LMFDB - Embedded newform 66.2.h.b.35.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [66,2,Mod(17,66)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(66, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 9]))

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

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

chi := DirichletCharacter("66.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 66 = 2 \cdot 3 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	66.h (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.527012653340$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{10})$
Coefficient field:	8.0.185640625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + x^{6} + x^{5} + 4x^{4} + 3x^{3} + 9x^{2} - 81x + 81 $ x^8 - 3x^7 + x^6 + x^5 + 4x^4 + 3x^3 + 9x^2 - 81*x + 81
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			35.2
Root			$-0.245684 + 1.71454i$ of defining polynomial
Character	$\chi$	$=$	66.35
Dual form			66.2.h.b.17.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 + 0.951057i) q^{2} +(0.809017 + 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.897526 + 0.291624i) q^{5} +(-1.70654 + 0.296161i) q^{6} +(0.897526 - 1.23534i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 + 2.47802i) q^{9} +O(q^{10})$	\(q+(-0.309017 + 0.951057i) q^{2} +(0.809017 + 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.897526 + 0.291624i) q^{5} +(-1.70654 + 0.296161i) q^{6} +(0.897526 - 1.23534i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 + 2.47802i) q^{9} -0.943715i q^{10} +(0.151841 - 3.31315i) q^{11} +(0.245684 - 1.71454i) q^{12} +(4.03112 + 1.30979i) q^{13} +(0.897526 + 1.23534i) q^{14} +(-1.17274 - 1.13863i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.906157 - 2.78886i) q^{17} +(-1.83419 - 2.37397i) q^{18} +(-4.16740 - 5.73594i) q^{19} +(0.897526 + 0.291624i) q^{20} +(2.61803 + 0.375151i) q^{21} +(3.10407 + 1.16823i) q^{22} +1.18465i q^{23} +(1.55470 + 0.763481i) q^{24} +(-3.32458 + 2.41545i) q^{25} +(-2.49137 + 3.42908i) q^{26} +(-5.16312 - 0.584981i) q^{27} +(-1.45223 + 0.471857i) q^{28} +(5.17274 + 3.75821i) q^{29} +(1.44530 - 0.763481i) q^{30} +(-2.68830 + 8.27372i) q^{31} -1.00000 q^{32} +(5.19693 - 2.44785i) q^{33} +2.93239 q^{34} +(-0.445299 + 1.37049i) q^{35} +(2.82458 - 1.01082i) q^{36} +(-2.28642 - 1.66118i) q^{37} +(6.74300 - 2.19093i) q^{38} +(1.25530 + 7.23330i) q^{39} +(-0.554701 + 0.763481i) q^{40} +(-5.92001 + 4.30114i) q^{41} +(-1.16581 + 2.37397i) q^{42} -5.34587i q^{43} +(-2.07026 + 2.59114i) q^{44} +(0.795052 - 2.71722i) q^{45} +(-1.12667 - 0.366076i) q^{46} +(-5.58154 - 7.68233i) q^{47} +(-1.20654 + 1.24268i) q^{48} +(1.44261 + 4.43990i) q^{49} +(-1.26988 - 3.90827i) q^{50} +(3.53805 - 3.64402i) q^{51} +(-2.49137 - 3.42908i) q^{52} +(4.62924 + 1.50413i) q^{53} +(2.15184 - 4.72965i) q^{54} +(0.829911 + 3.01792i) q^{55} -1.52696i q^{56} +(5.41309 - 11.0228i) q^{57} +(-5.17274 + 3.75821i) q^{58} +(2.74201 - 3.77405i) q^{59} +(0.279492 + 1.61049i) q^{60} +(-0.685649 + 0.222781i) q^{61} +(-7.03805 - 5.11344i) q^{62} +(1.54349 + 4.31302i) q^{63} +(0.309017 - 0.951057i) q^{64} -4.00000 q^{65} +(0.722103 + 5.69900i) q^{66} +3.89379 q^{67} +(-0.906157 + 2.78886i) q^{68} +(-1.81428 + 0.958399i) q^{69} +(-1.16581 - 0.847008i) q^{70} +(9.47214 - 3.07768i) q^{71} +(0.0885088 + 2.99869i) q^{72} +(1.03051 - 1.41838i) q^{73} +(2.28642 - 1.66118i) q^{74} +(-6.38889 - 3.13745i) q^{75} +7.09001i q^{76} +(-3.95658 - 3.16121i) q^{77} +(-7.26719 - 1.04135i) q^{78} +(-1.56591 - 0.508796i) q^{79} +(-0.554701 - 0.763481i) q^{80} +(-3.28115 - 8.38057i) q^{81} +(-2.26124 - 6.95939i) q^{82} +(1.90347 + 5.85828i) q^{83} +(-1.89753 - 1.84235i) q^{84} +(1.62660 + 2.23882i) q^{85} +(5.08423 + 1.65197i) q^{86} +(-1.57087 + 10.9625i) q^{87} +(-1.82458 - 2.76964i) q^{88} +17.3406i q^{89} +(2.33854 + 1.59581i) q^{90} +(5.23607 - 3.80423i) q^{91} +(0.696317 - 0.958399i) q^{92} +(-14.8461 + 2.57646i) q^{93} +(9.03112 - 2.93439i) q^{94} +(5.41309 + 3.93284i) q^{95} +(-0.809017 - 1.53150i) q^{96} +(3.54074 - 10.8973i) q^{97} -4.66839 q^{98} +(7.95328 + 5.97874i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9} - q^{11} - 3 q^{12} + 9 q^{15} - 2 q^{16} - 10 q^{17} - 7 q^{18} - 15 q^{19} + 12 q^{21} + 6 q^{22} + 3 q^{24} - 6 q^{25} - 10 q^{26} - 10 q^{27} + 5 q^{28} + 23 q^{29} + 21 q^{30} + 13 q^{31} - 8 q^{32} + 17 q^{33} + 10 q^{34} - 13 q^{35} + 2 q^{36} + 6 q^{37} + 10 q^{38} + 18 q^{39} + 5 q^{40} + 2 q^{41} - 17 q^{42} + 9 q^{44} - 8 q^{45} - 10 q^{46} + 10 q^{47} + 2 q^{48} - 18 q^{49} + q^{50} - 30 q^{51} - 10 q^{52} + 15 q^{53} + 15 q^{54} - 14 q^{55} + 20 q^{57} - 23 q^{58} - 25 q^{59} + 4 q^{60} - 10 q^{61} + 2 q^{62} + 16 q^{63} - 2 q^{64} - 32 q^{65} - 22 q^{66} - 2 q^{67} - 10 q^{68} - 26 q^{69} - 17 q^{70} + 40 q^{71} - 2 q^{72} + 5 q^{73} - 6 q^{74} - 34 q^{75} - 12 q^{77} - 8 q^{78} + 10 q^{79} + 5 q^{80} + 14 q^{81} + 3 q^{82} - 21 q^{83} - 8 q^{84} + 30 q^{85} + 25 q^{86} + 42 q^{87} + 6 q^{88} + 8 q^{90} + 24 q^{91} + 10 q^{92} - 53 q^{93} + 40 q^{94} + 20 q^{95} - 2 q^{96} + 9 q^{97} - 22 q^{98} + 34 q^{99}+O(q^{100}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9 - q^11 - 3 * q^12 + 9 * q^15 - 2 * q^16 - 10 * q^17 - 7 * q^18 - 15 * q^19 + 12 * q^21 + 6 * q^22 + 3 * q^24 - 6 * q^25 - 10 * q^26 - 10 * q^27 + 5 * q^28 + 23 * q^29 + 21 * q^30 + 13 * q^31 - 8 * q^32 + 17 * q^33 + 10 * q^34 - 13 * q^35 + 2 * q^36 + 6 * q^37 + 10 * q^38 + 18 * q^39 + 5 * q^40 + 2 * q^41 - 17 * q^42 + 9 * q^44 - 8 * q^45 - 10 * q^46 + 10 * q^47 + 2 * q^48 - 18 * q^49 + q^50 - 30 * q^51 - 10 * q^52 + 15 * q^53 + 15 * q^54 - 14 * q^55 + 20 * q^57 - 23 * q^58 - 25 * q^59 + 4 * q^60 - 10 * q^61 + 2 * q^62 + 16 * q^63 - 2 * q^64 - 32 * q^65 - 22 * q^66 - 2 * q^67 - 10 * q^68 - 26 * q^69 - 17 * q^70 + 40 * q^71 - 2 * q^72 + 5 * q^73 - 6 * q^74 - 34 * q^75 - 12 * q^77 - 8 * q^78 + 10 * q^79 + 5 * q^80 + 14 * q^81 + 3 * q^82 - 21 * q^83 - 8 * q^84 + 30 * q^85 + 25 * q^86 + 42 * q^87 + 6 * q^88 + 8 * q^90 + 24 * q^91 + 10 * q^92 - 53 * q^93 + 40 * q^94 + 20 * q^95 - 2 * q^96 + 9 * q^97 - 22 * q^98 + 34 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/66\mathbb{Z}\right)^\times$.

$n$	$13$	$23$
$\chi(n)$	$e\left(\frac{1}{10}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$2$	−0.309017	+	0.951057i	−0.218508	+	0.672499i
$3$	0.809017	+	1.53150i	0.467086	+	0.884212i
$3$	0.809017	+	1.53150i	0.467086	+	0.884212i
$4$	−0.809017	−	0.587785i	−0.404508	−	0.293893i
$5$	−0.897526	+	0.291624i	−0.401386	+	0.130418i	−0.502751	−	0.864431i	$-0.667679\pi$
$5$	−0.897526	+	0.291624i	−0.401386	+	0.130418i	0.101366	+	0.994849i	$0.467679\pi$
$6$	−1.70654	+	0.296161i	−0.696693	+	0.120907i
$7$	0.897526	−	1.23534i	0.339233	−	0.466914i	−0.604984	−	0.796237i	$-0.706821\pi$
$7$	0.897526	−	1.23534i	0.339233	−	0.466914i	0.944217	+	0.329323i	$0.106821\pi$
$8$	0.809017	−	0.587785i	0.286031	−	0.207813i
$9$	−1.69098	+	2.47802i	−0.563661	+	0.826006i
$10$		−	0.943715i		−	0.298429i
$11$	0.151841	−	3.31315i	0.0457819	−	0.998951i
$11$	0.151841	−	3.31315i	0.0457819	−	0.998951i
$12$	0.245684	−	1.71454i	0.0709230	−	0.494944i
$13$	4.03112	+	1.30979i	1.11803	+	0.363270i	0.809016	−	0.587787i	$-0.200001\pi$
$13$	4.03112	+	1.30979i	1.11803	+	0.363270i	0.309015	+	0.951057i	$0.400001\pi$
$14$	0.897526	+	1.23534i	0.239874	+	0.330158i
$15$	−1.17274	−	1.13863i	−0.302799	−	0.293994i
$16$	0.309017	+	0.951057i	0.0772542	+	0.237764i
$17$	−0.906157	−	2.78886i	−0.219775	−	0.676399i	−0.998780	−	0.0493808i	$-0.984275\pi$
$17$	−0.906157	−	2.78886i	−0.219775	−	0.676399i	0.779005	−	0.627018i	$-0.215725\pi$
$18$	−1.83419	−	2.37397i	−0.432324	−	0.559550i
$19$	−4.16740	−	5.73594i	−0.956067	−	1.31591i	−0.948779	−	0.315940i	$-0.897680\pi$
$19$	−4.16740	−	5.73594i	−0.956067	−	1.31591i	−0.00728837	−	0.999973i	$-0.502320\pi$
$20$	0.897526	+	0.291624i	0.200693	+	0.0652091i
$21$	2.61803	+	0.375151i	0.571302	+	0.0818646i
$22$	3.10407	+	1.16823i	0.661790	+	0.249067i
$23$			1.18465i			0.247016i	0.992344	+	0.123508i	$0.0394144\pi$
$23$			1.18465i			0.247016i	−0.992344	+	0.123508i	$0.960586\pi$
$24$	1.55470	+	0.763481i	0.317352	+	0.155845i
$25$	−3.32458	+	2.41545i	−0.664915	+	0.483089i
$26$	−2.49137	+	3.42908i	−0.488598	+	0.672497i
$27$	−5.16312	−	0.584981i	−0.993643	−	0.112580i
$28$	−1.45223	+	0.471857i	−0.274445	+	0.0891726i
$29$	5.17274	+	3.75821i	0.960553	+	0.697883i	0.953279	−	0.302091i	$-0.0976847\pi$
$29$	5.17274	+	3.75821i	0.960553	+	0.697883i	0.00727378	+	0.999974i	$0.497685\pi$
$30$	1.44530	−	0.763481i	0.263874	−	0.139392i
$31$	−2.68830	+	8.27372i	−0.482832	+	1.48600i	0.352264	+	0.935901i	$0.385412\pi$
$31$	−2.68830	+	8.27372i	−0.482832	+	1.48600i	−0.835096	+	0.550104i	$0.814588\pi$
$32$	−1.00000			−0.176777
$33$	5.19693	−	2.44785i	0.904669	−	0.426116i
$34$	2.93239			0.502900
$35$	−0.445299	+	1.37049i	−0.0752692	+	0.231655i
$36$	2.82458	−	1.01082i	0.470763	−	0.168471i
$37$	−2.28642	−	1.66118i	−0.375885	−	0.273097i	0.383762	−	0.923432i	$-0.374628\pi$
$37$	−2.28642	−	1.66118i	−0.375885	−	0.273097i	−0.759647	+	0.650335i	$0.774628\pi$
$38$	6.74300	−	2.19093i	1.09386	−	0.355416i
$39$	1.25530	+	7.23330i	0.201009	+	1.15826i
$40$	−0.554701	+	0.763481i	−0.0877060	+	0.120717i
$41$	−5.92001	+	4.30114i	−0.924551	+	0.671726i	−0.944653	−	0.328072i	$-0.893601\pi$
$41$	−5.92001	+	4.30114i	−0.924551	+	0.671726i	0.0201017	+	0.999798i	$0.493601\pi$
$42$	−1.16581	+	2.37397i	−0.179888	+	0.366312i
$43$		−	5.34587i		−	0.815238i	−0.913152	−	0.407619i	$-0.866359\pi$
$43$		−	5.34587i		−	0.815238i	0.913152	−	0.407619i	$-0.133641\pi$
$44$	−2.07026	+	2.59114i	−0.312104	+	0.390629i
$45$	0.795052	−	2.71722i	0.118519	−	0.405059i
$46$	−1.12667	−	0.366076i	−0.166118	−	0.0539749i
$47$	−5.58154	−	7.68233i	−0.814151	−	1.12058i	−0.990670	−	0.136286i	$-0.956484\pi$
$47$	−5.58154	−	7.68233i	−0.814151	−	1.12058i	0.176518	−	0.984297i	$-0.443516\pi$
$48$	−1.20654	+	1.24268i	−0.174149	+	0.179365i
$49$	1.44261	+	4.43990i	0.206087	+	0.634271i
$50$	−1.26988	−	3.90827i	−0.179587	−	0.552713i
$51$	3.53805	−	3.64402i	0.495426	−	0.510265i
$52$	−2.49137	−	3.42908i	−0.345491	−	0.475527i
$53$	4.62924	+	1.50413i	0.635876	+	0.206609i	0.609176	−	0.793035i	$-0.291500\pi$
$53$	4.62924	+	1.50413i	0.635876	+	0.206609i	0.0266996	+	0.999644i	$0.491500\pi$
$54$	2.15184	−	4.72965i	0.292829	−	0.643624i
$55$	0.829911	+	3.01792i	0.111905	+	0.406936i
$56$		−	1.52696i		−	0.204049i
$57$	5.41309	−	11.0228i	0.716981	−	1.46001i
$58$	−5.17274	+	3.75821i	−0.679213	+	0.493477i
$59$	2.74201	−	3.77405i	0.356979	−	0.491340i	−0.592325	−	0.805699i	$-0.701790\pi$
$59$	2.74201	−	3.77405i	0.356979	−	0.491340i	0.949304	+	0.314359i	$0.101790\pi$
$60$	0.279492	+	1.61049i	0.0360822	+	0.207913i
$61$	−0.685649	+	0.222781i	−0.0877883	+	0.0285242i	−0.352582	−	0.935781i	$-0.614696\pi$
$61$	−0.685649	+	0.222781i	−0.0877883	+	0.0285242i	0.264794	+	0.964305i	$0.414696\pi$
$62$	−7.03805	−	5.11344i	−0.893833	−	0.649408i
$63$	1.54349	+	4.31302i	0.194462	+	0.543390i
$64$	0.309017	−	0.951057i	0.0386271	−	0.118882i
$65$	−4.00000			−0.496139
$66$	0.722103	+	5.69900i	0.0888847	+	0.701498i
$67$	3.89379			0.475702			0.237851	−	0.971302i	$-0.423557\pi$
$67$	3.89379			0.475702			0.237851	+	0.971302i	$0.423557\pi$
$68$	−0.906157	+	2.78886i	−0.109888	+	0.338199i
$69$	−1.81428	+	0.958399i	−0.218414	+	0.115378i
$70$	−1.16581	−	0.847008i	−0.139341	−	0.101237i
$71$	9.47214	−	3.07768i	1.12414	−	0.365254i	0.312791	−	0.949822i	$-0.398736\pi$
$71$	9.47214	−	3.07768i	1.12414	−	0.365254i	0.811345	+	0.584568i	$0.198736\pi$
$72$	0.0885088	+	2.99869i	0.0104309	+	0.353399i
$73$	1.03051	−	1.41838i	0.120612	−	0.166008i	−0.744442	−	0.667688i	$-0.767284\pi$
$73$	1.03051	−	1.41838i	0.120612	−	0.166008i	0.865054	+	0.501679i	$0.167284\pi$
$74$	2.28642	−	1.66118i	0.265791	−	0.193108i
$75$	−6.38889	−	3.13745i	−0.737726	−	0.362282i
$76$			7.09001i			0.813280i
$77$	−3.95658	−	3.16121i	−0.450894	−	0.360253i
$78$	−7.26719	−	1.04135i	−0.822847	−	0.117910i
$79$	−1.56591	−	0.508796i	−0.176179	−	0.0572440i	0.219599	−	0.975590i	$-0.429525\pi$
$79$	−1.56591	−	0.508796i	−0.176179	−	0.0572440i	−0.395778	+	0.918346i	$0.629525\pi$
$80$	−0.554701	−	0.763481i	−0.0620175	−	0.0853598i
$81$	−3.28115	−	8.38057i	−0.364573	−	0.931175i
$82$	−2.26124	−	6.95939i	−0.249713	−	0.768537i
$83$	1.90347	+	5.85828i	0.208933	+	0.643029i	0.999529	+	0.0306912i	$0.00977085\pi$
$83$	1.90347	+	5.85828i	0.208933	+	0.643029i	−0.790596	+	0.612338i	$0.790229\pi$
$84$	−1.89753	−	1.84235i	−0.207037	−	0.201016i
$85$	1.62660	+	2.23882i	0.176429	+	0.242834i
$86$	5.08423	+	1.65197i	0.548246	+	0.178136i
$87$	−1.57087	+	10.9625i	−0.168415	+	1.17530i
$88$	−1.82458	−	2.76964i	−0.194501	−	0.295245i
$89$			17.3406i			1.83811i	0.394135	+	0.919053i	$0.371044\pi$
$89$			17.3406i			1.83811i	−0.394135	+	0.919053i	$0.628956\pi$
$90$	2.33854	+	1.59581i	0.246504	+	0.168213i
$91$	5.23607	−	3.80423i	0.548889	−	0.398791i
$92$	0.696317	−	0.958399i	0.0725961	−	0.0999200i
$93$	−14.8461	+	2.57646i	−1.53947	+	0.267166i
$94$	9.03112	−	2.93439i	0.931489	−	0.302659i
$95$	5.41309	+	3.93284i	0.555371	+	0.403501i
$96$	−0.809017	−	1.53150i	−0.0825700	−	0.156308i
$97$	3.54074	−	10.8973i	0.359507	−	1.10645i	−0.593842	−	0.804581i	$-0.702390\pi$
$97$	3.54074	−	10.8973i	0.359507	−	1.10645i	0.953350	−	0.301868i	$-0.0976103\pi$
$98$	−4.66839			−0.471578
$99$	7.95328	+	5.97874i	0.799335	+	0.600886i
$100$	4.10940			0.410940
$101$	−1.44795	+	4.45632i	−0.144076	+	0.443420i	−0.996891	−	0.0787929i	$-0.974893\pi$
$101$	−1.44795	+	4.45632i	−0.144076	+	0.443420i	0.852815	+	0.522213i	$0.174893\pi$
$102$	2.37235	+	4.49095i	0.234898	+	0.444670i
$103$	10.2430	+	7.44197i	1.00927	+	0.733279i	0.964056	−	0.265698i	$-0.0856024\pi$
$103$	10.2430	+	7.44197i	1.00927	+	0.733279i	0.0452161	+	0.998977i	$0.485602\pi$
$104$	4.03112	−	1.30979i	0.395284	−	0.128435i
$105$	−2.45916	+	0.426773i	−0.239989	+	0.0416488i
$106$	−2.86103	+	3.93787i	−0.277888	+	0.382480i
$107$	0.581472	−	0.422464i	0.0562130	−	0.0408412i	−0.559324	−	0.828949i	$-0.688939\pi$
$107$	0.581472	−	0.422464i	0.0562130	−	0.0408412i	0.615537	+	0.788108i	$0.288939\pi$
$108$	3.83321	+	3.50806i	0.368851	+	0.337564i
$109$		−	9.20929i		−	0.882090i	−0.897485	−	0.441045i	$-0.854608\pi$
$109$		−	9.20929i		−	0.882090i	0.897485	−	0.441045i	$-0.145392\pi$
$110$	−3.12667	−	0.143295i	−0.298116	−	0.0136626i
$111$	0.694346	−	4.84558i	0.0659044	−	0.459922i
$112$	1.45223	+	0.471857i	0.137223	+	0.0445863i
$113$	2.88295	+	3.96804i	0.271205	+	0.373282i	0.922796	−	0.385289i	$-0.125898\pi$
$113$	2.88295	+	3.96804i	0.271205	+	0.373282i	−0.651591	+	0.758571i	$0.725898\pi$
$114$	8.81061	+	8.55440i	0.825189	+	0.801193i
$115$	−0.345471	−	1.06325i	−0.0322153	−	0.0991486i
$116$	−1.97581	−	6.08092i	−0.183449	−	0.564599i
$117$	−10.0622	+	7.77436i	−0.930254	+	0.718740i
$118$	2.74201	+	3.77405i	0.252423	+	0.347430i
$119$	−4.25849	−	1.38367i	−0.390375	−	0.126841i
$120$	−1.61803	−	0.231856i	−0.147706	−	0.0211655i
$121$	−10.9539	−	1.00615i	−0.995808	−	0.0914678i
$122$		−	0.720934i		−	0.0652703i
$123$	−11.3766	−	5.58680i	−1.02579	−	0.503745i
$124$	7.03805	−	5.11344i	0.632035	−	0.459201i
$125$	5.05300	−	6.95486i	0.451954	−	0.622061i
$126$	−4.57889	+	0.135150i	−0.407920	+	0.0120401i
$127$	−5.02793	+	1.63367i	−0.446157	+	0.144965i	−0.523474	−	0.852041i	$-0.675364\pi$
$127$	−5.02793	+	1.63367i	−0.446157	+	0.144965i	0.0773177	+	0.997007i	$0.475364\pi$
$128$	0.809017	+	0.587785i	0.0715077	+	0.0519534i
$129$	8.18720	−	4.32490i	0.720843	−	0.380786i
$130$	1.23607	−	3.80423i	0.108410	−	0.333653i
$131$	−10.6492			−0.930421			−0.465210	−	0.885200i	$-0.654021\pi$
$131$	−10.6492			−0.930421			−0.465210	+	0.885200i	$0.654021\pi$
$132$	−5.64321	−	1.07433i	−0.491178	−	0.0935081i
$133$	−10.8262			−0.938748
$134$	−1.20325	+	3.70321i	−0.103945	+	0.319909i
$135$	4.80463	−	0.980653i	0.413516	−	0.0844012i
$136$	−2.37235	−	1.72361i	−0.203427	−	0.147799i
$137$	−0.566898	+	0.184196i	−0.0484334	+	0.0157370i	−0.333133	−	0.942880i	$-0.608106\pi$
$137$	−0.566898	+	0.184196i	−0.0484334	+	0.0157370i	0.284700	+	0.958617i	$0.408106\pi$
$138$	−0.350846	−	2.02165i	−0.0298660	−	0.172094i
$139$	−3.01923	+	4.15562i	−0.256088	+	0.352475i	−0.917632	−	0.397432i	$-0.869902\pi$
$139$	−3.01923	+	4.15562i	−0.256088	+	0.352475i	0.661544	+	0.749907i	$0.269902\pi$
$140$	1.16581	−	0.847008i	0.0985286	−	0.0715853i
$141$	7.24993	−	14.7633i	0.610554	−	1.24329i
$142$			9.95959i			0.835790i
$143$	4.95162	−	13.1568i	0.414075	−	1.10023i
$144$	−2.87928	−	0.842471i	−0.239940	−	0.0702059i
$145$	−5.73865	−	1.86460i	−0.476569	−	0.154847i
$146$	1.03051	+	1.41838i	0.0852857	+	0.117386i
$147$	−5.63261	+	5.80131i	−0.464570	+	0.478484i
$148$	0.873335	+	2.68785i	0.0717877	+	0.220940i
$149$	−5.36735	−	16.5190i	−0.439710	−	1.35329i	−0.888182	−	0.459492i	$-0.848031\pi$
$149$	−5.36735	−	16.5190i	−0.439710	−	1.35329i	0.448471	−	0.893797i	$-0.351969\pi$
$150$	4.95817	−	5.10667i	0.404833	−	0.416958i
$151$	8.88291	+	12.2263i	0.722881	+	0.994960i	0.999423	+	0.0339586i	$0.0108114\pi$
$151$	8.88291	+	12.2263i	0.722881	+	0.994960i	−0.276542	+	0.961002i	$0.589189\pi$
$152$	−6.74300	−	2.19093i	−0.546929	−	0.177708i
$153$	8.44315	+	2.47045i	0.682588	+	0.199724i
$154$	4.22914	−	2.78606i	0.340794	−	0.224507i
$155$		−	8.20985i		−	0.659431i
$156$	3.23607	−	6.58971i	0.259093	−	0.527599i
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	−0.461601	−	0.887087i	$-0.652725\pi$
$157$	3.00000	−	2.17963i	0.239426	−	0.173953i	0.701028	+	0.713134i	$0.252725\pi$
$158$	0.967787	−	1.33204i	0.0769930	−	0.105972i
$159$	1.44156	+	8.30656i	0.114323	+	0.658753i
$160$	0.897526	−	0.291624i	0.0709556	−	0.0230549i
$161$	1.46344	+	1.06325i	0.115335	+	0.0837959i
$162$	8.98433	−	0.530822i	0.705876	−	0.0417053i
$163$	3.32991	−	10.2484i	0.260819	−	0.802718i	−0.731808	−	0.681510i	$-0.761323\pi$
$163$	3.32991	−	10.2484i	0.260819	−	0.802718i	0.992627	−	0.121207i	$-0.0386766\pi$
$164$	7.31754			0.571404
$165$	−3.95053	+	3.71255i	−0.307548	+	0.289022i
$166$	−6.15976			−0.478090
$167$	−4.10940	+	12.6474i	−0.317995	+	0.978688i	0.656509	+	0.754318i	$0.272032\pi$
$167$	−4.10940	+	12.6474i	−0.317995	+	0.978688i	−0.974504	+	0.224370i	$0.927968\pi$
$168$	2.33854	−	1.23534i	0.180422	−	0.0953084i
$169$	4.01715	+	2.91863i	0.309012	+	0.224510i
$170$	−2.63189	+	0.855153i	−0.201857	+	0.0655873i
$171$	21.2608	−	0.627528i	1.62585	−	0.0479883i
$172$	−3.14222	+	4.32490i	−0.239592	+	0.329771i
$173$	−5.75163	+	4.17880i	−0.437288	+	0.317708i	−0.784556	−	0.620057i	$-0.787109\pi$
$173$	−5.75163	+	4.17880i	−0.437288	+	0.317708i	0.347268	+	0.937766i	$0.387109\pi$
$174$	−9.94053	−	4.88159i	−0.753590	−	0.370072i
$175$			6.27490i			0.474338i
$176$	3.19791	−	0.879409i	0.241052	−	0.0662880i
$177$	7.99830	+	1.14612i	0.601189	+	0.0861473i
$178$	−16.4919	−	5.35856i	−1.23612	−	0.401641i
$179$	−2.47537	−	3.40705i	−0.185018	−	0.254655i	0.706426	−	0.707787i	$-0.250306\pi$
$179$	−2.47537	−	3.40705i	−0.185018	−	0.254655i	−0.891443	+	0.453132i	$0.850306\pi$
$180$	−2.24035	+	1.73095i	−0.166986	+	0.129018i
$181$	2.67906	+	8.24528i	0.199133	+	0.612867i	0.999903	+	0.0138963i	$0.00442347\pi$
$181$	2.67906	+	8.24528i	0.199133	+	0.612867i	−0.800771	+	0.598971i	$0.795577\pi$
$182$	2.00000	+	6.15537i	0.148250	+	0.456266i
$183$	−0.895890	−	0.869837i	−0.0662261	−	0.0643002i
$184$	0.696317	+	0.958399i	0.0513332	+	0.0706541i
$185$	2.53656	+	0.824179i	0.186492	+	0.0605948i
$186$	2.13733	−	14.9156i	0.156717	−	1.09367i
$187$	−9.37751	+	2.57877i	−0.685751	+	0.188578i
$188$			9.49588i			0.692558i
$189$	−5.35668	+	5.85316i	−0.389641	+	0.425755i
$190$	−5.41309	+	3.93284i	−0.392707	+	0.285318i
$191$	−7.90445	+	10.8795i	−0.571946	+	0.787216i	−0.992784	−	0.119920i	$-0.961736\pi$
$191$	−7.90445	+	10.8795i	−0.571946	+	0.787216i	0.420837	+	0.907136i	$0.361736\pi$
$192$	1.70654	−	0.296161i	0.123159	−	0.0213736i
$193$	6.65520	−	2.16241i	0.479052	−	0.155653i	−0.0595300	−	0.998227i	$-0.518960\pi$
$193$	6.65520	−	2.16241i	0.479052	−	0.155653i	0.538582	+	0.842573i	$0.318960\pi$
$194$	9.26977	+	6.73488i	0.665531	+	0.483536i
$195$	−3.23607	−	6.12600i	−0.231740	−	0.438692i
$196$	1.44261	−	4.43990i	0.103044	−	0.317136i
$197$	22.8937			1.63111			0.815554	−	0.578680i	$-0.196432\pi$
$197$	22.8937			1.63111			0.815554	+	0.578680i	$0.196432\pi$
$198$	−8.14382	+	5.71649i	−0.578756	+	0.406253i
$199$	−20.8937			−1.48112			−0.740558	−	0.671993i	$-0.765439\pi$
$199$	−20.8937			−1.48112			−0.740558	+	0.671993i	$0.765439\pi$
$200$	−1.26988	+	3.90827i	−0.0897937	+	0.276357i
$201$	3.15014	+	5.96333i	0.222194	+	0.420621i
$202$	−3.79077	−	2.75416i	−0.266718	−	0.193782i
$203$	9.28533	−	3.01699i	0.651702	−	0.211751i
$204$	−5.00424	+	0.868459i	−0.350367	+	0.0608043i
$205$	4.05905	−	5.58680i	0.283496	−	0.390199i
$206$	−10.2430	+	7.44197i	−0.713663	+	0.518507i
$207$	−2.93557	−	2.00322i	−0.204037	−	0.139233i
$208$			4.23857i			0.293892i
$209$	−19.6368	+	12.9363i	−1.35830	+	0.894820i
$210$	0.354035	−	2.47068i	0.0244308	−	0.170493i
$211$	3.77185	+	1.22555i	0.259665	+	0.0843701i	0.435956	−	0.899968i	$-0.356410\pi$
$211$	3.77185	+	1.22555i	0.259665	+	0.0843701i	−0.176292	+	0.984338i	$0.556410\pi$
$212$	−2.86103	−	3.93787i	−0.196496	−	0.270454i
$213$	12.3766	+	12.0167i	0.848030	+	0.823369i
$214$	0.222103	+	0.683562i	0.0151826	+	0.0467273i
$215$	1.55898	+	4.79806i	0.106322	+	0.327225i
$216$	−4.52089	+	2.56155i	−0.307608	+	0.174291i
$217$	7.80803	+	10.7468i	0.530044	+	0.729543i
$218$	8.75856	+	2.84583i	0.593204	+	0.192744i
$219$	3.00594	+	0.430736i	0.203123	+	0.0291065i
$220$	1.10247	−	2.92935i	0.0743288	−	0.197497i
$221$		−	12.4291i		−	0.836073i
$222$	4.39385	+	2.15773i	0.294896	+	0.144817i
$223$	7.58582	−	5.51142i	0.507984	−	0.369072i	−0.304074	−	0.952648i	$-0.598347\pi$
$223$	7.58582	−	5.51142i	0.507984	−	0.369072i	0.812058	+	0.583576i	$0.198347\pi$
$224$	−0.897526	+	1.23534i	−0.0599685	+	0.0825395i
$225$	−0.363718	−	12.3228i	−0.0242479	−	0.821523i
$226$	−4.66471	+	1.51566i	−0.310292	+	0.100820i
$227$	−1.46877	−	1.06713i	−0.0974859	−	0.0708276i	0.537975	−	0.842961i	$-0.319190\pi$
$227$	−1.46877	−	1.06713i	−0.0974859	−	0.0708276i	−0.635460	+	0.772133i	$0.719190\pi$
$228$	−10.8583	+	5.73594i	−0.719111	+	0.379872i
$229$	−5.74470	+	17.6804i	−0.379620	+	1.16835i	0.560688	+	0.828027i	$0.310537\pi$
$229$	−5.74470	+	17.6804i	−0.379620	+	1.16835i	−0.940308	+	0.340324i	$0.889463\pi$
$230$	1.11797			0.0737166
$231$	1.64046	−	8.61697i	0.107934	−	0.566955i
$232$	6.39385			0.419777
$233$	5.58748	−	17.1965i	0.366048	−	1.12658i	−0.583274	−	0.812275i	$-0.698229\pi$
$233$	5.58748	−	17.1965i	0.366048	−	1.12658i	0.949322	−	0.314305i	$-0.101771\pi$
$234$	−4.28445	−	11.9722i	−0.280083	−	0.782645i
$235$	7.24993	+	5.26738i	0.472933	+	0.343606i
$236$	−4.43667	+	1.44156i	−0.288802	+	0.0938376i
$237$	−0.487629	−	2.80982i	−0.0316749	−	0.182517i
$238$	2.63189	−	3.62249i	0.170600	−	0.234811i
$239$	16.1716	−	11.7494i	1.04606	−	0.760005i	0.0745980	−	0.997214i	$-0.476233\pi$
$239$	16.1716	−	11.7494i	1.04606	−	0.760005i	0.971459	+	0.237209i	$0.0762327\pi$
$240$	0.720508	−	1.46719i	0.0465086	−	0.0947070i
$241$		−	1.79512i		−	0.115634i	−0.998327	−	0.0578169i	$-0.981586\pi$
$241$		−	1.79512i		−	0.115634i	0.998327	−	0.0578169i	$-0.0184140\pi$
$242$	4.34184	−	10.1069i	0.279104	−	0.649693i
$243$	10.1803	−	11.8051i	0.653069	−	0.757298i
$244$	0.685649	+	0.222781i	0.0438942	+	0.0142621i
$245$	−2.58956	−	3.56422i	−0.165441	−	0.227710i
$246$	8.82893	−	9.09336i	0.562912	−	0.579772i
$247$	−9.28642	−	28.5807i	−0.590881	−	1.81854i
$248$	2.68830	+	8.27372i	0.170707	+	0.525382i
$249$	−7.43201	+	7.65461i	−0.470984	+	0.485091i
$250$	5.05300	+	6.95486i	0.319580	+	0.439864i
$251$	−12.0779	−	3.92434i	−0.762348	−	0.247702i	−0.0980620	−	0.995180i	$-0.531264\pi$
$251$	−12.0779	−	3.92434i	−0.762348	−	0.247702i	−0.664286	+	0.747478i	$0.731264\pi$
$252$	1.28642	−	4.39655i	0.0810369	−	0.276957i
$253$	3.92491	+	0.179878i	0.246757	+	0.0113088i
$254$		−	5.28668i		−	0.331716i
$255$	−2.11281	+	4.30238i	−0.132309	+	0.269425i
$256$	−0.809017	+	0.587785i	−0.0505636	+	0.0367366i
$257$	−3.11429	+	4.28646i	−0.194264	+	0.267382i	−0.895026	−	0.446013i	$-0.852843\pi$
$257$	−3.11429	+	4.28646i	−0.194264	+	0.267382i	0.700762	+	0.713395i	$0.252843\pi$
$258$	1.58324	+	9.12296i	0.0985683	+	0.567971i
$259$	−4.10424	+	1.33355i	−0.255025	+	0.0828627i
$260$	3.23607	+	2.35114i	0.200692	+	0.145812i
$261$	−18.0599	+	6.46306i	−1.11788	+	0.400053i
$262$	3.29077	−	10.1279i	0.203304	−	0.625707i
$263$	−9.51711			−0.586850			−0.293425	−	0.955982i	$-0.594795\pi$
$263$	−9.51711			−0.586850			−0.293425	+	0.955982i	$0.594795\pi$
$264$	2.76559	−	5.03503i	0.170210	−	0.309884i
$265$	−4.59351			−0.282177
$266$	3.34547	−	10.2963i	0.205124	−	0.631307i
$267$	−26.5572	+	14.0289i	−1.62527	+	0.858553i
$268$	−3.15014	−	2.28871i	−0.192425	−	0.139805i
$269$	0.0695856	−	0.0226097i	0.00424271	−	0.00137854i	−0.306895	−	0.951743i	$-0.599290\pi$
$269$	0.0695856	−	0.0226097i	0.00424271	−	0.00137854i	0.311138	+	0.950365i	$0.399290\pi$
$270$	−0.552055	+	4.87251i	−0.0335970	+	0.296532i
$271$	0.00659354	−	0.00907523i	0.000400529	−	0.000551281i	−0.808817	−	0.588061i	$-0.799892\pi$
$271$	0.00659354	−	0.00907523i	0.000400529	−	0.000551281i	0.809217	+	0.587510i	$0.199892\pi$
$272$	2.37235	−	1.72361i	0.143845	−	0.104509i
$273$	10.0622	+	4.94135i	0.608994	+	0.299064i
$274$		−	0.596072i		−	0.0360100i
$275$	7.49792	+	11.3816i	0.452142	+	0.686335i
$276$	2.03112	+	0.291049i	0.122259	+	0.0175191i
$277$	13.2028	+	4.28984i	0.793277	+	0.257751i	0.677499	−	0.735524i	$-0.263064\pi$
$277$	13.2028	+	4.28984i	0.793277	+	0.257751i	0.115778	+	0.993275i	$0.463064\pi$
$278$	−3.01923	−	4.15562i	−0.181082	−	0.249237i
$279$	−15.9566	−	20.6524i	−0.955295	−	1.23643i
$280$	0.445299	+	1.37049i	0.0266117	+	0.0819023i
$281$	−5.25058	−	16.1596i	−0.313223	−	0.964002i	−0.976480	−	0.215609i	$-0.930826\pi$
$281$	−5.25058	−	16.1596i	−0.313223	−	0.964002i	0.663257	−	0.748392i	$-0.269174\pi$
$282$	11.8003	+	11.4572i	0.702700	+	0.682266i
$283$	−13.6158	−	18.7406i	−0.809378	−	1.11401i	−0.991419	−	0.130722i	$-0.958270\pi$
$283$	−13.6158	−	18.7406i	−0.809378	−	1.11401i	0.182041	−	0.983291i	$-0.441730\pi$
$284$	−9.47214	−	3.07768i	−0.562068	−	0.182627i
$285$	−1.64386	+	11.4719i	−0.0973739	+	0.679535i
$286$	10.9827	+	8.77495i	0.649423	+	0.518874i
$287$			11.1736i			0.659557i
$288$	1.69098	−	2.47802i	0.0996421	−	0.146019i
$289$	6.79665	−	4.93805i	0.399803	−	0.290474i
$290$	3.54668	−	4.88159i	0.208268	−	0.286657i
$291$	19.5537	−	3.39344i	1.14626	−	0.198927i
$292$	−1.66740	+	0.541771i	−0.0975773	+	0.0317048i
$293$	−18.9457	−	13.7649i	−1.10682	−	0.804151i	−0.124659	−	0.992200i	$-0.539784\pi$
$293$	−18.9457	−	13.7649i	−1.10682	−	0.804151i	−0.982160	+	0.188048i	$0.939784\pi$
$294$	−3.77680	−	7.14963i	−0.220268	−	0.416975i
$295$	−1.36042	+	4.18695i	−0.0792068	+	0.243774i
$296$	−2.82617			−0.164268
$297$	−2.72210	+	17.0173i	−0.157952	+	0.987447i
$298$	17.3691			1.00617
$299$	−1.55164	+	4.77545i	−0.0897335	+	0.276171i
$300$	3.32458	+	6.29355i	0.191945	+	0.363358i
$301$	−6.60396	−	4.79806i	−0.380646	−	0.276555i
$302$	−14.3729	+	4.67002i	−0.827065	+	0.268730i
$303$	−7.99626	+	1.38771i	−0.459373	+	0.0797218i
$304$	4.16740	−	5.73594i	0.239017	−	0.328978i
$305$	0.550419	−	0.399903i	0.0315169	−	0.0228984i
$306$	−4.95861	+	7.26651i	−0.283465	+	0.415398i
$307$		−	4.98612i		−	0.284573i	−0.989826	−	0.142286i	$-0.954555\pi$
$307$		−	4.98612i		−	0.284573i	0.989826	−	0.142286i	$-0.0454454\pi$
$308$	1.34282	+	4.88309i	0.0765145	+	0.278240i
$309$	−3.11062	+	21.7078i	−0.176957	+	1.23492i
$310$	7.80803	+	2.53698i	0.443466	+	0.144091i
$311$	8.22002	+	11.3139i	0.466115	+	0.641552i	0.975763	−	0.218831i	$-0.0702244\pi$
$311$	8.22002	+	11.3139i	0.466115	+	0.641552i	−0.509648	+	0.860383i	$0.670224\pi$
$312$	5.26719	+	5.11402i	0.298196	+	0.289524i
$313$	4.84018	+	14.8965i	0.273583	+	0.842002i	0.989591	+	0.143910i	$0.0459675\pi$
$313$	4.84018	+	14.8965i	0.273583	+	0.842002i	−0.716008	+	0.698092i	$0.754033\pi$
$314$	1.14590	+	3.52671i	0.0646668	+	0.199024i
$315$	−2.64310	−	3.42093i	−0.148922	−	0.192748i
$316$	0.967787	+	1.33204i	0.0544423	+	0.0749334i
$317$	30.4366	+	9.88946i	1.70949	+	0.555448i	0.990249	−	0.139310i	$-0.0444886\pi$
$317$	30.4366	+	9.88946i	1.70949	+	0.555448i	0.719243	+	0.694758i	$0.244489\pi$
$318$	−8.34547	−	1.19586i	−0.467991	−	0.0670607i
$319$	13.2369	−	16.5674i	0.741127	−	0.927595i
$320$			0.943715i			0.0527552i
$321$	1.11742	+	0.548744i	0.0623686	+	0.0306279i
$322$	−1.46344	+	1.06325i	−0.0815542	+	0.0592526i
$323$	−12.2204	+	16.8200i	−0.679963	+	0.935888i
$324$	−2.27147	+	8.70864i	−0.126193	+	0.483813i
$325$	−16.5655	+	5.38246i	−0.918888	+	0.298565i
$326$	8.71782	+	6.33387i	0.482835	+	0.350800i
$327$	14.1040	−	7.45047i	0.779955	−	0.412012i
$328$	−2.26124	+	6.95939i	−0.124856	+	0.384268i
$329$	−14.4999			−0.799403
$330$	−2.31007	−	4.90441i	−0.127165	−	0.269979i
$331$	5.76590			0.316923			0.158461	−	0.987365i	$-0.449347\pi$
$331$	5.76590			0.316923			0.158461	+	0.987365i	$0.449347\pi$
$332$	1.90347	−	5.85828i	0.104466	−	0.321515i
$333$	7.98274	−	2.85676i	0.437451	−	0.156550i
$334$	−10.7586	−	7.81655i	−0.588682	−	0.427703i
$335$	−3.49477	+	1.13552i	−0.190940	+	0.0620401i
$336$	0.452227	+	2.60583i	0.0246710	+	0.142159i
$337$	18.5288	−	25.5028i	1.00933	−	1.38922i	0.0899083	−	0.995950i	$-0.471343\pi$
$337$	18.5288	−	25.5028i	1.00933	−	1.38922i	0.919422	−	0.393273i	$-0.128657\pi$
$338$	−4.01715	+	2.91863i	−0.218504	+	0.158753i
$339$	−3.74470	+	7.62545i	−0.203384	+	0.414158i
$340$		−	2.76733i		−	0.150080i
$341$	27.0039	+	10.1630i	1.46234	+	0.550358i
$342$	−5.97312	+	20.4141i	−0.322989	+	1.10387i
$343$	16.9451	+	5.50581i	0.914952	+	0.297286i
$344$	−3.14222	−	4.32490i	−0.169417	−	0.233183i
$345$	1.34888	−	1.38928i	0.0726210	−	0.0747961i
$346$	−2.19693	−	6.76144i	−0.118107	−	0.363497i
$347$	9.33453	+	28.7287i	0.501104	+	1.54224i	0.807224	+	0.590246i	$0.200969\pi$
$347$	9.33453	+	28.7287i	0.501104	+	1.54224i	−0.306120	+	0.951993i	$0.599031\pi$
$348$	7.71446	−	7.94551i	0.413538	−	0.425924i
$349$	−5.67246	−	7.80747i	−0.303640	−	0.417924i	0.629745	−	0.776802i	$-0.283160\pi$
$349$	−5.67246	−	7.80747i	−0.303640	−	0.417924i	−0.933385	+	0.358878i	$0.883160\pi$
$350$	−5.96779	−	1.93905i	−0.318992	−	0.103647i
$351$	−20.0469	−	9.12073i	−1.07003	−	0.486829i
$352$	−0.151841	+	3.31315i	−0.00809317	+	0.176591i
$353$		−	13.7385i		−	0.731224i	−0.930767	−	0.365612i	$-0.880860\pi$
$353$		−	13.7385i		−	0.731224i	0.930767	−	0.365612i	$-0.119140\pi$
$354$	−3.56163	+	7.25266i	−0.189299	+	0.385475i
$355$	−7.60396	+	5.52460i	−0.403576	+	0.293215i
$356$	10.1926	−	14.0289i	0.540206	−	0.743529i
$357$	−1.32610	−	7.64129i	−0.0701849	−	0.404420i
$358$	4.00523	−	1.30138i	0.211683	−	0.0687799i
$359$	−23.6610	−	17.1908i	−1.24878	−	0.907293i	−0.250631	−	0.968083i	$-0.580638\pi$
$359$	−23.6610	−	17.1908i	−1.24878	−	0.907293i	−0.998151	+	0.0607894i	$0.980638\pi$
$360$	−0.953930	−	2.66559i	−0.0502765	−	0.140489i
$361$	−9.66240	+	29.7378i	−0.508547	+	1.56515i
$362$	−8.66960			−0.455664
$363$	−7.32097	−	17.5899i	−0.384251	−	0.923229i
$364$	−6.47214			−0.339232
$365$	−0.511278	+	1.57355i	−0.0267615	+	0.0823634i
$366$	1.10411	−	0.583248i	0.0577127	−	0.0304868i
$367$	−9.12557	−	6.63012i	−0.476351	−	0.346089i	0.323560	−	0.946208i	$-0.395120\pi$
$367$	−9.12557	−	6.63012i	−0.476351	−	0.346089i	−0.799911	+	0.600118i	$0.795120\pi$
$368$	−1.12667	+	0.366076i	−0.0587315	+	0.0190830i
$369$	−0.647667	−	21.9431i	−0.0337162	−	1.14231i
$370$	−1.56768	+	2.15773i	−0.0814999	+	0.112175i
$371$	6.01298	−	4.36869i	0.312178	−	0.226811i
$372$	13.5251	+	6.64191i	0.701246	+	0.344367i
$373$		−	5.73545i		−	0.296971i	−0.988915	−	0.148485i	$-0.952560\pi$
$373$		−	5.73545i		−	0.296971i	0.988915	−	0.148485i	$-0.0474398\pi$
$374$	0.445257	−	9.71542i	0.0230237	−	0.502373i
$375$	14.7393	+	2.11207i	0.761135	+	0.109067i
$376$	−9.03112	−	2.93439i	−0.465744	−	0.151330i
$377$	15.9294	+	21.9250i	0.820408	+	1.12920i
$378$	−3.91138	−	6.90323i	−0.201180	−	0.355064i
$379$	8.34075	+	25.6702i	0.428435	+	1.31859i	0.899666	+	0.436578i	$0.143810\pi$
$379$	8.34075	+	25.6702i	0.428435	+	1.31859i	−0.471231	+	0.882010i	$0.656190\pi$
$380$	−2.06761	−	6.36346i	−0.106066	−	0.326439i
$381$	−6.56965	−	6.37860i	−0.336573	−	0.326786i
$382$	−7.90445	−	10.8795i	−0.404427	−	0.556646i
$383$	−0.600988	−	0.195273i	−0.0307090	−	0.00997797i	0.293622	−	0.955922i	$-0.405139\pi$
$383$	−0.600988	−	0.195273i	−0.0307090	−	0.00997797i	−0.324331	+	0.945944i	$0.605139\pi$
$384$	−0.245684	+	1.71454i	−0.0125375	+	0.0874946i
$385$	4.47301	+	1.68344i	0.227966	+	0.0857959i
$386$			6.99770i			0.356173i
$387$	13.2472	+	9.03978i	0.673392	+	0.459518i
$388$	−9.26977	+	6.73488i	−0.470601	+	0.341912i
$389$	15.7180	−	21.6340i	0.796934	−	1.09688i	−0.196276	−	0.980549i	$-0.562885\pi$
$389$	15.7180	−	21.6340i	0.796934	−	1.09688i	0.993210	−	0.116336i	$-0.0371150\pi$
$390$	6.82617	−	1.18465i	0.345657	−	0.0599869i
$391$	3.30382	−	1.07347i	0.167081	−	0.0542880i
$392$	3.77680	+	2.74401i	0.190757	+	0.138593i
$393$	−8.61535	−	16.3092i	−0.434587	−	0.822689i
$394$	−7.07454	+	21.7732i	−0.356410	+	1.09692i
$395$	1.55382			0.0781814
$396$	−2.92012	−	9.51172i	−0.146742	−	0.477982i
$397$	36.0170			1.80764			0.903820	−	0.427913i	$-0.140751\pi$
$397$	36.0170			1.80764			0.903820	+	0.427913i	$0.140751\pi$
$398$	6.45651	−	19.8711i	0.323636	−	0.996048i
$399$	−8.75856	−	16.5803i	−0.438476	−	0.830052i
$400$	−3.32458	−	2.41545i	−0.166229	−	0.120772i
$401$	−19.7141	+	6.40551i	−0.984478	+	0.319876i	−0.756646	−	0.653824i	$-0.773163\pi$
$401$	−19.7141	+	6.40551i	−0.984478	+	0.319876i	−0.227831	+	0.973701i	$0.573163\pi$
$402$	−6.64491	+	1.15319i	−0.331418	+	0.0575159i
$403$	−21.6737	+	29.8313i	−1.07964	+	1.48600i
$404$	3.79077	−	2.75416i	0.188598	−	0.137024i
$405$	5.38889	+	6.56492i	0.267776	+	0.326214i
$406$			9.76317i			0.484538i
$407$	−5.85091	+	7.32301i	−0.290019	+	0.362988i
$408$	0.720442	−	5.02768i	0.0356672	−	0.248907i
$409$	−15.7096	−	5.10437i	−0.776791	−	0.252395i	−0.106321	−	0.994332i	$-0.533907\pi$
$409$	−15.7096	−	5.10437i	−0.776791	−	0.252395i	−0.670469	+	0.741937i	$0.733907\pi$
$410$	4.05905	+	5.58680i	0.200462	+	0.275913i
$411$	−0.740727	−	0.719186i	−0.0365373	−	0.0354748i
$412$	−3.91248	−	12.0414i	−0.192754	−	0.593235i
$413$	−2.20121	−	6.77462i	−0.108314	−	0.333357i
$414$	2.81231	−	2.17287i	0.138218	−	0.106791i
$415$	−3.41683	−	4.70286i	−0.167725	−	0.230854i
$416$	−4.03112	−	1.30979i	−0.197642	−	0.0642177i
$417$	−8.80694	−	1.26199i	−0.431278	−	0.0617999i
$418$	−6.23502	−	22.6732i	−0.304965	−	1.10898i
$419$		−	16.0213i		−	0.782693i	−0.920243	−	0.391347i	$-0.872009\pi$
$419$		−	16.0213i		−	0.782693i	0.920243	−	0.391347i	$-0.127991\pi$
$420$	2.24035	+	1.10019i	0.109318	+	0.0536837i
$421$	−10.5988	+	7.70048i	−0.516554	+	0.375298i	−0.815304	−	0.579033i	$-0.803430\pi$
$421$	−10.5988	+	7.70048i	−0.516554	+	0.375298i	0.298750	+	0.954331i	$0.403430\pi$
$422$	−2.33113	+	3.20852i	−0.113478	+	0.156189i
$423$	28.4752	−	0.840469i	1.38451	−	0.0408650i
$424$	4.62924	−	1.50413i	0.224816	−	0.0730471i
$425$	9.74894	+	7.08302i	0.472893	+	0.343577i
$426$	−15.2531	+	8.05748i	−0.739016	+	0.390386i
$427$	−0.340178	+	1.04696i	−0.0164624	+	0.0506659i
$428$	−0.718739			−0.0347416
$429$	24.1556	−	3.06068i	1.16624	−	0.147771i
$430$	−5.04498			−0.243290
$431$	3.65126	−	11.2374i	0.175875	−	0.541287i	−0.823797	−	0.566884i	$-0.808149\pi$
$431$	3.65126	−	11.2374i	0.175875	−	0.541287i	0.999672	+	0.0255970i	$0.00814866\pi$
$432$	−1.03914	−	5.09119i	−0.0499957	−	0.244950i
$433$	−9.23019	−	6.70613i	−0.443575	−	0.322276i	0.343479	−	0.939160i	$-0.388395\pi$
$433$	−9.23019	−	6.70613i	−0.443575	−	0.322276i	−0.787054	+	0.616884i	$0.788395\pi$
$434$	−12.6337	+	4.10493i	−0.606435	+	0.197043i
$435$	−1.78703	−	10.2972i	−0.0856815	−	0.493714i
$436$	−5.41309	+	7.45047i	−0.259240	+	0.356813i
$437$	6.79505	−	4.93689i	0.325051	−	0.236164i
$438$	−1.33854	+	2.72572i	−0.0639580	+	0.130240i
$439$		−	16.0229i		−	0.764733i	−0.924011	−	0.382366i	$-0.875109\pi$
$439$		−	16.0229i		−	0.764733i	0.924011	−	0.382366i	$-0.124891\pi$
$440$	2.44530	+	1.95374i	0.116575	+	0.0931407i
$441$	−13.4416	−	3.93298i	−0.640075	−	0.187285i
$442$	11.8208	+	3.84081i	0.562258	+	0.182689i
$443$	2.78323	+	3.83079i	0.132235	+	0.182006i	0.870000	−	0.493052i	$-0.164119\pi$
$443$	2.78323	+	3.83079i	0.132235	+	0.182006i	−0.737765	+	0.675058i	$0.764119\pi$
$444$	−3.40990	+	3.51203i	−0.161827	+	0.166673i
$445$	−5.05695	−	15.5637i	−0.239722	−	0.737789i
$446$	2.89753	+	8.91767i	0.137202	+	0.422264i
$447$	20.9566	−	21.5843i	0.991212	−	1.02090i
$448$	−0.897526	−	1.23534i	−0.0424041	−	0.0583642i
$449$	−24.5951	−	7.99144i	−1.16072	−	0.377139i	−0.335546	−	0.942024i	$-0.608921\pi$
$449$	−24.5951	−	7.99144i	−1.16072	−	0.377139i	−0.825170	+	0.564884i	$0.808921\pi$
$450$	11.8321	+	3.46205i	0.557771	+	0.163203i
$451$	13.3514	+	20.2670i	0.628694	+	0.954334i
$452$		−	4.90477i		−	0.230701i
$453$	−11.5381	+	23.4954i	−0.542108	+	1.10391i
$454$	1.46877	−	1.06713i	0.0689329	−	0.0500827i
$455$	−3.59010	+	4.94135i	−0.168307	+	0.231654i
$456$	−2.09979	−	12.0994i	−0.0983315	−	0.566606i
$457$	−21.7712	+	7.07390i	−1.01841	+	0.330903i	−0.770200	−	0.637802i	$-0.779844\pi$
$457$	−21.7712	+	7.07390i	−1.01841	+	0.330903i	−0.248214	+	0.968705i	$0.579844\pi$
$458$	−15.0398	−	10.9271i	−0.702765	−	0.510588i
$459$	3.04716	+	14.9293i	0.142229	+	0.696841i
$460$	−0.345471	+	1.06325i	−0.0161077	+	0.0495743i
$461$	21.2809			0.991151			0.495575	−	0.868565i	$-0.334957\pi$
$461$	21.2809			0.991151			0.495575	+	0.868565i	$0.334957\pi$
$462$	7.68830	+	4.22296i	0.357692	+	0.196470i
$463$	−20.7617			−0.964880			−0.482440	−	0.875929i	$-0.660249\pi$
$463$	−20.7617			−0.964880			−0.482440	+	0.875929i	$0.660249\pi$
$464$	−1.97581	+	6.08092i	−0.0917246	+	0.282299i
$465$	12.5734	−	6.64191i	0.583077	−	0.308011i
$466$	14.6282	+	10.6280i	0.677639	+	0.492334i
$467$	3.70774	−	1.20472i	0.171574	−	0.0557477i	−0.221970	−	0.975053i	$-0.571249\pi$
$467$	3.70774	−	1.20472i	0.171574	−	0.0557477i	0.393544	+	0.919306i	$0.371249\pi$
$468$	12.7102	−	0.375151i	0.587528	−	0.0173414i
$469$	3.49477	−	4.81014i	0.161374	−	0.222112i
$470$	−7.24993	+	5.26738i	−0.334414	+	0.242966i
$471$	5.76515	+	2.83114i	0.265644	+	0.130452i
$472$		−	4.66499i		−	0.214723i
$473$	−17.7117	−	0.811724i	−0.814383	−	0.0373231i
$474$	2.82298	+	0.404519i	0.129664	+	0.0185802i
$475$	27.7097	+	9.00342i	1.27141	+	0.413105i
$476$	2.63189	+	3.62249i	0.120633	+	0.166036i
$477$	−11.5552	+	8.92789i	−0.529078	+	0.408780i
$478$	6.17702	+	19.0109i	0.282530	+	0.869539i
$479$	10.7639	+	33.1280i	0.491817	+	1.51366i	0.821860	+	0.569690i	$0.192937\pi$
$479$	10.7639	+	33.1280i	0.491817	+	1.51366i	−0.330043	+	0.943966i	$0.607063\pi$
$480$	1.17274	+	1.13863i	0.0535278	+	0.0519712i
$481$	−7.04104	−	9.69115i	−0.321044	−	0.441879i
$482$	1.70726	+	0.554722i	0.0777635	+	0.0252669i
$483$	−0.444421	+	3.10144i	−0.0202219	+	0.141121i
$484$	8.27048	+	7.25252i	0.375931	+	0.329660i
$485$			10.8131i			0.490999i
$486$	8.08143	+	13.3301i	0.366581	+	0.604664i
$487$	−4.07454	+	2.96033i	−0.184635	+	0.134145i	−0.676263	−	0.736660i	$-0.736402\pi$
$487$	−4.07454	+	2.96033i	−0.184635	+	0.134145i	0.491628	+	0.870805i	$0.336402\pi$
$488$	−0.423754	+	0.583248i	−0.0191825	+	0.0264024i
$489$	18.3894	−	3.19138i	0.831597	−	0.144319i
$490$	4.19000	−	1.36141i	0.189285	−	0.0615024i
$491$	11.3418	+	8.24030i	0.511848	+	0.371879i	0.813524	−	0.581531i	$-0.197546\pi$
$491$	11.3418	+	8.24030i	0.511848	+	0.371879i	−0.301676	+	0.953410i	$0.597546\pi$
$492$	5.92001	+	11.2068i	0.266895	+	0.505242i
$493$	5.79383	−	17.8316i	0.260941	−	0.803094i
$494$	30.0515			1.35208
$495$	−8.88182	−	3.04671i	−0.399208	−	0.136939i
$496$	−8.69951			−0.390619
$497$	4.69951	−	14.4636i	0.210802	−	0.648781i
$498$	−4.98335	−	9.43366i	−0.223309	−	0.422733i
$499$	11.2013	+	8.13820i	0.501438	+	0.364316i	0.809566	−	0.587029i	$-0.199703\pi$
$499$	11.2013	+	8.13820i	0.501438	+	0.364316i	−0.308128	+	0.951345i	$0.599703\pi$
$500$	−8.17592	+	2.65652i	−0.365638	+	0.118803i
$501$	−22.6941	+	3.93845i	−1.01390	+	0.175957i
$502$	7.46453	−	10.2740i	0.333158	−	0.458553i
$503$	−18.2723	+	13.2756i	−0.814724	+	0.591931i	−0.915196	−	0.403008i	$-0.867965\pi$
$503$	−18.2723	+	13.2756i	−0.814724	+	0.591931i	0.100473	+	0.994940i	$0.467965\pi$
$504$	3.78384	+	2.58207i	0.168546	+	0.115014i
$505$		−	4.42191i		−	0.196773i
$506$	−1.38394	+	3.67722i	−0.0615235	+	0.163472i
$507$	−1.21994	+	8.51349i	−0.0541795	+	0.378098i
$508$	5.02793	+	1.63367i	0.223078	+	0.0724825i
$509$	−15.1884	−	20.9050i	−0.673212	−	0.926597i	0.326616	−	0.945157i	$-0.394092\pi$
$509$	−15.1884	−	20.9050i	−0.673212	−	0.926597i	−0.999828	+	0.0185605i	$0.994092\pi$
$510$	−3.43891	−	3.33891i	−0.152278	−	0.147849i
$511$	−0.827265	−	2.54606i	−0.0365960	−	0.112631i
$512$	−0.309017	−	0.951057i	−0.0136568	−	0.0420312i
$513$	18.1614	+	32.0532i	0.801844	+	1.41518i
$514$	−3.11429	−	4.28646i	−0.137366	−	0.189068i
$515$	−11.3636	−	3.69226i	−0.500741	−	0.162700i
$516$	−9.16570	−	1.31340i	−0.403497	−	0.0578191i
$517$	−26.3002	+	17.3260i	−1.15668	+	0.761995i
$518$		−	4.31546i		−	0.189610i
$519$	−11.0530	−	5.42789i	−0.485173	−	0.238258i
$520$	−3.23607	+	2.35114i	−0.141911	+	0.103104i
$521$	−16.8875	+	23.2436i	−0.739854	+	1.01832i	0.258773	+	0.965938i	$0.416682\pi$
$521$	−16.8875	+	23.2436i	−0.739854	+	1.01832i	−0.998627	+	0.0523840i	$0.983318\pi$
$522$	−0.565912	−	19.1732i	−0.0247693	−	0.839189i
$523$	−3.45339	+	1.12207i	−0.151006	+	0.0490648i	−0.383545	−	0.923522i	$-0.625297\pi$
$523$	−3.45339	+	1.12207i	−0.151006	+	0.0490648i	0.232539	+	0.972587i	$0.425297\pi$
$524$	8.61535	+	6.25942i	0.376363	+	0.273444i
$525$	−9.61001	+	5.07650i	−0.419415	+	0.221557i
$526$	2.94095	−	9.05131i	0.128232	−	0.394656i
$527$	25.5103			1.11125
$528$	3.93398	+	4.18614i	0.171204	+	0.182179i
$529$	21.5966			0.938983
$530$	1.41947	−	4.36869i	0.0616579	−	0.189764i
$531$	4.71548	+	13.1766i	0.204635	+	0.571817i
$532$	8.75856	+	6.36346i	0.379732	+	0.275891i
$533$	−29.4979	+	9.58444i	−1.27770	+	0.415148i
$534$	−5.13563	−	29.5926i	−0.222241	−	1.28060i
$535$	−0.398686	+	0.548744i	−0.0172367	+	0.0237243i
$536$	3.15014	−	2.28871i	0.136065	−	0.0988572i
$537$	3.21528	−	6.54738i	0.138750	−	0.282540i
$538$			0.0731666i			0.00315444i
$539$	14.9291	−	4.10542i	0.643041	−	0.176833i
$540$	−4.46344	−	2.03072i	−0.192076	−	0.0873884i
$541$	−38.8402	−	12.6199i	−1.66987	−	0.542573i	−0.686965	−	0.726691i	$-0.741057\pi$
$541$	−38.8402	−	12.6199i	−1.66987	−	0.542573i	−0.982904	+	0.184117i	$0.941057\pi$
$542$	0.00659354	+	0.00907523i	0.000283217	+	0.000389814i
$543$	−10.4602	+	10.7735i	−0.448892	+	0.462337i
$544$	0.906157	+	2.78886i	0.0388512	+	0.119572i
$545$	2.68565	+	8.26558i	0.115041	+	0.354058i
$546$	−7.80891	+	8.04280i	−0.334190	+	0.344200i
$547$	4.23174	+	5.82450i	0.180936	+	0.249037i	0.889845	−	0.456263i	$-0.150812\pi$
$547$	4.23174	+	5.82450i	0.180936	+	0.249037i	−0.708909	+	0.705300i	$0.750812\pi$
$548$	0.566898	+	0.184196i	0.0242167	+	0.00786848i
$549$	0.607365	−	2.07577i	0.0259217	−	0.0885917i
$550$	−13.1415	+	3.61385i	−0.560356	+	0.154095i
$551$		−	45.3325i		−	1.93123i
$552$	−0.904455	+	1.84177i	−0.0384961	+	0.0783910i
$553$	−2.03398	+	1.47777i	−0.0864937	+	0.0628414i
$554$	−8.15976	+	11.2309i	−0.346675	+	0.477157i
$555$	0.789892	+	4.55152i	0.0335290	+	0.193201i
$556$	4.88522	−	1.58730i	0.207180	−	0.0673167i
$557$	−27.2935	−	19.8299i	−1.15646	−	0.840219i	−0.167135	−	0.985934i	$-0.553452\pi$
$557$	−27.2935	−	19.8299i	−1.15646	−	0.840219i	−0.989327	+	0.145715i	$0.953452\pi$
$558$	24.5724	−	8.79367i	1.04023	−	0.372266i
$559$	7.00197	−	21.5499i	0.296152	−	0.911462i
$560$	−1.44102			−0.0608941
$561$	−11.5359	−	12.2754i	−0.487048	−	0.518267i
$562$	16.9912			0.716731
$563$	1.47279	−	4.53277i	0.0620705	−	0.191033i	−0.915213	−	0.402971i	$-0.867977\pi$
$563$	1.47279	−	4.53277i	0.0620705	−	0.191033i	0.977283	+	0.211938i	$0.0679774\pi$
$564$	−14.5429	+	7.68233i	−0.612368	+	0.323484i
$565$	−3.74470	−	2.72068i	−0.157541	−	0.114460i
$566$	22.0309	−	7.15827i	0.926028	−	0.300885i
$567$	−13.2978	−	3.46845i	−0.558454	−	0.145661i
$568$	5.85410	−	8.05748i	0.245633	−	0.338084i
$569$	12.0407	−	8.74811i	0.504774	−	0.366740i	−0.306064	−	0.952011i	$-0.599012\pi$
$569$	12.0407	−	8.74811i	0.504774	−	0.366740i	0.810837	+	0.585271i	$0.199012\pi$
$570$	−10.4024	−	5.10841i	−0.435709	−	0.213968i
$571$			8.91378i			0.373030i	0.982452	+	0.186515i	$0.0597193\pi$
$571$			8.91378i			0.373030i	−0.982452	+	0.186515i	$0.940281\pi$
$572$	−11.7393	+	7.73360i	−0.490846	+	0.323358i
$573$	−23.0569	−	3.30393i	−0.963214	−	0.138024i
$574$	−10.6267	−	3.45283i	−0.443551	−	0.144119i
$575$	−2.86145	−	3.93845i	−0.119331	−	0.164245i
$576$	1.83419	+	2.37397i	0.0764247	+	0.0989154i
$577$	−3.30341	−	10.1668i	−0.137523	−	0.423251i	0.858451	−	0.512895i	$-0.171427\pi$
$577$	−3.30341	−	10.1668i	−0.137523	−	0.423251i	−0.995974	+	0.0896439i	$0.971427\pi$
$578$	2.59609	+	7.98994i	0.107983	+	0.332338i
$579$	8.69590	+	8.44302i	0.361389	+	0.350880i
$580$	3.54668	+	4.88159i	0.147268	+	0.202697i
$581$	8.94537	+	2.90653i	0.371116	+	0.120583i
$582$	−2.81507	+	19.6453i	−0.116688	+	0.814323i
$583$	5.68632	−	15.1090i	0.235503	−	0.625750i
$584$		−	1.75321i		−	0.0725483i
$585$	6.76393	−	9.91207i	0.279654	−	0.409814i
$586$	18.9457	−	13.7649i	0.782639	−	0.568621i
$587$	16.6724	−	22.9476i	0.688144	−	0.947150i	−0.311851	−	0.950131i	$-0.600949\pi$
$587$	16.6724	−	22.9476i	0.688144	−	0.947150i	0.999996	+	0.00298142i	$0.000949016\pi$
$588$	7.96680	−	1.38260i	0.328545	−	0.0570173i
$589$	58.6607	−	19.0600i	2.41707	−	0.785355i
$590$	−3.56163	−	2.58768i	−0.146630	−	0.106533i
$591$	18.5214	+	35.0617i	0.761868	+	1.44225i
$592$	0.873335	−	2.68785i	0.0358938	−	0.110470i
$593$	26.8555			1.10282			0.551411	−	0.834234i	$-0.314090\pi$
$593$	26.8555			1.10282			0.551411	+	0.834234i	$0.314090\pi$
$594$	−15.3433	−	7.84752i	−0.629543	−	0.321988i
$595$	4.22562			0.173233
$596$	−5.36735	+	16.5190i	−0.219855	+	0.676645i
$597$	−16.9034	−	31.9987i	−0.691809	−	1.30962i
$598$	−4.06224	−	2.95139i	−0.166117	−	0.120691i
$599$	−15.8754	+	5.15824i	−0.648653	+	0.210760i	−0.614820	−	0.788667i	$-0.710771\pi$
$599$	−15.8754	+	5.15824i	−0.648653	+	0.210760i	−0.0338328	+	0.999428i	$0.510771\pi$
$600$	−7.01287	+	1.21705i	−0.286299	+	0.0496857i
$601$	4.76046	−	6.55221i	0.194183	−	0.267270i	−0.700812	−	0.713346i	$-0.747179\pi$
$601$	4.76046	−	6.55221i	0.194183	−	0.267270i	0.894995	+	0.446076i	$0.147179\pi$
$602$	6.60396	−	4.79806i	0.269157	−	0.195554i
$603$	−6.58433	+	9.64887i	−0.268134	+	0.392933i
$604$		−	15.1125i		−	0.614919i
$605$	10.1248	−	2.29137i	0.411632	−	0.0931576i
$606$	1.15119	−	8.03372i	0.0467639	−	0.326348i
$607$	4.80362	+	1.56079i	0.194973	+	0.0633505i	0.404876	−	0.914372i	$-0.367315\pi$
$607$	4.80362	+	1.56079i	0.194973	+	0.0633505i	−0.209903	+	0.977722i	$0.567315\pi$
$608$	4.16740	+	5.73594i	0.169010	+	0.232623i
$609$	12.1325	+	11.7797i	0.491634	+	0.477337i
$610$	0.210241	+	0.647057i	0.00851243	+	0.0261986i
$611$	−12.4376	−	38.2790i	−0.503172	−	1.54860i
$612$	−5.37856	−	6.96140i	−0.217415	−	0.281398i
$613$	17.6683	+	24.3183i	0.713616	+	0.982208i	0.999712	+	0.0240072i	$0.00764247\pi$
$613$	17.6683	+	24.3183i	0.713616	+	0.982208i	−0.286096	+	0.958201i	$0.592358\pi$
$614$	4.74208	+	1.54079i	0.191375	+	0.0621814i
$615$	11.8400	+	1.69662i	0.477436	+	0.0684141i
$616$	−5.05905	−	0.231856i	−0.203835	−	0.00934174i
$617$			1.33268i			0.0536518i	0.999640	+	0.0268259i	$0.00853997\pi$
$617$			1.33268i			0.0536518i	−0.999640	+	0.0268259i	$0.991460\pi$
$618$	−19.6841	−	9.66646i	−0.791812	−	0.388842i
$619$	1.11705	−	0.811583i	0.0448980	−	0.0326203i	−0.565110	−	0.825016i	$-0.691166\pi$
$619$	1.11705	−	0.811583i	0.0448980	−	0.0326203i	0.610008	+	0.792395i	$0.291166\pi$
$620$	−4.82563	+	6.64191i	−0.193802	+	0.266745i
$621$	0.692995	−	6.11647i	0.0278089	−	0.245445i
$622$	−13.3003	+	4.32152i	−0.533293	+	0.173277i
$623$	21.4216	+	15.5637i	0.858237	+	0.623546i
$624$	−6.49137	+	3.42908i	−0.259863	+	0.137273i
$625$	3.84238	−	11.8256i	0.153695	−	0.473025i
$626$	−15.6631			−0.626025
$627$	−35.6984	−	19.6081i	−1.42566	−	0.783071i
$628$	−3.70820			−0.147973
$629$	−2.56095	+	7.88181i	−0.102112	+	0.314268i
$630$	4.07026	−	1.45661i	0.162163	−	0.0580329i
$631$	14.7715	+	10.7321i	0.588046	+	0.427240i	0.841616	−	0.540077i	$-0.181605\pi$
$631$	14.7715	+	10.7321i	0.588046	+	0.427240i	−0.253570	+	0.967317i	$0.581605\pi$
$632$	−1.56591	+	0.508796i	−0.0622887	+	0.0202388i
$633$	1.17456	+	6.76807i	0.0466847	+	0.269007i
$634$	−18.8109	+	25.8910i	−0.747075	+	1.02826i
$635$	4.03628	−	2.93253i	0.160175	−	0.116374i
$636$	3.71623	−	7.56747i	0.147358	−	0.300070i
$637$			19.7873i			0.784001i
$638$	11.6661	+	17.7087i	0.461864	+	0.701094i
$639$	−8.39066	+	28.6764i	−0.331930	+	1.13442i
$640$	−0.897526	−	0.291624i	−0.0354778	−	0.0115274i
$641$	12.4155	+	17.0884i	0.490381	+	0.674952i	0.980458	−	0.196727i	$-0.0630314\pi$
$641$	12.4155	+	17.0884i	0.490381	+	0.674952i	−0.490077	+	0.871679i	$0.663031\pi$
$642$	−0.867190	+	0.893163i	−0.0342252	+	0.0352503i
$643$	−0.228154	−	0.702185i	−0.00899751	−	0.0276915i	0.946457	−	0.322830i	$-0.104634\pi$
$643$	−0.228154	−	0.702185i	−0.00899751	−	0.0276915i	−0.955454	+	0.295139i	$0.904634\pi$
$644$	−0.558984	−	1.72037i	−0.0220270	−	0.0677923i
$645$	−6.08698	+	6.26929i	−0.239675	+	0.246853i
$646$	−12.2204	−	16.8200i	−0.480806	−	0.661773i
$647$	−34.1070	−	11.0820i	−1.34088	−	0.435680i	−0.451268	−	0.892388i	$-0.649028\pi$
$647$	−34.1070	−	11.0820i	−1.34088	−	0.435680i	−0.889616	+	0.456709i	$0.849028\pi$
$648$	−7.58049	−	4.85141i	−0.297790	−	0.190582i
$649$	−12.0876	−	9.65774i	−0.474482	−	0.379100i
$650$		−	17.4180i		−	0.683190i
$651$	−10.1419	+	20.6524i	−0.397494	+	0.809430i
$652$	−8.71782	+	6.33387i	−0.341416	+	0.248053i
$653$	9.84112	−	13.5451i	0.385113	−	0.530062i	−0.571817	−	0.820381i	$-0.693761\pi$
$653$	9.84112	−	13.5451i	0.385113	−	0.530062i	0.956930	+	0.290319i	$0.0937613\pi$
$654$	2.72744	+	15.7161i	0.106651	+	0.614546i
$655$	9.55789	−	3.10555i	0.373458	−	0.121344i
$656$	−5.92001	−	4.30114i	−0.231138	−	0.167931i
$657$	1.77219	+	4.95207i	0.0691396	+	0.193199i
$658$	4.48070	−	13.7902i	0.174676	−	0.537597i
$659$	−36.3989			−1.41790			−0.708951	−	0.705258i	$-0.750831\pi$
$659$	−36.3989			−1.41790			−0.708951	+	0.705258i	$0.750831\pi$
$660$	5.37823	−	0.681459i	0.209347	−	0.0265257i
$661$	−16.8578			−0.655694			−0.327847	−	0.944731i	$-0.606323\pi$
$661$	−16.8578			−0.655694			−0.327847	+	0.944731i	$0.606323\pi$
$662$	−1.78176	+	5.48370i	−0.0692501	+	0.213130i
$663$	19.0352	−	10.0554i	0.739266	−	0.390518i
$664$	4.98335	+	3.62061i	0.193391	+	0.140507i
$665$	9.71677	−	3.15717i	0.376800	−	0.122430i
$666$	0.250141	+	8.47482i	0.00969277	+	0.328393i
$667$	−4.45215	+	6.12786i	−0.172388	+	0.237272i
$668$	10.7586	−	7.81655i	0.416261	−	0.302431i
$669$	14.5778	+	7.15885i	0.563610	+	0.276777i
$670$		−	3.67462i		−	0.141963i
$671$	0.633996	+	2.30548i	0.0244751	+	0.0890022i
$672$	−2.61803	−	0.375151i	−0.100993	−	0.0144718i
$673$	−9.70460	−	3.15322i	−0.374085	−	0.121548i	0.115940	−	0.993256i	$-0.463012\pi$
$673$	−9.70460	−	3.15322i	−0.374085	−	0.121548i	−0.490024	+	0.871709i	$0.663012\pi$
$674$	18.5288	+	25.5028i	0.713704	+	0.982329i
$675$	18.5782	−	10.5264i	0.715074	−	0.405162i
$676$	−1.53442	−	4.72245i	−0.0590160	−	0.181633i
$677$	9.68951	+	29.8213i	0.372398	+	1.14612i	0.945217	+	0.326442i	$0.105850\pi$
$677$	9.68951	+	29.8213i	0.372398	+	1.14612i	−0.572819	+	0.819682i	$0.694150\pi$
$678$	−6.09506	−	5.91782i	−0.234079	−	0.227272i
$679$	−10.2839	−	14.1546i	−0.394660	−	0.543203i
$680$	2.63189	+	0.855153i	0.100928	+	0.0327936i
$681$	0.446041	−	3.11275i	0.0170923	−	0.119281i
$682$	−18.0103	+	22.5417i	−0.689648	+	0.863165i
$683$			46.5132i			1.77978i	0.456178	+	0.889889i	$0.349218\pi$
$683$			46.5132i			1.77978i	−0.456178	+	0.889889i	$0.650782\pi$
$684$	−17.5692	−	11.9891i	−0.671774	−	0.458414i
$685$	0.455089	−	0.330642i	0.0173881	−	0.0126332i
$686$	−10.4727	+	14.4144i	−0.399849	+	0.550345i
$687$	−31.7250	+	5.50571i	−1.21039	+	0.210056i
$688$	5.08423	−	1.65197i	0.193834	−	0.0629806i
$689$	16.6909	+	12.1267i	0.635874	+	0.461990i
$690$	0.904455	+	1.71217i	0.0344320	+	0.0651811i
$691$	9.08650	−	27.9654i	0.345667	−	1.06385i	−0.615559	−	0.788091i	$-0.711070\pi$
$691$	9.08650	−	27.9654i	0.345667	−	1.06385i	0.961226	−	0.275762i	$-0.0889301\pi$
$692$	7.10940			0.270259
$693$	14.5240	−	4.45892i	0.551723	−	0.169380i
$694$	−30.2072			−1.14665
$695$	1.49796	−	4.61025i	0.0568210	−	0.174877i
$696$	5.17274	+	9.79218i	0.196072	+	0.371172i
$697$	17.3598	+	12.6126i	0.657548	+	0.477737i
$698$	9.17824	−	2.98219i	0.347401	−	0.112878i
$699$	30.8568	−	5.35503i	1.16711	−	0.202546i
$700$	3.68830	−	5.07650i	0.139404	−	0.191874i
$701$	−22.1405	+	16.0860i	−0.836236	+	0.607561i	−0.921317	−	0.388813i	$-0.872885\pi$
$701$	−22.1405	+	16.0860i	−0.836236	+	0.607561i	0.0850807	+	0.996374i	$0.472885\pi$
$702$	14.8692	−	16.2473i	0.561201	−	0.613216i
$703$			20.0376i			0.755731i
$704$	−3.10407	−	1.16823i	−0.116989	−	0.0440293i
$705$	−2.20168	+	15.3647i	−0.0829200	+	0.578667i
$706$	13.0660	+	4.24542i	0.491747	+	0.159778i
$707$	4.20549	+	5.78836i	0.158164	+	0.217694i
$708$	−5.79709	−	5.62851i	−0.217868	−	0.211532i
$709$	13.1638	+	40.5141i	0.494378	+	1.52154i	0.817924	+	0.575327i	$0.195125\pi$
$709$	13.1638	+	40.5141i	0.494378	+	1.52154i	−0.323546	+	0.946213i	$0.604875\pi$
$710$	−2.90445	−	8.93899i	−0.109002	−	0.335474i
$711$	3.90874	−	3.02000i	0.146589	−	0.113259i
$712$	10.1926	+	14.0289i	0.381983	+	0.525754i
$713$	−9.80143	−	3.18468i	−0.367066	−	0.119267i
$714$	7.67708	+	1.10009i	0.287308	+	0.0411697i
$715$	−0.607365	+	13.2526i	−0.0227142	+	0.495619i
$716$			4.21134i			0.157385i
$717$	31.0773	+	15.2614i	1.16060	+	0.569948i
$718$	23.6610	−	17.1908i	0.883022	−	0.641553i
$719$	9.60723	−	13.2232i	0.358289	−	0.493143i	−0.591382	−	0.806392i	$-0.701417\pi$
$719$	9.60723	−	13.2232i	0.358289	−	0.493143i	0.949671	+	0.313249i	$0.101417\pi$
$720$	2.82991	−	0.0835271i	0.105465	−	0.00311287i
$721$	18.3867	−	5.97420i	0.684757	−	0.222491i
$722$	−25.2965	−	18.3790i	−0.941438	−	0.683995i
$723$	2.74922	−	1.45228i	0.102245	−	0.0540109i
$724$	2.67906	−	8.24528i	0.0995663	−	0.306434i
$725$	−26.2749			−0.975826
$726$	18.9913	−	1.52709i	0.704832	−	0.0566756i
$727$	−21.6566			−0.803197			−0.401599	−	0.915816i	$-0.631545\pi$
$727$	−21.6566			−0.803197			−0.401599	+	0.915816i	$0.631545\pi$
$728$	2.00000	−	6.15537i	0.0741249	−	0.228133i
$729$	26.3156	+	6.04065i	0.974652	+	0.223728i
$730$	−1.33854	−	0.972508i	−0.0495417	−	0.0359941i
$731$	−14.9089	+	4.84420i	−0.551426	+	0.179169i
$732$	0.213513	+	1.23030i	0.00789166	+	0.0454734i
$733$	−16.0834	+	22.1368i	−0.594052	+	0.817643i	−0.995148	−	0.0983933i	$-0.968630\pi$
$733$	−16.0834	+	22.1368i	−0.594052	+	0.817643i	0.401095	+	0.916036i	$0.368630\pi$
$734$	9.12557	−	6.63012i	0.336831	−	0.244722i
$735$	3.36361	−	6.84943i	0.124069	−	0.252645i
$736$		−	1.18465i		−	0.0436666i
$737$	0.591238	−	12.9007i	0.0217785	−	0.475203i
$738$	21.0692	+	6.16481i	0.775569	+	0.226930i
$739$	−47.3897	−	15.3979i	−1.74326	−	0.566420i	−0.748003	−	0.663696i	$-0.768987\pi$
$739$	−47.3897	−	15.3979i	−1.74326	−	0.566420i	−0.995257	+	0.0972762i	$0.968987\pi$
$740$	−1.56768	−	2.15773i	−0.0576291	−	0.0793197i
$741$	36.2584	−	37.3444i	1.33199	−	1.37188i
$742$	2.29675	+	7.06868i	0.0843165	+	0.259499i
$743$	−6.29906	−	19.3865i	−0.231090	−	0.711222i	−0.997616	−	0.0690089i	$-0.978016\pi$
$743$	−6.29906	−	19.3865i	−0.231090	−	0.711222i	0.766526	−	0.642213i	$-0.221984\pi$
$744$	−10.4963	+	10.8107i	−0.384814	+	0.396340i
$745$	9.63467	+	13.2610i	0.352987	+	0.485845i
$746$	5.45474	+	1.77235i	0.199712	+	0.0648904i
$747$	−17.7357	−	5.18941i	−0.648914	−	0.189871i
$748$	9.10233	+	3.42570i	0.332814	+	0.125256i
$749$		−	1.09749i		−	0.0401013i
$750$	−6.56340	+	13.3653i	−0.239661	+	0.488030i
$751$	15.4668	−	11.2373i	0.564390	−	0.410053i	−0.268673	−	0.963231i	$-0.586585\pi$
$751$	15.4668	−	11.2373i	0.564390	−	0.410053i	0.833063	+	0.553178i	$0.186585\pi$
$752$	5.58154	−	7.68233i	0.203538	−	0.280146i
$753$	−3.76108	−	21.6721i	−0.137061	−	0.789775i
$754$	−25.7744	+	8.37461i	−0.938648	+	0.304985i
$755$	−11.5381	−	8.38293i	−0.419915	−	0.305086i
$756$	7.77405	−	1.58673i	0.282739	−	0.0577088i
$757$	5.81223	−	17.8882i	0.211249	−	0.650158i	−0.788150	−	0.615484i	$-0.788961\pi$
$757$	5.81223	−	17.8882i	0.211249	−	0.650158i	0.999399	−	0.0346742i	$-0.0110394\pi$
$758$	−26.9912			−0.980365
$759$	2.89983	+	6.15652i	0.105257	+	0.223467i
$760$	6.69094			0.242706
$761$	7.25897	−	22.3408i	0.263138	−	0.809854i	−0.728979	−	0.684536i	$-0.760005\pi$
$761$	7.25897	−	22.3408i	0.263138	−	0.809854i	0.992117	−	0.125318i	$-0.0399952\pi$
$762$	8.09655	−	4.27701i	0.293307	−	0.154940i
$763$	−11.3766	−	8.26558i	−0.411860	−	0.299234i
$764$	12.7897	−	4.15562i	0.462714	−	0.150345i
$765$	−8.29839	+	0.244934i	−0.300029	+	0.00885559i
$766$	0.371431	−	0.511231i	0.0134203	−	0.0184715i
$767$	15.9966	−	11.6222i	0.577604	−	0.419654i
$768$	−1.55470	−	0.763481i	−0.0561005	−	0.0275498i
$769$			38.7115i			1.39597i	0.716111	+	0.697987i	$0.245920\pi$
$769$			38.7115i			1.39597i	−0.716111	+	0.697987i	$0.754080\pi$
$770$	−2.98328	+	3.73388i	−0.107510	+	0.134560i
$771$	−9.08423	−	1.30172i	−0.327160	−	0.0468804i
$772$	−6.65520	−	2.16241i	−0.239526	−	0.0778267i
$773$	−13.5353	−	18.6298i	−0.486832	−	0.670067i	0.492968	−	0.870048i	$-0.335912\pi$
$773$	−13.5353	−	18.6298i	−0.486832	−	0.670067i	−0.979800	+	0.199981i	$0.935912\pi$
$774$	−12.6909	+	9.80536i	−0.456166	+	0.352446i
$775$	−11.0473	−	34.0001i	−0.396830	−	1.22132i
$776$	−3.54074	−	10.8973i	−0.127105	−	0.391189i
$777$	−5.36273	−	5.20678i	−0.192387	−	0.186792i
$778$	15.7180	+	21.6340i	0.563517	+	0.775615i
$779$	49.3421	+	16.0322i	1.76787	+	0.574414i
$780$	−0.982738	+	6.85815i	−0.0351877	+	0.245561i
$781$	−8.75856	−	31.8499i	−0.313406	−	1.13968i
$782$			3.47384i			0.124224i
$783$	−24.5090	−	22.4300i	−0.875879	−	0.801585i
$784$	−3.77680	+	2.74401i	−0.134886	+	0.0980003i
$785$	−2.05695	+	2.83114i	−0.0734156	+	0.101048i
$786$	18.1732	−	3.15387i	0.648218	−	0.112495i
$787$	−19.1541	+	6.22355i	−0.682770	+	0.221846i	−0.629808	−	0.776751i	$-0.716866\pi$
$787$	−19.1541	+	6.22355i	−0.682770	+	0.221846i	−0.0529625	+	0.998597i	$0.516866\pi$
$788$	−18.5214	−	13.4566i	−0.659797	−	0.479371i
$789$	−7.69951	−	14.5755i	−0.274110	−	0.518900i
$790$	−0.480158	+	1.47777i	−0.0170833	+	0.0525768i
$791$	7.48940			0.266292
$792$	9.94855	+	0.162083i	0.353506	+	0.00575937i
$793$	−3.05573			−0.108512
$794$	−11.1299	+	34.2542i	−0.394984	+	1.21563i
$795$	−3.71623	−	7.03496i	−0.131801	−	0.249504i
$796$	16.9034	+	12.2810i	0.599124	+	0.435289i
$797$	−8.13556	+	2.64340i	−0.288176	+	0.0936341i	−0.449538	−	0.893261i	$-0.648411\pi$
$797$	−8.13556	+	2.64340i	−0.288176	+	0.0936341i	0.161362	+	0.986895i	$0.448411\pi$
$798$	18.4753	−	3.20629i	0.654019	−	0.113502i
$799$	−16.3672	+	22.5275i	−0.579031	+	0.796967i
$800$	3.32458	−	2.41545i	0.117542	−	0.0853989i
$801$	−42.9705	−	29.3227i	−1.51829	−	1.03607i
$802$		−	20.7287i		−	0.731955i
$803$	−4.54281	−	3.62960i	−0.160312	−	0.128086i
$804$	0.956643	−	6.67604i	0.0337382	−	0.235446i
$805$	−1.62354	−	0.527521i	−0.0572224	−	0.0185927i
$806$	−21.6737	−	29.8313i	−0.763423	−	1.05076i
$807$	0.0909228	+	0.0882787i	0.00320063	+	0.00310756i
$808$	1.44795	+	4.45632i	0.0509385	+	0.156773i
$809$	8.21303	+	25.2771i	0.288755	+	0.888696i	0.985248	+	0.171132i	$0.0547426\pi$
$809$	8.21303	+	25.2771i	0.288755	+	0.888696i	−0.696493	+	0.717563i	$0.745257\pi$
$810$	−7.90887	+	3.09647i	−0.277889	+	0.108799i
$811$	−10.4155	−	14.3358i	−0.365739	−	0.503397i	0.585997	−	0.810313i	$-0.300703\pi$
$811$	−10.4155	−	14.3358i	−0.365739	−	0.503397i	−0.951737	+	0.306916i	$0.900703\pi$
$812$	−9.28533	−	3.01699i	−0.325851	−	0.105875i
$813$	0.0192330	+	0.00275599i	0.000674530	+	9.66568e-5i
$814$	−5.15657	−	7.82748i	−0.180738	−	0.274353i
$815$			10.1693i			0.356215i
$816$	4.55898	+	2.23882i	0.159596	+	0.0783744i
$817$	−30.6636	+	22.2784i	−1.07278	+	0.779422i
$818$	9.70908	−	13.3634i	0.339470	−	0.467240i
$819$	0.572841	+	19.4080i	0.0200167	+	0.678169i
$820$	−6.56768	+	2.13397i	−0.229353	+	0.0745214i
$821$	31.3364	+	22.7672i	1.09365	+	0.794581i	0.980011	−	0.198942i	$-0.0637505\pi$
$821$	31.3364	+	22.7672i	1.09365	+	0.794581i	0.113635	+	0.993523i	$0.463751\pi$
$822$	0.912884	−	0.482232i	0.0318405	−	0.0168198i
$823$	−10.3524	+	31.8614i	−0.360862	+	1.11062i	0.591670	+	0.806180i	$0.298469\pi$
$823$	−10.3524	+	31.8614i	−0.360862	+	1.11062i	−0.952532	+	0.304439i	$0.901531\pi$
$824$	12.6610			0.441068
$825$	−11.3649	+	20.6910i	−0.395676	+	0.720367i
$826$	7.12326			0.247850
$827$	10.6771	−	32.8609i	0.371281	−	1.14268i	−0.574673	−	0.818383i	$-0.694871\pi$
$827$	10.6771	−	32.8609i	0.371281	−	1.14268i	0.945954	−	0.324301i	$-0.105129\pi$
$828$	1.19747	+	3.34612i	0.0416149	+	0.116286i
$829$	−24.3518	−	17.6927i	−0.845775	−	0.614491i	0.0782031	−	0.996937i	$-0.475082\pi$
$829$	−24.3518	−	17.6927i	−0.845775	−	0.614491i	−0.923978	+	0.382446i	$0.875082\pi$
$830$	5.52854	−	1.79633i	0.191898	−	0.0623516i
$831$	4.11137	+	23.6906i	0.142622	+	0.821817i
$832$	2.49137	−	3.42908i	0.0863727	−	0.118882i
$833$	11.0750	−	8.04649i	0.383728	−	0.278794i
$834$	3.92172	−	7.98592i	0.135798	−	0.276530i
$835$		−	12.5498i		−	0.434304i
$836$	23.4902	+	1.07656i	0.812427	+	0.0372335i
$837$	18.7200	−	41.1456i	0.647056	−	1.42220i
$838$	15.2372	+	4.95086i	0.526360	+	0.171025i
$839$	−6.48932	−	8.93178i	−0.224036	−	0.308359i	0.682172	−	0.731192i	$-0.261036\pi$
$839$	−6.48932	−	8.93178i	−0.224036	−	0.308359i	−0.906208	+	0.422833i	$0.861036\pi$
$840$	−1.73865	+	1.79072i	−0.0599891	+	0.0617858i
$841$	3.67154	+	11.2998i	0.126605	+	0.389650i
$842$	−4.04838	−	12.4596i	−0.139516	−	0.429387i
$843$	20.5006	−	21.1147i	0.706079	−	0.727227i
$844$	−2.33113	−	3.20852i	−0.0802408	−	0.110442i
$845$	−4.45664	−	1.44805i	−0.153313	−	0.0498145i
$846$	−8.00000	+	27.3413i	−0.275046	+	0.940013i
$847$	−11.0743	+	12.6287i	−0.380518	+	0.433928i
$848$			4.86748i			0.167150i
$849$	17.6858	−	36.0141i	0.606974	−	1.23600i
$850$	−9.74894	+	7.08302i	−0.334386	+	0.242946i
$851$	1.96791	−	2.70860i	0.0674592	−	0.0928496i
$852$	−2.94965	−	16.9965i	−0.101053	−	0.582290i
$853$	15.0696	−	4.89641i	0.515973	−	0.167650i	−0.0394441	−	0.999222i	$-0.512559\pi$
$853$	15.0696	−	4.89641i	0.515973	−	0.167650i	0.555417	+	0.831572i	$0.312559\pi$
$854$	−0.890597	−	0.647057i	−0.0304756	−	0.0221418i
$855$	−18.8991	+	6.76337i	−0.646335	+	0.231302i
$856$	0.222103	−	0.683562i	0.00759131	−	0.0233637i
$857$	−37.7235			−1.28861			−0.644305	−	0.764769i	$-0.722853\pi$
$857$	−37.7235			−1.28861			−0.644305	+	0.764769i	$0.722853\pi$
$858$	−4.55361	+	23.9191i	−0.155458	+	0.816586i
$859$	22.4943			0.767497			0.383749	−	0.923438i	$-0.374633\pi$
$859$	22.4943			0.767497			0.383749	+	0.923438i	$0.374633\pi$
$860$	1.55898	−	4.79806i	0.0531609	−	0.163612i
$861$	−17.1124	+	9.03964i	−0.583188	+	0.308070i
$862$	9.55912	+	6.94510i	0.325585	+	0.236551i
$863$	−4.45269	+	1.44677i	−0.151571	+	0.0492485i	−0.383820	−	0.923408i	$-0.625392\pi$
$863$	−4.45269	+	1.44677i	−0.151571	+	0.0492485i	0.232249	+	0.972656i	$0.425392\pi$
$864$	5.16312	+	0.584981i	0.175653	+	0.0199015i
$865$	3.94360	−	5.42789i	0.134086	−	0.184554i
$866$	9.23019	−	6.70613i	0.313655	−	0.227883i
$867$	13.0612	+	6.41409i	0.443583	+	0.217834i
$868$		−	13.2838i		−	0.450882i
$869$	−1.92349	+	5.11084i	−0.0652498	+	0.173373i
$870$	10.3455	+	1.48245i	0.350744	+	0.0502599i
$871$	15.6963	+	5.10004i	0.531849	+	0.172808i
$872$	−5.41309	−	7.45047i	−0.183310	−	0.252305i
$873$	21.0163	+	27.2011i	0.711294	+	0.920618i
$874$	2.59548	+	7.98806i	0.0877934	+	0.270200i
$875$	−4.05640	−	12.4843i	−0.137131	−	0.422047i
$876$	−2.17868	−	2.11532i	−0.0736107	−	0.0714701i
$877$	24.0621	+	33.1186i	0.812520	+	1.11834i	0.990930	+	0.134381i	$0.0429046\pi$
$877$	24.0621	+	33.1186i	0.812520	+	1.11834i	−0.178410	+	0.983956i	$0.557095\pi$
$878$	15.2387	+	4.95136i	0.514282	+	0.167100i
$879$	5.75348	−	40.1513i	0.194060	−	1.35427i
$880$	−2.61375	+	1.72188i	−0.0881096	+	0.0580445i
$881$			53.8892i			1.81557i	0.419431	+	0.907787i	$0.362230\pi$
$881$			53.8892i			1.81557i	−0.419431	+	0.907787i	$0.637770\pi$
$882$	7.89416	−	11.5683i	0.265810	−	0.389527i
$883$	8.88868	−	6.45800i	0.299128	−	0.217329i	−0.428090	−	0.903736i	$-0.640813\pi$
$883$	8.88868	−	6.45800i	0.299128	−	0.217329i	0.727217	+	0.686407i	$0.240813\pi$
$884$	−7.30565	+	10.0554i	−0.245716	+	0.338199i
$885$	−7.51291	+	1.30383i	−0.252544	+	0.0438276i
$886$	−4.50336	+	1.46323i	−0.151293	+	0.0491582i
$887$	22.3015	+	16.2030i	0.748811	+	0.544043i	0.895458	−	0.445146i	$-0.146848\pi$
$887$	22.3015	+	16.2030i	0.748811	+	0.544043i	−0.146647	+	0.989189i	$0.546848\pi$
$888$	−2.28642	−	4.32828i	−0.0767273	−	0.145248i
$889$	−2.49456	+	7.67746i	−0.0836648	+	0.257494i
$890$	16.3646			0.548543
$891$	−28.2643	+	9.59842i	−0.946889	+	0.321559i
$892$	−9.37659			−0.313951
$893$	−20.8048	+	64.0307i	−0.696207	+	2.14271i
$894$	14.0519	+	26.6008i	0.469966	+	0.889663i
$895$	3.21528	+	2.33604i	0.107475	+	0.0780852i
$896$	1.45223	−	0.471857i	0.0485155	−	0.0157636i
$897$	−8.56890	+	1.48709i	−0.286107	+	0.0496524i
$898$	15.2006	−	20.9219i	0.507251	−	0.698172i
$899$	−45.0002	+	32.6946i	−1.50084	+	1.09043i
$900$	−6.94893	+	10.1832i	−0.231631	+	0.339439i
$901$		−	14.2733i		−	0.475513i
$902$	−23.4008	+	6.43511i	−0.779163	+	0.214266i
$903$	2.00551	−	13.9957i	0.0667392	−	0.465747i
$904$	4.66471	+	1.51566i	0.155146	+	0.0504100i
$905$	−4.80904	−	6.61908i	−0.159858	−	0.220026i
$906$	−18.7800	−	18.2339i	−0.623924	−	0.605780i
$907$	−16.0446	−	49.3803i	−0.532753	−	1.63965i	−0.748455	−	0.663186i	$-0.769204\pi$
$907$	−16.0446	−	49.3803i	−0.532753	−	1.63965i	0.215702	−	0.976459i	$-0.430796\pi$
$908$	0.561021	+	1.72665i	0.0186181	+	0.0573007i
$909$	−8.59439	−	11.1236i	−0.285058	−	0.368946i
$910$	−3.59010	−	4.94135i	−0.119011	−	0.163804i
$911$	32.9754	+	10.7144i	1.09252	+	0.354982i	0.799221	−	0.601037i	$-0.205246\pi$
$911$	32.9754	+	10.7144i	1.09252	+	0.354982i	0.293302	+	0.956020i	$0.405246\pi$
$912$	12.1561	+	1.74190i	0.402528	+	0.0576802i
$913$	19.6984	−	5.41694i	0.651920	−	0.179275i
$914$		−	22.8916i		−	0.757187i
$915$	1.05775	+	0.519439i	0.0349681	+	0.0171721i
$916$	15.0398	−	10.9271i	0.496930	−	0.361040i
$917$	−9.55789	+	13.1553i	−0.315629	+	0.434427i
$918$	−15.1403	−	1.71539i	−0.499703	−	0.0566163i
$919$	2.83223	−	0.920248i	0.0934267	−	0.0303562i	−0.261931	−	0.965087i	$-0.584359\pi$
$919$	2.83223	−	0.920248i	0.0934267	−	0.0303562i	0.355357	+	0.934731i	$0.384359\pi$
$920$	−0.904455	−	0.657125i	−0.0298190	−	0.0216648i
$921$	7.63624	−	4.03385i	0.251623	−	0.132920i
$922$	−6.57616	+	20.2393i	−0.216574	+	0.666547i
$923$	42.2144			1.38950
$924$	−6.39208	+	6.00704i	−0.210284	+	0.197617i
$925$	11.6139			0.381862
$926$	6.41573	−	19.7456i	0.210834	−	0.648880i
$927$	−35.7621	+	12.7981i	−1.17458	+	0.420344i
$928$	−5.17274	−	3.75821i	−0.169803	−	0.123369i
$929$	43.8878	−	14.2600i	1.43991	−	0.467856i	0.518043	−	0.855355i	$-0.326661\pi$
$929$	43.8878	−	14.2600i	1.43991	−	0.467856i	0.921870	+	0.387498i	$0.126661\pi$
$930$	2.43144	+	14.0105i	0.0797301	+	0.459421i
$931$	19.4550	−	26.7776i	0.637613	−	0.877599i
$932$	−14.6282	+	10.6280i	−0.479163	+	0.348132i
$933$	−10.6771	+	21.7421i	−0.349552	+	0.711804i
$934$			3.89855i			0.127565i
$935$	7.66453	−	5.04921i	0.250657	−	0.165127i
$936$	−3.57087	+	12.2040i	−0.116718	+	0.398901i
$937$	34.1863	+	11.1078i	1.11682	+	0.362876i	0.808552	−	0.588424i	$-0.200251\pi$
$937$	34.1863	+	11.1078i	1.11682	+	0.362876i	0.308266	+	0.951300i	$0.400251\pi$
$938$	3.49477	+	4.81014i	0.114108	+	0.157057i
$939$	−18.8983	+	19.4643i	−0.616721	+	0.635193i
$940$	−2.76923	−	8.52280i	−0.0903222	−	0.277983i
$941$	4.43429	+	13.6473i	0.144554	+	0.444891i	0.996953	−	0.0780003i	$-0.0248535\pi$
$941$	4.43429	+	13.6473i	0.144554	+	0.444891i	−0.852400	+	0.522891i	$0.824854\pi$
$942$	−4.47411	+	4.60811i	−0.145774	+	0.150140i
$943$	−5.09533	−	7.01312i	−0.165927	−	0.228379i
$944$	4.43667	+	1.44156i	0.144401	+	0.0469188i
$945$	3.10084	−	6.81550i	0.100870	−	0.221708i
$946$	6.24520	−	16.5940i	0.203049	−	0.539516i
$947$		−	12.3625i		−	0.401726i	−0.979619	−	0.200863i	$-0.935625\pi$
$947$		−	12.3625i		−	0.401726i	0.979619	−	0.200863i	$-0.0643746\pi$
$948$	−1.25707	+	2.55981i	−0.0408277	+	0.0831388i
$949$	6.01189	−	4.36789i	0.195154	−	0.141788i
$950$	−17.1255	+	23.5713i	−0.555626	+	0.764753i
$951$	9.47805	+	54.6145i	0.307347	+	1.77100i
$952$	−4.25849	+	1.38367i	−0.138018	+	0.0448449i
$953$	18.6023	+	13.5153i	0.602586	+	0.437805i	0.846796	−	0.531918i	$-0.178529\pi$
$953$	18.6023	+	13.5153i	0.602586	+	0.437805i	−0.244210	+	0.969722i	$0.578529\pi$
$954$	−4.92016	−	13.7486i	−0.159296	−	0.445126i
$955$	3.92172	−	12.0698i	0.126904	−	0.390570i
$956$	−19.9892			−0.646499
$957$	36.0819	+	6.86909i	1.16636	+	0.222046i
$958$	−34.8328			−1.12540
$959$	−0.281261	+	0.865632i	−0.00908238	+	0.0279527i
$960$	−1.44530	+	0.763481i	−0.0466468	+	0.0246412i
$961$	−36.1480	−	26.2631i	−1.16607	−	0.847196i
$962$	11.3926	−	3.70169i	0.367313	−	0.119347i
$963$	0.0636148	+	2.15528i	0.00204996	+	0.0694529i
$964$	−1.05514	+	1.45228i	−0.0339839	+	0.0467748i
$965$	−5.34261	+	3.88163i	−0.171985	+	0.124954i
$966$	−2.81231	−	1.38107i	−0.0904847	−	0.0444351i
$967$			58.6116i			1.88482i	0.334455	+	0.942412i	$0.391448\pi$
$967$			58.6116i			1.88482i	−0.334455	+	0.942412i	$0.608552\pi$
$968$	−9.45328	+	5.62455i	−0.303840	+	0.180780i
$969$	−35.6463	−	5.10794i	−1.14512	−	0.164091i
$970$	−10.2839	−	3.34144i	−0.330196	−	0.107287i
$971$	−20.5172	−	28.2395i	−0.658428	−	0.906249i	0.341000	−	0.940063i	$-0.389234\pi$
$971$	−20.5172	−	28.2395i	−0.658428	−	0.906249i	−0.999428	+	0.0338147i	$0.989234\pi$
$972$	−15.1749	+	3.56668i	−0.486736	+	0.114401i
$973$	2.42375	+	7.45955i	0.0777020	+	0.239142i
$974$	−1.55634	−	4.78991i	−0.0498683	−	0.153479i
$975$	−21.6450	−	21.0156i	−0.693195	−	0.673036i
$976$	−0.423754	−	0.583248i	−0.0135640	−	0.0186693i
$977$	−45.7412	−	14.8622i	−1.46339	−	0.475485i	−0.534287	−	0.845303i	$-0.679420\pi$
$977$	−45.7412	−	14.8622i	−1.46339	−	0.475485i	−0.929104	+	0.369819i	$0.879420\pi$
$978$	−2.64745	+	18.4755i	−0.0846562	+	0.590783i
$979$	57.4521	+	2.63303i	1.83618	+	0.0841519i
$980$			4.40562i			0.140733i
$981$	22.8208	+	15.5728i	0.728612	+	0.497200i
$982$	−11.3418	+	8.24030i	−0.361931	+	0.262958i
$983$	3.53254	−	4.86212i	0.112670	−	0.155078i	−0.748957	−	0.662618i	$-0.769445\pi$
$983$	3.53254	−	4.86212i	0.112670	−	0.155078i	0.861628	+	0.507541i	$0.169445\pi$
$984$	−12.4877	+	2.16717i	−0.398093	+	0.0690870i
$985$	−20.5477	+	6.67635i	−0.654704	+	0.212726i
$986$	15.1685	+	11.0205i	0.483062	+	0.350965i
$987$	−11.7306	−	22.2065i	−0.373390	−	0.706841i
$988$	−9.28642	+	28.5807i	−0.295440	+	0.909272i
$989$	6.33296			0.201377
$990$	5.64222	−	7.50563i	0.179322	−	0.238544i
$991$	51.4597			1.63467			0.817336	−	0.576161i	$-0.195450\pi$
$991$	51.4597			1.63467			0.817336	+	0.576161i	$0.195450\pi$
$992$	2.68830	−	8.27372i	0.0853535	−	0.262691i
$993$	4.66471	+	8.83048i	0.148030	+	0.280227i
$994$	12.3035	+	8.93899i	0.390242	+	0.283528i
$995$	18.7526	−	6.09310i	0.594499	−	0.193164i
$996$	10.5119	−	1.82428i	0.333082	−	0.0578046i
$997$	21.7299	−	29.9086i	0.688192	−	0.947215i	−0.311804	−	0.950147i	$-0.600933\pi$
$997$	21.7299	−	29.9086i	0.688192	−	0.947215i	0.999996	+	0.00293153i	$0.000933137\pi$
$998$	−11.2013	+	8.13820i	−0.354570	+	0.257610i
$999$	10.8333	+	9.91439i	0.342751	+	0.313677i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	66.2.h.b.35.2	yes	8
3.2	odd	2		66.2.h.a.35.1	yes	8
4.3	odd	2		528.2.bn.a.497.1		8
11.2	odd	10		726.2.h.c.239.2		8
11.3	even	5		726.2.h.f.161.1		8
11.4	even	5		726.2.b.c.725.5		8
11.5	even	5		726.2.h.j.215.1		8
11.6	odd	10		66.2.h.a.17.1	✓	8
11.7	odd	10		726.2.b.e.725.5		8
11.8	odd	10		726.2.h.a.161.1		8
11.9	even	5		726.2.h.h.239.2		8
11.10	odd	2		726.2.h.d.233.2		8
12.11	even	2		528.2.bn.b.497.2		8
33.2	even	10		726.2.h.f.239.1		8
33.5	odd	10		726.2.h.d.215.1		8
33.8	even	10		726.2.h.h.161.2		8
33.14	odd	10		726.2.h.c.161.2		8
33.17	even	10	inner	66.2.h.b.17.1	yes	8
33.20	odd	10		726.2.h.a.239.1		8
33.26	odd	10		726.2.b.e.725.6		8
33.29	even	10		726.2.b.c.725.6		8
33.32	even	2		726.2.h.j.233.1		8
44.39	even	10		528.2.bn.b.17.2		8
132.83	odd	10		528.2.bn.a.17.2		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
66.2.h.a.17.1	✓	8	11.6	odd	10
66.2.h.a.35.1	yes	8	3.2	odd	2
66.2.h.b.17.1	yes	8	33.17	even	10	inner
66.2.h.b.35.2	yes	8	1.1	even	1	trivial
528.2.bn.a.17.2		8	132.83	odd	10
528.2.bn.a.497.1		8	4.3	odd	2
528.2.bn.b.17.2		8	44.39	even	10
528.2.bn.b.497.2		8	12.11	even	2
726.2.b.c.725.5		8	11.4	even	5
726.2.b.c.725.6		8	33.29	even	10
726.2.b.e.725.5		8	11.7	odd	10
726.2.b.e.725.6		8	33.26	odd	10
726.2.h.a.161.1		8	11.8	odd	10
726.2.h.a.239.1		8	33.20	odd	10
726.2.h.c.161.2		8	33.14	odd	10
726.2.h.c.239.2		8	11.2	odd	10
726.2.h.d.215.1		8	33.5	odd	10
726.2.h.d.233.2		8	11.10	odd	2
726.2.h.f.161.1		8	11.3	even	5
726.2.h.f.239.1		8	33.2	even	10
726.2.h.h.161.2		8	33.8	even	10
726.2.h.h.239.2		8	11.9	even	5
726.2.h.j.215.1		8	11.5	even	5
726.2.h.j.233.1		8	33.32	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 66 = 2 \cdot 3 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	66.h (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 + 0.951057i) q^{2} +(0.809017 + 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.897526 + 0.291624i) q^{5} +(-1.70654 + 0.296161i) q^{6} +(0.897526 - 1.23534i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 + 2.47802i) q^{9} +O(q^{10})\)	\(q+(-0.309017 + 0.951057i) q^{2} +(0.809017 + 1.53150i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-0.897526 + 0.291624i) q^{5} +(-1.70654 + 0.296161i) q^{6} +(0.897526 - 1.23534i) q^{7} +(0.809017 - 0.587785i) q^{8} +(-1.69098 + 2.47802i) q^{9} -0.943715i q^{10} +(0.151841 - 3.31315i) q^{11} +(0.245684 - 1.71454i) q^{12} +(4.03112 + 1.30979i) q^{13} +(0.897526 + 1.23534i) q^{14} +(-1.17274 - 1.13863i) q^{15} +(0.309017 + 0.951057i) q^{16} +(-0.906157 - 2.78886i) q^{17} +(-1.83419 - 2.37397i) q^{18} +(-4.16740 - 5.73594i) q^{19} +(0.897526 + 0.291624i) q^{20} +(2.61803 + 0.375151i) q^{21} +(3.10407 + 1.16823i) q^{22} +1.18465i q^{23} +(1.55470 + 0.763481i) q^{24} +(-3.32458 + 2.41545i) q^{25} +(-2.49137 + 3.42908i) q^{26} +(-5.16312 - 0.584981i) q^{27} +(-1.45223 + 0.471857i) q^{28} +(5.17274 + 3.75821i) q^{29} +(1.44530 - 0.763481i) q^{30} +(-2.68830 + 8.27372i) q^{31} -1.00000 q^{32} +(5.19693 - 2.44785i) q^{33} +2.93239 q^{34} +(-0.445299 + 1.37049i) q^{35} +(2.82458 - 1.01082i) q^{36} +(-2.28642 - 1.66118i) q^{37} +(6.74300 - 2.19093i) q^{38} +(1.25530 + 7.23330i) q^{39} +(-0.554701 + 0.763481i) q^{40} +(-5.92001 + 4.30114i) q^{41} +(-1.16581 + 2.37397i) q^{42} -5.34587i q^{43} +(-2.07026 + 2.59114i) q^{44} +(0.795052 - 2.71722i) q^{45} +(-1.12667 - 0.366076i) q^{46} +(-5.58154 - 7.68233i) q^{47} +(-1.20654 + 1.24268i) q^{48} +(1.44261 + 4.43990i) q^{49} +(-1.26988 - 3.90827i) q^{50} +(3.53805 - 3.64402i) q^{51} +(-2.49137 - 3.42908i) q^{52} +(4.62924 + 1.50413i) q^{53} +(2.15184 - 4.72965i) q^{54} +(0.829911 + 3.01792i) q^{55} -1.52696i q^{56} +(5.41309 - 11.0228i) q^{57} +(-5.17274 + 3.75821i) q^{58} +(2.74201 - 3.77405i) q^{59} +(0.279492 + 1.61049i) q^{60} +(-0.685649 + 0.222781i) q^{61} +(-7.03805 - 5.11344i) q^{62} +(1.54349 + 4.31302i) q^{63} +(0.309017 - 0.951057i) q^{64} -4.00000 q^{65} +(0.722103 + 5.69900i) q^{66} +3.89379 q^{67} +(-0.906157 + 2.78886i) q^{68} +(-1.81428 + 0.958399i) q^{69} +(-1.16581 - 0.847008i) q^{70} +(9.47214 - 3.07768i) q^{71} +(0.0885088 + 2.99869i) q^{72} +(1.03051 - 1.41838i) q^{73} +(2.28642 - 1.66118i) q^{74} +(-6.38889 - 3.13745i) q^{75} +7.09001i q^{76} +(-3.95658 - 3.16121i) q^{77} +(-7.26719 - 1.04135i) q^{78} +(-1.56591 - 0.508796i) q^{79} +(-0.554701 - 0.763481i) q^{80} +(-3.28115 - 8.38057i) q^{81} +(-2.26124 - 6.95939i) q^{82} +(1.90347 + 5.85828i) q^{83} +(-1.89753 - 1.84235i) q^{84} +(1.62660 + 2.23882i) q^{85} +(5.08423 + 1.65197i) q^{86} +(-1.57087 + 10.9625i) q^{87} +(-1.82458 - 2.76964i) q^{88} +17.3406i q^{89} +(2.33854 + 1.59581i) q^{90} +(5.23607 - 3.80423i) q^{91} +(0.696317 - 0.958399i) q^{92} +(-14.8461 + 2.57646i) q^{93} +(9.03112 - 2.93439i) q^{94} +(5.41309 + 3.93284i) q^{95} +(-0.809017 - 1.53150i) q^{96} +(3.54074 - 10.8973i) q^{97} -4.66839 q^{98} +(7.95328 + 5.97874i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9} - q^{11} - 3 q^{12} + 9 q^{15} - 2 q^{16} - 10 q^{17} - 7 q^{18} - 15 q^{19} + 12 q^{21} + 6 q^{22} + 3 q^{24} - 6 q^{25} - 10 q^{26} - 10 q^{27} + 5 q^{28} + 23 q^{29} + 21 q^{30} + 13 q^{31} - 8 q^{32} + 17 q^{33} + 10 q^{34} - 13 q^{35} + 2 q^{36} + 6 q^{37} + 10 q^{38} + 18 q^{39} + 5 q^{40} + 2 q^{41} - 17 q^{42} + 9 q^{44} - 8 q^{45} - 10 q^{46} + 10 q^{47} + 2 q^{48} - 18 q^{49} + q^{50} - 30 q^{51} - 10 q^{52} + 15 q^{53} + 15 q^{54} - 14 q^{55} + 20 q^{57} - 23 q^{58} - 25 q^{59} + 4 q^{60} - 10 q^{61} + 2 q^{62} + 16 q^{63} - 2 q^{64} - 32 q^{65} - 22 q^{66} - 2 q^{67} - 10 q^{68} - 26 q^{69} - 17 q^{70} + 40 q^{71} - 2 q^{72} + 5 q^{73} - 6 q^{74} - 34 q^{75} - 12 q^{77} - 8 q^{78} + 10 q^{79} + 5 q^{80} + 14 q^{81} + 3 q^{82} - 21 q^{83} - 8 q^{84} + 30 q^{85} + 25 q^{86} + 42 q^{87} + 6 q^{88} + 8 q^{90} + 24 q^{91} + 10 q^{92} - 53 q^{93} + 40 q^{94} + 20 q^{95} - 2 q^{96} + 9 q^{97} - 22 q^{98} + 34 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9 - q^11 - 3 * q^12 + 9 * q^15 - 2 * q^16 - 10 * q^17 - 7 * q^18 - 15 * q^19 + 12 * q^21 + 6 * q^22 + 3 * q^24 - 6 * q^25 - 10 * q^26 - 10 * q^27 + 5 * q^28 + 23 * q^29 + 21 * q^30 + 13 * q^31 - 8 * q^32 + 17 * q^33 + 10 * q^34 - 13 * q^35 + 2 * q^36 + 6 * q^37 + 10 * q^38 + 18 * q^39 + 5 * q^40 + 2 * q^41 - 17 * q^42 + 9 * q^44 - 8 * q^45 - 10 * q^46 + 10 * q^47 + 2 * q^48 - 18 * q^49 + q^50 - 30 * q^51 - 10 * q^52 + 15 * q^53 + 15 * q^54 - 14 * q^55 + 20 * q^57 - 23 * q^58 - 25 * q^59 + 4 * q^60 - 10 * q^61 + 2 * q^62 + 16 * q^63 - 2 * q^64 - 32 * q^65 - 22 * q^66 - 2 * q^67 - 10 * q^68 - 26 * q^69 - 17 * q^70 + 40 * q^71 - 2 * q^72 + 5 * q^73 - 6 * q^74 - 34 * q^75 - 12 * q^77 - 8 * q^78 + 10 * q^79 + 5 * q^80 + 14 * q^81 + 3 * q^82 - 21 * q^83 - 8 * q^84 + 30 * q^85 + 25 * q^86 + 42 * q^87 + 6 * q^88 + 8 * q^90 + 24 * q^91 + 10 * q^92 - 53 * q^93 + 40 * q^94 + 20 * q^95 - 2 * q^96 + 9 * q^97 - 22 * q^98 + 34 * q^99

Introduction

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