LMFDB - Embedded newform 138.2.e.c.25.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [138,2,Mod(13,138)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(138, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("138.13");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 138 = 2 \cdot 3 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	138.e (of order $11$, degree $10$, 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:	$1.10193554789$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			25.1
Root			$-0.841254 - 0.540641i$ of defining polynomial
Character	$\chi$	$=$	138.25
Dual form			138.2.e.c.127.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-4.24593 - 1.24672i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(-2.17208 + 2.50672i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +O(q^{10})$	\(q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-4.24593 - 1.24672i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(-2.17208 + 2.50672i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +(2.89788 + 3.34433i) q^{10} +(1.70004 - 1.09255i) q^{11} +(0.841254 - 0.540641i) q^{12} +(-1.98101 - 2.28621i) q^{13} +(3.18251 - 0.934468i) q^{14} +(-0.629769 + 4.38014i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-1.24937 + 2.73573i) q^{17} +(0.959493 + 0.281733i) q^{18} +(-2.97223 - 6.50827i) q^{19} +(-0.629769 - 4.38014i) q^{20} +(2.79032 + 1.79323i) q^{21} -2.02085 q^{22} +(-4.08895 - 2.50609i) q^{23} -1.00000 q^{24} +(12.2674 + 7.88375i) q^{25} +(0.430515 + 2.99430i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-3.18251 - 0.934468i) q^{28} +(0.633437 - 1.38703i) q^{29} +(2.89788 - 3.34433i) q^{30} +(0.822871 - 5.72320i) q^{31} +(0.959493 - 0.281733i) q^{32} +(-1.32337 - 1.52725i) q^{33} +(2.53008 - 1.62599i) q^{34} +(12.3477 - 7.93538i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(1.77329 - 0.520684i) q^{37} +(-1.01824 + 7.08201i) q^{38} +(-1.98101 + 2.28621i) q^{39} +(-1.83829 + 4.02529i) q^{40} +(1.02079 + 0.299732i) q^{41} +(-1.37787 - 3.01713i) q^{42} +(0.268925 + 1.87042i) q^{43} +(1.70004 + 1.09255i) q^{44} +4.42518 q^{45} +(2.08494 + 4.31891i) q^{46} -0.748608 q^{47} +(0.841254 + 0.540641i) q^{48} +(-0.569485 - 3.96085i) q^{49} +(-6.05768 - 13.2645i) q^{50} +(2.88569 + 0.847315i) q^{51} +(1.25667 - 2.75172i) q^{52} +(-8.36404 + 9.65262i) q^{53} +(0.142315 - 0.989821i) q^{54} +(-8.58038 + 2.51943i) q^{55} +(2.17208 + 2.50672i) q^{56} +(-6.01903 + 3.86820i) q^{57} +(-1.28277 + 0.824385i) q^{58} +(-1.17742 - 1.35881i) q^{59} +(-4.24593 + 1.24672i) q^{60} +(-0.556335 + 3.86939i) q^{61} +(-3.78644 + 4.36978i) q^{62} +(1.37787 - 3.01713i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(5.56099 + 12.1769i) q^{65} +(0.287597 + 2.00028i) q^{66} +(-3.11473 - 2.00172i) q^{67} -3.00752 q^{68} +(-1.89867 + 4.40398i) q^{69} -14.6777 q^{70} +(-3.36559 - 2.16293i) q^{71} +(0.142315 + 0.989821i) q^{72} +(-2.24356 - 4.91272i) q^{73} +(-1.77329 - 0.520684i) q^{74} +(6.05768 - 13.2645i) q^{75} +(4.68542 - 5.40726i) q^{76} +(-0.953918 + 6.63465i) q^{77} +(2.90255 - 0.852267i) q^{78} +(-5.14867 - 5.94188i) q^{79} +(3.72270 - 2.39243i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-0.696699 - 0.804033i) q^{82} +(3.87092 - 1.13660i) q^{83} +(-0.472039 + 3.28310i) q^{84} +(8.71541 - 10.0581i) q^{85} +(0.784989 - 1.71889i) q^{86} +(-1.46306 - 0.429594i) q^{87} +(-0.839490 - 1.83823i) q^{88} +(0.796584 + 5.54036i) q^{89} +(-3.72270 - 2.39243i) q^{90} +10.0338 q^{91} +(0.581014 - 4.76051i) q^{92} -5.78205 q^{93} +(0.629769 + 0.404728i) q^{94} +(4.50589 + 31.3392i) q^{95} +(-0.415415 - 0.909632i) q^{96} +(-12.6897 - 3.72602i) q^{97} +(-1.66232 + 3.63997i) q^{98} +(-1.32337 + 1.52725i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9}+O(q^{10}) $ 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9	$ 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9} + 11 q^{10} + 11 q^{11} - q^{12} - 13 q^{13} + 13 q^{14} - 11 q^{15} - q^{16} + q^{18} - 2 q^{19} - 11 q^{20} + 9 q^{21} - 22 q^{22} - 10 q^{23} - 10 q^{24} + 5 q^{25} - 9 q^{26} - q^{27} - 13 q^{28} - 27 q^{29} + 11 q^{30} - 18 q^{31} + q^{32} + 33 q^{34} + 44 q^{35} - q^{36} - q^{37} + 13 q^{38} - 13 q^{39} - 11 q^{40} - 16 q^{41} + 2 q^{42} + 20 q^{43} + 11 q^{44} + 22 q^{45} - q^{46} - q^{48} - 19 q^{49} - 27 q^{50} - 11 q^{51} - 2 q^{52} - q^{53} + q^{54} + 33 q^{55} + 2 q^{56} - 13 q^{57} - 17 q^{58} - q^{59} - 34 q^{61} - 4 q^{62} - 2 q^{63} - q^{64} + 11 q^{65} + 8 q^{67} + 22 q^{68} + 23 q^{69} + 22 q^{70} - 22 q^{71} + q^{72} + 31 q^{73} + q^{74} + 27 q^{75} - 2 q^{76} + 22 q^{77} + 2 q^{78} + 32 q^{79} - q^{81} - 28 q^{82} + 33 q^{83} + 9 q^{84} - 11 q^{85} - 20 q^{86} + 6 q^{87} + 22 q^{88} - 23 q^{89} + 18 q^{91} + 23 q^{92} + 4 q^{93} + 11 q^{94} - 22 q^{95} + q^{96} - q^{97} - 14 q^{98}+O(q^{100}) $ 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9 + 11 * q^10 + 11 * q^11 - q^12 - 13 * q^13 + 13 * q^14 - 11 * q^15 - q^16 + q^18 - 2 * q^19 - 11 * q^20 + 9 * q^21 - 22 * q^22 - 10 * q^23 - 10 * q^24 + 5 * q^25 - 9 * q^26 - q^27 - 13 * q^28 - 27 * q^29 + 11 * q^30 - 18 * q^31 + q^32 + 33 * q^34 + 44 * q^35 - q^36 - q^37 + 13 * q^38 - 13 * q^39 - 11 * q^40 - 16 * q^41 + 2 * q^42 + 20 * q^43 + 11 * q^44 + 22 * q^45 - q^46 - q^48 - 19 * q^49 - 27 * q^50 - 11 * q^51 - 2 * q^52 - q^53 + q^54 + 33 * q^55 + 2 * q^56 - 13 * q^57 - 17 * q^58 - q^59 - 34 * q^61 - 4 * q^62 - 2 * q^63 - q^64 + 11 * q^65 + 8 * q^67 + 22 * q^68 + 23 * q^69 + 22 * q^70 - 22 * q^71 + q^72 + 31 * q^73 + q^74 + 27 * q^75 - 2 * q^76 + 22 * q^77 + 2 * q^78 + 32 * q^79 - q^81 - 28 * q^82 + 33 * q^83 + 9 * q^84 - 11 * q^85 - 20 * q^86 + 6 * q^87 + 22 * q^88 - 23 * q^89 + 18 * q^91 + 23 * q^92 + 4 * q^93 + 11 * q^94 - 22 * q^95 + q^96 - q^97 - 14 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/138\mathbb{Z}\right)^\times$.

$n$	$47$	$97$
$\chi(n)$	$1$	$e\left(\frac{1}{11}\right)$

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 $

$2$	−0.841254	−	0.540641i	−0.594856	−	0.382291i
$2$	−0.841254	−	0.540641i	−0.594856	−	0.382291i
$3$	−0.142315	−	0.989821i	−0.0821655	−	0.571474i
$3$	−0.142315	−	0.989821i	−0.0821655	−	0.571474i
$4$	0.415415	+	0.909632i	0.207708	+	0.454816i
$5$	−4.24593	−	1.24672i	−1.89884	−	0.557549i	−0.990137	−	0.140100i	$-0.955258\pi$
$5$	−4.24593	−	1.24672i	−1.89884	−	0.557549i	−0.908700	−	0.417449i	$-0.862924\pi$
$6$	−0.415415	+	0.909632i	−0.169592	+	0.371356i
$7$	−2.17208	+	2.50672i	−0.820970	+	0.947450i	−0.999333	−	0.0365144i	$-0.988375\pi$
$7$	−2.17208	+	2.50672i	−0.820970	+	0.947450i	0.178363	+	0.983965i	$0.442920\pi$
$8$	0.142315	−	0.989821i	0.0503159	−	0.349955i
$9$	−0.959493	+	0.281733i	−0.319831	+	0.0939109i
$10$	2.89788	+	3.34433i	0.916389	+	1.05757i
$11$	1.70004	−	1.09255i	0.512583	−	0.329417i	−0.258649	−	0.965971i	$-0.583277\pi$
$11$	1.70004	−	1.09255i	0.512583	−	0.329417i	0.771232	+	0.636554i	$0.219641\pi$
$12$	0.841254	−	0.540641i	0.242849	−	0.156070i
$13$	−1.98101	−	2.28621i	−0.549434	−	0.634081i	0.411317	−	0.911492i	$-0.365069\pi$
$13$	−1.98101	−	2.28621i	−0.549434	−	0.634081i	−0.960751	+	0.277411i	$0.910524\pi$
$14$	3.18251	−	0.934468i	0.850561	−	0.249747i
$15$	−0.629769	+	4.38014i	−0.162606	+	1.13095i
$16$	−0.654861	+	0.755750i	−0.163715	+	0.188937i
$17$	−1.24937	+	2.73573i	−0.303016	+	0.663513i	−0.998484	−	0.0550446i	$-0.982470\pi$
$17$	−1.24937	+	2.73573i	−0.303016	+	0.663513i	0.695468	+	0.718557i	$0.255197\pi$
$18$	0.959493	+	0.281733i	0.226155	+	0.0664050i
$19$	−2.97223	−	6.50827i	−0.681875	−	1.49310i	−0.860644	−	0.509208i	$-0.829939\pi$
$19$	−2.97223	−	6.50827i	−0.681875	−	1.49310i	0.178768	−	0.983891i	$-0.442789\pi$
$20$	−0.629769	−	4.38014i	−0.140821	−	0.979429i
$21$	2.79032	+	1.79323i	0.608898	+	0.391315i
$22$	−2.02085			−0.430846
$23$	−4.08895	−	2.50609i	−0.852604	−	0.522557i
$23$	−4.08895	−	2.50609i	−0.852604	−	0.522557i
$24$	−1.00000			−0.204124
$25$	12.2674	+	7.88375i	2.45347	+	1.57675i
$26$	0.430515	+	2.99430i	0.0844310	+	0.587231i
$27$	0.415415	+	0.909632i	0.0799467	+	0.175059i
$28$	−3.18251	−	0.934468i	−0.601437	−	0.176598i
$29$	0.633437	−	1.38703i	0.117626	−	0.257566i	−0.841656	−	0.540014i	$-0.818419\pi$
$29$	0.633437	−	1.38703i	0.117626	−	0.257566i	0.959283	+	0.282448i	$0.0911464\pi$
$30$	2.89788	−	3.34433i	0.529078	−	0.610588i
$31$	0.822871	−	5.72320i	0.147792	−	1.02792i	−0.772032	−	0.635584i	$-0.780759\pi$
$31$	0.822871	−	5.72320i	0.147792	−	1.02792i	0.919824	−	0.392332i	$-0.128332\pi$
$32$	0.959493	−	0.281733i	0.169616	−	0.0498038i
$33$	−1.32337	−	1.52725i	−0.230370	−	0.265861i
$34$	2.53008	−	1.62599i	0.433906	−	0.278854i
$35$	12.3477	−	7.93538i	2.08714	−	1.34132i
$36$	−0.654861	−	0.755750i	−0.109143	−	0.125958i
$37$	1.77329	−	0.520684i	0.291527	−	0.0855999i	−0.132699	−	0.991156i	$-0.542364\pi$
$37$	1.77329	−	0.520684i	0.291527	−	0.0855999i	0.424226	+	0.905556i	$0.360546\pi$
$38$	−1.01824	+	7.08201i	−0.165180	+	1.14885i
$39$	−1.98101	+	2.28621i	−0.317216	+	0.366087i
$40$	−1.83829	+	4.02529i	−0.290659	+	0.636454i
$41$	1.02079	+	0.299732i	0.159421	+	0.0468103i	0.360469	−	0.932771i	$-0.382617\pi$
$41$	1.02079	+	0.299732i	0.159421	+	0.0468103i	−0.201048	+	0.979581i	$0.564435\pi$
$42$	−1.37787	−	3.01713i	−0.212611	−	0.465552i
$43$	0.268925	+	1.87042i	0.0410107	+	0.285236i	0.999998	+	0.00178800i	$0.000569139\pi$
$43$	0.268925	+	1.87042i	0.0410107	+	0.285236i	−0.958988	+	0.283448i	$0.908522\pi$
$44$	1.70004	+	1.09255i	0.256291	+	0.164708i
$45$	4.42518			0.659667
$46$	2.08494	+	4.31891i	0.307408	+	0.636789i
$47$	−0.748608			−0.109196			−0.0545978	−	0.998508i	$-0.517388\pi$
$47$	−0.748608			−0.109196			−0.0545978	+	0.998508i	$0.517388\pi$
$48$	0.841254	+	0.540641i	0.121424	+	0.0780348i
$49$	−0.569485	−	3.96085i	−0.0813549	−	0.565836i
$50$	−6.05768	−	13.2645i	−0.856685	−	1.87588i
$51$	2.88569	+	0.847315i	0.404077	+	0.118648i
$52$	1.25667	−	2.75172i	0.174269	−	0.381595i
$53$	−8.36404	+	9.65262i	−1.14889	+	1.32589i	−0.211592	+	0.977358i	$0.567865\pi$
$53$	−8.36404	+	9.65262i	−1.14889	+	1.32589i	−0.937297	+	0.348531i	$0.886681\pi$
$54$	0.142315	−	0.989821i	0.0193666	−	0.134698i
$55$	−8.58038	+	2.51943i	−1.15698	+	0.339719i
$56$	2.17208	+	2.50672i	0.290257	+	0.334974i
$57$	−6.01903	+	3.86820i	−0.797240	+	0.512355i
$58$	−1.28277	+	0.824385i	−0.168436	+	0.108247i
$59$	−1.17742	−	1.35881i	−0.153287	−	0.176902i	0.673912	−	0.738811i	$-0.264613\pi$
$59$	−1.17742	−	1.35881i	−0.153287	−	0.176902i	−0.827199	+	0.561909i	$0.810067\pi$
$60$	−4.24593	+	1.24672i	−0.548147	+	0.160951i
$61$	−0.556335	+	3.86939i	−0.0712313	+	0.495425i	0.922708	+	0.385499i	$0.125971\pi$
$61$	−0.556335	+	3.86939i	−0.0712313	+	0.495425i	−0.993940	+	0.109926i	$0.964939\pi$
$62$	−3.78644	+	4.36978i	−0.480878	+	0.554963i
$63$	1.37787	−	3.01713i	0.173596	−	0.380122i
$64$	−0.959493	−	0.281733i	−0.119937	−	0.0352166i
$65$	5.56099	+	12.1769i	0.689755	+	1.51035i
$66$	0.287597	+	2.00028i	0.0354007	+	0.246217i
$67$	−3.11473	−	2.00172i	−0.380525	−	0.244549i	0.336370	−	0.941730i	$-0.390801\pi$
$67$	−3.11473	−	2.00172i	−0.380525	−	0.244549i	−0.716895	+	0.697181i	$0.754437\pi$
$68$	−3.00752			−0.364715
$69$	−1.89867	+	4.40398i	−0.228573	+	0.530177i
$70$	−14.6777			−1.75432
$71$	−3.36559	−	2.16293i	−0.399422	−	0.256693i	0.325474	−	0.945551i	$-0.394476\pi$
$71$	−3.36559	−	2.16293i	−0.399422	−	0.256693i	−0.724896	+	0.688858i	$0.758112\pi$
$72$	0.142315	+	0.989821i	0.0167720	+	0.116652i
$73$	−2.24356	−	4.91272i	−0.262589	−	0.574990i	0.731710	−	0.681616i	$-0.238723\pi$
$73$	−2.24356	−	4.91272i	−0.262589	−	0.574990i	−0.994299	+	0.106626i	$0.965995\pi$
$74$	−1.77329	−	0.520684i	−0.206140	−	0.0605283i
$75$	6.05768	−	13.2645i	0.699480	−	1.53165i
$76$	4.68542	−	5.40726i	0.537455	−	0.620256i
$77$	−0.953918	+	6.63465i	−0.108709	+	0.756088i
$78$	2.90255	−	0.852267i	0.328650	−	0.0965002i
$79$	−5.14867	−	5.94188i	−0.579271	−	0.668514i	0.388177	−	0.921585i	$-0.373105\pi$
$79$	−5.14867	−	5.94188i	−0.579271	−	0.668514i	−0.967448	+	0.253071i	$0.918559\pi$
$80$	3.72270	−	2.39243i	0.416210	−	0.267482i
$81$	0.841254	−	0.540641i	0.0934726	−	0.0600712i
$82$	−0.696699	−	0.804033i	−0.0769375	−	0.0887906i
$83$	3.87092	−	1.13660i	0.424889	−	0.124759i	−0.0622956	−	0.998058i	$-0.519842\pi$
$83$	3.87092	−	1.13660i	0.424889	−	0.124759i	0.487184	+	0.873299i	$0.338024\pi$
$84$	−0.472039	+	3.28310i	−0.0515037	+	0.358216i
$85$	8.71541	−	10.0581i	0.945319	−	1.09096i
$86$	0.784989	−	1.71889i	0.0846475	−	0.185352i
$87$	−1.46306	−	0.429594i	−0.156857	−	0.0460573i
$88$	−0.839490	−	1.83823i	−0.0894900	−	0.195956i
$89$	0.796584	+	5.54036i	0.0844377	+	0.587277i	0.987482	+	0.157730i	$0.0504177\pi$
$89$	0.796584	+	5.54036i	0.0844377	+	0.587277i	−0.903044	+	0.429547i	$0.858673\pi$
$90$	−3.72270	−	2.39243i	−0.392407	−	0.252185i
$91$	10.0338			1.05183
$92$	0.581014	−	4.76051i	0.0605749	−	0.496317i
$93$	−5.78205			−0.599571
$94$	0.629769	+	0.404728i	0.0649557	+	0.0417445i
$95$	4.50589	+	31.3392i	0.462295	+	3.21533i
$96$	−0.415415	−	0.909632i	−0.0423981	−	0.0928389i
$97$	−12.6897	−	3.72602i	−1.28844	−	0.378320i	−0.435433	−	0.900221i	$-0.643405\pi$
$97$	−12.6897	−	3.72602i	−1.28844	−	0.378320i	−0.853006	+	0.521901i	$0.825223\pi$
$98$	−1.66232	+	3.63997i	−0.167919	+	0.367692i
$99$	−1.32337	+	1.52725i	−0.133004	+	0.153495i
$100$	−2.07527	+	14.4338i	−0.207527	+	1.44338i
$101$	12.2486	−	3.59651i	1.21878	−	0.357866i	0.391775	−	0.920061i	$-0.371861\pi$
$101$	12.2486	−	3.59651i	1.21878	−	0.357866i	0.827005	+	0.562195i	$0.190043\pi$
$102$	−1.96950	−	2.27293i	−0.195010	−	0.225054i
$103$	−1.66883	+	1.07249i	−0.164434	+	0.105676i	−0.620270	−	0.784388i	$-0.712977\pi$
$103$	−1.66883	+	1.07249i	−0.164434	+	0.105676i	0.455835	+	0.890064i	$0.349341\pi$
$104$	−2.54487	+	1.63549i	−0.249545	+	0.160373i
$105$	−9.61186	−	11.0927i	−0.938022	−	1.08253i
$106$	12.2549	−	3.59836i	1.19030	−	0.349503i
$107$	0.882147	−	6.13547i	0.0852804	−	0.593138i	−0.901708	−	0.432346i	$-0.857686\pi$
$107$	0.882147	−	6.13547i	0.0852804	−	0.593138i	0.986988	−	0.160792i	$-0.0514049\pi$
$108$	−0.654861	+	0.755750i	−0.0630140	+	0.0727220i
$109$	−2.51627	+	5.50987i	−0.241015	+	0.527750i	−0.991025	−	0.133677i	$-0.957321\pi$
$109$	−2.51627	+	5.50987i	−0.241015	+	0.527750i	0.750010	+	0.661427i	$0.230049\pi$
$110$	8.58038	+	2.51943i	0.818107	+	0.240218i
$111$	−0.767749	−	1.68114i	−0.0728715	−	0.159566i
$112$	−0.472039	−	3.28310i	−0.0446035	−	0.310224i
$113$	−2.83260	−	1.82040i	−0.266469	−	0.171249i	0.400583	−	0.916260i	$-0.368808\pi$
$113$	−2.83260	−	1.82040i	−0.266469	−	0.171249i	−0.667052	+	0.745011i	$0.732444\pi$
$114$	7.15484			0.670112
$115$	14.2370	+	15.7385i	1.32761	+	1.46762i
$116$	1.52483			0.141577
$117$	2.54487	+	1.63549i	0.235273	+	0.151201i
$118$	0.255877	+	1.77967i	0.0235554	+	0.163832i
$119$	−4.14398	−	9.07405i	−0.379878	−	0.831817i
$120$	4.24593	+	1.24672i	0.387599	+	0.113809i
$121$	−2.87308	+	6.29118i	−0.261189	+	0.571925i
$122$	2.55997	−	2.95436i	0.231769	−	0.267475i
$123$	0.151407	−	1.05306i	0.0136519	−	0.0949512i
$124$	5.54784	−	1.62899i	0.498210	−	0.146288i
$125$	−27.7681	−	32.0461i	−2.48366	−	2.86629i
$126$	−2.79032	+	1.79323i	−0.248582	+	0.159754i
$127$	8.91679	−	5.73047i	0.791237	−	0.508497i	−0.0815083	−	0.996673i	$-0.525974\pi$
$127$	8.91679	−	5.73047i	0.791237	−	0.508497i	0.872746	+	0.488175i	$0.162337\pi$
$128$	0.654861	+	0.755750i	0.0578821	+	0.0667995i
$129$	1.81311	−	0.532376i	0.159635	−	0.0468731i
$130$	1.90511	−	13.2503i	0.167089	−	1.16213i
$131$	3.90735	−	4.50932i	0.341387	−	0.393981i	−0.558931	−	0.829214i	$-0.688788\pi$
$131$	3.90735	−	4.50932i	0.341387	−	0.393981i	0.900318	+	0.435233i	$0.143334\pi$
$132$	0.839490	−	1.83823i	0.0730682	−	0.159997i
$133$	22.7703	+	6.68597i	1.97444	+	0.579747i
$134$	1.53807	+	3.36790i	0.132869	+	0.290943i
$135$	−0.629769	−	4.38014i	−0.0542019	−	0.376982i
$136$	2.53008	+	1.62599i	0.216953	+	0.139427i
$137$	10.3203			0.881721			0.440861	−	0.897576i	$-0.354673\pi$
$137$	10.3203			0.881721			0.440861	+	0.897576i	$0.354673\pi$
$138$	3.97823	−	2.67837i	0.338650	−	0.227998i
$139$	−13.4382			−1.13982			−0.569908	−	0.821709i	$-0.693021\pi$
$139$	−13.4382			−1.13982			−0.569908	+	0.821709i	$0.693021\pi$
$140$	12.3477	+	7.93538i	1.04357	+	0.670662i
$141$	0.106538	+	0.740988i	0.00897212	+	0.0624024i
$142$	1.66194	+	3.63915i	0.139467	+	0.305391i
$143$	−5.86562	−	1.72230i	−0.490508	−	0.144026i
$144$	0.415415	−	0.909632i	0.0346179	−	0.0758027i
$145$	−4.41877	+	5.09953i	−0.366959	+	0.423493i
$146$	−0.768610	+	5.34580i	−0.0636106	+	0.442422i
$147$	−3.83949	+	1.12738i	−0.316676	+	0.0929844i
$148$	1.21028	+	1.39674i	0.0994845	+	0.114811i
$149$	17.5359	−	11.2697i	1.43660	−	0.923246i	0.436881	−	0.899519i	$-0.356083\pi$
$149$	17.5359	−	11.2697i	1.43660	−	0.923246i	0.999718	−	0.0237268i	$-0.00755319\pi$
$150$	−12.2674	+	7.88375i	−1.00163	+	0.643705i
$151$	5.69818	+	6.57604i	0.463711	+	0.535151i	0.938652	−	0.344867i	$-0.112076\pi$
$151$	5.69818	+	6.57604i	0.463711	+	0.535151i	−0.474941	+	0.880018i	$0.657530\pi$
$152$	−6.86501	+	2.01575i	−0.556826	+	0.163499i
$153$	0.428014	−	2.97690i	0.0346029	−	0.240668i
$154$	4.38945	−	5.06569i	0.353712	−	0.408205i
$155$	−10.6291	+	23.2744i	−0.853747	+	1.86945i
$156$	−2.90255	−	0.852267i	−0.232390	−	0.0682360i
$157$	−9.42469	−	20.6372i	−0.752173	−	1.64703i	−0.762422	−	0.647081i	$-0.775990\pi$
$157$	−9.42469	−	20.6372i	−0.752173	−	1.64703i	0.0102491	−	0.999947i	$-0.496738\pi$
$158$	1.11891	+	7.78221i	0.0890160	+	0.619120i
$159$	10.7447	+	6.90520i	0.852110	+	0.547618i
$160$	−4.42518			−0.349841
$161$	15.1636	−	4.80639i	1.19506	−	0.378797i
$162$	−1.00000			−0.0785674
$163$	−5.94202	−	3.81870i	−0.465415	−	0.299104i	0.286837	−	0.957979i	$-0.407396\pi$
$163$	−5.94202	−	3.81870i	−0.465415	−	0.299104i	−0.752252	+	0.658875i	$0.771032\pi$
$164$	0.151407	+	1.05306i	0.0118229	+	0.0822302i
$165$	3.71490	+	8.13449i	0.289204	+	0.633269i
$166$	−3.87092	−	1.13660i	−0.300442	−	0.0882176i
$167$	1.95876	−	4.28909i	0.151573	−	0.331900i	−0.818580	−	0.574393i	$-0.805238\pi$
$167$	1.95876	−	4.28909i	0.151573	−	0.331900i	0.970153	+	0.242494i	$0.0779653\pi$
$168$	2.17208	−	2.50672i	0.167580	−	0.193397i
$169$	0.547744	−	3.80964i	0.0421342	−	0.293050i
$170$	−12.7697	+	3.74952i	−0.979392	+	0.287575i
$171$	4.68542	+	5.40726i	0.358303	+	0.413504i
$172$	−1.58967	+	1.02162i	−0.121212	+	0.0778979i
$173$	−11.3317	+	7.28243i	−0.861532	+	0.553673i	−0.895152	−	0.445762i	$-0.852933\pi$
$173$	−11.3317	+	7.28243i	−0.861532	+	0.553673i	0.0336196	+	0.999435i	$0.489297\pi$
$174$	0.998551	+	1.15239i	0.0757000	+	0.0873624i
$175$	−46.4080	+	13.6266i	−3.50812	+	1.03008i
$176$	−0.287597	+	2.00028i	−0.0216784	+	0.150777i
$177$	−1.17742	+	1.35881i	−0.0885001	+	0.102135i
$178$	2.32522	−	5.09152i	0.174282	−	0.381625i
$179$	−17.5956	−	5.16653i	−1.31515	−	0.386164i	−0.452413	−	0.891809i	$-0.649437\pi$
$179$	−17.5956	−	5.16653i	−1.31515	−	0.386164i	−0.862742	+	0.505644i	$0.831255\pi$
$180$	1.83829	+	4.02529i	0.137018	+	0.300027i
$181$	2.81594	+	19.5853i	0.209308	+	1.45577i	0.775424	+	0.631441i	$0.217536\pi$
$181$	2.81594	+	19.5853i	0.209308	+	1.45577i	−0.566117	+	0.824325i	$0.691555\pi$
$182$	−8.44098	−	5.42469i	−0.625687	−	0.402105i
$183$	3.90918			0.288975
$184$	−3.06250	+	3.69067i	−0.225771	+	0.272080i
$185$	−8.17840			−0.601288
$186$	4.86417	+	3.12601i	0.356658	+	0.229210i
$187$	0.864951	+	6.01587i	0.0632515	+	0.439924i
$188$	−0.310983	−	0.680958i	−0.0226808	−	0.0496639i
$189$	−3.18251	−	0.934468i	−0.231493	−	0.0679726i
$190$	13.1526	−	28.8003i	0.954193	−	2.08939i
$191$	11.2303	−	12.9605i	0.812599	−	0.937790i	−0.186402	−	0.982474i	$-0.559683\pi$
$191$	11.2303	−	12.9605i	0.812599	−	0.937790i	0.999001	+	0.0446839i	$0.0142281\pi$
$192$	−0.142315	+	0.989821i	−0.0102707	+	0.0714342i
$193$	12.1724	−	3.57413i	0.876187	−	0.257272i	0.187443	−	0.982276i	$-0.439980\pi$
$193$	12.1724	−	3.57413i	0.876187	−	0.257272i	0.688745	+	0.725004i	$0.258162\pi$
$194$	8.66078	+	9.99507i	0.621808	+	0.717604i
$195$	11.2615	−	7.23733i	0.806453	−	0.518276i
$196$	3.36635	−	2.16342i	0.240453	−	0.154530i
$197$	3.25246	+	3.75354i	0.231728	+	0.267429i	0.859691	−	0.510815i	$-0.170656\pi$
$197$	3.25246	+	3.75354i	0.231728	+	0.267429i	−0.627962	+	0.778244i	$0.716111\pi$
$198$	1.93899	−	0.569338i	0.137798	−	0.0404611i
$199$	0.588402	−	4.09243i	0.0417107	−	0.290105i	−0.958280	−	0.285831i	$-0.907731\pi$
$199$	0.588402	−	4.09243i	0.0417107	−	0.290105i	0.999991	−	0.00427383i	$-0.00136041\pi$
$200$	9.54933	−	11.0205i	0.675240	−	0.779268i
$201$	−1.53807	+	3.36790i	−0.108487	+	0.237554i
$202$	−12.2486	−	3.59651i	−0.861807	−	0.253049i
$203$	2.10103	+	4.60060i	0.147463	+	0.322899i
$204$	0.428014	+	2.97690i	0.0299670	+	0.208425i
$205$	−3.96054	−	2.54528i	−0.276616	−	0.177770i
$206$	1.98374			0.138214
$207$	4.62936	+	1.25259i	0.321763	+	0.0870611i
$208$	3.02509			0.209752
$209$	−12.1635	−	7.81703i	−0.841370	−	0.540715i
$210$	2.08886	+	14.5283i	0.144145	+	1.00255i
$211$	−1.65664	−	3.62753i	−0.114048	−	0.249729i	0.843997	−	0.536347i	$-0.180196\pi$
$211$	−1.65664	−	3.62753i	−0.114048	−	0.249729i	−0.958045	+	0.286618i	$0.907469\pi$
$212$	−12.2549	−	3.59836i	−0.841669	−	0.247136i
$213$	−1.66194	+	3.63915i	−0.113875	+	0.249351i
$214$	−4.05919	+	4.68456i	−0.277481	+	0.320230i
$215$	1.19004	−	8.27693i	0.0811602	−	0.564482i
$216$	0.959493	−	0.281733i	0.0652852	−	0.0191695i
$217$	12.5591	+	14.4940i	0.852567	+	0.983915i
$218$	5.09568	−	3.27480i	0.345123	−	0.221797i
$219$	−4.54342	+	2.91988i	−0.307016	+	0.197307i
$220$	−5.85617	−	6.75838i	−0.394823	−	0.455650i
$221$	8.72948	−	2.56321i	0.587208	−	0.172420i
$222$	−0.263019	+	1.82934i	−0.0176527	+	0.122777i
$223$	1.06104	−	1.22450i	0.0710524	−	0.0819989i	−0.719110	−	0.694896i	$-0.755450\pi$
$223$	1.06104	−	1.22450i	0.0710524	−	0.0819989i	0.790163	+	0.612897i	$0.209996\pi$
$224$	−1.37787	+	3.01713i	−0.0920631	+	0.201590i
$225$	−13.9915	−	4.10829i	−0.932770	−	0.273886i
$226$	1.39875	+	3.06284i	0.0930436	+	0.203737i
$227$	−3.23834	−	22.5232i	−0.214936	−	1.49491i	−0.756355	−	0.654161i	$-0.773022\pi$
$227$	−3.23834	−	22.5232i	−0.214936	−	1.49491i	0.541419	−	0.840753i	$-0.317887\pi$
$228$	−6.01903	−	3.86820i	−0.398620	−	0.256178i
$229$	−3.35007			−0.221379			−0.110689	−	0.993855i	$-0.535306\pi$
$229$	−3.35007			−0.221379			−0.110689	+	0.993855i	$0.535306\pi$
$230$	−3.46806	−	20.9371i	−0.228677	−	1.38055i
$231$	6.70287			0.441017
$232$	−1.28277	−	0.824385i	−0.0842179	−	0.0541236i
$233$	−2.77580	−	19.3061i	−0.181849	−	1.26478i	−0.852388	−	0.522910i	$-0.824846\pi$
$233$	−2.77580	−	19.3061i	−0.181849	−	1.26478i	0.670539	−	0.741874i	$-0.266063\pi$
$234$	−1.25667	−	2.75172i	−0.0821510	−	0.179886i
$235$	3.17854	+	0.933303i	0.207345	+	0.0608819i
$236$	0.746902	−	1.63549i	0.0486192	−	0.106461i
$237$	−5.14867	+	5.94188i	−0.334442	+	0.385967i
$238$	−1.41966	+	9.87398i	−0.0920232	+	0.640035i
$239$	−14.4500	+	4.24290i	−0.934693	+	0.274451i	−0.713400	−	0.700757i	$-0.752846\pi$
$239$	−14.4500	+	4.24290i	−0.934693	+	0.274451i	−0.221293	+	0.975207i	$0.571028\pi$
$240$	−2.89788	−	3.34433i	−0.187057	−	0.215875i
$241$	−16.6388	+	10.6931i	−1.07180	+	0.688803i	−0.952649	−	0.304074i	$-0.901653\pi$
$241$	−16.6388	+	10.6931i	−1.07180	+	0.688803i	−0.119149	+	0.992876i	$0.538017\pi$
$242$	5.81826	−	3.73917i	0.374012	−	0.240363i
$243$	−0.654861	−	0.755750i	−0.0420093	−	0.0484814i
$244$	−3.75083	+	1.10134i	−0.240122	+	0.0705063i
$245$	−2.52007	+	17.5275i	−0.161002	+	1.11979i
$246$	−0.696699	+	0.804033i	−0.0444199	+	0.0512633i
$247$	−8.99126	+	19.6881i	−0.572100	+	1.25272i
$248$	−5.54784	−	1.62899i	−0.352288	−	0.103441i
$249$	−1.67593	−	3.66976i	−0.106207	−	0.232562i
$250$	6.03459	+	41.9715i	0.381661	+	2.65451i
$251$	23.5784	+	15.1529i	1.48826	+	0.956444i	0.996311	+	0.0858183i	$0.0273505\pi$
$251$	23.5784	+	15.1529i	1.48826	+	0.956444i	0.491946	+	0.870626i	$0.336286\pi$
$252$	3.31686			0.208943
$253$	−9.68943	+	0.206916i	−0.609169	+	0.0130087i
$254$	−10.5994			−0.665066
$255$	−11.1961	−	7.19528i	−0.701126	−	0.450586i
$256$	−0.142315	−	0.989821i	−0.00889468	−	0.0618638i
$257$	2.31752	+	5.07466i	0.144563	+	0.316549i	0.968038	−	0.250804i	$-0.0806949\pi$
$257$	2.31752	+	5.07466i	0.144563	+	0.316549i	−0.823475	+	0.567353i	$0.807968\pi$
$258$	−1.81311	−	0.532376i	−0.112879	−	0.0331443i
$259$	−2.54652	+	5.57610i	−0.158233	+	0.346482i
$260$	−8.76635	+	10.1169i	−0.543666	+	0.627424i
$261$	−0.217006	+	1.50931i	−0.0134323	+	0.0934239i
$262$	−5.72499	+	1.68101i	−0.353691	+	0.103853i
$263$	8.15765	+	9.41443i	0.503022	+	0.580519i	0.949298	−	0.314377i	$-0.101795\pi$
$263$	8.15765	+	9.41443i	0.503022	+	0.580519i	−0.446276	+	0.894895i	$0.647250\pi$
$264$	−1.70004	+	1.09255i	−0.104631	+	0.0672420i
$265$	47.5472	−	30.5567i	2.92080	−	1.87709i
$266$	−15.5409	−	17.9352i	−0.952874	−	1.09967i
$267$	5.37061	−	1.57695i	0.328676	−	0.0965079i
$268$	0.526919	−	3.66480i	0.0321867	−	0.223864i
$269$	−8.65754	+	9.99133i	−0.527860	+	0.609182i	−0.955581	−	0.294728i	$-0.904771\pi$
$269$	−8.65754	+	9.99133i	−0.527860	+	0.609182i	0.427722	+	0.903911i	$0.359316\pi$
$270$	−1.83829	+	4.02529i	−0.111875	+	0.244971i
$271$	24.1760	+	7.09872i	1.46859	+	0.431216i	0.915640	−	0.401999i	$-0.131685\pi$
$271$	24.1760	+	7.09872i	1.46859	+	0.431216i	0.552948	+	0.833216i	$0.313503\pi$
$272$	−1.24937	−	2.73573i	−0.0757540	−	0.165878i
$273$	−1.42796	−	9.93169i	−0.0864241	−	0.601093i
$274$	−8.68197	−	5.57957i	−0.524497	−	0.337074i
$275$	29.4685			1.77701
$276$	−4.79474	+	0.102391i	−0.288609	+	0.00616319i
$277$	23.9555			1.43934			0.719672	−	0.694314i	$-0.244292\pi$
$277$	23.9555			1.43934			0.719672	+	0.694314i	$0.244292\pi$
$278$	11.3050	+	7.26525i	0.678026	+	0.435741i
$279$	0.822871	+	5.72320i	0.0492640	+	0.342639i
$280$	−6.09735	−	13.3513i	−0.364386	−	0.797894i
$281$	−22.4344	−	6.58734i	−1.33832	−	0.392968i	−0.467253	−	0.884124i	$-0.654756\pi$
$281$	−22.4344	−	6.58734i	−1.33832	−	0.392968i	−0.871072	+	0.491156i	$0.836574\pi$
$282$	0.310983	−	0.680958i	0.0185188	−	0.0405504i
$283$	9.96531	−	11.5006i	0.592376	−	0.683639i	−0.377842	−	0.925870i	$-0.623334\pi$
$283$	9.96531	−	11.5006i	0.592376	−	0.683639i	0.970219	+	0.242231i	$0.0778793\pi$
$284$	0.569357	−	3.95996i	0.0337851	−	0.234981i
$285$	30.3789	−	8.92006i	1.79949	−	0.528379i
$286$	4.00333	+	4.62008i	0.236722	+	0.273191i
$287$	−2.96859	+	1.90780i	−0.175231	+	0.112614i
$288$	−0.841254	+	0.540641i	−0.0495713	+	0.0318576i
$289$	5.20932	+	6.01187i	0.306430	+	0.353640i
$290$	6.47432	−	1.90103i	0.380185	−	0.111632i
$291$	−1.88217	+	13.0908i	−0.110335	+	0.767394i
$292$	3.53676	−	4.08163i	0.206973	−	0.238860i
$293$	2.33571	−	5.11448i	0.136453	−	0.298791i	−0.829053	−	0.559170i	$-0.811120\pi$
$293$	2.33571	−	5.11448i	0.136453	−	0.298791i	0.965507	+	0.260378i	$0.0838473\pi$
$294$	3.83949	+	1.12738i	0.223924	+	0.0657499i
$295$	3.30518	+	7.23733i	0.192435	+	0.421374i
$296$	−0.263019	−	1.82934i	−0.0152877	−	0.106328i
$297$	1.70004	+	1.09255i	0.0986466	+	0.0633963i
$298$	−20.8450			−1.20752
$299$	2.37080	+	14.3128i	0.137107	+	0.827731i
$300$	14.5822			0.841905
$301$	−5.27273	−	3.38858i	−0.303915	−	0.195314i
$302$	−1.23833	−	8.61279i	−0.0712580	−	0.495610i
$303$	−5.30306	−	11.6121i	−0.304653	−	0.667096i
$304$	6.86501	+	2.01575i	0.393736	+	0.115611i
$305$	7.18620	−	15.7356i	0.411480	−	0.901016i
$306$	−1.96950	+	2.27293i	−0.112589	+	0.129935i
$307$	−0.360455	+	2.50702i	−0.0205722	+	0.143083i	−0.997519	−	0.0704011i	$-0.977572\pi$
$307$	−0.360455	+	2.50702i	−0.0205722	+	0.143083i	0.976947	+	0.213484i	$0.0684812\pi$
$308$	−6.43136	+	1.88842i	−0.366461	+	0.107603i
$309$	1.29907	+	1.49921i	0.0739017	+	0.0852871i
$310$	21.5248	−	13.8332i	1.22253	−	0.785671i
$311$	−10.3885	+	6.67631i	−0.589080	+	0.378579i	−0.800961	−	0.598717i	$-0.795678\pi$
$311$	−10.3885	+	6.67631i	−0.589080	+	0.378579i	0.211881	+	0.977296i	$0.432041\pi$
$312$	1.98101	+	2.28621i	0.112153	+	0.129431i
$313$	8.53984	−	2.50752i	0.482700	−	0.141734i	−0.0313239	−	0.999509i	$-0.509972\pi$
$313$	8.53984	−	2.50752i	0.482700	−	0.141734i	0.514024	+	0.857776i	$0.328154\pi$
$314$	−3.22876	+	22.4565i	−0.182209	+	1.26729i
$315$	−9.61186	+	11.0927i	−0.541567	+	0.625002i
$316$	3.26609	−	7.15174i	0.183732	−	0.402317i
$317$	−6.76187	−	1.98546i	−0.379784	−	0.111515i	0.0862679	−	0.996272i	$-0.472506\pi$
$317$	−6.76187	−	1.98546i	−0.379784	−	0.111515i	−0.466052	+	0.884757i	$0.654324\pi$
$318$	−5.30578	−	11.6180i	−0.297534	−	0.651508i
$319$	−0.438536	−	3.05008i	−0.0245533	−	0.170772i
$320$	3.72270	+	2.39243i	0.208105	+	0.133741i
$321$	−6.19856			−0.345970
$322$	−15.3550	−	4.15467i	−0.855699	−	0.231531i
$323$	21.5183			1.19731
$324$	0.841254	+	0.540641i	0.0467363	+	0.0300356i
$325$	−6.27787	−	43.6636i	−0.348234	−	2.42202i
$326$	2.93420	+	6.42500i	0.162510	+	0.355848i
$327$	5.81189	+	1.70652i	0.321398	+	0.0943710i
$328$	0.441955	−	0.967747i	0.0244029	−	0.0534349i
$329$	1.62604	−	1.87655i	0.0896464	−	0.103457i
$330$	1.27267	−	8.85159i	0.0700580	−	0.487264i
$331$	−32.3500	+	9.49882i	−1.77812	+	0.522102i	−0.995009	−	0.0997834i	$-0.968185\pi$
$331$	−32.3500	+	9.49882i	−1.77812	+	0.522102i	−0.783108	+	0.621886i	$0.786367\pi$
$332$	2.64193	+	3.04895i	0.144995	+	0.167333i
$333$	−1.55476	+	0.999186i	−0.0852005	+	0.0547550i
$334$	−3.96667	+	2.54922i	−0.217047	+	0.139487i
$335$	10.7294	+	12.3823i	0.586208	+	0.676520i
$336$	−3.18251	+	0.934468i	−0.173620	+	0.0509794i
$337$	−3.18236	+	22.1338i	−0.173354	+	1.20571i	0.698380	+	0.715727i	$0.253905\pi$
$337$	−3.18236	+	22.1338i	−0.173354	+	1.20571i	−0.871734	+	0.489979i	$0.837005\pi$
$338$	−2.52044	+	2.90874i	−0.137094	+	0.158215i
$339$	−1.39875	+	3.06284i	−0.0759698	+	0.166351i
$340$	12.7697	+	3.74952i	0.692534	+	0.203346i
$341$	−4.85397	−	10.6287i	−0.262857	−	0.575577i
$342$	−1.01824	−	7.08201i	−0.0550601	−	0.382951i
$343$	−8.36655	−	5.37686i	−0.451751	−	0.290323i
$344$	1.88965			0.101883
$345$	13.5521	−	16.3319i	0.729622	−	0.879280i
$346$	13.4700			0.724152
$347$	−17.8269	−	11.4567i	−0.956998	−	0.615025i	−0.0338325	−	0.999428i	$-0.510771\pi$
$347$	−17.8269	−	11.4567i	−0.956998	−	0.615025i	−0.923166	+	0.384402i	$0.874408\pi$
$348$	−0.217006	−	1.50931i	−0.0116327	−	0.0809075i
$349$	−13.8061	−	30.2311i	−0.739023	−	1.61823i	−0.785155	−	0.619300i	$-0.787417\pi$
$349$	−13.8061	−	30.2311i	−0.739023	−	1.61823i	0.0461317	−	0.998935i	$-0.485311\pi$
$350$	46.4080	+	13.6266i	2.48061	+	0.728374i
$351$	1.25667	−	2.75172i	0.0670760	−	0.146876i
$352$	1.32337	−	1.52725i	0.0705360	−	0.0814029i
$353$	−0.915954	+	6.37060i	−0.0487513	+	0.339073i	0.950819	+	0.309748i	$0.100245\pi$
$353$	−0.915954	+	6.37060i	−0.0487513	+	0.339073i	−0.999570	+	0.0293246i	$0.990664\pi$
$354$	1.72514	−	0.506546i	0.0916900	−	0.0269226i
$355$	11.5935	+	13.3796i	0.615319	+	0.710116i
$356$	−4.70878	+	3.02615i	−0.249565	+	0.160386i
$357$	−8.39194	+	5.39317i	−0.444149	+	0.285437i
$358$	12.0091	+	13.8592i	0.634701	+	0.732484i
$359$	5.03634	−	1.47880i	0.265808	−	0.0780482i	−0.146113	−	0.989268i	$-0.546676\pi$
$359$	5.03634	−	1.47880i	0.265808	−	0.0780482i	0.411921	+	0.911220i	$0.364858\pi$
$360$	0.629769	−	4.38014i	0.0331917	−	0.230854i
$361$	−21.0811	+	24.3288i	−1.10953	+	1.28047i
$362$	8.21970	−	17.9986i	0.432018	−	0.945987i
$363$	6.63602	+	1.94851i	0.348301	+	0.102270i
$364$	4.16820	+	9.12708i	0.218473	+	0.478389i
$365$	3.40124	+	23.6561i	0.178029	+	1.23822i
$366$	−3.28861	−	2.11346i	−0.171899	−	0.110472i
$367$	3.12177			0.162955			0.0814775	−	0.996675i	$-0.474036\pi$
$367$	3.12177			0.162955			0.0814775	+	0.996675i	$0.474036\pi$
$368$	4.57167	−	1.44908i	0.238315	−	0.0755384i
$369$	−1.06389			−0.0553838
$370$	6.88011	+	4.42158i	0.357680	+	0.229867i
$371$	−6.02900	−	41.9326i	−0.313010	−	2.17703i
$372$	−2.40195	−	5.25954i	−0.124535	−	0.272694i
$373$	−29.6232	−	8.69815i	−1.53383	−	0.450373i	−0.597610	−	0.801787i	$-0.703883\pi$
$373$	−29.6232	−	8.69815i	−1.53383	−	0.450373i	−0.936220	+	0.351414i	$0.885701\pi$
$374$	2.52478	−	5.52850i	0.130553	−	0.285872i
$375$	−27.7681	+	32.0461i	−1.43394	+	1.65485i
$376$	−0.106538	+	0.740988i	−0.00549428	+	0.0382135i
$377$	−4.42590	+	1.29956i	−0.227946	+	0.0669309i
$378$	2.17208	+	2.50672i	0.111720	+	0.128932i
$379$	29.9437	−	19.2436i	1.53810	−	0.988479i	0.549917	−	0.835220i	$-0.314660\pi$
$379$	29.9437	−	19.2436i	1.53810	−	0.988479i	0.988186	−	0.153259i	$-0.0489769\pi$
$380$	−26.6353	+	17.1175i	−1.36636	+	0.878108i
$381$	−6.94114	−	8.01050i	−0.355605	−	0.410390i
$382$	−16.4546	+	4.83149i	−0.841888	+	0.247201i
$383$	−3.19284	+	22.2067i	−0.163146	+	1.13471i	0.729510	+	0.683970i	$0.239748\pi$
$383$	−3.19284	+	22.2067i	−0.163146	+	1.13471i	−0.892656	+	0.450738i	$0.851161\pi$
$384$	0.654861	−	0.755750i	0.0334182	−	0.0385667i
$385$	12.3218	−	26.9810i	0.627977	−	1.37508i
$386$	−12.1724	−	3.57413i	−0.619558	−	0.181919i
$387$	−0.784989	−	1.71889i	−0.0399032	−	0.0873759i
$388$	−1.88217	−	13.0908i	−0.0955526	−	0.664583i
$389$	11.5485	+	7.42177i	0.585532	+	0.376299i	0.799612	−	0.600518i	$-0.205039\pi$
$389$	11.5485	+	7.42177i	0.585532	+	0.376299i	−0.214079	+	0.976816i	$0.568675\pi$
$390$	−13.3866			−0.677856
$391$	11.9646	−	8.05523i	0.605076	−	0.407371i
$392$	−4.00158			−0.202110
$393$	−5.01950	−	3.22583i	−0.253200	−	0.162722i
$394$	−0.706828	−	4.91609i	−0.0356095	−	0.247669i
$395$	14.4530	+	31.6478i	0.727212	+	1.59237i
$396$	−1.93899	−	0.569338i	−0.0974378	−	0.0286103i
$397$	−7.27003	+	15.9191i	−0.364872	+	0.798959i	0.634783	+	0.772691i	$0.281090\pi$
$397$	−7.27003	+	15.9191i	−0.364872	+	0.798959i	−0.999655	+	0.0262680i	$0.991638\pi$
$398$	−2.70753	+	3.12466i	−0.135716	+	0.156625i
$399$	3.37736	−	23.4901i	0.169079	−	1.17597i
$400$	−13.9915	+	4.10829i	−0.699577	+	0.205414i
$401$	−7.82717	−	9.03304i	−0.390870	−	0.451088i	0.525874	−	0.850562i	$-0.323738\pi$
$401$	−7.82717	−	9.03304i	−0.390870	−	0.451088i	−0.916745	+	0.399474i	$0.869193\pi$
$402$	3.11473	−	2.00172i	0.155349	−	0.0998366i
$403$	−14.7146	+	9.45647i	−0.732984	+	0.471060i
$404$	8.35974	+	9.64766i	0.415913	+	0.479989i
$405$	−4.24593	+	1.24672i	−0.210982	+	0.0619499i
$406$	0.719779	−	5.00617i	0.0357220	−	0.248452i
$407$	2.44579	−	2.82260i	0.121233	−	0.139911i
$408$	1.24937	−	2.73573i	0.0618529	−	0.135439i
$409$	5.04118	+	1.48022i	0.249270	+	0.0731924i	0.403981	−	0.914767i	$-0.367626\pi$
$409$	5.04118	+	1.48022i	0.249270	+	0.0731924i	−0.154710	+	0.987960i	$0.549444\pi$
$410$	1.95573	+	4.28246i	0.0965867	+	0.211495i
$411$	−1.46873	−	10.2152i	−0.0724471	−	0.503881i
$412$	−1.66883	−	1.07249i	−0.0822172	−	0.0528378i
$413$	5.96361			0.293450
$414$	−3.21727	−	3.55657i	−0.158120	−	0.174796i
$415$	−17.8527			−0.876354
$416$	−2.54487	−	1.63549i	−0.124772	−	0.0801864i
$417$	1.91246	+	13.3014i	0.0936535	+	0.651375i
$418$	6.00641	+	13.1522i	0.293783	+	0.643296i
$419$	−4.58325	−	1.34576i	−0.223907	−	0.0657449i	0.167855	−	0.985812i	$-0.446316\pi$
$419$	−4.58325	−	1.34576i	−0.223907	−	0.0657449i	−0.391762	+	0.920067i	$0.628134\pi$
$420$	6.09735	−	13.3513i	0.297520	−	0.651478i
$421$	−18.1362	+	20.9303i	−0.883904	+	1.02008i	0.115737	+	0.993280i	$0.463077\pi$
$421$	−18.1362	+	20.9303i	−0.883904	+	1.02008i	−0.999641	+	0.0267999i	$0.991468\pi$
$422$	−0.567538	+	3.94732i	−0.0276273	+	0.192152i
$423$	0.718284	−	0.210907i	0.0349242	−	0.0102547i
$424$	8.36404	+	9.65262i	0.406194	+	0.468773i
$425$	−36.8943	+	23.7105i	−1.78963	+	1.15013i
$426$	3.36559	−	2.16293i	0.163063	−	0.104794i
$427$	−8.49107	−	9.79922i	−0.410912	−	0.474217i
$428$	5.94748	−	1.74634i	0.287482	−	0.0844124i
$429$	−0.870006	+	6.05102i	−0.0420043	+	0.292146i
$430$	−5.47597	+	6.31961i	−0.264075	+	0.304759i
$431$	0.632785	−	1.38561i	0.0304802	−	0.0667423i	−0.893780	−	0.448507i	$-0.851956\pi$
$431$	0.632785	−	1.38561i	0.0304802	−	0.0667423i	0.924260	+	0.381764i	$0.124683\pi$
$432$	−0.959493	−	0.281733i	−0.0461636	−	0.0135549i
$433$	11.7873	+	25.8105i	0.566460	+	1.24037i	0.948661	+	0.316295i	$0.102439\pi$
$433$	11.7873	+	25.8105i	0.566460	+	1.24037i	−0.382201	+	0.924079i	$0.624834\pi$
$434$	−2.72935	−	18.9831i	−0.131013	−	0.911216i
$435$	5.67648	+	3.64806i	0.272167	+	0.174911i
$436$	−6.05725			−0.290090
$437$	−4.15706	+	34.0606i	−0.198859	+	1.62934i
$438$	5.40077			0.258059
$439$	−21.0048	−	13.4989i	−1.00250	−	0.644270i	−0.0670608	−	0.997749i	$-0.521362\pi$
$439$	−21.0048	−	13.4989i	−1.00250	−	0.644270i	−0.935442	+	0.353479i	$0.884999\pi$
$440$	1.27267	+	8.85159i	0.0606720	+	0.421983i
$441$	1.66232	+	3.63997i	0.0791580	+	0.173332i
$442$	−8.72948	−	2.56321i	−0.415219	−	0.121919i
$443$	−7.56947	+	16.5748i	−0.359637	+	0.787494i	0.640178	+	0.768227i	$0.278861\pi$
$443$	−7.56947	+	16.5748i	−0.359637	+	0.787494i	−0.999814	+	0.0192674i	$0.993867\pi$
$444$	1.21028	−	1.39674i	0.0574374	−	0.0662863i
$445$	3.52503	−	24.5171i	0.167102	−	1.16222i
$446$	−1.55462	+	0.456478i	−0.0736134	+	0.0216148i
$447$	−13.6506	−	15.7536i	−0.645650	−	0.745120i
$448$	2.79032	−	1.79323i	0.131830	−	0.0847222i
$449$	−8.07954	+	5.19241i	−0.381297	+	0.245045i	−0.717223	−	0.696844i	$-0.754587\pi$
$449$	−8.07954	+	5.19241i	−0.381297	+	0.245045i	0.335926	+	0.941888i	$0.390951\pi$
$450$	9.54933	+	11.0205i	0.450160	+	0.519512i
$451$	2.06287	−	0.605713i	0.0971367	−	0.0285219i
$452$	0.479191	−	3.33285i	0.0225393	−	0.156764i
$453$	5.69818	−	6.57604i	0.267724	−	0.308970i
$454$	−9.45267	+	20.6985i	−0.443636	+	0.971427i
$455$	−42.6029	−	12.5093i	−1.99725	−	0.586447i
$456$	2.97223	+	6.50827i	0.139187	+	0.304778i
$457$	−2.57260	−	17.8928i	−0.120341	−	0.836990i	−0.957170	−	0.289526i	$-0.906502\pi$
$457$	−2.57260	−	17.8928i	−0.120341	−	0.836990i	0.836829	−	0.547464i	$-0.184407\pi$
$458$	2.81826	+	1.81118i	0.131688	+	0.0846310i
$459$	−3.00752			−0.140379
$460$	−8.40195	+	19.4884i	−0.391743	+	0.908652i
$461$	4.37457			0.203744			0.101872	−	0.994798i	$-0.467517\pi$
$461$	4.37457			0.203744			0.101872	+	0.994798i	$0.467517\pi$
$462$	−5.63882	−	3.62385i	−0.262341	−	0.168597i
$463$	1.65770	+	11.5295i	0.0770398	+	0.535823i	0.991394	+	0.130909i	$0.0417896\pi$
$463$	1.65770	+	11.5295i	0.0770398	+	0.535823i	−0.914355	+	0.404914i	$0.867301\pi$
$464$	0.633437	+	1.38703i	0.0294066	+	0.0643915i
$465$	24.5502	+	7.20858i	1.13849	+	0.334290i
$466$	−8.10251	+	17.7420i	−0.375342	+	0.821884i
$467$	10.1448	−	11.7077i	0.469444	−	0.541767i	−0.470813	−	0.882233i	$-0.656039\pi$
$467$	10.1448	−	11.7077i	0.469444	−	0.541767i	0.940257	+	0.340466i	$0.110585\pi$
$468$	−0.430515	+	2.99430i	−0.0199006	+	0.138412i
$469$	11.7832	−	3.45986i	0.544098	−	0.159761i
$470$	−2.16937	−	2.50359i	−0.100066	−	0.115482i
$471$	−19.0859	+	12.2657i	−0.879431	+	0.565176i
$472$	−1.51255	+	0.972054i	−0.0696206	+	0.0447424i
$473$	2.50071	+	2.88598i	0.114983	+	0.132697i
$474$	7.54376	−	2.21505i	0.346497	−	0.101741i
$475$	14.8482	−	103.271i	0.681282	−	4.73842i
$476$	6.53258	−	7.53899i	0.299420	−	0.345549i
$477$	5.30578	−	11.6180i	0.242935	−	0.531954i
$478$	14.4500	+	4.24290i	0.660928	+	0.194066i
$479$	−3.86863	−	8.47113i	−0.176762	−	0.387056i	0.800425	−	0.599432i	$-0.204607\pi$
$479$	−3.86863	−	8.47113i	−0.176762	−	0.387056i	−0.977188	+	0.212377i	$0.931880\pi$
$480$	0.629769	+	4.38014i	0.0287449	+	0.199925i
$481$	−4.70330	−	3.02263i	−0.214452	−	0.137820i
$482$	19.7786			0.900889
$483$	−6.91547	−	14.3252i	−0.314665	−	0.651821i
$484$	−6.91618			−0.314372
$485$	49.2341	+	31.6408i	2.23561	+	1.43674i
$486$	0.142315	+	0.989821i	0.00645553	+	0.0448992i
$487$	4.57016	+	10.0073i	0.207094	+	0.453472i	0.984467	−	0.175567i	$-0.0561758\pi$
$487$	4.57016	+	10.0073i	0.207094	+	0.453472i	−0.777374	+	0.629039i	$0.783449\pi$
$488$	3.75083	+	1.10134i	0.169792	+	0.0498555i
$489$	−2.93420	+	6.42500i	−0.132689	+	0.290548i
$490$	11.5961	−	13.3826i	0.523858	−	0.604565i
$491$	4.50507	−	31.3334i	0.203311	−	1.41406i	−0.591062	−	0.806626i	$-0.701291\pi$
$491$	4.50507	−	31.3334i	0.203311	−	1.41406i	0.794372	−	0.607431i	$-0.207800\pi$
$492$	1.02079	−	0.299732i	0.0460209	−	0.0135130i
$493$	3.00316	+	3.46583i	0.135256	+	0.156093i
$494$	18.2081	−	11.7016i	0.819222	−	0.526482i
$495$	7.52301	−	4.83474i	0.338134	−	0.217306i
$496$	3.78644	+	4.36978i	0.170016	+	0.196209i
$497$	12.7322	−	3.73851i	0.571118	−	0.167695i
$498$	−0.574146	+	3.99328i	−0.0257281	+	0.178943i
$499$	10.7199	−	12.3715i	0.479890	−	0.553823i	−0.463246	−	0.886230i	$-0.653315\pi$
$499$	10.7199	−	12.3715i	0.479890	−	0.553823i	0.943136	+	0.332407i	$0.107861\pi$
$500$	17.6149	−	38.5712i	0.787762	−	1.72496i
$501$	−4.52419	−	1.32842i	−0.202126	−	0.0593496i
$502$	−11.6431	−	25.4949i	−0.519658	−	1.13789i
$503$	2.73819	+	19.0445i	0.122090	+	0.849154i	0.955182	+	0.296020i	$0.0956594\pi$
$503$	2.73819	+	19.0445i	0.122090	+	0.849154i	−0.833092	+	0.553135i	$0.813432\pi$
$504$	−2.79032	−	1.79323i	−0.124291	−	0.0798769i
$505$	−56.4905			−2.51379
$506$	8.26314	+	5.06443i	0.367341	+	0.225142i
$507$	−3.84882			−0.170932
$508$	8.91679	+	5.73047i	0.395619	+	0.254249i
$509$	1.72754	+	12.0153i	0.0765720	+	0.532570i	0.991616	+	0.129217i	$0.0412462\pi$
$509$	1.72754	+	12.0153i	0.0765720	+	0.532570i	−0.915044	+	0.403353i	$0.867845\pi$
$510$	5.52868	+	12.1061i	0.244814	+	0.536068i
$511$	17.1880	+	5.04685i	0.760352	+	0.223260i
$512$	−0.415415	+	0.909632i	−0.0183589	+	0.0402004i
$513$	4.68542	−	5.40726i	0.206866	−	0.238737i
$514$	0.793947	−	5.52202i	0.0350195	−	0.243566i
$515$	8.42282	−	2.47316i	0.371154	−	0.108981i
$516$	1.23746	+	1.42810i	0.0544760	+	0.0628687i
$517$	−1.27267	+	0.817893i	−0.0559718	+	0.0359709i
$518$	5.15694	−	3.31416i	0.226583	−	0.145616i
$519$	8.82097	+	10.1799i	0.387198	+	0.446850i
$520$	12.8443	−	3.77144i	0.563261	−	0.165388i
$521$	0.968200	−	6.73398i	0.0424176	−	0.295021i	−0.957559	−	0.288236i	$-0.906931\pi$
$521$	0.968200	−	6.73398i	0.0424176	−	0.295021i	0.999977	−	0.00678492i	$-0.00215972\pi$
$522$	0.998551	−	1.15239i	0.0437054	−	0.0504387i
$523$	12.7359	−	27.8878i	0.556903	−	1.21945i	−0.396579	−	0.918000i	$-0.629803\pi$
$523$	12.7359	−	27.8878i	0.556903	−	1.21945i	0.953483	−	0.301448i	$-0.0974699\pi$
$524$	5.72499	+	1.68101i	0.250098	+	0.0734353i
$525$	20.0925	+	43.9964i	0.876908	+	1.92016i
$526$	−1.77283	−	12.3303i	−0.0772989	−	0.537626i
$527$	14.6291	+	9.40153i	0.637252	+	0.409537i
$528$	2.02085			0.0879461
$529$	10.4390	+	20.4946i	0.453869	+	0.891069i
$530$	−56.5195			−2.45505
$531$	1.51255	+	0.972054i	0.0656389	+	0.0421836i
$532$	3.37736	+	23.4901i	0.146427	+	1.01842i
$533$	−1.33696	−	2.92752i	−0.0579100	−	0.126805i
$534$	−5.37061	−	1.57695i	−0.232409	−	0.0682414i
$535$	−11.3947	+	24.9510i	−0.492637	+	1.07873i
$536$	−2.42462	+	2.79816i	−0.104727	+	0.120862i
$537$	−2.60983	+	18.1517i	−0.112622	+	0.783306i
$538$	12.6849	−	3.72463i	0.546885	−	0.160580i
$539$	−5.29559	−	6.11143i	−0.228097	−	0.263238i
$540$	3.72270	−	2.39243i	0.160199	−	0.102954i
$541$	−4.31419	+	2.77256i	−0.185482	+	0.119202i	−0.630086	−	0.776525i	$-0.716981\pi$
$541$	−4.31419	+	2.77256i	−0.185482	+	0.119202i	0.444605	+	0.895727i	$0.353344\pi$
$542$	−16.5003	−	19.0424i	−0.708748	−	0.817939i
$543$	18.9852	−	5.57456i	0.814734	−	0.239227i
$544$	−0.428014	+	2.97690i	−0.0183510	+	0.127634i
$545$	17.5532	−	20.2574i	0.751895	−	0.867733i
$546$	−4.16820	+	9.12708i	−0.178382	+	0.390603i
$547$	38.6075	+	11.3362i	1.65074	+	0.484701i	0.969034	−	0.246927i	$-0.0794208\pi$
$547$	38.6075	+	11.3362i	1.65074	+	0.484701i	0.681705	+	0.731628i	$0.261239\pi$
$548$	4.28720	+	9.38766i	0.183140	+	0.401021i
$549$	−0.556335	−	3.86939i	−0.0237438	−	0.165142i
$550$	−24.7904	−	15.9318i	−1.05707	−	0.679336i
$551$	−10.9099			−0.464778
$552$	4.08895	+	2.50609i	0.174037	+	0.106666i
$553$	26.0780			1.10895
$554$	−20.1526	−	12.9513i	−0.856202	−	0.550248i
$555$	1.16391	+	8.09516i	0.0494051	+	0.343620i
$556$	−5.58244	−	12.2238i	−0.236748	−	0.518406i
$557$	29.5402	+	8.67378i	1.25166	+	0.367520i	0.839383	−	0.543540i	$-0.182916\pi$
$557$	29.5402	+	8.67378i	1.25166	+	0.367520i	0.412274	+	0.911060i	$0.364735\pi$
$558$	2.40195	−	5.25954i	0.101683	−	0.222654i
$559$	3.74342	−	4.32014i	0.158330	−	0.182722i
$560$	−2.08886	+	14.5283i	−0.0882703	+	0.613934i
$561$	5.83154	−	1.71229i	0.246208	−	0.0722931i
$562$	15.3116	+	17.6706i	0.645883	+	0.745388i
$563$	−22.1930	+	14.2626i	−0.935325	+	0.601097i	−0.917066	−	0.398736i	$-0.869449\pi$
$563$	−22.1930	+	14.2626i	−0.935325	+	0.601097i	−0.0182597	+	0.999833i	$0.505813\pi$
$564$	−0.629769	+	0.404728i	−0.0265181	+	0.0170421i
$565$	9.75750	+	11.2608i	0.410501	+	0.473744i
$566$	−14.6010	+	4.28725i	−0.613727	+	0.180207i
$567$	−0.472039	+	3.28310i	−0.0198238	+	0.137877i
$568$	−2.61989	+	3.02352i	−0.109928	+	0.126864i
$569$	12.0251	−	26.3313i	0.504119	−	1.10387i	−0.470989	−	0.882139i	$-0.656103\pi$
$569$	12.0251	−	26.3313i	0.504119	−	1.10387i	0.975108	−	0.221729i	$-0.0711699\pi$
$570$	−30.3789	−	8.92006i	−1.27243	−	0.373620i
$571$	6.64916	+	14.5596i	0.278259	+	0.609302i	0.996228	−	0.0867731i	$-0.0276555\pi$
$571$	6.64916	+	14.5596i	0.278259	+	0.609302i	−0.717969	+	0.696075i	$0.754928\pi$
$572$	−0.870006	−	6.05102i	−0.0363768	−	0.253006i
$573$	−14.4268	−	9.27157i	−0.602690	−	0.387325i
$574$	3.52877			0.147288
$575$	−30.4031	−	62.9794i	−1.26790	−	2.62642i
$576$	1.00000			0.0416667
$577$	15.5247	+	9.97711i	0.646301	+	0.415353i	0.822313	−	0.569035i	$-0.192683\pi$
$577$	15.5247	+	9.97711i	0.646301	+	0.415353i	−0.176012	+	0.984388i	$0.556320\pi$
$578$	−1.13209	−	7.87388i	−0.0470889	−	0.327510i
$579$	−5.27007	−	11.5398i	−0.219016	−	0.479579i
$580$	−6.47432	−	1.90103i	−0.268832	−	0.0789361i
$581$	−5.55881	+	12.1721i	−0.230618	+	0.504984i
$582$	8.66078	−	9.99507i	0.359001	−	0.414309i
$583$	−3.67325	+	25.5480i	−0.152131	+	1.05809i
$584$	−5.18201	+	1.52157i	−0.214433	+	0.0629632i
$585$	−8.76635	−	10.1169i	−0.362444	−	0.418282i
$586$	−4.73002	+	3.03980i	−0.195395	+	0.125573i
$587$	−13.1916	+	8.47770i	−0.544474	+	0.349912i	−0.783786	−	0.621031i	$-0.786714\pi$
$587$	−13.1916	+	8.47770i	−0.544474	+	0.349912i	0.239313	+	0.970943i	$0.423078\pi$
$588$	−2.62048	−	3.02419i	−0.108067	−	0.124716i
$589$	−39.6939	+	11.6552i	−1.63556	+	0.480243i
$590$	1.13230	−	7.87534i	0.0466162	−	0.324223i
$591$	3.25246	−	3.75354i	0.133788	−	0.154400i
$592$	−0.767749	+	1.68114i	−0.0315543	+	0.0690943i
$593$	−4.58766	−	1.34706i	−0.188392	−	0.0553170i	0.186175	−	0.982517i	$-0.440391\pi$
$593$	−4.58766	−	1.34706i	−0.188392	−	0.0553170i	−0.374568	+	0.927200i	$0.622209\pi$
$594$	−0.839490	−	1.83823i	−0.0344447	−	0.0754234i
$595$	6.28227	+	43.6942i	0.257548	+	1.79129i
$596$	17.5359	+	11.2697i	0.718300	+	0.461623i
$597$	−4.13451			−0.169214
$598$	5.74365	−	13.3224i	0.234875	−	0.544795i
$599$	25.8095			1.05455			0.527273	−	0.849696i	$-0.323214\pi$
$599$	25.8095			1.05455			0.527273	+	0.849696i	$0.323214\pi$
$600$	−12.2674	−	7.88375i	−0.500813	−	0.321853i
$601$	−1.41468	−	9.83931i	−0.0577060	−	0.401354i	−0.998118	−	0.0613176i	$-0.980470\pi$
$601$	−1.41468	−	9.83931i	−0.0577060	−	0.401354i	0.940412	−	0.340036i	$-0.110439\pi$
$602$	2.60370	+	5.70131i	0.106119	+	0.232368i
$603$	3.55251	+	1.04311i	0.144670	+	0.0424788i
$604$	−3.61467	+	7.91503i	−0.147079	+	0.322058i
$605$	20.0422	−	23.1300i	0.814833	−	0.940367i
$606$	−1.81675	+	12.6357i	−0.0738003	+	0.513292i
$607$	38.2281	−	11.2248i	1.55163	−	0.455600i	0.610044	−	0.792368i	$-0.291152\pi$
$607$	38.2281	−	11.2248i	1.55163	−	0.455600i	0.941588	+	0.336767i	$0.109334\pi$
$608$	−4.68542	−	5.40726i	−0.190019	−	0.219293i
$609$	4.25477	−	2.73437i	0.172412	−	0.110802i
$610$	−14.5527	+	9.35246i	−0.589222	+	0.378670i
$611$	1.48300	+	1.71148i	0.0599959	+	0.0692389i
$612$	2.88569	−	0.847315i	0.116647	−	0.0342507i
$613$	4.83453	−	33.6249i	0.195265	−	1.35810i	−0.622535	−	0.782592i	$-0.713897\pi$
$613$	4.83453	−	33.6249i	0.195265	−	1.35810i	0.817799	−	0.575503i	$-0.195194\pi$
$614$	1.65863	−	1.91416i	0.0669368	−	0.0772492i
$615$	−1.95573	+	4.28246i	−0.0788627	+	0.172685i
$616$	6.43136	+	1.88842i	0.259127	+	0.0760865i
$617$	6.90697	+	15.1242i	0.278064	+	0.608876i	0.996207	−	0.0870207i	$-0.0277346\pi$
$617$	6.90697	+	15.1242i	0.278064	+	0.608876i	−0.718142	+	0.695896i	$0.755007\pi$
$618$	−0.282315	−	1.96355i	−0.0113564	−	0.0789855i
$619$	14.4006	+	9.25473i	0.578810	+	0.371979i	0.797047	−	0.603917i	$-0.206394\pi$
$619$	14.4006	+	9.25473i	0.578810	+	0.371979i	−0.218237	+	0.975896i	$0.570031\pi$
$620$	−25.5866			−1.02758
$621$	0.581014	−	4.76051i	0.0233153	−	0.191033i
$622$	12.3489			0.495145
$623$	−15.6184	−	10.0373i	−0.625737	−	0.402137i
$624$	−0.430515	−	2.99430i	−0.0172344	−	0.119868i
$625$	47.6607	+	104.362i	1.90643	+	4.17449i
$626$	−8.53984	−	2.50752i	−0.341321	−	0.100221i
$627$	−6.00641	+	13.1522i	−0.239873	+	0.525249i
$628$	14.8571	−	17.1460i	0.592863	−	0.684200i
$629$	−0.791035	+	5.50177i	−0.0315406	+	0.219370i
$630$	14.0832	−	4.13519i	0.561087	−	0.164750i
$631$	−15.9012	−	18.3510i	−0.633018	−	0.730541i	0.345106	−	0.938564i	$-0.387843\pi$
$631$	−15.9012	−	18.3510i	−0.633018	−	0.730541i	−0.978124	+	0.208022i	$0.933297\pi$
$632$	−6.61414	+	4.25065i	−0.263096	+	0.169082i
$633$	−3.35484	+	2.15603i	−0.133343	+	0.0856943i
$634$	4.61502	+	5.32602i	0.183286	+	0.211523i
$635$	−45.0044	+	13.2145i	−1.78594	+	0.524400i
$636$	−1.81768	+	12.6422i	−0.0720757	+	0.501298i
$637$	−7.92719	+	9.14847i	−0.314087	+	0.362475i
$638$	−1.28008	+	2.80298i	−0.0506789	+	0.110971i
$639$	3.83863	+	1.12712i	0.151854	+	0.0445883i
$640$	−1.83829	−	4.02529i	−0.0726647	−	0.159113i
$641$	−6.84881	−	47.6345i	−0.270512	−	1.88145i	−0.443123	−	0.896461i	$-0.646130\pi$
$641$	−6.84881	−	47.6345i	−0.270512	−	1.88145i	0.172611	−	0.984990i	$-0.444780\pi$
$642$	5.21456	+	3.35120i	0.205802	+	0.132261i
$643$	−26.9065			−1.06109			−0.530545	−	0.847657i	$-0.678013\pi$
$643$	−26.9065			−1.06109			−0.530545	+	0.847657i	$0.678013\pi$
$644$	10.6712	+	11.7967i	0.420506	+	0.464853i
$645$	−8.36204			−0.329255
$646$	−18.1023	−	11.6337i	−0.712227	−	0.457720i
$647$	−3.80771	−	26.4832i	−0.149696	−	1.04116i	−0.916716	−	0.399539i	$-0.869170\pi$
$647$	−3.80771	−	26.4832i	−0.149696	−	1.04116i	0.767020	−	0.641623i	$-0.221739\pi$
$648$	−0.415415	−	0.909632i	−0.0163190	−	0.0357337i
$649$	−3.48624	−	1.02365i	−0.136847	−	0.0401818i
$650$	−18.3250	+	40.1262i	−0.718767	+	1.57388i
$651$	12.5591	−	14.4940i	0.492230	−	0.568063i
$652$	1.00521	−	6.99140i	0.0393671	−	0.273804i
$653$	44.8129	−	13.1582i	1.75366	−	0.514922i	0.762432	−	0.647068i	$-0.224005\pi$
$653$	44.8129	−	13.1582i	1.75366	−	0.514922i	0.991230	+	0.132146i	$0.0421869\pi$
$654$	−3.96665	−	4.57776i	−0.155108	−	0.179005i
$655$	−22.2122	+	14.2749i	−0.867902	+	0.557767i
$656$	−0.895000	+	0.575182i	−0.0349439	+	0.0224571i
$657$	3.53676	+	4.08163i	0.137982	+	0.159240i
$658$	−2.38245	+	0.699550i	−0.0928776	+	0.0272713i
$659$	−0.502188	+	3.49280i	−0.0195625	+	0.136060i	−0.997262	−	0.0739483i	$-0.976440\pi$
$659$	−0.502188	+	3.49280i	−0.0195625	+	0.136060i	0.977700	+	0.210008i	$0.0673491\pi$
$660$	−5.85617	+	6.75838i	−0.227951	+	0.263069i
$661$	−7.78689	+	17.0509i	−0.302875	+	0.663203i	−0.998474	−	0.0552268i	$-0.982412\pi$
$661$	−7.78689	+	17.0509i	−0.302875	+	0.663203i	0.695599	+	0.718430i	$0.255139\pi$
$662$	32.3500	+	9.49882i	1.25732	+	0.369182i
$663$	−3.77945	−	8.27584i	−0.146782	−	0.321407i
$664$	−0.574146	−	3.99328i	−0.0222812	−	0.154969i
$665$	−88.3457	−	56.7763i	−3.42590	−	2.20169i
$666$	1.84815			0.0716144
$667$	−6.06613	+	4.08406i	−0.234882	+	0.158135i
$668$	4.71519			0.182436
$669$	−1.36304	−	0.875974i	−0.0526983	−	0.0338671i
$670$	−2.33171	−	16.2174i	−0.0900819	−	0.626534i
$671$	3.28172	+	7.18596i	0.126689	+	0.277411i
$672$	3.18251	+	0.934468i	0.122768	+	0.0360479i
$673$	2.10814	−	4.61619i	0.0812630	−	0.177941i	−0.864639	−	0.502394i	$-0.832453\pi$
$673$	2.10814	−	4.61619i	0.0812630	−	0.177941i	0.945902	+	0.324453i	$0.105180\pi$
$674$	14.6436	−	16.8996i	0.564051	−	0.650950i
$675$	−2.07527	+	14.4338i	−0.0798771	+	0.555557i
$676$	3.69292	−	1.08434i	0.142035	−	0.0417053i
$677$	−21.4030	−	24.7003i	−0.822582	−	0.949311i	0.176807	−	0.984246i	$-0.443423\pi$
$677$	−21.4030	−	24.7003i	−0.822582	−	0.949311i	−0.999390	+	0.0349347i	$0.988878\pi$
$678$	2.83260	−	1.82040i	0.108785	−	0.0699121i
$679$	36.9031	−	23.7162i	1.41621	−	0.910143i
$680$	−8.71541	−	10.0581i	−0.334221	−	0.385711i
$681$	−21.8330	+	6.41076i	−0.836644	+	0.245661i
$682$	−1.66290	+	11.5657i	−0.0636756	+	0.442874i
$683$	−32.2691	+	37.2406i	−1.23474	+	1.42497i	−0.365337	+	0.930875i	$0.619046\pi$
$683$	−32.2691	+	37.2406i	−1.23474	+	1.42497i	−0.869407	+	0.494096i	$0.835499\pi$
$684$	−2.97223	+	6.50827i	−0.113646	+	0.248850i
$685$	−43.8192	−	12.8665i	−1.67425	−	0.491603i
$686$	4.13144	+	9.04660i	0.157739	+	0.345401i
$687$	0.476764	+	3.31597i	0.0181897	+	0.126512i
$688$	−1.58967	−	1.02162i	−0.0606058	−	0.0389490i
$689$	38.6372			1.47196
$690$	−20.2305	+	6.41243i	−0.770161	+	0.244117i
$691$	−36.7082			−1.39645			−0.698223	−	0.715880i	$-0.746026\pi$
$691$	−36.7082			−1.39645			−0.698223	+	0.715880i	$0.746026\pi$
$692$	−11.3317	−	7.28243i	−0.430766	−	0.276837i
$693$	−0.953918	−	6.63465i	−0.0362364	−	0.252029i
$694$	8.80301	+	19.2759i	0.334158	+	0.731703i
$695$	57.0578	+	16.7537i	2.16432	+	0.635503i
$696$	−0.633437	+	1.38703i	−0.0240104	+	0.0525754i
$697$	−2.09533	+	2.41814i	−0.0793664	+	0.0915937i
$698$	−4.72976	+	32.8962i	−0.179024	+	1.24514i
$699$	−18.7146	+	5.49509i	−0.707849	+	0.207843i
$700$	−31.6738	−	36.5535i	−1.19716	−	1.38159i
$701$	−2.68615	+	1.72629i	−0.101455	+	0.0652009i	−0.590384	−	0.807122i	$-0.701024\pi$
$701$	−2.68615	+	1.72629i	−0.101455	+	0.0652009i	0.488930	+	0.872323i	$0.337387\pi$
$702$	−2.54487	+	1.63549i	−0.0960499	+	0.0617275i
$703$	−8.65936	−	9.99344i	−0.326594	−	0.376910i
$704$	−1.93899	+	0.569338i	−0.0730784	+	0.0214577i
$705$	0.471450	−	3.27901i	0.0177558	−	0.123495i
$706$	4.21475	−	4.86409i	0.158624	−	0.183062i
$707$	−17.5895	+	38.5157i	−0.661522	+	1.44853i
$708$	−1.72514	−	0.506546i	−0.0648346	−	0.0190372i
$709$	−2.59408	−	5.68024i	−0.0974226	−	0.213326i	0.854645	−	0.519212i	$-0.173775\pi$
$709$	−2.59408	−	5.68024i	−0.0974226	−	0.213326i	−0.952068	+	0.305886i	$0.901047\pi$
$710$	−2.51951	−	17.5236i	−0.0945554	−	0.657647i
$711$	6.61414	+	4.25065i	0.248049	+	0.159412i
$712$	5.59734			0.209769
$713$	−17.7076	+	21.3397i	−0.663153	+	0.799176i
$714$	9.97552			0.373324
$715$	22.7578	+	14.6255i	0.851093	+	0.546964i
$716$	−2.60983	−	18.1517i	−0.0975338	−	0.678363i
$717$	6.25617	+	13.6991i	0.233641	+	0.511602i
$718$	−5.03634	−	1.47880i	−0.187954	−	0.0551884i
$719$	15.2892	−	33.4786i	0.570190	−	1.24854i	−0.376506	−	0.926414i	$-0.622875\pi$
$719$	15.2892	−	33.4786i	0.570190	−	1.24854i	0.946696	−	0.322128i	$-0.104398\pi$
$720$	−2.89788	+	3.34433i	−0.107998	+	0.124636i
$721$	0.936402	−	6.51282i	0.0348734	−	0.242550i
$722$	30.8877	−	9.06944i	1.14952	−	0.337530i
$723$	12.9522	+	14.9476i	0.481697	+	0.555909i
$724$	−16.6457	+	10.6975i	−0.618631	+	0.397570i
$725$	18.7056	−	12.0214i	0.694710	−	0.446463i
$726$	−4.52913	−	5.22690i	−0.168092	−	0.193988i
$727$	35.6377	−	10.4642i	1.32173	−	0.388095i	0.456613	−	0.889665i	$-0.349062\pi$
$727$	35.6377	−	10.4642i	1.32173	−	0.388095i	0.865117	+	0.501570i	$0.167244\pi$
$728$	1.42796	−	9.93169i	0.0529238	−	0.368093i
$729$	−0.654861	+	0.755750i	−0.0242541	+	0.0279907i
$730$	9.92817	−	21.7397i	0.367458	−	0.804621i
$731$	−5.45294	−	1.60113i	−0.201684	−	0.0592199i
$732$	1.62393	+	3.55592i	0.0600223	+	0.131430i
$733$	−3.00732	−	20.9164i	−0.111078	−	0.772564i	−0.966875	−	0.255252i	$-0.917842\pi$
$733$	−3.00732	−	20.9164i	−0.111078	−	0.772564i	0.855797	−	0.517312i	$-0.173067\pi$
$734$	−2.62620	−	1.68775i	−0.0969347	−	0.0622962i
$735$	17.7077			0.653159
$736$	−4.62936	−	1.25259i	−0.170641	−	0.0461711i
$737$	−7.48217			−0.275609
$738$	0.895000	+	0.575182i	0.0329454	+	0.0211727i
$739$	2.22994	+	15.5096i	0.0820297	+	0.570529i	0.988839	+	0.148988i	$0.0476016\pi$
$739$	2.22994	+	15.5096i	0.0820297	+	0.570529i	−0.906809	+	0.421541i	$0.861489\pi$
$740$	−3.39743	−	7.43933i	−0.124892	−	0.273475i
$741$	20.7673	+	6.09783i	0.762906	+	0.224009i
$742$	−17.5986	+	38.5355i	−0.646063	+	1.41468i
$743$	0.533634	−	0.615847i	0.0195771	−	0.0225932i	−0.745877	−	0.666084i	$-0.767969\pi$
$743$	0.533634	−	0.615847i	0.0195771	−	0.0225932i	0.765454	+	0.643491i	$0.222515\pi$
$744$	−0.822871	+	5.72320i	−0.0301679	+	0.209823i
$745$	−88.5064	+	25.9878i	−3.24262	+	0.952120i
$746$	20.2180	+	23.3328i	0.740235	+	0.854276i
$747$	−3.39390	+	2.18113i	−0.124176	+	0.0798033i
$748$	−5.11291	+	3.28587i	−0.186947	+	0.120143i
$749$	13.4638	+	15.5380i	0.491956	+	0.567748i
$750$	40.6855	−	11.9463i	1.48562	−	0.436218i
$751$	3.58876	−	24.9604i	0.130956	−	0.910818i	−0.813356	−	0.581766i	$-0.802362\pi$
$751$	3.58876	−	24.9604i	0.130956	−	0.910818i	0.944312	−	0.329052i	$-0.106729\pi$
$752$	0.490234	−	0.565760i	0.0178770	−	0.0206311i
$753$	11.6431	−	25.4949i	0.424299	−	0.929086i
$754$	4.42590	+	1.29956i	0.161182	+	0.0473273i
$755$	−15.9956	−	35.0254i	−0.582139	−	1.27471i
$756$	−0.472039	−	3.28310i	−0.0171679	−	0.119405i
$757$	25.7709	+	16.5619i	0.936659	+	0.601954i	0.917445	−	0.397862i	$-0.130248\pi$
$757$	25.7709	+	16.5619i	0.936659	+	0.601954i	0.0192131	+	0.999815i	$0.493884\pi$
$758$	−35.5941			−1.29284
$759$	1.58376	+	9.56136i	0.0574868	+	0.347055i
$760$	31.6614			1.14848
$761$	−13.6570	−	8.77685i	−0.495067	−	0.318160i	0.269173	−	0.963092i	$-0.413250\pi$
$761$	−13.6570	−	8.77685i	−0.495067	−	0.318160i	−0.764241	+	0.644931i	$0.776886\pi$
$762$	1.50845	+	10.4915i	0.0546455	+	0.380068i
$763$	−8.34613	−	18.2755i	−0.302150	−	0.661617i
$764$	16.4546	+	4.83149i	0.595305	+	0.174797i
$765$	−5.52868	+	12.1061i	−0.199890	+	0.437697i
$766$	14.6918	−	16.9553i	0.530837	−	0.612619i
$767$	−0.774052	+	5.38365i	−0.0279494	+	0.194392i
$768$	−0.959493	+	0.281733i	−0.0346227	+	0.0101661i
$769$	23.4416	+	27.0530i	0.845325	+	0.975557i	0.999923	−	0.0124207i	$-0.00395375\pi$
$769$	23.4416	+	27.0530i	0.845325	+	0.975557i	−0.154598	+	0.987977i	$0.549408\pi$
$770$	−24.9528	+	16.0362i	−0.899236	+	0.577904i
$771$	4.69319	−	3.01613i	0.169021	−	0.108623i
$772$	8.30774	+	9.58764i	0.299002	+	0.345067i
$773$	44.4387	−	13.0484i	1.59835	−	0.469318i	0.643263	−	0.765646i	$-0.277580\pi$
$773$	44.4387	−	13.0484i	1.59835	−	0.469318i	0.955086	+	0.296328i	$0.0957621\pi$
$774$	−0.268925	+	1.87042i	−0.00966631	+	0.0672307i
$775$	55.2147	−	63.7212i	1.98337	−	2.28893i
$776$	−5.49402	+	12.0302i	−0.197224	+	0.431860i
$777$	5.88175	+	1.72704i	0.211007	+	0.0619571i
$778$	−5.70270	−	12.4872i	−0.204452	−	0.447687i
$779$	−1.08329	−	7.53447i	−0.0388130	−	0.269950i
$780$	11.2615	+	7.23733i	0.403227	+	0.259138i
$781$	−8.08477			−0.289296
$782$	−14.4203	+	0.307941i	−0.515667	+	0.0110120i
$783$	1.52483			0.0544930
$784$	3.36635	+	2.16342i	0.120227	+	0.0772650i
$785$	14.2878	+	99.3741i	0.509955	+	3.54681i
$786$	2.47865	+	5.42749i	0.0884106	+	0.193592i
$787$	−0.253936	−	0.0745622i	−0.00905183	−	0.00265786i	0.277204	−	0.960811i	$-0.410592\pi$
$787$	−0.253936	−	0.0745622i	−0.00905183	−	0.00265786i	−0.286255	+	0.958153i	$0.592411\pi$
$788$	−2.06322	+	4.51782i	−0.0734992	+	0.160941i
$789$	8.15765	−	9.41443i	0.290420	−	0.335163i
$790$	4.95139	−	34.4377i	0.176163	−	1.22524i
$791$	10.7159	−	3.14647i	0.381013	−	0.111875i
$792$	1.32337	+	1.52725i	0.0470240	+	0.0542686i
$793$	9.94836	−	6.39342i	0.353276	−	0.227037i
$794$	14.7225	−	9.46156i	0.522481	−	0.335778i
$795$	−37.0124	−	42.7146i	−1.31269	−	1.51493i
$796$	3.96703	−	1.16483i	0.140608	−	0.0412862i
$797$	2.60459	−	18.1153i	0.0922593	−	0.641677i	−0.890251	−	0.455470i	$-0.849471\pi$
$797$	2.60459	−	18.1153i	0.0922593	−	0.641677i	0.982510	−	0.186207i	$-0.0596197\pi$
$798$	−15.5409	+	17.9352i	−0.550142	+	0.634898i
$799$	0.935286	−	2.04799i	0.0330880	−	0.0724527i
$800$	13.9915	+	4.10829i	0.494676	+	0.145250i
$801$	−2.32522	−	5.09152i	−0.0821575	−	0.179900i
$802$	1.70101	+	11.8308i	0.0600646	+	0.417759i
$803$	−9.18156	−	5.90063i	−0.324010	−	0.208229i
$804$	−3.70249			−0.130577
$805$	−70.3758	+	1.50286i	−2.48042	+	0.0529689i
$806$	17.4912			0.616102
$807$	11.1217	+	7.14750i	0.391504	+	0.251604i
$808$	−1.81675	−	12.6357i	−0.0639129	−	0.444524i
$809$	4.12454	+	9.03149i	0.145011	+	0.317530i	0.968175	−	0.250273i	$-0.0805205\pi$
$809$	4.12454	+	9.03149i	0.145011	+	0.317530i	−0.823164	+	0.567804i	$0.807793\pi$
$810$	4.24593	+	1.24672i	0.149187	+	0.0438052i
$811$	−8.18101	+	17.9139i	−0.287274	+	0.629042i	−0.997163	−	0.0752712i	$-0.976018\pi$
$811$	−8.18101	+	17.9139i	−0.287274	+	0.629042i	0.709889	+	0.704313i	$0.248745\pi$
$812$	−3.31206	+	3.82232i	−0.116230	+	0.134137i
$813$	3.58586	−	24.9402i	0.125762	−	0.874690i
$814$	−3.58354	+	1.05222i	−0.125603	+	0.0368804i
$815$	20.4686	+	23.6220i	0.716982	+	0.827442i
$816$	−2.53008	+	1.62599i	−0.0885706	+	0.0569209i
$817$	11.3739	−	7.30953i	0.397921	−	0.255728i
$818$	−3.44064	−	3.97071i	−0.120299	−	0.138833i
$819$	−9.62738	+	2.82685i	−0.336408	+	0.0987782i
$820$	0.670004	−	4.65998i	0.0233976	−	0.162734i
$821$	−27.0213	+	31.1842i	−0.943049	+	1.08834i	0.0529167	+	0.998599i	$0.483148\pi$
$821$	−27.0213	+	31.1842i	−0.943049	+	1.08834i	−0.995965	+	0.0897373i	$0.971397\pi$
$822$	−4.28720	+	9.38766i	−0.149533	+	0.327432i
$823$	−28.5332	−	8.37810i	−0.994605	−	0.292042i	−0.256365	−	0.966580i	$-0.582525\pi$
$823$	−28.5332	−	8.37810i	−0.994605	−	0.292042i	−0.738240	+	0.674538i	$0.764343\pi$
$824$	0.824075	+	1.80447i	0.0287080	+	0.0628618i
$825$	−4.19380	−	29.1685i	−0.146009	−	1.01552i
$826$	−5.01691	−	3.22417i	−0.174561	−	0.112183i
$827$	−39.0877			−1.35921			−0.679606	−	0.733577i	$-0.737849\pi$
$827$	−39.0877			−1.35921			−0.679606	+	0.733577i	$0.737849\pi$
$828$	0.783711	+	4.73136i	0.0272358	+	0.164426i
$829$	−49.3414			−1.71370			−0.856849	−	0.515568i	$-0.827581\pi$
$829$	−49.3414			−1.71370			−0.856849	+	0.515568i	$0.827581\pi$
$830$	15.0186	+	9.65189i	0.521304	+	0.335022i
$831$	−3.40922	−	23.7116i	−0.118264	−	0.822547i
$832$	1.25667	+	2.75172i	0.0435671	+	0.0953987i
$833$	11.5473	+	3.39060i	0.400091	+	0.117477i
$834$	5.58244	−	12.2238i	0.193304	−	0.423277i
$835$	−13.6640	+	15.7691i	−0.472864	+	0.545714i
$836$	2.05771	−	14.3117i	0.0711672	−	0.494979i
$837$	5.54784	−	1.62899i	0.191761	−	0.0563062i
$838$	3.12810	+	3.61002i	0.108059	+	0.124706i
$839$	0.0320139	−	0.0205741i	0.00110524	−	0.000710295i	−0.540088	−	0.841608i	$-0.681609\pi$
$839$	0.0320139	−	0.0205741i	0.00110524	−	0.000710295i	0.541193	+	0.840898i	$0.317973\pi$
$840$	−12.3477	+	7.93538i	−0.426036	+	0.273796i
$841$	17.4683	+	20.1595i	0.602357	+	0.695157i
$842$	26.5729	−	7.80251i	0.915763	−	0.268892i
$843$	−3.32754	+	23.1435i	−0.114606	+	0.797106i
$844$	2.61152	−	3.01386i	0.0898924	−	0.103741i
$845$	−7.07523	+	15.4926i	−0.243395	+	0.532962i
$846$	−0.718284	−	0.210907i	−0.0246951	−	0.00725114i
$847$	−9.52963	−	20.8670i	−0.327442	−	0.716998i
$848$	−1.81768	−	12.6422i	−0.0624194	−	0.434136i
$849$	−12.8017	−	8.22717i	−0.439354	−	0.282356i
$850$	43.8563			1.50426
$851$	−8.55576	−	2.31498i	−0.293288	−	0.0793564i
$852$	−4.00069			−0.137061
$853$	1.97702	+	1.27055i	0.0676919	+	0.0435030i	0.574049	−	0.818821i	$-0.305372\pi$
$853$	1.97702	+	1.27055i	0.0676919	+	0.0435030i	−0.506357	+	0.862324i	$0.669008\pi$
$854$	1.84529	+	12.8342i	0.0631444	+	0.439179i
$855$	−13.1526	−	28.8003i	−0.449811	−	0.984948i
$856$	−5.94748	−	1.74634i	−0.203281	−	0.0596886i
$857$	3.69351	−	8.08765i	0.126168	−	0.276269i	−0.835999	−	0.548732i	$-0.815111\pi$
$857$	3.69351	−	8.08765i	0.126168	−	0.276269i	0.962166	+	0.272463i	$0.0878381\pi$
$858$	4.00333	−	4.62008i	0.136671	−	0.157727i
$859$	−3.73405	+	25.9709i	−0.127404	+	0.886116i	0.821423	+	0.570320i	$0.193181\pi$
$859$	−3.73405	+	25.9709i	−0.127404	+	0.886116i	−0.948827	+	0.315796i	$0.897728\pi$
$860$	8.02332	−	2.35586i	0.273593	−	0.0803341i
$861$	2.31086	+	2.66687i	0.0787537	+	0.0908867i
$862$	−1.28145	+	0.823537i	−0.0436463	+	0.0280498i
$863$	−46.5611	+	29.9230i	−1.58496	+	1.01859i	−0.611065	+	0.791581i	$0.709259\pi$
$863$	−46.5611	+	29.9230i	−1.58496	+	1.01859i	−0.973893	+	0.227010i	$0.927105\pi$
$864$	0.654861	+	0.755750i	0.0222788	+	0.0257111i
$865$	57.1927	−	16.7933i	1.94461	−	0.570989i
$866$	4.03814	−	28.0859i	0.137221	−	0.954396i
$867$	5.20932	−	6.01187i	0.176918	−	0.204174i
$868$	−7.96694	+	17.4452i	−0.270416	+	0.592128i
$869$	−15.2448	−	4.47627i	−0.517144	−	0.151847i
$870$	−2.80308	−	6.13788i	−0.0950331	−	0.208094i
$871$	1.59398	+	11.0864i	0.0540099	+	0.375647i
$872$	5.09568	+	3.27480i	0.172562	+	0.110899i
$873$	13.2254			0.447611
$874$	21.9117	−	26.4062i	0.741175	−	0.893202i
$875$	140.645			4.75468
$876$	−4.54342	−	2.91988i	−0.153508	−	0.0986536i
$877$	−7.25678	−	50.4720i	−0.245044	−	1.70432i	−0.626081	−	0.779758i	$-0.715342\pi$
$877$	−7.25678	−	50.4720i	−0.245044	−	1.70432i	0.381037	−	0.924560i	$-0.375567\pi$
$878$	10.3723	+	22.7121i	0.350047	+	0.766495i
$879$	−5.39483	−	1.58407i	−0.181963	−	0.0534292i
$880$	3.71490	−	8.13449i	0.125229	−	0.274214i
$881$	−17.3178	+	19.9858i	−0.583450	+	0.673338i	−0.968343	−	0.249624i	$-0.919693\pi$
$881$	−17.3178	+	19.9858i	−0.583450	+	0.673338i	0.384893	+	0.922961i	$0.374239\pi$
$882$	0.569485	−	3.96085i	0.0191755	−	0.133369i
$883$	−19.7905	+	5.81101i	−0.666003	+	0.195556i	−0.597222	−	0.802076i	$-0.703729\pi$
$883$	−19.7905	+	5.81101i	−0.666003	+	0.195556i	−0.0687806	+	0.997632i	$0.521911\pi$
$884$	5.95793	+	6.87582i	0.200387	+	0.231259i
$885$	6.69329	−	4.30152i	0.224992	−	0.144594i
$886$	15.3289	−	9.85127i	0.514984	−	0.330960i
$887$	8.34865	+	9.63486i	0.280320	+	0.323507i	0.878397	−	0.477932i	$-0.158614\pi$
$887$	8.34865	+	9.63486i	0.280320	+	0.323507i	−0.598076	+	0.801439i	$0.704068\pi$
$888$	−1.77329	+	0.520684i	−0.0595076	+	0.0174730i
$889$	−5.00333	+	34.7989i	−0.167806	+	1.16712i
$890$	−16.2204	+	18.7193i	−0.543709	+	0.627474i
$891$	0.839490	−	1.83823i	0.0281240	−	0.0615829i
$892$	1.55462	+	0.456478i	0.0520525	+	0.0152840i
$893$	2.22503	+	4.87214i	0.0744578	+	0.163040i
$894$	2.96655	+	20.6328i	0.0992164	+	0.690065i
$895$	68.2684	+	43.8734i	2.28196	+	1.46653i
$896$	−3.31686			−0.110809
$897$	13.8297	−	4.38359i	0.461761	−	0.146364i
$898$	9.60417			0.320495
$899$	−7.41703	−	4.76664i	−0.247372	−	0.158976i
$900$	−2.07527	−	14.4338i	−0.0691756	−	0.481127i
$901$	−15.9572	−	34.9415i	−0.531612	−	1.16407i
$902$	−2.06287	−	0.605713i	−0.0686860	−	0.0201680i
$903$	−2.60370	+	5.70131i	−0.0866457	+	0.189728i
$904$	−2.20499	+	2.54470i	−0.0733370	+	0.0846354i
$905$	12.4611	−	86.6686i	0.414220	−	2.88096i
$906$	−8.34889	+	2.45145i	−0.277373	+	0.0814441i
$907$	−10.0368	−	11.5831i	−0.333267	−	0.384610i	0.564240	−	0.825611i	$-0.309169\pi$
$907$	−10.0368	−	11.5831i	−0.333267	−	0.384610i	−0.897507	+	0.441000i	$0.854624\pi$
$908$	19.1425	−	12.3022i	0.635267	−	0.408261i
$909$	−10.7392	+	6.90165i	−0.356196	+	0.228913i
$910$	29.0768	+	33.5564i	0.963885	+	1.11238i
$911$	25.9692	−	7.62523i	0.860396	−	0.252635i	0.178371	−	0.983963i	$-0.442917\pi$
$911$	25.9692	−	7.62523i	0.860396	−	0.252635i	0.682026	+	0.731328i	$0.261099\pi$
$912$	1.01824	−	7.08201i	0.0337173	−	0.234509i
$913$	5.33894	−	6.16146i	0.176693	−	0.203915i
$914$	−7.50937	+	16.4432i	−0.248388	+	0.543894i
$915$	−16.5981	−	4.87365i	−0.548717	−	0.161118i
$916$	−1.39167	−	3.04733i	−0.0459820	−	0.100687i
$917$	2.81651	+	19.5892i	0.0930093	+	0.646894i
$918$	2.53008	+	1.62599i	0.0835052	+	0.0536655i
$919$	4.93575			0.162815			0.0814076	−	0.996681i	$-0.474058\pi$
$919$	4.93575			0.162815			0.0814076	+	0.996681i	$0.474058\pi$
$920$	17.6044	−	11.8523i	0.580400	−	0.390758i
$921$	2.53280			0.0834585
$922$	−3.68012	−	2.36507i	−0.121198	−	0.0778895i
$923$	1.72236	+	11.9793i	0.0566921	+	0.394302i
$924$	2.78447	+	6.09715i	0.0916025	+	0.200581i
$925$	25.8585	+	7.59273i	0.850222	+	0.249648i
$926$	4.83880	−	10.5955i	0.159013	−	0.348189i
$927$	1.29907	−	1.49921i	0.0426671	−	0.0492405i
$928$	0.217006	−	1.50931i	0.00712357	−	0.0495455i
$929$	−29.0326	+	8.52473i	−0.952528	+	0.279687i	−0.720839	−	0.693103i	$-0.756243\pi$
$929$	−29.0326	+	8.52473i	−0.952528	+	0.279687i	−0.231689	+	0.972790i	$0.574425\pi$
$930$	−16.7557	−	19.3371i	−0.549440	−	0.634088i
$931$	−24.0856	+	15.4789i	−0.789375	+	0.507301i
$932$	16.4083	−	10.5450i	0.537473	−	0.345413i
$933$	8.08680	+	9.33266i	0.264750	+	0.305538i
$934$	−14.8640	+	4.36446i	−0.486364	+	0.142809i
$935$	3.82757	−	26.6213i	0.125175	−	0.870610i
$936$	1.98101	−	2.28621i	0.0647515	−	0.0747272i
$937$	5.16387	−	11.3073i	0.168696	−	0.369394i	−0.806335	−	0.591458i	$-0.798552\pi$
$937$	5.16387	−	11.3073i	0.168696	−	0.369394i	0.975032	+	0.222065i	$0.0712797\pi$
$938$	−11.7832	−	3.45986i	−0.384735	−	0.112968i
$939$	−3.69735	−	8.09606i	−0.120658	−	0.264205i
$940$	0.471450	+	3.27901i	0.0153770	+	0.106949i
$941$	14.4928	+	9.31398i	0.472453	+	0.303627i	0.755115	−	0.655593i	$-0.227581\pi$
$941$	14.4928	+	9.31398i	0.472453	+	0.303627i	−0.282662	+	0.959220i	$0.591217\pi$
$942$	22.6874			0.739196
$943$	−3.42281	−	3.78379i	−0.111462	−	0.123217i
$944$	1.79797			0.0585188
$945$	12.3477	+	7.93538i	0.401670	+	0.258138i
$946$	−0.543457	−	3.77982i	−0.0176693	−	0.122893i
$947$	−9.29826	−	20.3604i	−0.302153	−	0.661623i	0.696269	−	0.717781i	$-0.254842\pi$
$947$	−9.29826	−	20.3604i	−0.302153	−	0.661623i	−0.998422	+	0.0561583i	$0.982115\pi$
$948$	−7.54376	−	2.21505i	−0.245010	−	0.0719414i
$949$	−6.78698	+	14.8614i	−0.220315	+	0.482422i
$950$	−68.3239	+	78.8500i	−2.21672	+	2.55823i
$951$	−1.00294	+	6.97560i	−0.0325226	+	0.226199i
$952$	−9.57144	+	2.81043i	−0.310212	+	0.0910865i
$953$	20.9733	+	24.2045i	0.679393	+	0.784061i	0.985815	−	0.167835i	$-0.0536775\pi$
$953$	20.9733	+	24.2045i	0.679393	+	0.784061i	−0.306423	+	0.951896i	$0.599132\pi$
$954$	−10.7447	+	6.90520i	−0.347872	+	0.223564i
$955$	−63.8414	+	41.0284i	−2.06586	+	1.32765i
$956$	−9.86223	−	11.3816i	−0.318967	−	0.368108i
$957$	−2.95663	+	0.868144i	−0.0955742	+	0.0280631i
$958$	−1.32534	+	9.21791i	−0.0428196	+	0.297817i
$959$	−22.4165	+	25.8700i	−0.723867	+	0.835387i
$960$	1.83829	−	4.02529i	0.0593304	−	0.129916i
$961$	−2.33358	−	0.685201i	−0.0752768	−	0.0221033i
$962$	2.32251	+	5.08559i	0.0748808	+	0.163966i
$963$	0.882147	+	6.13547i	0.0284268	+	0.197713i
$964$	−16.6388	−	10.6931i	−0.535899	−	0.344401i
$965$	−56.1390			−1.80718
$966$	−1.92714	+	15.7899i	−0.0620048	+	0.508033i
$967$	34.6187			1.11326			0.556631	−	0.830760i	$-0.312094\pi$
$967$	34.6187			1.11326			0.556631	+	0.830760i	$0.312094\pi$
$968$	5.81826	+	3.73917i	0.187006	+	0.120181i
$969$	−3.06237	−	21.2993i	−0.0983775	−	0.684231i
$970$	−24.3120	−	53.2359i	−0.780612	−	1.70930i
$971$	−9.03777	−	2.65373i	−0.290036	−	0.0851622i	0.133478	−	0.991052i	$-0.457385\pi$
$971$	−9.03777	−	2.65373i	−0.290036	−	0.0851622i	−0.423514	+	0.905890i	$0.639204\pi$
$972$	0.415415	−	0.909632i	0.0133244	−	0.0291765i
$973$	29.1890	−	33.6858i	0.935755	−	1.07992i
$974$	1.56567	−	10.8895i	0.0501672	−	0.348921i
$975$	−42.3257	+	12.4279i	−1.35551	+	0.398013i
$976$	−2.55997	−	2.95436i	−0.0819426	−	0.0945668i
$977$	25.2484	−	16.2262i	0.807768	−	0.519121i	−0.0703741	−	0.997521i	$-0.522419\pi$
$977$	25.2484	−	16.2262i	0.807768	−	0.519121i	0.878142	+	0.478400i	$0.158783\pi$
$978$	5.94202	−	3.81870i	0.190005	−	0.122109i
$979$	7.40737	+	8.54856i	0.236740	+	0.273213i
$980$	−16.9904	+	4.98884i	−0.542740	+	0.159363i
$981$	0.862036	−	5.99560i	0.0275227	−	0.191425i
$982$	−20.7300	+	23.9237i	−0.661522	+	0.763437i
$983$	12.9338	−	28.3211i	0.412524	−	0.903302i	−0.583321	−	0.812242i	$-0.698247\pi$
$983$	12.9338	−	28.3211i	0.412524	−	0.903302i	0.995845	−	0.0910604i	$-0.0290256\pi$
$984$	−1.02079	−	0.299732i	−0.0325417	−	0.00955511i
$985$	−9.13012	−	19.9922i	−0.290910	−	0.637004i
$986$	−0.652649	−	4.53927i	−0.0207846	−	0.144560i
$987$	−2.08886	−	1.34243i	−0.0664891	−	0.0427299i
$988$	−21.6440			−0.688588
$989$	3.58782	−	8.32198i	0.114086	−	0.264624i
$990$	−8.94261			−0.284215
$991$	−28.3247	−	18.2032i	−0.899764	−	0.578243i	0.00695607	−	0.999976i	$-0.497786\pi$
$991$	−28.3247	−	18.2032i	−0.899764	−	0.578243i	−0.906720	+	0.421732i	$0.861422\pi$
$992$	−0.822871	−	5.72320i	−0.0261262	−	0.181712i
$993$	14.0060	+	30.6689i	0.444468	+	0.973248i
$994$	−12.7322	−	3.73851i	−0.403841	−	0.118578i
$995$	−7.60042	+	16.6426i	−0.240949	+	0.527606i
$996$	2.64193	−	3.04895i	0.0837128	−	0.0966097i
$997$	3.99515	−	27.7869i	0.126528	−	0.880019i	−0.823380	−	0.567490i	$-0.807915\pi$
$997$	3.99515	−	27.7869i	0.126528	−	0.880019i	0.949908	−	0.312529i	$-0.101176\pi$
$998$	−15.7067	+	4.61190i	−0.497187	+	0.145987i
$999$	1.21028	+	1.39674i	0.0382916	+	0.0441909i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	138.2.e.c.25.1	✓	10
3.2	odd	2		414.2.i.b.163.1		10
23.9	even	11		3174.2.a.z.1.5		5
23.12	even	11	inner	138.2.e.c.127.1	yes	10
23.14	odd	22		3174.2.a.y.1.1		5
69.14	even	22		9522.2.a.ca.1.5		5
69.32	odd	22		9522.2.a.bv.1.1		5
69.35	odd	22		414.2.i.b.127.1		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
138.2.e.c.25.1	✓	10	1.1	even	1	trivial
138.2.e.c.127.1	yes	10	23.12	even	11	inner
414.2.i.b.127.1		10	69.35	odd	22
414.2.i.b.163.1		10	3.2	odd	2
3174.2.a.y.1.1		5	23.14	odd	22
3174.2.a.z.1.5		5	23.9	even	11
9522.2.a.bv.1.1		5	69.32	odd	22
9522.2.a.ca.1.5		5	69.14	even	22

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:	\( N \)	\(=\)	\( 138 = 2 \cdot 3 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	138.e (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-4.24593 - 1.24672i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(-2.17208 + 2.50672i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +O(q^{10})\)	\(q+(-0.841254 - 0.540641i) q^{2} +(-0.142315 - 0.989821i) q^{3} +(0.415415 + 0.909632i) q^{4} +(-4.24593 - 1.24672i) q^{5} +(-0.415415 + 0.909632i) q^{6} +(-2.17208 + 2.50672i) q^{7} +(0.142315 - 0.989821i) q^{8} +(-0.959493 + 0.281733i) q^{9} +(2.89788 + 3.34433i) q^{10} +(1.70004 - 1.09255i) q^{11} +(0.841254 - 0.540641i) q^{12} +(-1.98101 - 2.28621i) q^{13} +(3.18251 - 0.934468i) q^{14} +(-0.629769 + 4.38014i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(-1.24937 + 2.73573i) q^{17} +(0.959493 + 0.281733i) q^{18} +(-2.97223 - 6.50827i) q^{19} +(-0.629769 - 4.38014i) q^{20} +(2.79032 + 1.79323i) q^{21} -2.02085 q^{22} +(-4.08895 - 2.50609i) q^{23} -1.00000 q^{24} +(12.2674 + 7.88375i) q^{25} +(0.430515 + 2.99430i) q^{26} +(0.415415 + 0.909632i) q^{27} +(-3.18251 - 0.934468i) q^{28} +(0.633437 - 1.38703i) q^{29} +(2.89788 - 3.34433i) q^{30} +(0.822871 - 5.72320i) q^{31} +(0.959493 - 0.281733i) q^{32} +(-1.32337 - 1.52725i) q^{33} +(2.53008 - 1.62599i) q^{34} +(12.3477 - 7.93538i) q^{35} +(-0.654861 - 0.755750i) q^{36} +(1.77329 - 0.520684i) q^{37} +(-1.01824 + 7.08201i) q^{38} +(-1.98101 + 2.28621i) q^{39} +(-1.83829 + 4.02529i) q^{40} +(1.02079 + 0.299732i) q^{41} +(-1.37787 - 3.01713i) q^{42} +(0.268925 + 1.87042i) q^{43} +(1.70004 + 1.09255i) q^{44} +4.42518 q^{45} +(2.08494 + 4.31891i) q^{46} -0.748608 q^{47} +(0.841254 + 0.540641i) q^{48} +(-0.569485 - 3.96085i) q^{49} +(-6.05768 - 13.2645i) q^{50} +(2.88569 + 0.847315i) q^{51} +(1.25667 - 2.75172i) q^{52} +(-8.36404 + 9.65262i) q^{53} +(0.142315 - 0.989821i) q^{54} +(-8.58038 + 2.51943i) q^{55} +(2.17208 + 2.50672i) q^{56} +(-6.01903 + 3.86820i) q^{57} +(-1.28277 + 0.824385i) q^{58} +(-1.17742 - 1.35881i) q^{59} +(-4.24593 + 1.24672i) q^{60} +(-0.556335 + 3.86939i) q^{61} +(-3.78644 + 4.36978i) q^{62} +(1.37787 - 3.01713i) q^{63} +(-0.959493 - 0.281733i) q^{64} +(5.56099 + 12.1769i) q^{65} +(0.287597 + 2.00028i) q^{66} +(-3.11473 - 2.00172i) q^{67} -3.00752 q^{68} +(-1.89867 + 4.40398i) q^{69} -14.6777 q^{70} +(-3.36559 - 2.16293i) q^{71} +(0.142315 + 0.989821i) q^{72} +(-2.24356 - 4.91272i) q^{73} +(-1.77329 - 0.520684i) q^{74} +(6.05768 - 13.2645i) q^{75} +(4.68542 - 5.40726i) q^{76} +(-0.953918 + 6.63465i) q^{77} +(2.90255 - 0.852267i) q^{78} +(-5.14867 - 5.94188i) q^{79} +(3.72270 - 2.39243i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-0.696699 - 0.804033i) q^{82} +(3.87092 - 1.13660i) q^{83} +(-0.472039 + 3.28310i) q^{84} +(8.71541 - 10.0581i) q^{85} +(0.784989 - 1.71889i) q^{86} +(-1.46306 - 0.429594i) q^{87} +(-0.839490 - 1.83823i) q^{88} +(0.796584 + 5.54036i) q^{89} +(-3.72270 - 2.39243i) q^{90} +10.0338 q^{91} +(0.581014 - 4.76051i) q^{92} -5.78205 q^{93} +(0.629769 + 0.404728i) q^{94} +(4.50589 + 31.3392i) q^{95} +(-0.415415 - 0.909632i) q^{96} +(-12.6897 - 3.72602i) q^{97} +(-1.66232 + 3.63997i) q^{98} +(-1.32337 + 1.52725i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9}+O(q^{10}) \) 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9	\( 10 q + q^{2} - q^{3} - q^{4} + q^{6} - 2 q^{7} + q^{8} - q^{9} + 11 q^{10} + 11 q^{11} - q^{12} - 13 q^{13} + 13 q^{14} - 11 q^{15} - q^{16} + q^{18} - 2 q^{19} - 11 q^{20} + 9 q^{21} - 22 q^{22} - 10 q^{23} - 10 q^{24} + 5 q^{25} - 9 q^{26} - q^{27} - 13 q^{28} - 27 q^{29} + 11 q^{30} - 18 q^{31} + q^{32} + 33 q^{34} + 44 q^{35} - q^{36} - q^{37} + 13 q^{38} - 13 q^{39} - 11 q^{40} - 16 q^{41} + 2 q^{42} + 20 q^{43} + 11 q^{44} + 22 q^{45} - q^{46} - q^{48} - 19 q^{49} - 27 q^{50} - 11 q^{51} - 2 q^{52} - q^{53} + q^{54} + 33 q^{55} + 2 q^{56} - 13 q^{57} - 17 q^{58} - q^{59} - 34 q^{61} - 4 q^{62} - 2 q^{63} - q^{64} + 11 q^{65} + 8 q^{67} + 22 q^{68} + 23 q^{69} + 22 q^{70} - 22 q^{71} + q^{72} + 31 q^{73} + q^{74} + 27 q^{75} - 2 q^{76} + 22 q^{77} + 2 q^{78} + 32 q^{79} - q^{81} - 28 q^{82} + 33 q^{83} + 9 q^{84} - 11 q^{85} - 20 q^{86} + 6 q^{87} + 22 q^{88} - 23 q^{89} + 18 q^{91} + 23 q^{92} + 4 q^{93} + 11 q^{94} - 22 q^{95} + q^{96} - q^{97} - 14 q^{98}+O(q^{100}) \) 10 * q + q^2 - q^3 - q^4 + q^6 - 2 * q^7 + q^8 - q^9 + 11 * q^10 + 11 * q^11 - q^12 - 13 * q^13 + 13 * q^14 - 11 * q^15 - q^16 + q^18 - 2 * q^19 - 11 * q^20 + 9 * q^21 - 22 * q^22 - 10 * q^23 - 10 * q^24 + 5 * q^25 - 9 * q^26 - q^27 - 13 * q^28 - 27 * q^29 + 11 * q^30 - 18 * q^31 + q^32 + 33 * q^34 + 44 * q^35 - q^36 - q^37 + 13 * q^38 - 13 * q^39 - 11 * q^40 - 16 * q^41 + 2 * q^42 + 20 * q^43 + 11 * q^44 + 22 * q^45 - q^46 - q^48 - 19 * q^49 - 27 * q^50 - 11 * q^51 - 2 * q^52 - q^53 + q^54 + 33 * q^55 + 2 * q^56 - 13 * q^57 - 17 * q^58 - q^59 - 34 * q^61 - 4 * q^62 - 2 * q^63 - q^64 + 11 * q^65 + 8 * q^67 + 22 * q^68 + 23 * q^69 + 22 * q^70 - 22 * q^71 + q^72 + 31 * q^73 + q^74 + 27 * q^75 - 2 * q^76 + 22 * q^77 + 2 * q^78 + 32 * q^79 - q^81 - 28 * q^82 + 33 * q^83 + 9 * q^84 - 11 * q^85 - 20 * q^86 + 6 * q^87 + 22 * q^88 - 23 * q^89 + 18 * q^91 + 23 * q^92 + 4 * q^93 + 11 * q^94 - 22 * q^95 + q^96 - q^97 - 14 * q^98

Introduction

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