LMFDB - Embedded newform 260.2.p.d.103.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(103,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

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

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

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

chi := DirichletCharacter("260.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.p (of order $4$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			103.2
Character	$\chi$	$=$	260.103
Dual form			260.2.p.d.207.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.36804 - 0.358430i) q^{2} +(1.80624 - 1.80624i) q^{3} +(1.74306 + 0.980692i) q^{4} +(1.12997 - 1.92955i) q^{5} +(-3.11841 + 1.82359i) q^{6} +(-0.163803 + 0.163803i) q^{7} +(-2.03306 - 1.96639i) q^{8} -3.52499i q^{9} +O(q^{10})$	\(q+(-1.36804 - 0.358430i) q^{2} +(1.80624 - 1.80624i) q^{3} +(1.74306 + 0.980692i) q^{4} +(1.12997 - 1.92955i) q^{5} +(-3.11841 + 1.82359i) q^{6} +(-0.163803 + 0.163803i) q^{7} +(-2.03306 - 1.96639i) q^{8} -3.52499i q^{9} +(-2.23745 + 2.23468i) q^{10} +5.50310 q^{11} +(4.91974 - 1.37701i) q^{12} +(-3.60119 + 0.177198i) q^{13} +(0.282801 - 0.165377i) q^{14} +(-1.44422 - 5.52622i) q^{15} +(2.07649 + 3.41880i) q^{16} +(-5.33812 + 5.33812i) q^{17} +(-1.26346 + 4.82232i) q^{18} +3.95414i q^{19} +(3.86190 - 2.25516i) q^{20} +0.591735i q^{21} +(-7.52845 - 1.97248i) q^{22} +(3.90248 - 3.90248i) q^{23} +(-7.22395 + 0.120419i) q^{24} +(-2.44632 - 4.36068i) q^{25} +(4.99008 + 1.04836i) q^{26} +(-0.948252 - 0.948252i) q^{27} +(-0.446159 + 0.124878i) q^{28} -2.85390i q^{29} +(-0.00501172 + 8.07774i) q^{30} -4.84261 q^{31} +(-1.61531 - 5.42133i) q^{32} +(9.93990 - 9.93990i) q^{33} +(9.21610 - 5.38941i) q^{34} +(0.130973 + 0.501160i) q^{35} +(3.45693 - 6.14425i) q^{36} +(-1.81836 - 1.81836i) q^{37} +(1.41729 - 5.40942i) q^{38} +(-6.18455 + 6.82467i) q^{39} +(-6.09154 + 1.70092i) q^{40} -1.07125i q^{41} +(0.212096 - 0.809516i) q^{42} +(-2.39102 + 2.39102i) q^{43} +(9.59220 + 5.39684i) q^{44} +(-6.80164 - 3.98314i) q^{45} +(-6.73750 + 3.93997i) q^{46} +(2.94373 - 2.94373i) q^{47} +(9.92579 + 2.42454i) q^{48} +6.94634i q^{49} +(1.78366 + 6.84241i) q^{50} +19.2838i q^{51} +(-6.45086 - 3.22280i) q^{52} +(7.51087 + 7.51087i) q^{53} +(0.957363 + 1.63713i) q^{54} +(6.21835 - 10.6185i) q^{55} +(0.655122 - 0.0109205i) q^{56} +(7.14212 + 7.14212i) q^{57} +(-1.02292 + 3.90424i) q^{58} +3.40057i q^{59} +(2.90216 - 11.0489i) q^{60} -3.68135 q^{61} +(6.62488 + 1.73574i) q^{62} +(0.577405 + 0.577405i) q^{63} +(0.266636 + 7.99556i) q^{64} +(-3.72734 + 7.14891i) q^{65} +(-17.1609 + 10.0354i) q^{66} +(-2.55946 + 2.55946i) q^{67} +(-14.5397 + 4.06959i) q^{68} -14.0976i q^{69} +(0.000454500 - 0.732551i) q^{70} -0.845000 q^{71} +(-6.93149 + 7.16650i) q^{72} +(3.98883 - 3.98883i) q^{73} +(1.83583 + 3.13935i) q^{74} +(-12.2951 - 3.45778i) q^{75} +(-3.87780 + 6.89229i) q^{76} +(-0.901426 + 0.901426i) q^{77} +(10.9069 - 7.11968i) q^{78} +6.47326 q^{79} +(8.94312 - 0.143526i) q^{80} +7.14942 q^{81} +(-0.383968 + 1.46551i) q^{82} +(8.45583 + 8.45583i) q^{83} +(-0.580310 + 1.03143i) q^{84} +(4.26824 + 16.3321i) q^{85} +(4.12802 - 2.41399i) q^{86} +(-5.15482 - 5.15482i) q^{87} +(-11.1881 - 10.8212i) q^{88} -8.36507 q^{89} +(7.87722 + 7.88700i) q^{90} +(0.560862 - 0.618913i) q^{91} +(10.6294 - 2.97510i) q^{92} +(-8.74691 + 8.74691i) q^{93} +(-5.08226 + 2.97202i) q^{94} +(7.62972 + 4.46808i) q^{95} +(-12.7098 - 6.87457i) q^{96} +(6.74011 + 6.74011i) q^{97} +(2.48978 - 9.50285i) q^{98} -19.3983i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q+O(q^{10}) $ 64 * q	$ 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) $ 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	−1.36804	−	0.358430i	−0.967349	−	0.253448i
$2$	−1.36804	−	0.358430i	−0.967349	−	0.253448i
$3$	1.80624	−	1.80624i	1.04283	−	1.04283i	0.0437910	−	0.999041i	$-0.486056\pi$
$3$	1.80624	−	1.80624i	1.04283	−	1.04283i	0.999041	−	0.0437910i	$-0.0139436\pi$
$4$	1.74306	+	0.980692i	0.871528	+	0.490346i
$5$	1.12997	−	1.92955i	0.505339	−	0.862921i
$5$	1.12997	−	1.92955i	0.505339	−	0.862921i
$6$	−3.11841	+	1.82359i	−1.27309	+	0.744478i
$7$	−0.163803	+	0.163803i	−0.0619118	+	0.0619118i	−0.737385	−	0.675473i	$-0.763940\pi$
$7$	−0.163803	+	0.163803i	−0.0619118	+	0.0619118i	0.675473	+	0.737385i	$0.263940\pi$
$8$	−2.03306	−	1.96639i	−0.718794	−	0.695223i
$9$		−	3.52499i		−	1.17500i
$10$	−2.23745	+	2.23468i	−0.707545	+	0.706668i
$11$	5.50310			1.65925			0.829623	−	0.558324i	$-0.188555\pi$
$11$	5.50310			1.65925			0.829623	+	0.558324i	$0.188555\pi$
$12$	4.91974	−	1.37701i	1.42021	−	0.397508i
$13$	−3.60119	+	0.177198i	−0.998792	+	0.0491458i
$13$	−3.60119	+	0.177198i	−0.998792	+	0.0491458i
$14$	0.282801	−	0.165377i	0.0755818	−	0.0441989i
$15$	−1.44422	−	5.52622i	−0.372897	−	1.42686i
$16$	2.07649	+	3.41880i	0.519121	+	0.854701i
$17$	−5.33812	+	5.33812i	−1.29468	+	1.29468i	−0.362829	+	0.931856i	$0.618189\pi$
$17$	−5.33812	+	5.33812i	−1.29468	+	1.29468i	−0.931856	+	0.362829i	$0.881811\pi$
$18$	−1.26346	+	4.82232i	−0.297801	+	1.13663i
$19$			3.95414i			0.907143i	0.891220	+	0.453572i	$0.149850\pi$
$19$			3.95414i			0.907143i	−0.891220	+	0.453572i	$0.850150\pi$
$20$	3.86190	−	2.25516i	0.863547	−	0.504268i
$21$			0.591735i			0.129127i
$22$	−7.52845	−	1.97248i	−1.60507	−	0.420533i
$23$	3.90248	−	3.90248i	0.813722	−	0.813722i	−0.171467	−	0.985190i	$-0.554851\pi$
$23$	3.90248	−	3.90248i	0.813722	−	0.813722i	0.985190	+	0.171467i	$0.0548508\pi$
$24$	−7.22395	+	0.120419i	−1.47458	+	0.0245804i
$25$	−2.44632	−	4.36068i	−0.489264	−	0.872136i
$26$	4.99008	+	1.04836i	0.978636	+	0.205601i
$27$	−0.948252	−	0.948252i	−0.182491	−	0.182491i
$28$	−0.446159	+	0.124878i	−0.0843161	+	0.0235997i
$29$		−	2.85390i		−	0.529955i	−0.964255	−	0.264978i	$-0.914635\pi$
$29$		−	2.85390i		−	0.529955i	0.964255	−	0.264978i	$-0.0853646\pi$
$30$	−0.00501172	+	8.07774i	−0.000915010	+	1.47479i
$31$	−4.84261			−0.869759			−0.434880	−	0.900489i	$-0.643209\pi$
$31$	−4.84261			−0.869759			−0.434880	+	0.900489i	$0.643209\pi$
$32$	−1.61531	−	5.42133i	−0.285549	−	0.958364i
$33$	9.93990	−	9.93990i	1.73031	−	1.73031i
$34$	9.21610	−	5.38941i	1.58055	−	0.924276i
$35$	0.130973	+	0.501160i	0.0221385	+	0.0847115i
$36$	3.45693	−	6.14425i	0.576155	−	1.02404i
$37$	−1.81836	−	1.81836i	−0.298937	−	0.298937i	0.541660	−	0.840597i	$-0.317796\pi$
$37$	−1.81836	−	1.81836i	−0.298937	−	0.298937i	−0.840597	+	0.541660i	$0.817796\pi$
$38$	1.41729	−	5.40942i	0.229914	−	0.877524i
$39$	−6.18455	+	6.82467i	−0.990321	+	1.09282i
$40$	−6.09154	+	1.70092i	−0.963157	+	0.268939i
$41$		−	1.07125i		−	0.167301i	−0.996495	−	0.0836505i	$-0.973342\pi$
$41$		−	1.07125i		−	0.167301i	0.996495	−	0.0836505i	$-0.0266579\pi$
$42$	0.212096	−	0.809516i	0.0327271	−	0.124911i
$43$	−2.39102	+	2.39102i	−0.364627	+	0.364627i	−0.865513	−	0.500886i	$-0.833008\pi$
$43$	−2.39102	+	2.39102i	−0.364627	+	0.364627i	0.500886	+	0.865513i	$0.333008\pi$
$44$	9.59220	+	5.39684i	1.44608	+	0.813605i
$45$	−6.80164	−	3.98314i	−1.01393	−	0.593772i
$46$	−6.73750	+	3.93997i	−0.993390	+	0.580917i
$47$	2.94373	−	2.94373i	0.429388	−	0.429388i	−0.459032	−	0.888420i	$-0.651804\pi$
$47$	2.94373	−	2.94373i	0.429388	−	0.429388i	0.888420	+	0.459032i	$0.151804\pi$
$48$	9.92579	+	2.42454i	1.43267	+	0.349953i
$49$			6.94634i			0.992334i
$50$	1.78366	+	6.84241i	0.252248	+	0.967663i
$51$			19.2838i			2.70028i
$52$	−6.45086	−	3.22280i	−0.894573	−	0.446922i
$53$	7.51087	+	7.51087i	1.03170	+	1.03170i	0.999481	+	0.0322169i	$0.0102567\pi$
$53$	7.51087	+	7.51087i	1.03170	+	1.03170i	0.0322169	+	0.999481i	$0.489743\pi$
$54$	0.957363	+	1.63713i	0.130281	+	0.222785i
$55$	6.21835	−	10.6185i	0.838482	−	1.43180i
$56$	0.655122	−	0.0109205i	0.0875444	−	0.00145931i
$57$	7.14212	+	7.14212i	0.945998	+	0.945998i
$58$	−1.02292	+	3.90424i	−0.134316	+	0.512652i
$59$			3.40057i			0.442717i	0.975193	+	0.221358i	$0.0710491\pi$
$59$			3.40057i			0.442717i	−0.975193	+	0.221358i	$0.928951\pi$
$60$	2.90216	−	11.0489i	0.374667	−	1.42640i
$61$	−3.68135			−0.471348			−0.235674	−	0.971832i	$-0.575730\pi$
$61$	−3.68135			−0.471348			−0.235674	+	0.971832i	$0.575730\pi$
$62$	6.62488	+	1.73574i	0.841360	+	0.220439i
$63$	0.577405	+	0.577405i	0.0727462	+	0.0727462i
$64$	0.266636	+	7.99556i	0.0333295	+	0.999444i
$65$	−3.72734	+	7.14891i	−0.462320	+	0.886713i
$66$	−17.1609	+	10.0354i	−2.11236	+	1.23527i
$67$	−2.55946	+	2.55946i	−0.312688	+	0.312688i	−0.845950	−	0.533262i	$-0.820966\pi$
$67$	−2.55946	+	2.55946i	−0.312688	+	0.312688i	0.533262	+	0.845950i	$0.320966\pi$
$68$	−14.5397	+	4.06959i	−1.76320	+	0.493510i
$69$		−	14.0976i		−	1.69715i
$70$	0.000454500	−	0.732551i	5.43232e−5	−	0.0875565i
$71$	−0.845000			−0.100283			−0.0501415	−	0.998742i	$-0.515967\pi$
$71$	−0.845000			−0.100283			−0.0501415	+	0.998742i	$0.515967\pi$
$72$	−6.93149	+	7.16650i	−0.816884	+	0.844580i
$73$	3.98883	−	3.98883i	0.466857	−	0.466857i	−0.434037	−	0.900895i	$-0.642911\pi$
$73$	3.98883	−	3.98883i	0.466857	−	0.466857i	0.900895	+	0.434037i	$0.142911\pi$
$74$	1.83583	+	3.13935i	0.213411	+	0.364942i
$75$	−12.2951	−	3.45778i	−1.41971	−	0.399270i
$76$	−3.87780	+	6.89229i	−0.444814	+	0.790600i
$77$	−0.901426	+	0.901426i	−0.102727	+	0.102727i
$78$	10.9069	−	7.11968i	1.23496	−	0.806145i
$79$	6.47326			0.728298			0.364149	−	0.931341i	$-0.381360\pi$
$79$	6.47326			0.728298			0.364149	+	0.931341i	$0.381360\pi$
$80$	8.94312	−	0.143526i	0.999871	−	0.0160467i
$81$	7.14942			0.794381
$82$	−0.383968	+	1.46551i	−0.0424022	+	0.161838i
$83$	8.45583	+	8.45583i	0.928148	+	0.928148i	0.997586	−	0.0694385i	$-0.0221208\pi$
$83$	8.45583	+	8.45583i	0.928148	+	0.928148i	−0.0694385	+	0.997586i	$0.522121\pi$
$84$	−0.580310	+	1.03143i	−0.0633170	+	0.112538i
$85$	4.26824	+	16.3321i	0.462955	+	1.77147i
$86$	4.12802	−	2.41399i	0.445136	−	0.260307i
$87$	−5.15482	−	5.15482i	−0.552654	−	0.552654i
$88$	−11.1881	−	10.8212i	−1.19266	−	1.15355i
$89$	−8.36507			−0.886696			−0.443348	−	0.896350i	$-0.646209\pi$
$89$	−8.36507			−0.886696			−0.443348	+	0.896350i	$0.646209\pi$
$90$	7.87722	+	7.88700i	0.830332	+	0.831363i
$91$	0.560862	−	0.618913i	0.0587943	−	0.0648797i
$92$	10.6294	−	2.97510i	1.10819	−	0.310176i
$93$	−8.74691	+	8.74691i	−0.907012	+	0.907012i
$94$	−5.08226	+	2.97202i	−0.524195	+	0.306540i
$95$	7.62972	+	4.46808i	0.782793	+	0.458415i
$96$	−12.7098	−	6.87457i	−1.29719	−	0.701633i
$97$	6.74011	+	6.74011i	0.684354	+	0.684354i	0.960978	−	0.276624i	$-0.0892157\pi$
$97$	6.74011	+	6.74011i	0.684354	+	0.684354i	−0.276624	+	0.960978i	$0.589216\pi$
$98$	2.48978	−	9.50285i	0.251505	−	0.959933i
$99$		−	19.3983i		−	1.94961i
$100$	0.0124087	−	9.99999i	0.00124087	−	0.999999i
$101$	4.74976			0.472618			0.236309	−	0.971678i	$-0.424062\pi$
$101$	4.74976			0.472618			0.236309	+	0.971678i	$0.424062\pi$
$102$	6.91191	−	26.3810i	0.684381	−	2.61211i
$103$	−3.08067	+	3.08067i	−0.303548	+	0.303548i	−0.842400	−	0.538852i	$-0.818858\pi$
$103$	−3.08067	+	3.08067i	−0.303548	+	0.303548i	0.538852	+	0.842400i	$0.318858\pi$
$104$	7.66987	+	6.72109i	0.752093	+	0.659057i
$105$	1.14178	+	0.668645i	0.111427	+	0.0652531i
$106$	−7.58304	−	12.9673i	−0.736530	−	1.25949i
$107$	−5.32573	−	5.32573i	−0.514858	−	0.514858i	0.401153	−	0.916011i	$-0.368610\pi$
$107$	−5.32573	−	5.32573i	−0.514858	−	0.514858i	−0.916011	+	0.401153i	$0.868610\pi$
$108$	−0.722913	−	2.58280i	−0.0695623	−	0.248530i
$109$	−4.54240			−0.435083			−0.217541	−	0.976051i	$-0.569804\pi$
$109$	−4.54240			−0.435083			−0.217541	+	0.976051i	$0.569804\pi$
$110$	−12.3129	+	12.2977i	−1.17399	+	1.17254i
$111$	−6.56879			−0.623482
$112$	−0.900146	−	0.219876i	−0.0850558	−	0.0207763i
$113$	−5.38073	−	5.38073i	−0.506176	−	0.506176i	0.407174	−	0.913351i	$-0.366514\pi$
$113$	−5.38073	−	5.38073i	−0.506176	−	0.506176i	−0.913351	+	0.407174i	$0.866514\pi$
$114$	−7.21074	−	12.3307i	−0.675348	−	1.15487i
$115$	−3.12033	−	11.9397i	−0.290972	−	1.11338i
$116$	2.79880	−	4.97450i	0.259862	−	0.461871i
$117$	0.624619	+	12.6942i	0.0577461	+	1.17358i
$118$	1.21887	−	4.65211i	0.112206	−	0.428262i
$119$		−	1.74880i		−	0.160313i
$120$	−7.93051	+	14.0750i	−0.723953	+	1.28487i
$121$	19.2841			1.75310
$122$	5.03622	+	1.31951i	0.455958	+	0.119462i
$123$	−1.93493	−	1.93493i	−0.174467	−	0.174467i
$124$	−8.44094	−	4.74911i	−0.758019	−	0.426483i
$125$	−11.1784	−	0.207150i	−0.999828	−	0.0185281i
$126$	−0.582952	−	0.996871i	−0.0519335	−	0.0888083i
$127$	−1.90930	−	1.90930i	−0.169423	−	0.169423i	0.617303	−	0.786726i	$-0.288225\pi$
$127$	−1.90930	−	1.90930i	−0.169423	−	0.169423i	−0.786726	+	0.617303i	$0.788225\pi$
$128$	2.50108	−	11.0338i	0.221066	−	0.975259i
$129$			8.63750i			0.760489i
$130$	7.66153	−	8.44399i	0.671961	−	0.740587i
$131$		−	12.9187i		−	1.12871i	−0.825531	−	0.564357i	$-0.809124\pi$
$131$		−	12.9187i		−	1.12871i	0.825531	−	0.564357i	$-0.190876\pi$
$132$	27.0738	−	7.57781i	2.35647	−	0.659564i
$133$	−0.647702	−	0.647702i	−0.0561629	−	0.0561629i
$134$	4.41883	−	2.58405i	0.381729	−	0.223228i
$135$	−2.90120	+	0.758200i	−0.249696	+	0.0652555i
$136$	21.3495	−	0.355884i	1.83071	−	0.0305168i
$137$	−8.36256	−	8.36256i	−0.714462	−	0.714462i	0.253003	−	0.967465i	$-0.418582\pi$
$137$	−8.36256	−	8.36256i	−0.714462	−	0.714462i	−0.967465	+	0.253003i	$0.918582\pi$
$138$	−5.05300	+	19.2860i	−0.430140	+	1.64174i
$139$	8.68654			0.736782			0.368391	−	0.929671i	$-0.379909\pi$
$139$	8.68654			0.736782			0.368391	+	0.929671i	$0.379909\pi$
$140$	−0.263190	+	1.00199i	−0.0222436	+	0.0846840i
$141$		−	10.6342i		−	0.895558i
$142$	1.15599	+	0.302874i	0.0970087	+	0.0254166i
$143$	−19.8177	+	0.975136i	−1.65724	+	0.0815450i
$144$	12.0512	−	7.31959i	1.00427	−	0.609965i
$145$	−5.50674	−	3.22483i	−0.457310	−	0.267807i
$146$	−6.88659	+	4.02715i	−0.569938	+	0.333290i
$147$	12.5467	+	12.5467i	1.03484	+	1.03484i
$148$	−1.38625	−	4.95276i	−0.113949	−	0.407115i
$149$	0.123061			0.0100815			0.00504077	−	0.999987i	$-0.498395\pi$
$149$	0.123061			0.0100815			0.00504077	+	0.999987i	$0.498395\pi$
$150$	15.5807	+	9.13730i	1.27216	+	0.746057i
$151$	−10.1462			−0.825688			−0.412844	−	0.910802i	$-0.635465\pi$
$151$	−10.1462			−0.825688			−0.412844	+	0.910802i	$0.635465\pi$
$152$	7.77538	−	8.03900i	0.630667	−	0.652049i
$153$	18.8168	+	18.8168i	1.52125	+	1.52125i
$154$	1.55628	−	0.910086i	0.125409	−	0.0733368i
$155$	−5.47202	+	9.34406i	−0.439523	+	0.750533i
$156$	−17.4729	+	5.83064i	−1.39895	+	0.466825i
$157$	−1.00798	+	1.00798i	−0.0804455	+	0.0804455i	−0.746185	−	0.665739i	$-0.768116\pi$
$157$	−1.00798	+	1.00798i	−0.0804455	+	0.0804455i	0.665739	+	0.746185i	$0.268116\pi$
$158$	−8.85566	−	2.32021i	−0.704518	−	0.184586i
$159$	27.1328			2.15177
$160$	−12.2860	−	3.00914i	−0.971291	−	0.237893i
$161$			1.27848i			0.100758i
$162$	−9.78068	−	2.56257i	−0.768443	−	0.201335i
$163$	7.07447	+	7.07447i	0.554115	+	0.554115i	0.927626	−	0.373511i	$-0.121846\pi$
$163$	7.07447	+	7.07447i	0.554115	+	0.554115i	−0.373511	+	0.927626i	$0.621846\pi$
$164$	1.05057	−	1.86725i	0.0820354	−	0.145807i
$165$	−7.94771	−	30.4113i	−0.618728	−	2.36752i
$166$	−8.53707	−	14.5987i	−0.662605	−	1.13308i
$167$	4.86064	−	4.86064i	0.376128	−	0.376128i	−0.493575	−	0.869703i	$-0.664310\pi$
$167$	4.86064	−	4.86064i	0.376128	−	0.376128i	0.869703	+	0.493575i	$0.164310\pi$
$168$	1.16358	−	1.20303i	0.0897723	−	0.0928159i
$169$	12.9372	−	1.27625i	0.995169	−	0.0981728i
$170$	0.0148115	−	23.8728i	0.00113599	−	1.83096i
$171$	13.9383			1.06589
$172$	−6.51253	+	1.82283i	−0.496576	+	0.138989i
$173$	−10.2707	−	10.2707i	−0.780868	−	0.780868i	0.199109	−	0.979977i	$-0.436195\pi$
$173$	−10.2707	−	10.2707i	−0.780868	−	0.780868i	−0.979977	+	0.199109i	$0.936195\pi$
$174$	5.20434	+	8.89963i	0.394540	+	0.674679i
$175$	1.11501	+	0.313578i	0.0842868	+	0.0237043i
$176$	11.4271	+	18.8140i	0.861350	+	1.41816i
$177$	6.14224	+	6.14224i	0.461679	+	0.461679i
$178$	11.4437	+	2.99830i	0.857744	+	0.224732i
$179$	−2.77329			−0.207286			−0.103643	−	0.994615i	$-0.533050\pi$
$179$	−2.77329			−0.207286			−0.103643	+	0.994615i	$0.533050\pi$
$180$	−7.94940	−	13.6132i	−0.592513	−	1.01466i
$181$	−17.0228			−1.26530			−0.632648	−	0.774439i	$-0.718032\pi$
$181$	−17.0228			−1.26530			−0.632648	+	0.774439i	$0.718032\pi$
$182$	−0.989118	+	0.645667i	−0.0733183	+	0.0478600i
$183$	−6.64939	+	6.64939i	−0.491537	+	0.491537i
$184$	−15.6077	+	0.260171i	−1.15062	+	0.0191801i
$185$	−5.56332	+	1.45392i	−0.409024	+	0.106894i
$186$	15.1013	−	8.83095i	1.10728	−	0.647517i
$187$	−29.3762	+	29.3762i	−2.14820	+	2.14820i
$188$	8.01799	−	2.24419i	0.584772	−	0.163675i
$189$	0.310654			0.0225967
$190$	−8.83625	−	8.84722i	−0.641049	−	0.641845i
$191$			10.8719i			0.786660i	0.919397	+	0.393330i	$0.128677\pi$
$191$			10.8719i			0.786660i	−0.919397	+	0.393330i	$0.871323\pi$
$192$	14.9235	+	13.9603i	1.07701	+	1.00750i
$193$	−1.45498	+	1.45498i	−0.104732	+	0.104732i	−0.757531	−	0.652799i	$-0.773594\pi$
$193$	−1.45498	+	1.45498i	−0.104732	+	0.104732i	0.652799	+	0.757531i	$0.273594\pi$
$194$	−6.80486	−	11.6366i	−0.488561	−	0.835458i
$195$	6.18017	+	19.6451i	0.442571	+	1.40681i
$196$	−6.81222	+	12.1079i	−0.486587	+	0.864847i
$197$	−6.48486	−	6.48486i	−0.462027	−	0.462027i	0.437292	−	0.899320i	$-0.355938\pi$
$197$	−6.48486	−	6.48486i	−0.462027	−	0.462027i	−0.899320	+	0.437292i	$0.855938\pi$
$198$	−6.95295	+	26.5377i	−0.494125	+	1.88595i
$199$	−15.4094			−1.09234			−0.546172	−	0.837673i	$-0.683916\pi$
$199$	−15.4094			−1.09234			−0.546172	+	0.837673i	$0.683916\pi$
$200$	−3.60128	+	13.6759i	−0.254649	+	0.967034i
$201$			9.24600i			0.652163i
$202$	−6.49785	−	1.70246i	−0.457187	−	0.119784i
$203$	0.467478	+	0.467478i	0.0328105	+	0.0328105i
$204$	−18.9115	+	33.6128i	−1.32407	+	2.35337i
$205$	−2.06703	−	1.21048i	−0.144367	−	0.0845437i
$206$	5.31868	−	3.11027i	0.370570	−	0.216703i
$207$	−13.7562	−	13.7562i	−0.956120	−	0.956120i
$208$	−8.08363	−	11.9438i	−0.560499	−	0.828155i
$209$			21.7600i			1.50517i
$210$	−1.32234	−	1.32398i	−0.0912501	−	0.0913634i
$211$		−	11.8632i		−	0.816693i	−0.912827	−	0.408347i	$-0.866105\pi$
$211$		−	11.8632i		−	0.816693i	0.912827	−	0.408347i	$-0.133895\pi$
$212$	5.72601	+	20.4577i	0.393264	+	1.40504i
$213$	−1.52627	+	1.52627i	−0.104578	+	0.104578i
$214$	5.37690	+	9.19471i	0.367557	+	0.628537i
$215$	1.91180	+	7.31538i	0.130384	+	0.498905i
$216$	0.0632184	+	3.79248i	0.00430147	+	0.258046i
$217$	0.793236	−	0.793236i	0.0538484	−	0.0538484i
$218$	6.21417	+	1.62813i	0.420877	+	0.110271i
$219$		−	14.4096i		−	0.973707i
$220$	21.2524	−	12.4103i	1.43284	−	0.836705i
$221$	18.2777	−	20.1695i	1.22949	−	1.35675i
$222$	8.98636	+	2.35445i	0.603125	+	0.158021i
$223$	13.3351	+	13.3351i	0.892984	+	0.892984i	0.994803	−	0.101819i	$-0.0324664\pi$
$223$	13.3351	+	13.3351i	0.892984	+	0.892984i	−0.101819	+	0.994803i	$0.532466\pi$
$224$	1.15262	+	0.623438i	0.0770129	+	0.0416552i
$225$	−15.3713	+	8.62325i	−1.02476	+	0.574884i
$226$	5.43243	+	9.28966i	0.361360	+	0.617939i
$227$	12.4870	−	12.4870i	0.828789	−	0.828789i	−0.158560	−	0.987349i	$-0.550685\pi$
$227$	12.4870	−	12.4870i	0.828789	−	0.828789i	0.987349	+	0.158560i	$0.0506851\pi$
$228$	5.44489	+	19.4533i	0.360597	+	1.28833i
$229$	−22.5006			−1.48688			−0.743442	−	0.668800i	$-0.766808\pi$
$229$	−22.5006			−1.48688			−0.743442	+	0.668800i	$0.766808\pi$
$230$	−0.0108281	+	17.4524i	−0.000713983	+	1.15078i
$231$			3.25638i			0.214254i
$232$	−5.61187	+	5.80213i	−0.368437	+	0.380929i
$233$	−2.41578	−	2.41578i	−0.158263	−	0.158263i	0.623534	−	0.781796i	$-0.285696\pi$
$233$	−2.41578	−	2.41578i	−0.158263	−	0.158263i	−0.781796	+	0.623534i	$0.785696\pi$
$234$	3.69547	−	17.5900i	0.241580	−	1.14989i
$235$	−2.35374	−	9.00642i	−0.153541	−	0.587514i
$236$	−3.33492	+	5.92739i	−0.217084	+	0.385840i
$237$	11.6922	−	11.6922i	0.759492	−	0.759492i
$238$	−0.626824	+	2.39243i	−0.0406310	+	0.155078i
$239$		−	18.0281i		−	1.16614i	−0.812422	−	0.583069i	$-0.801852\pi$
$239$		−	18.0281i		−	1.16614i	0.812422	−	0.583069i	$-0.198148\pi$
$240$	15.8942	−	16.4126i	1.02596	−	1.05943i
$241$			6.86574i			0.442261i	0.975244	+	0.221131i	$0.0709747\pi$
$241$			6.86574i			0.442261i	−0.975244	+	0.221131i	$0.929025\pi$
$242$	−26.3814	−	6.91200i	−1.69586	−	0.444320i
$243$	15.7583	−	15.7583i	1.01090	−	1.01090i
$244$	−6.41679	−	3.61027i	−0.410793	−	0.231124i
$245$	13.4033	+	7.84917i	0.856305	+	0.501465i
$246$	1.95352	+	3.34059i	0.124552	+	0.212989i
$247$	−0.700665	−	14.2396i	−0.0445823	−	0.906047i
$248$	9.84531	+	9.52246i	0.625178	+	0.604677i
$249$	30.5465			1.93580
$250$	15.2183	+	4.29007i	0.962487	+	0.271328i
$251$		−	29.5621i		−	1.86594i	−0.359951	−	0.932971i	$-0.617207\pi$
$251$		−	29.5621i		−	1.86594i	0.359951	−	0.932971i	$-0.382793\pi$
$252$	0.440192	+	1.57270i	0.0277295	+	0.0990711i
$253$	21.4757	−	21.4757i	1.35017	−	1.35017i
$254$	1.92764	+	3.29634i	0.120951	+	0.206831i
$255$	37.2091	+	21.7902i	2.33012	+	1.36456i
$256$	−7.37642	+	14.1982i	−0.461026	+	0.887387i
$257$	−17.4691	+	17.4691i	−1.08969	+	1.08969i	−0.0941336	+	0.995560i	$0.530008\pi$
$257$	−17.4691	+	17.4691i	−1.08969	+	1.08969i	−0.995560	+	0.0941336i	$0.969992\pi$
$258$	3.09594	−	11.8164i	0.192745	−	0.735659i
$259$	0.595708			0.0370155
$260$	−13.5078	+	8.80557i	−0.837721	+	0.546099i
$261$	−10.0600			−0.622695
$262$	−4.63046	+	17.6733i	−0.286071	+	1.09186i
$263$	−11.9852	+	11.9852i	−0.739039	+	0.739039i	−0.972392	−	0.233353i	$-0.925030\pi$
$263$	−11.9852	+	11.9852i	−0.739039	+	0.739039i	0.233353	+	0.972392i	$0.425030\pi$
$264$	−39.7541	+	0.662676i	−2.44669	+	0.0407849i
$265$	22.9797	−	6.00552i	1.41163	−	0.368916i
$266$	0.653925	+	1.11824i	0.0400947	+	0.0685635i
$267$	−15.1093	+	15.1093i	−0.924675	+	0.924675i
$268$	−6.97134	+	1.95124i	−0.425842	+	0.119191i
$269$		−	7.60815i		−	0.463877i	−0.972730	−	0.231939i	$-0.925493\pi$
$269$		−	7.60815i		−	0.463877i	0.972730	−	0.231939i	$-0.0745069\pi$
$270$	4.24071	+	0.00263109i	0.258082	+	0.000160123i
$271$	21.2833			1.29287			0.646435	−	0.762969i	$-0.276259\pi$
$271$	21.2833			1.29287			0.646435	+	0.762969i	$0.276259\pi$
$272$	−29.3345	−	7.16545i	−1.77867	−	0.434469i
$273$	−0.104854	−	2.13095i	−0.00634606	−	0.128971i
$274$	8.44291	+	14.4377i	0.510055	+	0.872213i
$275$	−13.4623	−	23.9972i	−0.811810	−	1.44709i
$276$	13.8254	−	24.5729i	0.832191	−	1.47911i
$277$	2.57091	−	2.57091i	0.154471	−	0.154471i	−0.625640	−	0.780112i	$-0.715162\pi$
$277$	2.57091	−	2.57091i	0.154471	−	0.154471i	0.780112	+	0.625640i	$0.215162\pi$
$278$	−11.8835	−	3.11352i	−0.712726	−	0.186736i
$279$			17.0702i			1.02196i
$280$	0.719199	−	1.27643i	0.0429804	−	0.0762813i
$281$		−	21.5337i		−	1.28459i	−0.766457	−	0.642296i	$-0.777982\pi$
$281$		−	21.5337i		−	1.28459i	0.766457	−	0.642296i	$-0.222018\pi$
$282$	−3.81160	+	14.5479i	−0.226978	+	0.866317i
$283$	−14.9022	+	14.9022i	−0.885845	+	0.885845i	−0.994121	−	0.108275i	$-0.965467\pi$
$283$	−14.9022	+	14.9022i	−0.885845	+	0.885845i	0.108275	+	0.994121i	$0.465467\pi$
$284$	−1.47288	−	0.828685i	−0.0873995	−	0.0491734i
$285$	21.8515	−	5.71067i	1.29437	−	0.338271i
$286$	27.4609	+	5.76925i	1.62380	+	0.341143i
$287$	0.175474	+	0.175474i	0.0103579	+	0.0103579i
$288$	−19.1101	+	5.69394i	−1.12607	+	0.335519i
$289$		−	39.9911i		−	2.35242i
$290$	6.37755	+	6.38547i	0.374503	+	0.374968i
$291$	24.3485			1.42733
$292$	10.8646	−	3.04094i	0.635801	−	0.177957i
$293$	−19.5898	+	19.5898i	−1.14445	+	1.14445i	−0.156819	+	0.987627i	$0.550124\pi$
$293$	−19.5898	+	19.5898i	−1.14445	+	1.14445i	−0.987627	+	0.156819i	$0.949876\pi$
$294$	−12.6673	−	21.6615i	−0.738771	−	1.26333i
$295$	6.56157	+	3.84256i	0.382030	+	0.223722i
$296$	0.121227	+	7.27244i	0.00704619	+	0.422702i
$297$	−5.21833	−	5.21833i	−0.302798	−	0.302798i
$298$	−0.168352	−	0.0441087i	−0.00975236	−	0.00255515i
$299$	−13.3621	+	14.7451i	−0.772748	+	0.852730i
$300$	−18.0399	−	18.0848i	−1.04154	−	1.04412i
$301$		−	0.783314i		−	0.0451495i
$302$	13.8804	+	3.63672i	0.798729	+	0.209269i
$303$	8.57919	−	8.57919i	0.492861	−	0.492861i
$304$	−13.5184	+	8.21072i	−0.775336	+	0.470917i
$305$	−4.15982	+	7.10334i	−0.238191	+	0.406736i
$306$	−18.9976	−	32.4866i	−1.08602	−	1.85714i
$307$	9.48956	−	9.48956i	0.541598	−	0.541598i	−0.382399	−	0.923997i	$-0.624902\pi$
$307$	9.48956	−	9.48956i	0.541598	−	0.541598i	0.923997	+	0.382399i	$0.124902\pi$
$308$	−2.45526	+	0.687214i	−0.139901	+	0.0391576i
$309$			11.1289i			0.633098i
$310$	10.8351	−	10.8217i	0.615394	−	0.614631i
$311$		−	11.0553i		−	0.626889i	−0.949606	−	0.313445i	$-0.898517\pi$
$311$		−	11.0553i		−	0.626889i	0.949606	−	0.313445i	$-0.101483\pi$
$312$	25.9935	−	1.71372i	1.47159	−	0.0970202i
$313$	15.6291	+	15.6291i	0.883412	+	0.883412i	0.993880	−	0.110468i	$-0.0352349\pi$
$313$	15.6291	+	15.6291i	0.883412	+	0.883412i	−0.110468	+	0.993880i	$0.535235\pi$
$314$	1.74024	−	1.01766i	0.0982077	−	0.0574301i
$315$	1.76658	−	0.461679i	0.0995357	−	0.0260127i
$316$	11.2832	+	6.34827i	0.634732	+	0.357118i
$317$	−10.0029	−	10.0029i	−0.561821	−	0.561821i	0.368003	−	0.929824i	$-0.380041\pi$
$317$	−10.0029	−	10.0029i	−0.561821	−	0.561821i	−0.929824	+	0.368003i	$0.880041\pi$
$318$	−37.1188	−	9.72523i	−2.08152	−	0.545364i
$319$		−	15.7053i		−	0.879327i
$320$	15.7291	+	8.52027i	0.879284	+	0.476298i
$321$	−19.2391			−1.07382
$322$	0.458245	−	1.74900i	0.0255370	−	0.0974682i
$323$	−21.1077	−	21.1077i	−1.17446	−	1.17446i
$324$	12.4618	+	7.01139i	0.692325	+	0.389521i
$325$	9.58238	+	15.2702i	0.531535	+	0.847036i
$326$	−7.14244	−	12.2138i	−0.395583	−	0.676463i
$327$	−8.20465	+	8.20465i	−0.453718	+	0.453718i
$328$	−2.10649	+	2.17791i	−0.116311	+	0.120255i
$329$			0.964386i			0.0531683i
$330$	−0.0275800	+	44.4526i	−0.00151823	+	2.44703i
$331$	−12.4043			−0.681800			−0.340900	−	0.940100i	$-0.610732\pi$
$331$	−12.4043			−0.681800			−0.340900	+	0.940100i	$0.610732\pi$
$332$	6.44641	+	23.0315i	0.353793	+	1.26402i
$333$	−6.40971	+	6.40971i	−0.351250	+	0.351250i
$334$	−8.39174	+	4.90734i	−0.459176	+	0.268518i
$335$	2.04649	+	7.83074i	0.111812	+	0.427839i
$336$	−2.02303	+	1.22873i	−0.110365	+	0.0670327i
$337$	5.74054	−	5.74054i	0.312707	−	0.312707i	−0.533250	−	0.845958i	$-0.679030\pi$
$337$	5.74054	−	5.74054i	0.312707	−	0.312707i	0.845958	+	0.533250i	$0.179030\pi$
$338$	−18.1560	−	2.89113i	−0.987558	−	0.157257i
$339$	−19.4378			−1.05571
$340$	−8.57700	+	32.6536i	−0.465153	+	1.77089i
$341$	−26.6494			−1.44314
$342$	−19.0681	−	4.99591i	−1.03109	−	0.270148i
$343$	−2.28446	−	2.28446i	−0.123349	−	0.123349i
$344$	9.56275	−	0.159405i	0.515589	−	0.00859455i
$345$	−27.2020	−	15.9299i	−1.46451	−	0.857637i
$346$	10.3694	+	17.7321i	0.557462	+	0.953282i
$347$	18.9733	+	18.9733i	1.01854	+	1.01854i	0.999825	+	0.0187150i	$0.00595752\pi$
$347$	18.9733	+	18.9733i	1.01854	+	1.01854i	0.0187150	+	0.999825i	$0.494042\pi$
$348$	−3.92984	−	14.0404i	−0.210662	−	0.752646i
$349$	−6.46256			−0.345933			−0.172966	−	0.984928i	$-0.555335\pi$
$349$	−6.46256			−0.345933			−0.172966	+	0.984928i	$0.555335\pi$
$350$	−1.41298	−	0.828639i	−0.0755269	−	0.0442926i
$351$	3.58287	+	3.24681i	0.191239	+	0.173302i
$352$	−8.88920	−	29.8341i	−0.473796	−	1.59016i
$353$	11.1294	−	11.1294i	0.592358	−	0.592358i	−0.345910	−	0.938268i	$-0.612430\pi$
$353$	11.1294	−	11.1294i	0.592358	−	0.592358i	0.938268	+	0.345910i	$0.112430\pi$
$354$	−6.20125	−	10.6044i	−0.329593	−	0.563617i
$355$	−0.954827	+	1.63047i	−0.0506770	+	0.0865363i
$356$	−14.5808	−	8.20356i	−0.772780	−	0.434788i
$357$	−3.15876	−	3.15876i	−0.167179	−	0.167179i
$358$	3.79397	+	0.994032i	0.200518	+	0.0525362i
$359$			25.0442i			1.32178i	0.750481	+	0.660892i	$0.229822\pi$
$359$			25.0442i			1.32178i	−0.750481	+	0.660892i	$0.770178\pi$
$360$	5.99571	+	21.4726i	0.316002	+	1.13171i
$361$	3.36474			0.177091
$362$	23.2879	+	6.10149i	1.22398	+	0.320687i
$363$	34.8316	−	34.8316i	1.82819	−	1.82819i
$364$	1.58458	−	0.528767i	0.0830544	−	0.0277149i
$365$	−3.18937	−	12.2039i	−0.166939	−	0.638782i
$366$	11.4800	−	6.71327i	0.600067	−	0.350908i
$367$	20.9337	+	20.9337i	1.09273	+	1.09273i	0.995236	+	0.0974934i	$0.0310825\pi$
$367$	20.9337	+	20.9337i	1.09273	+	1.09273i	0.0974934	+	0.995236i	$0.468918\pi$
$368$	21.4452	+	5.23836i	1.11791	+	0.273068i
$369$	−3.77614			−0.196578
$370$	8.13197	+	0.00504536i	0.422761	+	0.000262296i
$371$	−2.46061			−0.127749
$372$	−23.8244	+	6.66832i	−1.23524	+	0.345736i
$373$	−6.04223	−	6.04223i	−0.312855	−	0.312855i	0.533160	−	0.846014i	$-0.321004\pi$
$373$	−6.04223	−	6.04223i	−0.312855	−	0.312855i	−0.846014	+	0.533160i	$0.821004\pi$
$374$	50.7171	−	29.6584i	2.62252	−	1.53360i
$375$	−20.5650	+	19.8167i	−1.06197	+	1.02333i
$376$	−11.7733	+	0.196254i	−0.607161	+	0.0101210i
$377$	0.505704	+	10.2774i	0.0260451	+	0.529315i
$378$	−0.424986	−	0.111348i	−0.0218589	−	0.00572711i
$379$		−	7.86972i		−	0.404241i	−0.979361	−	0.202120i	$-0.935217\pi$
$379$		−	7.86972i		−	0.404241i	0.979361	−	0.202120i	$-0.0647832\pi$
$380$	8.91721	+	15.2705i	0.457443	+	0.783361i
$381$	−6.89729			−0.353359
$382$	3.89680	−	14.8731i	0.199378	−	0.760974i
$383$	−14.1927	−	14.1927i	−0.725214	−	0.725214i	0.244448	−	0.969662i	$-0.421393\pi$
$383$	−14.1927	−	14.1927i	−0.725214	−	0.725214i	−0.969662	+	0.244448i	$0.921393\pi$
$384$	−15.4121	−	24.4472i	−0.786496	−	1.24757i
$385$	0.720759	+	2.75793i	0.0367333	+	0.140557i
$386$	2.51197	−	1.46896i	0.127856	−	0.0747679i
$387$	8.42831	+	8.42831i	0.428435	+	0.428435i
$388$	5.13841	+	18.3584i	0.260863	+	0.932004i
$389$			6.86099i			0.347866i	0.984758	+	0.173933i	$0.0556476\pi$
$389$			6.86099i			0.347866i	−0.984758	+	0.173933i	$0.944352\pi$
$390$	−1.41331	−	29.0904i	−0.0715656	−	1.47305i
$391$			41.6638i			2.10703i
$392$	13.6592	−	14.1223i	0.689893	−	0.713284i
$393$	−23.3343	−	23.3343i	−1.17706	−	1.17706i
$394$	6.54717	+	11.1959i	0.329842	+	0.564042i
$395$	7.31461	−	12.4905i	0.368038	−	0.628464i
$396$	19.0238	−	33.8124i	0.955983	−	1.69914i
$397$	19.7640	+	19.7640i	0.991926	+	0.991926i	0.999968	−	0.00804162i	$-0.00255975\pi$
$397$	19.7640	+	19.7640i	0.991926	+	0.991926i	−0.00804162	+	0.999968i	$0.502560\pi$
$398$	21.0807	+	5.52320i	1.05668	+	0.276853i
$399$	−2.33981			−0.117137
$400$	9.82854	−	17.4184i	0.491427	−	0.870919i
$401$			4.02695i			0.201096i	0.994932	+	0.100548i	$0.0320596\pi$
$401$			4.02695i			0.201096i	−0.994932	+	0.100548i	$0.967940\pi$
$402$	3.31405	−	12.6489i	0.165290	−	0.630869i
$403$	17.4392	−	0.858100i	0.868708	−	0.0427450i
$404$	8.27909	+	4.65805i	0.411900	+	0.231747i
$405$	8.07866	−	13.7952i	0.401432	−	0.685487i
$406$	−0.471969	−	0.807086i	−0.0234234	−	0.0400550i
$407$	−10.0066	−	10.0066i	−0.496010	−	0.496010i
$408$	37.9195	−	39.2051i	1.87729	−	1.94094i
$409$	−17.7152			−0.875961			−0.437981	−	0.898984i	$-0.644306\pi$
$409$	−17.7152			−0.875961			−0.437981	+	0.898984i	$0.644306\pi$
$410$	2.39390	+	2.39687i	0.118226	+	0.118373i
$411$	−30.2095			−1.49013
$412$	−8.39098	+	2.34859i	−0.413394	+	0.115707i
$413$	−0.557025	−	0.557025i	−0.0274094	−	0.0274094i
$414$	13.8883	+	23.7496i	0.682575	+	1.16723i
$415$	25.8708	−	6.76108i	1.26995	−	0.331888i
$416$	6.77769	+	19.2370i	0.332303	+	0.943173i
$417$	15.6899	−	15.6899i	0.768340	−	0.768340i
$418$	7.79946	−	29.7686i	0.381484	−	1.45603i
$419$	−10.3928			−0.507720			−0.253860	−	0.967241i	$-0.581700\pi$
$419$	−10.3928			−0.507720			−0.253860	+	0.967241i	$0.581700\pi$
$420$	1.33446	+	2.28522i	0.0651148	+	0.111507i
$421$			21.0719i			1.02698i	0.858095	+	0.513491i	$0.171648\pi$
$421$			21.0719i			1.02698i	−0.858095	+	0.513491i	$0.828352\pi$
$422$	−4.25211	+	16.2293i	−0.206990	+	0.790028i
$423$	−10.3766	−	10.3766i	−0.504529	−	0.504529i
$424$	−0.500737	−	30.0393i	−0.0243179	−	1.45884i
$425$	36.3366	+	10.2191i	1.76258	+	0.495698i
$426$	2.63506	−	1.54093i	0.127669	−	0.0746585i
$427$	0.603017	−	0.603017i	0.0291820	−	0.0291820i
$428$	−4.06014	−	14.5060i	−0.196254	−	0.701172i
$429$	−34.0342	+	37.5568i	−1.64319	+	1.81326i
$430$	0.00663429	−	10.6930i	0.000319934	−	0.515660i
$431$	8.95805			0.431494			0.215747	−	0.976449i	$-0.430781\pi$
$431$	8.95805			0.431494			0.215747	+	0.976449i	$0.430781\pi$
$432$	1.27286	−	5.21092i	0.0612403	−	0.250711i
$433$	−7.88055	−	7.88055i	−0.378715	−	0.378715i	0.491924	−	0.870638i	$-0.336294\pi$
$433$	−7.88055	−	7.88055i	−0.378715	−	0.378715i	−0.870638	+	0.491924i	$0.836294\pi$
$434$	−1.36950	+	0.800857i	−0.0657380	+	0.0384424i
$435$	−15.7713	+	4.12167i	−0.756175	+	0.197619i
$436$	−7.91765	−	4.45469i	−0.379187	−	0.213341i
$437$	15.4310	+	15.4310i	0.738163	+	0.738163i
$438$	−5.16482	+	19.7128i	−0.246785	+	0.941915i
$439$	−6.72857			−0.321137			−0.160569	−	0.987025i	$-0.551333\pi$
$439$	−6.72857			−0.321137			−0.160569	+	0.987025i	$0.551333\pi$
$440$	−33.5223	+	9.36031i	−1.59812	+	0.446235i
$441$	24.4858			1.16599
$442$	−32.2340	+	21.0414i	−1.53321	+	1.00084i
$443$	−19.9839	+	19.9839i	−0.949463	+	0.949463i	−0.998783	−	0.0493202i	$-0.984295\pi$
$443$	−19.9839	+	19.9839i	−0.949463	+	0.949463i	0.0493202	+	0.998783i	$0.484295\pi$
$444$	−11.4498	−	6.44196i	−0.543382	−	0.305722i
$445$	−9.45231	+	16.1408i	−0.448082	+	0.765148i
$446$	−13.4632	−	23.0226i	−0.637501	−	1.09015i
$447$	0.222277	−	0.222277i	0.0105133	−	0.0105133i
$448$	−1.35337	−	1.26602i	−0.0639409	−	0.0598139i
$449$	26.2168			1.23725			0.618623	−	0.785688i	$-0.287691\pi$
$449$	26.2168			1.23725			0.618623	+	0.785688i	$0.287691\pi$
$450$	24.1194	−	6.28739i	1.13700	−	0.296390i
$451$		−	5.89519i		−	0.277593i
$452$	−4.10207	−	14.6558i	−0.192945	−	0.689349i
$453$	−18.3265	+	18.3265i	−0.861054	+	0.861054i
$454$	−21.5584	+	12.6069i	−1.01178	+	0.591673i
$455$	−0.560464	−	1.78157i	−0.0262750	−	0.0835211i
$456$	−0.476153	−	28.5645i	−0.0222979	−	1.33766i
$457$	−24.2798	−	24.2798i	−1.13576	−	1.13576i	−0.989202	−	0.146559i	$-0.953180\pi$
$457$	−24.2798	−	24.2798i	−1.13576	−	1.13576i	−0.146559	−	0.989202i	$-0.546820\pi$
$458$	30.7817	+	8.06491i	1.43834	+	0.376848i
$459$	10.1238			0.472537
$460$	6.27028	−	23.8717i	0.292353	−	1.11302i
$461$			19.0541i			0.887437i	0.896166	+	0.443718i	$0.146341\pi$
$461$			19.0541i			0.887437i	−0.896166	+	0.443718i	$0.853659\pi$
$462$	1.16718	−	4.45485i	0.0543023	−	0.207258i
$463$	−25.5890	−	25.5890i	−1.18922	−	1.18922i	−0.977283	−	0.211938i	$-0.932023\pi$
$463$	−25.5890	−	25.5890i	−1.18922	−	1.18922i	−0.211938	−	0.977283i	$-0.567977\pi$
$464$	9.75691	−	5.92608i	0.452953	−	0.275111i
$465$	6.99382	+	26.7614i	0.324331	+	1.24103i
$466$	2.43899	+	4.17076i	0.112984	+	0.193207i
$467$	−15.7814	−	15.7814i	−0.730276	−	0.730276i	0.240399	−	0.970674i	$-0.422722\pi$
$467$	−15.7814	−	15.7814i	−0.730276	−	0.730276i	−0.970674	+	0.240399i	$0.922722\pi$
$468$	−11.3603	+	22.7392i	−0.525131	+	1.05112i
$469$		−	0.838498i		−	0.0387182i
$470$	−0.00816789	+	13.1648i	−0.000376757	+	0.607246i
$471$			3.64130i			0.167782i
$472$	6.68684	−	6.91356i	0.307787	−	0.318222i
$473$	−13.1580	+	13.1580i	−0.605006	+	0.605006i
$474$	−20.1863	+	11.8046i	−0.927186	+	0.542202i
$475$	17.2428	−	9.67311i	0.791152	−	0.443833i
$476$	1.71504	−	3.04826i	0.0786087	−	0.139717i
$477$	26.4757	−	26.4757i	1.21224	−	1.21224i
$478$	−6.46180	+	24.6631i	−0.295556	+	1.12806i
$479$			25.6415i			1.17159i	0.810459	+	0.585795i	$0.199218\pi$
$479$			25.6415i			1.17159i	−0.810459	+	0.585795i	$0.800782\pi$
$480$	−27.6266	+	16.7562i	−1.26098	+	0.764811i
$481$	6.87049	+	6.22607i	0.313267	+	0.283884i
$482$	2.46089	−	9.39259i	0.112090	−	0.427821i
$483$	2.30923	+	2.30923i	0.105074	+	0.105074i
$484$	33.6132	+	18.9117i	1.52787	+	0.859625i
$485$	20.6215	−	5.38923i	0.936375	−	0.244712i
$486$	−27.2062	+	15.9097i	−1.23410	+	0.721679i
$487$	29.4309	−	29.4309i	1.33364	−	1.33364i	0.431551	−	0.902089i	$-0.357967\pi$
$487$	29.4309	−	29.4309i	1.33364	−	1.33364i	0.902089	−	0.431551i	$-0.142033\pi$
$488$	7.48439	+	7.23896i	0.338802	+	0.327692i
$489$	25.5564			1.15570
$490$	−15.5228	−	15.5421i	−0.701251	−	0.702121i
$491$		−	0.827418i		−	0.0373409i	−0.999826	−	0.0186704i	$-0.994057\pi$
$491$		−	0.827418i		−	0.0373409i	0.999826	−	0.0186704i	$-0.00594333\pi$
$492$	−1.47512	−	5.27026i	−0.0665035	−	0.237602i
$493$	15.2345	+	15.2345i	0.686125	+	0.686125i
$494$	−4.14538	+	19.7315i	−0.186510	+	0.887763i
$495$	−37.4301	−	21.9196i	−1.68236	−	0.985213i
$496$	−10.0556	−	16.5559i	−0.451510	−	0.743384i
$497$	0.138414	−	0.138414i	0.00620871	−	0.00620871i
$498$	−41.7887	−	10.9488i	−1.87260	−	0.490626i
$499$			3.46199i			0.154980i	0.996993	+	0.0774901i	$0.0246906\pi$
$499$			3.46199i			0.154980i	−0.996993	+	0.0774901i	$0.975309\pi$
$500$	−19.2815	−	11.3237i	−0.862293	−	0.506410i
$501$		−	17.5589i		−	0.784476i
$502$	−10.5959	+	40.4421i	−0.472920	+	1.80502i
$503$	31.3922	−	31.3922i	1.39971	−	1.39971i	0.598840	−	0.800868i	$-0.295628\pi$
$503$	31.3922	−	31.3922i	1.39971	−	1.39971i	0.800868	−	0.598840i	$-0.204372\pi$
$504$	−0.0384946	−	2.30930i	−0.00171469	−	0.102864i
$505$	5.36710	−	9.16489i	0.238833	−	0.407832i
$506$	−37.0771	+	21.6820i	−1.64828	+	0.963884i
$507$	21.0625	−	25.6729i	0.935416	−	1.14017i
$508$	−1.45558	−	5.20045i	−0.0645809	−	0.230733i
$509$	−14.2413			−0.631233			−0.315616	−	0.948887i	$-0.602211\pi$
$509$	−14.2413			−0.631233			−0.315616	+	0.948887i	$0.602211\pi$
$510$	−43.0932	−	43.1467i	−1.90820	−	1.91057i
$511$			1.30677i			0.0578080i
$512$	15.1803	−	16.7797i	0.670880	−	0.741566i
$513$	3.74953	−	3.74953i	0.165546	−	0.165546i
$514$	30.1599	−	17.6369i	1.33029	−	0.777932i
$515$	2.46323	+	9.42539i	0.108543	+	0.415332i
$516$	−8.47073	+	15.0556i	−0.372903	+	0.662788i
$517$	16.1996	−	16.1996i	0.712460	−	0.712460i
$518$	−0.814951	−	0.213520i	−0.0358069	−	0.00938152i
$519$	−37.1027			−1.62863
$520$	21.6354	−	7.20474i	0.948776	−	0.315949i
$521$	−34.5357			−1.51304			−0.756519	−	0.653972i	$-0.773101\pi$
$521$	−34.5357			−1.51304			−0.756519	+	0.653972i	$0.773101\pi$
$522$	13.7624	+	3.60579i	0.602364	+	0.157821i
$523$	−25.5110	+	25.5110i	−1.11552	+	1.11552i	−0.123127	+	0.992391i	$0.539292\pi$
$523$	−25.5110	+	25.5110i	−1.11552	+	1.11552i	−0.992391	+	0.123127i	$0.960708\pi$
$524$	12.6693	−	22.5180i	0.553460	−	0.983705i
$525$	2.58037	−	1.44758i	0.112616	−	0.0631774i
$526$	20.6921	−	12.1004i	0.902217	−	0.527601i
$527$	25.8505	−	25.8505i	1.12606	−	1.12606i
$528$	54.6226	+	13.3425i	2.37714	+	0.580658i
$529$		−	7.45862i		−	0.324288i
$530$	−33.5896	−	0.0208402i	−1.45904	−	0.000905241i
$531$	11.9870			0.520190
$532$	−0.493784	−	1.76418i	−0.0214083	−	0.0764868i
$533$	0.189823	+	3.85777i	0.00822214	+	0.167099i
$534$	26.0857	−	15.2545i	1.12884	−	0.660126i
$535$	−16.2942	+	4.25833i	−0.704460	+	0.184104i
$536$	10.2364	−	0.170635i	0.442147	−	0.00737032i
$537$	−5.00923	+	5.00923i	−0.216164	+	0.216164i
$538$	−2.72699	+	10.4082i	−0.117569	+	0.448731i
$539$			38.2264i			1.64653i
$540$	−5.80051	−	1.52360i	−0.249614	−	0.0655653i
$541$		−	9.57872i		−	0.411821i	−0.978571	−	0.205911i	$-0.933984\pi$
$541$		−	9.57872i		−	0.411821i	0.978571	−	0.205911i	$-0.0660156\pi$
$542$	−29.1164	−	7.62859i	−1.25066	−	0.327676i
$543$	−30.7473	+	30.7473i	−1.31949	+	1.31949i
$544$	37.5624	+	20.3170i	1.61048	+	0.871084i
$545$	−5.13278	+	8.76478i	−0.219864	+	0.375442i
$546$	−0.620354	+	2.95281i	−0.0265487	+	0.126369i
$547$	13.2510	+	13.2510i	0.566571	+	0.566571i	0.931166	−	0.364595i	$-0.118793\pi$
$547$	13.2510	+	13.2510i	0.566571	+	0.566571i	−0.364595	+	0.931166i	$0.618793\pi$
$548$	−6.37531	−	22.7775i	−0.272340	−	0.973007i
$549$			12.9767i			0.553832i
$550$	9.81567	+	37.6544i	0.418541	+	1.60559i
$551$	11.2847			0.480745
$552$	−27.7213	+	28.6612i	−1.17990	+	1.21990i
$553$	−1.06034	+	1.06034i	−0.0450903	+	0.0450903i
$554$	−4.43860	+	2.59561i	−0.188578	+	0.110277i
$555$	−7.42256	+	12.6748i	−0.315070	+	0.538016i
$556$	15.1411	+	8.51882i	0.642126	+	0.361278i
$557$	18.1693	+	18.1693i	0.769857	+	0.769857i	0.978081	−	0.208224i	$-0.0667683\pi$
$557$	18.1693	+	18.1693i	0.769857	+	0.769857i	−0.208224	+	0.978081i	$0.566768\pi$
$558$	6.11846	−	23.3526i	0.259015	−	0.988595i
$559$	8.18684	−	9.03421i	0.346267	−	0.382106i
$560$	−1.44140	+	1.48842i	−0.0609104	+	0.0628973i
$561$			106.121i			4.48042i
$562$	−7.71832	+	29.4589i	−0.325578	+	1.24265i
$563$	3.38749	−	3.38749i	0.142766	−	0.142766i	−0.632112	−	0.774877i	$-0.717812\pi$
$563$	3.38749	−	3.38749i	0.142766	−	0.142766i	0.774877	+	0.632112i	$0.217812\pi$
$564$	10.4288	−	18.5359i	0.439133	−	0.780504i
$565$	−16.4625	+	4.30230i	−0.692581	+	0.180999i
$566$	25.7282	−	15.0454i	1.08144	−	0.632405i
$567$	−1.17110	+	1.17110i	−0.0491816	+	0.0491816i
$568$	1.71793	+	1.66160i	0.0720828	+	0.0697191i
$569$		−	8.75169i		−	0.366890i	−0.983030	−	0.183445i	$-0.941275\pi$
$569$		−	8.75169i		−	0.366890i	0.983030	−	0.183445i	$-0.0587249\pi$
$570$	−31.9405	−	0.0198171i	−1.33784	−	0.000830045i
$571$		−	12.1139i		−	0.506950i	−0.967342	−	0.253475i	$-0.918426\pi$
$571$		−	12.1139i		−	0.506950i	0.967342	−	0.253475i	$-0.0815736\pi$
$572$	−35.4997	−	17.7354i	−1.48432	−	0.741553i
$573$	19.6371	+	19.6371i	0.820354	+	0.820354i
$574$	−0.177160	−	0.302950i	−0.00739452	−	0.0126449i
$575$	−26.5641	−	7.47073i	−1.10780	−	0.311551i
$576$	28.1842	−	0.939889i	1.17434	−	0.0391621i
$577$	−21.0644	−	21.0644i	−0.876921	−	0.876921i	0.116293	−	0.993215i	$-0.462899\pi$
$577$	−21.0644	−	21.0644i	−0.876921	−	0.876921i	−0.993215	+	0.116293i	$0.962899\pi$
$578$	−14.3340	+	54.7093i	−0.596216	+	2.27561i
$579$			5.25607i			0.218435i
$580$	−6.43598	−	11.0215i	−0.267240	−	0.457642i
$581$	−2.77019			−0.114927
$582$	−33.3096	−	8.72723i	−1.38073	−	0.361755i
$583$	41.3331	+	41.3331i	1.71184	+	1.71184i
$584$	−15.9531	+	0.265929i	−0.660144	+	0.0110042i
$585$	25.1998	+	13.1388i	1.04188	+	0.543224i
$586$	33.8211	−	19.7780i	1.39714	−	0.817021i
$587$	−26.1589	+	26.1589i	−1.07970	+	1.07970i	−0.0831587	+	0.996536i	$0.526501\pi$
$587$	−26.1589	+	26.1589i	−1.07970	+	1.07970i	−0.996536	+	0.0831587i	$0.973499\pi$
$588$	9.56517	+	34.1741i	0.394461	+	1.40932i
$589$		−	19.1484i		−	0.788996i
$590$	−7.59919	−	7.60863i	−0.312854	−	0.313242i
$591$	−23.4264			−0.963634
$592$	2.44082	−	9.99243i	0.100317	−	0.410686i
$593$	13.0189	−	13.0189i	0.534622	−	0.534622i	−0.387323	−	0.921944i	$-0.626600\pi$
$593$	13.0189	−	13.0189i	0.534622	−	0.534622i	0.921944	+	0.387323i	$0.126600\pi$
$594$	5.26846	+	9.00927i	0.216168	+	0.369655i
$595$	−3.37440	−	1.97610i	−0.138337	−	0.0810123i
$596$	0.214502	+	0.120685i	0.00878634	+	0.00494344i
$597$	−27.8331	+	27.8331i	−1.13913	+	1.13913i
$598$	23.5649	−	15.3825i	0.963640	−	0.629036i
$599$	41.8791			1.71113			0.855566	−	0.517693i	$-0.173209\pi$
$599$	41.8791			1.71113			0.855566	+	0.517693i	$0.173209\pi$
$600$	18.1972	+	31.2067i	0.742898	+	1.27401i
$601$	10.5248			0.429314			0.214657	−	0.976689i	$-0.431137\pi$
$601$	10.5248			0.429314			0.214657	+	0.976689i	$0.431137\pi$
$602$	−0.280763	+	1.07160i	−0.0114431	+	0.0436753i
$603$	9.02208	+	9.02208i	0.367408	+	0.367408i
$604$	−17.6854	−	9.95033i	−0.719610	−	0.404873i
$605$	21.7905	−	37.2096i	0.885909	−	1.51278i
$606$	−14.8117	+	8.66161i	−0.601684	+	0.351854i
$607$	−3.02394	−	3.02394i	−0.122738	−	0.122738i	0.643070	−	0.765808i	$-0.277661\pi$
$607$	−3.02394	−	3.02394i	−0.122738	−	0.122738i	−0.765808	+	0.643070i	$0.777661\pi$
$608$	21.4367	−	6.38716i	0.869373	−	0.259034i
$609$	1.68875			0.0684317
$610$	8.23685	−	8.22663i	0.333500	−	0.333087i
$611$	−10.0793	+	11.1226i	−0.407766	+	0.449971i
$612$	14.3452	+	51.2523i	0.579872	+	2.07175i
$613$	8.41384	−	8.41384i	0.339832	−	0.339832i	−0.516472	−	0.856304i	$-0.672755\pi$
$613$	8.41384	−	8.41384i	0.339832	−	0.339832i	0.856304	+	0.516472i	$0.172755\pi$
$614$	−16.3834	+	9.58074i	−0.661181	+	0.386647i
$615$	−5.91996	+	1.54712i	−0.238716	+	0.0623861i
$616$	3.60520	−	0.0600965i	0.145258	−	0.00242136i
$617$	−24.5072	−	24.5072i	−0.986623	−	0.986623i	0.0132885	−	0.999912i	$-0.495770\pi$
$617$	−24.5072	−	24.5072i	−0.986623	−	0.986623i	−0.999912	+	0.0132885i	$0.995770\pi$
$618$	3.98892	−	15.2247i	0.160458	−	0.612427i
$619$		−	33.5082i		−	1.34681i	−0.739274	−	0.673404i	$-0.764831\pi$
$619$		−	33.5082i		−	1.34681i	0.739274	−	0.673404i	$-0.235169\pi$
$620$	−18.7017	+	10.9208i	−0.751078	+	0.438592i
$621$	−7.40106			−0.296994
$622$	−3.96256	+	15.1241i	−0.158884	+	0.606421i
$623$	1.37023	−	1.37023i	0.0548970	−	0.0548970i
$624$	−36.1743	−	6.97242i	−1.44813	−	0.279120i
$625$	−13.0310	+	21.3352i	−0.521241	+	0.853410i
$626$	−15.7793	−	26.9832i	−0.630668	−	1.07847i
$627$	39.3038	+	39.3038i	1.56964	+	1.56964i
$628$	−2.74548	+	0.768446i	−0.109557	+	0.0306644i
$629$	19.4133			0.774059
$630$	−2.58223	−	0.00160211i	−0.102879	−	6.38295e-5i
$631$	−46.8580			−1.86539			−0.932693	−	0.360670i	$-0.882548\pi$
$631$	−46.8580			−1.86539			−0.932693	+	0.360670i	$0.882548\pi$
$632$	−13.1605	−	12.7289i	−0.523496	−	0.506330i
$633$	−21.4277	−	21.4277i	−0.851674	−	0.851674i
$634$	10.0990	+	17.2698i	0.401084	+	0.685869i
$635$	−5.84154	+	1.52663i	−0.231815	+	0.0605825i
$636$	47.2941	+	26.6090i	1.87533	+	1.05511i
$637$	−1.23087	−	25.0151i	−0.0487690	−	0.991135i
$638$	−5.62925	+	21.4854i	−0.222864	+	0.850616i
$639$			2.97861i			0.117832i
$640$	−18.4641	−	17.2938i	−0.729857	−	0.683599i
$641$	13.8420			0.546726			0.273363	−	0.961911i	$-0.411864\pi$
$641$	13.8420			0.546726			0.273363	+	0.961911i	$0.411864\pi$
$642$	26.3198	+	6.89587i	1.03876	+	0.272158i
$643$	20.3351	+	20.3351i	0.801937	+	0.801937i	0.983398	−	0.181461i	$-0.0580826\pi$
$643$	20.3351	+	20.3351i	0.801937	+	0.801937i	−0.181461	+	0.983398i	$0.558083\pi$
$644$	−1.25379	+	2.22846i	−0.0494063	+	0.0878135i
$645$	16.6665	+	9.76014i	0.656242	+	0.384305i
$646$	21.3105	+	36.4418i	0.838451	+	1.43378i
$647$	−0.602047	−	0.602047i	−0.0236689	−	0.0236689i	0.695173	−	0.718842i	$-0.255328\pi$
$647$	−0.602047	−	0.602047i	−0.0236689	−	0.0236689i	−0.718842	+	0.695173i	$0.755328\pi$
$648$	−14.5352	−	14.0585i	−0.570996	−	0.552272i
$649$			18.7137i			0.734576i
$650$	−7.63577	−	24.3248i	−0.299500	−	0.954096i
$651$		−	2.86555i		−	0.112310i
$652$	5.39332	+	19.2691i	0.211219	+	0.754635i
$653$	2.39210	+	2.39210i	0.0936099	+	0.0936099i	0.752361	−	0.658751i	$-0.228915\pi$
$653$	2.39210	+	2.39210i	0.0936099	+	0.0936099i	−0.658751	+	0.752361i	$0.728915\pi$
$654$	14.1651	−	8.28347i	0.553898	−	0.323909i
$655$	−24.9273	−	14.5978i	−0.973990	−	0.570383i
$656$	3.66239	−	2.22443i	0.142992	−	0.0868495i
$657$	−14.0606	−	14.0606i	−0.548555	−	0.548555i
$658$	0.345665	−	1.31932i	0.0134754	−	0.0514323i
$659$	−0.152371			−0.00593552			−0.00296776	−	0.999996i	$-0.500945\pi$
$659$	−0.152371			−0.00593552			−0.00296776	+	0.999996i	$0.500945\pi$
$660$	15.9709	−	60.8029i	0.621666	−	2.36675i
$661$		−	20.9602i		−	0.815256i	−0.913148	−	0.407628i	$-0.866356\pi$
$661$		−	20.9602i		−	0.815256i	0.913148	−	0.407628i	$-0.133644\pi$
$662$	16.9695	+	4.44606i	0.659538	+	0.172801i
$663$	−3.41705	−	69.4448i	−0.132707	−	2.69701i
$664$	−0.563736	−	33.8186i	−0.0218772	−	1.31242i
$665$	−1.98166	+	0.517887i	−0.0768454	+	0.0200828i
$666$	11.0662	−	6.47129i	0.428805	−	0.250757i
$667$	−11.1373	−	11.1373i	−0.431237	−	0.431237i
$668$	13.2392	−	3.70557i	0.512239	−	0.143373i
$669$	48.1727			1.86246
$670$	0.00710167	−	11.4463i	0.000274362	−	0.442208i
$671$	−20.2588			−0.782083
$672$	3.20799	−	0.955835i	0.123751	−	0.0368721i
$673$	−6.41803	−	6.41803i	−0.247397	−	0.247397i	0.572505	−	0.819902i	$-0.305972\pi$
$673$	−6.41803	−	6.41803i	−0.247397	−	0.247397i	−0.819902	+	0.572505i	$0.805972\pi$
$674$	−9.91087	+	5.79570i	−0.381752	+	0.223242i
$675$	−1.81529	+	6.45475i	−0.0698707	+	0.248444i
$676$	23.8019	+	10.4628i	0.915456	+	0.402417i
$677$	−18.3806	+	18.3806i	−0.706425	+	0.706425i	−0.965782	−	0.259356i	$-0.916490\pi$
$677$	−18.3806	+	18.3806i	−0.706425	+	0.706425i	0.259356	+	0.965782i	$0.416490\pi$
$678$	26.5916	+	6.96708i	1.02124	+	0.267569i
$679$	−2.20810			−0.0847393
$680$	23.4377	−	41.5971i	0.898794	−	1.59518i
$681$		−	45.1089i		−	1.72858i
$682$	36.4574	+	9.55194i	1.39602	+	0.365763i
$683$	15.9897	+	15.9897i	0.611831	+	0.611831i	0.943423	−	0.331592i	$-0.107586\pi$
$683$	15.9897	+	15.9897i	0.611831	+	0.611831i	−0.331592	+	0.943423i	$0.607586\pi$
$684$	24.2953	+	13.6692i	0.928952	+	0.522655i
$685$	−25.5854	+	6.68651i	−0.977570	+	0.255478i
$686$	2.30640	+	3.94404i	0.0880589	+	0.150584i
$687$	−40.6415	+	40.6415i	−1.55057	+	1.55057i
$688$	−13.1393	−	3.20951i	−0.500933	−	0.122361i
$689$	−28.3790	−	25.7172i	−1.08115	−	0.979748i
$690$	31.5036	+	31.5427i	1.19932	+	1.20081i
$691$	−5.79082			−0.220293			−0.110147	−	0.993915i	$-0.535132\pi$
$691$	−5.79082			−0.220293			−0.110147	+	0.993915i	$0.535132\pi$
$692$	−7.83002	−	27.9748i	−0.297653	−	1.06344i
$693$	3.17751	+	3.17751i	0.120704	+	0.120704i
$694$	−19.1556	−	32.7568i	−0.727136	−	1.24343i
$695$	9.81555	−	16.7611i	0.372325	−	0.635785i
$696$	0.343663	+	20.6164i	0.0130265	+	0.781463i
$697$	5.71846	+	5.71846i	0.216602	+	0.216602i
$698$	8.84103	+	2.31638i	0.334638	+	0.0876762i
$699$	−8.72693			−0.330083
$700$	1.63600	+	1.64006i	0.0618350	+	0.0619886i
$701$	28.4829			1.07578			0.537892	−	0.843014i	$-0.319221\pi$
$701$	28.4829			1.07578			0.537892	+	0.843014i	$0.319221\pi$
$702$	−3.73775	−	5.72597i	−0.141072	−	0.216113i
$703$	7.19007	−	7.19007i	0.271179	−	0.271179i
$704$	1.46732	+	44.0003i	0.0553019	+	1.65832i
$705$	−20.5191	−	12.0163i	−0.772795	−	0.452561i
$706$	−19.2145	+	11.2363i	−0.723149	+	0.422885i
$707$	−0.778026	+	0.778026i	−0.0292607	+	0.0292607i
$708$	4.68262	+	16.7299i	0.175984	+	0.628749i
$709$	9.26359			0.347902			0.173951	−	0.984754i	$-0.444347\pi$
$709$	9.26359			0.347902			0.173951	+	0.984754i	$0.444347\pi$
$710$	1.89065	−	1.88830i	0.0709548	−	0.0708668i
$711$		−	22.8181i		−	0.855747i
$712$	17.0067	+	16.4490i	0.637352	+	0.616452i
$713$	−18.8982	+	18.8982i	−0.707742	+	0.707742i
$714$	3.18910	+	5.45349i	0.119349	+	0.204092i
$715$	−20.5119	+	39.3412i	−0.767102	+	1.47128i
$716$	−4.83400	−	2.71975i	−0.180655	−	0.101642i
$717$	−32.5630	−	32.5630i	−1.21609	−	1.21609i
$718$	8.97661	−	34.2615i	0.335004	−	1.27863i
$719$	41.2932			1.53998			0.769988	−	0.638059i	$-0.220262\pi$
$719$	41.2932			1.53998			0.769988	+	0.638059i	$0.220262\pi$
$720$	−0.505928	−	31.5244i	−0.0188548	−	1.17484i
$721$		−	1.00925i		−	0.0375864i
$722$	−4.60309	−	1.20602i	−0.171309	−	0.0448836i
$723$	12.4012	+	12.4012i	0.461204	+	0.461204i
$724$	−29.6717	−	16.6941i	−1.10274	−	0.620433i
$725$	−12.4449	+	6.98155i	−0.462193	+	0.259288i
$726$	−60.1357	+	35.1663i	−2.23184	+	1.30514i
$727$	27.2166	+	27.2166i	1.00941	+	1.00941i	0.999955	+	0.00945375i	$0.00300927\pi$
$727$	27.2166	+	27.2166i	1.00941	+	1.00941i	0.00945375	+	0.999955i	$0.496991\pi$
$728$	−2.35729	+	0.155413i	−0.0873669	+	0.00575999i
$729$		−	35.4782i		−	1.31401i
$730$	−0.0110677	+	17.8386i	−0.000409634	+	0.660236i
$731$		−	25.5271i		−	0.944154i
$732$	−18.1113	+	5.06925i	−0.669411	+	0.187365i
$733$	−21.4865	+	21.4865i	−0.793621	+	0.793621i	−0.982081	−	0.188460i	$-0.939651\pi$
$733$	−21.4865	+	21.4865i	−0.793621	+	0.793621i	0.188460	+	0.982081i	$0.439651\pi$
$734$	−21.1348	−	36.1413i	−0.780100	−	1.33400i
$735$	38.3870	−	10.0321i	1.41593	−	0.370039i
$736$	−27.4603	−	14.8529i	−1.01220	−	0.547485i
$737$	−14.0850	+	14.0850i	−0.518827	+	0.518827i
$738$	5.16590	+	1.35348i	0.190159	+	0.0498224i
$739$		−	6.00692i		−	0.220968i	−0.993878	−	0.110484i	$-0.964760\pi$
$739$		−	6.00692i		−	0.220968i	0.993878	−	0.110484i	$-0.0352401\pi$
$740$	−11.1230	−	2.92165i	−0.408891	−	0.107402i
$741$	−26.9857	−	24.4546i	−0.991346	−	0.898363i
$742$	3.36621	+	0.881958i	0.123577	+	0.0323777i
$743$	34.5313	+	34.5313i	1.26683	+	1.26683i	0.947717	+	0.319112i	$0.103385\pi$
$743$	34.5313	+	34.5313i	1.26683	+	1.26683i	0.319112	+	0.947717i	$0.396615\pi$
$744$	34.9828	−	0.583142i	1.28253	−	0.0213790i
$745$	0.139055	−	0.237452i	0.00509460	−	0.00869957i
$746$	6.10028	+	10.4317i	0.223347	+	0.381932i
$747$	29.8067	−	29.8067i	1.09057	−	1.09057i
$748$	−80.0134	+	22.3953i	−2.92558	+	0.818855i
$749$	1.74475			0.0637516
$750$	35.2367	−	19.7389i	1.28666	−	0.720762i
$751$		−	21.7044i		−	0.792004i	−0.918250	−	0.396002i	$-0.870397\pi$
$751$		−	21.7044i		−	0.792004i	0.918250	−	0.396002i	$-0.129603\pi$
$752$	16.1767	+	3.95142i	0.589902	+	0.144094i
$753$	−53.3961	−	53.3961i	−1.94586	−	1.94586i
$754$	2.99192	−	14.2412i	0.108959	−	0.518633i
$755$	−11.4650	+	19.5777i	−0.417253	+	0.712504i
$756$	0.541487	+	0.304656i	0.0196937	+	0.0110802i
$757$	17.2030	−	17.2030i	0.625255	−	0.625255i	−0.321615	−	0.946870i	$-0.604226\pi$
$757$	17.2030	−	17.2030i	0.625255	−	0.625255i	0.946870	+	0.321615i	$0.104226\pi$
$758$	−2.82075	+	10.7661i	−0.102454	+	0.391042i
$759$		−	77.5804i		−	2.81599i
$760$	−6.72567	−	24.0868i	−0.243966	−	0.873721i
$761$			28.0417i			1.01651i	0.861206	+	0.508256i	$0.169709\pi$
$761$			28.0417i			1.01651i	−0.861206	+	0.508256i	$0.830291\pi$
$762$	9.43576	+	2.47220i	0.341822	+	0.0895583i
$763$	0.744059	−	0.744059i	0.0269368	−	0.0269368i
$764$	−10.6619	+	18.9502i	−0.385736	+	0.685596i
$765$	57.5705	−	15.0455i	2.08146	−	0.543970i
$766$	14.3291	+	24.5033i	0.517730	+	0.885339i
$767$	−0.602573	−	12.2461i	−0.0217577	−	0.442182i
$768$	12.3217	+	38.9689i	0.444622	+	1.40617i
$769$	11.2528			0.405786			0.202893	−	0.979201i	$-0.434966\pi$
$769$	11.2528			0.405786			0.202893	+	0.979201i	$0.434966\pi$
$770$	0.00250116	−	4.03130i	9.01355e−5	−	0.145278i
$771$			63.1067i			2.27273i
$772$	−3.96299	+	1.10922i	−0.142631	+	0.0399217i
$773$	−16.3681	+	16.3681i	−0.588719	+	0.588719i	−0.937285	−	0.348565i	$-0.886669\pi$
$773$	−16.3681	+	16.3681i	−0.588719	+	0.588719i	0.348565	+	0.937285i	$0.386669\pi$
$774$	−8.50929	−	14.5512i	−0.305860	−	0.523033i
$775$	11.8466	+	21.1171i	0.425542	+	0.758548i
$776$	−0.449352	−	26.9567i	−0.0161308	−	0.967689i
$777$	1.07599	−	1.07599i	0.0386009	−	0.0386009i
$778$	2.45918	−	9.38609i	0.0881660	−	0.336508i
$779$	4.23587			0.151766
$780$	−8.49342	+	40.3033i	−0.304113	+	1.44309i
$781$	−4.65012			−0.166394
$782$	14.9336	−	56.9976i	0.534023	−	2.03823i
$783$	−2.70622	+	2.70622i	−0.0967122	+	0.0967122i
$784$	−23.7482	+	14.4240i	−0.848148	+	0.515142i
$785$	0.805956	+	3.08394i	0.0287658	+	0.110070i
$786$	23.5584	+	40.2859i	0.840302	+	1.43695i
$787$	−5.28878	+	5.28878i	−0.188525	+	0.188525i	−0.795058	−	0.606533i	$-0.792560\pi$
$787$	−5.28878	+	5.28878i	−0.188525	+	0.188525i	0.606533	+	0.795058i	$0.292560\pi$
$788$	−4.94382	−	17.6631i	−0.176116	−	0.629223i
$789$			43.2962i			1.54139i
$790$	−14.4836	+	14.4657i	−0.515304	+	0.514665i
$791$	1.76276			0.0626766
$792$	−38.1447	+	39.4379i	−1.35541	+	1.40137i
$793$	13.2572	−	0.652326i	0.470779	−	0.0231648i
$794$	−19.9539	−	34.1219i	−0.708136	−	1.21094i
$795$	30.6594	−	52.3542i	1.08738	−	1.85681i
$796$	−26.8595	−	15.1119i	−0.952008	−	0.535627i
$797$	26.0365	−	26.0365i	0.922259	−	0.922259i	−0.0749300	−	0.997189i	$-0.523873\pi$
$797$	26.0365	−	26.0365i	0.922259	−	0.922259i	0.997189	+	0.0749300i	$0.0238733\pi$
$798$	3.20095	+	0.838658i	0.113312	+	0.0296882i
$799$			31.4280i			1.11184i
$800$	−19.6891	+	20.3061i	−0.696115	+	0.717931i
$801$			29.4868i			1.04186i
$802$	1.44338	−	5.50902i	0.0509675	−	0.194530i
$803$	21.9509	−	21.9509i	0.774631	−	0.774631i
$804$	−9.06748	+	16.1163i	−0.319785	+	0.568378i
$805$	2.46688	+	1.44464i	0.0869462	+	0.0509170i
$806$	−24.1650	−	5.07682i	−0.851177	−	0.178823i
$807$	−13.7421	−	13.7421i	−0.483746	−	0.483746i
$808$	−9.65652	−	9.33986i	−0.339715	−	0.328575i
$809$		−	23.8154i		−	0.837303i	−0.908147	−	0.418652i	$-0.862503\pi$
$809$		−	23.8154i		−	0.837303i	0.908147	−	0.418652i	$-0.137497\pi$
$810$	−15.9965	+	15.9767i	−0.562060	+	0.561363i
$811$	30.0828			1.05635			0.528176	−	0.849135i	$-0.322876\pi$
$811$	30.0828			1.05635			0.528176	+	0.849135i	$0.322876\pi$
$812$	0.356388	+	1.27329i	0.0125068	+	0.0446838i
$813$	38.4427	−	38.4427i	1.34825	−	1.34825i
$814$	10.1028	+	17.2761i	0.354102	+	0.605528i
$815$	21.6445	−	5.65658i	0.758174	−	0.198141i
$816$	−65.9276	+	40.0426i	−2.30793	+	1.40177i
$817$	−9.45444	−	9.45444i	−0.330769	−	0.330769i
$818$	24.2351	+	6.34967i	0.847360	+	0.222011i
$819$	−2.18166	−	1.97703i	−0.0762334	−	0.0690831i
$820$	−2.41583	−	4.13706i	−0.0843645	−	0.144472i
$821$		−	2.94162i		−	0.102663i	−0.998682	−	0.0513316i	$-0.983653\pi$
$821$		−	2.94162i		−	0.102663i	0.998682	−	0.0513316i	$-0.0163465\pi$
$822$	41.3278	+	10.8280i	1.44147	+	0.377670i
$823$	−1.41844	+	1.41844i	−0.0494436	+	0.0494436i	−0.731396	−	0.681953i	$-0.761131\pi$
$823$	−1.41844	+	1.41844i	−0.0494436	+	0.0494436i	0.681953	+	0.731396i	$0.261131\pi$
$824$	12.3210	−	0.205383i	0.429222	−	0.00715487i
$825$	−67.6609	−	19.0285i	−2.35565	−	0.662488i
$826$	0.562377	+	0.961686i	0.0195676	+	0.0334613i
$827$	8.01605	−	8.01605i	0.278745	−	0.278745i	−0.553863	−	0.832608i	$-0.686847\pi$
$827$	8.01605	−	8.01605i	0.278745	−	0.278745i	0.832608	+	0.553863i	$0.186847\pi$
$828$	−10.4872	−	37.4684i	−0.364456	−	1.30212i
$829$			23.0413i			0.800256i	0.916459	+	0.400128i	$0.131034\pi$
$829$			23.0413i			0.800256i	−0.916459	+	0.400128i	$0.868966\pi$
$830$	−37.8156	−	0.0234621i	−1.31260	−	0.000814383i
$831$		−	9.28736i		−	0.322175i
$832$	−2.37700	−	28.7463i	−0.0824077	−	0.996599i
$833$	−37.0804	−	37.0804i	−1.28476	−	1.28476i
$834$	−27.0882	+	15.8407i	−0.937988	+	0.548518i
$835$	−3.88645	−	14.8712i	−0.134496	−	0.514641i
$836$	−21.3399	+	37.9290i	−0.738056	+	1.31180i
$837$	4.59202	+	4.59202i	0.158723	+	0.158723i
$838$	14.2177	+	3.72508i	0.491142	+	0.128681i
$839$		−	26.0910i		−	0.900763i	−0.892836	−	0.450381i	$-0.851288\pi$
$839$		−	26.0910i		−	0.900763i	0.892836	−	0.450381i	$-0.148712\pi$
$840$	−1.00649	−	3.60458i	−0.0347273	−	0.124370i
$841$	20.8553			0.719147
$842$	7.55280	−	28.8272i	0.260287	−	0.993449i
$843$	−38.8949	−	38.8949i	−1.33961	−	1.33961i
$844$	11.6341	−	20.6781i	0.400462	−	0.711771i
$845$	12.1561	−	26.4051i	0.418183	−	0.908363i
$846$	10.4763	+	17.9149i	0.360183	+	0.615927i
$847$	−3.15880	+	3.15880i	−0.108538	+	0.108538i
$848$	−10.0820	+	41.2744i	−0.346216	+	1.41737i
$849$			53.8339i			1.84758i
$850$	−46.0470	−	27.0042i	−1.57940	−	0.926237i
$851$	−14.1922			−0.486504
$852$	−4.15718	+	1.16357i	−0.142423	+	0.0398633i
$853$	3.64717	−	3.64717i	0.124877	−	0.124877i	−0.641906	−	0.766783i	$-0.721856\pi$
$853$	3.64717	−	3.64717i	0.124877	−	0.124877i	0.766783	+	0.641906i	$0.221856\pi$
$854$	−1.04109	+	0.608810i	−0.0356253	+	0.0208331i
$855$	15.7499	−	26.8947i	0.538636	−	0.919778i
$856$	0.355058	+	21.3000i	0.0121356	+	0.728018i
$857$	35.3425	−	35.3425i	1.20728	−	1.20728i	0.235369	−	0.971906i	$-0.424370\pi$
$857$	35.3425	−	35.3425i	1.20728	−	1.20728i	0.971906	−	0.235369i	$-0.0756300\pi$
$858$	60.0216	−	39.1803i	2.04910	−	1.33759i
$859$	30.2247			1.03125			0.515626	−	0.856814i	$-0.327559\pi$
$859$	30.2247			1.03125			0.515626	+	0.856814i	$0.327559\pi$
$860$	−3.84176	+	14.6260i	−0.131003	+	0.498742i
$861$	0.633896			0.0216031
$862$	−12.2549	−	3.21083i	−0.417405	−	0.109361i
$863$	−15.8426	−	15.8426i	−0.539287	−	0.539287i	0.384032	−	0.923320i	$-0.374535\pi$
$863$	−15.8426	−	15.8426i	−0.539287	−	0.539287i	−0.923320	+	0.384032i	$0.874535\pi$
$864$	−3.60907	+	6.67251i	−0.122783	+	0.227003i
$865$	−31.4235	+	8.21222i	−1.06843	+	0.279224i
$866$	7.95626	+	13.6055i	0.270365	+	0.462334i
$867$	−72.2334	−	72.2334i	−2.45318	−	2.45318i
$868$	2.16058	−	0.604734i	0.0733347	−	0.0205260i
$869$	35.6230			1.20843
$870$	23.0530	+	0.0143029i	0.781571	+	0.000484915i
$871$	8.76360	−	9.67066i	0.296943	−	0.327678i
$872$	9.23495	+	8.93211i	0.312735	+	0.302479i
$873$	23.7588	−	23.7588i	0.804113	−	0.804113i
$874$	−15.5792	−	26.6410i	−0.526975	−	0.901147i
$875$	1.86499	−	1.79713i	0.0630483	−	0.0607541i
$876$	14.1313	−	25.1166i	0.477454	−	0.848613i
$877$	23.2929	+	23.2929i	0.786544	+	0.786544i	0.980926	−	0.194382i	$-0.0622700\pi$
$877$	23.2929	+	23.2929i	0.786544	+	0.786544i	−0.194382	+	0.980926i	$0.562270\pi$
$878$	9.20495	+	2.41172i	0.310652	+	0.0813918i
$879$			70.7675i			2.38693i
$880$	49.2149	−	0.789839i	1.65903	−	0.0266255i
$881$	11.2014			0.377383			0.188692	−	0.982036i	$-0.439575\pi$
$881$	11.2014			0.377383			0.188692	+	0.982036i	$0.439575\pi$
$882$	−33.4974	−	8.77643i	−1.12792	−	0.295518i
$883$	1.25527	−	1.25527i	0.0422433	−	0.0422433i	−0.685670	−	0.727913i	$-0.740491\pi$
$883$	1.25527	−	1.25527i	0.0422433	−	0.0422433i	0.727913	+	0.685670i	$0.240491\pi$
$884$	51.6392	−	17.2318i	1.73681	−	0.579567i
$885$	18.7923	−	4.91119i	0.631697	−	0.165088i
$886$	34.5015	−	20.1759i	1.15910	−	0.677822i
$887$	−33.8555	−	33.8555i	−1.13676	−	1.13676i	−0.989028	−	0.147730i	$-0.952803\pi$
$887$	−33.8555	−	33.8555i	−1.13676	−	1.13676i	−0.147730	−	0.989028i	$-0.547197\pi$
$888$	13.3547	+	12.9168i	0.448155	+	0.433459i
$889$	0.625499			0.0209786
$890$	18.7165	−	18.6933i	0.627378	−	0.626600i
$891$	39.3440			1.31807
$892$	10.1662	+	36.3214i	0.340389	+	1.21613i
$893$	11.6399	+	11.6399i	0.389516	+	0.389516i
$894$	−0.383754	+	0.224413i	−0.0128347	+	0.00750548i
$895$	−3.13375	+	5.35120i	−0.104750	+	0.178871i
$896$	1.39769	+	2.21706i	0.0466934	+	0.0740667i
$897$	2.49806	+	50.7682i	0.0834078	+	1.69510i
$898$	−35.8655	−	9.39688i	−1.19685	−	0.313578i
$899$			13.8203i			0.460934i
$900$	−35.2498	−	0.0437405i	−1.17499	−	0.00145802i
$901$	−80.1879			−2.67145
$902$	−2.11301	+	8.06484i	−0.0703556	+	0.268530i
$903$	−1.41485	−	1.41485i	−0.0470833	−	0.0470833i
$904$	0.358724	+	21.5199i	0.0119310	+	0.715742i
$905$	−19.2353	+	32.8464i	−0.639404	+	1.09185i
$906$	31.6401	−	18.5026i	1.05117	−	0.614707i
$907$	0.931097	+	0.931097i	0.0309166	+	0.0309166i	0.722396	−	0.691480i	$-0.243041\pi$
$907$	0.931097	+	0.931097i	0.0309166	+	0.0309166i	−0.691480	+	0.722396i	$0.743041\pi$
$908$	34.0114	−	9.51961i	1.12871	−	0.315919i
$909$		−	16.7428i		−	0.555325i
$910$	0.128169	+	2.63814i	0.00424878	+	0.0874534i
$911$		−	42.6566i		−	1.41328i	−0.707575	−	0.706638i	$-0.750211\pi$
$911$		−	42.6566i		−	1.41328i	0.707575	−	0.706638i	$-0.249789\pi$
$912$	−9.58700	+	39.2480i	−0.317457	+	1.29963i
$913$	46.5332	+	46.5332i	1.54003	+	1.54003i
$914$	24.5131	+	41.9183i	0.810820	+	1.38653i
$915$	5.31669	+	20.3439i	0.175764	+	0.672550i
$916$	−39.2199	−	22.0662i	−1.29586	−	0.729088i
$917$	2.11613	+	2.11613i	0.0698807	+	0.0698807i
$918$	−13.8497	−	3.62867i	−0.457108	−	0.119764i
$919$	−11.0769			−0.365392			−0.182696	−	0.983169i	$-0.558482\pi$
$919$	−11.0769			−0.365392			−0.182696	+	0.983169i	$0.558482\pi$
$920$	−17.1343	+	30.4099i	−0.564901	+	1.00258i
$921$		−	34.2808i		−	1.12959i
$922$	6.82956	−	26.0667i	0.224919	−	0.858461i
$923$	3.04301	−	0.149732i	0.100162	−	0.00492849i
$924$	−3.19350	+	5.67605i	−0.105059	+	0.186728i
$925$	−3.48100	+	12.3776i	−0.114454	+	0.406973i
$926$	25.8348	+	44.1786i	0.848985	+	1.45180i
$927$	10.8593	+	10.8593i	0.356667	+	0.356667i
$928$	−15.4719	+	4.60993i	−0.507890	+	0.151328i
$929$	60.4609			1.98366			0.991828	−	0.127580i	$-0.0407209\pi$
$929$	60.4609			1.98366			0.991828	+	0.127580i	$0.0407209\pi$
$930$	0.0242698	−	39.1174i	0.000795838	−	1.28271i
$931$	−27.4668			−0.900189
$932$	−1.84170	−	6.57997i	−0.0603269	−	0.215534i
$933$	−19.9685	−	19.9685i	−0.653740	−	0.653740i
$934$	15.9330	+	27.2461i	0.521344	+	0.891518i
$935$	23.4885	+	89.8772i	0.768157	+	2.93930i
$936$	23.6918	−	27.0362i	0.774390	−	0.883706i
$937$	26.5016	−	26.5016i	0.865769	−	0.865769i	−0.126232	−	0.992001i	$-0.540288\pi$
$937$	26.5016	−	26.5016i	0.865769	−	0.865769i	0.992001	+	0.126232i	$0.0402882\pi$
$938$	−0.300543	+	1.14710i	−0.00981307	+	0.0374540i
$939$	56.4599			1.84250
$940$	4.72983	−	18.0070i	0.154270	−	0.587323i
$941$		−	47.4704i		−	1.54749i	−0.633497	−	0.773745i	$-0.718381\pi$
$941$		−	47.4704i		−	1.54749i	0.633497	−	0.773745i	$-0.281619\pi$
$942$	1.30515	−	4.98144i	0.0425242	−	0.162304i
$943$	−4.18052	−	4.18052i	−0.136137	−	0.136137i
$944$	−11.6259	+	7.06124i	−0.378390	+	0.229824i
$945$	0.351030	−	0.599422i	0.0114190	−	0.0194992i
$946$	22.7169	−	13.2844i	0.738590	−	0.431914i
$947$	−13.2944	+	13.2944i	−0.432011	+	0.432011i	−0.889312	−	0.457301i	$-0.848816\pi$
$947$	−13.2944	+	13.2944i	−0.432011	+	0.432011i	0.457301	+	0.889312i	$0.348816\pi$
$948$	31.8467	−	8.91373i	1.03433	−	0.289505i
$949$	−13.6577	+	15.0714i	−0.443349	+	0.489237i
$950$	−27.0559	+	7.05286i	−0.877808	+	0.228825i
$951$	−36.1354			−1.17177
$952$	−3.43883	+	3.55542i	−0.111453	+	0.115232i
$953$	9.18026	+	9.18026i	0.297378	+	0.297378i	0.839986	−	0.542608i	$-0.182563\pi$
$953$	9.18026	+	9.18026i	0.297378	+	0.297378i	−0.542608	+	0.839986i	$0.682563\pi$
$954$	−45.7095	+	26.7301i	−1.47990	+	0.865419i
$955$	20.9778	+	12.2849i	0.678825	+	0.397530i
$956$	17.6800	−	31.4239i	0.571812	−	1.01632i
$957$	−28.3675	−	28.3675i	−0.916990	−	0.916990i
$958$	9.19069	−	35.0786i	0.296938	−	1.13334i
$959$	2.73963			0.0884673
$960$	43.8001	−	13.0209i	1.41364	−	0.420247i
$961$	−7.54909			−0.243519
$962$	−7.16748	−	10.9801i	−0.231089	−	0.354012i
$963$	−18.7731	+	18.7731i	−0.604956	+	0.604956i
$964$	−6.73318	+	11.9674i	−0.216861	+	0.385443i
$965$	1.16337	+	4.45154i	0.0374501	+	0.143300i
$966$	−2.33142	−	3.98682i	−0.0750122	−	0.128274i
$967$	34.8396	−	34.8396i	1.12037	−	1.12037i	0.128679	−	0.991686i	$-0.458926\pi$
$967$	34.8396	−	34.8396i	1.12037	−	1.12037i	0.991686	−	0.128679i	$-0.0410738\pi$
$968$	−39.2056	−	37.9200i	−1.26012	−	1.21879i
$969$	−76.2511			−2.44954
$970$	−30.1427	−	0.0187016i	−0.967823	−	0.000600472i
$971$			53.1110i			1.70441i	0.523206	+	0.852206i	$0.324736\pi$
$971$			53.1110i			1.70441i	−0.523206	+	0.852206i	$0.675264\pi$
$972$	42.9217	−	12.0136i	1.37671	−	0.385335i
$973$	−1.42288	+	1.42288i	−0.0456156	+	0.0456156i
$974$	−50.8114	+	29.7136i	−1.62810	+	0.952086i
$975$	44.8896	+	10.2735i	1.43762	+	0.329015i
$976$	−7.64426	−	12.5858i	−0.244687	−	0.402862i
$977$	42.6478	+	42.6478i	1.36442	+	1.36442i	0.868187	+	0.496238i	$0.165286\pi$
$977$	42.6478	+	42.6478i	1.36442	+	1.36442i	0.496238	+	0.868187i	$0.334714\pi$
$978$	−34.9621	−	9.16017i	−1.11796	−	0.292910i
$979$	−46.0338			−1.47125
$980$	15.6651	+	26.8261i	0.500402	+	0.856927i
$981$			16.0119i			0.511220i
$982$	−0.296572	+	1.13194i	−0.00946398	+	0.0361216i
$983$	20.3093	+	20.3093i	0.647767	+	0.647767i	0.952453	−	0.304686i	$-0.0985514\pi$
$983$	20.3093	+	20.3093i	0.647767	+	0.647767i	−0.304686	+	0.952453i	$0.598551\pi$
$984$	0.128998	+	7.73864i	0.00411232	+	0.246699i
$985$	−19.8406	+	5.18514i	−0.632174	+	0.165212i
$986$	−15.3808	−	26.3018i	−0.489825	−	0.837620i
$987$	1.74191	+	1.74191i	0.0554456	+	0.0554456i
$988$	12.7434	−	25.5076i	0.405422	−	0.811506i
$989$			18.6618i			0.593410i
$990$	43.3491	+	43.4029i	1.37773	+	1.37944i
$991$		−	10.5853i		−	0.336254i	−0.985765	−	0.168127i	$-0.946228\pi$
$991$		−	10.5853i		−	0.336254i	0.985765	−	0.168127i	$-0.0537718\pi$
$992$	7.82232	+	26.2534i	0.248359	+	0.833546i
$993$	−22.4050	+	22.4050i	−0.711002	+	0.711002i
$994$	−0.238967	+	0.139744i	−0.00757957	+	0.00443240i
$995$	−17.4122	+	29.7332i	−0.552004	+	0.942606i
$996$	53.2442	+	29.9567i	1.68711	+	0.949214i
$997$	−38.2677	+	38.2677i	−1.21195	+	1.21195i	−0.241566	+	0.970384i	$0.577661\pi$
$997$	−38.2677	+	38.2677i	−1.21195	+	1.21195i	−0.970384	+	0.241566i	$0.922339\pi$
$998$	1.24088	−	4.73614i	0.0392795	−	0.149920i
$999$			3.44854i			0.109107i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.p.d.103.2	✓	64
4.3	odd	2	inner	260.2.p.d.103.15	yes	64
5.2	odd	4	inner	260.2.p.d.207.18	yes	64
13.12	even	2	inner	260.2.p.d.103.31	yes	64
20.7	even	4	inner	260.2.p.d.207.31	yes	64
52.51	odd	2	inner	260.2.p.d.103.18	yes	64
65.12	odd	4	inner	260.2.p.d.207.15	yes	64
260.207	even	4	inner	260.2.p.d.207.2	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.2	✓	64	1.1	even	1	trivial
260.2.p.d.103.15	yes	64	4.3	odd	2	inner
260.2.p.d.103.18	yes	64	52.51	odd	2	inner
260.2.p.d.103.31	yes	64	13.12	even	2	inner
260.2.p.d.207.2	yes	64	260.207	even	4	inner
260.2.p.d.207.15	yes	64	65.12	odd	4	inner
260.2.p.d.207.18	yes	64	5.2	odd	4	inner
260.2.p.d.207.31	yes	64	20.7	even	4	inner

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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.p (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.36804 - 0.358430i) q^{2} +(1.80624 - 1.80624i) q^{3} +(1.74306 + 0.980692i) q^{4} +(1.12997 - 1.92955i) q^{5} +(-3.11841 + 1.82359i) q^{6} +(-0.163803 + 0.163803i) q^{7} +(-2.03306 - 1.96639i) q^{8} -3.52499i q^{9} +O(q^{10})\)	\(q+(-1.36804 - 0.358430i) q^{2} +(1.80624 - 1.80624i) q^{3} +(1.74306 + 0.980692i) q^{4} +(1.12997 - 1.92955i) q^{5} +(-3.11841 + 1.82359i) q^{6} +(-0.163803 + 0.163803i) q^{7} +(-2.03306 - 1.96639i) q^{8} -3.52499i q^{9} +(-2.23745 + 2.23468i) q^{10} +5.50310 q^{11} +(4.91974 - 1.37701i) q^{12} +(-3.60119 + 0.177198i) q^{13} +(0.282801 - 0.165377i) q^{14} +(-1.44422 - 5.52622i) q^{15} +(2.07649 + 3.41880i) q^{16} +(-5.33812 + 5.33812i) q^{17} +(-1.26346 + 4.82232i) q^{18} +3.95414i q^{19} +(3.86190 - 2.25516i) q^{20} +0.591735i q^{21} +(-7.52845 - 1.97248i) q^{22} +(3.90248 - 3.90248i) q^{23} +(-7.22395 + 0.120419i) q^{24} +(-2.44632 - 4.36068i) q^{25} +(4.99008 + 1.04836i) q^{26} +(-0.948252 - 0.948252i) q^{27} +(-0.446159 + 0.124878i) q^{28} -2.85390i q^{29} +(-0.00501172 + 8.07774i) q^{30} -4.84261 q^{31} +(-1.61531 - 5.42133i) q^{32} +(9.93990 - 9.93990i) q^{33} +(9.21610 - 5.38941i) q^{34} +(0.130973 + 0.501160i) q^{35} +(3.45693 - 6.14425i) q^{36} +(-1.81836 - 1.81836i) q^{37} +(1.41729 - 5.40942i) q^{38} +(-6.18455 + 6.82467i) q^{39} +(-6.09154 + 1.70092i) q^{40} -1.07125i q^{41} +(0.212096 - 0.809516i) q^{42} +(-2.39102 + 2.39102i) q^{43} +(9.59220 + 5.39684i) q^{44} +(-6.80164 - 3.98314i) q^{45} +(-6.73750 + 3.93997i) q^{46} +(2.94373 - 2.94373i) q^{47} +(9.92579 + 2.42454i) q^{48} +6.94634i q^{49} +(1.78366 + 6.84241i) q^{50} +19.2838i q^{51} +(-6.45086 - 3.22280i) q^{52} +(7.51087 + 7.51087i) q^{53} +(0.957363 + 1.63713i) q^{54} +(6.21835 - 10.6185i) q^{55} +(0.655122 - 0.0109205i) q^{56} +(7.14212 + 7.14212i) q^{57} +(-1.02292 + 3.90424i) q^{58} +3.40057i q^{59} +(2.90216 - 11.0489i) q^{60} -3.68135 q^{61} +(6.62488 + 1.73574i) q^{62} +(0.577405 + 0.577405i) q^{63} +(0.266636 + 7.99556i) q^{64} +(-3.72734 + 7.14891i) q^{65} +(-17.1609 + 10.0354i) q^{66} +(-2.55946 + 2.55946i) q^{67} +(-14.5397 + 4.06959i) q^{68} -14.0976i q^{69} +(0.000454500 - 0.732551i) q^{70} -0.845000 q^{71} +(-6.93149 + 7.16650i) q^{72} +(3.98883 - 3.98883i) q^{73} +(1.83583 + 3.13935i) q^{74} +(-12.2951 - 3.45778i) q^{75} +(-3.87780 + 6.89229i) q^{76} +(-0.901426 + 0.901426i) q^{77} +(10.9069 - 7.11968i) q^{78} +6.47326 q^{79} +(8.94312 - 0.143526i) q^{80} +7.14942 q^{81} +(-0.383968 + 1.46551i) q^{82} +(8.45583 + 8.45583i) q^{83} +(-0.580310 + 1.03143i) q^{84} +(4.26824 + 16.3321i) q^{85} +(4.12802 - 2.41399i) q^{86} +(-5.15482 - 5.15482i) q^{87} +(-11.1881 - 10.8212i) q^{88} -8.36507 q^{89} +(7.87722 + 7.88700i) q^{90} +(0.560862 - 0.618913i) q^{91} +(10.6294 - 2.97510i) q^{92} +(-8.74691 + 8.74691i) q^{93} +(-5.08226 + 2.97202i) q^{94} +(7.62972 + 4.46808i) q^{95} +(-12.7098 - 6.87457i) q^{96} +(6.74011 + 6.74011i) q^{97} +(2.48978 - 9.50285i) q^{98} -19.3983i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q+O(q^{10}) \) 64 * q	\( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Introduction

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