LMFDB - Embedded newform 297.2.j.c.265.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [297,2,Mod(34,297)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(297, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([16, 0]))

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

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

chi := DirichletCharacter("297.34");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 297 = 3^{3} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	297.j (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:	$2.37155694003$
Analytic rank:	$0$
Dimension:	$102$
Relative dimension:	$17$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			265.16
Character	$\chi$	$=$	297.265
Dual form			297.2.j.c.232.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.89627 - 1.59116i) q^{2} +(0.904714 + 1.47699i) q^{3} +(0.716758 - 4.06494i) q^{4} +(0.590212 - 0.214820i) q^{5} +(4.06571 + 1.36122i) q^{6} +(0.209925 + 1.19055i) q^{7} +(-2.63339 - 4.56117i) q^{8} +(-1.36298 + 2.67250i) q^{9} +O(q^{10})$	\(q+(1.89627 - 1.59116i) q^{2} +(0.904714 + 1.47699i) q^{3} +(0.716758 - 4.06494i) q^{4} +(0.590212 - 0.214820i) q^{5} +(4.06571 + 1.36122i) q^{6} +(0.209925 + 1.19055i) q^{7} +(-2.63339 - 4.56117i) q^{8} +(-1.36298 + 2.67250i) q^{9} +(0.777390 - 1.34648i) q^{10} +(-0.939693 - 0.342020i) q^{11} +(6.65232 - 2.61896i) q^{12} +(-3.38669 - 2.84177i) q^{13} +(2.29243 + 1.92357i) q^{14} +(0.851259 + 0.677385i) q^{15} +(-4.49376 - 1.63560i) q^{16} +(-1.73776 + 3.00988i) q^{17} +(1.66780 + 7.23652i) q^{18} +(-0.152370 - 0.263913i) q^{19} +(-0.450189 - 2.55315i) q^{20} +(-1.56850 + 1.38716i) q^{21} +(-2.32612 + 0.846639i) q^{22} +(1.00672 - 5.70938i) q^{23} +(4.35432 - 8.01605i) q^{24} +(-3.52802 + 2.96036i) q^{25} -10.9438 q^{26} +(-5.18037 + 0.404743i) q^{27} +4.98996 q^{28} +(2.01782 - 1.69315i) q^{29} +(2.69205 - 0.0699838i) q^{30} +(-0.0114610 + 0.0649987i) q^{31} +(-1.22557 + 0.446071i) q^{32} +(-0.344994 - 1.69734i) q^{33} +(1.49395 + 8.47261i) q^{34} +(0.379653 + 0.657578i) q^{35} +(9.88663 + 7.45598i) q^{36} +(-0.643429 + 1.11445i) q^{37} +(-0.708863 - 0.258005i) q^{38} +(1.13327 - 7.57309i) q^{39} +(-2.53409 - 2.12635i) q^{40} +(7.39725 + 6.20703i) q^{41} +(-0.767103 + 5.12617i) q^{42} +(-9.55264 - 3.47688i) q^{43} +(-2.06382 + 3.57465i) q^{44} +(-0.230343 + 1.87014i) q^{45} +(-7.17553 - 12.4284i) q^{46} +(1.78215 + 10.1071i) q^{47} +(-1.64982 - 8.11698i) q^{48} +(5.20452 - 1.89429i) q^{49} +(-1.97968 + 11.2273i) q^{50} +(-6.01773 + 0.156440i) q^{51} +(-13.9791 + 11.7298i) q^{52} +5.79582 q^{53} +(-9.17937 + 9.01030i) q^{54} -0.628090 q^{55} +(4.87747 - 4.09268i) q^{56} +(0.251944 - 0.463814i) q^{57} +(1.13226 - 6.42134i) q^{58} +(-7.32837 + 2.66731i) q^{59} +(3.36367 - 2.97479i) q^{60} +(-0.120523 - 0.683521i) q^{61} +(0.0816903 + 0.141492i) q^{62} +(-3.46786 - 1.06167i) q^{63} +(3.16792 - 5.48700i) q^{64} +(-2.60933 - 0.949720i) q^{65} +(-3.35495 - 2.66969i) q^{66} +(4.42038 + 3.70914i) q^{67} +(10.9894 + 9.22122i) q^{68} +(9.34347 - 3.67845i) q^{69} +(1.76624 + 0.642858i) q^{70} +(3.02516 - 5.23974i) q^{71} +(15.7790 - 0.820953i) q^{72} +(-8.11513 - 14.0558i) q^{73} +(0.553156 + 3.13710i) q^{74} +(-7.56426 - 2.53256i) q^{75} +(-1.18200 + 0.430213i) q^{76} +(0.209925 - 1.19055i) q^{77} +(-9.90102 - 16.1639i) q^{78} +(-3.15885 + 2.65059i) q^{79} -3.00363 q^{80} +(-5.28455 - 7.28516i) q^{81} +23.9036 q^{82} +(6.42343 - 5.38990i) q^{83} +(4.51449 + 7.37011i) q^{84} +(-0.379063 + 2.14977i) q^{85} +(-23.6467 + 8.60669i) q^{86} +(4.32631 + 1.44847i) q^{87} +(0.914568 + 5.18677i) q^{88} +(7.33746 + 12.7089i) q^{89} +(2.53890 + 3.91281i) q^{90} +(2.67231 - 4.62857i) q^{91} +(-22.4867 - 8.18448i) q^{92} +(-0.106371 + 0.0418775i) q^{93} +(19.4615 + 16.3301i) q^{94} +(-0.146624 - 0.123032i) q^{95} +(-1.76763 - 1.40658i) q^{96} +(-0.516040 - 0.187823i) q^{97} +(6.85506 - 11.8733i) q^{98} +(2.19484 - 2.04516i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 102 q - 6 q^{5} - 21 q^{6}+O(q^{10}) $ 102 * q - 6 * q^5 - 21 * q^6	$ 102 q - 6 q^{5} - 21 q^{6} - 18 q^{10} - 9 q^{12} - 21 q^{14} - 27 q^{15} - 33 q^{18} - 30 q^{19} + 27 q^{20} + 18 q^{21} - 12 q^{23} + 105 q^{24} - 6 q^{25} + 18 q^{26} - 39 q^{27} + 72 q^{28} - 18 q^{29} + 36 q^{30} - 12 q^{31} + 96 q^{32} - 3 q^{33} - 24 q^{34} + 9 q^{35} + 39 q^{36} - 48 q^{37} - 15 q^{38} + 90 q^{40} - 54 q^{42} + 30 q^{43} - 60 q^{44} - 75 q^{45} - 42 q^{46} - 30 q^{47} - 39 q^{48} - 36 q^{49} + 66 q^{50} + 30 q^{51} - 84 q^{52} + 36 q^{53} - 36 q^{54} + 12 q^{55} - 48 q^{56} - 15 q^{57} - 75 q^{58} - 42 q^{59} - 84 q^{60} - 42 q^{61} + 105 q^{63} - 114 q^{64} - 57 q^{65} + 54 q^{67} - 6 q^{68} + 204 q^{70} - 30 q^{71} - 90 q^{72} - 69 q^{73} - 117 q^{74} - 72 q^{75} - 60 q^{76} + 189 q^{78} - 18 q^{79} + 84 q^{80} - 60 q^{81} + 84 q^{82} - 6 q^{83} - 72 q^{84} - 39 q^{85} - 132 q^{86} - 69 q^{87} - 9 q^{88} - 15 q^{89} + 138 q^{90} - 69 q^{91} + 102 q^{92} + 108 q^{93} + 123 q^{94} + 66 q^{95} - 117 q^{96} + 66 q^{97} + 57 q^{98}+O(q^{100}) $ 102 * q - 6 * q^5 - 21 * q^6 - 18 * q^10 - 9 * q^12 - 21 * q^14 - 27 * q^15 - 33 * q^18 - 30 * q^19 + 27 * q^20 + 18 * q^21 - 12 * q^23 + 105 * q^24 - 6 * q^25 + 18 * q^26 - 39 * q^27 + 72 * q^28 - 18 * q^29 + 36 * q^30 - 12 * q^31 + 96 * q^32 - 3 * q^33 - 24 * q^34 + 9 * q^35 + 39 * q^36 - 48 * q^37 - 15 * q^38 + 90 * q^40 - 54 * q^42 + 30 * q^43 - 60 * q^44 - 75 * q^45 - 42 * q^46 - 30 * q^47 - 39 * q^48 - 36 * q^49 + 66 * q^50 + 30 * q^51 - 84 * q^52 + 36 * q^53 - 36 * q^54 + 12 * q^55 - 48 * q^56 - 15 * q^57 - 75 * q^58 - 42 * q^59 - 84 * q^60 - 42 * q^61 + 105 * q^63 - 114 * q^64 - 57 * q^65 + 54 * q^67 - 6 * q^68 + 204 * q^70 - 30 * q^71 - 90 * q^72 - 69 * q^73 - 117 * q^74 - 72 * q^75 - 60 * q^76 + 189 * q^78 - 18 * q^79 + 84 * q^80 - 60 * q^81 + 84 * q^82 - 6 * q^83 - 72 * q^84 - 39 * q^85 - 132 * q^86 - 69 * q^87 - 9 * q^88 - 15 * q^89 + 138 * q^90 - 69 * q^91 + 102 * q^92 + 108 * q^93 + 123 * q^94 + 66 * q^95 - 117 * q^96 + 66 * q^97 + 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/297\mathbb{Z}\right)^\times$.

$n$	$56$	$244$
$\chi(n)$	$e\left(\frac{7}{9}\right)$	$1$

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 $

$2$	1.89627	−	1.59116i	1.34087	−	1.12512i	0.359465	−	0.933159i	$-0.382959\pi$
$2$	1.89627	−	1.59116i	1.34087	−	1.12512i	0.981402	−	0.191963i	$-0.0614852\pi$
$3$	0.904714	+	1.47699i	0.522337	+	0.852739i
$3$	0.904714	+	1.47699i	0.522337	+	0.852739i
$4$	0.716758	−	4.06494i	0.358379	−	2.03247i
$5$	0.590212	−	0.214820i	0.263951	−	0.0960702i	−0.206655	−	0.978414i	$-0.566258\pi$
$5$	0.590212	−	0.214820i	0.263951	−	0.0960702i	0.470606	+	0.882344i	$0.344035\pi$
$6$	4.06571	+	1.36122i	1.65982	+	0.555717i
$7$	0.209925	+	1.19055i	0.0793443	+	0.449984i	0.998434	+	0.0559364i	$0.0178144\pi$
$7$	0.209925	+	1.19055i	0.0793443	+	0.449984i	−0.919090	+	0.394048i	$0.871074\pi$
$8$	−2.63339	−	4.56117i	−0.931046	−	1.61262i
$9$	−1.36298	+	2.67250i	−0.454328	+	0.890835i
$10$	0.777390	−	1.34648i	0.245832	−	0.425794i
$11$	−0.939693	−	0.342020i	−0.283328	−	0.103123i
$11$	−0.939693	−	0.342020i	−0.283328	−	0.103123i
$12$	6.65232	−	2.61896i	1.92036	−	0.756030i
$13$	−3.38669	−	2.84177i	−0.939300	−	0.788166i	0.0381637	−	0.999271i	$-0.487849\pi$
$13$	−3.38669	−	2.84177i	−0.939300	−	0.788166i	−0.977463	+	0.211106i	$0.932294\pi$
$14$	2.29243	+	1.92357i	0.612677	+	0.514097i
$15$	0.851259	+	0.677385i	0.219794	+	0.174900i
$16$	−4.49376	−	1.63560i	−1.12344	−	0.408899i
$17$	−1.73776	+	3.00988i	−0.421468	+	0.730003i	−0.996083	−	0.0884200i	$-0.971818\pi$
$17$	−1.73776	+	3.00988i	−0.421468	+	0.730003i	0.574616	+	0.818423i	$0.305152\pi$
$18$	1.66780	+	7.23652i	0.393104	+	1.70566i
$19$	−0.152370	−	0.263913i	−0.0349561	−	0.0605457i	0.848018	−	0.529967i	$-0.177796\pi$
$19$	−0.152370	−	0.263913i	−0.0349561	−	0.0605457i	−0.882974	+	0.469422i	$0.844462\pi$
$20$	−0.450189	−	2.55315i	−0.100665	−	0.570901i
$21$	−1.56850	+	1.38716i	−0.342274	+	0.302703i
$22$	−2.32612	+	0.846639i	−0.495931	+	0.180504i
$23$	1.00672	−	5.70938i	0.209915	−	1.19049i	−0.679600	−	0.733582i	$-0.737847\pi$
$23$	1.00672	−	5.70938i	0.209915	−	1.19049i	0.889516	−	0.456905i	$-0.151042\pi$
$24$	4.35432	−	8.01605i	0.888823	−	1.63627i
$25$	−3.52802	+	2.96036i	−0.705604	+	0.592072i
$26$	−10.9438			−2.14626
$27$	−5.18037	+	0.404743i	−0.996962	+	0.0778929i
$28$	4.98996			0.943014
$29$	2.01782	−	1.69315i	0.374699	−	0.314410i	−0.435918	−	0.899986i	$-0.643576\pi$
$29$	2.01782	−	1.69315i	0.374699	−	0.314410i	0.810617	+	0.585577i	$0.199132\pi$
$30$	2.69205	−	0.0699838i	0.491499	−	0.0127772i
$31$	−0.0114610	+	0.0649987i	−0.00205846	+	0.0116741i	−0.985820	−	0.167808i	$-0.946331\pi$
$31$	−0.0114610	+	0.0649987i	−0.00205846	+	0.0116741i	0.983761	+	0.179482i	$0.0574422\pi$
$32$	−1.22557	+	0.446071i	−0.216652	+	0.0788549i
$33$	−0.344994	−	1.69734i	−0.0600558	−	0.295470i
$34$	1.49395	+	8.47261i	0.256210	+	1.45304i
$35$	0.379653	+	0.657578i	0.0641731	+	0.111151i
$36$	9.88663	+	7.45598i	1.64777	+	1.24266i
$37$	−0.643429	+	1.11445i	−0.105779	+	0.183215i	−0.914056	−	0.405588i	$-0.867067\pi$
$37$	−0.643429	+	1.11445i	−0.105779	+	0.183215i	0.808277	+	0.588802i	$0.200400\pi$
$38$	−0.708863	−	0.258005i	−0.114993	−	0.0418539i
$39$	1.13327	−	7.57309i	0.181469	−	1.21267i
$40$	−2.53409	−	2.12635i	−0.400675	−	0.336206i
$41$	7.39725	+	6.20703i	1.15526	+	0.969376i	0.999829	−	0.0184717i	$-0.00588006\pi$
$41$	7.39725	+	6.20703i	1.15526	+	0.969376i	0.155427	+	0.987847i	$0.450325\pi$
$42$	−0.767103	+	5.12617i	−0.118367	+	0.790985i
$43$	−9.55264	−	3.47688i	−1.45676	−	0.530219i	−0.512293	−	0.858811i	$-0.671204\pi$
$43$	−9.55264	−	3.47688i	−1.45676	−	0.530219i	−0.944472	+	0.328592i	$0.893426\pi$
$44$	−2.06382	+	3.57465i	−0.311133	+	0.538898i
$45$	−0.230343	+	1.87014i	−0.0343375	+	0.278784i
$46$	−7.17553	−	12.4284i	−1.05797	−	1.83247i
$47$	1.78215	+	10.1071i	0.259954	+	1.47427i	0.783030	+	0.621984i	$0.213673\pi$
$47$	1.78215	+	10.1071i	0.259954	+	1.47427i	−0.523076	+	0.852286i	$0.675216\pi$
$48$	−1.64982	−	8.11698i	−0.238131	−	1.17158i
$49$	5.20452	−	1.89429i	0.743503	−	0.270613i
$50$	−1.97968	+	11.2273i	−0.279968	+	1.58778i
$51$	−6.01773	+	0.156440i	−0.842651	+	0.0219060i
$52$	−13.9791	+	11.7298i	−1.93855	+	1.62663i
$53$	5.79582			0.796117			0.398058	−	0.917360i	$-0.369684\pi$
$53$	5.79582			0.796117			0.398058	+	0.917360i	$0.369684\pi$
$54$	−9.17937	+	9.01030i	−1.24915	+	1.22615i
$55$	−0.628090			−0.0846917
$56$	4.87747	−	4.09268i	0.651779	−	0.546908i
$57$	0.251944	−	0.463814i	0.0333708	−	0.0614337i
$58$	1.13226	−	6.42134i	0.148672	−	0.843163i
$59$	−7.32837	+	2.66731i	−0.954072	+	0.347254i	−0.771708	−	0.635977i	$-0.780597\pi$
$59$	−7.32837	+	2.66731i	−0.954072	+	0.347254i	−0.182364	+	0.983231i	$0.558375\pi$
$60$	3.36367	−	2.97479i	0.434249	−	0.384044i
$61$	−0.120523	−	0.683521i	−0.0154314	−	0.0875158i	0.976119	−	0.217235i	$-0.0697037\pi$
$61$	−0.120523	−	0.683521i	−0.0154314	−	0.0875158i	−0.991551	+	0.129719i	$0.958593\pi$
$62$	0.0816903	+	0.141492i	0.0103747	+	0.0179695i
$63$	−3.46786	−	1.06167i	−0.436910	−	0.133758i
$64$	3.16792	−	5.48700i	0.395990	−	0.685875i
$65$	−2.60933	−	0.949720i	−0.323648	−	0.117798i
$66$	−3.35495	−	2.66969i	−0.412966	−	0.328616i
$67$	4.42038	+	3.70914i	0.540036	+	0.453144i	0.871550	−	0.490306i	$-0.163115\pi$
$67$	4.42038	+	3.70914i	0.540036	+	0.453144i	−0.331514	+	0.943450i	$0.607560\pi$
$68$	10.9894	+	9.22122i	1.33266	+	1.11824i
$69$	9.34347	−	3.67845i	1.12482	−	0.442833i
$70$	1.76624	+	0.642858i	0.211106	+	0.0768363i
$71$	3.02516	−	5.23974i	0.359021	−	0.621843i	−0.628777	−	0.777586i	$-0.716444\pi$
$71$	3.02516	−	5.23974i	0.359021	−	0.621843i	0.987798	+	0.155743i	$0.0497773\pi$
$72$	15.7790	−	0.820953i	1.85958	−	0.0967502i
$73$	−8.11513	−	14.0558i	−0.949804	−	1.64511i	−0.745835	−	0.666131i	$-0.767949\pi$
$73$	−8.11513	−	14.0558i	−0.949804	−	1.64511i	−0.203969	−	0.978977i	$-0.565384\pi$
$74$	0.553156	+	3.13710i	0.0643030	+	0.364681i
$75$	−7.56426	−	2.53256i	−0.873446	−	0.292435i
$76$	−1.18200	+	0.430213i	−0.135585	+	0.0493488i
$77$	0.209925	−	1.19055i	0.0239232	−	0.135675i
$78$	−9.90102	−	16.1639i	−1.12107	−	1.83020i
$79$	−3.15885	+	2.65059i	−0.355398	+	0.298214i	−0.802953	−	0.596042i	$-0.796739\pi$
$79$	−3.15885	+	2.65059i	−0.355398	+	0.298214i	0.447555	+	0.894256i	$0.352295\pi$
$80$	−3.00363			−0.335816
$81$	−5.28455	−	7.28516i	−0.587172	−	0.809462i
$82$	23.9036			2.63971
$83$	6.42343	−	5.38990i	0.705063	−	0.591618i	−0.218146	−	0.975916i	$-0.570001\pi$
$83$	6.42343	−	5.38990i	0.705063	−	0.591618i	0.923209	+	0.384298i	$0.125557\pi$
$84$	4.51449	+	7.37011i	0.492571	+	0.804144i
$85$	−0.379063	+	2.14977i	−0.0411151	+	0.233176i
$86$	−23.6467	+	8.60669i	−2.54989	+	0.928083i
$87$	4.32631	+	1.44847i	0.463829	+	0.155293i
$88$	0.914568	+	5.18677i	0.0974933	+	0.552912i
$89$	7.33746	+	12.7089i	0.777769	+	1.34714i	0.933225	+	0.359293i	$0.116982\pi$
$89$	7.33746	+	12.7089i	0.777769	+	1.34714i	−0.155456	+	0.987843i	$0.549685\pi$
$90$	2.53890	+	3.91281i	0.267624	+	0.412446i
$91$	2.67231	−	4.62857i	0.280134	−	0.485206i
$92$	−22.4867	−	8.18448i	−2.34440	−	0.853291i
$93$	−0.106371	+	0.0418775i	−0.0110302	+	0.00434250i
$94$	19.4615	+	16.3301i	2.00730	+	1.68432i
$95$	−0.146624	−	0.123032i	−0.0150433	−	0.0126229i
$96$	−1.76763	−	1.40658i	−0.180408	−	0.143559i
$97$	−0.516040	−	0.187823i	−0.0523960	−	0.0190706i	0.315689	−	0.948863i	$-0.397764\pi$
$97$	−0.516040	−	0.187823i	−0.0523960	−	0.0190706i	−0.368085	+	0.929792i	$0.619987\pi$
$98$	6.85506	−	11.8733i	0.692466	−	1.19939i
$99$	2.19484	−	2.04516i	0.220589	−	0.205547i
$100$	9.50494	+	16.4630i	0.950494	+	1.64630i
$101$	0.770888	+	4.37192i	0.0767062	+	0.435023i	0.998840	+	0.0481516i	$0.0153331\pi$
$101$	0.770888	+	4.37192i	0.0767062	+	0.435023i	−0.922134	+	0.386871i	$0.873556\pi$
$102$	−11.1623	+	9.87183i	−1.10524	+	0.977457i
$103$	11.3500	−	4.13107i	1.11835	−	0.407046i	0.284301	−	0.958735i	$-0.408239\pi$
$103$	11.3500	−	4.13107i	1.11835	−	0.407046i	0.834050	+	0.551689i	$0.186016\pi$
$104$	−4.04332	+	22.9308i	−0.396480	+	2.24855i
$105$	−0.627757	+	1.15566i	−0.0612628	+	0.112781i
$106$	10.9905	−	9.22208i	1.06749	−	0.895728i
$107$	−7.03977			−0.680560			−0.340280	−	0.940324i	$-0.610522\pi$
$107$	−7.03977			−0.680560			−0.340280	+	0.940324i	$0.610522\pi$
$108$	−2.06781	+	21.3480i	−0.198975	+	2.05421i
$109$	7.29780			0.699003			0.349501	−	0.936936i	$-0.386351\pi$
$109$	7.29780			0.699003			0.349501	+	0.936936i	$0.386351\pi$
$110$	−1.19103	+	0.999393i	−0.113560	+	0.0952884i
$111$	−2.22815	+	0.0579240i	−0.211487	+	0.00549791i
$112$	1.00390	−	5.69338i	0.0948593	−	0.537974i
$113$	12.8005	−	4.65899i	1.20417	−	0.438281i	0.339490	−	0.940610i	$-0.389746\pi$
$113$	12.8005	−	4.65899i	1.20417	−	0.438281i	0.864676	+	0.502329i	$0.167523\pi$
$114$	−0.260248	−	1.28040i	−0.0243745	−	0.119921i
$115$	−0.632309	−	3.58601i	−0.0589632	−	0.334397i
$116$	−5.43625	−	9.41587i	−0.504744	−	0.874242i
$117$	12.2107	−	5.17766i	1.12888	−	0.478675i
$118$	−9.65247	+	16.7186i	−0.888581	+	1.53907i
$119$	−3.94820	−	1.43703i	−0.361931	−	0.131732i
$120$	0.847970	−	5.66656i	0.0774087	−	0.517284i
$121$	0.766044	+	0.642788i	0.0696404	+	0.0584352i
$122$	−1.31614	−	1.10437i	−0.119157	−	0.0999849i
$123$	−2.47531	+	16.5412i	−0.223191	+	1.49147i
$124$	0.256001	+	0.0931767i	0.0229896	+	0.00836752i
$125$	−3.01656	+	5.22484i	−0.269810	+	0.467324i
$126$	−8.26530	+	3.50472i	−0.736331	+	0.312225i
$127$	−6.65303	−	11.5234i	−0.590361	−	1.02254i	−0.994184	−	0.107698i	$-0.965652\pi$
$127$	−6.65303	−	11.5234i	−0.590361	−	1.02254i	0.403823	−	0.914837i	$-0.367681\pi$
$128$	−3.17641	−	18.0143i	−0.280758	−	1.59226i
$129$	−3.50711	−	17.2547i	−0.308784	−	1.51919i
$130$	−6.45917	+	2.35095i	−0.566507	+	0.206192i
$131$	−1.87902	+	10.6564i	−0.164171	+	0.931058i	0.785745	+	0.618551i	$0.212280\pi$
$131$	−1.87902	+	10.6564i	−0.164171	+	0.931058i	−0.949915	+	0.312507i	$0.898831\pi$
$132$	−7.14688	+	0.185794i	−0.622056	+	0.0161713i
$133$	0.282214	−	0.236806i	0.0244710	−	0.0205336i
$134$	14.2841			1.23396
$135$	−2.97057	+	1.35173i	−0.255666	+	0.116338i
$136$	18.3048			1.56962
$137$	6.04473	−	5.07213i	0.516436	−	0.433342i	−0.346951	−	0.937883i	$-0.612783\pi$
$137$	6.04473	−	5.07213i	0.516436	−	0.433342i	0.863387	+	0.504542i	$0.168339\pi$
$138$	11.8648	−	21.8423i	1.01000	−	1.85934i
$139$	3.58134	−	20.3108i	0.303765	−	1.72274i	−0.325494	−	0.945544i	$-0.605531\pi$
$139$	3.58134	−	20.3108i	0.303765	−	1.72274i	0.629260	−	0.777195i	$-0.283358\pi$
$140$	2.94513	−	1.07194i	0.248909	−	0.0905955i
$141$	−13.3157	+	11.7762i	−1.12138	+	0.991739i
$142$	−2.60073	−	14.7495i	−0.218249	−	1.23775i
$143$	2.21051	+	3.82871i	0.184852	+	0.320173i
$144$	10.4961	−	9.78031i	0.874672	−	0.815025i
$145$	0.827217	−	1.43278i	0.0686967	−	0.118986i
$146$	−37.7536	−	13.7412i	−3.12451	−	1.13723i
$147$	7.50644	+	5.97322i	0.619121	+	0.492663i
$148$	4.06899	+	3.41429i	0.334469	+	0.280653i
$149$	−17.8762	−	14.9999i	−1.46448	−	1.22884i	−0.921084	−	0.389364i	$-0.872695\pi$
$149$	−17.8762	−	14.9999i	−1.46448	−	1.22884i	−0.543393	−	0.839478i	$-0.682861\pi$
$150$	−18.3736	+	7.23354i	−1.50020	+	0.590616i
$151$	−16.3129	−	5.93741i	−1.32752	−	0.483180i	−0.421663	−	0.906753i	$-0.638553\pi$
$151$	−16.3129	−	5.93741i	−1.32752	−	0.483180i	−0.905862	+	0.423573i	$0.860776\pi$
$152$	−0.802501	+	1.38997i	−0.0650914	+	0.112742i
$153$	−5.67539	−	8.74658i	−0.458828	−	0.707119i
$154$	−1.49628	−	2.59162i	−0.120573	−	0.208839i
$155$	0.00719857	+	0.0408251i	0.000578203	+	0.00327915i
$156$	−29.9719	−	10.0348i	−2.39967	−	0.803424i
$157$	6.20954	−	2.26009i	0.495575	−	0.180375i	−0.0821276	−	0.996622i	$-0.526172\pi$
$157$	6.20954	−	2.26009i	0.495575	−	0.180375i	0.577703	+	0.816247i	$0.303949\pi$
$158$	−1.77252	+	10.0525i	−0.141014	+	0.799732i
$159$	5.24356	+	8.56035i	0.415841	+	0.678880i
$160$	−0.627521	+	0.526553i	−0.0496099	+	0.0416276i
$161$	7.00861			0.552356
$162$	−21.6128	−	5.40607i	−1.69806	−	0.424741i
$163$	−20.7531			−1.62551			−0.812754	−	0.582607i	$-0.802033\pi$
$163$	−20.7531			−1.62551			−0.812754	+	0.582607i	$0.802033\pi$
$164$	30.5332	−	25.6204i	2.38424	−	2.00062i
$165$	−0.568243	−	0.927682i	−0.0442376	−	0.0722199i
$166$	3.60437	−	20.4414i	0.279754	−	1.58656i
$167$	18.9988	−	6.91502i	1.47018	−	0.535100i	0.522027	−	0.852929i	$-0.325176\pi$
$167$	18.9988	−	6.91502i	1.47018	−	0.535100i	0.948148	+	0.317829i	$0.102954\pi$
$168$	10.4576	+	3.50125i	0.806818	+	0.270127i
$169$	1.13659	+	6.44592i	0.0874300	+	0.495840i
$170$	2.70183	+	4.67970i	0.207221	+	0.358917i
$171$	0.912986	−	0.0475009i	0.0698178	−	0.00363249i
$172$	−20.9802	+	36.3388i	−1.59973	+	2.77081i
$173$	8.18249	+	2.97818i	0.622103	+	0.226427i	0.633791	−	0.773505i	$-0.281498\pi$
$173$	8.18249	+	2.97818i	0.622103	+	0.226427i	−0.0116873	+	0.999932i	$0.503720\pi$
$174$	10.5086	−	4.13715i	0.796656	−	0.313637i
$175$	−4.26506	−	3.57881i	−0.322409	−	0.270533i
$176$	3.66335	+	3.07391i	0.276135	+	0.231705i
$177$	−10.5697	−	8.41076i	−0.794464	−	0.632191i
$178$	34.1357	+	12.4244i	2.55858	+	0.931245i
$179$	1.25045	−	2.16585i	0.0934634	−	0.161883i	−0.815503	−	0.578753i	$-0.803540\pi$
$179$	1.25045	−	2.16585i	0.0934634	−	0.161883i	0.908966	+	0.416870i	$0.136873\pi$
$180$	7.43690	+	2.27677i	0.554314	+	0.169700i
$181$	1.23379	+	2.13698i	0.0917067	+	0.158841i	0.908229	−	0.418473i	$-0.137434\pi$
$181$	1.23379	+	2.13698i	0.0917067	+	0.158841i	−0.816523	+	0.577313i	$0.804101\pi$
$182$	−2.29738	−	13.0291i	−0.170293	−	0.965782i
$183$	0.900512	−	0.796402i	0.0665678	−	0.0588717i
$184$	−28.6925	+	10.4432i	−2.11524	+	0.769885i
$185$	−0.140353	+	0.795983i	−0.0103190	+	0.0585219i
$186$	−0.135075	+	0.248665i	−0.00990419	+	0.0182330i
$187$	2.66240	−	2.23402i	0.194694	−	0.163367i
$188$	42.3620			3.08957
$189$	−1.56936	−	6.08250i	−0.114154	−	0.442436i
$190$	−0.473804			−0.0343734
$191$	−17.1565	+	14.3960i	−1.24140	+	1.04166i	−0.243988	+	0.969778i	$0.578456\pi$
$191$	−17.1565	+	14.3960i	−1.24140	+	1.04166i	−0.997413	+	0.0718814i	$0.977100\pi$
$192$	10.9703	−	0.285189i	0.791712	−	0.0205817i
$193$	−4.12055	+	23.3688i	−0.296604	+	1.68212i	0.364008	+	0.931396i	$0.381408\pi$
$193$	−4.12055	+	23.3688i	−0.296604	+	1.68212i	−0.660612	+	0.750728i	$0.729703\pi$
$194$	−1.27741	+	0.464939i	−0.0917127	+	0.0333807i
$195$	−0.957978	−	4.71318i	−0.0686022	−	0.337518i
$196$	−3.96979	−	22.5138i	−0.283556	−	1.60813i
$197$	3.71619	+	6.43664i	0.264768	+	0.458591i	0.967503	−	0.252860i	$-0.0813713\pi$
$197$	3.71619	+	6.43664i	0.264768	+	0.458591i	−0.702735	+	0.711452i	$0.748038\pi$
$198$	0.907820	−	7.37053i	0.0645159	−	0.523801i
$199$	−13.1094	+	22.7061i	−0.929298	+	1.60959i	−0.144798	+	0.989461i	$0.546253\pi$
$199$	−13.1094	+	22.7061i	−0.929298	+	1.60959i	−0.784499	+	0.620129i	$0.787080\pi$
$200$	22.7934	+	8.29611i	1.61174	+	0.586624i
$201$	−1.47917	+	9.88456i	−0.104333	+	0.697203i
$202$	8.41825	+	7.06375i	0.592306	+	0.497004i
$203$	2.43936	+	2.04687i	0.171210	+	0.143662i
$204$	−3.67734	+	24.5738i	−0.257465	+	1.72051i
$205$	5.69934	+	2.07439i	0.398059	+	0.144882i
$206$	14.9495	−	25.8934i	1.04158	−	1.80408i
$207$	13.8862	+	10.4722i	0.965157	+	0.727871i
$208$	10.5710	+	18.3095i	0.732967	+	1.26954i
$209$	0.0529176	+	0.300111i	0.00366039	+	0.0207591i
$210$	0.648448	+	3.19032i	0.0447472	+	0.220153i
$211$	−10.2101	+	3.71618i	−0.702894	+	0.255833i	−0.668646	−	0.743581i	$-0.733126\pi$
$211$	−10.2101	+	3.71618i	−0.702894	+	0.255833i	−0.0342482	+	0.999413i	$0.510904\pi$
$212$	4.15420	−	23.5596i	0.285312	−	1.61808i
$213$	10.4759	−	0.272338i	0.717799	−	0.0186603i
$214$	−13.3493	+	11.2014i	−0.912541	+	0.765713i
$215$	−6.38499			−0.435452
$216$	15.4880	+	22.5627i	1.05383	+	1.53520i
$217$	−0.0797899			−0.00541649
$218$	13.8386	−	11.6120i	0.937270	−	0.786463i
$219$	13.4184	−	24.7024i	0.906730	−	1.66924i
$220$	−0.450189	+	2.55315i	−0.0303517	+	0.172133i
$221$	14.4386	−	5.25524i	0.971248	−	0.353505i
$222$	−4.13301	+	3.65519i	−0.277390	+	0.245320i
$223$	2.98033	+	16.9023i	0.199578	+	1.13186i	0.905747	+	0.423818i	$0.139310\pi$
$223$	2.98033	+	16.9023i	0.199578	+	1.13186i	−0.706170	+	0.708043i	$0.749578\pi$
$224$	−0.788346	−	1.36545i	−0.0526736	−	0.0912333i
$225$	−3.10294	−	13.4636i	−0.206863	−	0.897571i
$226$	16.8600	−	29.2023i	1.12151	−	1.94251i
$227$	−15.3122	−	5.57317i	−1.01630	−	0.369904i	−0.220453	−	0.975397i	$-0.570754\pi$
$227$	−15.3122	−	5.57317i	−1.01630	−	0.369904i	−0.795851	+	0.605493i	$0.792976\pi$
$228$	−1.70479	−	1.35658i	−0.112903	−	0.0898417i
$229$	3.46704	+	2.90919i	0.229109	+	0.192245i	0.750114	−	0.661308i	$-0.229999\pi$
$229$	3.46704	+	2.90919i	0.229109	+	0.192245i	−0.521006	+	0.853553i	$0.674443\pi$
$230$	−6.90494	−	5.79394i	−0.455299	−	0.382041i
$231$	1.94834	−	0.767047i	0.128192	−	0.0504680i
$232$	−13.0364	−	4.74488i	−0.855885	−	0.311517i
$233$	5.41591	−	9.38062i	0.354808	−	0.614545i	−0.632277	−	0.774742i	$-0.717880\pi$
$233$	5.41591	−	9.38062i	0.354808	−	0.614545i	0.987085	+	0.160197i	$0.0512130\pi$
$234$	14.9162	−	29.2474i	0.975105	−	1.91196i
$235$	3.22305	+	5.58248i	0.210248	+	0.364161i
$236$	5.58977	+	31.7012i	0.363863	+	2.06357i
$237$	−6.77274	−	2.26755i	−0.439937	−	0.147293i
$238$	−9.77341	+	3.55723i	−0.633516	+	0.230581i
$239$	1.22773	−	6.96281i	0.0794153	−	0.450387i	−0.919007	−	0.394241i	$-0.871008\pi$
$239$	1.22773	−	6.96281i	0.0794153	−	0.450387i	0.998423	−	0.0561460i	$-0.0178812\pi$
$240$	−2.71743	−	4.43632i	−0.175409	−	0.286363i
$241$	−7.93177	+	6.65555i	−0.510930	+	0.428721i	−0.861456	−	0.507832i	$-0.830447\pi$
$241$	−7.93177	+	6.65555i	−0.510930	+	0.428721i	0.350526	+	0.936553i	$0.386003\pi$
$242$	2.47541			0.159125
$243$	5.97907	−	14.3962i	0.383558	−	0.923517i
$244$	−2.86485			−0.183403
$245$	2.66484	−	2.23606i	0.170250	−	0.142857i
$246$	21.6259	+	35.3053i	1.37882	+	2.25098i
$247$	−0.233949	+	1.32679i	−0.0148858	+	0.0844218i
$248$	0.326652	−	0.118892i	0.0207424	−	0.00754962i
$249$	13.7722	+	4.61100i	0.872776	+	0.292211i
$250$	2.59334	+	14.7076i	0.164017	+	0.930188i
$251$	12.7689	+	22.1163i	0.805963	+	1.39597i	0.915639	+	0.402002i	$0.131686\pi$
$251$	12.7689	+	22.1163i	0.805963	+	1.39597i	−0.109675	+	0.993967i	$0.534981\pi$
$252$	−6.80123	+	13.3357i	−0.428437	+	0.840069i
$253$	−2.89873	+	5.02074i	−0.182241	+	0.315651i
$254$	−30.9515	−	11.2654i	−1.94207	−	0.706856i
$255$	−3.51813	+	1.38506i	−0.220314	+	0.0867358i
$256$	−24.9800	−	20.9607i	−1.56125	−	1.31004i
$257$	−6.31828	−	5.30167i	−0.394123	−	0.330709i	0.424093	−	0.905618i	$-0.360593\pi$
$257$	−6.31828	−	5.30167i	−0.394123	−	0.330709i	−0.818217	+	0.574910i	$0.805037\pi$
$258$	−34.1055	−	27.1393i	−2.12331	−	1.68962i
$259$	−1.46188	−	0.532080i	−0.0908366	−	0.0330618i
$260$	−5.73081	+	9.92606i	−0.355410	+	0.615588i
$261$	1.77470	+	7.70035i	0.109851	+	0.476640i
$262$	13.3930	+	23.1973i	0.827422	+	1.43314i
$263$	4.06796	+	23.0705i	0.250841	+	1.42259i	0.806527	+	0.591197i	$0.201345\pi$
$263$	4.06796	+	23.0705i	0.250841	+	1.42259i	−0.555686	+	0.831392i	$0.687544\pi$
$264$	−6.83338	+	6.04336i	−0.420565	+	0.371943i
$265$	3.42076	−	1.24506i	0.210136	−	0.0764831i
$266$	0.158359	−	0.898096i	0.00970958	−	0.0550658i
$267$	−12.1325	+	22.3352i	−0.742497	+	1.36689i
$268$	18.2458	−	15.3100i	1.11454	−	0.935208i
$269$	−1.84782			−0.112663			−0.0563317	−	0.998412i	$-0.517940\pi$
$269$	−1.84782			−0.112663			−0.0563317	+	0.998412i	$0.517940\pi$
$270$	−3.48219	+	7.28990i	−0.211919	+	0.443649i
$271$	13.2049			0.802139			0.401069	−	0.916048i	$-0.368639\pi$
$271$	13.2049			0.802139			0.401069	+	0.916048i	$0.368639\pi$
$272$	12.7320	−	10.6834i	0.771992	−	0.647778i
$273$	9.25402	−	0.240572i	0.560079	−	0.0145601i
$274$	3.39188	−	19.2363i	0.204911	−	1.16211i
$275$	4.32776	−	1.57517i	0.260974	−	0.0949866i
$276$	−8.25565	−	40.6172i	−0.496932	−	2.44487i
$277$	1.72891	+	9.80512i	0.103880	+	0.589133i	0.991662	+	0.128868i	$0.0411344\pi$
$277$	1.72891	+	9.80512i	0.103880	+	0.589133i	−0.887782	+	0.460265i	$0.847754\pi$
$278$	−25.5266	−	44.2133i	−1.53098	−	2.65174i
$279$	−0.158088	−	0.119222i	−0.00946449	−	0.00713763i
$280$	1.99955	−	3.46333i	0.119496	−	0.206973i
$281$	14.3392	+	5.21905i	0.855407	+	0.311343i	0.732243	−	0.681044i	$-0.238474\pi$
$281$	14.3392	+	5.21905i	0.855407	+	0.311343i	0.123164	+	0.992386i	$0.460696\pi$
$282$	−6.51229	+	43.5184i	−0.387801	+	2.59148i
$283$	6.04811	+	5.07496i	0.359523	+	0.301675i	0.804600	−	0.593817i	$-0.202380\pi$
$283$	6.04811	+	5.07496i	0.359523	+	0.301675i	−0.445078	+	0.895492i	$0.646824\pi$
$284$	−19.1309	−	16.0527i	−1.13521	−	0.952554i
$285$	0.0490642	−	0.327871i	0.00290631	−	0.0194214i
$286$	10.2838	+	3.74300i	0.608095	+	0.221328i
$287$	−5.83689	+	10.1098i	−0.344540	+	0.596762i
$288$	0.478305	−	3.88333i	0.0281844	−	0.228827i
$289$	2.46041	+	4.26155i	0.144730	+	0.250680i
$290$	−0.711159	−	4.03318i	−0.0417607	−	0.236837i
$291$	−0.189456	−	0.932112i	−0.0111061	−	0.0546413i
$292$	−62.9526	+	22.9129i	−3.68402	+	1.34087i
$293$	5.17569	−	29.3528i	0.302367	−	1.71481i	−0.333279	−	0.942828i	$-0.608155\pi$
$293$	5.17569	−	29.3528i	0.302367	−	1.71481i	0.635646	−	0.771980i	$-0.280734\pi$
$294$	23.7386	−	0.617120i	1.38446	−	0.0359912i
$295$	−3.75230	+	3.14855i	−0.218467	+	0.183316i
$296$	6.77760			0.393940
$297$	5.00638	+	1.39145i	0.290500	+	0.0807404i
$298$	−57.7655			−3.34627
$299$	−19.6342	+	16.4750i	−1.13547	+	0.952776i
$300$	−15.7164	+	28.9330i	−0.907389	+	1.67045i
$301$	2.13404	−	12.1027i	0.123004	−	0.697591i
$302$	−40.3811	+	14.6975i	−2.32367	+	0.845747i
$303$	−5.75984	+	5.09393i	−0.330894	+	0.292639i
$304$	0.253060	+	1.43518i	0.0145140	+	0.0823130i
$305$	−0.217968	−	0.377531i	−0.0124808	−	0.0216174i
$306$	−24.6793	−	7.55544i	−1.41082	−	0.431916i
$307$	1.65994	−	2.87511i	0.0947381	−	0.164091i	−0.814761	−	0.579797i	$-0.803132\pi$
$307$	1.65994	−	2.87511i	0.0947381	−	0.164091i	0.909499	+	0.415706i	$0.136465\pi$
$308$	−4.68903	−	1.70667i	−0.267182	−	0.0972463i
$309$	16.3701	+	13.0264i	0.931260	+	0.741046i
$310$	0.0786098	+	0.0659614i	0.00446473	+	0.00374636i
$311$	−6.91734	−	5.80434i	−0.392246	−	0.329134i	0.425241	−	0.905080i	$-0.360189\pi$
$311$	−6.91734	−	5.80434i	−0.392246	−	0.329134i	−0.817488	+	0.575946i	$0.804634\pi$
$312$	−37.5265	+	14.7739i	−2.12452	+	0.836407i
$313$	−21.8811	−	7.96407i	−1.23679	−	0.450156i	−0.360874	−	0.932614i	$-0.617522\pi$
$313$	−21.8811	−	7.96407i	−1.23679	−	0.450156i	−0.875919	+	0.482458i	$0.839744\pi$
$314$	8.17881	−	14.1661i	0.461557	−	0.799440i
$315$	−2.27484	+	0.118356i	−0.128173	+	0.00666859i
$316$	8.51034	+	14.7403i	0.478744	+	0.829209i
$317$	1.03628	+	5.87706i	0.0582035	+	0.330088i	0.999981	−	0.00614800i	$-0.00195698\pi$
$317$	1.03628	+	5.87706i	0.0582035	+	0.330088i	−0.941778	+	0.336236i	$0.890846\pi$
$318$	23.5641	+	7.88941i	1.32141	+	0.442416i
$319$	−2.47522	+	0.900905i	−0.138586	+	0.0504410i
$320$	0.691029	−	3.91902i	0.0386297	−	0.219080i
$321$	−6.36898	−	10.3977i	−0.355482	−	0.580340i
$322$	13.2902	−	11.1518i	0.740636	−	0.621467i
$323$	1.05913			0.0589315
$324$	−33.4014	+	16.2597i	−1.85564	+	0.903315i
$325$	20.3610			1.12942
$326$	−39.3535	+	33.0215i	−2.17959	+	1.82889i
$327$	6.60243	+	10.7788i	0.365115	+	0.596067i
$328$	8.83146	−	50.0857i	0.487636	−	2.76552i
$329$	−11.6588	+	4.24347i	−0.642772	+	0.233950i
$330$	−2.55363	−	0.854972i	−0.140573	−	0.0470646i
$331$	1.90374	+	10.7966i	0.104639	+	0.593437i	0.991364	+	0.131139i	$0.0418636\pi$
$331$	1.90374	+	10.7966i	0.104639	+	0.593437i	−0.886725	+	0.462297i	$0.847025\pi$
$332$	−17.3055	−	29.9741i	−0.949765	−	1.64504i
$333$	−2.10139	−	3.23854i	−0.115156	−	0.177471i
$334$	25.0241	−	43.3430i	1.36926	−	2.37162i
$335$	3.40576	+	1.23960i	0.186077	+	0.0677263i
$336$	9.31729	−	3.66814i	0.508300	−	0.200114i
$337$	−1.24327	−	1.04323i	−0.0677255	−	0.0568284i	0.608297	−	0.793710i	$-0.291853\pi$
$337$	−1.24327	−	1.04323i	−0.0677255	−	0.0568284i	−0.676022	+	0.736881i	$0.736298\pi$
$338$	12.4118	+	10.4147i	0.675112	+	0.566486i
$339$	18.4620	+	14.6911i	1.00272	+	0.797909i
$340$	8.46699	+	3.08173i	0.459187	+	0.167130i
$341$	0.0330007	−	0.0571589i	0.00178709	−	0.00309533i
$342$	1.65569	−	1.54278i	0.0895294	−	0.0834241i
$343$	7.57899	+	13.1272i	0.409227	+	0.708802i
$344$	9.29724	+	52.7272i	0.501273	+	2.84286i
$345$	4.72442	−	4.17822i	0.254354	−	0.224948i
$346$	20.2550	−	7.37222i	1.08892	−	0.396333i
$347$	0.884852	−	5.01824i	0.0475013	−	0.269393i	−0.951802	−	0.306713i	$-0.900771\pi$
$347$	0.884852	−	5.01824i	0.0475013	−	0.269393i	0.999303	+	0.0373195i	$0.0118819\pi$
$348$	8.98886	−	16.5480i	0.481854	−	0.887063i
$349$	−11.0916	+	9.30696i	−0.593720	+	0.498190i	−0.889420	−	0.457091i	$-0.848892\pi$
$349$	−11.0916	+	9.30696i	−0.593720	+	0.498190i	0.295700	+	0.955281i	$0.404447\pi$
$350$	−13.7822			−0.736689
$351$	18.6945	+	13.3507i	0.997838	+	0.712606i
$352$	1.30422			0.0695153
$353$	−1.37402	+	1.15294i	−0.0731316	+	0.0613647i	−0.678621	−	0.734489i	$-0.737422\pi$
$353$	−1.37402	+	1.15294i	−0.0731316	+	0.0613647i	0.605489	+	0.795854i	$0.292978\pi$
$354$	−33.4258	+	0.868954i	−1.77656	+	0.0461844i
$355$	0.659890	−	3.74242i	0.0350233	−	0.198627i
$356$	56.9199	−	20.7171i	3.01675	−	1.09801i
$357$	−1.44952	−	7.13154i	−0.0767169	−	0.377441i
$358$	−1.07502	−	6.09672i	−0.0568164	−	0.322222i
$359$	7.94773	+	13.7659i	0.419465	+	0.726535i	0.995886	−	0.0906184i	$-0.0288844\pi$
$359$	7.94773	+	13.7659i	0.419465	+	0.726535i	−0.576421	+	0.817153i	$0.695551\pi$
$360$	9.13661	−	3.87418i	0.481542	−	0.204187i
$361$	9.45357	−	16.3741i	0.497556	−	0.861793i
$362$	5.73988	+	2.08915i	0.301682	+	0.109803i
$363$	−0.256338	+	1.71298i	−0.0134542	+	0.0899080i
$364$	−16.8995	−	14.1803i	−0.885772	−	0.743251i
$365$	−7.80911	−	6.55262i	−0.408747	−	0.342980i
$366$	0.440412	−	2.94306i	0.0230207	−	0.153836i
$367$	−14.9806	−	5.45251i	−0.781983	−	0.284619i	−0.0799838	−	0.996796i	$-0.525487\pi$
$367$	−14.9806	−	5.45251i	−0.781983	−	0.284619i	−0.701999	+	0.712178i	$0.747709\pi$
$368$	−13.8622	+	24.0100i	−0.722616	+	1.25161i
$369$	−26.6707	+	11.3091i	−1.38842	+	0.588728i
$370$	1.00039	+	1.73273i	0.0520078	+	0.0900801i
$371$	1.21669	+	6.90019i	0.0631674	+	0.358240i
$372$	0.0939869	+	0.462409i	0.00487300	+	0.0239748i
$373$	10.9439	−	3.98324i	0.566651	−	0.206244i	−0.0427781	−	0.999085i	$-0.513621\pi$
$373$	10.9439	−	3.98324i	0.566651	−	0.206244i	0.609429	+	0.792840i	$0.291399\pi$
$374$	1.49395	−	8.47261i	0.0772503	−	0.438108i
$375$	−10.4461	+	0.271563i	−0.539437	+	0.0140235i
$376$	41.4071	−	34.7447i	2.13541	−	1.79182i
$377$	−11.6453			−0.599762
$378$	−12.6542	−	9.03697i	−0.650860	−	0.464812i
$379$	7.31201			0.375593			0.187796	−	0.982208i	$-0.439866\pi$
$379$	7.31201			0.375593			0.187796	+	0.982208i	$0.439866\pi$
$380$	−0.605213	+	0.507834i	−0.0310468	+	0.0260513i
$381$	11.0008	−	20.2518i	0.563588	−	1.03753i
$382$	−9.62702	+	54.5976i	−0.492561	+	2.79345i
$383$	−22.4351	+	8.16570i	−1.14638	+	0.417248i	−0.844213	−	0.536008i	$-0.819932\pi$
$383$	−22.4351	+	8.16570i	−1.14638	+	0.417248i	−0.302166	+	0.953255i	$0.597710\pi$
$384$	23.7332	−	20.9893i	1.21113	−	1.07111i
$385$	−0.131852	−	0.747770i	−0.00671981	−	0.0381099i
$386$	29.3699	+	50.8701i	1.49489	+	2.58922i
$387$	22.3121	−	20.7905i	1.13419	−	1.05684i
$388$	−1.13337	+	1.96305i	−0.0575379	+	0.0996586i
$389$	11.3958	+	4.14774i	0.577791	+	0.210299i	0.614351	−	0.789033i	$-0.289418\pi$
$389$	11.3958	+	4.14774i	0.577791	+	0.210299i	−0.0365600	+	0.999331i	$0.511640\pi$
$390$	−9.31602	−	7.41318i	−0.471735	−	0.375381i
$391$	15.4351	+	12.9516i	0.780588	+	0.654991i
$392$	−22.3457	−	18.7503i	−1.12863	−	0.947033i
$393$	−17.4394	+	6.86575i	−0.879702	+	0.346331i
$394$	17.2886	+	6.29255i	0.870990	+	0.317014i
$395$	−1.29499	+	2.24299i	−0.0651581	+	0.112857i
$396$	−6.74030	−	10.3878i	−0.338713	−	0.522004i
$397$	15.6860	+	27.1690i	0.787260	+	1.36357i	0.927640	+	0.373476i	$0.121834\pi$
$397$	15.6860	+	27.1690i	0.787260	+	1.36357i	−0.140380	+	0.990098i	$0.544832\pi$
$398$	11.2701	+	63.9160i	0.564920	+	3.20382i
$399$	0.605082	+	0.202585i	0.0302920	+	0.0101419i
$400$	20.6960	−	7.53274i	1.03480	−	0.376637i
$401$	3.36192	−	19.0664i	0.167886	−	0.952131i	−0.778152	−	0.628076i	$-0.783843\pi$
$401$	3.36192	−	19.0664i	0.167886	−	0.952131i	0.946038	−	0.324055i	$-0.105046\pi$
$402$	12.9230	+	21.0974i	0.644542	+	1.05224i
$403$	0.223527	−	0.187561i	0.0111347	−	0.00934309i
$404$	18.3241			0.911660
$405$	−4.68400	−	3.16456i	−0.232750	−	0.157248i
$406$	7.88259			0.391206
$407$	0.985790	−	0.827176i	0.0488638	−	0.0410016i
$408$	16.5606	+	27.0359i	0.819872	+	1.33848i
$409$	−1.95862	+	11.1079i	−0.0968477	+	0.549250i	0.897318	+	0.441385i	$0.145513\pi$
$409$	−1.95862	+	11.1079i	−0.0968477	+	0.549250i	−0.994166	+	0.107865i	$0.965598\pi$
$410$	14.1082	−	5.13496i	0.696754	−	0.253598i
$411$	12.9602	+	4.33916i	0.639281	+	0.214035i
$412$	−8.65732	−	49.0981i	−0.426515	−	2.41889i
$413$	−4.71396	−	8.16482i	−0.231959	−	0.401765i
$414$	42.9950	−	2.23695i	2.11309	−	0.109940i
$415$	2.63333	−	4.56106i	0.129265	−	0.223894i
$416$	5.41826	+	1.97208i	0.265652	+	0.0966894i
$417$	33.2389	−	13.0859i	1.62772	−	0.640818i
$418$	0.577870	+	0.484891i	0.0282646	+	0.0237168i
$419$	−6.71114	−	5.63131i	−0.327861	−	0.275108i	0.463967	−	0.885853i	$-0.346426\pi$
$419$	−6.71114	−	5.63131i	−0.327861	−	0.275108i	−0.791827	+	0.610745i	$0.790870\pi$
$420$	4.24775	+	3.38012i	0.207269	+	0.164933i
$421$	37.7604	+	13.7437i	1.84033	+	0.669825i	0.989529	+	0.144336i	$0.0461045\pi$
$421$	37.7604	+	13.7437i	1.84033	+	0.669825i	0.850800	+	0.525489i	$0.176118\pi$
$422$	−13.4481	+	23.2929i	−0.654645	+	1.13388i
$423$	−29.4403	−	9.01299i	−1.43144	−	0.438226i
$424$	−15.2627	−	26.4357i	−0.741221	−	1.28383i
$425$	−2.77950	−	15.7633i	−0.134825	−	0.764633i
$426$	19.4319	−	17.1853i	0.941479	−	0.832632i
$427$	0.788462	−	0.286977i	0.0381563	−	0.0138878i
$428$	−5.04581	+	28.6162i	−0.243899	+	1.38322i
$429$	−3.65508	+	6.72878i	−0.176469	+	0.324869i
$430$	−12.1077	+	10.1595i	−0.583884	+	0.489937i
$431$	−41.2625			−1.98754			−0.993772	−	0.111434i	$-0.964456\pi$
$431$	−41.2625			−1.98754			−0.993772	+	0.111434i	$0.964456\pi$
$432$	23.9413	+	6.65416i	1.15188	+	0.320149i
$433$	−26.2223			−1.26016			−0.630081	−	0.776529i	$-0.716979\pi$
$433$	−26.2223			−1.26016			−0.630081	+	0.776529i	$0.716979\pi$
$434$	−0.151303	+	0.126959i	−0.00726280	+	0.00609421i
$435$	2.86460	−	0.0744695i	0.137347	−	0.00357054i
$436$	5.23076	−	29.6651i	0.250508	−	1.42070i
$437$	−1.66017	+	0.604253i	−0.0794167	+	0.0289053i
$438$	−13.8607	−	68.1934i	−0.662288	−	3.25841i
$439$	0.837390	+	4.74907i	0.0399664	+	0.226661i	0.998248	−	0.0591640i	$-0.0188435\pi$
$439$	0.837390	+	4.74907i	0.0399664	+	0.226661i	−0.958282	+	0.285825i	$0.907732\pi$
$440$	1.65401	+	2.86483i	0.0788518	+	0.136575i
$441$	−2.03118	+	16.4910i	−0.0967227	+	0.785285i
$442$	19.0177	−	32.9396i	0.904578	−	1.56678i
$443$	−23.3602	−	8.50242i	−1.10988	−	0.403962i	−0.278928	−	0.960312i	$-0.589979\pi$
$443$	−23.3602	−	8.50242i	−1.10988	−	0.403962i	−0.830948	+	0.556350i	$0.812201\pi$
$444$	−1.36159	+	9.09880i	−0.0646180	+	0.431810i
$445$	7.06077	+	5.92469i	0.334712	+	0.280857i
$446$	32.5458	+	27.3091i	1.54109	+	1.29313i
$447$	5.98183	−	39.9736i	0.282931	−	1.89069i
$448$	7.19755	+	2.61969i	0.340052	+	0.123769i
$449$	−2.55941	+	4.43302i	−0.120786	+	0.209207i	−0.920078	−	0.391736i	$-0.871875\pi$
$449$	−2.55941	+	4.43302i	−0.120786	+	0.209207i	0.799292	+	0.600943i	$0.205208\pi$
$450$	−27.3067	−	20.5933i	−1.28725	−	0.970778i
$451$	−4.82821	−	8.36271i	−0.227352	−	0.393785i
$452$	−9.76365	−	55.3724i	−0.459244	−	2.60450i
$453$	−5.98904	−	29.4656i	−0.281389	−	1.38441i
$454$	−37.9039	+	13.7959i	−1.77892	+	0.647472i
$455$	0.582920	−	3.30590i	0.0273277	−	0.154983i
$456$	−2.77901	+	0.0722444i	−0.130139	+	0.00338315i
$457$	−10.6548	+	8.94048i	−0.498413	+	0.418218i	−0.857030	−	0.515267i	$-0.827693\pi$
$457$	−10.6548	+	8.94048i	−0.498413	+	0.418218i	0.358617	+	0.933485i	$0.383248\pi$
$458$	11.2035			0.523503
$459$	7.78398	−	16.2956i	0.363325	−	0.760615i
$460$	−15.0301			−0.700782
$461$	18.9010	−	15.8598i	0.880307	−	0.738665i	−0.0859352	−	0.996301i	$-0.527388\pi$
$461$	18.9010	−	15.8598i	0.880307	−	0.738665i	0.966242	+	0.257635i	$0.0829434\pi$
$462$	2.47409	−	4.55466i	0.115105	−	0.211902i
$463$	4.65680	−	26.4100i	0.216420	−	1.22738i	−0.662005	−	0.749499i	$-0.730294\pi$
$463$	4.65680	−	26.4100i	0.216420	−	1.22738i	0.878425	−	0.477880i	$-0.158594\pi$
$464$	−11.8369	+	4.30828i	−0.549514	+	0.200007i
$465$	−0.0537855	+	0.0475672i	−0.00249424	+	0.00220588i
$466$	−4.65606	−	26.4058i	−0.215688	−	1.22323i
$467$	−6.97568	−	12.0822i	−0.322796	−	0.559099i	0.658268	−	0.752784i	$-0.271289\pi$
$467$	−6.97568	−	12.0822i	−0.322796	−	0.559099i	−0.981064	+	0.193685i	$0.937956\pi$
$468$	−12.2948	−	53.3467i	−0.568326	−	2.46595i
$469$	−3.48795	+	6.04131i	−0.161059	+	0.278962i
$470$	14.9944	+	5.45752i	0.691641	+	0.251737i
$471$	8.95598	+	7.12668i	0.412670	+	0.328380i
$472$	31.4645	+	26.4019i	1.44827	+	1.21525i
$473$	7.78739	+	6.53439i	0.358064	+	0.300452i
$474$	−16.4510	+	6.47663i	−0.755620	+	0.297481i
$475$	1.31884	+	0.480019i	0.0605126	+	0.0220248i
$476$	−8.67133	+	15.0192i	−0.397450	+	0.688403i
$477$	−7.89961	+	15.4893i	−0.361698	+	0.709209i
$478$	−8.75084	−	15.1569i	−0.400254	−	0.693260i
$479$	0.312282	+	1.77104i	0.0142685	+	0.0809207i	0.991111	−	0.133041i	$-0.0424743\pi$
$479$	0.312282	+	1.77104i	0.0142685	+	0.0809207i	−0.976842	+	0.213962i	$0.931363\pi$
$480$	−1.34544	−	0.450461i	−0.0614106	−	0.0205606i
$481$	5.34611	−	1.94583i	0.243762	−	0.0887220i
$482$	−4.45075	+	25.2415i	−0.202726	+	1.14972i
$483$	6.34079	+	10.3516i	0.288516	+	0.471015i
$484$	3.16196	−	2.65320i	0.143725	−	0.120600i
$485$	−0.344921			−0.0156621
$486$	−11.5687	−	36.8128i	−0.524768	−	1.66986i
$487$	−14.3269			−0.649214			−0.324607	−	0.945849i	$-0.605232\pi$
$487$	−14.3269			−0.649214			−0.324607	+	0.945849i	$0.605232\pi$
$488$	−2.80027	+	2.34971i	−0.126762	+	0.106366i
$489$	−18.7756	−	30.6521i	−0.849064	−	1.38613i
$490$	1.49532	−	8.48038i	0.0675516	−	0.383104i
$491$	−4.06361	+	1.47903i	−0.183388	+	0.0667479i	−0.432082	−	0.901834i	$-0.642221\pi$
$491$	−4.06361	+	1.47903i	−0.183388	+	0.0667479i	0.248694	+	0.968582i	$0.419999\pi$
$492$	65.4649	+	21.9180i	2.95139	+	0.988141i
$493$	1.58970	+	9.01566i	0.0715967	+	0.406045i
$494$	1.66751	+	2.88821i	0.0750248	+	0.129947i
$495$	0.856077	−	1.67857i	0.0384778	−	0.0754463i
$496$	0.157815	−	0.273343i	0.00708609	−	0.0122735i
$497$	6.87321	+	2.50164i	0.308305	+	0.112214i
$498$	33.4527	−	13.1700i	1.49905	−	0.590163i
$499$	−31.9407	−	26.8014i	−1.42986	−	1.19980i	−0.945795	−	0.324763i	$-0.894715\pi$
$499$	−31.9407	−	26.8014i	−1.42986	−	1.19980i	−0.484065	−	0.875032i	$-0.660840\pi$
$500$	19.0765	+	16.0071i	0.853127	+	0.715858i
$501$	27.4019	+	21.8049i	1.22423	+	0.974173i
$502$	59.4039	+	21.6212i	2.65132	+	0.965003i
$503$	−1.13352	+	1.96331i	−0.0505410	+	0.0875396i	−0.890189	−	0.455591i	$-0.849428\pi$
$503$	−1.13352	+	1.96331i	−0.0505410	+	0.0875396i	0.839648	+	0.543131i	$0.182761\pi$
$504$	4.28980	+	18.6133i	0.191083	+	0.829103i
$505$	1.39416	+	2.41476i	0.0620394	+	0.107455i
$506$	2.49204	+	14.1330i	0.110785	+	0.628290i
$507$	−8.49225	+	7.51044i	−0.377154	+	0.333551i
$508$	−51.6105	+	18.7847i	−2.28984	+	0.833435i
$509$	0.239206	−	1.35660i	0.0106026	−	0.0601305i	−0.979047	−	0.203632i	$-0.934725\pi$
$509$	0.239206	−	1.35660i	0.0106026	−	0.0601305i	0.989650	+	0.143502i	$0.0458364\pi$
$510$	−4.46748	+	8.22436i	−0.197823	+	0.364181i
$511$	15.0305	−	12.6121i	0.664911	−	0.557927i
$512$	−44.1363			−1.95057
$513$	0.896150	+	1.30549i	0.0395660	+	0.0576390i
$514$	−20.4170			−0.900555
$515$	5.81148	−	4.87641i	0.256085	−	0.214880i
$516$	−72.6531	+	1.88872i	−3.19837	+	0.0831465i
$517$	1.78215	−	10.1071i	0.0783790	−	0.444509i
$518$	−3.61874	+	1.31711i	−0.158998	+	0.0578707i
$519$	3.00408	+	14.7798i	0.131864	+	0.648763i
$520$	2.53957	+	14.4026i	0.111367	+	0.631596i
$521$	17.2092	+	29.8072i	0.753949	+	1.30588i	0.945895	+	0.324472i	$0.105187\pi$
$521$	17.2092	+	29.8072i	0.753949	+	1.30588i	−0.191946	+	0.981405i	$0.561480\pi$
$522$	15.6178	+	11.7781i	0.683573	+	0.515515i
$523$	0.0543492	−	0.0941357i	0.00237653	−	0.00411626i	−0.864835	−	0.502057i	$-0.832577\pi$
$523$	0.0543492	−	0.0941357i	0.00237653	−	0.00411626i	0.867211	+	0.497940i	$0.165910\pi$
$524$	41.9710	+	15.2762i	1.83351	+	0.667343i
$525$	1.42720	−	9.53725i	0.0622880	−	0.416240i
$526$	44.4229	+	37.2752i	1.93693	+	1.62528i
$527$	−0.175722	−	0.147448i	−0.00765457	−	0.00642295i
$528$	−1.22585	+	8.19173i	−0.0533482	+	0.356499i
$529$	−9.97058	−	3.62899i	−0.433503	−	0.157782i
$530$	4.50561	−	7.80395i	0.195711	−	0.338982i
$531$	2.86005	−	23.2206i	0.124116	−	1.00769i
$532$	−0.760320	−	1.31691i	−0.0329641	−	0.0570954i
$533$	−7.41325	−	42.0426i	−0.321103	−	1.82107i
$534$	12.5324	+	61.6584i	0.542330	+	2.66822i
$535$	−4.15496	+	1.51228i	−0.179634	+	0.0653816i
$536$	5.27743	−	29.9298i	0.227950	−	1.29277i
$537$	4.33024	−	0.112571i	0.186864	−	0.00485780i
$538$	−3.50396	+	2.94017i	−0.151067	+	0.126760i
$539$	−5.53853			−0.238561
$540$	3.36551	+	13.0440i	0.144829	+	0.561326i
$541$	−23.1842			−0.996768			−0.498384	−	0.866956i	$-0.666073\pi$
$541$	−23.1842			−0.996768			−0.498384	+	0.866956i	$0.666073\pi$
$542$	25.0400	−	21.0111i	1.07556	−	0.902503i
$543$	−2.04007	+	3.75565i	−0.0875478	+	0.161170i
$544$	0.787120	−	4.46398i	0.0337475	−	0.191392i
$545$	4.30725	−	1.56771i	0.184502	−	0.0671533i
$546$	17.1654	−	15.1808i	0.734609	−	0.649680i
$547$	−7.26899	−	41.2245i	−0.310800	−	1.76263i	−0.594864	−	0.803827i	$-0.702794\pi$
$547$	−7.26899	−	41.2245i	−0.310800	−	1.76263i	0.284064	−	0.958805i	$-0.408317\pi$
$548$	−16.2853	−	28.2069i	−0.695673	−	1.20494i
$549$	1.99098	+	0.609529i	0.0849730	+	0.0260141i
$550$	5.70025	−	9.87312i	0.243059	−	0.420991i
$551$	−0.754298	−	0.274542i	−0.0321342	−	0.0116959i
$552$	−41.3831	−	32.9304i	−1.76138	−	1.40161i
$553$	−3.81877	−	3.20433i	−0.162391	−	0.136262i
$554$	18.8800	+	15.8422i	0.802135	+	0.673071i
$555$	−1.30264	+	0.512838i	−0.0552939	+	0.0217687i
$556$	−79.9951	−	29.1159i	−3.39255	−	1.23479i
$557$	3.66000	−	6.33930i	0.155079	−	0.268605i	−0.778009	−	0.628253i	$-0.783770\pi$
$557$	3.66000	−	6.33930i	0.155079	−	0.268605i	0.933088	+	0.359649i	$0.117103\pi$
$558$	−0.489480	+	0.0254667i	−0.0207213	+	0.00107809i
$559$	22.4714	+	38.9216i	0.950438	+	1.64621i
$560$	−0.630538	−	3.57596i	−0.0266451	−	0.151112i
$561$	5.70832	+	1.91118i	0.241006	+	0.0806901i
$562$	35.4954	−	12.9193i	1.49728	−	0.544967i
$563$	−1.74119	+	9.87480i	−0.0733825	+	0.416173i	0.925881	+	0.377814i	$0.123324\pi$
$563$	−1.74119	+	9.87480i	−0.0733825	+	0.416173i	−0.999264	+	0.0383590i	$0.987787\pi$
$564$	38.3256	+	62.5682i	1.61380	+	2.63460i
$565$	6.55414	−	5.49958i	0.275735	−	0.231369i
$566$	19.5439			0.821493
$567$	7.56395	−	7.82084i	0.317656	−	0.328444i
$568$	−31.8658			−1.33706
$569$	2.90867	−	2.44067i	0.121938	−	0.102318i	−0.579780	−	0.814773i	$-0.696861\pi$
$569$	2.90867	−	2.44067i	0.121938	−	0.102318i	0.701717	+	0.712455i	$0.252417\pi$
$570$	−0.428657	−	0.699803i	−0.0179545	−	0.0293115i
$571$	−1.48758	+	8.43649i	−0.0622533	+	0.353056i	0.937730	+	0.347364i	$0.112923\pi$
$571$	−1.48758	+	8.43649i	−0.0622533	+	0.353056i	−0.999984	+	0.00569242i	$0.998188\pi$
$572$	17.1479	−	6.24131i	0.716988	−	0.260962i
$573$	−36.7845	−	12.3157i	−1.53669	−	0.514494i
$574$	5.01797	+	28.4583i	0.209446	+	1.18783i
$575$	13.3501	+	23.1230i	0.556737	+	0.964297i
$576$	10.3462	+	15.9450i	0.431092	+	0.664373i
$577$	−7.90840	+	13.6978i	−0.329231	+	0.570245i	−0.982359	−	0.187002i	$-0.940123\pi$
$577$	−7.90840	+	13.6978i	−0.329231	+	0.570245i	0.653128	+	0.757247i	$0.273456\pi$
$578$	11.4464	+	4.16616i	0.476109	+	0.173289i
$579$	−38.2434	+	15.0561i	−1.58934	+	0.625710i
$580$	−5.23126	−	4.38954i	−0.217216	−	0.182266i
$581$	7.76536	+	6.51591i	0.322161	+	0.270325i
$582$	−1.84240	−	1.46608i	−0.0763700	−	0.0607710i
$583$	−5.44629	−	1.98229i	−0.225562	−	0.0820979i
$584$	−42.7407	+	74.0290i	−1.76862	+	3.06334i
$585$	6.09461	−	5.67900i	0.251981	−	0.234798i
$586$	−36.8905	−	63.8963i	−1.52393	−	2.63953i
$587$	−5.59888	−	31.7528i	−0.231090	−	1.31058i	−0.850693	−	0.525663i	$-0.823817\pi$
$587$	−5.59888	−	31.7528i	−0.231090	−	1.31058i	0.619603	−	0.784916i	$-0.287294\pi$
$588$	29.6610	−	26.2319i	1.22320	−	1.08178i
$589$	0.0189003	−	0.00687915i	0.000778774	−	0.000283451i
$590$	−2.10553	+	11.9410i	−0.0866831	+	0.491605i
$591$	−6.14474	+	11.3121i	−0.252761	+	0.465317i
$592$	4.71421	−	3.95569i	0.193753	−	0.162578i
$593$	−37.6652			−1.54672			−0.773362	−	0.633965i	$-0.781427\pi$
$593$	−37.6652			−1.54672			−0.773362	+	0.633965i	$0.781427\pi$
$594$	11.7075	−	5.32738i	0.480364	−	0.218585i
$595$	−2.63898			−0.108188
$596$	−73.7867	+	61.9144i	−3.02242	+	2.53611i
$597$	−45.3968	+	1.18016i	−1.85797	+	0.0483006i
$598$	−11.0173	+	62.4823i	−0.450532	+	2.55509i
$599$	−1.53185	+	0.557548i	−0.0625897	+	0.0227808i	−0.373125	−	0.927781i	$-0.621714\pi$
$599$	−1.53185	+	0.557548i	−0.0625897	+	0.0227808i	0.310536	+	0.950562i	$0.399492\pi$
$600$	8.36825	+	41.1711i	0.341632	+	1.68081i
$601$	1.47795	+	8.38185i	0.0602867	+	0.341903i	1.00000		6.05487e-5i	$-1.92733e-5\pi$
$601$	1.47795	+	8.38185i	0.0602867	+	0.341903i	−0.939713	+	0.341963i	$0.888908\pi$
$602$	−15.2107	−	26.3457i	−0.619942	−	1.07377i
$603$	−15.9376	+	6.75799i	−0.649029	+	0.275207i
$604$	−35.8276	+	62.0552i	−1.45780	+	2.52499i
$605$	0.590212	+	0.214820i	0.0239955	+	0.00873366i
$606$	−2.81696	+	18.8243i	−0.114431	+	0.764686i
$607$	16.8351	+	14.1263i	0.683314	+	0.573369i	0.916973	−	0.398950i	$-0.130625\pi$
$607$	16.8351	+	14.1263i	0.683314	+	0.573369i	−0.233659	+	0.972319i	$0.575070\pi$
$608$	0.304464	+	0.255475i	0.0123476	+	0.0103609i
$609$	−0.816271	+	5.45474i	−0.0330770	+	0.221037i
$610$	−1.01404	−	0.369080i	−0.0410573	−	0.0149436i
$611$	22.6864	−	39.2941i	0.917795	−	1.58967i
$612$	−39.6222	+	16.8009i	−1.60163	+	0.679136i
$613$	−14.8014	−	25.6367i	−0.597822	−	1.03546i	−0.993142	−	0.116914i	$-0.962700\pi$
$613$	−14.8014	−	25.6367i	−0.597822	−	1.03546i	0.395320	−	0.918543i	$-0.370634\pi$
$614$	−1.42705	−	8.09323i	−0.0575912	−	0.326616i
$615$	2.09243	+	10.2946i	0.0843748	+	0.415118i
$616$	−5.98310	+	2.17767i	−0.241066	+	0.0877409i
$617$	5.30613	−	30.0926i	0.213617	−	1.21148i	−0.669674	−	0.742656i	$-0.733566\pi$
$617$	5.30613	−	30.0926i	0.213617	−	1.21148i	0.883290	−	0.468826i	$-0.155323\pi$
$618$	51.7692	−	1.34582i	2.08246	−	0.0541367i
$619$	0.273679	−	0.229644i	0.0110001	−	0.00923016i	−0.637271	−	0.770640i	$-0.719937\pi$
$619$	0.273679	−	0.229644i	0.0110001	−	0.00923016i	0.648271	+	0.761410i	$0.275492\pi$
$620$	0.171111			0.00687198
$621$	−2.90433	+	29.9841i	−0.116547	+	1.20322i
$622$	−22.3528			−0.896266
$623$	−13.5902	+	11.4035i	−0.544478	+	0.456871i
$624$	−17.4792	+	32.1781i	−0.699727	+	1.28816i
$625$	3.34067	−	18.9459i	0.133627	−	0.757836i
$626$	−54.1647	+	19.7143i	−2.16486	+	0.787943i
$627$	−0.395384	+	0.349673i	−0.0157901	+	0.0139646i
$628$	−4.73637	−	26.8613i	−0.189002	−	1.07188i
$629$	−2.23624	−	3.87329i	−0.0891649	−	0.154438i
$630$	−4.12540	+	3.84407i	−0.164360	+	0.153152i
$631$	16.9347	−	29.3318i	0.674161	−	1.16768i	−0.302552	−	0.953133i	$-0.597839\pi$
$631$	16.9347	−	29.3318i	0.674161	−	1.16768i	0.976713	−	0.214549i	$-0.0688282\pi$
$632$	20.4083	+	7.42801i	0.811798	+	0.295470i
$633$	−14.7260	−	11.7181i	−0.585306	−	0.465755i
$634$	11.3164	+	9.49561i	0.449433	+	0.377119i
$635$	−6.40215	−	5.37204i	−0.254062	−	0.213183i
$636$	38.5557	−	15.1790i	1.52883	−	0.601888i
$637$	−23.0092	−	8.37468i	−0.911659	−	0.331817i
$638$	−3.26020	+	5.64683i	−0.129073	+	0.223560i
$639$	9.87997	+	15.2264i	0.390846	+	0.602349i
$640$	−5.74459	−	9.94992i	−0.227075	−	0.393305i
$641$	5.09107	+	28.8729i	0.201085	+	1.14041i	0.903482	+	0.428625i	$0.141002\pi$
$641$	5.09107	+	28.8729i	0.201085	+	1.14041i	−0.702397	+	0.711785i	$0.747887\pi$
$642$	−28.6217	−	9.58270i	−1.12961	−	0.378199i
$643$	46.6990	−	16.9970i	1.84163	−	0.670297i	0.852600	−	0.522564i	$-0.175025\pi$
$643$	46.6990	−	16.9970i	1.84163	−	0.670297i	0.989027	−	0.147733i	$-0.0471977\pi$
$644$	5.02348	−	28.4896i	0.197953	−	1.12265i
$645$	−5.77659	−	9.43054i	−0.227453	−	0.371327i
$646$	2.00840	−	1.68524i	0.0790193	−	0.0663050i
$647$	11.7824			0.463213			0.231607	−	0.972810i	$-0.425602\pi$
$647$	11.7824			0.463213			0.231607	+	0.972810i	$0.425602\pi$
$648$	−19.3125	+	43.2884i	−0.758669	+	1.70053i
$649$	7.79869			0.306125
$650$	38.6100	−	32.3976i	1.51441	−	1.27074i
$651$	−0.0721871	−	0.117849i	−0.00282924	−	0.00461886i
$652$	−14.8750	+	84.3601i	−0.582548	+	3.30379i
$653$	−9.25099	+	3.36709i	−0.362019	+	0.131764i	−0.516625	−	0.856212i	$-0.672812\pi$
$653$	−9.25099	+	3.36709i	−0.362019	+	0.131764i	0.154605	+	0.987976i	$0.450589\pi$
$654$	29.6708	+	9.93394i	1.16022	+	0.388448i
$655$	1.18019	+	6.69321i	0.0461140	+	0.261525i
$656$	−23.0893	−	39.9918i	−0.901486	−	1.56142i
$657$	48.6250	−	2.52987i	1.89704	−	0.0986995i
$658$	−15.3563	+	26.5979i	−0.598650	+	1.03689i
$659$	−28.4218	−	10.3447i	−1.10715	−	0.402971i	−0.277206	−	0.960811i	$-0.589408\pi$
$659$	−28.4218	−	10.3447i	−1.10715	−	0.402971i	−0.829949	+	0.557839i	$0.811631\pi$
$660$	−4.17826	+	1.64495i	−0.162639	+	0.0640295i
$661$	34.4095	+	28.8730i	1.33837	+	1.12303i	0.982041	+	0.188670i	$0.0604176\pi$
$661$	34.4095	+	28.8730i	1.33837	+	1.12303i	0.356333	+	0.934359i	$0.384027\pi$
$662$	20.7892	+	17.4442i	0.807995	+	0.677988i
$663$	20.8248	+	16.5712i	0.808767	+	0.643572i
$664$	−41.4997	−	15.1046i	−1.61050	−	0.586174i
$665$	0.115696	−	0.200391i	0.00448648	−	0.00777081i
$666$	−9.13786	−	2.79751i	−0.354085	−	0.108401i
$667$	−7.63545	−	13.2250i	−0.295646	−	0.512074i
$668$	−14.4915	−	82.1855i	−0.560694	−	3.17985i
$669$	−22.2681	+	19.6936i	−0.860935	+	0.761400i
$670$	8.43064	−	3.06850i	0.325704	−	0.118547i
$671$	−0.120523	+	0.683521i	−0.00465274	+	0.0263870i
$672$	1.30353	−	2.39972i	0.0502848	−	0.0925713i
$673$	15.8540	−	13.3031i	0.611126	−	0.512796i	−0.283874	−	0.958862i	$-0.591620\pi$
$673$	15.8540	−	13.3031i	0.611126	−	0.512796i	0.895000	+	0.446066i	$0.147175\pi$
$674$	−4.01754			−0.154750
$675$	17.0782	−	16.7637i	0.657342	−	0.645235i
$676$	27.0169			1.03911
$677$	−17.4276	+	14.6235i	−0.669797	+	0.562026i	−0.913005	−	0.407948i	$-0.866245\pi$
$677$	−17.4276	+	14.6235i	−0.669797	+	0.562026i	0.243208	+	0.969974i	$0.421800\pi$
$678$	58.3849	−	1.51780i	2.24226	−	0.0582908i
$679$	0.115282	−	0.653799i	0.00442413	−	0.0250905i
$680$	10.8037	−	3.93223i	0.414303	−	0.150794i
$681$	−5.62163	−	27.6580i	−0.215421	−	1.05986i
$682$	−0.0283707	−	0.160898i	−0.00108637	−	0.00616112i
$683$	−21.2725	−	36.8451i	−0.813970	−	1.40984i	−0.910065	−	0.414465i	$-0.863969\pi$
$683$	−21.2725	−	36.8451i	−0.813970	−	1.40984i	0.0960949	−	0.995372i	$-0.469365\pi$
$684$	0.461302	−	3.74528i	0.0176383	−	0.143204i
$685$	2.47808	−	4.29216i	0.0946826	−	0.163995i
$686$	35.2593	+	12.8333i	1.34621	+	0.489979i
$687$	−1.16016	+	7.75277i	−0.0442628	+	0.295786i
$688$	37.2405	+	31.2485i	1.41978	+	1.19134i
$689$	−19.6287	−	16.4704i	−0.747792	−	0.627472i
$690$	2.31057	−	15.4404i	0.0879618	−	0.587805i
$691$	−33.6035	−	12.2307i	−1.27834	−	0.465277i	−0.388455	−	0.921468i	$-0.626991\pi$
$691$	−33.6035	−	12.2307i	−1.27834	−	0.465277i	−0.889882	+	0.456191i	$0.849213\pi$
$692$	17.9710	−	31.1267i	0.683155	−	1.18326i
$693$	2.89561	+	2.18372i	0.109995	+	0.0829527i
$694$	−6.30692	−	10.9239i	−0.239407	−	0.414666i
$695$	−2.24941	−	12.7570i	−0.0853248	−	0.483901i
$696$	−4.78614	−	23.5474i	−0.181418	−	0.892563i
$697$	−31.5371	+	11.4785i	−1.19455	+	0.434781i
$698$	−6.22383	+	35.2971i	−0.235575	+	1.33601i
$699$	18.7549	−	0.487562i	0.709376	−	0.0184413i
$700$	−17.6047	+	14.7721i	−0.665394	+	0.558332i
$701$	−15.8328			−0.597998			−0.298999	−	0.954253i	$-0.596653\pi$
$701$	−15.8328			−0.597998			−0.298999	+	0.954253i	$0.596653\pi$
$702$	56.6929	−	4.42944i	2.13974	−	0.167178i
$703$	0.392157			0.0147905
$704$	−4.85353	+	4.07260i	−0.182924	+	0.153492i
$705$	−5.32932	+	9.81096i	−0.200714	+	0.369502i
$706$	−0.771002	+	4.37257i	−0.0290171	+	0.164564i
$707$	−5.04315	+	1.83556i	−0.189667	+	0.0690332i
$708$	−41.7651	+	36.9365i	−1.56963	+	1.38816i
$709$	5.36703	+	30.4379i	0.201563	+	1.14312i	0.902757	+	0.430151i	$0.141540\pi$
$709$	5.36703	+	30.4379i	0.201563	+	1.14312i	−0.701194	+	0.712971i	$0.747349\pi$
$710$	−4.70347	−	8.14664i	−0.176518	−	0.305738i
$711$	−2.77825	−	12.0547i	−0.104192	−	0.452088i
$712$	38.6448	−	66.9348i	1.44828	−	2.50849i
$713$	0.359564	+	0.130871i	0.0134658	+	0.00490115i
$714$	−14.0961	−	11.2169i	−0.527534	−	0.419783i
$715$	2.12715	+	1.78489i	0.0795509	+	0.0667511i
$716$	−7.90778	−	6.63541i	−0.295527	−	0.247977i
$717$	11.3947	−	4.48601i	0.425544	−	0.167533i
$718$	36.9748	+	13.4577i	1.37989	+	0.502238i
$719$	5.05967	−	8.76360i	0.188694	−	0.326827i	−0.756121	−	0.654432i	$-0.772908\pi$
$719$	5.05967	−	8.76360i	0.188694	−	0.326827i	0.944815	+	0.327604i	$0.106241\pi$
$720$	4.09390	−	8.02721i	0.152571	−	0.299157i
$721$	7.30088	+	12.6455i	0.271899	+	0.470943i
$722$	−8.12723	−	46.0918i	−0.302464	−	1.71536i
$723$	−17.0061	−	5.69376i	−0.632465	−	0.211753i
$724$	9.57103	−	3.48357i	0.355704	−	0.129466i
$725$	−2.10656	+	11.9469i	−0.0782358	+	0.443697i
$726$	2.23954	+	3.65615i	0.0831170	+	0.135692i
$727$	4.30240	−	3.61015i	0.159567	−	0.133893i	−0.559508	−	0.828825i	$-0.689010\pi$
$727$	4.30240	−	3.61015i	0.159567	−	0.133893i	0.719076	+	0.694932i	$0.244566\pi$
$728$	−28.1490			−1.04327
$729$	26.6724	−	4.19344i	0.987865	−	0.155312i
$730$	−25.2345			−0.933970
$731$	27.0652	−	22.7104i	1.00104	−	0.839973i
$732$	−2.59187	−	4.23135i	−0.0957984	−	0.156395i
$733$	3.24425	−	18.3991i	0.119829	−	0.679585i	−0.864416	−	0.502777i	$-0.832312\pi$
$733$	3.24425	−	18.3991i	0.119829	−	0.679585i	0.984245	−	0.176808i	$-0.0565771\pi$
$734$	−37.0832	+	13.4972i	−1.36877	+	0.498190i
$735$	5.71356	+	1.91293i	0.210748	+	0.0705596i
$736$	1.31298	+	7.44630i	0.0483972	+	0.274474i
$737$	−2.88520	−	4.99731i	−0.106278	−	0.184078i
$738$	−32.5802	+	63.8825i	−1.19929	+	2.35155i
$739$	11.5416	−	19.9907i	0.424566	−	0.735369i	−0.571814	−	0.820383i	$-0.693760\pi$
$739$	11.5416	−	19.9907i	0.424566	−	0.735369i	0.996380	+	0.0850139i	$0.0270935\pi$
$740$	3.13502	+	1.14105i	0.115246	+	0.0419460i
$741$	−2.17131	+	0.854828i	−0.0797652	+	0.0314029i
$742$	13.2865	+	11.1487i	0.487762	+	0.409281i
$743$	29.5077	+	24.7599i	1.08253	+	0.908353i	0.996129	−	0.0879071i	$-0.0280179\pi$
$743$	29.5077	+	24.7599i	1.08253	+	0.908353i	0.0864043	+	0.996260i	$0.472462\pi$
$744$	0.471128	+	0.374898i	0.0172724	+	0.0137444i
$745$	−13.7730	−	5.01298i	−0.504605	−	0.183661i
$746$	14.4146	−	24.9667i	0.527754	−	0.914097i
$747$	5.64949	+	24.5130i	0.206704	+	0.896883i
$748$	−7.17284	−	12.4237i	−0.262265	−	0.454256i
$749$	−1.47783	−	8.38117i	−0.0539986	−	0.306241i
$750$	−19.3766	+	17.1365i	−0.707535	+	0.625735i
$751$	−2.98215	+	1.08541i	−0.108820	+	0.0396073i	−0.395856	−	0.918312i	$-0.629552\pi$
$751$	−2.98215	+	1.08541i	−0.108820	+	0.0396073i	0.287036	+	0.957920i	$0.407330\pi$
$752$	8.52254	−	48.3337i	0.310785	−	1.76255i
$753$	−21.1133	+	38.8684i	−0.769413	+	1.41644i
$754$	−22.0826	+	18.5295i	−0.804201	+	0.674804i
$755$	−10.9035			−0.396820
$756$	−25.8498	+	2.01965i	−0.940148	+	0.0734541i
$757$	28.7216			1.04390			0.521952	−	0.852975i	$-0.325204\pi$
$757$	28.7216			1.04390			0.521952	+	0.852975i	$0.325204\pi$
$758$	13.8656	−	11.6346i	0.503620	−	0.422587i
$759$	−10.0381	+	0.260955i	−0.364360	+	0.00947207i
$760$	−0.175052	+	0.992771i	−0.00634982	+	0.0360116i
$761$	13.4676	−	4.90179i	0.488198	−	0.177690i	−0.0861800	−	0.996280i	$-0.527466\pi$
$761$	13.4676	−	4.90179i	0.488198	−	0.177690i	0.574378	+	0.818590i	$0.305244\pi$
$762$	−11.3634	−	55.9070i	−0.411652	−	2.02530i
$763$	1.53199	+	8.68837i	0.0554619	+	0.314540i
$764$	46.2218	+	80.0586i	1.67225	+	2.89642i
$765$	−5.22862	−	3.94315i	−0.189041	−	0.142565i
$766$	−29.5501	+	51.1822i	−1.06769	+	1.84929i
$767$	32.3988	+	11.7922i	1.16985	+	0.425792i
$768$	8.35893	−	55.8586i	0.301627	−	2.01562i
$769$	−7.32789	−	6.14883i	−0.264250	−	0.221732i	0.501029	−	0.865430i	$-0.332955\pi$
$769$	−7.32789	−	6.14883i	−0.264250	−	0.221732i	−0.765280	+	0.643698i	$0.777399\pi$
$770$	−1.43985	−	1.20818i	−0.0518886	−	0.0435397i
$771$	2.11426	−	14.1285i	0.0761430	−	0.508826i
$772$	92.0393	+	33.4996i	3.31257	+	1.20568i
$773$	15.8008	−	27.3677i	0.568314	−	0.984348i	−0.428419	−	0.903580i	$-0.640929\pi$
$773$	15.8008	−	27.3677i	0.568314	−	0.984348i	0.996733	−	0.0807679i	$-0.0257373\pi$
$774$	9.22863	−	74.9266i	0.331716	−	2.69318i
$775$	−0.151985	−	0.263246i	−0.00545946	−	0.00945606i
$776$	0.502243	+	2.84836i	0.0180295	+	0.102250i
$777$	−0.536706	−	2.64055i	−0.0192542	−	0.0947293i
$778$	28.2093	−	10.2674i	1.01135	−	0.368102i
$779$	0.510995	−	2.89800i	0.0183083	−	0.103831i
$780$	−19.8454	+	0.515911i	−0.710580	+	0.0184726i
$781$	−4.63482	+	3.88908i	−0.165847	+	0.139162i
$782$	49.8773			1.78361
$783$	−9.76773	+	9.58782i	−0.349070	+	0.342641i
$784$	−26.4862			−0.945934
$785$	3.17943	−	2.66786i	0.113479	−	0.0952200i
$786$	−22.1453	+	40.7682i	−0.789898	+	1.45416i
$787$	3.73556	−	21.1854i	0.133158	−	0.755179i	−0.842966	−	0.537967i	$-0.819193\pi$
$787$	3.73556	−	21.1854i	0.133158	−	0.755179i	0.976124	−	0.217212i	$-0.0696963\pi$
$788$	28.8281	−	10.4926i	1.02696	−	0.373783i
$789$	−30.3945	+	26.8806i	−1.08207	+	0.956973i
$790$	1.11330	+	6.31386i	0.0396096	+	0.224637i
$791$	8.23388	+	14.2615i	0.292763	+	0.507080i
$792$	−15.1082	−	4.62530i	−0.536847	−	0.164353i
$793$	−1.53424	+	2.65737i	−0.0544823	+	0.0943661i
$794$	72.9753	+	26.5608i	2.58980	+	0.942609i
$795$	4.93374	+	3.92600i	0.174982	+	0.139241i
$796$	82.9025	+	69.5635i	2.93840	+	2.46561i
$797$	−2.79584	−	2.34599i	−0.0990336	−	0.0830991i	0.591927	−	0.805992i	$-0.298368\pi$
$797$	−2.79584	−	2.34599i	−0.0990336	−	0.0830991i	−0.690960	+	0.722893i	$0.742812\pi$
$798$	1.46975	−	0.578627i	0.0520284	−	0.0204832i
$799$	−33.5181	−	12.1996i	−1.18578	−	0.431590i
$800$	3.00330	−	5.20187i	0.106183	−	0.183914i
$801$	−43.9653	+	2.28743i	−1.55344	+	0.0808224i
$802$	−23.9626	−	41.5045i	−0.846150	−	1.46557i
$803$	2.81835	+	15.9837i	0.0994576	+	0.564052i
$804$	39.1199	+	13.0976i	1.37965	+	0.461916i
$805$	4.13657	−	1.50559i	0.145795	−	0.0530650i
$806$	0.125427	−	0.711334i	0.00441799	−	0.0250557i
$807$	−1.67175	−	2.72920i	−0.0588482	−	0.0960724i
$808$	17.9110	−	15.0292i	0.630108	−	0.528724i
$809$	−16.2484			−0.571264			−0.285632	−	0.958339i	$-0.592203\pi$
$809$	−16.2484			−0.571264			−0.285632	+	0.958339i	$0.592203\pi$
$810$	−13.9175	+	1.45213i	−0.489010	+	0.0510227i
$811$	−17.3955			−0.610839			−0.305419	−	0.952218i	$-0.598797\pi$
$811$	−17.3955			−0.610839			−0.305419	+	0.952218i	$0.598797\pi$
$812$	10.0688	−	8.44874i	0.353346	−	0.296493i
$813$	11.9466	+	19.5034i	0.418987	+	0.684015i
$814$	0.553156	−	3.13710i	0.0193881	−	0.109955i
$815$	−12.2487	+	4.45817i	−0.429054	+	0.156163i
$816$	27.2981	+	9.13957i	0.955625	+	0.319949i
$817$	0.537945	+	3.05084i	0.0188203	+	0.106735i
$818$	13.9604	+	24.1801i	0.488113	+	0.845437i
$819$	8.72757	+	13.4504i	0.304966	+	0.469996i
$820$	12.5173	−	21.6806i	0.437123	−	0.757120i
$821$	39.9070	+	14.5250i	1.39277	+	0.506925i	0.926023	−	0.377468i	$-0.123205\pi$
$821$	39.9070	+	14.5250i	1.39277	+	0.506925i	0.466743	+	0.884393i	$0.345427\pi$
$822$	31.4804	−	12.3936i	1.09801	−	0.432276i
$823$	−9.09334	−	7.63022i	−0.316974	−	0.265973i	0.470394	−	0.882457i	$-0.344112\pi$
$823$	−9.09334	−	7.63022i	−0.316974	−	0.265973i	−0.787367	+	0.616484i	$0.788556\pi$
$824$	−48.7316	−	40.8907i	−1.69765	−	1.42449i
$825$	6.24190	+	4.96696i	0.217315	+	0.172927i
$826$	−21.9305	−	7.98205i	−0.763060	−	0.277731i
$827$	−4.35338	+	7.54027i	−0.151382	+	0.262201i	−0.931736	−	0.363137i	$-0.881706\pi$
$827$	−4.35338	+	7.54027i	−0.151382	+	0.262201i	0.780354	+	0.625338i	$0.215039\pi$
$828$	52.5220	−	48.9404i	1.82527	−	1.70080i
$829$	−14.0047	−	24.2569i	−0.486403	−	0.842475i	0.513475	−	0.858105i	$-0.328358\pi$
$829$	−14.0047	−	24.2569i	−0.486403	−	0.842475i	−0.999878	+	0.0156296i	$0.995025\pi$
$830$	−2.26387	−	12.8391i	−0.0785802	−	0.445650i
$831$	−12.9179	+	11.4244i	−0.448116	+	0.396309i
$832$	−26.3216	+	9.58027i	−0.912536	+	0.332136i
$833$	−3.34259	+	18.9568i	−0.115814	+	0.656814i
$834$	42.2082	−	77.7028i	1.46155	−	2.69063i
$835$	9.72787	−	8.16265i	0.336647	−	0.282480i
$836$	1.25786			0.0435040
$837$	0.0330645	−	0.341356i	0.00114288	−	0.0117990i
$838$	−21.6865			−0.749147
$839$	27.5802	−	23.1426i	0.952175	−	0.798970i	−0.0274875	−	0.999622i	$-0.508751\pi$
$839$	27.5802	−	23.1426i	0.952175	−	0.798970i	0.979662	+	0.200652i	$0.0643062\pi$
$840$	6.92431	−	0.180008i	0.238911	−	0.00621086i
$841$	−3.83097	+	21.7265i	−0.132102	+	0.749190i
$842$	93.4724	−	34.0212i	3.22127	−	1.17245i
$843$	5.26443	+	25.9006i	0.181317	+	0.892064i
$844$	7.78786	+	44.1671i	0.268069	+	1.52030i
$845$	2.05554	+	3.56030i	0.0707127	+	0.122478i
$846$	−70.1679	+	29.7532i	−2.41242	+	1.02293i
$847$	−0.604456	+	1.04695i	−0.0207694	+	0.0359736i
$848$	−26.0450	−	9.47962i	−0.894390	−	0.325531i
$849$	−2.02385	+	13.5244i	−0.0694583	+	0.464155i
$850$	−30.3526	−	25.4689i	−1.04109	−	0.873576i
$851$	5.71507	+	4.79551i	0.195910	+	0.164388i
$852$	6.40168	−	42.7792i	0.219318	−	1.46559i
$853$	7.11389	+	2.58925i	0.243575	+	0.0886541i	0.460923	−	0.887440i	$-0.347518\pi$
$853$	7.11389	+	2.58925i	0.243575	+	0.0886541i	−0.217348	+	0.976094i	$0.569741\pi$
$854$	1.03851	−	1.79876i	0.0355372	−	0.0615522i
$855$	0.528651	−	0.224163i	0.0180795	−	0.00766621i
$856$	18.5385	+	32.1096i	0.633633	+	1.09748i
$857$	5.91906	+	33.5687i	0.202191	+	1.14668i	0.901799	+	0.432156i	$0.142247\pi$
$857$	5.91906	+	33.5687i	0.202191	+	1.14668i	−0.699607	+	0.714527i	$0.746642\pi$
$858$	3.77555	+	18.5754i	0.128895	+	0.634154i
$859$	6.18278	−	2.25035i	0.210954	−	0.0767809i	−0.234382	−	0.972145i	$-0.575307\pi$
$859$	6.18278	−	2.25035i	0.210954	−	0.0767809i	0.445336	+	0.895364i	$0.353084\pi$
$860$	−4.57649	+	25.9546i	−0.156057	+	0.885043i
$861$	−20.2127	+	0.525460i	−0.688848	+	0.0179076i
$862$	−78.2449	+	65.6553i	−2.66503	+	2.23623i
$863$	−7.19930			−0.245067			−0.122533	−	0.992464i	$-0.539102\pi$
$863$	−7.19930			−0.245067			−0.122533	+	0.992464i	$0.539102\pi$
$864$	6.16835	−	2.80685i	0.209852	−	0.0954910i
$865$	5.46918			0.185958
$866$	−49.7246	+	41.7239i	−1.68971	+	1.41784i
$867$	−4.06829	+	7.48948i	−0.138166	+	0.254356i
$868$	−0.0571901	+	0.324341i	−0.00194116	+	0.0110089i
$869$	3.87490	−	1.41035i	0.131447	−	0.0478428i
$870$	5.31356	−	4.69925i	0.180147	−	0.159320i
$871$	−4.42994	−	25.1234i	−0.150103	−	0.851276i
$872$	−19.2180	−	33.2865i	−0.650803	−	1.12722i
$873$	1.20531	−	1.12312i	0.0407937	−	0.0380118i
$874$	−2.18667	+	3.78743i	−0.0739653	+	0.128112i
$875$	−6.85366	−	2.49453i	−0.231696	−	0.0843305i
$876$	−90.7961	−	72.2506i	−3.06772	−	2.44112i
$877$	−23.5530	−	19.7633i	−0.795327	−	0.667358i	0.151731	−	0.988422i	$-0.451515\pi$
$877$	−23.5530	−	19.7633i	−0.795327	−	0.667358i	−0.947058	+	0.321063i	$0.895960\pi$
$878$	9.14446	+	7.67312i	0.308611	+	0.258955i
$879$	48.0362	−	18.9115i	1.62022	−	0.637868i
$880$	2.82249	+	1.02730i	0.0951461	+	0.0346303i
$881$	−0.907355	+	1.57158i	−0.0305696	+	0.0529480i	−0.880905	−	0.473292i	$-0.843065\pi$
$881$	−0.907355	+	1.57158i	−0.0305696	+	0.0529480i	0.850336	+	0.526240i	$0.176399\pi$
$882$	22.3881	+	34.5033i	0.753848	+	1.16179i
$883$	−3.58439	−	6.20835i	−0.120624	−	0.208928i	0.799390	−	0.600813i	$-0.205156\pi$
$883$	−3.58439	−	6.20835i	−0.120624	−	0.208928i	−0.920014	+	0.391885i	$0.871823\pi$
$884$	−11.0132	−	62.4589i	−0.370414	−	2.10072i
$885$	−8.04513	−	2.69356i	−0.270434	−	0.0905430i
$886$	−57.8260	+	21.0470i	−1.94270	+	0.707086i
$887$	−8.91856	+	50.5797i	−0.299456	+	1.69830i	0.349062	+	0.937100i	$0.386500\pi$
$887$	−8.91856	+	50.5797i	−0.299456	+	1.69830i	−0.648518	+	0.761199i	$0.724611\pi$
$888$	6.13180	+	10.0104i	0.205770	+	0.335928i
$889$	12.3225	−	10.3398i	0.413283	−	0.346785i
$890$	22.8163			0.764803
$891$	2.47418	+	8.65323i	0.0828883	+	0.289894i
$892$	70.8429			2.37200
$893$	2.39584	−	2.01035i	0.0801738	−	0.0672738i
$894$	−52.2613	−	85.3189i	−1.74788	−	2.85349i
$895$	0.272766	−	1.54693i	0.00911757	−	0.0517083i
$896$	20.7801	−	7.56333i	0.694214	−	0.252673i
$897$	−42.0968	−	14.0942i	−1.40557	−	0.470593i
$898$	2.20032	+	12.4786i	0.0734257	+	0.416418i
$899$	0.0869263	+	0.150561i	0.00289915	+	0.00502148i
$900$	−56.9526	+	2.96314i	−1.89842	+	0.0987712i
$901$	−10.0717	+	17.4447i	−0.335538	+	0.581168i
$902$	−22.4620	−	8.17551i	−0.747904	−	0.272215i
$903$	19.8063	−	7.79758i	0.659112	−	0.259487i
$904$	−54.9591	−	46.1162i	−1.82791	−	1.53380i
$905$	1.18726	+	0.996231i	0.0394659	+	0.0331158i
$906$	−58.2414	−	46.3453i	−1.93494	−	1.53972i
$907$	40.2346	+	14.6442i	1.33597	+	0.486252i	0.908540	−	0.417798i	$-0.137198\pi$
$907$	40.2346	+	14.6442i	1.33597	+	0.486252i	0.427427	+	0.904050i	$0.359420\pi$
$908$	−33.6297	+	58.2484i	−1.11604	+	1.93304i
$909$	−12.7347	−	3.89866i	−0.422383	−	0.129310i
$910$	−4.15485	−	7.19641i	−0.137732	−	0.238559i
$911$	0.755354	+	4.28383i	0.0250260	+	0.141929i	0.994761	−	0.102232i	$-0.0325984\pi$
$911$	0.755354	+	4.28383i	0.0250260	+	0.141929i	−0.969735	+	0.244161i	$0.921487\pi$
$912$	−1.89079	+	1.67219i	−0.0626103	+	0.0553718i
$913$	−7.87950	+	2.86790i	−0.260773	+	0.0949138i
$914$	−5.97875	+	33.9072i	−0.197759	+	1.12155i
$915$	0.360410	−	0.663494i	0.0119148	−	0.0219344i
$916$	14.3107	−	12.0081i	0.472839	−	0.396759i
$917$	−13.0814			−0.431987
$918$	−11.1684	−	43.2865i	−0.368613	−	1.42867i
$919$	49.2751			1.62543			0.812717	−	0.582658i	$-0.197987\pi$
$919$	49.2751			1.62543			0.812717	+	0.582658i	$0.197987\pi$
$920$	−14.6913	+	12.3274i	−0.484357	+	0.406424i
$921$	5.74828	−	0.149435i	0.189412	−	0.00492405i
$922$	10.6059	−	60.1491i	0.349287	−	1.98090i
$923$	−25.1354	+	9.14855i	−0.827343	+	0.301128i
$924$	−1.72151	−	8.46968i	−0.0566334	−	0.278632i
$925$	−1.02915	−	5.83658i	−0.0338382	−	0.191906i
$926$	−33.1921	−	57.4904i	−1.09076	−	1.88925i
$927$	−4.42959	+	35.9636i	−0.145487	+	1.18120i
$928$	−1.71771	+	2.97516i	−0.0563866	+	0.0976644i
$929$	46.8085	+	17.0369i	1.53574	+	0.558962i	0.965018	−	0.262184i	$-0.0844427\pi$
$929$	46.8085	+	17.0369i	1.53574	+	0.558962i	0.570718	+	0.821146i	$0.306665\pi$
$930$	−0.0263048	+	0.175782i	−0.000862568	+	0.00576411i
$931$	−1.29294	−	1.08491i	−0.0423744	−	0.0355563i
$932$	−34.2497	−	28.7390i	−1.12189	−	0.941376i
$933$	2.31472	−	15.4681i	0.0757804	−	0.506403i
$934$	−32.4526	−	11.8118i	−1.06188	−	0.386493i
$935$	1.09147	−	1.89048i	0.0356948	−	0.0618252i
$936$	−55.7717	−	42.0601i	−1.82295	−	1.37478i
$937$	12.9272	+	22.3906i	0.422314	+	0.731469i	0.996165	−	0.0874902i	$-0.0278847\pi$
$937$	12.9272	+	22.3906i	0.422314	+	0.731469i	−0.573851	+	0.818959i	$0.694551\pi$
$938$	2.99859	+	17.0059i	0.0979075	+	0.555261i
$939$	−8.03332	−	39.5233i	−0.262158	−	1.28980i
$940$	25.0026	−	9.10020i	0.815494	−	0.296816i
$941$	4.89585	−	27.7657i	0.159600	−	0.905137i	−0.794859	−	0.606795i	$-0.792455\pi$
$941$	4.89585	−	27.7657i	0.159600	−	0.905137i	0.954459	−	0.298343i	$-0.0964338\pi$
$942$	28.3227	−	0.736290i	0.922802	−	0.0239896i
$943$	42.8852	−	35.9850i	1.39654	−	1.17183i
$944$	37.2946			1.21384
$945$	−2.23289	−	3.25283i	−0.0726360	−	0.105815i
$946$	25.1643			0.818161
$947$	−16.5424	+	13.8807i	−0.537555	+	0.451063i	−0.870701	−	0.491813i	$-0.836334\pi$
$947$	−16.5424	+	13.8807i	−0.537555	+	0.451063i	0.333145	+	0.942875i	$0.391890\pi$
$948$	−14.0719	+	25.9055i	−0.457033	+	0.841371i
$949$	−12.4600	+	70.6641i	−0.404468	+	2.29385i
$950$	3.26467	−	1.18824i	0.105920	−	0.0385517i
$951$	−7.74280	+	6.84764i	−0.251077	+	0.222050i
$952$	3.84264	+	21.7927i	0.124541	+	0.706305i
$953$	−7.82665	−	13.5562i	−0.253530	−	0.439127i	0.710965	−	0.703227i	$-0.248258\pi$
$953$	−7.82665	−	13.5562i	−0.253530	−	0.439127i	−0.964495	+	0.264100i	$0.914925\pi$
$954$	9.66625	+	41.9416i	0.312956	+	1.35791i
$955$	−7.03343	+	12.1823i	−0.227596	+	0.394209i
$956$	−27.4234	−	9.98130i	−0.886936	−	0.322818i
$957$	−3.56999	−	2.84080i	−0.115401	−	0.0918301i
$958$	3.41018	+	2.86148i	0.110178	+	0.0924502i
$959$	7.30755	+	6.13176i	0.235973	+	0.198005i
$960$	6.41353	−	2.52495i	0.206996	−	0.0814926i
$961$	29.1264	+	10.6011i	0.939561	+	0.341972i
$962$	7.04156	−	12.1963i	0.227029	−	0.393226i
$963$	9.59509	−	18.8138i	0.309198	−	0.606267i
$964$	21.3692	+	37.0126i	0.688256	+	1.19209i
$965$	2.58808	+	14.6777i	0.0833132	+	0.472493i
$966$	28.4950	+	9.54029i	0.916811	+	0.306954i
$967$	13.8863	−	5.05420i	0.446554	−	0.162532i	−0.108948	−	0.994047i	$-0.534748\pi$
$967$	13.8863	−	5.05420i	0.446554	−	0.162532i	0.555502	+	0.831515i	$0.312526\pi$
$968$	0.914568	−	5.18677i	0.0293953	−	0.166709i
$969$	0.958209	+	1.56432i	0.0307821	+	0.0502532i
$970$	−0.654065	+	0.548826i	−0.0210008	+	0.0176217i
$971$	12.4319			0.398959			0.199480	−	0.979902i	$-0.436075\pi$
$971$	12.4319			0.398959			0.199480	+	0.979902i	$0.436075\pi$
$972$	−54.2341	−	34.6231i	−1.73956	−	1.11054i
$973$	24.9327			0.799307
$974$	−27.1677	+	22.7964i	−0.870510	+	0.730445i
$975$	18.4209	+	30.0729i	0.589940	+	0.963104i
$976$	−0.576361	+	3.26871i	−0.0184489	+	0.104629i
$977$	35.9522	−	13.0855i	1.15021	−	0.418644i	0.304622	−	0.952473i	$-0.401470\pi$
$977$	35.9522	−	13.0855i	1.15021	−	0.418644i	0.845592	+	0.533830i	$0.179248\pi$
$978$	−84.3761	−	28.2496i	−2.69805	−	0.903323i
$979$	−2.54827	−	14.4520i	−0.0814432	−	0.461887i
$980$	−7.17942	−	12.4351i	−0.229338	−	0.397225i
$981$	−9.94678	+	19.5034i	−0.317576	+	0.622696i
$982$	−5.35234	+	9.27052i	−0.170800	+	0.295834i
$983$	6.52994	+	2.37670i	0.208273	+	0.0758050i	0.444050	−	0.896002i	$-0.353541\pi$
$983$	6.52994	+	2.37670i	0.208273	+	0.0758050i	−0.235777	+	0.971807i	$0.575764\pi$
$984$	81.9659	−	32.2693i	2.61298	−	1.02871i
$985$	3.57606	+	3.00067i	0.113943	+	0.0956093i
$986$	17.3599	+	14.5667i	0.552852	+	0.463898i
$987$	−16.8155	−	13.3808i	−0.535242	−	0.425916i
$988$	5.22564	+	1.90198i	0.166250	+	0.0605100i
$989$	−29.4676	+	51.0394i	−0.937016	+	1.62296i
$990$	−1.04753	−	4.54519i	−0.0332926	−	0.144456i
$991$	19.6175	+	33.9785i	0.623170	+	1.07936i	0.988892	+	0.148638i	$0.0474889\pi$
$991$	19.6175	+	33.9785i	0.623170	+	1.07936i	−0.365722	+	0.930724i	$0.619178\pi$
$992$	−0.0149477	−	0.0847729i	−0.000474591	−	0.00269154i
$993$	−14.2242	+	12.5797i	−0.451390	+	0.399204i
$994$	17.0140	−	6.19259i	0.539651	−	0.196417i
$995$	−2.85959	+	16.2175i	−0.0906551	+	0.514131i
$996$	28.6148	−	52.6780i	0.906693	−	1.66917i
$997$	−14.1545	+	11.8770i	−0.448276	+	0.376149i	−0.838796	−	0.544446i	$-0.816740\pi$
$997$	−14.1545	+	11.8770i	−0.448276	+	0.376149i	0.390519	+	0.920595i	$0.372295\pi$
$998$	−103.214			−3.26717
$999$	2.88213	−	6.03369i	0.0911865	−	0.190897i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	297.2.j.c.265.16	yes	102
3.2	odd	2		891.2.j.c.199.2		102
27.4	even	9		8019.2.a.l.1.47		51
27.11	odd	18		891.2.j.c.694.2		102
27.16	even	9	inner	297.2.j.c.232.16	✓	102
27.23	odd	18		8019.2.a.k.1.5		51

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
297.2.j.c.232.16	✓	102	27.16	even	9	inner
297.2.j.c.265.16	yes	102	1.1	even	1	trivial
891.2.j.c.199.2		102	3.2	odd	2
891.2.j.c.694.2		102	27.11	odd	18
8019.2.a.k.1.5		51	27.23	odd	18
8019.2.a.l.1.47		51	27.4	even	9

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:	\( N \)	\(=\)	\( 297 = 3^{3} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	297.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(1.89627 - 1.59116i) q^{2} +(0.904714 + 1.47699i) q^{3} +(0.716758 - 4.06494i) q^{4} +(0.590212 - 0.214820i) q^{5} +(4.06571 + 1.36122i) q^{6} +(0.209925 + 1.19055i) q^{7} +(-2.63339 - 4.56117i) q^{8} +(-1.36298 + 2.67250i) q^{9} +O(q^{10})\)	\(q+(1.89627 - 1.59116i) q^{2} +(0.904714 + 1.47699i) q^{3} +(0.716758 - 4.06494i) q^{4} +(0.590212 - 0.214820i) q^{5} +(4.06571 + 1.36122i) q^{6} +(0.209925 + 1.19055i) q^{7} +(-2.63339 - 4.56117i) q^{8} +(-1.36298 + 2.67250i) q^{9} +(0.777390 - 1.34648i) q^{10} +(-0.939693 - 0.342020i) q^{11} +(6.65232 - 2.61896i) q^{12} +(-3.38669 - 2.84177i) q^{13} +(2.29243 + 1.92357i) q^{14} +(0.851259 + 0.677385i) q^{15} +(-4.49376 - 1.63560i) q^{16} +(-1.73776 + 3.00988i) q^{17} +(1.66780 + 7.23652i) q^{18} +(-0.152370 - 0.263913i) q^{19} +(-0.450189 - 2.55315i) q^{20} +(-1.56850 + 1.38716i) q^{21} +(-2.32612 + 0.846639i) q^{22} +(1.00672 - 5.70938i) q^{23} +(4.35432 - 8.01605i) q^{24} +(-3.52802 + 2.96036i) q^{25} -10.9438 q^{26} +(-5.18037 + 0.404743i) q^{27} +4.98996 q^{28} +(2.01782 - 1.69315i) q^{29} +(2.69205 - 0.0699838i) q^{30} +(-0.0114610 + 0.0649987i) q^{31} +(-1.22557 + 0.446071i) q^{32} +(-0.344994 - 1.69734i) q^{33} +(1.49395 + 8.47261i) q^{34} +(0.379653 + 0.657578i) q^{35} +(9.88663 + 7.45598i) q^{36} +(-0.643429 + 1.11445i) q^{37} +(-0.708863 - 0.258005i) q^{38} +(1.13327 - 7.57309i) q^{39} +(-2.53409 - 2.12635i) q^{40} +(7.39725 + 6.20703i) q^{41} +(-0.767103 + 5.12617i) q^{42} +(-9.55264 - 3.47688i) q^{43} +(-2.06382 + 3.57465i) q^{44} +(-0.230343 + 1.87014i) q^{45} +(-7.17553 - 12.4284i) q^{46} +(1.78215 + 10.1071i) q^{47} +(-1.64982 - 8.11698i) q^{48} +(5.20452 - 1.89429i) q^{49} +(-1.97968 + 11.2273i) q^{50} +(-6.01773 + 0.156440i) q^{51} +(-13.9791 + 11.7298i) q^{52} +5.79582 q^{53} +(-9.17937 + 9.01030i) q^{54} -0.628090 q^{55} +(4.87747 - 4.09268i) q^{56} +(0.251944 - 0.463814i) q^{57} +(1.13226 - 6.42134i) q^{58} +(-7.32837 + 2.66731i) q^{59} +(3.36367 - 2.97479i) q^{60} +(-0.120523 - 0.683521i) q^{61} +(0.0816903 + 0.141492i) q^{62} +(-3.46786 - 1.06167i) q^{63} +(3.16792 - 5.48700i) q^{64} +(-2.60933 - 0.949720i) q^{65} +(-3.35495 - 2.66969i) q^{66} +(4.42038 + 3.70914i) q^{67} +(10.9894 + 9.22122i) q^{68} +(9.34347 - 3.67845i) q^{69} +(1.76624 + 0.642858i) q^{70} +(3.02516 - 5.23974i) q^{71} +(15.7790 - 0.820953i) q^{72} +(-8.11513 - 14.0558i) q^{73} +(0.553156 + 3.13710i) q^{74} +(-7.56426 - 2.53256i) q^{75} +(-1.18200 + 0.430213i) q^{76} +(0.209925 - 1.19055i) q^{77} +(-9.90102 - 16.1639i) q^{78} +(-3.15885 + 2.65059i) q^{79} -3.00363 q^{80} +(-5.28455 - 7.28516i) q^{81} +23.9036 q^{82} +(6.42343 - 5.38990i) q^{83} +(4.51449 + 7.37011i) q^{84} +(-0.379063 + 2.14977i) q^{85} +(-23.6467 + 8.60669i) q^{86} +(4.32631 + 1.44847i) q^{87} +(0.914568 + 5.18677i) q^{88} +(7.33746 + 12.7089i) q^{89} +(2.53890 + 3.91281i) q^{90} +(2.67231 - 4.62857i) q^{91} +(-22.4867 - 8.18448i) q^{92} +(-0.106371 + 0.0418775i) q^{93} +(19.4615 + 16.3301i) q^{94} +(-0.146624 - 0.123032i) q^{95} +(-1.76763 - 1.40658i) q^{96} +(-0.516040 - 0.187823i) q^{97} +(6.85506 - 11.8733i) q^{98} +(2.19484 - 2.04516i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 102 q - 6 q^{5} - 21 q^{6}+O(q^{10}) \) 102 * q - 6 * q^5 - 21 * q^6	\( 102 q - 6 q^{5} - 21 q^{6} - 18 q^{10} - 9 q^{12} - 21 q^{14} - 27 q^{15} - 33 q^{18} - 30 q^{19} + 27 q^{20} + 18 q^{21} - 12 q^{23} + 105 q^{24} - 6 q^{25} + 18 q^{26} - 39 q^{27} + 72 q^{28} - 18 q^{29} + 36 q^{30} - 12 q^{31} + 96 q^{32} - 3 q^{33} - 24 q^{34} + 9 q^{35} + 39 q^{36} - 48 q^{37} - 15 q^{38} + 90 q^{40} - 54 q^{42} + 30 q^{43} - 60 q^{44} - 75 q^{45} - 42 q^{46} - 30 q^{47} - 39 q^{48} - 36 q^{49} + 66 q^{50} + 30 q^{51} - 84 q^{52} + 36 q^{53} - 36 q^{54} + 12 q^{55} - 48 q^{56} - 15 q^{57} - 75 q^{58} - 42 q^{59} - 84 q^{60} - 42 q^{61} + 105 q^{63} - 114 q^{64} - 57 q^{65} + 54 q^{67} - 6 q^{68} + 204 q^{70} - 30 q^{71} - 90 q^{72} - 69 q^{73} - 117 q^{74} - 72 q^{75} - 60 q^{76} + 189 q^{78} - 18 q^{79} + 84 q^{80} - 60 q^{81} + 84 q^{82} - 6 q^{83} - 72 q^{84} - 39 q^{85} - 132 q^{86} - 69 q^{87} - 9 q^{88} - 15 q^{89} + 138 q^{90} - 69 q^{91} + 102 q^{92} + 108 q^{93} + 123 q^{94} + 66 q^{95} - 117 q^{96} + 66 q^{97} + 57 q^{98}+O(q^{100}) \) 102 * q - 6 * q^5 - 21 * q^6 - 18 * q^10 - 9 * q^12 - 21 * q^14 - 27 * q^15 - 33 * q^18 - 30 * q^19 + 27 * q^20 + 18 * q^21 - 12 * q^23 + 105 * q^24 - 6 * q^25 + 18 * q^26 - 39 * q^27 + 72 * q^28 - 18 * q^29 + 36 * q^30 - 12 * q^31 + 96 * q^32 - 3 * q^33 - 24 * q^34 + 9 * q^35 + 39 * q^36 - 48 * q^37 - 15 * q^38 + 90 * q^40 - 54 * q^42 + 30 * q^43 - 60 * q^44 - 75 * q^45 - 42 * q^46 - 30 * q^47 - 39 * q^48 - 36 * q^49 + 66 * q^50 + 30 * q^51 - 84 * q^52 + 36 * q^53 - 36 * q^54 + 12 * q^55 - 48 * q^56 - 15 * q^57 - 75 * q^58 - 42 * q^59 - 84 * q^60 - 42 * q^61 + 105 * q^63 - 114 * q^64 - 57 * q^65 + 54 * q^67 - 6 * q^68 + 204 * q^70 - 30 * q^71 - 90 * q^72 - 69 * q^73 - 117 * q^74 - 72 * q^75 - 60 * q^76 + 189 * q^78 - 18 * q^79 + 84 * q^80 - 60 * q^81 + 84 * q^82 - 6 * q^83 - 72 * q^84 - 39 * q^85 - 132 * q^86 - 69 * q^87 - 9 * q^88 - 15 * q^89 + 138 * q^90 - 69 * q^91 + 102 * q^92 + 108 * q^93 + 123 * q^94 + 66 * q^95 - 117 * q^96 + 66 * q^97 + 57 * q^98

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