LMFDB - Embedded newform 966.2.r.b.113.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(113,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 13]))

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

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

chi := DirichletCharacter("966.113");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.r (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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$24$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			113.20
Character	$\chi$	$=$	966.113
Dual form			966.2.r.b.701.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 - 0.841254i) q^{2} +(0.471039 + 1.66677i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.959405 - 0.281707i) q^{5} +(1.65684 + 0.504861i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.55625 + 1.57023i) q^{9} +O(q^{10})$	\(q+(0.540641 - 0.841254i) q^{2} +(0.471039 + 1.66677i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.959405 - 0.281707i) q^{5} +(1.65684 + 0.504861i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.55625 + 1.57023i) q^{9} +(-0.755680 + 0.654801i) q^{10} +(3.62499 - 2.32964i) q^{11} +(1.32047 - 1.12087i) q^{12} +(-3.18776 - 3.67888i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(0.0176236 - 1.73180i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.322927 - 0.707112i) q^{17} +(-0.0610522 + 2.99938i) q^{18} +(7.23962 - 3.30622i) q^{19} +(0.142302 + 0.989731i) q^{20} +(0.735515 - 1.56813i) q^{21} -4.30904i q^{22} +(3.74539 - 2.99534i) q^{23} +(-0.229038 - 1.71684i) q^{24} +(-3.36517 - 2.16266i) q^{25} +(-4.81830 + 0.692767i) q^{26} +(-3.82130 - 3.52104i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(9.19611 + 4.19972i) q^{29} +(-1.44736 - 0.951109i) q^{30} +(0.535549 - 3.72483i) q^{31} +(0.281733 + 0.959493i) q^{32} +(5.59049 + 4.94468i) q^{33} +(-0.420273 - 0.653957i) q^{34} +(0.540591 + 0.841176i) q^{35} +(2.49023 + 1.67295i) q^{36} +(1.38869 + 4.72944i) q^{37} +(1.13266 - 7.87784i) q^{38} +(4.63028 - 7.04616i) q^{39} +(0.909549 + 0.415377i) q^{40} +(2.20095 - 7.49575i) q^{41} +(-0.921542 - 1.46655i) q^{42} +(-6.16861 + 0.886913i) q^{43} +(-3.62499 - 2.32964i) q^{44} +(2.89482 - 0.786371i) q^{45} +(-0.494929 - 4.77022i) q^{46} +2.91026i q^{47} +(-1.56813 - 0.735515i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-3.63869 + 1.66174i) q^{50} +(1.33070 + 0.205168i) q^{51} +(-2.02218 + 4.42795i) q^{52} +(-4.09805 + 4.72941i) q^{53} +(-5.02803 + 1.31106i) q^{54} +(-4.13411 + 1.21388i) q^{55} +(0.654861 + 0.755750i) q^{56} +(8.92086 + 10.5094i) q^{57} +(8.50482 - 5.46572i) q^{58} +(3.22626 - 2.79557i) q^{59} +(-1.58262 + 0.703386i) q^{60} +(-8.21329 - 1.18089i) q^{61} +(-2.84399 - 2.46433i) q^{62} +(2.96016 + 0.487287i) q^{63} +(0.959493 + 0.281733i) q^{64} +(2.02199 + 4.42755i) q^{65} +(7.18217 - 2.02972i) q^{66} +(4.34182 - 6.75601i) q^{67} -0.777361 q^{68} +(6.75676 + 4.83178i) q^{69} +0.999908 q^{70} +(-5.62739 + 8.75639i) q^{71} +(2.75369 - 1.19045i) q^{72} +(-2.72659 - 5.97040i) q^{73} +(4.72944 + 1.38869i) q^{74} +(2.01954 - 6.62766i) q^{75} +(-6.01490 - 5.21194i) q^{76} +(-4.26518 - 0.613240i) q^{77} +(-3.42429 - 7.70468i) q^{78} +(1.47361 - 1.27689i) q^{79} +(0.841176 - 0.540591i) q^{80} +(4.06878 - 8.02777i) q^{81} +(-5.11590 - 5.90407i) q^{82} +(-2.03155 + 0.596517i) q^{83} +(-1.73196 - 0.0176252i) q^{84} +(-0.509016 + 0.587436i) q^{85} +(-2.58889 + 5.66887i) q^{86} +(-2.66825 + 17.3060i) q^{87} +(-3.91964 + 1.79004i) q^{88} +(-1.91581 - 13.3248i) q^{89} +(0.903519 - 2.86042i) q^{90} +4.86785i q^{91} +(-4.28055 - 2.16262i) q^{92} +(6.46070 - 0.861900i) q^{93} +(2.44826 + 1.57340i) q^{94} +(-7.87712 + 1.13256i) q^{95} +(-1.46655 + 0.921542i) q^{96} +(-0.818711 + 2.78827i) q^{97} +(0.909632 + 0.415415i) q^{98} +(-5.60831 + 11.6472i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	$ 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) $ 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$1$	$e\left(\frac{13}{22}\right)$

Coefficient data

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

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

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

$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$2$	0.540641	−	0.841254i	0.382291	−	0.594856i
$3$	0.471039	+	1.66677i	0.271954	+	0.962310i
$3$	0.471039	+	1.66677i	0.271954	+	0.962310i
$4$	−0.415415	−	0.909632i	−0.207708	−	0.454816i
$5$	−0.959405	−	0.281707i	−0.429059	−	0.125983i	0.0600708	−	0.998194i	$-0.480867\pi$
$5$	−0.959405	−	0.281707i	−0.429059	−	0.125983i	−0.489130	+	0.872211i	$0.662686\pi$
$6$	1.65684	+	0.504861i	0.676402	+	0.206109i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$7$	−0.755750	−	0.654861i	−0.285646	−	0.247514i
$8$	−0.989821	−	0.142315i	−0.349955	−	0.0503159i
$9$	−2.55625	+	1.57023i	−0.852082	+	0.523409i
$10$	−0.755680	+	0.654801i	−0.238967	+	0.207066i
$11$	3.62499	−	2.32964i	1.09298	−	0.702413i	0.135457	−	0.990783i	$-0.456750\pi$
$11$	3.62499	−	2.32964i	1.09298	−	0.702413i	0.957519	+	0.288370i	$0.0931133\pi$
$12$	1.32047	−	1.12087i	0.381187	−	0.323568i
$13$	−3.18776	−	3.67888i	−0.884127	−	1.02034i	−0.999635	−	0.0270300i	$-0.991395\pi$
$13$	−3.18776	−	3.67888i	−0.884127	−	1.02034i	0.115508	−	0.993307i	$-0.463150\pi$
$14$	−0.959493	+	0.281733i	−0.256435	+	0.0752962i
$15$	0.0176236	−	1.73180i	0.00455038	−	0.447149i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	0.322927	−	0.707112i	0.0783214	−	0.171500i	−0.866421	−	0.499315i	$-0.833585\pi$
$17$	0.322927	−	0.707112i	0.0783214	−	0.171500i	0.944742	+	0.327815i	$0.106312\pi$
$18$	−0.0610522	+	2.99938i	−0.0143901	+	0.706960i
$19$	7.23962	−	3.30622i	1.66088	−	0.758500i	0.660916	−	0.750460i	$-0.270168\pi$
$19$	7.23962	−	3.30622i	1.66088	−	0.758500i	0.999968	−	0.00803965i	$-0.00255913\pi$
$20$	0.142302	+	0.989731i	0.0318196	+	0.221311i
$21$	0.735515	−	1.56813i	0.160503	−	0.342193i
$22$		−	4.30904i		−	0.918690i
$23$	3.74539	−	2.99534i	0.780968	−	0.624571i
$23$	3.74539	−	2.99534i	0.780968	−	0.624571i
$24$	−0.229038	−	1.71684i	−0.0467522	−	0.350449i
$25$	−3.36517	−	2.16266i	−0.673034	−	0.432532i
$26$	−4.81830	+	0.692767i	−0.944947	+	0.135863i
$27$	−3.82130	−	3.52104i	−0.735409	−	0.677624i
$28$	−0.281733	+	0.959493i	−0.0532424	+	0.181327i
$29$	9.19611	+	4.19972i	1.70767	+	0.779869i	0.997088	+	0.0762581i	$0.0242973\pi$
$29$	9.19611	+	4.19972i	1.70767	+	0.779869i	0.710586	+	0.703610i	$0.248430\pi$
$30$	−1.44736	−	0.951109i	−0.264250	−	0.173648i
$31$	0.535549	−	3.72483i	0.0961875	−	0.668999i	−0.883494	−	0.468442i	$-0.844816\pi$
$31$	0.535549	−	3.72483i	0.0961875	−	0.668999i	0.979682	−	0.200557i	$-0.0642753\pi$
$32$	0.281733	+	0.959493i	0.0498038	+	0.169616i
$33$	5.59049	+	4.94468i	0.973179	+	0.860758i
$34$	−0.420273	−	0.653957i	−0.0720762	−	0.112153i
$35$	0.540591	+	0.841176i	0.0913766	+	0.142185i
$36$	2.49023	+	1.67295i	0.415038	+	0.278824i
$37$	1.38869	+	4.72944i	0.228299	+	0.777515i	0.991358	+	0.131186i	$0.0418784\pi$
$37$	1.38869	+	4.72944i	0.228299	+	0.777515i	−0.763059	+	0.646329i	$0.776303\pi$
$38$	1.13266	−	7.87784i	0.183742	−	1.27795i
$39$	4.63028	−	7.04616i	0.741438	−	1.12829i
$40$	0.909549	+	0.415377i	0.143812	+	0.0656769i
$41$	2.20095	−	7.49575i	0.343731	−	1.17064i	−0.588416	−	0.808559i	$-0.700248\pi$
$41$	2.20095	−	7.49575i	0.343731	−	1.17064i	0.932147	−	0.362081i	$-0.117934\pi$
$42$	−0.921542	−	1.46655i	−0.142197	−	0.226293i
$43$	−6.16861	+	0.886913i	−0.940705	+	0.135253i	−0.595573	−	0.803301i	$-0.703075\pi$
$43$	−6.16861	+	0.886913i	−0.940705	+	0.135253i	−0.345132	+	0.938554i	$0.612166\pi$
$44$	−3.62499	−	2.32964i	−0.546488	−	0.351207i
$45$	2.89482	−	0.786371i	0.431534	−	0.117225i
$46$	−0.494929	−	4.77022i	−0.0729733	−	0.703331i
$47$			2.91026i			0.424505i	0.977215	+	0.212252i	$0.0680799\pi$
$47$			2.91026i			0.424505i	−0.977215	+	0.212252i	$0.931920\pi$
$48$	−1.56813	−	0.735515i	−0.226339	−	0.106162i
$49$	0.142315	+	0.989821i	0.0203307	+	0.141403i
$50$	−3.63869	+	1.66174i	−0.514589	+	0.235005i
$51$	1.33070	+	0.205168i	0.186336	+	0.0287293i
$52$	−2.02218	+	4.42795i	−0.280426	+	0.614046i
$53$	−4.09805	+	4.72941i	−0.562911	+	0.649634i	−0.963842	−	0.266474i	$-0.914141\pi$
$53$	−4.09805	+	4.72941i	−0.562911	+	0.649634i	0.400931	+	0.916108i	$0.368687\pi$
$54$	−5.02803	+	1.31106i	−0.684229	+	0.178413i
$55$	−4.13411	+	1.21388i	−0.557443	+	0.163680i
$56$	0.654861	+	0.755750i	0.0875094	+	0.100991i
$57$	8.92086	+	10.5094i	1.18160	+	1.39201i
$58$	8.50482	−	5.46572i	1.11674	−	0.717684i
$59$	3.22626	−	2.79557i	0.420023	−	0.363952i	−0.419057	−	0.907960i	$-0.637639\pi$
$59$	3.22626	−	2.79557i	0.420023	−	0.363952i	0.839080	+	0.544008i	$0.183094\pi$
$60$	−1.58262	+	0.703386i	−0.204316	+	0.0908067i
$61$	−8.21329	−	1.18089i	−1.05160	−	0.151198i	−0.405227	−	0.914216i	$-0.632807\pi$
$61$	−8.21329	−	1.18089i	−1.05160	−	0.151198i	−0.646377	+	0.763018i	$0.723717\pi$
$62$	−2.84399	−	2.46433i	−0.361186	−	0.312970i
$63$	2.96016	+	0.487287i	0.372945	+	0.0613924i
$64$	0.959493	+	0.281733i	0.119937	+	0.0352166i
$65$	2.02199	+	4.42755i	0.250797	+	0.549170i
$66$	7.18217	−	2.02972i	0.884064	−	0.249842i
$67$	4.34182	−	6.75601i	0.530438	−	0.825378i	−0.467853	−	0.883806i	$-0.654972\pi$
$67$	4.34182	−	6.75601i	0.530438	−	0.825378i	0.998292	+	0.0584281i	$0.0186088\pi$
$68$	−0.777361			−0.0942688
$69$	6.75676	+	4.83178i	0.813419	+	0.581678i
$70$	0.999908			0.119512
$71$	−5.62739	+	8.75639i	−0.667848	+	1.03919i	0.327686	+	0.944787i	$0.393731\pi$
$71$	−5.62739	+	8.75639i	−0.667848	+	1.03919i	−0.995534	+	0.0944053i	$0.969905\pi$
$72$	2.75369	−	1.19045i	0.324526	−	0.140296i
$73$	−2.72659	−	5.97040i	−0.319123	−	0.698783i	0.680293	−	0.732940i	$-0.261853\pi$
$73$	−2.72659	−	5.97040i	−0.319123	−	0.698783i	−0.999416	+	0.0341575i	$0.989125\pi$
$74$	4.72944	+	1.38869i	0.549786	+	0.161432i
$75$	2.01954	−	6.62766i	0.233196	−	0.765296i
$76$	−6.01490	−	5.21194i	−0.689956	−	0.597850i
$77$	−4.26518	−	0.613240i	−0.486062	−	0.0698852i
$78$	−3.42429	−	7.70468i	−0.387725	−	0.872383i
$79$	1.47361	−	1.27689i	0.165795	−	0.143662i	−0.568012	−	0.823020i	$-0.692287\pi$
$79$	1.47361	−	1.27689i	0.165795	−	0.143662i	0.733807	+	0.679358i	$0.237742\pi$
$80$	0.841176	−	0.540591i	0.0940464	−	0.0604399i
$81$	4.06878	−	8.02777i	0.452087	−	0.891974i
$82$	−5.11590	−	5.90407i	−0.564957	−	0.651995i
$83$	−2.03155	+	0.596517i	−0.222992	+	0.0654762i	−0.391320	−	0.920255i	$-0.627981\pi$
$83$	−2.03155	+	0.596517i	−0.222992	+	0.0654762i	0.168328	+	0.985731i	$0.446163\pi$
$84$	−1.73196	−	0.0176252i	−0.188972	−	0.00192306i
$85$	−0.509016	+	0.587436i	−0.0552106	+	0.0637164i
$86$	−2.58889	+	5.66887i	−0.279167	+	0.611290i
$87$	−2.66825	+	17.3060i	−0.286066	+	1.85540i
$88$	−3.91964	+	1.79004i	−0.417835	+	0.190819i
$89$	−1.91581	−	13.3248i	−0.203076	−	1.41242i	−0.795089	−	0.606493i	$-0.792576\pi$
$89$	−1.91581	−	13.3248i	−0.203076	−	1.41242i	0.592013	−	0.805928i	$-0.298333\pi$
$90$	0.903519	−	2.86042i	0.0952393	−	0.301515i
$91$			4.86785i			0.510289i
$92$	−4.28055	−	2.16262i	−0.446278	−	0.225468i
$93$	6.46070	−	0.861900i	0.669943	−	0.0893749i
$94$	2.44826	+	1.57340i	0.252519	+	0.162284i
$95$	−7.87712	+	1.13256i	−0.808175	+	0.116198i
$96$	−1.46655	+	0.921542i	−0.149679	+	0.0940545i
$97$	−0.818711	+	2.78827i	−0.0831275	+	0.283106i	−0.990558	−	0.137097i	$-0.956223\pi$
$97$	−0.818711	+	2.78827i	−0.0831275	+	0.283106i	0.907430	+	0.420203i	$0.138041\pi$
$98$	0.909632	+	0.415415i	0.0918867	+	0.0419633i
$99$	−5.60831	+	11.6472i	−0.563656	+	1.17059i
$100$	−0.569285	+	3.95947i	−0.0569285	+	0.395947i
$101$	−3.15932	−	10.7597i	−0.314364	−	1.07063i	−0.953465	−	0.301503i	$-0.902512\pi$
$101$	−3.15932	−	10.7597i	−0.314364	−	1.07063i	0.639101	−	0.769123i	$-0.279306\pi$
$102$	0.892032	−	1.00854i	0.0883243	−	0.0998601i
$103$	1.23586	+	1.92303i	0.121772	+	0.189482i	0.896788	−	0.442461i	$-0.145894\pi$
$103$	1.23586	+	1.92303i	0.121772	+	0.189482i	−0.775015	+	0.631942i	$0.782258\pi$
$104$	2.63176	+	4.09510i	0.258065	+	0.401557i
$105$	−1.14741	+	1.29727i	−0.111976	+	0.126600i
$106$	1.76305	+	6.00441i	0.171243	+	0.583200i
$107$	−0.242111	+	1.68392i	−0.0234058	+	0.162791i	−0.998172	−	0.0604375i	$-0.980750\pi$
$107$	−0.242111	+	1.68392i	−0.0234058	+	0.162791i	0.974766	+	0.223228i	$0.0716595\pi$
$108$	−1.61542	+	4.93866i	−0.155444	+	0.475223i
$109$	12.8690	+	5.87706i	1.23262	+	0.562921i	0.921844	−	0.387561i	$-0.126682\pi$
$109$	12.8690	+	5.87706i	1.23262	+	0.562921i	0.310780	+	0.950482i	$0.399410\pi$
$110$	−1.21388	+	4.13411i	−0.115739	+	0.394172i
$111$	−7.22876	+	4.54237i	−0.686123	+	0.431143i
$112$	0.989821	−	0.142315i	0.0935293	−	0.0134475i
$113$	8.83749	+	5.67951i	0.831361	+	0.534284i	0.885710	−	0.464238i	$-0.153672\pi$
$113$	8.83749	+	5.67951i	0.831361	+	0.534284i	−0.0543488	+	0.998522i	$0.517308\pi$
$114$	13.6641	−	1.82288i	1.27976	−	0.170728i
$115$	−4.43715	+	1.81864i	−0.413767	+	0.169589i
$116$		−	10.1097i		−	0.938662i
$117$	13.9254	+	4.39860i	1.28740	+	0.406651i
$118$	−0.607535	−	4.22550i	−0.0559282	−	0.388989i
$119$	−0.707112	+	0.322927i	−0.0648209	+	0.0296027i
$120$	−0.263905	+	1.71167i	−0.0240912	+	0.156253i
$121$	3.14377	−	6.88391i	0.285798	−	0.625810i
$122$	−5.43387	+	6.27102i	−0.491959	+	0.567751i
$123$	13.5304	+	0.137691i	1.22000	+	0.0124152i
$124$	−3.61070	+	1.06020i	−0.324250	+	0.0952085i
$125$	5.89333	+	6.80126i	0.527115	+	0.608323i
$126$	2.01032	−	2.22680i	0.179093	−	0.198379i
$127$	−18.6017	+	11.9546i	−1.65064	+	1.06080i	−0.720589	+	0.693362i	$0.756129\pi$
$127$	−18.6017	+	11.9546i	−1.65064	+	1.06080i	−0.930048	+	0.367438i	$0.880235\pi$
$128$	0.755750	−	0.654861i	0.0667995	−	0.0578821i
$129$	−4.38394	−	9.86389i	−0.385984	−	0.868467i
$130$	4.81786	+	0.692704i	0.422554	+	0.0607541i
$131$	1.94498	+	1.68533i	0.169934	+	0.147248i	0.735676	−	0.677334i	$-0.236865\pi$
$131$	1.94498	+	1.68533i	0.169934	+	0.147248i	−0.565742	+	0.824582i	$0.691410\pi$
$132$	2.17546	−	7.13938i	0.189350	−	0.621403i
$133$	−7.63646	−	2.24227i	−0.662165	−	0.194429i
$134$	−3.33615	−	7.30515i	−0.288199	−	0.631069i
$135$	2.67427	+	4.45458i	0.230165	+	0.383390i
$136$	−0.420273	+	0.653957i	−0.0360381	+	0.0560764i
$137$	−8.49661			−0.725914			−0.362957	−	0.931806i	$-0.618233\pi$
$137$	−8.49661			−0.725914			−0.362957	+	0.931806i	$0.618233\pi$
$138$	7.71774	−	3.07189i	0.656977	−	0.261497i
$139$	−0.950218			−0.0805965			−0.0402982	−	0.999188i	$-0.512831\pi$
$139$	−0.950218			−0.0805965			−0.0402982	+	0.999188i	$0.512831\pi$
$140$	0.540591	−	0.841176i	0.0456883	−	0.0710924i
$141$	−4.85073	+	1.37084i	−0.408505	+	0.115446i
$142$	4.32395	+	9.46812i	0.362858	+	0.794547i
$143$	−20.1261	−	5.90955i	−1.68303	−	0.494181i
$144$	0.487287	−	2.96016i	0.0406072	−	0.246680i
$145$	−7.63970	−	6.61984i	−0.634443	−	0.549748i
$146$	−6.49673	−	0.934089i	−0.537673	−	0.0773057i
$147$	−1.58277	+	0.703450i	−0.130545	+	0.0580196i
$148$	3.72517	−	3.22787i	0.306207	−	0.265330i
$149$	16.4795	−	10.5907i	1.35005	−	0.867626i	0.352382	−	0.935856i	$-0.385372\pi$
$149$	16.4795	−	10.5907i	1.35005	−	0.867626i	0.997670	+	0.0682307i	$0.0217354\pi$
$150$	−4.48370	−	5.28213i	−0.366092	−	0.431284i
$151$	−5.22200	−	6.02650i	−0.424960	−	0.490430i	0.502382	−	0.864646i	$-0.332457\pi$
$151$	−5.22200	−	6.02650i	−0.424960	−	0.490430i	−0.927342	+	0.374216i	$0.877912\pi$
$152$	−7.63646	+	2.24227i	−0.619399	+	0.181872i
$153$	0.284845	+	2.31462i	0.0230283	+	0.187126i
$154$	−2.82182	+	3.25655i	−0.227389	+	0.262420i
$155$	−1.56312	+	3.42275i	−0.125553	+	0.274922i
$156$	−8.33290	−	1.28477i	−0.667166	−	0.102864i
$157$	−11.0189	+	5.03217i	−0.879406	+	0.401611i	−0.803360	−	0.595493i	$-0.796957\pi$
$157$	−11.0189	+	5.03217i	−0.879406	+	0.401611i	−0.0760456	+	0.997104i	$0.524229\pi$
$158$	−0.277496	−	1.93003i	−0.0220764	−	0.153545i
$159$	−9.81318	−	4.60278i	−0.778236	−	0.365024i
$160$		−	0.999908i		−	0.0790497i
$161$	−4.79211	−	0.188983i	−0.377671	−	0.0148939i
$162$	−4.55364	−	7.76301i	−0.357768	−	0.609920i
$163$	10.5846	+	6.80234i	0.829053	+	0.532800i	0.884977	−	0.465635i	$-0.154174\pi$
$163$	10.5846	+	6.80234i	0.829053	+	0.532800i	−0.0559237	+	0.998435i	$0.517810\pi$
$164$	−7.73268	+	1.11179i	−0.603821	+	0.0868164i
$165$	−3.97059	−	6.31883i	−0.309110	−	0.491920i
$166$	−0.596517	+	2.03155i	−0.0462987	+	0.157679i
$167$	16.6190	+	7.58964i	1.28602	+	0.587304i	0.936842	−	0.349754i	$-0.113735\pi$
$167$	16.6190	+	7.58964i	1.28602	+	0.587304i	0.349174	+	0.937058i	$0.386462\pi$
$168$	−0.951196	+	1.44749i	−0.0733864	+	0.111676i
$169$	−1.52219	+	10.5871i	−0.117092	+	0.814392i
$170$	0.218988	+	0.745804i	0.0167956	+	0.0572005i
$171$	−13.3147	+	19.8194i	−1.01820	+	1.51562i
$172$	3.36930	+	5.24273i	0.256907	+	0.399755i
$173$	7.23421	+	11.2567i	0.550007	+	0.855827i	0.999294	−	0.0375598i	$-0.0119585\pi$
$173$	7.23421	+	11.2567i	0.550007	+	0.855827i	−0.449287	+	0.893387i	$0.648322\pi$
$174$	13.1162	+	11.6010i	0.994336	+	0.879471i
$175$	1.12698	+	3.83815i	0.0851918	+	0.290137i
$176$	−0.613240	+	4.26518i	−0.0462247	+	0.321500i
$177$	6.17927	+	4.06061i	0.464462	+	0.305214i
$178$	−12.2453	−	5.59223i	−0.917822	−	0.419155i
$179$	1.73332	−	5.90314i	0.129554	−	0.441221i	−0.869010	−	0.494795i	$-0.835243\pi$
$179$	1.73332	−	5.90314i	0.129554	−	0.441221i	0.998564	+	0.0535740i	$0.0170613\pi$
$180$	−1.91786	−	2.30655i	−0.142949	−	0.171920i
$181$	−25.6989	+	3.69494i	−1.91018	+	0.274643i	−0.992459	−	0.122575i	$-0.960885\pi$
$181$	−25.6989	+	3.69494i	−1.91018	+	0.274643i	−0.917724	+	0.397218i	$0.869976\pi$
$182$	4.09510	+	2.63176i	0.303549	+	0.195079i
$183$	−1.90050	−	14.2459i	−0.140489	−	1.05309i
$184$	−4.13355	+	2.43183i	−0.304729	+	0.179277i
$185$		−	4.92865i		−	0.362361i
$186$	2.76784	−	5.90106i	0.202948	−	0.432687i
$187$	−0.476708	−	3.31558i	−0.0348604	−	0.242459i
$188$	2.64726	−	1.20896i	0.193072	−	0.0881728i
$189$	0.582155	+	5.16344i	0.0423455	+	0.375585i
$190$	−3.30592	+	7.23896i	−0.239837	+	0.525169i
$191$	−11.7489	+	13.5589i	−0.850118	+	0.981088i	−0.999971	−	0.00762017i	$-0.997574\pi$
$191$	−11.7489	+	13.5589i	−0.850118	+	0.981088i	0.149853	+	0.988708i	$0.452120\pi$
$192$	−0.0176252	+	1.73196i	−0.00127199	+	0.124994i
$193$	−1.22114	+	0.358560i	−0.0878998	+	0.0258097i	−0.325387	−	0.945581i	$-0.605494\pi$
$193$	−1.22114	+	0.358560i	−0.0878998	+	0.0258097i	0.237487	+	0.971391i	$0.423676\pi$
$194$	1.90302	+	2.19620i	0.136629	+	0.157678i
$195$	−6.42727	+	5.45574i	−0.460266	+	0.390694i
$196$	0.841254	−	0.540641i	0.0600895	−	0.0386172i
$197$	−6.38265	+	5.53060i	−0.454745	+	0.394039i	−0.851893	−	0.523716i	$-0.824545\pi$
$197$	−6.38265	+	5.53060i	−0.454745	+	0.394039i	0.397148	+	0.917755i	$0.370000\pi$
$198$	6.76616	+	11.0150i	0.480850	+	0.782799i
$199$	−6.47493	−	0.930955i	−0.458996	−	0.0659936i	−0.0910612	−	0.995845i	$-0.529026\pi$
$199$	−6.47493	−	0.930955i	−0.458996	−	0.0659936i	−0.367935	+	0.929852i	$0.619935\pi$
$200$	3.02314	+	2.61956i	0.213768	+	0.185231i
$201$	13.3059	+	4.05448i	0.938525	+	0.285981i
$202$	−10.7597	−	3.15932i	−0.757046	−	0.222289i
$203$	−4.19972	−	9.19611i	−0.294763	−	0.645440i
$204$	−0.366167	−	1.29568i	−0.0256368	−	0.0907158i
$205$	−4.22321	+	6.57144i	−0.294962	+	0.458969i
$206$	2.28591			0.159267
$207$	−4.87078	+	13.5379i	−0.338542	+	0.940951i
$208$	4.86785			0.337525
$209$	18.5413	−	28.8508i	1.28253	−	1.99565i
$210$	0.470995	+	1.66662i	0.0325018	+	0.115008i
$211$	8.20862	+	17.9744i	0.565105	+	1.23741i	0.949363	+	0.314182i	$0.101730\pi$
$211$	8.20862	+	17.9744i	0.565105	+	1.23741i	−0.384258	+	0.923226i	$0.625543\pi$
$212$	6.00441	+	1.76305i	0.412385	+	0.121087i
$213$	−17.2456	−	5.25497i	−1.18165	−	0.360064i
$214$	1.28571	+	1.11407i	0.0878892	+	0.0761564i
$215$	6.16805	+	0.886832i	0.420657	+	0.0604814i
$216$	3.28131	+	4.02902i	0.223265	+	0.274140i
$217$	−2.84399	+	2.46433i	−0.193062	+	0.167289i
$218$	11.9016	−	7.64869i	0.806078	−	0.518035i
$219$	8.66696	−	7.35689i	0.585659	−	0.497133i
$220$	2.82156	+	3.25625i	0.190230	+	0.219537i
$221$	−3.63079	+	1.06610i	−0.244234	+	0.0717134i
$222$	−0.0868762	+	8.53701i	−0.00583075	+	0.572967i
$223$	3.91690	−	4.52035i	0.262295	−	0.302705i	−0.609291	−	0.792946i	$-0.708546\pi$
$223$	3.91690	−	4.52035i	0.262295	−	0.302705i	0.871587	+	0.490242i	$0.163091\pi$
$224$	0.415415	−	0.909632i	0.0277561	−	0.0607773i
$225$	11.9981	+	0.244220i	0.799871	+	0.0162813i
$226$	9.55582	−	4.36400i	0.635644	−	0.290289i
$227$	0.159448	+	1.10899i	0.0105830	+	0.0736061i	0.994428	−	0.105413i	$-0.0336166\pi$
$227$	0.159448	+	1.10899i	0.0105830	+	0.0736061i	−0.983846	+	0.179020i	$0.942707\pi$
$228$	5.85385	−	12.4805i	0.387681	−	0.826539i
$229$			5.41818i			0.358044i	0.983845	+	0.179022i	$0.0572933\pi$
$229$			5.41818i			0.358044i	−0.983845	+	0.179022i	$0.942707\pi$
$230$	−0.868967	+	4.71600i	−0.0572980	+	0.310964i
$231$	−0.986933	−	7.39793i	−0.0649354	−	0.486748i
$232$	−8.50482	−	5.46572i	−0.558369	−	0.358842i
$233$	15.9348	−	2.29109i	1.04393	−	0.150094i	0.401044	−	0.916059i	$-0.368647\pi$
$233$	15.9348	−	2.29109i	1.04393	−	0.150094i	0.642883	+	0.765965i	$0.277738\pi$
$234$	11.2290	−	9.33671i	0.734060	−	0.610360i
$235$	0.819839	−	2.79212i	0.0534804	−	0.182138i
$236$	−3.88318	−	1.77339i	−0.252773	−	0.115438i
$237$	2.82242	+	1.85471i	0.183336	+	0.120476i
$238$	−0.110630	+	0.769448i	−0.00717107	+	0.0498759i
$239$	−4.67031	−	15.9056i	−0.302097	−	1.02885i	−0.960983	−	0.276606i	$-0.910790\pi$
$239$	−4.67031	−	15.9056i	−0.302097	−	1.02885i	0.658886	−	0.752242i	$-0.271028\pi$
$240$	1.29727	+	1.14741i	0.0837383	+	0.0740649i
$241$	15.0893	+	23.4794i	0.971987	+	1.51244i	0.854555	+	0.519360i	$0.173830\pi$
$241$	15.0893	+	23.4794i	0.971987	+	1.51244i	0.117432	+	0.993081i	$0.462534\pi$
$242$	−4.09146	−	6.36643i	−0.263009	−	0.409250i
$243$	15.2970	+	3.00033i	0.981303	+	0.192471i
$244$	2.33775	+	7.96163i	0.149659	+	0.509691i
$245$	0.142302	−	0.989731i	0.00909133	−	0.0632316i
$246$	7.43093	−	11.3081i	0.473779	−	0.720977i
$247$	−35.2414	−	16.0942i	−2.24236	−	1.02405i
$248$	−1.06020	+	3.61070i	−0.0673226	+	0.229280i
$249$	−1.95119	−	3.10514i	−0.123652	−	0.196781i
$250$	8.90776	−	1.28074i	0.563376	−	0.0810013i
$251$	−16.9201	−	10.8739i	−1.06799	−	0.686355i	−0.116237	−	0.993221i	$-0.537083\pi$
$251$	−16.9201	−	10.8739i	−1.06799	−	0.686355i	−0.951753	+	0.306866i	$0.900720\pi$
$252$	−0.786443	−	2.89508i	−0.0495413	−	0.182373i
$253$	6.59894	−	19.5835i	0.414872	−	1.23120i
$254$			22.1119i			1.38743i
$255$	−1.21889	−	0.571708i	−0.0763297	−	0.0358017i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	17.8864	−	8.16844i	1.11572	−	0.509533i	0.229740	−	0.973252i	$-0.426212\pi$
$257$	17.8864	−	8.16844i	1.11572	−	0.509533i	0.885982	+	0.463719i	$0.153485\pi$
$258$	−10.6682	−	1.64482i	−0.664171	−	0.102402i
$259$	2.04762	−	4.48367i	0.127233	−	0.278602i
$260$	3.18747	−	3.67854i	0.197679	−	0.228133i
$261$	−30.1020	+	3.70445i	−1.86327	+	0.229300i
$262$	2.46933	−	0.725060i	0.152556	−	0.0447944i
$263$	13.5639	+	15.6536i	0.836388	+	0.965243i	0.999773	−	0.0213196i	$-0.00678676\pi$
$263$	13.5639	+	15.6536i	0.836388	+	0.965243i	−0.163385	+	0.986562i	$0.552241\pi$
$264$	−4.82988	−	5.68996i	−0.297259	−	0.350193i
$265$	5.26400	−	3.38297i	0.323365	−	0.207814i
$266$	−6.01490	+	5.21194i	−0.368797	+	0.319564i
$267$	21.3069	−	9.46969i	1.30396	−	0.579536i
$268$	−7.94914	−	1.14291i	−0.485571	−	0.0698146i
$269$	24.4571	+	21.1922i	1.49118	+	1.29211i	0.852611	+	0.522546i	$0.175018\pi$
$269$	24.4571	+	21.1922i	1.49118	+	1.29211i	0.638566	+	0.769567i	$0.279528\pi$
$270$	5.19326	+	0.158590i	0.316051	+	0.00965149i
$271$	−1.44707	−	0.424897i	−0.0879030	−	0.0258106i	0.237485	−	0.971391i	$-0.423677\pi$
$271$	−1.44707	−	0.424897i	−0.0879030	−	0.0258106i	−0.325388	+	0.945580i	$0.605495\pi$
$272$	0.322927	+	0.707112i	0.0195803	+	0.0428750i
$273$	−8.11359	+	2.29295i	−0.491057	+	0.138775i
$274$	−4.59361	+	7.14780i	−0.277510	+	0.431815i
$275$	−17.2369			−1.03943
$276$	1.58828	−	8.15336i	0.0956034	−	0.490775i
$277$	11.9852			0.720118			0.360059	−	0.932929i	$-0.382756\pi$
$277$	11.9852			0.720118			0.360059	+	0.932929i	$0.382756\pi$
$278$	−0.513727	+	0.799374i	−0.0308113	+	0.0479433i
$279$	4.47983	+	10.3625i	0.268200	+	0.620387i
$280$	−0.415377	−	0.909549i	−0.0248235	−	0.0543559i
$281$	29.1474	+	8.55845i	1.73879	+	0.510554i	0.988586	−	0.150655i	$-0.0481382\pi$
$281$	29.1474	+	8.55845i	1.73879	+	0.510554i	0.750202	+	0.661209i	$0.229956\pi$
$282$	−1.46928	+	4.82183i	−0.0874941	+	0.287136i
$283$	1.47269	+	1.27610i	0.0875425	+	0.0758560i	0.697533	−	0.716553i	$-0.254281\pi$
$283$	1.47269	+	1.27610i	0.0875425	+	0.0758560i	−0.609990	+	0.792409i	$0.708827\pi$
$284$	10.3028	+	1.48132i	0.611358	+	0.0879001i
$285$	−5.59814	−	12.5959i	−0.331605	−	0.746115i
$286$	−15.8524	+	13.7362i	−0.937373	+	0.812238i
$287$	−6.57204	+	4.22359i	−0.387935	+	0.249311i
$288$	−2.22680	−	2.01032i	−0.131215	−	0.118459i
$289$	10.7369	+	12.3911i	0.631583	+	0.728885i
$290$	−9.69930	+	2.84797i	−0.569562	+	0.167239i
$291$	−5.03306	−	0.0512185i	−0.295043	−	0.00300248i
$292$	−4.29820	+	4.96039i	−0.251533	+	0.290285i
$293$	1.61937	−	3.54594i	0.0946049	−	0.207156i	−0.856413	−	0.516291i	$-0.827312\pi$
$293$	1.61937	−	3.54594i	0.0946049	−	0.207156i	0.951018	+	0.309135i	$0.100040\pi$
$294$	−0.263930	+	1.71182i	−0.0153927	+	0.0998356i
$295$	−3.88282	+	1.77322i	−0.226067	+	0.103241i
$296$	−0.701484	−	4.87893i	−0.0407729	−	0.283582i
$297$	−22.0549	−	3.86148i	−1.27976	−	0.224066i
$298$		−	19.5892i		−	1.13477i
$299$	−22.9589	−	4.23039i	−1.32775	−	0.244650i
$300$	−6.86768	+	0.916194i	−0.396506	+	0.0528965i
$301$	5.24273	+	3.36930i	0.302186	+	0.194203i
$302$	−7.89304	+	1.13485i	−0.454193	+	0.0653032i
$303$	16.4457	−	10.3341i	0.944781	−	0.593677i
$304$	−2.24227	+	7.63646i	−0.128603	+	0.437981i
$305$	7.54720	+	3.44669i	0.432152	+	0.197357i
$306$	2.10118	+	1.01175i	0.120117	+	0.0578380i
$307$	−3.84963	+	26.7748i	−0.219710	+	1.52812i	0.519400	+	0.854531i	$0.326156\pi$
$307$	−3.84963	+	26.7748i	−0.219710	+	1.52812i	−0.739110	+	0.673585i	$0.764754\pi$
$308$	1.21400	+	4.13449i	0.0691738	+	0.235584i
$309$	−2.62311	+	2.96571i	−0.149224	+	0.168713i
$310$	2.03432	+	3.16546i	0.115541	+	0.179786i
$311$	16.7423	+	26.0515i	0.949367	+	1.47724i	0.877356	+	0.479840i	$0.159305\pi$
$311$	16.7423	+	26.0515i	0.949367	+	1.47724i	0.0720106	+	0.997404i	$0.477058\pi$
$312$	−5.58592	+	6.31548i	−0.316241	+	0.357544i
$313$	−5.58205	−	19.0107i	−0.315516	−	1.07455i	−0.952719	−	0.303853i	$-0.901727\pi$
$313$	−5.58205	−	19.0107i	−0.315516	−	1.07455i	0.637203	−	0.770696i	$-0.280091\pi$
$314$	−1.72395	+	11.9903i	−0.0972879	+	0.676652i
$315$	−2.70272	−	1.30140i	−0.152281	−	0.0733257i
$316$	−1.77367	−	0.810006i	−0.0997765	−	0.0455664i
$317$	2.52278	−	8.59180i	0.141693	−	0.482563i	−0.857814	−	0.513961i	$-0.828178\pi$
$317$	2.52278	−	8.59180i	0.141693	−	0.482563i	0.999507	+	0.0313975i	$0.00999579\pi$
$318$	−9.17751	+	5.76692i	−0.514649	+	0.323393i
$319$	43.1196	−	6.19967i	2.41424	−	0.347115i
$320$	−0.841176	−	0.540591i	−0.0470232	−	0.0302200i
$321$	−2.92075	+	0.389648i	−0.163020	+	0.0217480i
$322$	−2.74979	+	3.92920i	−0.153240	+	0.218966i
$323$		−	6.18689i		−	0.344248i
$324$	−8.99255	−	0.366237i	−0.499586	−	0.0203465i
$325$	2.77120	+	19.2741i	0.153718	+	1.06913i
$326$	11.4450	−	5.22675i	0.633879	−	0.289483i
$327$	−3.73393	+	24.2179i	−0.206487	+	1.33926i
$328$	−3.24531	+	7.10623i	−0.179192	+	0.392376i
$329$	1.90581	−	2.19943i	0.105071	−	0.121258i
$330$	−7.46240	−	0.0759405i	−0.410792	−	0.00418039i
$331$	29.5620	−	8.68020i	1.62488	−	0.477107i	0.662554	−	0.749014i	$-0.269473\pi$
$331$	29.5620	−	8.68020i	1.62488	−	0.477107i	0.962323	+	0.271907i	$0.0876544\pi$
$332$	1.38655	+	1.60016i	0.0760967	+	0.0878202i
$333$	−10.9761	−	9.90905i	−0.601487	−	0.543012i
$334$	15.3697	−	9.87751i	0.840993	−	0.540474i
$335$	−6.06878	+	5.25863i	−0.331573	+	0.287310i
$336$	0.703450	+	1.58277i	0.0383764	+	0.0863471i
$337$	−24.0224	−	3.45390i	−1.30858	−	0.188146i	−0.547502	−	0.836804i	$-0.684421\pi$
$337$	−24.0224	−	3.45390i	−1.30858	−	0.188146i	−0.761080	+	0.648658i	$0.775330\pi$
$338$	8.08347	+	7.00437i	0.439683	+	0.380987i
$339$	−5.30364	+	17.4053i	−0.288054	+	0.945328i
$340$	0.745804	+	0.218988i	0.0404469	+	0.0118763i
$341$	−6.73615	−	14.7501i	−0.364783	−	0.798763i
$342$	9.47462	+	21.9162i	0.512329	+	1.18509i
$343$	0.540641	−	0.841254i	0.0291919	−	0.0454234i
$344$	6.23205			0.336009
$345$	−5.12133	−	6.53906i	−0.275723	−	0.352051i
$346$	13.3808			0.719357
$347$	8.36112	−	13.0102i	0.448848	−	0.698421i	−0.540925	−	0.841071i	$-0.681926\pi$
$347$	8.36112	−	13.0102i	0.448848	−	0.698421i	0.989773	+	0.142649i	$0.0455621\pi$
$348$	16.8505	−	4.76206i	0.903284	−	0.255273i
$349$	5.14770	+	11.2719i	0.275550	+	0.603371i	0.995922	−	0.0902173i	$-0.0287561\pi$
$349$	5.14770	+	11.2719i	0.275550	+	0.603371i	−0.720372	+	0.693588i	$0.756029\pi$
$350$	3.83815	+	1.12698i	0.205158	+	0.0602397i
$351$	−0.772064	+	25.2823i	−0.0412097	+	1.34947i
$352$	3.25655	+	2.82182i	0.173575	+	0.150403i
$353$	−15.2861	−	2.19780i	−0.813595	−	0.116977i	−0.277057	−	0.960853i	$-0.589359\pi$
$353$	−15.2861	−	2.19780i	−0.813595	−	0.116977i	−0.536538	+	0.843876i	$0.680268\pi$
$354$	6.75677	−	3.00300i	0.359118	−	0.159607i
$355$	7.86568	−	6.81565i	0.417467	−	0.361737i
$356$	−11.3248	+	7.27799i	−0.600212	+	0.385733i
$357$	−0.871323	−	1.02648i	−0.0461153	−	0.0543272i
$358$	−4.02893	−	4.64963i	−0.212936	−	0.245741i
$359$	−24.3869	+	7.16063i	−1.28709	+	0.377924i	−0.852511	−	0.522710i	$-0.824921\pi$
$359$	−24.3869	+	7.16063i	−1.28709	+	0.377924i	−0.434579	+	0.900633i	$0.643103\pi$
$360$	−2.97727	+	0.366392i	−0.156916	+	0.0193105i
$361$	29.0387	−	33.5124i	1.52835	−	1.76381i
$362$	−10.7855	+	23.6169i	−0.566873	+	1.24128i
$363$	12.9547	+	1.99736i	0.679947	+	0.104834i
$364$	4.42795	−	2.02218i	0.232088	−	0.105991i
$365$	0.934003	+	6.49613i	0.0488879	+	0.340023i
$366$	−13.0119	−	6.10312i	−0.680143	−	0.319015i
$367$			2.55388i			0.133312i	0.997776	+	0.0666558i	$0.0212329\pi$
$367$			2.55388i			0.133312i	−0.997776	+	0.0666558i	$0.978767\pi$
$368$	−0.188983	+	4.79211i	−0.00985140	+	0.249806i
$369$	6.14385	+	22.6170i	0.319836	+	1.17739i
$370$	−4.14624	−	2.66463i	−0.215553	−	0.138527i
$371$	6.19421	−	0.890592i	0.321587	−	0.0462373i
$372$	−3.46788	−	5.51881i	−0.179801	−	0.286137i
$373$	1.17143	−	3.98954i	0.0606546	−	0.206571i	−0.923590	−	0.383381i	$-0.874760\pi$
$373$	1.17143	−	3.98954i	0.0606546	−	0.206571i	0.984245	+	0.176810i	$0.0565779\pi$
$374$	−3.04697	−	1.39151i	−0.157555	−	0.0719530i
$375$	−8.56015	+	13.0265i	−0.442044	+	0.672684i
$376$	0.414173	−	2.88064i	0.0213593	−	0.148557i
$377$	−13.8648	−	47.2190i	−0.714072	−	2.43190i
$378$	4.65850	+	2.30183i	0.239607	+	0.118393i
$379$	−11.0061	−	17.1258i	−0.565344	−	0.879693i	0.434435	−	0.900703i	$-0.356948\pi$
$379$	−11.0061	−	17.1258i	−0.565344	−	0.879693i	−0.999779	+	0.0210103i	$0.993312\pi$
$380$	4.30248	+	6.69479i	0.220713	+	0.343436i
$381$	−28.6877	−	25.3737i	−1.46972	−	1.29994i
$382$	5.05457	+	17.2143i	0.258614	+	0.880759i
$383$	−0.450683	+	3.13457i	−0.0230288	+	0.160169i	−0.998091	−	0.0617637i	$-0.980327\pi$
$383$	−0.450683	+	3.13457i	−0.0230288	+	0.160169i	0.975062	+	0.221933i	$0.0712366\pi$
$384$	1.44749	+	0.951196i	0.0738669	+	0.0485405i
$385$	3.91928	+	1.78987i	0.199745	+	0.0912204i
$386$	−0.358560	+	1.22114i	−0.0182502	+	0.0621546i
$387$	14.3758	−	11.9533i	0.730765	−	0.607620i
$388$	2.87641	−	0.413565i	0.146027	−	0.0209956i
$389$	−19.2460	−	12.3687i	−0.975812	−	0.627116i	−0.0474812	−	0.998872i	$-0.515119\pi$
$389$	−19.2460	−	12.3687i	−0.975812	−	0.627116i	−0.928330	+	0.371756i	$0.878756\pi$
$390$	1.11482	+	8.35656i	0.0564511	+	0.423151i
$391$	−0.908552	−	3.61569i	−0.0459474	−	0.182853i
$392$		−	1.00000i		−	0.0505076i
$393$	−1.89290	+	4.03569i	−0.0954844	+	0.203574i
$394$	1.20191	+	8.35950i	0.0605516	+	0.421145i
$395$	−1.77350	+	0.809932i	−0.0892346	+	0.0407521i
$396$	12.9244	+	0.263076i	0.649477	+	0.0132201i
$397$	8.69536	−	19.0402i	0.436408	−	0.955599i	−0.555836	−	0.831292i	$-0.687602\pi$
$397$	8.69536	−	19.0402i	0.436408	−	0.955599i	0.992244	−	0.124308i	$-0.0396709\pi$
$398$	−4.28378	+	4.94375i	−0.214727	+	0.247808i
$399$	0.140276	−	13.7844i	0.00702259	−	0.690084i
$400$	3.83815	−	1.12698i	0.191907	−	0.0563491i
$401$	14.0312	+	16.1928i	0.700684	+	0.808632i	0.988845	−	0.148950i	$-0.0475893\pi$
$401$	14.0312	+	16.1928i	0.700684	+	0.808632i	−0.288161	+	0.957582i	$0.593044\pi$
$402$	10.6045	−	9.00160i	0.528907	−	0.448959i
$403$	−15.4104	+	9.90365i	−0.767646	+	0.493336i
$404$	−8.47489	+	7.34354i	−0.421642	+	0.365355i
$405$	−6.16508	+	6.55568i	−0.306345	+	0.325754i
$406$	−10.0068	−	1.43876i	−0.496629	−	0.0714045i
$407$	16.0519	+	13.9090i	0.795662	+	0.689445i
$408$	−1.28796	−	0.392459i	−0.0637636	−	0.0194296i
$409$	13.7652	+	4.04184i	0.680648	+	0.199856i	0.603739	−	0.797182i	$-0.293677\pi$
$409$	13.7652	+	4.04184i	0.680648	+	0.199856i	0.0769086	+	0.997038i	$0.475495\pi$
$410$	3.24501	+	7.10558i	0.160260	+	0.350919i
$411$	−4.00223	−	14.1619i	−0.197416	−	0.698555i
$412$	1.23586	−	1.92303i	0.0608862	−	0.0947409i
$413$	−4.26895			−0.210061
$414$	8.75549	+	11.4167i	0.430309	+	0.561101i
$415$	2.11712			0.103925
$416$	2.63176	−	4.09510i	0.129033	−	0.200779i
$417$	−0.447590	−	1.58380i	−0.0219186	−	0.0775588i
$418$	−14.2466	−	31.1958i	−0.696826	−	1.52584i
$419$	−17.0933	−	5.01904i	−0.835061	−	0.245196i	−0.163871	−	0.986482i	$-0.552398\pi$
$419$	−17.0933	−	5.01904i	−0.835061	−	0.245196i	−0.671190	+	0.741286i	$0.734216\pi$
$420$	1.65669	+	0.504815i	0.0808381	+	0.0246324i
$421$	−10.2538	−	8.88495i	−0.499739	−	0.433026i	0.368164	−	0.929761i	$-0.379987\pi$
$421$	−10.2538	−	8.88495i	−0.499739	−	0.433026i	−0.867902	+	0.496735i	$0.834532\pi$
$422$	19.5589	+	2.81215i	0.952114	+	0.136893i
$423$	−4.56976	−	7.43933i	−0.222189	−	0.361713i
$424$	4.72941	−	4.09805i	0.229680	−	0.199019i
$425$	−2.61595	+	1.68117i	−0.126892	+	0.0815486i
$426$	−13.7444	+	11.6669i	−0.665920	+	0.565262i
$427$	5.43387	+	6.27102i	0.262963	+	0.303476i
$428$	1.63232	−	0.479294i	0.0789013	−	0.0231675i
$429$	0.369701	−	36.3292i	0.0178493	−	1.75399i
$430$	4.08075	−	4.70944i	0.196791	−	0.227109i
$431$	3.11374	−	6.81814i	0.149984	−	0.328418i	−0.819696	−	0.572799i	$-0.805857\pi$
$431$	3.11374	−	6.81814i	0.149984	−	0.328418i	0.969679	+	0.244381i	$0.0785847\pi$
$432$	5.16344	−	0.582155i	0.248426	−	0.0280089i
$433$	−5.87928	+	2.68498i	−0.282540	+	0.129032i	−0.551645	−	0.834079i	$-0.686000\pi$
$433$	−5.87928	+	2.68498i	−0.282540	+	0.129032i	0.269104	+	0.963111i	$0.413272\pi$
$434$	0.535549	+	3.72483i	0.0257072	+	0.178797i
$435$	7.43515	−	15.8518i	0.356488	−	0.760037i
$436$		−	14.1475i		−	0.677540i
$437$	17.2119	−	34.0682i	0.823359	−	1.62970i
$438$	−1.50330	−	11.2685i	−0.0718304	−	0.538432i
$439$	8.36440	+	5.37548i	0.399211	+	0.256557i	0.724808	−	0.688951i	$-0.241929\pi$
$439$	8.36440	+	5.37548i	0.399211	+	0.256557i	−0.325596	+	0.945509i	$0.605565\pi$
$440$	4.26479	−	0.613184i	0.203316	−	0.0292324i
$441$	−1.91804	−	2.30676i	−0.0913350	−	0.109846i
$442$	−1.06610	+	3.63079i	−0.0507091	+	0.172699i
$443$	−9.67784	−	4.41972i	−0.459808	−	0.209987i	0.172024	−	0.985093i	$-0.444969\pi$
$443$	−9.67784	−	4.41972i	−0.459808	−	0.209987i	−0.631832	+	0.775105i	$0.717697\pi$
$444$	7.13482	+	4.68854i	0.338604	+	0.222508i
$445$	−1.91564	+	13.3235i	−0.0908098	+	0.631596i
$446$	−1.68512	−	5.73899i	−0.0797927	−	0.271749i
$447$	25.4148	+	22.4789i	1.20208	+	1.06321i
$448$	−0.540641	−	0.841254i	−0.0255429	−	0.0397455i
$449$	−0.563343	−	0.876579i	−0.0265858	−	0.0413683i	0.827706	−	0.561162i	$-0.189645\pi$
$449$	−0.563343	−	0.876579i	−0.0265858	−	0.0413683i	−0.854292	+	0.519793i	$0.826009\pi$
$450$	6.69209	−	9.96138i	0.315468	−	0.469584i
$451$	−9.48398	−	32.2995i	−0.446583	−	1.52092i
$452$	1.49504	−	10.3982i	0.0703207	−	0.489091i
$453$	7.58503	−	11.5426i	0.356376	−	0.542318i
$454$	1.01914	+	0.465428i	0.0478308	+	0.0218436i
$455$	1.37131	−	4.67024i	0.0642878	−	0.218944i
$456$	−7.33441	−	11.6720i	−0.343465	−	0.546593i
$457$	−24.5169	+	3.52499i	−1.14685	+	0.164892i	−0.689426	−	0.724356i	$-0.742137\pi$
$457$	−24.5169	+	3.52499i	−1.14685	+	0.164892i	−0.457424	+	0.889249i	$0.651228\pi$
$458$	4.55807	+	2.92929i	0.212984	+	0.136877i
$459$	−3.72377	+	1.56505i	−0.173811	+	0.0730501i
$460$	3.49755	+	3.28069i	0.163074	+	0.152963i
$461$		−	36.3457i		−	1.69279i	−0.532558	−	0.846394i	$-0.678769\pi$
$461$		−	36.3457i		−	1.69279i	0.532558	−	0.846394i	$-0.321231\pi$
$462$	−6.75711	−	3.16936i	−0.314369	−	0.147452i
$463$	−3.76997	−	26.2207i	−0.175205	−	1.21858i	−0.867674	−	0.497133i	$-0.834386\pi$
$463$	−3.76997	−	26.2207i	−0.175205	−	1.21858i	0.692469	−	0.721448i	$-0.256523\pi$
$464$	−9.19611	+	4.19972i	−0.426918	+	0.194967i
$465$	−6.44123	−	0.993111i	−0.298705	−	0.0460544i
$466$	6.68765	−	14.6439i	0.309799	−	0.678366i
$467$	−1.65201	+	1.90652i	−0.0764459	+	0.0882232i	−0.792684	−	0.609633i	$-0.791317\pi$
$467$	−1.65201	+	1.90652i	−0.0764459	+	0.0882232i	0.716238	+	0.697856i	$0.245862\pi$
$468$	−1.78370	−	14.4942i	−0.0824517	−	0.669995i
$469$	−7.70558	+	2.26256i	−0.355810	+	0.104475i
$470$	−1.90564	−	2.19922i	−0.0879006	−	0.101443i
$471$	−13.5778	−	15.9957i	−0.625633	−	0.737041i
$472$	−3.59127	+	2.30797i	−0.165302	+	0.106233i
$473$	−20.2950	+	17.5857i	−0.933165	+	0.808592i
$474$	3.08620	−	1.37164i	0.141754	−	0.0630014i
$475$	−31.5128	−	4.53086i	−1.44591	−	0.207890i
$476$	0.587490	+	0.509063i	0.0269276	+	0.0233329i
$477$	3.04939	−	18.5244i	0.139622	−	0.848174i
$478$	−15.9056	−	4.67031i	−0.727506	−	0.213615i
$479$	9.70248	+	21.2455i	0.443318	+	0.970730i	0.990977	+	0.134029i	$0.0427915\pi$
$479$	9.70248	+	21.2455i	0.443318	+	0.970730i	−0.547660	+	0.836701i	$0.684481\pi$
$480$	1.66662	−	0.470995i	0.0760703	−	0.0214979i
$481$	12.9722	−	20.1851i	0.591481	−	0.920363i
$482$	27.9100			1.27127
$483$	−1.94228	−	8.07636i	−0.0883766	−	0.367487i
$484$	−7.56779			−0.343991
$485$	1.57095	−	2.44445i	0.0713332	−	0.110997i
$486$	10.7942	−	11.2465i	0.489636	−	0.510154i
$487$	8.84874	+	19.3760i	0.400975	+	0.878012i	0.997171	+	0.0751730i	$0.0239509\pi$
$487$	8.84874	+	19.3760i	0.400975	+	0.878012i	−0.596196	+	0.802839i	$0.703322\pi$
$488$	7.96163	+	2.33775i	0.360406	+	0.105825i
$489$	−6.35216	+	20.8463i	−0.287254	+	0.942704i
$490$	−0.755680	−	0.654801i	−0.0341382	−	0.0295809i
$491$	−31.2973	−	4.49988i	−1.41243	−	0.203077i	−0.606497	−	0.795086i	$-0.707426\pi$
$491$	−31.2973	−	4.49988i	−1.41243	−	0.203077i	−0.805931	+	0.592009i	$0.798335\pi$
$492$	−5.49549	−	12.3649i	−0.247756	−	0.557453i
$493$	5.93935	−	5.14647i	0.267495	−	0.231785i
$494$	−32.5922	+	20.9458i	−1.46639	+	0.942394i
$495$	8.66173	−	9.59448i	0.389316	−	0.431240i
$496$	2.46433	+	2.84399i	0.110652	+	0.127699i
$497$	9.98711	−	2.93248i	0.447983	−	0.131540i
$498$	−3.66711	−	0.0373181i	−0.164327	−	0.00167226i
$499$	−2.63573	+	3.04180i	−0.117992	+	0.136170i	−0.811672	−	0.584113i	$-0.801442\pi$
$499$	−2.63573	+	3.04180i	−0.117992	+	0.136170i	0.693681	+	0.720283i	$0.255988\pi$
$500$	3.73847	−	8.18610i	0.167189	−	0.366094i
$501$	−4.82200	+	31.2750i	−0.215431	+	1.39727i
$502$	−18.2954	+	8.35525i	−0.816565	+	0.372913i
$503$	4.60676	+	32.0407i	0.205405	+	1.42862i	0.787907	+	0.615794i	$0.211165\pi$
$503$	4.60676	+	32.0407i	0.205405	+	1.42862i	−0.582502	+	0.812829i	$0.697926\pi$
$504$	−2.86068	−	0.903602i	−0.127425	−	0.0402496i
$505$			11.2129i			0.498966i
$506$	−12.9070	−	16.1390i	−0.573787	−	0.717467i
$507$	−18.3633	+	2.44978i	−0.815541	+	0.108799i
$508$	18.6017	+	11.9546i	0.825319	+	0.530400i
$509$	−29.5804	+	4.25302i	−1.31113	+	0.188512i	−0.762191	−	0.647352i	$-0.775876\pi$
$509$	−29.5804	+	4.25302i	−1.31113	+	0.188512i	−0.548937	+	0.835864i	$0.684967\pi$
$510$	−1.13993	+	0.716304i	−0.0504770	+	0.0317185i
$511$	−1.84916	+	6.29767i	−0.0818021	+	0.278592i
$512$	−0.909632	−	0.415415i	−0.0402004	−	0.0183589i
$513$	−39.3061	−	12.8569i	−1.73541	−	0.567646i
$514$	2.79838	−	19.4632i	0.123431	−	0.858484i
$515$	−0.643956	−	2.19311i	−0.0283761	−	0.0966401i
$516$	−7.15136	+	8.08538i	−0.314821	+	0.355939i
$517$	6.77985	+	10.5497i	0.298178	+	0.463973i
$518$	−2.66487	−	4.14662i	−0.117088	−	0.182192i
$519$	−15.3547	+	17.3601i	−0.673995	+	0.762023i
$520$	−1.37131	−	4.67024i	−0.0601358	−	0.204804i
$521$	0.573150	−	3.98635i	0.0251102	−	0.174645i	−0.973407	−	0.229082i	$-0.926427\pi$
$521$	0.573150	−	3.98635i	0.0251102	−	0.174645i	0.998517	+	0.0544374i	$0.0173365\pi$
$522$	−13.1580	+	27.3262i	−0.575910	+	1.19604i
$523$	−14.7575	−	6.73953i	−0.645301	−	0.294699i	0.0657538	−	0.997836i	$-0.479055\pi$
$523$	−14.7575	−	6.73953i	−0.645301	−	0.294699i	−0.711054	+	0.703137i	$0.751782\pi$
$524$	0.725060	−	2.46933i	0.0316744	−	0.107873i
$525$	−5.86646	+	3.68634i	−0.256033	+	0.160885i
$526$	20.5019	−	2.94772i	0.893924	−	0.128527i
$527$	−2.46093	−	1.58154i	−0.107200	−	0.0688931i
$528$	−7.39793	+	0.986933i	−0.321953	+	0.0429507i
$529$	5.05589	−	22.4374i	0.219821	−	0.975540i
$530$		−	6.25733i		−	0.271801i
$531$	−3.85743	+	12.2121i	−0.167398	+	0.529961i
$532$	1.13266	+	7.87784i	0.0491071	+	0.341548i
$533$	−34.5921	+	15.7977i	−1.49835	+	0.684273i
$534$	3.55296	−	23.0442i	0.153752	−	0.997220i
$535$	0.706654	−	1.54736i	0.0305513	−	0.0668981i
$536$	−5.25911	+	6.06934i	−0.227159	+	0.262155i
$537$	10.6556	+	0.108436i	0.459824	+	0.00467937i
$538$	31.0506	−	9.11727i	1.33868	−	0.393073i
$539$	2.82182	+	3.25655i	0.121544	+	0.140270i
$540$	2.94110	−	4.28310i	0.126565	−	0.184315i
$541$	25.3932	−	16.3192i	1.09174	−	0.701619i	0.134500	−	0.990914i	$-0.457057\pi$
$541$	25.3932	−	16.3192i	1.09174	−	0.701619i	0.957240	+	0.289295i	$0.0934208\pi$
$542$	−1.13979	+	0.987632i	−0.0489581	+	0.0424224i
$543$	−18.2638	−	41.0937i	−0.783774	−	1.76350i
$544$	0.769448	+	0.110630i	0.0329898	+	0.00474322i
$545$	−10.6910	−	9.26376i	−0.457950	−	0.396816i
$546$	−2.45759	+	8.06524i	−0.105175	+	0.345161i
$547$	−24.6111	−	7.22647i	−1.05229	−	0.308981i	−0.290550	−	0.956860i	$-0.593838\pi$
$547$	−24.6111	−	7.22647i	−1.05229	−	0.308981i	−0.761744	+	0.647878i	$0.775657\pi$
$548$	3.52962	+	7.72879i	0.150778	+	0.330157i
$549$	22.8494	−	9.87807i	0.975191	−	0.421586i
$550$	−9.31899	+	14.5006i	−0.397363	+	0.618309i
$551$	80.4616			3.42778
$552$	−6.00036	−	5.74419i	−0.255392	−	0.244489i
$553$	−1.94987			−0.0829170
$554$	6.47967	−	10.0826i	0.275295	−	0.428367i
$555$	8.21492	−	2.32158i	0.348704	−	0.0985457i
$556$	0.394735	+	0.864349i	0.0167405	+	0.0366566i
$557$	14.1177	+	4.14532i	0.598185	+	0.175643i	0.566787	−	0.823864i	$-0.308186\pi$
$557$	14.1177	+	4.14532i	0.598185	+	0.175643i	0.0313974	+	0.999507i	$0.490004\pi$
$558$	11.1395	+	1.83372i	0.471572	+	0.0776278i
$559$	22.9269	+	19.8663i	0.969706	+	0.840255i
$560$	−0.989731	−	0.142302i	−0.0418238	−	0.00601335i
$561$	5.30176	−	2.35633i	0.223841	−	0.0994843i
$562$	22.9581	−	19.8933i	0.968429	−	0.839148i
$563$	14.2349	−	9.14821i	0.599929	−	0.385551i	−0.205139	−	0.978733i	$-0.565765\pi$
$563$	14.2349	−	9.14821i	0.599929	−	0.385551i	0.805069	+	0.593182i	$0.202128\pi$
$564$	3.26203	+	3.84291i	0.137356	+	0.161816i
$565$	−6.87878	−	7.93853i	−0.289392	−	0.333977i
$566$	1.86972	−	0.548999i	0.0785901	−	0.0230761i
$567$	−8.33205	+	3.40250i	−0.349913	+	0.142891i
$568$	6.81627	−	7.86640i	0.286005	−	0.330067i
$569$	−6.20031	+	13.5768i	−0.259930	+	0.569168i	−0.993934	−	0.109977i	$-0.964922\pi$
$569$	−6.20031	+	13.5768i	−0.259930	+	0.569168i	0.734004	+	0.679145i	$0.237649\pi$
$570$	−13.6229	−	2.10038i	−0.570600	−	0.0879753i
$571$	1.63874	−	0.748389i	0.0685793	−	0.0313191i	−0.380830	−	0.924645i	$-0.624362\pi$
$571$	1.63874	−	0.748389i	0.0685793	−	0.0313191i	0.449409	+	0.893326i	$0.351634\pi$
$572$	2.98516	+	20.7622i	0.124816	+	0.868113i
$573$	−28.1337	−	13.1959i	−1.17530	−	0.551266i
$574$			7.81220i			0.326075i
$575$	−19.0818	+	1.97981i	−0.795765	+	0.0825636i
$576$	−2.89508	+	0.786443i	−0.120628	+	0.0327685i
$577$	5.33965	+	3.43159i	0.222293	+	0.142859i	0.647048	−	0.762449i	$-0.276003\pi$
$577$	5.33965	+	3.43159i	0.222293	+	0.142859i	−0.424755	+	0.905308i	$0.639640\pi$
$578$	16.2288	−	2.33335i	0.675030	−	0.0970547i
$579$	−1.17284	−	1.86647i	−0.0487417	−	0.0775678i
$580$	−2.84797	+	9.69930i	−0.118256	+	0.402741i
$581$	1.92598	+	0.879565i	0.0799030	+	0.0364905i
$582$	−2.76416	+	4.20638i	−0.114578	+	0.174360i
$583$	−3.83759	+	26.6911i	−0.158937	+	1.10543i
$584$	1.84916	+	6.29767i	0.0765189	+	0.260599i
$585$	−12.1210	−	8.14291i	−0.501140	−	0.336668i
$586$	−2.10753	−	3.27938i	−0.0870613	−	0.135470i
$587$	−7.38537	−	11.4919i	−0.304827	−	0.474320i	0.654719	−	0.755872i	$-0.272787\pi$
$587$	−7.38537	−	11.4919i	−0.304827	−	0.474320i	−0.959546	+	0.281553i	$0.909151\pi$
$588$	1.29739	+	1.14751i	0.0535033	+	0.0473227i
$589$	−8.43794	−	28.7370i	−0.347679	−	1.18409i
$590$	−0.607480	+	4.22511i	−0.0250095	+	0.173945i
$591$	−12.2247	−	8.03329i	−0.502858	−	0.330445i
$592$	−4.48367	−	2.04762i	−0.184278	−	0.0841568i
$593$	4.32525	−	14.7304i	0.177617	−	0.604907i	−0.821768	−	0.569823i	$-0.807012\pi$
$593$	4.32525	−	14.7304i	0.177617	−	0.604907i	0.999384	−	0.0350842i	$-0.0111699\pi$
$594$	−15.1723	+	16.4661i	−0.622526	+	0.675612i
$595$	0.769378	−	0.110620i	0.0315414	−	0.00453497i
$596$	−16.4795	−	10.5907i	−0.675026	−	0.433813i
$597$	−1.49826	−	11.2307i	−0.0613195	−	0.459644i
$598$	−15.9713	+	17.0271i	−0.653117	+	0.696291i
$599$		−	12.0358i		−	0.491768i	−0.969299	−	0.245884i	$-0.920922\pi$
$599$		−	12.0358i		−	0.491768i	0.969299	−	0.245884i	$-0.0790782\pi$
$600$	−2.94220	+	6.27279i	−0.120115	+	0.256086i
$601$	2.88270	+	20.0496i	0.117588	+	0.817842i	0.960199	+	0.279318i	$0.0901085\pi$
$601$	2.88270	+	20.0496i	0.117588	+	0.817842i	−0.842611	+	0.538523i	$0.818982\pi$
$602$	5.66887	−	2.58889i	0.231046	−	0.105515i
$603$	−0.490303	+	24.0877i	−0.0199667	+	0.980925i
$604$	−3.31261	+	7.25359i	−0.134788	+	0.295145i
$605$	−4.95540	+	5.71883i	−0.201465	+	0.232504i
$606$	0.197647	−	19.4220i	0.00802885	−	0.788966i
$607$	15.1297	−	4.44248i	0.614095	−	0.180315i	0.0401302	−	0.999194i	$-0.487223\pi$
$607$	15.1297	−	4.44248i	0.614095	−	0.180315i	0.573965	+	0.818880i	$0.305405\pi$
$608$	5.21194	+	6.01490i	0.211372	+	0.243936i
$609$	13.3496	−	11.3317i	0.540952	−	0.459183i
$610$	6.97987	−	4.48569i	0.282607	−	0.181620i
$611$	10.7065	−	9.27721i	0.433138	−	0.375316i
$612$	1.98712	−	1.22063i	0.0803247	−	0.0493411i
$613$	24.1990	+	3.47929i	0.977389	+	0.140527i	0.612455	−	0.790506i	$-0.290182\pi$
$613$	24.1990	+	3.47929i	0.977389	+	0.140527i	0.364935	+	0.931033i	$0.381091\pi$
$614$	20.4431	+	17.7140i	0.825016	+	0.714881i
$615$	−12.9424	−	3.94371i	−0.521887	−	0.159026i
$616$	4.13449	+	1.21400i	0.166583	+	0.0489133i
$617$	11.5126	+	25.2091i	0.463481	+	1.01488i	0.986680	+	0.162672i	$0.0520111\pi$
$617$	11.5126	+	25.2091i	0.463481	+	1.01488i	−0.523199	+	0.852210i	$0.675262\pi$
$618$	1.07675	+	3.81009i	0.0433133	+	0.153264i
$619$	5.55729	−	8.64731i	0.223366	−	0.347565i	−0.711425	−	0.702762i	$-0.751950\pi$
$619$	5.55729	−	8.64731i	0.223366	−	0.347565i	0.934791	+	0.355197i	$0.115586\pi$
$620$	3.76279			0.151117
$621$	−24.8589	−	1.74158i	−0.997555	−	0.0698870i
$622$	30.9674			1.24168
$623$	−7.27799	+	11.3248i	−0.291586	+	0.453717i
$624$	2.29295	+	8.11359i	0.0917913	+	0.324803i
$625$	4.57055	+	10.0081i	0.182822	+	0.400325i
$626$	−19.0107	−	5.58205i	−0.759821	−	0.223103i
$627$	56.8212	+	17.3142i	2.26922	+	0.691462i
$628$	9.15485	+	7.93273i	0.365318	+	0.316550i
$629$	3.79269	+	0.545306i	0.151224	+	0.0217428i
$630$	−2.55601	+	1.57008i	−0.101834	+	0.0625536i
$631$	5.59847	−	4.85110i	0.222872	−	0.193119i	−0.536267	−	0.844048i	$-0.680166\pi$
$631$	5.59847	−	4.85110i	0.222872	−	0.193119i	0.759139	+	0.650929i	$0.225620\pi$
$632$	−1.64034	+	1.05418i	−0.0652491	+	0.0419330i
$633$	−26.0926	+	22.1485i	−1.03709	+	0.880325i
$634$	−5.86396	−	6.76737i	−0.232888	−	0.268767i
$635$	21.2143	−	6.22908i	0.841864	−	0.247193i
$636$	−0.110297	+	10.8384i	−0.00437354	+	0.429772i
$637$	3.18776	−	3.67888i	0.126304	−	0.145762i
$638$	18.0967	−	39.6264i	0.716457	−	1.56882i
$639$	0.635477	−	31.2198i	0.0251391	−	1.23503i
$640$	−0.909549	+	0.415377i	−0.0359531	+	0.0164192i
$641$	0.357221	+	2.48453i	0.0141094	+	0.0981328i	0.995659	−	0.0930735i	$-0.0296691\pi$
$641$	0.357221	+	2.48453i	0.0141094	+	0.0981328i	−0.981550	+	0.191206i	$0.938760\pi$
$642$	−1.25128	+	2.66775i	−0.0493843	+	0.105288i
$643$		−	29.8445i		−	1.17695i	−0.808514	−	0.588477i	$-0.799728\pi$
$643$		−	29.8445i		−	1.17695i	0.808514	−	0.588477i	$-0.200272\pi$
$644$	1.81881	+	4.43756i	0.0716711	+	0.174864i
$645$	1.42724	+	10.6985i	0.0561977	+	0.421251i
$646$	−5.20475	−	3.34489i	−0.204778	−	0.131603i
$647$	−17.5747	+	2.52685i	−0.690931	+	0.0993409i	−0.478831	−	0.877907i	$-0.658939\pi$
$647$	−17.5747	+	2.52685i	−0.690931	+	0.0993409i	−0.212100	+	0.977248i	$0.568030\pi$
$648$	−5.16984	+	7.36701i	−0.203090	+	0.289403i
$649$	5.18249	−	17.6499i	0.203431	−	0.692821i
$650$	17.7126	+	8.08908i	0.694746	+	0.317280i
$651$	−5.44709	−	3.57948i	−0.213488	−	0.140291i
$652$	1.79060	−	12.4539i	0.0701255	−	0.487733i
$653$	−3.63035	−	12.3638i	−0.142067	−	0.483834i	0.857462	−	0.514548i	$-0.172040\pi$
$653$	−3.63035	−	12.3638i	−0.142067	−	0.483834i	−0.999528	+	0.0307137i	$0.990222\pi$
$654$	18.3547	+	16.2344i	0.717726	+	0.634815i
$655$	−1.39125	−	2.16483i	−0.0543608	−	0.0845870i
$656$	4.22359	+	6.57204i	0.164904	+	0.256595i
$657$	16.3447	+	10.9804i	0.637668	+	0.428388i
$658$	−0.819914	−	2.79237i	−0.0319636	−	0.108858i
$659$	−5.18468	+	36.0602i	−0.201966	+	1.40471i	0.596474	+	0.802632i	$0.296568\pi$
$659$	−5.18468	+	36.0602i	−0.201966	+	1.40471i	−0.798440	+	0.602074i	$0.794341\pi$
$660$	−4.09836	+	6.23671i	−0.159529	+	0.242764i
$661$	26.5900	+	12.1432i	1.03423	+	0.472317i	0.858873	−	0.512188i	$-0.171165\pi$
$661$	26.5900	+	12.1432i	1.03423	+	0.472317i	0.175356	+	0.984505i	$0.443892\pi$
$662$	8.68020	−	29.5620i	0.337366	−	1.14896i
$663$	−3.48718	−	5.54952i	−0.135431	−	0.215526i
$664$	2.09576	−	0.301325i	0.0813314	−	0.0116937i
$665$	6.69479	+	4.30248i	0.259613	+	0.166843i
$666$	−14.2702	+	3.87646i	−0.552957	+	0.150210i
$667$	47.0226	−	11.8159i	1.82072	−	0.457512i
$668$		−	18.2700i		−	0.706888i
$669$	9.37939	+	4.39932i	0.362628	+	0.170087i
$670$	1.14281	+	7.94841i	0.0441506	+	0.307074i
$671$	−32.5242	+	14.8533i	−1.25558	+	0.573405i
$672$	1.71182	+	0.263930i	0.0660350	+	0.0101813i
$673$	13.2019	−	28.9081i	0.508895	−	1.11432i	−0.464580	−	0.885531i	$-0.653795\pi$
$673$	13.2019	−	28.9081i	0.508895	−	1.11432i	0.973475	−	0.228794i	$-0.0734781\pi$
$674$	−15.8931	+	18.3416i	−0.612179	+	0.706492i
$675$	5.24449	+	20.1131i	0.201861	+	0.774152i
$676$	10.2627	−	3.01340i	0.394719	−	0.115900i
$677$	−20.1926	−	23.3035i	−0.776066	−	0.895627i	0.220753	−	0.975330i	$-0.429148\pi$
$677$	−20.1926	−	23.3035i	−0.776066	−	0.895627i	−0.996819	+	0.0797023i	$0.974603\pi$
$678$	11.7749	+	13.8717i	0.452214	+	0.532741i
$679$	2.44467	−	1.57109i	0.0938179	−	0.0602931i
$680$	0.587436	−	0.509016i	0.0225271	−	0.0195199i
$681$	−1.77332	+	0.788140i	−0.0679539	+	0.0302016i
$682$	−16.0504	−	2.30770i	−0.614602	−	0.0883665i
$683$	22.6385	+	19.6164i	0.866240	+	0.750601i	0.969769	−	0.244026i	$-0.0784681\pi$
$683$	22.6385	+	19.6164i	0.866240	+	0.750601i	−0.103529	+	0.994626i	$0.533014\pi$
$684$	23.5595	+	3.87824i	0.900819	+	0.148288i
$685$	8.15169	+	2.39355i	0.311460	+	0.0914529i
$686$	−0.415415	−	0.909632i	−0.0158606	−	0.0347299i
$687$	−9.03087	+	2.55217i	−0.344549	+	0.0973715i
$688$	3.36930	−	5.24273i	0.128453	−	0.199877i
$689$	30.4625			1.16053
$690$	−8.26981	+	0.773051i	−0.314826	+	0.0294295i
$691$	−36.1964			−1.37698			−0.688488	−	0.725248i	$-0.741725\pi$
$691$	−36.1964			−1.37698			−0.688488	+	0.725248i	$0.741725\pi$
$692$	7.23421	−	11.2567i	0.275003	−	0.427914i
$693$	11.8658	−	5.12970i	0.450743	−	0.194861i
$694$	−6.42447	−	14.0676i	−0.243870	−	0.534000i
$695$	0.911644	+	0.267683i	0.0345806	+	0.0101538i
$696$	5.10399	−	16.7501i	0.193466	−	0.634913i
$697$	−4.58959	−	3.97690i	−0.173843	−	0.150636i
$698$	12.2656	+	1.76352i	0.464259	+	0.0667504i
$699$	11.3246	+	25.4805i	0.428337	+	0.963762i
$700$	3.02314	−	2.61956i	0.114264	−	0.0990102i
$701$	−22.2483	+	14.2981i	−0.840307	+	0.540033i	−0.888538	−	0.458804i	$-0.848278\pi$
$701$	−22.2483	+	14.2981i	−0.840307	+	0.540033i	0.0482305	+	0.998836i	$0.484642\pi$
$702$	20.8514	+	14.3181i	0.786986	+	0.540404i
$703$	25.6902	+	29.6480i	0.968923	+	1.11820i
$704$	4.13449	−	1.21400i	0.155824	−	0.0457542i
$705$	5.03999	+	0.0512891i	0.189817	+	0.00193166i
$706$	−10.1132	+	11.6712i	−0.380615	+	0.439253i
$707$	−4.65842	+	10.2005i	−0.175198	+	0.383630i
$708$	1.12670	−	7.30770i	0.0423441	−	0.274640i
$709$	−8.86591	+	4.04893i	−0.332966	+	0.152061i	−0.574881	−	0.818237i	$-0.694952\pi$
$709$	−8.86591	+	4.04893i	−0.332966	+	0.152061i	0.241915	+	0.970297i	$0.422225\pi$
$710$	−1.48118	−	10.3018i	−0.0555878	−	0.386622i
$711$	−1.76191	+	5.57796i	−0.0660767	+	0.209190i
$712$			13.4618i			0.504502i
$713$	−9.15128	−	15.5551i	−0.342718	−	0.582543i
$714$	−1.33460	+	0.178045i	−0.0499463	+	0.00666317i
$715$	17.6443	+	11.3393i	0.659859	+	0.424066i
$716$	−6.08973	+	0.875571i	−0.227584	+	0.0327216i
$717$	24.3111	−	15.2765i	0.907914	−	0.570511i
$718$	−7.16063	+	24.3869i	−0.267232	+	0.910110i
$719$	6.39185	+	2.91906i	0.238376	+	0.108863i	0.531021	−	0.847358i	$-0.321808\pi$
$719$	6.39185	+	2.91906i	0.238376	+	0.108863i	−0.292646	+	0.956221i	$0.594536\pi$
$720$	−1.30140	+	2.70272i	−0.0485004	+	0.100724i
$721$	0.325319	−	2.26264i	0.0121155	−	0.0842652i
$722$	−12.4929	−	42.5470i	−0.464939	−	1.58344i
$723$	−32.0271	+	36.2101i	−1.19110	+	1.34667i
$724$	14.0367	+	21.8416i	0.521671	+	0.811737i
$725$	−21.8639	−	34.0208i	−0.812004	−	1.26350i
$726$	8.68414	−	9.81835i	0.322299	−	0.364393i
$727$	1.58018	+	5.38160i	0.0586056	+	0.199593i	0.983592	−	0.180408i	$-0.0577419\pi$
$727$	1.58018	+	5.38160i	0.0586056	+	0.199593i	−0.924986	+	0.380001i	$0.875924\pi$
$728$	0.692767	−	4.81830i	0.0256757	−	0.178578i
$729$	2.20461	+	26.9098i	0.0816522	+	0.996661i
$730$	5.96986	+	2.72634i	0.220954	+	0.100906i
$731$	−1.36487	+	4.64831i	−0.0504814	+	0.171924i
$732$	−12.1690	+	7.64672i	−0.449781	+	0.282631i
$733$	7.49426	−	1.07751i	0.276807	−	0.0397988i	−0.00251330	−	0.999997i	$-0.500800\pi$
$733$	7.49426	−	1.07751i	0.276807	−	0.0397988i	0.279320	+	0.960198i	$0.409891\pi$
$734$	2.14846	+	1.38073i	0.0793012	+	0.0509638i
$735$	1.71668	−	0.229017i	0.0633208	−	0.00844742i
$736$	3.92920	+	2.74979i	0.144832	+	0.101359i
$737$		−	34.6054i		−	1.27471i
$738$	22.3482	+	7.05912i	0.822650	+	0.259850i
$739$	1.26213	+	8.77834i	0.0464284	+	0.322916i	0.999778	+	0.0210494i	$0.00670073\pi$
$739$	1.26213	+	8.77834i	0.0464284	+	0.322916i	−0.953350	+	0.301867i	$0.902390\pi$
$740$	−4.48326	+	2.04743i	−0.164808	+	0.0752652i
$741$	10.2253	−	66.3203i	0.375635	−	2.43634i
$742$	2.59963	−	5.69239i	0.0954353	−	0.208974i
$743$	−5.04208	+	5.81888i	−0.184976	+	0.213474i	−0.840662	−	0.541560i	$-0.817834\pi$
$743$	−5.04208	+	5.81888i	−0.184976	+	0.213474i	0.655686	+	0.755034i	$0.272379\pi$
$744$	−6.51760	−	0.0663258i	−0.238947	−	0.00243162i
$745$	−18.7940	+	5.51841i	−0.688558	+	0.202179i
$746$	−2.72289	−	3.14238i	−0.0996921	−	0.115051i
$747$	4.25647	−	4.71484i	0.155736	−	0.172507i
$748$	−2.81793	+	1.81097i	−0.103034	+	0.0662157i
$749$	1.28571	−	1.11407i	0.0469788	−	0.0407073i
$750$	6.33060	+	14.2439i	0.231161	+	0.520114i
$751$	39.4026	+	5.66525i	1.43782	+	0.206728i	0.816735	−	0.577013i	$-0.195782\pi$
$751$	39.4026	+	5.66525i	1.43782	+	0.206728i	0.621088	+	0.783741i	$0.286691\pi$
$752$	−2.19943	−	1.90581i	−0.0802048	−	0.0694979i
$753$	10.1543	−	33.3240i	0.370042	−	1.21439i
$754$	−47.2190	−	13.8648i	−1.71962	−	0.504925i
$755$	3.31230	+	7.25293i	0.120547	+	0.263961i
$756$	4.45499	−	2.67452i	0.162027	−	0.0972712i
$757$	−27.4206	+	42.6673i	−0.996619	+	1.55077i	−0.171989	+	0.985099i	$0.555019\pi$
$757$	−27.4206	+	42.6673i	−0.996619	+	1.55077i	−0.824631	+	0.565671i	$0.808617\pi$
$758$	−20.3575			−0.739417
$759$	35.7495	+	1.77434i	1.29763	+	0.0644045i
$760$	7.95812			0.288671
$761$	−21.3137	+	33.1648i	−0.772622	+	1.20222i	0.202223	+	0.979339i	$0.435183\pi$
$761$	−21.3137	+	33.1648i	−0.772622	+	1.20222i	−0.974845	+	0.222884i	$0.928453\pi$
$762$	−36.8555	+	10.4156i	−1.33513	+	0.377316i
$763$	−5.87706	−	12.8690i	−0.212764	−	0.465888i
$764$	17.2143	+	5.05457i	0.622790	+	0.182868i
$765$	0.378763	−	2.30090i	0.0136942	−	0.0831893i
$766$	2.39331	+	2.07382i	0.0864739	+	0.0749300i
$767$	−20.5691	−	2.95739i	−0.742707	−	0.106785i
$768$	1.58277	−	0.703450i	0.0571133	−	0.0253836i
$769$	40.4916	−	35.0862i	1.46016	−	1.26524i	0.560865	−	0.827907i	$-0.310469\pi$
$769$	40.4916	−	35.0862i	1.46016	−	1.26524i	0.899300	−	0.437333i	$-0.144077\pi$
$770$	3.62466	−	2.32943i	0.130624	−	0.0839467i
$771$	22.0401	+	25.9648i	0.793754	+	0.935101i
$772$	0.833439	+	0.961840i	0.0299961	+	0.0346174i
$773$	−7.21020	+	2.11711i	−0.259333	+	0.0761471i	−0.408815	−	0.912617i	$-0.634058\pi$
$773$	−7.21020	+	2.11711i	−0.259333	+	0.0761471i	0.149482	+	0.988765i	$0.452240\pi$
$774$	−2.28358	−	18.5562i	−0.0820816	−	0.666987i
$775$	−9.85776	+	11.3765i	−0.354101	+	0.408655i
$776$	1.20719	−	2.64338i	0.0433356	−	0.0948917i
$777$	8.43775	+	1.30094i	0.302703	+	0.0466708i
$778$	−20.8104	+	9.50377i	−0.746088	+	0.340727i
$779$	−8.84858	−	61.5432i	−0.317033	−	2.20502i
$780$	7.63270	+	3.58005i	0.273295	+	0.128186i
$781$			44.8516i			1.60492i
$782$	−3.53291	−	1.19047i	−0.126337	−	0.0425710i
$783$	−20.3537	−	48.4282i	−0.727381	−	1.73068i
$784$	−0.841254	−	0.540641i	−0.0300448	−	0.0193086i
$785$	11.9892	−	1.72379i	0.427913	−	0.0615246i
$786$	2.37166	+	3.77427i	0.0845943	+	0.134624i
$787$	−9.79753	+	33.3673i	−0.349244	+	1.18942i	0.578338	+	0.815797i	$0.303702\pi$
$787$	−9.79753	+	33.3673i	−0.349244	+	1.18942i	−0.927582	+	0.373619i	$0.878117\pi$
$788$	7.68226	+	3.50837i	0.273669	+	0.124981i
$789$	−19.7018	+	29.9814i	−0.701404	+	1.06737i
$790$	−0.277470	+	1.92985i	−0.00987195	+	0.0686609i
$791$	−2.95964	−	10.0796i	−0.105233	−	0.358390i
$792$	7.20879	−	10.7305i	0.256153	−	0.381291i
$793$	21.8377	+	33.9801i	0.775478	+	1.20667i
$794$	−11.3166	−	17.6089i	−0.401610	−	0.624917i
$795$	8.11818	+	7.18037i	0.287922	+	0.254661i
$796$	1.84296	+	6.27654i	0.0653219	+	0.222466i
$797$	−5.97859	+	41.5820i	−0.211772	+	1.47291i	0.555461	+	0.831542i	$0.312542\pi$
$797$	−5.97859	+	41.5820i	−0.211772	+	1.47291i	−0.767234	+	0.641367i	$0.778367\pi$
$798$	−11.5203	−	7.57042i	−0.407816	−	0.267990i
$799$	2.05788	+	0.939801i	0.0728025	+	0.0332478i
$800$	1.12698	−	3.83815i	0.0398448	−	0.135699i
$801$	25.8202	+	31.0531i	0.912311	+	1.09721i
$802$	21.2081	−	3.04927i	0.748885	−	0.107673i
$803$	−23.7928	−	15.2907i	−0.839628	−	0.539596i
$804$	−1.83938	−	13.7877i	−0.0648698	−	0.486256i
$805$	4.54433	+	1.53128i	0.160167	+	0.0539705i
$806$			18.3184i			0.645237i
$807$	−23.8023	+	50.7468i	−0.837881	+	1.78637i
$808$	1.59590	+	11.0998i	0.0561437	+	0.390488i
$809$	46.4601	−	21.2176i	1.63345	−	0.745972i	0.633829	−	0.773473i	$-0.281482\pi$
$809$	46.4601	−	21.2176i	1.63345	−	0.745972i	0.999622	+	0.0275007i	$0.00875486\pi$
$810$	2.18189	+	8.73066i	0.0766638	+	0.306764i
$811$	−6.42184	+	14.0619i	−0.225501	+	0.493779i	−0.988237	−	0.152931i	$-0.951129\pi$
$811$	−6.42184	+	14.0619i	−0.225501	+	0.493779i	0.762735	+	0.646711i	$0.223856\pi$
$812$	−6.62045	+	7.64040i	−0.232332	+	0.268126i
$813$	0.0265815	−	2.61207i	0.000932254	−	0.0916092i
$814$	20.3793	−	5.98391i	0.714295	−	0.209736i
$815$	−8.23870	−	9.50796i	−0.288589	−	0.333049i
$816$	−1.02648	+	0.871323i	−0.0359341	+	0.0305024i
$817$	−41.7261	+	26.8157i	−1.45981	+	0.938164i
$818$	10.8423	−	9.39488i	0.379091	−	0.328484i
$819$	−7.64363	−	12.4434i	−0.267090	−	0.434808i
$820$	7.73198	+	1.11169i	0.270012	+	0.0388219i
$821$	26.0253	+	22.5510i	0.908288	+	0.787036i	0.977581	−	0.210560i	$-0.0675288\pi$
$821$	26.0253	+	22.5510i	0.908288	+	0.787036i	−0.0692927	+	0.997596i	$0.522074\pi$
$822$	−14.0775	−	4.28961i	−0.491010	−	0.149617i
$823$	1.13660	+	0.333737i	0.0396195	+	0.0116333i	0.301482	−	0.953472i	$-0.402519\pi$
$823$	1.13660	+	0.333737i	0.0396195	+	0.0116333i	−0.261863	+	0.965105i	$0.584337\pi$
$824$	−0.949601	−	2.07934i	−0.0330809	−	0.0724371i
$825$	−8.11926	−	28.7300i	−0.282676	−	1.00025i
$826$	−2.30797	+	3.59127i	−0.0803046	+	0.124956i
$827$	−15.7040			−0.546080			−0.273040	−	0.962003i	$-0.588029\pi$
$827$	−15.7040			−0.546080			−0.273040	+	0.962003i	$0.588029\pi$
$828$	14.3379	−	1.19325i	0.498277	−	0.0414682i
$829$	−23.9717			−0.832572			−0.416286	−	0.909234i	$-0.636668\pi$
$829$	−23.9717			−0.832572			−0.416286	+	0.909234i	$0.636668\pi$
$830$	1.14460	−	1.78104i	0.0397297	−	0.0618207i
$831$	5.64547	+	19.9765i	0.195839	+	0.692977i
$832$	−2.02218	−	4.42795i	−0.0701064	−	0.153512i
$833$	0.745872	+	0.219008i	0.0258429	+	0.00758817i
$834$	−1.57436	−	0.479728i	−0.0545156	−	0.0166116i
$835$	−13.8063	−	11.9632i	−0.477786	−	0.414004i
$836$	−33.9459	−	4.88068i	−1.17404	−	0.168802i
$837$	−15.1617	+	12.3480i	−0.524067	+	0.426809i
$838$	−13.4636	+	11.6663i	−0.465092	+	0.403005i
$839$	−25.3287	+	16.2778i	−0.874443	+	0.561971i	−0.899109	−	0.437725i	$-0.855784\pi$
$839$	−25.3287	+	16.2778i	−0.874443	+	0.561971i	0.0246654	+	0.999696i	$0.492148\pi$
$840$	1.32035	−	1.12077i	0.0455564	−	0.0386703i
$841$	47.9397	+	55.3254i	1.65309	+	1.90777i
$842$	−13.0181	+	3.82246i	−0.448634	+	0.131731i
$843$	−0.535416	+	52.6134i	−0.0184407	+	1.81210i
$844$	12.9401	−	14.9337i	0.445416	−	0.514038i
$845$	4.44286	−	9.72850i	0.152839	−	0.334671i
$846$	−8.72896	−	0.177678i	−0.300108	−	0.00610868i
$847$	−6.88391	+	3.14377i	−0.236534	+	0.108021i
$848$	−0.890592	−	6.19421i	−0.0305831	−	0.212710i
$849$	−1.43326	+	3.05573i	−0.0491895	+	0.104872i
$850$			3.10958i			0.106658i
$851$	19.3674	+	13.5540i	0.663907	+	0.464625i
$852$	2.38400	+	17.8701i	0.0816744	+	0.612221i
$853$	−17.8854	−	11.4942i	−0.612384	−	0.393555i	0.197366	−	0.980330i	$-0.436761\pi$
$853$	−17.8854	−	11.4942i	−0.612384	−	0.393555i	−0.809750	+	0.586774i	$0.800398\pi$
$854$	8.21329	−	1.18089i	0.281053	−	0.0404093i
$855$	18.3575	−	15.2639i	0.627812	−	0.522016i
$856$	0.479294	−	1.63232i	0.0163819	−	0.0557917i
$857$	48.2126	+	22.0179i	1.64691	+	0.752118i	0.999946	−	0.0104023i	$-0.00331122\pi$
$857$	48.2126	+	22.0179i	1.64691	+	0.752118i	0.646964	+	0.762521i	$0.276038\pi$
$858$	−30.3622	−	19.9520i	−1.03655	−	0.681152i
$859$	1.04123	−	7.24193i	0.0355264	−	0.247092i	−0.964318	−	0.264748i	$-0.914711\pi$
$859$	1.04123	−	7.24193i	0.0355264	−	0.247092i	0.999844	+	0.0176561i	$0.00562042\pi$
$860$	−1.75561	−	5.97906i	−0.0598658	−	0.203884i
$861$	−10.1354	−	8.96461i	−0.345415	−	0.305513i
$862$	−4.05237	−	6.30561i	−0.138024	−	0.214770i
$863$	−12.2127	−	19.0033i	−0.415725	−	0.646881i	0.568728	−	0.822525i	$-0.307436\pi$
$863$	−12.2127	−	19.0033i	−0.415725	−	0.646881i	−0.984454	+	0.175644i	$0.943799\pi$
$864$	2.30183	−	4.65850i	0.0783097	−	0.158485i
$865$	−3.76946	−	12.8376i	−0.128166	−	0.436492i
$866$	−0.919833	+	6.39758i	−0.0312572	+	0.217398i
$867$	−15.5955	+	23.7326i	−0.529652	+	0.806002i
$868$	3.42307	+	1.56326i	0.116186	+	0.0530606i
$869$	2.36714	−	8.06173i	0.0802996	−	0.273475i
$870$	−9.31566	−	14.8250i	−0.315830	−	0.502614i
$871$	−38.6952	+	5.56353i	−1.31114	+	0.188513i
$872$	−11.9016	−	7.64869i	−0.403039	−	0.259017i
$873$	−2.28539	−	8.41307i	−0.0773489	−	0.284739i
$874$	−19.3545	−	32.8983i	−0.654677	−	1.11280i
$875$		−	8.99936i		−	0.304234i
$876$	−10.2924	−	4.82758i	−0.347750	−	0.163109i
$877$	−1.70757	−	11.8764i	−0.0576606	−	0.401038i	−0.998128	−	0.0611552i	$-0.980522\pi$
$877$	−1.70757	−	11.8764i	−0.0576606	−	0.401038i	0.940468	−	0.339883i	$-0.110388\pi$
$878$	9.04428	−	4.13038i	0.305230	−	0.139394i
$879$	6.67305	+	1.02885i	0.225076	+	0.0347023i
$880$	1.78987	−	3.91928i	0.0603366	−	0.132119i
$881$	18.0226	−	20.7992i	0.607198	−	0.700744i	−0.366025	−	0.930605i	$-0.619282\pi$
$881$	18.0226	−	20.7992i	0.607198	−	0.700744i	0.973224	+	0.229861i	$0.0738271\pi$
$882$	−2.97754	+	0.366425i	−0.100259	+	0.0123382i
$883$	12.2256	−	3.58975i	0.411423	−	0.120805i	−0.0694700	−	0.997584i	$-0.522131\pi$
$883$	12.2256	−	3.58975i	0.411423	−	0.120805i	0.480893	+	0.876779i	$0.340313\pi$
$884$	2.47804	+	2.85981i	0.0833456	+	0.0961859i
$885$	−4.78452	−	5.63651i	−0.160830	−	0.189469i
$886$	−8.95035	+	5.75204i	−0.300693	+	0.193243i
$887$	11.1308	−	9.64492i	0.373737	−	0.323845i	−0.447658	−	0.894205i	$-0.647742\pi$
$887$	11.1308	−	9.64492i	0.373737	−	0.323845i	0.821395	+	0.570360i	$0.193196\pi$
$888$	7.80163	−	3.46738i	0.261805	−	0.116358i
$889$	21.8869	+	3.14686i	0.734062	+	0.105542i
$890$	10.1728	+	8.81478i	0.340993	+	0.295472i
$891$	−3.95252	−	38.5794i	−0.132414	−	1.29246i
$892$	−5.73899	−	1.68512i	−0.192156	−	0.0564220i
$893$	9.62196	+	21.0692i	0.321987	+	0.705053i
$894$	32.6507	−	9.22727i	1.09200	−	0.308606i
$895$	−3.32591	+	5.17521i	−0.111173	+	0.172988i
$896$	−1.00000			−0.0334077
$897$	−3.76344	−	40.2599i	−0.125658	−	1.34424i
$898$	−1.04199			−0.0347717
$899$	20.5682	−	32.0048i	0.685988	−	1.06742i
$900$	−4.76203	−	11.0153i	−0.158734	−	0.367176i
$901$	2.02085	+	4.42504i	0.0673242	+	0.147419i
$902$	−32.2995	−	9.48398i	−1.07545	−	0.315782i
$903$	−3.14632	+	10.3255i	−0.104703	+	0.343611i
$904$	−7.93926	−	6.87941i	−0.264056	−	0.228806i
$905$	25.6965	+	3.69460i	0.854182	+	0.122813i
$906$	−5.60946	−	12.6213i	−0.186362	−	0.419316i
$907$	−15.5420	+	13.4672i	−0.516063	+	0.447171i	−0.873541	−	0.486750i	$-0.838182\pi$
$907$	−15.5420	+	13.4672i	−0.516063	+	0.447171i	0.357478	+	0.933922i	$0.383637\pi$
$908$	0.942534	−	0.605730i	0.0312791	−	0.0201018i
$909$	24.9711	+	22.5435i	0.828238	+	0.747719i
$910$	−3.18747	−	3.67854i	−0.105664	−	0.121942i
$911$	−6.66479	+	1.95696i	−0.220814	+	0.0648370i	−0.390268	−	0.920701i	$-0.627618\pi$
$911$	−6.66479	+	1.95696i	−0.220814	+	0.0648370i	0.169454	+	0.985538i	$0.445800\pi$
$912$	−13.7844	−	0.140276i	−0.456448	−	0.00464500i
$913$	−5.97468	+	6.89515i	−0.197733	+	0.228196i
$914$	−10.2894	+	22.5306i	−0.340343	+	0.745247i
$915$	−2.18982	+	14.2030i	−0.0723932	+	0.469536i
$916$	4.92855	−	2.25079i	0.162844	−	0.0743683i
$917$	−0.366258	−	2.54738i	−0.0120949	−	0.0841220i
$918$	−0.696620	+	3.97876i	−0.0229919	+	0.131319i
$919$			5.78006i			0.190667i	0.995445	+	0.0953333i	$0.0303917\pi$
$919$			5.78006i			0.190667i	−0.995445	+	0.0953333i	$0.969608\pi$
$920$	4.65081	−	1.16866i	0.153333	−	0.0385295i
$921$	−46.4407	+	6.19550i	−1.53027	+	0.204149i
$922$	−30.5759	−	19.6500i	−1.00696	−	0.647137i
$923$	50.1525	−	7.21083i	1.65079	−	0.237348i
$924$	−6.31941	+	3.97096i	−0.207893	+	0.130635i
$925$	5.55501	−	18.9186i	0.182647	−	0.622040i
$926$	−24.0965	−	11.0045i	−0.791860	−	0.361630i
$927$	−6.17874	−	2.97516i	−0.202937	−	0.0977171i
$928$	−1.43876	+	10.0068i	−0.0472296	+	0.328489i
$929$	−3.25360	−	11.0808i	−0.106747	−	0.363548i	0.888744	−	0.458405i	$-0.151579\pi$
$929$	−3.25360	−	11.0808i	−0.106747	−	0.363548i	−0.995491	+	0.0948566i	$0.969761\pi$
$930$	−4.31785	+	4.88179i	−0.141588	+	0.160080i
$931$	4.30288	+	6.69541i	0.141021	+	0.219433i
$932$	−8.70362	−	13.5431i	−0.285097	−	0.443619i
$933$	−35.5356	+	40.1768i	−1.16338	+	1.31533i
$934$	0.710723	+	2.42050i	0.0232556	+	0.0792012i
$935$	−0.476665	+	3.31528i	−0.0155886	+	0.108421i
$936$	−13.1576	−	6.33561i	−0.430071	−	0.207086i
$937$	−24.4086	−	11.1470i	−0.797395	−	0.364158i	−0.0253116	−	0.999680i	$-0.508058\pi$
$937$	−24.4086	−	11.1470i	−0.797395	−	0.364158i	−0.772083	+	0.635522i	$0.780785\pi$
$938$	−2.26256	+	7.70558i	−0.0738753	+	0.251596i
$939$	29.0571	−	18.2588i	0.948243	−	0.595852i
$940$	−2.88037	+	0.414135i	−0.0939473	+	0.0135076i
$941$	6.23663	+	4.00804i	0.203308	+	0.130658i	0.638333	−	0.769760i	$-0.279624\pi$
$941$	6.23663	+	4.00804i	0.203308	+	0.130658i	−0.435025	+	0.900418i	$0.643260\pi$
$942$	−20.7971	+	2.77448i	−0.677607	+	0.0903973i
$943$	−14.2089	−	34.6671i	−0.462705	−	1.12892i
$944$			4.26895i			0.138943i
$945$	0.896053	−	5.11783i	0.0291486	−	0.166483i
$946$	3.82174	+	26.5808i	0.124255	+	0.864216i
$947$	5.01017	−	2.28807i	0.162809	−	0.0743523i	−0.332344	−	0.943158i	$-0.607839\pi$
$947$	5.01017	−	2.28807i	0.162809	−	0.0743523i	0.495153	+	0.868806i	$0.335112\pi$
$948$	0.514629	−	3.33784i	0.0167144	−	0.108408i
$949$	−13.2726	+	29.0630i	−0.430848	+	0.943426i
$950$	−20.8487	+	24.0607i	−0.676421	+	0.780632i
$951$	15.5089	+	0.157825i	0.502910	+	0.00511782i
$952$	0.745872	−	0.219008i	0.0241738	−	0.00709808i
$953$	10.2130	+	11.7865i	0.330833	+	0.381802i	0.896658	−	0.442724i	$-0.145988\pi$
$953$	10.2130	+	11.7865i	0.330833	+	0.381802i	−0.565825	+	0.824525i	$0.691442\pi$
$954$	−13.9351	−	12.5804i	−0.451165	−	0.407304i
$955$	15.0916	−	9.69875i	0.488351	−	0.313844i
$956$	−12.5281	+	10.8557i	−0.405189	+	0.351098i
$957$	30.6444	+	68.9503i	0.990594	+	2.22885i
$958$	23.1184	+	3.32392i	0.746921	+	0.107391i
$959$	6.42131	+	5.56410i	0.207355	+	0.179674i
$960$	0.504815	−	1.65669i	0.0162928	−	0.0534693i
$961$	16.1567	+	4.74405i	0.521185	+	0.153034i
$962$	−9.96752	−	21.8258i	−0.321366	−	0.703693i
$963$	−2.02524	−	4.68468i	−0.0652624	−	0.150962i
$964$	15.0893	−	23.4794i	0.485993	−	0.756221i
$965$	1.27258			0.0409658
$966$	−7.84434	−	2.73246i	−0.252387	−	0.0879155i
$967$	46.1400			1.48376			0.741881	−	0.670532i	$-0.233934\pi$
$967$	46.1400			1.48376			0.741881	+	0.670532i	$0.233934\pi$
$968$	−4.09146	+	6.36643i	−0.131504	+	0.204625i
$969$	10.3121	−	2.91427i	0.331273	−	0.0936197i
$970$	−1.20708	−	2.64314i	−0.0387570	−	0.0848660i
$971$	−50.5655	−	14.8474i	−1.62272	−	0.476474i	−0.660975	−	0.750408i	$-0.729857\pi$
$971$	−50.5655	−	14.8474i	−1.62272	−	0.476474i	−0.961749	+	0.273934i	$0.911675\pi$
$972$	−3.62540	−	15.1610i	−0.116285	−	0.486290i
$973$	0.718127	+	0.622261i	0.0230221	+	0.0199488i
$974$	21.0841	+	3.03144i	0.675580	+	0.0971337i
$975$	−30.8201	+	13.6978i	−0.987034	+	0.438680i
$976$	6.27102	−	5.43387i	0.200730	−	0.173934i
$977$	16.8893	−	10.8541i	0.540335	−	0.347252i	−0.241835	−	0.970317i	$-0.577749\pi$
$977$	16.8893	−	10.8541i	0.540335	−	0.347252i	0.782170	+	0.623065i	$0.214113\pi$
$978$	14.1028	+	16.6141i	0.450958	+	0.531262i
$979$	−37.9867	−	43.8390i	−1.21406	−	1.40110i
$980$	−0.959405	+	0.281707i	−0.0306471	+	0.00899879i
$981$	−42.1246	+	5.18398i	−1.34493	+	0.165512i
$982$	−20.7061	+	23.8962i	−0.660760	+	0.762557i
$983$	−8.33807	+	18.2578i	−0.265943	+	0.582334i	−0.994744	−	0.102391i	$-0.967351\pi$
$983$	−8.33807	+	18.2578i	−0.265943	+	0.582334i	0.728801	+	0.684726i	$0.240078\pi$
$984$	−13.3731	−	2.06187i	−0.426319	−	0.0657300i
$985$	7.68156	−	3.50805i	0.244755	−	0.111776i
$986$	−1.11844	−	7.77889i	−0.0356182	−	0.247730i
$987$	4.56365	+	2.14054i	0.145263	+	0.0681341i
$988$			38.7425i			1.23256i
$989$	−20.4473	+	21.7989i	−0.650185	+	0.693165i
$990$	−3.38850	−	12.4739i	−0.107694	−	0.396446i
$991$	26.1360	+	16.7966i	0.830237	+	0.533561i	0.885353	−	0.464919i	$-0.153916\pi$
$991$	26.1360	+	16.7966i	0.830237	+	0.533561i	−0.0551159	+	0.998480i	$0.517553\pi$
$992$	3.72483	−	0.535549i	0.118263	−	0.0170037i
$993$	28.3928	+	45.1844i	0.901017	+	1.43388i
$994$	2.93248	−	9.98711i	0.0930126	−	0.316772i
$995$	5.94983	+	2.71720i	0.188622	+	0.0861409i
$996$	−2.01398	+	3.06479i	−0.0638155	+	0.0971117i
$997$	1.68338	−	11.7082i	0.0533133	−	0.370802i	−0.945646	−	0.325197i	$-0.894569\pi$
$997$	1.68338	−	11.7082i	0.0533133	−	0.370802i	0.998960	−	0.0456050i	$-0.0145216\pi$
$998$	1.13394	+	3.86184i	0.0358942	+	0.122244i
$999$	11.3459	−	22.9622i	0.358969	−	0.726492i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.r.b.113.20	yes	240
3.2	odd	2		966.2.r.a.113.6	✓	240
23.11	odd	22		966.2.r.a.701.6	yes	240
69.11	even	22	inner	966.2.r.b.701.20	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.r.a.113.6	✓	240	3.2	odd	2
966.2.r.a.701.6	yes	240	23.11	odd	22
966.2.r.b.113.20	yes	240	1.1	even	1	trivial
966.2.r.b.701.20	yes	240	69.11	even	22	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.r (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.540641 - 0.841254i) q^{2} +(0.471039 + 1.66677i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.959405 - 0.281707i) q^{5} +(1.65684 + 0.504861i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.55625 + 1.57023i) q^{9} +O(q^{10})\)	\(q+(0.540641 - 0.841254i) q^{2} +(0.471039 + 1.66677i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.959405 - 0.281707i) q^{5} +(1.65684 + 0.504861i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(-0.989821 - 0.142315i) q^{8} +(-2.55625 + 1.57023i) q^{9} +(-0.755680 + 0.654801i) q^{10} +(3.62499 - 2.32964i) q^{11} +(1.32047 - 1.12087i) q^{12} +(-3.18776 - 3.67888i) q^{13} +(-0.959493 + 0.281733i) q^{14} +(0.0176236 - 1.73180i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.322927 - 0.707112i) q^{17} +(-0.0610522 + 2.99938i) q^{18} +(7.23962 - 3.30622i) q^{19} +(0.142302 + 0.989731i) q^{20} +(0.735515 - 1.56813i) q^{21} -4.30904i q^{22} +(3.74539 - 2.99534i) q^{23} +(-0.229038 - 1.71684i) q^{24} +(-3.36517 - 2.16266i) q^{25} +(-4.81830 + 0.692767i) q^{26} +(-3.82130 - 3.52104i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(9.19611 + 4.19972i) q^{29} +(-1.44736 - 0.951109i) q^{30} +(0.535549 - 3.72483i) q^{31} +(0.281733 + 0.959493i) q^{32} +(5.59049 + 4.94468i) q^{33} +(-0.420273 - 0.653957i) q^{34} +(0.540591 + 0.841176i) q^{35} +(2.49023 + 1.67295i) q^{36} +(1.38869 + 4.72944i) q^{37} +(1.13266 - 7.87784i) q^{38} +(4.63028 - 7.04616i) q^{39} +(0.909549 + 0.415377i) q^{40} +(2.20095 - 7.49575i) q^{41} +(-0.921542 - 1.46655i) q^{42} +(-6.16861 + 0.886913i) q^{43} +(-3.62499 - 2.32964i) q^{44} +(2.89482 - 0.786371i) q^{45} +(-0.494929 - 4.77022i) q^{46} +2.91026i q^{47} +(-1.56813 - 0.735515i) q^{48} +(0.142315 + 0.989821i) q^{49} +(-3.63869 + 1.66174i) q^{50} +(1.33070 + 0.205168i) q^{51} +(-2.02218 + 4.42795i) q^{52} +(-4.09805 + 4.72941i) q^{53} +(-5.02803 + 1.31106i) q^{54} +(-4.13411 + 1.21388i) q^{55} +(0.654861 + 0.755750i) q^{56} +(8.92086 + 10.5094i) q^{57} +(8.50482 - 5.46572i) q^{58} +(3.22626 - 2.79557i) q^{59} +(-1.58262 + 0.703386i) q^{60} +(-8.21329 - 1.18089i) q^{61} +(-2.84399 - 2.46433i) q^{62} +(2.96016 + 0.487287i) q^{63} +(0.959493 + 0.281733i) q^{64} +(2.02199 + 4.42755i) q^{65} +(7.18217 - 2.02972i) q^{66} +(4.34182 - 6.75601i) q^{67} -0.777361 q^{68} +(6.75676 + 4.83178i) q^{69} +0.999908 q^{70} +(-5.62739 + 8.75639i) q^{71} +(2.75369 - 1.19045i) q^{72} +(-2.72659 - 5.97040i) q^{73} +(4.72944 + 1.38869i) q^{74} +(2.01954 - 6.62766i) q^{75} +(-6.01490 - 5.21194i) q^{76} +(-4.26518 - 0.613240i) q^{77} +(-3.42429 - 7.70468i) q^{78} +(1.47361 - 1.27689i) q^{79} +(0.841176 - 0.540591i) q^{80} +(4.06878 - 8.02777i) q^{81} +(-5.11590 - 5.90407i) q^{82} +(-2.03155 + 0.596517i) q^{83} +(-1.73196 - 0.0176252i) q^{84} +(-0.509016 + 0.587436i) q^{85} +(-2.58889 + 5.66887i) q^{86} +(-2.66825 + 17.3060i) q^{87} +(-3.91964 + 1.79004i) q^{88} +(-1.91581 - 13.3248i) q^{89} +(0.903519 - 2.86042i) q^{90} +4.86785i q^{91} +(-4.28055 - 2.16262i) q^{92} +(6.46070 - 0.861900i) q^{93} +(2.44826 + 1.57340i) q^{94} +(-7.87712 + 1.13256i) q^{95} +(-1.46655 + 0.921542i) q^{96} +(-0.818711 + 2.78827i) q^{97} +(0.909632 + 0.415415i) q^{98} +(-5.60831 + 11.6472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9}+O(q^{10}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9	\( 240 q - 4 q^{3} + 24 q^{4} + 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} - 24 q^{14} + 26 q^{15} - 24 q^{16} - 32 q^{17} + 40 q^{18} - 4 q^{20} + 8 q^{23} + 12 q^{25} + 116 q^{27} + 4 q^{30} + 16 q^{31} + 2 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} - 154 q^{41} - 4 q^{42} + 22 q^{43} - 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} - 88 q^{50} - 24 q^{51} + 8 q^{52} + 108 q^{53} + 12 q^{54} - 16 q^{55} + 24 q^{56} - 70 q^{57} - 4 q^{58} - 22 q^{59} - 26 q^{60} + 4 q^{63} + 24 q^{64} - 76 q^{66} - 44 q^{67} + 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} + 16 q^{74} - 26 q^{75} - 78 q^{78} + 4 q^{80} - 168 q^{81} + 8 q^{82} - 16 q^{83} - 28 q^{85} - 16 q^{86} + 156 q^{87} - 24 q^{89} - 126 q^{90} - 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} - 172 q^{99}+O(q^{100}) \) 240 * q - 4 * q^3 + 24 * q^4 + 4 * q^5 + 4 * q^9 + 4 * q^12 - 8 * q^13 - 24 * q^14 + 26 * q^15 - 24 * q^16 - 32 * q^17 + 40 * q^18 - 4 * q^20 + 8 * q^23 + 12 * q^25 + 116 * q^27 + 4 * q^30 + 16 * q^31 + 2 * q^33 - 4 * q^36 + 22 * q^37 + 8 * q^39 - 154 * q^41 - 4 * q^42 + 22 * q^43 - 24 * q^45 + 4 * q^46 - 4 * q^48 + 24 * q^49 - 88 * q^50 - 24 * q^51 + 8 * q^52 + 108 * q^53 + 12 * q^54 - 16 * q^55 + 24 * q^56 - 70 * q^57 - 4 * q^58 - 22 * q^59 - 26 * q^60 + 4 * q^63 + 24 * q^64 - 76 * q^66 - 44 * q^67 + 32 * q^68 - 86 * q^69 + 4 * q^70 + 4 * q^72 - 12 * q^73 + 16 * q^74 - 26 * q^75 - 78 * q^78 + 4 * q^80 - 168 * q^81 + 8 * q^82 - 16 * q^83 - 28 * q^85 - 16 * q^86 + 156 * q^87 - 24 * q^89 - 126 * q^90 - 8 * q^92 - 16 * q^93 - 8 * q^94 + 132 * q^97 - 172 * q^99

Introduction

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