LMFDB - Embedded newform 72.2.n.b.61.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [72,2,Mod(13,72)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(72, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 2]))

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

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

chi := DirichletCharacter("72.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 72 = 2^{3} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	72.n (of order $6$, degree $2$, 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:	$0.574922894553$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$8$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - x^{15} + x^{14} + 2 x^{12} - 4 x^{11} - 8 x^{9} + 4 x^{8} - 16 x^{7} - 32 x^{5} + 32 x^{4} + \cdots + 256 $ x^16 - x^15 + x^14 + 2x^12 - 4x^11 - 8x^9 + 4x^8 - 16x^7 - 32x^5 + 32x^4 + 64x^2 - 128*x + 256
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 2^{2}\cdot 3^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			61.6
Root			$0.587625 - 1.28635i$ of defining polynomial
Character	$\chi$	$=$	72.61
Dual form			72.2.n.b.13.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.820200 - 1.15207i) q^{2} +(-1.69028 - 0.378078i) q^{3} +(-0.654545 - 1.88986i) q^{4} +(1.97542 - 1.14051i) q^{5} +(-1.82194 + 1.63723i) q^{6} +(-0.907824 + 1.57240i) q^{7} +(-2.71411 - 0.795980i) q^{8} +(2.71411 + 1.27812i) q^{9} +O(q^{10})$	\(q+(0.820200 - 1.15207i) q^{2} +(-1.69028 - 0.378078i) q^{3} +(-0.654545 - 1.88986i) q^{4} +(1.97542 - 1.14051i) q^{5} +(-1.82194 + 1.63723i) q^{6} +(-0.907824 + 1.57240i) q^{7} +(-2.71411 - 0.795980i) q^{8} +(2.71411 + 1.27812i) q^{9} +(0.306290 - 3.21128i) q^{10} +(4.24153 + 2.44885i) q^{11} +(0.391851 + 3.44187i) q^{12} +(-4.00895 + 2.31457i) q^{13} +(1.06692 + 2.33556i) q^{14} +(-3.77023 + 1.18092i) q^{15} +(-3.14314 + 2.47400i) q^{16} +1.92788 q^{17} +(3.69860 - 2.07855i) q^{18} -2.12907i q^{19} +(-3.44841 - 2.98676i) q^{20} +(2.12897 - 2.31457i) q^{21} +(6.30015 - 2.87801i) q^{22} +(-1.15765 - 2.00511i) q^{23} +(4.28668 + 2.37158i) q^{24} +(0.101535 - 0.175863i) q^{25} +(-0.621589 + 6.51702i) q^{26} +(-4.10439 - 3.18653i) q^{27} +(3.56582 + 0.686457i) q^{28} +(-3.16440 - 1.82697i) q^{29} +(-1.73183 + 5.31217i) q^{30} +(-2.65800 - 4.60379i) q^{31} +(0.272218 + 5.65030i) q^{32} +(-6.24353 - 5.74287i) q^{33} +(1.58125 - 2.22106i) q^{34} +4.14154i q^{35} +(0.638954 - 5.96588i) q^{36} +7.98438i q^{37} +(-2.45284 - 1.74626i) q^{38} +(7.65135 - 2.39658i) q^{39} +(-6.26935 + 1.52308i) q^{40} +(-2.36240 - 4.09180i) q^{41} +(-0.920373 - 4.35114i) q^{42} +(2.20800 + 1.27479i) q^{43} +(1.85171 - 9.61877i) q^{44} +(6.81924 - 0.570655i) q^{45} +(-3.25953 - 0.310892i) q^{46} +(-2.02005 + 3.49884i) q^{47} +(6.24816 - 2.99340i) q^{48} +(1.85171 + 3.20726i) q^{49} +(-0.119328 - 0.261218i) q^{50} +(-3.25866 - 0.728888i) q^{51} +(6.99825 + 6.06137i) q^{52} -8.95958i q^{53} +(-7.03753 + 2.11497i) q^{54} +11.1718 q^{55} +(3.71554 - 3.54506i) q^{56} +(-0.804954 + 3.59873i) q^{57} +(-4.70024 + 2.14714i) q^{58} +(-3.05255 + 1.76239i) q^{59} +(4.69956 + 6.35224i) q^{60} +(-1.71675 - 0.991165i) q^{61} +(-7.48399 - 0.713818i) q^{62} +(-4.47365 + 3.10736i) q^{63} +(6.73283 + 4.32076i) q^{64} +(-5.27959 + 9.14451i) q^{65} +(-11.7371 + 2.48270i) q^{66} +(7.72723 - 4.46132i) q^{67} +(-1.26188 - 3.64342i) q^{68} +(1.19867 + 3.82688i) q^{69} +(4.77135 + 3.39689i) q^{70} +13.3561 q^{71} +(-6.34906 - 5.62934i) q^{72} -11.5592 q^{73} +(9.19859 + 6.54879i) q^{74} +(-0.238112 + 0.258870i) q^{75} +(-4.02364 + 1.39357i) q^{76} +(-7.70112 + 4.44625i) q^{77} +(3.51460 - 10.7806i) q^{78} +(-4.97330 + 8.61401i) q^{79} +(-3.38742 + 8.47198i) q^{80} +(5.73283 + 6.93791i) q^{81} +(-6.65170 - 0.634435i) q^{82} +(-3.12153 - 1.80221i) q^{83} +(-5.76772 - 2.50847i) q^{84} +(3.80838 - 2.19877i) q^{85} +(3.27965 - 1.49820i) q^{86} +(4.65800 + 4.28448i) q^{87} +(-9.56276 - 10.0226i) q^{88} +2.49965 q^{89} +(4.93570 - 8.32431i) q^{90} -8.40489i q^{91} +(-3.03164 + 3.50023i) q^{92} +(2.75218 + 8.78664i) q^{93} +(2.37407 + 5.19699i) q^{94} +(-2.42823 - 4.20582i) q^{95} +(1.67613 - 9.65353i) q^{96} +(6.99370 - 12.1134i) q^{97} +(5.21376 + 0.497285i) q^{98} +(8.38208 + 12.0676i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q + q^{2} - q^{4} - 7 q^{6} + 6 q^{7} - 2 q^{8} + 2 q^{9}+O(q^{10}) $ 16 * q + q^2 - q^4 - 7 * q^6 + 6 * q^7 - 2 * q^8 + 2 * q^9	$ 16 q + q^{2} - q^{4} - 7 q^{6} + 6 q^{7} - 2 q^{8} + 2 q^{9} - 16 q^{10} - 16 q^{12} + 16 q^{14} - 10 q^{15} - 9 q^{16} - 28 q^{17} + 4 q^{18} - 8 q^{20} + q^{22} - 10 q^{23} + 7 q^{24} + 2 q^{25} + 28 q^{26} + 4 q^{28} + 22 q^{30} - 10 q^{31} + 11 q^{32} + q^{34} + 27 q^{36} + 23 q^{38} + 2 q^{39} + 6 q^{40} - 8 q^{41} + 8 q^{42} + 18 q^{44} - 20 q^{46} + 6 q^{47} + 39 q^{48} + 18 q^{49} - 23 q^{50} - 8 q^{52} - 29 q^{54} - 4 q^{55} + 10 q^{56} + 10 q^{57} - 14 q^{58} + 6 q^{60} - 52 q^{62} + 2 q^{63} + 26 q^{64} - 14 q^{65} - 72 q^{66} - 39 q^{68} + 72 q^{71} - 77 q^{72} - 44 q^{73} - 38 q^{74} + 5 q^{76} + 10 q^{78} - 30 q^{79} - 96 q^{80} + 10 q^{81} + 38 q^{82} - 28 q^{84} + 7 q^{86} + 42 q^{87} + 31 q^{88} + 64 q^{89} + 64 q^{90} - 30 q^{92} - 12 q^{94} + 44 q^{95} - 26 q^{96} + 66 q^{98}+O(q^{100}) $ 16 * q + q^2 - q^4 - 7 * q^6 + 6 * q^7 - 2 * q^8 + 2 * q^9 - 16 * q^10 - 16 * q^12 + 16 * q^14 - 10 * q^15 - 9 * q^16 - 28 * q^17 + 4 * q^18 - 8 * q^20 + q^22 - 10 * q^23 + 7 * q^24 + 2 * q^25 + 28 * q^26 + 4 * q^28 + 22 * q^30 - 10 * q^31 + 11 * q^32 + q^34 + 27 * q^36 + 23 * q^38 + 2 * q^39 + 6 * q^40 - 8 * q^41 + 8 * q^42 + 18 * q^44 - 20 * q^46 + 6 * q^47 + 39 * q^48 + 18 * q^49 - 23 * q^50 - 8 * q^52 - 29 * q^54 - 4 * q^55 + 10 * q^56 + 10 * q^57 - 14 * q^58 + 6 * q^60 - 52 * q^62 + 2 * q^63 + 26 * q^64 - 14 * q^65 - 72 * q^66 - 39 * q^68 + 72 * q^71 - 77 * q^72 - 44 * q^73 - 38 * q^74 + 5 * q^76 + 10 * q^78 - 30 * q^79 - 96 * q^80 + 10 * q^81 + 38 * q^82 - 28 * q^84 + 7 * q^86 + 42 * q^87 + 31 * q^88 + 64 * q^89 + 64 * q^90 - 30 * q^92 - 12 * q^94 + 44 * q^95 - 26 * q^96 + 66 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/72\mathbb{Z}\right)^\times$.

$n$	$37$	$55$	$65$
$\chi(n)$	$-1$	$1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	0.820200	−	1.15207i	0.579969	−	0.814639i
$2$	0.820200	−	1.15207i	0.579969	−	0.814639i
$3$	−1.69028	−	0.378078i	−0.975885	−	0.218283i
$3$	−1.69028	−	0.378078i	−0.975885	−	0.218283i
$4$	−0.654545	−	1.88986i	−0.327272	−	0.944930i
$5$	1.97542	−	1.14051i	0.883437	−	0.510052i	0.0116467	−	0.999932i	$-0.496293\pi$
$5$	1.97542	−	1.14051i	0.883437	−	0.510052i	0.871790	+	0.489880i	$0.162959\pi$
$6$	−1.82194	+	1.63723i	−0.743805	+	0.668396i
$7$	−0.907824	+	1.57240i	−0.343125	+	0.594311i	−0.985011	−	0.172490i	$-0.944819\pi$
$7$	−0.907824	+	1.57240i	−0.343125	+	0.594311i	0.641886	+	0.766800i	$0.278152\pi$
$8$	−2.71411	−	0.795980i	−0.959584	−	0.281421i
$9$	2.71411	+	1.27812i	0.904705	+	0.426039i
$10$	0.306290	−	3.21128i	0.0968573	−	1.01550i
$11$	4.24153	+	2.44885i	1.27887	+	0.738355i	0.976640	−	0.214880i	$-0.0689362\pi$
$11$	4.24153	+	2.44885i	1.27887	+	0.738355i	0.302228	+	0.953236i	$0.402270\pi$
$12$	0.391851	+	3.44187i	0.113118	+	0.993582i
$13$	−4.00895	+	2.31457i	−1.11188	+	0.641946i	−0.939317	−	0.343052i	$-0.888539\pi$
$13$	−4.00895	+	2.31457i	−1.11188	+	0.641946i	−0.172567	+	0.984998i	$0.555206\pi$
$14$	1.06692	+	2.33556i	0.285146	+	0.624205i
$15$	−3.77023	+	1.18092i	−0.973469	+	0.304913i
$16$	−3.14314	+	2.47400i	−0.785786	+	0.618499i
$17$	1.92788			0.467579			0.233790	−	0.972287i	$-0.424887\pi$
$17$	1.92788			0.467579			0.233790	+	0.972287i	$0.424887\pi$
$18$	3.69860	−	2.07855i	0.871768	−	0.489918i
$19$		−	2.12907i		−	0.488442i	−0.969720	−	0.244221i	$-0.921468\pi$
$19$		−	2.12907i		−	0.488442i	0.969720	−	0.244221i	$-0.0785322\pi$
$20$	−3.44841	−	2.98676i	−0.771088	−	0.667860i
$21$	2.12897	−	2.31457i	0.464579	−	0.505080i
$22$	6.30015	−	2.87801i	1.34320	−	0.613593i
$23$	−1.15765	−	2.00511i	−0.241387	−	0.418094i	0.719723	−	0.694261i	$-0.244269\pi$
$23$	−1.15765	−	2.00511i	−0.241387	−	0.418094i	−0.961109	+	0.276168i	$0.910936\pi$
$24$	4.28668	+	2.37158i	0.875015	+	0.484096i
$25$	0.101535	−	0.175863i	0.0203069	−	0.0351726i
$26$	−0.621589	+	6.51702i	−0.121904	+	1.27809i
$27$	−4.10439	−	3.18653i	−0.789891	−	0.613247i
$28$	3.56582	+	0.686457i	0.673877	+	0.129728i
$29$	−3.16440	−	1.82697i	−0.587615	−	0.339260i	0.176539	−	0.984294i	$-0.443510\pi$
$29$	−3.16440	−	1.82697i	−0.587615	−	0.339260i	−0.764154	+	0.645034i	$0.776843\pi$
$30$	−1.73183	+	5.31217i	−0.316188	+	0.969866i
$31$	−2.65800	−	4.60379i	−0.477391	−	0.826865i	0.522273	−	0.852778i	$-0.325084\pi$
$31$	−2.65800	−	4.60379i	−0.477391	−	0.826865i	−0.999664	+	0.0259130i	$0.991751\pi$
$32$	0.272218	+	5.65030i	0.0481218	+	0.998841i
$33$	−6.24353	−	5.74287i	−1.08686	−	0.999706i
$34$	1.58125	−	2.22106i	0.271181	−	0.380908i
$35$			4.14154i			0.700048i
$36$	0.638954	−	5.96588i	0.106492	−	0.994314i
$37$			7.98438i			1.31262i	0.754489	+	0.656312i	$0.227885\pi$
$37$			7.98438i			1.31262i	−0.754489	+	0.656312i	$0.772115\pi$
$38$	−2.45284	−	1.74626i	−0.397904	−	0.283281i
$39$	7.65135	−	2.39658i	1.22520	−	0.383760i
$40$	−6.26935	+	1.52308i	−0.991272	+	0.240820i
$41$	−2.36240	−	4.09180i	−0.368946	−	0.639033i	0.620455	−	0.784242i	$-0.286948\pi$
$41$	−2.36240	−	4.09180i	−0.368946	−	0.639033i	−0.989401	+	0.145209i	$0.953614\pi$
$42$	−0.920373	−	4.35114i	−0.142017	−	0.671395i
$43$	2.20800	+	1.27479i	0.336717	+	0.194404i	0.658819	−	0.752301i	$-0.271056\pi$
$43$	2.20800	+	1.27479i	0.336717	+	0.194404i	−0.322102	+	0.946705i	$0.604390\pi$
$44$	1.85171	−	9.61877i	0.279156	−	1.45008i
$45$	6.81924	−	0.570655i	1.01655	−	0.0850683i
$46$	−3.25953	−	0.310892i	−0.480592	−	0.0458386i
$47$	−2.02005	+	3.49884i	−0.294655	+	0.510358i	−0.974905	−	0.222623i	$-0.928538\pi$
$47$	−2.02005	+	3.49884i	−0.294655	+	0.510358i	0.680249	+	0.732981i	$0.261871\pi$
$48$	6.24816	−	2.99340i	0.901845	−	0.432060i
$49$	1.85171	+	3.20726i	0.264530	+	0.458179i
$50$	−0.119328	−	0.261218i	−0.0168756	−	0.0369418i
$51$	−3.25866	−	0.728888i	−0.456304	−	0.102065i
$52$	6.99825	+	6.06137i	0.970483	+	0.840561i
$53$		−	8.95958i		−	1.23069i	−0.788257	−	0.615347i	$-0.789016\pi$
$53$		−	8.95958i		−	1.23069i	0.788257	−	0.615347i	$-0.210984\pi$
$54$	−7.03753	+	2.11497i	−0.957687	+	0.287811i
$55$	11.1718			1.50640
$56$	3.71554	−	3.54506i	0.496509	−	0.473728i
$57$	−0.804954	+	3.59873i	−0.106619	+	0.476663i
$58$	−4.70024	+	2.14714i	−0.617172	+	0.281934i
$59$	−3.05255	+	1.76239i	−0.397408	+	0.229444i	−0.685365	−	0.728200i	$-0.740357\pi$
$59$	−3.05255	+	1.76239i	−0.397408	+	0.229444i	0.287957	+	0.957643i	$0.407024\pi$
$60$	4.69956	+	6.35224i	0.606711	+	0.820070i
$61$	−1.71675	−	0.991165i	−0.219807	−	0.126906i	0.386054	−	0.922476i	$-0.373838\pi$
$61$	−1.71675	−	0.991165i	−0.219807	−	0.126906i	−0.605861	+	0.795571i	$0.707171\pi$
$62$	−7.48399	−	0.713818i	−0.950468	−	0.0906550i
$63$	−4.47365	+	3.10736i	−0.563627	+	0.391491i
$64$	6.73283	+	4.32076i	0.841604	+	0.540095i
$65$	−5.27959	+	9.14451i	−0.654852	+	1.13424i
$66$	−11.7371	+	2.48270i	−1.44474	+	0.305599i
$67$	7.72723	−	4.46132i	0.944031	−	0.545036i	0.0528093	−	0.998605i	$-0.483182\pi$
$67$	7.72723	−	4.46132i	0.944031	−	0.545036i	0.891222	+	0.453568i	$0.149849\pi$
$68$	−1.26188	−	3.64342i	−0.153026	−	0.441830i
$69$	1.19867	+	3.82688i	0.144303	+	0.460702i
$70$	4.77135	+	3.39689i	0.570286	+	0.406006i
$71$	13.3561			1.58508			0.792539	−	0.609821i	$-0.208759\pi$
$71$	13.3561			1.58508			0.792539	+	0.609821i	$0.208759\pi$
$72$	−6.34906	−	5.62934i	−0.748244	−	0.663424i
$73$	−11.5592			−1.35290			−0.676450	−	0.736489i	$-0.736482\pi$
$73$	−11.5592			−1.35290			−0.676450	+	0.736489i	$0.736482\pi$
$74$	9.19859	+	6.54879i	1.06931	+	0.761281i
$75$	−0.238112	+	0.258870i	−0.0274948	+	0.0298918i
$76$	−4.02364	+	1.39357i	−0.461543	+	0.159854i
$77$	−7.70112	+	4.44625i	−0.877625	+	0.506697i
$78$	3.51460	−	10.7806i	0.397950	−	1.22066i
$79$	−4.97330	+	8.61401i	−0.559540	+	0.969151i	0.437995	+	0.898977i	$0.355689\pi$
$79$	−4.97330	+	8.61401i	−0.559540	+	0.969151i	−0.997535	+	0.0701739i	$0.977645\pi$
$80$	−3.38742	+	8.47198i	−0.378725	+	0.947196i
$81$	5.73283	+	6.93791i	0.636981	+	0.770879i
$82$	−6.65170	−	0.634435i	−0.734558	−	0.0700616i
$83$	−3.12153	−	1.80221i	−0.342632	−	0.197819i	0.318803	−	0.947821i	$-0.396719\pi$
$83$	−3.12153	−	1.80221i	−0.342632	−	0.197819i	−0.661435	+	0.750002i	$0.730052\pi$
$84$	−5.76772	−	2.50847i	−0.629310	−	0.273696i
$85$	3.80838	−	2.19877i	0.413077	−	0.238490i
$86$	3.27965	−	1.49820i	0.353654	−	0.161555i
$87$	4.65800	+	4.28448i	0.499390	+	0.459345i
$88$	−9.56276	−	10.0226i	−1.01939	−	1.06841i
$89$	2.49965			0.264962			0.132481	−	0.991186i	$-0.457706\pi$
$89$	2.49965			0.264962			0.132481	+	0.991186i	$0.457706\pi$
$90$	4.93570	−	8.32431i	0.520268	−	0.877459i
$91$		−	8.40489i		−	0.881072i
$92$	−3.03164	+	3.50023i	−0.316070	+	0.364924i
$93$	2.75218	+	8.78664i	0.285388	+	0.911132i
$94$	2.37407	+	5.19699i	0.244866	+	0.536029i
$95$	−2.42823	−	4.20582i	−0.249131	−	0.431508i
$96$	1.67613	−	9.65353i	0.171069	−	0.985259i
$97$	6.99370	−	12.1134i	0.710103	−	1.22993i	−0.254715	−	0.967016i	$-0.581982\pi$
$97$	6.99370	−	12.1134i	0.710103	−	1.22993i	0.964818	−	0.262918i	$-0.0846849\pi$
$98$	5.21376	+	0.497285i	0.526670	+	0.0502334i
$99$	8.38208	+	12.0676i	0.842430	+	1.21284i
$100$	−0.398816	−	0.0767760i	−0.0398816	−	0.00767760i
$101$	1.13087	+	0.652911i	0.112526	+	0.0649671i	0.555207	−	0.831712i	$-0.312639\pi$
$101$	1.13087	+	0.652911i	0.112526	+	0.0649671i	−0.442681	+	0.896679i	$0.645972\pi$
$102$	−3.51248	+	3.15638i	−0.347788	+	0.312528i
$103$	−3.22312	−	5.58261i	−0.317584	−	0.550071i	0.662400	−	0.749151i	$-0.269538\pi$
$103$	−3.22312	−	5.58261i	−0.317584	−	0.550071i	−0.979983	+	0.199080i	$0.936205\pi$
$104$	12.7231	−	3.09096i	1.24760	−	0.303094i
$105$	1.56582	−	7.00037i	0.152809	−	0.683166i
$106$	−10.3221	−	7.34865i	−1.00257	−	0.713764i
$107$		−	3.10427i		−	0.300101i	−0.988678	−	0.150051i	$-0.952056\pi$
$107$		−	3.10427i		−	0.300101i	0.988678	−	0.150051i	$-0.0479437\pi$
$108$	−3.33558	+	9.84245i	−0.320966	+	0.947091i
$109$		−	18.0837i		−	1.73210i	−0.499955	−	0.866051i	$-0.666650\pi$
$109$		−	18.0837i		−	1.73210i	0.499955	−	0.866051i	$-0.333350\pi$
$110$	9.16307	−	12.8707i	0.873665	−	1.22717i
$111$	3.01872	−	13.4959i	0.286524	−	1.28097i
$112$	−1.03668	−	7.18822i	−0.0979574	−	0.679223i
$113$	−1.41718	−	2.45463i	−0.133317	−	0.230913i	0.791636	−	0.610993i	$-0.209230\pi$
$113$	−1.41718	−	2.45463i	−0.133317	−	0.230913i	−0.924953	+	0.380080i	$0.875896\pi$
$114$	3.48578	+	3.87904i	0.326473	+	0.363306i
$115$	−4.57370	−	2.64063i	−0.426500	−	0.246240i
$116$	−1.38147	+	7.17611i	−0.128267	+	0.666285i
$117$	−13.8390	+	1.15810i	−1.27942	+	0.107066i
$118$	−0.473298	+	4.96227i	−0.0435706	+	0.456814i
$119$	−1.75018	+	3.03139i	−0.160438	+	0.277887i
$120$	11.1728	−	0.204136i	1.01993	−	0.0186349i
$121$	6.49370	+	11.2474i	0.590337	+	1.02249i
$122$	−2.54997	+	1.16487i	−0.230863	+	0.105462i
$123$	2.44611	+	7.80948i	0.220558	+	0.704157i
$124$	−6.96074	+	8.03663i	−0.625093	+	0.721711i
$125$			10.9419i			0.978674i
$126$	−0.0893778	+	7.70263i	−0.00796241	+	0.686205i
$127$	−7.44962			−0.661047			−0.330523	−	0.943798i	$-0.607225\pi$
$127$	−7.44962			−0.661047			−0.330523	+	0.943798i	$0.607225\pi$
$128$	10.5001	−	4.21283i	0.928086	−	0.372365i
$129$	−3.25018	−	2.98955i	−0.286162	−	0.263215i
$130$	6.20483	+	13.5828i	0.544200	+	1.19129i
$131$	3.12153	−	1.80221i	0.272729	−	0.157460i	−0.357398	−	0.933952i	$-0.616336\pi$
$131$	3.12153	−	1.80221i	0.272729	−	0.157460i	0.630127	+	0.776492i	$0.283003\pi$
$132$	−6.76656	+	15.5584i	−0.588953	+	1.35418i
$133$	3.34774	+	1.93282i	0.290286	+	0.167597i
$134$	1.19811	−	12.5615i	0.103501	−	1.08515i
$135$	−11.7422	−	1.61363i	−1.01061	−	0.138879i
$136$	−5.23248	−	1.53455i	−0.448682	−	0.131587i
$137$	5.88147	−	10.1870i	0.502488	−	0.870335i	−0.497508	−	0.867460i	$-0.665751\pi$
$137$	5.88147	−	10.1870i	0.502488	−	0.870335i	0.999996	−	0.00287543i	$-0.000915278\pi$
$138$	5.39199	+	1.75785i	0.458997	+	0.149638i
$139$	−11.0400	+	6.37395i	−0.936400	+	0.540631i	−0.888830	−	0.458237i	$-0.848481\pi$
$139$	−11.0400	+	6.37395i	−0.936400	+	0.540631i	−0.0475703	+	0.998868i	$0.515148\pi$
$140$	7.82693	−	2.71082i	0.661496	−	0.229106i
$141$	4.73730	−	5.15029i	0.398952	−	0.433732i
$142$	10.9547	−	15.3872i	0.919296	−	1.29127i
$143$	−22.6721			−1.89594
$144$	−11.6929	+	2.69740i	−0.974409	+	0.224783i
$145$	−8.33472			−0.692161
$146$	−9.48083	+	13.3170i	−0.784639	+	1.10212i
$147$	−1.91732	−	6.12126i	−0.158138	−	0.504873i
$148$	15.0894	−	5.22613i	1.24034	−	0.429586i
$149$	6.59790	−	3.80930i	0.540521	−	0.312070i	−0.204769	−	0.978810i	$-0.565644\pi$
$149$	6.59790	−	3.80930i	0.540521	−	0.312070i	0.745290	+	0.666740i	$0.232311\pi$
$150$	0.102938	+	0.486648i	0.00840486	+	0.0397346i
$151$	2.26988	−	3.93155i	0.184720	−	0.319945i	−0.758762	−	0.651368i	$-0.774195\pi$
$151$	2.26988	−	3.93155i	0.184720	−	0.319945i	0.943482	+	0.331423i	$0.107529\pi$
$152$	−1.69470	+	5.77854i	−0.137458	+	0.468701i
$153$	5.23248	+	2.46405i	0.423021	+	0.199207i
$154$	−1.19406	+	12.5191i	−0.0962201	+	1.00882i
$155$	−10.5014	−	6.06296i	−0.843489	−	0.486989i
$156$	−9.53736	−	12.8913i	−0.763600	−	1.03213i
$157$	11.4105	−	6.58787i	0.910659	−	0.525769i	0.0300161	−	0.999549i	$-0.490444\pi$
$157$	11.4105	−	6.58787i	0.910659	−	0.525769i	0.880643	+	0.473780i	$0.157111\pi$
$158$	5.84486	+	12.7948i	0.464992	+	1.01790i
$159$	−3.38742	+	15.1442i	−0.268640	+	1.20102i
$160$	6.98198	+	10.8513i	0.551974	+	0.857869i
$161$	4.20377			0.331303
$162$	12.6951	−	0.914167i	0.997417	−	0.0718237i
$163$			20.5911i			1.61282i	0.591358	+	0.806409i	$0.298592\pi$
$163$			20.5911i			1.61282i	−0.591358	+	0.806409i	$0.701408\pi$
$164$	−6.18664	+	7.14288i	−0.483095	+	0.557765i
$165$	−18.8834	−	4.22379i	−1.47007	−	0.328822i
$166$	−4.63656	+	2.11805i	−0.359867	+	0.164393i
$167$	2.53912	+	4.39789i	0.196483	+	0.340319i	0.947386	−	0.320094i	$-0.103715\pi$
$167$	2.53912	+	4.39789i	0.196483	+	0.340319i	−0.750903	+	0.660413i	$0.770381\pi$
$168$	−7.62062	+	4.58739i	−0.587943	+	0.353925i
$169$	4.21446	−	7.29967i	0.324190	−	0.561513i
$170$	0.590490	−	6.19096i	0.0452885	−	0.474825i
$171$	2.72120	−	5.77854i	0.208095	−	0.441896i
$172$	0.963939	−	5.00722i	0.0734997	−	0.381797i
$173$	11.0398	+	6.37385i	0.839343	+	0.484595i	0.857041	−	0.515248i	$-0.172300\pi$
$173$	11.0398	+	6.37385i	0.839343	+	0.484595i	−0.0176977	+	0.999843i	$0.505634\pi$
$174$	8.75653	−	1.85222i	0.663831	−	0.140417i
$175$	0.184351	+	0.319306i	0.0139356	+	0.0241372i
$176$	−19.3902	+	2.79644i	−1.46159	+	0.210790i
$177$	5.82599	−	1.82484i	0.437908	−	0.137163i
$178$	2.05021	−	2.87978i	0.153670	−	0.215849i
$179$		−	8.82019i		−	0.659252i	−0.944112	−	0.329626i	$-0.893077\pi$
$179$		−	8.82019i		−	0.659252i	0.944112	−	0.329626i	$-0.106923\pi$
$180$	−5.54195	−	12.5139i	−0.413073	−	0.932730i
$181$			15.4369i			1.14741i	0.819061	+	0.573707i	$0.194495\pi$
$181$			15.4369i			1.14741i	−0.819061	+	0.573707i	$0.805505\pi$
$182$	−9.68305	−	6.89369i	−0.717755	−	0.510994i
$183$	2.52705	+	2.32441i	0.186805	+	0.171826i
$184$	1.54597	+	6.36356i	0.113970	+	0.469128i
$185$	9.10628	+	15.7725i	0.669507	+	1.15962i
$186$	12.3802	+	4.03609i	0.907759	+	0.295940i
$187$	8.17715	+	4.72108i	0.597972	+	0.345239i
$188$	7.93453	+	1.52748i	0.578685	+	0.111403i
$189$	8.73656	−	3.56093i	0.635491	−	0.259020i
$190$	−6.83704	−	0.652112i	−0.496011	−	0.0473092i
$191$	4.81698	−	8.34326i	0.348545	−	0.603697i	−0.637446	−	0.770495i	$-0.720009\pi$
$191$	4.81698	−	8.34326i	0.348545	−	0.603697i	0.985991	+	0.166797i	$0.0533426\pi$
$192$	−9.74681	−	9.84884i	−0.703415	−	0.710779i
$193$	3.49335	+	6.05066i	0.251457	+	0.435536i	0.963927	−	0.266166i	$-0.0857570\pi$
$193$	3.49335	+	6.05066i	0.251457	+	0.435536i	−0.712470	+	0.701702i	$0.752424\pi$
$194$	−8.21934	−	17.9927i	−0.590114	−	1.29180i
$195$	12.3813	−	13.4607i	0.886646	−	0.963942i
$196$	4.84924	−	5.59876i	0.346374	−	0.399912i
$197$			4.31842i			0.307675i	0.988096	+	0.153837i	$0.0491632\pi$
$197$			4.31842i			0.307675i	−0.988096	+	0.153837i	$0.950837\pi$
$198$	20.7778	+	0.241096i	1.47661	+	0.0171339i
$199$	5.90649			0.418700			0.209350	−	0.977841i	$-0.432865\pi$
$199$	5.90649			0.418700			0.209350	+	0.977841i	$0.432865\pi$
$200$	−0.415560	+	0.396493i	−0.0293845	+	0.0280363i
$201$	−14.7479	+	4.61939i	−1.04024	+	0.325827i
$202$	1.67974	−	0.767333i	0.118186	−	0.0539894i
$203$	5.74544	−	3.31713i	0.403251	−	0.232817i
$204$	0.755442	+	6.63550i	0.0528915	+	0.464578i
$205$	−9.33350	−	5.38870i	−0.651880	−	0.376363i
$206$	−9.07518	−	0.865585i	−0.632298	−	0.0603082i
$207$	−0.579230	−	6.92170i	−0.0402593	−	0.481092i
$208$	6.87447	−	17.1932i	0.476659	−	1.19213i
$209$	5.21376	−	9.03050i	0.360644	−	0.624653i
$210$	−6.78065	−	7.54565i	−0.467909	−	0.520699i
$211$	−15.8781	+	9.16723i	−1.09309	+	0.631098i	−0.934399	−	0.356229i	$-0.884062\pi$
$211$	−15.8781	+	9.16723i	−1.09309	+	0.631098i	−0.158696	+	0.987328i	$0.550729\pi$
$212$	−16.9324	+	5.86445i	−1.16292	+	0.402772i
$213$	−22.5756	−	5.04965i	−1.54685	−	0.345996i
$214$	−3.57635	−	2.54612i	−0.244474	−	0.174049i
$215$	5.81565			0.396624
$216$	8.60338	+	11.9156i	0.585386	+	0.810755i
$217$	9.65199			0.655220
$218$	−20.8337	−	14.8322i	−1.41104	−	1.00457i
$219$	19.5383	+	4.37027i	1.32027	+	0.295315i
$220$	−7.31241	−	21.1131i	−0.493003	−	1.42344i
$221$	−7.72877	+	4.46221i	−0.519893	+	0.300161i
$222$	−13.0723	−	14.5471i	−0.877353	−	0.976337i
$223$	−2.63263	+	4.55986i	−0.176294	+	0.305350i	−0.940608	−	0.339494i	$-0.889744\pi$
$223$	−2.63263	+	4.55986i	−0.176294	+	0.305350i	0.764314	+	0.644844i	$0.223078\pi$
$224$	−9.13165	−	4.70145i	−0.610134	−	0.314129i
$225$	0.500350	−	0.347539i	0.0333567	−	0.0231693i
$226$	−3.99029	−	0.380591i	−0.265430	−	0.0253166i
$227$	1.53638	+	0.887027i	0.101973	+	0.0588741i	0.550119	−	0.835086i	$-0.314582\pi$
$227$	1.53638	+	0.887027i	0.101973	+	0.0588741i	−0.448146	+	0.893960i	$0.647916\pi$
$228$	7.32797	−	0.834279i	0.485307	−	0.0552514i
$229$	−3.30687	+	1.90922i	−0.218524	+	0.126165i	−0.605267	−	0.796023i	$-0.706934\pi$
$229$	−3.30687	+	1.90922i	−0.218524	+	0.126165i	0.386742	+	0.922188i	$0.373600\pi$
$230$	−6.79354	+	3.10339i	−0.447953	+	0.204632i
$231$	14.6981	−	4.60379i	0.967064	−	0.302907i
$232$	7.13432	+	7.47740i	0.468391	+	0.490915i
$233$	−20.3207			−1.33125			−0.665627	−	0.746284i	$-0.731836\pi$
$233$	−20.3207			−1.33125			−0.665627	+	0.746284i	$0.731836\pi$
$234$	−10.0166	+	16.8935i	−0.654804	+	1.10436i
$235$			9.21558i			0.601158i
$236$	5.32870	+	4.61533i	0.346869	+	0.300432i
$237$	11.6630	−	12.6798i	0.757596	−	0.823642i
$238$	2.05689	+	4.50268i	0.133328	+	0.291865i
$239$	8.69811	+	15.0656i	0.562634	+	0.974510i	0.997266	+	0.0739020i	$0.0235452\pi$
$239$	8.69811	+	15.0656i	0.562634	+	0.974510i	−0.434632	+	0.900608i	$0.643121\pi$
$240$	8.92877	−	13.0393i	0.576350	−	0.841686i
$241$	−6.85611	+	11.8751i	−0.441641	+	0.764944i	−0.997811	−	0.0661240i	$-0.978937\pi$
$241$	−6.85611	+	11.8751i	−0.441641	+	0.764944i	0.556171	+	0.831068i	$0.312270\pi$
$242$	18.2840	+	1.74391i	1.17534	+	0.112103i
$243$	−7.06704	−	13.8945i	−0.453351	−	0.891332i
$244$	−0.749475	+	3.89317i	−0.0479802	+	0.249235i
$245$	7.31583	+	4.22379i	0.467391	+	0.269848i
$246$	11.0034	+	3.58724i	0.701551	+	0.228714i
$247$	4.92788	+	8.53534i	0.313553	+	0.543090i
$248$	3.54959	+	14.6109i	0.225399	+	0.927795i
$249$	4.59489	+	4.22643i	0.291189	+	0.267839i
$250$	12.6059	+	8.97455i	0.797266	+	0.567601i
$251$		−	4.50751i		−	0.284512i	−0.989830	−	0.142256i	$-0.954564\pi$
$251$		−	4.50751i		−	0.284512i	0.989830	−	0.142256i	$-0.0454356\pi$
$252$	8.80068	+	6.42066i	0.554391	+	0.404464i
$253$		−	11.3396i		−	0.712916i
$254$	−6.11018	+	8.58250i	−0.383387	+	0.538514i
$255$	−7.26854	+	2.27668i	−0.455174	+	0.142571i
$256$	3.75869	−	15.5522i	0.234918	−	0.972015i
$257$	−4.11258	−	7.12320i	−0.256536	−	0.444333i	0.708776	−	0.705434i	$-0.249248\pi$
$257$	−4.11258	−	7.12320i	−0.256536	−	0.444333i	−0.965311	+	0.261101i	$0.915914\pi$
$258$	−6.10997	+	1.29241i	−0.380390	+	0.0804619i
$259$	−12.5546	−	7.24842i	−0.780106	−	0.450395i
$260$	20.7376	+	3.99219i	1.28609	+	0.247585i
$261$	−6.25347	−	9.00308i	−0.387080	−	0.557277i
$262$	0.483993	−	5.07440i	0.0299012	−	0.313498i
$263$	2.51376	−	4.35395i	0.155005	−	0.268476i	−0.778056	−	0.628195i	$-0.783794\pi$
$263$	2.51376	−	4.35395i	0.155005	−	0.268476i	0.933061	+	0.359719i	$0.117127\pi$
$264$	12.3744	+	20.5565i	0.761594	+	1.26517i
$265$	−10.2185	−	17.6990i	−0.627718	−	1.08724i
$266$	4.97257	−	2.27155i	0.304888	−	0.139277i
$267$	−4.22512	−	0.945062i	−0.258573	−	0.0578369i
$268$	−13.4891	−	11.6832i	−0.823977	−	0.713668i
$269$			23.1577i			1.41195i	0.708236	+	0.705976i	$0.249491\pi$
$269$			23.1577i			1.41195i	−0.708236	+	0.705976i	$0.750509\pi$
$270$	−11.4900	+	12.2044i	−0.699257	+	0.742734i
$271$	20.9367			1.27181			0.635906	−	0.771766i	$-0.280627\pi$
$271$	20.9367			1.27181			0.635906	+	0.771766i	$0.280627\pi$
$272$	−6.05960	+	4.76956i	−0.367417	+	0.289197i
$273$	−3.17770	+	14.2066i	−0.192323	+	0.859825i
$274$	−6.91220	−	15.1313i	−0.417581	−	0.914113i
$275$	0.861323	−	0.497285i	0.0519398	−	0.0299874i
$276$	6.44769	−	4.77018i	0.388105	−	0.287131i
$277$	19.2687	+	11.1248i	1.15775	+	0.668425i	0.950763	−	0.309920i	$-0.100302\pi$
$277$	19.2687	+	11.1248i	1.15775	+	0.668425i	0.206983	+	0.978345i	$0.433636\pi$
$278$	−1.71175	+	17.9468i	−0.102664	+	1.07638i
$279$	−1.32993	−	15.8924i	−0.0796208	−	0.951456i
$280$	3.29658	−	11.2406i	0.197008	−	0.671755i
$281$	−9.28029	+	16.0739i	−0.553616	+	0.958890i	0.444394	+	0.895831i	$0.353419\pi$
$281$	−9.28029	+	16.0739i	−0.553616	+	0.958890i	−0.998010	+	0.0630590i	$0.979914\pi$
$282$	−2.04798	−	9.68197i	−0.121955	−	0.576553i
$283$	1.75962	−	1.01592i	0.104599	−	0.0603901i	−0.446788	−	0.894640i	$-0.647432\pi$
$283$	1.75962	−	1.01592i	0.104599	−	0.0603901i	0.551387	+	0.834250i	$0.314099\pi$
$284$	−8.74217	−	25.2412i	−0.518752	−	1.49779i
$285$	2.51427	+	8.02708i	0.148932	+	0.475483i
$286$	−18.5957	+	26.1199i	−1.09958	+	1.54450i
$287$	8.57859			0.506378
$288$	−6.48292	+	15.6835i	−0.382009	+	0.924158i
$289$	−13.2833			−0.781370
$290$	−6.83613	+	9.60220i	−0.401432	+	0.563861i
$291$	−16.4012	+	17.8310i	−0.961453	+	1.04527i
$292$	7.56600	+	21.8452i	0.442766	+	1.27840i
$293$	29.5484	−	17.0598i	1.72623	−	0.996642i	0.822178	−	0.569231i	$-0.192759\pi$
$293$	29.5484	−	17.0598i	1.72623	−	0.996642i	0.904057	−	0.427411i	$-0.140574\pi$
$294$	−8.62473	−	2.81176i	−0.503004	−	0.163985i
$295$	−4.02005	+	6.96294i	−0.234057	+	0.405398i
$296$	6.35541	−	21.6705i	0.369401	−	1.25957i
$297$	−9.60558	−	23.5668i	−0.557372	−	1.36748i
$298$	1.02300	−	10.7256i	0.0592611	−	0.621320i
$299$	9.28192	+	5.35892i	0.536787	+	0.309914i
$300$	0.645084	+	0.280556i	0.0372439	+	0.0161979i
$301$	−4.00895	+	2.31457i	−0.231072	+	0.133410i
$302$	−2.66767	−	5.83972i	−0.153507	−	0.336038i
$303$	−1.66465	−	1.53116i	−0.0956315	−	0.0879630i
$304$	5.26731	+	6.69197i	0.302101	+	0.383811i
$305$	−4.52174			−0.258914
$306$	7.13045	−	4.00718i	0.407621	−	0.229075i
$307$		−	4.77588i		−	0.272574i	−0.990669	−	0.136287i	$-0.956483\pi$
$307$		−	4.77588i		−	0.272574i	0.990669	−	0.136287i	$-0.0435169\pi$
$308$	13.4435	+	11.6438i	0.766015	+	0.663466i
$309$	3.33733	+	10.6548i	0.189854	+	0.606130i
$310$	−15.5982	+	7.12549i	−0.885917	+	0.404701i
$311$	−11.1771	−	19.3592i	−0.633793	−	1.09776i	−0.986769	−	0.162130i	$-0.948164\pi$
$311$	−11.1771	−	19.3592i	−0.633793	−	1.09776i	0.352976	−	0.935632i	$-0.385170\pi$
$312$	−22.6743	+	0.414275i	−1.28368	+	0.0234537i
$313$	1.22411	−	2.12022i	0.0691907	−	0.119842i	−0.829355	−	0.558723i	$-0.811292\pi$
$313$	1.22411	−	2.12022i	0.0691907	−	0.119842i	0.898545	+	0.438881i	$0.144625\pi$
$314$	1.76920	−	18.5491i	0.0998420	−	1.04679i
$315$	−5.29337	+	11.2406i	−0.298248	+	0.633336i
$316$	19.5345	+	3.76059i	1.09890	+	0.211550i
$317$	−14.2886	−	8.24953i	−0.802528	−	0.463340i	0.0418263	−	0.999125i	$-0.486682\pi$
$317$	−14.2886	−	8.24953i	−0.802528	−	0.463340i	−0.844354	+	0.535785i	$0.820016\pi$
$318$	14.6689	+	16.3239i	0.822591	+	0.915396i
$319$	−8.94793	−	15.4983i	−0.500988	−	0.867737i
$320$	18.2281	+	0.856461i	1.01898	+	0.0478776i
$321$	−1.17366	+	5.24710i	−0.0655071	+	0.292864i
$322$	3.44793	−	4.84305i	0.192146	−	0.269893i
$323$		−	4.10459i		−	0.228385i
$324$	9.35929	−	15.3754i	0.519961	−	0.854190i
$325$			0.940035i			0.0521438i
$326$	23.7224	+	16.8888i	1.31386	+	0.935385i
$327$	−6.83704	+	30.5665i	−0.378089	+	1.69033i
$328$	3.15484	+	12.9861i	0.174197	+	0.717035i
$329$	−3.66771	−	6.35266i	−0.202207	−	0.350233i
$330$	−20.3543	+	18.2907i	−1.12047	+	1.00687i
$331$	−0.329200	−	0.190064i	−0.0180945	−	0.0104469i	0.490925	−	0.871202i	$-0.336659\pi$
$331$	−0.329200	−	0.190064i	−0.0180945	−	0.0104469i	−0.509020	+	0.860755i	$0.669992\pi$
$332$	−1.36275	+	7.07888i	−0.0747909	+	0.388504i
$333$	−10.2050	+	21.6705i	−0.559229	+	1.18754i
$334$	7.14928	+	0.681893i	0.391191	+	0.0373115i
$335$	10.1764	−	17.6260i	0.555994	−	0.963010i
$336$	−0.965420	+	12.5421i	−0.0526680	+	0.684227i
$337$	−2.51872	−	4.36255i	−0.137203	−	0.237643i	0.789234	−	0.614093i	$-0.210478\pi$
$337$	−2.51872	−	4.36255i	−0.137203	−	0.237643i	−0.926437	+	0.376450i	$0.877145\pi$
$338$	−4.95305	−	10.8426i	−0.269410	−	0.589757i
$339$	1.46740	+	4.68483i	0.0796982	+	0.254445i
$340$	−6.64812	−	5.75811i	−0.360545	−	0.312277i
$341$		−	26.0361i		−	1.40994i
$342$	−4.42537	−	7.87458i	−0.239297	−	0.425808i
$343$	−19.4337			−1.04932
$344$	−4.97806	−	5.21745i	−0.268399	−	0.281306i
$345$	6.73248	+	6.19262i	0.362465	+	0.333399i
$346$	16.3980	−	7.49086i	0.881563	−	0.402711i
$347$	−8.40337	+	4.85169i	−0.451116	+	0.260452i	−0.708302	−	0.705910i	$-0.750538\pi$
$347$	−8.40337	+	4.85169i	−0.451116	+	0.260452i	0.257185	+	0.966362i	$0.417205\pi$
$348$	5.04821	−	11.6074i	0.270612	−	0.622219i
$349$	−26.1239	−	15.0827i	−1.39838	−	0.807356i	−0.404158	−	0.914689i	$-0.632436\pi$
$349$	−26.1239	−	15.0827i	−1.39838	−	0.807356i	−0.994223	+	0.107333i	$0.965769\pi$
$350$	0.519068	+	0.0495084i	0.0277454	+	0.00264633i
$351$	23.8298	+	3.27473i	1.27194	+	0.174792i
$352$	−12.6821	+	24.6325i	−0.675958	+	1.31292i
$353$	13.2376	−	22.9282i	0.704565	−	1.22034i	−0.262283	−	0.964991i	$-0.584475\pi$
$353$	13.2376	−	22.9282i	0.704565	−	1.22034i	0.966848	−	0.255352i	$-0.0821913\pi$
$354$	2.67613	−	8.20870i	0.142235	−	0.436288i
$355$	26.3840	−	15.2328i	1.40032	−	0.808473i
$356$	−1.63613	−	4.72399i	−0.0867148	−	0.250371i
$357$	4.10439	−	4.46221i	0.217228	−	0.236165i
$358$	−10.1615	−	7.23431i	−0.537052	−	0.382345i
$359$	−23.4619			−1.23827			−0.619135	−	0.785285i	$-0.712517\pi$
$359$	−23.4619			−1.23827			−0.619135	+	0.785285i	$0.712517\pi$
$360$	−18.9624	−	3.87915i	−0.999407	−	0.204449i
$361$	14.4671			0.761424
$362$	17.7844	+	12.6613i	0.934727	+	0.665464i
$363$	−6.72379	−	21.4665i	−0.352908	−	1.12670i
$364$	−15.8841	+	5.50138i	−0.832551	+	0.288350i
$365$	−22.8343	+	13.1834i	−1.19520	+	0.690050i
$366$	4.75058	−	1.00487i	0.248317	−	0.0525251i
$367$	9.62599	−	16.6727i	0.502472	−	0.870308i	−0.497524	−	0.867450i	$-0.665757\pi$
$367$	9.62599	−	16.6727i	0.502472	−	0.870308i	0.999996	−	0.00285720i	$-0.000909476\pi$
$368$	8.59928	+	3.43832i	0.448269	+	0.179235i
$369$	−1.18203	−	14.1251i	−0.0615340	−	0.735321i
$370$	25.6401	+	2.44553i	1.33296	+	0.127137i
$371$	14.0880	+	8.13373i	0.731414	+	0.422282i
$372$	14.8041	−	10.9525i	0.767557	−	0.567860i
$373$	−9.09206	+	5.24930i	−0.470769	+	0.271799i	−0.716562	−	0.697524i	$-0.754285\pi$
$373$	−9.09206	+	5.24930i	−0.470769	+	0.271799i	0.245793	+	0.969322i	$0.420952\pi$
$374$	12.1459	−	5.54844i	0.628051	−	0.286903i
$375$	4.13690	−	18.4949i	0.213628	−	0.955074i
$376$	8.26766	−	7.88832i	0.426372	−	0.406809i
$377$	16.9146			0.871145
$378$	3.06327	−	12.9858i	0.157557	−	0.667919i
$379$		−	35.5203i		−	1.82455i	−0.409574	−	0.912277i	$-0.634323\pi$
$379$		−	35.5203i		−	1.82455i	0.409574	−	0.912277i	$-0.365677\pi$
$380$	−6.35902	+	7.34191i	−0.326211	+	0.376632i
$381$	12.5920	+	2.81654i	0.645106	+	0.144296i
$382$	−5.66116	−	12.3927i	−0.289650	−	0.634064i
$383$	18.0395	+	31.2453i	0.921774	+	1.59656i	0.796669	+	0.604416i	$0.206593\pi$
$383$	18.0395	+	31.2453i	0.921774	+	1.59656i	0.125105	+	0.992144i	$0.460073\pi$
$384$	−19.3409	+	3.15102i	−0.986987	+	0.160800i
$385$	−10.1420	+	17.5664i	−0.516884	+	0.895269i
$386$	9.83605	+	0.938156i	0.500642	+	0.0477509i
$387$	4.36343	+	6.28201i	0.221806	+	0.319332i
$388$	−27.4704	−	5.28833i	−1.39460	−	0.268474i
$389$	−17.5243	−	10.1177i	−0.888519	−	0.512987i	−0.0150612	−	0.999887i	$-0.504794\pi$
$389$	−17.5243	−	10.1177i	−0.888519	−	0.512987i	−0.873458	+	0.486900i	$0.838128\pi$
$390$	−5.35257	−	25.3047i	−0.271038	−	1.28135i
$391$	−2.23181	−	3.86560i	−0.112867	−	0.195492i
$392$	−2.47284	−	10.1788i	−0.124897	−	0.514106i
$393$	−5.95764	+	1.86607i	−0.300523	+	0.0941309i
$394$	4.97513	+	3.54197i	0.250644	+	0.178442i
$395$			22.6884i			1.14158i
$396$	17.3197	−	23.7397i	0.870346	−	1.19297i
$397$		−	3.99499i		−	0.200503i	−0.994962	−	0.100251i	$-0.968035\pi$
$397$		−	3.99499i		−	0.200503i	0.994962	−	0.100251i	$-0.0319647\pi$
$398$	4.84450	−	6.80471i	0.242833	−	0.341089i
$399$	−4.92788	−	4.53272i	−0.246702	−	0.226920i
$400$	0.115947	+	0.803959i	0.00579733	+	0.0401979i
$401$	14.0124	+	24.2702i	0.699747	+	1.21200i	0.968554	+	0.248803i	$0.0800372\pi$
$401$	14.0124	+	24.2702i	0.699747	+	1.21200i	−0.268807	+	0.963194i	$0.586629\pi$
$402$	−6.77437	+	20.7795i	−0.337875	+	1.03639i
$403$	21.3116	+	12.3042i	1.06161	+	0.612918i
$404$	0.493702	−	2.56455i	0.0245626	−	0.127591i
$405$	19.2375	+	7.16696i	0.955921	+	0.356129i
$406$	0.890832	−	9.33988i	0.0442112	−	0.463531i
$407$	−19.5525	+	33.8660i	−0.969183	+	1.67867i
$408$	8.26420	+	4.57211i	0.409139	+	0.226353i
$409$	8.22481	+	14.2458i	0.406691	+	0.704409i	0.994517	−	0.104579i	$-0.0333494\pi$
$409$	8.22481	+	14.2458i	0.406691	+	0.704409i	−0.587826	+	0.808987i	$0.700016\pi$
$410$	−13.8635	+	6.33307i	−0.684670	+	0.312768i
$411$	−13.7928	+	14.9953i	−0.680350	+	0.739662i
$412$	−8.44068	+	9.74532i	−0.415842	+	0.480118i
$413$		−	6.39976i		−	0.314912i
$414$	−8.44939	−	5.00986i	−0.415265	−	0.246221i
$415$	−8.22179			−0.403592
$416$	−14.1693	−	22.0217i	−0.694708	−	1.07970i
$417$	21.0706	−	6.59979i	1.03183	−	0.323193i
$418$	−6.12747	−	13.4135i	−0.299704	−	0.656074i
$419$	−20.5573	+	11.8688i	−1.00429	+	0.579827i	−0.909515	−	0.415672i	$-0.863547\pi$
$419$	−20.5573	+	11.8688i	−1.00429	+	0.579827i	−0.0947752	+	0.995499i	$0.530213\pi$
$420$	−14.2546	+	1.62287i	−0.695555	+	0.0791878i
$421$	25.9420	+	14.9776i	1.26433	+	0.729963i	0.973910	−	0.226935i	$-0.0728704\pi$
$421$	25.9420	+	14.9776i	1.26433	+	0.729963i	0.290424	+	0.956898i	$0.406204\pi$
$422$	−2.46190	+	25.8117i	−0.119844	+	1.25649i
$423$	−9.95458	+	6.91437i	−0.484008	+	0.336188i
$424$	−7.13165	+	24.3173i	−0.346343	+	1.18095i
$425$	0.195746	−	0.339043i	0.00949509	−	0.0164460i
$426$	−24.3341	+	21.8670i	−1.17899	+	1.05946i
$427$	3.11701	−	1.79961i	0.150843	−	0.0870891i
$428$	−5.86664	+	2.03188i	−0.283575	+	0.0982148i
$429$	38.3223	+	8.57182i	1.85022	+	0.413851i
$430$	4.76999	−	6.70005i	0.230030	−	0.323105i
$431$	−11.0367			−0.531621			−0.265810	−	0.964025i	$-0.585640\pi$
$431$	−11.0367			−0.531621			−0.265810	+	0.964025i	$0.585640\pi$
$432$	20.7841	−	0.138542i	0.999978	−	0.00666562i
$433$	34.9394			1.67908			0.839541	−	0.543297i	$-0.182824\pi$
$433$	34.9394			1.67908			0.839541	+	0.543297i	$0.182824\pi$
$434$	7.91656	−	11.1198i	0.380007	−	0.533767i
$435$	14.0880	+	3.15117i	0.675469	+	0.151087i
$436$	−34.1756	+	11.8366i	−1.63672	+	0.566869i
$437$	−4.26901	+	2.46472i	−0.204215	+	0.117903i
$438$	21.0602	−	18.9250i	1.00629	−	0.904273i
$439$	−6.58518	+	11.4059i	−0.314293	+	0.544372i	−0.979287	−	0.202477i	$-0.935101\pi$
$439$	−6.58518	+	11.4059i	−0.314293	+	0.544372i	0.664994	+	0.746849i	$0.268434\pi$
$440$	−30.3214	−	8.89249i	−1.44552	−	0.423933i
$441$	0.926503	+	11.0716i	0.0441192	+	0.527217i
$442$	−1.19835	+	12.5640i	−0.0569996	+	0.597609i
$443$	−23.6849	−	13.6745i	−1.12530	−	0.649694i	−0.182554	−	0.983196i	$-0.558436\pi$
$443$	−23.6849	−	13.6745i	−1.12530	−	0.649694i	−0.942749	+	0.333502i	$0.891770\pi$
$444$	−27.4812	+	3.12869i	−1.30420	+	0.148481i
$445$	4.93787	−	2.85088i	0.234077	−	0.135145i
$446$	3.09400	+	6.77298i	0.146505	+	0.320710i
$447$	−12.5925	+	3.94427i	−0.595606	+	0.186558i
$448$	−12.9062	+	6.66420i	−0.609760	+	0.314854i
$449$	−13.8225			−0.652323			−0.326161	−	0.945314i	$-0.605755\pi$
$449$	−13.8225			−0.652323			−0.326161	+	0.945314i	$0.605755\pi$
$450$	0.00999636	−	0.861492i	0.000471233	−	0.0406111i
$451$		−	23.1407i		−	1.08965i
$452$	−3.71130	+	4.28495i	−0.174565	+	0.201547i
$453$	−5.32317	+	5.78723i	−0.250104	+	0.271908i
$454$	2.28206	−	1.04248i	0.107102	−	0.0489259i
$455$	−9.58588	−	16.6032i	−0.449393	−	0.778371i
$456$	5.04925	−	9.12664i	0.236453	−	0.427394i
$457$	−2.86205	+	4.95722i	−0.133881	+	0.231889i	−0.925170	−	0.379554i	$-0.876077\pi$
$457$	−2.86205	+	4.95722i	−0.133881	+	0.231889i	0.791288	+	0.611443i	$0.209411\pi$
$458$	−0.512731	+	5.37570i	−0.0239584	+	0.251190i
$459$	−7.91277	−	6.14324i	−0.369337	−	0.286742i
$460$	−1.99672	+	10.3721i	−0.0930977	+	0.483600i
$461$	−19.3717	−	11.1843i	−0.902231	−	0.520903i	−0.0243074	−	0.999705i	$-0.507738\pi$
$461$	−19.3717	−	11.1843i	−0.902231	−	0.520903i	−0.877923	+	0.478801i	$0.841071\pi$
$462$	6.75148	−	20.7093i	0.314107	−	0.963485i
$463$	18.5733	+	32.1699i	0.863174	+	1.49506i	0.868849	+	0.495077i	$0.164860\pi$
$463$	18.5733	+	32.1699i	0.863174	+	1.49506i	−0.00567564	+	0.999984i	$0.501807\pi$
$464$	14.4661	−	2.08629i	0.671571	−	0.0968537i
$465$	15.4580	+	14.2184i	0.716847	+	0.659365i
$466$	−16.6671	+	23.4110i	−0.772086	+	1.08449i
$467$			22.6850i			1.04974i	0.851184	+	0.524868i	$0.175885\pi$
$467$			22.6850i			1.04974i	−0.851184	+	0.524868i	$0.824115\pi$
$468$	11.2469	+	25.3958i	0.519889	+	1.17392i
$469$			16.2004i			0.748063i
$470$	10.6170	+	7.55862i	0.489727	+	0.348653i
$471$	−21.7778	+	6.82130i	−1.00347	+	0.314309i
$472$	9.68780	−	2.35356i	0.445917	−	0.108331i
$473$	6.24353	+	10.8141i	0.287078	+	0.497233i
$474$	−5.04204	−	23.8367i	−0.231589	−	1.09485i
$475$	−0.374425	−	0.216174i	−0.0171798	−	0.00991875i
$476$	6.87447	+	1.32340i	0.315091	+	0.0606582i
$477$	11.4514	−	24.3173i	0.524324	−	1.11341i
$478$	24.4908	+	2.33592i	1.12018	+	0.106842i
$479$	13.1576	−	22.7897i	0.601188	−	1.04129i	−0.391453	−	0.920198i	$-0.628027\pi$
$479$	13.1576	−	22.7897i	0.601188	−	1.04129i	0.992641	−	0.121091i	$-0.0386392\pi$
$480$	−7.69890	−	20.9815i	−0.351405	−	0.957668i
$481$	−18.4804	−	32.0090i	−0.842634	−	1.45948i
$482$	8.05763	+	17.6387i	0.367015	+	0.803421i
$483$	−7.10556	−	1.58935i	−0.323314	−	0.0723180i
$484$	17.0056	−	19.6341i	0.772984	−	0.892460i
$485$		−	31.9056i		−	1.44876i
$486$	−21.8039	−	3.25452i	−0.989043	−	0.147628i
$487$	−24.0388			−1.08930			−0.544652	−	0.838662i	$-0.683338\pi$
$487$	−24.0388			−1.08930			−0.544652	+	0.838662i	$0.683338\pi$
$488$	3.87050	+	4.05663i	0.175209	+	0.183635i
$489$	7.78504	−	34.8048i	0.352051	−	1.57393i
$490$	10.8666	−	4.96401i	0.490901	−	0.224251i
$491$	27.2256	−	15.7187i	1.22867	−	0.709374i	0.261920	−	0.965090i	$-0.415644\pi$
$491$	27.2256	−	15.7187i	1.22867	−	0.709374i	0.966752	+	0.255715i	$0.0823109\pi$
$492$	13.1577	−	9.73446i	0.593197	−	0.438863i
$493$	−6.10058	−	3.52217i	−0.274756	−	0.158631i
$494$	13.8752	+	1.32340i	0.624274	+	0.0595428i
$495$	30.3214	+	14.2788i	1.36285	+	0.641785i
$496$	19.7442	+	7.89449i	0.886542	+	0.354473i
$497$	−12.1250	+	21.0011i	−0.543881	+	0.942029i
$498$	8.63788	−	1.82713i	0.387073	−	0.0818755i
$499$	5.08156	−	2.93384i	0.227482	−	0.131337i	−0.381928	−	0.924192i	$-0.624740\pi$
$499$	5.08156	−	2.93384i	0.227482	−	0.131337i	0.609410	+	0.792855i	$0.291406\pi$
$500$	20.6787	−	7.16197i	0.924779	−	0.320293i
$501$	−2.62909	−	8.39366i	−0.117459	−	0.375001i
$502$	−5.19298	−	3.69706i	−0.231774	−	0.165008i
$503$	32.4317			1.44606			0.723029	−	0.690818i	$-0.242749\pi$
$503$	32.4317			1.44606			0.723029	+	0.690818i	$0.242749\pi$
$504$	14.6154	−	4.87280i	0.651021	−	0.217052i
$505$	2.97861			0.132546
$506$	−13.0641	−	9.30076i	−0.580769	−	0.413469i
$507$	−9.88348	+	10.7451i	−0.438941	+	0.477207i
$508$	4.87611	+	14.0787i	0.216342	+	0.624643i
$509$	−13.6855	+	7.90133i	−0.606599	+	0.350220i	−0.771633	−	0.636068i	$-0.780560\pi$
$509$	−13.6855	+	7.90133i	−0.606599	+	0.350220i	0.165034	+	0.986288i	$0.447227\pi$
$510$	−3.33876	+	10.2412i	−0.147843	+	0.453489i
$511$	10.4937	−	18.1756i	0.464214	−	0.804042i
$512$	−14.8344	−	17.0862i	−0.655596	−	0.755112i
$513$	−6.78434	+	8.73854i	−0.299536	+	0.385816i
$514$	−11.5796	−	1.10445i	−0.510753	−	0.0487153i
$515$	−12.7341	−	7.35202i	−0.561130	−	0.323969i
$516$	−3.52245	+	8.09917i	−0.155067	+	0.356546i
$517$	−17.1362	+	9.89361i	−0.753650	+	0.435120i
$518$	−18.6480	+	8.51870i	−0.819346	+	0.374290i
$519$	−16.2506	−	14.9475i	−0.713324	−	0.656124i
$520$	21.6083	−	20.6168i	0.947585	−	0.904107i
$521$	5.50310			0.241095			0.120548	−	0.992708i	$-0.461535\pi$
$521$	5.50310			0.241095			0.120548	+	0.992708i	$0.461535\pi$
$522$	−15.5013	−	0.179870i	−0.678473	−	0.00787270i
$523$			38.5894i			1.68740i	0.536818	+	0.843698i	$0.319626\pi$
$523$			38.5894i			1.68740i	−0.536818	+	0.843698i	$0.680374\pi$
$524$	−5.44911	−	4.71962i	−0.238046	−	0.206178i
$525$	−0.190883	−	0.609416i	−0.00833083	−	0.0265971i
$526$	−2.95429	−	6.46714i	−0.128813	−	0.281981i
$527$	−5.12430	−	8.87555i	−0.223218	−	0.386625i
$528$	33.8321	+	2.60421i	1.47235	+	0.113334i
$529$	8.81970	−	15.2762i	0.383465	−	0.664181i
$530$	−28.7717	−	2.74423i	−1.24976	−	0.119202i
$531$	−10.5375	+	0.881812i	−0.457289	+	0.0382674i
$532$	1.46151	−	7.59189i	0.0633647	−	0.329150i
$533$	18.9415	+	10.9359i	0.820449	+	0.473686i
$534$	−4.55422	+	4.09250i	−0.197080	+	0.177100i
$535$	−3.54046	−	6.13225i	−0.153067	−	0.265120i
$536$	−24.5237	+	5.95781i	−1.05926	+	0.257338i
$537$	−3.33472	+	14.9086i	−0.143904	+	0.643354i
$538$	26.6794	+	18.9940i	1.15023	+	0.818888i
$539$			18.1382i			0.781268i
$540$	4.63625	+	23.2473i	0.199512	+	1.00040i
$541$			22.5666i			0.970214i	0.874455	+	0.485107i	$0.161219\pi$
$541$			22.5666i			0.970214i	−0.874455	+	0.485107i	$0.838781\pi$
$542$	17.1723	−	24.1206i	0.737612	−	1.03607i
$543$	5.83634	−	26.0927i	0.250461	−	1.11974i
$544$	0.524803	+	10.8931i	0.0225008	+	0.467037i
$545$	−20.6246	−	35.7229i	−0.883463	−	1.53020i
$546$	13.7607	+	15.3132i	0.588905	+	0.655346i
$547$	−11.2679	−	6.50552i	−0.481780	−	0.278156i	0.239378	−	0.970927i	$-0.423057\pi$
$547$	−11.2679	−	6.50552i	−0.481780	−	0.278156i	−0.721158	+	0.692770i	$0.756390\pi$
$548$	−23.1017	−	4.44731i	−0.986856	−	0.189980i
$549$	−3.39262	−	4.88434i	−0.144794	−	0.208458i
$550$	0.133548	−	1.40018i	0.00569452	−	0.0597039i
$551$	−3.88974	+	6.73723i	−0.165709	+	0.287016i
$552$	−0.207203	−	11.3407i	−0.00881914	−	0.482693i
$553$	−9.02976	−	15.6400i	−0.383985	−	0.665081i
$554$	28.6208	−	13.0744i	1.21598	−	0.555479i
$555$	−9.42895	−	30.1029i	−0.400236	−	1.27780i
$556$	19.2720	+	16.6920i	0.817316	+	0.707899i
$557$		−	5.73693i		−	0.243081i	−0.992586	−	0.121541i	$-0.961217\pi$
$557$		−	5.73693i		−	0.243081i	0.992586	−	0.121541i	$-0.0387835\pi$
$558$	−19.4001	−	11.5028i	−0.821270	−	0.486953i
$559$	−11.8024			−0.499186
$560$	−10.2461	−	13.0174i	−0.432979	−	0.550087i
$561$	−12.0368	−	11.0716i	−0.508192	−	0.467442i
$562$	10.9067	+	23.8754i	0.460069	+	1.00712i
$563$	13.2510	−	7.65045i	0.558462	−	0.322428i	−0.194066	−	0.980988i	$-0.562168\pi$
$563$	13.2510	−	7.65045i	0.558462	−	0.322428i	0.752528	+	0.658560i	$0.228834\pi$
$564$	−12.8341	−	5.58173i	−0.540413	−	0.235033i
$565$	−5.59908	−	3.23263i	−0.235555	−	0.135998i
$566$	0.272830	−	2.86047i	0.0114679	−	0.120235i
$567$	−16.1136	+	2.71589i	−0.676706	+	0.114057i
$568$	−36.2500	−	10.6312i	−1.52102	−	0.446075i
$569$	6.63095	−	11.4851i	0.277984	−	0.481482i	−0.692900	−	0.721034i	$-0.743667\pi$
$569$	6.63095	−	11.4851i	0.277984	−	0.481482i	0.970884	+	0.239552i	$0.0770005\pi$
$570$	11.3100	+	3.68719i	0.473723	+	0.154439i
$571$	23.4262	−	13.5251i	0.980357	−	0.566009i	0.0779788	−	0.996955i	$-0.475153\pi$
$571$	23.4262	−	13.5251i	0.980357	−	0.566009i	0.902378	+	0.430946i	$0.141820\pi$
$572$	14.8399	+	42.8471i	0.620488	+	1.79153i
$573$	−11.2965	+	12.2813i	−0.471917	+	0.513058i
$574$	7.03616	−	9.88317i	0.293684	−	0.412515i
$575$	−0.470166			−0.0196073
$576$	12.7512	+	20.3324i	0.531302	+	0.847183i
$577$	−4.78434			−0.199174			−0.0995872	−	0.995029i	$-0.531752\pi$
$577$	−4.78434			−0.199174			−0.0995872	+	0.995029i	$0.531752\pi$
$578$	−10.8949	+	15.3033i	−0.453170	+	0.636534i
$579$	−3.61713	−	11.5481i	−0.150323	−	0.479922i
$580$	5.45544	+	15.7514i	0.226525	+	0.654043i
$581$	5.66760	−	3.27219i	0.235132	−	0.135753i
$582$	7.09037	+	33.5203i	0.293905	+	1.38946i
$583$	21.9406	−	38.0023i	0.908689	−	1.57390i
$584$	31.3729	+	9.20087i	1.29822	+	0.380735i
$585$	−26.0172	+	18.0713i	−1.07568	+	0.747157i
$586$	4.58148	−	48.0343i	0.189259	−	1.98428i
$587$	37.0796	+	21.4079i	1.53044	+	0.883598i	0.999341	+	0.0362861i	$0.0115528\pi$
$587$	37.0796	+	21.4079i	1.53044	+	0.883598i	0.531095	+	0.847312i	$0.321781\pi$
$588$	−10.3134	+	7.63011i	−0.425316	+	0.314660i
$589$	−9.80179	+	5.65906i	−0.403876	+	0.233178i
$590$	4.72457	+	10.3424i	0.194507	+	0.425790i
$591$	1.63270	−	7.29935i	0.0671602	−	0.300255i
$592$	−19.7533	−	25.0961i	−0.811857	−	1.03144i
$593$	−0.825572			−0.0339022			−0.0169511	−	0.999856i	$-0.505396\pi$
$593$	−0.825572			−0.0339022			−0.0169511	+	0.999856i	$0.505396\pi$
$594$	−35.0291	−	8.26313i	−1.43726	−	0.339040i
$595$			7.98438i			0.327328i
$596$	−11.5177	−	9.97575i	−0.471782	−	0.408623i
$597$	−9.98364	−	2.23311i	−0.408603	−	0.0913952i
$598$	13.7869	−	6.29807i	0.563788	−	0.257547i
$599$	−0.961228	−	1.66490i	−0.0392747	−	0.0680258i	0.845720	−	0.533627i	$-0.179171\pi$
$599$	−0.961228	−	1.66490i	−0.0392747	−	0.0680258i	−0.884995	+	0.465601i	$0.845838\pi$
$600$	0.852319	−	0.513071i	0.0347958	−	0.0209461i
$601$	−21.5937	+	37.4014i	−0.880825	+	1.52563i	−0.0303994	+	0.999538i	$0.509678\pi$
$601$	−21.5937	+	37.4014i	−0.880825	+	1.52563i	−0.850425	+	0.526096i	$0.823655\pi$
$602$	−0.621589	+	6.51702i	−0.0253341	+	0.265614i
$603$	26.6747	−	2.23222i	1.08628	−	0.0909030i
$604$	−8.91581	−	1.71638i	−0.362779	−	0.0698386i
$605$	25.6556	+	14.8123i	1.04305	+	0.602205i
$606$	−3.12935	+	0.661936i	−0.127121	+	0.0268893i
$607$	20.5078	+	35.5206i	0.832386	+	1.44174i	0.896141	+	0.443770i	$0.146359\pi$
$607$	20.5078	+	35.5206i	0.832386	+	1.44174i	−0.0637546	+	0.997966i	$0.520307\pi$
$608$	12.0299	−	0.579571i	0.487876	−	0.0235047i
$609$	−10.9656	+	3.43467i	−0.444347	+	0.139180i
$610$	−3.70873	+	5.20937i	−0.150162	+	0.210921i
$611$		−	18.7022i		−	0.756611i
$612$	1.23183	−	11.5015i	0.0497936	−	0.464920i
$613$		−	5.05878i		−	0.204322i	−0.994768	−	0.102161i	$-0.967424\pi$
$613$		−	5.05878i		−	0.204322i	0.994768	−	0.102161i	$-0.0325757\pi$
$614$	−5.50216	−	3.91717i	−0.222049	−	0.158084i
$615$	13.7389	+	12.6372i	0.554007	+	0.509582i
$616$	24.4409	−	5.93768i	0.984750	−	0.239236i
$617$	−16.0739	−	27.8408i	−0.647112	−	1.12083i	−0.983809	−	0.179217i	$-0.942643\pi$
$617$	−16.0739	−	27.8408i	−0.647112	−	1.12083i	0.336698	−	0.941613i	$-0.390690\pi$
$618$	15.0124	+	4.89421i	0.603886	+	0.196874i
$619$	−27.3562	−	15.7941i	−1.09954	−	0.634820i	−0.163440	−	0.986553i	$-0.552259\pi$
$619$	−27.3562	−	15.7941i	−1.09954	−	0.634820i	−0.936100	+	0.351734i	$0.885592\pi$
$620$	−4.58454	+	23.8146i	−0.184120	+	0.956416i
$621$	−1.63788	+	11.9186i	−0.0657259	+	0.478278i
$622$	−31.4707	−	3.00165i	−1.26186	−	0.120355i
$623$	−2.26924	+	3.93044i	−0.0909153	+	0.157470i
$624$	−18.1202	+	26.4622i	−0.725387	+	1.05934i
$625$	12.9871	+	22.4942i	0.519482	+	0.899770i
$626$	−1.43863	−	3.14927i	−0.0574993	−	0.125870i
$627$	−12.2270	+	13.2929i	−0.488298	+	0.530867i
$628$	−19.9189	−	17.2522i	−0.794849	−	0.688440i
$629$			15.3929i			0.613756i
$630$	8.60838	+	15.3179i	0.342966	+	0.610280i
$631$	−15.4885			−0.616586			−0.308293	−	0.951292i	$-0.599758\pi$
$631$	−15.4885			−0.616586			−0.308293	+	0.951292i	$0.599758\pi$
$632$	20.3547	−	19.4207i	0.809665	−	0.772516i
$633$	30.3044	−	9.49205i	1.20449	−	0.377275i
$634$	−21.2236	+	9.69525i	−0.842896	+	0.385048i
$635$	−14.7162	+	8.49638i	−0.583993	+	0.337168i
$636$	30.8377	−	3.51082i	1.22279	−	0.139213i
$637$	−14.8468	−	8.57182i	−0.588253	−	0.339628i
$638$	−25.1942	−	2.40301i	−0.997449	−	0.0951361i
$639$	36.2500	+	17.0707i	1.43403	+	0.675305i
$640$	15.9374	−	20.2976i	0.629980	−	0.802334i
$641$	−15.2248	+	26.3701i	−0.601344	+	1.04156i	0.391274	+	0.920274i	$0.372034\pi$
$641$	−15.2248	+	26.3701i	−0.601344	+	1.04156i	−0.992618	+	0.121284i	$0.961299\pi$
$642$	5.08241	+	5.65581i	0.200587	+	0.223217i
$643$	−14.5911	+	8.42419i	−0.575418	+	0.332218i	−0.759310	−	0.650729i	$-0.774463\pi$
$643$	−14.5911	+	8.42419i	−0.575418	+	0.332218i	0.183893	+	0.982946i	$0.441130\pi$
$644$	−2.75155	−	7.94454i	−0.108426	−	0.313059i
$645$	−9.83009	−	2.19877i	−0.387060	−	0.0865764i
$646$	−4.72878	−	3.36658i	−0.186051	−	0.132456i
$647$	18.6734			0.734126			0.367063	−	0.930196i	$-0.380363\pi$
$647$	18.6734			0.734126			0.367063	+	0.930196i	$0.380363\pi$
$648$	−10.0371	−	23.3935i	−0.394295	−	0.918984i
$649$	−17.2633			−0.677644
$650$	1.08299	+	0.771017i	0.0424783	+	0.0302418i
$651$	−16.3146	−	3.64920i	−0.639419	−	0.143024i
$652$	38.9143	−	13.4778i	1.52400	−	0.527831i
$653$	31.4276	−	18.1448i	1.22986	−	0.710059i	0.262858	−	0.964834i	$-0.415335\pi$
$653$	31.4276	−	18.1448i	1.22986	−	0.710059i	0.967000	+	0.254775i	$0.0820015\pi$
$654$	29.6071	+	32.9474i	1.15773	+	1.28835i
$655$	4.11089	−	7.12028i	0.160626	−	0.278212i
$656$	17.5485	+	7.01655i	0.685153	+	0.273950i
$657$	−31.3729	−	14.7740i	−1.22397	−	0.576388i
$658$	−10.3270	−	0.984980i	−0.402588	−	0.0383985i
$659$	19.3088	+	11.1480i	0.752166	+	0.434263i	0.826476	−	0.562972i	$-0.190342\pi$
$659$	19.3088	+	11.1480i	0.752166	+	0.434263i	−0.0743103	+	0.997235i	$0.523676\pi$
$660$	4.37767	+	38.4517i	0.170400	+	1.49673i
$661$	5.19793	−	3.00103i	0.202176	−	0.116726i	−0.395494	−	0.918469i	$-0.629427\pi$
$661$	5.19793	−	3.00103i	0.202176	−	0.116726i	0.597670	+	0.801742i	$0.296093\pi$
$662$	−0.488978	+	0.223373i	−0.0190047	+	0.00868162i
$663$	14.7509	−	4.62032i	0.572877	−	0.179438i
$664$	7.03765	+	7.37609i	0.273114	+	0.286248i
$665$	8.81762			0.341933
$666$	16.5959	+	29.5310i	0.643078	+	1.14430i
$667$			8.45996i			0.327571i
$668$	6.64943	−	7.67720i	0.257274	−	0.297040i
$669$	6.17388	−	6.71211i	0.238696	−	0.259505i
$670$	−11.9598	−	26.1807i	−0.462046	−	1.01145i
$671$	−4.85442	−	8.40810i	−0.187403	−	0.324591i
$672$	13.6576	+	11.3992i	0.526852	+	0.439736i
$673$	−3.70444	+	6.41629i	−0.142796	+	0.247330i	−0.928548	−	0.371211i	$-0.878943\pi$
$673$	−3.70444	+	6.41629i	−0.142796	+	0.247330i	0.785753	+	0.618541i	$0.212276\pi$
$674$	−7.09183	−	0.676414i	−0.273167	−	0.0260545i
$675$	−0.977130	+	0.398269i	−0.0376098	+	0.0153294i
$676$	−16.5539	−	3.18679i	−0.636689	−	0.122569i
$677$	8.57613	+	4.95143i	0.329607	+	0.190299i	0.655667	−	0.755050i	$-0.272388\pi$
$677$	8.57613	+	4.95143i	0.329607	+	0.190299i	−0.326059	+	0.945349i	$0.605721\pi$
$678$	6.60083	+	2.15195i	0.253503	+	0.0826451i
$679$	12.6981	+	21.9938i	0.487309	+	0.844043i
$680$	−12.0865	+	2.93632i	−0.463498	+	0.112603i
$681$	−2.26154	−	2.08020i	−0.0866626	−	0.0797133i
$682$	−29.9955	−	21.3548i	−1.14859	−	0.817719i
$683$		−	39.0736i		−	1.49511i	−0.664200	−	0.747555i	$-0.731228\pi$
$683$		−	39.0736i		−	1.49511i	0.664200	−	0.747555i	$-0.268772\pi$
$684$	−12.7018	−	1.36038i	−0.485664	−	0.0520153i
$685$		−	26.8316i		−	1.02518i
$686$	−15.9395	+	22.3890i	−0.608572	+	0.854815i
$687$	6.31139	−	1.97687i	0.240794	−	0.0754224i
$688$	−10.0939	+	1.45574i	−0.384826	+	0.0554994i
$689$	20.7376	+	35.9185i	0.790039	+	1.36839i
$690$	12.6563	−	2.67713i	0.481818	−	0.101916i
$691$	2.07502	+	1.19801i	0.0789375	+	0.0455746i	0.538949	−	0.842338i	$-0.318821\pi$
$691$	2.07502	+	1.19801i	0.0789375	+	0.0455746i	−0.460012	+	0.887913i	$0.652155\pi$
$692$	4.81962	−	25.0357i	0.183215	−	0.951715i
$693$	−26.5846	+	2.22468i	−1.00986	+	0.0845086i
$694$	−1.30294	+	13.6606i	−0.0494590	+	0.518551i
$695$	−14.5391	+	25.1825i	−0.551500	+	0.955227i
$696$	−9.23198	−	15.3363i	−0.349937	−	0.581319i
$697$	−4.55443	−	7.88850i	−0.172511	−	0.298798i
$698$	−38.8032	+	17.7259i	−1.46872	+	0.670934i
$699$	34.3478	+	7.68281i	1.29915	+	0.290591i
$700$	0.482777	−	0.557398i	0.0182472	−	0.0210677i
$701$			30.9184i			1.16777i	0.811836	+	0.583885i	$0.198468\pi$
$701$			30.9184i			1.16777i	−0.811836	+	0.583885i	$0.801532\pi$
$702$	23.3179	−	24.7677i	0.880077	−	0.934796i
$703$	16.9993			0.641141
$704$	17.9766	+	34.8143i	0.677519	+	1.31211i
$705$	3.48421	−	15.5769i	0.131223	−	0.586662i
$706$	−15.5575	−	34.0563i	−0.585513	−	1.28173i
$707$	−2.05327	+	1.18546i	−0.0772212	+	0.0445837i
$708$	−7.26206	−	9.81588i	−0.272925	−	0.368903i
$709$	−4.46959	−	2.58052i	−0.167859	−	0.0969133i	0.413717	−	0.910406i	$-0.364230\pi$
$709$	−4.46959	−	2.58052i	−0.167859	−	0.0969133i	−0.581576	+	0.813492i	$0.697564\pi$
$710$	4.09084	−	42.8902i	0.153526	−	1.60964i
$711$	−24.5078	+	17.0229i	−0.919115	+	0.638410i
$712$	−6.78434	−	1.98967i	−0.254254	−	0.0745661i
$713$	−6.15406	+	10.6591i	−0.230471	+	0.399188i
$714$	−1.77437	−	8.38846i	−0.0664040	−	0.313930i
$715$	−44.7870	+	25.8578i	−1.67494	+	0.967027i
$716$	−16.6689	+	5.77320i	−0.622947	+	0.215755i
$717$	−9.00631	−	28.7536i	−0.336347	−	1.07382i
$718$	−19.2434	+	27.0298i	−0.718158	+	1.00874i
$719$	14.7871			0.551465			0.275733	−	0.961234i	$-0.411080\pi$
$719$	14.7871			0.551465			0.275733	+	0.961234i	$0.411080\pi$
$720$	−20.0220	+	18.6644i	−0.746177	+	0.695581i
$721$	11.7041			0.435884
$722$	11.8659	−	16.6671i	0.441602	−	0.620286i
$723$	16.0785	−	17.4802i	0.597965	−	0.650095i
$724$	29.1735	−	10.1041i	1.08423	−	0.375517i
$725$	−0.642593	+	0.371001i	−0.0238653	+	0.0137786i
$726$	−30.2458	−	9.86048i	−1.12253	−	0.365957i
$727$	−1.06681	+	1.84777i	−0.0395658	+	0.0685299i	−0.885130	−	0.465344i	$-0.845931\pi$
$727$	−1.06681	+	1.84777i	−0.0395658	+	0.0685299i	0.845564	+	0.533873i	$0.179264\pi$
$728$	−6.69012	+	22.8118i	−0.247952	+	0.845463i
$729$	6.69210	+	26.1575i	0.247855	+	0.968797i
$730$	−3.54046	+	37.1198i	−0.131038	+	1.37386i
$731$	4.25675	+	2.45764i	0.157442	+	0.0908990i
$732$	2.73875	−	6.29721i	0.101227	−	0.232751i
$733$	22.2298	−	12.8344i	0.821076	−	0.474048i	−0.0297113	−	0.999559i	$-0.509459\pi$
$733$	22.2298	−	12.8344i	0.821076	−	0.474048i	0.850787	+	0.525510i	$0.176125\pi$
$734$	−11.3129	−	24.7648i	−0.417568	−	0.914085i
$735$	−10.7689	−	9.90536i	−0.397217	−	0.365365i
$736$	11.0143	−	7.08689i	0.405993	−	0.261226i
$737$	43.7003			1.60972
$738$	−17.2426	−	10.2236i	−0.634709	−	0.376335i
$739$		−	5.46282i		−	0.200953i	−0.994939	−	0.100476i	$-0.967963\pi$
$739$		−	5.46282i		−	0.200953i	0.994939	−	0.100476i	$-0.0320367\pi$
$740$	23.8474	−	27.5334i	0.876649	−	1.01215i
$741$	−5.10249	−	16.2903i	−0.187445	−	0.598438i
$742$	20.9257	−	9.55916i	0.768205	−	0.350928i
$743$	−16.8170	−	29.1279i	−0.616955	−	1.06860i	−0.990038	−	0.140800i	$-0.955033\pi$
$743$	−16.8170	−	29.1279i	−0.616955	−	1.06860i	0.373083	−	0.927798i	$-0.378301\pi$
$744$	−0.475745	−	26.0386i	−0.0174416	−	0.954622i
$745$	8.68910	−	15.0500i	0.318344	−	0.551388i
$746$	−1.40972	+	14.7802i	−0.0516137	+	0.541141i
$747$	−6.16874	−	8.88109i	−0.225702	−	0.324942i
$748$	3.56987	−	18.5438i	0.130527	−	0.678029i
$749$	4.88115	+	2.81813i	0.178353	+	0.102972i
$750$	−17.9144	−	19.9355i	−0.654143	−	0.727943i
$751$	−12.6727	−	21.9498i	−0.462435	−	0.800961i	0.536647	−	0.843807i	$-0.319691\pi$
$751$	−12.6727	−	21.9498i	−0.462435	−	0.800961i	−0.999082	+	0.0428462i	$0.986357\pi$
$752$	−2.30679	−	15.9949i	−0.0841198	−	0.583276i
$753$	−1.70419	+	7.61897i	−0.0621042	+	0.277651i
$754$	13.8733	−	19.4868i	0.505237	−	0.709669i
$755$		−	10.3553i		−	0.376868i
$756$	−12.4481	−	14.1801i	−0.452734	−	0.515725i
$757$			3.95103i			0.143603i	0.997419	+	0.0718014i	$0.0228748\pi$
$757$			3.95103i			0.143603i	−0.997419	+	0.0718014i	$0.977125\pi$
$758$	−40.9219	−	29.1337i	−1.48635	−	1.05818i
$759$	−4.28726	+	19.1672i	−0.155618	+	0.695724i
$760$	3.24275	+	13.3479i	0.117627	+	0.484179i
$761$	−23.3979	−	40.5264i	−0.848175	−	1.46908i	−0.882835	−	0.469682i	$-0.844368\pi$
$761$	−23.3979	−	40.5264i	−0.848175	−	1.46908i	0.0346607	−	0.999399i	$-0.488965\pi$
$762$	13.5728	−	12.1967i	0.491690	−	0.441841i
$763$	28.4347	+	16.4168i	1.02941	+	0.594328i
$764$	−18.9205	−	3.64239i	−0.684521	−	0.131777i
$765$	13.1467	−	1.10015i	0.475318	−	0.0397761i
$766$	50.7928	+	4.84459i	1.83522	+	0.175042i
$767$	8.15835	−	14.1307i	0.294581	−	0.510229i
$768$	−12.2332	+	24.8666i	−0.441428	+	0.897297i
$769$	2.60083	+	4.50478i	0.0937885	+	0.162446i	0.909102	−	0.416573i	$-0.136769\pi$
$769$	2.60083	+	4.50478i	0.0937885	+	0.162446i	−0.815314	+	0.579019i	$0.803436\pi$
$770$	11.9194	+	26.0923i	0.429544	+	0.940302i
$771$	4.25830	+	13.5951i	0.153359	+	0.489615i
$772$	9.14835	−	10.5624i	0.329256	−	0.380148i
$773$			38.8477i			1.39725i	0.715486	+	0.698627i	$0.246205\pi$
$773$			38.8477i			1.39725i	−0.715486	+	0.698627i	$0.753795\pi$
$774$	10.8162	+	0.125507i	0.388781	+	0.00451124i
$775$	−1.07952			−0.0387773
$776$	−28.6238	+	27.3104i	−1.02753	+	0.980387i
$777$	18.4804	+	16.9985i	0.662981	+	0.609818i
$778$	−26.0298	+	11.8908i	−0.933212	+	0.426306i
$779$	−8.71173	+	5.02972i	−0.312130	+	0.180209i
$780$	−33.5430	−	14.5884i	−1.20103	−	0.522347i
$781$	56.6503	+	32.7071i	2.02711	+	1.17035i
$782$	−6.28399	−	0.599362i	−0.224715	−	0.0214332i
$783$	7.16627	+	17.5821i	0.256102	+	0.628331i
$784$	−13.7549	−	5.49974i	−0.491247	−	0.196419i
$785$	15.0271	−	26.0277i	0.536340	−	0.928968i
$786$	−2.73660	+	8.39419i	−0.0976115	+	0.299411i
$787$	−40.8579	+	23.5893i	−1.45643	+	0.840869i	−0.998833	−	0.0482918i	$-0.984622\pi$
$787$	−40.8579	+	23.5893i	−1.45643	+	0.840869i	−0.457595	+	0.889161i	$0.651289\pi$
$788$	8.16121	−	2.82660i	0.290731	−	0.100693i
$789$	−5.89509	+	6.40902i	−0.209871	+	0.228167i
$790$	26.1387	+	18.6090i	0.929974	+	0.662080i
$791$	5.14621			0.182978
$792$	−13.1443	−	39.4249i	−0.467063	−	1.40090i
$793$	9.17648			0.325866
$794$	−4.60252	−	3.27669i	−0.163337	−	0.116285i
$795$	10.5806	+	33.7797i	0.375255	+	1.19804i
$796$	−3.86606	−	11.1624i	−0.137029	−	0.395642i
$797$	6.35645	−	3.66990i	0.225157	−	0.129995i	−0.383179	−	0.923674i	$-0.625171\pi$
$797$	6.35645	−	3.66990i	0.225157	−	0.129995i	0.608336	+	0.793680i	$0.291837\pi$
$798$	−9.26387	+	1.95954i	−0.327938	+	0.0693669i
$799$	−3.89442	+	6.74533i	−0.137775	+	0.238633i
$800$	1.02132	+	0.525828i	0.0361091	+	0.0185908i
$801$	6.78434	+	3.19485i	0.239713	+	0.112884i
$802$	39.4541	+	3.76310i	1.39317	+	0.132880i
$803$	−49.0286	−	28.3067i	−1.73018	−	0.998920i
$804$	18.3832	+	24.8479i	0.648325	+	0.876318i
$805$	8.30423	−	4.79445i	0.292686	−	0.168982i
$806$	31.6552	−	14.4606i	1.11501	−	0.509351i
$807$	8.75542	−	39.1431i	0.308205	−	1.37790i
$808$	−2.54962	−	2.67223i	−0.0896953	−	0.0940087i
$809$	2.25520			0.0792887			0.0396443	−	0.999214i	$-0.487378\pi$
$809$	2.25520			0.0792887			0.0396443	+	0.999214i	$0.487378\pi$
$810$	24.0355	−	16.2847i	0.844521	−	0.572187i
$811$			15.9986i			0.561785i	0.959739	+	0.280893i	$0.0906305\pi$
$811$			15.9986i			0.561785i	−0.959739	+	0.280893i	$0.909369\pi$
$812$	−10.0296	−	8.68687i	−0.351969	−	0.304849i
$813$	−35.3889	−	7.91569i	−1.24114	−	0.277615i
$814$	22.9791	+	50.3028i	0.805417	+	1.76311i
$815$	23.4844	+	40.6761i	0.822622	+	1.42482i
$816$	12.0457	−	5.77091i	0.421684	−	0.202022i
$817$	2.71411	−	4.70098i	0.0949548	−	0.164467i
$818$	23.1582	+	2.20881i	0.809707	+	0.0772293i
$819$	10.7424	−	22.8118i	0.375371	−	0.797110i
$820$	−4.07470	+	21.1662i	−0.142295	+	0.739154i
$821$	−25.2413	−	14.5731i	−0.880928	−	0.508604i	−0.00996351	−	0.999950i	$-0.503172\pi$
$821$	−25.2413	−	14.5731i	−0.880928	−	0.508604i	−0.870964	+	0.491347i	$0.836505\pi$
$822$	5.96277	+	28.1895i	0.207976	+	0.983221i
$823$	−4.15695	−	7.20005i	−0.144902	−	0.250978i	0.784434	−	0.620212i	$-0.212953\pi$
$823$	−4.15695	−	7.20005i	−0.144902	−	0.250978i	−0.929336	+	0.369234i	$0.879620\pi$
$824$	4.30428	+	17.7174i	0.149947	+	0.617215i
$825$	−1.64389	+	0.514906i	−0.0572330	+	0.0179267i
$826$	−7.37300	−	5.24908i	−0.256539	−	0.182639i
$827$		−	43.5035i		−	1.51277i	−0.654129	−	0.756383i	$-0.726965\pi$
$827$		−	43.5035i		−	1.51277i	0.654129	−	0.756383i	$-0.273035\pi$
$828$	−12.7019	+	5.62523i	−0.441422	+	0.195490i
$829$		−	15.9248i		−	0.553092i	−0.961001	−	0.276546i	$-0.910810\pi$
$829$		−	15.9248i		−	0.553092i	0.961001	−	0.276546i	$-0.0891897\pi$
$830$	−6.74351	+	9.47210i	−0.234071	+	0.328781i
$831$	−28.3636	−	26.0892i	−0.983921	−	0.905023i
$832$	−36.9923	−	1.73811i	−1.28248	−	0.0602582i
$833$	3.56987	+	6.18320i	0.123689	+	0.214235i
$834$	9.67863	−	29.6880i	0.335144	−	1.02801i
$835$	10.0317	+	5.79180i	0.347161	+	0.200433i
$836$	−20.4790	−	3.94242i	−0.708282	−	0.136351i
$837$	−3.76062	+	27.3656i	−0.129986	+	0.945892i
$838$	−3.18741	+	33.4183i	−0.110107	+	1.15442i
$839$	−21.0582	+	36.4739i	−0.727009	+	1.25922i	0.231132	+	0.972922i	$0.425757\pi$
$839$	−21.0582	+	36.4739i	−0.727009	+	1.25922i	−0.958142	+	0.286295i	$0.907576\pi$
$840$	−9.82198	+	17.7534i	−0.338890	+	0.612552i
$841$	−7.82437	−	13.5522i	−0.269806	−	0.467318i
$842$	38.5329	−	17.6024i	1.32793	−	0.606619i
$843$	21.7635	−	23.6608i	0.749575	−	0.814922i
$844$	27.7177	+	24.0070i	0.954083	+	0.826357i
$845$		−	19.2266i		−	0.661415i
$846$	−0.198880	+	17.1396i	−0.00683763	+	0.589271i
$847$	−23.5806			−0.810238
$848$	22.1660	+	28.1613i	0.761182	+	0.967061i
$849$	−3.35836	+	1.05192i	−0.115259	+	0.0361017i
$850$	−0.230051	−	0.503597i	−0.00789068	−	0.0172732i
$851$	16.0095	−	9.24311i	0.548800	−	0.316850i
$852$	5.23361	+	45.9700i	0.179300	+	1.57490i
$853$	−34.2013	−	19.7461i	−1.17103	−	0.676095i	−0.217108	−	0.976148i	$-0.569662\pi$
$853$	−34.2013	−	19.7461i	−1.17103	−	0.676095i	−0.953923	+	0.300053i	$0.902996\pi$
$854$	0.483293	−	5.06706i	0.0165379	−	0.173391i
$855$	−1.21496	−	14.5186i	−0.0415509	−	0.496526i
$856$	−2.47094	+	8.42535i	−0.0844549	+	0.287972i
$857$	−12.6170	+	21.8532i	−0.430988	+	0.746493i	−0.996959	−	0.0779326i	$-0.975168\pi$
$857$	−12.6170	+	21.8532i	−0.430988	+	0.746493i	0.565971	+	0.824425i	$0.308501\pi$
$858$	41.3073	−	37.1195i	1.41021	−	1.26724i
$859$	47.5539	−	27.4552i	1.62252	−	0.936761i	0.636274	−	0.771463i	$-0.280475\pi$
$859$	47.5539	−	27.4552i	1.62252	−	0.936761i	0.986244	−	0.165297i	$-0.0528584\pi$
$860$	−3.80660	−	10.9908i	−0.129804	−	0.374782i
$861$	−14.5003	−	3.24338i	−0.494167	−	0.110534i
$862$	−9.05233	+	12.7151i	−0.308324	+	0.433079i
$863$	−54.3877			−1.85138			−0.925689	−	0.378285i	$-0.876514\pi$
$863$	−54.3877			−1.85138			−0.925689	+	0.378285i	$0.876514\pi$
$864$	16.8875	−	24.0585i	0.574526	−	0.818486i
$865$	29.0778			0.988675
$866$	28.6573	−	40.2528i	0.973815	−	1.36784i
$867$	22.4525	+	5.02212i	0.762527	+	0.170560i
$868$	−6.31766	−	18.2409i	−0.214435	−	0.619137i
$869$	−42.1888	+	24.3577i	−1.43116	+	0.826278i
$870$	15.1854	−	13.6459i	0.514833	−	0.462638i
$871$	−20.6521	+	35.7704i	−0.699768	+	1.21203i
$872$	−14.3942	+	49.0812i	−0.487451	+	1.66210i
$873$	34.4641	−	23.9385i	1.16643	−	0.810196i
$874$	−0.661911	+	6.93977i	−0.0223895	+	0.234741i
$875$	−17.2050	−	9.93334i	−0.581637	−	0.335808i
$876$	−4.52948	−	39.7852i	−0.153037	−	1.34422i
$877$	5.90001	−	3.40637i	0.199229	−	0.115025i	−0.397067	−	0.917790i	$-0.629972\pi$
$877$	5.90001	−	3.40637i	0.199229	−	0.115025i	0.596296	+	0.802765i	$0.296639\pi$
$878$	7.73922	+	16.9417i	0.261186	+	0.571754i
$879$	−56.3951	+	17.6642i	−1.90216	+	0.595800i
$880$	−35.1144	+	27.6389i	−1.18371	+	0.931706i
$881$	−43.2881			−1.45841			−0.729207	−	0.684293i	$-0.760111\pi$
$881$	−43.2881			−1.45841			−0.729207	+	0.684293i	$0.760111\pi$
$882$	13.5152	+	8.01349i	0.455079	+	0.269828i
$883$			31.1510i			1.04832i	0.851621	+	0.524158i	$0.175620\pi$
$883$			31.1510i			1.04832i	−0.851621	+	0.524158i	$0.824380\pi$
$884$	13.4918	+	11.6856i	0.453778	+	0.393029i
$885$	9.42756	−	10.2494i	0.316904	−	0.344531i
$886$	−35.1803	+	16.0709i	−1.18191	+	0.539913i
$887$	−24.8886	−	43.1083i	−0.835677	−	1.44743i	−0.893478	−	0.449107i	$-0.851742\pi$
$887$	−24.8886	−	43.1083i	−0.835677	−	1.44743i	0.0578015	−	0.998328i	$-0.481591\pi$
$888$	−18.9356	+	34.2265i	−0.635437	+	1.14857i
$889$	6.76295	−	11.7138i	0.226822	−	0.392867i
$890$	0.765617	−	8.02708i	0.0256636	−	0.269068i
$891$	7.32608	+	43.4662i	0.245433	+	1.45617i
$892$	10.3407	+	1.99068i	0.346231	+	0.0666529i
$893$	7.44926	+	4.30083i	0.249280	+	0.143922i
$894$	−5.78430	+	17.7426i	−0.193456	+	0.593401i
$895$	−10.0595	−	17.4236i	−0.336253	−	0.582407i
$896$	−2.90800	+	20.3348i	−0.0971496	+	0.679339i
$897$	−13.6630	−	12.5674i	−0.456194	−	0.419613i
$898$	−11.3372	+	15.9245i	−0.378327	+	0.531407i
$899$			19.4243i			0.647838i
$900$	−0.984302	−	0.718112i	−0.0328101	−	0.0239371i
$901$		−	17.2730i		−	0.575447i
$902$	−26.6597	−	18.9800i	−0.887672	−	0.631964i
$903$	7.65135	−	2.39658i	0.254621	−	0.0797532i
$904$	1.89256	+	7.79021i	0.0629456	+	0.259098i
$905$	17.6059	+	30.4944i	0.585241	+	1.01367i
$906$	2.30125	+	10.8794i	0.0764541	+	0.361443i
$907$	−16.6712	−	9.62515i	−0.553559	−	0.319598i	0.196997	−	0.980404i	$-0.436881\pi$
$907$	−16.6712	−	9.62515i	−0.553559	−	0.319598i	−0.750556	+	0.660806i	$0.770214\pi$
$908$	0.670731	−	3.48413i	0.0222590	−	0.115625i
$909$	2.23483	+	3.21747i	0.0741245	+	0.106717i
$910$	−26.9905	−	2.57433i	−0.894725	−	0.0853383i
$911$	11.1396	−	19.2944i	0.369072	−	0.639252i	−0.620348	−	0.784326i	$-0.713009\pi$
$911$	11.1396	−	19.2944i	0.369072	−	0.639252i	0.989421	+	0.145074i	$0.0463421\pi$
$912$	−6.37315	−	13.3028i	−0.211036	−	0.440499i
$913$	−8.82669	−	15.2883i	−0.292121	−	0.505968i
$914$	3.36363	+	7.36321i	0.111259	+	0.243553i
$915$	7.64302	+	1.70957i	0.252670	+	0.0565166i
$916$	5.77266	+	4.99986i	0.190734	+	0.165200i
$917$			6.54438i			0.216114i
$918$	−13.5675	+	4.07741i	−0.447795	+	0.134575i
$919$	28.0122			0.924039			0.462019	−	0.886870i	$-0.347125\pi$
$919$	28.0122			0.924039			0.462019	+	0.886870i	$0.347125\pi$
$920$	10.3117	+	10.8075i	0.339965	+	0.356314i
$921$	−1.80565	+	8.07259i	−0.0594983	+	0.266001i
$922$	−28.7738	+	13.1443i	−0.947613	+	0.432884i
$923$	−53.5440	+	30.9136i	−1.76242	+	1.01753i
$924$	−18.3211	−	24.7640i	−0.602719	−	0.814675i
$925$	1.40416	+	0.810691i	0.0461684	+	0.0266554i
$926$	52.2958	+	4.98794i	1.71855	+	0.163914i
$927$	−1.61269	−	19.2714i	−0.0529677	−	0.632955i
$928$	9.46151	−	18.3772i	0.310589	−	0.603260i
$929$	−3.94220	+	6.82809i	−0.129339	+	0.224022i	−0.923421	−	0.383789i	$-0.874619\pi$
$929$	−3.94220	+	6.82809i	−0.129339	+	0.224022i	0.794081	+	0.607811i	$0.207952\pi$
$930$	29.0593	−	6.14677i	0.952893	−	0.201560i
$931$	6.82847	−	3.94242i	0.223794	−	0.129208i
$932$	13.3008	+	38.4033i	0.435683	+	1.25794i
$933$	11.5731	+	36.9484i	0.378886	+	1.20964i
$934$	26.1348	+	18.6062i	0.855156	+	0.608814i
$935$	21.5378			0.704361
$936$	38.4826	+	7.87240i	1.25784	+	0.257317i
$937$	−8.98600			−0.293560			−0.146780	−	0.989169i	$-0.546891\pi$
$937$	−8.98600			−0.293560			−0.146780	+	0.989169i	$0.546891\pi$
$938$	18.6640	+	13.2875i	0.609401	+	0.433853i
$939$	−2.87070	+	3.12096i	−0.0936817	+	0.101849i
$940$	17.4162	−	6.03201i	0.568053	−	0.196742i
$941$	−21.0227	+	12.1375i	−0.685322	+	0.395671i	−0.801857	−	0.597516i	$-0.796155\pi$
$941$	−21.0227	+	12.1375i	−0.685322	+	0.395671i	0.116535	+	0.993187i	$0.462821\pi$
$942$	−10.0035	+	30.6844i	−0.325931	+	0.999751i
$943$	−5.46967	+	9.47375i	−0.178117	+	0.308508i
$944$	5.23445	−	13.0914i	0.170367	−	0.426090i
$945$	13.1971	−	16.9985i	0.429302	−	0.552961i
$946$	17.5796	+	1.67673i	0.571561	+	0.0545151i
$947$	−1.71382	−	0.989473i	−0.0556916	−	0.0321536i	0.471896	−	0.881654i	$-0.343570\pi$
$947$	−1.71382	−	0.989473i	−0.0556916	−	0.0321536i	−0.527587	+	0.849501i	$0.676903\pi$
$948$	−31.5971	−	13.7420i	−1.02622	−	0.446320i
$949$	46.3402	−	26.7545i	1.50427	−	0.868488i
$950$	−0.556151	+	0.254059i	−0.0180439	+	0.00824275i
$951$	21.0328	+	19.3462i	0.682036	+	0.627345i
$952$	7.16310	−	6.83444i	0.232157	−	0.221505i
$953$	28.9674			0.938347			0.469173	−	0.883106i	$-0.344552\pi$
$953$	28.9674			0.938347			0.469173	+	0.883106i	$0.344552\pi$
$954$	−18.6229	−	33.1379i	−0.602939	−	1.07288i
$955$		−	21.9753i		−	0.711104i
$956$	22.7785	−	26.2993i	0.736710	−	0.850580i
$957$	9.26498	+	29.5795i	0.299494	+	0.956169i
$958$	−15.4635	−	33.8507i	−0.499604	−	1.09367i
$959$	10.6787	+	18.4960i	0.344833	+	0.597268i
$960$	−30.4868	−	8.33929i	−0.983957	−	0.269150i
$961$	1.37008	−	2.37304i	0.0441961	−	0.0765498i
$962$	−52.0343	−	4.96300i	−1.67765	−	0.160014i
$963$	3.96762	−	8.42535i	0.127855	−	0.271503i
$964$	26.9300	+	5.18428i	0.867355	+	0.166975i
$965$	13.8017	+	7.96842i	0.444293	+	0.256512i
$966$	−7.65903	+	6.88254i	−0.246425	+	0.221442i
$967$	0.00531192	+	0.00920052i	0.000170820	+	0.000295869i	0.866111	−	0.499852i	$-0.166612\pi$
$967$	0.00531192	+	0.00920052i	0.000170820	+	0.000295869i	−0.865940	+	0.500148i	$0.833279\pi$
$968$	−8.67193	−	35.6956i	−0.278726	−	1.14730i
$969$	−1.55185	+	6.93791i	−0.0498527	+	0.222878i
$970$	−36.7576	−	26.1690i	−1.18021	−	0.840235i
$971$			17.0984i			0.548715i	0.961628	+	0.274357i	$0.0884651\pi$
$971$			17.0984i			0.548715i	−0.961628	+	0.274357i	$0.911535\pi$
$972$	−21.6330	+	22.4503i	−0.693877	+	0.720093i
$973$		−	23.1457i		−	0.742017i
$974$	−19.7166	+	27.6945i	−0.631762	+	0.887389i
$975$	0.355407	−	1.58893i	0.0113821	−	0.0508864i
$976$	7.84812	−	1.13185i	0.251212	−	0.0362297i
$977$	−5.50612	−	9.53688i	−0.176156	−	0.305112i	0.764404	−	0.644737i	$-0.223033\pi$
$977$	−5.50612	−	9.53688i	−0.176156	−	0.305112i	−0.940561	+	0.339625i	$0.889700\pi$
$978$	−33.7124	−	37.5158i	−1.07800	−	1.19962i
$979$	10.6023	+	6.12126i	0.338852	+	0.195636i
$980$	3.19385	−	16.5905i	0.102024	−	0.529966i
$981$	23.1131	−	49.0812i	0.737943	−	1.56704i
$982$	4.22133	−	44.2583i	0.134708	−	1.41234i
$983$	22.7443	−	39.3943i	0.725432	−	1.25648i	−0.233364	−	0.972389i	$-0.574973\pi$
$983$	22.7443	−	39.3943i	0.725432	−	1.25648i	0.958796	−	0.284095i	$-0.0916932\pi$
$984$	−0.422837	−	23.1429i	−0.0134796	−	0.737768i
$985$	4.92521	+	8.53071i	0.156930	+	0.271811i
$986$	−9.06150	+	4.13943i	−0.288577	+	0.131826i
$987$	3.79767	+	12.1245i	0.120881	+	0.385926i
$988$	12.9051	−	14.8998i	0.410565	−	0.474024i
$989$		−	5.90304i		−	0.187706i
$990$	41.3199	−	23.2210i	1.31323	−	0.738012i
$991$	3.93737			0.125075			0.0625374	−	0.998043i	$-0.480081\pi$
$991$	3.93737			0.125075			0.0625374	+	0.998043i	$0.480081\pi$
$992$	25.2892	−	16.2717i	0.802934	−	0.516628i
$993$	0.484583	+	0.445725i	0.0153778	+	0.0141447i
$994$	14.2499	+	31.1940i	0.451979	+	0.989413i
$995$	11.6678	−	6.73642i	0.369895	−	0.213559i
$996$	4.97981	−	11.4501i	0.157791	−	0.362810i
$997$	2.16558	+	1.25030i	0.0685847	+	0.0395974i	0.533900	−	0.845547i	$-0.320726\pi$
$997$	2.16558	+	1.25030i	0.0685847	+	0.0395974i	−0.465316	+	0.885145i	$0.654059\pi$
$998$	0.787897	−	8.26066i	0.0249404	−	0.261487i
$999$	25.4424	−	32.7710i	0.804963	−	1.03683i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	72.2.n.b.61.6	yes	16
3.2	odd	2		216.2.n.b.181.3		16
4.3	odd	2		288.2.r.b.241.8		16
8.3	odd	2		288.2.r.b.241.1		16
8.5	even	2	inner	72.2.n.b.61.5	yes	16
9.2	odd	6		648.2.d.k.325.8		8
9.4	even	3	inner	72.2.n.b.13.5	✓	16
9.5	odd	6		216.2.n.b.37.4		16
9.7	even	3		648.2.d.j.325.1		8
12.11	even	2		864.2.r.b.721.2		16
24.5	odd	2		216.2.n.b.181.4		16
24.11	even	2		864.2.r.b.721.7		16
36.7	odd	6		2592.2.d.j.1297.7		8
36.11	even	6		2592.2.d.k.1297.2		8
36.23	even	6		864.2.r.b.145.7		16
36.31	odd	6		288.2.r.b.49.1		16
72.5	odd	6		216.2.n.b.37.3		16
72.11	even	6		2592.2.d.k.1297.7		8
72.13	even	6	inner	72.2.n.b.13.6	yes	16
72.29	odd	6		648.2.d.k.325.7		8
72.43	odd	6		2592.2.d.j.1297.2		8
72.59	even	6		864.2.r.b.145.2		16
72.61	even	6		648.2.d.j.325.2		8
72.67	odd	6		288.2.r.b.49.8		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
72.2.n.b.13.5	✓	16	9.4	even	3	inner
72.2.n.b.13.6	yes	16	72.13	even	6	inner
72.2.n.b.61.5	yes	16	8.5	even	2	inner
72.2.n.b.61.6	yes	16	1.1	even	1	trivial
216.2.n.b.37.3		16	72.5	odd	6
216.2.n.b.37.4		16	9.5	odd	6
216.2.n.b.181.3		16	3.2	odd	2
216.2.n.b.181.4		16	24.5	odd	2
288.2.r.b.49.1		16	36.31	odd	6
288.2.r.b.49.8		16	72.67	odd	6
288.2.r.b.241.1		16	8.3	odd	2
288.2.r.b.241.8		16	4.3	odd	2
648.2.d.j.325.1		8	9.7	even	3
648.2.d.j.325.2		8	72.61	even	6
648.2.d.k.325.7		8	72.29	odd	6
648.2.d.k.325.8		8	9.2	odd	6
864.2.r.b.145.2		16	72.59	even	6
864.2.r.b.145.7		16	36.23	even	6
864.2.r.b.721.2		16	12.11	even	2
864.2.r.b.721.7		16	24.11	even	2
2592.2.d.j.1297.2		8	72.43	odd	6
2592.2.d.j.1297.7		8	36.7	odd	6
2592.2.d.k.1297.2		8	36.11	even	6
2592.2.d.k.1297.7		8	72.11	even	6

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:	\( N \)	\(=\)	\( 72 = 2^{3} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	72.n (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.820200 - 1.15207i) q^{2} +(-1.69028 - 0.378078i) q^{3} +(-0.654545 - 1.88986i) q^{4} +(1.97542 - 1.14051i) q^{5} +(-1.82194 + 1.63723i) q^{6} +(-0.907824 + 1.57240i) q^{7} +(-2.71411 - 0.795980i) q^{8} +(2.71411 + 1.27812i) q^{9} +O(q^{10})\)	\(q+(0.820200 - 1.15207i) q^{2} +(-1.69028 - 0.378078i) q^{3} +(-0.654545 - 1.88986i) q^{4} +(1.97542 - 1.14051i) q^{5} +(-1.82194 + 1.63723i) q^{6} +(-0.907824 + 1.57240i) q^{7} +(-2.71411 - 0.795980i) q^{8} +(2.71411 + 1.27812i) q^{9} +(0.306290 - 3.21128i) q^{10} +(4.24153 + 2.44885i) q^{11} +(0.391851 + 3.44187i) q^{12} +(-4.00895 + 2.31457i) q^{13} +(1.06692 + 2.33556i) q^{14} +(-3.77023 + 1.18092i) q^{15} +(-3.14314 + 2.47400i) q^{16} +1.92788 q^{17} +(3.69860 - 2.07855i) q^{18} -2.12907i q^{19} +(-3.44841 - 2.98676i) q^{20} +(2.12897 - 2.31457i) q^{21} +(6.30015 - 2.87801i) q^{22} +(-1.15765 - 2.00511i) q^{23} +(4.28668 + 2.37158i) q^{24} +(0.101535 - 0.175863i) q^{25} +(-0.621589 + 6.51702i) q^{26} +(-4.10439 - 3.18653i) q^{27} +(3.56582 + 0.686457i) q^{28} +(-3.16440 - 1.82697i) q^{29} +(-1.73183 + 5.31217i) q^{30} +(-2.65800 - 4.60379i) q^{31} +(0.272218 + 5.65030i) q^{32} +(-6.24353 - 5.74287i) q^{33} +(1.58125 - 2.22106i) q^{34} +4.14154i q^{35} +(0.638954 - 5.96588i) q^{36} +7.98438i q^{37} +(-2.45284 - 1.74626i) q^{38} +(7.65135 - 2.39658i) q^{39} +(-6.26935 + 1.52308i) q^{40} +(-2.36240 - 4.09180i) q^{41} +(-0.920373 - 4.35114i) q^{42} +(2.20800 + 1.27479i) q^{43} +(1.85171 - 9.61877i) q^{44} +(6.81924 - 0.570655i) q^{45} +(-3.25953 - 0.310892i) q^{46} +(-2.02005 + 3.49884i) q^{47} +(6.24816 - 2.99340i) q^{48} +(1.85171 + 3.20726i) q^{49} +(-0.119328 - 0.261218i) q^{50} +(-3.25866 - 0.728888i) q^{51} +(6.99825 + 6.06137i) q^{52} -8.95958i q^{53} +(-7.03753 + 2.11497i) q^{54} +11.1718 q^{55} +(3.71554 - 3.54506i) q^{56} +(-0.804954 + 3.59873i) q^{57} +(-4.70024 + 2.14714i) q^{58} +(-3.05255 + 1.76239i) q^{59} +(4.69956 + 6.35224i) q^{60} +(-1.71675 - 0.991165i) q^{61} +(-7.48399 - 0.713818i) q^{62} +(-4.47365 + 3.10736i) q^{63} +(6.73283 + 4.32076i) q^{64} +(-5.27959 + 9.14451i) q^{65} +(-11.7371 + 2.48270i) q^{66} +(7.72723 - 4.46132i) q^{67} +(-1.26188 - 3.64342i) q^{68} +(1.19867 + 3.82688i) q^{69} +(4.77135 + 3.39689i) q^{70} +13.3561 q^{71} +(-6.34906 - 5.62934i) q^{72} -11.5592 q^{73} +(9.19859 + 6.54879i) q^{74} +(-0.238112 + 0.258870i) q^{75} +(-4.02364 + 1.39357i) q^{76} +(-7.70112 + 4.44625i) q^{77} +(3.51460 - 10.7806i) q^{78} +(-4.97330 + 8.61401i) q^{79} +(-3.38742 + 8.47198i) q^{80} +(5.73283 + 6.93791i) q^{81} +(-6.65170 - 0.634435i) q^{82} +(-3.12153 - 1.80221i) q^{83} +(-5.76772 - 2.50847i) q^{84} +(3.80838 - 2.19877i) q^{85} +(3.27965 - 1.49820i) q^{86} +(4.65800 + 4.28448i) q^{87} +(-9.56276 - 10.0226i) q^{88} +2.49965 q^{89} +(4.93570 - 8.32431i) q^{90} -8.40489i q^{91} +(-3.03164 + 3.50023i) q^{92} +(2.75218 + 8.78664i) q^{93} +(2.37407 + 5.19699i) q^{94} +(-2.42823 - 4.20582i) q^{95} +(1.67613 - 9.65353i) q^{96} +(6.99370 - 12.1134i) q^{97} +(5.21376 + 0.497285i) q^{98} +(8.38208 + 12.0676i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q + q^{2} - q^{4} - 7 q^{6} + 6 q^{7} - 2 q^{8} + 2 q^{9}+O(q^{10}) \) 16 * q + q^2 - q^4 - 7 * q^6 + 6 * q^7 - 2 * q^8 + 2 * q^9	\( 16 q + q^{2} - q^{4} - 7 q^{6} + 6 q^{7} - 2 q^{8} + 2 q^{9} - 16 q^{10} - 16 q^{12} + 16 q^{14} - 10 q^{15} - 9 q^{16} - 28 q^{17} + 4 q^{18} - 8 q^{20} + q^{22} - 10 q^{23} + 7 q^{24} + 2 q^{25} + 28 q^{26} + 4 q^{28} + 22 q^{30} - 10 q^{31} + 11 q^{32} + q^{34} + 27 q^{36} + 23 q^{38} + 2 q^{39} + 6 q^{40} - 8 q^{41} + 8 q^{42} + 18 q^{44} - 20 q^{46} + 6 q^{47} + 39 q^{48} + 18 q^{49} - 23 q^{50} - 8 q^{52} - 29 q^{54} - 4 q^{55} + 10 q^{56} + 10 q^{57} - 14 q^{58} + 6 q^{60} - 52 q^{62} + 2 q^{63} + 26 q^{64} - 14 q^{65} - 72 q^{66} - 39 q^{68} + 72 q^{71} - 77 q^{72} - 44 q^{73} - 38 q^{74} + 5 q^{76} + 10 q^{78} - 30 q^{79} - 96 q^{80} + 10 q^{81} + 38 q^{82} - 28 q^{84} + 7 q^{86} + 42 q^{87} + 31 q^{88} + 64 q^{89} + 64 q^{90} - 30 q^{92} - 12 q^{94} + 44 q^{95} - 26 q^{96} + 66 q^{98}+O(q^{100}) \) 16 * q + q^2 - q^4 - 7 * q^6 + 6 * q^7 - 2 * q^8 + 2 * q^9 - 16 * q^10 - 16 * q^12 + 16 * q^14 - 10 * q^15 - 9 * q^16 - 28 * q^17 + 4 * q^18 - 8 * q^20 + q^22 - 10 * q^23 + 7 * q^24 + 2 * q^25 + 28 * q^26 + 4 * q^28 + 22 * q^30 - 10 * q^31 + 11 * q^32 + q^34 + 27 * q^36 + 23 * q^38 + 2 * q^39 + 6 * q^40 - 8 * q^41 + 8 * q^42 + 18 * q^44 - 20 * q^46 + 6 * q^47 + 39 * q^48 + 18 * q^49 - 23 * q^50 - 8 * q^52 - 29 * q^54 - 4 * q^55 + 10 * q^56 + 10 * q^57 - 14 * q^58 + 6 * q^60 - 52 * q^62 + 2 * q^63 + 26 * q^64 - 14 * q^65 - 72 * q^66 - 39 * q^68 + 72 * q^71 - 77 * q^72 - 44 * q^73 - 38 * q^74 + 5 * q^76 + 10 * q^78 - 30 * q^79 - 96 * q^80 + 10 * q^81 + 38 * q^82 - 28 * q^84 + 7 * q^86 + 42 * q^87 + 31 * q^88 + 64 * q^89 + 64 * q^90 - 30 * q^92 - 12 * q^94 + 44 * q^95 - 26 * q^96 + 66 * q^98

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