LMFDB - Embedded newform 98.2.e.a.85.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([10]))

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

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, 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:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
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} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} + \cdots + 729 $ x^18 - 6x^17 + 15x^16 - 23x^15 + 72x^14 - 85x^13 + 432x^12 - 282x^11 + 1786x^10 - 1092x^9 + 7272x^8 - 10168x^7 + 25378x^6 - 43359x^5 + 57726x^4 - 56565x^3 + 38232x^2 - 6804*x + 729
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 7 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			85.1
Root			$-1.30651 - 1.63831i$ of defining polynomial
Character	$\chi$	$=$	98.85
Dual form			98.2.e.a.15.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.222521 - 0.974928i) q^{2} +(-0.683017 - 0.856476i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-1.25326 - 1.57153i) q^{5} +(-0.683017 + 0.856476i) q^{6} +(-0.413525 - 2.61324i) q^{7} +(0.623490 + 0.781831i) q^{8} +(0.400524 - 1.75481i) q^{9} +O(q^{10})$	\(q+(-0.222521 - 0.974928i) q^{2} +(-0.683017 - 0.856476i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-1.25326 - 1.57153i) q^{5} +(-0.683017 + 0.856476i) q^{6} +(-0.413525 - 2.61324i) q^{7} +(0.623490 + 0.781831i) q^{8} +(0.400524 - 1.75481i) q^{9} +(-1.25326 + 1.57153i) q^{10} +(1.37986 + 6.04554i) q^{11} +(0.986987 + 0.475308i) q^{12} +(-0.794525 - 3.48104i) q^{13} +(-2.45570 + 0.984656i) q^{14} +(-0.489985 + 2.14677i) q^{15} +(0.623490 - 0.781831i) q^{16} +(1.98657 + 0.956684i) q^{17} -1.79994 q^{18} +8.01131 q^{19} +(1.81101 + 0.872135i) q^{20} +(-1.95573 + 2.13906i) q^{21} +(5.58692 - 2.69052i) q^{22} +(-1.24680 + 0.600425i) q^{23} +(0.243766 - 1.06801i) q^{24} +(0.213538 - 0.935573i) q^{25} +(-3.21697 + 1.54921i) q^{26} +(-4.73748 + 2.28145i) q^{27} +(1.50641 + 2.17502i) q^{28} +(4.97522 + 2.39594i) q^{29} +2.20197 q^{30} -3.29945 q^{31} +(-0.900969 - 0.433884i) q^{32} +(4.23539 - 5.31102i) q^{33} +(0.490643 - 2.14965i) q^{34} +(-3.58853 + 3.92492i) q^{35} +(0.400524 + 1.75481i) q^{36} +(1.26978 + 0.611493i) q^{37} +(-1.78268 - 7.81045i) q^{38} +(-2.43875 + 3.05810i) q^{39} +(0.447282 - 1.95967i) q^{40} +(-3.94881 - 4.95166i) q^{41} +(2.52062 + 1.43071i) q^{42} +(-4.02077 + 5.04189i) q^{43} +(-3.86627 - 4.84815i) q^{44} +(-3.25970 + 1.56979i) q^{45} +(0.862810 + 1.08193i) q^{46} +(-0.417416 - 1.82882i) q^{47} -1.09547 q^{48} +(-6.65799 + 2.16127i) q^{49} -0.959633 q^{50} +(-0.537487 - 2.35488i) q^{51} +(2.22621 + 2.79158i) q^{52} +(4.33172 - 2.08605i) q^{53} +(3.27844 + 4.11103i) q^{54} +(7.77146 - 9.74510i) q^{55} +(1.78528 - 1.95263i) q^{56} +(-5.47186 - 6.86149i) q^{57} +(1.22878 - 5.38363i) q^{58} +(-2.43368 + 3.05174i) q^{59} +(-0.489985 - 2.14677i) q^{60} +(-0.977222 - 0.470605i) q^{61} +(0.734196 + 3.21672i) q^{62} +(-4.75136 - 0.321006i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(-4.47483 + 5.61126i) q^{65} +(-6.12032 - 2.94739i) q^{66} +12.9613 q^{67} -2.20493 q^{68} +(1.36583 + 0.657750i) q^{69} +(4.62504 + 2.62518i) q^{70} +(-6.72701 + 3.23956i) q^{71} +(1.62169 - 0.780964i) q^{72} +(-0.576573 + 2.52613i) q^{73} +(0.313610 - 1.37401i) q^{74} +(-0.947146 + 0.456121i) q^{75} +(-7.21794 + 3.47598i) q^{76} +(15.2278 - 6.10587i) q^{77} +(3.52410 + 1.69712i) q^{78} +11.2929 q^{79} -2.01007 q^{80} +(0.324718 + 0.156376i) q^{81} +(-3.94881 + 4.95166i) q^{82} +(-1.21556 + 5.32572i) q^{83} +(0.833948 - 2.77578i) q^{84} +(-0.986226 - 4.32094i) q^{85} +(5.81018 + 2.79804i) q^{86} +(-1.34609 - 5.89762i) q^{87} +(-3.86627 + 4.84815i) q^{88} +(-2.13857 + 9.36969i) q^{89} +(2.25578 + 2.82866i) q^{90} +(-8.76822 + 3.51578i) q^{91} +(0.862810 - 1.08193i) q^{92} +(2.25358 + 2.82590i) q^{93} +(-1.69008 + 0.813901i) q^{94} +(-10.0402 - 12.5900i) q^{95} +(0.243766 + 1.06801i) q^{96} +10.3853 q^{97} +(3.58863 + 6.01014i) q^{98} +11.1614 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{2}{7}\right)$

Coefficient data

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

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

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

$2$	−0.222521	−	0.974928i	−0.157346	−	0.689378i
$2$	−0.222521	−	0.974928i	−0.157346	−	0.689378i
$3$	−0.683017	−	0.856476i	−0.394340	−	0.494486i	0.544538	−	0.838736i	$-0.316705\pi$
$3$	−0.683017	−	0.856476i	−0.394340	−	0.494486i	−0.938878	+	0.344249i	$0.888133\pi$
$4$	−0.900969	+	0.433884i	−0.450484	+	0.216942i
$5$	−1.25326	−	1.57153i	−0.560473	−	0.702811i	0.418172	−	0.908368i	$-0.362671\pi$
$5$	−1.25326	−	1.57153i	−0.560473	−	0.702811i	−0.978645	+	0.205557i	$0.934099\pi$
$6$	−0.683017	+	0.856476i	−0.278840	+	0.349655i
$7$	−0.413525	−	2.61324i	−0.156298	−	0.987710i
$7$	−0.413525	−	2.61324i	−0.156298	−	0.987710i
$8$	0.623490	+	0.781831i	0.220437	+	0.276419i
$9$	0.400524	−	1.75481i	0.133508	−	0.584937i
$10$	−1.25326	+	1.57153i	−0.396314	+	0.496962i
$11$	1.37986	+	6.04554i	0.416042	+	1.82280i	0.554193	+	0.832388i	$0.313027\pi$
$11$	1.37986	+	6.04554i	0.416042	+	1.82280i	−0.138151	+	0.990411i	$0.544116\pi$
$12$	0.986987	+	0.475308i	0.284919	+	0.137210i
$13$	−0.794525	−	3.48104i	−0.220362	−	0.965467i	−0.957207	−	0.289405i	$-0.906542\pi$
$13$	−0.794525	−	3.48104i	−0.220362	−	0.965467i	0.736845	−	0.676062i	$-0.236315\pi$
$14$	−2.45570	+	0.984656i	−0.656313	+	0.263160i
$15$	−0.489985	+	2.14677i	−0.126514	+	0.554293i
$16$	0.623490	−	0.781831i	0.155872	−	0.195458i
$17$	1.98657	+	0.956684i	0.481815	+	0.232030i	0.658993	−	0.752149i	$-0.270983\pi$
$17$	1.98657	+	0.956684i	0.481815	+	0.232030i	−0.177178	+	0.984179i	$0.556697\pi$
$18$	−1.79994			−0.424249
$19$	8.01131			1.83792			0.918960	−	0.394350i	$-0.129030\pi$
$19$	8.01131			1.83792			0.918960	+	0.394350i	$0.129030\pi$
$20$	1.81101	+	0.872135i	0.404954	+	0.195015i
$21$	−1.95573	+	2.13906i	−0.426775	+	0.466780i
$22$	5.58692	−	2.69052i	1.19114	−	0.573621i
$23$	−1.24680	+	0.600425i	−0.259975	+	0.125197i	−0.559332	−	0.828944i	$-0.688942\pi$
$23$	−1.24680	+	0.600425i	−0.259975	+	0.125197i	0.299357	+	0.954141i	$0.403228\pi$
$24$	0.243766	−	1.06801i	0.0497585	−	0.218006i
$25$	0.213538	−	0.935573i	0.0427077	−	0.187115i
$26$	−3.21697	+	1.54921i	−0.630899	+	0.303825i
$27$	−4.73748	+	2.28145i	−0.911728	+	0.439065i
$28$	1.50641	+	2.17502i	0.284685	+	0.411040i
$29$	4.97522	+	2.39594i	0.923875	+	0.444915i	0.834453	−	0.551079i	$-0.185784\pi$
$29$	4.97522	+	2.39594i	0.923875	+	0.444915i	0.0894220	+	0.995994i	$0.471498\pi$
$30$	2.20197			0.402024
$31$	−3.29945			−0.592598			−0.296299	−	0.955095i	$-0.595753\pi$
$31$	−3.29945			−0.592598			−0.296299	+	0.955095i	$0.595753\pi$
$32$	−0.900969	−	0.433884i	−0.159270	−	0.0767005i
$33$	4.23539	−	5.31102i	0.737288	−	0.924529i
$34$	0.490643	−	2.14965i	0.0841447	−	0.368662i
$35$	−3.58853	+	3.92492i	−0.606573	+	0.663433i
$36$	0.400524	+	1.75481i	0.0667540	+	0.292468i
$37$	1.26978	+	0.611493i	0.208750	+	0.100529i	0.535338	−	0.844638i	$-0.320184\pi$
$37$	1.26978	+	0.611493i	0.208750	+	0.100529i	−0.326587	+	0.945167i	$0.605899\pi$
$38$	−1.78268	−	7.81045i	−0.289190	−	1.26702i
$39$	−2.43875	+	3.05810i	−0.390513	+	0.489688i
$40$	0.447282	−	1.95967i	0.0707215	−	0.309851i
$41$	−3.94881	−	4.95166i	−0.616701	−	0.773319i	0.371175	−	0.928563i	$-0.378955\pi$
$41$	−3.94881	−	4.95166i	−0.616701	−	0.773319i	−0.987876	+	0.155244i	$0.950384\pi$
$42$	2.52062	+	1.43071i	0.388940	+	0.220763i
$43$	−4.02077	+	5.04189i	−0.613162	+	0.768881i	−0.987364	−	0.158466i	$-0.949345\pi$
$43$	−4.02077	+	5.04189i	−0.613162	+	0.768881i	0.374202	+	0.927347i	$0.377917\pi$
$44$	−3.86627	−	4.84815i	−0.582862	−	0.730886i
$45$	−3.25970	+	1.56979i	−0.485927	+	0.234010i
$46$	0.862810	+	1.08193i	0.127214	+	0.159522i
$47$	−0.417416	−	1.82882i	−0.0608864	−	0.266761i	0.935318	−	0.353809i	$-0.115114\pi$
$47$	−0.417416	−	1.82882i	−0.0608864	−	0.266761i	−0.996204	+	0.0870483i	$0.972257\pi$
$48$	−1.09547			−0.158118
$49$	−6.65799	+	2.16127i	−0.951142	+	0.308753i
$50$	−0.959633			−0.135713
$51$	−0.537487	−	2.35488i	−0.0752632	−	0.329750i
$52$	2.22621	+	2.79158i	0.308720	+	0.387122i
$53$	4.33172	−	2.08605i	0.595008	−	0.286541i	−0.112043	−	0.993703i	$-0.535739\pi$
$53$	4.33172	−	2.08605i	0.595008	−	0.286541i	0.707051	+	0.707163i	$0.250025\pi$
$54$	3.27844	+	4.11103i	0.446139	+	0.559440i
$55$	7.77146	−	9.74510i	1.04790	−	1.31403i
$56$	1.78528	−	1.95263i	0.238568	−	0.260931i
$57$	−5.47186	−	6.86149i	−0.724765	−	0.908827i
$58$	1.22878	−	5.38363i	0.161346	−	0.706905i
$59$	−2.43368	+	3.05174i	−0.316838	+	0.397303i	−0.914593	−	0.404377i	$-0.867488\pi$
$59$	−2.43368	+	3.05174i	−0.316838	+	0.397303i	0.597754	+	0.801680i	$0.296060\pi$
$60$	−0.489985	−	2.14677i	−0.0632568	−	0.277146i
$61$	−0.977222	−	0.470605i	−0.125120	−	0.0602548i	0.370276	−	0.928922i	$-0.379263\pi$
$61$	−0.977222	−	0.470605i	−0.125120	−	0.0602548i	−0.495397	+	0.868667i	$0.664977\pi$
$62$	0.734196	+	3.21672i	0.0932430	+	0.408524i
$63$	−4.75136	−	0.321006i	−0.598615	−	0.0404430i
$64$	−0.222521	+	0.974928i	−0.0278151	+	0.121866i
$65$	−4.47483	+	5.61126i	−0.555034	+	0.695991i
$66$	−6.12032	−	2.94739i	−0.753360	−	0.362799i
$67$	12.9613			1.58348			0.791740	−	0.610858i	$-0.209175\pi$
$67$	12.9613			1.58348			0.791740	+	0.610858i	$0.209175\pi$
$68$	−2.20493			−0.267387
$69$	1.36583	+	0.657750i	0.164427	+	0.0791838i
$70$	4.62504	+	2.62518i	0.552798	+	0.313770i
$71$	−6.72701	+	3.23956i	−0.798349	+	0.384465i	−0.788150	−	0.615483i	$-0.788961\pi$
$71$	−6.72701	+	3.23956i	−0.798349	+	0.384465i	−0.0101993	+	0.999948i	$0.503247\pi$
$72$	1.62169	−	0.780964i	0.191118	−	0.0920375i
$73$	−0.576573	+	2.52613i	−0.0674827	+	0.295661i	−0.997396	−	0.0721173i	$-0.977024\pi$
$73$	−0.576573	+	2.52613i	−0.0674827	+	0.295661i	0.929913	+	0.367778i	$0.119882\pi$
$74$	0.313610	−	1.37401i	0.0364564	−	0.159726i
$75$	−0.947146	+	0.456121i	−0.109367	+	0.0526684i
$76$	−7.21794	+	3.47598i	−0.827955	+	0.398722i
$77$	15.2278	−	6.10587i	1.73537	−	0.695828i
$78$	3.52410	+	1.69712i	0.399026	+	0.192161i
$79$	11.2929			1.27055			0.635274	−	0.772287i	$-0.280887\pi$
$79$	11.2929			1.27055			0.635274	+	0.772287i	$0.280887\pi$
$80$	−2.01007			−0.224732
$81$	0.324718	+	0.156376i	0.0360798	+	0.0173751i
$82$	−3.94881	+	4.95166i	−0.436074	+	0.546819i
$83$	−1.21556	+	5.32572i	−0.133425	+	0.584574i	0.863369	+	0.504572i	$0.168350\pi$
$83$	−1.21556	+	5.32572i	−0.133425	+	0.584574i	−0.996795	+	0.0800020i	$0.974507\pi$
$84$	0.833948	−	2.77578i	0.0909912	−	0.302863i
$85$	−0.986226	−	4.32094i	−0.106971	−	0.468672i
$86$	5.81018	+	2.79804i	0.626528	+	0.301720i
$87$	−1.34609	−	5.89762i	−0.144316	−	0.632291i
$88$	−3.86627	+	4.84815i	−0.412146	+	0.516814i
$89$	−2.13857	+	9.36969i	−0.226688	+	0.993186i	0.725632	+	0.688084i	$0.241548\pi$
$89$	−2.13857	+	9.36969i	−0.226688	+	0.993186i	−0.952320	+	0.305102i	$0.901309\pi$
$90$	2.25578	+	2.82866i	0.237780	+	0.298167i
$91$	−8.76822	+	3.51578i	−0.919159	+	0.368553i
$92$	0.862810	−	1.08193i	0.0899541	−	0.112799i
$93$	2.25358	+	2.82590i	0.233685	+	0.293032i
$94$	−1.69008	+	0.813901i	−0.174319	+	0.0839475i
$95$	−10.0402	−	12.5900i	−1.03010	−	1.29171i
$96$	0.243766	+	1.06801i	0.0248792	+	0.109003i
$97$	10.3853			1.05447			0.527235	−	0.849719i	$-0.323229\pi$
$97$	10.3853			1.05447			0.527235	+	0.849719i	$0.323229\pi$
$98$	3.58863	+	6.01014i	0.362506	+	0.607115i
$99$	11.1614			1.12177
$100$	0.213538	+	0.935573i	0.0213538	+	0.0935573i
$101$	11.4155	+	14.3146i	1.13588	+	1.42435i	0.890533	+	0.454919i	$0.150332\pi$
$101$	11.4155	+	14.3146i	1.13588	+	1.42435i	0.245351	+	0.969434i	$0.421097\pi$
$102$	−2.17624	+	1.04802i	−0.215480	+	0.103770i
$103$	3.13607	+	3.93250i	0.309006	+	0.387481i	0.911949	−	0.410303i	$-0.134577\pi$
$103$	3.13607	+	3.93250i	0.309006	+	0.387481i	−0.602944	+	0.797784i	$0.706006\pi$
$104$	2.22621	−	2.79158i	0.218298	−	0.273737i
$105$	5.81263	+	0.392706i	0.567254	+	0.0383242i
$106$	−2.99765	−	3.75893i	−0.291157	−	0.365099i
$107$	1.13596	−	4.97698i	0.109818	−	0.481143i	−0.889871	−	0.456211i	$-0.849206\pi$
$107$	1.13596	−	4.97698i	0.109818	−	0.481143i	0.999689	−	0.0249315i	$-0.00793676\pi$
$108$	3.27844	−	4.11103i	0.315468	−	0.395584i
$109$	−0.219224	−	0.960482i	−0.0209978	−	0.0919975i	0.963343	−	0.268272i	$-0.0864525\pi$
$109$	−0.219224	−	0.960482i	−0.0209978	−	0.0919975i	−0.984341	+	0.176274i	$0.943595\pi$
$110$	−11.2301	−	5.40812i	−1.07075	−	0.515644i
$111$	−0.343551	−	1.50519i	−0.0326084	−	0.142867i
$112$	−2.30094	−	1.30602i	−0.217418	−	0.123407i
$113$	0.789894	−	3.46075i	0.0743070	−	0.325560i	−0.924089	−	0.382177i	$-0.875174\pi$
$113$	0.789894	−	3.46075i	0.0743070	−	0.325560i	0.998396	+	0.0566173i	$0.0180315\pi$
$114$	−5.47186	+	6.86149i	−0.512486	+	0.642638i
$115$	2.50614	+	1.20689i	0.233699	+	0.112544i
$116$	−5.52208			−0.512712
$117$	−6.42679			−0.594157
$118$	3.51677	+	1.69359i	0.323745	+	0.155907i
$119$	1.67854	−	5.58700i	0.153872	−	0.512159i
$120$	−1.98391	+	0.955401i	−0.181105	+	0.0872158i
$121$	−24.7339	+	11.9112i	−2.24854	+	1.08284i
$122$	−0.241354	+	1.05744i	−0.0218512	+	0.0957361i
$123$	−1.54387	+	6.76413i	−0.139206	+	0.609901i
$124$	2.97270	−	1.43158i	0.266956	−	0.128559i
$125$	−10.7929	+	5.19761i	−0.965350	+	0.464888i
$126$	0.744319	+	4.70366i	0.0663092	+	0.419035i
$127$	−14.3701	−	6.92030i	−1.27514	−	0.614077i	−0.331007	−	0.943628i	$-0.607388\pi$
$127$	−14.3701	−	6.92030i	−1.27514	−	0.614077i	−0.944138	+	0.329551i	$0.893103\pi$
$128$	1.00000			0.0883883
$129$	7.06451			0.621995
$130$	6.46631	+	3.11401i	0.567133	+	0.273117i
$131$	1.39016	−	1.74321i	0.121459	−	0.152305i	−0.717384	−	0.696678i	$-0.754661\pi$
$131$	1.39016	−	1.74321i	0.121459	−	0.152305i	0.838843	+	0.544373i	$0.183232\pi$
$132$	−1.51159	+	6.62273i	−0.131567	+	0.576435i
$133$	−3.31287	−	20.9354i	−0.287263	−	1.81533i
$134$	−2.88417	−	12.6364i	−0.249154	−	1.09162i
$135$	9.52265	+	4.58586i	0.819579	+	0.394688i
$136$	0.490643	+	2.14965i	0.0420723	+	0.184331i
$137$	7.62701	−	9.56397i	0.651620	−	0.817105i	−0.340782	−	0.940142i	$-0.610692\pi$
$137$	7.62701	−	9.56397i	0.651620	−	0.817105i	0.992402	+	0.123037i	$0.0392633\pi$
$138$	0.337333	−	1.47795i	0.0287157	−	0.125812i
$139$	−6.33316	−	7.94153i	−0.537171	−	0.673591i	0.436984	−	0.899469i	$-0.356046\pi$
$139$	−6.33316	−	7.94153i	−0.537171	−	0.673591i	−0.974156	+	0.225878i	$0.927475\pi$
$140$	1.53020	−	5.09324i	0.129325	−	0.430457i
$141$	−1.28124	+	1.60662i	−0.107900	+	0.135302i
$142$	4.65524	+	5.83748i	0.390659	+	0.489871i
$143$	19.9484	−	9.60666i	1.66817	−	0.803350i
$144$	−1.12224	−	1.40725i	−0.0935202	−	0.117271i
$145$	−2.46992	−	10.8214i	−0.205116	−	0.898672i
$146$	2.59109			0.214440
$147$	6.39860	+	4.22622i	0.527748	+	0.348573i
$148$	−1.40935			−0.115848
$149$	−2.13500	−	9.35407i	−0.174906	−	0.766315i	−0.983932	−	0.178542i	$-0.942862\pi$
$149$	−2.13500	−	9.35407i	−0.174906	−	0.766315i	0.809026	−	0.587773i	$-0.199995\pi$
$150$	0.655445	+	0.821902i	0.0535169	+	0.0671081i
$151$	2.53480	−	1.22070i	0.206279	−	0.0993389i	−0.327892	−	0.944715i	$-0.606338\pi$
$151$	2.53480	−	1.22070i	0.206279	−	0.0993389i	0.534171	+	0.845376i	$0.320624\pi$
$152$	4.99497	+	6.26349i	0.405146	+	0.508036i
$153$	2.47447	−	3.10289i	0.200049	−	0.250853i
$154$	−9.34129	−	13.4873i	−0.752742	−	1.08684i
$155$	4.13505	+	5.18519i	0.332135	+	0.416485i
$156$	0.870381	−	3.81339i	0.0696862	−	0.305315i
$157$	−7.69817	+	9.65320i	−0.614381	+	0.770409i	−0.987542	−	0.157357i	$-0.949703\pi$
$157$	−7.69817	+	9.65320i	−0.614381	+	0.770409i	0.373161	+	0.927767i	$0.378274\pi$
$158$	−2.51290	−	11.0097i	−0.199916	−	0.875888i
$159$	−4.74529	−	2.28521i	−0.376326	−	0.181229i
$160$	0.447282	+	1.95967i	0.0353607	+	0.154926i
$161$	2.08463	+	3.00988i	0.164292	+	0.237212i
$162$	0.0801988	−	0.351374i	0.00630101	−	0.0276065i
$163$	−10.1839	+	12.7702i	−0.797666	+	1.00024i	0.202116	+	0.979362i	$0.435218\pi$
$163$	−10.1839	+	12.7702i	−0.797666	+	1.00024i	−0.999782	+	0.0208803i	$0.993353\pi$
$164$	5.70620	+	2.74796i	0.445580	+	0.214580i
$165$	−13.6545			−1.06300
$166$	5.46269			0.423987
$167$	8.47316	+	4.08046i	0.655673	+	0.315756i	0.731977	−	0.681329i	$-0.238598\pi$
$167$	8.47316	+	4.08046i	0.655673	+	0.315756i	−0.0763041	+	0.997085i	$0.524312\pi$
$168$	−2.89176	−	0.195370i	−0.223104	−	0.0150731i
$169$	0.226221	−	0.108942i	0.0174016	−	0.00838017i
$170$	−3.99315	+	1.92300i	−0.306260	+	0.147487i
$171$	3.20872	−	14.0583i	0.245377	−	1.07507i
$172$	1.43500	−	6.28713i	0.109418	−	0.479389i
$173$	−20.5739	+	9.90788i	−1.56421	+	0.753282i	−0.997502	−	0.0706385i	$-0.977496\pi$
$173$	−20.5739	+	9.90788i	−1.56421	+	0.753282i	−0.566705	+	0.823921i	$0.691782\pi$
$174$	−5.45022	+	2.62469i	−0.413180	+	0.198977i
$175$	−2.53318	−	0.171144i	−0.191490	−	0.0129372i
$176$	5.58692	+	2.69052i	0.421130	+	0.202805i
$177$	4.27599			0.321403
$178$	9.61065			0.720349
$179$	−9.59819	−	4.62225i	−0.717402	−	0.345483i	0.0393132	−	0.999227i	$-0.487483\pi$
$179$	−9.59819	−	4.62225i	−0.717402	−	0.345483i	−0.756716	+	0.653744i	$0.773197\pi$
$180$	2.25578	−	2.82866i	0.168136	−	0.210836i
$181$	−3.60544	+	15.7965i	−0.267990	+	1.17414i	0.644358	+	0.764724i	$0.277125\pi$
$181$	−3.60544	+	15.7965i	−0.267990	+	1.17414i	−0.912348	+	0.409417i	$0.865732\pi$
$182$	5.37874	+	7.76605i	0.398699	+	0.575658i
$183$	0.264397	+	1.15840i	0.0195448	+	0.0856312i
$184$	−1.24680	−	0.600425i	−0.0919150	−	0.0442639i
$185$	−0.630376	−	2.76186i	−0.0463462	−	0.203056i
$186$	2.25358	−	2.82590i	0.165240	−	0.207205i
$187$	−3.04249	+	13.3300i	−0.222489	+	0.974786i
$188$	1.16957	+	1.46660i	0.0852999	+	0.106963i
$189$	7.92103	+	11.4367i	0.576170	+	0.831898i
$190$	−10.0402	+	12.5900i	−0.728394	+	0.913377i
$191$	−3.07609	−	3.85729i	−0.222578	−	0.279104i	0.657987	−	0.753029i	$-0.271408\pi$
$191$	−3.07609	−	3.85729i	−0.222578	−	0.279104i	−0.880565	+	0.473925i	$0.842837\pi$
$192$	0.986987	−	0.475308i	0.0712297	−	0.0343024i
$193$	9.10815	+	11.4213i	0.655619	+	0.822121i	0.992858	−	0.119298i	$-0.0380645\pi$
$193$	9.10815	+	11.4213i	0.655619	+	0.822121i	−0.337239	+	0.941419i	$0.609493\pi$
$194$	−2.31095	−	10.1249i	−0.165917	−	0.726929i
$195$	7.86229			0.563030
$196$	5.06090	−	4.83604i	0.361493	−	0.345431i
$197$	−3.34651			−0.238429			−0.119214	−	0.992869i	$-0.538038\pi$
$197$	−3.34651			−0.238429			−0.119214	+	0.992869i	$0.538038\pi$
$198$	−2.48365	−	10.8816i	−0.176506	−	0.773322i
$199$	−5.26190	−	6.59821i	−0.373006	−	0.467735i	0.559531	−	0.828809i	$-0.310981\pi$
$199$	−5.26190	−	6.59821i	−0.373006	−	0.467735i	−0.932537	+	0.361075i	$0.882410\pi$
$200$	0.864600	−	0.416369i	0.0611364	−	0.0294418i
$201$	−8.85282	−	11.1011i	−0.624430	−	0.783010i
$202$	11.4155	−	14.3146i	0.803191	−	1.00717i
$203$	4.20378	−	13.9922i	0.295047	−	0.982060i
$204$	1.50600	+	1.88847i	0.105441	+	0.132219i
$205$	−2.83282	+	12.4114i	−0.197853	+	0.866849i
$206$	3.13607	−	3.93250i	0.218500	−	0.273990i
$207$	0.554261	+	2.42837i	0.0385238	+	0.168784i
$208$	−3.21697	−	1.54921i	−0.223056	−	0.107418i
$209$	11.0544	+	48.4327i	0.764652	+	3.35016i
$210$	−0.910571	−	5.75428i	−0.0628353	−	0.397083i
$211$	−3.11411	+	13.6438i	−0.214384	+	0.939279i	0.747163	+	0.664640i	$0.231415\pi$
$211$	−3.11411	+	13.6438i	−0.214384	+	0.939279i	−0.961548	+	0.274638i	$0.911442\pi$
$212$	−2.99765	+	3.75893i	−0.205879	+	0.258164i
$213$	7.36926	+	3.54885i	0.504933	+	0.243163i
$214$	−5.10497			−0.348969
$215$	12.9626			0.884039
$216$	−4.73748	−	2.28145i	−0.322345	−	0.155233i
$217$	1.36440	+	8.62223i	0.0926217	+	0.585315i
$218$	−0.887619	+	0.427455i	−0.0601171	+	0.0289509i
$219$	2.55738	−	1.23157i	0.172812	−	0.0832217i
$220$	−2.77360	+	12.1519i	−0.186996	+	0.819284i
$221$	1.75187	−	7.67546i	0.117844	−	0.516307i
$222$	−1.39101	+	0.669875i	−0.0933584	+	0.0449590i
$223$	5.87822	−	2.83080i	0.393634	−	0.189564i	−0.226587	−	0.973991i	$-0.572757\pi$
$223$	5.87822	−	2.83080i	0.393634	−	0.189564i	0.620222	+	0.784426i	$0.287043\pi$
$224$	−0.761267	+	2.53387i	−0.0508643	+	0.169301i
$225$	−1.55623	−	0.749439i	−0.103748	−	0.0499626i
$226$	−3.54975			−0.236126
$227$	−25.0145			−1.66027			−0.830134	−	0.557564i	$-0.811736\pi$
$227$	−25.0145			−1.66027			−0.830134	+	0.557564i	$0.811736\pi$
$228$	7.90706	+	3.80784i	0.523658	+	0.252180i
$229$	17.3899	−	21.8062i	1.14916	−	1.44100i	0.271027	−	0.962572i	$-0.412637\pi$
$229$	17.3899	−	21.8062i	1.14916	−	1.44100i	0.878129	−	0.478424i	$-0.158792\pi$
$230$	0.618966	−	2.71187i	0.0408134	−	0.178815i
$231$	−15.6304	−	8.87185i	−1.02840	−	0.583725i
$232$	1.22878	+	5.38363i	0.0806732	+	0.353452i
$233$	12.3443	+	5.94468i	0.808699	+	0.389449i	0.792083	−	0.610413i	$-0.208997\pi$
$233$	12.3443	+	5.94468i	0.808699	+	0.389449i	0.0166157	+	0.999862i	$0.494711\pi$
$234$	1.43010	+	6.26566i	0.0934883	+	0.409599i
$235$	−2.35092	+	2.94796i	−0.153357	+	0.192304i
$236$	0.868571	−	3.80546i	0.0565392	−	0.247714i
$237$	−7.71322	−	9.67207i	−0.501027	−	0.628269i
$238$	−5.82043	−	0.393234i	−0.377283	−	0.0254896i
$239$	9.59020	−	12.0257i	0.620339	−	0.777880i	−0.368053	−	0.929805i	$-0.619976\pi$
$239$	9.59020	−	12.0257i	0.620339	−	0.777880i	0.988392	+	0.151925i	$0.0485471\pi$
$240$	1.37291	+	1.72157i	0.0886209	+	0.111127i
$241$	4.66780	−	2.24789i	0.300679	−	0.144800i	−0.277461	−	0.960737i	$-0.589493\pi$
$241$	4.66780	−	2.24789i	0.300679	−	0.144800i	0.578140	+	0.815937i	$0.303779\pi$
$242$	17.1164	+	21.4633i	1.10028	+	1.37971i
$243$	3.42233	+	14.9942i	0.219542	+	0.961878i
$244$	1.08463			0.0694366
$245$	11.7407	+	7.75463i	0.750085	+	0.495425i
$246$	6.93808			0.442356
$247$	−6.36518	−	27.8877i	−0.405007	−	1.77445i
$248$	−2.05717	−	2.57961i	−0.130631	−	0.163806i
$249$	5.39160	−	2.59646i	0.341679	−	0.164544i
$250$	7.46895	+	9.36576i	0.472378	+	0.592343i
$251$	6.84112	−	8.57849i	0.431807	−	0.541469i	−0.517556	−	0.855649i	$-0.673158\pi$
$251$	6.84112	−	8.57849i	0.431807	−	0.541469i	0.949363	+	0.314180i	$0.101730\pi$
$252$	4.42010	−	1.77232i	0.278440	−	0.111646i
$253$	−5.35029	−	6.70906i	−0.336370	−	0.421795i
$254$	−3.54913	+	15.5498i	−0.222692	+	0.975679i
$255$	−3.02717	+	3.79595i	−0.189569	+	0.237712i
$256$	−0.222521	−	0.974928i	−0.0139076	−	0.0609330i
$257$	3.38673	+	1.63096i	0.211259	+	0.101737i	0.536521	−	0.843887i	$-0.319738\pi$
$257$	3.38673	+	1.63096i	0.211259	+	0.101737i	−0.325262	+	0.945624i	$0.605453\pi$
$258$	−1.57200	−	6.88739i	−0.0978685	−	0.428790i
$259$	1.07289	−	3.57110i	0.0666662	−	0.221897i
$260$	1.59705	−	6.99712i	0.0990447	−	0.433943i
$261$	6.19711	−	7.77093i	0.383592	−	0.481009i
$262$	−2.00884	−	0.967407i	−0.124107	−	0.0597666i
$263$	−14.8373			−0.914909			−0.457454	−	0.889233i	$-0.651239\pi$
$263$	−14.8373			−0.914909			−0.457454	+	0.889233i	$0.651239\pi$
$264$	6.79305			0.418083
$265$	−8.70705	−	4.19309i	−0.534870	−	0.257580i
$266$	−19.6734	+	7.88839i	−1.20625	+	0.483668i
$267$	9.48559	−	4.56802i	0.580509	−	0.279558i
$268$	−11.6778	+	5.62372i	−0.713333	+	0.343523i
$269$	1.41756	−	6.21075i	0.0864303	−	0.378676i	−0.913151	−	0.407622i	$-0.866358\pi$
$269$	1.41756	−	6.21075i	0.0864303	−	0.378676i	0.999581	+	0.0289463i	$0.00921520\pi$
$270$	2.35190	−	10.3043i	0.143132	−	0.627102i
$271$	5.25106	−	2.52878i	0.318979	−	0.153612i	−0.267542	−	0.963546i	$-0.586211\pi$
$271$	5.25106	−	2.52878i	0.318979	−	0.153612i	0.586521	+	0.809934i	$0.300497\pi$
$272$	1.98657	−	0.956684i	0.120454	−	0.0580075i
$273$	9.00002	+	5.10844i	0.544706	+	0.309177i
$274$	−11.0214	−	5.30760i	−0.665824	−	0.320644i
$275$	5.95070			0.358841
$276$	−1.51596			−0.0912500
$277$	−11.6705	−	5.62023i	−0.701214	−	0.337687i	0.0490765	−	0.998795i	$-0.484372\pi$
$277$	−11.6705	−	5.62023i	−0.701214	−	0.337687i	−0.750291	+	0.661108i	$0.770086\pi$
$278$	−6.33316	+	7.94153i	−0.379837	+	0.476301i
$279$	−1.32151	+	5.78990i	−0.0791166	+	0.346632i
$280$	−5.30604	−	0.358481i	−0.317097	−	0.0214233i
$281$	−1.30421	−	5.71412i	−0.0778026	−	0.340876i	0.921013	−	0.389532i	$-0.127363\pi$
$281$	−1.30421	−	5.71412i	−0.0778026	−	0.340876i	−0.998816	+	0.0486564i	$0.984506\pi$
$282$	1.85144	+	0.891607i	0.110252	+	0.0530944i
$283$	2.96874	+	13.0069i	0.176473	+	0.773180i	0.983241	+	0.182311i	$0.0583578\pi$
$283$	2.96874	+	13.0069i	0.176473	+	0.773180i	−0.806768	+	0.590869i	$0.798785\pi$
$284$	4.65524	−	5.83748i	0.276237	−	0.346391i
$285$	−3.92542	+	17.1984i	−0.232522	+	1.01875i
$286$	−13.8048	−	17.3106i	−0.816292	−	1.02360i
$287$	−11.3069	+	12.3668i	−0.667426	+	0.729990i
$288$	−1.12224	+	1.40725i	−0.0661288	+	0.0829229i
$289$	−7.56809	−	9.49009i	−0.445182	−	0.558240i
$290$	−10.0005	+	4.81600i	−0.587251	+	0.282805i
$291$	−7.09335	−	8.89478i	−0.415820	−	0.521421i
$292$	−0.576573	−	2.52613i	−0.0337414	−	0.147831i
$293$	−17.2343			−1.00684			−0.503419	−	0.864042i	$-0.667925\pi$
$293$	−17.2343			−1.00684			−0.503419	+	0.864042i	$0.667925\pi$
$294$	2.69644	−	7.17860i	0.157260	−	0.418664i
$295$	7.84594			0.456808
$296$	0.313610	+	1.37401i	0.0182282	+	0.0798629i
$297$	−20.3296	−	25.4926i	−1.17964	−	1.47923i
$298$	−8.64446	+	4.16295i	−0.500760	+	0.241153i
$299$	3.08072	+	3.86309i	0.178162	+	0.223409i
$300$	0.655445	−	0.821902i	0.0378422	−	0.0474526i
$301$	14.8383	+	8.42228i	0.855267	+	0.485452i
$302$	−1.75414	−	2.19962i	−0.100939	−	0.126574i
$303$	4.46311	−	19.5542i	0.256399	−	1.12336i
$304$	4.99497	−	6.26349i	0.286481	−	0.359236i
$305$	0.485137	+	2.12553i	0.0277789	+	0.121707i
$306$	−3.57571	−	1.72197i	−0.204410	−	0.0984386i
$307$	−6.46693	−	28.3335i	−0.369087	−	1.61708i	−0.729291	−	0.684204i	$-0.760150\pi$
$307$	−6.46693	−	28.3335i	−0.369087	−	1.61708i	0.360204	−	0.932874i	$-0.382707\pi$
$308$	−11.0706	+	12.1083i	−0.630803	+	0.689934i
$309$	1.22611	−	5.37193i	0.0697508	−	0.305598i
$310$	4.13505	−	5.18519i	0.234855	−	0.294499i
$311$	−12.6423	−	6.08821i	−0.716879	−	0.345231i	0.0396294	−	0.999214i	$-0.487382\pi$
$311$	−12.6423	−	6.08821i	−0.716879	−	0.345231i	−0.756509	+	0.653984i	$0.773097\pi$
$312$	−3.91146			−0.221443
$313$	−13.8597			−0.783399			−0.391699	−	0.920093i	$-0.628113\pi$
$313$	−13.8597			−0.783399			−0.391699	+	0.920093i	$0.628113\pi$
$314$	11.1242	+	5.35712i	0.627774	+	0.302320i
$315$	5.45019	+	7.86922i	0.307084	+	0.443380i
$316$	−10.1745	+	4.89979i	−0.572362	+	0.275635i
$317$	24.7029	−	11.8963i	1.38745	−	0.668161i	0.416877	−	0.908963i	$-0.363125\pi$
$317$	24.7029	−	11.8963i	1.38745	−	0.668161i	0.970574	+	0.240801i	$0.0774103\pi$
$318$	−1.17199	+	5.13482i	−0.0657219	+	0.287946i
$319$	−7.61967	+	33.3839i	−0.426619	+	1.86914i
$320$	1.81101	−	0.872135i	0.101238	−	0.0487538i
$321$	−5.03854	+	2.42643i	−0.281224	+	0.135430i
$322$	2.47054	−	2.70213i	0.137678	−	0.150584i
$323$	15.9151	+	7.66429i	0.885538	+	0.426453i
$324$	−0.360410			−0.0200228
$325$	−3.42643			−0.190064
$326$	14.7162	+	7.08695i	0.815055	+	0.392510i
$327$	−0.672896	+	0.843785i	−0.0372112	+	0.0466614i
$328$	1.40932	−	6.17461i	0.0778164	−	0.340936i
$329$	−4.60652	+	1.84707i	−0.253966	+	0.101832i
$330$	3.03841	+	13.3121i	0.167259	+	0.732808i
$331$	26.1431	+	12.5899i	1.43695	+	0.692001i	0.980276	−	0.197631i	$-0.0633248\pi$
$331$	26.1431	+	12.5899i	1.43695	+	0.692001i	0.456678	+	0.889632i	$0.349039\pi$
$332$	−1.21556	−	5.32572i	−0.0667126	−	0.292287i
$333$	1.58163	−	1.98330i	0.0866729	−	0.108684i
$334$	2.09270	−	9.16871i	0.114507	−	0.501690i
$335$	−16.2439	−	20.3692i	−0.887498	−	1.11289i
$336$	0.453005	+	2.86273i	0.0247135	+	0.156175i
$337$	7.69393	−	9.64789i	0.419115	−	0.525554i	−0.526791	−	0.849995i	$-0.676605\pi$
$337$	7.69393	−	9.64789i	0.419115	−	0.525554i	0.945906	+	0.324441i	$0.105176\pi$
$338$	−0.156550	−	0.196307i	−0.00851518	−	0.0106777i
$339$	−3.50356	+	1.68723i	−0.190287	+	0.0916375i
$340$	2.76334	+	3.46512i	0.149863	+	0.187923i
$341$	−4.55276	−	19.9469i	−0.246546	−	1.08019i
$342$	−14.4199			−0.779737
$343$	8.40116	+	16.5052i	0.453620	+	0.891195i
$344$	−6.44882			−0.347697
$345$	−0.678061	−	2.97078i	−0.0365056	−	0.159941i
$346$	14.2376	+	17.8534i	0.765418	+	0.959804i
$347$	−12.8355	+	6.18125i	−0.689046	+	0.331827i	−0.745432	−	0.666582i	$-0.767757\pi$
$347$	−12.8355	+	6.18125i	−0.689046	+	0.331827i	0.0563859	+	0.998409i	$0.482042\pi$
$348$	3.77167	+	4.72952i	0.202183	+	0.253529i
$349$	5.19772	−	6.51774i	0.278228	−	0.348886i	−0.623008	−	0.782215i	$-0.714090\pi$
$349$	5.19772	−	6.51774i	0.278228	−	0.348886i	0.901236	+	0.433329i	$0.142661\pi$
$350$	0.396832	+	2.50775i	0.0212116	+	0.134045i
$351$	11.7059	+	14.6787i	0.624813	+	0.783490i
$352$	1.37986	−	6.04554i	0.0735465	−	0.322228i
$353$	1.13373	−	1.42166i	0.0603426	−	0.0756672i	−0.750744	−	0.660593i	$-0.770305\pi$
$353$	1.13373	−	1.42166i	0.0603426	−	0.0756672i	0.811087	+	0.584926i	$0.198876\pi$
$354$	−0.951497	−	4.16878i	−0.0505715	−	0.221568i
$355$	13.5217	+	6.51173i	0.717659	+	0.345607i
$356$	−2.13857	−	9.36969i	−0.113344	−	0.496593i
$357$	−5.93160	+	2.37838i	−0.313934	+	0.125877i
$358$	−2.37056	+	10.3861i	−0.125288	+	0.548922i
$359$	−9.52185	+	11.9400i	−0.502544	+	0.630170i	−0.966801	−	0.255530i	$-0.917750\pi$
$359$	−9.52185	+	11.9400i	−0.502544	+	0.630170i	0.464257	+	0.885700i	$0.346321\pi$
$360$	−3.25970	−	1.56979i	−0.171801	−	0.0827351i
$361$	45.1811			2.37795
$362$	16.2027			0.851594
$363$	27.0953	+	13.0484i	1.42214	+	0.684865i
$364$	6.37446	−	6.97199i	0.334112	−	0.365432i
$365$	4.69249	−	2.25978i	0.245616	−	0.118283i
$366$	1.07052	−	0.515536i	0.0559570	−	0.0269475i
$367$	−4.00241	+	17.5357i	−0.208924	+	0.915355i	0.756361	+	0.654155i	$0.226975\pi$
$367$	−4.00241	+	17.5357i	−0.208924	+	0.915355i	−0.965285	+	0.261200i	$0.915882\pi$
$368$	−0.307933	+	1.34914i	−0.0160521	+	0.0703290i
$369$	−10.2708	+	4.94616i	−0.534677	+	0.257487i
$370$	−2.55234	+	1.22914i	−0.132690	+	0.0639001i
$371$	−7.24261	−	10.4572i	−0.376017	−	0.542910i
$372$	−3.25651	−	1.56825i	−0.168842	−	0.0813102i
$373$	−20.6373			−1.06856			−0.534280	−	0.845308i	$-0.679417\pi$
$373$	−20.6373			−1.06856			−0.534280	+	0.845308i	$0.679417\pi$
$374$	13.6728			0.707004
$375$	11.8234	+	5.69384i	0.610557	+	0.294029i
$376$	1.16957	−	1.46660i	0.0603162	−	0.0756341i
$377$	4.38743	−	19.2226i	0.225964	−	0.990013i
$378$	9.38737	−	10.2673i	0.482834	−	0.528095i
$379$	2.26707	+	9.93267i	0.116451	+	0.510207i	0.999186	+	0.0403354i	$0.0128426\pi$
$379$	2.26707	+	9.93267i	0.116451	+	0.510207i	−0.882735	+	0.469872i	$0.844300\pi$
$380$	14.5085	+	6.98694i	0.744272	+	0.358423i
$381$	3.88798	+	17.0344i	0.199187	+	0.872697i
$382$	−3.07609	+	3.85729i	−0.157386	+	0.197356i
$383$	0.597520	−	2.61791i	0.0305318	−	0.133769i	−0.957365	−	0.288881i	$-0.906717\pi$
$383$	0.597520	−	2.61791i	0.0305318	−	0.133769i	0.987897	+	0.155112i	$0.0495739\pi$
$384$	−0.683017	−	0.856476i	−0.0348550	−	0.0437068i
$385$	−28.6799	−	16.2788i	−1.46166	−	0.829645i
$386$	9.10815	−	11.4213i	0.463593	−	0.581327i
$387$	7.23714	+	9.07509i	0.367885	+	0.461313i
$388$	−9.35686	+	4.50602i	−0.475022	+	0.228759i
$389$	−4.53048	−	5.68104i	−0.229704	−	0.288040i	0.653600	−	0.756840i	$-0.273258\pi$
$389$	−4.53048	−	5.68104i	−0.229704	−	0.288040i	−0.883304	+	0.468800i	$0.844687\pi$
$390$	−1.74952	−	7.66516i	−0.0885906	−	0.388141i
$391$	−3.05127			−0.154309
$392$	−5.84094	−	3.85790i	−0.295012	−	0.194853i
$393$	−2.44252			−0.123209
$394$	0.744668	+	3.26260i	0.0375158	+	0.164368i
$395$	−14.1529	−	17.7471i	−0.712108	−	0.892955i
$396$	−10.0561	+	4.84277i	−0.505338	+	0.243358i
$397$	23.3377	+	29.2645i	1.17129	+	1.46875i	0.853891	+	0.520451i	$0.174236\pi$
$397$	23.3377	+	29.2645i	1.17129	+	1.46875i	0.317394	+	0.948294i	$0.397192\pi$
$398$	−5.26190	+	6.59821i	−0.263755	+	0.330738i
$399$	−15.6679	+	17.1366i	−0.784378	+	0.857905i
$400$	−0.598322	−	0.750271i	−0.0299161	−	0.0375136i
$401$	4.50454	−	19.7357i	0.224946	−	0.985553i	−0.728750	−	0.684780i	$-0.759898\pi$
$401$	4.50454	−	19.7357i	0.224946	−	0.985553i	0.953696	−	0.300773i	$-0.0972447\pi$
$402$	−8.85282	+	11.1011i	−0.441538	+	0.553672i
$403$	2.62149	+	11.4855i	0.130586	+	0.572134i
$404$	−16.4959	−	7.94399i	−0.820700	−	0.395228i
$405$	−0.161205	−	0.706285i	−0.00801034	−	0.0350956i
$406$	−14.5768	−	0.984823i	−0.723435	−	0.0488759i
$407$	−1.94470	+	8.52027i	−0.0963950	+	0.422334i
$408$	1.50600	−	1.88847i	0.0745583	−	0.0934932i
$409$	−7.75989	−	3.73697i	−0.383702	−	0.184781i	0.232082	−	0.972696i	$-0.425446\pi$
$409$	−7.75989	−	3.73697i	−0.383702	−	0.184781i	−0.615784	+	0.787915i	$0.711161\pi$
$410$	12.7306			0.628718
$411$	−13.4007			−0.661007
$412$	−4.53175	−	2.18237i	−0.223263	−	0.107518i
$413$	8.98130	+	5.09781i	0.441941	+	0.250847i
$414$	2.24416	−	1.08073i	0.110294	−	0.0531149i
$415$	9.89296	−	4.76420i	0.485626	−	0.233865i
$416$	−0.794525	+	3.48104i	−0.0389548	+	0.170672i
$417$	−2.47607	+	10.8484i	−0.121254	+	0.531248i
$418$	44.7585	−	21.5546i	2.18921	−	1.05427i
$419$	−29.8209	+	14.3610i	−1.45685	+	0.701580i	−0.983769	−	0.179440i	$-0.942571\pi$
$419$	−29.8209	+	14.3610i	−1.45685	+	0.701580i	−0.473078	+	0.881021i	$0.656857\pi$
$420$	−5.40738	+	2.16819i	−0.263853	+	0.105797i
$421$	4.75615	+	2.29044i	0.231801	+	0.111629i	0.546179	−	0.837668i	$-0.316082\pi$
$421$	4.75615	+	2.29044i	0.231801	+	0.111629i	−0.314379	+	0.949298i	$0.601796\pi$
$422$	13.9947			0.681251
$423$	−3.37641			−0.164167
$424$	4.33172	+	2.08605i	0.210367	+	0.101307i
$425$	1.31926	−	1.65430i	0.0639934	−	0.0802452i
$426$	1.82006	−	7.97419i	0.0881821	−	0.386351i
$427$	−0.825697	+	2.74832i	−0.0399583	+	0.133000i
$428$	1.13596	+	4.97698i	0.0549089	+	0.240571i
$429$	−21.8530	−	10.5238i	−1.05507	−	0.508096i
$430$	−2.88444	−	12.6376i	−0.139100	−	0.609437i
$431$	−6.31757	+	7.92199i	−0.304307	+	0.381589i	−0.910347	−	0.413845i	$-0.864186\pi$
$431$	−6.31757	+	7.92199i	−0.304307	+	0.381589i	0.606040	+	0.795434i	$0.292757\pi$
$432$	−1.17006	+	5.12637i	−0.0562946	+	0.246643i
$433$	14.9321	+	18.7242i	0.717589	+	0.899829i	0.998199	−	0.0599934i	$-0.0191080\pi$
$433$	14.9321	+	18.7242i	0.717589	+	0.899829i	−0.280609	+	0.959822i	$0.590537\pi$
$434$	8.10245	−	3.24882i	0.388930	−	0.155948i
$435$	−7.58131	+	9.50666i	−0.363496	+	0.455809i
$436$	0.614251	+	0.770247i	0.0294173	+	0.0368881i
$437$	−9.98847	+	4.81019i	−0.477813	+	0.230103i
$438$	−1.76976	−	2.21921i	−0.0845624	−	0.106038i
$439$	−3.52680	−	15.4519i	−0.168325	−	0.737481i	−0.986667	−	0.162749i	$-0.947964\pi$
$439$	−3.52680	−	15.4519i	−0.168325	−	0.737481i	0.818342	−	0.574731i	$-0.194893\pi$
$440$	12.4644			0.594219
$441$	1.12594	+	12.5492i	0.0536161	+	0.597579i
$442$	−7.87285			−0.374473
$443$	−4.58652	−	20.0948i	−0.217912	−	0.954734i	−0.959018	−	0.283346i	$-0.908555\pi$
$443$	−4.58652	−	20.0948i	−0.217912	−	0.954734i	0.741106	−	0.671388i	$-0.234302\pi$
$444$	0.962608	+	1.20707i	0.0456834	+	0.0572851i
$445$	17.4050	−	8.38179i	0.825074	−	0.397335i
$446$	−4.06785	−	5.10092i	−0.192618	−	0.241536i
$447$	−6.55329	+	8.21756i	−0.309960	+	0.388677i
$448$	2.63973	+	0.178343i	0.124716	+	0.00842591i
$449$	16.7467	+	20.9996i	0.790324	+	0.991034i	0.999912	+	0.0132448i	$0.00421606\pi$
$449$	16.7467	+	20.9996i	0.790324	+	0.991034i	−0.209589	+	0.977790i	$0.567213\pi$
$450$	−0.384356	+	1.68397i	−0.0181187	+	0.0793833i
$451$	24.4867	−	30.7053i	1.15303	−	1.44586i
$452$	0.789894	+	3.46075i	0.0371535	+	0.162780i
$453$	−2.77681	−	1.33724i	−0.130466	−	0.0628291i
$454$	5.56624	+	24.3873i	0.261237	+	1.14455i
$455$	16.5140	+	9.37338i	0.774188	+	0.439431i
$456$	1.95288	−	8.55614i	0.0914521	−	0.400678i
$457$	−2.94889	+	3.69779i	−0.137943	+	0.172975i	−0.846005	−	0.533175i	$-0.820999\pi$
$457$	−2.94889	+	3.69779i	−0.137943	+	0.172975i	0.708061	+	0.706151i	$0.249570\pi$
$458$	−25.1291	−	12.1015i	−1.17421	−	0.565468i
$459$	−11.5940			−0.541161
$460$	−2.78161			−0.129693
$461$	−10.6067	−	5.10793i	−0.494004	−	0.237900i	0.170258	−	0.985400i	$-0.445540\pi$
$461$	−10.6067	−	5.10793i	−0.494004	−	0.237900i	−0.664262	+	0.747500i	$0.731254\pi$
$462$	−5.17132	+	17.2127i	−0.240592	+	0.800805i
$463$	−2.25372	+	1.08533i	−0.104739	+	0.0504398i	−0.485520	−	0.874226i	$-0.661370\pi$
$463$	−2.25372	+	1.08533i	−0.104739	+	0.0504398i	0.380781	+	0.924665i	$0.375655\pi$
$464$	4.97522	−	2.39594i	0.230969	−	0.111229i
$465$	1.61668	−	7.08314i	0.0749718	−	0.328473i
$466$	3.04878	−	13.3576i	0.141232	−	0.618778i
$467$	−17.5402	+	8.44692i	−0.811664	+	0.390877i	−0.793206	−	0.608953i	$-0.791590\pi$
$467$	−17.5402	+	8.44692i	−0.811664	+	0.390877i	−0.0184576	+	0.999830i	$0.505876\pi$
$468$	5.79034	−	2.78848i	0.267658	−	0.128898i
$469$	−5.35984	−	33.8711i	−0.247494	−	1.56402i
$470$	3.39718	+	1.63600i	0.156700	+	0.0754628i
$471$	13.5257			0.623232
$472$	−3.90332			−0.179665
$473$	−36.0290	−	17.3507i	−1.65662	−	0.797785i
$474$	−7.71322	+	9.67207i	−0.354280	+	0.444253i
$475$	1.71072	−	7.49517i	0.0784934	−	0.343902i
$476$	0.911793	+	5.76200i	0.0417920	+	0.264101i
$477$	−1.92566	−	8.43686i	−0.0881698	−	0.386297i
$478$	−13.8582	−	6.67378i	−0.633861	−	0.305252i
$479$	5.27483	+	23.1105i	0.241013	+	1.05595i	0.940097	+	0.340907i	$0.110734\pi$
$479$	5.27483	+	23.1105i	0.241013	+	1.05595i	−0.699084	+	0.715040i	$0.746409\pi$
$480$	1.37291	−	1.72157i	0.0626644	−	0.0785787i
$481$	1.11976	−	4.90600i	0.0510568	−	0.223694i
$482$	−3.23022	−	4.05057i	−0.147132	−	0.184498i
$483$	1.15405	−	3.84124i	0.0525111	−	0.174782i
$484$	17.1164	−	21.4633i	0.778018	−	0.975604i
$485$	−13.0155	−	16.3209i	−0.591002	−	0.741093i
$486$	13.8567	−	6.67304i	0.628553	−	0.302695i
$487$	−11.6257	−	14.5781i	−0.526809	−	0.660597i	0.445231	−	0.895416i	$-0.353122\pi$
$487$	−11.6257	−	14.5781i	−0.526809	−	0.660597i	−0.972039	+	0.234819i	$0.924550\pi$
$488$	−0.241354	−	1.05744i	−0.0109256	−	0.0478681i
$489$	17.8932			0.809158
$490$	4.94766	−	13.1719i	0.223512	−	0.595045i
$491$	−31.5880			−1.42554			−0.712772	−	0.701395i	$-0.752561\pi$
$491$	−31.5880			−1.42554			−0.712772	+	0.701395i	$0.752561\pi$
$492$	−1.54387	−	6.76413i	−0.0696029	−	0.304950i
$493$	7.59149	+	9.51942i	0.341903	+	0.428733i
$494$	−25.7721	+	12.4112i	−1.15954	+	0.558406i
$495$	−13.9881	−	17.5406i	−0.628720	−	0.788390i
$496$	−2.05717	+	2.57961i	−0.0923698	+	0.115828i
$497$	11.2475	+	16.2396i	0.504520	+	0.728447i
$498$	−3.73110	−	4.67866i	−0.167195	−	0.209656i
$499$	−4.12610	+	18.0776i	−0.184710	+	0.809266i	0.794638	+	0.607083i	$0.207661\pi$
$499$	−4.12610	+	18.0776i	−0.184710	+	0.809266i	−0.979348	+	0.202183i	$0.935197\pi$
$500$	7.46895	−	9.36576i	0.334021	−	0.418850i
$501$	−2.29250	−	10.0441i	−0.102421	−	0.448736i
$502$	−9.88570	−	4.76070i	−0.441220	−	0.212481i
$503$	0.113374	+	0.496724i	0.00505510	+	0.0221478i	0.977393	−	0.211433i	$-0.0678129\pi$
$503$	0.113374	+	0.496724i	0.00505510	+	0.0221478i	−0.972337	+	0.233580i	$0.924956\pi$
$504$	−2.71145	−	3.91490i	−0.120778	−	0.174384i
$505$	8.18929	−	35.8796i	0.364419	−	1.59662i
$506$	−5.35029	+	6.70906i	−0.237850	+	0.298254i
$507$	−0.247819	−	0.119343i	−0.0110060	−	0.00530022i
$508$	15.9497			0.707652
$509$	44.1487			1.95686			0.978428	−	0.206586i	$-0.0662354\pi$
$509$	44.1487			1.95686			0.978428	+	0.206586i	$0.0662354\pi$
$510$	4.37439	+	2.10659i	0.193701	+	0.0932815i
$511$	6.83980	+	0.462103i	0.302575	+	0.0204422i
$512$	−0.900969	+	0.433884i	−0.0398176	+	0.0191751i
$513$	−37.9534	+	18.2774i	−1.67568	+	0.806967i
$514$	0.836454	−	3.66474i	0.0368944	−	0.161645i
$515$	2.24976	−	9.85686i	0.0991365	−	0.434345i
$516$	−6.36490	+	3.06518i	−0.280199	+	0.134937i
$517$	10.4802	−	5.04701i	0.460920	−	0.221967i
$518$	−3.72030	−	0.251347i	−0.163461	−	0.0110436i
$519$	22.5382	+	10.8538i	0.989317	+	0.476430i
$520$	−7.17707			−0.314735
$521$	20.2968			0.889219			0.444609	−	0.895725i	$-0.353343\pi$
$521$	20.2968			0.889219			0.444609	+	0.895725i	$0.353343\pi$
$522$	−8.95509	−	4.31254i	−0.391953	−	0.188755i
$523$	9.73358	−	12.2055i	0.425620	−	0.533710i	−0.522070	−	0.852902i	$-0.674840\pi$
$523$	9.73358	−	12.2055i	0.425620	−	0.533710i	0.947690	+	0.319192i	$0.103412\pi$
$524$	−0.496143	+	2.17374i	−0.0216741	+	0.0949605i
$525$	1.58362	+	2.28650i	0.0691149	+	0.0997909i
$526$	3.30162	+	14.4653i	0.143957	+	0.630718i
$527$	−6.55460	−	3.15653i	−0.285523	−	0.137501i
$528$	−1.51159	−	6.62273i	−0.0657837	−	0.288217i
$529$	−13.1463	+	16.4849i	−0.571577	+	0.716735i
$530$	−2.15046	+	9.42180i	−0.0934102	+	0.409257i
$531$	4.38048	+	5.49294i	0.190097	+	0.238373i
$532$	12.0683	+	17.4248i	0.523229	+	0.755460i
$533$	−14.0995	+	17.6802i	−0.610717	+	0.765814i
$534$	−6.56424	−	8.23129i	−0.284062	−	0.356203i
$535$	−9.24514	+	4.45223i	−0.399702	+	0.192487i
$536$	8.08127	+	10.1336i	0.349058	+	0.437704i
$537$	2.59688	+	11.3777i	0.112064	+	0.490983i
$538$	−6.37047			−0.274650
$539$	−22.2531	−	37.2689i	−0.958511	−	1.60529i
$540$	−10.5693			−0.454832
$541$	6.32568	+	27.7146i	0.271962	+	1.19154i	0.907693	+	0.419634i	$0.137842\pi$
$541$	6.32568	+	27.7146i	0.271962	+	1.19154i	−0.635731	+	0.771911i	$0.719301\pi$
$542$	−3.63385	−	4.55670i	−0.156087	−	0.195727i
$543$	15.9918	−	7.70127i	0.686276	−	0.330493i
$544$	−1.37475	−	1.72388i	−0.0589420	−	0.0739110i
$545$	−1.23469	+	1.54825i	−0.0528881	+	0.0663196i
$546$	2.97766	−	9.91110i	0.127432	−	0.424156i
$547$	−8.06267	−	10.1103i	−0.344735	−	0.432284i	0.578993	−	0.815332i	$-0.303446\pi$
$547$	−8.06267	−	10.1103i	−0.344735	−	0.432284i	−0.923728	+	0.383048i	$0.874874\pi$
$548$	−2.72205	+	11.9261i	−0.116280	+	0.509457i
$549$	−1.21722	+	1.52635i	−0.0519498	+	0.0651430i
$550$	−1.32415	−	5.80150i	−0.0564622	−	0.247377i
$551$	39.8580	+	19.1946i	1.69801	+	0.817718i
$552$	0.337333	+	1.47795i	0.0143578	+	0.0629058i
$553$	−4.66988	−	29.5109i	−0.198584	−	1.25493i
$554$	−2.88238	+	12.6285i	−0.122461	+	0.536535i
$555$	−1.93491	+	2.42630i	−0.0821322	+	0.102991i
$556$	9.15167	+	4.40721i	0.388117	+	0.186908i
$557$	7.85989			0.333034			0.166517	−	0.986039i	$-0.446748\pi$
$557$	7.85989			0.333034			0.166517	+	0.986039i	$0.446748\pi$
$558$	5.93880			0.251409
$559$	20.7456	+	9.99057i	0.877446	+	0.422556i
$560$	0.831212	+	5.25278i	0.0351251	+	0.221970i
$561$	13.4949	−	6.49880i	0.569755	−	0.274379i
$562$	−5.28064	+	2.54302i	−0.222750	+	0.107271i
$563$	4.92375	−	21.5723i	0.207511	−	0.909166i	−0.758705	−	0.651434i	$-0.774168\pi$
$563$	4.92375	−	21.5723i	0.207511	−	0.909166i	0.966216	−	0.257732i	$-0.0829751\pi$
$564$	0.457268	−	2.00342i	0.0192545	−	0.0843593i
$565$	−6.42862	+	3.09586i	−0.270454	+	0.130244i
$566$	12.0202	−	5.78861i	0.505246	−	0.243314i
$567$	0.274368	−	0.913231i	0.0115224	−	0.0383521i
$568$	−6.72701	−	3.23956i	−0.282259	−	0.135929i
$569$	−14.0494			−0.588981			−0.294491	−	0.955654i	$-0.595150\pi$
$569$	−14.0494			−0.588981			−0.294491	+	0.955654i	$0.595150\pi$
$570$	17.6407			0.738888
$571$	−0.645365	−	0.310791i	−0.0270077	−	0.0130062i	0.420331	−	0.907371i	$-0.361914\pi$
$571$	−0.645365	−	0.310791i	−0.0270077	−	0.0130062i	−0.447339	+	0.894365i	$0.647628\pi$
$572$	−13.8048	+	17.3106i	−0.577206	+	0.723793i
$573$	−1.20266	+	5.26919i	−0.0502418	+	0.220124i
$574$	14.5728	+	8.27155i	0.608256	+	0.345248i
$575$	0.295503	+	1.29468i	0.0123233	+	0.0539920i
$576$	1.62169	+	0.780964i	0.0675703	+	0.0325402i
$577$	0.661760	+	2.89936i	0.0275494	+	0.120702i	0.986833	−	0.161743i	$-0.0517116\pi$
$577$	0.661760	+	2.89936i	0.0275494	+	0.120702i	−0.959283	+	0.282445i	$0.908854\pi$
$578$	−7.56809	+	9.49009i	−0.314791	+	0.394736i
$579$	3.56101	−	15.6018i	0.147991	−	0.648390i
$580$	6.92058	+	8.67813i	0.287361	+	0.360340i
$581$	14.4200	+	0.974231i	0.598244	+	0.0404179i
$582$	−7.09335	+	8.89478i	−0.294029	+	0.368700i
$583$	18.5884	+	23.3092i	0.769854	+	0.965367i
$584$	−2.33450	+	1.12423i	−0.0966021	+	0.0465211i
$585$	8.05441	+	10.0999i	0.333009	+	0.417580i
$586$	3.83499	+	16.8022i	0.158422	+	0.694092i
$587$	−7.92051			−0.326915			−0.163457	−	0.986550i	$-0.552265\pi$
$587$	−7.92051			−0.326915			−0.163457	+	0.986550i	$0.552265\pi$
$588$	−7.59863	−	1.03145i	−0.313362	−	0.0425362i
$589$	−26.4329			−1.08915
$590$	−1.74589	−	7.64922i	−0.0718770	−	0.314914i
$591$	2.28572	+	2.86620i	0.0940219	+	0.117900i
$592$	1.26978	−	0.611493i	0.0521876	−	0.0251322i
$593$	−29.0178	−	36.3872i	−1.19162	−	1.49424i	−0.826179	−	0.563407i	$-0.809490\pi$
$593$	−29.0178	−	36.3872i	−1.19162	−	1.49424i	−0.365439	−	0.930835i	$-0.619081\pi$
$594$	−20.3296	+	25.4926i	−0.834135	+	1.04597i
$595$	−10.8838	+	4.36405i	−0.446192	+	0.178909i
$596$	5.98215	+	7.50138i	0.245038	+	0.307268i
$597$	−2.05724	+	9.01337i	−0.0841974	+	0.368893i
$598$	3.08072	−	3.86309i	0.125980	−	0.157974i
$599$	4.64296	+	20.3422i	0.189706	+	0.831158i	0.976771	+	0.214287i	$0.0687428\pi$
$599$	4.64296	+	20.3422i	0.189706	+	0.831158i	−0.787064	+	0.616871i	$0.788400\pi$
$600$	−0.947146	−	0.456121i	−0.0386671	−	0.0186211i
$601$	1.59127	+	6.97183i	0.0649094	+	0.284387i	0.996957	−	0.0779481i	$-0.0248368\pi$
$601$	1.59127	+	6.97183i	0.0649094	+	0.284387i	−0.932048	+	0.362335i	$0.881980\pi$
$602$	4.90928	−	16.3404i	0.200087	−	0.665986i
$603$	5.19133	−	22.7447i	0.211407	−	0.926236i
$604$	−1.75414	+	2.19962i	−0.0713749	+	0.0895013i
$605$	49.7168	+	23.9423i	2.02128	+	0.973395i
$606$	−20.0571			−0.814762
$607$	−44.5938			−1.81001			−0.905003	−	0.425404i	$-0.860132\pi$
$607$	−44.5938			−1.81001			−0.905003	+	0.425404i	$0.860132\pi$
$608$	−7.21794	−	3.47598i	−0.292726	−	0.140969i
$609$	−14.8552	+	5.95647i	−0.601964	+	0.241368i
$610$	1.96428	−	0.945948i	0.0795314	−	0.0383003i
$611$	−6.03455	+	2.90608i	−0.244132	+	0.117568i
$612$	−0.883128	+	3.86924i	−0.0356983	+	0.156405i
$613$	−1.60312	+	7.02371i	−0.0647492	+	0.283685i	−0.996929	−	0.0783108i	$-0.975047\pi$
$613$	−1.60312	+	7.02371i	−0.0647492	+	0.283685i	0.932180	+	0.361996i	$0.117904\pi$
$614$	−26.1841	+	12.6096i	−1.05670	+	0.508881i
$615$	12.5649	−	6.05094i	0.506666	−	0.243998i
$616$	14.2681	+	8.09864i	0.574880	+	0.326304i
$617$	−23.5814	−	11.3562i	−0.949353	−	0.457184i	−0.105893	−	0.994377i	$-0.533770\pi$
$617$	−23.5814	−	11.3562i	−0.949353	−	0.457184i	−0.843459	+	0.537193i	$0.819485\pi$
$618$	−5.51008			−0.221648
$619$	16.0678			0.645819			0.322909	−	0.946430i	$-0.395339\pi$
$619$	16.0678			0.645819			0.322909	+	0.946430i	$0.395339\pi$
$620$	−5.97532	−	2.87756i	−0.239975	−	0.115566i
$621$	4.53683	−	5.68900i	0.182057	−	0.228292i
$622$	−3.12239	+	13.6801i	−0.125196	+	0.548522i
$623$	25.3696	+	1.71399i	1.01641	+	0.0686696i
$624$	0.870381	+	3.81339i	0.0348431	+	0.152658i
$625$	17.3715	+	8.36569i	0.694861	+	0.334627i
$626$	3.08408	+	13.5122i	0.123265	+	0.540058i
$627$	33.9311	−	42.5482i	1.35508	−	1.69921i
$628$	2.74744	−	12.0373i	0.109635	−	0.480342i
$629$	1.93751	+	2.42955i	0.0772534	+	0.0968727i
$630$	6.45914	−	7.06461i	0.257338	−	0.281461i
$631$	4.22522	−	5.29826i	0.168203	−	0.210920i	−0.690584	−	0.723252i	$-0.742647\pi$
$631$	4.22522	−	5.29826i	0.168203	−	0.210920i	0.858788	+	0.512331i	$0.171218\pi$
$632$	7.04099	+	8.82912i	0.280076	+	0.351204i
$633$	13.8126	−	6.65179i	0.549001	−	0.264385i
$634$	−17.0949	−	21.4363i	−0.678926	−	0.851346i
$635$	7.13399	+	31.2561i	0.283104	+	1.24036i
$636$	5.26687			0.208845
$637$	12.8134	+	21.4596i	0.507686	+	0.850259i
$638$	34.2425			1.35567
$639$	2.99048	+	13.1021i	0.118302	+	0.518313i
$640$	−1.25326	−	1.57153i	−0.0495393	−	0.0621203i
$641$	14.0489	−	6.76561i	0.554899	−	0.267225i	−0.135349	−	0.990798i	$-0.543216\pi$
$641$	14.0489	−	6.76561i	0.554899	−	0.267225i	0.690248	+	0.723573i	$0.257501\pi$
$642$	3.48678	+	4.37228i	0.137612	+	0.172560i
$643$	−5.13928	+	6.44445i	−0.202673	+	0.254144i	−0.872772	−	0.488127i	$-0.837680\pi$
$643$	−5.13928	+	6.44445i	−0.202673	+	0.254144i	0.670099	+	0.742272i	$0.266252\pi$
$644$	−3.18413	−	1.80732i	−0.125472	−	0.0712184i
$645$	−8.85364	−	11.1021i	−0.348612	−	0.437145i
$646$	3.93070	−	17.2215i	0.154651	−	0.677571i
$647$	−16.0531	+	20.1300i	−0.631112	+	0.791390i	−0.989860	−	0.142045i	$-0.954632\pi$
$647$	−16.0531	+	20.1300i	−0.631112	+	0.791390i	0.358748	+	0.933435i	$0.383204\pi$
$648$	0.0801988	+	0.351374i	0.00315051	+	0.0138033i
$649$	−21.8076	−	10.5020i	−0.856021	−	0.412238i
$650$	0.762452	+	3.34052i	0.0299058	+	0.131026i
$651$	6.45282	−	7.05771i	0.252906	−	0.276613i
$652$	3.63460	−	15.9242i	0.142342	−	0.623641i
$653$	26.0286	−	32.6388i	1.01858	−	1.27725i	0.0582723	−	0.998301i	$-0.481441\pi$
$653$	26.0286	−	32.6388i	1.01858	−	1.27725i	0.960304	−	0.278954i	$-0.0899877\pi$
$654$	0.972363	+	0.468265i	0.0380224	+	0.0183106i
$655$	−4.48174			−0.175116
$656$	−6.33341			−0.247278
$657$	4.20195	+	2.02355i	0.163934	+	0.0789462i
$658$	2.82581	+	4.08002i	0.110161	+	0.159056i
$659$	−3.53269	+	1.70125i	−0.137614	+	0.0662715i	−0.501424	−	0.865202i	$-0.667190\pi$
$659$	−3.53269	+	1.70125i	−0.137614	+	0.0662715i	0.363810	+	0.931473i	$0.381476\pi$
$660$	12.3023	−	5.92445i	0.478865	−	0.230609i
$661$	−1.73639	+	7.60760i	−0.0675376	+	0.295901i	−0.997405	−	0.0719930i	$-0.977064\pi$
$661$	−1.73639	+	7.60760i	−0.0675376	+	0.295901i	0.929868	+	0.367894i	$0.119921\pi$
$662$	6.45681	−	28.2891i	0.250951	−	1.09949i
$663$	−7.77040	+	3.74203i	−0.301777	+	0.145328i
$664$	−4.92171	+	2.37017i	−0.190999	+	0.0919805i
$665$	−28.7489	+	31.4437i	−1.11483	+	1.21934i
$666$	−2.28552	−	1.10065i	−0.0885622	−	0.0426493i
$667$	−7.64167			−0.295886
$668$	−9.40450			−0.363871
$669$	−6.43943	−	3.10107i	−0.248963	−	0.119894i
$670$	−16.2439	+	20.3692i	−0.627556	+	0.786931i
$671$	1.49664	−	6.55720i	0.0577771	−	0.253138i
$672$	2.69015	−	1.07866i	0.103775	−	0.0416104i
$673$	3.29999	+	14.4582i	0.127205	+	0.557323i	0.997858	+	0.0654237i	$0.0208399\pi$
$673$	3.29999	+	14.4582i	0.127205	+	0.557323i	−0.870652	+	0.491899i	$0.836303\pi$
$674$	−11.1181	−	5.35417i	−0.428252	−	0.206235i
$675$	1.12283	+	4.91944i	0.0432177	+	0.189349i
$676$	−0.156550	+	0.196307i	−0.00602114	+	0.00755027i
$677$	−4.07205	+	17.8408i	−0.156502	+	0.685678i	0.834408	+	0.551147i	$0.185810\pi$
$677$	−4.07205	+	17.8408i	−0.156502	+	0.685678i	−0.990909	+	0.134531i	$0.957047\pi$
$678$	2.42454	+	3.04028i	0.0931138	+	0.116761i
$679$	−4.29459	−	27.1393i	−0.164811	−	1.04151i
$680$	2.76334	−	3.46512i	0.105969	−	0.132881i
$681$	17.0853	+	21.4243i	0.654710	+	0.820980i
$682$	−18.4338	+	8.87723i	−0.705865	+	0.339927i
$683$	9.00901	+	11.2969i	0.344720	+	0.432265i	0.923724	−	0.383060i	$-0.125130\pi$
$683$	9.00901	+	11.2969i	0.344720	+	0.432265i	−0.579003	+	0.815325i	$0.696558\pi$
$684$	3.20872	+	14.0583i	0.122689	+	0.537533i
$685$	−24.5887			−0.939486
$686$	14.2219	−	11.8633i	0.542995	−	0.452942i
$687$	−30.5541			−1.16571
$688$	1.43500	+	6.28713i	0.0547088	+	0.239695i
$689$	−10.7033	−	13.4215i	−0.407762	−	0.511318i
$690$	−2.74541	+	1.32212i	−0.104516	+	0.0503323i
$691$	−23.3005	−	29.2179i	−0.886392	−	1.11150i	−0.993107	−	0.117211i	$-0.962605\pi$
$691$	−23.3005	−	29.2179i	−0.886392	−	1.11150i	0.106715	−	0.994290i	$-0.465967\pi$
$692$	14.2376	−	17.8534i	0.541232	−	0.678684i
$693$	−4.61553	−	29.1675i	−0.175329	−	1.10798i
$694$	8.88244	+	11.1382i	0.337173	+	0.422801i
$695$	−4.54331	+	19.9055i	−0.172337	+	0.755060i
$696$	3.77167	−	4.72952i	0.142965	−	0.179272i
$697$	−3.10744	−	13.6146i	−0.117703	−	0.515690i
$698$	−7.51093	−	3.61707i	−0.284293	−	0.136908i
$699$	−3.33986	−	14.6329i	−0.126325	−	0.553466i
$700$	2.35657	−	0.944909i	0.0890699	−	0.0357142i
$701$	−10.1686	+	44.5517i	−0.384064	+	1.68269i	0.300532	+	0.953772i	$0.402836\pi$
$701$	−10.1686	+	44.5517i	−0.384064	+	1.68269i	−0.684596	+	0.728922i	$0.740022\pi$
$702$	11.7059	−	14.6787i	0.441809	−	0.554011i
$703$	10.1726	+	4.89886i	0.383667	+	0.184764i
$704$	−6.20101			−0.233709
$705$	4.13057			0.155566
$706$	−1.63829	−	0.788960i	−0.0616580	−	0.0296929i
$707$	32.6868	−	35.7508i	1.22931	−	1.34455i
$708$	−3.85253	+	1.85528i	−0.144787	+	0.0697257i
$709$	24.6835	−	11.8870i	0.927010	−	0.446425i	0.0914414	−	0.995810i	$-0.470853\pi$
$709$	24.6835	−	11.8870i	0.927010	−	0.446425i	0.835569	+	0.549386i	$0.185138\pi$
$710$	3.33959	−	14.6317i	0.125333	−	0.549118i
$711$	4.52307	−	19.8168i	0.169628	−	0.743190i
$712$	−8.65890	+	4.16991i	−0.324506	+	0.156274i
$713$	4.11374	−	1.98107i	0.154061	−	0.0741917i
$714$	3.63866	+	5.25364i	0.136173	+	0.196613i
$715$	−40.0977	−	19.3100i	−1.49957	−	0.722154i
$716$	10.6532			0.398128
$717$	−16.8500			−0.629275
$718$	13.7595	+	6.62621i	0.513499	+	0.247288i
$719$	19.9895	−	25.0660i	0.745482	−	0.934805i	−0.253993	−	0.967206i	$-0.581744\pi$
$719$	19.9895	−	25.0660i	0.745482	−	0.934805i	0.999475	+	0.0324008i	$0.0103153\pi$
$720$	−0.805080	+	3.52728i	−0.0300035	+	0.131454i
$721$	8.97971	−	9.82146i	0.334422	−	0.365770i
$722$	−10.0537	−	44.0483i	−0.374161	−	1.63931i
$723$	−5.11345	−	2.46251i	−0.190171	−	0.0915817i
$724$	−3.60544	−	15.7965i	−0.133995	−	0.587070i
$725$	3.30398	−	4.14306i	0.122707	−	0.153869i
$726$	6.69200	−	29.3196i	0.248363	−	1.08815i
$727$	10.3622	+	12.9938i	0.384312	+	0.481912i	0.935931	−	0.352185i	$-0.114561\pi$
$727$	10.3622	+	12.9938i	0.384312	+	0.481912i	−0.551619	+	0.834096i	$0.685990\pi$
$728$	−8.21564	−	4.66322i	−0.304492	−	0.172830i
$729$	11.1788	−	14.0178i	0.414029	−	0.519176i
$730$	−3.24730	−	4.07199i	−0.120188	−	0.150711i
$731$	−12.8111	+	6.16948i	−0.473834	+	0.228187i
$732$	−0.740823	−	0.928963i	−0.0273816	−	0.0343355i
$733$	4.91557	+	21.5365i	0.181561	+	0.795469i	0.980888	+	0.194573i	$0.0623322\pi$
$733$	4.91557	+	21.5365i	0.181561	+	0.795469i	−0.799327	+	0.600896i	$0.794811\pi$
$734$	17.9866			0.663899
$735$	−1.37743	−	15.3522i	−0.0508073	−	0.566273i
$736$	1.38384			0.0510090
$737$	17.8848	+	78.3584i	0.658795	+	2.88637i
$738$	7.10762	+	8.91267i	0.261635	+	0.328080i
$739$	18.1083	−	8.72050i	0.666125	−	0.320789i	−0.0700863	−	0.997541i	$-0.522327\pi$
$739$	18.1083	−	8.72050i	0.666125	−	0.320789i	0.736211	+	0.676752i	$0.236613\pi$
$740$	1.76627	+	2.21484i	0.0649295	+	0.0814191i
$741$	−19.5376	+	24.4994i	−0.717732	+	0.900007i
$742$	−8.58336	+	9.38796i	−0.315105	+	0.344643i
$743$	−15.2816	−	19.1626i	−0.560629	−	0.703006i	0.418045	−	0.908426i	$-0.362715\pi$
$743$	−15.2816	−	19.1626i	−0.560629	−	0.703006i	−0.978674	+	0.205420i	$0.934144\pi$
$744$	−0.804292	+	3.52384i	−0.0294868	+	0.129190i
$745$	−12.0245	+	15.0783i	−0.440544	+	0.552425i
$746$	4.59223	+	20.1199i	0.168134	+	0.736642i
$747$	8.85877	+	4.26616i	0.324126	+	0.156091i
$748$	−3.04249	−	13.3300i	−0.111244	−	0.487393i
$749$	−13.4758	−	0.910435i	−0.492394	−	0.0332666i
$750$	2.92013	−	12.7939i	0.106628	−	0.467169i
$751$	−19.3371	+	24.2479i	−0.705620	+	0.884820i	−0.997429	−	0.0716568i	$-0.977171\pi$
$751$	−19.3371	+	24.2479i	−0.705620	+	0.884820i	0.291809	+	0.956477i	$0.405743\pi$
$752$	−1.69008	−	0.813901i	−0.0616310	−	0.0296799i
$753$	−12.0199			−0.438028
$754$	−19.7169			−0.718048
$755$	−5.09512	−	2.45368i	−0.185431	−	0.0892987i
$756$	−12.0988	−	6.86731i	−0.440029	−	0.249762i
$757$	−31.1638	+	15.0077i	−1.13267	+	0.545463i	−0.903783	−	0.427991i	$-0.859222\pi$
$757$	−31.1638	+	15.0077i	−1.13267	+	0.545463i	−0.228883	+	0.973454i	$0.573507\pi$
$758$	9.17917	−	4.42045i	0.333402	−	0.160558i
$759$	−2.09180	+	9.16479i	−0.0759277	+	0.332661i
$760$	3.58331	−	15.6995i	0.129980	−	0.569482i
$761$	9.48922	−	4.56977i	0.343984	−	0.165654i	−0.253913	−	0.967227i	$-0.581718\pi$
$761$	9.48922	−	4.56977i	0.343984	−	0.165654i	0.597897	+	0.801573i	$0.296003\pi$
$762$	15.7421	−	7.58100i	0.570277	−	0.274631i
$763$	−2.41931	+	0.970066i	−0.0875849	+	0.0351187i
$764$	4.44508	+	2.14064i	0.160817	+	0.0774455i
$765$	−7.97743			−0.288425
$766$	−2.68523			−0.0970213
$767$	12.5569	+	6.04706i	0.453402	+	0.218347i
$768$	−0.683017	+	0.856476i	−0.0246462	+	0.0309054i
$769$	10.9014	−	47.7621i	0.393114	−	1.72234i	−0.260463	−	0.965484i	$-0.583875\pi$
$769$	10.9014	−	47.7621i	0.393114	−	1.72234i	0.653577	−	0.756860i	$-0.273268\pi$
$770$	−9.48878	+	31.5832i	−0.341952	+	1.13818i
$771$	−0.916313	−	4.01463i	−0.0330002	−	0.144583i
$772$	−13.1617	−	6.33832i	−0.473699	−	0.228121i
$773$	−1.86358	−	8.16488i	−0.0670284	−	0.293670i	0.930293	−	0.366818i	$-0.119553\pi$
$773$	−1.86358	−	8.16488i	−0.0670284	−	0.293670i	−0.997321	+	0.0731475i	$0.976696\pi$
$774$	7.23714	−	9.07509i	0.260134	−	0.326197i
$775$	−0.704559	+	3.08687i	−0.0253085	+	0.110884i
$776$	6.47514	+	8.11957i	0.232444	+	0.291476i
$777$	−3.79136	+	1.52021i	−0.136014	+	0.0545374i
$778$	−4.53048	+	5.68104i	−0.162426	+	0.203675i
$779$	−31.6352	−	39.6693i	−1.13345	−	1.42130i
$780$	−7.08368	+	3.41132i	−0.253636	+	0.122145i
$781$	−28.8672	−	36.1983i	−1.03295	−	1.29528i
$782$	0.678972	+	2.97477i	0.0242800	+	0.106378i
$783$	−29.0362			−1.03767
$784$	−2.46144	+	6.55296i	−0.0879086	+	0.234034i
$785$	24.8181			0.885796
$786$	0.543512	+	2.38128i	0.0193864	+	0.0849374i
$787$	17.9650	+	22.5274i	0.640384	+	0.803016i	0.991051	−	0.133484i	$-0.0426165\pi$
$787$	17.9650	+	22.5274i	0.640384	+	0.803016i	−0.350667	+	0.936500i	$0.614045\pi$
$788$	3.01510	−	1.45199i	0.107408	−	0.0517252i
$789$	10.1341	+	12.7078i	0.360785	+	0.452410i
$790$	−14.1529	+	17.7471i	−0.503536	+	0.631414i
$791$	−9.37040	−	0.633073i	−0.333173	−	0.0225095i
$792$	6.95904	+	8.72636i	0.247279	+	0.310078i
$793$	−0.861769	+	3.77566i	−0.0306023	+	0.134077i
$794$	23.3377	−	29.2645i	0.828224	−	1.03856i
$795$	2.35578	+	10.3213i	0.0835508	+	0.366060i
$796$	7.60366	+	3.66173i	0.269505	+	0.129787i
$797$	−2.80611	−	12.2944i	−0.0993974	−	0.435488i	−1.00000		0.000844254i	$-0.999731\pi$
$797$	−2.80611	−	12.2944i	−0.0993974	−	0.435488i	0.900602	−	0.434644i	$-0.143126\pi$
$798$	20.1934	+	11.4619i	0.714840	+	0.405745i
$799$	0.920374	−	4.03242i	0.0325605	−	0.142657i
$800$	−0.598322	+	0.750271i	−0.0211539	+	0.0265261i
$801$	15.5855	+	7.50557i	0.550686	+	0.265196i
$802$	−20.2432			−0.714813
$803$	−16.0674			−0.567007
$804$	12.7927	+	6.16063i	0.451163	+	0.217269i
$805$	2.11755	−	7.04822i	0.0746338	−	0.248417i
$806$	10.6142	−	5.11153i	0.373870	−	0.180046i
$807$	−6.28757	+	3.02793i	−0.221333	+	0.106588i
$808$	−4.07414	+	17.8500i	−0.143328	+	0.627960i
$809$	−10.9931	+	48.1640i	−0.386497	+	1.69336i	0.290095	+	0.956998i	$0.406313\pi$
$809$	−10.9931	+	48.1640i	−0.386497	+	1.69336i	−0.676592	+	0.736358i	$0.736544\pi$
$810$	−0.652705	+	0.314326i	−0.0229337	+	0.0110443i
$811$	33.7016	−	16.2298i	1.18342	−	0.569907i	0.264516	−	0.964381i	$-0.414788\pi$
$811$	33.7016	−	16.2298i	1.18342	−	0.569907i	0.918907	+	0.394475i	$0.129073\pi$
$812$	2.28351	+	14.4305i	0.0801356	+	0.506411i
$813$	−5.75240	−	2.77021i	−0.201745	−	0.0971555i
$814$	8.73939			0.306315
$815$	32.8319			1.15005
$816$	−2.17624	−	1.04802i	−0.0761836	−	0.0366881i
$817$	−32.2117	+	40.3921i	−1.12694	+	1.41314i
$818$	−1.91654	+	8.39689i	−0.0670101	+	0.293590i
$819$	2.65764	+	16.7947i	0.0928653	+	0.586855i
$820$	−2.83282	−	12.4114i	−0.0989263	−	0.433424i
$821$	−43.0646	−	20.7388i	−1.50296	−	0.723789i	−0.512134	−	0.858906i	$-0.671145\pi$
$821$	−43.0646	−	20.7388i	−1.50296	−	0.723789i	−0.990830	+	0.135116i	$0.956859\pi$
$822$	2.98193	+	13.0647i	0.104007	+	0.455684i
$823$	−14.1422	+	17.7338i	−0.492967	+	0.618162i	−0.964627	−	0.263619i	$-0.915084\pi$
$823$	−14.1422	+	17.7338i	−0.492967	+	0.618162i	0.471659	+	0.881781i	$0.343655\pi$
$824$	−1.11925	+	4.90375i	−0.0389909	+	0.170830i
$825$	−4.06443	−	5.09663i	−0.141505	−	0.177442i
$826$	2.97147	−	9.89049i	0.103391	−	0.344134i
$827$	13.5849	−	17.0349i	0.472392	−	0.592361i	−0.487363	−	0.873199i	$-0.662041\pi$
$827$	13.5849	−	17.0349i	0.472392	−	0.592361i	0.959755	+	0.280839i	$0.0906126\pi$
$828$	−1.55300	−	1.94740i	−0.0539706	−	0.0676770i
$829$	−4.69831	+	2.26259i	−0.163179	+	0.0785829i	−0.513691	−	0.857976i	$-0.671722\pi$
$829$	−4.69831	+	2.26259i	−0.163179	+	0.0785829i	0.350511	+	0.936558i	$0.386008\pi$
$830$	−6.84614	−	8.58479i	−0.237633	−	0.297982i
$831$	3.15757	+	13.8342i	0.109535	+	0.479904i
$832$	3.57056			0.123787
$833$	−15.2943	−	2.07606i	−0.529915	−	0.0719314i
$834$	11.1274			0.385309
$835$	−4.20646	−	18.4297i	−0.145571	−	0.637787i
$836$	−30.9739	−	38.8400i	−1.07125	−	1.34331i
$837$	15.6311	−	7.52752i	0.540289	−	0.260189i
$838$	20.6367	+	25.8776i	0.712883	+	0.893927i
$839$	−0.367237	+	0.460501i	−0.0126784	+	0.0158982i	−0.788130	−	0.615508i	$-0.788951\pi$
$839$	−0.367237	+	0.460501i	−0.0126784	+	0.0158982i	0.775452	+	0.631407i	$0.217522\pi$
$840$	3.31708	+	4.78934i	0.114450	+	0.165248i
$841$	0.931076	+	1.16753i	0.0321061	+	0.0402597i
$842$	1.17467	−	5.14657i	0.0404819	−	0.177363i
$843$	−4.00320	+	5.01986i	−0.137878	+	0.172893i
$844$	−3.11411	−	13.6438i	−0.107192	−	0.469639i
$845$	−0.454719	−	0.218981i	−0.0156428	−	0.00753318i
$846$	0.751323	+	3.29176i	0.0258310	+	0.113173i
$847$	41.3549	+	59.7099i	1.42097	+	2.05166i
$848$	1.06985	−	4.68731i	0.0367387	−	0.160963i
$849$	9.11239	−	11.4266i	0.312737	−	0.392159i
$850$	−1.90638	−	0.918066i	−0.0653884	−	0.0314894i
$851$	−1.95031			−0.0668558
$852$	−8.17926			−0.280217
$853$	−39.5036	−	19.0239i	−1.35258	−	0.651367i	−0.389609	−	0.920980i	$-0.627390\pi$
$853$	−39.5036	−	19.0239i	−1.35258	−	0.651367i	−0.962969	+	0.269613i	$0.913104\pi$
$854$	2.86315	+	0.193437i	0.0979748	+	0.00661927i
$855$	−26.1145	+	12.5761i	−0.893096	+	0.430092i
$856$	4.59942	−	2.21496i	0.157205	−	0.0757059i
$857$	6.79450	−	29.7687i	0.232096	−	1.01688i	−0.715802	−	0.698303i	$-0.753939\pi$
$857$	6.79450	−	29.7687i	0.232096	−	1.01688i	0.947898	−	0.318575i	$-0.103204\pi$
$858$	−5.39724	+	23.6469i	−0.184259	+	0.807291i
$859$	42.2273	−	20.3356i	1.44078	−	0.693841i	0.459810	−	0.888017i	$-0.347918\pi$
$859$	42.2273	−	20.3356i	1.44078	−	0.693841i	0.980967	+	0.194176i	$0.0622033\pi$
$860$	−11.6789	+	5.62424i	−0.398246	+	0.191785i
$861$	18.3147	+	1.23736i	0.624163	+	0.0421690i
$862$	9.12916	+	4.39637i	0.310940	+	0.149741i
$863$	29.5488			1.00585			0.502926	−	0.864330i	$-0.332257\pi$
$863$	29.5488			1.00585			0.502926	+	0.864330i	$0.332257\pi$
$864$	5.25820			0.178888
$865$	41.3550	+	19.9155i	1.40611	+	0.677147i
$866$	14.9321	−	18.7242i	0.507412	−	0.636275i
$867$	−2.95890	+	12.9638i	−0.100489	+	0.440273i
$868$	−4.97033	−	7.17637i	−0.168704	−	0.243582i
$869$	15.5825	+	68.2715i	0.528601	+	2.31595i
$870$	10.9553	+	5.27580i	0.371420	+	0.178866i
$871$	−10.2981	−	45.1190i	−0.348938	−	1.52880i
$872$	0.614251	−	0.770247i	0.0208012	−	0.0260838i
$873$	4.15957	−	18.2243i	0.140780	−	0.616798i
$874$	6.91223	+	8.66767i	0.233810	+	0.293188i
$875$	18.0457	+	26.0551i	0.610056	+	0.880825i
$876$	−1.76976	+	2.21921i	−0.0597947	+	0.0749801i
$877$	7.17269	+	8.99427i	0.242205	+	0.303715i	0.888044	−	0.459758i	$-0.152064\pi$
$877$	7.17269	+	8.99427i	0.242205	+	0.303715i	−0.645840	+	0.763473i	$0.723493\pi$
$878$	−14.2797	+	6.87676i	−0.481918	+	0.232079i
$879$	11.7713	+	14.7608i	0.397036	+	0.497868i
$880$	−2.77360	−	12.1519i	−0.0934981	−	0.409642i
$881$	45.4985			1.53288			0.766441	−	0.642315i	$-0.222026\pi$
$881$	45.4985			1.53288			0.766441	+	0.642315i	$0.222026\pi$
$882$	11.9840	−	3.89016i	0.403521	−	0.130988i
$883$	51.0880			1.71925			0.859624	−	0.510927i	$-0.170698\pi$
$883$	51.0880			1.71925			0.859624	+	0.510927i	$0.170698\pi$
$884$	1.75187	+	7.67546i	0.0589219	+	0.258154i
$885$	−5.35891	−	6.71986i	−0.180138	−	0.225885i
$886$	−18.5704	+	8.94304i	−0.623885	+	0.300447i
$887$	10.4216	+	13.0683i	0.349923	+	0.438790i	0.925379	−	0.379043i	$-0.123747\pi$
$887$	10.4216	+	13.0683i	0.349923	+	0.438790i	−0.575456	+	0.817833i	$0.695175\pi$
$888$	0.962608	−	1.20707i	0.0323030	−	0.0405067i
$889$	−12.1420	+	40.4143i	−0.407228	+	1.35545i
$890$	−12.0446	−	15.1035i	−0.403736	−	0.506269i
$891$	−0.497314	+	2.17887i	−0.0166606	+	0.0729950i
$892$	−4.06785	+	5.10092i	−0.136202	+	0.170792i
$893$	−3.34405	−	14.6512i	−0.111904	−	0.490285i
$894$	9.46977	+	4.56040i	0.316717	+	0.152523i
$895$	4.76498	+	20.8767i	0.159276	+	0.697832i
$896$	−0.413525	−	2.61324i	−0.0138149	−	0.0873021i
$897$	1.20447	−	5.27711i	0.0402160	−	0.176198i
$898$	16.7467	−	20.9996i	0.558843	−	0.700767i
$899$	−16.4155	−	7.90528i	−0.547487	−	0.263656i
$900$	1.72728			0.0575760
$901$	10.6010			0.353170
$902$	−35.3842	−	17.0401i	−1.17817	−	0.567375i
$903$	−2.92135	−	18.4612i	−0.0972164	−	0.614351i
$904$	3.19821	−	1.54018i	0.106371	−	0.0512256i
$905$	29.3432	−	14.1309i	0.975400	−	0.469728i
$906$	−0.685816	+	3.00475i	−0.0227847	+	0.0998263i
$907$	2.54569	−	11.1534i	0.0845282	−	0.370342i	−0.914917	−	0.403641i	$-0.867744\pi$
$907$	2.54569	−	11.1534i	0.0845282	−	0.370342i	0.999445	+	0.0332993i	$0.0106015\pi$
$908$	22.5372	−	10.8534i	0.747925	−	0.360182i
$909$	29.6915	−	14.2987i	0.984806	−	0.474257i
$910$	5.46367	−	18.1857i	0.181119	−	0.602851i
$911$	−3.92131	−	1.88840i	−0.129919	−	0.0625656i	0.367795	−	0.929907i	$-0.380113\pi$
$911$	−3.92131	−	1.88840i	−0.129919	−	0.0625656i	−0.497714	+	0.867341i	$0.665827\pi$
$912$	−8.77618			−0.290608
$913$	−33.8742			−1.12107
$914$	4.26127	+	2.05212i	0.140950	+	0.0678781i
$915$	1.48910	−	1.86728i	0.0492283	−	0.0617303i
$916$	−6.20638	+	27.1919i	−0.205064	+	0.898446i
$917$	−5.13028	−	2.91196i	−0.169417	−	0.0961614i
$918$	2.57990	+	11.3033i	0.0851495	+	0.373064i
$919$	−51.6149	−	24.8564i	−1.70262	−	0.819938i	−0.993368	−	0.114982i	$-0.963319\pi$
$919$	−51.6149	−	24.8564i	−1.70262	−	0.819938i	−0.709251	−	0.704956i	$-0.750967\pi$
$920$	0.618966	+	2.71187i	0.0204067	+	0.0894076i
$921$	−19.8499	+	24.8910i	−0.654077	+	0.820187i
$922$	−2.61964	+	11.4774i	−0.0862734	+	0.377988i
$923$	16.6218	+	20.8431i	0.547113	+	0.686059i
$924$	17.9318	+	1.21149i	0.589914	+	0.0398551i
$925$	0.843243	−	1.05739i	0.0277257	−	0.0347669i
$926$	1.55962	+	1.95570i	0.0512524	+	0.0642684i
$927$	8.15686	−	3.92814i	0.267906	−	0.129017i
$928$	−3.44296	−	4.31733i	−0.113021	−	0.141723i
$929$	−4.40652	−	19.3062i	−0.144573	−	0.633417i	−0.994339	−	0.106256i	$-0.966114\pi$
$929$	−4.40652	−	19.3062i	−0.144573	−	0.633417i	0.849765	−	0.527161i	$-0.176744\pi$
$930$	−7.26530			−0.238239
$931$	−53.3393	+	17.3146i	−1.74812	+	0.567464i
$932$	−13.7011			−0.448794
$933$	3.42050	+	14.9862i	0.111982	+	0.490625i
$934$	12.1382	+	15.2208i	0.397174	+	0.498041i
$935$	24.7616	−	11.9245i	0.809790	−	0.389974i
$936$	−4.00704	−	5.02467i	−0.130974	−	0.164236i
$937$	−4.84749	+	6.07856i	−0.158361	+	0.198578i	−0.854682	−	0.519153i	$-0.826248\pi$
$937$	−4.84749	+	6.07856i	−0.158361	+	0.198578i	0.696321	+	0.717731i	$0.254819\pi$
$938$	−31.8292	+	12.7625i	−1.03926	+	0.416710i
$939$	9.46643	+	11.8705i	0.308925	+	0.387380i
$940$	0.839034	−	3.67605i	0.0273663	−	0.119899i
$941$	−21.9876	+	27.5715i	−0.716775	+	0.898807i	−0.998151	−	0.0607908i	$-0.980638\pi$
$941$	−21.9876	+	27.5715i	−0.716775	+	0.898807i	0.281376	+	0.959598i	$0.409209\pi$
$942$	−3.00975	−	13.1866i	−0.0980631	−	0.429642i
$943$	7.89647	+	3.80274i	0.257144	+	0.123834i
$944$	0.868571	+	3.80546i	0.0282696	+	0.123857i
$945$	8.04609	−	26.7813i	0.261739	−	0.871195i
$946$	−8.89844	+	38.9866i	−0.289313	+	1.26756i
$947$	9.09862	−	11.4093i	0.295665	−	0.370753i	−0.611704	−	0.791087i	$-0.709516\pi$
$947$	9.09862	−	11.4093i	0.295665	−	0.370753i	0.907369	+	0.420334i	$0.138087\pi$
$948$	11.1459	+	5.36759i	0.362003	+	0.174331i
$949$	9.25166			0.300322
$950$	−7.68792			−0.249429
$951$	−27.0613	−	13.0321i	−0.877524	−	0.422593i
$952$	5.41465	−	2.17110i	0.175490	−	0.0703657i
$953$	34.9326	−	16.8227i	1.13158	−	0.544940i	0.228128	−	0.973631i	$-0.426740\pi$
$953$	34.9326	−	16.8227i	1.13158	−	0.544940i	0.903451	+	0.428691i	$0.141025\pi$
$954$	−7.79683	+	3.75476i	−0.252432	+	0.121565i
$955$	−2.20674	+	9.66835i	−0.0714084	+	0.312860i
$956$	−3.42270	+	14.9958i	−0.110698	+	0.485000i
$957$	33.7969	−	16.2757i	1.09250	−	0.526119i
$958$	21.3573	−	10.2851i	0.690024	−	0.332298i
$959$	−28.1469	−	15.9762i	−0.908910	−	0.515900i
$960$	−1.98391	−	0.955401i	−0.0640304	−	0.0308354i
$961$	−20.1136			−0.648827
$962$	−5.03217			−0.162244
$963$	−8.27867	−	3.98680i	−0.266776	−	0.128473i
$964$	−3.23022	+	4.05057i	−0.104038	+	0.130460i
$965$	6.53405	−	28.6275i	0.210338	−	0.921553i
$966$	−4.00173	−	0.270360i	−0.128753	−	0.00869870i
$967$	−6.83775	−	29.9581i	−0.219887	−	0.963388i	−0.957561	−	0.288231i	$-0.906933\pi$
$967$	−6.83775	−	29.9581i	−0.219887	−	0.963388i	0.737674	−	0.675157i	$-0.235924\pi$
$968$	−24.7339	−	11.9112i	−0.794978	−	0.382841i
$969$	−4.30597	−	18.8657i	−0.138328	−	0.606054i
$970$	−13.0155	+	16.3209i	−0.417902	+	0.524032i
$971$	3.07082	−	13.4541i	0.0985472	−	0.431763i	−0.901452	−	0.432879i	$-0.857498\pi$
$971$	3.07082	−	13.4541i	0.0985472	−	0.431763i	0.999999	+	0.00111528i	$0.000355005\pi$
$972$	−9.58914	−	12.0244i	−0.307572	−	0.385683i
$973$	−18.1342	+	19.8340i	−0.581354	+	0.635850i
$974$	−11.6257	+	14.5781i	−0.372510	+	0.467113i
$975$	2.34031	+	2.93465i	0.0749498	+	0.0939841i
$976$	−0.977222	+	0.470605i	−0.0312801	+	0.0150637i
$977$	10.5500	+	13.2293i	0.337525	+	0.423243i	0.921409	−	0.388594i	$-0.127039\pi$
$977$	10.5500	+	13.2293i	0.337525	+	0.423243i	−0.583884	+	0.811837i	$0.698468\pi$
$978$	−3.98161	−	17.4446i	−0.127318	−	0.557816i
$979$	−59.5958			−1.90469
$980$	−13.9426	−	1.89259i	−0.445380	−	0.0604565i
$981$	−1.77327			−0.0566161
$982$	7.02898	+	30.7960i	0.224304	+	0.982740i
$983$	25.0265	+	31.3822i	0.798221	+	1.00094i	0.999770	+	0.0214588i	$0.00683108\pi$
$983$	25.0265	+	31.3822i	0.798221	+	1.00094i	−0.201549	+	0.979478i	$0.564597\pi$
$984$	−6.25099	+	3.01032i	−0.199274	+	0.0959655i
$985$	4.19403	+	5.25914i	0.133633	+	0.167570i
$986$	7.59149	−	9.51942i	0.241762	−	0.303160i
$987$	4.72830	+	2.68380i	0.150503	+	0.0854262i
$988$	17.8349	+	22.3642i	0.567402	+	0.711500i
$989$	1.98581	−	8.70038i	0.0631449	−	0.276656i
$990$	−13.9881	+	17.5406i	−0.444572	+	0.557476i
$991$	−10.3750	−	45.4560i	−0.329574	−	1.44396i	−0.819944	−	0.572444i	$-0.805995\pi$
$991$	−10.3750	−	45.4560i	−0.329574	−	1.44396i	0.490369	−	0.871515i	$-0.336862\pi$
$992$	2.97270	+	1.43158i	0.0943833	+	0.0454526i
$993$	−7.07327	−	30.9900i	−0.224463	−	0.983438i
$994$	13.3297	−	14.5792i	0.422791	−	0.462423i
$995$	−3.77480	+	16.5385i	−0.119669	+	0.524305i
$996$	−3.73110	+	4.67866i	−0.118225	+	0.148249i
$997$	−41.0712	−	19.7788i	−1.30074	−	0.626402i	−0.350102	−	0.936712i	$-0.613853\pi$
$997$	−41.0712	−	19.7788i	−1.30074	−	0.626402i	−0.950636	+	0.310310i	$0.899567\pi$
$998$	18.5425			0.586953
$999$	−7.41064			−0.234462

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.a.85.1	yes	18
3.2	odd	2		882.2.u.j.379.2		18
4.3	odd	2		784.2.u.c.673.3		18
7.2	even	3		686.2.g.i.655.3		36
7.3	odd	6		686.2.g.j.471.3		36
7.4	even	3		686.2.g.i.471.1		36
7.5	odd	6		686.2.g.j.655.1		36
7.6	odd	2		686.2.e.a.589.3		18
49.8	even	7		4802.2.a.h.1.2		9
49.9	even	21		686.2.g.i.67.1		36
49.15	even	7	inner	98.2.e.a.15.1	✓	18
49.24	odd	42		686.2.g.j.177.1		36
49.25	even	21		686.2.g.i.177.3		36
49.34	odd	14		686.2.e.a.99.3		18
49.40	odd	42		686.2.g.j.67.3		36
49.41	odd	14		4802.2.a.e.1.8		9
147.113	odd	14		882.2.u.j.505.2		18
196.15	odd	14		784.2.u.c.113.3		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.a.15.1	✓	18	49.15	even	7	inner
98.2.e.a.85.1	yes	18	1.1	even	1	trivial
686.2.e.a.99.3		18	49.34	odd	14
686.2.e.a.589.3		18	7.6	odd	2
686.2.g.i.67.1		36	49.9	even	21
686.2.g.i.177.3		36	49.25	even	21
686.2.g.i.471.1		36	7.4	even	3
686.2.g.i.655.3		36	7.2	even	3
686.2.g.j.67.3		36	49.40	odd	42
686.2.g.j.177.1		36	49.24	odd	42
686.2.g.j.471.3		36	7.3	odd	6
686.2.g.j.655.1		36	7.5	odd	6
784.2.u.c.113.3		18	196.15	odd	14
784.2.u.c.673.3		18	4.3	odd	2
882.2.u.j.379.2		18	3.2	odd	2
882.2.u.j.505.2		18	147.113	odd	14
4802.2.a.e.1.8		9	49.41	odd	14
4802.2.a.h.1.2		9	49.8	even	7

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.222521 - 0.974928i) q^{2} +(-0.683017 - 0.856476i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-1.25326 - 1.57153i) q^{5} +(-0.683017 + 0.856476i) q^{6} +(-0.413525 - 2.61324i) q^{7} +(0.623490 + 0.781831i) q^{8} +(0.400524 - 1.75481i) q^{9} +O(q^{10})\)	\(q+(-0.222521 - 0.974928i) q^{2} +(-0.683017 - 0.856476i) q^{3} +(-0.900969 + 0.433884i) q^{4} +(-1.25326 - 1.57153i) q^{5} +(-0.683017 + 0.856476i) q^{6} +(-0.413525 - 2.61324i) q^{7} +(0.623490 + 0.781831i) q^{8} +(0.400524 - 1.75481i) q^{9} +(-1.25326 + 1.57153i) q^{10} +(1.37986 + 6.04554i) q^{11} +(0.986987 + 0.475308i) q^{12} +(-0.794525 - 3.48104i) q^{13} +(-2.45570 + 0.984656i) q^{14} +(-0.489985 + 2.14677i) q^{15} +(0.623490 - 0.781831i) q^{16} +(1.98657 + 0.956684i) q^{17} -1.79994 q^{18} +8.01131 q^{19} +(1.81101 + 0.872135i) q^{20} +(-1.95573 + 2.13906i) q^{21} +(5.58692 - 2.69052i) q^{22} +(-1.24680 + 0.600425i) q^{23} +(0.243766 - 1.06801i) q^{24} +(0.213538 - 0.935573i) q^{25} +(-3.21697 + 1.54921i) q^{26} +(-4.73748 + 2.28145i) q^{27} +(1.50641 + 2.17502i) q^{28} +(4.97522 + 2.39594i) q^{29} +2.20197 q^{30} -3.29945 q^{31} +(-0.900969 - 0.433884i) q^{32} +(4.23539 - 5.31102i) q^{33} +(0.490643 - 2.14965i) q^{34} +(-3.58853 + 3.92492i) q^{35} +(0.400524 + 1.75481i) q^{36} +(1.26978 + 0.611493i) q^{37} +(-1.78268 - 7.81045i) q^{38} +(-2.43875 + 3.05810i) q^{39} +(0.447282 - 1.95967i) q^{40} +(-3.94881 - 4.95166i) q^{41} +(2.52062 + 1.43071i) q^{42} +(-4.02077 + 5.04189i) q^{43} +(-3.86627 - 4.84815i) q^{44} +(-3.25970 + 1.56979i) q^{45} +(0.862810 + 1.08193i) q^{46} +(-0.417416 - 1.82882i) q^{47} -1.09547 q^{48} +(-6.65799 + 2.16127i) q^{49} -0.959633 q^{50} +(-0.537487 - 2.35488i) q^{51} +(2.22621 + 2.79158i) q^{52} +(4.33172 - 2.08605i) q^{53} +(3.27844 + 4.11103i) q^{54} +(7.77146 - 9.74510i) q^{55} +(1.78528 - 1.95263i) q^{56} +(-5.47186 - 6.86149i) q^{57} +(1.22878 - 5.38363i) q^{58} +(-2.43368 + 3.05174i) q^{59} +(-0.489985 - 2.14677i) q^{60} +(-0.977222 - 0.470605i) q^{61} +(0.734196 + 3.21672i) q^{62} +(-4.75136 - 0.321006i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(-4.47483 + 5.61126i) q^{65} +(-6.12032 - 2.94739i) q^{66} +12.9613 q^{67} -2.20493 q^{68} +(1.36583 + 0.657750i) q^{69} +(4.62504 + 2.62518i) q^{70} +(-6.72701 + 3.23956i) q^{71} +(1.62169 - 0.780964i) q^{72} +(-0.576573 + 2.52613i) q^{73} +(0.313610 - 1.37401i) q^{74} +(-0.947146 + 0.456121i) q^{75} +(-7.21794 + 3.47598i) q^{76} +(15.2278 - 6.10587i) q^{77} +(3.52410 + 1.69712i) q^{78} +11.2929 q^{79} -2.01007 q^{80} +(0.324718 + 0.156376i) q^{81} +(-3.94881 + 4.95166i) q^{82} +(-1.21556 + 5.32572i) q^{83} +(0.833948 - 2.77578i) q^{84} +(-0.986226 - 4.32094i) q^{85} +(5.81018 + 2.79804i) q^{86} +(-1.34609 - 5.89762i) q^{87} +(-3.86627 + 4.84815i) q^{88} +(-2.13857 + 9.36969i) q^{89} +(2.25578 + 2.82866i) q^{90} +(-8.76822 + 3.51578i) q^{91} +(0.862810 - 1.08193i) q^{92} +(2.25358 + 2.82590i) q^{93} +(-1.69008 + 0.813901i) q^{94} +(-10.0402 - 12.5900i) q^{95} +(0.243766 + 1.06801i) q^{96} +10.3853 q^{97} +(3.58863 + 6.01014i) q^{98} +11.1614 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

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