LMFDB - Embedded newform 232.2.o.a.109.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(5,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 11]))

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

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

chi := DirichletCharacter("232.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.o (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:	$1.85252932689$
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			109.2
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39425 + 0.236788i) q^{2} +(-2.95578 - 1.42343i) q^{3} +(1.88786 - 0.660283i) q^{4} +(2.43245 - 0.555190i) q^{5} +(4.45815 + 1.28472i) q^{6} +(-0.123550 - 0.0594984i) q^{7} +(-2.47580 + 1.36762i) q^{8} +(4.84004 + 6.06921i) q^{9} +O(q^{10})$	\(q+(-1.39425 + 0.236788i) q^{2} +(-2.95578 - 1.42343i) q^{3} +(1.88786 - 0.660283i) q^{4} +(2.43245 - 0.555190i) q^{5} +(4.45815 + 1.28472i) q^{6} +(-0.123550 - 0.0594984i) q^{7} +(-2.47580 + 1.36762i) q^{8} +(4.84004 + 6.06921i) q^{9} +(-3.25997 + 1.35005i) q^{10} +(2.20177 - 2.76093i) q^{11} +(-6.51998 - 0.735587i) q^{12} +(-3.18309 - 2.53843i) q^{13} +(0.186347 + 0.0537005i) q^{14} +(-7.98006 - 1.82140i) q^{15} +(3.12805 - 2.49305i) q^{16} -3.76154i q^{17} +(-8.18533 - 7.31593i) q^{18} +(-2.61274 + 1.25823i) q^{19} +(4.22554 - 2.65423i) q^{20} +(0.280494 + 0.351729i) q^{21} +(-2.41606 + 4.37077i) q^{22} +(1.18004 - 5.17008i) q^{23} +(9.26466 - 0.518263i) q^{24} +(1.10371 - 0.531519i) q^{25} +(5.03909 + 2.78548i) q^{26} +(-3.47694 - 15.2335i) q^{27} +(-0.272530 - 0.0307470i) q^{28} +(-5.29924 - 0.958136i) q^{29} +(11.5575 + 0.649898i) q^{30} +(-3.56397 + 0.813453i) q^{31} +(-3.77096 + 4.21662i) q^{32} +(-10.4379 + 5.02664i) q^{33} +(0.890689 + 5.24453i) q^{34} +(-0.333561 - 0.0761330i) q^{35} +(13.1447 + 8.26205i) q^{36} +(2.82828 + 3.54655i) q^{37} +(3.34487 - 2.37295i) q^{38} +(5.79524 + 12.0339i) q^{39} +(-5.26297 + 4.70121i) q^{40} -12.3032i q^{41} +(-0.474364 - 0.423980i) q^{42} +(-1.00807 + 4.41665i) q^{43} +(2.33364 - 6.66604i) q^{44} +(15.1427 + 12.0759i) q^{45} +(-0.421053 + 7.48780i) q^{46} +(6.02296 + 4.80315i) q^{47} +(-12.7945 + 2.91635i) q^{48} +(-4.35270 - 5.45812i) q^{49} +(-1.41299 + 1.00242i) q^{50} +(-5.35430 + 11.1183i) q^{51} +(-7.68531 - 2.69046i) q^{52} +(7.89622 - 1.80226i) q^{53} +(8.45483 + 20.4160i) q^{54} +(3.82284 - 7.93820i) q^{55} +(0.387256 - 0.0216630i) q^{56} +9.51368 q^{57} +(7.61534 + 0.0810825i) q^{58} -1.03564i q^{59} +(-16.2679 + 1.83055i) q^{60} +(-1.11458 - 0.536756i) q^{61} +(4.77645 - 1.97806i) q^{62} +(-0.236876 - 1.03782i) q^{63} +(4.25921 - 6.77193i) q^{64} +(-9.15199 - 4.40737i) q^{65} +(13.3628 - 9.47997i) q^{66} +(1.68107 - 1.34061i) q^{67} +(-2.48369 - 7.10128i) q^{68} +(-10.8472 + 13.6019i) q^{69} +(0.483094 + 0.0271653i) q^{70} +(-1.30182 + 1.63243i) q^{71} +(-20.2834 - 8.40684i) q^{72} +(-2.02519 - 0.462236i) q^{73} +(-4.78311 - 4.27507i) q^{74} -4.01891 q^{75} +(-4.10170 + 4.10051i) q^{76} +(-0.436298 + 0.210110i) q^{77} +(-10.9295 - 15.4061i) q^{78} +(9.96376 - 7.94583i) q^{79} +(6.22470 - 7.80087i) q^{80} +(-6.22454 + 27.2715i) q^{81} +(2.91325 + 17.1537i) q^{82} +(-1.90287 - 3.95136i) q^{83} +(0.761775 + 0.478810i) q^{84} +(-2.08837 - 9.14975i) q^{85} +(0.359693 - 6.39662i) q^{86} +(14.2996 + 10.3751i) q^{87} +(-1.67523 + 9.84670i) q^{88} +(14.1810 - 3.23671i) q^{89} +(-23.9721 - 13.2512i) q^{90} +(0.242237 + 0.503010i) q^{91} +(-1.18597 - 10.5396i) q^{92} +(11.6922 + 2.66867i) q^{93} +(-9.53484 - 5.27063i) q^{94} +(-5.65678 + 4.51113i) q^{95} +(17.1482 - 7.09571i) q^{96} +(-0.110679 - 0.229827i) q^{97} +(7.36117 + 6.57931i) q^{98} +27.4133 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$	$1$

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 $

$2$	−1.39425	+	0.236788i	−0.985883	+	0.167434i
$2$	−1.39425	+	0.236788i	−0.985883	+	0.167434i
$3$	−2.95578	−	1.42343i	−1.70652	−	0.821818i	−0.992577	−	0.121617i	$-0.961192\pi$
$3$	−2.95578	−	1.42343i	−1.70652	−	0.821818i	−0.713946	−	0.700201i	$-0.753094\pi$
$4$	1.88786	−	0.660283i	0.943931	−	0.330142i
$5$	2.43245	−	0.555190i	1.08782	−	0.248288i	0.359239	−	0.933245i	$-0.383036\pi$
$5$	2.43245	−	0.555190i	1.08782	−	0.248288i	0.728583	+	0.684957i	$0.240179\pi$
$6$	4.45815	+	1.28472i	1.82003	+	0.524486i
$7$	−0.123550	−	0.0594984i	−0.0466974	−	0.0224883i	0.410389	−	0.911910i	$-0.365393\pi$
$7$	−0.123550	−	0.0594984i	−0.0466974	−	0.0224883i	−0.457087	+	0.889422i	$0.651107\pi$
$8$	−2.47580	+	1.36762i	−0.875329	+	0.483528i
$9$	4.84004	+	6.06921i	1.61335	+	2.02307i
$10$	−3.25997	+	1.35005i	−1.03089	+	0.426922i
$11$	2.20177	−	2.76093i	0.663857	−	0.832451i	−0.329900	−	0.944016i	$-0.607015\pi$
$11$	2.20177	−	2.76093i	0.663857	−	0.832451i	0.993757	+	0.111565i	$0.0355864\pi$
$12$	−6.51998	−	0.735587i	−1.88216	−	0.212346i
$13$	−3.18309	−	2.53843i	−0.882829	−	0.704033i	0.0731958	−	0.997318i	$-0.476680\pi$
$13$	−3.18309	−	2.53843i	−0.882829	−	0.704033i	−0.956025	+	0.293285i	$0.905252\pi$
$14$	0.186347	+	0.0537005i	0.0498035	+	0.0143521i
$15$	−7.98006	−	1.82140i	−2.06044	−	0.470282i
$16$	3.12805	−	2.49305i	0.782013	−	0.623262i
$17$		−	3.76154i		−	0.912309i	−0.889901	−	0.456154i	$-0.849226\pi$
$17$		−	3.76154i		−	0.912309i	0.889901	−	0.456154i	$-0.150774\pi$
$18$	−8.18533	−	7.31593i	−1.92930	−	1.72438i
$19$	−2.61274	+	1.25823i	−0.599403	+	0.288657i	−0.708877	−	0.705333i	$-0.750798\pi$
$19$	−2.61274	+	1.25823i	−0.599403	+	0.288657i	0.109474	+	0.993990i	$0.465083\pi$
$20$	4.22554	−	2.65423i	0.944860	−	0.593503i
$21$	0.280494	+	0.351729i	0.0612089	+	0.0767535i
$22$	−2.41606	+	4.37077i	−0.515105	+	0.931852i
$23$	1.18004	−	5.17008i	0.246055	−	1.07804i	−0.689342	−	0.724436i	$-0.742100\pi$
$23$	1.18004	−	5.17008i	0.246055	−	1.07804i	0.935397	−	0.353600i	$-0.115043\pi$
$24$	9.26466	−	0.518263i	1.89114	−	0.105790i
$25$	1.10371	−	0.531519i	0.220742	−	0.106304i
$26$	5.03909	+	2.78548i	0.988246	+	0.546278i
$27$	−3.47694	−	15.2335i	−0.669138	−	2.93168i
$28$	−0.272530	−	0.0307470i	−0.0515034	−	0.00581064i
$29$	−5.29924	−	0.958136i	−0.984045	−	0.177921i
$29$	−5.29924	−	0.958136i	−0.984045	−	0.177921i
$30$	11.5575	+	0.649898i	2.11010	+	0.118655i
$31$	−3.56397	+	0.813453i	−0.640108	+	0.146100i	−0.530243	−	0.847846i	$-0.677899\pi$
$31$	−3.56397	+	0.813453i	−0.640108	+	0.146100i	−0.109865	+	0.993946i	$0.535042\pi$
$32$	−3.77096	+	4.21662i	−0.666618	+	0.745400i
$33$	−10.4379	+	5.02664i	−1.81701	+	0.875026i
$34$	0.890689	+	5.24453i	0.152752	+	0.899430i
$35$	−0.333561	−	0.0761330i	−0.0563820	−	0.0128688i
$36$	13.1447	+	8.26205i	2.19079	+	1.37701i
$37$	2.82828	+	3.54655i	0.464966	+	0.583050i	0.957931	−	0.287000i	$-0.0926580\pi$
$37$	2.82828	+	3.54655i	0.464966	+	0.583050i	−0.492964	+	0.870050i	$0.664087\pi$
$38$	3.34487	−	2.37295i	0.542610	−	0.384943i
$39$	5.79524	+	12.0339i	0.927981	+	1.92697i
$40$	−5.26297	+	4.70121i	−0.832148	+	0.743327i
$41$		−	12.3032i		−	1.92143i	−0.277530	−	0.960717i	$-0.589516\pi$
$41$		−	12.3032i		−	1.92143i	0.277530	−	0.960717i	$-0.410484\pi$
$42$	−0.474364	−	0.423980i	−0.0731960	−	0.0654215i
$43$	−1.00807	+	4.41665i	−0.153730	+	0.673533i	0.838052	+	0.545590i	$0.183695\pi$
$43$	−1.00807	+	4.41665i	−0.153730	+	0.673533i	−0.991782	+	0.127943i	$0.959163\pi$
$44$	2.33364	−	6.66604i	0.351809	−	1.00494i
$45$	15.1427	+	12.0759i	2.25734	+	1.80017i
$46$	−0.421053	+	7.48780i	−0.0620808	+	1.10402i
$47$	6.02296	+	4.80315i	0.878540	+	0.700612i	0.955046	−	0.296457i	$-0.0958052\pi$
$47$	6.02296	+	4.80315i	0.878540	+	0.700612i	−0.0765066	+	0.997069i	$0.524377\pi$
$48$	−12.7945	+	2.91635i	−1.84673	+	0.420939i
$49$	−4.35270	−	5.45812i	−0.621815	−	0.779731i
$50$	−1.41299	+	1.00242i	−0.199827	+	0.141763i
$51$	−5.35430	+	11.1183i	−0.749752	+	1.55688i
$52$	−7.68531	−	2.69046i	−1.06576	−	0.373100i
$53$	7.89622	−	1.80226i	1.08463	−	0.247560i	0.357398	−	0.933952i	$-0.383664\pi$
$53$	7.89622	−	1.80226i	1.08463	−	0.247560i	0.727231	+	0.686392i	$0.240807\pi$
$54$	8.45483	+	20.4160i	1.15056	+	2.77826i
$55$	3.82284	−	7.93820i	0.515471	−	1.07039i
$56$	0.387256	−	0.0216630i	0.0517493	−	0.00289484i
$57$	9.51368			1.26012
$58$	7.61534	+	0.0810825i	0.999943	+	0.0106467i
$59$		−	1.03564i		−	0.134829i	−0.997725	−	0.0674147i	$-0.978525\pi$
$59$		−	1.03564i		−	0.134829i	0.997725	−	0.0674147i	$-0.0214750\pi$
$60$	−16.2679	+	1.83055i	−2.10018	+	0.236323i
$61$	−1.11458	−	0.536756i	−0.142708	−	0.0687245i	0.361167	−	0.932501i	$-0.382378\pi$
$61$	−1.11458	−	0.536756i	−0.142708	−	0.0687245i	−0.503875	+	0.863777i	$0.668093\pi$
$62$	4.77645	−	1.97806i	0.606609	−	0.251214i
$63$	−0.236876	−	1.03782i	−0.0298436	−	0.130753i
$64$	4.25921	−	6.77193i	0.532402	−	0.846492i
$65$	−9.15199	−	4.40737i	−1.13517	−	0.546667i
$66$	13.3628	−	9.47997i	1.64485	−	1.16690i
$67$	1.68107	−	1.34061i	0.205376	−	0.163781i	−0.515401	−	0.856949i	$-0.672357\pi$
$67$	1.68107	−	1.34061i	0.205376	−	0.163781i	0.720776	+	0.693168i	$0.243786\pi$
$68$	−2.48369	−	7.10128i	−0.301191	−	0.861157i
$69$	−10.8472	+	13.6019i	−1.30585	+	1.63748i
$70$	0.483094	+	0.0271653i	0.0577408	+	0.00324687i
$71$	−1.30182	+	1.63243i	−0.154498	+	0.193734i	−0.853056	−	0.521819i	$-0.825254\pi$
$71$	−1.30182	+	1.63243i	−0.154498	+	0.193734i	0.698559	+	0.715553i	$0.253825\pi$
$72$	−20.2834	−	8.40684i	−2.39042	−	0.990755i
$73$	−2.02519	−	0.462236i	−0.237030	−	0.0541006i	0.102356	−	0.994748i	$-0.467362\pi$
$73$	−2.02519	−	0.462236i	−0.237030	−	0.0541006i	−0.339386	+	0.940647i	$0.610219\pi$
$74$	−4.78311	−	4.27507i	−0.556025	−	0.496967i
$75$	−4.01891			−0.464064
$76$	−4.10170	+	4.10051i	−0.470497	+	0.470360i
$77$	−0.436298	+	0.210110i	−0.0497208	+	0.0239443i
$78$	−10.9295	−	15.4061i	−1.23752	−	1.74439i
$79$	9.96376	−	7.94583i	1.12101	−	0.893976i	0.125831	−	0.992052i	$-0.459840\pi$
$79$	9.96376	−	7.94583i	1.12101	−	0.893976i	0.995179	+	0.0980760i	$0.0312688\pi$
$80$	6.22470	−	7.80087i	0.695943	−	0.872163i
$81$	−6.22454	+	27.2715i	−0.691616	+	3.03017i
$82$	2.91325	+	17.1537i	0.321714	+	1.89431i
$83$	−1.90287	−	3.95136i	−0.208868	−	0.433718i	0.770047	−	0.637987i	$-0.220233\pi$
$83$	−1.90287	−	3.95136i	−0.208868	−	0.433718i	−0.978915	+	0.204269i	$0.934518\pi$
$84$	0.761775	+	0.478810i	0.0831165	+	0.0522424i
$85$	−2.08837	−	9.14975i	−0.226516	−	0.992430i
$86$	0.359693	−	6.39662i	0.0387867	−	0.689765i
$87$	14.2996	+	10.3751i	1.53308	+	1.11233i
$88$	−1.67523	+	9.84670i	−0.178581	+	1.04966i
$89$	14.1810	−	3.23671i	1.50318	−	0.343091i	0.609858	−	0.792511i	$-0.291226\pi$
$89$	14.1810	−	3.23671i	1.50318	−	0.343091i	0.893321	+	0.449420i	$0.148369\pi$
$90$	−23.9721	−	13.2512i	−2.52688	−	1.39680i
$91$	0.242237	+	0.503010i	0.0253933	+	0.0527298i
$92$	−1.18597	−	10.5396i	−0.123646	−	1.09883i
$93$	11.6922	+	2.66867i	1.21243	+	0.276728i
$94$	−9.53484	−	5.27063i	−0.983444	−	0.543624i
$95$	−5.65678	+	4.51113i	−0.580374	+	0.462832i
$96$	17.1482	−	7.09571i	1.75018	−	0.724203i
$97$	−0.110679	−	0.229827i	−0.0112377	−	0.0233354i	0.895274	−	0.445515i	$-0.146979\pi$
$97$	−0.110679	−	0.229827i	−0.0112377	−	0.0233354i	−0.906512	+	0.422180i	$0.861265\pi$
$98$	7.36117	+	6.57931i	0.743591	+	0.664611i
$99$	27.4133			2.75514
$100$	1.73270	−	1.73220i	0.173270	−	0.173220i
$101$	−2.92936	+	12.8344i	−0.291482	+	1.27707i	0.590981	+	0.806685i	$0.298741\pi$
$101$	−2.92936	+	12.8344i	−0.291482	+	1.27707i	−0.882463	+	0.470381i	$0.844117\pi$
$102$	4.83254	−	16.7695i	0.478493	−	1.66043i
$103$	−8.45523	+	10.6025i	−0.833119	+	1.04470i	0.165172	+	0.986265i	$0.447182\pi$
$103$	−8.45523	+	10.6025i	−0.833119	+	1.04470i	−0.998291	+	0.0584334i	$0.981389\pi$
$104$	11.3523	+	1.93139i	1.11319	+	0.189388i
$105$	0.877563	+	0.699833i	0.0856414	+	0.0682967i
$106$	−10.5826	+	4.38253i	−1.02787	+	0.425669i
$107$	5.31968	−	4.24230i	0.514273	−	0.410119i	−0.331668	−	0.943396i	$-0.607611\pi$
$107$	5.31968	−	4.24230i	0.514273	−	0.410119i	0.845940	+	0.533277i	$0.179040\pi$
$108$	−16.6224	−	26.4629i	−1.59949	−	2.54640i
$109$	−1.54518	+	3.20859i	−0.148001	+	0.307328i	−0.961769	−	0.273863i	$-0.911699\pi$
$109$	−1.54518	+	3.20859i	−0.148001	+	0.307328i	0.813768	+	0.581190i	$0.197413\pi$
$110$	−3.45032	+	11.9730i	−0.328975	+	1.14158i
$111$	−3.31152	−	14.5087i	−0.314315	−	1.37711i
$112$	−0.534802	+	0.121901i	−0.0505340	+	0.0115186i
$113$	0.527800	−	1.09599i	0.0496512	−	0.103102i	−0.874667	−	0.484724i	$-0.838920\pi$
$113$	0.527800	−	1.09599i	0.0496512	−	0.103102i	0.924318	+	0.381622i	$0.124634\pi$
$114$	−13.2644	+	2.25273i	−1.24233	+	0.210987i
$115$		−	13.2311i		−	1.23380i
$116$	−10.6369	+	1.69017i	−0.987610	+	0.156929i
$117$		−	31.6049i		−	2.92187i
$118$	0.245228	+	1.44395i	0.0225751	+	0.132926i
$119$	−0.223806	+	0.464737i	−0.0205162	+	0.0426024i
$120$	22.2480	−	6.40429i	2.03096	−	0.584629i
$121$	−0.327215	−	1.43362i	−0.0297468	−	0.130329i
$122$	1.68111	+	0.484451i	0.152200	+	0.0438601i
$123$	−17.5127	+	36.3655i	−1.57907	+	3.27897i
$124$	−6.19118	+	3.88892i	−0.555984	+	0.349235i
$125$	−7.36373	+	5.87238i	−0.658632	+	0.525241i
$126$	0.576009	+	1.39089i	0.0513149	+	0.123911i
$127$	8.35010	+	6.65898i	0.740952	+	0.590889i	0.919522	−	0.393038i	$-0.128576\pi$
$127$	8.35010	+	6.65898i	0.740952	+	0.590889i	−0.178571	+	0.983927i	$0.557147\pi$
$128$	−4.33489	+	10.4503i	−0.383154	+	0.923684i
$129$	9.26645	−	11.6198i	0.815865	−	1.02306i
$130$	13.8038	+	3.97789i	1.21067	+	0.348884i
$131$	3.28326	−	14.3849i	0.286860	−	1.25681i	−0.601949	−	0.798535i	$-0.705609\pi$
$131$	3.28326	−	14.3849i	0.286860	−	1.25681i	0.888808	−	0.458279i	$-0.151534\pi$
$132$	−16.3864	+	16.3816i	−1.42625	+	1.42584i
$133$	0.397665			0.0344819
$134$	−2.02639	+	2.26720i	−0.175054	+	0.195856i
$135$	−16.9149	−	35.1242i	−1.45581	−	3.02301i
$136$	5.14438	+	9.31285i	0.441127	+	0.798570i
$137$	−10.2389	+	8.16523i	−0.874766	+	0.697602i	−0.954178	−	0.299239i	$-0.903267\pi$
$137$	−10.2389	+	8.16523i	−0.874766	+	0.697602i	0.0794122	+	0.996842i	$0.474696\pi$
$138$	11.9029	−	21.5330i	1.01324	−	1.83301i
$139$	0.120815	+	0.0275752i	0.0102474	+	0.00233890i	0.227642	−	0.973745i	$-0.426899\pi$
$139$	0.120815	+	0.0275752i	0.0102474	+	0.00233890i	−0.217394	+	0.976084i	$0.569756\pi$
$140$	−0.679986	+	0.0765158i	−0.0574693	+	0.00646676i
$141$	−10.9656	−	22.7704i	−0.923472	−	1.91761i
$142$	1.42852	−	2.58428i	0.119879	−	0.216868i
$143$	−14.0168	+	3.19925i	−1.17215	+	0.267535i
$144$	30.2707	+	6.91837i	2.52256	+	0.576531i
$145$	−13.4221	+	0.611473i	−1.11464	+	0.0507801i
$146$	2.93307	+	0.164932i	0.242742	+	0.0136498i
$147$	5.09640	+	22.3288i	0.420344	+	1.84165i
$148$	7.68113	+	4.82794i	0.631385	+	0.396854i
$149$	6.66658	+	13.8433i	0.546148	+	1.13409i	0.973221	+	0.229871i	$0.0738303\pi$
$149$	6.66658	+	13.8433i	0.546148	+	1.13409i	−0.427073	+	0.904217i	$0.640455\pi$
$150$	5.60337	−	0.951631i	0.457513	−	0.0777003i
$151$	−1.70091	+	7.45215i	−0.138418	+	0.606448i	0.857365	+	0.514708i	$0.172100\pi$
$151$	−1.70091	+	7.45215i	−0.138418	+	0.606448i	−0.995783	+	0.0917394i	$0.970757\pi$
$152$	4.74784	−	6.68836i	0.385101	−	0.542498i
$153$	22.8296	−	18.2060i	1.84566	−	1.47187i
$154$	0.558557	−	0.396256i	0.0450098	−	0.0319312i
$155$	−8.21754	+	3.95736i	−0.660049	+	0.317863i
$156$	18.8864	+	18.8919i	1.51212	+	1.51257i
$157$	18.8658			1.50566			0.752829	−	0.658216i	$-0.228689\pi$
$157$	18.8658			1.50566			0.752829	+	0.658216i	$0.228689\pi$
$158$	−12.0105	+	13.4378i	−0.955503	+	1.06905i
$159$	−25.9049	−	5.91263i	−2.05439	−	0.468902i
$160$	−6.83163	+	12.3503i	−0.540088	+	0.976376i
$161$	−0.453404	+	0.568551i	−0.0357333	+	0.0448081i
$162$	2.22100	−	39.4972i	0.174498	−	3.10319i
$163$	3.71946	−	4.66405i	0.291330	−	0.365317i	−0.614530	−	0.788894i	$-0.710654\pi$
$163$	3.71946	−	4.66405i	0.291330	−	0.365317i	0.905860	+	0.423577i	$0.139226\pi$
$164$	−8.12358	−	23.2267i	−0.634345	−	1.81370i
$165$	−22.5990	+	18.0221i	−1.75933	+	1.40302i
$166$	3.58872	+	5.05860i	0.278538	+	0.392624i
$167$	1.54388	+	0.743496i	0.119469	+	0.0575334i	0.492664	−	0.870220i	$-0.336023\pi$
$167$	1.54388	+	0.743496i	0.119469	+	0.0575334i	−0.373194	+	0.927753i	$0.621738\pi$
$168$	−1.17548	−	0.487201i	−0.0906903	−	0.0375884i
$169$	0.795657	+	3.48600i	0.0612044	+	0.268154i
$170$	5.07826	+	12.2625i	0.389485	+	0.940494i
$171$	−20.2822	−	9.76738i	−1.55102	−	0.746930i
$172$	1.01314	+	9.00365i	0.0772512	+	0.686522i
$173$		−	4.17859i		−	0.317692i	−0.987303	−	0.158846i	$-0.949223\pi$
$173$		−	4.17859i		−	0.317692i	0.987303	−	0.158846i	$-0.0507774\pi$
$174$	−22.3939	−	11.0796i	−1.69768	−	0.839940i
$175$	−0.167988			−0.0126987
$176$	0.00411279	−	14.1254i	0.000310013	−	1.06474i
$177$	−1.47417	+	3.06114i	−0.110805	+	0.230089i
$178$	−19.0054	+	7.87067i	−1.42451	+	0.589931i
$179$	15.5473	−	3.54856i	1.16206	−	0.265232i	0.402343	−	0.915489i	$-0.368196\pi$
$179$	15.5473	−	3.54856i	1.16206	−	0.265232i	0.759715	+	0.650257i	$0.225339\pi$
$180$	36.5608	+	12.7992i	2.72508	+	0.953993i
$181$	6.35648	−	13.1994i	0.472473	−	0.981100i	−0.519479	−	0.854483i	$-0.673874\pi$
$181$	6.35648	−	13.1994i	0.472473	−	0.981100i	0.991952	−	0.126617i	$-0.0404119\pi$
$182$	−0.456845	−	0.643963i	−0.0338636	−	0.0477337i
$183$	2.53044	+	3.17307i	0.187055	+	0.234560i
$184$	4.14918	+	14.4140i	0.305882	+	1.06261i
$185$	8.84865	+	7.05656i	0.650566	+	0.518809i
$186$	−16.9338	−	0.952217i	−1.24164	−	0.0698199i
$187$	−10.3854	−	8.28204i	−0.759452	−	0.605643i
$188$	14.5420	+	5.09083i	1.06058	+	0.371287i
$189$	−0.476792	+	2.08896i	−0.0346815	+	0.151950i
$190$	6.81878	−	7.62910i	0.494686	−	0.553473i
$191$			8.80782i			0.637311i	0.947871	+	0.318656i	$0.103231\pi$
$191$			8.80782i			0.637311i	−0.947871	+	0.318656i	$0.896769\pi$
$192$	−22.2287	+	13.9537i	−1.60422	+	1.00702i
$193$	−0.821625	−	1.70612i	−0.0591418	−	0.122809i	0.869303	−	0.494280i	$-0.164568\pi$
$193$	−0.821625	−	1.70612i	−0.0591418	−	0.122809i	−0.928445	+	0.371470i	$0.878854\pi$
$194$	0.208734	+	0.294228i	0.0149862	+	0.0211244i
$195$	20.7777	+	26.0545i	1.48792	+	1.86580i
$196$	−11.8212	−	7.43016i	−0.844372	−	0.530726i
$197$	−5.33861	−	1.21850i	−0.380360	−	0.0868147i	0.0280660	−	0.999606i	$-0.491065\pi$
$197$	−5.33861	−	1.21850i	−0.380360	−	0.0868147i	−0.408426	+	0.912791i	$0.633922\pi$
$198$	−38.2209	+	6.49114i	−2.71624	+	0.461305i
$199$	−4.46468	+	2.15008i	−0.316493	+	0.152415i	−0.585385	−	0.810755i	$-0.699057\pi$
$199$	−4.46468	+	2.15008i	−0.316493	+	0.152415i	0.268892	+	0.963170i	$0.413342\pi$
$200$	−2.00566	+	2.82540i	−0.141821	+	0.199786i
$201$	−6.87715	+	1.56966i	−0.485077	+	0.110716i
$202$	1.04523	−	18.5879i	0.0735423	−	1.30784i
$203$	0.597712	+	0.433674i	0.0419512	+	0.0304379i
$204$	−2.76694	+	24.5252i	−0.193725	+	1.71711i
$205$	−6.83060	−	29.9268i	−0.477070	−	2.09018i
$206$	9.27815	−	16.7847i	0.646439	−	1.16944i
$207$	37.0897	−	17.8615i	2.57791	−	1.24146i
$208$	−16.2853	−	0.00474165i	−1.12918	−	0.000328775i
$209$	−2.27876	+	9.98389i	−0.157625	+	0.690600i
$210$	−1.38925	−	0.767945i	−0.0958676	−	0.0529933i
$211$	12.3107	+	15.4372i	0.847506	+	1.06274i	0.997257	+	0.0740148i	$0.0235812\pi$
$211$	12.3107	+	15.4372i	0.847506	+	1.06274i	−0.149752	+	0.988724i	$0.547847\pi$
$212$	13.7170	−	8.61617i	0.942086	−	0.591761i
$213$	6.17156	−	2.97207i	0.422868	−	0.203643i
$214$	−6.41243	+	7.17447i	−0.438345	+	0.490436i
$215$			11.3029i			0.770854i
$216$	29.4419	+	32.9600i	2.00327	+	2.24264i
$217$	0.488726	+	0.111549i	0.0331769	+	0.00757241i
$218$	1.39461	−	4.83946i	0.0944546	−	0.327770i
$219$	5.32806	+	4.24898i	0.360037	+	0.287120i
$220$	1.97553	−	17.5104i	0.133190	−	1.18055i
$221$	−9.54841	+	11.9733i	−0.642295	+	0.805413i
$222$	8.05257	+	19.4446i	0.540453	+	1.30504i
$223$	7.69482	+	9.64900i	0.515284	+	0.646145i	0.969600	−	0.244695i	$-0.0786879\pi$
$223$	7.69482	+	9.64900i	0.515284	+	0.646145i	−0.454316	+	0.890840i	$0.650116\pi$
$224$	0.716782	−	0.296595i	0.0478920	−	0.0198171i
$225$	8.56791	+	4.12609i	0.571194	+	0.275072i
$226$	−0.476368	+	1.65306i	−0.0316875	+	0.109960i
$227$	0.408374	−	0.0932088i	0.0271048	−	0.00618649i	−0.208947	−	0.977927i	$-0.567004\pi$
$227$	0.408374	−	0.0932088i	0.0271048	−	0.00618649i	0.236052	+	0.971740i	$0.424146\pi$
$228$	17.9605	−	6.28172i	1.18946	−	0.416017i
$229$	13.4359	+	6.47039i	0.887869	+	0.427575i	0.821492	−	0.570219i	$-0.193142\pi$
$229$	13.4359	+	6.47039i	0.887869	+	0.427575i	0.0663766	+	0.997795i	$0.478856\pi$
$230$	3.13296	+	18.4474i	0.206581	+	1.21639i
$231$	1.58868			0.104527
$232$	14.4303	−	4.87521i	0.947393	−	0.320073i
$233$	17.9947			1.17887			0.589436	−	0.807815i	$-0.299350\pi$
$233$	17.9947			1.17887			0.589436	+	0.807815i	$0.299350\pi$
$234$	7.48366	+	44.0651i	0.489222	+	2.88063i
$235$	17.3172	+	8.33952i	1.12965	+	0.544010i
$236$	−0.683818	−	1.95515i	−0.0445128	−	0.127270i
$237$	−40.7610	+	9.30344i	−2.64771	+	0.604324i
$238$	0.201997	−	0.700954i	0.0130935	−	0.0454361i
$239$	19.7544	+	9.51320i	1.27780	+	0.615358i	0.944825	−	0.327577i	$-0.106232\pi$
$239$	19.7544	+	9.51320i	1.27780	+	0.615358i	0.332979	+	0.942934i	$0.391946\pi$
$240$	−29.5029	+	14.1973i	−1.90440	+	0.916429i
$241$	−1.79774	−	2.25429i	−0.115802	−	0.145212i	0.720552	−	0.693401i	$-0.243889\pi$
$241$	−1.79774	−	2.25429i	−0.115802	−	0.145212i	−0.836354	+	0.548190i	$0.815317\pi$
$242$	0.795685	+	1.92135i	0.0511485	+	0.123509i
$243$	27.9910	−	35.0996i	1.79562	−	2.25164i
$244$	−2.45859	−	0.277379i	−0.157395	−	0.0177574i
$245$	−13.6180	−	10.8600i	−0.870023	−	0.693820i
$246$	15.8062	−	54.8494i	1.00776	−	3.49707i
$247$	11.5105	+	2.62719i	0.732394	+	0.167164i
$248$	7.71120	−	6.88812i	0.489661	−	0.437396i
$249$			14.3880i			0.911801i
$250$	8.87636	−	9.93120i	0.561390	−	0.628104i
$251$	−11.8831	+	5.72260i	−0.750055	+	0.361207i	−0.769536	−	0.638603i	$-0.779513\pi$
$251$	−11.8831	+	5.72260i	−0.750055	+	0.361207i	0.0194817	+	0.999810i	$0.493798\pi$
$252$	−1.13245	−	1.80286i	−0.0713375	−	0.113570i
$253$	−11.6760	−	14.6413i	−0.734067	−	0.920491i
$254$	−13.2189	−	7.30708i	−0.829427	−	0.458487i
$255$	−6.85126	+	30.0173i	−0.429043	+	1.87976i
$256$	3.56942	−	15.5968i	0.223089	−	0.974798i
$257$	−21.5855	+	10.3951i	−1.34647	+	0.648426i	−0.961577	−	0.274536i	$-0.911476\pi$
$257$	−21.5855	+	10.3951i	−1.34647	+	0.648426i	−0.384893	+	0.922961i	$0.625762\pi$
$258$	−10.1683	+	18.3950i	−0.633052	+	1.14522i
$259$	−0.138419	−	0.606453i	−0.00860094	−	0.0376832i
$260$	−20.1878	−	2.27760i	−1.25200	−	0.141251i
$261$	−19.8334	−	36.7996i	−1.22766	−	2.27784i
$262$	−1.17151	+	20.8336i	−0.0723761	+	1.28710i
$263$	−8.40270	+	1.91786i	−0.518132	+	0.118260i	−0.473587	−	0.880747i	$-0.657041\pi$
$263$	−8.40270	+	1.91786i	−0.518132	+	0.118260i	−0.0445454	+	0.999007i	$0.514184\pi$
$264$	18.9677	−	26.7201i	1.16738	−	1.64451i
$265$	18.2065	−	8.76781i	1.11842	−	0.538602i
$266$	−0.554444	+	0.0941623i	−0.0339951	+	0.00577346i
$267$	−46.5231	−	10.6186i	−2.84717	−	0.649847i
$268$	2.28845	−	3.64087i	0.139789	−	0.222402i
$269$	4.21079	+	5.28016i	0.256736	+	0.321937i	0.893450	−	0.449164i	$-0.148278\pi$
$269$	4.21079	+	5.28016i	0.256736	+	0.321937i	−0.636713	+	0.771101i	$0.719707\pi$
$270$	31.9007	+	44.9667i	1.94141	+	2.73659i
$271$	−9.58909	−	19.9119i	−0.582496	−	1.20956i	−0.959068	−	0.283177i	$-0.908612\pi$
$271$	−9.58909	−	19.9119i	−0.582496	−	1.20956i	0.376572	−	0.926387i	$-0.377103\pi$
$272$	−9.37771	−	11.7663i	−0.568607	−	0.713437i
$273$		−	1.83160i		−	0.110853i
$274$	12.3421	−	13.8088i	0.745614	−	0.834221i
$275$	0.962628	−	4.21755i	0.0580486	−	0.254328i
$276$	−11.4969	+	32.8408i	−0.692030	+	1.97678i
$277$	−1.25813	−	1.00333i	−0.0755938	−	0.0602840i	0.584964	−	0.811059i	$-0.301109\pi$
$277$	−1.25813	−	1.00333i	−0.0755938	−	0.0602840i	−0.660558	+	0.750775i	$0.729680\pi$
$278$	−0.174976	−	0.00983920i	−0.0104943	−	0.000590116i
$279$	−22.1868	−	17.6933i	−1.32829	−	1.05927i
$280$	0.929952	−	0.267695i	0.0555753	−	0.0159978i
$281$	−14.3367	−	17.9776i	−0.855253	−	1.07245i	−0.996592	−	0.0824921i	$-0.973712\pi$
$281$	−14.3367	−	17.9776i	−0.855253	−	1.07245i	0.141339	−	0.989961i	$-0.454859\pi$
$282$	20.6806	+	29.1510i	1.23151	+	1.73592i
$283$	5.95985	−	12.3758i	0.354276	−	0.735662i	−0.645325	−	0.763908i	$-0.723278\pi$
$283$	5.95985	−	12.3758i	0.354276	−	0.735662i	0.999601	+	0.0282461i	$0.00899221\pi$
$284$	−1.37979	+	3.94138i	−0.0818757	+	0.233878i
$285$	23.1415	−	5.28190i	1.37078	−	0.312873i
$286$	18.7854	−	7.77957i	1.11080	−	0.460015i
$287$	−0.732019	+	1.52005i	−0.0432097	+	0.0897259i
$288$	−43.8431	−	2.47818i	−2.58348	−	0.146028i
$289$	2.85078			0.167693
$290$	18.5689	−	4.03073i	1.09040	−	0.236693i
$291$			0.836862i			0.0490577i
$292$	−4.12848	+	0.464560i	−0.241601	+	0.0271863i
$293$	27.4545	+	13.2214i	1.60391	+	0.772401i	0.999702	−	0.0244285i	$-0.00777661\pi$
$293$	27.4545	+	13.2214i	1.60391	+	0.772401i	0.604205	+	0.796829i	$0.293491\pi$
$294$	−12.3928	−	29.9251i	−0.722765	−	1.74527i
$295$	−0.574979	−	2.51915i	−0.0334766	−	0.146670i
$296$	−11.8526	−	4.91255i	−0.688919	−	0.285536i
$297$	−49.7139	−	23.9410i	−2.88469	−	1.38920i
$298$	−12.5728	−	17.7224i	−0.728323	−	1.02663i
$299$	−16.8800	+	13.4614i	−0.976197	+	0.778491i
$300$	−7.58716	+	2.65362i	−0.438045	+	0.153207i
$301$	0.387331	−	0.485697i	0.0223254	−	0.0279951i
$302$	0.606905	−	10.7929i	0.0349235	−	0.621063i
$303$	26.9274	−	33.7658i	1.54694	−	1.93980i
$304$	−5.03595	+	10.4495i	−0.288832	+	0.599319i
$305$	−3.00917	−	0.686823i	−0.172304	−	0.0393274i
$306$	−27.5192	+	30.7895i	−1.57317	+	1.76012i
$307$	−20.5479			−1.17273			−0.586367	−	0.810046i	$-0.699442\pi$
$307$	−20.5479			−1.17273			−0.586367	+	0.810046i	$0.699442\pi$
$308$	−0.684939	+	0.684739i	−0.0390280	+	0.0390166i
$309$	40.0838	−	19.3033i	2.28029	−	1.09813i
$310$	10.5202	−	7.46336i	0.597510	−	0.423890i
$311$	15.5198	−	12.3767i	0.880049	−	0.701816i	−0.0753427	−	0.997158i	$-0.524005\pi$
$311$	15.5198	−	12.3767i	0.880049	−	0.701816i	0.955392	+	0.295342i	$0.0954336\pi$
$312$	−30.8058	−	21.8680i	−1.74403	−	1.23803i
$313$	2.75564	−	12.0732i	0.155758	−	0.682420i	−0.835390	−	0.549658i	$-0.814758\pi$
$313$	2.75564	−	12.0732i	0.155758	−	0.682420i	0.991148	−	0.132762i	$-0.0423847\pi$
$314$	−26.3037	+	4.46721i	−1.48440	+	0.252099i
$315$	−1.15238	−	2.39294i	−0.0649291	−	0.134827i
$316$	13.5637	−	21.5795i	0.763018	−	1.21394i
$317$	5.71191	+	25.0255i	0.320813	+	1.40557i	0.836111	+	0.548561i	$0.184824\pi$
$317$	5.71191	+	25.0255i	0.320813	+	1.40557i	−0.515298	+	0.857011i	$0.672319\pi$
$318$	37.5180	+	2.10970i	2.10390	+	0.118306i
$319$	−14.3130	+	12.5212i	−0.801376	+	0.701054i
$320$	6.60060	−	18.8370i	0.368985	−	1.05302i
$321$	−21.7624	+	4.96714i	−1.21466	+	0.277239i
$322$	0.497533	−	0.900063i	0.0277264	−	0.0501585i
$323$	4.73288	+	9.82792i	0.263344	+	0.546840i
$324$	6.25584	+	55.5948i	0.347546	+	3.08860i
$325$	−4.86243	−	1.10982i	−0.269719	−	0.0615616i
$326$	−4.08146	+	7.38357i	−0.226051	+	0.408938i
$327$	9.13442	−	7.28446i	0.505135	−	0.402831i
$328$	16.8261	+	30.4603i	0.929067	+	1.68189i
$329$	−0.458355	−	0.951784i	−0.0252699	−	0.0524736i
$330$	27.2412	−	30.4784i	1.49958	−	1.67778i
$331$	17.7565			0.975986			0.487993	−	0.872848i	$-0.337729\pi$
$331$	17.7565			0.975986			0.487993	+	0.872848i	$0.337729\pi$
$332$	−6.20138	−	6.20319i	−0.340345	−	0.340444i
$333$	−7.83580	+	34.3309i	−0.429399	+	1.88132i
$334$	−2.32861	−	0.671045i	−0.127416	−	0.0367179i
$335$	3.34482	−	4.19427i	0.182747	−	0.229158i
$336$	1.75428	+	0.400940i	0.0957037	+	0.0218731i
$337$	−6.46070	−	5.15224i	−0.351937	−	0.280660i	0.431524	−	0.902102i	$-0.357976\pi$
$337$	−6.46070	−	5.15224i	−0.351937	−	0.280660i	−0.783461	+	0.621441i	$0.786547\pi$
$338$	−1.93479	−	4.67195i	−0.105239	−	0.254121i
$339$	−3.12012	+	2.48822i	−0.169462	+	0.135141i
$340$	−9.98399	−	15.8946i	−0.541458	−	0.862004i
$341$	−5.60114	+	11.6309i	−0.303319	+	0.629848i
$342$	30.5912	+	8.81559i	1.65418	+	0.476692i
$343$	0.426625	+	1.86917i	0.0230356	+	0.100926i
$344$	−3.54453	−	12.3134i	−0.191108	−	0.663896i
$345$	−18.8335	+	39.1082i	−1.01396	+	2.10552i
$346$	0.989440	+	5.82600i	0.0531927	+	0.313208i
$347$		−	27.0900i		−	1.45427i	−0.686495	−	0.727135i	$-0.740852\pi$
$347$		−	27.0900i		−	1.45427i	0.686495	−	0.727135i	$-0.259148\pi$
$348$	33.8462	+	10.1451i	1.81435	+	0.543833i
$349$		−	14.7832i		−	0.791326i	−0.918396	−	0.395663i	$-0.870515\pi$
$349$		−	14.7832i		−	0.791326i	0.918396	−	0.395663i	$-0.129485\pi$
$350$	0.234217	−	0.0397775i	0.0125194	−	0.00212620i
$351$	−27.6017	+	57.3154i	−1.47327	+	3.05927i
$352$	3.33900	+	19.6954i	0.177969	+	1.04977i
$353$	−0.726355	−	3.18237i	−0.0386600	−	0.169380i	0.951913	−	0.306370i	$-0.0991145\pi$
$353$	−0.726355	−	3.18237i	−0.0386600	−	0.169380i	−0.990572	+	0.136990i	$0.956257\pi$
$354$	1.33052	−	4.61706i	0.0707161	−	0.245394i
$355$	−2.26030	+	4.69356i	−0.119964	+	0.249109i
$356$	24.6346	−	15.4739i	1.30563	−	0.820116i
$357$	1.32304	−	1.05509i	0.0700229	−	0.0558414i
$358$	−20.8365	+	8.62899i	−1.10124	+	0.456056i
$359$	−12.4354	−	9.91689i	−0.656315	−	0.523393i	0.237753	−	0.971326i	$-0.423589\pi$
$359$	−12.4354	−	9.91689i	−0.656315	−	0.523393i	−0.894068	+	0.447932i	$0.852161\pi$
$360$	−54.0056	−	9.18805i	−2.84634	−	0.484253i
$361$	−6.60305	+	8.27997i	−0.347529	+	0.435788i
$362$	−5.73706	+	19.9083i	−0.301533	+	1.04636i
$363$	−1.07349	+	4.70325i	−0.0563434	+	0.246857i
$364$	0.789439	+	0.789669i	0.0413779	+	0.0413899i
$365$	−5.18279			−0.271279
$366$	−4.27941	−	3.82487i	−0.223688	−	0.199929i
$367$	11.1936	+	23.2437i	0.584300	+	1.21331i	0.958268	+	0.285871i	$0.0922828\pi$
$367$	11.1936	+	23.2437i	0.584300	+	1.21331i	−0.373968	+	0.927442i	$0.622003\pi$
$368$	−9.19804	−	19.1142i	−0.479481	−	0.996395i
$369$	74.6706	−	59.5478i	3.88720	−	3.09994i
$370$	−14.0081	−	7.74335i	−0.728248	−	0.402558i
$371$	−1.08281	−	0.247144i	−0.0562165	−	0.0128311i
$372$	23.8354	−	2.68209i	1.23581	−	0.139060i
$373$	−4.28600	−	8.89997i	−0.221921	−	0.460823i	0.760048	−	0.649867i	$-0.225175\pi$
$373$	−4.28600	−	8.89997i	−0.221921	−	0.460823i	−0.981969	+	0.189044i	$0.939461\pi$
$374$	16.4409	+	9.08810i	0.850137	+	0.469935i
$375$	30.1245	−	6.87572i	1.55562	−	0.355061i
$376$	−21.4806	−	3.65452i	−1.10778	−	0.188468i
$377$	14.4358	+	16.5016i	0.743481	+	0.849874i
$378$	0.170126	−	3.02543i	0.00875032	−	0.155612i
$379$	1.58644	+	6.95066i	0.0814901	+	0.357031i	0.999190	−	0.0402431i	$-0.0128132\pi$
$379$	1.58644	+	6.95066i	0.0814901	+	0.357031i	−0.917700	+	0.397274i	$0.869956\pi$
$380$	−7.70060	+	12.2515i	−0.395033	+	0.628488i
$381$	−15.2025	−	31.5683i	−0.778848	−	1.61729i
$382$	−2.08559	−	12.2803i	−0.106708	−	0.628314i
$383$	4.30301	−	18.8527i	0.219874	−	0.963330i	−0.737697	−	0.675132i	$-0.764087\pi$
$383$	4.30301	−	18.8527i	0.219874	−	0.963330i	0.957571	−	0.288198i	$-0.0930562\pi$
$384$	27.6883	−	24.7184i	1.41296	−	1.26141i
$385$	−0.944620	+	0.753309i	−0.0481423	+	0.0383922i
$386$	1.54954	+	2.18421i	0.0788695	+	0.111173i
$387$	−31.6847	+	15.2586i	−1.61062	+	0.775636i
$388$	−0.360697	−	0.360802i	−0.0183116	−	0.0183170i
$389$	−36.4029			−1.84570			−0.922850	−	0.385161i	$-0.874146\pi$
$389$	−36.4029			−1.84570			−0.922850	+	0.385161i	$0.874146\pi$
$390$	−35.1387	−	31.4065i	−1.77932	−	1.59033i
$391$	−19.4475	−	4.43876i	−0.983502	−	0.224478i
$392$	18.2411	+	7.56038i	0.921314	+	0.381857i
$393$	−30.1805	+	37.8452i	−1.52240	+	1.90904i
$394$	7.73188	+	0.434778i	0.389527	+	0.0219038i
$395$	19.8248	−	24.8596i	0.997496	−	1.25082i
$396$	51.7525	−	18.1005i	2.60066	−	0.909586i
$397$	4.06520	−	3.24189i	0.204026	−	0.162706i	−0.516146	−	0.856500i	$-0.672634\pi$
$397$	4.06520	−	3.24189i	0.204026	−	0.162706i	0.720173	+	0.693795i	$0.244063\pi$
$398$	5.71576	−	4.05492i	0.286505	−	0.203255i
$399$	−1.17541	−	0.566048i	−0.0588442	−	0.0283379i
$400$	2.12736	−	4.41423i	0.106368	−	0.220711i
$401$	−1.61801	−	7.08898i	−0.0807997	−	0.354007i	0.918325	−	0.395826i	$-0.129542\pi$
$401$	−1.61801	−	7.08898i	−0.0807997	−	0.354007i	−0.999125	+	0.0418194i	$0.986685\pi$
$402$	9.21678	−	3.81693i	0.459691	−	0.190371i
$403$	13.4093	+	6.45759i	0.667966	+	0.321675i
$404$	2.94408	+	26.1637i	0.146474	+	1.30169i
$405$			69.7922i			3.46800i
$406$	−0.936048	−	0.463118i	−0.0464553	−	0.0229842i
$407$	16.0190			0.794032
$408$	−1.94947	−	34.8494i	−0.0965131	−	1.72530i
$409$	−7.32645	+	15.2135i	−0.362270	+	0.752260i	−0.999836	−	0.0181353i	$-0.994227\pi$
$409$	−7.32645	+	15.2135i	−0.362270	+	0.752260i	0.637566	+	0.770396i	$0.279941\pi$
$410$	16.6099	+	40.1080i	0.820303	+	1.98079i
$411$	41.8865	−	9.56033i	2.06611	−	0.471576i
$412$	−8.96165	+	25.5990i	−0.441509	+	1.26117i
$413$	−0.0616191	+	0.127953i	−0.00303208	+	0.00629617i
$414$	−47.4830	+	33.6858i	−2.33366	+	1.65556i
$415$	−6.82239	−	8.55501i	−0.334898	−	0.419949i
$416$	22.7069	−	3.84955i	1.11330	−	0.188740i
$417$	−0.317851	−	0.253478i	−0.0155653	−	0.0124129i
$418$	0.813091	−	14.4596i	0.0397696	−	0.707243i
$419$	6.24409	+	4.97950i	0.305044	+	0.243264i	0.764032	−	0.645178i	$-0.223217\pi$
$419$	6.24409	+	4.97950i	0.305044	+	0.243264i	−0.458989	+	0.888442i	$0.651788\pi$
$420$	2.11881	+	0.741749i	0.103387	+	0.0361936i
$421$	−4.25410	+	18.6384i	−0.207332	+	0.908381i	0.759002	+	0.651089i	$0.225687\pi$
$421$	−4.25410	+	18.6384i	−0.207332	+	0.908381i	−0.966334	+	0.257292i	$0.917170\pi$
$422$	−20.8196	−	18.6082i	−1.01348	−	0.905834i
$423$			59.8021i			2.90768i
$424$	−17.0847	+	15.2611i	−0.829706	+	0.741145i
$425$	−1.99933	−	4.15166i	−0.0969819	−	0.201385i
$426$	−7.90095	+	5.60516i	−0.382802	+	0.271571i
$427$	0.105770	+	0.132632i	0.00511859	+	0.00641851i
$428$	7.24170	−	11.5214i	0.350041	−	0.556907i
$429$	45.9846	+	10.4957i	2.22016	+	0.506737i
$430$	−2.67640	−	15.7591i	−0.129068	−	0.759972i
$431$	−4.15229	+	1.99964i	−0.200009	+	0.0963192i	−0.531207	−	0.847242i	$-0.678261\pi$
$431$	−4.15229	+	1.99964i	−0.200009	+	0.0963192i	0.331198	+	0.943561i	$0.392547\pi$
$432$	−48.8539	−	38.9829i	−2.35048	−	1.87557i
$433$	18.7213	−	4.27301i	0.899687	−	0.205348i	0.252426	−	0.967616i	$-0.418772\pi$
$433$	18.7213	−	4.27301i	0.899687	−	0.205348i	0.647261	+	0.762268i	$0.275914\pi$
$434$	−0.707820	−	0.0398020i	−0.0339764	−	0.00191056i
$435$	40.5431	+	17.2980i	1.94389	+	0.829376i
$436$	−0.798502	+	7.07764i	−0.0382413	+	0.338957i
$437$	3.42201	+	14.9928i	0.163697	+	0.717203i
$438$	−8.43475	−	4.66252i	−0.403028	−	0.222784i
$439$	−21.7836	+	10.4904i	−1.03967	+	0.500681i	−0.874217	−	0.485536i	$-0.838624\pi$
$439$	−21.7836	+	10.4904i	−1.03967	+	0.500681i	−0.165458	+	0.986217i	$0.552910\pi$
$440$	1.39187	+	24.8816i	0.0663549	+	1.18619i
$441$	12.0592	−	52.8350i	0.574249	−	2.51595i
$442$	10.4777	−	18.9547i	0.498374	−	0.901585i
$443$	−22.3952	−	28.0827i	−1.06403	−	1.33425i	−0.939697	−	0.342009i	$-0.888893\pi$
$443$	−22.3952	−	28.0827i	−1.06403	−	1.33425i	−0.124331	−	0.992241i	$-0.539679\pi$
$444$	−15.8315	−	25.2039i	−0.751332	−	1.19612i
$445$	32.6974	−	15.7462i	1.55001	−	0.746444i
$446$	−13.0133	−	11.6311i	−0.616196	−	0.550747i
$447$		−	50.4072i		−	2.38418i
$448$	−0.929143	+	0.583254i	−0.0438979	+	0.0275561i
$449$	29.7046	+	6.77987i	1.40185	+	0.319962i	0.855589	−	0.517656i	$-0.173195\pi$
$449$	29.7046	+	6.77987i	1.40185	+	0.319962i	0.546256	+	0.837618i	$0.316052\pi$
$450$	−12.9228	−	3.72401i	−0.609187	−	0.175552i
$451$	−33.9682	−	27.0887i	−1.59950	−	1.27556i
$452$	0.272751	−	2.41757i	0.0128291	−	0.113713i
$453$	15.6351	−	19.6058i	0.734603	−	0.921163i
$454$	−0.547305	+	0.226655i	−0.0256863	+	0.0106374i
$455$	0.868494	+	1.08906i	0.0407156	+	0.0510558i
$456$	−23.5540	+	13.0111i	−1.10302	+	0.609302i
$457$	24.9559	+	12.0181i	1.16739	+	0.562185i	0.914213	−	0.405235i	$-0.132810\pi$
$457$	24.9559	+	12.0181i	1.16739	+	0.562185i	0.253177	+	0.967420i	$0.418525\pi$
$458$	−20.2651	−	5.83987i	−0.946926	−	0.272879i
$459$	−57.3014	+	13.0787i	−2.67460	+	0.610460i
$460$	−8.73626	−	24.9785i	−0.407330	−	1.16463i
$461$	−6.03362	−	2.90564i	−0.281014	−	0.135329i	0.288068	−	0.957610i	$-0.406987\pi$
$461$	−6.03362	−	2.90564i	−0.281014	−	0.135329i	−0.569082	+	0.822281i	$0.692701\pi$
$462$	−2.21502	+	0.376180i	−0.103052	+	0.0175015i
$463$	−6.71907			−0.312262			−0.156131	−	0.987736i	$-0.549902\pi$
$463$	−6.71907			−0.312262			−0.156131	+	0.987736i	$0.549902\pi$
$464$	−18.9650	+	10.2142i	−0.880427	+	0.474181i
$465$	29.9223			1.38761
$466$	−25.0891	+	4.26093i	−1.16223	+	0.197384i
$467$	8.09696	+	3.89929i	0.374683	+	0.180438i	0.611742	−	0.791058i	$-0.290469\pi$
$467$	8.09696	+	3.89929i	0.374683	+	0.180438i	−0.237059	+	0.971495i	$0.576183\pi$
$468$	−20.8682	−	59.6657i	−0.964632	−	2.75805i
$469$	−0.287460	+	0.0656108i	−0.0132737	+	0.00302963i
$470$	−26.1192	−	7.52687i	−1.20479	−	0.347188i
$471$	−55.7634	−	26.8542i	−2.56944	−	1.23738i
$472$	1.41637	+	2.56405i	0.0651937	+	0.118020i
$473$	9.97452	+	12.5077i	0.458629	+	0.575103i
$474$	54.6281	−	22.6230i	2.50915	−	1.03911i
$475$	−2.21493	+	2.77744i	−0.101628	+	0.127438i
$476$	−0.115656	+	1.02514i	−0.00530109	+	0.0469870i
$477$	49.1563	+	39.2009i	2.25071	+	1.79488i
$478$	−29.7951	−	8.58618i	−1.36280	−	0.392723i
$479$	−5.26748	−	1.20227i	−0.240677	−	0.0549330i	0.100481	−	0.994939i	$-0.467962\pi$
$479$	−5.26748	−	1.20227i	−0.240677	−	0.0549330i	−0.341158	+	0.940006i	$0.610819\pi$
$480$	37.7726	−	26.7804i	1.72408	−	1.22235i
$481$		−	18.4684i		−	0.842085i
$482$	3.04028	+	2.71736i	0.138481	+	0.123772i
$483$	2.14946	−	1.03512i	0.0978038	−	0.0470998i
$484$	−1.56434	−	2.49043i	−0.0711061	−	0.113201i
$485$	−0.396818	−	0.497593i	−0.0180186	−	0.0225946i
$486$	−30.7152	+	55.5655i	−1.39327	+	2.52050i
$487$	−2.89378	+	12.6785i	−0.131130	+	0.574516i	0.866083	+	0.499901i	$0.166630\pi$
$487$	−2.89378	+	12.6785i	−0.131130	+	0.574516i	−0.997212	+	0.0746156i	$0.976227\pi$
$488$	3.49357	−	0.195430i	0.158147	−	0.00884668i
$489$	−17.6329	+	8.49154i	−0.797385	+	0.384001i
$490$	21.5584	+	11.9170i	0.973910	+	0.538354i
$491$	2.62131	+	11.4847i	0.118298	+	0.518298i	0.999003	+	0.0446332i	$0.0142119\pi$
$491$	2.62131	+	11.4847i	0.118298	+	0.518298i	−0.880705	+	0.473665i	$0.842931\pi$
$492$	−9.05006	+	80.2165i	−0.408008	+	3.61644i
$493$	−3.60407	+	19.9333i	−0.162319	+	0.897753i
$494$	−16.6706	−	0.937416i	−0.750044	−	0.0421764i
$495$	66.6813	−	15.2196i	2.99710	−	0.684069i
$496$	−9.12031	+	11.4297i	−0.409514	+	0.513207i
$497$	0.257967	−	0.124230i	0.0115714	−	0.00557249i
$498$	−3.40690	−	20.0604i	−0.152667	−	0.898929i
$499$	−14.1022	−	3.21873i	−0.631300	−	0.144090i	−0.105115	−	0.994460i	$-0.533521\pi$
$499$	−14.1022	−	3.21873i	−0.631300	−	0.144090i	−0.526185	+	0.850370i	$0.676378\pi$
$500$	−10.0243	+	15.9484i	−0.448299	+	0.713233i
$501$	−3.50508	−	4.39523i	−0.156595	−	0.196364i
$502$	15.2130	−	10.7925i	0.678988	−	0.481693i
$503$	−16.9818	−	35.2630i	−0.757180	−	1.57230i	−0.818718	−	0.574195i	$-0.805315\pi$
$503$	−16.9818	−	35.2630i	−0.757180	−	1.57230i	0.0615385	−	0.998105i	$-0.480399\pi$
$504$	2.00581	+	2.24549i	0.0893459	+	0.100022i
$505$			32.8452i			1.46159i
$506$	19.7462	+	17.6489i	0.877826	+	0.784588i
$507$	2.61029	−	11.4364i	0.115927	−	0.507910i
$508$	20.1607	+	7.05782i	0.894485	+	0.313140i
$509$	21.8505	+	17.4252i	0.968506	+	0.772358i	0.973748	−	0.227628i	$-0.0730971\pi$
$509$	21.8505	+	17.4252i	0.968506	+	0.772358i	−0.00524170	+	0.999986i	$0.501668\pi$
$510$	2.44462	−	43.4740i	0.108250	−	1.92506i
$511$	0.222709	+	0.177604i	0.00985206	+	0.00785675i
$512$	−1.28353	+	22.5910i	−0.0567245	+	0.998390i
$513$	28.2515	+	35.4263i	1.24733	+	1.56411i
$514$	27.6342	−	19.6045i	1.21889	−	0.864717i
$515$	−14.6805	+	30.4843i	−0.646899	+	1.34330i
$516$	9.82145	−	28.0550i	0.432365	−	1.23505i
$517$	26.5223	−	6.05354i	1.16645	−	0.266235i
$518$	0.336591	+	0.812771i	0.0147890	+	0.0357111i
$519$	−5.94793	+	12.3510i	−0.261085	+	0.542149i
$520$	28.6862	−	1.60470i	1.25797	−	0.0703706i
$521$	−7.90132			−0.346163			−0.173082	−	0.984908i	$-0.555372\pi$
$521$	−7.90132			−0.346163			−0.173082	+	0.984908i	$0.555372\pi$
$522$	36.3664	+	46.6116i	1.59171	+	2.04013i
$523$			21.2518i			0.929275i	0.885501	+	0.464638i	$0.153815\pi$
$523$			21.2518i			0.929275i	−0.885501	+	0.464638i	$0.846185\pi$
$524$	−3.29976	−	29.3246i	−0.144151	−	1.28105i
$525$	0.496535	+	0.239119i	0.0216706	+	0.0104360i
$526$	11.2613	−	4.66363i	0.491017	−	0.203344i
$527$	3.05984	+	13.4060i	0.133289	+	0.583976i
$528$	−20.1187	+	41.7459i	−0.875555	+	1.81676i
$529$	−4.61496	−	2.22245i	−0.200650	−	0.0966281i
$530$	−23.3083	+	16.5356i	−1.01245	+	0.718261i
$531$	6.28554	−	5.01255i	0.272769	−	0.217526i
$532$	0.750737	−	0.262572i	0.0325486	−	0.0113839i
$533$	−31.2307	+	39.1621i	−1.35275	+	1.69630i
$534$	67.3791	+	3.78885i	2.91578	+	0.163960i
$535$	10.5845	−	13.2726i	0.457610	−	0.573825i
$536$	−2.32855	+	5.61816i	−0.100578	+	0.242667i
$537$	−51.0055	−	11.6417i	−2.20105	−	0.502376i
$538$	−7.12117	−	6.36480i	−0.307015	−	0.274406i
$539$	−24.6531			−1.06188
$540$	−55.1250	−	55.1411i	−2.37220	−	2.37289i
$541$	−27.1765	+	13.0875i	−1.16841	+	0.562676i	−0.914513	−	0.404556i	$-0.867426\pi$
$541$	−27.1765	+	13.0875i	−1.16841	+	0.562676i	−0.253895	+	0.967232i	$0.581712\pi$
$542$	18.0845	+	25.4916i	0.776795	+	1.09496i
$543$	−37.5767	+	29.9664i	−1.61257	+	1.28598i
$544$	15.8610	+	14.1846i	0.680034	+	0.608161i
$545$	−1.97718	+	8.66260i	−0.0846931	+	0.371065i
$546$	0.433700	+	2.55370i	0.0185607	+	0.109288i
$547$	9.13756	+	18.9743i	0.390694	+	0.811285i	0.999834	+	0.0182218i	$0.00580050\pi$
$547$	9.13756	+	18.9743i	0.390694	+	0.811285i	−0.609140	+	0.793063i	$0.708485\pi$
$548$	−13.9382	+	22.1754i	−0.595411	+	0.947286i
$549$	−2.13694	−	9.36257i	−0.0912026	−	0.399585i
$550$	−0.343478	+	6.10825i	−0.0146460	+	0.260457i
$551$	15.0511	−	4.16430i	0.641197	−	0.177405i
$552$	8.25318	−	48.5106i	0.351279	−	2.06475i
$553$	−1.70378	+	0.388877i	−0.0724522	+	0.0165367i
$554$	1.99172	+	1.10098i	0.0846203	+	0.0467760i
$555$	−16.1102	−	33.4531i	−0.683839	−	1.42001i
$556$	0.246290	−	0.0277139i	0.0104450	−	0.00117533i
$557$	−2.48361	−	0.566868i	−0.105234	−	0.0240189i	0.169580	−	0.985516i	$-0.445759\pi$
$557$	−2.48361	−	0.566868i	−0.105234	−	0.0240189i	−0.274814	+	0.961498i	$0.588616\pi$
$558$	35.1234	+	19.4154i	1.48689	+	0.821919i
$559$	14.4201	−	11.4997i	0.609907	−	0.486384i
$560$	−1.23320	+	0.593435i	−0.0521121	+	0.0250772i
$561$	18.9079	+	39.2628i	0.798294	+	1.65767i
$562$	24.2458	+	21.6705i	1.02275	+	0.914115i
$563$	16.5028			0.695509			0.347755	−	0.937586i	$-0.386944\pi$
$563$	16.5028			0.695509			0.347755	+	0.937586i	$0.386944\pi$
$564$	−35.7365	−	35.7469i	−1.50478	−	1.50522i
$565$	0.675363	−	2.95896i	0.0284127	−	0.124484i
$566$	−5.37909	+	18.6661i	−0.226100	+	0.784595i
$567$	2.39165	−	2.99903i	0.100440	−	0.125948i
$568$	0.990504	−	5.82199i	0.0415606	−	0.244285i
$569$	20.6136	+	16.4388i	0.864168	+	0.689151i	0.951706	−	0.307010i	$-0.0993286\pi$
$569$	20.6136	+	16.4388i	0.864168	+	0.689151i	−0.0875385	+	0.996161i	$0.527900\pi$
$570$	−31.0143	+	12.8439i	−1.29905	+	0.537973i
$571$	−15.6115	+	12.4497i	−0.653320	+	0.521005i	−0.893121	−	0.449817i	$-0.851489\pi$
$571$	−15.6115	+	12.4497i	−0.653320	+	0.521005i	0.239801	+	0.970822i	$0.422918\pi$
$572$	−24.3494	+	15.2948i	−1.01810	+	0.639508i
$573$	12.5373	−	26.0340i	0.523754	−	1.08759i
$574$	0.660687	−	2.29267i	0.0275765	−	0.0956940i
$575$	−1.44558	−	6.33349i	−0.0602847	−	0.264125i
$576$	61.7151	−	6.92632i	2.57146	−	0.288597i
$577$	3.47503	−	7.21598i	0.144667	−	0.300405i	−0.816027	−	0.578014i	$-0.803828\pi$
$577$	3.47503	−	7.21598i	0.144667	−	0.300405i	0.960694	+	0.277609i	$0.0895421\pi$
$578$	−3.97470	+	0.675031i	−0.165326	+	0.0280776i
$579$			6.21245i			0.258181i
$580$	−24.9353	+	10.0167i	−1.03538	+	0.415923i
$581$			0.601407i			0.0249506i
$582$	−0.198159	−	1.16679i	−0.00821395	−	0.0483652i
$583$	12.4097	−	25.7691i	0.513958	−	1.06725i
$584$	5.64613	−	1.62529i	0.233639	−	0.0672549i
$585$	−17.5467	−	76.8772i	−0.725468	−	3.17848i
$586$	−41.4090	−	11.9330i	−1.71059	−	0.492948i
$587$	12.7536	−	26.4832i	0.526399	−	1.09308i	−0.453068	−	0.891476i	$-0.649670\pi$
$587$	12.7536	−	26.4832i	0.526399	−	1.09308i	0.979467	−	0.201604i	$-0.0646153\pi$
$588$	24.3646	+	38.7886i	1.00478	+	1.59962i
$589$	8.28820	−	6.60962i	0.341509	−	0.272345i
$590$	1.39817	+	3.37617i	0.0575617	+	0.138995i
$591$	14.0453	+	11.2008i	0.577747	+	0.460738i
$592$	17.6887	+	4.04276i	0.727003	+	0.166156i
$593$	−1.47525	+	1.84990i	−0.0605812	+	0.0759664i	−0.811199	−	0.584770i	$-0.801185\pi$
$593$	−1.47525	+	1.84990i	−0.0605812	+	0.0759664i	0.750618	+	0.660737i	$0.229756\pi$
$594$	74.9826	+	21.6080i	3.07657	+	0.886588i
$595$	−0.286378	+	1.25470i	−0.0117403	+	0.0514378i
$596$	21.7261	+	21.7324i	0.889936	+	0.890195i
$597$	16.2571			0.665359
$598$	20.3475	−	22.7655i	0.832070	−	0.930951i
$599$	−10.2803	−	21.3473i	−0.420043	−	0.872229i	−0.998405	−	0.0564487i	$-0.982022\pi$
$599$	−10.2803	−	21.3473i	−0.420043	−	0.872229i	0.578362	−	0.815780i	$-0.303692\pi$
$600$	9.95004	−	5.49636i	0.406209	−	0.224388i
$601$	−0.0633087	+	0.0504870i	−0.00258241	+	0.00205941i	−0.624780	−	0.780801i	$-0.714811\pi$
$601$	−0.0633087	+	0.0504870i	−0.00258241	+	0.00205941i	0.622198	+	0.782860i	$0.286240\pi$
$602$	−0.425028	+	0.768898i	−0.0173229	+	0.0313380i
$603$	16.2729	+	3.71418i	0.662683	+	0.151253i
$604$	1.70946	+	15.1917i	0.0695568	+	0.618143i
$605$	−1.59187	−	3.30554i	−0.0647186	−	0.134389i
$606$	−29.5481	+	53.4541i	−1.20031	+	2.17142i
$607$	−21.2541	+	4.85110i	−0.862675	+	0.196900i	−0.630895	−	0.775868i	$-0.717312\pi$
$607$	−21.2541	+	4.85110i	−0.862675	+	0.196900i	−0.231780	+	0.972768i	$0.574455\pi$
$608$	4.54706	−	15.7616i	0.184408	−	0.639218i
$609$	−1.14940	−	2.13265i	−0.0465762	−	0.0864192i
$610$	4.35816	+	0.245067i	0.176457	+	0.00992249i
$611$	−6.97916	−	30.5777i	−0.282347	−	1.23704i
$612$	31.0781	−	49.4445i	1.25626	−	1.99867i
$613$	−0.580781	−	1.20600i	−0.0234575	−	0.0487100i	0.888911	−	0.458080i	$-0.151463\pi$
$613$	−0.580781	−	1.20600i	−0.0234575	−	0.0487100i	−0.912368	+	0.409370i	$0.865748\pi$
$614$	28.6490	−	4.86551i	1.15618	−	0.196356i
$615$	−22.4090	+	98.1801i	−0.903617	+	3.95900i
$616$	0.792837	−	1.11688i	0.0319443	−	0.0450005i
$617$	−25.1634	+	20.0672i	−1.01304	+	0.807873i	−0.981468	−	0.191628i	$-0.938623\pi$
$617$	−25.1634	+	20.0672i	−1.01304	+	0.807873i	−0.0315732	+	0.999501i	$0.510052\pi$
$618$	−51.3160	+	36.4050i	−2.06423	+	1.46443i
$619$	14.7164	−	7.08704i	0.591502	−	0.284852i	−0.114090	−	0.993470i	$-0.536395\pi$
$619$	14.7164	−	7.08704i	0.591502	−	0.284852i	0.705592	+	0.708618i	$0.250681\pi$
$620$	−12.9006	+	12.8969i	−0.518101	+	0.517950i
$621$	−82.8612			−3.32511
$622$	−18.7079	+	20.9311i	−0.750117	+	0.839259i
$623$	−1.94463	−	0.443849i	−0.0779100	−	0.0177824i
$624$	48.1290	+	23.1950i	1.92670	+	0.928542i
$625$	−18.4705	+	23.1613i	−0.738822	+	0.926453i
$626$	−0.983248	+	17.4856i	−0.0392985	+	0.698866i
$627$	20.9469	−	26.2666i	0.836539	−	1.04899i
$628$	35.6161	−	12.4568i	1.42124	−	0.497080i
$629$	13.3405	−	10.6387i	0.531921	−	0.424193i
$630$	2.17332	+	3.06348i	0.0865872	+	0.122052i
$631$	29.1413	+	14.0337i	1.16010	+	0.558674i	0.912052	−	0.410074i	$-0.134497\pi$
$631$	29.1413	+	14.0337i	1.16010	+	0.558674i	0.248047	+	0.968748i	$0.420211\pi$
$632$	−13.8014	+	33.2990i	−0.548991	+	1.32456i
$633$	−14.4141	−	63.1524i	−0.572910	−	2.51008i
$634$	−13.8896	−	33.5393i	−0.551625	−	1.33201i
$635$	24.0082	+	11.5617i	0.952735	+	0.458813i
$636$	−52.8090	+	5.94236i	−2.09401	+	0.235630i
$637$			28.4227i			1.12615i
$638$	16.9911	−	20.8469i	0.672683	−	0.825336i
$639$	−16.2085			−0.641197
$640$	−4.74250	+	27.8265i	−0.187464	+	1.09994i
$641$	1.58427	−	3.28977i	0.0625749	−	0.129938i	−0.867336	−	0.497723i	$-0.834170\pi$
$641$	1.58427	−	3.28977i	0.0625749	−	0.129938i	0.929911	+	0.367785i	$0.119884\pi$
$642$	29.1661	−	12.0785i	1.15110	−	0.476701i
$643$	26.7463	−	6.10467i	1.05477	−	0.240745i	0.340233	−	0.940341i	$-0.389494\pi$
$643$	26.7463	−	6.10467i	1.05477	−	0.240745i	0.714538	+	0.699596i	$0.246637\pi$
$644$	−0.480561	+	1.37272i	−0.0189367	+	0.0540928i
$645$	16.0890	−	33.4091i	0.633502	−	1.31548i
$646$	−8.92595	−	12.5819i	−0.351187	−	0.495028i
$647$	−8.03242	−	10.0723i	−0.315787	−	0.395984i	0.598453	−	0.801158i	$-0.295782\pi$
$647$	−8.03242	−	10.0723i	−0.315787	−	0.395984i	−0.914240	+	0.405174i	$0.867211\pi$
$648$	−21.8864	−	76.0317i	−0.859778	−	2.98681i
$649$	−2.85934	−	2.28025i	−0.112239	−	0.0895075i
$650$	7.04223	+	0.395998i	0.276219	+	0.0155323i
$651$	−1.28579	−	1.02538i	−0.0503940	−	0.0401879i
$652$	3.94223	−	11.2610i	0.154390	−	0.441014i
$653$	−1.26686	+	5.55046i	−0.0495759	+	0.217206i	−0.993648	−	0.112533i	$-0.964104\pi$
$653$	−1.26686	+	5.55046i	−0.0495759	+	0.217206i	0.944072	+	0.329739i	$0.106961\pi$
$654$	−11.0108	+	12.3193i	−0.430556	+	0.481722i
$655$		−	36.8133i		−	1.43841i
$656$	−30.6724	−	38.4850i	−1.19756	−	1.50259i
$657$	−6.99657	−	14.5285i	−0.272962	−	0.566812i
$658$	0.864433	+	1.21849i	0.0336991	+	0.0475017i
$659$	−27.3139	−	34.2506i	−1.06400	−	1.33421i	−0.939712	−	0.341967i	$-0.888907\pi$
$659$	−27.3139	−	34.2506i	−1.06400	−	1.33421i	−0.124287	−	0.992246i	$-0.539664\pi$
$660$	−30.7641	+	48.9449i	−1.19749	+	1.90518i
$661$	−15.3311	−	3.49921i	−0.596309	−	0.136104i	−0.0862949	−	0.996270i	$-0.527503\pi$
$661$	−15.3311	−	3.49921i	−0.596309	−	0.136104i	−0.510014	+	0.860166i	$0.670360\pi$
$662$	−24.7570	+	4.20453i	−0.962208	+	0.163414i
$663$	45.2662	−	21.7991i	1.75799	−	0.846605i
$664$	10.1151	+	7.18038i	0.392542	+	0.278653i
$665$	0.967298	−	0.220780i	0.0375102	−	0.00856146i
$666$	2.79591	−	49.7212i	0.108339	−	1.92666i
$667$	−11.2069	+	26.2669i	−0.433935	+	1.01706i
$668$	3.40556	+	0.384217i	0.131765	+	0.0148658i
$669$	−9.00955	−	39.4734i	−0.348329	−	1.52613i
$670$	−3.67036	+	6.63988i	−0.141798	+	0.256521i
$671$	−3.93600	+	1.89548i	−0.151948	+	0.0731741i
$672$	−2.54084	−	0.143618i	−0.0980149	−	0.00554019i
$673$	4.10602	−	17.9897i	0.158276	−	0.693450i	−0.832052	−	0.554698i	$-0.812834\pi$
$673$	4.10602	−	17.9897i	0.158276	−	0.693450i	0.990327	−	0.138752i	$-0.0443091\pi$
$674$	10.2278	+	5.65369i	0.393961	+	0.217772i
$675$	−11.9344	−	14.9653i	−0.459356	−	0.576015i
$676$	3.80384	+	6.05573i	0.146302	+	0.232913i
$677$	21.0060	−	10.1160i	0.807328	−	0.388788i	0.0157643	−	0.999876i	$-0.494982\pi$
$677$	21.0060	−	10.1160i	0.807328	−	0.388788i	0.791563	+	0.611087i	$0.209268\pi$
$678$	3.76105	−	4.20800i	0.144442	−	0.161607i
$679$			0.0349802i			0.00134242i
$680$	17.6838	+	19.7969i	0.678143	+	0.759176i
$681$	−1.33974	−	0.305788i	−0.0513391	−	0.0117178i
$682$	5.05533	−	17.5427i	0.193579	−	0.671743i
$683$	−4.84427	−	3.86318i	−0.185361	−	0.147820i	0.526413	−	0.850229i	$-0.323537\pi$
$683$	−4.84427	−	3.86318i	−0.185361	−	0.147820i	−0.711774	+	0.702409i	$0.752108\pi$
$684$	−44.7392	−	5.04749i	−1.71065	−	0.192996i
$685$	−20.3722	+	25.5460i	−0.778384	+	0.976062i
$686$	−1.03742	−	2.50507i	−0.0396088	−	0.0956439i
$687$	−30.5035	−	38.2501i	−1.16378	−	1.45933i
$688$	7.85763	+	16.3287i	0.299569	+	0.622526i
$689$	−29.7093	−	14.3072i	−1.13183	−	0.545062i
$690$	16.9983	−	58.9862i	0.647113	−	2.24557i
$691$	−20.1955	+	4.60948i	−0.768272	+	0.175353i	−0.588656	−	0.808384i	$-0.700343\pi$
$691$	−20.1955	+	4.60948i	−0.768272	+	0.175353i	−0.179616	+	0.983737i	$0.557486\pi$
$692$	−2.75905	−	7.88861i	−0.104883	−	0.299880i
$693$	−3.38690	−	1.63105i	−0.128658	−	0.0619583i
$694$	6.41460	+	37.7703i	0.243495	+	1.43374i
$695$	0.309185			0.0117281
$696$	−49.5922	−	6.13040i	−1.87979	−	0.232372i
$697$	−46.2790			−1.75294
$698$	3.50049	+	20.6115i	0.132495	+	0.780155i
$699$	−53.1885	−	25.6142i	−2.01177	−	0.968819i
$700$	−0.317138	+	0.110919i	−0.0119867	+	0.00419236i
$701$	18.1767	−	4.14872i	0.686526	−	0.156695i	0.134991	−	0.990847i	$-0.456899\pi$
$701$	18.1767	−	4.14872i	0.686526	−	0.156695i	0.551535	+	0.834152i	$0.314042\pi$
$702$	24.9120	−	86.4478i	0.940242	−	3.26276i
$703$	−11.8519	−	5.70758i	−0.447004	−	0.215266i
$704$	−9.31902	−	26.6696i	−0.351224	−	1.00515i
$705$	−39.3152	−	49.2996i	−1.48069	−	1.85673i
$706$	1.76627	+	4.26502i	0.0664743	+	0.160516i
$707$	1.12554	−	1.41139i	0.0423304	−	0.0530807i
$708$	−0.761806	+	6.75238i	−0.0286304	+	0.253770i
$709$	−13.7259	−	10.9460i	−0.515485	−	0.411086i	0.330893	−	0.943668i	$-0.392650\pi$
$709$	−13.7259	−	10.9460i	−0.515485	−	0.411086i	−0.846378	+	0.532583i	$0.821222\pi$
$710$	2.04004	−	7.07921i	0.0765615	−	0.265678i
$711$	96.4499	+	22.0141i	3.61715	+	0.825591i
$712$	−30.6827	+	27.4077i	−1.14988	+	1.02715i
$713$			19.3859i			0.726008i
$714$	−1.59482	+	1.78434i	−0.0596846	+	0.0667773i
$715$	−32.3190	+	15.5640i	−1.20866	+	0.582060i
$716$	27.0081	−	16.9648i	1.00934	−	0.634005i
$717$	−44.8483	−	56.2379i	−1.67489	−	2.10024i
$718$	19.6862	+	10.8821i	0.734684	+	0.406115i
$719$	−10.4440	+	45.7580i	−0.389494	+	1.70649i	0.276910	+	0.960896i	$0.410690\pi$
$719$	−10.4440	+	45.7580i	−0.389494	+	1.70649i	−0.666404	+	0.745591i	$0.732167\pi$
$720$	77.4729	+	0.0225572i	2.88724	+	0.000840656i
$721$	1.67547	−	0.806866i	0.0623979	−	0.0300492i
$722$	7.24571	−	13.1079i	0.269657	−	0.487824i
$723$	2.10489	+	9.22214i	0.0782819	+	0.342975i
$724$	3.28484	−	29.1157i	0.122080	−	1.08207i
$725$	−6.35810	+	1.75914i	−0.236134	+	0.0653330i
$726$	0.383034	−	6.81169i	0.0142157	−	0.252806i
$727$	22.6117	−	5.16098i	0.838623	−	0.191410i	0.218423	−	0.975854i	$-0.429909\pi$
$727$	22.6117	−	5.16098i	0.838623	−	0.191410i	0.620200	+	0.784444i	$0.287052\pi$
$728$	−1.28766	−	0.914066i	−0.0477238	−	0.0338775i
$729$	−57.0891	+	27.4927i	−2.11441	+	1.01825i
$730$	7.22610	−	1.22722i	0.267450	−	0.0454215i
$731$	16.6134	+	3.79191i	0.614470	+	0.140249i
$732$	6.87224	+	4.31951i	0.254005	+	0.159654i
$733$	−2.76739	−	3.47019i	−0.102216	−	0.128174i	0.728093	−	0.685479i	$-0.240407\pi$
$733$	−2.76739	−	3.47019i	−0.102216	−	0.128174i	−0.830308	+	0.557304i	$0.811836\pi$
$734$	−21.1105	−	29.7570i	−0.779202	−	1.09835i
$735$	24.7934	+	51.4841i	0.914520	+	1.89902i
$736$	17.3504	+	24.4719i	0.639543	+	0.902047i
$737$		−	7.59302i		−	0.279693i
$738$	−90.0092	+	100.706i	−3.31329	+	3.70703i
$739$	7.77279	−	34.0548i	0.285927	−	1.25273i	−0.604133	−	0.796883i	$-0.706480\pi$
$739$	7.77279	−	34.0548i	0.285927	−	1.25273i	0.890060	−	0.455844i	$-0.150662\pi$
$740$	21.3644	+	7.47921i	0.785370	+	0.274941i
$741$	−30.2829	−	24.1498i	−1.11247	−	0.887164i
$742$	1.56822	+	0.0881841i	0.0575713	+	0.00323734i
$743$	−24.6318	−	19.6432i	−0.903655	−	0.720641i	0.0570035	−	0.998374i	$-0.481845\pi$
$743$	−24.6318	−	19.6432i	−0.903655	−	0.720641i	−0.960658	+	0.277733i	$0.910417\pi$
$744$	−32.5974	+	9.38344i	−1.19508	+	0.344013i
$745$	23.9018	+	29.9719i	0.875693	+	1.09808i
$746$	8.08316	+	11.3939i	0.295945	+	0.417160i
$747$	14.7717	−	30.6737i	0.540467	−	1.12229i
$748$	−25.0746	−	8.77808i	−0.916819	−	0.320959i
$749$	−0.909654	+	0.207623i	−0.0332381	+	0.00758637i
$750$	−40.3730	+	16.7196i	−1.47421	+	0.610513i
$751$	19.9924	−	41.5147i	0.729534	−	1.51489i	−0.123105	−	0.992394i	$-0.539285\pi$
$751$	19.9924	−	41.5147i	0.729534	−	1.51489i	0.852640	−	0.522500i	$-0.175000\pi$
$752$	30.8146	+	0.00897205i	1.12369	+	0.000327177i
$753$	43.2696			1.57683
$754$	−24.0345	−	19.5891i	−0.875284	−	0.713392i
$755$			19.0713i			0.694075i
$756$	0.479189	+	4.25849i	0.0174279	+	0.154880i
$757$	−20.6925	−	9.96497i	−0.752081	−	0.362183i	0.0182449	−	0.999834i	$-0.494192\pi$
$757$	−20.6925	−	9.96497i	−0.752081	−	0.362183i	−0.770326	+	0.637650i	$0.779906\pi$
$758$	−3.85773	−	9.31530i	−0.140119	−	0.338347i
$759$	13.6710	+	59.8966i	0.496226	+	2.17411i
$760$	7.83556	−	18.9050i	0.284225	−	0.685757i
$761$	20.2721	+	9.76252i	0.734862	+	0.353891i	0.763595	−	0.645696i	$-0.223433\pi$
$761$	20.2721	+	9.76252i	0.734862	+	0.353891i	−0.0287321	+	0.999587i	$0.509147\pi$
$762$	28.6711	+	40.4143i	1.03864	+	1.46406i
$763$	0.381812	−	0.304485i	0.0138225	−	0.0110231i
$764$	5.81565	+	16.6280i	0.210403	+	0.601578i
$765$	45.4240	−	56.9599i	1.64231	−	2.05939i
$766$	−1.53537	+	27.3043i	−0.0554752	+	0.986545i
$767$	−2.62891	+	3.29654i	−0.0949243	+	0.119031i
$768$	−32.7513	+	41.0199i	−1.18181	+	1.48018i
$769$	0.418454	+	0.0955093i	0.0150898	+	0.00344415i	0.230059	−	0.973177i	$-0.426108\pi$
$769$	0.418454	+	0.0955093i	0.0150898	+	0.00344415i	−0.214969	+	0.976621i	$0.568965\pi$
$770$	1.13866	−	1.27398i	0.0410345	−	0.0459109i
$771$	78.5989			2.83067
$772$	−2.67764	−	2.67842i	−0.0963703	−	0.0963984i
$773$	19.0749	−	9.18600i	0.686078	−	0.330398i	−0.0581650	−	0.998307i	$-0.518525\pi$
$773$	19.0749	−	9.18600i	0.686078	−	0.330398i	0.744243	+	0.667909i	$0.232811\pi$
$774$	40.5634	−	28.7768i	1.45802	−	1.03436i
$775$	−3.50123	+	2.79214i	−0.125768	+	0.100296i
$776$	0.588335	+	0.417639i	0.0211200	+	0.0149924i
$777$	−0.454107	+	1.98957i	−0.0162910	+	0.0713756i
$778$	50.7547	−	8.61977i	1.81964	−	0.309034i
$779$	15.4802	+	32.1450i	0.554636	+	1.15171i
$780$	56.4288	+	35.4680i	2.02048	+	1.26996i
$781$	1.64072	+	7.18847i	0.0587097	+	0.257224i
$782$	28.1657	+	1.58381i	1.00720	+	0.0566369i
$783$	3.82942	+	84.0573i	0.136852	+	3.00396i
$784$	−27.2228	−	6.22178i	−0.972244	−	0.222206i
$785$	45.8901	−	10.4741i	1.63789	−	0.373838i
$786$	33.1179	−	59.9120i	1.18128	−	2.13699i
$787$	15.1543	+	31.4682i	0.540191	+	1.12172i	0.975207	+	0.221296i	$0.0710286\pi$
$787$	15.1543	+	31.4682i	0.540191	+	1.12172i	−0.435016	+	0.900423i	$0.643257\pi$
$788$	−10.8831	+	1.22463i	−0.387695	+	0.0436256i
$789$	27.5665	+	6.29187i	0.981393	+	0.223997i
$790$	−21.7543	+	39.3547i	−0.773984	+	1.40018i
$791$	−0.130419	+	0.104006i	−0.00463716	+	0.00369801i
$792$	−67.8699	+	37.4910i	−2.41165	+	1.33219i
$793$	2.18530	+	4.53783i	0.0776024	+	0.161143i
$794$	−4.90026	+	5.48259i	−0.173904	+	0.194570i
$795$	−66.2950			−2.35124
$796$	−7.00904	+	7.00700i	−0.248429	+	0.248357i
$797$	10.7444	−	47.0744i	0.380587	−	1.66746i	−0.315055	−	0.949073i	$-0.602023\pi$
$797$	10.7444	−	47.0744i	0.380587	−	1.66746i	0.695642	−	0.718389i	$-0.255120\pi$
$798$	1.77285	+	0.510889i	0.0627582	+	0.0180853i
$799$	18.0673	−	22.6556i	0.639174	−	0.801499i
$800$	−1.92084	+	6.65827i	−0.0679119	+	0.235405i
$801$	88.2806	+	70.4015i	3.11924	+	2.48751i
$802$	3.93450	+	9.50068i	0.138932	+	0.335481i
$803$	−5.73519	+	4.57366i	−0.202390	+	0.161401i
$804$	−11.9467	+	7.50418i	−0.421327	+	0.264652i
$805$	−0.787228	+	1.63470i	−0.0277461	+	0.0576154i
$806$	−20.2250	−	5.82832i	−0.712396	−	0.205294i
$807$	−4.93024	−	21.6008i	−0.173553	−	0.760383i
$808$	−10.3000	−	35.7816i	−0.362354	−	1.25879i
$809$	8.68581	−	18.0363i	0.305377	−	0.634121i	−0.690649	−	0.723190i	$-0.742675\pi$
$809$	8.68581	−	18.0363i	0.305377	−	0.634121i	0.996025	+	0.0890691i	$0.0283892\pi$
$810$	−16.5260	−	97.3078i	−0.580663	−	3.41905i
$811$		−	1.72389i		−	0.0605338i	−0.999542	−	0.0302669i	$-0.990364\pi$
$811$		−	1.72389i		−	0.0605338i	0.999542	−	0.0302669i	$-0.00963573\pi$
$812$	1.41475	+	0.424057i	0.0496478	+	0.0148815i
$813$			72.5048i			2.54285i
$814$	−22.3345	+	3.79310i	−0.782822	+	0.132948i
$815$	6.45794	−	13.4100i	0.226212	−	0.469734i
$816$	10.9700	+	48.1272i	0.384026	+	1.68479i
$817$	−2.92333	−	12.8079i	−0.102274	−	0.448093i
$818$	6.61251	−	22.9463i	0.231201	−	0.802297i
$819$	−1.88044	+	3.90477i	−0.0657079	+	0.136444i
$820$	−32.6554	−	51.9876i	−1.14038	−	1.81549i
$821$	−17.6716	+	14.0926i	−0.616742	+	0.491835i	−0.881314	−	0.472531i	$-0.843341\pi$
$821$	−17.6716	+	14.0926i	−0.616742	+	0.491835i	0.264573	+	0.964366i	$0.414769\pi$
$822$	−56.1365	+	23.2477i	−1.95799	+	0.810857i
$823$	−16.5249	−	13.1782i	−0.576023	−	0.459363i	0.291632	−	0.956531i	$-0.405802\pi$
$823$	−16.5249	−	13.1782i	−0.576023	−	0.459363i	−0.867654	+	0.497168i	$0.834373\pi$
$824$	6.43324	−	37.8134i	0.224113	−	1.31729i
$825$	−8.84871	+	11.0959i	−0.308072	+	0.386311i
$826$	0.0556146	−	0.192990i	0.00193508	−	0.00671497i
$827$	11.6109	−	50.8706i	0.403750	−	1.76895i	−0.208238	−	0.978078i	$-0.566773\pi$
$827$	11.6109	−	50.8706i	0.403750	−	1.76895i	0.611988	−	0.790867i	$-0.290370\pi$
$828$	58.2267	−	58.2097i	2.02352	−	2.02293i
$829$	−24.1381			−0.838351			−0.419176	−	0.907905i	$-0.637681\pi$
$829$	−24.1381			−0.838351			−0.419176	+	0.907905i	$0.637681\pi$
$830$	11.5378	+	10.3124i	0.400484	+	0.357947i
$831$	2.29060	+	4.75648i	0.0794600	+	0.165000i
$832$	−30.7475	+	10.7439i	−1.06598	+	0.372479i
$833$	−20.5310	+	16.3729i	−0.711356	+	0.567287i
$834$	0.503185	+	0.278148i	0.0174239	+	0.00963149i
$835$	4.16820	+	0.951364i	0.144246	+	0.0329233i
$836$	2.29021	+	20.3528i	0.0792087	+	0.703918i
$837$	24.7834	+	51.4633i	0.856641	+	1.77883i
$838$	−9.88491	−	5.46413i	−0.341468	−	0.188755i
$839$	15.7620	−	3.59757i	0.544164	−	0.124202i	0.0584021	−	0.998293i	$-0.481399\pi$
$839$	15.7620	−	3.59757i	0.544164	−	0.124202i	0.485762	+	0.874091i	$0.338542\pi$
$840$	−3.12978	−	0.532475i	−0.107988	−	0.0183721i
$841$	27.1640	+	10.1548i	0.936688	+	0.350165i
$842$	1.51792	−	26.9939i	0.0523109	−	0.930272i
$843$	16.7862	+	73.5451i	0.578147	+	2.53303i
$844$	33.4339	+	21.0147i	1.15084	+	0.723355i
$845$	3.87079	+	8.03777i	0.133159	+	0.276508i
$846$	−14.1604	−	83.3790i	−0.486845	−	2.86663i
$847$	−0.0448709	+	0.196592i	−0.00154178	+	0.00675499i
$848$	20.2067	−	25.3232i	0.693900	−	0.869604i
$849$	−35.2321	+	28.0966i	−1.20916	+	0.964274i
$850$	3.77063	+	5.31503i	0.129332	+	0.182304i
$851$	21.6734	−	10.4374i	0.742956	−	0.357789i
$852$	9.68866	−	9.68584i	0.331928	−	0.331831i
$853$	31.0955			1.06469			0.532344	−	0.846528i	$-0.321311\pi$
$853$	31.0955			1.06469			0.532344	+	0.846528i	$0.321311\pi$
$854$	−0.178876	−	0.159877i	−0.00612101	−	0.00547087i
$855$	−54.7581	−	12.4982i	−1.87269	−	0.427428i
$856$	−7.36862	+	17.7784i	−0.251854	+	0.607654i
$857$	−3.42712	+	4.29747i	−0.117068	+	0.146799i	−0.836912	−	0.547337i	$-0.815642\pi$
$857$	−3.42712	+	4.29747i	−0.117068	+	0.146799i	0.719844	+	0.694135i	$0.244213\pi$
$858$	−66.5993	−	3.74500i	−2.27366	−	0.127852i
$859$	−27.6691	+	34.6960i	−0.944059	+	1.18381i	0.0387620	+	0.999248i	$0.487659\pi$
$859$	−27.6691	+	34.6960i	−0.944059	+	1.18381i	−0.982821	+	0.184564i	$0.940913\pi$
$860$	7.46314	+	21.3384i	0.254491	+	0.727634i
$861$	4.32738	−	3.45097i	0.147477	−	0.117609i
$862$	5.31584	−	3.77121i	0.181058	−	0.128448i
$863$	−16.8555	−	8.11720i	−0.573769	−	0.276313i	0.124416	−	0.992230i	$-0.460294\pi$
$863$	−16.8555	−	8.11720i	−0.573769	−	0.276313i	−0.698185	+	0.715917i	$0.746009\pi$
$864$	77.3451	+	42.7839i	2.63134	+	1.45554i
$865$	−2.31991	−	10.1642i	−0.0788793	−	0.345593i
$866$	−25.0903	+	10.3906i	−0.852604	+	0.353087i
$867$	−8.42629	−	4.05789i	−0.286172	−	0.137813i
$868$	0.996302	−	0.112109i	0.0338167	−	0.00380524i
$869$		−	45.0041i		−	1.52666i
$870$	−60.6232	−	14.5176i	−2.05532	−	0.492193i
$871$	−8.75403			−0.296619
$872$	−0.562590	−	10.0571i	−0.0190517	−	0.340575i
$873$	0.859178	−	1.78410i	0.0290788	−	0.0603827i
$874$	−8.32125	−	20.0934i	−0.281471	−	0.679670i
$875$	1.25918	−	0.287400i	0.0425681	−	0.00971590i
$876$	12.8642	+	4.50347i	0.434640	+	0.152158i
$877$	−7.39326	+	15.3523i	−0.249653	+	0.518409i	−0.987704	−	0.156336i	$-0.950032\pi$
$877$	−7.39326	+	15.3523i	−0.249653	+	0.518409i	0.738051	+	0.674744i	$0.235746\pi$
$878$	27.8878	−	19.7844i	0.941167	−	0.667690i
$879$	−62.3297	−	78.1590i	−2.10233	−	2.63624i
$880$	−7.83229	−	34.3616i	−0.264027	−	1.15833i
$881$	−37.0521	−	29.5481i	−1.24832	−	0.995500i	−0.999638	−	0.0269145i	$-0.991432\pi$
$881$	−37.0521	−	29.5481i	−1.24832	−	0.995500i	−0.248680	−	0.968586i	$-0.579997\pi$
$882$	−4.30289	+	76.5206i	−0.144886	+	2.57658i
$883$	−13.1560	−	10.4916i	−0.442735	−	0.353070i	0.376608	−	0.926373i	$-0.377090\pi$
$883$	−13.1560	−	10.4916i	−0.442735	−	0.353070i	−0.819343	+	0.573303i	$0.805662\pi$
$884$	−10.1203	+	28.9086i	−0.340382	+	0.972303i
$885$	−1.88632	+	8.26450i	−0.0634079	+	0.277808i
$886$	37.8742	+	33.8514i	1.27241	+	1.13726i
$887$			46.9421i			1.57616i	0.615571	+	0.788081i	$0.288925\pi$
$887$			46.9421i			1.57616i	−0.615571	+	0.788081i	$0.711075\pi$
$888$	28.0411	+	31.3918i	0.940998	+	1.05344i
$889$	−0.635453	−	1.31953i	−0.0213124	−	0.0442557i
$890$	−41.8598	+	29.6966i	−1.40314	+	0.995431i
$891$	61.5896	+	77.2310i	2.06333	+	2.58733i
$892$	20.8979	+	13.1352i	0.699712	+	0.439800i
$893$	−21.7799	−	4.97111i	−0.728836	−	0.166352i
$894$	11.9358	+	70.2803i	0.399194	+	2.35052i
$895$	35.8478	−	17.2634i	1.19826	−	0.577051i
$896$	1.15735	−	1.03321i	0.0386643	−	0.0345172i
$897$	69.0551	−	15.7614i	2.30568	−	0.526257i
$898$	−43.0210	−	2.41915i	−1.43563	−	0.0807280i
$899$	19.6657	−	0.895918i	0.655889	−	0.0298805i
$900$	18.8994	+	2.13224i	0.629981	+	0.0710746i
$901$	−6.77929	−	29.7020i	−0.225851	−	0.989517i
$902$	53.7744	+	29.7252i	1.79049	+	0.989740i
$903$	−1.83622	+	0.884278i	−0.0611056	+	0.0294269i
$904$	0.192169	+	3.43528i	0.00639144	+	0.114256i
$905$	8.13363	−	35.6358i	0.270371	−	1.18457i
$906$	−17.1568	+	31.0376i	−0.569998	+	1.03116i
$907$	32.7417	+	41.0568i	1.08717	+	1.36327i	0.926515	+	0.376258i	$0.122789\pi$
$907$	32.7417	+	41.0568i	1.08717	+	1.36327i	0.160656	+	0.987010i	$0.448639\pi$
$908$	0.709411	−	0.445608i	0.0235426	−	0.0147880i
$909$	−92.0726	+	44.3398i	−3.05386	+	1.47066i
$910$	−1.46877	−	1.31277i	−0.0486894	−	0.0435178i
$911$		−	23.2178i		−	0.769240i	−0.923075	−	0.384620i	$-0.874332\pi$
$911$		−	23.2178i		−	0.769240i	0.923075	−	0.384620i	$-0.125668\pi$
$912$	29.7593	−	23.7181i	0.985429	−	0.785384i
$913$	−15.0991	−	3.44627i	−0.499707	−	0.114055i
$914$	−37.6406	−	10.8470i	−1.24504	−	0.358788i
$915$	7.91681	+	6.31344i	0.261722	+	0.208716i
$916$	29.6374	+	3.34370i	0.979248	+	0.110479i
$917$	−1.26152	+	1.58190i	−0.0416592	+	0.0522389i
$918$	76.7956	−	31.8032i	2.53463	−	1.04966i
$919$	3.00071	+	3.76277i	0.0989843	+	0.124122i	0.828857	−	0.559461i	$-0.188992\pi$
$919$	3.00071	+	3.76277i	0.0989843	+	0.124122i	−0.729872	+	0.683584i	$0.760420\pi$
$920$	18.0951	+	32.7576i	0.596579	+	1.07999i
$921$	60.7353	+	29.2486i	2.00130	+	0.963773i
$922$	9.10040	+	2.62250i	0.299706	+	0.0863673i
$923$	8.28763	−	1.89160i	0.272791	−	0.0622627i
$924$	2.99921	−	1.04898i	0.0986667	−	0.0345089i
$925$	5.00667	+	2.41108i	0.164618	+	0.0792759i
$926$	9.36806	−	1.59100i	0.307853	−	0.0522834i
$927$	−105.273			−3.45761
$928$	24.0233	−	18.7318i	0.788604	−	0.614901i
$929$	−17.2575			−0.566201			−0.283101	−	0.959090i	$-0.591363\pi$
$929$	−17.2575			−0.566201			−0.283101	+	0.959090i	$0.591363\pi$
$930$	−41.7192	+	7.08525i	−1.36803	+	0.232334i
$931$	18.2400	+	8.78393i	0.597792	+	0.287882i
$932$	33.9715	−	11.8816i	1.11277	−	0.389195i
$933$	−63.4906	+	14.4913i	−2.07859	+	0.474424i
$934$	−12.2125	−	3.51932i	−0.399605	−	0.115156i
$935$	−29.8599	−	14.3798i	−0.976523	−	0.470269i
$936$	43.2236	+	78.2476i	1.41281	+	2.55760i
$937$	29.6931	+	37.2339i	0.970030	+	1.21638i	0.976305	+	0.216398i	$0.0694310\pi$
$937$	29.6931	+	37.2339i	0.970030	+	1.21638i	−0.00627546	+	0.999980i	$0.501998\pi$
$938$	0.385255	−	0.159545i	0.0125790	−	0.00520932i
$939$	−25.3305	+	31.7634i	−0.826630	+	1.03656i
$940$	38.1989	+	4.30962i	1.24591	+	0.140564i
$941$	−12.9129	−	10.2977i	−0.420947	−	0.335694i	0.389999	−	0.920815i	$-0.372476\pi$
$941$	−12.9129	−	10.2977i	−0.420947	−	0.335694i	−0.810946	+	0.585121i	$0.801047\pi$
$942$	84.1068	+	24.2374i	2.74035	+	0.789696i
$943$	−63.6084	−	14.5182i	−2.07138	−	0.472778i
$944$	−2.58191	−	3.23955i	−0.0840340	−	0.105438i
$945$			5.34600i			0.173905i
$946$	−16.8686	−	15.0769i	−0.548447	−	0.490194i
$947$	−38.0385	+	18.3184i	−1.23608	+	0.595267i	−0.933747	−	0.357934i	$-0.883481\pi$
$947$	−38.0385	+	18.3184i	−1.23608	+	0.595267i	−0.302337	+	0.953201i	$0.597767\pi$
$948$	−70.8084	+	44.4775i	−2.29975	+	1.44456i
$949$	5.27299	+	6.61213i	0.171169	+	0.214639i
$950$	2.43051	−	4.39691i	0.0788560	−	0.142655i
$951$	18.7389	−	82.1005i	0.607650	−	2.66229i
$952$	−0.0814863	−	1.45668i	−0.00264099	−	0.0472113i
$953$	10.9221	−	5.25981i	0.353801	−	0.170382i	−0.248537	−	0.968622i	$-0.579950\pi$
$953$	10.9221	−	5.25981i	0.353801	−	0.170382i	0.602339	+	0.798240i	$0.294236\pi$
$954$	−77.8185	−	43.0161i	−2.51947	−	1.39270i
$955$	4.89001	+	21.4245i	0.158237	+	0.693282i
$956$	43.5749	+	4.91614i	1.40931	+	0.158999i
$957$	60.1293	−	16.6364i	1.94371	−	0.537780i
$958$	7.62886	+	0.428985i	0.246477	+	0.0138599i
$959$	1.75083	−	0.399615i	0.0565371	−	0.0129042i
$960$	−46.3232	+	46.2827i	−1.49507	+	1.49377i
$961$	−15.8899	+	7.65215i	−0.512576	+	0.246844i
$962$	4.37309	+	25.7495i	0.140994	+	0.830197i
$963$	51.4949	+	11.7534i	1.65940	+	0.378747i
$964$	−4.88235	−	3.06877i	−0.157250	−	0.0988386i
$965$	−2.94578	−	3.69389i	−0.0948280	−	0.118911i
$966$	−2.75178	+	1.95219i	−0.0885370	+	0.0628106i
$967$	−0.915684	−	1.90144i	−0.0294464	−	0.0611461i	0.885727	−	0.464207i	$-0.153661\pi$
$967$	−0.915684	−	1.90144i	−0.0294464	−	0.0611461i	−0.915173	+	0.403061i	$0.867946\pi$
$968$	2.77078	+	3.10186i	0.0890562	+	0.0996977i
$969$		−	35.7861i		−	1.14962i
$970$	0.671087	+	0.599808i	0.0215473	+	0.0192587i
$971$	3.08865	−	13.5322i	0.0991194	−	0.434270i	−0.900881	−	0.434067i	$-0.857078\pi$
$971$	3.08865	−	13.5322i	0.0991194	−	0.434270i	1.00000		0.000203393i	$-6.47419e-5\pi$
$972$	29.6675	−	84.7451i	0.951584	−	2.71820i
$973$	−0.0132860	−	0.0105952i	−0.000425928	−	0.000339667i
$974$	1.03254	−	18.3622i	0.0330846	−	0.588362i
$975$	12.7925	+	10.2017i	0.409689	+	0.326716i
$976$	−4.82464	+	1.09971i	−0.154433	+	0.0352010i
$977$	−5.46388	−	6.85148i	−0.174805	−	0.219198i	0.686709	−	0.726932i	$-0.259055\pi$
$977$	−5.46388	−	6.85148i	−0.174805	−	0.219198i	−0.861514	+	0.507734i	$0.830483\pi$
$978$	22.5739	−	16.0146i	0.721834	−	0.512089i
$979$	22.2868	−	46.2791i	0.712290	−	1.47909i
$980$	−32.8796	−	11.5104i	−1.05030	−	0.367688i
$981$	−26.9523	+	6.15170i	−0.860522	+	0.196409i
$982$	−6.37420	−	15.3919i	−0.203409	−	0.491174i
$983$	6.12286	−	12.7143i	0.195289	−	0.405522i	−0.780212	−	0.625515i	$-0.784889\pi$
$983$	6.12286	−	12.7143i	0.195289	−	0.405522i	0.975502	+	0.219993i	$0.0706034\pi$
$984$	−6.37628	−	113.985i	−0.203268	−	3.63370i
$985$	−13.6624			−0.435320
$986$	0.304995	−	28.6454i	0.00971303	−	0.912257i
$987$			3.46571i			0.110315i
$988$	23.4649	−	2.64040i	0.746518	−	0.0840023i
$989$	21.6449	+	10.4236i	0.688268	+	0.331452i
$990$	−89.3666	+	37.0092i	−2.84026	+	1.17623i
$991$	12.0311	+	52.7115i	0.382179	+	1.67444i	0.690639	+	0.723200i	$0.257329\pi$
$991$	12.0311	+	52.7115i	0.382179	+	1.67444i	−0.308460	+	0.951237i	$0.599814\pi$
$992$	10.0096	−	18.0954i	0.317804	−	0.574529i
$993$	−52.4844	−	25.2752i	−1.66554	−	0.802083i
$994$	−0.330254	+	0.234291i	−0.0104750	+	0.00743127i
$995$	−9.66639	+	7.70869i	−0.306445	+	0.244382i
$996$	9.50014	+	27.1625i	0.301023	+	0.860677i
$997$	−21.1107	+	26.4719i	−0.668582	+	0.838375i	−0.994247	−	0.107110i	$-0.965840\pi$
$997$	−21.1107	+	26.4719i	−0.668582	+	0.838375i	0.325666	+	0.945485i	$0.394412\pi$
$998$	20.4241	+	1.14848i	0.646513	+	0.0363546i
$999$	44.1925	−	55.4157i	1.39819	−	1.75328i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.2	✓	168
4.3	odd	2		928.2.be.a.689.28		168
8.3	odd	2		928.2.be.a.689.1		168
8.5	even	2	inner	232.2.o.a.109.4	yes	168
29.4	even	14	inner	232.2.o.a.149.4	yes	168
116.91	odd	14		928.2.be.a.497.1		168
232.91	odd	14		928.2.be.a.497.28		168
232.149	even	14	inner	232.2.o.a.149.2	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.2	✓	168	1.1	even	1	trivial
232.2.o.a.109.4	yes	168	8.5	even	2	inner
232.2.o.a.149.2	yes	168	232.149	even	14	inner
232.2.o.a.149.4	yes	168	29.4	even	14	inner
928.2.be.a.497.1		168	116.91	odd	14
928.2.be.a.497.28		168	232.91	odd	14
928.2.be.a.689.1		168	8.3	odd	2
928.2.be.a.689.28		168	4.3	odd	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.o (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39425 + 0.236788i) q^{2} +(-2.95578 - 1.42343i) q^{3} +(1.88786 - 0.660283i) q^{4} +(2.43245 - 0.555190i) q^{5} +(4.45815 + 1.28472i) q^{6} +(-0.123550 - 0.0594984i) q^{7} +(-2.47580 + 1.36762i) q^{8} +(4.84004 + 6.06921i) q^{9} +O(q^{10})\)	\(q+(-1.39425 + 0.236788i) q^{2} +(-2.95578 - 1.42343i) q^{3} +(1.88786 - 0.660283i) q^{4} +(2.43245 - 0.555190i) q^{5} +(4.45815 + 1.28472i) q^{6} +(-0.123550 - 0.0594984i) q^{7} +(-2.47580 + 1.36762i) q^{8} +(4.84004 + 6.06921i) q^{9} +(-3.25997 + 1.35005i) q^{10} +(2.20177 - 2.76093i) q^{11} +(-6.51998 - 0.735587i) q^{12} +(-3.18309 - 2.53843i) q^{13} +(0.186347 + 0.0537005i) q^{14} +(-7.98006 - 1.82140i) q^{15} +(3.12805 - 2.49305i) q^{16} -3.76154i q^{17} +(-8.18533 - 7.31593i) q^{18} +(-2.61274 + 1.25823i) q^{19} +(4.22554 - 2.65423i) q^{20} +(0.280494 + 0.351729i) q^{21} +(-2.41606 + 4.37077i) q^{22} +(1.18004 - 5.17008i) q^{23} +(9.26466 - 0.518263i) q^{24} +(1.10371 - 0.531519i) q^{25} +(5.03909 + 2.78548i) q^{26} +(-3.47694 - 15.2335i) q^{27} +(-0.272530 - 0.0307470i) q^{28} +(-5.29924 - 0.958136i) q^{29} +(11.5575 + 0.649898i) q^{30} +(-3.56397 + 0.813453i) q^{31} +(-3.77096 + 4.21662i) q^{32} +(-10.4379 + 5.02664i) q^{33} +(0.890689 + 5.24453i) q^{34} +(-0.333561 - 0.0761330i) q^{35} +(13.1447 + 8.26205i) q^{36} +(2.82828 + 3.54655i) q^{37} +(3.34487 - 2.37295i) q^{38} +(5.79524 + 12.0339i) q^{39} +(-5.26297 + 4.70121i) q^{40} -12.3032i q^{41} +(-0.474364 - 0.423980i) q^{42} +(-1.00807 + 4.41665i) q^{43} +(2.33364 - 6.66604i) q^{44} +(15.1427 + 12.0759i) q^{45} +(-0.421053 + 7.48780i) q^{46} +(6.02296 + 4.80315i) q^{47} +(-12.7945 + 2.91635i) q^{48} +(-4.35270 - 5.45812i) q^{49} +(-1.41299 + 1.00242i) q^{50} +(-5.35430 + 11.1183i) q^{51} +(-7.68531 - 2.69046i) q^{52} +(7.89622 - 1.80226i) q^{53} +(8.45483 + 20.4160i) q^{54} +(3.82284 - 7.93820i) q^{55} +(0.387256 - 0.0216630i) q^{56} +9.51368 q^{57} +(7.61534 + 0.0810825i) q^{58} -1.03564i q^{59} +(-16.2679 + 1.83055i) q^{60} +(-1.11458 - 0.536756i) q^{61} +(4.77645 - 1.97806i) q^{62} +(-0.236876 - 1.03782i) q^{63} +(4.25921 - 6.77193i) q^{64} +(-9.15199 - 4.40737i) q^{65} +(13.3628 - 9.47997i) q^{66} +(1.68107 - 1.34061i) q^{67} +(-2.48369 - 7.10128i) q^{68} +(-10.8472 + 13.6019i) q^{69} +(0.483094 + 0.0271653i) q^{70} +(-1.30182 + 1.63243i) q^{71} +(-20.2834 - 8.40684i) q^{72} +(-2.02519 - 0.462236i) q^{73} +(-4.78311 - 4.27507i) q^{74} -4.01891 q^{75} +(-4.10170 + 4.10051i) q^{76} +(-0.436298 + 0.210110i) q^{77} +(-10.9295 - 15.4061i) q^{78} +(9.96376 - 7.94583i) q^{79} +(6.22470 - 7.80087i) q^{80} +(-6.22454 + 27.2715i) q^{81} +(2.91325 + 17.1537i) q^{82} +(-1.90287 - 3.95136i) q^{83} +(0.761775 + 0.478810i) q^{84} +(-2.08837 - 9.14975i) q^{85} +(0.359693 - 6.39662i) q^{86} +(14.2996 + 10.3751i) q^{87} +(-1.67523 + 9.84670i) q^{88} +(14.1810 - 3.23671i) q^{89} +(-23.9721 - 13.2512i) q^{90} +(0.242237 + 0.503010i) q^{91} +(-1.18597 - 10.5396i) q^{92} +(11.6922 + 2.66867i) q^{93} +(-9.53484 - 5.27063i) q^{94} +(-5.65678 + 4.51113i) q^{95} +(17.1482 - 7.09571i) q^{96} +(-0.110679 - 0.229827i) q^{97} +(7.36117 + 6.57931i) q^{98} +27.4133 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

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