LMFDB - Embedded newform 55.2.j.a.4.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [55,2,Mod(4,55)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(55, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 2]))

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

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

chi := DirichletCharacter("55.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 55 = 5 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	55.j (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.439177211117$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$4$ over $\Q(\zeta_{10})$
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} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 $ x^16 - 7x^14 + 25x^12 - 57x^10 + 194x^8 - 303x^6 + 235x^4 - 33*x^2 + 121
Coefficient ring:	$\Z[a_1, \ldots, a_{4}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			4.2
Root			$1.17360 + 0.381325i$ of defining polynomial
Character	$\chi$	$=$	55.4
Dual form			55.2.j.a.14.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.725323 + 0.998322i) q^{2} +(-0.346168 - 0.112477i) q^{3} +(0.147481 + 0.453901i) q^{4} +(0.0238439 + 2.23594i) q^{5} +(0.363371 - 0.264005i) q^{6} +(2.45903 - 0.798988i) q^{7} +(-2.90731 - 0.944641i) q^{8} +(-2.31987 - 1.68548i) q^{9} +O(q^{10})$	\(q+(-0.725323 + 0.998322i) q^{2} +(-0.346168 - 0.112477i) q^{3} +(0.147481 + 0.453901i) q^{4} +(0.0238439 + 2.23594i) q^{5} +(0.363371 - 0.264005i) q^{6} +(2.45903 - 0.798988i) q^{7} +(-2.90731 - 0.944641i) q^{8} +(-2.31987 - 1.68548i) q^{9} +(-2.24948 - 1.59798i) q^{10} +(3.12020 - 1.12443i) q^{11} -0.173714i q^{12} +(1.62187 - 2.23232i) q^{13} +(-0.985946 + 3.03443i) q^{14} +(0.243237 - 0.776692i) q^{15} +(2.27957 - 1.65620i) q^{16} +(-2.26370 - 3.11572i) q^{17} +(3.36531 - 1.09346i) q^{18} +(0.0857804 - 0.264005i) q^{19} +(-1.01138 + 0.340583i) q^{20} -0.941105 q^{21} +(-1.14061 + 3.93054i) q^{22} +8.40180i q^{23} +(0.900166 + 0.654009i) q^{24} +(-4.99886 + 0.106627i) q^{25} +(1.05219 + 3.23830i) q^{26} +(1.25532 + 1.72780i) q^{27} +(0.725323 + 0.998322i) q^{28} +(-1.02689 - 3.16043i) q^{29} +(0.598963 + 0.806182i) q^{30} +(-0.456498 - 0.331666i) q^{31} -2.63682i q^{32} +(-1.20659 + 0.0382919i) q^{33} +4.75241 q^{34} +(1.84512 + 5.47920i) q^{35} +(0.422906 - 1.30157i) q^{36} +(0.497006 - 0.161487i) q^{37} +(0.201343 + 0.277125i) q^{38} +(-0.812523 + 0.590333i) q^{39} +(2.04284 - 6.52309i) q^{40} +(-1.57966 + 4.86168i) q^{41} +(0.682605 - 0.939526i) q^{42} -2.54457i q^{43} +(0.970553 + 1.25043i) q^{44} +(3.71333 - 5.22728i) q^{45} +(-8.38769 - 6.09402i) q^{46} +(-4.68373 - 1.52184i) q^{47} +(-0.975398 + 0.316926i) q^{48} +(-0.254663 + 0.185023i) q^{49} +(3.51934 - 5.06781i) q^{50} +(0.433175 + 1.33318i) q^{51} +(1.25245 + 0.406945i) q^{52} +(5.12599 - 7.05533i) q^{53} -2.63541 q^{54} +(2.58856 + 6.94977i) q^{55} -7.90392 q^{56} +(-0.0593888 + 0.0817417i) q^{57} +(3.89995 + 1.26717i) q^{58} +(-2.31987 - 7.13983i) q^{59} +(0.388415 - 0.00414203i) q^{60} +(-11.4711 + 8.33424i) q^{61} +(0.662218 - 0.215168i) q^{62} +(-7.05132 - 2.29111i) q^{63} +(7.19153 + 5.22495i) q^{64} +(5.03000 + 3.57318i) q^{65} +(0.836937 - 1.23233i) q^{66} +3.20618i q^{67} +(1.08037 - 1.48701i) q^{68} +(0.945006 - 2.90843i) q^{69} +(-6.80831 - 2.13216i) q^{70} +(6.79655 - 4.93798i) q^{71} +(5.15239 + 7.09166i) q^{72} +(-12.3973 + 4.02812i) q^{73} +(-0.199274 + 0.613302i) q^{74} +(1.74244 + 0.525345i) q^{75} +0.132483 q^{76} +(6.77427 - 5.25802i) q^{77} -1.23934i q^{78} +(7.85090 + 5.70401i) q^{79} +(3.75753 + 5.05749i) q^{80} +(2.41812 + 7.44221i) q^{81} +(-3.70776 - 5.10330i) q^{82} +(1.93792 + 2.66732i) q^{83} +(-0.138796 - 0.427169i) q^{84} +(6.91259 - 5.13580i) q^{85} +(2.54030 + 1.84564i) q^{86} +1.20954i q^{87} +(-10.1336 + 0.321596i) q^{88} -2.48823 q^{89} +(2.52514 + 7.49856i) q^{90} +(2.20464 - 6.78519i) q^{91} +(-3.81359 + 1.23911i) q^{92} +(0.120720 + 0.166157i) q^{93} +(4.91650 - 3.57205i) q^{94} +(0.592344 + 0.185505i) q^{95} +(-0.296581 + 0.912781i) q^{96} +(-6.40771 + 8.81946i) q^{97} -0.388437i q^{98} +(-9.13367 - 2.65051i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9}+O(q^{10}) $ 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9	$ 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9} - 6 q^{11} - 12 q^{14} - 16 q^{15} + 16 q^{16} + 6 q^{19} - 8 q^{20} + 8 q^{21} + 6 q^{24} - 16 q^{25} + 40 q^{26} + 2 q^{29} + 26 q^{30} + 8 q^{31} - 16 q^{34} + 22 q^{35} + 10 q^{36} + 30 q^{39} + 12 q^{40} - 52 q^{41} + 4 q^{44} + 12 q^{45} - 62 q^{46} - 10 q^{49} + 28 q^{50} - 42 q^{51} - 40 q^{54} - 8 q^{55} - 20 q^{56} + 2 q^{59} - 32 q^{60} - 40 q^{61} - 8 q^{64} - 40 q^{65} + 58 q^{66} + 26 q^{69} - 34 q^{70} + 36 q^{71} + 48 q^{74} - 20 q^{75} + 56 q^{76} + 38 q^{79} + 34 q^{80} + 68 q^{81} + 12 q^{84} + 58 q^{85} + 22 q^{86} + 24 q^{89} + 78 q^{90} - 20 q^{91} + 14 q^{94} + 48 q^{95} - 86 q^{96} - 72 q^{99}+O(q^{100}) $ 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9 - 6 * q^11 - 12 * q^14 - 16 * q^15 + 16 * q^16 + 6 * q^19 - 8 * q^20 + 8 * q^21 + 6 * q^24 - 16 * q^25 + 40 * q^26 + 2 * q^29 + 26 * q^30 + 8 * q^31 - 16 * q^34 + 22 * q^35 + 10 * q^36 + 30 * q^39 + 12 * q^40 - 52 * q^41 + 4 * q^44 + 12 * q^45 - 62 * q^46 - 10 * q^49 + 28 * q^50 - 42 * q^51 - 40 * q^54 - 8 * q^55 - 20 * q^56 + 2 * q^59 - 32 * q^60 - 40 * q^61 - 8 * q^64 - 40 * q^65 + 58 * q^66 + 26 * q^69 - 34 * q^70 + 36 * q^71 + 48 * q^74 - 20 * q^75 + 56 * q^76 + 38 * q^79 + 34 * q^80 + 68 * q^81 + 12 * q^84 + 58 * q^85 + 22 * q^86 + 24 * q^89 + 78 * q^90 - 20 * q^91 + 14 * q^94 + 48 * q^95 - 86 * q^96 - 72 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/55\mathbb{Z}\right)^\times$.

$n$	$12$	$46$
$\chi(n)$	$-1$	$e\left(\frac{1}{5}\right)$

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 $

$2$	−0.725323	+	0.998322i	−0.512881	+	0.705920i	−0.984402	−	0.175935i	$-0.943705\pi$
$2$	−0.725323	+	0.998322i	−0.512881	+	0.705920i	0.471521	+	0.881855i	$0.343705\pi$
$3$	−0.346168	−	0.112477i	−0.199860	−	0.0649385i	0.207376	−	0.978261i	$-0.433508\pi$
$3$	−0.346168	−	0.112477i	−0.199860	−	0.0649385i	−0.407236	+	0.913323i	$0.633508\pi$
$4$	0.147481	+	0.453901i	0.0737407	+	0.226951i
$5$	0.0238439	+	2.23594i	0.0106633	+	0.999943i
$5$	0.0238439	+	2.23594i	0.0106633	+	0.999943i
$6$	0.363371	−	0.264005i	0.148346	−	0.107780i
$7$	2.45903	−	0.798988i	0.929427	−	0.301989i	0.195099	−	0.980784i	$-0.437497\pi$
$7$	2.45903	−	0.798988i	0.929427	−	0.301989i	0.734328	+	0.678795i	$0.237497\pi$
$8$	−2.90731	−	0.944641i	−1.02789	−	0.333981i
$9$	−2.31987	−	1.68548i	−0.773290	−	0.561828i
$10$	−2.24948	−	1.59798i	−0.711349	−	0.505324i
$11$	3.12020	−	1.12443i	0.940776	−	0.339029i
$11$	3.12020	−	1.12443i	0.940776	−	0.339029i
$12$		−	0.173714i		−	0.0501470i
$13$	1.62187	−	2.23232i	0.449826	−	0.619133i	−0.522534	−	0.852619i	$-0.675013\pi$
$13$	1.62187	−	2.23232i	0.449826	−	0.619133i	0.972360	+	0.233486i	$0.0750132\pi$
$14$	−0.985946	+	3.03443i	−0.263505	+	0.810985i
$15$	0.243237	−	0.776692i	0.0628036	−	0.200541i
$16$	2.27957	−	1.65620i	0.569892	−	0.414051i
$17$	−2.26370	−	3.11572i	−0.549028	−	0.755673i	0.440852	−	0.897580i	$-0.354677\pi$
$17$	−2.26370	−	3.11572i	−0.549028	−	0.755673i	−0.989880	+	0.141907i	$0.954677\pi$
$18$	3.36531	−	1.09346i	0.793211	−	0.257730i
$19$	0.0857804	−	0.264005i	0.0196794	−	0.0605669i	−0.940735	−	0.339144i	$-0.889863\pi$
$19$	0.0857804	−	0.264005i	0.0196794	−	0.0605669i	0.960414	+	0.278577i	$0.0898627\pi$
$20$	−1.01138	+	0.340583i	−0.226151	+	0.0761566i
$21$	−0.941105			−0.205366
$22$	−1.14061	+	3.93054i	−0.243179	+	0.837994i
$23$			8.40180i			1.75190i	0.482406	+	0.875948i	$0.339763\pi$
$23$			8.40180i			1.75190i	−0.482406	+	0.875948i	$0.660237\pi$
$24$	0.900166	+	0.654009i	0.183746	+	0.133499i
$25$	−4.99886	+	0.106627i	−0.999773	+	0.0213255i
$26$	1.05219	+	3.23830i	0.206351	+	0.635083i
$27$	1.25532	+	1.72780i	0.241586	+	0.332514i
$28$	0.725323	+	0.998322i	0.137073	+	0.188665i
$29$	−1.02689	−	3.16043i	−0.190688	−	0.586877i	0.809312	−	0.587379i	$-0.199840\pi$
$29$	−1.02689	−	3.16043i	−0.190688	−	0.586877i	−1.00000		0.000502126i	$0.999840\pi$
$30$	0.598963	+	0.806182i	0.109355	+	0.147188i
$31$	−0.456498	−	0.331666i	−0.0819895	−	0.0595689i	0.546035	−	0.837762i	$-0.316136\pi$
$31$	−0.456498	−	0.331666i	−0.0819895	−	0.0595689i	−0.628025	+	0.778193i	$0.716136\pi$
$32$		−	2.63682i		−	0.466128i
$33$	−1.20659	+	0.0382919i	−0.210040	+	0.00666576i
$34$	4.75241			0.815031
$35$	1.84512	+	5.47920i	0.311883	+	0.926154i
$36$	0.422906	−	1.30157i	0.0704843	−	0.216928i
$37$	0.497006	−	0.161487i	0.0817073	−	0.0265483i	−0.267878	−	0.963453i	$-0.586322\pi$
$37$	0.497006	−	0.161487i	0.0817073	−	0.0265483i	0.349585	+	0.936905i	$0.386322\pi$
$38$	0.201343	+	0.277125i	0.0326622	+	0.0449556i
$39$	−0.812523	+	0.590333i	−0.130108	+	0.0945289i
$40$	2.04284	−	6.52309i	0.323001	−	1.03139i
$41$	−1.57966	+	4.86168i	−0.246701	+	0.759267i	0.748651	+	0.662964i	$0.230702\pi$
$41$	−1.57966	+	4.86168i	−0.246701	+	0.759267i	−0.995352	+	0.0963031i	$0.969298\pi$
$42$	0.682605	−	0.939526i	0.105328	−	0.144972i
$43$		−	2.54457i		−	0.388043i	−0.980997	−	0.194022i	$-0.937847\pi$
$43$		−	2.54457i		−	0.388043i	0.980997	−	0.194022i	$-0.0621532\pi$
$44$	0.970553	+	1.25043i	0.146316	+	0.188509i
$45$	3.71333	−	5.22728i	0.553550	−	0.779237i
$46$	−8.38769	−	6.09402i	−1.23670	−	0.898514i
$47$	−4.68373	−	1.52184i	−0.683193	−	0.221983i	−0.0532000	−	0.998584i	$-0.516942\pi$
$47$	−4.68373	−	1.52184i	−0.683193	−	0.221983i	−0.629993	+	0.776601i	$0.716942\pi$
$48$	−0.975398	+	0.316926i	−0.140787	+	0.0457443i
$49$	−0.254663	+	0.185023i	−0.0363804	+	0.0264319i
$50$	3.51934	−	5.06781i	0.497710	−	0.716697i
$51$	0.433175	+	1.33318i	0.0606566	+	0.186682i
$52$	1.25245	+	0.406945i	0.173683	+	0.0564331i
$53$	5.12599	−	7.05533i	0.704109	−	0.969123i	−0.295794	−	0.955252i	$-0.595584\pi$
$53$	5.12599	−	7.05533i	0.704109	−	0.969123i	0.999904	−	0.0138718i	$-0.00441567\pi$
$54$	−2.63541			−0.358633
$55$	2.58856	+	6.94977i	0.349041	+	0.937107i
$56$	−7.90392			−1.05621
$57$	−0.0593888	+	0.0817417i	−0.00786624	+	0.0108269i
$58$	3.89995	+	1.26717i	0.512088	+	0.166388i
$59$	−2.31987	−	7.13983i	−0.302021	−	0.929526i	−0.980772	−	0.195157i	$-0.937478\pi$
$59$	−2.31987	−	7.13983i	−0.302021	−	0.929526i	0.678751	−	0.734369i	$-0.262522\pi$
$60$	0.388415	−	0.00414203i	0.0501441	−	0.000534734i
$61$	−11.4711	+	8.33424i	−1.46872	+	1.06709i	−0.487743	+	0.872987i	$0.662180\pi$
$61$	−11.4711	+	8.33424i	−1.46872	+	1.06709i	−0.980981	+	0.194103i	$0.937820\pi$
$62$	0.662218	−	0.215168i	0.0841017	−	0.0273263i
$63$	−7.05132	−	2.29111i	−0.888382	−	0.288653i
$64$	7.19153	+	5.22495i	0.898942	+	0.653119i
$65$	5.03000	+	3.57318i	0.623894	+	0.443199i
$66$	0.836937	−	1.23233i	0.103020	−	0.151690i
$67$			3.20618i			0.391698i	0.980634	+	0.195849i	$0.0627462\pi$
$67$			3.20618i			0.391698i	−0.980634	+	0.195849i	$0.937254\pi$
$68$	1.08037	−	1.48701i	0.131015	−	0.180326i
$69$	0.945006	−	2.90843i	0.113765	−	0.350134i
$70$	−6.80831	−	2.13216i	−0.813749	−	0.254842i
$71$	6.79655	−	4.93798i	0.806602	−	0.586030i	−0.106242	−	0.994340i	$-0.533882\pi$
$71$	6.79655	−	4.93798i	0.806602	−	0.586030i	0.912843	+	0.408310i	$0.133882\pi$
$72$	5.15239	+	7.09166i	0.607216	+	0.835761i
$73$	−12.3973	+	4.02812i	−1.45099	+	0.471455i	−0.925305	−	0.379224i	$-0.876191\pi$
$73$	−12.3973	+	4.02812i	−1.45099	+	0.471455i	−0.525685	+	0.850679i	$0.676191\pi$
$74$	−0.199274	+	0.613302i	−0.0231651	+	0.0712949i
$75$	1.74244	+	0.525345i	0.201199	+	0.0606616i
$76$	0.132483			0.0151969
$77$	6.77427	−	5.25802i	0.771999	−	0.599206i
$78$		−	1.23934i		−	0.140328i
$79$	7.85090	+	5.70401i	0.883295	+	0.641752i	0.934121	−	0.356956i	$-0.116185\pi$
$79$	7.85090	+	5.70401i	0.883295	+	0.641752i	−0.0508259	+	0.998708i	$0.516185\pi$
$80$	3.75753	+	5.05749i	0.420104	+	0.565445i
$81$	2.41812	+	7.44221i	0.268680	+	0.826912i
$82$	−3.70776	−	5.10330i	−0.409454	−	0.563565i
$83$	1.93792	+	2.66732i	0.212715	+	0.292776i	0.902020	−	0.431694i	$-0.142084\pi$
$83$	1.93792	+	2.66732i	0.212715	+	0.292776i	−0.689305	+	0.724471i	$0.742084\pi$
$84$	−0.138796	−	0.427169i	−0.0151438	−	0.0466079i
$85$	6.91259	−	5.13580i	0.749775	−	0.557055i
$86$	2.54030	+	1.84564i	0.273928	+	0.199020i
$87$			1.20954i			0.129676i
$88$	−10.1336	+	0.321596i	−1.08024	+	0.0342823i
$89$	−2.48823			−0.263752			−0.131876	−	0.991266i	$-0.542100\pi$
$89$	−2.48823			−0.263752			−0.131876	+	0.991266i	$0.542100\pi$
$90$	2.52514	+	7.49856i	0.266174	+	0.790418i
$91$	2.20464	−	6.78519i	0.231109	−	0.711281i
$92$	−3.81359	+	1.23911i	−0.397594	+	0.129186i
$93$	0.120720	+	0.166157i	0.0125181	+	0.0172297i
$94$	4.91650	−	3.57205i	0.507099	−	0.368429i
$95$	0.592344	+	0.185505i	0.0607733	+	0.0190324i
$96$	−0.296581	+	0.912781i	−0.0302696	+	0.0931604i
$97$	−6.40771	+	8.81946i	−0.650605	+	0.895480i	−0.999125	−	0.0418208i	$-0.986684\pi$
$97$	−6.40771	+	8.81946i	−0.650605	+	0.895480i	0.348521	+	0.937301i	$0.386684\pi$
$98$		−	0.388437i		−	0.0392380i
$99$	−9.13367	−	2.65051i	−0.917969	−	0.266387i
$100$	−0.785638	−	2.25326i	−0.0785638	−	0.225326i
$101$	−11.1954	−	8.13391i	−1.11398	−	0.809355i	−0.130695	−	0.991423i	$-0.541721\pi$
$101$	−11.1954	−	8.13391i	−1.11398	−	0.809355i	−0.983286	+	0.182068i	$0.941721\pi$
$102$	−1.64513	−	0.534535i	−0.162892	−	0.0529269i
$103$	12.7346	−	4.13771i	1.25477	−	0.407700i	0.395144	−	0.918619i	$-0.370695\pi$
$103$	12.7346	−	4.13771i	1.25477	−	0.407700i	0.859629	+	0.510919i	$0.170695\pi$
$104$	−6.82402	+	4.95794i	−0.669150	+	0.486166i
$105$	−0.0224397	−	2.10426i	−0.00218989	−	0.205354i
$106$	3.32548	+	10.2348i	0.322999	+	0.994090i
$107$	9.75728	+	3.17033i	0.943272	+	0.306488i	0.739979	−	0.672630i	$-0.234836\pi$
$107$	9.75728	+	3.17033i	0.943272	+	0.306488i	0.203293	+	0.979118i	$0.434836\pi$
$108$	−0.599112	+	0.824608i	−0.0576496	+	0.0793479i
$109$	4.94262			0.473417			0.236708	−	0.971581i	$-0.423931\pi$
$109$	4.94262			0.473417			0.236708	+	0.971581i	$0.423931\pi$
$110$	−8.81565	−	2.45662i	−0.840540	−	0.234229i
$111$	−0.190211			−0.0180540
$112$	4.28225	−	5.89401i	0.404634	−	0.556931i
$113$	9.43836	+	3.06671i	0.887886	+	0.288492i	0.717228	−	0.696839i	$-0.245411\pi$
$113$	9.43836	+	3.06671i	0.887886	+	0.288492i	0.170658	+	0.985330i	$0.445411\pi$
$114$	−0.0385284	−	0.118578i	−0.00360852	−	0.0111059i
$115$	−18.7859	+	0.200332i	−1.75180	+	0.0186810i
$116$	1.28308	−	0.932209i	0.119131	−	0.0865534i
$117$	−7.52506	+	2.44504i	−0.695692	+	0.226044i
$118$	8.81050	+	2.86270i	0.811072	+	0.263533i
$119$	−8.05594	−	5.85298i	−0.738487	−	0.536542i
$120$	−1.44086	+	2.02831i	−0.131532	+	0.185159i
$121$	8.47131	−	7.01690i	0.770119	−	0.637900i
$122$		−	17.4969i		−	1.58409i
$123$	1.09365	−	1.50528i	0.0986113	−	0.135727i
$124$	0.0832183	−	0.256120i	0.00747323	−	0.0230002i
$125$	−0.357605	−	11.1746i	−0.0319852	−	0.999488i
$126$	7.40175	−	5.37769i	0.659400	−	0.479082i
$127$	−6.54543	−	9.00901i	−0.580813	−	0.799420i	0.412972	−	0.910744i	$-0.364491\pi$
$127$	−6.54543	−	9.00901i	−0.580813	−	0.799420i	−0.993784	+	0.111324i	$0.964491\pi$
$128$	−5.41684	+	1.76004i	−0.478786	+	0.155567i
$129$	−0.286205	+	0.880848i	−0.0251989	+	0.0775544i
$130$	−7.21556	+	2.42984i	−0.632846	+	0.213111i
$131$	10.1649			0.888114			0.444057	−	0.895999i	$-0.353539\pi$
$131$	10.1649			0.888114			0.444057	+	0.895999i	$0.353539\pi$
$132$	−0.195330	−	0.542023i	−0.0170013	−	0.0471771i
$133$		−	0.717734i		−	0.0622354i
$134$	−3.20080	−	2.32552i	−0.276507	−	0.200894i
$135$	−3.83332	+	2.84801i	−0.329919	+	0.245118i
$136$	3.63804	+	11.1967i	0.311959	+	0.960112i
$137$	2.55455	+	3.51604i	0.218250	+	0.300395i	0.904077	−	0.427369i	$-0.140559\pi$
$137$	2.55455	+	3.51604i	0.218250	+	0.300395i	−0.685827	+	0.727764i	$0.740559\pi$
$138$	2.21811	+	3.05297i	0.188818	+	0.259886i
$139$	2.56560	+	7.89611i	0.217612	+	0.669739i	0.998958	+	0.0456418i	$0.0145333\pi$
$139$	2.56560	+	7.89611i	0.217612	+	0.669739i	−0.781346	+	0.624098i	$0.785467\pi$
$140$	−2.21489	+	1.64558i	−0.187193	+	0.139077i
$141$	1.45019	+	1.05362i	0.122128	+	0.0887310i
$142$			10.3668i			0.869960i
$143$	2.55048	−	8.78896i	0.213282	−	0.734969i
$144$	−8.07981			−0.673318
$145$	7.04205	−	2.37141i	0.584810	−	0.196935i
$146$	4.97067	−	15.2981i	0.411375	−	1.26608i
$147$	0.108967	−	0.0354054i	0.00898743	−	0.00292019i
$148$	0.146598	+	0.201775i	0.0120503	+	0.0165858i
$149$	6.84987	−	4.97672i	0.561163	−	0.407709i	−0.270721	−	0.962658i	$-0.587262\pi$
$149$	6.84987	−	4.97672i	0.561163	−	0.407709i	0.831884	+	0.554949i	$0.187262\pi$
$150$	−1.78829	+	1.35847i	−0.146014	+	0.110919i
$151$	3.43080	−	10.5589i	0.279195	−	0.859273i	−0.708884	−	0.705325i	$-0.750801\pi$
$151$	3.43080	−	10.5589i	0.279195	−	0.859273i	0.988079	−	0.153948i	$-0.0491988\pi$
$152$	−0.498780	+	0.686511i	−0.0404564	+	0.0556834i
$153$			11.0435i			0.892814i
$154$	0.335658	+	10.5767i	0.0270481	+	0.852291i
$155$	0.730700	−	1.02861i	0.0586912	−	0.0826201i
$156$	−0.387785	−	0.281742i	−0.0310476	−	0.0225574i
$157$	13.0925	+	4.25400i	1.04489	+	0.339506i	0.780662	−	0.624953i	$-0.214882\pi$
$157$	13.0925	+	4.25400i	1.04489	+	0.339506i	0.264231	+	0.964459i	$0.414882\pi$
$158$	−11.3889	+	3.70047i	−0.906051	+	0.294394i
$159$	−2.56801	+	1.86577i	−0.203657	+	0.147965i
$160$	5.89577	−	0.0628721i	0.466102	−	0.00497048i
$161$	6.71293	+	20.6603i	0.529053	+	1.62826i
$162$	−9.18364	−	2.98395i	−0.721535	−	0.234441i
$163$	−5.25535	+	7.23337i	−0.411631	+	0.566561i	−0.963615	−	0.267293i	$-0.913871\pi$
$163$	−5.25535	+	7.23337i	−0.411631	+	0.566561i	0.551985	+	0.833854i	$0.313871\pi$
$164$	−2.43969			−0.190508
$165$	−0.114388	−	2.69694i	−0.00890511	−	0.209957i
$166$	−4.06846			−0.315774
$167$	−9.94425	+	13.6871i	−0.769509	+	1.05914i	0.226854	+	0.973929i	$0.427156\pi$
$167$	−9.94425	+	13.6871i	−0.769509	+	1.05914i	−0.996363	+	0.0852095i	$0.972844\pi$
$168$	2.73608	+	0.889007i	0.211093	+	0.0685883i
$169$	1.66446	+	5.12268i	0.128035	+	0.394052i
$170$	0.113316	+	10.6261i	0.00869095	+	0.814984i
$171$	−0.643975	+	0.467875i	−0.0492460	+	0.0357793i
$172$	1.15498	−	0.375277i	0.0880667	−	0.0286146i
$173$	−3.21447	−	1.04445i	−0.244392	−	0.0794077i	0.184260	−	0.982878i	$-0.441011\pi$
$173$	−3.21447	−	1.04445i	−0.244392	−	0.0794077i	−0.428652	+	0.903470i	$0.641011\pi$
$174$	−1.20751	−	0.877307i	−0.0915410	−	0.0665085i
$175$	−12.2072	+	4.25623i	−0.922775	+	0.321741i
$176$	5.25043	−	7.73091i	0.395766	−	0.582739i
$177$			2.73251i			0.205388i
$178$	1.80477	−	2.48405i	0.135273	−	0.186188i
$179$	−4.27183	+	13.1473i	−0.319291	+	0.982678i	0.654660	+	0.755923i	$0.272812\pi$
$179$	−4.27183	+	13.1473i	−0.319291	+	0.982678i	−0.973952	+	0.226755i	$0.927188\pi$
$180$	2.92032	+	0.914557i	0.217668	+	0.0681671i
$181$	2.10264	−	1.52766i	0.156288	−	0.113550i	−0.506893	−	0.862009i	$-0.669206\pi$
$181$	2.10264	−	1.52766i	0.156288	−	0.113550i	0.663181	+	0.748459i	$0.269206\pi$
$182$	5.17473	+	7.12240i	0.383576	+	0.527947i
$183$	4.90833	−	1.59481i	0.362834	−	0.117892i
$184$	7.93668	−	24.4266i	0.585100	−	1.80075i
$185$	0.372926	+	1.10743i	0.0274181	+	0.0814195i
$186$	−0.253440			−0.0185831
$187$	−10.5666	−	7.17629i	−0.772708	−	0.524782i
$188$		−	2.35039i		−	0.171420i
$189$	4.46735	+	3.24572i	0.324952	+	0.236091i
$190$	−0.614835	+	0.456799i	−0.0446048	+	0.0331397i
$191$	0.685498	+	2.10975i	0.0496009	+	0.152656i	0.972789	−	0.231692i	$-0.0744262\pi$
$191$	0.685498	+	2.10975i	0.0496009	+	0.152656i	−0.923188	+	0.384348i	$0.874426\pi$
$192$	−1.90179	−	2.61759i	−0.137250	−	0.188908i
$193$	−6.15791	−	8.47564i	−0.443256	−	0.610090i	0.527676	−	0.849446i	$-0.323064\pi$
$193$	−6.15791	−	8.47564i	−0.443256	−	0.610090i	−0.970932	+	0.239356i	$0.923064\pi$
$194$	−4.15700	−	12.7939i	−0.298455	−	0.918550i
$195$	−1.33932	−	1.80268i	−0.0959109	−	0.129092i
$196$	−0.121540	−	0.0883042i	−0.00868145	−	0.00630744i
$197$		−	1.32667i		−	0.0945210i	−0.998883	−	0.0472605i	$-0.984951\pi$
$197$		−	1.32667i		−	0.0945210i	0.998883	−	0.0472605i	$-0.0150491\pi$
$198$	9.27093	−	7.19586i	0.658856	−	0.511388i
$199$	5.20321			0.368846			0.184423	−	0.982847i	$-0.440958\pi$
$199$	5.20321			0.368846			0.184423	+	0.982847i	$0.440958\pi$
$200$	14.6340	+	4.41213i	1.03478	+	0.311985i
$201$	0.360621	−	1.10988i	0.0254362	−	0.0782847i
$202$	16.2405	−	5.27687i	1.14268	−	0.371279i
$203$	−5.05029	−	6.95113i	−0.354461	−	0.487873i
$204$	−0.541245	+	0.393237i	−0.0378947	+	0.0275321i
$205$	−10.9081	−	3.41610i	−0.761855	−	0.238591i
$206$	−5.10590	+	15.7144i	−0.355745	+	1.09487i
$207$	14.1611	−	19.4911i	0.984264	−	1.35472i
$208$		−	7.77487i		−	0.539090i
$209$	−0.0292033	−	0.920202i	−0.00202004	−	0.0636517i
$210$	2.11700	+	1.50386i	0.146087	+	0.103776i
$211$	−15.3038	−	11.1189i	−1.05356	−	0.765454i	−0.0806716	−	0.996741i	$-0.525706\pi$
$211$	−15.3038	−	11.1189i	−1.05356	−	0.765454i	−0.972886	+	0.231287i	$0.925706\pi$
$212$	3.95841	+	1.28617i	0.271865	+	0.0883342i
$213$	−2.90815	+	0.944916i	−0.199263	+	0.0647446i
$214$	−10.2422	+	7.44139i	−0.700142	+	0.508683i
$215$	5.68951	−	0.0606726i	0.388021	−	0.00413784i
$216$	−2.01744	−	6.20905i	−0.137270	−	0.422473i
$217$	−1.38754	−	0.450839i	−0.0941924	−	0.0306050i
$218$	−3.58499	+	4.93432i	−0.242806	+	0.334194i
$219$	4.74460			0.320611
$220$	−2.77275	+	2.19991i	−0.186939	+	0.148318i
$221$	−10.6267			−0.714829
$222$	0.137964	−	0.189892i	0.00925956	−	0.0127447i
$223$	−20.8018	−	6.75890i	−1.39299	−	0.452610i	−0.486072	−	0.873919i	$-0.661571\pi$
$223$	−20.8018	−	6.75890i	−1.39299	−	0.452610i	−0.906917	+	0.421309i	$0.861571\pi$
$224$	−2.10679	−	6.48402i	−0.140766	−	0.433232i
$225$	11.7764	+	8.17814i	0.785095	+	0.545210i
$226$	−9.90742	+	7.19816i	−0.659032	+	0.478815i
$227$	2.31929	−	0.753584i	0.153937	−	0.0500171i	−0.231035	−	0.972945i	$-0.574211\pi$
$227$	2.31929	−	0.753584i	0.153937	−	0.0500171i	0.384972	+	0.922928i	$0.374211\pi$
$228$	−0.0458614	−	0.0149013i	−0.00303724	−	0.000986860i
$229$	5.90678	+	4.29153i	0.390331	+	0.283592i	0.765591	−	0.643327i	$-0.222447\pi$
$229$	5.90678	+	4.29153i	0.390331	+	0.283592i	−0.375260	+	0.926920i	$0.622447\pi$
$230$	13.4259	−	18.8997i	0.885275	−	1.24621i
$231$	−2.93644	+	1.05821i	−0.193203	+	0.0696250i
$232$			10.1584i			0.666930i
$233$	−2.62053	+	3.60685i	−0.171676	+	0.236292i	−0.886182	−	0.463338i	$-0.846652\pi$
$233$	−2.62053	+	3.60685i	−0.171676	+	0.236292i	0.714505	+	0.699630i	$0.246652\pi$
$234$	3.01717	−	9.28588i	0.197238	−	0.607037i
$235$	3.29106	−	10.5088i	0.214685	−	0.685521i
$236$	2.89864	−	2.10598i	0.188685	−	0.137088i
$237$	−2.07616	−	2.85759i	−0.134861	−	0.185620i
$238$	11.6863	−	3.79711i	0.757511	−	0.246130i
$239$	−7.47040	+	22.9915i	−0.483220	+	1.48720i	0.351322	+	0.936255i	$0.385732\pi$
$239$	−7.47040	+	22.9915i	−0.483220	+	1.48720i	−0.834542	+	0.550944i	$0.814268\pi$
$240$	−0.731885	−	2.17338i	−0.0472430	−	0.140291i
$241$	−12.0393			−0.775522			−0.387761	−	0.921760i	$-0.626751\pi$
$241$	−12.0393			−0.775522			−0.387761	+	0.921760i	$0.626751\pi$
$242$	0.860691	+	13.5466i	0.0553273	+	0.870809i
$243$		−	9.25525i		−	0.593725i
$244$	−5.47470	−	3.97760i	−0.350482	−	0.254640i
$245$	−0.419773	−	0.564999i	−0.0268183	−	0.0360964i
$246$	0.709506	+	2.18363i	0.0452364	+	0.139223i
$247$	−0.450217	−	0.619671i	−0.0286466	−	0.0394287i
$248$	1.01388	+	1.39548i	0.0643812	+	0.0886131i
$249$	−0.370835	−	1.14131i	−0.0235007	−	0.0723277i
$250$	11.4152	+	7.74821i	0.721963	+	0.490040i
$251$	0.433947	+	0.315281i	0.0273905	+	0.0199004i	0.601396	−	0.798951i	$-0.294611\pi$
$251$	0.433947	+	0.315281i	0.0273905	+	0.0199004i	−0.574006	+	0.818851i	$0.694611\pi$
$252$		−	3.53850i		−	0.222904i
$253$	9.44724	+	26.2153i	0.593943	+	1.64814i
$254$	13.7414			0.862214
$255$	−2.97057	+	1.00034i	−0.186024	+	0.0626438i
$256$	−3.32196	+	10.2240i	−0.207623	+	0.638997i
$257$	−22.5590	+	7.32987i	−1.40719	+	0.457224i	−0.911509	−	0.411279i	$-0.865082\pi$
$257$	−22.5590	+	7.32987i	−1.40719	+	0.457224i	−0.495683	+	0.868504i	$0.665082\pi$
$258$	−0.671779	−	0.924624i	−0.0418231	−	0.0575646i
$259$	1.09313	−	0.794203i	0.0679236	−	0.0493494i
$260$	−0.880041	+	2.81010i	−0.0545778	+	0.174275i
$261$	−2.94461	+	9.06258i	−0.182267	+	0.560960i
$262$	−7.37286	+	10.1479i	−0.455497	+	0.626937i
$263$			4.97643i			0.306860i	0.988160	+	0.153430i	$0.0490320\pi$
$263$			4.97643i			0.306860i	−0.988160	+	0.153430i	$0.950968\pi$
$264$	3.54409	+	1.02846i	0.218123	+	0.0632976i
$265$	15.8975	+	11.2932i	0.976576	+	0.693735i
$266$	0.716529	+	0.520589i	0.0439332	+	0.0319194i
$267$	0.861345	+	0.279868i	0.0527134	+	0.0171276i
$268$	−1.45529	+	0.472852i	−0.0888960	+	0.0288841i
$269$	23.3034	−	16.9309i	1.42083	−	1.03230i	0.429201	−	0.903209i	$-0.358795\pi$
$269$	23.3034	−	16.9309i	1.42083	−	1.03230i	0.991633	−	0.129087i	$-0.0412047\pi$
$270$	−0.0628385	−	5.89261i	−0.00382423	−	0.358613i
$271$	−4.96782	−	15.2894i	−0.301773	−	0.928763i	−0.980862	−	0.194706i	$-0.937625\pi$
$271$	−4.96782	−	15.2894i	−0.301773	−	0.928763i	0.679088	−	0.734057i	$-0.262375\pi$
$272$	−10.3205	−	3.35334i	−0.625774	−	0.203326i
$273$	−1.52635	+	2.10084i	−0.0923790	+	0.127149i
$274$	−5.36301			−0.323992
$275$	−15.4776	+	5.95358i	−0.933332	+	0.359014i
$276$	1.45951			0.0878522
$277$	10.5824	−	14.5654i	0.635832	−	0.875148i	−0.362552	−	0.931963i	$-0.618095\pi$
$277$	10.5824	−	14.5654i	0.635832	−	0.875148i	0.998385	+	0.0568151i	$0.0180946\pi$
$278$	−9.74375	−	3.16594i	−0.584391	−	0.189880i
$279$	0.500000	+	1.53884i	0.0299342	+	0.0921280i
$280$	−0.188461	−	17.6727i	−0.0112627	−	1.05615i
$281$	−11.0957	+	8.06146i	−0.661911	+	0.480907i	−0.867308	−	0.497772i	$-0.834152\pi$
$281$	−11.0957	+	8.06146i	−0.661911	+	0.480907i	0.205397	+	0.978679i	$0.434152\pi$
$282$	−2.10371	+	0.683536i	−0.125274	+	0.0407040i
$283$	19.5009	+	6.33621i	1.15921	+	0.376649i	0.824604	−	0.565711i	$-0.191398\pi$
$283$	19.5009	+	6.33621i	1.15921	+	0.376649i	0.334602	+	0.942360i	$0.391398\pi$
$284$	3.24372	+	2.35670i	0.192479	+	0.139844i
$285$	−0.184186	−	0.130841i	−0.0109102	−	0.00775034i
$286$	6.92428	+	8.92103i	0.409441	+	0.527512i
$287$			13.2172i			0.780184i
$288$	−4.44432	+	6.11708i	−0.261884	+	0.360452i
$289$	0.669933	−	2.06184i	0.0394078	−	0.121285i
$290$	−2.74033	+	8.75027i	−0.160918	+	0.513833i
$291$	3.21013	−	2.33229i	0.188181	−	0.136721i
$292$	−3.65673	−	5.03306i	−0.213994	−	0.294538i
$293$	21.3163	−	6.92608i	1.24531	−	0.404626i	0.389073	−	0.921207i	$-0.372796\pi$
$293$	21.3163	−	6.92608i	1.24531	−	0.404626i	0.856238	+	0.516581i	$0.172796\pi$
$294$	−0.0436901	+	0.134464i	−0.00254806	+	0.00784212i
$295$	15.9089	−	5.35733i	0.926253	−	0.311916i
$296$	−1.59750			−0.0928525
$297$	5.85963	+	3.97955i	0.340010	+	0.230917i
$298$			10.4481i			0.605242i
$299$	18.7555	+	13.6266i	1.08466	+	0.788049i
$300$	0.0185227	+	0.868373i	0.00106941	+	0.0501356i
$301$	−2.03308	−	6.25718i	−0.117185	−	0.360658i
$302$	8.05276	+	11.0837i	0.463384	+	0.637794i
$303$	2.96060	+	4.07492i	0.170082	+	0.234098i
$304$	−0.241704	−	0.743887i	−0.0138627	−	0.0426649i
$305$	−18.9084	−	25.4500i	−1.08269	−	1.45726i
$306$	−11.0250	−	8.01010i	−0.630255	−	0.457907i
$307$		−	20.3044i		−	1.15883i	−0.815032	−	0.579416i	$-0.803281\pi$
$307$		−	20.3044i		−	1.15883i	0.815032	−	0.579416i	$-0.196719\pi$
$308$	3.38570	+	2.29939i	0.192918	+	0.131020i
$309$	−4.87369			−0.277254
$310$	0.496892	+	1.47555i	0.0282216	+	0.0838056i
$311$	−2.70662	+	8.33012i	−0.153478	+	0.472358i	−0.998004	−	0.0631580i	$-0.979883\pi$
$311$	−2.70662	+	8.33012i	−0.153478	+	0.472358i	0.844525	+	0.535516i	$0.179883\pi$
$312$	2.91991	−	0.948735i	0.165307	−	0.0537116i
$313$	1.01759	+	1.40060i	0.0575177	+	0.0791664i	0.836807	−	0.547498i	$-0.184420\pi$
$313$	1.01759	+	1.40060i	0.0575177	+	0.0791664i	−0.779289	+	0.626664i	$0.784420\pi$
$314$	−13.7431	+	9.98497i	−0.775570	+	0.563485i
$315$	4.95466	−	15.8210i	0.279163	−	0.891410i
$316$	−1.43120	+	4.40477i	−0.0805111	+	0.247788i
$317$	10.2724	−	14.1387i	0.576954	−	0.794109i	−0.416403	−	0.909180i	$-0.636710\pi$
$317$	10.2724	−	14.1387i	0.576954	−	0.794109i	0.993357	+	0.115071i	$0.0367095\pi$
$318$		−	3.91699i		−	0.219654i
$319$	−6.75777	−	8.70651i	−0.378363	−	0.487471i
$320$	−11.5112	+	16.2044i	−0.643496	+	0.905855i
$321$	−3.02107	−	2.19493i	−0.168619	−	0.122509i
$322$	−25.4947	−	8.28372i	−1.42076	−	0.461633i
$323$	−1.01675	+	0.330361i	−0.0565733	+	0.0183818i
$324$	−3.02140	+	2.19518i	−0.167856	+	0.121954i
$325$	−7.86949	+	11.3320i	−0.436521	+	0.628585i
$326$	−3.40940	−	10.4931i	−0.188829	−	0.581157i
$327$	−1.71097	−	0.555929i	−0.0946171	−	0.0307430i
$328$	9.18509	−	12.6422i	0.507162	−	0.698048i
$329$	−12.7334			−0.702014
$330$	2.77538	+	1.84196i	0.152780	+	0.101396i
$331$	12.6193			0.693620			0.346810	−	0.937935i	$-0.387265\pi$
$331$	12.6193			0.693620			0.346810	+	0.937935i	$0.387265\pi$
$332$	−0.924893	+	1.27301i	−0.0507601	+	0.0698653i
$333$	−1.42517	−	0.463067i	−0.0780990	−	0.0253759i
$334$	−6.45132	−	19.8551i	−0.353000	−	1.08642i
$335$	−7.16883	+	0.0764480i	−0.391675	+	0.00417680i
$336$	−2.14531	+	1.55866i	−0.117036	+	0.0850320i
$337$	11.2794	−	3.66490i	0.614428	−	0.199640i	0.0147629	−	0.999891i	$-0.495301\pi$
$337$	11.2794	−	3.66490i	0.614428	−	0.199640i	0.599665	+	0.800251i	$0.295301\pi$
$338$	−6.32135	−	2.05393i	−0.343836	−	0.111719i
$339$	−2.92232	−	2.12319i	−0.158719	−	0.115316i
$340$	3.35062	+	2.38020i	0.181713	+	0.129084i
$341$	−1.79730	−	0.521562i	−0.0973294	−	0.0282442i
$342$		−	0.982255i		−	0.0531143i
$343$	−11.1167	+	15.3009i	−0.600248	+	0.826171i
$344$	−2.40371	+	7.39785i	−0.129599	+	0.398865i
$345$	6.52561	+	2.04363i	0.351327	+	0.110025i
$346$	3.37422	−	2.45152i	0.181399	−	0.131794i
$347$	13.1100	+	18.0444i	0.703781	+	0.968672i	0.999909	+	0.0135232i	$0.00430468\pi$
$347$	13.1100	+	18.0444i	0.703781	+	0.968672i	−0.296127	+	0.955148i	$0.595695\pi$
$348$	−0.549011	+	0.178385i	−0.0294301	+	0.00956242i
$349$	−4.93434	+	15.1863i	−0.264129	+	0.812906i	0.727763	+	0.685828i	$0.240560\pi$
$349$	−4.93434	+	15.1863i	−0.264129	+	0.812906i	−0.991893	+	0.127078i	$0.959440\pi$
$350$	4.60506	−	15.2738i	0.246151	−	0.816420i
$351$	5.89295			0.314542
$352$	−2.96492	−	8.22740i	−0.158031	−	0.438522i
$353$		−	24.1406i		−	1.28488i	−0.766337	−	0.642439i	$-0.777923\pi$
$353$		−	24.1406i		−	1.28488i	0.766337	−	0.642439i	$-0.222077\pi$
$354$	−2.72792	−	1.98195i	−0.144987	−	0.105340i
$355$	11.2031	+	15.0789i	0.594598	+	0.800307i
$356$	−0.366968	−	1.12941i	−0.0194492	−	0.0598586i
$357$	2.13038	+	2.93222i	0.112752	+	0.155189i
$358$	−10.0268	−	13.8007i	−0.529934	−	0.729391i
$359$	−6.29726	−	19.3810i	−0.332357	−	1.02289i	−0.968010	−	0.250913i	$-0.919269\pi$
$359$	−6.29726	−	19.3810i	−0.332357	−	1.02289i	0.635653	−	0.771975i	$-0.280731\pi$
$360$	−15.7337	+	11.6895i	−0.829238	+	0.616093i
$361$	15.3090	+	11.1226i	0.805736	+	0.585401i
$362$			3.20716i			0.168564i
$363$	−3.72173	+	1.47620i	−0.195340	+	0.0774804i
$364$	3.40495			0.178468
$365$	−9.30223	−	27.6235i	−0.486901	−	1.44588i
$366$	−1.96799	+	6.05685i	−0.102869	+	0.316597i
$367$	5.13979	−	1.67002i	0.268295	−	0.0871744i	−0.171780	−	0.985135i	$-0.554952\pi$
$367$	5.13979	−	1.67002i	0.268295	−	0.0871744i	0.440075	+	0.897961i	$0.354952\pi$
$368$	13.9151	+	19.1525i	0.725374	+	0.998392i
$369$	11.8589	−	8.61599i	0.617349	−	0.448530i
$370$	−1.37606	−	0.430941i	−0.0715379	−	0.0224036i
$371$	6.96786	−	21.4449i	0.361753	−	1.11336i
$372$	−0.0576150	+	0.0793003i	−0.00298720	+	0.00411153i
$373$		−	17.0982i		−	0.885311i	−0.896692	−	0.442656i	$-0.854036\pi$
$373$		−	17.0982i		−	0.885311i	0.896692	−	0.442656i	$-0.145964\pi$
$374$	14.8285	−	5.34375i	0.766761	−	0.276319i
$375$	−1.13309	+	3.90852i	−0.0585127	+	0.201835i
$376$	12.1795	+	8.84889i	0.628108	+	0.456347i
$377$	−8.72055	−	2.83348i	−0.449131	−	0.145932i
$378$	−6.48055	+	2.10566i	−0.333323	+	0.108303i
$379$	−6.95104	+	5.05023i	−0.357051	+	0.259413i	−0.751821	−	0.659367i	$-0.770824\pi$
$379$	−6.95104	+	5.05023i	−0.357051	+	0.259413i	0.394770	+	0.918780i	$0.370824\pi$
$380$	0.00315892	+	0.296224i	0.000162049	+	0.0151960i
$381$	1.25251	+	3.85484i	0.0641681	+	0.197489i
$382$	−2.60341	−	0.845900i	−0.133202	−	0.0432800i
$383$	−5.68364	+	7.82286i	−0.290420	+	0.399729i	−0.929151	−	0.369701i	$-0.879460\pi$
$383$	−5.68364	+	7.82286i	−0.290420	+	0.399729i	0.638730	+	0.769431i	$0.279460\pi$
$384$	2.07310			0.105792
$385$	11.9181	+	15.0215i	0.607404	+	0.765566i
$386$	12.9279			0.658012
$387$	−4.28883	+	5.90307i	−0.218014	+	0.300070i
$388$	−4.94818	−	1.60776i	−0.251206	−	0.0816217i
$389$	8.45759	+	26.0298i	0.428817	+	1.31976i	0.899292	+	0.437350i	$0.144083\pi$
$389$	8.45759	+	26.0298i	0.428817	+	1.31976i	−0.470475	+	0.882414i	$0.655917\pi$
$390$	2.77109	−	0.0295508i	0.140320	−	0.00149636i
$391$	26.1776	−	19.0192i	1.32386	−	0.961840i
$392$	0.915163	−	0.297354i	0.0462227	−	0.0150187i
$393$	−3.51877	−	1.14332i	−0.177498	−	0.0576727i
$394$	1.32444	+	0.962262i	0.0667243	+	0.0484780i
$395$	−12.5666	+	17.6902i	−0.632296	+	0.890088i
$396$	−0.143975	−	4.53669i	−0.00723503	−	0.227977i
$397$			10.6518i			0.534596i	0.963614	+	0.267298i	$0.0861308\pi$
$397$			10.6518i			0.534596i	−0.963614	+	0.267298i	$0.913869\pi$
$398$	−3.77401	+	5.19448i	−0.189174	+	0.260376i
$399$	−0.0807283	+	0.248456i	−0.00404147	+	0.0124384i
$400$	−11.2187	+	8.52220i	−0.560933	+	0.426110i
$401$	−11.0953	+	8.06124i	−0.554075	+	0.402559i	−0.829286	−	0.558825i	$-0.811252\pi$
$401$	−11.0953	+	8.06124i	−0.554075	+	0.402559i	0.275210	+	0.961384i	$0.411252\pi$
$402$	0.846448	+	1.16504i	0.0422170	+	0.0581067i
$403$	−1.48076	+	0.481129i	−0.0737621	+	0.0239668i
$404$	2.04088	−	6.28119i	0.101538	−	0.312501i
$405$	−16.5827	+	5.58423i	−0.824000	+	0.277482i
$406$	10.6026			0.526196
$407$	1.36918	−	1.06272i	0.0678676	−	0.0526771i
$408$		−	4.28514i		−	0.212146i
$409$	−18.0478	−	13.1125i	−0.892408	−	0.648372i	0.0440970	−	0.999027i	$-0.485959\pi$
$409$	−18.0478	−	13.1125i	−0.892408	−	0.648372i	−0.936505	+	0.350655i	$0.885959\pi$
$410$	11.3223	−	8.41202i	0.559167	−	0.415440i
$411$	−0.488831	−	1.50447i	−0.0241123	−	0.0742099i
$412$	3.75622	+	5.16999i	0.185056	+	0.254707i
$413$	−11.4093	−	15.7035i	−0.561413	−	0.772719i
$414$	9.18699	+	28.2747i	0.451516	+	1.38962i
$415$	−5.91776	+	4.39668i	−0.290492	+	0.215824i
$416$	−5.88621	−	4.27658i	−0.288595	−	0.209677i
$417$		−	3.02195i		−	0.147986i
$418$	0.939840	+	0.638290i	0.0459691	+	0.0312198i
$419$	0.510725			0.0249506			0.0124753	−	0.999922i	$-0.496029\pi$
$419$	0.510725			0.0249506			0.0124753	+	0.999922i	$0.496029\pi$
$420$	0.951815	−	0.320524i	0.0464438	−	0.0156400i
$421$	4.08365	−	12.5682i	0.199025	−	0.612536i	−0.800881	−	0.598824i	$-0.795635\pi$
$421$	4.08365	−	12.5682i	0.199025	−	0.612536i	0.999906	−	0.0137124i	$-0.00436492\pi$
$422$	22.2004	−	7.21335i	1.08070	−	0.351140i
$423$	8.30062	+	11.4248i	0.403590	+	0.555494i
$424$	−21.5676	+	15.6698i	−1.04741	+	0.760991i
$425$	11.6482	+	15.3337i	0.565019	+	0.743793i
$426$	1.16602	−	3.58864i	0.0564939	−	0.173870i
$427$	−21.5488	+	29.6594i	−1.04282	+	1.43532i
$428$			4.89641i			0.236677i
$429$	−1.87145	+	2.75558i	−0.0903543	+	0.133041i
$430$	−4.06616	+	5.72397i	−0.196088	+	0.276034i
$431$	23.7902	+	17.2846i	1.14594	+	0.832571i	0.987935	−	0.154868i	$-0.0494952\pi$
$431$	23.7902	+	17.2846i	1.14594	+	0.832571i	0.158000	+	0.987439i	$0.449495\pi$
$432$	5.72316	+	1.85957i	0.275356	+	0.0894685i
$433$	−9.71650	+	3.15708i	−0.466945	+	0.151720i	−0.533034	−	0.846094i	$-0.678948\pi$
$433$	−9.71650	+	3.15708i	−0.466945	+	0.151720i	0.0660883	+	0.997814i	$0.478948\pi$
$434$	1.45650	−	1.05821i	0.0699142	−	0.0507956i
$435$	−2.70446	+	0.0288402i	−0.129669	+	0.00138278i
$436$	0.728944	+	2.24346i	0.0349101	+	0.107442i
$437$	2.21811	+	0.720709i	0.106107	+	0.0344762i
$438$	−3.44137	+	4.73664i	−0.164435	+	0.226325i
$439$	1.53306			0.0731691			0.0365846	−	0.999331i	$-0.488352\pi$
$439$	1.53306			0.0731691			0.0365846	+	0.999331i	$0.488352\pi$
$440$	−0.960695	−	22.6504i	−0.0457993	−	1.07981i
$441$	0.902638			0.0429827
$442$	7.70779	−	10.6089i	0.366622	−	0.504612i
$443$	−3.22650	−	1.04835i	−0.153296	−	0.0498088i	0.231364	−	0.972867i	$-0.425681\pi$
$443$	−3.22650	−	1.04835i	−0.153296	−	0.0498088i	−0.384660	+	0.923058i	$0.625681\pi$
$444$	−0.0280526	−	0.0863370i	−0.00133132	−	0.00409737i
$445$	−0.0593292	−	5.56353i	−0.00281247	−	0.263737i
$446$	21.8356	−	15.8645i	1.03394	−	0.751204i
$447$	−2.93097	+	0.952329i	−0.138630	+	0.0450436i
$448$	21.8589	+	7.10238i	1.03274	+	0.335556i
$449$	−26.1718	−	19.0149i	−1.23512	−	0.897368i	−0.237858	−	0.971300i	$-0.576445\pi$
$449$	−26.1718	−	19.0149i	−1.23512	−	0.897368i	−0.997263	+	0.0739317i	$0.976445\pi$
$450$	−16.7061	+	5.82487i	−0.787535	+	0.274587i
$451$	0.537783	+	16.9456i	0.0253232	+	0.797939i
$452$			4.73637i			0.222780i
$453$	−2.37527	+	3.26927i	−0.111600	+	0.153604i
$454$	−0.929918	+	2.86199i	−0.0436432	+	0.134320i
$455$	15.2239	+	4.76766i	0.713705	+	0.223512i
$456$	0.249878	−	0.181547i	0.0117016	−	0.00850171i
$457$	−7.15509	−	9.84814i	−0.334701	−	0.460676i	0.608183	−	0.793797i	$-0.291899\pi$
$457$	−7.15509	−	9.84814i	−0.334701	−	0.460676i	−0.942884	+	0.333120i	$0.891899\pi$
$458$	−8.56865	+	2.78412i	−0.400387	+	0.130094i
$459$	2.54166	−	7.82243i	0.118635	−	0.365120i
$460$	−2.86151	−	8.49741i	−0.133418	−	0.396194i
$461$	−16.5699			−0.771739			−0.385869	−	0.922553i	$-0.626098\pi$
$461$	−16.5699			−0.771739			−0.385869	+	0.922553i	$0.626098\pi$
$462$	1.07343	−	3.69905i	0.0499407	−	0.172095i
$463$		−	14.6302i		−	0.679924i	−0.940439	−	0.339962i	$-0.889586\pi$
$463$		−	14.6302i		−	0.679924i	0.940439	−	0.339962i	$-0.110414\pi$
$464$	−7.57517	−	5.50368i	−0.351669	−	0.255502i
$465$	−0.368640	+	0.273885i	−0.0170953	+	0.0127011i
$466$	−1.70006	−	5.23226i	−0.0787539	−	0.242380i
$467$	−17.9188	−	24.6632i	−0.829185	−	1.14128i	−0.988074	−	0.153979i	$-0.950791\pi$
$467$	−17.9188	−	24.6632i	−0.829185	−	1.14128i	0.158889	−	0.987296i	$-0.449209\pi$
$468$	−2.21961	−	3.05504i	−0.102602	−	0.141219i
$469$	2.56170	+	7.88411i	0.118288	+	0.364054i
$470$	8.10412	+	10.9078i	0.373815	+	0.503141i
$471$	−4.05372	−	2.94520i	−0.186785	−	0.135707i
$472$			22.9491i			1.05632i
$473$	−2.86120	−	7.93957i	−0.131558	−	0.365062i
$474$	4.35868			0.200201
$475$	−0.400654	+	1.32887i	−0.0183833	+	0.0609728i
$476$	1.46857	−	4.51981i	0.0673120	−	0.207165i
$477$	−23.7833	+	7.72766i	−1.08896	+	0.353825i
$478$	−17.5345	−	24.1342i	−0.802009	−	1.10387i
$479$	11.3257	−	8.22857i	0.517482	−	0.375973i	−0.298172	−	0.954512i	$-0.596377\pi$
$479$	11.3257	−	8.22857i	0.517482	−	0.375973i	0.815655	+	0.578539i	$0.196377\pi$
$480$	−2.04800	−	0.641373i	−0.0934778	−	0.0292745i
$481$	0.445590	−	1.37138i	0.0203172	−	0.0625298i
$482$	8.73241	−	12.0191i	0.397750	−	0.547456i
$483$		−	7.90697i		−	0.359780i
$484$	4.43434	+	2.81027i	0.201561	+	0.127740i
$485$	−19.8726	−	14.1170i	−0.902367	−	0.641019i
$486$	9.23972	+	6.71305i	0.419122	+	0.304510i
$487$	32.4606	+	10.5471i	1.47093	+	0.477934i	0.931389	−	0.364026i	$-0.118598\pi$
$487$	32.4606	+	10.5471i	1.47093	+	0.477934i	0.539541	+	0.841960i	$0.318598\pi$
$488$	41.2229	−	13.3941i	1.86607	−	0.606324i
$489$	2.63282	−	1.91285i	0.119060	−	0.0865022i
$490$	0.868522	−	0.00926186i	0.0392358	−	0.000418408i
$491$	−0.987097	−	3.03797i	−0.0445470	−	0.137102i	0.926309	−	0.376764i	$-0.122963\pi$
$491$	−0.987097	−	3.03797i	−0.0445470	−	0.137102i	−0.970856	+	0.239662i	$0.922963\pi$
$492$	0.844543	+	0.274409i	0.0380750	+	0.0123713i
$493$	−7.52244	+	10.3538i	−0.338794	+	0.466310i
$494$	0.945184			0.0425258
$495$	5.70861	−	20.4855i	0.256583	−	0.920757i
$496$	−1.58993			−0.0713898
$497$	12.7675	−	17.5730i	0.572702	−	0.788257i
$498$	1.40837	+	0.457607i	0.0631106	+	0.0205059i
$499$	−2.01742	−	6.20897i	−0.0903120	−	0.277952i	0.895692	−	0.444676i	$-0.146681\pi$
$499$	−2.01742	−	6.20897i	−0.0903120	−	0.277952i	−0.986004	+	0.166724i	$0.946681\pi$
$500$	5.01943	−	1.81037i	0.224476	−	0.0809620i
$501$	4.98186	−	3.61953i	0.222573	−	0.161709i
$502$	−0.629504	+	0.204538i	−0.0280961	+	0.00912898i
$503$	−0.954737	−	0.310213i	−0.0425696	−	0.0138317i	0.287655	−	0.957734i	$-0.407124\pi$
$503$	−0.954737	−	0.310213i	−0.0425696	−	0.0138317i	−0.330224	+	0.943902i	$0.607124\pi$
$504$	18.3361	+	13.3219i	0.816753	+	0.593406i
$505$	17.9200	−	25.2261i	0.797430	−	1.12255i
$506$	−33.0236	−	9.58317i	−1.46808	−	0.426024i
$507$		−	1.96052i		−	0.0870697i
$508$	3.12387	−	4.29964i	0.138599	−	0.190766i
$509$	1.32074	−	4.06483i	0.0585409	−	0.180170i	−0.917510	−	0.397713i	$-0.869804\pi$
$509$	1.32074	−	4.06483i	0.0585409	−	0.180170i	0.976051	+	0.217542i	$0.0698041\pi$
$510$	1.15596	−	3.69116i	0.0511869	−	0.163447i
$511$	−27.2669	+	19.8105i	−1.20621	+	0.876366i
$512$	−14.4929	−	19.9477i	−0.640501	−	0.881574i
$513$	0.563828	−	0.183199i	0.0248936	−	0.00808842i
$514$	9.04501	−	27.8377i	0.398958	−	1.22787i
$515$	9.55531	+	28.3750i	0.421057	+	1.25035i
$516$	−0.442028			−0.0194592
$517$	−16.3254	+	0.518099i	−0.717990	+	0.0227860i
$518$			1.66735i			0.0732590i
$519$	0.995271	+	0.723107i	0.0436875	+	0.0317409i
$520$	−11.2484	−	15.1399i	−0.493273	−	0.663928i
$521$	−3.05561	−	9.40421i	−0.133869	−	0.412006i	0.861544	−	0.507684i	$-0.169498\pi$
$521$	−3.05561	−	9.40421i	−0.133869	−	0.412006i	−0.995412	+	0.0956779i	$0.969498\pi$
$522$	−6.91158	−	9.51297i	−0.302512	−	0.416371i
$523$	25.9607	+	35.7318i	1.13518	+	1.56244i	0.777831	+	0.628474i	$0.216320\pi$
$523$	25.9607	+	35.7318i	1.13518	+	1.56244i	0.357351	+	0.933970i	$0.383680\pi$
$524$	1.49914	+	4.61387i	0.0654901	+	0.201558i
$525$	4.70446	−	0.100347i	0.205319	−	0.00437952i
$526$	−4.96808	−	3.60952i	−0.216619	−	0.157383i
$527$			2.17311i			0.0946623i
$528$	−2.68708	+	2.08564i	−0.116940	+	0.0907659i
$529$	−47.5902			−2.06914
$530$	−22.8051	+	7.67962i	−0.990589	+	0.333581i
$531$	−6.65227	+	20.4736i	−0.288684	+	0.888477i
$532$	0.325780	−	0.105852i	0.0141244	−	0.00458928i
$533$	8.29081	+	11.4113i	0.359115	+	0.494279i
$534$	−0.904152	+	0.656905i	−0.0391265	+	0.0284270i
$535$	−6.85602	+	21.8923i	−0.296412	+	0.946486i
$536$	3.02869	−	9.32135i	0.130820	−	0.402621i
$537$	2.95754	−	4.07070i	0.127627	−	0.175664i
$538$			35.5447i			1.53244i
$539$	−0.586552	+	0.863660i	−0.0252646	+	0.0372005i
$540$	−1.85806	−	1.31992i	−0.0799581	−	0.0568002i
$541$	17.2074	+	12.5019i	0.739805	+	0.537499i	0.892650	−	0.450751i	$-0.148844\pi$
$541$	17.2074	+	12.5019i	0.739805	+	0.537499i	−0.152845	+	0.988250i	$0.548844\pi$
$542$	18.8670	+	6.13026i	0.810406	+	0.263317i
$543$	−0.899692	+	0.292328i	−0.0386095	+	0.0125450i
$544$	−8.21558	+	5.96897i	−0.352240	+	0.255918i
$545$	0.117851	+	11.0514i	0.00504820	+	0.473390i
$546$	−0.990219	−	3.04758i	−0.0423775	−	0.130424i
$547$	3.93160	+	1.27746i	0.168103	+	0.0546201i	0.391859	−	0.920025i	$-0.371832\pi$
$547$	3.93160	+	1.27746i	0.168103	+	0.0546201i	−0.223756	+	0.974645i	$0.571832\pi$
$548$	−1.21919	+	1.67806i	−0.0520810	+	0.0716834i
$549$	40.6587			1.73527
$550$	5.28265	−	19.7699i	0.225253	−	0.842989i
$551$	−0.922455			−0.0392979
$552$	−5.49485	+	7.56301i	−0.233876	+	0.321903i
$553$	23.8631	+	7.75358i	1.01476	+	0.329716i
$554$	6.86529	+	21.1292i	0.291678	+	0.897694i
$555$	−0.00453538	−	0.425300i	−0.000192516	−	0.0180530i
$556$	−3.20568	+	2.32906i	−0.135951	+	0.0987742i
$557$	−30.1172	+	9.78568i	−1.27611	+	0.414633i	−0.867208	−	0.497947i	$-0.834088\pi$
$557$	−30.1172	+	9.78568i	−1.27611	+	0.414633i	−0.408900	+	0.912579i	$0.634088\pi$
$558$	−1.89892	−	0.616997i	−0.0803877	−	0.0261196i
$559$	−5.68028	−	4.12697i	−0.240250	−	0.174552i
$560$	13.2808	+	9.43431i	0.561214	+	0.398673i
$561$	2.85066	+	3.67270i	0.120355	+	0.155061i
$562$		−	16.9242i		−	0.713904i
$563$	7.49233	−	10.3123i	0.315764	−	0.434612i	−0.621404	−	0.783490i	$-0.713437\pi$
$563$	7.49233	−	10.3123i	0.315764	−	0.434612i	0.937168	+	0.348879i	$0.113437\pi$
$564$	−0.264365	+	0.813631i	−0.0111318	+	0.0342600i
$565$	−6.63193	+	21.1767i	−0.279007	+	0.890912i
$566$	−20.4700	+	14.8723i	−0.860419	+	0.625131i
$567$	11.8925	+	16.3686i	0.499437	+	0.687416i
$568$	−24.4243	+	7.93592i	−1.02482	+	0.332984i
$569$	−4.83153	+	14.8699i	−0.202548	+	0.623380i	0.797257	+	0.603640i	$0.206284\pi$
$569$	−4.83153	+	14.8699i	−0.202548	+	0.623380i	−0.999805	+	0.0197396i	$0.993716\pi$
$570$	0.264215	−	0.0889746i	0.0110668	−	0.00372674i
$571$	−3.61999			−0.151492			−0.0757460	−	0.997127i	$-0.524134\pi$
$571$	−3.61999			−0.151492			−0.0757460	+	0.997127i	$0.524134\pi$
$572$	4.36547	−	0.138541i	0.182529	−	0.00579271i
$573$		−	0.807429i		−	0.0337308i
$574$	−13.1950	−	9.58671i	−0.550748	−	0.400142i
$575$	−0.895861	−	41.9994i	−0.0373600	−	1.75150i
$576$	−7.87684	−	24.2424i	−0.328202	−	1.01010i
$577$	14.0100	+	19.2831i	0.583243	+	0.802765i	0.994046	−	0.108959i	$-0.0347516\pi$
$577$	14.0100	+	19.2831i	0.583243	+	0.802765i	−0.410803	+	0.911724i	$0.634752\pi$
$578$	1.57246	+	2.16431i	0.0654058	+	0.0900234i
$579$	1.17836	+	3.62661i	0.0489709	+	0.150717i
$580$	2.11496	+	2.84665i	0.0878189	+	0.118201i
$581$	6.89657	+	5.01065i	0.286118	+	0.207877i
$582$			4.89641i			0.202963i
$583$	8.06090	−	27.7779i	0.333848	−	1.15044i
$584$	39.8478			1.64891
$585$	−5.64640	−	16.7673i	−0.233450	−	0.693242i
$586$	−8.54674	+	26.3042i	−0.353063	+	1.08661i
$587$	1.18595	−	0.385338i	0.0489493	−	0.0159046i	−0.284440	−	0.958694i	$-0.591808\pi$
$587$	1.18595	−	0.385338i	0.0489493	−	0.0159046i	0.333389	+	0.942789i	$0.391808\pi$
$588$	0.0321412	+	0.0442385i	0.00132548	+	0.00182436i
$589$	−0.126720	+	0.0920674i	−0.00522140	+	0.00379357i
$590$	−6.19076	+	19.7680i	−0.254870	+	0.813836i
$591$	−0.149219	+	0.459249i	−0.00613805	+	0.0188910i
$592$	0.865504	−	1.19126i	0.0355720	−	0.0489606i
$593$			18.5288i			0.760886i	0.924804	+	0.380443i	$0.124228\pi$
$593$			18.5288i			0.760886i	−0.924804	+	0.380443i	$0.875772\pi$
$594$	−8.22300	+	2.96333i	−0.337394	+	0.121587i
$595$	12.8948	−	18.1522i	0.528637	−	0.744166i
$596$	3.26917	+	2.37519i	0.133910	+	0.0972915i
$597$	−1.80118	−	0.585240i	−0.0737176	−	0.0239523i
$598$	−27.2075	+	8.84026i	−1.11260	+	0.361505i
$599$	27.3738	−	19.8882i	1.11846	−	0.812611i	0.134488	−	0.990915i	$-0.457061\pi$
$599$	27.3738	−	19.8882i	1.11846	−	0.812611i	0.983975	+	0.178304i	$0.0570612\pi$
$600$	−4.56954	−	3.17332i	−0.186551	−	0.129550i
$601$	−6.58286	−	20.2600i	−0.268520	−	0.826421i	−0.990861	−	0.134884i	$-0.956934\pi$
$601$	−6.58286	−	20.2600i	−0.268520	−	0.826421i	0.722341	−	0.691537i	$-0.243066\pi$
$602$	7.72132	+	2.50881i	0.314698	+	0.102251i
$603$	5.40397	−	7.43793i	0.220067	−	0.302896i
$604$	5.29869			0.215601
$605$	15.8914	+	18.7740i	0.646076	+	0.763273i
$606$	−6.21547			−0.252486
$607$	−22.0185	+	30.3059i	−0.893704	+	1.23008i	0.0787287	+	0.996896i	$0.474914\pi$
$607$	−22.0185	+	30.3059i	−0.893704	+	1.23008i	−0.972433	+	0.233182i	$0.925086\pi$
$608$	−0.696133	−	0.226187i	−0.0282319	−	0.00917310i
$609$	0.966407	+	2.97430i	0.0391608	+	0.120525i
$610$	39.1220	−	0.417194i	1.58400	−	0.0168917i
$611$	−10.9936	+	7.98734i	−0.444755	+	0.323133i
$612$	−5.01266	+	1.62871i	−0.202625	+	0.0658367i
$613$	−19.0256	−	6.18180i	−0.768437	−	0.249680i	−0.101541	−	0.994831i	$-0.532377\pi$
$613$	−19.0256	−	6.18180i	−0.768437	−	0.249680i	−0.666896	+	0.745151i	$0.732377\pi$
$614$	20.2703	+	14.7272i	0.818043	+	0.594343i
$615$	3.39180	+	2.40945i	0.136771	+	0.0971584i
$616$	−24.6618	+	8.88741i	−0.993652	+	0.358084i
$617$		−	34.7932i		−	1.40072i	−0.713790	−	0.700360i	$-0.753023\pi$
$617$		−	34.7932i		−	1.40072i	0.713790	−	0.700360i	$-0.246977\pi$
$618$	3.53500	−	4.86551i	0.142198	−	0.195719i
$619$	14.2407	−	43.8285i	0.572384	−	1.76162i	−0.0725362	−	0.997366i	$-0.523109\pi$
$619$	14.2407	−	43.8285i	0.572384	−	1.76162i	0.644920	−	0.764250i	$-0.276891\pi$
$620$	0.574653	+	0.179964i	0.0230786	+	0.00722754i
$621$	−14.5166	+	10.5469i	−0.582530	+	0.423233i
$622$	−6.35297	−	8.74411i	−0.254731	−	0.350607i
$623$	−6.11864	+	1.98807i	−0.245138	+	0.0796502i
$624$	−0.874492	+	2.69141i	−0.0350077	+	0.107743i
$625$	24.9773	−	1.06603i	0.999090	−	0.0426412i
$626$	−2.13633			−0.0853849
$627$	−0.0933921	+	0.321829i	−0.00372972	+	0.0128526i
$628$			6.57008i			0.262175i
$629$	−1.62822	−	1.18297i	−0.0649214	−	0.0471682i
$630$	12.2007	+	16.4216i	0.486086	+	0.654254i
$631$	−6.34658	−	19.5328i	−0.252653	−	0.777587i	−0.994283	−	0.106778i	$-0.965947\pi$
$631$	−6.34658	−	19.5328i	−0.252653	−	0.777587i	0.741629	−	0.670810i	$-0.234053\pi$
$632$	−17.4367	−	23.9996i	−0.693596	−	0.954653i
$633$	4.04707	+	5.57031i	0.160857	+	0.221400i
$634$	6.66419	+	20.5103i	0.264669	+	0.814567i
$635$	19.9875	−	14.8500i	0.793181	−	0.589304i
$636$	−1.22561	−	0.890458i	−0.0485986	−	0.0353090i
$637$			0.868571i			0.0344140i
$638$	13.5935	−	0.431399i	0.538171	−	0.0170793i
$639$	−24.0900			−0.952985
$640$	−4.06450	−	12.0698i	−0.160664	−	0.477100i
$641$	4.91631	−	15.1309i	0.194183	−	0.597633i	−0.805802	−	0.592185i	$-0.798266\pi$
$641$	4.91631	−	15.1309i	0.194183	−	0.597633i	0.999985	−	0.00544856i	$-0.00173434\pi$
$642$	4.38250	−	1.42396i	0.172963	−	0.0561992i
$643$	−24.8656	−	34.2246i	−0.980603	−	1.34968i	−0.936504	−	0.350658i	$-0.885958\pi$
$643$	−24.8656	−	34.2246i	−0.980603	−	1.34968i	−0.0440996	−	0.999027i	$-0.514042\pi$
$644$	−8.38769	+	6.09402i	−0.330521	+	0.240138i
$645$	−1.97635	−	0.618935i	−0.0778187	−	0.0243705i
$646$	0.407663	−	1.25466i	0.0160393	−	0.0493639i
$647$	4.40187	−	6.05866i	0.173055	−	0.238190i	−0.713675	−	0.700477i	$-0.752971\pi$
$647$	4.40187	−	6.05866i	0.173055	−	0.238190i	0.886731	+	0.462286i	$0.152971\pi$
$648$		−	23.9210i		−	0.939707i
$649$	−15.2667	−	19.6692i	−0.599271	−	0.772082i
$650$	−5.60503	−	16.0756i	−0.219847	−	0.630538i
$651$	0.429613	+	0.312132i	0.0168379	+	0.0122334i
$652$	−4.05830	−	1.31862i	−0.158935	−	0.0516412i
$653$	−15.6641	+	5.08959i	−0.612985	+	0.199171i	−0.599023	−	0.800732i	$-0.704444\pi$
$653$	−15.6641	+	5.08959i	−0.612985	+	0.199171i	−0.0139618	+	0.999903i	$0.504444\pi$
$654$	1.79601	−	1.30487i	0.0702294	−	0.0510246i
$655$	0.242372	+	22.7282i	0.00947025	+	0.888063i
$656$	4.45100	+	13.6988i	0.173782	+	0.534847i
$657$	35.5494	+	11.5507i	1.38691	+	0.450635i
$658$	9.23581	−	12.7120i	0.360050	−	0.495566i
$659$	−23.7359			−0.924619			−0.462310	−	0.886719i	$-0.652979\pi$
$659$	−23.7359			−0.924619			−0.462310	+	0.886719i	$0.652979\pi$
$660$	1.20727	−	0.449670i	0.0469931	−	0.0175034i
$661$	13.4183			0.521911			0.260956	−	0.965351i	$-0.415962\pi$
$661$	13.4183			0.521911			0.260956	+	0.965351i	$0.415962\pi$
$662$	−9.15308	+	12.5981i	−0.355745	+	0.489640i
$663$	3.67862	+	1.19526i	0.142866	+	0.0464199i
$664$	−3.11447	−	9.58536i	−0.120865	−	0.371984i
$665$	1.60481	−	0.0171136i	0.0622319	−	0.000663637i
$666$	1.49600	−	1.08691i	0.0579688	−	0.0421168i
$667$	26.5533	−	8.62768i	1.02815	−	0.334065i
$668$	−7.67918	−	2.49512i	−0.297116	−	0.0965389i
$669$	6.44068	+	4.67943i	0.249011	+	0.180917i
$670$	5.12340	−	7.21225i	0.197934	−	0.278634i
$671$	−26.4209	+	38.9030i	−1.01997	+	1.50183i
$672$			2.48152i			0.0957268i
$673$	28.3824	−	39.0650i	1.09406	−	1.50585i	0.251031	−	0.967979i	$-0.419230\pi$
$673$	28.3824	−	39.0650i	1.09406	−	1.50585i	0.843030	−	0.537867i	$-0.180770\pi$
$674$	−4.52246	+	13.9187i	−0.174199	+	0.536128i
$675$	−6.45939	−	8.50316i	−0.248622	−	0.327287i
$676$	−2.07971	+	1.51100i	−0.0799889	+	0.0581154i
$677$	14.3206	+	19.7107i	0.550387	+	0.757543i	0.990065	−	0.140613i	$-0.0449073\pi$
$677$	14.3206	+	19.7107i	0.550387	+	0.757543i	−0.439678	+	0.898156i	$0.644907\pi$
$678$	4.23926	−	1.37742i	0.162808	−	0.0528994i
$679$	−8.71013	+	26.8070i	−0.334264	+	1.02876i
$680$	−24.9485	+	8.40142i	−0.956731	+	0.322180i
$681$	−0.887625			−0.0340139
$682$	1.82431	−	1.41598i	0.0698565	−	0.0542209i
$683$			38.9856i			1.49174i	0.666090	+	0.745871i	$0.267966\pi$
$683$			38.9856i			1.49174i	−0.666090	+	0.745871i	$0.732034\pi$
$684$	−0.307344	−	0.223298i	−0.0117516	−	0.00853802i
$685$	−7.80074	+	5.79566i	−0.298051	+	0.221441i
$686$	−7.21198	−	22.1962i	−0.275355	−	0.847454i
$687$	−1.56204	−	2.14996i	−0.0595956	−	0.0820263i
$688$	−4.21433	−	5.80053i	−0.160670	−	0.221143i
$689$	−7.43600	−	22.8857i	−0.283289	−	0.871875i
$690$	−6.77338	+	5.03237i	−0.257858	+	0.191579i
$691$	−4.78820	−	3.47883i	−0.182152	−	0.132341i	0.492973	−	0.870045i	$-0.335910\pi$
$691$	−4.78820	−	3.47883i	−0.182152	−	0.132341i	−0.675125	+	0.737704i	$0.735910\pi$
$692$		−	1.61309i		−	0.0613205i
$693$	−24.5777	+	0.779993i	−0.933630	+	0.0296295i
$694$	−27.5230			−1.04476
$695$	−17.5941	+	5.92481i	−0.667381	+	0.224741i
$696$	1.14258	−	3.51650i	0.0433094	−	0.133293i
$697$	18.7235	−	6.08364i	0.709203	−	0.230434i
$698$	−11.5819	−	15.9411i	−0.438380	−	0.603378i
$699$	1.31283	−	0.953826i	0.0496557	−	0.0360770i
$700$	−3.73224	−	4.91313i	−0.141065	−	0.185699i
$701$	3.69808	−	11.3815i	0.139675	−	0.429874i	−0.856613	−	0.515959i	$-0.827436\pi$
$701$	3.69808	−	11.3815i	0.139675	−	0.429874i	0.996288	+	0.0860851i	$0.0274357\pi$
$702$	−4.27429	+	5.88306i	−0.161323	+	0.222042i
$703$		−	0.145064i		−	0.00547120i
$704$	28.3141	+	8.21652i	1.06713	+	0.309672i
$705$	−2.32126	+	3.26765i	−0.0874236	+	0.123067i
$706$	24.1001	+	17.5098i	0.907021	+	0.658989i
$707$	−34.0287	−	11.0566i	−1.27978	−	0.415826i
$708$	−1.24029	+	0.402994i	−0.0466129	+	0.0151455i
$709$	5.50819	−	4.00194i	0.206865	−	0.150296i	−0.479529	−	0.877526i	$-0.659193\pi$
$709$	5.50819	−	4.00194i	0.206865	−	0.150296i	0.686394	+	0.727230i	$0.259193\pi$
$710$	−23.1795	+	0.247185i	−0.869911	+	0.00927668i
$711$	−8.59904	−	26.4651i	−0.322489	−	0.992520i
$712$	7.23405	+	2.35048i	0.271107	+	0.0880881i
$713$	2.78659	−	3.83541i	0.104358	−	0.143637i
$714$	−4.47251			−0.167380
$715$	19.7124	+	5.49316i	0.737202	+	0.205433i
$716$	−6.59761			−0.246564
$717$	5.17202	−	7.11868i	0.193153	−	0.265852i
$718$	23.9160	+	7.77077i	0.892537	+	0.290003i
$719$	2.86277	+	8.81069i	0.106763	+	0.328583i	0.990140	−	0.140080i	$-0.0447359\pi$
$719$	2.86277	+	8.81069i	0.106763	+	0.328583i	−0.883377	+	0.468663i	$0.844736\pi$
$720$	−0.192655	−	18.0660i	−0.00717981	−	0.673279i
$721$	28.0087	−	20.3495i	1.04310	−	0.757855i
$722$	−22.2079	+	7.21579i	−0.826493	+	0.268544i
$723$	4.16763	+	1.35414i	0.154996	+	0.0503612i
$724$	1.00351	+	0.729090i	0.0372950	+	0.0270964i
$725$	5.47025	+	15.6891i	0.203160	+	0.582677i
$726$	1.22574	−	4.78621i	0.0454913	−	0.177633i
$727$		−	19.4121i		−	0.719956i	−0.932961	−	0.359978i	$-0.882784\pi$
$727$		−	19.4121i		−	0.719956i	0.932961	−	0.359978i	$-0.117216\pi$
$728$	−12.8191	+	17.6440i	−0.475109	+	0.653931i
$729$	6.21336	−	19.1228i	0.230125	−	0.708250i
$730$	34.3243	+	10.7494i	1.27040	+	0.397851i
$731$	−7.92817	+	5.76015i	−0.293234	+	0.213047i
$732$	1.44778	+	1.99269i	0.0535114	+	0.0736521i
$733$	−10.9962	+	3.57287i	−0.406152	+	0.131967i	−0.504966	−	0.863139i	$-0.668495\pi$
$733$	−10.9962	+	3.57287i	−0.406152	+	0.131967i	0.0988140	+	0.995106i	$0.468495\pi$
$734$	−2.06079	+	6.34247i	−0.0760653	+	0.234105i
$735$	0.0817627	+	0.242799i	0.00301586	+	0.00895578i
$736$	22.1540			0.816608
$737$	3.60513	+	10.0039i	0.132797	+	0.368500i
$738$			18.0884i			0.665842i
$739$	7.36801	+	5.35317i	0.271037	+	0.196920i	0.714998	−	0.699126i	$-0.246427\pi$
$739$	7.36801	+	5.35317i	0.271037	+	0.196920i	−0.443962	+	0.896046i	$0.646427\pi$
$740$	−0.447662	+	0.332596i	−0.0164564	+	0.0122265i
$741$	0.0861521	+	0.265149i	0.00316488	+	0.00974049i
$742$	16.3549	+	22.5106i	0.600409	+	0.826391i
$743$	−0.0429676	−	0.0591398i	−0.00157633	−	0.00216963i	0.808228	−	0.588870i	$-0.200427\pi$
$743$	−0.0429676	−	0.0591398i	−0.00157633	−	0.00216963i	−0.809804	+	0.586700i	$0.800427\pi$
$744$	−0.194012	−	0.597108i	−0.00711283	−	0.0218910i
$745$	11.2910	+	15.1972i	0.413669	+	0.556783i
$746$	17.0695	+	12.4017i	0.624959	+	0.454059i
$747$		−	9.45417i		−	0.345910i
$748$	1.69895	−	5.85457i	0.0621197	−	0.214064i
$749$	26.5265			0.969258
$750$	−3.08010	−	3.96613i	−0.112469	−	0.144823i
$751$	−11.9045	+	36.6384i	−0.434403	+	1.33695i	0.459295	+	0.888284i	$0.348102\pi$
$751$	−11.9045	+	36.6384i	−0.434403	+	1.33695i	−0.893697	+	0.448670i	$0.851898\pi$
$752$	−13.1974	+	4.28808i	−0.481258	+	0.156370i
$753$	−0.114757	−	0.157949i	−0.00418197	−	0.00575598i
$754$	9.15394	−	6.65073i	0.333367	−	0.242205i
$755$	23.6909	+	7.41930i	0.862201	+	0.270016i
$756$	−0.814385	+	2.50642i	−0.0296189	+	0.0911576i
$757$	−16.5530	+	22.7833i	−0.601630	+	0.828073i	−0.995856	−	0.0909407i	$-0.971013\pi$
$757$	−16.5530	+	22.7833i	−0.601630	+	0.828073i	0.394226	+	0.919013i	$0.371013\pi$
$758$		−	10.6024i		−	0.385097i
$759$	−0.321721	−	10.1375i	−0.0116777	−	0.367967i
$760$	−1.54689	−	1.09887i	−0.0561116	−	0.0398603i
$761$	23.8575	+	17.3335i	0.864832	+	0.628337i	0.929195	−	0.369589i	$-0.120502\pi$
$761$	23.8575	+	17.3335i	0.864832	+	0.628337i	−0.0643631	+	0.997927i	$0.520502\pi$
$762$	−4.75684	−	1.54559i	−0.172322	−	0.0559909i
$763$	12.1541	−	3.94909i	0.440006	−	0.142967i
$764$	−0.856518	+	0.622297i	−0.0309877	+	0.0225139i
$765$	−24.6926	+	0.263321i	−0.892763	+	0.00952037i
$766$	−3.68725	−	11.3482i	−0.133226	−	0.410027i
$767$	−19.7009	−	6.40120i	−0.711357	−	0.231134i
$768$	2.29991	−	3.16556i	0.0829910	−	0.114227i
$769$	−8.42410			−0.303781			−0.151890	−	0.988397i	$-0.548536\pi$
$769$	−8.42410			−0.303781			−0.151890	+	0.988397i	$0.548536\pi$
$770$	−23.6408	+	1.00270i	−0.851955	+	0.0361348i
$771$	8.63364			0.310933
$772$	2.93892	−	4.04508i	0.105774	−	0.145586i
$773$	0.853557	+	0.277338i	0.0307003	+	0.00997514i	0.324327	−	0.945945i	$-0.394862\pi$
$773$	0.853557	+	0.277338i	0.0307003	+	0.00997514i	−0.293627	+	0.955920i	$0.594862\pi$
$774$	−2.78238	−	8.56327i	−0.100010	−	0.307800i
$775$	2.31734	+	1.60928i	0.0832412	+	0.0578069i
$776$	26.9604	−	19.5879i	0.967822	−	0.703164i
$777$	−0.467735	+	0.151976i	−0.0167799	+	0.00545212i
$778$	−32.1206	−	10.4366i	−1.15158	−	0.374171i
$779$	1.14800	+	0.834074i	0.0411315	+	0.0298838i
$780$	0.620713	−	0.873782i	0.0222251	−	0.0312864i
$781$	15.6542	−	23.0497i	0.560150	−	0.824785i
$782$			39.9287i			1.42785i
$783$	4.17151	−	5.74159i	0.149077	−	0.205188i
$784$	−0.274085	+	0.843546i	−0.00978874	+	0.0301267i
$785$	−9.19952	+	29.3754i	−0.328345	+	1.04845i
$786$	3.69364	−	2.68359i	0.131748	−	0.0957205i
$787$	−22.2187	−	30.5814i	−0.792010	−	1.09011i	−0.993855	−	0.110691i	$-0.964694\pi$
$787$	−22.2187	−	30.5814i	−0.792010	−	1.09011i	0.201844	−	0.979418i	$-0.435306\pi$
$788$	0.602175	−	0.195659i	0.0214516	−	0.00697005i
$789$	0.559733	−	1.72268i	0.0199270	−	0.0613290i
$790$	−8.54559	−	25.3766i	−0.304039	−	0.902860i
$791$	25.6595			0.912346
$792$	24.0506	+	16.3339i	0.854601	+	0.580400i
$793$			39.1242i			1.38934i
$794$	−10.6339	−	7.72596i	−0.377382	−	0.274184i
$795$	−4.23299	−	5.69744i	−0.150129	−	0.202067i
$796$	0.767377	+	2.36174i	0.0271990	+	0.0837098i
$797$	8.92880	+	12.2894i	0.316274	+	0.435314i	0.937325	−	0.348456i	$-0.113294\pi$
$797$	8.92880	+	12.2894i	0.316274	+	0.435314i	−0.621051	+	0.783770i	$0.713294\pi$
$798$	−0.189485	−	0.260804i	−0.00670770	−	0.00923236i
$799$	5.86096	+	18.0382i	0.207346	+	0.638145i
$800$	0.281157	+	13.1811i	0.00994039	+	0.466022i
$801$	5.77237	+	4.19387i	0.203957	+	0.148183i
$802$		−	16.9237i		−	0.597598i
$803$	−34.1526	+	26.5084i	−1.20522	+	0.935461i
$804$	0.556959			0.0196424
$805$	−46.0351	+	15.5023i	−1.62252	+	0.546386i
$806$	0.593711	−	1.82725i	0.0209126	−	0.0643623i
$807$	−9.97122	+	3.23985i	−0.351004	+	0.114048i
$808$	24.8647	+	34.2234i	0.874739	+	1.20397i
$809$	−32.1268	+	23.3415i	−1.12952	+	0.820643i	−0.985625	−	0.168951i	$-0.945962\pi$
$809$	−32.1268	+	23.3415i	−1.12952	+	0.820643i	−0.143893	+	0.989593i	$0.545962\pi$
$810$	6.45295	−	20.6052i	0.226734	−	0.723994i
$811$	2.72454	−	8.38527i	0.0956715	−	0.294447i	−0.891757	−	0.452515i	$-0.850527\pi$
$811$	2.72454	−	8.38527i	0.0956715	−	0.294447i	0.987428	+	0.158069i	$0.0505268\pi$
$812$	2.41030	−	3.31749i	0.0845850	−	0.116421i
$813$			5.85145i			0.205219i
$814$	0.0678414	+	2.13770i	0.00237784	+	0.0749262i
$815$	−16.2987	−	11.5782i	−0.570918	−	0.405566i
$816$	3.19546	+	2.32164i	0.111864	+	0.0812736i
$817$	−0.671779	−	0.218274i	−0.0235026	−	0.00763645i
$818$	26.1810	−	8.50673i	0.915398	−	0.297431i
$819$	−16.5508	+	12.0249i	−0.578332	+	0.420183i
$820$	−0.0581719	−	5.45501i	−0.00203145	−	0.190497i
$821$	−2.60214	−	8.00856i	−0.0908153	−	0.279501i	0.895325	−	0.445413i	$-0.146943\pi$
$821$	−2.60214	−	8.00856i	−0.0908153	−	0.279501i	−0.986141	+	0.165912i	$0.946943\pi$
$822$	1.85650	+	0.603214i	0.0647530	+	0.0210395i
$823$	14.0504	−	19.3388i	0.489767	−	0.674107i	−0.490578	−	0.871397i	$-0.663214\pi$
$823$	14.0504	−	19.3388i	0.489767	−	0.674107i	0.980345	+	0.197291i	$0.0632143\pi$
$824$	−40.9319			−1.42593
$825$	6.02747	−	0.320071i	0.209850	−	0.0111434i
$826$	23.9526			0.833416
$827$	27.9268	−	38.4379i	0.971109	−	1.33662i	0.0296239	−	0.999561i	$-0.490569\pi$
$827$	27.9268	−	38.4379i	0.971109	−	1.33662i	0.941485	−	0.337055i	$-0.109431\pi$
$828$	10.9355	+	3.55317i	0.380036	+	0.123481i
$829$	8.71437	+	26.8201i	0.302663	+	0.931500i	0.980539	+	0.196324i	$0.0629004\pi$
$829$	8.71437	+	26.8201i	0.302663	+	0.931500i	−0.677876	+	0.735176i	$0.737100\pi$
$830$	−0.0970082	−	9.09685i	−0.00336720	−	0.315756i
$831$	−5.30154	+	3.85179i	−0.183908	+	0.133617i
$832$	23.3275	−	7.57956i	0.808735	−	0.262774i
$833$	1.15296	+	0.374620i	0.0399477	+	0.0129798i
$834$	3.01688	+	2.19189i	0.104466	+	0.0758990i
$835$	−30.8406	−	21.9084i	−1.06728	−	0.758171i
$836$	0.413374	−	0.148968i	0.0142968	−	0.00515217i
$837$		−	1.20508i		−	0.0416537i
$838$	−0.370441	+	0.509868i	−0.0127967	+	0.0176131i
$839$	−6.90363	+	21.2472i	−0.238340	+	0.733535i	0.758321	+	0.651881i	$0.226020\pi$
$839$	−6.90363	+	21.2472i	−0.238340	+	0.733535i	−0.996661	+	0.0816534i	$0.973980\pi$
$840$	−1.92253	+	6.13891i	−0.0663335	+	0.211813i
$841$	14.5277	−	10.5550i	0.500954	−	0.363965i
$842$	9.58513	+	13.1928i	0.330325	+	0.454654i
$843$	4.74768	−	1.54262i	0.163519	−	0.0531305i
$844$	2.78984	−	8.58624i	0.0960302	−	0.295551i
$845$	−11.4143	+	3.84377i	−0.392664	+	0.132230i
$846$	−17.4263			−0.599128
$847$	15.2248	−	24.0233i	0.523130	−	0.825449i
$848$		−	24.5728i		−	0.843833i
$849$	−6.03789	−	4.38679i	−0.207220	−	0.150554i
$850$	−23.7566	+	0.506736i	−0.814845	+	0.0173809i
$851$	1.35678	+	4.17574i	0.0465098	+	0.143143i
$852$	−0.857797	−	1.18066i	−0.0293876	−	0.0404486i
$853$	4.79201	+	6.59563i	0.164075	+	0.225830i	0.883136	−	0.469117i	$-0.155428\pi$
$853$	4.79201	+	6.59563i	0.164075	+	0.225830i	−0.719061	+	0.694947i	$0.755428\pi$
$854$	−13.9798	−	43.0254i	−0.478378	−	1.47230i
$855$	−1.06150	−	1.42873i	−0.0363024	−	0.0488617i
$856$	−25.3726	−	18.4343i	−0.867217	−	0.630070i
$857$		−	4.42433i		−	0.151132i	−0.997141	−	0.0755662i	$-0.975924\pi$
$857$		−	4.42433i		−	0.151132i	0.997141	−	0.0755662i	$-0.0240764\pi$
$858$	−1.39355	−	3.86699i	−0.0475752	−	0.132017i
$859$	−2.90501			−0.0991176			−0.0495588	−	0.998771i	$-0.515782\pi$
$859$	−2.90501			−0.0991176			−0.0495588	+	0.998771i	$0.515782\pi$
$860$	0.866637	+	2.57353i	0.0295521	+	0.0877566i
$861$	1.48662	−	4.57535i	0.0506640	−	0.155928i
$862$	−34.5112	+	11.2134i	−1.17546	+	0.381929i
$863$	10.4097	+	14.3277i	0.354351	+	0.487722i	0.948564	−	0.316586i	$-0.102536\pi$
$863$	10.4097	+	14.3277i	0.354351	+	0.487722i	−0.594213	+	0.804308i	$0.702536\pi$
$864$	4.55588	−	3.31004i	0.154994	−	0.112610i
$865$	2.25867	−	7.21227i	0.0767972	−	0.245225i
$866$	3.89582	−	11.9901i	0.132385	−	0.407440i
$867$	−0.463818	+	0.638391i	−0.0157521	+	0.0216809i
$868$		−	0.696297i		−	0.0236339i
$869$	30.9102	+	8.96987i	1.04856	+	0.304282i
$870$	1.93281	−	2.72084i	0.0655285	−	0.0922450i
$871$	7.15721	+	5.20002i	0.242513	+	0.176196i
$872$	−14.3697	−	4.66900i	−0.486619	−	0.158112i
$873$	29.7301	−	9.65990i	1.00621	−	0.326938i
$874$	−2.32835	+	1.69164i	−0.0787576	+	0.0572207i
$875$	−9.80775	−	27.1930i	−0.331562	−	0.919292i
$876$	0.699741	+	2.15358i	0.0236421	+	0.0727628i
$877$	−48.8651	−	15.8772i	−1.65006	−	0.536136i	−0.671305	−	0.741181i	$-0.734266\pi$
$877$	−48.8651	−	15.8772i	−1.65006	−	0.536136i	−0.978753	+	0.205045i	$0.934266\pi$
$878$	−1.11197	+	1.53049i	−0.0375270	+	0.0516516i
$879$	−8.15803			−0.275164
$880$	17.4110	+	11.5553i	0.586926	+	0.389529i
$881$	33.6727			1.13446			0.567231	−	0.823559i	$-0.308015\pi$
$881$	33.6727			1.13446			0.567231	+	0.823559i	$0.308015\pi$
$882$	−0.654704	+	0.901123i	−0.0220450	+	0.0303424i
$883$	−13.2297	−	4.29860i	−0.445216	−	0.144660i	0.0778247	−	0.996967i	$-0.475203\pi$
$883$	−13.2297	−	4.29860i	−0.445216	−	0.144660i	−0.523041	+	0.852308i	$0.675203\pi$
$884$	−1.56724	−	4.82347i	−0.0527120	−	0.162231i
$885$	−6.10973	+	0.0651538i	−0.205376	+	0.00219012i
$886$	3.38685	−	2.46069i	0.113783	−	0.0826685i
$887$	42.5128	−	13.8133i	1.42744	−	0.463804i	0.509483	−	0.860481i	$-0.329837\pi$
$887$	42.5128	−	13.8133i	1.42744	−	0.463804i	0.917958	+	0.396677i	$0.129837\pi$
$888$	0.553001	+	0.179681i	0.0185575	+	0.00602970i
$889$	−23.2935	−	16.9237i	−0.781239	−	0.567603i
$890$	5.59723	+	3.97613i	0.187620	+	0.133280i
$891$	15.9133	+	20.5022i	0.533115	+	0.686849i
$892$		−	10.4388i		−	0.349516i
$893$	−0.803545	+	1.10598i	−0.0268896	+	0.0370104i
$894$	1.17517	−	3.61680i	0.0393035	−	0.120964i
$895$	−29.4985	−	9.23807i	−0.986027	−	0.308795i
$896$	−11.9139	+	8.65598i	−0.398017	+	0.289176i
$897$	−4.95985	−	6.82665i	−0.165605	−	0.227935i
$898$	37.9660	−	12.3359i	1.26694	−	0.411654i
$899$	−0.579434	+	1.78331i	−0.0193252	+	0.0594768i
$900$	−1.97526	+	6.55146i	−0.0658421	+	0.218382i
$901$	−33.5861			−1.11892
$902$	−17.3073	−	11.7542i	−0.576269	−	0.391372i
$903$			2.39471i			0.0796909i
$904$	−24.5433	−	17.8317i	−0.816297	−	0.593074i
$905$	3.46589	+	4.66495i	0.115210	+	0.155068i
$906$	−1.54095	−	4.74256i	−0.0511947	−	0.157561i
$907$	13.4003	+	18.4440i	0.444950	+	0.612421i	0.971303	−	0.237845i	$-0.0764410\pi$
$907$	13.4003	+	18.4440i	0.444950	+	0.612421i	−0.526353	+	0.850266i	$0.676441\pi$
$908$	0.684106	+	0.941591i	0.0227028	+	0.0312478i
$909$	12.2622	+	37.7392i	0.406712	+	1.25173i
$910$	−15.8019	+	11.7402i	−0.523827	+	0.389184i
$911$	−30.3887	−	22.0787i	−1.00682	−	0.731499i	−0.0432817	−	0.999063i	$-0.513781\pi$
$911$	−30.3887	−	22.0787i	−1.00682	−	0.731499i	−0.963540	+	0.267564i	$0.913781\pi$
$912$			0.284696i			0.00942722i
$913$	9.04593	+	6.14352i	0.299376	+	0.203321i
$914$	15.0214			0.496863
$915$	3.68294	+	10.9367i	0.121754	+	0.361557i
$916$	−1.07679	+	3.31402i	−0.0355781	+	0.109498i
$917$	24.9959	−	8.12165i	0.825437	−	0.268201i
$918$	5.96577	+	8.21118i	0.196900	+	0.271009i
$919$	32.1280	−	23.3424i	1.05981	−	0.769994i	0.0857538	−	0.996316i	$-0.472670\pi$
$919$	32.1280	−	23.3424i	1.05981	−	0.769994i	0.974053	+	0.226322i	$0.0726701\pi$
$920$	54.8057	+	17.1635i	1.80689	+	0.565865i
$921$	−2.28377	+	7.02872i	−0.0752528	+	0.231604i
$922$	12.0186	−	16.5421i	0.395810	−	0.544786i
$923$		−	23.1808i		−	0.763005i
$924$	−0.913392	−	1.17679i	−0.0300484	−	0.0387134i
$925$	−2.46724	+	0.860246i	−0.0811225	+	0.0282847i
$926$	14.6057	+	10.6116i	0.479972	+	0.348720i
$927$	−36.5165	−	11.8649i	−1.19936	−	0.389696i
$928$	−8.33348	+	2.70771i	−0.273560	+	0.0888850i
$929$	16.7708	−	12.1847i	0.550231	−	0.399766i	−0.277640	−	0.960685i	$-0.589552\pi$
$929$	16.7708	−	12.1847i	0.550231	−	0.399766i	0.827871	+	0.560919i	$0.189552\pi$
$930$	−0.00604300	−	0.566676i	−0.000198158	−	0.0185821i
$931$	0.0270020	+	0.0831035i	0.000884954	+	0.00272361i
$932$	−2.02363	−	0.657518i	−0.0662862	−	0.0215377i
$933$	1.87389	−	2.57919i	0.0613484	−	0.0844388i
$934$	37.6187			1.23092
$935$	15.7938	−	23.7974i	0.516513	−	0.778260i
$936$	24.1874			0.790588
$937$	−32.8282	+	45.1841i	−1.07245	+	1.47610i	−0.204877	+	0.978788i	$0.565680\pi$
$937$	−32.8282	+	45.1841i	−1.07245	+	1.47610i	−0.867572	+	0.497312i	$0.834320\pi$
$938$	−9.72893	−	3.16112i	−0.317661	−	0.103214i
$939$	−0.194723	−	0.599297i	−0.00635455	−	0.0195573i
$940$	5.25534	−	0.0560427i	0.171410	−	0.00182791i
$941$	10.8120	−	7.85541i	0.352462	−	0.256079i	−0.397439	−	0.917629i	$-0.630101\pi$
$941$	10.8120	−	7.85541i	0.352462	−	0.256079i	0.749901	+	0.661550i	$0.230101\pi$
$942$	5.88051	−	1.91069i	0.191597	−	0.0622537i
$943$	−40.8469	−	13.2720i	−1.33016	−	0.432194i
$944$	−17.1133	−	12.4336i	−0.556991	−	0.404678i
$945$	−7.15072	+	10.0661i	−0.232613	+	0.327451i
$946$	10.0015	+	2.90236i	0.325178	+	0.0943639i
$947$			42.2245i			1.37211i	0.727550	+	0.686055i	$0.240659\pi$
$947$			42.2245i			1.37211i	−0.727550	+	0.686055i	$0.759341\pi$
$948$	0.990868	−	1.36381i	0.0321819	−	0.0442946i
$949$	−11.1148	+	34.2077i	−0.360800	+	1.11043i
$950$	−1.03604	−	1.36384i	−0.0336135	−	0.0442489i
$951$	−5.14624	+	3.73896i	−0.166878	+	0.121244i
$952$	17.8921	+	24.6264i	0.579887	+	0.798146i
$953$	−13.9985	+	4.54837i	−0.453454	+	0.147336i	−0.526835	−	0.849968i	$-0.676621\pi$
$953$	−13.9985	+	4.54837i	−0.453454	+	0.147336i	0.0733803	+	0.997304i	$0.476621\pi$
$954$	9.53588	−	29.3484i	0.308735	−	0.950190i
$955$	−4.70092	+	1.58304i	−0.152118	+	0.0512259i
$956$	−11.5376			−0.373154
$957$	1.36004	+	3.77401i	0.0439640	+	0.121996i
$958$			17.2750i			0.558131i
$959$	9.09100	+	6.60500i	0.293564	+	0.213286i
$960$	5.80743	−	4.31471i	0.187434	−	0.139257i
$961$	−9.48114	−	29.1799i	−0.305843	−	0.941288i
$962$	1.04589	+	1.43954i	0.0337207	+	0.0464126i
$963$	−17.2921	−	23.8005i	−0.557229	−	0.766960i
$964$	−1.77558	−	5.46467i	−0.0571875	−	0.176005i
$965$	18.8042	−	13.9708i	0.605328	−	0.449736i
$966$	7.89370	+	5.73511i	0.253976	+	0.184524i
$967$			32.2786i			1.03801i	0.854771	+	0.519005i	$0.173697\pi$
$967$			32.2786i			1.03801i	−0.854771	+	0.519005i	$0.826303\pi$
$968$	−31.2571	+	12.3979i	−1.00464	+	0.398485i
$969$	0.389123			0.0125004
$970$	28.5073	−	9.59985i	0.915315	−	0.308233i
$971$	−13.2262	+	40.7060i	−0.424448	+	1.30632i	0.479074	+	0.877775i	$0.340973\pi$
$971$	−13.2262	+	40.7060i	−0.424448	+	1.30632i	−0.903522	+	0.428542i	$0.859027\pi$
$972$	4.20097	−	1.36498i	0.134746	−	0.0437817i
$973$	12.6178	+	17.3669i	0.404508	+	0.556757i
$974$	−34.0738	+	24.7561i	−1.09179	+	0.793235i
$975$	3.99875	−	3.03763i	0.128062	−	0.0972820i
$976$	−12.3460	+	37.9970i	−0.395185	+	1.21625i
$977$	−7.16932	+	9.86772i	−0.229367	+	0.315696i	−0.908152	−	0.418640i	$-0.862507\pi$
$977$	−7.16932	+	9.86772i	−0.229367	+	0.315696i	0.678785	+	0.734337i	$0.262507\pi$
$978$			4.01584i			0.128412i
$979$	−7.76378	+	2.79784i	−0.248131	+	0.0894195i
$980$	0.194545	−	0.273862i	0.00621451	−	0.00874821i
$981$	−11.4662	−	8.33070i	−0.366088	−	0.265979i
$982$	3.74884	+	1.21807i	0.119630	+	0.0388702i
$983$	−13.3786	+	4.34697i	−0.426711	+	0.138647i	−0.514496	−	0.857493i	$-0.672021\pi$
$983$	−13.3786	+	4.34697i	−0.426711	+	0.138647i	0.0877853	+	0.996139i	$0.472021\pi$
$984$	−4.60153	+	3.34321i	−0.146692	+	0.106578i
$985$	2.96635	−	0.0316329i	0.0945157	−	0.00100791i
$986$	−4.88018	−	15.0196i	−0.155416	−	0.478323i
$987$	4.40788	+	1.43221i	0.140305	+	0.0455877i
$988$	0.214871	−	0.295744i	0.00683595	−	0.00940887i
$989$	21.3790			0.679811
$990$	16.3106	+	20.5577i	0.518384	+	0.653366i
$991$	−22.9455			−0.728887			−0.364444	−	0.931225i	$-0.618741\pi$
$991$	−22.9455			−0.728887			−0.364444	+	0.931225i	$0.618741\pi$
$992$	−0.874542	+	1.20370i	−0.0277667	+	0.0382176i
$993$	−4.36840	−	1.41938i	−0.138627	−	0.0450426i
$994$	8.28292	+	25.4922i	0.262718	+	0.808564i
$995$	0.124065	+	11.6341i	0.00393313	+	0.368825i
$996$	0.463351	−	0.336645i	0.0146819	−	0.0106670i
$997$	3.45659	−	1.12311i	0.109471	−	0.0355694i	−0.253769	−	0.967265i	$-0.581670\pi$
$997$	3.45659	−	1.12311i	0.109471	−	0.0355694i	0.363240	+	0.931695i	$0.381670\pi$
$998$	7.66183	+	2.48948i	0.242531	+	0.0788031i
$999$	0.902916	+	0.656007i	0.0285670	+	0.0207551i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	55.2.j.a.4.2	✓	16
3.2	odd	2		495.2.ba.a.334.3		16
4.3	odd	2		880.2.cd.c.609.3		16
5.2	odd	4		275.2.h.d.26.2		16
5.3	odd	4		275.2.h.d.26.3		16
5.4	even	2	inner	55.2.j.a.4.3	yes	16
11.2	odd	10		605.2.j.g.269.2		16
11.3	even	5	inner	55.2.j.a.14.3	yes	16
11.4	even	5		605.2.j.h.9.2		16
11.5	even	5		605.2.b.g.364.3		8
11.6	odd	10		605.2.b.f.364.6		8
11.7	odd	10		605.2.j.g.9.3		16
11.8	odd	10		605.2.j.d.124.2		16
11.9	even	5		605.2.j.h.269.3		16
11.10	odd	2		605.2.j.d.444.3		16
15.14	odd	2		495.2.ba.a.334.2		16
20.19	odd	2		880.2.cd.c.609.2		16
33.14	odd	10		495.2.ba.a.289.2		16
44.3	odd	10		880.2.cd.c.289.2		16
55.3	odd	20		275.2.h.d.201.3		16
55.4	even	10		605.2.j.h.9.3		16
55.9	even	10		605.2.j.h.269.2		16
55.14	even	10	inner	55.2.j.a.14.2	yes	16
55.17	even	20		3025.2.a.bk.1.3		8
55.19	odd	10		605.2.j.d.124.3		16
55.24	odd	10		605.2.j.g.269.3		16
55.27	odd	20		3025.2.a.bl.1.6		8
55.28	even	20		3025.2.a.bk.1.6		8
55.29	odd	10		605.2.j.g.9.2		16
55.38	odd	20		3025.2.a.bl.1.3		8
55.39	odd	10		605.2.b.f.364.3		8
55.47	odd	20		275.2.h.d.201.2		16
55.49	even	10		605.2.b.g.364.6		8
55.54	odd	2		605.2.j.d.444.2		16
165.14	odd	10		495.2.ba.a.289.3		16
220.179	odd	10		880.2.cd.c.289.3		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.j.a.4.2	✓	16	1.1	even	1	trivial
55.2.j.a.4.3	yes	16	5.4	even	2	inner
55.2.j.a.14.2	yes	16	55.14	even	10	inner
55.2.j.a.14.3	yes	16	11.3	even	5	inner
275.2.h.d.26.2		16	5.2	odd	4
275.2.h.d.26.3		16	5.3	odd	4
275.2.h.d.201.2		16	55.47	odd	20
275.2.h.d.201.3		16	55.3	odd	20
495.2.ba.a.289.2		16	33.14	odd	10
495.2.ba.a.289.3		16	165.14	odd	10
495.2.ba.a.334.2		16	15.14	odd	2
495.2.ba.a.334.3		16	3.2	odd	2
605.2.b.f.364.3		8	55.39	odd	10
605.2.b.f.364.6		8	11.6	odd	10
605.2.b.g.364.3		8	11.5	even	5
605.2.b.g.364.6		8	55.49	even	10
605.2.j.d.124.2		16	11.8	odd	10
605.2.j.d.124.3		16	55.19	odd	10
605.2.j.d.444.2		16	55.54	odd	2
605.2.j.d.444.3		16	11.10	odd	2
605.2.j.g.9.2		16	55.29	odd	10
605.2.j.g.9.3		16	11.7	odd	10
605.2.j.g.269.2		16	11.2	odd	10
605.2.j.g.269.3		16	55.24	odd	10
605.2.j.h.9.2		16	11.4	even	5
605.2.j.h.9.3		16	55.4	even	10
605.2.j.h.269.2		16	55.9	even	10
605.2.j.h.269.3		16	11.9	even	5
880.2.cd.c.289.2		16	44.3	odd	10
880.2.cd.c.289.3		16	220.179	odd	10
880.2.cd.c.609.2		16	20.19	odd	2
880.2.cd.c.609.3		16	4.3	odd	2
3025.2.a.bk.1.3		8	55.17	even	20
3025.2.a.bk.1.6		8	55.28	even	20
3025.2.a.bl.1.3		8	55.38	odd	20
3025.2.a.bl.1.6		8	55.27	odd	20

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:	\( N \)	\(=\)	\( 55 = 5 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	55.j (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.725323 + 0.998322i) q^{2} +(-0.346168 - 0.112477i) q^{3} +(0.147481 + 0.453901i) q^{4} +(0.0238439 + 2.23594i) q^{5} +(0.363371 - 0.264005i) q^{6} +(2.45903 - 0.798988i) q^{7} +(-2.90731 - 0.944641i) q^{8} +(-2.31987 - 1.68548i) q^{9} +O(q^{10})\)	\(q+(-0.725323 + 0.998322i) q^{2} +(-0.346168 - 0.112477i) q^{3} +(0.147481 + 0.453901i) q^{4} +(0.0238439 + 2.23594i) q^{5} +(0.363371 - 0.264005i) q^{6} +(2.45903 - 0.798988i) q^{7} +(-2.90731 - 0.944641i) q^{8} +(-2.31987 - 1.68548i) q^{9} +(-2.24948 - 1.59798i) q^{10} +(3.12020 - 1.12443i) q^{11} -0.173714i q^{12} +(1.62187 - 2.23232i) q^{13} +(-0.985946 + 3.03443i) q^{14} +(0.243237 - 0.776692i) q^{15} +(2.27957 - 1.65620i) q^{16} +(-2.26370 - 3.11572i) q^{17} +(3.36531 - 1.09346i) q^{18} +(0.0857804 - 0.264005i) q^{19} +(-1.01138 + 0.340583i) q^{20} -0.941105 q^{21} +(-1.14061 + 3.93054i) q^{22} +8.40180i q^{23} +(0.900166 + 0.654009i) q^{24} +(-4.99886 + 0.106627i) q^{25} +(1.05219 + 3.23830i) q^{26} +(1.25532 + 1.72780i) q^{27} +(0.725323 + 0.998322i) q^{28} +(-1.02689 - 3.16043i) q^{29} +(0.598963 + 0.806182i) q^{30} +(-0.456498 - 0.331666i) q^{31} -2.63682i q^{32} +(-1.20659 + 0.0382919i) q^{33} +4.75241 q^{34} +(1.84512 + 5.47920i) q^{35} +(0.422906 - 1.30157i) q^{36} +(0.497006 - 0.161487i) q^{37} +(0.201343 + 0.277125i) q^{38} +(-0.812523 + 0.590333i) q^{39} +(2.04284 - 6.52309i) q^{40} +(-1.57966 + 4.86168i) q^{41} +(0.682605 - 0.939526i) q^{42} -2.54457i q^{43} +(0.970553 + 1.25043i) q^{44} +(3.71333 - 5.22728i) q^{45} +(-8.38769 - 6.09402i) q^{46} +(-4.68373 - 1.52184i) q^{47} +(-0.975398 + 0.316926i) q^{48} +(-0.254663 + 0.185023i) q^{49} +(3.51934 - 5.06781i) q^{50} +(0.433175 + 1.33318i) q^{51} +(1.25245 + 0.406945i) q^{52} +(5.12599 - 7.05533i) q^{53} -2.63541 q^{54} +(2.58856 + 6.94977i) q^{55} -7.90392 q^{56} +(-0.0593888 + 0.0817417i) q^{57} +(3.89995 + 1.26717i) q^{58} +(-2.31987 - 7.13983i) q^{59} +(0.388415 - 0.00414203i) q^{60} +(-11.4711 + 8.33424i) q^{61} +(0.662218 - 0.215168i) q^{62} +(-7.05132 - 2.29111i) q^{63} +(7.19153 + 5.22495i) q^{64} +(5.03000 + 3.57318i) q^{65} +(0.836937 - 1.23233i) q^{66} +3.20618i q^{67} +(1.08037 - 1.48701i) q^{68} +(0.945006 - 2.90843i) q^{69} +(-6.80831 - 2.13216i) q^{70} +(6.79655 - 4.93798i) q^{71} +(5.15239 + 7.09166i) q^{72} +(-12.3973 + 4.02812i) q^{73} +(-0.199274 + 0.613302i) q^{74} +(1.74244 + 0.525345i) q^{75} +0.132483 q^{76} +(6.77427 - 5.25802i) q^{77} -1.23934i q^{78} +(7.85090 + 5.70401i) q^{79} +(3.75753 + 5.05749i) q^{80} +(2.41812 + 7.44221i) q^{81} +(-3.70776 - 5.10330i) q^{82} +(1.93792 + 2.66732i) q^{83} +(-0.138796 - 0.427169i) q^{84} +(6.91259 - 5.13580i) q^{85} +(2.54030 + 1.84564i) q^{86} +1.20954i q^{87} +(-10.1336 + 0.321596i) q^{88} -2.48823 q^{89} +(2.52514 + 7.49856i) q^{90} +(2.20464 - 6.78519i) q^{91} +(-3.81359 + 1.23911i) q^{92} +(0.120720 + 0.166157i) q^{93} +(4.91650 - 3.57205i) q^{94} +(0.592344 + 0.185505i) q^{95} +(-0.296581 + 0.912781i) q^{96} +(-6.40771 + 8.81946i) q^{97} -0.388437i q^{98} +(-9.13367 - 2.65051i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9}+O(q^{10}) \) 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9	\( 16 q - 4 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{9} - 6 q^{11} - 12 q^{14} - 16 q^{15} + 16 q^{16} + 6 q^{19} - 8 q^{20} + 8 q^{21} + 6 q^{24} - 16 q^{25} + 40 q^{26} + 2 q^{29} + 26 q^{30} + 8 q^{31} - 16 q^{34} + 22 q^{35} + 10 q^{36} + 30 q^{39} + 12 q^{40} - 52 q^{41} + 4 q^{44} + 12 q^{45} - 62 q^{46} - 10 q^{49} + 28 q^{50} - 42 q^{51} - 40 q^{54} - 8 q^{55} - 20 q^{56} + 2 q^{59} - 32 q^{60} - 40 q^{61} - 8 q^{64} - 40 q^{65} + 58 q^{66} + 26 q^{69} - 34 q^{70} + 36 q^{71} + 48 q^{74} - 20 q^{75} + 56 q^{76} + 38 q^{79} + 34 q^{80} + 68 q^{81} + 12 q^{84} + 58 q^{85} + 22 q^{86} + 24 q^{89} + 78 q^{90} - 20 q^{91} + 14 q^{94} + 48 q^{95} - 86 q^{96} - 72 q^{99}+O(q^{100}) \) 16 * q - 4 * q^4 - 2 * q^5 - 18 * q^6 + 2 * q^9 - 6 * q^11 - 12 * q^14 - 16 * q^15 + 16 * q^16 + 6 * q^19 - 8 * q^20 + 8 * q^21 + 6 * q^24 - 16 * q^25 + 40 * q^26 + 2 * q^29 + 26 * q^30 + 8 * q^31 - 16 * q^34 + 22 * q^35 + 10 * q^36 + 30 * q^39 + 12 * q^40 - 52 * q^41 + 4 * q^44 + 12 * q^45 - 62 * q^46 - 10 * q^49 + 28 * q^50 - 42 * q^51 - 40 * q^54 - 8 * q^55 - 20 * q^56 + 2 * q^59 - 32 * q^60 - 40 * q^61 - 8 * q^64 - 40 * q^65 + 58 * q^66 + 26 * q^69 - 34 * q^70 + 36 * q^71 + 48 * q^74 - 20 * q^75 + 56 * q^76 + 38 * q^79 + 34 * q^80 + 68 * q^81 + 12 * q^84 + 58 * q^85 + 22 * q^86 + 24 * q^89 + 78 * q^90 - 20 * q^91 + 14 * q^94 + 48 * q^95 - 86 * q^96 - 72 * q^99

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