LMFDB - Embedded newform 588.2.x.a.139.10

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			139.10
Character	$\chi$	$=$	588.139
Dual form			588.2.x.a.55.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.712285 + 1.22174i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-0.985301 - 1.74045i) q^{4} +(1.07827 + 2.23906i) q^{5} +(0.111653 - 1.40980i) q^{6} +(-2.56980 + 0.629382i) q^{7} +(2.82820 + 0.0359170i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.712285 + 1.22174i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-0.985301 - 1.74045i) q^{4} +(1.07827 + 2.23906i) q^{5} +(0.111653 - 1.40980i) q^{6} +(-2.56980 + 0.629382i) q^{7} +(2.82820 + 0.0359170i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-3.50359 - 0.277476i) q^{10} +(1.52083 - 1.21283i) q^{11} +(1.64288 + 1.14059i) q^{12} +(-3.11300 + 2.48254i) q^{13} +(1.06149 - 3.58793i) q^{14} +(-1.94298 - 1.54948i) q^{15} +(-2.05836 + 3.42974i) q^{16} +(-6.88695 + 1.57190i) q^{17} +(0.511093 + 1.31863i) q^{18} +0.903503 q^{19} +(2.83455 - 4.08283i) q^{20} +(2.04223 - 1.68205i) q^{21} +(0.398491 + 2.72194i) q^{22} +(2.37795 + 0.542752i) q^{23} +(-2.56370 + 1.19475i) q^{24} +(-0.733256 + 0.919474i) q^{25} +(-0.815672 - 5.57156i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(3.62744 + 3.85249i) q^{28} +(-0.897561 - 3.93247i) q^{29} +(3.27701 - 1.27015i) q^{30} -6.12089 q^{31} +(-2.72412 - 4.95774i) q^{32} +(-0.844000 + 1.75258i) q^{33} +(2.98501 - 9.53371i) q^{34} +(-4.18017 - 5.07529i) q^{35} +(-1.97507 - 0.314816i) q^{36} +(-0.235480 - 1.03171i) q^{37} +(-0.643552 + 1.10385i) q^{38} +(1.72759 - 3.58737i) q^{39} +(2.96915 + 6.37123i) q^{40} +(-4.84104 - 10.0525i) q^{41} +(0.600377 + 3.69318i) q^{42} +(-1.03831 + 2.15607i) q^{43} +(-3.60935 - 1.45195i) q^{44} +(2.42286 + 0.553002i) q^{45} +(-2.35688 + 2.51865i) q^{46} +(-1.73095 - 2.17054i) q^{47} +(0.366412 - 3.98318i) q^{48} +(6.20776 - 3.23477i) q^{49} +(-0.601072 - 1.55078i) q^{50} +(5.52290 - 4.40437i) q^{51} +(7.38799 + 2.97200i) q^{52} +(-1.09378 + 4.79217i) q^{53} +(-1.03261 - 0.966289i) q^{54} +(4.35546 + 2.09748i) q^{55} +(-7.29051 + 1.68772i) q^{56} +(-0.814028 + 0.392015i) q^{57} +(5.44378 + 1.70445i) q^{58} +(-3.03802 - 1.46303i) q^{59} +(-0.782371 + 4.90837i) q^{60} +(-6.43883 + 1.46962i) q^{61} +(4.35982 - 7.47814i) q^{62} +(-1.11017 + 2.40156i) q^{63} +(7.99742 + 0.203161i) q^{64} +(-8.91521 - 4.29334i) q^{65} +(-1.54003 - 2.27949i) q^{66} -5.78844i q^{67} +(9.52154 + 10.4376i) q^{68} +(-2.37795 + 0.542752i) q^{69} +(9.17816 - 1.49204i) q^{70} +(-0.509726 - 0.116342i) q^{71} +(1.79143 - 2.18878i) q^{72} +(-6.52902 - 5.20672i) q^{73} +(1.42821 + 0.447173i) q^{74} +(0.261696 - 1.14657i) q^{75} +(-0.890223 - 1.57251i) q^{76} +(-3.14491 + 4.07391i) q^{77} +(3.15230 + 4.66589i) q^{78} +13.7207i q^{79} +(-9.89887 - 0.910596i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(15.7298 + 1.24576i) q^{82} +(8.67672 - 10.8803i) q^{83} +(-4.93974 - 1.89709i) q^{84} +(-10.9456 - 13.7253i) q^{85} +(-1.89459 - 2.80428i) q^{86} +(2.51491 + 3.15360i) q^{87} +(4.34479 - 3.37549i) q^{88} +(10.0483 + 8.01329i) q^{89} +(-2.40139 + 2.56621i) q^{90} +(6.43734 - 8.33890i) q^{91} +(-1.39836 - 4.67349i) q^{92} +(5.51473 - 2.65576i) q^{93} +(3.88477 - 0.568727i) q^{94} +(0.974223 + 2.02300i) q^{95} +(4.60543 + 3.28482i) q^{96} +17.0403i q^{97} +(-0.469635 + 9.88835i) q^{98} -1.94522i 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 $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{14}\right)$

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 $

$2$	−0.712285	+	1.22174i	−0.503661	+	0.863901i
$2$	−0.712285	+	1.22174i	−0.503661	+	0.863901i
$3$	−0.900969	+	0.433884i	−0.520175	+	0.250503i
$3$	−0.900969	+	0.433884i	−0.520175	+	0.250503i
$4$	−0.985301	−	1.74045i	−0.492650	−	0.870227i
$5$	1.07827	+	2.23906i	0.482218	+	1.00134i	0.990159	+	0.139945i	$0.0446926\pi$
$5$	1.07827	+	2.23906i	0.482218	+	1.00134i	−0.507941	+	0.861392i	$0.669593\pi$
$6$	0.111653	−	1.40980i	0.0455821	−	0.575548i
$7$	−2.56980	+	0.629382i	−0.971294	+	0.237884i
$7$	−2.56980	+	0.629382i	−0.971294	+	0.237884i
$8$	2.82820	+	0.0359170i	0.999919	+	0.0126986i
$9$	0.623490	−	0.781831i	0.207830	−	0.260610i
$10$	−3.50359	−	0.277476i	−1.10793	−	0.0877456i
$11$	1.52083	−	1.21283i	0.458549	−	0.365681i	−0.366803	−	0.930298i	$-0.619548\pi$
$11$	1.52083	−	1.21283i	0.458549	−	0.365681i	0.825352	+	0.564618i	$0.190976\pi$
$12$	1.64288	+	1.14059i	0.474259	+	0.329260i
$13$	−3.11300	+	2.48254i	−0.863392	+	0.688532i	−0.951523	−	0.307577i	$-0.900482\pi$
$13$	−3.11300	+	2.48254i	−0.863392	+	0.688532i	0.0881314	+	0.996109i	$0.471910\pi$
$14$	1.06149	−	3.58793i	0.283695	−	0.958915i
$15$	−1.94298	−	1.54948i	−0.501676	−	0.400073i
$16$	−2.05836	+	3.42974i	−0.514591	+	0.857436i
$17$	−6.88695	+	1.57190i	−1.67033	+	0.381242i	−0.949966	−	0.312354i	$-0.898883\pi$
$17$	−6.88695	+	1.57190i	−1.67033	+	0.381242i	−0.720364	+	0.693596i	$0.756025\pi$
$18$	0.511093	+	1.31863i	0.120466	+	0.310804i
$19$	0.903503			0.207278			0.103639	−	0.994615i	$-0.466951\pi$
$19$	0.903503			0.207278			0.103639	+	0.994615i	$0.466951\pi$
$20$	2.83455	−	4.08283i	0.633826	−	0.912949i
$21$	2.04223	−	1.68205i	0.445652	−	0.367053i
$22$	0.398491	+	2.72194i	0.0849585	+	0.580320i
$23$	2.37795	+	0.542752i	0.495837	+	0.113172i	0.463125	−	0.886293i	$-0.346728\pi$
$23$	2.37795	+	0.542752i	0.495837	+	0.113172i	0.0327127	+	0.999465i	$0.489585\pi$
$24$	−2.56370	+	1.19475i	−0.523314	+	0.243877i
$25$	−0.733256	+	0.919474i	−0.146651	+	0.183895i
$26$	−0.815672	−	5.57156i	−0.159967	−	1.09267i
$27$	−0.222521	+	0.974928i	−0.0428242	+	0.187625i
$28$	3.62744	+	3.85249i	0.685521	+	0.728052i
$29$	−0.897561	−	3.93247i	−0.166673	−	0.730242i	−0.987312	−	0.158794i	$-0.949239\pi$
$29$	−0.897561	−	3.93247i	−0.166673	−	0.730242i	0.820639	−	0.571447i	$-0.193618\pi$
$30$	3.27701	−	1.27015i	0.598298	−	0.231897i
$31$	−6.12089			−1.09934			−0.549672	−	0.835380i	$-0.685247\pi$
$31$	−6.12089			−1.09934			−0.549672	+	0.835380i	$0.685247\pi$
$32$	−2.72412	−	4.95774i	−0.481560	−	0.876413i
$33$	−0.844000	+	1.75258i	−0.146921	+	0.305086i
$34$	2.98501	−	9.53371i	0.511925	−	1.63502i
$35$	−4.18017	−	5.07529i	−0.706578	−	0.857880i
$36$	−1.97507	−	0.314816i	−0.329178	−	0.0524694i
$37$	−0.235480	−	1.03171i	−0.0387127	−	0.169611i	0.951876	−	0.306483i	$-0.0991523\pi$
$37$	−0.235480	−	1.03171i	−0.0387127	−	0.169611i	−0.990589	+	0.136872i	$0.956295\pi$
$38$	−0.643552	+	1.10385i	−0.104398	+	0.179068i
$39$	1.72759	−	3.58737i	0.276635	−	0.574439i
$40$	2.96915	+	6.37123i	0.469464	+	1.00738i
$41$	−4.84104	−	10.0525i	−0.756044	−	1.56994i	−0.820250	−	0.572005i	$-0.806166\pi$
$41$	−4.84104	−	10.0525i	−0.756044	−	1.56994i	0.0642061	−	0.997937i	$-0.479548\pi$
$42$	0.600377	+	3.69318i	0.0926401	+	0.569869i
$43$	−1.03831	+	2.15607i	−0.158341	+	0.328798i	−0.965013	−	0.262200i	$-0.915552\pi$
$43$	−1.03831	+	2.15607i	−0.158341	+	0.328798i	0.806673	+	0.590999i	$0.201266\pi$
$44$	−3.60935	−	1.45195i	−0.544130	−	0.218889i
$45$	2.42286	+	0.553002i	0.361178	+	0.0824366i
$46$	−2.35688	+	2.51865i	−0.347503	+	0.371354i
$47$	−1.73095	−	2.17054i	−0.252485	−	0.316606i	0.639395	−	0.768878i	$-0.279185\pi$
$47$	−1.73095	−	2.17054i	−0.252485	−	0.316606i	−0.891880	+	0.452272i	$0.850613\pi$
$48$	0.366412	−	3.98318i	0.0528871	−	0.574923i
$49$	6.20776	−	3.23477i	0.886822	−	0.462111i
$50$	−0.601072	−	1.55078i	−0.0850044	−	0.219313i
$51$	5.52290	−	4.40437i	0.773361	−	0.616735i
$52$	7.38799	+	2.97200i	1.02453	+	0.412142i
$53$	−1.09378	+	4.79217i	−0.150242	+	0.658255i	0.842571	+	0.538585i	$0.181041\pi$
$53$	−1.09378	+	4.79217i	−0.150242	+	0.658255i	−0.992814	+	0.119670i	$0.961816\pi$
$54$	−1.03261	−	0.966289i	−0.140521	−	0.131495i
$55$	4.35546	+	2.09748i	0.587290	+	0.282824i
$56$	−7.29051	+	1.68772i	−0.974236	+	0.225531i
$57$	−0.814028	+	0.392015i	−0.107821	+	0.0519237i
$58$	5.44378	+	1.70445i	0.714803	+	0.223806i
$59$	−3.03802	−	1.46303i	−0.395517	−	0.190471i	0.225545	−	0.974233i	$-0.427584\pi$
$59$	−3.03802	−	1.46303i	−0.395517	−	0.190471i	−0.621061	+	0.783762i	$0.713298\pi$
$60$	−0.782371	+	4.90837i	−0.101004	+	0.633668i
$61$	−6.43883	+	1.46962i	−0.824408	+	0.188166i	−0.613857	−	0.789417i	$-0.710383\pi$
$61$	−6.43883	+	1.46962i	−0.824408	+	0.188166i	−0.210551	+	0.977583i	$0.567526\pi$
$62$	4.35982	−	7.47814i	0.553698	−	0.949725i
$63$	−1.11017	+	2.40156i	−0.139869	+	0.302569i
$64$	7.99742	+	0.203161i	0.999677	+	0.0253951i
$65$	−8.91521	−	4.29334i	−1.10580	−	0.532523i
$66$	−1.54003	−	2.27949i	−0.189565	−	0.280585i
$67$		−	5.78844i		−	0.707171i	−0.935402	−	0.353586i	$-0.884962\pi$
$67$		−	5.78844i		−	0.707171i	0.935402	−	0.353586i	$-0.115038\pi$
$68$	9.52154	+	10.4376i	1.15466	+	1.26575i
$69$	−2.37795	+	0.542752i	−0.286272	+	0.0653397i
$70$	9.17816	−	1.49204i	1.09700	−	0.178332i
$71$	−0.509726	−	0.116342i	−0.0604934	−	0.0138072i	0.192167	−	0.981362i	$-0.438448\pi$
$71$	−0.509726	−	0.116342i	−0.0604934	−	0.0138072i	−0.252660	+	0.967555i	$0.581306\pi$
$72$	1.79143	−	2.18878i	0.211123	−	0.257950i
$73$	−6.52902	−	5.20672i	−0.764164	−	0.609400i	0.161883	−	0.986810i	$-0.448243\pi$
$73$	−6.52902	−	5.20672i	−0.764164	−	0.609400i	−0.926046	+	0.377410i	$0.876815\pi$
$74$	1.42821	+	0.447173i	0.166026	+	0.0519828i
$75$	0.261696	−	1.14657i	0.0302181	−	0.132394i
$76$	−0.890223	−	1.57251i	−0.102116	−	0.180379i
$77$	−3.14491	+	4.07391i	−0.358396	+	0.464265i
$78$	3.15230	+	4.66589i	0.356928	+	0.528308i
$79$			13.7207i			1.54370i	0.635804	+	0.771850i	$0.280668\pi$
$79$			13.7207i			1.54370i	−0.635804	+	0.771850i	$0.719332\pi$
$80$	−9.89887	−	0.910596i	−1.10673	−	0.101808i
$81$	−0.222521	−	0.974928i	−0.0247245	−	0.108325i
$82$	15.7298	+	1.24576i	1.73706	+	0.137572i
$83$	8.67672	−	10.8803i	0.952394	−	1.19426i	−0.0284748	−	0.999595i	$-0.509065\pi$
$83$	8.67672	−	10.8803i	0.952394	−	1.19426i	0.980869	−	0.194670i	$-0.0623635\pi$
$84$	−4.93974	−	1.89709i	−0.538970	−	0.206989i
$85$	−10.9456	−	13.7253i	−1.18722	−	1.48872i
$86$	−1.89459	−	2.80428i	−0.204299	−	0.302394i
$87$	2.51491	+	3.15360i	0.269627	+	0.338101i
$88$	4.34479	−	3.37549i	0.463156	−	0.359828i
$89$	10.0483	+	8.01329i	1.06512	+	0.849407i	0.989033	−	0.147694i	$-0.0471852\pi$
$89$	10.0483	+	8.01329i	1.06512	+	0.849407i	0.0760892	+	0.997101i	$0.475757\pi$
$90$	−2.40139	+	2.56621i	−0.253129	+	0.270502i
$91$	6.43734	−	8.33890i	0.674816	−	0.874154i
$92$	−1.39836	−	4.67349i	−0.145789	−	0.487245i
$93$	5.51473	−	2.65576i	0.571851	−	0.275389i
$94$	3.88477	−	0.568727i	0.400683	−	0.0586597i
$95$	0.974223	+	2.02300i	0.0999532	+	0.207555i
$96$	4.60543	+	3.28482i	0.470039	+	0.335256i
$97$			17.0403i			1.73018i	0.501619	+	0.865089i	$0.332738\pi$
$97$			17.0403i			1.73018i	−0.501619	+	0.865089i	$0.667262\pi$
$98$	−0.469635	+	9.88835i	−0.0474403	+	0.998874i
$99$		−	1.94522i		−	0.195502i
$100$	2.32278	+	0.370240i	0.232278	+	0.0370240i
$101$	5.37471	+	11.1607i	0.534804	+	1.11053i	0.976926	+	0.213577i	$0.0685115\pi$
$101$	5.37471	+	11.1607i	0.534804	+	1.11053i	−0.442122	+	0.896955i	$0.645774\pi$
$102$	1.44712	+	9.88472i	0.143286	+	0.978733i
$103$	−13.9801	+	6.73248i	−1.37750	+	0.663371i	−0.968466	−	0.249147i	$-0.919850\pi$
$103$	−13.9801	+	6.73248i	−1.37750	+	0.663371i	−0.409038	+	0.912517i	$0.634136\pi$
$104$	−8.89336	+	6.90930i	−0.872066	+	0.677513i
$105$	5.96829	+	2.75897i	0.582445	+	0.269248i
$106$	−5.07570	−	4.74970i	−0.492996	−	0.461332i
$107$	−1.33396	−	1.06380i	−0.128959	−	0.102841i	0.556886	−	0.830589i	$-0.311996\pi$
$107$	−1.33396	−	1.06380i	−0.128959	−	0.102841i	−0.685845	+	0.727748i	$0.740567\pi$
$108$	1.91607	−	0.573310i	0.184374	−	0.0551668i
$109$	3.06589	+	3.84450i	0.293659	+	0.368236i	0.906672	−	0.421836i	$-0.138614\pi$
$109$	3.06589	+	3.84450i	0.293659	+	0.368236i	−0.613013	+	0.790073i	$0.710043\pi$
$110$	−5.66491	+	3.82724i	−0.540128	+	0.364913i
$111$	0.659801	+	0.827364i	0.0626255	+	0.0785299i
$112$	3.13097	−	10.1093i	0.295849	−	0.955235i
$113$	−8.80202	+	11.0374i	−0.828025	+	1.03831i	0.170572	+	0.985345i	$0.445439\pi$
$113$	−8.80202	+	11.0374i	−0.828025	+	1.03831i	−0.998596	+	0.0529649i	$0.983133\pi$
$114$	0.100879	−	1.27376i	0.00944816	−	0.119298i
$115$	1.34883	+	5.90961i	0.125779	+	0.551074i
$116$	−5.95992	+	5.43683i	−0.553365	+	0.504797i
$117$			3.98168i			0.368107i
$118$	3.95138	−	2.66958i	0.363754	−	0.245754i
$119$	16.7088	−	8.37400i	1.53169	−	0.767643i
$120$	−5.43949	−	4.45201i	−0.496555	−	0.406411i
$121$	−1.60574	+	7.03519i	−0.145976	+	0.639563i
$122$	2.79078	−	8.91337i	0.252666	−	0.806978i
$123$	8.72326	+	6.95657i	0.786550	+	0.627253i
$124$	6.03092	+	10.6531i	0.541593	+	0.956680i
$125$	9.26488	+	2.11465i	0.828676	+	0.189140i
$126$	−2.14333	−	3.06694i	−0.190943	−	0.273225i
$127$	−8.49109	+	1.93803i	−0.753462	+	0.171973i	−0.581967	−	0.813212i	$-0.697717\pi$
$127$	−8.49109	+	1.93803i	−0.753462	+	0.171973i	−0.171495	+	0.985185i	$0.554860\pi$
$128$	−5.94465	+	9.62607i	−0.525438	+	0.850832i
$129$		−	2.39306i		−	0.210697i
$130$	11.5955	−	7.83400i	1.01699	−	0.687087i
$131$	−12.2003	−	5.87534i	−1.06594	−	0.513331i	−0.183146	−	0.983086i	$-0.558628\pi$
$131$	−12.2003	−	5.87534i	−1.06594	−	0.513331i	−0.882797	+	0.469755i	$0.844342\pi$
$132$	3.88189	−	0.257879i	0.337875	−	0.0224455i
$133$	−2.32182	+	0.568649i	−0.201328	+	0.0493081i
$134$	7.07198	+	4.12302i	0.610926	+	0.356175i
$135$	−2.42286	+	0.553002i	−0.208526	+	0.0475948i
$136$	−19.5341	+	4.19829i	−1.67504	+	0.360000i
$137$	1.67954	+	0.808824i	0.143493	+	0.0691025i	0.504252	−	0.863556i	$-0.331768\pi$
$137$	1.67954	+	0.808824i	0.143493	+	0.0691025i	−0.360759	+	0.932659i	$0.617482\pi$
$138$	1.03068	−	3.29184i	0.0877370	−	0.280220i
$139$	−12.8283	+	6.17777i	−1.08808	+	0.523992i	−0.889891	−	0.456172i	$-0.849220\pi$
$139$	−12.8283	+	6.17777i	−1.08808	+	0.523992i	−0.198188	+	0.980164i	$0.563506\pi$
$140$	−4.71458	+	12.2761i	−0.398455	+	1.03752i
$141$	2.50129	+	1.20456i	0.210647	+	0.101442i
$142$	0.505209	−	0.539885i	0.0423962	−	0.0453061i
$143$	−1.72348	+	7.55106i	−0.144125	+	0.631451i
$144$	1.39811	+	3.74770i	0.116509	+	0.312309i
$145$	7.83721	−	6.24997i	0.650845	−	0.519032i
$146$	11.0118	−	4.26810i	0.911341	−	0.353231i
$147$	−4.18948	+	5.60788i	−0.345542	+	0.462530i
$148$	−1.56362	+	1.42638i	−0.128529	+	0.117248i
$149$	−13.0298	−	16.3389i	−1.06744	−	1.33853i	−0.937880	−	0.346960i	$-0.887214\pi$
$149$	−13.0298	−	16.3389i	−1.06744	−	1.33853i	−0.129563	−	0.991571i	$-0.541358\pi$
$150$	1.21440	+	1.13641i	0.0991556	+	0.0927872i
$151$	13.7203	+	3.13156i	1.11654	+	0.254843i	0.740696	−	0.671840i	$-0.234496\pi$
$151$	13.7203	+	3.13156i	1.11654	+	0.254843i	0.375843	+	0.926683i	$0.377353\pi$
$152$	2.55529	+	0.0324511i	0.207261	+	0.00263213i
$153$	−3.06498	+	6.36450i	−0.247789	+	0.514539i
$154$	−2.73718	−	6.74405i	−0.220569	−	0.543451i
$155$	−6.60000	−	13.7050i	−0.530124	−	1.10081i
$156$	−7.94585	+	0.527853i	−0.636177	+	0.0422621i
$157$	−5.46326	+	11.3446i	−0.436016	+	0.905396i	0.560972	+	0.827835i	$0.310428\pi$
$157$	−5.46326	+	11.3446i	−0.436016	+	0.905396i	−0.996988	+	0.0775615i	$0.975287\pi$
$158$	−16.7631	−	9.77305i	−1.33360	−	0.777502i
$159$	−1.09378	−	4.79217i	−0.0867424	−	0.380043i
$160$	8.16333	−	11.4453i	0.645368	−	0.904826i
$161$	−6.45246	+	0.101876i	−0.508525	+	0.00802893i
$162$	1.34961	+	0.422563i	0.106035	+	0.0331997i
$163$	−7.80041	+	16.1977i	−0.610975	+	1.26870i	0.334312	+	0.942463i	$0.391496\pi$
$163$	−7.80041	+	16.1977i	−0.610975	+	1.26870i	−0.945287	+	0.326240i	$0.894218\pi$
$164$	−12.7261	+	18.3304i	−0.993741	+	1.43136i
$165$	−4.83420			−0.376342
$166$	7.11257	+	18.3506i	0.552042	+	1.42428i
$167$	2.00052	+	8.76484i	0.154805	+	0.678243i	0.991449	+	0.130497i	$0.0416572\pi$
$167$	2.00052	+	8.76484i	0.154805	+	0.678243i	−0.836644	+	0.547747i	$0.815486\pi$
$168$	5.83625	−	4.68382i	0.450277	−	0.361364i
$169$	0.635027	−	2.78224i	0.0488482	−	0.214018i
$170$	24.5652	−	3.59633i	1.88406	−	0.275826i
$171$	0.563325	−	0.706387i	0.0430785	−	0.0540188i
$172$	4.77560	−	0.317249i	0.364136	−	0.0241900i
$173$	5.82321	+	1.32911i	0.442730	+	0.101050i	0.438074	−	0.898939i	$-0.355661\pi$
$173$	5.82321	+	1.32911i	0.442730	+	0.101050i	0.00465617	+	0.999989i	$0.498518\pi$
$174$	−5.64421	+	0.826309i	−0.427886	+	0.0626423i
$175$	1.30562	−	2.82436i	0.0986957	−	0.213502i
$176$	1.02925	+	7.71251i	0.0775824	+	0.581352i
$177$	3.37195			0.253451
$178$	−16.9474	+	6.56873i	−1.27026	+	0.492347i
$179$	8.37996	−	1.91267i	0.626348	−	0.142960i	0.102446	−	0.994739i	$-0.467333\pi$
$179$	8.37996	−	1.91267i	0.626348	−	0.142960i	0.523902	+	0.851779i	$0.324476\pi$
$180$	−1.42477	−	4.76175i	−0.106196	−	0.354920i
$181$	−9.94899	−	7.93406i	−0.739503	−	0.589734i	0.179606	−	0.983739i	$-0.442518\pi$
$181$	−9.94899	−	7.93406i	−0.739503	−	0.589734i	−0.919108	+	0.394005i	$0.871089\pi$
$182$	5.60275	+	13.8044i	0.415304	+	1.02325i
$183$	5.16354	−	4.11779i	0.381700	−	0.304395i
$184$	6.70583	+	1.62042i	0.494360	+	0.119459i
$185$	2.05614	−	1.63971i	0.151170	−	0.120554i
$186$	−0.683416	+	8.62923i	−0.0501105	+	0.632726i
$187$	−8.56747	+	10.7433i	−0.626515	+	0.785626i
$188$	−2.07222	+	5.15127i	−0.151132	+	0.375695i
$189$	−0.0417677	−	2.64542i	−0.00303815	−	0.192426i
$190$	−3.16550	−	0.250701i	−0.229650	−	0.0181877i
$191$	2.96879	+	6.16476i	0.214814	+	0.446066i	0.980334	−	0.197346i	$-0.0632323\pi$
$191$	2.96879	+	6.16476i	0.214814	+	0.446066i	−0.765520	+	0.643412i	$0.777518\pi$
$192$	−7.29357	+	3.28691i	−0.526368	+	0.237212i
$193$	19.8857	−	9.57644i	1.43140	−	0.689327i	0.452145	−	0.891945i	$-0.350659\pi$
$193$	19.8857	−	9.57644i	1.43140	−	0.689327i	0.979258	+	0.202617i	$0.0649447\pi$
$194$	−20.8188	−	12.1375i	−1.49470	−	0.871424i
$195$	9.89514			0.708606
$196$	−11.7465	−	7.61709i	−0.839035	−	0.544078i
$197$	−3.94730			−0.281234			−0.140617	−	0.990064i	$-0.544909\pi$
$197$	−3.94730			−0.281234			−0.140617	+	0.990064i	$0.544909\pi$
$198$	2.37656	+	1.38555i	0.168894	+	0.0984668i
$199$	18.3633	−	8.84330i	1.30174	−	0.626885i	0.350855	−	0.936430i	$-0.385891\pi$
$199$	18.3633	−	8.84330i	1.30174	−	0.626885i	0.950885	+	0.309545i	$0.100177\pi$
$200$	−2.10682	+	2.57412i	−0.148975	+	0.182018i
$201$	2.51151	+	5.21521i	0.177148	+	0.367852i
$202$	−17.4638	−	1.38310i	−1.22875	−	0.0973142i
$203$	4.78158	+	9.54076i	0.335601	+	0.669630i
$204$	−13.1073	−	5.27273i	−0.917696	−	0.369165i
$205$	17.2882	−	21.6788i	1.20746	−	1.51411i
$206$	1.73249	−	21.8755i	0.120709	−	1.52414i
$207$	1.90697	−	1.52076i	0.132544	−	0.105700i
$208$	−2.10677	−	15.7868i	−0.146078	−	1.09462i
$209$	1.37408	−	1.09579i	0.0950470	−	0.0757975i
$210$	−7.62186	+	5.32653i	−0.525959	+	0.367566i
$211$	−18.0130	−	14.3649i	−1.24007	−	0.988919i	−0.999834	−	0.0182039i	$-0.994205\pi$
$211$	−18.0130	−	14.3649i	−1.24007	−	0.988919i	−0.240232	−	0.970716i	$-0.577223\pi$
$212$	9.41825	−	2.81805i	0.646848	−	0.193544i
$213$	0.509726	−	0.116342i	0.0349259	−	0.00797160i
$214$	2.24984	−	0.872026i	0.153796	−	0.0596104i
$215$	−5.94716			−0.405593
$216$	−0.664350	+	2.74930i	−0.0452033	+	0.187066i
$217$	15.7295	−	3.85238i	1.06779	−	0.261517i
$218$	−6.88077	+	1.00734i	−0.466024	+	0.0682257i
$219$	8.14155	+	1.85826i	0.550155	+	0.125569i
$220$	−0.640872	−	9.64713i	−0.0432076	−	0.650409i
$221$	17.5368	−	21.9904i	1.17965	−	1.47924i
$222$	−1.48079	+	0.216787i	−0.0993841	+	0.0145498i
$223$	−3.39503	+	14.8746i	−0.227348	+	0.996077i	0.724444	+	0.689333i	$0.242096\pi$
$223$	−3.39503	+	14.8746i	−0.227348	+	0.996077i	−0.951792	+	0.306743i	$0.900761\pi$
$224$	10.1207	+	11.0259i	0.676221	+	0.736699i
$225$	0.261696	+	1.14657i	0.0174464	+	0.0764377i
$226$	−7.21528	−	18.6156i	−0.479953	−	1.23829i
$227$	12.0223			0.797948			0.398974	−	0.916962i	$-0.369366\pi$
$227$	12.0223			0.797948			0.398974	+	0.916962i	$0.369366\pi$
$228$	1.48435	+	1.03053i	0.0983033	+	0.0682483i
$229$	−3.26637	+	6.78268i	−0.215848	+	0.448212i	−0.980576	−	0.196141i	$-0.937159\pi$
$229$	−3.26637	+	6.78268i	−0.215848	+	0.448212i	0.764728	+	0.644353i	$0.222873\pi$
$230$	−8.18076	−	2.56140i	−0.539423	−	0.168894i
$231$	1.06587	−	5.03499i	0.0701289	−	0.331278i
$232$	−2.39724	−	11.1541i	−0.157386	−	0.732299i
$233$	2.63897	+	11.5621i	0.172885	+	0.757457i	0.984801	+	0.173684i	$0.0555671\pi$
$233$	2.63897	+	11.5621i	0.172885	+	0.757457i	−0.811917	+	0.583773i	$0.801576\pi$
$234$	−4.86458	−	2.83609i	−0.318008	−	0.185401i
$235$	2.99353	−	6.21613i	0.195276	−	0.405496i
$236$	0.447021	+	6.72907i	0.0290986	+	0.438025i
$237$	−5.95319	−	12.3619i	−0.386701	−	0.802994i
$238$	−1.67054	+	26.3784i	−0.108285	+	1.70986i
$239$	9.73220	−	20.2091i	0.629524	−	1.30722i	−0.305351	−	0.952240i	$-0.598774\pi$
$239$	9.73220	−	20.2091i	0.629524	−	1.30722i	0.934874	−	0.354979i	$-0.115512\pi$
$240$	9.31367	−	3.47454i	0.601195	−	0.224281i
$241$	−4.49970	−	1.02703i	−0.289851	−	0.0661566i	0.0751231	−	0.997174i	$-0.476065\pi$
$241$	−4.49970	−	1.02703i	−0.289851	−	0.0661566i	−0.364974	+	0.931018i	$0.618922\pi$
$242$	−7.45144	−	6.97285i	−0.478997	−	0.448232i
$243$	0.623490	+	0.781831i	0.0399969	+	0.0501545i
$244$	8.90199	+	9.75847i	0.569892	+	0.624722i
$245$	13.9365	+	10.4116i	0.890370	+	0.665170i
$246$	−14.7126	+	5.70250i	−0.938039	+	0.363578i
$247$	−2.81261	+	2.24298i	−0.178962	+	0.142717i
$248$	−17.3111	−	0.219844i	−1.09926	−	0.0139601i
$249$	−3.09669	+	13.5675i	−0.196245	+	0.859803i
$250$	−9.18279	+	9.81305i	−0.580771	+	0.620632i
$251$	10.8794	+	5.23923i	0.686700	+	0.330697i	0.744492	−	0.667632i	$-0.232692\pi$
$251$	10.8794	+	5.23923i	0.686700	+	0.330697i	−0.0577922	+	0.998329i	$0.518406\pi$
$252$	5.27367	−	0.434056i	0.332210	−	0.0273430i
$253$	4.27474	−	2.05860i	0.268750	−	0.129423i
$254$	3.68029	−	11.7543i	0.230922	−	0.737533i
$255$	15.8168	+	7.61699i	0.990489	+	0.476994i
$256$	−7.52627	−	14.1193i	−0.470392	−	0.882458i
$257$	14.8656	−	3.39298i	0.927292	−	0.211648i	0.267899	−	0.963447i	$-0.413671\pi$
$257$	14.8656	−	3.39298i	0.927292	−	0.211648i	0.659393	+	0.751799i	$0.270813\pi$
$258$	2.92370	+	1.70454i	0.182022	+	0.106120i
$259$	1.25447	+	2.50307i	0.0779493	+	0.155533i
$260$	1.31180	+	19.7468i	0.0813546	+	1.22464i
$261$	−3.63415	−	1.75011i	−0.224948	−	0.108329i
$262$	15.8682	−	10.7207i	0.980342	−	0.662324i
$263$		−	15.8258i		−	0.975858i	−0.872883	−	0.487929i	$-0.837753\pi$
$263$		−	15.8258i		−	0.975858i	0.872883	−	0.487929i	$-0.162247\pi$
$264$	−2.44995	+	4.92634i	−0.150784	+	0.303195i
$265$	−11.9093	+	2.71823i	−0.731584	+	0.166979i
$266$	0.959058	−	3.24171i	0.0588036	−	0.198762i
$267$	−12.5301	−	2.85991i	−0.766828	−	0.175024i
$268$	−10.0745	+	5.70336i	−0.615400	+	0.348388i
$269$	18.5186	+	14.7681i	1.12910	+	0.900425i	0.995882	−	0.0906621i	$-0.0288983\pi$
$269$	18.5186	+	14.7681i	1.12910	+	0.900425i	0.133215	+	0.991087i	$0.457470\pi$
$270$	1.05014	−	3.35400i	0.0639095	−	0.204118i
$271$	−3.29816	+	14.4502i	−0.200349	+	0.877787i	0.770375	+	0.637591i	$0.220069\pi$
$271$	−3.29816	+	14.4502i	−0.200349	+	0.877787i	−0.970724	+	0.240196i	$0.922788\pi$
$272$	8.78463	−	26.8560i	0.532647	−	1.62838i
$273$	−2.18173	+	10.3061i	−0.132044	+	0.623756i
$274$	−2.18448	+	1.47585i	−0.131970	+	0.0891594i
$275$			2.28768i			0.137952i
$276$	3.28763	+	3.60394i	0.197892	+	0.216932i
$277$	−1.00598	−	4.40747i	−0.0604433	−	0.264819i	0.935673	−	0.352869i	$-0.114794\pi$
$277$	−1.00598	−	4.40747i	−0.0604433	−	0.264819i	−0.996116	+	0.0880494i	$0.971937\pi$
$278$	1.58975	−	20.0732i	0.0953468	−	1.20391i
$279$	−3.81631	+	4.78551i	−0.228477	+	0.286501i
$280$	−11.6401	−	14.5041i	−0.695627	−	0.866783i
$281$	−1.97006	−	2.47038i	−0.117524	−	0.147370i	0.719589	−	0.694400i	$-0.244330\pi$
$281$	−1.97006	−	2.47038i	−0.117524	−	0.147370i	−0.837113	+	0.547029i	$0.815759\pi$
$282$	−3.25329	+	2.19794i	−0.193731	+	0.130886i
$283$	−0.990116	−	1.24157i	−0.0588563	−	0.0738034i	0.751532	−	0.659697i	$-0.229315\pi$
$283$	−0.990116	−	1.24157i	−0.0588563	−	0.0738034i	−0.810388	+	0.585893i	$0.800744\pi$
$284$	0.299746	+	1.00179i	0.0177867	+	0.0594451i
$285$	−1.75549	−	1.39996i	−0.103986	−	0.0829263i
$286$	−7.99783	−	7.48415i	−0.472922	−	0.442547i
$287$	18.7674	+	22.7861i	1.10780	+	1.34502i
$288$	−5.57458	−	0.961302i	−0.328485	−	0.0566453i
$289$	29.6427	−	14.2752i	1.74369	−	0.839716i
$290$	2.05351	+	14.0268i	0.120587	+	0.823682i
$291$	−7.39350	−	15.3528i	−0.433415	−	0.899995i
$292$	−2.62901	+	16.4936i	−0.153851	+	0.965217i
$293$		−	23.7364i		−	1.38670i	−0.720602	−	0.693348i	$-0.756135\pi$
$293$		−	23.7364i		−	1.38670i	0.720602	−	0.693348i	$-0.243865\pi$
$294$	−3.86727	−	9.11286i	−0.225544	−	0.531473i
$295$		−	8.37985i		−	0.487894i
$296$	−0.628929	−	2.92633i	−0.0365558	−	0.170089i
$297$	0.844000	+	1.75258i	0.0489738	+	0.101695i
$298$	29.2428	−	4.28112i	1.69399	−	0.247999i
$299$	−8.74998	+	4.21377i	−0.506024	+	0.243688i
$300$	−2.25339	+	0.674242i	−0.130100	+	0.0389274i
$301$	1.31126	−	6.19417i	0.0755796	−	0.357026i
$302$	−13.5987	+	14.5320i	−0.782517	+	0.836225i
$303$	−9.68490	−	7.72345i	−0.556383	−	0.443701i
$304$	−1.85974	+	3.09878i	−0.106663	+	0.177727i
$305$	−10.2334	−	12.8323i	−0.585962	−	0.734773i
$306$	−5.59263	−	8.27795i	−0.319709	−	0.473219i
$307$	−3.12345	−	3.91668i	−0.178265	−	0.223537i	0.684669	−	0.728854i	$-0.259947\pi$
$307$	−3.12345	−	3.91668i	−0.178265	−	0.223537i	−0.862934	+	0.505317i	$0.831375\pi$
$308$	10.1891	+	1.45955i	0.580580	+	0.0831658i
$309$	9.67455	−	12.1315i	0.550366	−	0.690137i
$310$	21.4451	+	1.69840i	1.21800	+	0.0964627i
$311$	3.58947	+	15.7265i	0.203540	+	0.891768i	0.968760	+	0.247999i	$0.0797731\pi$
$311$	3.58947	+	15.7265i	0.203540	+	0.891768i	−0.765220	+	0.643769i	$0.777370\pi$
$312$	5.01481	−	10.0837i	0.283908	−	0.570880i
$313$		−	21.4408i		−	1.21190i	−0.795502	−	0.605951i	$-0.792793\pi$
$313$		−	21.4408i		−	1.21190i	0.795502	−	0.605951i	$-0.207207\pi$
$314$	−9.96874	−	14.7553i	−0.562569	−	0.832688i
$315$	−6.57431	+	0.103800i	−0.370421	+	0.00584844i
$316$	23.8803	−	13.5190i	1.34337	−	0.760505i
$317$	−2.06114	+	9.03045i	−0.115765	+	0.507201i	0.883484	+	0.468461i	$0.155191\pi$
$317$	−2.06114	+	9.03045i	−0.115765	+	0.507201i	−0.999249	+	0.0387395i	$0.987666\pi$
$318$	6.63387	+	2.07707i	0.372009	+	0.116476i
$319$	−6.13444	−	4.89206i	−0.343463	−	0.273903i
$320$	8.16852	+	18.1257i	0.456634	+	1.01326i
$321$	1.66342	+	0.379665i	0.0928430	+	0.0211908i
$322$	4.47153	−	7.95580i	0.249188	−	0.443360i
$323$	−6.22238	+	1.42022i	−0.346222	+	0.0790230i
$324$	−1.47757	+	1.34788i	−0.0820871	+	0.0748825i
$325$		−	4.68266i		−	0.259747i
$326$	−14.2333	−	21.0675i	−0.788309	−	1.16682i
$327$	−4.43033	−	2.13354i	−0.244998	−	0.117985i
$328$	−13.3304	−	28.6044i	−0.736047	−	1.57942i
$329$	5.81429	+	4.48843i	0.320552	+	0.247455i
$330$	3.44333	−	5.90614i	0.189549	−	0.325122i
$331$	−27.1626	+	6.19968i	−1.49299	+	0.340765i	−0.889622	−	0.456698i	$-0.849032\pi$
$331$	−27.1626	+	6.19968i	−1.49299	+	0.340765i	−0.603368	+	0.797463i	$0.706175\pi$
$332$	−27.4858	−	4.38111i	−1.50848	−	0.240444i
$333$	−0.953440	−	0.459152i	−0.0522482	−	0.0251614i
$334$	−12.1333	−	3.79895i	−0.663904	−	0.207869i
$335$	12.9607	−	6.24152i	0.708116	−	0.341011i
$336$	1.56534	+	10.4666i	0.0853961	+	0.571000i
$337$	9.13819	+	4.40072i	0.497789	+	0.239722i	0.665894	−	0.746047i	$-0.268050\pi$
$337$	9.13819	+	4.40072i	0.497789	+	0.239722i	−0.168105	+	0.985769i	$0.553765\pi$
$338$	2.94685	+	2.75758i	0.160288	+	0.149993i
$339$	3.14141	−	13.7634i	0.170618	−	0.747525i
$340$	−13.1036	+	32.5739i	−0.710644	+	1.76657i
$341$	−9.30887	+	7.42358i	−0.504104	+	0.402009i
$342$	0.461774	+	1.19139i	0.0249699	+	0.0644228i
$343$	−13.9168	+	12.2198i	−0.751436	+	0.659806i
$344$	−3.01399	+	6.06051i	−0.162503	+	0.326761i
$345$	−3.77934	−	4.73914i	−0.203473	−	0.255147i
$346$	−5.77161	+	6.16775i	−0.310284	+	0.331580i
$347$	−32.6296	−	7.44750i	−1.75165	−	0.399803i	−0.778075	−	0.628171i	$-0.783804\pi$
$347$	−32.6296	−	7.44750i	−1.75165	−	0.399803i	−0.973575	+	0.228369i	$0.926661\pi$
$348$	3.01075	−	7.48433i	0.161393	−	0.401202i
$349$	−8.35814	+	17.3559i	−0.447401	+	0.929037i	0.548289	+	0.836289i	$0.315279\pi$
$349$	−8.35814	+	17.3559i	−0.447401	+	0.929037i	−0.995690	+	0.0927483i	$0.970435\pi$
$350$	2.52067	+	3.60688i	0.134735	+	0.192796i
$351$	−1.72759	−	3.58737i	−0.0922118	−	0.191480i
$352$	−10.1558	−	4.23603i	−0.541306	−	0.225781i
$353$	−5.70773	+	11.8522i	−0.303792	+	0.630830i	−0.995850	−	0.0910115i	$-0.970990\pi$
$353$	−5.70773	+	11.8522i	−0.303792	+	0.630830i	0.692058	+	0.721842i	$0.256704\pi$
$354$	−2.40179	+	4.11965i	−0.127654	+	0.218957i
$355$	−0.289128	−	1.26675i	−0.0153453	−	0.0672323i
$356$	4.04612	−	25.3842i	0.214444	−	1.34536i
$357$	−11.4207	+	14.7944i	−0.604449	+	0.783001i
$358$	−3.63213	+	11.6005i	−0.191964	+	0.613106i
$359$	−13.4531	+	27.9357i	−0.710030	+	1.47439i	0.162949	+	0.986634i	$0.447899\pi$
$359$	−13.4531	+	27.9357i	−0.710030	+	1.47439i	−0.872979	+	0.487758i	$0.837815\pi$
$360$	6.83246	+	1.65102i	0.360102	+	0.0870164i
$361$	−18.1837			−0.957036
$362$	16.7799	−	6.50378i	0.881931	−	0.341831i
$363$	−1.60574	−	7.03519i	−0.0842793	−	0.369252i
$364$	−20.8562	−	2.98757i	−1.09316	−	0.156591i
$365$	4.61808	−	20.2331i	0.241721	−	1.05905i
$366$	1.35296	+	9.24154i	0.0707201	+	0.483063i
$367$	19.5050	−	24.4585i	1.01815	−	1.27673i	0.0576864	−	0.998335i	$-0.481628\pi$
$367$	19.5050	−	24.4585i	1.01815	−	1.27673i	0.960468	−	0.278390i	$-0.0898009\pi$
$368$	−6.75619	+	7.03858i	−0.352191	+	0.366912i
$369$	−10.8777	−	2.48277i	−0.566272	−	0.129248i
$370$	0.538751	+	3.68001i	0.0280083	+	0.191315i
$371$	−0.205305	−	13.0033i	−0.0106589	−	0.675099i
$372$	−10.0559	−	6.98143i	−0.521374	−	0.361970i
$373$	−15.1525			−0.784564			−0.392282	−	0.919845i	$-0.628314\pi$
$373$	−15.1525			−0.784564			−0.392282	+	0.919845i	$0.628314\pi$
$374$	−7.02301	−	18.1195i	−0.363151	−	0.936937i
$375$	−9.26488	+	2.11465i	−0.478437	+	0.109200i
$376$	−4.81751	−	6.20089i	−0.248444	−	0.319787i
$377$	12.5566	+	10.0136i	0.646699	+	0.515725i
$378$	3.26177	+	1.83326i	0.167767	+	0.0942929i
$379$	13.4731	−	10.7444i	0.692067	−	0.551905i	−0.213064	−	0.977038i	$-0.568344\pi$
$379$	13.4731	−	10.7444i	0.692067	−	0.551905i	0.905131	+	0.425133i	$0.139773\pi$
$380$	2.56103	−	3.68885i	0.131378	−	0.189234i
$381$	6.80932	−	5.43025i	0.348852	−	0.278200i
$382$	−9.64636	−	0.763970i	−0.493551	−	0.0390881i
$383$	−17.6282	+	22.1051i	−0.900761	+	1.12952i	0.0902745	+	0.995917i	$0.471226\pi$
$383$	−17.6282	+	22.1051i	−0.900761	+	1.12952i	−0.991035	+	0.133601i	$0.957346\pi$
$384$	1.17935	−	11.2521i	0.0601835	−	0.574205i
$385$	−12.5128	−	2.64886i	−0.637711	−	0.134998i
$386$	−2.46434	+	31.1163i	−0.125432	+	1.58378i
$387$	1.03831	+	2.15607i	0.0527803	+	0.109599i
$388$	29.6578	−	16.7898i	1.50565	−	0.852373i
$389$	26.6631	−	12.8403i	1.35188	−	0.651029i	0.389066	−	0.921210i	$-0.372798\pi$
$389$	26.6631	−	12.8403i	1.35188	−	0.651029i	0.962809	+	0.270181i	$0.0870836\pi$
$390$	−7.04816	+	12.0893i	−0.356897	+	0.612165i
$391$	−17.2300			−0.871358
$392$	17.6730	−	8.92562i	0.892619	−	0.450812i
$393$	13.5413			0.683067
$394$	2.81160	−	4.82258i	0.141647	−	0.242958i
$395$	−30.7215	+	14.7947i	−1.54576	+	0.744401i
$396$	−3.38557	+	1.91663i	−0.170131	+	0.0963142i
$397$	−3.96399	−	8.23131i	−0.198947	−	0.413118i	0.777498	−	0.628886i	$-0.216489\pi$
$397$	−3.96399	−	8.23131i	−0.198947	−	0.413118i	−0.976445	+	0.215768i	$0.930774\pi$
$398$	−2.27568	+	28.7341i	−0.114070	+	1.44031i
$399$	1.84516	−	1.51974i	0.0923737	−	0.0760820i
$400$	−1.64425	−	4.40749i	−0.0822126	−	0.220375i
$401$	−2.67059	+	3.34882i	−0.133363	+	0.167232i	−0.844029	−	0.536298i	$-0.819822\pi$
$401$	−2.67059	+	3.34882i	−0.133363	+	0.167232i	0.710666	+	0.703530i	$0.248394\pi$
$402$	−8.16054	−	0.646297i	−0.407011	−	0.0322344i
$403$	19.0544	−	15.1953i	0.949165	−	0.756934i
$404$	14.1290	−	20.3511i	0.702944	−	1.01251i
$405$	1.94298	−	1.54948i	0.0965475	−	0.0769941i
$406$	−15.0622	−	0.953887i	−0.747524	−	0.0473406i
$407$	−1.60941	−	1.28346i	−0.0797753	−	0.0636187i
$408$	15.7781	−	12.2581i	0.781131	−	0.606865i
$409$	−15.0216	+	3.42857i	−0.742768	+	0.169532i	−0.577127	−	0.816654i	$-0.695826\pi$
$409$	−15.0216	+	3.42857i	−0.742768	+	0.169532i	−0.165641	+	0.986186i	$0.552969\pi$
$410$	14.1717	+	36.5632i	0.699889	+	1.80573i
$411$	−1.86415			−0.0919517
$412$	25.4922	+	17.6983i	1.25591	+	0.871931i
$413$	8.72792	+	1.84763i	0.429473	+	0.0909159i
$414$	0.499666	+	3.41304i	0.0245573	+	0.167742i
$415$	33.7174	+	7.69578i	1.65512	+	0.377771i
$416$	20.7880	+	8.67075i	1.01921	+	0.425118i
$417$	8.87744	−	11.1320i	0.434730	−	0.545134i
$418$	0.360038	+	2.45928i	0.0176100	+	0.120288i
$419$	−0.292853	+	1.28307i	−0.0143068	+	0.0626821i	−0.981577	−	0.191065i	$-0.938806\pi$
$419$	−0.292853	+	1.28307i	−0.0143068	+	0.0626821i	0.967271	+	0.253747i	$0.0816631\pi$
$420$	−1.07870	−	13.1059i	−0.0526353	−	0.639505i
$421$	6.06636	+	26.5785i	0.295656	+	1.29536i	0.876524	+	0.481358i	$0.159856\pi$
$421$	6.06636	+	26.5785i	0.295656	+	1.29536i	−0.580868	+	0.813998i	$0.697287\pi$
$422$	30.3805	−	11.7753i	1.47890	−	0.573214i
$423$	−2.77623			−0.134985
$424$	−3.26555	+	13.5139i	−0.158589	+	0.656294i
$425$	3.60457	−	7.48498i	0.174848	−	0.363075i
$426$	−0.220931	+	0.705621i	−0.0107041	+	0.0341875i
$427$	15.6216	−	7.82912i	0.755980	−	0.378878i
$428$	−0.537139	+	3.36985i	−0.0259636	+	0.162888i
$429$	−1.72348	−	7.55106i	−0.0832104	−	0.364569i
$430$	4.23607	−	7.26588i	0.204281	−	0.350392i
$431$	−0.453460	+	0.941619i	−0.0218424	+	0.0453562i	−0.911605	−	0.411068i	$-0.865156\pi$
$431$	−0.453460	+	0.941619i	−0.0218424	+	0.0453562i	0.889762	+	0.456424i	$0.150870\pi$
$432$	−2.88572	−	2.76995i	−0.138839	−	0.133269i
$433$	−4.48409	−	9.31130i	−0.215491	−	0.447473i	0.765001	−	0.644029i	$-0.222738\pi$
$433$	−4.48409	−	9.31130i	−0.215491	−	0.447473i	−0.980493	+	0.196556i	$0.937024\pi$
$434$	−6.49726	+	21.9613i	−0.311878	+	1.05418i
$435$	−4.34933	+	9.03147i	−0.208534	+	0.433026i
$436$	3.67036	−	9.12403i	0.175778	−	0.436962i
$437$	2.14849	+	0.490378i	0.102776	+	0.0234580i
$438$	−8.06941	+	8.62326i	−0.385571	+	0.412035i
$439$	−2.42674	−	3.04304i	−0.115822	−	0.145236i	0.720541	−	0.693413i	$-0.243894\pi$
$439$	−2.42674	−	3.04304i	−0.115822	−	0.145236i	−0.836363	+	0.548176i	$0.815322\pi$
$440$	12.2428	+	6.08853i	0.583651	+	0.290259i
$441$	1.34142	−	6.87027i	0.0638774	−	0.327156i
$442$	14.3754	+	37.0889i	0.683769	+	1.76414i
$443$	−28.7050	+	22.8915i	−1.36382	+	1.08761i	−0.376921	+	0.926246i	$0.623017\pi$
$443$	−28.7050	+	22.8915i	−1.36382	+	1.08761i	−0.986895	+	0.161361i	$0.948412\pi$
$444$	0.789887	−	1.96356i	0.0374864	−	0.0931862i
$445$	−7.10735	+	31.1393i	−0.336921	+	1.47615i
$446$	−15.7547	−	14.7428i	−0.746005	−	0.698091i
$447$	18.8286	+	9.06738i	0.890563	+	0.428872i
$448$	−20.6796	+	4.51135i	−0.977021	+	0.213141i
$449$	−15.3831	+	7.40809i	−0.725971	+	0.349609i	−0.760098	−	0.649808i	$-0.774849\pi$
$449$	−15.3831	+	7.40809i	−0.725971	+	0.349609i	0.0341270	+	0.999418i	$0.489135\pi$
$450$	−1.58721	−	0.496956i	−0.0748217	−	0.0234267i
$451$	−19.5544	−	9.41690i	−0.920780	−	0.443424i
$452$	27.8827	+	4.44437i	1.31149	+	0.209046i
$453$	−13.7203	+	3.13156i	−0.644634	+	0.147134i
$454$	−8.56330	+	14.6881i	−0.401896	+	0.689348i
$455$	25.6125	+	5.42196i	1.20073	+	0.254185i
$456$	−2.31631	+	1.07946i	−0.108471	+	0.0505503i
$457$	27.4083	+	13.1991i	1.28210	+	0.617429i	0.945930	−	0.324371i	$-0.105152\pi$
$457$	27.4083	+	13.1991i	1.28210	+	0.617429i	0.336175	+	0.941800i	$0.390867\pi$
$458$	−5.96009	−	8.82185i	−0.278497	−	0.412218i
$459$		−	7.06406i		−	0.329722i
$460$	8.95640	−	8.17032i	0.417594	−	0.380943i
$461$	6.47247	−	1.47730i	0.301453	−	0.0688047i	−0.0691190	−	0.997608i	$-0.522019\pi$
$461$	6.47247	−	1.47730i	0.301453	−	0.0688047i	0.370572	+	0.928804i	$0.379162\pi$
$462$	5.39225	+	4.88856i	0.250870	+	0.227436i
$463$	21.0589	+	4.80655i	0.978689	+	0.223379i	0.681805	−	0.731534i	$-0.261195\pi$
$463$	21.0589	+	4.80655i	0.978689	+	0.223379i	0.296884	+	0.954914i	$0.404053\pi$
$464$	15.3349	+	5.01606i	0.711904	+	0.232865i
$465$	11.8928	+	9.48418i	0.551515	+	0.439818i
$466$	−16.0056	−	5.01136i	−0.741443	−	0.232147i
$467$	8.61677	−	37.7525i	0.398737	−	1.74698i	−0.233645	−	0.972322i	$-0.575065\pi$
$467$	8.61677	−	37.7525i	0.398737	−	1.74698i	0.632381	−	0.774657i	$-0.282078\pi$
$468$	6.92994	−	3.92315i	0.320336	−	0.181348i
$469$	3.64314	+	14.8752i	0.168225	+	0.686871i
$470$	5.46225	+	8.08497i	0.251955	+	0.372932i
$471$		−	12.5915i		−	0.580188i
$472$	−8.53958	−	4.24687i	−0.393066	−	0.195478i
$473$	1.03584	+	4.53832i	0.0476281	+	0.208672i
$474$	19.3434	+	1.53196i	0.888474	+	0.0703651i
$475$	−0.662499	+	0.830748i	−0.0303976	+	0.0381173i
$476$	−31.0377	−	20.8299i	−1.42261	−	0.954739i
$477$	3.06470	+	3.84302i	0.140323	+	0.175960i
$478$	17.7582	+	26.2849i	0.812241	+	1.20224i
$479$	21.4932	+	26.9516i	0.982048	+	1.23145i	0.972837	+	0.231492i	$0.0743608\pi$
$479$	21.4932	+	26.9516i	0.982048	+	1.23145i	0.00921172	+	0.999958i	$0.497068\pi$
$480$	−2.38900	+	13.8537i	−0.109042	+	0.632334i
$481$	3.29430	+	2.62712i	0.150207	+	0.119786i
$482$	4.45983	−	4.76593i	0.203139	−	0.217082i
$483$	5.76927	−	2.89141i	0.262511	−	0.131564i
$484$	13.8266	−	4.13707i	0.628480	−	0.188049i
$485$	−38.1542	+	18.3741i	−1.73249	+	0.834324i
$486$	−1.39930	+	0.204856i	−0.0634734	+	0.00929247i
$487$	6.78733	+	14.0940i	0.307563	+	0.638662i	0.996262	−	0.0863859i	$-0.0275318\pi$
$487$	6.78733	+	14.0940i	0.307563	+	0.638662i	−0.688698	+	0.725048i	$0.741818\pi$
$488$	−18.2631	+	3.92512i	−0.826731	+	0.177682i
$489$		−	17.9781i		−	0.812998i
$490$	−22.6470	+	9.61080i	−1.02309	+	0.434172i
$491$			36.3197i			1.63909i	0.573017	+	0.819543i	$0.305773\pi$
$491$			36.3197i			1.63909i	−0.573017	+	0.819543i	$0.694227\pi$
$492$	3.51255	−	22.0367i	0.158358	−	0.993493i
$493$	12.3629	+	25.6719i	0.556798	+	1.15620i
$494$	−0.736963	−	5.03392i	−0.0331575	−	0.226487i
$495$	4.35546	−	2.09748i	0.195763	−	0.0942747i
$496$	12.5990	−	20.9931i	0.565713	−	0.942618i
$497$	1.38312	−	0.0218376i	0.0620413	−	0.000979549i
$498$	−14.3702	−	13.4472i	−0.643944	−	0.602586i
$499$	−28.3445	−	22.6040i	−1.26887	−	1.01189i	−0.998796	−	0.0490553i	$-0.984379\pi$
$499$	−28.3445	−	22.6040i	−1.26887	−	1.01189i	−0.270078	−	0.962838i	$-0.587050\pi$
$500$	−5.44825	−	18.2087i	−0.243653	−	0.814317i
$501$	−5.60532	−	7.02885i	−0.250427	−	0.314026i
$502$	−14.1502	+	9.55995i	−0.631554	+	0.426681i
$503$	2.57382	+	3.22747i	0.114761	+	0.143906i	0.835894	−	0.548891i	$-0.184950\pi$
$503$	2.57382	+	3.22747i	0.114761	+	0.143906i	−0.721133	+	0.692797i	$0.756378\pi$
$504$	−3.22605	+	6.75223i	−0.143700	+	0.300768i
$505$	−19.1941	+	24.0686i	−0.854124	+	1.07104i
$506$	−0.529749	+	6.68893i	−0.0235502	+	0.297359i
$507$	0.635027	+	2.78224i	0.0282025	+	0.123563i
$508$	11.7393	+	12.8688i	0.520849	+	0.570961i
$509$		−	36.2625i		−	1.60731i	−0.595096	−	0.803654i	$-0.702886\pi$
$509$		−	36.2625i		−	1.60731i	0.595096	−	0.803654i	$-0.297114\pi$
$510$	−20.5721	+	13.8986i	−0.910947	+	0.615441i
$511$	20.0553	+	9.27098i	0.887194	+	0.410124i
$512$	22.6110	+	0.861822i	0.999274	+	0.0380875i
$513$	−0.201048	+	0.880850i	−0.00887650	+	0.0388905i
$514$	−6.44321	+	20.5787i	−0.284198	+	0.907688i
$515$	−30.1488	−	24.0429i	−1.32852	−	1.05946i
$516$	−4.16501	+	2.35789i	−0.183355	+	0.103800i
$517$	−5.26497	−	1.20170i	−0.231553	−	0.0528505i
$518$	−3.95165	−	0.250258i	−0.173625	−	0.0109957i
$519$	−5.82321	+	1.32911i	−0.255610	+	0.0583414i
$520$	−25.0598	−	12.4626i	−1.09894	−	0.546522i
$521$		−	43.6232i		−	1.91117i	−0.294717	−	0.955584i	$-0.595226\pi$
$521$		−	43.6232i		−	1.91117i	0.294717	−	0.955584i	$-0.404774\pi$
$522$	4.72674	−	3.19341i	0.206884	−	0.139772i
$523$	14.7682	+	7.11201i	0.645770	+	0.310986i	0.727949	−	0.685631i	$-0.240474\pi$
$523$	14.7682	+	7.11201i	0.645770	+	0.310986i	−0.0821791	+	0.996618i	$0.526188\pi$
$524$	1.79517	+	27.0230i	0.0784226	+	1.18051i
$525$	0.0491209	+	3.11115i	0.00214381	+	0.135782i
$526$	19.3350	+	11.2724i	0.843045	+	0.491502i
$527$	42.1543	−	9.62144i	1.83627	−	0.419116i
$528$	−4.27365	−	6.50216i	−0.185987	−	0.282970i
$529$	−15.3622	−	7.39805i	−0.667922	−	0.321654i
$530$	5.16186	−	16.4863i	0.224217	−	0.716118i
$531$	−3.03802	+	1.46303i	−0.131839	+	0.0634902i
$532$	3.27740	+	3.48074i	0.142093	+	0.150909i
$533$	40.0260	+	19.2755i	1.73372	+	0.834914i
$534$	12.4191	−	13.2714i	0.537425	−	0.574311i
$535$	0.943530	−	4.13387i	0.0407923	−	0.178723i
$536$	0.207903	−	16.3709i	0.00898006	−	0.707114i
$537$	−6.72021	+	5.35919i	−0.289998	+	0.231266i
$538$	−31.2332	+	12.1058i	−1.34656	+	0.521919i
$539$	5.51776	−	12.4485i	0.237667	−	0.536194i
$540$	3.34972	+	3.67200i	0.144149	+	0.158018i
$541$	1.36230	+	1.70828i	0.0585700	+	0.0734445i	0.810254	−	0.586079i	$-0.199329\pi$
$541$	1.36230	+	1.70828i	0.0585700	+	0.0734445i	−0.751684	+	0.659524i	$0.770758\pi$
$542$	−15.3052	−	14.3222i	−0.657413	−	0.615189i
$543$	12.4062	+	2.83163i	0.532401	+	0.121517i
$544$	26.5539	+	29.8617i	1.13849	+	1.28031i
$545$	−5.30219	+	11.0101i	−0.227121	+	0.471622i
$546$	−11.0374	−	10.0064i	−0.472358	−	0.428235i
$547$	−16.6567	−	34.5880i	−0.712189	−	1.47888i	−0.870853	−	0.491543i	$-0.836433\pi$
$547$	−16.6567	−	34.5880i	−0.712189	−	1.47888i	0.158665	−	0.987333i	$-0.449281\pi$
$548$	−0.247131	−	3.72010i	−0.0105569	−	0.158915i
$549$	−2.86555	+	5.95037i	−0.122299	+	0.253956i
$550$	−2.79495	−	1.62948i	−0.119177	−	0.0694812i
$551$	−0.810949	−	3.55300i	−0.0345476	−	0.151363i
$552$	−6.74482	+	1.44960i	−0.287078	+	0.0616992i
$553$	−8.63557	−	35.2595i	−0.367222	−	1.49939i
$554$	6.10133	+	1.91033i	0.259221	+	0.0811623i
$555$	−1.14107	+	2.36946i	−0.0484357	+	0.100578i
$556$	23.3918	+	16.2401i	0.992035	+	0.688732i
$557$	−28.1356			−1.19214			−0.596071	−	0.802932i	$-0.703272\pi$
$557$	−28.1356			−1.19214			−0.596071	+	0.802932i	$0.703272\pi$
$558$	−3.12835	−	8.07119i	−0.132433	−	0.341681i
$559$	−2.12027	−	9.28951i	−0.0896779	−	0.392904i
$560$	26.0112	−	3.89012i	1.09918	−	0.164388i
$561$	3.05769	−	13.3966i	0.129096	−	0.565606i
$562$	4.42141	−	0.647291i	0.186506	−	0.0273043i
$563$	18.0563	−	22.6419i	0.760982	−	0.954241i	−0.238877	−	0.971050i	$-0.576779\pi$
$563$	18.0563	−	22.6419i	0.760982	−	0.954241i	0.999859	+	0.0168085i	$0.00535056\pi$
$564$	−0.368046	−	5.54024i	−0.0154975	−	0.233286i
$565$	−34.2043	−	7.80692i	−1.43899	−	0.328439i
$566$	2.22212	−	0.325316i	0.0934025	−	0.0136741i
$567$	1.18544	+	2.36532i	0.0497837	+	0.0993341i
$568$	−1.43743	−	0.347345i	−0.0603131	−	0.0145743i
$569$	−16.5619			−0.694311			−0.347156	−	0.937808i	$-0.612852\pi$
$569$	−16.5619			−0.694311			−0.347156	+	0.937808i	$0.612852\pi$
$570$	2.96079	−	1.14759i	0.124014	−	0.0480671i
$571$	−19.7243	+	4.50195i	−0.825438	+	0.188401i	−0.614317	−	0.789059i	$-0.710568\pi$
$571$	−19.7243	+	4.50195i	−0.825438	+	0.188401i	−0.211121	+	0.977460i	$0.567711\pi$
$572$	14.8404	−	4.44043i	0.620509	−	0.185664i
$573$	−5.34958	−	4.26614i	−0.223482	−	0.178221i
$574$	−41.2065	+	6.69868i	−1.71993	+	0.279598i
$575$	−2.24269	+	1.78849i	−0.0935268	+	0.0745852i
$576$	5.14515	−	6.12597i	0.214381	−	0.255249i
$577$	−28.4042	+	22.6516i	−1.18248	+	0.942999i	−0.999197	−	0.0400601i	$-0.987245\pi$
$577$	−28.4042	+	22.6516i	−1.18248	+	0.942999i	−0.183287	+	0.983060i	$0.558674\pi$
$578$	−3.67349	+	46.3837i	−0.152797	+	1.92931i
$579$	−13.7613	+	17.2561i	−0.571901	+	0.717141i
$580$	−18.5998	−	7.48221i	−0.772315	−	0.310682i
$581$	−15.4496	+	33.4211i	−0.640958	+	1.38654i
$582$	24.0234	+	1.90260i	0.995800	+	0.0788652i
$583$	4.14860	+	8.61466i	0.171817	+	0.356783i
$584$	−18.2784	−	14.9601i	−0.756364	−	0.619055i
$585$	−8.91521	+	4.29334i	−0.368599	+	0.177508i
$586$	28.9998	+	16.9071i	1.19797	+	0.698426i
$587$	17.2057			0.710154			0.355077	−	0.934837i	$-0.384455\pi$
$587$	17.2057			0.710154			0.355077	+	0.934837i	$0.384455\pi$
$588$	13.8881	+	1.76615i	0.572738	+	0.0728350i
$589$	−5.53025			−0.227870
$590$	10.2380	+	5.96884i	0.421492	+	0.245733i
$591$	3.55640	−	1.71267i	0.146291	−	0.0704499i
$592$	4.02319	+	1.31599i	0.165352	+	0.0540869i
$593$	−11.6695	−	24.2320i	−0.479209	−	0.995088i	−0.990734	−	0.135819i	$-0.956633\pi$
$593$	−11.6695	−	24.2320i	−0.479209	−	0.995088i	0.511525	−	0.859269i	$-0.329081\pi$
$594$	−2.74237	−	0.217190i	−0.112521	−	0.00891140i
$595$	36.7665	+	28.3824i	1.50728	+	1.16357i
$596$	−15.5988	+	38.7765i	−0.638950	+	1.58835i
$597$	−12.7078	+	15.9351i	−0.520096	+	0.652179i
$598$	1.08434	−	13.6916i	0.0443421	−	0.559891i
$599$	−1.80424	+	1.43884i	−0.0737194	+	0.0587892i	−0.659656	−	0.751567i	$-0.729298\pi$
$599$	−1.80424	+	1.43884i	−0.0737194	+	0.0587892i	0.585937	+	0.810357i	$0.300727\pi$
$600$	0.781310	−	3.23332i	0.0318968	−	0.132000i
$601$	−18.3257	+	14.6143i	−0.747523	+	0.596129i	−0.921390	−	0.388640i	$-0.872945\pi$
$601$	−18.3257	+	14.6143i	−0.747523	+	0.596129i	0.173867	+	0.984769i	$0.444374\pi$
$602$	6.63369	+	6.01403i	0.270369	+	0.245114i
$603$	−4.52559	−	3.60904i	−0.184296	−	0.146971i
$604$	−8.06825	−	26.9650i	−0.328292	−	1.09719i
$605$	−17.4836	+	3.99052i	−0.710810	+	0.162238i
$606$	16.3345	−	6.33114i	0.663542	−	0.257185i
$607$	23.1466			0.939493			0.469747	−	0.882801i	$-0.344345\pi$
$607$	23.1466			0.939493			0.469747	+	0.882801i	$0.344345\pi$
$608$	−2.46125	−	4.47933i	−0.0998167	−	0.181661i
$609$	−8.44764	−	6.52128i	−0.342316	−	0.264256i
$610$	22.9668	−	3.36232i	0.929897	−	0.136136i
$611$	10.7769	+	2.45976i	0.435987	+	0.0995111i
$612$	14.0970	−	0.936486i	0.569839	−	0.0378552i
$613$	20.1955	−	25.3243i	0.815687	−	1.02284i	−0.183520	−	0.983016i	$-0.558749\pi$
$613$	20.1955	−	25.3243i	0.815687	−	1.02284i	0.999207	−	0.0398231i	$-0.0126794\pi$
$614$	7.00995	−	1.02625i	0.282899	−	0.0414162i
$615$	−6.17010	+	27.0330i	−0.248802	+	1.09007i
$616$	−9.04076	+	11.4089i	−0.364263	+	0.459676i
$617$	3.42469	+	15.0045i	0.137873	+	0.604059i	0.995900	+	0.0904562i	$0.0288325\pi$
$617$	3.42469	+	15.0045i	0.137873	+	0.604059i	−0.858028	+	0.513603i	$0.828310\pi$
$618$	7.93052	+	20.4609i	0.319012	+	0.823057i
$619$	24.6469			0.990644			0.495322	−	0.868709i	$-0.335050\pi$
$619$	24.6469			0.990644			0.495322	+	0.868709i	$0.335050\pi$
$620$	−17.3500	+	24.9906i	−0.696793	+	1.00365i
$621$	−1.05829	+	2.19756i	−0.0424677	+	0.0881850i
$622$	−21.7704	−	6.81634i	−0.872915	−	0.273311i
$623$	−30.8657	−	14.2683i	−1.23661	−	0.571648i
$624$	8.74776	+	13.3093i	0.350191	+	0.532798i
$625$	6.56374	+	28.7576i	0.262549	+	1.15030i
$626$	26.1950	+	15.2719i	1.04696	+	0.610389i
$627$	−0.762556	+	1.58346i	−0.0304536	+	0.0632375i
$628$	25.1277	−	1.66927i	1.00270	−	0.0666110i
$629$	3.24348	+	6.73516i	0.129326	+	0.268548i
$630$	4.55597	−	8.10604i	0.181514	−	0.322952i
$631$	−11.1951	+	23.2468i	−0.445669	+	0.925442i	0.550233	+	0.835011i	$0.314539\pi$
$631$	−11.1951	+	23.2468i	−0.445669	+	0.925442i	−0.995903	+	0.0904312i	$0.971175\pi$
$632$	−0.492807	+	38.8049i	−0.0196028	+	1.54358i
$633$	22.4618	+	5.12677i	0.892778	+	0.203771i
$634$	−9.56475	−	8.95043i	−0.379865	−	0.355467i
$635$	−13.4951	−	16.9223i	−0.535536	−	0.671541i
$636$	−7.26284	+	6.62540i	−0.287990	+	0.262714i
$637$	−11.2943	+	25.4809i	−0.447497	+	1.00959i
$638$	10.3463	−	4.01016i	0.409614	−	0.158764i
$639$	−0.408769	+	0.325982i	−0.0161706	+	0.0128957i
$640$	−27.9633	−	2.93088i	−1.10535	−	0.115853i
$641$	−3.21098	+	14.0682i	−0.126826	+	0.555662i	0.871089	+	0.491125i	$0.163414\pi$
$641$	−3.21098	+	14.0682i	−0.126826	+	0.555662i	−0.997915	+	0.0645369i	$0.979443\pi$
$642$	−1.64868	+	1.76184i	−0.0650682	+	0.0695342i
$643$	6.25218	+	3.01089i	0.246562	+	0.118738i	0.553084	−	0.833126i	$-0.313451\pi$
$643$	6.25218	+	3.01089i	0.246562	+	0.118738i	−0.306522	+	0.951864i	$0.599165\pi$
$644$	6.53493	+	11.1298i	0.257512	+	0.438577i
$645$	5.35820	−	2.58037i	0.210979	−	0.101602i
$646$	2.69697	−	8.61373i	0.106111	−	0.338903i
$647$	2.68755	+	1.29426i	0.105658	+	0.0508824i	0.485966	−	0.873977i	$-0.338468\pi$
$647$	2.68755	+	1.29426i	0.105658	+	0.0508824i	−0.380308	+	0.924860i	$0.624182\pi$
$648$	−0.594317	−	2.76528i	−0.0233470	−	0.108631i
$649$	−6.39473	+	1.45956i	−0.251015	+	0.0572926i
$650$	5.72100	+	3.33539i	0.224396	+	0.130825i
$651$	−12.5003	+	10.2956i	−0.489925	+	0.403518i
$652$	35.8771	−	2.38337i	1.40506	−	0.0933398i
$653$	16.7556	+	8.06907i	0.655697	+	0.315767i	0.731987	−	0.681319i	$-0.238593\pi$
$653$	16.7556	+	8.06907i	0.655697	+	0.315767i	−0.0762898	+	0.997086i	$0.524307\pi$
$654$	5.76229	−	3.89303i	0.225323	−	0.152230i
$655$		−	33.6523i		−	1.31491i
$656$	44.4422	+	4.08824i	1.73518	+	0.159619i
$657$	−8.14155	+	1.85826i	−0.317632	+	0.0724975i
$658$	−9.62513	+	3.90652i	−0.375227	+	0.152292i
$659$	33.2157	+	7.58127i	1.29390	+	0.295325i	0.813418	−	0.581679i	$-0.197604\pi$
$659$	33.2157	+	7.58127i	1.29390	+	0.295325i	0.480483	+	0.877004i	$0.340461\pi$
$660$	4.76314	+	8.41370i	0.185405	+	0.327503i
$661$	−27.1983	−	21.6900i	−1.05789	−	0.843641i	−0.0698093	−	0.997560i	$-0.522239\pi$
$661$	−27.1983	−	21.6900i	−1.05789	−	0.843641i	−0.988083	+	0.153919i	$0.950810\pi$
$662$	11.7731	−	37.6016i	0.457574	−	1.46143i
$663$	−6.25881	+	27.4216i	−0.243072	+	1.06497i
$664$	24.9303	−	30.4599i	0.967483	−	1.18207i
$665$	−3.77680	−	4.58554i	−0.146458	−	0.177820i
$666$	1.24009	−	0.837809i	0.0480524	−	0.0324644i
$667$		−	9.83838i		−	0.380944i
$668$	13.2837	−	12.1178i	0.513961	−	0.468852i
$669$	−3.39503	−	14.8746i	−0.131259	−	0.575085i
$670$	−1.60616	+	20.2803i	−0.0620512	+	0.783497i
$671$	−8.01000	+	10.0442i	−0.309223	+	0.387753i
$672$	−13.9024	−	5.54276i	−0.536298	−	0.213817i
$673$	−15.1669	−	19.0187i	−0.584642	−	0.733118i	0.398255	−	0.917275i	$-0.369616\pi$
$673$	−15.1669	−	19.0187i	−0.584642	−	0.733118i	−0.982897	+	0.184157i	$0.941045\pi$
$674$	−11.8855	+	8.02993i	−0.457813	+	0.309301i
$675$	−0.733256	−	0.919474i	−0.0282230	−	0.0353906i
$676$	−5.46805	+	1.63610i	−0.210309	+	0.0629270i
$677$	26.7166	+	21.3057i	1.02680	+	0.818846i	0.983626	−	0.180221i	$-0.0576813\pi$
$677$	26.7166	+	21.3057i	1.02680	+	0.818846i	0.0431748	+	0.999068i	$0.486253\pi$
$678$	14.5777	+	13.6414i	0.559854	+	0.523896i
$679$	−10.7248	−	43.7901i	−0.411582	−	1.68051i
$680$	−30.4633	−	39.2111i	−1.16822	−	1.50368i
$681$	−10.8317	+	5.21628i	−0.415072	+	0.199888i
$682$	−2.43912	−	16.6607i	−0.0933987	−	0.637972i
$683$	9.17870	+	19.0598i	0.351213	+	0.729302i	0.999484	−	0.0321076i	$-0.0102219\pi$
$683$	9.17870	+	19.0598i	0.351213	+	0.729302i	−0.648271	+	0.761410i	$0.724508\pi$
$684$	−1.78448	−	0.284438i	−0.0682313	−	0.0108757i
$685$			4.63272i			0.177007i
$686$	−5.01668	−	25.7067i	−0.191538	−	0.981485i
$687$		−	7.52821i		−	0.287219i
$688$	−5.25756	−	7.99912i	−0.200442	−	0.304964i
$689$	−8.49179	−	17.6334i	−0.323511	−	0.671778i
$690$	8.48196	−	1.24175i	0.322903	−	0.0472727i
$691$	14.0157	−	6.74961i	0.533183	−	0.256767i	−0.147863	−	0.989008i	$-0.547240\pi$
$691$	14.0157	−	6.74961i	0.533183	−	0.256767i	0.681046	+	0.732240i	$0.261525\pi$
$692$	−3.42436	−	11.4446i	−0.130175	−	0.435058i
$693$	1.22429	+	4.99883i	0.0465068	+	0.189890i
$694$	32.3405	−	34.5602i	1.22763	−	1.31189i
$695$	−27.6648	−	22.0619i	−1.04938	−	0.836856i
$696$	6.99940	+	9.00933i	0.265312	+	0.341498i
$697$	49.1416	+	61.6216i	1.86137	+	2.33409i
$698$	−15.2510	−	22.5738i	−0.577258	−	0.854430i
$699$	−7.39423	−	9.27207i	−0.279675	−	0.350702i
$700$	−6.20211	+	0.510473i	−0.234418	+	0.0192941i
$701$	4.27008	−	5.35450i	0.161279	−	0.202237i	−0.694626	−	0.719371i	$-0.744430\pi$
$701$	4.27008	−	5.35450i	0.161279	−	0.202237i	0.855904	+	0.517135i	$0.173001\pi$
$702$	5.61337	+	0.444566i	0.211863	+	0.0167791i
$703$	−0.212757	−	0.932150i	−0.00802429	−	0.0351567i
$704$	12.4092	−	9.39050i	0.467688	−	0.353918i
$705$			6.89938i			0.259846i
$706$	−10.4148	−	15.4155i	−0.391967	−	0.580171i
$707$	−20.8363	−	25.2981i	−0.783630	−	0.951431i
$708$	−3.32238	−	5.86872i	−0.124863	−	0.220560i
$709$	−0.711945	+	3.11923i	−0.0267376	+	0.117145i	−0.986536	−	0.163546i	$-0.947707\pi$
$709$	−0.711945	+	3.11923i	−0.0267376	+	0.117145i	0.959798	+	0.280692i	$0.0905638\pi$
$710$	1.75359	+	0.549050i	0.0658109	+	0.0206055i
$711$	10.7273	+	8.55472i	0.402305	+	0.320827i
$712$	28.1309	+	23.0241i	1.05425	+	0.862864i
$713$	−14.5552	−	3.32213i	−0.545096	−	0.124415i
$714$	−9.94007	−	24.4910i	−0.371998	−	0.916552i
$715$	−18.7656	+	4.28313i	−0.701795	+	0.160180i
$716$	−11.5857	−	12.7004i	−0.432978	−	0.474636i
$717$			22.4304i			0.837680i
$718$	−24.5478	−	36.3345i	−0.916114	−	1.35599i
$719$	7.40551	+	3.56631i	0.276179	+	0.133001i	0.566847	−	0.823823i	$-0.308163\pi$
$719$	7.40551	+	3.56631i	0.276179	+	0.133001i	−0.290668	+	0.956824i	$0.593877\pi$
$720$	−6.88378	+	7.17150i	−0.256543	+	0.267266i
$721$	31.6889	−	26.1000i	1.18015	−	0.972014i
$722$	12.9520	−	22.2157i	0.482022	−	0.826784i
$723$	4.49970	−	1.02703i	0.167346	−	0.0381955i
$724$	−4.00611	+	25.1332i	−0.148886	+	0.934068i
$725$	4.27395	+	2.05822i	0.158730	+	0.0764406i
$726$	9.73892	+	3.04927i	0.361445	+	0.113169i
$727$	−10.9840	+	5.28964i	−0.407376	+	0.196182i	−0.626338	−	0.779552i	$-0.715447\pi$
$727$	−10.9840	+	5.28964i	−0.407376	+	0.196182i	0.218962	+	0.975733i	$0.429733\pi$
$728$	18.5056	−	23.3529i	0.685862	−	0.865514i
$729$	−0.900969	−	0.433884i	−0.0333692	−	0.0160698i
$730$	21.4302	+	20.0538i	0.793168	+	0.742225i
$731$	3.76166	−	16.4809i	0.139130	−	0.609568i
$732$	−12.2545	−	4.92965i	−0.452938	−	0.182205i
$733$	25.0378	−	19.9670i	0.924792	−	0.737497i	−0.0403607	−	0.999185i	$-0.512851\pi$
$733$	25.0378	−	19.9670i	0.924792	−	0.737497i	0.965152	+	0.261688i	$0.0842793\pi$
$734$	15.9889	+	41.2515i	0.590159	+	1.52262i
$735$	−17.0738	−	3.33366i	−0.629775	−	0.122964i
$736$	−3.78699	−	13.2678i	−0.139590	−	0.489057i
$737$	−7.02037	−	8.80327i	−0.258599	−	0.324273i
$738$	10.7813	−	11.5213i	0.396867	−	0.424106i
$739$	40.1734	+	9.16931i	1.47780	+	0.337298i	0.884066	−	0.467362i	$-0.154796\pi$
$739$	40.1734	+	9.16931i	1.47780	+	0.337298i	0.593735	+	0.804661i	$0.297653\pi$
$740$	−4.87976	−	1.96300i	−0.179384	−	0.0721614i
$741$	1.56088	−	3.24120i	0.0573404	−	0.119068i
$742$	16.0329	+	9.01124i	0.588587	+	0.330813i
$743$	−15.5809	−	32.3540i	−0.571606	−	1.18695i	−0.963690	−	0.267023i	$-0.913960\pi$
$743$	−15.5809	−	32.3540i	−0.571606	−	1.18695i	0.392084	−	0.919929i	$-0.371754\pi$
$744$	15.6922	−	7.31293i	0.575302	−	0.268105i
$745$	22.5340	−	46.7922i	0.825580	−	1.71433i
$746$	10.7929	−	18.5124i	0.395155	−	0.677786i
$747$	−3.09669	−	13.5675i	−0.113302	−	0.496408i
$748$	27.1397	+	4.32594i	0.992326	+	0.158172i
$749$	4.09754	+	1.89418i	0.149721	+	0.0692117i
$750$	4.01568	−	12.8255i	0.146632	−	0.468322i
$751$	10.7444	−	22.3110i	0.392068	−	0.814138i	−0.607732	−	0.794142i	$-0.707920\pi$
$751$	10.7444	−	22.3110i	0.392068	−	0.814138i	0.999800	−	0.0199959i	$-0.00636530\pi$
$752$	11.0073	−	1.46894i	0.401396	−	0.0535669i
$753$	−12.0752			−0.440044
$754$	−21.1779	+	8.20842i	−0.771253	+	0.298933i
$755$	7.78245	+	34.0971i	0.283232	+	1.24092i
$756$	−4.56308	+	2.67923i	−0.165958	+	0.0974427i
$757$	2.96712	−	12.9998i	0.107842	−	0.472486i	−0.891951	−	0.452132i	$-0.850664\pi$
$757$	2.96712	−	12.9998i	0.107842	−	0.472486i	0.999793	−	0.0203540i	$-0.00647934\pi$
$758$	3.53024	+	24.1138i	0.128224	+	0.875851i
$759$	−2.95821	+	3.70948i	−0.107376	+	0.134646i
$760$	2.68264	+	5.75643i	0.0973095	+	0.208807i
$761$	−28.5105	−	6.50734i	−1.03351	−	0.235891i	−0.328061	−	0.944656i	$-0.606395\pi$
$761$	−28.5105	−	6.50734i	−1.03351	−	0.235891i	−0.705444	+	0.708766i	$0.749252\pi$
$762$	1.78419	+	12.1871i	0.0646342	+	0.441493i
$763$	−10.2984	−	7.94999i	−0.372826	−	0.287809i
$764$	7.80433	−	11.2412i	0.282351	−	0.406692i
$765$	−17.5554			−0.634715
$766$	−14.4504	−	37.2823i	−0.522114	−	1.34706i
$767$	13.0894	−	2.98757i	0.472631	−	0.107875i
$768$	12.9071	+	9.45554i	0.465744	+	0.341197i
$769$	23.2163	+	18.5144i	0.837201	+	0.667645i	0.945195	−	0.326506i	$-0.105871\pi$
$769$	23.2163	+	18.5144i	0.837201	+	0.667645i	−0.107994	+	0.994151i	$0.534443\pi$
$770$	12.1489	−	13.4006i	0.437815	−	0.482926i
$771$	−11.9213	+	9.50692i	−0.429335	+	0.342383i
$772$	−36.2607	−	25.1745i	−1.30505	−	0.906048i
$773$	−16.9360	+	13.5060i	−0.609144	+	0.485776i	−0.878806	−	0.477179i	$-0.841659\pi$
$773$	−16.9360	+	13.5060i	−0.609144	+	0.485776i	0.269662	+	0.962955i	$0.413088\pi$
$774$	−3.37374	−	0.267192i	−0.121266	−	0.00960403i
$775$	4.48818	−	5.62800i	0.161220	−	0.202164i
$776$	−0.612035	+	48.1933i	−0.0219708	+	1.73004i
$777$	−2.21629	−	1.71089i	−0.0795088	−	0.0613780i
$778$	−3.30424	+	41.7214i	−0.118463	+	1.49578i
$779$	−4.37390	−	9.08249i	−0.156711	−	0.325414i
$780$	−9.74969	−	17.2220i	−0.349095	−	0.616648i
$781$	−0.916311	+	0.441272i	−0.0327882	+	0.0157900i
$782$	12.2727	−	21.0506i	0.438869	−	0.752767i
$783$	4.03360			0.144149
$784$	−1.68338	+	27.9494i	−0.0601207	+	0.998191i
$785$	−31.2921			−1.11686
$786$	−9.64525	+	16.5439i	−0.344035	+	0.590103i
$787$	1.52944	−	0.736537i	0.0545185	−	0.0262547i	−0.406426	−	0.913684i	$-0.633225\pi$
$787$	1.52944	−	0.736537i	0.0545185	−	0.0262547i	0.460944	+	0.887429i	$0.347511\pi$
$788$	3.88928	+	6.87010i	0.138550	+	0.244737i
$789$	6.86654	+	14.2585i	0.244455	+	0.507616i
$790$	3.80717	−	48.0717i	0.135453	−	1.71031i
$791$	15.6727	−	33.9037i	0.557258	−	1.20548i
$792$	0.0698665	−	5.50147i	0.00248260	−	0.195486i
$793$	16.3957	−	20.5596i	0.582229	−	0.730092i
$794$	12.8800	+	1.02007i	0.457095	+	0.0362009i
$795$	9.55054	−	7.61630i	0.338723	−	0.270122i
$796$	−33.4847	−	23.2472i	−1.18684	−	0.823975i
$797$	−22.5256	+	17.9636i	−0.797899	+	0.636303i	−0.935158	−	0.354232i	$-0.884742\pi$
$797$	−22.5256	+	17.9636i	−0.797899	+	0.636303i	0.137258	+	0.990535i	$0.456171\pi$
$798$	0.542442	+	3.33680i	0.0192022	+	0.118121i
$799$	15.3328	+	12.2275i	0.542436	+	0.432579i
$800$	6.55599	+	1.13054i	0.231789	+	0.0399706i
$801$	12.5301	−	2.85991i	0.442729	−	0.101050i
$802$	−2.18917	−	5.64809i	−0.0773021	−	0.199441i
$803$	−16.2444			−0.573252
$804$	6.60224	−	9.50972i	0.232843	−	0.335382i
$805$	−7.18562	−	14.3376i	−0.253260	−	0.505334i
$806$	4.99264	+	34.1029i	0.175858	+	1.20122i
$807$	−23.0923	−	5.27066i	−0.812887	−	0.185536i
$808$	14.7999	+	31.7577i	0.520659	+	1.11723i
$809$	2.61929	−	3.28449i	0.0920894	−	0.115476i	−0.733652	−	0.679526i	$-0.762186\pi$
$809$	2.61929	−	3.28449i	0.0920894	−	0.115476i	0.825741	+	0.564049i	$0.190757\pi$
$810$	0.509102	+	3.47749i	0.0178880	+	0.122186i
$811$	−7.83367	+	34.3215i	−0.275077	+	1.20519i	0.628857	+	0.777521i	$0.283523\pi$
$811$	−7.83367	+	34.3215i	−0.275077	+	1.20519i	−0.903934	+	0.427672i	$0.859334\pi$
$812$	11.8940	−	17.7226i	0.417396	−	0.621943i
$813$	−3.29816	−	14.4502i	−0.115672	−	0.506790i
$814$	2.71441	−	1.05209i	0.0951400	−	0.0368757i
$815$	−44.6786			−1.56502
$816$	3.73770	+	28.0079i	0.130846	+	0.980474i
$817$	−0.938117	+	1.94802i	−0.0328205	+	0.0681526i
$818$	6.51080	−	20.7946i	0.227645	−	0.727065i
$819$	−2.50600	−	10.2321i	−0.0875667	−	0.357540i
$820$	−54.7650	−	8.72928i	−1.91248	−	0.304840i
$821$	−2.12123	−	9.29372i	−0.0740315	−	0.324353i	0.924329	−	0.381597i	$-0.124626\pi$
$821$	−2.12123	−	9.29372i	−0.0740315	−	0.324353i	−0.998360	+	0.0572440i	$0.981769\pi$
$822$	1.32781	−	2.27751i	0.0463125	−	0.0794372i
$823$	−6.71347	+	13.9407i	−0.234017	+	0.485941i	−0.984597	−	0.174838i	$-0.944060\pi$
$823$	−6.71347	+	13.9407i	−0.234017	+	0.485941i	0.750580	+	0.660779i	$0.229774\pi$
$824$	−39.7804	+	18.5387i	−1.38582	+	0.645825i
$825$	−0.992587	−	2.06113i	−0.0345575	−	0.0717593i
$826$	−8.47409	+	9.34721i	−0.294851	+	0.325231i
$827$	−12.0380	+	24.9971i	−0.418601	+	0.869233i	0.579910	+	0.814680i	$0.303088\pi$
$827$	−12.0380	+	24.9971i	−0.418601	+	0.869233i	−0.998511	+	0.0545527i	$0.982627\pi$
$828$	−4.52575	−	1.82059i	−0.157281	−	0.0632699i
$829$	23.6563	+	5.39940i	0.821618	+	0.187529i	0.612610	−	0.790385i	$-0.290120\pi$
$829$	23.6563	+	5.39940i	0.821618	+	0.187529i	0.209007	+	0.977914i	$0.432977\pi$
$830$	−33.4187	+	35.7124i	−1.15998	+	1.23959i
$831$	2.81869	+	3.53452i	0.0977791	+	0.122611i
$832$	−25.4004	+	19.2215i	−0.880599	+	0.666384i
$833$	−37.6678	+	32.0357i	−1.30511	+	1.10997i
$834$	7.27710	+	18.7750i	0.251985	+	0.650127i
$835$	−17.4679	+	13.9302i	−0.604501	+	0.482073i
$836$	−3.26106	−	1.31184i	−0.112786	−	0.0453709i
$837$	1.36203	−	5.96743i	0.0470785	−	0.206265i
$838$	−1.35899	−	1.27170i	−0.0469454	−	0.0439302i
$839$	−22.3292	−	10.7532i	−0.770889	−	0.371241i	0.00672919	−	0.999977i	$-0.497858\pi$
$839$	−22.3292	−	10.7532i	−0.770889	−	0.371241i	−0.777618	+	0.628737i	$0.783572\pi$
$840$	16.7804	+	8.01727i	0.578979	+	0.276622i
$841$	11.4694	−	5.52336i	0.395496	−	0.190461i
$842$	−36.7930	−	11.5199i	−1.26797	−	0.397003i
$843$	2.84682	+	1.37096i	0.0980497	+	0.0472182i
$844$	−7.25321	+	45.5045i	−0.249666	+	1.56633i
$845$	6.91432	−	1.57815i	0.237860	−	0.0542899i
$846$	1.97746	−	3.39183i	0.0679866	−	0.116613i
$847$	−0.301400	−	19.0897i	−0.0103562	−	0.655929i
$848$	−14.1845	−	13.6154i	−0.487098	−	0.467555i
$849$	1.43076	+	0.689017i	0.0491035	+	0.0236470i
$850$	6.57722	+	9.73529i	0.225597	+	0.333918i
$851$		−	2.58116i		−	0.0884809i
$852$	−0.704721	−	0.772524i	−0.0241433	−	0.0264662i
$853$	36.6218	−	8.35868i	1.25391	−	0.286196i	0.456546	−	0.889700i	$-0.349086\pi$
$853$	36.6218	−	8.35868i	1.25391	−	0.286196i	0.797360	+	0.603504i	$0.206229\pi$
$854$	−1.56185	+	24.6621i	−0.0534453	+	0.843918i
$855$	2.18906	+	0.499639i	0.0748643	+	0.0170873i
$856$	−3.73449	−	3.05654i	−0.127642	−	0.104470i
$857$	−23.1282	−	18.4441i	−0.790044	−	0.630039i	0.143032	−	0.989718i	$-0.454315\pi$
$857$	−23.1282	−	18.4441i	−0.790044	−	0.630039i	−0.933076	+	0.359679i	$0.882886\pi$
$858$	10.4530	+	3.27286i	0.356861	+	0.111734i
$859$	4.47683	−	19.6143i	0.152747	−	0.669230i	−0.839332	−	0.543619i	$-0.817054\pi$
$859$	4.47683	−	19.6143i	0.152747	−	0.669230i	0.992080	−	0.125611i	$-0.0400892\pi$
$860$	5.85974	+	10.3508i	0.199815	+	0.352958i
$861$	−26.7954	−	12.3867i	−0.913184	−	0.422139i
$862$	−0.827422	−	1.22471i	−0.0281821	−	0.0417138i
$863$			38.5182i			1.31118i	0.755119	+	0.655588i	$0.227579\pi$
$863$			38.5182i			1.31118i	−0.755119	+	0.655588i	$0.772421\pi$
$864$	5.43961	−	1.55261i	0.185059	−	0.0528210i
$865$	3.30306	+	14.4716i	0.112307	+	0.492051i
$866$	14.5699	+	1.15391i	0.495107	+	0.0392114i
$867$	−20.5134	+	25.7230i	−0.696671	+	0.873598i
$868$	−22.2032	−	23.5807i	−0.753624	−	0.800381i
$869$	16.6408	+	20.8669i	0.564501	+	0.707862i
$870$	−7.93615	−	11.7467i	−0.269061	−	0.398251i
$871$	14.3700	+	18.0194i	0.486910	+	0.610566i
$872$	8.53285	+	10.9831i	0.288959	+	0.371936i
$873$	13.3226	+	10.6244i	0.450902	+	0.359583i
$874$	−2.12945	+	2.27561i	−0.0720297	+	0.0769735i
$875$	−25.1398	+	0.396924i	−0.849881	+	0.0134185i
$876$	−4.78767	−	16.0009i	−0.161760	−	0.540622i
$877$	−37.2937	+	17.9597i	−1.25932	+	0.606457i	−0.939995	−	0.341189i	$-0.889171\pi$
$877$	−37.2937	+	17.9597i	−1.25932	+	0.606457i	−0.319325	+	0.947645i	$0.603456\pi$
$878$	5.44633	−	0.797340i	0.183805	−	0.0269089i
$879$	10.2989	+	21.3858i	0.347372	+	0.721325i
$880$	−16.1589	+	10.6207i	−0.544718	+	0.358025i
$881$		−	54.9389i		−	1.85094i	−0.378823	−	0.925469i	$-0.623671\pi$
$881$		−	54.9389i		−	1.85094i	0.378823	−	0.925469i	$-0.376329\pi$
$882$	7.43821	+	6.53246i	0.250458	+	0.219959i
$883$		−	41.7925i		−	1.40643i	−0.710977	−	0.703215i	$-0.751747\pi$
$883$		−	41.7925i		−	1.40643i	0.710977	−	0.703215i	$-0.248253\pi$
$884$	−55.5524	−	8.85479i	−1.86843	−	0.297819i
$885$	3.63588	+	7.54999i	0.122219	+	0.253790i
$886$	−7.52131	−	51.3753i	−0.252683	−	1.72599i
$887$	−19.6801	+	9.47742i	−0.660792	+	0.318221i	−0.734053	−	0.679092i	$-0.762374\pi$
$887$	−19.6801	+	9.47742i	−0.660792	+	0.318221i	0.0732611	+	0.997313i	$0.476659\pi$
$888$	1.83633	+	2.36365i	0.0616233	+	0.0793188i
$889$	20.6006	−	10.3245i	0.690923	−	0.346273i
$890$	−32.9817	−	30.8634i	−1.10555	−	1.03454i
$891$	−1.52083	−	1.21283i	−0.0509499	−	0.0406312i
$892$	29.2337	−	8.74706i	0.978816	−	0.292873i
$893$	−1.56392	−	1.96109i	−0.0523345	−	0.0656254i
$894$	−24.4893	+	16.5451i	−0.819045	+	0.553352i
$895$	13.3185	+	16.7008i	0.445187	+	0.558247i
$896$	9.21809	−	28.4785i	0.307955	−	0.951401i
$897$	6.05517	−	7.59295i	0.202176	−	0.253521i
$898$	1.90635	−	24.0708i	0.0636158	−	0.803252i
$899$	5.49388	+	24.0702i	0.183231	+	0.802787i
$900$	1.73770	−	1.58518i	0.0579232	−	0.0528394i
$901$		−	34.7227i		−	1.15678i
$902$	25.4333	−	17.1829i	0.846836	−	0.572128i
$903$	1.50615	+	6.14969i	0.0501215	+	0.204649i
$904$	−25.2903	+	30.8998i	−0.841143	+	1.02771i
$905$	7.03708	−	30.8314i	0.233920	−	1.02487i
$906$	5.94678	−	18.9932i	0.197569	−	0.631006i
$907$	−23.9853	−	19.1277i	−0.796420	−	0.635124i	0.138348	−	0.990384i	$-0.455821\pi$
$907$	−23.9853	−	19.1277i	−0.796420	−	0.635124i	−0.934768	+	0.355260i	$0.884392\pi$
$908$	−11.8456	−	20.9243i	−0.393109	−	0.694396i
$909$	12.0769	+	2.75647i	0.400565	+	0.0914262i
$910$	−24.8676	+	27.4298i	−0.824353	+	0.909290i
$911$	−26.1008	+	5.95735i	−0.864760	+	0.197376i	−0.631820	−	0.775115i	$-0.717692\pi$
$911$	−26.1008	+	5.95735i	−0.864760	+	0.197376i	−0.232940	+	0.972491i	$0.574835\pi$
$912$	0.331055	−	3.59882i	0.0109623	−	0.119169i
$913$		−	27.0704i		−	0.895901i
$914$	−35.6484	+	24.0843i	−1.17914	+	0.796637i
$915$	14.7877	+	7.12136i	0.488865	+	0.235425i
$916$	15.0233	−	0.998018i	0.496384	−	0.0329754i
$917$	35.0501	+	7.41983i	1.15746	+	0.245024i
$918$	8.63045	+	5.03162i	0.284847	+	0.166068i
$919$	12.1038	−	2.76262i	0.399268	−	0.0911304i	−0.0181717	−	0.999835i	$-0.505785\pi$
$919$	12.1038	−	2.76262i	0.399268	−	0.0911304i	0.417440	+	0.908705i	$0.362927\pi$
$920$	3.60250	+	16.7620i	0.118771	+	0.552627i
$921$	4.51351	+	2.17359i	0.148725	+	0.0716223i
$922$	−2.80537	+	8.95994i	−0.0923898	+	0.295080i
$923$	1.87560	−	0.903242i	0.0617362	−	0.0297306i
$924$	−9.81337	+	3.10589i	−0.322836	+	0.102176i
$925$	1.12129	+	0.539987i	0.0368679	+	0.0177547i
$926$	−20.8723	+	22.3048i	−0.685905	+	0.732983i
$927$	−3.45281	+	15.1277i	−0.113405	+	0.496860i
$928$	−17.0511	+	15.1624i	−0.559730	+	0.497730i
$929$	−0.254968	+	0.203330i	−0.00836523	+	0.00667105i	−0.627663	−	0.778485i	$-0.715989\pi$
$929$	−0.254968	+	0.203330i	−0.00836523	+	0.00667105i	0.619298	+	0.785156i	$0.287417\pi$
$930$	−20.0583	+	7.77446i	−0.657736	+	0.254935i
$931$	5.60873	−	2.92263i	0.183819	−	0.0957853i
$932$	17.5231	−	15.9851i	0.573988	−	0.523611i
$933$	−10.0575	−	12.6117i	−0.329267	−	0.412888i
$934$	39.9862	+	37.4180i	1.30839	+	1.22435i
$935$	−33.2929	−	7.59888i	−1.08879	−	0.248510i
$936$	−0.143010	+	11.2610i	−0.00467443	+	0.368077i
$937$	−1.53030	+	3.17770i	−0.0499928	+	0.103811i	−0.924469	−	0.381258i	$-0.875491\pi$
$937$	−1.53030	+	3.17770i	−0.0499928	+	0.103811i	0.874476	+	0.485069i	$0.161205\pi$
$938$	−20.7685	−	6.14437i	−0.678117	−	0.200621i
$939$	9.30279	+	19.3174i	0.303585	+	0.630401i
$940$	−13.7684	+	0.914655i	−0.449076	+	0.0298327i
$941$	8.68642	−	18.0375i	0.283169	−	0.588007i	−0.710065	−	0.704136i	$-0.751334\pi$
$941$	8.68642	−	18.0375i	0.283169	−	0.588007i	0.993234	+	0.116129i	$0.0370487\pi$
$942$	15.3836	+	8.96876i	0.501225	+	0.292218i
$943$	−6.05574	−	26.5319i	−0.197202	−	0.863999i
$944$	11.2712	−	7.40817i	0.366846	−	0.241116i
$945$	5.87821	−	2.94601i	0.191218	−	0.0958336i
$946$	−6.28247	−	1.96705i	−0.204261	−	0.0639542i
$947$	14.4109	−	29.9245i	0.468291	−	0.972416i	−0.524371	−	0.851490i	$-0.675699\pi$
$947$	14.4109	−	29.9245i	0.468291	−	0.972416i	0.992662	−	0.120926i	$-0.0385864\pi$
$948$	−15.6497	+	22.5415i	−0.508278	+	0.732113i
$949$	33.2507			1.07936
$950$	−0.543070	−	1.40113i	−0.0176195	−	0.0454587i
$951$	−2.06114	−	9.03045i	−0.0668371	−	0.292832i
$952$	47.5565	−	23.0832i	1.54131	−	0.748131i
$953$	5.66638	−	24.8260i	0.183552	−	0.804193i	−0.796370	−	0.604810i	$-0.793249\pi$
$953$	5.66638	−	24.8260i	0.183552	−	0.804193i	0.979922	−	0.199383i	$-0.0638939\pi$
$954$	−6.87811	+	1.00695i	−0.222687	+	0.0326013i
$955$	−10.6021	+	13.2946i	−0.343075	+	0.430203i
$956$	−44.7622	+	2.97361i	−1.44771	+	0.0961735i
$957$	7.64953	+	1.74595i	0.247274	+	0.0564387i
$958$	−48.2371	+	7.06188i	−1.55847	+	0.228159i
$959$	−4.82515	−	1.02144i	−0.155812	−	0.0329842i
$960$	−15.2240	−	12.7865i	−0.491354	−	0.412684i
$961$	6.46534			0.208559
$962$	−5.55613	+	2.15353i	−0.179137	+	0.0694324i
$963$	−1.66342	+	0.379665i	−0.0536029	+	0.0122345i
$964$	2.64606	+	8.84345i	0.0852239	+	0.284828i
$965$	42.8844	+	34.1992i	1.38050	+	1.10091i
$966$	−0.576812	+	9.10805i	−0.0185586	+	0.293047i
$967$	1.26578	−	1.00942i	0.0407046	−	0.0324609i	−0.602926	−	0.797797i	$-0.705999\pi$
$967$	1.26578	−	1.00942i	0.0407046	−	0.0324609i	0.643631	+	0.765336i	$0.277427\pi$
$968$	−4.79403	+	19.8393i	−0.154086	+	0.637658i
$969$	4.98996	−	3.97936i	0.160301	−	0.127836i
$970$	4.72827	−	59.7021i	0.151816	−	1.91692i
$971$	−1.58436	+	1.98672i	−0.0508445	+	0.0637569i	−0.806604	−	0.591093i	$-0.798697\pi$
$971$	−1.58436	+	1.98672i	−0.0508445	+	0.0637569i	0.755759	+	0.654850i	$0.227268\pi$
$972$	0.746417	−	1.85549i	0.0239413	−	0.0595150i
$973$	29.0779	−	23.9495i	0.932195	−	0.767786i
$974$	−22.0538	−	1.74661i	−0.706649	−	0.0559650i
$975$	2.03173	+	4.21893i	0.0650675	+	0.135114i
$976$	8.21303	−	25.1085i	0.262893	−	0.803705i
$977$	−41.5329	+	20.0012i	−1.32875	+	0.639895i	−0.957445	−	0.288614i	$-0.906805\pi$
$977$	−41.5329	+	20.0012i	−1.32875	+	0.639895i	−0.371310	+	0.928509i	$0.621091\pi$
$978$	21.9646	+	12.8055i	0.702350	+	0.409476i
$979$	25.0006			0.799022
$980$	4.38919	−	34.5144i	0.140207	−	1.10252i
$981$	4.91730			0.156997
$982$	−44.3733	−	25.8700i	−1.41601	−	0.825545i
$983$	−16.2858	+	7.84282i	−0.519436	+	0.250147i	−0.675184	−	0.737650i	$-0.735936\pi$
$983$	−16.2858	+	7.84282i	−0.519436	+	0.250147i	0.155748	+	0.987797i	$0.450221\pi$
$984$	24.4213	+	19.9879i	0.778521	+	0.637190i
$985$	−4.25627	−	8.83824i	−0.135616	−	0.281610i
$986$	−40.1703	−	3.18139i	−1.27928	−	0.101316i
$987$	−7.18595	−	1.52121i	−0.228731	−	0.0484206i
$988$	6.67507	+	2.68521i	0.212362	+	0.0854278i
$989$	−3.63927	+	4.56350i	−0.115722	+	0.145111i
$990$	−0.539752	+	6.81525i	−0.0171545	+	0.216603i
$991$	−44.4906	+	35.4801i	−1.41329	+	1.12706i	−0.439865	+	0.898064i	$0.644974\pi$
$991$	−44.4906	+	35.4801i	−1.41329	+	1.12706i	−0.973427	+	0.228999i	$0.926455\pi$
$992$	16.6740	+	30.3458i	0.529401	+	0.963480i
$993$	21.7827	−	17.3711i	0.691253	−	0.551256i
$994$	−0.958494	+	1.70537i	−0.0304016	+	0.0540909i
$995$	39.6013	+	31.5810i	1.25545	+	1.00118i
$996$	26.6647	−	7.97840i	0.844904	−	0.252805i
$997$	−19.8437	+	4.52919i	−0.628456	+	0.143441i	−0.524874	−	0.851180i	$-0.675888\pi$
$997$	−19.8437	+	4.52919i	−0.628456	+	0.143441i	−0.103582	+	0.994621i	$0.533030\pi$
$998$	47.8056	−	18.5292i	1.51326	−	0.586530i
$999$	1.05824			0.0334812

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.139.10	yes	168
4.3	odd	2		588.2.x.b.139.25	yes	168
49.6	odd	14		588.2.x.b.55.25	yes	168
196.55	even	14	inner	588.2.x.a.55.10	✓	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.10	✓	168	196.55	even	14	inner
588.2.x.a.139.10	yes	168	1.1	even	1	trivial
588.2.x.b.55.25	yes	168	49.6	odd	14
588.2.x.b.139.25	yes	168	4.3	odd	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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.712285 + 1.22174i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-0.985301 - 1.74045i) q^{4} +(1.07827 + 2.23906i) q^{5} +(0.111653 - 1.40980i) q^{6} +(-2.56980 + 0.629382i) q^{7} +(2.82820 + 0.0359170i) q^{8} +(0.623490 - 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.712285 + 1.22174i) q^{2} +(-0.900969 + 0.433884i) q^{3} +(-0.985301 - 1.74045i) q^{4} +(1.07827 + 2.23906i) q^{5} +(0.111653 - 1.40980i) q^{6} +(-2.56980 + 0.629382i) q^{7} +(2.82820 + 0.0359170i) q^{8} +(0.623490 - 0.781831i) q^{9} +(-3.50359 - 0.277476i) q^{10} +(1.52083 - 1.21283i) q^{11} +(1.64288 + 1.14059i) q^{12} +(-3.11300 + 2.48254i) q^{13} +(1.06149 - 3.58793i) q^{14} +(-1.94298 - 1.54948i) q^{15} +(-2.05836 + 3.42974i) q^{16} +(-6.88695 + 1.57190i) q^{17} +(0.511093 + 1.31863i) q^{18} +0.903503 q^{19} +(2.83455 - 4.08283i) q^{20} +(2.04223 - 1.68205i) q^{21} +(0.398491 + 2.72194i) q^{22} +(2.37795 + 0.542752i) q^{23} +(-2.56370 + 1.19475i) q^{24} +(-0.733256 + 0.919474i) q^{25} +(-0.815672 - 5.57156i) q^{26} +(-0.222521 + 0.974928i) q^{27} +(3.62744 + 3.85249i) q^{28} +(-0.897561 - 3.93247i) q^{29} +(3.27701 - 1.27015i) q^{30} -6.12089 q^{31} +(-2.72412 - 4.95774i) q^{32} +(-0.844000 + 1.75258i) q^{33} +(2.98501 - 9.53371i) q^{34} +(-4.18017 - 5.07529i) q^{35} +(-1.97507 - 0.314816i) q^{36} +(-0.235480 - 1.03171i) q^{37} +(-0.643552 + 1.10385i) q^{38} +(1.72759 - 3.58737i) q^{39} +(2.96915 + 6.37123i) q^{40} +(-4.84104 - 10.0525i) q^{41} +(0.600377 + 3.69318i) q^{42} +(-1.03831 + 2.15607i) q^{43} +(-3.60935 - 1.45195i) q^{44} +(2.42286 + 0.553002i) q^{45} +(-2.35688 + 2.51865i) q^{46} +(-1.73095 - 2.17054i) q^{47} +(0.366412 - 3.98318i) q^{48} +(6.20776 - 3.23477i) q^{49} +(-0.601072 - 1.55078i) q^{50} +(5.52290 - 4.40437i) q^{51} +(7.38799 + 2.97200i) q^{52} +(-1.09378 + 4.79217i) q^{53} +(-1.03261 - 0.966289i) q^{54} +(4.35546 + 2.09748i) q^{55} +(-7.29051 + 1.68772i) q^{56} +(-0.814028 + 0.392015i) q^{57} +(5.44378 + 1.70445i) q^{58} +(-3.03802 - 1.46303i) q^{59} +(-0.782371 + 4.90837i) q^{60} +(-6.43883 + 1.46962i) q^{61} +(4.35982 - 7.47814i) q^{62} +(-1.11017 + 2.40156i) q^{63} +(7.99742 + 0.203161i) q^{64} +(-8.91521 - 4.29334i) q^{65} +(-1.54003 - 2.27949i) q^{66} -5.78844i q^{67} +(9.52154 + 10.4376i) q^{68} +(-2.37795 + 0.542752i) q^{69} +(9.17816 - 1.49204i) q^{70} +(-0.509726 - 0.116342i) q^{71} +(1.79143 - 2.18878i) q^{72} +(-6.52902 - 5.20672i) q^{73} +(1.42821 + 0.447173i) q^{74} +(0.261696 - 1.14657i) q^{75} +(-0.890223 - 1.57251i) q^{76} +(-3.14491 + 4.07391i) q^{77} +(3.15230 + 4.66589i) q^{78} +13.7207i q^{79} +(-9.89887 - 0.910596i) q^{80} +(-0.222521 - 0.974928i) q^{81} +(15.7298 + 1.24576i) q^{82} +(8.67672 - 10.8803i) q^{83} +(-4.93974 - 1.89709i) q^{84} +(-10.9456 - 13.7253i) q^{85} +(-1.89459 - 2.80428i) q^{86} +(2.51491 + 3.15360i) q^{87} +(4.34479 - 3.37549i) q^{88} +(10.0483 + 8.01329i) q^{89} +(-2.40139 + 2.56621i) q^{90} +(6.43734 - 8.33890i) q^{91} +(-1.39836 - 4.67349i) q^{92} +(5.51473 - 2.65576i) q^{93} +(3.88477 - 0.568727i) q^{94} +(0.974223 + 2.02300i) q^{95} +(4.60543 + 3.28482i) q^{96} +17.0403i q^{97} +(-0.469635 + 9.88835i) q^{98} -1.94522i 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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