LMFDB - Embedded newform 165.2.p.b.41.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [165,2,Mod(41,165)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(165, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 3]))

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

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

chi := DirichletCharacter("165.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 165 = 3 \cdot 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	165.p (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.31753163335$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			41.11
Character	$\chi$	$=$	165.41
Dual form			165.2.p.b.161.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.54632 - 1.12347i) q^{2} +(-0.613479 - 1.61977i) q^{3} +(0.510897 - 1.57238i) q^{4} +(0.587785 - 0.809017i) q^{5} +(-2.76839 - 1.81546i) q^{6} +(-0.0795268 - 0.0258398i) q^{7} +(0.204777 + 0.630238i) q^{8} +(-2.24729 + 1.98739i) q^{9} +O(q^{10})$	\(q+(1.54632 - 1.12347i) q^{2} +(-0.613479 - 1.61977i) q^{3} +(0.510897 - 1.57238i) q^{4} +(0.587785 - 0.809017i) q^{5} +(-2.76839 - 1.81546i) q^{6} +(-0.0795268 - 0.0258398i) q^{7} +(0.204777 + 0.630238i) q^{8} +(-2.24729 + 1.98739i) q^{9} -1.91136i q^{10} +(1.17679 + 3.10083i) q^{11} +(-2.86031 + 0.137088i) q^{12} +(-3.74138 - 5.14956i) q^{13} +(-0.152004 + 0.0493892i) q^{14} +(-1.67101 - 0.455760i) q^{15} +(3.69980 + 2.68806i) q^{16} +(4.03311 + 2.93023i) q^{17} +(-1.24227 + 5.59790i) q^{18} +(1.93598 - 0.629039i) q^{19} +(-0.971784 - 1.33755i) q^{20} +(0.00693353 + 0.144667i) q^{21} +(5.30339 + 3.47280i) q^{22} -1.16998i q^{23} +(0.895213 - 0.718328i) q^{24} +(-0.309017 - 0.951057i) q^{25} +(-11.5708 - 3.75957i) q^{26} +(4.59776 + 2.42086i) q^{27} +(-0.0812601 + 0.111845i) q^{28} +(-1.70752 + 5.25522i) q^{29} +(-3.09596 + 1.17258i) q^{30} +(-6.10313 + 4.43418i) q^{31} +7.41569 q^{32} +(4.30069 - 3.80842i) q^{33} +9.52851 q^{34} +(-0.0676496 + 0.0491503i) q^{35} +(1.97679 + 4.54894i) q^{36} +(1.18109 - 3.63502i) q^{37} +(2.28695 - 3.14772i) q^{38} +(-6.04584 + 9.21931i) q^{39} +(0.630238 + 0.204777i) q^{40} +(-1.74479 - 5.36991i) q^{41} +(0.173251 + 0.215912i) q^{42} +7.31086i q^{43} +(5.47691 - 0.266154i) q^{44} +(0.286906 + 2.98625i) q^{45} +(-1.31443 - 1.80916i) q^{46} +(-3.31816 + 1.07813i) q^{47} +(2.08428 - 7.64188i) q^{48} +(-5.65746 - 4.11039i) q^{49} +(-1.54632 - 1.12347i) q^{50} +(2.27205 - 8.33033i) q^{51} +(-10.0085 + 3.25197i) q^{52} +(-5.50526 - 7.57734i) q^{53} +(9.82939 - 1.42201i) q^{54} +(3.20033 + 0.870581i) q^{55} -0.0554122i q^{56} +(-2.20658 - 2.74994i) q^{57} +(3.26369 + 10.0446i) q^{58} +(-0.486700 - 0.158139i) q^{59} +(-1.57034 + 2.39462i) q^{60} +(3.69870 - 5.09082i) q^{61} +(-4.45574 + 13.7134i) q^{62} +(0.230073 - 0.0999809i) q^{63} +(4.06746 - 2.95518i) q^{64} -6.36521 q^{65} +(2.37161 - 10.7207i) q^{66} +2.39073 q^{67} +(6.66793 - 4.84454i) q^{68} +(-1.89509 + 0.717756i) q^{69} +(-0.0493892 + 0.152004i) q^{70} +(-8.70497 + 11.9814i) q^{71} +(-1.71272 - 1.00936i) q^{72} +(-3.06517 - 0.995934i) q^{73} +(-2.25749 - 6.94784i) q^{74} +(-1.35091 + 1.08399i) q^{75} -3.36548i q^{76} +(-0.0134614 - 0.277007i) q^{77} +(1.00879 + 21.0483i) q^{78} +(-3.50824 - 4.82868i) q^{79} +(4.34937 - 1.41320i) q^{80} +(1.10060 - 8.93245i) q^{81} +(-8.73094 - 6.34340i) q^{82} +(1.66823 + 1.21204i) q^{83} +(0.231014 + 0.0630079i) q^{84} +(4.74120 - 1.54051i) q^{85} +(8.21353 + 11.3050i) q^{86} +(9.55976 - 0.458175i) q^{87} +(-1.71328 + 1.37664i) q^{88} +3.88970i q^{89} +(3.79861 + 4.29538i) q^{90} +(0.164476 + 0.506205i) q^{91} +(-1.83965 - 0.597738i) q^{92} +(10.9265 + 7.16537i) q^{93} +(-3.91969 + 5.39499i) q^{94} +(0.629039 - 1.93598i) q^{95} +(-4.54937 - 12.0117i) q^{96} +(1.00171 - 0.727785i) q^{97} -13.3662 q^{98} +(-8.80713 - 4.62973i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9}+O(q^{10}) $ 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9	$ 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9} + 8 q^{12} + 6 q^{15} + 32 q^{16} - 30 q^{18} - 100 q^{19} - 82 q^{22} + 100 q^{24} + 12 q^{25} + 14 q^{27} + 30 q^{28} + 10 q^{30} + 10 q^{31} - 46 q^{33} - 28 q^{34} + 14 q^{36} + 6 q^{37} - 50 q^{40} - 52 q^{42} + 32 q^{45} + 20 q^{46} - 80 q^{48} - 26 q^{49} - 30 q^{51} + 40 q^{52} + 6 q^{55} - 70 q^{57} + 92 q^{58} + 44 q^{60} + 70 q^{61} - 20 q^{63} + 18 q^{64} + 76 q^{66} + 20 q^{67} + 42 q^{69} - 4 q^{70} - 80 q^{72} + 90 q^{73} - 6 q^{75} - 108 q^{78} - 100 q^{79} + 38 q^{81} - 34 q^{82} + 70 q^{84} + 20 q^{85} + 74 q^{88} + 20 q^{90} - 86 q^{91} + 76 q^{93} + 10 q^{94} - 30 q^{96} + 6 q^{97} - 28 q^{99}+O(q^{100}) $ 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9 + 8 * q^12 + 6 * q^15 + 32 * q^16 - 30 * q^18 - 100 * q^19 - 82 * q^22 + 100 * q^24 + 12 * q^25 + 14 * q^27 + 30 * q^28 + 10 * q^30 + 10 * q^31 - 46 * q^33 - 28 * q^34 + 14 * q^36 + 6 * q^37 - 50 * q^40 - 52 * q^42 + 32 * q^45 + 20 * q^46 - 80 * q^48 - 26 * q^49 - 30 * q^51 + 40 * q^52 + 6 * q^55 - 70 * q^57 + 92 * q^58 + 44 * q^60 + 70 * q^61 - 20 * q^63 + 18 * q^64 + 76 * q^66 + 20 * q^67 + 42 * q^69 - 4 * q^70 - 80 * q^72 + 90 * q^73 - 6 * q^75 - 108 * q^78 - 100 * q^79 + 38 * q^81 - 34 * q^82 + 70 * q^84 + 20 * q^85 + 74 * q^88 + 20 * q^90 - 86 * q^91 + 76 * q^93 + 10 * q^94 - 30 * q^96 + 6 * q^97 - 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/165\mathbb{Z}\right)^\times$.

$n$	$46$	$56$	$67$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$-1$	$1$

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 $

$2$	1.54632	−	1.12347i	1.09342	−	0.794413i	0.113443	−	0.993545i	$-0.463812\pi$
$2$	1.54632	−	1.12347i	1.09342	−	0.794413i	0.979973	+	0.199132i	$0.0638121\pi$
$3$	−0.613479	−	1.61977i	−0.354192	−	0.935173i
$3$	−0.613479	−	1.61977i	−0.354192	−	0.935173i
$4$	0.510897	−	1.57238i	0.255449	−	0.786190i
$5$	0.587785	−	0.809017i	0.262866	−	0.361803i
$5$	0.587785	−	0.809017i	0.262866	−	0.361803i
$6$	−2.76839	−	1.81546i	−1.13019	−	0.741157i
$7$	−0.0795268	−	0.0258398i	−0.0300583	−	0.00976654i	0.293949	−	0.955821i	$-0.405030\pi$
$7$	−0.0795268	−	0.0258398i	−0.0300583	−	0.00976654i	−0.324008	+	0.946054i	$0.605030\pi$
$8$	0.204777	+	0.630238i	0.0723995	+	0.222823i
$9$	−2.24729	+	1.98739i	−0.749096	+	0.662462i
$10$		−	1.91136i		−	0.604425i
$11$	1.17679	+	3.10083i	0.354816	+	0.934936i
$11$	1.17679	+	3.10083i	0.354816	+	0.934936i
$12$	−2.86031	+	0.137088i	−0.825701	+	0.0395738i
$13$	−3.74138	−	5.14956i	−1.03767	−	1.42823i	−0.899029	−	0.437890i	$-0.855726\pi$
$13$	−3.74138	−	5.14956i	−1.03767	−	1.42823i	−0.138643	−	0.990342i	$-0.544274\pi$
$14$	−0.152004	+	0.0493892i	−0.0406249	+	0.0131998i
$15$	−1.67101	−	0.455760i	−0.431454	−	0.117677i
$16$	3.69980	+	2.68806i	0.924949	+	0.672015i
$17$	4.03311	+	2.93023i	0.978173	+	0.710684i	0.957299	−	0.289098i	$-0.0933554\pi$
$17$	4.03311	+	2.93023i	0.978173	+	0.710684i	0.0208731	+	0.999782i	$0.493355\pi$
$18$	−1.24227	+	5.59790i	−0.292805	+	1.31944i
$19$	1.93598	−	0.629039i	0.444145	−	0.144312i	−0.0784021	−	0.996922i	$-0.524982\pi$
$19$	1.93598	−	0.629039i	0.444145	−	0.144312i	0.522547	+	0.852610i	$0.324982\pi$
$20$	−0.971784	−	1.33755i	−0.217298	−	0.299084i
$21$	0.00693353	+	0.144667i	0.00151302	+	0.0315689i
$22$	5.30339	+	3.47280i	1.13069	+	0.740404i
$23$		−	1.16998i		−	0.243957i	−0.992533	−	0.121979i	$-0.961076\pi$
$23$		−	1.16998i		−	0.243957i	0.992533	−	0.121979i	$-0.0389239\pi$
$24$	0.895213	−	0.718328i	0.182734	−	0.146628i
$25$	−0.309017	−	0.951057i	−0.0618034	−	0.190211i
$26$	−11.5708	−	3.75957i	−2.26921	−	0.737312i
$27$	4.59776	+	2.42086i	0.884840	+	0.465895i
$28$	−0.0812601	+	0.111845i	−0.0153567	+	0.0211367i
$29$	−1.70752	+	5.25522i	−0.317079	+	0.975869i	0.657811	+	0.753183i	$0.271483\pi$
$29$	−1.70752	+	5.25522i	−0.317079	+	0.975869i	−0.974890	+	0.222686i	$0.928517\pi$
$30$	−3.09596	+	1.17258i	−0.565242	+	0.214083i
$31$	−6.10313	+	4.43418i	−1.09615	+	0.796403i	−0.980428	−	0.196878i	$-0.936920\pi$
$31$	−6.10313	+	4.43418i	−1.09615	+	0.796403i	−0.115727	+	0.993281i	$0.536920\pi$
$32$	7.41569			1.31092
$33$	4.30069	−	3.80842i	0.748654	−	0.662961i
$34$	9.52851			1.63413
$35$	−0.0676496	+	0.0491503i	−0.0114349	+	0.00830791i
$36$	1.97679	+	4.54894i	0.329465	+	0.758157i
$37$	1.18109	−	3.63502i	0.194170	−	0.597594i	−0.805815	−	0.592167i	$-0.798273\pi$
$37$	1.18109	−	3.63502i	0.194170	−	0.597594i	0.999985	−	0.00542690i	$-0.00172744\pi$
$38$	2.28695	−	3.14772i	0.370992	−	0.510627i
$39$	−6.04584	+	9.21931i	−0.968109	+	1.47627i
$40$	0.630238	+	0.204777i	0.0996494	+	0.0323781i
$41$	−1.74479	−	5.36991i	−0.272490	−	0.838640i	−0.989872	−	0.141959i	$-0.954660\pi$
$41$	−1.74479	−	5.36991i	−0.272490	−	0.838640i	0.717382	−	0.696680i	$-0.245340\pi$
$42$	0.173251	+	0.215912i	0.0267331	+	0.0333160i
$43$			7.31086i			1.11490i	0.830212	+	0.557448i	$0.188219\pi$
$43$			7.31086i			1.11490i	−0.830212	+	0.557448i	$0.811781\pi$
$44$	5.47691	−	0.266154i	0.825675	−	0.0401242i
$45$	0.286906	+	2.98625i	0.0427694	+	0.445164i
$46$	−1.31443	−	1.80916i	−0.193803	−	0.266747i
$47$	−3.31816	+	1.07813i	−0.484003	+	0.157262i	−0.540847	−	0.841121i	$-0.681896\pi$
$47$	−3.31816	+	1.07813i	−0.484003	+	0.157262i	0.0568441	+	0.998383i	$0.481896\pi$
$48$	2.08428	−	7.64188i	0.300840	−	1.10301i
$49$	−5.65746	−	4.11039i	−0.808209	−	0.587198i
$50$	−1.54632	−	1.12347i	−0.218683	−	0.158883i
$51$	2.27205	−	8.33033i	0.318151	−	1.16648i
$52$	−10.0085	+	3.25197i	−1.38793	+	0.450967i
$53$	−5.50526	−	7.57734i	−0.756205	−	1.04083i	−0.997520	−	0.0703804i	$-0.977579\pi$
$53$	−5.50526	−	7.57734i	−0.756205	−	1.04083i	0.241315	−	0.970447i	$-0.422421\pi$
$54$	9.82939	−	1.42201i	1.33761	−	0.193511i
$55$	3.20033	+	0.870581i	0.431532	+	0.117389i
$56$		−	0.0554122i		−	0.00740477i
$57$	−2.20658	−	2.74994i	−0.292269	−	0.364239i
$58$	3.26369	+	10.0446i	0.428544	+	1.31892i
$59$	−0.486700	−	0.158139i	−0.0633630	−	0.0205879i	0.277164	−	0.960823i	$-0.410605\pi$
$59$	−0.486700	−	0.158139i	−0.0633630	−	0.0205879i	−0.340527	+	0.940235i	$0.610605\pi$
$60$	−1.57034	+	2.39462i	−0.202731	+	0.309144i
$61$	3.69870	−	5.09082i	0.473570	−	0.651813i	−0.503684	−	0.863888i	$-0.668022\pi$
$61$	3.69870	−	5.09082i	0.473570	−	0.651813i	0.977253	+	0.212075i	$0.0680222\pi$
$62$	−4.45574	+	13.7134i	−0.565880	+	1.74160i
$63$	0.230073	−	0.0999809i	0.0289865	−	0.0125964i
$64$	4.06746	−	2.95518i	0.508433	−	0.369398i
$65$	−6.36521			−0.789507
$66$	2.37161	−	10.7207i	0.291925	−	1.31963i
$67$	2.39073			0.292074			0.146037	−	0.989279i	$-0.453348\pi$
$67$	2.39073			0.292074			0.146037	+	0.989279i	$0.453348\pi$
$68$	6.66793	−	4.84454i	0.808606	−	0.587486i
$69$	−1.89509	+	0.717756i	−0.228142	+	0.0864077i
$70$	−0.0493892	+	0.152004i	−0.00590314	+	0.0181680i
$71$	−8.70497	+	11.9814i	−1.03309	+	1.42193i	−0.130487	+	0.991450i	$0.541654\pi$
$71$	−8.70497	+	11.9814i	−1.03309	+	1.42193i	−0.902602	+	0.430475i	$0.858346\pi$
$72$	−1.71272	−	1.00936i	−0.201846	−	0.118954i
$73$	−3.06517	−	0.995934i	−0.358751	−	0.116565i	0.124095	−	0.992270i	$-0.460397\pi$
$73$	−3.06517	−	0.995934i	−0.358751	−	0.116565i	−0.482846	+	0.875705i	$0.660397\pi$
$74$	−2.25749	−	6.94784i	−0.262428	−	0.807670i
$75$	−1.35091	+	1.08399i	−0.155990	+	0.125168i
$76$		−	3.36548i		−	0.386047i
$77$	−0.0134614	−	0.277007i	−0.00153407	−	0.0315679i
$78$	1.00879	+	21.0483i	0.114223	+	2.38326i
$79$	−3.50824	−	4.82868i	−0.394708	−	0.543269i	0.564698	−	0.825298i	$-0.308993\pi$
$79$	−3.50824	−	4.82868i	−0.394708	−	0.543269i	−0.959406	+	0.282029i	$0.908993\pi$
$80$	4.34937	−	1.41320i	0.486275	−	0.158000i
$81$	1.10060	−	8.93245i	0.122289	−	0.992495i
$82$	−8.73094	−	6.34340i	−0.964171	−	0.700511i
$83$	1.66823	+	1.21204i	0.183112	+	0.133039i	0.675565	−	0.737300i	$-0.263900\pi$
$83$	1.66823	+	1.21204i	0.183112	+	0.133039i	−0.492453	+	0.870339i	$0.663900\pi$
$84$	0.231014	+	0.0630079i	0.0252057	+	0.00687472i
$85$	4.74120	−	1.54051i	0.514256	−	0.167092i
$86$	8.21353	+	11.3050i	0.885688	+	1.21904i
$87$	9.55976	−	0.458175i	1.02491	−	0.0491215i
$88$	−1.71328	+	1.37664i	−0.182637	+	0.146750i
$89$			3.88970i			0.412307i	0.978520	+	0.206154i	$0.0660947\pi$
$89$			3.88970i			0.412307i	−0.978520	+	0.206154i	$0.933905\pi$
$90$	3.79861	+	4.29538i	0.400409	+	0.452772i
$91$	0.164476	+	0.506205i	0.0172418	+	0.0530647i
$92$	−1.83965	−	0.597738i	−0.191797	−	0.0623185i
$93$	10.9265	+	7.16537i	1.13302	+	0.743014i
$94$	−3.91969	+	5.39499i	−0.404285	+	0.556451i
$95$	0.629039	−	1.93598i	0.0645381	−	0.198628i
$96$	−4.54937	−	12.0117i	−0.464318	−	1.22594i
$97$	1.00171	−	0.727785i	0.101708	−	0.0738953i	−0.535769	−	0.844365i	$-0.679978\pi$
$97$	1.00171	−	0.727785i	0.101708	−	0.0738953i	0.637477	+	0.770469i	$0.279978\pi$
$98$	−13.3662			−1.35019
$99$	−8.80713	−	4.62973i	−0.885150	−	0.465305i
$100$	−1.65330			−0.165330
$101$	3.94482	−	2.86608i	0.392524	−	0.285185i	−0.373965	−	0.927443i	$-0.622002\pi$
$101$	3.94482	−	2.86608i	0.392524	−	0.285185i	0.766489	+	0.642257i	$0.222002\pi$
$102$	−5.84554	−	15.4340i	−0.578794	−	1.52819i
$103$	−2.80803	+	8.64222i	−0.276683	+	0.851543i	0.712086	+	0.702092i	$0.247751\pi$
$103$	−2.80803	+	8.64222i	−0.276683	+	0.851543i	−0.988769	+	0.149451i	$0.952249\pi$
$104$	2.47931	−	3.41247i	0.243116	−	0.334620i
$105$	0.121114	+	0.0794238i	0.0118195	+	0.00775097i
$106$	−17.0258	−	5.53202i	−1.65369	−	0.537317i
$107$	−2.80580	−	8.63536i	−0.271247	−	0.834811i	−0.990188	−	0.139741i	$-0.955373\pi$
$107$	−2.80580	−	8.63536i	−0.271247	−	0.834811i	0.718941	−	0.695071i	$-0.244627\pi$
$108$	6.15550	−	5.99262i	0.592313	−	0.576640i
$109$		−	15.0757i		−	1.44399i	−0.691901	−	0.721993i	$-0.743226\pi$
$109$		−	15.0757i		−	1.44399i	0.691901	−	0.721993i	$-0.256774\pi$
$110$	5.92681	−	2.24927i	0.565099	−	0.214459i
$111$	−6.61246	+	0.316919i	−0.627627	+	0.0300806i
$112$	−0.224774	−	0.309375i	−0.0212392	−	0.0292332i
$113$	13.4770	−	4.37895i	1.26781	−	0.411937i	0.403541	−	0.914962i	$-0.367779\pi$
$113$	13.4770	−	4.37895i	1.26781	−	0.411937i	0.864272	+	0.503024i	$0.167779\pi$
$114$	−6.50156	−	1.77327i	−0.608927	−	0.166082i
$115$	−0.946532	−	0.687695i	−0.0882645	−	0.0641279i
$116$	7.39083	+	5.36975i	0.686221	+	0.498569i
$117$	18.6421	+	4.13699i	1.72346	+	0.382465i
$118$	−0.930260	+	0.302260i	−0.0856373	+	0.0278253i
$119$	−0.245024	−	0.337246i	−0.0224613	−	0.0309153i
$120$	−0.0549472	−	1.14647i	−0.00501597	−	0.104657i
$121$	−8.23033	+	7.29806i	−0.748212	+	0.663460i
$122$		−	12.0274i		−	1.08891i
$123$	−7.62761	+	6.12048i	−0.687759	+	0.551865i
$124$	3.85415	+	11.8619i	0.346113	+	1.06523i
$125$	−0.951057	−	0.309017i	−0.0850651	−	0.0276393i
$126$	0.243442	−	0.413083i	0.0216876	−	0.0368004i
$127$	6.74882	−	9.28896i	0.598861	−	0.824262i	−0.396742	−	0.917930i	$-0.629859\pi$
$127$	6.74882	−	9.28896i	0.598861	−	0.824262i	0.995603	+	0.0936685i	$0.0298594\pi$
$128$	−1.61360	+	4.96615i	−0.142623	+	0.438950i
$129$	11.8419	−	4.48506i	1.04262	−	0.394887i
$130$	−9.84267	+	7.15112i	−0.863260	+	0.627195i
$131$	17.1349			1.49708			0.748542	−	0.663087i	$-0.230754\pi$
$131$	17.1349			1.49708			0.748542	+	0.663087i	$0.230754\pi$
$132$	−3.79107	−	8.70803i	−0.329971	−	0.757937i
$133$	−0.170217			−0.0147597
$134$	3.69683	−	2.68591i	0.319358	−	0.232027i
$135$	4.66102	−	2.29672i	0.401156	−	0.197670i
$136$	−1.02085	+	3.14186i	−0.0875374	+	0.269412i
$137$	−9.13948	+	12.5794i	−0.780839	+	1.07473i	0.214350	+	0.976757i	$0.431237\pi$
$137$	−9.13948	+	12.5794i	−0.780839	+	1.07473i	−0.995189	+	0.0979755i	$0.968763\pi$
$138$	−2.12404	+	3.23896i	−0.180811	+	0.275719i
$139$	4.01687	+	1.30516i	0.340707	+	0.110702i	0.474373	−	0.880324i	$-0.342675\pi$
$139$	4.01687	+	1.30516i	0.340707	+	0.110702i	−0.133666	+	0.991026i	$0.542675\pi$
$140$	0.0427210	+	0.131482i	0.00361058	+	0.0111122i
$141$	3.78195	+	4.71323i	0.318497	+	0.396925i
$142$			28.3068i			2.37545i
$143$	11.5651	−	17.6613i	0.967124	−	1.47692i
$144$	−13.6567	+	1.31208i	−1.13806	+	0.109340i
$145$	3.24790	+	4.47036i	0.269724	+	0.371243i
$146$	−5.85864	+	1.90359i	−0.484865	+	0.157542i
$147$	−3.18713	+	11.6854i	−0.262870	+	0.963796i
$148$	−5.11222	−	3.71425i	−0.420222	−	0.305309i
$149$	11.0357	+	8.01788i	0.904077	+	0.656851i	0.939510	−	0.342521i	$-0.111281\pi$
$149$	11.0357	+	8.01788i	0.904077	+	0.656851i	−0.0354326	+	0.999372i	$0.511281\pi$
$150$	−0.871122	+	3.19391i	−0.0711268	+	0.260781i
$151$	13.0909	−	4.25350i	1.06532	−	0.346145i	0.276659	−	0.960968i	$-0.410773\pi$
$151$	13.0909	−	4.25350i	1.06532	−	0.346145i	0.788665	+	0.614823i	$0.210773\pi$
$152$	0.792889	+	1.09132i	0.0643118	+	0.0885176i
$153$	−14.8870	+	1.43028i	−1.20355	+	0.115631i
$154$	−0.332025	−	0.413220i	−0.0267553	−	0.0332982i
$155$			7.54388i			0.605939i
$156$	11.4075	+	14.2165i	0.913327	+	1.13823i
$157$	−5.21606	−	16.0534i	−0.416287	−	1.28120i	−0.911095	−	0.412197i	$-0.864762\pi$
$157$	−5.21606	−	16.0534i	−0.416287	−	1.28120i	0.494808	−	0.869002i	$-0.335238\pi$
$158$	−10.8498	−	3.52530i	−0.863160	−	0.280458i
$159$	−8.89616	+	13.5658i	−0.705511	+	1.07584i
$160$	4.35883	−	5.99942i	0.344596	−	0.474296i
$161$	−0.0302320	+	0.0930446i	−0.00238262	+	0.00733294i
$162$	−8.33345	−	15.0489i	−0.654738	−	1.18236i
$163$	3.72009	−	2.70281i	0.291380	−	0.211700i	−0.432486	−	0.901641i	$-0.642363\pi$
$163$	3.72009	−	2.70281i	0.291380	−	0.211700i	0.723866	+	0.689941i	$0.242363\pi$
$164$	−9.33495			−0.728937
$165$	−0.553195	−	5.71786i	−0.0430662	−	0.445135i
$166$	3.94131			0.305905
$167$	4.78790	−	3.47861i	0.370499	−	0.269183i	−0.386919	−	0.922114i	$-0.626461\pi$
$167$	4.78790	−	3.47861i	0.370499	−	0.269183i	0.757418	+	0.652931i	$0.226461\pi$
$168$	−0.0897549	+	0.0339942i	−0.00692474	+	0.00262271i
$169$	−8.50289	+	26.1692i	−0.654068	+	2.01302i
$170$	5.60072	−	7.70872i	0.429555	−	0.591232i
$171$	−3.10057	+	5.26118i	−0.237106	+	0.402332i
$172$	11.4955	+	3.73510i	0.876520	+	0.284799i
$173$	3.90654	+	12.0231i	0.297008	+	0.914098i	0.982539	+	0.186055i	$0.0595701\pi$
$173$	3.90654	+	12.0231i	0.297008	+	0.914098i	−0.685531	+	0.728043i	$0.740430\pi$
$174$	14.2677	−	11.4486i	1.08163	−	0.867915i
$175$			0.0836195i			0.00632104i
$176$	−3.98134	+	14.6357i	−0.300105	+	1.10321i
$177$	0.0424329	+	0.885356i	0.00318945	+	0.0665474i
$178$	4.36996	+	6.01473i	0.327542	+	0.450823i
$179$	−24.2137	+	7.86750i	−1.80982	+	0.588045i	−0.809817	+	0.586683i	$0.800433\pi$
$179$	−24.2137	+	7.86750i	−1.80982	+	0.588045i	−0.999999	+	0.00136164i	$0.999567\pi$
$180$	4.84210	+	1.07454i	0.360909	+	0.0800916i
$181$	10.7676	+	7.82309i	0.800346	+	0.581486i	0.911016	−	0.412372i	$-0.135299\pi$
$181$	10.7676	+	7.82309i	0.800346	+	0.581486i	−0.110669	+	0.993857i	$0.535299\pi$
$182$	0.823039	+	0.597973i	0.0610077	+	0.0443247i
$183$	−10.5150	−	2.86792i	−0.777292	−	0.212002i
$184$	0.737364	−	0.239584i	0.0543592	−	0.0176624i
$185$	−2.24657	−	3.09213i	−0.165171	−	0.227338i
$186$	24.9459	−	1.19560i	1.82913	−	0.0876654i
$187$	−4.34002	+	15.9543i	−0.317373	+	1.16669i
$188$			5.76822i			0.420691i
$189$	−0.303091	−	0.311329i	−0.0220466	−	0.0226458i
$190$	−1.20232	−	3.70036i	−0.0872255	−	0.268453i
$191$	5.58830	+	1.81575i	0.404355	+	0.131383i	0.504131	−	0.863627i	$-0.331813\pi$
$191$	5.58830	+	1.81575i	0.404355	+	0.131383i	−0.0997764	+	0.995010i	$0.531813\pi$
$192$	−7.28201	−	4.77539i	−0.525534	−	0.344634i
$193$	8.23383	−	11.3329i	0.592684	−	0.815760i	−0.402330	−	0.915495i	$-0.631799\pi$
$193$	8.23383	−	11.3329i	0.592684	−	0.815760i	0.995014	+	0.0997348i	$0.0317994\pi$
$194$	0.731323	−	2.25078i	0.0525059	−	0.161597i
$195$	3.90492	+	10.3102i	0.279637	+	0.738326i
$196$	−9.35347	+	6.79570i	−0.668105	+	0.485407i
$197$	−17.3246			−1.23432			−0.617162	−	0.786836i	$-0.711718\pi$
$197$	−17.3246			−1.23432			−0.617162	+	0.786836i	$0.711718\pi$
$198$	−18.8200	+	2.73549i	−1.33748	+	0.194403i
$199$	−5.23014			−0.370755			−0.185377	−	0.982667i	$-0.559351\pi$
$199$	−5.23014			−0.370755			−0.185377	+	0.982667i	$0.559351\pi$
$200$	0.536113	−	0.389509i	0.0379089	−	0.0275424i
$201$	−1.46666	−	3.87242i	−0.103450	−	0.273139i
$202$	2.88001	−	8.86376i	0.202637	−	0.623652i
$203$	0.271588	−	0.373809i	0.0190617	−	0.0262362i
$204$	−11.9377	−	7.82847i	−0.835803	−	0.548103i
$205$	−5.36991	−	1.74479i	−0.375051	−	0.121861i
$206$	5.36715	+	16.5184i	0.373947	+	1.15089i
$207$	2.32520	+	2.62928i	0.161612	+	0.182747i
$208$		−	29.1094i		−	2.01837i
$209$	4.22879	+	5.26292i	0.292512	+	0.364044i
$210$	0.276511	−	0.0132525i	0.0190811	−	0.000914508i
$211$	13.1839	+	18.1461i	0.907616	+	1.24923i	0.967974	+	0.251050i	$0.0807759\pi$
$211$	13.1839	+	18.1461i	0.907616	+	1.24923i	−0.0603576	+	0.998177i	$0.519224\pi$
$212$	−14.7271	+	4.78512i	−1.01146	+	0.328643i
$213$	24.7473	+	6.74970i	1.69566	+	0.462482i
$214$	−14.0402	−	10.2008i	−0.959770	−	0.697314i
$215$	5.91461	+	4.29722i	0.403373	+	0.293068i
$216$	−0.584205	+	3.39342i	−0.0397501	+	0.230893i
$217$	0.599941	−	0.194933i	0.0407267	−	0.0132329i
$218$	−16.9370	−	23.3118i	−1.14712	−	1.57888i
$219$	0.267236	+	5.57584i	0.0180582	+	0.376781i
$220$	3.00392	−	4.58735i	0.202524	−	0.309279i
$221$		−	31.7318i		−	2.13451i
$222$	−9.86895	+	7.91896i	−0.662361	+	0.531486i
$223$	−4.32078	−	13.2980i	−0.289341	−	0.890500i	−0.985064	−	0.172190i	$-0.944916\pi$
$223$	−4.32078	−	13.2980i	−0.289341	−	0.890500i	0.695723	−	0.718310i	$-0.255084\pi$
$224$	−0.589746	−	0.191620i	−0.0394041	−	0.0128032i
$225$	2.58457	+	1.52316i	0.172304	+	0.101544i
$226$	15.9202	−	21.9123i	1.05900	−	1.45759i
$227$	8.58453	−	26.4205i	0.569775	−	1.75359i	−0.0835418	−	0.996504i	$-0.526623\pi$
$227$	8.58453	−	26.4205i	0.569775	−	1.75359i	0.653317	−	0.757084i	$-0.273377\pi$
$228$	−5.45129	+	2.06465i	−0.361020	+	0.136735i
$229$	13.1177	−	9.53059i	0.866845	−	0.629799i	−0.0628938	−	0.998020i	$-0.520033\pi$
$229$	13.1177	−	9.53059i	0.866845	−	0.629799i	0.929738	+	0.368221i	$0.120033\pi$
$230$	−2.23625			−0.147454
$231$	−0.440429	+	0.191742i	−0.0289781	+	0.0126157i
$232$	−3.66170			−0.240402
$233$	16.4615	−	11.9600i	1.07843	−	0.783525i	0.101022	−	0.994884i	$-0.467789\pi$
$233$	16.4615	−	11.9600i	1.07843	−	0.783525i	0.977409	+	0.211359i	$0.0677889\pi$
$234$	33.4745	−	14.5467i	2.18830	−	0.950949i
$235$	−1.07813	+	3.31816i	−0.0703297	+	0.216453i
$236$	−0.497308	+	0.684485i	−0.0323720	+	0.0445562i
$237$	−5.66910	+	8.64483i	−0.368248	+	0.561542i
$238$	−0.757772	−	0.246215i	−0.0491191	−	0.0159598i
$239$	−1.29614	−	3.98911i	−0.0838403	−	0.258034i	0.900345	−	0.435177i	$-0.143314\pi$
$239$	−1.29614	−	3.98911i	−0.0838403	−	0.258034i	−0.984185	+	0.177143i	$0.943314\pi$
$240$	−4.95730	−	6.17800i	−0.319992	−	0.398788i
$241$		−	6.77690i		−	0.436539i	−0.975889	−	0.218269i	$-0.929959\pi$
$241$		−	6.77690i		−	0.436539i	0.975889	−	0.218269i	$-0.0700411\pi$
$242$	−4.52760	+	20.5317i	−0.291045	+	1.31983i
$243$	−15.1437	+	3.69715i	−0.971468	+	0.237172i
$244$	−6.11505	−	8.41665i	−0.391476	−	0.538821i
$245$	−6.65075	+	2.16096i	−0.424901	+	0.138059i
$246$	−4.91858	+	18.0336i	−0.313597	+	1.14978i
$247$	−10.4825	−	7.61600i	−0.666987	−	0.484595i
$248$	−4.04437	−	2.93841i	−0.256818	−	0.186589i
$249$	0.939798	−	3.44570i	0.0595573	−	0.218363i
$250$	−1.81781	+	0.590643i	−0.114969	+	0.0373555i
$251$	8.49513	+	11.6925i	0.536208	+	0.738026i	0.988061	−	0.154066i	$-0.0492369\pi$
$251$	8.49513	+	11.6925i	0.536208	+	0.738026i	−0.451853	+	0.892092i	$0.649237\pi$
$252$	−0.0396641	−	0.412843i	−0.00249861	−	0.0260066i
$253$	3.62790	−	1.37682i	0.228084	−	0.0865598i
$254$		−	21.9458i		−	1.37700i
$255$	−5.40390	−	6.73457i	−0.338405	−	0.421735i
$256$	6.19143	+	19.0553i	0.386965	+	1.19095i
$257$	−21.6263	−	7.02682i	−1.34901	−	0.438321i	−0.456653	−	0.889645i	$-0.650952\pi$
$257$	−21.6263	−	7.02682i	−1.34901	−	0.438321i	−0.892360	+	0.451324i	$0.850952\pi$
$258$	13.2726	−	20.2394i	0.826314	−	1.26005i
$259$	−0.187857	+	0.258563i	−0.0116728	+	0.0160663i
$260$	−3.25197	+	10.0085i	−0.201679	+	0.620703i
$261$	−6.60684	−	15.2035i	−0.408953	−	0.941072i
$262$	26.4961	−	19.2506i	1.63694	−	1.18930i
$263$	−17.7952			−1.09730			−0.548648	−	0.836053i	$-0.684857\pi$
$263$	−17.7952			−1.09730			−0.548648	+	0.836053i	$0.684857\pi$
$264$	3.28089	+	1.93058i	0.201925	+	0.118819i
$265$	−9.36610			−0.575355
$266$	−0.263210	+	0.191234i	−0.0161385	+	0.0117253i
$267$	6.30040	−	2.38625i	0.385578	−	0.146036i
$268$	1.22142	−	3.75913i	0.0746098	−	0.229625i
$269$	8.91178	−	12.2660i	0.543361	−	0.747872i	−0.445732	−	0.895166i	$-0.647057\pi$
$269$	8.91178	−	12.2660i	0.543361	−	0.747872i	0.989093	+	0.147295i	$0.0470566\pi$
$270$	4.62714	−	8.78798i	0.281599	−	0.534820i
$271$	−12.5955	−	4.09253i	−0.765123	−	0.248603i	−0.0996469	−	0.995023i	$-0.531771\pi$
$271$	−12.5955	−	4.09253i	−0.765123	−	0.248603i	−0.665476	+	0.746419i	$0.731771\pi$
$272$	7.04506	+	21.6825i	0.427170	+	1.31469i
$273$	0.719032	−	0.576959i	0.0435178	−	0.0349191i
$274$			29.7198i			1.79544i
$275$	2.58542	−	2.07740i	0.155907	−	0.125272i
$276$	0.160389	+	3.34650i	0.00965431	+	0.201436i
$277$	3.13208	+	4.31093i	0.188188	+	0.259019i	0.892678	−	0.450696i	$-0.148824\pi$
$277$	3.13208	+	4.31093i	0.188188	+	0.259019i	−0.704490	+	0.709714i	$0.748824\pi$
$278$	7.67769	−	2.49463i	0.460477	−	0.149618i
$279$	4.90306	−	22.0942i	0.293538	−	1.32274i
$280$	−0.0448294	−	0.0325705i	−0.00267907	−	0.00194646i
$281$	5.72291	+	4.15794i	0.341400	+	0.248042i	0.745252	−	0.666782i	$-0.232329\pi$
$281$	5.72291	+	4.15794i	0.341400	+	0.248042i	−0.403852	+	0.914824i	$0.632329\pi$
$282$	11.1433	+	3.03927i	0.663572	+	0.180986i
$283$	10.1059	−	3.28361i	0.600733	−	0.195190i	0.00716593	−	0.999974i	$-0.497719\pi$
$283$	10.1059	−	3.28361i	0.600733	−	0.195190i	0.593568	+	0.804784i	$0.297719\pi$
$284$	14.3919	+	19.8088i	0.854002	+	1.17543i
$285$	−3.52175	+	0.168788i	−0.208610	+	0.00999816i
$286$	−1.95856	−	40.3032i	−0.115812	−	2.38318i
$287$			0.472137i			0.0278694i
$288$	−16.6652	+	14.7378i	−0.982006	+	0.868435i
$289$	2.42646	+	7.46787i	0.142733	+	0.439287i
$290$	10.0446	+	3.26369i	0.589840	+	0.191651i
$291$	−1.79337	−	1.17606i	−0.105129	−	0.0689416i
$292$	−3.13197	+	4.31079i	−0.183285	+	0.252270i
$293$	−7.36777	+	22.6757i	−0.430430	+	1.32473i	0.467269	+	0.884115i	$0.345238\pi$
$293$	−7.36777	+	22.6757i	−0.430430	+	1.32473i	−0.897698	+	0.440611i	$0.854762\pi$
$294$	8.19986	+	21.6501i	0.478225	+	1.26266i
$295$	−0.414012	+	0.300797i	−0.0241047	+	0.0175131i
$296$	2.53279			0.147215
$297$	−2.09609	+	17.1057i	−0.121627	+	0.992576i
$298$	26.0726			1.51034
$299$	−6.02487	+	4.37733i	−0.348427	+	0.253147i
$300$	1.01426	+	2.67796i	0.0585585	+	0.154612i
$301$	0.188911	−	0.581410i	0.0108887	−	0.0335119i
$302$	15.4641	−	21.2845i	0.889860	−	1.22479i
$303$	−7.06244	−	4.63140i	−0.405726	−	0.266067i
$304$	8.85365	+	2.87672i	0.507791	+	0.164991i
$305$	−1.94452	−	5.98462i	−0.111343	−	0.342678i
$306$	−21.4133	+	18.9368i	−1.22412	+	1.08255i
$307$		−	6.00013i		−	0.342446i	−0.985232	−	0.171223i	$-0.945228\pi$
$307$		−	6.00013i		−	0.342446i	0.985232	−	0.171223i	$-0.0547718\pi$
$308$	−0.442438	−	0.120356i	−0.0252103	−	0.00685792i
$309$	15.7210	−	0.753470i	0.894339	−	0.0428634i
$310$	8.47532	+	11.6653i	0.481366	+	0.662544i
$311$	−19.8334	+	6.44426i	−1.12465	+	0.365421i	−0.811540	−	0.584297i	$-0.801370\pi$
$311$	−19.8334	+	6.44426i	−1.12465	+	0.365421i	−0.313109	+	0.949717i	$0.601370\pi$
$312$	−7.04841	−	1.92242i	−0.399037	−	0.108835i
$313$	−10.7313	−	7.79677i	−0.606571	−	0.440700i	0.241634	−	0.970367i	$-0.422317\pi$
$313$	−10.7313	−	7.79677i	−0.606571	−	0.440700i	−0.848205	+	0.529668i	$0.822317\pi$
$314$	−26.1012	−	18.9636i	−1.47298	−	1.07018i
$315$	0.0543475	−	0.244901i	0.00306213	−	0.0137986i
$316$	−9.38487	+	3.04933i	−0.527940	+	0.171538i
$317$	14.5944	+	20.0874i	0.819702	+	1.12822i	0.989753	+	0.142787i	$0.0456065\pi$
$317$	14.5944	+	20.0874i	0.819702	+	1.12822i	−0.170052	+	0.985435i	$0.554393\pi$
$318$	1.48439	+	30.9716i	0.0832406	+	1.73680i
$319$	−18.3049	+	0.889541i	−1.02488	+	0.0498048i
$320$		−	5.02766i		−	0.281055i
$321$	−12.2660	+	9.84234i	−0.684619	+	0.549346i
$322$	0.0577843	+	0.177842i	0.00322019	+	0.00991073i
$323$	9.65126	+	3.13589i	0.537011	+	0.174485i
$324$	−13.4829	−	6.29413i	−0.749051	−	0.349674i
$325$	−3.74138	+	5.14956i	−0.207534	+	0.285646i
$326$	2.71595	−	8.35882i	0.150422	−	0.462952i
$327$	−24.4190	+	9.24859i	−1.35038	+	0.511448i
$328$	3.02703	−	2.19927i	0.167140	−	0.121434i
$329$	0.291741			0.0160842
$330$	−7.27926	−	8.22017i	−0.400710	−	0.452505i
$331$	4.51743			0.248300			0.124150	−	0.992263i	$-0.460380\pi$
$331$	4.51743			0.248300			0.124150	+	0.992263i	$0.460380\pi$
$332$	2.75808	−	2.00386i	0.151369	−	0.109976i
$333$	4.56994	+	10.5162i	0.250431	+	0.576285i
$334$	3.49552	−	10.7581i	0.191267	−	0.588658i
$335$	1.40523	−	1.93414i	0.0767761	−	0.105673i
$336$	−0.363221	+	0.553877i	−0.0198153	+	0.0302164i
$337$	−7.79564	−	2.53296i	−0.424655	−	0.137979i	0.0888898	−	0.996041i	$-0.471668\pi$
$337$	−7.79564	−	2.53296i	−0.424655	−	0.137979i	−0.513545	+	0.858063i	$0.671668\pi$
$338$	16.2521	+	50.0188i	0.883997	+	2.72066i
$339$	−15.3608	−	19.1433i	−0.834282	−	1.03972i
$340$		−	8.24202i		−	0.446986i
$341$	−20.9318	−	13.7067i	−1.13352	−	0.742259i
$342$	1.11629	+	11.6189i	0.0603621	+	0.628277i
$343$	0.687760	+	0.946621i	0.0371356	+	0.0511127i
$344$	−4.60759	+	1.49710i	−0.248424	+	0.0807180i
$345$	−0.533229	+	1.95505i	−0.0287081	+	0.105256i
$346$	19.5483	+	14.2027i	1.05092	+	0.763542i
$347$	−14.8690	−	10.8029i	−0.798207	−	0.579931i	0.112180	−	0.993688i	$-0.464217\pi$
$347$	−14.8690	−	10.8029i	−0.798207	−	0.579931i	−0.910388	+	0.413756i	$0.864217\pi$
$348$	4.16363	−	15.2657i	0.223194	−	0.818325i
$349$	−9.18489	+	2.98435i	−0.491656	+	0.159749i	−0.544344	−	0.838862i	$-0.683221\pi$
$349$	−9.18489	+	2.98435i	−0.491656	+	0.159749i	0.0526877	+	0.998611i	$0.483221\pi$
$350$	0.0939439	+	0.129303i	0.00502151	+	0.00691152i
$351$	−4.73558	−	32.7338i	−0.252767	−	1.74720i
$352$	8.72671	+	22.9948i	0.465135	+	1.22563i
$353$			4.82045i			0.256567i	0.991738	+	0.128283i	$0.0409467\pi$
$353$			4.82045i			0.256567i	−0.991738	+	0.128283i	$0.959053\pi$
$354$	1.06028	+	1.32137i	0.0563535	+	0.0702302i
$355$	4.57647	+	14.0849i	0.242894	+	0.747550i
$356$	6.11608	+	1.98724i	0.324152	+	0.105323i
$357$	−0.395943	+	0.603775i	−0.0209555	+	0.0319552i
$358$	−28.6033	+	39.3690i	−1.51173	+	2.08072i
$359$	4.24074	−	13.0516i	0.223818	−	0.688840i	−0.774592	−	0.632461i	$-0.782045\pi$
$359$	4.24074	−	13.0516i	0.223818	−	0.688840i	0.998409	−	0.0563783i	$-0.0179553\pi$
$360$	−1.82330	+	0.792334i	−0.0960962	+	0.0417597i
$361$	−12.0190	+	8.73230i	−0.632578	+	0.459595i
$362$	25.4391			1.33705
$363$	16.8703	+	8.85401i	0.885460	+	0.464715i
$364$	0.879977			0.0461233
$365$	−2.60739	+	1.89438i	−0.136477	+	0.0991563i
$366$	−19.4816	+	7.37857i	−1.01832	+	0.385684i
$367$	0.363384	−	1.11838i	0.0189685	−	0.0583789i	−0.941124	−	0.338061i	$-0.890229\pi$
$367$	0.363384	−	1.11838i	0.0189685	−	0.0583789i	0.960093	+	0.279682i	$0.0902290\pi$
$368$	3.14497	−	4.32868i	0.163943	−	0.225648i
$369$	14.5931	+	8.60017i	0.759688	+	0.447707i
$370$	−6.94784	−	2.25749i	−0.361201	−	0.117361i
$371$	0.242019	+	0.744856i	0.0125650	+	0.0386710i
$372$	16.8490	−	13.5198i	0.873580	−	0.700970i
$373$			4.66250i			0.241415i	0.992688	+	0.120708i	$0.0385163\pi$
$373$			4.66250i			0.241415i	−0.992688	+	0.120708i	$0.961484\pi$
$374$	11.2131	+	29.5463i	0.579813	+	1.52780i
$375$	0.0829177	+	1.73006i	0.00428185	+	0.0893402i
$376$	−1.35896	−	1.87045i	−0.0700832	−	0.0964612i
$377$	33.4506	−	10.8688i	1.72279	−	0.559769i
$378$	−0.818445	−	0.140902i	−0.0420963	−	0.00724721i
$379$	28.9426	+	21.0280i	1.48668	+	1.08014i	0.975326	+	0.220770i	$0.0708570\pi$
$379$	28.9426	+	21.0280i	1.48668	+	1.08014i	0.511357	+	0.859368i	$0.329143\pi$
$380$	−2.72273	−	1.97818i	−0.139673	−	0.101478i
$381$	−19.1862	−	5.23294i	−0.982939	−	0.268091i
$382$	10.6812	−	3.47055i	0.546500	−	0.177569i
$383$	−4.31550	−	5.93978i	−0.220512	−	0.303509i	0.684401	−	0.729106i	$-0.260064\pi$
$383$	−4.31550	−	5.93978i	−0.220512	−	0.303509i	−0.904913	+	0.425598i	$0.860064\pi$
$384$	9.03391	−	0.432973i	0.461010	−	0.0220951i
$385$	−0.232016	−	0.151930i	−0.0118246	−	0.00774309i
$386$		−	26.7748i		−	1.36280i
$387$	−14.5295	−	16.4296i	−0.738576	−	0.835164i
$388$	−0.632583	−	1.94689i	−0.0321146	−	0.0988384i
$389$	19.5366	+	6.34782i	0.990544	+	0.321847i	0.759081	−	0.650997i	$-0.225649\pi$
$389$	19.5366	+	6.34782i	0.990544	+	0.321847i	0.231463	+	0.972844i	$0.425649\pi$
$390$	17.6214	+	11.5558i	0.892295	+	0.585149i
$391$	3.42830	−	4.71865i	0.173376	−	0.238632i
$392$	1.43201	−	4.40726i	0.0723272	−	0.222600i
$393$	−10.5119	−	27.7546i	−0.530256	−	1.40003i
$394$	−26.7894	+	19.4636i	−1.34963	+	0.980562i
$395$	−5.96858			−0.300312
$396$	−11.7792	+	11.4828i	−0.591929	+	0.577035i
$397$	−25.7250			−1.29110			−0.645551	−	0.763717i	$-0.723372\pi$
$397$	−25.7250			−1.29110			−0.645551	+	0.763717i	$0.723372\pi$
$398$	−8.08749	+	5.87590i	−0.405389	+	0.294532i
$399$	0.104425	+	0.275712i	0.00522776	+	0.0138029i
$400$	1.41320	−	4.34937i	0.0706598	−	0.217469i
$401$	−1.04728	+	1.44146i	−0.0522987	+	0.0719830i	−0.834365	−	0.551212i	$-0.814166\pi$
$401$	−1.04728	+	1.44146i	−0.0522987	+	0.0719830i	0.782067	+	0.623195i	$0.214166\pi$
$402$	−6.61847	−	4.34026i	−0.330099	−	0.216472i
$403$	45.6682	+	14.8385i	2.27490	+	0.739159i
$404$	−2.49117	−	7.66702i	−0.123940	−	0.381449i
$405$	−6.57959	−	6.14077i	−0.326942	−	0.305137i
$406$		−	0.883150i		−	0.0438300i
$407$	12.6615	−	0.615294i	0.627607	−	0.0304990i
$408$	5.71535	−	0.273923i	0.282952	−	0.0135612i
$409$	−12.5510	−	17.2750i	−0.620607	−	0.854193i	0.376790	−	0.926299i	$-0.377028\pi$
$409$	−12.5510	−	17.2750i	−0.620607	−	0.854193i	−0.997397	+	0.0721060i	$0.977028\pi$
$410$	−10.2638	+	3.33492i	−0.506895	+	0.164700i
$411$	25.9826	+	7.08662i	1.28163	+	0.349557i
$412$	12.1542	+	8.83057i	0.598796	+	0.435051i
$413$	0.0346195	+	0.0251525i	0.00170351	+	0.00123767i
$414$	6.54941	+	1.45342i	0.321886	+	0.0714318i
$415$	1.96112	−	0.637207i	0.0962677	−	0.0312793i
$416$	−27.7449	−	38.1876i	−1.36031	−	1.87230i
$417$	−0.350210	−	7.30708i	−0.0171499	−	0.357829i
$418$	12.4518	+	3.38725i	0.609038	+	0.165676i
$419$			14.8149i			0.723758i	0.932225	+	0.361879i	$0.117865\pi$
$419$			14.8149i			0.723758i	−0.932225	+	0.361879i	$0.882135\pi$
$420$	0.186761	−	0.149859i	0.00911301	−	0.00731238i
$421$	−2.28523	−	7.03323i	−0.111375	−	0.342779i	0.879798	−	0.475347i	$-0.157678\pi$
$421$	−2.28523	−	7.03323i	−0.111375	−	0.342779i	−0.991174	+	0.132569i	$0.957678\pi$
$422$	40.7731	+	13.2480i	1.98480	+	0.644902i
$423$	5.31418	−	9.01733i	0.258384	−	0.438438i
$424$	3.64818	−	5.02129i	0.177171	−	0.243855i
$425$	1.54051	−	4.74120i	0.0747257	−	0.229982i
$426$	45.8504	−	17.3656i	2.22146	−	0.841368i
$427$	−0.425692	+	0.309283i	−0.0206007	+	0.0149673i
$428$	−15.0115			−0.725610
$429$	−35.7022	−	7.89794i	−1.72372	−	0.381316i
$430$	13.9737			0.673871
$431$	3.23099	−	2.34745i	0.155631	−	0.113073i	−0.507244	−	0.861802i	$-0.669336\pi$
$431$	3.23099	−	2.34745i	0.155631	−	0.113073i	0.662876	+	0.748729i	$0.269336\pi$
$432$	10.5034	+	21.3158i	0.505344	+	1.02556i
$433$	−5.70952	+	17.5721i	−0.274382	+	0.844462i	0.715000	+	0.699124i	$0.246427\pi$
$433$	−5.70952	+	17.5721i	−0.274382	+	0.844462i	−0.989382	+	0.145337i	$0.953573\pi$
$434$	0.708702	−	0.975445i	0.0340188	−	0.0468228i
$435$	5.24841	−	8.00331i	0.251642	−	0.383729i
$436$	−23.7047	−	7.70211i	−1.13525	−	0.368864i
$437$	−0.735962	−	2.26506i	−0.0352058	−	0.108352i
$438$	6.67752	+	8.32182i	0.319064	+	0.397632i
$439$			8.39604i			0.400721i	0.979722	+	0.200361i	$0.0642113\pi$
$439$			8.39604i			0.400721i	−0.979722	+	0.200361i	$0.935789\pi$
$440$	0.106679	+	2.19524i	0.00508574	+	0.104654i
$441$	20.8829	−	2.00634i	0.994422	−	0.0955398i
$442$	−35.6497	−	49.0677i	−1.69569	−	2.33391i
$443$	8.93063	−	2.90174i	0.424307	−	0.137866i	−0.0890769	−	0.996025i	$-0.528392\pi$
$443$	8.93063	−	2.90174i	0.424307	−	0.137866i	0.513384	+	0.858159i	$0.328392\pi$
$444$	−2.87997	+	10.5592i	−0.136677	+	0.501118i
$445$	3.14683	+	2.28631i	0.149174	+	0.108381i
$446$	−21.6212	−	15.7087i	−1.02379	−	0.743831i
$447$	6.21695	−	22.7940i	0.294052	−	1.07812i
$448$	−0.399834	+	0.129914i	−0.0188904	+	0.00613785i
$449$	11.3788	+	15.6616i	0.537000	+	0.739117i	0.988177	−	0.153317i	$-0.0489957\pi$
$449$	11.3788	+	15.6616i	0.537000	+	0.739117i	−0.451177	+	0.892434i	$0.648996\pi$
$450$	5.70780	−	0.548381i	0.269068	−	0.0258509i
$451$	14.5980	−	11.7296i	0.687391	−	0.552324i
$452$		−	23.4282i		−	1.10197i
$453$	−14.9207	−	18.5948i	−0.701035	−	0.873660i
$454$	−16.4081	−	50.4990i	−0.770072	−	2.37004i
$455$	0.506205	+	0.164476i	0.0237313	+	0.00771075i
$456$	1.28126	−	1.95380i	0.0600005	−	0.0914949i
$457$	−21.5440	+	29.6528i	−1.00779	+	1.38710i	−0.0873627	+	0.996177i	$0.527844\pi$
$457$	−21.5440	+	29.6528i	−1.00779	+	1.38710i	−0.920424	+	0.390922i	$0.872156\pi$
$458$	9.57693	−	29.4748i	0.447501	−	1.37726i
$459$	11.4496	+	23.2361i	0.534422	+	1.08457i
$460$	−1.56490	+	1.13697i	−0.0729638	+	0.0530113i
$461$	4.19101			0.195195			0.0975975	−	0.995226i	$-0.468884\pi$
$461$	4.19101			0.195195			0.0975975	+	0.995226i	$0.468884\pi$
$462$	−0.465629	+	0.791305i	−0.0216630	+	0.0368148i
$463$	−15.7036			−0.729810			−0.364905	−	0.931045i	$-0.618899\pi$
$463$	−15.7036			−0.729810			−0.364905	+	0.931045i	$0.618899\pi$
$464$	−20.4438	+	14.8533i	−0.949081	+	0.689548i
$465$	12.2193	−	4.62801i	0.566658	−	0.214619i
$466$	12.0181	−	36.9880i	0.556730	−	1.71344i
$467$	−17.0274	+	23.4362i	−0.787936	+	1.08450i	0.206426	+	0.978462i	$0.433817\pi$
$467$	−17.0274	+	23.4362i	−0.787936	+	1.08450i	−0.994362	+	0.106038i	$0.966183\pi$
$468$	16.0291	−	27.1989i	0.740947	−	1.25727i
$469$	−0.190127	−	0.0617759i	−0.00877924	−	0.00285255i
$470$	2.06070	+	6.34219i	0.0950532	+	0.292544i
$471$	−22.8028	+	18.2972i	−1.05070	+	0.843091i
$472$		−	0.339120i		−	0.0156093i
$473$	−22.6698	+	8.60335i	−1.04236	+	0.395582i
$474$	0.945933	+	19.7368i	0.0434482	+	0.906539i
$475$	−1.19650	−	1.64685i	−0.0548994	−	0.0755625i
$476$	−0.655462	+	0.212972i	−0.0300430	+	0.00976157i
$477$	27.4310	+	6.08739i	1.25598	+	0.278722i
$478$	−6.48589	−	4.71228i	−0.296658	−	0.215534i
$479$	26.8842	+	19.5325i	1.22837	+	0.892463i	0.996767	−	0.0803480i	$-0.0256032\pi$
$479$	26.8842	+	19.5325i	1.22837	+	0.892463i	0.231602	+	0.972811i	$0.425603\pi$
$480$	−12.3917	−	3.37978i	−0.565602	−	0.154265i
$481$	−23.1377	+	7.51789i	−1.05499	+	0.342786i
$482$	−7.61364	−	10.4793i	−0.346792	−	0.477318i
$483$	0.169257	−	0.00811207i	0.00770147	−	0.000369112i
$484$	7.27047	+	16.6698i	0.330476	+	0.757717i
$485$		−	1.23818i		−	0.0562229i
$486$	−19.2634	+	22.7305i	−0.873805	+	1.03107i
$487$	0.524740	+	1.61498i	0.0237782	+	0.0731819i	0.962241	−	0.272197i	$-0.0877503\pi$
$487$	0.524740	+	1.61498i	0.0237782	+	0.0731819i	−0.938463	+	0.345379i	$0.887750\pi$
$488$	3.96584	+	1.28858i	0.179525	+	0.0583312i
$489$	−6.66012	−	4.36757i	−0.301181	−	0.197508i
$490$	−7.85643	+	10.8134i	−0.354917	+	0.488502i
$491$	−4.38783	+	13.5044i	−0.198020	+	0.609443i	0.801908	+	0.597448i	$0.203818\pi$
$491$	−4.38783	+	13.5044i	−0.198020	+	0.609443i	−0.999928	+	0.0119956i	$0.996182\pi$
$492$	5.72680	+	15.1204i	0.258184	+	0.681682i
$493$	−22.2856	+	16.1914i	−1.00369	+	0.729226i
$494$	−24.7657			−1.11426
$495$	−8.92223	+	4.40384i	−0.401025	+	0.197938i
$496$	−34.4997			−1.54908
$497$	1.00187	−	0.727904i	0.0449402	−	0.0326510i
$498$	−2.41791	−	6.38400i	−0.108349	−	0.286074i
$499$	9.52770	−	29.3233i	0.426519	−	1.31269i	−0.475014	−	0.879978i	$-0.657557\pi$
$499$	9.52770	−	29.3233i	0.426519	−	1.31269i	0.901533	−	0.432711i	$-0.142443\pi$
$500$	−0.971784	+	1.33755i	−0.0434595	+	0.0598169i
$501$	−8.57181	−	5.62122i	−0.382960	−	0.251138i
$502$	26.2724	+	8.53643i	1.17260	+	0.380999i
$503$	7.52637	+	23.1638i	0.335584	+	1.03282i	0.966433	+	0.256917i	$0.0827067\pi$
$503$	7.52637	+	23.1638i	0.335584	+	1.03282i	−0.630849	+	0.775906i	$0.717293\pi$
$504$	0.110125	+	0.124527i	0.00490538	+	0.00554688i
$505$		−	4.87606i		−	0.216982i
$506$	4.06310	−	6.20484i	0.180627	−	0.275839i
$507$	47.6043	−	2.28156i	2.11418	−	0.101327i
$508$	−11.1578	−	15.3574i	−0.495048	−	0.681375i
$509$	−4.66916	+	1.51710i	−0.206957	+	0.0672444i	−0.410661	−	0.911788i	$-0.634702\pi$
$509$	−4.66916	+	1.51710i	−0.206957	+	0.0672444i	0.203704	+	0.979033i	$0.434702\pi$
$510$	−15.9223	−	4.34271i	−0.705049	−	0.192299i
$511$	0.218028	+	0.158407i	0.00964501	+	0.00700751i
$512$	22.5331	+	16.3712i	0.995830	+	0.723513i
$513$	10.4240	+	1.79458i	0.460232	+	0.0792325i
$514$	−41.3357	+	13.4308i	−1.82324	+	0.592406i
$515$	5.34118	+	7.35151i	0.235361	+	0.323946i
$516$	−1.00223	−	20.9114i	−0.0441207	−	0.920571i
$517$	−7.24789	−	9.02031i	−0.318762	−	0.396713i
$518$			0.610873i			0.0268402i
$519$	17.0780	−	13.7036i	0.749641	−	0.601521i
$520$	−1.30345	−	4.01160i	−0.0571600	−	0.175920i
$521$	−20.3924	−	6.62589i	−0.893408	−	0.290286i	−0.173894	−	0.984764i	$-0.555635\pi$
$521$	−20.3924	−	6.62589i	−0.893408	−	0.290286i	−0.719513	+	0.694479i	$0.755635\pi$
$522$	−27.2970	−	16.0869i	−1.19476	−	0.704105i
$523$	−6.79943	+	9.35861i	−0.297318	+	0.409224i	−0.931374	−	0.364064i	$-0.881389\pi$
$523$	−6.79943	+	9.35861i	−0.297318	+	0.409224i	0.634056	+	0.773287i	$0.281389\pi$
$524$	8.75418	−	26.9426i	0.382428	−	1.17699i
$525$	0.135444	−	0.0512988i	0.00591126	−	0.00223886i
$526$	−27.5171	+	19.9923i	−1.19980	+	0.871706i
$527$	−37.6077			−1.63822
$528$	26.1489	−	2.52987i	1.13799	−	0.110099i
$529$	21.6312			0.940485
$530$	−14.4830	+	10.5225i	−0.629102	+	0.457070i
$531$	1.40804	−	0.611878i	0.0611036	−	0.0265533i
$532$	−0.0869634	+	0.267646i	−0.00377034	+	0.0116039i
$533$	−21.1248	+	29.0758i	−0.915016	+	1.25941i
$534$	7.06158	−	10.7682i	0.305585	−	0.465986i
$535$	−8.63536	−	2.80580i	−0.373339	−	0.121305i
$536$	0.489565	+	1.50673i	0.0211460	+	0.0650807i
$537$	27.5981	+	34.3940i	1.19095	+	1.48421i
$538$		−	28.9793i		−	1.24939i
$539$	6.08798	−	22.3799i	0.262228	−	0.963971i
$540$	−1.23002	−	8.50228i	−0.0529316	−	0.365880i
$541$	18.4656	+	25.4157i	0.793899	+	1.09271i	0.993612	+	0.112853i	$0.0359991\pi$
$541$	18.4656	+	25.4157i	0.793899	+	1.09271i	−0.199713	+	0.979854i	$0.564001\pi$
$542$	−24.0746	+	7.82230i	−1.03409	+	0.335996i
$543$	6.06591	−	22.2402i	0.260313	−	0.954420i
$544$	29.9083	+	21.7296i	1.28231	+	0.931651i
$545$	−12.1965	−	8.86125i	−0.522439	−	0.379574i
$546$	0.463659	−	1.69997i	0.0198428	−	0.0727522i
$547$	13.6415	−	4.43238i	0.583267	−	0.189515i	−0.00249660	−	0.999997i	$-0.500795\pi$
$547$	13.6415	−	4.43238i	0.583267	−	0.189515i	0.585764	+	0.810482i	$0.300795\pi$
$548$	15.1103	+	20.7975i	0.645480	+	0.888427i
$549$	1.80538	+	18.7913i	0.0770519	+	0.801992i
$550$	1.66399	−	6.11698i	0.0709529	−	0.260829i
$551$			11.2481i			0.479186i
$552$	−0.840428	−	1.04738i	−0.0357710	−	0.0445794i
$553$	0.154227	+	0.474662i	0.00655840	+	0.0201847i
$554$	9.68640	+	3.14730i	0.411536	+	0.133716i
$555$	−3.63031	+	5.53587i	−0.154098	+	0.234985i
$556$	4.10442	−	5.64925i	0.174066	−	0.239581i
$557$	−3.41673	+	10.5156i	−0.144771	+	0.445561i	−0.996982	−	0.0776391i	$-0.975262\pi$
$557$	−3.41673	+	10.5156i	−0.144771	+	0.445561i	0.852210	+	0.523200i	$0.175262\pi$
$558$	−17.2404	−	39.6731i	−0.729844	−	1.67950i
$559$	37.6478	−	27.3527i	1.59233	−	1.15690i
$560$	−0.382409			−0.0161597
$561$	28.5047	−	2.75779i	1.20347	−	0.116434i
$562$	13.5208			0.570340
$563$	0.592796	−	0.430692i	0.0249834	−	0.0181515i	−0.575223	−	0.817996i	$-0.695085\pi$
$563$	0.592796	−	0.430692i	0.0249834	−	0.0181515i	0.600207	+	0.799845i	$0.295085\pi$
$564$	9.34317	−	3.53868i	0.393418	−	0.149005i
$565$	4.37895	−	13.4770i	0.184224	−	0.566983i
$566$	11.9380	−	16.4312i	0.501790	−	0.690654i
$567$	−0.318340	+	0.681930i	−0.0133690	+	0.0286384i
$568$	−9.33368	−	3.03270i	−0.391633	−	0.127249i
$569$	−12.8677	−	39.6026i	−0.539441	−	1.66023i	−0.733853	−	0.679308i	$-0.762280\pi$
$569$	−12.8677	−	39.6026i	−0.539441	−	1.66023i	0.194412	−	0.980920i	$-0.437720\pi$
$570$	−5.25613	+	4.21757i	−0.220155	+	0.176655i
$571$			28.1587i			1.17841i	0.807985	+	0.589203i	$0.200558\pi$
$571$			28.1587i			1.17841i	−0.807985	+	0.589203i	$0.799442\pi$
$572$	−21.8618	−	27.2079i	−0.914086	−	1.13762i
$573$	−0.487215	−	10.1657i	−0.0203537	−	0.424676i
$574$	0.530432	+	0.730077i	0.0221398	+	0.0304728i
$575$	−1.11271	+	0.361543i	−0.0464034	+	0.0150774i
$576$	−3.26767	+	14.7248i	−0.136153	+	0.613531i
$577$	5.10060	+	3.70581i	0.212341	+	0.154275i	0.688872	−	0.724883i	$-0.258106\pi$
$577$	5.10060	+	3.70581i	0.212341	+	0.154275i	−0.476531	+	0.879158i	$0.658106\pi$
$578$	12.1420	+	8.82169i	0.505041	+	0.366934i
$579$	−23.4079	−	6.38439i	−0.972801	−	0.265326i
$580$	8.68844	−	2.82305i	0.360768	−	0.117221i
$581$	−0.101350	−	0.139496i	−0.00420471	−	0.00578729i
$582$	−4.09439	+	0.196234i	−0.169718	+	0.00813415i
$583$	17.0175	−	25.9878i	0.704794	−	1.07631i
$584$		−	2.13573i		−	0.0883772i
$585$	14.3045	−	12.6501i	0.591417	−	0.523018i
$586$	14.0825	+	43.3413i	0.581741	+	1.79041i
$587$	−22.5752	−	7.33512i	−0.931778	−	0.302753i	−0.196488	−	0.980506i	$-0.562954\pi$
$587$	−22.5752	−	7.33512i	−0.931778	−	0.302753i	−0.735290	+	0.677753i	$0.762954\pi$
$588$	16.7456	+	10.9814i	0.690577	+	0.452866i
$589$	−9.02629	+	12.4236i	−0.371922	+	0.511906i
$590$	−0.302260	+	0.930260i	−0.0124438	+	0.0382982i
$591$	10.6282	+	28.0617i	0.437188	+	1.15431i
$592$	14.1410	−	10.2740i	0.581190	−	0.422259i
$593$	9.42227			0.386926			0.193463	−	0.981108i	$-0.438028\pi$
$593$	9.42227			0.386926			0.193463	+	0.981108i	$0.438028\pi$
$594$	15.9765	+	28.8059i	0.655526	+	1.18192i
$595$	−0.416859			−0.0170896
$596$	18.2453	−	13.2560i	0.747355	−	0.542985i
$597$	3.20858	+	8.47161i	0.131318	+	0.346720i
$598$	−4.39861	+	13.5375i	−0.179872	+	0.553591i
$599$	20.6600	−	28.4360i	0.844143	−	1.16186i	−0.140980	−	0.990012i	$-0.545025\pi$
$599$	20.6600	−	28.4360i	0.844143	−	1.16186i	0.985123	−	0.171851i	$-0.0549747\pi$
$600$	−0.959807	−	0.629422i	−0.0391840	−	0.0256960i
$601$	3.81011	+	1.23798i	0.155418	+	0.0504983i	0.385693	−	0.922627i	$-0.373963\pi$
$601$	3.81011	+	1.23798i	0.155418	+	0.0504983i	−0.230275	+	0.973126i	$0.573963\pi$
$602$	−0.361078	−	1.11128i	−0.0147164	−	0.0452925i
$603$	−5.37265	+	4.75129i	−0.218791	+	0.193488i
$604$		−	22.7570i		−	0.925969i
$605$	1.06659	+	10.9482i	0.0433629	+	0.445106i
$606$	−16.1240	+	0.772785i	−0.654995	+	0.0313923i
$607$	5.10125	+	7.02127i	0.207053	+	0.284985i	0.899896	−	0.436104i	$-0.143642\pi$
$607$	5.10125	+	7.02127i	0.207053	+	0.284985i	−0.692843	+	0.721089i	$0.743642\pi$
$608$	14.3567	−	4.66476i	0.582240	−	0.189181i
$609$	−0.772096	−	0.210585i	−0.0312869	−	0.00853335i
$610$	−9.73039	−	7.06954i	−0.393972	−	0.286237i
$611$	17.9664	+	13.0534i	0.726843	+	0.528082i
$612$	−5.35680	+	24.1388i	−0.216536	+	0.975754i
$613$	−9.84894	+	3.20012i	−0.397795	+	0.129251i	−0.501081	−	0.865400i	$-0.667064\pi$
$613$	−9.84894	+	3.20012i	−0.397795	+	0.129251i	0.103286	+	0.994652i	$0.467064\pi$
$614$	−6.74097	−	9.27814i	−0.272043	−	0.374435i
$615$	0.468175	+	9.76840i	0.0188786	+	0.393900i
$616$	0.171824	−	0.0652086i	0.00692299	−	0.00262733i
$617$			18.0114i			0.725113i	0.931962	+	0.362556i	$0.118096\pi$
$617$			18.0114i			0.725113i	−0.931962	+	0.362556i	$0.881904\pi$
$618$	23.4633	−	18.8272i	0.943832	−	0.757342i
$619$	0.946401	+	2.91272i	0.0380390	+	0.117072i	0.968273	−	0.249895i	$-0.0803961\pi$
$619$	0.946401	+	2.91272i	0.0380390	+	0.117072i	−0.930234	+	0.366967i	$0.880396\pi$
$620$	11.8619	+	3.85415i	0.476384	+	0.154786i
$621$	2.83235	−	5.37928i	0.113658	−	0.215863i
$622$	−23.4289	+	32.2471i	−0.939414	+	1.29299i
$623$	0.100509	−	0.309335i	0.00402681	−	0.0123933i
$624$	−47.1504	+	17.8580i	−1.88753	+	0.714892i
$625$	−0.809017	+	0.587785i	−0.0323607	+	0.0235114i
$626$	−25.3536			−1.01333
$627$	5.93042	−	10.0783i	0.236838	−	0.402490i
$628$	−27.9069			−1.11361
$629$	15.4149	−	11.1996i	0.614632	−	0.446556i
$630$	−0.191100	−	0.439753i	−0.00761359	−	0.0175202i
$631$	−2.52765	+	7.77932i	−0.100624	+	0.309690i	−0.988679	−	0.150049i	$-0.952057\pi$
$631$	−2.52765	+	7.77932i	−0.100624	+	0.309690i	0.888054	+	0.459739i	$0.152057\pi$
$632$	2.32481	−	3.19983i	0.0924761	−	0.127282i
$633$	21.3044	−	32.4871i	0.846772	−	1.29124i
$634$	45.1352	+	14.6653i	1.79255	+	0.582435i
$635$	−3.54807	−	10.9198i	−0.140801	−	0.433340i
$636$	16.7855	+	20.9189i	0.665589	+	0.829487i
$637$			44.5120i			1.76363i
$638$	−27.3060	+	21.9406i	−1.08105	+	0.868635i
$639$	−4.24901	−	44.2257i	−0.168088	−	1.74954i
$640$	3.06925	+	4.22446i	0.121323	+	0.166986i
$641$	32.2901	−	10.4917i	1.27538	−	0.414397i	0.408431	−	0.912789i	$-0.366076\pi$
$641$	32.2901	−	10.4917i	1.27538	−	0.414397i	0.866951	+	0.498393i	$0.166076\pi$
$642$	−7.90957	+	28.9999i	−0.312166	+	1.14453i
$643$	−32.1737	−	23.3756i	−1.26881	−	0.921842i	−0.269652	−	0.962958i	$-0.586909\pi$
$643$	−32.1737	−	23.3756i	−1.26881	−	0.921842i	−0.999154	+	0.0411155i	$0.986909\pi$
$644$	0.130856	+	0.0950725i	0.00515645	+	0.00374638i
$645$	3.33200	−	12.2165i	0.131197	−	0.481026i
$646$	18.4470	−	5.99381i	0.725789	−	0.235823i
$647$	−18.2468	−	25.1146i	−0.717356	−	0.987356i	−0.999607	−	0.0280154i	$-0.991081\pi$
$647$	−18.2468	−	25.1146i	−0.717356	−	0.987356i	0.282251	−	0.959340i	$-0.408919\pi$
$648$	5.85495	−	1.13552i	0.230004	−	0.0446074i
$649$	−0.0823829	−	1.69527i	−0.00323381	−	0.0665453i
$650$			12.1662i			0.477198i
$651$	−0.683797	−	0.852178i	−0.0268001	−	0.0333995i
$652$	−2.34925	−	7.23026i	−0.0920039	−	0.283159i
$653$	−5.73332	−	1.86287i	−0.224362	−	0.0728997i	0.194679	−	0.980867i	$-0.437634\pi$
$653$	−5.73332	−	1.86287i	−0.224362	−	0.0728997i	−0.419041	+	0.907967i	$0.637634\pi$
$654$	−27.3692	+	41.7354i	−1.07022	+	1.63198i
$655$	10.0717	−	13.8624i	0.393532	−	0.541650i
$656$	7.97928	−	24.5577i	0.311538	−	0.958817i
$657$	8.86762	−	3.85352i	0.345959	−	0.150340i
$658$	0.451126	−	0.327762i	0.0175867	−	0.0127775i
$659$	−0.761781			−0.0296748			−0.0148374	−	0.999890i	$-0.504723\pi$
$659$	−0.761781			−0.0296748			−0.0148374	+	0.999890i	$0.504723\pi$
$660$	−9.27328	−	2.05141i	−0.360962	−	0.0798510i
$661$	15.6863			0.610127			0.305064	−	0.952332i	$-0.401322\pi$
$661$	15.6863			0.610127			0.305064	+	0.952332i	$0.401322\pi$
$662$	6.98541	−	5.07520i	0.271496	−	0.197253i
$663$	−51.3982	+	19.4668i	−1.99614	+	0.756028i
$664$	−0.422259	+	1.29958i	−0.0163868	+	0.0504335i
$665$	−0.100051	+	0.137708i	−0.00387981	+	0.00534010i
$666$	18.8813	+	11.1273i	0.731634	+	0.431174i
$667$	6.14849	+	1.99776i	0.238070	+	0.0773537i
$668$	−3.02358	−	9.30561i	−0.116986	−	0.360045i
$669$	−18.8890	+	15.1567i	−0.730289	+	0.585992i
$670$		−	4.56954i		−	0.176537i
$671$	20.1384	+	5.47822i	0.777433	+	0.211484i
$672$	0.0514169	+	1.07281i	0.00198345	+	0.0413844i
$673$	22.6575	+	31.1853i	0.873382	+	1.20211i	0.978210	+	0.207617i	$0.0665706\pi$
$673$	22.6575	+	31.1853i	0.873382	+	1.20211i	−0.104829	+	0.994490i	$0.533429\pi$
$674$	−14.9003	+	4.84139i	−0.573937	+	0.186483i
$675$	0.881590	−	5.12082i	0.0339324	−	0.197100i
$676$	36.8038	+	26.7395i	1.41553	+	1.02844i
$677$	−5.58785	−	4.05981i	−0.214759	−	0.156031i	0.475205	−	0.879875i	$-0.342374\pi$
$677$	−5.58785	−	4.05981i	−0.214759	−	0.156031i	−0.689964	+	0.723844i	$0.742374\pi$
$678$	−45.2596	−	12.3443i	−1.73818	−	0.474080i
$679$	−0.0984686	+	0.0319944i	−0.00377888	+	0.00122783i
$680$	1.94178	+	2.67263i	0.0744638	+	0.102491i
$681$	−48.0614	+	2.30346i	−1.84172	+	0.0882689i
$682$	−47.7663	+	2.32124i	−1.82907	+	0.0888847i
$683$		−	35.0465i		−	1.34102i	−0.741902	−	0.670509i	$-0.766076\pi$
$683$		−	35.0465i		−	1.34102i	0.741902	−	0.670509i	$-0.233924\pi$
$684$	6.68850	+	7.56320i	0.255741	+	0.289186i
$685$	4.80491	+	14.7880i	0.183586	+	0.565020i
$686$	2.12700	+	0.691104i	0.0812092	+	0.0263865i
$687$	−23.4848	−	15.4009i	−0.896001	−	0.587579i
$688$	−19.6520	+	27.0487i	−0.749227	+	1.03122i
$689$	−18.4227	+	56.6994i	−0.701850	+	2.16007i
$690$	1.37189	+	3.62220i	0.0522270	+	0.137895i
$691$	23.9520	−	17.4021i	0.911177	−	0.662009i	−0.0301354	−	0.999546i	$-0.509594\pi$
$691$	23.9520	−	17.4021i	0.911177	−	0.662009i	0.941312	+	0.337537i	$0.109594\pi$
$692$	20.9007			0.794525
$693$	0.580772	+	0.595762i	0.0220617	+	0.0226311i
$694$	−35.1290			−1.33348
$695$	3.41695	−	2.48256i	0.129612	−	0.0941690i
$696$	2.24638	+	5.93110i	0.0851487	+	0.224818i
$697$	8.69812	−	26.7701i	0.329465	−	1.01399i
$698$	−10.8500	+	14.9337i	−0.410678	+	0.565250i
$699$	−29.4712	−	19.3266i	−1.11470	−	0.731000i
$700$	0.131482	+	0.0427210i	0.00496954	+	0.00161470i
$701$	−4.50365	−	13.8608i	−0.170100	−	0.523515i	0.829275	−	0.558840i	$-0.188753\pi$
$701$	−4.50365	−	13.8608i	−0.170100	−	0.523515i	−0.999376	+	0.0353247i	$0.988753\pi$
$702$	−44.0982	−	45.2968i	−1.66438	−	1.70962i
$703$		−	7.78030i		−	0.293440i
$704$	13.9501	+	9.13489i	0.525763	+	0.344284i
$705$	6.03605	−	0.289293i	0.227331	−	0.0108954i
$706$	5.41563	+	7.45397i	0.203820	+	0.280534i
$707$	−0.387778	+	0.125997i	−0.0145839	+	0.00473859i
$708$	1.41379	+	0.385605i	0.0531336	+	0.0144919i
$709$	−26.0854	−	18.9521i	−0.979657	−	0.711763i	−0.0220255	−	0.999757i	$-0.507011\pi$
$709$	−26.0854	−	18.9521i	−0.979657	−	0.711763i	−0.957632	+	0.287995i	$0.907011\pi$
$710$	22.9007	+	16.6383i	0.859448	+	0.624425i
$711$	17.4805	+	3.87921i	0.655569	+	0.145482i
$712$	−2.45144	+	0.796520i	−0.0918715	+	0.0298509i
$713$	5.18790	+	7.14053i	0.194288	+	0.267415i
$714$	0.0660662	+	1.37846i	0.00247247	+	0.0515876i
$715$	−7.49052	−	19.7375i	−0.280129	−	0.738139i
$716$			42.0926i			1.57307i
$717$	−5.66627	+	4.54668i	−0.211611	+	0.169799i
$718$	−8.10558	−	24.9464i	−0.302497	−	0.930992i
$719$	30.1717	+	9.80339i	1.12522	+	0.365605i	0.811756	−	0.583997i	$-0.198512\pi$
$719$	30.1717	+	9.80339i	1.12522	+	0.365605i	0.313460	+	0.949601i	$0.398512\pi$
$720$	−6.96572	+	11.8197i	−0.259597	+	0.440496i
$721$	0.446627	−	0.614729i	0.0166333	−	0.0228937i
$722$	−8.77475	+	27.0059i	−0.326562	+	1.00506i
$723$	−10.9770	+	4.15749i	−0.408239	+	0.154619i
$724$	17.8020	−	12.9339i	0.661606	−	0.480685i
$725$	5.52566			0.205218
$726$	36.0341	−	5.26209i	1.33735	−	0.195294i
$727$	29.3541			1.08868			0.544342	−	0.838863i	$-0.316779\pi$
$727$	29.3541			1.08868			0.544342	+	0.838863i	$0.316779\pi$
$728$	−0.285349	+	0.207318i	−0.0105757	+	0.00768372i
$729$	15.2789	+	22.2611i	0.565883	+	0.824485i
$730$	−1.90359	+	5.85864i	−0.0704550	+	0.216838i
$731$	−21.4225	+	29.4855i	−0.792339	+	1.09056i
$732$	−9.88155	+	15.0684i	−0.365232	+	0.556944i
$733$	17.2935	+	5.61901i	0.638751	+	0.207543i	0.610448	−	0.792057i	$-0.290990\pi$
$733$	17.2935	+	5.61901i	0.638751	+	0.207543i	0.0283034	+	0.999599i	$0.490990\pi$
$734$	−0.694557	−	2.13763i	−0.0256366	−	0.0789012i
$735$	7.58034	+	9.44695i	0.279605	+	0.348456i
$736$		−	8.67619i		−	0.319809i
$737$	2.81338	+	7.41324i	0.103632	+	0.273070i
$738$	32.2277	−	3.09630i	1.18632	−	0.113976i
$739$	21.1326	+	29.0865i	0.777374	+	1.06996i	0.995567	+	0.0940582i	$0.0299840\pi$
$739$	21.1326	+	29.0865i	0.777374	+	1.06996i	−0.218192	+	0.975906i	$0.570016\pi$
$740$	−6.00978	+	1.95269i	−0.220924	+	0.0717825i
$741$	−5.90534	+	21.6515i	−0.216938	+	0.795388i
$742$	1.21106	+	0.879888i	0.0444595	+	0.0323017i
$743$	13.9366	+	10.1255i	0.511284	+	0.371470i	0.813311	−	0.581830i	$-0.197663\pi$
$743$	13.9366	+	10.1255i	0.511284	+	0.371470i	−0.302026	+	0.953300i	$0.597663\pi$
$744$	−2.27840	+	8.35359i	−0.0835302	+	0.306257i
$745$	12.9732	−	4.21525i	0.475302	−	0.154435i
$746$	5.23818	+	7.20973i	0.191783	+	0.263967i
$747$	−6.15778	+	0.591613i	−0.225301	+	0.0216460i
$748$	22.8689	+	14.9751i	0.836168	+	0.547545i
$749$			0.759244i			0.0277422i
$750$	2.07189	+	2.58208i	0.0756548	+	0.0942844i
$751$	−10.7362	−	33.0427i	−0.391770	−	1.20574i	−0.931448	−	0.363873i	$-0.881454\pi$
$751$	−10.7362	−	33.0427i	−0.391770	−	1.20574i	0.539678	−	0.841871i	$-0.318546\pi$
$752$	−15.1746	−	4.93053i	−0.553361	−	0.179798i
$753$	13.7276	−	20.9332i	0.500262	−	0.762850i
$754$	39.5147	−	54.3873i	1.43904	−	1.98067i
$755$	4.25350	−	13.0909i	0.154801	−	0.476427i
$756$	−0.644376	+	0.317517i	−0.0234357	+	0.0115480i
$757$	40.7389	−	29.5985i	1.48068	−	1.07578i	0.503344	−	0.864086i	$-0.332103\pi$
$757$	40.7389	−	29.5985i	1.48068	−	1.07578i	0.977337	−	0.211691i	$-0.0678972\pi$
$758$	68.3790			2.48364
$759$	−4.45577	−	5.03171i	−0.161734	−	0.182639i
$760$	1.34894			0.0489313
$761$	11.5743	−	8.40921i	0.419568	−	0.304834i	−0.357896	−	0.933761i	$-0.616506\pi$
$761$	11.5743	−	8.40921i	0.419568	−	0.304834i	0.777464	+	0.628928i	$0.216506\pi$
$762$	−35.5471	+	13.4633i	−1.28774	+	0.487724i
$763$	−0.389552	+	1.19892i	−0.0141027	+	0.0434038i
$764$	5.71009	−	7.85927i	0.206584	−	0.284338i
$765$	−7.59326	+	12.8846i	−0.274535	+	0.465843i
$766$	−13.3463	−	4.33648i	−0.482222	−	0.156683i
$767$	1.00659	+	3.09795i	0.0363457	+	0.111861i
$768$	27.0668	−	21.7187i	0.976688	−	0.783706i
$769$		−	2.50908i		−	0.0904798i	−0.998976	−	0.0452399i	$-0.985595\pi$
$769$		−	2.50908i		−	0.0904798i	0.998976	−	0.0452399i	$-0.0144052\pi$
$770$	−0.529461	+	0.0257295i	−0.0190805	+	0.000927228i
$771$	1.88549	+	39.3404i	0.0679041	+	1.41681i
$772$	−13.6130	−	18.7367i	−0.489942	−	0.674347i
$773$	−27.0027	+	8.77372i	−0.971221	+	0.315569i	−0.751309	−	0.659951i	$-0.770577\pi$
$773$	−27.0027	+	8.77372i	−0.971221	+	0.315569i	−0.219912	+	0.975520i	$0.570577\pi$
$774$	−40.9255	−	9.08203i	−1.47104	−	0.326447i
$775$	6.10313	+	4.43418i	0.219231	+	0.159281i
$776$	0.663805	+	0.482282i	0.0238292	+	0.0173129i
$777$	0.534057	+	0.145661i	0.0191592	+	0.00522557i
$778$	37.3414	−	12.1330i	1.33876	−	0.434988i
$779$	−6.75577	−	9.29853i	−0.242051	−	0.333154i
$780$	18.2065	−	0.872592i	0.651897	−	0.0312438i
$781$	−47.3961	−	12.8931i	−1.69597	−	0.461352i
$782$		−	11.1481i		−	0.398657i
$783$	−20.5729	+	20.0286i	−0.735217	+	0.715763i
$784$	−9.88250	−	30.4152i	−0.352946	−	1.08626i
$785$	−16.0534	−	5.21606i	−0.572970	−	0.186169i
$786$	−47.4362	−	31.1077i	−1.69199	−	1.10958i
$787$	12.3230	−	16.9611i	0.439267	−	0.604599i	−0.530782	−	0.847508i	$-0.678102\pi$
$787$	12.3230	−	16.9611i	0.439267	−	0.604599i	0.970049	+	0.242909i	$0.0781016\pi$
$788$	−8.85107	+	27.2408i	−0.315306	+	0.970413i
$789$	10.9170	+	28.8240i	0.388654	+	1.02616i
$790$	−9.22935	+	6.70552i	−0.328366	+	0.238572i
$791$	−1.18494			−0.0421315
$792$	1.11433	−	6.49865i	0.0395962	−	0.230920i
$793$	−40.0537			−1.42235
$794$	−39.7792	+	28.9013i	−1.41171	+	1.02567i
$795$	5.74591	+	15.1709i	0.203786	+	0.538056i
$796$	−2.67207	+	8.22377i	−0.0947088	+	0.291484i
$797$	32.6446	−	44.9314i	1.15633	−	1.59155i	0.432399	−	0.901682i	$-0.357667\pi$
$797$	32.6446	−	44.9314i	1.15633	−	1.59155i	0.723932	−	0.689871i	$-0.242333\pi$
$798$	0.471228	+	0.309022i	0.0166813	+	0.0109392i
$799$	−16.5417	−	5.37471i	−0.585202	−	0.190144i
$800$	−2.29157	−	7.05274i	−0.0810194	−	0.249352i
$801$	−7.73033	−	8.74127i	−0.273138	−	0.308858i
$802$			3.40555i			0.120254i
$803$	−0.518836	−	10.6766i	−0.0183093	−	0.376768i
$804$	−6.83822	+	0.327739i	−0.241166	+	0.0115585i
$805$	0.0575047	+	0.0791485i	0.00202678	+	0.00278962i
$806$	87.2885	−	28.3617i	3.07460	−	0.999000i
$807$	−25.3353	−	6.91006i	−0.891843	−	0.243246i
$808$	2.61412	+	1.89927i	0.0919644	+	0.0668160i
$809$	−13.0183	−	9.45836i	−0.457700	−	0.332538i	0.334929	−	0.942244i	$-0.391288\pi$
$809$	−13.0183	−	9.45836i	−0.457700	−	0.332538i	−0.792628	+	0.609705i	$0.791288\pi$
$810$	−17.0731	−	2.10365i	−0.599889	−	0.0739146i
$811$	−34.2568	+	11.1307i	−1.20292	+	0.390852i	−0.840834	−	0.541293i	$-0.817935\pi$
$811$	−34.2568	+	11.1307i	−1.20292	+	0.390852i	−0.362085	+	0.932145i	$0.617935\pi$
$812$	−0.449016	−	0.618017i	−0.0157574	−	0.0216882i
$813$	1.09814	+	22.9125i	0.0385133	+	0.803575i
$814$	18.8875	−	15.1762i	0.662006	−	0.531927i
$815$		−	4.59829i		−	0.161071i
$816$	30.7986	−	24.7131i	1.07817	−	0.865132i
$817$	4.59882	+	14.1537i	0.160892	+	0.495176i
$818$	−38.8158	−	12.6120i	−1.35716	−	0.440969i
$819$	−1.37565	−	0.810711i	−0.0480691	−	0.0283285i
$820$	−5.48695	+	7.55214i	−0.191613	+	0.263732i
$821$	4.47957	−	13.7867i	0.156338	−	0.481159i	−0.841956	−	0.539546i	$-0.818596\pi$
$821$	4.47957	−	13.7867i	0.156338	−	0.481159i	0.998294	+	0.0583870i	$0.0185957\pi$
$822$	48.1391	−	18.2325i	1.67904	−	0.635930i
$823$	−9.40983	+	6.83664i	−0.328006	+	0.238310i	−0.739584	−	0.673064i	$-0.764978\pi$
$823$	−9.40983	+	6.83664i	−0.328006	+	0.238310i	0.411578	+	0.911375i	$0.364978\pi$
$824$	−6.02167			−0.209775
$825$	−4.95101	−	2.91333i	−0.172372	−	0.101429i
$826$	0.0817909			0.00284587
$827$	0.915189	−	0.664924i	0.0318242	−	0.0231217i	−0.571759	−	0.820421i	$-0.693739\pi$
$827$	0.915189	−	0.664924i	0.0318242	−	0.0231217i	0.603584	+	0.797300i	$0.293739\pi$
$828$	5.32216	−	2.31280i	0.184958	−	0.0803754i
$829$	−7.96497	+	24.5137i	−0.276635	+	0.851395i	0.712147	+	0.702030i	$0.247723\pi$
$829$	−7.96497	+	24.5137i	−0.276635	+	0.851395i	−0.988782	+	0.149365i	$0.952277\pi$
$830$	2.31664	−	3.18859i	0.0804119	−	0.110677i
$831$	5.06124	−	7.71790i	0.175573	−	0.267731i
$832$	−30.4358	−	9.88919i	−1.05517	−	0.342846i
$833$	−10.7728	−	33.1553i	−0.373255	−	1.14876i
$834$	−8.75082	−	10.9057i	−0.303016	−	0.377632i
$835$		−	5.91817i		−	0.204807i
$836$	10.4358	−	3.96046i	0.360929	−	0.136975i
$837$	−38.7953	+	5.61249i	−1.34096	+	0.193996i
$838$	16.6441	+	22.9087i	0.574962	+	0.791368i
$839$	−18.7616	+	6.09600i	−0.647721	+	0.210457i	−0.614409	−	0.788988i	$-0.710606\pi$
$839$	−18.7616	+	6.09600i	−0.647721	+	0.210457i	−0.0333121	+	0.999445i	$0.510606\pi$
$840$	−0.0252547	+	0.0925946i	−0.000871370	+	0.00319482i
$841$	−1.24018	−	0.901045i	−0.0427649	−	0.0310705i
$842$	−11.4353	−	8.30825i	−0.394087	−	0.286321i
$843$	3.22401	−	11.8206i	0.111041	−	0.407123i
$844$	35.2681	−	11.4593i	1.21398	−	0.394446i
$845$	16.1735	+	22.2609i	0.556384	+	0.765797i
$846$	−1.91325	−	19.9140i	−0.0657790	−	0.684659i
$847$	0.843113	−	0.367721i	0.0289697	−	0.0126350i
$848$		−	42.8331i		−	1.47089i
$849$	−11.5184	−	14.3548i	−0.395312	−	0.492655i
$850$	−2.94447	−	9.06215i	−0.100995	−	0.310829i
$851$	−4.25289	−	1.38185i	−0.145787	−	0.0473692i
$852$	23.2564	−	35.4638i	0.796752	−	1.21497i
$853$	19.3750	−	26.6674i	0.663388	−	0.913075i	−0.336200	−	0.941791i	$-0.609142\pi$
$853$	19.3750	−	26.6674i	0.663388	−	0.913075i	0.999588	+	0.0287160i	$0.00914185\pi$
$854$	−0.310787	+	0.956503i	−0.0106349	+	0.0327309i
$855$	2.43391	+	5.60086i	0.0832381	+	0.191545i
$856$	4.86777	−	3.53664i	0.166377	−	0.120880i
$857$	4.51956			0.154385			0.0771925	−	0.997016i	$-0.475404\pi$
$857$	4.51956			0.154385			0.0771925	+	0.997016i	$0.475404\pi$
$858$	−64.0802	+	27.8976i	−2.18766	+	0.952408i
$859$	−30.3107			−1.03419			−0.517093	−	0.855929i	$-0.672986\pi$
$859$	−30.3107			−1.03419			−0.517093	+	0.855929i	$0.672986\pi$
$860$	9.77862	−	7.10458i	0.333448	−	0.242264i
$861$	0.764752	−	0.289646i	0.0260627	−	0.00987112i
$862$	2.35887	−	7.25985i	0.0803433	−	0.247271i
$863$	−28.9502	+	39.8465i	−0.985475	+	1.35639i	−0.0516483	+	0.998665i	$0.516447\pi$
$863$	−28.9502	+	39.8465i	−0.985475	+	1.35639i	−0.933827	+	0.357725i	$0.883553\pi$
$864$	34.0956	+	17.9524i	1.15996	+	0.610752i
$865$	12.0231	+	3.90654i	0.408797	+	0.132826i
$866$	10.9130	+	33.5866i	0.370837	+	1.14132i
$867$	10.6076	−	8.51168i	0.360254	−	0.289072i
$868$		−	1.04293i		−	0.0353992i
$869$	10.8445	−	16.5608i	0.367873	−	0.561787i
$870$	−0.875738	−	18.2721i	−0.0296903	−	0.619483i
$871$	−8.94461	−	12.3112i	−0.303076	−	0.417149i
$872$	9.50125	−	3.08714i	0.321753	−	0.104544i
$873$	−0.804741	+	3.62632i	−0.0272364	+	0.122732i
$874$	−3.68276	−	2.67568i	−0.124571	−	0.0905062i
$875$	0.0676496	+	0.0491503i	0.00228697	+	0.00166158i
$876$	8.90388	+	2.42849i	0.300834	+	0.0820510i
$877$	3.90386	−	1.26844i	0.131824	−	0.0428322i	−0.242362	−	0.970186i	$-0.577922\pi$
$877$	3.90386	−	1.26844i	0.131824	−	0.0428322i	0.374186	+	0.927354i	$0.377922\pi$
$878$	9.43269	+	12.9830i	0.318338	+	0.438155i
$879$	41.2492	−	1.97697i	1.39130	−	0.0666816i
$880$	9.50039	+	11.8236i	0.320258	+	0.398575i
$881$			38.1484i			1.28525i	0.766180	+	0.642626i	$0.222155\pi$
$881$			38.1484i			1.28525i	−0.766180	+	0.642626i	$0.777845\pi$
$882$	30.0376	−	26.5637i	1.01142	−	0.894446i
$883$	1.26539	+	3.89447i	0.0425838	+	0.131059i	0.970088	−	0.242753i	$-0.0780504\pi$
$883$	1.26539	+	3.89447i	0.0425838	+	0.131059i	−0.927504	+	0.373812i	$0.878050\pi$
$884$	−49.8945	−	16.2117i	−1.67813	−	0.545259i
$885$	0.741209	+	0.486070i	0.0249155	+	0.0163391i
$886$	10.5496	−	14.5203i	0.354422	−	0.487819i
$887$	3.60477	−	11.0943i	0.121036	−	0.372511i	−0.872122	−	0.489289i	$-0.837256\pi$
$887$	3.60477	−	11.0943i	0.121036	−	0.372511i	0.993158	+	0.116777i	$0.0372564\pi$
$888$	−1.55381	−	4.10253i	−0.0521425	−	0.137672i
$889$	−0.776737	+	0.564333i	−0.0260509	+	0.0189271i
$890$	7.43462			0.249209
$891$	28.9932	−	7.09884i	0.971309	−	0.237820i
$892$	−23.1170			−0.774014
$893$	−5.74571	+	4.17450i	−0.192273	+	0.139694i
$894$	−15.9950	−	42.2315i	−0.534952	−	1.41243i
$895$	−7.86750	+	24.2137i	−0.262982	+	0.809374i
$896$	0.256649	−	0.353247i	0.00857404	−	0.0118012i
$897$	10.7864	+	7.07349i	0.360147	+	0.236177i
$898$	35.1907	+	11.4341i	1.17433	+	0.381562i
$899$	−12.8814	−	39.6448i	−0.429617	−	1.32223i
$900$	3.71544	−	3.28574i	0.123848	−	0.109525i
$901$		−	46.6919i		−	1.55553i
$902$	9.39534	−	34.5380i	0.312831	−	1.14999i
$903$	−1.05764	+	0.0506901i	−0.0351961	+	0.00168686i
$904$	5.51957	+	7.59703i	0.183578	+	0.252674i
$905$	12.6580	−	4.11284i	0.420767	−	0.136715i
$906$	−43.9629	−	11.9906i	−1.46057	−	0.398363i
$907$	−0.480965	−	0.349442i	−0.0159702	−	0.0116030i	0.579772	−	0.814779i	$-0.303142\pi$
$907$	−0.480965	−	0.349442i	−0.0159702	−	0.0116030i	−0.595742	+	0.803176i	$0.703142\pi$
$908$	−37.1572	−	26.9963i	−1.23311	−	0.895904i
$909$	−3.16914	+	14.2808i	−0.105114	+	0.473663i
$910$	0.967540	−	0.314373i	0.0320737	−	0.0104214i
$911$	−14.5380	−	20.0098i	−0.481665	−	0.662955i	0.497159	−	0.867660i	$-0.334377\pi$
$911$	−14.5380	−	20.0098i	−0.481665	−	0.662955i	−0.978824	+	0.204704i	$0.934377\pi$
$912$	−0.771903	−	16.1056i	−0.0255603	−	0.533311i
$913$	−1.79518	+	6.59922i	−0.0594117	+	0.218402i
$914$			70.0568i			2.31727i
$915$	−8.50076	+	6.82111i	−0.281027	+	0.225499i
$916$	−8.28390	−	25.4952i	−0.273708	−	0.842386i
$917$	−1.36269	−	0.442763i	−0.0449998	−	0.0146213i
$918$	43.8098	+	23.0672i	1.44594	+	0.761331i
$919$	−19.7946	+	27.2449i	−0.652964	+	0.898728i	−0.999223	−	0.0394113i	$-0.987452\pi$
$919$	−19.7946	+	27.2449i	−0.652964	+	0.898728i	0.346259	+	0.938139i	$0.387452\pi$
$920$	0.239584	−	0.737364i	0.00789886	−	0.0243102i
$921$	−9.71882	+	3.68096i	−0.320246	+	0.121292i
$922$	6.48066	−	4.70847i	0.213429	−	0.155065i
$923$	94.2673			3.10285
$924$	0.0764780	+	0.790483i	0.00251594	+	0.0260050i
$925$	−3.82209			−0.125669
$926$	−24.2829	+	17.6426i	−0.797986	+	0.579771i
$927$	−10.8650	−	25.0022i	−0.356852	−	0.821179i
$928$	−12.6625	+	38.9711i	−0.415666	+	1.27929i
$929$	6.33758	−	8.72293i	0.207929	−	0.286190i	−0.692297	−	0.721613i	$-0.743401\pi$
$929$	6.33758	−	8.72293i	0.207929	−	0.286190i	0.900226	+	0.435423i	$0.143401\pi$
$930$	13.6956	−	20.8845i	0.449096	−	0.684828i
$931$	−13.5384	−	4.39888i	−0.443702	−	0.144167i
$932$	−10.3955	−	31.9941i	−0.340516	−	1.04800i
$933$	22.6056	+	28.1721i	0.740073	+	0.922312i
$934$			55.3698i			1.81176i
$935$	10.3563	+	12.8888i	0.338686	+	0.421510i
$936$	1.21018	+	12.5961i	0.0395560	+	0.411718i
$937$	17.7425	+	24.4204i	0.579622	+	0.797781i	0.993654	−	0.112481i	$-0.0358798\pi$
$937$	17.7425	+	24.4204i	0.579622	+	0.797781i	−0.414032	+	0.910262i	$0.635880\pi$
$938$	−0.363401	+	0.118076i	−0.0118655	+	0.00385532i
$939$	−6.04550	+	22.1654i	−0.197288	+	0.723341i
$940$	4.66659	+	3.39047i	0.152207	+	0.110585i
$941$	−35.2926	−	25.6416i	−1.15051	−	0.835892i	−0.161959	−	0.986797i	$-0.551781\pi$
$941$	−35.2926	−	25.6416i	−1.15051	−	0.835892i	−0.988548	+	0.150905i	$0.951781\pi$
$942$	−14.7041	+	53.9116i	−0.479086	+	1.75654i
$943$	−6.28268	+	2.04137i	−0.204592	+	0.0664760i
$944$	−1.37561	−	1.89336i	−0.0447722	−	0.0616236i
$945$	−0.430023	+	0.0622111i	−0.0139886	+	0.00202373i
$946$	−25.3892	+	38.7723i	−0.825473	+	1.26060i
$947$			50.5920i			1.64402i	0.569474	+	0.822009i	$0.307147\pi$
$947$			50.5920i			1.64402i	−0.569474	+	0.822009i	$0.692853\pi$
$948$	10.6966	+	13.3306i	0.347410	+	0.432958i
$949$	6.33933	+	19.5105i	0.205783	+	0.633336i
$950$	−3.70036	−	1.20232i	−0.120056	−	0.0390084i
$951$	23.5836	−	35.9627i	0.764751	−	1.16617i
$952$	0.162370	−	0.223484i	0.00526245	−	0.00724315i
$953$	−10.5355	+	32.4250i	−0.341279	+	1.05035i	0.622267	+	0.782805i	$0.286212\pi$
$953$	−10.5355	+	32.4250i	−0.341279	+	1.05035i	−0.963546	+	0.267543i	$0.913788\pi$
$954$	49.2561	−	21.4048i	1.59473	−	0.693006i
$955$	4.75369	−	3.45376i	0.153826	−	0.111761i
$956$	−6.93459			−0.224281
$957$	12.6705	+	29.1040i	0.409581	+	0.940800i
$958$	63.5158			2.05210
$959$	1.05188	−	0.764239i	0.0339671	−	0.0246786i
$960$	−8.14363	+	3.08436i	−0.262835	+	0.0995473i
$961$	8.00669	−	24.6421i	0.258280	−	0.794905i
$962$	−27.3322	+	37.6196i	−0.881226	+	1.21290i
$963$	23.4672	+	13.8299i	0.756220	+	0.445663i
$964$	−10.6559	−	3.46230i	−0.343202	−	0.111513i
$965$	−4.32878	−	13.3226i	−0.139348	−	0.428870i
$966$	0.252613	−	0.202699i	0.00812768	−	0.00652174i
$967$		−	40.5607i		−	1.30434i	−0.758072	−	0.652171i	$-0.773858\pi$
$967$		−	40.5607i		−	1.30434i	0.758072	−	0.652171i	$-0.226142\pi$
$968$	−6.28490	−	3.69260i	−0.202004	−	0.118685i
$969$	−0.841443	−	17.5566i	−0.0270311	−	0.563999i
$970$	−1.39106	−	1.91463i	−0.0446642	−	0.0614750i
$971$	1.33605	−	0.434108i	0.0428758	−	0.0139312i	−0.287501	−	0.957780i	$-0.592824\pi$
$971$	1.33605	−	0.434108i	0.0428758	−	0.0139312i	0.330376	+	0.943849i	$0.392824\pi$
$972$	−1.92354	+	25.7005i	−0.0616974	+	0.824344i
$973$	−0.285724	−	0.207591i	−0.00915989	−	0.00665505i
$974$	2.62580	+	1.90776i	0.0841362	+	0.0611285i
$975$	10.6363	+	2.90101i	0.340636	+	0.0929067i
$976$	27.3689	−	8.89268i	0.876056	−	0.284648i
$977$	−15.2791	−	21.0299i	−0.488822	−	0.672805i	0.491349	−	0.870963i	$-0.336504\pi$
$977$	−15.2791	−	21.0299i	−0.488822	−	0.672805i	−0.980170	+	0.198158i	$0.936504\pi$
$978$	−15.2055	+	0.728763i	−0.486219	+	0.0233033i
$979$	−12.0613	+	4.57736i	−0.385481	+	0.146293i
$980$			11.5615i			0.369319i
$981$	29.9611	+	33.8793i	0.956585	+	1.08168i
$982$	8.38673	+	25.8117i	0.267631	+	0.823684i
$983$	−39.9614	−	12.9842i	−1.27457	−	0.414133i	−0.407906	−	0.913024i	$-0.633741\pi$
$983$	−39.9614	−	12.9842i	−1.27457	−	0.414133i	−0.866665	+	0.498891i	$0.833741\pi$
$984$	−5.41932	−	3.55388i	−0.172762	−	0.113294i
$985$	−10.1831	+	14.0159i	−0.324461	+	0.446582i
$986$	−16.2702	+	50.0744i	−0.518147	+	1.59469i
$987$	−0.178977	−	0.472553i	−0.00569690	−	0.0150415i
$988$	−17.3307	+	12.5915i	−0.551365	+	0.400590i
$989$	8.55354			0.271987
$990$	−8.84908	+	16.8336i	−0.281242	+	0.535007i
$991$	−15.1676			−0.481816			−0.240908	−	0.970548i	$-0.577445\pi$
$991$	−15.1676			−0.481816			−0.240908	+	0.970548i	$0.577445\pi$
$992$	−45.2589	+	32.8825i	−1.43697	+	1.04402i
$993$	−2.77135	−	7.31718i	−0.0879461	−	0.232204i
$994$	0.731443	−	2.25115i	0.0232000	−	0.0714022i
$995$	−3.07420	+	4.23127i	−0.0974587	+	0.134140i
$996$	−4.93781	−	3.23812i	−0.156461	−	0.102604i
$997$	−29.6059	−	9.61955i	−0.937629	−	0.304654i	−0.199951	−	0.979806i	$-0.564078\pi$
$997$	−29.6059	−	9.61955i	−0.937629	−	0.304654i	−0.737679	+	0.675152i	$0.764078\pi$
$998$	−18.2109	−	56.0473i	−0.576455	−	1.77415i
$999$	14.2303	−	13.8537i	0.450226	−	0.438312i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	165.2.p.b.41.11	yes	48
3.2	odd	2	inner	165.2.p.b.41.2	✓	48
5.2	odd	4		825.2.bs.g.74.9		48
5.3	odd	4		825.2.bs.h.74.4		48
5.4	even	2		825.2.bi.e.701.2		48
11.7	odd	10	inner	165.2.p.b.161.2	yes	48
15.2	even	4		825.2.bs.h.74.3		48
15.8	even	4		825.2.bs.g.74.10		48
15.14	odd	2		825.2.bi.e.701.11		48
33.29	even	10	inner	165.2.p.b.161.11	yes	48
55.7	even	20		825.2.bs.g.524.10		48
55.18	even	20		825.2.bs.h.524.3		48
55.29	odd	10		825.2.bi.e.326.11		48
165.29	even	10		825.2.bi.e.326.2		48
165.62	odd	20		825.2.bs.h.524.4		48
165.128	odd	20		825.2.bs.g.524.9		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
165.2.p.b.41.2	✓	48	3.2	odd	2	inner
165.2.p.b.41.11	yes	48	1.1	even	1	trivial
165.2.p.b.161.2	yes	48	11.7	odd	10	inner
165.2.p.b.161.11	yes	48	33.29	even	10	inner
825.2.bi.e.326.2		48	165.29	even	10
825.2.bi.e.326.11		48	55.29	odd	10
825.2.bi.e.701.2		48	5.4	even	2
825.2.bi.e.701.11		48	15.14	odd	2
825.2.bs.g.74.9		48	5.2	odd	4
825.2.bs.g.74.10		48	15.8	even	4
825.2.bs.g.524.9		48	165.128	odd	20
825.2.bs.g.524.10		48	55.7	even	20
825.2.bs.h.74.3		48	15.2	even	4
825.2.bs.h.74.4		48	5.3	odd	4
825.2.bs.h.524.3		48	55.18	even	20
825.2.bs.h.524.4		48	165.62	odd	20

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:	\( N \)	\(=\)	\( 165 = 3 \cdot 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	165.p (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.54632 - 1.12347i) q^{2} +(-0.613479 - 1.61977i) q^{3} +(0.510897 - 1.57238i) q^{4} +(0.587785 - 0.809017i) q^{5} +(-2.76839 - 1.81546i) q^{6} +(-0.0795268 - 0.0258398i) q^{7} +(0.204777 + 0.630238i) q^{8} +(-2.24729 + 1.98739i) q^{9} +O(q^{10})\)	\(q+(1.54632 - 1.12347i) q^{2} +(-0.613479 - 1.61977i) q^{3} +(0.510897 - 1.57238i) q^{4} +(0.587785 - 0.809017i) q^{5} +(-2.76839 - 1.81546i) q^{6} +(-0.0795268 - 0.0258398i) q^{7} +(0.204777 + 0.630238i) q^{8} +(-2.24729 + 1.98739i) q^{9} -1.91136i q^{10} +(1.17679 + 3.10083i) q^{11} +(-2.86031 + 0.137088i) q^{12} +(-3.74138 - 5.14956i) q^{13} +(-0.152004 + 0.0493892i) q^{14} +(-1.67101 - 0.455760i) q^{15} +(3.69980 + 2.68806i) q^{16} +(4.03311 + 2.93023i) q^{17} +(-1.24227 + 5.59790i) q^{18} +(1.93598 - 0.629039i) q^{19} +(-0.971784 - 1.33755i) q^{20} +(0.00693353 + 0.144667i) q^{21} +(5.30339 + 3.47280i) q^{22} -1.16998i q^{23} +(0.895213 - 0.718328i) q^{24} +(-0.309017 - 0.951057i) q^{25} +(-11.5708 - 3.75957i) q^{26} +(4.59776 + 2.42086i) q^{27} +(-0.0812601 + 0.111845i) q^{28} +(-1.70752 + 5.25522i) q^{29} +(-3.09596 + 1.17258i) q^{30} +(-6.10313 + 4.43418i) q^{31} +7.41569 q^{32} +(4.30069 - 3.80842i) q^{33} +9.52851 q^{34} +(-0.0676496 + 0.0491503i) q^{35} +(1.97679 + 4.54894i) q^{36} +(1.18109 - 3.63502i) q^{37} +(2.28695 - 3.14772i) q^{38} +(-6.04584 + 9.21931i) q^{39} +(0.630238 + 0.204777i) q^{40} +(-1.74479 - 5.36991i) q^{41} +(0.173251 + 0.215912i) q^{42} +7.31086i q^{43} +(5.47691 - 0.266154i) q^{44} +(0.286906 + 2.98625i) q^{45} +(-1.31443 - 1.80916i) q^{46} +(-3.31816 + 1.07813i) q^{47} +(2.08428 - 7.64188i) q^{48} +(-5.65746 - 4.11039i) q^{49} +(-1.54632 - 1.12347i) q^{50} +(2.27205 - 8.33033i) q^{51} +(-10.0085 + 3.25197i) q^{52} +(-5.50526 - 7.57734i) q^{53} +(9.82939 - 1.42201i) q^{54} +(3.20033 + 0.870581i) q^{55} -0.0554122i q^{56} +(-2.20658 - 2.74994i) q^{57} +(3.26369 + 10.0446i) q^{58} +(-0.486700 - 0.158139i) q^{59} +(-1.57034 + 2.39462i) q^{60} +(3.69870 - 5.09082i) q^{61} +(-4.45574 + 13.7134i) q^{62} +(0.230073 - 0.0999809i) q^{63} +(4.06746 - 2.95518i) q^{64} -6.36521 q^{65} +(2.37161 - 10.7207i) q^{66} +2.39073 q^{67} +(6.66793 - 4.84454i) q^{68} +(-1.89509 + 0.717756i) q^{69} +(-0.0493892 + 0.152004i) q^{70} +(-8.70497 + 11.9814i) q^{71} +(-1.71272 - 1.00936i) q^{72} +(-3.06517 - 0.995934i) q^{73} +(-2.25749 - 6.94784i) q^{74} +(-1.35091 + 1.08399i) q^{75} -3.36548i q^{76} +(-0.0134614 - 0.277007i) q^{77} +(1.00879 + 21.0483i) q^{78} +(-3.50824 - 4.82868i) q^{79} +(4.34937 - 1.41320i) q^{80} +(1.10060 - 8.93245i) q^{81} +(-8.73094 - 6.34340i) q^{82} +(1.66823 + 1.21204i) q^{83} +(0.231014 + 0.0630079i) q^{84} +(4.74120 - 1.54051i) q^{85} +(8.21353 + 11.3050i) q^{86} +(9.55976 - 0.458175i) q^{87} +(-1.71328 + 1.37664i) q^{88} +3.88970i q^{89} +(3.79861 + 4.29538i) q^{90} +(0.164476 + 0.506205i) q^{91} +(-1.83965 - 0.597738i) q^{92} +(10.9265 + 7.16537i) q^{93} +(-3.91969 + 5.39499i) q^{94} +(0.629039 - 1.93598i) q^{95} +(-4.54937 - 12.0117i) q^{96} +(1.00171 - 0.727785i) q^{97} -13.3662 q^{98} +(-8.80713 - 4.62973i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9}+O(q^{10}) \) 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9	\( 48 q - 4 q^{3} - 4 q^{4} - 20 q^{6} + 10 q^{7} + 2 q^{9} + 8 q^{12} + 6 q^{15} + 32 q^{16} - 30 q^{18} - 100 q^{19} - 82 q^{22} + 100 q^{24} + 12 q^{25} + 14 q^{27} + 30 q^{28} + 10 q^{30} + 10 q^{31} - 46 q^{33} - 28 q^{34} + 14 q^{36} + 6 q^{37} - 50 q^{40} - 52 q^{42} + 32 q^{45} + 20 q^{46} - 80 q^{48} - 26 q^{49} - 30 q^{51} + 40 q^{52} + 6 q^{55} - 70 q^{57} + 92 q^{58} + 44 q^{60} + 70 q^{61} - 20 q^{63} + 18 q^{64} + 76 q^{66} + 20 q^{67} + 42 q^{69} - 4 q^{70} - 80 q^{72} + 90 q^{73} - 6 q^{75} - 108 q^{78} - 100 q^{79} + 38 q^{81} - 34 q^{82} + 70 q^{84} + 20 q^{85} + 74 q^{88} + 20 q^{90} - 86 q^{91} + 76 q^{93} + 10 q^{94} - 30 q^{96} + 6 q^{97} - 28 q^{99}+O(q^{100}) \) 48 * q - 4 * q^3 - 4 * q^4 - 20 * q^6 + 10 * q^7 + 2 * q^9 + 8 * q^12 + 6 * q^15 + 32 * q^16 - 30 * q^18 - 100 * q^19 - 82 * q^22 + 100 * q^24 + 12 * q^25 + 14 * q^27 + 30 * q^28 + 10 * q^30 + 10 * q^31 - 46 * q^33 - 28 * q^34 + 14 * q^36 + 6 * q^37 - 50 * q^40 - 52 * q^42 + 32 * q^45 + 20 * q^46 - 80 * q^48 - 26 * q^49 - 30 * q^51 + 40 * q^52 + 6 * q^55 - 70 * q^57 + 92 * q^58 + 44 * q^60 + 70 * q^61 - 20 * q^63 + 18 * q^64 + 76 * q^66 + 20 * q^67 + 42 * q^69 - 4 * q^70 - 80 * q^72 + 90 * q^73 - 6 * q^75 - 108 * q^78 - 100 * q^79 + 38 * q^81 - 34 * q^82 + 70 * q^84 + 20 * q^85 + 74 * q^88 + 20 * q^90 - 86 * q^91 + 76 * q^93 + 10 * q^94 - 30 * q^96 + 6 * q^97 - 28 * q^99

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