LMFDB - Embedded newform 147.2.o.b.101.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [147,2,Mod(5,147)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(147, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 29]))

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

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

chi := DirichletCharacter("147.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 147 = 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	147.o (of order $42$, degree $12$, 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:	$1.17380090971$
Analytic rank:	$0$
Dimension:	$192$
Relative dimension:	$16$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			101.9
Character	$\chi$	$=$	147.101
Dual form			147.2.o.b.131.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.236609 + 0.0928620i) q^{2} +(0.113416 - 1.72833i) q^{3} +(-1.41874 - 1.31640i) q^{4} +(-1.66272 - 1.13362i) q^{5} +(0.187332 - 0.398407i) q^{6} +(1.28490 + 2.31280i) q^{7} +(-0.434011 - 0.901234i) q^{8} +(-2.97427 - 0.392040i) q^{9} +(-0.288143 - 0.422628i) q^{10} +(-0.730006 - 4.84327i) q^{11} +(-2.43609 + 2.30276i) q^{12} +(1.15368 - 0.920028i) q^{13} +(0.0892461 + 0.666546i) q^{14} +(-2.14785 + 2.74516i) q^{15} +(0.270264 + 3.60642i) q^{16} +(4.96351 + 1.53104i) q^{17} +(-0.667333 - 0.368957i) q^{18} +(6.46990 - 3.73540i) q^{19} +(0.866668 + 3.79712i) q^{20} +(4.14302 - 1.95842i) q^{21} +(0.277031 - 1.21375i) q^{22} +(1.23562 + 4.00578i) q^{23} +(-1.60686 + 0.647903i) q^{24} +(-0.347176 - 0.884590i) q^{25} +(0.358406 - 0.110554i) q^{26} +(-1.01490 + 5.09607i) q^{27} +(1.22164 - 4.97271i) q^{28} +(-5.37434 + 1.22666i) q^{29} +(-0.763121 + 0.450074i) q^{30} +(0.635505 + 0.366909i) q^{31} +(-0.860637 + 2.79012i) q^{32} +(-8.45359 + 0.712392i) q^{33} +(1.03223 + 0.823180i) q^{34} +(0.485420 - 5.30211i) q^{35} +(3.70365 + 4.47154i) q^{36} +(2.23228 - 2.07125i) q^{37} +(1.87771 - 0.283019i) q^{38} +(-1.45927 - 2.09829i) q^{39} +(-0.300020 + 1.99050i) q^{40} +(5.15291 - 2.48151i) q^{41} +(1.16214 - 0.0786504i) q^{42} +(-3.97258 - 1.91309i) q^{43} +(-5.34000 + 7.83235i) q^{44} +(4.50095 + 4.02355i) q^{45} +(-0.0796267 + 1.06254i) q^{46} +(-3.45128 + 8.79371i) q^{47} +(6.26375 - 0.0580819i) q^{48} +(-3.69808 + 5.94341i) q^{49} -0.241541i q^{50} +(3.20909 - 8.40497i) q^{51} +(-2.84790 - 0.213421i) q^{52} +(5.92004 - 6.38029i) q^{53} +(-0.713367 + 1.11153i) q^{54} +(-4.27664 + 8.88054i) q^{55} +(1.52671 - 2.16177i) q^{56} +(-5.72222 - 11.6058i) q^{57} +(-1.38552 - 0.208834i) q^{58} +(-2.11188 + 1.43985i) q^{59} +(6.66098 - 1.06724i) q^{60} +(0.698781 + 0.753107i) q^{61} +(0.116294 + 0.145828i) q^{62} +(-2.91492 - 7.38263i) q^{63} +(4.04701 - 5.07479i) q^{64} +(-2.96120 + 0.221912i) q^{65} +(-2.06635 - 0.616459i) q^{66} +(-3.22868 + 5.59224i) q^{67} +(-5.02649 - 8.70613i) q^{68} +(7.06346 - 1.68124i) q^{69} +(0.607220 - 1.20945i) q^{70} +(-8.69885 - 1.98546i) q^{71} +(0.937549 + 2.85067i) q^{72} +(10.3158 - 4.04866i) q^{73} +(0.720516 - 0.282782i) q^{74} +(-1.56824 + 0.499710i) q^{75} +(-14.0964 - 3.21741i) q^{76} +(10.2635 - 7.91146i) q^{77} +(-0.150425 - 0.631984i) q^{78} +(4.64340 + 8.04260i) q^{79} +(3.63894 - 6.30283i) q^{80} +(8.69261 + 2.33207i) q^{81} +(1.44966 - 0.108637i) q^{82} +(-1.39283 + 1.74655i) q^{83} +(-8.45595 - 2.67538i) q^{84} +(-6.51730 - 8.17243i) q^{85} +(-0.762293 - 0.821556i) q^{86} +(1.51054 + 9.42778i) q^{87} +(-4.04809 + 2.75994i) q^{88} +(4.40608 + 0.664110i) q^{89} +(0.691328 + 1.36997i) q^{90} +(3.61020 + 1.48609i) q^{91} +(3.52019 - 7.30975i) q^{92} +(0.706218 - 1.05675i) q^{93} +(-1.63320 + 1.76017i) q^{94} +(-14.9921 - 1.12350i) q^{95} +(4.72464 + 1.80391i) q^{96} -13.7657i q^{97} +(-1.42692 + 1.06285i) q^{98} +(0.272482 + 14.6914i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27}+ \cdots - 136 q^{99}+O(q^{100}) $ 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9 - 28 * q^10 + 21 * q^12 - 28 * q^13 - 10 * q^15 - 20 * q^16 - 3 * q^18 - 42 * q^19 - 14 * q^21 - 34 * q^22 - 14 * q^24 - 16 * q^25 + 7 * q^27 - 70 * q^28 - q^30 - 42 * q^31 - 14 * q^33 + 28 * q^34 + 10 * q^36 + 46 * q^37 + 51 * q^39 + 112 * q^40 - 28 * q^42 - 36 * q^43 - 35 * q^45 + 148 * q^46 + 28 * q^49 - 20 * q^51 - 28 * q^52 - 14 * q^54 + 182 * q^55 + 2 * q^57 + 126 * q^58 - 132 * q^60 - 168 * q^61 - 119 * q^63 - 4 * q^64 - 42 * q^66 - 26 * q^67 + 70 * q^69 + 28 * q^70 + 6 * q^72 - 28 * q^73 - 140 * q^75 - 252 * q^76 + 36 * q^78 - 10 * q^79 + 134 * q^81 + 42 * q^82 + 56 * q^84 - 76 * q^85 + 98 * q^87 - 20 * q^88 + 175 * q^90 + 178 * q^93 + 322 * q^96 - 136 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/147\mathbb{Z}\right)^\times$.

$n$	$50$	$52$
$\chi(n)$	$-1$	$e\left(\frac{1}{42}\right)$

Coefficient data

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

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

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

$2$	0.236609	+	0.0928620i	0.167308	+	0.0656634i	0.447517	−	0.894276i	$-0.352309\pi$
$2$	0.236609	+	0.0928620i	0.167308	+	0.0656634i	−0.280209	+	0.959939i	$0.590404\pi$
$3$	0.113416	−	1.72833i	0.0654805	−	0.997854i
$3$	0.113416	−	1.72833i	0.0654805	−	0.997854i
$4$	−1.41874	−	1.31640i	−0.709372	−	0.658201i
$5$	−1.66272	−	1.13362i	−0.743589	−	0.506971i	0.131271	−	0.991347i	$-0.458094\pi$
$5$	−1.66272	−	1.13362i	−0.743589	−	0.506971i	−0.874860	+	0.484376i	$0.839047\pi$
$6$	0.187332	−	0.398407i	0.0764778	−	0.162649i
$7$	1.28490	+	2.31280i	0.485645	+	0.874156i
$7$	1.28490	+	2.31280i	0.485645	+	0.874156i
$8$	−0.434011	−	0.901234i	−0.153446	−	0.318634i
$9$	−2.97427	−	0.392040i	−0.991425	−	0.130680i
$10$	−0.288143	−	0.422628i	−0.0911187	−	0.133647i
$11$	−0.730006	−	4.84327i	−0.220105	−	1.46030i	−0.776885	−	0.629642i	$-0.783201\pi$
$11$	−0.730006	−	4.84327i	−0.220105	−	1.46030i	0.556780	−	0.830660i	$-0.312037\pi$
$12$	−2.43609	+	2.30276i	−0.703238	+	0.664750i
$13$	1.15368	−	0.920028i	0.319973	−	0.255170i	−0.450310	−	0.892872i	$-0.648686\pi$
$13$	1.15368	−	0.920028i	0.319973	−	0.255170i	0.770283	+	0.637702i	$0.220115\pi$
$14$	0.0892461	+	0.666546i	0.0238520	+	0.178142i
$15$	−2.14785	+	2.74516i	−0.554573	+	0.708797i
$16$	0.270264	+	3.60642i	0.0675659	+	0.901605i
$17$	4.96351	+	1.53104i	1.20383	+	0.371332i	0.830844	−	0.556505i	$-0.187858\pi$
$17$	4.96351	+	1.53104i	1.20383	+	0.371332i	0.372985	+	0.927837i	$0.378334\pi$
$18$	−0.667333	−	0.368957i	−0.157292	−	0.0869640i
$19$	6.46990	−	3.73540i	1.48430	−	0.856959i	0.484455	−	0.874816i	$-0.339018\pi$
$19$	6.46990	−	3.73540i	1.48430	−	0.856959i	0.999841	+	0.0178572i	$0.00568444\pi$
$20$	0.866668	+	3.79712i	0.193793	+	0.849062i
$21$	4.14302	−	1.95842i	0.904080	−	0.427363i
$22$	0.277031	−	1.21375i	0.0590631	−	0.258772i
$23$	1.23562	+	4.00578i	0.257644	+	0.835263i	0.988301	+	0.152517i	$0.0487380\pi$
$23$	1.23562	+	4.00578i	0.257644	+	0.835263i	−0.730656	+	0.682745i	$0.760786\pi$
$24$	−1.60686	+	0.647903i	−0.327998	+	0.132253i
$25$	−0.347176	−	0.884590i	−0.0694352	−	0.176918i
$26$	0.358406	−	0.110554i	0.0702892	−	0.0216813i
$27$	−1.01490	+	5.09607i	−0.195318	+	0.980740i
$28$	1.22164	−	4.97271i	0.230867	−	0.939754i
$29$	−5.37434	+	1.22666i	−0.997990	+	0.227785i	−0.690160	−	0.723657i	$-0.742460\pi$
$29$	−5.37434	+	1.22666i	−0.997990	+	0.227785i	−0.307830	+	0.951441i	$0.599603\pi$
$30$	−0.763121	+	0.450074i	−0.139326	+	0.0821719i
$31$	0.635505	+	0.366909i	0.114140	+	0.0658988i	0.555983	−	0.831194i	$-0.312342\pi$
$31$	0.635505	+	0.366909i	0.114140	+	0.0658988i	−0.441843	+	0.897092i	$0.645675\pi$
$32$	−0.860637	+	2.79012i	−0.152140	+	0.493227i
$33$	−8.45359	+	0.712392i	−1.47158	+	0.124011i
$34$	1.03223	+	0.823180i	0.177027	+	0.141174i
$35$	0.485420	−	5.30211i	0.0820510	−	0.896221i
$36$	3.70365	+	4.47154i	0.617275	+	0.745257i
$37$	2.23228	−	2.07125i	0.366984	−	0.340512i	−0.475027	−	0.879971i	$-0.657562\pi$
$37$	2.23228	−	2.07125i	0.366984	−	0.340512i	0.842012	+	0.539459i	$0.181371\pi$
$38$	1.87771	−	0.283019i	0.304605	−	0.0459118i
$39$	−1.45927	−	2.09829i	−0.233670	−	0.335995i
$40$	−0.300020	+	1.99050i	−0.0474373	+	0.314726i
$41$	5.15291	−	2.48151i	0.804750	−	0.387547i	0.0141650	−	0.999900i	$-0.495491\pi$
$41$	5.15291	−	2.48151i	0.804750	−	0.387547i	0.790585	+	0.612353i	$0.209777\pi$
$42$	1.16214	−	0.0786504i	0.179321	−	0.0121360i
$43$	−3.97258	−	1.91309i	−0.605813	−	0.291744i	0.105721	−	0.994396i	$-0.466285\pi$
$43$	−3.97258	−	1.91309i	−0.605813	−	0.291744i	−0.711534	+	0.702652i	$0.751999\pi$
$44$	−5.34000	+	7.83235i	−0.805036	+	1.18077i
$45$	4.50095	+	4.02355i	0.670962	+	0.599795i
$46$	−0.0796267	+	1.06254i	−0.0117403	+	0.156664i
$47$	−3.45128	+	8.79371i	−0.503421	+	1.28269i	0.422975	+	0.906142i	$0.360986\pi$
$47$	−3.45128	+	8.79371i	−0.503421	+	1.28269i	−0.926395	+	0.376553i	$0.877109\pi$
$48$	6.26375	−	0.0580819i	0.904094	−	0.00838340i
$49$	−3.69808	+	5.94341i	−0.528298	+	0.849059i
$50$		−	0.241541i		−	0.0341591i
$51$	3.20909	−	8.40497i	0.449363	−	1.17693i
$52$	−2.84790	−	0.213421i	−0.394933	−	0.0295961i
$53$	5.92004	−	6.38029i	0.813180	−	0.876400i	−0.181071	−	0.983470i	$-0.557956\pi$
$53$	5.92004	−	6.38029i	0.813180	−	0.876400i	0.994251	+	0.107070i	$0.0341470\pi$
$54$	−0.713367	+	1.11153i	−0.0970769	+	0.151260i
$55$	−4.27664	+	8.88054i	−0.576662	+	1.19745i
$56$	1.52671	−	2.16177i	0.204016	−	0.288879i
$57$	−5.72222	−	11.6058i	−0.757927	−	1.53722i
$58$	−1.38552	−	0.208834i	−0.181928	−	0.0274213i
$59$	−2.11188	+	1.43985i	−0.274943	+	0.187453i	−0.692940	−	0.720996i	$-0.743685\pi$
$59$	−2.11188	+	1.43985i	−0.274943	+	0.187453i	0.417997	+	0.908449i	$0.362732\pi$
$60$	6.66098	−	1.06724i	0.859929	−	0.137780i
$61$	0.698781	+	0.753107i	0.0894698	+	0.0964255i	0.776200	−	0.630487i	$-0.217145\pi$
$61$	0.698781	+	0.753107i	0.0894698	+	0.0964255i	−0.686730	+	0.726913i	$0.740954\pi$
$62$	0.116294	+	0.145828i	0.0147694	+	0.0185202i
$63$	−2.91492	−	7.38263i	−0.367246	−	0.930124i
$64$	4.04701	−	5.07479i	0.505877	−	0.634349i
$65$	−2.96120	+	0.221912i	−0.367292	+	0.0275247i
$66$	−2.06635	−	0.616459i	−0.254350	−	0.0758809i
$67$	−3.22868	+	5.59224i	−0.394446	+	0.683201i	−0.993030	−	0.117859i	$-0.962397\pi$
$67$	−3.22868	+	5.59224i	−0.394446	+	0.683201i	0.598584	+	0.801060i	$0.295730\pi$
$68$	−5.02649	−	8.70613i	−0.609551	−	1.05577i
$69$	7.06346	−	1.68124i	0.850341	−	0.202398i
$70$	0.607220	−	1.20945i	0.0725766	−	0.144557i
$71$	−8.69885	−	1.98546i	−1.03236	−	0.235630i	−0.327409	−	0.944883i	$-0.606176\pi$
$71$	−8.69885	−	1.98546i	−1.03236	−	0.235630i	−0.704955	+	0.709252i	$0.749033\pi$
$72$	0.937549	+	2.85067i	0.110491	+	0.335954i
$73$	10.3158	−	4.04866i	1.20738	−	0.473860i	0.325590	−	0.945511i	$-0.394437\pi$
$73$	10.3158	−	4.04866i	1.20738	−	0.473860i	0.881785	+	0.471651i	$0.156342\pi$
$74$	0.720516	−	0.282782i	0.0837583	−	0.0328727i
$75$	−1.56824	+	0.499710i	−0.181085	+	0.0577015i
$76$	−14.0964	−	3.21741i	−1.61697	−	0.369063i
$77$	10.2635	−	7.91146i	1.16964	−	0.901595i
$78$	−0.150425	−	0.631984i	−0.0170322	−	0.0715581i
$79$	4.64340	+	8.04260i	0.522423	+	0.904863i	0.999660	+	0.0260884i	$0.00830515\pi$
$79$	4.64340	+	8.04260i	0.522423	+	0.904863i	−0.477237	+	0.878775i	$0.658362\pi$
$80$	3.63894	−	6.30283i	0.406846	−	0.704678i
$81$	8.69261	+	2.33207i	0.965846	+	0.259119i
$82$	1.44966	−	0.108637i	0.160088	−	0.0119970i
$83$	−1.39283	+	1.74655i	−0.152882	+	0.191709i	−0.852374	−	0.522932i	$-0.824838\pi$
$83$	−1.39283	+	1.74655i	−0.152882	+	0.191709i	0.699492	+	0.714640i	$0.253410\pi$
$84$	−8.45595	−	2.67538i	−0.922619	−	0.291907i
$85$	−6.51730	−	8.17243i	−0.706900	−	0.886425i
$86$	−0.762293	−	0.821556i	−0.0822002	−	0.0885907i
$87$	1.51054	+	9.42778i	0.161947	+	1.01076i
$88$	−4.04809	+	2.75994i	−0.431528	+	0.294211i
$89$	4.40608	+	0.664110i	0.467043	+	0.0703955i	0.378348	−	0.925663i	$-0.376492\pi$
$89$	4.40608	+	0.664110i	0.467043	+	0.0703955i	0.0886952	+	0.996059i	$0.471730\pi$
$90$	0.691328	+	1.36997i	0.0728724	+	0.144408i
$91$	3.61020	+	1.48609i	0.378452	+	0.155784i
$92$	3.52019	−	7.30975i	0.367005	−	0.762094i
$93$	0.706218	−	1.05675i	0.0732314	−	0.109580i
$94$	−1.63320	+	1.76017i	−0.168452	+	0.181548i
$95$	−14.9921	−	1.12350i	−1.53816	−	0.115269i
$96$	4.72464	+	1.80391i	0.482207	+	0.184111i
$97$		−	13.7657i		−	1.39769i	−0.715272	−	0.698846i	$-0.753697\pi$
$97$		−	13.7657i		−	1.39769i	0.715272	−	0.698846i	$-0.246303\pi$
$98$	−1.42692	+	1.06285i	−0.144140	+	0.107364i
$99$	0.272482	+	14.6914i	0.0273855	+	1.47654i
$100$	−0.671922	+	1.71203i	−0.0671922	+	0.171203i
$101$	−0.376610	+	5.02552i	−0.0374741	+	0.500058i	0.946613	+	0.322372i	$0.104480\pi$
$101$	−0.376610	+	5.02552i	−0.0374741	+	0.500058i	−0.984087	+	0.177686i	$0.943139\pi$
$102$	1.53980	−	1.69068i	0.152463	−	0.167403i
$103$	−3.78322	+	5.54896i	−0.372772	+	0.546755i	−0.966088	−	0.258214i	$-0.916866\pi$
$103$	−3.78322	+	5.54896i	−0.372772	+	0.546755i	0.593316	+	0.804970i	$0.297818\pi$
$104$	−1.32987	−	0.640432i	−0.130405	−	0.0627995i
$105$	−9.10877	−	1.44031i	−0.888925	−	0.140560i
$106$	1.99322	−	0.959883i	0.193598	−	0.0932321i
$107$	1.01145	−	6.71052i	0.0977803	−	0.648730i	−0.885226	−	0.465160i	$-0.845997\pi$
$107$	1.01145	−	6.71052i	0.0977803	−	0.648730i	0.983007	−	0.183570i	$-0.0587653\pi$
$108$	8.14837	−	5.89400i	0.784077	−	0.567150i
$109$	−5.71808	+	0.861862i	−0.547693	+	0.0825514i	−0.417059	−	0.908879i	$-0.636939\pi$
$109$	−5.71808	+	0.861862i	−0.547693	+	0.0825514i	−0.130633	+	0.991431i	$0.541701\pi$
$110$	−1.83656	+	1.70407i	−0.175109	+	0.162477i
$111$	−3.32664	−	4.09303i	−0.315750	−	0.388493i
$112$	−7.99367	+	5.25894i	−0.755330	+	0.496923i
$113$	10.9985	+	8.77101i	1.03465	+	0.825107i	0.984807	−	0.173650i	$-0.0555562\pi$
$113$	10.9985	+	8.77101i	1.03465	+	0.825107i	0.0498439	+	0.998757i	$0.484128\pi$
$114$	−0.276190	−	3.27741i	−0.0258676	−	0.306957i
$115$	2.48655	−	8.06120i	0.231872	−	0.751711i
$116$	9.23959	+	5.33448i	0.857874	+	0.495294i
$117$	−3.79204	+	2.28413i	−0.350575	+	0.211168i
$118$	−0.633395	+	0.144568i	−0.0583088	+	0.0133086i
$119$	2.83661	+	13.4468i	0.260031	+	1.23267i
$120$	3.40622	+	0.744288i	0.310944	+	0.0679439i
$121$	−12.4131	+	3.82893i	−1.12846	+	0.348085i
$122$	0.0954026	+	0.243082i	0.00863734	+	0.0220076i
$123$	−3.70446	−	9.18739i	−0.334020	−	0.828399i
$124$	−0.418619	−	1.35713i	−0.0375931	−	0.121874i
$125$	−2.66453	+	11.6741i	−0.238323	+	1.04416i
$126$	−0.00412978	−	2.01748i	−0.000367910	−	0.179731i
$127$	0.0150211	+	0.0658118i	0.00133291	+	0.00583985i	0.975590	−	0.219600i	$-0.0704752\pi$
$127$	0.0150211	+	0.0658118i	0.00133291	+	0.00583985i	−0.974257	+	0.225440i	$0.927618\pi$
$128$	6.48612	−	3.74476i	0.573297	−	0.330993i
$129$	−3.75702	+	6.64897i	−0.330787	+	0.585409i
$130$	−0.721253	−	0.222477i	−0.0632581	−	0.0195125i
$131$	0.398437	+	5.31677i	0.0348116	+	0.464529i	0.987183	+	0.159590i	$0.0510171\pi$
$131$	0.398437	+	5.31677i	0.0348116	+	0.464529i	−0.952372	+	0.304939i	$0.901364\pi$
$132$	12.9313	+	10.1176i	1.12552	+	0.880625i
$133$	16.9524	+	10.1640i	1.46996	+	0.881329i
$134$	−1.28324	+	1.02335i	−0.110855	+	0.0884040i
$135$	7.46451	−	7.32281i	0.642443	−	0.630247i
$136$	−0.774395	−	5.13778i	−0.0664039	−	0.440561i
$137$	−5.12954	−	7.52365i	−0.438246	−	0.642789i	0.542044	−	0.840350i	$-0.317650\pi$
$137$	−5.12954	−	7.52365i	−0.438246	−	0.642789i	−0.980291	+	0.197561i	$0.936698\pi$
$138$	1.82740	+	0.258130i	0.155559	+	0.0219735i
$139$	0.377372	+	0.783621i	0.0320083	+	0.0664659i	0.916360	−	0.400356i	$-0.131113\pi$
$139$	0.377372	+	0.783621i	0.0320083	+	0.0664659i	−0.884352	+	0.466821i	$0.845399\pi$
$140$	−7.66840	+	6.88333i	−0.648098	+	0.581748i
$141$	14.8070	+	6.96230i	1.24698	+	0.586332i
$142$	−1.87385	−	1.27757i	−0.157250	−	0.107211i
$143$	−5.29814	−	4.91596i	−0.443053	−	0.411093i
$144$	0.610022	−	10.8324i	0.0508351	−	0.902703i
$145$	10.3266	+	4.05288i	0.857575	+	0.336573i
$146$	2.81678			0.233118
$147$	9.85278	+	7.06560i	0.812644	+	0.582761i
$148$	−5.89363			−0.484453
$149$	8.90053	+	3.49320i	0.729160	+	0.286174i	0.700735	−	0.713422i	$-0.252856\pi$
$149$	8.90053	+	3.49320i	0.729160	+	0.286174i	0.0284250	+	0.999596i	$0.490951\pi$
$150$	−0.417463	−	0.0273945i	−0.0340857	−	0.00223675i
$151$	−0.145112	−	0.134644i	−0.0118091	−	0.0109572i	0.674246	−	0.738507i	$-0.264469\pi$
$151$	−0.145112	−	0.134644i	−0.0118091	−	0.0109572i	−0.686055	+	0.727549i	$0.740659\pi$
$152$	−6.17448	−	4.20969i	−0.500816	−	0.341451i
$153$	−14.1626	−	6.49963i	−1.14498	−	0.525464i
$154$	3.16312	−	0.918826i	0.254891	−	0.0740411i
$155$	−0.640729	−	1.33049i	−0.0514646	−	0.106867i
$156$	−0.691858	+	4.89792i	−0.0553930	+	0.392147i
$157$	−2.65808	−	3.89869i	−0.212138	−	0.311150i	0.705391	−	0.708819i	$-0.250772\pi$
$157$	−2.65808	−	3.89869i	−0.212138	−	0.311150i	−0.917529	+	0.397669i	$0.869819\pi$
$158$	0.351816	+	2.33414i	0.0279889	+	0.185694i
$159$	−10.3558	−	10.9554i	−0.821271	−	0.868822i
$160$	4.59393	−	3.66353i	0.363182	−	0.289628i
$161$	−7.67692	+	8.00475i	−0.605026	+	0.630863i
$162$	1.84019	+	1.35900i	0.144579	+	0.106773i
$163$	0.907268	+	12.1067i	0.0710627	+	0.948266i	0.912807	+	0.408390i	$0.133910\pi$
$163$	0.907268	+	12.1067i	0.0710627	+	0.948266i	−0.841745	+	0.539876i	$0.818471\pi$
$164$	−10.5773	−	3.26267i	−0.825951	−	0.254772i
$165$	14.8635	+	8.39866i	1.15712	+	0.653835i
$166$	−0.491742	+	0.283908i	−0.0381666	+	0.0220355i
$167$	0.382092	+	1.67405i	0.0295672	+	0.129542i	0.987558	−	0.157258i	$-0.0502655\pi$
$167$	0.382092	+	1.67405i	0.0295672	+	0.129542i	−0.957990	+	0.286800i	$0.907408\pi$
$168$	−3.56311	−	2.88385i	−0.274900	−	0.222494i
$169$	−2.40825	+	10.5512i	−0.185250	+	0.811633i
$170$	−0.783140	−	2.53888i	−0.0600641	−	0.194723i
$171$	−20.7077	+	8.57363i	−1.58355	+	0.655642i
$172$	3.11767	+	7.94370i	0.237720	+	0.605702i
$173$	16.4920	−	5.08711i	1.25386	−	0.386766i	0.404482	−	0.914546i	$-0.367452\pi$
$173$	16.4920	−	5.08711i	1.25386	−	0.386766i	0.849381	+	0.527780i	$0.176976\pi$
$174$	−0.518075	+	2.37096i	−0.0392752	+	0.179742i
$175$	1.59979	−	1.93955i	0.120933	−	0.146617i
$176$	17.2696	−	3.94167i	1.30174	−	0.297115i
$177$	2.24903	+	3.81333i	0.169047	+	0.286627i
$178$	0.980845	+	0.566291i	0.0735175	+	0.0424453i
$179$	−6.34991	+	20.5859i	−0.474615	+	1.53866i	0.329481	+	0.944162i	$0.393126\pi$
$179$	−6.34991	+	20.5859i	−0.474615	+	1.53866i	−0.804095	+	0.594500i	$0.797350\pi$
$180$	−1.08909	−	11.6334i	−0.0811756	−	0.867105i
$181$	−6.36583	−	5.07658i	−0.473168	−	0.377339i	0.357674	−	0.933846i	$-0.383570\pi$
$181$	−6.36583	−	5.07658i	−0.473168	−	0.377339i	−0.830843	+	0.556507i	$0.812141\pi$
$182$	0.716203	+	0.686871i	0.0530885	+	0.0509143i
$183$	1.38087	−	1.12231i	0.102077	−	0.0829638i
$184$	3.07387	−	2.85214i	0.226609	−	0.210262i
$185$	−6.05966	+	0.913346i	−0.445515	+	0.0671506i
$186$	0.265229	−	0.184456i	0.0194476	−	0.0135250i
$187$	3.79186	−	25.1573i	0.277288	−	1.83969i
$188$	16.4725	−	7.93275i	1.20138	−	0.578555i
$189$	−13.0902	+	4.20065i	−0.952175	+	0.305553i
$190$	−3.44293	−	1.65803i	−0.249777	−	0.120286i
$191$	11.8416	−	17.3684i	0.856825	−	1.25673i	−0.108083	−	0.994142i	$-0.534471\pi$
$191$	11.8416	−	17.3684i	0.856825	−	1.25673i	0.964908	−	0.262589i	$-0.0845765\pi$
$192$	−8.31194	−	7.57015i	−0.599863	−	0.546328i
$193$	−0.314637	+	4.19854i	−0.0226481	+	0.302218i	0.974364	+	0.224976i	$0.0722304\pi$
$193$	−0.314637	+	4.19854i	−0.0226481	+	0.302218i	−0.997012	+	0.0772417i	$0.975389\pi$
$194$	1.27831	−	3.25708i	0.0917772	−	0.233845i
$195$	0.0476906	+	5.14312i	0.00341520	+	0.368306i
$196$	13.0706	−	3.56401i	0.933611	−	0.254572i
$197$			7.77780i			0.554145i	0.960849	+	0.277073i	$0.0893643\pi$
$197$			7.77780i			0.554145i	−0.960849	+	0.277073i	$0.910636\pi$
$198$	−1.29980	+	3.50142i	−0.0923730	+	0.248835i
$199$	−10.1242	−	0.758701i	−0.717683	−	0.0537829i	−0.289118	−	0.957294i	$-0.593362\pi$
$199$	−10.1242	−	0.758701i	−0.717683	−	0.0537829i	−0.428566	+	0.903511i	$0.640981\pi$
$200$	−0.646544	+	0.696809i	−0.0457176	+	0.0492718i
$201$	9.29908	+	6.21449i	0.655906	+	0.438336i
$202$	−0.555789	+	1.15411i	−0.0391052	+	0.0812027i
$203$	−9.74248	−	10.8536i	−0.683788	−	0.761777i
$204$	−15.6172	+	7.70004i	−1.09342	+	0.539111i
$205$	−11.3809	−	1.71540i	−0.794878	−	0.119809i
$206$	−1.41043	+	0.961615i	−0.0982693	+	0.0669989i
$207$	−2.10465	−	12.3987i	−0.146283	−	0.861769i
$208$	3.62981	+	3.91200i	0.251682	+	0.271248i
$209$	−22.8146	−	28.6086i	−1.57812	−	1.97890i
$210$	−2.02146	−	1.18665i	−0.139494	−	0.0818865i
$211$	−2.17511	+	2.72750i	−0.149741	+	0.187769i	−0.851045	−	0.525094i	$-0.824030\pi$
$211$	−2.17511	+	2.72750i	−0.149741	+	0.187769i	0.701304	+	0.712863i	$0.252602\pi$
$212$	−16.7980	+	1.25884i	−1.15369	+	0.0864574i
$213$	−4.41812	+	14.8093i	−0.302724	+	1.01472i
$214$	0.862469	−	1.49384i	0.0589572	−	0.102117i
$215$	4.43655	+	7.68433i	0.302570	+	0.524067i
$216$	5.03324	−	1.29709i	0.342468	−	0.0882557i
$217$	−0.0320292	+	1.94124i	−0.00217429	+	0.131780i
$218$	−1.43298	−	0.327068i	−0.0970537	−	0.0221519i
$219$	−5.82746	−	18.2884i	−0.393783	−	1.23581i
$220$	17.7578	−	6.96943i	1.19723	−	0.469879i
$221$	7.13490	−	2.80024i	0.479946	−	0.188365i
$222$	−0.407024	−	1.27736i	−0.0273176	−	0.0857311i
$223$	13.2540	+	3.02515i	0.887555	+	0.202579i	0.641909	−	0.766781i	$-0.278143\pi$
$223$	13.2540	+	3.02515i	0.887555	+	0.202579i	0.245646	+	0.969360i	$0.421000\pi$
$224$	−7.55881	+	1.59453i	−0.505044	+	0.106539i
$225$	0.685802	+	2.76712i	0.0457201	+	0.184475i
$226$	1.78784	+	3.09664i	0.118926	+	0.205985i
$227$	−5.04141	+	8.73198i	−0.334610	+	0.579562i	−0.983410	−	0.181397i	$-0.941938\pi$
$227$	−5.04141	+	8.73198i	−0.334610	+	0.579562i	0.648800	+	0.760959i	$0.275271\pi$
$228$	−7.15951	+	23.9984i	−0.474150	+	1.58933i
$229$	4.89729	−	0.367001i	0.323622	−	0.0242521i	0.0880712	−	0.996114i	$-0.471930\pi$
$229$	4.89729	−	0.367001i	0.323622	−	0.0242521i	0.235551	+	0.971862i	$0.424311\pi$
$230$	1.33692	−	1.67644i	0.0881538	−	0.110541i
$231$	−12.5096	−	18.6361i	−0.823071	−	1.22617i
$232$	3.43803	+	4.31115i	0.225718	+	0.283041i
$233$	−9.86637	−	10.6334i	−0.646367	−	0.696618i	0.321832	−	0.946797i	$-0.395701\pi$
$233$	−9.86637	−	10.6334i	−0.646367	−	0.696618i	−0.968200	+	0.250178i	$0.919511\pi$
$234$	−1.10934	+	0.188307i	−0.0725198	+	0.0123100i
$235$	15.7072	−	10.7090i	1.02463	−	0.698579i
$236$	4.89163	+	0.737295i	0.318418	+	0.0479938i
$237$	14.4269	−	7.11318i	0.937130	−	0.462051i
$238$	−0.577535	+	3.44505i	−0.0374361	+	0.223310i
$239$	1.66425	−	3.45585i	0.107651	−	0.223540i	−0.840184	−	0.542302i	$-0.817553\pi$
$239$	1.66425	−	3.45585i	0.107651	−	0.223540i	0.947835	+	0.318762i	$0.103267\pi$
$240$	−10.4807	−	7.00414i	−0.676525	−	0.452115i
$241$	6.98757	−	7.53081i	0.450109	−	0.485102i	−0.466707	−	0.884412i	$-0.654560\pi$
$241$	6.98757	−	7.53081i	0.450109	−	0.485102i	0.916816	+	0.399310i	$0.130750\pi$
$242$	−3.29261	−	0.246747i	−0.211657	−	0.0158615i
$243$	5.01647	−	14.7592i	0.321807	−	0.946805i
$244$		−	1.98834i		−	0.127291i
$245$	12.8864	−	5.68998i	0.823285	−	0.363520i
$246$	−0.0233470	−	2.51782i	−0.00148855	−	0.160530i
$247$	4.02751	−	10.2619i	0.256265	−	0.652951i
$248$	0.0548545	−	0.731982i	0.00348326	−	0.0464809i
$249$	2.86065	+	2.60535i	0.181286	+	0.165108i
$250$	−1.71453	+	2.51475i	−0.108436	+	0.159047i
$251$	−24.7086	−	11.8991i	−1.55960	−	0.751062i	−0.562469	−	0.826818i	$-0.690149\pi$
$251$	−24.7086	−	11.8991i	−1.55960	−	0.751062i	−0.997126	+	0.0757563i	$0.975863\pi$
$252$	−5.58298	+	14.3113i	−0.351695	+	0.901525i
$253$	18.4991	−	8.90869i	1.16303	−	0.560084i
$254$	−0.00255729	+	0.0169665i	−0.000160459	+	0.00106457i
$255$	−14.8638	+	10.3372i	−0.930810	+	0.647339i
$256$	−10.9544	+	1.65111i	−0.684650	+	0.103194i
$257$	12.5528	−	11.6473i	0.783021	−	0.726537i	−0.183529	−	0.983014i	$-0.558752\pi$
$257$	12.5528	−	11.6473i	0.783021	−	0.726537i	0.966550	+	0.256477i	$0.0825618\pi$
$258$	−1.50638	+	1.22432i	−0.0937831	+	0.0762228i
$259$	7.65863	+	2.50147i	0.475884	+	0.155434i
$260$	4.49331	+	3.58330i	0.278663	+	0.222227i
$261$	16.4657	−	1.54146i	1.01920	−	0.0954141i
$262$	−0.399453	+	1.29499i	−0.0246783	+	0.0800050i
$263$	20.6113	+	11.9000i	1.27095	+	0.733783i	0.975167	−	0.221472i	$-0.0710862\pi$
$263$	20.6113	+	11.9000i	1.27095	+	0.733783i	0.295783	+	0.955255i	$0.404419\pi$
$264$	4.31099	+	7.30948i	0.265323	+	0.449867i
$265$	−17.0762	+	3.89752i	−1.04898	+	0.239423i
$266$	3.06723	+	3.97912i	0.188064	+	0.243975i
$267$	1.64752	−	7.53985i	0.100827	−	0.461432i
$268$	11.9423	−	3.68372i	0.729493	−	0.225019i
$269$	−0.160067	−	0.407843i	−0.00975944	−	0.0248667i	0.925911	−	0.377742i	$-0.123299\pi$
$269$	−0.160067	−	0.407843i	−0.00975944	−	0.0248667i	−0.935670	+	0.352875i	$0.885204\pi$
$270$	2.44618	−	1.03947i	0.148870	−	0.0632601i
$271$	6.76413	+	21.9288i	0.410891	+	1.33208i	0.890655	+	0.454680i	$0.150246\pi$
$271$	6.76413	+	21.9288i	0.410891	+	1.33208i	−0.479764	+	0.877398i	$0.659278\pi$
$272$	−4.18012	+	18.3143i	−0.253457	+	1.11047i
$273$	2.97791	−	6.07108i	0.180231	−	0.367439i
$274$	−0.515031	−	2.25650i	−0.0311142	−	0.136320i
$275$	−4.03087	+	2.32722i	−0.243071	+	0.140337i
$276$	−12.2344	−	6.91310i	−0.736426	−	0.416120i
$277$	−29.6231	−	9.13750i	−1.77988	−	0.549019i	−0.782583	−	0.622546i	$-0.786098\pi$
$277$	−29.6231	−	9.13750i	−1.77988	−	0.549019i	−0.997293	+	0.0735266i	$0.976575\pi$
$278$	0.0165208	+	0.220455i	0.000990853	+	0.0132220i
$279$	−1.74632	−	1.34043i	−0.104550	−	0.0802496i
$280$	−4.98912	+	1.86370i	−0.298157	+	0.111377i
$281$	−21.9182	+	17.4791i	−1.30753	+	1.04272i	−0.311822	+	0.950141i	$0.600939\pi$
$281$	−21.9182	+	17.4791i	−1.30753	+	1.04272i	−0.995705	+	0.0925776i	$0.970489\pi$
$282$	2.85694	+	3.02235i	0.170128	+	0.179978i
$283$	−0.874548	−	5.80225i	−0.0519865	−	0.344908i	−0.999670	−	0.0256958i	$-0.991820\pi$
$283$	−0.874548	−	5.80225i	−0.0519865	−	0.344908i	0.947683	−	0.319212i	$-0.103418\pi$
$284$	9.72779	+	14.2680i	0.577238	+	0.846652i
$285$	−3.64213	+	25.7840i	−0.215741	+	1.52731i
$286$	−0.797080	−	1.65515i	−0.0471323	−	0.0978713i
$287$	12.3602	+	8.72917i	0.729599	+	0.515267i
$288$	3.65360	−	7.96116i	0.215291	−	0.469116i
$289$	8.24633	+	5.62225i	0.485078	+	0.330721i
$290$	2.06700	+	1.91789i	0.121378	+	0.112622i
$291$	−23.7917	−	1.56124i	−1.39469	−	0.0915216i
$292$	−19.9652	−	7.83575i	−1.16837	−	0.458553i
$293$	13.5593			0.792141			0.396070	−	0.918220i	$-0.370374\pi$
$293$	13.5593			0.792141			0.396070	+	0.918220i	$0.370374\pi$
$294$	1.67513	+	2.58673i	0.0976954	+	0.150861i
$295$	5.14370			0.299478
$296$	−2.83552	−	1.11286i	−0.164811	−	0.0646835i
$297$	25.4226	+	1.19530i	1.47517	+	0.0693581i
$298$	1.78156	+	1.65304i	0.103203	+	0.0957582i
$299$	5.11094	+	3.48458i	0.295573	+	0.201518i
$300$	2.88275	+	1.35548i	0.166436	+	0.0782584i
$301$	−0.679749	−	11.6459i	−0.0391801	−	0.671259i
$302$	−0.0218314	−	0.0453334i	−0.00125626	−	0.00260865i
$303$	8.64305	+	1.22088i	0.496531	+	0.0701377i
$304$	15.2200	+	22.3236i	0.872926	+	1.28035i
$305$	−0.308137	−	2.04436i	−0.0176439	−	0.117059i
$306$	−2.74743	−	2.85304i	−0.157060	−	0.163097i
$307$	−6.92970	+	5.52625i	−0.395499	+	0.315400i	−0.800966	−	0.598710i	$-0.795680\pi$
$307$	−6.92970	+	5.52625i	−0.395499	+	0.315400i	0.405467	+	0.914110i	$0.367109\pi$
$308$	−24.9760	−	2.28661i	−1.42314	−	0.130292i
$309$	9.16138	+	7.16800i	0.521173	+	0.407773i
$310$	−0.0280502	−	0.374304i	−0.00159315	−	0.0212591i
$311$	0.178116	+	0.0549416i	0.0101001	+	0.00311545i	0.299801	−	0.954002i	$-0.403080\pi$
$311$	0.178116	+	0.0549416i	0.0101001	+	0.00311545i	−0.289701	+	0.957117i	$0.593556\pi$
$312$	−1.25771	+	2.22582i	−0.0712037	+	0.126013i
$313$	6.78741	−	3.91871i	0.383647	−	0.221499i	−0.295757	−	0.955263i	$-0.595572\pi$
$313$	6.78741	−	3.91871i	0.383647	−	0.221499i	0.679404	+	0.733764i	$0.262238\pi$
$314$	−0.266885	−	1.16930i	−0.0150612	−	0.0659874i
$315$	−3.52241	+	15.5796i	−0.198465	+	0.877813i
$316$	3.99950	−	17.5230i	0.224990	−	0.985744i
$317$	2.81273	+	9.11864i	0.157979	+	0.512154i	0.999611	−	0.0278971i	$-0.00888109\pi$
$317$	2.81273	+	9.11864i	0.157979	+	0.512154i	−0.841632	+	0.540051i	$0.818405\pi$
$318$	−1.43294	−	3.55381i	−0.0803551	−	0.199288i
$319$	9.86434	+	25.1339i	0.552297	+	1.40723i
$320$	−12.4819	+	3.85016i	−0.697761	+	0.215231i
$321$	−11.4833	−	2.50920i	−0.640935	−	0.140050i
$322$	−2.55976	+	1.18110i	−0.142650	+	0.0658200i
$323$	37.8325	−	8.63501i	2.10506	−	0.480465i
$324$	−9.26265	−	14.7516i	−0.514591	−	0.819532i
$325$	−1.21438	−	0.701121i	−0.0673615	−	0.0388912i
$326$	−0.909581	+	2.94879i	−0.0503770	+	0.163318i
$327$	0.841065	+	9.98049i	0.0465110	+	0.551923i
$328$	−4.47285	−	3.56698i	−0.246972	−	0.196953i
$329$	−24.7726	+	3.31689i	−1.36576	+	0.182866i
$330$	2.73692	+	3.36745i	0.150662	+	0.185372i
$331$	−17.2170	+	15.9751i	−0.946333	+	0.878069i	−0.992670	−	0.120857i	$-0.961436\pi$
$331$	−17.2170	+	15.9751i	−0.946333	+	0.878069i	0.0463370	+	0.998926i	$0.485245\pi$
$332$	4.27522	−	0.644386i	0.234633	−	0.0353653i
$333$	−7.45142	+	5.28533i	−0.408335	+	0.289634i
$334$	−0.0650498	+	0.431577i	−0.00355937	+	0.0236149i
$335$	11.7079	−	5.63821i	0.639669	−	0.308048i
$336$	8.18260	+	14.4122i	0.446397	+	0.786248i
$337$	−26.1989	−	12.6167i	−1.42714	−	0.687277i	−0.448680	−	0.893692i	$-0.648106\pi$
$337$	−26.1989	−	12.6167i	−1.42714	−	0.687277i	−0.978464	+	0.206416i	$0.933820\pi$
$338$	−1.54962	+	2.27288i	−0.0842883	+	0.123628i
$339$	16.4066	−	18.0143i	0.891086	−	0.978402i
$340$	−1.51183	+	20.1740i	−0.0819905	+	1.09409i
$341$	1.31312	−	3.34577i	0.0711094	−	0.181184i
$342$	−5.69578	+	0.105640i	−0.307992	+	0.00571234i
$343$	−18.4976	−	0.916261i	−0.998775	−	0.0494735i
$344$			4.41053i			0.237800i
$345$	−13.6504	−	5.21185i	−0.734914	−	0.280597i
$346$	4.37455	+	0.327827i	0.235177	+	0.0176241i
$347$	16.4511	−	17.7301i	0.883142	−	0.951801i	−0.115998	−	0.993249i	$-0.537007\pi$
$347$	16.4511	−	17.7301i	0.883142	−	0.951801i	0.999141	+	0.0414484i	$0.0131972\pi$
$348$	10.2677	−	15.3641i	0.550405	−	0.823601i
$349$	4.42537	−	9.18938i	0.236885	−	0.491896i	−0.748307	−	0.663353i	$-0.769133\pi$
$349$	4.42537	−	9.18938i	0.236885	−	0.491896i	0.985192	+	0.171456i	$0.0548473\pi$
$350$	0.558636	−	0.310355i	0.0298603	−	0.0165892i
$351$	3.51766	+	6.81297i	0.187759	+	0.363650i
$352$	14.1416	+	2.13150i	0.753748	+	0.113609i
$353$	−0.387659	+	0.264301i	−0.0206330	+	0.0140673i	−0.573593	−	0.819141i	$-0.694451\pi$
$353$	−0.387659	+	0.264301i	−0.0206330	+	0.0140673i	0.552960	+	0.833208i	$0.313498\pi$
$354$	0.178025	+	1.11111i	0.00946195	+	0.0590551i
$355$	12.2130	+	13.1625i	0.648197	+	0.698590i
$356$	−5.37686	−	6.74237i	−0.284973	−	0.357345i
$357$	23.5623	−	3.37752i	1.24705	−	0.178757i
$358$	−3.41409	+	4.28114i	−0.180440	+	0.226265i
$359$	28.9343	−	2.16833i	1.52710	−	0.114440i	0.715481	−	0.698632i	$-0.246208\pi$
$359$	28.9343	−	2.16833i	1.52710	−	0.114440i	0.811615	+	0.584192i	$0.198589\pi$
$360$	1.67270	−	5.80267i	0.0881588	−	0.305828i
$361$	18.4064	−	31.8808i	0.968756	−	1.67794i
$362$	−1.03479	−	1.79231i	−0.0543873	−	0.0942015i
$363$	5.20984	+	21.8882i	0.273446	+	1.14883i
$364$	−3.16566	−	6.86085i	−0.165926	−	0.359606i
$365$	−21.7419	−	4.96245i	−1.13802	−	0.259747i
$366$	0.430947	−	0.137318i	0.0225259	−	0.00717774i
$367$	−14.7979	+	5.80774i	−0.772443	+	0.303161i	−0.718633	−	0.695390i	$-0.755232\pi$
$367$	−14.7979	+	5.80774i	−0.772443	+	0.303161i	−0.0538099	+	0.998551i	$0.517136\pi$
$368$	−14.1126	+	5.53878i	−0.735669	+	0.288729i
$369$	−16.2990	+	5.36055i	−0.848493	+	0.279059i
$370$	−1.51858	−	0.346606i	−0.0789473	−	0.0180192i
$371$	22.3630	+	5.49386i	1.16103	+	0.285227i
$372$	−2.39305	+	0.569594i	−0.124074	+	0.0295321i
$373$	−10.0880	−	17.4729i	−0.522335	−	0.904711i	−0.999662	−	0.0259856i	$-0.991728\pi$
$373$	−10.0880	−	17.4729i	−0.522335	−	0.904711i	0.477327	−	0.878726i	$-0.341606\pi$
$374$	3.23335	−	5.60032i	0.167192	−	0.289586i
$375$	19.8745	+	5.92922i	1.02631	+	0.306184i
$376$	9.42308	−	0.706163i	0.485958	−	0.0364176i
$377$	−5.07170	+	6.35971i	−0.261206	+	0.327542i
$378$	−3.48735	−	0.221676i	−0.179370	−	0.0114018i
$379$	−2.16510	−	2.71495i	−0.111214	−	0.139458i	0.723109	−	0.690734i	$-0.242712\pi$
$379$	−2.16510	−	2.71495i	−0.111214	−	0.139458i	−0.834323	+	0.551276i	$0.814141\pi$
$380$	19.7910	+	21.3296i	1.01526	+	1.09419i
$381$	0.115448	−	0.0184974i	0.00591460	−	0.000947651i
$382$	4.41468	−	3.00987i	0.225874	−	0.153999i
$383$	−19.6368	−	2.95977i	−1.00339	−	0.151237i	−0.373262	−	0.927726i	$-0.621761\pi$
$383$	−19.6368	−	2.95977i	−1.00339	−	0.151237i	−0.630131	+	0.776489i	$0.716999\pi$
$384$	−5.73657	−	11.6349i	−0.292743	−	0.593740i
$385$	−26.0340	+	1.51955i	−1.32681	+	0.0774435i
$386$	−0.464331	+	0.964193i	−0.0236338	+	0.0490762i
$387$	11.0655	+	7.24748i	0.562493	+	0.368410i
$388$	−18.1212	+	19.5300i	−0.919963	+	0.991484i
$389$	−15.4459	−	1.15751i	−0.783138	−	0.0586880i	−0.322841	−	0.946453i	$-0.604638\pi$
$389$	−15.4459	−	1.15751i	−0.783138	−	0.0586880i	−0.460297	+	0.887765i	$0.652257\pi$
$390$	−0.466316	+	1.22133i	−0.0236128	+	0.0618446i
$391$			21.7745i			1.10119i
$392$	6.96142	+	0.753330i	0.351605	+	0.0380489i
$393$	9.23435	−	0.0856274i	0.465811	−	0.00431933i
$394$	−0.722262	+	1.84029i	−0.0363871	+	0.0927127i
$395$	1.39661	−	18.6364i	0.0702709	−	0.937700i
$396$	18.9532	−	21.2020i	0.952435	−	1.06544i
$397$	−0.762325	+	1.11812i	−0.0382600	+	0.0561171i	−0.844892	−	0.534937i	$-0.820335\pi$
$397$	−0.762325	+	1.11812i	−0.0382600	+	0.0561171i	0.806632	+	0.591054i	$0.201288\pi$
$398$	−2.32501	−	1.11967i	−0.116542	−	0.0561238i
$399$	19.4894	−	28.1466i	0.975691	−	1.40909i
$400$	3.09637	−	1.49113i	0.154819	−	0.0745567i
$401$	0.532544	−	3.53320i	0.0265940	−	0.176440i	−0.971591	−	0.236668i	$-0.923945\pi$
$401$	0.532544	−	3.53320i	0.0265940	−	0.176440i	0.998185	+	0.0602281i	$0.0191828\pi$
$402$	1.62315	+	2.33393i	0.0809555	+	0.116406i
$403$	1.07074	−	0.161388i	0.0533372	−	0.00803928i
$404$	7.14991	−	6.63415i	0.355721	−	0.330061i
$405$	−11.8097	−	13.7317i	−0.586827	−	0.682333i
$406$	−1.29726	−	3.47277i	−0.0643821	−	0.172351i
$407$	−11.6612	−	9.29951i	−0.578025	−	0.460959i
$408$	−8.96762	+	0.755710i	−0.443963	+	0.0374132i
$409$	−1.19553	+	3.87580i	−0.0591150	+	0.191646i	−0.980314	−	0.197446i	$-0.936735\pi$
$409$	−1.19553	+	3.87580i	−0.0591150	+	0.191646i	0.921199	+	0.389092i	$0.127211\pi$
$410$	−2.53353	−	1.46273i	−0.125122	−	0.0722393i
$411$	−13.5852	+	8.01226i	−0.670106	+	0.395215i
$412$	12.6721	−	2.89232i	0.624308	−	0.142494i
$413$	−6.04363	−	3.03428i	−0.297388	−	0.149307i
$414$	0.653391	−	3.12908i	0.0321124	−	0.153786i
$415$	4.29580	−	1.32508i	0.210872	−	0.0650455i
$416$	1.57409	+	4.01071i	0.0771759	+	0.196641i
$417$	1.39716	−	0.563350i	0.0684192	−	0.0275874i
$418$	−2.74148	−	8.88766i	−0.134090	−	0.434709i
$419$	−7.22091	+	31.6369i	−0.352765	+	1.54556i	0.418003	+	0.908446i	$0.362730\pi$
$419$	−7.22091	+	31.6369i	−0.352765	+	1.54556i	−0.770767	+	0.637117i	$0.780127\pi$
$420$	11.0270	+	14.0342i	0.538061	+	0.684800i
$421$	2.72753	+	11.9501i	0.132932	+	0.582411i	0.996887	+	0.0788429i	$0.0251225\pi$
$421$	2.72753	+	11.9501i	0.132932	+	0.582411i	−0.863956	+	0.503568i	$0.832020\pi$
$422$	−0.767932	+	0.443366i	−0.0373823	+	0.0215827i
$423$	13.7125	−	24.8019i	0.666726	−	1.20591i
$424$	−8.31950	−	2.56622i	−0.404030	−	0.124627i
$425$	−0.368869	−	4.92221i	−0.0178928	−	0.238762i
$426$	−2.42059	+	3.09374i	−0.117278	+	0.149892i
$427$	−0.843925	+	2.58381i	−0.0408404	+	0.125039i
$428$	−10.2687	+	8.18903i	−0.496357	+	0.395832i
$429$	−9.09731	+	8.59941i	−0.439222	+	0.415183i
$430$	0.336143	+	2.23017i	0.0162103	+	0.107548i
$431$	−20.4335	−	29.9705i	−0.984249	−	1.44363i	−0.894188	−	0.447692i	$-0.852246\pi$
$431$	−20.4335	−	29.9705i	−0.984249	−	1.44363i	−0.0900608	−	0.995936i	$-0.528706\pi$
$432$	−18.6529	−	2.28289i	−0.897437	−	0.109835i
$433$	9.66652	+	20.0727i	0.464543	+	0.964634i	0.993268	+	0.115840i	$0.0369561\pi$
$433$	9.66652	+	20.0727i	0.464543	+	0.964634i	−0.528725	+	0.848793i	$0.677330\pi$
$434$	−0.187846	+	0.456339i	−0.00901688	+	0.0219050i
$435$	8.17592	−	17.3881i	0.392005	−	0.833695i
$436$	9.24704	+	6.30453i	0.442853	+	0.301932i
$437$	22.9575	+	21.3015i	1.09821	+	1.01899i
$438$	0.319466	−	4.86833i	0.0152647	−	0.232618i
$439$	−34.4936	−	13.5377i	−1.64629	−	0.646121i	−0.652540	−	0.757754i	$-0.726297\pi$
$439$	−34.4936	−	13.5377i	−1.64629	−	0.646121i	−0.993750	+	0.111633i	$0.964392\pi$
$440$	9.85956			0.470036
$441$	13.3292	−	16.2275i	0.634722	−	0.772740i
$442$	1.94822			0.0926672
$443$	−20.2571	−	7.95033i	−0.962444	−	0.377732i	−0.168486	−	0.985704i	$-0.553888\pi$
$443$	−20.2571	−	7.95033i	−0.962444	−	0.377732i	−0.793958	+	0.607972i	$0.791983\pi$
$444$	−0.668429	+	10.1862i	−0.0317222	+	0.483413i
$445$	−6.57321	−	6.09905i	−0.311600	−	0.289123i
$446$	2.85510	+	1.94657i	0.135193	+	0.0921728i
$447$	7.04688	−	14.9869i	0.333306	−	0.708856i
$448$	16.9370	+	2.83935i	0.800197	+	0.134147i
$449$	−5.39233	−	11.1973i	−0.254480	−	0.528433i	0.734116	−	0.679024i	$-0.237597\pi$
$449$	−5.39233	−	11.1973i	−0.254480	−	0.528433i	−0.988596	+	0.150591i	$0.951882\pi$
$450$	−0.0946937	+	0.718409i	−0.00446390	+	0.0338661i
$451$	−15.7803	−	23.1455i	−0.743065	−	1.08988i
$452$	−4.05788	−	26.9222i	−0.190866	−	1.26632i
$453$	−0.249169	+	0.235532i	−0.0117070	+	0.0110662i
$454$	−2.00371	+	1.59791i	−0.0940388	+	0.0749935i
$455$	−4.31808	−	6.56354i	−0.202435	−	0.307703i
$456$	−7.97602	+	10.1941i	−0.373511	+	0.477383i
$457$	−2.33183	−	31.1161i	−0.109078	−	1.45555i	−0.736273	−	0.676685i	$-0.763416\pi$
$457$	−2.33183	−	31.1161i	−0.109078	−	1.45555i	0.627194	−	0.778863i	$-0.284203\pi$
$458$	1.19282	+	0.367936i	0.0557369	+	0.0171925i
$459$	−12.8398	+	23.7406i	−0.599310	+	1.10812i
$460$	−14.1396	+	8.16347i	−0.659260	+	0.380624i
$461$	−0.993565	−	4.35309i	−0.0462749	−	0.202744i	0.946506	−	0.322687i	$-0.104586\pi$
$461$	−0.993565	−	4.35309i	−0.0462749	−	0.202744i	−0.992781	+	0.119943i	$0.961729\pi$
$462$	−1.22929	−	5.57113i	−0.0571918	−	0.259192i
$463$	−6.11088	+	26.7735i	−0.283997	+	1.24427i	0.608622	+	0.793460i	$0.291723\pi$
$463$	−6.11088	+	26.7735i	−0.283997	+	1.24427i	−0.892619	+	0.450812i	$0.851135\pi$
$464$	−5.87633	−	19.0506i	−0.272802	−	0.884402i
$465$	−2.37220	+	0.956496i	−0.110008	+	0.0443564i
$466$	−1.34703	−	3.43217i	−0.0623998	−	0.158992i
$467$	−17.6881	+	5.45605i	−0.818507	+	0.252476i	−0.675608	−	0.737261i	$-0.736119\pi$
$467$	−17.6881	+	5.45605i	−0.818507	+	0.252476i	−0.142900	+	0.989737i	$0.545643\pi$
$468$	8.38677	+	1.75126i	0.387679	+	0.0809521i
$469$	−17.0823	−	0.281847i	−0.788786	−	0.0130145i
$470$	4.71092	−	1.07524i	0.217299	−	0.0495970i
$471$	−7.03971	+	4.15188i	−0.324373	+	0.191309i
$472$	2.21422	+	1.27838i	0.101918	+	0.0588423i
$473$	−6.36563	+	20.6369i	−0.292692	+	0.948884i
$474$	4.07408	−	0.343326i	0.187129	−	0.0157695i
$475$	−5.55049	−	4.42636i	−0.254674	−	0.203096i
$476$	13.6770	−	22.8117i	0.626886	−	1.04557i
$477$	−20.1091	+	16.6558i	−0.920735	+	0.762618i
$478$	0.714692	−	0.663137i	0.0326892	−	0.0303312i
$479$	0.967280	−	0.145794i	0.0441962	−	0.00666150i	−0.126907	−	0.991915i	$-0.540505\pi$
$479$	0.967280	−	0.145794i	0.0441962	−	0.00666150i	0.171103	+	0.985253i	$0.445267\pi$
$480$	−5.81079	−	8.35534i	−0.265225	−	0.381367i
$481$	0.669722	−	4.44332i	0.0305367	−	0.202598i
$482$	2.35265	−	1.13297i	0.107160	−	0.0516056i
$483$	12.9642	+	14.1761i	0.589891	+	0.645037i
$484$	22.6514	+	10.9083i	1.02961	+	0.495834i
$485$	−15.6051	+	22.8884i	−0.708589	+	1.03931i
$486$	2.55751	−	3.02632i	0.116011	−	0.137277i
$487$	1.76608	−	23.5667i	0.0800288	−	1.06791i	−0.802190	−	0.597069i	$-0.796332\pi$
$487$	1.76608	−	23.5667i	0.0800288	−	1.06791i	0.882218	−	0.470840i	$-0.156049\pi$
$488$	0.375447	−	0.956622i	0.0169957	−	0.0433043i
$489$	21.0272	−	0.194979i	0.950884	−	0.00881727i
$490$	3.57743	−	0.149638i	0.161612	−	0.00675996i
$491$		−	7.07565i		−	0.319320i	−0.987172	−	0.159660i	$-0.948960\pi$
$491$		−	7.07565i		−	0.319320i	0.987172	−	0.159660i	$-0.0510398\pi$
$492$	−6.83862	+	17.9111i	−0.308309	+	0.807495i
$493$	−28.5537	−	2.13980i	−1.28599	−	0.0963719i
$494$	1.90589	−	2.05406i	0.0857500	−	0.0924165i
$495$	16.2014	−	24.7365i	0.728200	−	1.11183i
$496$	−1.15147	+	2.39106i	−0.0517027	+	0.107362i
$497$	−6.58516	−	22.6698i	−0.295385	−	1.01688i
$498$	0.434916	+	0.882094i	0.0194890	+	0.0395276i
$499$	17.5984	+	2.65254i	0.787814	+	0.118744i	0.530613	−	0.847614i	$-0.321962\pi$
$499$	17.5984	+	2.65254i	0.787814	+	0.118744i	0.257201	+	0.966358i	$0.417200\pi$
$500$	19.1481	−	13.0549i	0.856327	−	0.583834i
$501$	2.93666	−	0.470519i	0.131200	−	0.0210212i
$502$	−4.74131	−	5.10991i	−0.211615	−	0.228067i
$503$	22.0147	+	27.6055i	0.981585	+	1.23087i	0.972976	+	0.230906i	$0.0741690\pi$
$503$	22.0147	+	27.6055i	0.981585	+	1.23087i	0.00860922	+	0.999963i	$0.497260\pi$
$504$	−5.38837	+	5.83117i	−0.240017	+	0.259741i
$505$	6.32323	−	7.92907i	0.281380	−	0.352839i
$506$	5.20432	−	0.390010i	0.231360	−	0.0173381i
$507$	17.9629	+	5.35893i	0.797761	+	0.237998i
$508$	0.0653236	−	0.113144i	0.00289827	−	0.00501994i
$509$	11.0652	+	19.1654i	0.490455	+	0.849493i	0.999940	−	0.0109866i	$-0.00349721\pi$
$509$	11.0652	+	19.1654i	0.490455	+	0.849493i	−0.509484	+	0.860480i	$0.670164\pi$
$510$	−4.47685	+	1.06558i	−0.198238	+	0.0471846i
$511$	22.6185	+	18.6563i	1.00058	+	0.825307i
$512$	−17.3487	−	3.95973i	−0.766712	−	0.174997i
$513$	12.4695	+	36.7621i	0.550543	+	1.62309i
$514$	4.05169	−	1.59017i	0.178712	−	0.0701394i
$515$	12.5808	−	4.93761i	0.554378	−	0.217577i
$516$	14.0830	−	4.48744i	0.619968	−	0.197549i
$517$	45.1098	+	10.2960i	1.98393	+	0.452818i
$518$	1.57981	+	1.30307i	0.0694127	+	0.0572534i
$519$	−6.92177	−	29.0806i	−0.303832	−	1.27650i
$520$	1.48519	+	2.57243i	0.0651299	+	0.112808i
$521$	−12.5909	+	21.8080i	−0.551617	+	0.955428i	0.446542	+	0.894763i	$0.352655\pi$
$521$	−12.5909	+	21.8080i	−0.551617	+	0.955428i	−0.998158	+	0.0606651i	$0.980678\pi$
$522$	4.03906	+	1.16431i	0.176785	+	0.0509605i
$523$	25.6399	−	1.92145i	1.12116	−	0.0840190i	0.498773	−	0.866732i	$-0.333784\pi$
$523$	25.6399	−	1.92145i	1.12116	−	0.0840190i	0.622382	+	0.782713i	$0.286165\pi$
$524$	6.43373	−	8.06764i	0.281059	−	0.352437i
$525$	−3.17075	−	2.98495i	−0.138383	−	0.130274i
$526$	3.77176	+	4.72964i	0.164457	+	0.206222i
$527$	2.59259	+	2.79414i	0.112935	+	0.121715i
$528$	−4.85388	−	30.2947i	−0.211238	−	1.31841i
$529$	4.48398	−	3.05712i	0.194955	−	0.132918i
$530$	−4.40230	−	0.663540i	−0.191224	−	0.0288223i
$531$	6.84577	−	3.45458i	0.297081	−	0.149916i
$532$	−10.6712	−	36.7362i	−0.462654	−	1.59272i
$533$	3.66175	−	7.60369i	0.158608	−	0.329353i
$534$	1.08998	−	1.63100i	0.0471682	−	0.0705804i
$535$	−9.28893	+	10.0111i	−0.401595	+	0.432817i
$536$	6.44121	+	0.482702i	0.278218	+	0.0208495i
$537$	34.8591	+	13.3095i	1.50428	+	0.574348i
$538$		−	0.111363i		−	0.00480122i
$539$	31.4852	+	13.5721i	1.35616	+	0.584592i
$540$	−20.2300	+	0.562889i	−0.870560	+	0.0242229i
$541$	−12.6860	+	32.3235i	−0.545415	+	1.38969i	0.346739	+	0.937962i	$0.387289\pi$
$541$	−12.6860	+	32.3235i	−0.545415	+	1.38969i	−0.892154	+	0.451732i	$0.850806\pi$
$542$	−0.435899	+	5.81666i	−0.0187234	+	0.249847i
$543$	−9.49601	+	10.4265i	−0.407513	+	0.447445i
$544$	−8.54356	+	12.5311i	−0.366302	+	0.537267i
$545$	10.4846	+	5.04910i	0.449109	+	0.216280i
$546$	1.26837	−	1.15994i	0.0542813	−	0.0496406i
$547$	−29.3017	+	14.1110i	−1.25285	+	0.603342i	−0.938275	−	0.345890i	$-0.887577\pi$
$547$	−29.3017	+	14.1110i	−1.25285	+	0.603342i	−0.314577	+	0.949232i	$0.601863\pi$
$548$	−2.62665	+	17.4267i	−0.112205	+	0.744430i
$549$	−1.78312	−	2.51390i	−0.0761017	−	0.107290i
$550$	−1.16985	+	0.176326i	−0.0498825	+	0.00751858i
$551$	−30.1894	+	28.0116i	−1.28611	+	1.19334i
$552$	−4.58082	−	5.63615i	−0.194973	−	0.239891i
$553$	−12.6346	+	21.0732i	−0.537280	+	0.896122i
$554$	−6.16054	−	4.91287i	−0.261736	−	0.208728i
$555$	0.891308	+	10.5767i	0.0378339	+	0.448956i
$556$	0.496166	−	1.60853i	0.0210421	−	0.0682169i
$557$	24.4242	+	14.1013i	1.03489	+	0.597492i	0.918381	−	0.395698i	$-0.129497\pi$
$557$	24.4242	+	14.1013i	1.03489	+	0.597492i	0.116505	+	0.993190i	$0.462831\pi$
$558$	−0.288720	−	0.479325i	−0.0122225	−	0.0202914i
$559$	−6.34318	+	1.44779i	−0.268288	+	0.0612350i
$560$	19.2528	+	0.317660i	0.813581	+	0.0134236i
$561$	−43.0502	−	9.40683i	−1.81758	−	0.397157i
$562$	−6.80917	+	2.10035i	−0.287228	+	0.0885980i
$563$	−5.35773	−	13.6513i	−0.225801	−	0.575333i	0.772409	−	0.635125i	$-0.219051\pi$
$563$	−5.35773	−	13.6513i	−0.225801	−	0.575333i	−0.998211	+	0.0597922i	$0.980956\pi$
$564$	−11.8422	−	29.3697i	−0.498647	−	1.23669i
$565$	−8.34438	−	27.0518i	−0.351051	−	1.13808i
$566$	0.331883	−	1.45407i	0.0139501	−	0.0611193i
$567$	5.77549	+	23.1007i	0.242548	+	0.970139i
$568$	1.98604	+	8.70141i	0.0833324	+	0.365103i
$569$	−25.7612	+	14.8732i	−1.07996	+	0.623518i	−0.930887	−	0.365308i	$-0.880964\pi$
$569$	−25.7612	+	14.8732i	−1.07996	+	0.623518i	−0.149078	+	0.988825i	$0.547631\pi$
$570$	−3.25611	+	5.76249i	−0.136383	+	0.241364i
$571$	10.9319	+	3.37204i	0.457485	+	0.141115i	0.514928	−	0.857233i	$-0.327819\pi$
$571$	10.9319	+	3.37204i	0.457485	+	0.141115i	−0.0574432	+	0.998349i	$0.518295\pi$
$572$	1.04533	+	13.9490i	0.0437075	+	0.583236i
$573$	−28.6753	−	22.4360i	−1.19793	−	0.937277i
$574$	2.11392	+	3.21319i	0.0882333	+	0.134116i
$575$	3.11449	−	2.48373i	0.129883	−	0.103579i
$576$	−14.0264	+	13.5072i	−0.584435	+	0.562801i
$577$	4.45903	+	29.5838i	0.185632	+	1.23159i	0.866498	+	0.499180i	$0.166365\pi$
$577$	4.45903	+	29.5838i	0.185632	+	1.23159i	−0.680866	+	0.732408i	$0.738397\pi$
$578$	1.42906	+	2.09604i	0.0594410	+	0.0871839i
$579$	7.22080	+	1.01998i	0.300086	+	0.0423889i
$580$	−9.31553	−	19.3439i	−0.386807	−	0.803212i
$581$	−5.82905	−	0.977194i	−0.241830	−	0.0405408i
$582$	−5.48434	−	2.57875i	−0.227333	−	0.106893i
$583$	−35.2231	−	24.0147i	−1.45879	−	0.994589i
$584$	−8.12598	−	7.53980i	−0.336255	−	0.311999i
$585$	8.89443	+	0.500884i	0.367739	+	0.0207090i
$586$	3.20824	+	1.25914i	0.132531	+	0.0520146i
$587$	2.16245			0.0892537			0.0446268	−	0.999004i	$-0.485790\pi$
$587$	2.16245			0.0892537			0.0446268	+	0.999004i	$0.485790\pi$
$588$	−4.67740	−	22.9945i	−0.192893	−	0.948277i
$589$	5.48221			0.225890
$590$	1.21704	+	0.477654i	0.0501048	+	0.0196647i
$591$	13.4426	+	0.882124i	0.552956	+	0.0362857i
$592$	8.07310	+	7.49075i	0.331803	+	0.307868i
$593$	−20.4347	−	13.9321i	−0.839152	−	0.572124i	0.0657054	−	0.997839i	$-0.479070\pi$
$593$	−20.4347	−	13.9321i	−0.839152	−	0.572124i	−0.904857	+	0.425715i	$0.860023\pi$
$594$	5.90420	+	2.64361i	0.242252	+	0.108469i
$595$	10.5271	−	25.5739i	0.431571	−	1.04843i
$596$	−8.02912	−	16.6726i	−0.328885	−	0.682938i
$597$	−2.45953	+	17.4119i	−0.100662	+	0.712621i
$598$	0.885707	+	1.29909i	0.0362192	+	0.0531239i
$599$	−2.99968	−	19.9016i	−0.122564	−	0.813157i	−0.962659	−	0.270718i	$-0.912739\pi$
$599$	−2.99968	−	19.9016i	−0.122564	−	0.813157i	0.840095	−	0.542439i	$-0.182499\pi$
$600$	1.13099	+	1.19647i	0.0461725	+	0.0488458i
$601$	24.7660	−	19.7502i	1.01023	−	0.805629i	0.0292145	−	0.999573i	$-0.490699\pi$
$601$	24.7660	−	19.7502i	1.01023	−	0.805629i	0.981013	+	0.193944i	$0.0621280\pi$
$602$	0.920628	−	2.81865i	0.0375220	−	0.114879i
$603$	11.7954	−	15.3671i	0.480345	−	0.625796i
$604$	0.0286308	+	0.382052i	0.00116497	+	0.0155455i
$605$	24.9800	+	7.70532i	1.01558	+	0.313266i
$606$	1.93165	+	1.09148i	0.0784678	+	0.0443384i
$607$	−6.71821	+	3.87876i	−0.272684	+	0.157434i	−0.630107	−	0.776509i	$-0.716989\pi$
$607$	−6.71821	+	3.87876i	−0.272684	+	0.157434i	0.357423	+	0.933943i	$0.383656\pi$
$608$	4.85396	+	21.2666i	0.196854	+	0.862473i
$609$	−19.8637	+	15.6073i	−0.804916	+	0.632439i
$610$	0.116935	−	0.512326i	0.00473457	−	0.0207435i
$611$	4.10880	+	13.3204i	0.166224	+	0.538885i
$612$	11.5370	+	27.8650i	0.466356	+	1.12638i
$613$	1.43695	+	3.66128i	0.0580378	+	0.147878i	0.956952	−	0.290248i	$-0.0937377\pi$
$613$	1.43695	+	3.66128i	0.0580378	+	0.147878i	−0.898914	+	0.438126i	$0.855642\pi$
$614$	−2.15280	+	0.664052i	−0.0868801	+	0.0267990i
$615$	−4.25555	+	19.4755i	−0.171601	+	0.785327i
$616$	−11.5846	−	5.81619i	−0.466756	−	0.234341i
$617$	−14.5331	+	3.31709i	−0.585082	+	0.133541i	−0.504808	−	0.863232i	$-0.668437\pi$
$617$	−14.5331	+	3.31709i	−0.585082	+	0.133541i	−0.0802738	+	0.996773i	$0.525579\pi$
$618$	1.50203	+	2.54675i	0.0604204	+	0.102446i
$619$	31.0154	+	17.9067i	1.24661	+	0.719733i	0.970432	−	0.241373i	$-0.0775977\pi$
$619$	31.0154	+	17.9067i	1.24661	+	0.719733i	0.276181	+	0.961106i	$0.410931\pi$
$620$	−0.842426	+	2.73108i	−0.0338326	+	0.109683i
$621$	−21.6678	+	2.23132i	−0.869498	+	0.0895400i
$622$	0.0370419	+	0.0295399i	0.00148524	+	0.00118444i
$623$	4.12540	+	11.0437i	0.165281	+	0.442456i
$624$	7.17292	−	5.82983i	0.287147	−	0.233380i
$625$	14.1813	−	13.1583i	0.567252	−	0.526333i
$626$	1.96986	−	0.296909i	0.0787314	−	0.0118669i
$627$	−52.0328	+	36.1866i	−2.07799	+	1.44515i
$628$	−1.36111	+	9.03035i	−0.0543141	+	0.360350i
$629$	14.2511	−	6.86297i	0.568229	−	0.273645i
$630$	−2.28019	+	3.35918i	−0.0908449	+	0.133833i
$631$	30.7017	+	14.7852i	1.22222	+	0.588588i	0.929928	−	0.367742i	$-0.119869\pi$
$631$	30.7017	+	14.7852i	1.22222	+	0.588588i	0.292288	+	0.956330i	$0.405583\pi$
$632$	5.23298	−	7.67537i	0.208157	−	0.305310i
$633$	4.46735	+	4.06866i	0.177561	+	0.161715i
$634$	−0.181260	+	2.41874i	−0.00719875	+	0.0960606i
$635$	0.0496297	−	0.126455i	0.00196950	−	0.00501819i
$636$	0.270535	+	29.1754i	0.0107274	+	1.15688i
$637$	1.20171	+	10.2591i	0.0476133	+	0.406482i
$638$			6.86293i			0.271706i
$639$	25.0944	+	9.31559i	0.992719	+	0.368519i
$640$	−15.0297	−	1.12632i	−0.594101	−	0.0445217i
$641$	−0.0655041	+	0.0705966i	−0.00258726	+	0.00278840i	−0.734344	−	0.678777i	$-0.762510\pi$
$641$	−0.0655041	+	0.0705966i	−0.00258726	+	0.00278840i	0.731757	+	0.681566i	$0.238701\pi$
$642$	−2.48404	−	1.66006i	−0.0980371	−	0.0655173i
$643$	12.5619	−	26.0851i	0.495394	−	1.02870i	−0.492027	−	0.870580i	$-0.663744\pi$
$643$	12.5619	−	26.0851i	0.495394	−	1.02870i	0.987421	−	0.158116i	$-0.0505420\pi$
$644$	21.4291	−	1.25077i	0.844423	−	0.0492873i
$645$	13.7843	−	6.79632i	0.542755	−	0.267605i
$646$	9.75335	+	1.47008i	0.383740	+	0.0578396i
$647$	0.791755	−	0.539809i	0.0311271	−	0.0212221i	−0.547657	−	0.836703i	$-0.684480\pi$
$647$	0.791755	−	0.539809i	0.0311271	−	0.0212221i	0.578784	+	0.815481i	$0.303528\pi$
$648$	−1.67095	−	8.84622i	−0.0656412	−	0.347512i
$649$	8.51528	+	9.17729i	0.334254	+	0.360240i
$650$	−0.222225	−	0.278661i	−0.00871636	−	0.0109300i
$651$	3.35147	+	0.275524i	0.131355	+	0.0107986i
$652$	14.6500	−	18.3706i	0.573740	−	0.719447i
$653$	−37.3474	+	2.79880i	−1.46152	+	0.109526i	−0.781608	−	0.623770i	$-0.785600\pi$
$653$	−37.3474	+	2.79880i	−1.46152	+	0.109526i	−0.679910	+	0.733296i	$0.737981\pi$
$654$	−0.727806	+	2.43957i	−0.0284594	+	0.0953949i
$655$	5.36472	−	9.29196i	0.209617	−	0.363067i
$656$	10.3420	+	17.9129i	0.403788	+	0.699381i
$657$	−32.2693	+	7.99762i	−1.25895	+	0.312017i
$658$	−6.16943	−	1.51563i	−0.240509	−	0.0590855i
$659$	43.6184	+	9.95561i	1.69913	+	0.387816i	0.958723	−	0.284342i	$-0.0917752\pi$
$659$	43.6184	+	9.95561i	1.69913	+	0.387816i	0.740408	+	0.672158i	$0.234632\pi$
$660$	−10.0315	−	31.4819i	−0.390475	−	1.22543i
$661$	21.0760	−	8.27172i	0.819761	−	0.321733i	0.0818622	−	0.996644i	$-0.473913\pi$
$661$	21.0760	−	8.27172i	0.819761	−	0.321733i	0.737899	+	0.674911i	$0.235818\pi$
$662$	−5.55717	+	2.18103i	−0.215986	+	0.0847681i
$663$	−4.03055	−	12.6491i	−0.156533	−	0.491250i
$664$	2.17855	+	0.497240i	0.0845442	+	0.0192967i
$665$	−16.6649	−	36.1174i	−0.646236	−	1.40057i
$666$	−2.25388	+	0.558600i	−0.0873359	+	0.0216453i
$667$	−11.5544	−	20.0127i	−0.447387	−	0.774896i
$668$	1.66164	−	2.87804i	0.0642907	−	0.111355i
$669$	6.73167	−	22.5643i	0.260262	−	0.872386i
$670$	3.29376	−	0.246833i	0.127249	−	0.00953599i
$671$	3.13739	−	3.93416i	0.121118	−	0.151877i
$672$	1.89859	+	13.2450i	0.0732397	+	0.510936i
$673$	−11.3978	−	14.2924i	−0.439355	−	0.550933i	0.512018	−	0.858975i	$-0.328898\pi$
$673$	−11.3978	−	14.2924i	−0.439355	−	0.550933i	−0.951373	+	0.308041i	$0.900327\pi$
$674$	−5.02727	−	5.41811i	−0.193643	−	0.208698i
$675$	4.86029	−	0.871460i	0.187072	−	0.0335425i
$676$	17.3063	−	11.7993i	0.665629	−	0.453818i
$677$	9.33939	+	1.40769i	0.358942	+	0.0541018i	0.326038	−	0.945357i	$-0.394286\pi$
$677$	9.33939	+	1.40769i	0.358942	+	0.0541018i	0.0329041	+	0.999459i	$0.489524\pi$
$678$	5.55479	−	2.73878i	0.213330	−	0.105182i
$679$	31.8373	−	17.6875i	1.22180	−	0.678783i
$680$	−4.53669	+	9.42054i	−0.173974	+	0.361261i
$681$	14.5200	+	9.70359i	0.556408	+	0.371842i
$682$	0.621391	−	0.669700i	0.0237943	−	0.0256441i
$683$	−31.5947	−	2.36769i	−1.20894	−	0.0905973i	−0.545032	−	0.838415i	$-0.683483\pi$
$683$	−31.5947	−	2.36769i	−1.20894	−	0.0905973i	−0.663904	+	0.747818i	$0.731102\pi$
$684$	40.6652	+	15.0958i	1.55487	+	0.577203i
$685$			18.3247i			0.700149i
$686$	−4.29160	−	1.93452i	−0.163854	−	0.0738602i
$687$	−0.0788715	−	8.50577i	−0.00300914	−	0.324515i
$688$	5.82578	−	14.8438i	0.222106	−	0.565916i
$689$	0.959782	−	12.8074i	0.0365648	−	0.487923i
$690$	−2.74582	−	2.50078i	−0.104532	−	0.0952029i
$691$	−25.4125	+	37.2733i	−0.966736	+	1.41794i	−0.0590673	+	0.998254i	$0.518813\pi$
$691$	−25.4125	+	37.2733i	−0.966736	+	1.41794i	−0.907669	+	0.419687i	$0.862140\pi$
$692$	−30.0946	−	14.4928i	−1.14402	−	0.550933i
$693$	−33.6282	+	19.5071i	−1.27743	+	0.741015i
$694$	5.53893	−	2.66741i	0.210255	−	0.101253i
$695$	0.260867	−	1.73074i	0.00989524	−	0.0656506i
$696$	7.84104	−	5.45311i	0.297214	−	0.206700i
$697$	29.3759	−	4.42770i	1.11269	−	0.167711i
$698$	1.90042	−	1.76334i	0.0719321	−	0.0667433i
$699$	−19.4971	+	15.8464i	−0.737448	+	0.599365i
$700$	−4.82293	+	0.645758i	−0.182290	+	0.0244074i
$701$	4.36786	+	3.48325i	0.164972	+	0.131561i	0.702496	−	0.711688i	$-0.252069\pi$
$701$	4.36786	+	3.48325i	0.164972	+	0.131561i	−0.537524	+	0.843248i	$0.680640\pi$
$702$	0.199642	+	1.93866i	0.00753498	+	0.0731702i
$703$	6.70566	−	21.7392i	0.252909	−	0.819910i
$704$	−27.5330	−	15.8962i	−1.03769	−	0.599109i
$705$	−16.7273	−	28.3619i	−0.629986	−	1.06817i
$706$	−0.116267	+	0.0265372i	−0.00437576	+	0.000998740i
$707$	−12.1069	+	5.58624i	−0.455327	+	0.210092i
$708$	1.82908	−	8.37075i	0.0687410	−	0.314592i
$709$	28.4218	−	8.76696i	1.06740	−	0.329250i	0.289203	−	0.957268i	$-0.406610\pi$
$709$	28.4218	−	8.76696i	1.06740	−	0.329250i	0.778199	+	0.628018i	$0.216133\pi$
$710$	1.66740	+	4.24847i	0.0625765	+	0.159442i
$711$	−10.6577	−	25.7413i	−0.399696	−	0.965374i
$712$	−1.31377	−	4.25914i	−0.0492356	−	0.159618i
$713$	−0.684515	+	2.99906i	−0.0256353	+	0.112315i
$714$	5.88870	+	1.38890i	0.220379	+	0.0519781i
$715$	3.23648	+	14.1799i	0.121037	+	0.530299i
$716$	36.1082	−	20.8471i	1.34943	−	0.779092i
$717$	−5.78410	−	3.26832i	−0.216011	−	0.122058i
$718$	7.04747	+	2.17386i	0.263009	+	0.0811276i
$719$	−2.25850	−	30.1376i	−0.0842279	−	1.12394i	−0.865888	−	0.500238i	$-0.833246\pi$
$719$	−2.25850	−	30.1376i	−0.0842279	−	1.12394i	0.781660	−	0.623705i	$-0.214373\pi$
$720$	−13.2942	+	17.3197i	−0.495444	+	0.645468i
$721$	−17.6947	−	1.61999i	−0.658984	−	0.0603315i
$722$	7.31562	−	5.83401i	0.272259	−	0.217119i
$723$	−12.2233	−	12.9310i	−0.454588	−	0.480908i
$724$	2.34866	+	15.5824i	0.0872873	+	0.579114i
$725$	2.95093	+	4.32822i	0.109595	+	0.160746i
$726$	−0.799894	+	5.66274i	−0.0296868	+	0.210164i
$727$	1.27691	+	2.65153i	0.0473579	+	0.0983396i	0.923305	−	0.384067i	$-0.125477\pi$
$727$	1.27691	+	2.65153i	0.0473579	+	0.0983396i	−0.875947	+	0.482407i	$0.839763\pi$
$728$	−0.227555	−	3.89861i	−0.00843373	−	0.144492i
$729$	−24.9399	−	10.3441i	−0.923701	−	0.383113i
$730$	−4.68350	−	3.19316i	−0.173344	−	0.118184i
$731$	−16.7889	−	15.5779i	−0.620961	−	0.576168i
$732$	−3.43652	−	0.225509i	−0.127017	−	0.00833505i
$733$	−33.0877	−	12.9859i	−1.22212	−	0.479647i	−0.335454	−	0.942057i	$-0.608890\pi$
$733$	−33.0877	−	12.9859i	−1.22212	−	0.479647i	−0.886666	+	0.462410i	$0.846985\pi$
$734$	−4.04062			−0.149142
$735$	−8.37267	−	22.9174i	−0.308831	−	0.845321i
$736$	−12.2400			−0.451173
$737$	29.4417	+	11.5550i	1.08450	+	0.425635i
$738$	−4.35428	−	0.245208i	−0.160283	−	0.00902625i
$739$	0.596365	+	0.553346i	0.0219377	+	0.0203552i	0.691065	−	0.722792i	$-0.257142\pi$
$739$	0.596365	+	0.553346i	0.0219377	+	0.0203552i	−0.669128	+	0.743147i	$0.733332\pi$
$740$	9.79943	+	6.68114i	0.360234	+	0.245604i
$741$	−17.2793	−	8.12475i	−0.634770	−	0.298470i
$742$	4.78110	+	3.37656i	0.175520	+	0.123958i
$743$	2.82210	+	5.86016i	0.103533	+	0.214988i	0.946300	−	0.323290i	$-0.104789\pi$
$743$	2.82210	+	5.86016i	0.103533	+	0.214988i	−0.842767	+	0.538279i	$0.819075\pi$
$744$	−1.25889	−	0.177825i	−0.0461531	−	0.00651938i
$745$	−10.8391	−	15.8980i	−0.397114	−	0.582459i
$746$	−0.764334	−	5.07102i	−0.0279842	−	0.185663i
$747$	4.82736	−	4.64867i	0.176624	−	0.170086i
$748$	−38.4968	+	30.7002i	−1.40758	+	1.12251i
$749$	16.8197	−	6.28304i	0.614578	−	0.229577i
$750$	4.15188	+	3.24849i	0.151605	+	0.118618i
$751$	−2.33956	−	31.2193i	−0.0853719	−	1.13921i	−0.861201	−	0.508265i	$-0.830287\pi$
$751$	−2.33956	−	31.2193i	−0.0853719	−	1.13921i	0.775829	−	0.630943i	$-0.217332\pi$
$752$	−32.6466	−	10.0701i	−1.19050	−	0.367220i
$753$	−23.3679	+	41.3552i	−0.851573	+	1.50707i
$754$	−1.79058	+	1.03379i	−0.0652092	+	0.0376486i
$755$	0.0886447	+	0.388378i	0.00322611	+	0.0141345i
$756$	24.1014	+	11.2724i	0.876561	+	0.409972i
$757$	−3.29604	+	14.4409i	−0.119797	+	0.524863i	0.879045	+	0.476739i	$0.158181\pi$
$757$	−3.29604	+	14.4409i	−0.119797	+	0.524863i	−0.998841	+	0.0481239i	$0.984676\pi$
$758$	−0.260166	−	0.843437i	−0.00944965	−	0.0306350i
$759$	−13.2991	−	32.9830i	−0.482727	−	1.19721i
$760$	5.49421	+	13.9990i	0.199296	+	0.507798i
$761$	4.60590	−	1.42073i	0.166964	−	0.0515015i	−0.210146	−	0.977670i	$-0.567394\pi$
$761$	4.60590	−	1.42073i	0.166964	−	0.0515015i	0.377110	+	0.926168i	$0.376918\pi$
$762$	0.0290338	+	0.00634412i	0.00105178	+	0.000229823i
$763$	−9.34045	−	12.1174i	−0.338147	−	0.438678i
$764$	−39.6639	+	9.05302i	−1.43499	+	0.327527i
$765$	16.1803	+	26.8621i	0.585000	+	0.971201i
$766$	−4.37138	−	2.52382i	−0.157944	−	0.0911892i
$767$	−1.11172	+	3.60411i	−0.0401419	+	0.130137i
$768$	1.61127	+	19.1201i	0.0581417	+	0.689938i
$769$	29.4515	+	23.4868i	1.06205	+	0.846955i	0.988633	−	0.150347i	$-0.0480390\pi$
$769$	29.4515	+	23.4868i	1.06205	+	0.846955i	0.0734145	+	0.997302i	$0.476610\pi$
$770$	−6.30097	−	2.05803i	−0.227071	−	0.0741661i
$771$	−18.7067	−	23.0164i	−0.673705	−	0.828914i
$772$	5.97336	−	5.54247i	0.214986	−	0.199478i
$773$	17.8268	−	2.68696i	0.641185	−	0.0966432i	0.179601	−	0.983740i	$-0.442519\pi$
$773$	17.8268	−	2.68696i	0.641185	−	0.0966432i	0.461584	+	0.887096i	$0.347281\pi$
$774$	1.94518	+	2.74238i	0.0699182	+	0.0985729i
$775$	0.103932	−	0.689544i	0.00373335	−	0.0247691i
$776$	−12.4061	+	5.97446i	−0.445353	+	0.214471i
$777$	5.19198	−	12.9530i	0.186261	−	0.464685i
$778$	−3.54714	−	1.70821i	−0.127171	−	0.0612424i
$779$	24.0694	−	35.3033i	0.862375	−	1.26487i
$780$	6.70275	−	7.35954i	0.239997	−	0.263514i
$781$	−3.26589	+	43.5803i	−0.116863	+	1.55943i
$782$	−2.02203	+	5.15204i	−0.0723075	+	0.184237i
$783$	−0.796699	−	28.6330i	−0.0284717	−	1.02326i
$784$	−22.4339	−	11.7306i	−0.801211	−	0.418948i
$785$			9.49568i			0.338915i
$786$	2.19288	+	0.837260i	0.0782173	+	0.0298641i
$787$	31.8883	+	2.38970i	1.13670	+	0.0851836i	0.629753	−	0.776796i	$-0.283156\pi$
$787$	31.8883	+	2.38970i	1.13670	+	0.0851836i	0.506944	+	0.861979i	$0.330775\pi$
$788$	10.2387	−	11.0347i	0.364739	−	0.393095i
$789$	22.9048	−	34.2736i	0.815431	−	1.22017i
$790$	2.06106	−	4.27984i	0.0733294	−	0.152270i
$791$	−6.15366	+	36.7071i	−0.218799	+	1.30516i
$792$	13.1221	−	6.62181i	0.466275	−	0.235296i
$793$	1.49905	+	0.225945i	0.0532328	+	0.00802355i
$794$	−0.284204	+	0.193767i	−0.0100860	+	0.00687653i
$795$	4.79952	+	29.9554i	0.170221	+	1.06241i
$796$	13.3648	+	14.4039i	0.473704	+	0.510532i
$797$	−15.1127	−	18.9507i	−0.535319	−	0.671269i	0.438464	−	0.898749i	$-0.355523\pi$
$797$	−15.1127	−	18.9507i	−0.535319	−	0.671269i	−0.973783	+	0.227480i	$0.926951\pi$
$798$	7.22511	−	4.84990i	0.255766	−	0.171685i
$799$	−30.5940	+	38.3637i	−1.08234	+	1.35721i
$800$	2.76690	−	0.207350i	0.0978247	−	0.00733095i
$801$	−12.8445	−	3.70260i	−0.453839	−	0.130825i
$802$	0.454105	−	0.786532i	0.0160350	−	0.0277734i
$803$	−27.1394	−	47.0068i	−0.957728	−	1.65883i
$804$	−5.01224	−	21.0581i	−0.176768	−	0.742662i
$805$	21.8389	−	4.60691i	0.769720	−	0.162372i
$806$	0.268332	+	0.0612451i	0.00945160	+	0.00215726i
$807$	−0.723044	+	0.230393i	−0.0254523	+	0.00811022i
$808$	4.69262	−	1.84172i	0.165086	−	0.0647914i
$809$	26.0783	−	10.2350i	0.916863	−	0.359842i	0.140466	−	0.990086i	$-0.455140\pi$
$809$	26.0783	−	10.2350i	0.916863	−	0.359842i	0.776398	+	0.630243i	$0.217045\pi$
$810$	−1.51912	−	4.34570i	−0.0533763	−	0.152692i
$811$	−32.6330	−	7.44827i	−1.14590	−	0.261544i	−0.392910	−	0.919577i	$-0.628532\pi$
$811$	−32.6330	−	7.44827i	−1.14590	−	0.261544i	−0.752989	+	0.658033i	$0.771389\pi$
$812$	−0.465671	+	28.2236i	−0.0163419	+	0.990453i
$813$	38.6674	−	9.20360i	1.35612	−	0.322785i
$814$	−1.89557	−	3.28323i	−0.0664398	−	0.115077i
$815$	12.2158	−	21.1584i	0.427902	−	0.741147i
$816$	31.1791	+	9.30177i	1.09149	+	0.325627i
$817$	−32.8484	+	2.46164i	−1.14922	+	0.0861220i
$818$	−0.642786	+	0.806029i	−0.0224745	+	0.0281821i
$819$	−10.1551	−	5.83537i	−0.354848	−	0.203904i
$820$	13.8885	+	17.4156i	0.485006	+	0.608178i
$821$	−3.92085	−	4.22567i	−0.136839	−	0.147477i	0.660914	−	0.750461i	$-0.270169\pi$
$821$	−3.92085	−	4.22567i	−0.136839	−	0.147477i	−0.797753	+	0.602984i	$0.793978\pi$
$822$	−3.95840	+	0.634224i	−0.138065	+	0.0221211i
$823$	25.1355	−	17.1371i	0.876167	−	0.597361i	−0.0395351	−	0.999218i	$-0.512588\pi$
$823$	25.1355	−	17.1371i	0.876167	−	0.597361i	0.915702	+	0.401858i	$0.131635\pi$
$824$	6.64287	+	1.00125i	0.231415	+	0.0348803i
$825$	3.56506	+	7.23063i	0.124119	+	0.251738i
$826$	−1.14820	−	1.27916i	−0.0399512	−	0.0445077i
$827$	5.97906	−	12.4156i	0.207912	−	0.431734i	−0.770770	−	0.637113i	$-0.780128\pi$
$827$	5.97906	−	12.4156i	0.207912	−	0.431734i	0.978683	+	0.205379i	$0.0658426\pi$
$828$	−13.3357	+	20.3611i	−0.463448	+	0.707598i
$829$	−32.6378	+	35.1752i	−1.13356	+	1.22169i	−0.161519	+	0.986870i	$0.551639\pi$
$829$	−32.6378	+	35.1752i	−1.13356	+	1.22169i	−0.972040	+	0.234816i	$0.924551\pi$
$830$	1.13947	+	0.0853916i	0.0395516	+	0.00296399i
$831$	−19.1524	+	50.1622i	−0.664388	+	1.74011i
$832$		−	9.57805i		−	0.332059i
$833$	−27.4551	+	23.8383i	−0.951263	+	0.825948i
$834$	0.382894	−	0.00355046i	0.0132585	−	0.000122942i
$835$	1.26243	−	3.21662i	0.0436883	−	0.111316i
$836$	−5.29235	+	70.6215i	−0.183040	+	2.44250i
$837$	−2.51477	+	2.86621i	−0.0869233	+	0.0990705i
$838$	−4.64639	+	6.81501i	−0.160507	+	0.235421i
$839$	39.3822	+	18.9655i	1.35962	+	0.654760i	0.964553	−	0.263890i	$-0.0850057\pi$
$839$	39.3822	+	18.9655i	1.35962	+	0.654760i	0.395071	+	0.918651i	$0.370720\pi$
$840$	2.65525	+	8.83424i	0.0916149	+	0.304810i
$841$	1.25075	−	0.602329i	0.0431293	−	0.0207700i
$842$	−0.464352	+	3.08077i	−0.0160026	+	0.106170i
$843$	27.7239	+	39.8643i	0.954863	+	1.37300i
$844$	6.67642	−	1.00631i	0.229812	−	0.0346386i
$845$	15.9653	−	14.8137i	0.549224	−	0.509605i
$846$	5.54765	−	4.59496i	0.190732	−	0.157978i
$847$	−24.8051	−	23.7892i	−0.852313	−	0.817408i
$848$	24.6100	+	19.6258i	0.845110	+	0.673952i
$849$	−10.1274	+	0.853446i	−0.347572	+	0.0292902i
$850$	0.369809	−	1.19889i	0.0126844	−	0.0411217i
$851$	11.0552	+	6.38273i	0.378968	+	0.218797i
$852$	25.7632	−	15.1946i	0.882633	−	0.520560i
$853$	20.8150	−	4.75088i	0.712690	−	0.162667i	0.149221	−	0.988804i	$-0.452323\pi$
$853$	20.8150	−	4.75088i	0.712690	−	0.162667i	0.563469	+	0.826137i	$0.309466\pi$
$854$	−0.439617	+	0.532982i	−0.0150434	+	0.0182383i
$855$	44.1502	+	9.21912i	1.50991	+	0.315287i
$856$	−6.48672	+	2.00089i	−0.221712	+	0.0683890i
$857$	−0.851196	−	2.16881i	−0.0290763	−	0.0740852i	0.915598	−	0.402094i	$-0.131718\pi$
$857$	−0.851196	−	2.16881i	−0.0290763	−	0.0740852i	−0.944675	+	0.328009i	$0.893622\pi$
$858$	−2.95106	+	1.18990i	−0.100747	+	0.0406225i
$859$	−1.70132	−	5.51554i	−0.0580482	−	0.188188i	0.921905	−	0.387417i	$-0.126632\pi$
$859$	−1.70132	−	5.51554i	−0.0580482	−	0.188188i	−0.979953	+	0.199229i	$0.936156\pi$
$860$	3.82134	−	16.7424i	0.130307	−	0.570910i
$861$	16.4888	−	20.3725i	0.561935	−	0.694294i
$862$	−2.05163	−	8.98877i	−0.0698788	−	0.306159i
$863$	−19.2964	+	11.1408i	−0.656858	+	0.379237i	−0.791079	−	0.611714i	$-0.790480\pi$
$863$	−19.2964	+	11.1408i	−0.656858	+	0.379237i	0.134221	+	0.990951i	$0.457147\pi$
$864$	−13.3452	−	7.21757i	−0.454012	−	0.245547i
$865$	−33.1884	−	10.2373i	−1.12844	−	0.348077i
$866$	0.423186	+	5.64703i	0.0143805	+	0.191894i
$867$	10.6524	−	13.6148i	0.361774	−	0.462381i
$868$	2.60089	−	2.71195i	0.0882799	−	0.0920497i
$869$	35.5628	−	28.3604i	1.20639	−	0.962061i
$870$	3.54919	−	3.35494i	0.120329	−	0.113743i
$871$	1.42016	+	9.42213i	0.0481202	+	0.319257i
$872$	3.25845	+	4.77927i	0.110345	+	0.161846i
$873$	−5.39669	+	40.9429i	−0.182650	+	1.38571i
$874$	3.45385	+	7.17199i	0.116828	+	0.242596i
$875$	−30.4234	+	8.83744i	−1.02850	+	0.298760i
$876$	−15.8072	+	33.6178i	−0.534074	+	1.13584i
$877$	23.5116	+	16.0299i	0.793930	+	0.541292i	0.891010	−	0.453984i	$-0.149998\pi$
$877$	23.5116	+	16.0299i	0.793930	+	0.541292i	−0.0970797	+	0.995277i	$0.530950\pi$
$878$	−6.90434	−	6.40629i	−0.233010	−	0.216202i
$879$	1.53783	−	23.4349i	0.0518698	−	0.790441i
$880$	−33.1828	−	13.0233i	−1.11859	−	0.439015i
$881$	−26.4253			−0.890292			−0.445146	−	0.895458i	$-0.646848\pi$
$881$	−26.4253			−0.890292			−0.445146	+	0.895458i	$0.646848\pi$
$882$	4.66072	−	2.60180i	0.156935	−	0.0876072i
$883$	14.2651			0.480058			0.240029	−	0.970766i	$-0.422843\pi$
$883$	14.2651			0.480058			0.240029	+	0.970766i	$0.422843\pi$
$884$	−13.8088	−	5.41957i	−0.464442	−	0.182280i
$885$	0.583375	−	8.89002i	0.0196099	−	0.298835i
$886$	−4.05472	−	3.76223i	−0.136221	−	0.126395i
$887$	19.6375	+	13.3886i	0.659363	+	0.449546i	0.846215	−	0.532842i	$-0.178876\pi$
$887$	19.6375	+	13.3886i	0.659363	+	0.449546i	−0.186852	+	0.982388i	$0.559828\pi$
$888$	−2.24498	+	4.77450i	−0.0753366	+	0.160222i
$889$	−0.132909	+	0.119302i	−0.00445762	+	0.00400126i
$890$	−0.988908	−	2.05349i	−0.0331483	−	0.0688331i
$891$	4.94918	−	43.8031i	0.165804	−	1.46746i
$892$	−14.8218	−	21.7395i	−0.496269	−	0.727893i
$893$	10.5186	+	69.7863i	0.351991	+	2.33531i
$894$	3.05907	−	2.89164i	0.102310	−	0.0967110i
$895$	33.8947	−	27.0301i	1.13298	−	0.903517i
$896$	16.9949	+	10.1895i	0.567759	+	0.340406i
$897$	6.60217	−	8.43820i	0.220440	−	0.281743i
$898$	−0.236069	−	3.15012i	−0.00787772	−	0.105121i
$899$	−3.86550	−	1.19235i	−0.128921	−	0.0397670i
$900$	2.66966	−	4.82862i	0.0889888	−	0.160954i
$901$	39.1527	−	22.6048i	1.30437	−	0.753076i
$902$	−1.58442	−	6.94180i	−0.0527555	−	0.231137i
$903$	−20.2051	−	0.145994i	−0.672384	−	0.00485836i
$904$	3.13126	−	13.7189i	0.104144	−	0.456285i
$905$	4.82965	+	15.6573i	0.160543	+	0.520468i
$906$	−0.0808273	+	0.0325905i	−0.00268531	+	0.00108275i
$907$	2.33573	+	5.95133i	0.0775565	+	0.197611i	0.964393	−	0.264472i	$-0.0851976\pi$
$907$	2.33573	+	5.95133i	0.0775565	+	0.197611i	−0.886837	+	0.462083i	$0.847102\pi$
$908$	18.6473	−	5.75192i	0.618831	−	0.190884i
$909$	3.09034	−	14.7996i	0.102500	−	0.490872i
$910$	−0.412190	−	1.95397i	−0.0136640	−	0.0647736i
$911$	−33.9951	+	7.75915i	−1.12631	+	0.257072i	−0.744796	−	0.667292i	$-0.767453\pi$
$911$	−33.9951	+	7.75915i	−1.12631	+	0.257072i	−0.381511	+	0.924364i	$0.624596\pi$
$912$	40.3088	−	23.7734i	1.33476	−	0.787215i
$913$	9.47578	+	5.47085i	0.313603	+	0.181059i
$914$	2.33777	−	7.57886i	0.0773266	−	0.250687i
$915$	−3.56828	+	0.300702i	−0.117964	+	0.00994090i
$916$	−7.43112	−	5.92612i	−0.245531	−	0.195804i
$917$	−11.7847	+	7.75301i	−0.389165	+	0.256027i
$918$	−5.24260	+	4.42489i	−0.173032	+	0.146043i
$919$	−18.8174	+	17.4600i	−0.620730	+	0.575953i	−0.926567	−	0.376131i	$-0.877254\pi$
$919$	−18.8174	+	17.4600i	−0.620730	+	0.575953i	0.305837	+	0.952084i	$0.401064\pi$
$920$	−8.34422	+	1.25769i	−0.275101	+	0.0414648i
$921$	8.76526	+	12.6036i	0.288825	+	0.415302i
$922$	0.169151	−	1.12224i	0.00557069	−	0.0369591i
$923$	−11.8624	+	5.71261i	−0.390454	+	0.188033i
$924$	−6.78469	+	42.9075i	−0.223200	+	1.41155i
$925$	−2.60720	−	1.25556i	−0.0857242	−	0.0412826i
$926$	−3.93213	+	5.76738i	−0.129218	+	0.189528i
$927$	13.4277	−	15.0210i	0.441025	−	0.493353i
$928$	1.20284	−	16.0507i	0.0394850	−	0.526891i
$929$	9.65770	−	24.6074i	0.316859	−	0.807343i	−0.680364	−	0.732874i	$-0.738178\pi$
$929$	9.65770	−	24.6074i	0.316859	−	0.807343i	0.997223	−	0.0744693i	$-0.0237263\pi$
$930$	−0.650104	+	0.00602823i	−0.0213178	+	0.000197673i
$931$	−1.72522	+	52.2671i	−0.0565418	+	1.71298i
$932$			28.0742i			0.919601i
$933$	0.115159	−	0.301613i	0.00377012	−	0.00987437i
$934$	−4.69182	−	0.351603i	−0.153521	−	0.0115048i
$935$	−34.8237	+	37.5310i	−1.13886	+	1.22739i
$936$	3.70432	+	2.42618i	0.121080	+	0.0793022i
$937$	−23.4947	+	48.7873i	−0.767539	+	1.59381i	0.0365724	+	0.999331i	$0.488356\pi$
$937$	−23.4947	+	48.7873i	−0.767539	+	1.59381i	−0.804111	+	0.594479i	$0.797358\pi$
$938$	−4.01564	−	1.65298i	−0.131115	−	0.0539717i
$939$	−6.00305	−	12.1754i	−0.195902	−	0.397328i
$940$	−36.3819	−	5.48369i	−1.18665	−	0.178858i
$941$	−47.0496	+	32.0779i	−1.53377	+	1.04571i	−0.557238	+	0.830353i	$0.688139\pi$
$941$	−47.0496	+	32.0779i	−1.53377	+	1.04571i	−0.976535	+	0.215357i	$0.930909\pi$
$942$	−2.05121	+	0.328650i	−0.0668320	+	0.0107080i
$943$	16.3074	+	17.5752i	0.531043	+	0.572328i
$944$	−5.76347	−	7.22717i	−0.187585	−	0.235224i
$945$	26.5273	+	7.85488i	0.862933	+	0.255519i
$946$	−3.42254	+	4.29174i	−0.111277	+	0.139536i
$947$	11.3641	−	0.851624i	0.369285	−	0.0276741i	0.111204	−	0.993798i	$-0.464529\pi$
$947$	11.3641	−	0.851624i	0.369285	−	0.0276741i	0.258080	+	0.966123i	$0.416910\pi$
$948$	−29.8319	−	8.89985i	−0.968896	−	0.289054i
$949$	8.17626	−	14.1617i	0.265413	−	0.459708i
$950$	−0.902251	−	1.56274i	−0.0292729	−	0.0507021i
$951$	16.0791	−	3.82714i	0.521399	−	0.124103i
$952$	10.8876	−	8.39253i	0.352870	−	0.272003i
$953$	8.45318	+	1.92938i	0.273825	+	0.0624989i	0.357229	−	0.934017i	$-0.383722\pi$
$953$	8.45318	+	1.92938i	0.273825	+	0.0624989i	−0.0834030	+	0.996516i	$0.526579\pi$
$954$	−6.30469	+	2.07354i	−0.204122	+	0.0671332i
$955$	−39.3783	+	15.4548i	−1.27425	+	0.500107i
$956$	−6.91042	+	2.71214i	−0.223499	+	0.0877169i
$957$	44.5586	−	14.1983i	1.44038	−	0.458966i
$958$	0.242406	+	0.0553275i	0.00783177	+	0.00178755i
$959$	10.8098	−	21.5307i	0.349066	−	0.695263i
$960$	5.23872	+	22.0096i	0.169079	+	0.710357i
$961$	−15.2308	−	26.3804i	−0.491315	−	0.850982i
$962$	0.571077	−	0.989135i	0.0184123	−	0.0318910i
$963$	−5.63911	+	19.5624i	−0.181718	+	0.630389i
$964$	−19.8271	+	1.48584i	−0.638589	+	0.0478556i
$965$	5.28271	−	6.62431i	0.170056	−	0.213244i
$966$	1.75101	+	4.55808i	0.0563380	+	0.146654i
$967$	27.4709	+	34.4475i	0.883406	+	1.10776i	0.993500	+	0.113835i	$0.0363134\pi$
$967$	27.4709	+	34.4475i	0.883406	+	1.10776i	−0.110094	+	0.993921i	$0.535115\pi$
$968$	8.83819	+	9.52531i	0.284070	+	0.306155i
$969$	−10.6334	−	66.3665i	−0.341594	−	2.13200i
$970$	−5.81776	+	3.96648i	−0.186797	+	0.127356i
$971$	44.0175	+	6.63458i	1.41259	+	0.212914i	0.810605	−	0.585593i	$-0.199138\pi$
$971$	44.0175	+	6.63458i	1.41259	+	0.212914i	0.601985	+	0.798507i	$0.294377\pi$
$972$	−26.5462	+	14.3359i	−0.851469	+	0.459824i
$973$	−1.32748	+	1.87966i	−0.0425569	+	0.0602591i
$974$	2.60632	−	5.41208i	0.0835120	−	0.173414i
$975$	−1.34950	+	2.01933i	−0.0432186	+	0.0646703i
$976$	−2.52716	+	2.72364i	−0.0808926	+	0.0871815i
$977$	39.3633	+	2.94987i	1.25934	+	0.0943749i	0.687620	−	0.726071i	$-0.258655\pi$
$977$	39.3633	+	2.94987i	1.25934	+	0.0943749i	0.571725	+	0.820445i	$0.306274\pi$
$978$	4.99333	+	1.90650i	0.159669	+	0.0609631i
$979$		−	21.8247i		−	0.697519i
$980$	−25.7729	−	8.89110i	−0.823284	−	0.284016i
$981$	17.3450	−	0.321698i	0.553784	−	0.0102710i
$982$	0.657059	−	1.67416i	0.0209676	−	0.0534246i
$983$	3.58690	−	47.8638i	0.114404	−	1.52662i	−0.584494	−	0.811398i	$-0.698707\pi$
$983$	3.58690	−	47.8638i	0.114404	−	1.52662i	0.698898	−	0.715221i	$-0.253674\pi$
$984$	−6.67221	+	7.32602i	−0.212702	+	0.233545i
$985$	8.81708	−	12.9323i	0.280935	−	0.412057i
$986$	−6.55734	−	3.15785i	−0.208828	−	0.100566i
$987$	2.92309	+	43.1915i	0.0930431	+	1.37480i
$988$	−19.2228	+	9.25723i	−0.611560	+	0.294512i
$989$	2.75484	−	18.2771i	0.0875987	−	0.581179i
$990$	6.13048	−	4.34838i	0.194840	−	0.138201i
$991$	−36.4224	+	5.48980i	−1.15700	+	0.174389i	−0.699373	−	0.714757i	$-0.746537\pi$
$991$	−36.4224	+	5.48980i	−1.15700	+	0.174389i	−0.457623	+	0.889146i	$0.651299\pi$
$992$	−1.57066	+	1.45736i	−0.0498684	+	0.0462712i
$993$	25.6576	+	31.5686i	0.814218	+	1.00180i
$994$	0.547060	−	5.97538i	0.0173517	−	0.189528i
$995$	15.9735	+	12.7385i	0.506395	+	0.403837i
$996$	−0.628837	−	7.46209i	−0.0199255	−	0.236445i
$997$	1.09313	−	3.54384i	0.0346198	−	0.112235i	−0.936614	−	0.350364i	$-0.886058\pi$
$997$	1.09313	−	3.54384i	0.0346198	−	0.112235i	0.971233	+	0.238129i	$0.0765342\pi$
$998$	3.91762	+	2.26184i	0.124010	+	0.0715972i
$999$	8.28970	+	13.4780i	0.262274	+	0.426424i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	147.2.o.b.101.9	yes	192
3.2	odd	2	inner	147.2.o.b.101.8	✓	192
49.33	odd	42	inner	147.2.o.b.131.8	yes	192
147.131	even	42	inner	147.2.o.b.131.9	yes	192

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
147.2.o.b.101.8	✓	192	3.2	odd	2	inner
147.2.o.b.101.9	yes	192	1.1	even	1	trivial
147.2.o.b.131.8	yes	192	49.33	odd	42	inner
147.2.o.b.131.9	yes	192	147.131	even	42	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 147 = 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	147.o (of order \(42\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.236609 + 0.0928620i) q^{2} +(0.113416 - 1.72833i) q^{3} +(-1.41874 - 1.31640i) q^{4} +(-1.66272 - 1.13362i) q^{5} +(0.187332 - 0.398407i) q^{6} +(1.28490 + 2.31280i) q^{7} +(-0.434011 - 0.901234i) q^{8} +(-2.97427 - 0.392040i) q^{9} +(-0.288143 - 0.422628i) q^{10} +(-0.730006 - 4.84327i) q^{11} +(-2.43609 + 2.30276i) q^{12} +(1.15368 - 0.920028i) q^{13} +(0.0892461 + 0.666546i) q^{14} +(-2.14785 + 2.74516i) q^{15} +(0.270264 + 3.60642i) q^{16} +(4.96351 + 1.53104i) q^{17} +(-0.667333 - 0.368957i) q^{18} +(6.46990 - 3.73540i) q^{19} +(0.866668 + 3.79712i) q^{20} +(4.14302 - 1.95842i) q^{21} +(0.277031 - 1.21375i) q^{22} +(1.23562 + 4.00578i) q^{23} +(-1.60686 + 0.647903i) q^{24} +(-0.347176 - 0.884590i) q^{25} +(0.358406 - 0.110554i) q^{26} +(-1.01490 + 5.09607i) q^{27} +(1.22164 - 4.97271i) q^{28} +(-5.37434 + 1.22666i) q^{29} +(-0.763121 + 0.450074i) q^{30} +(0.635505 + 0.366909i) q^{31} +(-0.860637 + 2.79012i) q^{32} +(-8.45359 + 0.712392i) q^{33} +(1.03223 + 0.823180i) q^{34} +(0.485420 - 5.30211i) q^{35} +(3.70365 + 4.47154i) q^{36} +(2.23228 - 2.07125i) q^{37} +(1.87771 - 0.283019i) q^{38} +(-1.45927 - 2.09829i) q^{39} +(-0.300020 + 1.99050i) q^{40} +(5.15291 - 2.48151i) q^{41} +(1.16214 - 0.0786504i) q^{42} +(-3.97258 - 1.91309i) q^{43} +(-5.34000 + 7.83235i) q^{44} +(4.50095 + 4.02355i) q^{45} +(-0.0796267 + 1.06254i) q^{46} +(-3.45128 + 8.79371i) q^{47} +(6.26375 - 0.0580819i) q^{48} +(-3.69808 + 5.94341i) q^{49} -0.241541i q^{50} +(3.20909 - 8.40497i) q^{51} +(-2.84790 - 0.213421i) q^{52} +(5.92004 - 6.38029i) q^{53} +(-0.713367 + 1.11153i) q^{54} +(-4.27664 + 8.88054i) q^{55} +(1.52671 - 2.16177i) q^{56} +(-5.72222 - 11.6058i) q^{57} +(-1.38552 - 0.208834i) q^{58} +(-2.11188 + 1.43985i) q^{59} +(6.66098 - 1.06724i) q^{60} +(0.698781 + 0.753107i) q^{61} +(0.116294 + 0.145828i) q^{62} +(-2.91492 - 7.38263i) q^{63} +(4.04701 - 5.07479i) q^{64} +(-2.96120 + 0.221912i) q^{65} +(-2.06635 - 0.616459i) q^{66} +(-3.22868 + 5.59224i) q^{67} +(-5.02649 - 8.70613i) q^{68} +(7.06346 - 1.68124i) q^{69} +(0.607220 - 1.20945i) q^{70} +(-8.69885 - 1.98546i) q^{71} +(0.937549 + 2.85067i) q^{72} +(10.3158 - 4.04866i) q^{73} +(0.720516 - 0.282782i) q^{74} +(-1.56824 + 0.499710i) q^{75} +(-14.0964 - 3.21741i) q^{76} +(10.2635 - 7.91146i) q^{77} +(-0.150425 - 0.631984i) q^{78} +(4.64340 + 8.04260i) q^{79} +(3.63894 - 6.30283i) q^{80} +(8.69261 + 2.33207i) q^{81} +(1.44966 - 0.108637i) q^{82} +(-1.39283 + 1.74655i) q^{83} +(-8.45595 - 2.67538i) q^{84} +(-6.51730 - 8.17243i) q^{85} +(-0.762293 - 0.821556i) q^{86} +(1.51054 + 9.42778i) q^{87} +(-4.04809 + 2.75994i) q^{88} +(4.40608 + 0.664110i) q^{89} +(0.691328 + 1.36997i) q^{90} +(3.61020 + 1.48609i) q^{91} +(3.52019 - 7.30975i) q^{92} +(0.706218 - 1.05675i) q^{93} +(-1.63320 + 1.76017i) q^{94} +(-14.9921 - 1.12350i) q^{95} +(4.72464 + 1.80391i) q^{96} -13.7657i q^{97} +(-1.42692 + 1.06285i) q^{98} +(0.272482 + 14.6914i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 192 q - 14 q^{3} - 44 q^{4} - 28 q^{6} - 28 q^{7} - 26 q^{9} - 28 q^{10} + 21 q^{12} - 28 q^{13} - 10 q^{15} - 20 q^{16} - 3 q^{18} - 42 q^{19} - 14 q^{21} - 34 q^{22} - 14 q^{24} - 16 q^{25} + 7 q^{27}+ \cdots - 136 q^{99}+O(q^{100}) \) 192 * q - 14 * q^3 - 44 * q^4 - 28 * q^6 - 28 * q^7 - 26 * q^9 - 28 * q^10 + 21 * q^12 - 28 * q^13 - 10 * q^15 - 20 * q^16 - 3 * q^18 - 42 * q^19 - 14 * q^21 - 34 * q^22 - 14 * q^24 - 16 * q^25 + 7 * q^27 - 70 * q^28 - q^30 - 42 * q^31 - 14 * q^33 + 28 * q^34 + 10 * q^36 + 46 * q^37 + 51 * q^39 + 112 * q^40 - 28 * q^42 - 36 * q^43 - 35 * q^45 + 148 * q^46 + 28 * q^49 - 20 * q^51 - 28 * q^52 - 14 * q^54 + 182 * q^55 + 2 * q^57 + 126 * q^58 - 132 * q^60 - 168 * q^61 - 119 * q^63 - 4 * q^64 - 42 * q^66 - 26 * q^67 + 70 * q^69 + 28 * q^70 + 6 * q^72 - 28 * q^73 - 140 * q^75 - 252 * q^76 + 36 * q^78 - 10 * q^79 + 134 * q^81 + 42 * q^82 + 56 * q^84 - 76 * q^85 + 98 * q^87 - 20 * q^88 + 175 * q^90 + 178 * q^93 + 322 * q^96 - 136 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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