LMFDB - Embedded newform 99.2.p.a.29.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [99,2,Mod(2,99)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(99, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([5, 3]))

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

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

chi := DirichletCharacter("99.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.p (of order $30$, degree $8$, 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:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			29.10
Character	$\chi$	$=$	99.29
Dual form			99.2.p.a.41.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(2.14162 - 0.953512i) q^{2} +(-1.25398 - 1.19479i) q^{3} +(2.33911 - 2.59784i) q^{4} +(-1.18835 + 2.66909i) q^{5} +(-3.82481 - 1.36311i) q^{6} +(0.273495 - 1.28669i) q^{7} +(1.08356 - 3.33484i) q^{8} +(0.144932 + 2.99650i) q^{9} +6.84930i q^{10} +(2.99913 + 1.41605i) q^{11} +(-6.03708 + 0.462889i) q^{12} +(-5.87678 - 0.617674i) q^{13} +(-0.641155 - 3.01640i) q^{14} +(4.67919 - 1.92714i) q^{15} +(-0.128435 - 1.22198i) q^{16} +(3.07734 - 2.23582i) q^{17} +(3.16759 + 6.27917i) q^{18} +(-2.83716 - 0.921851i) q^{19} +(4.15418 + 9.33044i) q^{20} +(-1.88029 + 1.28672i) q^{21} +(7.77324 + 0.172942i) q^{22} +(0.0733618 - 0.0423554i) q^{23} +(-5.34321 + 2.88720i) q^{24} +(-2.36619 - 2.62792i) q^{25} +(-13.1748 + 4.28075i) q^{26} +(3.39846 - 3.93071i) q^{27} +(-2.70289 - 3.72021i) q^{28} +(-4.30718 - 0.915520i) q^{29} +(8.18350 - 8.58888i) q^{30} +(0.269516 - 2.56428i) q^{31} +(2.06622 + 3.57881i) q^{32} +(-2.06896 - 5.35905i) q^{33} +(4.45863 - 7.72257i) q^{34} +(3.10929 + 2.25903i) q^{35} +(8.12343 + 6.63261i) q^{36} +(-2.11787 - 6.51815i) q^{37} +(-6.95514 + 0.731014i) q^{38} +(6.63137 + 7.79609i) q^{39} +(7.61334 + 6.85508i) q^{40} +(-4.42142 + 0.939802i) q^{41} +(-2.79998 + 4.54855i) q^{42} +(-2.93163 - 1.69258i) q^{43} +(10.6940 - 4.47897i) q^{44} +(-8.17015 - 3.17406i) q^{45} +(0.116727 - 0.160661i) q^{46} +(3.53111 - 3.17942i) q^{47} +(-1.29896 + 1.68580i) q^{48} +(4.81404 + 2.14335i) q^{49} +(-7.57326 - 3.37183i) q^{50} +(-6.53027 - 0.873118i) q^{51} +(-15.3510 + 13.8221i) q^{52} +(-2.46224 + 3.38898i) q^{53} +(3.53023 - 11.6586i) q^{54} +(-7.34360 + 6.32218i) q^{55} +(-3.99457 - 2.30627i) q^{56} +(2.45633 + 4.54581i) q^{57} +(-10.0973 + 2.14625i) q^{58} +(10.4314 + 9.39248i) q^{59} +(5.93870 - 16.6636i) q^{60} +(9.76570 - 1.02642i) q^{61} +(-1.86787 - 5.74871i) q^{62} +(3.89521 + 0.633044i) q^{63} +(9.82561 + 7.13872i) q^{64} +(8.63232 - 14.9516i) q^{65} +(-9.54086 - 9.50429i) q^{66} +(1.89207 + 3.27716i) q^{67} +(1.38993 - 13.2243i) q^{68} +(-0.142600 - 0.0345394i) q^{69} +(8.81295 + 1.87325i) q^{70} +(-2.61027 - 3.59273i) q^{71} +(10.1499 + 2.76354i) q^{72} +(8.30569 - 2.69868i) q^{73} +(-10.7508 - 11.9400i) q^{74} +(-0.172670 + 6.12248i) q^{75} +(-9.03125 + 5.21419i) q^{76} +(2.64228 - 3.47168i) q^{77} +(21.6356 + 10.3732i) q^{78} +(-2.26254 - 5.08174i) q^{79} +(3.41421 + 1.10934i) q^{80} +(-8.95799 + 0.868579i) q^{81} +(-8.57291 + 6.22858i) q^{82} +(0.131905 + 1.25499i) q^{83} +(-1.05552 + 7.89447i) q^{84} +(2.31063 + 10.8706i) q^{85} +(-7.89234 - 0.829519i) q^{86} +(4.30726 + 6.29424i) q^{87} +(7.97204 - 8.46726i) q^{88} +13.6071i q^{89} +(-20.5239 + 0.992685i) q^{90} +(-2.40203 + 7.39268i) q^{91} +(0.0615683 - 0.289656i) q^{92} +(-3.40175 + 2.89354i) q^{93} +(4.53068 - 10.1761i) q^{94} +(5.83206 - 6.47716i) q^{95} +(1.68493 - 6.95646i) q^{96} +(-12.5821 + 5.60189i) q^{97} +12.3536 q^{98} +(-3.80853 + 9.19212i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) $ 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	2.14162	−	0.953512i	1.51436	−	0.674235i	0.529612	−	0.848240i	$-0.322338\pi$
$2$	2.14162	−	0.953512i	1.51436	−	0.674235i	0.984745	+	0.174005i	$0.0556709\pi$
$3$	−1.25398	−	1.19479i	−0.723986	−	0.689815i
$3$	−1.25398	−	1.19479i	−0.723986	−	0.689815i
$4$	2.33911	−	2.59784i	1.16955	−	1.29892i
$5$	−1.18835	+	2.66909i	−0.531448	+	1.19365i	0.425914	+	0.904764i	$0.359953\pi$
$5$	−1.18835	+	2.66909i	−0.531448	+	1.19365i	−0.957363	+	0.288889i	$0.906714\pi$
$6$	−3.82481	−	1.36311i	−1.56147	−	0.556489i
$7$	0.273495	−	1.28669i	0.103372	−	0.486325i	−0.895755	−	0.444547i	$-0.853365\pi$
$7$	0.273495	−	1.28669i	0.103372	−	0.486325i	0.999127	−	0.0417775i	$-0.0133021\pi$
$8$	1.08356	−	3.33484i	0.383095	−	1.17904i
$9$	0.144932	+	2.99650i	0.0483108	+	0.998832i
$10$			6.84930i			2.16594i
$11$	2.99913	+	1.41605i	0.904272	+	0.426956i
$11$	2.99913	+	1.41605i	0.904272	+	0.426956i
$12$	−6.03708	+	0.462889i	−1.74275	+	0.133625i
$13$	−5.87678	−	0.617674i	−1.62992	−	0.171312i	−0.755052	−	0.655665i	$-0.772388\pi$
$13$	−5.87678	−	0.617674i	−1.62992	−	0.171312i	−0.874873	+	0.484353i	$0.839055\pi$
$14$	−0.641155	−	3.01640i	−0.171356	−	0.806166i
$15$	4.67919	−	1.92714i	1.20816	−	0.497587i
$16$	−0.128435	−	1.22198i	−0.0321089	−	0.305495i
$17$	3.07734	−	2.23582i	0.746365	−	0.542266i	−0.148333	−	0.988938i	$-0.547391\pi$
$17$	3.07734	−	2.23582i	0.746365	−	0.542266i	0.894698	+	0.446671i	$0.147391\pi$
$18$	3.16759	+	6.27917i	0.746608	+	1.48002i
$19$	−2.83716	−	0.921851i	−0.650890	−	0.211487i	−0.0350836	−	0.999384i	$-0.511170\pi$
$19$	−2.83716	−	0.921851i	−0.650890	−	0.211487i	−0.615807	+	0.787897i	$0.711170\pi$
$20$	4.15418	+	9.33044i	0.928902	+	2.08635i
$21$	−1.88029	+	1.28672i	−0.410314	+	0.280785i
$22$	7.77324	+	0.172942i	1.65726	+	0.0368713i
$23$	0.0733618	−	0.0423554i	0.0152970	−	0.00883172i	−0.492332	−	0.870407i	$-0.663855\pi$
$23$	0.0733618	−	0.0423554i	0.0152970	−	0.00883172i	0.507629	+	0.861576i	$0.330522\pi$
$24$	−5.34321	+	2.88720i	−1.09068	+	0.589347i
$25$	−2.36619	−	2.62792i	−0.473239	−	0.525585i
$26$	−13.1748	+	4.28075i	−2.58379	+	0.839525i
$27$	3.39846	−	3.93071i	0.654033	−	0.756466i
$28$	−2.70289	−	3.72021i	−0.510799	−	0.703054i
$29$	−4.30718	−	0.915520i	−0.799824	−	0.170008i	−0.210171	−	0.977665i	$-0.567402\pi$
$29$	−4.30718	−	0.915520i	−0.799824	−	0.170008i	−0.589653	+	0.807657i	$0.700735\pi$
$30$	8.18350	−	8.58888i	1.49410	−	1.56811i
$31$	0.269516	−	2.56428i	0.0484066	−	0.460558i	−0.943291	−	0.331967i	$-0.892288\pi$
$31$	0.269516	−	2.56428i	0.0484066	−	0.460558i	0.991698	−	0.128591i	$-0.0410455\pi$
$32$	2.06622	+	3.57881i	0.365260	+	0.632649i
$33$	−2.06896	−	5.35905i	−0.360160	−	0.932891i
$34$	4.45863	−	7.72257i	0.764649	−	1.32441i
$35$	3.10929	+	2.25903i	0.525566	+	0.381846i
$36$	8.12343	+	6.63261i	1.35391	+	1.10544i
$37$	−2.11787	−	6.51815i	−0.348176	−	1.07158i	−0.959861	−	0.280475i	$-0.909508\pi$
$37$	−2.11787	−	6.51815i	−0.348176	−	1.07158i	0.611685	−	0.791102i	$-0.290492\pi$
$38$	−6.95514	+	0.731014i	−1.12827	+	0.118586i
$39$	6.63137	+	7.79609i	1.06187	+	1.24837i
$40$	7.61334	+	6.85508i	1.20377	+	1.08388i
$41$	−4.42142	+	0.939802i	−0.690510	+	0.146772i	−0.539785	−	0.841803i	$-0.681494\pi$
$41$	−4.42142	+	0.939802i	−0.690510	+	0.146772i	−0.150726	+	0.988576i	$0.548161\pi$
$42$	−2.79998	+	4.54855i	−0.432046	+	0.701856i
$43$	−2.93163	−	1.69258i	−0.447069	−	0.258116i	0.259522	−	0.965737i	$-0.416435\pi$
$43$	−2.93163	−	1.69258i	−0.447069	−	0.258116i	−0.706592	+	0.707621i	$0.749768\pi$
$44$	10.6940	−	4.47897i	1.61218	−	0.675230i
$45$	−8.17015	−	3.17406i	−1.21793	−	0.473162i
$46$	0.116727	−	0.160661i	0.0172104	−	0.0236881i
$47$	3.53111	−	3.17942i	0.515065	−	0.463766i	−0.370135	−	0.928978i	$-0.620688\pi$
$47$	3.53111	−	3.17942i	0.515065	−	0.463766i	0.885199	+	0.465212i	$0.154022\pi$
$48$	−1.29896	+	1.68580i	−0.187489	+	0.243324i
$49$	4.81404	+	2.14335i	0.687719	+	0.306192i
$50$	−7.57326	−	3.37183i	−1.07102	−	0.476849i
$51$	−6.53027	−	0.873118i	−0.914421	−	0.122261i
$52$	−15.3510	+	13.8221i	−2.12880	+	1.91678i
$53$	−2.46224	+	3.38898i	−0.338215	+	0.465512i	−0.943919	−	0.330177i	$-0.892891\pi$
$53$	−2.46224	+	3.38898i	−0.338215	+	0.465512i	0.605704	+	0.795690i	$0.292891\pi$
$54$	3.53023	−	11.6586i	0.480404	−	1.58653i
$55$	−7.34360	+	6.32218i	−0.990211	+	0.852482i
$56$	−3.99457	−	2.30627i	−0.533797	−	0.308188i
$57$	2.45633	+	4.54581i	0.325348	+	0.602107i
$58$	−10.0973	+	2.14625i	−1.32584	+	0.281817i
$59$	10.4314	+	9.39248i	1.35805	+	1.22280i	0.950923	+	0.309428i	$0.100137\pi$
$59$	10.4314	+	9.39248i	1.35805	+	1.22280i	0.407131	+	0.913370i	$0.366529\pi$
$60$	5.93870	−	16.6636i	0.766683	−	2.15126i
$61$	9.76570	−	1.02642i	1.25037	−	0.131419i	0.543893	−	0.839155i	$-0.316950\pi$
$61$	9.76570	−	1.02642i	1.25037	−	0.131419i	0.706478	+	0.707735i	$0.250283\pi$
$62$	−1.86787	−	5.74871i	−0.237219	−	0.730086i
$63$	3.89521	+	0.633044i	0.490751	+	0.0797561i
$64$	9.82561	+	7.13872i	1.22820	+	0.892340i
$65$	8.63232	−	14.9516i	1.07071	−	1.85452i
$66$	−9.54086	−	9.50429i	−1.17440	−	1.16990i
$67$	1.89207	+	3.27716i	0.231153	+	0.400369i	0.958148	−	0.286274i	$-0.0924168\pi$
$67$	1.89207	+	3.27716i	0.231153	+	0.400369i	−0.726995	+	0.686643i	$0.759083\pi$
$68$	1.38993	−	13.2243i	0.168553	−	1.60368i
$69$	−0.142600	−	0.0345394i	−0.0171671	−	0.00415805i
$70$	8.81295	+	1.87325i	1.05335	+	0.223896i
$71$	−2.61027	−	3.59273i	−0.309782	−	0.426379i	0.625531	−	0.780199i	$-0.284882\pi$
$71$	−2.61027	−	3.59273i	−0.309782	−	0.426379i	−0.935313	+	0.353821i	$0.884882\pi$
$72$	10.1499	+	2.76354i	1.19618	+	0.325687i
$73$	8.30569	−	2.69868i	0.972108	−	0.315857i	0.220441	−	0.975400i	$-0.429250\pi$
$73$	8.30569	−	2.69868i	0.972108	−	0.315857i	0.751667	+	0.659543i	$0.229250\pi$
$74$	−10.7508	−	11.9400i	−1.24976	−	1.38800i
$75$	−0.172670	+	6.12248i	−0.0199382	+	0.706963i
$76$	−9.03125	+	5.21419i	−1.03596	+	0.598109i
$77$	2.64228	−	3.47168i	0.301115	−	0.395635i
$78$	21.6356	+	10.3732i	2.44975	+	1.17453i
$79$	−2.26254	−	5.08174i	−0.254555	−	0.571740i	0.740388	−	0.672180i	$-0.234642\pi$
$79$	−2.26254	−	5.08174i	−0.254555	−	0.571740i	−0.994943	+	0.100439i	$0.967975\pi$
$80$	3.41421	+	1.10934i	0.381720	+	0.124028i
$81$	−8.95799	+	0.868579i	−0.995332	+	0.0965088i
$82$	−8.57291	+	6.22858i	−0.946719	+	0.687832i
$83$	0.131905	+	1.25499i	0.0144784	+	0.137753i	0.999373	−	0.0354010i	$-0.0112708\pi$
$83$	0.131905	+	1.25499i	0.0144784	+	0.137753i	−0.984895	+	0.173154i	$0.944604\pi$
$84$	−1.05552	+	7.89447i	−0.115166	+	0.861357i
$85$	2.31063	+	10.8706i	0.250623	+	1.17909i
$86$	−7.89234	−	0.829519i	−0.851053	−	0.0894493i
$87$	4.30726	+	6.29424i	0.461787	+	0.674813i
$88$	7.97204	−	8.46726i	0.849822	−	0.902613i
$89$			13.6071i			1.44234i	0.692756	+	0.721172i	$0.256396\pi$
$89$			13.6071i			1.44234i	−0.692756	+	0.721172i	$0.743604\pi$
$90$	−20.5239	+	0.992685i	−2.16341	+	0.104638i
$91$	−2.40203	+	7.39268i	−0.251801	+	0.774964i
$92$	0.0615683	−	0.289656i	0.00641894	−	0.0301987i
$93$	−3.40175	+	2.89354i	−0.352745	+	0.300046i
$94$	4.53068	−	10.1761i	0.467304	−	1.04958i
$95$	5.83206	−	6.47716i	0.598357	−	0.664542i
$96$	1.68493	−	6.95646i	0.171968	−	0.709991i
$97$	−12.5821	+	5.60189i	−1.27751	+	0.568786i	−0.929541	−	0.368718i	$-0.879797\pi$
$97$	−12.5821	+	5.60189i	−1.27751	+	0.568786i	−0.347973	+	0.937504i	$0.613130\pi$
$98$	12.3536			1.24790
$99$	−3.80853	+	9.19212i	−0.382771	+	0.923843i
$100$	−12.3617			−1.23617
$101$	−11.4215	+	5.08518i	−1.13648	+	0.505994i	−0.886717	−	0.462312i	$-0.847020\pi$
$101$	−11.4215	+	5.08518i	−1.13648	+	0.505994i	−0.249765	+	0.968307i	$0.580353\pi$
$102$	−14.8179	+	4.35681i	−1.46719	+	0.431388i
$103$	4.00544	−	4.44849i	0.394668	−	0.438323i	−0.512759	−	0.858532i	$-0.671377\pi$
$103$	4.00544	−	4.44849i	0.394668	−	0.438323i	0.907427	+	0.420209i	$0.138043\pi$
$104$	−8.42766	+	18.9288i	−0.826400	+	1.85612i
$105$	−1.19991	−	6.54775i	−0.117099	−	0.638995i
$106$	−2.04175	+	9.60570i	−0.198313	+	0.932988i
$107$	0.951472	−	2.92833i	0.0919823	−	0.283092i	−0.894473	−	0.447122i	$-0.852449\pi$
$107$	0.951472	−	2.92833i	0.0919823	−	0.283092i	0.986455	+	0.164029i	$0.0524491\pi$
$108$	−2.26201	−	18.0230i	−0.217662	−	1.73426i
$109$		−	9.98777i		−	0.956655i	−0.878181	−	0.478328i	$-0.841243\pi$
$109$		−	9.98777i		−	0.956655i	0.878181	−	0.478328i	$-0.158757\pi$
$110$	−9.69896	+	20.5419i	−0.924760	+	1.95860i
$111$	−5.13207	+	10.7041i	−0.487115	+	1.01598i
$112$	−1.60744	−	0.168949i	−0.151889	−	0.0159642i
$113$	0.980147	+	4.61123i	0.0922045	+	0.433788i	0.999900	+	0.0141581i	$0.00450680\pi$
$113$	0.980147	+	4.61123i	0.0922045	+	0.433788i	−0.907695	+	0.419630i	$0.862160\pi$
$114$	9.59501	+	7.39328i	0.898655	+	0.692444i
$115$	0.0258706	+	0.246142i	0.00241245	+	0.0229529i
$116$	−12.4533	+	9.04787i	−1.15626	+	0.840074i
$117$	0.999123	−	17.6993i	0.0923690	−	1.63630i
$118$	31.2960	+	10.1687i	2.88103	+	0.936104i
$119$	−2.03518	−	4.57109i	−0.186565	−	0.419031i
$120$	−1.35656	−	17.6925i	−0.123837	−	1.61510i
$121$	6.98959	+	8.49386i	0.635417	+	0.772169i
$122$	19.9358	−	11.5099i	1.80490	−	1.04206i
$123$	6.66725	+	4.10420i	0.601165	+	0.370063i
$124$	−6.03116	−	6.69828i	−0.541614	−	0.601523i
$125$	−4.06738	+	1.32157i	−0.363797	+	0.118205i
$126$	8.94570	−	2.35839i	0.796946	−	0.210102i
$127$	−1.75209	−	2.41154i	−0.155473	−	0.213990i	0.724174	−	0.689617i	$-0.242221\pi$
$127$	−1.75209	−	2.41154i	−0.155473	−	0.213990i	−0.879647	+	0.475627i	$0.842221\pi$
$128$	19.7653	+	4.20125i	1.74703	+	0.371342i
$129$	1.65392	+	5.62515i	0.145620	+	0.495267i
$130$	4.23063	−	40.2518i	0.371051	−	3.53031i
$131$	3.89251	+	6.74202i	0.340090	+	0.589053i	0.984449	−	0.175670i	$-0.0562092\pi$
$131$	3.89251	+	6.74202i	0.340090	+	0.589053i	−0.644359	+	0.764723i	$0.722876\pi$
$132$	−18.7615	−	7.16055i	−1.63298	−	0.623246i
$133$	−1.96209	+	3.39844i	−0.170135	+	0.294682i
$134$	7.17692	+	5.21434i	0.619991	+	0.450450i
$135$	6.45285	+	13.7419i	0.555373	+	1.18271i
$136$	−4.12163	−	12.6851i	−0.353427	−	1.08774i
$137$	−6.24749	+	0.656638i	−0.533759	+	0.0561004i	−0.367574	−	0.929994i	$-0.619812\pi$
$137$	−6.24749	+	0.656638i	−0.533759	+	0.0561004i	−0.166185	+	0.986095i	$0.553145\pi$
$138$	−0.338330	+	0.0620008i	−0.0288005	+	0.00527786i
$139$	−0.389804	−	0.350981i	−0.0330628	−	0.0297699i	0.652434	−	0.757846i	$-0.273748\pi$
$139$	−0.389804	−	0.350981i	−0.0330628	−	0.0297699i	−0.685496	+	0.728076i	$0.740415\pi$
$140$	13.1416	−	2.79333i	1.11067	−	0.236079i
$141$	−8.22669	−	0.232014i	−0.692813	−	0.0195391i
$142$	−9.01593	−	5.20535i	−0.756600	−	0.436823i
$143$	−16.7506	−	10.1743i	−1.40075	−	0.850819i
$144$	3.64305	−	0.561961i	0.303588	−	0.0468301i
$145$	7.56206	−	10.4083i	0.627995	−	0.864361i
$146$	15.2144	−	13.6991i	1.25916	−	1.13375i
$147$	−3.47585	−	8.43950i	−0.286683	−	0.696078i
$148$	−21.8870	−	9.74474i	−1.79910	−	0.801013i
$149$	−8.78506	−	3.91136i	−0.719700	−	0.320431i	0.0140024	−	0.999902i	$-0.495543\pi$
$149$	−8.78506	−	3.91136i	−0.719700	−	0.320431i	−0.733703	+	0.679471i	$0.762209\pi$
$150$	5.46807	+	13.2767i	0.446466	+	1.08404i
$151$	7.43581	−	6.69523i	0.605118	−	0.544850i	−0.308604	−	0.951191i	$-0.599862\pi$
$151$	7.43581	−	6.69523i	0.605118	−	0.544850i	0.913722	+	0.406340i	$0.133195\pi$
$152$	−6.14845	+	8.46262i	−0.498705	+	0.686409i
$153$	7.14564	+	8.89721i	0.577690	+	0.719297i
$154$	2.34847	−	9.95448i	0.189245	−	0.802155i
$155$	6.52400	+	3.76663i	0.524021	+	0.302543i
$156$	35.7645	+	1.00865i	2.86345	+	0.0807566i
$157$	−3.20990	+	0.682286i	−0.256178	+	0.0544524i	−0.334210	−	0.942498i	$-0.608470\pi$
$157$	−3.20990	+	0.682286i	−0.256178	+	0.0544524i	0.0780322	+	0.996951i	$0.475136\pi$
$158$	−9.69100	−	8.72582i	−0.770975	−	0.694189i
$159$	7.13673	−	1.30785i	0.565980	−	0.103719i
$160$	−12.0076	+	1.26205i	−0.949281	+	0.0997734i
$161$	−0.0344344	−	0.105978i	−0.00271381	−	0.00835225i
$162$	−18.3564	+	10.4017i	−1.44222	+	0.817237i
$163$	−7.00394	−	5.08866i	−0.548591	−	0.398575i	0.278675	−	0.960386i	$-0.410105\pi$
$163$	−7.00394	−	5.08866i	−0.548591	−	0.398575i	−0.827266	+	0.561811i	$0.810105\pi$
$164$	−7.90072	+	13.6844i	−0.616942	+	1.06858i
$165$	16.7624	+	0.846211i	1.30495	+	0.0658774i
$166$	1.47914	+	2.56194i	0.114803	+	0.198845i
$167$	2.07396	−	19.7324i	0.160488	−	1.52694i	−0.557084	−	0.830456i	$-0.688080\pi$
$167$	2.07396	−	19.7324i	0.160488	−	1.52694i	0.717572	−	0.696484i	$-0.245253\pi$
$168$	2.25360	+	7.66471i	0.173869	+	0.591345i
$169$	21.4391	+	4.55701i	1.64916	+	0.350540i
$170$	15.3138	+	21.0776i	1.17451	+	1.61658i
$171$	2.35113	−	8.63516i	0.179795	−	0.660347i
$172$	−11.2544	+	3.65679i	−0.858143	+	0.278828i
$173$	4.67277	+	5.18963i	0.355264	+	0.394561i	0.894113	−	0.447842i	$-0.147807\pi$
$173$	4.67277	+	5.18963i	0.355264	+	0.394561i	−0.538849	+	0.842402i	$0.681141\pi$
$174$	15.2262	+	9.37287i	1.15429	+	0.710555i
$175$	−4.02848	+	2.32584i	−0.304524	+	0.175817i
$176$	1.34520	−	3.84676i	0.101398	−	0.289960i
$177$	−1.85869	−	24.2414i	−0.139708	−	1.82209i
$178$	12.9745	+	29.1412i	0.972479	+	2.18422i
$179$	−14.8154	−	4.81380i	−1.10735	−	0.359800i	−0.302424	−	0.953173i	$-0.597796\pi$
$179$	−14.8154	−	4.81380i	−1.10735	−	0.359800i	−0.804928	+	0.593373i	$0.797796\pi$
$180$	−27.3566	+	13.8003i	−2.03904	+	1.02861i
$181$	−13.0927	+	9.51241i	−0.973173	+	0.707052i	−0.956173	−	0.292804i	$-0.905412\pi$
$181$	−13.0927	+	9.51241i	−0.973173	+	0.707052i	−0.0170005	+	0.999855i	$0.505412\pi$
$182$	1.90477	+	18.1227i	0.141191	+	1.34334i
$183$	−13.4724	−	10.3809i	−0.995905	−	0.767378i
$184$	−0.0617571	−	0.290544i	−0.00455279	−	0.0214192i
$185$	19.9143	+	2.09308i	1.46413	+	0.153886i
$186$	−4.52625	+	9.44048i	−0.331881	+	0.692210i
$187$	12.3954	−	2.34784i	0.906441	−	0.171691i
$188$		−	16.6103i		−	1.21143i
$189$	−4.12816	−	5.44780i	−0.300280	−	0.396269i
$190$	6.31403	−	19.4326i	0.458068	−	1.40979i
$191$	3.06051	−	14.3986i	0.221451	−	1.04184i	−0.717171	−	0.696897i	$-0.754564\pi$
$191$	3.06051	−	14.3986i	0.221451	−	1.04184i	0.938622	−	0.344947i	$-0.112103\pi$
$192$	−3.79181	−	20.6914i	−0.273650	−	1.49327i
$193$	2.78690	−	6.25948i	0.200606	−	0.450567i	−0.785029	−	0.619459i	$-0.787352\pi$
$193$	2.78690	−	6.25948i	0.200606	−	0.450567i	0.985635	+	0.168891i	$0.0540187\pi$
$194$	−21.6046	+	23.9943i	−1.55112	+	1.72269i
$195$	−28.6889	+	8.43519i	−2.05445	+	0.604056i
$196$	16.8286	−	7.49258i	1.20204	−	0.535184i
$197$	8.81639			0.628141			0.314071	−	0.949400i	$-0.398307\pi$
$197$	8.81639			0.628141			0.314071	+	0.949400i	$0.398307\pi$
$198$	0.608375	+	23.3175i	0.0432353	+	1.65711i
$199$	8.40540			0.595843			0.297921	−	0.954590i	$-0.403707\pi$
$199$	8.40540			0.595843			0.297921	+	0.954590i	$0.403707\pi$
$200$	−11.3276	+	5.04338i	−0.800983	+	0.356621i
$201$	1.54292	−	6.37013i	0.108829	−	0.449314i
$202$	−19.6118	+	21.7811i	−1.37988	+	1.53251i
$203$	−2.35599	+	5.29164i	−0.165358	+	0.371400i
$204$	−17.5432	+	14.9223i	−1.22827	+	1.04477i
$205$	2.74580	−	12.9180i	0.191775	−	0.902231i
$206$	4.33646	−	13.3462i	0.302135	−	0.929877i
$207$	0.137550	+	0.213690i	0.00956042	+	0.0148525i
$208$			7.26065i			0.503435i
$209$	−7.20364	−	6.78233i	−0.498286	−	0.469143i
$210$	−8.81311	−	12.8787i	−0.608163	−	0.888713i
$211$	−17.3243	−	1.82086i	−1.19265	−	0.125353i	−0.512674	−	0.858583i	$-0.671345\pi$
$211$	−17.3243	−	1.82086i	−1.19265	−	0.125353i	−0.679980	+	0.733230i	$0.738012\pi$
$212$	3.04459	+	14.3237i	0.209104	+	0.983755i
$213$	−1.01935	+	7.62395i	−0.0698444	+	0.522384i
$214$	−0.754504	−	7.17862i	−0.0515768	−	0.490721i
$215$	8.00146	−	5.81340i	0.545695	−	0.396471i
$216$	−9.42589	−	15.5925i	−0.641350	−	1.06093i
$217$	−3.22573	−	1.04810i	−0.218977	−	0.0711499i
$218$	−9.52347	−	21.3901i	−0.645011	−	1.44872i
$219$	−13.6395	−	6.53950i	−0.921675	−	0.441899i
$220$	−0.753457	+	33.8658i	−0.0507981	+	2.28323i
$221$	−19.4659	+	11.2386i	−1.30942	+	0.755992i
$222$	−0.784526	+	27.8176i	−0.0526539	+	1.86699i
$223$	11.4680	+	12.7365i	0.767953	+	0.852899i	0.992586	−	0.121545i	$-0.0387848\pi$
$223$	11.4680	+	12.7365i	0.767953	+	0.852899i	−0.224633	+	0.974444i	$0.572118\pi$
$224$	5.16993	−	1.67981i	0.345431	−	0.112237i
$225$	7.53163	−	7.47116i	0.502109	−	0.498078i
$226$	6.49597	+	8.94094i	0.432106	+	0.594742i
$227$	16.9143	+	3.59525i	1.12264	+	0.238625i	0.731591	−	0.681744i	$-0.238778\pi$
$227$	16.9143	+	3.59525i	1.12264	+	0.238625i	0.391051	+	0.920369i	$0.372112\pi$
$228$	17.5549	+	4.25199i	1.16260	+	0.281595i
$229$	−1.65196	+	15.7173i	−0.109164	+	1.03863i	0.793584	+	0.608461i	$0.208213\pi$
$229$	−1.65196	+	15.7173i	−0.109164	+	1.03863i	−0.902748	+	0.430169i	$0.858454\pi$
$230$	0.290105	+	0.502476i	0.0191290	+	0.0331323i
$231$	−7.46131	+	1.19645i	−0.490918	+	0.0787203i
$232$	−7.72018	+	13.3718i	−0.506855	+	0.877898i
$233$	−2.75423	−	2.00107i	−0.180436	−	0.131094i	0.493901	−	0.869518i	$-0.335570\pi$
$233$	−2.75423	−	2.00107i	−0.180436	−	0.131094i	−0.674337	+	0.738424i	$0.735570\pi$
$234$	−14.7367	−	38.8578i	−0.963370	−	2.54022i
$235$	4.28995	+	13.2031i	0.279846	+	0.861276i
$236$	48.8004	−	5.12912i	3.17663	−	0.333878i
$237$	−3.23446	+	9.07567i	−0.210101	+	0.589528i
$238$	−8.71717	−	7.84898i	−0.565051	−	0.508774i
$239$	−5.67923	+	1.20716i	−0.367359	+	0.0780845i	−0.387892	−	0.921705i	$-0.626797\pi$
$239$	−5.67923	+	1.20716i	−0.367359	+	0.0780845i	0.0205337	+	0.999789i	$0.493463\pi$
$240$	−2.95591	−	5.47037i	−0.190803	−	0.353111i
$241$	−2.60691	−	1.50510i	−0.167926	−	0.0969521i	0.413681	−	0.910422i	$-0.364243\pi$
$241$	−2.60691	−	1.50510i	−0.167926	−	0.0969521i	−0.581608	+	0.813470i	$0.697576\pi$
$242$	23.0681	+	11.5260i	1.48287	+	0.740918i
$243$	12.2709	+	9.61378i	0.787179	+	0.616724i
$244$	20.1765	−	27.7706i	1.29167	−	1.77783i
$245$	−11.4416	+	10.3020i	−0.730975	+	0.658173i
$246$	18.1921	+	2.43234i	1.15989	+	0.155081i
$247$	16.1040	+	7.16995i	1.02467	+	0.456213i
$248$	−8.25942	−	3.67733i	−0.524474	−	0.233511i
$249$	1.33405	−	1.73133i	0.0845419	−	0.109719i
$250$	−7.45066	+	6.70860i	−0.471221	+	0.424289i
$251$	9.41803	−	12.9628i	0.594461	−	0.818205i	−0.400726	−	0.916198i	$-0.631242\pi$
$251$	9.41803	−	12.9628i	0.594461	−	0.818205i	0.995187	+	0.0979925i	$0.0312421\pi$
$252$	10.7559	−	8.63839i	0.677556	−	0.544167i
$253$	0.279999	−	0.0231455i	0.0176034	−	0.00145514i
$254$	−6.05175	−	3.49398i	−0.379721	−	0.219232i
$255$	10.0907	−	16.3923i	0.631905	−	1.02653i
$256$	22.5764	−	4.79876i	1.41103	−	0.299923i
$257$	−9.24660	−	8.32568i	−0.576787	−	0.519341i	0.328297	−	0.944575i	$-0.393525\pi$
$257$	−9.24660	−	8.32568i	−0.576787	−	0.519341i	−0.905084	+	0.425233i	$0.860192\pi$
$258$	8.90574	+	10.4699i	0.554447	+	0.651829i
$259$	−8.96609	+	0.942374i	−0.557126	+	0.0585563i
$260$	−18.6500	−	57.3988i	−1.15662	−	3.55972i
$261$	2.11910	−	13.0391i	0.131169	−	0.807103i
$262$	14.7649	+	10.7273i	0.912178	+	0.662736i
$263$	−7.64365	+	13.2392i	−0.471328	+	0.816363i	−0.999462	−	0.0327974i	$-0.989558\pi$
$263$	−7.64365	+	13.2392i	−0.471328	+	0.816363i	0.528134	+	0.849161i	$0.322892\pi$
$264$	−20.1134	+	1.09283i	−1.23789	+	0.0672590i
$265$	−6.11948	−	10.5992i	−0.375917	−	0.651107i
$266$	−0.961605	+	9.14906i	−0.0589598	+	0.560965i
$267$	16.2576	−	17.0630i	0.994951	−	1.04424i
$268$	12.9393	+	2.75033i	0.790393	+	0.168003i
$269$	1.18129	+	1.62591i	0.0720247	+	0.0991335i	0.843509	−	0.537114i	$-0.180486\pi$
$269$	1.18129	+	1.62591i	0.0720247	+	0.0991335i	−0.771485	+	0.636248i	$0.780486\pi$
$270$	26.9226	+	23.2770i	1.63846	+	1.41659i
$271$	−20.2438	+	6.57759i	−1.22972	+	0.399560i	−0.850613	−	0.525792i	$-0.823769\pi$
$271$	−20.2438	+	6.57759i	−1.22972	+	0.399560i	−0.379107	+	0.925353i	$0.623769\pi$
$272$	−3.12737	−	3.47330i	−0.189625	−	0.210600i
$273$	11.8448	−	6.40035i	0.716882	−	0.387367i
$274$	−12.7537	+	7.36333i	−0.770477	+	0.444835i
$275$	−3.37525	−	11.2321i	−0.203535	−	0.677324i
$276$	−0.423285	+	0.289661i	−0.0254788	+	0.0174356i
$277$	10.0411	+	22.5527i	0.603311	+	1.35506i	0.914451	+	0.404696i	$0.132623\pi$
$277$	10.0411	+	22.5527i	0.603311	+	1.35506i	−0.311140	+	0.950364i	$0.600711\pi$
$278$	−1.16948	−	0.379987i	−0.0701407	−	0.0227901i
$279$	7.72291	+	0.435958i	0.462359	+	0.0261001i
$280$	10.9026	−	7.92121i	0.651555	−	0.473383i
$281$	1.36140	+	12.9528i	0.0812140	+	0.772700i	0.957017	+	0.290031i	$0.0936657\pi$
$281$	1.36140	+	12.9528i	0.0812140	+	0.772700i	−0.875803	+	0.482669i	$0.839668\pi$
$282$	−17.8397	+	7.34737i	−1.06234	+	0.437529i
$283$	−4.11013	−	19.3366i	−0.244322	−	1.14944i	−0.913658	−	0.406484i	$-0.866755\pi$
$283$	−4.11013	−	19.3366i	−0.244322	−	1.14944i	0.669336	−	0.742960i	$-0.266579\pi$
$284$	−15.4390	−	1.62271i	−0.916138	−	0.0962900i
$285$	−15.0522	+	1.15412i	−0.891613	+	0.0683639i
$286$	−45.5748	−	5.81767i	−2.69489	−	0.344006i
$287$			5.94605i			0.350984i
$288$	−10.4244	+	6.71012i	−0.614265	+	0.395398i
$289$	−0.782142	+	2.40719i	−0.0460084	+	0.141599i
$290$	6.27066	−	29.5012i	0.368226	−	1.73237i
$291$	22.4708	+	8.00831i	1.31726	+	0.469455i
$292$	12.4171	−	27.8894i	0.726659	−	1.63210i
$293$	−2.96594	+	3.29401i	−0.173272	+	0.192438i	−0.823525	−	0.567279i	$-0.807996\pi$
$293$	−2.96594	+	3.29401i	−0.173272	+	0.192438i	0.650254	+	0.759717i	$0.274663\pi$
$294$	−15.4911	−	14.7600i	−0.903461	−	0.860819i
$295$	−37.4656	+	16.6808i	−2.18133	+	0.971191i
$296$	−24.0318			−1.39682
$297$	15.7585	−	6.97634i	0.914402	−	0.404808i
$298$	−22.5438			−1.30593
$299$	−0.457293	+	0.203600i	−0.0264459	+	0.0117745i
$300$	15.5013	+	14.7697i	0.894970	+	0.852729i
$301$	−2.97962	+	3.30920i	−0.171742	+	0.190739i
$302$	9.54072	−	21.4288i	0.549007	−	1.23309i
$303$	20.3981	+	7.26963i	1.17184	+	0.417629i
$304$	−0.762092	+	3.58536i	−0.0437090	+	0.205635i
$305$	−8.86552	+	27.2853i	−0.507638	+	1.56235i
$306$	23.7869	+	12.2410i	1.35980	+	0.699772i
$307$			11.0942i			0.633182i	0.948562	+	0.316591i	$0.102538\pi$
$307$			11.0942i			0.633182i	−0.948562	+	0.316591i	$0.897462\pi$
$308$	−2.83832	−	14.9848i	−0.161728	−	0.853841i
$309$	−10.3378	+	0.792643i	−0.588096	+	0.0450919i
$310$	17.5635	+	1.84600i	0.997539	+	0.104846i
$311$	1.63132	+	7.67477i	0.0925038	+	0.435196i	0.999889	+	0.0148963i	$0.00474182\pi$
$311$	1.63132	+	7.67477i	0.0925038	+	0.435196i	−0.907385	+	0.420300i	$0.861925\pi$
$312$	33.1842	−	13.6671i	1.87868	−	0.773745i
$313$	−3.38103	−	32.1683i	−0.191107	−	1.81826i	−0.498734	−	0.866755i	$-0.666202\pi$
$313$	−3.38103	−	32.1683i	−0.191107	−	1.81826i	0.307627	−	0.951507i	$-0.400465\pi$
$314$	−6.22384	+	4.52188i	−0.351232	+	0.255185i
$315$	−6.31855	+	9.64439i	−0.356010	+	0.543400i
$316$	−18.4939	−	6.00902i	−1.04036	−	0.338034i
$317$	4.89317	+	10.9902i	0.274828	+	0.617273i	0.997245	−	0.0741845i	$-0.0236354\pi$
$317$	4.89317	+	10.9902i	0.274828	+	0.617273i	−0.722417	+	0.691458i	$0.756969\pi$
$318$	14.0372	−	9.60588i	0.787165	−	0.538671i
$319$	−11.6214	−	8.84496i	−0.650673	−	0.495223i
$320$	−30.7302	+	17.7421i	−1.71787	+	0.991813i
$321$	−4.69188	+	2.53525i	−0.261875	+	0.141504i
$322$	−0.174797	−	0.194132i	−0.00974106	−	0.0108185i
$323$	−10.7920	+	3.50654i	−0.600484	+	0.195109i
$324$	−18.6973	+	25.3031i	−1.03874	+	1.40573i
$325$	12.2824	+	16.9053i	0.681305	+	0.937735i
$326$	−19.8519	−	4.21966i	−1.09950	−	0.233705i
$327$	−11.9333	+	12.5245i	−0.659915	+	0.692605i
$328$	−1.65677	+	15.7631i	−0.0914796	+	0.870370i
$329$	−3.12520	−	5.41301i	−0.172298	−	0.298429i
$330$	36.7057	−	14.1709i	2.02058	−	0.780084i
$331$	15.0373	−	26.0453i	0.826524	−	1.43158i	−0.0742249	−	0.997242i	$-0.523648\pi$
$331$	15.0373	−	26.0453i	0.826524	−	1.43158i	0.900749	−	0.434340i	$-0.143018\pi$
$332$	3.56880	+	2.59289i	0.195863	+	0.142303i
$333$	19.2247	−	7.29090i	1.05351	−	0.399539i
$334$	−14.3735	−	44.2370i	−0.786481	−	2.42054i
$335$	−10.9955	+	1.15567i	−0.600748	+	0.0631411i
$336$	1.81384	+	2.13242i	0.0989532	+	0.116333i
$337$	16.3466	+	14.7186i	0.890459	+	0.801772i	0.980977	−	0.194122i	$-0.0621859\pi$
$337$	16.3466	+	14.7186i	0.890459	+	0.801772i	−0.0905188	+	0.995895i	$0.528853\pi$
$338$	50.2596	−	10.6830i	2.73376	−	0.581079i
$339$	4.28039	−	6.95346i	0.232479	−	0.377660i
$340$	33.6450	+	19.4250i	1.82466	+	1.05347i
$341$	4.43947	−	7.30896i	0.240411	−	0.395802i
$342$	−3.19851	−	20.7351i	−0.172955	−	1.12123i
$343$	9.48682	−	13.0575i	0.512240	−	0.705038i
$344$	−8.82106	+	7.94252i	−0.475600	+	0.428232i
$345$	0.261648	−	0.339568i	0.0140867	−	0.0182817i
$346$	14.9557	+	6.65870i	0.804023	+	0.357974i
$347$	−13.8520	−	6.16730i	−0.743613	−	0.331078i	−0.000280702	−	1.00000i	$-0.500089\pi$
$347$	−13.8520	−	6.16730i	−0.743613	−	0.331078i	−0.743333	+	0.668922i	$0.766756\pi$
$348$	26.4266	+	3.53332i	1.41661	+	0.189406i
$349$	13.9680	−	12.5769i	0.747692	−	0.673225i	−0.204451	−	0.978877i	$-0.565541\pi$
$349$	13.9680	−	12.5769i	0.747692	−	0.673225i	0.952143	+	0.305652i	$0.0988743\pi$
$350$	−6.40977	+	8.82229i	−0.342616	+	0.471571i
$351$	−22.3999	+	21.0008i	−1.19562	+	1.12094i
$352$	1.12910	+	13.6592i	0.0601815	+	0.728037i
$353$	7.65781	+	4.42124i	0.407584	+	0.235319i	0.689751	−	0.724046i	$-0.257720\pi$
$353$	7.65781	+	4.42124i	0.407584	+	0.235319i	−0.282167	+	0.959365i	$0.591053\pi$
$354$	−27.0951	−	50.1436i	−1.44009	−	2.66510i
$355$	12.6912	−	2.69761i	0.673581	−	0.143174i
$356$	35.3490	+	31.8283i	1.87349	+	1.68690i
$357$	−2.90943	+	8.16367i	−0.153984	+	0.432067i
$358$	−36.3189	+	3.81727i	−1.91952	+	0.201749i
$359$	5.57195	+	17.1487i	0.294076	+	0.905074i	0.983530	+	0.180744i	$0.0578507\pi$
$359$	5.57195	+	17.1487i	0.294076	+	0.905074i	−0.689454	+	0.724330i	$0.742149\pi$
$360$	−19.4378	+	23.8069i	−1.02446	+	1.25473i
$361$	−8.17163	−	5.93703i	−0.430086	−	0.312476i
$362$	−18.9695	+	32.8561i	−0.997012	+	1.72688i
$363$	1.38361	−	19.0023i	0.0726204	−	0.997360i
$364$	13.5864	+	23.5324i	0.712122	+	1.23343i
$365$	−2.66709	+	25.3756i	−0.139602	+	1.32822i
$366$	−38.7510	−	9.38593i	−2.02555	−	0.490610i
$367$	−30.6339	−	6.51144i	−1.59908	−	0.339894i	−0.679767	−	0.733428i	$-0.737919\pi$
$367$	−30.6339	−	6.51144i	−1.59908	−	0.339894i	−0.919310	+	0.393534i	$0.871253\pi$
$368$	−0.0611798	−	0.0842068i	−0.00318922	−	0.00438958i
$369$	−3.45692	−	13.1126i	−0.179960	−	0.682613i
$370$	44.6447	−	14.5059i	2.32097	−	0.754128i
$371$	3.68717	+	4.09502i	0.191428	+	0.212603i
$372$	−0.440115	+	15.6055i	−0.0228189	+	0.809107i
$373$	−2.91679	+	1.68401i	−0.151026	+	0.0871948i	−0.573609	−	0.819130i	$-0.694457\pi$
$373$	−2.91679	+	1.68401i	−0.151026	+	0.0871948i	0.422583	+	0.906324i	$0.361124\pi$
$374$	24.3076	−	16.8474i	1.25692	−	0.871156i
$375$	6.67942	+	3.20246i	0.344924	+	0.165374i
$376$	−6.77672	−	15.2208i	−0.349483	−	0.784951i
$377$	24.7469	+	8.04074i	1.27453	+	0.414119i
$378$	−14.0355	−	7.73089i	−0.721909	−	0.397634i
$379$	−19.5313	+	14.1903i	−1.00326	+	0.728908i	−0.962784	−	0.270273i	$-0.912886\pi$
$379$	−19.5313	+	14.1903i	−1.00326	+	0.728908i	−0.0404716	+	0.999181i	$0.512886\pi$
$380$	−3.18482	−	30.3015i	−0.163378	−	1.55444i
$381$	−0.684214	+	5.11741i	−0.0350533	+	0.262173i
$382$	−7.17475	−	33.7546i	−0.367092	−	1.72703i
$383$	−8.99961	−	0.945897i	−0.459859	−	0.0483331i	−0.128233	−	0.991744i	$-0.540930\pi$
$383$	−8.99961	−	0.945897i	−0.459859	−	0.0483331i	−0.331626	+	0.943411i	$0.607597\pi$
$384$	−19.7657	−	28.8838i	−1.00866	−	1.47397i
$385$	6.12627	+	11.1781i	0.312224	+	0.569687i
$386$		−	16.0628i		−	0.817575i
$387$	4.64692	−	9.02993i	0.236216	−	0.459017i
$388$	−14.8779	+	45.7896i	−0.755313	+	2.32461i
$389$	−5.42389	+	25.5174i	−0.275002	+	1.29378i	0.596191	+	0.802842i	$0.296680\pi$
$389$	−5.42389	+	25.5174i	−0.275002	+	1.29378i	−0.871193	+	0.490940i	$0.836653\pi$
$390$	−53.3977	+	45.4202i	−2.70390	+	2.29994i
$391$	0.131060	−	0.294366i	0.00662800	−	0.0148867i
$392$	12.3640	−	13.7316i	0.624476	−	0.693551i
$393$	3.17420	−	13.1051i	0.160117	−	0.661065i
$394$	18.8814	−	8.40653i	0.951230	−	0.423515i
$395$	16.2523			0.817742
$396$	14.9711	+	31.3953i	0.752327	+	1.57767i
$397$	19.8829			0.997896			0.498948	−	0.866632i	$-0.333720\pi$
$397$	19.8829			0.997896			0.498948	+	0.866632i	$0.333720\pi$
$398$	18.0012	−	8.01465i	0.902319	−	0.401738i
$399$	6.52086	−	1.91728i	0.326451	−	0.0959842i
$400$	−2.90737	+	3.22896i	−0.145369	+	0.161448i
$401$	4.04140	−	9.07713i	0.201818	−	0.453290i	−0.784075	−	0.620666i	$-0.786863\pi$
$401$	4.04140	−	9.07713i	0.201818	−	0.453290i	0.985893	+	0.167375i	$0.0535292\pi$
$402$	−2.76965	−	15.1136i	−0.138138	−	0.753799i
$403$	−3.16778	+	14.9032i	−0.157798	+	0.742382i
$404$	−13.5056	+	41.5660i	−0.671929	+	2.06799i
$405$	8.32696	−	24.9418i	0.413770	−	1.23937i
$406$			13.5792i			0.673922i
$407$	2.87825	−	22.5478i	0.142670	−	1.11765i
$408$	−9.98762	+	20.8314i	−0.494461	+	1.03131i
$409$	−0.00153409		0.000161240i	−7.58560e−5		7.97279e-6i	0.104491	−	0.994526i	$-0.466679\pi$
$409$	−0.00153409		0.000161240i	−7.58560e−5		7.97279e-6i	−0.104566	+	0.994518i	$0.533345\pi$
$410$	−6.43698	−	30.2836i	−0.317900	−	1.49560i
$411$	8.61878	+	6.64106i	0.425133	+	0.327579i
$412$	−2.18732	−	20.8110i	−0.107762	−	1.02528i
$413$	14.9382	−	10.8532i	0.735061	−	0.534053i
$414$	0.498337	+	0.326487i	0.0244919	+	0.0160460i
$415$	−3.50643	−	1.13931i	−0.172124	−	0.0559264i
$416$	−9.93220	−	22.3081i	−0.486966	−	1.09374i
$417$	0.0694563	+	0.905860i	0.00340129	+	0.0443601i
$418$	−21.8945	−	7.65643i	−1.07090	−	0.374488i
$419$	13.3723	−	7.72050i	0.653279	−	0.377171i	−0.136432	−	0.990649i	$-0.543564\pi$
$419$	13.3723	−	7.72050i	0.653279	−	0.377171i	0.789711	+	0.613478i	$0.210230\pi$
$420$	−19.8167	−	12.1987i	−0.966957	−	0.595235i
$421$	16.4032	+	18.2176i	0.799444	+	0.887872i	0.995696	−	0.0926811i	$-0.0295437\pi$
$421$	16.4032	+	18.2176i	0.799444	+	0.887872i	−0.196252	+	0.980553i	$0.562877\pi$
$422$	−38.8383	+	12.6193i	−1.89062	+	0.614300i
$423$	10.0389	+	10.1201i	0.488108	+	0.492058i
$424$	8.63374	+	11.8833i	0.419292	+	0.577105i
$425$	−13.1572	−	2.79664i	−0.638216	−	0.135657i
$426$	5.08647	+	17.2996i	0.246440	+	0.838168i
$427$	1.35019	−	12.8462i	0.0653403	−	0.621671i
$428$	−5.38174	−	9.32145i	−0.260136	−	0.450569i
$429$	8.84868	+	32.7719i	0.427218	+	1.58224i
$430$	11.5930	−	20.0796i	0.559062	−	0.968324i
$431$	9.71012	+	7.05482i	0.467720	+	0.339818i	0.796552	−	0.604570i	$-0.206655\pi$
$431$	9.71012	+	7.05482i	0.467720	+	0.339818i	−0.328832	+	0.944388i	$0.606655\pi$
$432$	−5.23974	−	3.64801i	−0.252097	−	0.175515i
$433$	0.277208	+	0.853159i	0.0133218	+	0.0410002i	0.957496	−	0.288445i	$-0.0931383\pi$
$433$	0.277208	+	0.853159i	0.0133218	+	0.0410002i	−0.944175	+	0.329445i	$0.893138\pi$
$434$	−7.90768	+	0.831131i	−0.379581	+	0.0398955i
$435$	−21.9184	+	4.01667i	−1.05091	+	0.192585i
$436$	−25.9466	−	23.3625i	−1.24262	−	1.11886i
$437$	−0.247185	+	0.0525408i	−0.0118245	+	0.00251337i
$438$	−35.4463	−	0.999675i	−1.69369	−	0.0477663i
$439$	−3.76825	−	2.17560i	−0.179849	−	0.103836i	0.407373	−	0.913262i	$-0.366445\pi$
$439$	−3.76825	−	2.17560i	−0.179849	−	0.103836i	−0.587222	+	0.809426i	$0.699778\pi$
$440$	13.1263	+	31.3402i	0.625770	+	1.49408i
$441$	−5.72482	+	14.7359i	−0.272611	+	0.701709i
$442$	−30.9724	+	42.6299i	−1.47321	+	2.02770i
$443$	−28.5708	+	25.7253i	−1.35744	+	1.22225i	−0.406205	+	0.913782i	$0.633148\pi$
$443$	−28.5708	+	25.7253i	−1.35744	+	1.22225i	−0.951236	+	0.308464i	$0.900185\pi$
$444$	15.8030	+	38.3702i	0.749975	+	1.82097i
$445$	−36.3184	−	16.1700i	−1.72166	−	0.766532i
$446$	36.7045	+	16.3419i	1.73801	+	0.773812i
$447$	6.34302	+	15.4011i	0.300014	+	0.728447i
$448$	11.8726	−	10.6901i	0.560928	−	0.505062i
$449$	10.6492	−	14.6573i	0.502566	−	0.691723i	−0.480078	−	0.877226i	$-0.659392\pi$
$449$	10.6492	−	14.6573i	0.502566	−	0.691723i	0.982644	+	0.185503i	$0.0593916\pi$
$450$	9.00607	−	23.1819i	0.424550	−	1.09281i
$451$	−14.5912	−	3.44237i	−0.687075	−	0.162095i
$452$	14.2719	+	8.23989i	0.671294	+	0.387572i
$453$	−17.3238	−	0.488575i	−0.813942	−	0.0229553i
$454$	39.6522	−	8.42834i	1.86097	−	0.395561i
$455$	−16.8773	−	15.1964i	−0.791218	−	0.712416i
$456$	17.8211	−	3.26582i	0.834551	−	0.152936i
$457$	32.0269	−	3.36616i	1.49816	−	0.157462i	0.680320	−	0.732915i	$-0.261841\pi$
$457$	32.0269	−	3.36616i	1.49816	−	0.157462i	0.817835	+	0.575453i	$0.195174\pi$
$458$	11.4488	+	35.2358i	0.534967	+	1.64646i
$459$	1.66985	−	19.6945i	0.0779418	−	0.919260i
$460$	0.699953	+	0.508545i	0.0326355	+	0.0237111i
$461$	19.5476	−	33.8574i	0.910420	−	1.57689i	0.0969489	−	0.995289i	$-0.469092\pi$
$461$	19.5476	−	33.8574i	0.910420	−	1.57689i	0.813471	−	0.581605i	$-0.197575\pi$
$462$	−14.8385	+	9.67679i	−0.690349	+	0.450205i
$463$	8.51825	+	14.7540i	0.395877	+	0.685679i	0.993213	−	0.116313i	$-0.0371074\pi$
$463$	8.51825	+	14.7540i	0.395877	+	0.685679i	−0.597336	+	0.801991i	$0.703774\pi$
$464$	−0.565554	+	5.38088i	−0.0262552	+	0.249801i
$465$	−3.68062	−	12.5181i	−0.170684	−	0.580514i
$466$	−7.80657	−	1.65934i	−0.361633	−	0.0768674i
$467$	−13.3070	−	18.3156i	−0.615776	−	0.847543i	0.381261	−	0.924468i	$-0.375490\pi$
$467$	−13.3070	−	18.3156i	−0.615776	−	0.847543i	−0.997037	+	0.0769242i	$0.975490\pi$
$468$	−43.6428	−	43.9960i	−2.01739	−	2.03372i
$469$	4.73418	−	1.53823i	0.218604	−	0.0710287i
$470$	21.7768	+	24.1856i	1.00449	+	1.11560i
$471$	4.84035	+	2.97960i	0.223031	+	0.137293i
$472$	42.6255	−	24.6098i	1.96200	−	1.13276i
$473$	−6.39557	−	9.22761i	−0.294069	−	0.424286i
$474$	1.72677	+	22.5208i	0.0793130	+	1.03441i
$475$	4.29073	+	9.63713i	0.196872	+	0.442182i
$476$	−16.6355	−	5.40519i	−0.762485	−	0.247746i
$477$	−10.5119	−	6.88692i	−0.481308	−	0.315330i
$478$	−11.0117	+	8.00049i	−0.503665	+	0.365934i
$479$	−1.42153	−	13.5250i	−0.0649513	−	0.617971i	−0.977781	−	0.209630i	$-0.932774\pi$
$479$	−1.42153	−	13.5250i	−0.0649513	−	0.617971i	0.912829	−	0.408341i	$-0.133893\pi$
$480$	16.5651	+	12.7640i	0.756091	+	0.582593i
$481$	8.42019	+	39.6139i	0.383927	+	1.80624i
$482$	−7.01816	−	0.737638i	−0.319668	−	0.0335985i
$483$	−0.0834421	+	0.174037i	−0.00379675	+	0.00791894i
$484$	38.4151	+	1.71019i	1.74614	+	0.0777359i
$485$		−	40.2397i		−	1.82719i
$486$	35.4465	+	8.88862i	1.60789	+	0.403196i
$487$	2.70549	−	8.32664i	0.122597	−	0.377316i	−0.870858	−	0.491534i	$-0.836436\pi$
$487$	2.70549	−	8.32664i	0.122597	−	0.377316i	0.993456	+	0.114218i	$0.0364362\pi$
$488$	7.15875	−	33.6793i	0.324061	−	1.52459i
$489$	2.70290	+	14.7494i	0.122229	+	0.666989i
$490$	−14.6804	+	32.9728i	−0.663194	+	1.48956i
$491$	22.4667	−	24.9518i	1.01391	−	1.12606i	0.0219175	−	0.999760i	$-0.493023\pi$
$491$	22.4667	−	24.9518i	1.01391	−	1.12606i	0.991992	−	0.126301i	$-0.0403105\pi$
$492$	26.2574	−	7.72029i	1.18378	−	0.348057i
$493$	−15.3016	+	6.81272i	−0.689150	+	0.306829i
$494$	41.3253			1.85931
$495$	−20.0087	−	21.0888i	−0.899325	−	0.947871i
$496$	−3.16812			−0.142253
$497$	−5.33664	+	2.37603i	−0.239381	+	0.106579i
$498$	1.20618	−	4.97989i	0.0540504	−	0.223154i
$499$	1.50346	−	1.66976i	0.0673042	−	0.0747489i	−0.708552	−	0.705658i	$-0.750651\pi$
$499$	1.50346	−	1.66976i	0.0673042	−	0.0747489i	0.775857	+	0.630909i	$0.217318\pi$
$500$	−6.08080	+	13.6577i	−0.271942	+	0.610791i
$501$	−26.1769	+	22.2661i	−1.16950	+	0.994776i
$502$	7.80969	−	36.7417i	0.348563	−	1.63986i
$503$	−5.15181	+	15.8556i	−0.229708	+	0.706968i	0.768072	+	0.640364i	$0.221216\pi$
$503$	−5.15181	+	15.8556i	−0.229708	+	0.706968i	−0.997779	+	0.0666040i	$0.978784\pi$
$504$	6.33178	−	12.3040i	0.282040	−	0.548063i
$505$		−	36.5280i		−	1.62547i
$506$	0.577584	−	0.316552i	0.0256767	−	0.0140724i
$507$	−21.4395	−	31.3297i	−0.952160	−	1.39140i
$508$	−10.3631	−	1.08921i	−0.459789	−	0.0483258i
$509$	−2.17684	−	10.2412i	−0.0964869	−	0.453935i	−0.999694	−	0.0247305i	$-0.992127\pi$
$509$	−2.17684	−	10.2412i	−0.0964869	−	0.453935i	0.903207	−	0.429205i	$-0.141206\pi$
$510$	5.98024	−	44.7278i	0.264810	−	1.98058i
$511$	−1.20081	−	11.4250i	−0.0531208	−	0.505411i
$512$	11.0790	−	8.04940i	0.489629	−	0.355737i
$513$	−13.2655	+	8.01921i	−0.585687	+	0.354057i
$514$	−27.7414	−	9.01372i	−1.22362	−	0.397578i
$515$	7.11354	+	15.9773i	0.313460	+	0.704043i
$516$	18.4820	+	8.86120i	0.813623	+	0.390093i
$517$	15.0925	−	4.53528i	0.663767	−	0.199461i
$518$	−18.3034	+	10.5675i	−0.804207	+	0.464309i
$519$	0.340988	−	12.0907i	0.0149677	−	0.530723i
$520$	−40.5077	−	44.9883i	−1.77638	−	1.97287i
$521$	−5.99155	+	1.94677i	−0.262494	+	0.0852896i	−0.437308	−	0.899312i	$-0.644068\pi$
$521$	−5.99155	+	1.94677i	−0.262494	+	0.0852896i	0.174813	+	0.984602i	$0.444068\pi$
$522$	−7.89467	−	29.9455i	−0.345540	−	1.31068i
$523$	−12.7364	−	17.5301i	−0.556923	−	0.766538i	0.434008	−	0.900909i	$-0.357099\pi$
$523$	−12.7364	−	17.5301i	−0.556923	−	0.766538i	−0.990931	+	0.134370i	$0.957099\pi$
$524$	26.6197	+	5.65819i	1.16289	+	0.247179i
$525$	7.83054	+	1.89664i	0.341753	+	0.0827763i
$526$	−3.74609	+	35.6417i	−0.163337	+	1.55405i
$527$	−4.90387	−	8.49375i	−0.213616	−	0.369994i
$528$	−6.28293	+	3.21653i	−0.273430	+	0.139981i
$529$	−11.4964	+	19.9124i	−0.499844	+	0.865755i
$530$	−23.2121	−	16.8646i	−1.00827	−	0.732551i
$531$	−26.6327	+	32.6190i	−1.15576	+	1.41554i
$532$	4.23907	+	13.0465i	0.183787	+	0.565638i
$533$	26.5642	−	2.79201i	1.15062	−	0.120935i
$534$	18.5480	−	52.0443i	0.802649	−	2.25218i
$535$	6.68529	+	6.01946i	0.289030	+	0.260244i
$536$	12.9790	−	2.75877i	0.560606	−	0.119161i
$537$	12.8267	+	23.7377i	0.553511	+	1.02436i
$538$	4.08021	+	2.35571i	0.175910	+	0.101562i
$539$	11.4028	+	13.2451i	0.491155	+	0.570507i
$540$	50.7931	+	15.3802i	2.18579	+	0.661858i
$541$	13.1964	−	18.1633i	0.567357	−	0.780899i	−0.424882	−	0.905249i	$-0.639684\pi$
$541$	13.1964	−	18.1633i	0.567357	−	0.780899i	0.992238	+	0.124349i	$0.0396844\pi$
$542$	−37.0827	+	33.3894i	−1.59284	+	1.43420i
$543$	27.7834	+	3.71472i	1.19230	+	0.159414i
$544$	14.3600	+	6.39351i	0.615682	+	0.274119i
$545$	26.6583	+	11.8690i	1.14191	+	0.508413i
$546$	19.2644	−	25.0013i	0.824439	−	1.06996i
$547$	17.4107	−	15.6767i	0.744430	−	0.670287i	−0.206935	−	0.978355i	$-0.566349\pi$
$547$	17.4107	−	15.6767i	0.744430	−	0.670287i	0.951365	+	0.308067i	$0.0996822\pi$
$548$	−12.9077	+	17.7659i	−0.551390	+	0.758923i
$549$	4.49102	+	29.1141i	0.191672	+	1.24256i
$550$	−17.9385	−	20.8367i	−0.764901	−	0.888480i
$551$	11.3762	+	6.56806i	0.484643	+	0.279809i
$552$	−0.269699	+	0.438124i	−0.0114791	+	0.0186478i
$553$	−7.15744	+	1.52136i	−0.304365	+	0.0646948i
$554$	43.0085	+	38.7251i	1.82726	+	1.64527i
$555$	−22.4713	−	26.4182i	−0.953855	−	1.12139i
$556$	−1.82359	+	0.191667i	−0.0773373	+	0.00812848i
$557$	1.09525	+	3.37084i	0.0464074	+	0.142827i	0.971575	−	0.236731i	$-0.0760760\pi$
$557$	1.09525	+	3.37084i	0.0464074	+	0.142827i	−0.925168	+	0.379558i	$0.876076\pi$
$558$	16.9553	−	6.43023i	0.717774	−	0.272213i
$559$	16.1831	+	11.7577i	0.684471	+	0.497297i
$560$	2.36115	−	4.08964i	0.0997770	−	0.172819i
$561$	−18.3488	−	11.8658i	−0.774686	−	0.500975i
$562$	15.2663	+	26.4419i	0.643968	+	1.11539i
$563$	−1.92867	+	18.3501i	−0.0812837	+	0.773363i	0.875628	+	0.482985i	$0.160448\pi$
$563$	−1.92867	+	18.3501i	−0.0812837	+	0.773363i	−0.956912	+	0.290378i	$0.906219\pi$
$564$	−19.8458	+	20.8289i	−0.835661	+	0.877056i
$565$	−13.4725	−	2.86368i	−0.566794	−	0.120476i
$566$	−27.2401	−	37.4927i	−1.14499	−	1.57594i
$567$	−1.33237	+	11.7637i	−0.0559544	+	0.494031i
$568$	−14.8096	+	4.81192i	−0.621395	+	0.201904i
$569$	−9.58925	−	10.6499i	−0.402002	−	0.446469i	0.507822	−	0.861462i	$-0.330451\pi$
$569$	−9.58925	−	10.6499i	−0.402002	−	0.446469i	−0.909824	+	0.414993i	$0.863784\pi$
$570$	−31.1356	+	16.8241i	−1.30413	+	0.704684i
$571$	34.7935	−	20.0880i	1.45606	−	0.840658i	0.457247	−	0.889340i	$-0.348835\pi$
$571$	34.7935	−	20.0880i	1.45606	−	0.840658i	0.998814	+	0.0486820i	$0.0155021\pi$
$572$	−65.6126	+	19.7165i	−2.74340	+	0.824389i
$573$	−21.0412	+	14.3988i	−0.879007	+	0.601520i
$574$	5.66963	+	12.7342i	0.236646	+	0.531515i
$575$	−0.284895	−	0.0925680i	−0.0118809	−	0.00386035i
$576$	−19.9671	+	30.4770i	−0.831963	+	1.26988i
$577$	24.3026	−	17.6568i	1.01173	−	0.735064i	0.0471580	−	0.998887i	$-0.484984\pi$
$577$	24.3026	−	17.6568i	1.01173	−	0.735064i	0.964571	+	0.263823i	$0.0849836\pi$
$578$	0.620228	+	5.90107i	0.0257981	+	0.245452i
$579$	−10.9735	+	4.51949i	−0.456044	+	0.187824i
$580$	−9.35060	−	43.9911i	−0.388263	−	1.82663i
$581$	1.65086	+	0.173513i	0.0684893	+	0.00719852i
$582$	55.7599	−	4.27536i	2.31132	−	0.177219i
$583$	−12.1836	+	6.67734i	−0.504591	+	0.276547i
$584$		−	30.6223i		−	1.26716i
$585$	46.0536	+	23.6998i	1.90408	+	0.979864i
$586$	−3.21104	+	9.88258i	−0.132647	+	0.408246i
$587$	−2.54166	+	11.9576i	−0.104906	+	0.493542i	0.894055	+	0.447957i	$0.147848\pi$
$587$	−2.54166	+	11.9576i	−0.104906	+	0.493542i	−0.998960	+	0.0455844i	$0.985485\pi$
$588$	−30.0548	−	10.7112i	−1.23944	−	0.441722i
$589$	−3.12854	+	7.02682i	−0.128909	+	0.289535i
$590$	−64.3319	+	71.4478i	−2.64850	+	2.94146i
$591$	−11.0556	−	10.5338i	−0.454765	−	0.433301i
$592$	−7.69305	+	3.42517i	−0.316182	+	0.140773i
$593$	−26.0062			−1.06795			−0.533973	−	0.845502i	$-0.679301\pi$
$593$	−26.0062			−1.06795			−0.533973	+	0.845502i	$0.679301\pi$
$594$	27.0968	−	29.9666i	1.11179	−	1.22955i
$595$	14.6191			0.599327
$596$	−30.7103	+	13.6731i	−1.25794	+	0.560072i
$597$	−10.5402	−	10.0427i	−0.431382	−	0.411021i
$598$	−0.785214	+	0.872068i	−0.0321098	+	0.0356615i
$599$	−6.73721	+	15.1320i	−0.275275	+	0.618277i	−0.997288	−	0.0736024i	$-0.976550\pi$
$599$	−6.73721	+	15.1320i	−0.275275	+	0.618277i	0.722013	+	0.691880i	$0.243217\pi$
$600$	20.2304	+	7.20987i	0.825903	+	0.294342i
$601$	−6.92358	+	32.5729i	−0.282419	+	1.32868i	0.576723	+	0.816940i	$0.304331\pi$
$601$	−6.92358	+	32.5729i	−0.282419	+	1.32868i	−0.859142	+	0.511737i	$0.829002\pi$
$602$	−3.22586	+	9.92816i	−0.131476	+	0.404642i
$603$	−9.54578	+	6.14455i	−0.388734	+	0.250225i
$604$		−	34.9779i		−	1.42323i
$605$	−30.9770	+	8.56212i	−1.25939	+	0.348100i
$606$	50.6167	−	3.88100i	2.05616	−	0.157655i
$607$	−44.3554	−	4.66194i	−1.80033	−	0.189222i	−0.855724	−	0.517433i	$-0.826888\pi$
$607$	−44.3554	−	4.66194i	−1.80033	−	0.189222i	−0.944605	+	0.328211i	$0.893554\pi$
$608$	−2.56309	−	12.0584i	−0.103947	−	0.489033i
$609$	9.27678	−	3.82068i	0.375914	−	0.154822i
$610$	7.03023	+	66.8882i	0.284646	+	2.70822i
$611$	−22.7154	+	16.5037i	−0.918966	+	0.667668i
$612$	39.8279	+	2.24829i	1.60995	+	0.0908816i
$613$	−11.7116	−	3.80532i	−0.473026	−	0.153695i	0.0627963	−	0.998026i	$-0.479998\pi$
$613$	−11.7116	−	3.80532i	−0.473026	−	0.153695i	−0.535822	+	0.844331i	$0.679998\pi$
$614$	10.5785	+	23.7597i	0.426913	+	0.958863i
$615$	−18.8775	+	12.9182i	−0.761215	+	0.520913i
$616$	−8.71446	−	12.5733i	−0.351116	−	0.506594i
$617$	−13.5088	+	7.79934i	−0.543846	+	0.313989i	−0.746636	−	0.665233i	$-0.768332\pi$
$617$	−13.5088	+	7.79934i	−0.543846	+	0.313989i	0.202790	+	0.979222i	$0.434999\pi$
$618$	−21.3838	+	11.5547i	−0.860185	+	0.464800i
$619$	−24.7627	−	27.5018i	−0.995297	−	1.10539i	−0.994431	−	0.105390i	$-0.966391\pi$
$619$	−24.7627	−	27.5018i	−0.995297	−	1.10539i	−0.000866293	−	1.00000i	$-0.500276\pi$
$620$	25.0455	−	8.13776i	1.00585	−	0.326820i
$621$	0.0828297	−	0.432307i	0.00332384	−	0.0173479i
$622$	10.8117	+	14.8810i	0.433508	+	0.596673i
$623$	17.5081	+	3.72147i	0.701448	+	0.149097i
$624$	8.67498	−	9.10471i	0.347277	−	0.364480i
$625$	3.15428	−	30.0109i	0.126171	−	1.20044i
$626$	−37.9138	−	65.6686i	−1.51534	−	2.62465i
$627$	0.929741	+	17.1118i	0.0371303	+	0.683379i
$628$	−5.73584	+	9.93476i	−0.228885	+	0.396440i
$629$	−21.0908	−	15.3234i	−0.840947	−	0.610984i
$630$	−4.33591	+	26.6795i	−0.172747	+	1.06294i
$631$	13.3328	+	41.0343i	0.530772	+	1.63355i	0.752611	+	0.658465i	$0.228794\pi$
$631$	13.3328	+	41.0343i	0.530772	+	1.63355i	−0.221840	+	0.975083i	$0.571206\pi$
$632$	−19.3984	+	2.03885i	−0.771626	+	0.0811012i
$633$	19.5488	+	22.9823i	0.776994	+	0.913464i
$634$	20.9587	+	18.8713i	0.832375	+	0.749474i
$635$	8.51872	−	1.81071i	0.338055	−	0.0718559i
$636$	13.2960	−	21.5993i	0.527221	−	0.856467i
$637$	−26.9671	−	15.5695i	−1.06848	−	0.616885i
$638$	−33.3224	−	7.86144i	−1.31925	−	0.311238i
$639$	10.3873	−	8.34237i	0.410915	−	0.330019i
$640$	−34.7017	+	47.7629i	−1.37171	+	1.88799i
$641$	36.9064	−	33.2307i	1.45771	−	1.31253i	0.598279	−	0.801288i	$-0.295852\pi$
$641$	36.9064	−	33.2307i	1.45771	−	1.31253i	0.859436	−	0.511244i	$-0.170815\pi$
$642$	−7.63085	+	9.90333i	−0.301166	+	0.390853i
$643$	30.3009	+	13.4908i	1.19495	+	0.532027i	0.905164	−	0.425063i	$-0.139748\pi$
$643$	30.3009	+	13.4908i	1.19495	+	0.532027i	0.289789	+	0.957091i	$0.406415\pi$
$644$	−0.355860	−	0.158439i	−0.0140229	−	0.00624338i
$645$	−16.9795	−	2.27021i	−0.668567	−	0.0893894i
$646$	−19.7689	+	17.8000i	−0.777798	+	0.700332i
$647$	25.8770	−	35.6166i	1.01733	−	1.40023i	0.103268	−	0.994654i	$-0.467070\pi$
$647$	25.8770	−	35.6166i	1.01733	−	1.40023i	0.914060	−	0.405578i	$-0.132930\pi$
$648$	−6.80991	+	30.8146i	−0.267518	+	1.21051i
$649$	17.9849	+	42.9407i	0.705970	+	1.68557i
$650$	42.4236	+	24.4933i	1.66399	+	0.960706i
$651$	2.79273	+	5.16838i	0.109456	+	0.202565i
$652$	−29.6025	+	6.29221i	−1.15932	+	0.246422i
$653$	−5.08933	−	4.58246i	−0.199161	−	0.179325i	0.563516	−	0.826105i	$-0.309448\pi$
$653$	−5.08933	−	4.58246i	−0.199161	−	0.179325i	−0.762677	+	0.646780i	$0.776115\pi$
$654$	−13.6145	+	38.2013i	−0.532368	+	1.49379i
$655$	−22.6207	+	2.37753i	−0.883865	+	0.0928980i
$656$	1.71629	+	5.28219i	0.0670098	+	0.206235i
$657$	9.29036	+	24.4969i	0.362451	+	0.955714i
$658$	−11.8544	−	8.61271i	−0.462132	−	0.335759i
$659$	−5.89894	+	10.2173i	−0.229790	+	0.398008i	−0.957746	−	0.287616i	$-0.907137\pi$
$659$	−5.89894	+	10.2173i	−0.229790	+	0.398008i	0.727956	+	0.685624i	$0.240471\pi$
$660$	41.4074	−	41.5668i	1.61178	−	1.61798i
$661$	−22.4153	−	38.8245i	−0.871855	−	1.51010i	−0.860076	−	0.510167i	$-0.829584\pi$
$661$	−22.4153	−	38.8245i	−0.871855	−	1.51010i	−0.0117796	−	0.999931i	$-0.503750\pi$
$662$	7.36965	−	70.1176i	0.286430	−	2.72520i
$663$	37.8377	+	9.16470i	1.46949	+	0.355927i
$664$	4.32812	+	0.919970i	0.167963	+	0.0357017i
$665$	−6.73908	−	9.27555i	−0.261330	−	0.359690i
$666$	34.2200	−	33.9453i	1.32600	−	1.31535i
$667$	−0.354760	+	0.115268i	−0.0137364	+	0.00446321i
$668$	−46.4104	−	51.5440i	−1.79567	−	1.99430i
$669$	0.836860	−	29.6732i	0.0323549	−	1.14723i
$670$	−22.4462	+	12.9593i	−0.867174	+	0.500663i
$671$	30.7421	+	10.7504i	1.18679	+	0.415014i
$672$	−8.49002	−	4.07055i	−0.327510	−	0.157025i
$673$	−15.4591	−	34.7218i	−0.595906	−	1.33843i	−0.919820	−	0.392340i	$-0.871666\pi$
$673$	−15.4591	−	34.7218i	−0.595906	−	1.33843i	0.323914	−	0.946086i	$-0.395001\pi$
$674$	49.0427	+	15.9349i	1.88906	+	0.613791i
$675$	−18.3710	+	0.369942i	−0.707101	+	0.0142391i
$676$	61.9866	−	45.0359i	2.38410	−	1.73215i
$677$	−2.80398	−	26.6781i	−0.107766	−	1.02532i	−0.906088	−	0.423090i	$-0.860945\pi$
$677$	−2.80398	−	26.6781i	−0.107766	−	1.02532i	0.798322	−	0.602231i	$-0.205721\pi$
$678$	2.53676	−	18.9731i	0.0974238	−	0.728658i
$679$	3.76679	+	17.7214i	0.144556	+	0.680083i
$680$	38.7556	+	4.07338i	1.48621	+	0.156207i
$681$	−16.9146	−	24.7175i	−0.648170	−	0.947176i
$682$	2.53849	−	19.8861i	0.0972036	−	0.761479i
$683$			4.41371i			0.168886i	0.996428	+	0.0844429i	$0.0269111\pi$
$683$			4.41371i			0.168886i	−0.996428	+	0.0844429i	$0.973089\pi$
$684$	−16.9332	−	26.3064i	−0.647459	−	1.00585i
$685$	5.67161	−	17.4554i	0.216701	−	0.666938i
$686$	7.86673	−	37.0100i	0.300353	−	1.41305i
$687$	20.8505	−	17.7355i	0.795496	−	0.676650i
$688$	−1.69177	+	3.79979i	−0.0644983	+	0.144866i
$689$	16.5633	−	18.3954i	0.631012	−	0.700810i
$690$	0.236570	−	0.976711i	0.00900608	−	0.0371828i
$691$	15.1260	−	6.73452i	0.575420	−	0.256193i	−0.0983290	−	0.995154i	$-0.531350\pi$
$691$	15.1260	−	6.73452i	0.575420	−	0.256193i	0.673749	+	0.738961i	$0.264683\pi$
$692$	24.4119			0.928003
$693$	10.7858	+	7.41441i	0.409720	+	0.281650i
$694$	−35.5463			−1.34932
$695$	1.40003	−	0.623332i	0.0531060	−	0.0236443i
$696$	25.6575	−	7.54388i	0.972543	−	0.285950i
$697$	−11.5050	+	12.7776i	−0.435783	+	0.483986i
$698$	17.9221	−	40.2537i	0.678361	−	1.52362i
$699$	1.06289	+	5.80004i	0.0402022	+	0.219378i
$700$	−3.38087	+	15.9057i	−0.127785	+	0.601180i
$701$	3.17601	−	9.77475i	0.119956	−	0.369187i	−0.872992	−	0.487734i	$-0.837824\pi$
$701$	3.17601	−	9.77475i	0.119956	−	0.369187i	0.992948	+	0.118547i	$0.0378236\pi$
$702$	−27.9476	+	66.3343i	−1.05481	+	2.50363i
$703$			20.4454i			0.771114i
$704$	19.3595	+	35.3236i	0.729639	+	1.33131i
$705$	10.3955	−	21.6821i	0.391517	−	0.816594i
$706$	20.6159	+	2.16681i	0.775888	+	0.0815491i
$707$	3.41934	+	16.0867i	0.128598	+	0.605004i
$708$	−67.3229	−	51.8746i	−2.53015	−	1.94957i
$709$	5.03050	+	47.8620i	0.188924	+	1.79749i	0.520288	+	0.853991i	$0.325825\pi$
$709$	5.03050	+	47.8620i	0.188924	+	1.79749i	−0.331363	+	0.943503i	$0.607509\pi$
$710$	24.6077	−	17.8785i	0.923509	−	0.670969i
$711$	14.8995	−	7.51619i	0.558775	−	0.281879i
$712$	45.3774	+	14.7440i	1.70059	+	0.552555i
$713$	−0.0888389	−	0.199535i	−0.00332704	−	0.00747266i
$714$	1.55325	+	20.2577i	0.0581288	+	0.758125i
$715$	47.0618	−	32.6181i	1.76001	−	1.21985i
$716$	−47.1602	+	27.2279i	−1.76246	+	1.01756i
$717$	8.56394	+	5.27176i	0.319826	+	0.196877i
$718$	28.2845	+	31.4132i	1.05557	+	1.17233i
$719$	46.0534	−	14.9636i	1.71750	−	0.558050i	0.725947	−	0.687750i	$-0.241402\pi$
$719$	46.0534	−	14.9636i	1.71750	−	0.558050i	0.991553	+	0.129700i	$0.0414016\pi$
$720$	−2.82931	+	10.3914i	−0.105442	+	0.387266i
$721$	−4.62838	−	6.37042i	−0.172370	−	0.237247i
$722$	−23.1616	−	4.92315i	−0.861985	−	0.183221i
$723$	1.47073	+	5.00209i	0.0546970	+	0.186030i
$724$	−5.91351	+	56.2633i	−0.219774	+	2.09101i
$725$	7.78571	+	13.4852i	0.289154	+	0.500829i
$726$	−15.1557	−	42.0150i	−0.562482	−	1.55932i
$727$	−14.4674	+	25.0583i	−0.536568	+	0.929363i	0.462518	+	0.886610i	$0.346946\pi$
$727$	−14.4674	+	25.0583i	−0.536568	+	0.929363i	−0.999086	+	0.0427527i	$0.986387\pi$
$728$	22.0507	+	16.0208i	0.817253	+	0.593769i
$729$	−3.90100	−	26.7167i	−0.144481	−	0.989508i
$730$	18.4841	+	56.8881i	0.684126	+	2.10552i
$731$	−12.8059	+	1.34596i	−0.473645	+	0.0497820i
$732$	−58.4812	+	10.7170i	−2.16153	+	0.396112i
$733$	−12.4546	−	11.2142i	−0.460021	−	0.414205i	0.406263	−	0.913756i	$-0.366832\pi$
$733$	−12.4546	−	11.2142i	−0.460021	−	0.414205i	−0.866284	+	0.499551i	$0.833498\pi$
$734$	−71.8151	+	15.2648i	−2.65074	+	0.563433i
$735$	26.6563	+	0.751776i	0.983233	+	0.0277297i
$736$	0.303164	+	0.175032i	0.0111748	+	0.00645175i
$737$	1.03394	+	12.5079i	0.0380855	+	0.460735i
$738$	−19.9064	−	24.7860i	−0.732766	−	0.912384i
$739$	16.0114	−	22.0378i	0.588990	−	0.810675i	−0.405655	−	0.914026i	$-0.632957\pi$
$739$	16.0114	−	22.0378i	0.588990	−	0.810675i	0.994645	+	0.103351i	$0.0329566\pi$
$740$	52.0191	−	46.8382i	1.91226	−	1.72181i
$741$	−11.6275	−	28.2319i	−0.427145	−	1.03713i
$742$	11.8012	+	5.25423i	0.433235	+	0.192889i
$743$	−40.4729	−	18.0197i	−1.48481	−	0.661078i	−0.505382	−	0.862896i	$-0.668649\pi$
$743$	−40.4729	−	18.0197i	−1.48481	−	0.661078i	−0.979423	+	0.201818i	$0.935315\pi$
$744$	5.96350	+	14.4796i	0.218632	+	0.530848i
$745$	20.8795	−	18.8000i	0.764967	−	0.688779i
$746$	−4.64095	+	6.38772i	−0.169917	+	0.233871i
$747$	−3.74145	+	0.577141i	−0.136893	+	0.0211165i
$748$	22.8948	−	37.6931i	0.837118	−	1.37820i
$749$	−3.50764	−	2.02514i	−0.128166	−	0.0739970i
$750$	17.3584	+	0.489551i	0.633839	+	0.0178759i
$751$	−27.6504	+	5.87728i	−1.00898	+	0.214465i	−0.682614	−	0.730779i	$-0.739157\pi$
$751$	−27.6504	+	5.87728i	−1.00898	+	0.214465i	−0.326364	+	0.945244i	$0.605824\pi$
$752$	−4.33872	−	3.90660i	−0.158217	−	0.142459i
$753$	−27.2979	+	5.00249i	−0.994792	+	0.182301i
$754$	60.6654	−	6.37619i	2.20930	−	0.232207i
$755$	9.03379	+	27.8031i	0.328773	+	1.01186i
$756$	−23.8087	−	2.01868i	−0.865915	−	0.0734188i
$757$	−13.9254	−	10.1174i	−0.506129	−	0.367724i	0.305224	−	0.952280i	$-0.401269\pi$
$757$	−13.9254	−	10.1174i	−0.506129	−	0.367724i	−0.811353	+	0.584556i	$0.801269\pi$
$758$	−28.2980	+	49.0137i	−1.02783	+	1.78026i
$759$	−0.378768	−	0.305518i	−0.0137484	−	0.0110896i
$760$	−15.2809	−	26.4674i	−0.554298	−	0.960072i
$761$	−5.06226	+	48.1642i	−0.183507	+	1.74595i	0.384678	+	0.923051i	$0.374312\pi$
$761$	−5.06226	+	48.1642i	−0.183507	+	1.74595i	−0.568185	+	0.822901i	$0.692354\pi$
$762$	3.41419	+	11.6120i	0.123683	+	0.420658i
$763$	−12.8512	−	2.73161i	−0.465245	−	0.0988909i
$764$	−30.2463	−	41.6305i	−1.09427	−	1.50614i
$765$	−32.2390	+	8.49930i	−1.16560	+	0.307293i
$766$	−20.1757	+	6.55549i	−0.728978	+	0.236859i
$767$	−55.5016	−	61.6407i	−2.00405	−	2.22572i
$768$	−34.0439	−	20.9566i	−1.22845	−	0.756207i
$769$	−8.98495	+	5.18746i	−0.324006	+	0.187065i	−0.653177	−	0.757206i	$-0.726564\pi$
$769$	−8.98495	+	5.18746i	−0.324006	+	0.187065i	0.329171	+	0.944270i	$0.393231\pi$
$770$	23.7786	+	18.0977i	0.856921	+	0.652197i
$771$	1.64758	+	21.4880i	0.0593362	+	0.773872i
$772$	−9.74228	−	21.8815i	−0.350632	−	0.787533i
$773$	−7.58873	−	2.46573i	−0.272947	−	0.0886860i	0.169345	−	0.985557i	$-0.445835\pi$
$773$	−7.58873	−	2.46573i	−0.272947	−	0.0886860i	−0.442293	+	0.896871i	$0.645835\pi$
$774$	1.34179	−	23.7696i	0.0482298	−	0.854381i
$775$	−7.37646	+	5.35931i	−0.264970	+	0.192512i
$776$	5.04806	+	48.0291i	0.181215	+	1.72415i
$777$	12.3692	+	9.53092i	0.443744	+	0.341920i
$778$	12.7152	+	59.8204i	0.455863	+	2.14466i
$779$	13.4107	+	1.40952i	0.480487	+	0.0505012i
$780$	−45.1931	+	94.2599i	−1.61817	+	3.37505i
$781$	−2.74105	−	14.4714i	−0.0980826	−	0.517826i
$782$		−	0.755389i		−	0.0270126i
$783$	−18.2364	+	13.8189i	−0.651716	+	0.493849i
$784$	2.00084	−	6.15795i	0.0714585	−	0.219927i
$785$	1.99342	−	9.37832i	0.0711483	−	0.334727i
$786$	−5.69793	−	31.0928i	−0.203239	−	1.10905i
$787$	7.20028	−	16.1721i	0.256662	−	0.576473i	−0.738551	−	0.674197i	$-0.764490\pi$
$787$	7.20028	−	16.1721i	0.256662	−	0.576473i	0.995214	+	0.0977243i	$0.0311563\pi$
$788$	20.6225	−	22.9036i	0.734645	−	0.815906i
$789$	25.4031	−	7.46909i	0.904374	−	0.265907i
$790$	34.8063	−	15.4968i	1.23835	−	0.551351i
$791$	6.20131			0.220493
$792$	26.5275	+	22.6610i	0.942615	+	0.805224i
$793$	−58.0249			−2.06052
$794$	42.5818	−	18.9586i	1.51117	−	0.672816i
$795$	−4.99022	+	20.6028i	−0.176985	+	0.730705i
$796$	19.6611	−	21.8359i	0.696870	−	0.773952i
$797$	−12.7980	+	28.7448i	−0.453329	+	1.01819i	0.531878	+	0.846821i	$0.321487\pi$
$797$	−12.7980	+	28.7448i	−0.453329	+	1.01819i	−0.985206	+	0.171372i	$0.945180\pi$
$798$	12.1371	−	10.3238i	0.429648	−	0.365459i
$799$	3.75781	−	17.6791i	0.132942	−	0.625441i
$800$	4.51574	−	13.8980i	0.159656	−	0.491370i
$801$	−40.7735	+	1.97210i	−1.44066	+	0.0696808i
$802$		−	23.2933i		−	0.822516i
$803$	28.7314	+	3.66759i	1.01391	+	0.129426i
$804$	−12.9395	−	18.9087i	−0.456342	−	0.666857i
$805$	0.323785	+	0.0340312i	0.0114119	+	0.00119944i
$806$	7.42621	+	34.9376i	0.261577	+	1.23062i
$807$	0.461310	−	3.45026i	0.0162389	−	0.121455i
$808$	4.58244	+	43.5990i	0.161210	+	1.53381i
$809$	−17.3896	+	12.6343i	−0.611384	+	0.444197i	−0.849902	−	0.526942i	$-0.823339\pi$
$809$	−17.3896	+	12.6343i	−0.611384	+	0.444197i	0.238517	+	0.971138i	$0.423339\pi$
$810$	−5.94915	−	61.3559i	−0.209032	−	2.15583i
$811$	31.2311	+	10.1476i	1.09667	+	0.356331i	0.800822	−	0.598903i	$-0.204396\pi$
$811$	31.2311	+	10.1476i	1.09667	+	0.356331i	0.295852	+	0.955234i	$0.404396\pi$
$812$	8.23592	+	18.4982i	0.289024	+	0.649159i
$813$	33.2441	+	15.9390i	1.16592	+	0.559003i
$814$	−15.3355	−	51.0334i	−0.537508	−	1.78872i
$815$	21.9053	−	12.6470i	0.767308	−	0.443005i
$816$	−0.228215	+	8.09202i	−0.00798914	+	0.283277i
$817$	6.75722	+	7.50465i	0.236405	+	0.262554i
$818$	−0.00343919	+	0.00111746i	−0.000120249	+	3.90711e-5i
$819$	−22.5003	−	6.12623i	−0.786224	−	0.214068i
$820$	−27.1361	−	37.3497i	−0.947635	−	1.30431i
$821$	54.8274	+	11.6539i	1.91349	+	0.406725i	1.00000		0.000133485i	$-4.24896e-5\pi$
$821$	54.8274	+	11.6539i	1.91349	+	0.406725i	0.913491	+	0.406859i	$0.133376\pi$
$822$	24.7905	+	6.00454i	0.864668	+	0.209432i
$823$	−5.58299	+	53.1186i	−0.194611	+	1.85160i	0.265971	+	0.963981i	$0.414308\pi$
$823$	−5.58299	+	53.1186i	−0.194611	+	1.85160i	−0.460581	+	0.887617i	$0.652359\pi$
$824$	−10.4949	−	18.1777i	−0.365607	−	0.633250i
$825$	−9.18761	+	18.1176i	−0.319872	+	0.630775i
$826$	21.6433	−	37.4873i	0.753067	−	1.30435i
$827$	15.2821	+	11.1031i	0.531410	+	0.386092i	0.820885	−	0.571094i	$-0.193481\pi$
$827$	15.2821	+	11.1031i	0.531410	+	0.386092i	−0.289475	+	0.957186i	$0.593481\pi$
$828$	0.876877	+	0.142509i	0.0304736	+	0.00495252i
$829$	−8.51237	−	26.1984i	−0.295647	−	0.909907i	−0.983003	−	0.183587i	$-0.941229\pi$
$829$	−8.51237	−	26.1984i	−0.295647	−	0.909907i	0.687357	−	0.726320i	$-0.258771\pi$
$830$	−8.59579	+	0.903454i	−0.298364	+	0.0313594i
$831$	14.3545	−	40.2777i	0.497951	−	1.39722i
$832$	−53.3335	−	48.0217i	−1.84901	−	1.66485i
$833$	19.6066	−	4.16751i	0.679328	−	0.144396i
$834$	1.01250	+	1.87378i	0.0350599	+	0.0648838i
$835$	50.2030	+	28.9847i	1.73735	+	1.00306i
$836$	−34.4695	+	2.84934i	−1.19215	+	0.0985464i
$837$	−9.16350	−	9.77398i	−0.316737	−	0.337838i
$838$	21.2768	−	29.2850i	0.734996	−	1.01164i
$839$	−2.67098	+	2.40496i	−0.0922124	+	0.0830284i	−0.713948	−	0.700199i	$-0.753095\pi$
$839$	−2.67098	+	2.40496i	−0.0922124	+	0.0830284i	0.621735	+	0.783227i	$0.286428\pi$
$840$	−23.1359	−	3.09334i	−0.798263	−	0.106730i
$841$	−8.77918	−	3.90874i	−0.302730	−	0.134784i
$842$	52.5002	+	23.3746i	1.80928	+	0.805542i
$843$	13.7688	−	17.8692i	0.474222	−	0.615446i
$844$	−45.2537	+	40.7466i	−1.55770	+	1.40256i
$845$	−37.6403	+	51.8074i	−1.29487	+	1.78223i
$846$	31.1492	+	12.1013i	1.07093	+	0.416052i
$847$	12.8406	−	6.67044i	0.441209	−	0.229199i
$848$	4.45751	+	2.57355i	0.153072	+	0.0883759i
$849$	−17.9493	+	29.1585i	−0.616018	+	1.00072i
$850$	−30.8443	+	6.55616i	−1.05795	+	0.224874i
$851$	−0.431450	−	0.388479i	−0.0147899	−	0.0133169i
$852$	17.4214	+	20.4813i	0.596849	+	0.701678i
$853$	−13.6404	+	1.43367i	−0.467039	+	0.0490878i	−0.335126	−	0.942173i	$-0.608779\pi$
$853$	−13.6404	+	1.43367i	−0.467039	+	0.0490878i	−0.131914	+	0.991261i	$0.542112\pi$
$854$	−9.35741	−	28.7991i	−0.320204	−	0.985486i
$855$	20.2540	+	16.5370i	0.692674	+	0.565553i
$856$	−8.73455	−	6.34602i	−0.298541	−	0.216902i
$857$	−1.82655	+	3.16368i	−0.0623939	+	0.108069i	−0.895535	−	0.444991i	$-0.853207\pi$
$857$	−1.82655	+	3.16368i	−0.0623939	+	0.108069i	0.833141	+	0.553060i	$0.186540\pi$
$858$	50.1989	+	61.7477i	1.71376	+	2.10803i
$859$	−12.4493	−	21.5628i	−0.424764	−	0.735713i	0.571634	−	0.820509i	$-0.306310\pi$
$859$	−12.4493	−	21.5628i	−0.424764	−	0.735713i	−0.996398	+	0.0847953i	$0.972976\pi$
$860$	3.61397	−	34.3847i	0.123235	−	1.17251i
$861$	7.10431	−	7.45623i	0.242114	−	0.254108i
$862$	27.5223	+	5.85004i	0.937413	+	0.199253i
$863$	−4.84824	−	6.67303i	−0.165036	−	0.227152i	0.718487	−	0.695540i	$-0.244835\pi$
$863$	−4.84824	−	6.67303i	−0.165036	−	0.227152i	−0.883523	+	0.468388i	$0.844835\pi$
$864$	21.0892	+	4.04068i	0.717470	+	0.137467i
$865$	−19.4045	+	6.30490i	−0.659773	+	0.214373i
$866$	1.40717	+	1.56282i	0.0478177	+	0.0531069i
$867$	3.85688	−	2.08406i	0.130987	−	0.0707786i
$868$	−10.2681	+	5.92831i	−0.348523	+	0.201220i
$869$	0.410364	−	18.4447i	0.0139206	−	0.625693i
$870$	−43.1111	+	29.5017i	−1.46160	+	1.00020i
$871$	−9.09506	−	20.4278i	−0.308174	−	0.692171i
$872$	−33.3076	−	10.8223i	−1.12794	−	0.366490i
$873$	−18.6096	−	36.8902i	−0.629840	−	1.24854i
$874$	−0.479279	+	0.348216i	−0.0162118	+	0.0117786i
$875$	0.588049	+	5.59492i	0.0198797	+	0.189143i
$876$	−48.8929	+	20.1368i	−1.65194	+	0.680359i
$877$	−2.06685	−	9.72376i	−0.0697925	−	0.328348i	0.929375	−	0.369136i	$-0.120346\pi$
$877$	−2.06685	−	9.72376i	−0.0697925	−	0.328348i	−0.999168	+	0.0407882i	$0.987013\pi$
$878$	−10.1446	−	1.06624i	−0.342365	−	0.0359840i
$879$	7.65489	−	0.586934i	0.258193	−	0.0197968i
$880$	8.66877	+	8.16176i	0.292224	+	0.275133i
$881$			46.2212i			1.55723i	0.627501	+	0.778616i	$0.284078\pi$
$881$			46.2212i			1.55723i	−0.627501	+	0.778616i	$0.715922\pi$
$882$	1.79043	+	37.0174i	0.0602870	+	1.24644i
$883$	9.04674	−	27.8430i	0.304447	−	0.936991i	−0.675436	−	0.737419i	$-0.736045\pi$
$883$	9.04674	−	27.8430i	0.304447	−	0.936991i	0.979883	−	0.199573i	$-0.0639554\pi$
$884$	−16.3366	+	76.8575i	−0.549458	+	2.58500i
$885$	66.9112	+	23.8463i	2.24919	+	0.801586i
$886$	−36.6586	+	82.3366i	−1.23157	+	2.76615i
$887$	−33.5199	+	37.2277i	−1.12549	+	1.24998i	−0.160687	+	0.987005i	$0.551371\pi$
$887$	−33.5199	+	37.2277i	−1.12549	+	1.24998i	−0.964802	+	0.262977i	$0.915296\pi$
$888$	30.1354	+	28.7131i	1.01128	+	0.963548i
$889$	−3.58211	+	1.59486i	−0.120140	+	0.0534898i
$890$	−93.1987			−3.12403
$891$	−28.0961	−	10.0800i	−0.941256	−	0.337693i
$892$	59.9122			2.00601
$893$	−12.9493	+	5.76539i	−0.433331	+	0.192932i
$894$	28.2695	+	26.9352i	0.945474	+	0.900849i
$895$	30.4544	−	33.8230i	1.01798	−	1.13058i
$896$	10.8115	−	24.2829i	0.361185	−	0.811235i
$897$	0.816696	+	0.291061i	0.0272687	+	0.00971823i
$898$	8.83058	−	41.5446i	0.294680	−	1.38636i
$899$	−3.50850	+	10.7981i	−0.117015	+	0.360136i
$900$	−1.79161	−	37.0418i	−0.0597204	−	1.23473i
$901$			15.9342i			0.530845i
$902$	−34.5313	+	6.54066i	−1.14977	+	0.217780i
$903$	7.69020	−	0.589641i	0.255914	−	0.0196220i
$904$	16.4398	+	1.72789i	0.546778	+	0.0574687i
$905$	−9.83068	−	46.2497i	−0.326783	−	1.53739i
$906$	−37.5669	+	15.4721i	−1.24808	+	0.514026i
$907$	−1.45510	−	13.8443i	−0.0483158	−	0.459694i	−0.991755	−	0.128148i	$-0.959097\pi$
$907$	−1.45510	−	13.8443i	−0.0483158	−	0.459694i	0.943439	−	0.331546i	$-0.107570\pi$
$908$	48.9042	−	35.5310i	1.62294	−	1.17914i
$909$	−16.8931	−	33.4875i	−0.560308	−	1.11071i
$910$	−50.6347	−	16.4522i	−1.67852	−	0.545385i
$911$	5.64577	+	12.6806i	0.187053	+	0.420127i	0.982592	−	0.185774i	$-0.0594793\pi$
$911$	5.64577	+	12.6806i	0.187053	+	0.420127i	−0.795540	+	0.605901i	$0.792813\pi$
$912$	5.23942	−	3.58543i	0.173495	−	0.118725i
$913$	−1.38153	+	3.95066i	−0.0457220	+	0.130748i
$914$	65.3799	−	37.7471i	2.16257	−	1.24856i
$915$	43.7175	−	23.6227i	1.44526	−	0.780943i
$916$	36.9670	+	41.0560i	1.22142	+	1.35653i
$917$	9.73950	−	3.16456i	0.321627	−	0.104503i
$918$	−15.2028	−	43.7704i	−0.501766	−	1.44464i
$919$	11.1835	+	15.3927i	0.368908	+	0.507759i	0.952604	−	0.304214i	$-0.0983938\pi$
$919$	11.1835	+	15.3927i	0.368908	+	0.507759i	−0.583695	+	0.811973i	$0.698394\pi$
$920$	0.848878	+	0.180435i	0.0279867	+	0.00594875i
$921$	13.2553	−	13.9120i	0.436778	−	0.458415i
$922$	9.58010	−	91.1486i	0.315504	−	3.00182i
$923$	13.1208	+	22.7260i	0.431878	+	0.748034i
$924$	−14.3446	+	22.1819i	−0.471903	+	0.729731i
$925$	−12.1179	+	20.9888i	−0.398434	+	0.690108i
$926$	32.3111	+	23.4754i	1.06181	+	0.771448i
$927$	13.9104	+	11.3576i	0.456878	+	0.373031i
$928$	−5.62314	−	17.3062i	−0.184588	−	0.568105i
$929$	16.1053	−	1.69274i	0.528398	−	0.0555369i	0.163427	−	0.986555i	$-0.447745\pi$
$929$	16.1053	−	1.69274i	0.528398	−	0.0555369i	0.364972	+	0.931019i	$0.381079\pi$
$930$	−19.8187	−	23.2996i	−0.649880	−	0.764024i
$931$	−11.6824	−	10.5189i	−0.382874	−	0.344741i
$932$	−11.6409	+	2.47435i	−0.381310	+	0.0810500i
$933$	7.12413	−	11.5731i	0.233233	−	0.378886i
$934$	−45.9628	−	26.5366i	−1.50395	−	0.868305i
$935$	−8.46353	+	35.8745i	−0.276787	+	1.17322i
$936$	−57.9416	−	22.5101i	−1.89388	−	0.735764i
$937$	−24.7387	+	34.0498i	−0.808177	+	1.11236i	0.183425	+	0.983034i	$0.441281\pi$
$937$	−24.7387	+	34.0498i	−0.808177	+	1.11236i	−0.991602	+	0.129326i	$0.958719\pi$
$938$	8.67211	−	7.80840i	0.283154	−	0.254953i
$939$	−34.1948	+	44.3781i	−1.11591	+	1.44822i
$940$	44.3342	+	19.7389i	1.44602	+	0.643811i
$941$	0.386550	+	0.172103i	0.0126012	+	0.00561040i	0.413028	−	0.910719i	$-0.364471\pi$
$941$	0.386550	+	0.172103i	0.0126012	+	0.00561040i	−0.400426	+	0.916329i	$0.631138\pi$
$942$	13.2073	+	1.76586i	0.430317	+	0.0575347i
$943$	−0.284558	+	0.256217i	−0.00926647	+	0.00834357i
$944$	10.1377	−	13.9533i	0.329954	−	0.454142i
$945$	19.4464	−	4.54451i	0.632591	−	0.147833i
$946$	−22.4955	−	13.6638i	−0.731393	−	0.444249i
$947$	−10.8999	−	6.29305i	−0.354199	−	0.204497i	0.312334	−	0.949972i	$-0.398889\pi$
$947$	−10.8999	−	6.29305i	−0.354199	−	0.204497i	−0.666533	+	0.745475i	$0.732222\pi$
$948$	16.0114	+	29.6316i	0.520026	+	0.962388i
$949$	−50.4776	+	10.7293i	−1.63857	+	0.348289i
$950$	18.3783	+	16.5479i	0.596269	+	0.536883i
$951$	6.99514	−	19.6279i	0.226833	−	0.636478i
$952$	−17.4491	+	1.83397i	−0.565528	+	0.0594394i
$953$	−16.7845	−	51.6574i	−0.543703	−	1.67335i	−0.724053	−	0.689745i	$-0.757723\pi$
$953$	−16.7845	−	51.6574i	−0.543703	−	1.67335i	0.180349	−	0.983603i	$-0.442277\pi$
$954$	−29.0794	−	4.72593i	−0.941479	−	0.153008i
$955$	34.7941	+	25.2794i	1.12591	+	0.818022i
$956$	−10.1483	+	17.5774i	−0.328220	+	0.568494i
$957$	4.00508	+	24.9766i	0.129466	+	0.807378i
$958$	−15.9406	−	27.6099i	−0.515017	−	0.892036i
$959$	−0.863768	+	8.21820i	−0.0278925	+	0.265379i
$960$	59.7332	+	14.4680i	1.92788	+	0.466954i
$961$	23.8197	+	5.06303i	0.768377	+	0.163324i
$962$	55.8052	+	76.8092i	1.79923	+	2.47643i
$963$	8.91263	+	2.42667i	0.287206	+	0.0781985i
$964$	−10.0079	+	3.25175i	−0.322332	+	0.104732i
$965$	13.3953	+	14.8770i	0.431210	+	0.478907i
$966$	−0.0127556	+	0.452284i	−0.000410403	+	0.0145520i
$967$	−23.2525	+	13.4249i	−0.747751	+	0.431714i	−0.824881	−	0.565307i	$-0.808758\pi$
$967$	−23.2525	+	13.4249i	−0.747751	+	0.431714i	0.0771296	+	0.997021i	$0.475424\pi$
$968$	35.8993	−	14.1056i	1.15385	−	0.453372i
$969$	17.7226	+	8.49712i	0.569331	+	0.272967i
$970$	−38.3690	−	86.1782i	−1.23195	−	2.76702i
$971$	−25.9476	−	8.43088i	−0.832697	−	0.270560i	−0.138516	−	0.990360i	$-0.544233\pi$
$971$	−25.9476	−	8.43088i	−0.832697	−	0.270560i	−0.694181	+	0.719801i	$0.744233\pi$
$972$	53.6780	−	9.39024i	1.72172	−	0.301192i
$973$	−0.558215	+	0.405567i	−0.0178956	+	0.0130019i
$974$	−2.14541	−	20.4123i	−0.0687435	−	0.654051i
$975$	4.79644	−	35.8738i	0.153609	−	1.14888i
$976$	−2.50853	−	11.8017i	−0.0802960	−	0.377763i
$977$	34.2567	+	3.60052i	1.09597	+	0.115191i	0.635213	−	0.772337i	$-0.280912\pi$
$977$	34.2567	+	3.60052i	1.09597	+	0.115191i	0.460754	+	0.887528i	$0.347579\pi$
$978$	19.8523	+	29.0103i	0.634806	+	0.927648i
$979$	−19.2683	+	40.8094i	−0.615818	+	1.30427i
$980$			53.8209i			1.71925i
$981$	29.9283	−	1.44755i	0.955538	−	0.0462168i
$982$	24.3234	−	74.8598i	0.776191	−	2.38887i
$983$	−3.41126	+	16.0487i	−0.108802	+	0.511875i	0.889669	+	0.456606i	$0.150935\pi$
$983$	−3.41126	+	16.0487i	−0.108802	+	0.511875i	−0.998471	+	0.0552693i	$0.982398\pi$
$984$	20.9112	−	17.7871i	0.666624	−	0.567031i
$985$	−10.4770	+	23.5317i	−0.333825	+	0.749783i
$986$	−26.2743	+	29.1806i	−0.836744	+	0.929298i
$987$	−2.54849	+	10.5218i	−0.0811194	+	0.334912i
$988$	56.2953	−	25.0643i	1.79099	−	0.797401i
$989$	−0.286760			−0.00911842
$990$	−62.9596	−	26.0857i	−2.00099	−	0.829058i
$991$	59.6539			1.89497			0.947484	−	0.319804i	$-0.103617\pi$
$991$	59.6539			1.89497			0.947484	+	0.319804i	$0.103617\pi$
$992$	9.73393	−	4.33383i	0.309053	−	0.137599i
$993$	−49.9753	+	14.6939i	−1.58592	+	0.466296i
$994$	−9.16351	+	10.1771i	−0.290649	+	0.322798i
$995$	−9.98859	+	22.4347i	−0.316660	+	0.711229i
$996$	−1.37724	−	7.51541i	−0.0436395	−	0.238135i
$997$	−8.46698	+	39.8340i	−0.268152	+	1.26156i	0.613515	+	0.789683i	$0.289755\pi$
$997$	−8.46698	+	39.8340i	−0.268152	+	1.26156i	−0.881667	+	0.471873i	$0.843578\pi$
$998$	1.62771	−	5.00958i	0.0515243	−	0.158575i
$999$	−32.8185	−	13.8269i	−1.03833	−	0.437463i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.p.a.29.10	✓	80
3.2	odd	2		297.2.t.a.62.1		80
9.2	odd	6		891.2.k.a.161.19		80
9.4	even	3		297.2.t.a.260.1		80
9.5	odd	6	inner	99.2.p.a.95.10	yes	80
9.7	even	3		891.2.k.a.161.2		80
11.8	odd	10	inner	99.2.p.a.74.10	yes	80
33.8	even	10		297.2.t.a.8.1		80
99.41	even	30	inner	99.2.p.a.41.10	yes	80
99.52	odd	30		891.2.k.a.404.19		80
99.74	even	30		891.2.k.a.404.2		80
99.85	odd	30		297.2.t.a.206.1		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.p.a.29.10	✓	80	1.1	even	1	trivial
99.2.p.a.41.10	yes	80	99.41	even	30	inner
99.2.p.a.74.10	yes	80	11.8	odd	10	inner
99.2.p.a.95.10	yes	80	9.5	odd	6	inner
297.2.t.a.8.1		80	33.8	even	10
297.2.t.a.62.1		80	3.2	odd	2
297.2.t.a.206.1		80	99.85	odd	30
297.2.t.a.260.1		80	9.4	even	3
891.2.k.a.161.2		80	9.7	even	3
891.2.k.a.161.19		80	9.2	odd	6
891.2.k.a.404.2		80	99.74	even	30
891.2.k.a.404.19		80	99.52	odd	30

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:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.p (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(2.14162 - 0.953512i) q^{2} +(-1.25398 - 1.19479i) q^{3} +(2.33911 - 2.59784i) q^{4} +(-1.18835 + 2.66909i) q^{5} +(-3.82481 - 1.36311i) q^{6} +(0.273495 - 1.28669i) q^{7} +(1.08356 - 3.33484i) q^{8} +(0.144932 + 2.99650i) q^{9} +6.84930i q^{10} +(2.99913 + 1.41605i) q^{11} +(-6.03708 + 0.462889i) q^{12} +(-5.87678 - 0.617674i) q^{13} +(-0.641155 - 3.01640i) q^{14} +(4.67919 - 1.92714i) q^{15} +(-0.128435 - 1.22198i) q^{16} +(3.07734 - 2.23582i) q^{17} +(3.16759 + 6.27917i) q^{18} +(-2.83716 - 0.921851i) q^{19} +(4.15418 + 9.33044i) q^{20} +(-1.88029 + 1.28672i) q^{21} +(7.77324 + 0.172942i) q^{22} +(0.0733618 - 0.0423554i) q^{23} +(-5.34321 + 2.88720i) q^{24} +(-2.36619 - 2.62792i) q^{25} +(-13.1748 + 4.28075i) q^{26} +(3.39846 - 3.93071i) q^{27} +(-2.70289 - 3.72021i) q^{28} +(-4.30718 - 0.915520i) q^{29} +(8.18350 - 8.58888i) q^{30} +(0.269516 - 2.56428i) q^{31} +(2.06622 + 3.57881i) q^{32} +(-2.06896 - 5.35905i) q^{33} +(4.45863 - 7.72257i) q^{34} +(3.10929 + 2.25903i) q^{35} +(8.12343 + 6.63261i) q^{36} +(-2.11787 - 6.51815i) q^{37} +(-6.95514 + 0.731014i) q^{38} +(6.63137 + 7.79609i) q^{39} +(7.61334 + 6.85508i) q^{40} +(-4.42142 + 0.939802i) q^{41} +(-2.79998 + 4.54855i) q^{42} +(-2.93163 - 1.69258i) q^{43} +(10.6940 - 4.47897i) q^{44} +(-8.17015 - 3.17406i) q^{45} +(0.116727 - 0.160661i) q^{46} +(3.53111 - 3.17942i) q^{47} +(-1.29896 + 1.68580i) q^{48} +(4.81404 + 2.14335i) q^{49} +(-7.57326 - 3.37183i) q^{50} +(-6.53027 - 0.873118i) q^{51} +(-15.3510 + 13.8221i) q^{52} +(-2.46224 + 3.38898i) q^{53} +(3.53023 - 11.6586i) q^{54} +(-7.34360 + 6.32218i) q^{55} +(-3.99457 - 2.30627i) q^{56} +(2.45633 + 4.54581i) q^{57} +(-10.0973 + 2.14625i) q^{58} +(10.4314 + 9.39248i) q^{59} +(5.93870 - 16.6636i) q^{60} +(9.76570 - 1.02642i) q^{61} +(-1.86787 - 5.74871i) q^{62} +(3.89521 + 0.633044i) q^{63} +(9.82561 + 7.13872i) q^{64} +(8.63232 - 14.9516i) q^{65} +(-9.54086 - 9.50429i) q^{66} +(1.89207 + 3.27716i) q^{67} +(1.38993 - 13.2243i) q^{68} +(-0.142600 - 0.0345394i) q^{69} +(8.81295 + 1.87325i) q^{70} +(-2.61027 - 3.59273i) q^{71} +(10.1499 + 2.76354i) q^{72} +(8.30569 - 2.69868i) q^{73} +(-10.7508 - 11.9400i) q^{74} +(-0.172670 + 6.12248i) q^{75} +(-9.03125 + 5.21419i) q^{76} +(2.64228 - 3.47168i) q^{77} +(21.6356 + 10.3732i) q^{78} +(-2.26254 - 5.08174i) q^{79} +(3.41421 + 1.10934i) q^{80} +(-8.95799 + 0.868579i) q^{81} +(-8.57291 + 6.22858i) q^{82} +(0.131905 + 1.25499i) q^{83} +(-1.05552 + 7.89447i) q^{84} +(2.31063 + 10.8706i) q^{85} +(-7.89234 - 0.829519i) q^{86} +(4.30726 + 6.29424i) q^{87} +(7.97204 - 8.46726i) q^{88} +13.6071i q^{89} +(-20.5239 + 0.992685i) q^{90} +(-2.40203 + 7.39268i) q^{91} +(0.0615683 - 0.289656i) q^{92} +(-3.40175 + 2.89354i) q^{93} +(4.53068 - 10.1761i) q^{94} +(5.83206 - 6.47716i) q^{95} +(1.68493 - 6.95646i) q^{96} +(-12.5821 + 5.60189i) q^{97} +12.3536 q^{98} +(-3.80853 + 9.19212i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q - 15 q^{2} - 3 q^{3} + 5 q^{4} - 6 q^{5} - 15 q^{6} - 5 q^{7} - q^{9} - 3 q^{11} - 54 q^{12} - 5 q^{13} - 9 q^{14} + 5 q^{16} - 50 q^{19} - 3 q^{20} - 11 q^{22} - 42 q^{23} - 5 q^{24} - 2 q^{25} + 3 q^{27}+ \cdots + 35 q^{99}+O(q^{100}) \) 80 * q - 15 * q^2 - 3 * q^3 + 5 * q^4 - 6 * q^5 - 15 * q^6 - 5 * q^7 - q^9 - 3 * q^11 - 54 * q^12 - 5 * q^13 - 9 * q^14 + 5 * q^16 - 50 * q^19 - 3 * q^20 - 11 * q^22 - 42 * q^23 - 5 * q^24 - 2 * q^25 + 3 * q^27 - 20 * q^28 + 30 * q^29 + 50 * q^30 - 6 * q^31 + 4 * q^33 - 10 * q^34 - 17 * q^36 - 6 * q^37 + 9 * q^38 + 85 * q^39 + 15 * q^40 - 15 * q^41 + 19 * q^42 - 12 * q^45 - 40 * q^46 - 21 * q^47 + 70 * q^48 - q^49 + 60 * q^50 - 45 * q^51 - 5 * q^52 - 18 * q^55 + 90 * q^56 + 60 * q^57 - 29 * q^58 + 81 * q^59 + 43 * q^60 - 5 * q^61 + 15 * q^63 - 8 * q^64 - 39 * q^66 + 10 * q^67 + 180 * q^68 - 20 * q^69 + 30 * q^70 + 5 * q^72 - 20 * q^73 - 15 * q^74 - 30 * q^75 + 33 * q^77 + 152 * q^78 - 5 * q^79 - 73 * q^81 - 2 * q^82 - 60 * q^83 - 135 * q^84 - 5 * q^85 - 48 * q^86 - 59 * q^88 - 70 * q^90 + 52 * q^91 - 213 * q^92 - 34 * q^93 - 5 * q^94 - 135 * q^95 - 145 * q^96 + 27 * q^97 + 35 * q^99

Introduction

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