LMFDB - Embedded newform 95.2.k.a.81.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(6,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("95.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.k (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} + \cdots + 1 $ x^18 - 3x^17 + 15x^16 - 14x^15 + 72x^14 - 51x^13 + 231x^12 - 93x^11 + 438x^10 - 156x^9 + 582x^8 - 138x^7 + 437x^6 - 132x^5 + 198x^4 - 16x^3 + 15x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			81.2
Root			$-0.128481 - 0.222535i$ of defining polynomial
Character	$\chi$	$=$	95.81
Dual form			95.2.k.a.61.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.18116 + 0.429906i) q^{2} +(0.523072 - 2.96649i) q^{3} +(-0.321776 + 0.270002i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.657481 + 3.72876i) q^{6} +(-1.86196 - 3.22501i) q^{7} +(1.52095 - 2.63437i) q^{8} +(-5.70738 - 2.07732i) q^{9} +O(q^{10})$	\(q+(-1.18116 + 0.429906i) q^{2} +(0.523072 - 2.96649i) q^{3} +(-0.321776 + 0.270002i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.657481 + 3.72876i) q^{6} +(-1.86196 - 3.22501i) q^{7} +(1.52095 - 2.63437i) q^{8} +(-5.70738 - 2.07732i) q^{9} +(-1.18116 - 0.429906i) q^{10} +(1.67794 - 2.90627i) q^{11} +(0.632646 + 1.09578i) q^{12} +(0.840684 + 4.76776i) q^{13} +(3.58572 + 3.00877i) q^{14} +(2.30752 - 1.93624i) q^{15} +(-0.518073 + 2.93814i) q^{16} +(2.51392 - 0.914991i) q^{17} +7.63436 q^{18} +(0.961823 + 4.25146i) q^{19} -0.420048 q^{20} +(-10.5409 + 3.83657i) q^{21} +(-0.732484 + 4.15412i) q^{22} +(1.43789 - 1.20653i) q^{23} +(-7.01926 - 5.88986i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-3.04267 - 5.27006i) q^{26} +(-4.62933 + 8.01823i) q^{27} +(1.46989 + 0.534997i) q^{28} +(4.93461 + 1.79605i) q^{29} +(-1.89314 + 3.27902i) q^{30} +(1.55945 + 2.70105i) q^{31} +(0.405246 + 2.29826i) q^{32} +(-7.74375 - 6.49778i) q^{33} +(-2.57597 + 2.16150i) q^{34} +(0.646652 - 3.66734i) q^{35} +(2.39738 - 0.872573i) q^{36} +0.992927 q^{37} +(-2.96379 - 4.60815i) q^{38} +14.5832 q^{39} +(2.85846 - 1.04039i) q^{40} +(0.0723041 - 0.410057i) q^{41} +(10.8011 - 9.06319i) q^{42} +(-5.52990 - 4.64013i) q^{43} +(0.244780 + 1.38822i) q^{44} +(-3.03683 - 5.25995i) q^{45} +(-1.17968 + 2.04326i) q^{46} +(-2.10572 - 0.766421i) q^{47} +(8.44496 + 3.07372i) q^{48} +(-3.43378 + 5.94749i) q^{49} +(-0.628481 - 1.08856i) q^{50} +(-1.39935 - 7.93612i) q^{51} +(-1.55782 - 1.30716i) q^{52} +(0.199365 - 0.167287i) q^{53} +(2.02088 - 11.4610i) q^{54} +(3.15349 - 1.14778i) q^{55} -11.3278 q^{56} +(13.1150 - 0.629417i) q^{57} -6.60069 q^{58} +(4.87590 - 1.77468i) q^{59} +(-0.219716 + 1.24607i) q^{60} +(0.589041 - 0.494264i) q^{61} +(-3.00316 - 2.51995i) q^{62} +(3.92754 + 22.2742i) q^{63} +(-4.45016 - 7.70790i) q^{64} +(-2.42065 + 4.19270i) q^{65} +(11.9400 + 4.34581i) q^{66} +(-10.1275 - 3.68611i) q^{67} +(-0.561868 + 0.973185i) q^{68} +(-2.82704 - 4.89658i) q^{69} +(0.812816 + 4.60971i) q^{70} +(1.53320 + 1.28651i) q^{71} +(-14.1531 + 11.8758i) q^{72} +(0.792291 - 4.49331i) q^{73} +(-1.17280 + 0.426865i) q^{74} +3.01225 q^{75} +(-1.45739 - 1.10832i) q^{76} -12.4970 q^{77} +(-17.2251 + 6.26942i) q^{78} +(-2.09282 + 11.8690i) q^{79} +(-2.28546 + 1.91773i) q^{80} +(7.40643 + 6.21473i) q^{81} +(0.0908835 + 0.515426i) q^{82} +(6.78553 + 11.7529i) q^{83} +(2.35592 - 4.08058i) q^{84} +(2.51392 + 0.914991i) q^{85} +(8.52650 + 3.10339i) q^{86} +(7.90913 - 13.6990i) q^{87} +(-5.10413 - 8.84062i) q^{88} +(-1.33178 - 7.55289i) q^{89} +(5.84826 + 4.90727i) q^{90} +(13.8107 - 11.5886i) q^{91} +(-0.136912 + 0.776465i) q^{92} +(8.82836 - 3.21326i) q^{93} +2.81668 q^{94} +(-1.99599 + 3.87505i) q^{95} +7.02975 q^{96} +(6.79298 - 2.47244i) q^{97} +(1.49898 - 8.50112i) q^{98} +(-15.6139 + 13.1016i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	−1.18116	+	0.429906i	−0.835204	+	0.303989i	−0.723993	−	0.689807i	$-0.757695\pi$
$2$	−1.18116	+	0.429906i	−0.835204	+	0.303989i	−0.111211	+	0.993797i	$0.535473\pi$
$3$	0.523072	−	2.96649i	0.301996	−	1.71270i	−0.335323	−	0.942103i	$-0.608845\pi$
$3$	0.523072	−	2.96649i	0.301996	−	1.71270i	0.637319	−	0.770600i	$-0.280043\pi$
$4$	−0.321776	+	0.270002i	−0.160888	+	0.135001i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$6$	0.657481	+	3.72876i	0.268416	+	1.52226i
$7$	−1.86196	−	3.22501i	−0.703754	−	1.21894i	−0.967139	−	0.254247i	$-0.918172\pi$
$7$	−1.86196	−	3.22501i	−0.703754	−	1.21894i	0.263385	−	0.964691i	$-0.415161\pi$
$8$	1.52095	−	2.63437i	0.537738	−	0.931390i
$9$	−5.70738	−	2.07732i	−1.90246	−	0.692439i
$10$	−1.18116	−	0.429906i	−0.373515	−	0.135948i
$11$	1.67794	−	2.90627i	0.505917	−	0.876275i	−0.494059	−	0.869428i	$-0.664487\pi$
$11$	1.67794	−	2.90627i	0.505917	−	0.876275i	0.999977	−	0.00684646i	$-0.00217931\pi$
$12$	0.632646	+	1.09578i	0.182629	+	0.316323i
$13$	0.840684	+	4.76776i	0.233164	+	1.32234i	0.846446	+	0.532474i	$0.178738\pi$
$13$	0.840684	+	4.76776i	0.233164	+	1.32234i	−0.613282	+	0.789864i	$0.710151\pi$
$14$	3.58572	+	3.00877i	0.958323	+	0.804129i
$15$	2.30752	−	1.93624i	0.595799	−	0.499935i
$16$	−0.518073	+	2.93814i	−0.129518	+	0.734534i
$17$	2.51392	−	0.914991i	0.609715	−	0.221918i	−0.0186637	−	0.999826i	$-0.505941\pi$
$17$	2.51392	−	0.914991i	0.609715	−	0.221918i	0.628378	+	0.777908i	$0.283719\pi$
$18$	7.63436			1.79944
$19$	0.961823	+	4.25146i	0.220657	+	0.975351i
$19$	0.961823	+	4.25146i	0.220657	+	0.975351i
$20$	−0.420048			−0.0939257
$21$	−10.5409	+	3.83657i	−2.30021	+	0.837208i
$22$	−0.732484	+	4.15412i	−0.156166	+	0.885662i
$23$	1.43789	−	1.20653i	0.299820	−	0.251579i	−0.480449	−	0.877023i	$-0.659526\pi$
$23$	1.43789	−	1.20653i	0.299820	−	0.251579i	0.780270	+	0.625443i	$0.215082\pi$
$24$	−7.01926	−	5.88986i	−1.43280	−	1.20226i
$25$	0.173648	+	0.984808i	0.0347296	+	0.196962i
$26$	−3.04267	−	5.27006i	−0.596716	−	1.03354i
$27$	−4.62933	+	8.01823i	−0.890914	+	1.54311i
$28$	1.46989	+	0.534997i	0.277783	+	0.101105i
$29$	4.93461	+	1.79605i	0.916335	+	0.333519i	0.756779	−	0.653670i	$-0.226772\pi$
$29$	4.93461	+	1.79605i	0.916335	+	0.333519i	0.159555	+	0.987189i	$0.448994\pi$
$30$	−1.89314	+	3.27902i	−0.345639	+	0.598664i
$31$	1.55945	+	2.70105i	0.280086	+	0.485124i	0.971406	−	0.237426i	$-0.0763036\pi$
$31$	1.55945	+	2.70105i	0.280086	+	0.485124i	−0.691319	+	0.722549i	$0.742970\pi$
$32$	0.405246	+	2.29826i	0.0716380	+	0.406279i
$33$	−7.74375	−	6.49778i	−1.34801	−	1.13112i
$34$	−2.57597	+	2.16150i	−0.441776	+	0.370694i
$35$	0.646652	−	3.66734i	0.109304	−	0.619894i
$36$	2.39738	−	0.872573i	0.399563	−	0.145429i
$37$	0.992927			0.163236			0.0816181	−	0.996664i	$-0.473991\pi$
$37$	0.992927			0.163236			0.0816181	+	0.996664i	$0.473991\pi$
$38$	−2.96379	−	4.60815i	−0.480790	−	0.747540i
$39$	14.5832			2.33519
$40$	2.85846	−	1.04039i	0.451962	−	0.164501i
$41$	0.0723041	−	0.410057i	0.0112920	−	0.0640401i	−0.978641	−	0.205576i	$-0.934093\pi$
$41$	0.0723041	−	0.410057i	0.0112920	−	0.0640401i	0.989933	+	0.141536i	$0.0452042\pi$
$42$	10.8011	−	9.06319i	1.66664	−	1.39848i
$43$	−5.52990	−	4.64013i	−0.843301	−	0.707614i	0.115003	−	0.993365i	$-0.463312\pi$
$43$	−5.52990	−	4.64013i	−0.843301	−	0.707614i	−0.958304	+	0.285751i	$0.907757\pi$
$44$	0.244780	+	1.38822i	0.0369020	+	0.209281i
$45$	−3.03683	−	5.25995i	−0.452704	−	0.784107i
$46$	−1.17968	+	2.04326i	−0.173934	+	0.301262i
$47$	−2.10572	−	0.766421i	−0.307151	−	0.111794i	0.183846	−	0.982955i	$-0.441145\pi$
$47$	−2.10572	−	0.766421i	−0.307151	−	0.111794i	−0.490997	+	0.871161i	$0.663367\pi$
$48$	8.44496	+	3.07372i	1.21893	+	0.443653i
$49$	−3.43378	+	5.94749i	−0.490540	+	0.849641i
$50$	−0.628481	−	1.08856i	−0.0888806	−	0.153946i
$51$	−1.39935	−	7.93612i	−0.195948	−	1.11128i
$52$	−1.55782	−	1.30716i	−0.216030	−	0.181271i
$53$	0.199365	−	0.167287i	0.0273848	−	0.0229786i	−0.628993	−	0.777411i	$-0.716532\pi$
$53$	0.199365	−	0.167287i	0.0273848	−	0.0229786i	0.656377	+	0.754433i	$0.272088\pi$
$54$	2.02088	−	11.4610i	0.275007	−	1.55964i
$55$	3.15349	−	1.14778i	0.425217	−	0.154766i
$56$	−11.3278			−1.51374
$57$	13.1150	−	0.629417i	1.73713	−	0.0833683i
$58$	−6.60069			−0.866713
$59$	4.87590	−	1.77468i	0.634789	−	0.231044i	−0.00452556	−	0.999990i	$-0.501441\pi$
$59$	4.87590	−	1.77468i	0.634789	−	0.231044i	0.639314	+	0.768946i	$0.279218\pi$
$60$	−0.219716	+	1.24607i	−0.0283652	+	0.160867i
$61$	0.589041	−	0.494264i	0.0754189	−	0.0632840i	−0.604299	−	0.796758i	$-0.706547\pi$
$61$	0.589041	−	0.494264i	0.0754189	−	0.0632840i	0.679718	+	0.733474i	$0.262102\pi$
$62$	−3.00316	−	2.51995i	−0.381402	−	0.320034i
$63$	3.92754	+	22.2742i	0.494824	+	2.80629i
$64$	−4.45016	−	7.70790i	−0.556270	−	0.963488i
$65$	−2.42065	+	4.19270i	−0.300245	+	0.520040i
$66$	11.9400	+	4.34581i	1.46971	+	0.534933i
$67$	−10.1275	−	3.68611i	−1.23727	−	0.450330i	−0.361190	−	0.932492i	$-0.617629\pi$
$67$	−10.1275	−	3.68611i	−1.23727	−	0.450330i	−0.876082	+	0.482162i	$0.839852\pi$
$68$	−0.561868	+	0.973185i	−0.0681366	+	0.118016i
$69$	−2.82704	−	4.89658i	−0.340336	−	0.589479i
$70$	0.812816	+	4.60971i	0.0971501	+	0.550966i
$71$	1.53320	+	1.28651i	0.181958	+	0.152681i	0.729217	−	0.684282i	$-0.239884\pi$
$71$	1.53320	+	1.28651i	0.181958	+	0.152681i	−0.547259	+	0.836963i	$0.684329\pi$
$72$	−14.1531	+	11.8758i	−1.66796	+	1.39958i
$73$	0.792291	−	4.49331i	0.0927307	−	0.525902i	−0.902688	−	0.430295i	$-0.858410\pi$
$73$	0.792291	−	4.49331i	0.0927307	−	0.525902i	0.995419	−	0.0956071i	$-0.0304792\pi$
$74$	−1.17280	+	0.426865i	−0.136336	+	0.0496221i
$75$	3.01225			0.347825
$76$	−1.45739	−	1.10832i	−0.167174	−	0.127133i
$77$	−12.4970			−1.42417
$78$	−17.2251	+	6.26942i	−1.95036	+	0.709872i
$79$	−2.09282	+	11.8690i	−0.235460	+	1.33536i	0.606181	+	0.795326i	$0.292701\pi$
$79$	−2.09282	+	11.8690i	−0.235460	+	1.33536i	−0.841642	+	0.540036i	$0.818411\pi$
$80$	−2.28546	+	1.91773i	−0.255523	+	0.214409i
$81$	7.40643	+	6.21473i	0.822937	+	0.690526i
$82$	0.0908835	+	0.515426i	0.0100364	+	0.0569192i
$83$	6.78553	+	11.7529i	0.744809	+	1.29005i	0.950284	+	0.311384i	$0.100793\pi$
$83$	6.78553	+	11.7529i	0.744809	+	1.29005i	−0.205475	+	0.978662i	$0.565874\pi$
$84$	2.35592	−	4.08058i	0.257052	−	0.445227i
$85$	2.51392	+	0.914991i	0.272673	+	0.0992447i
$86$	8.52650	+	3.10339i	0.919436	+	0.334647i
$87$	7.90913	−	13.6990i	0.847948	−	1.46869i
$88$	−5.10413	−	8.84062i	−0.544102	−	0.942413i
$89$	−1.33178	−	7.55289i	−0.141168	−	0.800605i	−0.970364	−	0.241647i	$-0.922312\pi$
$89$	−1.33178	−	7.55289i	−0.141168	−	0.800605i	0.829196	−	0.558958i	$-0.188799\pi$
$90$	5.84826	+	4.90727i	0.616461	+	0.517272i
$91$	13.8107	−	11.5886i	1.44776	−	1.21481i
$92$	−0.136912	+	0.776465i	−0.0142740	+	0.0809521i
$93$	8.82836	−	3.21326i	0.915458	−	0.333199i
$94$	2.81668			0.290518
$95$	−1.99599	+	3.87505i	−0.204784	+	0.397572i
$96$	7.02975			0.717471
$97$	6.79298	−	2.47244i	0.689723	−	0.251039i	0.0267064	−	0.999643i	$-0.491498\pi$
$97$	6.79298	−	2.47244i	0.689723	−	0.251039i	0.663017	+	0.748605i	$0.269276\pi$
$98$	1.49898	−	8.50112i	0.151420	−	0.858743i
$99$	−15.6139	+	13.1016i	−1.56925	+	1.31676i
$100$	−0.321776	−	0.270002i	−0.0321776	−	0.0270002i
$101$	0.779999	+	4.42360i	0.0776128	+	0.440164i	0.998708	+	0.0508257i	$0.0161853\pi$
$101$	0.779999	+	4.42360i	0.0776128	+	0.440164i	−0.921095	+	0.389339i	$0.872704\pi$
$102$	5.06464	+	8.77221i	0.501474	+	0.868578i
$103$	−5.37227	+	9.30504i	−0.529345	+	0.916853i	0.470069	+	0.882630i	$0.344229\pi$
$103$	−5.37227	+	9.30504i	−0.529345	+	0.916853i	−0.999414	+	0.0342231i	$0.989104\pi$
$104$	13.8387	+	5.03686i	1.35699	+	0.493905i
$105$	−10.5409	−	3.83657i	−1.02869	−	0.374411i
$106$	−0.163563	+	0.283300i	−0.0158867	+	0.0275165i
$107$	−0.689315	−	1.19393i	−0.0666386	−	0.115421i	0.830781	−	0.556599i	$-0.187894\pi$
$107$	−0.689315	−	1.19393i	−0.0666386	−	0.115421i	−0.897420	+	0.441178i	$0.854561\pi$
$108$	−0.675332	−	3.83000i	−0.0649839	−	0.368542i
$109$	7.27648	+	6.10570i	0.696961	+	0.584820i	0.920907	−	0.389782i	$-0.127450\pi$
$109$	7.27648	+	6.10570i	0.696961	+	0.584820i	−0.223946	+	0.974601i	$0.571894\pi$
$110$	−3.23133	+	2.71141i	−0.308096	+	0.258523i
$111$	0.519372	−	2.94551i	0.0492966	−	0.279575i
$112$	10.4401	−	3.79990i	0.986501	−	0.359057i
$113$	−17.0436			−1.60333			−0.801666	−	0.597772i	$-0.796053\pi$
$113$	−17.0436			−1.60333			−0.801666	+	0.597772i	$0.796053\pi$
$114$	−15.2203	+	6.38166i	−1.42551	+	0.597697i
$115$	1.87703			0.175034
$116$	−2.07278	+	0.754429i	−0.192453	+	0.0700470i
$117$	5.10603	−	28.9578i	0.472053	−	2.67715i
$118$	−4.99626	+	4.19236i	−0.459943	+	0.385938i
$119$	−7.63167	−	6.40373i	−0.699594	−	0.587029i
$120$	−1.59114	−	9.02379i	−0.145250	−	0.823755i
$121$	−0.130955	−	0.226821i	−0.0119050	−	0.0206201i
$122$	−0.483263	+	0.837035i	−0.0437525	+	0.0757816i
$123$	−1.17861	−	0.428979i	−0.106272	−	0.0386797i
$124$	−1.23108	−	0.448078i	−0.110555	−	0.0402386i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	−14.2149	−	24.6209i	−1.26636	−	2.19340i
$127$	3.44862	+	19.5581i	0.306016	+	1.73550i	0.618685	+	0.785640i	$0.287666\pi$
$127$	3.44862	+	19.5581i	0.306016	+	1.73550i	−0.312669	+	0.949862i	$0.601223\pi$
$128$	4.99455	+	4.19092i	0.441460	+	0.370429i
$129$	−16.6574	+	13.9773i	−1.46661	+	1.23063i
$130$	1.05671	−	5.99289i	0.0926794	−	0.525611i
$131$	−5.09611	+	1.85483i	−0.445249	+	0.162057i	−0.554908	−	0.831912i	$-0.687246\pi$
$131$	−5.09611	+	1.85483i	−0.445249	+	0.162057i	0.109659	+	0.993969i	$0.465024\pi$
$132$	4.24616			0.369581
$133$	11.9201	−	11.0179i	1.03360	−	0.955375i
$134$	13.5469			1.17027
$135$	−8.70029	+	3.16665i	−0.748802	+	0.272541i
$136$	1.41313	−	8.01425i	0.121175	−	0.687216i
$137$	−14.2189	+	11.9311i	−1.21480	+	1.01934i	−0.215723	+	0.976455i	$0.569211\pi$
$137$	−14.2189	+	11.9311i	−1.21480	+	1.01934i	−0.999080	+	0.0428860i	$0.986345\pi$
$138$	5.44425	+	4.56827i	0.463446	+	0.388877i
$139$	−1.82551	−	10.3530i	−0.154838	−	0.878128i	−0.958934	−	0.283629i	$-0.908461\pi$
$139$	−1.82551	−	10.3530i	−0.154838	−	0.878128i	0.804096	−	0.594499i	$-0.202650\pi$
$140$	0.782113	+	1.35466i	0.0661006	+	0.114490i
$141$	−3.37502	+	5.84571i	−0.284228	+	0.492298i
$142$	−2.36404	−	0.860438i	−0.198385	−	0.0722064i
$143$	15.2670	+	5.55674i	1.27669	+	0.464678i
$144$	9.06027	−	15.6929i	0.755023	−	1.30774i
$145$	2.62565	+	4.54776i	0.218049	+	0.377671i
$146$	0.995879	+	5.64791i	0.0824196	+	0.467425i
$147$	15.8470	+	13.2972i	1.30704	+	1.09674i
$148$	−0.319500	+	0.268092i	−0.0262627	+	0.0220370i
$149$	2.62919	−	14.9109i	0.215392	−	1.22155i	−0.664834	−	0.746992i	$-0.731498\pi$
$149$	2.62919	−	14.9109i	0.215392	−	1.22155i	0.880225	−	0.474556i	$-0.157391\pi$
$150$	−3.55794	+	1.29499i	−0.290505	+	0.105735i
$151$	11.3432			0.923095			0.461548	−	0.887115i	$-0.347294\pi$
$151$	11.3432			0.923095			0.461548	+	0.887115i	$0.347294\pi$
$152$	12.6628	+	3.93248i	1.02709	+	0.318966i
$153$	−16.2486			−1.31362
$154$	14.7609	−	5.37254i	1.18947	−	0.432932i
$155$	−0.541593	+	3.07153i	−0.0435018	+	0.246711i
$156$	−4.69253	+	3.93750i	−0.375703	+	0.315253i
$157$	−3.22909	−	2.70953i	−0.257710	−	0.216244i	0.504774	−	0.863252i	$-0.331576\pi$
$157$	−3.22909	−	2.70953i	−0.257710	−	0.216244i	−0.762484	+	0.647007i	$0.776020\pi$
$158$	−2.63059	−	14.9188i	−0.209279	−	1.18688i
$159$	−0.391972	−	0.678916i	−0.0310854	−	0.0538415i
$160$	−1.16686	+	2.02106i	−0.0922483	+	0.159779i
$161$	−6.56836	−	2.39069i	−0.517659	−	0.188413i
$162$	−11.4199	−	4.15651i	−0.897233	−	0.326566i
$163$	6.95280	−	12.0426i	0.544585	−	0.943249i	−0.454048	−	0.890977i	$-0.650020\pi$
$163$	6.95280	−	12.0426i	0.544585	−	0.943249i	0.998633	−	0.0522718i	$-0.0166462\pi$
$164$	0.0874505	+	0.151469i	0.00682873	+	0.0118277i
$165$	−1.75537	−	9.95517i	−0.136655	−	0.775009i
$166$	−13.0674	−	10.9649i	−1.01423	−	0.851038i
$167$	13.4994	−	11.3273i	1.04462	−	0.876537i	0.0520984	−	0.998642i	$-0.483409\pi$
$167$	13.4994	−	11.3273i	1.04462	−	0.876537i	0.992517	+	0.122105i	$0.0389646\pi$
$168$	−5.92526	+	33.6038i	−0.457144	+	2.59259i
$169$	−9.80875	+	3.57009i	−0.754519	+	0.274623i
$170$	−3.36269			−0.257907
$171$	3.34214	−	26.2627i	0.255580	−	2.00836i
$172$	3.03223			0.231206
$173$	12.5150	−	4.55510i	0.951499	−	0.346317i	0.180803	−	0.983519i	$-0.442131\pi$
$173$	12.5150	−	4.55510i	0.951499	−	0.346317i	0.770697	+	0.637202i	$0.219908\pi$
$174$	−3.45264	+	19.5809i	−0.261744	+	1.48442i
$175$	2.85269	−	2.39369i	0.215643	−	0.180946i
$176$	7.66974	+	6.43567i	0.578128	+	0.485107i
$177$	−2.71413	−	15.3926i	−0.204007	−	1.15698i
$178$	4.82007	+	8.34861i	0.361280	+	0.625755i
$179$	−7.31322	+	12.6669i	−0.546616	+	0.946767i	0.451887	+	0.892075i	$0.350751\pi$
$179$	−7.31322	+	12.6669i	−0.546616	+	0.946767i	−0.998503	+	0.0546916i	$0.982582\pi$
$180$	2.39738	+	0.872573i	0.178690	+	0.0650378i
$181$	8.25497	+	3.00456i	0.613587	+	0.223328i	0.630072	−	0.776537i	$-0.283025\pi$
$181$	8.25497	+	3.00456i	0.613587	+	0.223328i	−0.0164849	+	0.999864i	$0.505248\pi$
$182$	−11.3306	+	19.6253i	−0.839883	+	1.45472i
$183$	−1.15812	−	2.00592i	−0.0856105	−	0.148282i
$184$	−0.991488	−	5.62301i	−0.0730934	−	0.414533i
$185$	0.760626	+	0.638241i	0.0559223	+	0.0469244i
$186$	−9.04628	+	7.59073i	−0.663305	+	0.556579i
$187$	1.55898	−	8.84144i	0.114004	−	0.646550i
$188$	0.884506	−	0.321934i	0.0645092	−	0.0234794i
$189$	34.4785			2.50794
$190$	0.691664	−	5.43513i	0.0501786	−	0.394306i
$191$	−9.70737			−0.702401			−0.351200	−	0.936300i	$-0.614226\pi$
$191$	−9.70737			−0.702401			−0.351200	+	0.936300i	$0.614226\pi$
$192$	−25.1932	+	9.16956i	−1.81816	+	0.661756i
$193$	−3.51718	+	19.9469i	−0.253172	+	1.43581i	0.547549	+	0.836774i	$0.315561\pi$
$193$	−3.51718	+	19.9469i	−0.253172	+	1.43581i	−0.800721	+	0.599038i	$0.795550\pi$
$194$	−6.96066	+	5.84069i	−0.499747	+	0.419337i
$195$	11.1714	+	9.37393i	0.800001	+	0.671281i
$196$	−0.500925	−	2.84089i	−0.0357803	−	0.202920i
$197$	4.63091	+	8.02097i	0.329939	+	0.571470i	0.982499	−	0.186266i	$-0.0596386\pi$
$197$	4.63091	+	8.02097i	0.329939	+	0.571470i	−0.652561	+	0.757736i	$0.726305\pi$
$198$	12.8100	−	22.1875i	0.910366	−	1.57680i
$199$	−17.0574	−	6.20837i	−1.20916	−	0.440100i	−0.342750	−	0.939427i	$-0.611358\pi$
$199$	−17.0574	−	6.20837i	−1.20916	−	0.440100i	−0.866414	+	0.499327i	$0.833581\pi$
$200$	2.85846	+	1.04039i	0.202123	+	0.0735669i
$201$	−16.2322	+	28.1150i	−1.14493	+	1.98308i
$202$	−2.82303	−	4.88964i	−0.198628	−	0.344034i
$203$	−3.39577	−	19.2583i	−0.238336	−	1.35167i
$204$	2.59304	+	2.17582i	0.181549	+	0.152338i
$205$	0.318968	−	0.267646i	0.0222777	−	0.0186932i
$206$	2.34520	−	13.3003i	0.163398	−	0.926675i
$207$	−10.7129	+	3.89918i	−0.744599	+	0.271012i
$208$	−14.4439			−1.00150
$209$	13.9698	+	4.33836i	0.966310	+	0.300091i
$210$	14.0998			0.972980
$211$	−16.3337	+	5.94498i	−1.12446	+	0.409269i	−0.836277	−	0.548307i	$-0.815273\pi$
$211$	−16.3337	+	5.94498i	−1.12446	+	0.409269i	−0.288181	+	0.957576i	$0.593050\pi$
$212$	−0.0189829	+	0.107658i	−0.00130375	+	0.00739396i
$213$	4.61840	−	3.87530i	0.316448	−	0.265531i
$214$	1.32747	+	1.11388i	0.0907438	+	0.0761431i
$215$	−1.25353	−	7.10910i	−0.0854897	−	0.484836i
$216$	14.0820	+	24.3907i	0.958157	+	1.65958i
$217$	5.80728	−	10.0585i	0.394224	−	0.682816i
$218$	−11.2195	−	4.08358i	−0.759884	−	0.276575i
$219$	−12.9149	−	4.70065i	−0.872710	−	0.317640i
$220$	−0.704815	+	1.22078i	−0.0475186	+	0.0823047i
$221$	6.47587	+	11.2165i	0.435614	+	0.754505i
$222$	0.652831	+	3.70239i	0.0438151	+	0.248488i
$223$	−6.68504	−	5.60941i	−0.447663	−	0.375634i	0.390905	−	0.920431i	$-0.372162\pi$
$223$	−6.68504	−	5.60941i	−0.447663	−	0.375634i	−0.838568	+	0.544797i	$0.816607\pi$
$224$	6.65737	−	5.58619i	0.444814	−	0.373243i
$225$	1.05468	−	5.98139i	0.0703121	−	0.398759i
$226$	20.1312	−	7.32717i	1.33911	−	0.487396i
$227$	−20.1154			−1.33510			−0.667552	−	0.744563i	$-0.732658\pi$
$227$	−20.1154			−1.33510			−0.667552	+	0.744563i	$0.732658\pi$
$228$	−4.05015	+	3.74361i	−0.268228	+	0.247927i
$229$	−20.8410			−1.37721			−0.688607	−	0.725135i	$-0.741778\pi$
$229$	−20.8410			−1.37721			−0.688607	+	0.725135i	$0.741778\pi$
$230$	−2.21707	+	0.806946i	−0.146189	+	0.0532085i
$231$	−6.53684	+	37.0723i	−0.430092	+	2.43918i
$232$	12.2368	−	10.2679i	0.803384	−	0.674119i
$233$	0.416767	+	0.349709i	0.0273033	+	0.0229102i	0.656337	−	0.754468i	$-0.272105\pi$
$233$	0.416767	+	0.349709i	0.0273033	+	0.0229102i	−0.629034	+	0.777378i	$0.716549\pi$
$234$	6.41809	+	36.3988i	0.419563	+	2.37946i
$235$	−1.12043	−	1.94064i	−0.0730889	−	0.126594i
$236$	−1.08978	+	1.88755i	−0.0709386	+	0.122869i
$237$	34.1145	+	12.4166i	2.21597	+	0.806548i
$238$	11.7672	+	4.28291i	0.762754	+	0.277620i
$239$	11.1117	−	19.2461i	0.718758	−	1.24493i	−0.242733	−	0.970093i	$-0.578044\pi$
$239$	11.1117	−	19.2461i	0.718758	−	1.24493i	0.961492	−	0.274833i	$-0.0886226\pi$
$240$	4.49347	+	7.78292i	0.290052	+	0.502385i
$241$	3.77399	+	21.4034i	0.243104	+	1.37871i	0.824854	+	0.565345i	$0.191257\pi$
$241$	3.77399	+	21.4034i	0.243104	+	1.37871i	−0.581750	+	0.813368i	$0.697632\pi$
$242$	0.252190	+	0.211613i	0.0162114	+	0.0136030i
$243$	1.03242	−	0.866300i	0.0662295	−	0.0555732i
$244$	−0.0560868	+	0.318084i	−0.00359059	+	0.0203633i
$245$	−6.45340	+	2.34885i	−0.412293	+	0.150062i
$246$	1.57654			0.100517
$247$	−19.4613	+	8.15987i	−1.23829	+	0.519200i
$248$	9.48743			0.602452
$249$	38.4141	−	13.9816i	2.43440	−	0.886048i
$250$	0.218269	−	1.23787i	0.0138045	−	0.0782895i
$251$	13.6539	−	11.4570i	0.861828	−	0.723160i	−0.100533	−	0.994934i	$-0.532055\pi$
$251$	13.6539	−	11.4570i	0.861828	−	0.723160i	0.962361	+	0.271774i	$0.0876104\pi$
$252$	−7.27787	−	6.10686i	−0.458463	−	0.384696i
$253$	−1.09382	−	6.20338i	−0.0687681	−	0.390003i
$254$	−12.4815	−	21.6186i	−0.783160	−	1.35647i
$255$	4.02927	−	6.97890i	0.252323	−	0.437036i
$256$	9.02608	+	3.28522i	0.564130	+	0.205326i
$257$	−14.7756	−	5.37788i	−0.921678	−	0.335463i	−0.162772	−	0.986664i	$-0.552043\pi$
$257$	−14.7756	−	5.37788i	−0.921678	−	0.335463i	−0.758906	+	0.651201i	$0.774266\pi$
$258$	13.6662	−	23.6705i	0.850817	−	1.47366i
$259$	−1.84879	−	3.20220i	−0.114878	−	0.198975i
$260$	−0.353128	−	2.00269i	−0.0219001	−	0.124201i
$261$	−24.4327	−	20.5015i	−1.51235	−	1.26901i
$262$	5.22190	−	4.38170i	0.322610	−	0.270702i
$263$	−5.28766	+	29.9878i	−0.326051	+	1.84913i	0.176133	+	0.984366i	$0.443641\pi$
$263$	−5.28766	+	29.9878i	−0.326051	+	1.84913i	−0.502184	+	0.864761i	$0.667470\pi$
$264$	−28.8954	+	10.5171i	−1.77839	+	0.647281i
$265$	0.260252			0.0159871
$266$	−9.34285	+	18.1384i	−0.572847	+	1.11214i
$267$	−23.1022			−1.41383
$268$	4.25404	−	1.54835i	0.259857	−	0.0945802i
$269$	0.453555	−	2.57224i	0.0276537	−	0.156832i	−0.967854	−	0.251513i	$-0.919072\pi$
$269$	0.453555	−	2.57224i	0.0276537	−	0.156832i	0.995508	+	0.0946808i	$0.0301830\pi$
$270$	8.91505	−	7.48061i	0.542553	−	0.455256i
$271$	−7.36033	−	6.17605i	−0.447108	−	0.375168i	0.391253	−	0.920283i	$-0.372042\pi$
$271$	−7.36033	−	6.17605i	−0.447108	−	0.375168i	−0.838361	+	0.545115i	$0.816486\pi$
$272$	1.38598	+	7.86027i	0.0840372	+	0.476599i
$273$	−27.1534	−	47.0311i	−1.64340	−	2.84645i
$274$	11.6655	−	20.2053i	0.704740	−	1.22064i
$275$	3.15349	+	1.14778i	0.190163	+	0.0692136i
$276$	2.23176	+	0.812295i	0.134336	+	0.0488944i
$277$	−10.0336	+	17.3787i	−0.602860	+	1.04418i	0.389526	+	0.921015i	$0.372639\pi$
$277$	−10.0336	+	17.3787i	−0.602860	+	1.04418i	−0.992386	+	0.123168i	$0.960695\pi$
$278$	6.60702	+	11.4437i	0.396263	+	0.686348i
$279$	−3.28945	−	18.6554i	−0.196934	−	1.11687i
$280$	−8.67761	−	7.28138i	−0.518586	−	0.435146i
$281$	20.3428	−	17.0696i	1.21355	−	1.01829i	0.214410	−	0.976744i	$-0.431217\pi$
$281$	20.3428	−	17.0696i	1.21355	−	1.01829i	0.999137	−	0.0415429i	$-0.0132273\pi$
$282$	1.47333	−	8.35565i	0.0877353	−	0.497572i
$283$	15.7669	−	5.73869i	0.937247	−	0.341130i	0.172169	−	0.985067i	$-0.444923\pi$
$283$	15.7669	−	5.73869i	0.937247	−	0.341130i	0.765078	+	0.643938i	$0.222700\pi$
$284$	−0.840709			−0.0498869
$285$	10.4513	+	7.94800i	0.619079	+	0.470799i
$286$	−20.4216			−1.20756
$287$	−1.45706	+	0.530328i	−0.0860078	+	0.0313043i
$288$	2.46133	−	13.9589i	0.145035	−	0.822535i
$289$	−7.54018	+	6.32696i	−0.443540	+	0.372174i
$290$	−5.05642	−	4.24284i	−0.296923	−	0.249148i
$291$	−3.78126	−	21.4446i	−0.221661	−	1.25710i
$292$	0.958262	+	1.65976i	0.0560780	+	0.0971300i
$293$	−6.68939	+	11.5864i	−0.390799	+	0.676883i	−0.992555	−	0.121797i	$-0.961134\pi$
$293$	−6.68939	+	11.5864i	−0.390799	+	0.676883i	0.601757	+	0.798680i	$0.294468\pi$
$294$	−24.4344	−	8.89340i	−1.42504	−	0.518674i
$295$	4.87590	+	1.77468i	0.283886	+	0.103326i
$296$	1.51020	−	2.61574i	0.0877783	−	0.152037i
$297$	15.5355	+	26.9082i	0.901458	+	1.56137i
$298$	3.30479	+	18.7424i	0.191441	+	1.08572i
$299$	6.96126	+	5.84119i	0.402580	+	0.337805i
$300$	−0.969270	+	0.813314i	−0.0559608	+	0.0469567i
$301$	−4.66803	+	26.4737i	−0.269061	+	1.52592i
$302$	−13.3981	+	4.87650i	−0.770973	+	0.280611i
$303$	13.5305			0.777310
$304$	−12.9897	+	0.623401i	−0.745008	+	0.0357545i
$305$	0.768938			0.0440293
$306$	19.1922	−	6.98537i	1.09714	−	0.399327i
$307$	4.85734	−	27.5473i	0.277223	−	1.57221i	−0.454588	−	0.890702i	$-0.650213\pi$
$307$	4.85734	−	27.5473i	0.277223	−	1.57221i	0.731811	−	0.681508i	$-0.238675\pi$
$308$	4.02124	−	3.37422i	0.229131	−	0.192264i
$309$	24.7932	+	20.8040i	1.41044	+	1.18350i
$310$	−0.680761	−	3.86079i	−0.0386646	−	0.219278i
$311$	−12.4175	−	21.5078i	−0.704132	−	1.21959i	−0.967004	−	0.254762i	$-0.918003\pi$
$311$	−12.4175	−	21.5078i	−0.704132	−	1.21959i	0.262871	−	0.964831i	$-0.415331\pi$
$312$	22.1804	−	38.4176i	1.25572	−	2.17497i
$313$	20.9294	+	7.61769i	1.18300	+	0.430577i	0.857261	−	0.514882i	$-0.172164\pi$
$313$	20.9294	+	7.61769i	1.18300	+	0.430577i	0.325741	+	0.945459i	$0.394386\pi$
$314$	4.97891	+	1.81218i	0.280976	+	0.102267i
$315$	−11.3089	+	19.5876i	−0.637185	+	1.10364i
$316$	−2.53122	−	4.38421i	−0.142393	−	0.246631i
$317$	−2.44421	−	13.8618i	−0.137281	−	0.778557i	−0.973244	−	0.229772i	$-0.926202\pi$
$317$	−2.44421	−	13.8618i	−0.137281	−	0.778557i	0.835964	−	0.548785i	$-0.184909\pi$
$318$	0.754851	+	0.633395i	0.0423299	+	0.0355190i
$319$	13.4998	−	11.3277i	0.755844	−	0.634228i
$320$	1.54552	−	8.76510i	0.0863974	−	0.489984i
$321$	−3.90234	+	1.42034i	−0.217807	+	0.0792754i
$322$	8.78604			0.489627
$323$	6.30799	+	9.80776i	0.350986	+	0.545718i
$324$	−4.06120			−0.225622
$325$	−4.54934	+	1.65582i	−0.252352	+	0.0918486i
$326$	−3.03516	+	17.2133i	−0.168102	+	0.953354i
$327$	21.9186	−	18.3919i	1.21210	−	1.01707i
$328$	−0.970270	−	0.814153i	−0.0535742	−	0.0449541i
$329$	1.44906	+	8.21802i	0.0798892	+	0.453074i
$330$	6.35315	+	11.0040i	0.349730	+	0.605749i
$331$	2.64274	−	4.57737i	0.145258	−	0.251595i	−0.784211	−	0.620494i	$-0.786932\pi$
$331$	2.64274	−	4.57737i	0.145258	−	0.251595i	0.929469	+	0.368899i	$0.120265\pi$
$332$	−5.35672	−	1.94969i	−0.293988	−	0.107003i
$333$	−5.66701	−	2.06262i	−0.310550	−	0.113031i
$334$	−11.0752	+	19.1829i	−0.606009	+	1.04964i
$335$	−5.38873	−	9.33356i	−0.294418	−	0.509947i
$336$	−5.81142	−	32.9582i	−0.317039	−	1.79802i
$337$	18.2993	+	15.3550i	0.996828	+	0.836438i	0.986542	−	0.163509i	$-0.0522813\pi$
$337$	18.2993	+	15.3550i	0.996828	+	0.836438i	0.0102861	+	0.999947i	$0.496726\pi$
$338$	10.0509	−	8.43368i	0.546695	−	0.458732i
$339$	−8.91506	+	50.5598i	−0.484200	+	2.74603i
$340$	−1.05597	+	0.384341i	−0.0572679	+	0.0208438i
$341$	10.4667			0.566802
$342$	7.34290	+	32.4572i	0.397059	+	1.75508i
$343$	−0.493173			−0.0266288
$344$	−20.6345	+	7.51036i	−1.11254	+	0.404931i
$345$	0.981822	−	5.56819i	0.0528595	−	0.299781i
$346$	−12.8239	+	10.7606i	−0.689419	+	0.578492i
$347$	−6.71594	−	5.63534i	−0.360531	−	0.302521i	0.444472	−	0.895793i	$-0.353391\pi$
$347$	−6.71594	−	5.63534i	−0.360531	−	0.302521i	−0.805002	+	0.593272i	$0.797836\pi$
$348$	1.15379	+	6.54349i	0.0618499	+	0.350768i
$349$	−1.02005	−	1.76679i	−0.0546023	−	0.0945739i	0.837432	−	0.546541i	$-0.184056\pi$
$349$	−1.02005	−	1.76679i	−0.0546023	−	0.0945739i	−0.892035	+	0.451967i	$0.850722\pi$
$350$	−2.34041	+	4.05371i	−0.125100	+	0.216680i
$351$	−42.1208	−	15.3307i	−2.24824	−	0.818293i
$352$	7.35936	+	2.67859i	0.392255	+	0.142769i
$353$	−4.53225	+	7.85009i	−0.241227	+	0.417818i	−0.961064	−	0.276325i	$-0.910883\pi$
$353$	−4.53225	+	7.85009i	−0.241227	+	0.417818i	0.719837	+	0.694143i	$0.244217\pi$
$354$	9.82319	+	17.0143i	0.522097	+	0.904298i
$355$	0.347549	+	1.97105i	0.0184460	+	0.104612i
$356$	2.46783	+	2.07076i	0.130795	+	0.109750i
$357$	−22.9885	+	19.2896i	−1.21668	+	1.02092i
$358$	3.19250	−	18.1056i	0.168729	−	0.956909i
$359$	22.1964	−	8.07884i	1.17148	−	0.426385i	0.318297	−	0.947991i	$-0.396889\pi$
$359$	22.1964	−	8.07884i	1.17148	−	0.426385i	0.853186	+	0.521606i	$0.174667\pi$
$360$	−18.4755			−0.973746
$361$	−17.1498	+	8.17830i	−0.902621	+	0.430437i
$362$	−11.0421			−0.580360
$363$	−0.741361	+	0.269833i	−0.0389113	+	0.0141626i
$364$	−1.31502	+	7.45785i	−0.0689258	+	0.390898i
$365$	3.49517	−	2.93280i	0.182946	−	0.153510i
$366$	2.23028	+	1.87142i	0.116578	+	0.0978208i
$367$	1.80960	+	10.2628i	0.0944606	+	0.535713i	0.994911	+	0.100755i	$0.0321257\pi$
$367$	1.80960	+	10.2628i	0.0944606	+	0.535713i	−0.900451	+	0.434958i	$0.856763\pi$
$368$	2.80002	+	4.84978i	0.145961	+	0.252812i
$369$	−1.26448	+	2.19015i	−0.0658264	+	0.114015i
$370$	−1.17280	−	0.426865i	−0.0609711	−	0.0221917i
$371$	−0.910709	−	0.331471i	−0.0472817	−	0.0172091i
$372$	−1.97317	+	3.41762i	−0.102304	+	0.177195i
$373$	−4.60227	−	7.97137i	−0.238297	−	0.412742i	0.721929	−	0.691967i	$-0.243256\pi$
$373$	−4.60227	−	7.97137i	−0.238297	−	0.412742i	−0.960226	+	0.279225i	$0.909922\pi$
$374$	1.95958	+	11.1133i	0.101328	+	0.574657i
$375$	2.30752	+	1.93624i	0.119160	+	0.0999869i
$376$	−5.22174	+	4.38156i	−0.269291	+	0.225962i
$377$	−4.41469	+	25.0370i	−0.227368	+	1.28947i
$378$	−40.7245	+	14.8225i	−2.09464	+	0.762387i
$379$	12.6143			0.647954			0.323977	−	0.946065i	$-0.394980\pi$
$379$	12.6143			0.647954			0.323977	+	0.946065i	$0.394980\pi$
$380$	−0.404012	−	1.78582i	−0.0207254	−	0.0916106i
$381$	59.8228			3.06482
$382$	11.4659	−	4.17326i	0.586648	−	0.213522i
$383$	0.0919877	−	0.521688i	0.00470035	−	0.0266570i	−0.982367	−	0.186961i	$-0.940136\pi$
$383$	0.0919877	−	0.521688i	0.00470035	−	0.0266570i	0.987068	+	0.160304i	$0.0512474\pi$
$384$	15.0448	−	12.6241i	0.767754	−	0.644222i
$385$	−9.57327	−	8.03292i	−0.487899	−	0.409396i
$386$	−4.42096	−	25.0725i	−0.225021	−	1.27616i
$387$	21.9222	+	37.9703i	1.11437	+	1.93014i
$388$	−1.51825	+	2.62969i	−0.0770776	+	0.133502i
$389$	−28.5541	−	10.3928i	−1.44775	−	0.526938i	−0.505788	−	0.862658i	$-0.668798\pi$
$389$	−28.5541	−	10.3928i	−1.44775	−	0.526938i	−0.941962	+	0.335720i	$0.891020\pi$
$390$	−17.2251	−	6.26942i	−0.872227	−	0.317465i
$391$	2.51077	−	4.34878i	0.126975	−	0.219927i
$392$	10.4452	+	18.0917i	0.527565	+	0.913769i
$393$	2.83671	+	16.0878i	0.143093	+	0.811521i
$394$	−8.91809	−	7.48317i	−0.449287	−	0.376997i
$395$	−9.23241	+	7.74692i	−0.464533	+	0.389790i
$396$	1.48671	−	8.43156i	0.0747100	−	0.423702i
$397$	11.3945	−	4.14727i	0.571875	−	0.208146i	−0.0398640	−	0.999205i	$-0.512692\pi$
$397$	11.3945	−	4.14727i	0.571875	−	0.208146i	0.611739	+	0.791060i	$0.290470\pi$
$398$	22.8164			1.14368
$399$	−26.4495	−	41.1241i	−1.32413	−	2.05878i
$400$	−2.98346			−0.149173
$401$	10.8916	−	3.96422i	0.543900	−	0.197963i	−0.0554341	−	0.998462i	$-0.517654\pi$
$401$	10.8916	−	3.96422i	0.543900	−	0.197963i	0.599334	+	0.800499i	$0.295432\pi$
$402$	7.08598	−	40.1866i	0.353417	−	2.00433i
$403$	−11.5670	+	9.70583i	−0.576191	+	0.483482i
$404$	−1.44536	−	1.21280i	−0.0719096	−	0.0603393i
$405$	1.67890	+	9.52152i	0.0834253	+	0.473128i
$406$	12.2902	+	21.2873i	0.609953	+	1.05647i
$407$	1.66607	−	2.88572i	0.0825840	−	0.143040i
$408$	−23.0350	−	8.38406i	−1.14040	−	0.415073i
$409$	−4.54489	−	1.65420i	−0.224730	−	0.0817952i	0.227201	−	0.973848i	$-0.427043\pi$
$409$	−4.54489	−	1.65420i	−0.224730	−	0.0817952i	−0.451931	+	0.892053i	$0.649265\pi$
$410$	−0.261688	+	0.453258i	−0.0129239	+	0.0223848i
$411$	27.9559	+	48.4210i	1.37896	+	2.38843i
$412$	−0.783713	−	4.44466i	−0.0386108	−	0.218973i
$413$	−14.8021	−	12.4204i	−0.728364	−	0.611170i
$414$	10.9774	−	9.21110i	0.539508	−	0.452701i
$415$	−2.35659	+	13.3649i	−0.115680	+	0.656056i
$416$	−10.6169	+	3.86423i	−0.520535	+	0.189459i
$417$	−31.6669			−1.55073
$418$	−18.3656	+	0.881404i	−0.898291	+	0.0431109i
$419$	12.4329			0.607385			0.303693	−	0.952770i	$-0.401780\pi$
$419$	12.4329			0.607385			0.303693	+	0.952770i	$0.401780\pi$
$420$	4.42768	−	1.61155i	0.216049	−	0.0786354i
$421$	4.79547	−	27.1965i	0.233717	−	1.32547i	−0.611582	−	0.791181i	$-0.709467\pi$
$421$	4.79547	−	27.1965i	0.233717	−	1.32547i	0.845299	−	0.534294i	$-0.179422\pi$
$422$	16.7369	−	14.0439i	0.814738	−	0.683647i
$423$	10.4261	+	8.74850i	0.506932	+	0.425367i
$424$	−0.137471	−	0.779635i	−0.00667617	−	0.0378624i
$425$	1.33763	+	2.31684i	0.0648845	+	0.112383i
$426$	−3.78904	+	6.56281i	−0.183580	+	0.317969i
$427$	−2.69077	−	0.979362i	−0.130216	−	0.0473946i
$428$	0.544168	+	0.198061i	0.0263034	+	0.00957364i
$429$	24.4698	−	42.3829i	1.18141	−	2.04627i
$430$	4.53686	+	7.85806i	0.218787	+	0.378949i
$431$	1.23145	+	6.98391i	0.0593170	+	0.336403i	0.999996	−	0.00289506i	$-0.000921529\pi$
$431$	1.23145	+	6.98391i	0.0593170	+	0.336403i	−0.940679	+	0.339298i	$0.889810\pi$
$432$	−21.1603	−	17.7556i	−1.01808	−	0.854268i
$433$	−5.04353	+	4.23203i	−0.242377	+	0.203378i	−0.755881	−	0.654709i	$-0.772791\pi$
$433$	−5.04353	+	4.23203i	−0.242377	+	0.203378i	0.513505	+	0.858087i	$0.328347\pi$
$434$	−2.53510	+	14.3773i	−0.121689	+	0.690131i
$435$	14.8643	−	5.41016i	0.712689	−	0.259397i
$436$	−3.98995			−0.191084
$437$	6.51251	+	4.95265i	0.311536	+	0.236917i
$438$	17.2754			0.825450
$439$	−4.16119	+	1.51455i	−0.198603	+	0.0722855i	−0.439407	−	0.898288i	$-0.644811\pi$
$439$	−4.16119	+	1.51455i	−0.198603	+	0.0722855i	0.240804	+	0.970574i	$0.422589\pi$
$440$	1.77265	−	10.0532i	0.0845076	−	0.479267i
$441$	31.9527	−	26.8115i	1.52156	−	1.27674i
$442$	−12.4711	−	10.4645i	−0.593188	−	0.497744i
$443$	−0.481376	−	2.73002i	−0.0228709	−	0.129707i	0.971235	−	0.238125i	$-0.0765327\pi$
$443$	−0.481376	−	2.73002i	−0.0228709	−	0.129707i	−0.994105	+	0.108418i	$0.965422\pi$
$444$	0.628171	+	1.08802i	0.0298117	+	0.0516353i
$445$	3.83470	−	6.64190i	0.181782	−	0.314856i
$446$	10.3076	+	3.75166i	0.488079	+	0.177646i
$447$	−42.8577	−	15.5989i	−2.02710	−	0.737805i
$448$	−16.5720	+	28.7036i	−0.782955	+	1.35612i
$449$	−13.1785	−	22.8258i	−0.621930	−	1.07721i	−0.989126	−	0.147071i	$-0.953016\pi$
$449$	−13.1785	−	22.8258i	−0.621930	−	1.07721i	0.367196	−	0.930144i	$-0.380318\pi$
$450$	1.32569	+	7.51838i	0.0624938	+	0.354420i
$451$	−1.07042	−	0.898186i	−0.0504039	−	0.0422939i
$452$	5.48423	−	4.60182i	0.257957	−	0.216451i
$453$	5.93330	−	33.6494i	0.278771	−	1.58099i
$454$	23.7594	−	8.64772i	1.11508	−	0.405857i
$455$	18.0286			0.845195
$456$	18.2892	−	35.5071i	0.856470	−	1.66277i
$457$	33.5784			1.57073			0.785366	−	0.619032i	$-0.212475\pi$
$457$	33.5784			1.57073			0.785366	+	0.619032i	$0.212475\pi$
$458$	24.6165	−	8.95969i	1.15026	−	0.418659i
$459$	−4.30114	+	24.3930i	−0.200760	+	1.13857i
$460$	−0.603983	+	0.506802i	−0.0281608	+	0.0236297i
$461$	23.3279	+	19.5745i	1.08649	+	0.911674i	0.996443	−	0.0842639i	$-0.0268539\pi$
$461$	23.3279	+	19.5745i	1.08649	+	0.911674i	0.0900469	+	0.995938i	$0.471298\pi$
$462$	−8.21655	−	46.5984i	−0.382269	−	2.16795i
$463$	14.2881	+	24.7477i	0.664025	+	1.15013i	0.979549	+	0.201208i	$0.0644866\pi$
$463$	14.2881	+	24.7477i	0.664025	+	1.15013i	−0.315523	+	0.948918i	$0.602180\pi$
$464$	−7.83354	+	13.5681i	−0.363663	+	0.629883i
$465$	8.82836	+	3.21326i	0.409405	+	0.149011i
$466$	−0.642610	−	0.233891i	−0.0297683	−	0.0108348i
$467$	5.60863	−	9.71443i	0.259536	−	0.449530i	−0.706581	−	0.707632i	$-0.749764\pi$
$467$	5.60863	−	9.71443i	0.259536	−	0.449530i	0.966118	+	0.258101i	$0.0830969\pi$
$468$	6.17565	+	10.6965i	0.285470	+	0.494448i
$469$	6.96927	+	39.5247i	0.321811	+	1.82508i
$470$	2.15770	+	1.81053i	0.0995273	+	0.0835133i
$471$	−9.72684	+	8.16179i	−0.448189	+	0.376075i
$472$	2.74085	−	15.5441i	0.126158	−	0.715477i
$473$	−22.7643	+	8.28554i	−1.04670	+	0.380969i
$474$	−45.6325			−2.09597
$475$	−4.01985	+	1.68547i	−0.184443	+	0.0773346i
$476$	4.18470			0.191806
$477$	−1.48536	+	0.540625i	−0.0680098	+	0.0247535i
$478$	−4.85070	+	27.5097i	−0.221866	+	1.25826i
$479$	−13.3219	+	11.1784i	−0.608695	+	0.510755i	−0.894227	−	0.447614i	$-0.852274\pi$
$479$	−13.3219	+	11.1784i	−0.608695	+	0.510755i	0.285532	+	0.958369i	$0.407830\pi$
$480$	5.38510	+	4.51863i	0.245795	+	0.206246i
$481$	0.834738	+	4.73403i	0.0380608	+	0.215853i
$482$	−13.6591	−	23.6583i	−0.622156	−	1.07761i
$483$	−10.5277	+	18.2345i	−0.479026	+	0.829697i
$484$	0.103380	+	0.0376273i	0.00469910	+	0.00171033i
$485$	6.79298	+	2.47244i	0.308454	+	0.112268i
$486$	−0.847018	+	1.46708i	−0.0384215	+	0.0665480i
$487$	−7.67364	−	13.2911i	−0.347726	−	0.602278i	0.638119	−	0.769937i	$-0.279713\pi$
$487$	−7.67364	−	13.2911i	−0.347726	−	0.602278i	−0.985845	+	0.167659i	$0.946379\pi$
$488$	−0.406170	−	2.30350i	−0.0183864	−	0.104275i
$489$	−32.0874	−	26.9246i	−1.45104	−	1.21757i
$490$	6.61270	−	5.54871i	0.298731	−	0.250665i
$491$	1.45066	−	8.22710i	0.0654673	−	0.371284i	−0.934419	−	0.356177i	$-0.884080\pi$
$491$	1.45066	−	8.22710i	0.0654673	−	0.371284i	0.999886	−	0.0151068i	$-0.00480884\pi$
$492$	0.495073	−	0.180192i	0.0223196	−	0.00812368i
$493$	14.0486			0.632717
$494$	19.4789	−	18.0046i	0.876398	−	0.810067i
$495$	−20.3825			−0.916124
$496$	−8.74398	+	3.18255i	−0.392616	+	0.142901i
$497$	1.29425	−	7.34003i	0.0580548	−	0.329245i
$498$	−39.3623	+	33.0289i	−1.76387	+	1.48006i
$499$	0.207470	+	0.174088i	0.00928764	+	0.00779325i	0.647420	−	0.762134i	$-0.275848\pi$
$499$	0.207470	+	0.174088i	0.00928764	+	0.00779325i	−0.638132	+	0.769927i	$0.720293\pi$
$500$	−0.0729407	−	0.413667i	−0.00326201	−	0.0184997i
$501$	−26.5413	−	45.9709i	−1.18578	−	2.05383i
$502$	−11.2020	+	19.4024i	−0.499970	+	0.865973i
$503$	−39.0907	−	14.2279i	−1.74297	−	0.634389i	−0.743558	−	0.668672i	$-0.766863\pi$
$503$	−39.0907	−	14.2279i	−1.74297	−	0.634389i	−0.999412	+	0.0342827i	$0.989085\pi$
$504$	64.6521	+	23.5314i	2.87983	+	1.04817i
$505$	−2.24592	+	3.89005i	−0.0999421	+	0.173105i
$506$	3.95885	+	6.85693i	0.175992	+	0.304828i
$507$	5.45996	+	30.9650i	0.242485	+	1.37520i
$508$	−6.39041	−	5.36219i	−0.283529	−	0.237909i
$509$	1.24694	−	1.04631i	0.0552696	−	0.0463767i	−0.614734	−	0.788734i	$-0.710737\pi$
$509$	1.24694	−	1.04631i	0.0552696	−	0.0463767i	0.670004	+	0.742357i	$0.266292\pi$
$510$	−1.75893	+	9.97539i	−0.0778868	+	0.441718i
$511$	−15.9662	+	5.81121i	−0.706301	+	0.257073i
$512$	−25.1134			−1.10987
$513$	−38.5418	−	11.9693i	−1.70166	−	0.528456i
$514$	19.7643			0.871766
$515$	−10.0966	+	3.67485i	−0.444908	+	0.161933i
$516$	1.58608	−	8.99508i	0.0698231	−	0.395987i
$517$	−5.76070	+	4.83380i	−0.253355	+	0.212590i
$518$	3.56035	+	2.98749i	0.156433	+	0.131263i
$519$	−6.96638	−	39.5083i	−0.305790	−	1.73422i
$520$	7.36340	+	12.7538i	0.322907	+	0.559291i
$521$	4.57062	−	7.91655i	0.200243	−	0.346830i	−0.748364	−	0.663288i	$-0.769160\pi$
$521$	4.57062	−	7.91655i	0.200243	−	0.346830i	0.948607	+	0.316458i	$0.102494\pi$
$522$	37.6726	+	13.7117i	1.64889	+	0.600145i
$523$	−35.0501	−	12.7572i	−1.53263	−	0.557833i	−0.568368	−	0.822774i	$-0.692425\pi$
$523$	−35.0501	−	12.7572i	−1.53263	−	0.557833i	−0.964264	+	0.264942i	$0.914647\pi$
$524$	1.13900	−	1.97280i	0.0497573	−	0.0861822i
$525$	−5.60869	−	9.71454i	−0.244783	−	0.423977i
$526$	−6.64638	−	37.6935i	−0.289796	−	1.64351i
$527$	6.39178	+	5.36334i	0.278430	+	0.233631i
$528$	23.1032	−	19.3859i	1.00544	−	0.843662i
$529$	−3.38210	+	19.1809i	−0.147048	+	0.833951i
$530$	−0.307398	+	0.111884i	−0.0133525	+	0.00485992i
$531$	−31.5152			−1.36764
$532$	−0.860742	+	6.76376i	−0.0373179	+	0.293246i
$533$	2.01584			0.0873156
$534$	27.2873	−	9.93177i	1.18084	−	0.429790i
$535$	0.239397	−	1.35769i	0.0103500	−	0.0586979i
$536$	−25.1140	+	21.0732i	−1.08476	+	0.910223i
$537$	33.7508	+	28.3203i	1.45645	+	1.22211i
$538$	0.570101	+	3.23320i	0.0245788	+	0.139393i
$539$	11.5234	+	19.9590i	0.496346	+	0.859696i
$540$	1.94454	−	3.36804i	0.0836797	−	0.144938i
$541$	34.0583	+	12.3962i	1.46428	+	0.532955i	0.946541	−	0.322582i	$-0.104551\pi$
$541$	34.0583	+	12.3962i	1.46428	+	0.532955i	0.517741	+	0.855538i	$0.326773\pi$
$542$	11.3488	+	4.13063i	0.487474	+	0.177426i
$543$	13.2310	−	22.9167i	0.567795	−	0.983449i
$544$	3.12165	+	5.40685i	0.133839	+	0.231817i
$545$	1.64945	+	9.35447i	0.0706545	+	0.400701i
$546$	52.2914	+	43.8777i	2.23786	+	1.87779i
$547$	−11.5698	+	9.70823i	−0.494690	+	0.415094i	−0.855704	−	0.517466i	$-0.826875\pi$
$547$	−11.5698	+	9.70823i	−0.494690	+	0.415094i	0.361014	+	0.932561i	$0.382431\pi$
$548$	1.35388	−	7.67826i	0.0578351	−	0.327999i
$549$	−4.38862	+	1.59733i	−0.187302	+	0.0681722i
$550$	−4.21821			−0.179865
$551$	−2.88962	+	22.7068i	−0.123102	+	0.967342i
$552$	−17.1992			−0.732047
$553$	42.1742	−	15.3502i	1.79343	−	0.652755i
$554$	4.38004	−	24.8404i	0.186090	−	1.05537i
$555$	2.29120	−	1.92254i	0.0972559	−	0.0816074i
$556$	3.38273	+	2.83845i	0.143460	+	0.120377i
$557$	−1.62582	−	9.22051i	−0.0688884	−	0.390685i	−0.999684	−	0.0251450i	$-0.991995\pi$
$557$	−1.62582	−	9.22051i	−0.0688884	−	0.390685i	0.930795	−	0.365541i	$-0.119116\pi$
$558$	11.9054	+	20.6208i	0.503997	+	0.872949i
$559$	17.4741	−	30.2661i	0.739077	−	1.28012i
$560$	10.4401	+	3.79990i	0.441177	+	0.160575i
$561$	−25.4126	−	9.24942i	−1.07292	−	0.390511i
$562$	−16.6897	+	28.9073i	−0.704011	+	1.21938i
$563$	7.22271	+	12.5101i	0.304401	+	0.527238i	0.977128	−	0.212653i	$-0.0682104\pi$
$563$	7.22271	+	12.5101i	0.304401	+	0.527238i	−0.672727	+	0.739891i	$0.734877\pi$
$564$	−0.492353	−	2.79227i	−0.0207318	−	0.117576i
$565$	−13.0562	−	10.9554i	−0.549278	−	0.460899i
$566$	−16.1561	+	13.5566i	−0.679092	+	0.569826i
$567$	6.25209	−	35.4574i	0.262563	−	1.48907i
$568$	5.72108	−	2.08230i	0.240051	−	0.0873715i
$569$	−37.8642			−1.58735			−0.793675	−	0.608342i	$-0.791835\pi$
$569$	−37.8642			−1.58735			−0.793675	+	0.608342i	$0.791835\pi$
$570$	−15.7615	−	4.89478i	−0.660176	−	0.205020i
$571$	−18.5203			−0.775048			−0.387524	−	0.921860i	$-0.626670\pi$
$571$	−18.5203			−0.775048			−0.387524	+	0.921860i	$0.626670\pi$
$572$	−6.41289	+	2.33410i	−0.268136	+	0.0975937i
$573$	−5.07766	+	28.7968i	−0.212122	+	1.20300i
$574$	1.49303	−	1.25280i	0.0623179	−	0.0522909i
$575$	1.43789	+	1.20653i	0.0599641	+	0.0503158i
$576$	9.38699	+	53.2363i	0.391125	+	2.21818i
$577$	4.54048	+	7.86434i	0.189022	+	0.327397i	0.944925	−	0.327288i	$-0.106135\pi$
$577$	4.54048	+	7.86434i	0.189022	+	0.327397i	−0.755902	+	0.654685i	$0.772801\pi$
$578$	6.18614	−	10.7147i	0.257309	−	0.445673i
$579$	57.3326	+	20.8674i	2.38266	+	0.867218i
$580$	−2.07278	−	0.754429i	−0.0860674	−	0.0313260i
$581$	25.2688	−	43.7668i	1.04832	−	1.81575i
$582$	13.6854	+	23.7038i	0.567279	+	0.982556i
$583$	−0.151660	−	0.860105i	−0.00628110	−	0.0356219i
$584$	−10.6320	−	8.92130i	−0.439955	−	0.369166i
$585$	22.5251	−	18.9008i	0.931300	−	0.781453i
$586$	2.92017	−	16.5611i	0.120631	−	0.684134i
$587$	21.6480	−	7.87923i	0.893509	−	0.325211i	0.145860	−	0.989305i	$-0.453405\pi$
$587$	21.6480	−	7.87923i	0.893509	−	0.325211i	0.747649	+	0.664094i	$0.231183\pi$
$588$	−8.68948			−0.358348
$589$	−9.98350	+	9.22789i	−0.411363	+	0.380229i
$590$	−6.52216			−0.268513
$591$	26.2164	−	9.54200i	1.07840	−	0.392505i
$592$	−0.514408	+	2.91735i	−0.0211421	+	0.119903i
$593$	30.8280	−	25.8678i	1.26596	−	1.06226i	0.270935	−	0.962598i	$-0.412667\pi$
$593$	30.8280	−	25.8678i	1.26596	−	1.06226i	0.995021	−	0.0996654i	$-0.0317772\pi$
$594$	−29.9178	−	25.1040i	−1.22754	−	1.03003i
$595$	−1.72996	−	9.81108i	−0.0709214	−	0.402215i
$596$	3.17996	+	5.50785i	0.130256	+	0.225610i
$597$	−27.3393	+	47.3530i	−1.11892	+	1.93803i
$598$	−10.7335	−	3.90668i	−0.438926	−	0.159756i
$599$	35.4913	+	12.9178i	1.45014	+	0.527807i	0.942629	−	0.333841i	$-0.108345\pi$
$599$	35.4913	+	12.9178i	1.45014	+	0.527807i	0.507507	+	0.861647i	$0.330567\pi$
$600$	4.58150	−	7.93538i	0.187039	−	0.323961i
$601$	−21.9195	−	37.9656i	−0.894113	−	1.54865i	−0.834898	−	0.550404i	$-0.814474\pi$
$601$	−21.9195	−	37.9656i	−0.894113	−	1.54865i	−0.0592147	−	0.998245i	$-0.518860\pi$
$602$	−5.86753	−	33.2764i	−0.239143	−	1.35625i
$603$	50.1443	+	42.0760i	2.04203	+	1.71347i
$604$	−3.64996	+	3.06268i	−0.148515	+	0.124619i
$605$	0.0454802	−	0.257931i	0.00184903	−	0.0104864i
$606$	−15.9817	+	5.81686i	−0.649212	+	0.236294i
$607$	−7.80810			−0.316921			−0.158461	−	0.987365i	$-0.550653\pi$
$607$	−7.80810			−0.316921			−0.158461	+	0.987365i	$0.550653\pi$
$608$	−9.38120	+	3.93341i	−0.380458	+	0.159521i
$609$	−58.9059			−2.38699
$610$	−0.908236	+	0.330571i	−0.0367734	+	0.0133844i
$611$	1.88386	−	10.6839i	0.0762128	−	0.432224i
$612$	5.22841	−	4.38715i	0.211346	−	0.177340i
$613$	−29.7958	−	25.0017i	−1.20344	−	1.00981i	−0.999525	−	0.0308202i	$-0.990188\pi$
$613$	−29.7958	−	25.0017i	−1.20344	−	1.00981i	−0.203918	−	0.978988i	$-0.565367\pi$
$614$	6.10549	+	34.6259i	0.246397	+	1.39739i
$615$	−0.627125	−	1.08621i	−0.0252881	−	0.0438003i
$616$	−19.0074	+	32.9217i	−0.765829	+	1.32645i
$617$	−11.7100	−	4.26208i	−0.471426	−	0.171585i	0.0953722	−	0.995442i	$-0.469596\pi$
$617$	−11.7100	−	4.26208i	−0.471426	−	0.171585i	−0.566798	+	0.823857i	$0.691818\pi$
$618$	−38.2284	−	13.9140i	−1.53777	−	0.559704i
$619$	1.37870	−	2.38799i	0.0554148	−	0.0959813i	−0.836987	−	0.547222i	$-0.815685\pi$
$619$	1.37870	−	2.38799i	0.0554148	−	0.0959813i	0.892402	+	0.451241i	$0.149019\pi$
$620$	−0.655046	−	1.13457i	−0.0263073	−	0.0455656i
$621$	3.01779	+	17.1147i	0.121100	+	0.686791i
$622$	23.9133	+	20.0657i	0.958838	+	0.804561i
$623$	−21.8784	+	18.3582i	−0.876540	+	0.735505i
$624$	−7.55518	+	42.8476i	−0.302449	+	1.71527i
$625$	−0.939693	+	0.342020i	−0.0375877	+	0.0136808i
$626$	−27.9958			−1.11894
$627$	20.1769	−	39.1719i	0.805789	−	1.56438i
$628$	1.77062			0.0706555
$629$	2.49614	−	0.908519i	0.0995275	−	0.0362250i
$630$	4.93677	−	27.9978i	0.196686	−	1.11546i
$631$	−30.5821	+	25.6614i	−1.21745	+	1.02156i	−0.218498	+	0.975837i	$0.570116\pi$
$631$	−30.5821	+	25.6614i	−1.21745	+	1.02156i	−0.998954	+	0.0457265i	$0.985440\pi$
$632$	28.0841	+	23.5654i	1.11713	+	0.937381i
$633$	9.09201	+	51.5634i	0.361375	+	2.04946i
$634$	8.84628	+	15.3222i	0.351331	+	0.608522i
$635$	−9.92991	+	17.1991i	−0.394057	+	0.682526i
$636$	0.309436	+	0.112625i	0.0122699	+	0.00446589i
$637$	−31.2429	−	11.3715i	−1.23789	−	0.450555i
$638$	−11.0755	+	19.1834i	−0.438485	+	0.759479i
$639$	−6.07809	−	10.5276i	−0.240445	−	0.416464i
$640$	1.13217	+	6.42087i	0.0447530	+	0.253807i
$641$	−3.83994	−	3.22209i	−0.151668	−	0.127265i	0.563796	−	0.825914i	$-0.309340\pi$
$641$	−3.83994	−	3.22209i	−0.151668	−	0.127265i	−0.715464	+	0.698649i	$0.753785\pi$
$642$	3.99866	−	3.35528i	0.157815	−	0.132422i
$643$	8.67812	−	49.2161i	0.342232	−	1.94089i	0.00354380	−	0.999994i	$-0.498872\pi$
$643$	8.67812	−	49.2161i	0.342232	−	1.94089i	0.338688	−	0.940899i	$-0.390017\pi$
$644$	2.75903	−	1.00420i	0.108721	−	0.0395712i
$645$	−21.7447			−0.856199
$646$	−11.6671	−	8.87266i	−0.459038	−	0.349090i
$647$	32.7681			1.28825			0.644123	−	0.764922i	$-0.277223\pi$
$647$	32.7681			1.28825			0.644123	+	0.764922i	$0.277223\pi$
$648$	27.6367	−	10.0589i	1.08567	−	0.395153i
$649$	3.02375	−	17.1485i	0.118693	−	0.673139i
$650$	4.66164	−	3.91158i	0.182844	−	0.153425i
$651$	−26.8008	−	22.4886i	−1.05041	−	0.881396i
$652$	1.01428	+	5.75229i	0.0397224	+	0.225277i
$653$	−7.89978	−	13.6828i	−0.309142	−	0.535450i	0.669033	−	0.743233i	$-0.266709\pi$
$653$	−7.89978	−	13.6828i	−0.309142	−	0.535450i	−0.978175	+	0.207783i	$0.933375\pi$
$654$	−17.9825	+	31.1467i	−0.703173	+	1.21793i
$655$	−5.09611	−	1.85483i	−0.199122	−	0.0724743i
$656$	1.16734	+	0.424879i	0.0455772	+	0.0165887i
$657$	−13.8559	+	23.9992i	−0.540571	+	0.936296i
$658$	−5.24454	−	9.08381i	−0.204453	−	0.354124i
$659$	−2.35267	−	13.3426i	−0.0916468	−	0.519755i	−0.995723	−	0.0923845i	$-0.970551\pi$
$659$	−2.35267	−	13.3426i	−0.0916468	−	0.519755i	0.904077	−	0.427370i	$-0.140560\pi$
$660$	3.25275	+	2.72938i	0.126613	+	0.106241i
$661$	2.80202	−	2.35117i	0.108986	−	0.0914501i	−0.586666	−	0.809829i	$-0.699560\pi$
$661$	2.80202	−	2.35117i	0.108986	−	0.0914501i	0.695652	+	0.718379i	$0.255115\pi$
$662$	−1.15366	+	6.54272i	−0.0448382	+	0.254290i
$663$	36.6611	−	13.3435i	1.42380	−	0.518220i
$664$	41.2819			1.60205
$665$	16.2135	−	0.778121i	0.628733	−	0.0301743i
$666$	7.58036			0.293733
$667$	9.26242	−	3.37124i	0.358642	−	0.130535i
$668$	−1.28538	+	7.28973i	−0.0497327	+	0.282048i
$669$	−20.1370	+	16.8970i	−0.778542	+	0.653275i
$670$	10.3775	+	8.70775i	0.400918	+	0.336410i
$671$	−0.448092	−	2.54126i	−0.0172984	−	0.0981042i
$672$	−13.0891	−	22.6710i	−0.504923	−	0.874552i
$673$	13.4651	−	23.3223i	0.519043	−	0.899009i	−0.480712	−	0.876878i	$-0.659622\pi$
$673$	13.4651	−	23.3223i	0.519043	−	0.899009i	0.999755	−	0.0221303i	$-0.00704488\pi$
$674$	−28.2156	−	10.2696i	−1.08682	−	0.395571i
$675$	−8.70029	−	3.16665i	−0.334874	−	0.121884i
$676$	2.19229	−	3.79715i	0.0843187	−	0.146044i
$677$	−10.3467	−	17.9209i	−0.397654	−	0.688757i	0.595782	−	0.803146i	$-0.296842\pi$
$677$	−10.3467	−	17.9209i	−0.397654	−	0.688757i	−0.993436	+	0.114389i	$0.963509\pi$
$678$	−11.2059	−	63.5517i	−0.430359	−	2.44069i
$679$	−20.6219	−	17.3038i	−0.791396	−	0.664060i
$680$	6.23398	−	5.23093i	0.239062	−	0.200597i
$681$	−10.5218	+	59.6720i	−0.403196	+	2.28664i
$682$	−12.3628	+	4.49969i	−0.473396	+	0.172302i
$683$	26.9573			1.03149			0.515745	−	0.856742i	$-0.327515\pi$
$683$	26.9573			1.03149			0.515745	+	0.856742i	$0.327515\pi$
$684$	6.01556	+	9.35308i	0.230011	+	0.357624i
$685$	−18.5615			−0.709197
$686$	0.582515	−	0.212018i	0.0222405	−	0.00809489i
$687$	−10.9014	+	61.8247i	−0.415913	+	2.35876i
$688$	16.4982	−	13.8437i	0.628989	−	0.527785i
$689$	0.965185	+	0.809886i	0.0367706	+	0.0308542i
$690$	1.23411	+	6.99900i	0.0469818	+	0.266447i
$691$	−4.35021	−	7.53479i	−0.165490	−	0.286637i	0.771339	−	0.636424i	$-0.219587\pi$
$691$	−4.35021	−	7.53479i	−0.165490	−	0.286637i	−0.936829	+	0.349787i	$0.886254\pi$
$692$	−2.79715	+	4.84480i	−0.106332	+	0.184172i
$693$	71.3252	+	25.9602i	2.70942	+	0.986148i
$694$	10.3553	+	3.76900i	0.393080	+	0.143069i
$695$	5.25635	−	9.10426i	0.199385	−	0.345344i
$696$	−24.0588	−	41.6711i	−0.911948	−	1.57954i
$697$	−0.193432	−	1.09701i	−0.00732676	−	0.0415521i
$698$	1.96440	+	1.64832i	0.0743535	+	0.0623900i
$699$	1.25541	−	1.05341i	0.0474839	−	0.0398437i
$700$	−0.271625	+	1.54046i	−0.0102665	+	0.0582240i
$701$	0.378762	−	0.137858i	0.0143056	−	0.00520683i	−0.334857	−	0.942269i	$-0.608688\pi$
$701$	0.378762	−	0.137858i	0.0143056	−	0.00520683i	0.349163	+	0.937062i	$0.386466\pi$
$702$	56.3420			2.12649
$703$	0.955019	+	4.22139i	0.0360192	+	0.159213i
$704$	−29.8684			−1.12571
$705$	−6.34297	+	2.30865i	−0.238890	+	0.0869489i
$706$	1.97850	−	11.2206i	0.0744618	−	0.422294i
$707$	12.8138	−	10.7521i	0.481913	−	0.404373i
$708$	5.02938	+	4.22015i	0.189016	+	0.158603i
$709$	6.95535	+	39.4457i	0.261214	+	1.48142i	0.779604	+	0.626272i	$0.215420\pi$
$709$	6.95535	+	39.4457i	0.261214	+	1.48142i	−0.518391	+	0.855144i	$0.673469\pi$
$710$	−1.25788	−	2.17871i	−0.0472073	−	0.0817654i
$711$	36.6001	−	63.3932i	1.37261	−	2.37743i
$712$	−21.9227	−	7.97920i	−0.821587	−	0.299033i
$713$	5.50123	+	2.00228i	0.206023	+	0.0749861i
$714$	18.8603	−	32.6670i	0.705829	−	1.22253i
$715$	8.12342	+	14.0702i	0.303799	+	0.526194i
$716$	−1.06686	−	6.05048i	−0.0398705	−	0.226117i
$717$	−51.2811	−	43.0299i	−1.91513	−	1.60698i
$718$	−22.7443	+	19.0848i	−0.848811	+	0.712237i
$719$	3.13880	−	17.8010i	0.117058	−	0.663867i	−0.868653	−	0.495421i	$-0.835014\pi$
$719$	3.13880	−	17.8010i	0.117058	−	0.663867i	0.985711	−	0.168446i	$-0.0538749\pi$
$720$	17.0277	−	6.19759i	0.634587	−	0.230971i
$721$	40.0118			1.49012
$722$	16.7407	−	17.0327i	0.623024	−	0.633890i
$723$	65.4670			2.43474
$724$	−3.46749	+	1.26206i	−0.128868	+	0.0469042i
$725$	−0.911880	+	5.17153i	−0.0338664	+	0.192066i
$726$	0.759660	−	0.637431i	0.0281936	−	0.0236573i
$727$	20.1940	+	16.9448i	0.748953	+	0.628446i	0.935226	−	0.354052i	$-0.115196\pi$
$727$	20.1940	+	16.9448i	0.748953	+	0.628446i	−0.186273	+	0.982498i	$0.559641\pi$
$728$	−9.52311	−	54.0083i	−0.352950	−	2.00168i
$729$	12.4728	+	21.6035i	0.461954	+	0.800129i
$730$	−2.86752	+	4.96669i	−0.106132	+	0.183825i
$731$	−18.1474	−	6.60511i	−0.671205	−	0.244299i
$732$	0.914256	+	0.332762i	0.0337919	+	0.0122992i
$733$	1.65460	−	2.86584i	0.0611139	−	0.105852i	−0.833850	−	0.551992i	$-0.813868\pi$
$733$	1.65460	−	2.86584i	0.0611139	−	0.105852i	0.894964	+	0.446139i	$0.147201\pi$
$734$	−6.54946	−	11.3440i	−0.241745	−	0.418714i
$735$	3.59223	+	20.3726i	0.132501	+	0.751453i
$736$	3.35562	+	2.81570i	0.123690	+	0.103788i
$737$	−27.7062	+	23.2482i	−1.02057	+	0.856360i
$738$	0.551996	−	3.13052i	0.0203192	−	0.115236i
$739$	−16.6272	+	6.05179i	−0.611640	+	0.222619i	−0.629221	−	0.777227i	$-0.716626\pi$
$739$	−16.6272	+	6.05179i	−0.611640	+	0.222619i	0.0175807	+	0.999845i	$0.494404\pi$
$740$	−0.417077			−0.0153321
$741$	14.0265	+	62.0000i	0.515276	+	2.27763i
$742$	1.21819			0.0447212
$743$	−35.0065	+	12.7413i	−1.28427	+	0.467434i	−0.891841	−	0.452350i	$-0.850586\pi$
$743$	−35.0065	+	12.7413i	−1.28427	+	0.467434i	−0.392425	+	0.919784i	$0.628364\pi$
$744$	4.96261	−	28.1444i	0.181938	−	1.03182i
$745$	11.5986	−	9.73239i	0.424940	−	0.356567i
$746$	8.86295	+	7.43689i	0.324496	+	0.272284i
$747$	−14.3131	−	81.1738i	−0.523690	−	2.96999i
$748$	1.88556	+	3.26589i	0.0689430	+	0.119413i
$749$	−2.56695	+	4.44609i	−0.0937944	+	0.162457i
$750$	−3.55794	−	1.29499i	−0.129918	−	0.0472862i
$751$	12.7466	+	4.63939i	0.465131	+	0.169294i	0.563945	−	0.825812i	$-0.309283\pi$
$751$	12.7466	+	4.63939i	0.465131	+	0.169294i	−0.0988146	+	0.995106i	$0.531505\pi$
$752$	3.34277	−	5.78984i	0.121898	−	0.211134i
$753$	−26.8451	−	46.4971i	−0.978289	−	1.69445i
$754$	−5.54909	−	31.4705i	−0.202086	−	1.14609i
$755$	8.68938	+	7.29126i	0.316239	+	0.265356i
$756$	−11.0943	+	9.30925i	−0.403497	+	0.338574i
$757$	2.17703	−	12.3465i	0.0791255	−	0.448743i	−0.919345	−	0.393453i	$-0.871281\pi$
$757$	2.17703	−	12.3465i	0.0791255	−	0.448743i	0.998470	−	0.0552901i	$-0.0176084\pi$
$758$	−14.8995	+	5.42297i	−0.541174	+	0.196971i
$759$	−18.9744			−0.688728
$760$	7.17252	+	11.1519i	0.260175	+	0.404523i
$761$	−27.2282			−0.987022			−0.493511	−	0.869740i	$-0.664287\pi$
$761$	−27.2282			−0.987022			−0.493511	+	0.869740i	$0.664287\pi$
$762$	−70.6601	+	25.7182i	−2.55975	+	0.931672i
$763$	6.14240	−	34.8353i	0.222370	−	1.26112i
$764$	3.12360	−	2.62101i	0.113008	−	0.0948248i
$765$	−12.4472	−	10.4444i	−0.450028	−	0.377618i
$766$	0.115625	+	0.655742i	0.00417770	+	0.0236929i
$767$	12.5604	+	21.7552i	0.453528	+	0.785534i
$768$	14.4669	−	25.0574i	0.522028	−	0.904179i
$769$	0.864690	+	0.314721i	0.0311815	+	0.0113491i	0.357564	−	0.933889i	$-0.383607\pi$
$769$	0.864690	+	0.314721i	0.0311815	+	0.0113491i	−0.326382	+	0.945238i	$0.605830\pi$
$770$	14.7609	+	5.37254i	0.531947	+	0.193613i
$771$	−23.6821	+	41.0187i	−0.852892	+	1.47725i
$772$	−4.25397	−	7.36809i	−0.153104	−	0.265183i
$773$	−0.317753	−	1.80207i	−0.0114288	−	0.0648158i	0.978560	−	0.205962i	$-0.0660323\pi$
$773$	−0.317753	−	1.80207i	−0.0114288	−	0.0648158i	−0.989989	+	0.141146i	$0.954921\pi$
$774$	−42.2172	−	35.4245i	−1.51747	−	1.27331i
$775$	−2.38922	+	2.00480i	−0.0858234	+	0.0720144i
$776$	3.81848	−	21.6557i	0.137076	−	0.777394i
$777$	−10.4663	+	3.80943i	−0.375478	+	0.136663i
$778$	38.1948			1.36935
$779$	1.81288	−	0.0870041i	0.0649533	−	0.00311725i
$780$	−6.12567			−0.219334
$781$	6.31158	−	2.29723i	0.225846	−	0.0822013i
$782$	−1.09605	+	6.21598i	−0.0391945	+	0.222283i
$783$	−37.2451	+	31.2524i	−1.33103	+	1.11687i
$784$	−15.6956	−	13.1702i	−0.560556	−	0.470363i
$785$	−0.731976	−	4.15124i	−0.0261253	−	0.148164i
$786$	−10.2668	−	17.7827i	−0.366206	−	0.634287i
$787$	1.45244	−	2.51571i	0.0517740	−	0.0896752i	−0.838977	−	0.544167i	$-0.816846\pi$
$787$	1.45244	−	2.51571i	0.0517740	−	0.0896752i	0.890751	+	0.454492i	$0.150179\pi$
$788$	−3.65579	−	1.33060i	−0.130232	−	0.0474006i
$789$	86.1927	+	31.3716i	3.06854	+	1.11686i
$790$	7.57449	−	13.1194i	0.269488	−	0.466767i
$791$	31.7346	+	54.9659i	1.12835	+	1.95436i
$792$	10.7665	+	61.0596i	0.382570	+	2.16966i
$793$	2.85173	+	2.39288i	0.101268	+	0.0849737i
$794$	−11.6758	+	9.79716i	−0.414358	+	0.347688i
$795$	0.136131	−	0.772034i	0.00482805	−	0.0273812i
$796$	7.16491	−	2.60782i	0.253954	−	0.0924316i
$797$	19.9042			0.705044			0.352522	−	0.935804i	$-0.385324\pi$
$797$	19.9042			0.705044			0.352522	+	0.935804i	$0.385324\pi$
$798$	48.9205	+	37.2032i	1.73177	+	1.31698i
$799$	−5.99488			−0.212084
$800$	−2.19298	+	0.798178i	−0.0775335	+	0.0282199i
$801$	−8.08878	+	45.8737i	−0.285803	+	1.62087i
$802$	−11.1604	+	9.36472i	−0.394089	+	0.330680i
$803$	−11.7294	−	9.84211i	−0.413920	−	0.347320i
$804$	−2.36798	−	13.4295i	−0.0835121	−	0.473621i
$805$	−3.49495	−	6.05343i	−0.123181	−	0.213356i
$806$	9.48980	−	16.4368i	0.334264	−	0.578962i
$807$	−7.39327	−	2.69093i	−0.260255	−	0.0947252i
$808$	12.8397	+	4.67328i	0.451700	+	0.164405i
$809$	−22.2093	+	38.4677i	−0.780838	+	1.35245i	0.150616	+	0.988592i	$0.451874\pi$
$809$	−22.2093	+	38.4677i	−0.780838	+	1.35245i	−0.931454	+	0.363859i	$0.881459\pi$
$810$	−6.07641	−	10.5246i	−0.213503	−	0.369798i
$811$	5.91262	+	33.5322i	0.207620	+	1.17747i	0.893263	+	0.449535i	$0.148410\pi$
$811$	5.91262	+	33.5322i	0.207620	+	1.17747i	−0.685642	+	0.727939i	$0.740479\pi$
$812$	6.29247	+	5.28001i	0.220822	+	0.185292i
$813$	−22.1712	+	18.6038i	−0.777577	+	0.652464i
$814$	−0.727303	+	4.12474i	−0.0254920	+	0.144572i
$815$	13.0670	−	4.75599i	0.457717	−	0.166595i
$816$	24.0424			0.841651
$817$	14.4086	−	27.9731i	0.504092	−	0.978655i
$818$	6.07938			0.212561
$819$	−102.896	+	37.4512i	−3.59548	+	1.30865i
$820$	−0.0303712	+	0.172244i	−0.00106061	+	0.00601501i
$821$	−20.5350	+	17.2309i	−0.716675	+	0.601362i	−0.926463	−	0.376385i	$-0.877167\pi$
$821$	−20.5350	+	17.2309i	−0.716675	+	0.601362i	0.209788	+	0.977747i	$0.432723\pi$
$822$	−53.8368	−	45.1744i	−1.87777	−	1.57564i
$823$	1.91719	+	10.8729i	0.0668290	+	0.379006i	0.999818	+	0.0191001i	$0.00608012\pi$
$823$	1.91719	+	10.8729i	0.0668290	+	0.379006i	−0.932989	+	0.359906i	$0.882809\pi$
$824$	16.3419	+	28.3051i	0.569298	+	0.986054i
$825$	5.05437	−	8.75443i	0.175971	−	0.304790i
$826$	22.8232	+	8.30698i	0.794122	+	0.289037i
$827$	−11.1811	−	4.06958i	−0.388804	−	0.141513i	0.140219	−	0.990121i	$-0.455219\pi$
$827$	−11.1811	−	4.06958i	−0.388804	−	0.141513i	−0.529023	+	0.848607i	$0.677442\pi$
$828$	2.39437	−	4.14717i	0.0832101	−	0.144124i
$829$	−5.60968	−	9.71626i	−0.194832	−	0.337460i	0.752013	−	0.659148i	$-0.229083\pi$
$829$	−5.60968	−	9.71626i	−0.194832	−	0.337460i	−0.946846	+	0.321689i	$0.895750\pi$
$830$	−2.96214	−	16.7991i	−0.102817	−	0.583107i
$831$	46.3054	+	38.8548i	1.60632	+	1.34786i
$832$	33.0082	−	27.6972i	1.14435	−	0.960227i
$833$	−3.19035	+	18.0934i	−0.110539	+	0.626898i
$834$	37.4036	−	13.6138i	1.29518	−	0.471407i
$835$	17.6222			0.609842
$836$	−5.66651	+	2.37589i	−0.195980	+	0.0821718i
$837$	−28.8769			−0.998132
$838$	−14.6852	+	5.34496i	−0.507291	+	0.184639i
$839$	−6.22171	+	35.2851i	−0.214797	+	1.21818i	0.666460	+	0.745540i	$0.267809\pi$
$839$	−6.22171	+	35.2851i	−0.214797	+	1.21818i	−0.881258	+	0.472636i	$0.843303\pi$
$840$	−26.1391	+	21.9333i	−0.901886	+	0.756772i
$841$	−1.09068	−	0.915188i	−0.0376096	−	0.0315582i
$842$	6.02772	+	34.1849i	0.207729	+	1.17809i
$843$	−39.9960	−	69.2752i	−1.37754	−	2.38596i
$844$	3.65063	−	6.32308i	0.125660	−	0.217649i
$845$	−9.80875	−	3.57009i	−0.337431	−	0.122815i
$846$	−16.0759	−	5.85113i	−0.552699	−	0.201166i
$847$	−0.487666	+	0.844662i	−0.0167564	+	0.0290229i
$848$	0.388226	+	0.672427i	0.0133317	+	0.0230912i
$849$	−8.77653	−	49.7742i	−0.301210	−	1.70825i
$850$	−2.57597	−	2.16150i	−0.0883551	−	0.0741387i
$851$	1.42772	−	1.19800i	0.0489415	−	0.0410668i
$852$	−0.439751	+	2.49395i	−0.0150656	+	0.0854415i
$853$	−12.2754	+	4.46788i	−0.420302	+	0.152977i	−0.543509	−	0.839404i	$-0.682904\pi$
$853$	−12.2754	+	4.46788i	−0.420302	+	0.152977i	0.123207	+	0.992381i	$0.460682\pi$
$854$	3.59926			0.123164
$855$	19.4416	−	17.9701i	0.664887	−	0.614565i
$856$	−4.19366			−0.143337
$857$	22.7314	−	8.27355i	0.776489	−	0.282619i	0.0767813	−	0.997048i	$-0.475536\pi$
$857$	22.7314	−	8.27355i	0.776489	−	0.282619i	0.699708	+	0.714429i	$0.253313\pi$
$858$	−10.6820	+	60.5806i	−0.364677	+	2.06819i
$859$	41.4832	−	34.8086i	1.41539	−	1.18765i	0.461633	−	0.887071i	$-0.347264\pi$
$859$	41.4832	−	34.8086i	1.41539	−	1.18765i	0.953756	−	0.300581i	$-0.0971807\pi$
$860$	2.32282	+	1.94908i	0.0792077	+	0.0664631i
$861$	0.811063	+	4.59977i	0.0276409	+	0.156760i
$862$	−4.45696	−	7.71969i	−0.151805	−	0.262934i
$863$	−24.8426	+	43.0287i	−0.845653	+	1.46471i	0.0394004	+	0.999224i	$0.487455\pi$
$863$	−24.8426	+	43.0287i	−0.845653	+	1.46471i	−0.885053	+	0.465490i	$0.845878\pi$
$864$	−20.3040	−	7.39006i	−0.690757	−	0.251415i
$865$	12.5150	+	4.55510i	0.425523	+	0.154878i
$866$	4.13783	−	7.16693i	0.140609	−	0.243542i
$867$	14.8248	+	25.6773i	0.503477	+	0.872048i
$868$	0.847174	+	4.80456i	0.0287549	+	0.163077i
$869$	30.9828	+	25.9977i	1.05102	+	0.881911i
$870$	−15.2312	+	12.7805i	−0.516387	+	0.433300i
$871$	9.06045	−	51.3843i	0.307001	−	1.74109i
$872$	27.1518	−	9.88246i	0.919478	−	0.334662i
$873$	−43.9062			−1.48600
$874$	−9.82147	−	3.05009i	−0.332216	−	0.103171i
$875$	3.72392			0.125891
$876$	5.42489	−	1.97450i	0.183290	−	0.0667122i
$877$	−1.43631	+	8.14572i	−0.0485007	+	0.275061i	−0.999408	−	0.0344159i	$-0.989043\pi$
$877$	−1.43631	+	8.14572i	−0.0485007	+	0.275061i	0.950907	+	0.309477i	$0.100154\pi$
$878$	4.26391	−	3.57784i	0.143900	−	0.120746i
$879$	30.8718	+	25.9045i	1.04128	+	0.873738i
$880$	1.73859	+	9.86003i	0.0586078	+	0.332381i
$881$	12.2596	+	21.2343i	0.413037	+	0.715402i	0.995220	−	0.0976562i	$-0.0311346\pi$
$881$	12.2596	+	21.2343i	0.413037	+	0.715402i	−0.582183	+	0.813058i	$0.697801\pi$
$882$	−26.2147	+	45.4053i	−0.882696	+	1.52887i
$883$	−46.2172	−	16.8217i	−1.55533	−	0.566095i	−0.585671	−	0.810549i	$-0.699169\pi$
$883$	−46.2172	−	16.8217i	−1.55533	−	0.566095i	−0.969661	+	0.244454i	$0.921391\pi$
$884$	−5.11226	−	1.86071i	−0.171944	−	0.0625825i
$885$	7.81503	−	13.5360i	0.262699	−	0.455009i
$886$	1.74223	+	3.01764i	0.0585315	+	0.101380i
$887$	3.75889	+	21.3177i	0.126211	+	0.715779i	0.980581	+	0.196114i	$0.0628322\pi$
$887$	3.75889	+	21.3177i	0.126211	+	0.715779i	−0.854370	+	0.519665i	$0.826057\pi$
$888$	−6.96961	−	5.84820i	−0.233885	−	0.196253i
$889$	56.6539	−	47.5382i	1.90011	−	1.59438i
$890$	−1.67399	+	9.49369i	−0.0561124	+	0.318229i
$891$	30.4893	−	11.0972i	1.02143	−	0.371770i
$892$	3.66564			0.122735
$893$	1.23307	−	9.68955i	0.0412632	−	0.324249i
$894$	57.3278			1.91733
$895$	−13.7444	+	5.00254i	−0.459423	+	0.167216i
$896$	4.21612	−	23.9108i	0.140851	−	0.798803i
$897$	20.9691	−	17.5951i	0.700137	−	0.587484i
$898$	25.3788	+	21.2953i	0.846900	+	0.710634i
$899$	2.84407	+	16.1295i	0.0948550	+	0.537950i
$900$	1.27562	+	2.20943i	0.0425206	+	0.0736478i
$901$	0.348120	−	0.602962i	0.0115976	−	0.0200876i
$902$	1.65047	+	0.600720i	0.0549545	+	0.0200018i
$903$	76.0922	+	27.6953i	2.53219	+	0.921642i
$904$	−25.9226	+	44.8993i	−0.862173	+	1.49333i
$905$	4.39238	+	7.60782i	0.146008	+	0.252893i
$906$	7.45793	+	42.2960i	0.247773	+	1.40519i
$907$	10.3365	+	8.67336i	0.343218	+	0.287994i	0.798060	−	0.602578i	$-0.205860\pi$
$907$	10.3365	+	8.67336i	0.343218	+	0.287994i	−0.454842	+	0.890572i	$0.650304\pi$
$908$	6.47264	−	5.43119i	0.214802	−	0.180240i
$909$	4.73745	−	26.8674i	0.157131	−	0.891137i
$910$	−21.2946	+	7.75062i	−0.705911	+	0.256930i
$911$	16.2069			0.536958			0.268479	−	0.963286i	$-0.413479\pi$
$911$	16.2069			0.536958			0.268479	+	0.963286i	$0.413479\pi$
$912$	−4.94522	+	38.8598i	−0.163752	+	1.28678i
$913$	45.5428			1.50725
$914$	−39.6614	+	14.4356i	−1.31188	+	0.477486i
$915$	0.402210	−	2.28105i	0.0132967	−	0.0754091i
$916$	6.70614	−	5.62712i	0.221577	−	0.185925i
$917$	15.4706	+	12.9814i	0.510884	+	0.428683i
$918$	−5.40636	−	30.6610i	−0.178437	−	1.01196i
$919$	−9.86867	−	17.0930i	−0.325537	−	0.563847i	0.656084	−	0.754688i	$-0.272212\pi$
$919$	−9.86867	−	17.0930i	−0.325537	−	0.563847i	−0.981621	+	0.190841i	$0.938879\pi$
$920$	2.85487	−	4.94479i	0.0941224	−	0.163025i
$921$	−79.1782	−	28.8185i	−2.60901	−	0.949602i
$922$	−35.9691	−	13.0917i	−1.18458	−	0.431152i
$923$	−4.84483	+	8.39150i	−0.159470	+	0.276210i
$924$	−7.90618	−	13.6939i	−0.260094	−	0.450497i
$925$	0.172420	+	0.977842i	0.00566913	+	0.0321512i
$926$	−27.5157	−	23.0884i	−0.904223	−	0.758733i
$927$	49.9911	−	41.9475i	1.64192	−	1.37774i
$928$	−2.12807	+	12.0689i	−0.0698573	+	0.396181i
$929$	−6.09658	+	2.21897i	−0.200022	+	0.0728022i	−0.440089	−	0.897954i	$-0.645053\pi$
$929$	−6.09658	+	2.21897i	−0.200022	+	0.0728022i	0.240066	+	0.970756i	$0.422831\pi$
$930$	−11.8091			−0.387235
$931$	−28.5882	−	8.87816i	−0.936940	−	0.290970i
$932$	−0.228528			−0.00748568
$933$	−70.2978	+	25.5863i	−2.30145	+	0.837658i
$934$	−2.44838	+	13.8855i	−0.0801135	+	0.454346i
$935$	6.87742	−	5.77084i	0.224916	−	0.188727i
$936$	−68.5194	−	57.4946i	−2.23963	−	1.87927i
$937$	−1.28522	−	7.28885i	−0.0419863	−	0.238116i	0.956591	−	0.291433i	$-0.0941319\pi$
$937$	−1.28522	−	7.28885i	−0.0419863	−	0.238116i	−0.998578	+	0.0533164i	$0.983021\pi$
$938$	−25.2237	−	43.6887i	−0.823583	−	1.42649i
$939$	33.5454	−	58.1024i	1.09471	−	1.89610i
$940$	0.884506	+	0.321934i	0.0288494	+	0.0105003i
$941$	−49.8981	−	18.1614i	−1.62663	−	0.592046i	−0.642002	−	0.766703i	$-0.721896\pi$
$941$	−49.8981	−	18.1614i	−1.62663	−	0.592046i	−0.984629	+	0.174657i	$0.944118\pi$
$942$	7.98013	−	13.8220i	0.260007	−	0.450345i
$943$	−0.390781	−	0.676853i	−0.0127256	−	0.0220414i
$944$	2.68819	+	15.2455i	0.0874932	+	0.496198i
$945$	26.4120	+	22.1623i	0.859184	+	0.720941i
$946$	23.3262	−	19.5730i	0.758402	−	0.636375i
$947$	2.65283	−	15.0450i	0.0862055	−	0.488896i	−0.910884	−	0.412661i	$-0.864599\pi$
$947$	2.65283	−	15.0450i	0.0862055	−	0.488896i	0.997090	−	0.0762341i	$-0.0242896\pi$
$948$	−14.3297	+	5.21559i	−0.465408	+	0.169395i
$949$	22.0891			0.717041
$950$	4.02348	−	3.71896i	0.130539	−	0.120659i
$951$	−42.3994			−1.37490
$952$	−28.4772	+	10.3649i	−0.922951	+	0.335927i
$953$	−2.93675	+	16.6552i	−0.0951308	+	0.539514i	0.899576	+	0.436763i	$0.143875\pi$
$953$	−2.93675	+	16.6552i	−0.0951308	+	0.539514i	−0.994707	+	0.102750i	$0.967236\pi$
$954$	1.52202	−	1.27713i	0.0492772	−	0.0413485i
$955$	−7.43628	−	6.23978i	−0.240632	−	0.201914i
$956$	1.62099	+	9.19312i	0.0524267	+	0.297327i
$957$	−26.5421	−	45.9722i	−0.857983	−	1.48607i
$958$	10.9296	−	18.9307i	0.353120	−	0.611622i
$959$	64.9528	+	23.6409i	2.09744	+	0.763404i
$960$	−25.1932	−	9.16956i	−0.813106	−	0.295946i
$961$	10.6362	−	18.4224i	0.343103	−	0.594272i
$962$	−3.02115	−	5.23278i	−0.0974057	−	0.168712i
$963$	1.45401	+	8.24613i	0.0468550	+	0.265728i
$964$	−6.99333	−	5.86810i	−0.225240	−	0.188999i
$965$	−15.5160	+	13.0194i	−0.499476	+	0.419110i
$966$	4.59573	−	26.0637i	0.147865	−	0.838585i
$967$	−13.6496	+	4.96803i	−0.438940	+	0.159761i	−0.552031	−	0.833823i	$-0.686147\pi$
$967$	−13.6496	+	4.96803i	−0.438940	+	0.159761i	0.113091	+	0.993585i	$0.463925\pi$
$968$	−0.796706			−0.0256071
$969$	32.3941	−	13.5824i	1.04065	−	0.436330i
$970$	−9.08650			−0.291750
$971$	−28.7590	+	10.4674i	−0.922920	+	0.335915i	−0.759400	−	0.650625i	$-0.774507\pi$
$971$	−28.7590	+	10.4674i	−0.922920	+	0.335915i	−0.163520	+	0.986540i	$0.552285\pi$
$972$	−0.0983038	+	0.557509i	−0.00315310	+	0.0178821i
$973$	−29.9894	+	25.1641i	−0.961417	+	0.806724i
$974$	14.7777	+	12.4000i	0.473508	+	0.397321i
$975$	2.53235	+	14.3617i	0.0811002	+	0.459942i
$976$	1.14705	+	1.98675i	0.0367161	+	0.0635942i
$977$	22.0007	−	38.1064i	0.703865	−	1.21913i	−0.263234	−	0.964732i	$-0.584789\pi$
$977$	22.0007	−	38.1064i	0.703865	−	1.21913i	0.967099	−	0.254399i	$-0.0818775\pi$
$978$	49.4753	+	18.0075i	1.58205	+	0.575818i
$979$	−24.1854	−	8.80277i	−0.772970	−	0.281338i
$980$	1.44236	−	2.49823i	0.0460743	−	0.0798031i
$981$	−28.8462	−	49.9631i	−0.920988	−	1.59520i
$982$	1.82342	+	10.3411i	0.0581878	+	0.329999i
$983$	27.0888	+	22.7302i	0.864000	+	0.724982i	0.962826	−	0.270123i	$-0.0870642\pi$
$983$	27.0888	+	22.7302i	0.864000	+	0.724982i	−0.0988259	+	0.995105i	$0.531509\pi$
$984$	−2.92270	+	2.45244i	−0.0931722	+	0.0781808i
$985$	−1.60830	+	9.12111i	−0.0512446	+	0.290623i
$986$	−16.5936	+	6.03957i	−0.528448	+	0.192339i
$987$	25.1366			0.800108
$988$	4.05900	−	7.88025i	0.129134	−	0.250704i
$989$	−13.5498			−0.430860
$990$	24.0749	−	8.76255i	0.765151	−	0.278492i
$991$	5.58302	−	31.6629i	0.177350	−	1.00580i	−0.758045	−	0.652202i	$-0.773845\pi$
$991$	5.58302	−	31.6629i	0.177350	−	1.00580i	0.935396	−	0.353602i	$-0.115043\pi$
$992$	−5.57577	+	4.67863i	−0.177031	+	0.148547i
$993$	−12.1964	−	10.2340i	−0.387040	−	0.324765i
$994$	1.62682	+	9.22613i	0.0515995	+	0.292635i
$995$	−9.07603	−	15.7201i	−0.287729	−	0.498362i
$996$	−8.58568	+	14.8708i	−0.272048	+	0.471200i
$997$	7.81213	+	2.84338i	0.247413	+	0.0900509i	0.462750	−	0.886489i	$-0.346863\pi$
$997$	7.81213	+	2.84338i	0.247413	+	0.0900509i	−0.215337	+	0.976540i	$0.569085\pi$
$998$	−0.319896	−	0.116433i	−0.0101261	−	0.00368561i
$999$	−4.59658	+	7.96151i	−0.145429	+	0.251891i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.k.a.81.2	yes	18
3.2	odd	2		855.2.bs.c.271.2		18
5.2	odd	4		475.2.u.b.24.2		36
5.3	odd	4		475.2.u.b.24.5		36
5.4	even	2		475.2.l.c.176.2		18
19.2	odd	18		1805.2.a.s.1.4		9
19.4	even	9	inner	95.2.k.a.61.2	✓	18
19.17	even	9		1805.2.a.v.1.6		9
57.23	odd	18		855.2.bs.c.631.2		18
95.4	even	18		475.2.l.c.251.2		18
95.23	odd	36		475.2.u.b.99.2		36
95.42	odd	36		475.2.u.b.99.5		36
95.59	odd	18		9025.2.a.cf.1.6		9
95.74	even	18		9025.2.a.cc.1.4		9

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.a.61.2	✓	18	19.4	even	9	inner
95.2.k.a.81.2	yes	18	1.1	even	1	trivial
475.2.l.c.176.2		18	5.4	even	2
475.2.l.c.251.2		18	95.4	even	18
475.2.u.b.24.2		36	5.2	odd	4
475.2.u.b.24.5		36	5.3	odd	4
475.2.u.b.99.2		36	95.23	odd	36
475.2.u.b.99.5		36	95.42	odd	36
855.2.bs.c.271.2		18	3.2	odd	2
855.2.bs.c.631.2		18	57.23	odd	18
1805.2.a.s.1.4		9	19.2	odd	18
1805.2.a.v.1.6		9	19.17	even	9
9025.2.a.cc.1.4		9	95.74	even	18
9025.2.a.cf.1.6		9	95.59	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.18116 + 0.429906i) q^{2} +(0.523072 - 2.96649i) q^{3} +(-0.321776 + 0.270002i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.657481 + 3.72876i) q^{6} +(-1.86196 - 3.22501i) q^{7} +(1.52095 - 2.63437i) q^{8} +(-5.70738 - 2.07732i) q^{9} +O(q^{10})\)	\(q+(-1.18116 + 0.429906i) q^{2} +(0.523072 - 2.96649i) q^{3} +(-0.321776 + 0.270002i) q^{4} +(0.766044 + 0.642788i) q^{5} +(0.657481 + 3.72876i) q^{6} +(-1.86196 - 3.22501i) q^{7} +(1.52095 - 2.63437i) q^{8} +(-5.70738 - 2.07732i) q^{9} +(-1.18116 - 0.429906i) q^{10} +(1.67794 - 2.90627i) q^{11} +(0.632646 + 1.09578i) q^{12} +(0.840684 + 4.76776i) q^{13} +(3.58572 + 3.00877i) q^{14} +(2.30752 - 1.93624i) q^{15} +(-0.518073 + 2.93814i) q^{16} +(2.51392 - 0.914991i) q^{17} +7.63436 q^{18} +(0.961823 + 4.25146i) q^{19} -0.420048 q^{20} +(-10.5409 + 3.83657i) q^{21} +(-0.732484 + 4.15412i) q^{22} +(1.43789 - 1.20653i) q^{23} +(-7.01926 - 5.88986i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-3.04267 - 5.27006i) q^{26} +(-4.62933 + 8.01823i) q^{27} +(1.46989 + 0.534997i) q^{28} +(4.93461 + 1.79605i) q^{29} +(-1.89314 + 3.27902i) q^{30} +(1.55945 + 2.70105i) q^{31} +(0.405246 + 2.29826i) q^{32} +(-7.74375 - 6.49778i) q^{33} +(-2.57597 + 2.16150i) q^{34} +(0.646652 - 3.66734i) q^{35} +(2.39738 - 0.872573i) q^{36} +0.992927 q^{37} +(-2.96379 - 4.60815i) q^{38} +14.5832 q^{39} +(2.85846 - 1.04039i) q^{40} +(0.0723041 - 0.410057i) q^{41} +(10.8011 - 9.06319i) q^{42} +(-5.52990 - 4.64013i) q^{43} +(0.244780 + 1.38822i) q^{44} +(-3.03683 - 5.25995i) q^{45} +(-1.17968 + 2.04326i) q^{46} +(-2.10572 - 0.766421i) q^{47} +(8.44496 + 3.07372i) q^{48} +(-3.43378 + 5.94749i) q^{49} +(-0.628481 - 1.08856i) q^{50} +(-1.39935 - 7.93612i) q^{51} +(-1.55782 - 1.30716i) q^{52} +(0.199365 - 0.167287i) q^{53} +(2.02088 - 11.4610i) q^{54} +(3.15349 - 1.14778i) q^{55} -11.3278 q^{56} +(13.1150 - 0.629417i) q^{57} -6.60069 q^{58} +(4.87590 - 1.77468i) q^{59} +(-0.219716 + 1.24607i) q^{60} +(0.589041 - 0.494264i) q^{61} +(-3.00316 - 2.51995i) q^{62} +(3.92754 + 22.2742i) q^{63} +(-4.45016 - 7.70790i) q^{64} +(-2.42065 + 4.19270i) q^{65} +(11.9400 + 4.34581i) q^{66} +(-10.1275 - 3.68611i) q^{67} +(-0.561868 + 0.973185i) q^{68} +(-2.82704 - 4.89658i) q^{69} +(0.812816 + 4.60971i) q^{70} +(1.53320 + 1.28651i) q^{71} +(-14.1531 + 11.8758i) q^{72} +(0.792291 - 4.49331i) q^{73} +(-1.17280 + 0.426865i) q^{74} +3.01225 q^{75} +(-1.45739 - 1.10832i) q^{76} -12.4970 q^{77} +(-17.2251 + 6.26942i) q^{78} +(-2.09282 + 11.8690i) q^{79} +(-2.28546 + 1.91773i) q^{80} +(7.40643 + 6.21473i) q^{81} +(0.0908835 + 0.515426i) q^{82} +(6.78553 + 11.7529i) q^{83} +(2.35592 - 4.08058i) q^{84} +(2.51392 + 0.914991i) q^{85} +(8.52650 + 3.10339i) q^{86} +(7.90913 - 13.6990i) q^{87} +(-5.10413 - 8.84062i) q^{88} +(-1.33178 - 7.55289i) q^{89} +(5.84826 + 4.90727i) q^{90} +(13.8107 - 11.5886i) q^{91} +(-0.136912 + 0.776465i) q^{92} +(8.82836 - 3.21326i) q^{93} +2.81668 q^{94} +(-1.99599 + 3.87505i) q^{95} +7.02975 q^{96} +(6.79298 - 2.47244i) q^{97} +(1.49898 - 8.50112i) q^{98} +(-15.6139 + 13.1016i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

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