LMFDB - Embedded newform 588.2.x.a.55.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 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("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.6
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.17933 - 0.780496i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.781653 + 1.84093i) q^{4} +(-0.352634 + 0.732252i) q^{5} +(0.723898 + 1.21490i) q^{6} +(-1.67777 + 2.04575i) q^{7} +(0.515009 - 2.78114i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.17933 - 0.780496i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.781653 + 1.84093i) q^{4} +(-0.352634 + 0.732252i) q^{5} +(0.723898 + 1.21490i) q^{6} +(-1.67777 + 2.04575i) q^{7} +(0.515009 - 2.78114i) q^{8} +(0.623490 + 0.781831i) q^{9} +(0.987392 - 0.588339i) q^{10} +(-4.18114 - 3.33435i) q^{11} +(0.0945045 - 1.99777i) q^{12} +(-2.39129 - 1.90699i) q^{13} +(3.57535 - 1.10313i) q^{14} +(0.635424 - 0.506734i) q^{15} +(-2.77804 + 2.87793i) q^{16} +(4.70094 + 1.07296i) q^{17} +(-0.125086 - 1.40867i) q^{18} +3.25582 q^{19} +(-1.62366 - 0.0768074i) q^{20} +(2.39923 - 1.11520i) q^{21} +(2.32851 + 7.19567i) q^{22} +(6.97540 - 1.59209i) q^{23} +(-1.67070 + 2.28227i) q^{24} +(2.70561 + 3.39272i) q^{25} +(1.33173 + 4.11536i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-5.07751 - 1.48958i) q^{28} +(1.48125 - 6.48980i) q^{29} +(-1.14488 + 0.101662i) q^{30} +5.96514 q^{31} +(5.52245 - 1.22579i) q^{32} +(2.32036 + 4.81827i) q^{33} +(-4.70653 - 4.93444i) q^{34} +(-0.906368 - 1.94995i) q^{35} +(-0.951944 + 1.75892i) q^{36} +(-0.0195305 + 0.0855689i) q^{37} +(-3.83969 - 2.54115i) q^{38} +(1.32706 + 2.75568i) q^{39} +(1.85489 + 1.35784i) q^{40} +(4.07141 - 8.45438i) q^{41} +(-3.69991 - 0.557396i) q^{42} +(-1.48677 - 3.08732i) q^{43} +(2.87010 - 10.3035i) q^{44} +(-0.792361 + 0.180851i) q^{45} +(-9.46894 - 3.56667i) q^{46} +(-6.06901 + 7.61030i) q^{47} +(3.75161 - 1.38758i) q^{48} +(-1.37020 - 6.86459i) q^{49} +(-0.542805 - 6.11287i) q^{50} +(-3.76986 - 3.00636i) q^{51} +(1.64147 - 5.89279i) q^{52} +(0.103227 + 0.452268i) q^{53} +(-0.498501 + 1.32344i) q^{54} +(3.91599 - 1.88584i) q^{55} +(4.82547 + 5.71969i) q^{56} +(-2.93339 - 1.41265i) q^{57} +(-6.81215 + 6.49752i) q^{58} +(10.6296 - 5.11895i) q^{59} +(1.42954 + 0.773681i) q^{60} +(1.07313 + 0.244934i) q^{61} +(-7.03489 - 4.65577i) q^{62} +(-2.64550 - 0.0362252i) q^{63} +(-7.46953 - 2.86463i) q^{64} +(2.23964 - 1.07855i) q^{65} +(1.02417 - 7.49338i) q^{66} +11.6630i q^{67} +(1.69926 + 9.49277i) q^{68} +(-6.97540 - 1.59209i) q^{69} +(-0.453017 + 3.00705i) q^{70} +(-12.2602 + 2.79831i) q^{71} +(2.49549 - 1.33137i) q^{72} +(6.31682 - 5.03749i) q^{73} +(0.0898191 - 0.0856707i) q^{74} +(-0.965620 - 4.23066i) q^{75} +(2.54492 + 5.99373i) q^{76} +(13.8362 - 2.95932i) q^{77} +(0.585744 - 4.28563i) q^{78} -11.3126i q^{79} +(-1.12774 - 3.04908i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-11.4002 + 6.79280i) q^{82} +(-2.32718 - 2.91819i) q^{83} +(3.92838 + 3.54512i) q^{84} +(-2.44338 + 3.06391i) q^{85} +(-0.656237 + 4.80140i) q^{86} +(-4.15038 + 5.20441i) q^{87} +(-11.4266 + 9.91114i) q^{88} +(11.1742 - 8.91114i) q^{89} +(1.07561 + 0.405151i) q^{90} +(7.91324 - 1.69250i) q^{91} +(8.38326 + 11.5968i) q^{92} +(-5.37441 - 2.58818i) q^{93} +(13.0972 - 4.23824i) q^{94} +(-1.14811 + 2.38408i) q^{95} +(-5.50741 - 1.29170i) q^{96} +2.43970i q^{97} +(-3.74186 + 9.16507i) q^{98} -5.34788i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−1.17933	−	0.780496i	−0.833914	−	0.551894i
$2$	−1.17933	−	0.780496i	−0.833914	−	0.551894i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	0.781653	+	1.84093i	0.390826	+	0.920464i
$5$	−0.352634	+	0.732252i	−0.157703	+	0.327473i	−0.964817	−	0.262922i	$-0.915314\pi$
$5$	−0.352634	+	0.732252i	−0.157703	+	0.327473i	0.807114	+	0.590395i	$0.201028\pi$
$6$	0.723898	+	1.21490i	0.295530	+	0.495979i
$7$	−1.67777	+	2.04575i	−0.634136	+	0.773221i
$7$	−1.67777	+	2.04575i	−0.634136	+	0.773221i
$8$	0.515009	−	2.78114i	0.182083	−	0.983283i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	0.987392	−	0.588339i	0.312241	−	0.186049i
$11$	−4.18114	−	3.33435i	−1.26066	−	1.00534i	−0.999194	−	0.0401314i	$-0.987222\pi$
$11$	−4.18114	−	3.33435i	−1.26066	−	1.00534i	−0.261467	−	0.965212i	$-0.584206\pi$
$12$	0.0945045	−	1.99777i	0.0272811	−	0.576705i
$13$	−2.39129	−	1.90699i	−0.663223	−	0.528903i	0.233017	−	0.972473i	$-0.425140\pi$
$13$	−2.39129	−	1.90699i	−0.663223	−	0.528903i	−0.896240	+	0.443570i	$0.853712\pi$
$14$	3.57535	−	1.10313i	0.955551	−	0.294825i
$15$	0.635424	−	0.506734i	0.164066	−	0.130838i
$16$	−2.77804	+	2.87793i	−0.694510	+	0.719483i
$17$	4.70094	+	1.07296i	1.14014	+	0.260231i	0.750587	−	0.660772i	$-0.229771\pi$
$17$	4.70094	+	1.07296i	1.14014	+	0.260231i	0.389558	+	0.921002i	$0.372628\pi$
$18$	−0.125086	−	1.40867i	−0.0294830	−	0.332027i
$19$	3.25582			0.746936			0.373468	−	0.927643i	$-0.378169\pi$
$19$	3.25582			0.746936			0.373468	+	0.927643i	$0.378169\pi$
$20$	−1.62366	−	0.0768074i	−0.363061	−	0.0171747i
$21$	2.39923	−	1.11520i	0.523556	−	0.243357i
$22$	2.32851	+	7.19567i	0.496440	+	1.53412i
$23$	6.97540	−	1.59209i	1.45447	−	0.331974i	0.579033	−	0.815304i	$-0.303430\pi$
$23$	6.97540	−	1.59209i	1.45447	−	0.331974i	0.875438	+	0.483330i	$0.160573\pi$
$24$	−1.67070	+	2.28227i	−0.341030	+	0.465867i
$25$	2.70561	+	3.39272i	0.541121	+	0.678545i
$26$	1.33173	+	4.11536i	0.261173	+	0.807089i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−5.07751	−	1.48958i	−0.959560	−	0.281504i
$29$	1.48125	−	6.48980i	0.275062	−	1.20513i	−0.628891	−	0.777494i	$-0.716491\pi$
$29$	1.48125	−	6.48980i	0.275062	−	1.20513i	0.903953	−	0.427632i	$-0.140652\pi$
$30$	−1.14488	+	0.101662i	−0.209026	+	0.0185609i
$31$	5.96514			1.07137			0.535686	−	0.844418i	$-0.320053\pi$
$31$	5.96514			1.07137			0.535686	+	0.844418i	$0.320053\pi$
$32$	5.52245	−	1.22579i	0.976240	−	0.216692i
$33$	2.32036	+	4.81827i	0.403922	+	0.838754i
$34$	−4.70653	−	4.93444i	−0.807163	−	0.846249i
$35$	−0.906368	−	1.94995i	−0.153204	−	0.329601i
$36$	−0.951944	+	1.75892i	−0.158657	+	0.293153i
$37$	−0.0195305	+	0.0855689i	−0.00321080	+	0.0140674i	−0.976508	−	0.215481i	$-0.930868\pi$
$37$	−0.0195305	+	0.0855689i	−0.00321080	+	0.0140674i	0.973297	+	0.229549i	$0.0737251\pi$
$38$	−3.83969	−	2.54115i	−0.622880	−	0.412229i
$39$	1.32706	+	2.75568i	0.212500	+	0.441261i
$40$	1.85489	+	1.35784i	0.293284	+	0.214694i
$41$	4.07141	−	8.45438i	0.635848	−	1.32035i	−0.295193	−	0.955438i	$-0.595384\pi$
$41$	4.07141	−	8.45438i	0.635848	−	1.32035i	0.931041	−	0.364914i	$-0.118902\pi$
$42$	−3.69991	−	0.557396i	−0.570908	−	0.0860081i
$43$	−1.48677	−	3.08732i	−0.226731	−	0.470812i	0.756306	−	0.654218i	$-0.227002\pi$
$43$	−1.48677	−	3.08732i	−0.226731	−	0.470812i	−0.983037	+	0.183406i	$0.941288\pi$
$44$	2.87010	−	10.3035i	0.432684	−	1.55331i
$45$	−0.792361	+	0.180851i	−0.118118	+	0.0269597i
$46$	−9.46894	−	3.56667i	−1.39612	−	0.525876i
$47$	−6.06901	+	7.61030i	−0.885257	+	1.11008i	0.108001	+	0.994151i	$0.465555\pi$
$47$	−6.06901	+	7.61030i	−0.885257	+	1.11008i	−0.993258	+	0.115926i	$0.963016\pi$
$48$	3.75161	−	1.38758i	0.541499	−	0.200280i
$49$	−1.37020	−	6.86459i	−0.195743	−	0.980655i
$50$	−0.542805	−	6.11287i	−0.0767642	−	0.864490i
$51$	−3.76986	−	3.00636i	−0.527886	−	0.420975i
$52$	1.64147	−	5.89279i	0.227631	−	0.817183i
$53$	0.103227	+	0.452268i	0.0141794	+	0.0621238i	0.981523	−	0.191346i	$-0.0612853\pi$
$53$	0.103227	+	0.452268i	0.0141794	+	0.0621238i	−0.967343	+	0.253470i	$0.918428\pi$
$54$	−0.498501	+	1.32344i	−0.0678374	+	0.180098i
$55$	3.91599	−	1.88584i	0.528032	−	0.254287i
$56$	4.82547	+	5.71969i	0.644830	+	0.764326i
$57$	−2.93339	−	1.41265i	−0.388537	−	0.187110i
$58$	−6.81215	+	6.49752i	−0.894479	+	0.853166i
$59$	10.6296	−	5.11895i	1.38386	−	0.666431i	0.414040	−	0.910259i	$-0.364117\pi$
$59$	10.6296	−	5.11895i	1.38386	−	0.666431i	0.969819	+	0.243828i	$0.0784032\pi$
$60$	1.42954	+	0.773681i	0.184553	+	0.0998818i
$61$	1.07313	+	0.244934i	0.137400	+	0.0313606i	0.290668	−	0.956824i	$-0.406123\pi$
$61$	1.07313	+	0.244934i	0.137400	+	0.0313606i	−0.153268	+	0.988185i	$0.548980\pi$
$62$	−7.03489	−	4.65577i	−0.893432	−	0.591283i
$63$	−2.64550	−	0.0362252i	−0.333302	−	0.00456395i
$64$	−7.46953	−	2.86463i	−0.933692	−	0.358078i
$65$	2.23964	−	1.07855i	0.277793	−	0.133778i
$66$	1.02417	−	7.49338i	0.126066	−	0.922371i
$67$			11.6630i			1.42486i	0.701742	+	0.712431i	$0.252406\pi$
$67$			11.6630i			1.42486i	−0.701742	+	0.712431i	$0.747594\pi$
$68$	1.69926	+	9.49277i	0.206065	+	1.15117i
$69$	−6.97540	−	1.59209i	−0.839739	−	0.191665i
$70$	−0.453017	+	3.00705i	−0.0541459	+	0.359412i
$71$	−12.2602	+	2.79831i	−1.45502	+	0.332099i	−0.875642	−	0.482961i	$-0.839561\pi$
$71$	−12.2602	+	2.79831i	−1.45502	+	0.332099i	−0.579377	+	0.815060i	$0.696704\pi$
$72$	2.49549	−	1.33137i	0.294096	−	0.156903i
$73$	6.31682	−	5.03749i	0.739327	−	0.589594i	−0.179731	−	0.983716i	$-0.557523\pi$
$73$	6.31682	−	5.03749i	0.739327	−	0.589594i	0.919058	+	0.394122i	$0.128951\pi$
$74$	0.0898191	−	0.0856707i	0.0104413	−	0.00995901i
$75$	−0.965620	−	4.23066i	−0.111500	−	0.488514i
$76$	2.54492	+	5.99373i	0.291922	+	0.687528i
$77$	13.8362	−	2.95932i	1.57678	−	0.337246i
$78$	0.585744	−	4.28563i	0.0663224	−	0.485252i
$79$		−	11.3126i		−	1.27277i	−0.771372	−	0.636384i	$-0.780429\pi$
$79$		−	11.3126i		−	1.27277i	0.771372	−	0.636384i	$-0.219571\pi$
$80$	−1.12774	−	3.04908i	−0.126085	−	0.340898i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	−11.4002	+	6.79280i	−1.25894	+	0.750140i
$83$	−2.32718	−	2.91819i	−0.255441	−	0.320313i	0.637531	−	0.770425i	$-0.279956\pi$
$83$	−2.32718	−	2.91819i	−0.255441	−	0.320313i	−0.892972	+	0.450111i	$0.851384\pi$
$84$	3.92838	+	3.54512i	0.428621	+	0.386804i
$85$	−2.44338	+	3.06391i	−0.265022	+	0.332327i
$86$	−0.656237	+	4.80140i	−0.0707639	+	0.517748i
$87$	−4.15038	+	5.20441i	−0.444968	+	0.557972i
$88$	−11.4266	+	9.91114i	−1.21808	+	1.05653i
$89$	11.1742	−	8.91114i	1.18447	−	0.944579i	0.185192	−	0.982702i	$-0.440709\pi$
$89$	11.1742	−	8.91114i	1.18447	−	0.944579i	0.999273	+	0.0381229i	$0.0121378\pi$
$90$	1.07561	+	0.405151i	0.113379	+	0.0427066i
$91$	7.91324	−	1.69250i	0.829533	−	0.177422i
$92$	8.38326	+	11.5968i	0.874016	+	1.20905i
$93$	−5.37441	−	2.58818i	−0.557300	−	0.268382i
$94$	13.0972	−	4.23824i	1.35087	−	0.437141i
$95$	−1.14811	+	2.38408i	−0.117794	+	0.244601i
$96$	−5.50741	−	1.29170i	−0.562097	−	0.131833i
$97$			2.43970i			0.247714i	0.992300	+	0.123857i	$0.0395263\pi$
$97$			2.43970i			0.247714i	−0.992300	+	0.123857i	$0.960474\pi$
$98$	−3.74186	+	9.16507i	−0.377985	+	0.925812i
$99$		−	5.34788i		−	0.537482i
$100$	−4.13092	+	7.63276i	−0.413092	+	0.763276i
$101$	0.0396932	−	0.0824238i	0.00394962	−	0.00820147i	−0.898985	−	0.437980i	$-0.855694\pi$
$101$	0.0396932	−	0.0824238i	0.00394962	−	0.00820147i	0.902934	+	0.429779i	$0.141408\pi$
$102$	2.09947	+	6.48786i	0.207878	+	0.642394i
$103$	6.96428	+	3.35382i	0.686211	+	0.330462i	0.744296	−	0.667850i	$-0.232785\pi$
$103$	6.96428	+	3.35382i	0.686211	+	0.330462i	−0.0580853	+	0.998312i	$0.518500\pi$
$104$	−6.53514	+	5.66840i	−0.640823	+	0.555832i
$105$	−0.0294416	+	2.15010i	−0.00287321	+	0.209828i
$106$	0.231254	−	0.613943i	0.0224614	−	0.0596314i
$107$	7.12113	−	5.67891i	0.688425	−	0.549001i	−0.215599	−	0.976482i	$-0.569170\pi$
$107$	7.12113	−	5.67891i	0.688425	−	0.549001i	0.904024	+	0.427481i	$0.140599\pi$
$108$	1.62084	−	1.17170i	0.155965	−	0.112747i
$109$	−3.62322	+	4.54337i	−0.347041	+	0.435176i	−0.924464	−	0.381269i	$-0.875487\pi$
$109$	−3.62322	+	4.54337i	−0.347041	+	0.435176i	0.577423	+	0.816445i	$0.304058\pi$
$110$	−6.09015	−	0.832380i	−0.580673	−	0.0793643i
$111$	0.0547233	−	0.0686209i	0.00519411	−	0.00651321i
$112$	−1.22664	−	10.5117i	−0.115906	−	0.993260i
$113$	−6.00779	−	7.53353i	−0.565165	−	0.708695i	0.414338	−	0.910123i	$-0.364013\pi$
$113$	−6.00779	−	7.53353i	−0.565165	−	0.708695i	−0.979503	+	0.201428i	$0.935442\pi$
$114$	2.35688	+	3.95548i	0.220742	+	0.370464i
$115$	−1.29395	+	5.66917i	−0.120662	+	0.528653i
$116$	13.1051	−	2.34588i	1.21678	−	0.217810i
$117$		−	3.05857i		−	0.282765i
$118$	−16.5312	−	2.25942i	−1.52182	−	0.207997i
$119$	−10.0821	+	7.81678i	−0.924223	+	0.716563i
$120$	−1.08205	−	2.02818i	−0.0987773	−	0.185147i
$121$	3.91633	+	17.1586i	0.356030	+	1.55987i
$122$	−1.07440	−	1.12643i	−0.0972720	−	0.101982i
$123$	−7.33643	+	5.85061i	−0.661504	+	0.527532i
$124$	4.66267	+	10.9814i	0.418720	+	0.986159i
$125$	−7.40022	+	1.68905i	−0.661896	+	0.151073i
$126$	3.09166	+	2.10753i	0.275427	+	0.187753i
$127$	−6.73636	−	1.53753i	−0.597755	−	0.136434i	−0.0870711	−	0.996202i	$-0.527751\pi$
$127$	−6.73636	−	1.53753i	−0.597755	−	0.136434i	−0.510684	+	0.859768i	$0.670608\pi$
$128$	6.57324	+	9.20829i	0.580997	+	0.813905i
$129$			3.42667i			0.301701i
$130$	−3.48309	−	0.476056i	−0.305487	−	0.0417529i
$131$	0.909691	−	0.438084i	0.0794801	−	0.0382756i	−0.393721	−	0.919230i	$-0.628813\pi$
$131$	0.909691	−	0.438084i	0.0794801	−	0.0382756i	0.473202	+	0.880954i	$0.343098\pi$
$132$	−7.05638	+	8.03783i	−0.614179	+	0.699603i
$133$	−5.46250	+	6.66059i	−0.473659	+	0.577547i
$134$	9.10292	−	13.7546i	0.786372	−	1.18821i
$135$	0.792361	+	0.180851i	0.0681956	+	0.0155652i
$136$	5.40508	−	12.5214i	0.463481	−	1.07370i
$137$	−3.92780	+	1.89153i	−0.335574	+	0.161604i	−0.594081	−	0.804406i	$-0.702484\pi$
$137$	−3.92780	+	1.89153i	−0.335574	+	0.161604i	0.258506	+	0.966010i	$0.416770\pi$
$138$	6.98370	+	7.32187i	0.594492	+	0.623279i
$139$	8.90127	+	4.28663i	0.754996	+	0.363587i	0.771460	−	0.636278i	$-0.219527\pi$
$139$	8.90127	+	4.28663i	0.754996	+	0.363587i	−0.0164643	+	0.999864i	$0.505241\pi$
$140$	2.88125	−	3.19274i	0.243510	−	0.269836i
$141$	8.76998	−	4.22340i	0.738566	−	0.355674i
$142$	16.6429	+	6.26890i	1.39664	+	0.526074i
$143$	3.63974	+	15.9468i	0.304371	+	1.33353i
$144$	−3.98214	−	0.377596i	−0.331845	−	0.0314663i
$145$	4.22983	+	3.37317i	0.351268	+	0.280127i
$146$	−11.3814	+	1.01063i	−0.941929	+	0.0836405i
$147$	−1.74392	+	6.77929i	−0.143836	+	0.559146i
$148$	−0.172792	+	0.0309308i	−0.0142034	+	0.00254250i
$149$	−12.9252	+	16.2077i	−1.05888	+	1.32779i	−0.116517	+	0.993189i	$0.537173\pi$
$149$	−12.9252	+	16.2077i	−1.05888	+	1.32779i	−0.942360	+	0.334601i	$0.891398\pi$
$150$	−2.16322	+	5.74302i	−0.176626	+	0.468915i
$151$	18.7691	−	4.28394i	1.52741	−	0.348622i	0.625390	−	0.780312i	$-0.284940\pi$
$151$	18.7691	−	4.28394i	1.52741	−	0.348622i	0.902022	+	0.431691i	$0.142083\pi$
$152$	1.67677	−	9.05490i	0.136004	−	0.734449i
$153$	2.09211	+	4.34432i	0.169137	+	0.351217i
$154$	−18.6273	−	7.30909i	−1.50103	−	0.588984i
$155$	−2.10351	+	4.36799i	−0.168958	+	0.350845i
$156$	−4.03570	+	4.59701i	−0.323115	+	0.368055i
$157$	−4.82356	−	10.0162i	−0.384962	−	0.799382i	−0.999941	−	0.0108390i	$-0.996550\pi$
$157$	−4.82356	−	10.0162i	−0.384962	−	0.799382i	0.614979	−	0.788544i	$-0.289164\pi$
$158$	−8.82944	+	13.3413i	−0.702433	+	1.06138i
$159$	0.103227	−	0.452268i	0.00818645	−	0.0358672i
$160$	−1.04981	+	4.47608i	−0.0829949	+	0.353865i
$161$	−8.44607	+	16.9411i	−0.665644	+	1.33514i
$162$	1.02335	−	0.976088i	0.0804022	−	0.0766887i
$163$	2.43516	+	5.05666i	0.190737	+	0.396069i	0.974304	−	0.225239i	$-0.0723162\pi$
$163$	2.43516	+	5.05666i	0.190737	+	0.396069i	−0.783567	+	0.621307i	$0.786602\pi$
$164$	18.7463	+	0.886797i	1.46384	+	0.0692472i
$165$	−4.34642			−0.338369
$166$	0.466884	+	5.25788i	0.0362372	+	0.408090i
$167$	−3.73363	+	16.3581i	−0.288917	+	1.26583i	0.597096	+	0.802170i	$0.296321\pi$
$167$	−3.73363	+	16.3581i	−0.288917	+	1.26583i	−0.886013	+	0.463660i	$0.846536\pi$
$168$	−1.86591	−	7.24696i	−0.143958	−	0.559115i
$169$	−0.811124	−	3.55376i	−0.0623941	−	0.273367i
$170$	5.27293	−	1.70632i	0.404415	−	0.130868i
$171$	2.02997	+	2.54550i	0.155236	+	0.194659i
$172$	4.52139	−	5.15026i	0.344753	−	0.392703i
$173$	5.67337	−	1.29491i	0.431338	−	0.0984502i	−0.00133878	−	0.999999i	$-0.500426\pi$
$173$	5.67337	−	1.29491i	0.431338	−	0.0984502i	0.432677	+	0.901549i	$0.357569\pi$
$174$	8.95671	−	2.89838i	0.679006	−	0.219726i
$175$	−11.4800	−	0.157198i	−0.867810	−	0.0118830i
$176$	21.2114	−	2.77010i	1.59887	−	0.208804i
$177$	−11.7980			−0.886791
$178$	−20.1332	+	1.78777i	−1.50905	+	0.133999i
$179$	−24.1942	−	5.52217i	−1.80836	−	0.412746i	−0.820959	−	0.570987i	$-0.806561\pi$
$179$	−24.1942	−	5.52217i	−1.80836	−	0.412746i	−0.987401	+	0.158241i	$0.949418\pi$
$180$	−0.952285	−	1.31732i	−0.0709791	−	0.0981870i
$181$	19.5316	−	15.5759i	1.45177	−	1.15775i	0.494270	−	0.869308i	$-0.335435\pi$
$181$	19.5316	−	15.5759i	1.45177	−	1.15775i	0.957498	−	0.288439i	$-0.0931362\pi$
$182$	−10.6533	−	4.18023i	−0.789678	−	0.309859i
$183$	−0.860581	−	0.686291i	−0.0636160	−	0.0507321i
$184$	−0.835440	−	20.2195i	−0.0615894	−	1.49060i
$185$	−0.0557708	−	0.0444757i	−0.00410035	−	0.00326992i
$186$	4.31815	+	7.24703i	0.316622	+	0.531378i
$187$	−16.0777	−	20.1607i	−1.17572	−	1.47430i
$188$	−18.7539	−	5.22401i	−1.36777	−	0.381000i
$189$	2.36780	+	1.18048i	0.172232	+	0.0858672i
$190$	3.21477	−	1.91552i	0.233224	−	0.138967i
$191$	2.72055	−	5.64928i	0.196852	−	0.408767i	−0.779055	−	0.626956i	$-0.784301\pi$
$191$	2.72055	−	5.64928i	0.196852	−	0.408767i	0.975907	+	0.218189i	$0.0700148\pi$
$192$	5.48690	+	5.82185i	0.395983	+	0.420156i
$193$	−11.0338	−	5.31360i	−0.794230	−	0.382481i	−0.00765113	−	0.999971i	$-0.502435\pi$
$193$	−11.0338	−	5.31360i	−0.794230	−	0.382481i	−0.786579	+	0.617490i	$0.788150\pi$
$194$	1.90417	−	2.87721i	0.136712	−	0.206572i
$195$	−2.48582			−0.178013
$196$	11.5662	−	7.88816i	0.826157	−	0.563440i
$197$	7.40298			0.527441			0.263720	−	0.964599i	$-0.415050\pi$
$197$	7.40298			0.527441			0.263720	+	0.964599i	$0.415050\pi$
$198$	−4.17400	+	6.30693i	−0.296633	+	0.448214i
$199$	16.1450	+	7.77500i	1.14449	+	0.551155i	0.907373	−	0.420327i	$-0.138085\pi$
$199$	16.1450	+	7.77500i	1.14449	+	0.551155i	0.237113	+	0.971482i	$0.423799\pi$
$200$	10.8291	−	5.77740i	0.765731	−	0.408524i
$201$	5.06038	−	10.5080i	0.356932	−	0.741177i
$202$	−0.111143	+	0.0662247i	−0.00781999	+	0.00465955i
$203$	10.7913	+	13.9186i	0.757402	+	0.976897i
$204$	2.58778	−	9.28997i	0.181181	−	0.650428i
$205$	4.75501	+	5.96260i	0.332104	+	0.416446i
$206$	−5.59556	−	9.39086i	−0.389861	−	0.654292i
$207$	5.59384	+	4.46094i	0.388798	+	0.310056i
$208$	12.1313	−	1.58428i	0.841152	−	0.109850i
$209$	−13.6130	−	10.8560i	−0.941633	−	0.750927i
$210$	1.71287	−	2.51271i	0.118199	−	0.173393i
$211$	16.3799	−	13.0625i	1.12764	−	0.899260i	0.131878	−	0.991266i	$-0.457899\pi$
$211$	16.3799	−	13.0625i	1.12764	−	0.899260i	0.995758	+	0.0920059i	$0.0293279\pi$
$212$	−0.751906	+	0.543551i	−0.0516411	+	0.0373312i
$213$	12.2602	+	2.79831i	0.840056	+	0.191737i
$214$	−12.8305	+	1.13932i	−0.877078	+	0.0778820i
$215$	2.78498			0.189934
$216$	−2.82602	+	0.116767i	−0.192286	+	0.00794496i
$217$	−10.0081	+	12.2032i	−0.679395	+	0.828407i
$218$	7.81906	−	2.53024i	0.529574	−	0.171370i
$219$	−7.87694	+	1.79786i	−0.532274	+	0.121488i
$220$	6.53265	+	5.73499i	0.440431	+	0.386653i
$221$	−9.19517	−	11.5304i	−0.618534	−	0.775617i
$222$	−0.118095	+	0.0382156i	−0.00792604	+	0.00256486i
$223$	−0.357733	−	1.56733i	−0.0239556	−	0.104956i	0.961537	−	0.274676i	$-0.0885707\pi$
$223$	−0.357733	−	1.56733i	−0.0239556	−	0.104956i	−0.985492	+	0.169720i	$0.945714\pi$
$224$	−6.75771	+	13.3542i	−0.451518	+	0.892262i
$225$	−0.965620	+	4.23066i	−0.0643747	+	0.282044i
$226$	1.20530	+	13.5736i	0.0801751	+	0.902902i
$227$	−15.8401			−1.05135			−0.525673	−	0.850687i	$-0.676186\pi$
$227$	−15.8401			−1.05135			−0.525673	+	0.850687i	$0.676186\pi$
$228$	0.307689	−	6.50436i	0.0203772	−	0.430762i
$229$	5.10588	+	10.6025i	0.337406	+	0.700631i	0.998778	−	0.0494274i	$-0.0157396\pi$
$229$	5.10588	+	10.6025i	0.337406	+	0.700631i	−0.661372	+	0.750058i	$0.730025\pi$
$230$	5.95077	−	5.67592i	0.392382	−	0.374259i
$231$	−13.7500	−	3.33706i	−0.904684	−	0.219562i
$232$	−17.2862	−	7.46189i	−1.13490	−	0.489897i
$233$	−0.732874	+	3.21093i	−0.0480122	+	0.210355i	−0.993244	−	0.116045i	$-0.962978\pi$
$233$	−0.732874	+	3.21093i	−0.0480122	+	0.210355i	0.945232	+	0.326400i	$0.105836\pi$
$234$	−2.38720	+	3.60707i	−0.156056	+	0.235802i
$235$	−3.43252	−	7.12770i	−0.223913	−	0.464960i
$236$	17.7323	+	15.5671i	1.15427	+	1.01333i
$237$	−4.90836	+	10.1923i	−0.318832	+	0.662062i
$238$	17.9911	−	1.34956i	1.16619	−	0.0874791i
$239$	−5.20667	−	10.8118i	−0.336791	−	0.699355i	0.661948	−	0.749550i	$-0.269730\pi$
$239$	−5.20667	−	10.8118i	−0.336791	−	0.699355i	−0.998739	+	0.0501951i	$0.984016\pi$
$240$	−0.306886	+	3.23643i	−0.0198094	+	0.208911i
$241$	−12.0733	+	2.75565i	−0.777708	+	0.177507i	−0.592909	−	0.805270i	$-0.702021\pi$
$241$	−12.0733	+	2.75565i	−0.777708	+	0.177507i	−0.184799	+	0.982776i	$0.559163\pi$
$242$	8.77352	−	23.2923i	0.563983	−	1.49729i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	0.387906	+	2.16700i	0.0248331	+	0.138728i
$245$	5.50978	+	1.41735i	0.352007	+	0.0905514i
$246$	13.2185	−	1.17376i	0.842779	−	0.0748363i
$247$	−7.78559	−	6.20880i	−0.495385	−	0.395056i
$248$	3.07210	−	16.5899i	0.195079	−	1.05346i
$249$	0.830561	+	3.63893i	0.0526347	+	0.230608i
$250$	10.0456	+	3.78389i	0.635341	+	0.239314i
$251$	21.4721	−	10.3404i	1.35531	−	0.652682i	0.391723	−	0.920083i	$-0.371879\pi$
$251$	21.4721	−	10.3404i	1.35531	−	0.652682i	0.963585	+	0.267401i	$0.0861650\pi$
$252$	−2.00118	−	4.89850i	−0.126062	−	0.308576i
$253$	−34.4737	−	16.6017i	−2.16734	−	1.04374i
$254$	6.74438	+	7.07096i	0.423180	+	0.443672i
$255$	3.53079	−	1.70034i	0.221107	−	0.106479i
$256$	−0.565003	−	15.9900i	−0.0353127	−	0.999376i
$257$	7.92704	+	1.80929i	0.494475	+	0.112861i	0.462484	−	0.886627i	$-0.346958\pi$
$257$	7.92704	+	1.80929i	0.494475	+	0.112861i	0.0319908	+	0.999488i	$0.489815\pi$
$258$	2.67450	−	4.04118i	0.166507	−	0.251593i
$259$	−0.142285	−	0.183519i	−0.00884116	−	0.0114033i
$260$	3.73616	+	3.27997i	0.231707	+	0.203415i
$261$	5.99748	−	2.88823i	0.371234	−	0.178777i
$262$	−1.41475	−	0.193363i	−0.0874037	−	0.0119460i
$263$		−	7.29638i		−	0.449914i	−0.974369	−	0.224957i	$-0.927776\pi$
$263$		−	7.29638i		−	0.449914i	0.974369	−	0.224957i	$-0.0722242\pi$
$264$	14.5953	−	3.97180i	0.898280	−	0.244447i
$265$	−0.367576	−	0.0838967i	−0.0225800	−	0.00515373i
$266$	11.6407	−	3.59160i	0.713735	−	0.220215i
$267$	−13.9340	+	3.18035i	−0.852749	+	0.194634i
$268$	−21.4707	+	9.11641i	−1.31153	+	0.556873i
$269$	−11.8770	+	9.47158i	−0.724153	+	0.577492i	−0.914675	−	0.404190i	$-0.867553\pi$
$269$	−11.8770	+	9.47158i	−0.724153	+	0.577492i	0.190522	+	0.981683i	$0.438982\pi$
$270$	−0.793304	−	0.831718i	−0.0482789	−	0.0506168i
$271$	0.396808	+	1.73853i	0.0241044	+	0.105608i	0.985549	−	0.169390i	$-0.0541798\pi$
$271$	0.396808	+	1.73853i	0.0241044	+	0.105608i	−0.961445	+	0.274998i	$0.911323\pi$
$272$	−16.1473	+	10.5483i	−0.979073	+	0.639582i
$273$	−7.86393	−	1.90854i	−0.475947	−	0.115510i
$274$	6.10851	+	0.834888i	0.369028	+	0.0504374i
$275$		−	23.2069i		−	1.39943i
$276$	−2.52142	−	14.0857i	−0.151771	−	0.847858i
$277$	−3.02686	+	13.2616i	−0.181867	+	0.796810i	0.798875	+	0.601498i	$0.205429\pi$
$277$	−3.02686	+	13.2616i	−0.181867	+	0.796810i	−0.980741	+	0.195312i	$0.937428\pi$
$278$	−7.15187	−	12.0028i	−0.428941	−	0.719878i
$279$	3.71921	+	4.66374i	0.222663	+	0.279211i
$280$	−5.88988	+	1.51650i	−0.351987	+	0.0906282i
$281$	−8.65743	+	10.8561i	−0.516459	+	0.647619i	−0.969853	−	0.243691i	$-0.921642\pi$
$281$	−8.65743	+	10.8561i	−0.516459	+	0.647619i	0.453394	+	0.891310i	$0.350213\pi$
$282$	−13.6391	−	1.86414i	−0.812195	−	0.111008i
$283$	11.8650	−	14.8782i	0.705298	−	0.884416i	−0.292109	−	0.956385i	$-0.594357\pi$
$283$	11.8650	−	14.8782i	0.705298	−	0.884416i	0.997407	+	0.0719691i	$0.0229283\pi$
$284$	−14.7347	−	20.3829i	−0.874345	−	1.20950i
$285$	2.06882	−	1.64983i	0.122547	−	0.0977276i
$286$	8.15391	−	21.6473i	0.482151	−	1.28003i
$287$	10.4647	+	22.5136i	0.617710	+	1.32893i
$288$	4.40155	+	3.55335i	0.259364	+	0.209383i
$289$	5.63110	+	2.71179i	0.331241	+	0.159517i
$290$	−2.35563	−	7.27946i	−0.138327	−	0.427464i
$291$	1.05854	−	2.19809i	0.0620530	−	0.128854i
$292$	14.2112	+	7.69124i	0.831649	+	0.450096i
$293$			23.3634i			1.36490i	0.730930	+	0.682452i	$0.239086\pi$
$293$			23.3634i			1.36490i	−0.730930	+	0.682452i	$0.760914\pi$
$294$	7.34787	−	6.63391i	0.428537	−	0.386897i
$295$			9.58867i			0.558274i
$296$	0.227921	+	0.0983860i	0.0132476	+	0.00571857i
$297$	−2.32036	+	4.81827i	−0.134641	+	0.279585i
$298$	27.8932	−	9.02623i	1.61581	−	0.522875i
$299$	−19.7163	−	9.49485i	−1.14022	−	0.549102i
$300$	7.03356	−	5.08454i	0.406083	−	0.293556i
$301$	8.81035	+	2.13823i	0.507820	+	0.123245i
$302$	−25.4787	−	9.59706i	−1.46613	−	0.552248i
$303$	−0.0715247	+	0.0570390i	−0.00410899	+	0.00327681i
$304$	−9.04478	+	9.37002i	−0.518754	+	0.537408i
$305$	−0.557774	+	0.699427i	−0.0319381	+	0.0400491i
$306$	0.923424	−	6.75628i	0.0527886	−	0.386231i
$307$	15.3205	−	19.2114i	0.874390	−	1.09645i	−0.120218	−	0.992747i	$-0.538360\pi$
$307$	15.3205	−	19.2114i	0.874390	−	1.09645i	0.994608	−	0.103703i	$-0.0330691\pi$
$308$	16.2630	+	23.1583i	0.926671	+	1.31957i
$309$	−4.81943	−	6.04337i	−0.274168	−	0.343795i
$310$	5.88993	−	3.50953i	0.334526	−	0.199328i
$311$	3.60727	−	15.8045i	0.204550	−	0.896190i	−0.763575	−	0.645720i	$-0.776558\pi$
$311$	3.60727	−	15.8045i	0.204550	−	0.896190i	0.968124	−	0.250471i	$-0.0805853\pi$
$312$	8.34738	−	2.27156i	0.472577	−	0.128602i
$313$			10.0175i			0.566221i	0.959087	+	0.283111i	$0.0913664\pi$
$313$			10.0175i			0.566221i	−0.959087	+	0.283111i	$0.908634\pi$
$314$	−2.12904	+	15.5772i	−0.120149	+	0.879075i
$315$	0.959420	−	1.92440i	0.0540572	−	0.108428i
$316$	20.8257	−	8.84253i	1.17154	−	0.497431i
$317$	−0.497043	−	2.17769i	−0.0279167	−	0.122311i	0.959050	−	0.283238i	$-0.0914087\pi$
$317$	−0.497043	−	2.17769i	−0.0279167	−	0.122311i	−0.986966	+	0.160927i	$0.948552\pi$
$318$	−0.474733	+	0.452806i	−0.0266217	+	0.0253921i
$319$	−27.8326	+	22.1957i	−1.55833	+	1.24272i
$320$	4.73164	−	4.45941i	0.264507	−	0.249289i
$321$	−8.87990	+	2.02678i	−0.495628	+	0.113124i
$322$	23.1832	−	13.3871i	1.29195	−	0.746032i
$323$	15.3054	+	3.49335i	0.851615	+	0.194375i
$324$	−1.96871	+	0.352410i	−0.109373	+	0.0195783i
$325$		−	13.2725i		−	0.736227i
$326$	1.07484	−	7.86412i	0.0595299	−	0.435554i
$327$	5.23570	−	2.52138i	0.289535	−	0.139433i
$328$	−21.4160	−	15.6773i	−1.18250	−	0.865632i
$329$	−5.38640	−	25.1840i	−0.296962	−	1.38844i
$330$	5.12588	+	3.39237i	0.282171	+	0.186744i
$331$	20.4845	+	4.67545i	1.12593	+	0.256986i	0.744638	−	0.667469i	$-0.232622\pi$
$331$	20.4845	+	4.67545i	1.12593	+	0.256986i	0.381291	+	0.924455i	$0.375479\pi$
$332$	3.55314	−	6.56519i	0.195004	−	0.360311i
$333$	−0.0790775	+	0.0380817i	−0.00433342	+	0.00208687i
$334$	17.1706	−	16.3776i	0.939536	−	0.896142i
$335$	−8.54025	−	4.11277i	−0.466603	−	0.224704i
$336$	−3.45568	+	10.0029i	−0.188523	+	0.545704i
$337$	26.6582	−	12.8379i	1.45217	−	0.699326i	0.469196	−	0.883094i	$-0.344544\pi$
$337$	26.6582	−	12.8379i	1.45217	−	0.699326i	0.982970	+	0.183768i	$0.0588296\pi$
$338$	−1.81711	+	4.82415i	−0.0988380	+	0.262399i
$339$	2.14416	+	9.39416i	0.116455	+	0.510221i
$340$	−7.55031	−	2.10319i	−0.409473	−	0.114061i
$341$	−24.9411	−	19.8899i	−1.35064	−	1.07710i
$342$	−0.407257	−	4.58637i	−0.0220219	−	0.248003i
$343$	16.3421	+	8.71408i	0.882391	+	0.470516i
$344$	−9.35198	+	2.54494i	−0.504225	+	0.137214i
$345$	3.62557	−	4.54632i	0.195194	−	0.244766i
$346$	−7.70146	−	2.90091i	−0.414033	−	0.155954i
$347$	−2.31982	+	0.529483i	−0.124534	+	0.0284241i	−0.284334	−	0.958725i	$-0.591772\pi$
$347$	−2.31982	+	0.529483i	−0.124534	+	0.0284241i	0.159799	+	0.987149i	$0.448915\pi$
$348$	−12.8251	−	3.57251i	−0.687498	−	0.191507i
$349$	−7.72532	−	16.0418i	−0.413527	−	0.858698i	−0.998852	−	0.0478990i	$-0.984747\pi$
$349$	−7.72532	−	16.0418i	−0.413527	−	0.858698i	0.585325	−	0.810799i	$-0.300967\pi$
$350$	13.4161	+	9.14552i	0.717121	+	0.488848i
$351$	−1.32706	+	2.75568i	−0.0708334	+	0.147087i
$352$	−27.1774	−	13.2885i	−1.44856	−	0.708282i
$353$	7.20319	+	14.9576i	0.383387	+	0.796111i	0.999961	+	0.00881439i	$0.00280575\pi$
$353$	7.20319	+	14.9576i	0.383387	+	0.796111i	−0.616574	+	0.787297i	$0.711480\pi$
$354$	13.9138	+	9.20828i	0.739508	+	0.489414i
$355$	2.27430	−	9.96434i	0.120707	−	0.528852i
$356$	25.1391	+	13.6055i	1.33237	+	0.721092i
$357$	12.4752	−	2.66822i	0.660258	−	0.141217i
$358$	24.2230	+	25.3959i	1.28022	+	1.34222i
$359$	3.77801	+	7.84512i	0.199396	+	0.414049i	0.976559	−	0.215249i	$-0.0690564\pi$
$359$	3.77801	+	7.84512i	0.199396	+	0.414049i	−0.777163	+	0.629299i	$0.783342\pi$
$360$	0.0949006	+	2.29681i	0.00500170	+	0.121053i
$361$	−8.39966			−0.442087
$362$	−35.1911	+	3.12487i	−1.84960	+	0.164239i
$363$	3.91633	−	17.1586i	0.205554	−	0.900590i
$364$	9.30117	+	13.2448i	0.487514	+	0.694214i
$365$	1.46119	+	6.40189i	0.0764821	+	0.335090i
$366$	0.479265	+	1.48105i	0.0250516	+	0.0774155i
$367$	18.4329	+	23.1141i	0.962188	+	1.20655i	0.978409	+	0.206678i	$0.0662651\pi$
$367$	18.4329	+	23.1141i	0.962188	+	1.20655i	−0.0162207	+	0.999868i	$0.505163\pi$
$368$	−14.7960	+	24.4976i	−0.771295	+	1.27703i
$369$	9.14838	−	2.08806i	0.476246	−	0.108700i
$370$	0.0310592	+	0.0959806i	0.00161469	+	0.00498979i
$371$	−1.09842	−	0.547623i	−0.0570271	−	0.0284312i
$372$	0.563733	−	11.9170i	0.0292282	−	0.617866i
$373$	13.2134			0.684162			0.342081	−	0.939670i	$-0.388868\pi$
$373$	13.2134			0.684162			0.342081	+	0.939670i	$0.388868\pi$
$374$	3.22554	+	36.3248i	0.166788	+	1.87831i
$375$	7.40022	+	1.68905i	0.382146	+	0.0872223i
$376$	18.0398	+	20.7982i	0.930330	+	1.07258i
$377$	−15.9181	+	12.6942i	−0.819822	+	0.653786i
$378$	−1.87106	−	3.24023i	−0.0962372	−	0.166660i
$379$	−27.3545	−	21.8145i	−1.40511	−	1.12054i	−0.976122	−	0.217224i	$-0.930300\pi$
$379$	−27.3545	−	21.8145i	−1.40511	−	1.12054i	−0.428986	−	0.903311i	$-0.641129\pi$
$380$	−5.28634	−	0.250071i	−0.271184	−	0.0128284i
$381$	5.40214	+	4.30806i	0.276760	+	0.220709i
$382$	−7.61767	+	4.53900i	−0.389754	+	0.232236i
$383$	−17.2266	−	21.6015i	−0.880237	−	1.10378i	−0.993902	−	0.110263i	$-0.964831\pi$
$383$	−17.2266	−	21.6015i	−0.880237	−	1.10378i	0.113665	−	0.993519i	$-0.463741\pi$
$384$	−1.92695	−	11.1484i	−0.0983345	−	0.568914i
$385$	−2.71216	+	11.1752i	−0.138224	+	0.569539i
$386$	8.86528	+	14.8783i	0.451231	+	0.757287i
$387$	1.48677	−	3.08732i	0.0755770	−	0.156937i
$388$	−4.49131	+	1.90699i	−0.228012	+	0.0968130i
$389$	11.7109	+	5.63969i	0.593768	+	0.285943i	0.706535	−	0.707678i	$-0.250257\pi$
$389$	11.7109	+	5.63969i	0.593768	+	0.285943i	−0.112767	+	0.993621i	$0.535972\pi$
$390$	2.93160	+	1.94017i	0.148448	+	0.0982442i
$391$	34.4992			1.74470
$392$	−19.7971	+	0.275403i	−0.999903	+	0.0139100i
$393$	−1.00968			−0.0509317
$394$	−8.73058	−	5.77800i	−0.439840	−	0.291091i
$395$	8.28368	+	3.98921i	0.416797	+	0.200719i
$396$	9.84507	−	4.18018i	0.494733	−	0.210062i
$397$	−7.72564	+	16.0425i	−0.387739	+	0.805148i	0.612157	+	0.790736i	$0.290302\pi$
$397$	−7.72564	+	16.0425i	−0.387739	+	0.805148i	−0.999896	+	0.0144122i	$0.995412\pi$
$398$	−12.9719	−	21.7704i	−0.650224	−	1.09125i
$399$	7.81146	−	3.63090i	0.391062	−	0.181772i
$400$	−17.2803	−	1.63856i	−0.864016	−	0.0819280i
$401$	−7.60333	−	9.53427i	−0.379692	−	0.476119i	0.554861	−	0.831943i	$-0.312772\pi$
$401$	−7.60333	−	9.53427i	−0.379692	−	0.476119i	−0.934553	+	0.355825i	$0.884200\pi$
$402$	−14.1693	+	8.44282i	−0.706702	+	0.421089i
$403$	−14.2644	−	11.3754i	−0.710558	−	0.566651i
$404$	0.182763	+	0.00864560i	0.00909278	+	0.000430135i
$405$	−0.635424	−	0.506734i	−0.0315745	−	0.0251798i
$406$	−1.86311	−	24.8373i	−0.0924648	−	1.23265i
$407$	0.366976	−	0.292654i	0.0181903	−	0.0145063i
$408$	−10.3026	+	8.93622i	−0.510057	+	0.442409i
$409$	2.84426	+	0.649183i	0.140639	+	0.0321000i	0.292261	−	0.956339i	$-0.405592\pi$
$409$	2.84426	+	0.649183i	0.140639	+	0.0321000i	−0.151622	+	0.988439i	$0.548450\pi$
$410$	−0.953961	−	10.7432i	−0.0471128	−	0.530567i
$411$	4.35952			0.215039
$412$	−0.730498	+	15.4423i	−0.0359890	+	0.760785i
$413$	−7.36190	+	30.3340i	−0.362256	+	1.49264i
$414$	−3.11525	−	9.62689i	−0.153106	−	0.473136i
$415$	2.95749	−	0.675029i	0.145178	−	0.0331359i
$416$	−15.5433	−	7.60001i	−0.762074	−	0.372621i
$417$	−6.15987	−	7.72423i	−0.301650	−	0.378257i
$418$	7.58121	+	23.4278i	0.370809	+	1.14589i
$419$	0.0218063	+	0.0955395i	0.00106531	+	0.00466741i	0.975458	−	0.220187i	$-0.0706666\pi$
$419$	0.0218063	+	0.0955395i	0.00106531	+	0.00466741i	−0.974392	+	0.224854i	$0.927809\pi$
$420$	−3.98120	+	1.62643i	−0.194262	+	0.0793618i
$421$	3.51499	−	15.4002i	0.171310	−	0.750558i	−0.814151	−	0.580654i	$-0.802797\pi$
$421$	3.51499	−	15.4002i	0.171310	−	0.750558i	0.985461	−	0.169904i	$-0.0543459\pi$
$422$	−29.5125	+	2.62063i	−1.43665	+	0.127570i
$423$	−9.73394			−0.473281
$424$	1.31099	−	0.0541679i	0.0636671	−	0.00263063i
$425$	9.07864	+	18.8520i	0.440379	+	0.914456i
$426$	−12.2748	−	12.8692i	−0.594716	−	0.623514i
$427$	−2.30153	+	1.78441i	−0.111379	+	0.0863536i
$428$	16.0207	+	8.67055i	0.774391	+	0.419107i
$429$	3.63974	−	15.9468i	0.175728	−	0.769917i
$430$	−3.28442	−	2.17367i	−0.158389	−	0.104824i
$431$	2.27433	+	4.72270i	0.109551	+	0.227484i	0.948536	−	0.316670i	$-0.102565\pi$
$431$	2.27433	+	4.72270i	0.109551	+	0.227484i	−0.838985	+	0.544155i	$0.816851\pi$
$432$	3.42395	+	2.06799i	0.164735	+	0.0994961i
$433$	−5.47037	+	11.3593i	−0.262889	+	0.545896i	−0.990074	−	0.140546i	$-0.955114\pi$
$433$	−5.47037	+	11.3593i	−0.262889	+	0.545896i	0.727185	+	0.686442i	$0.240828\pi$
$434$	21.3274	−	6.58034i	1.02375	−	0.315867i
$435$	−2.34738	−	4.87438i	−0.112548	−	0.233708i
$436$	−11.1961	−	3.11875i	−0.536197	−	0.149361i
$437$	22.7106	−	5.18355i	1.08640	−	0.247963i
$438$	10.6928	+	4.02764i	0.510920	+	0.192448i
$439$	5.05175	−	6.33469i	0.241107	−	0.302338i	−0.646524	−	0.762893i	$-0.723778\pi$
$439$	5.05175	−	6.33469i	0.241107	−	0.302338i	0.887631	+	0.460555i	$0.152350\pi$
$440$	−3.22803	−	11.8622i	−0.153890	−	0.565507i
$441$	4.51264	−	5.35127i	0.214888	−	0.254822i
$442$	1.84475	+	20.7749i	0.0877460	+	0.988163i
$443$	−15.3020	−	12.2029i	−0.727018	−	0.579777i	0.188491	−	0.982075i	$-0.439640\pi$
$443$	−15.3020	−	12.2029i	−0.727018	−	0.579777i	−0.915509	+	0.402298i	$0.868212\pi$
$444$	0.169101	+	0.0471041i	0.00802517	+	0.00223546i
$445$	2.58479	+	11.3247i	0.122531	+	0.536843i
$446$	−0.801409	+	2.12761i	−0.0379478	+	0.100745i
$447$	18.6775	−	8.99462i	0.883416	−	0.425431i
$448$	18.3924	−	10.4746i	0.868961	−	0.494880i
$449$	25.6112	+	12.3337i	1.20867	+	0.582063i	0.926134	−	0.377195i	$-0.123111\pi$
$449$	25.6112	+	12.3337i	1.20867	+	0.582063i	0.282532	+	0.959258i	$0.408826\pi$
$450$	4.44080	−	4.23569i	0.209341	−	0.199672i
$451$	−45.2130	+	21.7734i	−2.12900	+	1.02527i
$452$	9.17269	−	16.9485i	0.431447	−	0.797191i
$453$	−18.7691	−	4.28394i	−0.881852	−	0.201277i
$454$	18.6808	+	12.3632i	0.876733	+	0.580231i
$455$	−1.55114	+	6.39131i	−0.0727186	+	0.299629i
$456$	−5.43949	+	7.43066i	−0.254728	+	0.347972i
$457$	1.74073	−	0.838293i	0.0814281	−	0.0392137i	−0.392726	−	0.919655i	$-0.628468\pi$
$457$	1.74073	−	0.838293i	0.0814281	−	0.0392137i	0.474155	+	0.880442i	$0.342754\pi$
$458$	2.25365	−	16.4890i	0.105306	−	0.770479i
$459$		−	4.82183i		−	0.225064i
$460$	−11.4480	+	2.04925i	−0.533764	+	0.0955468i
$461$	−13.9234	−	3.17792i	−0.648476	−	0.148010i	−0.114384	−	0.993437i	$-0.536489\pi$
$461$	−13.9234	−	3.17792i	−0.648476	−	0.148010i	−0.534092	+	0.845426i	$0.679346\pi$
$462$	13.6113	+	14.6673i	0.633254	+	0.682386i
$463$	−26.9665	+	6.15492i	−1.25324	+	0.286043i	−0.797090	−	0.603860i	$-0.793628\pi$
$463$	−26.9665	+	6.15492i	−1.25324	+	0.286043i	−0.456148	+	0.889904i	$0.650771\pi$
$464$	14.5622	+	22.2919i	0.676034	+	1.03487i
$465$	3.79040	−	3.02274i	0.175775	−	0.140176i
$466$	3.37042	−	3.21475i	0.156132	−	0.148920i
$467$	−6.56394	−	28.7585i	−0.303743	−	1.33078i	−0.864429	−	0.502755i	$-0.832320\pi$
$467$	−6.56394	−	28.7585i	−0.303743	−	1.33078i	0.560686	−	0.828028i	$-0.310537\pi$
$468$	5.63061	−	2.39074i	0.260275	−	0.110512i
$469$	−23.8596	−	19.5678i	−1.10173	−	0.903556i
$470$	−1.51506	+	11.0850i	−0.0698843	+	0.511313i
$471$			11.1172i			0.512253i
$472$	−8.76221	−	32.1988i	−0.403313	−	1.48207i
$473$	−4.07778	+	17.8659i	−0.187497	+	0.821477i
$474$	13.7436	−	8.18917i	0.631266	−	0.376141i
$475$	8.80896	+	11.0461i	0.404183	+	0.506829i
$476$	−22.2708	−	12.4504i	−1.02078	−	0.570663i
$477$	−0.289236	+	0.362691i	−0.0132432	+	0.0166065i
$478$	−2.29814	+	16.8145i	−0.105114	+	0.769075i
$479$	8.00094	−	10.0329i	0.365572	−	0.458413i	−0.564693	−	0.825301i	$-0.691005\pi$
$479$	8.00094	−	10.0329i	0.365572	−	0.458413i	0.930265	+	0.366888i	$0.119577\pi$
$480$	2.88795	−	3.57731i	0.131816	−	0.163281i
$481$	0.209882	−	0.167375i	0.00956978	−	0.00763165i
$482$	16.3892	+	6.17332i	0.746507	+	0.281187i
$483$	14.9601	−	11.5988i	0.680709	−	0.527763i
$484$	−28.5265	+	20.6217i	−1.29666	+	0.937350i
$485$	−1.78647	−	0.860319i	−0.0811195	−	0.0390651i
$486$	−1.34552	+	0.435408i	−0.0610339	+	0.0197505i
$487$	−8.38217	+	17.4058i	−0.379832	+	0.788730i	0.620159	+	0.784476i	$0.287068\pi$
$487$	−8.38217	+	17.4058i	−0.379832	+	0.788730i	−0.999991	+	0.00425357i	$0.998646\pi$
$488$	1.23387	−	2.85838i	0.0558546	−	0.129393i
$489$		−	5.61247i		−	0.253805i
$490$	−5.39163	−	5.97190i	−0.243569	−	0.269783i
$491$			8.94014i			0.403463i	0.979441	+	0.201732i	$0.0646568\pi$
$491$			8.94014i			0.403463i	−0.979441	+	0.201732i	$0.935343\pi$
$492$	−16.5051	−	8.93271i	−0.744107	−	0.402718i
$493$	13.9266	−	28.9188i	0.627221	−	1.30244i
$494$	4.33586	+	13.3989i	0.195079	+	0.602843i
$495$	3.91599	+	1.88584i	0.176011	+	0.0847623i
$496$	−16.5714	+	17.1673i	−0.744078	+	0.770834i
$497$	14.8451	−	29.7763i	0.665894	−	1.33565i
$498$	1.86066	−	4.93976i	0.0833781	−	0.221356i
$499$	−33.0493	+	26.3559i	−1.47949	+	1.17985i	−0.537937	+	0.842985i	$0.680796\pi$
$499$	−33.0493	+	26.3559i	−1.47949	+	1.17985i	−0.941552	+	0.336868i	$0.890632\pi$
$500$	−8.89383	−	12.3030i	−0.397744	−	0.550208i
$501$	10.4614	−	13.1182i	0.467381	−	0.586078i
$502$	−33.3934	−	4.56409i	−1.49042	−	0.203705i
$503$	−14.1870	+	17.7900i	−0.632568	+	0.793215i	−0.990052	−	0.140704i	$-0.955063\pi$
$503$	−14.1870	+	17.7900i	−0.632568	+	0.793215i	0.357483	+	0.933919i	$0.383635\pi$
$504$	−1.46320	+	7.33887i	−0.0651763	+	0.326899i
$505$	0.0463578	+	0.0581308i	0.00206289	+	0.00258679i
$506$	27.6985	+	46.4855i	1.23135	+	2.06653i
$507$	−0.811124	+	3.55376i	−0.0360233	+	0.157828i
$508$	−2.43501	−	13.6030i	−0.108036	−	0.603534i
$509$			18.6329i			0.825888i	0.910756	+	0.412944i	$0.135500\pi$
$509$			18.6329i			0.825888i	−0.910756	+	0.412944i	$0.864500\pi$
$510$	−5.49109	−	0.750502i	−0.243150	−	0.0332328i
$511$	−0.292682	+	21.3744i	−0.0129475	+	0.945546i
$512$	−11.8138	+	19.2985i	−0.522102	+	0.852883i
$513$	−0.724487	−	3.17419i	−0.0319869	−	0.140144i
$514$	−7.93647	−	8.32078i	−0.350063	−	0.367014i
$515$	−4.91168	+	3.91693i	−0.216434	+	0.172601i
$516$	−6.30825	+	2.67846i	−0.277705	+	0.117913i
$517$	50.7508	−	11.5835i	2.23202	−	0.509443i
$518$	0.0245654	+	0.327483i	0.00107934	+	0.0143888i
$519$	−5.67337	−	1.29491i	−0.249033	−	0.0568402i
$520$	−1.84618	−	6.78423i	−0.0809604	−	0.297508i
$521$		−	12.5584i		−	0.550191i	−0.961417	−	0.275096i	$-0.911290\pi$
$521$		−	12.5584i		−	0.550191i	0.961417	−	0.275096i	$-0.0887095\pi$
$522$	−9.32727	−	1.27482i	−0.408244	−	0.0557972i
$523$	11.4331	−	5.50589i	0.499934	−	0.240756i	−0.166883	−	0.985977i	$-0.553370\pi$
$523$	11.4331	−	5.50589i	0.499934	−	0.240756i	0.666818	+	0.745221i	$0.267656\pi$
$524$	1.51754	+	1.33225i	0.0662942	+	0.0581995i
$525$	10.2750	+	5.12264i	0.448436	+	0.223570i
$526$	−5.69479	+	8.60486i	−0.248305	+	0.375190i
$527$	28.0418	+	6.40035i	1.22152	+	0.278804i
$528$	−20.3127	−	6.70751i	−0.883997	−	0.291907i
$529$	25.3992	−	12.2316i	1.10431	−	0.531808i
$530$	0.368013	+	0.385833i	0.0159855	+	0.0167595i
$531$	10.6296	+	5.11895i	0.461286	+	0.222144i
$532$	−16.5315	−	4.84980i	−0.716729	−	0.210266i
$533$	−25.8583	+	12.4527i	−1.12005	+	0.539386i
$534$	18.9151	+	7.12476i	0.818537	+	0.308318i
$535$	1.64724	+	7.21703i	0.0712164	+	0.312020i
$536$	32.4365	+	6.00654i	1.40104	+	0.259443i
$537$	19.4022	+	15.4728i	0.837269	+	0.667699i
$538$	21.3995	−	1.90021i	0.922596	−	0.0819238i
$539$	−17.1599	+	33.2705i	−0.739130	+	1.43306i
$540$	0.286417	+	1.60004i	0.0123254	+	0.0688549i
$541$	−6.92144	+	8.67921i	−0.297576	+	0.373148i	−0.908031	−	0.418902i	$-0.862415\pi$
$541$	−6.92144	+	8.67921i	−0.297576	+	0.373148i	0.610456	+	0.792051i	$0.290986\pi$
$542$	0.888946	−	2.36001i	0.0381835	−	0.101371i
$543$	−24.3554	+	5.55897i	−1.04519	+	0.238558i
$544$	27.2759	+	0.162973i	1.16944	+	0.00698742i
$545$	−2.04922	−	4.25525i	−0.0877790	−	0.182275i
$546$	7.78459	+	8.38857i	0.333150	+	0.358997i
$547$	−9.14173	+	18.9830i	−0.390872	+	0.811654i	0.608958	+	0.793203i	$0.291588\pi$
$547$	−9.14173	+	18.9830i	−0.390872	+	0.811654i	−0.999830	+	0.0184516i	$0.994126\pi$
$548$	−6.55234	−	5.75228i	−0.279902	−	0.245725i
$549$	0.477587	+	0.991719i	0.0203829	+	0.0423255i
$550$	−18.1129	+	27.3687i	−0.772336	+	1.16700i
$551$	4.82269	−	21.1296i	0.205454	−	0.900151i
$552$	−8.02022	+	18.5797i	−0.341363	+	0.790803i
$553$	23.1428	+	18.9799i	0.984131	+	0.807108i
$554$	13.9203	−	13.2773i	0.591416	−	0.564100i
$555$	0.0309505	+	0.0642693i	0.00131377	+	0.00272808i
$556$	−0.933673	+	19.7373i	−0.0395966	+	0.837046i
$557$	−7.51308			−0.318339			−0.159170	−	0.987251i	$-0.550882\pi$
$557$	−7.51308			−0.318339			−0.159170	+	0.987251i	$0.550882\pi$
$558$	−0.746155	−	8.40292i	−0.0315873	−	0.355724i
$559$	−2.33217	+	10.2179i	−0.0986404	+	0.432172i
$560$	8.12975	+	2.80857i	0.343545	+	0.118684i
$561$	5.73805	+	25.1400i	0.242261	+	1.06141i
$562$	18.6831	−	6.04584i	0.788100	−	0.255028i
$563$	10.5108	+	13.1802i	0.442979	+	0.555478i	0.952326	−	0.305084i	$-0.0986844\pi$
$563$	10.5108	+	13.1802i	0.442979	+	0.555478i	−0.509347	+	0.860561i	$0.670113\pi$
$564$	14.6301	+	12.8437i	0.616036	+	0.540816i
$565$	7.63499	−	1.74264i	0.321206	−	0.0733133i
$566$	−25.6051	+	8.28578i	−1.07626	+	0.348277i
$567$	−1.62112	−	2.09092i	−0.0680807	−	0.0878105i
$568$	1.46840	+	35.5386i	0.0616126	+	1.49117i
$569$	−6.05594			−0.253878			−0.126939	−	0.991911i	$-0.540515\pi$
$569$	−6.05594			−0.253878			−0.126939	+	0.991911i	$0.540515\pi$
$570$	−3.72752	+	0.330993i	−0.156129	+	0.0138638i
$571$	−5.41655	−	1.23629i	−0.226676	−	0.0517372i	0.107674	−	0.994186i	$-0.465660\pi$
$571$	−5.41655	−	1.23629i	−0.226676	−	0.0517372i	−0.334350	+	0.942449i	$0.608517\pi$
$572$	−26.5118	+	19.1653i	−1.10852	+	0.801343i
$573$	−4.90226	+	3.90942i	−0.204795	+	0.163318i
$574$	5.23041	−	34.7186i	0.218313	−	1.44913i
$575$	24.2742	+	19.3580i	1.01230	+	0.807286i
$576$	−2.41752	−	7.62598i	−0.100730	−	0.317749i
$577$	−26.9535	−	21.4947i	−1.12209	−	0.894836i	−0.126813	−	0.991927i	$-0.540475\pi$
$577$	−26.9535	−	21.4947i	−1.12209	−	0.894836i	−0.995275	+	0.0970911i	$0.969046\pi$
$578$	−4.52440	−	7.59316i	−0.188190	−	0.315834i
$579$	7.63562	+	9.57477i	0.317326	+	0.397914i
$580$	−2.90352	+	10.4235i	−0.120562	+	0.432811i
$581$	9.87436	+	0.135211i	0.409658	+	0.00560949i
$582$	−2.96398	+	1.76609i	−0.122861	+	0.0732068i
$583$	1.07641	−	2.23519i	0.0445804	−	0.0925722i
$584$	−10.7568	−	20.1623i	−0.445119	−	0.834323i
$585$	2.23964	+	1.07855i	0.0925978	+	0.0445928i
$586$	18.2350	−	27.5532i	0.753282	−	1.13821i
$587$	−2.58995			−0.106899			−0.0534494	−	0.998571i	$-0.517022\pi$
$587$	−2.58995			−0.106899			−0.0534494	+	0.998571i	$0.517022\pi$
$588$	−13.8433	+	2.08860i	−0.570889	+	0.0861326i
$589$	19.4214			0.800245
$590$	7.48392	−	11.3082i	0.308108	−	0.465553i
$591$	−6.66986	−	3.21203i	−0.274361	−	0.132125i
$592$	−0.192005	−	0.293921i	−0.00789135	−	0.0120801i
$593$	16.3139	−	33.8762i	0.669932	−	1.39113i	−0.237690	−	0.971341i	$-0.576390\pi$
$593$	16.3139	−	33.8762i	0.669932	−	1.39113i	0.907622	−	0.419788i	$-0.137895\pi$
$594$	6.49712	−	3.87132i	0.266580	−	0.158842i
$595$	−2.16857	−	10.1391i	−0.0889025	−	0.415662i
$596$	−39.9404	−	11.1256i	−1.63602	−	0.455724i
$597$	−11.1727	−	14.0101i	−0.457266	−	0.573394i
$598$	15.8413	+	26.5861i	0.647801	+	1.08718i
$599$	9.04353	+	7.21198i	0.369509	+	0.294673i	0.790586	−	0.612352i	$-0.209776\pi$
$599$	9.04353	+	7.21198i	0.369509	+	0.294673i	−0.421077	+	0.907025i	$0.638348\pi$
$600$	−12.2634	+	0.506703i	−0.500650	+	0.0206861i
$601$	9.86329	+	7.86571i	0.402332	+	0.320849i	0.803664	−	0.595084i	$-0.202881\pi$
$601$	9.86329	+	7.86571i	0.402332	+	0.320849i	−0.401332	+	0.915933i	$0.631453\pi$
$602$	−8.72146	−	9.39812i	−0.355460	−	0.383039i
$603$	−9.11850	+	7.27176i	−0.371334	+	0.296129i
$604$	22.5574	+	31.2041i	0.917846	+	1.26968i
$605$	−13.9454	−	3.18295i	−0.566961	−	0.129405i
$606$	0.128870	−	0.0114433i	0.00523499	−	0.000464852i
$607$	−22.1549			−0.899241			−0.449620	−	0.893220i	$-0.648441\pi$
$607$	−22.1549			−0.899241			−0.449620	+	0.893220i	$0.648441\pi$
$608$	17.9801	−	3.99096i	0.729188	−	0.161855i
$609$	−3.68357	−	17.2224i	−0.149266	−	0.697889i
$610$	1.20370	−	0.389517i	0.0487365	−	0.0157711i
$611$	29.0255	−	6.62488i	1.17425	−	0.268014i
$612$	−6.36228	+	7.24718i	−0.257180	+	0.292950i
$613$	0.743669	+	0.932532i	0.0300365	+	0.0376646i	0.796623	−	0.604477i	$-0.206618\pi$
$613$	0.743669	+	0.932532i	0.0300365	+	0.0376646i	−0.766586	+	0.642141i	$0.778046\pi$
$614$	−33.0624	+	10.6990i	−1.33429	+	0.431775i
$615$	−1.69704	−	7.43524i	−0.0684314	−	0.299818i
$616$	−1.10452	−	40.0046i	−0.0445022	−	1.61183i
$617$	2.65379	−	11.6270i	0.106838	−	0.468086i	−0.893000	−	0.450057i	$-0.851404\pi$
$617$	2.65379	−	11.6270i	0.106838	−	0.468086i	0.999837	−	0.0180291i	$-0.00573915\pi$
$618$	0.966884	+	10.8887i	0.0388938	+	0.438007i
$619$	4.14978			0.166794			0.0833968	−	0.996516i	$-0.473423\pi$
$619$	4.14978			0.166794			0.0833968	+	0.996516i	$0.473423\pi$
$620$	−9.68537	−	0.458167i	−0.388974	−	0.0184004i
$621$	−3.10434	−	6.44624i	−0.124573	−	0.258679i
$622$	−16.5895	+	15.8233i	−0.665179	+	0.634456i
$623$	−0.517744	+	37.8105i	−0.0207430	+	1.51485i
$624$	−11.6173	−	3.83617i	−0.465064	−	0.153570i
$625$	−3.45534	+	15.1388i	−0.138214	+	0.605554i
$626$	7.81860	−	11.8139i	0.312494	−	0.472180i
$627$	7.55466	+	15.6874i	0.301704	+	0.626495i
$628$	14.6688	−	16.7091i	0.585350	−	0.666764i
$629$	−0.183624	+	0.381298i	−0.00732155	+	0.0152034i
$630$	−2.63346	+	1.52069i	−0.104920	+	0.0605855i
$631$	−1.40721	−	2.92210i	−0.0560201	−	0.116327i	0.871079	−	0.491142i	$-0.163420\pi$
$631$	−1.40721	−	2.92210i	−0.0560201	−	0.116327i	−0.927100	+	0.374815i	$0.877706\pi$
$632$	−31.4620	−	5.82609i	−1.25149	−	0.231749i
$633$	−20.4254	+	4.66195i	−0.811835	+	0.185296i
$634$	−1.11350	+	2.95616i	−0.0442226	+	0.117404i
$635$	3.50133	−	4.39053i	0.138946	−	0.174233i
$636$	0.913281	−	0.163483i	0.0362140	−	0.00648250i
$637$	−9.81413	+	19.0281i	−0.388850	+	0.753922i
$638$	50.1476	−	4.45296i	1.98536	−	0.176294i
$639$	−9.83192	−	7.84070i	−0.388945	−	0.310173i
$640$	−9.06073	+	1.56611i	−0.358157	+	0.0619059i
$641$	−10.4264	−	45.6811i	−0.411818	−	1.80429i	−0.575525	−	0.817784i	$-0.695202\pi$
$641$	−10.4264	−	45.6811i	−0.411818	−	1.80429i	0.163707	−	0.986509i	$-0.447655\pi$
$642$	12.0543	+	4.54048i	0.475743	+	0.179198i
$643$	7.44280	−	3.58426i	0.293515	−	0.141349i	−0.281331	−	0.959611i	$-0.590776\pi$
$643$	7.44280	−	3.58426i	0.293515	−	0.141349i	0.574847	+	0.818261i	$0.305062\pi$
$644$	−37.7892	−	2.30657i	−1.48910	−	0.0908916i
$645$	−2.50918	−	1.20836i	−0.0987989	−	0.0475791i
$646$	−15.3236	−	16.0656i	−0.602899	−	0.632093i
$647$	10.2450	−	4.93375i	0.402774	−	0.193966i	−0.221519	−	0.975156i	$-0.571101\pi$
$647$	10.2450	−	4.93375i	0.402774	−	0.193966i	0.624293	+	0.781190i	$0.285387\pi$
$648$	2.59682	+	1.12096i	0.102013	+	0.0440354i
$649$	−61.5123	−	14.0398i	−2.41457	−	0.551110i
$650$	−10.3592	+	15.6527i	−0.406319	+	0.613951i
$651$	14.3118	−	6.65235i	0.560922	−	0.260726i
$652$	−7.40551	+	8.43551i	−0.290022	+	0.330360i
$653$	3.43319	−	1.65334i	0.134351	−	0.0647000i	−0.365501	−	0.930811i	$-0.619102\pi$
$653$	3.43319	−	1.65334i	0.134351	−	0.0647000i	0.499852	+	0.866111i	$0.333388\pi$
$654$	−8.14256	−	1.11290i	−0.318399	−	0.0435176i
$655$			0.820606i			0.0320637i
$656$	13.0206	+	35.2038i	0.508369	+	1.37448i
$657$	7.87694	+	1.79786i	0.307309	+	0.0701412i
$658$	−13.3036	+	33.9044i	−0.518630	+	1.32173i
$659$	20.5772	−	4.69661i	0.801573	−	0.182954i	0.197938	−	0.980215i	$-0.436575\pi$
$659$	20.5772	−	4.69661i	0.801573	−	0.182954i	0.603635	+	0.797261i	$0.293718\pi$
$660$	−3.39739	−	8.00146i	−0.132243	−	0.311456i
$661$	−1.23937	+	0.988366i	−0.0482060	+	0.0384430i	−0.647296	−	0.762238i	$-0.724100\pi$
$661$	−1.23937	+	0.988366i	−0.0482060	+	0.0384430i	0.599090	+	0.800681i	$0.295529\pi$
$662$	−20.5089	−	21.5020i	−0.797099	−	0.835698i
$663$	3.28172	+	14.3781i	0.127451	+	0.558401i
$664$	−9.31443	+	4.96933i	−0.361470	+	0.192847i
$665$	−2.95097	−	6.34867i	−0.114434	−	0.246191i
$666$	0.122981	+	0.0168086i	0.00476543	+	0.000651321i
$667$		−	47.6272i		−	1.84413i
$668$	−33.0325	+	5.91301i	−1.27807	+	0.228781i
$669$	−0.357733	+	1.56733i	−0.0138308	+	0.0605965i
$670$	6.86180	+	11.5159i	0.265094	+	0.444900i
$671$	−3.67020	−	4.60228i	−0.141686	−	0.177669i
$672$	11.8826	−	9.09962i	0.458383	−	0.351025i
$673$	9.98833	−	12.5250i	0.385022	−	0.482802i	−0.551119	−	0.834426i	$-0.685799\pi$
$673$	9.98833	−	12.5250i	0.385022	−	0.482802i	0.936141	+	0.351624i	$0.114371\pi$
$674$	−41.4588	−	5.66644i	−1.59694	−	0.218263i
$675$	2.70561	−	3.39272i	0.104139	−	0.130586i
$676$	5.90821	−	4.27103i	0.227239	−	0.164270i
$677$	15.6837	−	12.5073i	0.602772	−	0.480695i	−0.273916	−	0.961754i	$-0.588319\pi$
$677$	15.6837	−	12.5073i	0.602772	−	0.480695i	0.876688	+	0.481059i	$0.159748\pi$
$678$	4.80343	−	12.7523i	0.184475	−	0.489751i
$679$	−4.99101	−	4.09324i	−0.191537	−	0.157084i
$680$	7.26281	+	8.37335i	0.278516	+	0.321103i
$681$	14.2715	+	6.87277i	0.546884	+	0.263365i
$682$	13.8899	+	42.9232i	0.531872	+	1.64361i
$683$	0.711832	−	1.47813i	0.0272375	−	0.0565592i	−0.886906	−	0.461950i	$-0.847150\pi$
$683$	0.711832	−	1.47813i	0.0272375	−	0.0565592i	0.914144	+	0.405390i	$0.132864\pi$
$684$	−3.09935	+	5.72672i	−0.118507	+	0.218967i
$685$		−	3.54315i		−	0.135377i
$686$	−12.4715	−	23.0318i	−0.476164	−	0.879357i
$687$		−	11.7679i		−	0.448972i
$688$	13.0154	+	4.29785i	0.496208	+	0.163854i
$689$	0.615623	−	1.27836i	0.0234534	−	0.0487015i
$690$	−7.82414	+	2.53189i	−0.297860	+	0.0963872i
$691$	0.604622	+	0.291170i	0.0230009	+	0.0110766i	0.445349	−	0.895357i	$-0.353080\pi$
$691$	0.604622	+	0.291170i	0.0230009	+	0.0110766i	−0.422348	+	0.906434i	$0.638794\pi$
$692$	6.81844	+	9.43210i	0.259198	+	0.358555i
$693$	10.9404	+	8.97249i	0.415593	+	0.340837i
$694$	3.14910	+	1.18617i	0.119538	+	0.0450264i
$695$	−6.27778	+	5.00636i	−0.238130	+	0.189902i
$696$	12.3367	+	14.2231i	0.467623	+	0.539126i
$697$	28.2106	−	35.3750i	1.06855	−	1.33992i
$698$	−3.40983	+	24.9482i	−0.129064	+	0.944303i
$699$	2.05347	−	2.57497i	0.0776692	−	0.0973941i
$700$	−8.68402	−	21.2568i	−0.328225	−	0.803432i
$701$	14.5703	+	18.2706i	0.550314	+	0.690072i	0.976734	−	0.214453i	$-0.0687970\pi$
$701$	14.5703	+	18.2706i	0.550314	+	0.690072i	−0.426420	+	0.904525i	$0.640226\pi$
$702$	3.71584	−	2.21409i	0.140245	−	0.0835655i
$703$	−0.0635878	+	0.278597i	−0.00239826	+	0.0105075i
$704$	21.6795	+	36.8834i	0.817077	+	1.39010i
$705$			7.91115i			0.297951i
$706$	3.17937	−	23.2620i	0.119657	−	0.875477i
$707$	0.102023	+	0.219490i	0.00383696	+	0.00825478i
$708$	−9.22192	−	21.7193i	−0.346581	−	0.816259i
$709$	−1.81799	−	7.96513i	−0.0682760	−	0.299137i	0.929249	−	0.369455i	$-0.120456\pi$
$709$	−1.81799	−	7.96513i	−0.0682760	−	0.299137i	−0.997525	+	0.0703184i	$0.977598\pi$
$710$	−10.4593	+	9.97619i	−0.392530	+	0.374400i
$711$	8.84455	−	7.05330i	0.331697	−	0.264519i
$712$	−19.0284	−	35.6664i	−0.713118	−	1.33666i
$713$	41.6093	−	9.49704i	1.55828	−	0.355667i
$714$	−16.7950	−	6.59013i	−0.628536	−	0.246629i
$715$	−12.9605	−	2.95816i	−0.484697	−	0.110629i
$716$	−8.74554	−	48.8562i	−0.326836	−	1.82584i
$717$			12.0002i			0.448154i
$718$	1.66755	−	12.2007i	0.0622324	−	0.455327i
$719$	−14.8671	+	7.15964i	−0.554451	+	0.267009i	−0.690059	−	0.723753i	$-0.742415\pi$
$719$	−14.8671	+	7.15964i	−0.554451	+	0.267009i	0.135608	+	0.990763i	$0.456701\pi$
$720$	1.68073	−	2.78277i	0.0626372	−	0.103708i
$721$	−18.5455	+	8.62026i	−0.690671	+	0.321035i
$722$	9.90600	+	6.55590i	0.368663	+	0.243985i
$723$	12.0733	+	2.75565i	0.449010	+	0.102484i
$724$	43.9410	+	23.7813i	1.63305	+	0.883824i
$725$	26.0258	−	12.5334i	0.966574	−	0.465477i
$726$	−18.0108	+	17.1790i	−0.668445	+	0.637571i
$727$	−25.0134	−	12.0458i	−0.927696	−	0.446755i	−0.0918834	−	0.995770i	$-0.529289\pi$
$727$	−25.0134	−	12.0458i	−0.927696	−	0.446755i	−0.835813	+	0.549015i	$0.815003\pi$
$728$	−0.631696	−	22.8795i	−0.0234122	−	0.847971i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	3.27342	−	8.69041i	0.121155	−	0.321647i
$731$	−3.67667	−	16.1085i	−0.135987	−	0.595796i
$732$	0.590737	−	2.12071i	0.0218343	−	0.0783837i
$733$	−33.4199	−	26.6515i	−1.23439	−	0.984394i	−0.999925	−	0.0122697i	$-0.996094\pi$
$733$	−33.4199	−	26.6515i	−1.23439	−	0.984394i	−0.234466	−	0.972124i	$-0.575334\pi$
$734$	−3.69804	−	41.6460i	−0.136497	−	1.53718i
$735$	−4.34918	−	3.66760i	−0.160422	−	0.135281i
$736$	36.5697	−	17.3426i	1.34798	−	0.639258i
$737$	38.8885	−	48.7646i	1.43248	−	1.79627i
$738$	−12.4187	−	4.67776i	−0.457139	−	0.172191i
$739$	2.20471	−	0.503212i	0.0811017	−	0.0185109i	−0.181778	−	0.983340i	$-0.558185\pi$
$739$	2.20471	−	0.503212i	0.0811017	−	0.0185109i	0.262879	+	0.964829i	$0.415328\pi$
$740$	0.0382833	−	0.137435i	0.00140732	−	0.00505220i
$741$	4.32067	+	8.97197i	0.158724	+	0.329594i
$742$	0.867985	+	1.50314i	0.0318647	+	0.0551821i
$743$	12.4726	−	25.8995i	0.457574	−	0.950162i	−0.536748	−	0.843743i	$-0.680347\pi$
$743$	12.4726	−	25.8995i	0.457574	−	0.950162i	0.994321	−	0.106419i	$-0.0339384\pi$
$744$	−9.96597	+	13.6141i	−0.365370	+	0.499116i
$745$	−7.31027	−	15.1799i	−0.267828	−	0.556150i
$746$	−15.5830	−	10.3130i	−0.570533	−	0.377585i
$747$	0.830561	−	3.63893i	0.0303886	−	0.133141i
$748$	24.5474	−	45.3565i	0.897540	−	1.65840i
$749$	−0.329949	+	24.0959i	−0.0120561	+	0.880447i
$750$	−7.40903	−	7.76780i	−0.270539	−	0.283640i
$751$	8.10593	+	16.8321i	0.295790	+	0.614213i	0.994907	−	0.100793i	$-0.0321380\pi$
$751$	8.10593	+	16.8321i	0.295790	+	0.614213i	−0.699118	+	0.715006i	$0.746424\pi$
$752$	−5.04199	−	38.6079i	−0.183862	−	1.40789i
$753$	−23.8323			−0.868496
$754$	28.6805	−	2.54674i	1.04448	−	0.0927469i
$755$	−3.48172	+	15.2544i	−0.126713	+	0.555164i
$756$	−0.322382	+	5.28167i	−0.0117249	+	0.192093i
$757$	10.8887	+	47.7063i	0.395755	+	1.73391i	0.643825	+	0.765173i	$0.277346\pi$
$757$	10.8887	+	47.7063i	0.395755	+	1.73391i	−0.248070	+	0.968742i	$0.579796\pi$
$758$	15.2340	+	47.0767i	0.553322	+	1.70990i
$759$	23.8565	+	29.9152i	0.865938	+	1.08585i
$760$	6.03918	+	4.42088i	0.219064	+	0.160362i
$761$	−24.1948	+	5.52231i	−0.877062	+	0.200184i	−0.637270	−	0.770641i	$-0.719936\pi$
$761$	−24.1948	+	5.52231i	−0.877062	+	0.200184i	−0.239792	+	0.970824i	$0.577079\pi$
$762$	−3.00850	−	9.29699i	−0.108986	−	0.336794i
$763$	−3.21570	−	15.0349i	−0.116416	−	0.544300i
$764$	12.5264	+	0.592565i	0.453191	+	0.0214382i
$765$	−3.91888			−0.141688
$766$	3.45603	+	38.9206i	0.124872	+	1.40626i
$767$	−35.1802	−	8.02966i	−1.27028	−	0.289934i
$768$	−6.42876	+	14.6517i	−0.231978	+	0.528696i
$769$	3.46612	−	2.76414i	0.124991	−	0.0996773i	−0.558999	−	0.829168i	$-0.688814\pi$
$769$	3.46612	−	2.76414i	0.124991	−	0.0996773i	0.683990	+	0.729491i	$0.260243\pi$
$770$	11.9207	−	11.0624i	0.429592	−	0.398661i
$771$	−6.35699	−	5.06953i	−0.228941	−	0.182575i
$772$	1.15736	−	24.4658i	0.0416542	−	0.880544i
$773$	21.5628	+	17.1958i	0.775561	+	0.618489i	0.929174	−	0.369642i	$-0.120520\pi$
$773$	21.5628	+	17.1958i	0.775561	+	0.618489i	−0.153613	+	0.988131i	$0.549091\pi$
$774$	−4.16304	+	2.48056i	−0.149637	+	0.0891617i
$775$	16.1393	+	20.2381i	0.579742	+	0.726973i
$776$	6.78515	+	1.25646i	0.243573	+	0.0451045i
$777$	0.0485683	+	0.227080i	0.00174238	+	0.00814646i
$778$	−9.40933	−	15.7914i	−0.337341	−	0.566149i
$779$	13.2558	−	27.5259i	0.474937	−	0.986218i
$780$	−1.94304	−	4.57621i	−0.0695721	−	0.163855i
$781$	60.5922	+	29.1797i	2.16816	+	1.04413i
$782$	−40.6860	−	26.9264i	−1.45493	−	0.962888i
$783$	−6.65670			−0.237891
$784$	23.5623	+	15.1267i	0.841510	+	0.540241i
$785$	9.03536			0.322486
$786$	1.19075	+	0.788052i	0.0424727	+	0.0281089i
$787$	−9.61176	−	4.62878i	−0.342622	−	0.164998i	0.254657	−	0.967031i	$-0.418037\pi$
$787$	−9.61176	−	4.62878i	−0.342622	−	0.164998i	−0.597279	+	0.802033i	$0.703752\pi$
$788$	5.78656	+	13.6284i	0.206138	+	0.485491i
$789$	−3.16578	+	6.57381i	−0.112705	+	0.234034i
$790$	−6.65565	−	11.1700i	−0.236797	−	0.397410i
$791$	25.4914	+	0.349057i	0.906370	+	0.0124110i
$792$	−14.8732	−	2.75420i	−0.528497	−	0.0978664i
$793$	−2.09907	−	2.63215i	−0.0745401	−	0.0934703i
$794$	21.6322	−	12.8896i	0.767698	−	0.457434i
$795$	0.294773	+	0.235073i	0.0104545	+	0.00833719i
$796$	−1.69348	+	35.7991i	−0.0600237	+	1.26886i
$797$	9.58074	+	7.64039i	0.339367	+	0.270636i	0.778312	−	0.627878i	$-0.216076\pi$
$797$	9.58074	+	7.64039i	0.339367	+	0.270636i	−0.438945	+	0.898514i	$0.644648\pi$
$798$	−12.0462	−	1.81478i	−0.426431	−	0.0642425i
$799$	−36.6956	+	29.2638i	−1.29820	+	1.03528i
$800$	19.1004	+	15.4196i	0.675300	+	0.545166i
$801$	13.9340	+	3.18035i	0.492335	+	0.112372i
$802$	1.52540	+	17.1784i	0.0538636	+	0.606592i
$803$	−43.2082			−1.52479
$804$	23.2999	+	1.10221i	0.821725	+	0.0388718i
$805$	−9.42677	−	12.1587i	−0.332250	−	0.428536i
$806$	7.94394	+	24.5487i	0.279813	+	0.864691i
$807$	14.8104	−	3.38037i	0.521349	−	0.118995i
$808$	−0.208790	−	0.152842i	−0.00734521	−	0.00537695i
$809$	−24.1800	−	30.3208i	−0.850123	−	1.06602i	−0.997041	−	0.0768721i	$-0.975507\pi$
$809$	−24.1800	−	30.3208i	−0.850123	−	1.06602i	0.146918	−	0.989149i	$-0.453065\pi$
$810$	0.353873	+	1.09355i	0.0124338	+	0.0384236i
$811$	−1.83776	−	8.05177i	−0.0645326	−	0.282736i	0.932358	−	0.361537i	$-0.117748\pi$
$811$	−1.83776	−	8.05177i	−0.0645326	−	0.282736i	−0.996890	+	0.0788011i	$0.974891\pi$
$812$	−17.1882	+	30.7456i	−0.603187	+	1.07896i
$813$	0.396808	−	1.73853i	0.0139167	−	0.0609729i
$814$	−0.661202	+	0.0587128i	−0.0231751	+	0.00205788i
$815$	−4.56147			−0.159781
$816$	19.1249	−	2.49761i	0.669506	−	0.0874339i
$817$	−4.84066	−	10.0517i	−0.169353	−	0.351666i
$818$	−2.84764	−	2.98553i	−0.0995655	−	0.104387i
$819$	6.25707	+	5.13156i	0.218640	+	0.179311i
$820$	−7.25995	+	13.4143i	−0.253528	+	0.468448i
$821$	9.47289	−	41.5034i	0.330606	−	1.44848i	−0.487354	−	0.873205i	$-0.662038\pi$
$821$	9.47289	−	41.5034i	0.330606	−	1.44848i	0.817960	−	0.575275i	$-0.195105\pi$
$822$	−5.14133	−	3.40259i	−0.179324	−	0.118679i
$823$	−7.14476	−	14.8363i	−0.249051	−	0.517159i	0.738540	−	0.674210i	$-0.235516\pi$
$823$	−7.14476	−	14.8363i	−0.249051	−	0.517159i	−0.987591	+	0.157051i	$0.949801\pi$
$824$	12.9141	−	17.6414i	0.449885	−	0.614568i
$825$	−10.0691	+	20.9087i	−0.350561	+	0.727947i
$826$	32.3577	−	30.0279i	1.12587	−	1.04480i
$827$	11.5735	+	24.0326i	0.402449	+	0.835695i	0.999440	+	0.0334470i	$0.0106485\pi$
$827$	11.5735	+	24.0326i	0.402449	+	0.835695i	−0.596991	+	0.802248i	$0.703637\pi$
$828$	−3.83983	+	13.7848i	−0.133443	+	0.479053i
$829$	−48.7095	+	11.1176i	−1.69175	+	0.386131i	−0.956515	−	0.291682i	$-0.905785\pi$
$829$	−48.7095	+	11.1176i	−1.69175	+	0.386131i	−0.735234	+	0.677813i	$0.762928\pi$
$830$	−4.01473	−	1.51223i	−0.139353	−	0.0524902i
$831$	8.48108	−	10.6349i	0.294206	−	0.368922i
$832$	12.3990	+	21.0944i	0.429857	+	0.731318i
$833$	0.924190	−	33.7402i	0.0320213	−	1.16903i
$834$	1.23581	+	13.9172i	0.0427925	+	0.481913i
$835$	−10.6617	−	8.50239i	−0.368962	−	0.294237i
$836$	9.34452	−	33.5463i	0.323187	−	1.16022i
$837$	−1.32737	−	5.81558i	−0.0458806	−	0.201016i
$838$	0.0488513	−	0.129693i	0.00168754	−	0.00448015i
$839$	26.2291	−	12.6313i	0.905529	−	0.436080i	0.0776464	−	0.996981i	$-0.475259\pi$
$839$	26.2291	−	12.6313i	0.905529	−	0.436080i	0.827883	+	0.560901i	$0.189545\pi$
$840$	5.96458	+	1.18920i	0.205798	+	0.0410314i
$841$	−13.7953	−	6.64346i	−0.475699	−	0.229085i
$842$	−16.1651	+	15.4185i	−0.557086	+	0.531356i
$843$	12.5104	−	6.02467i	0.430879	−	0.207501i
$844$	36.8505	+	19.9438i	1.26845	+	0.686495i
$845$	2.88828	+	0.659231i	0.0993598	+	0.0226782i
$846$	11.4796	+	7.59730i	0.394675	+	0.261201i
$847$	−41.6728	−	20.7762i	−1.43189	−	0.713879i
$848$	−1.58837	−	0.959337i	−0.0545447	−	0.0329438i
$849$	−17.1454	+	8.25677i	−0.588427	+	0.283372i
$850$	4.00716	−	29.3186i	0.137444	−	1.00562i
$851$			0.627971i			0.0215266i
$852$	4.43173	+	24.7575i	0.151829	+	0.848177i
$853$	−7.97129	−	1.81940i	−0.272932	−	0.0622949i	0.0838642	−	0.996477i	$-0.473274\pi$
$853$	−7.97129	−	1.81940i	−0.272932	−	0.0622949i	−0.356796	+	0.934182i	$0.616131\pi$
$854$	4.10700	−	0.308077i	0.140539	−	0.0105422i
$855$	−2.57978	+	0.588818i	−0.0882267	+	0.0201372i
$856$	−12.1264	−	22.7296i	−0.414473	−	0.776881i
$857$	−19.2486	+	15.3502i	−0.657519	+	0.524354i	−0.894447	−	0.447173i	$-0.852431\pi$
$857$	−19.2486	+	15.3502i	−0.657519	+	0.524354i	0.236928	+	0.971527i	$0.423859\pi$
$858$	−16.7388	+	15.9657i	−0.571455	+	0.545061i
$859$	7.59202	+	33.2628i	0.259036	+	1.13491i	0.922284	+	0.386512i	$0.126320\pi$
$859$	7.59202	+	33.2628i	0.259036	+	1.13491i	−0.663248	+	0.748400i	$0.730823\pi$
$860$	2.17689	+	5.12695i	0.0742313	+	0.174828i
$861$	0.339925	−	24.8245i	0.0115846	−	0.846016i
$862$	1.00385	−	7.34474i	0.0341913	−	0.250163i
$863$			22.5739i			0.768425i	0.923245	+	0.384212i	$0.125527\pi$
$863$			22.5739i			0.768425i	−0.923245	+	0.384212i	$0.874473\pi$
$864$	−2.42392	−	5.11122i	−0.0824635	−	0.173887i
$865$	−1.05242	+	4.61096i	−0.0357834	+	0.156777i
$866$	15.3173	−	9.12685i	0.520504	−	0.310143i
$867$	−3.89684	−	4.88648i	−0.132344	−	0.165954i
$868$	−30.2881	−	8.88557i	−1.02804	−	0.301596i
$869$	−37.7202	+	47.2996i	−1.27957	+	1.60453i
$870$	−1.03609	+	7.58063i	−0.0351268	+	0.257007i
$871$	22.2412	−	27.8895i	0.753613	−	0.945001i
$872$	10.7698	+	12.4166i	0.364711	+	0.420478i
$873$	−1.90743	+	1.52113i	−0.0645568	+	0.0514823i
$874$	−30.8291	−	11.6124i	−1.04281	−	0.392796i
$875$	8.96046	−	17.9729i	0.302919	−	0.607593i
$876$	−9.46676	−	13.0956i	−0.319852	−	0.442459i
$877$	53.1964	+	25.6180i	1.79632	+	0.865060i	0.932406	+	0.361413i	$0.117706\pi$
$877$	53.1964	+	25.6180i	1.79632	+	0.865060i	0.863910	+	0.503647i	$0.168009\pi$
$878$	−10.9019	+	3.52784i	−0.367921	+	0.119059i
$879$	10.1370	−	21.0497i	0.341913	−	0.709989i
$880$	−5.45145	+	16.5089i	−0.183768	+	0.556515i
$881$			57.1245i			1.92457i	0.272040	+	0.962286i	$0.412302\pi$
$881$			57.1245i			1.92457i	−0.272040	+	0.962286i	$0.587698\pi$
$882$	−9.49855	+	2.78882i	−0.319833	+	0.0939046i
$883$		−	31.3129i		−	1.05376i	−0.849938	−	0.526882i	$-0.823361\pi$
$883$		−	31.3129i		−	1.05376i	0.849938	−	0.526882i	$-0.176639\pi$
$884$	14.0392	−	25.9404i	0.472188	−	0.872470i
$885$	4.16037	−	8.63909i	0.139849	−	0.290400i
$886$	8.52178	+	26.3344i	0.286295	+	0.884721i
$887$	33.9893	+	16.3684i	1.14125	+	0.549597i	0.906394	−	0.422433i	$-0.138824\pi$
$887$	33.9893	+	16.3684i	1.14125	+	0.549597i	0.234856	+	0.972030i	$0.424538\pi$
$888$	−0.162662	−	0.187534i	−0.00545857	−	0.00629323i
$889$	14.4474	−	11.2013i	0.484552	−	0.375680i
$890$	5.79056	−	15.3730i	0.194100	−	0.515305i
$891$	4.18114	−	3.33435i	0.140073	−	0.111705i
$892$	2.60572	−	1.88367i	0.0872460	−	0.0630699i
$893$	−19.7596	+	24.7777i	−0.661230	+	0.829156i
$894$	−29.0473	−	3.97007i	−0.971486	−	0.132779i
$895$	12.5753	−	15.7689i	0.420346	−	0.527098i
$896$	−29.8662	−	2.00215i	−0.997761	−	0.0668871i
$897$	13.6441	+	17.1091i	0.455563	+	0.571257i
$898$	−20.5777	−	34.5350i	−0.686687	−	1.15245i
$899$	8.83589	−	38.7126i	0.294694	−	1.29114i
$900$	−8.54312	+	1.52927i	−0.284771	+	0.0509756i
$901$			2.23684i			0.0745200i
$902$	70.3152	+	9.61043i	2.34124	+	0.319992i
$903$	−7.01011	−	5.74914i	−0.233282	−	0.191320i
$904$	−24.0459	+	12.8287i	−0.799755	+	0.426676i
$905$	4.51799	+	19.7946i	0.150183	+	0.657995i
$906$	18.7915	+	19.7014i	0.624305	+	0.654536i
$907$	−5.57498	+	4.44590i	−0.185114	+	0.147624i	−0.711662	−	0.702522i	$-0.752057\pi$
$907$	−5.57498	+	4.44590i	−0.185114	+	0.147624i	0.526548	+	0.850145i	$0.323486\pi$
$908$	−12.3815	−	29.1605i	−0.410894	−	0.967727i
$909$	0.0891898	−	0.0203570i	0.00295824	−	0.000675199i
$910$	6.81771	−	6.32683i	0.226005	−	0.209732i
$911$	−16.7878	−	3.83171i	−0.556206	−	0.126950i	−0.0648274	−	0.997896i	$-0.520650\pi$
$911$	−16.7878	−	3.83171i	−0.556206	−	0.126950i	−0.491379	+	0.870946i	$0.663507\pi$
$912$	12.2146	−	4.51771i	0.404465	−	0.149596i
$913$			19.9610i			0.660613i
$914$	−2.70719	−	0.370009i	−0.0895459	−	0.0122388i
$915$	0.806007	−	0.388153i	0.0266458	−	0.0128319i
$916$	−15.5274	+	17.6870i	−0.513039	+	0.584395i
$917$	−0.630038	+	2.59601i	−0.0208057	+	0.0857277i
$918$	−3.76342	+	5.68654i	−0.124211	+	0.187684i
$919$	−32.4248	−	7.40075i	−1.06960	−	0.244128i	−0.348744	−	0.937218i	$-0.613392\pi$
$919$	−32.4248	−	7.40075i	−1.06960	−	0.244128i	−0.720851	+	0.693090i	$0.756249\pi$
$920$	15.1004	+	6.51834i	0.497845	+	0.214903i
$921$	−22.1388	+	10.6615i	−0.729499	+	0.351308i
$922$	13.9399	+	14.6150i	0.459087	+	0.481318i
$923$	34.6540	+	16.6885i	1.14065	+	0.549308i
$924$	−4.60444	−	27.9212i	−0.151475	−	0.918540i
$925$	−0.343153	+	0.165254i	−0.0112828	+	0.00543352i
$926$	36.6063	+	13.7885i	1.20296	+	0.453119i
$927$	1.72003	+	7.53596i	0.0564933	+	0.247513i
$928$	0.224990	−	37.6553i	0.00738565	−	1.23610i
$929$	12.1489	+	9.68841i	0.398592	+	0.317866i	0.802189	−	0.597071i	$-0.203669\pi$
$929$	12.1489	+	9.68841i	0.398592	+	0.317866i	−0.403597	+	0.914937i	$0.632240\pi$
$930$	−6.82937	+	0.606429i	−0.223944	+	0.0198856i
$931$	−4.46112	−	22.3498i	−0.146207	−	0.732486i
$932$	−6.48395	+	1.16066i	−0.212389	+	0.0380188i
$933$	−10.1073	+	12.6742i	−0.330900	+	0.414935i
$934$	−14.7048	+	39.0389i	−0.481156	+	1.27739i
$935$	20.4323	−	4.66353i	0.668207	−	0.152514i
$936$	−8.50632	−	1.57519i	−0.278038	−	0.0514867i
$937$	23.7441	+	49.3051i	0.775686	+	1.61073i	0.791741	+	0.610857i	$0.209175\pi$
$937$	23.7441	+	49.3051i	0.775686	+	1.61073i	−0.0160546	+	0.999871i	$0.505111\pi$
$938$	12.8658	+	41.6992i	0.420084	+	1.36153i
$939$	4.34642	−	9.02544i	0.141840	−	0.294534i
$940$	10.4385	−	11.8904i	0.340468	−	0.387822i
$941$	24.2321	+	50.3185i	0.789945	+	1.64034i	0.767891	+	0.640581i	$0.221306\pi$
$941$	24.2321	+	50.3185i	0.789945	+	1.64034i	0.0220539	+	0.999757i	$0.492979\pi$
$942$	8.67691	−	13.1109i	0.282709	−	0.427175i
$943$	14.9396	−	65.4547i	0.486501	−	2.13150i
$944$	−14.7975	+	44.8120i	−0.481617	+	1.45851i
$945$	−1.69937	+	1.31755i	−0.0552806	+	0.0428598i
$946$	18.7534	−	17.8872i	0.609724	−	0.581563i
$947$	−5.29670	−	10.9987i	−0.172120	−	0.357410i	0.797008	−	0.603968i	$-0.206415\pi$
$947$	−5.29670	−	10.9987i	−0.172120	−	0.357410i	−0.969128	+	0.246558i	$0.920700\pi$
$948$	−22.5999	−	1.06909i	−0.734012	−	0.0347225i
$949$	−24.7117			−0.802177
$950$	−1.76727	−	19.9024i	−0.0573379	−	0.645718i
$951$	−0.497043	+	2.17769i	−0.0161177	+	0.0706163i
$952$	16.5472	+	32.0654i	0.536299	+	1.03925i
$953$	−3.72328	−	16.3128i	−0.120609	−	0.528423i	−0.998748	−	0.0500176i	$-0.984072\pi$
$953$	−3.72328	−	16.3128i	−0.120609	−	0.528423i	0.878139	−	0.478405i	$-0.158785\pi$
$954$	0.624185	−	0.201986i	0.0202087	−	0.00653952i
$955$	3.17733	+	3.98425i	0.102816	+	0.128927i
$956$	15.8339	−	18.0362i	0.512104	−	0.583331i
$957$	34.7067	−	7.92157i	1.12191	−	0.256068i
$958$	−17.2664	+	5.58739i	−0.557852	+	0.180520i
$959$	2.72033	−	11.2088i	0.0878440	−	0.361952i
$960$	−6.19792	+	1.96481i	−0.200037	+	0.0634140i
$961$	4.58292			0.147836
$962$	−0.378156	+	0.0335792i	−0.0121922	+	0.00108264i
$963$	8.87990	+	2.02678i	0.286151	+	0.0653120i
$964$	−14.5101	−	20.0721i	−0.467337	−	0.646478i
$965$	7.78178	−	6.20576i	0.250504	−	0.199771i
$966$	−26.6958	+	2.00252i	−0.858922	+	0.0644301i
$967$	−8.33362	−	6.64584i	−0.267991	−	0.213716i	0.480269	−	0.877121i	$-0.340539\pi$
$967$	−8.33362	−	6.64584i	−0.267991	−	0.213716i	−0.748260	+	0.663405i	$0.769110\pi$
$968$	49.7374	−	2.05507i	1.59862	−	0.0660524i
$969$	−12.2740	−	9.78816i	−0.394297	−	0.314441i
$970$	1.43537	+	2.40894i	0.0460869	+	0.0773463i
$971$	19.5848	+	24.5586i	0.628507	+	0.788123i	0.989514	−	0.144440i	$-0.0461382\pi$
$971$	19.5848	+	24.5586i	0.628507	+	0.788123i	−0.361006	+	0.932563i	$0.617567\pi$
$972$	1.92665	+	0.536680i	0.0617973	+	0.0172140i
$973$	−23.7036	+	11.0178i	−0.759903	+	0.353215i
$974$	23.4705	−	13.9849i	0.752043	−	0.448106i
$975$	−5.75873	+	11.9581i	−0.184427	+	0.382967i
$976$	−3.68609	+	2.40795i	−0.117989	+	0.0770767i
$977$	18.9881	+	9.14420i	0.607484	+	0.292549i	0.712226	−	0.701951i	$-0.247687\pi$
$977$	18.9881	+	9.14420i	0.607484	+	0.292549i	−0.104742	+	0.994499i	$0.533402\pi$
$978$	−4.38051	+	6.61898i	−0.140073	+	0.211651i
$979$	−76.4339			−2.44284
$980$	1.69749	+	11.2510i	0.0542243	+	0.359400i
$981$	−5.81119			−0.185537
$982$	6.97774	−	10.5434i	0.222669	−	0.336454i
$983$	−11.6904	−	5.62979i	−0.372865	−	0.179562i	0.238061	−	0.971250i	$-0.423488\pi$
$983$	−11.6904	−	5.62979i	−0.372865	−	0.179562i	−0.610926	+	0.791688i	$0.709203\pi$
$984$	12.4931	+	23.4168i	0.398264	+	0.746500i
$985$	−2.61054	+	5.42085i	−0.0831788	+	0.172723i
$986$	−38.9951	+	23.2353i	−1.24186	+	0.739962i
$987$	−6.07395	+	25.0271i	−0.193336	+	0.796621i
$988$	5.34433	−	19.1858i	0.170026	−	0.610383i
$989$	−15.2861	−	19.1682i	−0.486071	−	0.609513i
$990$	−3.14637	−	5.28045i	−0.0999981	−	0.167824i
$991$	47.2719	+	37.6981i	1.50164	+	1.19752i	0.924679	+	0.380748i	$0.124333\pi$
$991$	47.2719	+	37.6981i	1.50164	+	1.19752i	0.576962	+	0.816771i	$0.304238\pi$
$992$	32.9422	−	7.31204i	1.04592	−	0.232157i
$993$	−16.4273	−	13.1003i	−0.521304	−	0.415726i
$994$	−40.7476	+	23.5296i	−1.29243	+	0.746313i
$995$	−11.3865	+	9.08044i	−0.360977	+	0.287869i
$996$	−6.04979	+	4.37338i	−0.191695	+	0.138576i
$997$	−6.42038	−	1.46541i	−0.203336	−	0.0464100i	0.119640	−	0.992817i	$-0.461826\pi$
$997$	−6.42038	−	1.46541i	−0.203336	−	0.0464100i	−0.322975	+	0.946407i	$0.604683\pi$
$998$	59.5468	−	5.28758i	1.88492	−	0.167375i
$999$	0.0877694			0.00277690

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.6	✓	168
4.3	odd	2		588.2.x.b.55.22	yes	168
49.41	odd	14		588.2.x.b.139.22	yes	168
196.139	even	14	inner	588.2.x.a.139.6	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.6	✓	168	1.1	even	1	trivial
588.2.x.a.139.6	yes	168	196.139	even	14	inner
588.2.x.b.55.22	yes	168	4.3	odd	2
588.2.x.b.139.22	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.17933 - 0.780496i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.781653 + 1.84093i) q^{4} +(-0.352634 + 0.732252i) q^{5} +(0.723898 + 1.21490i) q^{6} +(-1.67777 + 2.04575i) q^{7} +(0.515009 - 2.78114i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.17933 - 0.780496i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(0.781653 + 1.84093i) q^{4} +(-0.352634 + 0.732252i) q^{5} +(0.723898 + 1.21490i) q^{6} +(-1.67777 + 2.04575i) q^{7} +(0.515009 - 2.78114i) q^{8} +(0.623490 + 0.781831i) q^{9} +(0.987392 - 0.588339i) q^{10} +(-4.18114 - 3.33435i) q^{11} +(0.0945045 - 1.99777i) q^{12} +(-2.39129 - 1.90699i) q^{13} +(3.57535 - 1.10313i) q^{14} +(0.635424 - 0.506734i) q^{15} +(-2.77804 + 2.87793i) q^{16} +(4.70094 + 1.07296i) q^{17} +(-0.125086 - 1.40867i) q^{18} +3.25582 q^{19} +(-1.62366 - 0.0768074i) q^{20} +(2.39923 - 1.11520i) q^{21} +(2.32851 + 7.19567i) q^{22} +(6.97540 - 1.59209i) q^{23} +(-1.67070 + 2.28227i) q^{24} +(2.70561 + 3.39272i) q^{25} +(1.33173 + 4.11536i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-5.07751 - 1.48958i) q^{28} +(1.48125 - 6.48980i) q^{29} +(-1.14488 + 0.101662i) q^{30} +5.96514 q^{31} +(5.52245 - 1.22579i) q^{32} +(2.32036 + 4.81827i) q^{33} +(-4.70653 - 4.93444i) q^{34} +(-0.906368 - 1.94995i) q^{35} +(-0.951944 + 1.75892i) q^{36} +(-0.0195305 + 0.0855689i) q^{37} +(-3.83969 - 2.54115i) q^{38} +(1.32706 + 2.75568i) q^{39} +(1.85489 + 1.35784i) q^{40} +(4.07141 - 8.45438i) q^{41} +(-3.69991 - 0.557396i) q^{42} +(-1.48677 - 3.08732i) q^{43} +(2.87010 - 10.3035i) q^{44} +(-0.792361 + 0.180851i) q^{45} +(-9.46894 - 3.56667i) q^{46} +(-6.06901 + 7.61030i) q^{47} +(3.75161 - 1.38758i) q^{48} +(-1.37020 - 6.86459i) q^{49} +(-0.542805 - 6.11287i) q^{50} +(-3.76986 - 3.00636i) q^{51} +(1.64147 - 5.89279i) q^{52} +(0.103227 + 0.452268i) q^{53} +(-0.498501 + 1.32344i) q^{54} +(3.91599 - 1.88584i) q^{55} +(4.82547 + 5.71969i) q^{56} +(-2.93339 - 1.41265i) q^{57} +(-6.81215 + 6.49752i) q^{58} +(10.6296 - 5.11895i) q^{59} +(1.42954 + 0.773681i) q^{60} +(1.07313 + 0.244934i) q^{61} +(-7.03489 - 4.65577i) q^{62} +(-2.64550 - 0.0362252i) q^{63} +(-7.46953 - 2.86463i) q^{64} +(2.23964 - 1.07855i) q^{65} +(1.02417 - 7.49338i) q^{66} +11.6630i q^{67} +(1.69926 + 9.49277i) q^{68} +(-6.97540 - 1.59209i) q^{69} +(-0.453017 + 3.00705i) q^{70} +(-12.2602 + 2.79831i) q^{71} +(2.49549 - 1.33137i) q^{72} +(6.31682 - 5.03749i) q^{73} +(0.0898191 - 0.0856707i) q^{74} +(-0.965620 - 4.23066i) q^{75} +(2.54492 + 5.99373i) q^{76} +(13.8362 - 2.95932i) q^{77} +(0.585744 - 4.28563i) q^{78} -11.3126i q^{79} +(-1.12774 - 3.04908i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-11.4002 + 6.79280i) q^{82} +(-2.32718 - 2.91819i) q^{83} +(3.92838 + 3.54512i) q^{84} +(-2.44338 + 3.06391i) q^{85} +(-0.656237 + 4.80140i) q^{86} +(-4.15038 + 5.20441i) q^{87} +(-11.4266 + 9.91114i) q^{88} +(11.1742 - 8.91114i) q^{89} +(1.07561 + 0.405151i) q^{90} +(7.91324 - 1.69250i) q^{91} +(8.38326 + 11.5968i) q^{92} +(-5.37441 - 2.58818i) q^{93} +(13.0972 - 4.23824i) q^{94} +(-1.14811 + 2.38408i) q^{95} +(-5.50741 - 1.29170i) q^{96} +2.43970i q^{97} +(-3.74186 + 9.16507i) q^{98} -5.34788i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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