LMFDB - Embedded newform 588.2.x.a.55.27

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.27
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.27

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.41129 - 0.0909177i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.98347 - 0.256622i) q^{4} +(1.60689 - 3.33674i) q^{5} +(-1.31097 - 0.530421i) q^{6} +(-2.64502 - 0.0624089i) q^{7} +(2.77591 - 0.542500i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(1.41129 - 0.0909177i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.98347 - 0.256622i) q^{4} +(1.60689 - 3.33674i) q^{5} +(-1.31097 - 0.530421i) q^{6} +(-2.64502 - 0.0624089i) q^{7} +(2.77591 - 0.542500i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.96441 - 4.85519i) q^{10} +(-4.25622 - 3.39422i) q^{11} +(-1.89839 - 0.629386i) q^{12} +(1.93445 + 1.54267i) q^{13} +(-3.73855 + 0.152402i) q^{14} +(-2.89551 + 2.30909i) q^{15} +(3.86829 - 1.01800i) q^{16} +(-2.08167 - 0.475128i) q^{17} +(0.951006 + 1.04670i) q^{18} +5.74111 q^{19} +(2.33093 - 7.03067i) q^{20} +(2.35600 + 1.20386i) q^{21} +(-6.31534 - 4.40326i) q^{22} +(-4.92574 + 1.12427i) q^{23} +(-2.73639 - 0.715648i) q^{24} +(-5.43428 - 6.81437i) q^{25} +(2.87032 + 2.00128i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-5.26232 + 0.554983i) q^{28} +(-1.53568 + 6.72825i) q^{29} +(-3.87646 + 3.52205i) q^{30} +7.93095 q^{31} +(5.36672 - 1.78839i) q^{32} +(2.36202 + 4.90479i) q^{33} +(-2.98104 - 0.481282i) q^{34} +(-4.45848 + 8.72544i) q^{35} +(1.43731 + 1.39074i) q^{36} +(0.513837 - 2.25127i) q^{37} +(8.10236 - 0.521969i) q^{38} +(-1.07354 - 2.22922i) q^{39} +(2.65040 - 10.1342i) q^{40} +(4.38965 - 9.11520i) q^{41} +(3.43444 + 1.48479i) q^{42} +(4.02926 + 8.36685i) q^{43} +(-9.31310 - 5.64009i) q^{44} +(3.61064 - 0.824106i) q^{45} +(-6.84943 + 2.03450i) q^{46} +(3.62366 - 4.54393i) q^{47} +(-3.92690 - 0.761199i) q^{48} +(6.99221 + 0.330145i) q^{49} +(-8.28888 - 9.12296i) q^{50} +(1.66937 + 1.33128i) q^{51} +(4.23280 + 2.56341i) q^{52} +(0.00314785 + 0.0137916i) q^{53} +(-0.402679 - 1.35567i) q^{54} +(-18.1649 + 8.74774i) q^{55} +(-7.37619 + 1.26168i) q^{56} +(-5.17256 - 2.49097i) q^{57} +(-1.55557 + 9.63512i) q^{58} +(5.89671 - 2.83970i) q^{59} +(-5.15059 + 5.32307i) q^{60} +(-0.318289 - 0.0726475i) q^{61} +(11.1929 - 0.721064i) q^{62} +(-1.60035 - 2.10687i) q^{63} +(7.41139 - 3.01187i) q^{64} +(8.25592 - 3.97584i) q^{65} +(3.77943 + 6.70732i) q^{66} +5.13303i q^{67} +(-4.25086 - 0.408198i) q^{68} +(4.92574 + 1.12427i) q^{69} +(-5.49891 + 12.7195i) q^{70} +(4.47445 - 1.02126i) q^{71} +(2.15490 + 1.83205i) q^{72} +(-7.14065 + 5.69448i) q^{73} +(0.520492 - 3.22390i) q^{74} +(1.93947 + 8.49738i) q^{75} +(11.3873 - 1.47330i) q^{76} +(11.0459 + 9.24339i) q^{77} +(-1.71775 - 3.04847i) q^{78} -3.91110i q^{79} +(2.81910 - 14.5433i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(5.36633 - 13.2633i) q^{82} +(3.06742 + 3.84642i) q^{83} +(4.98198 + 1.78321i) q^{84} +(-4.93039 + 6.18252i) q^{85} +(6.44714 + 11.4417i) q^{86} +(4.30288 - 5.39564i) q^{87} +(-13.6563 - 7.11306i) q^{88} +(-12.7313 + 10.1529i) q^{89} +(5.02073 - 1.49132i) q^{90} +(-5.02037 - 4.20111i) q^{91} +(-9.48154 + 3.49400i) q^{92} +(-7.14554 - 3.44111i) q^{93} +(4.70091 - 6.74225i) q^{94} +(9.22532 - 19.1566i) q^{95} +(-5.61120 - 0.717246i) q^{96} +10.0633i q^{97} +(9.89804 - 0.169786i) q^{98} -5.44390i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	1.41129	−	0.0909177i	0.997931	−	0.0642885i
$2$	1.41129	−	0.0909177i	0.997931	−	0.0642885i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	1.98347	−	0.256622i	0.991734	−	0.128311i
$5$	1.60689	−	3.33674i	0.718622	−	1.49223i	−0.145718	−	0.989326i	$-0.546549\pi$
$5$	1.60689	−	3.33674i	0.718622	−	1.49223i	0.864340	−	0.502908i	$-0.167737\pi$
$6$	−1.31097	−	0.530421i	−0.535203	−	0.216543i
$7$	−2.64502	−	0.0624089i	−0.999722	−	0.0235883i
$7$	−2.64502	−	0.0624089i	−0.999722	−	0.0235883i
$8$	2.77591	−	0.542500i	0.981433	−	0.191803i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	1.96441	−	4.85519i	0.621202	−	1.53535i
$11$	−4.25622	−	3.39422i	−1.28330	−	1.02340i	−0.997886	−	0.0649905i	$-0.979298\pi$
$11$	−4.25622	−	3.39422i	−1.28330	−	1.02340i	−0.285412	−	0.958405i	$-0.592130\pi$
$12$	−1.89839	−	0.629386i	−0.548017	−	0.181688i
$13$	1.93445	+	1.54267i	0.536519	+	0.427860i	0.853899	−	0.520439i	$-0.174232\pi$
$13$	1.93445	+	1.54267i	0.536519	+	0.427860i	−0.317380	+	0.948298i	$0.602803\pi$
$14$	−3.73855	+	0.152402i	−0.999170	+	0.0407311i
$15$	−2.89551	+	2.30909i	−0.747618	+	0.596205i
$16$	3.86829	−	1.01800i	0.967073	−	0.254501i
$17$	−2.08167	−	0.475128i	−0.504880	−	0.115236i	−0.0375079	−	0.999296i	$-0.511942\pi$
$17$	−2.08167	−	0.475128i	−0.504880	−	0.115236i	−0.467372	+	0.884061i	$0.654799\pi$
$18$	0.951006	+	1.04670i	0.224154	+	0.246710i
$19$	5.74111			1.31710			0.658551	−	0.752536i	$-0.271170\pi$
$19$	5.74111			1.31710			0.658551	+	0.752536i	$0.271170\pi$
$20$	2.33093	−	7.03067i	0.521212	−	1.57211i
$21$	2.35600	+	1.20386i	0.514121	+	0.262703i
$22$	−6.31534	−	4.40326i	−1.34644	−	0.938777i
$23$	−4.92574	+	1.12427i	−1.02709	+	0.234426i	−0.702691	−	0.711495i	$-0.748018\pi$
$23$	−4.92574	+	1.12427i	−1.02709	+	0.234426i	−0.324397	+	0.945921i	$0.605161\pi$
$24$	−2.73639	−	0.715648i	−0.558564	−	0.146081i
$25$	−5.43428	−	6.81437i	−1.08686	−	1.36287i
$26$	2.87032	+	2.00128i	0.562916	+	0.392483i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−5.26232	+	0.554983i	−0.994485	+	0.104882i
$29$	−1.53568	+	6.72825i	−0.285168	+	1.24940i	0.605902	+	0.795539i	$0.292812\pi$
$29$	−1.53568	+	6.72825i	−0.285168	+	1.24940i	−0.891070	+	0.453865i	$0.850045\pi$
$30$	−3.87646	+	3.52205i	−0.707742	+	0.643035i
$31$	7.93095			1.42444			0.712220	−	0.701956i	$-0.247690\pi$
$31$	7.93095			1.42444			0.712220	+	0.701956i	$0.247690\pi$
$32$	5.36672	−	1.78839i	0.948711	−	0.316146i
$33$	2.36202	+	4.90479i	0.411175	+	0.853814i
$34$	−2.98104	−	0.481282i	−0.511244	−	0.0825392i
$35$	−4.45848	+	8.72544i	−0.753621	+	1.47487i
$36$	1.43731	+	1.39074i	0.239551	+	0.231789i
$37$	0.513837	−	2.25127i	0.0844742	−	0.370106i	−0.914967	−	0.403528i	$-0.867784\pi$
$37$	0.513837	−	2.25127i	0.0844742	−	0.370106i	0.999441	+	0.0334227i	$0.0106408\pi$
$38$	8.10236	−	0.521969i	1.31438	−	0.0846745i
$39$	−1.07354	−	2.22922i	−0.171904	−	0.356961i
$40$	2.65040	−	10.1342i	0.419065	−	1.60236i
$41$	4.38965	−	9.11520i	0.685548	−	1.42356i	−0.209600	−	0.977787i	$-0.567216\pi$
$41$	4.38965	−	9.11520i	0.685548	−	1.42356i	0.895148	−	0.445768i	$-0.147070\pi$
$42$	3.43444	+	1.48479i	0.529946	+	0.229108i
$43$	4.02926	+	8.36685i	0.614457	+	1.27593i	0.943423	+	0.331591i	$0.107585\pi$
$43$	4.02926	+	8.36685i	0.614457	+	1.27593i	−0.328966	+	0.944342i	$0.606700\pi$
$44$	−9.31310	−	5.64009i	−1.40400	−	0.850275i
$45$	3.61064	−	0.824106i	0.538243	−	0.122850i
$46$	−6.84943	+	2.03450i	−1.00989	+	0.299971i
$47$	3.62366	−	4.54393i	0.528566	−	0.662800i	−0.443837	−	0.896107i	$-0.646383\pi$
$47$	3.62366	−	4.54393i	0.528566	−	0.662800i	0.972403	+	0.233307i	$0.0749547\pi$
$48$	−3.92690	−	0.761199i	−0.566800	−	0.109870i
$49$	6.99221	+	0.330145i	0.998887	+	0.0471635i
$50$	−8.28888	−	9.12296i	−1.17222	−	1.29018i
$51$	1.66937	+	1.33128i	0.233759	+	0.186416i
$52$	4.23280	+	2.56341i	0.586983	+	0.355482i
$53$	0.00314785	+	0.0137916i	0.000432390	+	0.00189442i	0.975144	−	0.221574i	$-0.0711193\pi$
$53$	0.00314785	+	0.0137916i	0.000432390	+	0.00189442i	−0.974711	+	0.223468i	$0.928262\pi$
$54$	−0.402679	−	1.35567i	−0.0547977	−	0.184484i
$55$	−18.1649	+	8.74774i	−2.44935	+	1.17955i
$56$	−7.37619	+	1.26168i	−0.985685	+	0.168599i
$57$	−5.17256	−	2.49097i	−0.685123	−	0.329938i
$58$	−1.55557	+	9.63512i	−0.204256	+	1.26515i
$59$	5.89671	−	2.83970i	0.767686	−	0.369698i	−0.00869503	−	0.999962i	$-0.502768\pi$
$59$	5.89671	−	2.83970i	0.767686	−	0.369698i	0.776381	+	0.630264i	$0.217053\pi$
$60$	−5.15059	+	5.32307i	−0.664938	+	0.687205i
$61$	−0.318289	−	0.0726475i	−0.0407528	−	0.00930156i	0.202096	−	0.979366i	$-0.435225\pi$
$61$	−0.318289	−	0.0726475i	−0.0407528	−	0.00930156i	−0.242849	+	0.970064i	$0.578082\pi$
$62$	11.1929	−	0.721064i	1.42149	−	0.0915752i
$63$	−1.60035	−	2.10687i	−0.201625	−	0.265440i
$64$	7.41139	−	3.01187i	0.926423	−	0.376483i
$65$	8.25592	−	3.97584i	1.02402	−	0.493143i
$66$	3.77943	+	6.70732i	0.465215	+	0.825614i
$67$			5.13303i			0.627099i	0.949572	+	0.313549i	$0.101518\pi$
$67$			5.13303i			0.627099i	−0.949572	+	0.313549i	$0.898482\pi$
$68$	−4.25086	−	0.408198i	−0.515492	−	0.0495013i
$69$	4.92574	+	1.12427i	0.592990	+	0.135346i
$70$	−5.49891	+	12.7195i	−0.657245	+	1.52027i
$71$	4.47445	−	1.02126i	0.531020	−	0.121202i	0.0513998	−	0.998678i	$-0.483632\pi$
$71$	4.47445	−	1.02126i	0.531020	−	0.121202i	0.479620	+	0.877476i	$0.340775\pi$
$72$	2.15490	+	1.83205i	0.253957	+	0.215910i
$73$	−7.14065	+	5.69448i	−0.835750	+	0.666488i	−0.944836	−	0.327544i	$-0.893779\pi$
$73$	−7.14065	+	5.69448i	−0.835750	+	0.666488i	0.109086	+	0.994032i	$0.465208\pi$
$74$	0.520492	−	3.22390i	0.0605059	−	0.374771i
$75$	1.93947	+	8.49738i	0.223951	+	0.981193i
$76$	11.3873	−	1.47330i	1.30621	−	0.168999i
$77$	11.0459	+	9.24339i	1.25880	+	1.05338i
$78$	−1.71775	−	3.04847i	−0.194496	−	0.345171i
$79$		−	3.91110i		−	0.440033i	−0.975496	−	0.220016i	$-0.929389\pi$
$79$		−	3.91110i		−	0.440033i	0.975496	−	0.220016i	$-0.0706111\pi$
$80$	2.81910	−	14.5433i	0.315185	−	1.62599i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	5.36633	−	13.2633i	0.592612	−	1.46468i
$83$	3.06742	+	3.84642i	0.336693	+	0.422200i	0.921140	−	0.389233i	$-0.127260\pi$
$83$	3.06742	+	3.84642i	0.336693	+	0.422200i	−0.584447	+	0.811432i	$0.698688\pi$
$84$	4.98198	+	1.78321i	0.543579	+	0.194564i
$85$	−4.93039	+	6.18252i	−0.534776	+	0.670588i
$86$	6.44714	+	11.4417i	0.695213	+	1.23379i
$87$	4.30288	−	5.39564i	0.461317	−	0.578473i
$88$	−13.6563	−	7.11306i	−1.45576	−	0.758255i
$89$	−12.7313	+	10.1529i	−1.34952	+	1.07621i	−0.359824	+	0.933020i	$0.617163\pi$
$89$	−12.7313	+	10.1529i	−1.34952	+	1.07621i	−0.989696	+	0.143186i	$0.954265\pi$
$90$	5.02073	−	1.49132i	0.529232	−	0.157199i
$91$	−5.02037	−	4.20111i	−0.526277	−	0.440396i
$92$	−9.48154	+	3.49400i	−0.988519	+	0.364275i
$93$	−7.14554	−	3.44111i	−0.740958	−	0.356826i
$94$	4.70091	−	6.74225i	0.484862	−	0.695410i
$95$	9.22532	−	19.1566i	0.946498	−	1.96542i
$96$	−5.61120	−	0.717246i	−0.572691	−	0.0732036i
$97$			10.0633i			1.02178i	0.859648	+	0.510888i	$0.170683\pi$
$97$			10.0633i			1.02178i	−0.859648	+	0.510888i	$0.829317\pi$
$98$	9.89804	−	0.169786i	0.999853	−	0.0171510i
$99$		−	5.44390i		−	0.547133i
$100$	−12.5274	−	12.1215i	−1.25274	−	1.21215i
$101$	−1.34776	+	2.79865i	−0.134107	+	0.278476i	−0.957198	−	0.289433i	$-0.906533\pi$
$101$	−1.34776	+	2.79865i	−0.134107	+	0.278476i	0.823091	+	0.567909i	$0.192248\pi$
$102$	2.47700	+	1.72704i	0.245260	+	0.171003i
$103$	8.41789	+	4.05384i	0.829439	+	0.399437i	0.799905	−	0.600127i	$-0.204883\pi$
$103$	8.41789	+	4.05384i	0.829439	+	0.399437i	0.0295344	+	0.999564i	$0.490598\pi$
$104$	6.20676	+	3.23288i	0.608622	+	0.317010i
$105$	7.80278	−	5.92688i	0.761473	−	0.578404i
$106$	0.00569642	+	0.0191777i	0.000553285	+	0.00186271i
$107$	−9.10233	+	7.25887i	−0.879956	+	0.701741i	−0.955370	−	0.295411i	$-0.904543\pi$
$107$	−9.10233	+	7.25887i	−0.879956	+	0.701741i	0.0754144	+	0.997152i	$0.475972\pi$
$108$	−0.691551	−	1.87663i	−0.0665445	−	0.180579i
$109$	−1.16986	+	1.46695i	−0.112052	+	0.140509i	−0.834695	−	0.550713i	$-0.814356\pi$
$109$	−1.16986	+	1.46695i	−0.112052	+	0.140509i	0.722643	+	0.691222i	$0.242927\pi$
$110$	−24.8406	+	13.9971i	−2.36845	+	1.33457i
$111$	−1.43974	+	1.80537i	−0.136654	+	0.171359i
$112$	−10.2952	+	2.45122i	−0.972807	+	0.231618i
$113$	4.28533	+	5.37364i	0.403130	+	0.505509i	0.941413	−	0.337255i	$-0.109498\pi$
$113$	4.28533	+	5.37364i	0.403130	+	0.505509i	−0.538283	+	0.842764i	$0.680927\pi$
$114$	−7.52645	−	3.04521i	−0.704916	−	0.285210i
$115$	−4.16373	+	18.2425i	−0.388270	+	1.70112i
$116$	−1.31935	+	13.7394i	−0.122499	+	1.27567i
$117$			2.47425i			0.228745i
$118$	8.06377	−	4.54375i	0.742330	−	0.418287i
$119$	5.47640	+	1.38664i	0.502021	+	0.127113i
$120$	−6.78501	+	7.98066i	−0.619383	+	0.728531i
$121$	4.14692	+	18.1689i	0.376993	+	1.65171i
$122$	−0.455803	−	0.0735884i	−0.0412665	−	0.00666238i
$123$	−7.90988	+	6.30792i	−0.713210	+	0.568766i
$124$	15.7308	−	2.03526i	1.41267	−	0.182771i
$125$	−13.4168	+	3.06230i	−1.20004	+	0.273900i
$126$	−2.45010	−	2.82790i	−0.218272	−	0.251929i
$127$	−5.88984	−	1.34432i	−0.522639	−	0.119289i	−0.0469410	−	0.998898i	$-0.514947\pi$
$127$	−5.88984	−	1.34432i	−0.522639	−	0.119289i	−0.475698	+	0.879609i	$0.657804\pi$
$128$	10.1858	−	4.92444i	0.900303	−	0.435263i
$129$		−	9.28650i		−	0.817631i
$130$	11.2900	−	6.36167i	0.990200	−	0.557955i
$131$	−10.0863	+	4.85728i	−0.881240	+	0.424383i	−0.819077	−	0.573683i	$-0.805514\pi$
$131$	−10.0863	+	4.85728i	−0.881240	+	0.424383i	−0.0621627	+	0.998066i	$0.519800\pi$
$132$	5.94367	+	9.12234i	0.517330	+	0.793998i
$133$	−15.1853	−	0.358296i	−1.31673	−	0.0310682i
$134$	0.466683	+	7.24418i	0.0403153	+	0.625802i
$135$	−3.61064	−	0.824106i	−0.310755	−	0.0709278i
$136$	−6.03630	−	0.189607i	−0.517608	−	0.0162587i
$137$	8.56833	−	4.12629i	0.732042	−	0.352533i	−0.0304449	−	0.999536i	$-0.509692\pi$
$137$	8.56833	−	4.12629i	0.732042	−	0.352533i	0.762487	+	0.647004i	$0.223978\pi$
$138$	7.05386	+	1.13883i	0.600464	+	0.0969436i
$139$	1.14782	+	0.552762i	0.0973570	+	0.0468847i	0.481929	−	0.876211i	$-0.339936\pi$
$139$	1.14782	+	0.552762i	0.0973570	+	0.0468847i	−0.384571	+	0.923095i	$0.625651\pi$
$140$	−6.60412	+	18.4508i	−0.558150	+	1.55937i
$141$	−5.23635	+	2.52169i	−0.440980	+	0.212365i
$142$	6.22189	−	1.84810i	0.522129	−	0.155090i
$143$	−2.99726	−	13.1319i	−0.250644	−	1.09814i
$144$	3.20775	+	2.38964i	0.267312	+	0.199136i
$145$	19.9827	+	15.9357i	1.65948	+	1.32339i
$146$	−9.55979	+	8.68576i	−0.791173	+	0.718839i
$147$	−6.15652	−	3.33126i	−0.507781	−	0.274757i
$148$	0.441454	−	4.59717i	0.0362873	−	0.377885i
$149$	−6.74873	+	8.46264i	−0.552878	+	0.693287i	−0.977223	−	0.212214i	$-0.931933\pi$
$149$	−6.74873	+	8.46264i	−0.552878	+	0.693287i	0.424346	+	0.905500i	$0.360504\pi$
$150$	3.50971	+	11.8159i	0.286567	+	0.964765i
$151$	−12.1249	+	2.76744i	−0.986714	+	0.225211i	−0.685283	−	0.728277i	$-0.740321\pi$
$151$	−12.1249	+	2.76744i	−0.986714	+	0.225211i	−0.301431	+	0.953488i	$0.597464\pi$
$152$	15.9368	−	3.11455i	1.29265	−	0.252624i
$153$	−0.926431	−	1.92375i	−0.0748975	−	0.155526i
$154$	16.4294	+	12.0408i	1.32392	+	0.970276i
$155$	12.7441	−	26.4635i	1.02363	−	2.12560i
$156$	−2.70139	−	4.14610i	−0.216285	−	0.331954i
$157$	−9.57211	−	19.8767i	−0.763938	−	1.58633i	−0.809323	−	0.587363i	$-0.800166\pi$
$157$	−9.57211	−	19.8767i	−0.763938	−	1.58633i	0.0453856	−	0.998970i	$-0.485548\pi$
$158$	−0.355588	−	5.51968i	−0.0282890	−	0.439122i
$159$	0.00314785	−	0.0137916i	0.000249640	−	0.00109375i
$160$	2.65632	−	20.7811i	0.210000	−	1.64289i
$161$	13.0988	−	2.66630i	1.03233	−	0.210134i
$162$	−0.225403	+	1.39614i	−0.0177093	+	0.109691i
$163$	0.351907	+	0.730742i	0.0275635	+	0.0572361i	0.914296	−	0.405047i	$-0.132745\pi$
$163$	0.351907	+	0.730742i	0.0275635	+	0.0572361i	−0.886733	+	0.462283i	$0.847030\pi$
$164$	6.36757	−	19.2062i	0.497224	−	1.49975i
$165$	20.1615			1.56957
$166$	4.67872	+	5.14953i	0.363139	+	0.399681i
$167$	2.03904	−	8.93363i	0.157786	−	0.691305i	−0.832704	−	0.553719i	$-0.813208\pi$
$167$	2.03904	−	8.93363i	0.157786	−	0.691305i	0.990490	−	0.137587i	$-0.0439346\pi$
$168$	7.19314	+	2.06367i	0.554963	+	0.159216i
$169$	−1.53052	−	6.70564i	−0.117732	−	0.515818i
$170$	−6.39610	+	9.17357i	−0.490559	+	0.703581i
$171$	3.57952	+	4.48858i	0.273733	+	0.343250i
$172$	10.1390	+	15.5614i	0.773094	+	1.18654i
$173$	11.4088	−	2.60400i	0.867399	−	0.197978i	0.234409	−	0.972138i	$-0.424685\pi$
$173$	11.4088	−	2.60400i	0.867399	−	0.197978i	0.632990	+	0.774160i	$0.281827\pi$
$174$	5.58204	−	8.00600i	0.423173	−	0.606934i
$175$	13.9485	+	18.3633i	1.05440	+	1.38813i
$176$	−19.9196	−	8.79698i	−1.50150	−	0.663097i
$177$	−6.54485			−0.491941
$178$	−17.0445	+	15.4862i	−1.27754	+	1.16074i
$179$	−10.7851	−	2.46164i	−0.806120	−	0.183992i	−0.200446	−	0.979705i	$-0.564239\pi$
$179$	−10.7851	−	2.46164i	−0.806120	−	0.183992i	−0.605674	+	0.795713i	$0.707096\pi$
$180$	6.95011	−	2.56116i	0.518031	−	0.190898i
$181$	−5.12226	+	4.08486i	−0.380734	+	0.303625i	−0.795092	−	0.606489i	$-0.792578\pi$
$181$	−5.12226	+	4.08486i	−0.380734	+	0.303625i	0.414358	+	0.910114i	$0.364006\pi$
$182$	−7.46714	−	5.47254i	−0.553501	−	0.405652i
$183$	0.255248	+	0.203554i	0.0188685	+	0.0150471i
$184$	−13.0635	+	5.79309i	−0.963055	+	0.427072i
$185$	−6.68620	−	5.33207i	−0.491579	−	0.392021i
$186$	−10.3973	−	4.20674i	−0.762365	−	0.308453i
$187$	7.24736	+	9.08790i	0.529979	+	0.664573i
$188$	6.02135	−	9.94265i	0.439152	−	0.725143i
$189$	0.527727	+	2.59259i	0.0383865	+	0.188583i
$190$	11.2779	−	27.8742i	0.818186	−	2.02221i
$191$	2.57918	−	5.35572i	0.186623	−	0.387526i	−0.786575	−	0.617494i	$-0.788148\pi$
$191$	2.57918	−	5.35572i	0.186623	−	0.387526i	0.973198	+	0.229968i	$0.0738622\pi$
$192$	−7.98423	−	0.502083i	−0.576212	−	0.0362347i
$193$	1.97841	+	0.952753i	0.142409	+	0.0685807i	0.503731	−	0.863860i	$-0.331960\pi$
$193$	1.97841	+	0.952753i	0.142409	+	0.0685807i	−0.361322	+	0.932441i	$0.617674\pi$
$194$	0.914934	+	14.2022i	0.0656884	+	1.01966i
$195$	−9.16338			−0.656204
$196$	13.9535	−	1.13952i	0.996682	−	0.0813946i
$197$	21.3667			1.52231			0.761156	−	0.648569i	$-0.224632\pi$
$197$	21.3667			1.52231			0.761156	+	0.648569i	$0.224632\pi$
$198$	−0.494947	−	7.68292i	−0.0351744	−	0.546001i
$199$	1.92603	+	0.927527i	0.136533	+	0.0657507i	0.500903	−	0.865504i	$-0.333001\pi$
$199$	1.92603	+	0.927527i	0.136533	+	0.0657507i	−0.364370	+	0.931254i	$0.618716\pi$
$200$	−18.7819	−	15.9680i	−1.32808	−	1.12911i
$201$	2.22714	−	4.62470i	0.157090	−	0.326201i
$202$	−1.64763	+	4.07224i	−0.115927	+	0.286522i
$203$	4.48180	−	17.7005i	0.314560	−	1.24233i
$204$	3.65278	+	2.21215i	0.255746	+	0.154882i
$205$	−23.3614	−	29.2942i	−1.63163	−	2.04600i
$206$	12.2486	+	4.95580i	0.853403	+	0.345287i
$207$	−3.95014	−	3.15013i	−0.274554	−	0.218949i
$208$	9.05345	+	3.99822i	0.627744	+	0.277227i
$209$	−24.4354	−	19.4866i	−1.69023	−	1.34792i
$210$	10.4731	−	9.07395i	0.722713	−	0.626162i
$211$	20.2921	−	16.1824i	1.39697	−	1.11404i	0.418365	−	0.908279i	$-0.362603\pi$
$211$	20.2921	−	16.1824i	1.39697	−	1.11404i	0.978602	−	0.205765i	$-0.0659681\pi$
$212$	0.00978288	+	0.0265474i	0.000671891	+	0.00182328i
$213$	−4.47445	−	1.02126i	−0.306584	−	0.0699759i
$214$	−12.1861	+	11.0719i	−0.833022	+	0.756861i
$215$	34.3926			2.34555
$216$	−1.14660	−	2.58560i	−0.0780161	−	0.175928i
$217$	−20.9775	−	0.494962i	−1.42404	−	0.0336002i
$218$	−1.51763	+	2.17666i	−0.102787	+	0.147422i
$219$	8.90425	−	2.03234i	0.601693	−	0.137333i
$220$	−33.7846	+	22.0124i	−2.27776	+	1.48407i
$221$	−3.29392	−	4.13044i	−0.221573	−	0.277844i
$222$	−1.86774	+	2.67880i	−0.125355	+	0.179789i
$223$	−3.61196	−	15.8250i	−0.241875	−	1.05972i	−0.939308	−	0.343074i	$-0.888532\pi$
$223$	−3.61196	−	15.8250i	−0.241875	−	1.05972i	0.697433	−	0.716650i	$-0.254325\pi$
$224$	−14.3067	+	4.39539i	−0.955904	+	0.293680i
$225$	1.93947	−	8.49738i	0.129298	−	0.566492i
$226$	6.53640	+	7.19414i	0.434795	+	0.478547i
$227$	−25.9443			−1.72198			−0.860991	−	0.508620i	$-0.830156\pi$
$227$	−25.9443			−1.72198			−0.860991	+	0.508620i	$0.830156\pi$
$228$	−10.8988	−	3.61337i	−0.721794	−	0.239302i
$229$	0.692696	+	1.43840i	0.0457746	+	0.0950520i	0.922602	−	0.385754i	$-0.126059\pi$
$229$	0.692696	+	1.43840i	0.0457746	+	0.0950520i	−0.876827	+	0.480806i	$0.840344\pi$
$230$	−4.21765	+	26.1239i	−0.278104	+	1.72256i
$231$	−5.94148	−	13.1207i	−0.390921	−	0.863275i
$232$	−0.612836	+	19.5101i	−0.0402346	+	1.28090i
$233$	0.00248081	−	0.0108691i	0.000162523	−	0.000712060i	−0.974847	−	0.222877i	$-0.928455\pi$
$233$	0.00248081	−	0.0108691i	0.000162523	−	0.000712060i	0.975009	+	0.222165i	$0.0713123\pi$
$234$	0.224953	+	3.49188i	0.0147056	+	0.228271i
$235$	−9.33908	−	19.3928i	−0.609214	−	1.26505i
$236$	10.9672	−	7.14569i	0.713904	−	0.465145i
$237$	−1.69696	+	3.52378i	−0.110229	+	0.228894i
$238$	7.85485	+	1.45904i	0.509154	+	0.0945756i
$239$	4.86370	+	10.0996i	0.314607	+	0.653287i	0.996975	−	0.0777211i	$-0.0247644\pi$
$239$	4.86370	+	10.0996i	0.314607	+	0.653287i	−0.682369	+	0.731008i	$0.739050\pi$
$240$	−8.85001	+	11.8799i	−0.571266	+	0.766843i
$241$	−2.43216	+	0.555124i	−0.156669	+	0.0357587i	−0.300136	−	0.953896i	$-0.597032\pi$
$241$	−2.43216	+	0.555124i	−0.156669	+	0.0357587i	0.143467	+	0.989655i	$0.454175\pi$
$242$	7.50437	+	25.2645i	0.482399	+	1.62406i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	−0.649960	−	0.0624138i	−0.0416094	−	0.00399564i
$245$	12.3373	−	22.8007i	0.788201	−	1.45668i
$246$	−10.5896	+	9.62144i	−0.675169	+	0.613440i
$247$	11.1059	+	8.85664i	0.706650	+	0.563534i
$248$	22.0156	−	4.30254i	1.39799	−	0.273212i
$249$	−1.09475	−	4.79641i	−0.0693769	−	0.303960i
$250$	−18.6566	+	5.54161i	−1.17994	+	0.350482i
$251$	0.147759	−	0.0711571i	0.00932648	−	0.00449140i	−0.429215	−	0.903202i	$-0.641210\pi$
$251$	0.147759	−	0.0711571i	0.00932648	−	0.00449140i	0.438541	+	0.898711i	$0.355495\pi$
$252$	−3.71491	−	3.76822i	−0.234017	−	0.237376i
$253$	24.7810	+	11.9339i	1.55797	+	0.750279i
$254$	−8.43448	−	1.36173i	−0.529227	−	0.0854425i
$255$	7.12462	−	3.43104i	0.446161	−	0.214860i
$256$	13.9273	−	7.87587i	0.870459	−	0.492242i
$257$	−29.0426	−	6.62877i	−1.81163	−	0.413492i	−0.823522	−	0.567284i	$-0.807994\pi$
$257$	−29.0426	−	6.62877i	−1.81163	−	0.413492i	−0.988103	+	0.153793i	$0.950851\pi$
$258$	−0.844307	−	13.1059i	−0.0525643	−	0.815940i
$259$	−1.49960	+	5.92256i	−0.0931809	+	0.368010i
$260$	15.3551	−	10.0046i	0.952281	−	0.620460i
$261$	−6.21784	+	2.99435i	−0.384874	+	0.185346i
$262$	−13.7930	+	7.77204i	−0.852134	+	0.480158i
$263$			5.94951i			0.366863i	0.983033	+	0.183431i	$0.0587205\pi$
$263$			5.94951i			0.366863i	−0.983033	+	0.183431i	$0.941279\pi$
$264$	9.21762	+	12.3339i	0.567305	+	0.759097i
$265$	0.0510772	+	0.0116580i	0.00313765	+	0.000716148i
$266$	−21.4634	+	0.874956i	−1.31601	+	0.0536470i
$267$	15.8757	−	3.62353i	0.971579	−	0.221756i
$268$	1.31725	+	10.1812i	0.0804637	+	0.621915i
$269$	24.2778	−	19.3609i	1.48024	−	1.18046i	0.539197	−	0.842180i	$-0.318728\pi$
$269$	24.2778	−	19.3609i	1.48024	−	1.18046i	0.941047	−	0.338276i	$-0.109844\pi$
$270$	−5.17058	−	0.834779i	−0.314672	−	0.0508031i
$271$	5.76556	+	25.2606i	0.350233	+	1.53447i	0.776644	+	0.629940i	$0.216920\pi$
$271$	5.76556	+	25.2606i	0.350233	+	1.53447i	−0.426411	+	0.904529i	$0.640222\pi$
$272$	−8.53620	+	0.281216i	−0.517583	+	0.0170512i
$273$	2.70040	+	5.96333i	0.163436	+	0.360917i
$274$	11.7172	−	6.60240i	0.707864	−	0.398866i
$275$			47.4485i			2.86125i
$276$	10.0586	+	0.965896i	0.605454	+	0.0581401i
$277$	−5.96100	+	26.1169i	−0.358162	+	1.56921i	0.399607	+	0.916687i	$0.369147\pi$
$277$	−5.96100	+	26.1169i	−0.358162	+	1.56921i	−0.757769	+	0.652523i	$0.773710\pi$
$278$	1.67016	+	0.675749i	0.100170	+	0.0405287i
$279$	4.94487	+	6.20067i	0.296041	+	0.371224i
$280$	−7.64282	+	26.6398i	−0.456746	+	1.59203i
$281$	12.4022	−	15.5518i	0.739852	−	0.927745i	−0.259425	−	0.965763i	$-0.583533\pi$
$281$	12.4022	−	15.5518i	0.739852	−	0.927745i	0.999277	+	0.0380181i	$0.0121044\pi$
$282$	−7.16073	+	4.03491i	−0.426415	+	0.240275i
$283$	6.40666	−	8.03369i	0.380836	−	0.477554i	−0.554059	−	0.832477i	$-0.686922\pi$
$283$	6.40666	−	8.03369i	0.380836	−	0.477554i	0.934895	+	0.354924i	$0.115493\pi$
$284$	8.61285	−	3.17389i	0.511079	−	0.188336i
$285$	−16.6235	+	13.2568i	−0.984688	+	0.785263i
$286$	−5.42392	−	18.2604i	−0.320723	−	1.07976i
$287$	−12.1796	+	23.8359i	−0.718937	+	1.40699i
$288$	4.74431	+	3.08082i	0.279561	+	0.181539i
$289$	−11.2089	−	5.39790i	−0.659345	−	0.317524i
$290$	29.6502	+	20.6731i	1.74112	+	1.21396i
$291$	4.36631	−	9.06674i	0.255958	−	0.531502i
$292$	−12.7019	+	13.1273i	−0.743324	+	0.768215i
$293$		−	4.27345i		−	0.249658i	−0.992178	−	0.124829i	$-0.960162\pi$
$293$		−	4.27345i		−	0.249658i	0.992178	−	0.124829i	$-0.0398382\pi$
$294$	−8.99149	−	4.14163i	−0.524394	−	0.241545i
$295$		−	24.2388i		−	1.41124i
$296$	0.205054	−	6.52807i	0.0119185	−	0.379437i
$297$	−2.36202	+	4.90479i	−0.137058	+	0.284605i
$298$	−8.75500	+	12.5568i	−0.507164	+	0.727396i
$299$	−11.2630	−	5.42396i	−0.651354	−	0.313676i
$300$	6.02749	+	16.3566i	0.347997	+	0.944347i
$301$	−10.1353	−	22.3819i	−0.584189	−	1.29007i
$302$	−16.8602	+	5.00803i	−0.970194	+	0.288179i
$303$	2.42858	−	1.93673i	0.139518	−	0.111262i
$304$	22.2083	−	5.84447i	1.27373	−	0.335203i
$305$	−0.753861	+	0.945312i	−0.0431660	+	0.0541284i
$306$	−1.48237	−	2.63074i	−0.0847412	−	0.150390i
$307$	−14.7618	+	18.5107i	−0.842501	+	1.05646i	0.155145	+	0.987892i	$0.450415\pi$
$307$	−14.7618	+	18.5107i	−0.842501	+	1.05646i	−0.997646	+	0.0685710i	$0.978156\pi$
$308$	24.2813	+	15.4993i	1.38356	+	0.883156i
$309$	−5.82536	−	7.30477i	−0.331393	−	0.415554i
$310$	15.5797	−	38.5063i	0.884865	−	2.18701i
$311$	1.61731	−	7.08590i	0.0917093	−	0.401805i	−0.908149	−	0.418647i	$-0.862504\pi$
$311$	1.61731	−	7.08590i	0.0917093	−	0.401805i	0.999858	+	0.0168428i	$0.00536148\pi$
$312$	−4.18940	−	5.60573i	−0.237178	−	0.317362i
$313$		−	5.48870i		−	0.310240i	−0.987896	−	0.155120i	$-0.950424\pi$
$313$		−	5.48870i		−	0.310240i	0.987896	−	0.155120i	$-0.0495764\pi$
$314$	−15.3162	−	27.1815i	−0.864340	−	1.53394i
$315$	−9.60164	+	1.95444i	−0.540991	+	0.110120i
$316$	−1.00367	−	7.75753i	−0.0564610	−	0.436395i
$317$	7.61891	+	33.3806i	0.427921	+	1.87484i	0.481776	+	0.876295i	$0.339992\pi$
$317$	7.61891	+	33.3806i	0.427921	+	1.87484i	−0.0538550	+	0.998549i	$0.517151\pi$
$318$	0.00318861	−	0.0197501i	0.000178809	−	0.00110753i
$319$	29.3733	−	23.4244i	1.64459	−	1.31152i
$320$	1.85946	−	29.5696i	0.103947	−	1.65299i
$321$	11.3504	−	2.59066i	0.633519	−	0.144597i
$322$	18.2438	−	4.95383i	1.01669	−	0.276066i
$323$	−11.9511	−	2.72776i	−0.664978	−	0.151777i
$324$	−0.191175	+	1.99084i	−0.0106208	+	0.110602i
$325$		−	21.5653i		−	1.19623i
$326$	0.563079	+	0.999292i	0.0311861	+	0.0553457i
$327$	1.69049	−	0.814098i	0.0934845	−	0.0450197i
$328$	7.24029	−	27.6844i	0.399778	−	1.52862i
$329$	−9.86823	+	11.7926i	−0.544053	+	0.650148i
$330$	28.4537	−	1.83304i	1.56632	−	0.100905i
$331$	−17.2965	−	3.94780i	−0.950699	−	0.216991i	−0.281071	−	0.959687i	$-0.590690\pi$
$331$	−17.2965	−	3.94780i	−0.950699	−	0.216991i	−0.669629	+	0.742696i	$0.733547\pi$
$332$	7.07120	+	6.84209i	0.388083	+	0.375508i
$333$	2.08048	−	1.00191i	0.114010	−	0.0549042i
$334$	2.06545	−	12.7933i	0.113017	−	0.700019i
$335$	17.1276	+	8.24820i	0.935778	+	0.450647i
$336$	10.3392	+	2.25846i	0.564050	+	0.123209i
$337$	−22.7866	+	10.9735i	−1.24127	+	0.597763i	−0.935157	−	0.354234i	$-0.884742\pi$
$337$	−22.7866	+	10.9735i	−1.24127	+	0.597763i	−0.306110	+	0.951996i	$0.599028\pi$
$338$	−2.76966	−	9.32443i	−0.150650	−	0.507182i
$339$	−1.52942	−	6.70082i	−0.0830666	−	0.363938i
$340$	−8.19270	+	13.5281i	−0.444312	+	0.733663i
$341$	−33.7558	−	26.9194i	−1.82798	−	1.45777i
$342$	5.45983	+	6.00924i	0.295234	+	0.324942i
$343$	−18.4739	−	1.30961i	−0.997497	−	0.0707125i
$344$	15.7239	+	21.0398i	0.847776	+	1.13439i
$345$	11.6665	−	14.6293i	0.628103	−	0.787617i
$346$	15.8644	−	4.71225i	0.852877	−	0.253332i
$347$	−17.7320	+	4.04722i	−0.951904	+	0.217266i	−0.670154	−	0.742222i	$-0.733772\pi$
$347$	−17.7320	+	4.04722i	−0.951904	+	0.217266i	−0.281750	+	0.959488i	$0.590915\pi$
$348$	7.14998	−	11.8063i	0.383279	−	0.632883i
$349$	−3.86074	−	8.01692i	−0.206661	−	0.429136i	0.771716	−	0.635968i	$-0.219399\pi$
$349$	−3.86074	−	8.01692i	−0.206661	−	0.429136i	−0.978376	+	0.206832i	$0.933685\pi$
$350$	21.3548	+	24.6477i	1.14146	+	1.31747i
$351$	1.07354	−	2.22922i	0.0573012	−	0.118987i
$352$	−28.9121	−	10.6040i	−1.54102	−	0.565197i
$353$	5.01697	+	10.4179i	0.267027	+	0.554487i	0.990765	−	0.135588i	$-0.0432922\pi$
$353$	5.01697	+	10.4179i	0.267027	+	0.554487i	−0.723739	+	0.690074i	$0.757578\pi$
$354$	−9.23667	+	0.595043i	−0.490923	+	0.0316262i
$355$	3.78225	−	16.5711i	0.200741	−	0.879504i
$356$	−22.6468	+	23.4051i	−1.20028	+	1.24047i
$357$	−4.33243	−	3.62544i	−0.229297	−	0.191879i
$358$	−15.4448	−	2.49352i	−0.816281	−	0.131787i
$359$	4.07766	+	8.46735i	0.215211	+	0.446889i	0.980427	−	0.196884i	$-0.0630822\pi$
$359$	4.07766	+	8.46735i	0.215211	+	0.446889i	−0.765216	+	0.643773i	$0.777368\pi$
$360$	9.57576	−	4.24642i	0.504687	−	0.223806i
$361$	13.9604			0.734755
$362$	−6.85759	+	6.23062i	−0.360427	+	0.327474i
$363$	4.14692	−	18.1689i	0.217657	−	0.953617i
$364$	−11.0358	−	7.04443i	−0.578435	−	0.369229i
$365$	7.52675	+	32.9769i	0.393968	+	1.72609i
$366$	0.378736	+	0.264066i	0.0197968	+	0.0138030i
$367$	−4.25673	−	5.33777i	−0.222199	−	0.278629i	0.658219	−	0.752826i	$-0.271310\pi$
$367$	−4.25673	−	5.33777i	−0.222199	−	0.278629i	−0.880419	+	0.474197i	$0.842739\pi$
$368$	−17.9097	+	9.36342i	−0.933607	+	0.488102i
$369$	9.86346	−	2.25127i	0.513471	−	0.117196i
$370$	−9.92094	−	6.91719i	−0.515765	−	0.359608i
$371$	−0.00746538	−	0.0366755i	−0.000387583	−	0.00190410i
$372$	−15.0560	−	4.99163i	−0.780618	−	0.258804i
$373$	−27.9872			−1.44912			−0.724562	−	0.689210i	$-0.757958\pi$
$373$	−27.9872			−1.44912			−0.724562	+	0.689210i	$0.757958\pi$
$374$	11.0544	+	12.1667i	0.571607	+	0.629127i
$375$	13.4168	+	3.06230i	0.692841	+	0.158136i
$376$	7.59389	−	14.5794i	0.391625	−	0.751875i
$377$	−13.3502	+	10.6464i	−0.687568	+	0.548317i
$378$	0.980487	+	3.61091i	0.0504308	+	0.185725i
$379$	4.95993	+	3.95541i	0.254775	+	0.203176i	0.742545	−	0.669796i	$-0.233618\pi$
$379$	4.95993	+	3.95541i	0.254775	+	0.203176i	−0.487771	+	0.872972i	$0.662190\pi$
$380$	13.3821	−	40.3639i	0.686489	−	2.07062i
$381$	4.72328	+	3.76669i	0.241981	+	0.192974i
$382$	3.15303	−	7.79296i	0.161323	−	0.398722i
$383$	−6.55790	−	8.22334i	−0.335093	−	0.420193i	0.585527	−	0.810653i	$-0.300888\pi$
$383$	−6.55790	−	8.22334i	−0.335093	−	0.420193i	−0.920620	+	0.390460i	$0.872316\pi$
$384$	−11.3137	+	0.0173243i	−0.577350	+	0.000884077i
$385$	48.5923	−	22.0043i	2.47649	−	1.12144i
$386$	2.87873	+	1.16474i	0.146524	+	0.0592835i
$387$	−4.02926	+	8.36685i	−0.204819	+	0.425311i
$388$	2.58247	+	19.9603i	0.131105	+	1.01333i
$389$	−5.82717	−	2.80622i	−0.295449	−	0.142281i	0.280287	−	0.959916i	$-0.409570\pi$
$389$	−5.82717	−	2.80622i	−0.295449	−	0.142281i	−0.575737	+	0.817635i	$0.695285\pi$
$390$	−12.9322	+	0.833114i	−0.654846	+	0.0421864i
$391$	10.7880			0.545570
$392$	19.5889	−	2.87682i	0.989387	−	0.145301i
$393$	11.1949			0.564708
$394$	30.1545	−	1.94261i	1.51916	−	0.0978672i
$395$	−13.0503	−	6.28469i	−0.656632	−	0.316217i
$396$	−1.39703	−	10.7978i	−0.0702032	−	0.542610i
$397$	−0.902240	+	1.87352i	−0.0452821	+	0.0940293i	−0.922382	−	0.386278i	$-0.873761\pi$
$397$	−0.902240	+	1.87352i	−0.0452821	+	0.0940293i	0.877100	+	0.480307i	$0.159475\pi$
$398$	2.80251	+	1.13390i	0.140477	+	0.0568372i
$399$	13.5260	+	6.91148i	0.677149	+	0.346007i
$400$	−27.9584	−	20.8278i	−1.39792	−	1.04139i
$401$	0.699600	+	0.877271i	0.0349364	+	0.0438088i	0.798993	−	0.601341i	$-0.205367\pi$
$401$	0.699600	+	0.877271i	0.0349364	+	0.0438088i	−0.764056	+	0.645149i	$0.776795\pi$
$402$	2.72266	−	6.72926i	0.135794	−	0.335625i
$403$	15.3420	+	12.2348i	0.764240	+	0.609461i
$404$	−1.95504	+	5.89690i	−0.0972669	+	0.293382i
$405$	2.89551	+	2.30909i	0.143879	+	0.114740i
$406$	4.71582	−	25.3879i	0.234042	−	1.25998i
$407$	−9.82829	+	7.83780i	−0.487170	+	0.388505i
$408$	5.35625	+	2.78988i	0.265174	+	0.138120i
$409$	32.6109	+	7.44322i	1.61250	+	0.368044i	0.931358	−	0.364104i	$-0.118625\pi$
$409$	32.6109	+	7.44322i	1.61250	+	0.368044i	0.681146	+	0.732148i	$0.261482\pi$
$410$	−35.6330	−	39.2186i	−1.75979	−	1.93687i
$411$	−9.51013			−0.469100
$412$	17.7369	+	5.88045i	0.873835	+	0.289709i
$413$	−15.7741	+	7.14305i	−0.776193	+	0.351487i
$414$	−5.86119	−	4.08660i	−0.288062	−	0.200846i
$415$	17.7635	−	4.05440i	0.871976	−	0.199023i
$416$	13.1405	+	4.81952i	0.644267	+	0.236297i
$417$	−0.794318	−	0.996043i	−0.0388979	−	0.0487764i
$418$	−36.2571	−	25.2796i	−1.77339	−	1.23646i
$419$	0.0984373	+	0.431282i	0.00480897	+	0.0210695i	0.977275	−	0.211973i	$-0.0679890\pi$
$419$	0.0984373	+	0.431282i	0.00480897	+	0.0210695i	−0.972467	+	0.233043i	$0.925132\pi$
$420$	13.9556	−	13.7581i	0.680963	−	0.671329i
$421$	1.15276	−	5.05057i	0.0561821	−	0.246150i	−0.939037	−	0.343816i	$-0.888280\pi$
$421$	1.15276	−	5.05057i	0.0561821	−	0.246150i	0.995219	+	0.0976658i	$0.0311376\pi$
$422$	27.1667	−	24.6830i	1.32246	−	1.20155i
$423$	5.81191			0.282585
$424$	0.0162201	+	0.0365766i	0.000787717	+	0.00177632i
$425$	8.07469	+	16.7673i	0.391680	+	0.813332i
$426$	−6.40759	−	1.03449i	−0.310449	−	0.0501213i
$427$	0.837346	+	0.212018i	0.0405220	+	0.0102603i
$428$	−16.1914	+	16.7336i	−0.782641	+	0.808849i
$429$	−2.99726	+	13.1319i	−0.144709	+	0.634013i
$430$	48.5378	−	3.12689i	2.34070	−	0.150792i
$431$	1.23454	+	2.56355i	0.0594657	+	0.123482i	0.928584	−	0.371123i	$-0.121027\pi$
$431$	1.23454	+	2.56355i	0.0594657	+	0.123482i	−0.869118	+	0.494605i	$0.835313\pi$
$432$	−1.85326	−	3.54478i	−0.0891648	−	0.170548i
$433$	7.38365	−	15.3323i	0.354836	−	0.736824i	−0.644785	−	0.764364i	$-0.723053\pi$
$433$	7.38365	−	15.3323i	0.354836	−	0.736824i	0.999621	+	0.0275400i	$0.00876738\pi$
$434$	−29.6503	+	1.20869i	−1.42326	+	0.0580190i
$435$	−11.0896	−	23.0277i	−0.531705	−	1.10410i
$436$	−1.94392	+	3.20987i	−0.0930969	+	0.153725i
$437$	−28.2792	+	6.45455i	−1.35278	+	0.308763i
$438$	12.3817	−	3.67776i	0.591620	−	0.175730i
$439$	16.7790	−	21.0402i	0.800820	−	1.00420i	−0.198888	−	0.980022i	$-0.563733\pi$
$439$	16.7790	−	21.0402i	0.800820	−	1.00420i	0.999708	−	0.0241739i	$-0.00769553\pi$
$440$	−45.6785	+	34.1374i	−2.17764	+	1.62744i
$441$	4.10145	+	5.67257i	0.195307	+	0.270122i
$442$	−5.02420	−	5.52977i	−0.238977	−	0.263024i
$443$	13.9766	+	11.1460i	0.664047	+	0.529560i	0.896498	−	0.443048i	$-0.146103\pi$
$443$	13.9766	+	11.1460i	0.664047	+	0.529560i	−0.232450	+	0.972608i	$0.574674\pi$
$444$	−2.39238	+	3.95037i	−0.113537	+	0.187476i
$445$	13.4197	+	58.7957i	0.636157	+	2.78719i
$446$	−6.53630	−	22.0053i	−0.309503	−	1.04198i
$447$	9.75220	−	4.69641i	0.461263	−	0.222133i
$448$	−19.7912	+	7.50390i	−0.935046	+	0.354526i
$449$	−24.6011	−	11.8472i	−1.16100	−	0.559106i	−0.248677	−	0.968586i	$-0.579996\pi$
$449$	−24.6011	−	11.8472i	−1.16100	−	0.559106i	−0.912319	+	0.409480i	$0.865710\pi$
$450$	1.96459	−	12.1686i	0.0926117	−	0.573632i
$451$	−49.6223	+	23.8968i	−2.33662	+	1.12526i
$452$	9.87881	+	9.55873i	0.464660	+	0.449605i
$453$	12.1249	+	2.76744i	0.569679	+	0.130026i
$454$	−36.6149	+	2.35879i	−1.71842	+	0.110704i
$455$	−22.0852	+	10.0009i	−1.03537	+	0.468850i
$456$	−15.7099	−	4.10861i	−0.735685	−	0.192403i
$457$	−10.9302	+	5.26372i	−0.511294	+	0.246226i	−0.671698	−	0.740825i	$-0.734435\pi$
$457$	−10.9302	+	5.26372i	−0.511294	+	0.246226i	0.160404	+	0.987051i	$0.448720\pi$
$458$	1.10837	+	1.96702i	0.0517907	+	0.0919126i
$459$			2.13521i			0.0996629i
$460$	−3.57719	+	37.2519i	−0.166788	+	1.73688i
$461$	9.63688	+	2.19955i	0.448834	+	0.102443i	0.440962	−	0.897526i	$-0.354637\pi$
$461$	9.63688	+	2.19955i	0.448834	+	0.102443i	0.00787174	+	0.999969i	$0.497494\pi$
$462$	−9.57804	−	17.9768i	−0.445611	−	0.836358i
$463$	35.7111	−	8.15082i	1.65964	−	0.378801i	0.713014	−	0.701150i	$-0.247330\pi$
$463$	35.7111	−	8.15082i	1.65964	−	0.378801i	0.946621	+	0.322349i	$0.104472\pi$
$464$	0.908929	+	27.5901i	0.0421960	+	1.28084i
$465$	−22.9642	+	18.3133i	−1.06494	+	0.849259i
$466$	0.00251294	−	0.0155650i	0.000116410	−	0.000721035i
$467$	0.300731	+	1.31759i	0.0139162	+	0.0609708i	0.981409	−	0.191927i	$-0.0614736\pi$
$467$	0.300731	+	1.31759i	0.0139162	+	0.0609708i	−0.967493	+	0.252898i	$0.918616\pi$
$468$	0.634947	+	4.90760i	0.0293505	+	0.226854i
$469$	0.320346	−	13.5769i	0.0147922	−	0.626924i
$470$	−14.9433	−	26.5197i	−0.689282	−	1.22326i
$471$			22.0615i			1.01654i
$472$	14.8282	−	11.0817i	0.682523	−	0.510078i
$473$	11.2495	−	49.2873i	0.517253	−	2.26623i
$474$	−2.07453	+	5.12735i	−0.0952862	+	0.235507i
$475$	−31.1988	−	39.1220i	−1.43150	−	1.79504i
$476$	11.2181	+	1.34498i	0.514181	+	0.0616471i
$477$	−0.00882007	+	0.0110600i	−0.000403843	+	0.000506403i
$478$	7.78231	+	13.8112i	0.355955	+	0.631710i
$479$	2.60542	−	3.26710i	0.119045	−	0.149277i	−0.718738	−	0.695281i	$-0.755280\pi$
$479$	2.60542	−	3.26710i	0.119045	−	0.149277i	0.837783	+	0.546003i	$0.183851\pi$
$480$	−11.4098	+	17.5706i	−0.520785	+	0.801983i
$481$	4.46695	−	3.56227i	0.203675	−	0.162426i
$482$	−3.38200	+	1.00457i	−0.154046	+	0.0457567i
$483$	−12.9585	−	3.28112i	−0.589632	−	0.149296i
$484$	12.8878	+	34.9731i	0.585810	+	1.58969i
$485$	33.5786	+	16.1706i	1.52473	+	0.734270i
$486$	0.808841	−	1.16008i	0.0366898	−	0.0526221i
$487$	10.4547	−	21.7093i	0.473746	−	0.983744i	−0.517983	−	0.855391i	$-0.673317\pi$
$487$	10.4547	−	21.7093i	0.473746	−	0.983744i	0.991729	−	0.128353i	$-0.0409689\pi$
$488$	−0.922955	−	0.0289911i	−0.0417802	−	0.00131236i
$489$		−	0.811062i		−	0.0366775i
$490$	15.3385	−	33.3000i	0.692923	−	1.50434i
$491$			18.2679i			0.824417i	0.911090	+	0.412208i	$0.135242\pi$
$491$			18.2679i			0.824417i	−0.911090	+	0.412208i	$0.864758\pi$
$492$	−14.0702	+	14.5414i	−0.634335	+	0.655577i
$493$	6.39356	−	13.2764i	0.287952	−	0.597937i
$494$	16.4788	+	11.4895i	0.741417	+	0.516939i
$495$	−18.1649	−	8.74774i	−0.816451	−	0.393182i
$496$	30.6792	−	8.07373i	1.37754	−	0.362521i
$497$	−11.8987	+	2.42201i	−0.533731	+	0.108642i
$498$	−1.98109	−	6.66958i	−0.0887745	−	0.298871i
$499$	−11.6362	+	9.27954i	−0.520907	+	0.415409i	−0.848330	−	0.529469i	$-0.822391\pi$
$499$	−11.6362	+	9.27954i	−0.520907	+	0.415409i	0.327423	+	0.944878i	$0.393820\pi$
$500$	−25.8259	+	9.51702i	−1.15497	+	0.425614i
$501$	−5.71327	+	7.16422i	−0.255250	+	0.320074i
$502$	0.202061	−	0.113857i	0.00901844	−	0.00508169i
$503$	1.70473	−	2.13767i	0.0760103	−	0.0953139i	−0.742372	−	0.669987i	$-0.766299\pi$
$503$	1.70473	−	2.13767i	0.0760103	−	0.0953139i	0.818383	+	0.574673i	$0.194871\pi$
$504$	−5.58540	−	4.98029i	−0.248793	−	0.221840i
$505$	7.17266	+	8.99423i	0.319179	+	0.400238i
$506$	36.0582	+	14.5892i	1.60298	+	0.648567i
$507$	−1.53052	+	6.70564i	−0.0679727	+	0.297808i
$508$	−12.0273	−	1.15495i	−0.533625	−	0.0512425i
$509$			1.14448i			0.0507280i	0.999678	+	0.0253640i	$0.00807448\pi$
$509$			1.14448i			0.0507280i	−0.999678	+	0.0253640i	$0.991926\pi$
$510$	9.74295	−	5.48994i	0.431425	−	0.243098i
$511$	19.2425	−	14.6163i	0.851239	−	0.646589i
$512$	18.9394	−	12.3814i	0.837012	−	0.547184i
$513$	−1.27752	−	5.59717i	−0.0564038	−	0.247121i
$514$	−41.5901	−	6.71463i	−1.83446	−	0.296170i
$515$	27.0532	−	21.5742i	1.19211	−	0.950673i
$516$	−2.38312	−	18.4195i	−0.104911	−	0.810872i
$517$	−30.8462	+	7.04044i	−1.35661	+	0.309638i
$518$	−1.57791	+	8.49478i	−0.0693293	+	0.373239i
$519$	−11.4088	−	2.60400i	−0.500793	−	0.114303i
$520$	20.7608	−	15.5154i	0.910423	−	0.680397i
$521$		−	23.9627i		−	1.04983i	−0.851156	−	0.524913i	$-0.824098\pi$
$521$		−	23.9627i		−	1.04983i	0.851156	−	0.524913i	$-0.175902\pi$
$522$	−8.50292	+	4.79121i	−0.372163	+	0.209705i
$523$	−2.93963	+	1.41565i	−0.128541	+	0.0619020i	−0.497049	−	0.867723i	$-0.665583\pi$
$523$	−2.93963	+	1.41565i	−0.128541	+	0.0619020i	0.368508	+	0.929625i	$0.379869\pi$
$524$	−18.7593	+	12.2226i	−0.819503	+	0.533948i
$525$	−4.59962	−	22.5967i	−0.200744	−	0.986202i
$526$	0.540916	+	8.39648i	0.0235851	+	0.366104i
$527$	−16.5096	−	3.76822i	−0.719171	−	0.164146i
$528$	14.1301	+	16.5686i	0.614933	+	0.721056i
$529$	2.27667	−	1.09639i	0.0989857	−	0.0476690i
$530$	0.0731446	+	0.0118090i	0.00317720	+	0.000512952i
$531$	5.89671	+	2.83970i	0.255895	+	0.123233i
$532$	−30.2116	+	3.18622i	−1.30984	+	0.138140i
$533$	22.5533	−	10.8611i	0.976892	−	0.470446i
$534$	22.0758	−	6.55723i	0.955312	−	0.283759i
$535$	9.59451	+	42.0363i	0.414807	+	1.81739i
$536$	2.78467	+	14.2488i	0.120279	+	0.615456i
$537$	8.64902	+	6.89736i	0.373233	+	0.297643i
$538$	32.5027	−	29.5311i	1.40129	−	1.27318i
$539$	−28.6398	−	25.1383i	−1.23360	−	1.08278i
$540$	−7.37308	−	0.708017i	−0.317287	−	0.0304682i
$541$	1.05585	−	1.32399i	0.0453944	−	0.0569228i	−0.758616	−	0.651538i	$-0.774124\pi$
$541$	1.05585	−	1.32399i	0.0453944	−	0.0569228i	0.804010	+	0.594615i	$0.202696\pi$
$542$	10.4335	+	35.1257i	0.448157	+	1.50878i
$543$	6.38735	−	1.45787i	0.274107	−	0.0625632i
$544$	−12.0215	+	1.17297i	−0.515416	+	0.0502906i
$545$	3.01501	+	6.26074i	0.129149	+	0.268181i
$546$	4.35321	+	8.17046i	0.186300	+	0.349663i
$547$	−17.4404	+	36.2155i	−0.745700	+	1.54846i	0.0879229	+	0.996127i	$0.471977\pi$
$547$	−17.4404	+	36.2155i	−0.745700	+	1.54846i	−0.833623	+	0.552334i	$0.813737\pi$
$548$	15.9361	−	10.3832i	0.680757	−	0.443548i
$549$	−0.141652	−	0.294144i	−0.00604557	−	0.0125537i
$550$	4.31391	+	66.9636i	0.183946	+	2.85534i
$551$	−8.81650	+	38.6276i	−0.375596	+	1.64559i
$552$	14.2833	+	0.448656i	0.607940	+	0.0190961i
$553$	−0.244087	+	10.3449i	−0.0103796	+	0.439910i
$554$	−6.03821	+	37.4004i	−0.256539	+	1.58899i
$555$	3.71056	+	7.70506i	0.157505	+	0.327062i
$556$	2.41852	+	0.801829i	0.102568	+	0.0340051i
$557$	8.46113			0.358510			0.179255	−	0.983803i	$-0.442631\pi$
$557$	8.46113			0.358510			0.179255	+	0.983803i	$0.442631\pi$
$558$	7.54238	+	8.30135i	0.319294	+	0.351424i
$559$	−5.11289	+	22.4010i	−0.216252	+	0.947463i
$560$	−8.36419	+	38.2913i	−0.353451	+	1.61810i
$561$	−2.58655	−	11.3324i	−0.109204	−	0.478455i
$562$	16.0891	−	23.0757i	0.678678	−	0.973390i
$563$	14.9290	+	18.7204i	0.629183	+	0.788970i	0.989604	−	0.143819i	$-0.0459384\pi$
$563$	14.9290	+	18.7204i	0.629183	+	0.788970i	−0.360421	+	0.932790i	$0.617367\pi$
$564$	−9.73900	+	6.34546i	−0.410086	+	0.267192i
$565$	24.8165	−	5.66420i	1.04404	−	0.238295i
$566$	8.31123	−	11.9203i	0.349347	−	0.501049i
$567$	0.649415	−	2.56481i	0.0272729	−	0.107712i
$568$	11.8667	−	5.26233i	0.497914	−	0.220803i
$569$	26.7959			1.12334			0.561672	−	0.827360i	$-0.310158\pi$
$569$	26.7959			1.12334			0.561672	+	0.827360i	$0.310158\pi$
$570$	−22.2552	+	20.2205i	−0.932168	+	0.846943i
$571$	−29.0964	−	6.64107i	−1.21765	−	0.277920i	−0.435026	−	0.900418i	$-0.643261\pi$
$571$	−29.0964	−	6.64107i	−1.21765	−	0.277920i	−0.782622	+	0.622497i	$0.786118\pi$
$572$	−9.31491	−	25.2775i	−0.389476	−	1.05690i
$573$	−4.64752	+	3.70627i	−0.194153	+	0.154832i
$574$	−15.0218	+	34.7467i	−0.626996	+	1.45030i
$575$	34.4290	+	27.4562i	1.43579	+	1.14500i
$576$	6.97570	+	3.91659i	0.290654	+	0.163191i
$577$	0.765397	+	0.610384i	0.0318639	+	0.0254106i	0.639292	−	0.768964i	$-0.279227\pi$
$577$	0.765397	+	0.610384i	0.0318639	+	0.0254106i	−0.607428	+	0.794374i	$0.707799\pi$
$578$	−16.3097	−	6.59891i	−0.678394	−	0.274478i
$579$	−1.36910	−	1.71680i	−0.0568980	−	0.0713479i
$580$	43.7246	+	26.4799i	1.81556	+	1.09952i
$581$	−7.87332	−	10.3653i	−0.326640	−	0.430024i
$582$	5.33779	−	13.1928i	0.221259	−	0.546857i
$583$	0.0334138	−	0.0693846i	0.00138386	−	0.00287361i
$584$	−16.7326	+	19.6812i	−0.692399	+	0.814413i
$585$	8.25592	+	3.97584i	0.341340	+	0.164381i
$586$	−0.388532	−	6.03107i	−0.0160501	−	0.249141i
$587$	3.11793			0.128691			0.0643455	−	0.997928i	$-0.479504\pi$
$587$	3.11793			0.128691			0.0643455	+	0.997928i	$0.479504\pi$
$588$	−13.0661	−	5.02754i	−0.538838	−	0.207332i
$589$	45.5325			1.87613
$590$	−2.20374	−	34.2080i	−0.0907265	−	1.40832i
$591$	−19.2507	−	9.27065i	−0.791868	−	0.381344i
$592$	−0.304127	−	9.23164i	−0.0124995	−	0.379418i
$593$	−12.4794	+	25.9137i	−0.512467	+	1.06415i	0.470844	+	0.882216i	$0.343949\pi$
$593$	−12.4794	+	25.9137i	−0.512467	+	1.06415i	−0.983311	+	0.181932i	$0.941765\pi$
$594$	−2.88756	+	7.13682i	−0.118478	+	0.292827i
$595$	13.4268	−	16.0451i	0.550445	−	0.657787i
$596$	−11.2142	+	18.5173i	−0.459351	+	0.758496i
$597$	−1.33285	−	1.67135i	−0.0545501	−	0.0684037i
$598$	−16.3884	−	6.63076i	−0.670172	−	0.271152i
$599$	−27.8365	−	22.1989i	−1.13737	−	0.907022i	−0.140821	−	0.990035i	$-0.544974\pi$
$599$	−27.8365	−	22.1989i	−1.13737	−	0.907022i	−0.996548	+	0.0830136i	$0.973546\pi$
$600$	9.99363	+	22.5358i	0.407988	+	0.920021i
$601$	15.8761	+	12.6608i	0.647600	+	0.516443i	0.891304	−	0.453406i	$-0.149791\pi$
$601$	15.8761	+	12.6608i	0.647600	+	0.516443i	−0.243704	+	0.969850i	$0.578363\pi$
$602$	−16.3387	−	30.6658i	−0.665917	−	1.24985i
$603$	−4.01316	+	3.20039i	−0.163429	+	0.130330i
$604$	−23.3392	+	8.60065i	−0.949661	+	0.349956i
$605$	67.2883	+	15.3581i	2.73566	+	0.624396i
$606$	3.25134	−	2.95408i	0.132077	−	0.120001i
$607$	2.11282			0.0857568			0.0428784	−	0.999080i	$-0.486347\pi$
$607$	2.11282			0.0857568			0.0428784	+	0.999080i	$0.486347\pi$
$608$	30.8109	−	10.2674i	1.24955	−	0.416396i
$609$	−11.7179	+	14.0030i	−0.474834	+	0.567430i
$610$	−0.977969	+	1.40265i	−0.0395968	+	0.0567915i
$611$	14.0196	−	3.19988i	0.567171	−	0.129453i
$612$	−2.33123	−	3.57796i	−0.0942342	−	0.144631i
$613$	0.454814	+	0.570319i	0.0183698	+	0.0230350i	0.790932	−	0.611905i	$-0.209596\pi$
$613$	0.454814	+	0.570319i	0.0183698	+	0.0230350i	−0.772562	+	0.634940i	$0.781025\pi$
$614$	−19.1502	+	27.4661i	−0.772840	+	1.10844i
$615$	8.33757	+	36.5293i	0.336203	+	1.47300i
$616$	35.6771	+	19.6664i	1.43747	+	0.792383i
$617$	−8.88213	+	38.9152i	−0.357581	+	1.56667i	0.401618	+	0.915807i	$0.368448\pi$
$617$	−8.88213	+	38.9152i	−0.357581	+	1.56667i	−0.759199	+	0.650858i	$0.774409\pi$
$618$	−8.88539	−	9.77951i	−0.357423	−	0.393389i
$619$	−2.72285			−0.109440			−0.0547202	−	0.998502i	$-0.517427\pi$
$619$	−2.72285			−0.109440			−0.0547202	+	0.998502i	$0.517427\pi$
$620$	18.4865	−	55.7599i	0.742435	−	2.23937i
$621$	2.19216	+	4.55207i	0.0879684	+	0.182668i
$622$	1.63826	−	10.1473i	0.0656881	−	0.406869i
$623$	34.3082	−	26.0600i	1.37453	−	1.04407i
$624$	−6.42211	−	7.53042i	−0.257090	−	0.301458i
$625$	−1.64386	+	7.20222i	−0.0657544	+	0.288089i
$626$	−0.499020	−	7.74613i	−0.0199448	−	0.309598i
$627$	13.5606	+	28.1589i	0.541559	+	1.12456i
$628$	−24.0868	−	36.9684i	−0.961167	−	1.47520i
$629$	−2.13928	+	4.44226i	−0.0852987	+	0.177124i
$630$	−13.3730	+	3.63123i	−0.532793	+	0.144672i
$631$	−4.16458	−	8.64783i	−0.165789	−	0.344265i	0.801478	−	0.598024i	$-0.204047\pi$
$631$	−4.16458	−	8.64783i	−0.165789	−	0.344265i	−0.967267	+	0.253759i	$0.918333\pi$
$632$	−2.12177	−	10.8569i	−0.0843995	−	0.431863i
$633$	−25.3038	+	5.77544i	−1.00574	+	0.229553i
$634$	13.7874	+	46.4170i	0.547566	+	1.84345i
$635$	−13.9499	+	17.4927i	−0.553587	+	0.694176i
$636$	0.00270442	−	0.0281630i	0.000107237	−	0.00111674i
$637$	13.0168	+	11.4253i	0.515743	+	0.452688i
$638$	39.3245	−	35.7292i	1.55687	−	1.41453i
$639$	3.58823	+	2.86152i	0.141948	+	0.113200i
$640$	−0.0641606	−	41.9003i	−0.00253617	−	1.65625i
$641$	9.04196	+	39.6154i	0.357136	+	1.56471i	0.760291	+	0.649583i	$0.225056\pi$
$641$	9.04196	+	39.6154i	0.357136	+	1.56471i	−0.403155	+	0.915132i	$0.632086\pi$
$642$	15.7832	−	4.68812i	0.622913	−	0.185025i
$643$	−12.6313	+	6.08291i	−0.498129	+	0.239886i	−0.666040	−	0.745916i	$-0.732012\pi$
$643$	−12.6313	+	6.08291i	−0.498129	+	0.239886i	0.167911	+	0.985802i	$0.446298\pi$
$644$	25.2969	−	8.64996i	0.996836	−	0.340856i
$645$	−30.9866	−	14.9224i	−1.22010	−	0.587568i
$646$	−17.1145	−	2.76309i	−0.673360	−	0.108712i
$647$	−23.2451	+	11.1943i	−0.913859	+	0.440091i	−0.830875	−	0.556459i	$-0.812159\pi$
$647$	−23.2451	+	11.1943i	−0.913859	+	0.440091i	−0.0829844	+	0.996551i	$0.526445\pi$
$648$	−0.0888003	+	2.82703i	−0.00348841	+	0.111056i
$649$	−34.7362	−	7.92832i	−1.36352	−	0.311214i
$650$	−1.96067	−	30.4349i	−0.0769038	−	1.19375i
$651$	18.6853	+	9.54773i	0.732335	+	0.374205i
$652$	0.885520	+	1.35910i	0.0346796	+	0.0532263i
$653$	−34.3473	+	16.5408i	−1.34411	+	0.647291i	−0.961035	−	0.276426i	$-0.910850\pi$
$653$	−34.3473	+	16.5408i	−1.34411	+	0.647291i	−0.383077	+	0.923716i	$0.625136\pi$
$654$	2.31176	−	1.30262i	0.0903968	−	0.0509366i
$655$			41.4603i			1.61999i
$656$	7.70113	−	39.7289i	0.300679	−	1.55115i
$657$	−8.90425	−	2.03234i	−0.347388	−	0.0792890i
$658$	−12.8548	+	17.5400i	−0.501130	+	0.683779i
$659$	−4.32177	+	0.986415i	−0.168352	+	0.0384253i	−0.305866	−	0.952075i	$-0.598946\pi$
$659$	−4.32177	+	0.986415i	−0.168352	+	0.0384253i	0.137514	+	0.990500i	$0.456089\pi$
$660$	39.9897	−	5.17389i	1.55660	−	0.201393i
$661$	−5.08442	+	4.05469i	−0.197761	+	0.157709i	−0.717364	−	0.696699i	$-0.754651\pi$
$661$	−5.08442	+	4.05469i	−0.197761	+	0.157709i	0.519603	+	0.854408i	$0.326080\pi$
$662$	−24.7692	−	3.99893i	−0.962683	−	0.155423i
$663$	1.17559	+	5.15058i	0.0456560	+	0.200032i
$664$	10.6016	+	9.01326i	0.411421	+	0.349782i
$665$	−25.5967	+	50.0937i	−0.992596	+	1.94255i
$666$	2.84507	−	1.60313i	0.110244	−	0.0621201i
$667$		−	34.8681i		−	1.35010i
$668$	1.75181	−	18.2428i	0.0677795	−	0.705837i
$669$	−3.61196	+	15.8250i	−0.139647	+	0.611832i
$670$	24.9218	+	10.0834i	0.962814	+	0.389555i
$671$	1.10813	+	1.38955i	0.0427788	+	0.0536429i
$672$	14.7969	+	2.24731i	0.570805	+	0.0866920i
$673$	0.338176	−	0.424059i	0.0130357	−	0.0163463i	−0.775271	−	0.631629i	$-0.782387\pi$
$673$	0.338176	−	0.424059i	0.0130357	−	0.0163463i	0.788307	+	0.615283i	$0.210958\pi$
$674$	−31.1608	+	17.5584i	−1.20027	+	0.676325i
$675$	−5.43428	+	6.81437i	−0.209165	+	0.262285i
$676$	−4.75655	−	12.9077i	−0.182944	−	0.496448i
$677$	−12.0262	+	9.59053i	−0.462203	+	0.368594i	−0.826730	−	0.562598i	$-0.809802\pi$
$677$	−12.0262	+	9.59053i	−0.462203	+	0.368594i	0.364528	+	0.931192i	$0.381230\pi$
$678$	−2.76767	−	9.31773i	−0.106292	−	0.357845i
$679$	0.628040	−	26.6176i	0.0241020	−	1.02149i
$680$	−10.3323	+	19.8369i	−0.396227	+	0.760709i
$681$	23.3750	+	11.2568i	0.895732	+	0.431362i
$682$	−50.0867	−	34.9220i	−1.91792	−	1.33723i
$683$	−20.8844	+	43.3668i	−0.799118	+	1.65939i	−0.0483396	+	0.998831i	$0.515393\pi$
$683$	−20.8844	+	43.3668i	−0.799118	+	1.65939i	−0.750778	+	0.660554i	$0.770321\pi$
$684$	8.25174	+	7.98437i	0.315513	+	0.305290i
$685$		−	35.2208i		−	1.34572i
$686$	−26.1911	−	0.168638i	−0.999979	−	0.00643864i
$687$		−	1.59650i		−	0.0609103i
$688$	24.1038	+	28.2636i	0.918950	+	1.07754i
$689$	−0.0151866	+	0.0315352i	−0.000578562	+	0.00120140i
$690$	15.1347	−	21.7069i	0.576169	−	0.826367i
$691$	31.3638	+	15.1040i	1.19314	+	0.574584i	0.921712	−	0.387876i	$-0.126791\pi$
$691$	31.3638	+	15.1040i	1.19314	+	0.574584i	0.271424	+	0.962460i	$0.412505\pi$
$692$	21.9608	−	8.09270i	0.834826	−	0.307638i
$693$	−0.339748	+	14.3992i	−0.0129060	+	0.546981i
$694$	−24.6570	+	7.32394i	−0.935968	+	0.278013i
$695$	3.68884	−	2.94175i	0.139926	−	0.111587i
$696$	9.01728	−	17.3121i	0.341799	−	0.656215i
$697$	−13.4687	+	16.8892i	−0.510164	+	0.639725i
$698$	−6.17750	−	10.9632i	−0.233822	−	0.414962i
$699$	−0.00695106	+	0.00871636i	−0.000262913	+	0.000329683i
$700$	32.3788	+	32.8434i	1.22380	+	1.24137i
$701$	7.90747	+	9.91565i	0.298661	+	0.374509i	0.908406	−	0.418088i	$-0.137300\pi$
$701$	7.90747	+	9.91565i	0.298661	+	0.374509i	−0.609745	+	0.792597i	$0.708728\pi$
$702$	1.31239	−	3.24368i	0.0495331	−	0.122425i
$703$	2.94999	−	12.9248i	0.111261	−	0.487467i
$704$	−41.7674	−	12.3367i	−1.57417	−	0.464958i
$705$			21.5244i			0.810655i
$706$	8.02756	+	14.2465i	0.302121	+	0.536173i
$707$	3.73950	−	7.31836i	0.140639	−	0.275235i
$708$	−12.9815	+	1.67955i	−0.487875	+	0.0631215i
$709$	−7.21778	−	31.6232i	−0.271069	−	1.18763i	−0.908753	−	0.417334i	$-0.862964\pi$
$709$	−7.21778	−	31.6232i	−0.271069	−	1.18763i	0.637684	−	0.770298i	$-0.279893\pi$
$710$	3.83124	−	23.7305i	0.143784	−	0.890590i
$711$	3.05782	−	2.43853i	0.114677	−	0.0914519i
$712$	−29.8332	+	35.0903i	−1.11804	+	1.31507i
$713$	−39.0658	+	8.91652i	−1.46303	+	0.333926i
$714$	−6.44392	−	4.72264i	−0.241158	−	0.176740i
$715$	−48.6339	−	11.1004i	−1.81880	−	0.415130i
$716$	−22.0237	−	2.11488i	−0.823064	−	0.0790366i
$717$		−	11.2097i		−	0.418633i
$718$	6.52458	+	11.5791i	0.243495	+	0.432129i
$719$	11.5281	−	5.55164i	0.429926	−	0.207041i	−0.206391	−	0.978470i	$-0.566172\pi$
$719$	11.5281	−	5.55164i	0.429926	−	0.207041i	0.636316	+	0.771428i	$0.280457\pi$
$720$	13.1281	−	6.86353i	0.489255	−	0.255789i
$721$	−22.0124	−	11.2478i	−0.819786	−	0.418891i
$722$	19.7021	−	1.26924i	0.733235	−	0.0472363i
$723$	2.43216	+	0.555124i	0.0904529	+	0.0206453i
$724$	−9.11157	+	9.41668i	−0.338629	+	0.349968i
$725$	54.1941	−	26.0985i	2.01272	−	0.969273i
$726$	4.20063	−	26.0185i	0.155900	−	0.965638i
$727$	−9.99392	−	4.81282i	−0.370654	−	0.178498i	0.239278	−	0.970951i	$-0.423089\pi$
$727$	−9.99392	−	4.81282i	−0.370654	−	0.178498i	−0.609932	+	0.792453i	$0.708803\pi$
$728$	−16.2152	−	8.93837i	−0.600975	−	0.331278i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	13.6206	+	45.8555i	0.504121	+	1.69719i
$731$	−4.41228	−	19.3315i	−0.163194	−	0.715000i
$732$	0.558513	+	0.338240i	0.0206432	+	0.0125017i
$733$	−1.44980	−	1.15618i	−0.0535498	−	0.0427045i	0.596349	−	0.802725i	$-0.296617\pi$
$733$	−1.44980	−	1.15618i	−0.0535498	−	0.0427045i	−0.649899	+	0.760021i	$0.725189\pi$
$734$	−6.49277	−	7.14612i	−0.239652	−	0.263768i
$735$	−21.0084	+	15.1897i	−0.774905	+	0.560282i
$736$	−24.4244	+	14.8428i	−0.900296	+	0.547112i
$737$	17.4226	−	21.8473i	0.641770	−	0.804754i
$738$	13.7155	−	4.07395i	0.504874	−	0.149964i
$739$	−38.0719	+	8.68966i	−1.40050	+	0.319654i	−0.855073	−	0.518507i	$-0.826488\pi$
$739$	−38.0719	+	8.68966i	−1.40050	+	0.319654i	−0.545423	+	0.838161i	$0.683631\pi$
$740$	−14.6302	−	8.86016i	−0.537817	−	0.325706i
$741$	−6.16330	−	12.7982i	−0.226414	−	0.470154i
$742$	−0.0138703	−	0.0510809i	−0.000509193	−	0.00187524i
$743$	17.2593	−	35.8392i	0.633181	−	1.31481i	−0.299495	−	0.954098i	$-0.596818\pi$
$743$	17.2593	−	35.8392i	0.633181	−	1.31481i	0.932676	−	0.360716i	$-0.117468\pi$
$744$	−21.7022	−	5.67577i	−0.795641	−	0.208084i
$745$	17.3932	+	36.1173i	0.637236	+	1.32323i
$746$	−39.4981	+	2.54454i	−1.44613	+	0.0931620i
$747$	−1.09475	+	4.79641i	−0.0400548	+	0.175491i
$748$	16.7071	+	16.1657i	0.610871	+	0.591078i
$749$	24.5288	−	18.6318i	0.896264	−	0.680789i
$750$	19.2134	+	3.10196i	0.701574	+	0.113268i
$751$	−0.875054	−	1.81707i	−0.0319312	−	0.0663057i	0.884393	−	0.466743i	$-0.154573\pi$
$751$	−0.875054	−	1.81707i	−0.0319312	−	0.0663057i	−0.916324	+	0.400437i	$0.868858\pi$
$752$	9.39165	−	21.2661i	0.342478	−	0.775497i
$753$	−0.164000			−0.00597651
$754$	−17.8730	+	16.2389i	−0.650895	+	0.591386i
$755$	−10.2492	+	44.9047i	−0.373007	+	1.63425i
$756$	1.71204	+	5.00689i	0.0622665	+	0.182099i
$757$	7.93082	+	34.7472i	0.288250	+	1.26291i	0.886924	+	0.461915i	$0.152837\pi$
$757$	7.93082	+	34.7472i	0.288250	+	1.26291i	−0.598674	+	0.800993i	$0.704305\pi$
$758$	7.35951	+	5.13128i	0.267309	+	0.186377i
$759$	−17.1490	−	21.5042i	−0.622470	−	0.780552i
$760$	15.2162	−	58.1817i	0.551951	−	2.11047i
$761$	43.9074	−	10.0216i	1.59164	−	0.363282i	0.667283	−	0.744805i	$-0.267457\pi$
$761$	43.9074	−	10.0216i	1.59164	−	0.363282i	0.924359	+	0.381523i	$0.124600\pi$
$762$	7.00837	+	4.88646i	0.253887	+	0.177018i
$763$	3.18584	−	3.80711i	0.115335	−	0.137827i
$764$	3.74132	−	11.2848i	0.135356	−	0.408269i
$765$	−7.90774			−0.285905
$766$	−10.0027	−	11.0093i	−0.361413	−	0.397781i
$767$	15.7876	+	3.60341i	0.570057	+	0.130112i
$768$	−15.9653	+	1.05306i	−0.576098	+	0.0379992i
$769$	8.98004	−	7.16135i	0.323829	−	0.258245i	−0.448059	−	0.894004i	$-0.647884\pi$
$769$	8.98004	−	7.16135i	0.323829	−	0.258245i	0.771887	+	0.635759i	$0.219313\pi$
$770$	66.5772	−	35.4723i	2.39927	−	1.27833i
$771$	23.2903	+	18.5734i	0.838781	+	0.668905i
$772$	4.16862	+	1.38205i	0.150032	+	0.0497411i
$773$	4.83979	+	3.85960i	0.174075	+	0.138820i	0.706652	−	0.707562i	$-0.250205\pi$
$773$	4.83979	+	3.85960i	0.174075	+	0.138820i	−0.532577	+	0.846382i	$0.678776\pi$
$774$	−4.92576	+	12.1744i	−0.177053	+	0.437599i
$775$	−43.0990	−	54.0444i	−1.54816	−	1.94133i
$776$	5.45935	+	27.9349i	0.195979	+	1.00280i
$777$	3.92080	−	4.68539i	0.140658	−	0.168087i
$778$	−8.47895	−	3.43059i	−0.303985	−	0.122993i
$779$	25.2015	−	52.3314i	0.902936	−	1.87497i
$780$	−18.1753	+	2.35153i	−0.650779	+	0.0841982i
$781$	−22.5106	−	10.8405i	−0.805494	−	0.387905i
$782$	15.2249	−	0.980816i	0.544442	−	0.0350739i
$783$	6.90128			0.246632
$784$	27.3840	−	5.84100i	0.978000	−	0.208607i
$785$	−81.7046			−2.91616
$786$	15.7992	−	1.01781i	0.563540	−	0.0363042i
$787$	7.23684	+	3.48508i	0.257966	+	0.124230i	0.558397	−	0.829574i	$-0.311416\pi$
$787$	7.23684	+	3.48508i	0.257966	+	0.124230i	−0.300432	+	0.953803i	$0.597131\pi$
$788$	42.3801	−	5.48316i	1.50973	−	0.195330i
$789$	2.58140	−	5.36033i	0.0919002	−	0.190833i
$790$	−18.9891	−	7.68301i	−0.675602	−	0.273349i
$791$	−10.9994	−	14.4808i	−0.391094	−	0.514878i
$792$	−2.95332	−	15.1118i	−0.104942	−	0.536975i
$793$	−0.503643	−	0.631548i	−0.0178849	−	0.0224269i
$794$	−1.10298	+	2.72611i	−0.0391434	+	0.0967459i
$795$	−0.0409607	−	0.0326651i	−0.00145273	−	0.00115851i
$796$	4.05824	+	1.34546i	0.143841	+	0.0476885i
$797$	19.3703	+	15.4473i	0.686132	+	0.547172i	0.903325	−	0.428956i	$-0.141119\pi$
$797$	19.3703	+	15.4473i	0.686132	+	0.547172i	−0.217193	+	0.976129i	$0.569690\pi$
$798$	19.7175	+	8.52433i	0.697993	+	0.301758i
$799$	−9.70223	+	7.73727i	−0.343240	+	0.273725i
$800$	−41.3510	−	26.8522i	−1.46198	−	0.949367i
$801$	−15.8757	−	3.62353i	−0.560941	−	0.128031i
$802$	1.06710	+	1.17448i	0.0376805	+	0.0414722i
$803$	49.7205			1.75460
$804$	3.23065	−	9.74447i	0.113936	−	0.343661i
$805$	12.1516	−	47.9918i	0.428288	−	1.69149i
$806$	22.7643	+	15.8720i	0.801840	+	0.559068i
$807$	−30.2739	+	6.90983i	−1.06569	+	0.243237i
$808$	−2.22299	+	8.49997i	−0.0782046	+	0.299028i
$809$	−24.5818	−	30.8246i	−0.864249	−	1.08373i	−0.995721	−	0.0924137i	$-0.970542\pi$
$809$	−24.5818	−	30.8246i	−0.864249	−	1.08373i	0.131472	−	0.991320i	$-0.458030\pi$
$810$	4.29634	+	2.99554i	0.150958	+	0.105253i
$811$	8.80242	+	38.5659i	0.309095	+	1.35423i	0.855973	+	0.517020i	$0.172959\pi$
$811$	8.80242	+	38.5659i	0.309095	+	1.35423i	−0.546879	+	0.837212i	$0.684184\pi$
$812$	4.34716	−	36.2585i	0.152556	−	1.27242i
$813$	5.76556	−	25.2606i	0.202207	−	0.885926i
$814$	−13.1580	+	11.9550i	−0.461186	+	0.419021i
$815$	3.00377			0.105217
$816$	7.81286	+	3.45035i	0.273505	+	0.120786i
$817$	23.1324	+	48.0350i	0.809302	+	1.68053i
$818$	46.7001	+	7.53962i	1.63283	+	0.263617i
$819$	0.154415	−	6.54443i	0.00539570	−	0.228681i
$820$	−53.8541	−	52.1091i	−1.88067	−	1.81973i
$821$	8.24515	−	36.1244i	0.287758	−	1.26075i	−0.599836	−	0.800123i	$-0.704768\pi$
$821$	8.24515	−	36.1244i	0.287758	−	1.26075i	0.887594	−	0.460627i	$-0.152375\pi$
$822$	−13.4215	+	0.864639i	−0.468130	+	0.0301578i
$823$	−11.6759	−	24.2453i	−0.406997	−	0.845139i	−0.999225	−	0.0393678i	$-0.987466\pi$
$823$	−11.6759	−	24.2453i	−0.406997	−	0.845139i	0.592228	−	0.805771i	$-0.298249\pi$
$824$	25.5665	+	6.68641i	0.890652	+	0.232932i
$825$	20.5872	−	42.7497i	0.716753	−	1.48835i
$826$	−21.6124	+	11.5150i	−0.751990	+	0.400660i
$827$	−16.5275	−	34.3197i	−0.574717	−	1.19341i	−0.962404	−	0.271622i	$-0.912440\pi$
$827$	−16.5275	−	34.3197i	−0.574717	−	1.19341i	0.387687	−	0.921791i	$-0.373274\pi$
$828$	−8.64337	−	5.23449i	−0.300378	−	0.181911i
$829$	35.2338	−	8.04187i	1.22372	−	0.279306i	0.438618	−	0.898674i	$-0.355468\pi$
$829$	35.2338	−	8.04187i	1.22372	−	0.279306i	0.785101	+	0.619368i	$0.212611\pi$
$830$	24.7008	−	7.33695i	0.857377	−	0.254669i
$831$	16.7024	−	20.9441i	0.579398	−	0.726543i
$832$	18.9833	+	5.60703i	0.658126	+	0.194389i
$833$	−14.3986	−	4.00945i	−0.498883	−	0.138919i
$834$	−1.21157	−	1.33349i	−0.0419532	−	0.0461748i
$835$	−26.5327	−	21.1591i	−0.918201	−	0.732241i
$836$	−53.4675	−	32.3804i	−1.84921	−	1.11990i
$837$	−1.76480	−	7.73210i	−0.0610005	−	0.267261i
$838$	0.178134	+	0.599713i	0.00615355	+	0.0207167i
$839$	−4.84389	+	2.33269i	−0.167230	+	0.0805335i	−0.515626	−	0.856814i	$-0.672441\pi$
$839$	−4.84389	+	2.33269i	−0.167230	+	0.0805335i	0.348396	+	0.937347i	$0.386726\pi$
$840$	18.4445	−	20.6855i	0.636396	−	0.713718i
$841$	−16.7829	−	8.08223i	−0.578721	−	0.278698i
$842$	1.16769	−	7.23262i	0.0402413	−	0.249253i
$843$	−17.9217	+	8.63062i	−0.617255	+	0.297254i
$844$	36.0960	−	37.3047i	1.24247	−	1.28408i
$845$	−24.8343	−	5.66827i	−0.854326	−	0.194994i
$846$	8.20227	−	0.528405i	0.282000	−	0.0181669i
$847$	−9.83477	−	48.3157i	−0.337927	−	1.66015i
$848$	0.0262167	+	0.0501454i	0.000900285	+	0.00172200i
$849$	−9.25789	+	4.45836i	−0.317730	+	0.153011i
$850$	12.9201	+	22.9293i	0.443157	+	0.786469i
$851$			11.6668i			0.399934i
$852$	−9.13701	−	0.877402i	−0.313029	−	0.0300593i
$853$	24.4409	+	5.57847i	0.836840	+	0.191003i	0.619405	−	0.785072i	$-0.287374\pi$
$853$	24.4409	+	5.57847i	0.836840	+	0.191003i	0.217435	+	0.976075i	$0.430231\pi$
$854$	1.20101	+	0.223089i	0.0410978	+	0.00763393i
$855$	20.7291	−	4.73128i	0.708921	−	0.161806i
$856$	−21.3294	+	25.0880i	−0.729022	+	0.857490i
$857$	−1.93367	+	1.54205i	−0.0660528	+	0.0526754i	−0.655960	−	0.754796i	$-0.727736\pi$
$857$	−1.93367	+	1.54205i	−0.0660528	+	0.0526754i	0.589907	+	0.807471i	$0.299164\pi$
$858$	−3.03608	+	18.8054i	−0.103650	+	0.642004i
$859$	3.19241	+	13.9869i	0.108924	+	0.477225i	0.999739	+	0.0228594i	$0.00727700\pi$
$859$	3.19241	+	13.9869i	0.108924	+	0.477225i	−0.890815	+	0.454366i	$0.849866\pi$
$860$	68.2165	−	8.82589i	2.32616	−	0.300960i
$861$	21.3154	−	16.1909i	0.726427	−	0.551784i
$862$	1.97536	+	3.50567i	0.0672812	+	0.119403i
$863$		−	20.3537i		−	0.692849i	−0.938078	−	0.346425i	$-0.887396\pi$
$863$		−	20.3537i		−	0.692849i	0.938078	−	0.346425i	$-0.112604\pi$
$864$	−2.93776	−	4.83421i	−0.0999446	−	0.164463i
$865$	9.64389	−	42.2527i	0.327902	−	1.43663i
$866$	9.02648	−	22.3096i	0.306732	−	0.758112i
$867$	7.75677	+	9.72668i	0.263434	+	0.330335i
$868$	−41.7352	+	4.40155i	−1.41658	+	0.149398i
$869$	−13.2751	+	16.6465i	−0.450327	+	0.564693i
$870$	−17.7442	−	31.4905i	−0.601585	−	1.06763i
$871$	−7.91856	+	9.92956i	−0.268310	+	0.336450i
$872$	−2.45160	+	4.70679i	−0.0830216	+	0.159392i
$873$	−7.86782	+	6.27438i	−0.266285	+	0.212355i
$874$	−39.3233	+	11.6803i	−1.33013	+	0.395092i
$875$	35.6788	−	7.26250i	1.20616	−	0.245517i
$876$	17.1397	−	6.31610i	0.579098	−	0.213401i
$877$	29.4998	+	14.2063i	0.996136	+	0.479714i	0.859626	−	0.510925i	$-0.170697\pi$
$877$	29.4998	+	14.2063i	0.996136	+	0.479714i	0.136511	+	0.990639i	$0.456411\pi$
$878$	21.7671	−	31.2194i	0.734605	−	1.05360i
$879$	−1.85418	+	3.85025i	−0.0625400	+	0.129866i
$880$	−61.3618	+	52.3307i	−2.06851	+	1.76407i
$881$		−	35.1244i		−	1.18337i	−0.806169	−	0.591685i	$-0.798463\pi$
$881$		−	35.1244i		−	1.18337i	0.806169	−	0.591685i	$-0.201537\pi$
$882$	6.30407	+	7.63274i	0.212269	+	0.257008i
$883$			42.1821i			1.41954i	0.704433	+	0.709771i	$0.251202\pi$
$883$			42.1821i			1.41954i	−0.704433	+	0.709771i	$0.748798\pi$
$884$	−7.59335	−	7.34731i	−0.255392	−	0.247117i
$885$	−10.5168	+	21.8384i	−0.353520	+	0.734091i
$886$	20.7383	+	14.4594i	0.696718	+	0.485774i
$887$	5.16870	+	2.48912i	0.173548	+	0.0835763i	0.518641	−	0.854992i	$-0.326438\pi$
$887$	5.16870	+	2.48912i	0.173548	+	0.0835763i	−0.345093	+	0.938569i	$0.612153\pi$
$888$	−3.01717	+	5.79262i	−0.101250	+	0.194388i
$889$	15.4948	+	3.92332i	0.519680	+	0.131584i
$890$	24.2847	+	81.7576i	0.814025	+	2.74052i
$891$	4.25622	−	3.39422i	0.142589	−	0.113711i
$892$	−11.2253	−	30.4616i	−0.375850	−	1.01993i
$893$	20.8039	−	26.0872i	0.696174	−	0.872975i
$894$	13.3362	−	7.51464i	0.446028	−	0.251327i
$895$	−25.5444	+	32.0316i	−0.853854	+	1.07070i
$896$	−27.2488	+	12.3895i	−0.910320	+	0.413905i
$897$	7.79421	+	9.77363i	0.260241	+	0.326332i
$898$	−35.7963	−	14.4832i	−1.19454	−	0.483311i
$899$	−12.1794	+	53.3614i	−0.406205	+	1.77970i
$900$	1.66626	−	17.3520i	0.0555421	−	0.578400i
$901$		−	0.0302053i		−	0.00100628i
$902$	−67.8587	+	38.2369i	−2.25945	+	1.27315i
$903$	−0.579560	+	24.5629i	−0.0192866	+	0.817403i
$904$	14.8109	+	12.5920i	0.492604	+	0.418802i
$905$	5.39922	+	23.6555i	0.179476	+	0.786337i
$906$	17.3634	+	2.80328i	0.576860	+	0.0931328i
$907$	23.3997	−	18.6606i	0.776974	−	0.619616i	−0.152585	−	0.988290i	$-0.548760\pi$
$907$	23.3997	−	18.6606i	0.776974	−	0.619616i	0.929559	+	0.368675i	$0.120188\pi$
$908$	−51.4597	+	6.65788i	−1.70775	+	0.220949i
$909$	−3.02839	+	0.691210i	−0.100445	+	0.0229260i
$910$	−30.2593	+	16.1221i	−1.00309	+	0.534443i
$911$	−5.33570	−	1.21784i	−0.176780	−	0.0403488i	0.133215	−	0.991087i	$-0.457470\pi$
$911$	−5.33570	−	1.21784i	−0.176780	−	0.0403488i	−0.309994	+	0.950738i	$0.600327\pi$
$912$	−22.5448	−	4.37013i	−0.746533	−	0.144709i
$913$		−	26.7827i		−	0.886378i
$914$	−14.9471	+	8.42237i	−0.494407	+	0.278587i
$915$	1.08936	−	0.524608i	0.0360132	−	0.0173430i
$916$	1.74307	+	2.67526i	0.0575925	+	0.0883929i
$917$	26.9814	−	12.2181i	0.891005	−	0.403478i
$918$	0.194128	+	3.01339i	0.00640718	+	0.0994567i
$919$	58.2028	+	13.2844i	1.91993	+	0.438212i	0.998801	+	0.0489616i	$0.0155912\pi$
$919$	58.2028	+	13.2844i	1.91993	+	0.438212i	0.921132	+	0.389250i	$0.127266\pi$
$920$	−1.66160	+	52.8984i	−0.0547812	+	1.74401i
$921$	21.3314	−	10.2727i	0.702895	−	0.338496i
$922$	13.8004	+	2.22804i	0.454492	+	0.0733767i
$923$	10.2311	+	4.92702i	0.336760	+	0.162175i
$924$	−15.1518	−	24.4997i	−0.498457	−	0.805980i
$925$	−18.1333	+	8.73253i	−0.596219	+	0.287124i
$926$	49.6576	−	14.7499i	1.63185	−	0.484713i
$927$	2.07905	+	9.10890i	0.0682849	+	0.299175i
$928$	3.79119	+	38.8550i	0.124452	+	1.27548i
$929$	6.40751	+	5.10982i	0.210224	+	0.167648i	0.722941	−	0.690910i	$-0.242790\pi$
$929$	6.40751	+	5.10982i	0.210224	+	0.167648i	−0.512717	+	0.858557i	$0.671361\pi$
$930$	−30.7440	+	27.9332i	−1.00814	+	0.915966i
$931$	40.1431	+	1.89540i	1.31564	+	0.0621192i
$932$	0.00213134	−	0.0221952i	6.98144e−5	−	0.000727027i
$933$	−4.53160	+	5.68245i	−0.148358	+	0.186035i
$934$	0.544211	+	1.83216i	0.0178071	+	0.0599500i
$935$	41.9696	−	9.57929i	1.37255	−	0.313276i
$936$	1.34228	+	6.86830i	0.0438738	+	0.224498i
$937$	8.45854	+	17.5643i	0.276329	+	0.573802i	0.992233	−	0.124397i	$-0.0396995\pi$
$937$	8.45854	+	17.5643i	0.276329	+	0.573802i	−0.715904	+	0.698199i	$0.753985\pi$
$938$	−0.782282	−	19.1901i	−0.0255424	−	0.626578i
$939$	−2.38146	+	4.94515i	−0.0777159	+	0.161379i
$940$	−23.5004	−	36.0684i	−0.766498	−	1.17642i
$941$	−22.5065	−	46.7352i	−0.733690	−	1.52352i	−0.847952	−	0.530073i	$-0.822165\pi$
$941$	−22.5065	−	46.7352i	−0.733690	−	1.52352i	0.114262	−	0.993451i	$-0.463550\pi$
$942$	2.00578	+	31.1351i	0.0653518	+	1.01444i
$943$	−11.3744	+	49.8343i	−0.370400	+	1.62283i
$944$	19.9193	−	16.9877i	0.648319	−	0.552901i
$945$	9.49878	+	2.40511i	0.308995	+	0.0782382i
$946$	11.3952	−	70.5814i	0.370490	−	2.29480i
$947$	−8.93144	−	18.5463i	−0.290233	−	0.602675i	0.703966	−	0.710234i	$-0.251411\pi$
$947$	−8.93144	−	18.5463i	−0.290233	−	0.602675i	−0.994199	+	0.107559i	$0.965697\pi$
$948$	−2.46159	+	7.42477i	−0.0799487	+	0.241145i
$949$	−22.5979			−0.733559
$950$	−47.5874	−	52.3759i	−1.54394	−	1.69930i
$951$	7.61891	−	33.3806i	0.247060	−	1.08244i
$952$	15.9543	+	0.878232i	0.517081	+	0.0284637i
$953$	−8.44962	−	37.0202i	−0.273710	−	1.19920i	−0.905596	−	0.424141i	$-0.860576\pi$
$953$	−8.44962	−	37.0202i	−0.273710	−	1.19920i	0.631886	−	0.775061i	$-0.282281\pi$
$954$	−0.0114421	+	0.0164108i	−0.000370452	+	0.000531318i
$955$	−13.7262	−	17.2121i	−0.444169	−	0.556970i
$956$	12.2388	+	18.7840i	0.395830	+	0.607520i
$957$	−36.6279	+	8.36009i	−1.18401	+	0.270243i
$958$	3.37996	−	4.84769i	0.109202	−	0.156622i
$959$	−22.9209	+	10.3794i	−0.740154	+	0.335167i
$960$	−14.5051	+	25.8345i	−0.468149	+	0.833804i
$961$	31.9000			1.02903
$962$	5.98028	−	5.43352i	0.192812	−	0.175184i
$963$	−11.3504	−	2.59066i	−0.365762	−	0.0834829i
$964$	−4.68165	+	1.72522i	−0.150786	+	0.0555655i
$965$	6.35817	−	5.07047i	0.204677	−	0.163224i
$966$	−18.5865	−	3.45244i	−0.598010	−	0.111081i
$967$	−4.17074	−	3.32606i	−0.134122	−	0.106959i	0.554131	−	0.832430i	$-0.313051\pi$
$967$	−4.17074	−	3.32606i	−0.134122	−	0.106959i	−0.688253	+	0.725471i	$0.741622\pi$
$968$	21.3681	+	48.1855i	0.686797	+	1.54874i
$969$	9.58405	+	7.64302i	0.307884	+	0.245529i
$970$	48.8593	+	19.7685i	1.56878	+	0.634729i
$971$	−19.2351	−	24.1200i	−0.617282	−	0.774047i	0.370677	−	0.928762i	$-0.379126\pi$
$971$	−19.2351	−	24.1200i	−0.617282	−	0.774047i	−0.987959	+	0.154714i	$0.950554\pi$
$972$	1.03604	−	1.71074i	0.0332309	−	0.0548720i
$973$	−3.00151	−	1.53370i	−0.0962240	−	0.0491681i
$974$	12.7808	−	31.5886i	0.409523	−	1.01217i
$975$	−9.35684	+	19.4297i	−0.299659	+	0.622248i
$976$	−1.30519	+	0.0429982i	−0.0417782	+	0.00137634i
$977$	−34.0468	−	16.3961i	−1.08925	−	0.524557i	−0.198989	−	0.980002i	$-0.563766\pi$
$977$	−34.0468	−	16.3961i	−1.08925	−	0.524557i	−0.890264	+	0.455445i	$0.849480\pi$
$978$	−0.0737399	−	1.14464i	−0.00235794	−	0.0366016i
$979$	88.6485			2.83322
$980$	18.6195	−	48.3904i	0.594778	−	1.54577i
$981$	−1.87631			−0.0599058
$982$	1.66087	+	25.7812i	0.0530005	+	0.822711i
$983$	18.8373	+	9.07158i	0.600817	+	0.289338i	0.709464	−	0.704742i	$-0.248937\pi$
$983$	18.8373	+	9.07158i	0.600817	+	0.289338i	−0.108646	+	0.994080i	$0.534652\pi$
$984$	−18.5351	+	21.8013i	−0.590877	+	0.695001i
$985$	34.3338	−	71.2950i	1.09397	−	2.27165i
$986$	7.81610	−	19.3181i	0.248915	−	0.615213i
$987$	14.0076	−	6.34312i	0.445867	−	0.201904i
$988$	24.3010	+	14.7168i	0.773116	+	0.468205i
$989$	−29.2537	−	36.6830i	−0.930213	−	1.16645i
$990$	−26.4312	−	10.6941i	−0.840039	−	0.339880i
$991$	6.16493	+	4.91637i	0.195836	+	0.156174i	0.716498	−	0.697589i	$-0.245744\pi$
$991$	6.16493	+	4.91637i	0.195836	+	0.156174i	−0.520663	+	0.853762i	$0.674315\pi$
$992$	42.5632	−	14.1836i	1.35138	−	0.450331i
$993$	13.8707	+	11.0615i	0.440173	+	0.351026i
$994$	−16.5723	+	4.49996i	−0.525642	+	0.142730i
$995$	6.18983	−	4.93622i	0.196231	−	0.156489i
$996$	−3.40226	−	9.23259i	−0.107805	−	0.292546i
$997$	−16.2622	−	3.71174i	−0.515028	−	0.117552i	−0.0428961	−	0.999080i	$-0.513658\pi$
$997$	−16.2622	−	3.71174i	−0.515028	−	0.117552i	−0.472132	+	0.881528i	$0.656516\pi$
$998$	−15.5783	+	14.1540i	−0.493123	+	0.448038i
$999$	−2.30916			−0.0730586

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.27	✓	168
4.3	odd	2		588.2.x.b.55.14	yes	168
49.41	odd	14		588.2.x.b.139.14	yes	168
196.139	even	14	inner	588.2.x.a.139.27	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.27	✓	168	1.1	even	1	trivial
588.2.x.a.139.27	yes	168	196.139	even	14	inner
588.2.x.b.55.14	yes	168	4.3	odd	2
588.2.x.b.139.14	yes	168	49.41	odd	14

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(1.41129 - 0.0909177i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.98347 - 0.256622i) q^{4} +(1.60689 - 3.33674i) q^{5} +(-1.31097 - 0.530421i) q^{6} +(-2.64502 - 0.0624089i) q^{7} +(2.77591 - 0.542500i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(1.41129 - 0.0909177i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.98347 - 0.256622i) q^{4} +(1.60689 - 3.33674i) q^{5} +(-1.31097 - 0.530421i) q^{6} +(-2.64502 - 0.0624089i) q^{7} +(2.77591 - 0.542500i) q^{8} +(0.623490 + 0.781831i) q^{9} +(1.96441 - 4.85519i) q^{10} +(-4.25622 - 3.39422i) q^{11} +(-1.89839 - 0.629386i) q^{12} +(1.93445 + 1.54267i) q^{13} +(-3.73855 + 0.152402i) q^{14} +(-2.89551 + 2.30909i) q^{15} +(3.86829 - 1.01800i) q^{16} +(-2.08167 - 0.475128i) q^{17} +(0.951006 + 1.04670i) q^{18} +5.74111 q^{19} +(2.33093 - 7.03067i) q^{20} +(2.35600 + 1.20386i) q^{21} +(-6.31534 - 4.40326i) q^{22} +(-4.92574 + 1.12427i) q^{23} +(-2.73639 - 0.715648i) q^{24} +(-5.43428 - 6.81437i) q^{25} +(2.87032 + 2.00128i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-5.26232 + 0.554983i) q^{28} +(-1.53568 + 6.72825i) q^{29} +(-3.87646 + 3.52205i) q^{30} +7.93095 q^{31} +(5.36672 - 1.78839i) q^{32} +(2.36202 + 4.90479i) q^{33} +(-2.98104 - 0.481282i) q^{34} +(-4.45848 + 8.72544i) q^{35} +(1.43731 + 1.39074i) q^{36} +(0.513837 - 2.25127i) q^{37} +(8.10236 - 0.521969i) q^{38} +(-1.07354 - 2.22922i) q^{39} +(2.65040 - 10.1342i) q^{40} +(4.38965 - 9.11520i) q^{41} +(3.43444 + 1.48479i) q^{42} +(4.02926 + 8.36685i) q^{43} +(-9.31310 - 5.64009i) q^{44} +(3.61064 - 0.824106i) q^{45} +(-6.84943 + 2.03450i) q^{46} +(3.62366 - 4.54393i) q^{47} +(-3.92690 - 0.761199i) q^{48} +(6.99221 + 0.330145i) q^{49} +(-8.28888 - 9.12296i) q^{50} +(1.66937 + 1.33128i) q^{51} +(4.23280 + 2.56341i) q^{52} +(0.00314785 + 0.0137916i) q^{53} +(-0.402679 - 1.35567i) q^{54} +(-18.1649 + 8.74774i) q^{55} +(-7.37619 + 1.26168i) q^{56} +(-5.17256 - 2.49097i) q^{57} +(-1.55557 + 9.63512i) q^{58} +(5.89671 - 2.83970i) q^{59} +(-5.15059 + 5.32307i) q^{60} +(-0.318289 - 0.0726475i) q^{61} +(11.1929 - 0.721064i) q^{62} +(-1.60035 - 2.10687i) q^{63} +(7.41139 - 3.01187i) q^{64} +(8.25592 - 3.97584i) q^{65} +(3.77943 + 6.70732i) q^{66} +5.13303i q^{67} +(-4.25086 - 0.408198i) q^{68} +(4.92574 + 1.12427i) q^{69} +(-5.49891 + 12.7195i) q^{70} +(4.47445 - 1.02126i) q^{71} +(2.15490 + 1.83205i) q^{72} +(-7.14065 + 5.69448i) q^{73} +(0.520492 - 3.22390i) q^{74} +(1.93947 + 8.49738i) q^{75} +(11.3873 - 1.47330i) q^{76} +(11.0459 + 9.24339i) q^{77} +(-1.71775 - 3.04847i) q^{78} -3.91110i q^{79} +(2.81910 - 14.5433i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(5.36633 - 13.2633i) q^{82} +(3.06742 + 3.84642i) q^{83} +(4.98198 + 1.78321i) q^{84} +(-4.93039 + 6.18252i) q^{85} +(6.44714 + 11.4417i) q^{86} +(4.30288 - 5.39564i) q^{87} +(-13.6563 - 7.11306i) q^{88} +(-12.7313 + 10.1529i) q^{89} +(5.02073 - 1.49132i) q^{90} +(-5.02037 - 4.20111i) q^{91} +(-9.48154 + 3.49400i) q^{92} +(-7.14554 - 3.44111i) q^{93} +(4.70091 - 6.74225i) q^{94} +(9.22532 - 19.1566i) q^{95} +(-5.61120 - 0.717246i) q^{96} +10.0633i q^{97} +(9.89804 - 0.169786i) q^{98} -5.44390i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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