LMFDB - Embedded newform 350.2.h.d.281.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([6, 0]))

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.h (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:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + \cdots + 400 $ x^20 - 3x^19 + 15x^18 - 30x^17 + 145x^16 - 194x^15 + 1187x^14 - 1490x^13 + 10170x^12 - 13920x^11 + 42087x^10 - 591x^9 + 65635x^8 + 120715x^7 + 257180x^6 + 306283x^5 + 246171x^4 + 99850x^3 + 26260x^2 + 4200*x + 400
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			281.1
Root			$-2.31300 + 1.68049i$ of defining polynomial
Character	$\chi$	$=$	350.281
Dual form			350.2.h.d.71.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.309017 - 0.951057i) q^{2} +(-2.31300 + 1.68049i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.771064 + 2.09892i) q^{5} +(2.31300 + 1.68049i) q^{6} +1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(1.59885 - 4.92077i) q^{9} +O(q^{10})$	\(q+(-0.309017 - 0.951057i) q^{2} +(-2.31300 + 1.68049i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.771064 + 2.09892i) q^{5} +(2.31300 + 1.68049i) q^{6} +1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(1.59885 - 4.92077i) q^{9} +(2.23446 + 0.0847237i) q^{10} +(-0.391716 - 1.20558i) q^{11} +(0.883486 - 2.71909i) q^{12} +(-1.70643 + 5.25186i) q^{13} +(-0.309017 - 0.951057i) q^{14} +(-1.74374 - 6.15056i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.52736 - 2.56278i) q^{17} -5.17400 q^{18} +(-4.97547 - 3.61489i) q^{19} +(-0.609910 - 2.15128i) q^{20} +(-2.31300 + 1.68049i) q^{21} +(-1.02553 + 0.745088i) q^{22} +(-1.43097 - 4.40408i) q^{23} -2.85902 q^{24} +(-3.81092 - 3.23680i) q^{25} +5.52214 q^{26} +(1.92070 + 5.91130i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(4.35934 - 3.16724i) q^{29} +(-5.31068 + 3.55903i) q^{30} +(-2.00881 - 1.45949i) q^{31} -1.00000 q^{32} +(2.93200 + 2.13022i) q^{33} +(-1.34733 + 4.14667i) q^{34} +(-0.771064 + 2.09892i) q^{35} +(1.59885 + 4.92077i) q^{36} +(-2.79860 + 8.61322i) q^{37} +(-1.90046 + 5.84901i) q^{38} +(-4.87873 - 15.0152i) q^{39} +(-1.85752 + 1.24484i) q^{40} +(0.287413 - 0.884566i) q^{41} +(2.31300 + 1.68049i) q^{42} +7.47057 q^{43} +(1.02553 + 0.745088i) q^{44} +(9.09547 + 7.15009i) q^{45} +(-3.74634 + 2.72187i) q^{46} +(0.268561 - 0.195121i) q^{47} +(0.883486 + 2.71909i) q^{48} +1.00000 q^{49} +(-1.90074 + 4.62463i) q^{50} +12.4655 q^{51} +(-1.70643 - 5.25186i) q^{52} +(-7.82797 + 5.68735i) q^{53} +(5.02845 - 3.65339i) q^{54} +(2.83245 + 0.107397i) q^{55} +(0.809017 + 0.587785i) q^{56} +17.5830 q^{57} +(-4.35934 - 3.16724i) q^{58} +(3.30737 - 10.1790i) q^{59} +(5.02593 + 3.95096i) q^{60} +(0.856873 + 2.63718i) q^{61} +(-0.767297 + 2.36150i) q^{62} +(1.59885 - 4.92077i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-9.70746 - 7.63119i) q^{65} +(1.11992 - 3.44677i) q^{66} +(-6.62019 - 4.80985i) q^{67} +4.36006 q^{68} +(10.7109 + 7.78189i) q^{69} +(2.23446 + 0.0847237i) q^{70} +(-9.79502 + 7.11650i) q^{71} +(4.18585 - 3.04120i) q^{72} +(0.988928 + 3.04361i) q^{73} +9.05648 q^{74} +(14.2541 + 1.08249i) q^{75} +6.15001 q^{76} +(-0.391716 - 1.20558i) q^{77} +(-12.7727 + 9.27989i) q^{78} +(-12.4253 + 9.02749i) q^{79} +(1.75792 + 1.38193i) q^{80} +(-1.81889 - 1.32150i) q^{81} -0.930088 q^{82} +(-7.83222 - 5.69044i) q^{83} +(0.883486 - 2.71909i) q^{84} +(8.09889 - 5.42758i) q^{85} +(-2.30853 - 7.10493i) q^{86} +(-4.76061 + 14.6516i) q^{87} +(0.391716 - 1.20558i) q^{88} +(0.682001 + 2.09898i) q^{89} +(3.98948 - 10.8598i) q^{90} +(-1.70643 + 5.25186i) q^{91} +(3.74634 + 2.72187i) q^{92} +7.09902 q^{93} +(-0.268561 - 0.195121i) q^{94} +(11.4238 - 7.65579i) q^{95} +(2.31300 - 1.68049i) q^{96} +(-7.80686 + 5.67202i) q^{97} +(-0.309017 - 0.951057i) q^{98} -6.55867 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) $ 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{2}{5}\right)$

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 $

$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$2$	−0.309017	−	0.951057i	−0.218508	−	0.672499i
$3$	−2.31300	+	1.68049i	−1.33541	+	0.970232i	−0.335810	+	0.941930i	$0.609010\pi$
$3$	−2.31300	+	1.68049i	−1.33541	+	0.970232i	−0.999599	+	0.0283016i	$0.990990\pi$
$4$	−0.809017	+	0.587785i	−0.404508	+	0.293893i
$5$	−0.771064	+	2.09892i	−0.344830	+	0.938665i
$5$	−0.771064	+	2.09892i	−0.344830	+	0.938665i
$6$	2.31300	+	1.68049i	0.944277	+	0.686057i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	0.809017	+	0.587785i	0.286031	+	0.207813i
$9$	1.59885	−	4.92077i	0.532951	−	1.64026i
$10$	2.23446	+	0.0847237i	0.706599	+	0.0267920i
$11$	−0.391716	−	1.20558i	−0.118107	−	0.363495i	0.874476	−	0.485070i	$-0.161206\pi$
$11$	−0.391716	−	1.20558i	−0.118107	−	0.363495i	−0.992582	+	0.121574i	$0.961206\pi$
$12$	0.883486	−	2.71909i	0.255040	−	0.784934i
$13$	−1.70643	+	5.25186i	−0.473280	+	1.45660i	0.374984	+	0.927031i	$0.377648\pi$
$13$	−1.70643	+	5.25186i	−0.473280	+	1.45660i	−0.848264	+	0.529574i	$0.822352\pi$
$14$	−0.309017	−	0.951057i	−0.0825883	−	0.254181i
$15$	−1.74374	−	6.15056i	−0.450233	−	1.58807i
$16$	0.309017	−	0.951057i	0.0772542	−	0.237764i
$17$	−3.52736	−	2.56278i	−0.855511	−	0.621565i	0.0711487	−	0.997466i	$-0.477334\pi$
$17$	−3.52736	−	2.56278i	−0.855511	−	0.621565i	−0.926660	+	0.375900i	$0.877334\pi$
$18$	−5.17400			−1.21952
$19$	−4.97547	−	3.61489i	−1.14145	−	0.829312i	−0.154129	−	0.988051i	$-0.549257\pi$
$19$	−4.97547	−	3.61489i	−1.14145	−	0.829312i	−0.987321	+	0.158739i	$0.949257\pi$
$20$	−0.609910	−	2.15128i	−0.136380	−	0.481041i
$21$	−2.31300	+	1.68049i	−0.504737	+	0.366713i
$22$	−1.02553	+	0.745088i	−0.218643	+	0.158853i
$23$	−1.43097	−	4.40408i	−0.298378	−	0.918315i	−0.982066	−	0.188539i	$-0.939625\pi$
$23$	−1.43097	−	4.40408i	−0.298378	−	0.918315i	0.683687	−	0.729775i	$-0.260375\pi$
$24$	−2.85902			−0.583595
$25$	−3.81092	−	3.23680i	−0.762184	−	0.647360i
$26$	5.52214			1.08298
$27$	1.92070	+	5.91130i	0.369639	+	1.13763i
$28$	−0.809017	+	0.587785i	−0.152890	+	0.111081i
$29$	4.35934	−	3.16724i	0.809508	−	0.588142i	−0.104180	−	0.994558i	$-0.533222\pi$
$29$	4.35934	−	3.16724i	0.809508	−	0.588142i	0.913688	+	0.406416i	$0.133222\pi$
$30$	−5.31068	+	3.55903i	−0.969593	+	0.649786i
$31$	−2.00881	−	1.45949i	−0.360793	−	0.262131i	0.392590	−	0.919714i	$-0.371579\pi$
$31$	−2.00881	−	1.45949i	−0.360793	−	0.262131i	−0.753383	+	0.657582i	$0.771579\pi$
$32$	−1.00000			−0.176777
$33$	2.93200	+	2.13022i	0.510396	+	0.370824i
$34$	−1.34733	+	4.14667i	−0.231066	+	0.711147i
$35$	−0.771064	+	2.09892i	−0.130334	+	0.354782i
$36$	1.59885	+	4.92077i	0.266476	+	0.820128i
$37$	−2.79860	+	8.61322i	−0.460088	+	1.41600i	0.404969	+	0.914330i	$0.367282\pi$
$37$	−2.79860	+	8.61322i	−0.460088	+	1.41600i	−0.865057	+	0.501674i	$0.832718\pi$
$38$	−1.90046	+	5.84901i	−0.308295	+	0.948835i
$39$	−4.87873	−	15.0152i	−0.781222	−	2.40435i
$40$	−1.85752	+	1.24484i	−0.293699	+	0.196827i
$41$	0.287413	−	0.884566i	0.0448864	−	0.138146i	−0.926102	−	0.377274i	$-0.876862\pi$
$41$	0.287413	−	0.884566i	0.0448864	−	0.138146i	0.970988	+	0.239128i	$0.0768615\pi$
$42$	2.31300	+	1.68049i	0.356903	+	0.259305i
$43$	7.47057			1.13925			0.569625	−	0.821904i	$-0.307088\pi$
$43$	7.47057			1.13925			0.569625	+	0.821904i	$0.307088\pi$
$44$	1.02553	+	0.745088i	0.154604	+	0.112326i
$45$	9.09547	+	7.15009i	1.35587	+	1.06587i
$46$	−3.74634	+	2.72187i	−0.552367	+	0.401318i
$47$	0.268561	−	0.195121i	0.0391737	−	0.0284613i	−0.568026	−	0.823011i	$-0.692293\pi$
$47$	0.268561	−	0.195121i	0.0391737	−	0.0284613i	0.607200	+	0.794549i	$0.292293\pi$
$48$	0.883486	+	2.71909i	0.127520	+	0.392467i
$49$	1.00000			0.142857
$50$	−1.90074	+	4.62463i	−0.268805	+	0.654021i
$51$	12.4655			1.74552
$52$	−1.70643	−	5.25186i	−0.236640	−	0.728302i
$53$	−7.82797	+	5.68735i	−1.07525	+	0.781218i	−0.976849	−	0.213929i	$-0.931374\pi$
$53$	−7.82797	+	5.68735i	−1.07525	+	0.781218i	−0.0984048	+	0.995146i	$0.531374\pi$
$54$	5.02845	−	3.65339i	0.684286	−	0.497163i
$55$	2.83245	+	0.107397i	0.381927	+	0.0144815i
$56$	0.809017	+	0.587785i	0.108109	+	0.0785461i
$57$	17.5830			2.32893
$58$	−4.35934	−	3.16724i	−0.572409	−	0.415879i
$59$	3.30737	−	10.1790i	0.430583	−	1.32520i	−0.466963	−	0.884277i	$-0.654652\pi$
$59$	3.30737	−	10.1790i	0.430583	−	1.32520i	0.897546	−	0.440921i	$-0.145348\pi$
$60$	5.02593	+	3.95096i	0.648844	+	0.510066i
$61$	0.856873	+	2.63718i	0.109711	+	0.337657i	0.990807	−	0.135281i	$-0.0431936\pi$
$61$	0.856873	+	2.63718i	0.109711	+	0.337657i	−0.881096	+	0.472938i	$0.843194\pi$
$62$	−0.767297	+	2.36150i	−0.0974468	+	0.299910i
$63$	1.59885	−	4.92077i	0.201437	−	0.619958i
$64$	0.309017	+	0.951057i	0.0386271	+	0.118882i
$65$	−9.70746	−	7.63119i	−1.20406	−	0.946532i
$66$	1.11992	−	3.44677i	0.137853	−	0.424268i
$67$	−6.62019	−	4.80985i	−0.808785	−	0.587616i	0.104693	−	0.994505i	$-0.466614\pi$
$67$	−6.62019	−	4.80985i	−0.808785	−	0.587616i	−0.913478	+	0.406888i	$0.866614\pi$
$68$	4.36006			0.528735
$69$	10.7109	+	7.78189i	1.28944	+	0.936829i
$70$	2.23446	+	0.0847237i	0.267069	+	0.0101264i
$71$	−9.79502	+	7.11650i	−1.16246	+	0.844573i	−0.990086	−	0.140459i	$-0.955142\pi$
$71$	−9.79502	+	7.11650i	−1.16246	+	0.844573i	−0.172369	+	0.985032i	$0.555142\pi$
$72$	4.18585	−	3.04120i	0.493308	−	0.358409i
$73$	0.988928	+	3.04361i	0.115745	+	0.356227i	0.992102	−	0.125436i	$-0.0400329\pi$
$73$	0.988928	+	3.04361i	0.115745	+	0.356227i	−0.876357	+	0.481663i	$0.840033\pi$
$74$	9.05648			1.05279
$75$	14.2541	+	1.08249i	1.64592	+	0.124995i
$76$	6.15001			0.705455
$77$	−0.391716	−	1.20558i	−0.0446402	−	0.137388i
$78$	−12.7727	+	9.27989i	−1.44622	+	1.05074i
$79$	−12.4253	+	9.02749i	−1.39795	+	1.01567i	−0.403014	+	0.915194i	$0.632037\pi$
$79$	−12.4253	+	9.02749i	−1.39795	+	1.01567i	−0.994939	+	0.100478i	$0.967963\pi$
$80$	1.75792	+	1.38193i	0.196541	+	0.154504i
$81$	−1.81889	−	1.32150i	−0.202099	−	0.146834i
$82$	−0.930088			−0.102711
$83$	−7.83222	−	5.69044i	−0.859697	−	0.624607i	0.0681052	−	0.997678i	$-0.478305\pi$
$83$	−7.83222	−	5.69044i	−0.859697	−	0.624607i	−0.927803	+	0.373071i	$0.878305\pi$
$84$	0.883486	−	2.71909i	0.0963962	−	0.296677i
$85$	8.09889	−	5.42758i	0.878448	−	0.588704i
$86$	−2.30853	−	7.10493i	−0.248935	−	0.766145i
$87$	−4.76061	+	14.6516i	−0.510391	+	1.57082i
$88$	0.391716	−	1.20558i	0.0417571	−	0.128515i
$89$	0.682001	+	2.09898i	0.0722920	+	0.222492i	0.980674	−	0.195650i	$-0.0626816\pi$
$89$	0.682001	+	2.09898i	0.0722920	+	0.222492i	−0.908382	+	0.418142i	$0.862682\pi$
$90$	3.98948	−	10.8598i	0.420529	−	1.14472i
$91$	−1.70643	+	5.25186i	−0.178883	+	0.550545i
$92$	3.74634	+	2.72187i	0.390583	+	0.283775i
$93$	7.09902			0.736134
$94$	−0.268561	−	0.195121i	−0.0277000	−	0.0201252i
$95$	11.4238	−	7.65579i	1.17205	−	0.785467i
$96$	2.31300	−	1.68049i	0.236069	−	0.171514i
$97$	−7.80686	+	5.67202i	−0.792667	+	0.575906i	−0.908754	−	0.417333i	$-0.862965\pi$
$97$	−7.80686	+	5.67202i	−0.792667	+	0.575906i	0.116087	+	0.993239i	$0.462965\pi$
$98$	−0.309017	−	0.951057i	−0.0312154	−	0.0960712i
$99$	−6.55867			−0.659171
$100$	4.98564	+	0.378624i	0.498564	+	0.0378624i
$101$	3.76534			0.374665			0.187333	−	0.982297i	$-0.440016\pi$
$101$	3.76534			0.374665			0.187333	+	0.982297i	$0.440016\pi$
$102$	−3.85205	−	11.8554i	−0.381410	−	1.17386i
$103$	−0.403121	+	0.292885i	−0.0397207	+	0.0288588i	−0.607468	−	0.794344i	$-0.707815\pi$
$103$	−0.403121	+	0.292885i	−0.0397207	+	0.0288588i	0.567748	+	0.823203i	$0.307815\pi$
$104$	−4.46750	+	3.24583i	−0.438075	+	0.318280i
$105$	−1.74374	−	6.15056i	−0.170172	−	0.600233i
$106$	7.82797	+	5.68735i	0.760319	+	0.552404i
$107$	−10.0625			−0.972782			−0.486391	−	0.873741i	$-0.661687\pi$
$107$	−10.0625			−0.972782			−0.486391	+	0.873741i	$0.661687\pi$
$108$	−5.02845	−	3.65339i	−0.483863	−	0.351547i
$109$	−5.53438	+	17.0331i	−0.530097	+	1.63147i	0.223914	+	0.974609i	$0.428117\pi$
$109$	−5.53438	+	17.0331i	−0.530097	+	1.63147i	−0.754011	+	0.656862i	$0.771883\pi$
$110$	−0.773134	−	2.72701i	−0.0737154	−	0.260010i
$111$	−8.00127	−	24.6254i	−0.759447	−	2.33734i
$112$	0.309017	−	0.951057i	0.0291994	−	0.0898664i
$113$	5.97834	−	18.3994i	0.562395	−	1.73087i	−0.113173	−	0.993575i	$-0.536101\pi$
$113$	5.97834	−	18.3994i	0.562395	−	1.73087i	0.675568	−	0.737298i	$-0.263899\pi$
$114$	−5.43345	−	16.7224i	−0.508889	−	1.56620i
$115$	10.3472	+	0.392332i	0.964880	+	0.0365851i
$116$	−1.66512	+	5.12471i	−0.154602	+	0.475817i
$117$	23.1149	+	16.7939i	2.13697	+	1.55260i
$118$	−10.7029			−0.985279
$119$	−3.52736	−	2.56278i	−0.323353	−	0.234930i
$120$	2.20449	−	6.00085i	0.201241	−	0.547800i
$121$	7.59921	−	5.52115i	0.690837	−	0.501923i
$122$	2.24332	−	1.62987i	0.203101	−	0.147561i
$123$	0.821720	+	2.52899i	0.0740920	+	0.228032i
$124$	2.48302			0.222982
$125$	9.73225	−	5.50303i	0.870479	−	0.492206i
$126$	−5.17400			−0.460937
$127$	2.31353	+	7.12030i	0.205292	+	0.631825i	0.999701	+	0.0244415i	$0.00778074\pi$
$127$	2.31353	+	7.12030i	0.205292	+	0.631825i	−0.794409	+	0.607383i	$0.792219\pi$
$128$	0.809017	−	0.587785i	0.0715077	−	0.0519534i
$129$	−17.2794	+	12.5542i	−1.52137	+	1.10534i
$130$	−4.25792	+	11.5905i	−0.373444	+	1.01656i
$131$	−1.31803	−	0.957603i	−0.115157	−	0.0836661i	0.528716	−	0.848799i	$-0.322673\pi$
$131$	−1.31803	−	0.957603i	−0.115157	−	0.0836661i	−0.643873	+	0.765132i	$0.722673\pi$
$132$	−3.62415			−0.315442
$133$	−4.97547	−	3.61489i	−0.431428	−	0.313450i
$134$	−2.52869	+	7.78250i	−0.218445	+	0.672305i
$135$	−13.8883	−	0.526601i	−1.19532	−	0.0453226i
$136$	−1.34733	−	4.14667i	−0.115533	−	0.355574i
$137$	−3.00777	+	9.25697i	−0.256971	+	0.790876i	0.736464	+	0.676477i	$0.236494\pi$
$137$	−3.00777	+	9.25697i	−0.256971	+	0.790876i	−0.993435	+	0.114399i	$0.963506\pi$
$138$	4.09118	−	12.5914i	0.348265	−	1.07185i
$139$	6.53084	+	20.0999i	0.553939	+	1.70485i	0.698730	+	0.715386i	$0.253749\pi$
$139$	6.53084	+	20.0999i	0.553939	+	1.70485i	−0.144791	+	0.989462i	$0.546251\pi$
$140$	−0.609910	−	2.15128i	−0.0515468	−	0.181816i
$141$	−0.293282	+	0.902629i	−0.0246988	+	0.0760151i
$142$	9.79502	+	7.11650i	0.821980	+	0.597203i
$143$	6.99997			0.585367
$144$	−4.18585	−	3.04120i	−0.348821	−	0.253433i
$145$	3.28646	+	11.5920i	0.272926	+	0.962666i
$146$	2.58905	−	1.88105i	0.214271	−	0.155677i
$147$	−2.31300	+	1.68049i	−0.190773	+	0.138605i
$148$	−2.79860	−	8.61322i	−0.230044	−	0.708002i
$149$	−17.8056			−1.45869			−0.729347	−	0.684144i	$-0.760176\pi$
$149$	−17.8056			−1.45869			−0.729347	+	0.684144i	$0.760176\pi$
$150$	−3.37523	−	13.8909i	−0.275587	−	1.13419i
$151$	16.0073			1.30266			0.651329	−	0.758795i	$-0.274212\pi$
$151$	16.0073			1.30266			0.651329	+	0.758795i	$0.274212\pi$
$152$	−1.90046	−	5.84901i	−0.154148	−	0.474417i
$153$	−18.2506	+	13.2598i	−1.47547	+	1.07199i
$154$	−1.02553	+	0.745088i	−0.0826392	+	0.0600409i
$155$	4.61226	−	3.09097i	0.370466	−	0.248273i
$156$	12.7727	+	9.27989i	1.02263	+	0.742986i
$157$	−8.66863			−0.691832			−0.345916	−	0.938265i	$-0.612432\pi$
$157$	−8.66863			−0.691832			−0.345916	+	0.938265i	$0.612432\pi$
$158$	12.4253	+	9.02749i	0.988502	+	0.718189i
$159$	8.54852	−	26.3096i	0.677942	−	2.08649i
$160$	0.771064	−	2.09892i	0.0609579	−	0.165934i
$161$	−1.43097	−	4.40408i	−0.112776	−	0.347090i
$162$	−0.694755	+	2.13824i	−0.0545851	+	0.167996i
$163$	0.200491	−	0.617046i	0.0157036	−	0.0483308i	−0.942898	−	0.333083i	$-0.891911\pi$
$163$	0.200491	−	0.617046i	0.0157036	−	0.0483308i	0.958601	+	0.284752i	$0.0919112\pi$
$164$	0.287413	+	0.884566i	0.0224432	+	0.0690730i
$165$	−6.73192	+	4.51149i	−0.524080	+	0.351219i
$166$	−2.99164	+	9.20732i	−0.232196	+	0.714627i
$167$	−4.13892	−	3.00710i	−0.320279	−	0.232696i	0.416015	−	0.909358i	$-0.363426\pi$
$167$	−4.13892	−	3.00710i	−0.320279	−	0.232696i	−0.736295	+	0.676661i	$0.763426\pi$
$168$	−2.85902			−0.220578
$169$	−14.1529	−	10.2827i	−1.08869	−	0.790977i
$170$	−7.66463	−	6.02529i	−0.587851	−	0.462118i
$171$	−25.7431	+	18.7034i	−1.96862	+	1.43029i
$172$	−6.04382	+	4.39109i	−0.460837	+	0.334817i
$173$	3.21833	+	9.90499i	0.244685	+	0.753062i	0.995688	+	0.0927639i	$0.0295702\pi$
$173$	3.21833	+	9.90499i	0.244685	+	0.753062i	−0.751003	+	0.660298i	$0.770430\pi$
$174$	15.4056			1.16790
$175$	−3.81092	−	3.23680i	−0.288079	−	0.244679i
$176$	−1.26762			−0.0955504
$177$	9.45583	+	29.1021i	0.710744	+	2.18745i
$178$	1.78550	−	1.29724i	0.133829	−	0.0972325i
$179$	−0.770170	+	0.559562i	−0.0575652	+	0.0418236i	−0.616196	−	0.787593i	$-0.711327\pi$
$179$	−0.770170	+	0.559562i	−0.0575652	+	0.0418236i	0.558631	+	0.829417i	$0.311327\pi$
$180$	−11.5611	−	0.438360i	−0.861714	−	0.0326734i
$181$	−16.5223	−	12.0041i	−1.22809	−	0.892261i	−0.231346	−	0.972871i	$-0.574313\pi$
$181$	−16.5223	−	12.0041i	−1.22809	−	0.892261i	−0.996746	+	0.0806102i	$0.974313\pi$
$182$	5.52214			0.409328
$183$	−6.41371	−	4.65983i	−0.474115	−	0.344465i
$184$	1.43097	−	4.40408i	0.105493	−	0.324673i
$185$	−15.9205	−	12.5154i	−1.17050	−	0.920150i
$186$	−2.19372	−	6.75157i	−0.160851	−	0.495049i
$187$	−1.70791	+	5.25640i	−0.124894	+	0.384386i
$188$	−0.102581	+	0.315713i	−0.00748151	+	0.0230257i
$189$	1.92070	+	5.91130i	0.139710	+	0.429984i
$190$	−10.8112	−	8.49887i	−0.784329	−	0.616573i
$191$	−6.52598	+	20.0849i	−0.472203	+	1.45329i	0.377489	+	0.926014i	$0.376788\pi$
$191$	−6.52598	+	20.0849i	−0.472203	+	1.45329i	−0.849693	+	0.527278i	$0.823212\pi$
$192$	−2.31300	−	1.68049i	−0.166926	−	0.121279i
$193$	−2.08587			−0.150144			−0.0750721	−	0.997178i	$-0.523919\pi$
$193$	−2.08587			−0.150144			−0.0750721	+	0.997178i	$0.523919\pi$
$194$	7.80686	+	5.67202i	0.560500	+	0.407227i
$195$	35.2775	+	1.33761i	2.52627	+	0.0957881i
$196$	−0.809017	+	0.587785i	−0.0577869	+	0.0419847i
$197$	13.3654	−	9.71054i	0.952246	−	0.691847i	0.000909239	−	1.00000i	$-0.499711\pi$
$197$	13.3654	−	9.71054i	0.952246	−	0.691847i	0.951337	+	0.308152i	$0.0997106\pi$
$198$	2.02674	+	6.23766i	0.144034	+	0.443291i
$199$	3.82105			0.270867			0.135434	−	0.990786i	$-0.456757\pi$
$199$	3.82105			0.270867			0.135434	+	0.990786i	$0.456757\pi$
$200$	−1.18056	−	4.85863i	−0.0834779	−	0.343557i
$201$	23.3954			1.65018
$202$	−1.16355	−	3.58105i	−0.0818674	−	0.251962i
$203$	4.35934	−	3.16724i	0.305965	−	0.222297i
$204$	−10.0848	+	7.32704i	−0.706078	+	0.512996i
$205$	1.63502	+	1.28531i	0.114195	+	0.0897702i
$206$	0.403121	+	0.292885i	0.0280868	+	0.0204063i
$207$	−23.9594			−1.66529
$208$	4.46750	+	3.24583i	0.309765	+	0.225058i
$209$	−2.40906	+	7.41432i	−0.166638	+	0.512859i
$210$	−5.31068	+	3.55903i	−0.366472	+	0.245596i
$211$	4.85059	+	14.9286i	0.333928	+	1.02773i	0.967247	+	0.253835i	$0.0816921\pi$
$211$	4.85059	+	14.9286i	0.333928	+	1.02773i	−0.633319	+	0.773891i	$0.718308\pi$
$212$	2.99002	−	9.20233i	0.205355	−	0.632019i
$213$	10.6966	−	32.9209i	0.732922	−	2.25570i
$214$	3.10949	+	9.57004i	0.212561	+	0.654194i
$215$	−5.76028	+	15.6801i	−0.392848	+	1.06938i
$216$	−1.92070	+	5.91130i	−0.130687	+	0.402213i
$217$	−2.00881	−	1.45949i	−0.136367	−	0.0990763i
$218$	17.9096			1.21299
$219$	−7.40214	−	5.37797i	−0.500190	−	0.363409i
$220$	−2.35463	+	1.57799i	−0.158749	+	0.106388i
$221$	19.4786	−	14.1520i	1.31027	−	0.951968i
$222$	−20.9476	+	15.2193i	−1.40591	+	1.02145i
$223$	−4.68959	−	14.4331i	−0.314038	−	0.966510i	−0.976149	−	0.217104i	$-0.930339\pi$
$223$	−4.68959	−	14.4331i	−0.314038	−	0.966510i	0.662110	−	0.749406i	$-0.269661\pi$
$224$	−1.00000			−0.0668153
$225$	−22.0206	+	13.5775i	−1.46804	+	0.905165i
$226$	−19.3463			−1.28690
$227$	−2.95101	−	9.08229i	−0.195866	−	0.602812i	−0.999965	−	0.00831807i	$-0.997352\pi$
$227$	−2.95101	−	9.08229i	−0.195866	−	0.602812i	0.804100	−	0.594494i	$-0.202648\pi$
$228$	−14.2250	+	10.3350i	−0.942071	+	0.684455i
$229$	−7.11057	+	5.16613i	−0.469880	+	0.341388i	−0.797394	−	0.603458i	$-0.793789\pi$
$229$	−7.11057	+	5.16613i	−0.469880	+	0.341388i	0.327515	+	0.944846i	$0.393789\pi$
$230$	−2.82433	−	9.96199i	−0.186231	−	0.656874i
$231$	2.93200	+	2.13022i	0.192911	+	0.140158i
$232$	5.38844			0.353768
$233$	18.7520	+	13.6242i	1.22849	+	0.892548i	0.996776	−	0.0802360i	$-0.0255674\pi$
$233$	18.7520	+	13.6242i	1.22849	+	0.892548i	0.231712	+	0.972784i	$0.425567\pi$
$234$	8.82909	−	27.1731i	0.577176	−	1.77636i
$235$	0.202466	+	0.714139i	0.0132074	+	0.0465853i
$236$	3.30737	+	10.1790i	0.215291	+	0.662599i
$237$	13.5690	−	41.7611i	0.881402	−	2.71268i
$238$	−1.34733	+	4.14667i	−0.0873346	+	0.268788i
$239$	−4.36666	−	13.4392i	−0.282456	−	0.869310i	−0.987150	−	0.159799i	$-0.948916\pi$
$239$	−4.36666	−	13.4392i	−0.282456	−	0.869310i	0.704694	−	0.709512i	$-0.251084\pi$
$240$	−6.38837	−	0.242227i	−0.412368	−	0.0156357i
$241$	4.51845	−	13.9064i	0.291059	−	0.895788i	−0.693458	−	0.720497i	$-0.743914\pi$
$241$	4.51845	−	13.9064i	0.291059	−	0.895788i	0.984517	−	0.175290i	$-0.0560864\pi$
$242$	−7.59921	−	5.52115i	−0.488496	−	0.354913i
$243$	−12.2187			−0.783828
$244$	−2.24332	−	1.62987i	−0.143614	−	0.104342i
$245$	−0.771064	+	2.09892i	−0.0492615	+	0.134095i
$246$	2.15129	−	1.56300i	0.137161	−	0.0996535i
$247$	27.4752	−	19.9619i	1.74820	−	1.27015i
$248$	−0.767297	−	2.36150i	−0.0487234	−	0.149955i
$249$	27.6786			1.75406
$250$	−8.24113	−	7.55538i	−0.521215	−	0.477844i
$251$	5.69931			0.359737			0.179869	−	0.983691i	$-0.442433\pi$
$251$	5.69931			0.359737			0.179869	+	0.983691i	$0.442433\pi$
$252$	1.59885	+	4.92077i	0.100718	+	0.309979i
$253$	−4.74893	+	3.45030i	−0.298563	+	0.216918i
$254$	6.05689	−	4.40059i	0.380043	−	0.276118i
$255$	−9.61170	+	26.1641i	−0.601908	+	1.63846i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−21.1095			−1.31678			−0.658388	−	0.752678i	$-0.728761\pi$
$257$	−21.1095			−1.31678			−0.658388	+	0.752678i	$0.728761\pi$
$258$	17.2794	+	12.5542i	1.07577	+	0.781591i
$259$	−2.79860	+	8.61322i	−0.173897	+	0.535199i
$260$	12.3390	+	0.467855i	0.765232	+	0.0290152i
$261$	−8.61532	−	26.5152i	−0.533275	−	1.64125i
$262$	−0.503442	+	1.54943i	−0.0311027	+	0.0957243i
$263$	4.41728	−	13.5950i	0.272381	−	0.838304i	−0.717519	−	0.696539i	$-0.754722\pi$
$263$	4.41728	−	13.5950i	0.272381	−	0.838304i	0.989900	−	0.141765i	$-0.0452777\pi$
$264$	1.11992	+	3.44677i	0.0689266	+	0.212134i
$265$	−5.90143	−	20.8156i	−0.362522	−	1.27869i
$266$	−1.90046	+	5.84901i	−0.116525	+	0.358626i
$267$	−5.10479	−	3.70885i	−0.312408	−	0.226978i
$268$	8.18300			0.499856
$269$	21.0884	+	15.3216i	1.28578	+	0.934176i	0.999711	−	0.0240323i	$-0.00765047\pi$
$269$	21.0884	+	15.3216i	1.28578	+	0.934176i	0.286072	+	0.958208i	$0.407650\pi$
$270$	3.79090	+	13.3713i	0.230707	+	0.813752i
$271$	−12.9511	+	9.40955i	−0.786726	+	0.571590i	−0.906990	−	0.421152i	$-0.861626\pi$
$271$	−12.9511	+	9.40955i	−0.786726	+	0.571590i	0.120264	+	0.992742i	$0.461626\pi$
$272$	−3.52736	+	2.56278i	−0.213878	+	0.155391i
$273$	−4.87873	−	15.0152i	−0.295274	−	0.908760i
$274$	9.73335			0.588013
$275$	−2.40942	+	5.86227i	−0.145293	+	0.353508i
$276$	−13.2393			−0.796915
$277$	−5.25301	−	16.1671i	−0.315623	−	0.971387i	−0.975497	−	0.220011i	$-0.929391\pi$
$277$	−5.25301	−	16.1671i	−0.315623	−	0.971387i	0.659874	−	0.751376i	$-0.270609\pi$
$278$	17.0980	−	12.4224i	1.02547	−	0.745046i
$279$	−10.3936	+	7.55138i	−0.622247	+	0.452089i
$280$	−1.85752	+	1.24484i	−0.111008	+	0.0743935i
$281$	−9.71364	−	7.05737i	−0.579467	−	0.421008i	0.259065	−	0.965860i	$-0.416586\pi$
$281$	−9.71364	−	7.05737i	−0.579467	−	0.421008i	−0.838532	+	0.544852i	$0.816586\pi$
$282$	0.949080			0.0565169
$283$	−6.63883	−	4.82339i	−0.394638	−	0.286721i	0.372716	−	0.927946i	$-0.378427\pi$
$283$	−6.63883	−	4.82339i	−0.394638	−	0.286721i	−0.767353	+	0.641225i	$0.778427\pi$
$284$	3.74137	−	11.5147i	0.222009	−	0.683274i
$285$	−13.5576	+	36.9053i	−0.803085	+	2.18608i
$286$	−2.16311	−	6.65737i	−0.127907	−	0.393658i
$287$	0.287413	−	0.884566i	0.0169655	−	0.0522143i
$288$	−1.59885	+	4.92077i	−0.0942134	+	0.289959i
$289$	0.621167	+	1.91176i	0.0365392	+	0.112456i
$290$	10.0091	−	6.70775i	0.587755	−	0.393892i
$291$	8.52547	−	26.2387i	0.499772	−	1.53814i
$292$	−2.58905	−	1.88105i	−0.151512	−	0.110080i
$293$	3.64261			0.212803			0.106402	−	0.994323i	$-0.466067\pi$
$293$	3.64261			0.212803			0.106402	+	0.994323i	$0.466067\pi$
$294$	2.31300	+	1.68049i	0.134897	+	0.0980082i
$295$	18.8148	+	14.7906i	1.09544	+	0.861141i
$296$	−7.32684	+	5.32326i	−0.425864	+	0.309408i
$297$	6.37417	−	4.63110i	0.369867	−	0.268724i
$298$	5.50224	+	16.9342i	0.318736	+	0.980969i
$299$	25.5715			1.47884
$300$	−12.1680	+	7.50257i	−0.702523	+	0.433161i
$301$	7.47057			0.430596
$302$	−4.94654	−	15.2239i	−0.284641	−	0.876036i
$303$	−8.70922	+	6.32762i	−0.500331	+	0.363512i
$304$	−4.97547	+	3.61489i	−0.285363	+	0.207328i
$305$	−6.19594	−	0.234930i	−0.354779	−	0.0134521i
$306$	18.2506	+	13.2598i	1.04332	+	0.758014i
$307$	−19.6724			−1.12276			−0.561381	−	0.827557i	$-0.689730\pi$
$307$	−19.6724			−1.12276			−0.561381	+	0.827557i	$0.689730\pi$
$308$	1.02553	+	0.745088i	0.0584348	+	0.0424553i
$309$	0.440228	−	1.35488i	0.0250437	−	0.0770766i
$310$	−4.36495	−	3.43136i	−0.247913	−	0.194888i
$311$	8.37918	+	25.7885i	0.475140	+	1.46233i	0.845769	+	0.533549i	$0.179142\pi$
$311$	8.37918	+	25.7885i	0.475140	+	1.46233i	−0.370629	+	0.928781i	$0.620858\pi$
$312$	4.87873	−	15.0152i	0.276204	−	0.850067i
$313$	7.10407	−	21.8641i	0.401546	−	1.23583i	−0.522199	−	0.852823i	$-0.674888\pi$
$313$	7.10407	−	21.8641i	0.401546	−	1.23583i	0.923745	−	0.383008i	$-0.125112\pi$
$314$	2.67875	+	8.24436i	0.151171	+	0.465256i
$315$	9.09547	+	7.15009i	0.512472	+	0.402862i
$316$	4.74603	−	14.6068i	0.266985	−	0.821696i
$317$	1.11061	+	0.806902i	0.0623778	+	0.0453201i	0.618537	−	0.785756i	$-0.287726\pi$
$317$	1.11061	+	0.806902i	0.0623778	+	0.0453201i	−0.556159	+	0.831076i	$0.687726\pi$
$318$	−27.6636			−1.55130
$319$	−5.52598	−	4.01486i	−0.309396	−	0.224789i
$320$	−2.23446	−	0.0847237i	−0.124910	−	0.00473620i
$321$	23.2746	−	16.9100i	1.29906	−	0.943824i
$322$	−3.74634	+	2.72187i	−0.208775	+	0.151684i
$323$	8.28612	+	25.5020i	0.461052	+	1.41897i
$324$	2.24828			0.124904
$325$	23.5023	−	14.4910i	1.30367	−	0.803819i
$326$	−0.648801			−0.0359338
$327$	−15.8229	−	48.6979i	−0.875008	−	2.69300i
$328$	0.752457	−	0.546692i	0.0415475	−	0.0301860i
$329$	0.268561	−	0.195121i	0.0148063	−	0.0107574i
$330$	6.37096	+	5.00831i	0.350710	+	0.275699i
$331$	25.3212	+	18.3969i	1.39178	+	1.01119i	0.995667	+	0.0929856i	$0.0296410\pi$
$331$	25.3212	+	18.3969i	1.39178	+	1.01119i	0.396113	+	0.918202i	$0.370359\pi$
$332$	9.68115			0.531322
$333$	37.9091	+	27.5426i	2.07741	+	1.50932i
$334$	−1.58093	+	4.86559i	−0.0865045	+	0.266233i
$335$	15.2001	−	10.1865i	0.830468	−	0.556550i
$336$	0.883486	+	2.71909i	0.0481981	+	0.148339i
$337$	−3.60560	+	11.0969i	−0.196409	+	0.604486i	0.803548	+	0.595240i	$0.202943\pi$
$337$	−3.60560	+	11.0969i	−0.196409	+	0.604486i	−0.999957	+	0.00924595i	$0.997057\pi$
$338$	−5.40594	+	16.6378i	−0.294044	+	0.904975i
$339$	17.0922	+	52.6044i	0.928321	+	2.85708i
$340$	−3.36189	+	9.15142i	−0.182324	+	0.496305i
$341$	−0.972641	+	2.99348i	−0.0526714	+	0.162106i
$342$	25.7431	+	18.7034i	1.39203	+	1.01137i
$343$	1.00000			0.0539949
$344$	6.04382	+	4.39109i	0.325861	+	0.236752i
$345$	−24.5923	+	16.4809i	−1.32401	+	0.887301i
$346$	8.42568	−	6.12162i	0.452968	−	0.329100i
$347$	−18.1858	+	13.2128i	−0.976267	+	0.709300i	−0.956871	−	0.290512i	$-0.906174\pi$
$347$	−18.1858	+	13.2128i	−0.976267	+	0.709300i	−0.0193960	+	0.999812i	$0.506174\pi$
$348$	−4.76061	−	14.6516i	−0.255195	−	0.785411i
$349$	2.72533			0.145884			0.0729419	−	0.997336i	$-0.476761\pi$
$349$	2.72533			0.145884			0.0729419	+	0.997336i	$0.476761\pi$
$350$	−1.90074	+	4.62463i	−0.101599	+	0.247197i
$351$	−34.3229			−1.83202
$352$	0.391716	+	1.20558i	0.0208785	+	0.0642575i
$353$	0.337827	−	0.245446i	0.0179807	−	0.0130638i	−0.578759	−	0.815499i	$-0.696463\pi$
$353$	0.337827	−	0.245446i	0.0179807	−	0.0130638i	0.596739	+	0.802435i	$0.296463\pi$
$354$	24.7557	−	17.9861i	1.31575	−	0.955949i
$355$	−7.38437	−	26.0462i	−0.391922	−	1.38239i
$356$	−1.78550	−	1.29724i	−0.0946314	−	0.0687538i
$357$	12.4655			0.659745
$358$	0.770170	+	0.559562i	0.0407048	+	0.0295737i
$359$	2.71475	−	8.35513i	0.143279	−	0.440967i	−0.853507	−	0.521082i	$-0.825529\pi$
$359$	2.71475	−	8.35513i	0.143279	−	0.440967i	0.996786	+	0.0801147i	$0.0255286\pi$
$360$	3.15567	+	11.1307i	0.166319	+	0.586641i
$361$	5.81652	+	17.9014i	0.306133	+	0.942180i
$362$	−6.31095	+	19.4231i	−0.331696	+	1.02086i
$363$	−8.29871	+	25.5408i	−0.435569	+	1.34054i
$364$	−1.70643	−	5.25186i	−0.0894414	−	0.275272i
$365$	−7.15081	−	0.271136i	−0.374290	−	0.0141919i
$366$	−2.44982	+	7.53977i	−0.128054	+	0.394110i
$367$	17.1995	+	12.4962i	0.897809	+	0.652296i	0.937902	−	0.346900i	$-0.112766\pi$
$367$	17.1995	+	12.4962i	0.897809	+	0.652296i	−0.0400934	+	0.999196i	$0.512766\pi$
$368$	−4.63073			−0.241393
$369$	−3.89321	−	2.82858i	−0.202673	−	0.147250i
$370$	−6.98312	+	19.0088i	−0.363035	+	0.988221i
$371$	−7.82797	+	5.68735i	−0.406408	+	0.295273i
$372$	−5.74323	+	4.17270i	−0.297772	+	0.216344i
$373$	4.26061	+	13.1128i	0.220606	+	0.678956i	0.998708	+	0.0508177i	$0.0161828\pi$
$373$	4.26061	+	13.1128i	0.220606	+	0.678956i	−0.778102	+	0.628138i	$0.783817\pi$
$374$	5.52690			0.285789
$375$	−13.2629	+	29.0834i	−0.684891	+	1.50186i
$376$	0.331960			0.0171195
$377$	9.19501	+	28.2993i	0.473567	+	1.45749i
$378$	5.02845	−	3.65339i	0.258636	−	0.187910i
$379$	−4.71989	+	3.42920i	−0.242445	+	0.176146i	−0.702372	−	0.711810i	$-0.747876\pi$
$379$	−4.71989	+	3.42920i	−0.242445	+	0.176146i	0.459927	+	0.887957i	$0.347876\pi$
$380$	−4.74205	+	12.9084i	−0.243262	+	0.662186i
$381$	−17.3168	−	12.5814i	−0.887165	−	0.644563i
$382$	21.1185			1.08052
$383$	14.3199	+	10.4040i	0.731711	+	0.531619i	0.890104	−	0.455757i	$-0.150631\pi$
$383$	14.3199	+	10.4040i	0.731711	+	0.531619i	−0.158393	+	0.987376i	$0.550631\pi$
$384$	−0.883486	+	2.71909i	−0.0450852	+	0.138758i
$385$	2.83245	+	0.107397i	0.144355	+	0.00547348i
$386$	0.644569	+	1.98378i	0.0328077	+	0.100972i
$387$	11.9443	−	36.7609i	0.607165	−	1.86866i
$388$	2.98196	−	9.17751i	0.151386	−	0.465918i
$389$	−8.57687	−	26.3969i	−0.434864	−	1.33838i	−0.893225	−	0.449609i	$-0.851563\pi$
$389$	−8.57687	−	26.3969i	−0.434864	−	1.33838i	0.458361	−	0.888766i	$-0.348437\pi$
$390$	−9.62920	−	33.9642i	−0.487593	−	1.71984i
$391$	−6.23913	+	19.2021i	−0.315526	+	0.971090i
$392$	0.809017	+	0.587785i	0.0408615	+	0.0296876i
$393$	4.65783			0.234957
$394$	−13.3654	−	9.71054i	−0.673340	−	0.489210i
$395$	−9.36729	−	33.0404i	−0.471320	−	1.66244i
$396$	5.30607	−	3.85509i	0.266640	−	0.193725i
$397$	20.8127	−	15.1213i	1.04456	−	0.758918i	0.0733899	−	0.997303i	$-0.476618\pi$
$397$	20.8127	−	15.1213i	1.04456	−	0.758918i	0.971171	+	0.238386i	$0.0766182\pi$
$398$	−1.18077	−	3.63404i	−0.0591867	−	0.182158i
$399$	17.5830			0.880252
$400$	−4.25602	+	2.62417i	−0.212801	+	0.131209i
$401$	−22.3266			−1.11493			−0.557467	−	0.830199i	$-0.688227\pi$
$401$	−22.3266			−1.11493			−0.557467	+	0.830199i	$0.688227\pi$
$402$	−7.22957	−	22.2503i	−0.360578	−	1.10975i
$403$	11.0929	−	8.05947i	0.552577	−	0.401471i
$404$	−3.04622	+	2.21321i	−0.151555	+	0.110111i
$405$	4.17621	−	2.79875i	0.207518	−	0.139071i
$406$	−4.35934	−	3.16724i	−0.216350	−	0.157188i
$407$	11.4802			0.569051
$408$	10.0848	+	7.32704i	0.499272	+	0.362743i
$409$	−2.51803	+	7.74968i	−0.124508	+	0.383197i	−0.993811	−	0.111083i	$-0.964568\pi$
$409$	−2.51803	+	7.74968i	−0.124508	+	0.383197i	0.869303	+	0.494280i	$0.164568\pi$
$410$	0.717157	−	1.95218i	0.0354179	−	0.0964113i
$411$	−8.59928	−	26.4659i	−0.424171	−	1.30546i
$412$	0.153979	−	0.473898i	0.00758598	−	0.0233473i
$413$	3.30737	−	10.1790i	0.162745	−	0.500877i
$414$	7.40385	+	22.7867i	0.363880	+	1.11991i
$415$	17.9829	−	12.0515i	0.882746	−	0.591585i
$416$	1.70643	−	5.25186i	0.0836648	−	0.257494i
$417$	−48.8834	−	35.5159i	−2.39383	−	1.73922i
$418$	7.79588			0.381309
$419$	−14.2638	−	10.3632i	−0.696831	−	0.506278i	0.182067	−	0.983286i	$-0.441721\pi$
$419$	−14.2638	−	10.3632i	−0.696831	−	0.506278i	−0.878899	+	0.477008i	$0.841721\pi$
$420$	5.02593	+	3.95096i	0.245240	+	0.192787i
$421$	−14.7734	+	10.7335i	−0.720012	+	0.523119i	−0.886388	−	0.462943i	$-0.846793\pi$
$421$	−14.7734	+	10.7335i	−0.720012	+	0.523119i	0.166376	+	0.986062i	$0.446793\pi$
$422$	12.6990	−	9.22637i	0.618178	−	0.449133i
$423$	−0.530755	−	1.63350i	−0.0258062	−	0.0794233i
$424$	−9.67590			−0.469903
$425$	5.14730	+	21.1839i	0.249681	+	1.02757i
$426$	−34.6151			−1.67711
$427$	0.856873	+	2.63718i	0.0414670	+	0.127622i
$428$	8.14076	−	5.91461i	0.393499	−	0.285893i
$429$	−16.1909	+	11.7634i	−0.781704	+	0.567941i
$430$	16.6927	+	0.632934i	0.804994	+	0.0305228i
$431$	−3.55502	−	2.58287i	−0.171239	−	0.124413i	0.498865	−	0.866680i	$-0.333750\pi$
$431$	−3.55502	−	2.58287i	−0.171239	−	0.124413i	−0.670104	+	0.742267i	$0.733750\pi$
$432$	6.21551			0.299044
$433$	10.9326	+	7.94300i	0.525387	+	0.381716i	0.818629	−	0.574322i	$-0.194734\pi$
$433$	10.9326	+	7.94300i	0.525387	+	0.381716i	−0.293242	+	0.956038i	$0.594734\pi$
$434$	−0.767297	+	2.36150i	−0.0368314	+	0.113355i
$435$	−27.0819	−	21.2895i	−1.29848	−	1.02075i
$436$	−5.53438	−	17.0331i	−0.265049	−	0.815735i
$437$	−8.80050	+	27.0852i	−0.420985	+	1.29566i
$438$	−2.82736	+	8.70173i	−0.135097	+	0.415785i
$439$	−8.30034	−	25.5458i	−0.396154	−	1.21924i	−0.928059	−	0.372432i	$-0.878524\pi$
$439$	−8.30034	−	25.5458i	−0.396154	−	1.21924i	0.531906	−	0.846804i	$-0.321476\pi$
$440$	2.22837	+	1.75176i	0.106234	+	0.0835118i
$441$	1.59885	−	4.92077i	0.0761359	−	0.234322i
$442$	−19.4786	−	14.1520i	−0.926502	−	0.673143i
$443$	−24.4294			−1.16068			−0.580338	−	0.814375i	$-0.697080\pi$
$443$	−24.4294			−1.16068			−0.580338	+	0.814375i	$0.697080\pi$
$444$	20.9476	+	15.2193i	0.994129	+	0.722277i
$445$	−4.93146	−	0.186985i	−0.233774	−	0.00886395i
$446$	−12.2775	+	8.92013i	−0.581357	+	0.422380i
$447$	41.1844	−	29.9222i	1.94795	−	1.41527i
$448$	0.309017	+	0.951057i	0.0145997	+	0.0449332i
$449$	19.6923			0.929337			0.464669	−	0.885485i	$-0.346173\pi$
$449$	19.6923			0.929337			0.464669	+	0.885485i	$0.346173\pi$
$450$	19.7177	+	16.7472i	0.929502	+	0.789471i
$451$	−1.17900			−0.0555168
$452$	5.97834	+	18.3994i	0.281197	+	0.865437i
$453$	−37.0249	+	26.9002i	−1.73958	+	1.26388i
$454$	−7.72585	+	5.61316i	−0.362592	+	0.263439i
$455$	−9.70746	−	7.63119i	−0.455093	−	0.357756i
$456$	14.2250	+	10.3350i	0.666145	+	0.483983i
$457$	−19.2205			−0.899097			−0.449549	−	0.893256i	$-0.648415\pi$
$457$	−19.2205			−0.899097			−0.449549	+	0.893256i	$0.648415\pi$
$458$	7.11057	+	5.16613i	0.332255	+	0.241398i
$459$	8.37436	−	25.7736i	0.390882	−	1.20301i
$460$	−8.60165	+	5.76452i	−0.401054	+	0.268772i
$461$	5.73150	+	17.6397i	0.266942	+	0.821565i	0.991240	+	0.132076i	$0.0421644\pi$
$461$	5.73150	+	17.6397i	0.266942	+	0.821565i	−0.724297	+	0.689488i	$0.757836\pi$
$462$	1.11992	−	3.44677i	0.0521036	−	0.160358i
$463$	10.1301	−	31.1774i	0.470788	−	1.44894i	−0.380767	−	0.924671i	$-0.624340\pi$
$463$	10.1301	−	31.1774i	0.470788	−	1.44894i	0.851555	−	0.524265i	$-0.175660\pi$
$464$	−1.66512	−	5.12471i	−0.0773012	−	0.237909i
$465$	−5.47380	+	14.9003i	−0.253841	+	0.690983i
$466$	7.16265	−	22.0444i	0.331803	−	1.02119i
$467$	−17.9868	−	13.0682i	−0.832328	−	0.604722i	0.0878887	−	0.996130i	$-0.471988\pi$
$467$	−17.9868	−	13.0682i	−0.832328	−	0.604722i	−0.920217	+	0.391408i	$0.871988\pi$
$468$	−28.5715			−1.32072
$469$	−6.62019	−	4.80985i	−0.305692	−	0.222098i
$470$	0.616621	−	0.413237i	0.0284426	−	0.0190612i
$471$	20.0505	−	14.5676i	0.923879	−	0.671237i
$472$	8.65880	−	6.29099i	0.398554	−	0.289566i
$473$	−2.92634	−	9.00635i	−0.134553	−	0.414113i
$474$	−43.9102			−2.01686
$475$	7.26044	+	29.8806i	0.333132	+	1.37102i
$476$	4.36006			0.199843
$477$	15.4704	+	47.6128i	0.708339	+	2.18004i
$478$	−11.4321	+	8.30589i	−0.522891	+	0.379902i
$479$	−6.15291	+	4.47035i	−0.281133	+	0.204255i	−0.719412	−	0.694584i	$-0.755588\pi$
$479$	−6.15291	+	4.47035i	−0.281133	+	0.204255i	0.438278	+	0.898839i	$0.355588\pi$
$480$	1.74374	+	6.15056i	0.0795907	+	0.280733i
$481$	−40.4598	−	29.3958i	−1.84481	−	1.34033i
$482$	−14.6220			−0.666015
$483$	10.7109	+	7.78189i	0.487361	+	0.354088i
$484$	−2.90264	+	8.93341i	−0.131938	+	0.406064i
$485$	−5.88551	−	20.7595i	−0.267247	−	0.942638i
$486$	3.77578	+	11.6206i	0.171273	+	0.527123i
$487$	−5.93066	+	18.2527i	−0.268744	+	0.827108i	0.722063	+	0.691827i	$0.243194\pi$
$487$	−5.93066	+	18.2527i	−0.268744	+	0.827108i	−0.990807	+	0.135282i	$0.956806\pi$
$488$	−0.856873	+	2.63718i	−0.0387888	+	0.119380i
$489$	0.573207	+	1.76415i	0.0259213	+	0.0797775i
$490$	2.23446	+	0.0847237i	0.100943	+	0.00382742i
$491$	3.13350	−	9.64392i	0.141413	−	0.435224i	−0.855119	−	0.518431i	$-0.826516\pi$
$491$	3.13350	−	9.64392i	0.141413	−	0.435224i	0.996532	+	0.0832069i	$0.0265162\pi$
$492$	−2.15129	−	1.56300i	−0.0969876	−	0.0704657i
$493$	−23.4939			−1.05811
$494$	−27.4752	−	19.9619i	−1.23617	−	0.898128i
$495$	5.05715	−	13.7661i	0.227302	−	0.618740i
$496$	−2.00881	+	1.45949i	−0.0901982	+	0.0655328i
$497$	−9.79502	+	7.11650i	−0.439367	+	0.319219i
$498$	−8.55316	−	26.3239i	−0.383276	−	1.17960i
$499$	23.8817			1.06909			0.534547	−	0.845139i	$-0.320482\pi$
$499$	23.8817			1.06909			0.534547	+	0.845139i	$0.320482\pi$
$500$	−4.63895	+	10.1725i	−0.207460	+	0.454929i
$501$	14.6267			0.653473
$502$	−1.76118	−	5.42037i	−0.0786055	−	0.241923i
$503$	8.43355	−	6.12733i	0.376033	−	0.273204i	−0.383675	−	0.923468i	$-0.625342\pi$
$503$	8.43355	−	6.12733i	0.376033	−	0.273204i	0.759708	+	0.650264i	$0.225342\pi$
$504$	4.18585	−	3.04120i	0.186453	−	0.135466i
$505$	−2.90332	+	7.90314i	−0.129196	+	0.351685i
$506$	4.74893	+	3.45030i	0.211116	+	0.153385i
$507$	50.0156			2.22127
$508$	−6.05689	−	4.40059i	−0.268731	−	0.195245i
$509$	0.736488	−	2.26668i	0.0326443	−	0.100469i	−0.933407	−	0.358820i	$-0.883179\pi$
$509$	0.736488	−	2.26668i	0.0326443	−	0.100469i	0.966051	+	0.258351i	$0.0831792\pi$
$510$	27.8537	+	1.05612i	1.23338	+	0.0467659i
$511$	0.988928	+	3.04361i	0.0437476	+	0.134641i
$512$	−0.309017	+	0.951057i	−0.0136568	+	0.0420312i
$513$	11.8123	−	36.3546i	0.521527	−	1.60509i
$514$	6.52320	+	20.0764i	0.287726	+	0.885530i
$515$	−0.303909	−	1.07195i	−0.0133918	−	0.0472358i
$516$	6.60014	−	20.3132i	0.290555	−	0.894237i
$517$	−0.340433	−	0.247339i	−0.0149722	−	0.0108780i
$518$	9.05648			0.397919
$519$	−24.0892	−	17.5018i	−1.05740	−	0.768245i
$520$	−3.36800	−	11.8797i	−0.147697	−	0.520958i
$521$	−6.66532	+	4.84264i	−0.292013	+	0.212160i	−0.724140	−	0.689653i	$-0.757763\pi$
$521$	−6.66532	+	4.84264i	−0.292013	+	0.212160i	0.432127	+	0.901813i	$0.357763\pi$
$522$	−22.5552	+	16.3873i	−0.987214	+	0.717253i
$523$	−2.74939	−	8.46176i	−0.120223	−	0.370007i	0.872778	−	0.488118i	$-0.162316\pi$
$523$	−2.74939	−	8.46176i	−0.120223	−	0.370007i	−0.993000	+	0.118111i	$0.962316\pi$
$524$	1.62917			0.0711707
$525$	14.2541	+	1.08249i	0.622098	+	0.0472439i
$526$	−14.2946			−0.623276
$527$	3.34546	+	10.2963i	0.145731	+	0.448513i
$528$	2.93200	−	2.13022i	0.127599	−	0.0927061i
$529$	1.25914	−	0.914816i	0.0547450	−	0.0397746i
$530$	−17.9732	+	12.0450i	−0.780704	+	0.523200i
$531$	−44.8006	−	32.5496i	−1.94418	−	1.41253i
$532$	6.15001			0.266637
$533$	4.15517	+	3.01891i	0.179980	+	0.130763i
$534$	−1.94986	+	6.00104i	−0.0843785	+	0.259690i
$535$	7.75886	−	21.1204i	0.335445	−	0.913116i
$536$	−2.52869	−	7.78250i	−0.109223	−	0.336153i
$537$	0.841064	−	2.58853i	0.0362946	−	0.111703i
$538$	8.05505	−	24.7909i	0.347278	−	1.06881i
$539$	−0.391716	−	1.20558i	−0.0168724	−	0.0519279i
$540$	11.5454	−	7.73732i	0.496836	−	0.332961i
$541$	5.50657	−	16.9475i	0.236746	−	0.728629i	−0.760139	−	0.649760i	$-0.774869\pi$
$541$	5.50657	−	16.9475i	0.236746	−	0.728629i	0.996885	−	0.0788685i	$-0.0251307\pi$
$542$	12.9511	+	9.40955i	0.556299	+	0.404175i
$543$	58.3889			2.50571
$544$	3.52736	+	2.56278i	0.151234	+	0.109878i
$545$	−31.4836	−	24.7498i	−1.34861	−	1.06016i
$546$	−12.7727	+	9.27989i	−0.546620	+	0.397143i
$547$	22.3937	−	16.2700i	0.957486	−	0.695655i	0.00492082	−	0.999988i	$-0.498434\pi$
$547$	22.3937	−	16.2700i	0.957486	−	0.695655i	0.952566	+	0.304333i	$0.0984336\pi$
$548$	−3.00777	−	9.25697i	−0.128486	−	0.395438i
$549$	14.3470			0.612314
$550$	6.31990	+	0.479951i	0.269481	+	0.0204652i
$551$	−33.1390			−1.41177
$552$	4.09118	+	12.5914i	0.174132	+	0.535924i
$553$	−12.4253	+	9.02749i	−0.528377	+	0.383888i
$554$	−13.7526	+	9.99182i	−0.584290	+	0.424512i
$555$	57.8562	+	2.19372i	2.45586	+	0.0931182i
$556$	−17.0980	−	12.4224i	−0.725115	−	0.526827i
$557$	7.45082			0.315701			0.157851	−	0.987463i	$-0.449544\pi$
$557$	7.45082			0.315701			0.157851	+	0.987463i	$0.449544\pi$
$558$	10.3936	+	7.55138i	0.439995	+	0.319675i
$559$	−12.7480	+	39.2344i	−0.539184	+	1.65944i
$560$	1.75792	+	1.38193i	0.0742856	+	0.0583971i
$561$	−4.88294	−	15.0281i	−0.206158	−	0.634489i
$562$	−3.71028	+	11.4191i	−0.156509	+	0.481684i
$563$	−9.34945	+	28.7746i	−0.394032	+	1.21271i	0.535681	+	0.844421i	$0.320055\pi$
$563$	−9.34945	+	28.7746i	−0.394032	+	1.21271i	−0.929713	+	0.368286i	$0.879945\pi$
$564$	−0.293282	−	0.902629i	−0.0123494	−	0.0380075i
$565$	34.0092	+	26.7352i	1.43078	+	1.12476i
$566$	−2.53581	+	7.80441i	−0.106588	+	0.328044i
$567$	−1.81889	−	1.32150i	−0.0763863	−	0.0554979i
$568$	−12.1073			−0.508012
$569$	26.7574	+	19.4404i	1.12173	+	0.814983i	0.984470	−	0.175552i	$-0.0561711\pi$
$569$	26.7574	+	19.4404i	1.12173	+	0.814983i	0.137258	+	0.990535i	$0.456171\pi$
$570$	39.2886	+	1.48970i	1.64562	+	0.0623966i
$571$	−15.1173	+	10.9834i	−0.632639	+	0.459639i	−0.857313	−	0.514795i	$-0.827868\pi$
$571$	−15.1173	+	10.9834i	−0.632639	+	0.459639i	0.224675	+	0.974434i	$0.427868\pi$
$572$	−5.66309	+	4.11448i	−0.236786	+	0.172035i
$573$	−18.6579	−	57.4232i	−0.779445	−	2.39889i
$574$	−0.930088			−0.0388211
$575$	−8.80181	+	21.4154i	−0.367061	+	0.893083i
$576$	5.17400			0.215583
$577$	−7.95159	−	24.4725i	−0.331029	−	1.01880i	−0.968645	−	0.248448i	$-0.920079\pi$
$577$	−7.95159	−	24.4725i	−0.331029	−	1.01880i	0.637616	−	0.770354i	$-0.279921\pi$
$578$	1.62624	−	1.18153i	0.0676425	−	0.0491452i
$579$	4.82461	−	3.50528i	0.200504	−	0.145675i
$580$	−9.47243	−	7.44642i	−0.393321	−	0.309196i
$581$	−7.83222	−	5.69044i	−0.324935	−	0.236079i
$582$	−27.5890			−1.14360
$583$	9.92289	+	7.20940i	0.410964	+	0.298583i
$584$	−0.988928	+	3.04361i	−0.0409221	+	0.125945i
$585$	−53.0721	+	35.5670i	−2.19426	+	1.47052i
$586$	−1.12563	−	3.46432i	−0.0464992	−	0.143110i
$587$	−11.6589	+	35.8824i	−0.481214	+	1.48102i	0.356177	+	0.934419i	$0.384080\pi$
$587$	−11.6589	+	35.8824i	−0.481214	+	1.48102i	−0.837391	+	0.546605i	$0.815920\pi$
$588$	0.883486	−	2.71909i	0.0364343	−	0.112133i
$589$	4.71889	+	14.5232i	0.194438	+	0.598419i
$590$	8.25259	−	22.4645i	0.339754	−	0.924847i
$591$	−14.5957	+	44.9209i	−0.600386	+	1.84780i
$592$	7.32684	+	5.32326i	0.301131	+	0.218785i
$593$	−10.9312			−0.448889			−0.224444	−	0.974487i	$-0.572057\pi$
$593$	−10.9312			−0.448889			−0.224444	+	0.974487i	$0.572057\pi$
$594$	−6.37417	−	4.63110i	−0.261535	−	0.190017i
$595$	8.09889	−	5.42758i	0.332022	−	0.222509i
$596$	14.4051	−	10.4659i	0.590054	−	0.428699i
$597$	−8.83808	+	6.42124i	−0.361719	+	0.262804i
$598$	−7.90203	−	24.3199i	−0.323138	−	0.994516i
$599$	5.58770			0.228307			0.114154	−	0.993463i	$-0.463584\pi$
$599$	5.58770			0.228307			0.114154	+	0.993463i	$0.463584\pi$
$600$	10.8955	+	9.25408i	0.444807	+	0.377796i
$601$	7.84758			0.320110			0.160055	−	0.987108i	$-0.448833\pi$
$601$	7.84758			0.320110			0.160055	+	0.987108i	$0.448833\pi$
$602$	−2.30853	−	7.10493i	−0.0940888	−	0.289575i
$603$	−34.2528	+	24.8862i	−1.39488	+	1.01344i
$604$	−12.9502	+	9.40888i	−0.526937	+	0.382842i
$605$	5.72897	+	20.2073i	0.232916	+	0.821543i
$606$	8.70922	+	6.32762i	0.353788	+	0.257042i
$607$	14.3512			0.582495			0.291248	−	0.956648i	$-0.405930\pi$
$607$	14.3512			0.582495			0.291248	+	0.956648i	$0.405930\pi$
$608$	4.97547	+	3.61489i	0.201782	+	0.146603i
$609$	−4.76061	+	14.6516i	−0.192910	+	0.593715i
$610$	1.69122	+	5.96529i	0.0684755	+	0.241527i
$611$	0.566467	+	1.74341i	0.0229168	+	0.0705307i
$612$	6.97110	−	21.4548i	0.281790	−	0.867261i
$613$	−1.41101	+	4.34265i	−0.0569902	+	0.175398i	−0.975500	−	0.220001i	$-0.929394\pi$
$613$	−1.41101	+	4.34265i	−0.0569902	+	0.175398i	0.918509	+	0.395399i	$0.129394\pi$
$614$	6.07910	+	18.7096i	0.245333	+	0.755056i
$615$	−5.94175	−	0.225292i	−0.239594	−	0.00908465i
$616$	0.391716	−	1.20558i	0.0157827	−	0.0485741i
$617$	27.2914	+	19.8284i	1.09871	+	0.798260i	0.980849	−	0.194770i	$-0.0623961\pi$
$617$	27.2914	+	19.8284i	1.09871	+	0.798260i	0.117861	+	0.993030i	$0.462396\pi$
$618$	−1.42461			−0.0573061
$619$	−8.39857	−	6.10192i	−0.337567	−	0.245257i	0.406068	−	0.913843i	$-0.366900\pi$
$619$	−8.39857	−	6.10192i	−0.337567	−	0.245257i	−0.743635	+	0.668586i	$0.766900\pi$
$620$	−1.91457	+	5.21167i	−0.0768910	+	0.209306i
$621$	23.2854	−	16.9178i	0.934411	−	0.678889i
$622$	21.9370	−	15.9382i	0.879593	−	0.639062i
$623$	0.682001	+	2.09898i	0.0273238	+	0.0840940i
$624$	−15.7879			−0.632022
$625$	4.04624	+	24.6704i	0.161850	+	0.986815i
$626$	−22.9893			−0.918835
$627$	−6.88755	−	21.1977i	−0.275062	−	0.846555i
$628$	7.01307	−	5.09529i	0.279852	−	0.203324i
$629$	31.9455	−	23.2098i	1.27375	−	0.925434i
$630$	3.98948	−	10.8598i	0.158945	−	0.432665i
$631$	14.3900	+	10.4549i	0.572856	+	0.416204i	0.836142	−	0.548514i	$-0.184806\pi$
$631$	14.3900	+	10.4549i	0.572856	+	0.416204i	−0.263286	+	0.964718i	$0.584806\pi$
$632$	−15.3585			−0.610928
$633$	−36.3067	−	26.3784i	−1.44306	−	1.04845i
$634$	0.424214	−	1.30560i	0.0168477	−	0.0518518i
$635$	−16.7288	−	0.634303i	−0.663863	−	0.0251715i
$636$	8.54852	+	26.3096i	0.338971	+	1.04325i
$637$	−1.70643	+	5.25186i	−0.0676114	+	0.208086i
$638$	−2.11074	+	6.49618i	−0.0835649	+	0.257186i
$639$	19.3578	+	59.5773i	0.765784	+	2.35684i
$640$	0.609910	+	2.15128i	0.0241088	+	0.0850368i
$641$	−2.14496	+	6.60152i	−0.0847210	+	0.260744i	−0.984439	−	0.175728i	$-0.943772\pi$
$641$	−2.14496	+	6.60152i	−0.0847210	+	0.260744i	0.899718	+	0.436472i	$0.143772\pi$
$642$	−23.2746	−	16.9100i	−0.918575	−	0.667384i
$643$	3.59279			0.141686			0.0708430	−	0.997487i	$-0.477431\pi$
$643$	3.59279			0.141686			0.0708430	+	0.997487i	$0.477431\pi$
$644$	3.74634	+	2.72187i	0.147626	+	0.107257i
$645$	−13.0268	−	45.9482i	−0.512928	−	1.80921i
$646$	21.6933	−	15.7611i	0.853513	−	0.620113i
$647$	−29.9875	+	21.7872i	−1.17893	+	0.856542i	−0.992050	−	0.125841i	$-0.959837\pi$
$647$	−29.9875	+	21.7872i	−1.17893	+	0.856542i	−0.186879	+	0.982383i	$0.559837\pi$
$648$	−0.694755	−	2.13824i	−0.0272926	−	0.0839979i
$649$	−13.5672			−0.532558
$650$	−21.0444	−	17.8741i	−0.825430	−	0.701078i
$651$	7.09902			0.278232
$652$	0.200491	+	0.617046i	0.00785181	+	0.0241654i
$653$	17.0820	−	12.4108i	0.668472	−	0.485673i	−0.201042	−	0.979583i	$-0.564433\pi$
$653$	17.0820	−	12.4108i	0.668472	−	0.485673i	0.869513	+	0.493910i	$0.164433\pi$
$654$	−41.4249	+	30.0969i	−1.61984	+	1.17688i
$655$	3.02621	−	2.02806i	0.118244	−	0.0792428i
$656$	−0.752457	−	0.546692i	−0.0293785	−	0.0213447i
$657$	16.5580			0.645990
$658$	−0.268561	−	0.195121i	−0.0104696	−	0.00760661i
$659$	5.96587	−	18.3611i	0.232397	−	0.715245i	−0.765059	−	0.643960i	$-0.777290\pi$
$659$	5.96587	−	18.3611i	0.232397	−	0.715245i	0.997456	−	0.0712846i	$-0.0227099\pi$
$660$	2.79445	−	7.60680i	0.108774	−	0.296094i
$661$	14.1337	+	43.4991i	0.549737	+	1.69192i	0.709452	+	0.704754i	$0.248943\pi$
$661$	14.1337	+	43.4991i	0.549737	+	1.69192i	−0.159714	+	0.987163i	$0.551057\pi$
$662$	9.67185	−	29.7669i	0.375907	−	1.15692i
$663$	−21.2716	+	65.4671i	−0.826119	+	2.54253i
$664$	−2.99164	−	9.20732i	−0.116098	−	0.357313i
$665$	11.4238	−	7.65579i	0.442994	−	0.296879i
$666$	14.4800	−	44.5648i	0.561088	−	1.72685i
$667$	−20.1869	−	14.6666i	−0.781639	−	0.567894i
$668$	5.11599			0.197943
$669$	35.1017	+	25.5028i	1.35711	+	0.985997i
$670$	−14.3851	−	11.3083i	−0.555743	−	0.436878i
$671$	2.84368	−	2.06606i	0.109779	−	0.0797592i
$672$	2.31300	−	1.68049i	0.0892258	−	0.0648263i
$673$	−2.37826	−	7.31954i	−0.0916753	−	0.282148i	0.894698	−	0.446672i	$-0.147391\pi$
$673$	−2.37826	−	7.31954i	−0.0916753	−	0.282148i	−0.986373	+	0.164525i	$0.947391\pi$
$674$	11.6680			0.449433
$675$	11.8141	−	28.7444i	0.454724	−	1.10637i
$676$	17.4940			0.672845
$677$	−1.52723	−	4.70033i	−0.0586962	−	0.180648i	0.917410	−	0.397944i	$-0.130276\pi$
$677$	−1.52723	−	4.70033i	−0.0586962	−	0.180648i	−0.976106	+	0.217296i	$0.930276\pi$
$678$	44.7479	−	32.5113i	1.71853	−	1.24859i
$679$	−7.80686	+	5.67202i	−0.299600	+	0.217672i
$680$	9.74239	+	0.369400i	0.373604	+	0.0141659i
$681$	22.0884	+	16.0481i	0.846428	+	0.614966i
$682$	3.14753			0.120525
$683$	25.0797	+	18.2214i	0.959647	+	0.697224i	0.953069	−	0.302754i	$-0.0979062\pi$
$683$	25.0797	+	18.2214i	0.959647	+	0.697224i	0.00657790	+	0.999978i	$0.497906\pi$
$684$	9.83297	−	30.2628i	0.375973	−	1.15713i
$685$	−17.1104	−	13.4508i	−0.653756	−	0.513928i
$686$	−0.309017	−	0.951057i	−0.0117983	−	0.0363115i
$687$	7.76509	−	23.8985i	0.296257	−	0.911784i
$688$	2.30853	−	7.10493i	0.0880120	−	0.270873i
$689$	−16.5113	−	50.8165i	−0.629030	−	1.93595i
$690$	23.2737	+	18.2958i	0.886014	+	0.696509i
$691$	−2.62811	+	8.08849i	−0.0999780	+	0.307701i	−0.988519	−	0.151097i	$-0.951720\pi$
$691$	−2.62811	+	8.08849i	−0.0999780	+	0.307701i	0.888541	+	0.458797i	$0.151720\pi$
$692$	−8.42568	−	6.12162i	−0.320296	−	0.232709i
$693$	−6.55867			−0.249143
$694$	18.1858	+	13.2128i	0.690325	+	0.501551i
$695$	−47.2237	−	1.79057i	−1.79130	−	0.0679202i
$696$	−12.4634	+	9.05521i	−0.472425	+	0.343237i
$697$	−3.28076	+	2.38361i	−0.124268	+	0.0902857i
$698$	−0.842174	−	2.59195i	−0.0318768	−	0.0981066i
$699$	−66.2687			−2.50651
$700$	4.98564	+	0.378624i	0.188440	+	0.0143106i
$701$	−50.2081			−1.89633			−0.948166	−	0.317774i	$-0.897065\pi$
$701$	−50.2081			−1.89633			−0.948166	+	0.317774i	$0.897065\pi$
$702$	10.6064	+	32.6430i	0.400311	+	1.23203i
$703$	45.0602	−	32.7381i	1.69948	−	1.23474i
$704$	1.02553	−	0.745088i	0.0386510	−	0.0280816i
$705$	−1.66841	−	1.31156i	−0.0628358	−	0.0493962i
$706$	−0.337827	−	0.245446i	−0.0127143	−	0.00923748i
$707$	3.76534			0.141610
$708$	−24.7557	−	17.9861i	−0.930376	−	0.675958i
$709$	11.1209	−	34.2267i	0.417655	−	1.28541i	−0.492199	−	0.870483i	$-0.663807\pi$
$709$	11.1209	−	34.2267i	0.417655	−	1.28541i	0.909854	−	0.414928i	$-0.136193\pi$
$710$	−22.4895	+	15.0717i	−0.844018	+	0.565630i
$711$	24.5560	+	75.5755i	0.920921	+	2.83430i
$712$	−0.682001	+	2.09898i	−0.0255591	+	0.0786627i
$713$	−3.55314	+	10.9354i	−0.133066	+	0.409536i
$714$	−3.85205	−	11.8554i	−0.144159	−	0.443677i
$715$	−5.39742	+	14.6924i	−0.201852	+	0.549463i
$716$	0.294179	−	0.905390i	0.0109940	−	0.0338360i
$717$	32.6845	+	23.7467i	1.22063	+	0.886837i
$718$	−8.78511			−0.327857
$719$	−19.0176	−	13.8171i	−0.709238	−	0.515292i	0.173689	−	0.984800i	$-0.444431\pi$
$719$	−19.0176	−	13.8171i	−0.709238	−	0.515292i	−0.882928	+	0.469509i	$0.844431\pi$
$720$	9.61079	−	6.44081i	0.358173	−	0.240035i
$721$	−0.403121	+	0.292885i	−0.0150130	+	0.0109076i
$722$	15.2279	−	11.0637i	0.566722	−	0.411748i
$723$	12.9183	+	39.7586i	0.480439	+	1.47864i
$724$	20.4227			0.759003
$725$	−26.8648	−	2.04019i	−0.997734	−	0.0757707i
$726$	26.8552			0.996689
$727$	11.3150	+	34.8240i	0.419650	+	1.29155i	0.908025	+	0.418916i	$0.137590\pi$
$727$	11.3150	+	34.8240i	0.419650	+	1.29155i	−0.488375	+	0.872634i	$0.662410\pi$
$728$	−4.46750	+	3.24583i	−0.165577	+	0.120298i
$729$	33.7184	−	24.4979i	1.24883	−	0.907328i
$730$	1.95186	+	6.88461i	0.0722414	+	0.254811i
$731$	−26.3514	−	19.1454i	−0.974642	−	0.708119i
$732$	7.92778			0.293019
$733$	0.0730312	+	0.0530603i	0.00269747	+	0.00195983i	0.589133	−	0.808036i	$-0.299469\pi$
$733$	0.0730312	+	0.0530603i	0.00269747	+	0.00195983i	−0.586436	+	0.809996i	$0.699469\pi$
$734$	6.56964	−	20.2193i	0.242490	−	0.746307i
$735$	−1.74374	−	6.15056i	−0.0643190	−	0.226867i
$736$	1.43097	+	4.40408i	0.0527464	+	0.162337i
$737$	−3.20541	+	9.86525i	−0.118073	+	0.363391i
$738$	−1.48707	+	4.57675i	−0.0547400	+	0.168472i
$739$	−11.3265	−	34.8594i	−0.416653	−	1.28233i	−0.910764	−	0.412927i	$-0.864507\pi$
$739$	−11.3265	−	34.8594i	−0.416653	−	1.28233i	0.494112	−	0.869399i	$-0.335493\pi$
$740$	20.2364	+	0.767298i	0.743903	+	0.0282064i
$741$	−30.0043	+	92.3436i	−1.10223	+	3.39233i
$742$	7.82797	+	5.68735i	0.287374	+	0.208789i
$743$	−2.68261			−0.0984155			−0.0492078	−	0.998789i	$-0.515670\pi$
$743$	−2.68261			−0.0984155			−0.0492078	+	0.998789i	$0.515670\pi$
$744$	5.74323	+	4.17270i	0.210557	+	0.152979i
$745$	13.7293	−	37.3726i	0.503002	−	1.36922i
$746$	11.1544	−	8.10417i	0.408393	−	0.296715i
$747$	−40.5239	+	29.4423i	−1.48269	+	1.07724i
$748$	−1.70791	−	5.25640i	−0.0624472	−	0.192193i
$749$	−10.0625			−0.367677
$750$	31.7584	+	3.62645i	1.15965	+	0.132419i
$751$	41.1393			1.50119			0.750597	−	0.660761i	$-0.229766\pi$
$751$	41.1393			1.50119			0.750597	+	0.660761i	$0.229766\pi$
$752$	−0.102581	−	0.315713i	−0.00374075	−	0.0115129i
$753$	−13.1825	+	9.57763i	−0.480396	+	0.349028i
$754$	24.0728	−	17.4899i	0.876681	−	0.636946i
$755$	−12.3427	+	33.5981i	−0.449196	+	1.22276i
$756$	−5.02845	−	3.65339i	−0.182883	−	0.132872i
$757$	−37.5972			−1.36649			−0.683246	−	0.730188i	$-0.739433\pi$
$757$	−37.5972			−1.36649			−0.683246	+	0.730188i	$0.739433\pi$
$758$	4.71989	+	3.42920i	0.171434	+	0.124554i
$759$	5.18606	−	15.9611i	0.188242	−	0.579350i
$760$	13.7420	+	0.521052i	0.498474	+	0.0189005i
$761$	5.26418	+	16.2015i	0.190827	+	0.587304i	1.00000		0.000266166i	$-8.47234e-5\pi$
$761$	5.26418	+	16.2015i	0.190827	+	0.587304i	−0.809173	+	0.587570i	$0.800085\pi$
$762$	−6.61442	+	20.3571i	−0.239615	+	0.737460i
$763$	−5.53438	+	17.0331i	−0.200358	+	0.616638i
$764$	−6.52598	−	20.0849i	−0.236102	−	0.726646i
$765$	−13.7589	−	48.5307i	−0.497455	−	1.75463i
$766$	5.46970	−	16.8340i	0.197628	−	0.608238i
$767$	47.8151	+	34.7397i	1.72650	+	1.25438i
$768$	2.85902			0.103166
$769$	−1.73933	−	1.26370i	−0.0627218	−	0.0455701i	0.555983	−	0.831194i	$-0.312342\pi$
$769$	−1.73933	−	1.26370i	−0.0627218	−	0.0455701i	−0.618704	+	0.785624i	$0.712342\pi$
$770$	−0.773134	−	2.72701i	−0.0278618	−	0.0982745i
$771$	48.8263	−	35.4744i	1.75844	−	1.27758i
$772$	1.68750	−	1.22604i	0.0607346	−	0.0441263i
$773$	−2.25426	−	6.93790i	−0.0810801	−	0.249539i	0.902297	−	0.431116i	$-0.141880\pi$
$773$	−2.25426	−	6.93790i	−0.0810801	−	0.249539i	−0.983377	+	0.181577i	$0.941880\pi$
$774$	−38.6527			−1.38934
$775$	2.93135	+	12.0641i	0.105297	+	0.433355i
$776$	−9.64981			−0.346408
$777$	−8.00127	−	24.6254i	−0.287044	−	0.883430i
$778$	−22.4545	+	16.3142i	−0.805034	+	0.584891i
$779$	−4.62762	+	3.36216i	−0.165802	+	0.120462i
$780$	−29.3263	+	19.6534i	−1.05005	+	0.703706i
$781$	12.4164	+	9.02102i	0.444292	+	0.322797i
$782$	20.1903			0.722002
$783$	27.0955	+	19.6860i	0.968314	+	0.703521i
$784$	0.309017	−	0.951057i	0.0110363	−	0.0339663i
$785$	6.68407	−	18.1948i	0.238565	−	0.649399i
$786$	−1.43935	−	4.42986i	−0.0513399	−	0.158008i
$787$	9.10120	−	28.0106i	0.324423	−	0.998471i	−0.647278	−	0.762254i	$-0.724093\pi$
$787$	9.10120	−	28.0106i	0.324423	−	0.998471i	0.971700	−	0.236216i	$-0.0759075\pi$
$788$	−5.10513	+	15.7120i	−0.181863	+	0.559716i
$789$	12.6291	+	38.8684i	0.449608	+	1.38375i
$790$	−28.5287	+	19.1189i	−1.01500	+	0.680219i
$791$	5.97834	−	18.3994i	0.212565	−	0.654209i
$792$	−5.30607	−	3.85509i	−0.188543	−	0.136985i
$793$	−15.3123			−0.543757
$794$	−20.8127	−	15.1213i	−0.738616	−	0.536636i
$795$	48.6304	+	38.2291i	1.72474	+	1.35585i
$796$	−3.09130	+	2.24596i	−0.109568	+	0.0796059i
$797$	−0.0775136	+	0.0563169i	−0.00274567	+	0.00199485i	−0.589157	−	0.808018i	$-0.700540\pi$
$797$	−0.0775136	+	0.0563169i	−0.00274567	+	0.00199485i	0.586412	+	0.810013i	$0.300540\pi$
$798$	−5.43345	−	16.7224i	−0.192342	−	0.591968i
$799$	−1.44737			−0.0512041
$800$	3.81092	+	3.23680i	0.134736	+	0.114438i
$801$	11.4190			0.403472
$802$	6.89928	+	21.2338i	0.243622	+	0.749792i
$803$	3.28193	−	2.38446i	0.115817	−	0.0841457i
$804$	−18.9273	+	13.7515i	−0.667513	+	0.484976i
$805$	10.3472	+	0.392332i	0.364690	+	0.0138279i
$806$	−11.0929	−	8.05947i	−0.390731	−	0.283883i
$807$	−74.5252			−2.62341
$808$	3.04622	+	2.21321i	0.107166	+	0.0778605i
$809$	8.91325	−	27.4321i	0.313373	−	0.964463i	−0.663046	−	0.748579i	$-0.730737\pi$
$809$	8.91325	−	27.4321i	0.313373	−	0.964463i	0.976419	−	0.215884i	$-0.0692634\pi$
$810$	−3.95229	−	3.10695i	−0.138869	−	0.109167i
$811$	−4.86427	−	14.9707i	−0.170808	−	0.525692i	0.828610	−	0.559827i	$-0.189132\pi$
$811$	−4.86427	−	14.9707i	−0.170808	−	0.525692i	−0.999417	+	0.0341352i	$0.989132\pi$
$812$	−1.66512	+	5.12471i	−0.0584342	+	0.179842i
$813$	14.1433	−	43.5285i	0.496026	−	1.52661i
$814$	−3.54757	−	10.9183i	−0.124342	−	0.382686i
$815$	1.14054	+	0.896595i	0.0399513	+	0.0314064i
$816$	3.85205	−	11.8554i	0.134849	−	0.415022i
$817$	−37.1696	−	27.0053i	−1.30040	−	0.944795i
$818$	8.14850			0.284906
$819$	23.1149	+	16.7939i	0.807698	+	0.586827i
$820$	−2.07825	−	0.0788004i	−0.0725755	−	0.00275183i
$821$	24.4911	−	17.7938i	0.854746	−	0.621009i	−0.0717045	−	0.997426i	$-0.522844\pi$
$821$	24.4911	−	17.7938i	0.854746	−	0.621009i	0.926451	+	0.376417i	$0.122844\pi$
$822$	−22.5132	+	16.3568i	−0.785238	+	0.570509i
$823$	0.161334	+	0.496535i	0.00562375	+	0.0173081i	0.953829	−	0.300350i	$-0.0971035\pi$
$823$	0.161334	+	0.496535i	0.00562375	+	0.0173081i	−0.948205	+	0.317658i	$0.897104\pi$
$824$	−0.498285			−0.0173586
$825$	−4.27851	−	17.6084i	−0.148959	−	0.613046i
$826$	−10.7029			−0.372400
$827$	1.73026	+	5.32520i	0.0601671	+	0.185175i	0.976623	−	0.214962i	$-0.0689626\pi$
$827$	1.73026	+	5.32520i	0.0601671	+	0.185175i	−0.916455	+	0.400137i	$0.868963\pi$
$828$	19.3835	−	14.0830i	0.673625	−	0.489417i
$829$	36.6068	−	26.5964i	1.27141	−	0.923731i	0.272149	−	0.962255i	$-0.412265\pi$
$829$	36.6068	−	26.5964i	1.27141	−	0.923731i	0.999258	+	0.0385236i	$0.0122655\pi$
$830$	−17.0187	−	13.3786i	−0.590727	−	0.464380i
$831$	39.3189	+	28.5668i	1.36396	+	0.990972i
$832$	−5.52214			−0.191446
$833$	−3.52736	−	2.56278i	−0.122216	−	0.0887951i
$834$	−18.6718	+	57.4659i	−0.646552	+	1.98988i
$835$	9.50303	−	6.36859i	0.328866	−	0.220394i
$836$	−2.40906	−	7.41432i	−0.0833191	−	0.256430i
$837$	4.76914	−	14.6779i	0.164846	−	0.507343i
$838$	−5.44828	+	16.7681i	−0.188208	+	0.579244i
$839$	3.77482	+	11.6177i	0.130321	+	0.401088i	0.994833	−	0.101525i	$-0.0323722\pi$
$839$	3.77482	+	11.6177i	0.130321	+	0.401088i	−0.864512	+	0.502613i	$0.832372\pi$
$840$	2.20449	−	6.00085i	0.0760620	−	0.207049i
$841$	0.0108888	−	0.0335122i	0.000375475	−	0.00115559i
$842$	14.7734	+	10.7335i	0.509125	+	0.369901i
$843$	34.3275			1.18230
$844$	−12.6990	−	9.22637i	−0.437118	−	0.317585i
$845$	32.4954	−	21.7772i	1.11787	−	0.749159i
$846$	−1.38954	+	1.00956i	−0.0477732	+	0.0347093i
$847$	7.59921	−	5.52115i	0.261112	−	0.189709i
$848$	2.99002	+	9.20233i	0.102678	+	0.316009i
$849$	23.4613			0.805188
$850$	18.5565	−	11.4416i	0.636483	−	0.392442i
$851$	41.9381			1.43762
$852$	10.6966	+	32.9209i	0.366461	+	1.12785i
$853$	−28.5957	+	20.7760i	−0.979100	+	0.711358i	−0.957507	−	0.288409i	$-0.906874\pi$
$853$	−28.5957	+	20.7760i	−0.979100	+	0.711358i	−0.0215925	+	0.999767i	$0.506874\pi$
$854$	2.24332	−	1.62987i	0.0767649	−	0.0557730i
$855$	−19.4074	−	68.4541i	−0.663720	−	2.34108i
$856$	−8.14076	−	5.91461i	−0.278246	−	0.202157i
$857$	28.2775			0.965940			0.482970	−	0.875637i	$-0.339558\pi$
$857$	28.2775			0.965940			0.482970	+	0.875637i	$0.339558\pi$
$858$	16.1909	+	11.7634i	0.552748	+	0.401595i
$859$	5.97380	−	18.3855i	0.203824	−	0.627304i	−0.795936	−	0.605381i	$-0.793021\pi$
$859$	5.97380	−	18.3855i	0.203824	−	0.627304i	0.999760	−	0.0219237i	$-0.00697908\pi$
$860$	−4.55637	−	16.0713i	−0.155371	−	0.548026i
$861$	0.821720	+	2.52899i	0.0280041	+	0.0861879i
$862$	−1.35790	+	4.17918i	−0.0462502	+	0.142343i
$863$	−11.9708	+	36.8424i	−0.407491	+	1.25413i	0.511305	+	0.859399i	$0.329162\pi$
$863$	−11.9708	+	36.8424i	−0.407491	+	1.25413i	−0.918797	+	0.394731i	$0.870838\pi$
$864$	−1.92070	−	5.91130i	−0.0653435	−	0.201107i
$865$	−23.2713	−	0.882373i	−0.791248	−	0.0300016i
$866$	4.17588	−	12.8520i	0.141902	−	0.436730i
$867$	−4.64944	−	3.37802i	−0.157903	−	0.114724i
$868$	2.48302			0.0842793
$869$	15.7505	+	11.4434i	0.534300	+	0.388192i
$870$	−11.8787	+	32.3352i	−0.402727	+	1.09627i
$871$	36.5576	−	26.5606i	1.23871	−	0.899973i
$872$	−14.4892	+	10.5270i	−0.490666	+	0.356489i
$873$	15.4286	+	47.4845i	0.522180	+	1.60711i
$874$	28.4790			0.963318
$875$	9.73225	−	5.50303i	0.329010	−	0.186037i
$876$	9.14954			0.309134
$877$	10.2229	+	31.4628i	0.345202	+	1.06242i	0.961475	+	0.274891i	$0.0886419\pi$
$877$	10.2229	+	31.4628i	0.345202	+	1.06242i	−0.616273	+	0.787533i	$0.711358\pi$
$878$	−21.7306	+	15.7882i	−0.733372	+	0.532826i
$879$	−8.42533	+	6.12136i	−0.284179	+	0.206468i
$880$	0.977416	−	2.66063i	0.0329487	−	0.0896899i
$881$	44.6328	+	32.4277i	1.50372	+	1.09252i	0.968871	+	0.247567i	$0.0796309\pi$
$881$	44.6328	+	32.4277i	1.50372	+	1.09252i	0.534847	+	0.844949i	$0.320369\pi$
$882$	−5.17400			−0.174218
$883$	7.35271	+	5.34206i	0.247438	+	0.179775i	0.704591	−	0.709614i	$-0.251131\pi$
$883$	7.35271	+	5.34206i	0.247438	+	0.179775i	−0.457152	+	0.889388i	$0.651131\pi$
$884$	−7.44016	+	22.8984i	−0.250240	+	0.770158i
$885$	−68.3739	−	2.59252i	−2.29836	−	0.0871466i
$886$	7.54911	+	23.2338i	0.253617	+	0.780553i
$887$	4.61759	−	14.2115i	0.155044	−	0.477175i	−0.843122	−	0.537723i	$-0.819285\pi$
$887$	4.61759	−	14.2115i	0.155044	−	0.477175i	0.998165	+	0.0605476i	$0.0192847\pi$
$888$	8.00127	−	24.6254i	0.268505	−	0.826373i
$889$	2.31353	+	7.12030i	0.0775932	+	0.238807i
$890$	1.34607	+	4.74788i	0.0451204	+	0.159149i
$891$	−0.880686	+	2.71047i	−0.0295041	+	0.0908042i
$892$	12.2775	+	8.92013i	0.411081	+	0.298668i
$893$	−2.04156			−0.0683181
$894$	−41.1844	−	29.9222i	−1.37741	−	1.00075i
$895$	−0.580624	−	2.04798i	−0.0194081	−	0.0684565i
$896$	0.809017	−	0.587785i	0.0270274	−	0.0196365i
$897$	−59.1468	+	42.9726i	−1.97485	+	1.43481i
$898$	−6.08526	−	18.7285i	−0.203068	−	0.624978i
$899$	−13.3796			−0.446235
$900$	9.83443	−	23.9278i	0.327814	−	0.797594i
$901$	42.1875			1.40547
$902$	0.364330	+	1.12129i	0.0121309	+	0.0373350i
$903$	−17.2794	+	12.5542i	−0.575022	+	0.417778i
$904$	15.6515	−	11.3715i	0.520561	−	0.378210i
$905$	37.9355	−	25.4230i	1.26102	−	0.845089i
$906$	37.0249	+	26.9002i	1.23007	+	0.893699i
$907$	2.30560			0.0765563			0.0382782	−	0.999267i	$-0.487813\pi$
$907$	2.30560			0.0765563			0.0382782	+	0.999267i	$0.487813\pi$
$908$	7.72585	+	5.61316i	0.256391	+	0.186279i
$909$	6.02023	−	18.5284i	0.199678	−	0.614547i
$910$	−4.25792	+	11.5905i	−0.141149	+	0.384222i
$911$	1.89272	+	5.82519i	0.0627086	+	0.192997i	0.977503	−	0.210924i	$-0.0676471\pi$
$911$	1.89272	+	5.82519i	0.0627086	+	0.192997i	−0.914794	+	0.403921i	$0.867647\pi$
$912$	5.43345	−	16.7224i	0.179920	−	0.553735i
$913$	−3.79226	+	11.6714i	−0.125506	+	0.386266i
$914$	5.93946	+	18.2798i	0.196460	+	0.604641i
$915$	14.7260	−	9.86883i	0.486826	−	0.326253i
$916$	2.71600	−	8.35898i	0.0897391	−	0.276188i
$917$	−1.31803	−	0.957603i	−0.0435251	−	0.0316228i
$918$	−27.1000			−0.894434
$919$	−27.6718	−	20.1047i	−0.912807	−	0.663193i	0.0289162	−	0.999582i	$-0.490794\pi$
$919$	−27.6718	−	20.1047i	−0.912807	−	0.663193i	−0.941723	+	0.336389i	$0.890794\pi$
$920$	8.14044	+	6.39932i	0.268382	+	0.210979i
$921$	45.5022	−	33.0593i	1.49935	−	1.08934i
$922$	15.0053	−	10.9020i	0.494172	−	0.359037i
$923$	−20.6603	−	63.5859i	−0.680043	−	2.09296i
$924$	−3.62415			−0.119226
$925$	38.5445	−	23.7658i	1.26734	−	0.781414i
$926$	−32.7818			−1.07728
$927$	0.796686	+	2.45195i	0.0261666	+	0.0805325i
$928$	−4.35934	+	3.16724i	−0.143102	+	0.103970i
$929$	13.3751	−	9.71759i	0.438823	−	0.318824i	−0.346344	−	0.938108i	$-0.612577\pi$
$929$	13.3751	−	9.71759i	0.438823	−	0.318824i	0.785167	+	0.619284i	$0.212577\pi$
$930$	15.8625	+	0.601455i	0.520151	+	0.0197225i
$931$	−4.97547	−	3.61489i	−0.163064	−	0.118473i
$932$	−23.1788			−0.759247
$933$	−62.7183	−	45.5675i	−2.05331	−	1.49181i
$934$	−6.87033	+	21.1447i	−0.224804	+	0.691876i
$935$	−9.71584	−	7.63777i	−0.317742	−	0.249782i
$936$	8.82909	+	27.1731i	0.288588	+	0.888182i
$937$	10.6954	−	32.9171i	0.349404	−	1.07535i	−0.609780	−	0.792571i	$-0.708742\pi$
$937$	10.6954	−	32.9171i	0.349404	−	1.07535i	0.959184	−	0.282783i	$-0.0912577\pi$
$938$	−2.52869	+	7.78250i	−0.0825645	+	0.254108i
$939$	20.3107	+	62.5099i	0.662814	+	2.03993i
$940$	−0.583558	−	0.458744i	−0.0190336	−	0.0149626i
$941$	9.34370	−	28.7570i	0.304596	−	0.937450i	−0.675232	−	0.737606i	$-0.735956\pi$
$941$	9.34370	−	28.7570i	0.304596	−	0.937450i	0.979828	−	0.199844i	$-0.0640437\pi$
$942$	−20.0505	−	14.5676i	−0.653281	−	0.474637i
$943$	−4.30698			−0.140255
$944$	−8.65880	−	6.29099i	−0.281820	−	0.204754i
$945$	−13.8883	−	0.526601i	−0.451787	−	0.0171303i
$946$	−7.66126	+	5.56623i	−0.249089	+	0.180974i
$947$	−0.291915	+	0.212089i	−0.00948598	+	0.00689197i	−0.592518	−	0.805557i	$-0.701866\pi$
$947$	−0.291915	+	0.212089i	−0.00948598	+	0.00689197i	0.583032	+	0.812449i	$0.301866\pi$
$948$	13.5690	+	41.7611i	0.440701	+	1.35634i
$949$	−17.6721			−0.573662
$950$	26.1746	−	16.1387i	0.849216	−	0.523609i
$951$	−3.92482			−0.127271
$952$	−1.34733	−	4.14667i	−0.0436673	−	0.134394i
$953$	−22.0167	+	15.9961i	−0.713192	+	0.518164i	−0.884202	−	0.467105i	$-0.845297\pi$
$953$	−22.0167	+	15.9961i	−0.713192	+	0.518164i	0.171010	+	0.985269i	$0.445297\pi$
$954$	40.5019	−	29.4264i	1.31130	−	0.952713i
$955$	−37.1246	−	29.1842i	−1.20132	−	0.944380i
$956$	11.4321	+	8.30589i	0.369740	+	0.268632i
$957$	19.5285			0.631267
$958$	6.15291	+	4.47035i	0.198791	+	0.144430i
$959$	−3.00777	+	9.25697i	−0.0971260	+	0.298923i
$960$	5.31068	−	3.55903i	0.171401	−	0.114867i
$961$	−7.67431	−	23.6191i	−0.247558	−	0.761906i
$962$	−15.4543	+	47.5634i	−0.498266	+	1.53350i
$963$	−16.0885	+	49.5154i	−0.518445	+	1.59561i
$964$	4.51845	+	13.9064i	0.145530	+	0.447894i
$965$	1.60834	−	4.37807i	0.0517743	−	0.140935i
$966$	4.09118	−	12.5914i	0.131632	−	0.405120i
$967$	−10.4155	−	7.56729i	−0.334939	−	0.243347i	0.407584	−	0.913168i	$-0.366371\pi$
$967$	−10.4155	−	7.56729i	−0.334939	−	0.243347i	−0.742523	+	0.669820i	$0.766371\pi$
$968$	9.39314			0.301907
$969$	−62.0217	−	45.0614i	−1.99242	−	1.44758i
$970$	−17.9247	+	12.0125i	−0.575527	+	0.385698i
$971$	−3.01270	+	2.18886i	−0.0966822	+	0.0702437i	−0.635076	−	0.772450i	$-0.719031\pi$
$971$	−3.01270	+	2.18886i	−0.0966822	+	0.0702437i	0.538394	+	0.842693i	$0.319031\pi$
$972$	9.88511	−	7.18195i	0.317065	−	0.230361i
$973$	6.53084	+	20.0999i	0.209369	+	0.644372i
$974$	19.1920			0.614952
$975$	−30.0087	+	73.0132i	−0.961048	+	2.33829i
$976$	2.77290			0.0887584
$977$	−14.1779	−	43.6350i	−0.453590	−	1.39601i	−0.872782	−	0.488110i	$-0.837686\pi$
$977$	−14.1779	−	43.6350i	−0.453590	−	1.39601i	0.419192	−	0.907898i	$-0.362314\pi$
$978$	1.50067	−	1.09030i	0.0479863	−	0.0348641i
$979$	2.26334	−	1.64441i	0.0723366	−	0.0525556i
$980$	−0.609910	−	2.15128i	−0.0194829	−	0.0687202i
$981$	74.9670	+	54.4667i	2.39351	+	1.73899i
$982$	−10.1402			−0.323587
$983$	4.40413	+	3.19978i	0.140470	+	0.102057i	0.655801	−	0.754934i	$-0.272331\pi$
$983$	4.40413	+	3.19978i	0.140470	+	0.102057i	−0.515331	+	0.856991i	$0.672331\pi$
$984$	−0.821720	+	2.52899i	−0.0261955	+	0.0806214i
$985$	10.0761	+	35.5404i	0.321050	+	1.13241i
$986$	7.26002	+	22.3440i	0.231206	+	0.711579i
$987$	−0.293282	+	0.902629i	−0.00933527	+	0.0287310i
$988$	−10.4946	+	32.2990i	−0.333877	+	1.02757i
$989$	−10.6902	−	32.9010i	−0.339928	−	1.04619i
$990$	−14.6551	−	0.555674i	−0.465769	−	0.0176605i
$991$	−4.85507	+	14.9424i	−0.154226	+	0.474660i	−0.998082	−	0.0619110i	$-0.980280\pi$
$991$	−4.85507	+	14.9424i	−0.154226	+	0.474660i	0.843855	+	0.536571i	$0.180280\pi$
$992$	2.00881	+	1.45949i	0.0637797	+	0.0463387i
$993$	−89.4838			−2.83968
$994$	9.79502	+	7.11650i	0.310679	+	0.225722i
$995$	−2.94628	+	8.02008i	−0.0934032	+	0.254254i
$996$	−22.3925	+	16.2691i	−0.709533	+	0.515506i
$997$	−19.7822	+	14.3726i	−0.626508	+	0.455185i	−0.855189	−	0.518317i	$-0.826559\pi$
$997$	−19.7822	+	14.3726i	−0.626508	+	0.455185i	0.228681	+	0.973502i	$0.426559\pi$
$998$	−7.37986	−	22.7129i	−0.233605	−	0.718964i
$999$	−56.2906			−1.78096

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.d.281.1	yes	20
25.11	even	5		8750.2.a.w.1.10		10
25.14	even	10		8750.2.a.x.1.1		10
25.21	even	5	inner	350.2.h.d.71.1	✓	20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.d.71.1	✓	20	25.21	even	5	inner
350.2.h.d.281.1	yes	20	1.1	even	1	trivial
8750.2.a.w.1.10		10	25.11	even	5
8750.2.a.x.1.1		10	25.14	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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-2.31300 + 1.68049i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.771064 + 2.09892i) q^{5} +(2.31300 + 1.68049i) q^{6} +1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(1.59885 - 4.92077i) q^{9} +O(q^{10})\)	\(q+(-0.309017 - 0.951057i) q^{2} +(-2.31300 + 1.68049i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-0.771064 + 2.09892i) q^{5} +(2.31300 + 1.68049i) q^{6} +1.00000 q^{7} +(0.809017 + 0.587785i) q^{8} +(1.59885 - 4.92077i) q^{9} +(2.23446 + 0.0847237i) q^{10} +(-0.391716 - 1.20558i) q^{11} +(0.883486 - 2.71909i) q^{12} +(-1.70643 + 5.25186i) q^{13} +(-0.309017 - 0.951057i) q^{14} +(-1.74374 - 6.15056i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-3.52736 - 2.56278i) q^{17} -5.17400 q^{18} +(-4.97547 - 3.61489i) q^{19} +(-0.609910 - 2.15128i) q^{20} +(-2.31300 + 1.68049i) q^{21} +(-1.02553 + 0.745088i) q^{22} +(-1.43097 - 4.40408i) q^{23} -2.85902 q^{24} +(-3.81092 - 3.23680i) q^{25} +5.52214 q^{26} +(1.92070 + 5.91130i) q^{27} +(-0.809017 + 0.587785i) q^{28} +(4.35934 - 3.16724i) q^{29} +(-5.31068 + 3.55903i) q^{30} +(-2.00881 - 1.45949i) q^{31} -1.00000 q^{32} +(2.93200 + 2.13022i) q^{33} +(-1.34733 + 4.14667i) q^{34} +(-0.771064 + 2.09892i) q^{35} +(1.59885 + 4.92077i) q^{36} +(-2.79860 + 8.61322i) q^{37} +(-1.90046 + 5.84901i) q^{38} +(-4.87873 - 15.0152i) q^{39} +(-1.85752 + 1.24484i) q^{40} +(0.287413 - 0.884566i) q^{41} +(2.31300 + 1.68049i) q^{42} +7.47057 q^{43} +(1.02553 + 0.745088i) q^{44} +(9.09547 + 7.15009i) q^{45} +(-3.74634 + 2.72187i) q^{46} +(0.268561 - 0.195121i) q^{47} +(0.883486 + 2.71909i) q^{48} +1.00000 q^{49} +(-1.90074 + 4.62463i) q^{50} +12.4655 q^{51} +(-1.70643 - 5.25186i) q^{52} +(-7.82797 + 5.68735i) q^{53} +(5.02845 - 3.65339i) q^{54} +(2.83245 + 0.107397i) q^{55} +(0.809017 + 0.587785i) q^{56} +17.5830 q^{57} +(-4.35934 - 3.16724i) q^{58} +(3.30737 - 10.1790i) q^{59} +(5.02593 + 3.95096i) q^{60} +(0.856873 + 2.63718i) q^{61} +(-0.767297 + 2.36150i) q^{62} +(1.59885 - 4.92077i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-9.70746 - 7.63119i) q^{65} +(1.11992 - 3.44677i) q^{66} +(-6.62019 - 4.80985i) q^{67} +4.36006 q^{68} +(10.7109 + 7.78189i) q^{69} +(2.23446 + 0.0847237i) q^{70} +(-9.79502 + 7.11650i) q^{71} +(4.18585 - 3.04120i) q^{72} +(0.988928 + 3.04361i) q^{73} +9.05648 q^{74} +(14.2541 + 1.08249i) q^{75} +6.15001 q^{76} +(-0.391716 - 1.20558i) q^{77} +(-12.7727 + 9.27989i) q^{78} +(-12.4253 + 9.02749i) q^{79} +(1.75792 + 1.38193i) q^{80} +(-1.81889 - 1.32150i) q^{81} -0.930088 q^{82} +(-7.83222 - 5.69044i) q^{83} +(0.883486 - 2.71909i) q^{84} +(8.09889 - 5.42758i) q^{85} +(-2.30853 - 7.10493i) q^{86} +(-4.76061 + 14.6516i) q^{87} +(0.391716 - 1.20558i) q^{88} +(0.682001 + 2.09898i) q^{89} +(3.98948 - 10.8598i) q^{90} +(-1.70643 + 5.25186i) q^{91} +(3.74634 + 2.72187i) q^{92} +7.09902 q^{93} +(-0.268561 - 0.195121i) q^{94} +(11.4238 - 7.65579i) q^{95} +(2.31300 - 1.68049i) q^{96} +(-7.80686 + 5.67202i) q^{97} +(-0.309017 - 0.951057i) q^{98} -6.55867 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

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