LMFDB - Embedded newform 588.2.x.a.55.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [588,2,Mod(55,588)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(588, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([7, 0, 9]))

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

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

chi := DirichletCharacter("588.55");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 588 = 2^{2} \cdot 3 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	588.x (of order $14$, degree $6$, 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:	$4.69520363885$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			55.2
Character	$\chi$	$=$	588.55
Dual form			588.2.x.a.139.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39924 - 0.205230i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.91576 + 0.574332i) q^{4} +(-1.72652 + 3.58517i) q^{5} +(1.17163 + 0.792014i) q^{6} +(1.74761 + 1.98642i) q^{7} +(-2.56275 - 1.19680i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})$	\(q+(-1.39924 - 0.205230i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.91576 + 0.574332i) q^{4} +(-1.72652 + 3.58517i) q^{5} +(1.17163 + 0.792014i) q^{6} +(1.74761 + 1.98642i) q^{7} +(-2.56275 - 1.19680i) q^{8} +(0.623490 + 0.781831i) q^{9} +(3.15161 - 4.66218i) q^{10} +(0.270269 + 0.215532i) q^{11} +(-1.47685 - 1.34867i) q^{12} +(4.11705 + 3.28323i) q^{13} +(-2.03765 - 3.13815i) q^{14} +(3.11109 - 2.48101i) q^{15} +(3.34028 + 2.20057i) q^{16} +(-6.18110 - 1.41080i) q^{17} +(-0.711959 - 1.22193i) q^{18} -4.78527 q^{19} +(-5.36669 + 5.87672i) q^{20} +(-0.712662 - 2.54796i) q^{21} +(-0.333938 - 0.357049i) q^{22} +(8.08545 - 1.84545i) q^{23} +(1.78968 + 2.19021i) q^{24} +(-6.75507 - 8.47059i) q^{25} +(-5.08693 - 5.43898i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(2.20713 + 4.80922i) q^{28} +(-0.479403 + 2.10040i) q^{29} +(-4.86235 + 2.83305i) q^{30} -5.87291 q^{31} +(-4.22225 - 3.76465i) q^{32} +(-0.149988 - 0.311453i) q^{33} +(8.35932 + 3.24259i) q^{34} +(-10.1389 + 2.83585i) q^{35} +(0.745427 + 1.85589i) q^{36} +(-0.963703 + 4.22226i) q^{37} +(6.69576 + 0.982080i) q^{38} +(-2.28479 - 4.74441i) q^{39} +(8.71538 - 7.12156i) q^{40} +(-0.142438 + 0.295776i) q^{41} +(0.474270 + 3.71148i) q^{42} +(-0.748601 - 1.55449i) q^{43} +(0.393984 + 0.568133i) q^{44} +(-3.87947 + 0.885463i) q^{45} +(-11.6923 + 0.922860i) q^{46} +(1.26110 - 1.58137i) q^{47} +(-2.05470 - 3.43194i) q^{48} +(-0.891747 + 6.94297i) q^{49} +(7.71357 + 13.2388i) q^{50} +(4.95686 + 3.95296i) q^{51} +(6.00161 + 8.65445i) q^{52} +(2.60542 + 11.4151i) q^{53} +(0.111277 + 1.40983i) q^{54} +(-1.23935 + 0.596837i) q^{55} +(-2.10132 - 7.18223i) q^{56} +(4.31138 + 2.07625i) q^{57} +(1.10187 - 2.84059i) q^{58} +(-2.99202 + 1.44088i) q^{59} +(7.38503 - 2.96623i) q^{60} +(-5.09500 - 1.16290i) q^{61} +(8.21763 + 1.20530i) q^{62} +(-0.463433 + 2.60485i) q^{63} +(5.13533 + 6.13420i) q^{64} +(-18.8791 + 9.09171i) q^{65} +(0.145950 + 0.466581i) q^{66} -9.75884i q^{67} +(-11.0312 - 6.25275i) q^{68} +(-8.08545 - 1.84545i) q^{69} +(14.7688 - 1.88723i) q^{70} +(-13.7640 + 3.14155i) q^{71} +(-0.662149 - 2.74983i) q^{72} +(-4.38715 + 3.49864i) q^{73} +(2.21499 - 5.71019i) q^{74} +(2.41086 + 10.5627i) q^{75} +(-9.16744 - 2.74834i) q^{76} +(0.0441855 + 0.913534i) q^{77} +(2.22328 + 7.10749i) q^{78} -6.54813i q^{79} +(-13.6565 + 8.17614i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(0.260007 - 0.384629i) q^{82} +(3.48060 + 4.36453i) q^{83} +(0.0980864 - 5.29059i) q^{84} +(15.7298 - 19.7245i) q^{85} +(0.728448 + 2.32874i) q^{86} +(1.34326 - 1.68439i) q^{87} +(-0.434681 - 0.875813i) q^{88} +(2.73247 - 2.17907i) q^{89} +(5.61004 - 0.442796i) q^{90} +(0.673084 + 13.9160i) q^{91} +(16.5497 + 1.10829i) q^{92} +(5.29131 + 2.54816i) q^{93} +(-2.08913 + 1.95391i) q^{94} +(8.26189 - 17.1560i) q^{95} +(2.17069 + 5.22380i) q^{96} +0.588002i q^{97} +(2.67267 - 9.53188i) q^{98} +0.345687i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	$ 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) $ 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/588\mathbb{Z}\right)^\times$.

$n$	$197$	$295$	$493$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{14}\right)$

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 $

$2$	−1.39924	−	0.205230i	−0.989414	−	0.145119i
$2$	−1.39924	−	0.205230i	−0.989414	−	0.145119i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$3$	−0.900969	−	0.433884i	−0.520175	−	0.250503i
$4$	1.91576	+	0.574332i	0.957881	+	0.287166i
$5$	−1.72652	+	3.58517i	−0.772125	+	1.60333i	0.0251239	+	0.999684i	$0.492002\pi$
$5$	−1.72652	+	3.58517i	−0.772125	+	1.60333i	−0.797249	+	0.603650i	$0.793712\pi$
$6$	1.17163	+	0.792014i	0.478315	+	0.323338i
$7$	1.74761	+	1.98642i	0.660533	+	0.750797i
$7$	1.74761	+	1.98642i	0.660533	+	0.750797i
$8$	−2.56275	−	1.19680i	−0.906067	−	0.423133i
$9$	0.623490	+	0.781831i	0.207830	+	0.260610i
$10$	3.15161	−	4.66218i	0.996626	−	1.47431i
$11$	0.270269	+	0.215532i	0.0814892	+	0.0649854i	0.663387	−	0.748276i	$-0.269118\pi$
$11$	0.270269	+	0.215532i	0.0814892	+	0.0649854i	−0.581898	+	0.813262i	$0.697690\pi$
$12$	−1.47685	−	1.34867i	−0.426329	−	0.389328i
$13$	4.11705	+	3.28323i	1.14186	+	0.910605i	0.996888	−	0.0788298i	$-0.0251184\pi$
$13$	4.11705	+	3.28323i	1.14186	+	0.910605i	0.144975	+	0.989435i	$0.453690\pi$
$14$	−2.03765	−	3.13815i	−0.544586	−	0.838705i
$15$	3.11109	−	2.48101i	0.803280	−	0.640594i
$16$	3.34028	+	2.20057i	0.835071	+	0.550142i
$17$	−6.18110	−	1.41080i	−1.49914	−	0.342168i	−0.607280	−	0.794488i	$-0.707740\pi$
$17$	−6.18110	−	1.41080i	−1.49914	−	0.342168i	−0.891856	+	0.452319i	$0.850597\pi$
$18$	−0.711959	−	1.22193i	−0.167810	−	0.288012i
$19$	−4.78527			−1.09782			−0.548908	−	0.835882i	$-0.684956\pi$
$19$	−4.78527			−1.09782			−0.548908	+	0.835882i	$0.684956\pi$
$20$	−5.36669	+	5.87672i	−1.20003	+	1.31408i
$21$	−0.712662	−	2.54796i	−0.155516	−	0.556011i
$22$	−0.333938	−	0.357049i	−0.0711959	−	0.0761232i
$23$	8.08545	−	1.84545i	1.68593	−	0.384803i	0.731176	−	0.682189i	$-0.238972\pi$
$23$	8.08545	−	1.84545i	1.68593	−	0.384803i	0.954757	+	0.297386i	$0.0961148\pi$
$24$	1.78968	+	2.19021i	0.365317	+	0.447076i
$25$	−6.75507	−	8.47059i	−1.35101	−	1.69412i
$26$	−5.08693	−	5.43898i	−0.997629	−	1.06667i
$27$	−0.222521	−	0.974928i	−0.0428242	−	0.187625i
$28$	2.20713	+	4.80922i	0.417108	+	0.908857i
$29$	−0.479403	+	2.10040i	−0.0890230	+	0.390035i	−0.999735	−	0.0230060i	$-0.992676\pi$
$29$	−0.479403	+	2.10040i	−0.0890230	+	0.390035i	0.910712	+	0.413041i	$0.135533\pi$
$30$	−4.86235	+	2.83305i	−0.887739	+	0.517242i
$31$	−5.87291			−1.05481			−0.527403	−	0.849615i	$-0.676834\pi$
$31$	−5.87291			−1.05481			−0.527403	+	0.849615i	$0.676834\pi$
$32$	−4.22225	−	3.76465i	−0.746395	−	0.665503i
$33$	−0.149988	−	0.311453i	−0.0261096	−	0.0542171i
$34$	8.35932	+	3.24259i	1.43361	+	0.556100i
$35$	−10.1389	+	2.83585i	−1.71379	+	0.479346i
$36$	0.745427	+	1.85589i	0.124238	+	0.309316i
$37$	−0.963703	+	4.22226i	−0.158432	+	0.694135i	0.831843	+	0.555011i	$0.187286\pi$
$37$	−0.963703	+	4.22226i	−0.158432	+	0.694135i	−0.990275	+	0.139124i	$0.955571\pi$
$38$	6.69576	+	0.982080i	1.08620	+	0.159314i
$39$	−2.28479	−	4.74441i	−0.365859	−	0.759714i
$40$	8.71538	−	7.12156i	1.37802	−	1.12602i
$41$	−0.142438	+	0.295776i	−0.0222451	+	0.0461924i	−0.911795	−	0.410645i	$-0.865304\pi$
$41$	−0.142438	+	0.295776i	−0.0222451	+	0.0461924i	0.889550	+	0.456837i	$0.151018\pi$
$42$	0.474270	+	3.71148i	0.0731815	+	0.572693i
$43$	−0.748601	−	1.55449i	−0.114161	−	0.237057i	0.836058	−	0.548641i	$-0.184855\pi$
$43$	−0.748601	−	1.55449i	−0.114161	−	0.237057i	−0.950219	+	0.311584i	$0.899140\pi$
$44$	0.393984	+	0.568133i	0.0593953	+	0.0856492i
$45$	−3.87947	+	0.885463i	−0.578317	+	0.131997i
$46$	−11.6923	+	0.922860i	−1.72393	+	0.136068i
$47$	1.26110	−	1.58137i	0.183951	−	0.230667i	−0.681303	−	0.732002i	$-0.738586\pi$
$47$	1.26110	−	1.58137i	0.183951	−	0.230667i	0.865253	+	0.501335i	$0.167158\pi$
$48$	−2.05470	−	3.43194i	−0.296571	−	0.495358i
$49$	−0.891747	+	6.94297i	−0.127392	+	0.991852i
$50$	7.71357	+	13.2388i	1.09086	+	1.87224i
$51$	4.95686	+	3.95296i	0.694099	+	0.553525i
$52$	6.00161	+	8.65445i	0.832274	+	1.20016i
$53$	2.60542	+	11.4151i	0.357882	+	1.56798i	0.758458	+	0.651721i	$0.225953\pi$
$53$	2.60542	+	11.4151i	0.357882	+	1.56798i	−0.400576	+	0.916263i	$0.631190\pi$
$54$	0.111277	+	1.40983i	0.0151428	+	0.191853i
$55$	−1.23935	+	0.596837i	−0.167113	+	0.0804775i
$56$	−2.10132	−	7.18223i	−0.280800	−	0.959766i
$57$	4.31138	+	2.07625i	0.571057	+	0.275006i
$58$	1.10187	−	2.84059i	0.144682	−	0.372987i
$59$	−2.99202	+	1.44088i	−0.389528	+	0.187587i	−0.618389	−	0.785872i	$-0.712214\pi$
$59$	−2.99202	+	1.44088i	−0.389528	+	0.187587i	0.228861	+	0.973459i	$0.426500\pi$
$60$	7.38503	−	2.96623i	0.953403	−	0.382938i
$61$	−5.09500	−	1.16290i	−0.652348	−	0.148894i	−0.116476	−	0.993193i	$-0.537160\pi$
$61$	−5.09500	−	1.16290i	−0.652348	−	0.148894i	−0.535872	+	0.844299i	$0.680017\pi$
$62$	8.21763	+	1.20530i	1.04364	+	0.153073i
$63$	−0.463433	+	2.60485i	−0.0583871	+	0.328180i
$64$	5.13533	+	6.13420i	0.641916	+	0.766775i
$65$	−18.8791	+	9.09171i	−2.34167	+	1.12769i
$66$	0.145950	+	0.466581i	0.0179652	+	0.0574321i
$67$		−	9.75884i		−	1.19223i	−0.802898	−	0.596116i	$-0.796710\pi$
$67$		−	9.75884i		−	1.19223i	0.802898	−	0.596116i	$-0.203290\pi$
$68$	−11.0312	−	6.25275i	−1.33773	−	0.758258i
$69$	−8.08545	−	1.84545i	−0.973374	−	0.222166i
$70$	14.7688	−	1.88723i	1.76521	−	0.225567i
$71$	−13.7640	+	3.14155i	−1.63349	+	0.372833i	−0.938254	−	0.345948i	$-0.887557\pi$
$71$	−13.7640	+	3.14155i	−1.63349	+	0.372833i	−0.695236	+	0.718781i	$0.744700\pi$
$72$	−0.662149	−	2.74983i	−0.0780350	−	0.324070i
$73$	−4.38715	+	3.49864i	−0.513477	+	0.409484i	−0.845653	−	0.533733i	$-0.820789\pi$
$73$	−4.38715	+	3.49864i	−0.513477	+	0.409484i	0.332176	+	0.943217i	$0.392217\pi$
$74$	2.21499	−	5.71019i	0.257487	−	0.663796i
$75$	2.41086	+	10.5627i	0.278382	+	1.21967i
$76$	−9.16744	−	2.74834i	−1.05158	−	0.315256i
$77$	0.0441855	+	0.913534i	0.00503540	+	0.104107i
$78$	2.22328	+	7.10749i	0.251737	+	0.804765i
$79$		−	6.54813i		−	0.736722i	−0.929683	−	0.368361i	$-0.879919\pi$
$79$		−	6.54813i		−	0.736722i	0.929683	−	0.368361i	$-0.120081\pi$
$80$	−13.6565	+	8.17614i	−1.52684	+	0.914120i
$81$	−0.222521	+	0.974928i	−0.0247245	+	0.108325i
$82$	0.260007	−	0.384629i	0.0287130	−	0.0424752i
$83$	3.48060	+	4.36453i	0.382046	+	0.479070i	0.935256	−	0.353971i	$-0.115169\pi$
$83$	3.48060	+	4.36453i	0.382046	+	0.479070i	−0.553211	+	0.833041i	$0.686598\pi$
$84$	0.0980864	−	5.29059i	0.0107021	−	0.577251i
$85$	15.7298	−	19.7245i	1.70613	−	2.13942i
$86$	0.728448	+	2.32874i	0.0785506	+	0.251114i
$87$	1.34326	−	1.68439i	0.144012	−	0.180586i
$88$	−0.434681	−	0.875813i	−0.0463372	−	0.0933620i
$89$	2.73247	−	2.17907i	0.289641	−	0.230981i	−0.467880	−	0.883792i	$-0.654982\pi$
$89$	2.73247	−	2.17907i	0.289641	−	0.230981i	0.757521	+	0.652811i	$0.226411\pi$
$90$	5.61004	−	0.442796i	0.591350	−	0.0466748i
$91$	0.673084	+	13.9160i	0.0705583	+	1.45879i
$92$	16.5497	+	1.10829i	1.72543	+	0.115547i
$93$	5.29131	+	2.54816i	0.548684	+	0.264232i
$94$	−2.08913	+	1.95391i	−0.215477	+	0.201530i
$95$	8.26189	−	17.1560i	0.847652	−	1.76017i
$96$	2.17069	+	5.22380i	0.221545	+	0.533152i
$97$			0.588002i			0.0597026i	0.999554	+	0.0298513i	$0.00950337\pi$
$97$			0.588002i			0.0597026i	−0.999554	+	0.0298513i	$0.990497\pi$
$98$	2.67267	−	9.53188i	0.269981	−	0.962866i
$99$			0.345687i			0.0347429i
$100$	−8.07617	−	20.1073i	−0.807617	−	2.01073i
$101$	1.83298	−	3.80622i	0.182388	−	0.378734i	−0.789649	−	0.613559i	$-0.789737\pi$
$101$	1.83298	−	3.80622i	0.182388	−	0.378734i	0.972038	+	0.234825i	$0.0754517\pi$
$102$	−6.12458	−	6.54845i	−0.606424	−	0.648393i
$103$	−8.65208	−	4.16662i	−0.852515	−	0.410550i	−0.0440045	−	0.999031i	$-0.514012\pi$
$103$	−8.65208	−	4.16662i	−0.852515	−	0.410550i	−0.808511	+	0.588482i	$0.799726\pi$
$104$	−6.62156	−	13.3414i	−0.649298	−	1.30823i
$105$	10.3653	+	1.84411i	1.01155	+	0.179967i
$106$	−1.30290	−	16.5072i	−0.126549	−	1.60332i
$107$	5.69457	−	4.54127i	0.550515	−	0.439021i	−0.308313	−	0.951285i	$-0.599764\pi$
$107$	5.69457	−	4.54127i	0.550515	−	0.439021i	0.858828	+	0.512264i	$0.171193\pi$
$108$	0.133636	−	1.99553i	0.0128591	−	0.192020i
$109$	−2.47170	+	3.09942i	−0.236746	+	0.296870i	−0.885985	−	0.463715i	$-0.846516\pi$
$109$	−2.47170	+	3.09942i	−0.236746	+	0.296870i	0.649238	+	0.760585i	$0.275088\pi$
$110$	1.85663	−	0.580770i	0.177023	−	0.0553742i
$111$	2.70024	−	3.38599i	0.256295	−	0.321384i
$112$	1.46624	+	10.4809i	0.138547	+	0.990356i
$113$	3.53505	+	4.43281i	0.332549	+	0.417004i	0.919791	−	0.392408i	$-0.128358\pi$
$113$	3.53505	+	4.43281i	0.332549	+	0.417004i	−0.587242	+	0.809411i	$0.699786\pi$
$114$	−5.60656	−	3.79000i	−0.525103	−	0.354966i
$115$	−7.34348	+	32.1739i	−0.684783	+	3.00023i
$116$	−2.12475	+	3.74854i	−0.197278	+	0.348043i
$117$			5.26590i			0.486833i
$118$	4.48227	−	1.40209i	0.412627	−	0.129073i
$119$	−7.99969	−	14.7438i	−0.733330	−	1.35156i
$120$	−10.9422	+	2.63484i	−0.998883	+	0.240527i
$121$	−2.42114	−	10.6077i	−0.220104	−	0.964337i
$122$	6.89048	+	2.67283i	0.623835	+	0.241986i
$123$	0.256664	−	0.204683i	0.0231427	−	0.0184556i
$124$	−11.2511	−	3.37300i	−1.01038	−	0.302905i
$125$	22.6340	−	5.16605i	2.02444	−	0.462066i
$126$	1.18305	−	3.54970i	0.105394	−	0.316233i
$127$	2.58261	+	0.589464i	0.229170	+	0.0523065i	0.335564	−	0.942018i	$-0.391073\pi$
$127$	2.58261	+	0.589464i	0.229170	+	0.0523065i	−0.106394	+	0.994324i	$0.533930\pi$
$128$	−5.92666	−	9.63715i	−0.523847	−	0.851812i
$129$			1.72535i			0.151909i
$130$	28.2824	−	8.84695i	2.48053	−	0.775929i
$131$	−7.70866	+	3.71230i	−0.673509	+	0.324345i	−0.739191	−	0.673496i	$-0.764792\pi$
$131$	−7.70866	+	3.71230i	−0.673509	+	0.324345i	0.0656822	+	0.997841i	$0.479078\pi$
$132$	−0.108464	−	0.682813i	−0.00944054	−	0.0594313i
$133$	−8.36277	−	9.50557i	−0.725144	−	0.824238i
$134$	−2.00280	+	13.6550i	−0.173016	+	1.17961i
$135$	3.87947	+	0.885463i	0.333891	+	0.0762085i
$136$	14.1521	+	11.0131i	1.21354	+	0.944362i
$137$	20.5246	−	9.88414i	1.75354	−	0.844459i	0.776881	−	0.629647i	$-0.216801\pi$
$137$	20.5246	−	9.88414i	1.75354	−	0.844459i	0.976656	−	0.214811i	$-0.0689137\pi$
$138$	10.9348	+	4.24161i	0.930829	+	0.361070i
$139$	13.1270	+	6.32161i	1.11341	+	0.536192i	0.897851	−	0.440298i	$-0.145127\pi$
$139$	13.1270	+	6.32161i	1.11341	+	0.536192i	0.215562	+	0.976490i	$0.430842\pi$
$140$	−21.0525	−	0.390309i	−1.77926	−	0.0329871i
$141$	−1.82234	+	0.877595i	−0.153469	+	0.0739068i
$142$	19.9040	−	1.57100i	1.67030	−	0.131836i
$143$	0.405067	+	1.77471i	0.0338734	+	0.148409i
$144$	0.362160	+	3.98357i	0.0301800	+	0.331964i
$145$	−6.70259	−	5.34514i	−0.556620	−	0.443890i
$146$	6.85671	−	3.99507i	0.567466	−	0.330634i
$147$	3.81588	−	5.86848i	0.314728	−	0.484024i
$148$	−4.27121	+	7.53536i	−0.351091	+	0.619403i
$149$	−13.4569	+	16.8744i	−1.10243	+	1.38241i	−0.185840	+	0.982580i	$0.559501\pi$
$149$	−13.4569	+	16.8744i	−1.10243	+	1.38241i	−0.916591	+	0.399825i	$0.869071\pi$
$150$	−1.20560	−	15.2745i	−0.0984372	−	1.24716i
$151$	−1.36341	+	0.311190i	−0.110953	+	0.0253243i	−0.277637	−	0.960686i	$-0.589551\pi$
$151$	−1.36341	+	0.311190i	−0.110953	+	0.0253243i	0.166684	+	0.986010i	$0.446694\pi$
$152$	12.2634	+	5.72702i	0.994696	+	0.464523i
$153$	−2.75085	−	5.71219i	−0.222393	−	0.461803i
$154$	0.125658	−	1.28732i	0.0101258	−	0.103736i
$155$	10.1397	−	21.0554i	0.814443	−	1.69121i
$156$	−1.65224	−	10.4014i	−0.132285	−	0.832778i
$157$	5.83034	+	12.1068i	0.465312	+	0.966230i	0.993146	+	0.116882i	$0.0372900\pi$
$157$	5.83034	+	12.1068i	0.465312	+	0.966230i	−0.527834	+	0.849347i	$0.676996\pi$
$158$	−1.34387	+	9.16242i	−0.106913	+	0.728923i
$159$	2.60542	−	11.4151i	0.206623	−	0.905276i
$160$	20.7867	−	8.63769i	1.64333	−	0.682869i
$161$	17.7960	+	12.8360i	1.40252	+	1.01162i
$162$	0.511445	−	1.31849i	0.0401829	−	0.103591i
$163$	2.87425	+	5.96844i	0.225128	+	0.467484i	0.982685	−	0.185286i	$-0.0593211\pi$
$163$	2.87425	+	5.96844i	0.225128	+	0.467484i	−0.757556	+	0.652770i	$0.773607\pi$
$164$	−0.442751	+	0.484829i	−0.0345730	+	0.0378588i
$165$	1.37557			0.107088
$166$	−3.97447	−	6.82137i	−0.308479	−	0.529441i
$167$	−0.938344	+	4.11115i	−0.0726112	+	0.318131i	−0.998170	−	0.0604739i	$-0.980739\pi$
$167$	−0.938344	+	4.11115i	−0.0726112	+	0.318131i	0.925559	+	0.378605i	$0.123596\pi$
$168$	−1.22303	+	7.38270i	−0.0943591	+	0.569587i
$169$	3.27767	+	14.3604i	0.252128	+	1.10465i
$170$	−26.0578	+	24.3711i	−1.99854	+	1.86918i
$171$	−2.98357	−	3.74128i	−0.228159	−	0.286103i
$172$	−0.541350	−	3.40797i	−0.0412775	−	0.259855i
$173$	16.1267	−	3.68082i	1.22609	−	0.279848i	0.440024	−	0.897986i	$-0.354970\pi$
$173$	16.1267	−	3.68082i	1.22609	−	0.279848i	0.786069	+	0.618138i	$0.212113\pi$
$174$	−2.22523	+	2.08120i	−0.168694	+	0.157775i
$175$	5.02097	−	28.2217i	0.379550	−	2.13336i
$176$	0.428482	+	1.31468i	0.0322980	+	0.0990981i
$177$	3.32089			0.249613
$178$	−4.27060	+	2.48826i	−0.320095	+	0.186503i
$179$	−6.29511	−	1.43682i	−0.470518	−	0.107393i	−0.0193141	−	0.999813i	$-0.506148\pi$
$179$	−6.29511	−	1.43682i	−0.470518	−	0.107393i	−0.451204	+	0.892421i	$0.649005\pi$
$180$	−7.94068	−	0.531767i	−0.591863	−	0.0396356i
$181$	15.8663	−	12.6529i	1.17933	−	0.940486i	0.180263	−	0.983619i	$-0.442305\pi$
$181$	15.8663	−	12.6529i	1.17933	−	0.940486i	0.999069	+	0.0431326i	$0.0137338\pi$
$182$	1.91417	−	19.6100i	0.141888	−	1.45359i
$183$	4.08587	+	3.25838i	0.302036	+	0.240866i
$184$	−22.9296	−	4.94726i	−1.69039	−	0.364717i
$185$	−13.4736	−	10.7449i	−0.990602	−	0.789979i
$186$	−6.88087	−	4.65143i	−0.504530	−	0.341060i
$187$	−1.36649	−	1.71352i	−0.0999274	−	0.125305i
$188$	3.32420	−	2.30524i	0.242442	−	0.168127i
$189$	1.54774	−	2.14581i	0.112581	−	0.156085i
$190$	−15.0813	+	22.3098i	−1.09411	+	1.61852i
$191$	2.38578	−	4.95412i	0.172629	−	0.358468i	−0.796647	−	0.604445i	$-0.793395\pi$
$191$	2.38578	−	4.95412i	0.172629	−	0.358468i	0.969275	+	0.245978i	$0.0791090\pi$
$192$	−1.96525	−	7.75486i	−0.141829	−	0.559659i
$193$	−7.48927	−	3.60664i	−0.539089	−	0.259612i	0.144467	−	0.989510i	$-0.453853\pi$
$193$	−7.48927	−	3.60664i	−0.539089	−	0.259612i	−0.683556	+	0.729898i	$0.739568\pi$
$194$	0.120675	−	0.822758i	0.00866400	−	0.0590706i
$195$	20.9542			1.50056
$196$	−5.69595	+	12.7889i	−0.406853	+	0.913494i
$197$	−5.32414			−0.379329			−0.189665	−	0.981849i	$-0.560740\pi$
$197$	−5.32414			−0.379329			−0.189665	+	0.981849i	$0.560740\pi$
$198$	0.0709452	−	0.483700i	0.00504186	−	0.0343751i
$199$	−9.89297	−	4.76421i	−0.701294	−	0.337726i	0.0490283	−	0.998797i	$-0.484388\pi$
$199$	−9.89297	−	4.76421i	−0.701294	−	0.337726i	−0.750323	+	0.661072i	$0.770102\pi$
$200$	7.17392	+	29.7925i	0.507272	+	2.10665i
$201$	−4.23420	+	8.79241i	−0.298657	+	0.620169i
$202$	−3.34594	+	4.94965i	−0.235419	+	0.348256i
$203$	−5.01010	+	2.71838i	−0.351640	+	0.190793i
$204$	7.22584	+	10.4198i	0.505910	+	0.729533i
$205$	−0.814482	−	1.02133i	−0.0568859	−	0.0713326i
$206$	11.2513	+	7.60578i	0.783912	+	0.529920i
$207$	6.48403	+	5.17084i	0.450671	+	0.359398i
$208$	6.52713	+	20.0268i	0.452575	+	1.38861i
$209$	−1.29331	−	1.03138i	−0.0894602	−	0.0713421i
$210$	−14.1251	−	4.70762i	−0.974725	−	0.324857i
$211$	−5.52743	+	4.40798i	−0.380524	+	0.303458i	−0.795008	−	0.606599i	$-0.792533\pi$
$211$	−5.52743	+	4.40798i	−0.380524	+	0.303458i	0.414484	+	0.910057i	$0.363962\pi$
$212$	−1.56469	+	23.3650i	−0.107464	+	1.60471i
$213$	13.7640	+	3.14155i	0.943096	+	0.215255i
$214$	−8.90010	+	5.18565i	−0.608398	+	0.354483i
$215$	6.86557			0.468228
$216$	−0.596531	+	2.76481i	−0.0405888	+	0.188121i
$217$	−10.2635	−	11.6661i	−0.696735	−	0.791946i
$218$	4.09461	−	3.82957i	0.277322	−	0.259371i
$219$	5.47069	−	1.24865i	0.369675	−	0.0843758i
$220$	−2.71707	+	0.431602i	−0.183185	+	0.0290986i
$221$	−20.8159	−	26.1023i	−1.40023	−	1.75583i
$222$	−4.47319	+	4.18365i	−0.300221	+	0.280788i
$223$	4.08108	+	17.8804i	0.273289	+	1.19736i	0.906104	+	0.423055i	$0.139042\pi$
$223$	4.08108	+	17.8804i	0.273289	+	1.19736i	−0.632815	+	0.774303i	$0.718101\pi$
$224$	0.0993679	−	14.9663i	0.00663930	−	0.999978i
$225$	2.41086	−	10.5627i	0.160724	−	0.704177i
$226$	−4.03665	−	6.92807i	−0.268514	−	0.460849i
$227$	2.58979			0.171891			0.0859453	−	0.996300i	$-0.472609\pi$
$227$	2.58979			0.171891			0.0859453	+	0.996300i	$0.472609\pi$
$228$	7.06712	+	6.45377i	0.468032	+	0.427411i
$229$	7.73489	+	16.0617i	0.511136	+	1.06139i	0.983655	+	0.180065i	$0.0576307\pi$
$229$	7.73489	+	16.0617i	0.511136	+	1.06139i	−0.472519	+	0.881321i	$0.656655\pi$
$230$	16.8784	−	43.5120i	1.11293	−	2.86910i
$231$	0.356558	−	0.842237i	0.0234598	−	0.0554151i
$232$	3.74236	−	4.80905i	0.245698	−	0.315730i
$233$	4.36457	−	19.1224i	0.285933	−	1.25275i	−0.604120	−	0.796894i	$-0.706475\pi$
$233$	4.36457	−	19.1224i	0.285933	−	1.25275i	0.890052	−	0.455859i	$-0.150668\pi$
$234$	1.08072	−	7.36827i	0.0706488	−	0.481679i
$235$	3.49215	+	7.25153i	0.227803	+	0.473038i
$236$	−6.55954	+	1.04197i	−0.426990	+	0.0678265i
$237$	−2.84113	+	5.89966i	−0.184551	+	0.383224i
$238$	8.16765	+	22.2719i	0.529430	+	1.44367i
$239$	7.80463	+	16.2065i	0.504840	+	1.04831i	0.985227	+	0.171254i	$0.0547818\pi$
$239$	7.80463	+	16.2065i	0.504840	+	1.04831i	−0.480387	+	0.877057i	$0.659504\pi$
$240$	15.8516	−	1.44112i	1.02321	−	0.0930239i
$241$	−4.75615	+	1.08556i	−0.306371	+	0.0699272i	−0.372942	−	0.927855i	$-0.621651\pi$
$241$	−4.75615	+	1.08556i	−0.306371	+	0.0699272i	0.0665715	+	0.997782i	$0.478794\pi$
$242$	1.21075	+	15.3396i	0.0778297	+	0.986070i
$243$	0.623490	−	0.781831i	0.0399969	−	0.0501545i
$244$	−9.09292	−	5.15407i	−0.582114	−	0.329955i
$245$	−23.3521	−	15.1843i	−1.49191	−	0.970087i
$246$	−0.401143	+	0.233726i	−0.0255759	+	0.0149018i
$247$	−19.7012	−	15.7112i	−1.25356	−	0.999678i
$248$	15.0508	+	7.02871i	0.955726	+	0.446324i
$249$	−1.24221	−	5.44249i	−0.0787220	−	0.344904i
$250$	−32.7306	+	2.58340i	−2.07007	+	0.163389i
$251$	−12.9777	+	6.24973i	−0.819144	+	0.394479i	−0.796033	−	0.605254i	$-0.793072\pi$
$251$	−12.9777	+	6.24973i	−0.819144	+	0.394479i	−0.0231118	+	0.999733i	$0.507357\pi$
$252$	−2.38388	+	4.72410i	−0.150170	+	0.297590i
$253$	2.58300	+	1.24391i	0.162392	+	0.0782038i
$254$	−3.49273	−	1.35483i	−0.219153	−	0.0850098i
$255$	−22.7302	+	10.9463i	−1.42342	+	0.685482i
$256$	6.31500	+	14.7010i	0.394688	+	0.918815i
$257$	25.4740	+	5.81428i	1.58903	+	0.362685i	0.923473	−	0.383664i	$-0.125338\pi$
$257$	25.4740	+	5.81428i	1.58903	+	0.362685i	0.665554	+	0.746349i	$0.268195\pi$
$258$	0.354093	−	2.41418i	0.0220449	−	0.150300i
$259$	−10.0714	+	5.46453i	−0.625804	+	0.339549i
$260$	−41.3896	+	6.57465i	−2.56687	+	0.407742i
$261$	−1.94106	+	0.934768i	−0.120149	+	0.0578607i
$262$	11.5482	−	3.61236i	0.713448	−	0.223172i
$263$			16.1345i			0.994897i	0.867493	+	0.497449i	$0.165730\pi$
$263$			16.1345i			0.994897i	−0.867493	+	0.497449i	$0.834270\pi$
$264$	0.0116333	+	0.977681i	0.000715980	+	0.0601721i
$265$	−45.4234	−	10.3676i	−2.79033	−	0.636876i
$266$	9.75072	+	15.0169i	0.597855	+	0.920745i
$267$	−3.40733	+	0.777701i	−0.208525	+	0.0475945i
$268$	5.60482	−	18.6956i	0.342369	−	1.14202i
$269$	1.74798	−	1.39397i	0.106576	−	0.0849916i	−0.568752	−	0.822509i	$-0.692574\pi$
$269$	1.74798	−	1.39397i	0.106576	−	0.0849916i	0.675328	+	0.737518i	$0.264002\pi$
$270$	−5.24659	−	2.03516i	−0.319297	−	0.123856i
$271$	3.80605	+	16.6754i	0.231201	+	1.01296i	0.948645	+	0.316342i	$0.102455\pi$
$271$	3.80605	+	16.6754i	0.231201	+	1.01296i	−0.717444	+	0.696616i	$0.754688\pi$
$272$	−17.5421	−	18.3144i	−1.06364	−	1.11047i
$273$	5.43150	−	12.8299i	0.328729	−	0.776502i
$274$	−30.7474	+	9.61805i	−1.85752	+	0.581047i
$275$		−	3.74528i		−	0.225849i
$276$	−14.4299	−	8.17918i	−0.868577	−	0.492329i
$277$	−4.98991	+	21.8622i	−0.299814	+	1.31357i	0.570590	+	0.821235i	$0.306715\pi$
$277$	−4.98991	+	21.8622i	−0.299814	+	1.31357i	−0.870404	+	0.492338i	$0.836143\pi$
$278$	−17.0704	−	11.5395i	−1.02382	−	0.692093i
$279$	−3.66170	−	4.59163i	−0.219220	−	0.274894i
$280$	29.3775	+	4.86674i	1.75564	+	0.290843i
$281$	−10.3347	+	12.9593i	−0.616518	+	0.773089i	−0.987850	−	0.155411i	$-0.950330\pi$
$281$	−10.3347	+	12.9593i	−0.616518	+	0.773089i	0.371332	+	0.928500i	$0.378901\pi$
$282$	2.73001	−	0.853969i	0.162570	−	0.0508531i
$283$	1.47139	−	1.84506i	0.0874649	−	0.109677i	−0.736173	−	0.676793i	$-0.763369\pi$
$283$	1.47139	−	1.84506i	0.0874649	−	0.109677i	0.823638	+	0.567115i	$0.191941\pi$
$284$	−28.1729	−	1.88667i	−1.67175	−	0.111953i
$285$	−14.8874	+	11.8723i	−0.881854	+	0.703255i
$286$	−0.202563	−	2.56639i	−0.0119778	−	0.151754i
$287$	−0.836461	+	0.233957i	−0.0493747	+	0.0138101i
$288$	0.310797	−	5.64831i	0.0183139	−	0.332830i
$289$	20.8992	+	10.0645i	1.22936	+	0.592030i
$290$	8.28157	+	8.85472i	0.486311	+	0.519967i
$291$	0.255125	−	0.529772i	0.0149557	−	0.0310558i
$292$	−10.4141	+	4.18287i	−0.609440	+	0.244784i
$293$			0.918750i			0.0536739i	0.999640	+	0.0268370i	$0.00854350\pi$
$293$			0.918750i			0.0536739i	−0.999640	+	0.0268370i	$0.991457\pi$
$294$	−6.54373	+	7.42830i	−0.381638	+	0.433227i
$295$		−	13.2146i		−	0.769384i
$296$	7.52293	−	9.66722i	0.437262	−	0.561896i
$297$	0.149988	−	0.311453i	0.00870319	−	0.0180724i
$298$	22.2926	−	20.8496i	1.29137	−	1.20779i
$299$	39.3472	+	18.9486i	2.27551	+	1.09583i
$300$	−1.44785	+	21.6202i	−0.0835915	+	1.24824i
$301$	1.77961	−	4.20367i	0.102575	−	0.242295i
$302$	1.97161	−	0.155618i	0.113453	−	0.00895478i
$303$	−3.30292	+	2.63399i	−0.189748	+	0.151319i
$304$	−15.9842	−	10.5303i	−0.916755	−	0.603955i
$305$	12.9658	−	16.2586i	0.742422	−	0.930967i
$306$	2.67679	+	8.55730i	0.153022	+	0.489188i
$307$	−12.4580	+	15.6218i	−0.711014	+	0.891583i	−0.997792	−	0.0664136i	$-0.978844\pi$
$307$	−12.4580	+	15.6218i	−0.711014	+	0.891583i	0.286778	+	0.957997i	$0.407416\pi$
$308$	−0.440023	+	1.77549i	−0.0250727	+	0.101168i
$309$	5.98743	+	7.50800i	0.340613	+	0.427115i
$310$	−18.5091	+	27.3806i	−1.05125	+	1.55511i
$311$	1.22807	−	5.38052i	0.0696374	−	0.305101i	−0.928100	−	0.372331i	$-0.878559\pi$
$311$	1.22807	−	5.38052i	0.0696374	−	0.305101i	0.997738	+	0.0672293i	$0.0214159\pi$
$312$	0.177212	+	14.8932i	0.0100326	+	0.843159i
$313$		−	6.53125i		−	0.369168i	−0.982817	−	0.184584i	$-0.940906\pi$
$313$		−	6.53125i		−	0.369168i	0.982817	−	0.184584i	$-0.0590938\pi$
$314$	−5.67338	−	18.1369i	−0.320167	−	1.02353i
$315$	−8.53868	−	6.15882i	−0.481100	−	0.347010i
$316$	3.76080	−	12.5446i	0.211562	−	0.705692i
$317$	1.75883	+	7.70595i	0.0987859	+	0.432809i	1.00000		0.000565145i	$-0.000179891\pi$
$317$	1.75883	+	7.70595i	0.0987859	+	0.432809i	−0.901214	+	0.433374i	$0.857323\pi$
$318$	−5.98834	+	15.4378i	−0.335809	+	0.865708i
$319$	−0.582273	+	0.464347i	−0.0326010	+	0.0259984i
$320$	−30.8584	+	7.82017i	−1.72504	+	0.437161i
$321$	−7.10102	+	1.62076i	−0.396340	+	0.0904621i
$322$	−22.2666	−	21.6130i	−1.24087	−	1.20444i
$323$	29.5782	+	6.75104i	1.64578	+	0.375638i
$324$	−0.986230	+	1.73993i	−0.0547905	+	0.0966627i
$325$		−	57.0523i		−	3.16469i
$326$	−2.79687	−	8.94117i	−0.154904	−	0.495206i
$327$	3.57172	−	1.72005i	0.197516	−	0.0951189i
$328$	0.719017	−	0.587528i	0.0397011	−	0.0324408i
$329$	5.34518	−	0.258534i	0.294689	−	0.0142534i
$330$	−1.92476	−	0.282308i	−0.105954	−	0.0155405i
$331$	15.0558	+	3.43638i	0.827539	+	0.188880i	0.615256	−	0.788328i	$-0.289053\pi$
$331$	15.0558	+	3.43638i	0.827539	+	0.188880i	0.212283	+	0.977208i	$0.431910\pi$
$332$	4.16131	+	10.3604i	0.228381	+	0.568602i
$333$	−3.90196	+	1.87908i	−0.213826	+	0.102973i
$334$	2.15670	−	5.55993i	0.118009	−	0.304226i
$335$	34.9870	+	16.8489i	1.91155	+	0.920552i
$336$	3.22647	−	10.0792i	0.176018	−	0.549864i
$337$	15.7357	−	7.57793i	0.857181	−	0.412796i	0.0469427	−	0.998898i	$-0.485052\pi$
$337$	15.7357	−	7.57793i	0.857181	−	0.412796i	0.810238	+	0.586101i	$0.199338\pi$
$338$	−1.63907	−	20.7664i	−0.0891538	−	1.12954i
$339$	−1.26164	−	5.52762i	−0.0685231	−	0.300219i
$340$	41.4629	−	28.7533i	2.24864	−	1.55937i
$341$	−1.58727	−	1.26580i	−0.0859553	−	0.0685471i
$342$	3.40692	+	5.84727i	0.184225	+	0.316184i
$343$	−15.3501	+	10.3622i	−0.828827	+	0.559505i
$344$	0.0580627	+	4.87968i	0.00313053	+	0.263095i
$345$	20.5760	−	25.8015i	1.10777	−	1.38910i
$346$	−23.3206	+	1.84068i	−1.25373	+	0.0989555i
$347$	2.68952	−	0.613866i	0.144381	−	0.0329540i	−0.149720	−	0.988729i	$-0.547837\pi$
$347$	2.68952	−	0.613866i	0.144381	−	0.0329540i	0.294101	+	0.955774i	$0.404980\pi$
$348$	3.54076	−	2.45542i	0.189805	−	0.131624i
$349$	8.54810	+	17.7503i	0.457569	+	0.950153i	0.994322	+	0.106413i	$0.0339365\pi$
$349$	8.54810	+	17.7503i	0.457569	+	0.950153i	−0.536753	+	0.843740i	$0.680349\pi$
$350$	−12.8175	+	38.4585i	−0.685123	+	2.05570i
$351$	2.28479	−	4.74441i	0.121953	−	0.253238i
$352$	−0.329738	−	1.92750i	−0.0175751	−	0.102736i
$353$	13.7871	+	28.6292i	0.733813	+	1.52378i	0.847812	+	0.530297i	$0.177920\pi$
$353$	13.7871	+	28.6292i	0.733813	+	1.52378i	−0.113999	+	0.993481i	$0.536366\pi$
$354$	−4.64673	−	0.681546i	−0.246971	−	0.0362237i
$355$	12.5010	−	54.7703i	0.663482	−	2.90691i
$356$	6.48627	−	2.60523i	0.343771	−	0.138077i
$357$	0.810382	+	16.7546i	0.0428899	+	0.886749i
$358$	8.51351	+	3.30240i	0.449953	+	0.174537i
$359$	8.21970	+	17.0684i	0.433819	+	0.900834i	0.997210	+	0.0746441i	$0.0237821\pi$
$359$	8.21970	+	17.0684i	0.433819	+	0.900834i	−0.563391	+	0.826190i	$0.690504\pi$
$360$	11.0018	+	2.37373i	0.579846	+	0.125107i
$361$	3.89884			0.205202
$362$	−24.7976	+	14.4483i	−1.30333	+	0.759386i
$363$	−2.42114	+	10.6077i	−0.127077	+	0.556760i
$364$	−6.70294	+	27.0463i	−0.351329	+	1.41761i
$365$	−4.96866	−	21.7691i	−0.260072	−	1.13945i
$366$	−5.04841	−	5.39780i	−0.263885	−	0.282148i
$367$	17.7979	+	22.3178i	0.929042	+	1.16498i	0.986023	+	0.166607i	$0.0532811\pi$
$367$	17.7979	+	22.3178i	0.929042	+	1.16498i	−0.0569811	+	0.998375i	$0.518147\pi$
$368$	31.0687	+	11.6282i	1.61957	+	0.606164i
$369$	−0.320055	+	0.0730505i	−0.0166614	+	0.00380286i
$370$	16.6477	+	17.7999i	0.865474	+	0.925372i
$371$	−18.1220	+	25.1246i	−0.940845	+	1.30440i
$372$	8.67340	+	7.92064i	0.449695	+	0.410666i
$373$	−16.1299			−0.835174			−0.417587	−	0.908637i	$-0.637124\pi$
$373$	−16.1299			−0.835174			−0.417587	+	0.908637i	$0.637124\pi$
$374$	1.56038	+	2.67808i	0.0806854	+	0.138480i
$375$	−22.6340	−	5.16605i	−1.16881	−	0.266774i
$376$	−5.12447	+	2.54336i	−0.264274	+	0.131164i
$377$	−8.86984	+	7.07346i	−0.456820	+	0.364302i
$378$	−2.60605	+	2.68487i	−0.134041	+	0.138095i
$379$	13.0011	+	10.3680i	0.667821	+	0.532569i	0.897676	−	0.440655i	$-0.145254\pi$
$379$	13.0011	+	10.3680i	0.667821	+	0.532569i	−0.229855	+	0.973225i	$0.573825\pi$
$380$	25.6811	−	28.1217i	1.31741	−	1.44261i
$381$	−2.07109	−	1.65164i	−0.106105	−	0.0846162i
$382$	−4.35502	+	6.44239i	−0.222822	+	0.329621i
$383$	−14.3040	−	17.9366i	−0.730900	−	0.916519i	0.268000	−	0.963419i	$-0.413637\pi$
$383$	−14.3040	−	17.9366i	−0.730900	−	0.916519i	−0.998900	+	0.0468997i	$0.985066\pi$
$384$	1.15833	+	11.2543i	0.0591108	+	0.574316i
$385$	−3.35146	−	1.41883i	−0.170806	−	0.0723101i
$386$	9.73911	+	6.58359i	0.495708	+	0.335096i
$387$	0.748601	−	1.55449i	0.0380535	−	0.0790190i
$388$	−0.337709	+	1.12647i	−0.0171446	+	0.0571879i
$389$	21.7424	+	10.4706i	1.10238	+	0.530880i	0.894407	−	0.447254i	$-0.147598\pi$
$389$	21.7424	+	10.4706i	1.10238	+	0.530880i	0.207976	+	0.978134i	$0.433312\pi$
$390$	−29.3201	−	4.30043i	−1.48468	−	0.217761i
$391$	−52.5805			−2.65911
$392$	10.5947	−	16.7258i	0.535112	−	0.844781i
$393$	8.55597			0.431591
$394$	7.44977	+	1.09267i	0.375314	+	0.0550480i
$395$	23.4761	+	11.3055i	1.18121	+	0.568842i
$396$	−0.198539	+	0.662254i	−0.00997697	+	0.0332795i
$397$	6.88721	−	14.3014i	0.345659	−	0.717769i	−0.653576	−	0.756860i	$-0.726732\pi$
$397$	6.88721	−	14.3014i	0.345659	−	0.717769i	0.999236	+	0.0390919i	$0.0124465\pi$
$398$	12.8649	+	8.69661i	0.644860	+	0.435922i
$399$	3.41028	+	12.1927i	0.170728	+	0.610398i
$400$	−3.92375	−	43.1592i	−0.196188	−	2.15796i
$401$	−12.9884	−	16.2870i	−0.648610	−	0.813332i	0.343440	−	0.939175i	$-0.388408\pi$
$401$	−12.9884	−	16.2870i	−0.648610	−	0.813332i	−0.992050	+	0.125843i	$0.959836\pi$
$402$	7.72914	−	11.4337i	0.385494	−	0.570263i
$403$	−24.1791	−	19.2822i	−1.20444	−	0.960513i
$404$	5.69759	−	6.23908i	0.283466	−	0.310406i
$405$	−3.11109	−	2.48101i	−0.154591	−	0.123282i
$406$	7.56824	−	2.77545i	0.375605	−	0.137743i
$407$	−1.17049	+	0.933437i	−0.0580192	+	0.0462687i
$408$	−7.97225	−	16.0628i	−0.394685	−	0.795227i
$409$	26.1604	+	5.97094i	1.29355	+	0.295244i	0.813277	−	0.581876i	$-0.197681\pi$
$409$	26.1604	+	5.97094i	1.29355	+	0.295244i	0.480271	+	0.877120i	$0.340538\pi$
$410$	0.930051	+	1.59624i	0.0459319	+	0.0788327i
$411$	−22.7806			−1.12368
$412$	−14.1823	−	12.9514i	−0.698712	−	0.638071i
$413$	−8.09107	−	3.42532i	−0.398136	−	0.168549i
$414$	−8.01152	−	8.56598i	−0.393745	−	0.420995i
$415$	−21.6569	+	4.94305i	−1.06310	+	0.242645i
$416$	−5.02295	−	29.3619i	−0.246270	−	1.43958i
$417$	−9.08413	−	11.3911i	−0.444852	−	0.557827i
$418$	1.59799	+	1.70858i	0.0781601	+	0.0835693i
$419$	0.0400575	+	0.175503i	0.00195694	+	0.00857389i	0.975897	−	0.218232i	$-0.0700289\pi$
$419$	0.0400575	+	0.175503i	0.00195694	+	0.00857389i	−0.973940	+	0.226806i	$0.927172\pi$
$420$	18.7983	+	9.48600i	0.917263	+	0.462869i
$421$	−0.768503	+	3.36703i	−0.0374546	+	0.164099i	−0.990196	−	0.139682i	$-0.955392\pi$
$421$	−0.768503	+	3.36703i	−0.0374546	+	0.164099i	0.952742	+	0.303781i	$0.0982491\pi$
$422$	8.63887	−	5.03344i	0.420533	−	0.245024i
$423$	2.02265			0.0983446
$424$	6.98458	−	32.3722i	0.339201	−	1.57213i
$425$	29.8035	+	61.8876i	1.44568	+	3.00199i
$426$	−18.6145	−	7.22058i	−0.901875	−	0.349838i
$427$	−6.59404	−	12.1531i	−0.319108	−	0.588131i
$428$	13.5176	−	5.42942i	0.653400	−	0.262441i
$429$	0.405067	−	1.77471i	0.0195568	−	0.0856840i
$430$	−9.60660	−	1.40902i	−0.463271	−	0.0679489i
$431$	−3.90879	−	8.11670i	−0.188280	−	0.390967i	0.785366	−	0.619032i	$-0.212475\pi$
$431$	−3.90879	−	8.11670i	−0.188280	−	0.390967i	−0.973646	+	0.228064i	$0.926760\pi$
$432$	1.40211	−	3.74621i	0.0674591	−	0.180240i
$433$	−13.5638	+	28.1655i	−0.651834	+	1.35355i	0.268829	+	0.963188i	$0.413363\pi$
$433$	−13.5638	+	28.1655i	−0.651834	+	1.35355i	−0.920663	+	0.390359i	$0.872351\pi$
$434$	11.9670	+	18.4301i	0.574432	+	0.884672i
$435$	3.71966	+	7.72395i	0.178344	+	0.370335i
$436$	−6.51529	+	4.51817i	−0.312026	+	0.216381i
$437$	−38.6911	+	8.83099i	−1.85085	+	0.422443i
$438$	−7.91108	+	0.624415i	−0.378006	+	0.0298357i
$439$	15.0884	−	18.9203i	0.720132	−	0.903017i	−0.278213	−	0.960519i	$-0.589742\pi$
$439$	15.0884	−	18.9203i	0.720132	−	0.903017i	0.998345	+	0.0575019i	$0.0183135\pi$
$440$	3.89042	−	0.0462916i	0.185469	−	0.00220687i
$441$	−5.98423	+	3.63167i	−0.284963	+	0.172937i
$442$	23.7695	+	40.7955i	1.13060	+	1.94044i
$443$	12.1444	+	9.68482i	0.576997	+	0.460140i	0.867987	−	0.496586i	$-0.165413\pi$
$443$	12.1444	+	9.68482i	0.576997	+	0.460140i	−0.290991	+	0.956726i	$0.593985\pi$
$444$	7.11769	−	4.93592i	0.337791	−	0.234248i
$445$	3.09465	+	13.5586i	0.146701	+	0.642738i
$446$	−2.04084	−	25.8565i	−0.0966364	−	1.22434i
$447$	19.4458	−	9.36459i	0.919753	−	0.442930i
$448$	−3.21057	+	20.9211i	−0.151685	+	0.988429i
$449$	−13.1881	−	6.35106i	−0.622386	−	0.299725i	0.0959880	−	0.995382i	$-0.469399\pi$
$449$	−13.1881	−	6.35106i	−0.622386	−	0.299725i	−0.718374	+	0.695657i	$0.755113\pi$
$450$	−5.54115	+	14.2849i	−0.261212	+	0.673399i
$451$	−0.102246	+	0.0492390i	−0.00481457	+	0.00231857i
$452$	4.22640	+	10.5225i	0.198793	+	0.494937i
$453$	1.36341	+	0.311190i	0.0640586	+	0.0146210i
$454$	−3.62375	−	0.531502i	−0.170071	−	0.0249446i
$455$	−51.0532	−	21.6132i	−2.39341	−	1.01324i
$456$	−8.56411	−	10.4808i	−0.401051	−	0.490807i
$457$	−16.6237	+	8.00557i	−0.777626	+	0.374485i	−0.780215	−	0.625512i	$-0.784890\pi$
$457$	−16.6237	+	8.00557i	−0.777626	+	0.374485i	0.00258885	+	0.999997i	$0.499176\pi$
$458$	−7.52666	−	24.0616i	−0.351698	−	1.12433i
$459$			6.34006i			0.295929i
$460$	−32.5469	+	57.4199i	−1.51751	+	2.67722i
$461$	−5.93440	−	1.35449i	−0.276393	−	0.0630848i	0.0820778	−	0.996626i	$-0.473844\pi$
$461$	−5.93440	−	1.35449i	−0.276393	−	0.0630848i	−0.358470	+	0.933541i	$0.616702\pi$
$462$	−0.671763	+	1.10532i	−0.0312532	+	0.0514240i
$463$	37.0055	−	8.44627i	1.71979	−	0.392532i	0.755038	−	0.655681i	$-0.227618\pi$
$463$	37.0055	−	8.44627i	1.71979	−	0.392532i	0.964755	+	0.263149i	$0.0847612\pi$
$464$	−6.22342	+	5.96099i	−0.288915	+	0.276732i
$465$	−18.2712	+	14.5708i	−0.847305	+	0.675703i
$466$	−10.0316	+	25.8612i	−0.464704	+	1.19800i
$467$	−6.30784	−	27.6365i	−0.291892	−	1.27886i	−0.881889	−	0.471457i	$-0.843728\pi$
$467$	−6.30784	−	27.6365i	−0.291892	−	1.27886i	0.589997	−	0.807406i	$-0.299129\pi$
$468$	−3.02438	+	10.0882i	−0.139802	+	0.466328i
$469$	19.3852	−	17.0546i	0.895124	−	0.787508i
$470$	−3.39814	−	10.8634i	−0.156745	−	0.501089i
$471$		−	13.4376i		−	0.619170i
$472$	9.39223	−	0.111757i	0.432313	−	0.00514403i
$473$	0.132718	−	0.581477i	0.00610240	−	0.0267364i
$474$	5.18621	−	7.67197i	0.238211	−	0.352385i
$475$	32.3249	+	40.5341i	1.48317	+	1.85983i
$476$	−6.85766	−	32.8401i	−0.314320	−	1.50522i
$477$	−7.30023	+	9.15420i	−0.334255	+	0.419142i
$478$	−7.59452	−	24.2786i	−0.347365	−	1.11048i
$479$	5.31028	−	6.65888i	0.242633	−	0.304252i	−0.645572	−	0.763699i	$-0.723381\pi$
$479$	5.31028	−	6.65888i	0.242633	−	0.304252i	0.888205	+	0.459447i	$0.151952\pi$
$480$	−22.4759	−	1.23673i	−1.02588	−	0.0564489i
$481$	−17.8303	+	14.2192i	−0.812991	+	0.648339i
$482$	6.87781	−	0.542860i	0.313275	−	0.0247266i
$483$	−10.4643	−	19.2862i	−0.476144	−	0.877554i
$484$	1.45402	−	21.7124i	0.0660919	−	0.986926i
$485$	−2.10808	−	1.01520i	−0.0957232	−	0.0460979i
$486$	−1.03287	+	0.966014i	−0.0468519	+	0.0438193i
$487$	0.00748534	−	0.0155435i	0.000339193	−	0.000704342i	−0.900799	−	0.434236i	$-0.857018\pi$
$487$	0.00748534	−	0.0155435i	0.000339193	−	0.000704342i	0.901138	+	0.433532i	$0.142733\pi$
$488$	11.6654	+	9.07793i	0.528069	+	0.410938i
$489$		−	6.62447i		−	0.299569i
$490$	29.5589	+	26.0390i	1.33534	+	1.17632i
$491$			23.0765i			1.04143i	0.853731	+	0.520714i	$0.174334\pi$
$491$			23.0765i			1.04143i	−0.853731	+	0.520714i	$0.825666\pi$
$492$	0.609264	−	0.244713i	0.0274677	−	0.0110325i
$493$	5.92648	−	12.3065i	0.266915	−	0.554255i
$494$	24.3424	+	26.0270i	1.09521	+	1.17101i
$495$	−1.23935	−	0.596837i	−0.0557044	−	0.0268258i
$496$	−19.6172	−	12.9237i	−0.880839	−	0.580293i
$497$	−30.2945	−	21.8510i	−1.35890	−	0.980151i
$498$	0.621197	+	7.87030i	0.0278365	+	0.352677i
$499$	11.2076	−	8.93779i	0.501723	−	0.400110i	−0.339662	−	0.940548i	$-0.610313\pi$
$499$	11.2076	−	8.93779i	0.501723	−	0.400110i	0.841384	+	0.540437i	$0.181741\pi$
$500$	46.3283	+	3.10249i	2.07186	+	0.138747i
$501$	2.62918	−	3.29689i	0.117463	−	0.147294i
$502$	19.4416	−	6.08148i	0.867720	−	0.271430i
$503$	12.4030	−	15.5529i	0.553024	−	0.693470i	−0.424227	−	0.905556i	$-0.639454\pi$
$503$	12.4030	−	15.5529i	0.553024	−	0.693470i	0.977251	+	0.212086i	$0.0680256\pi$
$504$	4.30515	−	6.12092i	0.191766	−	0.272648i
$505$	10.4813	+	13.1431i	0.466410	+	0.584859i
$506$	−3.35896	−	2.27064i	−0.149324	−	0.100942i
$507$	3.27767	−	14.3604i	0.145566	−	0.637768i
$508$	4.60912	+	2.61255i	0.204497	+	0.115913i
$509$		−	39.9445i		−	1.77051i	−0.465107	−	0.885254i	$-0.653984\pi$
$509$		−	39.9445i		−	1.77051i	0.465107	−	0.885254i	$-0.346016\pi$
$510$	34.0515	−	10.6516i	1.50783	−	0.471660i
$511$	−14.6168	−	2.60050i	−0.646608	−	0.115039i
$512$	−5.81913	−	21.8664i	−0.257172	−	0.966366i
$513$	1.06482	+	4.66530i	0.0470131	+	0.205978i
$514$	−34.4511	−	13.3636i	−1.51957	−	0.589444i
$515$	29.8761	−	23.8254i	1.31650	−	1.04987i
$516$	−0.990924	+	3.30536i	−0.0436230	+	0.145510i
$517$	0.681673	−	0.155587i	0.0299800	−	0.00684273i
$518$	15.2138	−	5.57926i	0.668455	−	0.245138i
$519$	−16.1267	−	3.68082i	−0.707885	−	0.161570i
$520$	59.2634	−	0.705167i	2.59887	−	0.0309236i
$521$		−	5.57882i		−	0.244413i	−0.992505	−	0.122206i	$-0.961003\pi$
$521$		−	5.57882i		−	0.244413i	0.992505	−	0.122206i	$-0.0389969\pi$
$522$	2.90786	−	0.909603i	0.127274	−	0.0398122i
$523$	−7.83587	+	3.77356i	−0.342639	+	0.165006i	−0.597287	−	0.802028i	$-0.703755\pi$
$523$	−7.83587	+	3.77356i	−0.342639	+	0.165006i	0.254648	+	0.967034i	$0.418040\pi$
$524$	−16.9000	+	2.68454i	−0.738282	+	0.117275i
$525$	−16.7687	+	23.2483i	−0.731845	+	1.01464i
$526$	3.31128	−	22.5761i	0.144379	−	0.984365i
$527$	36.3011	+	8.28548i	1.58130	+	0.360921i
$528$	0.184371	−	1.37040i	0.00802374	−	0.0596391i
$529$	41.2465	−	19.8633i	1.79333	−	0.863621i
$530$	61.4306	+	23.8290i	2.66837	+	1.03507i
$531$	−2.99202	−	1.44088i	−0.129843	−	0.0625289i
$532$	−10.5617	−	23.0134i	−0.457909	−	0.997758i
$533$	−1.55752	+	0.750064i	−0.0674639	+	0.0324889i
$534$	4.92729	−	0.388907i	0.213225	−	0.0168297i
$535$	6.44939	+	28.2566i	0.278831	+	1.22164i
$536$	−11.6794	+	25.0094i	−0.504473	+	1.08024i
$537$	5.04828	+	4.02587i	0.217850	+	0.173729i
$538$	−2.73193	+	1.59176i	−0.117782	+	0.0686257i
$539$	−1.73745	+	1.68427i	−0.0748371	+	0.0725466i
$540$	6.92358	+	3.92444i	0.297943	+	0.168881i
$541$	−2.78704	+	3.49484i	−0.119824	+	0.150255i	−0.838126	−	0.545477i	$-0.816348\pi$
$541$	−2.78704	+	3.49484i	−0.119824	+	0.150255i	0.718301	+	0.695732i	$0.244920\pi$
$542$	−1.90330	−	24.1140i	−0.0817538	−	1.03579i
$543$	−19.7849	+	4.51578i	−0.849053	+	0.193791i
$544$	20.7870	+	29.2264i	0.891234	+	1.25307i
$545$	−6.84447	−	14.2127i	−0.293185	−	0.608805i
$546$	−10.2331	+	16.8375i	−0.437935	+	0.720577i
$547$	10.8045	−	22.4357i	0.461966	−	0.959282i	−0.531703	−	0.846931i	$-0.678448\pi$
$547$	10.8045	−	22.4357i	0.461966	−	0.959282i	0.993669	−	0.112351i	$-0.0358381\pi$
$548$	44.9971	−	7.14769i	1.92218	−	0.305334i
$549$	−2.26749	−	4.70849i	−0.0967741	−	0.200953i
$550$	−0.768642	+	5.24055i	−0.0327750	+	0.223458i
$551$	2.29408	−	10.0510i	0.0977309	−	0.428187i
$552$	18.5123	+	14.4061i	0.787936	+	0.613164i
$553$	13.0073	−	11.4435i	0.553129	−	0.486629i
$554$	11.4689	−	29.5665i	0.487265	−	1.25616i
$555$	7.47731	+	15.5268i	0.317394	+	0.659076i
$556$	21.5174	+	19.6499i	0.912541	+	0.833342i
$557$	−8.36038			−0.354241			−0.177120	−	0.984189i	$-0.556678\pi$
$557$	−8.36038			−0.354241			−0.177120	+	0.984189i	$0.556678\pi$
$558$	4.18127	+	7.17630i	0.177007	+	0.303797i
$559$	2.02172	−	8.85773i	0.0855096	−	0.374642i
$560$	−40.1074	−	12.8389i	−1.69485	−	0.542541i
$561$	0.487694	+	2.13673i	0.0205904	+	0.0902126i
$562$	17.1204	−	16.0123i	0.722182	−	0.675437i
$563$	−0.512483	−	0.642634i	−0.0215986	−	0.0270838i	0.770915	−	0.636938i	$-0.219799\pi$
$563$	−0.512483	−	0.642634i	−0.0215986	−	0.0270838i	−0.792513	+	0.609854i	$0.791228\pi$
$564$	−3.99521	+	0.634631i	−0.168229	+	0.0267228i
$565$	−21.9957	+	5.02037i	−0.925366	+	0.211209i
$566$	−2.43749	+	2.27972i	−0.102455	+	0.0958236i
$567$	−2.32550	+	1.26177i	−0.0976617	+	0.0529893i
$568$	39.0335	+	8.42182i	1.63781	+	0.353372i
$569$	18.8473			0.790121			0.395061	−	0.918655i	$-0.370724\pi$
$569$	18.8473			0.790121			0.395061	+	0.918655i	$0.370724\pi$
$570$	23.2677	−	13.5569i	0.974575	−	0.567837i
$571$	−43.5595	−	9.94216i	−1.82291	−	0.416066i	−0.832474	−	0.554064i	$-0.813076\pi$
$571$	−43.5595	−	9.94216i	−1.82291	−	0.416066i	−0.990433	+	0.137998i	$0.955933\pi$
$572$	−0.243264	+	3.63257i	−0.0101714	+	0.151885i
$573$	−4.29903	+	3.42836i	−0.179594	+	0.143222i
$574$	1.21843	−	0.155696i	0.0508561	−	0.00649864i
$575$	−70.2499	−	56.0224i	−2.92962	−	2.33630i
$576$	−1.59408	+	7.83957i	−0.0664200	+	0.326649i
$577$	12.2938	+	9.80398i	0.511798	+	0.408145i	0.845046	−	0.534694i	$-0.179573\pi$
$577$	12.2938	+	9.80398i	0.511798	+	0.408145i	−0.333248	+	0.942839i	$0.608145\pi$
$578$	−27.1775	−	18.3718i	−1.13043	−	0.764167i
$579$	5.18273	+	6.49894i	0.215387	+	0.270087i
$580$	−9.77068	−	14.0895i	−0.405706	−	0.585036i
$581$	−2.58709	+	14.5414i	−0.107331	+	0.603280i
$582$	−0.465706	+	0.688920i	−0.0193041	+	0.0285567i
$583$	−1.75616	+	3.64670i	−0.0727327	+	0.151031i
$584$	15.4303	−	3.71556i	0.638511	−	0.153751i
$585$	−18.8791	−	9.09171i	−0.780556	−	0.375896i
$586$	0.188555	−	1.28555i	0.00778912	−	0.0531057i
$587$	−38.5154			−1.58970			−0.794851	−	0.606805i	$-0.792451\pi$
$587$	−38.5154			−1.58970			−0.794851	+	0.606805i	$0.792451\pi$
$588$	10.6808	−	9.05103i	0.440467	−	0.373258i
$589$	28.1035			1.15798
$590$	−2.71203	+	18.4904i	−0.111652	+	0.761239i
$591$	4.79689	+	2.31006i	0.197318	+	0.0950231i
$592$	−12.5104	+	11.9829i	−0.514175	+	0.492492i
$593$	−12.5446	+	26.0491i	−0.515145	+	1.06971i	0.467462	+	0.884013i	$0.345168\pi$
$593$	−12.5446	+	26.0491i	−0.515145	+	1.06971i	−0.982607	+	0.185696i	$0.940546\pi$
$594$	−0.273789	+	0.405017i	−0.0112337	+	0.0166180i
$595$	66.6706	−	3.22470i	2.73323	−	0.132200i
$596$	−35.4717	+	24.5986i	−1.45298	+	1.00760i
$597$	6.84615	+	8.58480i	0.280194	+	0.351353i
$598$	−51.1675	−	34.5889i	−2.09239	−	1.41445i
$599$	−7.09652	−	5.65929i	−0.289956	−	0.231232i	0.467698	−	0.883888i	$-0.345083\pi$
$599$	−7.09652	−	5.65929i	−0.289956	−	0.231232i	−0.757654	+	0.652656i	$0.773655\pi$
$600$	6.46299	−	29.9547i	0.263851	−	1.22290i
$601$	−9.38361	−	7.48318i	−0.382765	−	0.305245i	0.413138	−	0.910668i	$-0.364433\pi$
$601$	−9.38361	−	7.48318i	−0.382765	−	0.305245i	−0.795904	+	0.605423i	$0.793004\pi$
$602$	−3.35282	+	5.51672i	−0.136651	+	0.224845i
$603$	7.62977	−	6.08453i	0.310708	−	0.247781i
$604$	−2.79070	−	0.186886i	−0.113552	−	0.00760428i
$605$	42.2105	+	9.63428i	1.71610	+	0.391689i
$606$	5.16216	−	3.00773i	0.209698	−	0.122181i
$607$	29.5684			1.20014			0.600072	−	0.799946i	$-0.295138\pi$
$607$	29.5684			1.20014			0.600072	+	0.799946i	$0.295138\pi$
$608$	20.2046	+	18.0149i	0.819405	+	0.730601i
$609$	5.69340	−	0.275376i	0.230708	−	0.0111588i
$610$	−21.4791	+	20.0888i	−0.869664	+	0.813373i
$611$	10.3840	−	2.37009i	0.420093	−	0.0958834i
$612$	−1.98927	−	12.5231i	−0.0804115	−	0.506216i
$613$	12.8762	+	16.1463i	0.520066	+	0.652142i	0.970623	−	0.240605i	$-0.0773460\pi$
$613$	12.8762	+	16.1463i	0.520066	+	0.652142i	−0.450557	+	0.892748i	$0.648775\pi$
$614$	20.6378	−	19.3020i	0.832873	−	0.778963i
$615$	0.290685	+	1.27357i	0.0117216	+	0.0513555i
$616$	0.980083	−	2.39404i	0.0394887	−	0.0964585i
$617$	−3.25339	+	14.2540i	−0.130977	+	0.573846i	0.866263	+	0.499589i	$0.166516\pi$
$617$	−3.25339	+	14.2540i	−0.130977	+	0.573846i	−0.997239	+	0.0742570i	$0.976341\pi$
$618$	−6.83700	−	11.7343i	−0.275025	−	0.472023i
$619$	−17.5217			−0.704256			−0.352128	−	0.935952i	$-0.614542\pi$
$619$	−17.5217			−0.704256			−0.352128	+	0.935952i	$0.614542\pi$
$620$	31.5181	−	34.5135i	1.26580	−	1.38610i
$621$	−3.59836	−	7.47208i	−0.144397	−	0.299844i
$622$	−2.82261	+	7.27662i	−0.113176	+	0.291766i
$623$	9.10383	+	1.61968i	0.364737	+	0.0648910i
$624$	2.80856	−	20.8755i	0.112432	−	0.835689i
$625$	−8.50264	+	37.2525i	−0.340106	+	1.49010i
$626$	−1.34041	+	9.13880i	−0.0535734	+	0.365260i
$627$	0.717733	+	1.49039i	0.0286635	+	0.0595204i
$628$	4.21620	+	26.5423i	0.168245	+	1.05915i
$629$	11.9135	−	24.7386i	0.475022	−	0.986393i
$630$	10.6837	+	10.3701i	0.425649	+	0.413154i
$631$	−20.3401	−	42.2367i	−0.809728	−	1.68142i	−0.728829	−	0.684696i	$-0.759935\pi$
$631$	−20.3401	−	42.2367i	−0.809728	−	1.68142i	−0.0808989	−	0.996722i	$-0.525779\pi$
$632$	−7.83681	+	16.7812i	−0.311732	+	0.667520i
$633$	6.89259	−	1.57319i	0.273956	−	0.0625287i
$634$	−0.879545	−	11.1435i	−0.0349312	−	0.442563i
$635$	−6.57227	+	8.24137i	−0.260813	+	0.327049i
$636$	11.5474	−	20.3722i	0.457885	−	0.807812i
$637$	−26.4668	+	25.6567i	−1.04865	+	1.01656i
$638$	0.910039	−	0.530235i	0.0360288	−	0.0209922i
$639$	−11.0379	−	8.80243i	−0.436652	−	0.348219i
$640$	44.7833	−	4.60926i	1.77022	−	0.182197i
$641$	3.74621	+	16.4132i	0.147966	+	0.648283i	0.993449	+	0.114279i	$0.0364559\pi$
$641$	3.74621	+	16.4132i	0.147966	+	0.648283i	−0.845482	+	0.534003i	$0.820687\pi$
$642$	10.2687	−	0.810499i	0.405272	−	0.0319878i
$643$	23.6659	−	11.3969i	0.933291	−	0.449449i	0.0954931	−	0.995430i	$-0.469557\pi$
$643$	23.6659	−	11.3969i	0.933291	−	0.449449i	0.837798	+	0.545981i	$0.183843\pi$
$644$	26.7208	+	34.8115i	1.05295	+	1.37177i
$645$	−6.18566	−	2.97886i	−0.243560	−	0.117292i
$646$	−40.0016	−	15.5167i	−1.57384	−	0.610496i
$647$	−43.8433	+	21.1138i	−1.72366	+	0.830069i	−0.735332	+	0.677707i	$0.762974\pi$
$647$	−43.8433	+	21.1138i	−1.72366	+	0.830069i	−0.988325	+	0.152362i	$0.951312\pi$
$648$	1.73706	−	2.23218i	0.0682382	−	0.0876883i
$649$	−1.11921	−	0.255452i	−0.0439327	−	0.0100274i
$650$	−11.7088	+	79.8301i	−0.459258	+	3.13119i
$651$	4.18540	+	14.9640i	0.164039	+	0.586484i
$652$	2.07851	+	13.0849i	0.0814006	+	0.512443i
$653$	16.2026	−	7.80277i	0.634058	−	0.305346i	−0.0891067	−	0.996022i	$-0.528401\pi$
$653$	16.2026	−	7.80277i	0.634058	−	0.305346i	0.723164	+	0.690676i	$0.242687\pi$
$654$	−5.35070	+	1.67374i	−0.209229	+	0.0654485i
$655$		−	34.0462i		−	1.33029i
$656$	−1.12666	+	0.674530i	−0.0439886	+	0.0263360i
$657$	−5.47069	−	1.24865i	−0.213432	−	0.0487144i
$658$	−7.53226	−	0.735238i	−0.293638	−	0.0286626i
$659$	−47.1805	+	10.7687i	−1.83789	+	0.419487i	−0.993265	−	0.115866i	$-0.963036\pi$
$659$	−47.1805	+	10.7687i	−1.83789	+	0.419487i	−0.844628	+	0.535354i	$0.820178\pi$
$660$	2.63526	+	0.790034i	0.102577	+	0.0307520i
$661$	14.3758	−	11.4643i	0.559155	−	0.445912i	−0.302685	−	0.953091i	$-0.597883\pi$
$661$	14.3758	−	11.4643i	0.559155	−	0.445912i	0.861841	+	0.507179i	$0.169312\pi$
$662$	−20.3614	−	7.89821i	−0.791369	−	0.306973i
$663$	7.42911	+	32.5490i	0.288523	+	1.26410i
$664$	−3.69641	−	15.3508i	−0.143449	−	0.595726i
$665$	48.5176	−	13.5703i	1.88143	−	0.526234i
$666$	5.84543	−	1.82850i	0.226506	−	0.0708528i
$667$			17.8674i			0.691829i
$668$	−4.15881	+	7.33707i	−0.160909	+	0.283880i
$669$	4.08108	−	17.8804i	0.157784	−	0.691295i
$670$	−45.4975	−	30.7560i	−1.75772	−	1.18821i
$671$	−1.12638	−	1.41243i	−0.0434833	−	0.0545264i
$672$	−6.58316	+	13.4411i	−0.253951	+	0.518500i
$673$	−3.59179	+	4.50396i	−0.138453	+	0.173615i	−0.846224	−	0.532827i	$-0.821130\pi$
$673$	−3.59179	+	4.50396i	−0.138453	+	0.173615i	0.707771	+	0.706442i	$0.249701\pi$
$674$	−23.5733	+	7.37393i	−0.908011	+	0.284033i
$675$	−6.75507	+	8.47059i	−0.260003	+	0.326033i
$676$	−1.96841	+	29.3936i	−0.0757082	+	1.13052i
$677$	14.3959	−	11.4803i	0.553278	−	0.441225i	−0.306516	−	0.951866i	$-0.599163\pi$
$677$	14.3959	−	11.4803i	0.553278	−	0.441225i	0.859794	+	0.510641i	$0.170592\pi$
$678$	0.630914	+	7.99341i	0.0242301	+	0.306985i
$679$	−1.16802	+	1.02760i	−0.0448245	+	0.0394355i
$680$	−63.9177	+	31.7234i	−2.45113	+	1.21654i
$681$	−2.33332	−	1.12367i	−0.0894131	−	0.0430591i
$682$	1.96119	+	2.09692i	0.0750979	+	0.0802952i
$683$	−5.60062	+	11.6298i	−0.214302	+	0.445002i	−0.980213	−	0.197944i	$-0.936574\pi$
$683$	−5.60062	+	11.6298i	−0.214302	+	0.445002i	0.765912	+	0.642946i	$0.222288\pi$
$684$	−3.56707	−	8.88096i	−0.136390	−	0.339572i
$685$			90.6494i			3.46353i
$686$	23.6051	−	11.3489i	0.901248	−	0.433304i
$687$		−	17.8271i		−	0.680147i
$688$	0.920211	−	6.83977i	0.0350827	−	0.260764i
$689$	−26.7518	+	55.5507i	−1.01916	+	2.11631i
$690$	−34.0860	+	31.8797i	−1.29763	+	1.21364i
$691$	34.2722	+	16.5046i	1.30378	+	0.627866i	0.951390	−	0.307989i	$-0.0996560\pi$
$691$	34.2722	+	16.5046i	1.30378	+	0.627866i	0.352386	+	0.935855i	$0.385370\pi$
$692$	33.0090	+	2.21053i	1.25481	+	0.0840317i
$693$	−0.686680	+	0.604125i	−0.0260848	+	0.0229488i
$694$	−3.88928	+	0.306978i	−0.147635	+	0.0116527i
$695$	−45.3280	+	36.1479i	−1.71939	+	1.37117i
$696$	−5.45831	+	2.70906i	−0.206897	+	0.102687i
$697$	1.29770	−	1.62727i	0.0491540	−	0.0616371i
$698$	−8.31798	−	26.5913i	−0.314840	−	1.00650i
$699$	−12.2293	+	15.3350i	−0.462553	+	0.580023i
$700$	25.8276	−	51.1823i	0.976192	−	1.93451i
$701$	−20.6915	−	25.9464i	−0.781509	−	0.979981i	−0.999991	−	0.00414009i	$-0.998682\pi$
$701$	−20.6915	−	25.9464i	−0.781509	−	0.979981i	0.218483	−	0.975841i	$-0.429889\pi$
$702$	−4.17067	+	6.16968i	−0.157412	+	0.232859i
$703$	4.61158	−	20.2047i	0.173929	−	0.762034i
$704$	0.0658032	+	2.76471i	0.00248005	+	0.104199i
$705$		−	8.04860i		−	0.303128i
$706$	−13.4159	−	42.8887i	−0.504915	−	1.61414i
$707$	10.7641	−	3.01071i	0.404826	−	0.113229i
$708$	6.36204	+	1.90730i	0.239100	+	0.0716806i
$709$	8.96929	+	39.2970i	0.336849	+	1.47583i	0.805578	+	0.592489i	$0.201855\pi$
$709$	8.96929	+	39.2970i	0.336849	+	1.47583i	−0.468730	+	0.883342i	$0.655288\pi$
$710$	−28.7324	+	74.0714i	−1.07831	+	2.77985i
$711$	5.11953	−	4.08269i	0.191997	−	0.153113i
$712$	−9.61053	+	2.31418i	−0.360170	+	0.0867276i
$713$	−47.4852	+	10.8382i	−1.77833	+	0.405893i
$714$	2.30463	−	23.6101i	0.0862485	−	0.883586i
$715$	−7.06200	−	1.61185i	−0.264104	−	0.0602800i
$716$	−11.2347	−	6.36808i	−0.419861	−	0.237986i
$717$		−	17.9878i		−	0.671768i
$718$	−7.99841	−	25.5697i	−0.298498	−	0.954254i
$719$	−5.87051	+	2.82709i	−0.218933	+	0.105433i	−0.540136	−	0.841578i	$-0.681627\pi$
$719$	−5.87051	+	2.82709i	−0.218933	+	0.105433i	0.321203	+	0.947010i	$0.395913\pi$
$720$	−14.9070	−	5.57933i	−0.555553	−	0.207929i
$721$	−6.84376	−	24.4683i	−0.254875	−	0.911247i
$722$	−5.45543	−	0.800158i	−0.203030	−	0.0297788i
$723$	4.75615	+	1.08556i	0.176883	+	0.0403725i
$724$	37.6630	−	15.1275i	1.39974	−	0.562209i
$725$	21.0301	−	10.1275i	0.781037	−	0.376128i
$726$	5.56478	−	14.3459i	0.206528	−	0.532425i
$727$	−27.2695	−	13.1323i	−1.01137	−	0.487050i	−0.146588	−	0.989198i	$-0.546829\pi$
$727$	−27.2695	−	13.1323i	−1.01137	−	0.487050i	−0.864782	+	0.502148i	$0.832543\pi$
$728$	14.9297	−	36.4687i	0.553333	−	1.35162i
$729$	−0.900969	+	0.433884i	−0.0333692	+	0.0160698i
$730$	2.48469	+	31.4800i	0.0919627	+	1.16513i
$731$	2.43412	+	10.6646i	0.0900290	+	0.394443i
$732$	5.95617	+	8.58892i	0.220146	+	0.317456i
$733$	−19.3392	−	15.4225i	−0.714311	−	0.569644i	0.197476	−	0.980308i	$-0.436726\pi$
$733$	−19.3392	−	15.4225i	−0.714311	−	0.569644i	−0.911787	+	0.410664i	$0.865297\pi$
$734$	−20.3233	−	34.8807i	−0.750146	−	1.28747i
$735$	14.4513	+	23.8126i	0.533043	+	0.878342i
$736$	−41.0863	−	22.6470i	−1.51446	−	0.834779i
$737$	2.10334	−	2.63751i	0.0774777	−	0.0971540i
$738$	0.462827	−	0.0365306i	0.0170369	−	0.00134471i
$739$	10.2601	−	2.34181i	0.377425	−	0.0861447i	−0.0296001	−	0.999562i	$-0.509423\pi$
$739$	10.2601	−	2.34181i	0.377425	−	0.0861447i	0.407025	+	0.913417i	$0.366566\pi$
$740$	−19.6412	−	28.3230i	−0.722023	−	1.04117i
$741$	10.9333	+	22.7033i	0.401646	+	0.834027i
$742$	30.5133	−	31.4362i	1.12018	−	1.15406i
$743$	5.64737	−	11.7269i	0.207182	−	0.430218i	−0.771322	−	0.636445i	$-0.780404\pi$
$743$	5.64737	−	11.7269i	0.207182	−	0.430218i	0.978504	+	0.206227i	$0.0661186\pi$
$744$	−10.5106	−	12.8629i	−0.385339	−	0.471578i
$745$	−37.2639	−	77.3792i	−1.36524	−	2.83496i
$746$	22.5696	+	3.31033i	0.826333	+	0.121200i
$747$	−1.24221	+	5.44249i	−0.0454502	+	0.199130i
$748$	−1.63373	−	4.06752i	−0.0597352	−	0.148723i
$749$	18.9728	+	3.37548i	0.693249	+	0.123337i
$750$	30.6102	+	11.8737i	1.11773	+	0.433567i
$751$	−4.26103	−	8.84813i	−0.155487	−	0.322873i	0.808644	−	0.588298i	$-0.200202\pi$
$751$	−4.26103	−	8.84813i	−0.155487	−	0.322873i	−0.964131	+	0.265425i	$0.914488\pi$
$752$	7.69235	−	2.50709i	0.280511	−	0.0914242i
$753$	14.4041			0.524916
$754$	13.8628	−	8.07714i	0.504852	−	0.294152i
$755$	1.23830	−	5.42533i	0.0450662	−	0.197448i
$756$	4.19751	−	3.22194i	0.152662	−	0.117181i
$757$	7.34691	+	32.1889i	0.267028	+	1.16993i	0.913451	+	0.406948i	$0.133407\pi$
$757$	7.34691	+	32.1889i	0.267028	+	1.16993i	−0.646423	+	0.762979i	$0.723736\pi$
$758$	−16.0639	−	17.1756i	−0.583465	−	0.623845i
$759$	−1.78749	−	2.24144i	−0.0648819	−	0.0813593i
$760$	−41.7055	+	34.0786i	−1.51282	+	1.23616i
$761$	31.5135	−	7.19275i	1.14236	−	0.260737i	0.390850	−	0.920455i	$-0.372181\pi$
$761$	31.5135	−	7.19275i	1.14236	−	0.260737i	0.751514	+	0.659718i	$0.229324\pi$
$762$	2.55900	+	2.73610i	0.0927027	+	0.0991184i
$763$	−10.4763	+	0.506715i	−0.379268	+	0.0183443i
$764$	7.41590	−	8.12069i	0.268298	−	0.293796i
$765$	25.2286			0.912141
$766$	16.3336	+	28.0333i	0.590158	+	1.01288i
$767$	−17.0490	−	3.89133i	−0.615605	−	0.140508i
$768$	0.688923	−	15.9852i	0.0248594	−	0.576815i
$769$	4.88444	−	3.89521i	0.176138	−	0.140465i	−0.531453	−	0.847088i	$-0.678354\pi$
$769$	4.88444	−	3.89521i	0.176138	−	0.140465i	0.707590	+	0.706623i	$0.249782\pi$
$770$	4.39832	+	2.67310i	0.158504	+	0.0963319i
$771$	−20.4286	−	16.2913i	−0.735718	−	0.586715i
$772$	−12.2762	−	11.2108i	−0.441831	−	0.403485i
$773$	4.84653	+	3.86498i	0.174317	+	0.139014i	0.706762	−	0.707451i	$-0.250155\pi$
$773$	4.84653	+	3.86498i	0.174317	+	0.139014i	−0.532445	+	0.846465i	$0.678727\pi$
$774$	−1.36650	+	2.02147i	−0.0491179	+	0.0726602i
$775$	39.6720	+	49.7471i	1.42506	+	1.78697i
$776$	0.703722	−	1.50690i	0.0252621	−	0.0540946i
$777$	11.4450	−	0.553565i	0.410586	−	0.0198590i
$778$	−28.2740	−	19.1131i	−1.01367	−	0.685237i
$779$	0.681605	−	1.41537i	0.0244210	−	0.0507108i
$780$	40.1433	+	12.0347i	1.43736	+	0.430911i
$781$	−4.39710	−	2.11753i	−0.157340	−	0.0757712i
$782$	73.5729	+	10.7911i	2.63096	+	0.385888i
$783$	2.15442			0.0769927
$784$	−18.2572	+	21.2291i	−0.652041	+	0.758183i
$785$	−53.4712			−1.90847
$786$	−11.9719	−	1.75594i	−0.427023	−	0.0626323i
$787$	−16.6159	−	8.00180i	−0.592293	−	0.285233i	0.113628	−	0.993523i	$-0.463753\pi$
$787$	−16.6159	−	8.00180i	−0.592293	−	0.285233i	−0.705922	+	0.708290i	$0.749467\pi$
$788$	−10.1998	−	3.05783i	−0.363352	−	0.108931i
$789$	7.00051	−	14.5367i	0.249225	−	0.517520i
$790$	−30.5286	−	20.6371i	−1.08616	−	0.734236i
$791$	−2.62756	+	14.7689i	−0.0934253	+	0.525122i
$792$	0.413719	−	0.885908i	0.0147009	−	0.0314794i
$793$	−17.1583	−	21.5158i	−0.609308	−	0.764049i
$794$	−12.5720	+	18.5977i	−0.446162	+	0.660009i
$795$	36.4267	+	29.0493i	1.29192	+	1.03027i
$796$	−16.2163	−	14.8089i	−0.574773	−	0.524889i
$797$	−32.2970	−	25.7560i	−1.14402	−	0.912325i	−0.146974	−	0.989140i	$-0.546953\pi$
$797$	−32.2970	−	25.7560i	−1.14402	−	0.912325i	−0.997045	+	0.0768155i	$0.975525\pi$
$798$	−2.26951	−	17.7604i	−0.0803398	−	0.628713i
$799$	−10.0260	+	7.99545i	−0.354694	+	0.282859i
$800$	−3.36726	+	61.1955i	−0.119051	+	2.16359i
$801$	3.40733	+	0.777701i	0.120392	+	0.0274787i
$802$	14.8314	+	25.4550i	0.523714	+	0.898848i
$803$	−1.93978			−0.0684533
$804$	−13.1615	+	14.4123i	−0.464170	+	0.508283i
$805$	−76.7444	+	41.6400i	−2.70489	+	1.46762i
$806$	29.8751	+	31.9427i	1.05231	+	1.12513i
$807$	−2.17969	+	0.497501i	−0.0767288	+	0.0175129i
$808$	−9.25276	+	7.56067i	−0.325511	+	0.265984i
$809$	6.59641	+	8.27163i	0.231917	+	0.290815i	0.884149	−	0.467204i	$-0.154739\pi$
$809$	6.59641	+	8.27163i	0.231917	+	0.290815i	−0.652232	+	0.758019i	$0.726167\pi$
$810$	3.84399	+	4.11003i	0.135064	+	0.144412i
$811$	1.42267	+	6.23313i	0.0499567	+	0.218875i	0.993745	−	0.111677i	$-0.0356223\pi$
$811$	1.42267	+	6.23313i	0.0499567	+	0.218875i	−0.943788	+	0.330552i	$0.892765\pi$
$812$	−11.1594	+	2.33031i	−0.391618	+	0.0817778i
$813$	3.80605	−	16.6754i	0.133484	−	0.584832i
$814$	1.82937	−	1.06589i	0.0641195	−	0.0373593i
$815$	−26.3603			−0.923361
$816$	7.85855	+	24.1119i	0.275104	+	0.844086i
$817$	3.58226	+	7.43864i	0.125327	+	0.260245i
$818$	−35.3793	−	13.7237i	−1.23701	−	0.479837i
$819$	−10.4603	+	9.20272i	−0.365512	+	0.321569i
$820$	−0.973771	−	2.42440i	−0.0340056	−	0.0846638i
$821$	−3.15737	+	13.8333i	−0.110193	+	0.482787i	0.889474	+	0.456985i	$0.151071\pi$
$821$	−3.15737	+	13.8333i	−0.110193	+	0.482787i	−0.999667	+	0.0258012i	$0.991786\pi$
$822$	31.8756	+	4.67526i	1.11179	+	0.163068i
$823$	17.5018	+	36.3429i	0.610075	+	1.26683i	0.945762	+	0.324860i	$0.105317\pi$
$823$	17.5018	+	36.3429i	0.610075	+	1.26683i	−0.335687	+	0.941973i	$0.608969\pi$
$824$	17.1865	+	21.0328i	0.598719	+	0.732713i
$825$	−1.62501	+	3.37438i	−0.0565757	+	0.117481i
$826$	10.6184	+	6.45339i	0.369461	+	0.224542i
$827$	−13.3003	−	27.6184i	−0.462498	−	0.960386i	−0.993587	−	0.113071i	$-0.963931\pi$
$827$	−13.3003	−	27.6184i	−0.462498	−	0.960386i	0.531089	−	0.847316i	$-0.321783\pi$
$828$	9.45207	+	13.6301i	0.328482	+	0.473678i
$829$	−23.7381	+	5.41806i	−0.824457	+	0.188177i	−0.613879	−	0.789400i	$-0.710392\pi$
$829$	−23.7381	+	5.41806i	−0.824457	+	0.188177i	−0.210578	+	0.977577i	$0.567535\pi$
$830$	31.3178	−	2.47189i	1.08706	−	0.0858004i
$831$	13.9814	−	17.5321i	0.485010	−	0.608183i
$832$	1.00239	+	42.1153i	0.0347516	+	1.46008i
$833$	15.3071	−	41.6571i	0.530359	−	1.44333i
$834$	10.3731	+	17.8033i	0.359191	+	0.616478i
$835$	−13.1191	−	10.4621i	−0.454005	−	0.362057i
$836$	−1.88532	−	2.71867i	−0.0652052	−	0.0940272i
$837$	1.30685	+	5.72567i	0.0451712	+	0.197908i
$838$	−0.0200317	−	0.253793i	−0.000691982	−	0.00876712i
$839$	41.6469	−	20.0561i	1.43781	−	0.692412i	0.457378	−	0.889273i	$-0.348789\pi$
$839$	41.6469	−	20.0561i	1.43781	−	0.692412i	0.980432	+	0.196860i	$0.0630745\pi$
$840$	−24.3566	−	17.1312i	−0.840382	−	0.591082i
$841$	21.9462	+	10.5687i	0.756767	+	0.364440i
$842$	1.76634	−	4.55358i	0.0608720	−	0.156927i
$843$	14.9341	−	7.19189i	0.514358	−	0.247702i
$844$	−13.1209	+	5.27005i	−0.451639	+	0.181403i
$845$	−57.1434	−	13.0426i	−1.96579	−	0.448679i
$846$	−2.83018	−	0.415108i	−0.0973035	−	0.0142717i
$847$	16.8402	−	23.3475i	0.578635	−	0.802229i
$848$	−16.4169	+	43.8631i	−0.563757	+	1.50626i
$849$	−2.12622	+	1.02393i	−0.0729715	+	0.0351412i
$850$	−29.0012	−	92.7124i	−0.994732	−	3.18001i
$851$			35.9173i			1.23123i
$852$	24.5643	+	13.9236i	0.841559	+	0.477014i
$853$	40.0812	+	9.14827i	1.37235	+	0.313231i	0.844250	−	0.535949i	$-0.180046\pi$
$853$	40.0812	+	9.14827i	1.37235	+	0.313231i	0.528103	+	0.849180i	$0.322903\pi$
$854$	6.73249	+	18.3585i	0.230381	+	0.628213i
$855$	18.5643	−	4.23718i	0.634886	−	0.144909i
$856$	−20.0287	+	4.82285i	−0.684568	+	0.164842i
$857$	−15.6901	+	12.5124i	−0.535963	+	0.427416i	−0.853702	−	0.520762i	$-0.825648\pi$
$857$	−15.6901	+	12.5124i	−0.535963	+	0.427416i	0.317739	+	0.948178i	$0.397076\pi$
$858$	−0.931011	+	2.40012i	−0.0317842	+	0.0819389i
$859$	5.22585	+	22.8960i	0.178304	+	0.781200i	0.982413	+	0.186719i	$0.0597854\pi$
$859$	5.22585	+	22.8960i	0.178304	+	0.781200i	−0.804110	+	0.594481i	$0.797357\pi$
$860$	13.1528	+	3.94312i	0.448506	+	0.134459i
$861$	0.855135	+	0.152139i	0.0291429	+	0.00518487i
$862$	3.80357	+	12.1594i	0.129550	+	0.414152i
$863$		−	11.7419i		−	0.399698i	−0.979827	−	0.199849i	$-0.935955\pi$
$863$		−	11.7419i		−	0.399698i	0.979827	−	0.199849i	$-0.0640451\pi$
$864$	−2.73073	+	4.95410i	−0.0929013	+	0.168542i
$865$	−14.6468	+	64.1720i	−0.498008	+	2.18191i
$866$	24.7594	−	36.6267i	0.841359	−	1.24462i
$867$	−14.4627	−	18.1356i	−0.491178	−	0.615918i
$868$	−12.9623	−	28.2441i	−0.439969	−	0.958668i
$869$	1.41133	−	1.76976i	0.0478762	−	0.0600348i
$870$	−3.61952	−	11.5711i	−0.122713	−	0.392296i
$871$	32.0405	−	40.1776i	1.08565	−	1.36137i
$872$	10.0437	−	4.98488i	0.340124	−	0.168809i
$873$	−0.459719	+	0.366613i	−0.0155591	+	0.0124080i
$874$	55.9506	−	4.41614i	1.89256	−	0.149378i
$875$	49.8172	+	35.9324i	1.68413	+	1.21474i
$876$	11.1977	+	0.749880i	0.378334	+	0.0253361i
$877$	−35.2171	−	16.9597i	−1.18920	−	0.572687i	−0.268619	−	0.963247i	$-0.586567\pi$
$877$	−35.2171	−	16.9597i	−1.18920	−	0.572687i	−0.920578	+	0.390560i	$0.872281\pi$
$878$	−24.9954	+	23.3775i	−0.843554	+	0.788953i
$879$	0.398631	−	0.827765i	0.0134455	−	0.0279198i
$880$	−5.45315	−	0.733657i	−0.183826	−	0.0247316i
$881$		−	33.2295i		−	1.11953i	−0.828651	−	0.559765i	$-0.810891\pi$
$881$		−	33.2295i		−	1.11953i	0.828651	−	0.559765i	$-0.189109\pi$
$882$	9.11871	−	3.85345i	0.307043	−	0.129752i
$883$			43.2426i			1.45523i	0.685986	+	0.727615i	$0.259371\pi$
$883$			43.2426i			1.45523i	−0.685986	+	0.727615i	$0.740629\pi$
$884$	−24.8869	−	61.9610i	−0.837037	−	2.08398i
$885$	−5.73360	+	11.9059i	−0.192733	+	0.400214i
$886$	−15.0053	−	16.0438i	−0.504114	−	0.539002i
$887$	−32.7572	−	15.7750i	−1.09988	−	0.529674i	−0.206259	−	0.978498i	$-0.566129\pi$
$887$	−32.7572	−	15.7750i	−1.09988	−	0.529674i	−0.893620	+	0.448824i	$0.851843\pi$
$888$	−10.9724	+	5.44578i	−0.368209	+	0.182749i
$889$	3.34246	+	6.16031i	0.112103	+	0.206610i
$890$	−1.54755	−	19.6068i	−0.0518741	−	0.657223i
$891$	−0.270269	+	0.215532i	−0.00905435	+	0.00722060i
$892$	−2.45090	+	36.5984i	−0.0820623	+	1.22541i
$893$	−6.03472	+	7.56729i	−0.201944	+	0.253230i
$894$	−29.1312	+	9.11248i	−0.974295	+	0.304767i
$895$	16.0199	−	20.0883i	0.535486	−	0.671478i
$896$	8.78600	−	28.6148i	0.293520	−	0.955953i
$897$	−27.2291	−	34.1442i	−0.909154	−	1.14004i
$898$	17.1500	+	11.5933i	0.572301	+	0.386873i
$899$	2.81550	−	12.3355i	0.0939020	−	0.411412i
$900$	10.6851	−	18.8509i	0.356170	−	0.628363i
$901$		−	74.2336i		−	2.47308i
$902$	0.153172	−	0.0479134i	0.00510007	−	0.00159534i
$903$	−3.42727	+	3.01523i	−0.114053	+	0.100341i
$904$	−3.75423	−	15.5909i	−0.124864	−	0.518546i
$905$	17.9694	+	78.7289i	0.597322	+	2.61704i
$906$	−1.84388	−	0.715242i	−0.0612587	−	0.0237623i
$907$	−18.8613	+	15.0414i	−0.626278	+	0.499440i	−0.884435	−	0.466663i	$-0.845456\pi$
$907$	−18.8613	+	15.0414i	−0.626278	+	0.499440i	0.258157	+	0.966103i	$0.416885\pi$
$908$	4.96142	+	1.48740i	0.164651	+	0.0493611i
$909$	4.11867	−	0.940060i	0.136608	−	0.0311798i
$910$	67.0002	+	40.7197i	2.22104	+	1.34985i
$911$	48.3087	+	11.0261i	1.60054	+	0.365312i	0.927361	−	0.374169i	$-0.122072\pi$
$911$	48.3087	+	11.0261i	1.60054	+	0.365312i	0.673177	+	0.739481i	$0.264929\pi$
$912$	9.83231	+	16.4228i	0.325580	+	0.543812i
$913$			1.92978i			0.0638664i
$914$	24.9036	−	7.79006i	0.823739	−	0.257672i
$915$	−18.7362	+	9.02287i	−0.619399	+	0.298287i
$916$	5.59347	+	35.2127i	0.184814	+	1.16346i
$917$	−20.8459	−	8.82503i	−0.688392	−	0.291428i
$918$	1.30117	−	8.87128i	0.0429449	−	0.292796i
$919$	37.1938	+	8.48923i	1.22691	+	0.280034i	0.786402	−	0.617715i	$-0.211942\pi$
$919$	37.1938	+	8.48923i	1.22691	+	0.280034i	0.440507	+	0.897749i	$0.354799\pi$
$920$	57.3252	−	73.6648i	1.88996	−	2.42866i
$921$	18.0023	−	8.66945i	0.593196	−	0.285668i
$922$	8.02569	+	3.11317i	0.264312	+	0.102527i
$923$	−66.9816	−	32.2566i	−2.20473	−	1.06174i
$924$	1.16680	−	1.40874i	0.0383850	−	0.0463442i
$925$	42.2749	−	20.3585i	1.38999	−	0.669385i
$926$	−53.5132	+	4.22375i	−1.75855	+	0.138801i
$927$	−2.13689	−	9.36232i	−0.0701846	−	0.307499i
$928$	9.93145	−	7.06364i	0.326016	−	0.231875i
$929$	−18.5042	−	14.7566i	−0.607102	−	0.484148i	0.271027	−	0.962572i	$-0.412637\pi$
$929$	−18.5042	−	14.7566i	−0.607102	−	0.484148i	−0.878129	+	0.478424i	$0.841208\pi$
$930$	28.5562	−	16.6383i	0.936393	−	0.545590i
$931$	4.26725	−	33.2240i	0.139854	−	1.08887i
$932$	19.3441	−	34.1273i	0.633637	−	1.11788i
$933$	−3.44097	+	4.31484i	−0.112652	+	0.141262i
$934$	3.15438	+	39.9647i	0.103214	+	1.30768i
$935$	8.50253	−	1.94065i	0.278062	−	0.0634659i
$936$	6.30224	−	13.4952i	0.205995	−	0.441103i
$937$	−4.00885	−	8.32446i	−0.130963	−	0.271948i	0.825167	−	0.564888i	$-0.191081\pi$
$937$	−4.00885	−	8.32446i	−0.130963	−	0.271948i	−0.956131	+	0.292940i	$0.905366\pi$
$938$	−30.6247	+	19.8851i	−0.999931	+	0.649272i
$939$	−2.83380	+	5.88445i	−0.0924776	+	0.192032i
$940$	2.52534	+	15.8979i	0.0823677	+	0.518531i
$941$	−3.21041	−	6.66648i	−0.104656	−	0.217321i	0.842064	−	0.539377i	$-0.181340\pi$
$941$	−3.21041	−	6.66648i	−0.104656	−	0.217321i	−0.946721	+	0.322056i	$0.895626\pi$
$942$	−2.75779	+	18.8024i	−0.0898535	+	0.612616i
$943$	−0.605836	+	2.65434i	−0.0197287	+	0.0864372i
$944$	−13.1650	−	1.77119i	−0.428483	−	0.0576473i
$945$	5.02087	+	9.25370i	0.163329	+	0.301023i
$946$	−0.305042	+	0.786390i	−0.00991776	+	0.0255677i
$947$	20.9026	+	43.4047i	0.679243	+	1.41046i	0.900330	+	0.435208i	$0.143325\pi$
$947$	20.9026	+	43.4047i	0.679243	+	1.41046i	−0.221087	+	0.975254i	$0.570960\pi$
$948$	−8.83128	+	9.67059i	−0.286827	+	0.314086i
$949$	−29.5489			−0.959199
$950$	−36.9115	−	63.3511i	−1.19757	−	2.05538i
$951$	1.75883	−	7.70595i	0.0570341	−	0.249883i
$952$	2.85578	+	47.3586i	0.0925564	+	1.53490i
$953$	5.23138	+	22.9202i	0.169461	+	0.742457i	0.986215	+	0.165471i	$0.0529144\pi$
$953$	5.23138	+	22.9202i	0.169461	+	0.742457i	−0.816754	+	0.576987i	$0.804228\pi$
$954$	12.0935	−	11.3107i	0.391542	−	0.366198i
$955$	13.6422	+	17.1068i	0.441452	+	0.553564i
$956$	5.64391	+	35.5302i	0.182537	+	1.14913i
$957$	0.726082	−	0.165724i	0.0234709	−	0.00535708i
$958$	−8.79697	+	8.22757i	−0.284217	+	0.265821i
$959$	55.5030	+	23.4970i	1.79229	+	0.758757i
$960$	31.1955	+	6.34322i	1.00683	+	0.204727i
$961$	3.49113			0.112617
$962$	27.8671	−	16.2368i	0.898471	−	0.523495i
$963$	7.10102	+	1.62076i	0.228827	+	0.0522283i
$964$	−9.73513	−	0.651937i	−0.313547	−	0.0209975i
$965$	25.8608	−	20.6233i	0.832489	−	0.663888i
$966$	10.6840	+	29.1337i	0.343753	+	0.937362i
$967$	−2.73123	−	2.17808i	−0.0878304	−	0.0700424i	0.578590	−	0.815618i	$-0.303603\pi$
$967$	−2.73123	−	2.17808i	−0.0878304	−	0.0700424i	−0.666421	+	0.745576i	$0.732174\pi$
$968$	−6.49055	+	30.0825i	−0.208614	+	0.966887i
$969$	−23.7199	−	18.9160i	−0.761993	−	0.607669i
$970$	2.74137	+	1.85315i	0.0880202	+	0.0595012i
$971$	4.76373	+	5.97352i	0.152875	+	0.191700i	0.852371	−	0.522937i	$-0.175164\pi$
$971$	4.76373	+	5.97352i	0.152875	+	0.191700i	−0.699496	+	0.714636i	$0.746592\pi$
$972$	1.64349	−	1.13971i	0.0527149	−	0.0365563i
$973$	10.3834	+	37.1233i	0.332875	+	1.19012i
$974$	−0.0136638	+	0.0202129i	−0.000437816	+	0.000647662i
$975$	−24.7541	+	51.4024i	−0.792765	+	1.64619i
$976$	−14.4597	−	15.0963i	−0.462844	−	0.483221i
$977$	26.6158	+	12.8175i	0.851515	+	0.410068i	0.808140	−	0.588991i	$-0.200475\pi$
$977$	26.6158	+	12.8175i	0.851515	+	0.410068i	0.0433754	+	0.999059i	$0.486189\pi$
$978$	−1.35954	+	9.26924i	−0.0434732	+	0.296398i
$979$	1.20816			0.0386130
$980$	−36.0162	−	42.5013i	−1.15049	−	1.35765i
$981$	−3.96431			−0.126571
$982$	4.73598	−	32.2896i	0.151131	−	1.03040i
$983$	−24.1274	−	11.6191i	−0.769544	−	0.370593i	0.00755500	−	0.999971i	$-0.497595\pi$
$983$	−24.1274	−	11.6191i	−0.769544	−	0.370593i	−0.777099	+	0.629379i	$0.783309\pi$
$984$	−0.902731	+	0.217374i	−0.0287780	+	0.00692964i
$985$	9.19226	−	19.0879i	0.292890	−	0.608192i
$986$	−10.8182	+	16.0034i	−0.344523	+	0.509653i
$987$	−4.92801	−	2.08626i	−0.156860	−	0.0664063i
$988$	−28.7193	−	41.4139i	−0.913684	−	1.31755i
$989$	−8.92151	−	11.1872i	−0.283687	−	0.355733i
$990$	1.61166	+	1.08947i	0.0512218	+	0.0346256i
$991$	16.6837	+	13.3048i	0.529976	+	0.422642i	0.851574	−	0.524235i	$-0.175648\pi$
$991$	16.6837	+	13.3048i	0.529976	+	0.422642i	−0.321598	+	0.946876i	$0.604220\pi$
$992$	24.7969	+	22.1095i	0.787302	+	0.701977i
$993$	−12.0738	−	9.62852i	−0.383150	−	0.305552i
$994$	37.9050	+	36.7922i	1.20227	+	1.16698i
$995$	34.1609	−	27.2424i	1.08297	−	0.863643i
$996$	0.746014	−	11.1399i	0.0236384	−	0.352983i
$997$	−19.9277	−	4.54837i	−0.631117	−	0.144048i	−0.105016	−	0.994471i	$-0.533489\pi$
$997$	−19.9277	−	4.54837i	−0.631117	−	0.144048i	−0.526101	+	0.850422i	$0.676347\pi$
$998$	−17.5165	+	10.2060i	−0.554475	+	0.323065i
$999$	4.33084			0.137022

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	588.2.x.a.55.2	✓	168
4.3	odd	2		588.2.x.b.55.18	yes	168
49.41	odd	14		588.2.x.b.139.18	yes	168
196.139	even	14	inner	588.2.x.a.139.2	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
588.2.x.a.55.2	✓	168	1.1	even	1	trivial
588.2.x.a.139.2	yes	168	196.139	even	14	inner
588.2.x.b.55.18	yes	168	4.3	odd	2
588.2.x.b.139.18	yes	168	49.41	odd	14

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:	\( N \)	\(=\)	\( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	588.x (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39924 - 0.205230i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.91576 + 0.574332i) q^{4} +(-1.72652 + 3.58517i) q^{5} +(1.17163 + 0.792014i) q^{6} +(1.74761 + 1.98642i) q^{7} +(-2.56275 - 1.19680i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\)	\(q+(-1.39924 - 0.205230i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(1.91576 + 0.574332i) q^{4} +(-1.72652 + 3.58517i) q^{5} +(1.17163 + 0.792014i) q^{6} +(1.74761 + 1.98642i) q^{7} +(-2.56275 - 1.19680i) q^{8} +(0.623490 + 0.781831i) q^{9} +(3.15161 - 4.66218i) q^{10} +(0.270269 + 0.215532i) q^{11} +(-1.47685 - 1.34867i) q^{12} +(4.11705 + 3.28323i) q^{13} +(-2.03765 - 3.13815i) q^{14} +(3.11109 - 2.48101i) q^{15} +(3.34028 + 2.20057i) q^{16} +(-6.18110 - 1.41080i) q^{17} +(-0.711959 - 1.22193i) q^{18} -4.78527 q^{19} +(-5.36669 + 5.87672i) q^{20} +(-0.712662 - 2.54796i) q^{21} +(-0.333938 - 0.357049i) q^{22} +(8.08545 - 1.84545i) q^{23} +(1.78968 + 2.19021i) q^{24} +(-6.75507 - 8.47059i) q^{25} +(-5.08693 - 5.43898i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(2.20713 + 4.80922i) q^{28} +(-0.479403 + 2.10040i) q^{29} +(-4.86235 + 2.83305i) q^{30} -5.87291 q^{31} +(-4.22225 - 3.76465i) q^{32} +(-0.149988 - 0.311453i) q^{33} +(8.35932 + 3.24259i) q^{34} +(-10.1389 + 2.83585i) q^{35} +(0.745427 + 1.85589i) q^{36} +(-0.963703 + 4.22226i) q^{37} +(6.69576 + 0.982080i) q^{38} +(-2.28479 - 4.74441i) q^{39} +(8.71538 - 7.12156i) q^{40} +(-0.142438 + 0.295776i) q^{41} +(0.474270 + 3.71148i) q^{42} +(-0.748601 - 1.55449i) q^{43} +(0.393984 + 0.568133i) q^{44} +(-3.87947 + 0.885463i) q^{45} +(-11.6923 + 0.922860i) q^{46} +(1.26110 - 1.58137i) q^{47} +(-2.05470 - 3.43194i) q^{48} +(-0.891747 + 6.94297i) q^{49} +(7.71357 + 13.2388i) q^{50} +(4.95686 + 3.95296i) q^{51} +(6.00161 + 8.65445i) q^{52} +(2.60542 + 11.4151i) q^{53} +(0.111277 + 1.40983i) q^{54} +(-1.23935 + 0.596837i) q^{55} +(-2.10132 - 7.18223i) q^{56} +(4.31138 + 2.07625i) q^{57} +(1.10187 - 2.84059i) q^{58} +(-2.99202 + 1.44088i) q^{59} +(7.38503 - 2.96623i) q^{60} +(-5.09500 - 1.16290i) q^{61} +(8.21763 + 1.20530i) q^{62} +(-0.463433 + 2.60485i) q^{63} +(5.13533 + 6.13420i) q^{64} +(-18.8791 + 9.09171i) q^{65} +(0.145950 + 0.466581i) q^{66} -9.75884i q^{67} +(-11.0312 - 6.25275i) q^{68} +(-8.08545 - 1.84545i) q^{69} +(14.7688 - 1.88723i) q^{70} +(-13.7640 + 3.14155i) q^{71} +(-0.662149 - 2.74983i) q^{72} +(-4.38715 + 3.49864i) q^{73} +(2.21499 - 5.71019i) q^{74} +(2.41086 + 10.5627i) q^{75} +(-9.16744 - 2.74834i) q^{76} +(0.0441855 + 0.913534i) q^{77} +(2.22328 + 7.10749i) q^{78} -6.54813i q^{79} +(-13.6565 + 8.17614i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(0.260007 - 0.384629i) q^{82} +(3.48060 + 4.36453i) q^{83} +(0.0980864 - 5.29059i) q^{84} +(15.7298 - 19.7245i) q^{85} +(0.728448 + 2.32874i) q^{86} +(1.34326 - 1.68439i) q^{87} +(-0.434681 - 0.875813i) q^{88} +(2.73247 - 2.17907i) q^{89} +(5.61004 - 0.442796i) q^{90} +(0.673084 + 13.9160i) q^{91} +(16.5497 + 1.10829i) q^{92} +(5.29131 + 2.54816i) q^{93} +(-2.08913 + 1.95391i) q^{94} +(8.26189 - 17.1560i) q^{95} +(2.17069 + 5.22380i) q^{96} +0.588002i q^{97} +(2.67267 - 9.53188i) q^{98} +0.345687i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9	\( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) 168 * q - 28 * q^3 + 2 * q^7 + 6 * q^8 - 28 * q^9 + 20 * q^10 - 12 * q^14 + 36 * q^16 + 12 * q^19 - 25 * q^20 + 2 * q^21 - 6 * q^22 - 15 * q^24 + 32 * q^25 + 6 * q^26 - 28 * q^27 - 66 * q^28 - 8 * q^30 - 4 * q^31 + 25 * q^32 - 68 * q^34 - 12 * q^35 - 10 * q^37 + 35 * q^38 + 14 * q^39 + 16 * q^40 + 9 * q^42 + 20 * q^44 - 28 * q^46 - 8 * q^47 + 8 * q^48 - 8 * q^49 + 114 * q^50 + 20 * q^52 - 8 * q^53 - q^56 + 12 * q^57 - 6 * q^58 + 20 * q^59 + 10 * q^60 - 14 * q^61 - 16 * q^62 - 12 * q^63 + 42 * q^64 - 8 * q^65 - 6 * q^66 - 16 * q^68 + 59 * q^70 + 28 * q^71 - 15 * q^72 + 22 * q^74 + 18 * q^75 + 7 * q^76 + 8 * q^77 + 6 * q^78 + 26 * q^80 - 28 * q^81 + 12 * q^82 + 10 * q^83 + 11 * q^84 - 24 * q^85 - 6 * q^86 - 242 * q^88 + 20 * q^90 - 16 * q^91 + 7 * q^92 - 4 * q^93 - 53 * q^94 - 10 * q^96 - 118 * q^98

Introduction

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