LMFDB - Embedded newform 55.2.j.a.14.3

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			14.3
Root			$-1.17360 + 0.381325i$ of defining polynomial
Character	$\chi$	$=$	55.14
Dual form			55.2.j.a.4.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.725323 + 0.998322i) q^{2} +(0.346168 - 0.112477i) q^{3} +(0.147481 - 0.453901i) q^{4} +(-2.11914 + 0.713621i) q^{5} +(0.363371 + 0.264005i) q^{6} +(-2.45903 - 0.798988i) q^{7} +(2.90731 - 0.944641i) q^{8} +(-2.31987 + 1.68548i) q^{9} +O(q^{10})$	\(q+(0.725323 + 0.998322i) q^{2} +(0.346168 - 0.112477i) q^{3} +(0.147481 - 0.453901i) q^{4} +(-2.11914 + 0.713621i) 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} +(-0.653311 + 0.485386i) 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} +(0.0113798 + 1.06713i) q^{20} -0.941105 q^{21} +(1.14061 + 3.93054i) q^{22} +8.40180i q^{23} +(0.900166 - 0.654009i) q^{24} +(3.98149 - 3.02452i) 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} +(-0.958433 - 0.300153i) q^{30} +(-0.456498 + 0.331666i) q^{31} -2.63682i q^{32} +(1.20659 + 0.0382919i) q^{33} +4.75241 q^{34} +(5.78120 - 0.0616504i) 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} +(-5.48687 + 4.07654i) 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} +(5.90731 + 1.78105i) q^{50} +(0.433175 - 1.33318i) q^{51} +(-1.25245 + 0.406945i) q^{52} +(-5.12599 - 7.05533i) q^{53} -2.63541 q^{54} +(-7.41455 - 0.156185i) q^{55} -7.90392 q^{56} +(0.0593888 + 0.0817417i) q^{57} +(-3.89995 + 1.26717i) q^{58} +(-2.31987 + 7.13983i) q^{59} +(0.123966 + 0.368124i) 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} +(4.25479 + 5.72678i) 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} +(1.03808 - 1.49482i) q^{75} +0.132483 q^{76} +(-6.77427 - 5.25802i) q^{77} -1.23934i q^{78} +(7.85090 - 5.70401i) q^{79} +(-6.01262 - 1.88298i) 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} +(-2.57366 + 8.21806i) q^{85} +(2.54030 - 1.84564i) q^{86} +1.20954i q^{87} +(10.1336 + 0.321596i) q^{88} -2.48823 q^{89} +(7.91187 - 0.0843717i) 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} +(-0.370180 - 0.498248i) 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 $\left(\mathbb{Z}/55\mathbb{Z}\right)^\times$.

$n$	$12$	$46$
$\chi(n)$	$-1$	$e\left(\frac{4}{5}\right)$

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	$-0.0562948\pi$
$2$	0.725323	+	0.998322i	0.512881	+	0.705920i	−0.471521	+	0.881855i	$0.656295\pi$
$3$	0.346168	−	0.112477i	0.199860	−	0.0649385i	−0.207376	−	0.978261i	$-0.566492\pi$
$3$	0.346168	−	0.112477i	0.199860	−	0.0649385i	0.407236	+	0.913323i	$0.366492\pi$
$4$	0.147481	−	0.453901i	0.0737407	−	0.226951i
$5$	−2.11914	+	0.713621i	−0.947707	+	0.319141i
$5$	−2.11914	+	0.713621i	−0.947707	+	0.319141i
$6$	0.363371	+	0.264005i	0.148346	+	0.107780i
$7$	−2.45903	−	0.798988i	−0.929427	−	0.301989i	−0.195099	−	0.980784i	$-0.562503\pi$
$7$	−2.45903	−	0.798988i	−0.929427	−	0.301989i	−0.734328	+	0.678795i	$0.762503\pi$
$8$	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	$-0.324987\pi$
$13$	−1.62187	−	2.23232i	−0.449826	−	0.619133i	−0.972360	+	0.233486i	$0.924987\pi$
$14$	−0.985946	−	3.03443i	−0.263505	−	0.810985i
$15$	−0.653311	+	0.485386i	−0.168684	+	0.125326i
$16$	2.27957	+	1.65620i	0.569892	+	0.414051i
$17$	2.26370	−	3.11572i	0.549028	−	0.755673i	−0.440852	−	0.897580i	$-0.645323\pi$
$17$	2.26370	−	3.11572i	0.549028	−	0.755673i	0.989880	+	0.141907i	$0.0453235\pi$
$18$	−3.36531	−	1.09346i	−0.793211	−	0.257730i
$19$	0.0857804	+	0.264005i	0.0196794	+	0.0605669i	0.960414	−	0.278577i	$-0.0898627\pi$
$19$	0.0857804	+	0.264005i	0.0196794	+	0.0605669i	−0.940735	+	0.339144i	$0.889863\pi$
$20$	0.0113798	+	1.06713i	0.00254459	+	0.238616i
$21$	−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
$25$	3.98149	−	3.02452i	0.796298	−	0.604904i
$26$	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	−1.00000		0.000502126i	$-0.999840\pi$
$29$	−1.02689	+	3.16043i	−0.190688	+	0.586877i	0.809312	+	0.587379i	$0.199840\pi$
$30$	−0.958433	−	0.300153i	−0.174985	−	0.0548002i
$31$	−0.456498	+	0.331666i	−0.0819895	+	0.0595689i	−0.628025	−	0.778193i	$-0.716136\pi$
$31$	−0.456498	+	0.331666i	−0.0819895	+	0.0595689i	0.546035	+	0.837762i	$0.316136\pi$
$32$		−	2.63682i		−	0.466128i
$33$	1.20659	+	0.0382919i	0.210040	+	0.00666576i
$34$	4.75241			0.815031
$35$	5.78120	−	0.0616504i	0.977202	−	0.0104208i
$36$	0.422906	+	1.30157i	0.0704843	+	0.216928i
$37$	−0.497006	−	0.161487i	−0.0817073	−	0.0265483i	0.267878	−	0.963453i	$-0.413678\pi$
$37$	−0.497006	−	0.161487i	−0.0817073	−	0.0265483i	−0.349585	+	0.936905i	$0.613678\pi$
$38$	−0.201343	+	0.277125i	−0.0326622	+	0.0449556i
$39$	−0.812523	−	0.590333i	−0.130108	−	0.0945289i
$40$	−5.48687	+	4.07654i	−0.867550	+	0.644557i
$41$	−1.57966	−	4.86168i	−0.246701	−	0.759267i	−0.995352	−	0.0963031i	$-0.969298\pi$
$41$	−1.57966	−	4.86168i	−0.246701	−	0.759267i	0.748651	−	0.662964i	$-0.230702\pi$
$42$	−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	$-0.483058\pi$
$47$	4.68373	−	1.52184i	0.683193	−	0.221983i	0.629993	+	0.776601i	$0.283058\pi$
$48$	0.975398	+	0.316926i	0.140787	+	0.0457443i
$49$	−0.254663	−	0.185023i	−0.0363804	−	0.0264319i
$50$	5.90731	+	1.78105i	0.835420	+	0.251879i
$51$	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	−0.999904	−	0.0138718i	$-0.995584\pi$
$53$	−5.12599	−	7.05533i	−0.704109	−	0.969123i	0.295794	−	0.955252i	$-0.404416\pi$
$54$	−2.63541			−0.358633
$55$	−7.41455	−	0.156185i	−0.999778	−	0.0210600i
$56$	−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	0.678751	+	0.734369i	$0.262522\pi$
$59$	−2.31987	+	7.13983i	−0.302021	+	0.929526i	−0.980772	+	0.195157i	$0.937478\pi$
$60$	0.123966	+	0.368124i	0.0160039	+	0.0475246i
$61$	−11.4711	−	8.33424i	−1.46872	−	1.06709i	−0.980981	−	0.194103i	$-0.937820\pi$
$61$	−11.4711	−	8.33424i	−1.46872	−	1.06709i	−0.487743	−	0.872987i	$-0.662180\pi$
$62$	−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
$70$	4.25479	+	5.72678i	0.508544	+	0.684482i
$71$	6.79655	+	4.93798i	0.806602	+	0.586030i	0.912843	−	0.408310i	$-0.133882\pi$
$71$	6.79655	+	4.93798i	0.806602	+	0.586030i	−0.106242	+	0.994340i	$0.533882\pi$
$72$	−5.15239	+	7.09166i	−0.607216	+	0.835761i
$73$	12.3973	+	4.02812i	1.45099	+	0.471455i	0.925305	−	0.379224i	$-0.123809\pi$
$73$	12.3973	+	4.02812i	1.45099	+	0.471455i	0.525685	+	0.850679i	$0.323809\pi$
$74$	−0.199274	−	0.613302i	−0.0231651	−	0.0712949i
$75$	1.03808	−	1.49482i	0.119867	−	0.172607i
$76$	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	−0.0508259	−	0.998708i	$-0.516185\pi$
$79$	7.85090	−	5.70401i	0.883295	−	0.641752i	0.934121	+	0.356956i	$0.116185\pi$
$80$	−6.01262	−	1.88298i	−0.672232	−	0.210523i
$81$	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	$-0.857916\pi$
$83$	−1.93792	+	2.66732i	−0.212715	+	0.292776i	0.689305	+	0.724471i	$0.257916\pi$
$84$	−0.138796	+	0.427169i	−0.0151438	+	0.0466079i
$85$	−2.57366	+	8.21806i	−0.279152	+	0.891374i
$86$	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	$0.542100\pi$
$90$	7.91187	−	0.0843717i	0.833984	−	0.00889356i
$91$	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
$95$	−0.370180	−	0.498248i	−0.0379796	−	0.0511192i
$96$	−0.296581	−	0.912781i	−0.0302696	−	0.0931604i
$97$	6.40771	+	8.81946i	0.650605	+	0.895480i	0.999125	−	0.0418208i	$-0.0133159\pi$
$97$	6.40771	+	8.81946i	0.650605	+	0.895480i	−0.348521	+	0.937301i	$0.613316\pi$
$98$		−	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	−0.983286	−	0.182068i	$-0.941721\pi$
$101$	−11.1954	+	8.13391i	−1.11398	+	0.809355i	−0.130695	+	0.991423i	$0.541721\pi$
$102$	1.64513	−	0.534535i	0.162892	−	0.0529269i
$103$	−12.7346	−	4.13771i	−1.25477	−	0.407700i	−0.395144	−	0.918619i	$-0.629305\pi$
$103$	−12.7346	−	4.13771i	−1.25477	−	0.407700i	−0.859629	+	0.510919i	$0.829305\pi$
$104$	−6.82402	−	4.95794i	−0.669150	−	0.486166i
$105$	1.99433	−	0.671592i	0.194627	−	0.0655407i
$106$	3.32548	−	10.2348i	0.322999	−	0.994090i
$107$	−9.75728	+	3.17033i	−0.943272	+	0.306488i	−0.739979	−	0.672630i	$-0.765164\pi$
$107$	−9.75728	+	3.17033i	−0.943272	+	0.306488i	−0.203293	+	0.979118i	$0.565164\pi$
$108$	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	$0.423931\pi$
$110$	−5.22202	−	7.51539i	−0.497901	−	0.716565i
$111$	−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	$-0.754589\pi$
$113$	−9.43836	+	3.06671i	−0.887886	+	0.288492i	−0.170658	+	0.985330i	$0.554589\pi$
$114$	−0.0385284	+	0.118578i	−0.00360852	+	0.0111059i
$115$	−5.99569	−	17.8046i	−0.559101	−	1.66028i
$116$	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
$125$	−6.27897	+	9.25065i	−0.561608	+	0.827403i
$126$	7.40175	+	5.37769i	0.659400	+	0.479082i
$127$	6.54543	−	9.00901i	0.580813	−	0.799420i	−0.412972	−	0.910744i	$-0.635509\pi$
$127$	6.54543	−	9.00901i	0.580813	−	0.799420i	0.993784	+	0.111324i	$0.0355091\pi$
$128$	5.41684	+	1.76004i	0.478786	+	0.155567i
$129$	−0.286205	−	0.880848i	−0.0251989	−	0.0775544i
$130$	0.0811874	+	7.61327i	0.00712061	+	0.667728i
$131$	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
$135$	1.42720	−	4.55726i	0.122834	−	0.392226i
$136$	3.63804	−	11.1967i	0.311959	−	0.960112i
$137$	−2.55455	+	3.51604i	−0.218250	+	0.300395i	−0.904077	−	0.427369i	$-0.859441\pi$
$137$	−2.55455	+	3.51604i	−0.218250	+	0.300395i	0.685827	+	0.727764i	$0.259441\pi$
$138$	−2.21811	+	3.05297i	−0.188818	+	0.259886i
$139$	2.56560	−	7.89611i	0.217612	−	0.669739i	−0.781346	−	0.624098i	$-0.785467\pi$
$139$	2.56560	−	7.89611i	0.217612	−	0.669739i	0.998958	−	0.0456418i	$-0.0145333\pi$
$140$	0.824637	−	2.63319i	0.0696945	−	0.222545i
$141$	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
$145$	−0.0792351	−	7.43019i	−0.00658012	−	0.617044i
$146$	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	0.831884	−	0.554949i	$-0.187262\pi$
$149$	6.84987	+	4.97672i	0.561163	+	0.407709i	−0.270721	+	0.962658i	$0.587262\pi$
$150$	2.24525	−	0.0478918i	0.183324	−	0.00391035i
$151$	3.43080	+	10.5589i	0.279195	+	0.859273i	0.988079	+	0.153948i	$0.0491988\pi$
$151$	3.43080	+	10.5589i	0.279195	+	0.859273i	−0.708884	+	0.705325i	$0.750801\pi$
$152$	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	$-0.785118\pi$
$157$	−13.0925	+	4.25400i	−1.04489	+	0.339506i	−0.264231	+	0.964459i	$0.585118\pi$
$158$	11.3889	+	3.70047i	0.906051	+	0.294394i
$159$	−2.56801	−	1.86577i	−0.203657	−	0.147965i
$160$	1.88169	+	5.58778i	0.148761	+	0.441753i
$161$	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	$-0.0861293\pi$
$163$	5.25535	+	7.23337i	0.411631	+	0.566561i	−0.551985	+	0.833854i	$0.686129\pi$
$164$	−2.43969			−0.190508
$165$	−2.58425	+	0.779898i	−0.201183	+	0.0607150i
$166$	−4.06846			−0.315774
$167$	9.94425	+	13.6871i	0.769509	+	1.05914i	0.996363	+	0.0852095i	$0.0271560\pi$
$167$	9.94425	+	13.6871i	0.769509	+	1.05914i	−0.226854	+	0.973929i	$0.572844\pi$
$168$	−2.73608	+	0.889007i	−0.211093	+	0.0685883i
$169$	1.66446	−	5.12268i	0.128035	−	0.394052i
$170$	−10.0710	+	3.39141i	−0.772411	+	0.260110i
$171$	−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	$-0.558989\pi$
$173$	3.21447	−	1.04445i	0.244392	−	0.0794077i	0.428652	+	0.903470i	$0.358989\pi$
$174$	−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	−0.973952	−	0.226755i	$-0.927188\pi$
$179$	−4.27183	−	13.1473i	−0.319291	−	0.982678i	0.654660	−	0.755923i	$-0.272812\pi$
$180$	−1.82502	−	2.45641i	−0.136029	−	0.183090i
$181$	2.10264	+	1.52766i	0.156288	+	0.113550i	0.663181	−	0.748459i	$-0.269206\pi$
$181$	2.10264	+	1.52766i	0.156288	+	0.113550i	−0.506893	+	0.862009i	$0.669206\pi$
$182$	−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
$185$	1.16846	−	0.0124604i	0.0859072	−	0.000916109i
$186$	−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
$190$	0.228912	−	0.730949i	0.0166070	−	0.0530286i
$191$	0.685498	−	2.10975i	0.0496009	−	0.152656i	−0.923188	−	0.384348i	$-0.874426\pi$
$191$	0.685498	−	2.10975i	0.0496009	−	0.152656i	0.972789	+	0.231692i	$0.0744262\pi$
$192$	1.90179	−	2.61759i	0.137250	−	0.188908i
$193$	6.15791	−	8.47564i	0.443256	−	0.610090i	−0.527676	−	0.849446i	$-0.676936\pi$
$193$	6.15791	−	8.47564i	0.443256	−	0.610090i	0.970932	+	0.239356i	$0.0769364\pi$
$194$	−4.15700	+	12.7939i	−0.298455	+	0.918550i
$195$	2.14312	+	0.671163i	0.153472	+	0.0480630i
$196$	−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	$0.440958\pi$
$200$	8.71833	−	12.5543i	0.616479	−	0.887722i
$201$	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
$205$	6.81691	+	9.17530i	0.476113	+	0.640831i
$206$	−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	−0.972886	−	0.231287i	$-0.925706\pi$
$211$	−15.3038	+	11.1189i	−1.05356	+	0.765454i	−0.0806716	+	0.996741i	$0.525706\pi$
$212$	−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
$215$	1.81586	+	5.39230i	0.123841	+	0.367752i
$216$	−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
$220$	−1.16440	+	3.34244i	−0.0785040	+	0.225347i
$221$	−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	$-0.338429\pi$
$223$	20.8018	−	6.75890i	1.39299	−	0.452610i	0.906917	+	0.421309i	$0.138429\pi$
$224$	−2.10679	+	6.48402i	−0.140766	+	0.433232i
$225$	−4.13876	+	13.7272i	−0.275917	+	0.915149i
$226$	−9.90742	−	7.19816i	−0.659032	−	0.478815i
$227$	−2.31929	−	0.753584i	−0.153937	−	0.0500171i	0.231035	−	0.972945i	$-0.425789\pi$
$227$	−2.31929	−	0.753584i	−0.153937	−	0.0500171i	−0.384972	+	0.922928i	$0.625789\pi$
$228$	0.0458614	−	0.0149013i	0.00303724	−	0.000986860i
$229$	5.90678	−	4.29153i	0.390331	−	0.283592i	−0.375260	−	0.926920i	$-0.622447\pi$
$229$	5.90678	−	4.29153i	0.390331	−	0.283592i	0.765591	+	0.643327i	$0.222447\pi$
$230$	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	$-0.153348\pi$
$233$	2.62053	+	3.60685i	0.171676	+	0.236292i	−0.714505	+	0.699630i	$0.753348\pi$
$234$	3.01717	+	9.28588i	0.197238	+	0.607037i
$235$	−8.83946	+	6.56739i	−0.576623	+	0.428409i
$236$	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	−0.834542	−	0.550944i	$-0.814268\pi$
$239$	−7.47040	−	22.9915i	−0.483220	−	1.48720i	0.351322	−	0.936255i	$-0.385732\pi$
$240$	−2.29317	+	0.0244542i	−0.148023	+	0.00157851i
$241$	−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
$245$	0.671701	+	0.210357i	0.0429134	+	0.0134392i
$246$	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
$250$	−13.7894	+	0.441282i	−0.872119	+	0.0279091i
$251$	0.433947	−	0.315281i	0.0273905	−	0.0199004i	−0.574006	−	0.818851i	$-0.694611\pi$
$251$	0.433947	−	0.315281i	0.0273905	−	0.0199004i	0.601396	+	0.798951i	$0.294611\pi$
$252$		−	3.53850i		−	0.222904i
$253$	−9.44724	+	26.2153i	−0.593943	+	1.64814i
$254$	13.7414			0.862214
$255$	0.0334240	+	3.13430i	0.00209309	+	0.196278i
$256$	−3.32196	−	10.2240i	−0.207623	−	0.638997i
$257$	22.5590	+	7.32987i	1.40719	+	0.457224i	0.911509	−	0.411279i	$-0.134918\pi$
$257$	22.5590	+	7.32987i	1.40719	+	0.457224i	0.495683	+	0.868504i	$0.334918\pi$
$258$	0.671779	−	0.924624i	0.0418231	−	0.0575646i
$259$	1.09313	+	0.794203i	0.0679236	+	0.0493494i
$260$	2.36370	−	1.75614i	0.146591	−	0.108911i
$261$	−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	0.991633	+	0.129087i	$0.0412047\pi$
$269$	23.3034	+	16.9309i	1.42083	+	1.03230i	0.429201	+	0.903209i	$0.358795\pi$
$270$	5.58479	−	1.88068i	0.339879	−	0.114455i
$271$	−4.96782	+	15.2894i	−0.301773	+	0.928763i	0.679088	+	0.734057i	$0.262375\pi$
$271$	−4.96782	+	15.2894i	−0.301773	+	0.928763i	−0.980862	+	0.194706i	$0.937625\pi$
$272$	10.3205	−	3.35334i	0.625774	−	0.203326i
$273$	1.52635	+	2.10084i	0.0923790	+	0.127149i
$274$	−5.36301			−0.323992
$275$	15.8239	−	4.96020i	0.954218	−	0.299111i
$276$	1.45951			0.0878522
$277$	−10.5824	−	14.5654i	−0.635832	−	0.875148i	0.362552	−	0.931963i	$-0.381905\pi$
$277$	−10.5824	−	14.5654i	−0.635832	−	0.875148i	−0.998385	+	0.0568151i	$0.981905\pi$
$278$	9.74375	−	3.16594i	0.584391	−	0.189880i
$279$	0.500000	−	1.53884i	0.0299342	−	0.0921280i
$280$	16.7495	−	5.64040i	1.00097	−	0.337078i
$281$	−11.0957	−	8.06146i	−0.661911	−	0.480907i	0.205397	−	0.978679i	$-0.434152\pi$
$281$	−11.0957	−	8.06146i	−0.661911	−	0.480907i	−0.867308	+	0.497772i	$0.834152\pi$
$282$	2.10371	+	0.683536i	0.125274	+	0.0407040i
$283$	−19.5009	+	6.33621i	−1.15921	+	0.376649i	−0.824604	−	0.565711i	$-0.808602\pi$
$283$	−19.5009	+	6.33621i	−1.15921	+	0.376649i	−0.334602	+	0.942360i	$0.608602\pi$
$284$	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
$290$	7.36025	−	5.46839i	0.432209	−	0.321115i
$291$	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	$-0.627204\pi$
$293$	−21.3163	−	6.92608i	−1.24531	−	0.404626i	−0.856238	+	0.516581i	$0.827204\pi$
$294$	−0.0436901	−	0.134464i	−0.00254806	−	0.00784212i
$295$	−0.179003	−	16.7858i	−0.0104219	−	0.977306i
$296$	−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
$300$	−0.525402	−	0.691642i	−0.0303341	−	0.0399319i
$301$	−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
$305$	30.2563	+	9.47540i	1.73247	+	0.542560i
$306$	−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
$310$	1.55688	−	0.0166025i	0.0884248	−	0.000942957i
$311$	−2.70662	−	8.33012i	−0.153478	−	0.472358i	0.844525	−	0.535516i	$-0.179883\pi$
$311$	−2.70662	−	8.33012i	−0.153478	−	0.472358i	−0.998004	+	0.0631580i	$0.979883\pi$
$312$	−2.91991	−	0.948735i	−0.165307	−	0.0537116i
$313$	−1.01759	+	1.40060i	−0.0575177	+	0.0791664i	−0.836807	−	0.547498i	$-0.815580\pi$
$313$	−1.01759	+	1.40060i	−0.0575177	+	0.0791664i	0.779289	+	0.626664i	$0.215580\pi$
$314$	−13.7431	−	9.98497i	−0.775570	−	0.563485i
$315$	−13.3077	+	9.88715i	−0.749805	+	0.557078i
$316$	−1.43120	−	4.40477i	−0.0805111	−	0.247788i
$317$	−10.2724	−	14.1387i	−0.576954	−	0.794109i	0.416403	−	0.909180i	$-0.363290\pi$
$317$	−10.2724	−	14.1387i	−0.576954	−	0.794109i	−0.993357	+	0.115071i	$0.963290\pi$
$318$		−	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
$325$	−13.2092	−	3.98256i	−0.732712	−	0.220913i
$326$	−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
$330$	−2.65300	−	2.01423i	−0.146043	−	0.110880i
$331$	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
$335$	−2.28800	−	6.79434i	−0.125007	−	0.371215i
$336$	−2.14531	−	1.55866i	−0.117036	−	0.0850320i
$337$	−11.2794	−	3.66490i	−0.614428	−	0.199640i	−0.0147629	−	0.999891i	$-0.504699\pi$
$337$	−11.2794	−	3.66490i	−0.614428	−	0.199640i	−0.599665	+	0.800251i	$0.704699\pi$
$338$	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
$345$	−4.07811	−	5.48899i	−0.219558	−	0.295517i
$346$	3.37422	+	2.45152i	0.181399	+	0.131794i
$347$	−13.1100	+	18.0444i	−0.703781	+	0.968672i	0.296127	+	0.955148i	$0.404305\pi$
$347$	−13.1100	+	18.0444i	−0.703781	+	0.968672i	−0.999909	+	0.0135232i	$0.995695\pi$
$348$	0.549011	+	0.178385i	0.0294301	+	0.00956242i
$349$	−4.93434	−	15.1863i	−0.264129	−	0.812906i	−0.991893	−	0.127078i	$-0.959440\pi$
$349$	−4.93434	−	15.1863i	−0.264129	−	0.812906i	0.727763	−	0.685828i	$-0.240560\pi$
$350$	−13.1032	−	9.09954i	−0.700397	−	0.486391i
$351$	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
$355$	−17.9267	−	5.61410i	−0.951449	−	0.297966i
$356$	−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	0.635653	+	0.771975i	$0.280731\pi$
$359$	−6.29726	+	19.3810i	−0.332357	+	1.02289i	−0.968010	+	0.250913i	$0.919269\pi$
$360$	5.85788	−	18.7051i	0.308737	−	0.985844i
$361$	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
$365$	−29.1461	+	0.310812i	−1.52557	+	0.0162686i
$366$	−1.96799	−	6.05685i	−0.102869	−	0.316597i
$367$	−5.13979	−	1.67002i	−0.268295	−	0.0871744i	0.171780	−	0.985135i	$-0.445048\pi$
$367$	−5.13979	−	1.67002i	−0.268295	−	0.0871744i	−0.440075	+	0.897961i	$0.645048\pi$
$368$	−13.9151	+	19.1525i	−0.725374	+	0.998392i
$369$	11.8589	+	8.61599i	0.617349	+	0.448530i
$370$	0.859954	+	1.15747i	0.0447069	+	0.0601738i
$371$	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	0.394770	−	0.918780i	$-0.370824\pi$
$379$	−6.95104	−	5.05023i	−0.357051	−	0.259413i	−0.751821	+	0.659367i	$0.770824\pi$
$380$	−0.280750	+	0.0945427i	−0.0144022	+	0.00484994i
$381$	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	$-0.120540\pi$
$383$	5.68364	+	7.82286i	0.290420	+	0.399729i	−0.638730	+	0.769431i	$0.720540\pi$
$384$	2.07310			0.105792
$385$	18.1078	+	6.30820i	0.922861	+	0.321496i
$386$	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	−0.470475	−	0.882414i	$-0.655917\pi$
$389$	8.45759	−	26.0298i	0.428817	−	1.31976i	0.899292	−	0.437350i	$-0.144083\pi$
$390$	0.884420	+	2.62634i	0.0447843	+	0.132990i
$391$	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
$400$	14.0853	−	0.300444i	0.704266	−	0.0150222i
$401$	−11.0953	−	8.06124i	−0.554075	−	0.402559i	0.275210	−	0.961384i	$-0.411252\pi$
$401$	−11.0953	−	8.06124i	−0.554075	−	0.402559i	−0.829286	+	0.558825i	$0.811252\pi$
$402$	−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
$405$	0.186584	+	17.4967i	0.00927142	+	0.869418i
$406$	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	−0.936505	−	0.350655i	$-0.885959\pi$
$409$	−18.0478	+	13.1125i	−0.892408	+	0.648372i	0.0440970	+	0.999027i	$0.485959\pi$
$410$	−4.21544	+	13.4605i	−0.208186	+	0.664768i
$411$	−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
$415$	2.20327	−	7.03536i	0.108154	−	0.345352i
$416$	−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	$0.496029\pi$
$420$	−0.0107095	−	1.00428i	−0.000522573	−	0.0490037i
$421$	4.08365	+	12.5682i	0.199025	+	0.612536i	0.999906	+	0.0137124i	$0.00436492\pi$
$421$	4.08365	+	12.5682i	0.199025	+	0.612536i	−0.800881	+	0.598824i	$0.795635\pi$
$422$	−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
$425$	−0.410647	−	19.2518i	−0.0199193	−	0.933851i
$426$	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	0.158000	−	0.987439i	$-0.449495\pi$
$431$	23.7902	−	17.2846i	1.14594	−	0.832571i	0.987935	+	0.154868i	$0.0494952\pi$
$432$	−5.72316	+	1.85957i	−0.275356	+	0.0894685i
$433$	9.71650	+	3.15708i	0.466945	+	0.151720i	0.533034	−	0.846094i	$-0.321052\pi$
$433$	9.71650	+	3.15708i	0.466945	+	0.151720i	−0.0660883	+	0.997814i	$0.521052\pi$
$434$	1.45650	+	1.05821i	0.0699142	+	0.0507956i
$435$	−0.863152	−	2.56318i	−0.0413850	−	0.122895i
$436$	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	$0.488352\pi$
$440$	−21.7039	+	6.55001i	−1.03469	+	0.312260i
$441$	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	$-0.574319\pi$
$443$	3.22650	−	1.04835i	0.153296	−	0.0498088i	0.384660	+	0.923058i	$0.374319\pi$
$444$	−0.0280526	+	0.0863370i	−0.00133132	+	0.00409737i
$445$	5.27290	−	1.77565i	0.249959	−	0.0841740i
$446$	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	−0.997263	−	0.0739317i	$-0.976445\pi$
$449$	−26.1718	+	19.0149i	−1.23512	+	0.897368i	−0.237858	+	0.971300i	$0.576445\pi$
$450$	−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
$455$	−9.51399	−	12.8055i	−0.446023	−	0.600330i
$456$	0.249878	+	0.181547i	0.0117016	+	0.00850171i
$457$	7.15509	−	9.84814i	0.334701	−	0.460676i	−0.608183	−	0.793797i	$-0.708101\pi$
$457$	7.15509	−	9.84814i	0.334701	−	0.460676i	0.942884	+	0.333120i	$0.108101\pi$
$458$	8.56865	+	2.78412i	0.400387	+	0.130094i
$459$	2.54166	+	7.82243i	0.118635	+	0.365120i
$460$	−8.96577	+	0.0956104i	−0.418031	+	0.00445786i
$461$	−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
$465$	0.137250	−	0.438259i	0.00636481	−	0.0203238i
$466$	−1.70006	+	5.23226i	−0.0787539	+	0.242380i
$467$	17.9188	−	24.6632i	0.829185	−	1.14128i	−0.158889	−	0.987296i	$-0.550791\pi$
$467$	17.9188	−	24.6632i	0.829185	−	1.14128i	0.988074	−	0.153979i	$-0.0492087\pi$
$468$	2.21961	−	3.05504i	0.102602	−	0.141219i
$469$	2.56170	−	7.88411i	0.118288	−	0.364054i
$470$	−12.9678	−	4.06115i	−0.598162	−	0.187327i
$471$	−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
$475$	1.14002	+	0.791688i	0.0523078	+	0.0363251i
$476$	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	0.815655	−	0.578539i	$-0.196377\pi$
$479$	11.3257	+	8.22857i	0.517482	+	0.375973i	−0.298172	+	0.954512i	$0.596377\pi$
$480$	1.27988	+	1.72266i	0.0584180	+	0.0786285i
$481$	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	$-0.881402\pi$
$487$	−32.4606	+	10.5471i	−1.47093	+	0.477934i	−0.539541	+	0.841960i	$0.681402\pi$
$488$	−41.2229	−	13.3941i	−1.86607	−	0.606324i
$489$	2.63282	+	1.91285i	0.119060	+	0.0865022i
$490$	0.277196	+	0.823151i	0.0125225	+	0.0371862i
$491$	−0.987097	+	3.03797i	−0.0445470	+	0.137102i	−0.970856	−	0.239662i	$-0.922963\pi$
$491$	−0.987097	+	3.03797i	−0.0445470	+	0.137102i	0.926309	+	0.376764i	$0.122963\pi$
$492$	−0.844543	+	0.274409i	−0.0380750	+	0.0123713i
$493$	7.52244	+	10.3538i	0.338794	+	0.466310i
$494$	0.945184			0.0425258
$495$	17.4640	−	12.1348i	0.784951	−	0.545418i
$496$	−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	−0.986004	−	0.166724i	$-0.946681\pi$
$499$	−2.01742	+	6.20897i	−0.0903120	+	0.277952i	0.895692	+	0.444676i	$0.146681\pi$
$500$	3.27285	+	4.21433i	0.146366	+	0.188471i
$501$	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	$-0.592876\pi$
$503$	0.954737	−	0.310213i	0.0425696	−	0.0138317i	0.330224	+	0.943902i	$0.392876\pi$
$504$	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	0.976051	−	0.217542i	$-0.0698041\pi$
$509$	1.32074	+	4.06483i	0.0585409	+	0.180170i	−0.917510	+	0.397713i	$0.869804\pi$
$510$	−3.10480	+	2.30675i	−0.137483	+	0.102145i
$511$	−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
$515$	29.9390	−	0.319268i	1.31927	−	0.0140686i
$516$	−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
$520$	17.9991	+	5.63679i	0.789313	+	0.247190i
$521$	−3.05561	+	9.40421i	−0.133869	+	0.412006i	−0.995412	−	0.0956779i	$-0.969498\pi$
$521$	−3.05561	+	9.40421i	−0.133869	+	0.412006i	0.861544	+	0.507684i	$0.169498\pi$
$522$	6.91158	−	9.51297i	0.302512	−	0.416371i
$523$	−25.9607	+	35.7318i	−1.13518	+	1.56244i	−0.357351	+	0.933970i	$0.616320\pi$
$523$	−25.9607	+	35.7318i	−1.13518	+	1.56244i	−0.777831	+	0.628474i	$0.783680\pi$
$524$	1.49914	−	4.61387i	0.0654901	−	0.201558i
$525$	−3.74700	+	2.84639i	−0.163533	+	0.124227i
$526$	−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
$530$	0.256596	+	24.0620i	0.0111458	+	1.04519i
$531$	−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
$535$	18.4146	−	13.6814i	0.796133	−	0.591497i
$536$	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	−0.152845	−	0.988250i	$-0.548844\pi$
$541$	17.2074	−	12.5019i	0.739805	−	0.537499i	0.892650	+	0.450751i	$0.148844\pi$
$542$	−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
$545$	−10.4741	+	3.52715i	−0.448661	+	0.151087i
$546$	−0.990219	+	3.04758i	−0.0423775	+	0.130424i
$547$	−3.93160	+	1.27746i	−0.168103	+	0.0546201i	−0.391859	−	0.920025i	$-0.628168\pi$
$547$	−3.93160	+	1.27746i	−0.168103	+	0.0546201i	0.223756	+	0.974645i	$0.428168\pi$
$548$	1.21919	+	1.67806i	0.0520810	+	0.0716834i
$549$	40.6587			1.73527
$550$	16.4293	+	12.1996i	0.700549	+	0.520193i
$551$	−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
$555$	0.403083	−	0.135738i	0.0171099	−	0.00576178i
$556$	−3.20568	−	2.32906i	−0.135951	−	0.0987742i
$557$	30.1172	+	9.78568i	1.27611	+	0.414633i	0.867208	−	0.497947i	$-0.165912\pi$
$557$	30.1172	+	9.78568i	1.27611	+	0.414633i	0.408900	+	0.912579i	$0.365912\pi$
$558$	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	$-0.286563\pi$
$563$	−7.49233	−	10.3123i	−0.315764	−	0.434612i	−0.937168	+	0.348879i	$0.886563\pi$
$564$	−0.264365	−	0.813631i	−0.0111318	−	0.0342600i
$565$	17.8127	−	13.2342i	0.749387	−	0.556766i
$566$	−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	−0.999805	−	0.0197396i	$-0.993716\pi$
$569$	−4.83153	−	14.8699i	−0.202548	−	0.623380i	0.797257	−	0.603640i	$-0.206284\pi$
$570$	−0.00297288	−	0.278778i	−0.000124520	−	0.0116767i
$571$	−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
$575$	25.4114	+	33.4517i	1.05973	+	1.39503i
$576$	−7.87684	+	24.2424i	−0.328202	+	1.01010i
$577$	−14.0100	+	19.2831i	−0.583243	+	0.802765i	−0.994046	−	0.108959i	$-0.965248\pi$
$577$	−14.0100	+	19.2831i	−0.583243	+	0.802765i	0.410803	+	0.911724i	$0.365248\pi$
$578$	−1.57246	+	2.16431i	−0.0654058	+	0.0900234i
$579$	1.17836	−	3.62661i	0.0489709	−	0.150717i
$580$	−3.38426	−	1.05985i	−0.140524	−	0.0440079i
$581$	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
$585$	−17.6915	+	0.188661i	−0.731453	+	0.00780017i
$586$	−8.54674	−	26.3042i	−0.353063	−	1.08661i
$587$	−1.18595	−	0.385338i	−0.0489493	−	0.0159046i	0.284440	−	0.958694i	$-0.408192\pi$
$587$	−1.18595	−	0.385338i	−0.0489493	−	0.0159046i	−0.333389	+	0.942789i	$0.608192\pi$
$588$	−0.0321412	+	0.0442385i	−0.00132548	+	0.00182436i
$589$	−0.126720	−	0.0920674i	−0.00522140	−	0.00379357i
$590$	16.6278	−	12.3538i	0.684555	−	0.508599i
$591$	−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	0.983975	−	0.178304i	$-0.0570612\pi$
$599$	27.3738	+	19.8882i	1.11846	+	0.812611i	0.134488	+	0.990915i	$0.457061\pi$
$600$	1.60594	−	5.32650i	0.0655622	−	0.217453i
$601$	−6.58286	+	20.2600i	−0.268520	+	0.826421i	0.722341	+	0.691537i	$0.243066\pi$
$601$	−6.58286	+	20.2600i	−0.268520	+	0.826421i	−0.990861	+	0.134884i	$0.956934\pi$
$602$	−7.72132	+	2.50881i	−0.314698	+	0.102251i
$603$	−5.40397	−	7.43793i	−0.220067	−	0.302896i
$604$	5.29869			0.215601
$605$	−22.9593	−	8.82449i	−0.933427	−	0.358766i
$606$	−6.21547			−0.252486
$607$	22.0185	+	30.3059i	0.893704	+	1.23008i	0.972433	+	0.233182i	$0.0749139\pi$
$607$	22.0185	+	30.3059i	0.893704	+	1.23008i	−0.0787287	+	0.996896i	$0.525086\pi$
$608$	0.696133	−	0.226187i	0.0282319	−	0.00917310i
$609$	0.966407	−	2.97430i	0.0391608	−	0.120525i
$610$	12.4861	+	37.0783i	0.505549	+	1.50126i
$611$	−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	$-0.467623\pi$
$613$	19.0256	−	6.18180i	0.768437	−	0.249680i	0.666896	+	0.745151i	$0.267623\pi$
$614$	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	0.644920	+	0.764250i	$0.276891\pi$
$619$	14.2407	+	43.8285i	0.572384	+	1.76162i	−0.0725362	+	0.997366i	$0.523109\pi$
$620$	−0.359123	−	0.483367i	−0.0144227	−	0.0194125i
$621$	−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
$625$	6.70454	−	24.0842i	0.268182	−	0.963368i
$626$	−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
$630$	−19.5230	−	6.11402i	−0.777813	−	0.243588i
$631$	−6.34658	+	19.5328i	−0.252653	+	0.777587i	0.741629	+	0.670810i	$0.234053\pi$
$631$	−6.34658	+	19.5328i	−0.252653	+	0.777587i	−0.994283	+	0.106778i	$0.965947\pi$
$632$	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
$635$	−7.44165	+	23.7623i	−0.295313	+	0.942977i
$636$	−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
$640$	−12.7350	+	0.135806i	−0.503397	+	0.00536819i
$641$	4.91631	+	15.1309i	0.194183	+	0.597633i	0.999985	+	0.00544856i	$0.00173434\pi$
$641$	4.91631	+	15.1309i	0.194183	+	0.597633i	−0.805802	+	0.592185i	$0.798266\pi$
$642$	−4.38250	−	1.42396i	−0.172963	−	0.0561992i
$643$	24.8656	−	34.2246i	0.980603	−	1.34968i	0.0440996	−	0.999027i	$-0.485958\pi$
$643$	24.8656	−	34.2246i	0.980603	−	1.34968i	0.936504	−	0.350658i	$-0.114042\pi$
$644$	−8.38769	−	6.09402i	−0.330521	−	0.240138i
$645$	1.23510	+	1.66240i	0.0486320	+	0.0654568i
$646$	0.407663	+	1.25466i	0.0160393	+	0.0493639i
$647$	−4.40187	−	6.05866i	−0.173055	−	0.238190i	0.713675	−	0.700477i	$-0.247029\pi$
$647$	−4.40187	−	6.05866i	−0.173055	−	0.238190i	−0.886731	+	0.462286i	$0.847029\pi$
$648$		−	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	$-0.295556\pi$
$653$	15.6641	+	5.08959i	0.612985	+	0.199171i	0.0139618	+	0.999903i	$0.495556\pi$
$654$	1.79601	+	1.30487i	0.0702294	+	0.0510246i
$655$	−21.5409	+	7.25390i	−0.841672	+	0.283433i
$656$	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	$0.652979\pi$
$660$	−0.0271316	+	1.28801i	−0.00105610	+	0.0501358i
$661$	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
$665$	0.512190	+	1.52098i	0.0198619	+	0.0589809i
$666$	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	−0.843030	−	0.537867i	$-0.819230\pi$
$673$	−28.3824	−	39.0650i	−1.09406	−	1.50585i	−0.251031	−	0.967979i	$-0.580770\pi$
$674$	−4.52246	−	13.9187i	−0.174199	−	0.536128i
$675$	0.227721	+	10.6759i	0.00876498	+	0.410917i
$676$	−2.07971	−	1.51100i	−0.0799889	−	0.0581154i
$677$	−14.3206	+	19.7107i	−0.550387	+	0.757543i	−0.990065	−	0.140613i	$-0.955093\pi$
$677$	−14.3206	+	19.7107i	−0.550387	+	0.757543i	0.439678	+	0.898156i	$0.355093\pi$
$678$	−4.23926	−	1.37742i	−0.162808	−	0.0528994i
$679$	−8.71013	−	26.8070i	−0.334264	−	1.02876i
$680$	0.280713	+	26.3236i	0.0107649	+	1.00946i
$681$	−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
$685$	2.90433	−	9.27395i	0.110969	−	0.354340i
$686$	−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
$690$	2.52183	−	8.05256i	0.0960043	−	0.306556i
$691$	−4.78820	+	3.47883i	−0.182152	+	0.132341i	−0.675125	−	0.737704i	$-0.735910\pi$
$691$	−4.78820	+	3.47883i	−0.182152	+	0.132341i	0.492973	+	0.870045i	$0.335910\pi$
$692$		−	1.61309i		−	0.0613205i
$693$	24.5777	+	0.779993i	0.933630	+	0.0296295i
$694$	−27.5230			−1.04476
$695$	0.197963	+	18.5638i	0.00750918	+	0.704166i
$696$	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
$700$	0.131577	+	6.16856i	0.00497316	+	0.233150i
$701$	3.69808	+	11.3815i	0.139675	+	0.429874i	0.996288	−	0.0860851i	$-0.0274357\pi$
$701$	3.69808	+	11.3815i	0.139675	+	0.429874i	−0.856613	+	0.515959i	$0.827436\pi$
$702$	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	0.686394	−	0.727230i	$-0.259193\pi$
$709$	5.50819	+	4.00194i	0.206865	+	0.150296i	−0.479529	+	0.877526i	$0.659193\pi$
$710$	−7.39794	−	21.9686i	−0.277640	−	0.824468i
$711$	−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
$715$	11.6768	+	16.8049i	0.436688	+	0.628469i
$716$	−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	−0.883377	−	0.468663i	$-0.844736\pi$
$719$	2.86277	−	8.81069i	0.106763	−	0.328583i	0.990140	+	0.140080i	$0.0447359\pi$
$720$	17.1222	−	5.76592i	0.638108	−	0.214883i
$721$	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
$730$	−21.4506	−	28.8717i	−0.793923	−	1.06859i
$731$	−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	$-0.331505\pi$
$733$	10.9962	+	3.57287i	0.406152	+	0.131967i	−0.0988140	+	0.995106i	$0.531505\pi$
$734$	−2.06079	−	6.34247i	−0.0760653	−	0.234105i
$735$	0.256182	−	0.00273191i	0.00944940	−	0.000100768i
$736$	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	−0.443962	−	0.896046i	$-0.646427\pi$
$739$	7.36801	−	5.35317i	0.271037	−	0.196920i	0.714998	+	0.699126i	$0.246427\pi$
$740$	0.166671	−	0.532205i	0.00612695	−	0.0195642i
$741$	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	$-0.799573\pi$
$743$	0.0429676	−	0.0591398i	0.00157633	−	0.00216963i	0.809804	+	0.586700i	$0.199573\pi$
$744$	−0.194012	+	0.597108i	−0.00711283	+	0.0218910i
$745$	−18.0673	−	5.65815i	−0.661935	−	0.207299i
$746$	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
$750$	−4.72381	+	1.70374i	−0.172489	+	0.0622120i
$751$	−11.9045	−	36.6384i	−0.434403	−	1.33695i	−0.893697	−	0.448670i	$-0.851898\pi$
$751$	−11.9045	−	36.6384i	−0.434403	−	1.33695i	0.459295	−	0.888284i	$-0.348102\pi$
$752$	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
$755$	−14.8054	−	19.9275i	−0.538824	−	0.725237i
$756$	−0.814385	−	2.50642i	−0.0296189	−	0.0911576i
$757$	16.5530	+	22.7833i	0.601630	+	0.828073i	0.995856	−	0.0909407i	$-0.0289874\pi$
$757$	16.5530	+	22.7833i	0.601630	+	0.828073i	−0.394226	+	0.919013i	$0.628987\pi$
$758$		−	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	−0.0643631	−	0.997927i	$-0.520502\pi$
$761$	23.8575	−	17.3335i	0.864832	−	0.628337i	0.929195	+	0.369589i	$0.120502\pi$
$762$	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
$765$	−7.88087	−	23.4027i	−0.284933	−	0.846126i
$766$	−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	$0.548536\pi$
$770$	6.83642	+	22.6529i	0.246367	+	0.816355i
$771$	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	$-0.605138\pi$
$773$	−0.853557	+	0.277338i	−0.0307003	+	0.00997514i	0.293627	+	0.955920i	$0.405138\pi$
$774$	−2.78238	+	8.56327i	−0.100010	+	0.307800i
$775$	−0.814415	+	2.70121i	−0.0292547	+	0.0970304i
$776$	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
$785$	24.7090	−	18.3579i	0.881902	−	0.655221i
$786$	3.69364	+	2.68359i	0.131748	+	0.0957205i
$787$	22.2187	−	30.5814i	0.792010	−	1.09011i	−0.201844	−	0.979418i	$-0.564694\pi$
$787$	22.2187	−	30.5814i	0.792010	−	1.09011i	0.993855	−	0.110691i	$-0.0353065\pi$
$788$	−0.602175	−	0.195659i	−0.0214516	−	0.00697005i
$789$	0.559733	+	1.72268i	0.0199270	+	0.0613290i
$790$	−26.7753	+	0.285531i	−0.952624	+	0.0101587i
$791$	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
$795$	6.77343	+	2.12124i	0.240229	+	0.0752326i
$796$	0.767377	−	2.36174i	0.0271990	−	0.0837098i
$797$	−8.92880	+	12.2894i	−0.316274	+	0.435314i	−0.937325	−	0.348456i	$-0.886706\pi$
$797$	−8.92880	+	12.2894i	−0.316274	+	0.435314i	0.621051	+	0.783770i	$0.286706\pi$
$798$	0.189485	−	0.260804i	0.00670770	−	0.00923236i
$799$	5.86096	−	18.0382i	0.207346	−	0.638145i
$800$	−7.97511	−	10.4985i	−0.281963	−	0.371177i
$801$	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
$805$	0.517974	+	48.5725i	0.0182562	+	1.71195i
$806$	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	−0.143893	−	0.989593i	$-0.545962\pi$
$809$	−32.1268	−	23.3415i	−1.12952	−	0.820643i	−0.985625	+	0.168951i	$0.945962\pi$
$810$	−17.3320	+	12.8770i	−0.608984	+	0.452453i
$811$	2.72454	+	8.38527i	0.0956715	+	0.294447i	0.987428	−	0.158069i	$-0.0505268\pi$
$811$	2.72454	+	8.38527i	0.0956715	+	0.294447i	−0.891757	+	0.452515i	$0.850527\pi$
$812$	−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
$820$	5.17005	−	1.74102i	0.180546	−	0.0607989i
$821$	−2.60214	+	8.00856i	−0.0908153	+	0.279501i	−0.986141	−	0.165912i	$-0.946943\pi$
$821$	−2.60214	+	8.00856i	−0.0908153	+	0.279501i	0.895325	+	0.445413i	$0.146943\pi$
$822$	−1.85650	+	0.603214i	−0.0647530	+	0.0210395i
$823$	−14.0504	−	19.3388i	−0.489767	−	0.674107i	0.490578	−	0.871397i	$-0.336786\pi$
$823$	−14.0504	−	19.3388i	−0.489767	−	0.674107i	−0.980345	+	0.197291i	$0.936786\pi$
$824$	−40.9319			−1.42593
$825$	4.91982	−	3.49688i	0.171286	−	0.121746i
$826$	23.9526			0.833416
$827$	−27.9268	−	38.4379i	−0.971109	−	1.33662i	−0.941485	−	0.337055i	$-0.890569\pi$
$827$	−27.9268	−	38.4379i	−0.971109	−	1.33662i	−0.0296239	−	0.999561i	$-0.509431\pi$
$828$	−10.9355	+	3.55317i	−0.380036	+	0.123481i
$829$	8.71437	−	26.8201i	0.302663	−	0.931500i	−0.677876	−	0.735176i	$-0.737100\pi$
$829$	8.71437	−	26.8201i	0.302663	−	0.931500i	0.980539	−	0.196324i	$-0.0629004\pi$
$830$	8.62164	−	2.90334i	0.299261	−	0.100776i
$831$	−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	−0.996661	−	0.0816534i	$-0.973980\pi$
$839$	−6.90363	−	21.2472i	−0.238340	−	0.733535i	0.758321	−	0.651881i	$-0.226020\pi$
$840$	5.16372	−	3.83645i	0.178165	−	0.132370i
$841$	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
$845$	0.128431	+	12.0434i	0.00441815	+	0.414307i
$846$	−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
$850$	18.9217	−	14.3738i	0.649008	−	0.493016i
$851$	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	$-0.844572\pi$
$853$	−4.79201	+	6.59563i	−0.164075	+	0.225830i	0.719061	+	0.694947i	$0.244572\pi$
$854$	−13.9798	+	43.0254i	−0.478378	+	1.47230i
$855$	1.69856	+	0.531938i	0.0580895	+	0.0181919i
$856$	−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	$0.515782\pi$
$860$	2.71538	−	0.0289566i	0.0925935	−	0.000987412i
$861$	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	$-0.897464\pi$
$863$	−10.4097	+	14.3277i	−0.354351	+	0.487722i	0.594213	+	0.804308i	$0.297464\pi$
$864$	4.55588	+	3.31004i	0.154994	+	0.112610i
$865$	−6.06657	+	4.50724i	−0.206270	+	0.153251i
$866$	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
$875$	22.8313	−	17.7308i	0.771840	−	0.599411i
$876$	0.699741	−	2.15358i	0.0236421	−	0.0727628i
$877$	48.8651	−	15.8772i	1.65006	−	0.536136i	0.671305	−	0.741181i	$-0.265734\pi$
$877$	48.8651	−	15.8772i	1.65006	−	0.536136i	0.978753	+	0.205045i	$0.0657341\pi$
$878$	1.11197	+	1.53049i	0.0375270	+	0.0516516i
$879$	−8.15803			−0.275164
$880$	−16.6433	−	12.6361i	−0.561046	−	0.425961i
$881$	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	$-0.524797\pi$
$883$	13.2297	−	4.29860i	0.445216	−	0.144660i	0.523041	+	0.852308i	$0.324797\pi$
$884$	−1.56724	+	4.82347i	−0.0527120	+	0.162231i
$885$	−1.94997	−	5.79056i	−0.0655477	−	0.194648i
$886$	3.38685	+	2.46069i	0.113783	+	0.0826685i
$887$	−42.5128	−	13.8133i	−1.42744	−	0.463804i	−0.509483	−	0.860481i	$-0.670163\pi$
$887$	−42.5128	−	13.8133i	−1.42744	−	0.463804i	−0.917958	+	0.396677i	$0.870163\pi$
$888$	−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
$895$	18.4348	+	24.8126i	0.616207	+	0.829392i
$896$	−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
$900$	5.62042	+	3.90310i	0.187347	+	0.130103i
$901$	−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
$905$	−5.54595	−	1.73683i	−0.184354	−	0.0577342i
$906$	−1.54095	+	4.74256i	−0.0511947	+	0.157561i
$907$	−13.4003	+	18.4440i	−0.444950	+	0.612421i	−0.971303	−	0.237845i	$-0.923559\pi$
$907$	−13.4003	+	18.4440i	−0.444950	+	0.612421i	0.526353	+	0.850266i	$0.323559\pi$
$908$	−0.684106	+	0.941591i	−0.0227028	+	0.0312478i
$909$	12.2622	−	37.7392i	0.406712	−	1.25173i
$910$	5.88327	−	18.7861i	0.195028	−	0.622754i
$911$	−30.3887	+	22.0787i	−1.00682	+	0.731499i	−0.963540	−	0.267564i	$-0.913781\pi$
$911$	−30.3887	+	22.0787i	−1.00682	+	0.731499i	−0.0432817	+	0.999063i	$0.513781\pi$
$912$			0.284696i			0.00942722i
$913$	−9.04593	+	6.14352i	−0.299376	+	0.203321i
$914$	15.0214			0.496863
$915$	11.5395	−	0.123057i	0.381485	−	0.00406813i
$916$	−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	0.974053	−	0.226322i	$-0.0726701\pi$
$919$	32.1280	+	23.3424i	1.05981	+	0.769994i	0.0857538	+	0.996316i	$0.472670\pi$
$920$	−34.2502	−	46.0995i	−1.12920	−	1.51986i
$921$	−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	0.827871	−	0.560919i	$-0.189552\pi$
$929$	16.7708	+	12.1847i	0.550231	+	0.399766i	−0.277640	+	0.960685i	$0.589552\pi$
$930$	0.537074	−	0.180860i	0.0176113	−	0.00593063i
$931$	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
$935$	−17.2710	+	22.7481i	−0.564821	+	0.743943i
$936$	24.1874			0.790588
$937$	32.8282	+	45.1841i	1.07245	+	1.47610i	0.867572	+	0.497312i	$0.165680\pi$
$937$	32.8282	+	45.1841i	1.07245	+	1.47610i	0.204877	+	0.978788i	$0.434320\pi$
$938$	9.72893	−	3.16112i	0.317661	−	0.103214i
$939$	−0.194723	+	0.599297i	−0.00635455	+	0.0195573i
$940$	1.67729	+	4.98081i	0.0547072	+	0.162456i
$941$	10.8120	+	7.85541i	0.352462	+	0.256079i	0.749901	−	0.661550i	$-0.230101\pi$
$941$	10.8120	+	7.85541i	0.352462	+	0.256079i	−0.397439	+	0.917629i	$0.630101\pi$
$942$	−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
$950$	0.0365247	+	1.71234i	0.00118502	+	0.0555556i
$951$	−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	$-0.323379\pi$
$953$	13.9985	+	4.54837i	0.453454	+	0.147336i	−0.0733803	+	0.997304i	$0.523379\pi$
$954$	9.53588	+	29.3484i	0.308735	+	0.950190i
$955$	0.0528935	+	4.96003i	0.00171159	+	0.160503i
$956$	−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
$960$	−2.16219	+	6.90419i	−0.0697844	+	0.222832i
$961$	−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
$965$	−7.00107	+	22.3555i	−0.225372	+	0.719648i
$966$	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
$970$	−0.320756	−	30.0786i	−0.0102989	−	0.965765i
$971$	−13.2262	−	40.7060i	−0.424448	−	1.30632i	−0.903522	−	0.428542i	$-0.859027\pi$
$971$	−13.2262	−	40.7060i	−0.424448	−	1.30632i	0.479074	−	0.877775i	$-0.340973\pi$
$972$	−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
$975$	−5.02053	+	0.107089i	−0.160786	+	0.00342961i
$976$	−12.3460	−	37.9970i	−0.395185	−	1.21625i
$977$	7.16932	+	9.86772i	0.229367	+	0.315696i	0.908152	−	0.418640i	$-0.137493\pi$
$977$	7.16932	+	9.86772i	0.229367	+	0.315696i	−0.678785	+	0.734337i	$0.737493\pi$
$978$			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	$-0.327979\pi$
$983$	13.3786	+	4.34697i	0.426711	+	0.138647i	−0.0877853	+	0.996139i	$0.527979\pi$
$984$	−4.60153	−	3.34321i	−0.146692	−	0.106578i
$985$	0.946736	+	2.81139i	0.0301655	+	0.0895783i
$986$	−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
$990$	24.7815	+	8.63310i	0.787608	+	0.274378i
$991$	−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
$995$	−11.0263	+	3.71312i	−0.349558	+	0.117714i
$996$	0.463351	+	0.336645i	0.0146819	+	0.0106670i
$997$	−3.45659	−	1.12311i	−0.109471	−	0.0355694i	0.253769	−	0.967265i	$-0.418330\pi$
$997$	−3.45659	−	1.12311i	−0.109471	−	0.0355694i	−0.363240	+	0.931695i	$0.618330\pi$
$998$	−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.14.3	yes	16
3.2	odd	2		495.2.ba.a.289.2		16
4.3	odd	2		880.2.cd.c.289.2		16
5.2	odd	4		275.2.h.d.201.2		16
5.3	odd	4		275.2.h.d.201.3		16
5.4	even	2	inner	55.2.j.a.14.2	yes	16
11.2	odd	10		605.2.b.f.364.6		8
11.3	even	5		605.2.j.h.269.3		16
11.4	even	5	inner	55.2.j.a.4.2	✓	16
11.5	even	5		605.2.j.h.9.2		16
11.6	odd	10		605.2.j.g.9.3		16
11.7	odd	10		605.2.j.d.444.3		16
11.8	odd	10		605.2.j.g.269.2		16
11.9	even	5		605.2.b.g.364.3		8
11.10	odd	2		605.2.j.d.124.2		16
15.14	odd	2		495.2.ba.a.289.3		16
20.19	odd	2		880.2.cd.c.289.3		16
33.26	odd	10		495.2.ba.a.334.3		16
44.15	odd	10		880.2.cd.c.609.3		16
55.2	even	20		3025.2.a.bk.1.3		8
55.4	even	10	inner	55.2.j.a.4.3	yes	16
55.9	even	10		605.2.b.g.364.6		8
55.13	even	20		3025.2.a.bk.1.6		8
55.14	even	10		605.2.j.h.269.2		16
55.19	odd	10		605.2.j.g.269.3		16
55.24	odd	10		605.2.b.f.364.3		8
55.29	odd	10		605.2.j.d.444.2		16
55.37	odd	20		275.2.h.d.26.2		16
55.39	odd	10		605.2.j.g.9.2		16
55.42	odd	20		3025.2.a.bl.1.6		8
55.48	odd	20		275.2.h.d.26.3		16
55.49	even	10		605.2.j.h.9.3		16
55.53	odd	20		3025.2.a.bl.1.3		8
55.54	odd	2		605.2.j.d.124.3		16
165.59	odd	10		495.2.ba.a.334.2		16
220.59	odd	10		880.2.cd.c.609.2		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
55.2.j.a.4.2	✓	16	11.4	even	5	inner
55.2.j.a.4.3	yes	16	55.4	even	10	inner
55.2.j.a.14.2	yes	16	5.4	even	2	inner
55.2.j.a.14.3	yes	16	1.1	even	1	trivial
275.2.h.d.26.2		16	55.37	odd	20
275.2.h.d.26.3		16	55.48	odd	20
275.2.h.d.201.2		16	5.2	odd	4
275.2.h.d.201.3		16	5.3	odd	4
495.2.ba.a.289.2		16	3.2	odd	2
495.2.ba.a.289.3		16	15.14	odd	2
495.2.ba.a.334.2		16	165.59	odd	10
495.2.ba.a.334.3		16	33.26	odd	10
605.2.b.f.364.3		8	55.24	odd	10
605.2.b.f.364.6		8	11.2	odd	10
605.2.b.g.364.3		8	11.9	even	5
605.2.b.g.364.6		8	55.9	even	10
605.2.j.d.124.2		16	11.10	odd	2
605.2.j.d.124.3		16	55.54	odd	2
605.2.j.d.444.2		16	55.29	odd	10
605.2.j.d.444.3		16	11.7	odd	10
605.2.j.g.9.2		16	55.39	odd	10
605.2.j.g.9.3		16	11.6	odd	10
605.2.j.g.269.2		16	11.8	odd	10
605.2.j.g.269.3		16	55.19	odd	10
605.2.j.h.9.2		16	11.5	even	5
605.2.j.h.9.3		16	55.49	even	10
605.2.j.h.269.2		16	55.14	even	10
605.2.j.h.269.3		16	11.3	even	5
880.2.cd.c.289.2		16	4.3	odd	2
880.2.cd.c.289.3		16	20.19	odd	2
880.2.cd.c.609.2		16	220.59	odd	10
880.2.cd.c.609.3		16	44.15	odd	10
3025.2.a.bk.1.3		8	55.2	even	20
3025.2.a.bk.1.6		8	55.13	even	20
3025.2.a.bl.1.3		8	55.53	odd	20
3025.2.a.bl.1.6		8	55.42	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)

\(f(q)\)	\(=\)	\(q+(0.725323 + 0.998322i) q^{2} +(0.346168 - 0.112477i) q^{3} +(0.147481 - 0.453901i) q^{4} +(-2.11914 + 0.713621i) q^{5} +(0.363371 + 0.264005i) q^{6} +(-2.45903 - 0.798988i) q^{7} +(2.90731 - 0.944641i) q^{8} +(-2.31987 + 1.68548i) q^{9} +O(q^{10})\)	\(q+(0.725323 + 0.998322i) q^{2} +(0.346168 - 0.112477i) q^{3} +(0.147481 - 0.453901i) q^{4} +(-2.11914 + 0.713621i) 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} +(-0.653311 + 0.485386i) 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} +(0.0113798 + 1.06713i) q^{20} -0.941105 q^{21} +(1.14061 + 3.93054i) q^{22} +8.40180i q^{23} +(0.900166 - 0.654009i) q^{24} +(3.98149 - 3.02452i) 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} +(-0.958433 - 0.300153i) q^{30} +(-0.456498 + 0.331666i) q^{31} -2.63682i q^{32} +(1.20659 + 0.0382919i) q^{33} +4.75241 q^{34} +(5.78120 - 0.0616504i) 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} +(-5.48687 + 4.07654i) 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} +(5.90731 + 1.78105i) q^{50} +(0.433175 - 1.33318i) q^{51} +(-1.25245 + 0.406945i) q^{52} +(-5.12599 - 7.05533i) q^{53} -2.63541 q^{54} +(-7.41455 - 0.156185i) q^{55} -7.90392 q^{56} +(0.0593888 + 0.0817417i) q^{57} +(-3.89995 + 1.26717i) q^{58} +(-2.31987 + 7.13983i) q^{59} +(0.123966 + 0.368124i) 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} +(4.25479 + 5.72678i) 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} +(1.03808 - 1.49482i) q^{75} +0.132483 q^{76} +(-6.77427 - 5.25802i) q^{77} -1.23934i q^{78} +(7.85090 - 5.70401i) q^{79} +(-6.01262 - 1.88298i) 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} +(-2.57366 + 8.21806i) q^{85} +(2.54030 - 1.84564i) q^{86} +1.20954i q^{87} +(10.1336 + 0.321596i) q^{88} -2.48823 q^{89} +(7.91187 - 0.0843717i) 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} +(-0.370180 - 0.498248i) 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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