LMFDB - Embedded newform 529.2.c.e.177.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [529,2,Mod(118,529)] 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("529.118"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(529, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([16])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not minimal)

Newform invariants

comment:select newform

sage:traces = [10,4,-7,8,3,-5,-6] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

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

Self dual:	no
Analytic conductor:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			177.1
Root			$-0.841254 - 0.540641i$ of defining polynomial
Character	$\chi$	$=$	529.177
Dual form			529.2.c.e.266.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.44306 + 1.66538i) q^{2} +(-2.11435 + 1.35881i) q^{3} +(-0.406440 - 2.82685i) q^{4} +(0.513652 + 1.12474i) q^{5} +(0.788201 - 5.48206i) q^{6} +(-2.27667 + 0.668491i) q^{7} +(1.58671 + 1.01971i) q^{8} +(1.37787 - 3.01713i) q^{9} +(-2.61435 - 0.767644i) q^{10} +(-1.25199 - 1.44488i) q^{11} +(4.70052 + 5.42469i) q^{12} +(-0.188515 - 0.0553531i) q^{13} +(2.17208 - 4.75620i) q^{14} +(-2.61435 - 1.68014i) q^{15} +(1.49254 - 0.438250i) q^{16} +(-0.221998 + 1.54403i) q^{17} +(3.03631 + 6.64858i) q^{18} +(-1.13631 - 7.90319i) q^{19} +(2.97071 - 1.90916i) q^{20} +(3.90533 - 4.50700i) q^{21} +4.21297 q^{22} -4.74046 q^{24} +(2.27310 - 2.62330i) q^{25} +(0.364223 - 0.234072i) q^{26} +(0.113337 + 0.788278i) q^{27} +(2.81506 + 6.16411i) q^{28} +(-0.708346 + 4.92665i) q^{29} +(6.57075 - 1.92935i) q^{30} +(1.49969 + 0.963789i) q^{31} +(-2.99103 + 6.54943i) q^{32} +(4.61047 + 1.35376i) q^{33} +(-2.25104 - 2.59784i) q^{34} +(-1.92130 - 2.21729i) q^{35} +(-9.08899 - 2.66877i) q^{36} +(-1.61315 + 3.53231i) q^{37} +(14.8016 + 9.51240i) q^{38} +(0.473802 - 0.139121i) q^{39} +(-0.331900 + 2.30841i) q^{40} +(0.177173 + 0.387954i) q^{41} +(1.87023 + 13.0077i) q^{42} +(-3.74625 + 2.40757i) q^{43} +(-3.57559 + 4.12645i) q^{44} +4.10123 q^{45} -2.58842 q^{47} +(-2.56026 + 2.95470i) q^{48} +(-1.15242 + 0.740618i) q^{49} +(1.08857 + 7.57116i) q^{50} +(-1.62866 - 3.56627i) q^{51} +(-0.0798548 + 0.555402i) q^{52} +(9.42164 - 2.76644i) q^{53} +(-1.47634 - 0.948784i) q^{54} +(0.982022 - 2.15033i) q^{55} +(-4.29408 - 1.26086i) q^{56} +(13.1415 + 15.1661i) q^{57} +(-7.18257 - 8.28913i) q^{58} +(6.92649 + 2.03380i) q^{59} +(-3.68694 + 8.07327i) q^{60} +(-6.25023 - 4.01678i) q^{61} +(-3.76921 + 1.10674i) q^{62} +(-1.12005 + 7.79010i) q^{63} +(-5.29867 - 11.6025i) q^{64} +(-0.0345733 - 0.240463i) q^{65} +(-8.90771 + 5.72464i) q^{66} +(4.75855 - 5.49165i) q^{67} +4.45497 q^{68} +6.46519 q^{70} +(0.478234 - 0.551912i) q^{71} +(5.26289 - 3.38226i) q^{72} +(0.917125 + 6.37875i) q^{73} +(-3.55476 - 7.78385i) q^{74} +(-1.24157 + 8.63530i) q^{75} +(-21.8793 + 6.42434i) q^{76} +(3.81626 + 2.45256i) q^{77} +(-0.452036 + 0.989821i) q^{78} +(-5.44808 - 1.59970i) q^{79} +(1.25957 + 1.45362i) q^{80} +(5.20549 + 6.00746i) q^{81} +(-0.901763 - 0.264782i) q^{82} +(5.35459 - 11.7249i) q^{83} +(-14.3279 - 9.20798i) q^{84} +(-1.85066 + 0.543403i) q^{85} +(1.39655 - 9.71319i) q^{86} +(-5.19671 - 11.3792i) q^{87} +(-0.513183 - 3.56927i) q^{88} +(11.6936 - 7.51503i) q^{89} +(-5.91833 + 6.83012i) q^{90} +0.466190 q^{91} -4.48047 q^{93} +(3.73525 - 4.31070i) q^{94} +(8.30537 - 5.33754i) q^{95} +(-2.57536 - 17.9121i) q^{96} +(-1.79616 - 3.93304i) q^{97} +(0.429607 - 2.98798i) q^{98} +(-6.08446 + 1.78656i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9} - 12 q^{10} - 7 q^{11} - 10 q^{12} + 8 q^{13} + 2 q^{14} - 12 q^{15} + 12 q^{16} - q^{17} - 3 q^{18} - 2 q^{19} - 2 q^{20}+ \cdots - 25 q^{99}+O(q^{100}) $ 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9 - 12 * q^10 - 7 * q^11 - 10 * q^12 + 8 * q^13 + 2 * q^14 - 12 * q^15 + 12 * q^16 - q^17 - 3 * q^18 - 2 * q^19 - 2 * q^20 + 24 * q^21 + 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 + 26 * q^28 - 8 * q^29 + 4 * q^30 - 12 * q^31 - 23 * q^32 + 17 * q^33 + 26 * q^34 + 18 * q^35 - 6 * q^36 - 25 * q^37 + 52 * q^38 + 12 * q^39 - 12 * q^40 - 26 * q^41 + 14 * q^42 - 22 * q^43 - 32 * q^44 + 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 - 18 * q^51 + 13 * q^52 + 48 * q^53 - 17 * q^54 + 32 * q^55 + 2 * q^56 + 8 * q^57 - q^58 + q^59 + 8 * q^60 - 36 * q^61 - 18 * q^62 + 21 * q^63 + 13 * q^64 - 13 * q^65 - 2 * q^66 + 10 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 - 32 * q^74 - 6 * q^75 - 50 * q^76 + 13 * q^77 + 7 * q^78 - 18 * q^79 - 14 * q^80 + 11 * q^81 - 6 * q^82 + 15 * q^83 - 16 * q^84 - 19 * q^85 - 22 * q^86 + 10 * q^87 - 16 * q^88 + 19 * q^89 - 24 * q^90 + 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 - 21 * q^97 + 39 * q^98 - 25 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{4}{11}\right)$

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 $

$2$	−1.44306	+	1.66538i	−1.02040	+	1.17760i	−0.0364161	+	0.999337i	$0.511594\pi$
$2$	−1.44306	+	1.66538i	−1.02040	+	1.17760i	−0.983982	+	0.178266i	$0.942951\pi$
$3$	−2.11435	+	1.35881i	−1.22072	+	0.784511i	−0.982421	−	0.186680i	$-0.940227\pi$
$3$	−2.11435	+	1.35881i	−1.22072	+	0.784511i	−0.238302	+	0.971191i	$0.576591\pi$
$4$	−0.406440	−	2.82685i	−0.203220	−	1.41343i
$5$	0.513652	+	1.12474i	0.229712	+	0.502999i	0.989029	−	0.147722i	$-0.0471940\pi$
$5$	0.513652	+	1.12474i	0.229712	+	0.502999i	−0.759317	+	0.650721i	$0.774467\pi$
$6$	0.788201	−	5.48206i	0.321782	−	2.23804i
$7$	−2.27667	+	0.668491i	−0.860501	+	0.252666i	−0.682070	−	0.731287i	$-0.738920\pi$
$7$	−2.27667	+	0.668491i	−0.860501	+	0.252666i	−0.178431	+	0.983953i	$0.557102\pi$
$8$	1.58671	+	1.01971i	0.560986	+	0.360524i
$9$	1.37787	−	3.01713i	0.459292	−	1.00571i
$10$	−2.61435	−	0.767644i	−0.826731	−	0.242750i
$11$	−1.25199	−	1.44488i	−0.377490	−	0.435646i	0.534934	−	0.844894i	$-0.320337\pi$
$11$	−1.25199	−	1.44488i	−0.377490	−	0.435646i	−0.912423	+	0.409248i	$0.865791\pi$
$12$	4.70052	+	5.42469i	1.35692	+	1.56597i
$13$	−0.188515	−	0.0553531i	−0.0522847	−	0.0153522i	0.255486	−	0.966813i	$-0.417765\pi$
$13$	−0.188515	−	0.0553531i	−0.0522847	−	0.0153522i	−0.307770	+	0.951461i	$0.599583\pi$
$14$	2.17208	−	4.75620i	0.580514	−	1.27115i
$15$	−2.61435	−	1.68014i	−0.675023	−	0.433811i
$16$	1.49254	−	0.438250i	0.373136	−	0.109563i
$17$	−0.221998	+	1.54403i	−0.0538424	+	0.374482i	0.945029	+	0.326986i	$0.106033\pi$
$17$	−0.221998	+	1.54403i	−0.0538424	+	0.374482i	−0.998871	+	0.0474955i	$0.984876\pi$
$18$	3.03631	+	6.64858i	0.715664	+	1.56709i
$19$	−1.13631	−	7.90319i	−0.260687	−	1.81312i	−0.527709	−	0.849425i	$-0.676949\pi$
$19$	−1.13631	−	7.90319i	−0.260687	−	1.81312i	0.267023	−	0.963690i	$-0.413960\pi$
$20$	2.97071	−	1.90916i	0.664270	−	0.426901i
$21$	3.90533	−	4.50700i	0.852214	−	0.983507i
$22$	4.21297			0.898208
$23$		0			0
$23$		0			0
$24$	−4.74046			−0.967643
$25$	2.27310	−	2.62330i	0.454620	−	0.524659i
$26$	0.364223	−	0.234072i	0.0714300	−	0.0459053i
$27$	0.113337	+	0.788278i	0.0218118	+	0.151704i
$28$	2.81506	+	6.16411i	0.531996	+	1.16491i
$29$	−0.708346	+	4.92665i	−0.131537	+	0.914857i	0.812016	+	0.583635i	$0.198370\pi$
$29$	−0.708346	+	4.92665i	−0.131537	+	0.914857i	−0.943553	+	0.331222i	$0.892539\pi$
$30$	6.57075	−	1.92935i	1.19965	−	0.352249i
$31$	1.49969	+	0.963789i	0.269351	+	0.173102i	0.668344	−	0.743853i	$-0.267004\pi$
$31$	1.49969	+	0.963789i	0.269351	+	0.173102i	−0.398992	+	0.916954i	$0.630640\pi$
$32$	−2.99103	+	6.54943i	−0.528744	+	1.15779i
$33$	4.61047	+	1.35376i	0.802579	+	0.235659i
$34$	−2.25104	−	2.59784i	−0.386050	−	0.445526i
$35$	−1.92130	−	2.21729i	−0.324758	−	0.374791i
$36$	−9.08899	−	2.66877i	−1.51483	−	0.444795i
$37$	−1.61315	+	3.53231i	−0.265200	+	0.580708i	−0.994647	−	0.103330i	$-0.967050\pi$
$37$	−1.61315	+	3.53231i	−0.265200	+	0.580708i	0.729447	+	0.684037i	$0.239778\pi$
$38$	14.8016	+	9.51240i	2.40113	+	1.54311i
$39$	0.473802	−	0.139121i	0.0758691	−	0.0222772i
$40$	−0.331900	+	2.30841i	−0.0524779	+	0.364992i
$41$	0.177173	+	0.387954i	0.0276697	+	0.0605883i	0.922962	−	0.384890i	$-0.125761\pi$
$41$	0.177173	+	0.387954i	0.0276697	+	0.0605883i	−0.895293	+	0.445479i	$0.853033\pi$
$42$	1.87023	+	13.0077i	0.288583	+	2.00714i
$43$	−3.74625	+	2.40757i	−0.571297	+	0.367150i	−0.794169	−	0.607698i	$-0.792093\pi$
$43$	−3.74625	+	2.40757i	−0.571297	+	0.367150i	0.222872	+	0.974848i	$0.428457\pi$
$44$	−3.57559	+	4.12645i	−0.539041	+	0.622086i
$45$	4.10123			0.611375
$46$		0			0
$47$	−2.58842			−0.377559			−0.188780	−	0.982019i	$-0.560453\pi$
$47$	−2.58842			−0.377559			−0.188780	+	0.982019i	$0.560453\pi$
$48$	−2.56026	+	2.95470i	−0.369542	+	0.426475i
$49$	−1.15242	+	0.740618i	−0.164632	+	0.105803i
$50$	1.08857	+	7.57116i	0.153947	+	1.07072i
$51$	−1.62866	−	3.56627i	−0.228058	−	0.499378i
$52$	−0.0798548	+	0.555402i	−0.0110739	+	0.0770204i
$53$	9.42164	−	2.76644i	1.29416	−	0.380000i	0.439059	−	0.898458i	$-0.355312\pi$
$53$	9.42164	−	2.76644i	1.29416	−	0.380000i	0.855103	+	0.518458i	$0.173494\pi$
$54$	−1.47634	−	0.948784i	−0.200904	−	0.129113i
$55$	0.982022	−	2.15033i	0.132416	−	0.289950i
$56$	−4.29408	−	1.26086i	−0.573821	−	0.168489i
$57$	13.1415	+	15.1661i	1.74063	+	2.00880i
$58$	−7.18257	−	8.28913i	−0.943118	−	1.08842i
$59$	6.92649	+	2.03380i	0.901752	+	0.264778i	0.699565	−	0.714569i	$-0.253377\pi$
$59$	6.92649	+	2.03380i	0.901752	+	0.264778i	0.202187	+	0.979347i	$0.435195\pi$
$60$	−3.68694	+	8.07327i	−0.475982	+	1.04225i
$61$	−6.25023	−	4.01678i	−0.800260	−	0.514296i	0.0754408	−	0.997150i	$-0.475964\pi$
$61$	−6.25023	−	4.01678i	−0.800260	−	0.514296i	−0.875701	+	0.482855i	$0.839600\pi$
$62$	−3.76921	+	1.10674i	−0.478691	+	0.140556i
$63$	−1.12005	+	7.79010i	−0.141113	+	0.981460i
$64$	−5.29867	−	11.6025i	−0.662334	−	1.45031i
$65$	−0.0345733	−	0.240463i	−0.00428830	−	0.0298258i
$66$	−8.90771	+	5.72464i	−1.09646	+	0.704654i
$67$	4.75855	−	5.49165i	0.581349	−	0.670912i	−0.386545	−	0.922270i	$-0.626332\pi$
$67$	4.75855	−	5.49165i	0.581349	−	0.670912i	0.967894	+	0.251358i	$0.0808772\pi$
$68$	4.45497			0.540244
$69$		0			0
$70$	6.46519			0.772738
$71$	0.478234	−	0.551912i	0.0567559	−	0.0654999i	−0.726662	−	0.686996i	$-0.758929\pi$
$71$	0.478234	−	0.551912i	0.0567559	−	0.0654999i	0.783418	+	0.621496i	$0.213475\pi$
$72$	5.26289	−	3.38226i	0.620238	−	0.398603i
$73$	0.917125	+	6.37875i	0.107341	+	0.746576i	0.970405	+	0.241481i	$0.0776332\pi$
$73$	0.917125	+	6.37875i	0.107341	+	0.746576i	−0.863064	+	0.505094i	$0.831458\pi$
$74$	−3.55476	−	7.78385i	−0.413233	−	0.904854i
$75$	−1.24157	+	8.63530i	−0.143364	+	0.997118i
$76$	−21.8793	+	6.42434i	−2.50973	+	0.736923i
$77$	3.81626	+	2.45256i	0.434903	+	0.279495i
$78$	−0.452036	+	0.989821i	−0.0511830	+	0.112075i
$79$	−5.44808	−	1.59970i	−0.612957	−	0.179980i	−0.0395047	−	0.999219i	$-0.512578\pi$
$79$	−5.44808	−	1.59970i	−0.612957	−	0.179980i	−0.573452	+	0.819239i	$0.694396\pi$
$80$	1.25957	+	1.45362i	0.140824	+	0.162519i
$81$	5.20549	+	6.00746i	0.578388	+	0.667495i
$82$	−0.901763	−	0.264782i	−0.0995831	−	0.0292402i
$83$	5.35459	−	11.7249i	0.587743	−	1.28698i	−0.349054	−	0.937103i	$-0.613497\pi$
$83$	5.35459	−	11.7249i	0.587743	−	1.28698i	0.936797	−	0.349874i	$-0.113776\pi$
$84$	−14.3279	−	9.20798i	−1.56330	−	1.00467i
$85$	−1.85066	+	0.543403i	−0.200732	+	0.0589403i
$86$	1.39655	−	9.71319i	0.150593	−	1.04740i
$87$	−5.19671	−	11.3792i	−0.557145	−	1.21998i
$88$	−0.513183	−	3.56927i	−0.0547055	−	0.380485i
$89$	11.6936	−	7.51503i	1.23952	−	0.796592i	0.254175	−	0.967158i	$-0.418196\pi$
$89$	11.6936	−	7.51503i	1.23952	−	0.796592i	0.985346	+	0.170567i	$0.0545598\pi$
$90$	−5.91833	+	6.83012i	−0.623847	+	0.719957i
$91$	0.466190			0.0488700
$92$		0			0
$93$	−4.48047			−0.464603
$94$	3.73525	−	4.31070i	0.385261	−	0.444615i
$95$	8.30537	−	5.33754i	0.852113	−	0.547620i
$96$	−2.57536	−	17.9121i	−0.262847	−	1.82814i
$97$	−1.79616	−	3.93304i	−0.182372	−	0.399340i	0.796261	−	0.604953i	$-0.206808\pi$
$97$	−1.79616	−	3.93304i	−0.182372	−	0.399340i	−0.978633	+	0.205614i	$0.934081\pi$
$98$	0.429607	−	2.98798i	0.0433969	−	0.301832i
$99$	−6.08446	+	1.78656i	−0.611511	+	0.179556i
$100$	−8.33955	−	5.35951i	−0.833955	−	0.535951i
$101$	−0.756171	+	1.65578i	−0.0752418	+	0.164757i	−0.943515	−	0.331330i	$-0.892503\pi$
$101$	−0.756171	+	1.65578i	−0.0752418	+	0.164757i	0.868273	+	0.496086i	$0.165230\pi$
$102$	8.28947	+	2.43401i	0.820780	+	0.241003i
$103$	−10.0280	−	11.5730i	−0.988091	−	1.14032i	−0.990106	−	0.140320i	$-0.955187\pi$
$103$	−10.0280	−	11.5730i	−0.988091	−	1.14032i	0.00201469	−	0.999998i	$-0.499359\pi$
$104$	−0.242674	−	0.280061i	−0.0237962	−	0.0274622i
$105$	7.07518	+	2.07746i	0.690467	+	0.202739i
$106$	−8.98882	+	19.6828i	−0.873071	+	1.91176i
$107$	−1.67269	−	1.07497i	−0.161705	−	0.103921i	0.457286	−	0.889320i	$-0.348822\pi$
$107$	−1.67269	−	1.07497i	−0.161705	−	0.103921i	−0.618990	+	0.785398i	$0.712458\pi$
$108$	2.18228	−	0.640776i	0.209990	−	0.0616587i
$109$	2.21937	−	15.4360i	0.212577	−	1.47851i	−0.551930	−	0.833890i	$-0.686109\pi$
$109$	2.21937	−	15.4360i	0.212577	−	1.47851i	0.764507	−	0.644615i	$-0.222982\pi$
$110$	2.16400	+	4.73850i	0.206329	+	0.451798i
$111$	−1.38897	−	9.66051i	−0.131835	−	0.916935i
$112$	−3.10506	+	1.99550i	−0.293401	+	0.188557i
$113$	−0.974593	+	1.12474i	−0.0916820	+	0.105807i	−0.799737	−	0.600351i	$-0.795028\pi$
$113$	−0.974593	+	1.12474i	−0.0916820	+	0.105807i	0.708055	+	0.706158i	$0.249573\pi$
$114$	−44.2213			−4.14171
$115$		0			0
$116$	14.2148			1.31981
$117$	−0.426757	+	0.492504i	−0.0394537	+	0.0455320i
$118$	−13.3824	+	8.60035i	−1.23195	+	0.791726i
$119$	−0.526753	−	3.66365i	−0.0482874	−	0.335846i
$120$	−2.43495	−	5.33179i	−0.222279	−	0.486724i
$121$	1.04528	−	7.27009i	0.0950256	−	0.660917i
$122$	15.7089	−	4.61256i	1.42222	−	0.417601i
$123$	−0.901763	−	0.579528i	−0.0813092	−	0.0522543i
$124$	2.11496	−	4.63111i	0.189929	−	0.415886i
$125$	10.0501	+	2.95097i	0.898906	+	0.263943i
$126$	−11.3572	−	13.1069i	−1.01178	−	1.16766i
$127$	−3.92548	−	4.53024i	−0.348330	−	0.401994i	0.554366	−	0.832273i	$-0.312961\pi$
$127$	−3.92548	−	4.53024i	−0.348330	−	0.401994i	−0.902696	+	0.430279i	$0.858415\pi$
$128$	13.1520	+	3.86177i	1.16248	+	0.341335i
$129$	4.64946	−	10.1809i	0.409362	−	0.896377i
$130$	0.450354	+	0.289425i	0.0394987	+	0.0253842i
$131$	12.2516	−	3.59739i	1.07043	−	0.314306i	0.301384	−	0.953503i	$-0.402551\pi$
$131$	12.2516	−	3.59739i	1.07043	−	0.314306i	0.769043	+	0.639197i	$0.220733\pi$
$132$	1.95299	−	13.5833i	0.169986	−	1.18228i
$133$	7.87021	+	17.2333i	0.682433	+	1.49432i
$134$	2.27883	+	15.8496i	0.196861	+	1.36920i
$135$	−0.828393	+	0.532376i	−0.0712967	+	0.0458196i
$136$	−1.92671	+	2.22355i	−0.165214	+	0.190668i
$137$	−0.697560			−0.0595966			−0.0297983	−	0.999556i	$-0.509486\pi$
$137$	−0.697560			−0.0595966			−0.0297983	+	0.999556i	$0.509486\pi$
$138$		0			0
$139$	13.9559			1.18372			0.591862	−	0.806039i	$-0.298393\pi$
$139$	13.9559			1.18372			0.591862	+	0.806039i	$0.298393\pi$
$140$	−5.48707	+	6.33242i	−0.463742	+	0.535187i
$141$	5.47283	−	3.51717i	0.460895	−	0.296200i
$142$	0.229022	+	1.59288i	0.0192191	+	0.133672i
$143$	0.156041	+	0.341683i	0.0130488	+	0.0285729i
$144$	0.734282	−	5.10704i	0.0611902	−	0.425587i
$145$	−5.90505	+	1.73388i	−0.490388	+	0.143991i
$146$	−11.9465	−	7.67756i	−0.988700	−	0.635399i
$147$	1.43027	−	3.13186i	0.117967	−	0.258311i
$148$	10.6410	+	3.12447i	0.874681	+	0.256830i
$149$	−10.8962	−	12.5749i	−0.892655	−	1.03018i	−0.999356	−	0.0358880i	$-0.988574\pi$
$149$	−10.8962	−	12.5749i	−0.892655	−	1.03018i	0.106700	−	0.994291i	$-0.465971\pi$
$150$	−12.5894	−	14.5289i	−1.02792	−	1.18628i
$151$	−12.6557	−	3.71604i	−1.02990	−	0.302407i	−0.277233	−	0.960803i	$-0.589417\pi$
$151$	−12.6557	−	3.71604i	−1.02990	−	0.302407i	−0.752672	+	0.658396i	$0.771235\pi$
$152$	6.25601	−	13.6988i	0.507430	−	1.11112i
$153$	4.35264	+	2.79727i	0.351890	+	0.226146i
$154$	−9.59155	+	2.81633i	−0.772909	+	0.226946i
$155$	−0.313697	+	2.18181i	−0.0251967	+	0.175247i
$156$	−0.585846	−	1.28282i	−0.0469053	−	0.102708i
$157$	0.587572	+	4.08665i	0.0468933	+	0.326150i	0.999742	+	0.0227050i	$0.00722785\pi$
$157$	0.587572	+	4.08665i	0.0468933	+	0.326150i	−0.952849	+	0.303445i	$0.901863\pi$
$158$	10.5260	−	6.76467i	0.837406	−	0.538168i
$159$	−16.1616	+	18.6515i	−1.28170	+	1.47916i
$160$	−8.90276			−0.703825
$161$		0			0
$162$	−17.5166			−1.37623
$163$	9.68494	−	11.1770i	0.758583	−	0.875451i	−0.236788	−	0.971561i	$-0.576095\pi$
$163$	9.68494	−	11.1770i	0.758583	−	0.875451i	0.995371	+	0.0961100i	$0.0306401\pi$
$164$	1.02468	−	0.658522i	0.0800140	−	0.0514219i
$165$	0.845552	+	5.88094i	0.0658261	+	0.457831i
$166$	11.7995	+	25.8372i	0.915816	+	2.00536i
$167$	−0.189242	+	1.31621i	−0.0146440	+	0.101851i	−0.995833	−	0.0912007i	$-0.970930\pi$
$167$	−0.189242	+	1.31621i	−0.0146440	+	0.101851i	0.981189	+	0.193052i	$0.0618386\pi$
$168$	10.7925	−	3.16896i	0.832657	−	0.244490i
$169$	−10.9038	−	7.00746i	−0.838756	−	0.539035i
$170$	1.76564	−	3.86622i	0.135419	−	0.296526i
$171$	−25.4106	−	7.46122i	−1.94320	−	0.570574i
$172$	8.32846	+	9.61155i	0.635039	+	0.732874i
$173$	11.0908	+	12.7994i	0.843214	+	0.973121i	0.999894	−	0.0145281i	$-0.00462459\pi$
$173$	11.0908	+	12.7994i	0.843214	+	0.973121i	−0.156680	+	0.987649i	$0.550079\pi$
$174$	26.4499	+	7.76638i	2.00516	+	0.588768i
$175$	−3.42145	+	7.49193i	−0.258637	+	0.566337i
$176$	−2.50187	−	1.60785i	−0.188585	−	0.121197i
$177$	−17.4086	+	5.11163i	−1.30851	+	0.384213i
$178$	−4.35921	+	30.3190i	−0.326737	+	2.27250i
$179$	−0.594604	−	1.30200i	−0.0444428	−	0.0973162i	0.886108	−	0.463478i	$-0.153399\pi$
$179$	−0.594604	−	1.30200i	−0.0444428	−	0.0973162i	−0.930551	+	0.366162i	$0.880672\pi$
$180$	−1.66690	−	11.5936i	−0.124244	−	0.864134i
$181$	13.5706	−	8.72127i	1.00869	−	0.648247i	0.0716377	−	0.997431i	$-0.477177\pi$
$181$	13.5706	−	8.72127i	1.00869	−	0.648247i	0.937054	+	0.349184i	$0.113541\pi$
$182$	−0.672741	+	0.776384i	−0.0498669	+	0.0575494i
$183$	18.6732			1.38037
$184$		0			0
$185$	−4.80153			−0.353015
$186$	6.46560	−	7.46170i	0.474081	−	0.547118i
$187$	2.50887	−	1.61235i	0.183467	−	0.117907i
$188$	1.05204	+	7.31707i	0.0767276	+	0.533653i
$189$	−0.784989	−	1.71889i	−0.0570995	−	0.125031i
$190$	−3.09612	+	21.5340i	−0.224616	+	1.56224i
$191$	−19.9042	+	5.84440i	−1.44022	+	0.422886i	−0.906294	−	0.422647i	$-0.861101\pi$
$191$	−19.9042	+	5.84440i	−1.44022	+	0.422886i	−0.533923	+	0.845533i	$0.679283\pi$
$192$	26.9688	+	17.3318i	1.94631	+	1.25082i
$193$	6.08677	−	13.3282i	0.438135	−	0.959382i	−0.553802	−	0.832649i	$-0.686823\pi$
$193$	6.08677	−	13.3282i	0.438135	−	0.959382i	0.991937	−	0.126733i	$-0.0404493\pi$
$194$	9.14198	+	2.68433i	0.656356	+	0.192723i
$195$	0.399844	+	0.461445i	0.0286334	+	0.0330448i
$196$	2.56201	+	2.95671i	0.183001	+	0.211194i
$197$	−11.2049	−	3.29004i	−0.798313	−	0.234406i	−0.142960	−	0.989728i	$-0.545662\pi$
$197$	−11.2049	−	3.29004i	−0.798313	−	0.234406i	−0.655353	+	0.755322i	$0.727480\pi$
$198$	5.80494	−	12.7111i	0.412539	−	0.903335i
$199$	4.81484	+	3.09431i	0.341315	+	0.219350i	0.700057	−	0.714087i	$-0.253158\pi$
$199$	4.81484	+	3.09431i	0.341315	+	0.219350i	−0.358742	+	0.933437i	$0.616794\pi$
$200$	6.28176	−	1.84449i	0.444188	−	0.130425i
$201$	−2.59912	+	18.0773i	−0.183328	+	1.27507i
$202$	−1.66631	−	3.64871i	−0.117241	−	0.256722i
$203$	−1.68075	−	11.6899i	−0.117966	−	0.820470i
$204$	−9.41938	+	6.05347i	−0.659488	+	0.423827i
$205$	−0.345343	+	0.398547i	−0.0241198	+	0.0278357i
$206$	33.7445			2.35109
$207$		0			0
$208$	−0.305626			−0.0211913
$209$	−9.99647	+	11.5365i	−0.691471	+	0.798000i
$210$	−13.6697	+	8.78498i	−0.943298	+	0.606221i
$211$	2.00205	+	13.9245i	0.137827	+	0.958606i	0.934948	+	0.354786i	$0.115446\pi$
$211$	2.00205	+	13.9245i	0.137827	+	0.958606i	−0.797121	+	0.603820i	$0.793645\pi$
$212$	−11.6497	−	25.5092i	−0.800102	−	1.75198i
$213$	−0.261212	+	1.81677i	−0.0178979	+	0.124483i
$214$	4.20403	−	1.23441i	0.287381	−	0.0843828i
$215$	−4.63215	−	2.97690i	−0.315910	−	0.203023i
$216$	−0.623986	+	1.36634i	−0.0424569	+	0.0929676i
$217$	−4.05857	−	1.19170i	−0.275514	−	0.0808982i
$218$	22.5042	+	25.9713i	1.52418	+	1.75900i
$219$	−10.6066	−	12.2407i	−0.716731	−	0.827151i
$220$	−6.47780	−	1.90205i	−0.436733	−	0.128236i
$221$	0.127317	−	0.278784i	0.00856424	−	0.0187531i
$222$	18.0928	+	11.6275i	1.21431	+	0.780390i
$223$	4.03331	−	1.18429i	0.270090	−	0.0793057i	−0.143883	−	0.989595i	$-0.545959\pi$
$223$	4.03331	−	1.18429i	0.270090	−	0.0793057i	0.413973	+	0.910289i	$0.364141\pi$
$224$	2.43134	−	16.9104i	0.162451	−	1.12987i
$225$	−4.78277	−	10.4728i	−0.318851	−	0.698187i
$226$	−0.466724	−	3.24614i	−0.0310460	−	0.215930i
$227$	−15.5049	+	9.96443i	−1.02910	+	0.661362i	−0.942268	−	0.334861i	$-0.891311\pi$
$227$	−15.5049	+	9.96443i	−1.02910	+	0.661362i	−0.0868320	+	0.996223i	$0.527674\pi$
$228$	37.5311	−	43.3132i	2.48556	−	2.86849i
$229$	−10.9247			−0.721923			−0.360961	−	0.932581i	$-0.617551\pi$
$229$	−10.9247			−0.721923			−0.360961	+	0.932581i	$0.617551\pi$
$230$		0			0
$231$	−11.4015			−0.750163
$232$	−6.14772	+	7.09485i	−0.403618	+	0.465799i
$233$	3.50368	−	2.25168i	0.229533	−	0.147512i	−0.420819	−	0.907144i	$-0.638257\pi$
$233$	3.50368	−	2.25168i	0.229533	−	0.147512i	0.650353	+	0.759632i	$0.274621\pi$
$234$	−0.204370	−	1.42143i	−0.0133601	−	0.0929216i
$235$	−1.32955	−	2.91130i	−0.0867300	−	0.189912i
$236$	2.93405	−	20.4068i	0.190990	−	1.32837i
$237$	13.6929	−	4.02059i	0.889447	−	0.261165i
$238$	6.86151	+	4.40962i	0.444765	+	0.285833i
$239$	−9.35396	+	20.4823i	−0.605057	+	1.32489i	0.320846	+	0.947131i	$0.396033\pi$
$239$	−9.35396	+	20.4823i	−0.605057	+	1.32489i	−0.925904	+	0.377760i	$0.876695\pi$
$240$	−4.63836	−	1.36195i	−0.299405	−	0.0879132i
$241$	3.88276	+	4.48094i	0.250110	+	0.288643i	0.866897	−	0.498488i	$-0.166111\pi$
$241$	3.88276	+	4.48094i	0.250110	+	0.288643i	−0.616786	+	0.787131i	$0.711566\pi$
$242$	10.5991	+	12.2320i	0.681334	+	0.786302i
$243$	−21.4616	−	6.30171i	−1.37676	−	0.404255i
$244$	−8.81450	+	19.3011i	−0.564290	+	1.23562i
$245$	−1.42495	−	0.915758i	−0.0910365	−	0.0585056i
$246$	2.26643	−	0.665485i	0.144503	−	0.0424298i
$247$	−0.223254	+	1.55277i	−0.0142053	+	0.0988003i
$248$	1.39677	+	3.05850i	0.0886951	+	0.194215i
$249$	4.61047	+	32.0665i	0.292177	+	2.03213i
$250$	−19.4174	+	12.4788i	−1.22806	+	0.789227i
$251$	−1.01543	+	1.17187i	−0.0640937	+	0.0739681i	−0.786891	−	0.617092i	$-0.788311\pi$
$251$	−1.01543	+	1.17187i	−0.0640937	+	0.0739681i	0.722797	+	0.691060i	$0.242856\pi$
$252$	22.4767			1.41590
$253$		0			0
$254$	13.2093			0.828824
$255$	3.17457	−	3.66365i	0.198799	−	0.229426i
$256$	−3.94983	+	2.53840i	−0.246864	+	0.158650i
$257$	−3.90766	−	27.1784i	−0.243753	−	1.69534i	−0.632954	−	0.774189i	$-0.718158\pi$
$257$	−3.90766	−	27.1784i	−0.243753	−	1.69534i	0.389201	−	0.921153i	$-0.372751\pi$
$258$	10.2456	+	22.4348i	0.637864	+	1.39673i
$259$	1.31130	−	9.12028i	0.0814801	−	0.566706i
$260$	−0.665701	+	0.195468i	−0.0412850	+	0.0121224i
$261$	13.8883	+	8.92548i	0.859665	+	0.552473i
$262$	−11.6888	+	25.5948i	−0.722135	+	1.58125i
$263$	−12.4165	−	3.64582i	−0.765635	−	0.224811i	−0.124480	−	0.992222i	$-0.539726\pi$
$263$	−12.4165	−	3.64582i	−0.765635	−	0.224811i	−0.641155	+	0.767412i	$0.721544\pi$
$264$	5.93502	+	6.84938i	0.365275	+	0.421550i
$265$	7.95097	+	9.17591i	0.488424	+	0.563672i
$266$	−40.0573	−	11.7619i	−2.45607	−	0.721167i
$267$	−14.5129	+	31.7789i	−0.888176	+	1.94483i
$268$	−17.4582	−	11.2197i	−1.06643	−	0.685351i
$269$	9.59269	−	2.81667i	0.584876	−	0.171735i	0.0241100	−	0.999709i	$-0.492325\pi$
$269$	9.59269	−	2.81667i	0.584876	−	0.171735i	0.560766	+	0.827974i	$0.310507\pi$
$270$	0.308813	−	2.14784i	0.0187938	−	0.130713i
$271$	1.83256	+	4.01274i	0.111320	+	0.243757i	0.957090	−	0.289791i	$-0.0935858\pi$
$271$	1.83256	+	4.01274i	0.111320	+	0.243757i	−0.845770	+	0.533548i	$0.820858\pi$
$272$	0.345329	+	2.40182i	0.0209387	+	0.145632i
$273$	−0.985691	+	0.633465i	−0.0596567	+	0.0383390i
$274$	1.00662	−	1.16170i	0.0608122	−	0.0701811i
$275$	−6.63624			−0.400180
$276$		0			0
$277$	−30.8042			−1.85085			−0.925423	−	0.378935i	$-0.876290\pi$
$277$	−30.8042			−1.85085			−0.925423	+	0.378935i	$0.876290\pi$
$278$	−20.1392	+	23.2419i	−1.20787	+	1.39396i
$279$	4.97425	−	3.19676i	0.297801	−	0.191385i
$280$	−0.787527	−	5.47737i	−0.0470637	−	0.327335i
$281$	1.48690	+	3.25585i	0.0887009	+	0.194228i	0.948784	−	0.315927i	$-0.102315\pi$
$281$	1.48690	+	3.25585i	0.0887009	+	0.194228i	−0.860083	+	0.510155i	$0.829588\pi$
$282$	−2.04019	+	14.1898i	−0.121492	+	0.844993i
$283$	14.1817	−	4.16412i	0.843014	−	0.247531i	0.168416	−	0.985716i	$-0.446135\pi$
$283$	14.1817	−	4.16412i	0.843014	−	0.247531i	0.674599	+	0.738185i	$0.264317\pi$
$284$	−1.75455	−	1.12758i	−0.104113	−	0.0669095i
$285$	−10.3078	+	22.5709i	−0.610580	+	1.33698i
$286$	−0.794209	−	0.233201i	−0.0469625	−	0.0137894i
$287$	−0.662708	−	0.764806i	−0.0391184	−	0.0451451i
$288$	15.6392	+	18.0486i	0.921548	+	1.06352i
$289$	13.9766	+	4.10391i	0.822155	+	0.241407i
$290$	5.63378	−	12.3363i	0.330827	−	0.724410i
$291$	9.14198	+	5.87519i	0.535912	+	0.344410i
$292$	17.6590	−	5.18516i	1.03342	−	0.303438i
$293$	3.06168	−	21.2945i	0.178866	−	1.24404i	−0.680528	−	0.732722i	$-0.738250\pi$
$293$	3.06168	−	21.2945i	0.178866	−	1.24404i	0.859393	−	0.511315i	$-0.170841\pi$
$294$	3.15177	+	6.90141i	0.183815	+	0.402498i
$295$	1.27031	+	8.83517i	0.0739600	+	0.514403i
$296$	−6.16154	+	3.95978i	−0.358132	+	0.230158i
$297$	0.997067	−	1.15068i	0.0578557	−	0.0667690i
$298$	36.6660			2.12401
$299$		0			0
$300$	24.9153			1.43849
$301$	6.91953	−	7.98557i	0.398835	−	0.460280i
$302$	24.4516	−	15.7141i	1.40703	−	0.904242i
$303$	−0.651086	−	4.52840i	−0.0374039	−	0.260150i
$304$	−5.15956	−	11.2979i	−0.295921	−	0.647977i
$305$	1.30739	−	9.09311i	0.0748611	−	0.520670i
$306$	−10.9397	+	3.21217i	−0.625378	+	0.183628i
$307$	11.8995	+	7.64733i	0.679139	+	0.436456i	0.834210	−	0.551447i	$-0.185924\pi$
$307$	11.8995	+	7.64733i	0.679139	+	0.436456i	−0.155071	+	0.987903i	$0.549561\pi$
$308$	5.38195	−	11.7848i	0.306665	−	0.671503i
$309$	36.9283	+	10.8431i	2.10078	+	0.616844i
$310$	−3.18086	−	3.67091i	−0.180661	−	0.208494i
$311$	−0.373362	−	0.430883i	−0.0211714	−	0.0244331i	0.745065	−	0.666992i	$-0.232418\pi$
$311$	−0.373362	−	0.430883i	−0.0211714	−	0.0244331i	−0.766237	+	0.642559i	$0.777873\pi$
$312$	0.893649	+	0.262399i	0.0505929	+	0.0148554i
$313$	8.77886	−	19.2230i	0.496210	−	1.08655i	−0.481472	−	0.876461i	$-0.659898\pi$
$313$	8.77886	−	19.2230i	0.496210	−	1.08655i	0.977683	−	0.210088i	$-0.0673750\pi$
$314$	−7.65373	−	4.91876i	−0.431925	−	0.277582i
$315$	−9.33716	+	2.74164i	−0.526089	+	0.154474i
$316$	−2.30780	+	16.0511i	−0.129824	+	0.902945i
$317$	−3.66069	−	8.01580i	−0.205605	−	0.450212i	0.778536	−	0.627600i	$-0.215963\pi$
$317$	−3.66069	−	8.01580i	−0.205605	−	0.450212i	−0.984141	+	0.177388i	$0.943235\pi$
$318$	−7.73965	−	53.8305i	−0.434018	−	3.01866i
$319$	8.00524	−	5.14466i	0.448208	−	0.288046i
$320$	10.3281	−	11.9193i	0.577358	−	0.666307i
$321$	4.99734			0.278924
$322$		0			0
$323$	12.4550			0.693015
$324$	14.8665	−	17.1568i	0.825916	−	0.953157i
$325$	−0.573721	+	0.368708i	−0.0318243	+	0.0204523i
$326$	4.63803	+	32.2582i	0.256877	+	1.78662i
$327$	16.2822	+	35.6530i	0.900406	+	1.97161i
$328$	−0.114481	+	0.796236i	−0.00632118	+	0.0439648i
$329$	5.89298	−	1.73033i	0.324890	−	0.0953964i
$330$	−11.0142	−	7.07839i	−0.606311	−	0.389653i
$331$	12.5403	−	27.4595i	0.689279	−	1.50931i	−0.163224	−	0.986589i	$-0.552189\pi$
$331$	12.5403	−	27.4595i	0.689279	−	1.50931i	0.852503	−	0.522722i	$-0.175084\pi$
$332$	−35.3209	−	10.3712i	−1.93849	−	0.569191i
$333$	8.43469	+	9.73415i	0.462218	+	0.533428i
$334$	−1.91890	−	2.21453i	−0.104998	−	0.121174i
$335$	8.62092	+	2.53133i	0.471011	+	0.138301i
$336$	3.85369	−	8.43840i	0.210236	−	0.460352i
$337$	4.16906	+	2.67929i	0.227103	+	0.145950i	0.649245	−	0.760580i	$-0.275085\pi$
$337$	4.16906	+	2.67929i	0.227103	+	0.145950i	−0.422142	+	0.906530i	$0.638722\pi$
$338$	27.4050	−	8.04683i	1.49063	−	0.437690i
$339$	0.532323	−	3.70239i	0.0289118	−	0.201086i
$340$	2.28830	+	5.01068i	0.124101	+	0.271743i
$341$	−0.485038	−	3.37351i	−0.0262663	−	0.182686i
$342$	49.0948	−	31.5513i	2.65474	−	1.70610i
$343$	13.0055	−	15.0091i	0.702231	−	0.810418i
$344$	−8.39923			−0.452856
$345$		0			0
$346$	−37.3205			−2.00636
$347$	4.43141	−	5.11412i	0.237891	−	0.274541i	−0.624233	−	0.781238i	$-0.714588\pi$
$347$	4.43141	−	5.11412i	0.237891	−	0.274541i	0.862124	+	0.506698i	$0.169134\pi$
$348$	−30.0552	+	19.3153i	−1.61113	+	1.03541i
$349$	−1.43622	−	9.98913i	−0.0768791	−	0.534706i	−0.991471	−	0.130328i	$-0.958397\pi$
$349$	−1.43622	−	9.98913i	−0.0768791	−	0.534706i	0.914592	−	0.404378i	$-0.132512\pi$
$350$	−7.53956	−	16.5093i	−0.403007	−	0.882461i
$351$	0.0222678	−	0.154876i	0.00118857	−	0.00826667i
$352$	13.2079	−	3.87817i	0.703981	−	0.206707i
$353$	20.5849	+	13.2291i	1.09562	+	0.704113i	0.958114	−	0.286388i	$-0.0924546\pi$
$353$	20.5849	+	13.2291i	1.09562	+	0.704113i	0.137507	+	0.990501i	$0.456091\pi$
$354$	16.6089	−	36.3683i	0.882751	−	1.93296i
$355$	0.866403	+	0.254399i	0.0459839	+	0.0135021i
$356$	−25.9966	−	30.0017i	−1.37782	−	1.59009i
$357$	6.09195	+	7.03049i	0.322420	+	0.372093i
$358$	3.02638	+	0.888625i	0.159949	+	0.0469653i
$359$	−0.173981	+	0.380966i	−0.00918237	+	0.0201066i	−0.914168	−	0.405336i	$-0.867154\pi$
$359$	−0.173981	+	0.380966i	−0.00918237	+	0.0201066i	0.904985	+	0.425443i	$0.139882\pi$
$360$	6.50745	+	4.18209i	0.342973	+	0.220415i
$361$	−42.9388	+	12.6080i	−2.25994	+	0.663577i
$362$	−5.05891	+	35.1855i	−0.265890	+	1.84931i
$363$	7.66860	+	16.7919i	0.402497	+	0.881346i
$364$	−0.189478	−	1.31785i	−0.00993136	−	0.0690741i
$365$	−6.70335	+	4.30798i	−0.350869	+	0.225490i
$366$	−26.9466	+	31.0981i	−1.40852	+	1.62552i
$367$	−28.5682			−1.49125			−0.745624	−	0.666367i	$-0.767849\pi$
$367$	−28.5682			−1.49125			−0.745624	+	0.666367i	$0.767849\pi$
$368$		0			0
$369$	1.41463			0.0736426
$370$	6.92890	−	7.99637i	0.360216	−	0.415712i
$371$	−19.6006	+	12.5966i	−1.01761	+	0.653981i
$372$	1.82104	+	12.6656i	0.0944167	+	0.656683i
$373$	−5.98520	−	13.1058i	−0.309902	−	0.678591i	0.689033	−	0.724730i	$-0.258036\pi$
$373$	−5.98520	−	13.1058i	−0.309902	−	0.678591i	−0.998935	+	0.0461391i	$0.985308\pi$
$374$	−0.935270	+	6.50494i	−0.0483616	+	0.336363i
$375$	−25.2592	+	7.41678i	−1.30438	+	0.383001i
$376$	−4.10706	−	2.63945i	−0.211806	−	0.136119i
$377$	0.406239	−	0.889540i	0.0209224	−	0.0458136i
$378$	3.99539	+	1.17315i	0.205501	+	0.0603404i
$379$	−3.68498	−	4.25270i	−0.189285	−	0.218446i	0.653173	−	0.757209i	$-0.273437\pi$
$379$	−3.68498	−	4.25270i	−0.189285	−	0.218446i	−0.842458	+	0.538762i	$0.818892\pi$
$380$	−18.4641	−	21.3087i	−0.947187	−	1.09311i
$381$	14.4556	+	4.24455i	0.740582	+	0.217455i
$382$	18.9898	−	41.5819i	0.971604	−	2.12752i
$383$	−0.194885	−	0.125245i	−0.00995815	−	0.00639971i	0.535652	−	0.844439i	$-0.320066\pi$
$383$	−0.194885	−	0.125245i	−0.00995815	−	0.00639971i	−0.545610	+	0.838039i	$0.683702\pi$
$384$	−33.0553	+	9.70592i	−1.68685	+	0.495303i
$385$	−0.798266	+	5.55206i	−0.0406834	+	0.282959i
$386$	13.4129	+	29.3701i	0.682698	+	1.49490i
$387$	2.10207	+	14.6202i	0.106854	+	0.743187i
$388$	−10.3881	+	6.67602i	−0.527376	+	0.338924i
$389$	−19.7570	+	22.8008i	−1.00172	+	1.15605i	−0.0139870	+	0.999902i	$0.504452\pi$
$389$	−19.7570	+	22.8008i	−1.00172	+	1.15605i	−0.987734	+	0.156146i	$0.950093\pi$
$390$	−1.34548			−0.0681311
$391$		0			0
$392$	−2.58378			−0.130500
$393$	−21.0160	+	24.2538i	−1.06012	+	1.22344i
$394$	21.6485	−	13.9126i	1.09063	−	0.700909i
$395$	−0.999168	−	6.94937i	−0.0502736	−	0.349661i
$396$	7.52330	+	16.4737i	0.378060	+	0.827836i
$397$	1.85654	−	12.9125i	0.0931768	−	0.648059i	−0.888693	−	0.458503i	$-0.848386\pi$
$397$	1.85654	−	12.9125i	0.0931768	−	0.648059i	0.981870	−	0.189556i	$-0.0607050\pi$
$398$	−12.1013	+	3.55327i	−0.606584	+	0.178109i
$399$	−40.0573	−	25.7433i	−2.00537	−	1.28877i
$400$	2.24304	−	4.91157i	0.112152	−	0.245579i
$401$	−20.4619	−	6.00816i	−1.02182	−	0.300033i	−0.272439	−	0.962173i	$-0.587830\pi$
$401$	−20.4619	−	6.00816i	−1.02182	−	0.300033i	−0.749380	+	0.662140i	$0.769648\pi$
$402$	−26.3549	−	30.4151i	−1.31446	−	1.51697i
$403$	−0.229365	−	0.264701i	−0.0114255	−	0.0131857i
$404$	4.98799	+	1.46461i	0.248162	+	0.0728669i
$405$	−4.08302	+	8.94057i	−0.202887	+	0.444261i
$406$	21.8936	+	14.0701i	1.08656	+	0.698289i
$407$	7.12339	−	2.09162i	0.353093	−	0.103678i
$408$	1.05237	−	7.31941i	0.0521002	−	0.362365i
$409$	−3.80064	−	8.32224i	−0.187930	−	0.411509i	0.792091	−	0.610403i	$-0.208992\pi$
$409$	−3.80064	−	8.32224i	−0.187930	−	0.411509i	−0.980021	+	0.198894i	$0.936265\pi$
$410$	−0.165382	−	1.15026i	−0.00816762	−	0.0568071i
$411$	1.47489	−	0.947853i	0.0727509	−	0.0467542i
$412$	−28.6393	+	33.0515i	−1.41096	+	1.62833i
$413$	−17.1289			−0.842859
$414$		0			0
$415$	15.9379			0.782360
$416$	0.926385	−	1.06910i	0.0454197	−	0.0524172i
$417$	−29.5077	+	18.9635i	−1.44500	+	0.928645i
$418$	−4.78723	−	33.2959i	−0.234151	−	1.62855i
$419$	3.72802	+	8.16322i	0.182125	+	0.398799i	0.978571	−	0.205912i	$-0.0660159\pi$
$419$	3.72802	+	8.16322i	0.182125	+	0.398799i	−0.796445	+	0.604711i	$0.793289\pi$
$420$	2.99704	−	20.8449i	0.146241	−	1.01713i
$421$	30.1974	−	8.86677i	1.47173	−	0.432140i	0.555071	−	0.831803i	$-0.312691\pi$
$421$	30.1974	−	8.86677i	1.47173	−	0.432140i	0.916662	+	0.399663i	$0.130873\pi$
$422$	−26.0788	−	16.7598i	−1.26949	−	0.815855i
$423$	−3.56652	+	7.80958i	−0.173410	+	0.379715i
$424$	17.7704	+	5.21785i	0.863005	+	0.253401i
$425$	3.54582	+	4.09210i	0.171998	+	0.198496i
$426$	−2.64867	−	3.05672i	−0.128328	−	0.148099i
$427$	16.9149	+	4.96666i	0.818569	+	0.240354i
$428$	−2.35894	+	5.16535i	−0.114024	+	0.249677i
$429$	−0.794209	−	0.510407i	−0.0383448	−	0.0246427i
$430$	11.6422	−	3.41845i	0.561435	−	0.164852i
$431$	−3.14550	+	21.8774i	−0.151513	+	1.05380i	0.762171	+	0.647375i	$0.224133\pi$
$431$	−3.14550	+	21.8774i	−0.151513	+	1.05380i	−0.913685	+	0.406423i	$0.866776\pi$
$432$	0.514624	+	1.12687i	0.0247599	+	0.0542165i
$433$	1.80672	+	12.5660i	0.0868255	+	0.603885i	0.986057	+	0.166411i	$0.0532177\pi$
$433$	1.80672	+	12.5660i	0.0868255	+	0.603885i	−0.899231	+	0.437474i	$0.855873\pi$
$434$	7.84142	−	5.03937i	0.376400	−	0.241898i
$435$	10.1293	−	11.6899i	0.485665	−	0.560487i
$436$	−44.5375			−2.13296
$437$		0			0
$438$	35.6915			1.70541
$439$	−12.0632	+	13.9217i	−0.575745	+	0.664445i	−0.966684	−	0.255971i	$-0.917605\pi$
$439$	−12.0632	+	13.9217i	−0.575745	+	0.664445i	0.390940	+	0.920416i	$0.372150\pi$
$440$	3.75090	−	2.41056i	0.178817	−	0.114919i
$441$	0.646641	+	4.49748i	0.0307924	+	0.214166i
$442$	0.280557	+	0.614334i	0.0133447	+	0.0292209i
$443$	1.98000	−	13.7712i	0.0940724	−	0.654288i	−0.887160	−	0.461461i	$-0.847325\pi$
$443$	1.98000	−	13.7712i	0.0940724	−	0.654288i	0.981233	−	0.192827i	$-0.0617656\pi$
$444$	−26.7443	+	7.85284i	−1.26923	+	0.372679i
$445$	14.4589	+	9.29218i	0.685418	+	0.440491i
$446$	−3.84803	+	8.42600i	−0.182209	+	0.398983i
$447$	40.1255	+	11.7819i	1.89787	+	0.557265i
$448$	19.8195	+	22.8729i	0.936382	+	1.08064i
$449$	−19.7064	−	22.7424i	−0.930001	−	1.07328i	−0.997143	−	0.0755354i	$-0.975933\pi$
$449$	−19.7064	−	22.7424i	−0.930001	−	1.07328i	0.0671417	−	0.997743i	$-0.478612\pi$
$450$	24.3430	+	7.14776i	1.14754	+	0.336949i
$451$	0.338727	−	0.741708i	0.0159500	−	0.0349257i
$452$	3.57559	+	2.29789i	0.168182	+	0.108084i
$453$	31.8080	−	9.33967i	1.49447	−	0.438816i
$454$	5.78002	−	40.2009i	0.271270	−	1.88672i
$455$	0.239459	+	0.524343i	0.0112260	+	0.0245816i
$456$	5.38662	+	37.4648i	0.252252	+	1.75445i
$457$	−32.0076	+	20.5701i	−1.49725	+	0.962227i	−0.502005	+	0.864865i	$0.667404\pi$
$457$	−32.0076	+	20.5701i	−1.49725	+	0.962227i	−0.995249	+	0.0973617i	$0.968960\pi$
$458$	15.7650	−	18.1938i	0.736649	−	0.850138i
$459$	−1.24228			−0.0579849
$460$		0			0
$461$	8.76016			0.408001			0.204001	−	0.978971i	$-0.434606\pi$
$461$	8.76016			0.408001			0.204001	+	0.978971i	$0.434606\pi$
$462$	16.4531	−	18.9878i	0.765465	−	0.883394i
$463$	−23.4177	+	15.0497i	−1.08831	+	0.699417i	−0.956463	−	0.291852i	$-0.905728\pi$
$463$	−23.4177	+	15.0497i	−1.08831	+	0.699417i	−0.131851	+	0.991270i	$0.542092\pi$
$464$	1.10187	+	7.66368i	0.0511530	+	0.355777i
$465$	−2.30140	−	5.03937i	−0.106725	−	0.233695i
$466$	−1.30612	+	9.08426i	−0.0605048	+	0.420820i
$467$	−16.6629	+	4.89266i	−0.771066	+	0.226406i	−0.643522	−	0.765427i	$-0.722528\pi$
$467$	−16.6629	+	4.89266i	−0.771066	+	0.226406i	−0.127544	+	0.991833i	$0.540709\pi$
$468$	1.56569	+	1.00621i	0.0723740	+	0.0465119i
$469$	−7.16252	+	15.6837i	−0.330735	+	0.724208i
$470$	6.76704	+	1.98698i	0.312140	+	0.0916526i
$471$	−6.79533	−	7.84223i	−0.313112	−	0.361351i
$472$	8.91641	+	10.2901i	0.410411	+	0.473640i
$473$	8.16890	+	2.39861i	0.375606	+	0.110288i
$474$	−13.0638	+	28.6058i	−0.600042	+	1.31391i
$475$	−23.3153	−	14.9839i	−1.06978	−	0.687507i
$476$	−10.1425	+	2.97811i	−0.464881	+	0.136501i
$477$	4.63513	−	32.2381i	0.212228	−	1.47608i
$478$	−20.6125	−	45.1352i	−0.942795	−	2.06443i
$479$	−3.62587	−	25.2185i	−0.165670	−	1.15226i	−0.887708	−	0.460407i	$-0.847703\pi$
$479$	−3.62587	−	25.2185i	−0.165670	−	1.15226i	0.722038	−	0.691854i	$-0.243206\pi$
$480$	18.8236	−	12.0972i	0.859175	−	0.552158i
$481$	0.499627	−	0.576601i	0.0227810	−	0.0262907i
$482$	−13.0655			−0.595119
$483$		0			0
$484$	−20.9763			−0.953469
$485$	3.50105	−	4.04043i	0.158974	−	0.183466i
$486$	41.4652	−	26.6481i	1.88090	−	1.20878i
$487$	0.876812	+	6.09836i	0.0397321	+	0.276343i	0.999996	−	0.00274985i	$-0.000875307\pi$
$487$	0.876812	+	6.09836i	0.0397321	+	0.276343i	−0.960264	+	0.279093i	$0.909966\pi$
$488$	−5.82132	−	12.7469i	−0.263519	−	0.577025i
$489$	−5.28992	+	36.7922i	−0.239218	+	1.66380i
$490$	3.58137	−	1.05159i	0.161790	−	0.0475058i
$491$	−27.4649	−	17.6506i	−1.23947	−	0.796562i	−0.254135	−	0.967169i	$-0.581791\pi$
$491$	−27.4649	−	17.6506i	−1.23947	−	0.796562i	−0.985339	+	0.170607i	$0.945427\pi$
$492$	−1.27173	+	2.78469i	−0.0573339	+	0.125544i
$493$	−7.44964	−	2.18741i	−0.335515	−	0.0985161i
$494$	−2.26378	−	2.61254i	−0.101852	−	0.117544i
$495$	−5.13471	−	5.92577i	−0.230788	−	0.266343i
$496$	2.66073	+	0.781260i	0.119470	+	0.0350796i
$497$	−0.719834	+	1.57622i	−0.0322890	+	0.0707030i
$498$	−60.0562	−	38.5958i	−2.69118	−	1.72952i
$499$	8.22640	−	2.41549i	0.368264	−	0.108132i	−0.0923641	−	0.995725i	$-0.529442\pi$
$499$	8.22640	−	2.41549i	0.368264	−	0.108132i	0.460628	+	0.887593i	$0.347624\pi$
$500$	4.25720	−	29.6095i	0.190388	−	1.32418i
$501$	−1.38836	−	3.04008i	−0.0620272	−	0.135821i
$502$	−0.486283	−	3.38217i	−0.0217039	−	0.150954i
$503$	−5.68312	+	3.65232i	−0.253398	+	0.162849i	−0.661173	−	0.750233i	$-0.729941\pi$
$503$	−5.68312	+	3.65232i	−0.253398	+	0.162849i	0.407775	+	0.913082i	$0.366305\pi$
$504$	−9.72087	+	11.2185i	−0.433002	+	0.499711i
$505$	−2.25073			−0.100156
$506$		0			0
$507$	32.5764			1.44677
$508$	−11.2109	+	12.9380i	−0.497401	+	0.574032i
$509$	34.4683	−	22.1514i	1.52778	−	0.981845i	0.537423	−	0.843313i	$-0.319398\pi$
$509$	34.4683	−	22.1514i	1.52778	−	0.981845i	0.990358	−	0.138532i	$-0.0442384\pi$
$510$	1.52027	+	10.5737i	0.0673188	+	0.468213i
$511$	−6.35213	−	13.9092i	−0.281001	−	0.615307i
$512$	−2.42904	+	16.8943i	−0.107349	+	0.746631i
$513$	6.10112	−	1.79145i	0.269371	−	0.0790945i
$514$	50.9014	+	32.7124i	2.24517	+	1.44288i
$515$	7.86567	−	17.2234i	0.346603	−	0.758954i
$516$	−30.6696	−	9.00541i	−1.35015	−	0.396441i
$517$	3.24068	+	3.73994i	0.142525	+	0.164482i
$518$	13.2965	+	15.3449i	0.584213	+	0.674217i
$519$	−40.8418	−	11.9922i	−1.79276	−	0.526400i
$520$	0.190346	−	0.416799i	0.00834722	−	0.0182779i
$521$	15.7540	+	10.1245i	0.690196	+	0.443562i	0.838156	−	0.545431i	$-0.183634\pi$
$521$	15.7540	+	10.1245i	0.690196	+	0.443562i	−0.147959	+	0.988993i	$0.547270\pi$
$522$	−34.9060	+	10.2493i	−1.52780	+	0.448601i
$523$	3.35351	−	23.3242i	0.146639	−	1.01989i	−0.775032	−	0.631922i	$-0.782266\pi$
$523$	3.35351	−	23.3242i	0.146639	−	1.01989i	0.921671	−	0.387973i	$-0.126824\pi$
$524$	−15.1488	−	33.1713i	−0.661780	−	1.44910i
$525$	−2.94597	−	20.4897i	−0.128573	−	0.894244i
$526$	23.9895	−	15.4171i	1.04599	−	0.672217i
$527$	−1.82104	+	2.10160i	−0.0793259	+	0.0915470i
$528$	7.47461			0.325291
$529$		0			0
$530$	−26.7551			−1.16217
$531$	15.6801	−	18.0958i	0.680457	−	0.785289i
$532$	45.5174	−	29.2522i	1.97343	−	1.26825i
$533$	−0.0119253	−	0.0829423i	−0.000516542	−	0.00359263i
$534$	−31.9809	−	70.0284i	−1.38395	−	3.03043i
$535$	0.349885	−	2.43350i	0.0151268	−	0.105209i
$536$	13.1503	−	3.86129i	0.568008	−	0.166782i
$537$	3.02638	+	1.94494i	0.130598	+	0.0839302i
$538$	−9.15201	+	20.0401i	−0.394571	+	0.863990i
$539$	2.51292	+	0.737861i	0.108239	+	0.0317819i
$540$	1.84164	+	2.12537i	0.0792516	+	0.0914612i
$541$	−0.624271	−	0.720447i	−0.0268395	−	0.0309744i	0.742171	−	0.670210i	$-0.233796\pi$
$541$	−0.624271	−	0.720447i	−0.0268395	−	0.0309744i	−0.769011	+	0.639236i	$0.779251\pi$
$542$	−9.32724	−	2.73873i	−0.400639	−	0.117638i
$543$	−16.8424	+	36.8797i	−0.722776	+	1.58266i
$544$	−9.44850	−	6.07218i	−0.405101	−	0.260343i
$545$	18.5015	−	5.43254i	0.792519	−	0.232704i
$546$	0.367451	−	2.55568i	0.0157255	−	0.109373i
$547$	12.3736	+	27.0943i	0.529055	+	1.15847i	0.965896	+	0.258930i	$0.0833700\pi$
$547$	12.3736	+	27.0943i	0.529055	+	1.15847i	−0.436841	+	0.899539i	$0.643903\pi$
$548$	0.283516	+	1.97190i	0.0121112	+	0.0842354i
$549$	−20.7312	+	13.3231i	−0.884784	+	0.568616i
$550$	9.57650	−	11.0519i	0.408343	−	0.471253i
$551$	39.7412			1.69303
$552$		0			0
$553$	13.4729			0.572925
$554$	44.4524	−	51.3008i	1.88860	−	2.17956i
$555$	10.1521	−	6.52437i	0.430934	−	0.276944i
$556$	−5.67224	−	39.4513i	−0.240557	−	1.67311i
$557$	2.49611	+	5.46572i	0.105764	+	0.231590i	0.955113	−	0.296240i	$-0.0957330\pi$
$557$	2.49611	+	5.46572i	0.105764	+	0.231590i	−0.849350	+	0.527830i	$0.823006\pi$
$558$	−1.85433	+	12.8971i	−0.0785000	+	0.545980i
$559$	0.839490	−	0.246497i	0.0355067	−	0.0104257i
$560$	−3.83935	−	2.46740i	−0.162242	−	0.104267i
$561$	−3.11375	+	6.81816i	−0.131463	+	0.287863i
$562$	−7.56792	−	2.22214i	−0.319234	−	0.0937354i
$563$	0.0584071	+	0.0674053i	0.00246156	+	0.00284080i	0.756979	−	0.653439i	$-0.226674\pi$
$563$	0.0584071	+	0.0674053i	0.00246156	+	0.00284080i	−0.754517	+	0.656280i	$0.772129\pi$
$564$	−12.1669	−	14.0414i	−0.512319	−	0.591248i
$565$	−1.76564	−	0.518440i	−0.0742812	−	0.0218109i
$566$	−13.5302	+	29.6270i	−0.568717	+	1.24532i
$567$	−15.8671	−	10.1972i	−0.666357	−	0.428241i
$568$	1.32161	−	0.388060i	0.0554535	−	0.0162826i
$569$	−5.88608	+	40.9386i	−0.246757	+	1.71623i	0.369958	+	0.929049i	$0.379372\pi$
$569$	−5.88608	+	40.9386i	−0.246757	+	1.71623i	−0.616715	+	0.787186i	$0.711537\pi$
$570$	−22.7144	−	49.7376i	−0.951401	−	2.08328i
$571$	3.67037	+	25.5280i	0.153600	+	1.06831i	0.910121	+	0.414343i	$0.135989\pi$
$571$	3.67037	+	25.5280i	0.153600	+	1.06831i	−0.756521	+	0.653970i	$0.773102\pi$
$572$	0.902465	−	0.579979i	0.0377339	−	0.0242501i
$573$	34.1431	−	39.4032i	1.42635	−	1.64609i
$574$	2.23002			0.0930793
$575$		0			0
$576$	−42.3070			−1.76279
$577$	−17.7757	+	20.5142i	−0.740011	+	0.854018i	−0.993560	−	0.113304i	$-0.963857\pi$
$577$	−17.7757	+	20.5142i	−0.740011	+	0.854018i	0.253549	+	0.967323i	$0.418402\pi$
$578$	−27.0037	+	17.3542i	−1.12321	+	0.721841i
$579$	5.24089	+	36.4512i	0.217804	+	1.51486i
$580$	7.30147	+	15.9880i	0.303177	+	0.663865i
$581$	−4.35264	+	30.2733i	−0.180578	+	1.25595i
$582$	−22.9769	+	6.74662i	−0.952422	+	0.279656i
$583$	−15.7930	−	10.1495i	−0.654078	−	0.420351i
$584$	−5.04929	+	11.0564i	−0.208941	+	0.457517i
$585$	−0.773144	−	0.227016i	−0.0319656	−	0.00938594i
$586$	31.0452	+	35.8281i	1.28247	+	1.48005i
$587$	−20.7164	−	23.9080i	−0.855057	−	0.986788i	0.144940	−	0.989440i	$-0.453701\pi$
$587$	−20.7164	−	23.9080i	−0.855057	−	0.986788i	−0.999996	+	0.00265257i	$0.999156\pi$
$588$	−9.43461	−	2.77025i	−0.389077	−	0.114243i
$589$	5.91290	−	12.9475i	0.243637	−	0.533490i
$590$	−16.5471	−	10.6341i	−0.681231	−	0.437801i
$591$	28.1616	−	8.26899i	1.15841	−	0.340141i
$592$	−0.859662	+	5.97908i	−0.0353319	+	0.245739i
$593$	−10.6953	−	23.4194i	−0.439202	−	0.961718i	−0.991744	−	0.128233i	$-0.959069\pi$
$593$	−10.6953	−	23.4194i	−0.439202	−	0.961718i	0.552542	−	0.833485i	$-0.313658\pi$
$594$	0.477487	+	3.32099i	0.0195915	+	0.136262i
$595$	3.85009	−	2.47430i	0.157838	−	0.101436i
$596$	−31.1188	+	35.9130i	−1.27468	+	1.47106i
$597$	−14.3849			−0.588733
$598$		0			0
$599$	16.9434			0.692289			0.346144	−	0.938181i	$-0.387491\pi$
$599$	16.9434			0.692289			0.346144	+	0.938181i	$0.387491\pi$
$600$	−10.7755	+	12.4356i	−0.439910	+	0.507683i
$601$	−8.12227	+	5.21986i	−0.331314	+	0.212923i	−0.695712	−	0.718321i	$-0.744911\pi$
$601$	−8.12227	+	5.21986i	−0.331314	+	0.212923i	0.364398	+	0.931243i	$0.381275\pi$
$602$	3.31370	+	23.0473i	0.135057	+	0.939339i
$603$	−10.0123	−	21.9239i	−0.407734	−	0.892812i
$604$	−5.36093	+	37.2861i	−0.218133	+	1.51715i
$605$	8.71388	−	2.55863i	0.354270	−	0.104023i
$606$	8.48108	+	5.45046i	0.344520	+	0.221410i
$607$	1.34813	−	2.95200i	0.0547191	−	0.119818i	−0.880297	−	0.474422i	$-0.842657\pi$
$607$	1.34813	−	2.95200i	0.0547191	−	0.119818i	0.935017	+	0.354604i	$0.115384\pi$
$608$	55.1601	+	16.1965i	2.23704	+	0.656853i
$609$	19.4381	+	22.4327i	0.787671	+	0.909020i
$610$	13.2569	+	15.2992i	0.536754	+	0.619448i
$611$	0.487956	+	0.143277i	0.0197406	+	0.00579636i
$612$	6.13839	−	13.4412i	0.248130	−	0.543328i
$613$	27.6893	+	17.7948i	1.11836	+	0.718726i	0.963099	−	0.269148i	$-0.0867420\pi$
$613$	27.6893	+	17.7948i	1.11836	+	0.718726i	0.155260	+	0.987874i	$0.450378\pi$
$614$	−29.9074	+	8.78161i	−1.20696	+	0.354397i
$615$	0.188626	−	1.31193i	0.00760615	−	0.0529019i
$616$	3.55437	+	7.78299i	0.143210	+	0.313586i
$617$	0.430421	+	2.99364i	0.0173281	+	0.120519i	0.996649	−	0.0817912i	$-0.0260640\pi$
$617$	0.430421	+	2.99364i	0.0173281	+	0.120519i	−0.979321	+	0.202311i	$0.935155\pi$
$618$	−71.3478	+	45.8524i	−2.87003	+	1.84445i
$619$	6.82521	−	7.87671i	0.274328	−	0.316592i	−0.601822	−	0.798631i	$-0.705558\pi$
$619$	6.82521	−	7.87671i	0.274328	−	0.316592i	0.876150	+	0.482039i	$0.160104\pi$
$620$	6.29515			0.252819
$621$		0			0
$622$	1.25637			0.0503758
$623$	−21.5988	+	24.9263i	−0.865337	+	0.998652i
$624$	0.646201	−	0.415288i	0.0258687	−	0.0166248i
$625$	−0.626794	−	4.35944i	−0.0250717	−	0.174378i
$626$	19.3452	+	42.3601i	0.773191	+	1.69305i
$627$	5.46008	−	37.9757i	0.218054	−	1.51660i
$628$	11.3135	−	3.32196i	0.451460	−	0.132561i
$629$	−5.09586	−	3.27491i	−0.203185	−	0.130579i
$630$	8.90822	−	19.5063i	0.354912	−	0.777149i
$631$	32.7200	+	9.60745i	1.30256	+	0.382466i	0.858170	−	0.513366i	$-0.171602\pi$
$631$	32.7200	+	9.60745i	1.30256	+	0.382466i	0.444392	+	0.895833i	$0.353420\pi$
$632$	−7.01327	−	8.09375i	−0.278973	−	0.321952i
$633$	−23.1539	−	26.7210i	−0.920285	−	1.06206i
$634$	18.6320	+	5.47084i	0.739970	+	0.217275i
$635$	3.07902	−	6.74211i	0.122187	−	0.267552i
$636$	59.2937	+	38.1057i	2.35115	+	1.51099i
$637$	0.258245	−	0.0758275i	0.0102320	−	0.00300440i
$638$	−2.98424	+	20.7558i	−0.118147	+	0.821732i
$639$	−1.00624	−	2.20336i	−0.0398062	−	0.0871635i
$640$	2.41205	+	16.7762i	0.0953445	+	0.663136i
$641$	7.57605	−	4.86883i	0.299236	−	0.192307i	−0.382404	−	0.923995i	$-0.624904\pi$
$641$	7.57605	−	4.86883i	0.299236	−	0.192307i	0.681640	+	0.731688i	$0.261267\pi$
$642$	−7.21146	+	8.32247i	−0.284614	+	0.328462i
$643$	22.9522			0.905146			0.452573	−	0.891727i	$-0.350506\pi$
$643$	22.9522			0.905146			0.452573	+	0.891727i	$0.350506\pi$
$644$		0			0
$645$	13.8391			0.544913
$646$	−17.9733	+	20.7423i	−0.707151	+	0.816096i
$647$	−37.8180	+	24.3041i	−1.48678	+	0.955495i	−0.490308	+	0.871549i	$0.663116\pi$
$647$	−37.8180	+	24.3041i	−1.48678	+	0.955495i	−0.996470	+	0.0839454i	$0.973248\pi$
$648$	2.13370	+	14.8402i	0.0838196	+	0.582978i
$649$	−5.73332	−	12.5542i	−0.225052	−	0.492796i
$650$	0.213875	−	1.48753i	0.00838887	−	0.0583459i
$651$	10.2006	−	2.99516i	0.399792	−	0.117389i
$652$	−35.5321	−	22.8351i	−1.39155	−	0.894292i
$653$	−12.1980	+	26.7099i	−0.477344	+	1.04524i	0.505841	+	0.862627i	$0.331182\pi$
$653$	−12.1980	+	26.7099i	−0.477344	+	1.04524i	−0.983185	+	0.182611i	$0.941545\pi$
$654$	−82.8720	−	24.3334i	−3.24055	−	0.951511i
$655$	10.3392	+	11.9321i	0.403986	+	0.466224i
$656$	0.434459	+	0.501393i	0.0169628	+	0.0195761i
$657$	20.5092	+	6.02203i	0.800138	+	0.234942i
$658$	−5.62226	+	12.3110i	−0.219178	+	0.479934i
$659$	33.7794	+	21.7087i	1.31586	+	0.845652i	0.994844	−	0.101421i	$-0.0323390\pi$
$659$	33.7794	+	21.7087i	1.31586	+	0.845652i	0.321017	+	0.947073i	$0.395975\pi$
$660$	16.2809	−	4.78050i	0.633733	−	0.186081i
$661$	1.41839	−	9.86515i	0.0551692	−	0.383710i	−0.943465	−	0.331471i	$-0.892455\pi$
$661$	1.41839	−	9.86515i	0.0551692	−	0.383710i	0.998635	−	0.0522391i	$-0.0166358\pi$
$662$	27.6341	+	60.5102i	1.07403	+	2.35180i
$663$	0.109624	+	0.762448i	0.00425742	+	0.0296110i
$664$	20.4522	−	13.1439i	0.793701	−	0.510081i
$665$	−15.3405	+	17.7039i	−0.594879	+	0.686527i
$666$	−28.3829			−1.09981
$667$		0			0
$668$	3.79764			0.146935
$669$	−6.91862	+	7.98451i	−0.267489	+	0.308699i
$670$	−16.6562	+	10.7043i	−0.643483	+	0.413542i
$671$	2.02149	+	14.0598i	0.0780388	+	0.542772i
$672$	17.8373	+	39.0583i	0.688089	+	1.50670i
$673$	4.84678	−	33.7101i	0.186830	−	1.29943i	−0.653323	−	0.757079i	$-0.726626\pi$
$673$	4.84678	−	33.7101i	0.186830	−	1.29943i	0.840153	−	0.542349i	$-0.182465\pi$
$674$	−10.4782	+	3.07669i	−0.403607	+	0.118510i
$675$	2.32552	+	1.49452i	0.0895091	+	0.0575240i
$676$	−15.3773	+	33.6716i	−0.591435	+	1.29506i
$677$	−23.9788	−	7.04081i	−0.921580	−	0.270600i	−0.213672	−	0.976905i	$-0.568542\pi$
$677$	−23.9788	−	7.04081i	−0.921580	−	0.270600i	−0.707907	+	0.706305i	$0.750361\pi$
$678$	5.39772	+	6.22930i	0.207298	+	0.239235i
$679$	6.71847	+	7.75352i	0.257831	+	0.297553i
$680$	−3.49057	−	1.02492i	−0.133857	−	0.0393041i
$681$	19.2432	−	42.1366i	0.737399	−	1.61468i
$682$	6.31813	+	4.06041i	0.241934	+	0.155481i
$683$	−33.0796	+	9.71306i	−1.26576	+	0.371660i	−0.844634	−	0.535344i	$-0.820182\pi$
$683$	−33.0796	+	9.71306i	−1.26576	+	0.371660i	−0.421123	+	0.907004i	$0.638364\pi$
$684$	−10.7639	+	74.8645i	−0.411568	+	2.86252i
$685$	−0.358303	−	0.784574i	−0.0136901	−	0.0299770i
$686$	6.22822	+	43.3182i	0.237795	+	1.65390i
$687$	23.0986	−	14.8446i	0.881267	−	0.566356i
$688$	−4.53632	+	5.23519i	−0.172945	+	0.199590i
$689$	−1.92925			−0.0734987
$690$		0			0
$691$	−21.2259			−0.807470			−0.403735	−	0.914876i	$-0.632288\pi$
$691$	−21.2259			−0.807470			−0.403735	+	0.914876i	$0.632288\pi$
$692$	31.6743	−	36.5541i	1.20408	−	1.38958i
$693$	12.6580	−	8.13481i	0.480838	−	0.309016i
$694$	2.12217	+	14.7600i	0.0805563	+	0.560282i
$695$	7.16848	+	15.6968i	0.271916	+	0.595413i
$696$	3.35789	−	23.3546i	0.127280	−	0.885254i
$697$	−0.638344	+	0.187435i	−0.0241790	+	0.00709960i
$698$	18.7083	+	12.0231i	0.708118	+	0.455080i
$699$	−4.34841	+	9.52168i	−0.164472	+	0.360143i
$700$	22.5692	+	6.62692i	0.853036	+	0.250474i
$701$	−15.7993	−	18.2333i	−0.596730	−	0.688663i	0.374386	−	0.927273i	$-0.377854\pi$
$701$	−15.7993	−	18.2333i	−0.596730	−	0.688663i	−0.971115	+	0.238610i	$0.923308\pi$
$702$	0.225794	+	0.260580i	0.00852204	+	0.00983496i
$703$	29.7495	+	8.73524i	1.12202	+	0.329456i
$704$	−10.1302	+	22.1821i	−0.381797	+	0.836020i
$705$	6.76704	+	4.34891i	0.254861	+	0.163789i
$706$	−51.7367	+	15.1913i	−1.94714	+	0.571731i
$707$	0.614676	−	4.27517i	0.0231173	−	0.160784i
$708$	21.5254	+	47.1340i	0.808973	+	1.77140i
$709$	1.00146	+	6.96530i	0.0376106	+	0.261587i	0.999947	−	0.0102732i	$-0.00327012\pi$
$709$	1.00146	+	6.96530i	0.0376106	+	0.261587i	−0.962337	+	0.271861i	$0.912361\pi$
$710$	−1.67394	+	1.07578i	−0.0628220	+	0.0403733i
$711$	−12.3333	+	14.2334i	−0.462534	+	0.533792i
$712$	26.2175			0.982544
$713$		0			0
$714$	−20.4995			−0.767175
$715$	−0.304153	+	0.351012i	−0.0113747	+	0.0131271i
$716$	−3.43890	+	2.21004i	−0.128518	+	0.0825932i
$717$	−8.05405	−	56.0171i	−0.300784	−	2.09200i
$718$	−0.383388	−	0.839502i	−0.0143079	−	0.0313299i
$719$	−3.78106	+	26.2978i	−0.141010	+	0.980743i	0.789310	+	0.613994i	$0.210438\pi$
$719$	−3.78106	+	26.2978i	−0.141010	+	0.980743i	−0.930320	+	0.366749i	$0.880471\pi$
$720$	6.12127	−	1.79737i	0.228126	−	0.0669839i
$721$	30.5670	+	19.6442i	1.13837	+	0.731588i
$722$	40.9662	−	89.7036i	1.52461	−	3.33842i
$723$	−14.2983	−	4.19835i	−0.531759	−	0.156138i
$724$	−30.1694	−	34.8173i	−1.12124	−	1.29398i
$725$	11.3139	+	13.0570i	0.420189	+	0.484924i
$726$	−39.0312	−	11.4606i	−1.44858	−	0.425342i
$727$	2.17161	−	4.75515i	0.0805404	−	0.176359i	−0.865078	−	0.501638i	$-0.832731\pi$
$727$	2.17161	−	4.75515i	0.0805404	−	0.176359i	0.945618	+	0.325279i	$0.105458\pi$
$728$	0.739707	+	0.475381i	0.0274154	+	0.0176188i
$729$	31.0593	−	9.11983i	1.15034	−	0.337771i
$730$	2.49891	−	17.3803i	0.0924889	−	0.643275i
$731$	−2.88569	−	6.31878i	−0.106731	−	0.233709i
$732$	−7.58955	−	52.7865i	−0.280518	−	1.95105i
$733$	22.4521	−	14.4291i	0.829288	−	0.532951i	−0.0557637	−	0.998444i	$-0.517759\pi$
$733$	22.4521	−	14.4291i	0.829288	−	0.532951i	0.885052	+	0.465493i	$0.154123\pi$
$734$	41.2257	−	47.5770i	1.52167	−	1.75610i
$735$	4.25719			0.157029
$736$		0			0
$737$	−13.8924			−0.511734
$738$	−2.04140	+	2.35590i	−0.0751448	+	0.0867217i
$739$	−1.88403	+	1.21079i	−0.0693051	+	0.0445397i	−0.574835	−	0.818270i	$-0.694934\pi$
$739$	−1.88403	+	1.21079i	−0.0693051	+	0.0445397i	0.505529	+	0.862809i	$0.331297\pi$
$740$	1.95153	+	13.5732i	0.0717398	+	0.498961i
$741$	−1.63788	−	3.58646i	−0.0601691	−	0.131752i
$742$	7.30683	−	50.8201i	0.268242	−	1.86567i
$743$	17.4053	−	5.11067i	0.638540	−	0.187492i	0.0535916	−	0.998563i	$-0.482933\pi$
$743$	17.4053	−	5.11067i	0.638540	−	0.187492i	0.584948	+	0.811071i	$0.301115\pi$
$744$	−7.10920	−	4.56881i	−0.260636	−	0.167501i
$745$	8.54667	−	18.7146i	0.313126	−	0.685650i
$746$	30.4631	+	8.94478i	1.11533	+	0.327492i
$747$	−27.9976	−	32.3109i	−1.02438	−	1.18220i
$748$	−5.57758	−	6.43687i	−0.203937	−	0.235355i
$749$	4.52677	+	1.32918i	0.165405	+	0.0485671i
$750$	24.0988	−	52.7691i	0.879966	−	1.92686i
$751$	−23.7458	−	15.2605i	−0.866497	−	0.556864i	0.0301825	−	0.999544i	$-0.490391\pi$
$751$	−23.7458	−	15.2605i	−0.866497	−	0.556864i	−0.896679	+	0.442681i	$0.854028\pi$
$752$	−3.86333	+	1.13437i	−0.140881	+	0.0413664i
$753$	0.554631	−	3.85754i	0.0202119	−	0.140577i
$754$	0.895195	+	1.96020i	0.0326011	+	0.0713864i
$755$	−2.32103	−	16.1431i	−0.0844709	−	0.587508i
$756$	−4.53999	+	2.91767i	−0.165118	+	0.106115i
$757$	0.0799019	−	0.0922117i	0.00290408	−	0.00335149i	−0.754296	−	0.656535i	$-0.772021\pi$
$757$	0.0799019	−	0.0922117i	0.00290408	−	0.00335149i	0.757200	+	0.653183i	$0.226567\pi$
$758$	12.4000			0.450389
$759$		0			0
$760$	18.6210			0.675453
$761$	17.4883	−	20.1826i	0.633951	−	0.731618i	−0.344342	−	0.938844i	$-0.611898\pi$
$761$	17.4883	−	20.1826i	0.633951	−	0.731618i	0.978293	+	0.207226i	$0.0664435\pi$
$762$	−27.9291	+	17.9489i	−1.01176	+	0.650221i
$763$	5.26609	+	36.6264i	0.190645	+	1.32597i
$764$	24.6111	+	53.8908i	0.890399	+	1.94970i
$765$	−0.910464	+	6.33242i	−0.0329179	+	0.228949i
$766$	0.489811	−	0.143822i	0.0176976	−	0.00519648i
$767$	−1.19317	−	0.766804i	−0.0430829	−	0.0276877i
$768$	4.90212	−	10.7342i	0.176890	−	0.387335i
$769$	−7.53302	−	2.21189i	−0.271648	−	0.0797629i	0.143072	−	0.989712i	$-0.454302\pi$
$769$	−7.53302	−	2.21189i	−0.271648	−	0.0797629i	−0.414719	+	0.909949i	$0.636120\pi$
$770$	−8.09436	−	9.34139i	−0.291700	−	0.336640i
$771$	45.1925	+	52.1550i	1.62757	+	1.87832i
$772$	−40.1507	−	11.7893i	−1.44505	−	0.424306i
$773$	14.2411	−	31.1837i	0.512218	−	1.12160i	−0.460085	−	0.887875i	$-0.652181\pi$
$773$	14.2411	−	31.1837i	0.512218	−	1.12160i	0.972303	−	0.233725i	$-0.0750916\pi$
$774$	−27.3816	−	17.5971i	−0.984213	−	0.632515i
$775$	5.93724	−	1.74333i	0.213272	−	0.0626223i
$776$	1.16060	−	8.07215i	0.0416631	−	0.289773i
$777$	9.62020	+	21.0653i	0.345123	+	0.755713i
$778$	−9.46147	−	65.8060i	−0.339210	−	2.35926i
$779$	2.86475	−	1.84106i	0.102640	−	0.0659630i
$780$	1.14192	−	1.31785i	0.0408874	−	0.0471866i
$781$	−1.39619			−0.0499596
$782$		0			0
$783$	−3.96386			−0.141657
$784$	−1.39547	+	1.61045i	−0.0498381	+	0.0575162i
$785$	−4.29462	+	2.75998i	−0.153281	+	0.0985080i
$786$	−10.0644	−	69.9994i	−0.358985	−	2.49680i
$787$	−6.65184	−	14.5655i	−0.237113	−	0.519204i	0.753245	−	0.657740i	$-0.228488\pi$
$787$	−6.65184	−	14.5655i	−0.237113	−	0.519204i	−0.990357	+	0.138536i	$0.955760\pi$
$788$	−4.74637	+	33.0117i	−0.169082	+	1.17599i
$789$	31.2069	−	9.16316i	1.11099	−	0.326217i
$790$	13.0152	+	8.36437i	0.463060	+	0.297591i
$791$	1.46695	−	3.21217i	0.0521587	−	0.114212i
$792$	−11.4760	−	3.36967i	−0.407783	−	0.119736i
$793$	0.955922	+	1.10319i	0.0339458	+	0.0391755i
$794$	18.8251	+	21.7254i	0.668079	+	0.771004i
$795$	−29.2795	−	8.59724i	−1.03844	−	0.304913i
$796$	6.79021	−	14.8685i	0.240673	−	0.527000i
$797$	−18.1069	−	11.6366i	−0.641380	−	0.412190i	0.179128	−	0.983826i	$-0.442672\pi$
$797$	−18.1069	−	11.6366i	−0.641380	−	0.412190i	−0.820507	+	0.571636i	$0.806309\pi$
$798$	100.677	−	29.5616i	3.56394	−	1.04647i
$799$	0.574623	−	3.99659i	0.0203287	−	0.141389i
$800$	10.3822	+	22.7339i	0.367066	+	0.803763i
$801$	−6.56145	−	45.6359i	−0.231837	−	1.61246i
$802$	39.5337	−	25.4067i	1.39598	−	0.897143i
$803$	8.06826	−	9.31127i	0.284723	−	0.328587i
$804$	52.1582			1.83948
$805$		0			0
$806$	0.771816			0.0271860
$807$	−16.4550	+	18.9901i	−0.579244	+	0.668483i
$808$	−2.88825	+	1.85616i	−0.101608	+	0.0652996i
$809$	−3.43336	−	23.8796i	−0.120711	−	0.839561i	−0.956754	−	0.290898i	$-0.906046\pi$
$809$	−3.43336	−	23.8796i	−0.120711	−	0.839561i	0.836044	−	0.548663i	$-0.184863\pi$
$810$	−8.99741	−	19.7016i	−0.316137	−	0.692243i
$811$	−2.04055	+	14.1923i	−0.0716535	+	0.498361i	0.922117	+	0.386912i	$0.126458\pi$
$811$	−2.04055	+	14.1923i	−0.0716535	+	0.498361i	−0.993770	+	0.111449i	$0.964451\pi$
$812$	−32.3625	+	9.50248i	−1.13570	+	0.333472i
$813$	−9.32724	−	5.99426i	−0.327121	−	0.210228i
$814$	−6.79615	+	14.8815i	−0.238205	+	0.521596i
$815$	17.5459	+	5.15195i	0.614607	+	0.180465i
$816$	−3.99377	−	4.60906i	−0.139810	−	0.161349i
$817$	23.2843	+	26.8715i	0.814615	+	0.940116i
$818$	19.3443	+	5.67999i	0.676357	+	0.198596i
$819$	0.642352	−	1.40655i	0.0224456	−	0.0491490i
$820$	1.26699	+	0.814248i	0.0442454	+	0.0284348i
$821$	−13.6329	+	4.00299i	−0.475792	+	0.139705i	−0.510832	−	0.859681i	$-0.670662\pi$
$821$	−13.6329	+	4.00299i	−0.475792	+	0.139705i	0.0350395	+	0.999386i	$0.488844\pi$
$822$	−0.549817	+	3.82406i	−0.0191771	+	0.133379i
$823$	6.65624	+	14.5751i	0.232022	+	0.508057i	0.989452	−	0.144859i	$-0.0462728\pi$
$823$	6.65624	+	14.5751i	0.232022	+	0.508057i	−0.757430	+	0.652916i	$0.773546\pi$
$824$	−4.11043	−	28.5886i	−0.143194	−	0.995933i
$825$	14.0314	−	9.01741i	0.488509	−	0.313946i
$826$	24.7181	−	28.5262i	0.860052	−	0.992552i
$827$	−35.1240			−1.22138			−0.610690	−	0.791870i	$-0.709108\pi$
$827$	−35.1240			−1.22138			−0.610690	+	0.791870i	$0.709108\pi$
$828$		0			0
$829$	−2.29604			−0.0797447			−0.0398723	−	0.999205i	$-0.512695\pi$
$829$	−2.29604			−0.0797447			−0.0398723	+	0.999205i	$0.512695\pi$
$830$	−22.9994	+	26.5427i	−0.798319	+	0.921309i
$831$	65.1310	−	41.8572i	2.25937	−	1.45201i
$832$	0.356648	+	2.48054i	0.0123645	+	0.0859972i
$833$	−0.887699	−	1.94379i	−0.0307569	−	0.0673483i
$834$	11.0001	−	76.5071i	0.380901	−	2.64922i
$835$	−1.57760	+	0.463225i	−0.0545950	+	0.0160306i
$836$	36.6751	+	23.5696i	1.26843	+	0.815173i
$837$	−0.589764	+	1.29140i	−0.0203852	+	0.0446374i
$838$	−18.9746	−	5.57145i	−0.655468	−	0.192463i
$839$	25.2853	+	29.1808i	0.872944	+	1.00743i	0.999880	+	0.0155205i	$0.00494052\pi$
$839$	25.2853	+	29.1808i	0.872944	+	1.00743i	−0.126935	+	0.991911i	$0.540514\pi$
$840$	9.10783	+	10.5110i	0.314250	+	0.362664i
$841$	4.05514	+	1.19070i	0.139832	+	0.0410585i
$842$	−28.8102	+	63.0855i	−0.992865	+	2.17407i
$843$	−7.56792	−	4.86361i	−0.260653	−	0.167512i
$844$	38.5489	−	11.3190i	1.32691	−	0.389616i
$845$	2.28081	−	15.8634i	0.0784622	−	0.545716i
$846$	−7.85923	−	17.2093i	−0.270206	−	0.591668i
$847$	2.48023	+	17.2504i	0.0852217	+	0.592730i
$848$	12.8498	−	8.25807i	0.441264	−	0.283583i
$849$	−24.3269	+	28.0747i	−0.834896	+	0.963521i
$850$	−11.9317			−0.409255
$851$		0			0
$852$	5.24190			0.179584
$853$	25.1659	−	29.0430i	0.861664	−	0.994413i	−0.138328	−	0.990386i	$-0.544173\pi$
$853$	25.1659	−	29.0430i	0.861664	−	0.994413i	0.999992	−	0.00402649i	$-0.00128168\pi$
$854$	−32.6806	+	21.0026i	−1.11831	+	0.718693i
$855$	−4.66026	−	32.4128i	−0.159377	−	1.10849i
$856$	−1.55790	−	3.41133i	−0.0532480	−	0.116597i
$857$	7.24233	−	50.3715i	0.247393	−	1.72066i	−0.365774	−	0.930704i	$-0.619196\pi$
$857$	7.24233	−	50.3715i	0.247393	−	1.72066i	0.613167	−	0.789953i	$-0.289895\pi$
$858$	1.99611	−	0.586112i	0.0681462	−	0.0200095i
$859$	7.69504	+	4.94530i	0.262551	+	0.168731i	0.665293	−	0.746582i	$-0.268306\pi$
$859$	7.69504	+	4.94530i	0.262551	+	0.168731i	−0.402742	+	0.915313i	$0.631943\pi$
$860$	−6.53258	+	14.3043i	−0.222759	+	0.487774i
$861$	2.44043	+	0.716574i	0.0831695	+	0.0244208i
$862$	−31.8951	−	36.8089i	−1.08635	−	1.25372i
$863$	−8.08023	−	9.32508i	−0.275054	−	0.317430i	0.601369	−	0.798972i	$-0.294622\pi$
$863$	−8.08023	−	9.32508i	−0.275054	−	0.317430i	−0.876423	+	0.481542i	$0.840077\pi$
$864$	−5.50177	−	1.61547i	−0.187174	−	0.0549592i
$865$	−8.69923	+	19.0487i	−0.295783	+	0.647674i
$866$	−23.5344	−	15.1247i	−0.799733	−	0.513957i
$867$	−35.1280	+	10.3145i	−1.19301	+	0.350299i
$868$	−1.71921	+	11.9573i	−0.0583537	+	0.405859i
$869$	4.50958	+	9.87461i	0.152977	+	0.334973i
$870$	4.85086	+	33.7385i	0.164460	+	1.14384i
$871$	−1.20104	+	0.771860i	−0.0406956	+	0.0261535i
$872$	19.2619	−	22.2294i	0.652289	−	0.752781i
$873$	−14.3414			−0.485381
$874$		0			0
$875$	−24.8534			−0.840199
$876$	−30.2918	+	34.9585i	−1.02346	+	1.18114i
$877$	1.94094	−	1.24737i	0.0655409	−	0.0421205i	−0.507460	−	0.861675i	$-0.669416\pi$
$877$	1.94094	−	1.24737i	0.0655409	−	0.0421205i	0.573001	+	0.819555i	$0.305779\pi$
$878$	−5.77696	−	40.1796i	−0.194963	−	1.35600i
$879$	22.4617	+	49.1843i	0.757615	+	1.65895i
$880$	0.523329	−	3.63983i	0.0176414	−	0.122699i
$881$	−34.1583	+	10.0298i	−1.15082	+	0.337912i	−0.800860	−	0.598852i	$-0.795624\pi$
$881$	−34.1583	+	10.0298i	−1.15082	+	0.337912i	−0.349962	+	0.936764i	$0.613806\pi$
$882$	−8.42317	−	5.41324i	−0.283623	−	0.182273i
$883$	12.6596	−	27.7206i	0.426029	−	0.932873i	−0.567926	−	0.823080i	$-0.692254\pi$
$883$	12.6596	−	27.7206i	0.426029	−	0.932873i	0.993954	−	0.109793i	$-0.0350188\pi$
$884$	−0.839829	−	0.246596i	−0.0282465	−	0.00829392i
$885$	−14.6912	−	16.9546i	−0.493840	−	0.569921i
$886$	20.0770	+	23.1701i	0.674500	+	0.778414i
$887$	−19.9490	−	5.85755i	−0.669821	−	0.196677i	−0.0708976	−	0.997484i	$-0.522586\pi$
$887$	−19.9490	−	5.85755i	−0.669821	−	0.196677i	−0.598923	+	0.800806i	$0.704405\pi$
$888$	7.64708	−	16.7448i	0.256619	−	0.561917i
$889$	11.9654	+	7.68972i	0.401308	+	0.257905i
$890$	−36.3401	+	10.6704i	−1.21812	+	0.357673i
$891$	2.16280	−	15.0426i	0.0724564	−	0.503945i
$892$	−4.98710	−	10.9202i	−0.166981	−	0.365636i
$893$	2.94124	+	20.4567i	0.0984247	+	0.684559i
$894$	−77.5250	+	49.8223i	−2.59282	+	1.66631i
$895$	1.15899	−	1.33755i	0.0387409	−	0.0447094i
$896$	−32.5243			−1.08656
$897$		0			0
$898$	66.3122			2.21287
$899$	−5.81055	+	6.70573i	−0.193793	+	0.223649i
$900$	−27.6612	+	17.7767i	−0.922039	+	0.592558i
$901$	2.17988	+	15.1614i	0.0726224	+	0.505100i
$902$	0.746424	+	1.63444i	0.0248532	+	0.0544209i
$903$	−3.77945	+	26.2867i	−0.125772	+	0.874765i
$904$	−2.69331	+	0.790827i	−0.0895781	+	0.0263025i
$905$	16.7797	+	10.7837i	0.557777	+	0.358461i
$906$	−30.3468	+	66.4502i	−1.00820	+	2.20766i
$907$	−21.7918	−	6.39866i	−0.723586	−	0.212464i	−0.100856	−	0.994901i	$-0.532158\pi$
$907$	−21.7918	−	6.39866i	−0.723586	−	0.212464i	−0.622730	+	0.782437i	$0.713976\pi$
$908$	34.4698	+	39.7803i	1.14392	+	1.32015i
$909$	3.95379	+	4.56292i	0.131139	+	0.151343i
$910$	−1.21879	−	0.357868i	−0.0404024	−	0.0118632i
$911$	−0.346474	+	0.758673i	−0.0114792	+	0.0251359i	−0.915285	−	0.402807i	$-0.868034\pi$
$911$	−0.346474	+	0.758673i	−0.0114792	+	0.0251359i	0.903806	+	0.427943i	$0.140762\pi$
$912$	26.2608	+	16.8768i	0.869582	+	0.558847i
$913$	−23.6449	+	6.94278i	−0.782534	+	0.229773i
$914$	11.9320	−	82.9888i	0.394675	−	2.74502i
$915$	9.59155	+	21.0026i	0.317087	+	0.694323i
$916$	4.44022	+	30.8824i	0.146709	+	1.02038i
$917$	−25.4880	+	16.3802i	−0.841689	+	0.540921i
$918$	1.79269	−	2.06888i	0.0591677	−	0.0682831i
$919$	45.3320			1.49537			0.747683	−	0.664056i	$-0.231166\pi$
$919$	45.3320			1.49537			0.747683	+	0.664056i	$0.231166\pi$
$920$		0			0
$921$	−35.5510			−1.17145
$922$	−12.6414	+	14.5890i	−0.416324	+	0.480463i
$923$	−0.120704	+	0.0775720i	−0.00397303	+	0.00255331i
$924$	4.63402	+	32.2303i	0.152448	+	1.06030i
$925$	5.59944	+	12.2611i	0.184108	+	0.403141i
$926$	8.72979	−	60.7170i	0.286879	−	1.99529i
$927$	−48.7345	+	14.3097i	−1.60065	+	0.469993i
$928$	−30.1481	−	19.3750i	−0.989660	−	0.636016i
$929$	−7.35584	+	16.1070i	−0.241337	+	0.528455i	−0.991079	−	0.133276i	$-0.957450\pi$
$929$	−7.35584	+	16.1070i	−0.241337	+	0.528455i	0.749742	+	0.661731i	$0.230178\pi$
$930$	11.7135	+	3.43941i	0.384102	+	0.112783i
$931$	7.16275	+	8.26625i	0.234750	+	0.270915i
$932$	−7.78919	−	8.98921i	−0.255143	−	0.294451i
$933$	1.37491	+	0.403709i	0.0450125	+	0.0132169i
$934$	15.8974	−	34.8105i	0.520179	−	1.13903i
$935$	3.10216	+	1.99364i	0.101452	+	0.0651989i
$936$	−1.17935	+	0.346289i	−0.0385484	+	0.0113188i
$937$	−3.31964	+	23.0886i	−0.108448	+	0.754272i	0.860935	+	0.508716i	$0.169880\pi$
$937$	−3.31964	+	23.0886i	−0.108448	+	0.754272i	−0.969382	+	0.245556i	$0.921029\pi$
$938$	−15.7834	−	34.5609i	−0.515348	−	1.12845i
$939$	7.55887	+	52.5731i	0.246674	+	1.71566i
$940$	−7.68943	+	4.94170i	−0.250802	+	0.161180i
$941$	7.60605	−	8.77785i	0.247950	−	0.286150i	−0.618108	−	0.786093i	$-0.712100\pi$
$941$	7.60605	−	8.77785i	0.247950	−	0.286150i	0.866058	+	0.499944i	$0.166646\pi$
$942$	22.8664			0.745027
$943$		0			0
$944$	11.2294			0.365486
$945$	1.53009	−	1.76582i	0.0497738	−	0.0574421i
$946$	−15.7828	+	10.1430i	−0.513144	+	0.329777i
$947$	−0.853596	−	5.93689i	−0.0277381	−	0.192923i	0.971241	−	0.238099i	$-0.0765242\pi$
$947$	−0.853596	−	5.93689i	−0.0277381	−	0.192923i	−0.998979	+	0.0451760i	$0.985615\pi$
$948$	−16.9309	−	37.0736i	−0.549891	−	1.20409i
$949$	0.180191	−	1.25326i	0.00584925	−	0.0406824i
$950$	58.5993	−	17.2063i	1.90121	−	0.558247i
$951$	18.6320	+	11.9740i	0.604183	+	0.388285i
$952$	2.90007	−	6.35027i	0.0939919	−	0.205814i
$953$	−17.1813	−	5.04489i	−0.556558	−	0.163420i	−0.00865552	−	0.999963i	$-0.502755\pi$
$953$	−17.1813	−	5.04489i	−0.556558	−	0.163420i	−0.547902	+	0.836542i	$0.684573\pi$
$954$	46.9999	+	54.2408i	1.52168	+	1.75611i
$955$	−16.7973	−	19.3851i	−0.543547	−	0.627286i
$956$	61.7023	+	18.1174i	1.99560	+	0.585960i
$957$	−9.93529	+	21.7553i	−0.321162	+	0.703247i
$958$	47.2307	+	30.3533i	1.52595	+	0.980671i
$959$	1.58811	−	0.466312i	0.0512829	−	0.0150580i
$960$	−5.64121	+	39.2355i	−0.182069	+	1.26632i
$961$	−11.5577	−	25.3078i	−0.372829	−	0.816382i
$962$	0.239267	+	1.66414i	0.00771428	+	0.0536540i
$963$	−5.54808	+	3.56553i	−0.178784	+	0.114898i
$964$	11.0889	−	12.7972i	0.357148	−	0.412171i
$965$	18.1172			0.583213
$966$		0			0
$967$	33.5068			1.07751			0.538753	−	0.842464i	$-0.318896\pi$
$967$	33.5068			1.07751			0.538753	+	0.842464i	$0.318896\pi$
$968$	9.07198	−	10.4696i	0.291584	−	0.336506i
$969$	−26.3343	+	16.9240i	−0.845979	+	0.543678i
$970$	1.67662	+	11.6612i	0.0538331	+	0.374418i
$971$	−24.6283	−	53.9284i	−0.790360	−	1.73065i	−0.675620	−	0.737250i	$-0.736124\pi$
$971$	−24.6283	−	53.9284i	−0.790360	−	1.73065i	−0.114740	−	0.993396i	$-0.536603\pi$
$972$	−9.09112	+	63.2302i	−0.291598	+	2.02811i
$973$	−31.7730	+	9.32940i	−1.01860	+	0.299087i
$974$	−11.4214	−	7.34008i	−0.365965	−	0.235191i
$975$	0.712044	−	1.55916i	0.0228037	−	0.0499331i
$976$	−11.0891	−	3.25605i	−0.354953	−	0.104224i
$977$	−8.27873	−	9.55416i	−0.264860	−	0.305665i	0.607705	−	0.794163i	$-0.292090\pi$
$977$	−8.27873	−	9.55416i	−0.264860	−	0.305665i	−0.872565	+	0.488498i	$0.837545\pi$
$978$	−53.6393	−	61.9031i	−1.71520	−	1.97944i
$979$	−25.4986	−	7.48706i	−0.814938	−	0.239288i
$980$	−2.00956	+	4.40032i	−0.0641930	+	0.140563i
$981$	−43.5145	−	27.9651i	−1.38931	−	0.892856i
$982$	69.0286	−	20.2686i	2.20279	−	0.646798i
$983$	−8.30621	+	57.7710i	−0.264927	+	1.84261i	0.229401	+	0.973332i	$0.426323\pi$
$983$	−8.30621	+	57.7710i	−0.264927	+	1.84261i	−0.494328	+	0.869275i	$0.664586\pi$
$984$	−0.839881	−	1.83908i	−0.0267744	−	0.0586278i
$985$	−2.05495	−	14.2925i	−0.0654762	−	0.455397i
$986$	14.3932	−	9.24992i	0.458372	−	0.294578i
$987$	−10.1086	+	11.6660i	−0.321761	+	0.371332i
$988$	4.48019			0.142534
$989$		0			0
$990$	17.2784			0.549142
$991$	29.9868	−	34.6066i	0.952561	−	1.09931i	−0.0424048	−	0.999101i	$-0.513502\pi$
$991$	29.9868	−	34.6066i	0.952561	−	1.09931i	0.994966	−	0.100214i	$-0.0319526\pi$
$992$	−10.7979	+	6.93937i	−0.342833	+	0.220325i
$993$	10.7976	+	75.0991i	0.342652	+	2.38320i
$994$	−1.58624	−	3.47337i	−0.0503124	−	0.110169i
$995$	−1.00714	+	7.00484i	−0.0319286	+	0.222068i
$996$	88.7734	−	26.0662i	2.81289	−	0.825940i
$997$	−33.1051	−	21.2753i	−1.04845	−	0.673797i	−0.101386	−	0.994847i	$-0.532328\pi$
$997$	−33.1051	−	21.2753i	−1.04845	−	0.673797i	−0.947062	+	0.321050i	$0.895964\pi$
$998$	−7.84848	+	17.1858i	−0.248439	+	0.544006i
$999$	−2.96727	−	0.871269i	−0.0938803	−	0.0275657i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.e.177.1		10
23.2	even	11		529.2.c.c.501.1		10
23.3	even	11		529.2.c.f.466.1		10
23.4	even	11		529.2.c.a.118.1		10
23.5	odd	22		529.2.c.b.170.1		10
23.6	even	11		529.2.a.j.1.5		5
23.7	odd	22		529.2.c.i.255.1		10
23.8	even	11		529.2.c.h.334.1		10
23.9	even	11		529.2.c.a.399.1		10
23.10	odd	22		529.2.c.d.266.1		10
23.11	odd	22		529.2.c.g.487.1		10
23.12	even	11		529.2.c.f.487.1		10
23.13	even	11	inner	529.2.c.e.266.1		10
23.14	odd	22		23.2.c.a.8.1	yes	10
23.15	odd	22		529.2.c.i.334.1		10
23.16	even	11		529.2.c.h.255.1		10
23.17	odd	22		529.2.a.i.1.5		5
23.18	even	11		529.2.c.c.170.1		10
23.19	odd	22		23.2.c.a.3.1	✓	10
23.20	odd	22		529.2.c.g.466.1		10
23.21	odd	22		529.2.c.b.501.1		10
23.22	odd	2		529.2.c.d.177.1		10
69.14	even	22		207.2.i.c.100.1		10
69.17	even	22		4761.2.a.bo.1.1		5
69.29	odd	22		4761.2.a.bn.1.1		5
69.65	even	22		207.2.i.c.118.1		10
92.19	even	22		368.2.m.c.49.1		10
92.63	even	22		8464.2.a.bs.1.5		5
92.75	odd	22		8464.2.a.bt.1.5		5
92.83	even	22		368.2.m.c.353.1		10
115.14	odd	22		575.2.k.b.376.1		10
115.19	odd	22		575.2.k.b.26.1		10
115.37	even	44		575.2.p.b.399.1		20
115.42	even	44		575.2.p.b.49.2		20
115.83	even	44		575.2.p.b.399.2		20
115.88	even	44		575.2.p.b.49.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.3.1	✓	10	23.19	odd	22
23.2.c.a.8.1	yes	10	23.14	odd	22
207.2.i.c.100.1		10	69.14	even	22
207.2.i.c.118.1		10	69.65	even	22
368.2.m.c.49.1		10	92.19	even	22
368.2.m.c.353.1		10	92.83	even	22
529.2.a.i.1.5		5	23.17	odd	22
529.2.a.j.1.5		5	23.6	even	11
529.2.c.a.118.1		10	23.4	even	11
529.2.c.a.399.1		10	23.9	even	11
529.2.c.b.170.1		10	23.5	odd	22
529.2.c.b.501.1		10	23.21	odd	22
529.2.c.c.170.1		10	23.18	even	11
529.2.c.c.501.1		10	23.2	even	11
529.2.c.d.177.1		10	23.22	odd	2
529.2.c.d.266.1		10	23.10	odd	22
529.2.c.e.177.1		10	1.1	even	1	trivial
529.2.c.e.266.1		10	23.13	even	11	inner
529.2.c.f.466.1		10	23.3	even	11
529.2.c.f.487.1		10	23.12	even	11
529.2.c.g.466.1		10	23.20	odd	22
529.2.c.g.487.1		10	23.11	odd	22
529.2.c.h.255.1		10	23.16	even	11
529.2.c.h.334.1		10	23.8	even	11
529.2.c.i.255.1		10	23.7	odd	22
529.2.c.i.334.1		10	23.15	odd	22
575.2.k.b.26.1		10	115.19	odd	22
575.2.k.b.376.1		10	115.14	odd	22
575.2.p.b.49.1		20	115.88	even	44
575.2.p.b.49.2		20	115.42	even	44
575.2.p.b.399.1		20	115.37	even	44
575.2.p.b.399.2		20	115.83	even	44
4761.2.a.bn.1.1		5	69.29	odd	22
4761.2.a.bo.1.1		5	69.17	even	22
8464.2.a.bs.1.5		5	92.63	even	22
8464.2.a.bt.1.5		5	92.75	odd	22

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:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(-1.44306 + 1.66538i) q^{2} +(-2.11435 + 1.35881i) q^{3} +(-0.406440 - 2.82685i) q^{4} +(0.513652 + 1.12474i) q^{5} +(0.788201 - 5.48206i) q^{6} +(-2.27667 + 0.668491i) q^{7} +(1.58671 + 1.01971i) q^{8} +(1.37787 - 3.01713i) q^{9} +(-2.61435 - 0.767644i) q^{10} +(-1.25199 - 1.44488i) q^{11} +(4.70052 + 5.42469i) q^{12} +(-0.188515 - 0.0553531i) q^{13} +(2.17208 - 4.75620i) q^{14} +(-2.61435 - 1.68014i) q^{15} +(1.49254 - 0.438250i) q^{16} +(-0.221998 + 1.54403i) q^{17} +(3.03631 + 6.64858i) q^{18} +(-1.13631 - 7.90319i) q^{19} +(2.97071 - 1.90916i) q^{20} +(3.90533 - 4.50700i) q^{21} +4.21297 q^{22} -4.74046 q^{24} +(2.27310 - 2.62330i) q^{25} +(0.364223 - 0.234072i) q^{26} +(0.113337 + 0.788278i) q^{27} +(2.81506 + 6.16411i) q^{28} +(-0.708346 + 4.92665i) q^{29} +(6.57075 - 1.92935i) q^{30} +(1.49969 + 0.963789i) q^{31} +(-2.99103 + 6.54943i) q^{32} +(4.61047 + 1.35376i) q^{33} +(-2.25104 - 2.59784i) q^{34} +(-1.92130 - 2.21729i) q^{35} +(-9.08899 - 2.66877i) q^{36} +(-1.61315 + 3.53231i) q^{37} +(14.8016 + 9.51240i) q^{38} +(0.473802 - 0.139121i) q^{39} +(-0.331900 + 2.30841i) q^{40} +(0.177173 + 0.387954i) q^{41} +(1.87023 + 13.0077i) q^{42} +(-3.74625 + 2.40757i) q^{43} +(-3.57559 + 4.12645i) q^{44} +4.10123 q^{45} -2.58842 q^{47} +(-2.56026 + 2.95470i) q^{48} +(-1.15242 + 0.740618i) q^{49} +(1.08857 + 7.57116i) q^{50} +(-1.62866 - 3.56627i) q^{51} +(-0.0798548 + 0.555402i) q^{52} +(9.42164 - 2.76644i) q^{53} +(-1.47634 - 0.948784i) q^{54} +(0.982022 - 2.15033i) q^{55} +(-4.29408 - 1.26086i) q^{56} +(13.1415 + 15.1661i) q^{57} +(-7.18257 - 8.28913i) q^{58} +(6.92649 + 2.03380i) q^{59} +(-3.68694 + 8.07327i) q^{60} +(-6.25023 - 4.01678i) q^{61} +(-3.76921 + 1.10674i) q^{62} +(-1.12005 + 7.79010i) q^{63} +(-5.29867 - 11.6025i) q^{64} +(-0.0345733 - 0.240463i) q^{65} +(-8.90771 + 5.72464i) q^{66} +(4.75855 - 5.49165i) q^{67} +4.45497 q^{68} +6.46519 q^{70} +(0.478234 - 0.551912i) q^{71} +(5.26289 - 3.38226i) q^{72} +(0.917125 + 6.37875i) q^{73} +(-3.55476 - 7.78385i) q^{74} +(-1.24157 + 8.63530i) q^{75} +(-21.8793 + 6.42434i) q^{76} +(3.81626 + 2.45256i) q^{77} +(-0.452036 + 0.989821i) q^{78} +(-5.44808 - 1.59970i) q^{79} +(1.25957 + 1.45362i) q^{80} +(5.20549 + 6.00746i) q^{81} +(-0.901763 - 0.264782i) q^{82} +(5.35459 - 11.7249i) q^{83} +(-14.3279 - 9.20798i) q^{84} +(-1.85066 + 0.543403i) q^{85} +(1.39655 - 9.71319i) q^{86} +(-5.19671 - 11.3792i) q^{87} +(-0.513183 - 3.56927i) q^{88} +(11.6936 - 7.51503i) q^{89} +(-5.91833 + 6.83012i) q^{90} +0.466190 q^{91} -4.48047 q^{93} +(3.73525 - 4.31070i) q^{94} +(8.30537 - 5.33754i) q^{95} +(-2.57536 - 17.9121i) q^{96} +(-1.79616 - 3.93304i) q^{97} +(0.429607 - 2.98798i) q^{98} +(-6.08446 + 1.78656i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9} - 12 q^{10} - 7 q^{11} - 10 q^{12} + 8 q^{13} + 2 q^{14} - 12 q^{15} + 12 q^{16} - q^{17} - 3 q^{18} - 2 q^{19} - 2 q^{20}+ \cdots - 25 q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9 - 12 * q^10 - 7 * q^11 - 10 * q^12 + 8 * q^13 + 2 * q^14 - 12 * q^15 + 12 * q^16 - q^17 - 3 * q^18 - 2 * q^19 - 2 * q^20 + 24 * q^21 + 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 + 26 * q^28 - 8 * q^29 + 4 * q^30 - 12 * q^31 - 23 * q^32 + 17 * q^33 + 26 * q^34 + 18 * q^35 - 6 * q^36 - 25 * q^37 + 52 * q^38 + 12 * q^39 - 12 * q^40 - 26 * q^41 + 14 * q^42 - 22 * q^43 - 32 * q^44 + 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 - 18 * q^51 + 13 * q^52 + 48 * q^53 - 17 * q^54 + 32 * q^55 + 2 * q^56 + 8 * q^57 - q^58 + q^59 + 8 * q^60 - 36 * q^61 - 18 * q^62 + 21 * q^63 + 13 * q^64 - 13 * q^65 - 2 * q^66 + 10 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 - 32 * q^74 - 6 * q^75 - 50 * q^76 + 13 * q^77 + 7 * q^78 - 18 * q^79 - 14 * q^80 + 11 * q^81 - 6 * q^82 + 15 * q^83 - 16 * q^84 - 19 * q^85 - 22 * q^86 + 10 * q^87 - 16 * q^88 + 19 * q^89 - 24 * q^90 + 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 - 21 * q^97 + 39 * q^98 - 25 * q^99

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