LMFDB - Embedded newform 17.3.e.a.3.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [17,3,Mod(3,17)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(17, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([1]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("17.3");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 17 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	17.e (of order $16$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.463216449413$
Analytic rank:	$0$
Dimension:	$8$
Coefficient field:	$\Q(\zeta_{16})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} + 1 $ x^8 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			3.1
Root			$0.923880 + 0.382683i$ of defining polynomial
Character	$\chi$	$=$	17.3
Dual form			17.3.e.a.6.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.23044 - 0.509666i) q^{2} +(-2.63099 - 0.523336i) q^{3} +(-1.57420 + 1.57420i) q^{4} +(0.902812 + 1.35115i) q^{5} +(-3.50400 + 0.696990i) q^{6} +(4.92562 - 7.37170i) q^{7} +(-3.17331 + 7.66104i) q^{8} +(-1.66671 - 0.690373i) q^{9} +O(q^{10})$	\(q+(1.23044 - 0.509666i) q^{2} +(-2.63099 - 0.523336i) q^{3} +(-1.57420 + 1.57420i) q^{4} +(0.902812 + 1.35115i) q^{5} +(-3.50400 + 0.696990i) q^{6} +(4.92562 - 7.37170i) q^{7} +(-3.17331 + 7.66104i) q^{8} +(-1.66671 - 0.690373i) q^{9} +(1.79949 + 1.20238i) q^{10} +(-1.61572 - 8.12279i) q^{11} +(4.96553 - 3.31786i) q^{12} +(16.1480 + 16.1480i) q^{13} +(2.30358 - 11.5809i) q^{14} +(-1.66818 - 4.02734i) q^{15} +2.13880i q^{16} +(-15.7060 + 6.50562i) q^{17} -2.40265 q^{18} +(-1.20778 + 0.500280i) q^{19} +(-3.54819 - 0.705778i) q^{20} +(-16.8171 + 16.8171i) q^{21} +(-6.12797 - 9.17115i) q^{22} +(-26.2400 + 5.21946i) q^{23} +(12.3582 - 18.4954i) q^{24} +(8.55654 - 20.6573i) q^{25} +(28.0993 + 11.6391i) q^{26} +(24.0978 + 16.1016i) q^{27} +(3.85063 + 19.3584i) q^{28} +(13.7583 - 9.19303i) q^{29} +(-4.10520 - 4.10520i) q^{30} +(2.68003 - 13.4734i) q^{31} +(-11.6032 - 28.0125i) q^{32} +22.2165i q^{33} +(-16.0096 + 16.0096i) q^{34} +14.4072 q^{35} +(3.71051 - 1.53694i) q^{36} +(18.9648 + 3.77234i) q^{37} +(-1.23113 + 1.23113i) q^{38} +(-34.0344 - 50.9361i) q^{39} +(-13.2161 + 2.62885i) q^{40} +(-14.6853 + 21.9781i) q^{41} +(-12.1214 + 29.2636i) q^{42} +(-21.8944 - 9.06895i) q^{43} +(15.3303 + 10.2434i) q^{44} +(-0.571923 - 2.87525i) q^{45} +(-29.6266 + 19.7959i) q^{46} +(26.8680 + 26.8680i) q^{47} +(1.11931 - 5.62714i) q^{48} +(-11.3288 - 27.3503i) q^{49} -29.7786i q^{50} +(44.7268 - 8.89671i) q^{51} -50.8404 q^{52} +(26.1557 - 10.8340i) q^{53} +(37.8574 + 7.53030i) q^{54} +(9.51644 - 9.51644i) q^{55} +(40.8445 + 61.1281i) q^{56} +(3.43947 - 0.684154i) q^{57} +(12.2435 - 18.3236i) q^{58} +(9.12070 - 22.0193i) q^{59} +(8.96587 + 3.71379i) q^{60} +(-42.9373 - 28.6898i) q^{61} +(-3.56932 - 17.9442i) q^{62} +(-13.2988 + 8.88596i) q^{63} +(-34.6035 - 34.6035i) q^{64} +(-7.23983 + 36.3971i) q^{65} +(11.3230 + 27.3362i) q^{66} +70.4415i q^{67} +(14.4831 - 34.9654i) q^{68} +71.7687 q^{69} +(17.7272 - 7.34286i) q^{70} +(-102.865 - 20.4612i) q^{71} +(10.5780 - 10.5780i) q^{72} +(19.7693 + 29.5868i) q^{73} +(25.2578 - 5.02408i) q^{74} +(-33.3228 + 49.8712i) q^{75} +(1.11375 - 2.68883i) q^{76} +(-67.8373 - 28.0991i) q^{77} +(-67.8377 - 45.3277i) q^{78} +(-1.41599 - 7.11865i) q^{79} +(-2.88984 + 1.93093i) q^{80} +(-43.4936 - 43.4936i) q^{81} +(-6.86792 + 34.5274i) q^{82} +(51.5218 + 124.385i) q^{83} -52.9469i q^{84} +(-22.9696 - 15.3478i) q^{85} -31.5619 q^{86} +(-41.0090 + 16.9865i) q^{87} +(67.3563 + 13.3980i) q^{88} +(38.6522 - 38.6522i) q^{89} +(-2.16914 - 3.24634i) q^{90} +(198.577 - 39.4995i) q^{91} +(33.0905 - 49.5234i) q^{92} +(-14.1023 + 34.0458i) q^{93} +(46.7533 + 19.3658i) q^{94} +(-1.76635 - 1.18024i) q^{95} +(15.8678 + 79.7729i) q^{96} +(65.9209 - 44.0470i) q^{97} +(-27.8790 - 27.8790i) q^{98} +(-2.91482 + 14.6538i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) $ 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9} + 16 q^{10} - 8 q^{11} + 48 q^{12} + 16 q^{13} + 8 q^{14} - 16 q^{15} + 56 q^{18} - 80 q^{20} - 64 q^{21} - 104 q^{22} - 56 q^{23} - 80 q^{24} + 64 q^{25} + 176 q^{26} + 40 q^{27} + 152 q^{28} + 48 q^{29} + 16 q^{30} + 24 q^{31} + 88 q^{32} - 136 q^{34} - 160 q^{35} - 128 q^{36} + 32 q^{37} - 120 q^{38} + 48 q^{39} + 64 q^{40} + 48 q^{41} + 16 q^{42} - 232 q^{43} + 120 q^{44} - 88 q^{46} + 192 q^{47} + 136 q^{48} + 16 q^{49} + 136 q^{51} - 384 q^{52} - 32 q^{53} + 8 q^{54} + 224 q^{55} - 120 q^{56} + 24 q^{57} + 240 q^{58} - 48 q^{59} + 64 q^{60} - 160 q^{61} - 168 q^{62} + 56 q^{63} - 64 q^{64} - 96 q^{65} - 8 q^{66} + 272 q^{68} + 240 q^{69} + 224 q^{70} + 40 q^{71} + 40 q^{72} + 48 q^{73} - 160 q^{74} - 296 q^{75} + 80 q^{76} - 48 q^{77} - 400 q^{78} - 136 q^{79} - 240 q^{80} - 424 q^{81} - 64 q^{82} - 264 q^{83} - 272 q^{85} + 832 q^{86} + 208 q^{87} + 264 q^{88} + 160 q^{89} + 448 q^{90} + 320 q^{91} + 24 q^{92} - 64 q^{93} + 32 q^{94} + 272 q^{95} - 56 q^{96} + 48 q^{97} - 120 q^{98} - 224 q^{99}+O(q^{100}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9 + 16 * q^10 - 8 * q^11 + 48 * q^12 + 16 * q^13 + 8 * q^14 - 16 * q^15 + 56 * q^18 - 80 * q^20 - 64 * q^21 - 104 * q^22 - 56 * q^23 - 80 * q^24 + 64 * q^25 + 176 * q^26 + 40 * q^27 + 152 * q^28 + 48 * q^29 + 16 * q^30 + 24 * q^31 + 88 * q^32 - 136 * q^34 - 160 * q^35 - 128 * q^36 + 32 * q^37 - 120 * q^38 + 48 * q^39 + 64 * q^40 + 48 * q^41 + 16 * q^42 - 232 * q^43 + 120 * q^44 - 88 * q^46 + 192 * q^47 + 136 * q^48 + 16 * q^49 + 136 * q^51 - 384 * q^52 - 32 * q^53 + 8 * q^54 + 224 * q^55 - 120 * q^56 + 24 * q^57 + 240 * q^58 - 48 * q^59 + 64 * q^60 - 160 * q^61 - 168 * q^62 + 56 * q^63 - 64 * q^64 - 96 * q^65 - 8 * q^66 + 272 * q^68 + 240 * q^69 + 224 * q^70 + 40 * q^71 + 40 * q^72 + 48 * q^73 - 160 * q^74 - 296 * q^75 + 80 * q^76 - 48 * q^77 - 400 * q^78 - 136 * q^79 - 240 * q^80 - 424 * q^81 - 64 * q^82 - 264 * q^83 - 272 * q^85 + 832 * q^86 + 208 * q^87 + 264 * q^88 + 160 * q^89 + 448 * q^90 + 320 * q^91 + 24 * q^92 - 64 * q^93 + 32 * q^94 + 272 * q^95 - 56 * q^96 + 48 * q^97 - 120 * q^98 - 224 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/17\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{1}{16}\right)$

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 $

$2$	1.23044	−	0.509666i	0.615221	−	0.254833i	−0.0532379	−	0.998582i	$-0.516954\pi$
$2$	1.23044	−	0.509666i	0.615221	−	0.254833i	0.668459	+	0.743749i	$0.266954\pi$
$3$	−2.63099	−	0.523336i	−0.876995	−	0.174445i	−0.263991	−	0.964525i	$-0.585039\pi$
$3$	−2.63099	−	0.523336i	−0.876995	−	0.174445i	−0.613004	+	0.790080i	$0.710039\pi$
$4$	−1.57420	+	1.57420i	−0.393549	+	0.393549i
$5$	0.902812	+	1.35115i	0.180562	+	0.270231i	0.910699	−	0.413070i	$-0.135544\pi$
$5$	0.902812	+	1.35115i	0.180562	+	0.270231i	−0.730137	+	0.683301i	$0.760544\pi$
$6$	−3.50400	+	0.696990i	−0.584001	+	0.116165i
$7$	4.92562	−	7.37170i	0.703659	−	1.05310i	−0.291666	−	0.956520i	$-0.594210\pi$
$7$	4.92562	−	7.37170i	0.703659	−	1.05310i	0.995325	−	0.0965803i	$-0.0307905\pi$
$8$	−3.17331	+	7.66104i	−0.396664	+	0.957631i
$9$	−1.66671	−	0.690373i	−0.185190	−	0.0767081i
$10$	1.79949	+	1.20238i	0.179949	+	0.120238i
$11$	−1.61572	−	8.12279i	−0.146884	−	0.738436i	−0.982077	−	0.188479i	$-0.939644\pi$
$11$	−1.61572	−	8.12279i	−0.146884	−	0.738436i	0.835193	−	0.549957i	$-0.185356\pi$
$12$	4.96553	−	3.31786i	0.413794	−	0.276488i
$13$	16.1480	+	16.1480i	1.24216	+	1.24216i	0.959105	+	0.283051i	$0.0913464\pi$
$13$	16.1480	+	16.1480i	1.24216	+	1.24216i	0.283051	+	0.959105i	$0.408654\pi$
$14$	2.30358	−	11.5809i	0.164541	−	0.827205i
$15$	−1.66818	−	4.02734i	−0.111212	−	0.268489i
$16$			2.13880i			0.133675i
$17$	−15.7060	+	6.50562i	−0.923880	+	0.382683i
$17$	−15.7060	+	6.50562i	−0.923880	+	0.382683i
$18$	−2.40265			−0.133480
$19$	−1.20778	+	0.500280i	−0.0635675	+	0.0263305i	−0.414241	−	0.910167i	$-0.635953\pi$
$19$	−1.20778	+	0.500280i	−0.0635675	+	0.0263305i	0.350673	+	0.936498i	$0.385953\pi$
$20$	−3.54819	−	0.705778i	−0.177409	−	0.0352889i
$21$	−16.8171	+	16.8171i	−0.800814	+	0.800814i
$22$	−6.12797	−	9.17115i	−0.278544	−	0.416870i
$23$	−26.2400	+	5.21946i	−1.14087	+	0.226933i	−0.729135	−	0.684370i	$-0.760077\pi$
$23$	−26.2400	+	5.21946i	−1.14087	+	0.226933i	−0.411735	+	0.911303i	$0.635077\pi$
$24$	12.3582	−	18.4954i	0.514926	−	0.770642i
$25$	8.55654	−	20.6573i	0.342262	−	0.826293i
$26$	28.0993	+	11.6391i	1.08074	+	0.447658i
$27$	24.0978	+	16.1016i	0.892510	+	0.596356i
$28$	3.85063	+	19.3584i	0.137522	+	0.691372i
$29$	13.7583	−	9.19303i	0.474425	−	0.317001i	−0.295268	−	0.955414i	$-0.595409\pi$
$29$	13.7583	−	9.19303i	0.474425	−	0.317001i	0.769694	+	0.638414i	$0.220409\pi$
$30$	−4.10520	−	4.10520i	−0.136840	−	0.136840i
$31$	2.68003	−	13.4734i	0.0864526	−	0.434627i	−0.913181	−	0.407555i	$-0.866382\pi$
$31$	2.68003	−	13.4734i	0.0864526	−	0.434627i	0.999633	−	0.0270721i	$-0.00861839\pi$
$32$	−11.6032	−	28.0125i	−0.362599	−	0.875391i
$33$			22.2165i			0.673228i
$34$	−16.0096	+	16.0096i	−0.470870	+	0.470870i
$35$	14.4072			0.411634
$36$	3.71051	−	1.53694i	0.103070	−	0.0426929i
$37$	18.9648	+	3.77234i	0.512563	+	0.101955i	0.444594	−	0.895732i	$-0.353348\pi$
$37$	18.9648	+	3.77234i	0.512563	+	0.101955i	0.0679693	+	0.997687i	$0.478348\pi$
$38$	−1.23113	+	1.23113i	−0.0323982	+	0.0323982i
$39$	−34.0344	−	50.9361i	−0.872677	−	1.30605i
$40$	−13.2161	+	2.62885i	−0.330404	+	0.0657214i
$41$	−14.6853	+	21.9781i	−0.358178	+	0.536051i	−0.966175	−	0.257888i	$-0.916973\pi$
$41$	−14.6853	+	21.9781i	−0.358178	+	0.536051i	0.607997	+	0.793939i	$0.291973\pi$
$42$	−12.1214	+	29.2636i	−0.288604	+	0.696752i
$43$	−21.8944	−	9.06895i	−0.509172	−	0.210906i	0.113281	−	0.993563i	$-0.463864\pi$
$43$	−21.8944	−	9.06895i	−0.509172	−	0.210906i	−0.622453	+	0.782657i	$0.713864\pi$
$44$	15.3303	+	10.2434i	0.348417	+	0.232805i
$45$	−0.571923	−	2.87525i	−0.0127094	−	0.0638945i
$46$	−29.6266	+	19.7959i	−0.644058	+	0.430345i
$47$	26.8680	+	26.8680i	0.571660	+	0.571660i	0.932592	−	0.360932i	$-0.117541\pi$
$47$	26.8680	+	26.8680i	0.571660	+	0.571660i	−0.360932	+	0.932592i	$0.617541\pi$
$48$	1.11931	−	5.62714i	0.0233189	−	0.117232i
$49$	−11.3288	−	27.3503i	−0.231201	−	0.558169i
$50$		−	29.7786i		−	0.595572i
$51$	44.7268	−	8.89671i	0.876995	−	0.174445i
$52$	−50.8404			−0.977699
$53$	26.1557	−	10.8340i	0.493503	−	0.204416i	−0.122031	−	0.992526i	$-0.538941\pi$
$53$	26.1557	−	10.8340i	0.493503	−	0.204416i	0.615533	+	0.788111i	$0.288941\pi$
$54$	37.8574	+	7.53030i	0.701062	+	0.139450i
$55$	9.51644	−	9.51644i	0.173026	−	0.173026i
$56$	40.8445	+	61.1281i	0.729365	+	1.09157i
$57$	3.43947	−	0.684154i	0.0603416	−	0.0120027i
$58$	12.2435	−	18.3236i	0.211094	−	0.315925i
$59$	9.12070	−	22.0193i	0.154588	−	0.373209i	−0.827544	−	0.561401i	$-0.810263\pi$
$59$	9.12070	−	22.0193i	0.154588	−	0.373209i	0.982132	+	0.188192i	$0.0602627\pi$
$60$	8.96587	+	3.71379i	0.149431	+	0.0618964i
$61$	−42.9373	−	28.6898i	−0.703890	−	0.470324i	0.151401	−	0.988472i	$-0.451622\pi$
$61$	−42.9373	−	28.6898i	−0.703890	−	0.470324i	−0.855291	+	0.518148i	$0.826622\pi$
$62$	−3.56932	−	17.9442i	−0.0575697	−	0.289423i
$63$	−13.2988	+	8.88596i	−0.211092	+	0.141047i
$64$	−34.6035	−	34.6035i	−0.540679	−	0.540679i
$65$	−7.23983	+	36.3971i	−0.111382	+	0.559955i
$66$	11.3230	+	27.3362i	0.171561	+	0.414184i
$67$			70.4415i			1.05137i	0.850681	+	0.525683i	$0.176190\pi$
$67$			70.4415i			1.05137i	−0.850681	+	0.525683i	$0.823810\pi$
$68$	14.4831	−	34.9654i	0.212987	−	0.514197i
$69$	71.7687			1.04013
$70$	17.7272	−	7.34286i	0.253246	−	0.104898i
$71$	−102.865	−	20.4612i	−1.44881	−	0.288185i	−0.592883	−	0.805289i	$-0.702010\pi$
$71$	−102.865	−	20.4612i	−1.44881	−	0.288185i	−0.855923	+	0.517104i	$0.827010\pi$
$72$	10.5780	−	10.5780i	0.146916	−	0.146916i
$73$	19.7693	+	29.5868i	0.270812	+	0.405299i	0.941802	−	0.336167i	$-0.109131\pi$
$73$	19.7693	+	29.5868i	0.270812	+	0.405299i	−0.670990	+	0.741466i	$0.734131\pi$
$74$	25.2578	−	5.02408i	0.341321	−	0.0678930i
$75$	−33.3228	+	49.8712i	−0.444305	+	0.664949i
$76$	1.11375	−	2.68883i	0.0146546	−	0.0353793i
$77$	−67.8373	−	28.0991i	−0.881003	−	0.364924i
$78$	−67.8377	−	45.3277i	−0.869715	−	0.581125i
$79$	−1.41599	−	7.11865i	−0.0179239	−	0.0901095i	0.970788	−	0.239939i	$-0.0771275\pi$
$79$	−1.41599	−	7.11865i	−0.0179239	−	0.0901095i	−0.988712	+	0.149830i	$0.952127\pi$
$80$	−2.88984	+	1.93093i	−0.0361230	+	0.0241366i
$81$	−43.4936	−	43.4936i	−0.536958	−	0.536958i
$82$	−6.86792	+	34.5274i	−0.0837551	+	0.421066i
$83$	51.5218	+	124.385i	0.620745	+	1.49861i	0.850830	+	0.525441i	$0.176099\pi$
$83$	51.5218	+	124.385i	0.620745	+	1.49861i	−0.230085	+	0.973170i	$0.573901\pi$
$84$		−	52.9469i		−	0.630320i
$85$	−22.9696	−	15.3478i	−0.270231	−	0.180562i
$86$	−31.5619			−0.366999
$87$	−41.0090	+	16.9865i	−0.471368	+	0.195247i
$88$	67.3563	+	13.3980i	0.765412	+	0.152250i
$89$	38.6522	−	38.6522i	0.434294	−	0.434294i	−0.455792	−	0.890086i	$-0.650644\pi$
$89$	38.6522	−	38.6522i	0.434294	−	0.434294i	0.890086	+	0.455792i	$0.150644\pi$
$90$	−2.16914	−	3.24634i	−0.0241015	−	0.0360705i
$91$	198.577	−	39.4995i	2.18217	−	0.434060i
$92$	33.0905	−	49.5234i	0.359679	−	0.538298i
$93$	−14.1023	+	34.0458i	−0.151637	+	0.366084i
$94$	46.7533	+	19.3658i	0.497375	+	0.206020i
$95$	−1.76635	−	1.18024i	−0.0185932	−	0.0124236i
$96$	15.8678	+	79.7729i	0.165290	+	0.830968i
$97$	65.9209	−	44.0470i	0.679597	−	0.454092i	−0.167260	−	0.985913i	$-0.553492\pi$
$97$	65.9209	−	44.0470i	0.679597	−	0.454092i	0.846857	+	0.531820i	$0.178492\pi$
$98$	−27.8790	−	27.8790i	−0.284480	−	0.284480i
$99$	−2.91482	+	14.6538i	−0.0294426	+	0.148018i
$100$	19.0490	+	45.9884i	0.190490	+	0.459884i
$101$		−	140.647i		−	1.39254i	−0.717779	−	0.696271i	$-0.754841\pi$
$101$		−	140.647i		−	1.39254i	0.717779	−	0.696271i	$-0.245159\pi$
$102$	50.4994	−	33.7426i	0.495092	−	0.330810i
$103$	−42.3283			−0.410954			−0.205477	−	0.978662i	$-0.565875\pi$
$103$	−42.3283			−0.410954			−0.205477	+	0.978662i	$0.565875\pi$
$104$	−174.953	+	72.4681i	−1.68224	+	0.696808i
$105$	−37.9052	−	7.53981i	−0.361002	−	0.0718077i
$106$	26.6613	−	26.6613i	0.251522	−	0.251522i
$107$	40.9741	+	61.3221i	0.382936	+	0.573104i	0.972000	−	0.234983i	$-0.0755034\pi$
$107$	40.9741	+	61.3221i	0.382936	+	0.573104i	−0.589064	+	0.808086i	$0.700503\pi$
$108$	−63.2818	+	12.5875i	−0.585942	+	0.116551i
$109$	−116.798	+	174.800i	−1.07154	+	1.60367i	−0.315770	+	0.948836i	$0.602263\pi$
$109$	−116.798	+	174.800i	−1.07154	+	1.60367i	−0.755770	+	0.654837i	$0.772737\pi$
$110$	6.85923	−	16.5596i	0.0623566	−	0.150542i
$111$	−47.9220	−	19.8500i	−0.431730	−	0.178828i
$112$	15.7666	+	10.5349i	0.140773	+	0.0940615i
$113$	−28.0222	−	140.877i	−0.247984	−	1.24670i	−0.881208	−	0.472729i	$-0.843269\pi$
$113$	−28.0222	−	140.877i	−0.247984	−	1.24670i	0.633224	−	0.773969i	$-0.281731\pi$
$114$	3.88338	−	2.59479i	0.0340648	−	0.0227613i
$115$	−30.7421	−	30.7421i	−0.267323	−	0.267323i
$116$	−7.18670	+	36.1300i	−0.0619543	+	0.311465i
$117$	−15.7659	−	38.0622i	−0.134751	−	0.325318i
$118$		−	31.7420i		−	0.269000i
$119$	−29.4040	+	147.824i	−0.247092	+	1.24222i
$120$	36.1473			0.301227
$121$	48.4202	−	20.0563i	0.400167	−	0.165755i
$122$	−67.4541	−	13.4175i	−0.552902	−	0.109979i
$123$	50.1387	−	50.1387i	0.407632	−	0.407632i
$124$	16.9909	+	25.4287i	0.137024	+	0.205070i
$125$	75.4810	−	15.0141i	0.603848	−	0.120113i
$126$	−11.8345	+	17.7116i	−0.0939247	+	0.140568i
$127$	41.4251	−	100.009i	0.326182	−	0.787472i	−0.672687	−	0.739927i	$-0.734860\pi$
$127$	41.4251	−	100.009i	0.326182	−	0.787472i	0.998869	−	0.0475454i	$-0.0151399\pi$
$128$	51.8363	+	21.4713i	0.404971	+	0.167744i
$129$	52.8577	+	35.3184i	0.409750	+	0.273786i
$130$	9.64216	+	48.4744i	0.0741705	+	0.372880i
$131$	−77.0656	+	51.4936i	−0.588287	+	0.393081i	−0.813788	−	0.581162i	$-0.802598\pi$
$131$	−77.0656	+	51.4936i	−0.588287	+	0.393081i	0.225501	+	0.974243i	$0.427598\pi$
$132$	−34.9732	−	34.9732i	−0.264948	−	0.264948i
$133$	−2.26116	+	11.3676i	−0.0170012	+	0.0854707i
$134$	35.9016	+	86.6742i	0.267923	+	0.646822i
$135$			47.0965i			0.348863i
$136$		−	140.968i		−	1.03653i
$137$	102.046			0.744863			0.372431	−	0.928060i	$-0.378524\pi$
$137$	102.046			0.744863			0.372431	+	0.928060i	$0.378524\pi$
$138$	88.3072	−	36.5780i	0.639907	−	0.265058i
$139$	30.2420	+	6.01550i	0.217568	+	0.0432770i	0.302671	−	0.953095i	$-0.402122\pi$
$139$	30.2420	+	6.01550i	0.217568	+	0.0432770i	−0.0851025	+	0.996372i	$0.527122\pi$
$140$	−22.6798	+	22.6798i	−0.161999	+	0.161999i
$141$	−56.6284	−	84.7504i	−0.401620	−	0.601067i
$142$	−136.998	+	27.2506i	−0.964775	+	0.191906i
$143$	105.076	−	157.258i	0.734799	−	1.09970i
$144$	1.47657	−	3.56475i	0.0102539	−	0.0247552i
$145$	24.8424	+	10.2900i	0.171327	+	0.0709659i
$146$	39.4044	+	26.3292i	0.269893	+	0.180337i
$147$	15.4927	+	77.8870i	0.105392	+	0.529843i
$148$	−35.7928	+	23.9160i	−0.241843	+	0.161595i
$149$	23.3099	+	23.3099i	0.156443	+	0.156443i	0.780988	−	0.624546i	$-0.214716\pi$
$149$	23.3099	+	23.3099i	0.156443	+	0.156443i	−0.624546	+	0.780988i	$0.714716\pi$
$150$	−15.5842	+	78.3471i	−0.103895	+	0.522314i
$151$	−53.9466	−	130.239i	−0.357262	−	0.862507i	−0.995683	−	0.0928198i	$-0.970412\pi$
$151$	−53.9466	−	130.239i	−0.357262	−	0.862507i	0.638421	−	0.769688i	$-0.279588\pi$
$152$		−	10.8404i		−	0.0713185i
$153$	30.6685			0.200448
$154$	−97.7910			−0.635006
$155$	20.6242	−	8.54284i	0.133060	−	0.0551151i
$156$	133.760	+	26.6066i	0.857438	+	0.170555i
$157$	−78.3942	+	78.3942i	−0.499326	+	0.499326i	−0.911228	−	0.411902i	$-0.864865\pi$
$157$	−78.3942	+	78.3942i	−0.499326	+	0.499326i	0.411902	+	0.911228i	$0.364865\pi$
$158$	−5.37042	−	8.03741i	−0.0339900	−	0.0508697i
$159$	−74.4850	+	14.8160i	−0.468459	+	0.0931823i
$160$	27.3737	−	40.9677i	0.171086	−	0.256048i
$161$	−90.7719	+	219.143i	−0.563800	+	1.36113i
$162$	−75.6835	−	31.3491i	−0.467182	−	0.193513i
$163$	−135.804	−	90.7416i	−0.833156	−	0.556697i	0.0642345	−	0.997935i	$-0.479539\pi$
$163$	−135.804	−	90.7416i	−0.833156	−	0.556697i	−0.897390	+	0.441238i	$0.854539\pi$
$164$	−11.4803	−	57.7154i	−0.0700019	−	0.351923i
$165$	−30.0179	+	20.0573i	−0.181927	+	0.121560i
$166$	126.789	+	126.789i	0.763791	+	0.763791i
$167$	32.5256	−	163.517i	0.194764	−	0.979145i	−0.752476	−	0.658620i	$-0.771141\pi$
$167$	32.5256	−	163.517i	0.194764	−	0.979145i	0.947240	−	0.320525i	$-0.103859\pi$
$168$	−75.4707	−	182.202i	−0.449230	−	1.08454i
$169$			352.517i			2.08590i
$170$	−36.0850	−	7.17776i	−0.212265	−	0.0422221i
$171$	2.35840			0.0137918
$172$	48.7424	−	20.1898i	0.283386	−	0.117382i
$173$	16.3948	+	3.26113i	0.0947676	+	0.0188504i	0.242246	−	0.970215i	$-0.422116\pi$
$173$	16.3948	+	3.26113i	0.0947676	+	0.0188504i	−0.147479	+	0.989065i	$0.547116\pi$
$174$	−41.8018	+	41.8018i	−0.240240	+	0.240240i
$175$	−110.133	−	164.826i	−0.629334	−	0.941864i
$176$	17.3730	−	3.45570i	0.0987102	−	0.0196347i
$177$	−35.5199	+	53.1594i	−0.200678	+	0.300335i
$178$	27.8596	−	67.2590i	0.156514	−	0.377859i
$179$	−35.7824	−	14.8215i	−0.199901	−	0.0828019i	0.280487	−	0.959858i	$-0.409504\pi$
$179$	−35.7824	−	14.8215i	−0.199901	−	0.0828019i	−0.480388	+	0.877056i	$0.659504\pi$
$180$	5.42654	+	3.62590i	0.0301474	+	0.0201439i
$181$	8.42674	+	42.3641i	0.0465566	+	0.234056i	0.997057	−	0.0766687i	$-0.0244284\pi$
$181$	8.42674	+	42.3641i	0.0465566	+	0.234056i	−0.950500	+	0.310724i	$0.899428\pi$
$182$	224.207	−	149.810i	1.23190	−	0.823132i
$183$	97.9531	+	97.9531i	0.535263	+	0.535263i
$184$	43.2811	−	217.589i	0.235223	−	1.18255i
$185$	12.0247	+	29.0301i	0.0649982	+	0.156920i
$186$			49.0789i			0.263865i
$187$	78.2203	+	117.065i	0.418290	+	0.626015i
$188$	−84.5912			−0.449953
$189$	237.393	−	98.3313i	1.25605	−	0.520271i
$190$	−2.77493	−	0.551967i	−0.0146049	−	0.00290509i
$191$	−107.196	+	107.196i	−0.561234	+	0.561234i	−0.929658	−	0.368424i	$-0.879898\pi$
$191$	−107.196	+	107.196i	−0.561234	+	0.561234i	0.368424	+	0.929658i	$0.379898\pi$
$192$	72.9320	+	109.151i	0.379854	+	0.568492i
$193$	−201.713	+	40.1233i	−1.04515	+	0.207893i	−0.687666	−	0.726028i	$-0.741364\pi$
$193$	−201.713	+	40.1233i	−1.04515	+	0.207893i	−0.357482	+	0.933920i	$0.616364\pi$
$194$	58.6627	−	87.7949i	0.302385	−	0.452551i
$195$	38.0958	−	91.9714i	0.195363	−	0.471648i
$196$	60.8886	+	25.2209i	0.310656	+	0.128678i
$197$	116.416	+	77.7868i	0.590945	+	0.394857i	0.814780	−	0.579770i	$-0.196858\pi$
$197$	116.416	+	77.7868i	0.590945	+	0.394857i	−0.223835	+	0.974627i	$0.571858\pi$
$198$	3.88201	+	19.5162i	0.0196061	+	0.0985667i
$199$	−123.283	+	82.3749i	−0.619511	+	0.413944i	−0.825334	−	0.564645i	$-0.809013\pi$
$199$	−123.283	+	82.3749i	−0.619511	+	0.413944i	0.205823	+	0.978589i	$0.434013\pi$
$200$	131.104	+	131.104i	0.655520	+	0.655520i
$201$	36.8645	−	185.331i	0.183406	−	0.922043i
$202$	−71.6828	−	173.058i	−0.354865	−	0.856721i
$203$		−	146.704i		−	0.722678i
$204$	−56.4036	+	84.4140i	−0.276488	+	0.413794i
$205$	−42.9538			−0.209531
$206$	−52.0825	+	21.5733i	−0.252828	+	0.104725i
$207$	47.3378	+	9.41607i	0.228685	+	0.0454883i
$208$	−34.5373	+	34.5373i	−0.166045	+	0.166045i
$209$	6.01511	+	9.00225i	0.0287804	+	0.0430730i
$210$	−50.4829	+	10.0417i	−0.240395	+	0.0478175i
$211$	113.713	−	170.184i	0.538925	−	0.806559i	−0.457660	−	0.889127i	$-0.651312\pi$
$211$	113.713	−	170.184i	0.538925	−	0.806559i	0.996585	+	0.0825683i	$0.0263123\pi$
$212$	−24.1193	+	58.2291i	−0.113770	+	0.274665i
$213$	259.929	+	107.666i	1.22032	+	0.505474i
$214$	81.6701	+	54.5702i	0.381636	+	0.255001i
$215$	−7.51296	−	37.7702i	−0.0349440	−	0.175675i
$216$	−199.825	+	133.519i	−0.925115	+	0.618142i
$217$	−86.1213	−	86.1213i	−0.396872	−	0.396872i
$218$	−54.6233	+	274.610i	−0.250565	+	1.25968i
$219$	−36.5289	−	88.1885i	−0.166799	−	0.402687i
$220$			29.9615i			0.136189i
$221$	−358.673	−	148.567i	−1.62295	−	0.672250i
$222$	−69.0821			−0.311181
$223$	−107.408	+	44.4897i	−0.481649	+	0.199506i	−0.610278	−	0.792187i	$-0.708942\pi$
$223$	−107.408	+	44.4897i	−0.481649	+	0.199506i	0.128629	+	0.991693i	$0.458942\pi$
$224$	−263.653	−	52.4438i	−1.17702	−	0.234124i
$225$	−28.5225	+	28.5225i	−0.126767	+	0.126767i
$226$	−106.280	−	159.059i	−0.470265	−	0.703801i
$227$	−150.469	+	29.9302i	−0.662859	+	0.131851i	−0.515044	−	0.857164i	$-0.672224\pi$
$227$	−150.469	+	29.9302i	−0.662859	+	0.131851i	−0.147816	+	0.989015i	$0.547224\pi$
$228$	−4.33742	+	6.49140i	−0.0190238	+	0.0284711i
$229$	3.69064	−	8.91000i	0.0161164	−	0.0389083i	−0.915617	−	0.402053i	$-0.868297\pi$
$229$	3.69064	−	8.91000i	0.0161164	−	0.0389083i	0.931733	+	0.363144i	$0.118297\pi$
$230$	−53.4946	−	22.1582i	−0.232585	−	0.0963399i
$231$	163.774	+	109.430i	0.708977	+	0.473723i
$232$	26.7687	+	134.576i	0.115382	+	0.580067i
$233$	324.315	−	216.700i	1.39191	−	0.930044i	0.391960	−	0.919982i	$-0.371797\pi$
$233$	324.315	−	216.700i	1.39191	−	0.930044i	0.999949	−	0.0100614i	$-0.00320271\pi$
$234$	−38.7980	−	38.7980i	−0.165803	−	0.165803i
$235$	−12.0461	+	60.5596i	−0.0512598	+	0.257700i
$236$	20.3050	+	49.0206i	0.0860381	+	0.207714i
$237$			19.4701i			0.0821523i
$238$	39.1609	+	196.875i	0.164541	+	0.827205i
$239$	372.281			1.55766			0.778831	−	0.627233i	$-0.215813\pi$
$239$	372.281			1.55766			0.778831	+	0.627233i	$0.215813\pi$
$240$	8.61365	−	3.56789i	0.0358902	−	0.0148662i
$241$	136.315	+	27.1147i	0.565621	+	0.112509i	0.469614	−	0.882872i	$-0.344393\pi$
$241$	136.315	+	27.1147i	0.565621	+	0.112509i	0.0960065	+	0.995381i	$0.469393\pi$
$242$	49.3563	−	49.3563i	0.203952	−	0.203952i
$243$	−53.2453	−	79.6872i	−0.219116	−	0.327931i
$244$	112.755	−	22.4284i	0.462111	−	0.0919197i
$245$	26.7266	−	39.9992i	0.109088	−	0.163262i
$246$	36.1388	−	87.2468i	0.146906	−	0.354662i
$247$	−27.5818	−	11.4248i	−0.111667	−	0.0462541i
$248$	94.7160	+	63.2872i	0.381919	+	0.255190i
$249$	−70.4583	−	354.218i	−0.282965	−	1.42256i
$250$	85.2228	−	56.9441i	0.340891	−	0.227776i
$251$	154.052	+	154.052i	0.613754	+	0.613754i	0.943922	−	0.330168i	$-0.107106\pi$
$251$	154.052	+	154.052i	0.613754	+	0.613754i	−0.330168	+	0.943922i	$0.607106\pi$
$252$	6.94665	−	34.9232i	0.0275661	−	0.138584i
$253$	84.7932	+	204.709i	0.335151	+	0.809126i
$254$		−	144.168i		−	0.567591i
$255$	52.4007	+	52.4007i	0.205493	+	0.205493i
$256$	270.472			1.05653
$257$	−391.977	+	162.362i	−1.52520	+	0.631760i	−0.978626	−	0.205648i	$-0.934070\pi$
$257$	−391.977	+	162.362i	−1.52520	+	0.631760i	−0.546578	+	0.837408i	$0.684070\pi$
$258$	83.0389	+	16.5175i	0.321856	+	0.0640212i
$259$	121.222	−	121.222i	0.468039	−	0.468039i
$260$	−45.8993	−	68.6931i	−0.176536	−	0.264204i
$261$	−29.2777	+	5.82370i	−0.112175	+	0.0223130i
$262$	−68.5803	+	102.638i	−0.261757	+	0.391747i
$263$	−54.7003	+	132.058i	−0.207986	+	0.502122i	−0.993106	−	0.117221i	$-0.962601\pi$
$263$	−54.7003	+	132.058i	−0.207986	+	0.502122i	0.785120	+	0.619344i	$0.212601\pi$
$264$	−170.202	−	70.4999i	−0.644704	−	0.267045i
$265$	38.2521	+	25.5592i	0.144347	+	0.0964499i
$266$	3.01146	+	15.1396i	0.0113213	+	0.0569158i
$267$	−121.921	+	81.4652i	−0.456634	+	0.305113i
$268$	−110.889	−	110.889i	−0.413764	−	0.413764i
$269$	8.93614	−	44.9250i	0.0332199	−	0.167008i	−0.960614	−	0.277886i	$-0.910366\pi$
$269$	8.93614	−	44.9250i	0.0332199	−	0.167008i	0.993834	+	0.110878i	$0.0353663\pi$
$270$	24.0035	+	57.9495i	0.0889018	+	0.214628i
$271$		−	329.809i		−	1.21701i	−0.793550	−	0.608504i	$-0.791770\pi$
$271$		−	329.809i		−	1.21701i	0.793550	−	0.608504i	$-0.208230\pi$
$272$	−13.9142	−	33.5918i	−0.0511551	−	0.123499i
$273$	−543.126			−1.98947
$274$	125.562	−	52.0095i	0.458255	−	0.189816i
$275$	−181.620	−	36.1265i	−0.660437	−	0.131369i
$276$	−112.978	+	112.978i	−0.409341	+	0.409341i
$277$	156.783	+	234.642i	0.566002	+	0.847082i	0.998511	−	0.0545479i	$-0.0173717\pi$
$277$	156.783	+	234.642i	0.566002	+	0.847082i	−0.432509	+	0.901629i	$0.642372\pi$
$278$	40.2769	−	8.01157i	0.144881	−	0.0288186i
$279$	−13.7685	+	20.6060i	−0.0493495	+	0.0738568i
$280$	−45.7185	+	110.374i	−0.163280	+	0.394194i
$281$	141.231	+	58.4999i	0.502603	+	0.208185i	0.619556	−	0.784953i	$-0.287313\pi$
$281$	141.231	+	58.4999i	0.502603	+	0.208185i	−0.116953	+	0.993137i	$0.537313\pi$
$282$	−112.872	−	75.4189i	−0.400257	−	0.267443i
$283$	62.0182	+	311.786i	0.219145	+	1.10172i	0.921049	+	0.389447i	$0.127334\pi$
$283$	62.0182	+	311.786i	0.219145	+	1.10172i	−0.701904	+	0.712272i	$0.747666\pi$
$284$	194.140	−	129.720i	0.683592	−	0.456761i
$285$	4.02959	+	4.02959i	0.0141389	+	0.0141389i
$286$	49.1414	−	247.050i	0.171823	−	0.863813i
$287$	89.6819	+	216.511i	0.312480	+	0.754395i
$288$			54.6992i			0.189928i
$289$	204.354	−	204.354i	0.707107	−	0.707107i
$290$	35.8116			0.123488
$291$	−196.488	+	81.3882i	−0.675218	+	0.279684i
$292$	−77.6963	−	15.4548i	−0.266083	−	0.0529272i
$293$	−27.2633	+	27.2633i	−0.0930488	+	0.0930488i	−0.752099	−	0.659050i	$-0.770958\pi$
$293$	−27.2633	+	27.2633i	−0.0930488	+	0.0930488i	0.659050	+	0.752099i	$0.270958\pi$
$294$	58.7592	+	87.9393i	0.199861	+	0.299113i
$295$	37.9858	−	7.55584i	0.128765	−	0.0256130i
$296$	−89.0814	+	133.320i	−0.300951	+	0.450404i
$297$	91.8547	−	221.757i	0.309275	−	0.746656i
$298$	40.5618	+	16.8013i	0.136114	+	0.0563801i
$299$	−508.008	−	339.440i	−1.69902	−	1.13525i
$300$	−26.0503	−	130.964i	−0.0868344	−	0.436546i
$301$	−174.697	+	116.729i	−0.580388	+	0.387803i
$302$	−132.756	−	132.756i	−0.439591	−	0.439591i
$303$	−73.6054	+	370.039i	−0.242922	+	1.22125i
$304$	−1.07000	−	2.58320i	−0.00351972	−	0.00849736i
$305$		−	83.9164i		−	0.275136i
$306$	37.7359	−	15.6307i	0.123320	−	0.0510807i
$307$	−4.80965			−0.0156666			−0.00783330	−	0.999969i	$-0.502493\pi$
$307$	−4.80965			−0.0156666			−0.00783330	+	0.999969i	$0.502493\pi$
$308$	151.023	−	62.5557i	0.490334	−	0.203103i
$309$	111.365	+	22.1519i	0.360405	+	0.0716890i
$310$	21.0229	−	21.0229i	0.0678159	−	0.0678159i
$311$	267.024	+	399.630i	0.858598	+	1.28498i	0.957074	+	0.289843i	$0.0936031\pi$
$311$	267.024	+	399.630i	0.858598	+	1.28498i	−0.0984763	+	0.995139i	$0.531397\pi$
$312$	498.225	−	99.1031i	1.59688	−	0.317638i
$313$	−49.2742	+	73.7441i	−0.157426	+	0.235604i	−0.901795	−	0.432164i	$-0.857750\pi$
$313$	−49.2742	+	73.7441i	−0.157426	+	0.235604i	0.744369	+	0.667768i	$0.232750\pi$
$314$	−56.5047	+	136.414i	−0.179951	+	0.434441i
$315$	−24.0126	−	9.94634i	−0.0762305	−	0.0315757i
$316$	13.4352	+	8.97712i	0.0425165	+	0.0284086i
$317$	−23.4692	−	117.988i	−0.0740353	−	0.372201i	0.925950	−	0.377647i	$-0.123267\pi$
$317$	−23.4692	−	117.988i	−0.0740353	−	0.372201i	−0.999985	+	0.00544574i	$0.998267\pi$
$318$	−84.0983	+	56.1927i	−0.264460	+	0.176707i
$319$	−96.9027	−	96.9027i	−0.303770	−	0.303770i
$320$	15.5142	−	77.9950i	0.0484818	−	0.243734i
$321$	−75.7103	−	182.781i	−0.235858	−	0.569411i
$322$			315.906i			0.981074i
$323$	15.7147	−	15.7147i	0.0486524	−	0.0486524i
$324$	136.935			0.422639
$325$	471.746	−	195.404i	1.45153	−	0.601242i
$326$	−213.347	−	42.4374i	−0.654440	−	0.130176i
$327$	398.773	−	398.773i	1.21949	−	1.21949i
$328$	−121.774	−	182.248i	−0.371263	−	0.555634i
$329$	330.405	−	65.7216i	1.00427	−	0.199762i
$330$	−26.7128	+	39.9785i	−0.0809478	+	0.121147i
$331$	38.9023	−	93.9184i	0.117530	−	0.283741i	−0.854157	−	0.520015i	$-0.825926\pi$
$331$	38.9023	−	93.9184i	0.117530	−	0.283741i	0.971687	+	0.236274i	$0.0759262\pi$
$332$	−276.912	−	114.701i	−0.834071	−	0.345484i
$333$	−29.0045	−	19.3802i	−0.0871006	−	0.0581988i
$334$	−43.3183	−	217.776i	−0.129695	−	0.652023i
$335$	−95.1772	+	63.5954i	−0.284111	+	0.189837i
$336$	−35.9683	−	35.9683i	−0.107049	−	0.107049i
$337$	−107.223	+	539.044i	−0.318168	+	1.59954i	0.408639	+	0.912696i	$0.366004\pi$
$337$	−107.223	+	539.044i	−0.318168	+	1.59954i	−0.726807	+	0.686842i	$0.758996\pi$
$338$	179.666	+	433.752i	0.531556	+	1.28329i
$339$			385.310i			1.13661i
$340$	60.3192	−	11.9982i	0.177409	−	0.0352889i
$341$	−113.772			−0.333642
$342$	2.90187	−	1.20200i	0.00848501	−	0.00351461i
$343$	168.661	+	33.5487i	0.491722	+	0.0978097i
$344$	138.955	−	138.955i	0.403940	−	0.403940i
$345$	64.7936	+	96.9704i	0.187807	+	0.281074i
$346$	21.8349	−	4.34324i	0.0631067	−	0.0125527i
$347$	141.826	−	212.258i	0.408722	−	0.611695i	−0.568814	−	0.822466i	$-0.692597\pi$
$347$	141.826	−	212.258i	0.408722	−	0.611695i	0.977535	+	0.210771i	$0.0675975\pi$
$348$	37.8162	−	91.2964i	0.108667	−	0.262346i
$349$	−513.215	−	212.580i	−1.47053	−	0.609113i	−0.503549	−	0.863967i	$-0.667973\pi$
$349$	−513.215	−	212.580i	−1.47053	−	0.609113i	−0.966980	+	0.254854i	$0.917973\pi$
$350$	−219.519	−	146.678i	−0.627198	−	0.419080i
$351$	129.122	+	649.141i	0.367869	+	1.84940i
$352$	−208.792	+	139.511i	−0.593160	+	0.396337i
$353$	−408.644	−	408.644i	−1.15763	−	1.15763i	−0.984984	−	0.172648i	$-0.944768\pi$
$353$	−408.644	−	408.644i	−1.15763	−	1.15763i	−0.172648	−	0.984984i	$-0.555232\pi$
$354$	−16.6117	+	83.5128i	−0.0469258	+	0.235912i
$355$	−65.2217	−	157.459i	−0.183723	−	0.443547i
$356$			121.692i			0.341832i
$357$	154.723	−	373.534i	0.433398	−	1.04631i
$358$	−51.5822			−0.144084
$359$	−159.526	+	66.0778i	−0.444362	+	0.184061i	−0.593634	−	0.804735i	$-0.702307\pi$
$359$	−159.526	+	66.0778i	−0.444362	+	0.184061i	0.149272	+	0.988796i	$0.452307\pi$
$360$	23.8423	+	4.74254i	0.0662287	+	0.0131737i
$361$	−254.057	+	254.057i	−0.703759	+	0.703759i
$362$	31.9602	+	47.8317i	0.0882877	+	0.132132i
$363$	−137.889	+	27.4279i	−0.379860	+	0.0755588i
$364$	−250.420	+	374.780i	−0.687967	+	1.02962i
$365$	−22.1284	+	53.4227i	−0.0606257	+	0.146363i
$366$	170.449	+	70.6023i	0.465708	+	0.192902i
$367$	−16.9759	−	11.3429i	−0.0462558	−	0.0309071i	0.532227	−	0.846601i	$-0.321355\pi$
$367$	−16.9759	−	11.3429i	−0.0462558	−	0.0309071i	−0.578483	+	0.815694i	$0.696355\pi$
$368$	−11.1634	−	56.1220i	−0.0303352	−	0.152505i
$369$	39.6492	−	26.4927i	0.107450	−	0.0717960i
$370$	29.5913	+	29.5913i	0.0799766	+	0.0799766i
$371$	48.9675	−	246.176i	0.131988	−	0.663547i
$372$	−31.3952	−	75.7946i	−0.0843956	−	0.203749i
$373$		−	690.960i		−	1.85244i	−0.376983	−	0.926220i	$-0.623039\pi$
$373$		−	690.960i		−	1.85244i	0.376983	−	0.926220i	$-0.376961\pi$
$374$	155.910	+	104.175i	0.416870	+	0.278544i
$375$	−206.447			−0.550525
$376$	−291.098	+	120.577i	−0.774196	+	0.320682i
$377$	370.619	+	73.7207i	0.983075	+	0.195546i
$378$	241.982	−	241.982i	0.640164	−	0.640164i
$379$	−97.1405	−	145.381i	−0.256308	−	0.383591i	0.680893	−	0.732383i	$-0.261592\pi$
$379$	−97.1405	−	145.381i	−0.256308	−	0.383591i	−0.937200	+	0.348792i	$0.886592\pi$
$380$	4.63852	−	0.922659i	0.0122066	−	0.00242805i
$381$	−161.327	+	241.443i	−0.423431	+	0.633709i
$382$	−77.2642	+	186.532i	−0.202262	+	0.488304i
$383$	440.512	+	182.466i	1.15016	+	0.476412i	0.874588	−	0.484868i	$-0.161132\pi$
$383$	440.512	+	182.466i	1.15016	+	0.476412i	0.275574	+	0.961280i	$0.411132\pi$
$384$	−125.144	−	83.6184i	−0.325895	−	0.217756i
$385$	−23.2781	−	117.027i	−0.0604625	−	0.303966i
$386$	−227.747	+	152.176i	−0.590019	+	0.394238i
$387$	30.2306	+	30.2306i	0.0781151	+	0.0781151i
$388$	−34.4340	+	173.111i	−0.0887473	+	0.446163i
$389$	84.5808	+	204.196i	0.217431	+	0.524926i	0.994530	−	0.104453i	$-0.0333092\pi$
$389$	84.5808	+	204.196i	0.217431	+	0.524926i	−0.777098	+	0.629379i	$0.783309\pi$
$390$		−	132.582i		−	0.339953i
$391$	378.169	−	252.684i	0.967183	−	0.646251i
$392$	245.482			0.626228
$393$	229.707	−	95.1478i	0.584496	−	0.242106i
$394$	182.889	+	36.3788i	0.464184	+	0.0923320i
$395$	8.34002	−	8.34002i	0.0211140	−	0.0211140i
$396$	−18.4794	−	27.6564i	−0.0466652	−	0.0698395i
$397$	−118.666	+	23.6042i	−0.298908	+	0.0594565i	−0.342266	−	0.939603i	$-0.611194\pi$
$397$	−118.666	+	23.6042i	−0.298908	+	0.0594565i	0.0433581	+	0.999060i	$0.486194\pi$
$398$	−109.709	+	164.191i	−0.275650	+	0.412539i
$399$	11.8981	−	28.7246i	0.0298199	−	0.0719916i
$400$	44.1818	+	18.3007i	0.110454	+	0.0457517i
$401$	434.146	+	290.087i	1.08266	+	0.723409i	0.963026	−	0.269409i	$-0.0868282\pi$
$401$	434.146	+	290.087i	1.08266	+	0.723409i	0.119633	+	0.992818i	$0.461828\pi$
$402$	−49.0970	−	246.827i	−0.122132	−	0.613998i
$403$	260.846	−	174.292i	0.647262	−	0.432486i
$404$	221.406	+	221.406i	0.548034	+	0.548034i
$405$	19.5000	−	98.0330i	0.0481481	−	0.242057i
$406$	−74.7699	−	180.510i	−0.184162	−	0.444607i
$407$		−	160.142i		−	0.393471i
$408$	−73.7738	+	370.886i	−0.180818	+	0.909034i
$409$	136.013			0.332550			0.166275	−	0.986079i	$-0.446826\pi$
$409$	136.013			0.332550			0.166275	+	0.986079i	$0.446826\pi$
$410$	−52.8522	+	21.8921i	−0.128908	+	0.0533954i
$411$	−268.482	−	53.4044i	−0.653241	−	0.129938i
$412$	66.6331	−	66.6331i	0.161731	−	0.161731i
$413$	−117.395	−	175.694i	−0.284249	−	0.425409i
$414$	63.0455	−	12.5405i	0.152284	−	0.0302911i
$415$	−121.548	+	181.910i	−0.292887	+	0.438337i
$416$	264.979	−	639.715i	0.636968	−	1.53778i
$417$	−76.4181	−	31.6534i	−0.183257	−	0.0759074i
$418$	11.9894	+	8.01105i	0.0286827	+	0.0191652i
$419$	73.0669	+	367.332i	0.174384	+	0.876687i	0.964571	+	0.263822i	$0.0849832\pi$
$419$	73.0669	+	367.332i	0.174384	+	0.876687i	−0.790187	+	0.612865i	$0.790017\pi$
$420$	71.5394	−	47.8011i	0.170332	−	0.113812i
$421$	−273.997	−	273.997i	−0.650824	−	0.650824i	0.302367	−	0.953192i	$-0.402223\pi$
$421$	−273.997	−	273.997i	−0.650824	−	0.650824i	−0.953192	+	0.302367i	$0.902223\pi$
$422$	53.1807	−	267.357i	0.126021	−	0.633548i
$423$	−26.2322	−	63.3301i	−0.0620146	−	0.149716i
$424$			234.759i			0.553678i
$425$			380.108i			0.894373i
$426$	374.701			0.879580
$427$	−422.985	+	175.206i	−0.990598	+	0.410319i
$428$	−161.034	−	32.0318i	−0.376249	−	0.0748405i
$429$	−358.753	+	358.753i	−0.836254	+	0.836254i
$430$	−28.4945	−	42.6450i	−0.0662662	−	0.0991744i
$431$	67.5084	−	13.4283i	0.156632	−	0.0311561i	−0.116151	−	0.993232i	$-0.537056\pi$
$431$	67.5084	−	13.4283i	0.156632	−	0.0311561i	0.272783	+	0.962075i	$0.412056\pi$
$432$	−34.4381	+	51.5402i	−0.0797177	+	0.119306i
$433$	−104.262	+	251.710i	−0.240790	+	0.581317i	−0.997362	−	0.0725929i	$-0.976873\pi$
$433$	−104.262	+	251.710i	−0.240790	+	0.581317i	0.756572	+	0.653910i	$0.226873\pi$
$434$	−149.860	−	62.0742i	−0.345301	−	0.143028i
$435$	−59.9748	−	40.0739i	−0.137873	−	0.0921239i
$436$	−91.3074	−	459.033i	−0.209421	−	1.05283i
$437$	29.0810	−	19.4313i	0.0665470	−	0.0444653i
$438$	−89.8934	−	89.8934i	−0.205236	−	0.205236i
$439$	−28.7213	+	144.392i	−0.0654244	+	0.328910i	−0.999611	−	0.0278730i	$-0.991127\pi$
$439$	−28.7213	+	144.392i	−0.0654244	+	0.328910i	0.934187	+	0.356783i	$0.116127\pi$
$440$	42.7073	+	103.105i	0.0970620	+	0.234328i
$441$			53.4060i			0.121102i
$442$	−517.046			−1.16979
$443$	−619.331			−1.39804			−0.699019	−	0.715103i	$-0.746380\pi$
$443$	−619.331			−1.39804			−0.699019	+	0.715103i	$0.746380\pi$
$444$	106.687	−	44.1910i	0.240285	−	0.0995293i
$445$	87.1206	+	17.3294i	0.195777	+	0.0389424i
$446$	−109.484	+	109.484i	−0.245480	+	0.245480i
$447$	−49.1292	−	73.5271i	−0.109909	−	0.164490i
$448$	−425.530	+	84.6432i	−0.949844	+	0.188936i
$449$	348.576	−	521.681i	0.776339	−	1.16187i	−0.206687	−	0.978407i	$-0.566268\pi$
$449$	348.576	−	521.681i	0.776339	−	1.16187i	0.983026	−	0.183466i	$-0.0587318\pi$
$450$	−20.5583	+	49.6322i	−0.0456852	+	0.110294i
$451$	202.251	+	83.7750i	0.448450	+	0.185754i
$452$	265.880	+	177.656i	0.588231	+	0.393043i
$453$	73.7743	+	370.888i	0.162857	+	0.818738i
$454$	−169.889	+	113.516i	−0.374205	+	0.250036i
$455$	232.648	+	232.648i	0.511314	+	0.511314i
$456$	−5.67318	+	28.5210i	−0.0124412	+	0.0625460i
$457$	−52.9634	−	127.865i	−0.115894	−	0.279792i	0.855280	−	0.518167i	$-0.173385\pi$
$457$	−52.9634	−	127.865i	−0.115894	−	0.279792i	−0.971173	+	0.238375i	$0.923385\pi$
$458$		−	12.8442i		−	0.0280442i
$459$	−483.229	−	96.1203i	−1.05279	−	0.209412i
$460$	96.7883			0.210409
$461$	−135.609	+	56.1709i	−0.294162	+	0.121846i	−0.524884	−	0.851174i	$-0.675891\pi$
$461$	−135.609	+	56.1709i	−0.294162	+	0.121846i	0.230722	+	0.973020i	$0.425891\pi$
$462$	257.287	+	51.1775i	0.556898	+	0.110774i
$463$	522.332	−	522.332i	1.12815	−	1.12815i	0.137669	−	0.990478i	$-0.456039\pi$
$463$	522.332	−	522.332i	1.12815	−	1.12815i	0.990478	−	0.137669i	$-0.0439609\pi$
$464$	19.6620	+	29.4263i	0.0423750	+	0.0634187i
$465$	−58.7328	+	11.6827i	−0.126307	+	0.0251241i
$466$	288.606	−	431.929i	0.619326	−	0.926887i
$467$	−2.92741	+	7.06740i	−0.00626855	+	0.0151336i	−0.926983	−	0.375104i	$-0.877607\pi$
$467$	−2.92741	+	7.06740i	−0.00626855	+	0.0151336i	0.920714	+	0.390237i	$0.127607\pi$
$468$	84.7360	+	35.0988i	0.181060	+	0.0749974i
$469$	519.274	+	346.968i	1.10719	+	0.739803i
$470$	16.0432	+	80.6546i	0.0341344	+	0.171605i
$471$	247.281	−	165.228i	0.525012	−	0.350802i
$472$	139.748	+	139.748i	0.296077	+	0.296077i
$473$	−38.2899	+	192.496i	−0.0809512	+	0.406969i
$474$	9.92325	+	23.9568i	0.0209351	+	0.0505419i
$475$			29.2302i			0.0615372i
$476$	−186.416	−	278.992i	−0.391631	−	0.586117i
$477$	−51.0733			−0.107072
$478$	458.071	−	189.739i	0.958307	−	0.396944i
$479$	−742.358	−	147.664i	−1.54981	−	0.308276i	−0.655314	−	0.755357i	$-0.727464\pi$
$479$	−742.358	−	147.664i	−1.54981	−	0.308276i	−0.894493	+	0.447081i	$0.852464\pi$
$480$	−93.4598	+	93.4598i	−0.194708	+	0.194708i
$481$	245.329	+	367.160i	0.510039	+	0.763327i
$482$	181.547	−	36.1119i	0.376653	−	0.0749209i
$483$	353.505	−	529.057i	0.731894	−	1.09536i
$484$	−44.6504	+	107.796i	−0.0922529	+	0.222718i
$485$	119.028	+	49.3032i	0.245419	+	0.101656i
$486$	−106.129	−	70.9132i	−0.218373	−	0.145912i
$487$	1.72321	+	8.66318i	0.00353843	+	0.0177889i	0.982514	−	0.186188i	$-0.0596133\pi$
$487$	1.72321	+	8.66318i	0.00353843	+	0.0177889i	−0.978976	+	0.203977i	$0.934613\pi$
$488$	356.047	−	237.903i	0.729605	−	0.487506i
$489$	309.811	+	309.811i	0.633561	+	0.633561i
$490$	12.4993	−	62.8383i	0.0255088	−	0.128241i
$491$	−224.608	−	542.252i	−0.457450	−	1.10438i	−0.969426	−	0.245383i	$-0.921086\pi$
$491$	−224.608	−	542.252i	−0.457450	−	1.10438i	0.511976	−	0.859000i	$-0.328914\pi$
$492$			157.857i			0.320847i
$493$	−156.281	+	233.892i	−0.317001	+	0.474425i
$494$	−39.7607			−0.0804871
$495$	−22.4310	+	9.29123i	−0.0453152	+	0.0187702i
$496$	28.8169	+	5.73204i	0.0580986	+	0.0115565i
$497$	−657.508	+	657.508i	−1.32295	+	1.32295i
$498$	−267.228	−	399.934i	−0.536602	−	0.803081i
$499$	−109.936	+	21.8676i	−0.220312	+	0.0438229i	−0.304012	−	0.952668i	$-0.598326\pi$
$499$	−109.936	+	21.8676i	−0.220312	+	0.0438229i	0.0836997	+	0.996491i	$0.473326\pi$
$500$	−95.1868	+	142.457i	−0.190374	+	0.284914i
$501$	−171.149	+	413.190i	−0.341614	+	0.824730i
$502$	268.067	+	111.037i	0.533999	+	0.221190i
$503$	−397.401	−	265.535i	−0.790061	−	0.527902i	0.0938335	−	0.995588i	$-0.470088\pi$
$503$	−397.401	−	265.535i	−0.790061	−	0.527902i	−0.883895	+	0.467686i	$0.845088\pi$
$504$	−25.8746	−	130.080i	−0.0513385	−	0.258096i
$505$	190.035	−	126.977i	0.376307	−	0.251441i
$506$	208.666	+	208.666i	0.412384	+	0.412384i
$507$	184.485	−	927.468i	0.363875	−	1.82933i
$508$	92.2226	+	222.645i	0.181541	+	0.438278i
$509$			235.103i			0.461891i	0.972967	+	0.230946i	$0.0741820\pi$
$509$			235.103i			0.461891i	−0.972967	+	0.230946i	$0.925818\pi$
$510$	91.1828	+	37.7692i	0.178790	+	0.0740572i
$511$	315.481			0.617380
$512$	125.455	−	51.9650i	0.245029	−	0.101494i
$513$	−37.1602	−	7.39162i	−0.0724370	−	0.0144086i
$514$	−399.555	+	399.555i	−0.777345	+	0.777345i
$515$	−38.2145	−	57.1920i	−0.0742029	−	0.111052i
$516$	−138.807	+	27.6104i	−0.269005	+	0.0535084i
$517$	174.832	−	261.655i	0.338166	−	0.506102i
$518$	87.3740	−	210.940i	0.168676	−	0.407219i
$519$	−41.4278	−	17.1600i	−0.0798223	−	0.0330635i
$520$	−255.865	−	170.964i	−0.492049	−	0.328777i
$521$	−118.016	−	593.308i	−0.226519	−	1.13879i	−0.911840	−	0.410546i	$-0.865338\pi$
$521$	−118.016	−	593.308i	−0.226519	−	1.13879i	0.685321	−	0.728241i	$-0.259662\pi$
$522$	−33.0564	+	22.0876i	−0.0633265	+	0.0423134i
$523$	721.650	+	721.650i	1.37983	+	1.37983i	0.844894	+	0.534934i	$0.179664\pi$
$523$	721.650	+	721.650i	1.37983	+	1.37983i	0.534934	+	0.844894i	$0.320336\pi$
$524$	40.2554	−	202.378i	0.0768233	−	0.386217i
$525$	203.500	+	491.292i	0.387619	+	0.935795i
$526$			190.369i			0.361918i
$527$	45.5605	+	229.048i	0.0864526	+	0.434627i
$528$	−47.5166			−0.0899935
$529$	172.563	−	71.4781i	0.326207	−	0.135119i
$530$	60.0936	+	11.9534i	0.113384	+	0.0225535i
$531$	−30.4031	+	30.4031i	−0.0572563	+	0.0572563i
$532$	−14.3353	−	21.4544i	−0.0269461	−	0.0403277i
$533$	−592.041	+	117.764i	−1.11077	+	0.220946i
$534$	−108.497	+	162.377i	−0.203178	+	0.304078i
$535$	−45.8636	+	110.725i	−0.0857264	+	0.206962i
$536$	−539.655	−	223.533i	−1.00682	−	0.417038i
$537$	86.3863	+	57.7215i	0.160868	+	0.107489i
$538$	−11.9013	−	59.8321i	−0.0221215	−	0.111212i
$539$	−203.856	+	136.212i	−0.378212	+	0.252713i
$540$	−74.1392	−	74.1392i	−0.137295	−	0.137295i
$541$	110.903	−	557.546i	0.204996	−	1.03058i	−0.732016	−	0.681288i	$-0.761420\pi$
$541$	110.903	−	557.546i	0.204996	−	1.03058i	0.937012	−	0.349297i	$-0.113580\pi$
$542$	−168.093	−	405.812i	−0.310134	−	0.748730i
$543$		−	115.869i		−	0.213387i
$544$	364.477	+	364.477i	0.669995	+	0.669995i
$545$	−341.629			−0.626841
$546$	−668.285	+	276.813i	−1.22397	+	0.506983i
$547$	−359.860	−	71.5805i	−0.657879	−	0.130860i	−0.145148	−	0.989410i	$-0.546366\pi$
$547$	−359.860	−	71.5805i	−0.657879	−	0.130860i	−0.512730	+	0.858550i	$0.671366\pi$
$548$	−160.641	+	160.641i	−0.293140	+	0.293140i
$549$	51.7573	+	77.4602i	0.0942755	+	0.141093i
$550$	−241.885	+	48.1140i	−0.439792	+	0.0874800i
$551$	−12.0180	+	17.9862i	−0.0218112	+	0.0326428i
$552$	−227.744	+	549.823i	−0.412580	+	0.996056i
$553$	−59.4512	−	24.6255i	−0.107507	−	0.0445307i
$554$	312.501	+	208.806i	0.564081	+	0.376907i
$555$	−16.4442	−	82.6708i	−0.0296293	−	0.148956i
$556$	−57.0764	+	38.1372i	−0.102655	+	0.0685922i
$557$	−146.512	−	146.512i	−0.263038	−	0.263038i	0.563249	−	0.826287i	$-0.309551\pi$
$557$	−146.512	−	146.512i	−0.263038	−	0.263038i	−0.826287	+	0.563249i	$0.809551\pi$
$558$	−6.43917	+	32.3719i	−0.0115397	+	0.0580141i
$559$	−207.105	−	499.996i	−0.370493	−	0.894448i
$560$			30.8141i			0.0550251i
$561$	−144.532	−	348.932i	−0.257633	−	0.621981i
$562$	203.593			0.362264
$563$	793.273	−	328.584i	1.40901	−	0.583631i	0.456936	−	0.889499i	$-0.348947\pi$
$563$	793.273	−	328.584i	1.40901	−	0.583631i	0.952074	+	0.305868i	$0.0989467\pi$
$564$	222.558	+	44.2696i	0.394607	+	0.0784922i
$565$	165.048	−	165.048i	0.292120	−	0.292120i
$566$	235.217	+	352.027i	0.415577	+	0.621955i
$567$	−534.854	+	106.389i	−0.943306	+	0.187635i
$568$	483.177	−	723.125i	0.850663	−	1.27311i
$569$	120.952	−	292.003i	0.212569	−	0.513187i	−0.781248	−	0.624221i	$-0.785416\pi$
$569$	120.952	−	292.003i	0.212569	−	0.513187i	0.993817	+	0.111034i	$0.0354164\pi$
$570$	7.01193	+	2.90444i	0.0123016	+	0.00509550i
$571$	224.810	+	150.213i	0.393713	+	0.263071i	0.736631	−	0.676294i	$-0.236415\pi$
$571$	224.810	+	150.213i	0.393713	+	0.263071i	−0.342918	+	0.939365i	$0.611415\pi$
$572$	82.1440	+	412.966i	0.143608	+	0.721968i
$573$	338.130	−	225.931i	0.590105	−	0.394295i
$574$	220.697	+	220.697i	0.384489	+	0.384489i
$575$	−116.704	+	586.709i	−0.202963	+	1.02036i
$576$	33.7846	+	81.5632i	0.0586538	+	0.141603i
$577$		−	63.2031i		−	0.109537i	−0.998499	−	0.0547687i	$-0.982558\pi$
$577$		−	63.2031i		−	0.109537i	0.998499	−	0.0547687i	$-0.0174421\pi$
$578$	147.293	−	355.598i	0.254833	−	0.615221i
$579$	551.703			0.952855
$580$	−55.3054	+	22.9082i	−0.0953541	+	0.0394970i
$581$	1170.70	+	232.868i	2.01498	+	0.400805i
$582$	−200.287	+	200.287i	−0.344136	+	0.344136i
$583$	−130.263	−	194.952i	−0.223435	−	0.334395i
$584$	−289.400	+	57.5653i	−0.495548	+	0.0985706i
$585$	37.1942	−	55.6651i	0.0635799	−	0.0951540i
$586$	−19.6507	+	47.4411i	−0.0335337	+	0.0809575i
$587$	685.040	+	283.753i	1.16702	+	0.483395i	0.880206	−	0.474592i	$-0.157404\pi$
$587$	685.040	+	283.753i	1.16702	+	0.483395i	0.286812	+	0.957987i	$0.407404\pi$
$588$	−146.998	−	98.2209i	−0.249997	−	0.167042i
$589$	3.50359	+	17.6137i	0.00594837	+	0.0299045i
$590$	42.8883	−	28.6571i	0.0726921	−	0.0485713i
$591$	−265.581	−	265.581i	−0.449375	−	0.449375i
$592$	−8.06826	+	40.5619i	−0.0136288	+	0.0685167i
$593$	−76.8977	−	185.647i	−0.129676	−	0.313065i	0.845685	−	0.533683i	$-0.179192\pi$
$593$	−76.8977	−	185.647i	−0.129676	−	0.313065i	−0.975360	+	0.220618i	$0.929192\pi$
$594$		−	319.674i		−	0.538172i
$595$	−226.279	+	93.7278i	−0.380301	+	0.157526i
$596$	−73.3889			−0.123136
$597$	367.465	−	152.209i	0.615519	−	0.254956i
$598$	−798.076	−	158.747i	−1.33458	−	0.265464i
$599$	457.825	−	457.825i	0.764316	−	0.764316i	−0.212784	−	0.977099i	$-0.568253\pi$
$599$	457.825	−	457.825i	0.764316	−	0.764316i	0.977099	+	0.212784i	$0.0682529\pi$
$600$	−276.322	−	413.544i	−0.460536	−	0.689241i
$601$	703.378	−	139.911i	1.17035	−	0.232796i	0.428611	−	0.903489i	$-0.359003\pi$
$601$	703.378	−	139.911i	1.17035	−	0.232796i	0.741735	+	0.670693i	$0.234003\pi$
$602$	−155.462	+	232.665i	−0.258242	+	0.386487i
$603$	48.6309	−	117.405i	0.0806482	−	0.194702i
$604$	289.944	+	120.099i	0.480040	+	0.198839i
$605$	70.8135	+	47.3161i	0.117047	+	0.0782084i
$606$	98.0293	+	492.826i	0.161764	+	0.813245i
$607$	−863.573	+	577.021i	−1.42269	+	0.950612i	−0.423695	+	0.905805i	$0.639267\pi$
$607$	−863.573	+	577.021i	−1.42269	+	0.950612i	−0.998996	+	0.0448067i	$0.985733\pi$
$608$	28.0282	+	28.0282i	0.0460990	+	0.0460990i
$609$	−76.7753	+	385.975i	−0.126068	+	0.633786i
$610$	−42.7693	−	103.254i	−0.0701136	−	0.169269i
$611$			867.731i			1.42018i
$612$	−48.2783	+	48.2783i	−0.0788861	+	0.0788861i
$613$	−626.391			−1.02185			−0.510923	−	0.859627i	$-0.670696\pi$
$613$	−626.391			−1.02185			−0.510923	+	0.859627i	$0.670696\pi$
$614$	−5.91799	+	2.45131i	−0.00963842	+	0.00399237i
$615$	113.011	+	22.4793i	0.183758	+	0.0365517i
$616$	430.537	−	430.537i	0.698924	−	0.698924i
$617$	−372.249	−	557.109i	−0.603320	−	0.902933i	0.396566	−	0.918006i	$-0.370202\pi$
$617$	−372.249	−	557.109i	−0.603320	−	0.902933i	−0.999886	+	0.0150736i	$0.995202\pi$
$618$	148.319	−	29.5024i	0.239998	−	0.0477385i
$619$	−437.249	+	654.389i	−0.706379	+	1.05717i	0.288635	+	0.957439i	$0.406799\pi$
$619$	−437.249	+	654.389i	−0.706379	+	1.05717i	−0.995014	+	0.0997323i	$0.968201\pi$
$620$	−19.0185	+	45.9147i	−0.0306750	+	0.0740560i
$621$	−716.368	−	296.729i	−1.15357	−	0.477825i
$622$	532.235	+	355.628i	0.855684	+	0.571749i
$623$	−94.5466	−	475.318i	−0.151760	−	0.762950i
$624$	108.942	−	72.7926i	0.174586	−	0.116655i
$625$	−306.829	−	306.829i	−0.490927	−	0.490927i
$626$	−23.0442	+	115.851i	−0.0368119	+	0.185066i
$627$	−11.1145	−	26.8327i	−0.0177264	−	0.0427954i
$628$		−	246.816i		−	0.393019i
$629$	−322.402	+	64.1298i	−0.512563	+	0.101955i
$630$	−34.6154			−0.0549451
$631$	−767.465	+	317.894i	−1.21627	+	0.503794i	−0.896221	−	0.443608i	$-0.853698\pi$
$631$	−767.465	+	317.894i	−1.21627	+	0.503794i	−0.320046	+	0.947402i	$0.603698\pi$
$632$	59.0297	+	11.7417i	0.0934013	+	0.0185787i
$633$	−388.241	+	388.241i	−0.613336	+	0.613336i
$634$	−89.0118	−	133.216i	−0.140397	−	0.210119i
$635$	172.526	−	34.3176i	0.271695	−	0.0540435i
$636$	93.9308	−	140.577i	0.147690	−	0.221034i
$637$	258.714	−	624.591i	0.406145	−	0.980520i
$638$	−168.621	−	69.8452i	−0.264297	−	0.109475i
$639$	157.320	+	105.118i	0.246198	+	0.164504i
$640$	17.7874	+	89.4233i	0.0277928	+	0.139724i
$641$	−703.209	+	469.870i	−1.09705	+	0.733026i	−0.966050	−	0.258357i	$-0.916819\pi$
$641$	−703.209	+	469.870i	−1.09705	+	0.733026i	−0.131001	+	0.991382i	$0.541819\pi$
$642$	−186.314	−	186.314i	−0.290209	−	0.290209i
$643$	−144.203	+	724.957i	−0.224266	+	1.12746i	0.690456	+	0.723375i	$0.257410\pi$
$643$	−144.203	+	724.957i	−0.224266	+	1.12746i	−0.914721	+	0.404085i	$0.867590\pi$
$644$	−202.081	−	487.867i	−0.313790	−	0.757557i
$645$			103.305i			0.160162i
$646$	11.3268	−	27.3453i	0.0175338	−	0.0423303i
$647$	874.070			1.35096			0.675479	−	0.737379i	$-0.263937\pi$
$647$	874.070			1.35096			0.675479	+	0.737379i	$0.263937\pi$
$648$	471.225	−	195.188i	0.727199	−	0.301216i
$649$	−193.595	−	38.5084i	−0.298297	−	0.0593350i
$650$	480.866	−	480.866i	0.739793	−	0.739793i
$651$	181.514	+	271.654i	0.278823	+	0.417288i
$652$	356.628	−	70.9377i	0.546976	−	0.108800i
$653$	−642.117	+	960.997i	−0.983335	+	1.47166i	−0.104507	+	0.994524i	$0.533327\pi$
$653$	−642.117	+	960.997i	−0.983335	+	1.47166i	−0.878827	+	0.477140i	$0.841673\pi$
$654$	287.426	−	693.908i	0.439489	−	1.06102i
$655$	−139.151	−	57.6384i	−0.212445	−	0.0879976i
$656$	−47.0066	−	31.4088i	−0.0716565	−	0.0478793i
$657$	−12.5237	−	62.9607i	−0.0190619	−	0.0958307i
$658$	373.048	−	249.263i	0.566942	−	0.378819i
$659$	−318.726	−	318.726i	−0.483651	−	0.483651i	0.422645	−	0.906295i	$-0.361102\pi$
$659$	−318.726	−	318.726i	−0.483651	−	0.483651i	−0.906295	+	0.422645i	$0.861102\pi$
$660$	15.6799	−	78.8284i	0.0237575	−	0.119437i
$661$	191.121	+	461.408i	0.289140	+	0.698045i	0.999986	−	0.00530241i	$-0.00168782\pi$
$661$	191.121	+	461.408i	0.289140	+	0.698045i	−0.710846	+	0.703347i	$0.751688\pi$
$662$		−	135.388i		−	0.204514i
$663$	865.913	+	578.585i	1.30605	+	0.872677i
$664$	−1116.41			−1.68134
$665$	−17.4008	+	7.20763i	−0.0261666	+	0.0108385i
$666$	−45.5658	−	9.06360i	−0.0684171	−	0.0136090i
$667$	−313.036	+	313.036i	−0.469320	+	0.469320i
$668$	206.207	+	308.610i	0.308693	+	0.461991i
$669$	305.871	−	60.8416i	0.457207	−	0.0909441i
$670$	−84.6977	+	126.759i	−0.126414	+	0.189193i
$671$	−163.666	+	395.126i	−0.243914	+	0.588861i
$672$	666.221	+	275.958i	0.991400	+	0.410651i
$673$	−781.320	−	522.061i	−1.16095	−	0.775722i	−0.182704	−	0.983168i	$-0.558485\pi$
$673$	−781.320	−	522.061i	−1.16095	−	0.775722i	−0.978247	+	0.207446i	$0.933485\pi$
$674$	142.801	+	717.911i	0.211871	+	1.06515i
$675$	538.810	−	360.021i	0.798236	−	0.533365i
$676$	−554.932	−	554.932i	−0.820905	−	0.820905i
$677$	217.100	−	1091.43i	0.320679	−	1.61216i	−0.398386	−	0.917218i	$-0.630430\pi$
$677$	217.100	−	1091.43i	0.320679	−	1.61216i	0.719065	−	0.694943i	$-0.244570\pi$
$678$	196.379	+	474.102i	0.289645	+	0.699265i
$679$		−	702.908i		−	1.03521i
$680$	190.470	−	127.268i	0.280103	−	0.187159i
$681$	411.546			0.604325
$682$	−139.990	+	57.9857i	−0.205264	+	0.0850231i
$683$	1289.29	+	256.456i	1.88769	+	0.375484i	0.996882	−	0.0789027i	$-0.0251417\pi$
$683$	1289.29	+	256.456i	1.88769	+	0.375484i	0.890804	+	0.454387i	$0.150142\pi$
$684$	−3.71259	+	3.71259i	−0.00542776	+	0.00542776i
$685$	92.1285	+	137.880i	0.134494	+	0.201285i
$686$	224.626	−	44.6809i	0.327443	−	0.0651325i
$687$	−14.3730	+	21.5107i	−0.0209213	+	0.0313110i
$688$	19.3966	−	46.8276i	0.0281928	−	0.0680634i
$689$	597.310	+	247.414i	0.866923	+	0.359091i
$690$	129.147	+	86.2935i	0.187170	+	0.125063i
$691$	93.4894	+	470.003i	0.135296	+	0.680178i	0.987582	+	0.157103i	$0.0502154\pi$
$691$	93.4894	+	470.003i	0.135296	+	0.680178i	−0.852286	+	0.523075i	$0.824785\pi$
$692$	−30.9423	+	20.6750i	−0.0447143	+	0.0298771i
$693$	93.6660	+	93.6660i	0.135160	+	0.135160i
$694$	66.3285	−	333.456i	0.0955742	−	0.480484i
$695$	19.1749	+	46.2924i	0.0275898	+	0.0666078i
$696$		−	368.075i		−	0.528844i
$697$	87.6654	−	440.724i	0.125775	−	0.632315i
$698$	−739.826			−1.05992
$699$	−966.675	+	400.410i	−1.38294	+	0.572832i
$700$	432.841	+	86.0974i	0.618344	+	0.122996i
$701$	777.458	−	777.458i	1.10907	−	1.10907i	0.115796	−	0.993273i	$-0.463058\pi$
$701$	777.458	−	777.458i	1.10907	−	1.10907i	0.993273	−	0.115796i	$-0.0369420\pi$
$702$	489.722	+	732.921i	0.697610	+	1.04405i
$703$	−24.7926	+	4.93156i	−0.0352669	+	0.00701502i
$704$	−225.167	+	336.987i	−0.319840	+	0.478674i
$705$	63.3860	−	153.027i	0.0899092	−	0.217060i
$706$	−711.085	−	294.541i	−1.00720	−	0.417197i
$707$	−1036.81	−	692.771i	−1.46649	−	0.979875i
$708$	−27.7679	−	139.599i	−0.0392202	−	0.197173i
$709$	433.937	−	289.947i	0.612041	−	0.408953i	−0.210553	−	0.977583i	$-0.567526\pi$
$709$	433.937	−	289.947i	0.612041	−	0.408953i	0.822593	+	0.568630i	$0.192526\pi$
$710$	−160.503	−	160.503i	−0.226061	−	0.226061i
$711$	−2.55448	+	12.8423i	−0.00359281	+	0.0180623i
$712$	173.461	+	418.771i	0.243625	+	0.588162i
$713$			367.531i			0.515472i
$714$		−	538.469i		−	0.754159i
$715$	307.343			0.429851
$716$	79.6605	−	32.9965i	0.111258	−	0.0460845i
$717$	−979.467	−	194.828i	−1.36606	−	0.271727i
$718$	−162.610	+	162.610i	−0.226476	+	0.226476i
$719$	−345.349	−	516.851i	−0.480318	−	0.718847i	0.509612	−	0.860404i	$-0.329789\pi$
$719$	−345.349	−	516.851i	−0.480318	−	0.718847i	−0.989930	+	0.141557i	$0.954789\pi$
$720$	6.14958	−	1.22323i	0.00854108	−	0.00169893i
$721$	−208.493	+	312.032i	−0.289172	+	0.432776i
$722$	−183.118	+	442.087i	−0.253627	+	0.612309i
$723$	−344.452	−	142.677i	−0.476420	−	0.197340i
$724$	−79.9548	−	53.4241i	−0.110435	−	0.0737902i
$725$	−72.1795	−	362.871i	−0.0995579	−	0.500511i
$726$	−155.686	+	104.026i	−0.214443	+	0.143286i
$727$	181.405	+	181.405i	0.249526	+	0.249526i	0.820776	−	0.571250i	$-0.193541\pi$
$727$	181.405	+	181.405i	0.249526	+	0.249526i	−0.571250	+	0.820776i	$0.693541\pi$
$728$	−327.540	+	1646.65i	−0.449917	+	2.26189i
$729$	310.231	+	748.965i	0.425557	+	1.02739i
$730$			77.0116i			0.105495i
$731$	402.871			0.551123
$732$	−308.395			−0.421305
$733$	204.776	−	84.8211i	0.279367	−	0.115718i	−0.238600	−	0.971118i	$-0.576689\pi$
$733$	204.776	−	84.8211i	0.279367	−	0.115718i	0.517968	+	0.855400i	$0.326689\pi$
$734$	−26.6690	−	5.30478i	−0.0363337	−	0.00722723i
$735$	−91.2502	+	91.2502i	−0.124150	+	0.124150i
$736$	450.677	+	674.487i	0.612334	+	0.916422i
$737$	572.182	−	113.814i	0.776366	−	0.154429i
$738$	35.2836	−	52.8056i	0.0478097	−	0.0715523i
$739$	113.071	−	272.978i	0.153006	−	0.369388i	−0.828727	−	0.559653i	$-0.810935\pi$
$739$	113.071	−	272.978i	0.153006	−	0.369388i	0.981733	+	0.190265i	$0.0609346\pi$
$740$	−64.6284	−	26.7699i	−0.0873356	−	0.0361756i
$741$	66.5884	+	44.4929i	0.0898629	+	0.0600445i
$742$	−65.2159	−	327.862i	−0.0878920	−	0.441863i
$743$	−622.570	+	415.988i	−0.837914	+	0.559876i	−0.898846	−	0.438265i	$-0.855593\pi$
$743$	−622.570	+	415.988i	−0.837914	+	0.559876i	0.0609312	+	0.998142i	$0.480593\pi$
$744$	−216.076	−	216.076i	−0.290425	−	0.290425i
$745$	−10.4508	+	52.5398i	−0.0140279	+	0.0705232i
$746$	−352.159	−	850.187i	−0.472063	−	1.13966i
$747$		−	242.882i		−	0.325143i
$748$	−307.417	−	61.1491i	−0.410986	−	0.0817502i
$749$	653.871			0.872992
$750$	−254.021	+	105.219i	−0.338695	+	0.140292i
$751$	−683.178	−	135.892i	−0.909691	−	0.180949i	−0.282003	−	0.959414i	$-0.590999\pi$
$751$	−683.178	−	135.892i	−0.909691	−	0.180949i	−0.627688	+	0.778465i	$0.715999\pi$
$752$	−57.4652	+	57.4652i	−0.0764165	+	0.0764165i
$753$	−324.688	−	485.930i	−0.431193	−	0.645326i
$754$	493.598	−	98.1828i	0.654640	−	0.130216i
$755$	127.269	−	190.471i	0.168568	−	0.252280i
$756$	−218.910	+	528.496i	−0.289564	+	0.699069i
$757$	−633.525	−	262.415i	−0.836889	−	0.346651i	−0.0772631	−	0.997011i	$-0.524618\pi$
$757$	−633.525	−	262.415i	−0.836889	−	0.346651i	−0.759626	+	0.650360i	$0.774618\pi$
$758$	−193.622	−	129.374i	−0.255438	−	0.170678i
$759$	−115.958	−	582.962i	−0.152778	−	0.768066i
$760$	14.6471	−	9.78685i	0.0192724	−	0.0128774i
$761$	−305.005	−	305.005i	−0.400795	−	0.400795i	0.477718	−	0.878513i	$-0.341464\pi$
$761$	−305.005	−	305.005i	−0.400795	−	0.400795i	−0.878513	+	0.477718i	$0.841464\pi$
$762$	−75.4484	+	379.305i	−0.0990136	+	0.497775i
$763$	713.275	+	1722.00i	0.934830	+	2.25688i
$764$		−	337.495i		−	0.441747i
$765$	27.6879	+	41.4379i	0.0361933	+	0.0541672i
$766$	635.021			0.829009
$767$	502.850	−	208.287i	0.655606	−	0.271561i
$768$	−711.607	−	141.547i	−0.926572	−	0.184307i
$769$	303.275	−	303.275i	0.394376	−	0.394376i	−0.481868	−	0.876244i	$-0.660041\pi$
$769$	303.275	−	303.275i	0.394376	−	0.394376i	0.876244	+	0.481868i	$0.160041\pi$
$770$	−88.2869	−	132.131i	−0.114658	−	0.171598i
$771$	1116.26	−	222.037i	1.44780	−	0.287986i
$772$	254.375	−	380.699i	0.329501	−	0.493133i
$773$	−79.8088	+	192.675i	−0.103246	+	0.249257i	−0.967058	−	0.254557i	$-0.918070\pi$
$773$	−79.8088	+	192.675i	−0.103246	+	0.249257i	0.863812	+	0.503814i	$0.168070\pi$
$774$	52.6045	+	21.7895i	0.0679644	+	0.0281518i
$775$	−255.393	−	170.648i	−0.329539	−	0.220191i
$776$	128.258	+	644.798i	0.165281	+	0.830925i
$777$	−382.373	+	255.494i	−0.492115	+	0.328821i
$778$	208.144	+	208.144i	0.267537	+	0.267537i
$779$	6.74144	−	33.8915i	0.00865396	−	0.0435064i
$780$	84.8108	+	204.751i	0.108732	+	0.262502i
$781$			868.612i			1.11218i
$782$	336.530	−	503.653i	0.430345	−	0.644058i
$783$	479.568			0.612475
$784$	58.4966	−	24.2301i	0.0746130	−	0.0309057i
$785$	−176.698	−	35.1474i	−0.225093	−	0.0447737i
$786$	234.148	−	234.148i	0.297898	−	0.297898i
$787$	614.498	+	919.662i	0.780811	+	1.16857i	0.981975	+	0.189009i	$0.0605275\pi$
$787$	614.498	+	919.662i	0.780811	+	1.16857i	−0.201164	+	0.979558i	$0.564473\pi$
$788$	−305.714	+	60.8102i	−0.387962	+	0.0771703i
$789$	213.027	−	318.817i	0.269996	−	0.404077i
$790$	6.01129	−	14.5125i	0.00760922	−	0.0183703i
$791$	−1176.53	−	487.334i	−1.48739	−	0.616099i
$792$	−103.014	−	68.8315i	−0.130068	−	0.0869084i
$793$	−230.069	−	1156.64i	−0.290125	−	1.45856i
$794$	−133.982	+	89.5239i	−0.168743	+	0.112750i
$795$	−87.2646	−	87.2646i	−0.109767	−	0.109767i
$796$	64.3970	−	323.746i	0.0809008	−	0.406716i
$797$	−23.4701	−	56.6619i	−0.0294481	−	0.0710940i	0.908471	−	0.417947i	$-0.137250\pi$
$797$	−23.4701	−	56.6619i	−0.0294481	−	0.0710940i	−0.937919	+	0.346853i	$0.887250\pi$
$798$		−	41.4081i		−	0.0518899i
$799$	−596.781	−	247.195i	−0.746910	−	0.309380i
$800$	−677.946			−0.847433
$801$	−91.1062	+	37.7374i	−0.113741	+	0.0471129i
$802$	682.039	+	135.666i	0.850423	+	0.169160i
$803$	208.386	−	208.386i	0.259509	−	0.259509i
$804$	233.715	+	349.779i	0.290690	+	0.435049i
$805$	−378.045	+	75.1979i	−0.469621	+	0.0934135i
$806$	232.126	−	347.401i	0.287997	−	0.431018i
$807$	−47.0217	+	113.521i	−0.0582673	+	0.140670i
$808$	1077.50	+	446.315i	1.33354	+	0.552370i
$809$	676.209	+	451.829i	0.835858	+	0.558503i	0.898218	−	0.439551i	$-0.144862\pi$
$809$	676.209	+	451.829i	0.835858	+	0.558503i	−0.0623592	+	0.998054i	$0.519862\pi$
$810$	−25.9705	−	130.562i	−0.0320623	−	0.161188i
$811$	961.868	−	642.700i	1.18603	−	0.792478i	0.203587	−	0.979057i	$-0.434740\pi$
$811$	961.868	−	642.700i	1.18603	−	0.792478i	0.982440	+	0.186579i	$0.0597399\pi$
$812$	230.941	+	230.941i	0.284410	+	0.284410i
$813$	−172.601	+	867.724i	−0.212301	+	1.06731i
$814$	−81.6192	−	197.046i	−0.100269	−	0.242071i
$815$		−	265.415i		−	0.325663i
$816$	19.0282	+	95.6614i	0.0233189	+	0.117232i
$817$	30.9806			0.0379200
$818$	167.356	−	69.3211i	0.204592	−	0.0847446i
$819$	−358.240	−	71.2583i	−0.437411	−	0.0870065i
$820$	67.6178	−	67.6178i	0.0824608	−	0.0824608i
$821$	555.958	+	832.050i	0.677172	+	1.01346i	0.997803	+	0.0662547i	$0.0211050\pi$
$821$	555.958	+	832.050i	0.677172	+	1.01346i	−0.320631	+	0.947204i	$0.603895\pi$
$822$	−357.570	+	71.1252i	−0.435000	+	0.0865270i
$823$	30.1009	−	45.0492i	0.0365746	−	0.0547378i	−0.812732	−	0.582638i	$-0.802021\pi$
$823$	30.1009	−	45.0492i	0.0365746	−	0.0547378i	0.849306	+	0.527900i	$0.177021\pi$
$824$	134.321	−	324.279i	0.163011	−	0.393542i
$825$	458.934	+	190.097i	0.556283	+	0.230420i
$826$	−233.993	−	156.349i	−0.283284	−	0.189285i
$827$	80.0267	+	402.321i	0.0967675	+	0.486483i	0.998528	+	0.0542461i	$0.0172756\pi$
$827$	80.0267	+	402.321i	0.0967675	+	0.486483i	−0.901760	+	0.432237i	$0.857724\pi$
$828$	−89.3418	+	59.6963i	−0.107901	+	0.0720970i
$829$	−153.097	−	153.097i	−0.184677	−	0.184677i	0.608713	−	0.793390i	$-0.291686\pi$
$829$	−153.097	−	153.097i	−0.184677	−	0.184677i	−0.793390	+	0.608713i	$0.791686\pi$
$830$	−56.8449	+	285.779i	−0.0684878	+	0.344312i
$831$	−289.696	−	699.389i	−0.348612	−	0.841623i
$832$		−	1117.56i		−	1.34322i
$833$	355.861	+	355.861i	0.427204	+	0.427204i
$834$	−110.161			−0.132087
$835$	250.301	−	103.678i	0.299762	−	0.124165i
$836$	−23.6403	−	4.70235i	−0.0282779	−	0.00562482i
$837$	281.527	−	281.527i	0.336352	−	0.336352i
$838$	277.121	+	414.741i	0.330694	+	0.494918i
$839$	−278.253	+	55.3480i	−0.331648	+	0.0659690i	−0.358106	−	0.933681i	$-0.616577\pi$
$839$	−278.253	+	55.3480i	−0.331648	+	0.0659690i	0.0264576	+	0.999650i	$0.491577\pi$
$840$	178.048	−	266.467i	0.211961	−	0.317223i
$841$	−217.057	+	524.021i	−0.258094	+	0.623093i
$842$	−476.785	−	197.491i	−0.566252	−	0.234549i
$843$	−340.963	−	227.824i	−0.404463	−	0.270254i
$844$	88.8960	+	446.910i	0.105327	+	0.529515i
$845$	−476.305	+	318.257i	−0.563674	+	0.376635i
$846$	−64.5544	−	64.5544i	−0.0763054	−	0.0763054i
$847$	90.6502	−	455.729i	0.107025	−	0.538051i
$848$	23.1718	+	55.9416i	0.0273252	+	0.0659689i
$849$		−	852.762i		−	1.00443i
$850$	193.728	+	467.701i	0.227916	+	0.550237i
$851$	−517.327			−0.607905
$852$	−578.667	+	239.692i	−0.679187	+	0.281328i
$853$	−559.124	−	111.217i	−0.655479	−	0.130383i	−0.143864	−	0.989598i	$-0.545953\pi$
$853$	−559.124	−	111.217i	−0.655479	−	0.130383i	−0.511615	+	0.859215i	$0.670953\pi$
$854$	−431.162	+	431.162i	−0.504874	+	0.504874i
$855$	2.12919	+	3.18656i	0.00249028	+	0.00372697i
$856$	−599.815	+	119.311i	−0.700718	+	0.139382i
$857$	−738.200	+	1104.79i	−0.861377	+	1.28914i	0.0945445	+	0.995521i	$0.469861\pi$
$857$	−738.200	+	1104.79i	−0.861377	+	1.28914i	−0.955922	+	0.293622i	$0.905139\pi$
$858$	−258.581	+	624.269i	−0.301376	+	0.727586i
$859$	260.316	+	107.826i	0.303046	+	0.125526i	0.529024	−	0.848607i	$-0.322558\pi$
$859$	260.316	+	107.826i	0.303046	+	0.125526i	−0.225979	+	0.974132i	$0.572558\pi$
$860$	71.2847	+	47.6309i	0.0828892	+	0.0553848i
$861$	−122.644	−	616.572i	−0.142443	−	0.716111i
$862$	76.2213	−	50.9295i	0.0884238	−	0.0590829i
$863$	44.4457	+	44.4457i	0.0515014	+	0.0515014i	0.732388	−	0.680887i	$-0.238406\pi$
$863$	44.4457	+	44.4457i	0.0515014	+	0.0515014i	−0.680887	+	0.732388i	$0.738406\pi$
$864$	171.436	−	861.869i	0.198422	−	0.997533i
$865$	10.3951	+	25.0961i	0.0120175	+	0.0290128i
$866$			362.854i			0.419000i
$867$	−644.598	+	430.707i	−0.743481	+	0.496778i
$868$	271.144			0.312378
$869$	−55.5355	+	23.0035i	−0.0639073	+	0.0264713i
$870$	−94.2198	−	18.7415i	−0.108299	−	0.0215419i
$871$	−1137.49	+	1137.49i	−1.30596	+	1.30596i
$872$	−968.518	−	1449.49i	−1.11069	−	1.66226i
$873$	−140.280	+	27.9034i	−0.160687	+	0.0319626i
$874$	25.8790	−	38.7307i	0.0296099	−	0.0443143i
$875$	261.111	−	630.377i	0.298412	−	0.720431i
$876$	196.330	+	81.3225i	0.224121	+	0.0928339i
$877$	374.931	+	250.521i	0.427515	+	0.285657i	0.750655	−	0.660695i	$-0.229738\pi$
$877$	374.931	+	250.521i	0.427515	+	0.285657i	−0.323139	+	0.946351i	$0.604738\pi$
$878$	38.2516	+	192.304i	0.0435668	+	0.219025i
$879$	85.9972	−	57.4615i	0.0978353	−	0.0653714i
$880$	20.3537	+	20.3537i	0.0231292	+	0.0231292i
$881$	192.046	−	965.483i	0.217987	−	1.09589i	−0.704452	−	0.709752i	$-0.748807\pi$
$881$	192.046	−	965.483i	0.217987	−	1.09589i	0.922439	−	0.386143i	$-0.126193\pi$
$882$	27.2192	+	65.7130i	0.0308608	+	0.0745046i
$883$			908.452i			1.02882i	0.857543	+	0.514412i	$0.171990\pi$
$883$			908.452i			1.02882i	−0.857543	+	0.514412i	$0.828010\pi$
$884$	798.496	−	330.748i	0.903276	−	0.374149i
$885$	−103.894			−0.117395
$886$	−762.051	+	315.652i	−0.860103	+	0.356266i
$887$	245.627	+	48.8583i	0.276919	+	0.0550827i	0.331596	−	0.943421i	$-0.392413\pi$
$887$	245.627	+	48.8583i	0.276919	+	0.0550827i	−0.0546769	+	0.998504i	$0.517413\pi$
$888$	304.143	−	304.143i	0.342503	−	0.342503i
$889$	−533.193	−	797.979i	−0.599767	−	0.897614i
$890$	116.029	−	23.0796i	0.130370	−	0.0259322i
$891$	−283.016	+	423.563i	−0.317638	+	0.475379i
$892$	99.0454	−	239.117i	0.111037	−	0.268068i
$893$	−45.8922	−	19.0092i	−0.0513911	−	0.0212869i
$894$	−97.9249	−	65.4313i	−0.109536	−	0.0731894i
$895$	−12.2786	−	61.7285i	−0.0137191	−	0.0689704i
$896$	413.605	−	276.362i	0.461613	−	0.308440i
$897$	1158.92	+	1158.92i	1.29200	+	1.29200i
$898$	163.020	−	819.556i	0.181537	−	0.912646i
$899$	−86.9888	−	210.010i	−0.0967617	−	0.233604i
$900$		−	89.8001i		−	0.0997779i
$901$	−340.317	+	340.317i	−0.377711	+	0.377711i
$902$	291.555			0.323232
$903$	520.713	−	215.687i	0.576648	−	0.238856i
$904$	1168.19	+	232.367i	1.29224	+	0.257043i
$905$	−49.6326	+	49.6326i	−0.0548427	+	0.0548427i
$906$	279.804	+	418.756i	0.308835	+	0.462204i
$907$	1703.05	−	338.757i	1.87767	−	0.373492i	0.882387	−	0.470524i	$-0.155935\pi$
$907$	1703.05	−	338.757i	1.87767	−	0.373492i	0.995281	+	0.0970321i	$0.0309350\pi$
$908$	189.752	−	283.984i	0.208978	−	0.312758i
$909$	−97.0986	+	234.417i	−0.106819	+	0.257884i
$910$	404.833	+	167.687i	0.444871	+	0.184272i
$911$	1492.51	+	997.265i	1.63832	+	1.09469i	0.914401	+	0.404811i	$0.132663\pi$
$911$	1492.51	+	997.265i	1.63832	+	1.09469i	0.723922	+	0.689882i	$0.242337\pi$
$912$	1.46326	+	7.35633i	0.00160446	+	0.00806615i
$913$	927.106	−	619.472i	1.01545	−	0.678502i
$914$	−130.337	−	130.337i	−0.142600	−	0.142600i
$915$	−43.9164	+	220.783i	−0.0479961	+	0.241293i
$916$	8.21630	+	19.8359i	0.00896976	+	0.0216549i
$917$			821.743i			0.896121i
$918$	−643.575	+	128.015i	−0.701062	+	0.139450i
$919$	−506.869			−0.551544			−0.275772	−	0.961223i	$-0.588933\pi$
$919$	−506.869			−0.551544			−0.275772	+	0.961223i	$0.588933\pi$
$920$	333.071	−	137.962i	0.362033	−	0.149959i
$921$	12.6541	+	2.51706i	0.0137395	+	0.00273296i
$922$	−138.230	+	138.230i	−0.149924	+	0.149924i
$923$	−1330.66	−	1991.48i	−1.44167	−	2.15761i
$924$	−430.077	+	85.5476i	−0.465451	+	0.0925839i
$925$	240.200	−	359.484i	0.259675	−	0.388632i
$926$	376.485	−	908.914i	0.406571	−	0.981549i
$927$	70.5489	+	29.2223i	0.0761045	+	0.0315235i
$928$	−417.160	−	278.737i	−0.449526	−	0.300364i
$929$	272.070	+	1367.79i	0.292863	+	1.47232i	0.794510	+	0.607251i	$0.207728\pi$
$929$	272.070	+	1367.79i	0.292863	+	1.47232i	−0.501646	+	0.865073i	$0.667272\pi$
$930$	−66.3131	+	44.3090i	−0.0713044	+	0.0476441i
$931$	27.3656	+	27.3656i	0.0293937	+	0.0293937i
$932$	−169.407	+	851.665i	−0.181767	+	0.913803i
$933$	−493.396	−	1191.16i	−0.528827	−	1.27670i
$934$			10.1880i			0.0109080i
$935$	−87.5544	+	211.375i	−0.0936411	+	0.226070i
$936$	341.626			0.364985
$937$	−185.233	+	76.7261i	−0.197687	+	0.0818848i	−0.479331	−	0.877634i	$-0.659121\pi$
$937$	−185.233	+	76.7261i	−0.197687	+	0.0818848i	0.281643	+	0.959519i	$0.409121\pi$
$938$	815.774	+	162.268i	0.869695	+	0.172993i
$939$	168.233	−	168.233i	0.179162	−	0.179162i
$940$	−76.3699	−	114.296i	−0.0812446	−	0.121591i
$941$	−1497.87	+	297.945i	−1.59179	+	0.316626i	−0.909899	−	0.414830i	$-0.863841\pi$
$941$	−1497.87	+	297.945i	−1.59179	+	0.316626i	−0.681889	+	0.731456i	$0.738841\pi$
$942$	220.054	−	329.334i	0.233603	−	0.349611i
$943$	270.628	−	653.355i	0.286987	−	0.692847i
$944$	47.0948	+	19.5073i	0.0498886	+	0.0206645i
$945$	347.182	+	231.979i	0.367388	+	0.245481i
$946$	50.9953	+	256.371i	0.0539063	+	0.271005i
$947$	−845.726	+	565.096i	−0.893058	+	0.596723i	−0.915186	−	0.403033i	$-0.867956\pi$
$947$	−845.726	+	565.096i	−0.893058	+	0.596723i	0.0221273	+	0.999755i	$0.492956\pi$
$948$	−30.6498	−	30.6498i	−0.0323310	−	0.0323310i
$949$	−158.534	+	797.004i	−0.167054	+	0.839835i
$950$	14.8976	+	35.9661i	0.0156817	+	0.0378590i
$951$			322.706i			0.339334i
$952$	−1039.18	−	694.356i	−1.09157	−	0.729365i
$953$	297.230			0.311889			0.155945	−	0.987766i	$-0.450158\pi$
$953$	297.230			0.311889			0.155945	+	0.987766i	$0.450158\pi$
$954$	−62.8428	+	26.0303i	−0.0658730	+	0.0272855i
$955$	−241.616	−	48.0603i	−0.253001	−	0.0503249i
$956$	−586.045	+	586.045i	−0.613017	+	0.613017i
$957$	204.237	+	305.662i	0.213414	+	0.319396i
$958$	−988.688	+	196.662i	−1.03203	+	0.205284i
$959$	502.640	−	752.255i	0.524130	−	0.784416i
$960$	−81.6352	+	197.085i	−0.0850366	+	0.205297i
$961$	713.498	+	295.540i	0.742453	+	0.307534i
$962$	488.992	+	326.734i	0.508308	+	0.339640i
$963$	−25.9567	−	130.493i	−0.0269540	−	0.135507i
$964$	−257.270	+	171.902i	−0.266878	+	0.178322i
$965$	−236.322	−	236.322i	−0.244893	−	0.244893i
$966$	165.325	−	831.144i	0.171144	−	0.860397i
$967$	−452.787	−	1093.12i	−0.468239	−	1.13043i	−0.964931	−	0.262502i	$-0.915452\pi$
$967$	−452.787	−	1093.12i	−0.468239	−	1.13043i	0.496692	−	0.867927i	$-0.334548\pi$
$968$			434.595i			0.448961i
$969$	−49.5693	+	33.1212i	−0.0511551	+	0.0341808i
$970$	171.586			0.176893
$971$	510.211	−	211.336i	0.525449	−	0.217648i	−0.104160	−	0.994561i	$-0.533215\pi$
$971$	510.211	−	211.336i	0.525449	−	0.217648i	0.629608	+	0.776913i	$0.283215\pi$
$972$	209.262	+	41.6248i	0.215290	+	0.0428239i
$973$	193.305	−	193.305i	0.198669	−	0.198669i
$974$	6.53565	+	9.78129i	0.00671011	+	0.0100424i
$975$	−1343.42	+	267.223i	−1.37787	+	0.274074i
$976$	61.3616	−	91.8341i	0.0628705	−	0.0940923i
$977$	−125.177	+	302.204i	−0.128124	+	0.309318i	−0.974904	−	0.222624i	$-0.928538\pi$
$977$	−125.177	+	302.204i	−0.128124	+	0.309318i	0.846781	+	0.531942i	$0.178538\pi$
$978$	539.105	+	223.305i	0.551232	+	0.228328i
$979$	−376.415	−	251.512i	−0.384489	−	0.256907i
$980$	20.8937	+	105.039i	0.0213201	+	0.107183i
$981$	315.345	−	210.707i	0.321453	−	0.214788i
$982$	−552.735	−	552.735i	−0.562866	−	0.562866i
$983$	199.903	−	1004.98i	0.203360	−	1.02236i	−0.735359	−	0.677678i	$-0.762986\pi$
$983$	199.903	−	1004.98i	0.203360	−	1.02236i	0.938719	−	0.344683i	$-0.112014\pi$
$984$	225.009	+	543.221i	0.228668	+	0.552053i
$985$			227.523i			0.230988i
$986$	−73.0887	+	367.442i	−0.0741265	+	0.372659i
$987$	−903.685			−0.915587
$988$	61.4041	−	25.4344i	0.0621499	−	0.0257433i
$989$	621.844	+	123.692i	0.628760	+	0.125068i
$990$	−22.8646	+	22.8646i	−0.0230956	+	0.0230956i
$991$	−229.264	−	343.118i	−0.231346	−	0.346234i	0.697575	−	0.716512i	$-0.254262\pi$
$991$	−229.264	−	343.118i	−0.231346	−	0.346234i	−0.928921	+	0.370278i	$0.879262\pi$
$992$	−408.521	+	81.2600i	−0.411816	+	0.0819153i
$993$	−151.502	+	226.739i	−0.152570	+	0.228338i
$994$	−473.916	+	1144.14i	−0.476777	+	1.15104i
$995$	−222.602	−	92.2048i	−0.223721	−	0.0926682i
$996$	668.524	+	446.693i	0.671209	+	0.448487i
$997$	245.429	+	1233.85i	0.246167	+	1.23757i	0.884035	+	0.467421i	$0.154817\pi$
$997$	245.429	+	1233.85i	0.246167	+	1.23757i	−0.637867	+	0.770146i	$0.720183\pi$
$998$	−124.125	+	82.9374i	−0.124373	+	0.0831037i
$999$	396.270	+	396.270i	0.396666	+	0.396666i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	17.3.e.a.3.1	✓	8
3.2	odd	2		153.3.p.b.37.1		8
4.3	odd	2		272.3.bh.c.241.1		8
5.2	odd	4		425.3.t.c.224.1		8
5.3	odd	4		425.3.t.a.224.1		8
5.4	even	2		425.3.u.b.326.1		8
17.2	even	8		289.3.e.l.131.1		8
17.3	odd	16		289.3.e.l.214.1		8
17.4	even	4		289.3.e.m.65.1		8
17.5	odd	16		289.3.e.d.75.1		8
17.6	odd	16	inner	17.3.e.a.6.1	yes	8
17.7	odd	16		289.3.e.i.249.1		8
17.8	even	8		289.3.e.d.158.1		8
17.9	even	8		289.3.e.b.158.1		8
17.10	odd	16		289.3.e.m.249.1		8
17.11	odd	16		289.3.e.c.40.1		8
17.12	odd	16		289.3.e.b.75.1		8
17.13	even	4		289.3.e.i.65.1		8
17.14	odd	16		289.3.e.k.214.1		8
17.15	even	8		289.3.e.k.131.1		8
17.16	even	2		289.3.e.c.224.1		8
51.23	even	16		153.3.p.b.91.1		8
68.23	even	16		272.3.bh.c.193.1		8
85.23	even	16		425.3.t.c.74.1		8
85.57	even	16		425.3.t.a.74.1		8
85.74	odd	16		425.3.u.b.176.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
17.3.e.a.3.1	✓	8	1.1	even	1	trivial
17.3.e.a.6.1	yes	8	17.6	odd	16	inner
153.3.p.b.37.1		8	3.2	odd	2
153.3.p.b.91.1		8	51.23	even	16
272.3.bh.c.193.1		8	68.23	even	16
272.3.bh.c.241.1		8	4.3	odd	2
289.3.e.b.75.1		8	17.12	odd	16
289.3.e.b.158.1		8	17.9	even	8
289.3.e.c.40.1		8	17.11	odd	16
289.3.e.c.224.1		8	17.16	even	2
289.3.e.d.75.1		8	17.5	odd	16
289.3.e.d.158.1		8	17.8	even	8
289.3.e.i.65.1		8	17.13	even	4
289.3.e.i.249.1		8	17.7	odd	16
289.3.e.k.131.1		8	17.15	even	8
289.3.e.k.214.1		8	17.14	odd	16
289.3.e.l.131.1		8	17.2	even	8
289.3.e.l.214.1		8	17.3	odd	16
289.3.e.m.65.1		8	17.4	even	4
289.3.e.m.249.1		8	17.10	odd	16
425.3.t.a.74.1		8	85.57	even	16
425.3.t.a.224.1		8	5.3	odd	4
425.3.t.c.74.1		8	85.23	even	16
425.3.t.c.224.1		8	5.2	odd	4
425.3.u.b.176.1		8	85.74	odd	16
425.3.u.b.326.1		8	5.4	even	2

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:	\( N \)	\(=\)	\( 17 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	17.e (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.23044 - 0.509666i) q^{2} +(-2.63099 - 0.523336i) q^{3} +(-1.57420 + 1.57420i) q^{4} +(0.902812 + 1.35115i) q^{5} +(-3.50400 + 0.696990i) q^{6} +(4.92562 - 7.37170i) q^{7} +(-3.17331 + 7.66104i) q^{8} +(-1.66671 - 0.690373i) q^{9} +O(q^{10})\)	\(q+(1.23044 - 0.509666i) q^{2} +(-2.63099 - 0.523336i) q^{3} +(-1.57420 + 1.57420i) q^{4} +(0.902812 + 1.35115i) q^{5} +(-3.50400 + 0.696990i) q^{6} +(4.92562 - 7.37170i) q^{7} +(-3.17331 + 7.66104i) q^{8} +(-1.66671 - 0.690373i) q^{9} +(1.79949 + 1.20238i) q^{10} +(-1.61572 - 8.12279i) q^{11} +(4.96553 - 3.31786i) q^{12} +(16.1480 + 16.1480i) q^{13} +(2.30358 - 11.5809i) q^{14} +(-1.66818 - 4.02734i) q^{15} +2.13880i q^{16} +(-15.7060 + 6.50562i) q^{17} -2.40265 q^{18} +(-1.20778 + 0.500280i) q^{19} +(-3.54819 - 0.705778i) q^{20} +(-16.8171 + 16.8171i) q^{21} +(-6.12797 - 9.17115i) q^{22} +(-26.2400 + 5.21946i) q^{23} +(12.3582 - 18.4954i) q^{24} +(8.55654 - 20.6573i) q^{25} +(28.0993 + 11.6391i) q^{26} +(24.0978 + 16.1016i) q^{27} +(3.85063 + 19.3584i) q^{28} +(13.7583 - 9.19303i) q^{29} +(-4.10520 - 4.10520i) q^{30} +(2.68003 - 13.4734i) q^{31} +(-11.6032 - 28.0125i) q^{32} +22.2165i q^{33} +(-16.0096 + 16.0096i) q^{34} +14.4072 q^{35} +(3.71051 - 1.53694i) q^{36} +(18.9648 + 3.77234i) q^{37} +(-1.23113 + 1.23113i) q^{38} +(-34.0344 - 50.9361i) q^{39} +(-13.2161 + 2.62885i) q^{40} +(-14.6853 + 21.9781i) q^{41} +(-12.1214 + 29.2636i) q^{42} +(-21.8944 - 9.06895i) q^{43} +(15.3303 + 10.2434i) q^{44} +(-0.571923 - 2.87525i) q^{45} +(-29.6266 + 19.7959i) q^{46} +(26.8680 + 26.8680i) q^{47} +(1.11931 - 5.62714i) q^{48} +(-11.3288 - 27.3503i) q^{49} -29.7786i q^{50} +(44.7268 - 8.89671i) q^{51} -50.8404 q^{52} +(26.1557 - 10.8340i) q^{53} +(37.8574 + 7.53030i) q^{54} +(9.51644 - 9.51644i) q^{55} +(40.8445 + 61.1281i) q^{56} +(3.43947 - 0.684154i) q^{57} +(12.2435 - 18.3236i) q^{58} +(9.12070 - 22.0193i) q^{59} +(8.96587 + 3.71379i) q^{60} +(-42.9373 - 28.6898i) q^{61} +(-3.56932 - 17.9442i) q^{62} +(-13.2988 + 8.88596i) q^{63} +(-34.6035 - 34.6035i) q^{64} +(-7.23983 + 36.3971i) q^{65} +(11.3230 + 27.3362i) q^{66} +70.4415i q^{67} +(14.4831 - 34.9654i) q^{68} +71.7687 q^{69} +(17.7272 - 7.34286i) q^{70} +(-102.865 - 20.4612i) q^{71} +(10.5780 - 10.5780i) q^{72} +(19.7693 + 29.5868i) q^{73} +(25.2578 - 5.02408i) q^{74} +(-33.3228 + 49.8712i) q^{75} +(1.11375 - 2.68883i) q^{76} +(-67.8373 - 28.0991i) q^{77} +(-67.8377 - 45.3277i) q^{78} +(-1.41599 - 7.11865i) q^{79} +(-2.88984 + 1.93093i) q^{80} +(-43.4936 - 43.4936i) q^{81} +(-6.86792 + 34.5274i) q^{82} +(51.5218 + 124.385i) q^{83} -52.9469i q^{84} +(-22.9696 - 15.3478i) q^{85} -31.5619 q^{86} +(-41.0090 + 16.9865i) q^{87} +(67.3563 + 13.3980i) q^{88} +(38.6522 - 38.6522i) q^{89} +(-2.16914 - 3.24634i) q^{90} +(198.577 - 39.4995i) q^{91} +(33.0905 - 49.5234i) q^{92} +(-14.1023 + 34.0458i) q^{93} +(46.7533 + 19.3658i) q^{94} +(-1.76635 - 1.18024i) q^{95} +(15.8678 + 79.7729i) q^{96} +(65.9209 - 44.0470i) q^{97} +(-27.8790 - 27.8790i) q^{98} +(-2.91482 + 14.6538i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9}+O(q^{10}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9	\( 8 q - 8 q^{2} - 8 q^{3} + 16 q^{5} - 8 q^{6} + 8 q^{7} - 24 q^{8} - 16 q^{9} + 16 q^{10} - 8 q^{11} + 48 q^{12} + 16 q^{13} + 8 q^{14} - 16 q^{15} + 56 q^{18} - 80 q^{20} - 64 q^{21} - 104 q^{22} - 56 q^{23} - 80 q^{24} + 64 q^{25} + 176 q^{26} + 40 q^{27} + 152 q^{28} + 48 q^{29} + 16 q^{30} + 24 q^{31} + 88 q^{32} - 136 q^{34} - 160 q^{35} - 128 q^{36} + 32 q^{37} - 120 q^{38} + 48 q^{39} + 64 q^{40} + 48 q^{41} + 16 q^{42} - 232 q^{43} + 120 q^{44} - 88 q^{46} + 192 q^{47} + 136 q^{48} + 16 q^{49} + 136 q^{51} - 384 q^{52} - 32 q^{53} + 8 q^{54} + 224 q^{55} - 120 q^{56} + 24 q^{57} + 240 q^{58} - 48 q^{59} + 64 q^{60} - 160 q^{61} - 168 q^{62} + 56 q^{63} - 64 q^{64} - 96 q^{65} - 8 q^{66} + 272 q^{68} + 240 q^{69} + 224 q^{70} + 40 q^{71} + 40 q^{72} + 48 q^{73} - 160 q^{74} - 296 q^{75} + 80 q^{76} - 48 q^{77} - 400 q^{78} - 136 q^{79} - 240 q^{80} - 424 q^{81} - 64 q^{82} - 264 q^{83} - 272 q^{85} + 832 q^{86} + 208 q^{87} + 264 q^{88} + 160 q^{89} + 448 q^{90} + 320 q^{91} + 24 q^{92} - 64 q^{93} + 32 q^{94} + 272 q^{95} - 56 q^{96} + 48 q^{97} - 120 q^{98} - 224 q^{99}+O(q^{100}) \) 8 * q - 8 * q^2 - 8 * q^3 + 16 * q^5 - 8 * q^6 + 8 * q^7 - 24 * q^8 - 16 * q^9 + 16 * q^10 - 8 * q^11 + 48 * q^12 + 16 * q^13 + 8 * q^14 - 16 * q^15 + 56 * q^18 - 80 * q^20 - 64 * q^21 - 104 * q^22 - 56 * q^23 - 80 * q^24 + 64 * q^25 + 176 * q^26 + 40 * q^27 + 152 * q^28 + 48 * q^29 + 16 * q^30 + 24 * q^31 + 88 * q^32 - 136 * q^34 - 160 * q^35 - 128 * q^36 + 32 * q^37 - 120 * q^38 + 48 * q^39 + 64 * q^40 + 48 * q^41 + 16 * q^42 - 232 * q^43 + 120 * q^44 - 88 * q^46 + 192 * q^47 + 136 * q^48 + 16 * q^49 + 136 * q^51 - 384 * q^52 - 32 * q^53 + 8 * q^54 + 224 * q^55 - 120 * q^56 + 24 * q^57 + 240 * q^58 - 48 * q^59 + 64 * q^60 - 160 * q^61 - 168 * q^62 + 56 * q^63 - 64 * q^64 - 96 * q^65 - 8 * q^66 + 272 * q^68 + 240 * q^69 + 224 * q^70 + 40 * q^71 + 40 * q^72 + 48 * q^73 - 160 * q^74 - 296 * q^75 + 80 * q^76 - 48 * q^77 - 400 * q^78 - 136 * q^79 - 240 * q^80 - 424 * q^81 - 64 * q^82 - 264 * q^83 - 272 * q^85 + 832 * q^86 + 208 * q^87 + 264 * q^88 + 160 * q^89 + 448 * q^90 + 320 * q^91 + 24 * q^92 - 64 * q^93 + 32 * q^94 + 272 * q^95 - 56 * q^96 + 48 * q^97 - 120 * q^98 - 224 * q^99

Introduction

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