LMFDB - Embedded newform 690.2.q.a.11.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [690,2,Mod(11,690)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(690, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 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("690.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 690 = 2 \cdot 3 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	690.q (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.50967773947$
Analytic rank:	$0$
Dimension:	$160$
Relative dimension:	$16$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.4
Character	$\chi$	$=$	690.11
Dual form			690.2.q.a.251.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.540641 - 0.841254i) q^{2} +(-0.717428 + 1.57648i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.71409 - 0.248772i) q^{6} +(3.34933 - 2.90221i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-1.97059 - 2.26203i) q^{9} +O(q^{10})$	\(q+(-0.540641 - 0.841254i) q^{2} +(-0.717428 + 1.57648i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.71409 - 0.248772i) q^{6} +(3.34933 - 2.90221i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-1.97059 - 2.26203i) q^{9} +(0.755750 + 0.654861i) q^{10} +(-2.16703 - 1.39266i) q^{11} +(-1.13599 - 1.30749i) q^{12} +(-3.44698 + 3.97803i) q^{13} +(-4.25228 - 1.24858i) q^{14} +(0.244221 - 1.71475i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-1.32705 - 2.90584i) q^{17} +(-0.837554 + 2.88071i) q^{18} +(2.61627 + 1.19481i) q^{19} +(0.142315 - 0.989821i) q^{20} +(2.17238 + 7.36229i) q^{21} +2.57595i q^{22} +(-3.05423 - 3.69752i) q^{23} +(-0.485769 + 1.66254i) q^{24} +(0.841254 - 0.540641i) q^{25} +(5.21011 + 0.749101i) q^{26} +(4.97980 - 1.48377i) q^{27} +(1.24858 + 4.25228i) q^{28} +(2.44879 - 1.11833i) q^{29} +(-1.57457 + 0.721610i) q^{30} +(-0.885575 - 6.15931i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(3.75020 - 2.41714i) q^{33} +(-1.72709 + 2.68740i) q^{34} +(-2.39601 + 3.72827i) q^{35} +(2.87623 - 0.852836i) q^{36} +(2.30624 - 7.85434i) q^{37} +(-0.409323 - 2.84691i) q^{38} +(-3.79833 - 8.28806i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(-1.17803 - 4.01201i) q^{41} +(5.01908 - 5.80788i) q^{42} +(-5.93426 - 0.853218i) q^{43} +(2.16703 - 1.39266i) q^{44} +(2.52806 + 1.61522i) q^{45} +(-1.45931 + 4.56841i) q^{46} -9.44878i q^{47} +(1.66124 - 0.490180i) q^{48} +(1.79898 - 12.5122i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(5.53307 - 0.00734397i) q^{51} +(-2.18662 - 4.78802i) q^{52} +(0.843386 + 0.973319i) q^{53} +(-3.94051 - 3.38709i) q^{54} +(2.47161 + 0.725729i) q^{55} +(2.90221 - 3.34933i) q^{56} +(-3.76058 + 3.26731i) q^{57} +(-2.26471 - 1.45544i) q^{58} +(5.85202 + 5.07080i) q^{59} +(1.45834 + 0.934483i) q^{60} +(-3.49755 + 0.502871i) q^{61} +(-4.70276 + 4.07497i) q^{62} +(-13.1651 - 1.85719i) q^{63} +(0.959493 - 0.281733i) q^{64} +(2.18662 - 4.78802i) q^{65} +(-4.06094 - 1.84806i) q^{66} +(-1.36405 - 2.12251i) q^{67} +3.19452 q^{68} +(8.02027 - 2.16223i) q^{69} +4.43180 q^{70} +(7.57539 + 11.7875i) q^{71} +(-2.27246 - 1.95856i) q^{72} +(6.91362 - 15.1387i) q^{73} +(-7.85434 + 2.30624i) q^{74} +(0.248772 + 1.71409i) q^{75} +(-2.17367 + 1.88350i) q^{76} +(-11.2999 + 1.62468i) q^{77} +(-4.91883 + 7.67623i) q^{78} +(9.92394 + 8.59914i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-1.23352 + 8.91507i) q^{81} +(-2.73822 + 3.16008i) q^{82} +(-14.6519 - 4.30219i) q^{83} +(-7.59942 - 1.08234i) q^{84} +(2.09197 + 2.41426i) q^{85} +(2.49053 + 5.45350i) q^{86} +(0.00618887 + 4.66280i) q^{87} +(-2.34317 - 1.07009i) q^{88} +(-1.35665 + 9.43573i) q^{89} +(-0.00796371 - 2.99999i) q^{90} +23.3276i q^{91} +(4.63216 - 1.24222i) q^{92} +(10.3454 + 3.02277i) q^{93} +(-7.94882 + 5.10840i) q^{94} +(-2.84691 - 0.409323i) q^{95} +(-1.31050 - 1.13251i) q^{96} +(-2.78804 - 9.49521i) q^{97} +(-11.4985 + 5.25121i) q^{98} +(1.12009 + 7.64625i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	$ 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) $ 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/690\mathbb{Z}\right)^\times$.

$n$	$277$	$461$	$511$
$\chi(n)$	$1$	$-1$	$e\left(\frac{9}{22}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$2$	−0.540641	−	0.841254i	−0.382291	−	0.594856i
$3$	−0.717428	+	1.57648i	−0.414207	+	0.910183i
$3$	−0.717428	+	1.57648i	−0.414207	+	0.910183i
$4$	−0.415415	+	0.909632i	−0.207708	+	0.454816i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$5$	−0.959493	+	0.281733i	−0.429098	+	0.125995i
$6$	1.71409	−	0.248772i	0.699775	−	0.101561i
$7$	3.34933	−	2.90221i	1.26593	−	1.09693i	0.275156	−	0.961400i	$-0.411271\pi$
$7$	3.34933	−	2.90221i	1.26593	−	1.09693i	0.990773	−	0.135534i	$-0.0432749\pi$
$8$	0.989821	−	0.142315i	0.349955	−	0.0503159i
$9$	−1.97059	−	2.26203i	−0.656865	−	0.754009i
$10$	0.755750	+	0.654861i	0.238989	+	0.207085i
$11$	−2.16703	−	1.39266i	−0.653383	−	0.419904i	0.171518	−	0.985181i	$-0.445133\pi$
$11$	−2.16703	−	1.39266i	−0.653383	−	0.419904i	−0.824901	+	0.565277i	$0.808769\pi$
$12$	−1.13599	−	1.30749i	−0.327932	−	0.377440i
$13$	−3.44698	+	3.97803i	−0.956021	+	1.10331i	0.0385507	+	0.999257i	$0.487726\pi$
$13$	−3.44698	+	3.97803i	−0.956021	+	1.10331i	−0.994572	+	0.104051i	$0.966820\pi$
$14$	−4.25228	−	1.24858i	−1.13647	−	0.333698i
$15$	0.244221	−	1.71475i	0.0630575	−	0.442746i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	−1.32705	−	2.90584i	−0.321857	−	0.704770i	0.677674	−	0.735362i	$-0.262988\pi$
$17$	−1.32705	−	2.90584i	−0.321857	−	0.704770i	−0.999532	+	0.0305925i	$0.990261\pi$
$18$	−0.837554	+	2.88071i	−0.197413	+	0.678990i
$19$	2.61627	+	1.19481i	0.600213	+	0.274108i	0.692262	−	0.721646i	$-0.256614\pi$
$19$	2.61627	+	1.19481i	0.600213	+	0.274108i	−0.0920489	+	0.995754i	$0.529342\pi$
$20$	0.142315	−	0.989821i	0.0318226	−	0.221331i
$21$	2.17238	+	7.36229i	0.474053	+	1.60658i
$22$			2.57595i			0.549194i
$23$	−3.05423	−	3.69752i	−0.636851	−	0.770987i
$23$	−3.05423	−	3.69752i	−0.636851	−	0.770987i
$24$	−0.485769	+	1.66254i	−0.0991572	+	0.339364i
$25$	0.841254	−	0.540641i	0.168251	−	0.108128i
$26$	5.21011	+	0.749101i	1.02179	+	0.146911i
$27$	4.97980	−	1.48377i	0.958364	−	0.285551i
$28$	1.24858	+	4.25228i	0.235960	+	0.803606i
$29$	2.44879	−	1.11833i	0.454729	−	0.207668i	−0.174864	−	0.984593i	$-0.555949\pi$
$29$	2.44879	−	1.11833i	0.454729	−	0.207668i	0.629594	+	0.776925i	$0.283221\pi$
$30$	−1.57457	+	0.721610i	−0.287476	+	0.131747i
$31$	−0.885575	−	6.15931i	−0.159054	−	1.10624i	−0.900382	−	0.435101i	$-0.856713\pi$
$31$	−0.885575	−	6.15931i	−0.159054	−	1.10624i	0.741328	−	0.671143i	$-0.234196\pi$
$32$	−0.281733	+	0.959493i	−0.0498038	+	0.169616i
$33$	3.75020	−	2.41714i	0.652825	−	0.420771i
$34$	−1.72709	+	2.68740i	−0.296193	+	0.460886i
$35$	−2.39601	+	3.72827i	−0.405000	+	0.630192i
$36$	2.87623	−	0.852836i	0.479371	−	0.142139i
$37$	2.30624	−	7.85434i	0.379144	−	1.29124i	−0.520216	−	0.854035i	$-0.674148\pi$
$37$	2.30624	−	7.85434i	0.379144	−	1.29124i	0.899359	−	0.437210i	$-0.144033\pi$
$38$	−0.409323	−	2.84691i	−0.0664010	−	0.461829i
$39$	−3.79833	−	8.28806i	−0.608220	−	1.32715i
$40$	−0.909632	+	0.415415i	−0.143825	+	0.0656829i
$41$	−1.17803	−	4.01201i	−0.183978	−	0.626570i	−0.998895	−	0.0469935i	$-0.985036\pi$
$41$	−1.17803	−	4.01201i	−0.183978	−	0.626570i	0.814918	−	0.579577i	$-0.196782\pi$
$42$	5.01908	−	5.80788i	0.774460	−	0.896175i
$43$	−5.93426	−	0.853218i	−0.904966	−	0.130114i	−0.325909	−	0.945401i	$-0.605670\pi$
$43$	−5.93426	−	0.853218i	−0.904966	−	0.130114i	−0.579057	+	0.815287i	$0.696579\pi$
$44$	2.16703	−	1.39266i	0.326692	−	0.209952i
$45$	2.52806	+	1.61522i	0.376861	+	0.240782i
$46$	−1.45931	+	4.56841i	−0.215164	+	0.673576i
$47$		−	9.44878i		−	1.37825i	−0.724644	−	0.689123i	$-0.757996\pi$
$47$		−	9.44878i		−	1.37825i	0.724644	−	0.689123i	$-0.242004\pi$
$48$	1.66124	−	0.490180i	0.239780	−	0.0707515i
$49$	1.79898	−	12.5122i	0.256998	−	1.78746i
$50$	−0.909632	−	0.415415i	−0.128641	−	0.0587486i
$51$	5.53307	−	0.00734397i	0.774785	−	0.00102836i
$52$	−2.18662	−	4.78802i	−0.303229	−	0.663979i
$53$	0.843386	+	0.973319i	0.115848	+	0.133696i	0.810711	−	0.585446i	$-0.199081\pi$
$53$	0.843386	+	0.973319i	0.115848	+	0.133696i	−0.694863	+	0.719142i	$0.744535\pi$
$54$	−3.94051	−	3.38709i	−0.536235	−	0.460925i
$55$	2.47161	+	0.725729i	0.333271	+	0.0978573i
$56$	2.90221	−	3.34933i	0.387825	−	0.447573i
$57$	−3.76058	+	3.26731i	−0.498101	+	0.432766i
$58$	−2.26471	−	1.45544i	−0.297371	−	0.191109i
$59$	5.85202	+	5.07080i	0.761868	+	0.660162i	0.946521	−	0.322642i	$-0.104571\pi$
$59$	5.85202	+	5.07080i	0.761868	+	0.660162i	−0.184654	+	0.982804i	$0.559116\pi$
$60$	1.45834	+	0.934483i	0.188270	+	0.120641i
$61$	−3.49755	+	0.502871i	−0.447815	+	0.0643861i	−0.362533	−	0.931971i	$-0.618088\pi$
$61$	−3.49755	+	0.502871i	−0.447815	+	0.0643861i	−0.0852816	+	0.996357i	$0.527179\pi$
$62$	−4.70276	+	4.07497i	−0.597251	+	0.517521i
$63$	−13.1651	−	1.85719i	−1.65864	−	0.233984i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	2.18662	−	4.78802i	0.271216	−	0.593881i
$66$	−4.06094	−	1.84806i	−0.499867	−	0.227480i
$67$	−1.36405	−	2.12251i	−0.166645	−	0.259305i	0.747880	−	0.663834i	$-0.231072\pi$
$67$	−1.36405	−	2.12251i	−0.166645	−	0.259305i	−0.914525	+	0.404529i	$0.867436\pi$
$68$	3.19452			0.387393
$69$	8.02027	−	2.16223i	0.965527	−	0.260302i
$70$	4.43180			0.529702
$71$	7.57539	+	11.7875i	0.899034	+	1.39892i	0.916914	+	0.399084i	$0.130672\pi$
$71$	7.57539	+	11.7875i	0.899034	+	1.39892i	−0.0178804	+	0.999840i	$0.505692\pi$
$72$	−2.27246	−	1.95856i	−0.267811	−	0.230818i
$73$	6.91362	−	15.1387i	0.809177	−	1.77185i	0.198273	−	0.980147i	$-0.436467\pi$
$73$	6.91362	−	15.1387i	0.809177	−	1.77185i	0.610904	−	0.791705i	$-0.290806\pi$
$74$	−7.85434	+	2.30624i	−0.913048	+	0.268095i
$75$	0.248772	+	1.71409i	0.0287257	+	0.197926i
$76$	−2.17367	+	1.88350i	−0.249337	+	0.216052i
$77$	−11.2999	+	1.62468i	−1.28774	+	0.185150i
$78$	−4.91883	+	7.67623i	−0.556947	+	0.869161i
$79$	9.92394	+	8.59914i	1.11653	+	0.967479i	0.999670	−	0.0256696i	$-0.00817179\pi$
$79$	9.92394	+	8.59914i	1.11653	+	0.967479i	0.116860	+	0.993148i	$0.462717\pi$
$80$	0.841254	+	0.540641i	0.0940550	+	0.0604455i
$81$	−1.23352	+	8.91507i	−0.137058	+	0.990563i
$82$	−2.73822	+	3.16008i	−0.302386	+	0.348972i
$83$	−14.6519	−	4.30219i	−1.60826	−	0.472226i	−0.650427	−	0.759569i	$-0.725410\pi$
$83$	−14.6519	−	4.30219i	−1.60826	−	0.472226i	−0.957828	+	0.287342i	$0.907228\pi$
$84$	−7.59942	−	1.08234i	−0.829164	−	0.118093i
$85$	2.09197	+	2.41426i	0.226906	+	0.261863i
$86$	2.49053	+	5.45350i	0.268561	+	0.588066i
$87$	0.00618887	+	4.66280i	0.000663517	+	0.499904i
$88$	−2.34317	−	1.07009i	−0.249782	−	0.114072i
$89$	−1.35665	+	9.43573i	−0.143805	+	1.00019i	0.782295	+	0.622908i	$0.214049\pi$
$89$	−1.35665	+	9.43573i	−0.143805	+	1.00019i	−0.926100	+	0.377278i	$0.876860\pi$
$90$	−0.00796371	−	2.99999i	−0.000839448	−	0.316227i
$91$			23.3276i			2.44540i
$92$	4.63216	−	1.24222i	0.482936	−	0.129510i
$93$	10.3454	+	3.02277i	1.07277	+	0.313446i
$94$	−7.94882	+	5.10840i	−0.819858	+	0.526891i
$95$	−2.84691	−	0.409323i	−0.292086	−	0.0419957i
$96$	−1.31050	−	1.13251i	−0.133752	−	0.115587i
$97$	−2.78804	−	9.49521i	−0.283083	−	0.964092i	−0.971155	−	0.238450i	$-0.923361\pi$
$97$	−2.78804	−	9.49521i	−0.283083	−	0.964092i	0.688072	−	0.725643i	$-0.258457\pi$
$98$	−11.4985	+	5.25121i	−1.16153	+	0.530452i
$99$	1.12009	+	7.64625i	0.112573	+	0.768477i
$100$	0.142315	+	0.989821i	0.0142315	+	0.0989821i
$101$	3.89748	−	13.2736i	0.387813	−	1.32077i	−0.502166	−	0.864771i	$-0.667463\pi$
$101$	3.89748	−	13.2736i	0.387813	−	1.32077i	0.889980	−	0.456000i	$-0.150718\pi$
$102$	−2.99758	−	4.65074i	−0.296805	−	0.460492i
$103$	2.14029	−	3.33036i	0.210889	−	0.328150i	−0.719653	−	0.694333i	$-0.755699\pi$
$103$	2.14029	−	3.33036i	0.210889	−	0.328150i	0.930543	+	0.366183i	$0.119336\pi$
$104$	−2.84577	+	4.42810i	−0.279050	+	0.434211i
$105$	−4.15858	−	6.45204i	−0.405836	−	0.629654i
$106$	0.362839	−	1.23572i	0.0352421	−	0.120023i
$107$	1.26739	+	8.81486i	0.122523	+	0.852164i	0.954682	+	0.297628i	$0.0961954\pi$
$107$	1.26739	+	8.81486i	0.122523	+	0.852164i	−0.832159	+	0.554537i	$0.812895\pi$
$108$	−0.719004	+	5.14617i	−0.0691862	+	0.495190i
$109$	−4.69359	+	2.14349i	−0.449564	+	0.205309i	−0.627314	−	0.778767i	$-0.715846\pi$
$109$	−4.69359	+	2.14349i	−0.449564	+	0.205309i	0.177749	+	0.984076i	$0.443118\pi$
$110$	−0.725729	−	2.47161i	−0.0691956	−	0.235658i
$111$	10.7277	+	9.27067i	1.01822	+	0.879933i
$112$	−4.38669	−	0.630711i	−0.414503	−	0.0595966i
$113$	−15.6924	+	10.0849i	−1.47622	+	0.948709i	−0.478726	+	0.877965i	$0.658901\pi$
$113$	−15.6924	+	10.0849i	−1.47622	+	0.948709i	−0.997494	+	0.0707446i	$0.977462\pi$
$114$	4.78176	+	1.39716i	0.447853	+	0.130856i
$115$	3.97223	+	2.68727i	0.370412	+	0.250589i
$116$			2.69207i			0.249952i
$117$	15.7910	−	0.0419185i	1.45988	−	0.00387536i
$118$	1.10199	−	7.66451i	0.101446	−	0.705576i
$119$	−12.8781	−	5.88123i	−1.18053	−	0.539132i
$120$	−0.00229893	−	1.73205i	−0.000209862	−	0.158114i
$121$	−1.81307	−	3.97007i	−0.164825	−	0.360915i
$122$	2.31396	+	2.67045i	0.209496	+	0.241771i
$123$	7.17001	+	1.02118i	0.646498	+	0.0920768i
$124$	5.97059	+	1.75312i	0.536174	+	0.157435i
$125$	−0.654861	+	0.755750i	−0.0585725	+	0.0675963i
$126$	5.55520	+	12.0792i	0.494896	+	1.07610i
$127$	−4.37295	−	2.81032i	−0.388037	−	0.249376i	0.332048	−	0.943263i	$-0.392261\pi$
$127$	−4.37295	−	2.81032i	−0.388037	−	0.249376i	−0.720084	+	0.693887i	$0.755897\pi$
$128$	−0.755750	−	0.654861i	−0.0667995	−	0.0578821i
$129$	5.60249	−	8.74313i	0.493271	−	0.769790i
$130$	−5.21011	+	0.749101i	−0.456957	+	0.0657005i
$131$	14.0624	−	12.1852i	1.22864	−	1.06462i	0.232894	−	0.972502i	$-0.425181\pi$
$131$	14.0624	−	12.1852i	1.22864	−	1.06462i	0.995748	−	0.0921218i	$-0.0293649\pi$
$132$	0.640824	+	4.41542i	0.0557766	+	0.384313i
$133$	12.2303	−	3.59115i	1.06050	−	0.311392i
$134$	−1.04810	+	2.29503i	−0.0905424	+	0.198260i
$135$	−4.36006	+	2.82664i	−0.375254	+	0.243278i
$136$	−1.72709	−	2.68740i	−0.148097	−	0.230443i
$137$	−3.40065			−0.290537			−0.145268	−	0.989392i	$-0.546405\pi$
$137$	−3.40065			−0.290537			−0.145268	+	0.989392i	$0.546405\pi$
$138$	−6.15507	−	5.57809i	−0.523955	−	0.474839i
$139$	−0.163090			−0.0138331			−0.00691655	−	0.999976i	$-0.502202\pi$
$139$	−0.163090			−0.0138331			−0.00691655	+	0.999976i	$0.502202\pi$
$140$	−2.39601	−	3.72827i	−0.202500	−	0.315096i
$141$	14.8958	+	6.77882i	1.25446	+	0.570880i
$142$	5.82075	−	12.7457i	0.488466	−	1.06959i
$143$	13.0098	−	3.82001i	1.08793	−	0.319446i
$144$	−0.419060	+	2.97059i	−0.0349217	+	0.247549i
$145$	−2.03453	+	1.76293i	−0.168959	+	0.146403i
$146$	−16.4733	+	2.36850i	−1.36334	+	0.196018i
$147$	18.4346	+	11.8127i	1.52046	+	0.974293i
$148$	6.18651	+	5.36064i	0.508528	+	0.440642i
$149$	−5.85220	−	3.76098i	−0.479431	−	0.308112i	0.278511	−	0.960433i	$-0.410159\pi$
$149$	−5.85220	−	3.76098i	−0.479431	−	0.308112i	−0.757943	+	0.652321i	$0.773795\pi$
$150$	1.30749	−	1.13599i	0.106756	−	0.0927531i
$151$	−15.2371	+	17.5845i	−1.23998	+	1.43101i	−0.376655	+	0.926354i	$0.622926\pi$
$151$	−15.2371	+	17.5845i	−1.23998	+	1.43101i	−0.863321	+	0.504655i	$0.831620\pi$
$152$	2.75968	+	0.810314i	0.223839	+	0.0657252i
$153$	−3.95800	+	8.72806i	−0.319985	+	0.705621i
$154$	7.47596	+	8.62771i	0.602430	+	0.695241i
$155$	2.58498	+	5.66032i	0.207631	+	0.454648i
$156$	9.11697	−	0.0121008i	0.729942	−	0.000968842i
$157$	−0.271188	−	0.123848i	−0.0216432	−	0.00988411i	0.404564	−	0.914510i	$-0.367423\pi$
$157$	−0.271188	−	0.123848i	−0.0216432	−	0.00988411i	−0.426207	+	0.904626i	$0.640151\pi$
$158$	1.86877	−	12.9976i	0.148671	−	1.03403i
$159$	−2.13949	+	0.631297i	−0.169673	+	0.0500651i
$160$		−	1.00000i		−	0.0790569i
$161$	−20.9606	−	3.52021i	−1.65193	−	0.277431i
$162$	8.16672	−	3.78215i	0.641638	−	0.297153i
$163$	−11.8745	+	7.63130i	−0.930085	+	0.597729i	−0.915567	−	0.402165i	$-0.868258\pi$
$163$	−11.8745	+	7.63130i	−0.930085	+	0.597729i	−0.0145180	+	0.999895i	$0.504621\pi$
$164$	4.13882	+	0.595073i	0.323188	+	0.0464674i
$165$	−2.91730	+	3.37579i	−0.227111	+	0.262805i
$166$	4.30219	+	14.6519i	0.333914	+	1.13721i
$167$	−11.3452	+	5.18119i	−0.877919	+	0.400932i	−0.802804	−	0.596242i	$-0.796660\pi$
$167$	−11.3452	+	5.18119i	−0.877919	+	0.400932i	−0.0751151	+	0.997175i	$0.523932\pi$
$168$	3.19803	+	6.97819i	0.246734	+	0.538379i
$169$	−2.09294	−	14.5567i	−0.160996	−	1.11975i
$170$	0.900001	−	3.06512i	0.0690269	−	0.235084i
$171$	−2.45291	−	8.27255i	−0.187579	−	0.632617i
$172$	3.24129	−	5.04355i	0.247146	−	0.384567i
$173$	0.947452	−	1.47426i	0.0720334	−	0.112086i	−0.803368	−	0.595483i	$-0.796961\pi$
$173$	0.947452	−	1.47426i	0.0720334	−	0.112086i	0.875401	+	0.483397i	$0.160597\pi$
$174$	3.91925	−	2.52611i	0.297118	−	0.191504i
$175$	1.24858	−	4.25228i	0.0943840	−	0.321442i
$176$	0.366596	+	2.54973i	0.0276332	+	0.192193i
$177$	−12.1924	+	5.58767i	−0.916439	+	0.419995i
$178$	8.67131	−	3.96005i	0.649942	−	0.296819i
$179$	0.592975	+	2.01949i	0.0443210	+	0.150944i	0.978681	−	0.205388i	$-0.0658456\pi$
$179$	0.592975	+	2.01949i	0.0443210	+	0.150944i	−0.934360	+	0.356331i	$0.884027\pi$
$180$	−2.51945	+	1.62862i	−0.187788	+	0.121390i
$181$	7.84539	+	1.12800i	0.583143	+	0.0838433i	0.427572	−	0.903981i	$-0.359369\pi$
$181$	7.84539	+	1.12800i	0.583143	+	0.0838433i	0.155571	+	0.987825i	$0.450278\pi$
$182$	19.6245	−	12.6119i	1.45466	−	0.934854i
$183$	1.71647	−	5.87459i	0.126885	−	0.434262i
$184$	−3.54936	−	3.22523i	−0.261662	−	0.237767i
$185$			8.18592i			0.601841i
$186$	−3.05022	−	10.3373i	−0.223653	−	0.757969i
$187$	−1.17110	+	8.14517i	−0.0856392	+	0.595634i
$188$	8.59491	+	3.92516i	0.626848	+	0.286272i
$189$	12.3728	−	19.4221i	0.899990	−	1.41275i
$190$	1.19481	+	2.61627i	0.0866806	+	0.189804i
$191$	9.35325	+	10.7942i	0.676778	+	0.781043i	0.985421	−	0.170135i	$-0.0544203\pi$
$191$	9.35325	+	10.7942i	0.676778	+	0.781043i	−0.308643	+	0.951178i	$0.599875\pi$
$192$	−0.244221	+	1.71475i	−0.0176251	+	0.123751i
$193$	12.7660	+	3.74844i	0.918918	+	0.269819i	0.706790	−	0.707423i	$-0.250143\pi$
$193$	12.7660	+	3.74844i	0.918918	+	0.269819i	0.212128	+	0.977242i	$0.431961\pi$
$194$	−6.48055	+	7.47895i	−0.465276	+	0.536957i
$195$	5.97949	+	6.88222i	0.428200	+	0.492846i
$196$	10.6342	+	6.83417i	0.759584	+	0.488155i
$197$	−3.69131	−	3.19854i	−0.262995	−	0.227886i	0.513374	−	0.858165i	$-0.328395\pi$
$197$	−3.69131	−	3.19854i	−0.262995	−	0.227886i	−0.776369	+	0.630279i	$0.782941\pi$
$198$	5.82687	−	5.07615i	0.414097	−	0.360746i
$199$	−17.1426	+	2.46473i	−1.21521	+	0.174720i	−0.719950	−	0.694026i	$-0.755835\pi$
$199$	−17.1426	+	2.46473i	−1.21521	+	0.174720i	−0.495257	+	0.868746i	$0.664926\pi$
$200$	0.755750	−	0.654861i	0.0534396	−	0.0463056i
$201$	4.32470	−	0.627658i	0.305041	−	0.0442716i
$202$	−13.2736	+	3.89748i	−0.933926	+	0.274225i
$203$	4.95620	−	10.8526i	0.347857	−	0.761701i
$204$	−2.29184	+	5.03611i	−0.160461	+	0.352598i
$205$	2.26063	+	3.51760i	0.157889	+	0.245680i
$206$	−3.95881			−0.275823
$207$	−2.34524	+	14.1951i	−0.163006	+	0.986625i
$208$	5.26369			0.364971
$209$	−4.00555	−	6.23277i	−0.277070	−	0.431129i
$210$	−3.17950	+	6.98666i	−0.219406	+	0.482125i
$211$	3.79743	−	8.31520i	0.261426	−	0.572442i	−0.732715	−	0.680535i	$-0.761747\pi$
$211$	3.79743	−	8.31520i	0.261426	−	0.572442i	0.994141	+	0.108093i	$0.0344745\pi$
$212$	−1.23572	+	0.362839i	−0.0848694	+	0.0249199i
$213$	−24.0177	+	3.48576i	−1.64566	+	0.238840i
$214$	6.73033	−	5.83186i	0.460076	−	0.398658i
$215$	5.93426	−	0.853218i	0.404713	−	0.0581890i
$216$	4.71795	−	2.17736i	0.321016	−	0.148151i
$217$	−20.8417	−	18.0594i	−1.41483	−	1.22596i
$218$	4.34076	+	2.78964i	0.293994	+	0.188938i
$219$	18.9059	+	21.7601i	1.27754	+	1.47041i
$220$	−1.68689	+	1.94677i	−0.113730	+	0.131251i
$221$	16.1338	+	4.73733i	1.08528	+	0.318667i
$222$	1.99917	−	14.0368i	0.134176	−	0.942087i
$223$	13.6758	+	15.7827i	0.915796	+	1.05689i	0.998181	+	0.0602846i	$0.0192008\pi$
$223$	13.6758	+	15.7827i	0.915796	+	1.05689i	−0.0823850	+	0.996601i	$0.526254\pi$
$224$	1.84104	+	4.03131i	0.123009	+	0.269353i
$225$	−2.88071	−	0.837554i	−0.192047	−	0.0558369i
$226$	16.9679	+	7.74900i	1.12869	+	0.515456i
$227$	−3.69776	+	25.7185i	−0.245429	+	1.70700i	0.378570	+	0.925572i	$0.376416\pi$
$227$	−3.69776	+	25.7185i	−0.245429	+	1.70700i	−0.624000	+	0.781425i	$0.714493\pi$
$228$	−1.40985	−	4.77803i	−0.0933695	−	0.316433i
$229$		−	0.417866i		−	0.0276134i	−0.999905	−	0.0138067i	$-0.995605\pi$
$229$		−	0.417866i		−	0.0276134i	0.999905	−	0.0138067i	$-0.00439495\pi$
$230$	0.113129	−	4.79450i	0.00745953	−	0.316140i
$231$	5.54559	−	18.9797i	0.364873	−	1.24877i
$232$	2.26471	−	1.45544i	0.148686	−	0.0955545i
$233$	22.1892	+	3.19033i	1.45366	+	0.209005i	0.823438	−	0.567406i	$-0.192053\pi$
$233$	22.1892	+	3.19033i	1.45366	+	0.209005i	0.630226	+	0.776412i	$0.282962\pi$
$234$	−8.57253	−	13.2616i	−0.560404	−	0.866937i
$235$	2.66203	+	9.06604i	0.173652	+	0.591403i
$236$	−7.04358	+	3.21669i	−0.458498	+	0.209389i
$237$	−20.6761	+	9.47565i	−1.34306	+	0.615509i
$238$	2.01482	+	14.0134i	0.130601	+	0.908353i
$239$	−6.36863	+	21.6896i	−0.411952	+	1.40298i	0.448652	+	0.893707i	$0.351904\pi$
$239$	−6.36863	+	21.6896i	−0.411952	+	1.40298i	−0.860604	+	0.509274i	$0.829914\pi$
$240$	−1.45585	+	0.938351i	−0.0939747	+	0.0605703i
$241$	1.97912	−	3.07957i	0.127486	−	0.198372i	−0.771643	−	0.636056i	$-0.780565\pi$
$241$	1.97912	−	3.07957i	0.127486	−	0.198372i	0.899129	+	0.437684i	$0.144201\pi$
$242$	−2.35962	+	3.67163i	−0.151682	+	0.236022i
$243$	−13.1695	−	8.34054i	−0.844823	−	0.535046i
$244$	0.995505	−	3.39038i	0.0637307	−	0.217047i
$245$	1.79898	+	12.5122i	0.114933	+	0.799375i
$246$	−3.01733	−	6.58389i	−0.192378	−	0.419774i
$247$	−13.7712	+	6.28911i	−0.876242	+	0.400166i
$248$	−1.75312	−	5.97059i	−0.111323	−	0.379133i
$249$	17.2940	−	20.0120i	1.09596	−	1.26821i
$250$	0.989821	+	0.142315i	0.0626018	+	0.00900078i
$251$	−0.728332	+	0.468071i	−0.0459719	+	0.0295444i	−0.563425	−	0.826167i	$-0.690517\pi$
$251$	−0.728332	+	0.468071i	−0.0459719	+	0.0295444i	0.517453	+	0.855712i	$0.326880\pi$
$252$	7.15832	−	11.2038i	0.450932	−	0.705776i
$253$	1.46919	+	12.2661i	0.0923674	+	0.771166i
$254$			5.19814i			0.326160i
$255$	−5.30687	+	1.56589i	−0.332329	+	0.0980600i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	12.1419	+	5.54503i	0.757393	+	0.345890i	0.756400	−	0.654110i	$-0.226957\pi$
$257$	12.1419	+	5.54503i	0.757393	+	0.345890i	0.000993113		1.00000i	$0.499684\pi$
$258$	−10.3841	+	0.0137827i	−0.646487	+	0.000858074i
$259$	−15.0706	−	33.0000i	−0.936441	−	2.05052i
$260$	3.44698	+	3.97803i	0.213773	+	0.246707i
$261$	−7.35526	−	3.33547i	−0.455279	−	0.206460i
$262$	−17.8536	−	5.24228i	−1.10300	−	0.323869i
$263$	6.43138	−	7.42221i	0.396576	−	0.457673i	−0.521984	−	0.852955i	$-0.674808\pi$
$263$	6.43138	−	7.42221i	0.396576	−	0.457673i	0.918560	+	0.395283i	$0.129353\pi$
$264$	3.36803	−	2.92625i	0.207288	−	0.180098i
$265$	−1.08344	−	0.696284i	−0.0665551	−	0.0427724i
$266$	−9.63329	−	8.34729i	−0.590655	−	0.511805i
$267$	−13.9020	−	8.90820i	−0.850787	−	0.545173i
$268$	2.49735	−	0.359064i	0.152550	−	0.0219333i
$269$	15.8033	−	13.6936i	0.963544	−	0.834916i	−0.0227787	−	0.999741i	$-0.507251\pi$
$269$	15.8033	−	13.6936i	0.963544	−	0.834916i	0.986323	+	0.164825i	$0.0527058\pi$
$270$	4.73514	+	2.13972i	0.288172	+	0.130219i
$271$	8.81469	−	2.58823i	0.535455	−	0.157224i	−0.00281554	−	0.999996i	$-0.500896\pi$
$271$	8.81469	−	2.58823i	0.535455	−	0.157224i	0.538270	+	0.842772i	$0.319078\pi$
$272$	−1.32705	+	2.90584i	−0.0804644	+	0.176192i
$273$	−36.7756	−	16.7359i	−2.22576	−	1.01290i
$274$	1.83853	+	2.86081i	0.111070	+	0.172828i
$275$	−2.57595			−0.155336
$276$	−1.36490	+	8.19372i	−0.0821576	+	0.493204i
$277$	−3.19390			−0.191903			−0.0959513	−	0.995386i	$-0.530589\pi$
$277$	−3.19390			−0.191903			−0.0959513	+	0.995386i	$0.530589\pi$
$278$	0.0881730	+	0.137200i	0.00528827	+	0.00822870i
$279$	−12.1874	+	14.1407i	−0.729641	+	0.846581i
$280$	−1.84104	+	4.03131i	−0.110023	+	0.240917i
$281$	−9.90310	+	2.90781i	−0.590769	+	0.173466i	−0.563434	−	0.826161i	$-0.690520\pi$
$281$	−9.90310	+	2.90781i	−0.590769	+	0.173466i	−0.0273349	+	0.999626i	$0.508702\pi$
$282$	−2.35059	−	16.1961i	−0.139976	−	0.964463i
$283$	7.11985	−	6.16939i	0.423231	−	0.366732i	−0.417049	−	0.908884i	$-0.636936\pi$
$283$	7.11985	−	6.16939i	0.423231	−	0.366732i	0.840281	+	0.542152i	$0.182390\pi$
$284$	−13.8693	+	1.99410i	−0.822989	+	0.118328i
$285$	2.68774	−	4.19444i	0.159208	−	0.248457i
$286$	−10.2472	−	8.87926i	−0.605930	−	0.525042i
$287$	−15.5893	−	10.0186i	−0.920209	−	0.591382i
$288$	2.72558	−	1.25348i	0.160606	−	0.0738623i
$289$	4.44980	−	5.13534i	0.261753	−	0.302079i
$290$	2.58302	+	0.758444i	0.151680	+	0.0445374i
$291$	16.9692	+	2.41683i	0.994755	+	0.141677i
$292$	10.8986	+	12.5777i	0.637794	+	0.736054i
$293$	2.07097	+	4.53480i	0.120988	+	0.264926i	0.960429	−	0.278524i	$-0.0898451\pi$
$293$	2.07097	+	4.53480i	0.120988	+	0.264926i	−0.839442	+	0.543450i	$0.817118\pi$
$294$	−0.0290604	−	21.8946i	−0.00169484	−	1.27692i
$295$	−7.04358	−	3.21669i	−0.410093	−	0.187283i
$296$	1.16498	−	8.10260i	0.0677130	−	0.470954i
$297$	−12.8578	−	3.71983i	−0.746083	−	0.215846i
$298$			6.95653i			0.402981i
$299$	25.2367	+	0.595478i	1.45948	+	0.0344374i
$300$	−1.66254	−	0.485769i	−0.0959866	−	0.0280459i
$301$	−22.3520	+	14.3648i	−1.28835	+	0.827972i
$302$	23.0308	+	3.31133i	1.32528	+	0.190546i
$303$	18.1294	+	15.6671i	1.04151	+	0.900054i
$304$	−0.810314	−	2.75968i	−0.0464747	−	0.158278i
$305$	3.21420	−	1.46787i	0.184044	−	0.0840502i
$306$	9.48236	−	1.38906i	0.542071	−	0.0794073i
$307$	−0.935240	−	6.50474i	−0.0533770	−	0.371245i	−0.998949	−	0.0458326i	$-0.985406\pi$
$307$	−0.935240	−	6.50474i	−0.0533770	−	0.371245i	0.945572	−	0.325413i	$-0.105503\pi$
$308$	3.21629	−	10.9537i	0.183265	−	0.624143i
$309$	3.71475	+	5.76343i	0.211325	+	0.327870i
$310$	3.36422	−	5.23482i	0.191075	−	0.297318i
$311$	7.81798	−	12.1650i	0.443317	−	0.689815i	−0.545640	−	0.838020i	$-0.683713\pi$
$311$	7.81798	−	12.1650i	0.443317	−	0.689815i	0.988957	+	0.148205i	$0.0473496\pi$
$312$	−4.93919	−	7.66314i	−0.279626	−	0.433840i
$313$	5.99544	−	20.4186i	0.338882	−	1.15413i	−0.597125	−	0.802148i	$-0.703691\pi$
$313$	5.99544	−	20.4186i	0.338882	−	1.15413i	0.936008	−	0.351979i	$-0.114491\pi$
$314$	0.0424283	+	0.295095i	0.00239437	+	0.0166532i
$315$	13.1550	−	1.92706i	0.741201	−	0.108578i
$316$	−11.9446	+	5.45492i	−0.671937	+	0.306863i
$317$	−2.61178	−	8.89490i	−0.146692	−	0.499587i	0.853061	−	0.521811i	$-0.174743\pi$
$317$	−2.61178	−	8.89490i	−0.146692	−	0.499587i	−0.999753	+	0.0222240i	$0.992925\pi$
$318$	1.68778	+	1.45855i	0.0946458	+	0.0817913i
$319$	−6.86405	−	0.986902i	−0.384313	−	0.0552559i
$320$	−0.841254	+	0.540641i	−0.0470275	+	0.0302227i
$321$	−14.8057	−	4.32602i	−0.826375	−	0.241455i
$322$	8.37079	+	19.5364i	0.466486	+	1.08872i
$323$		−	9.18803i		−	0.511235i
$324$	−7.59701	−	4.82550i	−0.422056	−	0.268083i
$325$	−0.749101	+	5.21011i	−0.0415527	+	0.289005i
$326$	12.8397	+	5.86370i	0.711126	+	0.324760i
$327$	−0.0118622	−	8.93716i	−0.000655980	−	0.494226i
$328$	−1.73701	−	3.80352i	−0.0959103	−	0.210014i
$329$	−27.4224	−	31.6471i	−1.51184	−	1.74476i
$330$	4.41710	+	0.629101i	0.243153	+	0.0346308i
$331$	−14.7539	−	4.33215i	−0.810950	−	0.238116i	−0.150135	−	0.988665i	$-0.547971\pi$
$331$	−14.7539	−	4.33215i	−0.810950	−	0.238116i	−0.660815	+	0.750549i	$0.729789\pi$
$332$	10.0000	−	11.5406i	0.548823	−	0.633375i
$333$	−22.3114	+	10.2609i	−1.22266	+	0.562295i
$334$	10.4924	+	6.74304i	0.574118	+	0.368963i
$335$	1.90678	+	1.65223i	0.104178	+	0.0902711i
$336$	4.14144	−	6.46305i	0.225934	−	0.352588i
$337$	6.57668	−	0.945584i	0.358255	−	0.0515092i	0.0391623	−	0.999233i	$-0.487531\pi$
$337$	6.57668	−	0.945584i	0.358255	−	0.0515092i	0.319092	+	0.947724i	$0.396622\pi$
$338$	−11.1144	+	9.63066i	−0.604543	+	0.523839i
$339$	−4.64050	−	31.9741i	−0.252037	−	1.73659i
$340$	−3.06512	+	0.900001i	−0.166230	+	0.0488094i
$341$	−6.65878	+	14.5807i	−0.360593	+	0.789589i
$342$	−5.63317	+	6.53600i	−0.304607	+	0.353426i
$343$	−13.5156	−	21.0307i	−0.729773	−	1.13555i
$344$	−5.99528			−0.323244
$345$	−7.08622	+	4.33422i	−0.381509	+	0.233347i
$346$	−1.75246			−0.0942129
$347$	−14.0907	−	21.9256i	−0.756429	−	1.17703i	−0.979346	−	0.202189i	$-0.935194\pi$
$347$	−14.0907	−	21.9256i	−0.756429	−	1.17703i	0.222917	−	0.974837i	$-0.428442\pi$
$348$	−4.24400	−	1.93137i	−0.227502	−	0.103532i
$349$	−10.4303	+	22.8391i	−0.558319	+	1.22255i	0.394468	+	0.918910i	$0.370929\pi$
$349$	−10.4303	+	22.8391i	−0.558319	+	1.22255i	−0.952787	+	0.303639i	$0.901798\pi$
$350$	−4.25228	+	1.24858i	−0.227294	+	0.0667396i
$351$	−11.2628	+	24.9243i	−0.601166	+	1.33036i
$352$	1.94677	−	1.68689i	0.103763	−	0.0899115i
$353$	−2.08375	+	0.299597i	−0.110907	+	0.0159460i	−0.197545	−	0.980294i	$-0.563297\pi$
$353$	−2.08375	+	0.299597i	−0.110907	+	0.0159460i	0.0866380	+	0.996240i	$0.472388\pi$
$354$	11.2924	+	7.23600i	0.600183	+	0.384589i
$355$	−10.5895	−	9.17583i	−0.562031	−	0.487003i
$356$	−8.01947	−	5.15380i	−0.425031	−	0.273151i
$357$	18.5108	−	16.0827i	0.979694	−	0.851189i
$358$	1.37831	−	1.59066i	0.0728462	−	0.0840689i
$359$	12.1157	+	3.55748i	0.639440	+	0.187757i	0.585352	−	0.810780i	$-0.300956\pi$
$359$	12.1157	+	3.55748i	0.639440	+	0.187757i	0.0540886	+	0.998536i	$0.482775\pi$
$360$	2.73219	+	1.23900i	0.143999	+	0.0653009i
$361$	−7.02507	−	8.10736i	−0.369740	−	0.426703i
$362$	−3.29261	−	7.20980i	−0.173056	−	0.378939i
$363$	7.55949	−	0.0100336i	0.396771	−	0.000526628i
$364$	−21.2196	−	9.69065i	−1.11221	−	0.507928i
$365$	−2.36850	+	16.4733i	−0.123973	+	0.862250i
$366$	−5.87002	+	1.73206i	−0.306831	+	0.0905361i
$367$			16.7235i			0.872961i	0.899714	+	0.436480i	$0.143775\pi$
$367$			16.7235i			0.872961i	−0.899714	+	0.436480i	$0.856225\pi$
$368$	−0.794306	+	4.72960i	−0.0414061	+	0.246547i
$369$	−6.75384	+	10.5708i	−0.351591	+	0.550293i
$370$	6.88644	−	4.42564i	0.358009	−	0.230078i
$371$	5.64956	+	0.812284i	0.293311	+	0.0421717i
$372$	−7.04723	+	8.15478i	−0.365382	+	0.422806i
$373$	−1.17430	−	3.99930i	−0.0608030	−	0.207076i	0.923489	−	0.383625i	$-0.125325\pi$
$373$	−1.17430	−	3.99930i	−0.0608030	−	0.207076i	−0.984292	+	0.176549i	$0.943506\pi$
$374$	7.48530	−	3.41842i	0.387056	−	0.176762i
$375$	−0.721610	−	1.57457i	−0.0372638	−	0.0813106i
$376$	−1.34470	−	9.35260i	−0.0693477	−	0.482324i
$377$	−3.99221	+	13.5962i	−0.205609	+	0.700241i
$378$	−23.0281	+	0.0916952i	−1.18444	+	0.00471629i
$379$	−1.36559	+	2.12490i	−0.0701457	+	0.109149i	−0.874554	−	0.484928i	$-0.838846\pi$
$379$	−1.36559	+	2.12490i	−0.0701457	+	0.109149i	0.804409	+	0.594076i	$0.202482\pi$
$380$	1.55498	−	2.41960i	0.0797689	−	0.124123i
$381$	7.56771	−	4.87767i	0.387705	−	0.249891i
$382$	4.02393	−	13.7043i	0.205882	−	0.701171i
$383$	−1.28941	−	8.96806i	−0.0658859	−	0.458246i	−0.995881	−	0.0906736i	$-0.971098\pi$
$383$	−1.28941	−	8.96806i	−0.0658859	−	0.458246i	0.929995	−	0.367573i	$-0.119811\pi$
$384$	1.57457	−	0.721610i	0.0803521	−	0.0368245i
$385$	10.3845	−	4.74242i	0.529241	−	0.241696i
$386$	−3.74844	−	12.7660i	−0.190791	−	0.649773i
$387$	9.76401	+	15.1048i	0.496333	+	0.767820i
$388$	9.79534	+	1.40836i	0.497283	+	0.0714985i
$389$	−4.91737	+	3.16020i	−0.249321	+	0.160229i	−0.659332	−	0.751852i	$-0.729161\pi$
$389$	−4.91737	+	3.16020i	−0.249321	+	0.160229i	0.410012	+	0.912080i	$0.365525\pi$
$390$	2.55694	−	8.75108i	0.129476	−	0.443128i
$391$	−6.69128	+	13.7819i	−0.338393	+	0.696981i
$392$		−	12.6409i		−	0.638460i
$393$	9.12093	+	30.9112i	0.460090	+	1.55926i
$394$	−0.695108	+	4.83458i	−0.0350190	+	0.243563i
$395$	−11.9446	−	5.45492i	−0.600998	−	0.274467i
$396$	−7.42057	−	2.15750i	−0.372898	−	0.108418i
$397$	−6.45533	−	14.1352i	−0.323984	−	0.709426i	0.675629	−	0.737242i	$-0.263872\pi$
$397$	−6.45533	−	14.1352i	−0.323984	−	0.709426i	−0.999613	+	0.0278158i	$0.991145\pi$
$398$	11.3415	+	13.0887i	0.568496	+	0.656079i
$399$	−3.11300	+	21.8573i	−0.155845	+	1.09423i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	4.77758	−	5.51362i	0.238581	−	0.275337i	−0.623814	−	0.781573i	$-0.714418\pi$
$401$	4.77758	−	5.51362i	0.238581	−	0.275337i	0.862395	+	0.506235i	$0.168963\pi$
$402$	−2.86613	−	3.29883i	−0.142950	−	0.164531i
$403$	27.5545	+	17.7082i	1.37259	+	0.882108i
$404$	10.4550	+	9.05932i	0.520156	+	0.450718i
$405$	−1.32811	−	8.90147i	−0.0659944	−	0.442317i
$406$	−11.8093	+	1.69792i	−0.586085	+	0.0842663i
$407$	−15.9361	+	13.8087i	−0.789925	+	0.684474i
$408$	5.47571	−	0.794707i	0.271088	−	0.0393439i
$409$	−5.98610	+	1.75768i	−0.295993	+	0.0869115i	−0.426358	−	0.904555i	$-0.640204\pi$
$409$	−5.98610	+	1.75768i	−0.295993	+	0.0869115i	0.130364	+	0.991466i	$0.458385\pi$
$410$	1.73701	−	3.80352i	0.0857848	−	0.187842i
$411$	2.43972	−	5.36106i	0.120342	−	0.264442i
$412$	2.14029	+	3.33036i	0.105445	+	0.164075i
$413$	34.3169			1.68862
$414$	13.2096	−	5.70149i	0.649216	−	0.280213i
$415$	15.2705			0.749598
$416$	−2.84577	−	4.42810i	−0.139525	−	0.217105i
$417$	0.117005	−	0.257108i	0.00572977	−	0.0125906i
$418$	−3.07777	+	6.73937i	−0.150539	+	0.329634i
$419$	24.9609	−	7.32919i	1.21942	−	0.358054i	0.392173	−	0.919892i	$-0.371723\pi$
$419$	24.9609	−	7.32919i	1.21942	−	0.358054i	0.827248	+	0.561837i	$0.189905\pi$
$420$	7.59652	−	1.10251i	0.370672	−	0.0537969i
$421$	−10.7182	+	9.28734i	−0.522371	+	0.452637i	−0.875696	−	0.482864i	$-0.839597\pi$
$421$	−10.7182	+	9.28734i	−0.522371	+	0.452637i	0.353324	+	0.935501i	$0.385051\pi$
$422$	−9.04824	+	1.30094i	−0.440461	+	0.0633288i
$423$	−21.3734	+	18.6197i	−1.03921	+	0.905321i
$424$	0.973319	+	0.843386i	0.0472686	+	0.0409584i
$425$	−2.68740	−	1.72709i	−0.130358	−	0.0837761i
$426$	15.9173	+	18.3204i	0.771197	+	0.887626i
$427$	−10.2550	+	11.8349i	−0.496274	+	0.572731i
$428$	−8.54477	−	2.50897i	−0.413027	−	0.121276i
$429$	−3.31139	+	23.2503i	−0.159875	+	1.12253i
$430$	−3.92608	−	4.53093i	−0.189332	−	0.218501i
$431$	−1.98204	−	4.34006i	−0.0954715	−	0.209053i	0.855871	−	0.517190i	$-0.173022\pi$
$431$	−1.98204	−	4.34006i	−0.0954715	−	0.209053i	−0.951342	+	0.308137i	$0.900295\pi$
$432$	−4.38243	−	2.79182i	−0.210850	−	0.134322i
$433$	4.01680	+	1.83441i	0.193035	+	0.0881563i	0.509588	−	0.860419i	$-0.329798\pi$
$433$	4.01680	+	1.83441i	0.193035	+	0.0881563i	−0.316552	+	0.948575i	$0.602525\pi$
$434$	−3.92469	+	27.2968i	−0.188391	+	1.31029i
$435$	−1.31960	−	4.47218i	−0.0632700	−	0.214425i
$436$		−	5.15988i		−	0.247113i
$437$	−3.57285	−	13.3229i	−0.170912	−	0.637322i
$438$	8.08449	−	27.6691i	0.386292	−	1.32208i
$439$	−0.448973	+	0.288538i	−0.0214283	+	0.0137712i	−0.551311	−	0.834300i	$-0.685872\pi$
$439$	−0.448973	+	0.288538i	−0.0214283	+	0.0137712i	0.529883	+	0.848071i	$0.322236\pi$
$440$	2.54973	+	0.366596i	0.121554	+	0.0174768i
$441$	−31.8480	+	20.5871i	−1.51657	+	0.980339i
$442$	−4.73733	−	16.1338i	−0.225332	−	0.767409i
$443$	12.3197	−	5.62621i	0.585326	−	0.267309i	−0.100664	−	0.994920i	$-0.532097\pi$
$443$	12.3197	−	5.62621i	0.585326	−	0.267309i	0.685990	+	0.727611i	$0.259369\pi$
$444$	−12.8893	+	5.90705i	−0.611700	+	0.280336i
$445$	−1.35665	−	9.43573i	−0.0643116	−	0.447297i
$446$	5.88355	−	20.0375i	0.278594	−	0.948804i
$447$	10.1277	−	6.52766i	0.479022	−	0.308748i
$448$	2.39601	−	3.72827i	0.113201	−	0.176144i
$449$	17.5861	−	27.3645i	0.829939	−	1.29141i	−0.124263	−	0.992249i	$-0.539657\pi$
$449$	17.5861	−	27.3645i	0.829939	−	1.29141i	0.954202	−	0.299162i	$-0.0967070\pi$
$450$	0.852836	+	2.87623i	0.0402031	+	0.135587i
$451$	−3.03455	+	10.3347i	−0.142891	+	0.486644i
$452$	−2.65469	−	18.4638i	−0.124866	−	0.868463i
$453$	−16.7902	−	36.6366i	−0.788872	−	1.72134i
$454$	23.6349	−	10.7937i	1.10924	−	0.506574i
$455$	−6.57215	−	22.3827i	−0.308107	−	1.04932i
$456$	−3.25732	+	3.76924i	−0.152538	+	0.176511i
$457$	22.8831	+	3.29009i	1.07043	+	0.153904i	0.654929	−	0.755690i	$-0.272699\pi$
$457$	22.8831	+	3.29009i	1.07043	+	0.153904i	0.415497	+	0.909594i	$0.363608\pi$
$458$	−0.351531	+	0.225916i	−0.0164260	+	0.0105563i
$459$	−10.9200	−	12.5015i	−0.509704	−	0.583519i
$460$	−4.09455	+	2.49693i	−0.190909	+	0.116420i
$461$			13.8486i			0.644994i	0.946570	+	0.322497i	$0.104522\pi$
$461$			13.8486i			0.644994i	−0.946570	+	0.322497i	$0.895478\pi$
$462$	−18.9649	+	5.59595i	−0.882327	+	0.260347i
$463$	3.40923	−	23.7117i	0.158440	−	1.10198i	−0.743069	−	0.669215i	$-0.766630\pi$
$463$	3.40923	−	23.7117i	0.158440	−	1.10198i	0.901509	−	0.432761i	$-0.142460\pi$
$464$	−2.44879	−	1.11833i	−0.113682	−	0.0519170i
$465$	−10.7779	+	0.0143054i	−0.499815	+	0.000663397i
$466$	−9.31252	−	20.3916i	−0.431394	−	0.944622i
$467$	15.7868	+	18.2190i	0.730528	+	0.843074i	0.992531	−	0.121993i	$-0.0389286\pi$
$467$	15.7868	+	18.2190i	0.730528	+	0.843074i	−0.262003	+	0.965067i	$0.584383\pi$
$468$	−6.52169	+	14.3814i	−0.301465	+	0.664782i
$469$	−10.7286	−	3.15021i	−0.495402	−	0.145463i
$470$	6.18763	−	7.14091i	0.285414	−	0.329386i
$471$	0.389801	−	0.338672i	0.0179611	−	0.0156052i
$472$	6.51410	+	4.18636i	0.299836	+	0.192693i
$473$	11.6715	+	10.1134i	0.536654	+	0.465013i
$474$	19.1498	+	12.2709i	0.879578	+	0.563622i
$475$	2.84691	−	0.409323i	0.130625	−	0.0187810i
$476$	10.6995	−	9.27118i	0.490411	−	0.424944i
$477$	0.539702	−	3.82578i	0.0247113	−	0.175170i
$478$	21.6896	−	6.36863i	0.992057	−	0.291294i
$479$	12.9815	−	28.4255i	0.593140	−	1.29880i	−0.340386	−	0.940286i	$-0.610558\pi$
$479$	12.9815	−	28.4255i	0.593140	−	1.29880i	0.933526	−	0.358510i	$-0.116715\pi$
$480$	1.57648	+	0.717428i	0.0719563	+	0.0327460i
$481$	23.2952	+	36.2481i	1.06217	+	1.65277i
$482$	−3.66069			−0.166740
$483$	20.5873	−	30.5186i	0.936754	−	1.38864i
$484$	4.36448			0.198385
$485$	5.35022	+	8.32510i	0.242941	+	0.378023i
$486$	0.103451	+	15.5881i	0.00469263	+	0.707091i
$487$	−15.2926	+	33.4862i	−0.692975	+	1.51740i	0.155311	+	0.987866i	$0.450362\pi$
$487$	−15.2926	+	33.4862i	−0.692975	+	1.51740i	−0.848286	+	0.529538i	$0.822365\pi$
$488$	−3.39038	+	0.995505i	−0.153475	+	0.0450644i
$489$	−3.51149	−	24.1949i	−0.158795	−	1.09413i
$490$	9.55333	−	8.27801i	0.431575	−	0.373962i
$491$	18.5612	−	2.66870i	0.837657	−	0.120437i	0.289882	−	0.957062i	$-0.406384\pi$
$491$	18.5612	−	2.66870i	0.837657	−	0.120437i	0.547775	+	0.836625i	$0.315475\pi$
$492$	−3.90743	+	6.09786i	−0.176161	+	0.274913i
$493$	−6.49935	−	5.63172i	−0.292716	−	0.253640i
$494$	12.7360	+	8.18494i	0.573020	+	0.368258i
$495$	−3.22891	−	7.02095i	−0.145129	−	0.315568i
$496$	−4.07497	+	4.70276i	−0.182971	+	0.211160i
$497$	59.5825	+	17.4950i	2.67264	+	0.784758i
$498$	−26.1850	−	3.72936i	−1.17338	−	0.167117i
$499$	14.6278	+	16.8814i	0.654831	+	0.755715i	0.981924	−	0.189277i	$-0.0606145\pi$
$499$	14.6278	+	16.8814i	0.654831	+	0.755715i	−0.327093	+	0.944992i	$0.606069\pi$
$500$	−0.415415	−	0.909632i	−0.0185779	−	0.0406800i
$501$	−0.0286729	−	21.6027i	−0.00128101	−	0.965136i
$502$	0.787532	+	0.359654i	0.0351493	+	0.0160521i
$503$	2.10185	−	14.6187i	0.0937171	−	0.651817i	−0.887770	−	0.460288i	$-0.847746\pi$
$503$	2.10185	−	14.6187i	0.0937171	−	0.651817i	0.981487	−	0.191529i	$-0.0613446\pi$
$504$	−13.2954	+	0.0352936i	−0.592222	+	0.00157210i
$505$			13.8340i			0.615603i
$506$	9.52464	−	7.86755i	0.423422	−	0.349755i
$507$	24.4500	+	7.14393i	1.08586	+	0.317273i
$508$	4.37295	−	2.81032i	0.194018	−	0.124688i
$509$	−36.4957	−	5.24729i	−1.61764	−	0.232582i	−0.726786	−	0.686864i	$-0.758987\pi$
$509$	−36.4957	−	5.24729i	−1.61764	−	0.232582i	−0.890858	+	0.454281i	$0.849896\pi$
$510$	4.18642	+	3.61784i	0.185378	+	0.160201i
$511$	−20.7798	−	70.7693i	−0.919242	−	3.13065i
$512$	0.909632	−	0.415415i	0.0402004	−	0.0183589i
$513$	14.8013	+	2.06799i	0.653494	+	0.0913038i
$514$	−1.89964	−	13.2123i	−0.0837897	−	0.582770i
$515$	−1.11533	+	3.79845i	−0.0491471	+	0.167380i
$516$	5.62568	+	8.72823i	0.247657	+	0.384239i
$517$	−13.1590	+	20.4758i	−0.578731	+	0.900523i
$518$	−19.6136	+	30.5193i	−0.861771	+	1.34094i
$519$	1.64442	+	2.55132i	0.0721821	+	0.111990i
$520$	1.48295	−	5.05047i	0.0650318	−	0.221478i
$521$	−2.24715	−	15.6293i	−0.0984496	−	0.684732i	−0.977951	−	0.208835i	$-0.933033\pi$
$521$	−2.24715	−	15.6293i	−0.0984496	−	0.684732i	0.879501	−	0.475897i	$-0.157876\pi$
$522$	1.17058	+	7.99093i	0.0512349	+	0.349753i
$523$	−3.02338	+	1.38073i	−0.132203	+	0.0603752i	−0.480418	−	0.877039i	$-0.659515\pi$
$523$	−3.02338	+	1.38073i	−0.132203	+	0.0603752i	0.348215	+	0.937415i	$0.386788\pi$
$524$	5.24228	+	17.8536i	0.229010	+	0.779936i
$525$	5.80788	+	5.01908i	0.253477	+	0.219050i
$526$	−9.72102	−	1.39767i	−0.423857	−	0.0609414i
$527$	−16.7228	+	10.7471i	−0.728455	+	0.468149i
$528$	−4.28261	−	1.25132i	−0.186377	−	0.0544566i
$529$	−4.34335	+	22.5862i	−0.188841	+	0.982008i
$530$			1.28789i			0.0559422i
$531$	−0.0616656	−	23.2299i	−0.00267606	−	1.00809i
$532$	−1.81404	+	12.6169i	−0.0786486	+	0.547013i
$533$	20.0206	+	9.14308i	0.867186	+	0.396031i
$534$	0.0219151	+	16.5112i	0.000948360	+	0.714510i
$535$	−3.69948	−	8.10073i	−0.159942	−	0.350225i
$536$	−1.65223	−	1.90678i	−0.0713655	−	0.0823602i
$537$	−3.60910	−	0.514022i	−0.155744	−	0.0221817i
$538$	−20.0637	−	5.89124i	−0.865009	−	0.253990i
$539$	−21.3237	+	24.6089i	−0.918478	+	1.05998i
$540$	−0.759963	−	5.14028i	−0.0327036	−	0.221202i
$541$	10.8680	+	6.98445i	0.467253	+	0.300285i	0.753001	−	0.658020i	$-0.228606\pi$
$541$	10.8680	+	6.98445i	0.467253	+	0.300285i	−0.285748	+	0.958305i	$0.592242\pi$
$542$	−6.94294	−	6.01609i	−0.298225	−	0.258413i
$543$	−7.40677	+	11.5589i	−0.317855	+	0.496038i
$544$	3.16201	−	0.454628i	0.135570	−	0.0194920i
$545$	3.89957	−	3.37900i	0.167039	−	0.144740i
$546$	5.80326	+	39.9857i	0.248356	+	1.71123i
$547$	32.3416	−	9.49636i	1.38283	−	0.406035i	0.496076	−	0.868279i	$-0.334774\pi$
$547$	32.3416	−	9.49636i	1.38283	−	0.406035i	0.886753	+	0.462244i	$0.152956\pi$
$548$	1.41268	−	3.09334i	0.0603467	−	0.132141i
$549$	8.02975	+	6.92058i	0.342701	+	0.295363i
$550$	1.39266	+	2.16703i	0.0593834	+	0.0924024i
$551$	7.74288			0.329858
$552$	7.63092	−	3.28163i	0.324793	−	0.139675i
$553$	58.1951			2.47471
$554$	1.72675	+	2.68688i	0.0733626	+	0.114154i
$555$	−12.9050	−	5.87281i	−0.547785	−	0.249287i
$556$	0.0677500	−	0.148352i	0.00287324	−	0.00629152i
$557$	−8.82273	+	2.59059i	−0.373831	+	0.109767i	−0.463250	−	0.886227i	$-0.653317\pi$
$557$	−8.82273	+	2.59059i	−0.373831	+	0.109767i	0.0894196	+	0.995994i	$0.471499\pi$
$558$	18.4849	+	2.60766i	0.782529	+	0.110391i
$559$	23.8494	−	20.6656i	1.00872	−	0.874064i
$560$	4.38669	−	0.630711i	0.185372	−	0.0266524i
$561$	−12.0005	−	7.68979i	−0.506663	−	0.324663i
$562$	7.80023	+	6.75893i	0.329033	+	0.285108i
$563$	−36.5528	−	23.4911i	−1.54052	−	0.990030i	−0.987635	−	0.156770i	$-0.949892\pi$
$563$	−36.5528	−	23.4911i	−1.54052	−	0.990030i	−0.552881	−	0.833260i	$-0.686472\pi$
$564$	−12.3542	+	10.7337i	−0.520205	+	0.451970i
$565$	12.2155	−	14.0975i	0.513911	−	0.593085i
$566$	−9.03930	−	2.65418i	−0.379950	−	0.111563i
$567$	21.7420	+	33.4395i	0.913076	+	1.40433i
$568$	9.17583	+	10.5895i	0.385009	+	0.444324i
$569$	16.0986	+	35.2511i	0.674889	+	1.47780i	0.867969	+	0.496619i	$0.165425\pi$
$569$	16.0986	+	35.2511i	0.674889	+	1.47780i	−0.193080	+	0.981183i	$0.561848\pi$
$570$	−4.98169	+	0.00661213i	−0.208660	+	0.000276952i
$571$	−26.8061	−	12.2419i	−1.12180	−	0.512309i	−0.233861	−	0.972270i	$-0.575136\pi$
$571$	−26.8061	−	12.2419i	−1.12180	−	0.512309i	−0.887939	+	0.459961i	$0.847863\pi$
$572$	−1.92965	+	13.4210i	−0.0806826	+	0.561160i
$573$	−23.7272	+	7.00116i	−0.991218	+	0.292477i
$574$			18.5311i			0.773472i
$575$	−4.56841	−	1.45931i	−0.190516	−	0.0608576i
$576$	−2.52806	−	1.61522i	−0.105336	−	0.0673007i
$577$	11.3421	−	7.28913i	0.472178	−	0.303450i	−0.282825	−	0.959171i	$-0.591272\pi$
$577$	11.3421	−	7.28913i	0.472178	−	0.303450i	0.755003	+	0.655721i	$0.227635\pi$
$578$	−6.72587	−	0.967034i	−0.279759	−	0.0402233i
$579$	−15.0680	+	17.4362i	−0.626207	+	0.724622i
$580$	−0.758444	−	2.58302i	−0.0314927	−	0.107254i
$581$	−61.5600	+	28.1135i	−2.55394	+	1.16634i
$582$	−7.14111	−	15.5821i	−0.296008	−	0.645898i
$583$	−0.472134	−	3.28376i	−0.0195538	−	0.136000i
$584$	4.68878	−	15.9685i	0.194023	−	0.660782i
$585$	−15.1396	+	4.48906i	−0.625944	+	0.185600i
$586$	2.69526	−	4.19391i	0.111340	−	0.173249i
$587$	5.61056	−	8.73020i	0.231573	−	0.360334i	−0.705948	−	0.708264i	$-0.749479\pi$
$587$	5.61056	−	8.73020i	0.231573	−	0.360334i	0.937521	+	0.347930i	$0.113115\pi$
$588$	−18.4032	+	11.8616i	−0.758935	+	0.489163i
$589$	5.04230	−	17.1725i	0.207764	−	0.707580i
$590$	1.10199	+	7.66451i	0.0453682	+	0.315543i
$591$	7.69068	−	3.52456i	0.316352	−	0.144981i
$592$	−7.44618	+	3.40056i	−0.306036	+	0.139762i
$593$	3.25641	+	11.0903i	0.133725	+	0.455425i	0.998943	−	0.0459711i	$-0.0146382\pi$
$593$	3.25641	+	11.0903i	0.133725	+	0.455425i	−0.865218	+	0.501396i	$0.832820\pi$
$594$	3.82211	+	12.8277i	0.156823	+	0.526328i
$595$	14.0134	+	2.01482i	0.574493	+	0.0825996i
$596$	5.85220	−	3.76098i	0.239716	−	0.154056i
$597$	8.41298	−	28.7933i	0.344320	−	1.17843i
$598$	−13.1431	−	21.5524i	−0.537460	−	0.881345i
$599$			31.1475i			1.27265i	0.771420	+	0.636326i	$0.219547\pi$
$599$			31.1475i			1.27265i	−0.771420	+	0.636326i	$0.780453\pi$
$600$	0.490180	+	1.66124i	0.0200115	+	0.0678199i
$601$	3.50675	−	24.3900i	0.143043	−	0.994888i	−0.784221	−	0.620481i	$-0.786937\pi$
$601$	3.50675	−	24.3900i	0.143043	−	0.994888i	0.927264	−	0.374407i	$-0.122154\pi$
$602$	24.1688	+	11.0375i	0.985048	+	0.449856i
$603$	−2.11317	+	7.26812i	−0.0860550	+	0.295981i
$604$	−9.66574	−	21.1650i	−0.393293	−	0.861192i
$605$	2.85813	+	3.29845i	0.116199	+	0.134101i
$606$	3.37854	−	23.7217i	0.137244	−	0.963630i
$607$	30.2781	+	8.89045i	1.22895	+	0.360852i	0.830853	−	0.556492i	$-0.187853\pi$
$607$	30.2781	+	8.89045i	1.22895	+	0.360852i	0.398096	+	0.917344i	$0.369671\pi$
$608$	−1.88350	+	2.17367i	−0.0763860	+	0.0881541i
$609$	13.5532	+	15.5993i	0.549202	+	0.632116i
$610$	−2.97258	−	1.91036i	−0.120356	−	0.0773482i
$611$	37.5875	+	32.5698i	1.52063	+	1.31763i
$612$	−6.29511	−	7.22609i	−0.254465	−	0.292097i
$613$	0.721443	−	0.103728i	0.0291388	−	0.00418953i	−0.127730	−	0.991809i	$-0.540769\pi$
$613$	0.721443	−	0.103728i	0.0291388	−	0.00418953i	0.156869	+	0.987619i	$0.449860\pi$
$614$	−4.96651	+	4.30350i	−0.200432	+	0.173675i
$615$	−7.16728	+	1.04021i	−0.289013	+	0.0419453i
$616$	−10.9537	+	3.21629i	−0.441336	+	0.129588i
$617$	17.2145	−	37.6946i	0.693031	−	1.51753i	−0.155191	−	0.987884i	$-0.549599\pi$
$617$	17.2145	−	37.6946i	0.693031	−	1.51753i	0.848222	−	0.529641i	$-0.177673\pi$
$618$	2.84016	−	6.24099i	0.114248	−	0.251050i
$619$	20.7450	+	32.2798i	0.833810	+	1.29743i	0.952511	+	0.304504i	$0.0984907\pi$
$619$	20.7450	+	32.2798i	0.833810	+	1.29743i	−0.118701	+	0.992930i	$0.537873\pi$
$620$	−6.22265			−0.249907
$621$	−20.6957	−	13.8812i	−0.830491	−	0.557032i
$622$	−14.4606			−0.579817
$623$	22.8406	+	35.5407i	0.915090	+	1.42391i
$624$	−3.77632	+	8.29811i	−0.151174	+	0.332190i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	−20.4186	+	5.99544i	−0.816091	+	0.239626i
$627$	12.6995	−	1.84313i	0.507171	−	0.0736074i
$628$	0.225311	−	0.195233i	0.00899090	−	0.00779066i
$629$	−25.8839	+	3.72155i	−1.03206	+	0.148388i
$630$	−8.73328	−	10.0248i	−0.347942	−	0.399400i
$631$	−23.0945	−	20.0115i	−0.919376	−	0.796644i	0.0601029	−	0.998192i	$-0.480857\pi$
$631$	−23.0945	−	20.0115i	−0.919376	−	0.796644i	−0.979478	+	0.201549i	$0.935403\pi$
$632$	11.0467	+	7.09929i	0.439415	+	0.282395i
$633$	10.3844	+	11.9521i	0.412743	+	0.475055i
$634$	−6.07083	+	7.00611i	−0.241104	+	0.278248i
$635$	4.98758	+	1.46448i	0.197926	+	0.0581163i
$636$	0.314529	−	2.20840i	0.0124719	−	0.0875687i
$637$	43.5729	+	50.2858i	1.72642	+	1.99239i
$638$	2.88075	+	6.30797i	0.114050	+	0.249735i
$639$	11.7357	−	40.3642i	0.464257	−	1.59678i
$640$	0.909632	+	0.415415i	0.0359564	+	0.0164207i
$641$	−0.972233	+	6.76203i	−0.0384009	+	0.267084i	−0.999972	−	0.00747157i	$-0.997622\pi$
$641$	−0.972233	+	6.76203i	−0.0384009	+	0.267084i	0.961571	+	0.274556i	$0.0885308\pi$
$642$	4.36530	+	14.7942i	0.172285	+	0.583880i
$643$			46.2747i			1.82490i	0.409193	+	0.912448i	$0.365810\pi$
$643$			46.2747i			1.82490i	−0.409193	+	0.912448i	$0.634190\pi$
$644$	11.9095	−	17.6041i	0.469298	−	0.693699i
$645$	−2.91232	+	9.96738i	−0.114673	+	0.392465i
$646$	−7.72946	+	4.96742i	−0.304112	+	0.195441i
$647$	4.58269	+	0.658892i	0.180164	+	0.0259037i	0.231806	−	0.972762i	$-0.425536\pi$
$647$	4.58269	+	0.658892i	0.180164	+	0.0259037i	−0.0516421	+	0.998666i	$0.516446\pi$
$648$	0.0477821	+	8.99987i	0.00187706	+	0.353548i
$649$	−5.61956	−	19.1385i	−0.220587	−	0.751250i
$650$	4.78802	−	2.18662i	0.187802	−	0.0857661i
$651$	43.4228	−	19.9002i	1.70187	−	0.779952i
$652$	−2.00881	−	13.9716i	−0.0786712	−	0.547170i
$653$	6.67154	−	22.7212i	0.261078	−	0.889149i	−0.719744	−	0.694240i	$-0.755741\pi$
$653$	6.67154	−	22.7212i	0.261078	−	0.889149i	0.980821	−	0.194909i	$-0.0624412\pi$
$654$	−7.51200	+	4.84177i	−0.293743	+	0.189328i
$655$	−10.0599	+	15.6534i	−0.393071	+	0.611631i
$656$	−2.26063	+	3.51760i	−0.0882626	+	0.137339i
$657$	−47.8681	+	14.1935i	−1.86751	+	0.553740i
$658$	−11.7976	+	40.1789i	−0.459918	+	1.56634i
$659$	−2.08598	−	14.5083i	−0.0812584	−	0.565164i	−0.989257	−	0.146190i	$-0.953299\pi$
$659$	−2.08598	−	14.5083i	−0.0812584	−	0.565164i	0.907998	−	0.418974i	$-0.137610\pi$
$660$	−1.85883	−	4.05602i	−0.0723550	−	0.157880i
$661$	25.5177	−	11.6535i	0.992523	−	0.453270i	0.148115	−	0.988970i	$-0.452680\pi$
$661$	25.5177	−	11.6535i	0.992523	−	0.453270i	0.844408	+	0.535700i	$0.179952\pi$
$662$	4.33215	+	14.7539i	0.168374	+	0.573428i
$663$	−19.0432	+	22.0360i	−0.739576	+	0.855809i
$664$	−15.1150	−	2.17321i	−0.586577	−	0.0843370i
$665$	−10.7232	+	6.89137i	−0.415827	+	0.267236i
$666$	20.6945	+	13.2220i	0.801895	+	0.512344i
$667$	−11.6142	−	5.63884i	−0.449704	−	0.218337i
$668$		−	12.4723i		−	0.482568i
$669$	−34.6925	+	10.2367i	−1.34129	+	0.395772i
$670$	0.359064	−	2.49735i	0.0138719	−	0.0964809i
$671$	8.27961	+	3.78117i	0.319631	+	0.145970i
$672$	−7.67610	+	0.0101884i	−0.296112	+	0.000393025i
$673$	−2.62073	−	5.73861i	−0.101022	−	0.221207i	0.852372	−	0.522936i	$-0.175163\pi$
$673$	−2.62073	−	5.73861i	−0.101022	−	0.221207i	−0.953394	+	0.301729i	$0.902436\pi$
$674$	−4.35110	−	5.02143i	−0.167598	−	0.193418i
$675$	3.38709	−	3.94051i	0.130369	−	0.151670i
$676$	14.1107	+	4.14328i	0.542720	+	0.159357i
$677$	−16.4213	+	18.9512i	−0.631122	+	0.728354i	−0.977779	−	0.209638i	$-0.932771\pi$
$677$	−16.4213	+	18.9512i	−0.631122	+	0.728354i	0.346657	+	0.937992i	$0.387317\pi$
$678$	−24.3894	+	21.1903i	−0.936671	+	0.813809i
$679$	−36.8952	−	23.7111i	−1.41591	−	0.909949i
$680$	2.41426	+	2.09197i	0.0925826	+	0.0802233i
$681$	−37.8919	−	24.2806i	−1.45202	−	0.930436i
$682$	15.8661	−	2.28120i	0.607543	−	0.0873515i
$683$	−8.41138	+	7.28850i	−0.321852	+	0.278887i	−0.800768	−	0.598974i	$-0.795575\pi$
$683$	−8.41138	+	7.28850i	−0.321852	+	0.278887i	0.478916	+	0.877861i	$0.341030\pi$
$684$	8.54395	+	1.20529i	0.326686	+	0.0460856i
$685$	3.26290	−	0.958073i	0.124669	−	0.0366061i
$686$	−10.3850	+	22.7401i	−0.396503	+	0.868220i
$687$	0.658759	+	0.299789i	0.0251332	+	0.0114377i
$688$	3.24129	+	5.04355i	0.123573	+	0.192284i
$689$	−6.77903			−0.258261
$690$	7.47728	+	3.61805i	0.284655	+	0.137737i
$691$	20.5306			0.781021			0.390510	−	0.920599i	$-0.372299\pi$
$691$	20.5306			0.781021			0.390510	+	0.920599i	$0.372299\pi$
$692$	0.947452	+	1.47426i	0.0360167	+	0.0560431i
$693$	25.9426	+	22.3591i	0.985477	+	0.849351i
$694$	−10.8270	+	23.7077i	−0.410986	+	0.899933i
$695$	0.156484	−	0.0459477i	0.00593576	−	0.00174290i
$696$	0.669711	+	4.61446i	0.0253853	+	0.174911i
$697$	−10.0949	+	8.74732i	−0.382373	+	0.331328i
$698$	24.8525	−	3.57325i	0.940680	−	0.135249i
$699$	−20.9487	+	32.6921i	−0.792351	+	1.23653i
$700$	3.34933	+	2.90221i	0.126593	+	0.109693i
$701$	39.0943	+	25.1244i	1.47657	+	0.948935i	0.997464	+	0.0711794i	$0.0226763\pi$
$701$	39.0943	+	25.1244i	1.47657	+	0.948935i	0.479108	+	0.877756i	$0.340960\pi$
$702$	27.0568	−	4.00021i	1.02119	−	0.150978i
$703$	15.4182	−	17.7935i	0.581507	−	0.671095i
$704$	−2.47161	−	0.725729i	−0.0931522	−	0.0273519i
$705$	−16.2023	−	2.30759i	−0.610213	−	0.0869088i
$706$	1.37860	+	1.59098i	0.0518841	+	0.0598775i
$707$	−25.4688	−	55.7690i	−0.957854	−	2.09741i
$708$	−0.0178013	−	13.4118i	−0.000669015	−	0.504047i
$709$	−3.62902	−	1.65732i	−0.136291	−	0.0622418i	0.346102	−	0.938197i	$-0.387505\pi$
$709$	−3.62902	−	1.65732i	−0.136291	−	0.0622418i	−0.482393	+	0.875955i	$0.660232\pi$
$710$	−1.99410	+	13.8693i	−0.0748372	+	0.520504i
$711$	−0.104573	−	39.3936i	−0.00392181	−	1.47738i
$712$			9.53276i			0.357255i
$713$	−20.0694	+	22.0864i	−0.751606	+	0.827141i
$714$	−23.5373	−	6.87727i	−0.880863	−	0.257375i
$715$	−11.4066	+	7.33055i	−0.426581	+	0.274147i
$716$	−2.08332	−	0.299536i	−0.0778573	−	0.0111942i
$717$	−29.6242	−	25.6007i	−1.10634	−	0.956077i
$718$	−3.55748	−	12.1157i	−0.132764	−	0.452152i
$719$	23.5200	−	10.7412i	0.877150	−	0.400581i	0.0746334	−	0.997211i	$-0.476221\pi$
$719$	23.5200	−	10.7412i	0.877150	−	0.400581i	0.802516	+	0.596630i	$0.203494\pi$
$720$	−0.434826	−	2.96832i	−0.0162050	−	0.110623i
$721$	−2.49686	−	17.3661i	−0.0929881	−	0.646747i
$722$	−3.02231	+	10.2930i	−0.112479	+	0.383067i
$723$	3.43501	+	5.32942i	0.127749	+	0.198203i
$724$	−4.28516	+	6.66783i	−0.159257	+	0.247808i
$725$	1.45544	−	2.26471i	0.0540538	−	0.0841093i
$726$	−4.09541	−	6.35403i	−0.151995	−	0.235820i
$727$	1.95972	−	6.67419i	0.0726820	−	0.247532i	−0.915136	−	0.403145i	$-0.867917\pi$
$727$	1.95972	−	6.67419i	0.0726820	−	0.247532i	0.987818	+	0.155613i	$0.0497352\pi$
$728$	3.31987	+	23.0902i	0.123042	+	0.855779i
$729$	22.5969	−	14.7777i	0.836921	−	0.547323i
$730$	15.1387	−	6.91362i	0.560309	−	0.255884i
$731$	5.39576	+	18.3763i	0.199569	+	0.679671i
$732$	4.63067	+	4.00175i	0.171155	+	0.147909i
$733$	−46.3598	−	6.66553i	−1.71234	−	0.246197i	−0.784753	−	0.619809i	$-0.787210\pi$
$733$	−46.3598	−	6.66553i	−1.71234	−	0.246197i	−0.927585	+	0.373612i	$0.878119\pi$
$734$	14.0687	−	9.04142i	0.519286	−	0.333725i
$735$	−21.0159	−	6.14054i	−0.775183	−	0.226497i
$736$	4.40822	−	1.88880i	0.162489	−	0.0696221i
$737$			6.49919i			0.239401i
$738$	12.5441	−	0.0332993i	0.461755	−	0.00122576i
$739$	−4.05874	+	28.2292i	−0.149303	+	1.03843i	0.768061	+	0.640377i	$0.221222\pi$
$739$	−4.05874	+	28.2292i	−0.149303	+	1.03843i	−0.917364	+	0.398050i	$0.869687\pi$
$740$	−7.44618	−	3.40056i	−0.273727	−	0.125007i
$741$	−0.0348042	−	26.2221i	−0.00127856	−	0.963292i
$742$	−2.37105	−	5.19187i	−0.0870438	−	0.190599i
$743$	−3.38935	−	3.91152i	−0.124343	−	0.143500i	0.690164	−	0.723653i	$-0.257538\pi$
$743$	−3.38935	−	3.91152i	−0.124343	−	0.143500i	−0.814508	+	0.580153i	$0.802993\pi$
$744$	10.6703	+	1.51970i	0.391191	+	0.0557149i
$745$	6.67474	+	1.95988i	0.244544	+	0.0718045i
$746$	−2.72955	+	3.15007i	−0.0999360	+	0.115332i
$747$	19.1413	+	41.6208i	0.700343	+	1.52283i
$748$	−6.92262	−	4.44890i	−0.253116	−	0.162668i
$749$	29.8275	+	25.8457i	1.08987	+	0.944380i
$750$	−0.934483	+	1.45834i	−0.0341225	+	0.0532509i
$751$	−27.6418	+	3.97429i	−1.00866	+	0.145024i	−0.626788	−	0.779190i	$-0.715631\pi$
$751$	−27.6418	+	3.97429i	−1.00866	+	0.145024i	−0.381876	+	0.924214i	$0.624722\pi$
$752$	−7.14091	+	6.18763i	−0.260402	+	0.225640i
$753$	−0.215379	−	1.48401i	−0.00784885	−	0.0540803i
$754$	13.5962	−	3.99221i	0.495145	−	0.145388i
$755$	9.66574	−	21.1650i	0.351772	−	0.770274i
$756$	12.5271	+	19.3229i	0.455606	+	0.702768i
$757$	−8.66617	−	13.4848i	−0.314977	−	0.490114i	0.647281	−	0.762251i	$-0.275906\pi$
$757$	−8.66617	−	13.4848i	−0.314977	−	0.490114i	−0.962259	+	0.272137i	$0.912270\pi$
$758$	2.52588			0.0917439
$759$	−20.3914	−	6.48392i	−0.740161	−	0.235351i
$760$	−2.87618			−0.104330
$761$	−19.8698	−	30.9180i	−0.720278	−	1.12078i	−0.987573	−	0.157160i	$-0.949766\pi$
$761$	−19.8698	−	30.9180i	−0.720278	−	1.12078i	0.267295	−	0.963615i	$-0.413870\pi$
$762$	−8.19477	−	3.72929i	−0.296865	−	0.135098i
$763$	−9.49952	+	20.8011i	−0.343906	+	0.753049i
$764$	−13.7043	+	4.02393i	−0.495803	+	0.145581i
$765$	1.33870	−	9.48961i	0.0484007	−	0.343097i
$766$	−6.84730	+	5.93322i	−0.247403	+	0.214376i
$767$	−40.3436	+	5.80054i	−1.45672	+	0.209445i
$768$	−1.45834	−	0.934483i	−0.0526231	−	0.0337202i
$769$	35.3382	+	30.6207i	1.27433	+	1.10421i	0.989331	+	0.145683i	$0.0465378\pi$
$769$	35.3382	+	30.6207i	1.27433	+	1.10421i	0.284996	+	0.958529i	$0.408008\pi$
$770$	−9.60384	−	6.17201i	−0.346098	−	0.222424i
$771$	−17.4526	+	15.1634i	−0.628540	+	0.546096i
$772$	−8.71290	+	10.0552i	−0.313584	+	0.361895i
$773$	−11.6930	−	3.43336i	−0.420566	−	0.123489i	0.0646001	−	0.997911i	$-0.479423\pi$
$773$	−11.6930	−	3.43336i	−0.420566	−	0.123489i	−0.485166	+	0.874422i	$0.661241\pi$
$774$	7.42813	−	16.3803i	0.266999	−	0.588777i
$775$	−4.07497	−	4.70276i	−0.146377	−	0.168928i
$776$	−4.11098	−	9.00178i	−0.147575	−	0.323145i
$777$	62.8360	−	0.0834013i	2.25423	−	0.00299201i
$778$	5.31706	+	2.42822i	0.190626	+	0.0870560i
$779$	1.71154	−	11.9040i	0.0613222	−	0.426505i
$780$	−8.74426	+	2.58016i	−0.313095	+	0.0923845i
$781$		−	36.0939i		−	1.29154i
$782$	15.2117	−	1.82200i	0.543968	−	0.0651544i
$783$	10.5352	−	9.20248i	0.376496	−	0.328870i
$784$	−10.6342	+	6.83417i	−0.379792	+	0.244077i
$785$	0.295095	+	0.0424283i	0.0105324	+	0.00151433i
$786$	21.0730	−	24.3849i	0.751649	−	0.869779i
$787$	−13.1185	−	44.6774i	−0.467623	−	1.59258i	−0.769116	−	0.639109i	$-0.779303\pi$
$787$	−13.1185	−	44.6774i	−0.467623	−	1.59258i	0.301493	−	0.953468i	$-0.402515\pi$
$788$	4.44291	−	2.02901i	0.158272	−	0.0722805i
$789$	7.08693	+	15.4639i	0.252301	+	0.550528i
$790$	1.86877	+	12.9976i	0.0664879	+	0.462434i
$791$	−23.2906	+	79.3205i	−0.828119	+	2.82031i
$792$	2.19686	+	7.40901i	0.0780621	+	0.263268i
$793$	10.0555	−	15.6467i	0.357083	−	0.555632i
$794$	−8.40128	+	13.0726i	−0.298150	+	0.463931i
$795$	1.87497	−	1.20849i	0.0664983	−	0.0428607i
$796$	4.87929	−	16.6174i	0.172942	−	0.588986i
$797$	0.395321	+	2.74952i	0.0140030	+	0.0973929i	0.995624	−	0.0934461i	$-0.0297883\pi$
$797$	0.395321	+	2.74952i	0.0140030	+	0.0973929i	−0.981621	+	0.190839i	$0.938879\pi$
$798$	20.0706	−	9.19813i	0.710490	−	0.325610i
$799$	−27.4566	+	12.5390i	−0.971346	+	0.443599i
$800$	0.281733	+	0.959493i	0.00996075	+	0.0339232i
$801$	24.0173	−	15.5252i	0.848609	−	0.548556i
$802$	−7.22131	−	1.03827i	−0.254993	−	0.0366625i
$803$	−36.0651	+	23.1776i	−1.27271	+	0.817921i
$804$	−1.22561	+	4.19463i	−0.0432239	+	0.147933i
$805$	21.1033	−	2.52768i	0.743795	−	0.0890890i
$806$		−	32.7541i		−	1.15371i
$807$	10.2500	+	34.7378i	0.360819	+	1.22283i
$808$	1.96878	−	13.6931i	0.0692614	−	0.481723i
$809$	−11.6569	−	5.32354i	−0.409836	−	0.187166i	0.199819	−	0.979833i	$-0.435965\pi$
$809$	−11.6569	−	5.32354i	−0.409836	−	0.187166i	−0.609655	+	0.792667i	$0.708692\pi$
$810$	−6.77036	+	5.92977i	−0.237886	+	0.208351i
$811$	2.46880	+	5.40593i	0.0866914	+	0.189828i	0.948012	−	0.318234i	$-0.103090\pi$
$811$	2.46880	+	5.40593i	0.0866914	+	0.189828i	−0.861321	+	0.508061i	$0.830362\pi$
$812$	7.81296	+	9.01664i	0.274181	+	0.316422i
$813$	−2.24361	+	15.7531i	−0.0786870	+	0.552485i
$814$	20.2324	+	5.94076i	0.709144	+	0.208224i
$815$	9.24355	−	10.6676i	0.323787	−	0.373670i
$816$	−3.62894	−	4.17681i	−0.127038	−	0.146217i
$817$	−14.5062	−	9.32255i	−0.507507	−	0.326155i
$818$	4.71498	+	4.08555i	0.164855	+	0.142848i
$819$	52.7677	−	45.9693i	1.84385	−	1.60630i
$820$	−4.13882	+	0.595073i	−0.144534	+	0.0207808i
$821$	30.6078	−	26.5218i	1.06822	−	0.925619i	0.0708071	−	0.997490i	$-0.477443\pi$
$821$	30.6078	−	26.5218i	1.06822	−	0.925619i	0.997414	+	0.0718712i	$0.0228971\pi$
$822$	−5.82902	+	0.845985i	−0.203310	+	0.0295071i
$823$	−37.5695	+	11.0314i	−1.30959	+	0.384531i	−0.860726	−	0.509068i	$-0.829990\pi$
$823$	−37.5695	+	11.0314i	−1.30959	+	0.384531i	−0.448866	+	0.893599i	$0.648172\pi$
$824$	1.64455	−	3.60106i	0.0572906	−	0.125449i
$825$	1.84806	−	4.06094i	0.0643412	−	0.141384i
$826$	−18.5531	−	28.8692i	−0.645545	−	1.00449i
$827$	33.7382			1.17319			0.586595	−	0.809880i	$-0.300468\pi$
$827$	33.7382			1.17319			0.586595	+	0.809880i	$0.300468\pi$
$828$	−11.9380	−	8.03015i	−0.414875	−	0.279067i
$829$	31.4439			1.09209			0.546046	−	0.837755i	$-0.316132\pi$
$829$	31.4439			1.09209			0.546046	+	0.837755i	$0.316132\pi$
$830$	−8.25584	−	12.8463i	−0.286564	−	0.445903i
$831$	2.29139	−	5.03512i	0.0794875	−	0.174666i
$832$	−2.18662	+	4.78802i	−0.0758073	+	0.165995i
$833$	−38.7458	+	11.3768i	−1.34246	+	0.394182i
$834$	−0.279551	+	0.0405722i	−0.00968006	+	0.00140490i
$835$	9.42595	−	8.16763i	0.326198	−	0.282653i
$836$	7.33349	−	1.05440i	0.253634	−	0.0364671i
$837$	−13.5490	−	29.3582i	−0.468321	−	1.01477i
$838$	−19.6606	−	17.0360i	−0.679164	−	0.588499i
$839$	6.65551	+	4.27724i	0.229774	+	0.147667i	0.650462	−	0.759538i	$-0.274575\pi$
$839$	6.65551	+	4.27724i	0.229774	+	0.147667i	−0.420689	+	0.907205i	$0.638211\pi$
$840$	−5.03448	−	5.79454i	−0.173706	−	0.199931i
$841$	−14.2450	+	16.4396i	−0.491208	+	0.566884i
$842$	13.6077	+	3.99558i	0.468952	+	0.137697i
$843$	2.52065	−	17.6982i	0.0868157	−	0.609559i
$844$	5.98627	+	6.90852i	0.206056	+	0.237801i
$845$	6.10927	+	13.3774i	0.210165	+	0.460198i
$846$	27.2192	+	7.91386i	0.935816	+	0.272084i
$847$	−17.5946	−	8.03517i	−0.604556	−	0.276092i
$848$	0.183285	−	1.27478i	0.00629404	−	0.0437760i
$849$	4.61795	+	15.6504i	0.158488	+	0.537121i
$850$			3.19452i			0.109571i
$851$	−36.0854	+	15.4616i	−1.23699	+	0.530016i
$852$	6.80654	−	23.2953i	0.233188	−	0.798083i
$853$	40.0953	−	25.7677i	1.37284	−	0.882268i	0.373859	−	0.927486i	$-0.378034\pi$
$853$	40.0953	−	25.7677i	1.37284	−	0.882268i	0.998977	+	0.0452173i	$0.0143980\pi$
$854$	15.5004	+	2.22863i	0.530414	+	0.0762620i
$855$	4.68420	+	7.24639i	0.160196	+	0.247821i
$856$	2.50897	+	8.54477i	0.0857548	+	0.292054i
$857$	−6.85306	+	3.12969i	−0.234096	+	0.106908i	−0.529010	−	0.848616i	$-0.677436\pi$
$857$	−6.85306	+	3.12969i	−0.234096	+	0.106908i	0.294914	+	0.955524i	$0.404709\pi$
$858$	21.3496	−	9.78432i	0.728864	−	0.334031i
$859$	3.01961	+	21.0019i	0.103028	+	0.716574i	0.974215	+	0.225623i	$0.0724417\pi$
$859$	3.01961	+	21.0019i	0.103028	+	0.716574i	−0.871187	+	0.490952i	$0.836649\pi$
$860$	−1.68907	+	5.75243i	−0.0575967	+	0.196156i
$861$	26.9784	−	17.3886i	0.919423	−	0.592603i
$862$	−2.57952	+	4.01381i	−0.0878588	+	0.136711i
$863$	4.88599	−	7.60275i	0.166321	−	0.258801i	−0.748081	−	0.663607i	$-0.769025\pi$
$863$	4.88599	−	7.60275i	0.166321	−	0.258801i	0.914402	+	0.404806i	$0.132661\pi$
$864$	0.0206903	+	5.19611i	0.000703898	+	0.176775i
$865$	−0.493725	+	1.68147i	−0.0167872	+	0.0571718i
$866$	−0.628442	−	4.37091i	−0.0213553	−	0.148530i
$867$	4.90336	+	10.6993i	0.166527	+	0.363366i
$868$	25.0854	−	11.4561i	0.851454	−	0.388846i
$869$	−9.52973	−	32.4553i	−0.323274	−	1.10097i
$870$	−3.04881	+	3.52796i	−0.103364	+	0.119609i
$871$	13.1453	+	1.89000i	0.445410	+	0.0640403i
$872$	−4.34076	+	2.78964i	−0.146997	+	0.0944691i
$873$	−15.9843	+	25.0178i	−0.540987	+	0.846725i
$874$	−9.27634	+	10.2086i	−0.313777	+	0.345311i
$875$			4.43180i			0.149822i
$876$	−27.6475	+	8.15791i	−0.934122	+	0.275630i
$877$	0.658803	−	4.58207i	0.0222462	−	0.154726i	−0.975670	−	0.219242i	$-0.929641\pi$
$877$	0.658803	−	4.58207i	0.0222462	−	0.154726i	0.997917	+	0.0645167i	$0.0205506\pi$
$878$	0.485467	+	0.221705i	0.0163837	+	0.00748219i
$879$	−8.63481	+	0.0114609i	−0.291245	+	0.000386565i
$880$	−1.07009	−	2.34317i	−0.0360727	−	0.0789881i
$881$	−16.2012	−	18.6972i	−0.545834	−	0.629926i	0.414073	−	0.910243i	$-0.364106\pi$
$881$	−16.2012	−	18.6972i	−0.545834	−	0.629926i	−0.959907	+	0.280318i	$0.909560\pi$
$882$	34.5373	+	15.6620i	1.16293	+	0.527367i
$883$	−11.8379	−	3.47592i	−0.398377	−	0.116974i	0.0764063	−	0.997077i	$-0.475655\pi$
$883$	−11.8379	−	3.47592i	−0.398377	−	0.116974i	−0.474783	+	0.880103i	$0.657474\pi$
$884$	−11.0115	+	12.7079i	−0.370356	+	0.427413i
$885$	10.1243	−	8.79633i	0.340325	−	0.295685i
$886$	−11.3936	−	7.32222i	−0.382775	−	0.245995i
$887$	−3.24366	−	2.81065i	−0.108911	−	0.0943723i	0.598703	−	0.800971i	$-0.295683\pi$
$887$	−3.24366	−	2.81065i	−0.108911	−	0.0943723i	−0.707614	+	0.706599i	$0.750229\pi$
$888$	11.9378	+	7.64960i	0.400607	+	0.256704i
$889$	−22.8026	+	3.27852i	−0.764776	+	0.109958i
$890$	−7.20438	+	6.24263i	−0.241491	+	0.209254i
$891$	15.0888	−	17.6013i	0.505493	−	0.589666i
$892$	−20.0375	+	5.88355i	−0.670906	+	0.196996i
$893$	11.2895	−	24.7205i	0.377788	−	0.827241i
$894$	−10.9668	−	4.99081i	−0.366786	−	0.166918i
$895$	−1.13791	−	1.77062i	−0.0380361	−	0.0591854i
$896$	−4.43180			−0.148056
$897$	−19.0443	+	39.3581i	−0.635871	+	1.31413i
$898$	−32.5283			−1.08548
$899$	−9.05671	−	14.0925i	−0.302058	−	0.470012i
$900$	1.95856	−	2.27246i	0.0652852	−	0.0757485i
$901$	1.70909	−	3.74239i	0.0569381	−	0.124677i
$902$	10.3347	−	3.03455i	0.344109	−	0.101040i
$903$	−6.60984	−	45.5433i	−0.219962	−	1.51559i
$904$	−14.0975	+	12.2155i	−0.468875	+	0.406283i
$905$	−7.84539	+	1.12800i	−0.260790	+	0.0374959i
$906$	−21.7432	+	33.9321i	−0.722370	+	1.12732i
$907$	43.2619	+	37.4866i	1.43649	+	1.24472i	0.921980	+	0.387238i	$0.126571\pi$
$907$	43.2619	+	37.4866i	1.43649	+	1.24472i	0.514508	+	0.857486i	$0.327975\pi$
$908$	−21.8583	−	14.0475i	−0.725392	−	0.466181i
$909$	−37.7055	+	17.3407i	−1.25061	+	0.575153i
$910$	−15.2763	+	17.6298i	−0.506406	+	0.584424i
$911$	−11.1414	−	3.27142i	−0.369132	−	0.108387i	0.0919052	−	0.995768i	$-0.470704\pi$
$911$	−11.1414	−	3.27142i	−0.369132	−	0.108387i	−0.461037	+	0.887381i	$0.652523\pi$
$912$	4.93192	+	0.702423i	0.163312	+	0.0232596i
$913$	25.7596	+	29.7281i	0.852517	+	0.983858i
$914$	−9.60373	−	21.0292i	−0.317663	−	0.695586i
$915$	0.00812328	+	6.12022i	0.000268547	+	0.202328i
$916$	0.380105	+	0.173588i	0.0125590	+	0.00573551i
$917$	11.7358	−	81.6244i	0.387551	−	2.69548i
$918$	−4.61309	+	15.9453i	−0.152255	+	0.526274i
$919$		−	15.8871i		−	0.524067i	−0.965059	−	0.262034i	$-0.915607\pi$
$919$		−	15.8871i		−	0.524067i	0.965059	−	0.262034i	$-0.0843931\pi$
$920$	4.31423	+	2.09461i	0.142236	+	0.0690573i
$921$	10.9256	+	3.19229i	0.360010	+	0.105190i
$922$	11.6502	−	7.48713i	0.383679	−	0.246575i
$923$	−73.0035	−	10.4963i	−2.40294	−	0.345490i
$924$	14.9608	+	12.9289i	0.492175	+	0.425329i
$925$	−2.30624	−	7.85434i	−0.0758287	−	0.258249i
$926$	−21.7907	+	9.95149i	−0.716087	+	0.327026i
$927$	−11.7510	+	1.72139i	−0.385954	+	0.0565379i
$928$	0.383122	+	2.66467i	0.0125766	+	0.0874720i
$929$	5.10298	−	17.3792i	0.167423	−	0.570192i	−0.832447	−	0.554104i	$-0.813061\pi$
$929$	5.10298	−	17.3792i	0.167423	−	0.570192i	0.999871	−	0.0160873i	$-0.00512095\pi$
$930$	5.83902	+	9.05924i	0.191469	+	0.297064i
$931$	19.6563	−	30.5858i	0.644210	−	1.00241i
$932$	−12.1198	+	18.8587i	−0.396996	+	0.617738i
$933$	13.5691	+	21.0524i	0.444232	+	0.689226i
$934$	6.79177	−	23.1307i	0.222234	−	0.756858i
$935$	−1.17110	−	8.14517i	−0.0382990	−	0.266376i
$936$	15.6243	−	2.28879i	0.510697	−	0.0748114i
$937$	33.4618	−	15.2815i	1.09315	−	0.499225i	0.214516	−	0.976720i	$-0.431182\pi$
$937$	33.4618	−	15.2815i	1.09315	−	0.499225i	0.878634	+	0.477495i	$0.158455\pi$
$938$	3.15021	+	10.7286i	0.102858	+	0.350302i
$939$	27.8883	+	24.1006i	0.910099	+	0.786493i
$940$	−9.35260	−	1.34470i	−0.305048	−	0.0438593i
$941$	29.6472	−	19.0531i	0.966470	−	0.621113i	0.0406889	−	0.999172i	$-0.487045\pi$
$941$	29.6472	−	19.0531i	0.966470	−	0.621113i	0.925781	+	0.378059i	$0.123408\pi$
$942$	−0.495651	−	0.144822i	−0.0161492	−	0.00471856i
$943$	−11.2365	+	16.6094i	−0.365911	+	0.540876i
$944$		−	7.74333i		−	0.252024i
$945$	−6.39979	+	22.1212i	−0.208185	+	0.719602i
$946$	2.19785	−	15.2864i	0.0714582	−	0.497002i
$947$	−5.68650	−	2.59694i	−0.184786	−	0.0843891i	0.320873	−	0.947122i	$-0.396024\pi$
$947$	−5.68650	−	2.59694i	−0.184786	−	0.0843891i	−0.505660	+	0.862733i	$0.668751\pi$
$948$	−0.0301878	−	22.7440i	−0.000980453	−	0.738690i
$949$	36.3911	+	79.6854i	1.18131	+	2.58670i
$950$	−1.88350	−	2.17367i	−0.0611088	−	0.0705233i
$951$	15.8964	+	2.26403i	0.515477	+	0.0734161i
$952$	−13.5840	−	3.98863i	−0.440260	−	0.129272i
$953$	32.4398	−	37.4375i	1.05083	−	1.21272i	0.0743194	−	0.997234i	$-0.476322\pi$
$953$	32.4398	−	37.4375i	1.05083	−	1.21272i	0.976507	−	0.215484i	$-0.0691330\pi$
$954$	−3.51023	+	1.61435i	−0.113648	+	0.0522664i
$955$	−12.0155	−	7.72187i	−0.388811	−	0.249874i
$956$	−17.0839	−	14.8033i	−0.552533	−	0.478772i
$957$	6.48030	−	10.1130i	0.209478	−	0.326908i
$958$	−30.9314	+	4.44727i	−0.999349	+	0.143685i
$959$	−11.3899	+	9.86940i	−0.367799	+	0.318700i
$960$	−0.248772	−	1.71409i	−0.00802908	−	0.0553221i
$961$	−7.40856	+	2.17535i	−0.238986	+	0.0701726i
$962$	17.8995	−	39.1944i	0.577102	−	1.26368i
$963$	17.4419	−	20.2374i	0.562058	−	0.652140i
$964$	1.97912	+	3.07957i	0.0637431	+	0.0991862i
$965$	−13.3050			−0.428302
$966$	−36.8042	−	0.819545i	−1.18416	−	0.0263684i
$967$	−28.2329			−0.907908			−0.453954	−	0.891025i	$-0.649987\pi$
$967$	−28.2329			−0.907908			−0.453954	+	0.891025i	$0.649987\pi$
$968$	−2.35962	−	3.67163i	−0.0758409	−	0.118011i
$969$	14.4848	+	6.59175i	0.465318	+	0.211757i
$970$	4.11098	−	9.00178i	0.131995	−	0.289030i
$971$	17.5827	−	5.16274i	0.564255	−	0.165680i	0.0128492	−	0.999917i	$-0.495910\pi$
$971$	17.5827	−	5.16274i	0.564255	−	0.165680i	0.551406	+	0.834237i	$0.314092\pi$
$972$	13.0576	−	8.51460i	0.418824	−	0.273106i
$973$	−0.546242	+	0.473322i	−0.0175117	+	0.0151740i
$974$	36.4382	−	5.23902i	1.16755	−	0.167869i
$975$	−7.67623	−	4.91883i	−0.245836	−	0.157529i
$976$	2.67045	+	2.31396i	0.0854790	+	0.0740680i
$977$	19.4173	+	12.4787i	0.621213	+	0.399229i	0.813047	−	0.582198i	$-0.197807\pi$
$977$	19.4173	+	12.4787i	0.621213	+	0.399229i	−0.191834	+	0.981427i	$0.561444\pi$
$978$	−18.4556	+	16.0348i	−0.590145	+	0.512736i
$979$	16.0807	−	18.5581i	0.513942	−	0.593120i
$980$	−12.1288	−	3.56134i	−0.387441	−	0.113763i
$981$	14.0978	+	6.39307i	0.450108	+	0.204115i
$982$	−12.2800	−	14.1719i	−0.391871	−	0.452244i
$983$	−16.7487	−	36.6746i	−0.534201	−	1.16974i	−0.963778	−	0.266707i	$-0.914065\pi$
$983$	−16.7487	−	36.6746i	−0.534201	−	1.16974i	0.429577	−	0.903030i	$-0.358663\pi$
$984$	7.24236	−	0.00961269i	0.230878	−	0.000306441i
$985$	4.44291	+	2.02901i	0.141563	+	0.0646497i
$986$	−1.22389	+	8.51234i	−0.0389766	+	0.271088i
$987$	69.5647	−	20.5264i	2.21427	−	0.653361i
$988$		−	15.1393i		−	0.481646i
$989$	14.9698	+	24.5480i	0.476012	+	0.780580i
$990$	−4.16072	+	6.51215i	−0.132236	+	0.206970i
$991$	15.4593	−	9.93512i	0.491082	−	0.315599i	−0.271558	−	0.962422i	$-0.587539\pi$
$991$	15.4593	−	9.93512i	0.491082	−	0.315599i	0.762640	+	0.646823i	$0.223903\pi$
$992$	6.15931	+	0.885575i	0.195558	+	0.0281170i
$993$	17.4144	−	20.1513i	0.552631	−	0.639483i
$994$	−17.4950	−	59.5825i	−0.554908	−	1.88984i
$995$	15.7538	−	7.19453i	0.499429	−	0.228082i
$996$	11.0193	+	24.0444i	0.349161	+	0.761878i
$997$	6.10447	+	42.4575i	0.193330	+	1.34464i	0.823116	+	0.567873i	$0.192234\pi$
$997$	6.10447	+	42.4575i	0.193330	+	1.34464i	−0.629786	+	0.776769i	$0.716857\pi$
$998$	6.29314	−	21.4325i	0.199206	−	0.678433i
$999$	−0.169369	−	42.5350i	−0.00535860	−	1.34575i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	690.2.q.a.11.4	✓	160
3.2	odd	2		690.2.q.b.11.12	yes	160
23.21	odd	22		690.2.q.b.251.12	yes	160
69.44	even	22	inner	690.2.q.a.251.4	yes	160

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
690.2.q.a.11.4	✓	160	1.1	even	1	trivial
690.2.q.a.251.4	yes	160	69.44	even	22	inner
690.2.q.b.11.12	yes	160	3.2	odd	2
690.2.q.b.251.12	yes	160	23.21	odd	22

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	690.q (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.540641 - 0.841254i) q^{2} +(-0.717428 + 1.57648i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.71409 - 0.248772i) q^{6} +(3.34933 - 2.90221i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-1.97059 - 2.26203i) q^{9} +O(q^{10})\)	\(q+(-0.540641 - 0.841254i) q^{2} +(-0.717428 + 1.57648i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.959493 + 0.281733i) q^{5} +(1.71409 - 0.248772i) q^{6} +(3.34933 - 2.90221i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-1.97059 - 2.26203i) q^{9} +(0.755750 + 0.654861i) q^{10} +(-2.16703 - 1.39266i) q^{11} +(-1.13599 - 1.30749i) q^{12} +(-3.44698 + 3.97803i) q^{13} +(-4.25228 - 1.24858i) q^{14} +(0.244221 - 1.71475i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(-1.32705 - 2.90584i) q^{17} +(-0.837554 + 2.88071i) q^{18} +(2.61627 + 1.19481i) q^{19} +(0.142315 - 0.989821i) q^{20} +(2.17238 + 7.36229i) q^{21} +2.57595i q^{22} +(-3.05423 - 3.69752i) q^{23} +(-0.485769 + 1.66254i) q^{24} +(0.841254 - 0.540641i) q^{25} +(5.21011 + 0.749101i) q^{26} +(4.97980 - 1.48377i) q^{27} +(1.24858 + 4.25228i) q^{28} +(2.44879 - 1.11833i) q^{29} +(-1.57457 + 0.721610i) q^{30} +(-0.885575 - 6.15931i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(3.75020 - 2.41714i) q^{33} +(-1.72709 + 2.68740i) q^{34} +(-2.39601 + 3.72827i) q^{35} +(2.87623 - 0.852836i) q^{36} +(2.30624 - 7.85434i) q^{37} +(-0.409323 - 2.84691i) q^{38} +(-3.79833 - 8.28806i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(-1.17803 - 4.01201i) q^{41} +(5.01908 - 5.80788i) q^{42} +(-5.93426 - 0.853218i) q^{43} +(2.16703 - 1.39266i) q^{44} +(2.52806 + 1.61522i) q^{45} +(-1.45931 + 4.56841i) q^{46} -9.44878i q^{47} +(1.66124 - 0.490180i) q^{48} +(1.79898 - 12.5122i) q^{49} +(-0.909632 - 0.415415i) q^{50} +(5.53307 - 0.00734397i) q^{51} +(-2.18662 - 4.78802i) q^{52} +(0.843386 + 0.973319i) q^{53} +(-3.94051 - 3.38709i) q^{54} +(2.47161 + 0.725729i) q^{55} +(2.90221 - 3.34933i) q^{56} +(-3.76058 + 3.26731i) q^{57} +(-2.26471 - 1.45544i) q^{58} +(5.85202 + 5.07080i) q^{59} +(1.45834 + 0.934483i) q^{60} +(-3.49755 + 0.502871i) q^{61} +(-4.70276 + 4.07497i) q^{62} +(-13.1651 - 1.85719i) q^{63} +(0.959493 - 0.281733i) q^{64} +(2.18662 - 4.78802i) q^{65} +(-4.06094 - 1.84806i) q^{66} +(-1.36405 - 2.12251i) q^{67} +3.19452 q^{68} +(8.02027 - 2.16223i) q^{69} +4.43180 q^{70} +(7.57539 + 11.7875i) q^{71} +(-2.27246 - 1.95856i) q^{72} +(6.91362 - 15.1387i) q^{73} +(-7.85434 + 2.30624i) q^{74} +(0.248772 + 1.71409i) q^{75} +(-2.17367 + 1.88350i) q^{76} +(-11.2999 + 1.62468i) q^{77} +(-4.91883 + 7.67623i) q^{78} +(9.92394 + 8.59914i) q^{79} +(0.841254 + 0.540641i) q^{80} +(-1.23352 + 8.91507i) q^{81} +(-2.73822 + 3.16008i) q^{82} +(-14.6519 - 4.30219i) q^{83} +(-7.59942 - 1.08234i) q^{84} +(2.09197 + 2.41426i) q^{85} +(2.49053 + 5.45350i) q^{86} +(0.00618887 + 4.66280i) q^{87} +(-2.34317 - 1.07009i) q^{88} +(-1.35665 + 9.43573i) q^{89} +(-0.00796371 - 2.99999i) q^{90} +23.3276i q^{91} +(4.63216 - 1.24222i) q^{92} +(10.3454 + 3.02277i) q^{93} +(-7.94882 + 5.10840i) q^{94} +(-2.84691 - 0.409323i) q^{95} +(-1.31050 - 1.13251i) q^{96} +(-2.78804 - 9.49521i) q^{97} +(-11.4985 + 5.25121i) q^{98} +(1.12009 + 7.64625i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9}+O(q^{10}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9	\( 160 q + 16 q^{4} - 16 q^{5} - 2 q^{6} + 42 q^{9} - 12 q^{11} - 12 q^{14} - 16 q^{16} - 8 q^{18} + 16 q^{20} + 62 q^{21} + 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} - 2 q^{30} - 4 q^{31} + 16 q^{33} + 2 q^{36} + 72 q^{38} - 124 q^{39} + 44 q^{41} + 44 q^{43} + 12 q^{44} - 2 q^{45} + 4 q^{46} + 70 q^{49} - 2 q^{51} - 52 q^{53} + 92 q^{54} + 10 q^{55} - 54 q^{56} - 38 q^{57} - 36 q^{58} - 44 q^{61} - 220 q^{63} + 16 q^{64} - 34 q^{66} - 44 q^{67} + 22 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} - 24 q^{74} - 88 q^{77} - 54 q^{78} - 44 q^{79} - 16 q^{80} - 66 q^{81} - 28 q^{82} + 4 q^{83} - 18 q^{84} + 158 q^{86} - 64 q^{87} + 80 q^{89} - 8 q^{90} - 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} - 88 q^{98} + 190 q^{99}+O(q^{100}) \) 160 * q + 16 * q^4 - 16 * q^5 - 2 * q^6 + 42 * q^9 - 12 * q^11 - 12 * q^14 - 16 * q^16 - 8 * q^18 + 16 * q^20 + 62 * q^21 + 4 * q^23 + 2 * q^24 - 16 * q^25 + 42 * q^27 - 2 * q^30 - 4 * q^31 + 16 * q^33 + 2 * q^36 + 72 * q^38 - 124 * q^39 + 44 * q^41 + 44 * q^43 + 12 * q^44 - 2 * q^45 + 4 * q^46 + 70 * q^49 - 2 * q^51 - 52 * q^53 + 92 * q^54 + 10 * q^55 - 54 * q^56 - 38 * q^57 - 36 * q^58 - 44 * q^61 - 220 * q^63 + 16 * q^64 - 34 * q^66 - 44 * q^67 + 22 * q^69 - 12 * q^70 - 36 * q^72 - 28 * q^73 - 24 * q^74 - 88 * q^77 - 54 * q^78 - 44 * q^79 - 16 * q^80 - 66 * q^81 - 28 * q^82 + 4 * q^83 - 18 * q^84 + 158 * q^86 - 64 * q^87 + 80 * q^89 - 8 * q^90 - 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 - 88 * q^98 + 190 * q^99

Introduction

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