LMFDB - Embedded newform 171.2.bd.a.167.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [171,2,Mod(2,171)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("171.2"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(171, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([3, 1])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 171 = 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	171.bd (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.36544187456$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			167.5
Character	$\chi$	$=$	171.167
Dual form			171.2.bd.a.128.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.290426 - 1.64709i) q^{2} +(1.16665 + 1.28021i) q^{3} +(-0.749162 + 0.272673i) q^{4} +(-0.574902 + 0.101371i) q^{5} +(1.76978 - 2.29338i) q^{6} +2.51527 q^{7} +(-1.00580 - 1.74210i) q^{8} +(-0.277850 + 2.98711i) q^{9} +(0.333933 + 0.917472i) q^{10} +(0.350348 + 0.202273i) q^{11} +(-1.22309 - 0.640967i) q^{12} +(4.38096 - 5.22102i) q^{13} +(-0.730498 - 4.14286i) q^{14} +(-0.800485 - 0.617728i) q^{15} +(-3.79873 + 3.18751i) q^{16} +(-1.57381 + 4.32400i) q^{17} +(5.00072 - 0.409890i) q^{18} +(-3.47008 + 2.63790i) q^{19} +(0.403054 - 0.232703i) q^{20} +(2.93444 + 3.22006i) q^{21} +(0.231412 - 0.635799i) q^{22} +(-2.10618 - 5.78669i) q^{23} +(1.05683 - 3.32006i) q^{24} +(-4.37823 + 1.59354i) q^{25} +(-9.87182 - 5.69950i) q^{26} +(-4.14826 + 3.12921i) q^{27} +(-1.88434 + 0.685845i) q^{28} +(-1.16485 - 0.977421i) q^{29} +(-0.784970 + 1.49787i) q^{30} +(-2.59776 + 1.49982i) q^{31} +(3.27140 + 2.74503i) q^{32} +(0.149782 + 0.684499i) q^{33} +(7.57907 + 1.33639i) q^{34} +(-1.44603 + 0.254974i) q^{35} +(-0.606348 - 2.31359i) q^{36} +7.01209i q^{37} +(5.35266 + 4.94941i) q^{38} +(11.7950 - 0.482587i) q^{39} +(0.754836 + 0.899579i) q^{40} +(4.84503 + 1.76345i) q^{41} +(4.45147 - 5.76846i) q^{42} +(0.571309 + 0.207939i) q^{43} +(-0.317622 - 0.0560053i) q^{44} +(-0.143068 - 1.74546i) q^{45} +(-8.91949 + 5.14967i) q^{46} +(-2.85081 + 3.39746i) q^{47} +(-8.51246 - 1.14444i) q^{48} -0.673439 q^{49} +(3.89626 + 6.74851i) q^{50} +(-7.37168 + 3.02980i) q^{51} +(-1.85842 + 5.10596i) q^{52} +(2.63029 + 2.20707i) q^{53} +(6.35883 + 5.92374i) q^{54} +(-0.221920 - 0.0807723i) q^{55} +(-2.52986 - 4.38185i) q^{56} +(-7.42543 - 1.36490i) q^{57} +(-1.27160 + 2.20247i) q^{58} +(5.80519 - 4.87114i) q^{59} +(0.768131 + 0.244508i) q^{60} +(1.98748 - 11.2716i) q^{61} +(3.22478 + 3.84315i) q^{62} +(-0.698867 + 7.51336i) q^{63} +(-1.38769 + 2.40355i) q^{64} +(-1.98936 + 3.44567i) q^{65} +(1.08393 - 0.445501i) q^{66} +(-2.36080 - 0.416273i) q^{67} -3.66851i q^{68} +(4.95097 - 9.44740i) q^{69} +(0.839929 + 2.30769i) q^{70} +(-5.10921 + 4.28714i) q^{71} +(5.48331 - 2.52040i) q^{72} +(-2.34660 - 13.3082i) q^{73} +(11.5495 - 2.03649i) q^{74} +(-7.14793 - 3.74592i) q^{75} +(1.88037 - 2.92241i) q^{76} +(0.881218 + 0.508771i) q^{77} +(-4.22044 - 19.2873i) q^{78} +(-0.887553 - 1.05774i) q^{79} +(1.86078 - 2.21759i) q^{80} +(-8.84560 - 1.65993i) q^{81} +(1.49743 - 8.49234i) q^{82} +13.1599i q^{83} +(-3.07639 - 1.61220i) q^{84} +(0.466457 - 2.64541i) q^{85} +(0.176571 - 1.00139i) q^{86} +(-0.107668 - 2.63155i) q^{87} -0.813789i q^{88} +(1.53648 - 8.71380i) q^{89} +(-2.83337 + 0.742572i) q^{90} +(11.0193 - 13.1323i) q^{91} +(3.15575 + 3.76087i) q^{92} +(-4.95075 - 1.57590i) q^{93} +(6.42386 + 3.70882i) q^{94} +(1.72755 - 1.86830i) q^{95} +(0.302380 + 7.39055i) q^{96} +(3.60945 - 0.636444i) q^{97} +(0.195584 + 1.10921i) q^{98} +(-0.701556 + 0.990324i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 9 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 9 q^{6} - 6 q^{7} + 3 q^{9} - 12 q^{10} - 9 q^{11} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 9 q^{15} + 9 q^{16} - 27 q^{17} - 36 q^{18} - 15 q^{19} - 18 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) $ 108 * q - 9 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 9 * q^6 - 6 * q^7 + 3 * q^9 - 12 * q^10 - 9 * q^11 - 9 * q^12 - 6 * q^13 - 9 * q^14 - 9 * q^15 + 9 * q^16 - 27 * q^17 - 36 * q^18 - 15 * q^19 - 18 * q^20 - 24 * q^21 - 6 * q^22 - 9 * q^23 + 51 * q^24 - 3 * q^25 + 72 * q^26 - 36 * q^28 + 18 * q^29 + 42 * q^30 - 9 * q^31 + 27 * q^32 - 33 * q^33 - 21 * q^34 - 45 * q^35 + 81 * q^36 - 18 * q^38 - 18 * q^39 - 30 * q^40 - 72 * q^41 - 138 * q^42 - 27 * q^43 + 63 * q^44 + 6 * q^45 - 18 * q^46 - 9 * q^47 - 33 * q^48 + 30 * q^49 + 63 * q^50 + 39 * q^51 + 15 * q^52 + 66 * q^54 + 3 * q^55 - 63 * q^56 + 66 * q^57 - 6 * q^58 + 99 * q^59 + 15 * q^60 + 39 * q^61 - 18 * q^62 + 36 * q^63 - 9 * q^65 - 120 * q^66 + 27 * q^67 + 18 * q^69 - 24 * q^70 + 15 * q^72 - 45 * q^73 + 72 * q^74 - 3 * q^76 - 18 * q^77 - 9 * q^78 - 6 * q^79 - 126 * q^80 - 33 * q^81 - 3 * q^82 - 9 * q^84 - 3 * q^85 - 9 * q^86 + 33 * q^87 - 54 * q^89 - 93 * q^90 - 9 * q^91 + 99 * q^92 - 39 * q^93 - 9 * q^95 + 207 * q^96 + 24 * q^97 + 27 * q^98 + 3 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/171\mathbb{Z}\right)^\times$.

$n$	$20$	$154$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{11}{18}\right)$

Coefficient data

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

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

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

$2$	−0.290426	−	1.64709i	−0.205362	−	1.16467i	−0.896869	−	0.442296i	$-0.854164\pi$
$2$	−0.290426	−	1.64709i	−0.205362	−	1.16467i	0.691507	−	0.722370i	$-0.256947\pi$
$3$	1.16665	+	1.28021i	0.673566	+	0.739127i
$3$	1.16665	+	1.28021i	0.673566	+	0.739127i
$4$	−0.749162	+	0.272673i	−0.374581	+	0.136336i
$5$	−0.574902	+	0.101371i	−0.257104	+	0.0453343i	−0.300714	−	0.953714i	$-0.597225\pi$
$5$	−0.574902	+	0.101371i	−0.257104	+	0.0453343i	0.0436105	+	0.999049i	$0.486114\pi$
$6$	1.76978	−	2.29338i	0.722511	−	0.936269i
$7$	2.51527			0.950681			0.475341	−	0.879802i	$-0.342325\pi$
$7$	2.51527			0.950681			0.475341	+	0.879802i	$0.342325\pi$
$8$	−1.00580	−	1.74210i	−0.355605	−	0.615927i
$9$	−0.277850	+	2.98711i	−0.0926167	+	0.995702i
$10$	0.333933	+	0.917472i	0.105599	+	0.290130i
$11$	0.350348	+	0.202273i	0.105634	+	0.0609877i	0.551886	−	0.833919i	$-0.313908\pi$
$11$	0.350348	+	0.202273i	0.105634	+	0.0609877i	−0.446252	+	0.894907i	$0.647242\pi$
$12$	−1.22309	−	0.640967i	−0.353075	−	0.185031i
$13$	4.38096	−	5.22102i	1.21506	−	1.44805i	0.357307	−	0.933987i	$-0.383695\pi$
$13$	4.38096	−	5.22102i	1.21506	−	1.44805i	0.857752	−	0.514063i	$-0.171860\pi$
$14$	−0.730498	−	4.14286i	−0.195234	−	1.10723i
$15$	−0.800485	−	0.617728i	−0.206684	−	0.159497i
$16$	−3.79873	+	3.18751i	−0.949682	+	0.796878i
$17$	−1.57381	+	4.32400i	−0.381704	+	1.04872i	0.588935	+	0.808181i	$0.299548\pi$
$17$	−1.57381	+	4.32400i	−0.381704	+	1.04872i	−0.970639	+	0.240542i	$0.922675\pi$
$18$	5.00072	−	0.409890i	1.17868	−	0.0966119i
$19$	−3.47008	+	2.63790i	−0.796091	+	0.605176i
$19$	−3.47008	+	2.63790i	−0.796091	+	0.605176i
$20$	0.403054	−	0.232703i	0.0901255	−	0.0520340i
$21$	2.93444	+	3.22006i	0.640347	+	0.702674i
$22$	0.231412	−	0.635799i	0.0493371	−	0.135553i
$23$	−2.10618	−	5.78669i	−0.439170	−	1.20661i	−0.940033	−	0.341082i	$-0.889206\pi$
$23$	−2.10618	−	5.78669i	−0.439170	−	1.20661i	0.500864	−	0.865526i	$-0.333016\pi$
$24$	1.05683	−	3.32006i	0.215724	−	0.677705i
$25$	−4.37823	+	1.59354i	−0.875645	+	0.318709i
$26$	−9.87182	−	5.69950i	−1.93602	−	1.11776i
$27$	−4.14826	+	3.12921i	−0.798333	+	0.602216i
$28$	−1.88434	+	0.685845i	−0.356107	+	0.129612i
$29$	−1.16485	−	0.977421i	−0.216306	−	0.181503i	0.528196	−	0.849123i	$-0.322869\pi$
$29$	−1.16485	−	0.977421i	−0.216306	−	0.181503i	−0.744502	+	0.667620i	$0.767313\pi$
$30$	−0.784970	+	1.49787i	−0.143315	+	0.273473i
$31$	−2.59776	+	1.49982i	−0.466571	+	0.269375i	−0.714803	−	0.699326i	$-0.753484\pi$
$31$	−2.59776	+	1.49982i	−0.466571	+	0.269375i	0.248232	+	0.968701i	$0.420150\pi$
$32$	3.27140	+	2.74503i	0.578307	+	0.485257i
$33$	0.149782	+	0.684499i	0.0260737	+	0.119156i
$34$	7.57907	+	1.33639i	1.29980	+	0.229190i
$35$	−1.44603	+	0.254974i	−0.244424	+	0.0430985i
$36$	−0.606348	−	2.31359i	−0.101058	−	0.385598i
$37$			7.01209i			1.15278i	0.817175	+	0.576390i	$0.195539\pi$
$37$			7.01209i			1.15278i	−0.817175	+	0.576390i	$0.804461\pi$
$38$	5.35266	+	4.94941i	0.868316	+	0.802900i
$39$	11.7950	−	0.482587i	1.88872	−	0.0772758i
$40$	0.754836	+	0.899579i	0.119350	+	0.142236i
$41$	4.84503	+	1.76345i	0.756667	+	0.275404i	0.691409	−	0.722464i	$-0.256990\pi$
$41$	4.84503	+	1.76345i	0.756667	+	0.275404i	0.0652588	+	0.997868i	$0.479213\pi$
$42$	4.45147	−	5.76846i	0.686877	−	0.890093i
$43$	0.571309	+	0.207939i	0.0871238	+	0.0317105i	0.385214	−	0.922827i	$-0.374128\pi$
$43$	0.571309	+	0.207939i	0.0871238	+	0.0317105i	−0.298091	+	0.954538i	$0.596350\pi$
$44$	−0.317622	−	0.0560053i	−0.0478833	−	0.00844312i
$45$	−0.143068	−	1.74546i	−0.0213274	−	0.260197i
$46$	−8.91949	+	5.14967i	−1.31511	+	0.759278i
$47$	−2.85081	+	3.39746i	−0.415833	+	0.495570i	−0.932780	−	0.360447i	$-0.882624\pi$
$47$	−2.85081	+	3.39746i	−0.415833	+	0.495570i	0.516947	+	0.856018i	$0.327069\pi$
$48$	−8.51246	−	1.14444i	−1.22867	−	0.165185i
$49$	−0.673439			−0.0962055
$50$	3.89626	+	6.74851i	0.551014	+	0.954384i
$51$	−7.37168	+	3.02980i	−1.03224	+	0.424257i
$52$	−1.85842	+	5.10596i	−0.257716	+	0.708069i
$53$	2.63029	+	2.20707i	0.361297	+	0.303165i	0.805308	−	0.592857i	$-0.202000\pi$
$53$	2.63029	+	2.20707i	0.361297	+	0.303165i	−0.444010	+	0.896022i	$0.646445\pi$
$54$	6.35883	+	5.92374i	0.865328	+	0.806120i
$55$	−0.221920	−	0.0807723i	−0.0299237	−	0.0108913i
$56$	−2.52986	−	4.38185i	−0.338067	−	0.585550i
$57$	−7.42543	−	1.36490i	−0.983522	−	0.180786i
$58$	−1.27160	+	2.20247i	−0.166969	+	0.289198i
$59$	5.80519	−	4.87114i	0.755772	−	0.634168i	−0.181251	−	0.983437i	$-0.558015\pi$
$59$	5.80519	−	4.87114i	0.755772	−	0.634168i	0.937022	+	0.349269i	$0.113570\pi$
$60$	0.768131	+	0.244508i	0.0991653	+	0.0315658i
$61$	1.98748	−	11.2716i	0.254471	−	1.44318i	−0.542955	−	0.839762i	$-0.682695\pi$
$61$	1.98748	−	11.2716i	0.254471	−	1.44318i	0.797426	−	0.603416i	$-0.206194\pi$
$62$	3.22478	+	3.84315i	0.409548	+	0.488080i
$63$	−0.698867	+	7.51336i	−0.0880489	+	0.946595i
$64$	−1.38769	+	2.40355i	−0.173461	+	0.300443i
$65$	−1.98936	+	3.44567i	−0.246750	+	0.427383i
$66$	1.08393	−	0.445501i	0.133422	−	0.0548373i
$67$	−2.36080	−	0.416273i	−0.288418	−	0.0508559i	0.0275673	−	0.999620i	$-0.491224\pi$
$67$	−2.36080	−	0.416273i	−0.288418	−	0.0508559i	−0.315985	+	0.948764i	$0.602335\pi$
$68$		−	3.66851i		−	0.444872i
$69$	4.95097	−	9.44740i	0.596027	−	1.13733i
$70$	0.839929	+	2.30769i	0.100391	+	0.275821i
$71$	−5.10921	+	4.28714i	−0.606352	+	0.508790i	−0.893480	−	0.449102i	$-0.851744\pi$
$71$	−5.10921	+	4.28714i	−0.606352	+	0.508790i	0.287128	+	0.957892i	$0.407299\pi$
$72$	5.48331	−	2.52040i	0.646214	−	0.297032i
$73$	−2.34660	−	13.3082i	−0.274649	−	1.55761i	−0.740075	−	0.672524i	$-0.765210\pi$
$73$	−2.34660	−	13.3082i	−0.274649	−	1.55761i	0.465426	−	0.885087i	$-0.345901\pi$
$74$	11.5495	−	2.03649i	1.34260	−	0.236737i
$75$	−7.14793	−	3.74592i	−0.825372	−	0.432541i
$76$	1.88037	−	2.92241i	0.215693	−	0.335224i
$77$	0.881218	+	0.508771i	0.100424	+	0.0579799i
$78$	−4.22044	−	19.2873i	−0.477871	−	2.18385i
$79$	−0.887553	−	1.05774i	−0.0998575	−	0.119006i	0.713801	−	0.700348i	$-0.246972\pi$
$79$	−0.887553	−	1.05774i	−0.0998575	−	0.119006i	−0.813659	+	0.581343i	$0.802528\pi$
$80$	1.86078	−	2.21759i	0.208041	−	0.247934i
$81$	−8.84560	−	1.65993i	−0.982844	−	0.184437i
$82$	1.49743	−	8.49234i	0.165363	−	0.937822i
$83$			13.1599i			1.44449i	0.691637	+	0.722245i	$0.256890\pi$
$83$			13.1599i			1.44449i	−0.691637	+	0.722245i	$0.743110\pi$
$84$	−3.07639	−	1.61220i	−0.335662	−	0.175906i
$85$	0.466457	−	2.64541i	0.0505944	−	0.286935i
$86$	0.176571	−	1.00139i	0.0190402	−	0.107982i
$87$	−0.107668	−	2.63155i	−0.0115433	−	0.282132i
$88$		−	0.813789i		−	0.0867502i
$89$	1.53648	−	8.71380i	0.162866	−	0.923661i	−0.788371	−	0.615201i	$-0.789075\pi$
$89$	1.53648	−	8.71380i	0.162866	−	0.923661i	0.951237	−	0.308461i	$-0.0998138\pi$
$90$	−2.83337	+	0.742572i	−0.298663	+	0.0782740i
$91$	11.0193	−	13.1323i	1.15513	−	1.37663i
$92$	3.15575	+	3.76087i	0.329009	+	0.392098i
$93$	−4.95075	−	1.57590i	−0.513369	−	0.163413i
$94$	6.42386	+	3.70882i	0.662570	+	0.382535i
$95$	1.72755	−	1.86830i	0.177243	−	0.191683i
$96$	0.302380	+	7.39055i	0.0308616	+	0.754295i
$97$	3.60945	−	0.636444i	0.366484	−	0.0646211i	0.0126264	−	0.999920i	$-0.495981\pi$
$97$	3.60945	−	0.636444i	0.366484	−	0.0646211i	0.353858	+	0.935299i	$0.384870\pi$
$98$	0.195584	+	1.10921i	0.0197570	+	0.112047i
$99$	−0.701556	+	0.990324i	−0.0705090	+	0.0995313i
$100$	2.84549	−	2.38765i	0.284549	−	0.238765i
$101$	−3.03974	−	8.35162i	−0.302466	−	0.831017i	−0.994070	−	0.108741i	$-0.965318\pi$
$101$	−3.03974	−	8.35162i	−0.302466	−	0.831017i	0.691605	−	0.722276i	$-0.256904\pi$
$102$	7.13127	+	11.2619i	0.706101	+	1.11509i
$103$			0.277420i			0.0273350i	0.999907	+	0.0136675i	$0.00435064\pi$
$103$			0.277420i			0.0273350i	−0.999907	+	0.0136675i	$0.995649\pi$
$104$	−13.5019	−	2.38076i	−1.32397	−	0.233452i
$105$	−2.01343	−	1.55375i	−0.196491	−	0.151630i
$106$	2.87134	−	4.97330i	0.278889	−	0.483049i
$107$	−2.99056	+	5.17980i	−0.289108	+	0.500750i	−0.973597	−	0.228273i	$-0.926692\pi$
$107$	−2.99056	+	5.17980i	−0.289108	+	0.500750i	0.684489	+	0.729023i	$0.260025\pi$
$108$	2.25447	−	3.47540i	0.216937	−	0.334421i
$109$	5.96323	+	7.10670i	0.571174	+	0.680698i	0.971871	−	0.235512i	$-0.0756767\pi$
$109$	5.96323	+	7.10670i	0.571174	+	0.680698i	−0.400698	+	0.916210i	$0.631232\pi$
$110$	−0.0685877	+	0.388980i	−0.00653958	+	0.0370878i
$111$	−8.97691	+	8.18066i	−0.852051	+	0.776474i
$112$	−9.55481	+	8.01744i	−0.902845	+	0.757577i
$113$	10.0435	−	17.3958i	0.944812	−	1.63646i	0.188684	−	0.982038i	$-0.439578\pi$
$113$	10.0435	−	17.3958i	0.944812	−	1.63646i	0.756128	−	0.654424i	$-0.227089\pi$
$114$	−0.0915775	+	12.6267i	−0.00857702	+	1.18260i
$115$	1.79745	+	3.11327i	0.167613	+	0.290314i
$116$	1.13917	+	0.414626i	0.105770	+	0.0384970i
$117$	14.3785	+	14.5370i	1.32929	+	1.34395i
$118$	−9.70916	−	8.14695i	−0.893801	−	0.749988i
$119$	−3.95854	+	10.8760i	−0.362879	+	0.997001i
$120$	−0.271015	+	2.01584i	−0.0247402	+	0.184020i
$121$	−5.41817	−	9.38455i	−0.492561	−	0.853141i
$122$	−19.1425			−1.73308
$123$	3.39489	+	8.25997i	0.306107	+	0.744776i
$124$	1.53718	−	1.83194i	0.138043	−	0.164513i
$125$	4.88331	−	2.81938i	0.436777	−	0.252173i
$126$	12.5781	−	1.03098i	1.12055	−	0.0918471i
$127$	14.8487	+	2.61823i	1.31761	+	0.232331i	0.787877	−	0.615833i	$-0.211180\pi$
$127$	14.8487	+	2.61823i	1.31761	+	0.232331i	0.529735	+	0.848163i	$0.322291\pi$
$128$	12.3878	+	4.50879i	1.09494	+	0.398524i
$129$	0.400313	+	0.973985i	0.0352456	+	0.0857546i
$130$	6.25309	+	2.27594i	0.548432	+	0.199613i
$131$	5.42139	+	6.46097i	0.473669	+	0.564497i	0.948986	−	0.315317i	$-0.102111\pi$
$131$	5.42139	+	6.46097i	0.473669	+	0.564497i	−0.475317	+	0.879815i	$0.657667\pi$
$132$	−0.298856	−	0.471960i	−0.0260120	−	0.0410788i
$133$	−8.72818	+	6.63503i	−0.756829	+	0.575330i
$134$			4.00935i			0.346355i
$135$	2.06763	−	2.21950i	0.177953	−	0.191024i
$136$	9.11579	−	1.60736i	0.781672	−	0.137830i
$137$	15.3518	+	2.70694i	1.31160	+	0.231270i	0.785344	−	0.619060i	$-0.212486\pi$
$137$	15.3518	+	2.70694i	1.31160	+	0.231270i	0.526251	+	0.850329i	$0.323597\pi$
$138$	−16.9986	−	5.41091i	−1.44701	−	0.460607i
$139$	−4.30940	−	3.61602i	−0.365518	−	0.306706i	0.441467	−	0.897277i	$-0.354458\pi$
$139$	−4.30940	−	3.61602i	−0.365518	−	0.306706i	−0.806986	+	0.590571i	$0.798903\pi$
$140$	1.01379	−	0.585310i	0.0856806	−	0.0494677i
$141$	−7.67534	+	0.314033i	−0.646380	+	0.0264463i
$142$	8.54514	+	7.17022i	0.717092	+	0.601712i
$143$	2.59093	−	0.943022i	0.216665	−	0.0788595i
$144$	−8.46596	−	12.2329i	−0.705497	−	1.01940i
$145$	0.768753	+	0.443840i	0.0638415	+	0.0368589i
$146$	−21.2383	+	7.73011i	−1.75769	+	0.639749i
$147$	−0.785668	−	0.862139i	−0.0648008	−	0.0711081i
$148$	−1.91201	−	5.25319i	−0.157166	−	0.431810i
$149$	−6.93504	+	19.0539i	−0.568140	+	1.56095i	0.239264	+	0.970955i	$0.423094\pi$
$149$	−6.93504	+	19.0539i	−0.568140	+	1.56095i	−0.807404	+	0.589998i	$0.799128\pi$
$150$	−4.09391	+	12.8612i	−0.334266	+	1.05011i
$151$	0.772652	−	0.446091i	0.0628775	−	0.0363023i	−0.468232	−	0.883606i	$-0.655109\pi$
$151$	0.772652	−	0.446091i	0.0628775	−	0.0363023i	0.531109	+	0.847303i	$0.321775\pi$
$152$	8.08572	+	3.39203i	0.655839	+	0.275130i
$153$	−12.4790	−	5.90255i	−1.00886	−	0.477193i
$154$	0.582062	−	1.59920i	0.0469039	−	0.128867i
$155$	1.34142	−	1.12558i	0.107745	−	0.0904091i
$156$	−8.70480	+	3.57772i	−0.696942	+	0.286447i
$157$	1.16982	+	6.63439i	0.0933619	+	0.529482i	0.995237	+	0.0974849i	$0.0310798\pi$
$157$	1.16982	+	6.63439i	0.0933619	+	0.529482i	−0.901875	+	0.431997i	$0.857809\pi$
$158$	−1.48443	+	1.76907i	−0.118095	+	0.140740i
$159$	0.243121	+	5.94219i	0.0192808	+	0.471246i
$160$	−2.15900	−	1.24650i	−0.170684	−	0.0985443i
$161$	−5.29761	−	14.5551i	−0.417510	−	1.14710i
$162$	−0.165066	+	15.0516i	−0.0129688	+	1.18256i
$163$	7.41814	+	12.8486i	0.581034	+	1.00638i	0.995357	+	0.0962505i	$0.0306850\pi$
$163$	7.41814	+	12.8486i	0.581034	+	1.00638i	−0.414323	+	0.910130i	$0.635982\pi$
$164$	−4.11056			−0.320981
$165$	−0.155498	−	0.378336i	−0.0121055	−	0.0294534i
$166$	21.6755	−	3.82198i	1.68235	−	0.296643i
$167$	4.51697	−	1.64404i	0.349533	−	0.127220i	−0.161286	−	0.986908i	$-0.551564\pi$
$167$	4.51697	−	1.64404i	0.349533	−	0.127220i	0.510820	+	0.859688i	$0.329342\pi$
$168$	2.65820	−	8.35084i	0.205085	−	0.644281i
$169$	−5.80885	−	32.9436i	−0.446835	−	2.53413i
$170$	−4.49269			−0.344574
$171$	−6.91553	−	11.0984i	−0.528844	−	0.848719i
$172$	−0.484702			−0.0369582
$173$	1.36142	+	7.72098i	0.103507	+	0.587015i	0.991806	+	0.127751i	$0.0407758\pi$
$173$	1.36142	+	7.72098i	0.103507	+	0.587015i	−0.888300	+	0.459264i	$0.848113\pi$
$174$	−4.30312	+	0.941609i	−0.326219	+	0.0713832i
$175$	−11.0124	+	4.00819i	−0.832460	+	0.302990i
$176$	−1.97563	+	0.348356i	−0.148918	+	0.0262583i
$177$	13.0087	+	1.74892i	0.977793	+	0.131457i
$178$	−14.7986			−1.10920
$179$	0.189879	+	0.328881i	0.0141923	+	0.0245817i	0.873034	−	0.487659i	$-0.162149\pi$
$179$	0.189879	+	0.328881i	0.0141923	+	0.0245817i	−0.858842	+	0.512240i	$0.828816\pi$
$180$	0.583120	+	1.26862i	0.0434632	+	0.0945574i
$181$	−4.35197	−	11.9569i	−0.323479	−	0.888752i	−0.989720	−	0.143015i	$-0.954320\pi$
$181$	−4.35197	−	11.9569i	−0.323479	−	0.888752i	0.666241	−	0.745736i	$-0.267902\pi$
$182$	−24.8302	−	14.3357i	−1.84054	−	1.06264i
$183$	16.7486	−	10.6056i	1.23809	−	0.783990i
$184$	−7.96261	+	9.48946i	−0.587011	+	0.699573i
$185$	−0.710820	−	4.03126i	−0.0522605	−	0.296384i
$186$	−1.15782	+	8.61200i	−0.0848954	+	0.631462i
$187$	−1.42601	+	1.19656i	−0.104280	+	0.0875014i
$188$	1.20932	−	3.32259i	0.0881989	−	0.242325i
$189$	−10.4340	+	7.87078i	−0.758960	+	0.572515i
$190$	−3.57898	−	2.30282i	−0.259646	−	0.167064i
$191$	16.9778	−	9.80211i	1.22847	−	0.709256i	0.261758	−	0.965134i	$-0.415698\pi$
$191$	16.9778	−	9.80211i	1.22847	−	0.709256i	0.966709	+	0.255878i	$0.0823645\pi$
$192$	−4.69598	+	1.02757i	−0.338903	+	0.0741588i
$193$	0.0298426	−	0.0819919i	0.00214812	−	0.00590191i	−0.938614	−	0.344969i	$-0.887889\pi$
$193$	0.0298426	−	0.0819919i	0.00214812	−	0.00590191i	0.940762	+	0.339068i	$0.110112\pi$
$194$	−2.09656	−	5.76024i	−0.150524	−	0.413561i
$195$	−6.73206	+	1.47311i	−0.482093	+	0.105492i
$196$	0.504515	−	0.183628i	0.0360368	−	0.0131163i
$197$	−12.6355	−	7.29511i	−0.900242	−	0.519755i	−0.0229632	−	0.999736i	$-0.507310\pi$
$197$	−12.6355	−	7.29511i	−0.900242	−	0.519755i	−0.877279	+	0.479981i	$0.840643\pi$
$198$	1.83490	+	0.867908i	0.130401	+	0.0616795i
$199$	8.66420	−	3.15351i	0.614189	−	0.223547i	−0.0161461	−	0.999870i	$-0.505140\pi$
$199$	8.66420	−	3.15351i	0.614189	−	0.223547i	0.630335	+	0.776323i	$0.282917\pi$
$200$	7.17976	+	6.02453i	0.507685	+	0.425999i
$201$	−2.22132	−	3.50796i	−0.156680	−	0.247432i
$202$	−12.8730	+	7.43225i	−0.905743	+	0.522931i
$203$	−2.92990	−	2.45847i	−0.205638	−	0.172551i
$204$	4.69644	−	4.27987i	0.328817	−	0.299651i
$205$	−2.96418	−	0.522665i	−0.207027	−	0.0365045i
$206$	0.456935	−	0.0805699i	0.0318362	−	0.00561357i
$207$	17.8707	−	4.68356i	1.24210	−	0.325530i
$208$			33.7976i			2.34344i
$209$	−1.74931	+	0.222278i	−0.121002	+	0.0153753i
$210$	−1.97441	+	3.76755i	−0.136247	+	0.259985i
$211$	4.55857	+	5.43269i	0.313825	+	0.374002i	0.899782	−	0.436340i	$-0.143726\pi$
$211$	4.55857	+	5.43269i	0.313825	+	0.374002i	−0.585957	+	0.810342i	$0.699281\pi$
$212$	−2.57232	−	0.936248i	−0.176668	−	0.0643017i
$213$	−11.4491	−	1.53924i	−0.784478	−	0.105467i
$214$	9.40012	+	3.42136i	0.642579	+	0.233879i
$215$	−0.349525	−	0.0616307i	−0.0238374	−	0.00420318i
$216$	9.62374	+	4.07933i	0.654812	+	0.277564i
$217$	−6.53405	+	3.77244i	−0.443560	+	0.256090i
$218$	9.97347	−	11.8859i	0.675489	−	0.805016i
$219$	14.2996	−	18.5302i	0.966278	−	1.25215i
$220$	0.188279			0.0126937
$221$	15.6809	+	27.1601i	1.05481	+	1.82699i
$222$	16.0814	+	12.4099i	1.07931	+	0.832896i
$223$	−4.72625	+	12.9853i	−0.316493	+	0.869558i	0.674814	+	0.737988i	$0.264224\pi$
$223$	−4.72625	+	12.9853i	−0.316493	+	0.869558i	−0.991307	+	0.131570i	$0.957998\pi$
$224$	8.22843	+	6.90448i	0.549785	+	0.461325i
$225$	−3.54359	−	13.5210i	−0.236240	−	0.901400i
$226$	−31.5693	−	11.4903i	−2.09996	−	0.764323i
$227$	−4.85622	−	8.41122i	−0.322319	−	0.558272i	0.658647	−	0.752452i	$-0.271129\pi$
$227$	−4.85622	−	8.41122i	−0.322319	−	0.558272i	−0.980966	+	0.194179i	$0.937796\pi$
$228$	5.93503	−	1.00218i	0.393057	−	0.0663709i
$229$	1.12422	−	1.94720i	0.0742903	−	0.128675i	−0.826487	−	0.562956i	$-0.809664\pi$
$229$	1.12422	−	1.94720i	0.0742903	−	0.128675i	0.900777	+	0.434281i	$0.142998\pi$
$230$	4.60580	−	3.86473i	0.303698	−	0.254833i
$231$	0.376742	+	1.72170i	0.0247878	+	0.113279i
$232$	−0.531163	+	3.01237i	−0.0348726	+	0.197772i
$233$	18.5722	+	22.1335i	1.21671	+	1.45002i	0.855715	+	0.517447i	$0.173118\pi$
$233$	18.5722	+	22.1335i	1.21671	+	1.45002i	0.360992	+	0.932569i	$0.382438\pi$
$234$	19.7679	−	27.9046i	1.29227	−	1.82418i
$235$	1.29453	−	2.24219i	0.0844459	−	0.146265i
$236$	−3.02081	+	5.23219i	−0.196638	+	0.340587i
$237$	0.318665	−	2.37027i	0.0206995	−	0.153965i
$238$	19.0634	+	3.36139i	1.23570	+	0.217886i
$239$		−	10.1054i		−	0.653662i	−0.945083	−	0.326831i	$-0.894019\pi$
$239$		−	10.1054i		−	0.653662i	0.945083	−	0.326831i	$-0.105981\pi$
$240$	5.00984	−	0.204975i	0.323384	−	0.0132311i
$241$	−2.27700	−	6.25599i	−0.146674	−	0.402984i	0.844499	−	0.535557i	$-0.179898\pi$
$241$	−2.27700	−	6.25599i	−0.146674	−	0.402984i	−0.991173	+	0.132573i	$0.957676\pi$
$242$	−13.8836	+	11.6497i	−0.892471	+	0.748872i
$243$	−8.19467	−	13.2607i	−0.525688	−	0.850677i
$244$	1.58451	+	8.98618i	0.101438	+	0.575281i
$245$	0.387161	−	0.0682669i	0.0247348	−	0.00436141i
$246$	12.6189	−	7.99059i	0.804553	−	0.509461i
$247$	−1.42973	+	29.6739i	−0.0909716	+	1.88811i
$248$	5.22567	+	3.01704i	0.331830	+	0.191582i
$249$	−16.8474	+	15.3530i	−1.06766	+	0.972960i
$250$	−6.06201	−	7.22442i	−0.383395	−	0.456912i
$251$	−12.9843	+	15.4741i	−0.819561	+	0.976714i	−0.999976	−	0.00687624i	$-0.997811\pi$
$251$	−12.9843	+	15.4741i	−0.819561	+	0.976714i	0.180416	+	0.983590i	$0.442256\pi$
$252$	−1.52513	−	5.81929i	−0.0960739	−	0.366581i
$253$	0.432597	−	2.45338i	0.0271971	−	0.154243i
$254$		−	25.2176i		−	1.58229i
$255$	3.93086	−	2.48911i	0.246160	−	0.155874i
$256$	2.86475	−	16.2468i	0.179047	−	1.01543i
$257$	2.90720	−	16.4876i	0.181346	−	1.02847i	−0.749214	−	0.662328i	$-0.769569\pi$
$257$	2.90720	−	16.4876i	0.181346	−	1.02847i	0.930561	−	0.366138i	$-0.119320\pi$
$258$	1.48798	−	0.942221i	0.0926374	−	0.0586601i
$259$			17.6373i			1.09593i
$260$	0.550813	−	3.12381i	0.0341600	−	0.193731i
$261$	3.24331	−	3.20794i	0.200756	−	0.198566i
$262$	9.06726	−	10.8059i	0.560177	−	0.667593i
$263$	−0.246795	−	0.294119i	−0.0152181	−	0.0181362i	0.758382	−	0.651811i	$-0.225990\pi$
$263$	−0.246795	−	0.294119i	−0.0152181	−	0.0181362i	−0.773600	+	0.633674i	$0.781546\pi$
$264$	1.04182	−	0.949408i	0.0641194	−	0.0584320i
$265$	−1.73589	−	1.00222i	−0.106635	−	0.0615656i
$266$	13.4634	+	12.4491i	0.825491	+	0.763302i
$267$	12.9480	−	8.19896i	0.792404	−	0.501768i
$268$	1.88213	−	0.331871i	0.114969	−	0.0202722i
$269$	−5.48235	−	31.0919i	−0.334265	−	1.89571i	−0.434375	−	0.900732i	$-0.643031\pi$
$269$	−5.48235	−	31.0919i	−0.334265	−	1.89571i	0.100110	−	0.994976i	$-0.468080\pi$
$270$	−4.25620	−	2.76097i	−0.259024	−	0.168027i
$271$	−7.01972	+	5.89025i	−0.426418	+	0.357807i	−0.830598	−	0.556872i	$-0.812001\pi$
$271$	−7.01972	+	5.89025i	−0.426418	+	0.357807i	0.404180	+	0.914679i	$0.367557\pi$
$272$	−7.80433	−	21.4422i	−0.473207	−	1.30013i
$273$	29.6676	−	1.21384i	1.79557	−	0.0734646i
$274$		−	26.0720i		−	1.57506i
$275$	−1.85623	−	0.327304i	−0.111935	−	0.0197372i
$276$	−1.13303	+	8.42763i	−0.0682005	+	0.507284i
$277$	−6.38722	+	11.0630i	−0.383771	+	0.664711i	−0.991598	−	0.129359i	$-0.958708\pi$
$277$	−6.38722	+	11.0630i	−0.383771	+	0.664711i	0.607827	+	0.794069i	$0.292041\pi$
$278$	−4.70433	+	8.14814i	−0.282147	+	0.488693i
$279$	−3.75832	−	8.17650i	−0.225005	−	0.489514i
$280$	1.89861	+	2.26268i	0.113464	+	0.135221i
$281$	−0.418345	+	2.37255i	−0.0249564	+	0.141535i	−0.994740	−	0.102432i	$-0.967338\pi$
$281$	−0.418345	+	2.37255i	−0.0249564	+	0.141535i	0.969784	+	0.243967i	$0.0784487\pi$
$282$	2.74636	+	12.5508i	0.163543	+	0.747386i
$283$	−21.2514	+	17.8321i	−1.26327	+	1.06001i	−0.267940	+	0.963436i	$0.586343\pi$
$283$	−21.2514	+	17.8321i	−1.26327	+	1.06001i	−0.995326	+	0.0965708i	$0.969213\pi$
$284$	2.65864	−	4.60491i	0.157761	−	0.273251i
$285$	4.40725	+	0.0319643i	0.261063	+	0.00189340i
$286$	−2.30571	−	3.99361i	−0.136340	−	0.236147i
$287$	12.1865	+	4.43554i	0.719349	+	0.261822i
$288$	−9.10865	+	9.00930i	−0.536732	+	0.530878i
$289$	−3.19732	−	2.68287i	−0.188078	−	0.157816i
$290$	0.507777	−	1.39511i	0.0298177	−	0.0819234i
$291$	5.02575	+	3.87833i	0.294615	+	0.227352i
$292$	5.38678	+	9.33018i	0.315237	+	0.546007i
$293$	31.2285			1.82439			0.912193	−	0.409761i	$-0.134388\pi$
$293$	31.2285			1.82439			0.912193	+	0.409761i	$0.134388\pi$
$294$	−1.19184	+	1.54445i	−0.0695095	+	0.0900742i
$295$	−2.84362	+	3.38890i	−0.165562	+	0.197309i
$296$	12.2158	−	7.05278i	0.710028	−	0.409935i
$297$	−2.08629	+	0.257227i	−0.121059	+	0.0149258i
$298$	33.3975	+	5.88888i	1.93466	+	0.341133i
$299$	−39.4395	−	14.3548i	−2.28085	−	0.830160i
$300$	6.37637	+	0.857256i	0.368140	+	0.0494937i
$301$	1.43699	+	0.523023i	0.0828269	+	0.0301465i
$302$	−0.959148	−	1.14307i	−0.0551928	−	0.0657762i
$303$	7.14547	−	13.6349i	0.410497	−	0.783306i
$304$	4.77355	−	21.0816i	0.273782	−	1.20911i
$305$			6.68152i			0.382583i
$306$	−6.09780	+	22.2682i	−0.348588	+	1.27299i
$307$	−11.1605	+	1.96789i	−0.636961	+	0.112313i	−0.482798	−	0.875732i	$-0.660379\pi$
$307$	−11.1605	+	1.96789i	−0.636961	+	0.112313i	−0.154164	+	0.988045i	$0.549268\pi$
$308$	−0.798903	−	0.140868i	−0.0455217	−	0.00802671i
$309$	−0.355154	+	0.323652i	−0.0202040	+	0.0184119i
$310$	−2.24352	−	1.88253i	−0.127423	−	0.106921i
$311$	−21.0631	+	12.1608i	−1.19438	+	0.689576i	−0.959297	−	0.282400i	$-0.908870\pi$
$311$	−21.0631	+	12.1608i	−1.19438	+	0.689576i	−0.235083	+	0.971975i	$0.575536\pi$
$312$	−12.7042	−	20.0628i	−0.719234	−	1.13583i
$313$	−9.95446	−	8.35279i	−0.562660	−	0.472127i	0.316541	−	0.948579i	$-0.397478\pi$
$313$	−9.95446	−	8.35279i	−0.562660	−	0.472127i	−0.879201	+	0.476451i	$0.841923\pi$
$314$	10.5877	−	3.85360i	0.597497	−	0.217471i
$315$	−0.359855	−	4.39029i	−0.0202755	−	0.247365i
$316$	0.953339	+	0.550411i	0.0536295	+	0.0309630i
$317$	3.29595	−	1.19963i	0.185119	−	0.0673777i	−0.247798	−	0.968812i	$-0.579707\pi$
$317$	3.29595	−	1.19963i	0.185119	−	0.0673777i	0.432916	+	0.901434i	$0.357485\pi$
$318$	9.71669	−	2.12621i	0.544885	−	0.119232i
$319$	−0.210395	−	0.578054i	−0.0117798	−	0.0323648i
$320$	0.554135	−	1.52247i	0.0309771	−	0.0851088i
$321$	−10.1201	+	2.21449i	−0.564851	+	0.123601i
$322$	−22.4349	+	12.9528i	−1.25025	+	0.721831i
$323$	−5.94505	−	19.1562i	−0.330791	−	1.06588i
$324$	7.07941	−	1.16839i	0.393301	−	0.0649108i
$325$	−10.8609	+	29.8401i	−0.602454	+	1.65523i
$326$	19.0083	−	15.9499i	1.05277	−	0.883383i
$327$	−2.14102	+	15.9252i	−0.118399	+	0.880665i
$328$	−1.80105	−	10.2142i	−0.0994461	−	0.563987i
$329$	−7.17054	+	8.54551i	−0.395324	+	0.471129i
$330$	−0.577992	+	0.365998i	−0.0318174	+	0.0201475i
$331$	12.5717	+	7.25826i	0.691002	+	0.398950i	0.803987	−	0.594646i	$-0.202708\pi$
$331$	12.5717	+	7.25826i	0.691002	+	0.398950i	−0.112985	+	0.993597i	$0.536041\pi$
$332$	−3.58835	−	9.85892i	−0.196937	−	0.541079i
$333$	−20.9458	−	1.94831i	−1.14783	−	0.106767i
$334$	−4.01972	−	6.96236i	−0.219949	−	0.380964i
$335$	1.39943			0.0764589
$336$	−21.4111	−	2.87856i	−1.16807	−	0.157039i
$337$	10.4323	−	1.83950i	0.568285	−	0.100204i	0.117879	−	0.993028i	$-0.462390\pi$
$337$	10.4323	−	1.83950i	0.568285	−	0.100204i	0.450406	+	0.892824i	$0.351279\pi$
$338$	−52.5740	+	19.1354i	−2.85965	+	1.04083i
$339$	33.9875	−	7.43714i	1.84595	−	0.403930i
$340$	0.371879	+	2.10903i	0.0201680	+	0.114378i
$341$	−1.21349			−0.0657143
$342$	−16.2716	+	14.6138i	−0.879870	+	0.790221i
$343$	−19.3007			−1.04214
$344$	−0.212373	−	1.20443i	−0.0114504	−	0.0649382i
$345$	−1.88863	+	5.93321i	−0.101681	+	0.319433i
$346$	12.3217	−	4.48474i	0.662421	−	0.241101i
$347$	−36.2146	+	6.38561i	−1.94410	+	0.342797i	−0.944190	+	0.329401i	$0.893153\pi$
$347$	−36.2146	+	6.38561i	−1.94410	+	0.342797i	−0.999910	+	0.0133969i	$0.995736\pi$
$348$	0.798213	+	1.94210i	0.0427887	+	0.104107i
$349$	20.8161			1.11426			0.557129	−	0.830426i	$-0.311903\pi$
$349$	20.8161			1.11426			0.557129	+	0.830426i	$0.311903\pi$
$350$	9.80012	+	16.9743i	0.523838	+	0.907315i
$351$	−1.83571	+	35.3671i	−0.0979829	+	1.88775i
$352$	0.590881	+	1.62343i	0.0314940	+	0.0865292i
$353$	0.460808	+	0.266047i	0.0245263	+	0.0141603i	0.512213	−	0.858858i	$-0.328826\pi$
$353$	0.460808	+	0.266047i	0.0245263	+	0.0141603i	−0.487687	+	0.873019i	$0.662159\pi$
$354$	−0.897433	−	21.9344i	−0.0476980	−	1.16580i
$355$	2.50270	−	2.98261i	0.132830	−	0.158300i
$356$	1.22495	+	6.94701i	0.0649220	+	0.368191i
$357$	−18.5417	+	7.62075i	−0.981333	+	0.403333i
$358$	0.486549	−	0.408263i	0.0257149	−	0.0215774i
$359$	9.26844	−	25.4648i	0.489170	−	1.34398i	−0.412264	−	0.911064i	$-0.635262\pi$
$359$	9.26844	−	25.4648i	0.489170	−	1.34398i	0.901433	−	0.432918i	$-0.142516\pi$
$360$	−2.89687	+	2.00483i	−0.152678	+	0.105664i
$361$	5.08294	−	18.3075i	0.267523	−	0.963551i
$362$	−18.4302	+	10.6407i	−0.968669	+	0.559261i
$363$	5.69303	−	17.8849i	0.298807	−	0.938712i
$364$	−4.67441	+	12.8428i	−0.245006	+	0.673148i
$365$	2.69813	+	7.41305i	0.141227	+	0.388017i
$366$	−22.3326	−	24.5063i	−1.16734	−	1.28097i
$367$	21.7105	−	7.90197i	1.13328	−	0.412480i	0.293797	−	0.955868i	$-0.405081\pi$
$367$	21.7105	−	7.90197i	1.13328	−	0.412480i	0.839482	+	0.543388i	$0.182859\pi$
$368$	26.4460	+	15.2686i	1.37859	+	0.795930i
$369$	−6.61380	+	13.9827i	−0.344301	+	0.727908i
$370$	−6.43340	+	2.34156i	−0.334456	+	0.121732i
$371$	6.61587	+	5.55137i	0.343479	+	0.288213i
$372$	4.13862	−	0.169330i	0.214578	−	0.00877933i
$373$	21.7086	−	12.5335i	1.12403	−	0.648959i	0.181604	−	0.983372i	$-0.441871\pi$
$373$	21.7086	−	12.5335i	1.12403	−	0.648959i	0.942427	+	0.334412i	$0.108538\pi$
$374$	2.38499	+	2.00125i	0.123325	+	0.103482i
$375$	9.30651	+	2.96241i	0.480586	+	0.152978i
$376$	8.78608	+	1.54922i	0.453107	+	0.0798951i
$377$	−10.2063	+	1.79964i	−0.525650	+	0.0926862i
$378$	15.9942	+	14.8998i	0.822651	+	0.766363i
$379$			19.7225i			1.01308i	0.862217	+	0.506538i	$0.169075\pi$
$379$			19.7225i			1.01308i	−0.862217	+	0.506538i	$0.830925\pi$
$380$	−0.784781	+	1.87072i	−0.0402584	+	0.0959657i
$381$	13.9714	+	22.0640i	0.715777	+	1.13037i
$382$	−21.0757	−	25.1170i	−1.07833	−	1.28510i
$383$	−20.0935	−	7.31344i	−1.02673	−	0.373700i	−0.226896	−	0.973919i	$-0.572858\pi$
$383$	−20.0935	−	7.31344i	−1.02673	−	0.373700i	−0.799835	+	0.600220i	$0.795080\pi$
$384$	8.68006	+	21.1191i	0.442953	+	1.07773i
$385$	−0.558188	−	0.203164i	−0.0284479	−	0.0103542i
$386$	−0.143715	−	0.0253408i	−0.00731489	−	0.00128981i
$387$	−0.779875	+	1.64878i	−0.0396433	+	0.0838124i
$388$	−2.53052	+	1.46100i	−0.128468	+	0.0741710i
$389$	−16.7165	+	19.9220i	−0.847562	+	1.01009i	0.152201	+	0.988350i	$0.451364\pi$
$389$	−16.7165	+	19.9220i	−0.847562	+	1.01009i	−0.999764	+	0.0217360i	$0.993081\pi$
$390$	4.38150	+	10.6605i	0.221866	+	0.539813i
$391$	28.3364			1.43303
$392$	0.677347	+	1.17320i	0.0342112	+	0.0592555i
$393$	−1.94649	+	14.4782i	−0.0981872	+	0.730328i
$394$	−8.34600	+	22.9304i	−0.420465	+	1.15522i
$395$	0.617480	+	0.518127i	0.0310688	+	0.0260698i
$396$	0.255545	−	0.933209i	0.0128416	−	0.0468955i
$397$	2.93642	+	1.06877i	0.147375	+	0.0536400i	0.414654	−	0.909979i	$-0.363903\pi$
$397$	2.93642	+	1.06877i	0.147375	+	0.0536400i	−0.267280	+	0.963619i	$0.586125\pi$
$398$	−7.71042	−	13.3548i	−0.386488	−	0.669417i
$399$	−18.6769	−	3.43310i	−0.935016	−	0.171870i
$400$	11.5523	−	20.0091i	0.577613	−	1.00045i
$401$	6.93201	−	5.81665i	0.346168	−	0.290470i	−0.453081	−	0.891469i	$-0.649675\pi$
$401$	6.93201	−	5.81665i	0.346168	−	0.290470i	0.799249	+	0.601000i	$0.205231\pi$
$402$	−5.13278	+	4.67751i	−0.256000	+	0.233293i
$403$	−3.55009	+	20.1336i	−0.176843	+	1.00293i
$404$	4.55452	+	5.42787i	0.226596	+	0.270046i
$405$	5.25362	+	0.0576149i	0.261054	+	0.00286291i
$406$	−3.19840	+	5.53980i	−0.158734	+	0.274935i
$407$	−1.41836	+	2.45667i	−0.0703054	+	0.121773i
$408$	12.6927	+	9.79485i	0.628382	+	0.484917i
$409$	−37.5505	−	6.62116i	−1.85675	−	0.327396i	−0.870439	−	0.492277i	$-0.836165\pi$
$409$	−37.5505	−	6.62116i	−1.85675	−	0.327396i	−0.986313	+	0.164881i	$0.947276\pi$
$410$			5.03406i			0.248614i
$411$	14.4448	+	22.8115i	0.712509	+	1.12521i
$412$	−0.0756449	−	0.207833i	−0.00372676	−	0.0102392i
$413$	14.6016	−	12.2522i	0.718498	−	0.602891i
$414$	−12.9043	−	28.0743i	−0.634213	−	1.37978i
$415$	−1.33403	−	7.56566i	−0.0654850	−	0.371384i
$416$	28.6637	−	5.05418i	1.40535	−	0.247802i
$417$	−0.398325	−	9.73554i	−0.0195060	−	0.476752i
$418$	0.874157	+	2.81671i	0.0427564	+	0.137770i
$419$	−10.2452	−	5.91508i	−0.500512	−	0.288971i	0.228413	−	0.973564i	$-0.426646\pi$
$419$	−10.2452	−	5.91508i	−0.500512	−	0.288971i	−0.728925	+	0.684594i	$0.759980\pi$
$420$	1.93205	+	0.615002i	0.0942745	+	0.0300090i
$421$	−2.25561	−	2.68813i	−0.109932	−	0.131011i	0.708273	−	0.705939i	$-0.249475\pi$
$421$	−2.25561	−	2.68813i	−0.109932	−	0.131011i	−0.818204	+	0.574928i	$0.805030\pi$
$422$	7.62419	−	9.08616i	0.371140	−	0.442307i
$423$	−9.35647	−	9.45964i	−0.454927	−	0.459944i
$424$	1.19940	−	6.80211i	0.0582478	−	0.330340i
$425$		−	21.4394i		−	1.03996i
$426$	0.789840	+	19.3047i	0.0382679	+	0.935314i
$427$	4.99905	−	28.3510i	0.241921	−	1.37200i
$428$	0.828024	−	4.69596i	0.0400240	−	0.226988i
$429$	4.22998	+	2.21675i	0.204225	+	0.107026i
$430$			0.593598i			0.0286258i
$431$	−0.452949	+	2.56880i	−0.0218178	+	0.123735i	−0.993771	−	0.111438i	$-0.964454\pi$
$431$	−0.452949	+	2.56880i	−0.0218178	+	0.123735i	0.971954	+	0.235173i	$0.0755655\pi$
$432$	5.78374	−	25.1096i	0.278270	−	1.20809i
$433$	3.13200	−	3.73257i	0.150514	−	0.179376i	−0.685519	−	0.728055i	$-0.740425\pi$
$433$	3.13200	−	3.73257i	0.150514	−	0.179376i	0.836033	+	0.548679i	$0.184869\pi$
$434$	8.11119	+	9.66654i	0.389350	+	0.464009i
$435$	0.328661	+	1.50197i	0.0157581	+	0.0720139i
$436$	−6.40523	−	3.69806i	−0.306755	−	0.177105i
$437$	22.5734	+	14.5244i	1.07983	+	0.694795i
$438$	−34.6738	−	18.1710i	−1.65678	−	0.868246i
$439$	16.1922	−	2.85513i	0.772814	−	0.136268i	0.226684	−	0.973968i	$-0.427212\pi$
$439$	16.1922	−	2.85513i	0.772814	−	0.136268i	0.546130	+	0.837700i	$0.316100\pi$
$440$	0.0824944	+	0.467849i	0.00393276	+	0.0223038i
$441$	0.187115	−	2.01163i	0.00891023	−	0.0957920i
$442$	40.1809	−	33.7158i	1.91121	−	1.60370i
$443$	5.60350	+	15.3955i	0.266230	+	0.731461i	0.998715	+	0.0506781i	$0.0161382\pi$
$443$	5.60350	+	15.3955i	0.266230	+	0.731461i	−0.732485	+	0.680783i	$0.761640\pi$
$444$	4.49452	−	8.57640i	0.213300	−	0.407018i
$445$			5.16533i			0.244860i
$446$	22.7605	+	4.01329i	1.07774	+	0.190035i
$447$	−32.4836	+	13.3509i	−1.53642	+	0.631478i
$448$	−3.49040	+	6.04556i	−0.164906	+	0.285626i
$449$	−12.6656	+	21.9375i	−0.597728	+	1.03529i	0.395428	+	0.918497i	$0.370596\pi$
$449$	−12.6656	+	21.9375i	−0.597728	+	1.03529i	−0.993156	+	0.116798i	$0.962737\pi$
$450$	−21.2411	+	9.76345i	−1.00131	+	0.460254i
$451$	1.34075	+	1.59784i	0.0631334	+	0.0752394i
$452$	−2.78083	+	15.7709i	−0.130799	+	0.741800i
$453$	1.47250	+	0.468720i	0.0691842	+	0.0220224i
$454$	−12.4436	+	10.4415i	−0.584009	+	0.490042i
$455$	−5.00377	+	8.66679i	−0.234580	+	0.406305i
$456$	5.09072	+	14.3087i	0.238395	+	0.670066i
$457$	10.8524	+	18.7969i	0.507654	+	0.879282i	0.999961	+	0.00886020i	$0.00282033\pi$
$457$	10.8524	+	18.7969i	0.507654	+	0.879282i	−0.492307	+	0.870422i	$0.663846\pi$
$458$	−3.53371	−	1.28616i	−0.165119	−	0.0600985i
$459$	−7.00211	−	22.8618i	−0.326831	−	1.06710i
$460$	−2.19549	−	1.84223i	−0.102365	−	0.0858945i
$461$	−7.95923	+	21.8678i	−0.370698	+	1.01849i	0.604394	+	0.796686i	$0.293415\pi$
$461$	−7.95923	+	21.8678i	−0.370698	+	1.01849i	−0.975092	+	0.221800i	$0.928807\pi$
$462$	2.72637	−	1.12055i	0.126842	−	0.0521328i
$463$	−12.5052	−	21.6596i	−0.581165	−	1.00661i	−0.995342	−	0.0964113i	$-0.969264\pi$
$463$	−12.5052	−	21.6596i	−0.581165	−	1.00661i	0.414176	−	0.910197i	$-0.364070\pi$
$464$	7.54047			0.350058
$465$	3.00595	+	0.404127i	0.139397	+	0.0187409i
$466$	31.0620	−	37.0182i	1.43892	−	1.71484i
$467$	−13.6784	+	7.89724i	−0.632961	+	0.365440i	−0.781898	−	0.623406i	$-0.785748\pi$
$467$	−13.6784	+	7.89724i	−0.632961	+	0.365440i	0.148937	+	0.988847i	$0.452415\pi$
$468$	−14.7357	−	6.96998i	−0.681157	−	0.322187i
$469$	−5.93805	−	1.04704i	−0.274194	−	0.0483477i
$470$	−4.06905	−	1.48101i	−0.187691	−	0.0683141i
$471$	−7.12860	+	9.23763i	−0.328469	+	0.425648i
$472$	−14.3249	−	5.21384i	−0.659357	−	0.239986i
$473$	0.158096	+	0.188412i	0.00726927	+	0.00866318i
$474$	−3.99659	+	0.163518i	−0.183569	+	0.00751064i
$475$	10.9892	−	17.0791i	0.504219	−	0.783641i
$476$		−	9.22728i		−	0.422931i
$477$	−7.32358	+	7.24370i	−0.335324	+	0.331666i
$478$	−16.6444	+	2.93486i	−0.761298	+	0.134237i
$479$	25.3043	+	4.46184i	1.15618	+	0.203867i	0.718674	−	0.695347i	$-0.244749\pi$
$479$	25.3043	+	4.46184i	1.15618	+	0.203867i	0.437510	+	0.899213i	$0.355860\pi$
$480$	−0.923024	−	4.21819i	−0.0421301	−	0.192533i
$481$	36.6103	+	30.7197i	1.66928	+	1.40070i
$482$	−9.64287	+	5.56731i	−0.439221	+	0.253584i
$483$	12.4530	−	23.7627i	0.566631	−	1.08124i
$484$	6.61800	+	5.55316i	0.300818	+	0.252416i
$485$	−2.01056	+	0.731785i	−0.0912949	+	0.0332286i
$486$	−19.4617	+	17.3486i	−0.882799	+	0.786948i
$487$	−17.2791	−	9.97610i	−0.782991	−	0.452060i	0.0544981	−	0.998514i	$-0.482644\pi$
$487$	−17.2791	−	9.97610i	−0.782991	−	0.452060i	−0.837489	+	0.546454i	$0.815977\pi$
$488$	−21.6353	+	7.87460i	−0.979383	+	0.356466i
$489$	−7.79446	+	24.4866i	−0.352478	+	1.10732i
$490$	−0.224883	−	0.617861i	−0.0101592	−	0.0279121i
$491$	14.3825	−	39.5156i	0.649074	−	1.78332i	0.0279416	−	0.999610i	$-0.491105\pi$
$491$	14.3825	−	39.5156i	0.649074	−	1.78332i	0.621132	−	0.783706i	$-0.286673\pi$
$492$	−4.79559	−	5.26236i	−0.216202	−	0.237246i
$493$	6.05961	−	3.49851i	0.272911	−	0.157565i
$494$	49.2907	−	6.26318i	2.21769	−	0.281794i
$495$	0.302936	−	0.640456i	0.0136160	−	0.0287864i
$496$	5.08750	−	13.9778i	0.228435	−	0.627621i
$497$	−12.8510	+	10.7833i	−0.576447	+	0.483697i
$498$	30.1807	+	23.2902i	1.35243	+	1.04366i
$499$	0.982528	+	5.57219i	0.0439840	+	0.249446i	0.998870	−	0.0475271i	$-0.0151340\pi$
$499$	0.982528	+	5.57219i	0.0439840	+	0.249446i	−0.954886	+	0.296973i	$0.904023\pi$
$500$	−2.88962	+	3.44372i	−0.129228	+	0.154008i
$501$	7.37444	+	3.86462i	0.329465	+	0.172659i
$502$	29.2581	+	16.8922i	1.30585	+	0.753934i
$503$	1.26270	+	3.46923i	0.0563009	+	0.154685i	0.964655	−	0.263517i	$-0.0848825\pi$
$503$	1.26270	+	3.46923i	0.0563009	+	0.154685i	−0.908354	+	0.418202i	$0.862660\pi$
$504$	13.7920	−	6.33947i	0.614344	−	0.282383i
$505$	2.59416	+	4.49322i	0.115439	+	0.199946i
$506$	−4.16657			−0.185226
$507$	35.3977	−	45.8702i	1.57207	−	2.03717i
$508$	−11.8380	+	2.08736i	−0.525228	+	0.0926118i
$509$	4.87591	−	1.77469i	0.216121	−	0.0786616i	−0.231691	−	0.972790i	$-0.574426\pi$
$509$	4.87591	−	1.77469i	0.216121	−	0.0786616i	0.447812	+	0.894128i	$0.352203\pi$
$510$	−5.24140	−	5.75157i	−0.232093	−	0.254684i
$511$	−5.90232	−	33.4737i	−0.261103	−	1.48079i
$512$	−1.22629			−0.0541947
$513$	6.14027	−	21.8013i	0.271099	−	0.962551i
$514$	−28.0008			−1.23506
$515$	−0.0281222	−	0.159489i	−0.00123921	−	0.00702793i
$516$	−0.565479	−	0.620519i	−0.0248938	−	0.0273168i
$517$	−1.68599	+	0.613650i	−0.0741497	+	0.0269883i
$518$	29.0501	−	5.12232i	1.27639	−	0.225062i
$519$	−8.29614	+	10.7506i	−0.364160	+	0.471898i
$520$	8.00363			0.350982
$521$	−18.4067	−	31.8814i	−0.806413	−	1.39675i	−0.915333	−	0.402698i	$-0.868072\pi$
$521$	−18.4067	−	31.8814i	−0.806413	−	1.39675i	0.108919	−	0.994051i	$-0.465261\pi$
$522$	−6.22570	−	4.41035i	−0.272491	−	0.193036i
$523$	−2.82677	−	7.76649i	−0.123606	−	0.339605i	0.862421	−	0.506192i	$-0.168947\pi$
$523$	−2.82677	−	7.76649i	−0.123606	−	0.339605i	−0.986027	+	0.166587i	$0.946725\pi$
$524$	−5.82324	−	3.36205i	−0.254389	−	0.146872i
$525$	−17.9789	−	9.42198i	−0.784665	−	0.411209i
$526$	−0.412764	+	0.491913i	−0.0179974	+	0.0214484i
$527$	−2.39683	−	13.5931i	−0.104408	−	0.592126i
$528$	−2.75083	−	2.12280i	−0.119715	−	0.0923828i
$529$	−11.4308	+	9.59155i	−0.496990	+	0.417024i
$530$	−1.14659	+	3.15023i	−0.0498046	+	0.136837i
$531$	12.9376	+	18.6942i	0.561445	+	0.811258i
$532$	4.72963	−	7.35065i	0.205056	−	0.318691i
$533$	30.4329	−	17.5704i	1.31819	−	0.761060i
$534$	−17.2648	−	18.9453i	−0.747122	−	0.819842i
$535$	1.19420	−	3.28103i	0.0516297	−	0.141851i
$536$	1.64931	+	4.53145i	0.0712395	+	0.195729i
$537$	−0.199512	+	0.626774i	−0.00860957	+	0.0270473i
$538$	−49.6189	+	18.0598i	−2.13922	+	0.778613i
$539$	−0.235938	−	0.136219i	−0.0101626	−	0.00586735i
$540$	−0.943796	+	2.22655i	−0.0406145	+	0.0958155i
$541$	−10.7032	+	3.89566i	−0.460168	+	0.167487i	−0.561693	−	0.827346i	$-0.689850\pi$
$541$	−10.7032	+	3.89566i	−0.460168	+	0.167487i	0.101526	+	0.994833i	$0.467628\pi$
$542$	11.7405	+	9.85141i	0.504296	+	0.423154i
$543$	10.2301	−	19.5210i	0.439015	−	0.837725i
$544$	−17.0180	+	9.82537i	−0.729642	+	0.421259i
$545$	−4.14868	−	3.48116i	−0.177710	−	0.149116i
$546$	−10.6155	−	48.5126i	−0.454303	−	2.07615i
$547$	−1.77811	−	0.313528i	−0.0760264	−	0.0134055i	0.135506	−	0.990777i	$-0.456734\pi$
$547$	−1.77811	−	0.313528i	−0.0760264	−	0.0134055i	−0.211532	+	0.977371i	$0.567845\pi$
$548$	−12.2391	+	2.15809i	−0.522829	+	0.0921889i
$549$	33.1172	+	9.06863i	1.41341	+	0.387040i
$550$			3.15244i			0.134420i
$551$	6.62045	+	0.318983i	0.282041	+	0.0135891i
$552$	−21.4380	+	0.877126i	−0.912464	+	0.0373330i
$553$	−2.23243	−	2.66051i	−0.0949326	−	0.113136i
$554$	20.0767	+	7.30733i	0.852978	+	0.310459i
$555$	4.33156	−	5.61307i	0.183865	−	0.238262i
$556$	4.21443	+	1.53393i	0.178732	+	0.0650530i
$557$	2.75569	+	0.485903i	0.116763	+	0.0205884i	0.231724	−	0.972782i	$-0.425563\pi$
$557$	2.75569	+	0.485903i	0.116763	+	0.0205884i	−0.114962	+	0.993370i	$0.536674\pi$
$558$	−12.3759	+	8.56495i	−0.523913	+	0.362583i
$559$	3.58853	−	2.07184i	0.151779	−	0.0876296i
$560$	4.68034	−	5.57782i	0.197781	−	0.235706i
$561$	−3.19550	−	0.429611i	−0.134914	−	0.0181382i
$562$	4.02930			0.169966
$563$	−18.1046	−	31.3580i	−0.763017	−	1.32158i	−0.941289	−	0.337602i	$-0.890384\pi$
$563$	−18.1046	−	31.3580i	−0.763017	−	1.32158i	0.178272	−	0.983981i	$-0.442949\pi$
$564$	5.66445	−	2.32812i	0.238516	−	0.0980315i
$565$	−4.01059	+	11.0190i	−0.168727	+	0.463573i
$566$	35.5429	+	29.8241i	1.49398	+	1.25360i
$567$	−22.2490	−	4.17518i	−0.934371	−	0.175341i
$568$	12.6075	+	4.58876i	0.528999	+	0.192540i
$569$	−7.47528	−	12.9476i	−0.313380	−	0.542790i	0.665712	−	0.746209i	$-0.268128\pi$
$569$	−7.47528	−	12.9476i	−0.313380	−	0.542790i	−0.979092	+	0.203419i	$0.934795\pi$
$570$	−1.22733	−	7.26841i	−0.0514073	−	0.304440i
$571$	−7.37174	+	12.7682i	−0.308498	+	0.534334i	−0.978034	−	0.208446i	$-0.933160\pi$
$571$	−7.37174	+	12.7682i	−0.308498	+	0.534334i	0.669536	+	0.742779i	$0.266493\pi$
$572$	−1.68389	+	1.41295i	−0.0704071	+	0.0590785i
$573$	32.3558	+	10.2994i	1.35168	+	0.430262i
$574$	3.76643	−	21.3605i	0.157208	−	0.891570i
$575$	18.4427	+	21.9792i	0.769114	+	0.916594i
$576$	−6.79408	−	4.81300i	−0.283087	−	0.200541i
$577$	−18.2291	+	31.5737i	−0.758886	+	1.31443i	0.184533	+	0.982826i	$0.440923\pi$
$577$	−18.2291	+	31.5737i	−0.758886	+	1.31443i	−0.943419	+	0.331603i	$0.892411\pi$
$578$	−3.49034	+	6.04544i	−0.145179	+	0.251457i
$579$	0.139782	−	0.0574513i	0.00580916	−	0.00238759i
$580$	−0.696944	−	0.122890i	−0.0289390	−	0.00510273i
$581$			33.1007i			1.37325i
$582$	4.92834	−	9.40421i	0.204286	−	0.389817i
$583$	0.475083	+	1.30528i	0.0196759	+	0.0540591i
$584$	−20.8241	+	17.4735i	−0.861707	+	0.723058i
$585$	−9.73985	−	6.89981i	−0.402693	−	0.285272i
$586$	−9.06955	−	51.4360i	−0.374660	−	2.12480i
$587$	−2.93026	+	0.516683i	−0.120945	+	0.0213258i	−0.233793	−	0.972286i	$-0.575114\pi$
$587$	−2.93026	+	0.516683i	−0.120945	+	0.0213258i	0.112848	+	0.993612i	$0.464003\pi$
$588$	0.823675	+	0.431652i	0.0339678	+	0.0178010i
$589$	5.05806	−	12.0571i	0.208414	−	0.496805i
$590$	6.40767	+	3.69947i	0.263800	+	0.152305i
$591$	−5.40198	−	24.6869i	−0.222208	−	1.01548i
$592$	−22.3511	−	26.6370i	−0.918625	−	1.09478i
$593$	−1.72884	+	2.06035i	−0.0709948	+	0.0846083i	−0.800373	−	0.599503i	$-0.795365\pi$
$593$	−1.72884	+	2.06035i	−0.0709948	+	0.0846083i	0.729378	+	0.684111i	$0.239810\pi$
$594$	1.02959	+	3.36159i	0.0422445	+	0.137928i
$595$	1.17326	−	6.65391i	0.0480991	−	0.272784i
$596$		−	16.1654i		−	0.662162i
$597$	14.1452	+	7.41291i	0.578926	+	0.303390i
$598$	−12.1894	+	69.1293i	−0.498460	+	2.82691i
$599$	−4.10439	+	23.2772i	−0.167701	+	0.951080i	0.778535	+	0.627602i	$0.215963\pi$
$599$	−4.10439	+	23.2772i	−0.167701	+	0.951080i	−0.946236	+	0.323478i	$0.895148\pi$
$600$	0.663636	+	16.2201i	0.0270928	+	0.662182i
$601$		−	15.5567i		−	0.634573i	−0.948330	−	0.317286i	$-0.897228\pi$
$601$		−	15.5567i		−	0.634573i	0.948330	−	0.317286i	$-0.102772\pi$
$602$	0.444124	−	2.51875i	0.0181011	−	0.102657i
$603$	1.89940	−	6.93631i	0.0773496	−	0.282468i
$604$	−0.457205	+	0.544875i	−0.0186034	+	0.0221707i
$605$	4.06623	+	4.84595i	0.165316	+	0.197016i
$606$	−24.5331	−	7.80928i	−0.996590	−	0.317230i
$607$	4.10356	+	2.36919i	0.166558	+	0.0961626i	0.580962	−	0.813931i	$-0.302676\pi$
$607$	4.10356	+	2.36919i	0.166558	+	0.0961626i	−0.414404	+	0.910093i	$0.636010\pi$
$608$	−18.5931	−	0.895844i	−0.754051	−	0.0363313i
$609$	−0.270815	−	6.61905i	−0.0109740	−	0.268217i
$610$	11.0050	−	1.94049i	0.445581	−	0.0785680i
$611$	5.24894	+	29.7682i	0.212350	+	1.20429i
$612$	10.9582	+	1.01930i	0.442960	+	0.0412026i
$613$	29.7951	−	25.0010i	1.20341	−	1.00978i	0.203885	−	0.978995i	$-0.434643\pi$
$613$	29.7951	−	25.0010i	1.20341	−	1.00978i	0.999526	−	0.0307869i	$-0.00980132\pi$
$614$	6.48258	+	17.8107i	0.261615	+	0.718783i
$615$	−2.78905	−	4.40453i	−0.112465	−	0.177608i
$616$		−	2.04690i		−	0.0824718i
$617$	7.63422	+	1.34612i	0.307342	+	0.0541927i	0.325192	−	0.945648i	$-0.394571\pi$
$617$	7.63422	+	1.34612i	0.307342	+	0.0541927i	−0.0178500	+	0.999841i	$0.505682\pi$
$618$	0.636230	+	0.490973i	0.0255929	+	0.0197498i
$619$	−13.1572	+	22.7889i	−0.528833	+	0.915965i	0.470602	+	0.882346i	$0.344037\pi$
$619$	−13.1572	+	22.7889i	−0.528833	+	0.915965i	−0.999435	+	0.0336194i	$0.989297\pi$
$620$	−0.698024	+	1.20901i	−0.0280333	+	0.0485551i
$621$	26.8447	+	17.4140i	1.07724	+	0.698801i
$622$	26.1472	+	31.1610i	1.04841	+	1.24944i
$623$	3.86465	−	21.9175i	0.154834	−	0.878107i
$624$	−43.2679	+	39.4300i	−1.73210	+	1.57846i
$625$	15.3242	−	12.8585i	0.612968	−	0.514341i
$626$	−10.8667	+	18.8217i	−0.434322	+	0.752268i
$627$	−2.32540	−	1.98016i	−0.0928675	−	0.0790799i
$628$	−2.68540	−	4.65126i	−0.107159	−	0.185605i
$629$	−30.3202	−	11.0357i	−1.20895	−	0.440021i
$630$	−7.12668	+	1.86777i	−0.283934	+	0.0744136i
$631$	−4.47423	−	3.75433i	−0.178116	−	0.149457i	0.549371	−	0.835579i	$-0.314867\pi$
$631$	−4.47423	−	3.75433i	−0.178116	−	0.149457i	−0.727487	+	0.686121i	$0.759312\pi$
$632$	−0.949996	+	2.61009i	−0.0377888	+	0.103824i
$633$	−1.63670	+	12.1740i	−0.0650530	+	0.483872i
$634$	−2.93312	−	5.08031i	−0.116489	−	0.201765i
$635$	−8.80197			−0.349296
$636$	−1.80241	−	4.38537i	−0.0714702	−	0.173891i
$637$	−2.95031	+	3.51604i	−0.116895	+	0.139310i
$638$	−0.891002	+	0.514420i	−0.0352751	+	0.0203661i
$639$	−11.3865	−	16.4529i	−0.450445	−	0.650868i
$640$	−7.57882	−	1.33635i	−0.299579	−	0.0528239i
$641$	3.00755	+	1.09466i	0.118791	+	0.0432364i	0.400732	−	0.916195i	$-0.368756\pi$
$641$	3.00755	+	1.09466i	0.118791	+	0.0432364i	−0.281941	+	0.959432i	$0.590978\pi$
$642$	6.58661	+	16.0256i	0.259953	+	0.632480i
$643$	37.2042	+	13.5412i	1.46719	+	0.534014i	0.947336	−	0.320241i	$-0.103764\pi$
$643$	37.2042	+	13.5412i	1.46719	+	0.534014i	0.519854	+	0.854255i	$0.325986\pi$
$644$	7.93754	+	9.45959i	0.312783	+	0.372760i
$645$	−0.328874	−	0.519366i	−0.0129494	−	0.0204500i
$646$	−29.8253	+	15.3555i	−1.17346	+	0.604152i
$647$		−	27.5631i		−	1.08362i	−0.840502	−	0.541808i	$-0.817740\pi$
$647$		−	27.5631i		−	1.08362i	0.840502	−	0.541808i	$-0.182260\pi$
$648$	6.00516	+	17.0795i	0.235905	+	0.670947i
$649$	3.01914	−	0.532355i	0.118512	−	0.0208968i
$650$	52.3035	+	9.22251i	2.05151	+	0.361737i
$651$	−12.4525	−	3.96381i	−0.488050	−	0.155354i
$652$	−9.06086	−	7.60296i	−0.354851	−	0.297755i
$653$	11.5332	−	6.65868i	0.451328	−	0.260574i	−0.257063	−	0.966395i	$-0.582755\pi$
$653$	11.5332	−	6.65868i	0.451328	−	0.260574i	0.708391	+	0.705820i	$0.249421\pi$
$654$	26.8520	−	1.09863i	1.05000	−	0.0429600i
$655$	−3.77172	−	3.16485i	−0.147373	−	0.123661i
$656$	−24.0260	+	8.74475i	−0.938057	+	0.341425i
$657$	40.4051	−	3.31185i	1.57635	−	0.129208i
$658$	16.1577	+	9.32866i	0.629893	+	0.363669i
$659$	−10.4541	+	3.80498i	−0.407234	+	0.148221i	−0.537511	−	0.843257i	$-0.680635\pi$
$659$	−10.4541	+	3.80498i	−0.407234	+	0.148221i	0.130278	+	0.991478i	$0.458413\pi$
$660$	0.219655	+	0.241035i	0.00855008	+	0.00938228i
$661$	−0.791010	−	2.17328i	−0.0307667	−	0.0845308i	0.923358	−	0.383939i	$-0.125433\pi$
$661$	−0.791010	−	2.17328i	−0.0307667	−	0.0845308i	−0.954125	+	0.299409i	$0.903211\pi$
$662$	8.30385	−	22.8146i	0.322738	−	0.886716i
$663$	−16.4764	+	51.7611i	−0.639889	+	2.01024i
$664$	22.9260	−	13.2363i	0.889700	−	0.513668i
$665$	4.34525	−	4.69927i	0.168501	−	0.182230i
$666$	2.87418	+	35.0655i	0.111372	+	1.35876i
$667$	−3.20266	+	8.79923i	−0.124007	+	0.340707i
$668$	−2.93566	+	2.46331i	−0.113584	+	0.0953083i
$669$	−22.1377	+	9.09871i	−0.855893	+	0.351777i
$670$	−0.406430	−	2.30498i	−0.0157018	−	0.0890491i
$671$	2.97625	−	3.54696i	0.114897	−	0.136929i
$672$	0.760567	+	18.5892i	0.0293395	+	0.717094i
$673$	14.0225	+	8.09588i	0.540527	+	0.312073i	0.745292	−	0.666738i	$-0.232310\pi$
$673$	14.0225	+	8.09588i	0.540527	+	0.312073i	−0.204766	+	0.978811i	$0.565643\pi$
$674$	−6.05963	−	16.6487i	−0.233408	−	0.641284i
$675$	13.1755	−	20.3108i	0.507125	−	0.781763i
$676$	13.3346	+	23.0962i	0.512869	+	0.888316i
$677$	−42.1547			−1.62014			−0.810068	−	0.586336i	$-0.800570\pi$
$677$	−42.1547			−1.62014			−0.810068	+	0.586336i	$0.800570\pi$
$678$	−22.1205	−	53.8204i	−0.849531	−	2.06696i
$679$	9.07873	−	1.60082i	0.348410	−	0.0614340i
$680$	−5.07774	+	1.84815i	−0.194723	+	0.0708732i
$681$	5.10257	−	16.0299i	0.195531	−	0.614268i
$682$	0.352429	+	1.99873i	0.0134952	+	0.0765352i
$683$	−13.0918			−0.500945			−0.250472	−	0.968124i	$-0.580586\pi$
$683$	−13.0918			−0.500945			−0.250472	+	0.968124i	$0.580586\pi$
$684$	8.20710	+	6.42886i	0.313806	+	0.245814i
$685$	−9.10020			−0.347701
$686$	5.60543	+	31.7900i	0.214016	+	1.21375i
$687$	3.80438	−	0.832475i	0.145146	−	0.0317609i
$688$	−2.83306	+	1.03115i	−0.108009	+	0.0393122i
$689$	23.0463	−	4.06369i	0.877995	−	0.154814i
$690$	10.3210	+	1.38758i	0.392914	+	0.0528244i
$691$	−27.9540			−1.06342			−0.531710	−	0.846927i	$-0.678450\pi$
$691$	−27.9540			−1.06342			−0.531710	+	0.846927i	$0.678450\pi$
$692$	−3.12522	−	5.41305i	−0.118803	−	0.205773i
$693$	−1.76460	+	2.49093i	−0.0670316	+	0.0946225i
$694$	21.0353	+	57.7940i	0.798489	+	2.19383i
$695$	2.84404	+	1.64201i	0.107881	+	0.0622849i
$696$	−4.47614	+	2.83439i	−0.169668	+	0.107437i
$697$	−15.2503	+	18.1746i	−0.577646	+	0.688412i
$698$	−6.04552	−	34.2858i	−0.228826	−	1.29774i
$699$	−6.66814	+	49.5984i	−0.252212	+	1.87598i
$700$	7.15716	−	6.00557i	0.270515	−	0.226989i
$701$	−5.74896	+	15.7951i	−0.217135	+	0.596574i	−0.999661	−	0.0260446i	$-0.991709\pi$
$701$	−5.74896	+	15.7951i	−0.217135	+	0.596574i	0.782526	+	0.622618i	$0.213931\pi$
$702$	58.7858	−	7.24794i	2.21873	−	0.273556i
$703$	−18.4972	−	24.3325i	−0.697635	−	0.917718i
$704$	−0.972347	+	0.561385i	−0.0366467	+	0.0211580i
$705$	4.38073	−	0.958592i	0.164988	−	0.0361027i
$706$	0.304373	−	0.836257i	0.0114552	−	0.0314730i
$707$	−7.64576	−	21.0065i	−0.287548	−	0.790033i
$708$	−10.2225	+	2.23689i	−0.384185	+	0.0840674i
$709$	−31.7248	+	11.5469i	−1.19145	+	0.433652i	−0.860232	−	0.509903i	$-0.829681\pi$
$709$	−31.7248	+	11.5469i	−1.19145	+	0.433652i	−0.331217	+	0.943555i	$0.607459\pi$
$710$	−5.63946	−	3.25595i	−0.211645	−	0.122193i
$711$	3.40620	−	2.35732i	0.127742	−	0.0884064i
$712$	−16.7257	+	6.08767i	−0.626824	+	0.228145i
$713$	14.1503	+	11.8735i	0.529934	+	0.444667i
$714$	17.9370	+	28.3266i	0.671277	+	1.06010i
$715$	−1.39394	+	0.804789i	−0.0521303	+	0.0300974i
$716$	−0.231927	−	0.194610i	−0.00866753	−	0.00727293i
$717$	12.9369	−	11.7894i	0.483139	−	0.440285i
$718$	−44.6346	−	7.87028i	−1.66575	−	0.293716i
$719$	−21.8362	+	3.85031i	−0.814352	+	0.143592i	−0.565287	−	0.824895i	$-0.691234\pi$
$719$	−21.8362	+	3.85031i	−0.814352	+	0.143592i	−0.249065	+	0.968487i	$0.580123\pi$
$720$	6.10715	+	6.17449i	0.227600	+	0.230110i
$721$			0.697785i			0.0259869i
$722$	−31.6302	−	3.05507i	−1.17715	−	0.113698i
$723$	5.35250	−	10.2136i	0.199061	−	0.379847i
$724$	6.52066	+	7.77102i	0.242338	+	0.288808i
$725$	6.65752	+	2.42314i	0.247254	+	0.0899931i
$726$	−31.1113	−	4.18269i	−1.15465	−	0.155234i
$727$	8.67338	+	3.15685i	0.321678	+	0.117081i	0.497812	−	0.867285i	$-0.334137\pi$
$727$	8.67338	+	3.15685i	0.321678	+	0.117081i	−0.176134	+	0.984366i	$0.556359\pi$
$728$	−33.9610	−	5.98823i	−1.25868	−	0.221939i
$729$	7.41615	−	25.9615i	0.274672	−	0.961538i
$730$	11.4263	−	6.59699i	0.422907	−	0.244166i
$731$	−1.79826	+	2.14308i	−0.0665110	+	0.0792647i
$732$	−9.65559	+	12.5122i	−0.356881	+	0.462465i
$733$	6.15965			0.227512			0.113756	−	0.993509i	$-0.463712\pi$
$733$	6.15965			0.227512			0.113756	+	0.993509i	$0.463712\pi$
$734$	−19.3205	−	33.4641i	−0.713134	−	1.23518i
$735$	0.539077	+	0.416002i	0.0198842	+	0.0153445i
$736$	8.99447	−	24.7121i	0.331540	−	0.910900i
$737$	−0.742901	−	0.623368i	−0.0273651	−	0.0229621i
$738$	24.9515	+	6.83258i	0.918476	+	0.251511i
$739$	41.0076	+	14.9256i	1.50849	+	0.549045i	0.958243	−	0.285956i	$-0.0923112\pi$
$739$	41.0076	+	14.9256i	1.50849	+	0.549045i	0.550247	+	0.835002i	$0.314533\pi$
$740$	1.63173	+	2.82625i	0.0599838	+	0.103895i
$741$	−39.6567	+	32.7887i	−1.45682	+	1.20452i
$742$	7.22217	−	12.5092i	0.265134	−	0.459226i
$743$	−23.7032	+	19.8893i	−0.869585	+	0.729668i	−0.964011	−	0.265864i	$-0.914343\pi$
$743$	−23.7032	+	19.8893i	−0.869585	+	0.729668i	0.0944259	+	0.995532i	$0.469898\pi$
$744$	2.23410	+	10.2098i	0.0819062	+	0.374308i
$745$	2.05546	−	11.6571i	0.0753063	−	0.427083i
$746$	−26.9485	−	32.1160i	−0.986654	−	1.17585i
$747$	−39.3101	−	3.65649i	−1.43828	−	0.133784i
$748$	0.742042	−	1.28525i	0.0271317	−	0.0469935i
$749$	−7.52205	+	13.0286i	−0.274850	+	0.476054i
$750$	2.17649	−	16.1890i	0.0794741	−	0.591138i
$751$	−43.4447	−	7.66048i	−1.58532	−	0.279535i	−0.689613	−	0.724178i	$-0.742219\pi$
$751$	−43.4447	−	7.66048i	−1.58532	−	0.279535i	−0.895708	+	0.444643i	$0.853330\pi$
$752$		−	21.9930i		−	0.802003i
$753$	−34.9581	+	1.43029i	−1.27394	+	0.0521227i
$754$	5.92833	+	16.2880i	0.215897	+	0.593172i
$755$	−0.398978	+	0.334782i	−0.0145203	+	0.0121840i
$756$	5.67060	−	8.74156i	0.206238	−	0.317927i
$757$	2.66165	+	15.0949i	0.0967392	+	0.548635i	0.994201	+	0.107542i	$0.0342980\pi$
$757$	2.66165	+	15.0949i	0.0967392	+	0.548635i	−0.897461	+	0.441093i	$0.854591\pi$
$758$	32.4847	−	5.72792i	1.17990	−	0.208048i
$759$	3.64552	−	2.30842i	0.132324	−	0.0837905i
$760$	−4.99235	−	1.13043i	−0.181091	−	0.0410049i
$761$	−23.7318	−	13.7015i	−0.860276	−	0.496680i	0.00382896	−	0.999993i	$-0.498781\pi$
$761$	−23.7318	−	13.7015i	−0.860276	−	0.496680i	−0.864105	+	0.503312i	$0.832115\pi$
$762$	32.2836	−	29.4201i	1.16951	−	1.06578i
$763$	14.9991	+	17.8752i	0.543004	+	0.647127i
$764$	−10.0463	+	11.9727i	−0.363463	+	0.433159i
$765$	7.77251	+	2.12838i	0.281016	+	0.0769519i
$766$	−6.21020	+	35.2198i	−0.224384	+	1.27254i
$767$		−	51.6493i		−	1.86495i
$768$	24.1414	−	15.2869i	0.871129	−	0.551618i
$769$	2.63093	−	14.9208i	0.0948739	−	0.538056i	−0.899912	−	0.436071i	$-0.856370\pi$
$769$	2.63093	−	14.9208i	0.0948739	−	0.538056i	0.994786	−	0.101985i	$-0.0325194\pi$
$770$	−0.172516	+	0.978388i	−0.00621705	+	0.0352587i
$771$	24.4991	−	15.5134i	0.882315	−	0.558702i
$772$			0.0695625i			0.00250361i
$773$	2.17005	−	12.3070i	0.0780513	−	0.442651i	−0.920590	−	0.390531i	$-0.872291\pi$
$773$	2.17005	−	12.3070i	0.0780513	−	0.442651i	0.998641	−	0.0521193i	$-0.0165976\pi$
$774$	2.94219	+	0.805672i	0.105755	+	0.0289593i
$775$	8.98355	−	10.7062i	0.322699	−	0.384577i
$776$	−4.73915	−	5.64790i	−0.170126	−	0.202748i
$777$	−22.5793	+	20.5765i	−0.810028	+	0.738179i
$778$	37.6682	+	21.7477i	1.35047	+	0.779694i
$779$	−21.4645	+	6.66142i	−0.769045	+	0.238670i
$780$	4.64173	−	2.93925i	0.166201	−	0.105242i
$781$	−2.65717	+	0.468532i	−0.0950812	+	0.0167654i
$782$	−8.22961	−	46.6724i	−0.294290	−	1.66900i
$783$	7.89063	+	0.409559i	0.281988	+	0.0146364i
$784$	2.55821	−	2.14659i	0.0913647	−	0.0766641i
$785$	−1.34506	−	3.69554i	−0.0480074	−	0.131899i
$786$	24.4121	−	0.998810i	0.870752	−	0.0356264i
$787$		−	5.78002i		−	0.206035i	−0.994680	−	0.103018i	$-0.967150\pi$
$787$		−	5.78002i		−	0.206035i	0.994680	−	0.103018i	$-0.0328498\pi$
$788$	11.4552	+	2.01986i	0.408075	+	0.0719547i
$789$	0.0886089	−	0.659084i	0.00315456	−	0.0234640i
$790$	0.674068	−	1.16752i	0.0239823	−	0.0415385i
$791$	25.2620	−	43.7551i	0.898215	−	1.55575i
$792$	2.43087	+	0.226111i	0.0863774	+	0.00803452i
$793$	−50.1421	−	59.7570i	−1.78060	−	2.12203i
$794$	0.907543	−	5.14693i	0.0322075	−	0.182658i
$795$	−0.742134	−	3.39153i	−0.0263208	−	0.120285i
$796$	−5.63102	+	4.72499i	−0.199586	+	0.167473i
$797$	15.0976	−	26.1497i	0.534783	−	0.926271i	−0.464391	−	0.885630i	$-0.653727\pi$
$797$	15.0976	−	26.1497i	0.534783	−	0.926271i	0.999174	−	0.0406406i	$-0.0129399\pi$
$798$	−0.230342	+	31.7596i	−0.00815401	+	1.12428i
$799$	−10.2040	−	17.6738i	−0.360991	−	0.625255i
$800$	−18.6972	−	6.80524i	−0.661047	−	0.240602i
$801$	25.6021	+	7.01075i	0.904607	+	0.247713i
$802$	−11.5938	−	9.72832i	−0.409390	−	0.343519i
$803$	1.86978	−	5.13717i	0.0659829	−	0.181287i
$804$	2.62065	+	2.02234i	0.0924233	+	0.0713223i
$805$	4.52106	+	7.83071i	0.159346	+	0.275996i
$806$	34.1928			1.20439
$807$	33.4081	−	43.2920i	1.17602	−	1.52395i
$808$	−11.4920	+	13.6956i	−0.404287	+	0.481811i
$809$	−11.2366	+	6.48747i	−0.395059	+	0.228087i	−0.684350	−	0.729154i	$-0.739914\pi$
$809$	−11.2366	+	6.48747i	−0.395059	+	0.228087i	0.289291	+	0.957241i	$0.406581\pi$
$810$	−1.43089	−	8.66990i	−0.0502763	−	0.304629i
$811$	55.4307	+	9.77392i	1.94643	+	0.343209i	0.999780	+	0.0209574i	$0.00667145\pi$
$811$	55.4307	+	9.77392i	1.94643	+	0.343209i	0.946654	+	0.322251i	$0.104440\pi$
$812$	2.86533	+	1.04289i	0.100553	+	0.0365984i
$813$	−15.7303	−	2.11482i	−0.551685	−	0.0741700i
$814$	4.45828	+	1.62268i	0.156262	+	0.0568749i
$815$	−5.56718	−	6.63470i	−0.195010	−	0.232403i
$816$	18.3455	−	35.0067i	0.642221	−	1.22548i
$817$	−2.53101	+	0.785490i	−0.0885489	+	0.0274808i
$818$			63.7719i			2.22973i
$819$	36.1657	+	36.5645i	1.26373	+	1.27767i
$820$	2.36317	−	0.416690i	0.0825254	−	0.0145515i
$821$	−13.3243	−	2.34944i	−0.465023	−	0.0819961i	−0.0637724	−	0.997964i	$-0.520313\pi$
$821$	−13.3243	−	2.34944i	−0.465023	−	0.0819961i	−0.401250	+	0.915968i	$0.631424\pi$
$822$	33.3775	−	30.4169i	1.16417	−	1.06091i
$823$	3.73140	+	3.13102i	0.130068	+	0.109140i	0.705501	−	0.708709i	$-0.250722\pi$
$823$	3.73140	+	3.13102i	0.130068	+	0.109140i	−0.575433	+	0.817849i	$0.695166\pi$
$824$	0.483294	−	0.279030i	0.0168364	−	0.00972047i
$825$	−1.74656	−	2.75821i	−0.0608074	−	0.0960285i
$826$	−24.4211	−	20.4918i	−0.849719	−	0.712999i
$827$	22.6833	−	8.25604i	0.788775	−	0.287091i	0.0839482	−	0.996470i	$-0.473247\pi$
$827$	22.6833	−	8.25604i	0.788775	−	0.287091i	0.704827	+	0.709380i	$0.251025\pi$
$828$	−12.1109	+	8.38159i	−0.420884	+	0.291280i
$829$	45.1860	+	26.0882i	1.56938	+	0.906080i	0.996242	+	0.0866187i	$0.0276062\pi$
$829$	45.1860	+	26.0882i	1.56938	+	0.906080i	0.573135	+	0.819461i	$0.305727\pi$
$830$	−12.0739	+	4.39453i	−0.419090	+	0.152536i
$831$	−21.6146	+	4.72970i	−0.749800	+	0.164071i
$832$	6.46956	+	17.7750i	0.224292	+	0.616236i
$833$	1.05986	−	2.91195i	0.0367220	−	0.100893i
$834$	−15.9196	+	3.48353i	−0.551251	+	0.120625i
$835$	−2.43015	+	1.40305i	−0.0840990	+	0.0485546i
$836$	1.24991	−	0.643513i	0.0432290	−	0.0222563i
$837$	6.08295	−	14.3506i	0.210257	−	0.496028i
$838$	−6.76718	+	18.5927i	−0.233768	+	0.642273i
$839$	−7.72413	+	6.48132i	−0.266667	+	0.223760i	−0.766309	−	0.642472i	$-0.777909\pi$
$839$	−7.72413	+	6.48132i	−0.266667	+	0.223760i	0.499643	+	0.866232i	$0.333465\pi$
$840$	−0.681674	+	5.07037i	−0.0235200	+	0.174945i
$841$	−4.63429	−	26.2823i	−0.159803	−	0.906287i
$842$	−3.77249	+	4.49588i	−0.130009	+	0.154938i
$843$	−3.52541	+	2.23237i	−0.121422	+	0.0768870i
$844$	−4.89646	−	2.82697i	−0.168543	−	0.0973084i
$845$	6.67904	+	18.3505i	0.229766	+	0.631276i
$846$	−12.8635	+	18.1582i	−0.442256	+	0.624293i
$847$	−13.6281	−	23.6046i	−0.468268	−	0.811065i
$848$	−17.0268			−0.584703
$849$	−47.6217	−	6.40239i	−1.63437	−	0.219729i
$850$	−35.3125	+	6.22655i	−1.21121	+	0.213569i
$851$	40.5768	−	14.7687i	1.39095	−	0.506266i
$852$	8.99693	−	1.96871i	0.308230	−	0.0674469i
$853$	0.697062	+	3.95324i	0.0238670	+	0.135356i	0.994413	−	0.105560i	$-0.0336634\pi$
$853$	0.697062	+	3.95324i	0.0238670	+	0.135356i	−0.970546	+	0.240916i	$0.922552\pi$
$854$	−48.1485			−1.64761
$855$	5.10081	+	5.67948i	0.174444	+	0.194234i
$856$	12.0317			0.411234
$857$	3.27760	+	18.5882i	0.111961	+	0.634960i	0.988210	+	0.153103i	$0.0489265\pi$
$857$	3.27760	+	18.5882i	0.111961	+	0.634960i	−0.876250	+	0.481857i	$0.839962\pi$
$858$	2.42268	−	7.61094i	0.0827089	−	0.259833i
$859$	28.3577	−	10.3214i	0.967552	−	0.352160i	0.190564	−	0.981675i	$-0.438968\pi$
$859$	28.3577	−	10.3214i	0.967552	−	0.352160i	0.776989	+	0.629515i	$0.216746\pi$
$860$	0.278656	−	0.0491346i	0.00950210	−	0.00167548i
$861$	8.53905	+	20.7760i	0.291010	+	0.708045i
$862$	4.36259			0.148590
$863$	−2.77666	−	4.80931i	−0.0945184	−	0.163711i	0.814889	−	0.579617i	$-0.196798\pi$
$863$	−2.77666	−	4.80931i	−0.0945184	−	0.163711i	−0.909408	+	0.415906i	$0.863464\pi$
$864$	−22.1604	−	1.15022i	−0.753911	−	0.0391314i
$865$	−1.56536	−	4.30080i	−0.0532239	−	0.146231i
$866$	−7.05749	−	4.07464i	−0.239823	−	0.138462i
$867$	−0.295534	−	7.22320i	−0.0100368	−	0.245313i
$868$	3.86643	−	4.60783i	0.131235	−	0.156400i
$869$	−0.0969986	−	0.550107i	−0.00329045	−	0.0186611i
$870$	2.37842	−	0.977543i	0.0806360	−	0.0331418i
$871$	−12.5160	+	10.5021i	−0.424087	+	0.355851i
$872$	6.38276	−	17.5365i	0.216148	−	0.593861i
$873$	0.898238	+	10.9586i	0.0304008	+	0.370894i
$874$	17.3670	−	41.3985i	0.587449	−	1.40033i
$875$	12.2828	−	7.09149i	0.415235	−	0.239736i
$876$	−5.66005	+	17.7812i	−0.191235	+	0.600773i
$877$	−12.2217	+	33.5788i	−0.412697	+	1.13388i	0.543053	+	0.839698i	$0.317268\pi$
$877$	−12.2217	+	33.5788i	−0.412697	+	1.13388i	−0.955751	+	0.294178i	$0.904954\pi$
$878$	−9.40529	−	25.8408i	−0.317413	−	0.872086i
$879$	36.4327	+	39.9788i	1.22884	+	1.34845i
$880$	1.10048	−	0.400541i	0.0370971	−	0.0135022i
$881$	12.2972	+	7.09981i	0.414305	+	0.239199i	0.692638	−	0.721286i	$-0.256449\pi$
$881$	12.2972	+	7.09981i	0.414305	+	0.239199i	−0.278333	+	0.960485i	$0.589782\pi$
$882$	−3.36768	+	0.276035i	−0.113396	+	0.00929460i
$883$	3.10982	−	1.13188i	0.104654	−	0.0380909i	−0.289163	−	0.957280i	$-0.593377\pi$
$883$	3.10982	−	1.13188i	0.104654	−	0.0380909i	0.393816	+	0.919189i	$0.371155\pi$
$884$	−19.1534	−	16.0716i	−0.644197	−	0.540546i
$885$	−7.65601	+	0.313241i	−0.257354	+	0.0105295i
$886$	23.7303	−	13.7007i	0.797235	−	0.460284i
$887$	31.7777	+	26.6647i	1.06699	+	0.895313i	0.994777	−	0.102076i	$-0.0325486\pi$
$887$	31.7777	+	26.6647i	1.06699	+	0.895313i	0.0722156	+	0.997389i	$0.476993\pi$
$888$	23.2806	+	7.41057i	0.781245	+	0.248682i
$889$	37.3485	+	6.58555i	1.25263	+	0.220872i
$890$	8.50775	−	1.50015i	0.285180	−	0.0502850i
$891$	−2.76327	−	2.37078i	−0.0925732	−	0.0794242i
$892$		−	11.0168i		−	0.368870i
$893$	0.930365	−	19.3096i	0.0311335	−	0.646172i
$894$	31.4242	+	49.6259i	1.05098	+	1.65974i
$895$	−0.142501	−	0.169826i	−0.00476328	−	0.00567665i
$896$	31.1586	+	11.3408i	1.04094	+	0.378870i
$897$	−27.6351	−	67.2377i	−0.922708	−	2.24500i
$898$	39.8114	+	14.4902i	1.32852	+	0.483543i
$899$	4.49194	+	0.792050i	0.149815	+	0.0264163i
$900$	6.34154	+	9.16318i	0.211385	+	0.305439i
$901$	−13.6829	+	7.89984i	−0.455844	+	0.263182i
$902$	2.24240	−	2.67238i	0.0746636	−	0.0889806i
$903$	1.00689	+	2.44983i	0.0335073	+	0.0815253i
$904$	−40.4071			−1.34392
$905$	3.71404	+	6.43290i	0.123459	+	0.213837i
$906$	0.344370	−	2.56147i	0.0114409	−	0.0850991i
$907$	−6.48900	+	17.8284i	−0.215464	+	0.591982i	−0.999590	−	0.0286192i	$-0.990889\pi$
$907$	−6.48900	+	17.8284i	−0.215464	+	0.591982i	0.784127	+	0.620601i	$0.213111\pi$
$908$	5.93161	+	4.97721i	0.196847	+	0.165175i
$909$	25.7918	−	6.75953i	0.855459	−	0.224199i
$910$	15.7282	+	5.72459i	0.521384	+	0.189768i
$911$	8.73004	+	15.1209i	0.289239	+	0.500977i	0.973628	−	0.228140i	$-0.0732644\pi$
$911$	8.73004	+	15.1209i	0.289239	+	0.500977i	−0.684389	+	0.729117i	$0.739931\pi$
$912$	32.5579	−	18.4838i	1.07810	−	0.612058i
$913$	−2.66190	+	4.61055i	−0.0880961	+	0.152587i
$914$	27.8083	−	23.3339i	0.919817	−	0.771818i
$915$	−8.55372	+	7.79501i	−0.282777	+	0.257695i
$916$	−0.311272	+	1.76531i	−0.0102847	+	0.0583275i
$917$	13.6362	+	16.2510i	0.450309	+	0.536657i
$918$	−35.6218	+	18.1728i	−1.17570	+	0.599790i
$919$	−20.9664	+	36.3149i	−0.691619	+	1.19792i	0.279689	+	0.960091i	$0.409769\pi$
$919$	−20.9664	+	36.3149i	−0.691619	+	1.19792i	−0.971307	+	0.237828i	$0.923565\pi$
$920$	3.61576	−	6.26268i	0.119208	−	0.206475i
$921$	−15.5397	−	11.9918i	−0.512050	−	0.395145i
$922$	38.3297	+	6.75857i	1.26232	+	0.222582i
$923$			45.4571i			1.49624i
$924$	−0.751701	−	1.18710i	−0.0247292	−	0.0390529i
$925$	−11.1741	−	30.7005i	−0.367401	−	1.00943i
$926$	−32.0434	+	26.8876i	−1.05301	+	0.883583i
$927$	−0.828683	−	0.0770811i	−0.0272175	−	0.00253168i
$928$	−1.12762	−	6.39507i	−0.0370160	−	0.209928i
$929$	14.0376	−	2.47520i	0.460558	−	0.0812088i	0.0614450	−	0.998110i	$-0.480429\pi$
$929$	14.0376	−	2.47520i	0.460558	−	0.0812088i	0.399113	+	0.916902i	$0.369318\pi$
$930$	−0.207372	−	5.06842i	−0.00679999	−	0.166200i
$931$	2.33689	−	1.77647i	0.0765884	−	0.0582213i
$932$	−19.9488	−	11.5175i	−0.653446	−	0.377267i
$933$	−40.1416	−	12.7777i	−1.31418	−	0.418323i
$934$	16.9800	+	20.2360i	0.555602	+	0.662141i
$935$	0.698518	−	0.832462i	0.0228440	−	0.0272244i
$936$	10.8631	−	39.6702i	0.355071	−	1.29666i
$937$	−5.18260	+	29.3920i	−0.169308	+	0.960194i	0.775203	+	0.631713i	$0.217648\pi$
$937$	−5.18260	+	29.3920i	−0.169308	+	0.960194i	−0.944511	+	0.328481i	$0.893463\pi$
$938$			10.0846i			0.329273i
$939$	−0.920107	−	22.4885i	−0.0300266	−	0.733886i
$940$	−0.358429	+	2.03275i	−0.0116907	+	0.0663010i
$941$	−7.90429	+	44.8274i	−0.257672	+	1.46133i	0.531446	+	0.847092i	$0.321649\pi$
$941$	−7.90429	+	44.8274i	−0.257672	+	1.46133i	−0.789119	+	0.614241i	$0.789462\pi$
$942$	17.2855	+	9.05858i	0.563192	+	0.295145i
$943$		−	31.7509i		−	1.03395i
$944$	−6.52555	+	37.0083i	−0.212389	+	1.20452i
$945$	5.20065	−	5.58263i	0.169177	−	0.181603i
$946$	0.264415	−	0.315118i	0.00859688	−	0.0102454i
$947$	36.8477	+	43.9134i	1.19739	+	1.42699i	0.877526	+	0.479529i	$0.159193\pi$
$947$	36.8477	+	43.9134i	1.19739	+	1.42699i	0.319863	+	0.947464i	$0.396363\pi$
$948$	0.407576	+	1.86261i	0.0132374	+	0.0604947i
$949$	−79.7629	−	46.0511i	−2.58921	−	1.49488i
$950$	−31.3223	−	13.1399i	−1.01623	−	0.426316i
$951$	5.38099	+	2.81994i	0.174491	+	0.0914429i
$952$	22.9286	−	4.04294i	0.743121	−	0.131032i
$953$	3.12608	+	17.7289i	0.101264	+	0.574294i	0.992647	+	0.121044i	$0.0386243\pi$
$953$	3.12608	+	17.7289i	0.101264	+	0.574294i	−0.891384	+	0.453250i	$0.850265\pi$
$954$	14.0580	+	9.95881i	0.455143	+	0.322428i
$955$	−8.76689	+	7.35629i	−0.283690	+	0.238044i
$956$	2.75546	+	7.57057i	0.0891180	+	0.244850i
$957$	0.494571	−	0.943736i	0.0159872	−	0.0305067i
$958$		−	42.9743i		−	1.38844i
$959$	38.6139	+	6.80868i	1.24691	+	0.219864i
$960$	2.59556	−	1.06679i	0.0837713	−	0.0344305i
$961$	−11.0011	+	19.0545i	−0.354874	+	0.614660i
$962$	39.9654	−	69.2221i	1.28854	−	2.23181i
$963$	−14.6417	−	10.3723i	−0.471822	−	0.334243i
$964$	3.41168	+	4.06588i	0.109883	+	0.130953i
$965$	−0.00884499	+	0.0501625i	−0.000284730	+	0.00161479i
$966$	−42.7559	−	13.6099i	−1.37565	−	0.437890i
$967$	−5.58447	+	4.68592i	−0.179584	+	0.150689i	−0.728149	−	0.685419i	$-0.759619\pi$
$967$	−5.58447	+	4.68592i	−0.179584	+	0.150689i	0.548564	+	0.836108i	$0.315175\pi$
$968$	−10.8992	+	18.8780i	−0.350315	+	0.606763i
$969$	17.5880	−	29.9594i	0.565009	−	0.962436i
$970$	1.78923	+	3.09904i	0.0574488	+	0.0995042i
$971$	−5.85755	−	2.13197i	−0.187978	−	0.0684183i	0.246316	−	0.969190i	$-0.420780\pi$
$971$	−5.85755	−	2.13197i	−0.187978	−	0.0684183i	−0.434294	+	0.900771i	$0.643002\pi$
$972$	9.75498	+	7.69999i	0.312891	+	0.246977i
$973$	−10.8393	−	9.09524i	−0.347491	−	0.291580i
$974$	−11.4132	+	31.3575i	−0.365703	+	1.00476i
$975$	−50.8723	+	20.9088i	−1.62922	+	0.669617i
$976$	28.3784	+	49.1528i	0.908370	+	1.57334i
$977$	15.7262			0.503125			0.251563	−	0.967841i	$-0.419056\pi$
$977$	15.7262			0.503125			0.251563	+	0.967841i	$0.419056\pi$
$978$	42.5952	+	5.72662i	1.36205	+	0.183117i
$979$	2.30087	−	2.74207i	0.0735362	−	0.0876370i
$980$	−0.271432	+	0.156711i	−0.00867057	+	0.00500596i
$981$	−22.8853	+	15.8382i	−0.730673	+	0.505675i
$982$	−69.2627	−	12.2129i	−2.21026	−	0.389729i
$983$	7.59587	+	2.76467i	0.242271	+	0.0881793i	0.460302	−	0.887763i	$-0.347741\pi$
$983$	7.59587	+	2.76467i	0.242271	+	0.0881793i	−0.218031	+	0.975942i	$0.569963\pi$
$984$	10.9751	−	14.2222i	0.349874	−	0.453386i
$985$	8.00368	+	2.91310i	0.255018	+	0.0928191i
$986$	−7.52222	−	8.96464i	−0.239556	−	0.285492i
$987$	−19.3055	+	0.789875i	−0.614502	+	0.0251420i
$988$	−7.02017	−	22.6204i	−0.223341	−	0.719652i
$989$		−	3.74395i		−	0.119051i
$990$	−1.14287	−	0.312957i	−0.0363227	−	0.00994642i
$991$	−46.4300	+	8.18687i	−1.47490	+	0.260064i	−0.852538	−	0.522666i	$-0.824938\pi$
$991$	−46.4300	+	8.18687i	−1.47490	+	0.260064i	−0.622361	+	0.782730i	$0.713827\pi$
$992$	−12.6153	−	2.22442i	−0.400537	−	0.0706256i
$993$	5.37470	+	24.5622i	0.170561	+	0.779458i
$994$	21.4933	+	18.0350i	0.681726	+	0.572036i
$995$	−4.66139	+	2.69126i	−0.147776	+	0.0853185i
$996$	8.43509	−	16.0958i	0.267276	−	0.510014i
$997$	−3.37884	−	2.83519i	−0.107009	−	0.0897913i	0.587713	−	0.809069i	$-0.300028\pi$
$997$	−3.37884	−	2.83519i	−0.107009	−	0.0897913i	−0.694722	+	0.719278i	$0.744473\pi$
$998$	8.89254	−	3.23662i	0.281488	−	0.102453i
$999$	−21.9423	−	29.0880i	−0.694222	−	0.920303i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	171.2.bd.a.167.5	yes	108
3.2	odd	2		513.2.cd.a.395.14		108
9.2	odd	6		171.2.x.a.110.14	yes	108
9.7	even	3		513.2.bo.a.224.5		108
19.14	odd	18		171.2.x.a.14.14	✓	108
57.14	even	18		513.2.bo.a.71.5		108
171.52	odd	18		513.2.cd.a.413.14		108
171.128	even	18	inner	171.2.bd.a.128.5	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
171.2.x.a.14.14	✓	108	19.14	odd	18
171.2.x.a.110.14	yes	108	9.2	odd	6
171.2.bd.a.128.5	yes	108	171.128	even	18	inner
171.2.bd.a.167.5	yes	108	1.1	even	1	trivial
513.2.bo.a.71.5		108	57.14	even	18
513.2.bo.a.224.5		108	9.7	even	3
513.2.cd.a.395.14		108	3.2	odd	2
513.2.cd.a.413.14		108	171.52	odd	18

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 171 = 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	171.bd (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.290426 - 1.64709i) q^{2} +(1.16665 + 1.28021i) q^{3} +(-0.749162 + 0.272673i) q^{4} +(-0.574902 + 0.101371i) q^{5} +(1.76978 - 2.29338i) q^{6} +2.51527 q^{7} +(-1.00580 - 1.74210i) q^{8} +(-0.277850 + 2.98711i) q^{9} +(0.333933 + 0.917472i) q^{10} +(0.350348 + 0.202273i) q^{11} +(-1.22309 - 0.640967i) q^{12} +(4.38096 - 5.22102i) q^{13} +(-0.730498 - 4.14286i) q^{14} +(-0.800485 - 0.617728i) q^{15} +(-3.79873 + 3.18751i) q^{16} +(-1.57381 + 4.32400i) q^{17} +(5.00072 - 0.409890i) q^{18} +(-3.47008 + 2.63790i) q^{19} +(0.403054 - 0.232703i) q^{20} +(2.93444 + 3.22006i) q^{21} +(0.231412 - 0.635799i) q^{22} +(-2.10618 - 5.78669i) q^{23} +(1.05683 - 3.32006i) q^{24} +(-4.37823 + 1.59354i) q^{25} +(-9.87182 - 5.69950i) q^{26} +(-4.14826 + 3.12921i) q^{27} +(-1.88434 + 0.685845i) q^{28} +(-1.16485 - 0.977421i) q^{29} +(-0.784970 + 1.49787i) q^{30} +(-2.59776 + 1.49982i) q^{31} +(3.27140 + 2.74503i) q^{32} +(0.149782 + 0.684499i) q^{33} +(7.57907 + 1.33639i) q^{34} +(-1.44603 + 0.254974i) q^{35} +(-0.606348 - 2.31359i) q^{36} +7.01209i q^{37} +(5.35266 + 4.94941i) q^{38} +(11.7950 - 0.482587i) q^{39} +(0.754836 + 0.899579i) q^{40} +(4.84503 + 1.76345i) q^{41} +(4.45147 - 5.76846i) q^{42} +(0.571309 + 0.207939i) q^{43} +(-0.317622 - 0.0560053i) q^{44} +(-0.143068 - 1.74546i) q^{45} +(-8.91949 + 5.14967i) q^{46} +(-2.85081 + 3.39746i) q^{47} +(-8.51246 - 1.14444i) q^{48} -0.673439 q^{49} +(3.89626 + 6.74851i) q^{50} +(-7.37168 + 3.02980i) q^{51} +(-1.85842 + 5.10596i) q^{52} +(2.63029 + 2.20707i) q^{53} +(6.35883 + 5.92374i) q^{54} +(-0.221920 - 0.0807723i) q^{55} +(-2.52986 - 4.38185i) q^{56} +(-7.42543 - 1.36490i) q^{57} +(-1.27160 + 2.20247i) q^{58} +(5.80519 - 4.87114i) q^{59} +(0.768131 + 0.244508i) q^{60} +(1.98748 - 11.2716i) q^{61} +(3.22478 + 3.84315i) q^{62} +(-0.698867 + 7.51336i) q^{63} +(-1.38769 + 2.40355i) q^{64} +(-1.98936 + 3.44567i) q^{65} +(1.08393 - 0.445501i) q^{66} +(-2.36080 - 0.416273i) q^{67} -3.66851i q^{68} +(4.95097 - 9.44740i) q^{69} +(0.839929 + 2.30769i) q^{70} +(-5.10921 + 4.28714i) q^{71} +(5.48331 - 2.52040i) q^{72} +(-2.34660 - 13.3082i) q^{73} +(11.5495 - 2.03649i) q^{74} +(-7.14793 - 3.74592i) q^{75} +(1.88037 - 2.92241i) q^{76} +(0.881218 + 0.508771i) q^{77} +(-4.22044 - 19.2873i) q^{78} +(-0.887553 - 1.05774i) q^{79} +(1.86078 - 2.21759i) q^{80} +(-8.84560 - 1.65993i) q^{81} +(1.49743 - 8.49234i) q^{82} +13.1599i q^{83} +(-3.07639 - 1.61220i) q^{84} +(0.466457 - 2.64541i) q^{85} +(0.176571 - 1.00139i) q^{86} +(-0.107668 - 2.63155i) q^{87} -0.813789i q^{88} +(1.53648 - 8.71380i) q^{89} +(-2.83337 + 0.742572i) q^{90} +(11.0193 - 13.1323i) q^{91} +(3.15575 + 3.76087i) q^{92} +(-4.95075 - 1.57590i) q^{93} +(6.42386 + 3.70882i) q^{94} +(1.72755 - 1.86830i) q^{95} +(0.302380 + 7.39055i) q^{96} +(3.60945 - 0.636444i) q^{97} +(0.195584 + 1.10921i) q^{98} +(-0.701556 + 0.990324i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 9 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} - 9 q^{6} - 6 q^{7} + 3 q^{9} - 12 q^{10} - 9 q^{11} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 9 q^{15} + 9 q^{16} - 27 q^{17} - 36 q^{18} - 15 q^{19} - 18 q^{20}+ \cdots + 3 q^{99}+O(q^{100}) \) 108 * q - 9 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 - 9 * q^6 - 6 * q^7 + 3 * q^9 - 12 * q^10 - 9 * q^11 - 9 * q^12 - 6 * q^13 - 9 * q^14 - 9 * q^15 + 9 * q^16 - 27 * q^17 - 36 * q^18 - 15 * q^19 - 18 * q^20 - 24 * q^21 - 6 * q^22 - 9 * q^23 + 51 * q^24 - 3 * q^25 + 72 * q^26 - 36 * q^28 + 18 * q^29 + 42 * q^30 - 9 * q^31 + 27 * q^32 - 33 * q^33 - 21 * q^34 - 45 * q^35 + 81 * q^36 - 18 * q^38 - 18 * q^39 - 30 * q^40 - 72 * q^41 - 138 * q^42 - 27 * q^43 + 63 * q^44 + 6 * q^45 - 18 * q^46 - 9 * q^47 - 33 * q^48 + 30 * q^49 + 63 * q^50 + 39 * q^51 + 15 * q^52 + 66 * q^54 + 3 * q^55 - 63 * q^56 + 66 * q^57 - 6 * q^58 + 99 * q^59 + 15 * q^60 + 39 * q^61 - 18 * q^62 + 36 * q^63 - 9 * q^65 - 120 * q^66 + 27 * q^67 + 18 * q^69 - 24 * q^70 + 15 * q^72 - 45 * q^73 + 72 * q^74 - 3 * q^76 - 18 * q^77 - 9 * q^78 - 6 * q^79 - 126 * q^80 - 33 * q^81 - 3 * q^82 - 9 * q^84 - 3 * q^85 - 9 * q^86 + 33 * q^87 - 54 * q^89 - 93 * q^90 - 9 * q^91 + 99 * q^92 - 39 * q^93 - 9 * q^95 + 207 * q^96 + 24 * q^97 + 27 * q^98 + 3 * q^99

Introduction

L-functions

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