LMFDB - Embedded newform 525.2.n.c.316.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(106,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 4, 0]))

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

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

chi := DirichletCharacter("525.106");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.n (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.19214610612$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$6$ over $\Q(\zeta_{5})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			316.5
Character	$\chi$	$=$	525.316
Dual form			525.2.n.c.211.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.16621 + 0.847303i) q^{2} +(0.309017 + 0.951057i) q^{3} +(0.0240954 + 0.0741580i) q^{4} +(2.06863 - 0.848976i) q^{5} +(-0.445454 + 1.37097i) q^{6} +1.00000 q^{7} +(0.856173 - 2.63503i) q^{8} +(-0.809017 + 0.587785i) q^{9} +O(q^{10})$	\(q+(1.16621 + 0.847303i) q^{2} +(0.309017 + 0.951057i) q^{3} +(0.0240954 + 0.0741580i) q^{4} +(2.06863 - 0.848976i) q^{5} +(-0.445454 + 1.37097i) q^{6} +1.00000 q^{7} +(0.856173 - 2.63503i) q^{8} +(-0.809017 + 0.587785i) q^{9} +(3.13181 + 0.762672i) q^{10} +(0.597913 + 0.434409i) q^{11} +(-0.0630826 + 0.0458322i) q^{12} +(0.00453804 - 0.00329708i) q^{13} +(1.16621 + 0.847303i) q^{14} +(1.44667 + 1.70504i) q^{15} +(3.35731 - 2.43923i) q^{16} +(-1.18230 + 3.63875i) q^{17} -1.44152 q^{18} +(0.983098 - 3.02567i) q^{19} +(0.112803 + 0.132949i) q^{20} +(0.309017 + 0.951057i) q^{21} +(0.329218 + 1.01323i) q^{22} +(-1.00964 - 0.733548i) q^{23} +2.77063 q^{24} +(3.55848 - 3.51244i) q^{25} +0.00808595 q^{26} +(-0.809017 - 0.587785i) q^{27} +(0.0240954 + 0.0741580i) q^{28} +(1.00495 + 3.09293i) q^{29} +(0.242437 + 3.21420i) q^{30} +(-2.15049 + 6.61853i) q^{31} +0.440841 q^{32} +(-0.228383 + 0.702889i) q^{33} +(-4.46194 + 3.24179i) q^{34} +(2.06863 - 0.848976i) q^{35} +(-0.0630826 - 0.0458322i) q^{36} +(-6.02482 + 4.37729i) q^{37} +(3.71016 - 2.69559i) q^{38} +(0.00453804 + 0.00329708i) q^{39} +(-0.465970 - 6.17778i) q^{40} +(-0.453792 + 0.329699i) q^{41} +(-0.445454 + 1.37097i) q^{42} -9.55509 q^{43} +(-0.0178080 + 0.0548073i) q^{44} +(-1.17454 + 1.90275i) q^{45} +(-0.555920 - 1.71094i) q^{46} +(1.02967 + 3.16899i) q^{47} +(3.35731 + 2.43923i) q^{48} +1.00000 q^{49} +(7.12604 - 1.08114i) q^{50} -3.82601 q^{51} +(0.000353851 + 0.000257088i) q^{52} +(-1.55936 - 4.79922i) q^{53} +(-0.445454 - 1.37097i) q^{54} +(1.60567 + 0.391019i) q^{55} +(0.856173 - 2.63503i) q^{56} +3.18137 q^{57} +(-1.44866 + 4.45851i) q^{58} +(4.34843 - 3.15932i) q^{59} +(-0.0915842 + 0.148366i) q^{60} +(-5.09961 - 3.70509i) q^{61} +(-8.11584 + 5.89650i) q^{62} +(-0.809017 + 0.587785i) q^{63} +(-6.20051 - 4.50494i) q^{64} +(0.00658840 - 0.0106731i) q^{65} +(-0.861903 + 0.626209i) q^{66} +(-2.73581 + 8.41995i) q^{67} -0.298331 q^{68} +(0.385649 - 1.18690i) q^{69} +(3.13181 + 0.762672i) q^{70} +(-2.02503 - 6.23241i) q^{71} +(0.856173 + 2.63503i) q^{72} +(6.53855 + 4.75054i) q^{73} -10.7351 q^{74} +(4.44016 + 2.29891i) q^{75} +0.248065 q^{76} +(0.597913 + 0.434409i) q^{77} +(0.00249869 + 0.00769019i) q^{78} +(-5.25232 - 16.1650i) q^{79} +(4.87420 - 7.89615i) q^{80} +(0.309017 - 0.951057i) q^{81} -0.808572 q^{82} +(3.48662 - 10.7307i) q^{83} +(-0.0630826 + 0.0458322i) q^{84} +(0.643465 + 8.53099i) q^{85} +(-11.1433 - 8.09606i) q^{86} +(-2.63100 + 1.91153i) q^{87} +(1.65660 - 1.20359i) q^{88} +(-2.49833 - 1.81514i) q^{89} +(-2.98197 + 1.22381i) q^{90} +(0.00453804 - 0.00329708i) q^{91} +(0.0300707 - 0.0925481i) q^{92} -6.95914 q^{93} +(-1.48428 + 4.56815i) q^{94} +(-0.535049 - 7.09362i) q^{95} +(0.136227 + 0.419265i) q^{96} +(5.21285 + 16.0435i) q^{97} +(1.16621 + 0.847303i) q^{98} -0.739061 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + q^{2} - 6 q^{3} - 9 q^{4} - q^{5} + q^{6} + 24 q^{7} + 9 q^{8} - 6 q^{9}+O(q^{10}) $ 24 * q + q^2 - 6 * q^3 - 9 * q^4 - q^5 + q^6 + 24 * q^7 + 9 * q^8 - 6 * q^9	\( 24 q + q^{2} - 6 q^{3} - 9 q^{4} - q^{5} + q^{6} + 24 q^{7} + 9 q^{8} - 6 q^{9} - 16 q^{10} + 2 q^{11} + q^{12} + 8 q^{13} + q^{14} - 6 q^{15} + 13 q^{16} + 12 q^{17} - 4 q^{18} + 19 q^{19} + 11 q^{20} - 6 q^{21} - 19 q^{22} - 6 q^{24} + 9 q^{25} - 14 q^{26} - 6 q^{27} - 9 q^{28} + 5 q^{29} - 6 q^{30} + 17 q^{31} - 26 q^{32} + 7 q^{33} - 7 q^{34} - q^{35} + q^{36} + 22 q^{37} - 16 q^{38} + 8 q^{39} + 3 q^{40} + 37 q^{41} + q^{42} + 8 q^{43} + 13 q^{44} + 4 q^{45} + 24 q^{46} - 24 q^{47} + 13 q^{48} + 24 q^{49} - 21 q^{50} - 8 q^{51} + 23 q^{52} - 24 q^{53} + q^{54} - 55 q^{55} + 9 q^{56} - 26 q^{57} + 8 q^{58} - 39 q^{60} + 24 q^{62} - 6 q^{63} - q^{64} - 34 q^{65} + 16 q^{66} + 34 q^{67} + 22 q^{68} + 10 q^{69} - 16 q^{70} - 24 q^{71} + 9 q^{72} + 46 q^{73} + 10 q^{74} + 24 q^{75} - 20 q^{76} + 2 q^{77} - 14 q^{78} + 10 q^{79} + 6 q^{80} - 6 q^{81} - 78 q^{82} + 42 q^{83} + q^{84} - 22 q^{85} - 96 q^{86} - 10 q^{87} - 39 q^{88} + 29 q^{89} + 14 q^{90} + 8 q^{91} + 42 q^{92} - 58 q^{93} + 54 q^{94} - 42 q^{95} + 9 q^{96} - 32 q^{97} + q^{98} - 18 q^{99}+O(q^{100}) \) 24 * q + q^2 - 6 * q^3 - 9 * q^4 - q^5 + q^6 + 24 * q^7 + 9 * q^8 - 6 * q^9 - 16 * q^10 + 2 * q^11 + q^12 + 8 * q^13 + q^14 - 6 * q^15 + 13 * q^16 + 12 * q^17 - 4 * q^18 + 19 * q^19 + 11 * q^20 - 6 * q^21 - 19 * q^22 - 6 * q^24 + 9 * q^25 - 14 * q^26 - 6 * q^27 - 9 * q^28 + 5 * q^29 - 6 * q^30 + 17 * q^31 - 26 * q^32 + 7 * q^33 - 7 * q^34 - q^35 + q^36 + 22 * q^37 - 16 * q^38 + 8 * q^39 + 3 * q^40 + 37 * q^41 + q^42 + 8 * q^43 + 13 * q^44 + 4 * q^45 + 24 * q^46 - 24 * q^47 + 13 * q^48 + 24 * q^49 - 21 * q^50 - 8 * q^51 + 23 * q^52 - 24 * q^53 + q^54 - 55 * q^55 + 9 * q^56 - 26 * q^57 + 8 * q^58 - 39 * q^60 + 24 * q^62 - 6 * q^63 - q^64 - 34 * q^65 + 16 * q^66 + 34 * q^67 + 22 * q^68 + 10 * q^69 - 16 * q^70 - 24 * q^71 + 9 * q^72 + 46 * q^73 + 10 * q^74 + 24 * q^75 - 20 * q^76 + 2 * q^77 - 14 * q^78 + 10 * q^79 + 6 * q^80 - 6 * q^81 - 78 * q^82 + 42 * q^83 + q^84 - 22 * q^85 - 96 * q^86 - 10 * q^87 - 39 * q^88 + 29 * q^89 + 14 * q^90 + 8 * q^91 + 42 * q^92 - 58 * q^93 + 54 * q^94 - 42 * q^95 + 9 * q^96 - 32 * q^97 + q^98 - 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$1$	$1$

Coefficient data

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

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

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

$2$	1.16621	+	0.847303i	0.824637	+	0.599134i	0.918037	−	0.396495i	$-0.129774\pi$
$2$	1.16621	+	0.847303i	0.824637	+	0.599134i	−0.0934001	+	0.995629i	$0.529774\pi$
$3$	0.309017	+	0.951057i	0.178411	+	0.549093i
$3$	0.309017	+	0.951057i	0.178411	+	0.549093i
$4$	0.0240954	+	0.0741580i	0.0120477	+	0.0370790i
$5$	2.06863	−	0.848976i	0.925120	−	0.379674i
$5$	2.06863	−	0.848976i	0.925120	−	0.379674i
$6$	−0.445454	+	1.37097i	−0.181856	+	0.559694i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	0.856173	−	2.63503i	0.302703	−	0.931624i
$9$	−0.809017	+	0.587785i	−0.269672	+	0.195928i
$10$	3.13181	+	0.762672i	0.990364	+	0.241178i
$11$	0.597913	+	0.434409i	0.180278	+	0.130979i	0.674264	−	0.738490i	$-0.264461\pi$
$11$	0.597913	+	0.434409i	0.180278	+	0.130979i	−0.493987	+	0.869469i	$0.664461\pi$
$12$	−0.0630826	+	0.0458322i	−0.0182104	+	0.0132306i
$13$	0.00453804	−	0.00329708i	0.00125863	−	0.000914445i	−0.587156	−	0.809474i	$-0.699752\pi$
$13$	0.00453804	−	0.00329708i	0.00125863	−	0.000914445i	0.588414	+	0.808560i	$0.299752\pi$
$14$	1.16621	+	0.847303i	0.311683	+	0.226451i
$15$	1.44667	+	1.70504i	0.373528	+	0.440239i
$16$	3.35731	−	2.43923i	0.839329	−	0.609808i
$17$	−1.18230	+	3.63875i	−0.286751	+	0.882527i	0.699118	+	0.715006i	$0.253576\pi$
$17$	−1.18230	+	3.63875i	−0.286751	+	0.882527i	−0.985868	+	0.167521i	$0.946424\pi$
$18$	−1.44152			−0.339769
$19$	0.983098	−	3.02567i	0.225538	−	0.694135i	−0.772698	−	0.634773i	$-0.781093\pi$
$19$	0.983098	−	3.02567i	0.225538	−	0.694135i	0.998237	−	0.0593618i	$-0.0189066\pi$
$20$	0.112803	+	0.132949i	0.0252235	+	0.0297284i
$21$	0.309017	+	0.951057i	0.0674330	+	0.207538i
$22$	0.329218	+	1.01323i	0.0701894	+	0.216021i
$23$	−1.00964	−	0.733548i	−0.210525	−	0.152955i	0.477526	−	0.878617i	$-0.341534\pi$
$23$	−1.00964	−	0.733548i	−0.210525	−	0.152955i	−0.688051	+	0.725662i	$0.741534\pi$
$24$	2.77063			0.565553
$25$	3.55848	−	3.51244i	0.711696	−	0.702488i
$26$	0.00808595			0.00158578
$27$	−0.809017	−	0.587785i	−0.155695	−	0.113119i
$28$	0.0240954	+	0.0741580i	0.00455360	+	0.0140145i
$29$	1.00495	+	3.09293i	0.186615	+	0.574342i	0.999972	−	0.00742219i	$-0.00236258\pi$
$29$	1.00495	+	3.09293i	0.186615	+	0.574342i	−0.813357	+	0.581764i	$0.802363\pi$
$30$	0.242437	+	3.21420i	0.0442627	+	0.586830i
$31$	−2.15049	+	6.61853i	−0.386240	+	1.18872i	0.549337	+	0.835601i	$0.314880\pi$
$31$	−2.15049	+	6.61853i	−0.386240	+	1.18872i	−0.935577	+	0.353123i	$0.885120\pi$
$32$	0.440841			0.0779305
$33$	−0.228383	+	0.702889i	−0.0397563	+	0.122357i
$34$	−4.46194	+	3.24179i	−0.765217	+	0.555963i
$35$	2.06863	−	0.848976i	0.349663	−	0.143503i
$36$	−0.0630826	−	0.0458322i	−0.0105138	−	0.00763870i
$37$	−6.02482	+	4.37729i	−0.990475	+	0.719622i	−0.960025	−	0.279914i	$-0.909694\pi$
$37$	−6.02482	+	4.37729i	−0.990475	+	0.719622i	−0.0304500	+	0.999536i	$0.509694\pi$
$38$	3.71016	−	2.69559i	0.601867	−	0.437282i
$39$	0.00453804	+	0.00329708i	0.000726668	+	0.000527955i
$40$	−0.465970	−	6.17778i	−0.0736764	−	0.976793i
$41$	−0.453792	+	0.329699i	−0.0708703	+	0.0514903i	−0.622656	−	0.782495i	$-0.713947\pi$
$41$	−0.453792	+	0.329699i	−0.0708703	+	0.0514903i	0.551786	+	0.833986i	$0.313947\pi$
$42$	−0.445454	+	1.37097i	−0.0687350	+	0.211545i
$43$	−9.55509			−1.45714			−0.728569	−	0.684972i	$-0.759814\pi$
$43$	−9.55509			−1.45714			−0.728569	+	0.684972i	$0.759814\pi$
$44$	−0.0178080	+	0.0548073i	−0.00268465	+	0.00826251i
$45$	−1.17454	+	1.90275i	−0.175091	+	0.283645i
$46$	−0.555920	−	1.71094i	−0.0819659	−	0.252265i
$47$	1.02967	+	3.16899i	0.150192	+	0.462244i	0.997642	−	0.0686314i	$-0.0218632\pi$
$47$	1.02967	+	3.16899i	0.150192	+	0.462244i	−0.847450	+	0.530875i	$0.821863\pi$
$48$	3.35731	+	2.43923i	0.484587	+	0.352073i
$49$	1.00000			0.142857
$50$	7.12604	−	1.08114i	1.00777	−	0.152896i
$51$	−3.82601			−0.535749
$52$	0.000353851	0	0.000257088i	4.90703e−5	0	3.56516e-5i
$53$	−1.55936	−	4.79922i	−0.214195	−	0.659224i	−0.999210	−	0.0397470i	$-0.987345\pi$
$53$	−1.55936	−	4.79922i	−0.214195	−	0.659224i	0.785015	−	0.619477i	$-0.212655\pi$
$54$	−0.445454	−	1.37097i	−0.0606186	−	0.186565i
$55$	1.60567	+	0.391019i	0.216508	+	0.0527250i
$56$	0.856173	−	2.63503i	0.114411	−	0.352121i
$57$	3.18137			0.421383
$58$	−1.44866	+	4.45851i	−0.190218	+	0.585431i
$59$	4.34843	−	3.15932i	0.566117	−	0.411308i	−0.267576	−	0.963537i	$-0.586223\pi$
$59$	4.34843	−	3.15932i	0.566117	−	0.411308i	0.833693	+	0.552229i	$0.186223\pi$
$60$	−0.0915842	+	0.148366i	−0.0118235	+	0.0191539i
$61$	−5.09961	−	3.70509i	−0.652939	−	0.474388i	0.211332	−	0.977414i	$-0.432220\pi$
$61$	−5.09961	−	3.70509i	−0.652939	−	0.474388i	−0.864271	+	0.503027i	$0.832220\pi$
$62$	−8.11584	+	5.89650i	−1.03071	+	0.748856i
$63$	−0.809017	+	0.587785i	−0.101927	+	0.0740540i
$64$	−6.20051	−	4.50494i	−0.775064	−	0.563117i
$65$	0.00658840	−	0.0106731i	0.000817190	−	0.00132384i
$66$	−0.861903	+	0.626209i	−0.106093	+	0.0770810i
$67$	−2.73581	+	8.41995i	−0.334232	+	1.02866i	0.632867	+	0.774261i	$0.281878\pi$
$67$	−2.73581	+	8.41995i	−0.334232	+	1.02866i	−0.967099	+	0.254400i	$0.918122\pi$
$68$	−0.298331			−0.0361779
$69$	0.385649	−	1.18690i	0.0464267	−	0.142887i
$70$	3.13181	+	0.762672i	0.374322	+	0.0911567i
$71$	−2.02503	−	6.23241i	−0.240327	−	0.739651i	−0.996370	−	0.0851286i	$-0.972870\pi$
$71$	−2.02503	−	6.23241i	−0.240327	−	0.739651i	0.756043	−	0.654522i	$-0.227130\pi$
$72$	0.856173	+	2.63503i	0.100901	+	0.310541i
$73$	6.53855	+	4.75054i	0.765280	+	0.556008i	0.900525	−	0.434804i	$-0.143182\pi$
$73$	6.53855	+	4.75054i	0.765280	+	0.556008i	−0.135246	+	0.990812i	$0.543182\pi$
$74$	−10.7351			−1.24793
$75$	4.44016	+	2.29891i	0.512705	+	0.265455i
$76$	0.248065			0.0284551
$77$	0.597913	+	0.434409i	0.0681385	+	0.0495055i
$78$	0.00249869	+	0.00769019i	0.000282921	+	0.000870743i
$79$	−5.25232	−	16.1650i	−0.590932	−	1.81870i	−0.574013	−	0.818846i	$-0.694614\pi$
$79$	−5.25232	−	16.1650i	−0.590932	−	1.81870i	−0.0169194	−	0.999857i	$-0.505386\pi$
$80$	4.87420	−	7.89615i	0.544952	−	0.882817i
$81$	0.309017	−	0.951057i	0.0343352	−	0.105673i
$82$	−0.808572			−0.0892919
$83$	3.48662	−	10.7307i	0.382706	−	1.17785i	−0.555424	−	0.831567i	$-0.687444\pi$
$83$	3.48662	−	10.7307i	0.382706	−	1.17785i	0.938131	−	0.346282i	$-0.112556\pi$
$84$	−0.0630826	+	0.0458322i	−0.00688287	+	0.00500070i
$85$	0.643465	+	8.53099i	0.0697936	+	0.925316i
$86$	−11.1433	−	8.09606i	−1.20161	−	0.873020i
$87$	−2.63100	+	1.91153i	−0.282073	+	0.204938i
$88$	1.65660	−	1.20359i	0.176594	−	0.128303i
$89$	−2.49833	−	1.81514i	−0.264822	−	0.192404i	0.447448	−	0.894310i	$-0.352333\pi$
$89$	−2.49833	−	1.81514i	−0.264822	−	0.192404i	−0.712270	+	0.701905i	$0.752333\pi$
$90$	−2.98197	+	1.22381i	−0.314327	+	0.129001i
$91$	0.00453804	−	0.00329708i	0.000475716	−	0.000345628i
$92$	0.0300707	−	0.0925481i	0.00313509	−	0.00964881i
$93$	−6.95914			−0.721629
$94$	−1.48428	+	4.56815i	−0.153092	+	0.471169i
$95$	−0.535049	−	7.09362i	−0.0548948	−	0.727790i
$96$	0.136227	+	0.419265i	0.0139037	+	0.0427911i
$97$	5.21285	+	16.0435i	0.529284	+	1.62897i	0.755685	+	0.654936i	$0.227304\pi$
$97$	5.21285	+	16.0435i	0.529284	+	1.62897i	−0.226400	+	0.974034i	$0.572696\pi$
$98$	1.16621	+	0.847303i	0.117805	+	0.0855905i
$99$	−0.739061			−0.0742785
$100$	0.346218	+	0.179256i	0.0346218	+	0.0179256i
$101$	15.3107			1.52347			0.761736	−	0.647887i	$-0.224347\pi$
$101$	15.3107			1.52347			0.761736	+	0.647887i	$0.224347\pi$
$102$	−4.46194	−	3.24179i	−0.441798	−	0.320985i
$103$	−2.06166	−	6.34512i	−0.203141	−	0.625203i	−0.999785	−	0.0207542i	$-0.993393\pi$
$103$	−2.06166	−	6.34512i	−0.203141	−	0.625203i	0.796644	−	0.604449i	$-0.206607\pi$
$104$	−0.00480256	−	0.0147807i	−0.000470929	−	0.00144937i
$105$	1.44667	+	1.70504i	0.141180	+	0.166395i
$106$	2.24785	−	6.91816i	0.218330	−	0.671951i
$107$	−10.0365			−0.970270			−0.485135	−	0.874439i	$-0.661229\pi$
$107$	−10.0365			−0.970270			−0.485135	+	0.874439i	$0.661229\pi$
$108$	0.0240954	−	0.0741580i	0.00231858	−	0.00713586i
$109$	−10.5556	+	7.66911i	−1.01104	+	0.734567i	−0.964428	−	0.264346i	$-0.914844\pi$
$109$	−10.5556	+	7.66911i	−1.01104	+	0.734567i	−0.0466168	+	0.998913i	$0.514844\pi$
$110$	1.54124	+	1.81650i	0.146951	+	0.173196i
$111$	−6.02482	−	4.37729i	−0.571851	−	0.415474i
$112$	3.35731	−	2.43923i	0.317236	−	0.230486i
$113$	6.62205	−	4.81120i	0.622950	−	0.452600i	−0.231001	−	0.972954i	$-0.574200\pi$
$113$	6.62205	−	4.81120i	0.622950	−	0.452600i	0.853951	+	0.520354i	$0.174200\pi$
$114$	3.71016	+	2.69559i	0.347488	+	0.252465i
$115$	−2.71134	−	0.660279i	−0.252834	−	0.0615713i
$116$	−0.205151	+	0.149051i	−0.0190478	+	0.0138390i
$117$	−0.00173338	+	0.00533479i	−0.000160251	+	0.000493201i
$118$	7.74809			0.713269
$119$	−1.18230	+	3.63875i	−0.108382	+	0.333564i
$120$	5.73142	−	2.35220i	0.523205	−	0.214726i
$121$	−3.23040	−	9.94214i	−0.293673	−	0.903831i
$122$	−2.80790	−	8.64183i	−0.254216	−	0.782395i
$123$	−0.453792	−	0.329699i	−0.0409170	−	0.0297279i
$124$	−0.542634			−0.0487300
$125$	4.37921	−	10.2870i	0.391688	−	0.920098i
$126$	−1.44152			−0.128421
$127$	6.85865	+	4.98310i	0.608606	+	0.442178i	0.848923	−	0.528516i	$-0.177251\pi$
$127$	6.85865	+	4.98310i	0.608606	+	0.442178i	−0.240317	+	0.970694i	$0.577251\pi$
$128$	−3.68653	−	11.3460i	−0.325846	−	1.00285i
$129$	−2.95269	−	9.08743i	−0.259969	−	0.800104i
$130$	0.0167268	−	0.00686478i	0.00146704	−	0.000602081i
$131$	−2.22038	+	6.83363i	−0.193996	+	0.597057i	0.805991	+	0.591927i	$0.201633\pi$
$131$	−2.22038	+	6.83363i	−0.193996	+	0.597057i	−0.999987	+	0.00512957i	$0.998367\pi$
$132$	−0.0576278			−0.00501586
$133$	0.983098	−	3.02567i	0.0852454	−	0.262358i
$134$	−10.3248	+	7.50140i	−0.891926	+	0.648022i
$135$	−2.17257	−	0.529075i	−0.186985	−	0.0455356i
$136$	8.57597	+	6.23081i	0.735383	+	0.534287i
$137$	0.137932	−	0.100213i	0.0117843	−	0.00856182i	−0.581877	−	0.813276i	$-0.697682\pi$
$137$	0.137932	−	0.100213i	0.0117843	−	0.00856182i	0.593662	+	0.804715i	$0.297682\pi$
$138$	1.45542	−	1.05742i	0.123893	−	0.0900137i
$139$	−0.0397659	−	0.0288916i	−0.00337290	−	0.00245055i	0.586098	−	0.810241i	$-0.300664\pi$
$139$	−0.0397659	−	0.0288916i	−0.00337290	−	0.00245055i	−0.589470	+	0.807790i	$0.700664\pi$
$140$	0.112803	+	0.132949i	0.00953359	+	0.0112363i
$141$	−2.69570	+	1.95854i	−0.227019	+	0.164939i
$142$	2.91912	−	8.98413i	0.244967	−	0.753931i
$143$	0.00414564			0.000346676
$144$	−1.28238	+	3.94676i	−0.106865	+	0.328897i
$145$	4.70470	+	5.54495i	0.390704	+	0.460483i
$146$	3.60020	+	11.0803i	0.297954	+	0.917010i
$147$	0.309017	+	0.951057i	0.0254873	+	0.0784418i
$148$	−0.469782	−	0.341316i	−0.0386158	−	0.0280560i
$149$	13.7520			1.12660			0.563302	−	0.826251i	$-0.309531\pi$
$149$	13.7520			1.12660			0.563302	+	0.826251i	$0.309531\pi$
$150$	3.23029	+	6.44318i	0.263752	+	0.526083i
$151$	−15.0435			−1.22422			−0.612112	−	0.790771i	$-0.709680\pi$
$151$	−15.0435			−1.22422			−0.612112	+	0.790771i	$0.709680\pi$
$152$	−7.13102	−	5.18099i	−0.578402	−	0.420234i
$153$	−1.18230	−	3.63875i	−0.0955835	−	0.294176i
$154$	0.329218	+	1.01323i	0.0265291	+	0.0816482i
$155$	1.17040	+	15.5170i	0.0940088	+	1.24636i
$156$	−0.000135159	0	0.000415977i	−1.08214e−5	0	3.33048e-5i
$157$	13.1198			1.04708			0.523538	−	0.852002i	$-0.324612\pi$
$157$	13.1198			1.04708			0.523538	+	0.852002i	$0.324612\pi$
$158$	7.57132	−	23.3021i	0.602342	−	1.85382i
$159$	4.08246	−	2.96608i	0.323760	−	0.235226i
$160$	0.911939	−	0.374264i	0.0720951	−	0.0295881i
$161$	−1.00964	−	0.733548i	−0.0795709	−	0.0578116i
$162$	1.16621	−	0.847303i	0.0916263	−	0.0665704i
$163$	−15.9537	+	11.5910i	−1.24959	+	0.907880i	−0.998198	−	0.0600055i	$-0.980888\pi$
$163$	−15.9537	+	11.5910i	−1.24959	+	0.907880i	−0.251392	+	0.967885i	$0.580888\pi$
$164$	−0.0353841	−	0.0257081i	−0.00276303	−	0.00200746i
$165$	0.124297	+	1.64791i	0.00967648	+	0.128290i
$166$	13.1583	−	9.56007i	1.02128	−	0.742005i
$167$	−1.12567	+	3.46444i	−0.0871067	+	0.268087i	−0.985116	−	0.171889i	$-0.945013\pi$
$167$	−1.12567	+	3.46444i	−0.0871067	+	0.268087i	0.898010	+	0.439976i	$0.145013\pi$
$168$	2.77063			0.213759
$169$	−4.01721	+	12.3637i	−0.309016	+	0.951054i
$170$	−6.47792	+	10.4942i	−0.496834	+	0.804865i
$171$	0.983098	+	3.02567i	0.0751794	+	0.231378i
$172$	−0.230234	−	0.708587i	−0.0175552	−	0.0540292i
$173$	10.0201	+	7.28001i	0.761812	+	0.553489i	0.899466	−	0.436992i	$-0.143956\pi$
$173$	10.0201	+	7.28001i	0.761812	+	0.553489i	−0.137654	+	0.990480i	$0.543956\pi$
$174$	−4.68796			−0.355393
$175$	3.55848	−	3.51244i	0.268996	−	0.265515i
$176$	3.06701			0.231184
$177$	4.34843	+	3.15932i	0.326848	+	0.237469i
$178$	−1.37561	−	4.23368i	−0.103106	−	0.317328i
$179$	−5.07279	−	15.6124i	−0.379158	−	1.16693i	−0.940630	−	0.339433i	$-0.889765\pi$
$179$	−5.07279	−	15.6124i	−0.379158	−	1.16693i	0.561472	−	0.827496i	$-0.310235\pi$
$180$	−0.169405	−	0.0412543i	−0.0126267	−	0.00307492i
$181$	−3.47797	+	10.7041i	−0.258515	+	0.795628i	0.734602	+	0.678499i	$0.237369\pi$
$181$	−3.47797	+	10.7041i	−0.258515	+	0.795628i	−0.993117	+	0.117129i	$0.962631\pi$
$182$	0.00808595			0.000599370
$183$	1.94788	−	5.99495i	0.143991	−	0.443160i
$184$	−2.79735	+	2.03239i	−0.206223	+	0.149830i
$185$	−8.74693	+	14.1699i	−0.643087	+	1.04179i
$186$	−8.11584	−	5.89650i	−0.595082	−	0.432352i
$187$	−2.28762	+	1.66206i	−0.167288	+	0.121542i
$188$	−0.210195	+	0.152716i	−0.0153301	+	0.0111380i
$189$	−0.809017	−	0.587785i	−0.0588473	−	0.0427551i
$190$	5.38646	−	8.72601i	0.390775	−	0.633051i
$191$	4.26301	−	3.09726i	0.308460	−	0.224110i	−0.422775	−	0.906235i	$-0.638944\pi$
$191$	4.26301	−	3.09726i	0.308460	−	0.224110i	0.731236	+	0.682125i	$0.238944\pi$
$192$	2.36839	−	7.28914i	0.170924	−	0.526048i
$193$	−7.96437			−0.573288			−0.286644	−	0.958037i	$-0.592540\pi$
$193$	−7.96437			−0.573288			−0.286644	+	0.958037i	$0.592540\pi$
$194$	−7.51441	+	23.1270i	−0.539503	+	1.66042i
$195$	0.0121867	+	0.00296776i	0.000872706	+	0.000212526i
$196$	0.0240954	+	0.0741580i	0.00172110	+	0.00529700i
$197$	5.01959	+	15.4487i	0.357631	+	1.10068i	0.954468	+	0.298313i	$0.0964239\pi$
$197$	5.01959	+	15.4487i	0.357631	+	1.10068i	−0.596837	+	0.802362i	$0.703576\pi$
$198$	−0.861903	−	0.626209i	−0.0612528	−	0.0445027i
$199$	−5.88851			−0.417425			−0.208713	−	0.977977i	$-0.566927\pi$
$199$	−5.88851			−0.417425			−0.208713	+	0.977977i	$0.566927\pi$
$200$	−6.20871	−	12.3840i	−0.439022	−	0.875678i
$201$	−8.85326			−0.624461
$202$	17.8555	+	12.9728i	1.25631	+	0.912764i
$203$	1.00495	+	3.09293i	0.0705339	+	0.217081i
$204$	−0.0921893	−	0.283729i	−0.00645454	−	0.0198650i
$205$	−0.658821	+	1.06728i	−0.0460141	+	0.0745423i
$206$	2.97191	−	9.14661i	0.207063	−	0.637274i
$207$	1.24799			0.0867410
$208$	0.00719329	−	0.0221387i	0.000498765	−	0.00153504i
$209$	1.90218	−	1.38202i	0.131577	−	0.0955962i
$210$	0.242437	+	3.21420i	0.0167297	+	0.221801i
$211$	−3.66669	−	2.66401i	−0.252426	−	0.183398i	0.454376	−	0.890810i	$-0.349862\pi$
$211$	−3.66669	−	2.66401i	−0.252426	−	0.183398i	−0.706801	+	0.707412i	$0.749862\pi$
$212$	0.318327	−	0.231278i	0.0218628	−	0.0158843i
$213$	5.30160	−	3.85184i	0.363260	−	0.263924i
$214$	−11.7047	−	8.50400i	−0.800120	−	0.581321i
$215$	−19.7660	+	8.11205i	−1.34803	+	0.553237i
$216$	−2.24149	+	1.62854i	−0.152514	+	0.110808i
$217$	−2.15049	+	6.61853i	−0.145985	+	0.449295i
$218$	−18.8082			−1.27385
$219$	−2.49750	+	7.68653i	−0.168766	+	0.519407i
$220$	0.00969195	+	0.128495i	0.000653431	+	0.00866311i
$221$	0.00663192	+	0.0204110i	0.000446111	+	0.00137299i
$222$	−3.31733	−	10.2097i	−0.222645	−	0.685231i
$223$	12.2534	+	8.90258i	0.820545	+	0.596161i	0.916869	−	0.399189i	$-0.130708\pi$
$223$	12.2534	+	8.90258i	0.820545	+	0.596161i	−0.0963232	+	0.995350i	$0.530708\pi$
$224$	0.440841			0.0294550
$225$	−0.814310	+	4.93324i	−0.0542874	+	0.328883i
$226$	11.7993			0.784875
$227$	−14.8138	−	10.7629i	−0.983228	−	0.714357i	−0.0248004	−	0.999692i	$-0.507895\pi$
$227$	−14.8138	−	10.7629i	−0.983228	−	0.714357i	−0.958428	+	0.285335i	$0.907895\pi$
$228$	0.0766564	+	0.235924i	0.00507670	+	0.0156245i
$229$	−3.16007	−	9.72569i	−0.208823	−	0.642692i	−0.999535	−	0.0305029i	$-0.990289\pi$
$229$	−3.16007	−	9.72569i	−0.208823	−	0.642692i	0.790711	−	0.612189i	$-0.209711\pi$
$230$	−2.60254	−	3.06735i	−0.171607	−	0.202255i
$231$	−0.228383	+	0.702889i	−0.0150265	+	0.0462467i
$232$	9.01037			0.591560
$233$	3.69322	−	11.3666i	0.241951	−	0.744648i	−0.754172	−	0.656677i	$-0.771962\pi$
$233$	3.69322	−	11.3666i	0.241951	−	0.744648i	0.996123	−	0.0879712i	$-0.0280383\pi$
$234$	−0.00654167	+	0.00475280i	−0.000427642	+	0.000310700i
$235$	4.82039	+	5.68130i	0.314448	+	0.370607i
$236$	0.339066	+	0.246346i	0.0220713	+	0.0160357i
$237$	13.7508	−	9.99051i	0.893208	−	0.648953i
$238$	−4.46194	+	3.24179i	−0.289225	+	0.210134i
$239$	20.2451	+	14.7089i	1.30955	+	0.951442i	1.00000		0.000557731i	$0.000177531\pi$
$239$	20.2451	+	14.7089i	1.30955	+	0.951442i	0.309547	+	0.950884i	$0.399822\pi$
$240$	9.01590	+	2.19559i	0.581974	+	0.141725i
$241$	3.21158	−	2.33335i	0.206876	−	0.150304i	−0.479523	−	0.877529i	$-0.659190\pi$
$241$	3.21158	−	2.33335i	0.206876	−	0.150304i	0.686399	+	0.727225i	$0.259190\pi$
$242$	4.65668	−	14.3318i	0.299343	−	0.921282i
$243$	1.00000			0.0641500
$244$	0.151885	−	0.467453i	0.00972341	−	0.0299256i
$245$	2.06863	−	0.848976i	0.132160	−	0.0542391i
$246$	−0.249863	−	0.768998i	−0.0159307	−	0.0490295i
$247$	−0.00551452	−	0.0169719i	−0.000350880	−	0.00107990i
$248$	15.5988	+	11.3332i	0.990528	+	0.719660i
$249$	11.2829			0.715027
$250$	13.8233	−	8.28632i	0.874262	−	0.524073i
$251$	−15.2957			−0.965455			−0.482728	−	0.875771i	$-0.660354\pi$
$251$	−15.2957			−0.965455			−0.482728	+	0.875771i	$0.660354\pi$
$252$	−0.0630826	−	0.0458322i	−0.00397383	−	0.00288716i
$253$	−0.285018	−	0.877195i	−0.0179189	−	0.0551488i
$254$	3.77645	+	11.6227i	0.236955	+	0.729273i
$255$	−7.91461	+	3.24819i	−0.495632	+	0.203410i
$256$	0.577422	−	1.77712i	0.0360889	−	0.111070i
$257$	0.511368			0.0318982			0.0159491	−	0.999873i	$-0.494923\pi$
$257$	0.511368			0.0318982			0.0159491	+	0.999873i	$0.494923\pi$
$258$	4.25635	−	13.0997i	0.264989	−	0.815552i
$259$	−6.02482	+	4.37729i	−0.374364	+	0.271992i
$260$	0.000950248	0	0.000231409i	5.89319e−5	0	1.43514e-5i
$261$	−2.63100	−	1.91153i	−0.162855	−	0.118321i
$262$	−8.37959	+	6.08813i	−0.517693	+	0.376126i
$263$	15.2886	−	11.1078i	0.942732	−	0.684935i	−0.00634439	−	0.999980i	$-0.502019\pi$
$263$	15.2886	−	11.1078i	0.942732	−	0.684935i	0.949077	+	0.315045i	$0.102019\pi$
$264$	1.65660	+	1.20359i	0.101957	+	0.0740758i
$265$	−7.30017	−	8.60396i	−0.448446	−	0.528537i
$266$	3.71016	−	2.69559i	0.227484	−	0.165277i
$267$	0.954275	−	2.93696i	0.0584007	−	0.179739i
$268$	−0.690327			−0.0421685
$269$	−1.93858	+	5.96633i	−0.118197	+	0.363773i	−0.992600	−	0.121426i	$-0.961253\pi$
$269$	−1.93858	+	5.96633i	−0.118197	+	0.363773i	0.874403	+	0.485200i	$0.161253\pi$
$270$	−2.08540	−	2.45784i	−0.126913	−	0.149580i
$271$	−4.51135	−	13.8845i	−0.274045	−	0.843424i	−0.989470	−	0.144735i	$-0.953767\pi$
$271$	−4.51135	−	13.8845i	−0.274045	−	0.843424i	0.715425	−	0.698689i	$-0.246233\pi$
$272$	4.90640	+	15.1004i	0.297494	+	0.915593i
$273$	0.00453804	+	0.00329708i	0.000274655	+	0.000199548i
$274$	0.245769			0.0148475
$275$	3.65350	−	0.554297i	0.220314	−	0.0334254i
$276$	0.0973109			0.00585743
$277$	4.06555	+	2.95379i	0.244275	+	0.177476i	0.703186	−	0.711006i	$-0.251760\pi$
$277$	4.06555	+	2.95379i	0.244275	+	0.177476i	−0.458911	+	0.888482i	$0.651760\pi$
$278$	−0.0218955	−	0.0673875i	−0.00131321	−	0.00404164i
$279$	−2.15049	−	6.61853i	−0.128747	−	0.396241i
$280$	−0.465970	−	6.17778i	−0.0278470	−	0.369193i
$281$	−2.39963	+	7.38529i	−0.143150	+	0.440570i	−0.996768	−	0.0803288i	$-0.974403\pi$
$281$	−2.39963	+	7.38529i	−0.143150	+	0.440570i	0.853619	+	0.520898i	$0.174403\pi$
$282$	−4.80324			−0.286029
$283$	−8.90996	+	27.4220i	−0.529642	+	1.63007i	0.225307	+	0.974288i	$0.427661\pi$
$283$	−8.90996	+	27.4220i	−0.529642	+	1.63007i	−0.754949	+	0.655783i	$0.772339\pi$
$284$	0.413389	−	0.300345i	0.0245301	−	0.0178222i
$285$	6.58109	−	2.70091i	0.389830	−	0.159988i
$286$	0.00483469	+	0.00351261i	0.000285881	+	0.000207705i
$287$	−0.453792	+	0.329699i	−0.0267865	+	0.0194615i
$288$	−0.356648	+	0.259120i	−0.0210157	+	0.0152688i
$289$	1.91060	+	1.38813i	0.112388	+	0.0816548i
$290$	0.788429	+	10.4529i	0.0462981	+	0.613815i
$291$	−13.6474	+	9.91542i	−0.800025	+	0.581252i
$292$	−0.194741	+	0.599352i	−0.0113964	+	0.0350744i
$293$	18.4088			1.07546			0.537728	−	0.843118i	$-0.319283\pi$
$293$	18.4088			1.07546			0.537728	+	0.843118i	$0.319283\pi$
$294$	−0.445454	+	1.37097i	−0.0259794	+	0.0799563i
$295$	6.31311	−	10.2272i	0.367563	−	0.595449i
$296$	6.37600	+	19.6233i	0.370598	+	1.14058i
$297$	−0.228383	−	0.702889i	−0.0132521	−	0.0407858i
$298$	16.0377	+	11.6521i	0.929039	+	0.674987i
$299$	−0.00700036			−0.000404841
$300$	−0.0634953	+	0.384667i	−0.00366590	+	0.0222087i
$301$	−9.55509			−0.550746
$302$	−17.5439	−	12.7464i	−1.00954	−	0.733473i
$303$	4.73127	+	14.5614i	0.271804	+	0.836528i
$304$	−4.07973	−	12.5561i	−0.233988	−	0.720142i
$305$	−13.6948	−	3.33501i	−0.784159	−	0.190962i
$306$	1.70431	−	5.24533i	0.0974290	−	0.299856i
$307$	26.5663			1.51622			0.758110	−	0.652126i	$-0.226123\pi$
$307$	26.5663			1.51622			0.758110	+	0.652126i	$0.226123\pi$
$308$	−0.0178080	+	0.0548073i	−0.00101470	+	0.00312294i
$309$	5.39748	−	3.92150i	0.307052	−	0.223086i
$310$	−11.7827	+	19.0878i	−0.669212	+	1.08412i
$311$	10.0220	+	7.28143i	0.568297	+	0.412892i	0.834486	−	0.551029i	$-0.185765\pi$
$311$	10.0220	+	7.28143i	0.568297	+	0.412892i	−0.266189	+	0.963921i	$0.585765\pi$
$312$	0.0125733	−	0.00913500i	0.000711820	−	0.000517168i
$313$	−12.4851	+	9.07094i	−0.705699	+	0.512720i	−0.881783	−	0.471655i	$-0.843657\pi$
$313$	−12.4851	+	9.07094i	−0.705699	+	0.512720i	0.176085	+	0.984375i	$0.443657\pi$
$314$	15.3005	+	11.1165i	0.863457	+	0.627338i
$315$	−1.17454	+	1.90275i	−0.0661780	+	0.107208i
$316$	1.07221	−	0.779004i	0.0603163	−	0.0438224i
$317$	7.26503	−	22.3595i	0.408045	−	1.25583i	−0.510281	−	0.860008i	$-0.670459\pi$
$317$	7.26503	−	22.3595i	0.408045	−	1.25583i	0.918326	−	0.395825i	$-0.129541\pi$
$318$	7.27419			0.407916
$319$	−0.742722	+	2.28586i	−0.0415844	+	0.127984i
$320$	−16.6512	−	4.05497i	−0.930829	−	0.226680i
$321$	−3.10146	−	9.54532i	−0.173107	−	0.532768i
$322$	−0.555920	−	1.71094i	−0.0309802	−	0.0953472i
$323$	9.84733	+	7.15450i	0.547920	+	0.398087i
$324$	0.0779744			0.00433191
$325$	0.00456773	−	0.0276722i	0.000253372	−	0.00153498i
$326$	−28.4265			−1.57440
$327$	−10.5556	−	7.66911i	−0.583727	−	0.424102i
$328$	0.480242	+	1.47803i	0.0265169	+	0.0816108i
$329$	1.02967	+	3.16899i	0.0567673	+	0.174712i
$330$	−1.25132	+	2.02713i	−0.0688831	+	0.111590i
$331$	10.4827	−	32.2624i	0.576180	−	1.77330i	−0.0559461	−	0.998434i	$-0.517817\pi$
$331$	10.4827	−	32.2624i	0.576180	−	1.77330i	0.632126	−	0.774866i	$-0.282183\pi$
$332$	0.879780			0.0482842
$333$	2.30128	−	7.08261i	0.126109	−	0.388124i
$334$	−4.24820	+	3.08650i	−0.232451	+	0.168886i
$335$	1.48896	+	19.7404i	0.0813504	+	1.07853i
$336$	3.35731	+	2.43923i	0.183157	+	0.133071i
$337$	8.20253	−	5.95948i	0.446820	−	0.324634i	−0.341519	−	0.939875i	$-0.610941\pi$
$337$	8.20253	−	5.95948i	0.446820	−	0.324634i	0.788339	+	0.615241i	$0.210941\pi$
$338$	−15.1607	+	11.0149i	−0.824635	+	0.599132i
$339$	6.62205	+	4.81120i	0.359660	+	0.261309i
$340$	−0.617137	+	0.253276i	−0.0334689	+	0.0137358i
$341$	−4.16096	+	3.02311i	−0.225329	+	0.163711i
$342$	−1.41715	+	4.36155i	−0.0766309	+	0.235846i
$343$	1.00000			0.0539949
$344$	−8.18081	+	25.1780i	−0.441080	+	1.35750i
$345$	−0.209888	−	2.78268i	−0.0113000	−	0.149814i
$346$	5.51716	+	16.9801i	0.296604	+	0.912854i
$347$	8.88741	+	27.3526i	0.477101	+	1.46837i	0.843103	+	0.537752i	$0.180726\pi$
$347$	8.88741	+	27.3526i	0.477101	+	1.46837i	−0.366002	+	0.930614i	$0.619274\pi$
$348$	−0.205151	−	0.149051i	−0.0109972	−	0.00798995i
$349$	16.7331			0.895701			0.447851	−	0.894108i	$-0.352190\pi$
$349$	16.7331			0.895701			0.447851	+	0.894108i	$0.352190\pi$
$350$	7.12604	−	1.08114i	0.380903	−	0.0577894i
$351$	−0.00560933			−0.000299404
$352$	0.263585	+	0.191506i	0.0140491	+	0.0102073i
$353$	8.52096	+	26.2248i	0.453525	+	1.39581i	0.872858	+	0.487974i	$0.162264\pi$
$353$	8.52096	+	26.2248i	0.453525	+	1.39581i	−0.419333	+	0.907833i	$0.637736\pi$
$354$	2.39429	+	7.36887i	0.127255	+	0.391651i
$355$	−9.48021	−	11.1734i	−0.503157	−	0.593020i
$356$	0.0744090	−	0.229007i	0.00394367	−	0.0121374i
$357$	−3.82601			−0.202494
$358$	7.31252	−	22.5056i	0.386479	−	1.18946i
$359$	16.9003	−	12.2788i	0.891966	−	0.648051i	−0.0444241	−	0.999013i	$-0.514145\pi$
$359$	16.9003	−	12.2788i	0.891966	−	0.648051i	0.936390	+	0.350962i	$0.114145\pi$
$360$	4.00819	+	4.72404i	0.211250	+	0.248979i
$361$	7.18316	+	5.21887i	0.378061	+	0.274677i
$362$	−13.1256	+	9.53634i	−0.689869	+	0.501219i
$363$	8.45729	−	6.14458i	0.443893	−	0.322507i
$364$	0.000353851	0	0.000257088i	1.85468e−5	0	1.34751e-5i
$365$	17.5589	+	4.27604i	0.919077	+	0.223818i
$366$	7.35118	−	5.34095i	0.384253	−	0.279176i
$367$	2.85027	−	8.77222i	0.148783	−	0.457906i	−0.848695	−	0.528882i	$-0.822611\pi$
$367$	2.85027	−	8.77222i	0.148783	−	0.457906i	0.997478	+	0.0709760i	$0.0226114\pi$
$368$	−5.17898			−0.269973
$369$	0.173333	−	0.533464i	0.00902335	−	0.0277710i
$370$	−22.2070	+	9.11386i	−1.15449	+	0.473807i
$371$	−1.55936	−	4.79922i	−0.0809580	−	0.249163i
$372$	−0.167683	−	0.516076i	−0.00869397	−	0.0267573i
$373$	−4.34160	−	3.15436i	−0.224800	−	0.163326i	0.469685	−	0.882834i	$-0.344368\pi$
$373$	−4.34160	−	3.15436i	−0.224800	−	0.163326i	−0.694485	+	0.719508i	$0.744368\pi$
$374$	−4.07612			−0.210771
$375$	11.1368	+	0.986014i	0.575101	+	0.0509175i
$376$	9.23194			0.476101
$377$	0.0147581	+	0.0107224i	0.000760083	+	0.000552233i
$378$	−0.445454	−	1.37097i	−0.0229117	−	0.0705148i
$379$	−2.25952	−	6.95410i	−0.116064	−	0.357208i	0.876103	−	0.482123i	$-0.160134\pi$
$379$	−2.25952	−	6.95410i	−0.116064	−	0.357208i	−0.992167	+	0.124915i	$0.960134\pi$
$380$	0.513156	−	0.210602i	0.0263244	−	0.0108036i
$381$	−2.61977	+	8.06282i	−0.134215	+	0.413071i
$382$	7.59589			0.388639
$383$	−6.57646	+	20.2403i	−0.336041	+	1.03423i	0.630165	+	0.776461i	$0.282987\pi$
$383$	−6.57646	+	20.2403i	−0.336041	+	1.03423i	−0.966207	+	0.257768i	$0.917013\pi$
$384$	9.65145	−	7.01219i	0.492523	−	0.357839i
$385$	1.60567	+	0.391019i	0.0818323	+	0.0199282i
$386$	−9.28814	−	6.74823i	−0.472754	−	0.343476i
$387$	7.73023	−	5.61634i	0.392950	−	0.285495i
$388$	−1.06415	+	0.773149i	−0.0540239	+	0.0392507i
$389$	11.9782	+	8.70268i	0.607320	+	0.441244i	0.848469	−	0.529244i	$-0.177524\pi$
$389$	11.9782	+	8.70268i	0.607320	+	0.441244i	−0.241150	+	0.970488i	$0.577524\pi$
$390$	0.0116977	+	0.0137868i	0.000592335	+	0.000698124i
$391$	3.86290	−	2.80656i	0.195355	−	0.141934i
$392$	0.856173	−	2.63503i	0.0432433	−	0.133089i
$393$	−7.18530			−0.362451
$394$	−7.23583	+	22.2696i	−0.364536	+	1.12193i
$395$	−24.5888	−	28.9803i	−1.23720	−	1.45816i
$396$	−0.0178080	−	0.0548073i	−0.000894885	−	0.00275417i
$397$	−9.01412	−	27.7426i	−0.452406	−	1.39236i	−0.874154	−	0.485649i	$-0.838583\pi$
$397$	−9.01412	−	27.7426i	−0.452406	−	1.39236i	0.421748	−	0.906713i	$-0.361417\pi$
$398$	−6.86725	−	4.98935i	−0.344224	−	0.250094i
$399$	3.18137			0.159268
$400$	3.37928	−	20.4723i	0.168964	−	1.02362i
$401$	23.3031			1.16370			0.581851	−	0.813295i	$-0.302329\pi$
$401$	23.3031			1.16370			0.581851	+	0.813295i	$0.302329\pi$
$402$	−10.3248	−	7.50140i	−0.514953	−	0.374136i
$403$	0.0120628	+	0.0371255i	0.000600892	+	0.00184935i
$404$	0.368918	+	1.13541i	0.0183543	+	0.0564889i
$405$	−0.168182	−	2.22973i	−0.00835702	−	0.110796i
$406$	−1.44866	+	4.45851i	−0.0718957	+	0.221272i
$407$	−5.50386			−0.272816
$408$	−3.27573	+	10.0817i	−0.162173	+	0.499116i
$409$	28.4626	−	20.6793i	1.40739	−	1.02253i	0.413691	−	0.910417i	$-0.364239\pi$
$409$	28.4626	−	20.6793i	1.40739	−	1.02253i	0.993696	−	0.112109i	$-0.0357606\pi$
$410$	−1.67264	+	0.686459i	−0.0826057	+	0.0339018i
$411$	0.137932	+	0.100213i	0.00680369	+	0.00494317i
$412$	0.420865	−	0.305776i	0.0207345	−	0.0150645i
$413$	4.34843	−	3.15932i	0.213972	−	0.155460i
$414$	1.45542	+	1.05742i	0.0715298	+	0.0519695i
$415$	−1.89758	−	25.1580i	−0.0931487	−	1.23496i
$416$	0.00200056	−	0.00145349i	9.80853e−5	−	7.12632e-5i
$417$	0.0151892	−	0.0467476i	0.000743819	−	0.00228924i
$418$	3.38934			0.165778
$419$	8.61651	−	26.5189i	0.420944	−	1.29553i	−0.485881	−	0.874025i	$-0.661501\pi$
$419$	8.61651	−	26.5189i	0.420944	−	1.29553i	0.906825	−	0.421507i	$-0.138499\pi$
$420$	−0.0915842	+	0.148366i	−0.00446885	+	0.00723950i
$421$	−9.50290	−	29.2469i	−0.463143	−	1.42541i	−0.861303	−	0.508092i	$-0.830351\pi$
$421$	−9.50290	−	29.2469i	−0.463143	−	1.42541i	0.398160	−	0.917316i	$-0.369649\pi$
$422$	−2.01892	−	6.21360i	−0.0982795	−	0.302473i
$423$	−2.69570	−	1.95854i	−0.131069	−	0.0952275i
$424$	−13.9812			−0.678986
$425$	8.57370	+	17.1012i	0.415886	+	0.829530i
$426$	9.44647			0.457683
$427$	−5.09961	−	3.70509i	−0.246788	−	0.179302i
$428$	−0.241835	−	0.744290i	−0.0116895	−	0.0359766i
$429$	0.00128107	+	0.00394273i	6.18507e−5	+	0.000190357i
$430$	−29.9247	−	7.28740i	−1.44310	−	0.351430i
$431$	−2.04277	+	6.28700i	−0.0983967	+	0.302834i	−0.988124	−	0.153658i	$-0.950894\pi$
$431$	−2.04277	+	6.28700i	−0.0983967	+	0.302834i	0.889727	+	0.456492i	$0.150894\pi$
$432$	−4.14987			−0.199661
$433$	2.02646	−	6.23679i	0.0973853	−	0.299721i	−0.890483	−	0.455017i	$-0.849633\pi$
$433$	2.02646	−	6.23679i	0.0973853	−	0.299721i	0.987868	+	0.155296i	$0.0496331\pi$
$434$	−8.11584	+	5.89650i	−0.389573	+	0.283041i
$435$	−3.81973	+	6.18792i	−0.183142	+	0.296688i
$436$	−0.823067	−	0.597994i	−0.0394178	−	0.0286387i
$437$	−3.21205	+	2.33369i	−0.153653	+	0.111635i
$438$	−9.42544	+	6.84798i	−0.450365	+	0.327209i
$439$	−9.38345	−	6.81747i	−0.447848	−	0.325380i	0.340898	−	0.940100i	$-0.389269\pi$
$439$	−9.38345	−	6.81747i	−0.447848	−	0.325380i	−0.788745	+	0.614720i	$0.789269\pi$
$440$	2.40508	−	3.89620i	0.114657	−	0.185744i
$441$	−0.809017	+	0.587785i	−0.0385246	+	0.0279898i
$442$	−0.00956004	+	0.0294228i	−0.000454725	+	0.00139950i
$443$	9.50787			0.451732			0.225866	−	0.974158i	$-0.427479\pi$
$443$	9.50787			0.451732			0.225866	+	0.974158i	$0.427479\pi$
$444$	0.179441	−	0.552262i	0.00851588	−	0.0262092i
$445$	−6.70913	−	1.63384i	−0.318043	−	0.0774513i
$446$	6.74683	+	20.7646i	0.319472	+	0.983233i
$447$	4.24959	+	13.0789i	0.200999	+	0.618610i
$448$	−6.20051	−	4.50494i	−0.292947	−	0.212838i
$449$	−13.3272			−0.628951			−0.314475	−	0.949266i	$-0.601829\pi$
$449$	−13.3272			−0.628951			−0.314475	+	0.949266i	$0.601829\pi$
$450$	−5.12961	+	5.06324i	−0.241812	+	0.238684i
$451$	−0.414552			−0.0195205
$452$	0.516350	+	0.375150i	0.0242871	+	0.0176456i
$453$	−4.64870	−	14.3072i	−0.218415	−	0.672212i
$454$	−8.15665	−	25.1036i	−0.382811	−	1.17817i
$455$	0.00658840	−	0.0106731i	0.000308869	−	0.000500364i
$456$	2.72381	−	8.38301i	0.127554	−	0.392571i
$457$	7.65143			0.357919			0.178959	−	0.983856i	$-0.442727\pi$
$457$	7.65143			0.357919			0.178959	+	0.983856i	$0.442727\pi$
$458$	4.55530	−	14.0198i	0.212855	−	0.655101i
$459$	3.09531	−	2.24887i	0.144477	−	0.104968i
$460$	−0.0163659	−	0.216977i	−0.000763065	−	0.0101166i
$461$	−22.6020	−	16.4213i	−1.05268	−	0.764816i	−0.0799588	−	0.996798i	$-0.525479\pi$
$461$	−22.6020	−	16.4213i	−1.05268	−	0.764816i	−0.972720	+	0.231982i	$0.925479\pi$
$462$	−0.861903	+	0.626209i	−0.0400993	+	0.0291339i
$463$	−17.9411	+	13.0350i	−0.833794	+	0.605787i	−0.920630	−	0.390436i	$-0.872324\pi$
$463$	−17.9411	+	13.0350i	−0.833794	+	0.605787i	0.0868359	+	0.996223i	$0.472324\pi$
$464$	10.9183	+	7.93262i	0.506870	+	0.368262i
$465$	−14.3959	+	5.90814i	−0.667594	+	0.273984i
$466$	13.9380	−	10.1265i	0.645665	−	0.469103i
$467$	3.67730	−	11.3176i	0.170165	−	0.523715i	−0.829214	−	0.558931i	$-0.811212\pi$
$467$	3.67730	−	11.3176i	0.170165	−	0.523715i	0.999380	+	0.0352157i	$0.0112118\pi$
$468$	−0.000437384	0		−2.02181e−5	0
$469$	−2.73581	+	8.41995i	−0.126328	+	0.388797i
$470$	0.807817	+	10.7099i	0.0372618	+	0.494013i
$471$	4.05425	+	12.4777i	0.186810	+	0.574942i
$472$	−4.60189	−	14.1632i	−0.211819	−	0.651912i
$473$	−5.71312	−	4.15082i	−0.262689	−	0.190855i
$474$	24.5013			1.12538
$475$	−7.12913	−	14.2198i	−0.327107	−	0.652451i
$476$	−0.298331			−0.0136740
$477$	4.08246	+	2.96608i	0.186923	+	0.135808i
$478$	11.1472	+	34.3075i	0.509860	+	1.56919i
$479$	−8.41611	−	25.9021i	−0.384542	−	1.18350i	−0.936812	−	0.349833i	$-0.886238\pi$
$479$	−8.41611	−	25.9021i	−0.384542	−	1.18350i	0.552271	−	0.833665i	$-0.313762\pi$
$480$	0.637751	+	0.751651i	0.0291092	+	0.0343080i
$481$	−0.0129086	+	0.0397287i	−0.000588583	+	0.00181147i
$482$	5.72244			0.260650
$483$	0.385649	−	1.18690i	0.0175476	−	0.0540060i
$484$	0.659452	−	0.479120i	0.0299751	−	0.0217782i
$485$	24.4040	+	28.7625i	1.10813	+	1.30604i
$486$	1.16621	+	0.847303i	0.0529005	+	0.0384344i
$487$	−26.4208	+	19.1959i	−1.19724	+	0.869847i	−0.994011	−	0.109284i	$-0.965144\pi$
$487$	−26.4208	+	19.1959i	−1.19724	+	0.869847i	−0.203231	+	0.979131i	$0.565144\pi$
$488$	−14.1292	+	10.2654i	−0.639597	+	0.464695i
$489$	−15.9537	−	11.5910i	−0.721451	−	0.524165i
$490$	3.13181	+	0.762672i	0.141481	+	0.0344540i
$491$	−4.97899	+	3.61745i	−0.224699	+	0.163253i	−0.694439	−	0.719551i	$-0.744347\pi$
$491$	−4.97899	+	3.61745i	−0.224699	+	0.163253i	0.469741	+	0.882805i	$0.344347\pi$
$492$	0.0135155	−	0.0415965i	0.000609327	−	0.00187532i
$493$	−12.4426			−0.560385
$494$	0.00794928	−	0.0244654i	0.000357655	−	0.00110075i
$495$	−1.52885	+	0.627445i	−0.0687165	+	0.0282016i
$496$	8.92426	+	27.4660i	0.400711	+	1.23326i
$497$	−2.02503	−	6.23241i	−0.0908351	−	0.279562i
$498$	13.1583	+	9.56007i	0.589638	+	0.428397i
$499$	12.4539			0.557511			0.278756	−	0.960362i	$-0.410078\pi$
$499$	12.4539			0.557511			0.278756	+	0.960362i	$0.410078\pi$
$500$	0.868383	+	0.0768838i	0.0388353	+	0.00343835i
$501$	−3.64273			−0.162745
$502$	−17.8380	−	12.9601i	−0.796150	−	0.578437i
$503$	−4.63696	−	14.2711i	−0.206752	−	0.636316i	−0.999637	−	0.0269452i	$-0.991422\pi$
$503$	−4.63696	−	14.2711i	−0.206752	−	0.636316i	0.792885	−	0.609371i	$-0.208578\pi$
$504$	0.856173	+	2.63503i	0.0381370	+	0.117374i
$505$	31.6722	−	12.9984i	1.40940	−	0.578422i
$506$	0.410859	−	1.26449i	0.0182649	−	0.0562136i
$507$	−13.0000			−0.577349
$508$	−0.204275	+	0.628693i	−0.00906323	+	0.0278938i
$509$	−26.1772	+	19.0189i	−1.16029	+	0.842997i	−0.989814	−	0.142365i	$-0.954529\pi$
$509$	−26.1772	+	19.0189i	−1.16029	+	0.842997i	−0.170472	+	0.985363i	$0.554529\pi$
$510$	−11.9823	−	2.91799i	−0.530586	−	0.129211i
$511$	6.53855	+	4.75054i	0.289248	+	0.210151i
$512$	−17.1237	+	12.4411i	−0.756770	+	0.549825i
$513$	−2.57378	+	1.86996i	−0.113635	+	0.0825609i
$514$	0.596363	+	0.433283i	0.0263045	+	0.0191113i
$515$	−9.65166	−	11.3754i	−0.425303	−	0.501261i
$516$	0.602760	−	0.437931i	0.0265350	−	0.0192788i
$517$	−0.760986	+	2.34207i	−0.0334681	+	0.103004i
$518$	−10.7351			−0.471674
$519$	−3.82733	+	11.7793i	−0.168001	+	0.517054i
$520$	−0.0224832	−	0.0264987i	−0.000985954	−	0.00116204i
$521$	−1.15730	−	3.56180i	−0.0507022	−	0.156045i	0.922500	−	0.385998i	$-0.126143\pi$
$521$	−1.15730	−	3.56180i	−0.0507022	−	0.156045i	−0.973202	+	0.229953i	$0.926143\pi$
$522$	−1.44866	−	4.45851i	−0.0634060	−	0.195144i
$523$	8.76926	+	6.37124i	0.383453	+	0.278595i	0.762767	−	0.646673i	$-0.223840\pi$
$523$	8.76926	+	6.37124i	0.383453	+	0.278595i	−0.379314	+	0.925268i	$0.623840\pi$
$524$	−0.560269			−0.0244755
$525$	4.44016	+	2.29891i	0.193784	+	0.100333i
$526$	27.2414			1.18778
$527$	−21.5407	−	15.6502i	−0.938327	−	0.681734i
$528$	0.947757	+	2.91690i	0.0412458	+	0.126942i
$529$	−6.62611	−	20.3931i	−0.288092	−	0.886655i
$530$	−1.22339	−	16.2195i	−0.0531405	−	0.704530i
$531$	−1.66095	+	5.11188i	−0.0720791	+	0.221837i
$532$	0.248065			0.0107550
$533$	−0.000972281		0.00299237i	−4.21142e−5		0.000129614i
$534$	3.60138	−	2.61656i	0.155847	−	0.113229i
$535$	−20.7619	+	8.52079i	−0.897616	+	0.368386i
$536$	19.8445	+	14.4179i	0.857152	+	0.622757i
$537$	13.2807	−	9.64902i	0.573106	−	0.416386i
$538$	−7.31608	+	5.31544i	−0.315419	+	0.229165i
$539$	0.597913	+	0.434409i	0.0257539	+	0.0187113i
$540$	−0.0131139	−	0.173862i	−0.000564331	−	0.00748183i
$541$	16.6582	−	12.1029i	0.716191	−	0.520343i	−0.168974	−	0.985621i	$-0.554045\pi$
$541$	16.6582	−	12.1029i	0.716191	−	0.520343i	0.885165	+	0.465277i	$0.154045\pi$
$542$	6.50319	−	20.0148i	0.279336	−	0.859708i
$543$	−11.2549			−0.482995
$544$	−0.521208	+	1.60411i	−0.0223466	+	0.0687758i
$545$	−15.3248	+	24.8260i	−0.656442	+	1.06343i
$546$	0.00249869	+	0.00769019i	0.000106934	+	0.000329110i
$547$	−7.43744	−	22.8901i	−0.318002	−	0.978709i	−0.974501	−	0.224382i	$-0.927964\pi$
$547$	−7.43744	−	22.8901i	−0.318002	−	0.978709i	0.656499	−	0.754327i	$-0.272036\pi$
$548$	0.0107552	+	0.00781408i	0.000459438	+	0.000333801i
$549$	6.30347			0.269025
$550$	4.73041	+	2.44919i	0.201705	+	0.104434i
$551$	10.3461			0.440760
$552$	−2.79735	−	2.03239i	−0.119063	−	0.0865044i
$553$	−5.25232	−	16.1650i	−0.223351	−	0.687405i
$554$	2.23853	+	6.88950i	0.0951062	+	0.292707i
$555$	−16.1794	−	3.94007i	−0.686776	−	0.167247i
$556$	0.00118437	−	0.00364512i	5.02285e−5	−	0.000154587i
$557$	41.3619			1.75256			0.876279	−	0.481804i	$-0.160018\pi$
$557$	41.3619			1.75256			0.876279	+	0.481804i	$0.160018\pi$
$558$	3.09997	−	9.54074i	0.131232	−	0.403892i
$559$	−0.0433614	+	0.0315039i	−0.00183399	+	0.00133247i
$560$	4.87420	−	7.89615i	0.205973	−	0.333673i
$561$	−2.28762	−	1.66206i	−0.0965835	−	0.0701720i
$562$	−9.05606	+	6.57961i	−0.382007	+	0.277544i
$563$	−35.4168	+	25.7318i	−1.49264	+	1.08447i	−0.519440	+	0.854507i	$0.673859\pi$
$563$	−35.4168	+	25.7318i	−1.49264	+	1.08447i	−0.973200	+	0.229960i	$0.926141\pi$
$564$	−0.210195	−	0.152716i	−0.00885083	−	0.00643050i
$565$	9.61399	−	15.5746i	0.404464	−	0.655227i
$566$	−33.6257	+	24.4305i	−1.41339	+	1.02689i
$567$	0.309017	−	0.951057i	0.0129775	−	0.0399406i
$568$	−18.1564			−0.761824
$569$	11.4060	−	35.1040i	0.478164	−	1.47164i	−0.363478	−	0.931603i	$-0.618411\pi$
$569$	11.4060	−	35.1040i	0.478164	−	1.47164i	0.841642	−	0.540035i	$-0.181589\pi$
$570$	9.96344	+	2.42634i	0.417323	+	0.101628i
$571$	1.21917	+	3.75222i	0.0510206	+	0.157025i	0.973321	−	0.229450i	$-0.0736926\pi$
$571$	1.21917	+	3.75222i	0.0510206	+	0.157025i	−0.922300	+	0.386475i	$0.873693\pi$
$572$	9.98908e−5	0	0.000307432i	4.17664e−6	0	1.28544e-5i
$573$	4.26301	+	3.09726i	0.178090	+	0.129390i
$574$	−0.808572			−0.0337492
$575$	−6.16933	+	0.935991i	−0.257279	+	0.0390335i
$576$	7.66426			0.319344
$577$	5.34103	+	3.88048i	0.222350	+	0.161547i	0.693384	−	0.720568i	$-0.256119\pi$
$577$	5.34103	+	3.88048i	0.222350	+	0.161547i	−0.471034	+	0.882115i	$0.656119\pi$
$578$	1.05200	+	3.23771i	0.0437573	+	0.134671i
$579$	−2.46112	−	7.57456i	−0.102281	−	0.314788i
$580$	−0.297841	+	0.482499i	−0.0123672	+	0.0200347i
$581$	3.48662	−	10.7307i	0.144649	−	0.445185i
$582$	−24.3172			−1.00798
$583$	1.15246	−	3.54692i	0.0477302	−	0.146898i
$584$	18.1159	−	13.1620i	0.749643	−	0.544647i
$585$	0.000943386		0.0125073i	3.90042e−5		0.000517114i
$586$	21.4686	+	15.5979i	0.886860	+	0.644342i
$587$	5.67339	−	4.12196i	0.234166	−	0.170132i	−0.464514	−	0.885566i	$-0.653771\pi$
$587$	5.67339	−	4.12196i	0.234166	−	0.170132i	0.698680	+	0.715434i	$0.253771\pi$
$588$	−0.0630826	+	0.0458322i	−0.00260148	+	0.00189009i
$589$	17.9113	+	13.0133i	0.738023	+	0.536205i
$590$	16.0279	−	6.57794i	0.659860	−	0.270810i
$591$	−13.1415	+	9.54783i	−0.540567	+	0.392745i
$592$	−9.55000	+	29.3919i	−0.392503	+	1.20800i
$593$	−34.5585			−1.41915			−0.709574	−	0.704631i	$-0.751113\pi$
$593$	−34.5585			−1.41915			−0.709574	+	0.704631i	$0.751113\pi$
$594$	0.329218	−	1.01323i	0.0135080	−	0.0415732i
$595$	0.643465	+	8.53099i	0.0263795	+	0.349737i
$596$	0.331359	+	1.01982i	0.0135730	+	0.0417734i
$597$	−1.81965	−	5.60030i	−0.0744733	−	0.229205i
$598$	−0.00816391	−	0.00593143i	−0.000333847	−	0.000242554i
$599$	−11.8471			−0.484060			−0.242030	−	0.970269i	$-0.577813\pi$
$599$	−11.8471			−0.484060			−0.242030	+	0.970269i	$0.577813\pi$
$600$	9.85925	−	9.73168i	0.402502	−	0.397294i
$601$	−31.1447			−1.27042			−0.635210	−	0.772340i	$-0.719086\pi$
$601$	−31.1447			−1.27042			−0.635210	+	0.772340i	$0.719086\pi$
$602$	−11.1433	−	8.09606i	−0.454166	−	0.329971i
$603$	−2.73581	−	8.41995i	−0.111411	−	0.342887i
$604$	−0.362479	−	1.11560i	−0.0147491	−	0.0453930i
$605$	−15.1231	−	17.8241i	−0.614843	−	0.724653i
$606$	−6.82021	+	20.9904i	−0.277052	+	0.852679i
$607$	1.55027			0.0629237			0.0314619	−	0.999505i	$-0.489984\pi$
$607$	1.55027			0.0629237			0.0314619	+	0.999505i	$0.489984\pi$
$608$	0.433390	−	1.33384i	0.0175763	−	0.0540943i
$609$	−2.63100	+	1.91153i	−0.106614	+	0.0774593i
$610$	−13.1452	−	15.4929i	−0.532235	−	0.627291i
$611$	0.0151211	+	0.0109861i	0.000611733	+	0.000444450i
$612$	0.241355	−	0.175354i	0.00975619	−	0.00708828i
$613$	−6.83698	+	4.96736i	−0.276143	+	0.200630i	−0.717233	−	0.696833i	$-0.754592\pi$
$613$	−6.83698	+	4.96736i	−0.276143	+	0.200630i	0.441090	+	0.897463i	$0.354592\pi$
$614$	30.9820	+	22.5097i	1.25033	+	0.908419i
$615$	−1.21863	−	0.296768i	−0.0491401	−	0.0119668i
$616$	1.65660	−	1.20359i	0.0667463	−	0.0484940i
$617$	1.70476	−	5.24670i	0.0686309	−	0.211224i	−0.910859	−	0.412718i	$-0.864580\pi$
$617$	1.70476	−	5.24670i	0.0686309	−	0.211224i	0.979490	+	0.201494i	$0.0645795\pi$
$618$	9.61731			0.386865
$619$	3.36155	−	10.3458i	0.135112	−	0.415833i	−0.860495	−	0.509459i	$-0.829846\pi$
$619$	3.36155	−	10.3458i	0.135112	−	0.415833i	0.995607	+	0.0936258i	$0.0298457\pi$
$620$	−1.12251	+	0.460684i	−0.0450811	+	0.0185015i
$621$	0.385649	+	1.18690i	0.0154756	+	0.0476288i
$622$	5.51824	+	16.9834i	0.221261	+	0.680972i
$623$	−2.49833	−	1.81514i	−0.100093	−	0.0727220i
$624$	0.0232780			0.000931865
$625$	0.325547	−	24.9979i	0.0130219	−	0.999915i
$626$	−22.2461			−0.889133
$627$	1.90218	+	1.38202i	0.0759659	+	0.0551925i
$628$	0.316127	+	0.972940i	0.0126149	+	0.0388245i
$629$	−8.80472	−	27.0981i	−0.351067	−	1.08047i
$630$	−2.98197	+	1.22381i	−0.118805	+	0.0487579i
$631$	−9.65583	+	29.7176i	−0.384392	+	1.18304i	0.552528	+	0.833495i	$0.313663\pi$
$631$	−9.65583	+	29.7176i	−0.384392	+	1.18304i	−0.936920	+	0.349544i	$0.886337\pi$
$632$	−47.0921			−1.87322
$633$	1.40055	−	4.31046i	0.0556670	−	0.171325i
$634$	27.4178	−	19.9202i	1.08890	−	0.791133i
$635$	18.4185	+	4.48537i	0.730918	+	0.177997i
$636$	0.318327	+	0.231278i	0.0126225	+	0.00917078i
$637$	0.00453804	−	0.00329708i	0.000179804	−	0.000130635i
$638$	−2.80299	+	2.03649i	−0.110971	+	0.0806255i
$639$	5.30160	+	3.85184i	0.209728	+	0.152376i
$640$	−17.2585	−	20.3408i	−0.682203	−	0.804042i
$641$	−17.2881	+	12.5605i	−0.682838	+	0.496111i	−0.874298	−	0.485390i	$-0.838678\pi$
$641$	−17.2881	+	12.5605i	−0.682838	+	0.496111i	0.191460	+	0.981500i	$0.438678\pi$
$642$	4.47082	−	13.7598i	0.176449	−	0.543054i
$643$	−34.9037			−1.37647			−0.688233	−	0.725490i	$-0.741613\pi$
$643$	−34.9037			−1.37647			−0.688233	+	0.725490i	$0.741613\pi$
$644$	0.0300707	−	0.0925481i	0.00118495	−	0.00364691i
$645$	−13.8230	−	16.2918i	−0.544281	−	0.641489i
$646$	5.42205	+	16.6873i	0.213328	+	0.656555i
$647$	−1.10836	−	3.41117i	−0.0435740	−	0.134107i	0.926903	−	0.375301i	$-0.122461\pi$
$647$	−1.10836	−	3.41117i	−0.0435740	−	0.134107i	−0.970477	+	0.241195i	$0.922461\pi$
$648$	−2.24149	−	1.62854i	−0.0880541	−	0.0639750i
$649$	3.97242			0.155931
$650$	0.0287737	−	0.0284014i	0.00112860	−	0.00111399i
$651$	−6.95914			−0.272750
$652$	−1.24398	−	0.903803i	−0.0487180	−	0.0353957i
$653$	−11.1319	−	34.2604i	−0.435624	−	1.34071i	−0.892446	−	0.451154i	$-0.851012\pi$
$653$	−11.1319	−	34.2604i	−0.435624	−	1.34071i	0.456822	−	0.889558i	$-0.348988\pi$
$654$	−5.81204	−	17.8876i	−0.227269	−	0.699461i
$655$	1.20844	+	16.0213i	0.0472175	+	0.626005i
$656$	−0.719309	+	2.21381i	−0.0280843	+	0.0864346i
$657$	−8.08209			−0.315312
$658$	−1.48428	+	4.56815i	−0.0578633	+	0.178085i
$659$	39.9555	−	29.0294i	1.55645	−	1.13082i	0.617598	−	0.786494i	$-0.288106\pi$
$659$	39.9555	−	29.0294i	1.55645	−	1.13082i	0.938848	−	0.344331i	$-0.111894\pi$
$660$	−0.119211	+	0.0489246i	−0.00464027	+	0.00190439i
$661$	37.4257	+	27.1914i	1.45569	+	1.05762i	0.984460	+	0.175611i	$0.0561901\pi$
$661$	37.4257	+	27.1914i	1.45569	+	1.05762i	0.471231	+	0.882010i	$0.343810\pi$
$662$	39.5610	−	28.7428i	1.53758	−	1.11712i
$663$	−0.0173626	+	0.0126147i	−0.000674307	+	0.000489913i
$664$	−25.2906	−	18.3747i	−0.981466	−	0.713076i
$665$	−0.535049	−	7.09362i	−0.0207483	−	0.275079i
$666$	8.68489	−	6.30994i	0.336533	−	0.244505i
$667$	1.25417	−	3.85993i	0.0485615	−	0.149457i
$668$	−0.284040			−0.0109898
$669$	−4.68037	+	14.4047i	−0.180953	+	0.556917i
$670$	−14.9897	+	24.2831i	−0.579102	+	0.938139i
$671$	−1.43960	−	4.43064i	−0.0555752	−	0.171043i
$672$	0.136227	+	0.419265i	0.00525509	+	0.0161735i
$673$	−2.44278	−	1.77478i	−0.0941621	−	0.0684128i	0.539708	−	0.841852i	$-0.318535\pi$
$673$	−2.44278	−	1.77478i	−0.0941621	−	0.0684128i	−0.633870	+	0.773440i	$0.718535\pi$
$674$	14.6154			0.562963
$675$	−4.94343	+	0.750001i	−0.190273	+	0.0288676i
$676$	−1.01366			−0.0389871
$677$	27.6905	+	20.1183i	1.06423	+	0.773210i	0.974867	−	0.222789i	$-0.0715161\pi$
$677$	27.6905	+	20.1183i	1.06423	+	0.773210i	0.0893655	+	0.995999i	$0.471516\pi$
$678$	3.64617	+	11.2218i	0.140030	+	0.430969i
$679$	5.21285	+	16.0435i	0.200051	+	0.615693i
$680$	23.0303	+	5.60845i	0.883173	+	0.215074i
$681$	5.65838	−	17.4147i	0.216830	−	0.667333i
$682$	−7.41406			−0.283899
$683$	0.131229	−	0.403882i	0.00502135	−	0.0154541i	−0.948514	−	0.316734i	$-0.897414\pi$
$683$	0.131229	−	0.403882i	0.00502135	−	0.0154541i	0.953536	+	0.301280i	$0.0974138\pi$
$684$	−0.200689	+	0.145809i	−0.00767354	+	0.00557515i
$685$	0.200252	−	0.324406i	0.00765123	−	0.0123949i
$686$	1.16621	+	0.847303i	0.0445262	+	0.0323502i
$687$	8.27317	−	6.01081i	0.315641	−	0.229327i
$688$	−32.0794	+	23.3071i	−1.22302	+	0.888574i
$689$	−0.0228999	−	0.0166377i	−0.000872415	−	0.000633847i
$690$	2.11300	−	3.42303i	0.0804404	−	0.130313i
$691$	10.0310	−	7.28792i	0.381596	−	0.277245i	−0.380407	−	0.924819i	$-0.624216\pi$
$691$	10.0310	−	7.28792i	0.381596	−	0.277245i	0.762003	+	0.647574i	$0.224216\pi$
$692$	−0.298433	+	0.918483i	−0.0113447	+	0.0349155i
$693$	−0.739061			−0.0280746
$694$	−12.8114	+	39.4293i	−0.486313	+	1.49672i
$695$	−0.106789	−	0.0260058i	−0.00405075	−	0.000986457i
$696$	2.78436	+	8.56937i	0.105541	+	0.324821i
$697$	−0.663174	−	2.04104i	−0.0251195	−	0.0773099i
$698$	19.5143	+	14.1780i	0.738628	+	0.536645i
$699$	11.9515			0.452047
$700$	0.346218	+	0.179256i	0.0130858	+	0.00677524i
$701$	−2.06211			−0.0778850			−0.0389425	−	0.999241i	$-0.512399\pi$
$701$	−2.06211			−0.0778850			−0.0389425	+	0.999241i	$0.512399\pi$
$702$	−0.00654167	−	0.00475280i	−0.000246899	−	0.000179383i
$703$	7.32122	+	22.5324i	0.276125	+	0.849826i
$704$	−1.75038	−	5.38712i	−0.0659700	−	0.203035i
$705$	−3.91366	+	6.34008i	−0.147397	+	0.238781i
$706$	−12.2831	+	37.8036i	−0.462281	+	1.42276i
$707$	15.3107			0.575818
$708$	−0.129512	+	0.398596i	−0.00486734	+	0.0149801i
$709$	−15.2875	+	11.1070i	−0.574134	+	0.417133i	−0.836604	−	0.547807i	$-0.815463\pi$
$709$	−15.2875	+	11.1070i	−0.574134	+	0.417133i	0.262471	+	0.964940i	$0.415463\pi$
$710$	−1.58872	−	21.0631i	−0.0596237	−	0.790485i
$711$	13.7508	+	9.99051i	0.515694	+	0.374673i
$712$	−6.92195	+	5.02909i	−0.259411	+	0.188473i
$713$	7.02624	−	5.10486i	0.263135	−	0.191178i
$714$	−4.46194	−	3.24179i	−0.166984	−	0.121321i
$715$	0.00857580	−	0.00351955i	0.000320717	−	0.000131624i
$716$	1.03556	−	0.752376i	0.0387006	−	0.0281176i
$717$	−7.73294	+	23.7996i	−0.288792	+	0.888811i
$718$	30.1133			1.12382
$719$	9.40293	−	28.9392i	0.350670	−	1.07925i	−0.607808	−	0.794084i	$-0.707951\pi$
$719$	9.40293	−	28.9392i	0.350670	−	1.07925i	0.958478	−	0.285167i	$-0.0920491\pi$
$720$	0.697932	+	9.25310i	0.0260104	+	0.344843i
$721$	−2.06166	−	6.34512i	−0.0767800	−	0.236305i
$722$	3.95512	+	12.1726i	0.147194	+	0.453018i
$723$	3.21158	+	2.33335i	0.119440	+	0.0867781i
$724$	−0.877596			−0.0326156
$725$	14.4398	+	7.47628i	0.536282	+	0.277662i
$726$	15.0693			0.559275
$727$	37.1312	+	26.9774i	1.37712	+	1.00054i	0.997143	+	0.0755386i	$0.0240676\pi$
$727$	37.1312	+	26.9774i	1.37712	+	1.00054i	0.379976	+	0.924997i	$0.375932\pi$
$728$	−0.00480256	−	0.0147807i	−0.000177995	−	0.000547811i
$729$	0.309017	+	0.951057i	0.0114451	+	0.0352243i
$730$	16.8544	+	19.8645i	0.623808	+	0.735219i
$731$	11.2970	−	34.7686i	0.417835	−	1.28596i
$732$	0.491509			0.0181667
$733$	−9.66281	+	29.7391i	−0.356904	+	1.09844i	0.597993	+	0.801501i	$0.295965\pi$
$733$	−9.66281	+	29.7391i	−0.356904	+	1.09844i	−0.954897	+	0.296937i	$0.904035\pi$
$734$	10.7567	−	7.81523i	0.397039	−	0.288465i
$735$	1.44667	+	1.70504i	0.0533611	+	0.0628913i
$736$	−0.445092	−	0.323378i	−0.0164063	−	0.0119199i
$737$	−5.29348	+	3.84594i	−0.194988	+	0.141667i
$738$	0.654149	−	0.475267i	0.0240795	−	0.0174948i
$739$	18.7856	+	13.6485i	0.691038	+	0.502068i	0.877001	−	0.480488i	$-0.159541\pi$
$739$	18.7856	+	13.6485i	0.691038	+	0.502068i	−0.185963	+	0.982557i	$0.559541\pi$
$740$	−1.26158	−	0.307225i	−0.0463764	−	0.0112938i
$741$	0.0144372	−	0.0104892i	0.000530364	−	0.000385332i
$742$	2.24785	−	6.91816i	0.0825211	−	0.253974i
$743$	−44.0945			−1.61767			−0.808835	−	0.588035i	$-0.799902\pi$
$743$	−44.0945			−1.61767			−0.808835	+	0.588035i	$0.799902\pi$
$744$	−5.95823	+	18.3375i	−0.218439	+	0.672287i
$745$	28.4477	−	11.6751i	1.04224	−	0.427742i
$746$	−2.39053	−	7.35730i	−0.0875236	−	0.269370i
$747$	3.48662	+	10.7307i	0.127569	+	0.392616i
$748$	−0.178376	−	0.129598i	−0.00652207	−	0.00473856i
$749$	−10.0365			−0.366727
$750$	12.1524	+	10.5861i	0.443743	+	0.386551i
$751$	50.3099			1.83583			0.917916	−	0.396774i	$-0.129870\pi$
$751$	50.3099			1.83583			0.917916	+	0.396774i	$0.129870\pi$
$752$	11.1868	+	8.12769i	0.407941	+	0.296386i
$753$	−4.72663	−	14.5471i	−0.172248	−	0.530124i
$754$	0.00812600	+	0.0250092i	0.000295931	+	0.000910783i
$755$	−31.1195	+	12.7716i	−1.13255	+	0.464805i
$756$	0.0240954	−	0.0741580i	0.000876341	−	0.00269710i
$757$	7.86227			0.285759			0.142880	−	0.989740i	$-0.454364\pi$
$757$	7.86227			0.285759			0.142880	+	0.989740i	$0.454364\pi$
$758$	3.25715	−	10.0245i	0.118305	−	0.364105i
$759$	0.746187	−	0.542137i	0.0270849	−	0.0196783i
$760$	−19.1500	−	4.66349i	−0.694643	−	0.169163i
$761$	21.0621	+	15.3025i	0.763499	+	0.554714i	0.899982	−	0.435928i	$-0.143580\pi$
$761$	21.0621	+	15.3025i	0.763499	+	0.554714i	−0.136483	+	0.990642i	$0.543580\pi$
$762$	−9.88686	+	7.18323i	−0.358163	+	0.260221i
$763$	−10.5556	+	7.66911i	−0.382139	+	0.277640i
$764$	0.332405	+	0.241507i	0.0120260	+	0.00873740i
$765$	−5.53496	−	6.52350i	−0.200117	−	0.235858i
$766$	−24.8192	+	18.0322i	−0.896754	+	0.651530i
$767$	0.00931682	−	0.0286742i	0.000336411	−	0.00103537i
$768$	1.86858			0.0674265
$769$	−4.24410	+	13.0620i	−0.153046	+	0.471028i	−0.997958	−	0.0638784i	$-0.979653\pi$
$769$	−4.24410	+	13.0620i	−0.153046	+	0.471028i	0.844912	+	0.534906i	$0.179653\pi$
$770$	1.54124	+	1.81650i	0.0555423	+	0.0654620i
$771$	0.158021	+	0.486340i	0.00569100	+	0.0175151i
$772$	−0.191905	−	0.590622i	−0.00690680	−	0.0212569i
$773$	36.4886	+	26.5105i	1.31240	+	0.953517i	0.999994	+	0.00356986i	$0.00113632\pi$
$773$	36.4886	+	26.5105i	1.31240	+	0.953517i	0.312410	+	0.949947i	$0.398864\pi$
$774$	13.7738			0.495090
$775$	15.5947	+	31.1054i	0.560179	+	1.11734i
$776$	46.7382			1.67780
$777$	−6.02482	−	4.37729i	−0.216139	−	0.157034i
$778$	6.59534	+	20.2984i	0.236454	+	0.727732i
$779$	0.551437	+	1.69715i	0.0197573	+	0.0608066i
$780$	7.35599e−5	0	0.000975249i	2.63387e−6	0	3.49195e-5i
$781$	1.49662	−	4.60613i	0.0535534	−	0.164820i
$782$	6.88297			0.246135
$783$	1.00495	−	3.09293i	0.0359141	−	0.110532i
$784$	3.35731	−	2.43923i	0.119904	−	0.0871154i
$785$	27.1401	−	11.1384i	0.968671	−	0.397547i
$786$	−8.37959	−	6.08813i	−0.298890	−	0.217156i
$787$	−19.0117	+	13.8128i	−0.677694	+	0.492373i	−0.872592	−	0.488450i	$-0.837562\pi$
$787$	−19.0117	+	13.8128i	−0.677694	+	0.492373i	0.194898	+	0.980824i	$0.437562\pi$
$788$	−1.02470	+	0.744486i	−0.0365033	+	0.0265212i
$789$	15.2886	+	11.1078i	0.544287	+	0.395448i
$790$	−4.12067	−	54.6314i	−0.146607	−	1.94370i
$791$	6.62205	−	4.81120i	0.235453	−	0.171067i
$792$	−0.632764	+	1.94745i	−0.0224843	+	0.0691996i
$793$	−0.0353582			−0.00125561
$794$	12.9940	−	39.9915i	0.461141	−	1.41924i
$795$	5.92698	−	9.60164i	0.210208	−	0.340535i
$796$	−0.141886	−	0.436680i	−0.00502901	−	0.0154777i
$797$	−0.796073	−	2.45006i	−0.0281984	−	0.0867857i	0.935967	−	0.352088i	$-0.114528\pi$
$797$	−0.796073	−	2.45006i	−0.0281984	−	0.0867857i	−0.964165	+	0.265302i	$0.914528\pi$
$798$	3.71016	+	2.69559i	0.131338	+	0.0954227i
$799$	−12.7485			−0.451011
$800$	1.56872	−	1.54843i	0.0554628	−	0.0547452i
$801$	3.08810			0.109113
$802$	27.1764	+	19.7448i	0.959632	+	0.697213i
$803$	1.84581	+	5.68082i	0.0651372	+	0.200472i
$804$	−0.213323	−	0.656540i	−0.00752332	−	0.0231544i
$805$	−2.71134	−	0.660279i	−0.0955622	−	0.0232718i
$806$	−0.0173888	+	0.0535171i	−0.000612493	+	0.00188506i
$807$	−6.27337			−0.220833
$808$	13.1086	−	40.3442i	0.461160	−	1.41930i
$809$	20.0302	−	14.5528i	0.704226	−	0.511650i	−0.177080	−	0.984196i	$-0.556665\pi$
$809$	20.0302	−	14.5528i	0.704226	−	0.511650i	0.881306	+	0.472546i	$0.156665\pi$
$810$	1.69313	−	2.74285i	0.0594903	−	0.0963738i
$811$	2.94993	+	2.14325i	0.103586	+	0.0752597i	0.638373	−	0.769728i	$-0.279608\pi$
$811$	2.94993	+	2.14325i	0.103586	+	0.0752597i	−0.534786	+	0.844987i	$0.679608\pi$
$812$	−0.205151	+	0.149051i	−0.00719938	+	0.00523065i
$813$	11.8109	−	8.58110i	0.414225	−	0.300952i
$814$	−6.41867	−	4.66344i	−0.224974	−	0.163453i
$815$	−23.1618	+	37.5219i	−0.811323	+	1.31433i
$816$	−12.8451	+	9.33253i	−0.449669	+	0.326704i
$817$	−9.39359	+	28.9105i	−0.328640	+	1.01145i
$818$	50.7151			1.77321
$819$	−0.00173338	+	0.00533479i	−6.05691e−5	+	0.000186413i
$820$	−0.0950222	−	0.0231403i	−0.00331832	−	0.000808093i
$821$	1.73795	+	5.34887i	0.0606550	+	0.186677i	0.976793	−	0.214187i	$-0.0687101\pi$
$821$	1.73795	+	5.34887i	0.0606550	+	0.186677i	−0.916138	+	0.400864i	$0.868710\pi$
$822$	0.0759469	+	0.233740i	0.00264895	+	0.00815264i
$823$	41.2025	+	29.9354i	1.43623	+	1.04348i	0.988814	+	0.149154i	$0.0476549\pi$
$823$	41.2025	+	29.9354i	1.43623	+	1.04348i	0.447414	+	0.894327i	$0.352345\pi$
$824$	−18.4847			−0.643946
$825$	1.65616	+	3.30340i	0.0576601	+	0.115009i
$826$	7.74809			0.269590
$827$	−34.4886	−	25.0574i	−1.19929	−	0.871332i	−0.205072	−	0.978747i	$-0.565743\pi$
$827$	−34.4886	−	25.0574i	−1.19929	−	0.871332i	−0.994214	+	0.107415i	$0.965743\pi$
$828$	0.0300707	+	0.0925481i	0.00104503	+	0.00321627i
$829$	3.92601	+	12.0830i	0.136356	+	0.419661i	0.995798	−	0.0915717i	$-0.0291891\pi$
$829$	3.92601	+	12.0830i	0.136356	+	0.419661i	−0.859442	+	0.511233i	$0.829189\pi$
$830$	19.1034	−	30.9474i	0.663090	−	1.07420i
$831$	−1.55290	+	4.77934i	−0.0538695	+	0.165793i
$832$	−0.0429913			−0.00149046
$833$	−1.18230	+	3.63875i	−0.0409644	+	0.126075i
$834$	0.0573233	−	0.0416478i	0.00198494	−	0.00144214i
$835$	0.612641	+	8.12232i	0.0212013	+	0.281085i
$836$	0.148322	+	0.107762i	0.00512981	+	0.00372703i
$837$	5.63006	−	4.09048i	0.194603	−	0.141388i
$838$	32.5182	−	23.6259i	1.12332	−	0.816142i
$839$	−18.7702	−	13.6373i	−0.648018	−	0.470812i	0.214578	−	0.976707i	$-0.431163\pi$
$839$	−18.7702	−	13.6373i	−0.648018	−	0.470812i	−0.862595	+	0.505894i	$0.831163\pi$
$840$	5.73142	−	2.35220i	0.197753	−	0.0811587i
$841$	14.9052	−	10.8293i	0.513973	−	0.373423i
$842$	13.6986	−	42.1600i	0.472085	−	1.45293i
$843$	−7.76536			−0.267453
$844$	0.109207	−	0.336105i	0.00375907	−	0.0115692i
$845$	2.18636	+	28.9865i	0.0752130	+	0.997165i
$846$	−1.48428	−	4.56815i	−0.0510307	−	0.157056i
$847$	−3.23040	−	9.94214i	−0.110998	−	0.341616i
$848$	−16.9417	−	12.3088i	−0.581780	−	0.422688i
$849$	−28.8332			−0.989554
$850$	−4.49114	+	27.2082i	−0.154045	+	0.933232i
$851$	9.29386			0.318590
$852$	0.413389	+	0.300345i	0.0141625	+	0.0102896i
$853$	−15.6549	−	48.1808i	−0.536013	−	1.64968i	−0.741450	−	0.671008i	$-0.765862\pi$
$853$	−15.6549	−	48.1808i	−0.536013	−	1.64968i	0.205438	−	0.978670i	$-0.434138\pi$
$854$	−2.80790	−	8.64183i	−0.0960844	−	0.295718i
$855$	4.60239	+	5.42436i	0.157398	+	0.185509i
$856$	−8.59302	+	26.4466i	−0.293703	+	0.903926i
$857$	27.6650			0.945020			0.472510	−	0.881325i	$-0.343348\pi$
$857$	27.6650			0.945020			0.472510	+	0.881325i	$0.343348\pi$
$858$	−0.00184669	+	0.00568352i	−6.30449e−5	+	0.000194032i
$859$	11.2972	−	8.20787i	0.385454	−	0.280049i	−0.378136	−	0.925750i	$-0.623435\pi$
$859$	11.2972	−	8.20787i	0.385454	−	0.280049i	0.763590	+	0.645701i	$0.223435\pi$
$860$	−1.07784	−	1.27034i	−0.0367541	−	0.0433183i
$861$	−0.453792	−	0.329699i	−0.0154652	−	0.0112361i
$862$	−7.70929	+	5.60113i	−0.262580	+	0.190775i
$863$	−21.5846	+	15.6821i	−0.734747	+	0.533825i	−0.891062	−	0.453882i	$-0.850039\pi$
$863$	−21.5846	+	15.6821i	−0.734747	+	0.533825i	0.156315	+	0.987707i	$0.450039\pi$
$864$	−0.356648	−	0.259120i	−0.0121334	−	0.00881544i
$865$	26.9084	+	6.55286i	0.914913	+	0.222804i
$866$	7.64773	−	5.55640i	0.259881	−	0.188814i
$867$	−0.729784	+	2.24604i	−0.0247848	+	0.0762796i
$868$	−0.542634			−0.0184182
$869$	3.88179	−	11.9469i	0.131681	−	0.405271i
$870$	−9.69766	+	3.97996i	−0.328781	+	0.134933i
$871$	0.0153460	+	0.0472303i	0.000519981	+	0.00160034i
$872$	11.1709	+	34.3805i	0.378294	+	1.16427i
$873$	−13.6474	−	9.91542i	−0.461895	−	0.335586i
$874$	−5.72327			−0.193592
$875$	4.37921	−	10.2870i	0.148044	−	0.347764i
$876$	−0.630196			−0.0212924
$877$	10.3435	+	7.51501i	0.349276	+	0.253764i	0.748565	−	0.663061i	$-0.230743\pi$
$877$	10.3435	+	7.51501i	0.349276	+	0.253764i	−0.399289	+	0.916825i	$0.630743\pi$
$878$	−5.16663	−	15.9012i	−0.174365	−	0.536641i
$879$	5.68864	+	17.5078i	0.191873	+	0.590525i
$880$	6.34451	−	2.60382i	0.213873	−	0.0877746i
$881$	−17.3198	+	53.3050i	−0.583520	+	1.79589i	0.0216140	+	0.999766i	$0.493120\pi$
$881$	−17.3198	+	53.3050i	−0.583520	+	1.79589i	−0.605134	+	0.796124i	$0.706880\pi$
$882$	−1.44152			−0.0485384
$883$	2.11789	−	6.51820i	0.0712727	−	0.219355i	−0.909075	−	0.416633i	$-0.863210\pi$
$883$	2.11789	−	6.51820i	0.0712727	−	0.219355i	0.980348	+	0.197278i	$0.0632101\pi$
$884$	−0.00135384		0.000983621i	−4.55345e−5		3.30827e-5i
$885$	11.6775	+	2.84375i	0.392534	+	0.0955917i
$886$	11.0882	+	8.05605i	0.372515	+	0.270648i
$887$	25.4154	−	18.4654i	0.853365	−	0.620006i	−0.0727067	−	0.997353i	$-0.523164\pi$
$887$	25.4154	−	18.4654i	0.853365	−	0.620006i	0.926072	+	0.377347i	$0.123164\pi$
$888$	−16.6926	+	12.1279i	−0.560167	+	0.406985i
$889$	6.85865	+	4.98310i	0.230032	+	0.167128i
$890$	−6.43991	−	7.59007i	−0.215866	−	0.254420i
$891$	0.597913	−	0.434409i	0.0200308	−	0.0145533i
$892$	−0.364949	+	1.12320i	−0.0122194	+	0.0376074i
$893$	10.6006			0.354734
$894$	−6.12586	+	18.8535i	−0.204879	+	0.630554i
$895$	−23.7483	−	27.9897i	−0.793819	−	0.935594i
$896$	−3.68653	−	11.3460i	−0.123158	−	0.379042i
$897$	−0.00216323	−	0.00665774i	−7.22281e−5	−	0.000222295i
$898$	−15.5424	−	11.2922i	−0.518656	−	0.376826i
$899$	−22.6318			−0.754812
$900$	−0.385461	+	0.0584809i	−0.0128487	+	0.00194936i
$901$	19.3068			0.643203
$902$	−0.483456	−	0.351251i	−0.0160973	−	0.0116954i
$903$	−2.95269	−	9.08743i	−0.0982592	−	0.302411i
$904$	−7.00804	−	21.5685i	−0.233084	−	0.717358i
$905$	1.89287	+	25.0955i	0.0629213	+	0.834203i
$906$	6.70118	−	20.6241i	0.222632	−	0.685191i
$907$	−21.5288			−0.714852			−0.357426	−	0.933941i	$-0.616346\pi$
$907$	−21.5288			−0.714852			−0.357426	+	0.933941i	$0.616346\pi$
$908$	0.441208	−	1.35790i	0.0146420	−	0.0450635i
$909$	−12.3866	+	8.99941i	−0.410838	+	0.298492i
$910$	0.0167268	−	0.00686478i	0.000554490	−	0.000227565i
$911$	−7.91841	−	5.75306i	−0.262348	−	0.190607i	0.448833	−	0.893616i	$-0.351840\pi$
$911$	−7.91841	−	5.75306i	−0.262348	−	0.190607i	−0.711182	+	0.703008i	$0.751840\pi$
$912$	10.6809	−	7.76010i	0.353679	−	0.256963i
$913$	6.74622	−	4.90141i	0.223267	−	0.162213i
$914$	8.92320	+	6.48308i	0.295153	+	0.214441i
$915$	−1.06013	−	14.0551i	−0.0350468	−	0.464646i
$916$	0.645095	−	0.468689i	0.0213145	−	0.0154859i
$917$	−2.22038	+	6.83363i	−0.0733234	+	0.225666i
$918$	5.51527			0.182031
$919$	−12.4700	+	38.3787i	−0.411347	+	1.26600i	0.504131	+	0.863627i	$0.331813\pi$
$919$	−12.4700	+	38.3787i	−0.411347	+	1.26600i	−0.915478	+	0.402368i	$0.868187\pi$
$920$	−4.06123	+	6.57915i	−0.133895	+	0.216908i
$921$	8.20945	+	25.2661i	0.270511	+	0.832546i
$922$	−12.4449	−	38.3014i	−0.409851	−	1.26139i
$923$	−0.0297384	−	0.0216062i	−0.000978852	−	0.000711178i
$924$	−0.0576278			−0.00189582
$925$	−6.06424	+	36.7383i	−0.199391	+	1.20795i
$926$	−31.9677			−1.05053
$927$	5.39748	+	3.92150i	0.177277	+	0.128799i
$928$	0.443025	+	1.36349i	0.0145430	+	0.0447588i
$929$	9.99122	+	30.7498i	0.327801	+	1.00887i	0.970160	+	0.242465i	$0.0779558\pi$
$929$	9.99122	+	30.7498i	0.327801	+	1.00887i	−0.642359	+	0.766404i	$0.722044\pi$
$930$	−21.7947	−	5.30754i	−0.714675	−	0.174041i
$931$	0.983098	−	3.02567i	0.0322197	−	0.0991622i
$932$	0.931911			0.0305257
$933$	−3.82808	+	11.7816i	−0.125326	+	0.385713i
$934$	13.8779	−	10.0829i	0.454100	−	0.329923i
$935$	−3.32121	+	5.38032i	−0.108615	+	0.175955i
$936$	0.0125733	+	0.00913500i	0.000410970	+	0.000298587i
$937$	12.0227	−	8.73501i	0.392765	−	0.285360i	−0.373823	−	0.927500i	$-0.621953\pi$
$937$	12.0227	−	8.73501i	0.392765	−	0.285360i	0.766588	+	0.642140i	$0.221953\pi$
$938$	−10.3248	+	7.50140i	−0.337116	+	0.244929i
$939$	−12.4851	−	9.07094i	−0.407435	−	0.296019i
$940$	−0.305165	+	0.494364i	−0.00995338	+	0.0161244i
$941$	15.0981	−	10.9694i	0.492185	−	0.357594i	−0.313839	−	0.949476i	$-0.601615\pi$
$941$	15.0981	−	10.9694i	0.492185	−	0.357594i	0.806024	+	0.591883i	$0.201615\pi$
$942$	−5.84427	+	17.9868i	−0.190417	+	0.586042i
$943$	0.700017			0.0227957
$944$	6.89273	−	21.2136i	0.224339	−	0.690445i
$945$	−2.17257	−	0.529075i	−0.0706738	−	0.0172108i
$946$	−3.14570	−	9.68148i	−0.102276	−	0.314772i
$947$	−13.3320	−	41.0316i	−0.433231	−	1.33335i	−0.894889	−	0.446289i	$-0.852745\pi$
$947$	−13.3320	−	41.0316i	−0.433231	−	1.33335i	0.461658	−	0.887058i	$-0.347255\pi$
$948$	1.07221	+	0.779004i	0.0348236	+	0.0253009i
$949$	0.0453351			0.00147164
$950$	3.73443	−	22.6239i	0.121161	−	0.734016i
$951$	23.5101			0.762369
$952$	8.57597	+	6.23081i	0.277949	+	0.201942i
$953$	13.6583	+	42.0360i	0.442436	+	1.36168i	0.885271	+	0.465076i	$0.153973\pi$
$953$	13.6583	+	42.0360i	0.442436	+	1.36168i	−0.442834	+	0.896603i	$0.646027\pi$
$954$	2.24785	+	6.91816i	0.0727768	+	0.223984i
$955$	6.18910	−	10.0263i	0.200275	−	0.324443i
$956$	−0.602971	+	1.85575i	−0.0195015	+	0.0600194i
$957$	−2.40350			−0.0776941
$958$	12.1320	−	37.3384i	0.391966	−	1.20635i
$959$	0.137932	−	0.100213i	0.00445406	−	0.00323606i
$960$	−1.28899	−	17.0893i	−0.0416019	−	0.551553i
$961$	−14.1009	−	10.2449i	−0.454866	−	0.330480i
$962$	−0.0487164	+	0.0353945i	−0.00157068	+	0.00114117i
$963$	8.11974	−	5.89933i	0.261655	−	0.190103i
$964$	0.250421	+	0.181941i	0.00806551	+	0.00585993i
$965$	−16.4753	+	6.76156i	−0.530360	+	0.217662i
$966$	1.45542	−	1.05742i	0.0468273	−	0.0340220i
$967$	3.05752	−	9.41009i	0.0983234	−	0.302608i	−0.889782	−	0.456385i	$-0.849144\pi$
$967$	3.05752	−	9.41009i	0.0983234	−	0.302608i	0.988106	+	0.153777i	$0.0491438\pi$
$968$	−28.9636			−0.930926
$969$	−3.76135	+	11.5762i	−0.120832	+	0.371882i
$970$	4.08970	+	54.2208i	0.131312	+	1.74092i
$971$	−15.6002	−	48.0125i	−0.500634	−	1.54079i	−0.807988	−	0.589199i	$-0.799444\pi$
$971$	−15.6002	−	48.0125i	−0.500634	−	1.54079i	0.307354	−	0.951595i	$-0.400556\pi$
$972$	0.0240954	+	0.0741580i	0.000772860	+	0.00237862i
$973$	−0.0397659	−	0.0288916i	−0.00127484	−	0.000926223i
$974$	−47.0770			−1.50844
$975$	0.0277293	−	0.00420700i	0.000888049	−	0.000134732i
$976$	−26.1586			−0.837315
$977$	−24.1428	−	17.5408i	−0.772398	−	0.561180i	0.130290	−	0.991476i	$-0.458409\pi$
$977$	−24.1428	−	17.5408i	−0.772398	−	0.561180i	−0.902688	+	0.430296i	$0.858409\pi$
$978$	−8.78428	−	27.0352i	−0.280890	−	0.864491i
$979$	−0.705268	−	2.17059i	−0.0225405	−	0.0693724i
$980$	0.112803	+	0.132949i	0.00360336	+	0.00424691i
$981$	4.03189	−	12.4089i	0.128728	−	0.396185i
$982$	−8.87163			−0.283105
$983$	0.823332	−	2.53395i	0.0262602	−	0.0808206i	−0.937068	−	0.349148i	$-0.886471\pi$
$983$	0.823332	−	2.53395i	0.0262602	−	0.0808206i	0.963328	+	0.268328i	$0.0864710\pi$
$984$	−1.25729	+	0.913475i	−0.0400810	+	0.0291205i
$985$	23.4993	+	27.6962i	0.748749	+	0.882474i
$986$	−14.5107	−	10.5426i	−0.462114	−	0.335745i
$987$	−2.69570	+	1.95854i	−0.0858051	+	0.0623410i
$988$	0.00112573		0.000817892i	3.58143e−5		2.60206e-5i
$989$	9.64722	+	7.00911i	0.306764	+	0.222877i
$990$	−2.31460	−	0.563661i	−0.0735627	−	0.0179143i
$991$	8.90493	−	6.46981i	0.282874	−	0.205520i	−0.437296	−	0.899318i	$-0.644064\pi$
$991$	8.90493	−	6.46981i	0.282874	−	0.205520i	0.720170	+	0.693797i	$0.244064\pi$
$992$	−0.948026	+	2.91772i	−0.0300999	+	0.0926378i
$993$	33.9226			1.07650
$994$	2.91912	−	8.98413i	0.0925889	−	0.284959i
$995$	−12.1812	+	4.99920i	−0.386169	+	0.158485i
$996$	0.271867	+	0.836720i	0.00861443	+	0.0265125i
$997$	−13.8477	−	42.6188i	−0.438561	−	1.34975i	−0.889393	−	0.457143i	$-0.848873\pi$
$997$	−13.8477	−	42.6188i	−0.438561	−	1.34975i	0.450832	−	0.892609i	$-0.351127\pi$
$998$	14.5238	+	10.5522i	0.459744	+	0.334024i
$999$	7.44709			0.235616

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.n.c.316.5	yes	24
25.11	even	5	inner	525.2.n.c.211.5	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.n.c.211.5	✓	24	25.11	even	5	inner
525.2.n.c.316.5	yes	24	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.16621 + 0.847303i) q^{2} +(0.309017 + 0.951057i) q^{3} +(0.0240954 + 0.0741580i) q^{4} +(2.06863 - 0.848976i) q^{5} +(-0.445454 + 1.37097i) q^{6} +1.00000 q^{7} +(0.856173 - 2.63503i) q^{8} +(-0.809017 + 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.16621 + 0.847303i) q^{2} +(0.309017 + 0.951057i) q^{3} +(0.0240954 + 0.0741580i) q^{4} +(2.06863 - 0.848976i) q^{5} +(-0.445454 + 1.37097i) q^{6} +1.00000 q^{7} +(0.856173 - 2.63503i) q^{8} +(-0.809017 + 0.587785i) q^{9} +(3.13181 + 0.762672i) q^{10} +(0.597913 + 0.434409i) q^{11} +(-0.0630826 + 0.0458322i) q^{12} +(0.00453804 - 0.00329708i) q^{13} +(1.16621 + 0.847303i) q^{14} +(1.44667 + 1.70504i) q^{15} +(3.35731 - 2.43923i) q^{16} +(-1.18230 + 3.63875i) q^{17} -1.44152 q^{18} +(0.983098 - 3.02567i) q^{19} +(0.112803 + 0.132949i) q^{20} +(0.309017 + 0.951057i) q^{21} +(0.329218 + 1.01323i) q^{22} +(-1.00964 - 0.733548i) q^{23} +2.77063 q^{24} +(3.55848 - 3.51244i) q^{25} +0.00808595 q^{26} +(-0.809017 - 0.587785i) q^{27} +(0.0240954 + 0.0741580i) q^{28} +(1.00495 + 3.09293i) q^{29} +(0.242437 + 3.21420i) q^{30} +(-2.15049 + 6.61853i) q^{31} +0.440841 q^{32} +(-0.228383 + 0.702889i) q^{33} +(-4.46194 + 3.24179i) q^{34} +(2.06863 - 0.848976i) q^{35} +(-0.0630826 - 0.0458322i) q^{36} +(-6.02482 + 4.37729i) q^{37} +(3.71016 - 2.69559i) q^{38} +(0.00453804 + 0.00329708i) q^{39} +(-0.465970 - 6.17778i) q^{40} +(-0.453792 + 0.329699i) q^{41} +(-0.445454 + 1.37097i) q^{42} -9.55509 q^{43} +(-0.0178080 + 0.0548073i) q^{44} +(-1.17454 + 1.90275i) q^{45} +(-0.555920 - 1.71094i) q^{46} +(1.02967 + 3.16899i) q^{47} +(3.35731 + 2.43923i) q^{48} +1.00000 q^{49} +(7.12604 - 1.08114i) q^{50} -3.82601 q^{51} +(0.000353851 + 0.000257088i) q^{52} +(-1.55936 - 4.79922i) q^{53} +(-0.445454 - 1.37097i) q^{54} +(1.60567 + 0.391019i) q^{55} +(0.856173 - 2.63503i) q^{56} +3.18137 q^{57} +(-1.44866 + 4.45851i) q^{58} +(4.34843 - 3.15932i) q^{59} +(-0.0915842 + 0.148366i) q^{60} +(-5.09961 - 3.70509i) q^{61} +(-8.11584 + 5.89650i) q^{62} +(-0.809017 + 0.587785i) q^{63} +(-6.20051 - 4.50494i) q^{64} +(0.00658840 - 0.0106731i) q^{65} +(-0.861903 + 0.626209i) q^{66} +(-2.73581 + 8.41995i) q^{67} -0.298331 q^{68} +(0.385649 - 1.18690i) q^{69} +(3.13181 + 0.762672i) q^{70} +(-2.02503 - 6.23241i) q^{71} +(0.856173 + 2.63503i) q^{72} +(6.53855 + 4.75054i) q^{73} -10.7351 q^{74} +(4.44016 + 2.29891i) q^{75} +0.248065 q^{76} +(0.597913 + 0.434409i) q^{77} +(0.00249869 + 0.00769019i) q^{78} +(-5.25232 - 16.1650i) q^{79} +(4.87420 - 7.89615i) q^{80} +(0.309017 - 0.951057i) q^{81} -0.808572 q^{82} +(3.48662 - 10.7307i) q^{83} +(-0.0630826 + 0.0458322i) q^{84} +(0.643465 + 8.53099i) q^{85} +(-11.1433 - 8.09606i) q^{86} +(-2.63100 + 1.91153i) q^{87} +(1.65660 - 1.20359i) q^{88} +(-2.49833 - 1.81514i) q^{89} +(-2.98197 + 1.22381i) q^{90} +(0.00453804 - 0.00329708i) q^{91} +(0.0300707 - 0.0925481i) q^{92} -6.95914 q^{93} +(-1.48428 + 4.56815i) q^{94} +(-0.535049 - 7.09362i) q^{95} +(0.136227 + 0.419265i) q^{96} +(5.21285 + 16.0435i) q^{97} +(1.16621 + 0.847303i) q^{98} -0.739061 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + q^{2} - 6 q^{3} - 9 q^{4} - q^{5} + q^{6} + 24 q^{7} + 9 q^{8} - 6 q^{9}+O(q^{10}) \) 24 * q + q^2 - 6 * q^3 - 9 * q^4 - q^5 + q^6 + 24 * q^7 + 9 * q^8 - 6 * q^9	\( 24 q + q^{2} - 6 q^{3} - 9 q^{4} - q^{5} + q^{6} + 24 q^{7} + 9 q^{8} - 6 q^{9} - 16 q^{10} + 2 q^{11} + q^{12} + 8 q^{13} + q^{14} - 6 q^{15} + 13 q^{16} + 12 q^{17} - 4 q^{18} + 19 q^{19} + 11 q^{20} - 6 q^{21} - 19 q^{22} - 6 q^{24} + 9 q^{25} - 14 q^{26} - 6 q^{27} - 9 q^{28} + 5 q^{29} - 6 q^{30} + 17 q^{31} - 26 q^{32} + 7 q^{33} - 7 q^{34} - q^{35} + q^{36} + 22 q^{37} - 16 q^{38} + 8 q^{39} + 3 q^{40} + 37 q^{41} + q^{42} + 8 q^{43} + 13 q^{44} + 4 q^{45} + 24 q^{46} - 24 q^{47} + 13 q^{48} + 24 q^{49} - 21 q^{50} - 8 q^{51} + 23 q^{52} - 24 q^{53} + q^{54} - 55 q^{55} + 9 q^{56} - 26 q^{57} + 8 q^{58} - 39 q^{60} + 24 q^{62} - 6 q^{63} - q^{64} - 34 q^{65} + 16 q^{66} + 34 q^{67} + 22 q^{68} + 10 q^{69} - 16 q^{70} - 24 q^{71} + 9 q^{72} + 46 q^{73} + 10 q^{74} + 24 q^{75} - 20 q^{76} + 2 q^{77} - 14 q^{78} + 10 q^{79} + 6 q^{80} - 6 q^{81} - 78 q^{82} + 42 q^{83} + q^{84} - 22 q^{85} - 96 q^{86} - 10 q^{87} - 39 q^{88} + 29 q^{89} + 14 q^{90} + 8 q^{91} + 42 q^{92} - 58 q^{93} + 54 q^{94} - 42 q^{95} + 9 q^{96} - 32 q^{97} + q^{98} - 18 q^{99}+O(q^{100}) \) 24 * q + q^2 - 6 * q^3 - 9 * q^4 - q^5 + q^6 + 24 * q^7 + 9 * q^8 - 6 * q^9 - 16 * q^10 + 2 * q^11 + q^12 + 8 * q^13 + q^14 - 6 * q^15 + 13 * q^16 + 12 * q^17 - 4 * q^18 + 19 * q^19 + 11 * q^20 - 6 * q^21 - 19 * q^22 - 6 * q^24 + 9 * q^25 - 14 * q^26 - 6 * q^27 - 9 * q^28 + 5 * q^29 - 6 * q^30 + 17 * q^31 - 26 * q^32 + 7 * q^33 - 7 * q^34 - q^35 + q^36 + 22 * q^37 - 16 * q^38 + 8 * q^39 + 3 * q^40 + 37 * q^41 + q^42 + 8 * q^43 + 13 * q^44 + 4 * q^45 + 24 * q^46 - 24 * q^47 + 13 * q^48 + 24 * q^49 - 21 * q^50 - 8 * q^51 + 23 * q^52 - 24 * q^53 + q^54 - 55 * q^55 + 9 * q^56 - 26 * q^57 + 8 * q^58 - 39 * q^60 + 24 * q^62 - 6 * q^63 - q^64 - 34 * q^65 + 16 * q^66 + 34 * q^67 + 22 * q^68 + 10 * q^69 - 16 * q^70 - 24 * q^71 + 9 * q^72 + 46 * q^73 + 10 * q^74 + 24 * q^75 - 20 * q^76 + 2 * q^77 - 14 * q^78 + 10 * q^79 + 6 * q^80 - 6 * q^81 - 78 * q^82 + 42 * q^83 + q^84 - 22 * q^85 - 96 * q^86 - 10 * q^87 - 39 * q^88 + 29 * q^89 + 14 * q^90 + 8 * q^91 + 42 * q^92 - 58 * q^93 + 54 * q^94 - 42 * q^95 + 9 * q^96 - 32 * q^97 + q^98 - 18 * q^99

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