LMFDB - Embedded newform 690.2.q.b.11.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(11,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 0, 9]))

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

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

chi := DirichletCharacter("690.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.q (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:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.4
Character	$\chi$	$=$	690.11
Dual form			690.2.q.b.251.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 - 0.841254i) q^{2} +(-0.329943 + 1.70033i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.60879 - 0.641705i) q^{6} +(0.461235 - 0.399662i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.78228 - 1.12203i) q^{9} +O(q^{10})$	\(q+(-0.540641 - 0.841254i) q^{2} +(-0.329943 + 1.70033i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.60879 - 0.641705i) q^{6} +(0.461235 - 0.399662i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.78228 - 1.12203i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(5.37960 + 3.45726i) q^{11} +(-1.40962 - 1.00647i) q^{12} +(-1.40018 + 1.61589i) q^{13} +(-0.585580 - 0.171942i) q^{14} +(0.162462 + 1.72441i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(0.579107 + 1.26807i) q^{17} +(0.560302 + 2.94721i) q^{18} +(-1.70660 - 0.779379i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(0.527378 + 0.916119i) q^{21} -6.39475i q^{22} +(-0.323878 - 4.78488i) q^{23} +(-0.0846018 + 1.72998i) q^{24} +(0.841254 - 0.540641i) q^{25} +(2.11636 + 0.304287i) q^{26} +(2.82581 - 4.36059i) q^{27} +(0.171942 + 0.585580i) q^{28} +(2.48534 - 1.13502i) q^{29} +(1.36284 - 1.06896i) q^{30} +(1.19880 + 8.33783i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-7.65346 + 8.00643i) q^{33} +(0.753677 - 1.17274i) q^{34} +(0.329954 - 0.513418i) q^{35} +(2.17643 - 2.06474i) q^{36} +(-2.27843 + 7.75963i) q^{37} +(0.267003 + 1.85705i) q^{38} +(-2.28557 - 2.91392i) q^{39} +(0.909632 - 0.415415i) q^{40} +(1.65607 + 5.64005i) q^{41} +(0.485566 - 0.938950i) q^{42} +(3.10873 + 0.446968i) q^{43} +(-5.37960 + 3.45726i) q^{44} +(-2.98569 - 0.292720i) q^{45} +(-3.85020 + 2.85937i) q^{46} +4.99298i q^{47} +(1.50109 - 0.864128i) q^{48} +(-0.943196 + 6.56007i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(-2.34721 + 0.566286i) q^{51} +(-0.888210 - 1.94491i) q^{52} +(0.888367 + 1.02523i) q^{53} +(-5.19612 - 0.0197109i) q^{54} +(6.13572 + 1.80161i) q^{55} +(0.399662 - 0.461235i) q^{56} +(1.88829 - 2.64464i) q^{57} +(-2.29852 - 1.47717i) q^{58} +(9.84131 + 8.52754i) q^{59} +(-1.63607 - 0.568568i) q^{60} +(3.36348 - 0.483595i) q^{61} +(6.36611 - 5.51627i) q^{62} +(-1.73171 + 0.594452i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-0.888210 + 1.94491i) q^{65} +(10.8732 + 2.10990i) q^{66} +(-6.61576 - 10.2943i) q^{67} -1.39404 q^{68} +(8.24276 + 1.02804i) q^{69} -0.610301 q^{70} +(-4.73042 - 7.36068i) q^{71} +(-2.91364 - 0.714647i) q^{72} +(-5.31978 + 11.6487i) q^{73} +(7.75963 - 2.27843i) q^{74} +(0.641705 + 1.60879i) q^{75} +(1.41790 - 1.22861i) q^{76} +(3.86300 - 0.555415i) q^{77} +(-1.21567 + 3.49813i) q^{78} +(1.63339 + 1.41534i) q^{79} +(-0.841254 - 0.540641i) q^{80} +(6.48211 + 6.24358i) q^{81} +(3.84937 - 4.44241i) q^{82} +(-10.4392 - 3.06521i) q^{83} +(-1.05241 + 0.0991505i) q^{84} +(0.912905 + 1.05355i) q^{85} +(-1.30469 - 2.85688i) q^{86} +(1.10989 + 4.60041i) q^{87} +(5.81687 + 2.65647i) q^{88} +(1.23916 - 8.61853i) q^{89} +(1.36793 + 2.66997i) q^{90} +1.30490i q^{91} +(4.48703 + 1.69310i) q^{92} +(-14.5726 - 0.712650i) q^{93} +(4.20036 - 2.69941i) q^{94} +(-1.85705 - 0.267003i) q^{95} +(-1.53850 - 0.795618i) q^{96} +(-1.06339 - 3.62156i) q^{97} +(6.02862 - 2.75318i) q^{98} +(-11.0884 - 15.6551i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9}+O(q^{10}) $ 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9	$ 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9} + 12 q^{11} + 12 q^{14} - 16 q^{16} - 8 q^{18} - 16 q^{20} + 70 q^{21} - 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} + 2 q^{30} - 4 q^{31} - 16 q^{33} + 2 q^{36} - 72 q^{38} + 140 q^{39} - 44 q^{41} + 44 q^{43} - 12 q^{44} + 2 q^{45} + 4 q^{46} + 70 q^{49} + 2 q^{51} + 52 q^{53} - 62 q^{54} + 10 q^{55} + 54 q^{56} - 94 q^{57} - 36 q^{58} - 44 q^{61} + 16 q^{64} - 54 q^{66} - 44 q^{67} - 30 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} + 24 q^{74} + 88 q^{77} - 54 q^{78} - 44 q^{79} + 16 q^{80} - 66 q^{81} - 28 q^{82} - 4 q^{83} - 4 q^{84} - 158 q^{86} + 156 q^{87} - 80 q^{89} + 8 q^{90} + 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} + 88 q^{98} - 58 q^{99}+O(q^{100}) $ 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9 + 12 * q^11 + 12 * q^14 - 16 * q^16 - 8 * q^18 - 16 * q^20 + 70 * q^21 - 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 + 2 * q^30 - 4 * q^31 - 16 * q^33 + 2 * q^36 - 72 * q^38 + 140 * q^39 - 44 * q^41 + 44 * q^43 - 12 * q^44 + 2 * q^45 + 4 * q^46 + 70 * q^49 + 2 * q^51 + 52 * q^53 - 62 * q^54 + 10 * q^55 + 54 * q^56 - 94 * q^57 - 36 * q^58 - 44 * q^61 + 16 * q^64 - 54 * q^66 - 44 * q^67 - 30 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 + 24 * q^74 + 88 * q^77 - 54 * q^78 - 44 * q^79 + 16 * q^80 - 66 * q^81 - 28 * q^82 - 4 * q^83 - 4 * q^84 - 158 * q^86 + 156 * q^87 - 80 * q^89 + 8 * q^90 + 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 + 88 * q^98 - 58 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

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
$3$	−0.329943	+	1.70033i	−0.190493	+	0.981689i
$3$	−0.329943	+	1.70033i	−0.190493	+	0.981689i
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	0.959493	−	0.281733i	0.429098	−	0.125995i
$5$	0.959493	−	0.281733i	0.429098	−	0.125995i
$6$	1.60879	−	0.641705i	0.656787	−	0.261975i
$7$	0.461235	−	0.399662i	0.174330	−	0.151058i	−0.563325	−	0.826235i	$-0.690478\pi$
$7$	0.461235	−	0.399662i	0.174330	−	0.151058i	0.737656	+	0.675177i	$0.235933\pi$
$8$	0.989821	−	0.142315i	0.349955	−	0.0503159i
$9$	−2.78228	−	1.12203i	−0.927425	−	0.374009i
$10$	−0.755750	−	0.654861i	−0.238989	−	0.207085i
$11$	5.37960	+	3.45726i	1.62201	+	1.04240i	0.954676	+	0.297646i	$0.0962016\pi$
$11$	5.37960	+	3.45726i	1.62201	+	1.04240i	0.667335	+	0.744757i	$0.267435\pi$
$12$	−1.40962	−	1.00647i	−0.406921	−	0.290543i
$13$	−1.40018	+	1.61589i	−0.388339	+	0.448167i	−0.915934	−	0.401329i	$-0.868548\pi$
$13$	−1.40018	+	1.61589i	−0.388339	+	0.448167i	0.527595	+	0.849496i	$0.323094\pi$
$14$	−0.585580	−	0.171942i	−0.156503	−	0.0459534i
$15$	0.162462	+	1.72441i	0.0419474	+	0.445242i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	0.579107	+	1.26807i	0.140454	+	0.307551i	0.966767	−	0.255660i	$-0.0822928\pi$
$17$	0.579107	+	1.26807i	0.140454	+	0.307551i	−0.826313	+	0.563212i	$0.809566\pi$
$18$	0.560302	+	2.94721i	0.132065	+	0.694665i
$19$	−1.70660	−	0.779379i	−0.391521	−	0.178802i	0.209920	−	0.977718i	$-0.432680\pi$
$19$	−1.70660	−	0.779379i	−0.391521	−	0.178802i	−0.601442	+	0.798917i	$0.705407\pi$
$20$	−0.142315	+	0.989821i	−0.0318226	+	0.221331i
$21$	0.527378	+	0.916119i	0.115083	+	0.199914i
$22$		−	6.39475i		−	1.36336i
$23$	−0.323878	−	4.78488i	−0.0675332	−	0.997717i
$23$	−0.323878	−	4.78488i	−0.0675332	−	0.997717i
$24$	−0.0846018	+	1.72998i	−0.0172693	+	0.353131i
$25$	0.841254	−	0.540641i	0.168251	−	0.108128i
$26$	2.11636	+	0.304287i	0.415053	+	0.0596756i
$27$	2.82581	−	4.36059i	0.543828	−	0.839197i
$28$	0.171942	+	0.585580i	0.0324939	+	0.110664i
$29$	2.48534	−	1.13502i	0.461517	−	0.210768i	−0.171067	−	0.985259i	$-0.554722\pi$
$29$	2.48534	−	1.13502i	0.461517	−	0.210768i	0.632584	+	0.774492i	$0.281994\pi$
$30$	1.36284	−	1.06896i	0.248819	−	0.195165i
$31$	1.19880	+	8.33783i	0.215311	+	1.49752i	0.755039	+	0.655680i	$0.227618\pi$
$31$	1.19880	+	8.33783i	0.215311	+	1.49752i	−0.539728	+	0.841839i	$0.681473\pi$
$32$	−0.281733	+	0.959493i	−0.0498038	+	0.169616i
$33$	−7.65346	+	8.00643i	−1.33230	+	1.39374i
$34$	0.753677	−	1.17274i	0.129255	−	0.201124i
$35$	0.329954	−	0.513418i	0.0557724	−	0.0867835i
$36$	2.17643	−	2.06474i	0.362738	−	0.344123i
$37$	−2.27843	+	7.75963i	−0.374572	+	1.27568i	0.529506	+	0.848306i	$0.322377\pi$
$37$	−2.27843	+	7.75963i	−0.374572	+	1.27568i	−0.904077	+	0.427369i	$0.859441\pi$
$38$	0.267003	+	1.85705i	0.0433137	+	0.301253i
$39$	−2.28557	−	2.91392i	−0.365985	−	0.466600i
$40$	0.909632	−	0.415415i	0.143825	−	0.0656829i
$41$	1.65607	+	5.64005i	0.258634	+	0.880828i	0.981762	+	0.190113i	$0.0608855\pi$
$41$	1.65607	+	5.64005i	0.258634	+	0.880828i	−0.723128	+	0.690714i	$0.757296\pi$
$42$	0.485566	−	0.938950i	0.0749245	−	0.144883i
$43$	3.10873	+	0.446968i	0.474076	+	0.0681619i	0.375212	−	0.926939i	$-0.377570\pi$
$43$	3.10873	+	0.446968i	0.474076	+	0.0681619i	0.0988644	+	0.995101i	$0.468479\pi$
$44$	−5.37960	+	3.45726i	−0.811006	+	0.521202i
$45$	−2.98569	−	0.292720i	−0.445080	−	0.0436361i
$46$	−3.85020	+	2.85937i	−0.567681	+	0.421591i
$47$			4.99298i			0.728301i	0.931340	+	0.364151i	$0.118641\pi$
$47$			4.99298i			0.728301i	−0.931340	+	0.364151i	$0.881359\pi$
$48$	1.50109	−	0.864128i	0.216664	−	0.124726i
$49$	−0.943196	+	6.56007i	−0.134742	+	0.937153i
$50$	−0.909632	−	0.415415i	−0.128641	−	0.0587486i
$51$	−2.34721	+	0.566286i	−0.328675	+	0.0792958i
$52$	−0.888210	−	1.94491i	−0.123173	−	0.269710i
$53$	0.888367	+	1.02523i	0.122027	+	0.140826i	0.813476	−	0.581599i	$-0.197573\pi$
$53$	0.888367	+	1.02523i	0.122027	+	0.140826i	−0.691449	+	0.722425i	$0.743027\pi$
$54$	−5.19612	−	0.0197109i	−0.707102	−	0.00268231i
$55$	6.13572	+	1.80161i	0.827340	+	0.242929i
$56$	0.399662	−	0.461235i	0.0534071	−	0.0616351i
$57$	1.88829	−	2.64464i	0.250110	−	0.350292i
$58$	−2.29852	−	1.47717i	−0.301810	−	0.193962i
$59$	9.84131	+	8.52754i	1.28123	+	1.11019i	0.988050	+	0.154134i	$0.0492588\pi$
$59$	9.84131	+	8.52754i	1.28123	+	1.11019i	0.293179	+	0.956057i	$0.405287\pi$
$60$	−1.63607	−	0.568568i	−0.211216	−	0.0734018i
$61$	3.36348	−	0.483595i	0.430649	−	0.0619180i	0.0764180	−	0.997076i	$-0.475652\pi$
$61$	3.36348	−	0.483595i	0.430649	−	0.0619180i	0.354231	+	0.935158i	$0.384743\pi$
$62$	6.36611	−	5.51627i	0.808497	−	0.700567i
$63$	−1.73171	+	0.594452i	−0.218175	+	0.0748940i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	−0.888210	+	1.94491i	−0.110169	+	0.241236i
$66$	10.8732	+	2.10990i	1.33840	+	0.259711i
$67$	−6.61576	−	10.2943i	−0.808244	−	1.25765i	−0.962947	−	0.269691i	$-0.913078\pi$
$67$	−6.61576	−	10.2943i	−0.808244	−	1.25765i	0.154703	−	0.987961i	$-0.450558\pi$
$68$	−1.39404			−0.169053
$69$	8.24276	+	1.02804i	0.992312	+	0.123761i
$70$	−0.610301			−0.0729449
$71$	−4.73042	−	7.36068i	−0.561398	−	0.873552i	0.438282	−	0.898837i	$-0.355587\pi$
$71$	−4.73042	−	7.36068i	−0.561398	−	0.873552i	−0.999680	+	0.0252852i	$0.991951\pi$
$72$	−2.91364	−	0.714647i	−0.343375	−	0.0842220i
$73$	−5.31978	+	11.6487i	−0.622633	+	1.36338i	0.290956	+	0.956736i	$0.406027\pi$
$73$	−5.31978	+	11.6487i	−0.622633	+	1.36338i	−0.913589	+	0.406639i	$0.866701\pi$
$74$	7.75963	−	2.27843i	0.902038	−	0.264862i
$75$	0.641705	+	1.60879i	0.0740977	+	0.185767i
$76$	1.41790	−	1.22861i	0.162644	−	0.140932i
$77$	3.86300	−	0.555415i	0.440229	−	0.0632954i
$78$	−1.21567	+	3.49813i	−0.137647	+	0.396085i
$79$	1.63339	+	1.41534i	0.183771	+	0.159239i	0.741888	−	0.670524i	$-0.233930\pi$
$79$	1.63339	+	1.41534i	0.183771	+	0.159239i	−0.558117	+	0.829762i	$0.688476\pi$
$80$	−0.841254	−	0.540641i	−0.0940550	−	0.0604455i
$81$	6.48211	+	6.24358i	0.720235	+	0.693731i
$82$	3.84937	−	4.44241i	0.425092	−	0.490582i
$83$	−10.4392	−	3.06521i	−1.14585	−	0.336451i	−0.346929	−	0.937891i	$-0.612776\pi$
$83$	−10.4392	−	3.06521i	−1.14585	−	0.336451i	−0.798918	+	0.601440i	$0.794594\pi$
$84$	−1.05241	+	0.0991505i	−0.114828	+	0.0108182i
$85$	0.912905	+	1.05355i	0.0990184	+	0.114273i
$86$	−1.30469	−	2.85688i	−0.140689	−	0.308065i
$87$	1.10989	+	4.60041i	0.118993	+	0.493215i
$88$	5.81687	+	2.65647i	0.620080	+	0.283181i
$89$	1.23916	−	8.61853i	0.131350	−	0.913562i	−0.812446	−	0.583036i	$-0.801865\pi$
$89$	1.23916	−	8.61853i	0.131350	−	0.913562i	0.943797	−	0.330526i	$-0.107226\pi$
$90$	1.36793	+	2.66997i	0.144193	+	0.281440i
$91$			1.30490i			0.136791i
$92$	4.48703	+	1.69310i	0.467805	+	0.176518i
$93$	−14.5726	−	0.712650i	−1.51111	−	0.0738984i
$94$	4.20036	−	2.69941i	0.433235	−	0.278423i
$95$	−1.85705	−	0.267003i	−0.190529	−	0.0273940i
$96$	−1.53850	−	0.795618i	−0.157023	−	0.0812024i
$97$	−1.06339	−	3.62156i	−0.107970	−	0.367713i	0.887728	−	0.460369i	$-0.152283\pi$
$97$	−1.06339	−	3.62156i	−0.107970	−	0.367713i	−0.995698	+	0.0926552i	$0.970465\pi$
$98$	6.02862	−	2.75318i	0.608982	−	0.278113i
$99$	−11.0884	−	15.6551i	−1.11443	−	1.57340i
$100$	0.142315	+	0.989821i	0.0142315	+	0.0989821i
$101$	3.76620	−	12.8265i	0.374751	−	1.27629i	−0.529144	−	0.848532i	$-0.677487\pi$
$101$	3.76620	−	12.8265i	0.374751	−	1.27629i	0.903895	−	0.427753i	$-0.140695\pi$
$102$	1.74539	+	1.66844i	0.172819	+	0.165200i
$103$	7.01365	−	10.9135i	0.691075	−	1.07533i	−0.301472	−	0.953475i	$-0.597478\pi$
$103$	7.01365	−	10.9135i	0.691075	−	1.07533i	0.992547	−	0.121859i	$-0.0388857\pi$
$104$	−1.15596	+	1.79871i	−0.113351	+	0.176378i
$105$	0.764116	+	0.730430i	0.0745701	+	0.0712827i
$106$	0.382191	−	1.30162i	0.0371217	−	0.126425i
$107$	−0.493401	−	3.43168i	−0.0476989	−	0.331753i	−0.999673	−	0.0255743i	$-0.991859\pi$
$107$	−0.493401	−	3.43168i	−0.0476989	−	0.331753i	0.951974	−	0.306179i	$-0.0990505\pi$
$108$	2.79265	+	4.38191i	0.268723	+	0.421649i
$109$	2.94630	−	1.34553i	0.282205	−	0.128879i	−0.269284	−	0.963061i	$-0.586787\pi$
$109$	2.94630	−	1.34553i	0.282205	−	0.128879i	0.551489	+	0.834182i	$0.314060\pi$
$110$	−1.80161	−	6.13572i	−0.171777	−	0.585018i
$111$	−12.4422	−	6.43433i	−1.18096	−	0.610720i
$112$	−0.604089	−	0.0868549i	−0.0570811	−	0.00820702i
$113$	10.3236	−	6.63455i	0.971160	−	0.624126i	0.0440947	−	0.999027i	$-0.485960\pi$
$113$	10.3236	−	6.63455i	0.971160	−	0.624126i	0.927065	+	0.374901i	$0.122323\pi$
$114$	−3.24570	−	0.158725i	−0.303988	−	0.0148660i
$115$	−1.65882	−	4.49981i	−0.154685	−	0.419610i
$116$			2.73225i			0.253683i
$117$	5.70874	−	2.92481i	0.527774	−	0.270399i
$118$	1.85321	−	12.8894i	0.170602	−	1.18656i
$119$	0.773903	+	0.353430i	0.0709436	+	0.0323988i
$120$	0.406218	+	1.68374i	0.0370824	+	0.153704i
$121$	12.4179	+	27.1914i	1.12890	+	2.47195i
$122$	−2.22526	−	2.56809i	−0.201466	−	0.232504i
$123$	−10.1364	+	0.954974i	−0.913966	+	0.0861071i
$124$	−8.08236	−	2.37319i	−0.725817	−	0.213119i
$125$	0.654861	−	0.755750i	0.0585725	−	0.0675963i
$126$	1.43632	+	1.13543i	0.127958	+	0.101152i
$127$	−14.4106	−	9.26116i	−1.27874	−	0.821795i	−0.288007	−	0.957628i	$-0.592992\pi$
$127$	−14.4106	−	9.26116i	−1.27874	−	0.821795i	−0.990732	+	0.135833i	$0.956629\pi$
$128$	−0.755750	−	0.654861i	−0.0667995	−	0.0578821i
$129$	−1.78570	+	5.13840i	−0.157222	+	0.452411i
$130$	2.11636	−	0.304287i	0.185617	−	0.0266878i
$131$	12.6117	−	10.9281i	1.10189	−	0.954790i	0.102684	−	0.994714i	$-0.467257\pi$
$131$	12.6117	−	10.9281i	1.10189	−	0.954790i	0.999203	+	0.0399239i	$0.0127115\pi$
$132$	−4.10354	−	10.2878i	−0.357167	−	0.895440i
$133$	−1.09863	+	0.322588i	−0.0952635	+	0.0279719i
$134$	−5.08339	+	11.1311i	−0.439138	+	0.961578i
$135$	1.48283	−	4.98008i	0.127621	−	0.428617i
$136$	0.753677	+	1.17274i	0.0646273	+	0.100562i
$137$	−2.26583			−0.193583			−0.0967916	−	0.995305i	$-0.530858\pi$
$137$	−2.26583			−0.193583			−0.0967916	+	0.995305i	$0.530858\pi$
$138$	−3.59153	−	7.49005i	−0.305732	−	0.637596i
$139$	−16.2548			−1.37872			−0.689358	−	0.724421i	$-0.742107\pi$
$139$	−16.2548			−1.37872			−0.689358	+	0.724421i	$0.742107\pi$
$140$	0.329954	+	0.513418i	0.0278862	+	0.0433917i
$141$	−8.48974	−	1.64740i	−0.714965	−	0.138736i
$142$	−3.63474	+	7.95897i	−0.305021	+	0.667902i
$143$	−13.1189	+	3.85207i	−1.09706	+	0.322126i
$144$	0.974031	+	2.83747i	0.0811693	+	0.236456i
$145$	2.06490	−	1.78924i	0.171480	−	0.148589i
$146$	12.6756	−	1.82247i	1.04904	−	0.150829i
$147$	−10.8431	−	3.76820i	−0.894325	−	0.310796i
$148$	−6.11191	−	5.29600i	−0.502396	−	0.435329i
$149$	5.90128	+	3.79252i	0.483452	+	0.310696i	0.759567	−	0.650429i	$-0.225411\pi$
$149$	5.90128	+	3.79252i	0.483452	+	0.310696i	−0.276115	+	0.961125i	$0.589047\pi$
$150$	1.00647	−	1.40962i	0.0821780	−	0.115095i
$151$	1.96309	−	2.26552i	0.159754	−	0.184366i	−0.670230	−	0.742154i	$-0.733804\pi$
$151$	1.96309	−	2.26552i	0.159754	−	0.184366i	0.829983	+	0.557788i	$0.188350\pi$
$152$	−1.80015	−	0.528571i	−0.146011	−	0.0428728i
$153$	−0.188429	−	4.17789i	−0.0152336	−	0.337762i
$154$	−2.55574	−	2.94948i	−0.205947	−	0.237676i
$155$	3.49928	+	7.66235i	0.281069	+	0.615455i
$156$	3.60005	−	0.868545i	0.288235	−	0.0695393i
$157$	−12.0907	−	5.52164i	−0.964944	−	0.440675i	−0.130306	−	0.991474i	$-0.541596\pi$
$157$	−12.0907	−	5.52164i	−0.964944	−	0.440675i	−0.834638	+	0.550799i	$0.814323\pi$
$158$	0.307584	−	2.13929i	0.0244700	−	0.170193i
$159$	−2.03635	+	1.17225i	−0.161493	+	0.0929658i
$160$			1.00000i			0.0790569i
$161$	−2.06172	−	2.07751i	−0.162486	−	0.163731i
$162$	1.74794	−	8.82863i	0.137331	−	0.693643i
$163$	10.4484	−	6.71476i	0.818379	−	0.525940i	−0.0631866	−	0.998002i	$-0.520126\pi$
$163$	10.4484	−	6.71476i	0.818379	−	0.525940i	0.881566	+	0.472061i	$0.156490\pi$
$164$	−5.81832	−	0.836549i	−0.454335	−	0.0653235i
$165$	−5.08777	+	9.83834i	−0.396083	+	0.765914i
$166$	3.06521	+	10.4392i	0.237907	+	0.810236i
$167$	4.47364	−	2.04304i	0.346181	−	0.158095i	−0.234735	−	0.972060i	$-0.575422\pi$
$167$	4.47364	−	2.04304i	0.346181	−	0.158095i	0.580915	+	0.813964i	$0.302695\pi$
$168$	0.652388	+	0.831741i	0.0503328	+	0.0641702i
$169$	1.19949	+	8.34262i	0.0922683	+	0.641740i
$170$	0.392748	−	1.33758i	0.0301224	−	0.102587i
$171$	3.87375	+	4.08330i	0.296233	+	0.312258i
$172$	−1.69799	+	2.64212i	−0.129470	+	0.201460i
$173$	−1.32607	+	2.06341i	−0.100819	+	0.156878i	−0.887998	−	0.459847i	$-0.847904\pi$
$173$	−1.32607	+	2.06341i	−0.100819	+	0.156878i	0.787179	+	0.616725i	$0.211541\pi$
$174$	3.27006	−	3.42087i	0.247902	−	0.259335i
$175$	0.171942	−	0.585580i	0.0129976	−	0.0442657i
$176$	−0.910067	−	6.32966i	−0.0685989	−	0.477116i
$177$	−17.7467	+	13.9199i	−1.33393	+	1.04628i
$178$	−7.92031	+	3.61708i	−0.593652	+	0.271112i
$179$	−2.52495	−	8.59919i	−0.188724	−	0.642734i	−0.998436	−	0.0559066i	$-0.982195\pi$
$179$	−2.52495	−	8.59919i	−0.188724	−	0.642734i	0.809712	−	0.586827i	$-0.199623\pi$
$180$	1.50657	−	2.59427i	0.112293	−	0.193366i
$181$	11.5517	+	1.66088i	0.858630	+	0.123452i	0.557547	−	0.830146i	$-0.311743\pi$
$181$	11.5517	+	1.66088i	0.858630	+	0.123452i	0.301083	+	0.953598i	$0.402652\pi$
$182$	1.09775	−	0.705483i	0.0813709	−	0.0522939i
$183$	−0.287483	+	5.87860i	−0.0212513	+	0.434558i
$184$	−1.00154	−	4.69009i	−0.0738346	−	0.345758i
$185$			8.08722i			0.594584i
$186$	7.27905	+	12.6446i	0.533726	+	0.927145i
$187$	−1.26867	+	8.82382i	−0.0927747	+	0.645262i
$188$	−4.54178	−	2.07416i	−0.331243	−	0.151274i
$189$	−0.439401	−	3.14063i	−0.0319617	−	0.228447i
$190$	0.779379	+	1.70660i	0.0565421	+	0.123810i
$191$	0.400564	+	0.462276i	0.0289838	+	0.0334491i	0.770056	−	0.637976i	$-0.220228\pi$
$191$	0.400564	+	0.462276i	0.0289838	+	0.0334491i	−0.741073	+	0.671425i	$0.765683\pi$
$192$	0.162462	+	1.72441i	0.0117247	+	0.124449i
$193$	14.2434	+	4.18223i	1.02526	+	0.301044i	0.750783	−	0.660549i	$-0.229677\pi$
$193$	14.2434	+	4.18223i	1.02526	+	0.301044i	0.274479	+	0.961593i	$0.411495\pi$
$194$	−2.47174	+	2.85254i	−0.177460	+	0.204800i
$195$	−3.01394	−	2.15196i	−0.215833	−	0.154105i
$196$	−5.57544	−	3.58311i	−0.398245	−	0.255937i
$197$	−15.7249	−	13.6257i	−1.12035	−	0.970789i	−0.120590	−	0.992702i	$-0.538479\pi$
$197$	−15.7249	−	13.6257i	−1.12035	−	0.970789i	−0.999760	+	0.0219134i	$0.993024\pi$
$198$	−7.17508	+	17.7919i	−0.509911	+	1.26442i
$199$	5.51496	−	0.792932i	0.390945	−	0.0562094i	0.0559605	−	0.998433i	$-0.482178\pi$
$199$	5.51496	−	0.792932i	0.390945	−	0.0562094i	0.334985	+	0.942224i	$0.391269\pi$
$200$	0.755750	−	0.654861i	0.0534396	−	0.0463056i
$201$	19.6866	−	7.85247i	1.38859	−	0.553870i
$202$	−12.8265	+	3.76620i	−0.902470	+	0.264989i
$203$	0.692703	−	1.51681i	0.0486182	−	0.106459i
$204$	0.459955	−	2.37034i	0.0322033	−	0.165957i
$205$	3.17797	+	4.94502i	0.221959	+	0.345375i
$206$	−12.9728			−0.903861
$207$	−4.46765	+	13.6763i	−0.310523	+	0.950566i
$208$	2.13813			0.148252
$209$	−6.48633	−	10.0929i	−0.448669	−	0.698142i
$210$	0.201365	−	1.03772i	0.0138955	−	0.0716092i
$211$	5.49638	−	12.0354i	0.378387	−	0.828551i	−0.620625	−	0.784107i	$-0.713121\pi$
$211$	5.49638	−	12.0354i	0.378387	−	0.828551i	0.999012	−	0.0444439i	$-0.0141516\pi$
$212$	−1.30162	+	0.382191i	−0.0893959	+	0.0262490i
$213$	14.0764	−	5.61470i	0.964498	−	0.384713i
$214$	−2.62016	+	2.27038i	−0.179110	+	0.155200i
$215$	3.10873	−	0.446968i	0.212013	−	0.0304829i
$216$	2.17647	−	4.71836i	0.148090	−	0.321044i
$217$	3.88525	+	3.36658i	0.263748	+	0.228539i
$218$	−2.72483	−	1.75114i	−0.184549	−	0.118602i
$219$	−18.0514	−	12.8888i	−1.21980	−	0.870944i
$220$	−4.18767	+	4.83283i	−0.282333	+	0.325829i
$221$	−2.85991	−	0.839745i	−0.192378	−	0.0564873i
$222$	1.31386	+	13.9457i	0.0881807	+	0.935975i
$223$	−11.7998	−	13.6177i	−0.790173	−	0.911909i	0.207626	−	0.978208i	$-0.433426\pi$
$223$	−11.7998	−	13.6177i	−0.790173	−	0.911909i	−0.997800	+	0.0662996i	$0.978881\pi$
$224$	0.253528	+	0.555149i	0.0169396	+	0.0370925i
$225$	−2.94721	+	0.560302i	−0.196481	+	0.0373535i
$226$	−11.1627	−	5.09783i	−0.742531	−	0.339102i
$227$	−3.53477	+	24.5848i	−0.234611	+	1.63175i	0.443133	+	0.896456i	$0.353867\pi$
$227$	−3.53477	+	24.5848i	−0.234611	+	1.63175i	−0.677744	+	0.735298i	$0.737042\pi$
$228$	1.62123	+	2.81627i	0.107369	+	0.186512i
$229$		−	25.3898i		−	1.67781i	−0.544281	−	0.838903i	$-0.683197\pi$
$229$		−	25.3898i		−	1.67781i	0.544281	−	0.838903i	$-0.316803\pi$
$230$	−2.88866	+	3.82827i	−0.190473	+	0.252429i
$231$	−0.330177	+	6.75164i	−0.0217241	+	0.444226i
$232$	2.29852	−	1.47717i	0.150905	−	0.0969808i
$233$	−9.03362	−	1.29884i	−0.591812	−	0.0850897i	−0.160099	−	0.987101i	$-0.551181\pi$
$233$	−9.03362	−	1.29884i	−0.591812	−	0.0850897i	−0.431713	+	0.902011i	$0.642091\pi$
$234$	−5.54689	−	3.22123i	−0.362612	−	0.210578i
$235$	1.40669	+	4.79073i	0.0917621	+	0.312513i
$236$	−11.8452	+	5.40950i	−0.771054	+	0.352128i
$237$	−2.94549	+	2.31033i	−0.191330	+	0.150072i
$238$	−0.121080	−	0.842127i	−0.00784842	−	0.0545870i
$239$	2.60994	−	8.88865i	0.168823	−	0.574959i	−0.831002	−	0.556269i	$-0.812232\pi$
$239$	2.60994	−	8.88865i	0.168823	−	0.574959i	0.999825	−	0.0186897i	$-0.00594947\pi$
$240$	1.19684	−	1.25203i	0.0772554	−	0.0808183i
$241$	−12.2763	+	19.1023i	−0.790788	+	1.23049i	0.178349	+	0.983967i	$0.442924\pi$
$241$	−12.2763	+	19.1023i	−0.790788	+	1.23049i	−0.969137	+	0.246523i	$0.920712\pi$
$242$	16.1613	−	25.1474i	1.03889	−	1.61654i
$243$	−12.7549	+	8.96173i	−0.818227	+	0.574895i
$244$	−0.957346	+	3.26042i	−0.0612878	+	0.208727i
$245$	0.943196	+	6.56007i	0.0602586	+	0.419108i
$246$	6.28351	+	8.01096i	0.400622	+	0.510760i
$247$	3.64893	−	1.66641i	0.232176	−	0.106031i
$248$	2.37319	+	8.08236i	0.150698	+	0.513230i
$249$	8.65622	−	16.7387i	0.548566	−	1.06077i
$250$	−0.989821	−	0.142315i	−0.0626018	−	0.00900078i
$251$	10.6357	−	6.83512i	0.671317	−	0.431429i	−0.160083	−	0.987104i	$-0.551176\pi$
$251$	10.6357	−	6.83512i	0.671317	−	0.431429i	0.831400	+	0.555674i	$0.187540\pi$
$252$	0.178647	−	1.82217i	0.0112537	−	0.114786i
$253$	14.8003	−	26.8605i	0.930484	−	1.68871i
$254$			17.1300i			1.07483i
$255$	−2.09259	+	1.20463i	−0.131043	+	0.0754370i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−3.37681	−	1.54214i	−0.210640	−	0.0961960i	0.307301	−	0.951612i	$-0.400574\pi$
$257$	−3.37681	−	1.54214i	−0.210640	−	0.0961960i	−0.517941	+	0.855416i	$0.673301\pi$
$258$	5.28812	−	1.27581i	0.329224	−	0.0794282i
$259$	2.05034	+	4.48961i	0.127402	+	0.278971i
$260$	−1.40018	−	1.61589i	−0.0868352	−	0.100213i
$261$	−8.18843	+	0.369311i	−0.506851	+	0.0228598i
$262$	−16.0117	−	4.70145i	−0.989204	−	0.290456i
$263$	6.93839	−	8.00733i	0.427840	−	0.493753i	−0.500370	−	0.865812i	$-0.666803\pi$
$263$	6.93839	−	8.00733i	0.427840	−	0.493753i	0.928209	+	0.372059i	$0.121348\pi$
$264$	−6.43613	+	9.01413i	−0.396116	+	0.554782i
$265$	1.14122	+	0.733420i	0.0701048	+	0.0450536i
$266$	0.865344	+	0.749825i	0.0530576	+	0.0459747i
$267$	14.2455	+	4.95061i	0.871812	+	0.302972i
$268$	12.1123	−	1.74149i	0.739879	−	0.106379i
$269$	−10.1911	+	8.83064i	−0.621362	+	0.538413i	−0.907649	−	0.419731i	$-0.862125\pi$
$269$	−10.1911	+	8.83064i	−0.621362	+	0.538413i	0.286287	+	0.958144i	$0.407579\pi$
$270$	−4.99119	+	1.44500i	−0.303754	+	0.0879400i
$271$	13.9986	−	4.11035i	0.850352	−	0.249686i	0.172614	−	0.984990i	$-0.444779\pi$
$271$	13.9986	−	4.11035i	0.850352	−	0.249686i	0.677738	+	0.735304i	$0.262960\pi$
$272$	0.579107	−	1.26807i	0.0351135	−	0.0768879i
$273$	−2.21877	−	0.430543i	−0.134286	−	0.0260577i
$274$	1.22500	+	1.90614i	0.0740050	+	0.115154i
$275$	6.39475			0.385618
$276$	−4.35930	+	7.07082i	−0.262399	+	0.425613i
$277$	−10.8732			−0.653310			−0.326655	−	0.945144i	$-0.605921\pi$
$277$	−10.8732			−0.653310			−0.326655	+	0.945144i	$0.605921\pi$
$278$	8.78802	+	13.6744i	0.527070	+	0.820137i
$279$	6.01989	−	24.5432i	0.360401	−	1.46936i
$280$	0.253528	−	0.555149i	0.0151512	−	0.0331765i
$281$	−17.8325	+	5.23609i	−1.06380	+	0.312359i	−0.766379	−	0.642388i	$-0.777944\pi$
$281$	−17.8325	+	5.23609i	−1.06380	+	0.312359i	−0.297418	+	0.954747i	$0.596125\pi$
$282$	3.20402	+	8.03268i	0.190797	+	0.478339i
$283$	20.5399	−	17.7979i	1.22097	−	1.05798i	0.224460	−	0.974483i	$-0.427938\pi$
$283$	20.5399	−	17.7979i	1.22097	−	1.05798i	0.996508	−	0.0834921i	$-0.0266073\pi$
$284$	8.66060	−	1.24521i	0.513912	−	0.0738894i
$285$	1.06672	−	3.06951i	0.0631868	−	0.181822i
$286$	10.3332	+	8.95377i	0.611015	+	0.529448i
$287$	3.01795	+	1.93952i	0.178144	+	0.114486i
$288$	1.86043	−	2.35346i	0.109627	−	0.138679i
$289$	9.86000	−	11.3790i	0.580000	−	0.669356i
$290$	−2.62158	−	0.769764i	−0.153944	−	0.0452021i
$291$	6.50872	−	0.613203i	0.381548	−	0.0359466i
$292$	−8.38610	−	9.67808i	−0.490759	−	0.566367i
$293$	−0.588198	−	1.28797i	−0.0343629	−	0.0752443i	0.891672	−	0.452682i	$-0.149533\pi$
$293$	−0.588198	−	1.28797i	−0.0343629	−	0.0752443i	−0.926035	+	0.377437i	$0.876805\pi$
$294$	2.69222	+	11.1591i	0.157014	+	0.650809i
$295$	11.8452	+	5.40950i	0.689652	+	0.314953i
$296$	−1.15093	+	8.00490i	−0.0668965	+	0.465275i
$297$	30.2775	−	13.6887i	1.75688	−	0.794298i
$298$		−	7.01487i		−	0.406360i
$299$	8.18532	+	6.17633i	0.473370	+	0.357186i
$300$	−1.72998	−	0.0846018i	−0.0998806	−	0.00488449i
$301$	1.61249	−	1.03628i	0.0929423	−	0.0597304i
$302$	−2.96720	−	0.426619i	−0.170743	−	0.0245492i
$303$	20.5667	+	10.6358i	1.18153	+	0.611012i
$304$	0.528571	+	1.80015i	0.0303156	+	0.103246i
$305$	3.09099	−	1.41161i	0.176989	−	0.0808284i
$306$	−3.41279	+	2.41725i	−0.195096	+	0.138185i
$307$	2.35821	+	16.4017i	0.134590	+	0.936097i	0.939463	+	0.342650i	$0.111324\pi$
$307$	2.35821	+	16.4017i	0.134590	+	0.936097i	−0.804873	+	0.593447i	$0.797767\pi$
$308$	−1.09952	+	3.74463i	−0.0626512	+	0.213370i
$309$	16.2424	+	15.5264i	0.923999	+	0.883264i
$310$	4.55413	−	7.08636i	0.258657	−	0.402478i
$311$	3.97654	−	6.18762i	0.225489	−	0.350868i	−0.710013	−	0.704188i	$-0.751311\pi$
$311$	3.97654	−	6.18762i	0.225489	−	0.350868i	0.935502	+	0.353320i	$0.114947\pi$
$312$	−2.67700	−	2.55899i	−0.151555	−	0.144874i
$313$	−4.54039	+	15.4631i	−0.256638	+	0.874028i	0.725874	+	0.687828i	$0.241436\pi$
$313$	−4.54039	+	15.4631i	−0.256638	+	0.874028i	−0.982512	+	0.186201i	$0.940383\pi$
$314$	1.89163	+	13.1566i	0.106751	+	0.742469i
$315$	−1.49409	+	1.05825i	−0.0841825	+	0.0596258i
$316$	−1.96598	+	0.897833i	−0.110595	+	0.0505070i
$317$	1.17266	+	3.99372i	0.0658633	+	0.224310i	0.985847	−	0.167646i	$-0.0536167\pi$
$317$	1.17266	+	3.99372i	0.0658633	+	0.224310i	−0.919984	+	0.391956i	$0.871798\pi$
$318$	2.08709	+	1.07931i	0.117038	+	0.0605250i
$319$	17.2942	+	2.48653i	0.968290	+	0.139219i
$320$	0.841254	−	0.540641i	0.0470275	−	0.0302227i
$321$	5.99780	+	0.293312i	0.334765	+	0.0163711i
$322$	−0.633065	+	2.85762i	−0.0352793	+	0.159249i
$323$		−	2.61543i		−	0.145526i
$324$	−8.37212	+	3.30266i	−0.465118	+	0.183481i
$325$	−0.304287	+	2.11636i	−0.0168788	+	0.117395i
$326$	−11.2976	−	5.15945i	−0.625718	−	0.285756i
$327$	1.31574	+	5.45365i	0.0727607	+	0.301588i
$328$	2.44187	+	5.34696i	0.134830	+	0.295236i
$329$	1.99551	+	2.30294i	0.110016	+	0.126965i
$330$	11.0272	−	1.03890i	0.607027	−	0.0571896i
$331$	−24.5930	−	7.22117i	−1.35176	−	0.396911i	−0.475906	−	0.879496i	$-0.657880\pi$
$331$	−24.5930	−	7.22117i	−1.35176	−	0.396911i	−0.875849	+	0.482585i	$0.839698\pi$
$332$	7.12480	−	8.22246i	0.391024	−	0.451266i
$333$	15.0457	−	19.0330i	0.824501	−	1.04300i
$334$	−4.13735	−	2.65891i	−0.226386	−	0.145489i
$335$	−9.24803	−	8.01346i	−0.505274	−	0.437822i
$336$	0.346997	−	0.998497i	0.0189303	−	0.0544725i
$337$	10.0082	−	1.43896i	0.545181	−	0.0783852i	0.135779	−	0.990739i	$-0.456646\pi$
$337$	10.0082	−	1.43896i	0.545181	−	0.0783852i	0.409402	+	0.912354i	$0.365737\pi$
$338$	6.36977	−	5.51944i	0.346470	−	0.300218i
$339$	7.87477	+	19.7425i	0.427699	+	1.07227i
$340$	−1.33758	+	0.392748i	−0.0725402	+	0.0212997i
$341$	−22.3770	+	48.9988i	−1.21178	+	2.65343i
$342$	1.34078	−	5.46641i	0.0725012	−	0.295589i
$343$	4.49645	+	6.99662i	0.242786	+	0.377782i
$344$	3.14070			0.169335
$345$	8.19850	−	1.33586i	0.441393	−	0.0719202i
$346$	2.45278			0.131862
$347$	12.4789	+	19.4176i	0.669903	+	1.04239i	0.995303	+	0.0968131i	$0.0308649\pi$
$347$	12.4789	+	19.4176i	0.669903	+	1.04239i	−0.325399	+	0.945577i	$0.605499\pi$
$348$	−4.64574	−	0.901487i	−0.249038	−	0.0483248i
$349$	4.53964	−	9.94042i	0.243001	−	0.532099i	−0.748355	−	0.663299i	$-0.769156\pi$
$349$	4.53964	−	9.94042i	0.243001	−	0.532099i	0.991356	+	0.131200i	$0.0418831\pi$
$350$	−0.585580	+	0.171942i	−0.0313005	+	0.00919067i
$351$	3.08960	+	10.6718i	0.164911	+	0.569618i
$352$	−4.83283	+	4.18767i	−0.257591	+	0.223204i
$353$	35.4192	−	5.09251i	1.88517	−	0.271047i	0.899148	−	0.437645i	$-0.144187\pi$
$353$	35.4192	−	5.09251i	1.88517	−	0.271047i	0.986025	+	0.166599i	$0.0532784\pi$
$354$	21.3048	+	7.40384i	1.13234	+	0.393510i
$355$	−6.61255	−	5.72981i	−0.350958	−	0.304107i
$356$	7.32493	+	4.70744i	0.388220	+	0.249494i
$357$	−0.856292	+	1.19928i	−0.0453198	+	0.0634727i
$358$	−5.86901	+	6.77319i	−0.310187	+	0.357974i
$359$	−25.7374	−	7.55718i	−1.35837	−	0.398853i	−0.480180	−	0.877170i	$-0.659429\pi$
$359$	−25.7374	−	7.55718i	−1.35837	−	0.398853i	−0.878187	+	0.478317i	$0.841247\pi$
$360$	−2.99695	+	0.135167i	−0.157953	+	0.00712394i
$361$	−10.1373	−	11.6991i	−0.533542	−	0.615740i
$362$	−4.84809	−	10.6158i	−0.254810	−	0.557956i
$363$	−50.3318	+	12.1430i	−2.64173	+	0.637341i
$364$	−1.18698	−	0.542076i	−0.0622147	−	0.0284125i
$365$	−1.82247	+	12.6756i	−0.0953926	+	0.663470i
$366$	5.10081	−	2.93636i	0.266624	−	0.153486i
$367$		−	6.99368i		−	0.365067i	−0.983200	−	0.182533i	$-0.941570\pi$
$367$		−	6.99368i		−	0.365067i	0.983200	−	0.182533i	$-0.0584298\pi$
$368$	−3.40408	+	3.37820i	−0.177450	+	0.176101i
$369$	1.72065	−	17.5503i	0.0895735	−	0.913633i
$370$	6.80340	−	4.37228i	0.353692	−	0.227304i
$371$	0.819492	+	0.117825i	0.0425459	+	0.00611718i
$372$	6.70194	−	12.9597i	0.347480	−	0.671929i
$373$	−0.182486	−	0.621489i	−0.00944875	−	0.0321795i	0.954634	−	0.297783i	$-0.0962471\pi$
$373$	−0.182486	−	0.621489i	−0.00944875	−	0.0321795i	−0.964082	+	0.265603i	$0.914429\pi$
$374$	8.10897	−	3.70324i	0.419305	−	0.191490i
$375$	1.06896	+	1.36284i	0.0552009	+	0.0703766i
$376$	0.710576	+	4.94216i	0.0366451	+	0.254873i
$377$	−1.64585	+	5.60526i	−0.0847658	+	0.288686i
$378$	−2.40451	+	2.06760i	−0.123674	+	0.106346i
$379$	5.85621	−	9.11244i	0.300813	−	0.468075i	−0.657637	−	0.753335i	$-0.728444\pi$
$379$	5.85621	−	9.11244i	0.300813	−	0.468075i	0.958450	+	0.285260i	$0.0920801\pi$
$380$	1.01432	−	1.57831i	0.0520336	−	0.0809658i
$381$	20.5018	−	21.4473i	1.05034	−	1.09878i
$382$	0.172330	−	0.586901i	0.00881716	−	0.0300285i
$383$	−2.21272	−	15.3898i	−0.113065	−	0.786382i	−0.964909	−	0.262586i	$-0.915425\pi$
$383$	−2.21272	−	15.3898i	−0.113065	−	0.786382i	0.851844	−	0.523796i	$-0.175484\pi$
$384$	1.36284	−	1.06896i	0.0695470	−	0.0545502i
$385$	3.55004	−	1.62125i	0.180927	−	0.0826265i
$386$	−4.18223	−	14.2434i	−0.212870	−	0.724969i
$387$	−8.14783	−	4.73166i	−0.414177	−	0.240524i
$388$	3.73603	+	0.537160i	0.189668	+	0.0272702i
$389$	10.5958	−	6.80951i	0.537229	−	0.345256i	−0.243725	−	0.969844i	$-0.578370\pi$
$389$	10.5958	−	6.80951i	0.537229	−	0.345256i	0.780954	+	0.624588i	$0.214733\pi$
$390$	−0.180890	+	3.69892i	−0.00915970	+	0.187302i
$391$	5.87999	−	3.18166i	0.297364	−	0.160903i
$392$			6.62753i			0.334741i
$393$	14.4202	+	25.0497i	0.727405	+	1.26359i
$394$	−2.96114	+	20.5952i	−0.149180	+	1.03757i
$395$	1.96598	+	0.897833i	0.0989192	+	0.0451749i
$396$	18.8467	−	3.58299i	0.947081	−	0.180052i
$397$	9.63176	+	21.0906i	0.483404	+	1.05851i	0.981513	+	0.191393i	$0.0613006\pi$
$397$	9.63176	+	21.0906i	0.483404	+	1.05851i	−0.498109	+	0.867114i	$0.665972\pi$
$398$	−3.64867	−	4.21079i	−0.182891	−	0.211068i
$399$	−0.186021	−	1.97448i	−0.00931269	−	0.0988476i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	9.48039	−	10.9409i	0.473428	−	0.546365i	−0.467934	−	0.883763i	$-0.655002\pi$
$401$	9.48039	−	10.9409i	0.473428	−	0.546365i	0.941362	+	0.337398i	$0.109547\pi$
$402$	−17.2493	−	12.3161i	−0.860317	−	0.614270i
$403$	−15.1515	−	9.73731i	−0.754752	−	0.485050i
$404$	10.1029	+	8.75418i	0.502636	+	0.435537i
$405$	7.97856	+	4.16445i	0.396458	+	0.206933i
$406$	−1.65052	+	0.237309i	−0.0819141	+	0.0117775i
$407$	−39.0841	+	33.8666i	−1.93733	+	1.67870i
$408$	−2.24273	+	0.894565i	−0.111032	+	0.0442875i
$409$	−22.4708	+	6.59801i	−1.11111	+	0.326251i	−0.785257	−	0.619170i	$-0.787469\pi$
$409$	−22.4708	+	6.59801i	−1.11111	+	0.326251i	−0.325851	+	0.945421i	$0.605651\pi$
$410$	2.44187	−	5.34696i	0.120596	−	0.264067i
$411$	0.747596	−	3.85267i	0.0368762	−	0.190038i
$412$	7.01365	+	10.9135i	0.345538	+	0.537667i
$413$	7.94729			0.391061
$414$	13.9206	−	3.63552i	0.684160	−	0.178676i
$415$	−10.8799			−0.534072
$416$	−1.15596	−	1.79871i	−0.0566755	−	0.0881889i
$417$	5.36316	−	27.6386i	0.262635	−	1.35347i
$418$	−4.98393	+	10.9133i	−0.243772	+	0.533786i
$419$	4.97915	−	1.46201i	0.243247	−	0.0714239i	−0.157836	−	0.987465i	$-0.550452\pi$
$419$	4.97915	−	1.46201i	0.243247	−	0.0714239i	0.401084	+	0.916041i	$0.368634\pi$
$420$	−0.981848	+	0.391633i	−0.0479093	+	0.0191097i
$421$	−29.2000	+	25.3020i	−1.42312	+	1.23314i	−0.490920	+	0.871205i	$0.663339\pi$
$421$	−29.2000	+	25.3020i	−1.42312	+	1.23314i	−0.932202	+	0.361938i	$0.882115\pi$
$422$	−13.0964	+	1.88298i	−0.637522	+	0.0916619i
$423$	5.60226	−	13.8919i	0.272391	−	0.675445i
$424$	1.02523	+	0.888367i	0.0497896	+	0.0431429i
$425$	1.17274	+	0.753677i	0.0568865	+	0.0365587i
$426$	−12.3337	−	8.80628i	−0.597567	−	0.426666i
$427$	1.35808	−	1.56731i	0.0657220	−	0.0758473i
$428$	3.32653	+	0.976758i	0.160794	+	0.0472134i
$429$	−2.22130	−	23.5776i	−0.107245	−	1.13833i
$430$	−2.05672	−	2.37358i	−0.0991837	−	0.114464i
$431$	13.1707	+	28.8398i	0.634411	+	1.38917i	0.904560	+	0.426347i	$0.140200\pi$
$431$	13.1707	+	28.8398i	0.634411	+	1.38917i	−0.270149	+	0.962818i	$0.587073\pi$
$432$	−5.14603	+	0.719974i	−0.247589	+	0.0346398i
$433$	21.3050	+	9.72964i	1.02385	+	0.467577i	0.855309	−	0.518118i	$-0.173367\pi$
$433$	21.3050	+	9.72964i	1.02385	+	0.467577i	0.168541	+	0.985695i	$0.446094\pi$
$434$	0.731629	−	5.08859i	0.0351193	−	0.244260i
$435$	2.36102	+	4.10137i	0.113202	+	0.196645i
$436$			3.23901i			0.155120i
$437$	−3.17651	+	8.41831i	−0.151953	+	0.402703i
$438$	−1.08341	+	22.1540i	−0.0517671	+	1.05856i
$439$	−14.7021	+	9.44844i	−0.701691	+	0.450950i	−0.842225	−	0.539126i	$-0.818755\pi$
$439$	−14.7021	+	9.44844i	−0.701691	+	0.450950i	0.140534	+	0.990076i	$0.455118\pi$
$440$	6.32966	+	0.910067i	0.301755	+	0.0433858i
$441$	9.98481	−	17.1936i	0.475467	−	0.818745i
$442$	0.839745	+	2.85991i	0.0399426	+	0.136032i
$443$	−16.1533	+	7.37695i	−0.767464	+	0.350489i	−0.760374	−	0.649486i	$-0.774984\pi$
$443$	−16.1533	+	7.37695i	−0.767464	+	0.350489i	−0.00709055	+	0.999975i	$0.502257\pi$
$444$	11.0216	−	8.64492i	0.523060	−	0.410270i
$445$	−1.23916	−	8.61853i	−0.0587417	−	0.408557i
$446$	−5.07648	+	17.2889i	−0.240378	+	0.818654i
$447$	−8.39565	+	8.78284i	−0.397101	+	0.415414i
$448$	0.329954	−	0.513418i	0.0155888	−	0.0242567i
$449$	−15.1589	+	23.5877i	−0.715394	+	1.11317i	0.273111	+	0.961983i	$0.411948\pi$
$449$	−15.1589	+	23.5877i	−0.715394	+	1.11317i	−0.988504	+	0.151192i	$0.951689\pi$
$450$	2.06474	+	2.17643i	0.0973328	+	0.102598i
$451$	−10.5901	+	36.0667i	−0.498670	+	1.69831i
$452$	1.74644	+	12.1467i	0.0821455	+	0.571335i
$453$	3.20444	+	4.08540i	0.150558	+	0.191949i
$454$	22.5931	−	10.3179i	1.06035	−	0.484245i
$455$	0.367633	+	1.25204i	0.0172349	+	0.0586967i
$456$	1.49269	−	2.88646i	0.0699018	−	0.135171i
$457$	24.8101	+	3.56715i	1.16057	+	0.166864i	0.695577	−	0.718451i	$-0.255149\pi$
$457$	24.8101	+	3.56715i	1.16057	+	0.166864i	0.464990	+	0.885316i	$0.346058\pi$
$458$	−21.3593	+	13.7268i	−0.998053	+	0.641410i
$459$	7.16597	+	1.05807i	0.334479	+	0.0493866i
$460$	4.78227	+	0.360379i	0.222975	+	0.0168027i
$461$		−	18.6764i		−	0.869847i	−0.900467	−	0.434924i	$-0.856775\pi$
$461$		−	18.6764i		−	0.869847i	0.900467	−	0.434924i	$-0.143225\pi$
$462$	5.85835	−	3.37245i	0.272555	−	0.156901i
$463$	3.17877	−	22.1089i	0.147730	−	1.02749i	−0.772193	−	0.635388i	$-0.780840\pi$
$463$	3.17877	−	22.1089i	0.147730	−	1.02749i	0.919923	−	0.392098i	$-0.128251\pi$
$464$	−2.48534	−	1.13502i	−0.115379	−	0.0526919i
$465$	−14.1831	+	3.42181i	−0.657727	+	0.158682i
$466$	3.79129	+	8.30177i	0.175628	+	0.384572i
$467$	−14.8219	−	17.1054i	−0.685878	−	0.791545i	0.300894	−	0.953657i	$-0.402715\pi$
$467$	−14.8219	−	17.1054i	−0.685878	−	0.791545i	−0.986772	+	0.162112i	$0.948169\pi$
$468$	0.289005	+	6.40787i	0.0133592	+	0.296204i
$469$	−7.16567	−	2.10403i	−0.330880	−	0.0971552i
$470$	3.26971	−	3.77344i	0.150820	−	0.174056i
$471$	13.3779	−	18.7364i	0.616421	−	0.863329i
$472$	10.9547	+	7.04018i	0.504233	+	0.324051i
$473$	15.1784	+	13.1522i	0.697905	+	0.604738i
$474$	3.53603	+	1.22884i	0.162415	+	0.0564425i
$475$	−1.85705	+	0.267003i	−0.0852073	+	0.0122510i
$476$	−0.642982	+	0.557147i	−0.0294710	+	0.0255368i
$477$	−1.32135	−	3.84925i	−0.0605003	−	0.176245i
$478$	−8.88865	+	2.60994i	−0.406557	+	0.119376i
$479$	−7.69724	+	16.8546i	−0.351696	+	0.770107i	0.648266	+	0.761414i	$0.275494\pi$
$479$	−7.69724	+	16.8546i	−0.351696	+	0.770107i	−0.999962	+	0.00869317i	$0.997233\pi$
$480$	−1.70033	−	0.329943i	−0.0776093	−	0.0150598i
$481$	−9.34849	−	14.5465i	−0.426255	−	0.663265i
$482$	22.7070			1.03428
$483$	4.21272	−	2.82015i	0.191685	−	0.128321i
$484$	−29.8928			−1.35876
$485$	−2.04062	−	3.17527i	−0.0926598	−	0.144182i
$486$	14.4349	+	5.88502i	0.654781	+	0.266950i
$487$	13.6490	−	29.8872i	0.618497	−	1.35432i	−0.298111	−	0.954531i	$-0.596356\pi$
$487$	13.6490	−	29.8872i	0.618497	−	1.35432i	0.916608	−	0.399788i	$-0.130916\pi$
$488$	3.26042	−	0.957346i	0.147592	−	0.0433370i
$489$	7.96997	+	19.9812i	0.360414	+	0.903581i
$490$	5.00875	−	4.34011i	0.226272	−	0.196066i
$491$	16.2126	−	2.33102i	0.731663	−	0.105197i	0.233593	−	0.972334i	$-0.424952\pi$
$491$	16.2126	−	2.33102i	0.731663	−	0.105197i	0.498070	+	0.867137i	$0.334042\pi$
$492$	3.34213	−	9.61708i	0.150675	−	0.433572i
$493$	2.87856	+	2.49429i	0.129644	+	0.112337i
$494$	−3.37464	−	2.16875i	−0.151832	−	0.0975765i
$495$	−15.0498	−	11.8970i	−0.676438	−	0.534731i
$496$	5.51627	−	6.36611i	0.247688	−	0.285847i
$497$	−5.12362	−	1.50443i	−0.229826	−	0.0674830i
$498$	−18.7614	+	1.76756i	−0.840719	+	0.0792063i
$499$	2.66886	+	3.08003i	0.119475	+	0.137881i	0.812336	−	0.583190i	$-0.198196\pi$
$499$	2.66886	+	3.08003i	0.119475	+	0.137881i	−0.692861	+	0.721071i	$0.743650\pi$
$500$	0.415415	+	0.909632i	0.0185779	+	0.0406800i
$501$	1.99781	+	8.28077i	0.0892556	+	0.369958i
$502$	−11.5001	−	5.25194i	−0.513276	−	0.234405i
$503$	6.17677	−	42.9604i	0.275408	−	1.91551i	−0.112204	−	0.993685i	$-0.535791\pi$
$503$	6.17677	−	42.9604i	0.275408	−	1.91551i	0.387613	−	0.921822i	$-0.373300\pi$
$504$	−1.62949	+	0.834850i	−0.0725832	+	0.0371872i
$505$		−	13.3680i		−	0.594868i
$506$	−30.5981	+	2.07112i	−1.36025	+	0.0920724i
$507$	−14.5810	−	0.713059i	−0.647565	−	0.0316681i
$508$	14.4106	−	9.26116i	0.639369	−	0.410898i
$509$	−0.656434	−	0.0943810i	−0.0290959	−	0.00418336i	0.127751	−	0.991806i	$-0.459224\pi$
$509$	−0.656434	−	0.0943810i	−0.0290959	−	0.00418336i	−0.156847	+	0.987623i	$0.550133\pi$
$510$	2.14474	+	1.10913i	0.0949708	+	0.0491129i
$511$	2.20187	+	7.49889i	0.0974051	+	0.331731i
$512$	0.909632	−	0.415415i	0.0402004	−	0.0183589i
$513$	−8.22109	+	5.23942i	−0.362970	+	0.231326i
$514$	0.528313	+	3.67450i	0.0233029	+	0.162075i
$515$	3.65487	−	12.4474i	0.161053	−	0.548496i
$516$	−3.93225	−	3.75890i	−0.173108	−	0.165476i
$517$	−17.2620	+	26.8603i	−0.759184	+	1.18131i
$518$	2.66841	−	4.15212i	0.117243	−	0.182434i
$519$	−3.07096	−	2.93557i	−0.134800	−	0.128857i
$520$	−0.602380	+	2.05152i	−0.0264161	+	0.0899650i
$521$	1.50362	+	10.4579i	0.0658749	+	0.458170i	0.995884	+	0.0906342i	$0.0288894\pi$
$521$	1.50362	+	10.4579i	0.0658749	+	0.458170i	−0.930009	+	0.367536i	$0.880201\pi$
$522$	4.73768	+	6.68888i	0.207363	+	0.292764i
$523$	−20.0183	+	9.14206i	−0.875340	+	0.399754i	−0.801839	−	0.597541i	$-0.796145\pi$
$523$	−20.0183	+	9.14206i	−0.875340	+	0.399754i	−0.0735015	+	0.997295i	$0.523417\pi$
$524$	4.70145	+	16.0117i	0.205384	+	0.699473i
$525$	0.938950	+	0.485566i	0.0409792	+	0.0211919i
$526$	−10.4874	−	1.50786i	−0.457271	−	0.0657457i
$527$	−9.87870	+	6.34866i	−0.430323	+	0.276552i
$528$	11.0628	+	0.541007i	0.481447	+	0.0235443i
$529$	−22.7902	+	3.09943i	−0.990879	+	0.134758i
$530$		−	1.35657i		−	0.0589258i
$531$	−17.8131	−	34.7682i	−0.773023	−	1.50881i
$532$	0.162952	−	1.13336i	0.00706488	−	0.0491374i
$533$	−11.4325	−	5.22104i	−0.495196	−	0.226148i
$534$	−3.53700	−	14.6606i	−0.153061	−	0.634426i
$535$	−1.44023	−	3.15367i	−0.0622666	−	0.136345i
$536$	−8.01346	−	9.24803i	−0.346129	−	0.399454i
$537$	15.4546	−	1.45602i	0.666915	−	0.0628318i
$538$	12.9385	+	3.79909i	0.557820	+	0.163791i
$539$	−27.7539	+	32.0297i	−1.19545	+	1.37962i
$540$	3.91405	+	3.41763i	0.168434	+	0.147071i
$541$	−10.5483	−	6.77896i	−0.453506	−	0.291450i	0.293878	−	0.955843i	$-0.405054\pi$
$541$	−10.5483	−	6.77896i	−0.453506	−	0.291450i	−0.747384	+	0.664393i	$0.768690\pi$
$542$	−11.0260	−	9.55412i	−0.473609	−	0.410384i
$543$	−6.63545	+	19.0937i	−0.284754	+	0.819390i
$544$	−1.37985	+	0.198393i	−0.0591608	+	0.00850604i
$545$	2.44788	−	2.12110i	0.104856	−	0.0908579i
$546$	0.837361	+	2.09932i	0.0358358	+	0.0898425i
$547$	−1.34608	+	0.395243i	−0.0575540	+	0.0168994i	−0.310383	−	0.950612i	$-0.600457\pi$
$547$	−1.34608	+	0.395243i	−0.0575540	+	0.0168994i	0.252829	+	0.967511i	$0.418639\pi$
$548$	0.941261	−	2.06107i	0.0402087	−	0.0880447i
$549$	−9.90073	−	2.42842i	−0.422553	−	0.103642i
$550$	−3.45726	−	5.37960i	−0.147418	−	0.229387i
$551$	−5.12610			−0.218379
$552$	8.30517	−	0.155493i	0.353491	−	0.00661823i
$553$	1.31904			0.0560912
$554$	5.87852	+	9.14715i	0.249754	+	0.388625i
$555$	−13.7510	−	2.66832i	−0.583696	−	0.113264i
$556$	6.75249	−	14.7859i	0.286370	−	0.627062i
$557$	2.45513	−	0.720890i	0.104027	−	0.0305451i	−0.229305	−	0.973355i	$-0.573645\pi$
$557$	2.45513	−	0.720890i	0.104027	−	0.0305451i	0.333332	+	0.942810i	$0.391827\pi$
$558$	−23.9017	+	8.20482i	−1.01184	+	0.347338i
$559$	−5.07501	+	4.39752i	−0.214650	+	0.185995i
$560$	−0.604089	+	0.0868549i	−0.0255274	+	0.00367029i
$561$	−14.5849	−	5.06853i	−0.615773	−	0.213994i
$562$	14.0459	+	12.1708i	0.592489	+	0.513394i
$563$	5.39076	+	3.46443i	0.227193	+	0.146008i	0.649286	−	0.760544i	$-0.275068\pi$
$563$	5.39076	+	3.46443i	0.227193	+	0.146008i	−0.422092	+	0.906553i	$0.638704\pi$
$564$	5.02529	−	7.03819i	0.211603	−	0.296361i
$565$	8.03622	−	9.27429i	0.338086	−	0.390172i
$566$	−26.0772	−	7.65697i	−1.09611	−	0.321846i
$567$	5.48510	+	0.289100i	0.230352	+	0.0121411i
$568$	−5.72981	−	6.61255i	−0.240417	−	0.277456i
$569$	−16.7269	−	36.6267i	−0.701227	−	1.53547i	−0.838478	−	0.544936i	$-0.816554\pi$
$569$	−16.7269	−	36.6267i	−0.701227	−	1.53547i	0.137251	−	0.990536i	$-0.456173\pi$
$570$	−3.15894	+	0.762124i	−0.132314	+	0.0319218i
$571$	−37.6231	−	17.1819i	−1.57448	−	0.719039i	−0.579114	−	0.815246i	$-0.696602\pi$
$571$	−37.6231	−	17.1819i	−1.57448	−	0.719039i	−0.995361	+	0.0962073i	$0.969329\pi$
$572$	1.94584	−	13.5336i	0.0813597	−	0.565869i
$573$	−0.918187	+	0.528568i	−0.0383578	+	0.0220813i
$574$		−	3.58744i		−	0.149737i
$575$	−2.85937	−	3.85020i	−0.119244	−	0.160564i
$576$	−2.98569	−	0.292720i	−0.124404	−	0.0121966i
$577$	−2.86423	+	1.84073i	−0.119239	+	0.0766306i	−0.598901	−	0.800823i	$-0.704396\pi$
$577$	−2.86423	+	1.84073i	−0.119239	+	0.0766306i	0.479662	+	0.877454i	$0.340759\pi$
$578$	−14.9034	−	2.14278i	−0.619899	−	0.0891280i
$579$	−11.8107	+	22.8386i	−0.490836	+	0.949141i
$580$	0.769764	+	2.62158i	0.0319627	+	0.108855i
$581$	−6.03996	+	2.75836i	−0.250580	+	0.114436i
$582$	−4.03474	−	5.14396i	−0.167245	−	0.213224i
$583$	1.23457	+	8.58665i	0.0511309	+	0.355623i
$584$	−3.60785	+	12.2872i	−0.149294	+	0.508448i
$585$	4.65349	−	4.41468i	0.192398	−	0.182524i
$586$	−0.765509	+	1.19116i	−0.0316229	+	0.0492062i
$587$	3.86156	−	6.00871i	0.159384	−	0.248006i	−0.752372	−	0.658738i	$-0.771091\pi$
$587$	3.86156	−	6.00871i	0.159384	−	0.248006i	0.911756	+	0.410732i	$0.134727\pi$
$588$	7.93207	−	8.29788i	0.327113	−	0.342199i
$589$	4.45246	−	15.1637i	0.183460	−	0.624809i
$590$	−1.85321	−	12.8894i	−0.0762955	−	0.530647i
$591$	28.3565	−	22.2418i	1.16643	−	0.914907i
$592$	7.35639	−	3.35955i	0.302346	−	0.138077i
$593$	2.49832	+	8.50851i	0.102594	+	0.349403i	0.994751	−	0.102322i	$-0.0326272\pi$
$593$	2.49832	+	8.50851i	0.102594	+	0.349403i	−0.892157	+	0.451725i	$0.850809\pi$
$594$	−27.8849	−	18.0704i	−1.14413	−	0.741436i
$595$	0.842127	+	0.121080i	0.0345238	+	0.00496378i
$596$	−5.90128	+	3.79252i	−0.241726	+	0.155348i
$597$	−0.471374	+	9.63890i	−0.0192920	+	0.394494i
$598$	0.770535	−	10.2251i	0.0315095	−	0.418136i
$599$		−	33.1679i		−	1.35520i	−0.735429	−	0.677602i	$-0.763019\pi$
$599$		−	33.1679i		−	1.35520i	0.735429	−	0.677602i	$-0.236981\pi$
$600$	0.864128	+	1.50109i	0.0352779	+	0.0612819i
$601$	−2.53474	+	17.6295i	−0.103394	+	0.719123i	0.870508	+	0.492155i	$0.163791\pi$
$601$	−2.53474	+	17.6295i	−0.103394	+	0.719123i	−0.973902	+	0.226968i	$0.927119\pi$
$602$	−1.74356	−	0.796255i	−0.0710620	−	0.0324529i
$603$	6.85636	+	36.0647i	0.279212	+	1.46867i
$604$	1.24530	+	2.72682i	0.0506704	+	0.110953i
$605$	19.5756	+	22.5915i	0.795862	+	0.918474i
$606$	−2.17179	−	23.0520i	−0.0882228	−	0.936423i
$607$	42.9858	+	12.6218i	1.74474	+	0.512302i	0.989673	−	0.143344i	$-0.0457854\pi$
$607$	42.9858	+	12.6218i	1.74474	+	0.512302i	0.755068	+	0.655646i	$0.227604\pi$
$608$	1.22861	−	1.41790i	0.0498269	−	0.0575033i
$609$	2.35053	+	1.67829i	0.0952482	+	0.0680076i
$610$	−2.85863	−	1.83713i	−0.115743	−	0.0743833i
$611$	−8.06811	−	6.99105i	−0.326401	−	0.282828i
$612$	3.87861	+	1.56416i	0.156784	+	0.0632272i
$613$	23.6523	−	3.40069i	0.955308	−	0.137353i	0.353006	−	0.935621i	$-0.385159\pi$
$613$	23.6523	−	3.40069i	0.955308	−	0.137353i	0.602302	+	0.798268i	$0.294250\pi$
$614$	12.5231	−	10.8513i	0.505390	−	0.437923i
$615$	−9.45673	+	3.77204i	−0.381332	+	0.152103i
$616$	3.74463	−	1.09952i	0.150876	−	0.0443011i
$617$	0.192588	−	0.421710i	0.00775332	−	0.0169774i	−0.905716	−	0.423886i	$-0.860666\pi$
$617$	0.192588	−	0.421710i	0.00775332	−	0.0169774i	0.913469	+	0.406908i	$0.133393\pi$
$618$	4.28030	−	22.0582i	0.172179	−	0.887310i
$619$	12.2638	+	19.0828i	0.492923	+	0.767003i	0.995216	−	0.0976940i	$-0.0311467\pi$
$619$	12.2638	+	19.0828i	0.492923	+	0.767003i	−0.502294	+	0.864697i	$0.667510\pi$
$620$	−8.42357			−0.338299
$621$	−21.7801	−	12.1089i	−0.874007	−	0.485913i
$622$	−7.35524			−0.294918
$623$	−2.87296	−	4.47041i	−0.115103	−	0.179103i
$624$	−0.705460	+	3.63553i	−0.0282410	+	0.145538i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	15.4631	−	4.54039i	0.618031	−	0.181470i
$627$	19.3015	−	7.69883i	0.770826	−	0.307462i
$628$	10.0453	−	8.70433i	0.400852	−	0.347340i
$629$	−11.1592	+	1.60445i	−0.444946	+	0.0639736i
$630$	1.69803	+	0.684774i	0.0676510	+	0.0272821i
$631$	−3.37017	−	2.92027i	−0.134164	−	0.116254i	0.585194	−	0.810894i	$-0.301018\pi$
$631$	−3.37017	−	2.92027i	−0.134164	−	0.116254i	−0.719358	+	0.694639i	$0.755564\pi$
$632$	1.81819	+	1.16848i	0.0723239	+	0.0464797i
$633$	18.6507	+	13.3167i	0.741299	+	0.529291i
$634$	2.72574	−	3.14568i	0.108253	−	0.124931i
$635$	−16.4361	−	4.82607i	−0.652246	−	0.191517i
$636$	−0.220391	−	2.33930i	−0.00873908	−	0.0927592i
$637$	−9.27971	−	10.7094i	−0.367675	−	0.424320i
$638$	−7.25816	−	15.8931i	−0.287353	−	0.629216i
$639$	4.90245	+	25.7871i	0.193938	+	1.02012i
$640$	−0.909632	−	0.415415i	−0.0359564	−	0.0164207i
$641$	0.377453	−	2.62524i	0.0149085	−	0.103691i	−0.981008	−	0.193965i	$-0.937865\pi$
$641$	0.377453	−	2.62524i	0.0149085	−	0.103691i	0.995917	+	0.0902741i	$0.0287743\pi$
$642$	−2.99591	−	5.20425i	−0.118239	−	0.205395i
$643$			6.06592i			0.239217i	0.992821	+	0.119608i	$0.0381639\pi$
$643$			6.06592i			0.239217i	−0.992821	+	0.119608i	$0.961836\pi$
$644$	2.74624	−	1.01238i	0.108217	−	0.0398932i
$645$	−0.265709	+	5.43335i	−0.0104623	+	0.213938i
$646$	−2.20024	+	1.41401i	−0.0865673	+	0.0556334i
$647$	34.6297	+	4.97900i	1.36143	+	0.195745i	0.784034	−	0.620717i	$-0.213159\pi$
$647$	34.6297	+	4.97900i	1.36143	+	0.195745i	0.577399	+	0.816462i	$0.304068\pi$
$648$	7.30469	+	5.25753i	0.286955	+	0.206535i
$649$	23.4604	+	79.8988i	0.920901	+	3.13630i
$650$	1.94491	−	0.888210i	0.0762856	−	0.0348385i
$651$	−7.00623	+	5.49544i	−0.274596	+	0.215383i
$652$	1.76755	+	12.2936i	0.0692226	+	0.481454i
$653$	6.13248	−	20.8853i	0.239982	−	0.817305i	−0.748127	−	0.663555i	$-0.769047\pi$
$653$	6.13248	−	20.8853i	0.239982	−	0.817305i	0.988110	−	0.153750i	$-0.0491351\pi$
$654$	3.87656	−	4.05534i	0.151586	−	0.158576i
$655$	9.02201	−	14.0385i	0.352519	−	0.548531i
$656$	3.17797	−	4.94502i	0.124079	−	0.193071i
$657$	27.8712	−	26.4409i	1.08736	−	1.03156i
$658$	0.858502	−	2.92379i	0.0334679	−	0.113981i
$659$	−2.89667	−	20.1468i	−0.112838	−	0.784809i	−0.965136	−	0.261751i	$-0.915700\pi$
$659$	−2.89667	−	20.1468i	−0.112838	−	0.784809i	0.852297	−	0.523058i	$-0.175209\pi$
$660$	−6.83573	−	8.71500i	−0.266080	−	0.339231i
$661$	−32.7797	+	14.9700i	−1.27498	+	0.582264i	−0.933821	−	0.357741i	$-0.883547\pi$
$661$	−32.7797	+	14.9700i	−1.27498	+	0.582264i	−0.341160	+	0.940005i	$0.610820\pi$
$662$	7.22117	+	24.5930i	0.280659	+	0.955836i
$663$	2.37145	−	4.58573i	0.0920996	−	0.178095i
$664$	−10.7691	−	1.54837i	−0.417923	−	0.0600883i
$665$	−0.963247	+	0.619041i	−0.0373531	+	0.0240054i
$666$	−24.1459	−	2.36729i	−0.935634	−	0.0917305i
$667$	−6.23588	−	11.5245i	−0.241454	−	0.446229i
$668$			4.91808i			0.190286i
$669$	27.0479	−	15.5705i	1.04573	−	0.601992i
$670$	−1.74149	+	12.1123i	−0.0672797	+	0.467940i
$671$	19.7661	+	9.02687i	0.763062	+	0.348479i
$672$	−1.02759	+	0.247915i	−0.0396401	+	0.00956354i
$673$	4.81553	+	10.5446i	0.185625	+	0.406463i	0.979451	−	0.201683i	$-0.0646410\pi$
$673$	4.81553	+	10.5446i	0.185625	+	0.406463i	−0.793826	+	0.608145i	$0.791914\pi$
$674$	−6.62137	−	7.64147i	−0.255046	−	0.294338i
$675$	0.0197109	−	5.19612i	0.000758671	−	0.199999i
$676$	−8.08700	−	2.37456i	−0.311039	−	0.0913291i
$677$	−10.5812	+	12.2113i	−0.406668	+	0.469320i	−0.921729	−	0.387834i	$-0.873224\pi$
$677$	−10.5812	+	12.2113i	−0.406668	+	0.469320i	0.515062	+	0.857153i	$0.327769\pi$
$678$	12.3511	−	17.2983i	0.474340	−	0.664337i
$679$	−1.93787	−	1.24539i	−0.0743686	−	0.0477938i
$680$	1.05355	+	0.912905i	0.0404017	+	0.0350083i
$681$	−40.6362	−	14.1219i	−1.55718	−	0.541152i
$682$	53.3183	−	7.66602i	2.04166	−	0.293547i
$683$	−29.7614	+	25.7884i	−1.13879	+	0.986765i	−0.999994	−	0.00355685i	$-0.998868\pi$
$683$	−29.7614	+	25.7884i	−1.13879	+	0.986765i	−0.138793	+	0.990321i	$0.544322\pi$
$684$	−5.32352	+	1.82742i	−0.203550	+	0.0698733i
$685$	−2.17405	+	0.638359i	−0.0830662	+	0.0243904i
$686$	3.45496	−	7.56532i	0.131911	−	0.288845i
$687$	43.1712	+	8.37719i	1.64708	+	0.319610i
$688$	−1.69799	−	2.64212i	−0.0647352	−	0.100730i
$689$	−2.90053			−0.110501
$690$	−5.55624	−	6.17480i	−0.211523	−	0.235071i
$691$	−8.83854			−0.336234			−0.168117	−	0.985767i	$-0.553769\pi$
$691$	−8.83854			−0.336234			−0.168117	+	0.985767i	$0.553769\pi$
$692$	−1.32607	−	2.06341i	−0.0504097	−	0.0784390i
$693$	−11.3711	−	2.78907i	−0.431953	−	0.105948i
$694$	9.58849	−	20.9959i	0.363974	−	0.796992i
$695$	−15.5964	+	4.57951i	−0.591604	+	0.173711i
$696$	1.75330	+	4.39563i	0.0664586	+	0.166616i
$697$	−6.19292	+	5.36620i	−0.234574	+	0.203259i
$698$	−10.8167	+	1.55521i	−0.409419	+	0.0588656i
$699$	5.18904	−	14.9316i	0.196267	−	0.564766i
$700$	0.461235	+	0.399662i	0.0174330	+	0.0151058i
$701$	−11.4334	−	7.34782i	−0.431835	−	0.277523i	0.306613	−	0.951834i	$-0.400804\pi$
$701$	−11.4334	−	7.34782i	−0.431835	−	0.277523i	−0.738447	+	0.674311i	$0.764441\pi$
$702$	7.30732	−	8.36875i	0.275797	−	0.315858i
$703$	9.93607	−	11.4668i	0.374746	−	0.432480i
$704$	6.13572	+	1.80161i	0.231248	+	0.0679007i
$705$	−8.60997	+	0.811168i	−0.324270	+	0.0305504i
$706$	−23.4331	−	27.0433i	−0.881918	−	1.01779i
$707$	−3.38917	−	7.42124i	−0.127463	−	0.279104i
$708$	−5.28973	−	21.9256i	−0.198800	−	0.824013i
$709$	18.0091	+	8.22448i	0.676346	+	0.308877i	0.723813	−	0.689996i	$-0.242388\pi$
$709$	18.0091	+	8.22448i	0.676346	+	0.308877i	−0.0474672	+	0.998873i	$0.515115\pi$
$710$	−1.24521	+	8.66060i	−0.0467318	+	0.325027i
$711$	−2.95650	−	5.77059i	−0.110877	−	0.216414i
$712$		−	8.70716i		−	0.326314i
$713$	39.5073	−	8.43655i	1.47956	−	0.315951i
$714$	1.47185	+	0.0719781i	0.0550825	+	0.00269371i
$715$	−11.5023	+	7.39207i	−0.430161	+	0.276448i
$716$	8.87100	+	1.27546i	0.331525	+	0.0476661i
$717$	14.2525	+	7.37052i	0.532271	+	0.275257i
$718$	7.55718	+	25.7374i	0.282031	+	0.960511i
$719$	47.1700	−	21.5418i	1.75914	−	0.803374i	0.773660	−	0.633601i	$-0.218424\pi$
$719$	47.1700	−	21.5418i	1.75914	−	0.803374i	0.985483	−	0.169773i	$-0.0543036\pi$
$720$	1.73399	+	2.44812i	0.0646218	+	0.0912361i
$721$	−1.12676	−	7.83675i	−0.0419626	−	0.291856i
$722$	−4.36124	+	14.8530i	−0.162309	+	0.552772i
$723$	−28.4299	−	27.1766i	−1.05732	−	1.01071i
$724$	−6.30953	+	9.81783i	−0.234492	+	0.364877i
$725$	1.47717	−	2.29852i	0.0548606	−	0.0853648i
$726$	37.4267	+	35.7768i	1.38904	+	1.32780i
$727$	−1.64874	+	5.61508i	−0.0611483	+	0.208252i	−0.984400	−	0.175943i	$-0.943703\pi$
$727$	−1.64874	+	5.61508i	−0.0611483	+	0.208252i	0.923252	+	0.384195i	$0.125521\pi$
$728$	0.185707	+	1.29162i	0.00688275	+	0.0478706i
$729$	−11.0296	−	24.6445i	−0.408502	−	0.912757i
$730$	11.6487	−	5.31978i	0.431137	−	0.196894i
$731$	1.23350	+	4.20092i	0.0456227	+	0.155377i
$732$	−5.22793	−	2.70356i	−0.193230	−	0.0999265i
$733$	−28.7121	−	4.12818i	−1.06051	−	0.152478i	−0.410082	−	0.912049i	$-0.634500\pi$
$733$	−28.7121	−	4.12818i	−1.06051	−	0.152478i	−0.650425	+	0.759571i	$0.725409\pi$
$734$	−5.88345	+	3.78107i	−0.217162	+	0.139562i
$735$	−11.4655	−	0.560702i	−0.422912	−	0.0206818i
$736$	4.68231	+	1.03730i	0.172592	+	0.0382353i
$737$		−	78.2518i		−	2.88244i
$738$	−15.6945	+	8.04091i	−0.577723	+	0.295990i
$739$	−1.63391	+	11.3641i	−0.0601045	+	0.418036i	0.937449	+	0.348124i	$0.113181\pi$
$739$	−1.63391	+	11.3641i	−0.0601045	+	0.418036i	−0.997553	+	0.0699125i	$0.977728\pi$
$740$	−7.35639	−	3.35955i	−0.270426	−	0.123500i
$741$	1.62952	+	6.75423i	0.0598618	+	0.248123i
$742$	−0.343930	−	0.753102i	−0.0126261	−	0.0276472i
$743$	7.16578	+	8.26975i	0.262887	+	0.303388i	0.871813	−	0.489840i	$-0.162945\pi$
$743$	7.16578	+	8.26975i	0.262887	+	0.303388i	−0.608926	+	0.793227i	$0.708399\pi$
$744$	−14.5257	+	1.36851i	−0.532539	+	0.0501719i
$745$	6.73072	+	1.97632i	0.246594	+	0.0724067i
$746$	−0.424171	+	0.489519i	−0.0155300	+	0.0179226i
$747$	25.6054	+	20.2413i	0.936851	+	0.740590i
$748$	−7.49941	−	4.81958i	−0.274205	−	0.176221i
$749$	−1.59909	−	1.38562i	−0.0584294	−	0.0506293i
$750$	0.568568	−	1.63607i	0.0207612	−	0.0597409i
$751$	31.6399	−	4.54913i	1.15456	−	0.166000i	0.461673	−	0.887050i	$-0.347249\pi$
$751$	31.6399	−	4.54913i	1.15456	−	0.166000i	0.692883	+	0.721050i	$0.256340\pi$
$752$	3.77344	−	3.26971i	0.137603	−	0.119234i
$753$	8.11283	+	20.3394i	0.295648	+	0.741208i
$754$	5.60526	−	1.64585i	0.204132	−	0.0599385i
$755$	1.24530	−	2.72682i	0.0453210	−	0.0992391i
$756$	3.03935	+	0.904971i	0.110540	+	0.0329135i
$757$	−4.50845	−	7.01529i	−0.163862	−	0.254975i	0.749606	−	0.661884i	$-0.230243\pi$
$757$	−4.50845	−	7.01529i	−0.163862	−	0.254975i	−0.913469	+	0.406909i	$0.866607\pi$
$758$	−10.8320			−0.393435
$759$	40.7886	+	34.0278i	1.48053	+	1.23513i
$760$	−1.87615			−0.0680549
$761$	−17.4064	−	27.0850i	−0.630983	−	0.981829i	−0.998654	−	0.0518727i	$-0.983481\pi$
$761$	−17.4064	−	27.0850i	−0.630983	−	0.981829i	0.367671	−	0.929956i	$-0.380155\pi$
$762$	−29.1267	−	5.65191i	−1.05515	−	0.204747i
$763$	0.821180	−	1.79813i	0.0297287	−	0.0650968i
$764$	−0.586901	+	0.172330i	−0.0212333	+	0.00623467i
$765$	−1.35784	−	3.95557i	−0.0490929	−	0.143014i
$766$	−11.7504	+	10.1818i	−0.424560	+	0.367884i
$767$	−27.5591	+	3.96240i	−0.995102	+	0.143074i
$768$	−1.63607	−	0.568568i	−0.0590367	−	0.0205164i
$769$	−10.2783	−	8.90616i	−0.370643	−	0.321164i	0.449545	−	0.893258i	$-0.351586\pi$
$769$	−10.2783	−	8.90616i	−0.370643	−	0.321164i	−0.820189	+	0.572093i	$0.806132\pi$
$770$	−3.28318	−	2.10997i	−0.118318	−	0.0760381i
$771$	3.73631	−	5.23290i	0.134560	−	0.188458i
$772$	−9.72121	+	11.2189i	−0.349874	+	0.403776i
$773$	−16.1289	−	4.73588i	−0.580117	−	0.170338i	−0.0215077	−	0.999769i	$-0.506847\pi$
$773$	−16.1289	−	4.73588i	−0.580117	−	0.170338i	−0.558609	+	0.829431i	$0.688665\pi$
$774$	0.424519	+	9.41252i	0.0152590	+	0.338326i
$775$	5.51627	+	6.36611i	0.198150	+	0.228678i
$776$	−1.56796	−	3.43336i	−0.0562866	−	0.123250i
$777$	−8.31034	+	2.00494i	−0.298132	+	0.0719270i
$778$	−11.4571	−	5.23226i	−0.410755	−	0.187586i
$779$	1.56949	−	10.9160i	0.0562327	−	0.391107i
$780$	3.20953	−	1.84762i	0.114920	−	0.0661553i
$781$		−	55.9519i		−	2.00211i
$782$	−5.85555	−	3.22643i	−0.209394	−	0.115377i
$783$	2.07376	−	14.0449i	0.0741103	−	0.501925i
$784$	5.57544	−	3.58311i	0.199123	−	0.127968i
$785$	−13.1566	−	1.89163i	−0.469579	−	0.0675152i
$786$	13.2770	−	25.6740i	0.473574	−	0.915760i
$787$	11.3775	+	38.7483i	0.405565	+	1.38123i	0.868876	+	0.495031i	$0.164843\pi$
$787$	11.3775	+	38.7483i	0.405565	+	1.38123i	−0.463311	+	0.886196i	$0.653339\pi$
$788$	18.9267	−	8.64353i	0.674236	−	0.307913i
$789$	11.3259	+	14.4396i	0.403212	+	0.514062i
$790$	−0.307584	−	2.13929i	−0.0109433	−	0.0761126i
$791$	2.11001	−	7.18603i	0.0750233	−	0.255506i
$792$	−13.2035	−	13.9177i	−0.469166	−	0.494545i
$793$	−3.92802	+	6.11212i	−0.139488	+	0.217048i
$794$	12.5352	−	19.5052i	0.444859	−	0.692214i
$795$	−1.62360	+	1.69847i	−0.0575831	+	0.0602387i
$796$	−1.56972	+	5.34598i	−0.0556373	+	0.189483i
$797$	−1.50859	−	10.4925i	−0.0534371	−	0.371664i	−0.998939	−	0.0460475i	$-0.985337\pi$
$797$	−1.50859	−	10.4925i	−0.0534371	−	0.371664i	0.945502	−	0.325616i	$-0.105572\pi$
$798$	−1.56047	+	1.22397i	−0.0552399	+	0.0433282i
$799$	−6.33144	+	2.89147i	−0.223990	+	0.102293i
$800$	0.281733	+	0.959493i	0.00996075	+	0.0339232i
$801$	−13.1179	+	22.5888i	−0.463498	+	0.798134i
$802$	−14.3296	−	2.06028i	−0.505996	−	0.0727512i
$803$	−68.8908	+	44.2734i	−2.43110	+	1.56238i
$804$	−1.03526	+	21.1696i	−0.0365109	+	0.746595i
$805$	−2.56351	−	1.41251i	−0.0903518	−	0.0497843i
$806$			18.0107i			0.634399i
$807$	−11.6526	−	20.2419i	−0.410189	−	0.712548i
$808$	1.90247	−	13.2319i	0.0669285	−	0.465498i
$809$	−33.2532	−	15.1862i	−1.16912	−	0.533919i	−0.266280	−	0.963896i	$-0.585795\pi$
$809$	−33.2532	−	15.1862i	−1.16912	−	0.533919i	−0.902840	+	0.429976i	$0.858522\pi$
$810$	−0.810179	−	8.96346i	−0.0284668	−	0.314944i
$811$	−19.3076	−	42.2778i	−0.677983	−	1.48458i	−0.864766	−	0.502175i	$-0.832533\pi$
$811$	−19.3076	−	42.2778i	−0.677983	−	1.48458i	0.186783	−	0.982401i	$-0.440194\pi$
$812$	1.09198	+	1.26021i	0.0383209	+	0.0442247i
$813$	2.37024	+	25.1584i	0.0831279	+	0.882344i
$814$	49.6209	+	14.5700i	1.73921	+	0.510678i
$815$	8.13337	−	9.38641i	0.284899	−	0.328791i
$816$	1.96507	+	1.40307i	0.0687911	+	0.0491171i
$817$	−4.95700	−	3.18567i	−0.173424	−	0.111453i
$818$	17.6992	+	15.3365i	0.618839	+	0.536227i
$819$	1.46413	−	3.63060i	0.0511610	−	0.126863i
$820$	−5.81832	+	0.836549i	−0.203185	+	0.0292135i
$821$	22.0304	−	19.0895i	0.768867	−	0.666227i	−0.179373	−	0.983781i	$-0.557407\pi$
$821$	22.0304	−	19.0895i	0.768867	−	0.666227i	0.948240	+	0.317554i	$0.102861\pi$
$822$	−3.64526	+	1.45399i	−0.127143	+	0.0507139i
$823$	37.4939	−	11.0092i	1.30696	−	0.383757i	0.447187	−	0.894441i	$-0.352426\pi$
$823$	37.4939	−	11.0092i	1.30696	−	0.383757i	0.859769	+	0.510684i	$0.170608\pi$
$824$	5.38911	−	11.8005i	0.187739	−	0.411090i
$825$	−2.10990	+	10.8732i	−0.0734574	+	0.378557i
$826$	−4.29663	−	6.68569i	−0.149499	−	0.232625i
$827$	−9.45116			−0.328649			−0.164324	−	0.986406i	$-0.552544\pi$
$827$	−9.45116			−0.328649			−0.164324	+	0.986406i	$0.552544\pi$
$828$	−10.5844	−	9.74524i	−0.367835	−	0.338671i
$829$	−41.1973			−1.43084			−0.715421	−	0.698694i	$-0.753765\pi$
$829$	−41.1973			−1.43084			−0.715421	+	0.698694i	$0.753765\pi$
$830$	5.88210	+	9.15273i	0.204171	+	0.317696i
$831$	3.58755	−	18.4881i	0.124451	−	0.641347i
$832$	−0.888210	+	1.94491i	−0.0307931	+	0.0674276i
$833$	−8.86483	+	2.60295i	−0.307148	+	0.0901868i
$834$	−26.1506	+	10.4308i	−0.905522	+	0.361189i
$835$	3.71683	−	3.22065i	0.128626	−	0.111455i
$836$	11.8754	−	1.70742i	0.410718	−	0.0590523i
$837$	39.7455	+	18.3337i	1.37381	+	0.633705i
$838$	−3.92185	−	3.39830i	−0.135478	−	0.117392i
$839$	19.1742	+	12.3225i	0.661967	+	0.425420i	0.828021	−	0.560696i	$-0.189466\pi$
$839$	19.1742	+	12.3225i	0.661967	+	0.425420i	−0.166055	+	0.986117i	$0.553103\pi$
$840$	0.860290	+	0.614251i	0.0296828	+	0.0211937i
$841$	−14.1023	+	16.2749i	−0.486286	+	0.561204i
$842$	37.0721	+	10.8853i	1.27759	+	0.375134i
$843$	−3.01940	−	32.0488i	−0.103994	−	1.10382i
$844$	8.66451	+	9.99937i	0.298245	+	0.344193i
$845$	3.50129	+	7.66675i	0.120448	+	0.263744i
$846$	−14.7154	+	2.79758i	−0.505925	+	0.0961828i
$847$	16.5950	+	7.57867i	0.570210	+	0.260406i
$848$	0.193061	−	1.34277i	0.00662973	−	0.0461108i
$849$	23.4854	+	40.7969i	0.806017	+	1.40015i
$850$		−	1.39404i		−	0.0478153i
$851$	37.8668	+	8.38886i	1.29806	+	0.287566i
$852$	−0.740237	+	15.1368i	−0.0253601	+	0.518577i
$853$	−6.03875	+	3.88087i	−0.206763	+	0.132878i	−0.639924	−	0.768438i	$-0.721034\pi$
$853$	−6.03875	+	3.88087i	−0.206763	+	0.132878i	0.433162	+	0.901316i	$0.357398\pi$
$854$	−2.05273	−	0.295139i	−0.0702431	−	0.0100994i
$855$	4.86724	+	2.82654i	0.166456	+	0.0966655i
$856$	−0.976758	−	3.32653i	−0.0333849	−	0.113699i
$857$	−2.81098	+	1.28373i	−0.0960211	+	0.0438514i	−0.462847	−	0.886438i	$-0.653172\pi$
$857$	−2.81098	+	1.28373i	−0.0960211	+	0.0438514i	0.366825	+	0.930290i	$0.380445\pi$
$858$	−18.6338	+	14.6157i	−0.636146	+	0.498971i
$859$	3.18538	+	22.1548i	0.108684	+	0.755913i	0.969162	+	0.246425i	$0.0792560\pi$
$859$	3.18538	+	22.1548i	0.108684	+	0.755913i	−0.860478	+	0.509488i	$0.829835\pi$
$860$	−0.884836	+	3.01347i	−0.0301727	+	0.102759i
$861$	−4.29358	+	4.49159i	−0.146325	+	0.153073i
$862$	17.1410	−	26.6719i	0.583824	−	0.908448i
$863$	−23.8517	+	37.1140i	−0.811921	+	1.26337i	0.149629	+	0.988742i	$0.452192\pi$
$863$	−23.8517	+	37.1140i	−0.811921	+	1.26337i	−0.961550	+	0.274631i	$0.911444\pi$
$864$	3.38784	+	3.93987i	0.115256	+	0.134037i
$865$	−0.691027	+	2.35342i	−0.0234956	+	0.0800188i
$866$	−3.33323	−	23.1831i	−0.113268	−	0.787794i
$867$	16.0950	+	20.5197i	0.546613	+	0.696887i
$868$	−4.67634	+	2.13561i	−0.158725	+	0.0724875i
$869$	3.89380	+	13.2611i	0.132088	+	0.449851i
$870$	2.17383	−	4.20358i	0.0736997	−	0.142515i
$871$	25.8977	+	3.72353i	0.877511	+	0.126167i
$872$	2.72483	−	1.75114i	0.0922743	−	0.0593011i
$873$	−1.10486	+	11.2693i	−0.0373937	+	0.381409i
$874$	8.79929	−	1.87904i	0.297640	−	0.0635594i
$875$		−	0.610301i		−	0.0206319i
$876$	19.2229	−	11.0660i	0.649482	−	0.373884i
$877$	−2.51490	+	17.4915i	−0.0849222	+	0.590647i	0.902277	+	0.431156i	$0.141894\pi$
$877$	−2.51490	+	17.4915i	−0.0849222	+	0.590647i	−0.987199	+	0.159491i	$0.949015\pi$
$878$	15.8971	+	7.25995i	0.536500	+	0.245011i
$879$	2.38406	−	0.575175i	0.0804123	−	0.0194002i
$880$	−2.65647	−	5.81687i	−0.0895497	−	0.196087i
$881$	23.0711	+	26.6254i	0.777284	+	0.897033i	0.996910	−	0.0785509i	$-0.0250293\pi$
$881$	23.0711	+	26.6254i	0.777284	+	0.897033i	−0.219626	+	0.975584i	$0.570484\pi$
$882$	−19.8624	+	0.895825i	−0.668802	+	0.0301640i
$883$	6.65686	+	1.95463i	0.224021	+	0.0657785i	0.391817	−	0.920043i	$-0.371847\pi$
$883$	6.65686	+	1.95463i	0.224021	+	0.0657785i	−0.167796	+	0.985822i	$0.553665\pi$
$884$	1.95191	−	2.25262i	0.0656497	−	0.0757638i
$885$	−13.1062	+	18.3559i	−0.440560	+	0.617027i
$886$	14.9390	+	9.60071i	0.501885	+	0.322542i
$887$	−18.9633	−	16.4318i	−0.636725	−	0.551726i	0.275558	−	0.961284i	$-0.411137\pi$
$887$	−18.9633	−	16.4318i	−0.636725	−	0.551726i	−0.912284	+	0.409559i	$0.865683\pi$
$888$	−13.2313	−	4.59813i	−0.444012	−	0.154303i
$889$	−10.3480	+	1.48782i	−0.347062	+	0.0499000i
$890$	−6.58043	+	5.70197i	−0.220576	+	0.191131i
$891$	13.2855	+	55.9983i	0.445081	+	1.87601i
$892$	17.2889	−	5.07648i	0.578876	−	0.169973i
$893$	3.89143	−	8.52103i	0.130222	−	0.285146i
$894$	11.9276	+	2.31451i	0.398919	+	0.0774087i
$895$	−4.84534	−	7.53950i	−0.161962	−	0.252018i
$896$	−0.610301			−0.0203887
$897$	−13.2025	+	11.8800i	−0.440819	+	0.396660i
$898$	28.0388			0.935667
$899$	12.4430	+	19.3617i	0.414998	+	0.645750i
$900$	0.714647	−	2.91364i	0.0238216	−	0.0971212i
$901$	−0.785602	+	1.72023i	−0.0261722	+	0.0573091i
$902$	36.0667	−	10.5901i	1.20089	−	0.352613i
$903$	1.23000	+	3.08369i	0.0409318	+	0.102619i
$904$	9.27429	−	8.03622i	0.308458	−	0.267281i
$905$	11.5517	−	1.66088i	0.383991	−	0.0552096i
$906$	1.70440	−	4.90448i	0.0566250	−	0.162940i
$907$	20.1996	+	17.5031i	0.670717	+	0.581180i	0.922215	−	0.386678i	$-0.126378\pi$
$907$	20.1996	+	17.5031i	0.670717	+	0.581180i	−0.251498	+	0.967858i	$0.580923\pi$
$908$	−20.8948	−	13.4283i	−0.693417	−	0.445632i
$909$	−24.8703	+	31.4611i	−0.824896	+	1.04350i
$910$	0.854529	−	0.986179i	0.0283274	−	0.0326915i
$911$	48.9536	+	14.3741i	1.62191	+	0.476234i	0.961530	−	0.274701i	$-0.0885789\pi$
$911$	48.9536	+	14.3741i	1.62191	+	0.476234i	0.660376	+	0.750935i	$0.270397\pi$
$912$	−3.23525	+	0.304802i	−0.107130	+	0.0100930i
$913$	−45.5613	−	52.5806i	−1.50786	−	1.74016i
$914$	−10.4125	−	22.8001i	−0.344414	−	0.754162i
$915$	1.38035	+	5.72146i	0.0456331	+	0.189146i
$916$	23.0954	+	10.5473i	0.763093	+	0.348493i
$917$	1.44940	−	10.0808i	0.0478635	−	0.332898i
$918$	−2.98411	−	6.60044i	−0.0984904	−	0.217847i
$919$		−	56.0940i		−	1.85037i	−0.379517	−	0.925185i	$-0.623910\pi$
$919$		−	56.0940i		−	1.85037i	0.379517	−	0.925185i	$-0.376090\pi$
$920$	−2.28232	−	4.21794i	−0.0752459	−	0.139061i
$921$	−28.6665	−	1.40189i	−0.944594	−	0.0461937i
$922$	−15.7116	+	10.0972i	−0.517434	+	0.332535i
$923$	18.5175	+	2.66241i	0.609510	+	0.0876343i
$924$	−6.00435	−	3.10507i	−0.197529	−	0.102149i
$925$	2.27843	+	7.75963i	0.0749144	+	0.255135i
$926$	−20.3177	+	9.27880i	−0.667682	+	0.304920i
$927$	−31.7591	+	22.4947i	−1.04311	+	0.738824i
$928$	0.388840	+	2.70444i	0.0127643	+	0.0887776i
$929$	−11.8265	+	40.2775i	−0.388016	+	1.32146i	0.501737	+	0.865020i	$0.332694\pi$
$929$	−11.8265	+	40.2775i	−0.388016	+	1.32146i	−0.889753	+	0.456441i	$0.849124\pi$
$930$	10.5466	+	10.0816i	0.345836	+	0.330590i
$931$	6.72244	−	10.4603i	0.220319	−	0.342823i
$932$	4.93416	−	7.67771i	0.161624	−	0.251492i
$933$	9.20900	+	8.80302i	0.301489	+	0.288198i
$934$	−6.37666	+	21.7169i	−0.208651	+	0.710599i
$935$	1.26867	+	8.82382i	0.0414901	+	0.288570i
$936$	5.23439	−	3.70748i	0.171092	−	0.121183i
$937$	−42.2416	+	19.2911i	−1.37997	+	0.630212i	−0.960685	−	0.277642i	$-0.910447\pi$
$937$	−42.2416	+	19.2911i	−1.37997	+	0.630212i	−0.419287	+	0.907854i	$0.637720\pi$
$938$	2.10403	+	7.16567i	0.0686991	+	0.233968i
$939$	−24.7944	−	12.8221i	−0.809136	−	0.418434i
$940$	−4.94216	−	0.710576i	−0.161196	−	0.0231764i
$941$	37.0772	−	23.8280i	1.20868	−	0.776772i	0.228244	−	0.973604i	$-0.426702\pi$
$941$	37.0772	−	23.8280i	1.20868	−	0.776772i	0.980437	+	0.196832i	$0.0630653\pi$
$942$	−22.9947	−	1.12452i	−0.749209	−	0.0366388i
$943$	26.4506	−	9.75078i	0.861350	−	0.317529i
$944$		−	13.0219i		−	0.423827i
$945$	−1.30642	−	2.88962i	−0.0424978	−	0.0939993i
$946$	2.85824	−	19.8795i	0.0929295	−	0.646339i
$947$	0.654332	+	0.298824i	0.0212629	+	0.00971046i	0.426018	−	0.904715i	$-0.359916\pi$
$947$	0.654332	+	0.298824i	0.0212629	+	0.00971046i	−0.404755	+	0.914425i	$0.632643\pi$
$948$	−0.877955	−	3.63906i	−0.0285146	−	0.118191i
$949$	−11.3744	−	24.9064i	−0.369227	−	0.808495i
$950$	1.22861	+	1.41790i	0.0398615	+	0.0460026i
$951$	−7.17758	+	0.676218i	−0.232749	+	0.0219279i
$952$	0.816324	+	0.239694i	0.0264572	+	0.00776854i
$953$	−24.0900	+	27.8013i	−0.780350	+	0.900572i	−0.997135	−	0.0756472i	$-0.975898\pi$
$953$	−24.0900	+	27.8013i	−0.780350	+	0.900572i	0.216784	+	0.976220i	$0.430443\pi$
$954$	−2.52382	+	3.19265i	−0.0817116	+	0.103366i
$955$	0.514577	+	0.330698i	0.0166513	+	0.0107011i
$956$	7.00119	+	6.06657i	0.226435	+	0.196207i
$957$	−9.93405	+	28.5855i	−0.321122	+	0.924039i
$958$	18.3404	−	2.63696i	0.592553	−	0.0851963i
$959$	−1.04508	+	0.905568i	−0.0337474	+	0.0292423i
$960$	0.641705	+	1.60879i	0.0207109	+	0.0519236i
$961$	−38.3381	+	11.2571i	−1.23671	+	0.363131i
$962$	−7.18315	+	15.7289i	−0.231594	+	0.507120i
$963$	−2.47766	+	10.1015i	−0.0798415	+	0.325516i
$964$	−12.2763	−	19.1023i	−0.395394	−	0.615245i
$965$	14.8447			0.477868
$966$	−4.65003	−	2.01927i	−0.149612	−	0.0649690i
$967$	−9.13736			−0.293838			−0.146919	−	0.989149i	$-0.546936\pi$
$967$	−9.13736			−0.293838			−0.146919	+	0.989149i	$0.546936\pi$
$968$	16.1613	+	25.1474i	0.519443	+	0.808269i
$969$	4.44711	+	0.862943i	0.142862	+	0.0277217i
$970$	−1.56796	+	3.43336i	−0.0503442	+	0.110239i
$971$	24.4251	−	7.17185i	0.783838	−	0.230156i	0.134761	−	0.990878i	$-0.456973\pi$
$971$	24.4251	−	7.17185i	0.783838	−	0.230156i	0.649077	+	0.760723i	$0.275155\pi$
$972$	−2.85330	−	15.3251i	−0.0915197	−	0.491553i
$973$	−7.49729	+	6.49644i	−0.240352	+	0.208266i
$974$	−32.5220	+	4.67595i	−1.04207	+	0.149827i
$975$	−3.49813	−	1.21567i	−0.112030	−	0.0389326i
$976$	−2.56809	−	2.22526i	−0.0822024	−	0.0712288i
$977$	40.5372	+	26.0517i	1.29690	+	0.833468i	0.992871	−	0.119195i	$-0.0380313\pi$
$977$	40.5372	+	26.0517i	1.29690	+	0.833468i	0.304030	+	0.952662i	$0.401668\pi$
$978$	12.5004	−	17.5074i	0.399718	−	0.559825i
$979$	36.4627	−	42.0802i	1.16535	−	1.34489i
$980$	−6.35907	−	1.86719i	−0.203133	−	0.0596453i
$981$	−9.70715	+	0.437807i	−0.309926	+	0.0139781i
$982$	−10.7262	−	12.3786i	−0.342285	−	0.395018i
$983$	4.13955	+	9.06436i	0.132031	+	0.289108i	0.964088	−	0.265582i	$-0.0855641\pi$
$983$	4.13955	+	9.06436i	0.132031	+	0.289108i	−0.832057	+	0.554690i	$0.812837\pi$
$984$	−9.89730	+	2.38781i	−0.315514	+	0.0761206i
$985$	−18.9267	−	8.64353i	−0.603055	−	0.275406i
$986$	0.542060	−	3.77011i	0.0172627	−	0.120065i
$987$	−4.57417	+	2.63319i	−0.145597	+	0.0838154i
$988$			4.01144i			0.127621i
$989$	1.13184	−	15.0197i	0.0359904	−	0.477597i
$990$	−1.87187	+	19.0927i	−0.0594919	+	0.606806i
$991$	−43.4740	+	27.9391i	−1.38100	+	0.887514i	−0.999323	−	0.0367826i	$-0.988289\pi$
$991$	−43.4740	+	27.9391i	−1.38100	+	0.887514i	−0.381675	+	0.924296i	$0.624653\pi$
$992$	−8.33783	−	1.19880i	−0.264726	−	0.0380619i
$993$	20.3927	−	39.4338i	0.647143	−	1.25139i
$994$	1.50443	+	5.12362i	0.0477177	+	0.162511i
$995$	5.06817	−	2.31456i	0.160672	−	0.0733764i
$996$	11.6302	+	14.8275i	0.368516	+	0.469827i
$997$	−3.05905	−	21.2762i	−0.0968812	−	0.673824i	−0.979159	−	0.203095i	$-0.934900\pi$
$997$	−3.05905	−	21.2762i	−0.0968812	−	0.673824i	0.882278	−	0.470729i	$-0.156009\pi$
$998$	1.14819	−	3.91038i	0.0363454	−	0.123781i
$999$	27.3982	+	31.8626i	0.866839	+	1.00809i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.q.b.11.4	yes	160
3.2	odd	2		690.2.q.a.11.12	✓	160
23.21	odd	22		690.2.q.a.251.12	yes	160
69.44	even	22	inner	690.2.q.b.251.4	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.q.a.11.12	✓	160	3.2	odd	2
690.2.q.a.251.12	yes	160	23.21	odd	22
690.2.q.b.11.4	yes	160	1.1	even	1	trivial
690.2.q.b.251.4	yes	160	69.44	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:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.q (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 - 0.841254i) q^{2} +(-0.329943 + 1.70033i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.60879 - 0.641705i) q^{6} +(0.461235 - 0.399662i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.78228 - 1.12203i) q^{9} +O(q^{10})\)	\(q+(-0.540641 - 0.841254i) q^{2} +(-0.329943 + 1.70033i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(1.60879 - 0.641705i) q^{6} +(0.461235 - 0.399662i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.78228 - 1.12203i) q^{9} +(-0.755750 - 0.654861i) q^{10} +(5.37960 + 3.45726i) q^{11} +(-1.40962 - 1.00647i) q^{12} +(-1.40018 + 1.61589i) q^{13} +(-0.585580 - 0.171942i) q^{14} +(0.162462 + 1.72441i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(0.579107 + 1.26807i) q^{17} +(0.560302 + 2.94721i) q^{18} +(-1.70660 - 0.779379i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(0.527378 + 0.916119i) q^{21} -6.39475i q^{22} +(-0.323878 - 4.78488i) q^{23} +(-0.0846018 + 1.72998i) q^{24} +(0.841254 - 0.540641i) q^{25} +(2.11636 + 0.304287i) q^{26} +(2.82581 - 4.36059i) q^{27} +(0.171942 + 0.585580i) q^{28} +(2.48534 - 1.13502i) q^{29} +(1.36284 - 1.06896i) q^{30} +(1.19880 + 8.33783i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(-7.65346 + 8.00643i) q^{33} +(0.753677 - 1.17274i) q^{34} +(0.329954 - 0.513418i) q^{35} +(2.17643 - 2.06474i) q^{36} +(-2.27843 + 7.75963i) q^{37} +(0.267003 + 1.85705i) q^{38} +(-2.28557 - 2.91392i) q^{39} +(0.909632 - 0.415415i) q^{40} +(1.65607 + 5.64005i) q^{41} +(0.485566 - 0.938950i) q^{42} +(3.10873 + 0.446968i) q^{43} +(-5.37960 + 3.45726i) q^{44} +(-2.98569 - 0.292720i) q^{45} +(-3.85020 + 2.85937i) q^{46} +4.99298i q^{47} +(1.50109 - 0.864128i) q^{48} +(-0.943196 + 6.56007i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(-2.34721 + 0.566286i) q^{51} +(-0.888210 - 1.94491i) q^{52} +(0.888367 + 1.02523i) q^{53} +(-5.19612 - 0.0197109i) q^{54} +(6.13572 + 1.80161i) q^{55} +(0.399662 - 0.461235i) q^{56} +(1.88829 - 2.64464i) q^{57} +(-2.29852 - 1.47717i) q^{58} +(9.84131 + 8.52754i) q^{59} +(-1.63607 - 0.568568i) q^{60} +(3.36348 - 0.483595i) q^{61} +(6.36611 - 5.51627i) q^{62} +(-1.73171 + 0.594452i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-0.888210 + 1.94491i) q^{65} +(10.8732 + 2.10990i) q^{66} +(-6.61576 - 10.2943i) q^{67} -1.39404 q^{68} +(8.24276 + 1.02804i) q^{69} -0.610301 q^{70} +(-4.73042 - 7.36068i) q^{71} +(-2.91364 - 0.714647i) q^{72} +(-5.31978 + 11.6487i) q^{73} +(7.75963 - 2.27843i) q^{74} +(0.641705 + 1.60879i) q^{75} +(1.41790 - 1.22861i) q^{76} +(3.86300 - 0.555415i) q^{77} +(-1.21567 + 3.49813i) q^{78} +(1.63339 + 1.41534i) q^{79} +(-0.841254 - 0.540641i) q^{80} +(6.48211 + 6.24358i) q^{81} +(3.84937 - 4.44241i) q^{82} +(-10.4392 - 3.06521i) q^{83} +(-1.05241 + 0.0991505i) q^{84} +(0.912905 + 1.05355i) q^{85} +(-1.30469 - 2.85688i) q^{86} +(1.10989 + 4.60041i) q^{87} +(5.81687 + 2.65647i) q^{88} +(1.23916 - 8.61853i) q^{89} +(1.36793 + 2.66997i) q^{90} +1.30490i q^{91} +(4.48703 + 1.69310i) q^{92} +(-14.5726 - 0.712650i) q^{93} +(4.20036 - 2.69941i) q^{94} +(-1.85705 - 0.267003i) q^{95} +(-1.53850 - 0.795618i) q^{96} +(-1.06339 - 3.62156i) q^{97} +(6.02862 - 2.75318i) q^{98} +(-11.0884 - 15.6551i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9}+O(q^{10}) \) 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9	\( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9} + 12 q^{11} + 12 q^{14} - 16 q^{16} - 8 q^{18} - 16 q^{20} + 70 q^{21} - 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} + 2 q^{30} - 4 q^{31} - 16 q^{33} + 2 q^{36} - 72 q^{38} + 140 q^{39} - 44 q^{41} + 44 q^{43} - 12 q^{44} + 2 q^{45} + 4 q^{46} + 70 q^{49} + 2 q^{51} + 52 q^{53} - 62 q^{54} + 10 q^{55} + 54 q^{56} - 94 q^{57} - 36 q^{58} - 44 q^{61} + 16 q^{64} - 54 q^{66} - 44 q^{67} - 30 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} + 24 q^{74} + 88 q^{77} - 54 q^{78} - 44 q^{79} + 16 q^{80} - 66 q^{81} - 28 q^{82} - 4 q^{83} - 4 q^{84} - 158 q^{86} + 156 q^{87} - 80 q^{89} + 8 q^{90} + 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} + 88 q^{98} - 58 q^{99}+O(q^{100}) \) 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9 + 12 * q^11 + 12 * q^14 - 16 * q^16 - 8 * q^18 - 16 * q^20 + 70 * q^21 - 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 + 2 * q^30 - 4 * q^31 - 16 * q^33 + 2 * q^36 - 72 * q^38 + 140 * q^39 - 44 * q^41 + 44 * q^43 - 12 * q^44 + 2 * q^45 + 4 * q^46 + 70 * q^49 + 2 * q^51 + 52 * q^53 - 62 * q^54 + 10 * q^55 + 54 * q^56 - 94 * q^57 - 36 * q^58 - 44 * q^61 + 16 * q^64 - 54 * q^66 - 44 * q^67 - 30 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 + 24 * q^74 + 88 * q^77 - 54 * q^78 - 44 * q^79 + 16 * q^80 - 66 * q^81 - 28 * q^82 - 4 * q^83 - 4 * q^84 - 158 * q^86 + 156 * q^87 - 80 * q^89 + 8 * q^90 + 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 + 88 * q^98 - 58 * q^99

Introduction

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