LMFDB - Embedded newform 588.2.x.a.223.15

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			223.15
Character	$\chi$	$=$	588.223
Dual form			588.2.x.a.559.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0367177 - 1.41374i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.99730 - 0.103818i) q^{4} +(-3.11236 - 0.710376i) q^{5} +(1.37012 + 0.350383i) q^{6} +(2.64273 + 0.126372i) q^{7} +(-0.220108 + 2.81985i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(0.0367177 - 1.41374i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.99730 - 0.103818i) q^{4} +(-3.11236 - 0.710376i) q^{5} +(1.37012 + 0.350383i) q^{6} +(2.64273 + 0.126372i) q^{7} +(-0.220108 + 2.81985i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-1.11856 + 4.37397i) q^{10} +(2.20620 + 4.58122i) q^{11} +(0.545657 - 1.92413i) q^{12} +(-1.35197 - 2.80740i) q^{13} +(0.275692 - 3.73149i) q^{14} +(1.38513 - 2.87625i) q^{15} +(3.97844 + 0.414714i) q^{16} +(4.52629 - 3.60960i) q^{17} +(-0.646479 + 1.25780i) q^{18} +5.88397 q^{19} +(6.14258 + 1.74196i) q^{20} +(-0.711267 + 2.54835i) q^{21} +(6.55765 - 2.95078i) q^{22} +(-5.32327 - 4.24517i) q^{23} +(-2.70017 - 0.842065i) q^{24} +(4.67730 + 2.25247i) q^{25} +(-4.01857 + 1.80825i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-5.26522 - 0.526767i) q^{28} +(2.36833 + 2.96979i) q^{29} +(-4.01541 - 2.06382i) q^{30} +5.86185 q^{31} +(0.732375 - 5.60924i) q^{32} +(-4.95729 + 1.13147i) q^{33} +(-4.93682 - 6.53152i) q^{34} +(-8.13536 - 2.27065i) q^{35} +(1.75446 + 0.960135i) q^{36} +(-0.909630 - 1.14064i) q^{37} +(0.216046 - 8.31838i) q^{38} +(3.03786 - 0.693371i) q^{39} +(2.68821 - 8.62003i) q^{40} +(2.89189 + 0.660056i) q^{41} +(3.57658 + 1.09911i) q^{42} +(9.85966 - 2.25040i) q^{43} +(-3.93084 - 9.37914i) q^{44} +(2.49592 + 1.99043i) q^{45} +(-6.19701 + 7.36983i) q^{46} +(3.73836 - 1.80030i) q^{47} +(-1.28960 + 3.78641i) q^{48} +(6.96806 + 0.667934i) q^{49} +(3.35614 - 6.52977i) q^{50} +(2.51190 + 5.21602i) q^{51} +(2.40884 + 5.74759i) q^{52} +(-6.48315 + 8.12961i) q^{53} +(-1.08241 - 0.910158i) q^{54} +(-3.61210 - 15.8256i) q^{55} +(-0.938037 + 7.42429i) q^{56} +(-1.30931 + 5.73645i) q^{57} +(4.28547 - 3.23915i) q^{58} +(1.87989 + 8.23632i) q^{59} +(-3.06513 + 5.60095i) q^{60} +(3.00738 - 2.39831i) q^{61} +(0.215234 - 8.28711i) q^{62} +(-2.32619 - 1.26050i) q^{63} +(-7.90310 - 1.24134i) q^{64} +(2.21352 + 9.69805i) q^{65} +(1.41758 + 7.04985i) q^{66} +4.00603i q^{67} +(-9.41512 + 6.73955i) q^{68} +(5.32327 - 4.24517i) q^{69} +(-3.50881 + 11.4179i) q^{70} +(-4.57684 - 3.64991i) q^{71} +(1.42180 - 2.44510i) q^{72} +(3.05578 - 6.34538i) q^{73} +(-1.64596 + 1.24410i) q^{74} +(-3.23679 + 4.05881i) q^{75} +(-11.7521 - 0.610864i) q^{76} +(5.25146 + 12.3857i) q^{77} +(-0.868701 - 4.32019i) q^{78} +13.3370i q^{79} +(-12.0877 - 4.11693i) q^{80} +(0.623490 + 0.781831i) q^{81} +(1.03933 - 4.06414i) q^{82} +(-2.31226 - 1.11353i) q^{83} +(1.68518 - 5.01599i) q^{84} +(-16.6516 + 8.01899i) q^{85} +(-2.81945 - 14.0216i) q^{86} +(-3.42234 + 1.64811i) q^{87} +(-13.4040 + 5.21279i) q^{88} +(3.82052 - 7.93339i) q^{89} +(2.90559 - 3.45549i) q^{90} +(-3.21812 - 7.59006i) q^{91} +(10.1915 + 9.03154i) q^{92} +(-1.30438 + 5.71488i) q^{93} +(-2.40788 - 5.35116i) q^{94} +(-18.3130 - 4.17983i) q^{95} +(5.30564 + 1.96219i) q^{96} -1.22175i q^{97} +(1.20013 - 9.82648i) q^{98} -5.08477i 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 $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.0367177	−	1.41374i	0.0259633	−	0.999663i
$2$	0.0367177	−	1.41374i	0.0259633	−	0.999663i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$4$	−1.99730	−	0.103818i	−0.998652	−	0.0519092i
$5$	−3.11236	−	0.710376i	−1.39189	−	0.317690i	−0.540112	−	0.841593i	$-0.681618\pi$
$5$	−3.11236	−	0.710376i	−1.39189	−	0.317690i	−0.851778	+	0.523904i	$0.824475\pi$
$6$	1.37012	+	0.350383i	0.559350	+	0.143043i
$7$	2.64273	+	0.126372i	0.998859	+	0.0477641i
$7$	2.64273	+	0.126372i	0.998859	+	0.0477641i
$8$	−0.220108	+	2.81985i	−0.0778200	+	0.996967i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	−1.11856	+	4.37397i	−0.353721	+	1.38317i
$11$	2.20620	+	4.58122i	0.665195	+	1.38129i	0.911176	+	0.412016i	$0.135175\pi$
$11$	2.20620	+	4.58122i	0.665195	+	1.38129i	−0.245982	+	0.969274i	$0.579110\pi$
$12$	0.545657	−	1.92413i	0.157518	−	0.555447i
$13$	−1.35197	−	2.80740i	−0.374970	−	0.778633i	0.625028	−	0.780602i	$-0.285087\pi$
$13$	−1.35197	−	2.80740i	−0.374970	−	0.778633i	−0.999998	+	0.00196925i	$0.999373\pi$
$14$	0.275692	−	3.73149i	0.0736817	−	0.997282i
$15$	1.38513	−	2.87625i	0.357639	−	0.742645i
$16$	3.97844	+	0.414714i	0.994611	+	0.103678i
$17$	4.52629	−	3.60960i	1.09779	−	0.875456i	0.104896	−	0.994483i	$-0.466549\pi$
$17$	4.52629	−	3.60960i	1.09779	−	0.875456i	0.992891	+	0.119027i	$0.0379776\pi$
$18$	−0.646479	+	1.25780i	−0.152377	+	0.296467i
$19$	5.88397			1.34988			0.674938	−	0.737875i	$-0.264171\pi$
$19$	5.88397			1.34988			0.674938	+	0.737875i	$0.264171\pi$
$20$	6.14258	+	1.74196i	1.37352	+	0.389513i
$21$	−0.711267	+	2.54835i	−0.155211	+	0.556096i
$22$	6.55765	−	2.95078i	1.39810	−	0.629107i
$23$	−5.32327	−	4.24517i	−1.10998	−	0.885179i	−0.115838	−	0.993268i	$-0.536955\pi$
$23$	−5.32327	−	4.24517i	−1.10998	−	0.885179i	−0.994141	+	0.108089i	$0.965527\pi$
$24$	−2.70017	−	0.842065i	−0.551170	−	0.171886i
$25$	4.67730	+	2.25247i	0.935461	+	0.450494i
$26$	−4.01857	+	1.80825i	−0.788106	+	0.354628i
$27$	0.623490	−	0.781831i	0.119991	−	0.150464i
$28$	−5.26522	−	0.526767i	−0.995033	−	0.0995497i
$29$	2.36833	+	2.96979i	0.439788	+	0.551477i	0.951487	−	0.307688i	$-0.0995552\pi$
$29$	2.36833	+	2.96979i	0.439788	+	0.551477i	−0.511699	+	0.859165i	$0.670984\pi$
$30$	−4.01541	−	2.06382i	−0.733109	−	0.376800i
$31$	5.86185			1.05282			0.526410	−	0.850231i	$-0.323538\pi$
$31$	5.86185			1.05282			0.526410	+	0.850231i	$0.323538\pi$
$32$	0.732375	−	5.60924i	0.129467	−	0.991584i
$33$	−4.95729	+	1.13147i	−0.862953	+	0.196963i
$34$	−4.93682	−	6.53152i	−0.846658	−	1.12015i
$35$	−8.13536	−	2.27065i	−1.37513	−	0.383809i
$36$	1.75446	+	0.960135i	0.292411	+	0.160022i
$37$	−0.909630	−	1.14064i	−0.149542	−	0.187520i	0.701418	−	0.712750i	$-0.252551\pi$
$37$	−0.909630	−	1.14064i	−0.149542	−	0.187520i	−0.850960	+	0.525230i	$0.823979\pi$
$38$	0.216046	−	8.31838i	0.0350473	−	1.34942i
$39$	3.03786	−	0.693371i	0.486446	−	0.111028i
$40$	2.68821	−	8.62003i	0.425043	−	1.36295i
$41$	2.89189	+	0.660056i	0.451638	+	0.103083i	0.442288	−	0.896873i	$-0.354167\pi$
$41$	2.89189	+	0.660056i	0.451638	+	0.103083i	0.00934945	+	0.999956i	$0.497024\pi$
$42$	3.57658	+	1.09911i	0.551879	+	0.169597i
$43$	9.85966	−	2.25040i	1.50358	−	0.343183i	0.610117	−	0.792312i	$-0.291123\pi$
$43$	9.85966	−	2.25040i	1.50358	−	0.343183i	0.893467	+	0.449128i	$0.148265\pi$
$44$	−3.93084	−	9.37914i	−0.592596	−	1.41396i
$45$	2.49592	+	1.99043i	0.372070	+	0.296716i
$46$	−6.19701	+	7.36983i	−0.913699	+	1.08662i
$47$	3.73836	−	1.80030i	0.545295	−	0.262600i	−0.140892	−	0.990025i	$-0.544997\pi$
$47$	3.73836	−	1.80030i	0.545295	−	0.262600i	0.686188	+	0.727425i	$0.259283\pi$
$48$	−1.28960	+	3.78641i	−0.186138	+	0.546522i
$49$	6.96806	+	0.667934i	0.995437	+	0.0954192i
$50$	3.35614	−	6.52977i	0.474630	−	0.923449i
$51$	2.51190	+	5.21602i	0.351737	+	0.730389i
$52$	2.40884	+	5.74759i	0.334046	+	0.797048i
$53$	−6.48315	+	8.12961i	−0.890529	+	1.11669i	0.102013	+	0.994783i	$0.467472\pi$
$53$	−6.48315	+	8.12961i	−0.890529	+	1.11669i	−0.992542	+	0.121904i	$0.961100\pi$
$54$	−1.08241	−	0.910158i	−0.147297	−	0.123857i
$55$	−3.61210	−	15.8256i	−0.487055	−	2.13393i
$56$	−0.938037	+	7.42429i	−0.125350	+	0.992113i
$57$	−1.30931	+	5.73645i	−0.173422	+	0.759811i
$58$	4.28547	−	3.23915i	0.562709	−	0.425322i
$59$	1.87989	+	8.23632i	0.244740	+	1.07228i	0.936643	+	0.350286i	$0.113916\pi$
$59$	1.87989	+	8.23632i	0.244740	+	1.07228i	−0.691902	+	0.721991i	$0.743227\pi$
$60$	−3.06513	+	5.60095i	−0.395707	+	0.723079i
$61$	3.00738	−	2.39831i	0.385056	−	0.307072i	−0.411762	−	0.911292i	$-0.635086\pi$
$61$	3.00738	−	2.39831i	0.385056	−	0.307072i	0.796818	+	0.604219i	$0.206515\pi$
$62$	0.215234	−	8.28711i	0.0273347	−	1.05246i
$63$	−2.32619	−	1.26050i	−0.293072	−	0.158808i
$64$	−7.90310	−	1.24134i	−0.987888	−	0.155168i
$65$	2.21352	+	9.69805i	0.274553	+	1.20290i
$66$	1.41758	+	7.04985i	0.174492	+	0.867776i
$67$			4.00603i			0.489415i	0.969597	+	0.244707i	$0.0786919\pi$
$67$			4.00603i			0.489415i	−0.969597	+	0.244707i	$0.921308\pi$
$68$	−9.41512	+	6.73955i	−1.14175	+	0.817290i
$69$	5.32327	−	4.24517i	0.640847	−	0.511058i
$70$	−3.50881	+	11.4179i	−0.419383	+	1.36470i
$71$	−4.57684	−	3.64991i	−0.543171	−	0.433165i	0.313078	−	0.949727i	$-0.398640\pi$
$71$	−4.57684	−	3.64991i	−0.543171	−	0.433165i	−0.856249	+	0.516563i	$0.827211\pi$
$72$	1.42180	−	2.44510i	0.167560	−	0.288157i
$73$	3.05578	−	6.34538i	0.357652	−	0.742671i	−0.642061	−	0.766654i	$-0.721920\pi$
$73$	3.05578	−	6.34538i	0.357652	−	0.742671i	0.999712	+	0.0239826i	$0.00763464\pi$
$74$	−1.64596	+	1.24410i	−0.191339	+	0.144623i
$75$	−3.23679	+	4.05881i	−0.373753	+	0.468671i
$76$	−11.7521	−	0.610864i	−1.34806	−	0.0700709i
$77$	5.25146	+	12.3857i	0.598459	+	1.41149i
$78$	−0.868701	−	4.32019i	−0.0983610	−	0.489165i
$79$			13.3370i			1.50053i	0.661138	+	0.750265i	$0.270074\pi$
$79$			13.3370i			1.50053i	−0.661138	+	0.750265i	$0.729926\pi$
$80$	−12.0877	−	4.11693i	−1.35145	−	0.460287i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	1.03933	−	4.06414i	0.114775	−	0.448809i
$83$	−2.31226	−	1.11353i	−0.253804	−	0.122226i	0.302656	−	0.953100i	$-0.402127\pi$
$83$	−2.31226	−	1.11353i	−0.253804	−	0.122226i	−0.556460	+	0.830874i	$0.687841\pi$
$84$	1.68518	−	5.01599i	0.183868	−	0.547289i
$85$	−16.6516	+	8.01899i	−1.80612	+	0.869782i
$86$	−2.81945	−	14.0216i	−0.304029	−	1.51199i
$87$	−3.42234	+	1.64811i	−0.366913	+	0.176696i
$88$	−13.4040	+	5.21279i	−1.42887	+	0.555685i
$89$	3.82052	−	7.93339i	0.404974	−	0.840938i	−0.594351	−	0.804206i	$-0.702591\pi$
$89$	3.82052	−	7.93339i	0.404974	−	0.840938i	0.999325	−	0.0367320i	$-0.0116948\pi$
$90$	2.90559	−	3.45549i	0.306276	−	0.364240i
$91$	−3.21812	−	7.59006i	−0.337351	−	0.795654i
$92$	10.1915	+	9.03154i	1.06253	+	0.941603i
$93$	−1.30438	+	5.71488i	−0.135258	+	0.592605i
$94$	−2.40788	−	5.35116i	−0.248354	−	0.551930i
$95$	−18.3130	−	4.17983i	−1.87888	−	0.428841i
$96$	5.30564	+	1.96219i	0.541505	+	0.200265i
$97$		−	1.22175i		−	0.124049i	−0.998075	−	0.0620247i	$-0.980244\pi$
$97$		−	1.22175i		−	0.124049i	0.998075	−	0.0620247i	$-0.0197558\pi$
$98$	1.20013	−	9.82648i	0.121232	−	0.992624i
$99$		−	5.08477i		−	0.511039i
$100$	−9.10815	−	4.98446i	−0.910815	−	0.498446i
$101$	−1.56999	−	0.358339i	−0.156220	−	0.0356561i	0.143696	−	0.989622i	$-0.454101\pi$
$101$	−1.56999	−	0.358339i	−0.156220	−	0.0356561i	−0.299915	+	0.953966i	$0.596958\pi$
$102$	7.46631	−	3.35965i	0.739275	−	0.332655i
$103$	−0.761170	+	3.33491i	−0.0750004	+	0.328598i	−0.998484	−	0.0550393i	$-0.982472\pi$
$103$	−0.761170	+	3.33491i	−0.0750004	+	0.328598i	0.923484	+	0.383637i	$0.125329\pi$
$104$	8.21403	−	3.19443i	0.805452	−	0.313239i
$105$	4.02401	−	7.42612i	0.392703	−	0.724715i
$106$	11.2551	+	9.46396i	1.09319	+	0.919221i
$107$	−2.45838	+	5.10487i	−0.237660	+	0.493506i	−0.985351	−	0.170541i	$-0.945448\pi$
$107$	−2.45838	+	5.10487i	−0.237660	+	0.493506i	0.747690	+	0.664048i	$0.231163\pi$
$108$	−1.32647	+	1.49683i	−0.127639	+	0.144032i
$109$	−0.154836	+	0.0745651i	−0.0148306	+	0.00714204i	−0.441284	−	0.897367i	$-0.645477\pi$
$109$	−0.154836	+	0.0745651i	−0.0148306	+	0.00714204i	0.426454	+	0.904509i	$0.359763\pi$
$110$	−22.5059	+	4.52548i	−2.14586	+	0.431487i
$111$	1.31445	−	0.633007i	0.124762	−	0.0600824i
$112$	10.4616	+	1.59874i	0.988524	+	0.151067i
$113$	−6.55355	−	3.15603i	−0.616506	−	0.296894i	0.0994459	−	0.995043i	$-0.468293\pi$
$113$	−6.55355	−	3.15603i	−0.616506	−	0.296894i	−0.715952	+	0.698149i	$0.754007\pi$
$114$	8.06175	+	2.06164i	0.755052	+	0.193091i
$115$	13.5523	+	16.9940i	1.26376	+	1.58470i
$116$	−4.42196	−	6.17746i	−0.410568	−	0.573562i
$117$			3.11598i			0.288072i
$118$	11.7130	−	2.35524i	1.07827	−	0.216818i
$119$	12.4179	−	8.96720i	1.13835	−	0.822022i
$120$	7.80572	+	4.53895i	0.712562	+	0.414347i
$121$	−9.26190	+	11.6141i	−0.841991	+	1.05582i
$122$	−3.28015	−	4.33971i	−0.296971	−	0.392899i
$123$	−1.28701	+	2.67251i	−0.116046	+	0.240972i
$124$	−11.7079	−	0.608568i	−1.05140	−	0.0546510i
$125$	−0.477757	−	0.380998i	−0.0427319	−	0.0340775i
$126$	−1.86742	+	3.24234i	−0.166363	+	0.288850i
$127$	−8.39428	+	6.69421i	−0.744872	+	0.594016i	−0.920638	−	0.390416i	$-0.872331\pi$
$127$	−8.39428	+	6.69421i	−0.744872	+	0.594016i	0.175767	+	0.984432i	$0.443760\pi$
$128$	−2.04512	+	11.1273i	−0.180765	+	0.983526i
$129$			10.1132i			0.890419i
$130$	13.7918	−	2.77324i	1.20962	−	0.243229i
$131$	−0.00834039	−	0.0365417i	−0.000728704	−	0.00319266i	0.974562	−	0.224117i	$-0.0719498\pi$
$131$	−0.00834039	−	0.0365417i	−0.000728704	−	0.00319266i	−0.975291	+	0.220924i	$0.929093\pi$
$132$	10.0187	−	1.74523i	0.872014	−	0.151903i
$133$	15.5498	+	0.743569i	1.34833	+	0.0644756i
$134$	5.66347	+	0.147092i	0.489250	+	0.0127068i
$135$	−2.49592	+	1.99043i	−0.214814	+	0.171309i
$136$	9.18225	+	13.5580i	0.787371	+	1.16259i
$137$	−3.88033	−	17.0008i	−0.331519	−	1.45248i	−0.816190	−	0.577783i	$-0.803918\pi$
$137$	−3.88033	−	17.0008i	−0.331519	−	1.45248i	0.484671	−	0.874696i	$-0.338939\pi$
$138$	−5.80609	−	7.68158i	−0.494247	−	0.653899i
$139$	1.40744	−	6.16641i	0.119378	−	0.523028i	−0.879510	−	0.475880i	$-0.842130\pi$
$139$	1.40744	−	6.16641i	0.119378	−	0.523028i	0.998888	−	0.0471478i	$-0.0150132\pi$
$140$	16.0130	+	5.37977i	1.35335	+	0.454674i
$141$	0.923298	+	4.04523i	0.0777557	+	0.340670i
$142$	−5.32806	+	6.33644i	−0.447121	+	0.531742i
$143$	9.87861	−	12.3874i	0.826091	−	1.03588i
$144$	−3.40452	−	2.09983i	−0.283710	−	0.174986i
$145$	−5.26143	−	10.9255i	−0.436938	−	0.907311i
$146$	−8.85850	−	4.55305i	−0.733135	−	0.376813i
$147$	−2.20173	+	6.64473i	−0.181595	+	0.548048i
$148$	1.69839	+	2.37264i	0.139607	+	0.195030i
$149$	17.6772	−	8.51289i	1.44817	−	0.697403i	0.465895	−	0.884840i	$-0.345732\pi$
$149$	17.6772	−	8.51289i	1.44817	−	0.697403i	0.982277	+	0.187437i	$0.0600180\pi$
$150$	5.61924	+	4.72501i	0.458809	+	0.385795i
$151$	−7.20531	−	5.74604i	−0.586359	−	0.467606i	0.284813	−	0.958583i	$-0.408068\pi$
$151$	−7.20531	−	5.74604i	−0.586359	−	0.467606i	−0.871173	+	0.490977i	$0.836640\pi$
$152$	−1.29511	+	16.5919i	−0.105047	+	1.34578i
$153$	−5.64419	+	1.28825i	−0.456306	+	0.104149i
$154$	17.7030	−	6.96940i	1.42655	−	0.561611i
$155$	−18.2442	−	4.16412i	−1.46541	−	0.334470i
$156$	−6.13951	+	1.06949i	−0.491554	+	0.0856275i
$157$	−10.1419	+	2.31483i	−0.809413	+	0.184743i	−0.607149	−	0.794588i	$-0.707687\pi$
$157$	−10.1419	+	2.31483i	−0.809413	+	0.184743i	−0.202264	+	0.979331i	$0.564830\pi$
$158$	18.8550	+	0.489704i	1.50002	+	0.0389588i
$159$	−6.48315	−	8.12961i	−0.514147	−	0.644720i
$160$	−6.26409	+	16.9377i	−0.495220	+	1.33904i
$161$	−13.5315	−	11.8916i	−1.06643	−	0.937186i
$162$	1.12820	−	0.852743i	0.0886395	−	0.0669979i
$163$	7.20211	−	1.64383i	0.564112	−	0.128755i	0.0690513	−	0.997613i	$-0.478003\pi$
$163$	7.20211	−	1.64383i	0.564112	−	0.128755i	0.495061	+	0.868858i	$0.335146\pi$
$164$	−5.70746	−	1.61856i	−0.445678	−	0.126389i
$165$	16.2326			1.26371
$166$	−1.65914	+	3.22805i	−0.128774	+	0.250545i
$167$	−1.79551	−	2.25149i	−0.138940	−	0.174226i	0.707493	−	0.706720i	$-0.249826\pi$
$167$	−1.79551	−	2.25149i	−0.138940	−	0.174226i	−0.846433	+	0.532495i	$0.821255\pi$
$168$	−7.02941	−	2.56658i	−0.542331	−	0.198016i
$169$	2.05170	−	2.57275i	0.157823	−	0.197904i
$170$	10.7253	+	23.8354i	0.822596	+	1.82809i
$171$	−5.30127	−	2.55296i	−0.405399	−	0.195230i
$172$	−19.9264	+	3.47112i	−1.51937	+	0.264671i
$173$	−13.9422	−	11.1185i	−1.06001	−	0.845326i	−0.0716412	−	0.997430i	$-0.522824\pi$
$173$	−13.9422	−	11.1185i	−1.06001	−	0.845326i	−0.988364	+	0.152104i	$0.951395\pi$
$174$	2.20433	+	4.89880i	0.167110	+	0.371377i
$175$	12.0762	+	6.54376i	0.912876	+	0.494661i
$176$	6.87735	+	19.1411i	0.518400	+	1.44281i
$177$	−8.44813			−0.635000
$178$	−11.0754	−	5.69251i	−0.830140	−	0.426671i
$179$	−13.4340	+	10.7133i	−1.00410	+	0.800746i	−0.980007	−	0.198963i	$-0.936243\pi$
$179$	−13.4340	+	10.7133i	−1.00410	+	0.800746i	−0.0240973	+	0.999710i	$0.507671\pi$
$180$	−4.77846	−	4.23461i	−0.356166	−	0.315629i
$181$	−8.53734	+	17.7280i	−0.634575	+	1.31771i	0.297249	+	0.954800i	$0.403931\pi$
$181$	−8.53734	+	17.7280i	−0.634575	+	1.31771i	−0.931825	+	0.362909i	$0.881784\pi$
$182$	−10.8485	+	4.27089i	−0.804145	+	0.316580i
$183$	1.66897	+	3.46566i	0.123374	+	0.256189i
$184$	13.1424	−	14.0764i	0.968873	−	1.03773i
$185$	2.02081	+	4.19626i	0.148573	+	0.308515i
$186$	8.03144	+	2.05389i	0.588894	+	0.150599i
$187$	26.5223	+	12.7725i	1.93950	+	0.934014i
$188$	−7.65354	+	3.20763i	−0.558192	+	0.233941i
$189$	1.74652	−	1.98738i	0.127040	−	0.144561i
$190$	−6.58159	+	25.7363i	−0.477479	+	1.86711i
$191$	25.4801	+	5.81567i	1.84368	+	0.420807i	0.994267	−	0.106927i	$-0.0341012\pi$
$191$	25.4801	+	5.81567i	1.84368	+	0.420807i	0.849409	+	0.527734i	$0.176958\pi$
$192$	2.96883	−	7.42873i	0.214257	−	0.536123i
$193$	−3.19383	+	13.9931i	−0.229897	+	1.00724i	0.719827	+	0.694154i	$0.244221\pi$
$193$	−3.19383	+	13.9931i	−0.229897	+	1.00724i	−0.949723	+	0.313090i	$0.898636\pi$
$194$	−1.72723	−	0.0448597i	−0.124008	−	0.00322074i
$195$	−9.94745			−0.712352
$196$	−13.8480	−	2.05748i	−0.989142	−	0.146963i
$197$	21.0966			1.50307			0.751535	−	0.659693i	$-0.229314\pi$
$197$	21.0966			1.50307			0.751535	+	0.659693i	$0.229314\pi$
$198$	−7.18853	−	0.186701i	−0.510867	−	0.0132683i
$199$	4.49876	−	19.7104i	0.318909	−	1.39723i	−0.520561	−	0.853824i	$-0.674277\pi$
$199$	4.49876	−	19.7104i	0.318909	−	1.39723i	0.839470	−	0.543406i	$-0.182866\pi$
$200$	−7.38114	+	12.6935i	−0.521926	+	0.897566i
$201$	−3.90559	−	0.891426i	−0.275479	−	0.0628763i
$202$	−0.564244	+	2.20639i	−0.0397001	+	0.155241i
$203$	5.88357	+	8.14766i	0.412945	+	0.571853i
$204$	−4.47551	−	10.6788i	−0.313349	−	0.747662i
$205$	−8.53172	−	4.10866i	−0.595881	−	0.286961i
$206$	4.68673	+	1.19854i	0.326540	+	0.0835066i
$207$	2.95419	+	6.13445i	0.205331	+	0.426373i
$208$	−4.21448	−	11.7298i	−0.292222	−	0.813313i
$209$	12.9812	+	26.9558i	0.897930	+	1.86457i
$210$	−10.3508	−	5.96155i	−0.714275	−	0.411386i
$211$	7.34164	−	15.2451i	0.505419	−	1.04951i	−0.479666	−	0.877451i	$-0.659242\pi$
$211$	7.34164	−	15.2451i	0.505419	−	1.04951i	0.985086	−	0.172063i	$-0.0550434\pi$
$212$	13.7928	−	15.5642i	0.947294	−	1.06896i
$213$	4.57684	−	3.64991i	0.313600	−	0.250088i
$214$	7.12668	+	3.66294i	0.487170	+	0.250393i
$215$	−32.2854			−2.20185
$216$	2.06741	+	1.93024i	0.140670	+	0.131336i
$217$	15.4913	+	0.740773i	1.05162	+	0.0502870i
$218$	0.0997302	+	0.221635i	0.00675458	+	0.0150110i
$219$	5.50632	+	4.39114i	0.372082	+	0.296726i
$220$	5.57147	+	31.9836i	0.375628	+	2.15634i
$221$	−16.2530	−	7.82704i	−1.09330	−	0.526503i
$222$	−0.846642	−	1.88153i	−0.0568229	−	0.126280i
$223$	−2.40177	+	3.01172i	−0.160834	+	0.201680i	−0.855718	−	0.517442i	$-0.826884\pi$
$223$	−2.40177	+	3.01172i	−0.160834	+	0.201680i	0.694884	+	0.719122i	$0.255456\pi$
$224$	2.64432	−	14.7312i	0.176681	−	0.984268i
$225$	−3.23679	−	4.05881i	−0.215786	−	0.270587i
$226$	−4.70242	+	9.14912i	−0.312800	+	0.608590i
$227$	10.1006			0.670399			0.335200	−	0.942147i	$-0.391196\pi$
$227$	10.1006			0.670399			0.335200	+	0.942147i	$0.391196\pi$
$228$	3.21063	−	11.3215i	0.212629	−	0.749784i
$229$	−15.9064	+	3.63054i	−1.05113	+	0.239913i	−0.712982	−	0.701182i	$-0.752656\pi$
$229$	−15.9064	+	3.63054i	−1.05113	+	0.239913i	−0.338143	+	0.941095i	$0.609799\pi$
$230$	24.5227	−	18.5354i	1.61698	−	1.22219i
$231$	−13.2438	+	2.36371i	−0.871376	+	0.155520i
$232$	−8.89566	+	6.02466i	−0.584029	+	0.395538i
$233$	10.9919	+	13.7834i	0.720101	+	0.902978i	0.998344	−	0.0575328i	$-0.0183234\pi$
$233$	10.9919	+	13.7834i	0.720101	+	0.902978i	−0.278243	+	0.960511i	$0.589752\pi$
$234$	4.40518	+	0.114412i	0.287975	+	0.00747932i
$235$	−12.9140	+	2.94754i	−0.842416	+	0.192276i
$236$	−2.89962	−	16.6456i	−0.188749	−	1.08354i
$237$	−13.0026	−	2.96776i	−0.844610	−	0.192777i
$238$	−12.2213	−	17.8849i	−0.792189	−	1.15931i
$239$	10.1502	−	2.31671i	0.656561	−	0.149856i	0.118754	−	0.992924i	$-0.462110\pi$
$239$	10.1502	−	2.31671i	0.656561	−	0.149856i	0.537807	+	0.843068i	$0.319253\pi$
$240$	6.70348	−	10.8686i	0.432708	−	0.701564i
$241$	−11.3389	−	9.04244i	−0.730401	−	0.582475i	0.186089	−	0.982533i	$-0.440419\pi$
$241$	−11.3389	−	9.04244i	−0.730401	−	0.582475i	−0.916490	+	0.400058i	$0.868990\pi$
$242$	16.0791	+	13.5203i	1.03361	+	0.869119i
$243$	−0.900969	+	0.433884i	−0.0577972	+	0.0278337i
$244$	−6.25565	+	4.47793i	−0.400477	+	0.286670i
$245$	−21.2126	−	7.02879i	−1.35522	−	0.449053i
$246$	3.73097	+	1.91763i	0.237878	+	0.122263i
$247$	−7.95497	−	16.5187i	−0.506163	−	1.05106i
$248$	−1.29024	+	16.5295i	−0.0819304	+	1.04963i
$249$	1.60014	−	2.00651i	0.101405	−	0.127157i
$250$	−0.556173	+	0.661433i	−0.0351755	+	0.0418327i
$251$	−0.725522	−	3.17872i	−0.0457946	−	0.200639i	0.946855	−	0.321659i	$-0.104241\pi$
$251$	−0.725522	−	3.17872i	−0.0457946	−	0.200639i	−0.992650	+	0.121020i	$0.961383\pi$
$252$	4.51524	+	2.75909i	0.284433	+	0.173807i
$253$	7.70385	−	33.7528i	0.484337	−	2.12202i
$254$	9.15564	+	12.1131i	0.574476	+	0.760043i
$255$	−4.11261	−	18.0185i	−0.257542	−	1.12836i
$256$	15.6560	+	3.29983i	0.978502	+	0.206239i
$257$	18.5116	−	14.7625i	1.15472	−	0.920860i	0.156952	−	0.987606i	$-0.449833\pi$
$257$	18.5116	−	14.7625i	1.15472	−	0.920860i	0.997770	+	0.0667464i	$0.0212619\pi$
$258$	14.2974	+	0.371334i	0.890119	+	0.0231183i
$259$	−2.25976	−	3.12936i	−0.140415	−	0.194449i
$260$	−3.41423	−	19.5998i	−0.211741	−	1.21553i
$261$	−0.845248	−	3.70327i	−0.0523195	−	0.229227i
$262$	−0.0519665	+	0.0104494i	−0.00321050	+	0.000645566i
$263$			9.88378i			0.609460i	0.952439	+	0.304730i	$0.0985662\pi$
$263$			9.88378i			0.609460i	−0.952439	+	0.304730i	$0.901434\pi$
$264$	−2.09943	−	14.2279i	−0.129211	−	0.875664i
$265$	25.9530	−	20.6968i	1.59428	−	1.27139i
$266$	1.62216	−	21.9560i	0.0994611	−	1.34621i
$267$	6.88434	+	5.49008i	0.421315	+	0.335987i
$268$	0.415900	−	8.00126i	0.0254051	−	0.488755i
$269$	−0.405321	+	0.841658i	−0.0247129	+	0.0513168i	−0.912960	−	0.408049i	$-0.866209\pi$
$269$	−0.405321	+	0.841658i	−0.0247129	+	0.0513168i	0.888247	+	0.459366i	$0.151923\pi$
$270$	2.72230	+	3.60166i	0.165674	+	0.219190i
$271$	13.5302	−	16.9663i	0.821899	−	1.03063i	−0.177023	−	0.984207i	$-0.556647\pi$
$271$	13.5302	−	16.9663i	0.821899	−	1.03063i	0.998922	−	0.0464217i	$-0.0147818\pi$
$272$	19.5045	−	12.4835i	1.18264	−	0.756921i
$273$	8.11586	−	1.44849i	0.491194	−	0.0876668i
$274$	−24.1772	+	4.86153i	−1.46060	+	0.293696i
$275$			26.3972i			1.59181i
$276$	−11.0729	+	7.92624i	−0.666511	+	0.477103i
$277$	−16.1292	−	20.2254i	−0.969109	−	1.21522i	−0.976559	−	0.215252i	$-0.930943\pi$
$277$	−16.1292	−	20.2254i	−0.969109	−	1.21522i	0.00744956	−	0.999972i	$-0.497629\pi$
$278$	−8.66600	−	2.21617i	−0.519752	−	0.132917i
$279$	−5.28134	−	2.54336i	−0.316186	−	0.152267i
$280$	8.19354	−	22.4407i	0.489658	−	1.34109i
$281$	−24.1479	+	11.6290i	−1.44054	+	0.693729i	−0.980925	−	0.194387i	$-0.937728\pi$
$281$	−24.1479	+	11.6290i	−1.44054	+	0.693729i	−0.459619	+	0.888116i	$0.652014\pi$
$282$	5.75279	−	1.15677i	0.342574	−	0.0688846i
$283$	−29.1265	+	14.0266i	−1.73139	+	0.833794i	−0.745480	+	0.666528i	$0.767780\pi$
$283$	−29.1265	+	14.0266i	−1.73139	+	0.833794i	−0.985912	+	0.167266i	$0.946506\pi$
$284$	8.76242	+	7.76514i	0.519954	+	0.460776i
$285$	8.15006	−	16.9238i	0.482768	−	1.00248i
$286$	−17.1498	−	14.4206i	−1.01409	−	0.852707i
$287$	7.55908	+	2.10980i	0.446199	+	0.124538i
$288$	−3.09361	+	4.73599i	−0.182293	+	0.279071i
$289$	3.67527	−	16.1024i	0.216192	−	0.947200i
$290$	−15.6389	+	7.03712i	−0.918349	+	0.413234i
$291$	1.19111	+	0.271864i	0.0698243	+	0.0159369i
$292$	−6.76208	+	12.3564i	−0.395721	+	0.723104i
$293$		−	29.2705i		−	1.71000i	−0.518627	−	0.855001i	$-0.673557\pi$
$293$		−	29.2705i		−	1.71000i	0.518627	−	0.855001i	$-0.326443\pi$
$294$	9.31305	+	3.35664i	0.543148	+	0.195763i
$295$		−	26.9698i		−	1.57024i
$296$	3.41665	−	2.31396i	0.198589	−	0.134496i
$297$	4.95729	+	1.13147i	0.287651	+	0.0656545i
$298$	−11.3859	−	25.3035i	−0.659568	−	1.46579i
$299$	−4.72097	+	20.6839i	−0.273021	+	1.19618i
$300$	6.88624	−	7.77064i	0.397577	−	0.448638i
$301$	26.3408	−	4.70123i	1.51826	−	0.270974i
$302$	−8.38795	+	9.97542i	−0.482672	+	0.574021i
$303$	0.698710	−	1.45089i	0.0401398	−	0.0833512i
$304$	23.4090	+	2.44016i	1.34260	+	0.139953i
$305$	−11.0638	+	5.32803i	−0.633509	+	0.305082i
$306$	1.61400	+	8.02670i	0.0922665	+	0.458856i
$307$	−24.2271	+	11.6672i	−1.38271	+	0.665880i	−0.969576	−	0.244789i	$-0.921281\pi$
$307$	−24.2271	+	11.6672i	−1.38271	+	0.665880i	−0.413137	+	0.910669i	$0.635567\pi$
$308$	−9.20289	−	25.2833i	−0.524383	−	1.44065i
$309$	−3.08192	−	1.48417i	−0.175324	−	0.0844316i
$310$	−6.55685	+	25.6396i	−0.372404	+	1.45623i
$311$	7.93806	+	9.95401i	0.450126	+	0.564440i	0.954181	−	0.299232i	$-0.0967303\pi$
$311$	7.93806	+	9.95401i	0.450126	+	0.564440i	−0.504054	+	0.863672i	$0.668159\pi$
$312$	1.28654	+	8.71891i	0.0728362	+	0.493611i
$313$			11.7897i			0.666393i	0.942857	+	0.333196i	$0.108127\pi$
$313$			11.7897i			0.666393i	−0.942857	+	0.333196i	$0.891873\pi$
$314$	2.90017	+	14.4230i	0.163666	+	0.813937i
$315$	6.34451	+	5.57558i	0.357473	+	0.314148i
$316$	1.38463	−	26.6380i	0.0778913	−	1.49851i
$317$	5.55571	−	6.96665i	0.312040	−	0.391286i	−0.600937	−	0.799296i	$-0.705206\pi$
$317$	5.55571	−	6.96665i	0.312040	−	0.391286i	0.912977	+	0.408010i	$0.133777\pi$
$318$	−11.7312	+	8.86696i	−0.657851	+	0.497234i
$319$	−8.38027	+	17.4018i	−0.469205	+	0.974315i
$320$	23.7155	+	9.47768i	1.32574	+	0.529819i
$321$	−4.42984	−	3.53268i	−0.247250	−	0.197175i
$322$	−17.3084	+	18.6934i	−0.964558	+	1.04174i
$323$	26.6326	−	21.2388i	1.48188	−	1.18176i
$324$	−1.16413	−	1.62628i	−0.0646739	−	0.0903491i
$325$		−	16.1763i		−	0.897302i
$326$	−2.05950	−	10.2422i	−0.114065	−	0.567265i
$327$	−0.0382413	−	0.167546i	−0.00211475	−	0.00926533i
$328$	−2.49779	+	8.00942i	−0.137917	+	0.442246i
$329$	10.1070	−	4.28528i	0.557216	−	0.236255i
$330$	0.596025	−	22.9487i	0.0328101	−	1.26328i
$331$	−1.43996	+	1.14833i	−0.0791473	+	0.0631179i	−0.662264	−	0.749270i	$-0.730404\pi$
$331$	−1.43996	+	1.14833i	−0.0791473	+	0.0631179i	0.583117	+	0.812388i	$0.301833\pi$
$332$	4.50269	+	2.46411i	0.247117	+	0.135235i
$333$	0.324643	+	1.42235i	0.0177903	+	0.0779445i
$334$	−3.24895	+	2.45570i	−0.177774	+	0.134370i
$335$	2.84579	−	12.4682i	0.155482	−	0.681211i
$336$	−3.88657	+	9.84350i	−0.212030	+	0.537007i
$337$	−3.43792	−	15.0625i	−0.187275	−	0.820507i	−0.978045	−	0.208393i	$-0.933177\pi$
$337$	−3.43792	−	15.0625i	−0.187275	−	0.820507i	0.790770	−	0.612114i	$-0.209681\pi$
$338$	−3.56186	−	2.99503i	−0.193739	−	0.162908i
$339$	4.53520	−	5.68696i	0.246318	−	0.308873i
$340$	34.0908	−	14.2876i	1.84884	−	0.774855i
$341$	12.9324	+	26.8544i	0.700330	+	1.45425i
$342$	−3.80386	+	7.40087i	−0.205689	+	0.400193i
$343$	18.3303	+	2.64574i	0.989743	+	0.142856i
$344$	4.17560	+	28.2981i	0.225134	+	1.52573i
$345$	−19.5836	+	9.43096i	−1.05435	+	0.507746i
$346$	−16.2306	+	19.3024i	−0.872563	+	1.03770i
$347$	−16.3638	−	13.0497i	−0.878453	−	0.700543i	0.0765733	−	0.997064i	$-0.475602\pi$
$347$	−16.3638	−	13.0497i	−0.878453	−	0.700543i	−0.955026	+	0.296521i	$0.904174\pi$
$348$	7.00655	−	2.93648i	0.375591	−	0.157412i
$349$	−29.5226	+	6.73835i	−1.58031	+	0.360695i	−0.920502	−	0.390739i	$-0.872220\pi$
$349$	−29.5226	+	6.73835i	−1.58031	+	0.360695i	−0.659808	+	0.751434i	$0.729362\pi$
$350$	9.69456	−	16.8323i	0.518196	−	0.899725i
$351$	−3.03786	−	0.693371i	−0.162149	−	0.0370094i
$352$	27.3130	−	9.01995i	1.45579	−	0.480765i
$353$	−31.4697	+	7.18275i	−1.67496	+	0.382299i	−0.951399	−	0.307960i	$-0.900354\pi$
$353$	−31.4697	+	7.18275i	−1.67496	+	0.382299i	−0.723562	+	0.690259i	$0.757497\pi$
$354$	−0.310196	+	11.9434i	−0.0164867	+	0.634786i
$355$	11.6520	+	14.6111i	0.618423	+	0.775477i
$356$	−8.45437	+	15.4488i	−0.448081	+	0.818782i
$357$	5.97912	+	14.1020i	0.316449	+	0.746355i
$358$	14.6525	+	19.3855i	0.774407	+	1.02456i
$359$	−31.4480	+	7.17781i	−1.65976	+	0.378830i	−0.946662	−	0.322230i	$-0.895568\pi$
$359$	−31.4480	+	7.17781i	−1.65976	+	0.378830i	−0.713102	+	0.701060i	$0.752711\pi$
$360$	−6.16208	+	6.60001i	−0.324770	+	0.347851i
$361$	15.6211			0.822163
$362$	24.7492	+	12.7205i	1.30079	+	0.668573i
$363$	−9.26190	−	11.6141i	−0.486123	−	0.609580i
$364$	5.63959	+	15.4938i	0.295595	+	0.812093i
$365$	−14.0183	+	17.5784i	−0.733750	+	0.920094i
$366$	4.96081	−	2.23224i	0.259306	−	0.116681i
$367$	17.4544	+	8.40559i	0.911112	+	0.438768i	0.829890	−	0.557928i	$-0.188403\pi$
$367$	17.4544	+	8.40559i	0.911112	+	0.438768i	0.0812222	+	0.996696i	$0.474118\pi$
$368$	−19.4178	−	19.0968i	−1.01222	−	0.995489i
$369$	−2.31912	−	1.84943i	−0.120728	−	0.0962777i
$370$	6.00661	−	2.70282i	0.312269	−	0.140513i
$371$	−18.1606	+	20.6651i	−0.942850	+	1.07288i
$372$	3.19856	−	11.2789i	0.165838	−	0.584785i
$373$	7.15905			0.370682			0.185341	−	0.982674i	$-0.440661\pi$
$373$	7.15905			0.370682			0.185341	+	0.982674i	$0.440661\pi$
$374$	19.0307	−	37.0265i	0.984055	−	1.91460i
$375$	0.477757	−	0.380998i	0.0246713	−	0.0196747i
$376$	4.25373	+	10.9379i	0.219369	+	0.564077i
$377$	5.13548	−	10.6639i	0.264491	−	0.549221i
$378$	−2.74550	−	2.54209i	−0.141213	−	0.130751i
$379$	4.29612	+	8.92099i	0.220677	+	0.458240i	0.981687	−	0.190499i	$-0.0610107\pi$
$379$	4.29612	+	8.92099i	0.220677	+	0.458240i	−0.761010	+	0.648740i	$0.775296\pi$
$380$	36.1427	+	10.2496i	1.85408	+	0.525794i
$381$	−4.65847	−	9.67342i	−0.238661	−	0.495584i
$382$	9.15740	−	35.8086i	0.468533	−	1.83213i
$383$	−2.84793	−	1.37149i	−0.145522	−	0.0700799i	0.359705	−	0.933066i	$-0.382877\pi$
$383$	−2.84793	−	1.37149i	−0.145522	−	0.0700799i	−0.505228	+	0.862986i	$0.668592\pi$
$384$	−10.3933	−	4.46991i	−0.530379	−	0.228104i
$385$	−7.54589	−	42.2794i	−0.384574	−	2.15476i
$386$	19.6653	+	5.02903i	1.00094	+	0.255971i
$387$	−9.85966	−	2.25040i	−0.501195	−	0.114394i
$388$	−0.126840	+	2.44020i	−0.00643931	+	0.123882i
$389$	0.818385	−	3.58558i	0.0414938	−	0.181796i	−0.949934	−	0.312450i	$-0.898850\pi$
$389$	0.818385	−	3.58558i	0.0414938	−	0.181796i	0.991428	+	0.130654i	$0.0417076\pi$
$390$	−0.365248	+	14.0631i	−0.0184950	+	0.712112i
$391$	−39.4180			−1.99346
$392$	−3.41720	+	19.5019i	−0.172595	+	0.984993i
$393$	0.0374814			0.00189069
$394$	0.774619	−	29.8250i	0.0390248	−	1.50256i
$395$	9.47428	−	41.5095i	0.476703	−	2.08857i
$396$	−0.527893	+	10.1558i	−0.0265276	+	0.510350i
$397$	11.1981	+	2.55590i	0.562019	+	0.128277i	0.494086	−	0.869413i	$-0.335503\pi$
$397$	11.1981	+	2.55590i	0.562019	+	0.128277i	0.0679322	+	0.997690i	$0.478360\pi$
$398$	−27.7001	−	7.08379i	−1.38848	−	0.355078i
$399$	−4.18507	+	14.9944i	−0.209516	+	0.750660i
$400$	17.6743	+	10.9011i	0.883713	+	0.545053i
$401$	11.3243	+	5.45350i	0.565509	+	0.272335i	0.694718	−	0.719283i	$-0.255529\pi$
$401$	11.3243	+	5.45350i	0.565509	+	0.272335i	−0.129209	+	0.991617i	$0.541244\pi$
$402$	−1.40365	+	5.48875i	−0.0700075	+	0.273754i
$403$	−7.92506	−	16.4566i	−0.394775	−	0.819760i
$404$	3.09854	+	0.878706i	0.154158	+	0.0437173i
$405$	−1.38513	−	2.87625i	−0.0688277	−	0.142922i
$406$	11.7347	−	8.01865i	0.582382	−	0.397959i
$407$	3.21870	−	6.68370i	0.159545	−	0.331299i
$408$	−15.2613	+	5.93510i	−0.755546	+	0.293831i
$409$	−26.2962	+	20.9706i	−1.30027	+	1.03693i	−0.303816	+	0.952731i	$0.598261\pi$
$409$	−26.2962	+	20.9706i	−1.30027	+	1.03693i	−0.996449	+	0.0841966i	$0.973168\pi$
$410$	−6.12183	+	11.9107i	−0.302336	+	0.588230i
$411$	17.4380			0.860156
$412$	1.86651	−	6.58180i	0.0919565	−	0.324262i
$413$	3.92719	+	22.0039i	0.193245	+	1.08274i
$414$	8.78096	−	3.95121i	0.431561	−	0.194191i
$415$	6.40557	+	5.10827i	0.314437	+	0.250755i
$416$	−16.7376	+	5.52748i	−0.820626	+	0.271007i
$417$	5.69862	+	2.74431i	0.279062	+	0.134389i
$418$	38.5850	−	17.3623i	1.88725	−	0.849216i
$419$	8.79356	−	11.0268i	0.429593	−	0.538693i	−0.519174	−	0.854669i	$-0.673760\pi$
$419$	8.79356	−	11.0268i	0.429593	−	0.538693i	0.948767	+	0.315976i	$0.102332\pi$
$420$	−8.80813	+	14.4145i	−0.429793	+	0.703353i
$421$	14.2128	+	17.8223i	0.692692	+	0.868608i	0.996454	−	0.0841398i	$-0.0268142\pi$
$421$	14.2128	+	17.8223i	0.692692	+	0.868608i	−0.303762	+	0.952748i	$0.598243\pi$
$422$	−21.2830	−	10.9389i	−1.03604	−	0.532498i
$423$	−4.14926			−0.201744
$424$	−21.4973	−	20.0709i	−1.04400	−	0.974729i
$425$	29.3013	−	6.68784i	1.42132	−	0.324408i
$426$	−4.99196	−	6.60447i	−0.241861	−	0.319988i
$427$	8.25079	−	5.95804i	0.399284	−	0.288330i
$428$	5.44010	−	9.94075i	0.262957	−	0.480504i
$429$	9.87861	+	12.3874i	0.476944	+	0.598068i
$430$	−1.18545	+	45.6431i	−0.0571674	+	2.20111i
$431$	7.79416	−	1.77897i	0.375432	−	0.0856898i	−0.0306415	−	0.999530i	$-0.509755\pi$
$431$	7.79416	−	1.77897i	0.375432	−	0.0856898i	0.406073	+	0.913841i	$0.366898\pi$
$432$	2.80476	−	2.85190i	0.134944	−	0.137212i
$433$	4.24771	+	0.969512i	0.204132	+	0.0465918i	0.323364	−	0.946275i	$-0.395186\pi$
$433$	4.24771	+	0.969512i	0.204132	+	0.0465918i	−0.119232	+	0.992866i	$0.538043\pi$
$434$	1.61606	−	21.8734i	0.0775735	−	1.04996i
$435$	11.8223	−	2.69837i	0.566837	−	0.129377i
$436$	0.316996	−	0.132854i	0.0151813	−	0.00636257i
$437$	−31.3220	−	24.9784i	−1.49833	−	1.19488i
$438$	6.41010	−	7.62325i	0.306286	−	0.364253i
$439$	−16.5374	+	7.96401i	−0.789289	+	0.380101i	−0.784690	−	0.619888i	$-0.787178\pi$
$439$	−16.5374	+	7.96401i	−0.789289	+	0.380101i	−0.00459840	+	0.999989i	$0.501464\pi$
$440$	45.4210	−	6.70222i	2.16536	−	0.319516i
$441$	−5.98820	−	3.62512i	−0.285152	−	0.172625i
$442$	−11.6621	+	22.6901i	−0.554712	+	1.07926i
$443$	7.42674	+	15.4218i	0.352855	+	0.732711i	0.999549	−	0.0300388i	$-0.00956308\pi$
$443$	7.42674	+	15.4218i	0.352855	+	0.732711i	−0.646694	+	0.762750i	$0.723849\pi$
$444$	−2.69108	+	1.12784i	−0.127713	+	0.0535251i
$445$	−17.5265	+	21.9776i	−0.830837	+	1.04184i
$446$	4.16960	+	3.50605i	0.197436	+	0.166017i
$447$	4.36591	+	19.1283i	0.206500	+	0.904737i
$448$	−20.7289	−	4.27927i	−0.979349	−	0.202177i
$449$	−1.43348	+	6.28049i	−0.0676501	+	0.296395i	−0.997424	−	0.0717377i	$-0.977146\pi$
$449$	−1.43348	+	6.28049i	−0.0676501	+	0.296395i	0.929773	+	0.368132i	$0.120003\pi$
$450$	−5.85694	+	4.42695i	−0.276099	+	0.208688i
$451$	3.35623	+	14.7046i	0.158039	+	0.692414i
$452$	12.7618	+	6.98392i	0.600264	+	0.328496i
$453$	7.20531	−	5.74604i	0.338535	−	0.269972i
$454$	0.370870	−	14.2796i	0.0174058	−	0.670173i
$455$	4.62417	+	25.9091i	0.216784	+	1.21464i
$456$	−15.8877	−	4.95469i	−0.744011	−	0.232024i
$457$	−0.632159	−	2.76967i	−0.0295712	−	0.129560i	0.957988	−	0.286809i	$-0.0925945\pi$
$457$	−0.632159	−	2.76967i	−0.0295712	−	0.129560i	−0.987559	+	0.157249i	$0.949737\pi$
$458$	4.54858	+	22.6208i	0.212541	+	1.05700i
$459$		−	5.78934i		−	0.270223i
$460$	−25.3037	−	35.3492i	−1.17979	−	1.64816i
$461$	−19.6657	+	15.6828i	−0.915922	+	0.730423i	−0.963292	−	0.268454i	$-0.913487\pi$
$461$	−19.6657	+	15.6828i	−0.915922	+	0.730423i	0.0473708	+	0.998877i	$0.484916\pi$
$462$	2.85538	+	18.8100i	0.132844	+	0.875120i
$463$	14.5836	+	11.6300i	0.677758	+	0.540494i	0.900756	−	0.434325i	$-0.143013\pi$
$463$	14.5836	+	11.6300i	0.677758	+	0.540494i	−0.222998	+	0.974819i	$0.571584\pi$
$464$	8.19066	+	12.7973i	0.380242	+	0.594101i
$465$	8.11942	−	16.8602i	0.376529	−	0.781871i
$466$	19.8896	−	15.0335i	0.921370	−	0.696414i
$467$	−3.55559	+	4.45857i	−0.164533	+	0.206318i	−0.857263	−	0.514880i	$-0.827837\pi$
$467$	−3.55559	+	4.45857i	−0.164533	+	0.206318i	0.692729	+	0.721198i	$0.256408\pi$
$468$	0.323496	−	6.22356i	0.0149536	−	0.287684i
$469$	−0.506250	+	10.5869i	−0.0233765	+	0.488856i
$470$	3.69287	+	18.3652i	0.170339	+	0.847124i
$471$		−	10.4027i		−	0.479333i
$472$	−23.6390	+	3.48811i	−1.08807	+	0.160553i
$473$	32.0620	+	40.2045i	1.47421	+	1.84860i
$474$	−4.67306	+	18.2733i	−0.214641	+	0.839320i
$475$	27.5211	+	13.2535i	1.26276	+	0.608111i
$476$	−25.7333	+	16.6210i	−1.17948	+	0.761823i
$477$	9.36842	−	4.51159i	0.428950	−	0.206572i
$478$	−2.90253	−	14.4347i	−0.132759	−	0.660230i
$479$	10.9330	−	5.26505i	0.499541	−	0.240566i	−0.167107	−	0.985939i	$-0.553443\pi$
$479$	10.9330	−	5.26505i	0.499541	−	0.240566i	0.666648	+	0.745372i	$0.267728\pi$
$480$	−15.1192	−	9.87603i	−0.690093	−	0.450777i
$481$	−1.97244	+	4.09581i	−0.0899354	+	0.186753i
$482$	−13.2000	+	15.6982i	−0.601242	+	0.715031i
$483$	14.6044	−	10.5461i	0.664525	−	0.479865i
$484$	19.7046	−	22.2352i	0.895662	−	1.01069i
$485$	−0.867898	+	3.80251i	−0.0394092	+	0.172663i
$486$	0.580316	+	1.28966i	0.0263237	+	0.0585004i
$487$	19.4303	+	4.43485i	0.880473	+	0.200962i	0.638779	−	0.769390i	$-0.279440\pi$
$487$	19.4303	+	4.43485i	0.880473	+	0.200962i	0.241694	+	0.970353i	$0.422297\pi$
$488$	6.10092	+	9.00826i	0.276176	+	0.407785i
$489$			7.38732i			0.334066i
$490$	−10.7157	+	29.7310i	−0.484088	+	1.34311i
$491$			9.05384i			0.408594i	0.978909	+	0.204297i	$0.0654908\pi$
$491$			9.05384i			0.408594i	−0.978909	+	0.204297i	$0.934509\pi$
$492$	2.84801	−	5.20420i	0.128398	−	0.234623i
$493$	21.4395	+	4.89343i	0.965587	+	0.220389i
$494$	−23.6451	+	10.6397i	−1.06384	+	0.478703i
$495$	−3.61210	+	15.8256i	−0.162352	+	0.711310i
$496$	23.3210	+	2.43099i	1.04715	+	0.109155i
$497$	−11.6341	−	10.2241i	−0.521862	−	0.458614i
$498$	−2.77792	−	2.33585i	−0.124482	−	0.104672i
$499$	−3.80743	+	7.90620i	−0.170444	+	0.353930i	−0.968640	−	0.248467i	$-0.920073\pi$
$499$	−3.80743	+	7.90620i	−0.170444	+	0.353930i	0.798197	+	0.602397i	$0.205788\pi$
$500$	0.914671	+	0.810569i	0.0409053	+	0.0362498i
$501$	2.59458	−	1.24948i	0.115917	−	0.0558228i
$502$	−4.52051	+	0.908982i	−0.201760	+	0.0405699i
$503$	1.03217	−	0.497068i	0.0460223	−	0.0221632i	−0.410731	−	0.911757i	$-0.634726\pi$
$503$	1.03217	−	0.497068i	0.0460223	−	0.0221632i	0.456753	+	0.889593i	$0.349012\pi$
$504$	4.06642	−	6.28206i	0.181133	−	0.279825i
$505$	4.63181	+	2.23056i	0.206113	+	0.0992587i
$506$	−47.4347	−	12.1305i	−2.10873	−	0.539269i
$507$	2.05170	+	2.57275i	0.0911191	+	0.114260i
$508$	17.4609	−	12.4989i	0.774703	−	0.554549i
$509$			11.7475i			0.520700i	0.965514	+	0.260350i	$0.0838379\pi$
$509$			11.7475i			0.520700i	−0.965514	+	0.260350i	$0.916162\pi$
$510$	−25.6244	+	5.15255i	−1.13467	+	0.228159i
$511$	8.87747	−	16.3830i	0.392716	−	0.724740i
$512$	5.23994	−	22.0123i	0.231575	−	0.972817i
$513$	3.66860	−	4.60027i	0.161972	−	0.203107i
$514$	−20.1906	−	26.7126i	−0.890569	−	1.17824i
$515$	4.73807	−	9.83871i	0.208784	−	0.433545i
$516$	1.04994	−	20.1992i	0.0462209	−	0.889219i
$517$	16.4951	+	13.1544i	0.725455	+	0.578531i
$518$	−4.50706	+	3.07981i	−0.198029	+	0.135319i
$519$	13.9422	−	11.1185i	0.611995	−	0.488049i
$520$	−27.8343	+	4.10716i	−1.22061	+	0.180111i
$521$			24.4991i			1.07333i	0.843797	+	0.536663i	$0.180315\pi$
$521$			24.4991i			1.07333i	−0.843797	+	0.536663i	$0.819685\pi$
$522$	−5.26649	+	1.05898i	−0.230508	+	0.0463504i
$523$	−7.50269	−	32.8714i	−0.328070	−	1.43737i	−0.822805	−	0.568324i	$-0.807592\pi$
$523$	−7.50269	−	32.8714i	−0.328070	−	1.43737i	0.494735	−	0.869044i	$-0.335265\pi$
$524$	0.0128646	+	0.0738507i	0.000561993	+	0.00322618i
$525$	−9.06690	+	10.3173i	−0.395712	+	0.450284i
$526$	13.9731	+	0.362910i	0.609254	+	0.0158236i
$527$	26.5324	−	21.1589i	1.15577	−	0.921697i
$528$	−20.1915	+	2.44563i	−0.878723	+	0.106432i
$529$	5.19779	+	22.7730i	0.225991	+	0.990131i
$530$	−28.3069	−	37.4506i	−1.22957	−	1.62675i
$531$	1.87989	−	8.23632i	0.0815801	−	0.357426i
$532$	−30.9804	−	3.09948i	−1.34317	−	0.134380i
$533$	−2.05672	−	9.01108i	−0.0890864	−	0.390313i
$534$	8.01430	−	9.53106i	0.346813	−	0.412449i
$535$	11.2777	−	14.1418i	0.487579	−	0.611404i
$536$	−11.2964	−	0.881761i	−0.487930	−	0.0380863i
$537$	−7.45531	−	15.4811i	−0.321720	−	0.668059i
$538$	1.17500	+	0.603921i	0.0506579	+	0.0260369i
$539$	12.3130	+	33.3958i	0.530358	+	1.43846i
$540$	5.19175	−	3.71637i	0.223417	−	0.159927i
$541$	10.1553	−	4.89054i	0.436611	−	0.210261i	−0.202649	−	0.979251i	$-0.564955\pi$
$541$	10.1553	−	4.89054i	0.436611	−	0.210261i	0.639260	+	0.768991i	$0.279241\pi$
$542$	−23.4891	−	19.7511i	−1.00894	−	0.848380i
$543$	−15.3837	−	12.2681i	−0.660180	−	0.526476i
$544$	−16.9322	−	28.0327i	−0.725961	−	1.20189i
$545$	0.534875	−	0.122082i	0.0229115	−	0.00522940i
$546$	−1.74979	−	11.5269i	−0.0748842	−	0.493305i
$547$	4.29778	+	0.980941i	0.183760	+	0.0419420i	0.313411	−	0.949618i	$-0.398528\pi$
$547$	4.29778	+	0.980941i	0.183760	+	0.0419420i	−0.129651	+	0.991560i	$0.541386\pi$
$548$	5.98520	+	34.3587i	0.255675	+	1.46773i
$549$	−3.75015	+	0.855947i	−0.160052	+	0.0365309i
$550$	37.3187	+	0.969244i	1.59127	+	0.0413287i
$551$	13.9352	+	17.4742i	0.593659	+	0.744425i
$552$	10.7990	+	15.9452i	0.459638	+	0.678674i
$553$	−1.68542	+	35.2461i	−0.0716715	+	1.49882i
$554$	−29.1856	+	22.0598i	−1.23998	+	0.937231i
$555$	−4.54072	+	1.03639i	−0.192743	+	0.0439923i
$556$	−3.45127	+	12.1701i	−0.146367	+	0.516126i
$557$	−10.2954			−0.436228			−0.218114	−	0.975923i	$-0.569991\pi$
$557$	−10.2954			−0.436228			−0.218114	+	0.975923i	$0.569991\pi$
$558$	−3.78956	+	7.37304i	−0.160425	+	0.312126i
$559$	−19.6478	−	24.6375i	−0.831012	−	1.04206i
$560$	−31.4244	−	12.4075i	−1.32792	−	0.524312i
$561$	−18.3540	+	23.0152i	−0.774906	+	0.971701i
$562$	15.5537	+	34.5658i	0.656094	+	1.45807i
$563$	−20.2163	−	9.73565i	−0.852015	−	0.410309i	−0.0436898	−	0.999045i	$-0.513911\pi$
$563$	−20.2163	−	9.73565i	−0.852015	−	0.410309i	−0.808325	+	0.588736i	$0.799626\pi$
$564$	−1.42414	−	8.17541i	−0.0599670	−	0.344247i
$565$	18.1551	+	14.4782i	0.763789	+	0.609101i
$566$	18.7605	+	41.6923i	0.788561	+	1.75246i
$567$	1.54891	+	2.14496i	0.0650483	+	0.0900800i
$568$	11.2996	−	12.1026i	0.474121	−	0.507815i
$569$	15.9100			0.666983			0.333492	−	0.942753i	$-0.391773\pi$
$569$	15.9100			0.666983			0.333492	+	0.942753i	$0.391773\pi$
$570$	−23.6265	−	12.1434i	−0.989606	−	0.508633i
$571$	−9.32330	+	7.43508i	−0.390168	+	0.311148i	−0.798852	−	0.601527i	$-0.794559\pi$
$571$	−9.32330	+	7.43508i	−0.390168	+	0.311148i	0.408684	+	0.912676i	$0.365988\pi$
$572$	−21.0166	+	23.7158i	−0.878749	+	0.991607i
$573$	−11.3397	+	23.5472i	−0.473723	+	0.983697i
$574$	3.26026	−	10.6091i	0.136081	−	0.442815i
$575$	−15.3364	−	31.8465i	−0.639574	−	1.32809i
$576$	6.58185	+	4.54744i	0.274244	+	0.189477i
$577$	−5.89900	−	12.2494i	−0.245579	−	0.509949i	0.741348	−	0.671121i	$-0.234187\pi$
$577$	−5.89900	−	12.2494i	−0.245579	−	0.509949i	−0.986926	+	0.161172i	$0.948473\pi$
$578$	−22.6296	−	5.78710i	−0.941267	−	0.240712i
$579$	−12.9315	−	6.22751i	−0.537417	−	0.258806i
$580$	9.37441	+	22.3677i	0.389251	+	0.928769i
$581$	−5.96997	−	3.23496i	−0.247676	−	0.134209i
$582$	0.428079	−	1.67394i	0.0177444	−	0.0693870i
$583$	−51.5467	−	11.7652i	−2.13484	−	0.487264i
$584$	17.2204	+	10.0135i	0.712586	+	0.414362i
$585$	2.21352	−	9.69805i	0.0915176	−	0.400965i
$586$	−41.3808	−	1.07475i	−1.70942	−	0.0443974i
$587$	−10.4712			−0.432193			−0.216096	−	0.976372i	$-0.569333\pi$
$587$	−10.4712			−0.432193			−0.216096	+	0.976372i	$0.569333\pi$
$588$	5.08736	−	13.0430i	0.209799	−	0.537883i
$589$	34.4909			1.42117
$590$	−38.1282	−	0.990270i	−1.56971	−	0.0407688i
$591$	−4.69444	+	20.5677i	−0.193103	+	0.846041i
$592$	−3.14587	−	4.91521i	−0.129295	−	0.202014i
$593$	35.1780	+	8.02915i	1.44459	+	0.329718i	0.871750	−	0.489952i	$-0.162986\pi$
$593$	35.1780	+	8.02915i	1.44459	+	0.329718i	0.572837	+	0.819669i	$0.305843\pi$
$594$	1.78162	−	6.96676i	0.0731007	−	0.285849i
$595$	−45.0191	+	19.0878i	−1.84560	+	0.782522i
$596$	−36.1905	+	15.1676i	−1.48242	+	0.621289i
$597$	18.2151	+	8.77194i	0.745495	+	0.359012i
$598$	29.0683	+	7.43367i	1.18869	+	0.303985i
$599$	−10.5934	−	21.9975i	−0.432836	−	0.898793i	−0.997307	−	0.0733399i	$-0.976634\pi$
$599$	−10.5934	−	21.9975i	−0.432836	−	0.898793i	0.564471	−	0.825453i	$-0.309080\pi$
$600$	−10.7328	−	10.0207i	−0.438164	−	0.409091i
$601$	15.6140	+	32.4228i	0.636908	+	1.32255i	0.930384	+	0.366587i	$0.119474\pi$
$601$	15.6140	+	32.4228i	0.636908	+	1.32255i	−0.293476	+	0.955967i	$0.594812\pi$
$602$	−5.67912	−	37.4116i	−0.231464	−	1.52478i
$603$	1.73815	−	3.60931i	0.0707830	−	0.146982i
$604$	13.7946	+	12.2246i	0.561296	+	0.497413i
$605$	37.0767	−	29.5677i	1.50738	−	1.20210i
$606$	−2.02552	−	1.04107i	−0.0822810	−	0.0422904i
$607$	29.4295			1.19451			0.597253	−	0.802053i	$-0.296259\pi$
$607$	29.4295			1.19451			0.597253	+	0.802053i	$0.296259\pi$
$608$	4.30927	−	33.0046i	0.174764	−	1.33851i
$609$	−9.25260	+	3.92303i	−0.374934	+	0.158969i
$610$	7.12619	+	15.8369i	0.288531	+	0.641217i
$611$	−10.1083	−	8.06111i	−0.408939	−	0.326118i
$612$	11.4069	−	1.98706i	0.461097	−	0.0803220i
$613$	−26.7865	−	12.8997i	−1.08190	−	0.521015i	−0.193975	−	0.981006i	$-0.562138\pi$
$613$	−26.7865	−	12.8997i	−1.08190	−	0.521015i	−0.887923	+	0.459992i	$0.847852\pi$
$614$	15.6047	+	34.6791i	0.629755	+	1.39954i
$615$	5.90414	−	7.40355i	0.238078	−	0.298540i
$616$	−36.0818	+	12.0821i	−1.45378	+	0.486802i
$617$	−2.79951	−	3.51048i	−0.112704	−	0.141327i	0.722280	−	0.691601i	$-0.243094\pi$
$617$	−2.79951	−	3.51048i	−0.112704	−	0.141327i	−0.834984	+	0.550275i	$0.814523\pi$
$618$	−2.21139	+	4.30252i	−0.0889552	+	0.173073i
$619$	0.495593			0.0199196			0.00995979	−	0.999950i	$-0.496830\pi$
$619$	0.495593			0.0199196			0.00995979	+	0.999950i	$0.496830\pi$
$620$	36.0069	+	10.2111i	1.44607	+	0.410087i
$621$	−6.63801	+	1.51508i	−0.266374	+	0.0607982i
$622$	14.3638	−	10.8568i	0.575937	−	0.435320i
$623$	11.0992	−	20.4830i	0.444679	−	0.820635i
$624$	12.3735	−	1.49870i	0.495336	−	0.0599959i
$625$	−14.9677	−	18.7689i	−0.598707	−	0.750755i
$626$	16.6675	+	0.432891i	0.666168	+	0.0173018i
$627$	−29.1685	+	6.65753i	−1.16488	+	0.265876i
$628$	20.4968	−	3.57049i	0.817912	−	0.142478i
$629$	−8.23450	−	1.87947i	−0.328331	−	0.0749394i
$630$	8.11536	−	8.76474i	0.323324	−	0.349196i
$631$	−36.7063	+	8.37797i	−1.46125	+	0.333522i	−0.877958	−	0.478738i	$-0.841094\pi$
$631$	−36.7063	+	8.37797i	−1.46125	+	0.333522i	−0.583296	+	0.812260i	$0.698237\pi$
$632$	−37.6083	−	2.93558i	−1.49598	−	0.116771i
$633$	13.2292	+	10.5499i	0.525813	+	0.419322i
$634$	−9.64501	−	8.11012i	−0.383052	−	0.322094i
$635$	30.8814	−	14.8717i	1.22549	−	0.590166i
$636$	12.1048	+	16.9104i	0.479987	+	0.670540i
$637$	−7.54547	−	20.4652i	−0.298962	−	0.810859i
$638$	24.2939	+	12.4865i	0.961804	+	0.494343i
$639$	2.53996	+	5.27427i	0.100479	+	0.208647i
$640$	14.2697	−	33.1795i	0.564061	−	1.31153i
$641$	−1.62845	+	2.04202i	−0.0643201	+	0.0806548i	−0.812951	−	0.582332i	$-0.802140\pi$
$641$	−1.62845	+	2.04202i	−0.0643201	+	0.0806548i	0.748631	+	0.662987i	$0.230712\pi$
$642$	−5.15693	+	6.13292i	−0.203528	+	0.242047i
$643$	−0.696053	−	3.04961i	−0.0274497	−	0.120265i	0.959347	−	0.282230i	$-0.0910740\pi$
$643$	−0.696053	−	3.04961i	−0.0274497	−	0.120265i	−0.986797	+	0.161965i	$0.948217\pi$
$644$	25.7920	+	25.1559i	1.01635	+	0.991280i
$645$	7.18418	−	31.4760i	0.282877	−	1.23937i
$646$	−29.0481	−	38.4313i	−1.14288	−	1.51206i
$647$	6.76963	+	29.6597i	0.266142	+	1.16604i	0.914461	+	0.404674i	$0.132615\pi$
$647$	6.76963	+	29.6597i	0.266142	+	1.16604i	−0.648319	+	0.761369i	$0.724528\pi$
$648$	−2.34188	+	1.58606i	−0.0919978	+	0.0623063i
$649$	−33.5850	+	26.7831i	−1.31833	+	1.05133i
$650$	−22.8691	−	0.593958i	−0.897000	−	0.0232970i
$651$	−4.16934	+	14.9381i	−0.163409	+	0.585469i
$652$	−14.5555	+	2.53552i	−0.570036	+	0.0992988i
$653$	6.61218	+	28.9698i	0.258754	+	1.13368i	0.922585	+	0.385794i	$0.126072\pi$
$653$	6.61218	+	28.9698i	0.258754	+	1.13368i	−0.663830	+	0.747883i	$0.731070\pi$
$654$	−0.238270	+	0.0479113i	−0.00931711	+	0.00187348i
$655$			0.119656i			0.00467533i
$656$	11.2315	+	3.82530i	0.438516	+	0.149353i
$657$	−5.50632	+	4.39114i	−0.214822	+	0.171315i
$658$	−5.68715	−	14.4460i	−0.221708	−	0.563162i
$659$	12.2952	+	9.80506i	0.478951	+	0.381951i	0.832997	−	0.553277i	$-0.186623\pi$
$659$	12.2952	+	9.80506i	0.478951	+	0.381951i	−0.354046	+	0.935228i	$0.615194\pi$
$660$	−32.4215	−	1.68525i	−1.26200	−	0.0655981i
$661$	−7.79882	+	16.1944i	−0.303339	+	0.629890i	−0.995799	−	0.0915662i	$-0.970813\pi$
$661$	−7.79882	+	16.1944i	−0.303339	+	0.629890i	0.692460	+	0.721456i	$0.256527\pi$
$662$	1.57056	+	2.07789i	0.0610417	+	0.0807594i
$663$	11.2474	−	14.1038i	0.436814	−	0.547747i
$664$	3.64893	−	6.27514i	0.141606	−	0.243523i
$665$	−47.8682	−	13.3604i	−1.85625	−	0.518095i
$666$	2.02276	−	0.406734i	0.0783802	−	0.0157606i
$667$		−	25.8630i		−	1.00142i
$668$	3.35242	+	4.68332i	0.129709	+	0.181203i
$669$	−2.40177	−	3.01172i	−0.0928578	−	0.116440i
$670$	−17.5223	−	4.48100i	−0.676945	−	0.173116i
$671$	17.6221	+	8.48635i	0.680293	+	0.327612i
$672$	13.7734	+	5.85602i	0.531321	+	0.225901i
$673$	−12.1387	+	5.84568i	−0.467912	+	0.225334i	−0.652956	−	0.757396i	$-0.726471\pi$
$673$	−12.1387	+	5.84568i	−0.467912	+	0.225334i	0.185044	+	0.982730i	$0.440757\pi$
$674$	−21.4207	+	4.30725i	−0.825093	+	0.165909i
$675$	4.67730	−	2.25247i	0.180029	−	0.0866976i
$676$	−4.36496	+	4.92556i	−0.167883	+	0.189444i
$677$	10.2165	−	21.2148i	0.392653	−	0.815352i	−0.607132	−	0.794601i	$-0.707680\pi$
$677$	10.2165	−	21.2148i	0.392653	−	0.815352i	0.999785	−	0.0207507i	$-0.00660564\pi$
$678$	−7.87334	−	6.62039i	−0.302374	−	0.254255i
$679$	0.154394	−	3.22875i	0.00592511	−	0.123908i
$680$	−18.9472	−	48.7201i	−0.726592	−	1.86833i
$681$	−2.24759	+	9.84734i	−0.0861279	+	0.377351i
$682$	38.4400	−	17.2970i	1.47194	−	0.662336i
$683$	33.6265	+	7.67502i	1.28668	+	0.293677i	0.810535	−	0.585690i	$-0.199176\pi$
$683$	33.6265	+	7.67502i	1.28668	+	0.293677i	0.476146	+	0.879366i	$0.342033\pi$
$684$	10.3232	+	5.64940i	0.394718	+	0.216010i
$685$			55.6692i			2.12701i
$686$	4.41343	−	25.8171i	0.168505	−	0.985701i
$687$		−	16.3155i		−	0.622474i
$688$	40.1594	−	4.86417i	1.53106	−	0.185445i
$689$	31.5881	+	7.20978i	1.20341	+	0.274671i
$690$	12.6138	+	28.0323i	0.480201	+	1.06717i
$691$	−2.68378	+	11.7584i	−0.102096	+	0.447312i	0.897879	+	0.440242i	$0.145107\pi$
$691$	−2.68378	+	11.7584i	−0.102096	+	0.447312i	−0.999975	+	0.00706948i	$0.997750\pi$
$692$	26.6925	+	23.6545i	1.01470	+	0.899211i
$693$	0.642573	−	13.4377i	0.0244093	−	0.510456i
$694$	−19.0496	+	22.6549i	−0.723114	+	0.859968i
$695$	−8.76093	+	18.1923i	−0.332321	+	0.690072i
$696$	−3.89414	−	10.0132i	−0.147607	−	0.379551i
$697$	15.4721	−	7.45096i	0.586047	−	0.282225i
$698$	8.44224	+	41.9846i	0.319544	+	1.58914i
$699$	−15.8837	+	7.64919i	−0.600777	+	0.289319i
$700$	−23.4405	−	14.3236i	−0.885967	−	0.541381i
$701$	−14.7496	−	7.10305i	−0.557086	−	0.268278i	0.134085	−	0.990970i	$-0.457191\pi$
$701$	−14.7496	−	7.10305i	−0.557086	−	0.268278i	−0.691171	+	0.722691i	$0.742905\pi$
$702$	−1.09179	+	4.26927i	−0.0412068	+	0.161133i
$703$	−5.35223	−	6.71149i	−0.201863	−	0.253129i
$704$	−11.7490	−	38.9445i	−0.442806	−	1.46778i
$705$		−	13.2461i		−	0.498877i
$706$	8.99902	+	44.7536i	0.338683	+	1.68432i
$707$	−4.10377	−	1.14540i	−0.154338	−	0.0430771i
$708$	16.8735	+	0.877071i	0.634144	+	0.0329623i
$709$	0.000700407	0	0.000878283i	2.63044e−5	0	3.29846e-5i	−0.781818	−	0.623506i	$-0.785708\pi$
$709$	0.000700407	0	0.000878283i	2.63044e−5	0	3.29846e-5i	0.781845	+	0.623473i	$0.214279\pi$
$710$	21.0841	−	15.9363i	0.791272	−	0.598080i
$711$	5.78671	−	12.0162i	0.217018	−	0.450643i
$712$	21.5300	+	12.5195i	0.806873	+	0.469188i
$713$	−31.2042	−	24.8845i	−1.16861	−	0.931933i
$714$	20.1560	−	7.93512i	0.754320	−	0.296964i
$715$	−39.5455	+	31.5365i	−1.47892	+	1.17940i
$716$	27.9440	−	20.0029i	1.04432	−	0.747545i
$717$			10.4112i			0.388814i
$718$	8.99283	+	44.7228i	0.335610	+	1.66904i
$719$	1.24131	+	5.43852i	0.0462929	+	0.202822i	0.992786	−	0.119903i	$-0.0382582\pi$
$719$	1.24131	+	5.43852i	0.0462929	+	0.202822i	−0.946493	+	0.322725i	$0.895401\pi$
$720$	9.10441	+	8.95390i	0.339301	+	0.333692i
$721$	−2.43301	+	8.71707i	−0.0906099	+	0.324641i
$722$	0.573571	−	22.0841i	0.0213461	−	0.821886i
$723$	11.3389	−	9.04244i	0.421697	−	0.336292i
$724$	18.8921	−	34.5218i	0.702121	−	1.28299i
$725$	4.38803	+	19.2252i	0.162967	+	0.714007i
$726$	−16.7593	+	12.6674i	−0.621995	+	0.470133i
$727$	4.63728	−	20.3173i	0.171987	−	0.753525i	−0.813192	−	0.581996i	$-0.802272\pi$
$727$	4.63728	−	20.3173i	0.171987	−	0.753525i	0.985179	−	0.171530i	$-0.0548709\pi$
$728$	22.1112	−	7.40399i	0.819494	−	0.274410i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	24.3365	+	20.4636i	0.900733	+	0.757392i
$731$	36.5046	−	45.7754i	1.35017	−	1.69306i
$732$	−2.97365	−	7.09524i	−0.109909	−	0.262248i
$733$	−11.6279	−	24.1456i	−0.429486	−	0.891837i	−0.997623	−	0.0689032i	$-0.978050\pi$
$733$	−11.6279	−	24.1456i	−0.429486	−	0.891837i	0.568137	−	0.822934i	$-0.307664\pi$
$734$	12.5242	−	24.3673i	0.462276	−	0.899413i
$735$	11.5728	−	19.1167i	0.426870	−	0.705131i
$736$	−27.7108	+	26.7505i	−1.02143	+	0.986036i
$737$	−18.3525	+	8.83811i	−0.676024	+	0.325556i
$738$	−2.69977	+	3.21072i	−0.0993798	+	0.118188i
$739$	−1.21999	−	0.972910i	−0.0448781	−	0.0357891i	0.600794	−	0.799404i	$-0.294851\pi$
$739$	−1.21999	−	0.972910i	−0.0448781	−	0.0357891i	−0.645672	+	0.763615i	$0.723423\pi$
$740$	−3.60053	−	8.59100i	−0.132358	−	0.315812i
$741$	17.8747	−	4.07977i	0.656642	−	0.149874i
$742$	28.5482	+	26.4330i	1.04804	+	0.970387i
$743$	−26.0790	−	5.95237i	−0.956746	−	0.218371i	−0.284481	−	0.958682i	$-0.591821\pi$
$743$	−26.0790	−	5.95237i	−0.956746	−	0.218371i	−0.672265	+	0.740311i	$0.734678\pi$
$744$	−15.8280	−	4.93606i	−0.580283	−	0.180965i
$745$	−61.0651	+	13.9377i	−2.23725	+	0.510638i
$746$	0.262864	−	10.1210i	0.00962414	−	0.370557i
$747$	1.60014	+	2.00651i	0.0585459	+	0.0734143i
$748$	−51.6470	−	28.2640i	−1.88840	−	1.03343i
$749$	−7.14194	+	13.1801i	−0.260961	+	0.481592i
$750$	−0.521089	−	0.689412i	−0.0190275	−	0.0251738i
$751$	−39.2493	+	8.95840i	−1.43223	+	0.326896i	−0.867111	−	0.498115i	$-0.834026\pi$
$751$	−39.2493	+	8.95840i	−1.43223	+	0.326896i	−0.565116	+	0.825011i	$0.691169\pi$
$752$	15.6194	−	5.61203i	0.569583	−	0.204650i
$753$	3.26047			0.118818
$754$	−14.8874	−	7.65177i	−0.542168	−	0.278661i
$755$	18.3437	+	23.0022i	0.667594	+	0.837136i
$756$	−3.69465	+	3.78808i	−0.134373	+	0.137771i
$757$	28.5670	−	35.8219i	1.03829	−	1.30197i	0.0861537	−	0.996282i	$-0.472542\pi$
$757$	28.5670	−	35.8219i	1.03829	−	1.30197i	0.952132	−	0.305687i	$-0.0988862\pi$
$758$	12.7697	−	5.74603i	0.463815	−	0.208705i
$759$	31.1923	+	15.0214i	1.13221	+	0.545242i
$760$	15.8173	−	50.7200i	0.573755	−	1.83981i
$761$	−28.4198	−	22.6640i	−1.03022	−	0.821571i	−0.0460727	−	0.998938i	$-0.514671\pi$
$761$	−28.4198	−	22.6640i	−1.03022	−	0.821571i	−0.984145	+	0.177367i	$0.943242\pi$
$762$	−13.8467	+	6.23067i	−0.501614	+	0.225713i
$763$	−0.418613	+	0.177489i	−0.0151548	+	0.00642552i
$764$	−50.2877	−	14.2610i	−1.81935	−	0.515943i
$765$	18.4819			0.668214
$766$	−2.04350	+	3.97587i	−0.0738345	+	0.143654i
$767$	20.5811	−	16.4129i	0.743140	−	0.592634i
$768$	−6.70089	+	14.5292i	−0.241798	+	0.524278i
$769$	7.29516	−	15.1486i	0.263070	−	0.546271i	−0.727035	−	0.686601i	$-0.759102\pi$
$769$	7.29516	−	15.1486i	0.263070	−	0.546271i	0.990105	+	0.140330i	$0.0448163\pi$
$770$	−60.0490	+	9.11550i	−2.16402	+	0.328500i
$771$	10.2732	+	21.3324i	0.369979	+	0.768269i
$772$	7.83178	−	27.6168i	0.281872	−	0.993952i
$773$	−13.8791	−	28.8203i	−0.499197	−	1.03659i	−0.986561	−	0.163395i	$-0.947756\pi$
$773$	−13.8791	−	28.8203i	−0.499197	−	1.03659i	0.487363	−	0.873199i	$-0.337959\pi$
$774$	−3.54350	+	13.8563i	−0.127369	+	0.498056i
$775$	27.4176	+	13.2036i	0.984871	+	0.474289i
$776$	3.44514	+	0.268916i	0.123673	+	0.00965353i
$777$	3.55374	−	1.50676i	0.127490	−	0.0540547i
$778$	−5.03901	−	1.28864i	−0.180657	−	0.0461998i
$779$	17.0158	+	3.88375i	0.609655	+	0.139150i
$780$	19.8681	+	1.03273i	0.711392	+	0.0369776i
$781$	6.62362	−	29.0200i	0.237012	−	1.03842i
$782$	−1.44734	+	55.7267i	−0.0517568	+	1.99278i
$783$	3.79851			0.135748
$784$	27.4450	+	5.54709i	0.980180	+	0.198110i
$785$	33.2097			1.18530
$786$	0.00137623	−	0.0529888i	4.90885e−5	−	0.00189005i
$787$	−6.57988	+	28.8283i	−0.234547	+	1.02762i	0.711270	+	0.702919i	$0.248120\pi$
$787$	−6.57988	+	28.8283i	−0.234547	+	1.02762i	−0.945817	+	0.324700i	$0.894737\pi$
$788$	−42.1363	−	2.19022i	−1.50104	−	0.0780232i
$789$	−9.63597	−	2.19935i	−0.343050	−	0.0782988i
$790$	−58.3357	−	14.9183i	−2.07549	−	0.530768i
$791$	−16.9204	−	9.16871i	−0.601622	−	0.326002i
$792$	14.3383	+	1.11920i	0.509489	+	0.0397691i
$793$	−10.7989	−	5.20048i	−0.383481	−	0.184675i
$794$	4.02454	−	15.7374i	0.142826	−	0.558499i
$795$	14.4028	+	29.9077i	0.510815	+	1.06072i
$796$	−11.0317	+	38.9005i	−0.391008	+	1.37879i
$797$	−7.17265	−	14.8942i	−0.254068	−	0.527578i	0.734453	−	0.678659i	$-0.237439\pi$
$797$	−7.17265	−	14.8942i	−0.254068	−	0.527578i	−0.988521	+	0.151081i	$0.951724\pi$
$798$	21.0445	+	6.46715i	0.744968	+	0.228935i
$799$	10.4225	−	21.6426i	0.368723	−	0.765661i
$800$	16.0602	−	24.5865i	0.567814	−	0.869264i
$801$	−6.88434	+	5.49008i	−0.243246	+	0.193982i
$802$	8.12562	−	15.8094i	0.286925	−	0.558248i
$803$	35.8113			1.26375
$804$	7.70811	+	2.18592i	0.271844	+	0.0770915i
$805$	33.6674	+	46.6232i	1.18662	+	1.64325i
$806$	−23.5562	+	10.5997i	−0.829733	+	0.373359i
$807$	−0.730363	−	0.582445i	−0.0257100	−	0.0205030i
$808$	1.35603	−	4.34825i	0.0477050	−	0.152971i
$809$	0.438270	+	0.211060i	0.0154087	+	0.00742046i	0.441572	−	0.897226i	$-0.354421\pi$
$809$	0.438270	+	0.211060i	0.0154087	+	0.00742046i	−0.426164	+	0.904646i	$0.640135\pi$
$810$	−4.11712	+	1.85260i	−0.144661	+	0.0650937i
$811$	−0.219247	+	0.274927i	−0.00769881	+	0.00965400i	−0.785666	−	0.618651i	$-0.787680\pi$
$811$	−0.219247	+	0.274927i	−0.00769881	+	0.00965400i	0.777967	+	0.628305i	$0.216251\pi$
$812$	−10.9054	−	16.8842i	−0.382704	−	0.592518i
$813$	13.5302	+	16.9663i	0.474523	+	0.595034i
$814$	−9.33081	−	4.79580i	−0.327045	−	0.168093i
$815$	−23.5833			−0.826086
$816$	7.83031	+	21.7934i	0.274116	+	0.762920i
$817$	58.0139	−	13.2413i	2.02965	−	0.463255i
$818$	28.6813	+	37.9460i	1.00282	+	1.32675i
$819$	−0.393773	+	8.23470i	−0.0137595	+	0.287744i
$820$	16.6139	+	9.09199i	0.580182	+	0.317506i
$821$	26.8421	+	33.6590i	0.936797	+	1.17471i	0.984419	+	0.175841i	$0.0562644\pi$
$821$	26.8421	+	33.6590i	0.936797	+	1.17471i	−0.0476218	+	0.998865i	$0.515164\pi$
$822$	0.640285	−	24.6528i	0.0223325	−	0.859866i
$823$	8.20806	−	1.87344i	0.286115	−	0.0653039i	−0.0770547	−	0.997027i	$-0.524552\pi$
$823$	8.20806	−	1.87344i	0.286115	−	0.0653039i	0.363170	+	0.931723i	$0.381694\pi$
$824$	−9.23639	−	2.88043i	−0.321765	−	0.100344i
$825$	−25.7353	−	5.87392i	−0.895990	−	0.204504i
$826$	31.2520	−	4.74408i	1.08740	−	0.165068i
$827$	−35.0438	+	7.99853i	−1.21859	+	0.278136i	−0.783008	−	0.622011i	$-0.786316\pi$
$827$	−35.0438	+	7.99853i	−1.21859	+	0.278136i	−0.435586	+	0.900147i	$0.643459\pi$
$828$	−5.26355	−	12.5590i	−0.182921	−	0.436457i
$829$	26.7221	+	21.3102i	0.928097	+	0.740133i	0.965836	−	0.259155i	$-0.0834441\pi$
$829$	26.7221	+	21.3102i	0.928097	+	0.740133i	−0.0377389	+	0.999288i	$0.512016\pi$
$830$	7.45695	−	8.86823i	0.258835	−	0.307821i
$831$	23.3074	−	11.2242i	0.808523	−	0.389364i
$832$	7.19983	+	23.8654i	0.249609	+	0.827386i
$833$	33.9504	−	22.1286i	1.17631	−	0.766711i
$834$	4.08897	−	7.95558i	0.141589	−	0.275479i
$835$	3.98885	+	8.28294i	0.138040	+	0.286643i
$836$	−23.1289	−	55.1866i	−0.799931	−	1.90867i
$837$	3.65480	−	4.58298i	0.126328	−	0.158411i
$838$	−15.2661	−	12.8367i	−0.527358	−	0.443435i
$839$	−1.30102	−	5.70013i	−0.0449161	−	0.196790i	0.947492	−	0.319780i	$-0.103609\pi$
$839$	−1.30102	−	5.70013i	−0.0449161	−	0.196790i	−0.992408	+	0.122990i	$0.960752\pi$
$840$	20.0548	+	12.9816i	0.691957	+	0.447909i
$841$	3.24243	−	14.2060i	0.111808	−	0.489862i
$842$	25.7180	−	19.4388i	0.886300	−	0.669906i
$843$	−5.96404	−	26.1302i	−0.205413	−	0.899971i
$844$	−16.2462	+	29.6868i	−0.559217	+	1.02186i
$845$	−8.21324	+	6.54984i	−0.282544	+	0.225321i
$846$	−0.152351	+	5.86597i	−0.00523795	+	0.201676i
$847$	−25.9444	+	29.5224i	−0.891460	+	1.01440i
$848$	−29.1643	+	29.6545i	−1.00151	+	1.01834i
$849$	−7.19366	−	31.5175i	−0.246886	−	1.08168i
$850$	−8.37897	−	41.6700i	−0.287396	−	1.42927i
$851$			9.93347i			0.340515i
$852$	−9.52027	+	6.81482i	−0.326159	+	0.233472i
$853$	7.74406	−	6.17568i	0.265152	−	0.211451i	−0.481885	−	0.876235i	$-0.660048\pi$
$853$	7.74406	−	6.17568i	0.265152	−	0.211451i	0.747036	+	0.664783i	$0.231476\pi$
$854$	−8.12015	−	11.8832i	−0.277866	−	0.406635i
$855$	14.6859	+	11.7116i	0.502247	+	0.400529i
$856$	−13.8539	−	8.05588i	−0.473515	−	0.275344i
$857$	9.70538	−	20.1534i	0.331529	−	0.688428i	−0.666859	−	0.745184i	$-0.732362\pi$
$857$	9.70538	−	20.1534i	0.331529	−	0.688428i	0.998388	+	0.0567564i	$0.0180758\pi$
$858$	17.8752	−	13.5109i	0.610250	−	0.461255i
$859$	−3.97386	+	4.98306i	−0.135586	+	0.170020i	−0.844989	−	0.534783i	$-0.820393\pi$
$859$	−3.97386	+	4.98306i	−0.135586	+	0.170020i	0.709403	+	0.704803i	$0.248965\pi$
$860$	64.4838	+	3.35182i	2.19888	+	0.114296i
$861$	−3.73896	+	6.90009i	−0.127423	+	0.235154i
$862$	−2.22881	−	11.0842i	−0.0759134	−	0.377530i
$863$			50.6675i			1.72474i	0.506277	+	0.862371i	$0.331021\pi$
$863$			50.6675i			1.72474i	−0.506277	+	0.862371i	$0.668979\pi$
$864$	−3.92886	−	4.06990i	−0.133662	−	0.138461i
$865$	35.4948	+	44.5091i	1.20686	+	1.51335i
$866$	1.52660	−	5.96954i	0.0518760	−	0.202853i
$867$	14.8809	+	7.16624i	0.505380	+	0.243378i
$868$	−30.8639	−	3.08783i	−1.04759	−	0.104808i
$869$	−61.0998	+	29.4241i	−2.07267	+	0.998144i
$870$	−3.38069	−	16.8127i	−0.114616	−	0.570005i
$871$	11.2465	−	5.41605i	0.381074	−	0.183516i
$872$	−0.176182	−	0.453027i	−0.00596626	−	0.0153414i
$873$	−0.530096	+	1.10075i	−0.0179410	+	0.0372549i
$874$	−36.4630	+	43.3639i	−1.23338	+	1.46680i
$875$	−1.21444	−	1.06725i	−0.0410554	−	0.0360797i
$876$	−10.5419	−	9.34210i	−0.356178	−	0.315640i
$877$	−3.39521	+	14.8754i	−0.114648	+	0.502306i	0.884698	+	0.466164i	$0.154364\pi$
$877$	−3.39521	+	14.8754i	−0.114648	+	0.502306i	−0.999347	+	0.0361427i	$0.988493\pi$
$878$	10.6518	+	23.6720i	0.359481	+	0.798891i
$879$	28.5366	+	6.51330i	0.962517	+	0.219688i
$880$	−7.80743	−	64.4594i	−0.263188	−	2.17293i
$881$		−	32.9779i		−	1.11105i	−0.831498	−	0.555527i	$-0.812516\pi$
$881$		−	32.9779i		−	1.11105i	0.831498	−	0.555527i	$-0.187484\pi$
$882$	−5.34483	+	8.33263i	−0.179970	+	0.280574i
$883$			0.657457i			0.0221252i	0.999939	+	0.0110626i	$0.00352141\pi$
$883$			0.657457i			0.0221252i	−0.999939	+	0.0110626i	$0.996479\pi$
$884$	31.6496	+	17.3203i	1.06449	+	0.582546i
$885$	26.2936	+	6.00135i	0.883850	+	0.201733i
$886$	22.0750	−	9.93320i	0.741625	−	0.333712i
$887$	8.79527	−	38.5346i	0.295316	−	1.29386i	−0.581700	−	0.813404i	$-0.697612\pi$
$887$	8.79527	−	38.5346i	0.295316	−	1.29386i	0.877016	−	0.480461i	$-0.159531\pi$
$888$	1.49566	+	3.84589i	0.0501912	+	0.129060i
$889$	−23.0298	+	16.6302i	−0.772394	+	0.557759i
$890$	30.4270	+	25.5849i	1.01991	+	0.857606i
$891$	−2.20620	+	4.58122i	−0.0739105	+	0.153477i
$892$	5.10974	−	5.76598i	0.171087	−	0.193059i
$893$	21.9964	−	10.5929i	0.736081	−	0.354478i
$894$	27.2027	−	5.46990i	0.909793	−	0.182941i
$895$	49.4219	−	23.8003i	1.65199	−	0.795557i
$896$	−6.81088	+	29.1481i	−0.227536	+	0.973770i
$897$	−19.1148	−	9.20521i	−0.638225	−	0.307353i
$898$	8.82633	+	2.25717i	0.294538	+	0.0753227i
$899$	13.8828	+	17.4085i	0.463017	+	0.580605i
$900$	6.04348	+	8.44272i	0.201449	+	0.281424i
$901$			60.1985i			2.00550i
$902$	20.9117	−	4.20491i	0.696283	−	0.140008i
$903$	−1.27803	+	26.7265i	−0.0425301	+	0.889403i
$904$	10.3420	−	17.7854i	0.343970	−	0.591533i
$905$	39.1648	−	49.1111i	1.30188	−	1.63251i
$906$	−7.85882	−	10.3974i	−0.261092	−	0.345430i
$907$	−16.8453	+	34.9797i	−0.559340	+	1.16148i	0.409159	+	0.912463i	$0.365822\pi$
$907$	−16.8453	+	34.9797i	−0.559340	+	1.16148i	−0.968499	+	0.249018i	$0.919892\pi$
$908$	−20.1739	−	1.04863i	−0.669495	−	0.0347999i
$909$	1.25903	+	1.00404i	0.0417595	+	0.0333021i
$910$	36.7984	−	5.58604i	1.21985	−	0.185175i
$911$	8.55071	−	6.81896i	0.283298	−	0.225922i	−0.471523	−	0.881854i	$-0.656295\pi$
$911$	8.55071	−	6.81896i	0.283298	−	0.225922i	0.754820	+	0.655932i	$0.227724\pi$
$912$	−7.58798	+	22.2791i	−0.251263	+	0.737736i
$913$		−	13.0497i		−	0.431881i
$914$	−3.93880	+	0.792011i	−0.130284	+	0.0261974i
$915$	−2.73252	−	11.9720i	−0.0903344	−	0.395781i
$916$	32.1469	−	5.59990i	1.06216	−	0.185026i
$917$	−0.0174236	−	0.0976238i	−0.000575377	−	0.00322382i
$918$	−8.18461	−	0.212571i	−0.270132	−	0.00701590i
$919$	−8.75279	+	6.98012i	−0.288728	+	0.230253i	−0.757133	−	0.653261i	$-0.773400\pi$
$919$	−8.75279	+	6.98012i	−0.288728	+	0.230253i	0.468405	+	0.883514i	$0.344829\pi$
$920$	−50.9035	+	34.4748i	−1.67824	+	1.13660i
$921$	−5.98360	−	26.2159i	−0.197166	−	0.863842i
$922$	21.4493	+	28.3779i	0.706397	+	0.934577i
$923$	−4.05899	+	17.7836i	−0.133603	+	0.585355i
$924$	26.6972	−	3.34609i	0.878274	−	0.110078i
$925$	−1.68536	−	7.38403i	−0.0554142	−	0.242786i
$926$	16.9773	−	20.1904i	0.557908	−	0.663496i
$927$	2.13275	−	2.67439i	0.0700488	−	0.0878384i
$928$	18.3928	−	11.1095i	0.603773	−	0.364689i
$929$	4.69198	+	9.74299i	0.153939	+	0.319657i	0.963648	−	0.267174i	$-0.0860897\pi$
$929$	4.69198	+	9.74299i	0.153939	+	0.319657i	−0.809710	+	0.586831i	$0.800375\pi$
$930$	−23.5377	−	12.0978i	−0.771832	−	0.396702i
$931$	40.9999	+	3.93011i	1.34372	+	0.128804i
$932$	−20.5231	−	28.6707i	−0.672257	−	0.939140i
$933$	−11.4708	+	5.52406i	−0.375538	+	0.180850i
$934$	6.17269	+	5.19038i	0.201977	+	0.169834i
$935$	−73.4736	−	58.5932i	−2.40284	−	1.91620i
$936$	−8.78660	−	0.685853i	−0.287199	−	0.0224178i
$937$	−45.9572	+	10.4894i	−1.50136	+	0.342675i	−0.892661	−	0.450729i	$-0.851164\pi$
$937$	−45.9572	+	10.4894i	−1.50136	+	0.342675i	−0.608695	+	0.793404i	$0.708307\pi$
$938$	14.9485	+	1.10443i	0.488084	+	0.0360609i
$939$	−11.4941	−	2.62345i	−0.375096	−	0.0856132i
$940$	26.0992	−	4.54641i	0.851261	−	0.148288i
$941$	53.7706	−	12.2728i	1.75287	−	0.400081i	0.778971	−	0.627060i	$-0.215742\pi$
$941$	53.7706	−	12.2728i	1.75287	−	0.400081i	0.973900	+	0.226978i	$0.0728846\pi$
$942$	−14.7067	−	0.381965i	−0.479171	−	0.0124451i
$943$	−12.5923	−	15.7902i	−0.410061	−	0.514201i
$944$	4.06331	+	33.5473i	0.132249	+	1.09187i
$945$	−6.84758	+	4.94475i	−0.222752	+	0.160853i
$946$	58.0158	−	43.8510i	1.88626	−	1.42572i
$947$	−42.5193	+	9.70475i	−1.38169	+	0.315362i	−0.847856	−	0.530227i	$-0.822107\pi$
$947$	−42.5193	+	9.70475i	−1.38169	+	0.315362i	−0.533835	+	0.845589i	$0.679250\pi$
$948$	25.6621	+	7.27743i	0.833465	+	0.236360i
$949$	−21.9454			−0.712377
$950$	19.7474	−	38.4210i	0.640691	−	1.24654i
$951$	5.55571	+	6.96665i	0.180156	+	0.225909i
$952$	22.5529	+	36.9904i	0.730943	+	1.19887i
$953$	−30.0026	+	37.6220i	−0.971879	+	1.21870i	0.00391206	+	0.999992i	$0.498755\pi$
$953$	−30.0026	+	37.6220i	−0.971879	+	1.21870i	−0.975791	+	0.218705i	$0.929817\pi$
$954$	−6.03422	−	13.4101i	−0.195365	−	0.434169i
$955$	−75.1720	−	36.2009i	−2.43251	−	1.17143i
$956$	−20.5135	+	3.57340i	−0.663454	+	0.115572i
$957$	−15.1007	−	12.0424i	−0.488137	−	0.389276i
$958$	−7.04197	−	15.6497i	−0.227516	−	0.505619i
$959$	−8.10624	−	45.4190i	−0.261764	−	1.46666i
$960$	−14.5173	+	21.0119i	−0.468542	+	0.678156i
$961$	3.36127			0.108428
$962$	5.71797	+	2.93890i	0.184355	+	0.0947538i
$963$	4.42984	−	3.53268i	0.142750	−	0.113839i
$964$	21.7084	+	19.2377i	0.699180	+	0.619604i
$965$	19.8807	−	41.2827i	0.639982	−	1.32894i
$966$	−14.3732	−	21.0341i	−0.462450	−	0.676760i
$967$	−10.6502	−	22.1154i	−0.342487	−	0.711182i	0.656585	−	0.754252i	$-0.272000\pi$
$967$	−10.6502	−	22.1154i	−0.342487	−	0.711182i	−0.999072	+	0.0430702i	$0.986286\pi$
$968$	−30.7113	−	28.6735i	−0.987097	−	0.921601i
$969$	14.7800	+	30.6909i	0.474801	+	0.985934i
$970$	5.34388	+	1.36660i	0.171582	+	0.0438789i
$971$	−31.4813	−	15.1606i	−1.01028	−	0.486526i	−0.145866	−	0.989304i	$-0.546597\pi$
$971$	−31.4813	−	15.1606i	−1.01028	−	0.486526i	−0.864415	+	0.502778i	$0.832311\pi$
$972$	1.84455	−	0.773060i	0.0591641	−	0.0247959i
$973$	4.49875	−	16.1183i	0.144223	−	0.516729i
$974$	6.98315	−	27.3066i	0.223755	−	0.874959i
$975$	15.7708	+	3.59958i	0.505069	+	0.115279i
$976$	12.9593	−	8.29433i	0.414818	−	0.265495i
$977$	1.95887	−	8.58238i	0.0626699	−	0.274575i	−0.933878	−	0.357591i	$-0.883598\pi$
$977$	1.95887	−	8.58238i	0.0626699	−	0.274575i	0.996548	+	0.0830162i	$0.0264553\pi$
$978$	10.4437	+	0.271246i	0.333954	+	0.00867348i
$979$	44.7735			1.43097
$980$	41.6383	+	16.2409i	1.33009	+	0.518796i
$981$	0.171855			0.00548691
$982$	12.7997	+	0.332436i	0.408456	+	0.0106085i
$983$	1.21662	−	5.33035i	0.0388041	−	0.170012i	−0.951813	−	0.306679i	$-0.900782\pi$
$983$	1.21662	−	5.33035i	0.0388041	−	0.170012i	0.990617	+	0.136668i	$0.0436392\pi$
$984$	−7.25280	−	4.21743i	−0.231211	−	0.134447i
$985$	−65.6602	−	14.9865i	−2.09211	−	0.477510i
$986$	7.70523	−	30.1302i	0.245385	−	0.959540i
$987$	1.92882	+	10.8071i	0.0613952	+	0.343995i
$988$	14.1735	+	33.8187i	0.450921	+	1.07591i
$989$	−62.0390	−	29.8764i	−1.97272	−	0.950014i
$990$	22.2407	+	5.68764i	0.706855	+	0.180765i
$991$	25.3625	+	52.6657i	0.805666	+	1.67298i	0.737538	+	0.675305i	$0.235988\pi$
$991$	25.3625	+	52.6657i	0.805666	+	1.67298i	0.0681273	+	0.997677i	$0.478298\pi$
$992$	4.29307	−	32.8805i	0.136305	−	1.04396i
$993$	−0.799117	−	1.65938i	−0.0253592	−	0.0526590i
$994$	−14.8814	+	16.0722i	−0.472009	+	0.509779i
$995$	−28.0035	+	58.1499i	−0.887772	+	1.84348i
$996$	−3.40427	+	3.84148i	−0.107868	+	0.121722i
$997$	38.0819	−	30.3693i	1.20607	−	0.961806i	0.206206	−	0.978509i	$-0.433888\pi$
$997$	38.0819	−	30.3693i	1.20607	−	0.961806i	0.999860	+	0.0167028i	$0.00531692\pi$
$998$	11.0375	+	5.67300i	0.349386	+	0.179576i
$999$	−1.45893			−0.0461586

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.223.15	✓	168
4.3	odd	2		588.2.x.b.223.24	yes	168
49.20	odd	14		588.2.x.b.559.24	yes	168
196.167	even	14	inner	588.2.x.a.559.15	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.223.15	✓	168	1.1	even	1	trivial
588.2.x.a.559.15	yes	168	196.167	even	14	inner
588.2.x.b.223.24	yes	168	4.3	odd	2
588.2.x.b.559.24	yes	168	49.20	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)

\(f(q)\)	\(=\)	\(q+(0.0367177 - 1.41374i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.99730 - 0.103818i) q^{4} +(-3.11236 - 0.710376i) q^{5} +(1.37012 + 0.350383i) q^{6} +(2.64273 + 0.126372i) q^{7} +(-0.220108 + 2.81985i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(0.0367177 - 1.41374i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(-1.99730 - 0.103818i) q^{4} +(-3.11236 - 0.710376i) q^{5} +(1.37012 + 0.350383i) q^{6} +(2.64273 + 0.126372i) q^{7} +(-0.220108 + 2.81985i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-1.11856 + 4.37397i) q^{10} +(2.20620 + 4.58122i) q^{11} +(0.545657 - 1.92413i) q^{12} +(-1.35197 - 2.80740i) q^{13} +(0.275692 - 3.73149i) q^{14} +(1.38513 - 2.87625i) q^{15} +(3.97844 + 0.414714i) q^{16} +(4.52629 - 3.60960i) q^{17} +(-0.646479 + 1.25780i) q^{18} +5.88397 q^{19} +(6.14258 + 1.74196i) q^{20} +(-0.711267 + 2.54835i) q^{21} +(6.55765 - 2.95078i) q^{22} +(-5.32327 - 4.24517i) q^{23} +(-2.70017 - 0.842065i) q^{24} +(4.67730 + 2.25247i) q^{25} +(-4.01857 + 1.80825i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-5.26522 - 0.526767i) q^{28} +(2.36833 + 2.96979i) q^{29} +(-4.01541 - 2.06382i) q^{30} +5.86185 q^{31} +(0.732375 - 5.60924i) q^{32} +(-4.95729 + 1.13147i) q^{33} +(-4.93682 - 6.53152i) q^{34} +(-8.13536 - 2.27065i) q^{35} +(1.75446 + 0.960135i) q^{36} +(-0.909630 - 1.14064i) q^{37} +(0.216046 - 8.31838i) q^{38} +(3.03786 - 0.693371i) q^{39} +(2.68821 - 8.62003i) q^{40} +(2.89189 + 0.660056i) q^{41} +(3.57658 + 1.09911i) q^{42} +(9.85966 - 2.25040i) q^{43} +(-3.93084 - 9.37914i) q^{44} +(2.49592 + 1.99043i) q^{45} +(-6.19701 + 7.36983i) q^{46} +(3.73836 - 1.80030i) q^{47} +(-1.28960 + 3.78641i) q^{48} +(6.96806 + 0.667934i) q^{49} +(3.35614 - 6.52977i) q^{50} +(2.51190 + 5.21602i) q^{51} +(2.40884 + 5.74759i) q^{52} +(-6.48315 + 8.12961i) q^{53} +(-1.08241 - 0.910158i) q^{54} +(-3.61210 - 15.8256i) q^{55} +(-0.938037 + 7.42429i) q^{56} +(-1.30931 + 5.73645i) q^{57} +(4.28547 - 3.23915i) q^{58} +(1.87989 + 8.23632i) q^{59} +(-3.06513 + 5.60095i) q^{60} +(3.00738 - 2.39831i) q^{61} +(0.215234 - 8.28711i) q^{62} +(-2.32619 - 1.26050i) q^{63} +(-7.90310 - 1.24134i) q^{64} +(2.21352 + 9.69805i) q^{65} +(1.41758 + 7.04985i) q^{66} +4.00603i q^{67} +(-9.41512 + 6.73955i) q^{68} +(5.32327 - 4.24517i) q^{69} +(-3.50881 + 11.4179i) q^{70} +(-4.57684 - 3.64991i) q^{71} +(1.42180 - 2.44510i) q^{72} +(3.05578 - 6.34538i) q^{73} +(-1.64596 + 1.24410i) q^{74} +(-3.23679 + 4.05881i) q^{75} +(-11.7521 - 0.610864i) q^{76} +(5.25146 + 12.3857i) q^{77} +(-0.868701 - 4.32019i) q^{78} +13.3370i q^{79} +(-12.0877 - 4.11693i) q^{80} +(0.623490 + 0.781831i) q^{81} +(1.03933 - 4.06414i) q^{82} +(-2.31226 - 1.11353i) q^{83} +(1.68518 - 5.01599i) q^{84} +(-16.6516 + 8.01899i) q^{85} +(-2.81945 - 14.0216i) q^{86} +(-3.42234 + 1.64811i) q^{87} +(-13.4040 + 5.21279i) q^{88} +(3.82052 - 7.93339i) q^{89} +(2.90559 - 3.45549i) q^{90} +(-3.21812 - 7.59006i) q^{91} +(10.1915 + 9.03154i) q^{92} +(-1.30438 + 5.71488i) q^{93} +(-2.40788 - 5.35116i) q^{94} +(-18.3130 - 4.17983i) q^{95} +(5.30564 + 1.96219i) q^{96} -1.22175i q^{97} +(1.20013 - 9.82648i) q^{98} -5.08477i 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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