LMFDB - Embedded newform 588.2.x.a.55.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			55.13
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.0562843 - 1.41309i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99366 + 0.159070i) q^{4} +(0.302206 - 0.627538i) q^{5} +(-0.562408 + 1.29757i) q^{6} +(1.01653 + 2.44268i) q^{7} +(0.336993 + 2.80828i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-0.0562843 - 1.41309i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99366 + 0.159070i) q^{4} +(0.302206 - 0.627538i) q^{5} +(-0.562408 + 1.29757i) q^{6} +(1.01653 + 2.44268i) q^{7} +(0.336993 + 2.80828i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.903779 - 0.391725i) q^{10} +(-0.0959322 - 0.0765034i) q^{11} +(1.86525 + 0.721701i) q^{12} +(2.54319 + 2.02813i) q^{13} +(3.39452 - 1.57393i) q^{14} +(-0.544557 + 0.434270i) q^{15} +(3.94939 - 0.634264i) q^{16} +(-1.26450 - 0.288613i) q^{17} +(1.06971 - 0.925054i) q^{18} +5.12319 q^{19} +(-0.502675 + 1.29917i) q^{20} +(0.143978 - 2.64183i) q^{21} +(-0.102707 + 0.139867i) q^{22} +(1.15333 - 0.263241i) q^{23} +(0.914847 - 2.67639i) q^{24} +(2.81497 + 3.52987i) q^{25} +(2.72279 - 3.70792i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-2.41517 - 4.70818i) q^{28} +(0.172989 - 0.757916i) q^{29} +(0.644314 + 0.745067i) q^{30} -0.961233 q^{31} +(-1.11856 - 5.54516i) q^{32} +(0.0532383 + 0.110551i) q^{33} +(-0.336666 + 1.80310i) q^{34} +(1.84007 + 0.100283i) q^{35} +(-1.36740 - 1.45953i) q^{36} +(0.258167 - 1.13111i) q^{37} +(-0.288355 - 7.23954i) q^{38} +(-1.41137 - 2.93073i) q^{39} +(1.86414 + 0.637204i) q^{40} +(-1.08736 + 2.25792i) q^{41} +(-3.74126 - 0.0547611i) q^{42} +(-1.88744 - 3.91930i) q^{43} +(0.203426 + 0.137262i) q^{44} +(0.679051 - 0.154989i) q^{45} +(-0.436899 - 1.61495i) q^{46} +(6.83101 - 8.56582i) q^{47} +(-3.83348 - 1.14213i) q^{48} +(-4.93334 + 4.96610i) q^{49} +(4.82959 - 4.17650i) q^{50} +(1.01405 + 0.808676i) q^{51} +(-5.39289 - 3.63886i) q^{52} +(0.486511 + 2.13155i) q^{53} +(-1.36514 + 0.369316i) q^{54} +(-0.0770001 + 0.0370813i) q^{55} +(-6.51716 + 3.67786i) q^{56} +(-4.61583 - 2.22287i) q^{57} +(-1.08074 - 0.201791i) q^{58} +(8.35568 - 4.02388i) q^{59} +(1.01658 - 0.952411i) q^{60} +(9.45890 + 2.15893i) q^{61} +(0.0541024 + 1.35831i) q^{62} +(-1.27597 + 2.31774i) q^{63} +(-7.77287 + 1.89274i) q^{64} +(2.04130 - 0.983037i) q^{65} +(0.153222 - 0.0814530i) q^{66} +6.68104i q^{67} +(2.56689 + 0.374254i) q^{68} +(-1.15333 - 0.263241i) q^{69} +(0.0381419 - 2.60584i) q^{70} +(2.49309 - 0.569033i) q^{71} +(-1.98549 + 2.01441i) q^{72} +(-1.57888 + 1.25912i) q^{73} +(-1.61289 - 0.301151i) q^{74} +(-1.00465 - 4.40167i) q^{75} +(-10.2139 + 0.814946i) q^{76} +(0.0893553 - 0.312099i) q^{77} +(-4.06196 + 2.15935i) q^{78} +10.2295i q^{79} +(0.795507 - 2.67007i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(3.25186 + 1.40945i) q^{82} +(6.14299 + 7.70307i) q^{83} +(0.133192 + 5.28983i) q^{84} +(-0.563255 + 0.706299i) q^{85} +(-5.43211 + 2.88772i) q^{86} +(-0.484706 + 0.607802i) q^{87} +(0.182514 - 0.295185i) q^{88} +(-7.67683 + 6.12207i) q^{89} +(-0.257234 - 0.950840i) q^{90} +(-2.36884 + 8.27385i) q^{91} +(-2.25749 + 0.708275i) q^{92} +(0.866041 + 0.417063i) q^{93} +(-12.4888 - 9.17073i) q^{94} +(1.54826 - 3.21500i) q^{95} +(-1.39816 + 5.48134i) q^{96} +0.402870i q^{97} +(7.29523 + 6.69176i) q^{98} -0.122702i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.0562843	−	1.41309i	−0.0397990	−	0.999208i
$2$	−0.0562843	−	1.41309i	−0.0397990	−	0.999208i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	−1.99366	+	0.159070i	−0.996832	+	0.0795350i
$5$	0.302206	−	0.627538i	0.135151	−	0.280643i	−0.822399	−	0.568911i	$-0.807365\pi$
$5$	0.302206	−	0.627538i	0.135151	−	0.280643i	0.957550	+	0.288267i	$0.0930792\pi$
$6$	−0.562408	+	1.29757i	−0.229602	+	0.529732i
$7$	1.01653	+	2.44268i	0.384211	+	0.923245i
$7$	1.01653	+	2.44268i	0.384211	+	0.923245i
$8$	0.336993	+	2.80828i	0.119145	+	0.992877i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	−0.903779	−	0.391725i	−0.285800	−	0.123874i
$11$	−0.0959322	−	0.0765034i	−0.0289246	−	0.0230666i	0.608921	−	0.793231i	$-0.291603\pi$
$11$	−0.0959322	−	0.0765034i	−0.0289246	−	0.0230666i	−0.637845	+	0.770164i	$0.720174\pi$
$12$	1.86525	+	0.721701i	0.538450	+	0.208337i
$13$	2.54319	+	2.02813i	0.705355	+	0.562502i	0.909128	−	0.416516i	$-0.136749\pi$
$13$	2.54319	+	2.02813i	0.705355	+	0.562502i	−0.203773	+	0.979018i	$0.565320\pi$
$14$	3.39452	−	1.57393i	0.907222	−	0.420651i
$15$	−0.544557	+	0.434270i	−0.140604	+	0.112128i
$16$	3.94939	−	0.634264i	0.987348	−	0.158566i
$17$	−1.26450	−	0.288613i	−0.306686	−	0.0699990i	0.0664084	−	0.997793i	$-0.478846\pi$
$17$	−1.26450	−	0.288613i	−0.306686	−	0.0699990i	−0.373094	+	0.927794i	$0.621703\pi$
$18$	1.06971	−	0.925054i	0.252133	−	0.218037i
$19$	5.12319			1.17534			0.587670	−	0.809101i	$-0.300045\pi$
$19$	5.12319			1.17534			0.587670	+	0.809101i	$0.300045\pi$
$20$	−0.502675	+	1.29917i	−0.112402	+	0.290504i
$21$	0.143978	−	2.64183i	0.0314187	−	0.576495i
$22$	−0.102707	+	0.139867i	−0.0218972	+	0.0298197i
$23$	1.15333	−	0.263241i	0.240487	−	0.0548895i	−0.100579	−	0.994929i	$-0.532069\pi$
$23$	1.15333	−	0.263241i	0.240487	−	0.0548895i	0.341065	+	0.940040i	$0.389212\pi$
$24$	0.914847	−	2.67639i	0.186742	−	0.546315i
$25$	2.81497	+	3.52987i	0.562995	+	0.705973i
$26$	2.72279	−	3.70792i	0.533984	−	0.727183i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	−2.41517	−	4.70818i	−0.456424	−	0.889762i
$29$	0.172989	−	0.757916i	0.0321233	−	0.140742i	−0.956323	−	0.292311i	$-0.905576\pi$
$29$	0.172989	−	0.757916i	0.0321233	−	0.140742i	0.988447	+	0.151570i	$0.0484328\pi$
$30$	0.644314	+	0.745067i	0.117635	+	0.136030i
$31$	−0.961233			−0.172643			−0.0863213	−	0.996267i	$-0.527511\pi$
$31$	−0.961233			−0.172643			−0.0863213	+	0.996267i	$0.527511\pi$
$32$	−1.11856	−	5.54516i	−0.197736	−	0.980255i
$33$	0.0532383	+	0.110551i	0.00926760	+	0.0192444i
$34$	−0.336666	+	1.80310i	−0.0577377	+	0.309229i
$35$	1.84007	+	0.100283i	0.311029	+	0.0169509i
$36$	−1.36740	−	1.45953i	−0.227899	−	0.243255i
$37$	0.258167	−	1.13111i	0.0424425	−	0.185953i	−0.949263	−	0.314483i	$-0.898169\pi$
$37$	0.258167	−	1.13111i	0.0424425	−	0.185953i	0.991706	+	0.128530i	$0.0410260\pi$
$38$	−0.288355	−	7.23954i	−0.0467774	−	1.17441i
$39$	−1.41137	−	2.93073i	−0.225999	−	0.469293i
$40$	1.86414	+	0.637204i	0.294747	+	0.100751i
$41$	−1.08736	+	2.25792i	−0.169817	+	0.352628i	−0.968457	−	0.249180i	$-0.919839\pi$
$41$	−1.08736	+	2.25792i	−0.169817	+	0.352628i	0.798640	+	0.601809i	$0.205553\pi$
$42$	−3.74126	−	0.0547611i	−0.577288	−	0.00844983i
$43$	−1.88744	−	3.91930i	−0.287831	−	0.597688i	0.706047	−	0.708165i	$-0.250477\pi$
$43$	−1.88744	−	3.91930i	−0.287831	−	0.597688i	−0.993879	+	0.110477i	$0.964762\pi$
$44$	0.203426	+	0.137262i	0.0306676	+	0.0206930i
$45$	0.679051	−	0.154989i	0.101227	−	0.0231044i
$46$	−0.436899	−	1.61495i	−0.0644172	−	0.238112i
$47$	6.83101	−	8.56582i	0.996405	−	1.24945i	0.0281205	−	0.999605i	$-0.491048\pi$
$47$	6.83101	−	8.56582i	0.996405	−	1.24945i	0.968285	−	0.249848i	$-0.0803808\pi$
$48$	−3.83348	−	1.14213i	−0.553315	−	0.164852i
$49$	−4.93334	+	4.96610i	−0.704763	+	0.709442i
$50$	4.82959	−	4.17650i	0.683007	−	0.590646i
$51$	1.01405	+	0.808676i	0.141995	+	0.113237i
$52$	−5.39289	−	3.63886i	−0.747859	−	0.504620i
$53$	0.486511	+	2.13155i	0.0668275	+	0.292790i	0.997288	−	0.0736028i	$-0.0234497\pi$
$53$	0.486511	+	2.13155i	0.0668275	+	0.292790i	−0.930460	+	0.366393i	$0.880593\pi$
$54$	−1.36514	+	0.369316i	−0.185772	+	0.0502575i
$55$	−0.0770001	+	0.0370813i	−0.0103827	+	0.00500004i
$56$	−6.51716	+	3.67786i	−0.870892	+	0.491474i
$57$	−4.61583	−	2.22287i	−0.611382	−	0.294426i
$58$	−1.08074	−	0.201791i	−0.141909	−	0.0264965i
$59$	8.35568	−	4.02388i	1.08782	−	0.523865i	0.198009	−	0.980200i	$-0.436553\pi$
$59$	8.35568	−	4.02388i	1.08782	−	0.523865i	0.889808	+	0.456336i	$0.150838\pi$
$60$	1.01658	−	0.952411i	0.131240	−	0.122956i
$61$	9.45890	+	2.15893i	1.21109	+	0.276423i	0.779938	−	0.625857i	$-0.215251\pi$
$61$	9.45890	+	2.15893i	1.21109	+	0.276423i	0.431151	+	0.902280i	$0.358108\pi$
$62$	0.0541024	+	1.35831i	0.00687101	+	0.172506i
$63$	−1.27597	+	2.31774i	−0.160757	+	0.292007i
$64$	−7.77287	+	1.89274i	−0.971609	+	0.236592i
$65$	2.04130	−	0.983037i	0.253192	−	0.121931i
$66$	0.153222	−	0.0814530i	0.0188603	−	0.0100262i
$67$			6.68104i			0.816219i	0.912933	+	0.408109i	$0.133812\pi$
$67$			6.68104i			0.816219i	−0.912933	+	0.408109i	$0.866188\pi$
$68$	2.56689	+	0.374254i	0.311281	+	0.0453850i
$69$	−1.15333	−	0.263241i	−0.138845	−	0.0316905i
$70$	0.0381419	−	2.60584i	0.00455883	−	0.311457i
$71$	2.49309	−	0.569033i	0.295876	−	0.0675317i	−0.0720062	−	0.997404i	$-0.522940\pi$
$71$	2.49309	−	0.569033i	0.295876	−	0.0675317i	0.367882	+	0.929872i	$0.380083\pi$
$72$	−1.98549	+	2.01441i	−0.233992	+	0.237400i
$73$	−1.57888	+	1.25912i	−0.184794	+	0.147369i	−0.711518	−	0.702668i	$-0.751992\pi$
$73$	−1.57888	+	1.25912i	−0.184794	+	0.147369i	0.526723	+	0.850037i	$0.323420\pi$
$74$	−1.61289	−	0.301151i	−0.187494	−	0.0350081i
$75$	−1.00465	−	4.40167i	−0.116007	−	0.508261i
$76$	−10.2139	+	0.814946i	−1.17162	+	0.0934807i
$77$	0.0893553	−	0.312099i	0.0101830	−	0.0355670i
$78$	−4.06196	+	2.15935i	−0.459926	+	0.244498i
$79$			10.2295i			1.15091i	0.817833	+	0.575455i	$0.195175\pi$
$79$			10.2295i			1.15091i	−0.817833	+	0.575455i	$0.804825\pi$
$80$	0.795507	−	2.67007i	0.0889404	−	0.298523i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	3.25186	+	1.40945i	0.359108	+	0.155648i
$83$	6.14299	+	7.70307i	0.674281	+	0.845522i	0.994813	−	0.101716i	$-0.0324333\pi$
$83$	6.14299	+	7.70307i	0.674281	+	0.845522i	−0.320532	+	0.947238i	$0.603862\pi$
$84$	0.133192	+	5.28983i	0.0145324	+	0.577167i
$85$	−0.563255	+	0.706299i	−0.0610936	+	0.0766089i
$86$	−5.43211	+	2.88772i	−0.585759	+	0.311391i
$87$	−0.484706	+	0.607802i	−0.0519659	+	0.0651632i
$88$	0.182514	−	0.295185i	0.0194561	−	0.0314669i
$89$	−7.67683	+	6.12207i	−0.813742	+	0.648938i	−0.939280	−	0.343151i	$-0.888506\pi$
$89$	−7.67683	+	6.12207i	−0.813742	+	0.648938i	0.125538	+	0.992089i	$0.459934\pi$
$90$	−0.257234	−	0.950840i	−0.0271148	−	0.100227i
$91$	−2.36884	+	8.27385i	−0.248322	+	0.867335i
$92$	−2.25749	+	0.708275i	−0.235359	+	0.0738428i
$93$	0.866041	+	0.417063i	0.0898043	+	0.0432475i
$94$	−12.4888	−	9.17073i	−1.28812	−	0.945889i
$95$	1.54826	−	3.21500i	0.158848	−	0.329852i
$96$	−1.39816	+	5.48134i	−0.142700	+	0.559437i
$97$			0.402870i			0.0409052i	0.999791	+	0.0204526i	$0.00651072\pi$
$97$			0.402870i			0.0409052i	−0.999791	+	0.0204526i	$0.993489\pi$
$98$	7.29523	+	6.69176i	0.736929	+	0.675970i
$99$		−	0.122702i		−	0.0123320i
$100$	−6.17361	−	6.58959i	−0.617361	−	0.658959i
$101$	3.39236	−	7.04432i	0.337553	−	0.700936i	−0.661234	−	0.750180i	$-0.729967\pi$
$101$	3.39236	−	7.04432i	0.337553	−	0.700936i	0.998787	+	0.0492440i	$0.0156812\pi$
$102$	1.08566	−	1.47846i	0.107496	−	0.146389i
$103$	6.45865	+	3.11032i	0.636390	+	0.306469i	0.724119	−	0.689675i	$-0.242247\pi$
$103$	6.45865	+	3.11032i	0.636390	+	0.306469i	−0.0877289	+	0.996144i	$0.527961\pi$
$104$	−4.83852	+	7.82547i	−0.474456	+	0.767350i
$105$	−1.61434	−	0.888730i	−0.157543	−	0.0867312i
$106$	2.98469	−	0.807458i	0.289899	−	0.0784273i
$107$	−4.83394	+	3.85494i	−0.467315	+	0.372671i	−0.828652	−	0.559764i	$-0.810892\pi$
$107$	−4.83394	+	3.85494i	−0.467315	+	0.372671i	0.361337	+	0.932435i	$0.382320\pi$
$108$	0.598714	+	1.90828i	0.0576113	+	0.183625i
$109$	−5.35815	+	6.71891i	−0.513218	+	0.643555i	−0.969154	−	0.246458i	$-0.920733\pi$
$109$	−5.35815	+	6.71891i	−0.513218	+	0.643555i	0.455935	+	0.890013i	$0.349305\pi$
$110$	0.0567332	+	0.106721i	0.00540930	+	0.0101755i
$111$	−0.723369	+	0.907076i	−0.0686591	+	0.0860958i
$112$	5.56397	+	9.00235i	0.525746	+	0.850642i
$113$	−0.834137	−	1.04597i	−0.0784690	−	0.0983970i	0.741047	−	0.671453i	$-0.234329\pi$
$113$	−0.834137	−	1.04597i	−0.0784690	−	0.0983970i	−0.819516	+	0.573056i	$0.805758\pi$
$114$	−2.88132	+	6.64772i	−0.269860	+	0.622616i
$115$	0.183351	−	0.803314i	0.0170976	−	0.0749094i
$116$	−0.224321	+	1.53855i	−0.0208277	+	0.142851i
$117$			3.25287i			0.300728i
$118$	−6.15641	−	11.5809i	−0.566744	−	1.06611i
$119$	−0.580407	−	3.38214i	−0.0532058	−	0.310040i
$120$	−1.40306	−	1.38292i	−0.128082	−	0.126243i
$121$	−2.44438	−	10.7095i	−0.222216	−	0.973594i
$122$	2.51839	−	13.4878i	0.228004	−	1.22113i
$123$	1.95935	−	1.56253i	0.176669	−	0.140889i
$124$	1.91638	−	0.152903i	0.172096	−	0.0137311i
$125$	6.46108	−	1.47470i	0.577897	−	0.131901i
$126$	3.34700	+	1.67261i	0.298174	+	0.149008i
$127$	−20.6387	−	4.71065i	−1.83139	−	0.418003i	−0.839314	−	0.543647i	$-0.817043\pi$
$127$	−20.6387	−	4.71065i	−1.83139	−	0.418003i	−0.992075	+	0.125644i	$0.959900\pi$
$128$	3.11211	+	10.8773i	0.275074	+	0.961423i
$129$			4.35010i			0.383005i
$130$	−1.50402	−	2.82921i	−0.131911	−	0.248138i
$131$	19.6933	−	9.48381i	1.72062	−	0.828605i	0.731433	−	0.681914i	$-0.238852\pi$
$131$	19.6933	−	9.48381i	1.72062	−	0.828605i	0.989182	−	0.146691i	$-0.0468623\pi$
$132$	−0.123725	−	0.211932i	−0.0107688	−	0.0184463i
$133$	5.20786	+	12.5143i	0.451579	+	1.08513i
$134$	9.44093	−	0.376038i	0.815572	−	0.0324847i
$135$	−0.679051	−	0.154989i	−0.0584434	−	0.0133393i
$136$	0.384380	−	3.64832i	0.0329603	−	0.312841i
$137$	−12.8726	+	6.19911i	−1.09978	+	0.529626i	−0.893589	−	0.448886i	$-0.851821\pi$
$137$	−12.8726	+	6.19911i	−1.09978	+	0.529626i	−0.206190	+	0.978512i	$0.566107\pi$
$138$	−0.307069	+	1.64458i	−0.0261395	+	0.139996i
$139$	1.79022	+	0.862126i	0.151845	+	0.0731245i	0.508263	−	0.861202i	$-0.330288\pi$
$139$	1.79022	+	0.862126i	0.151845	+	0.0731245i	−0.356418	+	0.934327i	$0.616002\pi$
$140$	−3.68444	+	0.0927699i	−0.311392	+	0.00784048i
$141$	−9.87110	+	4.75367i	−0.831296	+	0.400331i
$142$	−0.944418	−	3.49095i	−0.0792538	−	0.292954i
$143$	−0.0888154	−	0.389126i	−0.00742712	−	0.0325403i
$144$	2.95829	+	2.69230i	0.246525	+	0.224359i
$145$	−0.423343	−	0.337605i	−0.0351567	−	0.0280365i
$146$	1.86812	+	2.16024i	0.154607	+	0.178783i
$147$	6.59950	−	2.33380i	0.544317	−	0.192489i
$148$	−0.334774	+	2.29611i	−0.0275183	+	0.188739i
$149$	4.58736	−	5.75236i	0.375811	−	0.471252i	−0.557575	−	0.830127i	$-0.688268\pi$
$149$	4.58736	−	5.75236i	0.375811	−	0.471252i	0.933386	+	0.358875i	$0.116839\pi$
$150$	−6.16342	+	1.66741i	−0.503241	+	0.136144i
$151$	−11.9339	+	2.72385i	−0.971171	+	0.221663i	−0.678541	−	0.734562i	$-0.737387\pi$
$151$	−11.9339	+	2.72385i	−0.971171	+	0.221663i	−0.292630	+	0.956226i	$0.594530\pi$
$152$	1.72648	+	14.3874i	0.140036	+	1.16697i
$153$	−0.562754	−	1.16857i	−0.0454960	−	0.0944734i
$154$	−0.446054	−	0.108701i	−0.0359441	−	0.00875938i
$155$	−0.290491	+	0.603210i	−0.0233328	+	0.0484510i
$156$	3.27998	+	5.61839i	0.262609	+	0.449831i
$157$	3.80736	+	7.90606i	0.303860	+	0.630972i	0.995857	−	0.0909279i	$-0.0289833\pi$
$157$	3.80736	+	7.90606i	0.303860	+	0.630972i	−0.691997	+	0.721900i	$0.743269\pi$
$158$	14.4553	−	0.575762i	1.15000	−	0.0458051i
$159$	0.486511	−	2.13155i	0.0385829	−	0.169043i
$160$	−3.81784	−	0.973842i	−0.301826	−	0.0769890i
$161$	1.81541	+	2.54963i	0.143074	+	0.200939i
$162$	1.39019	+	0.259570i	0.109224	+	0.0203937i
$163$	3.86317	+	8.02196i	0.302587	+	0.628328i	0.995714	−	0.0924873i	$-0.0294818\pi$
$163$	3.86317	+	8.02196i	0.302587	+	0.628328i	−0.693127	+	0.720816i	$0.743767\pi$
$164$	1.80866	−	4.67451i	0.141233	−	0.365018i
$165$	0.0854636			0.00665333
$166$	10.5394	−	9.11418i	0.818016	−	0.707398i
$167$	−1.06309	+	4.65772i	−0.0822647	+	0.360425i	−0.999260	−	0.0384737i	$-0.987750\pi$
$167$	−1.06309	+	4.65772i	−0.0822647	+	0.360425i	0.916995	+	0.398899i	$0.130608\pi$
$168$	7.46752	−	0.485946i	0.576132	−	0.0374916i
$169$	−0.538245	−	2.35821i	−0.0414035	−	0.181401i
$170$	1.02977	+	0.756178i	0.0789797	+	0.0579962i
$171$	3.19426	+	4.00547i	0.244271	+	0.306306i
$172$	4.38636	+	7.51354i	0.334457	+	0.572902i
$173$	−9.50780	+	2.17009i	−0.722864	+	0.164989i	−0.568097	−	0.822962i	$-0.692320\pi$
$173$	−9.50780	+	2.17009i	−0.722864	+	0.164989i	−0.154768	+	0.987951i	$0.549463\pi$
$174$	0.886162	+	0.650725i	0.0671798	+	0.0493313i
$175$	−5.76082	+	10.4643i	−0.435477	+	0.791025i
$176$	−0.427397	−	0.241295i	−0.0322163	−	0.0181883i
$177$	−9.27410			−0.697084
$178$	9.08313	+	10.5035i	0.680810	+	0.787270i
$179$	−11.0280	−	2.51708i	−0.824274	−	0.188135i	−0.210477	−	0.977599i	$-0.567502\pi$
$179$	−11.0280	−	2.51708i	−0.824274	−	0.188135i	−0.613797	+	0.789464i	$0.710359\pi$
$180$	−1.32915	+	0.417013i	−0.0990687	+	0.0310823i
$181$	18.2577	−	14.5600i	1.35708	−	1.08224i	0.368816	−	0.929502i	$-0.379763\pi$
$181$	18.2577	−	14.5600i	1.35708	−	1.08224i	0.988267	−	0.152735i	$-0.0488082\pi$
$182$	11.8251	+	2.88170i	0.876531	+	0.213606i
$183$	−7.58545	−	6.04920i	−0.560733	−	0.447169i
$184$	1.12792	+	3.15017i	0.0831513	+	0.232234i
$185$	−0.631792	−	0.503837i	−0.0464502	−	0.0370428i
$186$	0.540605	−	1.24727i	0.0396391	−	0.0914543i
$187$	0.0992261	+	0.124426i	0.00725613	+	0.00909890i
$188$	−12.2562	+	18.1640i	−0.893874	+	1.32474i
$189$	2.15524	−	1.53459i	0.156770	−	0.111625i
$190$	−4.63023	−	2.00688i	−0.335912	−	0.145595i
$191$	−0.944839	+	1.96198i	−0.0683662	+	0.141964i	−0.932351	−	0.361553i	$-0.882247\pi$
$191$	−0.944839	+	1.96198i	−0.0683662	+	0.141964i	0.863985	+	0.503517i	$0.167961\pi$
$192$	7.82434	+	1.66722i	0.564673	+	0.120321i
$193$	21.4045	+	10.3079i	1.54073	+	0.741977i	0.995360	−	0.0962185i	$-0.0306747\pi$
$193$	21.4045	+	10.3079i	1.54073	+	0.741977i	0.545370	+	0.838195i	$0.316389\pi$
$194$	0.569292	−	0.0226752i	0.0408728	−	0.00162799i
$195$	−2.26567			−0.162248
$196$	9.04547	−	10.6855i	0.646105	−	0.763248i
$197$	−22.1991			−1.58162			−0.790810	−	0.612061i	$-0.790341\pi$
$197$	−22.1991			−1.58162			−0.790810	+	0.612061i	$0.790341\pi$
$198$	−0.173389	+	0.00690619i	−0.0123222	+	0.000490802i
$199$	−22.0244	−	10.6064i	−1.56127	−	0.751869i	−0.564006	−	0.825770i	$-0.690741\pi$
$199$	−22.0244	−	10.6064i	−1.56127	−	0.751869i	−0.997266	+	0.0739016i	$0.976455\pi$
$200$	−8.96422	+	9.09477i	−0.633866	+	0.643098i
$201$	2.89879	−	6.01941i	0.204465	−	0.424576i
$202$	−10.1452	−	4.39724i	−0.713815	−	0.309389i
$203$	2.02719	−	0.347885i	0.142281	−	0.0244168i
$204$	−2.15031	−	1.45092i	−0.150552	−	0.101585i
$205$	1.08833	+	1.36472i	0.0760120	+	0.0953160i
$206$	4.03166	−	9.30174i	0.280899	−	0.648083i
$207$	0.924902	+	0.737585i	0.0642851	+	0.0512657i
$208$	11.3304	+	6.39683i	0.785625	+	0.443540i
$209$	−0.491479	−	0.391941i	−0.0339963	−	0.0271111i
$210$	−1.16500	+	2.33123i	−0.0803924	+	0.160870i
$211$	0.577681	−	0.460685i	0.0397692	−	0.0317149i	−0.603404	−	0.797436i	$-0.706189\pi$
$211$	0.577681	−	0.460685i	0.0397692	−	0.0317149i	0.643173	+	0.765721i	$0.277618\pi$
$212$	−1.30901	−	4.17220i	−0.0899028	−	0.286548i
$213$	−2.49309	−	0.569033i	−0.170824	−	0.0389895i
$214$	5.71946	+	6.61384i	0.390975	+	0.452113i
$215$	−3.02991			−0.206638
$216$	2.66288	−	0.953445i	0.181186	−	0.0648737i
$217$	−0.977120	−	2.34798i	−0.0663312	−	0.159391i
$218$	9.79603	+	7.19340i	0.663471	+	0.487199i
$219$	1.96884	−	0.449374i	0.133042	−	0.0303659i
$220$	0.147614	−	0.0861760i	0.00995212	−	0.00580999i
$221$	−2.63052	−	3.29856i	−0.176948	−	0.221885i
$222$	1.32250	+	0.971134i	0.0887602	+	0.0651782i
$223$	−3.94453	−	17.2821i	−0.264146	−	1.15730i	−0.916707	−	0.399561i	$-0.869163\pi$
$223$	−3.94453	−	17.2821i	−0.264146	−	1.15730i	0.652561	−	0.757736i	$-0.273695\pi$
$224$	12.4080	−	8.36910i	0.829044	−	0.559184i
$225$	−1.00465	+	4.40167i	−0.0669768	+	0.293445i
$226$	−1.43111	+	1.23759i	−0.0951961	+	0.0823229i
$227$	2.26503			0.150335			0.0751677	−	0.997171i	$-0.476051\pi$
$227$	2.26503			0.150335			0.0751677	+	0.997171i	$0.476051\pi$
$228$	9.55602	+	3.69741i	0.632863	+	0.244867i
$229$	−11.6124	−	24.1135i	−0.767371	−	1.59346i	−0.804357	−	0.594147i	$-0.797490\pi$
$229$	−11.6124	−	24.1135i	−0.767371	−	1.59346i	0.0369856	−	0.999316i	$-0.488224\pi$
$230$	−1.14548	−	0.213878i	−0.0755305	−	0.0141027i
$231$	−0.215921	+	0.242422i	−0.0142066	+	0.0159502i
$232$	2.18674	+	0.230391i	0.143566	+	0.0151259i
$233$	3.69083	−	16.1706i	0.241794	−	1.05937i	−0.697588	−	0.716499i	$-0.745744\pi$
$233$	3.69083	−	16.1706i	0.241794	−	1.05937i	0.939383	−	0.342871i	$-0.111399\pi$
$234$	4.59660	−	0.183085i	0.300489	−	0.0119687i
$235$	−3.31100	−	6.87536i	−0.215986	−	0.448499i
$236$	−16.0183	+	9.35140i	−1.04270	+	0.608725i
$237$	4.43842	−	9.21648i	0.288307	−	0.598675i
$238$	−4.74661	+	1.01053i	−0.307677	+	0.0655030i
$239$	−13.1253	−	27.2550i	−0.849005	−	1.76298i	−0.610845	−	0.791750i	$-0.709170\pi$
$239$	−13.1253	−	27.2550i	−0.849005	−	1.76298i	−0.238159	−	0.971226i	$-0.576544\pi$
$240$	−1.87523	+	2.06050i	−0.121045	+	0.133004i
$241$	17.2040	−	3.92669i	1.10820	−	0.252940i	0.371015	−	0.928627i	$-0.379010\pi$
$241$	17.2040	−	3.92669i	1.10820	−	0.252940i	0.737189	+	0.675686i	$0.236153\pi$
$242$	−14.9960	+	4.05692i	−0.963978	+	0.260788i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	−19.2013	−	2.79956i	−1.22924	−	0.179223i
$245$	1.62553	+	4.59665i	0.103851	+	0.293669i
$246$	−2.31828	−	2.68080i	−0.147808	−	0.170922i
$247$	13.0293	+	10.3905i	0.829032	+	0.661131i
$248$	−0.323929	−	2.69941i	−0.0205695	−	0.171413i
$249$	−2.19241	−	9.60557i	−0.138938	−	0.608728i
$250$	−2.44755	−	9.04711i	−0.154796	−	0.572190i
$251$	−22.5416	+	10.8555i	−1.42281	+	0.685190i	−0.977646	−	0.210258i	$-0.932570\pi$
$251$	−22.5416	+	10.8555i	−1.42281	+	0.685190i	−0.445166	+	0.895448i	$0.646855\pi$
$252$	2.17517	−	4.82376i	0.137023	−	0.303868i
$253$	−0.130781	−	0.0629806i	−0.00822211	−	0.00395956i
$254$	−5.49495	+	29.4296i	−0.344784	+	1.84657i
$255$	0.813927	−	0.391967i	0.0509701	−	0.0245459i
$256$	15.1954	−	5.00992i	0.949714	−	0.313120i
$257$	−19.2436	−	4.39223i	−1.20038	−	0.273980i	−0.424837	−	0.905270i	$-0.639669\pi$
$257$	−19.2436	−	4.39223i	−1.20038	−	0.273980i	−0.775547	+	0.631290i	$0.782526\pi$
$258$	6.14709	−	0.244842i	0.382701	−	0.0152432i
$259$	3.02536	−	0.519180i	0.187987	−	0.0322603i
$260$	−3.91329	+	2.28456i	−0.242692	+	0.141682i
$261$	0.700420	−	0.337305i	0.0433549	−	0.0208786i
$262$	−14.5099	−	27.2947i	−0.896427	−	1.68627i
$263$			22.3923i			1.38077i	0.723443	+	0.690384i	$0.242559\pi$
$263$			22.3923i			1.38077i	−0.723443	+	0.690384i	$0.757441\pi$
$264$	−0.292516	+	0.186763i	−0.0180031	+	0.0114945i
$265$	1.48465	+	0.338862i	0.0912015	+	0.0208161i
$266$	17.3907	−	8.06355i	1.06630	−	0.494408i
$267$	9.57285	−	2.18494i	0.585849	−	0.133716i
$268$	−1.06275	−	13.3197i	−0.0649179	−	0.813633i
$269$	12.9670	−	10.3408i	0.790611	−	0.630491i	−0.142616	−	0.989778i	$-0.545551\pi$
$269$	12.9670	−	10.3408i	0.790611	−	0.630491i	0.933227	+	0.359287i	$0.116980\pi$
$270$	−0.180794	+	0.968286i	−0.0110028	+	0.0589280i
$271$	−2.18087	−	9.55500i	−0.132478	−	0.580425i	−0.996971	−	0.0777792i	$-0.975217\pi$
$271$	−2.18087	−	9.55500i	−0.132478	−	0.580425i	0.864492	−	0.502646i	$-0.167640\pi$
$272$	−5.17705	−	0.337822i	−0.313905	−	0.0204835i
$273$	5.72414	−	6.42668i	0.346441	−	0.388961i
$274$	9.48445	+	17.8413i	0.572976	+	1.07783i
$275$		−	0.553983i		−	0.0334064i
$276$	2.34123	+	0.341353i	0.140926	+	0.0205470i
$277$	−5.23424	+	22.9327i	−0.314495	+	1.37789i	0.532563	+	0.846391i	$0.321229\pi$
$277$	−5.23424	+	22.9327i	−0.314495	+	1.37789i	−0.847057	+	0.531501i	$0.821628\pi$
$278$	1.11750	−	2.57827i	0.0670233	−	0.154635i
$279$	−0.599319	−	0.751522i	−0.0358803	−	0.0449925i
$280$	0.338469	+	5.20124i	0.0202274	+	0.310833i
$281$	5.96343	−	7.47791i	0.355749	−	0.446095i	−0.571466	−	0.820626i	$-0.693625\pi$
$281$	5.96343	−	7.47791i	0.355749	−	0.446095i	0.927214	+	0.374531i	$0.122196\pi$
$282$	7.27297	+	13.6812i	0.433099	+	0.814705i
$283$	−4.78770	+	6.00359i	−0.284600	+	0.356877i	−0.903496	−	0.428596i	$-0.859008\pi$
$283$	−4.78770	+	6.00359i	−0.284600	+	0.356877i	0.618897	+	0.785472i	$0.287580\pi$
$284$	−4.87988	+	1.53104i	−0.289567	+	0.0908503i
$285$	−2.78987	+	2.22485i	−0.165258	+	0.131789i
$286$	−0.544872	+	0.147406i	−0.0322190	+	0.00871631i
$287$	−6.62071	−	0.360825i	−0.390808	−	0.0212988i
$288$	3.63797	−	4.33188i	0.214369	−	0.255258i
$289$	−13.8008	−	6.64612i	−0.811813	−	0.390948i
$290$	−0.453239	+	0.617225i	−0.0266151	+	0.0362447i
$291$	0.174799	−	0.362973i	0.0102469	−	0.0212779i
$292$	2.94748	−	2.76141i	0.172488	−	0.161599i
$293$			14.8674i			0.868563i	0.900777	+	0.434281i	$0.142998\pi$
$293$			14.8674i			0.868563i	−0.900777	+	0.434281i	$0.857002\pi$
$294$	−3.66933	−	9.19435i	−0.213999	−	0.536225i
$295$		−	6.45955i		−	0.376089i
$296$	3.26346	+	0.343832i	0.189685	+	0.0199848i
$297$	−0.0532383	+	0.110551i	−0.00308920	+	0.00641479i
$298$	−8.38682	−	6.15860i	−0.485836	−	0.356758i
$299$	3.46704	+	1.66964i	0.200504	+	0.0965577i
$300$	2.70311	+	8.61564i	0.156064	+	0.497424i
$301$	7.65496	−	8.59448i	0.441224	−	0.495377i
$302$	4.52074	+	16.7105i	0.260139	+	0.961579i
$303$	−6.11283	+	4.87482i	−0.351173	+	0.280051i
$304$	20.2335	−	3.24946i	1.16047	−	0.186369i
$305$	4.21335	−	5.28338i	0.241256	−	0.302525i
$306$	−1.61963	+	0.860996i	−0.0925878	+	0.0492199i
$307$	−0.527075	+	0.660931i	−0.0300818	+	0.0377213i	−0.796645	−	0.604448i	$-0.793394\pi$
$307$	−0.527075	+	0.660931i	−0.0300818	+	0.0377213i	0.766563	+	0.642169i	$0.221965\pi$
$308$	−0.128499	+	0.636434i	−0.00732190	+	0.0362642i
$309$	−4.46953	−	5.60461i	−0.254263	−	0.318835i
$310$	0.868742	+	0.376539i	0.0493412	+	0.0213860i
$311$	−2.24452	+	9.83386i	−0.127275	+	0.557627i	0.870572	+	0.492041i	$0.163749\pi$
$311$	−2.24452	+	9.83386i	−0.127275	+	0.557627i	−0.997847	+	0.0655864i	$0.979108\pi$
$312$	7.75470	−	4.95115i	0.439023	−	0.280304i
$313$		−	26.5397i		−	1.50012i	−0.661373	−	0.750058i	$-0.730026\pi$
$313$		−	26.5397i		−	1.50012i	0.661373	−	0.750058i	$-0.269974\pi$
$314$	10.9577	−	5.82514i	0.618379	−	0.328732i
$315$	1.06886	+	1.50115i	0.0602236	+	0.0845804i
$316$	−1.62721	−	20.3942i	−0.0915377	−	1.14726i
$317$	−7.58890	−	33.2491i	−0.426235	−	1.86746i	−0.493536	−	0.869725i	$-0.664296\pi$
$317$	−7.58890	−	33.2491i	−0.426235	−	1.86746i	0.0673008	−	0.997733i	$-0.478561\pi$
$318$	−3.03946	−	0.567513i	−0.170444	−	0.0318246i
$319$	−0.0745784	+	0.0594743i	−0.00417559	+	0.00332992i
$320$	−1.16125	+	5.44977i	−0.0649156	+	0.304651i
$321$	6.02783	−	1.37581i	0.336440	−	0.0767903i
$322$	3.50069	−	2.70885i	0.195086	−	0.150958i
$323$	−6.47826	−	1.47862i	−0.360460	−	0.0822726i
$324$	0.288550	−	1.97908i	0.0160306	−	0.109949i
$325$			14.6863i			0.814647i
$326$	11.1183	−	5.91053i	0.615788	−	0.327354i
$327$	7.74276	−	3.72872i	0.428175	−	0.206198i
$328$	−6.70731	−	2.29270i	−0.370349	−	0.126593i
$329$	27.8674	+	7.97857i	1.53638	+	0.439873i
$330$	−0.00481026	−	0.120768i	−0.000264796	−	0.00664806i
$331$	29.7675	+	6.79424i	1.63617	+	0.373445i	0.939123	−	0.343581i	$-0.111640\pi$
$331$	29.7675	+	6.79424i	1.63617	+	0.373445i	0.697047	+	0.717026i	$0.254497\pi$
$332$	−13.4724	−	14.3802i	−0.739393	−	0.789214i
$333$	1.04530	−	0.503389i	0.0572820	−	0.0275856i
$334$	6.64163	+	1.24009i	0.363414	+	0.0678549i
$335$	4.19260	+	2.01905i	0.229066	+	0.110313i
$336$	−1.10699	−	10.5249i	−0.0603914	−	0.574183i
$337$	4.25611	−	2.04963i	0.231845	−	0.111651i	−0.314355	−	0.949306i	$-0.601788\pi$
$337$	4.25611	−	2.04963i	0.231845	−	0.111651i	0.546200	+	0.837655i	$0.316074\pi$
$338$	−3.30207	+	0.893321i	−0.179609	+	0.0485903i
$339$	0.297700	+	1.30431i	0.0161688	+	0.0708404i
$340$	1.01059	−	1.49772i	0.0548069	−	0.0812253i
$341$	0.0922132	+	0.0735376i	0.00499362	+	0.00398228i
$342$	5.48032	−	4.73923i	0.296342	−	0.256268i
$343$	−17.1455	−	7.00239i	−0.925767	−	0.378094i
$344$	10.3704	−	6.62123i	0.559137	−	0.356993i
$345$	−0.513739	+	0.644208i	−0.0276588	+	0.0346830i
$346$	3.60168	+	13.3133i	0.193628	+	0.715725i
$347$	−27.4387	+	6.26270i	−1.47299	+	0.336199i	−0.882294	−	0.470698i	$-0.844002\pi$
$347$	−27.4387	+	6.26270i	−1.47299	+	0.336199i	−0.590692	+	0.806897i	$0.701145\pi$
$348$	0.869657	−	1.28885i	0.0466185	−	0.0690899i
$349$	−5.09984	−	10.5899i	−0.272988	−	0.566866i	0.718731	−	0.695288i	$-0.244723\pi$
$349$	−5.09984	−	10.5899i	−0.272988	−	0.566866i	−0.991720	+	0.128422i	$0.959009\pi$
$350$	15.1112	+	7.55161i	0.807730	+	0.403650i
$351$	1.41137	−	2.93073i	0.0753332	−	0.156431i
$352$	−0.316917	+	0.617533i	−0.0168917	+	0.0329146i
$353$	2.94236	+	6.10987i	0.156606	+	0.325195i	0.964478	−	0.264162i	$-0.0850953\pi$
$353$	2.94236	+	6.10987i	0.156606	+	0.325195i	−0.807873	+	0.589357i	$0.799381\pi$
$354$	0.521986	+	13.1052i	0.0277433	+	0.696532i
$355$	0.396339	−	1.73648i	0.0210355	−	0.0921626i
$356$	14.3312	−	13.4265i	0.759551	−	0.711603i
$357$	−0.944528	+	3.29903i	−0.0499897	+	0.174603i
$358$	−2.93616	+	15.7253i	−0.155181	+	0.831109i
$359$	−7.28016	−	15.1174i	−0.384232	−	0.797866i	−0.999951	−	0.00990001i	$-0.996849\pi$
$359$	−7.28016	−	15.1174i	−0.384232	−	0.797866i	0.615719	−	0.787966i	$-0.288866\pi$
$360$	0.664088	+	1.85474i	0.0350005	+	0.0977532i
$361$	7.24707			0.381425
$362$	−21.6023	−	24.9803i	−1.13539	−	1.31294i
$363$	−2.44438	+	10.7095i	−0.128297	+	0.562104i
$364$	3.40655	−	16.8721i	0.178552	−	0.884338i
$365$	0.312996	+	1.37132i	0.0163829	+	0.0717784i
$366$	−8.12113	+	11.0594i	−0.424499	+	0.578085i
$367$	8.23779	+	10.3299i	0.430009	+	0.539214i	0.948879	−	0.315639i	$-0.102219\pi$
$367$	8.23779	+	10.3299i	0.430009	+	0.539214i	−0.518870	+	0.854853i	$0.673647\pi$
$368$	4.38801	−	1.77116i	0.228741	−	0.0923281i
$369$	−2.44327	+	0.557661i	−0.127192	+	0.0290307i
$370$	−0.676409	+	0.921139i	−0.0351648	+	0.0478877i
$371$	−4.71213	+	3.35516i	−0.244641	+	0.174191i
$372$	−1.79294	−	0.693723i	−0.0929595	−	0.0359679i
$373$	12.8633			0.666035			0.333017	−	0.942921i	$-0.391933\pi$
$373$	12.8633			0.666035			0.333017	+	0.942921i	$0.391933\pi$
$374$	0.170240	−	0.147219i	0.00880290	−	0.00761251i
$375$	−6.46108	−	1.47470i	−0.333649	−	0.0761532i
$376$	26.3572	+	16.2968i	1.35927	+	0.840442i
$377$	1.97710	−	1.57668i	0.101826	−	0.0812033i
$378$	−2.28982	−	2.95918i	−0.117776	−	0.152204i
$379$	8.12447	+	6.47905i	0.417326	+	0.332806i	0.809537	−	0.587069i	$-0.199718\pi$
$379$	8.12447	+	6.47905i	0.417326	+	0.332806i	−0.392211	+	0.919875i	$0.628290\pi$
$380$	−2.57530	+	6.65590i	−0.132110	+	0.341441i
$381$	16.5510	+	13.1990i	0.847931	+	0.676203i
$382$	2.82564	+	1.22472i	0.144572	+	0.0626620i
$383$	−11.4316	−	14.3348i	−0.584129	−	0.732474i	0.398682	−	0.917089i	$-0.369468\pi$
$383$	−11.4316	−	14.3348i	−0.584129	−	0.732474i	−0.982811	+	0.184615i	$0.940896\pi$
$384$	1.91555	−	11.1504i	0.0977527	−	0.569015i
$385$	−0.168850	−	0.150392i	−0.00860541	−	0.00766469i
$386$	13.3612	−	30.8267i	0.680069	−	1.56904i
$387$	1.88744	−	3.91930i	0.0959438	−	0.199229i
$388$	−0.0640845	−	0.803187i	−0.00325340	−	0.0407756i
$389$	−29.5298	−	14.2208i	−1.49722	−	0.721024i	−0.507185	−	0.861837i	$-0.669314\pi$
$389$	−29.5298	−	14.2208i	−1.49722	−	0.721024i	−0.990036	+	0.140813i	$0.955028\pi$
$390$	0.127522	+	3.20160i	0.00645731	+	0.162119i
$391$	−1.53436			−0.0775961
$392$	−15.6087	−	12.1807i	−0.788358	−	0.615217i
$393$	−21.8580			−1.10259
$394$	1.24946	+	31.3694i	0.0629470	+	1.58037i
$395$	6.41941	+	3.09143i	0.322996	+	0.155547i
$396$	0.0195182	+	0.244626i	0.000980826	+	0.0122929i
$397$	1.37786	−	2.86115i	0.0691526	−	0.143597i	−0.863527	−	0.504302i	$-0.831750\pi$
$397$	1.37786	−	2.86115i	0.0691526	−	0.143597i	0.932680	+	0.360705i	$0.117464\pi$
$398$	−13.7482	+	31.7196i	−0.689136	+	1.58996i
$399$	0.737628	−	13.5346i	0.0369276	−	0.677578i
$400$	13.3563	+	12.1554i	0.667815	+	0.607770i
$401$	21.4469	+	26.8935i	1.07100	+	1.34300i	0.935940	+	0.352161i	$0.114553\pi$
$401$	21.4469	+	26.8935i	1.07100	+	1.34300i	0.135065	+	0.990837i	$0.456876\pi$
$402$	−8.66914	−	3.75747i	−0.432377	−	0.187405i
$403$	−2.44460	−	1.94951i	−0.121774	−	0.0971118i
$404$	−5.64270	+	14.5836i	−0.280735	+	0.725563i
$405$	0.544557	+	0.434270i	0.0270593	+	0.0215790i
$406$	−0.605694	−	2.84503i	−0.0300601	−	0.141197i
$407$	−0.111300	+	0.0887587i	−0.00551693	+	0.00439961i
$408$	−1.92926	+	3.12025i	−0.0955127	+	0.154475i
$409$	−5.04527	−	1.15155i	−0.249473	−	0.0569405i	0.0959559	−	0.995386i	$-0.469409\pi$
$409$	−5.04527	−	1.15155i	−0.249473	−	0.0569405i	−0.345428	+	0.938445i	$0.612266\pi$
$410$	1.86722	−	1.61472i	0.0922153	−	0.0797453i
$411$	14.2875			0.704750
$412$	−13.3711	−	5.17356i	−0.658749	−	0.254883i
$413$	18.3228	+	16.3198i	0.901607	+	0.803046i
$414$	0.990218	−	1.34849i	0.0486666	−	0.0662745i
$415$	6.69042	−	1.52704i	0.328420	−	0.0749597i
$416$	8.40158	−	16.3710i	0.411921	−	0.802655i
$417$	−1.23887	−	1.55350i	−0.0606678	−	0.0760751i
$418$	−0.526187	+	0.716565i	−0.0257366	+	0.0350484i
$419$	−1.35238	−	5.92518i	−0.0660683	−	0.289464i	0.931091	−	0.364787i	$-0.118858\pi$
$419$	−1.35238	−	5.92518i	−0.0660683	−	0.289464i	−0.997159	+	0.0753231i	$0.976001\pi$
$420$	3.35982	+	1.51504i	0.163942	+	0.0739262i
$421$	−2.54914	+	11.1685i	−0.124237	+	0.544320i	0.874051	+	0.485834i	$0.161484\pi$
$421$	−2.54914	+	11.1685i	−0.124237	+	0.544320i	−0.998288	+	0.0584852i	$0.981373\pi$
$422$	−0.683506	−	0.790388i	−0.0332725	−	0.0384755i
$423$	10.9561			0.532703
$424$	−5.82203	+	2.08458i	−0.282743	+	0.101236i
$425$	−2.54076	−	5.27594i	−0.123245	−	0.255921i
$426$	−0.663774	+	3.55500i	−0.0321599	+	0.172240i
$427$	4.34166	+	25.2997i	0.210108	+	1.22434i
$428$	9.02405	−	8.45439i	0.436194	−	0.408658i
$429$	−0.0888154	+	0.389126i	−0.00428805	+	0.0187872i
$430$	0.170536	+	4.28154i	0.00822399	+	0.206474i
$431$	−8.15986	−	16.9441i	−0.393047	−	0.816170i	−0.999774	−	0.0212598i	$-0.993232\pi$
$431$	−8.15986	−	16.9441i	−0.393047	−	0.816170i	0.606727	−	0.794910i	$-0.292482\pi$
$432$	−1.49718	−	3.70924i	−0.0720333	−	0.178461i
$433$	0.327819	−	0.680723i	0.0157540	−	0.0327135i	−0.892943	−	0.450169i	$-0.851364\pi$
$433$	0.327819	−	0.680723i	0.0157540	−	0.0327135i	0.908697	+	0.417456i	$0.137078\pi$
$434$	−3.26292	+	1.51292i	−0.156625	+	0.0726223i
$435$	0.234938	+	0.487853i	0.0112644	+	0.0233908i
$436$	9.61358	−	14.2476i	0.460407	−	0.682335i
$437$	5.90875	−	1.34863i	0.282654	−	0.0645139i
$438$	−0.745822	−	2.75686i	−0.0356368	−	0.131728i
$439$	−10.0365	+	12.5854i	−0.479016	+	0.600667i	−0.961353	−	0.275319i	$-0.911217\pi$
$439$	−10.0365	+	12.5854i	−0.479016	+	0.600667i	0.482337	+	0.875986i	$0.339788\pi$
$440$	−0.130083	−	0.203742i	−0.00620147	−	0.00971300i
$441$	−6.95854	−	0.760733i	−0.331359	−	0.0362254i
$442$	−4.51312	+	3.90282i	−0.214667	+	0.185638i
$443$	9.22961	+	7.36037i	0.438512	+	0.349702i	0.817726	−	0.575607i	$-0.195234\pi$
$443$	9.22961	+	7.36037i	0.438512	+	0.349702i	−0.379214	+	0.925309i	$0.623806\pi$
$444$	1.29787	−	1.92347i	0.0615940	−	0.0912839i
$445$	1.52184	+	6.66763i	0.0721423	+	0.316076i
$446$	−24.1992	+	6.54671i	−1.14587	+	0.309996i
$447$	−6.62892	+	3.19232i	−0.313537	+	0.150992i
$448$	−12.5247	−	17.0626i	−0.591736	−	0.806132i
$449$	32.4627	+	15.6332i	1.53201	+	0.737778i	0.994427	−	0.105432i	$-0.0336224\pi$
$449$	32.4627	+	15.6332i	1.53201	+	0.737778i	0.537585	+	0.843210i	$0.319337\pi$
$450$	6.27652	+	1.17192i	0.295878	+	0.0552450i
$451$	0.277051	−	0.133421i	0.0130458	−	0.00628255i
$452$	1.82937	+	1.95264i	0.0860464	+	0.0918443i
$453$	11.9339	+	2.72385i	0.560706	+	0.127977i
$454$	−0.127486	−	3.20070i	−0.00598321	−	0.150216i
$455$	4.47628	+	3.98695i	0.209851	+	0.186911i
$456$	4.68693	−	13.7116i	0.219486	−	0.642107i
$457$	−16.0876	+	7.74737i	−0.752545	+	0.362407i	−0.770507	−	0.637432i	$-0.779997\pi$
$457$	−16.0876	+	7.74737i	−0.752545	+	0.362407i	0.0179614	+	0.999839i	$0.494282\pi$
$458$	−33.4210	+	17.7667i	−1.56166	+	0.830181i
$459$			1.29702i			0.0605395i
$460$	−0.237757	+	1.63070i	−0.0110855	+	0.0760320i
$461$	−3.17726	−	0.725190i	−0.147980	−	0.0337754i	0.147889	−	0.989004i	$-0.452752\pi$
$461$	−3.17726	−	0.725190i	−0.147980	−	0.0337754i	−0.295869	+	0.955228i	$0.595609\pi$
$462$	0.354717	+	0.291472i	0.0165029	+	0.0135605i
$463$	16.5708	−	3.78218i	0.770111	−	0.175773i	0.180626	−	0.983552i	$-0.442188\pi$
$463$	16.5708	−	3.78218i	0.770111	−	0.175773i	0.589485	+	0.807779i	$0.299331\pi$
$464$	0.202484	−	3.10303i	0.00940009	−	0.144055i
$465$	0.523446	−	0.417434i	0.0242742	−	0.0193581i
$466$	−23.0583	−	4.30533i	−1.06815	−	0.199441i
$467$	4.50584	+	19.7414i	0.208505	+	0.913521i	0.965562	+	0.260172i	$0.0837793\pi$
$467$	4.50584	+	19.7414i	0.208505	+	0.913521i	−0.757057	+	0.653349i	$0.773364\pi$
$468$	−0.517434	−	6.48513i	−0.0239184	−	0.299775i
$469$	−16.3196	+	6.79146i	−0.753570	+	0.313600i
$470$	−9.52917	+	5.06573i	−0.439548	+	0.233665i
$471$		−	8.77506i		−	0.404334i
$472$	14.1160	+	22.1091i	0.649741	+	1.01765i
$473$	−0.118774	+	0.520382i	−0.00546123	+	0.0239272i
$474$	−13.2736	−	5.75316i	−0.609675	−	0.264251i
$475$	14.4216	+	18.0842i	0.661710	+	0.829759i
$476$	1.69513	+	6.65053i	0.0776964	+	0.304827i
$477$	−1.36317	+	1.70937i	−0.0624155	+	0.0782665i
$478$	−37.7750	+	20.0813i	−1.72779	+	0.918497i
$479$	−8.50632	+	10.6666i	−0.388664	+	0.487369i	−0.937217	−	0.348747i	$-0.886607\pi$
$479$	−8.50632	+	10.6666i	−0.388664	+	0.487369i	0.548553	+	0.836116i	$0.315179\pi$
$480$	3.01722	+	2.53390i	0.137716	+	0.115656i
$481$	2.95060	−	2.35302i	0.134536	−	0.107289i
$482$	−6.51709	−	24.0898i	−0.296846	−	1.09726i
$483$	−0.529383	−	3.08481i	−0.0240878	−	0.140364i
$484$	6.57684	+	20.9624i	0.298947	+	0.952835i
$485$	0.252816	+	0.121750i	0.0114798	+	0.00552837i
$486$	−1.13989	−	0.837044i	−0.0517066	−	0.0379691i
$487$	3.70531	−	7.69415i	0.167903	−	0.348655i	−0.799991	−	0.600012i	$-0.795162\pi$
$487$	3.70531	−	7.69415i	0.167903	−	0.348655i	0.967894	+	0.251357i	$0.0808768\pi$
$488$	−2.87531	+	27.2908i	−0.130159	+	1.23540i
$489$		−	8.90370i		−	0.402639i
$490$	6.40400	−	2.55574i	0.289303	−	0.115457i
$491$		−	12.1307i		−	0.547450i	−0.961808	−	0.273725i	$-0.911744\pi$
$491$		−	12.1307i		−	0.547450i	0.961808	−	0.273725i	$-0.0882558\pi$
$492$	−3.65774	+	3.42684i	−0.164904	+	0.154494i
$493$	−0.437489	+	0.908456i	−0.0197035	+	0.0409148i
$494$	13.9494	−	18.9964i	0.627613	−	0.854688i
$495$	−0.0770001	−	0.0370813i	−0.00346090	−	0.00166668i
$496$	−3.79629	+	0.609676i	−0.170458	+	0.0273753i
$497$	3.92426	+	5.51139i	0.176027	+	0.247220i
$498$	−13.4502	+	3.63872i	−0.602716	+	0.163055i
$499$	24.9920	−	19.9305i	1.11880	−	0.892211i	0.123819	−	0.992305i	$-0.460486\pi$
$499$	24.9920	−	19.9305i	1.11880	−	0.892211i	0.994978	+	0.100094i	$0.0319143\pi$
$500$	−12.6467	+	3.96782i	−0.565576	+	0.177446i
$501$	2.97872	−	3.73520i	0.133080	−	0.166876i
$502$	16.6085	+	31.2424i	0.741274	+	1.39442i
$503$	−11.9177	+	14.9443i	−0.531383	+	0.666333i	−0.972982	−	0.230879i	$-0.925840\pi$
$503$	−11.9177	+	14.9443i	−0.531383	+	0.666333i	0.441599	+	0.897212i	$0.354411\pi$
$504$	−6.93885	−	2.80221i	−0.309081	−	0.124820i
$505$	−3.39538	−	4.25768i	−0.151093	−	0.189464i
$506$	−0.0816366	+	0.188350i	−0.00362919	+	0.00837318i
$507$	−0.538245	+	2.35821i	−0.0239043	+	0.104732i
$508$	41.8960	+	6.10846i	1.85883	+	0.271019i
$509$		−	17.0623i		−	0.756274i	−0.925750	−	0.378137i	$-0.876565\pi$
$509$		−	17.0623i		−	0.756274i	0.925750	−	0.378137i	$-0.123435\pi$
$510$	−0.599697	−	1.12809i	−0.0265550	−	0.0499528i
$511$	−4.68060	−	2.57678i	−0.207058	−	0.113990i
$512$	−7.93474	−	21.1906i	−0.350669	−	0.936499i
$513$	−1.14002	−	4.99474i	−0.0503330	−	0.220523i
$514$	−5.12351	+	27.4402i	−0.225989	+	1.21034i
$515$	3.90369	−	3.11309i	0.172017	−	0.137179i
$516$	−0.691970	−	8.67263i	−0.0304623	−	0.381791i
$517$	−1.31063	+	0.299142i	−0.0576413	+	0.0131563i
$518$	−0.903930	−	4.24589i	−0.0397164	−	0.186554i
$519$	9.50780	+	2.17009i	0.417346	+	0.0952565i
$520$	3.44855	+	5.40126i	0.151229	+	0.236861i
$521$			10.7217i			0.469728i	0.972028	+	0.234864i	$0.0754645\pi$
$521$			10.7217i			0.469728i	−0.972028	+	0.234864i	$0.924536\pi$
$522$	−0.516065	−	0.970774i	−0.0225876	−	0.0424896i
$523$	−14.2581	+	6.86633i	−0.623463	+	0.300244i	−0.718817	−	0.695200i	$-0.755316\pi$
$523$	−14.2581	+	6.86633i	−0.623463	+	0.300244i	0.0953541	+	0.995443i	$0.469602\pi$
$524$	−37.7533	+	22.0402i	−1.64926	+	0.962829i
$525$	9.73060	−	6.92846i	0.424678	−	0.302383i
$526$	31.6424	−	1.26034i	1.37967	−	0.0549533i
$527$	1.21548	+	0.277425i	0.0529470	+	0.0120848i
$528$	0.280377	+	0.402840i	0.0122019	+	0.0175314i
$529$	−19.4614	+	9.37212i	−0.846148	+	0.407483i
$530$	0.395281	−	2.11702i	0.0171699	−	0.0919577i
$531$	8.35568	+	4.02388i	0.362605	+	0.174622i
$532$	−12.3734	−	24.1209i	−0.536454	−	1.04577i
$533$	−7.34473	+	3.53703i	−0.318135	+	0.153206i
$534$	−3.62632	−	13.4043i	−0.156926	−	0.580063i
$535$	0.958273	+	4.19847i	0.0414298	+	0.181516i
$536$	−18.7622	+	2.25146i	−0.810405	+	0.0972483i
$537$	8.84380	+	7.05269i	0.381638	+	0.304346i
$538$	−15.3424	−	17.7415i	−0.661457	−	0.764892i
$539$	0.853189	−	0.0989911i	0.0367495	−	0.00426385i
$540$	1.37845	+	0.200979i	0.0593192	+	0.00864878i
$541$	−14.5748	+	18.2762i	−0.626618	+	0.785754i	−0.989259	−	0.146175i	$-0.953304\pi$
$541$	−14.5748	+	18.2762i	−0.626618	+	0.785754i	0.362641	+	0.931929i	$0.381875\pi$
$542$	−13.3794	+	3.61957i	−0.574693	+	0.155474i
$543$	−22.7670	+	5.19641i	−0.977024	+	0.222999i
$544$	−0.185987	+	7.33467i	−0.00797411	+	0.314472i
$545$	2.59710	+	5.39294i	0.111248	+	0.231008i
$546$	−9.40368	−	7.72702i	−0.402440	−	0.330686i
$547$	11.0982	−	23.0457i	0.474526	−	0.985363i	−0.517064	−	0.855947i	$-0.672975\pi$
$547$	11.0982	−	23.0457i	0.474526	−	0.985363i	0.991590	−	0.129417i	$-0.0413105\pi$
$548$	24.6775	−	14.4066i	1.05417	−	0.615419i
$549$	4.20961	+	8.74134i	0.179662	+	0.373071i
$550$	−0.782829	+	0.0311805i	−0.0333799	+	0.00132954i
$551$	0.886258	−	3.88295i	0.0377559	−	0.165419i
$552$	0.350589	−	3.32759i	0.0149221	−	0.141632i
$553$	−24.9874	+	10.3986i	−1.06257	+	0.442193i
$554$	32.7006	+	6.10571i	1.38932	+	0.259407i
$555$	0.350618	+	0.728066i	0.0148829	+	0.0309047i
$556$	−3.70624	−	1.43402i	−0.157180	−	0.0608159i
$557$	−40.0770			−1.69812			−0.849058	−	0.528300i	$-0.822829\pi$
$557$	−40.0770			−1.69812			−0.849058	+	0.528300i	$0.822829\pi$
$558$	−1.02824	+	0.889193i	−0.0435288	+	0.0376425i
$559$	3.14874	−	13.7955i	0.133177	−	0.583488i
$560$	7.33078	−	0.771036i	0.309782	−	0.0325822i
$561$	−0.0354134	−	0.155156i	−0.00149515	−	0.00655070i
$562$	−10.9026	−	8.00600i	−0.459900	−	0.337713i
$563$	7.40313	+	9.28323i	0.312005	+	0.391242i	0.912965	−	0.408037i	$-0.133787\pi$
$563$	7.40313	+	9.28323i	0.312005	+	0.391242i	−0.600961	+	0.799279i	$0.705215\pi$
$564$	18.9235	−	11.0474i	0.796823	−	0.465180i
$565$	−0.908470	+	0.207352i	−0.0382196	+	0.00872338i
$566$	8.75311	+	6.42756i	0.367921	+	0.270171i
$567$	−2.60763	+	0.447494i	−0.109510	+	0.0187930i
$568$	2.43816	+	6.80955i	0.102303	+	0.285722i
$569$	4.40291			0.184580			0.0922898	−	0.995732i	$-0.470581\pi$
$569$	4.40291			0.184580			0.0922898	+	0.995732i	$0.470581\pi$
$570$	3.30094	+	3.81712i	0.138261	+	0.159882i
$571$	30.2200	+	6.89753i	1.26467	+	0.288653i	0.801703	−	0.597723i	$-0.203928\pi$
$571$	30.2200	+	6.89753i	1.26467	+	0.288653i	0.462967	+	0.886376i	$0.346785\pi$
$572$	0.238966	+	0.761658i	0.00999168	+	0.0318465i
$573$	1.70254	−	1.35773i	0.0711247	−	0.0567201i
$574$	−0.137237	+	9.37599i	−0.00572817	+	0.391346i
$575$	4.17581	+	3.33010i	0.174143	+	0.138875i
$576$	−6.32611	−	4.89697i	−0.263588	−	0.204040i
$577$	−28.5794	−	22.7913i	−1.18978	−	0.948815i	−0.190318	−	0.981723i	$-0.560952\pi$
$577$	−28.5794	−	22.7913i	−1.18978	−	0.948815i	−0.999458	+	0.0329079i	$0.989523\pi$
$578$	−8.61482	+	19.8759i	−0.358329	+	0.826729i
$579$	−14.8124	−	18.5741i	−0.615582	−	0.771915i
$580$	0.897706	+	0.605729i	0.0372752	+	0.0251515i
$581$	−12.5716	+	22.8357i	−0.521557	+	0.947386i
$582$	−0.522753	−	0.226577i	−0.0216688	−	0.00939192i
$583$	0.116398	−	0.241704i	0.00482072	−	0.0100103i
$584$	−4.06803	−	4.00964i	−0.168336	−	0.165920i
$585$	2.04130	+	0.983037i	0.0843973	+	0.0406436i
$586$	21.0090	−	0.836801i	0.867874	−	0.0345679i
$587$	34.6571			1.43045			0.715225	−	0.698894i	$-0.246324\pi$
$587$	34.6571			1.43045			0.715225	+	0.698894i	$0.246324\pi$
$588$	−12.7859	+	5.70260i	−0.527283	+	0.235171i
$589$	−4.92458			−0.202914
$590$	−9.12794	+	0.363571i	−0.375791	+	0.0149680i
$591$	20.0007	+	9.63183i	0.822719	+	0.396201i
$592$	0.302185	−	4.63093i	0.0124197	−	0.190330i
$593$	−18.5601	+	38.5404i	−0.762171	+	1.58266i	0.0496555	+	0.998766i	$0.484188\pi$
$593$	−18.5601	+	38.5404i	−0.762171	+	1.58266i	−0.811827	+	0.583898i	$0.801527\pi$
$594$	0.159215	+	0.0690085i	0.00653266	+	0.00283145i
$595$	−2.29783	−	0.657877i	−0.0942017	−	0.0269703i
$596$	−8.23062	+	12.1980i	−0.337139	+	0.499649i
$597$	15.2414	+	19.1121i	0.623789	+	0.782206i
$598$	2.16421	−	4.99322i	0.0885013	−	0.204188i
$599$	−9.50142	−	7.57713i	−0.388218	−	0.309593i	0.409859	−	0.912149i	$-0.365578\pi$
$599$	−9.50142	−	7.57713i	−0.388218	−	0.309593i	−0.798077	+	0.602556i	$0.794149\pi$
$600$	12.0226	−	4.30468i	0.490819	−	0.175738i
$601$	−2.89201	−	2.30630i	−0.117967	−	0.0940758i	0.562729	−	0.826641i	$-0.309751\pi$
$601$	−2.89201	−	2.30630i	−0.117967	−	0.0940758i	−0.680697	+	0.732565i	$0.738323\pi$
$602$	−12.5756	−	10.3334i	−0.512545	−	0.421159i
$603$	−5.22345	+	4.16556i	−0.212715	+	0.169635i
$604$	23.3590	−	7.32877i	0.950464	−	0.298203i
$605$	−7.45934	−	1.70255i	−0.303265	−	0.0692184i
$606$	7.23263	+	8.36362i	0.293806	+	0.339749i
$607$	12.7976			0.519440			0.259720	−	0.965684i	$-0.416370\pi$
$607$	12.7976			0.519440			0.259720	+	0.965684i	$0.416370\pi$
$608$	−5.73061	−	28.4089i	−0.232407	−	1.15213i
$609$	−1.97738	−	0.566132i	−0.0801275	−	0.0229408i
$610$	−7.70305	−	5.65649i	−0.311887	−	0.229025i
$611$	34.7452	−	7.93036i	1.40564	−	0.320828i
$612$	1.30783	+	2.24022i	0.0528658	+	0.0905556i
$613$	17.1369	+	21.4889i	0.692151	+	0.867930i	0.996410	−	0.0846590i	$-0.0269801\pi$
$613$	17.1369	+	21.4889i	0.692151	+	0.867930i	−0.304259	+	0.952589i	$0.598409\pi$
$614$	0.963624	+	0.707606i	0.0388887	+	0.0285567i
$615$	−0.388419	−	1.70178i	−0.0156626	−	0.0686222i
$616$	0.906574	+	0.145760i	0.0365269	+	0.00587282i
$617$	−6.45011	+	28.2598i	−0.259672	+	1.13770i	0.661932	+	0.749564i	$0.269737\pi$
$617$	−6.45011	+	28.2598i	−0.259672	+	1.13770i	−0.921604	+	0.388132i	$0.873120\pi$
$618$	−7.66827	+	6.63131i	−0.308463	+	0.266750i
$619$	−0.731191			−0.0293891			−0.0146945	−	0.999892i	$-0.504678\pi$
$619$	−0.731191			−0.0293891			−0.0146945	+	0.999892i	$0.504678\pi$
$620$	0.483188	−	1.24881i	0.0194053	−	0.0501533i
$621$	−0.513282	−	1.06584i	−0.0205973	−	0.0427707i
$622$	14.0225	+	2.61822i	0.562251	+	0.104981i
$623$	−22.7579	−	12.5288i	−0.911777	−	0.501954i
$624$	−7.43290	−	10.6794i	−0.297554	−	0.427520i
$625$	−3.99611	+	17.5081i	−0.159844	+	0.700324i
$626$	−37.5031	+	1.49377i	−1.49893	+	0.0597031i
$627$	0.272750	+	0.566371i	0.0108926	+	0.0226187i
$628$	−8.84821	−	15.1564i	−0.353082	−	0.604806i
$629$	−0.652904	+	1.35577i	−0.0260330	+	0.0540581i
$630$	2.06111	−	1.59489i	0.0821165	−	0.0635421i
$631$	−15.2834	−	31.7364i	−0.608424	−	1.26341i	−0.946626	−	0.322333i	$-0.895533\pi$
$631$	−15.2834	−	31.7364i	−0.608424	−	1.26341i	0.338202	−	0.941073i	$-0.390181\pi$
$632$	−28.7274	+	3.44727i	−1.14271	+	0.137125i
$633$	−0.720357	+	0.164417i	−0.0286316	+	0.00653498i
$634$	−46.5570	+	12.5952i	−1.84901	+	0.500220i
$635$	−9.19326	+	11.5280i	−0.364823	+	0.457474i
$636$	−0.630875	+	4.32698i	−0.0250158	+	0.171576i
$637$	−22.6183	+	2.62429i	−0.896171	+	0.103978i
$638$	0.0882403	+	0.102039i	0.00349347	+	0.00403975i
$639$	1.99931	+	1.59439i	0.0790913	+	0.0630732i
$640$	7.76639	+	1.33421i	0.306994	+	0.0527393i
$641$	−4.27042	−	18.7099i	−0.168671	−	0.738997i	−0.986530	−	0.163579i	$-0.947696\pi$
$641$	−4.27042	−	18.7099i	−0.168671	−	0.738997i	0.817859	−	0.575419i	$-0.195161\pi$
$642$	−2.28342	−	8.44044i	−0.0901195	−	0.333118i
$643$	27.7013	−	13.3402i	1.09243	−	0.526087i	0.201161	−	0.979558i	$-0.435529\pi$
$643$	27.7013	−	13.3402i	1.09243	−	0.526087i	0.891271	+	0.453471i	$0.149814\pi$
$644$	−4.02488	−	4.79433i	−0.158603	−	0.188923i
$645$	2.72985	+	1.31463i	0.107488	+	0.0517634i
$646$	−1.72480	+	9.23761i	−0.0678615	+	0.363449i
$647$	−27.4608	+	13.2244i	−1.07960	+	0.519906i	−0.887188	−	0.461409i	$-0.847344\pi$
$647$	−27.4608	+	13.2244i	−1.07960	+	0.519906i	−0.192409	+	0.981315i	$0.561630\pi$
$648$	−2.81286	−	0.296357i	−0.110500	−	0.0116420i
$649$	−1.10942	−	0.253218i	−0.0435485	−	0.00993966i
$650$	20.7531	−	0.826607i	0.814002	−	0.0324222i
$651$	−0.138397	+	2.53942i	−0.00542420	+	0.0995275i
$652$	−8.97792	−	15.3786i	−0.351602	−	0.602271i
$653$	38.4751	−	18.5286i	1.50565	−	0.725081i	0.514455	−	0.857517i	$-0.327994\pi$
$653$	38.4751	−	18.5286i	1.50565	−	0.725081i	0.991192	+	0.132436i	$0.0422798\pi$
$654$	−5.70482	−	10.7314i	−0.223076	−	0.419630i
$655$		−	15.2244i		−	0.594866i
$656$	−2.86229	+	9.60710i	−0.111754	+	0.375094i
$657$	−1.96884	−	0.449374i	−0.0768117	−	0.0175318i
$658$	9.70596	−	39.8284i	0.378378	−	1.55267i
$659$	41.9463	−	9.57396i	1.63400	−	0.372949i	0.695577	−	0.718451i	$-0.255149\pi$
$659$	41.9463	−	9.57396i	1.63400	−	0.372949i	0.938418	+	0.345503i	$0.112292\pi$
$660$	−0.170386	+	0.0135947i	−0.00663226	+	0.000529173i
$661$	14.5985	−	11.6419i	0.567816	−	0.452818i	−0.297021	−	0.954871i	$-0.595993\pi$
$661$	14.5985	−	11.6419i	0.567816	−	0.452818i	0.864837	+	0.502053i	$0.167422\pi$
$662$	7.92545	−	42.4467i	0.308031	−	1.64974i
$663$	0.938821	+	4.11324i	0.0364608	+	0.159745i
$664$	−19.5622	+	19.8471i	−0.759162	+	0.770218i
$665$	9.42705	+	0.513769i	0.365565	+	0.0199231i
$666$	−0.770170	−	1.44877i	−0.0298435	−	0.0561387i
$667$		−	0.919669i		−	0.0356097i
$668$	1.37855	−	9.45503i	0.0533377	−	0.365826i
$669$	−3.94453	+	17.2821i	−0.152504	+	0.668166i
$670$	2.61713	−	6.03818i	0.101109	−	0.233275i
$671$	−0.742248	−	0.930749i	−0.0286541	−	0.0359312i
$672$	−14.8104	+	2.15667i	−0.571325	+	0.0831954i
$673$	−7.40555	+	9.28627i	−0.285463	+	0.357959i	−0.903801	−	0.427953i	$-0.859235\pi$
$673$	−7.40555	+	9.28627i	−0.285463	+	0.357959i	0.618338	+	0.785912i	$0.287806\pi$
$674$	−3.13587	−	5.89891i	−0.120789	−	0.227218i
$675$	2.81497	−	3.52987i	0.108348	−	0.135865i
$676$	1.44820	+	4.61585i	0.0557000	+	0.177533i
$677$	−24.5805	+	19.6023i	−0.944706	+	0.753378i	−0.969188	−	0.246323i	$-0.920778\pi$
$677$	−24.5805	+	19.6023i	−0.944706	+	0.753378i	0.0244821	+	0.999700i	$0.492206\pi$
$678$	1.82635	−	0.494090i	0.0701407	−	0.0189754i
$679$	−0.984081	+	0.409528i	−0.0377655	+	0.0157162i
$680$	−2.17330	−	1.34376i	−0.0833422	−	0.0515308i
$681$	−2.04072	−	0.982761i	−0.0782007	−	0.0376595i
$682$	0.0987253	−	0.134445i	0.00378039	−	0.00514816i
$683$	5.92818	−	12.3100i	0.226836	−	0.471029i	−0.756225	−	0.654312i	$-0.772958\pi$
$683$	5.92818	−	12.3100i	0.226836	−	0.471029i	0.983060	+	0.183283i	$0.0586726\pi$
$684$	−7.00542	−	7.47745i	−0.267859	−	0.285908i
$685$			9.95145i			0.380225i
$686$	−8.93001	+	24.6222i	−0.340949	+	0.940082i
$687$			26.7639i			1.02111i
$688$	−9.94010	−	14.2817i	−0.378963	−	0.544486i
$689$	−3.08576	+	6.40764i	−0.117558	+	0.244112i
$690$	0.939241	+	0.689702i	0.0357563	+	0.0262565i
$691$	−23.9550	−	11.5361i	−0.911289	−	0.438854i	−0.0813361	−	0.996687i	$-0.525919\pi$
$691$	−23.9550	−	11.5361i	−0.911289	−	0.438854i	−0.829953	+	0.557833i	$0.811633\pi$
$692$	18.6102	−	5.83884i	0.707452	−	0.221959i
$693$	0.299721	−	0.124730i	0.0113855	−	0.00473809i
$694$	10.3941	+	38.4209i	0.394556	+	1.45844i
$695$	1.08203	−	0.862892i	0.0410438	−	0.0327314i
$696$	−1.87022	−	1.15636i	−0.0708905	−	0.0438319i
$697$	2.02663	−	2.54131i	0.0767641	−	0.0962591i
$698$	−14.6775	+	7.80260i	−0.555552	+	0.295333i
$699$	−10.3415	+	12.9678i	−0.391150	+	0.490487i
$700$	9.82060	−	21.7786i	0.371184	−	0.823155i
$701$	−6.98867	−	8.76351i	−0.263958	−	0.330993i	0.632136	−	0.774858i	$-0.282179\pi$
$701$	−6.98867	−	8.76351i	−0.263958	−	0.330993i	−0.896094	+	0.443865i	$0.853607\pi$
$702$	−4.22084	−	1.82944i	−0.159305	−	0.0690477i
$703$	1.32264	−	5.79487i	0.0498843	−	0.218558i
$704$	0.890469	+	0.413076i	0.0335608	+	0.0155684i
$705$			7.63108i			0.287403i
$706$	8.46820	−	4.50171i	0.318705	−	0.169424i
$707$	20.6554	+	1.12571i	0.776827	+	0.0423367i
$708$	18.4894	−	1.47523i	0.694876	−	0.0554426i
$709$	−4.88785	−	21.4151i	−0.183567	−	0.804259i	−0.979914	−	0.199419i	$-0.936094\pi$
$709$	−4.88785	−	21.4151i	−0.183567	−	0.804259i	0.796347	−	0.604840i	$-0.206763\pi$
$710$	−2.47611	−	0.462328i	−0.0929268	−	0.0173509i
$711$	−7.99776	+	6.37800i	−0.299939	+	0.239194i
$712$	−19.7795	−	19.4956i	−0.741268	−	0.730628i
$713$	−1.10862	+	0.253036i	−0.0415183	+	0.00947627i
$714$	4.71500	+	1.14902i	0.176455	+	0.0430011i
$715$	−0.271032	−	0.0618612i	−0.0101360	−	0.00231348i
$716$	22.3866	+	3.26398i	0.836626	+	0.121981i
$717$			30.2507i			1.12973i
$718$	−20.9525	+	11.1384i	−0.781942	+	0.415682i
$719$	−2.69120	+	1.29601i	−0.100365	+	0.0483332i	−0.483393	−	0.875404i	$-0.660596\pi$
$719$	−2.69120	+	1.29601i	−0.100365	+	0.0483332i	0.383028	+	0.923737i	$0.374881\pi$
$720$	2.58354	−	1.04281i	0.0962828	−	0.0388633i
$721$	−1.03212	+	18.9381i	−0.0384381	+	0.705293i
$722$	−0.407897	−	10.2408i	−0.0151803	−	0.381123i
$723$	−17.2040	−	3.92669i	−0.639822	−	0.146035i
$724$	−34.0836	+	31.9320i	−1.26671	+	1.18674i
$725$	3.16230	−	1.52289i	0.117445	−	0.0565585i
$726$	15.2711	+	2.85136i	0.566765	+	0.105824i
$727$	27.6560	+	13.3184i	1.02570	+	0.493953i	0.869584	−	0.493784i	$-0.164387\pi$
$727$	27.6560	+	13.3184i	1.02570	+	0.493953i	0.156121	+	0.987738i	$0.450101\pi$
$728$	−24.0336	−	3.86414i	−0.890744	−	0.143214i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	1.92019	−	0.519476i	0.0710695	−	0.0192267i
$731$	1.25550	+	5.50069i	0.0464362	+	0.203450i
$732$	16.0851	+	10.8534i	0.594522	+	0.401155i
$733$	−17.1766	−	13.6979i	−0.634432	−	0.505943i	0.252648	−	0.967558i	$-0.418699\pi$
$733$	−17.1766	−	13.6979i	−0.634432	−	0.505943i	−0.887080	+	0.461616i	$0.847270\pi$
$734$	14.1334	−	12.2222i	0.521673	−	0.451129i
$735$	0.529862	−	4.84672i	0.0195442	−	0.178774i
$736$	−2.74979	−	6.10097i	−0.101359	−	0.224885i
$737$	0.511122	−	0.640926i	0.0188274	−	0.0236088i
$738$	0.925545	+	3.42118i	0.0340698	+	0.125936i
$739$	3.51667	−	0.802656i	0.129363	−	0.0295262i	−0.157349	−	0.987543i	$-0.550295\pi$
$739$	3.51667	−	0.802656i	0.129363	−	0.0295262i	0.286712	+	0.958017i	$0.407438\pi$
$740$	1.33973	+	0.903983i	0.0492493	+	0.0332311i
$741$	−7.23070	−	15.0147i	−0.265626	−	0.551579i
$742$	5.00638	+	6.46983i	0.183790	+	0.237515i
$743$	−12.3946	+	25.7377i	−0.454714	+	0.944224i	0.540012	+	0.841657i	$0.318420\pi$
$743$	−12.3946	+	25.7377i	−0.454714	+	0.944224i	−0.994726	+	0.102566i	$0.967295\pi$
$744$	−0.879381	+	2.57263i	−0.0322397	+	0.0943173i
$745$	−2.22350	−	4.61714i	−0.0814627	−	0.169159i
$746$	−0.724000	−	18.1770i	−0.0265075	−	0.665507i
$747$	−2.19241	+	9.60557i	−0.0802160	+	0.351449i
$748$	−0.217616	−	0.232279i	−0.00795682	−	0.00849296i
$749$	−14.3302	−	7.88911i	−0.523614	−	0.288262i
$750$	−1.72023	+	9.21312i	−0.0628140	+	0.336415i
$751$	−9.16159	−	19.0242i	−0.334311	−	0.694204i	0.664268	−	0.747495i	$-0.268743\pi$
$751$	−9.16159	−	19.0242i	−0.334311	−	0.694204i	−0.998579	+	0.0532902i	$0.983029\pi$
$752$	21.5454	−	38.1625i	0.785678	−	1.39164i
$753$	25.0193			0.911753
$754$	−2.33928	−	2.70508i	−0.0851916	−	0.0985133i
$755$	−1.89720	+	8.31217i	−0.0690461	+	0.302511i
$756$	−4.05271	+	3.40229i	−0.147396	+	0.123740i
$757$	−3.88901	−	17.0389i	−0.141348	−	0.619288i	−0.995123	−	0.0986446i	$-0.968549\pi$
$757$	−3.88901	−	17.0389i	−0.141348	−	0.619288i	0.853774	−	0.520643i	$-0.174308\pi$
$758$	8.69822	−	11.8453i	0.315933	−	0.430241i
$759$	0.0905030	+	0.113487i	0.00328505	+	0.00411932i
$760$	9.55036	+	3.26452i	0.346428	+	0.118417i
$761$	34.7090	−	7.92210i	1.25820	−	0.287176i	0.459105	−	0.888382i	$-0.348170\pi$
$761$	34.7090	−	7.92210i	1.25820	−	0.287176i	0.799094	+	0.601206i	$0.205313\pi$
$762$	17.7198	−	24.1309i	0.641920	−	0.874172i
$763$	−21.8588	−	6.25828i	−0.791343	−	0.226565i
$764$	1.57160	−	4.06182i	0.0568585	−	0.146952i
$765$	−0.903391			−0.0326622
$766$	−19.6130	+	16.9608i	−0.708646	+	0.612818i
$767$	29.4111	+	6.71288i	1.06197	+	0.242388i
$768$	−15.8643	−	2.07926i	−0.572454	−	0.0750290i
$769$	30.7509	−	24.5231i	1.10891	−	0.884324i	0.114872	−	0.993380i	$-0.463354\pi$
$769$	30.7509	−	24.5231i	1.10891	−	0.884324i	0.994036	+	0.109056i	$0.0347828\pi$
$770$	−0.203015	+	0.247066i	−0.00731614	+	0.00890364i
$771$	15.4322	+	12.3068i	0.555776	+	0.443217i
$772$	−44.3131	−	17.1456i	−1.59486	−	0.617084i
$773$	−11.5451	−	9.20693i	−0.415249	−	0.331150i	0.393478	−	0.919334i	$-0.371272\pi$
$773$	−11.5451	−	9.20693i	−0.415249	−	0.331150i	−0.808727	+	0.588184i	$0.799843\pi$
$774$	−5.64457	−	2.44653i	−0.202890	−	0.0879386i
$775$	−2.70585	−	3.39302i	−0.0971969	−	0.121881i
$776$	−1.13137	+	0.135764i	−0.0406138	+	0.00487365i
$777$	−2.95102	−	0.844889i	−0.105867	−	0.0303102i
$778$	−18.4333	+	42.5288i	−0.660865	+	1.52473i
$779$	−5.57075	+	11.5678i	−0.199593	+	0.414458i
$780$	4.51698	−	0.360400i	0.161734	−	0.0129044i
$781$	−0.282701	−	0.136142i	−0.0101158	−	0.00487153i
$782$	0.0863606	+	2.16820i	0.00308825	+	0.0775346i
$783$	−0.777408			−0.0277823
$784$	−16.3339	+	22.7421i	−0.583354	+	0.812218i
$785$	6.11196			0.218145
$786$	1.23026	+	30.8873i	0.0438819	+	1.10171i
$787$	−30.2618	−	14.5733i	−1.07872	−	0.519482i	−0.191809	−	0.981432i	$-0.561436\pi$
$787$	−30.2618	−	14.5733i	−1.07872	−	0.519482i	−0.886906	+	0.461950i	$0.847150\pi$
$788$	44.2576	−	3.53121i	1.57661	−	0.125794i
$789$	9.71566	−	20.1748i	0.345887	−	0.718241i
$790$	4.00716	−	9.24523i	0.142568	−	0.328930i
$791$	1.70706	−	3.10079i	0.0606959	−	0.110251i
$792$	0.344581	−	0.0413496i	0.0122442	−	0.00146930i
$793$	19.6772	+	24.6745i	0.698759	+	0.876216i
$794$	−4.12062	−	1.78600i	−0.146235	−	0.0633828i
$795$	−1.19060	−	0.949471i	−0.0422262	−	0.0336743i
$796$	45.5965	+	17.6422i	1.61613	+	0.625311i
$797$	−19.2424	−	15.3453i	−0.681602	−	0.543560i	0.220336	−	0.975424i	$-0.429285\pi$
$797$	−19.2424	−	15.3453i	−0.681602	−	0.543560i	−0.901939	+	0.431864i	$0.857856\pi$
$798$	−19.1672	−	0.280552i	−0.678510	−	0.00993142i
$799$	−11.1100	+	8.85993i	−0.393044	+	0.313442i
$800$	16.4249	−	19.5579i	0.580710	−	0.691475i
$801$	−9.57285	−	2.18494i	−0.338240	−	0.0772011i
$802$	36.7959	−	31.8201i	1.29931	−	1.12361i
$803$	0.247793			0.00874441
$804$	−4.82171	+	12.4618i	−0.170049	+	0.439493i
$805$	2.14862	−	0.368723i	0.0757288	−	0.0129958i
$806$	−2.61724	+	3.56418i	−0.0921883	+	0.125543i
$807$	−16.1696	+	3.69060i	−0.569196	+	0.129915i
$808$	20.9256	+	7.15283i	0.736161	+	0.251636i
$809$	20.7387	+	26.0055i	0.729132	+	0.914303i	0.998816	−	0.0486459i	$-0.0154906\pi$
$809$	20.7387	+	26.0055i	0.729132	+	0.914303i	−0.269684	+	0.962949i	$0.586919\pi$
$810$	0.583014	−	0.793952i	0.0204850	−	0.0278966i
$811$	−3.86692	−	16.9421i	−0.135786	−	0.594917i	−0.996334	−	0.0855479i	$-0.972736\pi$
$811$	−3.86692	−	16.9421i	−0.135786	−	0.594917i	0.860548	−	0.509369i	$-0.170121\pi$
$812$	−3.98621	+	1.01603i	−0.139888	+	0.0356557i
$813$	−2.18087	+	9.55500i	−0.0764864	+	0.335109i
$814$	0.131689	+	0.152281i	0.00461569	+	0.00533746i
$815$	6.20156			0.217231
$816$	4.51779	+	2.55061i	0.158154	+	0.0892891i
$817$	−9.66969	−	20.0793i	−0.338300	−	0.702487i
$818$	−1.34328	+	7.19425i	−0.0469666	+	0.251541i
$819$	−7.94571	+	3.30663i	−0.277645	+	0.115543i
$820$	−2.38684	−	2.54767i	−0.0833522	−	0.0889685i
$821$	7.82703	−	34.2925i	0.273165	−	1.19682i	−0.633088	−	0.774080i	$-0.718213\pi$
$821$	7.82703	−	34.2925i	0.273165	−	1.19682i	0.906253	−	0.422735i	$-0.138930\pi$
$822$	−0.804162	−	20.1896i	−0.0280484	−	0.704192i
$823$	3.59878	+	7.47295i	0.125446	+	0.260491i	0.954228	−	0.299081i	$-0.0966800\pi$
$823$	3.59878	+	7.47295i	0.125446	+	0.260491i	−0.828782	+	0.559571i	$0.810966\pi$
$824$	−6.55814	+	19.1859i	−0.228464	+	0.668371i
$825$	−0.240364	+	0.499121i	−0.00836840	+	0.0173772i
$826$	22.0302	−	26.8104i	0.766527	−	0.932853i
$827$	18.2376	+	37.8709i	0.634185	+	1.31690i	0.932064	+	0.362295i	$0.118007\pi$
$827$	18.2376	+	37.8709i	0.634185	+	1.31690i	−0.297879	+	0.954604i	$0.596279\pi$
$828$	−1.96127	−	1.32337i	−0.0681589	−	0.0459904i
$829$	37.6308	−	8.58898i	1.30697	−	0.298308i	0.488353	−	0.872646i	$-0.337598\pi$
$829$	37.6308	−	8.58898i	1.30697	−	0.298308i	0.818618	+	0.574338i	$0.194741\pi$
$830$	−2.53442	−	9.36824i	−0.0879711	−	0.325176i
$831$	14.6660	−	18.3906i	0.508758	−	0.637963i
$832$	−23.6066	−	10.9508i	−0.818413	−	0.379650i
$833$	7.67148	−	4.85579i	0.265801	−	0.168243i
$834$	−2.12551	+	1.83808i	−0.0736003	+	0.0636475i
$835$	2.60162	+	2.07472i	0.0900328	+	0.0717988i
$836$	1.04219	+	0.703220i	0.0360449	+	0.0243214i
$837$	0.213894	+	0.937133i	0.00739328	+	0.0323921i
$838$	−8.29672	+	2.24454i	−0.286605	+	0.0775364i
$839$	21.7882	−	10.4926i	0.752213	−	0.362246i	−0.0181645	−	0.999835i	$-0.505782\pi$
$839$	21.7882	−	10.4926i	0.752213	−	0.362246i	0.770377	+	0.637589i	$0.220068\pi$
$840$	1.95178	−	4.83301i	0.0673429	−	0.166755i
$841$	25.5836	+	12.3204i	0.882193	+	0.424842i
$842$	15.9256	+	2.97356i	0.548833	+	0.102476i
$843$	−8.61741	+	4.14993i	−0.296799	+	0.142931i
$844$	−1.07842	+	1.01034i	−0.0371208	+	0.0347775i
$845$	−1.64253	−	0.374896i	−0.0565046	−	0.0128968i
$846$	−0.616656	−	15.4820i	−0.0212011	−	0.532281i
$847$	23.6751	−	16.8574i	0.813488	−	0.579226i
$848$	3.27339	+	8.10974i	0.112409	+	0.278489i
$849$	6.91843	−	3.33174i	0.237440	−	0.114345i
$850$	−7.31240	+	3.88728i	−0.250813	+	0.133333i
$851$		−	1.37250i		−	0.0470488i
$852$	5.06091	+	0.737883i	0.173384	+	0.0252795i
$853$	38.3300	+	8.74857i	1.31239	+	0.299545i	0.820768	−	0.571262i	$-0.193546\pi$
$853$	38.3300	+	8.74857i	1.31239	+	0.299545i	0.491625	+	0.870807i	$0.336403\pi$
$854$	35.5064	−	7.55914i	1.21500	−	0.258669i
$855$	3.47891	−	0.794038i	0.118976	−	0.0271555i
$856$	−12.4548	−	12.2760i	−0.425695	−	0.419584i
$857$	41.9164	−	33.4272i	1.43184	−	1.14185i	0.465352	−	0.885126i	$-0.345928\pi$
$857$	41.9164	−	33.4272i	1.43184	−	1.14185i	0.966484	−	0.256726i	$-0.0826437\pi$
$858$	0.554870	+	0.103603i	0.0189429	+	0.00353694i
$859$	2.86410	+	12.5484i	0.0977217	+	0.428147i	0.999995	−	0.00301681i	$-0.000960282\pi$
$859$	2.86410	+	12.5484i	0.0977217	+	0.428147i	−0.902274	+	0.431164i	$0.858103\pi$
$860$	6.04061	−	0.481967i	0.205983	−	0.0164349i
$861$	5.80850	+	3.19771i	0.197953	+	0.108978i
$862$	−23.4844	+	12.4843i	−0.799880	+	0.425218i
$863$		−	9.73744i		−	0.331466i	−0.986171	−	0.165733i	$-0.947001\pi$
$863$		−	9.73744i		−	0.331466i	0.986171	−	0.165733i	$-0.0529991\pi$
$864$	−5.15723	+	2.32443i	−0.175452	+	0.0790788i
$865$	−1.51150	+	6.62232i	−0.0513926	+	0.225166i
$866$	−0.980376	−	0.424924i	−0.0333145	−	0.0144395i
$867$	9.55046	+	11.9759i	0.324351	+	0.406723i
$868$	2.32154	+	4.52566i	0.0787983	+	0.153611i
$869$	0.782593	−	0.981340i	0.0265476	−	0.0332897i
$870$	0.676158	−	0.359447i	0.0229239	−	0.0121864i
$871$	−13.5500	+	16.9912i	−0.459125	+	0.575724i
$872$	−20.6742	−	12.7830i	−0.700118	−	0.432886i
$873$	−0.314976	+	0.251185i	−0.0106603	+	0.00850133i
$874$	−2.23831	−	8.27370i	−0.0757121	−	0.279862i
$875$	10.1701	+	14.2833i	0.343812	+	0.482863i
$876$	−3.85372	+	1.20908i	−0.130205	+	0.0408512i
$877$	−29.4317	−	14.1736i	−0.993838	−	0.478607i	−0.134995	−	0.990846i	$-0.543102\pi$
$877$	−29.4317	−	14.1736i	−0.993838	−	0.478607i	−0.858843	+	0.512239i	$0.828816\pi$
$878$	18.3492	+	13.4742i	0.619256	+	0.454731i
$879$	6.45072	−	13.3951i	0.217577	−	0.451804i
$880$	−0.280584	+	0.195287i	−0.00945849	+	0.00658312i
$881$			28.9644i			0.975835i	0.872890	+	0.487917i	$0.162243\pi$
$881$			28.9644i			0.975835i	−0.872890	+	0.487917i	$0.837757\pi$
$882$	−0.683330	+	9.87588i	−0.0230089	+	0.332538i
$883$		−	31.9832i		−	1.07632i	−0.842842	−	0.538161i	$-0.819119\pi$
$883$		−	31.9832i		−	1.07632i	0.842842	−	0.538161i	$-0.180881\pi$
$884$	5.76907	+	6.15779i	0.194035	+	0.207109i
$885$	−2.80269	+	5.81985i	−0.0942115	+	0.195632i
$886$	9.88140	−	13.4566i	0.331972	−	0.452082i
$887$	16.6490	+	8.01776i	0.559020	+	0.269210i	0.691986	−	0.721911i	$-0.256736\pi$
$887$	16.6490	+	8.01776i	0.559020	+	0.269210i	−0.132966	+	0.991121i	$0.542450\pi$
$888$	−2.79109	−	1.72574i	−0.0936630	−	0.0579122i
$889$	−9.47322	−	55.2022i	−0.317721	−	1.85142i
$890$	9.33632	−	2.52579i	0.312954	−	0.0846646i
$891$	0.0959322	−	0.0765034i	0.00321385	−	0.00256296i
$892$	10.6131	+	33.8273i	0.355354	+	1.13262i
$893$	34.9966	−	43.8843i	1.17112	−	1.46853i
$894$	4.88415	+	9.18761i	0.163350	+	0.307280i
$895$	−4.91230	+	6.15983i	−0.164200	+	0.205901i
$896$	−23.4061	+	18.6589i	−0.781943	+	0.623350i
$897$	−2.39927	−	3.00858i	−0.0801091	−	0.100454i
$898$	20.2641	−	46.7528i	0.676221	−	1.56016i
$899$	−0.166283	+	0.728534i	−0.00554586	+	0.0242980i
$900$	1.30277	−	8.93526i	0.0434255	−	0.297842i
$901$		−	2.83575i		−	0.0944724i
$902$	−0.204130	−	0.383990i	−0.00679678	−	0.0127855i
$903$	−10.6259	+	4.42199i	−0.353607	+	0.147155i
$904$	2.65629	−	2.69498i	0.0883469	−	0.0896336i
$905$	−3.61938	−	15.8575i	−0.120312	−	0.527122i
$906$	3.17735	−	17.0171i	0.105560	−	0.565355i
$907$	27.1648	−	21.6632i	0.901993	−	0.719316i	−0.0583027	−	0.998299i	$-0.518569\pi$
$907$	27.1648	−	21.6632i	0.901993	−	0.719316i	0.960296	+	0.278983i	$0.0899974\pi$
$908$	−4.51571	+	0.360299i	−0.149859	+	0.0119569i
$909$	7.62257	−	1.73980i	0.252825	−	0.0577056i
$910$	5.38198	−	6.54980i	0.178411	−	0.217124i
$911$	−5.55877	−	1.26875i	−0.184170	−	0.0420357i	0.129441	−	0.991587i	$-0.458682\pi$
$911$	−5.55877	−	1.26875i	−0.184170	−	0.0420357i	−0.313611	+	0.949551i	$0.601539\pi$
$912$	−19.6396	−	5.85132i	−0.650333	−	0.193757i
$913$		−	1.20893i		−	0.0400098i
$914$	11.8532	+	22.2972i	0.392070	+	0.737526i
$915$	−6.08847	+	2.93205i	−0.201279	+	0.0969307i
$916$	26.9870	+	46.2270i	0.891676	+	1.52738i
$917$	43.1847	+	38.4639i	1.42608	+	1.27019i
$918$	1.83280	−	0.0730017i	0.0604916	−	0.00240941i
$919$	−19.4572	−	4.44098i	−0.641834	−	0.146494i	−0.110797	−	0.993843i	$-0.535340\pi$
$919$	−19.4572	−	4.44098i	−0.641834	−	0.146494i	−0.531037	+	0.847349i	$0.678198\pi$
$920$	2.31772	+	0.244190i	0.0764129	+	0.00805072i
$921$	0.761646	−	0.366789i	0.0250971	−	0.0120861i
$922$	−0.845930	+	4.53059i	−0.0278592	+	0.149207i
$923$	7.49450	+	3.60916i	0.246684	+	0.118797i
$924$	0.391912	−	0.517654i	0.0128930	−	0.0170296i
$925$	4.71938	−	2.27274i	0.155172	−	0.0747271i
$926$	−6.27725	−	23.2032i	−0.206283	−	0.762505i
$927$	1.59516	+	6.98883i	0.0523918	+	0.229543i
$928$	−4.39627	−	0.111477i	−0.144315	−	0.00365941i
$929$	18.4760	+	14.7341i	0.606179	+	0.483412i	0.877822	−	0.478986i	$-0.158996\pi$
$929$	18.4760	+	14.7341i	0.606179	+	0.483412i	−0.271643	+	0.962398i	$0.587567\pi$
$930$	−0.619336	−	0.716183i	−0.0203088	−	0.0234846i
$931$	−25.2745	+	25.4423i	−0.828337	+	0.833836i
$932$	−4.78602	+	32.8258i	−0.156771	+	1.07524i
$933$	6.28899	−	7.88615i	0.205892	−	0.258181i
$934$	27.6428	−	7.47829i	0.904499	−	0.244697i
$935$	0.108069	−	0.0246659i	0.00353422	−	0.000806662i
$936$	−9.13496	+	1.09619i	−0.298586	+	0.0358302i
$937$	−2.83878	−	5.89479i	−0.0927390	−	0.192574i	0.849439	−	0.527686i	$-0.176940\pi$
$937$	−2.83878	−	5.89479i	−0.0927390	−	0.192574i	−0.942178	+	0.335112i	$0.891226\pi$
$938$	10.5155	+	22.6789i	0.343343	+	0.740492i
$939$	−11.5152	+	23.9115i	−0.375783	+	0.780322i
$940$	7.69469	+	13.1805i	0.250973	+	0.429900i
$941$	3.62439	+	7.52611i	0.118152	+	0.245344i	0.951654	−	0.307171i	$-0.0993824\pi$
$941$	3.62439	+	7.52611i	0.118152	+	0.245344i	−0.833503	+	0.552515i	$0.813668\pi$
$942$	−12.4000	+	0.493899i	−0.404013	+	0.0160921i
$943$	−0.659710	+	2.89038i	−0.0214831	+	0.0941237i
$944$	30.4476	−	21.1916i	0.990986	−	0.689728i
$945$	−0.311686	−	1.81625i	−0.0101392	−	0.0590828i
$946$	0.742034	+	0.138549i	0.0241256	+	0.00450462i
$947$	−22.6830	−	47.1017i	−0.737097	−	1.53060i	−0.844008	−	0.536330i	$-0.819810\pi$
$947$	−22.6830	−	47.1017i	−0.737097	−	1.53060i	0.106911	−	0.994269i	$-0.465904\pi$
$948$	−7.38266	+	19.0806i	−0.239778	+	0.619709i
$949$	−6.56907			−0.213241
$950$	24.7429	−	21.3970i	0.802766	−	0.694210i
$951$	−7.58890	+	33.2491i	−0.246087	+	1.07818i
$952$	9.30241	−	2.76970i	0.301493	−	0.0897666i
$953$	1.77250	+	7.76585i	0.0574170	+	0.251560i	0.995489	−	0.0948810i	$-0.0302471\pi$
$953$	1.77250	+	7.76585i	0.0574170	+	0.251560i	−0.938072	+	0.346441i	$0.887390\pi$
$954$	2.49222	+	1.83008i	0.0806886	+	0.0592511i
$955$	0.945680	+	1.18585i	0.0306015	+	0.0383730i
$956$	30.5029	+	52.2494i	0.986533	+	1.68987i
$957$	0.0929977	−	0.0212261i	0.00300619	−	0.000686143i
$958$	15.5517	+	11.4199i	0.502451	+	0.368959i
$959$	−28.2278	−	25.1420i	−0.911522	−	0.811878i
$960$	3.41081	−	4.40623i	0.110083	−	0.142210i
$961$	−30.0760			−0.970195
$962$	−3.49111	−	4.03703i	−0.112558	−	0.130159i
$963$	−6.02783	−	1.37581i	−0.194244	−	0.0443349i
$964$	−33.6743	+	10.5651i	−1.08458	+	0.340280i
$965$	12.9372	−	10.3170i	0.416462	−	0.332117i
$966$	−4.32933	+	0.921694i	−0.139294	+	0.0296550i
$967$	31.5023	+	25.1222i	1.01305	+	0.807877i	0.981468	−	0.191624i	$-0.0613755\pi$
$967$	31.5023	+	25.1222i	1.01305	+	0.807877i	0.0315774	+	0.999501i	$0.489947\pi$
$968$	29.2516	−	10.4735i	0.940183	−	0.336632i
$969$	5.19516	+	4.14300i	0.166893	+	0.133092i
$970$	0.157814	−	0.364105i	0.00506711	−	0.0116907i
$971$	−14.3305	−	17.9698i	−0.459886	−	0.576679i	0.496776	−	0.867879i	$-0.334517\pi$
$971$	−14.3305	−	17.9698i	−0.459886	−	0.576679i	−0.956662	+	0.291200i	$0.905946\pi$
$972$	−1.11866	+	1.65789i	−0.0358811	+	0.0531768i
$973$	−0.286084	+	5.24931i	−0.00917145	+	0.168285i
$974$	−11.0811	−	4.80288i	−0.355061	−	0.153894i
$975$	6.37213	−	13.2319i	0.204072	−	0.423759i
$976$	38.7263	+	2.52703i	1.23960	+	0.0808883i
$977$	−1.58828	−	0.764874i	−0.0508135	−	0.0244705i	0.408304	−	0.912846i	$-0.366120\pi$
$977$	−1.58828	−	0.764874i	−0.0508135	−	0.0244705i	−0.459118	+	0.888375i	$0.651834\pi$
$978$	−12.5818	+	0.501139i	−0.402320	+	0.0160247i
$979$	1.20481			0.0385060
$980$	−3.97194	−	8.90560i	−0.126879	−	0.284479i
$981$	−8.59381			−0.274379
$982$	−17.1418	+	0.682767i	−0.547016	+	0.0217880i
$983$	16.2325	+	7.81715i	0.517736	+	0.249328i	0.674456	−	0.738315i	$-0.264378\pi$
$983$	16.2325	+	7.81715i	0.517736	+	0.249328i	−0.156721	+	0.987643i	$0.550092\pi$
$984$	5.04831	+	4.97585i	0.160934	+	0.158624i
$985$	−6.70871	+	13.9308i	−0.213757	+	0.443872i
$986$	1.30836	+	0.567082i	0.0416666	+	0.0180596i
$987$	−21.6459	−	19.2797i	−0.688997	−	0.613679i
$988$	−27.6288	−	18.6426i	−0.878989	−	0.593100i
$989$	−3.20857	−	4.02341i	−0.102026	−	0.127937i
$990$	−0.0480654	+	0.110895i	−0.00152762	+	0.00352449i
$991$	−22.2967	−	17.7810i	−0.708279	−	0.564833i	0.201721	−	0.979443i	$-0.435347\pi$
$991$	−22.2967	−	17.7810i	−0.708279	−	0.564833i	−0.909999	+	0.414610i	$0.863918\pi$
$992$	1.07520	+	5.33019i	0.0341376	+	0.169234i
$993$	−23.8717	−	19.0370i	−0.757545	−	0.604122i
$994$	7.56723	−	5.85555i	0.240018	−	0.185727i
$995$	−13.3119	+	10.6159i	−0.422014	+	0.336545i
$996$	5.89888	+	18.8015i	0.186913	+	0.595749i
$997$	12.8646	+	2.93625i	0.407425	+	0.0929920i	0.421321	−	0.906911i	$-0.361566\pi$
$997$	12.8646	+	2.93625i	0.407425	+	0.0929920i	−0.0138967	+	0.999903i	$0.504424\pi$
$998$	−29.5703	−	34.1943i	−0.936031	−	1.08240i
$999$	−1.16019			−0.0367069

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.13	✓	168
4.3	odd	2		588.2.x.b.55.27	yes	168
49.41	odd	14		588.2.x.b.139.27	yes	168
196.139	even	14	inner	588.2.x.a.139.13	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.13	✓	168	1.1	even	1	trivial
588.2.x.a.139.13	yes	168	196.139	even	14	inner
588.2.x.b.55.27	yes	168	4.3	odd	2
588.2.x.b.139.27	yes	168	49.41	odd	14

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.0562843 - 1.41309i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99366 + 0.159070i) q^{4} +(0.302206 - 0.627538i) q^{5} +(-0.562408 + 1.29757i) q^{6} +(1.01653 + 2.44268i) q^{7} +(0.336993 + 2.80828i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-0.0562843 - 1.41309i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-1.99366 + 0.159070i) q^{4} +(0.302206 - 0.627538i) q^{5} +(-0.562408 + 1.29757i) q^{6} +(1.01653 + 2.44268i) q^{7} +(0.336993 + 2.80828i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.903779 - 0.391725i) q^{10} +(-0.0959322 - 0.0765034i) q^{11} +(1.86525 + 0.721701i) q^{12} +(2.54319 + 2.02813i) q^{13} +(3.39452 - 1.57393i) q^{14} +(-0.544557 + 0.434270i) q^{15} +(3.94939 - 0.634264i) q^{16} +(-1.26450 - 0.288613i) q^{17} +(1.06971 - 0.925054i) q^{18} +5.12319 q^{19} +(-0.502675 + 1.29917i) q^{20} +(0.143978 - 2.64183i) q^{21} +(-0.102707 + 0.139867i) q^{22} +(1.15333 - 0.263241i) q^{23} +(0.914847 - 2.67639i) q^{24} +(2.81497 + 3.52987i) q^{25} +(2.72279 - 3.70792i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-2.41517 - 4.70818i) q^{28} +(0.172989 - 0.757916i) q^{29} +(0.644314 + 0.745067i) q^{30} -0.961233 q^{31} +(-1.11856 - 5.54516i) q^{32} +(0.0532383 + 0.110551i) q^{33} +(-0.336666 + 1.80310i) q^{34} +(1.84007 + 0.100283i) q^{35} +(-1.36740 - 1.45953i) q^{36} +(0.258167 - 1.13111i) q^{37} +(-0.288355 - 7.23954i) q^{38} +(-1.41137 - 2.93073i) q^{39} +(1.86414 + 0.637204i) q^{40} +(-1.08736 + 2.25792i) q^{41} +(-3.74126 - 0.0547611i) q^{42} +(-1.88744 - 3.91930i) q^{43} +(0.203426 + 0.137262i) q^{44} +(0.679051 - 0.154989i) q^{45} +(-0.436899 - 1.61495i) q^{46} +(6.83101 - 8.56582i) q^{47} +(-3.83348 - 1.14213i) q^{48} +(-4.93334 + 4.96610i) q^{49} +(4.82959 - 4.17650i) q^{50} +(1.01405 + 0.808676i) q^{51} +(-5.39289 - 3.63886i) q^{52} +(0.486511 + 2.13155i) q^{53} +(-1.36514 + 0.369316i) q^{54} +(-0.0770001 + 0.0370813i) q^{55} +(-6.51716 + 3.67786i) q^{56} +(-4.61583 - 2.22287i) q^{57} +(-1.08074 - 0.201791i) q^{58} +(8.35568 - 4.02388i) q^{59} +(1.01658 - 0.952411i) q^{60} +(9.45890 + 2.15893i) q^{61} +(0.0541024 + 1.35831i) q^{62} +(-1.27597 + 2.31774i) q^{63} +(-7.77287 + 1.89274i) q^{64} +(2.04130 - 0.983037i) q^{65} +(0.153222 - 0.0814530i) q^{66} +6.68104i q^{67} +(2.56689 + 0.374254i) q^{68} +(-1.15333 - 0.263241i) q^{69} +(0.0381419 - 2.60584i) q^{70} +(2.49309 - 0.569033i) q^{71} +(-1.98549 + 2.01441i) q^{72} +(-1.57888 + 1.25912i) q^{73} +(-1.61289 - 0.301151i) q^{74} +(-1.00465 - 4.40167i) q^{75} +(-10.2139 + 0.814946i) q^{76} +(0.0893553 - 0.312099i) q^{77} +(-4.06196 + 2.15935i) q^{78} +10.2295i q^{79} +(0.795507 - 2.67007i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(3.25186 + 1.40945i) q^{82} +(6.14299 + 7.70307i) q^{83} +(0.133192 + 5.28983i) q^{84} +(-0.563255 + 0.706299i) q^{85} +(-5.43211 + 2.88772i) q^{86} +(-0.484706 + 0.607802i) q^{87} +(0.182514 - 0.295185i) q^{88} +(-7.67683 + 6.12207i) q^{89} +(-0.257234 - 0.950840i) q^{90} +(-2.36884 + 8.27385i) q^{91} +(-2.25749 + 0.708275i) q^{92} +(0.866041 + 0.417063i) q^{93} +(-12.4888 - 9.17073i) q^{94} +(1.54826 - 3.21500i) q^{95} +(-1.39816 + 5.48134i) q^{96} +0.402870i q^{97} +(7.29523 + 6.69176i) q^{98} -0.122702i 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

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