LMFDB - Embedded newform 77.2.f.b.36.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [77,2,Mod(15,77)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(77, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("77.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 77 = 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	77.f (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.614848095564$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 3 x^{15} + 14 x^{14} - 32 x^{13} + 86 x^{12} - 145 x^{11} + 245 x^{10} - 245 x^{9} + 640 x^{8} + \cdots + 25 $ x^16 - 3x^15 + 14x^14 - 32x^13 + 86x^12 - 145x^11 + 245x^10 - 245x^9 + 640x^8 - 1175x^7 + 2135x^6 - 2300x^5 + 1850x^4 - 925x^3 + 700x^2 - 200*x + 25
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 5 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			36.4
Root			$-1.38112 + 1.00344i$ of defining polynomial
Character	$\chi$	$=$	77.36
Dual form			77.2.f.b.15.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.38112 - 1.00344i) q^{2} +(0.708129 + 2.17940i) q^{3} +(0.282562 - 0.869638i) q^{4} +(-3.28976 - 2.39015i) q^{5} +(3.16491 + 2.29944i) q^{6} +(0.309017 - 0.951057i) q^{7} +(0.572703 + 1.76260i) q^{8} +(-1.82128 + 1.32323i) q^{9} +O(q^{10})$	\(q+(1.38112 - 1.00344i) q^{2} +(0.708129 + 2.17940i) q^{3} +(0.282562 - 0.869638i) q^{4} +(-3.28976 - 2.39015i) q^{5} +(3.16491 + 2.29944i) q^{6} +(0.309017 - 0.951057i) q^{7} +(0.572703 + 1.76260i) q^{8} +(-1.82128 + 1.32323i) q^{9} -6.94194 q^{10} +(-0.582050 - 3.26515i) q^{11} +2.09538 q^{12} +(-2.65189 + 1.92671i) q^{13} +(-0.527541 - 1.62360i) q^{14} +(2.87952 - 8.86224i) q^{15} +(4.03916 + 2.93462i) q^{16} +(1.06862 + 0.776394i) q^{17} +(-1.18761 + 3.65509i) q^{18} +(0.668017 + 2.05594i) q^{19} +(-3.00813 + 2.18553i) q^{20} +2.29155 q^{21} +(-4.08027 - 3.92552i) q^{22} -1.86611 q^{23} +(-3.43586 + 2.49630i) q^{24} +(3.56462 + 10.9708i) q^{25} +(-1.72924 + 5.32205i) q^{26} +(1.38817 + 1.00856i) q^{27} +(-0.739758 - 0.537466i) q^{28} +(-0.0754316 + 0.232155i) q^{29} +(-4.91579 - 15.1292i) q^{30} +(5.55785 - 4.03801i) q^{31} +4.81667 q^{32} +(6.70390 - 3.58067i) q^{33} +2.25495 q^{34} +(-3.28976 + 2.39015i) q^{35} +(0.636110 + 1.95775i) q^{36} +(0.0789907 - 0.243108i) q^{37} +(2.98563 + 2.16919i) q^{38} +(-6.07696 - 4.41517i) q^{39} +(2.32882 - 7.16738i) q^{40} +(-1.77139 - 5.45177i) q^{41} +(3.16491 - 2.29944i) q^{42} -8.01781 q^{43} +(-3.00397 - 0.416437i) q^{44} +9.15429 q^{45} +(-2.57733 + 1.87254i) q^{46} +(-1.25698 - 3.86859i) q^{47} +(-3.53546 + 10.8810i) q^{48} +(-0.809017 - 0.587785i) q^{49} +(15.9317 + 11.5751i) q^{50} +(-0.935354 + 2.87873i) q^{51} +(0.926218 + 2.85060i) q^{52} +(4.04982 - 2.94237i) q^{53} +2.92926 q^{54} +(-5.88941 + 12.1328i) q^{55} +1.85331 q^{56} +(-4.00768 + 2.91175i) q^{57} +(0.128774 + 0.396325i) q^{58} +(-0.303947 + 0.935452i) q^{59} +(-6.89329 - 5.00827i) q^{60} +(-1.49402 - 1.08547i) q^{61} +(3.62414 - 11.1540i) q^{62} +(0.695665 + 2.14104i) q^{63} +(-1.42591 + 1.03598i) q^{64} +13.3292 q^{65} +(5.66590 - 11.6723i) q^{66} -3.00700 q^{67} +(0.977133 - 0.709928i) q^{68} +(-1.32145 - 4.06700i) q^{69} +(-2.14518 + 6.60218i) q^{70} +(-5.23953 - 3.80674i) q^{71} +(-3.37538 - 2.45236i) q^{72} +(-2.98252 + 9.17926i) q^{73} +(-0.134850 - 0.415025i) q^{74} +(-21.3855 + 15.5375i) q^{75} +1.97668 q^{76} +(-3.28521 - 0.455425i) q^{77} -12.8234 q^{78} +(4.47750 - 3.25310i) q^{79} +(-6.27368 - 19.3084i) q^{80} +(-3.30205 + 10.1627i) q^{81} +(-7.91704 - 5.75206i) q^{82} +(-1.67485 - 1.21685i) q^{83} +(0.647507 - 1.99282i) q^{84} +(-1.65979 - 5.10831i) q^{85} +(-11.0736 + 8.04542i) q^{86} -0.559372 q^{87} +(5.42181 - 2.89588i) q^{88} +16.6306 q^{89} +(12.6432 - 9.18581i) q^{90} +(1.01293 + 3.11749i) q^{91} +(-0.527294 + 1.62284i) q^{92} +(12.7361 + 9.25333i) q^{93} +(-5.61795 - 4.08168i) q^{94} +(2.71640 - 8.36023i) q^{95} +(3.41082 + 10.4974i) q^{96} +(2.09179 - 1.51977i) q^{97} -1.70716 q^{98} +(5.38063 + 5.17655i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9}+O(q^{10}) $ 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9	\( 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9} + 12 q^{10} - 3 q^{11} + 18 q^{12} - 7 q^{13} + 2 q^{14} - 18 q^{15} + 17 q^{16} - 5 q^{17} + 11 q^{18} + 19 q^{19} + q^{20} + 8 q^{21} - 33 q^{22} + 32 q^{23} - 35 q^{24} + 7 q^{25} - 27 q^{26} + 10 q^{27} + 4 q^{28} + 3 q^{29} - 2 q^{30} - 7 q^{31} + 32 q^{32} - 26 q^{33} - 24 q^{34} - 5 q^{35} + 52 q^{36} + 4 q^{37} - 5 q^{38} + 11 q^{39} - 10 q^{40} - 10 q^{41} + 3 q^{42} - 8 q^{43} - 38 q^{44} + 70 q^{45} - 42 q^{46} - 23 q^{47} - 36 q^{48} - 4 q^{49} + 52 q^{50} - 29 q^{51} + 33 q^{52} + 4 q^{53} + 60 q^{54} - 12 q^{55} - 11 q^{57} + 20 q^{58} + 17 q^{59} - 30 q^{60} - 7 q^{61} + 79 q^{62} - 2 q^{63} + 7 q^{64} - 8 q^{65} + 8 q^{66} - 38 q^{67} - 2 q^{68} + 10 q^{69} - 18 q^{70} - 14 q^{71} - 35 q^{73} - 29 q^{74} + 9 q^{75} + 52 q^{76} - 3 q^{77} - 58 q^{78} + 15 q^{79} - 87 q^{80} - 14 q^{81} + 19 q^{82} + 5 q^{83} + 8 q^{84} + 6 q^{85} - 52 q^{86} - 72 q^{87} + 55 q^{88} + 74 q^{89} - 14 q^{90} + 13 q^{91} - 55 q^{92} + 32 q^{93} - 24 q^{94} + 32 q^{95} - 42 q^{96} + 20 q^{97} + 2 q^{98} + 16 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9 + 12 * q^10 - 3 * q^11 + 18 * q^12 - 7 * q^13 + 2 * q^14 - 18 * q^15 + 17 * q^16 - 5 * q^17 + 11 * q^18 + 19 * q^19 + q^20 + 8 * q^21 - 33 * q^22 + 32 * q^23 - 35 * q^24 + 7 * q^25 - 27 * q^26 + 10 * q^27 + 4 * q^28 + 3 * q^29 - 2 * q^30 - 7 * q^31 + 32 * q^32 - 26 * q^33 - 24 * q^34 - 5 * q^35 + 52 * q^36 + 4 * q^37 - 5 * q^38 + 11 * q^39 - 10 * q^40 - 10 * q^41 + 3 * q^42 - 8 * q^43 - 38 * q^44 + 70 * q^45 - 42 * q^46 - 23 * q^47 - 36 * q^48 - 4 * q^49 + 52 * q^50 - 29 * q^51 + 33 * q^52 + 4 * q^53 + 60 * q^54 - 12 * q^55 - 11 * q^57 + 20 * q^58 + 17 * q^59 - 30 * q^60 - 7 * q^61 + 79 * q^62 - 2 * q^63 + 7 * q^64 - 8 * q^65 + 8 * q^66 - 38 * q^67 - 2 * q^68 + 10 * q^69 - 18 * q^70 - 14 * q^71 - 35 * q^73 - 29 * q^74 + 9 * q^75 + 52 * q^76 - 3 * q^77 - 58 * q^78 + 15 * q^79 - 87 * q^80 - 14 * q^81 + 19 * q^82 + 5 * q^83 + 8 * q^84 + 6 * q^85 - 52 * q^86 - 72 * q^87 + 55 * q^88 + 74 * q^89 - 14 * q^90 + 13 * q^91 - 55 * q^92 + 32 * q^93 - 24 * q^94 + 32 * q^95 - 42 * q^96 + 20 * q^97 + 2 * q^98 + 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/77\mathbb{Z}\right)^\times$.

$n$	$45$	$57$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	1.38112	−	1.00344i	0.976600	−	0.709541i	0.0196536	−	0.999807i	$-0.493744\pi$
$2$	1.38112	−	1.00344i	0.976600	−	0.709541i	0.956946	+	0.290266i	$0.0937437\pi$
$3$	0.708129	+	2.17940i	0.408839	+	1.25828i	0.917647	+	0.397396i	$0.130086\pi$
$3$	0.708129	+	2.17940i	0.408839	+	1.25828i	−0.508809	+	0.860880i	$0.669914\pi$
$4$	0.282562	−	0.869638i	0.141281	−	0.434819i
$5$	−3.28976	−	2.39015i	−1.47123	−	1.06891i	−0.980256	−	0.197732i	$-0.936642\pi$
$5$	−3.28976	−	2.39015i	−1.47123	−	1.06891i	−0.490971	−	0.871176i	$-0.663358\pi$
$6$	3.16491	+	2.29944i	1.29207	+	0.938744i
$7$	0.309017	−	0.951057i	0.116797	−	0.359466i
$7$	0.309017	−	0.951057i	0.116797	−	0.359466i
$8$	0.572703	+	1.76260i	0.202481	+	0.623173i
$9$	−1.82128	+	1.32323i	−0.607092	+	0.441078i
$10$	−6.94194			−2.19523
$11$	−0.582050	−	3.26515i	−0.175495	−	0.984480i
$11$	−0.582050	−	3.26515i	−0.175495	−	0.984480i
$12$	2.09538			0.604883
$13$	−2.65189	+	1.92671i	−0.735503	+	0.534374i	−0.891300	−	0.453415i	$-0.850206\pi$
$13$	−2.65189	+	1.92671i	−0.735503	+	0.534374i	0.155796	+	0.987789i	$0.450206\pi$
$14$	−0.527541	−	1.62360i	−0.140991	−	0.433927i
$15$	2.87952	−	8.86224i	0.743488	−	2.28822i
$16$	4.03916	+	2.93462i	1.00979	+	0.733655i
$17$	1.06862	+	0.776394i	0.259177	+	0.188303i	0.709784	−	0.704419i	$-0.248792\pi$
$17$	1.06862	+	0.776394i	0.259177	+	0.188303i	−0.450607	+	0.892722i	$0.648792\pi$
$18$	−1.18761	+	3.65509i	−0.279923	+	0.861513i
$19$	0.668017	+	2.05594i	0.153254	+	0.471666i	0.997980	−	0.0635328i	$-0.0202368\pi$
$19$	0.668017	+	2.05594i	0.153254	+	0.471666i	−0.844726	+	0.535199i	$0.820237\pi$
$20$	−3.00813	+	2.18553i	−0.672638	+	0.488700i
$21$	2.29155			0.500058
$22$	−4.08027	−	3.92552i	−0.869917	−	0.836923i
$23$	−1.86611			−0.389112			−0.194556	−	0.980891i	$-0.562327\pi$
$23$	−1.86611			−0.389112			−0.194556	+	0.980891i	$0.562327\pi$
$24$	−3.43586	+	2.49630i	−0.701341	+	0.509554i
$25$	3.56462	+	10.9708i	0.712925	+	2.19416i
$26$	−1.72924	+	5.32205i	−0.339132	+	1.04374i
$27$	1.38817	+	1.00856i	0.267153	+	0.194098i
$28$	−0.739758	−	0.537466i	−0.139801	−	0.101571i
$29$	−0.0754316	+	0.232155i	−0.0140073	+	0.0431100i	−0.957816	−	0.287383i	$-0.907215\pi$
$29$	−0.0754316	+	0.232155i	−0.0140073	+	0.0431100i	0.943809	+	0.330493i	$0.107215\pi$
$30$	−4.91579	−	15.1292i	−0.897496	−	2.76221i
$31$	5.55785	−	4.03801i	0.998219	−	0.725249i	0.0365136	−	0.999333i	$-0.488375\pi$
$31$	5.55785	−	4.03801i	0.998219	−	0.725249i	0.961706	+	0.274084i	$0.0883748\pi$
$32$	4.81667			0.851475
$33$	6.70390	−	3.58067i	1.16700	−	0.623314i
$34$	2.25495			0.386721
$35$	−3.28976	+	2.39015i	−0.556071	+	0.404009i
$36$	0.636110	+	1.95775i	0.106018	+	0.326291i
$37$	0.0789907	−	0.243108i	0.0129860	−	0.0399668i	−0.944354	−	0.328932i	$-0.893311\pi$
$37$	0.0789907	−	0.243108i	0.0129860	−	0.0399668i	0.957340	+	0.288965i	$0.0933112\pi$
$38$	2.98563	+	2.16919i	0.484334	+	0.351889i
$39$	−6.07696	−	4.41517i	−0.973092	−	0.706993i
$40$	2.32882	−	7.16738i	0.368219	−	1.13326i
$41$	−1.77139	−	5.45177i	−0.276644	−	0.851423i	−0.988780	−	0.149381i	$-0.952272\pi$
$41$	−1.77139	−	5.45177i	−0.276644	−	0.851423i	0.712136	−	0.702042i	$-0.247728\pi$
$42$	3.16491	−	2.29944i	0.488357	−	0.354812i
$43$	−8.01781			−1.22270			−0.611352	−	0.791358i	$-0.709374\pi$
$43$	−8.01781			−1.22270			−0.611352	+	0.791358i	$0.709374\pi$
$44$	−3.00397	−	0.416437i	−0.452865	−	0.0627803i
$45$	9.15429			1.36464
$46$	−2.57733	+	1.87254i	−0.380006	+	0.276091i
$47$	−1.25698	−	3.86859i	−0.183350	−	0.564292i	0.816566	−	0.577251i	$-0.195875\pi$
$47$	−1.25698	−	3.86859i	−0.183350	−	0.564292i	−0.999916	+	0.0129595i	$0.995875\pi$
$48$	−3.53546	+	10.8810i	−0.510299	+	1.57054i
$49$	−0.809017	−	0.587785i	−0.115574	−	0.0839693i
$50$	15.9317	+	11.5751i	2.25309	+	1.63696i
$51$	−0.935354	+	2.87873i	−0.130976	+	0.403102i
$52$	0.926218	+	2.85060i	0.128443	+	0.395308i
$53$	4.04982	−	2.94237i	0.556285	−	0.404165i	−0.273812	−	0.961783i	$-0.588285\pi$
$53$	4.04982	−	2.94237i	0.556285	−	0.404165i	0.830098	+	0.557618i	$0.188285\pi$
$54$	2.92926			0.398622
$55$	−5.88941	+	12.1328i	−0.794127	+	1.63598i
$56$	1.85331			0.247658
$57$	−4.00768	+	2.91175i	−0.530830	+	0.385670i
$58$	0.128774	+	0.396325i	0.0169088	+	0.0520400i
$59$	−0.303947	+	0.935452i	−0.0395705	+	0.121785i	−0.968890	−	0.247490i	$-0.920394\pi$
$59$	−0.303947	+	0.935452i	−0.0395705	+	0.121785i	0.929320	+	0.369276i	$0.120394\pi$
$60$	−6.89329	−	5.00827i	−0.889920	−	0.646565i
$61$	−1.49402	−	1.08547i	−0.191290	−	0.138980i	0.488018	−	0.872833i	$-0.337720\pi$
$61$	−1.49402	−	1.08547i	−0.191290	−	0.138980i	−0.679308	+	0.733853i	$0.737720\pi$
$62$	3.62414	−	11.1540i	0.460267	−	1.41656i
$63$	0.695665	+	2.14104i	0.0876456	+	0.269745i
$64$	−1.42591	+	1.03598i	−0.178239	+	0.129498i
$65$	13.3292			1.65329
$66$	5.66590	−	11.6723i	0.697424	−	1.43676i
$67$	−3.00700			−0.367364			−0.183682	−	0.982986i	$-0.558802\pi$
$67$	−3.00700			−0.367364			−0.183682	+	0.982986i	$0.558802\pi$
$68$	0.977133	−	0.709928i	0.118495	−	0.0860915i
$69$	−1.32145	−	4.06700i	−0.159084	−	0.489610i
$70$	−2.14518	+	6.60218i	−0.256398	+	0.789111i
$71$	−5.23953	−	3.80674i	−0.621818	−	0.451777i	0.231738	−	0.972778i	$-0.425559\pi$
$71$	−5.23953	−	3.80674i	−0.621818	−	0.451777i	−0.853556	+	0.521001i	$0.825559\pi$
$72$	−3.37538	−	2.45236i	−0.397792	−	0.289013i
$73$	−2.98252	+	9.17926i	−0.349078	+	1.07435i	0.610287	+	0.792181i	$0.291054\pi$
$73$	−2.98252	+	9.17926i	−0.349078	+	1.07435i	−0.959364	+	0.282170i	$0.908946\pi$
$74$	−0.134850	−	0.415025i	−0.0156760	−	0.0482456i
$75$	−21.3855	+	15.5375i	−2.46938	+	1.79411i
$76$	1.97668			0.226741
$77$	−3.28521	−	0.455425i	−0.374384	−	0.0519005i
$78$	−12.8234			−1.45196
$79$	4.47750	−	3.25310i	0.503759	−	0.366002i	−0.306692	−	0.951809i	$-0.599222\pi$
$79$	4.47750	−	3.25310i	0.503759	−	0.366002i	0.810451	+	0.585807i	$0.199222\pi$
$80$	−6.27368	−	19.3084i	−0.701419	−	2.15874i
$81$	−3.30205	+	10.1627i	−0.366895	+	1.12919i
$82$	−7.91704	−	5.75206i	−0.874290	−	0.635209i
$83$	−1.67485	−	1.21685i	−0.183839	−	0.133567i	0.492060	−	0.870561i	$-0.336244\pi$
$83$	−1.67485	−	1.21685i	−0.183839	−	0.133567i	−0.675898	+	0.736995i	$0.736244\pi$
$84$	0.647507	−	1.99282i	0.0706488	−	0.217435i
$85$	−1.65979	−	5.10831i	−0.180029	−	0.554074i
$86$	−11.0736	+	8.04542i	−1.19409	+	0.867559i
$87$	−0.559372			−0.0599710
$88$	5.42181	−	2.89588i	0.577967	−	0.308702i
$89$	16.6306			1.76284			0.881421	−	0.472331i	$-0.156587\pi$
$89$	16.6306			1.76284			0.881421	+	0.472331i	$0.156587\pi$
$90$	12.6432	−	9.18581i	1.33271	−	0.968269i
$91$	1.01293	+	3.11749i	0.106184	+	0.326802i
$92$	−0.527294	+	1.62284i	−0.0549742	+	0.169193i
$93$	12.7361	+	9.25333i	1.32067	+	0.959525i
$94$	−5.61795	−	4.08168i	−0.579448	−	0.420993i
$95$	2.71640	−	8.36023i	0.278697	−	0.857741i
$96$	3.41082	+	10.4974i	0.348116	+	1.07139i
$97$	2.09179	−	1.51977i	0.212389	−	0.154310i	−0.476505	−	0.879172i	$-0.658097\pi$
$97$	2.09179	−	1.51977i	0.212389	−	0.154310i	0.688894	+	0.724862i	$0.258097\pi$
$98$	−1.70716			−0.172449
$99$	5.38063	+	5.17655i	0.540774	+	0.520263i
$100$	10.5478			1.05478
$101$	−8.55018	+	6.21207i	−0.850775	+	0.618124i	−0.925359	−	0.379091i	$-0.876237\pi$
$101$	−8.55018	+	6.21207i	−0.850775	+	0.618124i	0.0745850	+	0.997215i	$0.476237\pi$
$102$	1.59680	+	4.91444i	0.158107	+	0.486602i
$103$	4.27954	−	13.1711i	0.421676	−	1.29778i	−0.484466	−	0.874810i	$-0.660986\pi$
$103$	4.27954	−	13.1711i	0.421676	−	1.29778i	0.906142	−	0.422974i	$-0.139014\pi$
$104$	−4.91477	−	3.57079i	−0.481933	−	0.350145i
$105$	−7.53867	−	5.47716i	−0.735699	−	0.534516i
$106$	2.64079	−	8.12752i	0.256496	−	0.789415i
$107$	3.84066	+	11.8203i	0.371291	+	1.14272i	0.945947	+	0.324321i	$0.105136\pi$
$107$	3.84066	+	11.8203i	0.371291	+	1.14272i	−0.574656	+	0.818395i	$0.694864\pi$
$108$	1.26933	−	0.922221i	0.122141	−	0.0887408i
$109$	−7.36748			−0.705676			−0.352838	−	0.935684i	$-0.614783\pi$
$109$	−7.36748			−0.705676			−0.352838	+	0.935684i	$0.614783\pi$
$110$	4.04055	+	22.6665i	0.385252	+	2.16116i
$111$	0.585766			0.0555984
$112$	4.03916	−	2.93462i	0.381664	−	0.277295i
$113$	3.52535	+	10.8499i	0.331637	+	1.02067i	0.968355	+	0.249577i	$0.0802916\pi$
$113$	3.52535	+	10.8499i	0.331637	+	1.02067i	−0.636718	+	0.771097i	$0.719708\pi$
$114$	−2.61331	+	8.04295i	−0.244759	+	0.753291i
$115$	6.13907	+	4.46030i	0.572471	+	0.415925i
$116$	0.180576	+	0.131196i	0.0167661	+	0.0121813i
$117$	2.28034	−	7.01815i	0.210817	−	0.648828i
$118$	0.518885	+	1.59696i	0.0477673	+	0.147013i
$119$	1.06862	−	0.776394i	0.0979598	−	0.0711720i
$120$	17.2697			1.57650
$121$	−10.3224	+	3.80096i	−0.938403	+	0.345542i
$122$	−3.15263			−0.285425
$123$	10.6272	−	7.72111i	0.958222	−	0.696189i
$124$	−1.94117	−	5.97431i	−0.174322	−	0.536509i
$125$	8.21219	−	25.2745i	0.734521	−	2.26062i
$126$	3.10921	+	2.25897i	0.276990	+	0.201245i
$127$	7.07765	+	5.14221i	0.628040	+	0.456297i	0.855720	−	0.517438i	$-0.173114\pi$
$127$	7.07765	+	5.14221i	0.628040	+	0.456297i	−0.227681	+	0.973736i	$0.573114\pi$
$128$	−3.90667	+	12.0235i	−0.345304	+	1.06274i
$129$	−5.67765	−	17.4740i	−0.499889	−	1.53850i
$130$	18.4093	−	13.3751i	1.61460	−	1.17308i
$131$	−12.5516			−1.09664			−0.548319	−	0.836269i	$-0.684732\pi$
$131$	−12.5516			−1.09664			−0.548319	+	0.836269i	$0.684732\pi$
$132$	−1.21961	−	6.84172i	−0.106154	−	0.595496i
$133$	2.16175			0.187447
$134$	−4.15303	+	3.01735i	−0.358767	+	0.260660i
$135$	−2.15612	−	6.63587i	−0.185570	−	0.571124i
$136$	−0.756473	+	2.32818i	−0.0648670	+	0.199640i
$137$	5.11961	+	3.71962i	0.437398	+	0.317788i	0.784600	−	0.620002i	$-0.212868\pi$
$137$	5.11961	+	3.71962i	0.437398	+	0.317788i	−0.347202	+	0.937790i	$0.612868\pi$
$138$	−5.90609	−	4.29102i	−0.502760	−	0.365276i
$139$	4.46311	−	13.7361i	0.378556	−	1.16508i	−0.562491	−	0.826803i	$-0.690157\pi$
$139$	4.46311	−	13.7361i	0.378556	−	1.16508i	0.941048	−	0.338274i	$-0.109843\pi$
$140$	1.14900	+	3.53627i	0.0971085	+	0.298869i
$141$	7.54109	−	5.47892i	0.635075	−	0.461409i
$142$	−11.0563			−0.927822
$143$	7.83455	+	7.53740i	0.655158	+	0.630309i
$144$	−11.2396			−0.936633
$145$	0.803037	−	0.583440i	0.0666886	−	0.0484521i
$146$	5.09164	+	15.6704i	0.421387	+	1.29690i
$147$	0.708129	−	2.17940i	0.0584055	−	0.179754i
$148$	−0.189096	−	0.137387i	−0.0155436	−	0.0112931i
$149$	−19.4643	−	14.1417i	−1.59458	−	1.15853i	−0.897009	−	0.442012i	$-0.854265\pi$
$149$	−19.4643	−	14.1417i	−1.59458	−	1.15853i	−0.697570	−	0.716517i	$-0.745735\pi$
$150$	−13.9450	+	42.9182i	−1.13860	+	3.50426i
$151$	−0.409195	−	1.25937i	−0.0332998	−	0.102486i	0.933025	−	0.359811i	$-0.117159\pi$
$151$	−0.409195	−	1.25937i	−0.0332998	−	0.102486i	−0.966325	+	0.257325i	$0.917159\pi$
$152$	−3.24123	+	2.35489i	−0.262898	+	0.191007i
$153$	−2.97359			−0.240401
$154$	−4.99426	+	2.66752i	−0.402449	+	0.214955i
$155$	−27.9355			−2.24383
$156$	−5.55672	+	4.03719i	−0.444894	+	0.323234i
$157$	4.51600	+	13.8988i	0.360416	+	1.10925i	0.952802	+	0.303592i	$0.0981859\pi$
$157$	4.51600	+	13.8988i	0.360416	+	1.10925i	−0.592386	+	0.805654i	$0.701814\pi$
$158$	2.91968	−	8.98584i	0.232277	−	0.714875i
$159$	9.28038	+	6.74259i	0.735982	+	0.534722i
$160$	−15.8457	−	11.5126i	−1.25271	−	0.910149i
$161$	−0.576661	+	1.77478i	−0.0454472	+	0.139872i
$162$	5.63713	+	17.3493i	0.442895	+	1.36309i
$163$	16.9258	−	12.2973i	1.32573	−	0.963202i	0.325892	−	0.945407i	$-0.394335\pi$
$163$	16.9258	−	12.2973i	1.32573	−	0.963202i	0.999842	−	0.0177952i	$-0.00566470\pi$
$164$	−5.24159			−0.409300
$165$	−30.6126	−	4.24379i	−2.38319	−	0.330379i
$166$	−3.53421			−0.274308
$167$	−3.97498	+	2.88799i	−0.307593	+	0.223480i	−0.730863	−	0.682524i	$-0.760882\pi$
$167$	−3.97498	+	2.88799i	−0.307593	+	0.223480i	0.423270	+	0.906004i	$0.360882\pi$
$168$	1.31238	+	4.03909i	0.101252	+	0.311623i
$169$	−0.696904	+	2.14485i	−0.0536080	+	0.164989i
$170$	−7.41826	−	5.38968i	−0.568955	−	0.413370i
$171$	−3.93714	−	2.86050i	−0.301080	−	0.218748i
$172$	−2.26553	+	6.97259i	−0.172745	+	0.531655i
$173$	6.07460	+	18.6957i	0.461844	+	1.42141i	0.862909	+	0.505359i	$0.168640\pi$
$173$	6.07460	+	18.6957i	0.461844	+	1.42141i	−0.401066	+	0.916049i	$0.631360\pi$
$174$	−0.772561	+	0.561298i	−0.0585677	+	0.0425519i
$175$	11.5354			0.871992
$176$	7.23099	−	14.8966i	0.545056	−	1.12287i
$177$	−2.25395			−0.169418
$178$	22.9689	−	16.6879i	1.72159	−	1.25081i
$179$	−7.83631	−	24.1177i	−0.585714	−	1.80264i	−0.596386	−	0.802698i	$-0.703397\pi$
$179$	−7.83631	−	24.1177i	−0.585714	−	1.80264i	0.0106719	−	0.999943i	$-0.496603\pi$
$180$	2.58666	−	7.96092i	0.192798	−	0.593372i
$181$	1.59836	+	1.16128i	0.118805	+	0.0863172i	0.645601	−	0.763675i	$-0.276607\pi$
$181$	1.59836	+	1.16128i	0.118805	+	0.0863172i	−0.526796	+	0.849992i	$0.676607\pi$
$182$	4.52720	+	3.28921i	0.335579	+	0.243812i
$183$	1.30771	−	4.02471i	0.0966686	−	0.297515i
$184$	−1.06873	−	3.28921i	−0.0787878	−	0.242484i
$185$	−0.840927	+	0.610969i	−0.0618262	+	0.0449194i
$186$	26.8753			1.97059
$187$	1.91306	−	3.94109i	0.139897	−	0.288201i
$188$	−3.71945			−0.271269
$189$	1.38817	−	1.00856i	0.100974	−	0.0733622i
$190$	−4.63733	−	14.2722i	−0.336427	−	1.03542i
$191$	0.300672	−	0.925373i	0.0217559	−	0.0669577i	−0.939589	−	0.342304i	$-0.888793\pi$
$191$	0.300672	−	0.925373i	0.0217559	−	0.0669577i	0.961345	+	0.275347i	$0.0887926\pi$
$192$	−3.26755	−	2.37401i	−0.235815	−	0.171330i
$193$	18.7147	+	13.5970i	1.34711	+	0.978735i	0.999150	+	0.0412267i	$0.0131266\pi$
$193$	18.7147	+	13.5970i	1.34711	+	0.978735i	0.347963	+	0.937508i	$0.386873\pi$
$194$	1.36401	−	4.19798i	0.0979299	−	0.301397i
$195$	9.43883	+	29.0497i	0.675928	+	2.08029i
$196$	−0.739758	+	0.537466i	−0.0528399	+	0.0383904i
$197$	−9.91237			−0.706227			−0.353114	−	0.935580i	$-0.614877\pi$
$197$	−9.91237			−0.706227			−0.353114	+	0.935580i	$0.614877\pi$
$198$	12.6257	+	1.75029i	0.897268	+	0.124387i
$199$	10.3847			0.736154			0.368077	−	0.929795i	$-0.380016\pi$
$199$	10.3847			0.736154			0.368077	+	0.929795i	$0.380016\pi$
$200$	−17.2956	+	12.5660i	−1.22299	+	0.888551i
$201$	−2.12934	−	6.55345i	−0.150192	−	0.462245i
$202$	−5.57537	+	17.1592i	−0.392282	+	1.20732i
$203$	0.197482	+	0.143479i	0.0138606	+	0.0100703i
$204$	2.23915	+	1.62684i	0.156772	+	0.113902i
$205$	−7.20312	+	22.1689i	−0.503087	+	1.54834i
$206$	−7.30586	−	22.4851i	−0.509023	−	1.56661i
$207$	3.39871	−	2.46931i	0.236226	−	0.171629i
$208$	−16.3656			−1.13475
$209$	6.32415	−	3.37784i	0.437451	−	0.233650i
$210$	−15.9078			−1.09774
$211$	10.5104	−	7.63627i	0.723567	−	0.525702i	−0.163955	−	0.986468i	$-0.552425\pi$
$211$	10.5104	−	7.63627i	0.723567	−	0.525702i	0.887522	+	0.460766i	$0.152425\pi$
$212$	−1.41447	−	4.35328i	−0.0971459	−	0.298984i
$213$	4.58614	−	14.1147i	0.314237	−	0.967122i
$214$	17.1655	+	12.4714i	1.17341	+	0.852530i
$215$	26.3767	+	19.1638i	1.79888	+	1.30696i
$216$	−0.982684	+	3.02439i	−0.0668632	+	0.205784i
$217$	−2.12291	−	6.53364i	−0.144112	−	0.443533i
$218$	−10.1754	+	7.39284i	−0.689163	+	0.500706i
$219$	−22.1173			−1.49455
$220$	8.88698	+	8.54991i	0.599160	+	0.576435i
$221$	−4.32975			−0.291250
$222$	0.809013	−	0.587782i	0.0542974	−	0.0394494i
$223$	−4.43522	−	13.6502i	−0.297004	−	0.914086i	−0.982541	−	0.186047i	$-0.940432\pi$
$223$	−4.43522	−	13.6502i	−0.297004	−	0.914086i	0.685536	−	0.728038i	$-0.259568\pi$
$224$	1.48843	−	4.58093i	0.0994501	−	0.306076i
$225$	−21.0091	−	15.2640i	−1.40061	−	1.01760i
$226$	15.7562	+	11.4476i	1.04809	+	0.761480i
$227$	1.96992	−	6.06279i	0.130748	−	0.402401i	−0.864156	−	0.503223i	$-0.832147\pi$
$227$	1.96992	−	6.06279i	0.130748	−	0.402401i	0.994904	+	0.100822i	$0.0321473\pi$
$228$	1.39975	+	4.30798i	0.0927005	+	0.285303i
$229$	6.47405	−	4.70368i	0.427817	−	0.310828i	−0.352958	−	0.935639i	$-0.614824\pi$
$229$	6.47405	−	4.70368i	0.427817	−	0.310828i	0.780776	+	0.624812i	$0.214824\pi$
$230$	12.9545			0.854191
$231$	−1.33380	−	7.48227i	−0.0877575	−	0.492297i
$232$	−0.452395			−0.0297012
$233$	8.73915	−	6.34937i	0.572521	−	0.415961i	−0.263499	−	0.964660i	$-0.584877\pi$
$233$	8.73915	−	6.34937i	0.572521	−	0.415961i	0.836020	+	0.548699i	$0.184877\pi$
$234$	−3.89290	−	11.9811i	−0.254487	−	0.783229i
$235$	−5.11135	+	15.7311i	−0.333428	+	1.02619i
$236$	0.727620	+	0.528647i	0.0473641	+	0.0344120i
$237$	10.2604	+	7.45465i	0.666487	+	0.484231i
$238$	0.696819	−	2.14459i	0.0451681	−	0.139013i
$239$	7.77433	+	23.9269i	0.502880	+	1.54770i	0.804306	+	0.594215i	$0.202537\pi$
$239$	7.77433	+	23.9269i	0.502880	+	1.54770i	−0.301427	+	0.953489i	$0.597463\pi$
$240$	37.6381	−	27.3457i	2.42953	−	1.76516i
$241$	−18.2462			−1.17534			−0.587669	−	0.809101i	$-0.699954\pi$
$241$	−18.2462			−1.17534			−0.587669	+	0.809101i	$0.699954\pi$
$242$	−10.4425	+	15.6076i	−0.671268	+	1.00329i
$243$	−19.3392			−1.24061
$244$	−1.36612	+	0.992543i	−0.0874568	+	0.0635411i
$245$	1.25658	+	3.86735i	0.0802798	+	0.247076i
$246$	6.92975	−	21.3276i	0.441825	−	1.35980i
$247$	−5.73273	−	4.16507i	−0.364765	−	0.265017i
$248$	10.3004	+	7.48368i	0.654076	+	0.475214i
$249$	1.46599	−	4.51185i	0.0929032	−	0.285927i
$250$	−14.0195	−	43.1476i	−0.886672	−	2.72890i
$251$	−12.4009	+	9.00981i	−0.782740	+	0.568694i	−0.905800	−	0.423705i	$-0.860729\pi$
$251$	−12.4009	+	9.00981i	−0.782740	+	0.568694i	0.123060	+	0.992399i	$0.460729\pi$
$252$	2.05850			0.129673
$253$	1.08617	+	6.09315i	0.0682870	+	0.383073i
$254$	14.9350			0.937105
$255$	9.95769	−	7.23468i	0.623574	−	0.453053i
$256$	5.58000	+	17.1735i	0.348750	+	1.07334i
$257$	0.828102	−	2.54864i	0.0516556	−	0.158980i	−0.921901	−	0.387426i	$-0.873364\pi$
$257$	0.828102	−	2.54864i	0.0516556	−	0.158980i	0.973557	+	0.228446i	$0.0733644\pi$
$258$	−25.3757	−	18.4365i	−1.57982	−	1.14781i
$259$	−0.206800	−	0.150249i	−0.0128500	−	0.00933604i
$260$	3.76634	−	11.5916i	0.233579	−	0.718881i
$261$	−0.169813	−	0.522631i	−0.0105112	−	0.0323500i
$262$	−17.3353	+	12.5948i	−1.07098	+	0.778110i
$263$	−9.97733			−0.615229			−0.307614	−	0.951511i	$-0.599531\pi$
$263$	−9.97733			−0.615229			−0.307614	+	0.951511i	$0.599531\pi$
$264$	10.1506	+	9.76563i	0.624728	+	0.601033i
$265$	−20.3556			−1.25044
$266$	2.98563	−	2.16919i	0.183061	−	0.133002i
$267$	11.7766	+	36.2447i	0.720718	+	2.21814i
$268$	−0.849665	+	2.61500i	−0.0519016	+	0.159737i
$269$	17.4565	+	12.6829i	1.06434	+	0.773288i	0.974886	−	0.222703i	$-0.0714879\pi$
$269$	17.4565	+	12.6829i	1.06434	+	0.773288i	0.0894538	+	0.995991i	$0.471488\pi$
$270$	−9.63658	−	7.00138i	−0.586463	−	0.426091i
$271$	−4.63100	+	14.2528i	−0.281313	+	0.865793i	0.706166	+	0.708046i	$0.250423\pi$
$271$	−4.63100	+	14.2528i	−0.281313	+	0.865793i	−0.987480	+	0.157747i	$0.949577\pi$
$272$	2.03788	+	6.27196i	0.123565	+	0.380293i
$273$	−6.07696	+	4.41517i	−0.367794	+	0.267218i
$274$	10.8032			0.652647
$275$	33.7465	−	18.0246i	2.03499	−	1.08692i
$276$	−3.91021			−0.235367
$277$	−4.21207	+	3.06025i	−0.253079	+	0.183872i	−0.707090	−	0.707123i	$-0.749992\pi$
$277$	−4.21207	+	3.06025i	−0.253079	+	0.183872i	0.454012	+	0.890996i	$0.349992\pi$
$278$	−7.61924	−	23.4496i	−0.456972	−	1.40641i
$279$	−4.77914	+	14.7087i	−0.286119	+	0.880585i
$280$	−6.09694	−	4.42968i	−0.364362	−	0.264724i
$281$	−12.2647	−	8.91086i	−0.731654	−	0.531577i	0.158433	−	0.987370i	$-0.449356\pi$
$281$	−12.2647	−	8.91086i	−0.731654	−	0.531577i	−0.890086	+	0.455792i	$0.849356\pi$
$282$	4.91737	−	15.1341i	0.292825	−	0.901223i
$283$	−1.75076	−	5.38829i	−0.104072	−	0.320301i	0.885439	−	0.464755i	$-0.153857\pi$
$283$	−1.75076	−	5.38829i	−0.104072	−	0.320301i	−0.989512	+	0.144454i	$0.953857\pi$
$284$	−4.79098	+	3.48085i	−0.284292	+	0.206551i
$285$	20.1438			1.19322
$286$	18.3838	+	2.54853i	1.08706	+	0.150698i
$287$	−5.73233			−0.338369
$288$	−8.77248	+	6.37358i	−0.516923	+	0.375567i
$289$	−4.71414	−	14.5086i	−0.277302	−	0.853449i
$290$	0.523642	−	1.61160i	0.0307493	−	0.0946366i
$291$	4.79344	+	3.48264i	0.280997	+	0.204156i
$292$	7.13988	+	5.18743i	0.417830	+	0.303571i
$293$	−8.32502	+	25.6218i	−0.486353	+	1.49684i	0.343659	+	0.939095i	$0.388334\pi$
$293$	−8.32502	+	25.6218i	−0.486353	+	1.49684i	−0.830012	+	0.557746i	$0.811666\pi$
$294$	−1.20889	−	3.72058i	−0.0705038	−	0.216988i
$295$	3.23579	−	2.35094i	0.188395	−	0.136877i
$296$	0.473741			0.0275356
$297$	2.48513	−	5.11961i	0.144202	−	0.297070i
$298$	−41.0729			−2.37929
$299$	4.94874	−	3.59547i	0.286193	−	0.207931i
$300$	7.46923	+	22.9879i	0.431236	+	1.32721i
$301$	−2.47764	+	7.62539i	−0.142809	+	0.439520i
$302$	−1.82885	−	1.32874i	−0.105239	−	0.0764604i
$303$	−19.5932	−	14.2353i	−1.12560	−	0.817796i
$304$	−3.33519	+	10.2647i	−0.191286	+	0.588718i
$305$	2.32053	+	7.14187i	0.132873	+	0.408942i
$306$	−4.10689	+	2.98383i	−0.234775	+	0.170574i
$307$	24.6157			1.40489			0.702447	−	0.711736i	$-0.252091\pi$
$307$	24.6157			1.40489			0.702447	+	0.711736i	$0.252091\pi$
$308$	−1.32433	+	2.72825i	−0.0754608	+	0.155457i
$309$	31.7355			1.80537
$310$	−38.5823	+	28.0316i	−2.19132	+	1.59209i
$311$	−3.15602	−	9.71323i	−0.178962	−	0.550787i	0.820831	−	0.571172i	$-0.193511\pi$
$311$	−3.15602	−	9.71323i	−0.178962	−	0.550787i	−0.999792	+	0.0203847i	$0.993511\pi$
$312$	4.30188	−	13.2398i	0.243546	−	0.749557i
$313$	−18.1222	−	13.1665i	−1.02433	−	0.744217i	−0.0571612	−	0.998365i	$-0.518205\pi$
$313$	−18.1222	−	13.1665i	−1.02433	−	0.744217i	−0.967165	+	0.254148i	$0.918205\pi$
$314$	20.1838	+	14.6644i	1.13904	+	0.827559i
$315$	2.82883	−	8.70625i	0.159387	−	0.490542i
$316$	−1.56384	−	4.81301i	−0.0879730	−	0.270753i
$317$	−18.8982	+	13.7304i	−1.06143	+	0.771174i	−0.974352	−	0.225028i	$-0.927753\pi$
$317$	−18.8982	+	13.7304i	−1.06143	+	0.771174i	−0.0870776	+	0.996202i	$0.527753\pi$
$318$	19.5831			1.09817
$319$	0.801925	+	0.111170i	0.0448992	+	0.00622433i
$320$	7.16707			0.400651
$321$	−23.0415	+	16.7407i	−1.28605	+	0.934373i
$322$	0.984452	+	3.02983i	0.0548614	+	0.168846i
$323$	−0.882371	+	2.71566i	−0.0490964	+	0.151103i
$324$	7.90481	+	5.74318i	0.439156	+	0.319066i
$325$	−30.5906	−	22.2254i	−1.69686	−	1.23284i
$326$	11.0369	−	33.9682i	0.611280	−	1.88133i
$327$	−5.21713	−	16.0567i	−0.288508	−	0.887935i
$328$	8.59480	−	6.24449i	0.474569	−	0.344794i
$329$	−4.06768			−0.224258
$330$	−46.5381	+	24.8568i	−2.56184	+	1.36832i
$331$	15.6444			0.859892			0.429946	−	0.902855i	$-0.358533\pi$
$331$	15.6444			0.859892			0.429946	+	0.902855i	$0.358533\pi$
$332$	−1.53147	+	1.11268i	−0.0840502	+	0.0610660i
$333$	0.177826	+	0.547291i	0.00974478	+	0.0299913i
$334$	−2.59199	+	7.97734i	−0.141828	+	0.436500i
$335$	9.89232	+	7.18719i	0.540475	+	0.392678i
$336$	9.25594	+	6.72484i	0.504953	+	0.366870i
$337$	10.0712	−	30.9959i	0.548611	−	1.68845i	−0.163634	−	0.986521i	$-0.552322\pi$
$337$	10.0712	−	30.9959i	0.548611	−	1.68845i	0.712245	−	0.701931i	$-0.247678\pi$
$338$	1.18973	+	3.66160i	0.0647126	+	0.199165i
$339$	−21.1499	+	15.3663i	−1.14870	+	0.834582i
$340$	−4.91137			−0.266356
$341$	−16.4197	−	15.7969i	−0.889175	−	0.855450i
$342$	−8.30801			−0.449245
$343$	−0.809017	+	0.587785i	−0.0436828	+	0.0317374i
$344$	−4.59183	−	14.1322i	−0.247575	−	0.761957i
$345$	−5.37350	+	16.5379i	−0.289300	+	0.890373i
$346$	27.1498	+	19.7255i	1.45958	+	1.06045i
$347$	−4.65414	−	3.38143i	−0.249848	−	0.181525i	0.455812	−	0.890076i	$-0.349349\pi$
$347$	−4.65414	−	3.38143i	−0.249848	−	0.181525i	−0.705659	+	0.708551i	$0.749349\pi$
$348$	−0.158058	+	0.486451i	−0.00847278	+	0.0260765i
$349$	−0.0568404	−	0.174937i	−0.00304260	−	0.00936415i	0.949524	−	0.313695i	$-0.101567\pi$
$349$	−0.0568404	−	0.174937i	−0.00304260	−	0.00936415i	−0.952566	+	0.304331i	$0.901567\pi$
$350$	15.9317	−	11.5751i	0.851587	−	0.618714i
$351$	−5.62449			−0.300213
$352$	−2.80354	−	15.7272i	−0.149429	−	0.838260i
$353$	19.0211			1.01239			0.506195	−	0.862419i	$-0.331052\pi$
$353$	19.0211			1.01239			0.506195	+	0.862419i	$0.331052\pi$
$354$	−3.11298	+	2.26171i	−0.165453	+	0.120209i
$355$	8.13812	+	25.0466i	0.431927	+	1.32933i
$356$	4.69919	−	14.4626i	0.249057	−	0.766517i
$357$	2.44879	+	1.77915i	0.129604	+	0.0941626i
$358$	−35.0236	−	25.4462i	−1.85106	−	1.34487i
$359$	−0.222161	+	0.683741i	−0.0117252	+	0.0360865i	−0.956748	−	0.290918i	$-0.906039\pi$
$359$	−0.222161	+	0.683741i	−0.0117252	+	0.0360865i	0.945023	+	0.327005i	$0.106039\pi$
$360$	5.24269	+	16.1354i	0.276314	+	0.850408i
$361$	11.5907	−	8.42111i	0.610035	−	0.443216i
$362$	3.37281			0.177271
$363$	−15.5934	−	19.8051i	−0.818442	−	1.03950i
$364$	2.99730			0.157101
$365$	31.7516	−	23.0689i	1.66196	−	1.20748i
$366$	−2.23247	−	6.87083i	−0.116693	−	0.359144i
$367$	−2.43906	+	7.50664i	−0.127318	+	0.391843i	−0.994316	−	0.106467i	$-0.966046\pi$
$367$	−2.43906	+	7.50664i	−0.127318	+	0.391843i	0.866999	+	0.498311i	$0.166046\pi$
$368$	−7.53753	−	5.47633i	−0.392921	−	0.285474i
$369$	10.4401	+	7.58521i	0.543492	+	0.394870i
$370$	−0.548349	+	1.68764i	−0.0285073	+	0.0877364i
$371$	−1.54689	−	4.76085i	−0.0803107	−	0.247171i
$372$	11.6458	−	8.46116i	0.603806	−	0.438691i
$373$	15.6686			0.811292			0.405646	−	0.914030i	$-0.367047\pi$
$373$	15.6686			0.811292			0.405646	+	0.914030i	$0.367047\pi$
$374$	−1.31250	−	7.36277i	−0.0678675	−	0.380720i
$375$	60.8985			3.14479
$376$	6.09890	−	4.43111i	0.314527	−	0.228517i
$377$	−0.247259	−	0.760984i	−0.0127345	−	0.0391927i
$378$	0.905192	−	2.78589i	0.0465580	−	0.143291i
$379$	10.7716	+	7.82600i	0.553298	+	0.401995i	0.829000	−	0.559248i	$-0.188910\pi$
$379$	10.7716	+	7.82600i	0.553298	+	0.401995i	−0.275702	+	0.961243i	$0.588910\pi$
$380$	−6.50282	−	4.72457i	−0.333587	−	0.242365i
$381$	−6.19503	+	19.0664i	−0.317381	+	0.976799i
$382$	−0.513295	−	1.57976i	−0.0262625	−	0.0808275i
$383$	−9.58558	+	6.96433i	−0.489800	+	0.355861i	−0.805107	−	0.593129i	$-0.797892\pi$
$383$	−9.58558	+	6.96433i	−0.489800	+	0.355861i	0.315307	+	0.948990i	$0.397892\pi$
$384$	−28.9704			−1.47839
$385$	9.71902	+	9.35039i	0.495327	+	0.476540i
$386$	39.4911			2.01004
$387$	14.6026	−	10.6094i	0.742294	−	0.539308i
$388$	−0.730591	−	2.24853i	−0.0370901	−	0.114152i
$389$	−1.86947	+	5.75362i	−0.0947857	+	0.291720i	−0.987198	−	0.159501i	$-0.949011\pi$
$389$	−1.86947	+	5.75362i	−0.0947857	+	0.291720i	0.892412	+	0.451221i	$0.149011\pi$
$390$	42.1859	+	30.6498i	2.13617	+	1.55201i
$391$	−1.99416	−	1.44884i	−0.100849	−	0.0732710i
$392$	0.572703	−	1.76260i	0.0289259	−	0.0890247i
$393$	−8.88816	−	27.3549i	−0.448348	−	1.37987i
$394$	−13.6902	+	9.94650i	−0.689701	+	0.501097i
$395$	−22.5053			−1.13237
$396$	6.02209	−	3.21650i	0.302621	−	0.161635i
$397$	−11.5763			−0.580996			−0.290498	−	0.956876i	$-0.593821\pi$
$397$	−11.5763			−0.580996			−0.290498	+	0.956876i	$0.593821\pi$
$398$	14.3426	−	10.4205i	0.718927	−	0.522331i
$399$	1.53080	+	4.71131i	0.0766357	+	0.235860i
$400$	−17.7970	+	54.7735i	−0.889850	+	2.73868i
$401$	−27.3386	−	19.8627i	−1.36522	−	0.991894i	−0.998093	−	0.0617249i	$-0.980340\pi$
$401$	−27.3386	−	19.8627i	−1.36522	−	0.991894i	−0.367132	−	0.930169i	$-0.619660\pi$
$402$	−9.51689	−	6.91443i	−0.474659	−	0.344860i
$403$	−6.95873	+	21.4168i	−0.346639	+	1.06685i
$404$	2.98629	+	9.19086i	0.148573	+	0.457262i
$405$	35.1533	−	25.5404i	1.74678	−	1.26911i
$406$	0.416720			0.0206815
$407$	−0.839763	−	0.116416i	−0.0416255	−	0.00577051i
$408$	−5.60972			−0.277722
$409$	−14.6044	+	10.6107i	−0.722139	+	0.524665i	−0.887067	−	0.461641i	$-0.847261\pi$
$409$	−14.6044	+	10.6107i	−0.722139	+	0.524665i	0.164928	+	0.986306i	$0.447261\pi$
$410$	12.2969	+	37.8458i	0.607299	+	1.86907i
$411$	−4.48118	+	13.7916i	−0.221040	+	0.680291i
$412$	−10.2448	−	7.44330i	−0.504726	−	0.366705i
$413$	0.795743	+	0.578141i	0.0391559	+	0.0284485i
$414$	2.21622	−	6.82082i	0.108921	−	0.335225i
$415$	2.60140	+	8.00629i	0.127698	+	0.393013i
$416$	−12.7733	+	9.28034i	−0.626262	+	0.455006i
$417$	33.0968			1.62076
$418$	5.34495	−	11.0111i	0.261430	−	0.538572i
$419$	2.58559			0.126314			0.0631571	−	0.998004i	$-0.479883\pi$
$419$	2.58559			0.126314			0.0631571	+	0.998004i	$0.479883\pi$
$420$	−6.89329	+	5.00827i	−0.336358	+	0.244379i
$421$	4.32462	+	13.3098i	0.210769	+	0.648681i	0.999427	+	0.0338486i	$0.0107764\pi$
$421$	4.32462	+	13.3098i	0.210769	+	0.648681i	−0.788658	+	0.614833i	$0.789224\pi$
$422$	6.85360	−	21.0932i	0.333628	−	1.02680i
$423$	7.40836	+	5.38249i	0.360207	+	0.261706i
$424$	7.50556	+	5.45311i	0.364502	+	0.264826i
$425$	−4.70845	+	14.4911i	−0.228393	+	0.702922i
$426$	−7.82927	−	24.0960i	−0.379329	−	1.16746i
$427$	−1.49402	+	1.08547i	−0.0723007	+	0.0525295i
$428$	11.3646			0.549331
$429$	−10.8791	+	22.4120i	−0.525248	+	1.08206i
$430$	55.6592			2.68412
$431$	27.2381	−	19.7897i	1.31201	−	0.953234i	0.312019	−	0.950076i	$-0.398995\pi$
$431$	27.2381	−	19.7897i	1.31201	−	0.953234i	0.999995	−	0.00315862i	$-0.00100542\pi$
$432$	2.64728	+	8.14749i	0.127367	+	0.391996i
$433$	2.32471	−	7.15472i	0.111718	−	0.343834i	−0.879530	−	0.475843i	$-0.842143\pi$
$433$	2.32471	−	7.15472i	0.111718	−	0.343834i	0.991248	+	0.132009i	$0.0421429\pi$
$434$	−9.48813	−	6.89353i	−0.455445	−	0.330900i
$435$	1.84020	+	1.33699i	0.0882309	+	0.0641035i
$436$	−2.08177	+	6.40704i	−0.0996988	+	0.306841i
$437$	−1.24660	−	3.83663i	−0.0596327	−	0.183531i
$438$	−30.5466	+	22.1934i	−1.45957	+	1.06044i
$439$	−22.0123			−1.05059			−0.525294	−	0.850921i	$-0.676045\pi$
$439$	−22.0123			−1.05059			−0.525294	+	0.850921i	$0.676045\pi$
$440$	−24.7581	−	3.43219i	−1.18030	−	0.163623i
$441$	2.25122			0.107201
$442$	−5.97990	+	4.34465i	−0.284435	+	0.206654i
$443$	7.32039	+	22.5299i	0.347802	+	1.07043i	0.960066	+	0.279772i	$0.0902589\pi$
$443$	7.32039	+	22.5299i	0.347802	+	1.07043i	−0.612264	+	0.790653i	$0.709741\pi$
$444$	0.165515	−	0.509404i	0.00785501	−	0.0241752i
$445$	−54.7108	−	39.7497i	−2.59354	−	1.88432i
$446$	−19.8228	−	14.4021i	−0.938636	−	0.681959i
$447$	17.0370	−	52.4346i	0.805824	−	2.48007i
$448$	0.544649	+	1.67626i	0.0257323	+	0.0791958i
$449$	−1.84062	+	1.33729i	−0.0868643	+	0.0631106i	−0.630370	−	0.776295i	$-0.717097\pi$
$449$	−1.84062	+	1.33729i	−0.0868643	+	0.0631106i	0.543505	+	0.839406i	$0.317097\pi$
$450$	−44.3326			−2.08986
$451$	−16.7698	+	8.95705i	−0.789660	+	0.421771i
$452$	10.4316			0.490663
$453$	2.45491	−	1.78360i	0.115342	−	0.0838006i
$454$	−3.36297	−	10.3501i	−0.157832	−	0.485756i
$455$	4.11896	−	12.6769i	0.193100	−	0.594300i
$456$	−7.42745	−	5.39636i	−0.347822	−	0.252708i
$457$	22.0970	+	16.0544i	1.03365	+	0.750993i	0.969037	−	0.246917i	$-0.0794174\pi$
$457$	22.0970	+	16.0544i	1.03365	+	0.750993i	0.0646170	+	0.997910i	$0.479417\pi$
$458$	4.22158	−	12.9927i	0.197261	−	0.607108i
$459$	0.700375	+	2.15553i	0.0326907	+	0.100612i
$460$	5.61351	−	4.07846i	0.261731	−	0.190159i
$461$	−8.21908			−0.382801			−0.191400	−	0.981512i	$-0.561303\pi$
$461$	−8.21908			−0.382801			−0.191400	+	0.981512i	$0.561303\pi$
$462$	−9.35017	−	8.99553i	−0.435009	−	0.418510i
$463$	−27.9839			−1.30052			−0.650261	−	0.759711i	$-0.725340\pi$
$463$	−27.9839			−1.30052			−0.650261	+	0.759711i	$0.725340\pi$
$464$	−0.985965	+	0.716345i	−0.0457723	+	0.0332555i
$465$	−19.7819	−	60.8825i	−0.917365	−	2.82336i
$466$	5.69860	−	17.5385i	0.263982	−	0.812454i
$467$	−21.5801	−	15.6789i	−0.998610	−	0.725533i	−0.0368204	−	0.999322i	$-0.511723\pi$
$467$	−21.5801	−	15.6789i	−0.998610	−	0.725533i	−0.961790	+	0.273789i	$0.911723\pi$
$468$	−5.45891	−	3.96613i	−0.252338	−	0.183335i
$469$	−0.929214	+	2.85983i	−0.0429071	+	0.132055i
$470$	8.72589	+	26.8555i	0.402495	+	1.23875i
$471$	−27.0931	+	19.6843i	−1.24839	+	0.907005i
$472$	−1.82290			−0.0839057
$473$	4.66676	+	26.1794i	0.214578	+	1.20373i
$474$	21.6512			0.994474
$475$	−20.1741	+	14.6573i	−0.925651	+	0.672525i
$476$	−0.373231	−	1.14869i	−0.0171070	−	0.0526500i
$477$	−3.48240	+	10.7177i	−0.159448	+	0.490730i
$478$	34.7466	+	25.2449i	1.58927	+	1.15467i
$479$	18.7886	+	13.6507i	0.858473	+	0.623717i	0.927469	−	0.373900i	$-0.121980\pi$
$479$	18.7886	+	13.6507i	0.858473	+	0.623717i	−0.0689958	+	0.997617i	$0.521980\pi$
$480$	13.8697	−	42.6865i	0.633061	−	1.94836i
$481$	0.258925	+	0.796890i	0.0118060	+	0.0363351i
$482$	−25.2001	+	18.3090i	−1.14783	+	0.833951i
$483$	−4.27630			−0.194578
$484$	0.388726	+	10.0508i	0.0176694	+	0.456854i
$485$	−10.5140			−0.477415
$486$	−26.7097	+	19.4058i	−1.21158	+	0.880263i
$487$	−5.80706	−	17.8723i	−0.263143	−	0.809870i	−0.992115	−	0.125327i	$-0.960002\pi$
$487$	−5.80706	−	17.8723i	−0.263143	−	0.809870i	0.728973	−	0.684543i	$-0.239998\pi$
$488$	1.05762	−	3.25501i	0.0478761	−	0.147347i
$489$	38.7865	+	28.1800i	1.75398	+	1.27434i
$490$	5.61615	+	4.08037i	0.253712	+	0.184332i
$491$	2.28850	−	7.04327i	0.103278	−	0.317858i	−0.886044	−	0.463601i	$-0.846557\pi$
$491$	2.28850	−	7.04327i	0.103278	−	0.317858i	0.989323	+	0.145743i	$0.0465571\pi$
$492$	−3.71172	−	11.4235i	−0.167337	−	0.515012i
$493$	−0.260851	+	0.189519i	−0.0117481	+	0.00853552i
$494$	−12.0970			−0.544269
$495$	−5.32825	−	29.8902i	−0.239487	−	1.34346i
$496$	34.2991			1.54007
$497$	−5.23953	+	3.80674i	−0.235025	+	0.170756i
$498$	−2.50267	−	7.70244i	−0.112148	−	0.345155i
$499$	7.31454	−	22.5118i	0.327444	−	1.00777i	−0.642882	−	0.765965i	$-0.722261\pi$
$499$	7.31454	−	22.5118i	0.327444	−	1.00777i	0.970325	−	0.241803i	$-0.0777386\pi$
$500$	−19.6592	−	14.2833i	−0.879188	−	0.638767i
$501$	−9.10889	−	6.61799i	−0.406955	−	0.295670i
$502$	−8.08636	+	24.8873i	−0.360912	+	1.11077i
$503$	−2.59491	−	7.98632i	−0.115701	−	0.356092i	0.876391	−	0.481600i	$-0.159944\pi$
$503$	−2.59491	−	7.98632i	−0.115701	−	0.356092i	−0.992093	+	0.125507i	$0.959944\pi$
$504$	−3.37538	+	2.45236i	−0.150351	+	0.109237i
$505$	42.9758			1.91240
$506$	7.61426	+	7.32546i	0.338495	+	0.325656i
$507$	−5.16798			−0.229518
$508$	6.47174	−	4.70199i	0.287137	−	0.208617i
$509$	4.42094	+	13.6062i	0.195955	+	0.603086i	0.999964	+	0.00846991i	$0.00269609\pi$
$509$	4.42094	+	13.6062i	0.195955	+	0.603086i	−0.804009	+	0.594616i	$0.797304\pi$
$510$	6.49317	−	19.9839i	0.287523	−	0.884904i
$511$	7.80834	+	5.67309i	0.345421	+	0.250963i
$512$	4.48369	+	3.25759i	0.198153	+	0.143967i
$513$	−1.14623	+	3.52773i	−0.0506073	+	0.155753i
$514$	−1.41370	−	4.35093i	−0.0623557	−	0.191911i
$515$	−45.5595	+	33.1009i	−2.00759	+	1.45860i
$516$	−16.8003			−0.739594
$517$	−11.8999	+	6.35595i	−0.523358	+	0.279534i
$518$	−0.436383			−0.0191736
$519$	−36.4438	+	26.4780i	−1.59970	+	1.16225i
$520$	7.63370	+	23.4941i	0.334760	+	1.03028i
$521$	−10.3114	+	31.7352i	−0.451750	+	1.39034i	0.423158	+	0.906056i	$0.360921\pi$
$521$	−10.3114	+	31.7352i	−0.451750	+	1.39034i	−0.874909	+	0.484288i	$0.839079\pi$
$522$	−0.758963	−	0.551419i	−0.0332189	−	0.0241349i
$523$	−10.8261	−	7.86559i	−0.473390	−	0.343938i	0.325371	−	0.945587i	$-0.394511\pi$
$523$	−10.8261	−	7.86559i	−0.473390	−	0.343938i	−0.798761	+	0.601648i	$0.794511\pi$
$524$	−3.54661	+	10.9153i	−0.154934	+	0.476839i
$525$	8.16853	+	25.1401i	0.356504	+	1.09721i
$526$	−13.7799	+	10.0117i	−0.600832	+	0.436530i
$527$	9.07430			0.395283
$528$	37.5860	+	5.21051i	1.63572	+	0.226758i
$529$	−19.5176			−0.848592
$530$	−28.1136	+	20.4257i	−1.22118	+	0.887237i
$531$	−0.684251	−	2.10591i	−0.0296940	−	0.0913886i
$532$	0.610829	−	1.87994i	0.0264828	−	0.0815056i
$533$	15.2015	+	11.0446i	0.658451	+	0.478393i
$534$	52.6345	+	38.2412i	2.27772	+	1.65486i
$535$	15.6176	−	48.0659i	0.675206	−	2.07807i
$536$	−1.72212	−	5.30014i	−0.0743842	−	0.228931i
$537$	47.0129	−	34.1569i	2.02876	−	1.47398i
$538$	36.8360			1.58811
$539$	−1.44832	+	2.98368i	−0.0623836	+	0.128516i
$540$	−6.38004			−0.274553
$541$	27.5583	−	20.0223i	1.18482	−	0.860825i	0.192117	−	0.981372i	$-0.438465\pi$
$541$	27.5583	−	20.0223i	1.18482	−	0.860825i	0.992708	+	0.120547i	$0.0384648\pi$
$542$	7.90586	+	24.3317i	0.339586	+	1.04514i
$543$	−1.39904	+	4.30581i	−0.0600386	+	0.184780i
$544$	5.14717	+	3.73964i	0.220683	+	0.160336i
$545$	24.2373	+	17.6094i	1.03821	+	0.754304i
$546$	−3.96264	+	12.1958i	−0.169585	+	0.521930i
$547$	−4.87054	−	14.9900i	−0.208249	−	0.640925i	−0.999564	−	0.0295167i	$-0.990603\pi$
$547$	−4.87054	−	14.9900i	−0.208249	−	0.640925i	0.791315	−	0.611409i	$-0.209397\pi$
$548$	4.68133	−	3.40118i	0.199976	−	0.145291i
$549$	4.15735			0.177431
$550$	28.5213	−	58.7568i	1.21615	−	2.50540i
$551$	−0.527686			−0.0224802
$552$	6.41170	−	4.65837i	0.272900	−	0.198274i
$553$	−1.71025	−	5.26362i	−0.0727274	−	0.223832i
$554$	−2.74659	+	8.45314i	−0.116691	+	0.359139i
$555$	−1.92703	−	1.40007i	−0.0817979	−	0.0594296i
$556$	−10.6843	−	7.76258i	−0.453114	−	0.329207i
$557$	4.97593	−	15.3143i	0.210837	−	0.648889i	−0.788586	−	0.614924i	$-0.789187\pi$
$557$	4.97593	−	15.3143i	0.210837	−	0.648889i	0.999423	−	0.0339647i	$-0.0108134\pi$
$558$	8.15875	+	25.1100i	0.345387	+	1.06299i
$559$	21.2624	−	15.4480i	0.899303	−	0.653382i
$560$	−20.3020			−0.857918
$561$	9.94390	+	1.37851i	0.419832	+	0.0582009i
$562$	−25.8806			−1.09171
$563$	13.9397	−	10.1278i	0.587490	−	0.426836i	−0.253927	−	0.967223i	$-0.581722\pi$
$563$	13.9397	−	10.1278i	0.587490	−	0.426836i	0.841416	+	0.540387i	$0.181722\pi$
$564$	−2.63385	−	8.10616i	−0.110905	−	0.341331i
$565$	14.3354	−	44.1198i	0.603094	−	1.85613i
$566$	−7.82486	−	5.68509i	−0.328903	−	0.238962i
$567$	8.64489	+	6.28088i	0.363051	+	0.263772i
$568$	3.70907	−	11.4153i	0.155629	−	0.478977i
$569$	−11.0054	−	33.8712i	−0.461371	−	1.41995i	−0.863490	−	0.504366i	$-0.831726\pi$
$569$	−11.0054	−	33.8712i	−0.461371	−	1.41995i	0.402119	−	0.915587i	$-0.368274\pi$
$570$	27.8210	−	20.2132i	1.16530	−	0.846637i
$571$	26.6026			1.11329			0.556643	−	0.830752i	$-0.312089\pi$
$571$	26.6026			1.11329			0.556643	+	0.830752i	$0.312089\pi$
$572$	8.76855	−	4.68343i	0.366632	−	0.195824i
$573$	2.22967			0.0931459
$574$	−7.91704	+	5.75206i	−0.330451	+	0.240087i
$575$	−6.65200	−	20.4727i	−0.277407	−	0.853772i
$576$	1.22613	−	3.77363i	0.0510886	−	0.157234i
$577$	−23.3584	−	16.9708i	−0.972421	−	0.706505i	−0.0164191	−	0.999865i	$-0.505227\pi$
$577$	−23.3584	−	16.9708i	−0.972421	−	0.706505i	−0.956002	+	0.293360i	$0.905227\pi$
$578$	−21.0694	−	15.3078i	−0.876370	−	0.636720i
$579$	−16.3809	+	50.4152i	−0.680767	+	2.09518i
$580$	−0.280474	−	0.863209i	−0.0116460	−	0.0358428i
$581$	−1.67485	+	1.21685i	−0.0694844	+	0.0504834i
$582$	10.1150			0.419278
$583$	−11.9645	−	11.5107i	−0.495518	−	0.476723i
$584$	−17.8874			−0.740188
$585$	−24.2762	+	17.6377i	−1.00370	+	0.729229i
$586$	14.2121	+	43.7404i	0.587098	+	1.80690i
$587$	0.752191	−	2.31500i	0.0310462	−	0.0955505i	−0.934333	−	0.356402i	$-0.884003\pi$
$587$	0.752191	−	2.31500i	0.0310462	−	0.0955505i	0.965379	+	0.260852i	$0.0840033\pi$
$588$	−1.69520	−	1.23163i	−0.0699087	−	0.0507916i
$589$	12.0147	+	8.72917i	0.495056	+	0.359679i
$590$	2.10998	−	6.49385i	0.0868665	−	0.267348i
$591$	−7.01924	−	21.6030i	−0.288733	−	0.888629i
$592$	1.03249	−	0.750145i	0.0424349	−	0.0308308i
$593$	15.6870			0.644187			0.322093	−	0.946708i	$-0.395613\pi$
$593$	15.6870			0.644187			0.322093	+	0.946708i	$0.395613\pi$
$594$	−1.70498	−	9.56449i	−0.0699560	−	0.392436i
$595$	−5.37119			−0.220197
$596$	−17.7980	+	12.9310i	−0.729034	+	0.529675i
$597$	7.35373	+	22.6324i	0.300968	+	0.926284i
$598$	3.22696	−	9.93155i	0.131960	−	0.406131i
$599$	10.6967	+	7.77160i	0.437055	+	0.317539i	0.784464	−	0.620175i	$-0.212938\pi$
$599$	10.6967	+	7.77160i	0.437055	+	0.317539i	−0.347409	+	0.937714i	$0.612938\pi$
$600$	−39.6339	−	28.7957i	−1.61805	−	1.17558i
$601$	−3.47035	+	10.6806i	−0.141559	+	0.435673i	−0.996552	−	0.0829656i	$-0.973561\pi$
$601$	−3.47035	+	10.6806i	−0.141559	+	0.435673i	0.854994	+	0.518638i	$0.173561\pi$
$602$	4.22973	+	13.0178i	0.172391	+	0.530564i
$603$	5.47658	−	3.97897i	0.223023	−	0.162036i
$604$	−1.21082			−0.0492676
$605$	43.0432	+	12.1679i	1.74996	+	0.494697i
$606$	−41.3449			−1.67952
$607$	−15.6526	+	11.3723i	−0.635319	+	0.461587i	−0.858239	−	0.513250i	$-0.828441\pi$
$607$	−15.6526	+	11.3723i	−0.635319	+	0.461587i	0.222920	+	0.974837i	$0.428441\pi$
$608$	3.21762	+	9.90280i	0.130492	+	0.401612i
$609$	−0.172856	+	0.531995i	−0.00700446	+	0.0215575i
$610$	10.3714	+	7.53526i	0.419925	+	0.305094i
$611$	10.7870	+	7.83725i	0.436397	+	0.317061i
$612$	−0.840226	+	2.58595i	−0.0339641	+	0.104531i
$613$	6.50631	+	20.0244i	0.262787	+	0.808776i	0.992195	+	0.124697i	$0.0397958\pi$
$613$	6.50631	+	20.0244i	0.262787	+	0.808776i	−0.729408	+	0.684079i	$0.760204\pi$
$614$	33.9973	−	24.7005i	1.37202	−	0.996830i
$615$	−53.4156			−2.15392
$616$	−1.07872	−	6.05133i	−0.0434627	−	0.243815i
$617$	−24.1496			−0.972228			−0.486114	−	0.873895i	$-0.661586\pi$
$617$	−24.1496			−0.972228			−0.486114	+	0.873895i	$0.661586\pi$
$618$	43.8305	−	31.8447i	1.76312	−	1.28098i
$619$	0.811091	+	2.49628i	0.0326005	+	0.100334i	0.966033	−	0.258420i	$-0.0832018\pi$
$619$	0.811091	+	2.49628i	0.0326005	+	0.100334i	−0.933432	+	0.358754i	$0.883202\pi$
$620$	−7.89352	+	24.2937i	−0.317011	+	0.975660i
$621$	−2.59048	−	1.88209i	−0.103952	−	0.0755258i
$622$	−14.1055	−	10.2483i	−0.565580	−	0.410918i
$623$	5.13915	−	15.8167i	0.205896	−	0.633681i
$624$	−11.5889	−	35.6671i	−0.463929	−	1.42783i
$625$	−40.7646	+	29.6172i	−1.63058	+	1.18469i
$626$	−38.2408			−1.52841
$627$	11.8400	+	11.3909i	0.472843	+	0.454908i
$628$	13.3630			0.533241
$629$	0.273159	−	0.198461i	0.0108916	−	0.00791318i
$630$	−4.82927	−	14.8630i	−0.192403	−	0.592154i
$631$	−7.76175	+	23.8882i	−0.308991	+	0.950975i	0.669167	+	0.743112i	$0.266651\pi$
$631$	−7.76175	+	23.8882i	−0.308991	+	0.950975i	−0.978158	+	0.207863i	$0.933349\pi$
$632$	8.29819	+	6.02899i	0.330084	+	0.239820i
$633$	24.0852	+	17.4989i	0.957300	+	0.695519i
$634$	−12.3231	+	37.9266i	−0.489412	+	1.50626i
$635$	−10.9931	−	33.8333i	−0.436248	−	1.34263i
$636$	8.48590	−	6.16537i	0.336488	−	0.244473i
$637$	3.27792			0.129876
$638$	1.21911	−	0.651146i	0.0482649	−	0.0257791i
$639$	14.5798			0.576770
$640$	41.5900	−	30.2169i	1.64399	−	1.19443i
$641$	6.38380	+	19.6473i	0.252145	+	0.776022i	0.994379	+	0.105881i	$0.0337664\pi$
$641$	6.38380	+	19.6473i	0.252145	+	0.776022i	−0.742234	+	0.670141i	$0.766234\pi$
$642$	−15.0249	+	46.2417i	−0.592984	+	1.82502i
$643$	−13.3190	−	9.67683i	−0.525251	−	0.381617i	0.293328	−	0.956012i	$-0.405237\pi$
$643$	−13.3190	−	9.67683i	−0.525251	−	0.381617i	−0.818578	+	0.574395i	$0.805237\pi$
$644$	1.38047	+	1.00297i	0.0543983	+	0.0395226i
$645$	−23.0874	+	71.0557i	−0.909066	+	2.79782i
$646$	1.50635	+	4.63606i	0.0592664	+	0.182403i
$647$	28.2819	−	20.5480i	1.11188	−	0.807825i	0.128918	−	0.991655i	$-0.458850\pi$
$647$	28.2819	−	20.5480i	1.11188	−	0.807825i	0.982958	+	0.183830i	$0.0588495\pi$
$648$	−19.8038			−0.777967
$649$	3.23130	+	0.447953i	0.126840	+	0.0175837i
$650$	−64.5511			−2.53190
$651$	12.7361	−	9.25333i	0.499168	−	0.362666i
$652$	−5.91163	−	18.1941i	−0.231517	−	0.712537i
$653$	0.746736	−	2.29822i	0.0292221	−	0.0899362i	−0.935382	−	0.353639i	$-0.884944\pi$
$653$	0.746736	−	2.29822i	0.0292221	−	0.0899362i	0.964604	+	0.263703i	$0.0849440\pi$
$654$	−23.3174	−	16.9411i	−0.911783	−	0.662449i
$655$	41.2918	+	30.0002i	1.61340	+	1.17221i
$656$	8.84395	−	27.2189i	0.345298	−	1.06272i
$657$	−6.71431	−	20.6645i	−0.261950	−	0.806200i
$658$	−5.61795	+	4.08168i	−0.219011	+	0.159121i
$659$	16.9733			0.661186			0.330593	−	0.943773i	$-0.392751\pi$
$659$	16.9733			0.661186			0.330593	+	0.943773i	$0.392751\pi$
$660$	−12.3405	+	25.4227i	−0.480354	+	0.989578i
$661$	7.96946			0.309976			0.154988	−	0.987916i	$-0.450466\pi$
$661$	7.96946			0.309976			0.154988	+	0.987916i	$0.450466\pi$
$662$	21.6068	−	15.6982i	0.839770	−	0.610129i
$663$	−3.06602	−	9.43624i	−0.119074	−	0.366473i
$664$	1.18563	−	3.64898i	0.0460112	−	0.141608i
$665$	−7.11164	−	5.16691i	−0.275777	−	0.200364i
$666$	0.794773	+	0.577437i	0.0307968	+	0.0223752i
$667$	0.140764	−	0.433227i	0.00545040	−	0.0167746i
$668$	1.38833	+	4.27283i	0.0537160	+	0.165321i
$669$	26.6085	−	19.3322i	1.02875	−	0.747427i
$670$	20.8744			0.806449
$671$	−2.67463	+	5.51000i	−0.103253	+	0.212711i
$672$	11.0377			0.425787
$673$	−12.9645	+	9.41925i	−0.499744	+	0.363085i	−0.808919	−	0.587920i	$-0.799947\pi$
$673$	−12.9645	+	9.41925i	−0.499744	+	0.363085i	0.309175	+	0.951005i	$0.399947\pi$
$674$	−17.1931	−	52.9148i	−0.662253	−	2.03820i
$675$	−6.11643	+	18.8244i	−0.235422	+	0.724553i
$676$	1.66832	+	1.21211i	0.0641663	+	0.0466196i
$677$	−12.3266	−	8.95583i	−0.473751	−	0.344200i	0.325150	−	0.945662i	$-0.394585\pi$
$677$	−12.3266	−	8.95583i	−0.473751	−	0.344200i	−0.798901	+	0.601462i	$0.794585\pi$
$678$	−13.7913	+	42.4454i	−0.529653	+	1.63010i
$679$	−0.798992	−	2.45904i	−0.0306625	−	0.0943694i
$680$	8.05333	−	5.85109i	0.308831	−	0.224379i
$681$	14.6082			0.559787
$682$	−38.5288	−	5.34122i	−1.47535	−	0.204526i
$683$	14.3742			0.550013			0.275007	−	0.961442i	$-0.411320\pi$
$683$	14.3742			0.550013			0.275007	+	0.961442i	$0.411320\pi$
$684$	−3.60008	+	2.61561i	−0.137653	+	0.100010i
$685$	−7.95186	−	24.4733i	−0.303825	−	0.935077i
$686$	−0.527541	+	1.62360i	−0.0201416	+	0.0619895i
$687$	14.8356	+	10.7787i	0.566015	+	0.411234i
$688$	−32.3852	−	23.5292i	−1.23467	−	0.897043i
$689$	−5.07059	+	15.6057i	−0.193174	+	0.594529i
$690$	9.17342	+	28.2329i	0.349226	+	1.07481i
$691$	36.2422	−	26.3315i	1.37872	−	1.00170i	0.381720	−	0.924278i	$-0.375332\pi$
$691$	36.2422	−	26.3315i	1.37872	−	1.00170i	0.996999	−	0.0774200i	$-0.0246682\pi$
$692$	17.9750			0.683305
$693$	6.58590	−	3.51764i	0.250178	−	0.133624i
$694$	−9.82101			−0.372800
$695$	−47.5138	+	34.5208i	−1.80230	+	1.30945i
$696$	−0.320354	−	0.985949i	−0.0121430	−	0.0373723i
$697$	2.33979	−	7.20114i	0.0886259	−	0.272763i
$698$	−0.254043	−	0.184573i	−0.00961565	−	0.00698618i
$699$	20.0262	+	14.5499i	0.757462	+	0.550328i
$700$	3.25946	−	10.0316i	0.123196	−	0.379158i
$701$	−0.0742660	−	0.228567i	−0.00280499	−	0.00863287i	0.949644	−	0.313330i	$-0.101445\pi$
$701$	−0.0742660	−	0.228567i	−0.00280499	−	0.00863287i	−0.952449	+	0.304697i	$0.901445\pi$
$702$	−7.76809	+	5.64385i	−0.293188	+	0.213013i
$703$	0.552584			0.0208411
$704$	4.21260	+	4.05282i	0.158768	+	0.152746i
$705$	−37.9039			−1.42754
$706$	26.2704	−	19.0866i	0.988699	−	0.718332i
$707$	3.26588	+	10.0513i	0.122826	+	0.378019i
$708$	−0.636883	+	1.96012i	−0.0239355	+	0.0736660i
$709$	−8.69968	−	6.32068i	−0.326723	−	0.237378i	0.412316	−	0.911041i	$-0.364720\pi$
$709$	−8.69968	−	6.32068i	−0.326723	−	0.237378i	−0.739039	+	0.673663i	$0.764720\pi$
$710$	36.3725	+	26.4262i	1.36504	+	0.991757i
$711$	−3.85016	+	11.8496i	−0.144392	+	0.444394i
$712$	9.52441	+	29.3131i	0.356942	+	1.09856i
$713$	−10.3716	+	7.53539i	−0.388419	+	0.282203i
$714$	5.16735			0.193383
$715$	−7.75828	−	43.5220i	−0.290143	−	1.62763i
$716$	−23.1879			−0.866573
$717$	−46.6411	+	33.8867i	−1.74184	+	1.26552i
$718$	0.379264	+	1.16725i	0.0141540	+	0.0435615i
$719$	−7.96486	+	24.5133i	−0.297039	+	0.914193i	0.685489	+	0.728083i	$0.259588\pi$
$719$	−7.96486	+	24.5133i	−0.297039	+	0.914193i	−0.982529	+	0.186111i	$0.940412\pi$
$720$	36.9756	+	26.8644i	1.37800	+	1.00118i
$721$	−11.2040	−	8.14017i	−0.417258	−	0.303156i
$722$	7.55800	−	23.2611i	0.281280	−	0.865690i
$723$	−12.9206	−	39.7656i	−0.480524	−	1.47890i
$724$	1.46153	−	1.06186i	0.0543174	−	0.0394639i
$725$	−2.81580			−0.104576
$726$	−41.4097	−	11.7062i	−1.53686	−	0.434456i
$727$	−5.47160			−0.202930			−0.101465	−	0.994839i	$-0.532353\pi$
$727$	−5.47160			−0.202930			−0.101465	+	0.994839i	$0.532353\pi$
$728$	−4.91477	+	3.57079i	−0.182154	+	0.132342i
$729$	−3.78848	−	11.6597i	−0.140314	−	0.431842i
$730$	20.7045	−	63.7218i	0.766307	−	2.35845i
$731$	−8.56796	−	6.22498i	−0.316897	−	0.230239i
$732$	−3.13053	−	2.27447i	−0.115708	−	0.0840667i
$733$	−6.13595	+	18.8845i	−0.226636	+	0.697515i	0.771485	+	0.636248i	$0.219514\pi$
$733$	−6.13595	+	18.8845i	−0.226636	+	0.697515i	−0.998121	+	0.0612676i	$0.980486\pi$
$734$	4.16386	+	12.8150i	0.153691	+	0.473011i
$735$	−7.53867	+	5.47716i	−0.278068	+	0.202028i
$736$	−8.98845			−0.331319
$737$	1.75022	+	9.81831i	0.0644703	+	0.361662i
$738$	22.0304			0.810951
$739$	−1.45685	+	1.05847i	−0.0535912	+	0.0389363i	−0.614258	−	0.789105i	$-0.710545\pi$
$739$	−1.45685	+	1.05847i	−0.0535912	+	0.0389363i	0.560667	+	0.828041i	$0.310545\pi$
$740$	0.293708	+	0.903939i	0.0107969	+	0.0332295i
$741$	5.01783	−	15.4433i	0.184335	−	0.567324i
$742$	−6.91368	−	5.02309i	−0.253809	−	0.184403i
$743$	−38.8797	−	28.2477i	−1.42636	−	1.03631i	−0.990681	−	0.136205i	$-0.956509\pi$
$743$	−38.8797	−	28.2477i	−1.42636	−	1.03631i	−0.435676	−	0.900104i	$-0.643491\pi$
$744$	−9.01590	+	27.7481i	−0.330539	+	1.01729i
$745$	30.2323	+	93.0454i	1.10762	+	3.40892i
$746$	21.6403	−	15.7226i	0.792307	−	0.575645i
$747$	4.66054			0.170520
$748$	−2.88676	−	2.77727i	−0.105551	−	0.101547i
$749$	12.4286			0.454133
$750$	84.1082	−	61.1082i	3.07120	−	2.23136i
$751$	−7.73980	−	23.8207i	−0.282429	−	0.869228i	−0.987157	−	0.159751i	$-0.948931\pi$
$751$	−7.73980	−	23.8207i	−0.282429	−	0.869228i	0.704728	−	0.709478i	$-0.251069\pi$
$752$	6.27569	−	19.3146i	0.228851	−	0.704331i
$753$	−28.4174	−	20.6465i	−1.03559	−	0.752399i
$754$	−1.10510	−	0.802901i	−0.0402453	−	0.0292399i
$755$	−1.66394	+	5.12107i	−0.0605569	+	0.186375i
$756$	−0.484840	−	1.49219i	−0.0176335	−	0.0542703i
$757$	−8.61495	+	6.25913i	−0.313116	+	0.227492i	−0.733232	−	0.679978i	$-0.761989\pi$
$757$	−8.61495	+	6.25913i	−0.313116	+	0.227492i	0.420116	+	0.907470i	$0.361989\pi$
$758$	22.7298			0.825583
$759$	−12.5102	+	6.68193i	−0.454093	+	0.242539i
$760$	16.2914			0.590952
$761$	24.1216	−	17.5254i	0.874408	−	0.635295i	−0.0573579	−	0.998354i	$-0.518268\pi$
$761$	24.1216	−	17.5254i	0.874408	−	0.635295i	0.931766	+	0.363059i	$0.118268\pi$
$762$	10.5759	+	32.5493i	0.383125	+	1.17914i
$763$	−2.27668	+	7.00689i	−0.0824212	+	0.253666i
$764$	−0.719781	−	0.522952i	−0.0260408	−	0.0189197i
$765$	9.78242	+	7.10734i	0.353684	+	0.256967i
$766$	−6.25053	+	19.2372i	−0.225841	+	0.695067i
$767$	−0.996314	−	3.06634i	−0.0359748	−	0.110719i
$768$	−33.4765	+	24.3221i	−1.20798	+	0.877648i
$769$	−28.3115			−1.02094			−0.510470	−	0.859896i	$-0.670529\pi$
$769$	−28.3115			−1.02094			−0.510470	+	0.859896i	$0.670529\pi$
$770$	22.8057	+	3.16154i	0.821861	+	0.113934i
$771$	6.14090			0.221159
$772$	17.1126	−	12.4330i	0.615894	−	0.447473i
$773$	4.09645	+	12.6076i	0.147339	+	0.453463i	0.997304	−	0.0733754i	$-0.0233771\pi$
$773$	4.09645	+	12.6076i	0.147339	+	0.453463i	−0.849965	+	0.526839i	$0.823377\pi$
$774$	9.52204	−	29.3058i	0.342263	−	1.05338i
$775$	64.1118	+	46.5800i	2.30296	+	1.67320i
$776$	3.87672	+	2.81660i	0.139166	+	0.101110i
$777$	0.181012	−	0.557096i	0.00649375	−	0.0199857i
$778$	3.19147	+	9.82235i	0.114420	+	0.352148i
$779$	10.0252	−	7.28374i	0.359191	−	0.260967i
$780$	27.9298			1.00005
$781$	−9.37993	+	19.3236i	−0.335640	+	0.691452i
$782$	−4.20800			−0.150478
$783$	−0.338854	+	0.246192i	−0.0121097	+	0.00879818i
$784$	−1.54282	−	4.74831i	−0.0551007	−	0.169583i
$785$	18.3637	−	56.5177i	0.655429	−	2.01720i
$786$	−39.7247	−	28.8617i	−1.41693	−	1.02946i
$787$	−42.6167	−	30.9628i	−1.51912	−	1.10370i	−0.961922	−	0.273325i	$-0.911876\pi$
$787$	−42.6167	−	30.9628i	−1.51912	−	1.10370i	−0.557198	−	0.830380i	$-0.688124\pi$
$788$	−2.80086	+	8.62017i	−0.0997767	+	0.307081i
$789$	−7.06524	−	21.7446i	−0.251529	−	0.774127i
$790$	−31.0826	+	22.5828i	−1.10587	+	0.803460i
$791$	11.4083			0.405632
$792$	−6.04268	+	12.4485i	−0.214717	+	0.442339i
$793$	6.05337			0.214961
$794$	−15.9882	+	11.6161i	−0.567401	+	0.412241i
$795$	−14.4144	−	44.3630i	−0.511227	−	1.57339i
$796$	2.93433	−	9.03095i	0.104005	−	0.320094i
$797$	5.93398	+	4.31129i	0.210192	+	0.152714i	0.687901	−	0.725805i	$-0.258532\pi$
$797$	5.93398	+	4.31129i	0.210192	+	0.152714i	−0.477708	+	0.878518i	$0.658532\pi$
$798$	6.84174	+	4.97082i	0.242195	+	0.175965i
$799$	1.66032	−	5.10995i	0.0587380	−	0.180777i
$800$	17.1696	+	52.8426i	0.607038	+	1.86827i
$801$	−30.2889	+	22.0062i	−1.07021	+	0.777551i
$802$	−57.6890			−2.03707
$803$	31.7076	+	4.39560i	1.11894	+	0.155117i
$804$	−6.30080			−0.222212
$805$	6.13907	−	4.46030i	0.216374	−	0.157205i
$806$	11.8797	+	36.5618i	0.418443	+	1.28784i
$807$	−15.2796	+	47.0257i	−0.537867	+	1.65538i
$808$	−15.8461	−	11.5129i	−0.557464	−	0.405021i
$809$	−7.01263	−	5.09497i	−0.246551	−	0.179130i	0.457646	−	0.889135i	$-0.348693\pi$
$809$	−7.01263	−	5.09497i	−0.246551	−	0.179130i	−0.704197	+	0.710005i	$0.748693\pi$
$810$	22.9227	−	70.5487i	0.805420	−	2.47883i
$811$	6.16449	+	18.9723i	0.216464	+	0.666209i	0.999046	+	0.0436614i	$0.0139023\pi$
$811$	6.16449	+	18.9723i	0.216464	+	0.666209i	−0.782582	+	0.622548i	$0.786098\pi$
$812$	0.180576	−	0.131196i	0.00633698	−	0.00460409i
$813$	−34.3418			−1.20442
$814$	−1.27663	+	0.681870i	−0.0447459	+	0.0238995i
$815$	−85.0745			−2.98003
$816$	−12.2260	+	8.88271i	−0.427996	+	0.310957i
$817$	−5.35603	−	16.4842i	−0.187384	−	0.576708i
$818$	−9.52316	+	29.3093i	−0.332969	+	1.02477i
$819$	−5.97000	−	4.33746i	−0.208609	−	0.151563i
$820$	17.2436	+	12.5282i	0.602172	+	0.437504i
$821$	16.5524	−	50.9432i	0.577684	−	1.77793i	−0.0491669	−	0.998791i	$-0.515657\pi$
$821$	16.5524	−	50.9432i	0.577684	−	1.77793i	0.626851	−	0.779139i	$-0.284343\pi$
$822$	7.65008	+	23.5445i	0.266827	+	0.821209i
$823$	6.83491	−	4.96585i	0.238250	−	0.173099i	−0.462253	−	0.886748i	$-0.652959\pi$
$823$	6.83491	−	4.96585i	0.238250	−	0.173099i	0.700503	+	0.713649i	$0.252959\pi$
$824$	25.6662			0.894125
$825$	63.1796	+	60.7833i	2.19963	+	2.11620i
$826$	1.67915			0.0584250
$827$	2.57477	−	1.87068i	0.0895337	−	0.0650500i	−0.542118	−	0.840302i	$-0.682377\pi$
$827$	2.57477	−	1.87068i	0.0895337	−	0.0650500i	0.631652	+	0.775252i	$0.282377\pi$
$828$	−1.18705	−	3.65338i	−0.0412530	−	0.126964i
$829$	17.7712	−	54.6943i	0.617221	−	1.89961i	0.259837	−	0.965652i	$-0.416331\pi$
$829$	17.7712	−	54.6943i	0.617221	−	1.89961i	0.357384	−	0.933958i	$-0.383669\pi$
$830$	11.6267	+	8.44729i	0.403569	+	0.293210i
$831$	−9.65218	−	7.01272i	−0.334830	−	0.243269i
$832$	1.78532	−	5.49464i	0.0618948	−	0.190492i
$833$	−0.408175	−	1.25623i	−0.0141424	−	0.0435259i
$834$	45.7106	−	33.2107i	1.58283	−	1.14999i
$835$	19.9795			0.691419
$836$	−1.15053	−	6.45417i	−0.0397918	−	0.223222i
$837$	11.7878			0.407447
$838$	3.57101	−	2.59449i	0.123358	−	0.0896251i
$839$	3.88108	+	11.9447i	0.133990	+	0.412378i	0.995432	−	0.0954784i	$-0.0304381\pi$
$839$	3.88108	+	11.9447i	0.133990	+	0.412378i	−0.861442	+	0.507856i	$0.830438\pi$
$840$	5.33662	−	16.4244i	0.184131	−	0.566697i
$841$	23.4133	+	17.0107i	0.807355	+	0.586578i
$842$	19.3285	+	14.0430i	0.666103	+	0.483952i
$843$	10.7353	−	33.0398i	0.369743	−	1.13795i
$844$	−3.67094	−	11.2980i	−0.126359	−	0.388892i
$845$	7.41917	−	5.39034i	0.255227	−	0.185433i
$846$	15.6329			0.537469
$847$	0.425120	+	10.9918i	0.0146073	+	0.377682i
$848$	24.9926			0.858248
$849$	10.5035	−	7.63122i	0.360478	−	0.261903i
$850$	8.03806	+	24.7386i	0.275703	+	0.848528i
$851$	−0.147406	+	0.453668i	−0.00505300	+	0.0155515i
$852$	−10.9788	−	7.97656i	−0.376127	−	0.273272i
$853$	−26.9658	−	19.5918i	−0.923290	−	0.670810i	0.0210505	−	0.999778i	$-0.493299\pi$
$853$	−26.9658	−	19.5918i	−0.923290	−	0.670810i	−0.944341	+	0.328969i	$0.893299\pi$
$854$	−0.974215	+	2.99833i	−0.0333370	+	0.102601i
$855$	6.11522	+	18.8207i	0.209136	+	0.643655i
$856$	−18.6350	+	13.5391i	−0.636930	+	0.462757i
$857$	54.0291			1.84560			0.922800	−	0.385279i	$-0.125895\pi$
$857$	54.0291			1.84560			0.922800	+	0.385279i	$0.125895\pi$
$858$	7.46384	+	41.8703i	0.254811	+	1.42943i
$859$	−12.8624			−0.438860			−0.219430	−	0.975628i	$-0.570420\pi$
$859$	−12.8624			−0.438860			−0.219430	+	0.975628i	$0.570420\pi$
$860$	24.1186	−	17.5232i	0.822438	−	0.597536i
$861$	−4.05923	−	12.4930i	−0.138338	−	0.425761i
$862$	17.7613	−	54.6638i	0.604954	−	1.86186i
$863$	26.8813	+	19.5304i	0.915049	+	0.664822i	0.942287	−	0.334807i	$-0.108671\pi$
$863$	26.8813	+	19.5304i	0.915049	+	0.664822i	−0.0272379	+	0.999629i	$0.508671\pi$
$864$	6.68635	+	4.85791i	0.227474	+	0.165270i
$865$	24.7016	−	76.0237i	0.839879	−	2.58488i
$866$	−3.96865	−	12.2143i	−0.134860	−	0.415057i
$867$	28.2818	−	20.5480i	0.960502	−	0.697845i
$868$	−6.28176			−0.213217
$869$	−13.2280	−	12.7263i	−0.448729	−	0.431709i
$870$	3.88313			0.131650
$871$	7.97425	−	5.79363i	0.270197	−	0.196310i
$872$	−4.21938	−	12.9859i	−0.142886	−	0.439758i
$873$	−1.79871	+	5.53585i	−0.0608770	+	0.187360i
$874$	−5.57153	−	4.04796i	−0.188460	−	0.136924i
$875$	−21.4998	−	15.6205i	−0.726826	−	0.528070i
$876$	−6.24951	+	19.2340i	−0.211151	+	0.649857i
$877$	8.55077	+	26.3166i	0.288739	+	0.888647i	0.985253	+	0.171104i	$0.0547333\pi$
$877$	8.55077	+	26.3166i	0.288739	+	0.888647i	−0.696514	+	0.717543i	$0.745267\pi$
$878$	−30.4016	+	22.0880i	−1.02600	+	0.745435i
$879$	−61.7352			−2.08228
$880$	−59.3933	+	31.7230i	−2.00215	+	1.06938i
$881$	48.9636			1.64963			0.824813	−	0.565406i	$-0.191280\pi$
$881$	48.9636			1.64963			0.824813	+	0.565406i	$0.191280\pi$
$882$	3.10921	−	2.25897i	0.104692	−	0.0760635i
$883$	6.58897	+	20.2788i	0.221736	+	0.682435i	0.998607	+	0.0527736i	$0.0168062\pi$
$883$	6.58897	+	20.2788i	0.221736	+	0.682435i	−0.776870	+	0.629661i	$0.783194\pi$
$884$	−1.22342	+	3.76531i	−0.0411482	+	0.126641i
$885$	7.41498	+	5.38730i	0.249252	+	0.181092i
$886$	32.7178	+	23.7708i	1.09917	+	0.798597i
$887$	−13.9825	+	43.0337i	−0.469487	+	1.44493i	0.383765	+	0.923431i	$0.374627\pi$
$887$	−13.9825	+	43.0337i	−0.469487	+	1.44493i	−0.853251	+	0.521500i	$0.825373\pi$
$888$	0.335470	+	1.03247i	0.0112576	+	0.0346474i
$889$	7.07765	−	5.14221i	0.237377	−	0.172464i
$890$	−115.449			−3.86985
$891$	35.1046	+	4.86653i	1.17605	+	0.163035i
$892$	−13.1240			−0.439423
$893$	7.11392	−	5.16857i	0.238058	−	0.172959i
$894$	−29.0849	−	89.5142i	−0.972745	−	2.99380i
$895$	−31.8654	+	98.0715i	−1.06514	+	3.27817i
$896$	10.2278	+	7.43092i	0.341687	+	0.248250i
$897$	11.3403	+	8.23921i	0.378642	+	0.275099i
$898$	−1.20023	+	3.69392i	−0.0400521	+	0.123268i
$899$	0.518206	+	1.59487i	0.0172831	+	0.0531920i
$900$	−19.2105	+	13.9573i	−0.640351	+	0.465242i
$901$	6.61213			0.220282
$902$	−14.1733	+	29.1983i	−0.471918	+	0.972198i
$903$	−18.3732			−0.611423
$904$	−17.1051	+	12.4276i	−0.568906	+	0.413335i
$905$	−2.48260	−	7.64067i	−0.0825245	−	0.253984i
$906$	1.60079	−	4.92672i	0.0531826	−	0.163679i
$907$	36.4596	+	26.4894i	1.21062	+	0.879568i	0.995287	−	0.0969727i	$-0.0309160\pi$
$907$	36.4596	+	26.4894i	1.21062	+	0.879568i	0.215334	+	0.976540i	$0.430916\pi$
$908$	−4.71581	−	3.42623i	−0.156499	−	0.113704i
$909$	7.35221	−	22.6278i	0.243857	−	0.750516i
$910$	−7.03172	−	21.6414i	−0.233099	−	0.717406i
$911$	7.45484	−	5.41626i	0.246990	−	0.179449i	−0.457402	−	0.889260i	$-0.651220\pi$
$911$	7.45484	−	5.41626i	0.246990	−	0.179449i	0.704392	+	0.709812i	$0.251220\pi$
$912$	−24.7325			−0.818975
$913$	−2.99835	+	6.17690i	−0.0992310	+	0.204426i
$914$	46.6283			1.54233
$915$	−13.9217	+	10.1147i	−0.460238	+	0.334383i
$916$	−2.26117	−	6.95916i	−0.0747111	−	0.229937i
$917$	−3.87866	+	11.9373i	−0.128085	+	0.394204i
$918$	3.13025	+	2.27426i	0.103314	+	0.0750619i
$919$	−40.2198	−	29.2214i	−1.32673	−	0.963924i	−0.999822	−	0.0188673i	$-0.993994\pi$
$919$	−40.2198	−	29.2214i	−1.32673	−	0.963924i	−0.326906	−	0.945057i	$-0.606006\pi$
$920$	−4.34585	+	13.3751i	−0.143278	+	0.440966i
$921$	17.4311	+	53.6475i	0.574375	+	1.76774i
$922$	−11.3515	+	8.24738i	−0.373843	+	0.271613i
$923$	21.2292			0.698767
$924$	−6.88375	−	0.954288i	−0.226459	−	0.0313938i
$925$	2.94866			0.0969514
$926$	−38.6491	+	28.0802i	−1.27009	+	0.922773i
$927$	9.63419	+	29.6510i	0.316428	+	0.973866i
$928$	−0.363329	+	1.11821i	−0.0119269	+	0.0367071i
$929$	−40.0548	−	29.1015i	−1.31416	−	0.954790i	−0.999985	−	0.00542290i	$-0.998274\pi$
$929$	−40.0548	−	29.1015i	−1.31416	−	0.954790i	−0.314170	−	0.949367i	$-0.601726\pi$
$930$	−88.4133	−	64.2360i	−2.89919	−	2.10638i
$931$	0.668017	−	2.05594i	0.0218934	−	0.0673808i
$932$	−3.05229	−	9.39399i	−0.0999812	−	0.307710i
$933$	18.9341	−	13.7564i	0.619875	−	0.450366i
$934$	−45.5377			−1.49004
$935$	−15.7133	+	8.39275i	−0.513881	+	0.274472i
$936$	13.6761			0.447019
$937$	−5.65333	+	4.10739i	−0.184686	+	0.134182i	−0.676287	−	0.736638i	$-0.736412\pi$
$937$	−5.65333	+	4.10739i	−0.184686	+	0.134182i	0.491601	+	0.870821i	$0.336412\pi$
$938$	1.58632	+	4.88218i	0.0517951	+	0.159409i
$939$	15.8623	−	48.8191i	0.517646	−	1.59315i
$940$	12.2361	+	8.89005i	0.399098	+	0.289961i
$941$	−37.8815	−	27.5225i	−1.23490	−	0.897208i	−0.237653	−	0.971350i	$-0.576378\pi$
$941$	−37.8815	−	27.5225i	−1.23490	−	0.897208i	−0.997248	+	0.0741421i	$0.976378\pi$
$942$	−17.6668	+	54.3728i	−0.575615	+	1.77156i
$943$	3.30561	+	10.1736i	0.107645	+	0.331299i
$944$	−3.97288	+	2.88647i	−0.129306	+	0.0939465i
$945$	−6.97736			−0.226974
$946$	32.7149	+	31.4740i	1.06365	+	1.02331i
$947$	15.1286			0.491614			0.245807	−	0.969319i	$-0.420947\pi$
$947$	15.1286			0.491614			0.245807	+	0.969319i	$0.420947\pi$
$948$	9.38206	−	6.81647i	0.304715	−	0.221389i
$949$	−9.77647	−	30.0889i	−0.317358	−	0.976726i
$950$	−13.1551	+	40.4871i	−0.426806	+	1.31357i
$951$	−43.3063	−	31.4639i	−1.40430	−	1.02029i
$952$	1.98047	+	1.43890i	0.0641875	+	0.0466349i
$953$	−17.3752	+	53.4753i	−0.562838	+	1.73224i	0.111453	+	0.993770i	$0.464450\pi$
$953$	−17.3752	+	53.4753i	−0.562838	+	1.73224i	−0.674291	+	0.738466i	$0.735550\pi$
$954$	5.94500	+	18.2968i	0.192477	+	0.592382i
$955$	−3.20092	+	2.32561i	−0.103579	+	0.0752549i
$956$	23.0045			0.744019
$957$	0.325582	+	1.82644i	0.0105246	+	0.0590403i
$958$	39.6470			1.28094
$959$	5.11961	−	3.71962i	0.165321	−	0.120113i
$960$	5.07521	+	15.6199i	0.163802	+	0.504130i
$961$	5.00461	−	15.4026i	0.161439	−	0.496858i
$962$	1.15724	+	0.840785i	0.0373110	+	0.0271080i
$963$	−22.6360	−	16.4460i	−0.729435	−	0.529965i
$964$	−5.15568	+	15.8675i	−0.166053	+	0.511059i
$965$	−29.0679	−	89.4619i	−0.935730	−	2.87988i
$966$	−5.90609	+	4.29102i	−0.190025	+	0.138061i
$967$	46.3761			1.49136			0.745678	−	0.666307i	$-0.232126\pi$
$967$	46.3761			1.49136			0.745678	+	0.666307i	$0.232126\pi$
$968$	−12.6113	−	16.0175i	−0.405341	−	0.514822i
$969$	−6.54333			−0.210202
$970$	−14.5211	+	10.5502i	−0.466243	+	0.338746i
$971$	4.80211	+	14.7794i	0.154107	+	0.474293i	0.998069	−	0.0621097i	$-0.0197828\pi$
$971$	4.80211	+	14.7794i	0.154107	+	0.474293i	−0.843962	+	0.536403i	$0.819783\pi$
$972$	−5.46453	+	16.8181i	−0.175275	+	0.539440i
$973$	−11.6846	−	8.48935i	−0.374591	−	0.272156i
$974$	−25.9541	−	18.8567i	−0.831622	−	0.604208i
$975$	26.7758	−	82.4074i	0.857512	−	2.63915i
$976$	−2.84914	−	8.76876i	−0.0911988	−	0.280681i
$977$	−26.5590	+	19.2962i	−0.849697	+	0.617341i	−0.925062	−	0.379815i	$-0.875988\pi$
$977$	−26.5590	+	19.2962i	−0.849697	+	0.617341i	0.0753657	+	0.997156i	$0.475988\pi$
$978$	81.8458			2.61714
$979$	−9.67985	−	54.3015i	−0.309369	−	1.73548i
$980$	3.71825			0.118775
$981$	13.4182	−	9.74890i	0.428410	−	0.311258i
$982$	−3.90683	−	12.0240i	−0.124672	−	0.383701i
$983$	7.51478	−	23.1281i	0.239684	−	0.737673i	−0.756781	−	0.653668i	$-0.773229\pi$
$983$	7.51478	−	23.1281i	0.239684	−	0.737673i	0.996465	−	0.0840042i	$-0.0267709\pi$
$984$	19.6955	+	14.3096i	0.627868	+	0.456173i
$985$	32.6093	+	23.6921i	1.03902	+	0.754892i
$986$	−0.170095	+	0.523498i	−0.00541692	+	0.0166716i
$987$	−2.88044	−	8.86509i	−0.0916854	−	0.282179i
$988$	−5.24195	+	3.80850i	−0.166769	+	0.121165i
$989$	14.9622			0.475769
$990$	−37.3520	−	35.9353i	−1.18713	−	1.14210i
$991$	−47.7104			−1.51557			−0.757786	−	0.652503i	$-0.773719\pi$
$991$	−47.7104			−1.51557			−0.757786	+	0.652503i	$0.773719\pi$
$992$	26.7703	−	19.4498i	0.849959	−	0.617531i
$993$	11.0782	+	34.0953i	0.351557	+	1.08198i
$994$	−3.41658	+	10.5151i	−0.108367	+	0.333520i
$995$	−34.1633	−	24.8211i	−1.08305	−	0.786881i
$996$	−3.50944	−	2.54976i	−0.111201	−	0.0807922i
$997$	6.13241	−	18.8736i	0.194215	−	0.597733i	−0.805770	−	0.592229i	$-0.798248\pi$
$997$	6.13241	−	18.8736i	0.194215	−	0.597733i	0.999985	−	0.00550400i	$-0.00175199\pi$
$998$	−12.4871	−	38.4313i	−0.395272	−	1.21652i
$999$	0.354843	−	0.257808i	0.0112267	−	0.00815669i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	77.2.f.b.36.4	yes	16
3.2	odd	2		693.2.m.i.190.1		16
7.2	even	3		539.2.q.g.410.1		32
7.3	odd	6		539.2.q.f.520.4		32
7.4	even	3		539.2.q.g.520.4		32
7.5	odd	6		539.2.q.f.410.1		32
7.6	odd	2		539.2.f.e.344.4		16
11.2	odd	10		847.2.a.o.1.7		8
11.3	even	5		847.2.f.w.148.1		16
11.4	even	5	inner	77.2.f.b.15.4	✓	16
11.5	even	5		847.2.f.w.372.1		16
11.6	odd	10		847.2.f.v.372.4		16
11.7	odd	10		847.2.f.x.323.1		16
11.8	odd	10		847.2.f.v.148.4		16
11.9	even	5		847.2.a.p.1.2		8
11.10	odd	2		847.2.f.x.729.1		16
33.2	even	10		7623.2.a.cw.1.2		8
33.20	odd	10		7623.2.a.ct.1.7		8
33.26	odd	10		693.2.m.i.631.1		16
77.4	even	15		539.2.q.g.422.1		32
77.13	even	10		5929.2.a.bs.1.7		8
77.20	odd	10		5929.2.a.bt.1.2		8
77.26	odd	30		539.2.q.f.312.4		32
77.37	even	15		539.2.q.g.312.4		32
77.48	odd	10		539.2.f.e.246.4		16
77.59	odd	30		539.2.q.f.422.1		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
77.2.f.b.15.4	✓	16	11.4	even	5	inner
77.2.f.b.36.4	yes	16	1.1	even	1	trivial
539.2.f.e.246.4		16	77.48	odd	10
539.2.f.e.344.4		16	7.6	odd	2
539.2.q.f.312.4		32	77.26	odd	30
539.2.q.f.410.1		32	7.5	odd	6
539.2.q.f.422.1		32	77.59	odd	30
539.2.q.f.520.4		32	7.3	odd	6
539.2.q.g.312.4		32	77.37	even	15
539.2.q.g.410.1		32	7.2	even	3
539.2.q.g.422.1		32	77.4	even	15
539.2.q.g.520.4		32	7.4	even	3
693.2.m.i.190.1		16	3.2	odd	2
693.2.m.i.631.1		16	33.26	odd	10
847.2.a.o.1.7		8	11.2	odd	10
847.2.a.p.1.2		8	11.9	even	5
847.2.f.v.148.4		16	11.8	odd	10
847.2.f.v.372.4		16	11.6	odd	10
847.2.f.w.148.1		16	11.3	even	5
847.2.f.w.372.1		16	11.5	even	5
847.2.f.x.323.1		16	11.7	odd	10
847.2.f.x.729.1		16	11.10	odd	2
5929.2.a.bs.1.7		8	77.13	even	10
5929.2.a.bt.1.2		8	77.20	odd	10
7623.2.a.ct.1.7		8	33.20	odd	10
7623.2.a.cw.1.2		8	33.2	even	10

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 77 = 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	77.f (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.38112 - 1.00344i) q^{2} +(0.708129 + 2.17940i) q^{3} +(0.282562 - 0.869638i) q^{4} +(-3.28976 - 2.39015i) q^{5} +(3.16491 + 2.29944i) q^{6} +(0.309017 - 0.951057i) q^{7} +(0.572703 + 1.76260i) q^{8} +(-1.82128 + 1.32323i) q^{9} +O(q^{10})\)	\(q+(1.38112 - 1.00344i) q^{2} +(0.708129 + 2.17940i) q^{3} +(0.282562 - 0.869638i) q^{4} +(-3.28976 - 2.39015i) q^{5} +(3.16491 + 2.29944i) q^{6} +(0.309017 - 0.951057i) q^{7} +(0.572703 + 1.76260i) q^{8} +(-1.82128 + 1.32323i) q^{9} -6.94194 q^{10} +(-0.582050 - 3.26515i) q^{11} +2.09538 q^{12} +(-2.65189 + 1.92671i) q^{13} +(-0.527541 - 1.62360i) q^{14} +(2.87952 - 8.86224i) q^{15} +(4.03916 + 2.93462i) q^{16} +(1.06862 + 0.776394i) q^{17} +(-1.18761 + 3.65509i) q^{18} +(0.668017 + 2.05594i) q^{19} +(-3.00813 + 2.18553i) q^{20} +2.29155 q^{21} +(-4.08027 - 3.92552i) q^{22} -1.86611 q^{23} +(-3.43586 + 2.49630i) q^{24} +(3.56462 + 10.9708i) q^{25} +(-1.72924 + 5.32205i) q^{26} +(1.38817 + 1.00856i) q^{27} +(-0.739758 - 0.537466i) q^{28} +(-0.0754316 + 0.232155i) q^{29} +(-4.91579 - 15.1292i) q^{30} +(5.55785 - 4.03801i) q^{31} +4.81667 q^{32} +(6.70390 - 3.58067i) q^{33} +2.25495 q^{34} +(-3.28976 + 2.39015i) q^{35} +(0.636110 + 1.95775i) q^{36} +(0.0789907 - 0.243108i) q^{37} +(2.98563 + 2.16919i) q^{38} +(-6.07696 - 4.41517i) q^{39} +(2.32882 - 7.16738i) q^{40} +(-1.77139 - 5.45177i) q^{41} +(3.16491 - 2.29944i) q^{42} -8.01781 q^{43} +(-3.00397 - 0.416437i) q^{44} +9.15429 q^{45} +(-2.57733 + 1.87254i) q^{46} +(-1.25698 - 3.86859i) q^{47} +(-3.53546 + 10.8810i) q^{48} +(-0.809017 - 0.587785i) q^{49} +(15.9317 + 11.5751i) q^{50} +(-0.935354 + 2.87873i) q^{51} +(0.926218 + 2.85060i) q^{52} +(4.04982 - 2.94237i) q^{53} +2.92926 q^{54} +(-5.88941 + 12.1328i) q^{55} +1.85331 q^{56} +(-4.00768 + 2.91175i) q^{57} +(0.128774 + 0.396325i) q^{58} +(-0.303947 + 0.935452i) q^{59} +(-6.89329 - 5.00827i) q^{60} +(-1.49402 - 1.08547i) q^{61} +(3.62414 - 11.1540i) q^{62} +(0.695665 + 2.14104i) q^{63} +(-1.42591 + 1.03598i) q^{64} +13.3292 q^{65} +(5.66590 - 11.6723i) q^{66} -3.00700 q^{67} +(0.977133 - 0.709928i) q^{68} +(-1.32145 - 4.06700i) q^{69} +(-2.14518 + 6.60218i) q^{70} +(-5.23953 - 3.80674i) q^{71} +(-3.37538 - 2.45236i) q^{72} +(-2.98252 + 9.17926i) q^{73} +(-0.134850 - 0.415025i) q^{74} +(-21.3855 + 15.5375i) q^{75} +1.97668 q^{76} +(-3.28521 - 0.455425i) q^{77} -12.8234 q^{78} +(4.47750 - 3.25310i) q^{79} +(-6.27368 - 19.3084i) q^{80} +(-3.30205 + 10.1627i) q^{81} +(-7.91704 - 5.75206i) q^{82} +(-1.67485 - 1.21685i) q^{83} +(0.647507 - 1.99282i) q^{84} +(-1.65979 - 5.10831i) q^{85} +(-11.0736 + 8.04542i) q^{86} -0.559372 q^{87} +(5.42181 - 2.89588i) q^{88} +16.6306 q^{89} +(12.6432 - 9.18581i) q^{90} +(1.01293 + 3.11749i) q^{91} +(-0.527294 + 1.62284i) q^{92} +(12.7361 + 9.25333i) q^{93} +(-5.61795 - 4.08168i) q^{94} +(2.71640 - 8.36023i) q^{95} +(3.41082 + 10.4974i) q^{96} +(2.09179 - 1.51977i) q^{97} -1.70716 q^{98} +(5.38063 + 5.17655i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9}+O(q^{10}) \) 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9	\( 16 q - 3 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} + 3 q^{6} - 4 q^{7} - 5 q^{8} - 12 q^{9} + 12 q^{10} - 3 q^{11} + 18 q^{12} - 7 q^{13} + 2 q^{14} - 18 q^{15} + 17 q^{16} - 5 q^{17} + 11 q^{18} + 19 q^{19} + q^{20} + 8 q^{21} - 33 q^{22} + 32 q^{23} - 35 q^{24} + 7 q^{25} - 27 q^{26} + 10 q^{27} + 4 q^{28} + 3 q^{29} - 2 q^{30} - 7 q^{31} + 32 q^{32} - 26 q^{33} - 24 q^{34} - 5 q^{35} + 52 q^{36} + 4 q^{37} - 5 q^{38} + 11 q^{39} - 10 q^{40} - 10 q^{41} + 3 q^{42} - 8 q^{43} - 38 q^{44} + 70 q^{45} - 42 q^{46} - 23 q^{47} - 36 q^{48} - 4 q^{49} + 52 q^{50} - 29 q^{51} + 33 q^{52} + 4 q^{53} + 60 q^{54} - 12 q^{55} - 11 q^{57} + 20 q^{58} + 17 q^{59} - 30 q^{60} - 7 q^{61} + 79 q^{62} - 2 q^{63} + 7 q^{64} - 8 q^{65} + 8 q^{66} - 38 q^{67} - 2 q^{68} + 10 q^{69} - 18 q^{70} - 14 q^{71} - 35 q^{73} - 29 q^{74} + 9 q^{75} + 52 q^{76} - 3 q^{77} - 58 q^{78} + 15 q^{79} - 87 q^{80} - 14 q^{81} + 19 q^{82} + 5 q^{83} + 8 q^{84} + 6 q^{85} - 52 q^{86} - 72 q^{87} + 55 q^{88} + 74 q^{89} - 14 q^{90} + 13 q^{91} - 55 q^{92} + 32 q^{93} - 24 q^{94} + 32 q^{95} - 42 q^{96} + 20 q^{97} + 2 q^{98} + 16 q^{99}+O(q^{100}) \) 16 * q - 3 * q^2 - 2 * q^3 - 11 * q^4 - 5 * q^5 + 3 * q^6 - 4 * q^7 - 5 * q^8 - 12 * q^9 + 12 * q^10 - 3 * q^11 + 18 * q^12 - 7 * q^13 + 2 * q^14 - 18 * q^15 + 17 * q^16 - 5 * q^17 + 11 * q^18 + 19 * q^19 + q^20 + 8 * q^21 - 33 * q^22 + 32 * q^23 - 35 * q^24 + 7 * q^25 - 27 * q^26 + 10 * q^27 + 4 * q^28 + 3 * q^29 - 2 * q^30 - 7 * q^31 + 32 * q^32 - 26 * q^33 - 24 * q^34 - 5 * q^35 + 52 * q^36 + 4 * q^37 - 5 * q^38 + 11 * q^39 - 10 * q^40 - 10 * q^41 + 3 * q^42 - 8 * q^43 - 38 * q^44 + 70 * q^45 - 42 * q^46 - 23 * q^47 - 36 * q^48 - 4 * q^49 + 52 * q^50 - 29 * q^51 + 33 * q^52 + 4 * q^53 + 60 * q^54 - 12 * q^55 - 11 * q^57 + 20 * q^58 + 17 * q^59 - 30 * q^60 - 7 * q^61 + 79 * q^62 - 2 * q^63 + 7 * q^64 - 8 * q^65 + 8 * q^66 - 38 * q^67 - 2 * q^68 + 10 * q^69 - 18 * q^70 - 14 * q^71 - 35 * q^73 - 29 * q^74 + 9 * q^75 + 52 * q^76 - 3 * q^77 - 58 * q^78 + 15 * q^79 - 87 * q^80 - 14 * q^81 + 19 * q^82 + 5 * q^83 + 8 * q^84 + 6 * q^85 - 52 * q^86 - 72 * q^87 + 55 * q^88 + 74 * q^89 - 14 * q^90 + 13 * q^91 - 55 * q^92 + 32 * q^93 - 24 * q^94 + 32 * q^95 - 42 * q^96 + 20 * q^97 + 2 * q^98 + 16 * q^99

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