078	+	0.00772202i	0.115409	+	0.993318i	$0.463182\pi$
$308$	2.16506	−	7.37353i	0.123366	−	0.420146i
$309$	6.27881	−	7.24613i	0.357189	−	0.412218i
$310$	10.0191	+	3.79786i	0.569049	+	0.215704i
$311$	−3.48282	−	2.23827i	−0.197492	−	0.126921i	0.438157	−	0.898898i	$-0.355631\pi$
$311$	−3.48282	−	2.23827i	−0.197492	−	0.126921i	−0.635650	+	0.771978i	$0.719268\pi$
$312$	2.28779	+	1.98238i	0.129521	+	0.112230i
$313$	2.67304	−	9.10353i	0.151089	−	0.514562i	−0.848811	−	0.528696i	$-0.822681\pi$
$313$	2.67304	−	9.10353i	0.151089	−	0.514562i	0.999900	+	0.0141343i	$0.00449923\pi$
$314$	−0.370863	−	2.57941i	−0.0209290	−	0.145565i
$315$	9.75494	+	7.38385i	0.549628	+	0.416033i
$316$	−6.10020	−	13.3576i	−0.343163	−	0.751422i
$317$	4.00899	+	13.6534i	0.225167	+	0.766850i	0.992136	+	0.125165i	$0.0399460\pi$
$317$	4.00899	+	13.6534i	0.225167	+	0.766850i	−0.766969	+	0.641685i	$0.778236\pi$
$318$	−3.24284	−	1.48096i	−0.181850	−	0.0830480i
$319$	−4.31753	+	30.0291i	−0.241735	+	1.68131i
$320$	1.57270	+	1.58954i	0.0879163	+	0.0888578i
$321$	−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
$325$	−21.6506	+	6.10745i	−1.20096	+	0.338780i
$326$	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
$330$	5.05340	−	1.85422i	0.278181	−	0.102072i
$331$	−8.51959	−	2.50158i	−0.468279	−	0.137499i	0.0390760	−	0.999236i	$-0.487559\pi$
$331$	−8.51959	−	2.50158i	−0.468279	−	0.137499i	−0.507355	+	0.861737i	$0.669377\pi$
$332$	−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
$335$	−0.930174	+	1.68212i	−0.0508208	+	0.0919043i
$336$	−1.38667	−	0.407164i	−0.0756492	−	0.0222126i
$337$	−13.2132	+	1.89977i	−0.719769	+	0.103487i	−0.492459	−	0.870335i	$-0.663902\pi$
$337$	−13.2132	+	1.89977i	−0.719769	+	0.103487i	−0.227310	+	0.973823i	$0.572993\pi$
$338$	−5.47310	+	4.74247i	−0.297697	+	0.257956i
$339$	−1.34027	−	2.93478i	−0.0727935	−	0.159396i
$340$	11.0933	−	5.98090i	0.601617	−	0.324360i
$341$	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
$345$	−6.87159	−	2.20081i	−0.369954	−	0.118487i
$346$	12.8306			0.689778
$347$	11.7438	+	18.2737i	0.630441	+	0.980985i	0.998686	+	0.0512563i	$0.0163225\pi$
$347$	11.7438	+	18.2737i	0.630441	+	0.980985i	−0.368245	+	0.929729i	$0.620041\pi$
$348$	5.64730	+	0.811959i	0.302727	+	0.0435256i
$349$	1.38811	−	3.03954i	0.0743040	−	0.162703i	−0.868835	−	0.495102i	$-0.835131\pi$
$349$	1.38811	−	3.03954i	0.0743040	−	0.162703i	0.943139	+	0.332399i	$0.107858\pi$
$350$	8.19093	−	6.94611i	0.437823	−	0.371285i
$351$	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	$-0.376571\pi$
$353$	18.8209	−	2.70604i	1.00174	−	0.144028i	0.623618	+	0.781729i	$0.285662\pi$
$354$	−1.24125	−	0.364463i	−0.0659715	−	0.0193710i
$355$	17.0894	+	9.45001i	0.907011	+	0.501555i
$356$	−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	0.226779	−	0.973946i	$-0.427181\pi$
$359$	−2.06521	−	0.606402i	−0.108998	−	0.0320047i	−0.335777	+	0.941942i	$0.608999\pi$
$360$	1.96206	+	5.34730i	0.103410	+	0.281827i
$361$	−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
$365$	−0.938428	−	14.1820i	−0.0491196	−	0.742322i
$366$	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
$370$	13.1084	+	13.2488i	0.681475	+	0.688773i
$371$	−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	$-0.110405\pi$
$373$	−0.666115	−	2.26858i	−0.0344901	−	0.117463i	−0.974939	+	0.222473i	$0.928587\pi$
$374$	−8.37683	−	18.3427i	−0.433156	−	0.948478i
$375$	7.32420	+	1.71628i	0.378220	+	0.0886285i
$376$	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	0.188381	−	0.982096i	$-0.439676\pi$
$379$	−12.2007	−	7.84092i	−0.626708	−	0.402761i	−0.815090	+	0.579335i	$0.803312\pi$
$380$	−4.36146	+	11.5060i	−0.223738	+	0.590245i
$381$	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	$-0.684561\pi$
$383$	−16.3972	+	2.35757i	−0.837860	+	0.120466i	−0.289990	+	0.957030i	$0.593652\pi$
$384$	−0.440618	−	0.508500i	−0.0224852	−	0.0259493i
$385$	−10.2244	−	13.8110i	−0.521086	−	0.703872i
$386$	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	−0.827762	−	0.561079i	$-0.810386\pi$
$389$	−13.0419	+	8.38153i	−0.661251	+	0.424960i	0.166511	+	0.986040i	$0.446750\pi$
$390$	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
$395$	−32.0477	−	7.15052i	−1.61249	−	0.359782i
$396$	8.74446	−	2.56761i	0.439426	−	0.129027i
$397$	20.7499	−	9.47616i	1.04141	−	0.475595i	0.180084	−	0.983651i	$-0.442363\pi$
$397$	20.7499	−	9.47616i	1.04141	−	0.475595i	0.861324	+	0.508056i	$0.169636\pi$
$398$	9.26008	−	8.02391i	0.464166	−	0.402202i
$399$	−1.13181	−	7.87194i	−0.0566616	−	0.394090i
$400$	4.95641	−	0.658817i	0.247820	−	0.0329408i
$401$	−15.8763	+	18.3222i	−0.792824	+	0.914967i	−0.997965	−	0.0637652i	$-0.979689\pi$
$401$	−15.8763	+	18.3222i	−0.792824	+	0.914967i	0.205141	+	0.978732i	$0.434235\pi$
$402$	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
$405$	−0.879348	+	11.4384i	−0.0436952	+	0.568380i
$406$	−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	−0.0712233	−	0.997460i	$-0.522690\pi$
$409$	8.25387	−	2.42355i	0.408128	−	0.119837i	0.479351	+	0.877623i	$0.340872\pi$
$410$	−5.07141	+	22.7294i	−0.250459	+	1.12252i
$411$	−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	−0.549225	−	0.835675i	$-0.685077\pi$
$419$	−11.4519	+	3.36258i	−0.559462	+	0.164273i	−0.0102374	+	0.999948i	$0.503259\pi$
$420$	−2.59731	+	1.92282i	−0.126736	+	0.0938239i
$421$	−4.03795	−	4.66005i	−0.196798	−	0.227117i	0.648770	−	0.760984i	$-0.275284\pi$
$421$	−4.03795	−	4.66005i	−0.196798	−	0.227117i	−0.845568	+	0.533867i	$0.820738\pi$
$422$	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
$425$	4.30744	−	27.8497i	0.208942	−	1.35091i
$426$	−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
$430$	4.57051	−	6.03818i	0.220409	−	0.291187i
$431$	−15.2065	−	33.2976i	−0.732472	−	1.60389i	−0.795554	−	0.605882i	$-0.792820\pi$
$431$	−15.2065	−	33.2976i	−0.732472	−	1.60389i	0.0630819	−	0.998008i	$-0.479907\pi$
$432$	−1.05155	−	3.58125i	−0.0505928	−	0.172303i
$433$	4.22009	+	1.92725i	0.202804	+	0.0926177i	0.514228	−	0.857654i	$-0.328079\pi$
$433$	4.22009	+	1.92725i	0.202804	+	0.0926177i	−0.311424	+	0.950271i	$0.600806\pi$
$434$	−1.46477	+	10.1877i	−0.0703111	+	0.489025i
$435$	9.06890	−	8.97281i	0.434821	−	0.430213i
$436$	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	−0.245383	−	0.969426i	$-0.578914\pi$
$439$	11.1991	−	7.19721i	0.534502	−	0.343504i	0.779885	+	0.625922i	$0.215277\pi$
$440$	−0.528217	−	7.98271i	−0.0251818	−	0.380561i
$441$	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	0.724911	−	0.688842i	$-0.241881\pi$
$443$	36.2064	−	16.5349i	1.72022	−	0.785598i	0.995308	−	0.0967560i	$-0.0308466\pi$
$444$	−3.67255	−	4.23835i	−0.174292	−	0.201143i
$445$	−9.17682	+	3.36721i	−0.435023	+	0.159621i
$446$	−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	0.849454	−	0.527663i	$-0.176932\pi$
$449$	15.3063	+	9.83679i	0.722351	+	0.464227i	−0.127103	+	0.991890i	$0.540568\pi$
$450$	12.1816	+	3.71823i	0.574246	+	0.175279i
$451$	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
$455$	−10.2548	−	19.0205i	−0.480754	−	0.891694i
$456$	1.53811	−	3.36799i	0.0720286	−	0.157721i
$457$	35.7105	+	5.13439i	1.67046	+	0.240177i	0.911602	−	0.411074i	$-0.134846\pi$
$457$	35.7105	+	5.13439i	1.67046	+	0.240177i	0.758863	+	0.651251i	$0.225755\pi$
$458$	−10.7033	−	16.6547i	−0.500135	−	0.778225i
$459$	−21.0367			−0.981907
$460$	−6.01569	+	8.87758i	−0.280483	+	0.413919i
$461$	−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	$-0.716754\pi$
$463$	−31.2533	−	4.49355i	−1.45247	−	0.208833i	−0.822932	+	0.568140i	$0.807663\pi$
$464$	3.52252	−	7.71324i	0.163529	−	0.358078i
$465$	−6.34582	+	3.42133i	−0.294280	+	0.158660i
$466$	1.33828	+	2.93043i	0.0619948	+	0.135750i
$467$	−4.83467	+	4.18927i	−0.223722	+	0.193856i	−0.759509	−	0.650497i	$-0.774561\pi$
$467$	−4.83467	+	4.18927i	−0.223722	+	0.193856i	0.535787	+	0.844353i	$0.320015\pi$
$468$	11.3438	−	1.63100i	0.524370	−	0.0753930i
$469$	−1.77162	−	0.520194i	−0.0818057	−	0.0240203i
$470$	20.9482	+	11.5838i	0.966268	+	0.534323i
$471$	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
$475$	14.6281	+	23.3039i	0.671183	+	1.06925i
$476$	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	0.638138	+	0.769922i	$0.279705\pi$
$479$	−7.91448	+	17.3303i	−0.361622	+	0.791842i	−0.999760	+	0.0219195i	$0.993022\pi$
$480$	−1.50124	+	0.0993370i	−0.0685218	+	0.00453409i
$481$	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
$485$	−8.55948	+	8.46878i	−0.388666	+	0.384548i
$486$	2.08482	−	14.5002i	0.0945694	−	0.657744i
$487$	11.3435	+	5.18039i	0.514022	+	0.234746i	0.655500	−	0.755195i	$-0.272458\pi$
$487$	11.3435	+	5.18039i	0.514022	+	0.234746i	−0.141478	+	0.989941i	$0.545185\pi$
$488$	−1.92698	−	6.56270i	−0.0872304	−	0.297079i
$489$	0.0533388	+	0.116796i	0.00241206	+	0.00528168i
$490$	−4.25474	−	3.22056i	−0.192209	−	0.145490i
$491$	1.90943	+	13.2804i	0.0861715	+	0.599336i	0.986455	+	0.164032i	$0.0524500\pi$
$491$	1.90943	+	13.2804i	0.0861715	+	0.599336i	−0.900284	+	0.435304i	$0.856641\pi$
$492$	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
$495$	7.22322	−	19.0556i	0.324659	−	0.856486i
$496$	−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	0.799440	−	0.600746i	$-0.205130\pi$
$499$	2.03359	+	2.34689i	0.0910360	+	0.105061i	−0.708404	+	0.705807i	$0.750584\pi$
$500$	5.51426	−	9.72589i	0.246605	−	0.434955i
$501$	−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	$-0.683632\pi$
$503$	−29.2657	−	4.20777i	−1.30489	−	0.187615i	−0.759468	+	0.650544i	$0.774541\pi$
$504$	−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	−0.886129	−	0.463439i	$-0.846615\pi$
$509$	2.13588	−	14.8554i	0.0946713	−	0.658453i	0.980800	−	0.195015i	$-0.0624755\pi$
$510$	−1.84660	+	8.27621i	−0.0817688	+	0.366477i
$511$	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
$515$	−31.7703	−	2.44239i	−1.39997	−	0.107625i
$516$	−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
$520$	0.771128	−	10.0307i	0.0338162	−	0.439876i
$521$	3.40203	+	23.6616i	0.149045	+	1.03663i	0.917787	+	0.397074i	$0.129974\pi$
$521$	3.40203	+	23.6616i	0.149045	+	1.03663i	−0.768741	+	0.639560i	$0.779117\pi$
$522$	16.3240	−	14.1448i	0.714482	−	0.619102i
$523$	−29.5151	+	13.4791i	−1.29060	+	0.589399i	−0.938085	−	0.346406i	$-0.887402\pi$
$523$	−29.5151	+	13.4791i	−1.29060	+	0.589399i	−0.352518	+	0.935805i	$0.614675\pi$
$524$	6.29860	−	1.84944i	0.275156	−	0.0807930i
$525$	−0.0769708	+	7.22566i	−0.00335928	+	0.315354i
$526$	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
$535$	5.23404	+	7.07003i	0.226287	+	0.305664i
$536$	−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
$540$	−7.80413	−	2.95823i	−0.335836	−	0.127302i
$541$	−4.61180	−	2.96382i	−0.198277	−	0.127425i	0.437735	−	0.899104i	$-0.355781\pi$
$541$	−4.61180	−	2.96382i	−0.198277	−	0.127425i	−0.636012	+	0.771679i	$0.719417\pi$
$542$	−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
$545$	13.2481	−	17.5023i	0.567486	−	0.749716i
$546$	2.70110	+	5.91458i	0.115596	+	0.253121i
$547$	2.66577	+	9.07877i	0.113980	+	0.388180i	0.996647	−	0.0818182i	$-0.0260727\pi$
$547$	2.66577	+	9.07877i	0.113980	+	0.388180i	−0.882667	+	0.469998i	$0.844254\pi$
$548$	5.75036	+	2.62610i	0.245643	+	0.112181i
$549$	2.47952	−	17.2455i	0.105824	−	0.736019i
$550$	−14.9452	−	9.83123i	−0.637267	−	0.419205i
$551$	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
$555$	−12.5128	+	0.827976i	−0.531140	+	0.0351456i
$556$	4.78536	−	10.4785i	0.202945	−	0.444386i
$557$	−2.65307	−	9.03551i	−0.112414	−	0.382847i	0.883997	−	0.467492i	$-0.154842\pi$
$557$	−2.65307	−	9.03551i	−0.112414	−	0.382847i	−0.996411	+	0.0846454i	$0.973024\pi$
$558$	−11.1031	+	5.07059i	−0.470030	+	0.214655i
$559$	−9.97823	−	11.5155i	−0.422034	−	0.487053i
$560$	1.65445	+	4.50896i	0.0699134	+	0.190538i
$561$	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	0.0830510	+	0.996545i	$0.473534\pi$
$563$	−20.3569	+	31.6759i	−0.857939	+	1.33498i	−0.940990	+	0.338434i	$0.890103\pi$
$564$	−6.05950	−	3.89420i	−0.255151	−	0.163976i
$565$	−5.18864	+	9.38312i	−0.218288	+	0.394751i
$566$	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	0.955349	+	0.295479i	$0.0954792\pi$
$569$	13.1920	+	28.8864i	0.553037	+	1.21098i	−0.402313	+	0.915502i	$0.631794\pi$
$570$	−3.92906	−	7.28754i	−0.164570	−	0.305242i
$571$	−9.00512	+	19.7185i	−0.376853	+	0.825192i	0.622249	+	0.782819i	$0.286219\pi$
$571$	−9.00512	+	19.7185i	−0.376853	+	0.825192i	−0.999102	+	0.0423730i	$0.986508\pi$
$572$	−15.9330	−	2.29082i	−0.666191	−	0.0957838i
$573$	−0.0513944	−	0.0799712i	−0.00214703	−	0.00334085i
$574$	−22.3703			−0.933719
$575$	7.70944	+	22.7060i	0.321506	+	0.946908i
$576$	−2.54728			−0.106137
$577$	12.5493	+	19.5270i	0.522433	+	0.812921i	0.997761	−	0.0668874i	$-0.0213068\pi$
$577$	12.5493	+	19.5270i	0.522433	+	0.812921i	−0.475328	+	0.879809i	$0.657670\pi$
$578$	14.6160	+	2.10147i	0.607947	+	0.0874096i
$579$	−4.12644	+	9.03564i	−0.171489	+	0.375508i
$580$	−8.99817	−	16.6896i	−0.373629	−	0.693000i
$581$	−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
$585$	12.4011	−	22.4261i	0.512721	−	0.927204i
$586$	8.73347	+	5.61266i	0.360776	+	0.231857i
$587$	9.48409	−	14.7575i	0.391450	−	0.609109i	−0.588465	−	0.808523i	$-0.700268\pi$
$587$	9.48409	−	14.7575i	0.391450	−	0.609109i	0.979915	+	0.199414i	$0.0639039\pi$
$588$	1.21349	+	1.05149i	0.0500434	+	0.0433629i
$589$	−25.3008	−	7.42897i	−1.04250	−	0.306105i
$590$	1.48094	+	4.03608i	0.0609695	+	0.166163i
$591$	−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	0.913581	+	0.406657i	$0.133306\pi$
$593$	8.88549	+	30.2612i	0.364883	+	1.24268i	−0.548698	+	0.836021i	$0.684876\pi$
$594$	−5.54740	+	12.1471i	−0.227613	+	0.498402i
$595$	27.0109	−	1.78732i	1.10734	−	0.0732728i
$596$	−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	$0.313969\pi$
$600$	−1.84887	+	2.81062i	−0.0754798	+	0.114743i
$601$	1.94657	−	13.5387i	0.0794022	−	0.552254i	−0.910825	−	0.412792i	$-0.864554\pi$
$601$	1.94657	−	13.5387i	0.0794022	−	0.552254i	0.990227	−	0.139462i	$-0.0445373\pi$
$602$	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
$605$	−2.42989	+	3.21017i	−0.0987889	+	0.130512i
$606$	1.22621	+	8.52848i	0.0498114	+	0.346446i
$607$	0.196632	−	0.669666i	0.00798103	−	0.0271809i	−0.955406	−	0.295295i	$-0.904582\pi$
$607$	0.196632	−	0.669666i	0.00798103	−	0.0271809i	0.963387	+	0.268114i	$0.0864003\pi$
$608$	−4.15882	−	3.60364i	−0.168663	−	0.146147i
$609$	10.3093	+	6.62540i	0.417755	+	0.268475i
$610$	−14.3012	−	5.42101i	−0.579038	−	0.219490i
$611$	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	$-0.256618\pi$
$613$	38.6183	−	5.55248i	1.55978	−	0.224262i	0.867526	+	0.497392i	$0.165709\pi$
$614$	−0.622585	−	0.718502i	−0.0251255	−	0.0289964i
$615$	−9.32334	−	12.5938i	−0.375953	−	0.507830i
$616$	7.37353	−	2.16506i	0.297088	−	0.0872329i
$617$	−17.4707	−	7.97858i	−0.703342	−	0.321206i	0.0314429	−	0.999506i	$-0.489990\pi$
$617$	−17.4707	−	7.97858i	−0.703342	−	0.321206i	−0.734785	+	0.678300i	$0.762717\pi$
$618$	9.49041	+	1.36452i	0.381760	+	0.0548888i
$619$	−12.2502	+	7.87271i	−0.492376	+	0.316431i	−0.763160	−	0.646209i	$-0.776353\pi$
$619$	−12.2502	+	7.87271i	−0.492376	+	0.316431i	0.270784	+	0.962640i	$0.412717\pi$
$620$	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
$625$	−9.89858	−	22.9569i	−0.395943	−	0.918275i
$626$	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
$630$	−0.937772	+	12.1984i	−0.0373617	+	0.485995i
$631$	24.8801	−	28.7132i	0.990463	−	1.14306i	0.000748389	−	1.00000i	$-0.499762\pi$
$631$	24.8801	−	28.7132i	0.990463	−	1.14306i	0.989715	−	0.143056i	$-0.0456928\pi$
$632$	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
$635$	−4.72386	−	0.363155i	−0.187461	−	0.0144114i
$636$	−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
$640$	−0.486941	+	2.18240i	−0.0192480	+	0.0862671i
$641$	−4.44860	+	30.9407i	−0.175709	+	1.22208i	0.690845	+	0.723002i	$0.257238\pi$
$641$	−4.44860	+	30.9407i	−0.175709	+	1.22208i	−0.866555	+	0.499082i	$0.833671\pi$
$642$	−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	$-0.614983\pi$
$647$	−24.3191	−	3.49656i	−0.956084	−	0.137464i	−0.602659	+	0.797999i	$0.705892\pi$
$648$	−4.66688	−	2.13129i	−0.183332	−	0.0837250i
$649$	6.60023	−	1.93800i	0.259082	−	0.0760732i
$650$	−16.8431	−	14.9117i	−0.660641	−	0.584885i
$651$	−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	0.659450	+	0.751748i	$0.270789\pi$
$653$	−7.71063	+	26.2600i	−0.301740	+	1.02763i	−0.961191	+	0.275885i	$0.911029\pi$
$654$	−4.32543	+	4.99181i	−0.169138	+	0.195195i
$655$	5.20285	−	13.7257i	0.203292	−	0.536307i
$656$	−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	−0.989208	−	0.146517i	$-0.953194\pi$
$659$	−2.08830	−	14.5244i	−0.0813486	−	0.565792i	0.907859	−	0.419275i	$-0.137716\pi$
$660$	4.29195	+	3.24872i	0.167064	+	0.126456i
$661$	13.4754	+	29.5070i	0.524133	+	1.14769i	0.967851	+	0.251525i	$0.0809319\pi$
$661$	13.4754	+	29.5070i	0.524133	+	1.14769i	−0.443718	+	0.896166i	$0.646341\pi$
$662$	−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
$665$	−18.7881	+	18.5890i	−0.728571	+	0.720851i
$666$	−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
$670$	−1.91798	+	0.126913i	−0.0740982	+	0.00490309i
$671$	−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	$-0.744574\pi$
$673$	−15.7371	+	7.18690i	−0.606621	+	0.277035i	0.0883303	+	0.996091i	$0.471847\pi$
$674$	−8.74179	−	10.0886i	−0.336721	−	0.388597i
$675$	−15.8062	+	9.92175i	−0.608382	+	0.381888i
$676$	−6.94860	−	2.04029i	−0.267254	−	0.0784728i
$677$	−1.93111	−	1.67332i	−0.0742186	−	0.0643108i	0.616961	−	0.786993i	$-0.288363\pi$
$677$	−1.93111	−	1.67332i	−0.0742186	−	0.0643108i	−0.691180	+	0.722683i	$0.742909\pi$
$678$	1.74429	−	2.71417i	0.0669891	−	0.104237i
$679$	−9.73022	−	6.25323i	−0.373412	−	0.239977i
$680$	11.0289	+	6.09873i	0.422940	+	0.233875i
$681$	−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	$-0.966400\pi$
$683$	−26.9619	+	23.3626i	−1.03167	+	0.893946i	−0.0372347	+	0.999307i	$0.511855\pi$
$684$	−5.82307	−	12.7507i	−0.222651	−	0.487537i
$685$	12.4424	−	6.70830i	0.475400	−	0.256311i
$686$	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
$690$	−1.86363	−	6.97060i	−0.0709471	−	0.265366i
$691$	−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
$695$	−12.2241	−	22.6730i	−0.463685	−	0.860034i
$696$	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
$700$	10.2718	+	3.13530i	0.388237	+	0.118503i
$701$	−16.0200	−	10.2954i	−0.605067	−	0.388853i	0.201937	−	0.979398i	$-0.435276\pi$
$701$	−16.0200	−	10.2954i	−0.605067	−	0.388853i	−0.807004	+	0.590545i	$0.798913\pi$
$702$	−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
$705$	−15.1205	+	5.54811i	−0.569472	+	0.208954i
$706$	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	−0.210018	−	0.977697i	$-0.567352\pi$
$709$	17.7445	−	38.8550i	0.666409	−	1.45923i	0.876427	−	0.481535i	$-0.159920\pi$
$710$	1.28936	+	19.4856i	0.0483889	+	0.731280i
$711$	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
$715$	−25.5865	+	25.3154i	−0.956881	+	0.946742i
$716$	−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	−0.980851	−	0.194760i	$-0.937607\pi$
$719$	−13.0242	−	28.5190i	−0.485720	−	1.06358i	0.495131	−	0.868819i	$-0.335120\pi$
$720$	−3.43766	+	4.54156i	−0.128114	+	0.169254i
$721$	−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
$725$	−41.8994	−	6.48048i	−1.55610	−	0.240679i
$726$	0.793345	−	0.915568i	0.0294438	−	0.0339799i
$727$	−10.0017	+	34.0626i	−0.370942	+	1.26331i	0.536775	+	0.843726i	$0.319643\pi$
$727$	−10.0017	+	34.0626i	−0.370942	+	1.26331i	−0.907716	+	0.419585i	$0.862176\pi$
$728$	9.56539	−	1.37529i	0.354517	−	0.0509718i
$729$	−3.62455	−	4.18295i	−0.134242	−	0.154924i
$730$	11.4233	−	8.45685i	0.422797	−	0.313002i
$731$	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	$-0.249965\pi$
$733$	32.1240	+	4.61874i	1.18653	+	0.170597i	0.479344	+	0.877627i	$0.340874\pi$
$734$	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	−0.954360	−	0.298658i	$-0.903461\pi$
$739$	1.23645	−	8.59969i	0.0454835	−	0.316345i	0.999844	−	0.0176862i	$-0.00563000\pi$
$740$	−4.05866	+	18.1904i	−0.149199	+	0.668691i
$741$	−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	$-0.621372\pi$
$743$	13.4558	−	11.6596i	0.493647	−	0.427748i	0.865775	+	0.500434i	$0.166826\pi$
$744$	−0.458841	−	3.19131i	−0.0168219	−	0.116999i
$745$	−2.27278	+	29.5639i	−0.0832681	+	1.08314i
$746$	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
$750$	2.51593	+	7.08940i	0.0918688	+	0.258868i
$751$	−1.15010	−	7.99912i	−0.0419678	−	0.291892i	−0.999987	−	0.00518675i	$-0.998349\pi$
$751$	−1.15010	−	7.99912i	−0.0419678	−	0.291892i	0.958019	−	0.286705i	$-0.0925601\pi$
$752$	−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
$755$	37.7718	+	8.42770i	1.37466	+	0.306715i
$756$	1.14094	−	7.93541i	0.0414956	−	0.288608i
$757$	−5.46238	−	8.49962i	−0.198533	−	0.308924i	0.727685	−	0.685912i	$-0.240596\pi$
$757$	−5.46238	−	8.49962i	−0.198533	−	0.308924i	−0.926218	+	0.376988i	$0.876960\pi$
$758$		−	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	−0.626927	−	0.779078i	$-0.715688\pi$
$761$	−4.92933	+	3.16789i	−0.178688	+	0.114836i	0.448239	+	0.893914i	$0.352051\pi$
$762$	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
$765$	19.1015	+	25.8019i	0.690615	+	0.932870i
$766$	−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	−0.973460	−	0.228857i	$-0.926501\pi$
$769$	−16.8713	+	19.4705i	−0.608394	+	0.702124i	0.365066	+	0.930982i	$0.381047\pi$
$770$	6.09078	−	16.0681i	0.219496	−	0.579055i
$771$	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	−0.560801	−	0.827951i	$-0.689507\pi$
$773$	9.97008	−	33.9550i	0.358599	−	1.22128i	0.919400	−	0.393325i	$-0.128675\pi$
$774$	1.22774	+	8.53911i	0.0441302	+	0.306932i
$775$	21.6866	+	10.1845i	0.779007	+	0.365839i
$776$	−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
$780$	4.76084	+	4.81182i	0.170465	+	0.172291i
$781$	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
$785$	−0.384735	−	5.81433i	−0.0137318	−	0.207522i
$786$	−1.83484	+	4.01773i	−0.0654464	+	0.143308i
$787$	−0.938143	−	3.19502i	−0.0334412	−	0.113890i	0.941081	−	0.338181i	$-0.109812\pi$
$787$	−0.938143	−	3.19502i	−0.0334412	−	0.113890i	−0.974522	+	0.224291i	$0.927993\pi$
$788$	−1.85057	+	0.845126i	−0.0659237	+	0.0301064i
$789$	7.50907	+	8.66593i	0.267330	+	0.308515i
$790$	−11.3109	−	30.8261i	−0.402423	−	1.09674i
$791$	−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
$795$	−6.97606	−	3.85759i	−0.247415	−	0.136815i
$796$	11.7565	+	3.45202i	0.416699	+	0.122354i
$797$	23.7722	−	3.41793i	0.842056	−	0.121069i	0.292230	−	0.956348i	$-0.405603\pi$
$797$	23.7722	−	3.41793i	0.842056	−	0.121069i	0.549827	+	0.835279i	$0.314694\pi$
$798$	6.01039	−	5.20803i	0.212766	−	0.184362i
$799$	25.0647	+	54.8841i	0.886726	+	1.94166i
$800$	3.23387	+	3.81341i	0.114334	+	0.134824i
$801$	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
$805$	−19.6749	+	11.9775i	−0.693449	+	0.422153i
$806$	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	−0.947410	−	0.320021i	$-0.896310\pi$
$809$	−2.42142	+	5.30216i	−0.0851325	+	0.186414i	0.862278	+	0.506436i	$0.169037\pi$
$810$	−10.0980	+	5.44432i	−0.354808	+	0.191294i
$811$	−11.1709	−	24.4608i	−0.392262	−	0.858935i	−0.997997	−	0.0632676i	$-0.979848\pi$
$811$	−11.1709	−	24.4608i	−0.392262	−	0.858935i	0.605734	−	0.795667i	$-0.292879\pi$
$812$	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
$815$	0.206492	−	0.373420i	0.00723311	−	0.0130803i
$816$	−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
$820$	−21.8630	+	8.02209i	−0.763489	+	0.280144i
$821$	20.3274	+	23.4591i	0.709432	+	0.818728i	0.989994	−	0.141108i	$-0.0450665\pi$
$821$	20.3274	+	23.4591i	0.709432	+	0.818728i	−0.280563	+	0.959836i	$0.590521\pi$
$822$	−3.86908	+	1.76695i	−0.134950	+	0.0616294i
$823$	12.2434	+	41.6971i	0.426777	+	1.45347i	0.839874	+	0.542782i	$0.182629\pi$
$823$	12.2434	+	41.6971i	0.426777	+	1.45347i	−0.413096	+	0.910687i	$0.635553\pi$
$824$	5.91967	−	12.9623i	0.206222	−	0.451562i
$825$	11.5843	−	3.26784i	0.403314	−	0.113772i
$826$	−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	$0.449873\pi$
$830$	−10.4100	−	10.5215i	−0.361337	−	0.365207i
$831$	−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
$835$	7.48872	+	5.66847i	0.259158	+	0.196166i
$836$	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	0.191098	−	0.981571i	$-0.438795\pi$
$839$	−18.0277	−	11.5857i	−0.622385	−	0.399983i	−0.813483	+	0.581588i	$0.802432\pi$
$840$	−3.02179	−	1.14544i	−0.104262	−	0.0395214i
$841$	−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
$845$	−13.0151	+	9.63521i	−0.447732	+	0.331461i
$846$	−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	−0.757455	−	0.652888i	$-0.773557\pi$
$853$	−30.2776	−	47.1128i	−1.03668	−	1.61311i	−0.279230	−	0.960224i	$-0.590079\pi$
$854$	2.09079	−	14.5418i	0.0715454	−	0.497609i
$855$	−30.5918	−	6.82568i	−1.04622	−	0.233433i
$856$	−3.77462	+	1.10833i	−0.129014	+	0.0378818i
$857$	28.9414	−	13.2171i	0.988618	−	0.451487i	0.145583	−	0.989346i	$-0.453494\pi$
$857$	28.9414	−	13.2171i	0.988618	−	0.451487i	0.843035	+	0.537859i	$0.180767\pi$
$858$	8.18523	−	7.09254i	0.279439	−	0.242135i
$859$	0.267029	+	1.85723i	0.00911090	+	0.0633677i	0.993870	−	0.110558i	$-0.0352638\pi$
$859$	0.267029	+	1.85723i	0.00911090	+	0.0633677i	−0.984759	+	0.173926i	$0.944355\pi$
$860$	7.55064	+	0.580469i	0.257475	+	0.0197938i
$861$	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	−0.336803	−	0.941575i	$-0.609346\pi$
$863$	19.3769	−	30.1510i	0.659597	−	1.02635i	0.996400	−	0.0847780i	$-0.0270181\pi$
$864$	2.44423	−	2.82079i	0.0831544	−	0.0959653i
$865$	28.6057	+	2.19912i	0.972624	+	0.0747722i
$866$	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
$870$	12.4514	+	2.77818i	0.422143	+	0.0941891i
$871$	−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	$-0.483781\pi$
$877$	−5.37700	−	0.773096i	−0.181568	−	0.0261056i	−0.232499	+	0.972597i	$0.574690\pi$
$878$	12.1093	+	5.53015i	0.408671	+	0.186634i
$879$	−6.70216	+	1.96793i	−0.226058	+	0.0663767i
$880$	6.42991	−	4.76014i	0.216752	−	0.160464i
$881$	15.7210	+	18.1430i	0.529655	+	0.611254i	0.956022	−	0.293296i	$-0.0947522\pi$
$881$	15.7210	+	18.1430i	0.529655	+	0.611254i	−0.426367	+	0.904550i	$0.640207\pi$
$882$	6.01699	−	0.865113i	0.202603	−	0.0291299i
$883$	14.1070	−	48.0442i	0.474740	−	1.61681i	−0.279452	−	0.960160i	$-0.590153\pi$
$883$	14.1070	−	48.0442i	0.474740	−	1.61681i	0.754191	−	0.656655i	$-0.228029\pi$
$884$	16.6058	−	19.1641i	0.558512	−	0.644557i
$885$	−2.70488	−	1.02531i	−0.0909235	−	0.0344654i
$886$	33.4847	+	21.5193i	1.12494	+	0.722956i
$887$	−0.904125	−	0.783429i	−0.0303576	−	0.0263050i	0.639550	−	0.768750i	$-0.279121\pi$
$887$	−0.904125	−	0.783429i	−0.0303576	−	0.0263050i	−0.669907	+	0.742445i	$0.733666\pi$
$888$	1.58000	−	5.38098i	0.0530212	−	0.180574i
$889$	−0.647681	−	4.50472i	−0.0217225	−	0.151083i
$890$	−7.79404	−	5.89958i	−0.261257	−	0.197754i
$891$	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
$895$	29.6778	+	29.9956i	0.992019	+	1.00264i
$896$	−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
$900$	3.45789	+	12.2580i	0.115263	+	0.408601i
$901$	−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
$905$	−6.61738	+	2.42809i	−0.219969	+	0.0807123i
$906$	−11.1734	−	3.28082i	−0.371213	−	0.108998i
$907$	1.47406	+	1.27728i	0.0489455	+	0.0424115i	0.678990	−	0.734147i	$-0.262418\pi$
$907$	1.47406	+	1.27728i	0.0489455	+	0.0424115i	−0.630045	+	0.776559i	$0.716963\pi$
$908$	−7.65865	+	11.9171i	−0.254161	+	0.395483i
$909$	27.4414	+	17.6355i	0.910174	+	0.584933i
$910$	10.4569	−	18.9102i	0.346641	−	0.626866i
$911$	−37.6676	−	11.0602i	−1.24798	−	0.366441i	−0.409974	−	0.912097i	$-0.634462\pi$
$911$	−37.6676	−	11.0602i	−1.24798	−	0.366441i	−0.838009	+	0.545656i	$0.816280\pi$
$912$	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
$915$	9.05794	−	4.88356i	0.299446	−	0.161446i
$916$	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	$0.589710\pi$
$920$	−10.7206	−	0.261141i	−0.353449	−	0.00860955i
$921$	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
$925$	26.9543	+	31.7848i	0.886253	+	1.04508i
$926$	−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	−0.340817	−	0.940130i	$-0.610704\pi$
$929$	−34.6187	−	10.1650i	−1.13580	−	0.333502i	−0.794986	+	0.606628i	$0.792522\pi$
$930$	−6.30902	−	3.48873i	−0.206881	−	0.114400i
$931$	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
$935$	−15.5322	−	42.3306i	−0.507957	−	1.38436i
$936$	7.50503	+	8.66127i	0.245310	+	0.283102i
$937$	−8.47312	+	3.86954i	−0.276805	+	0.126412i	−0.548981	−	0.835835i	$-0.684984\pi$
$937$	−8.47312	+	3.86954i	−0.276805	+	0.126412i	0.272176	+	0.962247i	$0.412257\pi$
$938$	−0.520194	−	1.77162i	−0.0169849	−	0.0578453i
$939$	−2.65194	+	5.80693i	−0.0865427	+	0.189502i
$940$	1.58050	+	23.8854i	0.0515503	+	0.779057i
$941$	−48.2646	+	31.0178i	−1.57338	+	1.01115i	−0.595153	+	0.803612i	$0.702909\pi$
$941$	−48.2646	+	31.0178i	−1.57338	+	1.01115i	−0.978227	+	0.207538i	$0.933455\pi$
$942$			1.75338i			0.0571283i
$943$	18.3422	−	46.4580i	0.597305	−	1.51288i
$944$	−1.92266			−0.0625774
$945$	−12.6083	−	12.7433i	−0.410149	−	0.414541i
$946$	1.72442	−	11.9936i	0.0560657	−	0.389945i
$947$	−50.7170	−	23.1617i	−1.64808	−	0.752653i	−0.648120	−	0.761538i	$-0.724445\pi$
$947$	−50.7170	−	23.1617i	−1.64808	−	0.752653i	−0.999961	+	0.00888487i	$0.997172\pi$
$948$	2.78363	+	9.48017i	0.0904081	+	0.307902i
$949$	−11.8799	−	26.0132i	−0.385636	−	0.844426i
$950$	−11.6959	+	24.9049i	−0.379465	+	0.808023i
$951$	−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	$-0.205452\pi$
$953$	9.78866	+	8.48192i	0.317086	+	0.274756i	−0.481746	+	0.876311i	$0.659997\pi$
$954$	−11.3541	−	7.29682i	−0.367602	−	0.236243i
$955$	−0.111978	+	0.295410i	−0.00362353	+	0.00955925i
$956$	−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
$960$	−0.895197	−	1.20921i	−0.0288924	−	0.0390272i
$961$	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
$970$	−11.7520	−	2.62212i	−0.377334	−	0.0841912i
$971$	−50.8163	+	14.9210i	−1.63077	+	0.478838i	−0.963885	−	0.266319i	$-0.914192\pi$
$971$	−50.8163	+	14.9210i	−1.63077	+	0.478838i	−0.666889	+	0.745157i	$0.732374\pi$
$972$	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
$975$	15.0040	−	1.99436i	0.480511	−	0.0638707i
$976$	4.47909	−	5.16914i	0.143372	−	0.165460i
$977$	21.8050	−	33.9293i	0.697605	−	1.08549i	−0.293952	−	0.955820i	$-0.594971\pi$
$977$	21.8050	−	33.9293i	0.697605	−	1.08549i	0.991557	−	0.129674i	$-0.0413930\pi$
$978$	−0.0694177	+	0.108016i	−0.00221973	+	0.00345397i
$979$	−10.2423	+	11.8203i	−0.327346	+	0.377777i
$980$	0.409021	−	5.32048i	0.0130657	−	0.169956i
$981$	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	$-0.534019\pi$
$983$	18.0252	−	8.23184i	0.574915	−	0.262555i	0.681584	+	0.731740i	$0.261291\pi$
$984$	6.72368	−	1.97425i	0.214343	−	0.0629368i
$985$	−0.990639	+	4.43991i	−0.0315644	+	0.141467i
$986$	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	−0.972890	−	0.231267i	$-0.925713\pi$
$991$	−36.7271	+	23.6031i	−1.16668	+	0.749777i	−0.193786	+	0.981044i	$0.562077\pi$
$992$	−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
$995$	22.0205	−	16.3021i	0.698097	−	0.516810i
$996$	2.91654	+	3.36587i	0.0924142	+	0.106652i
$997$	9.25208	−	1.33025i	0.293016	−	0.0421294i	0.00576084	−	0.999983i	$-0.498166\pi$
$997$	9.25208	−	1.33025i	0.293016	−	0.0421294i	0.287255	+	0.957854i	$0.407257\pi$
$998$	−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.219.9	yes	120
5.4	even	2	inner	230.2.j.a.219.4	yes	120
23.2	even	11	inner	230.2.j.a.209.4	✓	120
115.94	even	22	inner	230.2.j.a.209.9	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.209.4	✓	120	23.2	even	11	inner
230.2.j.a.209.9	yes	120	115.94	even	22	inner
230.2.j.a.219.4	yes	120	5.4	even	2	inner
230.2.j.a.219.9	yes	120	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(0.540641 + 0.841254i) q^{2} +(-0.665993 - 0.0957553i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.06117 + 1.96823i) q^{5} +(-0.279508 - 0.612038i) q^{6} +(-1.62329 + 1.40659i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.44410 - 0.717653i) q^{9} +O(q^{10})\)	\(q+(0.540641 + 0.841254i) q^{2} +(-0.665993 - 0.0957553i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(1.06117 + 1.96823i) 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} +(-1.08207 + 1.95681i) 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} +(-0.518260 - 1.41244i) 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} +(-2.23119 + 0.147638i) q^{20} +(1.21579 - 0.781342i) q^{21} +3.57778i q^{22} +(2.94656 - 3.78388i) q^{23} +0.672842 q^{24} +(-2.74786 + 4.17724i) 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} +(0.908027 - 1.19961i) 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} +(-4.49108 - 1.70239i) 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} +(-1.33047 - 1.79718i) 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} +(-4.99972 - 0.0532591i) 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} +(-0.613217 + 7.97663i) 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} +(1.50009 + 0.115322i) 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} +(-2.19080 + 9.81887i) 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} +(2.23004 - 2.51889i) 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} +(0.792573 - 2.09089i) 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} +(-10.0487 - 7.60623i) 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} +(4.04900 - 4.00610i) q^{90} -9.66375 q^{91} +(2.21789 + 4.25217i) q^{92} +3.22413i q^{93} +(9.00583 - 5.78770i) q^{94} +(12.2780 - 0.812439i) 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

Related objects

Downloads

Learn more