LMFDB - Embedded newform 966.2.q.f.547.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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([0, 0, 8]))

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

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

chi := DirichletCharacter("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (of order $11$, 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:	$30$
Relative dimension:	$3$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			547.2
Character	$\chi$	$=$	966.547
Dual form			966.2.q.f.883.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.0353399 - 0.245794i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})$	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.0353399 - 0.245794i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(0.103157 - 0.225881i) q^{10} +(4.12455 - 1.21108i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(2.80676 - 6.14595i) q^{13} +(-0.142315 - 0.989821i) q^{14} +(0.162616 + 0.187669i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.291520 - 0.187349i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-6.79790 - 4.36875i) q^{19} +(0.162616 - 0.187669i) q^{20} +(0.959493 + 0.281733i) q^{21} +4.29868 q^{22} +(3.55133 + 3.22305i) q^{23} -1.00000 q^{24} +(4.73830 + 1.39129i) q^{25} +(4.42458 - 5.10624i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.142315 - 0.989821i) q^{28} +(-3.49024 + 2.24304i) q^{29} +(0.103157 + 0.225881i) q^{30} +(6.27650 + 7.24347i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-1.78574 + 3.91022i) q^{33} +(0.332494 - 0.0976290i) q^{34} +(-0.238263 + 0.0699603i) q^{35} +(0.415415 - 0.909632i) q^{36} +(0.179966 + 1.25169i) q^{37} +(-5.29172 - 6.10697i) q^{38} +(2.80676 + 6.14595i) q^{39} +(0.208901 - 0.134253i) q^{40} +(1.04512 - 7.26895i) q^{41} +(0.841254 + 0.540641i) q^{42} +(-2.48582 + 2.86879i) q^{43} +(4.12455 + 1.21108i) q^{44} -0.248322 q^{45} +(2.49944 + 4.09302i) q^{46} +10.3083 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(4.15439 + 2.66987i) q^{50} +(-0.0493165 + 0.343003i) q^{51} +(5.68395 - 3.65285i) q^{52} +(-2.26734 - 4.96479i) q^{53} +(0.654861 + 0.755750i) q^{54} +(-0.151915 - 1.05659i) q^{55} +(0.415415 - 0.909632i) q^{56} +(7.75336 - 2.27659i) q^{57} +(-3.98079 + 1.16887i) q^{58} +(2.35191 - 5.14996i) q^{59} +(0.0353399 + 0.245794i) q^{60} +(7.90302 + 9.12057i) q^{61} +(3.98154 + 8.71835i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-1.41145 - 0.907083i) q^{65} +(-2.81504 + 3.24873i) q^{66} +(-6.12812 - 1.79938i) q^{67} +0.346531 q^{68} +(-4.76145 + 0.573266i) q^{69} -0.248322 q^{70} +(-3.94238 - 1.15759i) q^{71} +(0.654861 - 0.755750i) q^{72} +(-11.1803 - 7.18515i) q^{73} +(-0.179966 + 1.25169i) q^{74} +(-4.15439 + 2.66987i) q^{75} +(-3.35684 - 7.35045i) q^{76} +(-2.81504 - 3.24873i) q^{77} +(0.961554 + 6.68776i) q^{78} +(-0.696110 + 1.52427i) q^{79} +(0.238263 - 0.0699603i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(3.05068 - 6.68006i) q^{82} +(0.128781 + 0.895694i) q^{83} +(0.654861 + 0.755750i) q^{84} +(-0.0357469 - 0.0782748i) q^{85} +(-3.19335 + 2.05224i) q^{86} +(0.590443 - 4.10662i) q^{87} +(3.61628 + 2.32404i) q^{88} +(-2.87756 + 3.32088i) q^{89} +(-0.238263 - 0.0699603i) q^{90} -6.75653 q^{91} +(1.24506 + 4.63140i) q^{92} -9.58448 q^{93} +(9.89077 + 2.90419i) q^{94} +(-1.31405 + 1.51649i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(-1.21312 + 8.43740i) q^{97} +(-0.841254 + 0.540641i) q^{98} +(-1.78574 - 3.91022i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{6}{11}\right)$

Coefficient data

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

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

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

$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$3$	−0.654861	+	0.755750i	−0.378084	+	0.436332i
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.0353399	−	0.245794i	0.0158045	−	0.109922i	−0.980392	−	0.197057i	$-0.936862\pi$
$5$	0.0353399	−	0.245794i	0.0158045	−	0.109922i	0.996197	+	0.0871340i	$0.0277708\pi$
$6$	−0.841254	+	0.540641i	−0.343440	+	0.220716i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$7$	−0.415415	−	0.909632i	−0.157012	−	0.343809i
$8$	0.654861	+	0.755750i	0.231528	+	0.267198i
$9$	−0.142315	−	0.989821i	−0.0474383	−	0.329940i
$10$	0.103157	−	0.225881i	0.0326210	−	0.0714299i
$11$	4.12455	−	1.21108i	1.24360	−	0.365154i	0.407233	−	0.913324i	$-0.366494\pi$
$11$	4.12455	−	1.21108i	1.24360	−	0.365154i	0.836367	+	0.548170i	$0.184676\pi$
$12$	−0.959493	+	0.281733i	−0.276982	+	0.0813292i
$13$	2.80676	−	6.14595i	0.778456	−	1.70458i	0.0713737	−	0.997450i	$-0.477262\pi$
$13$	2.80676	−	6.14595i	0.778456	−	1.70458i	0.707082	−	0.707131i	$-0.250011\pi$
$14$	−0.142315	−	0.989821i	−0.0380352	−	0.264541i
$15$	0.162616	+	0.187669i	0.0419873	+	0.0484559i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	0.291520	−	0.187349i	0.0707040	−	0.0454387i	−0.504811	−	0.863230i	$-0.668438\pi$
$17$	0.291520	−	0.187349i	0.0707040	−	0.0454387i	0.575515	+	0.817791i	$0.304802\pi$
$18$	0.142315	−	0.989821i	0.0335439	−	0.233303i
$19$	−6.79790	−	4.36875i	−1.55955	−	1.00226i	−0.982656	−	0.185437i	$-0.940630\pi$
$19$	−6.79790	−	4.36875i	−1.55955	−	1.00226i	−0.576890	−	0.816822i	$-0.695734\pi$
$20$	0.162616	−	0.187669i	0.0363621	−	0.0419641i
$21$	0.959493	+	0.281733i	0.209379	+	0.0614791i
$22$	4.29868			0.916482
$23$	3.55133	+	3.22305i	0.740503	+	0.672053i
$23$	3.55133	+	3.22305i	0.740503	+	0.672053i
$24$	−1.00000			−0.204124
$25$	4.73830	+	1.39129i	0.947660	+	0.278258i
$26$	4.42458	−	5.10624i	0.867732	−	1.00142i
$27$	0.841254	+	0.540641i	0.161899	+	0.104046i
$28$	0.142315	−	0.989821i	0.0268950	−	0.187059i
$29$	−3.49024	+	2.24304i	−0.648120	+	0.416522i	−0.822979	−	0.568072i	$-0.807690\pi$
$29$	−3.49024	+	2.24304i	−0.648120	+	0.416522i	0.174858	+	0.984594i	$0.444053\pi$
$30$	0.103157	+	0.225881i	0.0188337	+	0.0412401i
$31$	6.27650	+	7.24347i	1.12729	+	1.30097i	0.948393	+	0.317098i	$0.102708\pi$
$31$	6.27650	+	7.24347i	1.12729	+	1.30097i	0.178900	+	0.983867i	$0.442746\pi$
$32$	0.142315	+	0.989821i	0.0251579	+	0.174977i
$33$	−1.78574	+	3.91022i	−0.310857	+	0.680681i
$34$	0.332494	−	0.0976290i	0.0570222	−	0.0167432i
$35$	−0.238263	+	0.0699603i	−0.0402738	+	0.0118254i
$36$	0.415415	−	0.909632i	0.0692358	−	0.151605i
$37$	0.179966	+	1.25169i	0.0295863	+	0.205777i	0.999253	−	0.0386554i	$-0.0123075\pi$
$37$	0.179966	+	1.25169i	0.0295863	+	0.205777i	−0.969666	+	0.244432i	$0.921398\pi$
$38$	−5.29172	−	6.10697i	−0.858431	−	0.990682i
$39$	2.80676	+	6.14595i	0.449442	+	0.984140i
$40$	0.208901	−	0.134253i	0.0330302	−	0.0212272i
$41$	1.04512	−	7.26895i	0.163220	−	1.13522i	−0.729294	−	0.684200i	$-0.760151\pi$
$41$	1.04512	−	7.26895i	0.163220	−	1.13522i	0.892514	−	0.451019i	$-0.148939\pi$
$42$	0.841254	+	0.540641i	0.129808	+	0.0834227i
$43$	−2.48582	+	2.86879i	−0.379084	+	0.437486i	−0.912943	−	0.408088i	$-0.866196\pi$
$43$	−2.48582	+	2.86879i	−0.379084	+	0.437486i	0.533859	+	0.845573i	$0.320741\pi$
$44$	4.12455	+	1.21108i	0.621800	+	0.182577i
$45$	−0.248322			−0.0370176
$46$	2.49944	+	4.09302i	0.368522	+	0.603483i
$47$	10.3083			1.50362			0.751812	−	0.659378i	$-0.229180\pi$
$47$	10.3083			1.50362			0.751812	+	0.659378i	$0.229180\pi$
$48$	−0.959493	−	0.281733i	−0.138491	−	0.0406646i
$49$	−0.654861	+	0.755750i	−0.0935515	+	0.107964i
$50$	4.15439	+	2.66987i	0.587520	+	0.377576i
$51$	−0.0493165	+	0.343003i	−0.00690568	+	0.0480301i
$52$	5.68395	−	3.65285i	0.788222	−	0.506560i
$53$	−2.26734	−	4.96479i	−0.311443	−	0.681966i	0.687582	−	0.726107i	$-0.258672\pi$
$53$	−2.26734	−	4.96479i	−0.311443	−	0.681966i	−0.999025	+	0.0441410i	$0.985945\pi$
$54$	0.654861	+	0.755750i	0.0891153	+	0.102844i
$55$	−0.151915	−	1.05659i	−0.0204842	−	0.142471i
$56$	0.415415	−	0.909632i	0.0555122	−	0.121555i
$57$	7.75336	−	2.27659i	1.02696	−	0.301542i
$58$	−3.98079	+	1.16887i	−0.522704	+	0.153480i
$59$	2.35191	−	5.14996i	0.306192	−	0.670468i	−0.692509	−	0.721409i	$-0.743495\pi$
$59$	2.35191	−	5.14996i	0.306192	−	0.670468i	0.998702	+	0.0509412i	$0.0162221\pi$
$60$	0.0353399	+	0.245794i	0.00456236	+	0.0317319i
$61$	7.90302	+	9.12057i	1.01188	+	1.16777i	0.985768	+	0.168110i	$0.0537665\pi$
$61$	7.90302	+	9.12057i	1.01188	+	1.16777i	0.0261097	+	0.999659i	$0.491688\pi$
$62$	3.98154	+	8.71835i	0.505656	+	1.10723i
$63$	−0.841254	+	0.540641i	−0.105988	+	0.0681143i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−1.41145	−	0.907083i	−0.175069	−	0.112510i
$66$	−2.81504	+	3.24873i	−0.346507	+	0.399890i
$67$	−6.12812	−	1.79938i	−0.748669	−	0.219829i	−0.114928	−	0.993374i	$-0.536664\pi$
$67$	−6.12812	−	1.79938i	−0.748669	−	0.219829i	−0.633742	+	0.773545i	$0.718482\pi$
$68$	0.346531			0.0420230
$69$	−4.76145	+	0.573266i	−0.573211	+	0.0690131i
$70$	−0.248322			−0.0296801
$71$	−3.94238	−	1.15759i	−0.467875	−	0.137380i	0.0392931	−	0.999228i	$-0.487489\pi$
$71$	−3.94238	−	1.15759i	−0.467875	−	0.137380i	−0.507168	+	0.861847i	$0.669308\pi$
$72$	0.654861	−	0.755750i	0.0771761	−	0.0890659i
$73$	−11.1803	−	7.18515i	−1.30856	−	0.840958i	−0.314441	−	0.949277i	$-0.601817\pi$
$73$	−11.1803	−	7.18515i	−1.30856	−	0.840958i	−0.994116	+	0.108319i	$0.965453\pi$
$74$	−0.179966	+	1.25169i	−0.0209207	+	0.145506i
$75$	−4.15439	+	2.66987i	−0.479708	+	0.308290i
$76$	−3.35684	−	7.35045i	−0.385056	−	0.843154i
$77$	−2.81504	−	3.24873i	−0.320803	−	0.370227i
$78$	0.961554	+	6.68776i	0.108875	+	0.757239i
$79$	−0.696110	+	1.52427i	−0.0783185	+	0.171494i	−0.944741	−	0.327818i	$-0.893687\pi$
$79$	−0.696110	+	1.52427i	−0.0783185	+	0.171494i	0.866422	+	0.499312i	$0.166414\pi$
$80$	0.238263	−	0.0699603i	0.0266386	−	0.00782180i
$81$	−0.959493	+	0.281733i	−0.106610	+	0.0313036i
$82$	3.05068	−	6.68006i	0.336892	−	0.737690i
$83$	0.128781	+	0.895694i	0.0141356	+	0.0983152i	0.995668	−	0.0929816i	$-0.0296398\pi$
$83$	0.128781	+	0.895694i	0.0141356	+	0.0983152i	−0.981532	+	0.191297i	$0.938731\pi$
$84$	0.654861	+	0.755750i	0.0714512	+	0.0824590i
$85$	−0.0357469	−	0.0782748i	−0.00387730	−	0.00849009i
$86$	−3.19335	+	2.05224i	−0.344348	+	0.221299i
$87$	0.590443	−	4.10662i	0.0633021	−	0.440276i
$88$	3.61628	+	2.32404i	0.385497	+	0.247744i
$89$	−2.87756	+	3.32088i	−0.305021	+	0.352013i	−0.887479	−	0.460848i	$-0.847545\pi$
$89$	−2.87756	+	3.32088i	−0.305021	+	0.352013i	0.582458	+	0.812861i	$0.302091\pi$
$90$	−0.238263	−	0.0699603i	−0.0251151	−	0.00737446i
$91$	−6.75653			−0.708277
$92$	1.24506	+	4.63140i	0.129806	+	0.482857i
$93$	−9.58448			−0.993864
$94$	9.89077	+	2.90419i	1.02015	+	0.299544i
$95$	−1.31405	+	1.51649i	−0.134819	+	0.155589i
$96$	−0.841254	−	0.540641i	−0.0858601	−	0.0551789i
$97$	−1.21312	+	8.43740i	−0.123173	+	0.856689i	0.830752	+	0.556643i	$0.187911\pi$
$97$	−1.21312	+	8.43740i	−0.123173	+	0.856689i	−0.953925	+	0.300045i	$0.902998\pi$
$98$	−0.841254	+	0.540641i	−0.0849794	+	0.0546130i
$99$	−1.78574	−	3.91022i	−0.179473	−	0.392992i
$100$	3.23392	+	3.73215i	0.323392	+	0.373215i
$101$	−2.57102	−	17.8818i	−0.255826	−	1.77931i	−0.561805	−	0.827269i	$-0.689893\pi$
$101$	−2.57102	−	17.8818i	−0.255826	−	1.77931i	0.305980	−	0.952038i	$-0.401016\pi$
$102$	−0.143954	+	0.315215i	−0.0142536	+	0.0312110i
$103$	−11.7526	+	3.45089i	−1.15802	+	0.340026i	−0.803664	−	0.595083i	$-0.797119\pi$
$103$	−11.7526	+	3.45089i	−1.15802	+	0.340026i	−0.354359	+	0.935110i	$0.615301\pi$
$104$	6.48284	−	1.90353i	0.635695	−	0.186657i
$105$	0.103157	−	0.225881i	0.0100670	−	0.0220438i
$106$	−0.776757	−	5.40246i	−0.0754453	−	0.524733i
$107$	7.98407	+	9.21411i	0.771849	+	0.890761i	0.996493	−	0.0836796i	$-0.0266672\pi$
$107$	7.98407	+	9.21411i	0.771849	+	0.890761i	−0.224644	+	0.974441i	$0.572122\pi$
$108$	0.415415	+	0.909632i	0.0399733	+	0.0875294i
$109$	3.10737	−	1.99699i	0.297632	−	0.191277i	−0.383298	−	0.923625i	$-0.625212\pi$
$109$	3.10737	−	1.99699i	0.297632	−	0.191277i	0.680931	+	0.732348i	$0.261576\pi$
$110$	0.151915	−	1.05659i	0.0144845	−	0.100742i
$111$	−1.06382	−	0.683675i	−0.100973	−	0.0648916i
$112$	0.654861	−	0.755750i	0.0618785	−	0.0714116i
$113$	13.4036	+	3.93565i	1.26090	+	0.370235i	0.842831	−	0.538179i	$-0.180888\pi$
$113$	13.4036	+	3.93565i	1.26090	+	0.370235i	0.418073	+	0.908414i	$0.362706\pi$
$114$	8.08068			0.756825
$115$	0.917710	−	0.758994i	0.0855769	−	0.0707765i
$116$	−4.14885			−0.385211
$117$	−6.48284	−	1.90353i	−0.599339	−	0.175982i
$118$	3.70755	−	4.27874i	0.341308	−	0.393890i
$119$	−0.291520	−	0.187349i	−0.0267236	−	0.0171742i
$120$	−0.0353399	+	0.245794i	−0.00322607	+	0.0224378i
$121$	6.29144	−	4.04326i	0.571949	−	0.367569i
$122$	5.01333	+	10.9777i	0.453886	+	0.993871i
$123$	4.80910	+	5.55000i	0.433622	+	0.500426i
$124$	1.36401	+	9.48692i	0.122492	+	0.851951i
$125$	1.02520	−	2.24488i	0.0916971	−	0.200789i
$126$	−0.959493	+	0.281733i	−0.0854784	+	0.0250987i
$127$	−13.7900	+	4.04912i	−1.22367	+	0.359301i	−0.828856	−	0.559462i	$-0.811008\pi$
$127$	−13.7900	+	4.04912i	−1.22367	+	0.359301i	−0.394810	+	0.918763i	$0.629190\pi$
$128$	−0.415415	+	0.909632i	−0.0367178	+	0.0804009i
$129$	−0.540220	−	3.75731i	−0.0475637	−	0.330813i
$130$	−1.09872	−	1.26799i	−0.0963641	−	0.111210i
$131$	1.31319	+	2.87549i	0.114734	+	0.251232i	0.958284	−	0.285819i	$-0.0922655\pi$
$131$	1.31319	+	2.87549i	0.114734	+	0.251232i	−0.843550	+	0.537051i	$0.819538\pi$
$132$	−3.61628	+	2.32404i	−0.314757	+	0.202282i
$133$	−1.15000	+	7.99843i	−0.0997177	+	0.693552i
$134$	−5.37295	−	3.45298i	−0.464152	−	0.298292i
$135$	0.162616	−	0.187669i	0.0139958	−	0.0161520i
$136$	0.332494	+	0.0976290i	0.0285111	+	0.00837161i
$137$	0.215785			0.0184357			0.00921786	−	0.999958i	$-0.497066\pi$
$137$	0.215785			0.0184357			0.00921786	+	0.999958i	$0.497066\pi$
$138$	−4.73008	−	0.791410i	−0.402651	−	0.0673693i
$139$	−1.44970			−0.122962			−0.0614810	−	0.998108i	$-0.519582\pi$
$139$	−1.44970			−0.122962			−0.0614810	+	0.998108i	$0.519582\pi$
$140$	−0.238263	−	0.0699603i	−0.0201369	−	0.00591272i
$141$	−6.75052	+	7.79051i	−0.568496	+	0.656079i
$142$	−3.45656	−	2.22140i	−0.290068	−	0.186415i
$143$	4.13341	−	28.7485i	0.345653	−	2.40407i
$144$	0.841254	−	0.540641i	0.0701045	−	0.0450534i
$145$	0.427981	+	0.937148i	0.0355419	+	0.0778259i
$146$	−8.70314	−	10.0440i	−0.720277	−	0.831244i
$147$	−0.142315	−	0.989821i	−0.0117379	−	0.0816391i
$148$	−0.525319	+	1.15029i	−0.0431809	+	0.0945531i
$149$	−6.36386	+	1.86860i	−0.521348	+	0.153082i	−0.531810	−	0.846864i	$-0.678488\pi$
$149$	−6.36386	+	1.86860i	−0.521348	+	0.153082i	0.0104620	+	0.999945i	$0.496670\pi$
$150$	−4.73830	+	1.39129i	−0.386880	+	0.113598i
$151$	−1.12340	+	2.45990i	−0.0914210	+	0.200184i	−0.949819	−	0.312800i	$-0.898733\pi$
$151$	−1.12340	+	2.45990i	−0.0914210	+	0.200184i	0.858398	+	0.512985i	$0.171460\pi$
$152$	−1.15000	−	7.99843i	−0.0932774	−	0.648759i
$153$	−0.226929	−	0.261890i	−0.0183461	−	0.0211726i
$154$	−1.78574	−	3.91022i	−0.143899	−	0.315094i
$155$	2.00221	−	1.28674i	0.160822	−	0.103354i
$156$	−0.961554	+	6.68776i	−0.0769859	+	0.535449i
$157$	−16.9785	−	10.9114i	−1.35504	−	0.870828i	−0.357038	−	0.934090i	$-0.616213\pi$
$157$	−16.9785	−	10.9114i	−1.35504	−	0.870828i	−0.997997	+	0.0632615i	$0.979850\pi$
$158$	−1.09735	+	1.26641i	−0.0873004	+	0.100750i
$159$	5.23693	+	1.53770i	0.415315	+	0.121948i
$160$	0.248322			0.0196316
$161$	1.45651	−	4.56931i	0.114789	−	0.360112i
$162$	−1.00000			−0.0785674
$163$	16.6506	+	4.88906i	1.30418	+	0.382941i	0.858758	−	0.512381i	$-0.171236\pi$
$163$	16.6506	+	4.88906i	1.30418	+	0.382941i	0.445419	+	0.895322i	$0.353055\pi$
$164$	4.80910	−	5.55000i	0.375528	−	0.433382i
$165$	0.898001	+	0.577110i	0.0699093	+	0.0449280i
$166$	−0.128781	+	0.895694i	−0.00999537	+	0.0695193i
$167$	6.67137	−	4.28743i	0.516246	−	0.331771i	−0.256439	−	0.966560i	$-0.582549\pi$
$167$	6.67137	−	4.28743i	0.516246	−	0.331771i	0.772686	+	0.634789i	$0.218913\pi$
$168$	0.415415	+	0.909632i	0.0320500	+	0.0701796i
$169$	−21.3816	−	24.6757i	−1.64474	−	1.89813i
$170$	−0.0122463	−	0.0851752i	−0.000939252	−	0.00653264i
$171$	−3.35684	+	7.35045i	−0.256704	+	0.562103i
$172$	−3.64219	+	1.06944i	−0.277714	+	0.0815442i
$173$	−22.0094	+	6.46256i	−1.67335	+	0.491339i	−0.974586	−	0.224015i	$-0.928083\pi$
$173$	−22.0094	+	6.46256i	−1.67335	+	0.491339i	−0.698762	+	0.715355i	$0.746265\pi$
$174$	1.72350	−	3.77393i	0.130658	−	0.286101i
$175$	−0.702799	−	4.88807i	−0.0531266	−	0.369503i
$176$	2.81504	+	3.24873i	0.212191	+	0.244882i
$177$	2.35191	+	5.14996i	0.176780	+	0.387095i
$178$	−3.69660	+	2.37566i	−0.277072	+	0.178063i
$179$	−2.79098	+	19.4117i	−0.208607	+	1.45090i	0.569099	+	0.822269i	$0.307292\pi$
$179$	−2.79098	+	19.4117i	−0.208607	+	1.45090i	−0.777706	+	0.628628i	$0.783617\pi$
$180$	−0.208901	−	0.134253i	−0.0155706	−	0.0100066i
$181$	−1.87334	+	2.16195i	−0.139244	+	0.160696i	−0.821088	−	0.570801i	$-0.806633\pi$
$181$	−1.87334	+	2.16195i	−0.139244	+	0.160696i	0.681844	+	0.731497i	$0.261178\pi$
$182$	−6.48284	−	1.90353i	−0.480540	−	0.141099i
$183$	−12.0682			−0.892110
$184$	−0.110193	+	4.79457i	−0.00812357	+	0.353460i
$185$	0.314019			0.0230871
$186$	−9.19624	−	2.70026i	−0.674301	−	0.197993i
$187$	0.975497	−	1.12578i	0.0713354	−	0.0823254i
$188$	8.67191	+	5.57310i	0.632464	+	0.406460i
$189$	0.142315	−	0.989821i	0.0103519	−	0.0719989i
$190$	−1.68807	+	1.08485i	−0.122465	+	0.0787036i
$191$	6.19087	+	13.5561i	0.447956	+	0.980887i	0.990069	+	0.140581i	$0.0448971\pi$
$191$	6.19087	+	13.5561i	0.447956	+	0.980887i	−0.542113	+	0.840305i	$0.682376\pi$
$192$	−0.654861	−	0.755750i	−0.0472605	−	0.0545415i
$193$	0.837676	+	5.82616i	0.0602972	+	0.419376i	0.997504	+	0.0706035i	$0.0224925\pi$
$193$	0.837676	+	5.82616i	0.0602972	+	0.419376i	−0.937207	+	0.348773i	$0.886598\pi$
$194$	−3.54107	+	7.75386i	−0.254234	+	0.556694i
$195$	1.60983	−	0.472689i	0.115282	−	0.0338499i
$196$	−0.959493	+	0.281733i	−0.0685352	+	0.0201238i
$197$	9.24210	−	20.2374i	0.658472	−	1.44185i	−0.225467	−	0.974251i	$-0.572391\pi$
$197$	9.24210	−	20.2374i	0.658472	−	1.44185i	0.883939	−	0.467602i	$-0.154882\pi$
$198$	−0.611766	−	4.25493i	−0.0434763	−	0.302384i
$199$	−0.442161	−	0.510281i	−0.0313439	−	0.0361728i	0.739861	−	0.672760i	$-0.234891\pi$
$199$	−0.442161	−	0.510281i	−0.0313439	−	0.0361728i	−0.771205	+	0.636587i	$0.780346\pi$
$200$	2.05146	+	4.49207i	0.145060	+	0.317637i
$201$	5.37295	−	3.45298i	0.378978	−	0.243555i
$202$	2.57102	−	17.8818i	0.180896	−	1.25816i
$203$	3.49024	+	2.24304i	0.244967	+	0.157430i
$204$	−0.226929	+	0.261890i	−0.0158882	+	0.0183360i
$205$	−1.74973	−	0.513767i	−0.122207	−	0.0358831i
$206$	−12.2488			−0.853415
$207$	2.68484	−	3.97387i	0.186609	−	0.276203i
$208$	6.75653			0.468481
$209$	−33.3292	−	9.78634i	−2.30543	−	0.676935i
$210$	0.162616	−	0.187669i	0.0112216	−	0.0129504i
$211$	8.99813	+	5.78275i	0.619457	+	0.398101i	0.812393	−	0.583111i	$-0.198165\pi$
$211$	8.99813	+	5.78275i	0.619457	+	0.398101i	−0.192936	+	0.981211i	$0.561801\pi$
$212$	0.776757	−	5.40246i	0.0533479	−	0.371043i
$213$	3.45656	−	2.22140i	0.236840	−	0.152208i
$214$	5.06474	+	11.0902i	0.346219	+	0.758113i
$215$	0.617282	+	0.712382i	0.0420983	+	0.0485840i
$216$	0.142315	+	0.989821i	0.00968330	+	0.0673488i
$217$	3.98154	−	8.71835i	0.270284	−	0.591840i
$218$	3.54412	−	1.04065i	0.240038	−	0.0704815i
$219$	12.7517	−	3.74424i	0.861682	−	0.253013i
$220$	0.443437	−	0.970992i	0.0298965	−	0.0654642i
$221$	−0.333208	−	2.31751i	−0.0224140	−	0.155893i
$222$	−0.828113	−	0.955694i	−0.0555793	−	0.0641420i
$223$	2.00740	+	4.39559i	0.134425	+	0.294350i	0.964859	−	0.262766i	$-0.0846349\pi$
$223$	2.00740	+	4.39559i	0.134425	+	0.294350i	−0.830434	+	0.557117i	$0.811908\pi$
$224$	0.841254	−	0.540641i	0.0562086	−	0.0361231i
$225$	0.702799	−	4.88807i	0.0468532	−	0.325871i
$226$	11.7518	+	7.55245i	0.781721	+	0.502382i
$227$	−10.2002	+	11.7717i	−0.677014	+	0.781316i	−0.985457	−	0.169927i	$-0.945647\pi$
$227$	−10.2002	+	11.7717i	−0.677014	+	0.781316i	0.308443	+	0.951243i	$0.400192\pi$
$228$	7.75336	+	2.27659i	0.513479	+	0.150771i
$229$	−27.8921			−1.84316			−0.921581	−	0.388186i	$-0.873102\pi$
$229$	−27.8921			−1.84316			−0.921581	+	0.388186i	$0.873102\pi$
$230$	1.09437	−	0.469700i	0.0721606	−	0.0309711i
$231$	4.29868			0.282832
$232$	−3.98079	−	1.16887i	−0.261352	−	0.0767398i
$233$	6.73676	−	7.77463i	0.441340	−	0.509333i	−0.490880	−	0.871227i	$-0.663324\pi$
$233$	6.73676	−	7.77463i	0.441340	−	0.509333i	0.932219	+	0.361894i	$0.117870\pi$
$234$	−5.68395	−	3.65285i	−0.371572	−	0.238795i
$235$	0.364295	−	2.53373i	0.0237640	−	0.165282i
$236$	4.76283	−	3.06088i	0.310034	−	0.199247i
$237$	−0.696110	−	1.52427i	−0.0452172	−	0.0990119i
$238$	−0.226929	−	0.261890i	−0.0147096	−	0.0169758i
$239$	−0.906617	−	6.30566i	−0.0586442	−	0.407879i	−0.997906	−	0.0646782i	$-0.979398\pi$
$239$	−0.906617	−	6.30566i	−0.0586442	−	0.407879i	0.939262	−	0.343201i	$-0.111511\pi$
$240$	−0.103157	+	0.225881i	−0.00665873	+	0.0145806i
$241$	−28.8212	+	8.46268i	−1.85654	+	0.545129i	−0.856982	+	0.515346i	$0.827663\pi$
$241$	−28.8212	+	8.46268i	−1.85654	+	0.545129i	−0.999556	+	0.0297829i	$0.990518\pi$
$242$	7.17571	−	2.10698i	0.461272	−	0.135442i
$243$	0.415415	−	0.909632i	0.0266489	−	0.0583529i
$244$	1.71749	+	11.9454i	0.109951	+	0.764726i
$245$	0.162616	+	0.187669i	0.0103892	+	0.0119897i
$246$	3.05068	+	6.68006i	0.194504	+	0.425905i
$247$	−45.9302	+	29.5176i	−2.92247	+	1.87816i
$248$	−1.36401	+	9.48692i	−0.0866150	+	0.602420i
$249$	−0.761254	−	0.489228i	−0.0482425	−	0.0310036i
$250$	1.61613	−	1.86512i	0.102213	−	0.117960i
$251$	−9.42887	−	2.76857i	−0.595145	−	0.174750i	−0.0297314	−	0.999558i	$-0.509465\pi$
$251$	−9.42887	−	2.76857i	−0.595145	−	0.174750i	−0.565413	+	0.824808i	$0.691283\pi$
$252$	−1.00000			−0.0629941
$253$	18.5510	+	8.99271i	1.16629	+	0.565367i
$254$	−14.3722			−0.901792
$255$	0.0825654	+	0.0242434i	0.00517045	+	0.00151818i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	18.4991	+	11.8887i	1.15394	+	0.741594i	0.970420	−	0.241422i	$-0.0776138\pi$
$257$	18.4991	+	11.8887i	1.15394	+	0.741594i	0.183522	+	0.983016i	$0.441250\pi$
$258$	0.540220	−	3.75731i	0.0336326	−	0.233920i
$259$	1.06382	−	0.683675i	0.0661025	−	0.0424815i
$260$	−0.696980	−	1.52617i	−0.0432249	−	0.0946493i
$261$	2.71692	+	3.13549i	0.168173	+	0.194082i
$262$	0.449879	+	3.12898i	0.0277936	+	0.193309i
$263$	0.855136	−	1.87249i	0.0527299	−	0.115462i	−0.881433	−	0.472309i	$-0.843421\pi$
$263$	0.855136	−	1.87249i	0.0527299	−	0.115462i	0.934163	+	0.356846i	$0.116148\pi$
$264$	−4.12455	+	1.21108i	−0.253849	+	0.0745367i
$265$	−1.30044	+	0.381844i	−0.0798855	+	0.0234565i
$266$	−3.35684	+	7.35045i	−0.205821	+	0.450685i
$267$	−0.625354	−	4.34943i	−0.0382711	−	0.266181i
$268$	−4.18249	−	4.82685i	−0.255486	−	0.294847i
$269$	1.15498	+	2.52905i	0.0704203	+	0.154199i	0.941569	−	0.336821i	$-0.109352\pi$
$269$	1.15498	+	2.52905i	0.0704203	+	0.154199i	−0.871149	+	0.491020i	$0.836624\pi$
$270$	0.208901	−	0.134253i	0.0127133	−	0.00817037i
$271$	−0.162430	+	1.12973i	−0.00986694	+	0.0686261i	−0.994160	−	0.107916i	$-0.965582\pi$
$271$	−0.162430	+	1.12973i	−0.00986694	+	0.0686261i	0.984293	+	0.176542i	$0.0564912\pi$
$272$	0.291520	+	0.187349i	0.0176760	+	0.0113597i
$273$	4.42458	−	5.10624i	0.267788	−	0.309044i
$274$	0.207044	+	0.0607936i	0.0125080	+	0.00367267i
$275$	21.2283			1.28012
$276$	−4.31551	−	2.09197i	−0.259763	−	0.125922i
$277$	12.0368			0.723223			0.361612	−	0.932329i	$-0.382227\pi$
$277$	12.0368			0.723223			0.361612	+	0.932329i	$0.382227\pi$
$278$	−1.39098	−	0.408428i	−0.0834253	−	0.0244959i
$279$	6.27650	−	7.24347i	0.375764	−	0.433655i
$280$	−0.208901	−	0.134253i	−0.0124843	−	0.00802314i
$281$	2.22579	−	15.4807i	0.132780	−	0.923502i	−0.809129	−	0.587631i	$-0.800061\pi$
$281$	2.22579	−	15.4807i	0.132780	−	0.923502i	0.941908	−	0.335870i	$-0.109030\pi$
$282$	−8.67191	+	5.57310i	−0.516405	+	0.331873i
$283$	4.83630	+	10.5900i	0.287488	+	0.629511i	0.997184	−	0.0749973i	$-0.0238948\pi$
$283$	4.83630	+	10.5900i	0.287488	+	0.629511i	−0.709696	+	0.704508i	$0.751168\pi$
$284$	−2.69070	−	3.10524i	−0.159664	−	0.184262i
$285$	−0.285570	−	1.98618i	−0.0169157	−	0.117651i
$286$	12.0654	−	26.4195i	0.713441	−	1.56222i
$287$	−7.04623	+	2.06896i	−0.415926	+	0.122127i
$288$	0.959493	−	0.281733i	0.0565387	−	0.0166013i
$289$	−7.01217	+	15.3545i	−0.412481	+	0.903207i
$290$	0.146620	+	1.01976i	0.00860981	+	0.0598826i
$291$	−5.58214	−	6.44214i	−0.327231	−	0.377645i
$292$	−5.52089	−	12.0891i	−0.323086	−	0.707459i
$293$	14.8659	−	9.55371i	0.868473	−	0.558134i	−0.0288123	−	0.999585i	$-0.509173\pi$
$293$	14.8659	−	9.55371i	0.868473	−	0.558134i	0.897285	+	0.441451i	$0.145536\pi$
$294$	0.142315	−	0.989821i	0.00829997	−	0.0577276i
$295$	−1.18271	−	0.760084i	−0.0688603	−	0.0442538i
$296$	−0.828113	+	0.955694i	−0.0481331	+	0.0555486i
$297$	4.12455	+	1.21108i	0.239331	+	0.0702739i
$298$	−6.63253			−0.384212
$299$	29.7765	−	12.7800i	1.72202	−	0.739084i
$300$	−4.93834			−0.285115
$301$	3.64219	+	1.06944i	0.209932	+	0.0616416i
$302$	−1.77093	+	2.04376i	−0.101906	+	0.117605i
$303$	15.1978	+	9.76706i	0.873093	+	0.561103i
$304$	1.15000	−	7.99843i	0.0659571	−	0.458742i
$305$	2.52107	−	1.62020i	0.144356	−	0.0927722i
$306$	−0.143954	−	0.315215i	−0.00822930	−	0.0180197i
$307$	22.1706	+	25.5863i	1.26535	+	1.46029i	0.827732	+	0.561124i	$0.189631\pi$
$307$	22.1706	+	25.5863i	1.26535	+	1.46029i	0.437614	+	0.899163i	$0.355824\pi$
$308$	−0.611766	−	4.25493i	−0.0348586	−	0.242447i
$309$	5.08834	−	11.1419i	0.289466	−	0.633841i
$310$	2.28363	−	0.670533i	0.129701	−	0.0380837i
$311$	−8.68999	+	2.55161i	−0.492764	+	0.144689i	−0.518668	−	0.854976i	$-0.673572\pi$
$311$	−8.68999	+	2.55161i	−0.492764	+	0.144689i	0.0259038	+	0.999664i	$0.491754\pi$
$312$	−2.80676	+	6.14595i	−0.158902	+	0.347946i
$313$	0.314290	+	2.18593i	0.0177647	+	0.123556i	0.996774	−	0.0802593i	$-0.0255748\pi$
$313$	0.314290	+	2.18593i	0.0177647	+	0.123556i	−0.979009	+	0.203815i	$0.934666\pi$
$314$	−13.2167	−	15.2529i	−0.745861	−	0.860769i
$315$	0.103157	+	0.225881i	0.00581221	+	0.0127270i
$316$	−1.40969	+	0.905951i	−0.0793011	+	0.0509637i
$317$	1.15314	−	8.02029i	0.0647670	−	0.450464i	−0.931472	−	0.363814i	$-0.881474\pi$
$317$	1.15314	−	8.02029i	0.0647670	−	0.450464i	0.996239	−	0.0866507i	$-0.0276164\pi$
$318$	4.59157	+	2.95083i	0.257483	+	0.165474i
$319$	−11.6792	+	13.4785i	−0.653908	+	0.754650i
$320$	0.238263	+	0.0699603i	0.0133193	+	0.00391090i
$321$	−12.1920			−0.680492
$322$	2.68484	−	3.97387i	0.149620	−	0.221455i
$323$	−2.80020			−0.155808
$324$	−0.959493	−	0.281733i	−0.0533052	−	0.0156518i
$325$	21.8501	−	25.2163i	1.21202	−	1.39875i
$326$	14.5987	+	9.38205i	0.808550	+	0.519624i
$327$	−0.525674	+	3.65614i	−0.0290698	+	0.202185i
$328$	6.17791	−	3.97030i	0.341118	−	0.219223i
$329$	−4.28223	−	9.37678i	−0.236087	−	0.516959i
$330$	0.699035	+	0.806729i	0.0384806	+	0.0444090i
$331$	0.620997	+	4.31913i	0.0341331	+	0.237401i	0.999745	−	0.0225874i	$-0.00719039\pi$
$331$	0.620997	+	4.31913i	0.0341331	+	0.237401i	−0.965612	+	0.259988i	$0.916281\pi$
$332$	−0.375911	+	0.823130i	−0.0206308	+	0.0451751i
$333$	1.21334	−	0.356269i	0.0664906	−	0.0195234i
$334$	7.60904	−	2.23422i	0.416348	−	0.122251i
$335$	−0.658844	+	1.44267i	−0.0359965	+	0.0788213i
$336$	0.142315	+	0.989821i	0.00776391	+	0.0539992i
$337$	−5.86259	−	6.76579i	−0.319355	−	0.368556i	0.573261	−	0.819373i	$-0.305678\pi$
$337$	−5.86259	−	6.76579i	−0.319355	−	0.368556i	−0.892616	+	0.450817i	$0.851133\pi$
$338$	−13.5636	−	29.7001i	−0.737761	−	1.61547i
$339$	−11.7518	+	7.55245i	−0.638273	+	0.410193i
$340$	0.0122463	−	0.0851752i	0.000664151	−	0.00461927i
$341$	34.6602	+	22.2747i	1.87695	+	1.20624i
$342$	−5.29172	+	6.10697i	−0.286144	+	0.330227i
$343$	0.959493	+	0.281733i	0.0518078	+	0.0152121i
$344$	−3.79595			−0.204664
$345$	−0.0273634	+	1.19059i	−0.00147320	+	0.0640995i
$346$	−22.9386			−1.23319
$347$	−8.85489	−	2.60003i	−0.475356	−	0.139577i	0.0352742	−	0.999378i	$-0.488770\pi$
$347$	−8.85489	−	2.60003i	−0.475356	−	0.139577i	−0.510630	+	0.859801i	$0.670588\pi$
$348$	2.71692	−	3.13549i	0.145642	−	0.168080i
$349$	3.29603	+	2.11823i	0.176432	+	0.113386i	0.625876	−	0.779922i	$-0.284742\pi$
$349$	3.29603	+	2.11823i	0.176432	+	0.113386i	−0.449444	+	0.893309i	$0.648378\pi$
$350$	0.702799	−	4.88807i	0.0375662	−	0.261278i
$351$	5.68395	−	3.65285i	0.303387	−	0.194975i
$352$	1.78574	+	3.91022i	0.0951801	+	0.208415i
$353$	19.2402	+	22.2043i	1.02405	+	1.18182i	0.983177	+	0.182653i	$0.0584686\pi$
$353$	19.2402	+	22.2043i	1.02405	+	1.18182i	0.0408734	+	0.999164i	$0.486986\pi$
$354$	0.805728	+	5.60396i	0.0428239	+	0.297847i
$355$	−0.423852	+	0.928106i	−0.0224957	+	0.0492587i
$356$	−4.21617	+	1.23798i	−0.223456	+	0.0656127i
$357$	0.332494	−	0.0976290i	0.0175974	−	0.00516707i
$358$	−8.14683	+	17.8391i	−0.430573	+	0.942824i
$359$	−5.08438	−	35.3627i	−0.268343	−	1.86637i	−0.464190	−	0.885735i	$-0.653655\pi$
$359$	−5.08438	−	35.3627i	−0.268343	−	1.86637i	0.195847	−	0.980634i	$-0.437254\pi$
$360$	−0.162616	−	0.187669i	−0.00857062	−	0.00989102i
$361$	19.2327	+	42.1136i	1.01224	+	2.21651i
$362$	−2.40654	+	1.54659i	−0.126485	+	0.0812871i
$363$	−1.06432	+	7.40253i	−0.0558625	+	0.388532i
$364$	−5.68395	−	3.65285i	−0.297920	−	0.191462i
$365$	−2.16118	+	2.49413i	−0.113121	+	0.130549i
$366$	−11.5794	−	3.40002i	−0.605265	−	0.177722i
$367$	9.16045			0.478171			0.239086	−	0.970998i	$-0.423152\pi$
$367$	9.16045			0.478171			0.239086	+	0.970998i	$0.423152\pi$
$368$	−1.45651	+	4.56931i	−0.0759261	+	0.238192i
$369$	−7.34370			−0.382298
$370$	0.301299	+	0.0884693i	0.0156638	+	0.00459930i
$371$	−3.57424	+	4.12489i	−0.185565	+	0.214154i
$372$	−8.06298	−	5.18176i	−0.418046	−	0.268662i
$373$	1.00885	−	7.01669i	0.0522361	−	0.363310i	−0.946892	−	0.321553i	$-0.895795\pi$
$373$	1.00885	−	7.01669i	0.0522361	−	0.363310i	0.999128	−	0.0417575i	$-0.0132957\pi$
$374$	1.25315	−	0.805352i	0.0647989	−	0.0416437i
$375$	1.02520	+	2.24488i	0.0529413	+	0.115925i
$376$	6.75052	+	7.79051i	0.348131	+	0.401765i
$377$	3.98935	+	27.7465i	0.205462	+	1.42902i
$378$	0.415415	−	0.909632i	0.0213666	−	0.0467864i
$379$	−16.1232	+	4.73419i	−0.828191	+	0.243179i	−0.668240	−	0.743946i	$-0.732952\pi$
$379$	−16.1232	+	4.73419i	−0.828191	+	0.243179i	−0.159952	+	0.987125i	$0.551134\pi$
$380$	−1.92533	+	0.565327i	−0.0987672	+	0.0290007i
$381$	5.97043	−	13.0734i	0.305874	−	0.669771i
$382$	2.12090	+	14.7512i	0.108515	+	0.754736i
$383$	23.4261	+	27.0352i	1.19702	+	1.38143i	0.905215	+	0.424953i	$0.139709\pi$
$383$	23.4261	+	27.0352i	1.19702	+	1.38143i	0.291802	+	0.956479i	$0.405745\pi$
$384$	−0.415415	−	0.909632i	−0.0211991	−	0.0464195i
$385$	−0.898001	+	0.577110i	−0.0457664	+	0.0294122i
$386$	−0.837676	+	5.82616i	−0.0426366	+	0.296544i
$387$	3.19335	+	2.05224i	0.162327	+	0.104321i
$388$	−5.58214	+	6.44214i	−0.283390	+	0.327050i
$389$	−32.2448	−	9.46794i	−1.63488	−	0.480043i	−0.669917	−	0.742436i	$-0.733670\pi$
$389$	−32.2448	−	9.46794i	−1.63488	−	0.480043i	−0.964961	+	0.262393i	$0.915488\pi$
$390$	1.67779			0.0849583
$391$	1.63912	+	0.274248i	0.0828938	+	0.0138693i
$392$	−1.00000			−0.0505076
$393$	−3.03310	−	0.890600i	−0.153000	−	0.0449248i
$394$	14.5693	−	16.8138i	0.733988	−	0.847068i
$395$	0.350056	+	0.224967i	0.0176132	+	0.0113193i
$396$	0.611766	−	4.25493i	0.0307424	−	0.213818i
$397$	−17.3441	+	11.1464i	−0.870477	+	0.559422i	−0.897899	−	0.440202i	$-0.854907\pi$
$397$	−17.3441	+	11.1464i	−0.870477	+	0.559422i	0.0274214	+	0.999624i	$0.491270\pi$
$398$	−0.280487	−	0.614182i	−0.0140596	−	0.0307861i
$399$	−5.29172	−	6.10697i	−0.264917	−	0.305731i
$400$	0.702799	+	4.88807i	0.0351399	+	0.244404i
$401$	−7.68234	+	16.8220i	−0.383638	+	0.840049i	0.615033	+	0.788501i	$0.289143\pi$
$401$	−7.68234	+	16.8220i	−0.383638	+	0.840049i	−0.998671	+	0.0515477i	$0.983585\pi$
$402$	6.12812	−	1.79938i	0.305643	−	0.0897449i
$403$	62.1347	−	18.2444i	3.09515	−	0.908817i
$404$	7.50476	−	16.4331i	0.373376	−	0.817579i
$405$	0.0353399	+	0.245794i	0.00175605	+	0.0122136i
$406$	2.71692	+	3.13549i	0.134838	+	0.155612i
$407$	2.25818	+	4.94472i	0.111934	+	0.245101i
$408$	−0.291520	+	0.187349i	−0.0144324	+	0.00927514i
$409$	1.45708	−	10.1342i	0.0720478	−	0.501103i	−0.921562	−	0.388232i	$-0.873086\pi$
$409$	1.45708	−	10.1342i	0.0720478	−	0.501103i	0.993610	−	0.112872i	$-0.0360049\pi$
$410$	−1.53411	−	0.985912i	−0.0757643	−	0.0486907i
$411$	−0.141309	+	0.163079i	−0.00697025	+	0.00804410i
$412$	−11.7526	−	3.45089i	−0.579011	−	0.170013i
$413$	−5.66159			−0.278588
$414$	3.69565	−	3.05649i	0.181631	−	0.150218i
$415$	0.224707			0.0110305
$416$	6.48284	+	1.90353i	0.317847	+	0.0933284i
$417$	0.949352	−	1.09561i	0.0464899	−	0.0536523i
$418$	−29.2220	−	18.7798i	−1.42930	−	0.918552i
$419$	2.92950	−	20.3751i	0.143115	−	0.995389i	−0.784040	−	0.620711i	$-0.786844\pi$
$419$	2.92950	−	20.3751i	0.143115	−	0.995389i	0.927155	−	0.374678i	$-0.122247\pi$
$420$	0.208901	−	0.134253i	0.0101933	−	0.00655087i
$421$	−4.61719	−	10.1102i	−0.225028	−	0.492743i	0.763118	−	0.646259i	$-0.223668\pi$
$421$	−4.61719	−	10.1102i	−0.225028	−	0.492743i	−0.988146	+	0.153516i	$0.950940\pi$
$422$	7.00445	+	8.08357i	0.340971	+	0.393502i
$423$	−1.46703	−	10.2034i	−0.0713293	−	0.496106i
$424$	2.26734	−	4.96479i	0.110112	−	0.241111i
$425$	1.64197	−	0.482125i	0.0796470	−	0.0233865i
$426$	3.94238	−	1.15759i	0.191009	−	0.0560853i
$427$	5.01333	−	10.9777i	0.242612	−	0.531246i
$428$	1.73510	+	12.0679i	0.0838694	+	0.583325i
$429$	19.0199	+	21.9501i	0.918288	+	1.05976i
$430$	0.391577	+	0.857434i	0.0188835	+	0.0413491i
$431$	−8.67499	+	5.57508i	−0.417860	+	0.268542i	−0.732632	−	0.680625i	$-0.761708\pi$
$431$	−8.67499	+	5.57508i	−0.417860	+	0.268542i	0.314772	+	0.949167i	$0.398072\pi$
$432$	−0.142315	+	0.989821i	−0.00684713	+	0.0476228i
$433$	−0.665106	−	0.427438i	−0.0319630	−	0.0205413i	0.524562	−	0.851372i	$-0.324229\pi$
$433$	−0.665106	−	0.427438i	−0.0319630	−	0.0205413i	−0.556525	+	0.830831i	$0.687866\pi$
$434$	6.27650	−	7.24347i	0.301282	−	0.347698i
$435$	−0.988517	−	0.290255i	−0.0473958	−	0.0139167i
$436$	3.69374			0.176898
$437$	−10.0609	−	37.4249i	−0.481278	−	1.79027i
$438$	13.2901			0.635024
$439$	4.27516	+	1.25530i	0.204042	+	0.0599122i	0.382157	−	0.924098i	$-0.375181\pi$
$439$	4.27516	+	1.25530i	0.204042	+	0.0599122i	−0.178114	+	0.984010i	$0.557000\pi$
$440$	0.699035	−	0.806729i	0.0333252	−	0.0384593i
$441$	0.841254	+	0.540641i	0.0400597	+	0.0257448i
$442$	0.333208	−	2.31751i	0.0158491	−	0.110233i
$443$	−8.12051	+	5.21874i	−0.385817	+	0.247950i	−0.719143	−	0.694862i	$-0.755465\pi$
$443$	−8.12051	+	5.21874i	−0.385817	+	0.247950i	0.333326	+	0.942812i	$0.391829\pi$
$444$	−0.525319	−	1.15029i	−0.0249305	−	0.0545903i
$445$	0.714561	+	0.824648i	0.0338734	+	0.0390920i
$446$	0.687704	+	4.78308i	0.0325637	+	0.226486i
$447$	2.75525	−	6.03316i	0.130319	−	0.285359i
$448$	0.959493	−	0.281733i	0.0453318	−	0.0133106i
$449$	24.5951	−	7.22178i	1.16072	−	0.340817i	0.356005	−	0.934484i	$-0.384138\pi$
$449$	24.5951	−	7.22178i	1.16072	−	0.340817i	0.804711	+	0.593667i	$0.202320\pi$
$450$	2.05146	−	4.49207i	0.0967067	−	0.211758i
$451$	−4.49263	−	31.2469i	−0.211549	−	1.47136i
$452$	9.14804	+	10.5574i	0.430288	+	0.496578i
$453$	−1.12340	−	2.45990i	−0.0527819	−	0.115576i
$454$	−13.1035	+	8.42113i	−0.614980	+	0.395223i
$455$	−0.238775	+	1.66071i	−0.0111939	+	0.0778555i
$456$	6.79790	+	4.36875i	0.318341	+	0.204585i
$457$	19.9728	−	23.0499i	0.934290	−	1.07823i	−0.0624897	−	0.998046i	$-0.519904\pi$
$457$	19.9728	−	23.0499i	0.934290	−	1.07823i	0.996780	−	0.0801831i	$-0.0255505\pi$
$458$	−26.7623	−	7.85811i	−1.25052	−	0.367186i
$459$	0.346531			0.0161747
$460$	1.18237	−	0.142354i	0.0551283	−	0.00663731i
$461$	−3.72067			−0.173289			−0.0866444	−	0.996239i	$-0.527614\pi$
$461$	−3.72067			−0.173289			−0.0866444	+	0.996239i	$0.527614\pi$
$462$	4.12455	+	1.21108i	0.191892	+	0.0563445i
$463$	−5.24595	+	6.05415i	−0.243800	+	0.281360i	−0.864441	−	0.502735i	$-0.832327\pi$
$463$	−5.24595	+	6.05415i	−0.243800	+	0.281360i	0.620641	+	0.784095i	$0.286873\pi$
$464$	−3.49024	−	2.24304i	−0.162030	−	0.104130i
$465$	−0.338714	+	2.35581i	−0.0157075	+	0.109248i
$466$	8.65424	−	5.56174i	0.400900	−	0.257643i
$467$	8.55049	+	18.7230i	0.395669	+	0.866395i	0.997691	+	0.0679154i	$0.0216348\pi$
$467$	8.55049	+	18.7230i	0.395669	+	0.866395i	−0.602022	+	0.798480i	$0.705638\pi$
$468$	−4.42458	−	5.10624i	−0.204526	−	0.236036i
$469$	0.908941	+	6.32182i	0.0419710	+	0.291915i
$470$	1.06337	−	2.32846i	0.0490497	−	0.107404i
$471$	19.3649	−	5.68605i	0.892288	−	0.261999i
$472$	5.43225	−	1.59505i	0.250040	−	0.0734183i
$473$	−6.77856	+	14.8430i	−0.311679	+	0.682481i
$474$	−0.238477	−	1.65864i	−0.0109536	−	0.0761839i
$475$	−26.1323	−	30.1583i	−1.19903	−	1.38376i
$476$	−0.143954	−	0.315215i	−0.00659812	−	0.0144479i
$477$	−4.59157	+	2.95083i	−0.210234	+	0.135109i
$478$	0.906617	−	6.30566i	0.0414677	−	0.288414i
$479$	−9.54552	−	6.13453i	−0.436146	−	0.280294i	0.304087	−	0.952644i	$-0.401649\pi$
$479$	−9.54552	−	6.13453i	−0.436146	−	0.280294i	−0.740233	+	0.672350i	$0.765285\pi$
$480$	−0.162616	+	0.187669i	−0.00742238	+	0.00856588i
$481$	8.19797	+	2.40714i	0.373795	+	0.109756i
$482$	−30.0380			−1.36819
$483$	2.49944	+	4.09302i	0.113728	+	0.186239i
$484$	7.47865			0.339939
$485$	2.03099	+	0.596353i	0.0922226	+	0.0270790i
$486$	0.654861	−	0.755750i	0.0297051	−	0.0342815i
$487$	15.3443	+	9.86116i	0.695315	+	0.446852i	0.839972	−	0.542630i	$-0.182571\pi$
$487$	15.3443	+	9.86116i	0.695315	+	0.446852i	−0.144657	+	0.989482i	$0.546208\pi$
$488$	−1.71749	+	11.9454i	−0.0777471	+	0.540743i
$489$	−14.5987	+	9.38205i	−0.660178	+	0.424271i
$490$	0.103157	+	0.225881i	0.00466014	+	0.0102043i
$491$	−14.4352	−	16.6591i	−0.651449	−	0.751813i	0.329906	−	0.944014i	$-0.392983\pi$
$491$	−14.4352	−	16.6591i	−0.651449	−	0.751813i	−0.981356	+	0.192201i	$0.938437\pi$
$492$	1.04512	+	7.26895i	0.0471175	+	0.327710i
$493$	−0.597244	+	1.30778i	−0.0268985	+	0.0588995i
$494$	−52.3858	+	15.3819i	−2.35695	+	0.692062i
$495$	−1.02422	+	0.300737i	−0.0460351	+	0.0135171i
$496$	−3.98154	+	8.71835i	−0.178776	+	0.391465i
$497$	0.584746	+	4.06700i	0.0262294	+	0.182430i
$498$	−0.592586	−	0.683881i	−0.0265544	−	0.0306454i
$499$	4.83742	+	10.5925i	0.216552	+	0.474184i	0.986466	−	0.163964i	$-0.0524281\pi$
$499$	4.83742	+	10.5925i	0.216552	+	0.474184i	−0.769914	+	0.638148i	$0.779701\pi$
$500$	2.07613	−	1.33425i	0.0928475	−	0.0596695i
$501$	−1.12860	+	7.84956i	−0.0504219	+	0.350692i
$502$	−8.26694	−	5.31284i	−0.368971	−	0.237124i
$503$	−24.2870	+	28.0287i	−1.08290	+	1.24974i	−0.116366	+	0.993206i	$0.537125\pi$
$503$	−24.2870	+	28.0287i	−1.08290	+	1.24974i	−0.966536	+	0.256530i	$0.917421\pi$
$504$	−0.959493	−	0.281733i	−0.0427392	−	0.0125494i
$505$	−4.48611			−0.199629
$506$	15.2660	+	13.8549i	0.678658	+	0.615924i
$507$	32.6507			1.45007
$508$	−13.7900	−	4.04912i	−0.611833	−	0.179650i
$509$	9.25803	−	10.6843i	0.410355	−	0.473575i	−0.512519	−	0.858676i	$-0.671288\pi$
$509$	9.25803	−	10.6843i	0.410355	−	0.473575i	0.922875	+	0.385100i	$0.125833\pi$
$510$	0.0723908	+	0.0465227i	0.00320552	+	0.00206006i
$511$	−1.89137	+	13.1548i	−0.0836694	+	0.581934i
$512$	−0.841254	+	0.540641i	−0.0371785	+	0.0238932i
$513$	−3.35684	−	7.35045i	−0.148208	−	0.324530i
$514$	14.4003	+	16.6189i	0.635172	+	0.733027i
$515$	0.432871	+	3.01069i	0.0190746	+	0.132667i
$516$	1.57689	−	3.45292i	0.0694189	−	0.152006i
$517$	42.5172	−	12.4842i	1.86991	−	0.549054i
$518$	1.21334	−	0.356269i	0.0533111	−	0.0156536i
$519$	9.52905	−	20.8657i	0.418279	−	0.915903i
$520$	−0.238775	−	1.66071i	−0.0104710	−	0.0728272i
$521$	11.4384	+	13.2007i	0.501127	+	0.578331i	0.948805	−	0.315864i	$-0.102294\pi$
$521$	11.4384	+	13.2007i	0.501127	+	0.578331i	−0.447678	+	0.894195i	$0.647749\pi$
$522$	1.72350	+	3.77393i	0.0754353	+	0.165180i
$523$	−19.9646	+	12.8305i	−0.872993	+	0.561039i	−0.898667	−	0.438632i	$-0.855463\pi$
$523$	−19.9646	+	12.8305i	−0.872993	+	0.561039i	0.0256738	+	0.999670i	$0.491827\pi$
$524$	−0.449879	+	3.12898i	−0.0196531	+	0.136690i
$525$	4.15439	+	2.66987i	0.181313	+	0.116523i
$526$	1.34804	−	1.55572i	0.0587772	−	0.0678325i
$527$	3.18678	+	0.935723i	0.138818	+	0.0407607i
$528$	−4.29868			−0.187076
$529$	2.22388	+	22.8922i	0.0966905	+	0.995314i
$530$	−1.35534			−0.0588724
$531$	−5.43225	−	1.59505i	−0.235740	−	0.0692194i
$532$	−5.29172	+	6.10697i	−0.229425	+	0.264771i
$533$	−41.7412	−	26.8255i	−1.80801	−	1.16194i
$534$	0.625354	−	4.34943i	0.0270617	−	0.188218i
$535$	2.54693	−	1.63681i	0.110113	−	0.0707656i
$536$	−2.65319	−	5.80967i	−0.114600	−	0.250939i
$537$	−12.8427	−	14.8212i	−0.554202	−	0.639583i
$538$	0.395678	+	2.75200i	0.0170589	+	0.118647i
$539$	−1.78574	+	3.91022i	−0.0769171	+	0.168425i
$540$	0.238263	−	0.0699603i	0.0102532	−	0.00301061i
$541$	−19.0541	+	5.59478i	−0.819198	+	0.240538i	−0.664371	−	0.747403i	$-0.731300\pi$
$541$	−19.0541	+	5.59478i	−0.819198	+	0.240538i	−0.154827	+	0.987942i	$0.549482\pi$
$542$	−0.474132	+	1.03820i	−0.0203657	+	0.0445947i
$543$	−0.407115	−	2.83155i	−0.0174710	−	0.121513i
$544$	0.226929	+	0.261890i	0.00972951	+	0.0112285i
$545$	−0.381033	−	0.834347i	−0.0163217	−	0.0357395i
$546$	5.68395	−	3.65285i	0.243251	−	0.156328i
$547$	−1.75024	+	12.1732i	−0.0748351	+	0.520489i	0.917579	+	0.397552i	$0.130140\pi$
$547$	−1.75024	+	12.1732i	−0.0748351	+	0.520489i	−0.992415	+	0.122937i	$0.960769\pi$
$548$	0.181530	+	0.116662i	0.00775456	+	0.00498355i
$549$	7.90302	−	9.12057i	0.337293	−	0.389256i
$550$	20.3684	+	5.98071i	0.868513	+	0.255018i
$551$	33.5256			1.42824
$552$	−3.55133	−	3.22305i	−0.151155	−	0.137182i
$553$	1.67570			0.0712579
$554$	11.5493	+	3.39117i	0.490681	+	0.144077i
$555$	−0.205638	+	0.237319i	−0.00872887	+	0.0100737i
$556$	−1.21957	−	0.783767i	−0.0517211	−	0.0332391i
$557$	−3.48434	+	24.2341i	−0.147636	+	1.02683i	0.772439	+	0.635089i	$0.219037\pi$
$557$	−3.48434	+	24.2341i	−0.147636	+	1.02683i	−0.920075	+	0.391743i	$0.871872\pi$
$558$	8.06298	−	5.18176i	0.341333	−	0.219361i
$559$	10.6543	+	23.3297i	0.450630	+	0.986742i
$560$	−0.162616	−	0.187669i	−0.00687178	−	0.00793046i
$561$	0.211996	+	1.47446i	0.00895046	+	0.0622518i
$562$	6.49705	−	14.2266i	0.274062	−	0.600111i
$563$	20.0222	−	5.87905i	0.843835	−	0.247772i	0.168885	−	0.985636i	$-0.445983\pi$
$563$	20.0222	−	5.87905i	0.843835	−	0.247772i	0.674950	+	0.737863i	$0.264165\pi$
$564$	−9.89077	+	2.90419i	−0.416476	+	0.122288i
$565$	1.44104	−	3.15544i	0.0606250	−	0.132750i
$566$	1.65684	+	11.5236i	0.0696423	+	0.484373i
$567$	0.654861	+	0.755750i	0.0275016	+	0.0317385i
$568$	−1.70687	−	3.73751i	−0.0716185	−	0.156823i
$569$	−31.5344	+	20.2659i	−1.32199	+	0.849591i	−0.995421	−	0.0955832i	$-0.969528\pi$
$569$	−31.5344	+	20.2659i	−1.32199	+	0.849591i	−0.326567	+	0.945174i	$0.605892\pi$
$570$	0.285570	−	1.98618i	0.0119612	−	0.0831921i
$571$	6.25785	+	4.02168i	0.261883	+	0.168302i	0.664993	−	0.746849i	$-0.268434\pi$
$571$	6.25785	+	4.02168i	0.261883	+	0.168302i	−0.403110	+	0.915152i	$0.632071\pi$
$572$	19.0199	−	21.9501i	0.795261	−	0.917780i
$573$	−14.2992	−	4.19862i	−0.597357	−	0.175400i
$574$	−7.34370			−0.306520
$575$	12.3431	+	20.2127i	0.514741	+	0.842928i
$576$	1.00000			0.0416667
$577$	−22.1106	−	6.49225i	−0.920476	−	0.270276i	−0.213032	−	0.977045i	$-0.568334\pi$
$577$	−22.1106	−	6.49225i	−0.920476	−	0.270276i	−0.707444	+	0.706769i	$0.750152\pi$
$578$	−11.0540	+	12.7570i	−0.459786	+	0.530621i
$579$	−4.95168	−	3.18225i	−0.205785	−	0.132250i
$580$	−0.146620	+	1.01976i	−0.00608806	+	0.0423434i
$581$	0.761254	−	0.489228i	0.0315821	−	0.0202966i
$582$	−3.54107	−	7.75386i	−0.146782	−	0.321408i
$583$	−15.3645	−	17.7316i	−0.636333	−	0.734368i
$584$	−1.89137	−	13.1548i	−0.0782656	−	0.544349i
$585$	−0.696980	+	1.52617i	−0.0288166	+	0.0630995i
$586$	16.9553	−	4.97852i	0.700416	−	0.205661i
$587$	28.6274	−	8.40577i	1.18158	−	0.346943i	0.368797	−	0.929510i	$-0.379770\pi$
$587$	28.6274	−	8.40577i	1.18158	−	0.346943i	0.812783	+	0.582567i	$0.197952\pi$
$588$	0.415415	−	0.909632i	0.0171314	−	0.0375126i
$589$	−11.0222	−	76.6608i	−0.454160	−	3.15875i
$590$	−0.920665	−	1.06250i	−0.0379032	−	0.0437426i
$591$	9.24210	+	20.2374i	0.380169	+	0.832454i
$592$	−1.06382	+	0.683675i	−0.0437227	+	0.0280989i
$593$	−5.53147	+	38.4722i	−0.227150	+	1.57986i	0.482875	+	0.875689i	$0.339592\pi$
$593$	−5.53147	+	38.4722i	−0.227150	+	1.57986i	−0.710026	+	0.704176i	$0.751317\pi$
$594$	3.61628	+	2.32404i	0.148378	+	0.0953566i
$595$	−0.0563515	+	0.0650331i	−0.00231018	+	0.00266610i
$596$	−6.36386	−	1.86860i	−0.260674	−	0.0765408i
$597$	0.675198			0.0276340
$598$	32.1708	−	3.87329i	1.31556	−	0.158391i
$599$	25.7728			1.05305			0.526523	−	0.850161i	$-0.323495\pi$
$599$	25.7728			1.05305			0.526523	+	0.850161i	$0.323495\pi$
$600$	−4.73830	−	1.39129i	−0.193440	−	0.0567992i
$601$	7.82286	−	9.02807i	0.319101	−	0.368262i	−0.573425	−	0.819258i	$-0.694386\pi$
$601$	7.82286	−	9.02807i	0.319101	−	0.368262i	0.892526	+	0.450996i	$0.148931\pi$
$602$	3.19335	+	2.05224i	0.130151	+	0.0836432i
$603$	−0.908941	+	6.32182i	−0.0370149	+	0.257445i
$604$	−2.27499	+	1.46205i	−0.0925680	+	0.0594898i
$605$	−0.771472	−	1.68929i	−0.0313648	−	0.0686793i
$606$	11.8305	+	13.6531i	0.480582	+	0.554621i
$607$	3.02760	+	21.0574i	0.122887	+	0.854695i	0.954259	+	0.298980i	$0.0966463\pi$
$607$	3.02760	+	21.0574i	0.122887	+	0.854695i	−0.831373	+	0.555715i	$0.812445\pi$
$608$	3.35684	−	7.35045i	0.136138	−	0.298100i
$609$	−3.98079	+	1.16887i	−0.161310	+	0.0473649i
$610$	2.87541	−	0.844298i	0.116422	−	0.0341846i
$611$	28.9330	−	63.3545i	1.17050	−	2.56305i
$612$	−0.0493165	−	0.343003i	−0.00199350	−	0.0138651i
$613$	12.5661	+	14.5020i	0.507539	+	0.585732i	0.950467	−	0.310826i	$-0.100606\pi$
$613$	12.5661	+	14.5020i	0.507539	+	0.585732i	−0.442928	+	0.896557i	$0.646060\pi$
$614$	14.0641	+	30.7961i	0.567581	+	1.24283i
$615$	1.53411	−	0.985912i	0.0618613	−	0.0397558i
$616$	0.611766	−	4.25493i	0.0246488	−	0.171436i
$617$	−10.9063	−	7.00909i	−0.439073	−	0.282175i	0.302370	−	0.953191i	$-0.402222\pi$
$617$	−10.9063	−	7.00909i	−0.439073	−	0.282175i	−0.741443	+	0.671015i	$0.765858\pi$
$618$	8.02127	−	9.25703i	0.322663	−	0.372373i
$619$	−13.1120	−	3.85003i	−0.527016	−	0.154746i	0.00739154	−	0.999973i	$-0.497647\pi$
$619$	−13.1120	−	3.85003i	−0.527016	−	0.154746i	−0.534408	+	0.845227i	$0.679465\pi$
$620$	2.38003			0.0955845
$621$	1.24506	+	4.63140i	0.0499624	+	0.185852i
$622$	−9.05685			−0.363147
$623$	4.21617	+	1.23798i	0.168917	+	0.0495985i
$624$	−4.42458	+	5.10624i	−0.177125	+	0.204413i
$625$	20.2564	+	13.0180i	0.810257	+	0.520720i
$626$	−0.314290	+	2.18593i	−0.0125615	+	0.0873674i
$627$	29.2220	−	18.7798i	1.16701	−	0.749995i
$628$	−8.38409	−	18.3586i	−0.334561	−	0.732587i
$629$	0.286967	+	0.331177i	0.0114421	+	0.0132049i
$630$	0.0353399	+	0.245794i	0.00140797	+	0.00979267i
$631$	7.96722	−	17.4458i	0.317170	−	0.694506i	−0.682156	−	0.731207i	$-0.738958\pi$
$631$	7.96722	−	17.4458i	0.317170	−	0.694506i	0.999326	+	0.0367007i	$0.0116848\pi$
$632$	−1.60782	+	0.472099i	−0.0639557	+	0.0187791i
$633$	−10.2628	+	3.01344i	−0.407911	+	0.119773i
$634$	3.36601	−	7.37053i	0.133681	−	0.292721i
$635$	0.507911	+	3.53260i	0.0201558	+	0.140187i
$636$	3.57424	+	4.12489i	0.141728	+	0.163563i
$637$	2.80676	+	6.14595i	0.111208	+	0.243512i
$638$	−15.0034	+	9.64210i	−0.593991	+	0.381735i
$639$	−0.584746	+	4.06700i	−0.0231322	+	0.160888i
$640$	0.208901	+	0.134253i	0.00825756	+	0.00530681i
$641$	−3.85882	+	4.45332i	−0.152414	+	0.175896i	−0.826822	−	0.562464i	$-0.809854\pi$
$641$	−3.85882	+	4.45332i	−0.152414	+	0.175896i	0.674408	+	0.738359i	$0.264399\pi$
$642$	−11.6981	−	3.43489i	−0.461689	−	0.135564i
$643$	−0.445200			−0.0175570			−0.00877848	−	0.999961i	$-0.502794\pi$
$643$	−0.445200			−0.0175570			−0.00877848	+	0.999961i	$0.502794\pi$
$644$	3.69565	−	3.05649i	0.145629	−	0.120443i
$645$	−0.942616			−0.0371155
$646$	−2.68678	−	0.788909i	−0.105710	−	0.0310392i
$647$	−27.8425	+	32.1319i	−1.09460	+	1.26324i	−0.132310	+	0.991208i	$0.542240\pi$
$647$	−27.8425	+	32.1319i	−1.09460	+	1.26324i	−0.962290	+	0.272027i	$0.912306\pi$
$648$	−0.841254	−	0.540641i	−0.0330476	−	0.0212384i
$649$	3.46357	−	24.0896i	0.135957	−	0.945601i
$650$	28.0693	−	18.0390i	1.10097	−	0.707549i
$651$	3.98154	+	8.71835i	0.156049	+	0.341699i
$652$	11.3642	+	13.1150i	0.445055	+	0.513621i
$653$	4.58504	+	31.8896i	0.179426	+	1.24794i	0.858094	+	0.513493i	$0.171649\pi$
$653$	4.58504	+	31.8896i	0.179426	+	1.24794i	−0.678668	+	0.734446i	$0.737442\pi$
$654$	−1.53443	+	3.35994i	−0.0600012	+	0.131384i
$655$	0.753186	−	0.221155i	0.0294294	−	0.00864125i
$656$	7.04623	−	2.06896i	0.275109	−	0.0807793i
$657$	−5.52089	+	12.0891i	−0.215391	+	0.471639i
$658$	−1.46703	−	10.2034i	−0.0571907	−	0.397770i
$659$	6.98157	+	8.05716i	0.271963	+	0.313862i	0.875258	−	0.483656i	$-0.160691\pi$
$659$	6.98157	+	8.05716i	0.271963	+	0.313862i	−0.603295	+	0.797518i	$0.706146\pi$
$660$	0.443437	+	0.970992i	0.0172608	+	0.0377958i
$661$	33.3693	−	21.4452i	1.29792	−	0.834120i	0.304932	−	0.952374i	$-0.401366\pi$
$661$	33.3693	−	21.4452i	1.29792	−	0.834120i	0.992983	+	0.118254i	$0.0377298\pi$
$662$	−0.620997	+	4.31913i	−0.0241357	+	0.167868i
$663$	1.96966	+	1.26583i	0.0764954	+	0.0491606i
$664$	−0.592586	+	0.683881i	−0.0229968	+	0.0265397i
$665$	1.92533	+	0.565327i	0.0746610	+	0.0219224i
$666$	1.26456			0.0490009
$667$	−19.6244	−	3.28344i	−0.759860	−	0.127135i
$668$	7.93028			0.306832
$669$	−4.63653	−	1.36141i	−0.179259	−	0.0526351i
$670$	−1.03860	+	1.19861i	−0.0401247	+	0.0463064i
$671$	43.6421	+	28.0471i	1.68479	+	1.08275i
$672$	−0.142315	+	0.989821i	−0.00548991	+	0.0381832i
$673$	4.64624	−	2.98596i	0.179099	−	0.115100i	−0.448019	−	0.894024i	$-0.647870\pi$
$673$	4.64624	−	2.98596i	0.179099	−	0.115100i	0.627119	+	0.778924i	$0.284234\pi$
$674$	−3.71897	−	8.14341i	−0.143249	−	0.313672i
$675$	3.23392	+	3.73215i	0.124474	+	0.143650i
$676$	−4.64667	−	32.3183i	−0.178718	−	1.24301i
$677$	14.1534	−	30.9916i	0.543958	−	1.19110i	−0.415588	−	0.909553i	$-0.636424\pi$
$677$	14.1534	−	30.9916i	0.543958	−	1.19110i	0.959547	−	0.281550i	$-0.0908485\pi$
$678$	−13.4036	+	3.93565i	−0.514762	+	0.151148i
$679$	8.17888	−	2.40154i	0.313877	−	0.0921625i
$680$	0.0357469	−	0.0782748i	0.00137083	−	0.00300170i
$681$	−2.21673	−	15.4177i	−0.0849451	−	0.590806i
$682$	26.9807	+	31.1373i	1.03314	+	1.19231i
$683$	−3.32209	−	7.27436i	−0.127116	−	0.278346i	0.835364	−	0.549697i	$-0.185257\pi$
$683$	−3.32209	−	7.27436i	−0.127116	−	0.278346i	−0.962480	+	0.271351i	$0.912530\pi$
$684$	−6.79790	+	4.36875i	−0.259924	+	0.167043i
$685$	0.00762580	−	0.0530386i	0.000291367	−	0.00202650i
$686$	0.841254	+	0.540641i	0.0321192	+	0.0206418i
$687$	18.2654	−	21.0794i	0.696870	−	0.804231i
$688$	−3.64219	−	1.06944i	−0.138857	−	0.0407721i
$689$	−36.8772			−1.40491
$690$	−0.361684	+	1.13466i	−0.0137691	+	0.0431957i
$691$	−0.657612			−0.0250167			−0.0125084	−	0.999922i	$-0.503982\pi$
$691$	−0.657612			−0.0250167			−0.0125084	+	0.999922i	$0.503982\pi$
$692$	−22.0094	−	6.46256i	−0.836674	−	0.245670i
$693$	−2.81504	+	3.24873i	−0.106934	+	0.123409i
$694$	−7.76370	−	4.98942i	−0.294706	−	0.189396i
$695$	−0.0512322	+	0.356328i	−0.00194335	+	0.0135163i
$696$	3.49024	−	2.24304i	0.132297	−	0.0850221i
$697$	−1.05716	−	2.31485i	−0.0400426	−	0.0876811i
$698$	2.56574	+	2.96102i	0.0971147	+	0.112076i
$699$	1.46404	+	10.1826i	0.0553750	+	0.385141i
$700$	2.05146	−	4.49207i	0.0775379	−	0.169784i
$701$	15.2705	−	4.48382i	0.576759	−	0.169352i	0.0196729	−	0.999806i	$-0.493738\pi$
$701$	15.2705	−	4.48382i	0.576759	−	0.169352i	0.557086	+	0.830455i	$0.311919\pi$
$702$	6.48284	−	1.90353i	0.244679	−	0.0718443i
$703$	4.24494	−	9.29511i	0.160101	−	0.350572i
$704$	0.611766	+	4.25493i	0.0230568	+	0.160364i
$705$	1.67630	+	1.93455i	0.0631331	+	0.0728595i
$706$	12.2051	+	26.7255i	0.459346	+	1.00583i
$707$	−15.1978	+	9.76706i	−0.571573	+	0.367328i
$708$	−0.805728	+	5.60396i	−0.0302811	+	0.210610i
$709$	−18.6067	−	11.9578i	−0.698790	−	0.449085i	0.142411	−	0.989808i	$-0.454515\pi$
$709$	−18.6067	−	11.9578i	−0.698790	−	0.449085i	−0.841201	+	0.540722i	$0.818151\pi$
$710$	−0.668160	+	0.771098i	−0.0250756	+	0.0289388i
$711$	1.60782	+	0.472099i	0.0602980	+	0.0177051i
$712$	−4.39416			−0.164678
$713$	−1.05615	+	45.9534i	−0.0395530	+	1.72097i
$714$	0.346531			0.0129686
$715$	−6.92014	−	2.03194i	−0.258799	−	0.0759902i
$716$	−12.8427	+	14.8212i	−0.479953	+	0.553895i
$717$	5.35921	+	3.44415i	0.200143	+	0.128624i
$718$	5.08438	−	35.3627i	0.189747	−	1.31972i
$719$	−3.69074	+	2.37190i	−0.137641	+	0.0884568i	−0.607649	−	0.794205i	$-0.707887\pi$
$719$	−3.69074	+	2.37190i	−0.137641	+	0.0884568i	0.470008	+	0.882662i	$0.344251\pi$
$720$	−0.103157	−	0.225881i	−0.00384442	−	0.00841810i
$721$	8.02127	+	9.25703i	0.298728	+	0.344750i
$722$	6.58881	+	45.8262i	0.245210	+	1.70547i
$723$	12.4782	−	27.3235i	0.464070	−	1.01617i
$724$	−2.74479	+	0.805942i	−0.102009	+	0.0299526i
$725$	−19.6585	+	5.77226i	−0.730098	+	0.214376i
$726$	−3.10674	+	6.80282i	−0.115302	+	0.252476i
$727$	−2.76238	−	19.2128i	−0.102451	−	0.712564i	−0.974703	−	0.223506i	$-0.928250\pi$
$727$	−2.76238	−	19.2128i	−0.102451	−	0.712564i	0.872251	−	0.489058i	$-0.162659\pi$
$728$	−4.42458	−	5.10624i	−0.163986	−	0.189250i
$729$	0.415415	+	0.909632i	0.0153857	+	0.0336901i
$730$	−2.77631	+	1.78423i	−0.102756	+	0.0660373i
$731$	−0.187203	+	1.30202i	−0.00692394	+	0.0481571i
$732$	−10.1525	−	6.52459i	−0.375245	−	0.241156i
$733$	−23.3895	+	26.9929i	−0.863910	+	0.997005i	0.136070	+	0.990699i	$0.456553\pi$
$733$	−23.3895	+	26.9929i	−0.863910	+	0.997005i	−0.999980	+	0.00630600i	$0.997993\pi$
$734$	8.78938	+	2.58080i	0.324422	+	0.0952589i
$735$	−0.248322			−0.00915948
$736$	−2.68484	+	3.97387i	−0.0989645	+	0.146479i
$737$	−27.4550			−1.01132
$738$	−7.04623	−	2.06896i	−0.259375	−	0.0761594i
$739$	20.2322	−	23.3492i	0.744255	−	0.858916i	−0.249743	−	0.968312i	$-0.580346\pi$
$739$	20.2322	−	23.3492i	0.744255	−	0.858916i	0.993998	+	0.109396i	$0.0348917\pi$
$740$	0.264169	+	0.169771i	0.00971106	+	0.00624092i
$741$	7.77001	−	54.0416i	0.285439	−	1.98527i
$742$	−4.59157	+	2.95083i	−0.168562	+	0.108328i
$743$	15.4170	+	33.7586i	0.565597	+	1.23848i	0.949109	+	0.314948i	$0.101987\pi$
$743$	15.4170	+	33.7586i	0.565597	+	1.23848i	−0.383512	+	0.923536i	$0.625286\pi$
$744$	−6.27650	−	7.24347i	−0.230108	−	0.265558i
$745$	0.234393	+	1.63024i	0.00858748	+	0.0597272i
$746$	2.94481	−	6.44824i	0.107817	−	0.236087i
$747$	0.868249	−	0.254941i	0.0317676	−	0.00932780i
$748$	1.42928	−	0.419676i	0.0522598	−	0.0153449i
$749$	5.06474	−	11.0902i	0.185062	−	0.405229i
$750$	0.351219	+	2.44278i	0.0128247	+	0.0891979i
$751$	−31.5679	−	36.4313i	−1.15193	−	1.32940i	−0.935594	−	0.353077i	$-0.885136\pi$
$751$	−31.5679	−	36.4313i	−1.15193	−	1.32940i	−0.216334	−	0.976319i	$-0.569410\pi$
$752$	4.28223	+	9.37678i	0.156157	+	0.341936i
$753$	8.26694	−	5.31284i	0.301264	−	0.193611i
$754$	−3.98935	+	27.7465i	−0.145283	+	1.01047i
$755$	0.564929	+	0.363058i	0.0205599	+	0.0132130i
$756$	0.654861	−	0.755750i	0.0238171	−	0.0274863i
$757$	45.9308	+	13.4865i	1.66938	+	0.490175i	0.973635	−	0.228110i	$-0.0732545\pi$
$757$	45.9308	+	13.4865i	1.66938	+	0.490175i	0.695749	+	0.718285i	$0.255073\pi$
$758$	−16.8038			−0.610343
$759$	−18.9446	+	8.13095i	−0.687644	+	0.295135i
$760$	−2.00661			−0.0727874
$761$	11.6881	+	3.43192i	0.423692	+	0.124407i	0.486626	−	0.873611i	$-0.338228\pi$
$761$	11.6881	+	3.43192i	0.423692	+	0.124407i	−0.0629340	+	0.998018i	$0.520046\pi$
$762$	9.41179	−	10.8618i	0.340953	−	0.393481i
$763$	−3.10737	−	1.99699i	−0.112494	−	0.0722958i
$764$	−2.12090	+	14.7512i	−0.0767314	+	0.533679i
$765$	−0.0723908	+	0.0465227i	−0.00261729	+	0.00168203i
$766$	14.8605	+	32.5399i	0.536931	+	1.17572i
$767$	−25.0502	−	28.9094i	−0.904509	−	1.04386i
$768$	−0.142315	−	0.989821i	−0.00513534	−	0.0357171i
$769$	2.50498	−	5.48515i	0.0903320	−	0.197799i	−0.859074	−	0.511852i	$-0.828960\pi$
$769$	2.50498	−	5.48515i	0.0903320	−	0.197799i	0.949406	+	0.314053i	$0.101687\pi$
$770$	−1.02422	+	0.300737i	−0.0369102	+	0.0108378i
$771$	−21.0992	+	6.19528i	−0.759868	+	0.223117i
$772$	−2.44516	+	5.35416i	−0.0880034	+	0.192701i
$773$	4.61073	+	32.0683i	0.165836	+	1.15342i	0.887377	+	0.461045i	$0.152525\pi$
$773$	4.61073	+	32.0683i	0.165836	+	1.15342i	−0.721540	+	0.692372i	$0.756566\pi$
$774$	2.48582	+	2.86879i	0.0893509	+	0.103116i
$775$	19.6622	+	43.0541i	0.706286	+	1.54655i
$776$	−7.17099	+	4.60851i	−0.257423	+	0.165436i
$777$	−0.179966	+	1.25169i	−0.00645625	+	0.0449042i
$778$	−28.2713	−	18.1688i	−1.01357	−	0.651384i
$779$	−38.8608	+	44.8478i	−1.39233	+	1.60684i
$780$	1.60983	+	0.472689i	0.0576412	+	0.0169250i
$781$	−17.6625			−0.632014
$782$	1.49546	+	0.724932i	0.0534775	+	0.0259235i
$783$	−4.14885			−0.148268
$784$	−0.959493	−	0.281733i	−0.0342676	−	0.0100619i
$785$	−3.28199	+	3.78762i	−0.117139	+	0.135186i
$786$	−2.65933	−	1.70905i	−0.0948552	−	0.0609597i
$787$	1.06658	−	7.41825i	0.0380196	−	0.264432i	−0.961941	−	0.273255i	$-0.911900\pi$
$787$	1.06658	−	7.41825i	0.0380196	−	0.264432i	0.999961	+	0.00882353i	$0.00280865\pi$
$788$	18.7161	−	12.0281i	0.666733	−	0.428483i
$789$	0.855136	+	1.87249i	0.0304436	+	0.0666623i
$790$	0.272495	+	0.314476i	0.00969495	+	0.0111886i
$791$	−1.98806	−	13.8273i	−0.0706873	−	0.491641i
$792$	1.78574	−	3.91022i	0.0634534	−	0.138944i
$793$	78.2365	−	22.9723i	2.77826	−	0.815771i
$794$	−19.7819	+	5.80848i	−0.702033	+	0.206135i
$795$	0.563030	−	1.23286i	0.0199686	−	0.0437252i
$796$	−0.0960907	−	0.668325i	−0.00340584	−	0.0236882i
$797$	−32.0635	−	37.0033i	−1.13575	−	1.31072i	−0.944249	−	0.329231i	$-0.893211\pi$
$797$	−32.0635	−	37.0033i	−1.13575	−	1.31072i	−0.191499	−	0.981493i	$-0.561335\pi$
$798$	−3.35684	−	7.35045i	−0.118831	−	0.260203i
$799$	3.00508	−	1.93125i	0.106312	−	0.0683227i
$800$	−0.702799	+	4.88807i	−0.0248477	+	0.172819i
$801$	3.69660	+	2.37566i	0.130613	+	0.0839399i
$802$	−12.1104	+	13.9762i	−0.427635	+	0.493517i
$803$	−54.8156	−	16.0953i	−1.93440	−	0.567991i
$804$	6.38683			0.225246
$805$	−1.07164	−	0.519481i	−0.0377702	−	0.0183093i
$806$	64.7578			2.28100
$807$	−2.66768	−	0.783301i	−0.0939067	−	0.0275735i
$808$	11.8305	−	13.6531i	0.416196	−	0.480316i
$809$	6.94209	+	4.46141i	0.244071	+	0.156855i	0.656957	−	0.753928i	$-0.271843\pi$
$809$	6.94209	+	4.46141i	0.244071	+	0.156855i	−0.412887	+	0.910782i	$0.635479\pi$
$810$	−0.0353399	+	0.245794i	−0.00124172	+	0.00863632i
$811$	−8.78796	+	5.64768i	−0.308587	+	0.198317i	−0.685763	−	0.727825i	$-0.740531\pi$
$811$	−8.78796	+	5.64768i	−0.308587	+	0.198317i	0.377176	+	0.926141i	$0.376895\pi$
$812$	1.72350	+	3.77393i	0.0604828	+	0.132439i
$813$	−0.747422	−	0.862571i	−0.0262132	−	0.0302517i
$814$	0.773617	+	5.38063i	0.0271153	+	0.188591i
$815$	1.79013	−	3.91985i	0.0627057	−	0.137306i
$816$	−0.332494	+	0.0976290i	−0.0116396	+	0.00341770i
$817$	29.4313	−	8.64182i	1.02967	−	0.302339i
$818$	4.25318	−	9.31317i	0.148709	−	0.325627i
$819$	0.961554	+	6.68776i	0.0335994	+	0.233689i
$820$	−1.19420	−	1.37818i	−0.0417034	−	0.0481283i
$821$	−5.33149	−	11.6743i	−0.186070	−	0.407437i	0.793491	−	0.608582i	$-0.208261\pi$
$821$	−5.33149	−	11.6743i	−0.186070	−	0.407437i	−0.979562	+	0.201145i	$0.935534\pi$
$822$	−0.181530	+	0.116662i	−0.00633157	+	0.00406905i
$823$	7.70010	−	53.5554i	0.268409	−	1.86682i	−0.195172	−	0.980769i	$-0.562527\pi$
$823$	7.70010	−	53.5554i	0.268409	−	1.86682i	0.463581	−	0.886054i	$-0.346564\pi$
$824$	−10.3044	−	6.62221i	−0.358969	−	0.230696i
$825$	−13.9016	+	16.0433i	−0.483992	+	0.558556i
$826$	−5.43225	−	1.59505i	−0.189012	−	0.0554990i
$827$	31.3204			1.08912			0.544558	−	0.838723i	$-0.316697\pi$
$827$	31.3204			1.08912			0.544558	+	0.838723i	$0.316697\pi$
$828$	4.40707	−	1.89150i	0.153156	−	0.0657341i
$829$	21.7287			0.754670			0.377335	−	0.926077i	$-0.376841\pi$
$829$	21.7287			0.754670			0.377335	+	0.926077i	$0.376841\pi$
$830$	0.215605	+	0.0633074i	0.00748376	+	0.00219743i
$831$	−7.88245	+	9.09683i	−0.273439	+	0.315566i
$832$	5.68395	+	3.65285i	0.197056	+	0.126640i
$833$	−0.0493165	+	0.343003i	−0.00170871	+	0.0118844i
$834$	1.21957	−	0.783767i	0.0422301	−	0.0271396i
$835$	−0.818060	−	1.79130i	−0.0283101	−	0.0619905i
$836$	−22.7474	−	26.2519i	−0.786736	−	0.907942i
$837$	1.36401	+	9.48692i	0.0471472	+	0.327916i
$838$	8.55116	−	18.7244i	0.295395	−	0.646825i
$839$	−12.7587	+	3.74628i	−0.440478	+	0.129336i	−0.494449	−	0.869207i	$-0.664630\pi$
$839$	−12.7587	+	3.74628i	−0.440478	+	0.129336i	0.0539714	+	0.998542i	$0.482812\pi$
$840$	0.238263	−	0.0699603i	0.00822085	−	0.00241386i
$841$	−4.89651	+	10.7219i	−0.168845	+	0.369719i
$842$	−1.58178	−	11.0015i	−0.0545117	−	0.379137i
$843$	10.2420	+	11.8198i	0.352752	+	0.407097i
$844$	4.44332	+	9.72951i	0.152945	+	0.334904i
$845$	−6.82077	+	4.38344i	−0.234642	+	0.150795i
$846$	1.46703	−	10.2034i	0.0504374	−	0.350800i
$847$	−6.29144	−	4.04326i	−0.216177	−	0.138928i
$848$	3.57424	−	4.12489i	0.122740	−	0.141649i
$849$	−11.1705	−	3.27995i	−0.383371	−	0.112568i
$850$	1.71128			0.0586966
$851$	−3.39515	+	5.02521i	−0.116384	+	0.172262i
$852$	4.10882			0.140766
$853$	−46.0522	−	13.5221i	−1.57680	−	0.462989i	−0.627826	−	0.778354i	$-0.716055\pi$
$853$	−46.0522	−	13.5221i	−1.57680	−	0.462989i	−0.948971	+	0.315364i	$0.897873\pi$
$854$	7.90302	−	9.12057i	0.270436	−	0.312099i
$855$	1.68807	+	1.08485i	0.0577307	+	0.0371012i
$856$	−1.73510	+	12.0679i	−0.0593046	+	0.412473i
$857$	−35.4322	+	22.7709i	−1.21034	+	0.777839i	−0.980716	−	0.195441i	$-0.937386\pi$
$857$	−35.4322	+	22.7709i	−1.21034	+	0.777839i	−0.229625	+	0.973279i	$0.573750\pi$
$858$	12.0654	+	26.4195i	0.411905	+	0.901947i
$859$	−36.3404	−	41.9390i	−1.23992	−	1.43094i	−0.863390	−	0.504537i	$-0.831663\pi$
$859$	−36.3404	−	41.9390i	−1.23992	−	1.43094i	−0.376528	−	0.926405i	$-0.622882\pi$
$860$	0.134148	+	0.933022i	0.00457442	+	0.0318158i
$861$	3.05068	−	6.68006i	0.103967	−	0.227656i
$862$	−9.89428	+	2.90522i	−0.337000	+	0.0989523i
$863$	−51.1572	+	15.0211i	−1.74141	+	0.511324i	−0.989069	−	0.147451i	$-0.952893\pi$
$863$	−51.1572	+	15.0211i	−1.74141	+	0.511324i	−0.752340	+	0.658775i	$0.771075\pi$
$864$	−0.415415	+	0.909632i	−0.0141327	+	0.0309463i
$865$	0.810648	+	5.63818i	0.0275628	+	0.191704i
$866$	−0.517742	−	0.597506i	−0.0175936	−	0.0203041i
$867$	−7.01217	−	15.3545i	−0.238146	−	0.521467i
$868$	8.06298	−	5.18176i	0.273675	−	0.175880i
$869$	−1.02513	+	7.12997i	−0.0347753	+	0.241868i
$870$	−0.866701	−	0.556995i	−0.0293839	−	0.0188839i
$871$	−28.2591	+	32.6127i	−0.957523	+	1.10504i
$872$	3.54412	+	1.04065i	0.120019	+	0.0352407i
$873$	8.52417			0.288499
$874$	0.890438	−	38.7434i	0.0301195	−	1.31051i
$875$	−2.46790			−0.0834304
$876$	12.7517	+	3.74424i	0.430841	+	0.126506i
$877$	28.3616	−	32.7310i	0.957702	−	1.10525i	−0.0366726	−	0.999327i	$-0.511676\pi$
$877$	28.3616	−	32.7310i	0.957702	−	1.10525i	0.994375	−	0.105920i	$-0.0337787\pi$
$878$	3.74833	+	2.40890i	0.126500	+	0.0812966i
$879$	−2.51486	+	17.4912i	−0.0848240	+	0.589964i
$880$	0.898001	−	0.577110i	0.0302716	−	0.0194544i
$881$	−7.20368	−	15.7739i	−0.242698	−	0.531435i	0.748608	−	0.663013i	$-0.230723\pi$
$881$	−7.20368	−	15.7739i	−0.242698	−	0.531435i	−0.991306	+	0.131579i	$0.957995\pi$
$882$	0.654861	+	0.755750i	0.0220503	+	0.0254474i
$883$	−4.51673	−	31.4145i	−0.152000	−	1.05718i	−0.912862	−	0.408269i	$-0.866133\pi$
$883$	−4.51673	−	31.4145i	−0.152000	−	1.05718i	0.760862	−	0.648914i	$-0.224777\pi$
$884$	0.972629	−	2.12976i	0.0327131	−	0.0716316i
$885$	1.34895	−	0.396086i	0.0453443	−	0.0133143i
$886$	−9.26186	+	2.71953i	−0.311158	+	0.0913643i
$887$	−18.7164	+	40.9833i	−0.628436	+	1.37608i	0.280785	+	0.959771i	$0.409405\pi$
$887$	−18.7164	+	40.9833i	−0.628436	+	1.37608i	−0.909222	+	0.416313i	$0.863322\pi$
$888$	−0.179966	−	1.25169i	−0.00603927	−	0.0420041i
$889$	9.41179	+	10.8618i	0.315661	+	0.364292i
$890$	0.453286	+	0.992559i	0.0151942	+	0.0332706i
$891$	−3.61628	+	2.32404i	−0.121150	+	0.0778583i
$892$	−0.687704	+	4.78308i	−0.0230260	+	0.160150i
$893$	−70.0750	−	45.0345i	−2.34497	−	1.50702i
$894$	4.34338	−	5.01253i	0.145264	−	0.167644i
$895$	4.67264	+	1.37201i	0.156189	+	0.0458613i
$896$	1.00000			0.0334077
$897$	−9.84098	+	30.8726i	−0.328581	+	1.03081i
$898$	25.6335			0.855400
$899$	−38.1538	−	11.2030i	−1.27250	−	0.373640i
$900$	3.23392	−	3.73215i	0.107797	−	0.124405i
$901$	−1.59112	−	1.02255i	−0.0530079	−	0.0340661i
$902$	4.49263	−	31.2469i	0.149588	−	1.04041i
$903$	−3.19335	+	2.05224i	−0.106268	+	0.0682944i
$904$	5.80312	+	12.7071i	0.193009	+	0.422630i
$905$	0.465190	+	0.536858i	0.0154634	+	0.0178458i
$906$	−0.384860	−	2.67676i	−0.0127861	−	0.0889293i
$907$	−20.0500	+	43.9034i	−0.665749	+	1.45779i	0.211316	+	0.977418i	$0.432225\pi$
$907$	−20.0500	+	43.9034i	−0.665749	+	1.45779i	−0.877066	+	0.480370i	$0.840502\pi$
$908$	−14.9453	+	4.38832i	−0.495976	+	0.145632i
$909$	−17.3339	+	5.08970i	−0.574930	+	0.168815i
$910$	−0.696980	+	1.52617i	−0.0231047	+	0.0505922i
$911$	−2.25297	−	15.6697i	−0.0746442	−	0.519161i	−0.992500	−	0.122247i	$-0.960990\pi$
$911$	−2.25297	−	15.6697i	−0.0746442	−	0.519161i	0.917856	−	0.396915i	$-0.129919\pi$
$912$	5.29172	+	6.10697i	0.175226	+	0.202222i
$913$	1.61592	+	3.53837i	0.0534792	+	0.117103i
$914$	25.6577	−	16.4892i	0.848682	−	0.545415i
$915$	−0.426490	+	2.96630i	−0.0140993	+	0.0980630i
$916$	−23.4643	−	15.0796i	−0.775283	−	0.498244i
$917$	2.07012	−	2.38904i	0.0683612	−	0.0788931i
$918$	0.332494	+	0.0976290i	0.0109739	+	0.00322224i
$919$	−24.7630			−0.816857			−0.408428	−	0.912790i	$-0.633923\pi$
$919$	−24.7630			−0.816857			−0.408428	+	0.912790i	$0.633923\pi$
$920$	1.17458	+	0.196524i	0.0387248	+	0.00647921i
$921$	−33.8555			−1.11558
$922$	−3.56996	−	1.04823i	−0.117570	−	0.0345217i
$923$	−18.1798	+	20.9806i	−0.598396	+	0.690586i
$924$	3.61628	+	2.32404i	0.118967	+	0.0764554i
$925$	−0.888734	+	6.18128i	−0.0292214	+	0.203239i
$926$	−6.73911	+	4.33096i	−0.221461	+	0.142324i
$927$	5.08834	+	11.1419i	0.167123	+	0.365948i
$928$	−2.71692	−	3.13549i	−0.0891873	−	0.102928i
$929$	−2.66497	−	18.5352i	−0.0874347	−	0.608122i	−0.985680	−	0.168627i	$-0.946067\pi$
$929$	−2.66497	−	18.5352i	−0.0874347	−	0.608122i	0.898245	−	0.439495i	$-0.144842\pi$
$930$	−0.988702	+	2.16496i	−0.0324208	+	0.0709917i
$931$	7.75336	−	2.27659i	0.254106	−	0.0746123i
$932$	9.87060	−	2.89827i	0.323322	−	0.0949360i
$933$	3.76235	−	8.23840i	0.123174	−	0.269713i
$934$	2.92927	+	20.3735i	0.0958485	+	0.666641i
$935$	−0.242237	−	0.279556i	−0.00792199	−	0.00914247i
$936$	−2.80676	−	6.14595i	−0.0917419	−	0.200887i
$937$	27.5503	−	17.7055i	0.900029	−	0.578414i	−0.00676967	−	0.999977i	$-0.502155\pi$
$937$	27.5503	−	17.7055i	0.900029	−	0.578414i	0.906799	+	0.421563i	$0.138519\pi$
$938$	−0.908941	+	6.32182i	−0.0296780	+	0.206415i
$939$	−1.85783	−	1.19396i	−0.0606281	−	0.0389633i
$940$	1.67630	−	1.93455i	0.0546749	−	0.0630982i
$941$	−1.80191	−	0.529088i	−0.0587406	−	0.0172478i	0.252230	−	0.967667i	$-0.418836\pi$
$941$	−1.80191	−	0.529088i	−0.0587406	−	0.0172478i	−0.310971	+	0.950419i	$0.600654\pi$
$942$	20.1824			0.657579
$943$	27.1398	−	22.4460i	0.883792	−	0.730941i
$944$	5.66159			0.184269
$945$	−0.238263	−	0.0699603i	−0.00775069	−	0.00227581i
$946$	−10.6857	+	12.3320i	−0.347423	+	0.400948i
$947$	−7.76207	−	4.98838i	−0.252233	−	0.162101i	0.408414	−	0.912797i	$-0.366082\pi$
$947$	−7.76207	−	4.98838i	−0.252233	−	0.162101i	−0.660648	+	0.750696i	$0.729718\pi$
$948$	0.238477	−	1.65864i	0.00774536	−	0.0538702i
$949$	−75.5401	+	48.5467i	−2.45214	+	1.57589i
$950$	−16.5772	−	36.2990i	−0.537835	−	1.17769i
$951$	5.30618	+	6.12366i	0.172065	+	0.198573i
$952$	−0.0493165	−	0.343003i	−0.00159836	−	0.0111168i
$953$	10.2156	−	22.3690i	0.330915	−	0.724603i	−0.668909	−	0.743344i	$-0.733239\pi$
$953$	10.2156	−	22.3690i	0.330915	−	0.724603i	0.999824	+	0.0187413i	$0.00596589\pi$
$954$	−5.23693	+	1.53770i	−0.169552	+	0.0497849i
$955$	3.55080	−	1.04261i	0.114901	−	0.0337380i
$956$	2.64640	−	5.79481i	0.0855908	−	0.187418i
$957$	−2.53813	−	17.6531i	−0.0820460	−	0.570642i
$958$	−7.43056	−	8.57532i	−0.240071	−	0.277056i
$959$	−0.0896402	−	0.196285i	−0.00289463	−	0.00633836i
$960$	−0.208901	+	0.134253i	−0.00674227	+	0.00433299i
$961$	−8.66160	+	60.2428i	−0.279407	+	1.94332i
$962$	7.18772	+	4.61927i	0.231741	+	0.148931i
$963$	7.98407	−	9.21411i	0.257283	−	0.296920i
$964$	−28.8212	−	8.46268i	−0.928269	−	0.272564i
$965$	1.46164			0.0470519
$966$	1.24506	+	4.63140i	0.0400590	+	0.149013i
$967$	−1.21540			−0.0390845			−0.0195423	−	0.999809i	$-0.506221\pi$
$967$	−1.21540			−0.0390845			−0.0195423	+	0.999809i	$0.506221\pi$
$968$	7.17571	+	2.10698i	0.230636	+	0.0677209i
$969$	1.83374	−	2.11625i	0.0589083	−	0.0679839i
$970$	1.78071	+	1.14439i	0.0571752	+	0.0367443i
$971$	3.97054	−	27.6157i	0.127421	−	0.886231i	−0.821386	−	0.570373i	$-0.806799\pi$
$971$	3.97054	−	27.6157i	0.127421	−	0.886231i	0.948806	−	0.315858i	$-0.102292\pi$
$972$	0.841254	−	0.540641i	0.0269832	−	0.0173411i
$973$	0.602227	+	1.31869i	0.0193065	+	0.0422754i
$974$	11.9445	+	13.7847i	0.382727	+	0.441690i
$975$	4.74848	+	33.0264i	0.152073	+	1.05769i
$976$	−5.01333	+	10.9777i	−0.160473	+	0.351386i
$977$	53.4945	−	15.7074i	1.71144	−	0.502524i	0.728282	−	0.685277i	$-0.240319\pi$
$977$	53.4945	−	15.7074i	1.71144	−	0.502524i	0.983159	+	0.182753i	$0.0585009\pi$
$978$	−16.6506	+	4.88906i	−0.532428	+	0.156335i
$979$	−7.84681	+	17.1821i	−0.250785	+	0.549143i
$980$	0.0353399	+	0.245794i	0.00112889	+	0.00785160i
$981$	−2.41888	−	2.79154i	−0.0772291	−	0.0891271i
$982$	−9.15703	−	20.0511i	−0.292213	−	0.639856i
$983$	26.7613	−	17.1984i	0.853552	−	0.548545i	−0.0391285	−	0.999234i	$-0.512458\pi$
$983$	26.7613	−	17.1984i	0.853552	−	0.548545i	0.892681	+	0.450689i	$0.148822\pi$
$984$	−1.04512	+	7.26895i	−0.0333171	+	0.231726i
$985$	−4.64761	−	2.98684i	−0.148085	−	0.0951686i
$986$	−0.941496	+	1.08654i	−0.0299833	+	0.0346026i
$987$	9.89077	+	2.90419i	0.314827	+	0.0924414i
$988$	−54.5974			−1.73697
$989$	−18.0742	+	2.17609i	−0.574726	+	0.0691956i
$990$	−1.06746			−0.0339260
$991$	−1.46197	−	0.429273i	−0.0464410	−	0.0136363i	0.258430	−	0.966030i	$-0.416795\pi$
$991$	−1.46197	−	0.429273i	−0.0464410	−	0.0136363i	−0.304871	+	0.952394i	$0.598613\pi$
$992$	−6.27650	+	7.24347i	−0.199279	+	0.229980i
$993$	−3.67085	−	2.35911i	−0.116491	−	0.0748641i
$994$	−0.584746	+	4.06700i	−0.0185470	+	0.128997i
$995$	−0.141050	+	0.0906472i	−0.00447158	+	0.00287371i
$996$	−0.375911	−	0.823130i	−0.0119112	−	0.0260819i
$997$	30.8726	+	35.6289i	0.977745	+	1.12838i	0.991713	+	0.128475i	$0.0410083\pi$
$997$	30.8726	+	35.6289i	0.977745	+	1.12838i	−0.0139679	+	0.999902i	$0.504446\pi$
$998$	1.65722	+	11.5263i	0.0524585	+	0.364857i
$999$	−0.525319	+	1.15029i	−0.0166204	+	0.0363935i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.f.547.2	✓	30
23.9	even	11	inner	966.2.q.f.883.2	yes	30

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.f.547.2	✓	30	1.1	even	1	trivial
966.2.q.f.883.2	yes	30	23.9	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.0353399 - 0.245794i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\)	\(q+(0.959493 + 0.281733i) q^{2} +(-0.654861 + 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.0353399 - 0.245794i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(-0.415415 - 0.909632i) q^{7} +(0.654861 + 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(0.103157 - 0.225881i) q^{10} +(4.12455 - 1.21108i) q^{11} +(-0.959493 + 0.281733i) q^{12} +(2.80676 - 6.14595i) q^{13} +(-0.142315 - 0.989821i) q^{14} +(0.162616 + 0.187669i) q^{15} +(0.415415 + 0.909632i) q^{16} +(0.291520 - 0.187349i) q^{17} +(0.142315 - 0.989821i) q^{18} +(-6.79790 - 4.36875i) q^{19} +(0.162616 - 0.187669i) q^{20} +(0.959493 + 0.281733i) q^{21} +4.29868 q^{22} +(3.55133 + 3.22305i) q^{23} -1.00000 q^{24} +(4.73830 + 1.39129i) q^{25} +(4.42458 - 5.10624i) q^{26} +(0.841254 + 0.540641i) q^{27} +(0.142315 - 0.989821i) q^{28} +(-3.49024 + 2.24304i) q^{29} +(0.103157 + 0.225881i) q^{30} +(6.27650 + 7.24347i) q^{31} +(0.142315 + 0.989821i) q^{32} +(-1.78574 + 3.91022i) q^{33} +(0.332494 - 0.0976290i) q^{34} +(-0.238263 + 0.0699603i) q^{35} +(0.415415 - 0.909632i) q^{36} +(0.179966 + 1.25169i) q^{37} +(-5.29172 - 6.10697i) q^{38} +(2.80676 + 6.14595i) q^{39} +(0.208901 - 0.134253i) q^{40} +(1.04512 - 7.26895i) q^{41} +(0.841254 + 0.540641i) q^{42} +(-2.48582 + 2.86879i) q^{43} +(4.12455 + 1.21108i) q^{44} -0.248322 q^{45} +(2.49944 + 4.09302i) q^{46} +10.3083 q^{47} +(-0.959493 - 0.281733i) q^{48} +(-0.654861 + 0.755750i) q^{49} +(4.15439 + 2.66987i) q^{50} +(-0.0493165 + 0.343003i) q^{51} +(5.68395 - 3.65285i) q^{52} +(-2.26734 - 4.96479i) q^{53} +(0.654861 + 0.755750i) q^{54} +(-0.151915 - 1.05659i) q^{55} +(0.415415 - 0.909632i) q^{56} +(7.75336 - 2.27659i) q^{57} +(-3.98079 + 1.16887i) q^{58} +(2.35191 - 5.14996i) q^{59} +(0.0353399 + 0.245794i) q^{60} +(7.90302 + 9.12057i) q^{61} +(3.98154 + 8.71835i) q^{62} +(-0.841254 + 0.540641i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-1.41145 - 0.907083i) q^{65} +(-2.81504 + 3.24873i) q^{66} +(-6.12812 - 1.79938i) q^{67} +0.346531 q^{68} +(-4.76145 + 0.573266i) q^{69} -0.248322 q^{70} +(-3.94238 - 1.15759i) q^{71} +(0.654861 - 0.755750i) q^{72} +(-11.1803 - 7.18515i) q^{73} +(-0.179966 + 1.25169i) q^{74} +(-4.15439 + 2.66987i) q^{75} +(-3.35684 - 7.35045i) q^{76} +(-2.81504 - 3.24873i) q^{77} +(0.961554 + 6.68776i) q^{78} +(-0.696110 + 1.52427i) q^{79} +(0.238263 - 0.0699603i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(3.05068 - 6.68006i) q^{82} +(0.128781 + 0.895694i) q^{83} +(0.654861 + 0.755750i) q^{84} +(-0.0357469 - 0.0782748i) q^{85} +(-3.19335 + 2.05224i) q^{86} +(0.590443 - 4.10662i) q^{87} +(3.61628 + 2.32404i) q^{88} +(-2.87756 + 3.32088i) q^{89} +(-0.238263 - 0.0699603i) q^{90} -6.75653 q^{91} +(1.24506 + 4.63140i) q^{92} -9.58448 q^{93} +(9.89077 + 2.90419i) q^{94} +(-1.31405 + 1.51649i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(-1.21312 + 8.43740i) q^{97} +(-0.841254 + 0.540641i) q^{98} +(-1.78574 - 3.91022i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9	\( 30 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 10 q^{5} + 3 q^{6} + 3 q^{7} + 3 q^{8} - 3 q^{9} - 12 q^{10} - 9 q^{11} - 3 q^{12} + 12 q^{13} - 3 q^{14} + q^{15} - 3 q^{16} + 9 q^{17} + 3 q^{18} - 18 q^{19} + q^{20} + 3 q^{21} + 20 q^{22} + q^{23} - 30 q^{24} + 5 q^{25} + 32 q^{26} - 3 q^{27} + 3 q^{28} - 23 q^{29} - 12 q^{30} - q^{31} + 3 q^{32} + 2 q^{33} - 9 q^{34} - q^{35} - 3 q^{36} - q^{37} + 7 q^{38} + 12 q^{39} - q^{40} + 7 q^{41} - 3 q^{42} - 10 q^{43} - 9 q^{44} - 10 q^{45} - q^{46} + 68 q^{47} - 3 q^{48} - 3 q^{49} + 50 q^{50} + 9 q^{51} + q^{52} + 42 q^{53} + 3 q^{54} - 66 q^{55} - 3 q^{56} + 4 q^{57} + q^{58} + 25 q^{59} - 10 q^{60} + 10 q^{61} - 10 q^{62} + 3 q^{63} - 3 q^{64} - 54 q^{65} - 2 q^{66} - 6 q^{67} - 2 q^{68} - 21 q^{69} - 10 q^{70} - 13 q^{71} + 3 q^{72} + 33 q^{73} + q^{74} - 50 q^{75} + 26 q^{76} - 2 q^{77} - 12 q^{78} - 8 q^{79} + q^{80} - 3 q^{81} + 4 q^{82} - 2 q^{83} + 3 q^{84} - 77 q^{85} - 45 q^{86} - q^{87} - 13 q^{88} + 64 q^{89} - q^{90} - 12 q^{91} + 12 q^{92} - 56 q^{93} - 24 q^{94} + 59 q^{95} + 3 q^{96} + 2 q^{97} + 3 q^{98} + 2 q^{99}+O(q^{100}) \) 30 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 10 * q^5 + 3 * q^6 + 3 * q^7 + 3 * q^8 - 3 * q^9 - 12 * q^10 - 9 * q^11 - 3 * q^12 + 12 * q^13 - 3 * q^14 + q^15 - 3 * q^16 + 9 * q^17 + 3 * q^18 - 18 * q^19 + q^20 + 3 * q^21 + 20 * q^22 + q^23 - 30 * q^24 + 5 * q^25 + 32 * q^26 - 3 * q^27 + 3 * q^28 - 23 * q^29 - 12 * q^30 - q^31 + 3 * q^32 + 2 * q^33 - 9 * q^34 - q^35 - 3 * q^36 - q^37 + 7 * q^38 + 12 * q^39 - q^40 + 7 * q^41 - 3 * q^42 - 10 * q^43 - 9 * q^44 - 10 * q^45 - q^46 + 68 * q^47 - 3 * q^48 - 3 * q^49 + 50 * q^50 + 9 * q^51 + q^52 + 42 * q^53 + 3 * q^54 - 66 * q^55 - 3 * q^56 + 4 * q^57 + q^58 + 25 * q^59 - 10 * q^60 + 10 * q^61 - 10 * q^62 + 3 * q^63 - 3 * q^64 - 54 * q^65 - 2 * q^66 - 6 * q^67 - 2 * q^68 - 21 * q^69 - 10 * q^70 - 13 * q^71 + 3 * q^72 + 33 * q^73 + q^74 - 50 * q^75 + 26 * q^76 - 2 * q^77 - 12 * q^78 - 8 * q^79 + q^80 - 3 * q^81 + 4 * q^82 - 2 * q^83 + 3 * q^84 - 77 * q^85 - 45 * q^86 - q^87 - 13 * q^88 + 64 * q^89 - q^90 - 12 * q^91 + 12 * q^92 - 56 * q^93 - 24 * q^94 + 59 * q^95 + 3 * q^96 + 2 * q^97 + 3 * q^98 + 2 * q^99

Introduction

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