LMFDB - Embedded newform 525.2.n.b.421.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(106,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 4, 0]))

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

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

chi := DirichletCharacter("525.106");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.n (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:	$4.19214610612$
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} - 8 x^{19} + 31 x^{18} - 74 x^{17} + 109 x^{16} - 72 x^{15} - 51 x^{14} + 9 x^{13} + 866 x^{12} + \cdots + 3125 $ x^20 - 8x^19 + 31x^18 - 74x^17 + 109x^16 - 72x^15 - 51x^14 + 9x^13 + 866x^12 - 3240x^11 + 6385x^10 - 6775x^9 + 330x^8 + 11325x^7 - 18525x^6 + 12000x^5 + 5875x^4 - 21250x^3 + 22500x^2 - 12500*x + 3125
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			421.4
Root			$0.209942 + 1.15667i$ of defining polynomial
Character	$\chi$	$=$	525.421
Dual form			525.2.n.b.106.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.256297 - 0.788802i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.06151 + 0.771234i) q^{4} +(2.01466 + 0.970131i) q^{5} +(0.670995 - 0.487507i) q^{6} -1.00000 q^{7} +(2.22241 - 1.61467i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})$	\(q+(0.256297 - 0.788802i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.06151 + 0.771234i) q^{4} +(2.01466 + 0.970131i) q^{5} +(0.670995 - 0.487507i) q^{6} -1.00000 q^{7} +(2.22241 - 1.61467i) q^{8} +(0.309017 + 0.951057i) q^{9} +(1.28159 - 1.34052i) q^{10} +(0.559514 - 1.72201i) q^{11} +(0.405462 + 1.24788i) q^{12} +(-1.11571 - 3.43380i) q^{13} +(-0.256297 + 0.788802i) q^{14} +(1.05966 + 1.96904i) q^{15} +(0.106864 + 0.328892i) q^{16} +(-4.55919 + 3.31245i) q^{17} +0.829396 q^{18} +(4.80519 - 3.49118i) q^{19} +(1.39039 + 2.58358i) q^{20} +(-0.809017 - 0.587785i) q^{21} +(-1.21492 - 0.882692i) q^{22} +(-1.87493 + 5.77043i) q^{23} +2.74704 q^{24} +(3.11769 + 3.90896i) q^{25} -2.99454 q^{26} +(-0.309017 + 0.951057i) q^{27} +(-1.06151 - 0.771234i) q^{28} +(-3.82513 - 2.77912i) q^{29} +(1.82477 - 0.331206i) q^{30} +(-2.00128 + 1.45401i) q^{31} +5.78091 q^{32} +(1.46483 - 1.06426i) q^{33} +(1.44436 + 4.44527i) q^{34} +(-2.01466 - 0.970131i) q^{35} +(-0.405462 + 1.24788i) q^{36} +(2.05034 + 6.31031i) q^{37} +(-1.52229 - 4.68513i) q^{38} +(1.11571 - 3.43380i) q^{39} +(6.04383 - 1.09699i) q^{40} +(-1.78694 - 5.49962i) q^{41} +(-0.670995 + 0.487507i) q^{42} -3.13765 q^{43} +(1.92200 - 1.39642i) q^{44} +(-0.300086 + 2.21584i) q^{45} +(4.07119 + 2.95789i) q^{46} +(-3.95633 - 2.87444i) q^{47} +(-0.106864 + 0.328892i) q^{48} +1.00000 q^{49} +(3.88246 - 1.45739i) q^{50} -5.63547 q^{51} +(1.46392 - 4.50550i) q^{52} +(-7.92281 - 5.75626i) q^{53} +(0.670995 + 0.487507i) q^{54} +(2.79780 - 2.92645i) q^{55} +(-2.22241 + 1.61467i) q^{56} +5.93954 q^{57} +(-3.17255 + 2.30499i) q^{58} +(-0.498688 - 1.53480i) q^{59} +(-0.393743 + 2.90741i) q^{60} +(-0.466745 + 1.43649i) q^{61} +(0.634006 + 1.95127i) q^{62} +(-0.309017 - 0.951057i) q^{63} +(1.26790 - 3.90221i) q^{64} +(1.08346 - 8.00031i) q^{65} +(-0.464059 - 1.42823i) q^{66} +(2.50743 - 1.82175i) q^{67} -7.39432 q^{68} +(-4.90862 + 3.56632i) q^{69} +(-1.28159 + 1.34052i) q^{70} +(3.33671 + 2.42426i) q^{71} +(2.22241 + 1.61467i) q^{72} +(5.04792 - 15.5359i) q^{73} +5.50309 q^{74} +(0.224636 + 4.99495i) q^{75} +7.79329 q^{76} +(-0.559514 + 1.72201i) q^{77} +(-2.42264 - 1.76015i) q^{78} +(7.15801 + 5.20060i) q^{79} +(-0.103775 + 0.766277i) q^{80} +(-0.809017 + 0.587785i) q^{81} -4.79610 q^{82} +(-7.59494 + 5.51805i) q^{83} +(-0.405462 - 1.24788i) q^{84} +(-12.3987 + 2.25043i) q^{85} +(-0.804172 + 2.47499i) q^{86} +(-1.46107 - 4.49672i) q^{87} +(-1.53701 - 4.73043i) q^{88} +(2.99721 - 9.22446i) q^{89} +(1.67095 + 0.804622i) q^{90} +(1.11571 + 3.43380i) q^{91} +(-6.44062 + 4.67938i) q^{92} -2.47371 q^{93} +(-3.28136 + 2.38405i) q^{94} +(13.0677 - 2.37186i) q^{95} +(4.67685 + 3.39793i) q^{96} +(-11.6112 - 8.43604i) q^{97} +(0.256297 - 0.788802i) q^{98} +1.81063 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) $ 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{3}{5}\right)$	$1$	$1$

Coefficient data

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

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

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

$2$	0.256297	−	0.788802i	0.181230	−	0.557767i	−0.818633	−	0.574316i	$-0.805268\pi$
$2$	0.256297	−	0.788802i	0.181230	−	0.557767i	0.999863	+	0.0165489i	$0.00526792\pi$
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$3$	0.809017	+	0.587785i	0.467086	+	0.339358i
$4$	1.06151	+	0.771234i	0.530757	+	0.385617i
$5$	2.01466	+	0.970131i	0.900982	+	0.433856i
$5$	2.01466	+	0.970131i	0.900982	+	0.433856i
$6$	0.670995	−	0.487507i	0.273933	−	0.199024i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	2.22241	−	1.61467i	0.785739	−	0.570873i
$9$	0.309017	+	0.951057i	0.103006	+	0.317019i
$10$	1.28159	−	1.34052i	0.405275	−	0.423911i
$11$	0.559514	−	1.72201i	0.168700	−	0.519205i	−0.830590	−	0.556884i	$-0.811997\pi$
$11$	0.559514	−	1.72201i	0.168700	−	0.519205i	0.999290	+	0.0376797i	$0.0119966\pi$
$12$	0.405462	+	1.24788i	0.117047	+	0.360233i
$13$	−1.11571	−	3.43380i	−0.309442	−	0.952364i	−0.977982	−	0.208688i	$-0.933081\pi$
$13$	−1.11571	−	3.43380i	−0.309442	−	0.952364i	0.668540	−	0.743676i	$-0.266919\pi$
$14$	−0.256297	+	0.788802i	−0.0684984	+	0.210816i
$15$	1.05966	+	1.96904i	0.273604	+	0.508404i
$16$	0.106864	+	0.328892i	0.0267159	+	0.0822231i
$17$	−4.55919	+	3.31245i	−1.10577	+	0.803386i	−0.981992	−	0.188924i	$-0.939500\pi$
$17$	−4.55919	+	3.31245i	−1.10577	+	0.803386i	−0.123775	+	0.992310i	$0.539500\pi$
$18$	0.829396			0.195490
$19$	4.80519	−	3.49118i	1.10239	−	0.800931i	0.120939	−	0.992660i	$-0.461410\pi$
$19$	4.80519	−	3.49118i	1.10239	−	0.800931i	0.981448	+	0.191729i	$0.0614096\pi$
$20$	1.39039	+	2.58358i	0.310900	+	0.577706i
$21$	−0.809017	−	0.587785i	−0.176542	−	0.128265i
$22$	−1.21492	−	0.882692i	−0.259022	−	0.188191i
$23$	−1.87493	+	5.77043i	−0.390949	+	1.20322i	0.541122	+	0.840944i	$0.318000\pi$
$23$	−1.87493	+	5.77043i	−0.390949	+	1.20322i	−0.932071	+	0.362275i	$0.882000\pi$
$24$	2.74704			0.560738
$25$	3.11769	+	3.90896i	0.623539	+	0.781793i
$26$	−2.99454			−0.587278
$27$	−0.309017	+	0.951057i	−0.0594703	+	0.183031i
$28$	−1.06151	−	0.771234i	−0.200607	−	0.145750i
$29$	−3.82513	−	2.77912i	−0.710310	−	0.516070i	0.172964	−	0.984928i	$-0.444666\pi$
$29$	−3.82513	−	2.77912i	−0.710310	−	0.516070i	−0.883274	+	0.468858i	$0.844666\pi$
$30$	1.82477	−	0.331206i	0.333156	−	0.0604697i
$31$	−2.00128	+	1.45401i	−0.359440	+	0.261148i	−0.752818	−	0.658228i	$-0.771306\pi$
$31$	−2.00128	+	1.45401i	−0.359440	+	0.261148i	0.393379	+	0.919377i	$0.371306\pi$
$32$	5.78091			1.02193
$33$	1.46483	−	1.06426i	0.254994	−	0.185264i
$34$	1.44436	+	4.44527i	0.247705	+	0.762358i
$35$	−2.01466	−	0.970131i	−0.340539	−	0.163982i
$36$	−0.405462	+	1.24788i	−0.0675770	+	0.207981i
$37$	2.05034	+	6.31031i	0.337075	+	1.03741i	0.965691	+	0.259694i	$0.0836216\pi$
$37$	2.05034	+	6.31031i	0.337075	+	1.03741i	−0.628616	+	0.777715i	$0.716378\pi$
$38$	−1.52229	−	4.68513i	−0.246948	−	0.760028i
$39$	1.11571	−	3.43380i	0.178656	−	0.549848i
$40$	6.04383	−	1.09699i	0.955613	−	0.173449i
$41$	−1.78694	−	5.49962i	−0.279072	−	0.858897i	−0.988113	−	0.153729i	$-0.950872\pi$
$41$	−1.78694	−	5.49962i	−0.279072	−	0.858897i	0.709041	−	0.705168i	$-0.249128\pi$
$42$	−0.670995	+	0.487507i	−0.103537	+	0.0752239i
$43$	−3.13765			−0.478487			−0.239244	−	0.970960i	$-0.576899\pi$
$43$	−3.13765			−0.478487			−0.239244	+	0.970960i	$0.576899\pi$
$44$	1.92200	−	1.39642i	0.289753	−	0.210518i
$45$	−0.300086	+	2.21584i	−0.0447341	+	0.330318i
$46$	4.07119	+	2.95789i	0.600265	+	0.436118i
$47$	−3.95633	−	2.87444i	−0.577090	−	0.419280i	0.260584	−	0.965451i	$-0.416085\pi$
$47$	−3.95633	−	2.87444i	−0.577090	−	0.419280i	−0.837674	+	0.546171i	$0.816085\pi$
$48$	−0.106864	+	0.328892i	−0.0154244	+	0.0474715i
$49$	1.00000			0.142857
$50$	3.88246	−	1.45739i	0.549062	−	0.206106i
$51$	−5.63547			−0.789124
$52$	1.46392	−	4.50550i	0.203010	−	0.624800i
$53$	−7.92281	−	5.75626i	−1.08828	−	0.790683i	−0.109174	−	0.994023i	$-0.534821\pi$
$53$	−7.92281	−	5.75626i	−1.08828	−	0.790683i	−0.979108	+	0.203339i	$0.934821\pi$
$54$	0.670995	+	0.487507i	0.0913109	+	0.0663413i
$55$	2.79780	−	2.92645i	0.377255	−	0.394603i
$56$	−2.22241	+	1.61467i	−0.296981	+	0.215770i
$57$	5.93954			0.786712
$58$	−3.17255	+	2.30499i	−0.416576	+	0.302660i
$59$	−0.498688	−	1.53480i	−0.0649237	−	0.199815i	0.913333	−	0.407215i	$-0.133500\pi$
$59$	−0.498688	−	1.53480i	−0.0649237	−	0.199815i	−0.978256	+	0.207400i	$0.933500\pi$
$60$	−0.393743	+	2.90741i	−0.0508320	+	0.375345i
$61$	−0.466745	+	1.43649i	−0.0597605	+	0.183924i	−0.976480	−	0.215607i	$-0.930827\pi$
$61$	−0.466745	+	1.43649i	−0.0597605	+	0.183924i	0.916720	+	0.399531i	$0.130827\pi$
$62$	0.634006	+	1.95127i	0.0805189	+	0.247812i
$63$	−0.309017	−	0.951057i	−0.0389325	−	0.119822i
$64$	1.26790	−	3.90221i	0.158488	−	0.487776i
$65$	1.08346	−	8.00031i	0.134387	−	0.992317i
$66$	−0.464059	−	1.42823i	−0.0571217	−	0.175802i
$67$	2.50743	−	1.82175i	0.306331	−	0.222562i	−0.423990	−	0.905667i	$-0.639371\pi$
$67$	2.50743	−	1.82175i	0.306331	−	0.222562i	0.730320	+	0.683105i	$0.239371\pi$
$68$	−7.39432			−0.896692
$69$	−4.90862	+	3.56632i	−0.590929	+	0.429335i
$70$	−1.28159	+	1.34052i	−0.153180	+	0.160223i
$71$	3.33671	+	2.42426i	0.395994	+	0.287707i	0.767907	−	0.640561i	$-0.221298\pi$
$71$	3.33671	+	2.42426i	0.395994	+	0.287707i	−0.371913	+	0.928268i	$0.621298\pi$
$72$	2.22241	+	1.61467i	0.261913	+	0.190291i
$73$	5.04792	−	15.5359i	0.590814	−	1.81834i	0.0162669	−	0.999868i	$-0.494822\pi$
$73$	5.04792	−	15.5359i	0.590814	−	1.81834i	0.574547	−	0.818471i	$-0.305178\pi$
$74$	5.50309			0.639721
$75$	0.224636	+	4.99495i	0.0259387	+	0.576767i
$76$	7.79329			0.893952
$77$	−0.559514	+	1.72201i	−0.0637625	+	0.196241i
$78$	−2.42264	−	1.76015i	−0.274309	−	0.199297i
$79$	7.15801	+	5.20060i	0.805340	+	0.585113i	0.912476	−	0.409131i	$-0.134168\pi$
$79$	7.15801	+	5.20060i	0.805340	+	0.585113i	−0.107136	+	0.994244i	$0.534168\pi$
$80$	−0.103775	+	0.766277i	−0.0116024	+	0.0856724i
$81$	−0.809017	+	0.587785i	−0.0898908	+	0.0653095i
$82$	−4.79610			−0.529641
$83$	−7.59494	+	5.51805i	−0.833653	+	0.605685i	−0.920591	−	0.390529i	$-0.872292\pi$
$83$	−7.59494	+	5.51805i	−0.833653	+	0.605685i	0.0869372	+	0.996214i	$0.472292\pi$
$84$	−0.405462	−	1.24788i	−0.0442395	−	0.136155i
$85$	−12.3987	+	2.25043i	−1.34483	+	0.244094i
$86$	−0.804172	+	2.47499i	−0.0867160	+	0.266885i
$87$	−1.46107	−	4.49672i	−0.156643	−	0.482098i
$88$	−1.53701	−	4.73043i	−0.163846	−	0.504265i
$89$	2.99721	−	9.22446i	0.317704	−	0.977791i	−0.656924	−	0.753957i	$-0.728143\pi$
$89$	2.99721	−	9.22446i	0.317704	−	0.977791i	0.974627	−	0.223834i	$-0.0718574\pi$
$90$	1.67095	+	0.804622i	0.176133	+	0.0848146i
$91$	1.11571	+	3.43380i	0.116958	+	0.359960i
$92$	−6.44062	+	4.67938i	−0.671481	+	0.487859i
$93$	−2.47371			−0.256512
$94$	−3.28136	+	2.38405i	−0.338447	+	0.245896i
$95$	13.0677	−	2.37186i	1.34072	−	0.243348i
$96$	4.67685	+	3.39793i	0.477329	+	0.346800i
$97$	−11.6112	−	8.43604i	−1.17894	−	0.856550i	−0.186889	−	0.982381i	$-0.559840\pi$
$97$	−11.6112	−	8.43604i	−1.17894	−	0.856550i	−0.992052	+	0.125831i	$0.959840\pi$
$98$	0.256297	−	0.788802i	0.0258899	−	0.0796811i
$99$	1.81063			0.181975
$100$	0.294745	+	6.55389i	0.0294745	+	0.655389i
$101$	−11.1697			−1.11142			−0.555711	−	0.831376i	$-0.687554\pi$
$101$	−11.1697			−1.11142			−0.555711	+	0.831376i	$0.687554\pi$
$102$	−1.44436	+	4.44527i	−0.143013	+	0.440148i
$103$	12.0414	+	8.74856i	1.18647	+	0.862022i	0.992887	−	0.119062i	$-0.0379888\pi$
$103$	12.0414	+	8.74856i	1.18647	+	0.862022i	0.193584	+	0.981084i	$0.437989\pi$
$104$	−8.02402	−	5.82979i	−0.786819	−	0.571658i
$105$	−1.05966	−	1.96904i	−0.103413	−	0.192158i
$106$	−6.57115	+	4.77422i	−0.638246	+	0.463713i
$107$	−15.7042			−1.51818			−0.759089	−	0.650987i	$-0.774355\pi$
$107$	−15.7042			−1.51818			−0.759089	+	0.650987i	$0.774355\pi$
$108$	−1.06151	+	0.771234i	−0.102144	+	0.0742121i
$109$	−4.85248	−	14.9344i	−0.464783	−	1.43046i	−0.859255	−	0.511548i	$-0.829072\pi$
$109$	−4.85248	−	14.9344i	−0.464783	−	1.43046i	0.394472	−	0.918908i	$-0.370928\pi$
$110$	−1.59132	−	2.95695i	−0.151727	−	0.281935i
$111$	−2.05034	+	6.31031i	−0.194610	+	0.598948i
$112$	−0.106864	−	0.328892i	−0.0100977	−	0.0310774i
$113$	1.01788	+	3.13270i	0.0957537	+	0.294700i	0.987449	−	0.157936i	$-0.0504839\pi$
$113$	1.01788	+	3.13270i	0.0957537	+	0.294700i	−0.891696	+	0.452635i	$0.850484\pi$
$114$	1.52229	−	4.68513i	0.142575	−	0.438802i
$115$	−9.37541	+	9.80653i	−0.874262	+	0.914463i
$116$	−1.91708	−	5.90015i	−0.177996	−	0.547815i
$117$	2.92096	−	2.12220i	0.270043	−	0.196198i
$118$	−1.33847			−0.123216
$119$	4.55919	−	3.31245i	0.417940	−	0.303651i
$120$	5.53435	+	2.66499i	0.505215	+	0.243279i
$121$	6.24693	+	4.53866i	0.567903	+	0.412606i
$122$	1.01348	+	0.736339i	0.0917565	+	0.0666650i
$123$	1.78694	−	5.49962i	0.161123	−	0.495884i
$124$	−3.24577			−0.291478
$125$	2.48888	+	10.8998i	0.222612	+	0.974907i
$126$	−0.829396			−0.0738885
$127$	−2.75736	+	8.48629i	−0.244676	+	0.753036i	0.751013	+	0.660287i	$0.229565\pi$
$127$	−2.75736	+	8.48629i	−0.244676	+	0.753036i	−0.995690	+	0.0927490i	$0.970435\pi$
$128$	6.60059	+	4.79561i	0.583416	+	0.423876i
$129$	−2.53841	−	1.84426i	−0.223495	−	0.162378i
$130$	−6.03298	−	2.90510i	−0.529127	−	0.254794i
$131$	−13.3915	+	9.72951i	−1.17002	+	0.850071i	−0.991012	−	0.133776i	$-0.957290\pi$
$131$	−13.3915	+	9.72951i	−1.17002	+	0.850071i	−0.179011	+	0.983847i	$0.557290\pi$
$132$	2.37573			0.206780
$133$	−4.80519	+	3.49118i	−0.416663	+	0.302723i
$134$	−0.794355	−	2.44477i	−0.0686218	−	0.211196i
$135$	−1.54521	+	1.61627i	−0.132991	+	0.139106i
$136$	−4.78386	+	14.7232i	−0.410212	+	1.26250i
$137$	5.70797	+	17.5673i	0.487665	+	1.50088i	0.828084	+	0.560605i	$0.189431\pi$
$137$	5.70797	+	17.5673i	0.487665	+	1.50088i	−0.340418	+	0.940274i	$0.610569\pi$
$138$	1.55506	+	4.78597i	0.132375	+	0.407409i
$139$	−1.12210	+	3.45347i	−0.0951754	+	0.292920i	−0.987299	−	0.158871i	$-0.949215\pi$
$139$	−1.12210	+	3.45347i	−0.0951754	+	0.292920i	0.892124	+	0.451791i	$0.149215\pi$
$140$	−1.39039	−	2.58358i	−0.117509	−	0.218352i
$141$	−1.51118	−	4.65094i	−0.127265	−	0.391680i
$142$	2.76745	−	2.01067i	0.232239	−	0.168732i
$143$	−6.53728			−0.546675
$144$	−0.279773	+	0.203267i	−0.0233144	+	0.0169389i
$145$	−5.01022	−	9.30986i	−0.416077	−	0.773142i
$146$	−10.9610	−	7.96362i	−0.907137	−	0.659074i
$147$	0.809017	+	0.587785i	0.0667266	+	0.0484797i
$148$	−2.69026	+	8.27978i	−0.221138	+	0.680593i
$149$	16.1593			1.32382			0.661912	−	0.749581i	$-0.269745\pi$
$149$	16.1593			1.32382			0.661912	+	0.749581i	$0.269745\pi$
$150$	3.99760	+	1.10300i	0.326403	+	0.0900596i
$151$	15.8259			1.28789			0.643947	−	0.765070i	$-0.277296\pi$
$151$	15.8259			1.28789			0.643947	+	0.765070i	$0.277296\pi$
$152$	5.04198	−	15.5176i	0.408958	−	1.25864i
$153$	−4.55919	−	3.31245i	−0.368589	−	0.267795i
$154$	1.21492	+	0.882692i	0.0979011	+	0.0711293i
$155$	−5.44247	+	0.987838i	−0.437150	+	0.0793451i
$156$	3.83260	−	2.78455i	0.306854	−	0.222942i
$157$	−12.3983			−0.989496			−0.494748	−	0.869037i	$-0.664740\pi$
$157$	−12.3983			−0.989496			−0.494748	+	0.869037i	$0.664740\pi$
$158$	5.93683	−	4.31336i	0.472309	−	0.343152i
$159$	−3.02625	−	9.31383i	−0.239997	−	0.738634i
$160$	11.6466	+	5.60824i	0.920741	+	0.443370i
$161$	1.87493	−	5.77043i	0.147765	−	0.454774i
$162$	0.256297	+	0.788802i	0.0201366	+	0.0619742i
$163$	−5.98496	−	18.4198i	−0.468778	−	1.44275i	−0.854168	−	0.519996i	$-0.825933\pi$
$163$	−5.98496	−	18.4198i	−0.468778	−	1.44275i	0.385391	−	0.922754i	$-0.374067\pi$
$164$	2.34464	−	7.21607i	0.183086	−	0.563480i
$165$	3.98360	−	0.723044i	0.310122	−	0.0562889i
$166$	2.40609	+	7.40517i	0.186748	+	0.574753i
$167$	−7.12492	+	5.17656i	−0.551343	+	0.400574i	−0.828280	−	0.560314i	$-0.810681\pi$
$167$	−7.12492	+	5.17656i	−0.551343	+	0.400574i	0.276937	+	0.960888i	$0.410681\pi$
$168$	−2.74704			−0.211939
$169$	−0.0289463	+	0.0210307i	−0.00222664	+	0.00161775i
$170$	−1.40261	+	10.3569i	−0.107575	+	0.794339i
$171$	4.80519	+	3.49118i	0.367462	+	0.266977i
$172$	−3.33066	−	2.41986i	−0.253960	−	0.184513i
$173$	4.60951	−	14.1866i	0.350455	−	1.07859i	−0.608143	−	0.793827i	$-0.708085\pi$
$173$	4.60951	−	14.1866i	0.350455	−	1.07859i	0.958598	−	0.284762i	$-0.0919145\pi$
$174$	−3.92149			−0.297287
$175$	−3.11769	−	3.90896i	−0.235675	−	0.295490i
$176$	0.626147			0.0471976
$177$	0.498688	−	1.53480i	0.0374837	−	0.115363i
$178$	−6.50810	−	4.72841i	−0.487803	−	0.354409i
$179$	15.6564	+	11.3750i	1.17021	+	0.850211i	0.991035	−	0.133606i	$-0.0426556\pi$
$179$	15.6564	+	11.3750i	1.17021	+	0.850211i	0.179180	+	0.983816i	$0.442656\pi$
$180$	−2.02748	+	2.12071i	−0.151119	+	0.158068i
$181$	−1.87774	+	1.36426i	−0.139571	+	0.101405i	−0.655380	−	0.755299i	$-0.727492\pi$
$181$	−1.87774	+	1.36426i	−0.139571	+	0.101405i	0.515809	+	0.856704i	$0.327492\pi$
$182$	2.99454			0.221970
$183$	−1.22195	+	0.887801i	−0.0903294	+	0.0656282i
$184$	5.15051	+	15.8516i	0.379701	+	1.16860i
$185$	−1.99108	+	14.7022i	−0.146387	+	1.08093i
$186$	−0.634006	+	1.95127i	−0.0464876	+	0.143074i
$187$	3.15312	+	9.70432i	0.230579	+	0.709650i
$188$	−1.98283	−	6.10251i	−0.144612	−	0.445071i
$189$	0.309017	−	0.951057i	0.0224777	−	0.0691792i
$190$	1.47829	−	10.9157i	0.107247	−	0.791911i
$191$	1.18977	+	3.66173i	0.0860885	+	0.264953i	0.984829	−	0.173528i	$-0.0555166\pi$
$191$	1.18977	+	3.66173i	0.0860885	+	0.264953i	−0.898740	+	0.438481i	$0.855517\pi$
$192$	3.31942	−	2.41170i	0.239558	−	0.174049i
$193$	16.3647			1.17796			0.588979	−	0.808149i	$-0.299530\pi$
$193$	16.3647			1.17796			0.588979	+	0.808149i	$0.299530\pi$
$194$	−9.63029	+	6.99682i	−0.691415	+	0.502342i
$195$	5.57901	−	5.83555i	0.399521	−	0.417892i
$196$	1.06151	+	0.771234i	0.0758224	+	0.0550882i
$197$	−12.1594	−	8.83431i	−0.866320	−	0.629418i	0.0632768	−	0.997996i	$-0.479845\pi$
$197$	−12.1594	−	8.83431i	−0.866320	−	0.629418i	−0.929597	+	0.368578i	$0.879845\pi$
$198$	0.464059	−	1.42823i	0.0329792	−	0.101500i
$199$	−5.86845			−0.416004			−0.208002	−	0.978128i	$-0.566696\pi$
$199$	−5.86845			−0.416004			−0.208002	+	0.978128i	$0.566696\pi$
$200$	13.2405	+	3.65325i	0.936243	+	0.258324i
$201$	3.09935			0.218611
$202$	−2.86275	+	8.81065i	−0.201423	+	0.619915i
$203$	3.82513	+	2.77912i	0.268472	+	0.195056i
$204$	−5.98213	−	4.34627i	−0.418833	−	0.304300i
$205$	1.73529	−	12.8134i	0.121198	−	0.894928i
$206$	9.98706	−	7.25602i	0.695831	−	0.505551i
$207$	−6.06739			−0.421713
$208$	1.01012	−	0.733896i	0.0700393	−	0.0508866i
$209$	−3.32326	−	10.2279i	−0.229875	−	0.707481i
$210$	−1.82477	+	0.331206i	−0.125921	+	0.0228554i
$211$	−2.89640	+	8.91420i	−0.199396	+	0.613679i	0.800501	+	0.599332i	$0.204567\pi$
$211$	−2.89640	+	8.91420i	−0.199396	+	0.613679i	−0.999897	+	0.0143472i	$0.995433\pi$
$212$	−3.97074	−	12.2207i	−0.272712	−	0.839321i
$213$	1.27451	+	3.92254i	0.0873279	+	0.268768i
$214$	−4.02493	+	12.3875i	−0.275139	+	0.846790i
$215$	−6.32129	−	3.04393i	−0.431108	−	0.207594i
$216$	0.848883	+	2.61259i	0.0577592	+	0.177765i
$217$	2.00128	−	1.45401i	0.135856	−	0.0987048i
$218$	−13.0240			−0.882094
$219$	13.2156	−	9.60171i	0.893029	−	0.648824i
$220$	5.22689	−	0.948708i	0.352397	−	0.0639619i
$221$	16.4610	+	11.9596i	1.10729	+	0.804491i
$222$	4.45209	+	3.23463i	0.298805	+	0.217094i
$223$	3.04033	−	9.35716i	0.203595	−	0.626602i	−0.796173	−	0.605069i	$-0.793145\pi$
$223$	3.04033	−	9.35716i	0.203595	−	0.626602i	0.999768	−	0.0215327i	$-0.00685461\pi$
$224$	−5.78091			−0.386253
$225$	−2.75422	+	4.17304i	−0.183615	+	0.278203i
$226$	2.73196			0.181727
$227$	2.12619	−	6.54374i	0.141120	−	0.434323i	−0.855371	−	0.518015i	$-0.826671\pi$
$227$	2.12619	−	6.54374i	0.141120	−	0.434323i	0.996492	+	0.0836917i	$0.0266711\pi$
$228$	6.30490	+	4.58078i	0.417552	+	0.303370i
$229$	4.89285	+	3.55487i	0.323329	+	0.234912i	0.737595	−	0.675244i	$-0.235962\pi$
$229$	4.89285	+	3.55487i	0.323329	+	0.234912i	−0.414266	+	0.910156i	$0.635962\pi$
$230$	5.33252	+	9.90873i	0.351616	+	0.653363i
$231$	−1.46483	+	1.06426i	−0.0963785	+	0.0700231i
$232$	−12.9884			−0.852728
$233$	3.54965	−	2.57897i	0.232545	−	0.168954i	−0.465410	−	0.885095i	$-0.654093\pi$
$233$	3.54965	−	2.57897i	0.232545	−	0.168954i	0.697956	+	0.716141i	$0.254093\pi$
$234$	−0.925364	−	2.84798i	−0.0604930	−	0.186178i
$235$	−5.18206	−	9.62917i	−0.338041	−	0.628138i
$236$	0.654330	−	2.01382i	0.0425933	−	0.131089i
$237$	2.73412	+	8.41475i	0.177600	+	0.546597i
$238$	−1.44436	−	4.44527i	−0.0936237	−	0.288144i
$239$	3.48862	−	10.7369i	0.225660	−	0.694510i	−0.772564	−	0.634937i	$-0.781026\pi$
$239$	3.48862	−	10.7369i	0.225660	−	0.694510i	0.998224	−	0.0595729i	$-0.0189739\pi$
$240$	−0.534362	+	0.558934i	−0.0344929	+	0.0360790i
$241$	−2.61881	−	8.05988i	−0.168693	−	0.519183i	0.830597	−	0.556874i	$-0.188000\pi$
$241$	−2.61881	−	8.05988i	−0.168693	−	0.519183i	−0.999289	+	0.0376917i	$0.988000\pi$
$242$	5.18118	−	3.76435i	0.333059	−	0.241981i
$243$	−1.00000			−0.0641500
$244$	−1.60333	+	1.16489i	−0.102643	+	0.0745742i
$245$	2.01466	+	0.970131i	0.128712	+	0.0619794i
$246$	−3.88013	−	2.81908i	−0.247388	−	0.179738i
$247$	−17.3492	−	12.6049i	−1.10390	−	0.802032i
$248$	−2.09989	+	6.46281i	−0.133343	+	0.410389i
$249$	−9.38787			−0.594932
$250$	9.23568	+	0.830355i	0.584115	+	0.0525162i
$251$	−7.66710			−0.483943			−0.241971	−	0.970283i	$-0.577794\pi$
$251$	−7.66710			−0.483943			−0.241971	+	0.970283i	$0.577794\pi$
$252$	0.405462	−	1.24788i	0.0255417	−	0.0786093i
$253$	8.88768	+	6.45728i	0.558764	+	0.405966i
$254$	5.98730	+	4.35003i	0.375677	+	0.272945i
$255$	−11.3535	−	5.46714i	−0.710987	−	0.342366i
$256$	12.1133	−	8.80086i	0.757084	−	0.550054i
$257$	0.0306164			0.00190980			0.000954900	−	1.00000i	$-0.499696\pi$
$257$	0.0306164			0.00190980			0.000954900		1.00000i	$0.499696\pi$
$258$	−2.10535	+	1.52963i	−0.131073	+	0.0952303i
$259$	−2.05034	−	6.31031i	−0.127402	−	0.392104i
$260$	7.32023	−	7.65683i	0.453981	−	0.474857i
$261$	1.46107	−	4.49672i	0.0904380	−	0.278340i
$262$	4.24245	+	13.0569i	0.262099	+	0.806659i
$263$	3.32703	+	10.2395i	0.205153	+	0.631396i	0.999707	+	0.0242029i	$0.00770477\pi$
$263$	3.32703	+	10.2395i	0.205153	+	0.631396i	−0.794554	+	0.607194i	$0.792295\pi$
$264$	1.53701	−	4.73043i	0.0945964	−	0.291138i
$265$	−10.3774	−	19.2831i	−0.637481	−	1.18455i
$266$	1.52229	+	4.68513i	0.0933376	+	0.287263i
$267$	7.84680	−	5.70103i	0.480216	−	0.348897i
$268$	4.06666			0.248411
$269$	−2.04735	+	1.48748i	−0.124829	+	0.0906935i	−0.648448	−	0.761259i	$-0.724582\pi$
$269$	−2.04735	+	1.48748i	−0.124829	+	0.0906935i	0.523619	+	0.851953i	$0.324582\pi$
$270$	0.878881	+	1.63311i	0.0534870	+	0.0993881i
$271$	23.8819	+	17.3512i	1.45072	+	1.05401i	0.985663	+	0.168729i	$0.0539661\pi$
$271$	23.8819	+	17.3512i	1.45072	+	1.05401i	0.465057	+	0.885281i	$0.346034\pi$
$272$	−1.57665	−	1.14550i	−0.0955985	−	0.0694564i
$273$	−1.11571	+	3.43380i	−0.0675258	+	0.207823i
$274$	15.3201			0.925521
$275$	8.47566	−	3.18157i	0.511101	−	0.191856i
$276$	−7.96104			−0.479198
$277$	−5.71358	+	17.5846i	−0.343296	+	1.05656i	0.619194	+	0.785238i	$0.287459\pi$
$277$	−5.71358	+	17.5846i	−0.343296	+	1.05656i	−0.962490	+	0.271318i	$0.912541\pi$
$278$	2.43652	+	1.77023i	0.146133	+	0.106172i
$279$	−2.00128	−	1.45401i	−0.119813	−	0.0870494i
$280$	−6.04383	+	1.09699i	−0.361188	+	0.0655576i
$281$	1.39172	−	1.01115i	0.0830232	−	0.0603199i	−0.545499	−	0.838111i	$-0.683660\pi$
$281$	1.39172	−	1.01115i	0.0830232	−	0.0603199i	0.628523	+	0.777791i	$0.283660\pi$
$282$	−4.05599			−0.241530
$283$	18.5321	−	13.4644i	1.10162	−	0.800373i	0.120296	−	0.992738i	$-0.461616\pi$
$283$	18.5321	−	13.4644i	1.10162	−	0.800373i	0.981323	+	0.192365i	$0.0616157\pi$
$284$	1.67229	+	5.14677i	0.0992320	+	0.305405i
$285$	11.9661	+	5.76213i	0.708813	+	0.341319i
$286$	−1.67549	+	5.15662i	−0.0990737	+	0.304917i
$287$	1.78694	+	5.49962i	0.105479	+	0.324632i
$288$	1.78640	+	5.49797i	0.105265	+	0.323971i
$289$	4.56064	−	14.0362i	0.268273	−	0.825659i
$290$	−8.62775	+	1.56598i	−0.506639	+	0.0919577i
$291$	−4.43509	−	13.6498i	−0.259990	−	0.800166i
$292$	17.3403	−	12.5984i	1.01476	−	0.737267i
$293$	11.5258			0.673342			0.336671	−	0.941622i	$-0.390699\pi$
$293$	11.5258			0.673342			0.336671	+	0.941622i	$0.390699\pi$
$294$	0.670995	−	0.487507i	0.0391332	−	0.0284320i
$295$	0.484275	−	3.57590i	0.0281956	−	0.208197i
$296$	14.7458	+	10.7134i	0.857081	+	0.622706i
$297$	1.46483	+	1.06426i	0.0849979	+	0.0617546i
$298$	4.14160	−	12.7465i	0.239916	−	0.738386i
$299$	21.9064			1.26688
$300$	−3.61382	+	5.47545i	−0.208644	+	0.316125i
$301$	3.13765			0.180851
$302$	4.05614	−	12.4835i	0.233404	−	0.718345i
$303$	−9.03644	−	6.56536i	−0.519130	−	0.377170i
$304$	1.66172	+	1.20731i	0.0953063	+	0.0692440i
$305$	−2.33392	+	2.44124i	−0.133640	+	0.139785i
$306$	−3.78137	+	2.74733i	−0.216167	+	0.157054i
$307$	−4.54212			−0.259232			−0.129616	−	0.991564i	$-0.541375\pi$
$307$	−4.54212			−0.259232			−0.129616	+	0.991564i	$0.541375\pi$
$308$	−1.92200	+	1.39642i	−0.109516	+	0.0795682i
$309$	4.59939	+	14.1555i	0.261650	+	0.805277i
$310$	−0.615682	+	4.54621i	−0.0349684	+	0.258208i
$311$	−1.23737	+	3.80822i	−0.0701646	+	0.215945i	−0.979990	−	0.199047i	$-0.936215\pi$
$311$	−1.23737	+	3.80822i	−0.0701646	+	0.215945i	0.909825	+	0.414991i	$0.136215\pi$
$312$	−3.06490	−	9.43280i	−0.173516	−	0.534027i
$313$	3.37703	+	10.3934i	0.190881	+	0.587471i	1.00000		0.000173705i	$-5.52921e-5\pi$
$313$	3.37703	+	10.3934i	0.190881	+	0.587471i	−0.809119	+	0.587645i	$0.800055\pi$
$314$	−3.17766	+	9.77984i	−0.179326	+	0.551908i
$315$	0.300086	−	2.21584i	0.0169079	−	0.124848i
$316$	3.58744	+	11.0410i	0.201809	+	0.621106i
$317$	20.0200	−	14.5454i	1.12444	−	0.816952i	0.139562	−	0.990213i	$-0.455431\pi$
$317$	20.0200	−	14.5454i	1.12444	−	0.816952i	0.984876	+	0.173261i	$0.0554305\pi$
$318$	−8.12239			−0.455481
$319$	−6.92589	+	5.03195i	−0.387775	+	0.281735i
$320$	6.34005	−	6.63158i	0.354419	−	0.370717i
$321$	−12.7049	−	9.23067i	−0.709120	−	0.515206i
$322$	−4.07119	−	2.95789i	−0.226879	−	0.164837i
$323$	−10.3435	+	31.8339i	−0.575525	+	1.77128i
$324$	−1.31210			−0.0728946
$325$	9.94415	−	15.0668i	0.551602	−	0.835755i
$326$	−16.0635			−0.889675
$327$	4.85248	−	14.9344i	0.268343	−	0.825874i
$328$	−12.8514	−	9.33708i	−0.709599	−	0.515554i
$329$	3.95633	+	2.87444i	0.218119	+	0.158473i
$330$	0.450646	−	3.32758i	0.0248073	−	0.183177i
$331$	−1.03933	+	0.755119i	−0.0571269	+	0.0415051i	−0.615982	−	0.787760i	$-0.711241\pi$
$331$	−1.03933	+	0.755119i	−0.0571269	+	0.0415051i	0.558855	+	0.829265i	$0.311241\pi$
$332$	−12.3178			−0.676029
$333$	−5.36787	+	3.89999i	−0.294158	+	0.213718i
$334$	2.25718	+	6.94689i	0.123508	+	0.380117i
$335$	6.81894	−	1.23767i	0.372558	−	0.0676214i
$336$	0.106864	−	0.328892i	0.00582989	−	0.0179426i
$337$	−2.56813	−	7.90389i	−0.139895	−	0.430553i	0.856424	−	0.516273i	$-0.172681\pi$
$337$	−2.56813	−	7.90389i	−0.139895	−	0.430553i	−0.996319	+	0.0857201i	$0.972681\pi$
$338$	0.00917022	+	0.0282230i	0.000498794	+	0.00153513i
$339$	−1.01788	+	3.13270i	−0.0552834	+	0.170145i
$340$	−14.8970	−	7.17345i	−0.807904	−	0.389035i
$341$	1.38408	+	4.25975i	0.0749520	+	0.230679i
$342$	3.98541	−	2.89557i	0.215506	−	0.156574i
$343$	−1.00000			−0.0539949
$344$	−6.97313	+	5.06628i	−0.375966	+	0.273155i
$345$	−13.3490	+	2.42292i	−0.718686	+	0.130445i
$346$	−10.0090	−	7.27199i	−0.538089	−	0.390945i
$347$	18.4757	+	13.4234i	0.991829	+	0.720606i	0.960321	−	0.278898i	$-0.0899690\pi$
$347$	18.4757	+	13.4234i	0.991829	+	0.720606i	0.0315080	+	0.999503i	$0.489969\pi$
$348$	1.91708	−	5.90015i	0.102766	−	0.316281i
$349$	−26.1054			−1.39739			−0.698695	−	0.715420i	$-0.746235\pi$
$349$	−26.1054			−1.39739			−0.698695	+	0.715420i	$0.746235\pi$
$350$	−3.88246	+	1.45739i	−0.207526	+	0.0779006i
$351$	3.61051			0.192715
$352$	3.23450	−	9.95477i	0.172399	−	0.530591i
$353$	29.7778	+	21.6349i	1.58491	+	1.15151i	0.910774	+	0.412904i	$0.135486\pi$
$353$	29.7778	+	21.6349i	1.58491	+	1.15151i	0.674140	+	0.738604i	$0.264514\pi$
$354$	−1.08285	−	0.786733i	−0.0575526	−	0.0418144i
$355$	4.37048	+	8.12110i	0.231961	+	0.431023i
$356$	10.2958	−	7.48034i	0.545676	−	0.396457i
$357$	5.63547			0.298261
$358$	12.9854	−	9.43441i	0.686297	−	0.498624i
$359$	7.03455	+	21.6501i	0.371270	+	1.14265i	0.945961	+	0.324280i	$0.105122\pi$
$359$	7.03455	+	21.6501i	0.371270	+	1.14265i	−0.574692	+	0.818370i	$0.694878\pi$
$360$	2.91094	+	5.40904i	0.153420	+	0.285081i
$361$	5.03023	−	15.4815i	0.264749	−	0.814814i
$362$	0.594870	+	1.83082i	0.0312657	+	0.0962259i
$363$	2.38612	+	7.34371i	0.125239	+	0.385445i
$364$	−1.46392	+	4.50550i	−0.0767305	+	0.236152i
$365$	25.2417	−	26.4024i	1.32121	−	1.38196i
$366$	0.387116	+	1.19142i	0.0202349	+	0.0622766i
$367$	−16.0532	+	11.6633i	−0.837970	+	0.608821i	−0.921803	−	0.387659i	$-0.873284\pi$
$367$	−16.0532	+	11.6633i	−0.837970	+	0.608821i	0.0838327	+	0.996480i	$0.473284\pi$
$368$	−2.09821			−0.109377
$369$	4.67826	−	3.39895i	0.243540	−	0.176942i
$370$	11.0868	+	5.33871i	0.576377	+	0.277547i
$371$	7.92281	+	5.75626i	0.411332	+	0.298850i
$372$	−2.62588	−	1.90781i	−0.136146	−	0.0989155i
$373$	−9.57705	+	29.4751i	−0.495881	+	1.52616i	0.319699	+	0.947519i	$0.396418\pi$
$373$	−9.57705	+	29.4751i	−0.495881	+	1.52616i	−0.815579	+	0.578645i	$0.803582\pi$
$374$	8.46293			0.437608
$375$	−4.39319	+	10.2810i	−0.226863	+	0.530911i
$376$	−13.4338			−0.692797
$377$	−5.27521	+	16.2354i	−0.271687	+	0.836167i
$378$	−0.670995	−	0.487507i	−0.0345123	−	0.0250746i
$379$	−3.28071	−	2.38358i	−0.168519	−	0.122436i	0.500329	−	0.865835i	$-0.333212\pi$
$379$	−3.28071	−	2.38358i	−0.168519	−	0.122436i	−0.668848	+	0.743399i	$0.733212\pi$
$380$	15.7008	+	7.56051i	0.805435	+	0.387846i
$381$	−7.21887	+	5.24481i	−0.369834	+	0.268700i
$382$	3.19331			0.163384
$383$	−5.25854	+	3.82055i	−0.268699	+	0.195221i	−0.713973	−	0.700173i	$-0.753106\pi$
$383$	−5.25854	+	3.82055i	−0.268699	+	0.195221i	0.445274	+	0.895394i	$0.353106\pi$
$384$	2.52120	+	7.75946i	0.128660	+	0.395974i
$385$	−2.79780	+	2.92645i	−0.142589	+	0.149146i
$386$	4.19423	−	12.9085i	0.213481	−	0.657026i
$387$	−0.969587	−	2.98408i	−0.0492869	−	0.151689i
$388$	−5.81929	−	17.9099i	−0.295430	−	0.909239i
$389$	5.48568	−	16.8832i	0.278135	−	0.856012i	−0.710238	−	0.703962i	$-0.751413\pi$
$389$	5.48568	−	16.8832i	0.278135	−	0.856012i	0.988373	−	0.152050i	$-0.0485874\pi$
$390$	−3.17321	−	5.89637i	−0.160682	−	0.298574i
$391$	−10.5661	−	32.5191i	−0.534351	−	1.64456i
$392$	2.22241	−	1.61467i	0.112248	−	0.0815533i
$393$	−16.5528			−0.834980
$394$	−10.0849	+	7.32714i	−0.508072	+	0.369136i
$395$	9.37569	+	17.4216i	0.471742	+	0.876578i
$396$	1.92200	+	1.39642i	0.0965843	+	0.0701726i
$397$	−16.3558	−	11.8832i	−0.820873	−	0.596399i	0.0960892	−	0.995373i	$-0.469367\pi$
$397$	−16.3558	−	11.8832i	−0.820873	−	0.596399i	−0.916963	+	0.398973i	$0.869367\pi$
$398$	−1.50407	+	4.62905i	−0.0753922	+	0.232033i
$399$	−5.93954			−0.297349
$400$	−0.952460	+	1.44311i	−0.0476230	+	0.0721556i
$401$	−20.1615			−1.00682			−0.503409	−	0.864048i	$-0.667921\pi$
$401$	−20.1615			−1.00682			−0.503409	+	0.864048i	$0.667921\pi$
$402$	0.794355	−	2.44477i	0.0396188	−	0.121934i
$403$	7.22563	+	5.24973i	0.359934	+	0.261507i
$404$	−11.8567	−	8.61442i	−0.589895	−	0.428583i
$405$	−2.20012	+	0.399334i	−0.109325	+	0.0198431i
$406$	3.17255	−	2.30499i	0.157451	−	0.114395i
$407$	12.0136			0.595492
$408$	−12.5243	+	9.09944i	−0.620045	+	0.450489i
$409$	8.46184	+	26.0429i	0.418411	+	1.28774i	0.909164	+	0.416438i	$0.136722\pi$
$409$	8.46184	+	26.0429i	0.418411	+	1.28774i	−0.490753	+	0.871299i	$0.663278\pi$
$410$	−9.66251	−	4.65285i	−0.477197	−	0.229788i
$411$	−5.70797	+	17.5673i	−0.281554	+	0.866533i
$412$	6.03487	+	18.5734i	0.297317	+	0.915047i
$413$	0.498688	+	1.53480i	0.0245388	+	0.0755228i
$414$	−1.55506	+	4.78597i	−0.0764269	+	0.235218i
$415$	−20.6544	+	3.74889i	−1.01389	+	0.184026i
$416$	−6.44981	−	19.8505i	−0.316228	−	0.973250i
$417$	−2.93770	+	2.13436i	−0.143860	+	0.104520i
$418$	−8.91956			−0.436270
$419$	−20.9516	+	15.2222i	−1.02355	+	0.743654i	−0.967008	−	0.254747i	$-0.918008\pi$
$419$	−20.9516	+	15.2222i	−1.02355	+	0.743654i	−0.0565435	+	0.998400i	$0.518008\pi$
$420$	0.393743	−	2.90741i	0.0192127	−	0.141867i
$421$	23.9758	+	17.4195i	1.16851	+	0.848973i	0.990830	−	0.135116i	$-0.0431406\pi$
$421$	23.9758	+	17.4195i	1.16851	+	0.848973i	0.177681	+	0.984088i	$0.443141\pi$
$422$	6.28921	+	4.56938i	0.306154	+	0.222434i
$423$	1.51118	−	4.65094i	0.0734762	−	0.226136i
$424$	−26.9022			−1.30649
$425$	−27.1624	−	7.49452i	−1.31757	−	0.363538i
$426$	3.42076			0.165736
$427$	0.466745	−	1.43649i	0.0225874	−	0.0695168i
$428$	−16.6702	−	12.1116i	−0.805783	−	0.585436i
$429$	−5.28877	−	3.84252i	−0.255344	−	0.185518i
$430$	−4.02119	+	4.20610i	−0.193919	+	0.202836i
$431$	−17.1006	+	12.4243i	−0.823707	+	0.598458i	−0.917772	−	0.397108i	$-0.870014\pi$
$431$	−17.1006	+	12.4243i	−0.823707	+	0.598458i	0.0940652	+	0.995566i	$0.470014\pi$
$432$	−0.345818			−0.0166382
$433$	31.3537	−	22.7798i	1.50676	−	1.09473i	0.539176	−	0.842193i	$-0.318736\pi$
$433$	31.3537	−	22.7798i	1.50676	−	1.09473i	0.967588	−	0.252535i	$-0.0812643\pi$
$434$	−0.634006	−	1.95127i	−0.0304333	−	0.0936640i
$435$	1.41884	−	10.4768i	0.0680283	−	0.502323i
$436$	6.36695	−	19.5955i	0.304922	−	0.938452i
$437$	11.1362	+	34.2737i	0.532717	+	1.63954i
$438$	−4.18672	−	12.8854i	−0.200049	−	0.615689i
$439$	−7.31362	+	22.5090i	−0.349060	+	1.07430i	0.610314	+	0.792160i	$0.291043\pi$
$439$	−7.31362	+	22.5090i	−0.349060	+	1.07430i	−0.959374	+	0.282137i	$0.908957\pi$
$440$	1.49259	−	11.0213i	0.0711563	−	0.525420i
$441$	0.309017	+	0.951057i	0.0147151	+	0.0452884i
$442$	13.6527	−	9.91926i	0.649392	−	0.471811i
$443$	3.88148			0.184415			0.0922073	−	0.995740i	$-0.470608\pi$
$443$	3.88148			0.184415			0.0922073	+	0.995740i	$0.470608\pi$
$444$	−7.04320	+	5.11718i	−0.334255	+	0.242851i
$445$	14.9873	−	15.6765i	0.710466	−	0.743135i
$446$	−6.60172	−	4.79643i	−0.312601	−	0.227118i
$447$	13.0732	+	9.49822i	0.618340	+	0.449250i
$448$	−1.26790	+	3.90221i	−0.0599029	+	0.184362i
$449$	−25.3447			−1.19609			−0.598044	−	0.801463i	$-0.704055\pi$
$449$	−25.3447			−1.19609			−0.598044	+	0.801463i	$0.704055\pi$
$450$	2.58580	+	3.24208i	0.121896	+	0.152833i
$451$	−10.4702			−0.493023
$452$	−1.33556	+	4.11042i	−0.0628193	+	0.193338i
$453$	12.8034	+	9.30223i	0.601557	+	0.437057i
$454$	−4.61678	−	3.35429i	−0.216676	−	0.157425i
$455$	−1.08346	+	8.00031i	−0.0507935	+	0.375060i
$456$	13.2001	−	9.59041i	0.618150	−	0.449112i
$457$	−35.1957			−1.64638			−0.823192	−	0.567763i	$-0.807809\pi$
$457$	−35.1957			−1.64638			−0.823192	+	0.567763i	$0.807809\pi$
$458$	4.05811	−	2.94839i	0.189623	−	0.137769i
$459$	−1.74146	−	5.35965i	−0.0812842	−	0.250167i
$460$	−17.5153	+	3.17911i	−0.816653	+	0.148227i
$461$	3.19574	−	9.83547i	0.148840	−	0.458084i	−0.848644	−	0.528964i	$-0.822581\pi$
$461$	3.19574	−	9.83547i	0.148840	−	0.458084i	0.997485	+	0.0708800i	$0.0225807\pi$
$462$	0.464059	+	1.42823i	0.0215900	+	0.0664471i
$463$	−1.63980	−	5.04679i	−0.0762080	−	0.234544i	0.905695	−	0.423931i	$-0.139350\pi$
$463$	−1.63980	−	5.04679i	−0.0762080	−	0.234544i	−0.981903	+	0.189387i	$0.939350\pi$
$464$	0.505265	−	1.55504i	0.0234563	−	0.0721911i
$465$	−4.98369	−	2.39983i	−0.231113	−	0.111289i
$466$	−1.12453	−	3.46096i	−0.0520930	−	0.160326i
$467$	17.9968	−	13.0754i	0.832790	−	0.605058i	−0.0875571	−	0.996160i	$-0.527906\pi$
$467$	17.9968	−	13.0754i	0.832790	−	0.605058i	0.920347	+	0.391102i	$0.127906\pi$
$468$	4.73736			0.218984
$469$	−2.50743	+	1.82175i	−0.115782	+	0.0841206i
$470$	−8.92366	+	1.61969i	−0.411618	+	0.0747109i
$471$	−10.0305	−	7.28756i	−0.462180	−	0.335793i
$472$	−3.58649	−	2.60574i	−0.165082	−	0.119939i
$473$	−1.75556	+	5.40306i	−0.0807207	+	0.248433i
$474$	7.33832			0.337060
$475$	28.6280	+	7.89890i	1.31354	+	0.362426i
$476$	7.39432			0.338918
$477$	3.02625	−	9.31383i	0.138562	−	0.426451i
$478$	−7.57514	−	5.50366i	−0.346479	−	0.251732i
$479$	28.0906	+	20.4090i	1.28349	+	0.932510i	0.999652	−	0.0263619i	$-0.00839223\pi$
$479$	28.0906	+	20.4090i	1.28349	+	0.932510i	0.283838	+	0.958872i	$0.408392\pi$
$480$	6.12582	+	11.3828i	0.279604	+	0.519553i
$481$	19.3808	−	14.0809i	0.883686	−	0.642036i
$482$	−7.02885			−0.320155
$483$	4.90862	−	3.56632i	0.223350	−	0.162273i
$484$	3.13083	+	9.63570i	0.142310	+	0.437986i
$485$	−15.2086	−	28.2601i	−0.690585	−	1.28323i
$486$	−0.256297	+	0.788802i	−0.0116259	+	0.0357808i
$487$	6.62017	+	20.3748i	0.299989	+	0.923270i	0.981500	+	0.191463i	$0.0613231\pi$
$487$	6.62017	+	20.3748i	0.299989	+	0.923270i	−0.681511	+	0.731808i	$0.738677\pi$
$488$	1.28217	+	3.94611i	0.0580410	+	0.178632i
$489$	5.98496	−	18.4198i	0.270649	−	0.832972i
$490$	1.28159	−	1.34052i	0.0578965	−	0.0605587i
$491$	−5.54507	−	17.0660i	−0.250245	−	0.770176i	−0.994729	−	0.102536i	$-0.967304\pi$
$491$	−5.54507	−	17.0660i	−0.250245	−	0.770176i	0.744484	−	0.667640i	$-0.232696\pi$
$492$	6.13835	−	4.45978i	0.276738	−	0.201062i
$493$	26.6452			1.20004
$494$	−14.3893	+	10.4545i	−0.647407	+	0.470369i
$495$	3.64779	+	1.75654i	0.163956	+	0.0789508i
$496$	−0.692077	−	0.502824i	−0.0310752	−	0.0225774i
$497$	−3.33671	−	2.42426i	−0.149672	−	0.108743i
$498$	−2.40609	+	7.40517i	−0.107819	+	0.331834i
$499$	−11.3976			−0.510225			−0.255112	−	0.966911i	$-0.582112\pi$
$499$	−11.3976			−0.510225			−0.255112	+	0.966911i	$0.582112\pi$
$500$	−5.76432	+	13.4898i	−0.257788	+	0.603281i
$501$	−8.80689			−0.393463
$502$	−1.96506	+	6.04782i	−0.0877048	+	0.269928i
$503$	30.1589	+	21.9117i	1.34472	+	0.976995i	0.999256	+	0.0385626i	$0.0122779\pi$
$503$	30.1589	+	21.9117i	1.34472	+	0.976995i	0.345462	+	0.938433i	$0.387722\pi$
$504$	−2.22241	−	1.61467i	−0.0989938	−	0.0719232i
$505$	−22.5030	−	10.8360i	−1.00137	−	0.482197i
$506$	7.37140	−	5.35564i	0.327699	−	0.238087i
$507$	−0.0357796			−0.00158903
$508$	−9.47189	+	6.88173i	−0.420247	+	0.305328i
$509$	−6.78458	−	20.8808i	−0.300721	−	0.925525i	−0.981239	−	0.192794i	$-0.938245\pi$
$509$	−6.78458	−	20.8808i	−0.300721	−	0.925525i	0.680518	−	0.732731i	$-0.261755\pi$
$510$	−7.22238	+	7.55449i	−0.319812	+	0.334518i
$511$	−5.04792	+	15.5359i	−0.223307	+	0.687268i
$512$	1.20489	+	3.70826i	0.0532490	+	0.163884i
$513$	1.83542	+	5.64884i	0.0810358	+	0.249402i
$514$	0.00784691	−	0.0241503i	0.000346112	−	0.00106522i
$515$	15.7720	+	29.3071i	0.694996	+	1.29142i
$516$	−1.27220	−	3.91542i	−0.0560054	−	0.172367i
$517$	−7.16343	+	5.20453i	−0.315047	+	0.228895i
$518$	−5.50309			−0.241792
$519$	12.0679	−	8.76782i	0.529720	−	0.384864i
$520$	−10.5100	−	19.5294i	−0.460894	−	0.856420i
$521$	10.6212	+	7.71678i	0.465325	+	0.338078i	0.795617	−	0.605801i	$-0.207147\pi$
$521$	10.6212	+	7.71678i	0.465325	+	0.338078i	−0.330292	+	0.943879i	$0.607147\pi$
$522$	−3.17255	−	2.30499i	−0.138859	−	0.100887i
$523$	5.25840	−	16.1837i	0.229934	−	0.707664i	−0.767819	−	0.640666i	$-0.778658\pi$
$523$	5.25840	−	16.1837i	0.229934	−	0.707664i	0.997753	−	0.0669972i	$-0.0213419\pi$
$524$	−21.7190			−0.948799
$525$	−0.224636	−	4.99495i	−0.00980391	−	0.217998i
$526$	8.92967			0.389352
$527$	4.30786	−	13.2582i	0.187654	−	0.577538i
$528$	0.506563	+	0.368040i	0.0220453	+	0.0160169i
$529$	−11.1752	−	8.11923i	−0.485877	−	0.353010i
$530$	−17.8702	+	3.24355i	−0.776233	+	0.140891i
$531$	1.30558	−	0.948562i	0.0566575	−	0.0411641i
$532$	−7.79329			−0.337882
$533$	−16.8909	+	12.2720i	−0.731626	+	0.531557i
$534$	−2.48587	−	7.65073i	−0.107574	−	0.331080i
$535$	−31.6385	−	15.2351i	−1.36785	−	0.658670i
$536$	2.63098	−	8.09734i	0.113641	−	0.349752i
$537$	5.98021	+	18.4052i	0.258065	+	0.794243i
$538$	0.648601	+	1.99619i	0.0279632	+	0.0860618i
$539$	0.559514	−	1.72201i	0.0241000	−	0.0741721i
$540$	−2.88678	+	0.523967i	−0.124227	+	0.0225480i
$541$	−10.4586	−	32.1883i	−0.449651	−	1.38388i	−0.877301	−	0.479940i	$-0.840658\pi$
$541$	−10.4586	−	32.1883i	−0.449651	−	1.38388i	0.427650	−	0.903944i	$-0.359342\pi$
$542$	19.8075	−	14.3910i	0.850805	−	0.618146i
$543$	−2.32101			−0.0996043
$544$	−26.3563	+	19.1489i	−1.13002	+	0.821004i
$545$	4.71223	−	34.7952i	0.201850	−	1.49046i
$546$	2.42264	+	1.76015i	0.103679	+	0.0753274i
$547$	31.7868	+	23.0945i	1.35911	+	0.987448i	0.998501	+	0.0547286i	$0.0174294\pi$
$547$	31.7868	+	23.0945i	1.35911	+	0.987448i	0.360604	+	0.932719i	$0.382571\pi$
$548$	−7.48945	+	23.0501i	−0.319933	+	0.984653i
$549$	−1.51042			−0.0644631
$550$	−0.337341	−	7.50104i	−0.0143843	−	0.319846i
$551$	−28.0829			−1.19637
$552$	−5.15051	+	15.8516i	−0.219220	+	0.674690i
$553$	−7.15801	−	5.20060i	−0.304390	−	0.221152i
$554$	12.4064	+	9.01377i	0.527097	+	0.382958i
$555$	−10.2526	+	10.7240i	−0.435197	+	0.455209i
$556$	−3.85456	+	2.80050i	−0.163470	+	0.118768i
$557$	−1.77411			−0.0751714			−0.0375857	−	0.999293i	$-0.511967\pi$
$557$	−1.77411			−0.0751714			−0.0375857	+	0.999293i	$0.511967\pi$
$558$	−1.65985	+	1.20595i	−0.0702671	+	0.0510520i
$559$	3.50070	+	10.7741i	0.148064	+	0.455694i
$560$	0.103775	−	0.766277i	0.00438529	−	0.0323811i
$561$	−3.15312	+	9.70432i	−0.133125	+	0.409717i
$562$	−0.440899	−	1.35695i	−0.0185982	−	0.0572394i
$563$	−7.17080	−	22.0695i	−0.302213	−	0.930117i	−0.980702	−	0.195507i	$-0.937365\pi$
$563$	−7.17080	−	22.0695i	−0.302213	−	0.930117i	0.678489	−	0.734611i	$-0.262635\pi$
$564$	1.98283	−	6.10251i	0.0834920	−	0.256962i
$565$	−0.988456	+	7.29879i	−0.0415847	+	0.307062i
$566$	−5.87099	−	18.0690i	−0.246776	−	0.759499i
$567$	0.809017	−	0.587785i	0.0339755	−	0.0246847i
$568$	11.3299			0.475392
$569$	8.37924	−	6.08788i	0.351276	−	0.255217i	−0.398128	−	0.917330i	$-0.630340\pi$
$569$	8.37924	−	6.08788i	0.351276	−	0.255217i	0.749404	+	0.662113i	$0.230340\pi$
$570$	7.61208	−	7.96210i	0.318835	−	0.333496i
$571$	−31.8801	−	23.1622i	−1.33414	−	0.969309i	−0.999638	−	0.0269145i	$-0.991432\pi$
$571$	−31.8801	−	23.1622i	−1.33414	−	0.969309i	−0.334502	−	0.942395i	$-0.608568\pi$
$572$	−6.93941	−	5.04178i	−0.290151	−	0.210807i
$573$	−1.18977	+	3.66173i	−0.0497032	+	0.152971i
$574$	4.79610			0.200185
$575$	−28.4019	+	10.6614i	−1.18444	+	0.444612i
$576$	4.10303			0.170959
$577$	10.0606	−	30.9633i	0.418827	−	1.28902i	−0.489956	−	0.871747i	$-0.662987\pi$
$577$	10.0606	−	30.9633i	0.418827	−	1.28902i	0.908783	−	0.417270i	$-0.137013\pi$
$578$	−9.90290	−	7.19488i	−0.411907	−	0.299268i
$579$	13.2393	+	9.61893i	0.550208	+	0.399749i
$580$	1.86167	−	13.7466i	0.0773015	−	0.570796i
$581$	7.59494	−	5.51805i	0.315091	−	0.228927i
$582$	−11.9037			−0.493424
$583$	−14.3452	+	10.4224i	−0.594119	+	0.431653i
$584$	−13.8669	−	42.6778i	−0.573815	−	1.76602i
$585$	7.94356	−	1.44180i	0.328426	−	0.0596111i
$586$	2.95402	−	9.09155i	0.122030	−	0.375568i
$587$	9.87452	+	30.3906i	0.407565	+	1.25436i	0.918734	+	0.394876i	$0.129212\pi$
$587$	9.87452	+	30.3906i	0.407565	+	1.25436i	−0.511169	+	0.859480i	$0.670788\pi$
$588$	0.405462	+	1.24788i	0.0167210	+	0.0514619i
$589$	−4.54030	+	13.9736i	−0.187080	+	0.575773i
$590$	−2.69656	−	1.29849i	−0.111016	−	0.0534580i
$591$	−4.64447	−	14.2942i	−0.191048	−	0.587985i
$592$	−1.85631	+	1.34869i	−0.0762937	+	0.0554306i
$593$	−36.2657			−1.48925			−0.744626	−	0.667482i	$-0.767372\pi$
$593$	−36.2657			−1.48925			−0.744626	+	0.667482i	$0.767372\pi$
$594$	1.21492	−	0.882692i	0.0498488	−	0.0362173i
$595$	12.3987	−	2.25043i	0.508298	−	0.0922588i
$596$	17.1534	+	12.4626i	0.702629	+	0.510490i
$597$	−4.74768	−	3.44939i	−0.194310	−	0.141174i
$598$	5.61455	−	17.2798i	0.229596	−	0.706624i
$599$	−5.48121			−0.223956			−0.111978	−	0.993711i	$-0.535719\pi$
$599$	−5.48121			−0.223956			−0.111978	+	0.993711i	$0.535719\pi$
$600$	8.56444	+	10.7381i	0.349642	+	0.438381i
$601$	−18.8047			−0.767059			−0.383529	−	0.923529i	$-0.625292\pi$
$601$	−18.8047			−0.767059			−0.383529	+	0.923529i	$0.625292\pi$
$602$	0.804172	−	2.47499i	0.0327756	−	0.100873i
$603$	2.50743	+	1.82175i	0.102110	+	0.0741874i
$604$	16.7994	+	12.2055i	0.683558	+	0.496634i
$605$	8.18234	+	15.2042i	0.332659	+	0.618138i
$606$	−7.49478	+	5.44528i	−0.304455	+	0.221199i
$607$	17.7616			0.720922			0.360461	−	0.932774i	$-0.382619\pi$
$607$	17.7616			0.720922			0.360461	+	0.932774i	$0.382619\pi$
$608$	27.7784	−	20.1822i	1.12656	−	0.818495i
$609$	1.46107	+	4.49672i	0.0592056	+	0.182216i
$610$	1.32748	+	2.46668i	0.0537480	+	0.0998730i
$611$	−5.45614	+	16.7923i	−0.220732	+	0.679342i
$612$	−2.28497	−	7.03241i	−0.0923644	−	0.284268i
$613$	10.9556	+	33.7179i	0.442493	+	1.36185i	0.885209	+	0.465193i	$0.154015\pi$
$613$	10.9556	+	33.7179i	0.442493	+	1.36185i	−0.442716	+	0.896662i	$0.645985\pi$
$614$	−1.16413	+	3.58283i	−0.0469806	+	0.144591i
$615$	8.93542	−	9.34630i	0.360311	−	0.376879i
$616$	1.53701	+	4.73043i	0.0619279	+	0.190594i
$617$	13.8045	−	10.0295i	0.555746	−	0.403773i	−0.274153	−	0.961686i	$-0.588398\pi$
$617$	13.8045	−	10.0295i	0.555746	−	0.403773i	0.829900	+	0.557913i	$0.188398\pi$
$618$	12.3447			0.496576
$619$	32.7851	−	23.8198i	1.31775	−	0.957398i	0.317788	−	0.948162i	$-0.397060\pi$
$619$	32.7851	−	23.8198i	1.31775	−	0.957398i	0.999957	−	0.00923650i	$-0.00294011\pi$
$620$	−6.53911	−	3.14882i	−0.262617	−	0.126460i
$621$	−4.90862	−	3.56632i	−0.196976	−	0.143112i
$622$	2.68680	+	1.95208i	0.107731	+	0.0782711i
$623$	−2.99721	+	9.22446i	−0.120081	+	0.369570i
$624$	1.24858			0.0499832
$625$	−5.55998	+	24.3739i	−0.222399	+	0.974956i
$626$	9.06388			0.362266
$627$	3.32326	−	10.2279i	0.132718	−	0.408464i
$628$	−13.1610	−	9.56203i	−0.525181	−	0.381567i
$629$	−30.2505	−	21.9783i	−1.20617	−	0.876331i
$630$	−1.67095	−	0.804622i	−0.0665722	−	0.0320569i
$631$	13.5581	−	9.85054i	0.539739	−	0.392144i	−0.284249	−	0.958751i	$-0.591744\pi$
$631$	13.5581	−	9.85054i	0.539739	−	0.392144i	0.823988	+	0.566607i	$0.191744\pi$
$632$	24.3053			0.966812
$633$	−7.58288	+	5.50928i	−0.301392	+	0.218974i
$634$	−6.34237	−	19.5198i	−0.251888	−	0.775231i
$635$	−13.7879	+	14.4220i	−0.547158	+	0.572318i
$636$	3.97074	−	12.2207i	0.157450	−	0.484582i
$637$	−1.11571	−	3.43380i	−0.0442060	−	0.136052i
$638$	2.19413	+	6.75283i	0.0868663	+	0.267347i
$639$	−1.27451	+	3.92254i	−0.0504188	+	0.155173i
$640$	8.64557	+	16.0650i	0.341746	+	0.635023i
$641$	−3.58256	−	11.0260i	−0.141503	−	0.435500i	0.855042	−	0.518559i	$-0.173531\pi$
$641$	−3.58256	−	11.0260i	−0.141503	−	0.435500i	−0.996545	+	0.0830585i	$0.973531\pi$
$642$	−10.5374	+	7.65588i	−0.415879	+	0.302153i
$643$	19.9594			0.787121			0.393561	−	0.919299i	$-0.371243\pi$
$643$	19.9594			0.787121			0.393561	+	0.919299i	$0.371243\pi$
$644$	6.44062	−	4.67938i	0.253796	−	0.184394i
$645$	−3.32485	−	6.17815i	−0.130916	−	0.243265i
$646$	22.4596	+	16.3179i	0.883663	+	0.642018i
$647$	−5.34281	−	3.88178i	−0.210047	−	0.152608i	0.477788	−	0.878475i	$-0.341439\pi$
$647$	−5.34281	−	3.88178i	−0.210047	−	0.152608i	−0.687835	+	0.725867i	$0.741439\pi$
$648$	−0.848883	+	2.61259i	−0.0333473	+	0.102632i
$649$	−2.92197			−0.114697
$650$	−9.33606	−	11.7056i	−0.366190	−	0.459130i
$651$	2.47371			0.0969525
$652$	7.85287	−	24.1687i	0.307542	−	0.946518i
$653$	−17.8606	−	12.9765i	−0.698939	−	0.507809i	0.180648	−	0.983548i	$-0.442181\pi$
$653$	−17.8606	−	12.9765i	−0.698939	−	0.507809i	−0.879586	+	0.475739i	$0.842181\pi$
$654$	−10.5366	−	7.65530i	−0.412014	−	0.299346i
$655$	−36.4182	+	6.61011i	−1.42298	+	0.258278i
$656$	1.61783	−	1.17542i	0.0631655	−	0.0458924i
$657$	16.3354			0.637305
$658$	3.28136	−	2.38405i	0.127921	−	0.0929399i
$659$	−5.07568	−	15.6214i	−0.197721	−	0.608521i	−0.999934	−	0.0114841i	$-0.996344\pi$
$659$	−5.07568	−	15.6214i	−0.197721	−	0.608521i	0.802213	−	0.597037i	$-0.203656\pi$
$660$	4.78628	+	2.30476i	0.186306	+	0.0897129i
$661$	−11.8600	+	36.5012i	−0.461299	+	1.41973i	0.402278	+	0.915517i	$0.368218\pi$
$661$	−11.8600	+	36.5012i	−0.461299	+	1.41973i	−0.863578	+	0.504216i	$0.831782\pi$
$662$	0.329262	+	1.01336i	0.0127971	+	0.0393855i
$663$	6.28754	+	19.3511i	0.244188	+	0.751533i
$664$	−7.96920	+	24.5267i	−0.309265	+	0.951820i
$665$	−13.0677	+	2.37186i	−0.506744	+	0.0919768i
$666$	1.70055	+	5.23375i	0.0658949	+	0.202804i
$667$	23.2086	−	16.8620i	0.898640	−	0.652900i
$668$	−11.5555			−0.447097
$669$	7.95968	−	5.78305i	0.307739	−	0.223585i
$670$	0.771396	−	5.69601i	0.0298016	−	0.220056i
$671$	2.21250	+	1.60748i	0.0854126	+	0.0620559i
$672$	−4.67685	−	3.39793i	−0.180414	−	0.131078i
$673$	−2.94988	+	9.07880i	−0.113710	+	0.349962i	−0.991676	−	0.128761i	$-0.958900\pi$
$673$	−2.94988	+	9.07880i	−0.113710	+	0.349962i	0.877966	+	0.478723i	$0.158900\pi$
$674$	−6.89282			−0.265501
$675$	−4.68106	+	1.75717i	−0.180174	+	0.0676334i
$676$	−0.0469465			−0.00180564
$677$	−2.95210	+	9.08564i	−0.113458	+	0.349189i	−0.991622	−	0.129171i	$-0.958769\pi$
$677$	−2.95210	+	9.08564i	−0.113458	+	0.349189i	0.878164	+	0.478360i	$0.158769\pi$
$678$	2.21020	+	1.60581i	0.0848823	+	0.0616706i
$679$	11.6112	+	8.43604i	0.445598	+	0.323746i
$680$	−23.9213	+	25.0212i	−0.917339	+	0.959521i
$681$	5.56644	−	4.04426i	0.213306	−	0.154976i
$682$	3.71484			0.142249
$683$	31.2985	−	22.7397i	1.19760	−	0.870109i	0.203555	−	0.979063i	$-0.434750\pi$
$683$	31.2985	−	22.7397i	1.19760	−	0.870109i	0.994047	+	0.108955i	$0.0347503\pi$
$684$	2.40826	+	7.41186i	0.0920821	+	0.283399i
$685$	−5.54300	+	40.9297i	−0.211787	+	1.56384i
$686$	−0.256297	+	0.788802i	−0.00978548	+	0.0301166i
$687$	1.86890	+	5.75190i	0.0713031	+	0.219449i
$688$	−0.335301	−	1.03195i	−0.0127832	−	0.0393427i
$689$	−10.9263	+	33.6277i	−0.416258	+	1.28111i
$690$	−1.51011	+	11.1507i	−0.0574890	+	0.424500i
$691$	3.67224	+	11.3020i	0.139698	+	0.429948i	0.996291	−	0.0860454i	$-0.0274230\pi$
$691$	3.67224	+	11.3020i	0.139698	+	0.429948i	−0.856593	+	0.515993i	$0.827423\pi$
$692$	15.8343	−	11.5043i	0.601929	−	0.437327i
$693$	−1.81063			−0.0687800
$694$	15.3237	−	11.1333i	0.581679	−	0.422615i
$695$	−5.61097	+	5.86898i	−0.212836	+	0.222623i
$696$	−10.5078	−	7.63437i	−0.398298	−	0.289380i
$697$	26.3642	+	19.1547i	0.998615	+	0.725536i
$698$	−6.69074	+	20.5920i	−0.253248	+	0.779418i
$699$	4.38761			0.165955
$700$	−0.294745	−	6.55389i	−0.0111403	−	0.247714i
$701$	−4.08829			−0.154413			−0.0772063	−	0.997015i	$-0.524600\pi$
$701$	−4.08829			−0.154413			−0.0772063	+	0.997015i	$0.524600\pi$
$702$	0.925364	−	2.84798i	0.0349256	−	0.107490i
$703$	31.8827	+	23.1641i	1.20248	+	0.873652i
$704$	−6.01022	−	4.36668i	−0.226519	−	0.164576i
$705$	1.46751	−	10.8361i	0.0552694	−	0.408111i
$706$	24.6976	−	17.9439i	0.929507	−	0.675326i
$707$	11.1697			0.420078
$708$	1.71306	−	1.24461i	0.0643807	−	0.0467753i
$709$	6.10898	+	18.8015i	0.229428	+	0.706105i	0.997812	+	0.0661167i	$0.0210609\pi$
$709$	6.10898	+	18.8015i	0.229428	+	0.706105i	−0.768384	+	0.639989i	$0.778939\pi$
$710$	7.52608	−	1.36603i	0.282449	−	0.0512660i
$711$	−2.73412	+	8.41475i	−0.102537	+	0.315578i
$712$	−8.23347	−	25.3400i	−0.308562	−	0.949657i
$713$	−4.63803	−	14.2744i	−0.173696	−	0.534581i
$714$	1.44436	−	4.44527i	0.0540537	−	0.166360i
$715$	−13.1704	−	6.34202i	−0.492544	−	0.237178i
$716$	7.84665	+	24.1495i	0.293243	+	0.902510i
$717$	9.13332	−	6.63574i	0.341090	−	0.247816i
$718$	18.8806			0.704618
$719$	22.5779	−	16.4038i	0.842014	−	0.611759i	−0.0809184	−	0.996721i	$-0.525785\pi$
$719$	22.5779	−	16.4038i	0.842014	−	0.611759i	0.922933	+	0.384962i	$0.125785\pi$
$720$	−0.760841	+	0.138097i	−0.0283549	+	0.00514657i
$721$	−12.0414	−	8.74856i	−0.448444	−	0.325814i
$722$	−10.9226	−	7.93572i	−0.406496	−	0.295337i
$723$	2.61881	−	8.05988i	0.0973948	−	0.299750i
$724$	−3.04541			−0.113182
$725$	−1.06211	−	23.6168i	−0.0394456	−	0.877104i
$726$	6.40429			0.237686
$727$	−4.90581	+	15.0985i	−0.181946	+	0.559974i	−0.999882	−	0.0153357i	$-0.995118\pi$
$727$	−4.90581	+	15.0985i	−0.181946	+	0.559974i	0.817936	+	0.575309i	$0.195118\pi$
$728$	8.02402	+	5.82979i	0.297390	+	0.216066i
$729$	−0.809017	−	0.587785i	−0.0299636	−	0.0217698i
$730$	−14.3569	−	26.6776i	−0.531372	−	0.987381i
$731$	14.3051	−	10.3933i	0.529095	−	0.384410i
$732$	−1.98182			−0.0732503
$733$	−22.8918	+	16.6319i	−0.845529	+	0.614313i	−0.923910	−	0.382611i	$-0.875025\pi$
$733$	−22.8918	+	16.6319i	−0.845529	+	0.614313i	0.0783804	+	0.996924i	$0.475025\pi$
$734$	5.08567	+	15.6521i	0.187716	+	0.577729i
$735$	1.05966	+	1.96904i	0.0390863	+	0.0726291i
$736$	−10.8388	+	33.3583i	−0.399523	+	1.22961i
$737$	−1.73413	−	5.33710i	−0.0638774	−	0.196595i
$738$	−1.48208	−	4.56136i	−0.0545560	−	0.167906i
$739$	−12.1072	+	37.2622i	−0.445371	+	1.37071i	0.436706	+	0.899604i	$0.356145\pi$
$739$	−12.1072	+	37.2622i	−0.445371	+	1.37071i	−0.882077	+	0.471106i	$0.843855\pi$
$740$	−13.4524	+	14.0710i	−0.494521	+	0.517261i
$741$	−6.62680	−	20.3952i	−0.243442	−	0.749236i
$742$	6.57115	−	4.77422i	0.241234	−	0.175267i
$743$	−11.4955			−0.421728			−0.210864	−	0.977515i	$-0.567628\pi$
$743$	−11.4955			−0.421728			−0.210864	+	0.977515i	$0.567628\pi$
$744$	−5.49759	+	3.99424i	−0.201552	+	0.146436i
$745$	32.5555	+	15.6767i	1.19274	+	0.574349i
$746$	20.7955	+	15.1088i	0.761377	+	0.553172i
$747$	−7.59494	−	5.51805i	−0.277884	−	0.201895i
$748$	−4.13722	+	12.7331i	−0.151272	+	0.465567i
$749$	15.7042			0.573817
$750$	6.98375	+	6.10036i	0.255010	+	0.222754i
$751$	39.4892			1.44098			0.720490	−	0.693465i	$-0.243917\pi$
$751$	39.4892			1.44098			0.720490	+	0.693465i	$0.243917\pi$
$752$	0.522594	−	1.60838i	0.0190570	−	0.0586515i
$753$	−6.20281	−	4.50661i	−0.226043	−	0.164230i
$754$	11.4545	+	8.32220i	0.417149	+	0.303077i
$755$	31.8838	+	15.3532i	1.16037	+	0.558760i
$756$	1.06151	−	0.771234i	0.0386069	−	0.0280495i
$757$	−9.15652			−0.332800			−0.166400	−	0.986058i	$-0.553214\pi$
$757$	−9.15652			−0.332800			−0.166400	+	0.986058i	$0.553214\pi$
$758$	−2.72101	+	1.97693i	−0.0988316	+	0.0718053i
$759$	3.39479	+	10.4481i	0.123223	+	0.379242i
$760$	25.2120	−	26.3713i	0.914535	−	0.956588i
$761$	8.32443	−	25.6200i	0.301760	−	0.928723i	−0.679106	−	0.734040i	$-0.737632\pi$
$761$	8.32443	−	25.6200i	0.301760	−	0.928723i	0.980866	−	0.194683i	$-0.0623677\pi$
$762$	2.28694	+	7.03849i	0.0828473	+	0.254978i
$763$	4.85248	+	14.9344i	0.175672	+	0.540662i
$764$	−1.56110	+	4.80456i	−0.0564785	+	0.173823i
$765$	−5.97171	−	11.0965i	−0.215907	−	0.401193i
$766$	1.66591	+	5.12715i	0.0601918	+	0.185251i
$767$	−4.71382	+	3.42479i	−0.170206	+	0.123662i
$768$	14.9729			0.540288
$769$	30.6963	−	22.3022i	1.10694	−	0.804237i	0.124759	−	0.992187i	$-0.460184\pi$
$769$	30.6963	−	22.3022i	1.10694	−	0.804237i	0.982179	+	0.187950i	$0.0601843\pi$
$770$	1.59132	+	2.95695i	0.0573473	+	0.106561i
$771$	0.0247692	+	0.0179959i	0.000892041	+	0.000648106i
$772$	17.3714	+	12.6210i	0.625209	+	0.454241i
$773$	11.5283	−	35.4804i	0.414643	−	1.27614i	−0.497926	−	0.867220i	$-0.665905\pi$
$773$	11.5283	−	35.4804i	0.414643	−	1.27614i	0.912569	−	0.408922i	$-0.134095\pi$
$774$	−2.60235			−0.0935397
$775$	−11.9230	−	3.28975i	−0.428288	−	0.118171i
$776$	−39.4263			−1.41532
$777$	2.05034	−	6.31031i	0.0735557	−	0.226381i
$778$	−11.9115	−	8.65424i	−0.427049	−	0.310269i
$779$	−27.7867	−	20.1882i	−0.995562	−	0.723318i
$780$	10.4228	−	1.89179i	0.373195	−	0.0677369i
$781$	6.04153	−	4.38943i	0.216183	−	0.157066i
$782$	−28.3592			−1.01412
$783$	3.82513	−	2.77912i	0.136699	−	0.0993177i
$784$	0.106864	+	0.328892i	0.00381656	+	0.0117462i
$785$	−24.9784	−	12.0280i	−0.891518	−	0.429298i
$786$	−4.24245	+	13.0569i	−0.151323	+	0.465725i
$787$	0.830929	+	2.55734i	0.0296194	+	0.0911592i	0.964773	−	0.263082i	$-0.0847391\pi$
$787$	0.830929	+	2.55734i	0.0296194	+	0.0911592i	−0.935154	+	0.354242i	$0.884739\pi$
$788$	−6.09402	−	18.7555i	−0.217091	−	0.668136i
$789$	−3.32703	+	10.2395i	−0.118445	+	0.364537i
$790$	16.1452	−	2.93044i	0.574420	−	0.104260i
$791$	−1.01788	−	3.13270i	−0.0361915	−	0.111386i
$792$	4.02394	−	2.92357i	0.142985	−	0.103884i
$793$	5.45338			0.193655
$794$	−13.5654	+	9.85586i	−0.481419	+	0.349771i
$795$	2.93878	−	21.7000i	0.104228	−	0.769621i
$796$	−6.22944	−	4.52595i	−0.220797	−	0.160418i
$797$	22.1315	+	16.0795i	0.783938	+	0.569564i	0.906158	−	0.422939i	$-0.139001\pi$
$797$	22.1315	+	16.0795i	0.783938	+	0.569564i	−0.122220	+	0.992503i	$0.539001\pi$
$798$	−1.52229	+	4.68513i	−0.0538885	+	0.165852i
$799$	27.5591			0.974970
$800$	18.0231	+	22.5974i	0.637213	+	0.798937i
$801$	9.69917			0.342703
$802$	−5.16735	+	15.9035i	−0.182465	+	0.561570i
$803$	−23.9285	−	17.3851i	−0.844420	−	0.613507i
$804$	3.29000	+	2.39032i	0.116029	+	0.0843002i
$805$	9.37541	−	9.80653i	0.330440	−	0.345635i
$806$	5.99291	−	4.35410i	0.211091	−	0.153367i
$807$	−2.53066			−0.0890834
$808$	−24.8235	+	18.0353i	−0.873287	+	0.634481i
$809$	−5.54129	−	17.0543i	−0.194821	−	0.599599i	−0.999979	−	0.00653722i	$-0.997919\pi$
$809$	−5.54129	−	17.0543i	−0.194821	−	0.599599i	0.805157	−	0.593061i	$-0.202081\pi$
$810$	−0.248890	+	1.83781i	−0.00874509	+	0.0645740i
$811$	8.42327	−	25.9241i	0.295781	−	0.910320i	−0.687177	−	0.726490i	$-0.741150\pi$
$811$	8.42327	−	25.9241i	0.295781	−	0.910320i	0.982958	−	0.183830i	$-0.0588496\pi$
$812$	1.91708	+	5.90015i	0.0672762	+	0.207055i
$813$	9.12206	+	28.0748i	0.319925	+	0.984626i
$814$	3.07905	−	9.47636i	0.107921	−	0.332146i
$815$	5.81197	−	42.9158i	0.203585	−	1.50327i
$816$	−0.602227	−	1.85346i	−0.0210822	−	0.0648842i
$817$	−15.0770	+	10.9541i	−0.527478	+	0.383235i
$818$	22.7114			0.794086
$819$	−2.92096	+	2.12220i	−0.102067	+	0.0741558i
$820$	11.7242	−	12.2633i	0.409426	−	0.428253i
$821$	8.03945	+	5.84100i	0.280579	+	0.203852i	0.719170	−	0.694834i	$-0.244522\pi$
$821$	8.03945	+	5.84100i	0.280579	+	0.203852i	−0.438591	+	0.898687i	$0.644522\pi$
$822$	12.3942	+	9.00493i	0.432298	+	0.314083i
$823$	−5.73297	+	17.6443i	−0.199839	+	0.615041i	0.800047	+	0.599937i	$0.204808\pi$
$823$	−5.73297	+	17.6443i	−0.199839	+	0.615041i	−0.999886	+	0.0151034i	$0.995192\pi$
$824$	40.8869			1.42436
$825$	8.72703	+	2.40792i	0.303836	+	0.0838330i
$826$	1.33847			0.0465713
$827$	12.0259	−	37.0119i	0.418182	−	1.28703i	−0.491192	−	0.871051i	$-0.663439\pi$
$827$	12.0259	−	37.0119i	0.418182	−	1.28703i	0.909374	−	0.415979i	$-0.136561\pi$
$828$	−6.44062	−	4.67938i	−0.223827	−	0.162620i
$829$	−7.88746	−	5.73057i	−0.273943	−	0.199031i	0.442328	−	0.896853i	$-0.354153\pi$
$829$	−7.88746	−	5.73057i	−0.273943	−	0.199031i	−0.716271	+	0.697822i	$0.754153\pi$
$830$	−2.33654	+	17.2531i	−0.0811026	+	0.598864i
$831$	−14.9583	+	10.8679i	−0.518899	+	0.377002i
$832$	−14.8140			−0.513583
$833$	−4.55919	+	3.31245i	−0.157967	+	0.114769i
$834$	0.930666	+	2.86430i	0.0322263	+	0.0991825i
$835$	−19.3762	+	3.51689i	−0.670542	+	0.121707i
$836$	4.36045	−	13.4201i	0.150809	−	0.464144i
$837$	−0.764420	−	2.35264i	−0.0264222	−	0.0813192i
$838$	6.63748	+	20.4281i	0.229288	+	0.705676i
$839$	−0.863649	+	2.65804i	−0.0298165	+	0.0917657i	−0.964857	−	0.262774i	$-0.915363\pi$
$839$	−0.863649	+	2.65804i	−0.0298165	+	0.0917657i	0.935041	+	0.354540i	$0.115363\pi$
$840$	−5.53435	−	2.66499i	−0.190953	−	0.0919510i
$841$	−2.05336	−	6.31960i	−0.0708056	−	0.217917i
$842$	19.8855	−	14.4476i	0.685298	−	0.497898i
$843$	1.72026			0.0592490
$844$	−9.94951	+	7.22874i	−0.342476	+	0.248824i
$845$	−0.0787195	+	0.0142880i	−0.00270803	+	0.000491523i
$846$	−3.28136	−	2.38405i	−0.112816	−	0.0819653i
$847$	−6.24693	−	4.53866i	−0.214647	−	0.155950i
$848$	1.04653	−	3.22089i	0.0359380	−	0.110606i
$849$	22.9069			0.786164
$850$	−12.8733	+	19.5049i	−0.441552	+	0.669014i
$851$	−40.2575			−1.38001
$852$	−1.67229	+	5.14677i	−0.0572916	+	0.176325i
$853$	−24.3584	−	17.6974i	−0.834017	−	0.605949i	0.0866758	−	0.996237i	$-0.472376\pi$
$853$	−24.3584	−	17.6974i	−0.834017	−	0.605949i	−0.920693	+	0.390288i	$0.872376\pi$
$854$	−1.01348	−	0.736339i	−0.0346807	−	0.0251970i
$855$	6.29392	+	11.6952i	0.215248	+	0.399967i
$856$	−34.9010	+	25.3571i	−1.19289	+	0.866686i
$857$	53.5935			1.83072			0.915360	−	0.402637i	$-0.131906\pi$
$857$	53.5935			1.83072			0.915360	+	0.402637i	$0.131906\pi$
$858$	−4.38648	+	3.18697i	−0.149752	+	0.108801i
$859$	−7.51520	−	23.1294i	−0.256415	−	0.789165i	−0.993548	−	0.113416i	$-0.963821\pi$
$859$	−7.51520	−	23.1294i	−0.256415	−	0.789165i	0.737132	−	0.675748i	$-0.236179\pi$
$860$	−4.36255	−	8.10637i	−0.148762	−	0.276425i
$861$	−1.78694	+	5.49962i	−0.0608986	+	0.187427i
$862$	5.41749	+	16.6733i	0.184520	+	0.567895i
$863$	14.7378	+	45.3582i	0.501680	+	1.54401i	0.806281	+	0.591533i	$0.201477\pi$
$863$	14.7378	+	45.3582i	0.501680	+	1.54401i	−0.304601	+	0.952480i	$0.598523\pi$
$864$	−1.78640	+	5.49797i	−0.0607745	+	0.187045i
$865$	23.0495	−	24.1094i	0.783706	−	0.819743i
$866$	−9.93289	−	30.5703i	−0.337533	−	1.03882i
$867$	11.9399	−	8.67485i	0.405500	−	0.294613i
$868$	3.24577			0.110168
$869$	12.9605	−	9.41634i	0.439654	−	0.319428i
$870$	−7.90046	−	3.80436i	−0.267851	−	0.128980i
$871$	−9.05308	−	6.57745i	−0.306752	−	0.222868i
$872$	−34.8983	−	25.3551i	−1.18181	−	0.858633i
$873$	4.43509	−	13.6498i	0.150105	−	0.461976i
$874$	29.8894			1.01102
$875$	−2.48888	−	10.8998i	−0.0841395	−	0.368480i
$876$	21.4337			0.724179
$877$	−4.05293	+	12.4736i	−0.136858	+	0.421204i	−0.995874	−	0.0907431i	$-0.971076\pi$
$877$	−4.05293	+	12.4736i	−0.136858	+	0.421204i	0.859017	+	0.511948i	$0.171076\pi$
$878$	15.8807	+	11.5380i	0.535948	+	0.389389i
$879$	9.32454	+	6.77467i	0.314509	+	0.228504i
$880$	1.26147	+	0.607444i	0.0425242	+	0.0204769i
$881$	12.4728	−	9.06198i	0.420218	−	0.305306i	−0.357508	−	0.933910i	$-0.616373\pi$
$881$	12.4728	−	9.06198i	0.420218	−	0.305306i	0.777725	+	0.628604i	$0.216373\pi$
$882$	0.829396			0.0279272
$883$	−13.4019	+	9.73706i	−0.451010	+	0.327678i	−0.789994	−	0.613114i	$-0.789917\pi$
$883$	−13.4019	+	9.73706i	−0.451010	+	0.327678i	0.338984	+	0.940792i	$0.389917\pi$
$884$	8.24990	+	25.3906i	0.277474	+	0.853978i
$885$	2.49365	−	2.60831i	0.0838230	−	0.0876775i
$886$	0.994813	−	3.06172i	0.0334214	−	0.102861i
$887$	6.94877	+	21.3861i	0.233317	+	0.718075i	0.997340	+	0.0728867i	$0.0232211\pi$
$887$	6.94877	+	21.3861i	0.233317	+	0.718075i	−0.764023	+	0.645188i	$0.776779\pi$
$888$	5.63239	+	17.3347i	0.189011	+	0.581715i
$889$	2.75736	−	8.48629i	0.0924789	−	0.284621i
$890$	−8.52442	−	15.8398i	−0.285739	−	0.530953i
$891$	0.559514	+	1.72201i	0.0187444	+	0.0576894i
$892$	10.4439	−	7.58795i	0.349688	−	0.254063i
$893$	−29.0461			−0.971990
$894$	10.8428	−	7.87779i	0.362639	−	0.263473i
$895$	20.5070	+	38.1056i	0.685474	+	1.27373i
$896$	−6.60059	−	4.79561i	−0.220510	−	0.160210i
$897$	17.7226	+	12.8762i	0.591742	+	0.429925i
$898$	−6.49577	+	19.9919i	−0.216767	+	0.667140i
$899$	11.6960			0.390084
$900$	−6.14204	+	2.30558i	−0.204735	+	0.0768527i
$901$	55.1889			1.83861
$902$	−2.68349	+	8.25892i	−0.0893503	+	0.274992i
$903$	2.53841	+	1.84426i	0.0844731	+	0.0613733i
$904$	7.32041	+	5.31859i	0.243473	+	0.176894i
$905$	−5.10651	+	0.926860i	−0.169746	+	0.0308099i
$906$	10.6191	−	7.71523i	0.352796	−	0.256321i
$907$	−20.7242			−0.688136			−0.344068	−	0.938945i	$-0.611805\pi$
$907$	−20.7242			−0.688136			−0.344068	+	0.938945i	$0.611805\pi$
$908$	7.30374	−	5.30648i	0.242383	−	0.176102i
$909$	−3.45161	−	10.6230i	−0.114483	−	0.352342i
$910$	6.03298	+	2.90510i	0.199991	+	0.0963030i
$911$	−8.86167	+	27.2734i	−0.293600	+	0.903608i	0.690088	+	0.723725i	$0.257572\pi$
$911$	−8.86167	+	27.2734i	−0.293600	+	0.903608i	−0.983688	+	0.179883i	$0.942428\pi$
$912$	0.634721	+	1.95347i	0.0210177	+	0.0646859i
$913$	5.25264	+	16.1660i	0.173837	+	0.535016i
$914$	−9.02056	+	27.7624i	−0.298374	+	0.918300i
$915$	−3.32310	+	0.603161i	−0.109858	+	0.0199399i
$916$	2.45219	+	7.54708i	0.0810228	+	0.249362i
$917$	13.3915	−	9.72951i	0.442227	−	0.321297i
$918$	−4.67404			−0.154266
$919$	24.9767	−	18.1466i	0.823905	−	0.598602i	−0.0939236	−	0.995579i	$-0.529941\pi$
$919$	24.9767	−	18.1466i	0.823905	−	0.598602i	0.917828	+	0.396978i	$0.129941\pi$
$920$	−5.00165	+	36.9323i	−0.164899	+	1.21762i
$921$	−3.67465	−	2.66979i	−0.121084	−	0.0879725i
$922$	−6.93919	−	5.04161i	−0.228530	−	0.166037i
$923$	4.60163	−	14.1624i	0.151464	−	0.466160i
$924$	−2.37573			−0.0781557
$925$	−18.2744	+	27.6883i	−0.600860	+	0.910387i
$926$	−4.40120			−0.144632
$927$	−4.59939	+	14.1555i	−0.151064	+	0.464927i
$928$	−22.1128	−	16.0659i	−0.725887	−	0.527387i
$929$	−26.9812	−	19.6030i	−0.885223	−	0.643152i	0.0494050	−	0.998779i	$-0.484267\pi$
$929$	−26.9812	−	19.6030i	−0.885223	−	0.643152i	−0.934628	+	0.355627i	$0.884267\pi$
$930$	−3.17029	+	3.31607i	−0.103958	+	0.108738i
$931$	4.80519	−	3.49118i	0.157484	−	0.114419i
$932$	5.75700			0.188577
$933$	−3.23947	+	2.35361i	−0.106055	+	0.0770538i
$934$	−5.70139	−	17.5471i	−0.186555	−	0.574158i
$935$	−3.06199	+	22.6098i	−0.100138	+	0.739421i
$936$	3.06490	−	9.43280i	0.100179	−	0.308321i
$937$	10.7370	+	33.0451i	0.350763	+	1.07954i	0.958426	+	0.285341i	$0.0921070\pi$
$937$	10.7370	+	33.0451i	0.350763	+	1.07954i	−0.607663	+	0.794195i	$0.707893\pi$
$938$	0.794355	+	2.44477i	0.0259366	+	0.0798247i
$939$	−3.37703	+	10.3934i	−0.110205	+	0.339177i
$940$	1.92552	−	14.2181i	0.0628034	−	0.463742i
$941$	−1.59632	−	4.91298i	−0.0520387	−	0.160159i	0.921660	−	0.387999i	$-0.126834\pi$
$941$	−1.59632	−	4.91298i	−0.0520387	−	0.160159i	−0.973699	+	0.227840i	$0.926834\pi$
$942$	−8.31923	+	6.04428i	−0.271055	+	0.196933i
$943$	35.0856			1.14254
$944$	0.451494	−	0.328030i	0.0146949	−	0.0106765i
$945$	1.54521	−	1.61627i	0.0502658	−	0.0525772i
$946$	3.81200	+	2.76958i	0.123939	+	0.0900468i
$947$	−43.2505	−	31.4234i	−1.40545	−	1.02112i	−0.993964	−	0.109707i	$-0.965009\pi$
$947$	−43.2505	−	31.4234i	−1.40545	−	1.02112i	−0.411490	−	0.911414i	$-0.634991\pi$
$948$	−3.58744	+	11.0410i	−0.116515	+	0.358596i
$949$	−58.9791			−1.91454
$950$	13.5679	−	20.5574i	0.440202	−	0.666969i
$951$	24.7461			0.802449
$952$	4.78386	−	14.7232i	0.155046	−	0.477182i
$953$	31.2691	+	22.7184i	1.01291	+	0.735920i	0.964817	−	0.262923i	$-0.0846866\pi$
$953$	31.2691	+	22.7184i	1.01291	+	0.735920i	0.0480900	+	0.998843i	$0.484687\pi$
$954$	−6.57115	−	4.77422i	−0.212749	−	0.154571i
$955$	−1.15538	+	8.53136i	−0.0373872	+	0.276068i
$956$	11.9839	−	8.70678i	0.387585	−	0.281597i
$957$	−8.56087			−0.276733
$958$	23.2982	−	16.9271i	0.752730	−	0.546891i
$959$	−5.70797	−	17.5673i	−0.184320	−	0.567279i
$960$	9.02715	−	1.63848i	0.291350	−	0.0528816i
$961$	−7.68857	+	23.6630i	−0.248018	+	0.763322i
$962$	−6.13984	−	18.8965i	−0.197956	−	0.609247i
$963$	−4.85285	−	14.9355i	−0.156381	−	0.481291i
$964$	3.43615	−	10.5754i	0.110671	−	0.340610i
$965$	32.9693	+	15.8759i	1.06132	+	0.511063i
$966$	−1.55506	−	4.78597i	−0.0500331	−	0.153986i
$967$	−9.24316	+	6.71555i	−0.297240	+	0.215957i	−0.726402	−	0.687270i	$-0.758809\pi$
$967$	−9.24316	+	6.71555i	−0.297240	+	0.215957i	0.429162	+	0.903227i	$0.358809\pi$
$968$	21.2117			0.681769
$969$	−27.0795	+	19.6744i	−0.869919	+	0.632033i
$970$	−26.1896	+	4.75355i	−0.840897	+	0.152627i
$971$	20.9651	+	15.2321i	0.672803	+	0.488820i	0.870962	−	0.491350i	$-0.163496\pi$
$971$	20.9651	+	15.2321i	0.672803	+	0.488820i	−0.198159	+	0.980170i	$0.563496\pi$
$972$	−1.06151	−	0.771234i	−0.0340481	−	0.0247374i
$973$	1.12210	−	3.45347i	0.0359729	−	0.110713i
$974$	17.7684			0.569337
$975$	16.9010	−	6.34427i	0.541266	−	0.203179i
$976$	−0.522330			−0.0167194
$977$	0.126545	−	0.389465i	0.00404853	−	0.0124601i	−0.949012	−	0.315240i	$-0.897915\pi$
$977$	0.126545	−	0.389465i	0.00404853	−	0.0124601i	0.953060	+	0.302780i	$0.0979148\pi$
$978$	−12.9957	−	9.44189i	−0.415555	−	0.301918i
$979$	−14.2076	−	10.3224i	−0.454077	−	0.329906i
$980$	1.39039	+	2.58358i	0.0444143	+	0.0825294i
$981$	12.7040	−	9.22997i	0.405606	−	0.294690i
$982$	−14.8829			−0.474931
$983$	7.12275	−	5.17498i	0.227180	−	0.165056i	−0.468373	−	0.883531i	$-0.655159\pi$
$983$	7.12275	−	5.17498i	0.227180	−	0.165056i	0.695553	+	0.718475i	$0.255159\pi$
$984$	−4.90879	−	15.1077i	−0.156487	−	0.481616i
$985$	−15.9266	−	29.5943i	−0.507463	−	0.942953i
$986$	6.82910	−	21.0178i	0.217483	−	0.669343i
$987$	1.51118	+	4.65094i	0.0481015	+	0.148041i
$988$	−8.69504	−	26.7606i	−0.276626	−	0.851368i
$989$	5.88287	−	18.1056i	0.187064	−	0.575725i
$990$	2.32048	−	2.42719i	0.0737499	−	0.0771411i
$991$	−11.4467	−	35.2293i	−0.363616	−	1.11909i	−0.950843	−	0.309672i	$-0.899781\pi$
$991$	−11.4467	−	35.2293i	−0.363616	−	1.11909i	0.587228	−	0.809422i	$-0.300219\pi$
$992$	−11.5692	+	8.40551i	−0.367322	+	0.266875i
$993$	−1.28469			−0.0407683
$994$	−2.76745	+	2.01067i	−0.0877782	+	0.0637746i
$995$	−11.8229	−	5.69317i	−0.374812	−	0.180486i
$996$	−9.96534	−	7.24025i	−0.315764	−	0.229416i
$997$	−40.3160	−	29.2913i	−1.27682	−	0.927665i	−0.277370	−	0.960763i	$-0.589463\pi$
$997$	−40.3160	−	29.2913i	−1.27682	−	0.927665i	−0.999452	+	0.0330979i	$0.989463\pi$
$998$	−2.92116	+	8.99042i	−0.0924678	+	0.284587i
$999$	−6.63506			−0.209924

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.n.b.421.4	yes	20
25.6	even	5	inner	525.2.n.b.106.4	✓	20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.n.b.106.4	✓	20	25.6	even	5	inner
525.2.n.b.421.4	yes	20	1.1	even	1	trivial

Overview	Random
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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:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.256297 - 0.788802i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.06151 + 0.771234i) q^{4} +(2.01466 + 0.970131i) q^{5} +(0.670995 - 0.487507i) q^{6} -1.00000 q^{7} +(2.22241 - 1.61467i) q^{8} +(0.309017 + 0.951057i) q^{9} +O(q^{10})\)	\(q+(0.256297 - 0.788802i) q^{2} +(0.809017 + 0.587785i) q^{3} +(1.06151 + 0.771234i) q^{4} +(2.01466 + 0.970131i) q^{5} +(0.670995 - 0.487507i) q^{6} -1.00000 q^{7} +(2.22241 - 1.61467i) q^{8} +(0.309017 + 0.951057i) q^{9} +(1.28159 - 1.34052i) q^{10} +(0.559514 - 1.72201i) q^{11} +(0.405462 + 1.24788i) q^{12} +(-1.11571 - 3.43380i) q^{13} +(-0.256297 + 0.788802i) q^{14} +(1.05966 + 1.96904i) q^{15} +(0.106864 + 0.328892i) q^{16} +(-4.55919 + 3.31245i) q^{17} +0.829396 q^{18} +(4.80519 - 3.49118i) q^{19} +(1.39039 + 2.58358i) q^{20} +(-0.809017 - 0.587785i) q^{21} +(-1.21492 - 0.882692i) q^{22} +(-1.87493 + 5.77043i) q^{23} +2.74704 q^{24} +(3.11769 + 3.90896i) q^{25} -2.99454 q^{26} +(-0.309017 + 0.951057i) q^{27} +(-1.06151 - 0.771234i) q^{28} +(-3.82513 - 2.77912i) q^{29} +(1.82477 - 0.331206i) q^{30} +(-2.00128 + 1.45401i) q^{31} +5.78091 q^{32} +(1.46483 - 1.06426i) q^{33} +(1.44436 + 4.44527i) q^{34} +(-2.01466 - 0.970131i) q^{35} +(-0.405462 + 1.24788i) q^{36} +(2.05034 + 6.31031i) q^{37} +(-1.52229 - 4.68513i) q^{38} +(1.11571 - 3.43380i) q^{39} +(6.04383 - 1.09699i) q^{40} +(-1.78694 - 5.49962i) q^{41} +(-0.670995 + 0.487507i) q^{42} -3.13765 q^{43} +(1.92200 - 1.39642i) q^{44} +(-0.300086 + 2.21584i) q^{45} +(4.07119 + 2.95789i) q^{46} +(-3.95633 - 2.87444i) q^{47} +(-0.106864 + 0.328892i) q^{48} +1.00000 q^{49} +(3.88246 - 1.45739i) q^{50} -5.63547 q^{51} +(1.46392 - 4.50550i) q^{52} +(-7.92281 - 5.75626i) q^{53} +(0.670995 + 0.487507i) q^{54} +(2.79780 - 2.92645i) q^{55} +(-2.22241 + 1.61467i) q^{56} +5.93954 q^{57} +(-3.17255 + 2.30499i) q^{58} +(-0.498688 - 1.53480i) q^{59} +(-0.393743 + 2.90741i) q^{60} +(-0.466745 + 1.43649i) q^{61} +(0.634006 + 1.95127i) q^{62} +(-0.309017 - 0.951057i) q^{63} +(1.26790 - 3.90221i) q^{64} +(1.08346 - 8.00031i) q^{65} +(-0.464059 - 1.42823i) q^{66} +(2.50743 - 1.82175i) q^{67} -7.39432 q^{68} +(-4.90862 + 3.56632i) q^{69} +(-1.28159 + 1.34052i) q^{70} +(3.33671 + 2.42426i) q^{71} +(2.22241 + 1.61467i) q^{72} +(5.04792 - 15.5359i) q^{73} +5.50309 q^{74} +(0.224636 + 4.99495i) q^{75} +7.79329 q^{76} +(-0.559514 + 1.72201i) q^{77} +(-2.42264 - 1.76015i) q^{78} +(7.15801 + 5.20060i) q^{79} +(-0.103775 + 0.766277i) q^{80} +(-0.809017 + 0.587785i) q^{81} -4.79610 q^{82} +(-7.59494 + 5.51805i) q^{83} +(-0.405462 - 1.24788i) q^{84} +(-12.3987 + 2.25043i) q^{85} +(-0.804172 + 2.47499i) q^{86} +(-1.46107 - 4.49672i) q^{87} +(-1.53701 - 4.73043i) q^{88} +(2.99721 - 9.22446i) q^{89} +(1.67095 + 0.804622i) q^{90} +(1.11571 + 3.43380i) q^{91} +(-6.44062 + 4.67938i) q^{92} -2.47371 q^{93} +(-3.28136 + 2.38405i) q^{94} +(13.0677 - 2.37186i) q^{95} +(4.67685 + 3.39793i) q^{96} +(-11.6112 - 8.43604i) q^{97} +(0.256297 - 0.788802i) q^{98} +1.81063 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

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