LMFDB - Embedded newform 690.2.q.b.11.12

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			11.12
Character	$\chi$	$=$	690.11
Dual form			690.2.q.b.251.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.540641 + 0.841254i) q^{2} +(0.244221 + 1.71475i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(-1.31050 + 1.13251i) q^{6} +(3.34933 - 2.90221i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.88071 + 0.837554i) q^{9} +O(q^{10})$	\(q+(0.540641 + 0.841254i) q^{2} +(0.244221 + 1.71475i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(-1.31050 + 1.13251i) q^{6} +(3.34933 - 2.90221i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.88071 + 0.837554i) q^{9} +(0.755750 + 0.654861i) q^{10} +(2.16703 + 1.39266i) q^{11} +(-1.66124 - 0.490180i) q^{12} +(-3.44698 + 3.97803i) q^{13} +(4.25228 + 1.24858i) q^{14} +(0.717428 + 1.57648i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.32705 + 2.90584i) q^{17} +(-2.26203 - 1.97059i) q^{18} +(2.61627 + 1.19481i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(5.79454 + 5.03448i) 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} +(-2.13972 - 4.73514i) q^{27} +(1.24858 + 4.25228i) q^{28} +(-2.44879 + 1.11833i) q^{29} +(-0.938351 + 1.45585i) q^{30} +(-0.885575 - 6.15931i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-1.85883 + 4.05602i) q^{33} +(-1.72709 + 2.68740i) q^{34} +(2.39601 - 3.72827i) q^{35} +(0.434826 - 2.96832i) q^{36} +(2.30624 - 7.85434i) q^{37} +(0.409323 + 2.84691i) q^{38} +(-7.66314 - 4.93919i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(1.17803 + 4.01201i) q^{41} +(-1.10251 + 7.59652i) 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} +(1.13599 - 1.30749i) q^{48} +(1.79898 - 12.5122i) q^{49} +(0.909632 + 0.415415i) q^{50} +(-4.65868 + 2.98522i) q^{51} +(-2.18662 - 4.78802i) q^{52} +(-0.843386 - 0.973319i) q^{53} +(2.82664 - 4.36006i) q^{54} +(2.47161 + 0.725729i) q^{55} +(-2.90221 + 3.34933i) q^{56} +(-1.40985 + 4.77803i) q^{57} +(-2.26471 - 1.45544i) q^{58} +(-5.85202 - 5.07080i) q^{59} +(-1.73205 - 0.00229893i) q^{60} +(-3.49755 + 0.502871i) q^{61} +(4.70276 - 4.07497i) q^{62} +(-7.21770 + 11.1657i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-2.18662 + 4.78802i) q^{65} +(-4.41710 + 0.629101i) q^{66} +(-1.36405 - 2.12251i) q^{67} -3.19452 q^{68} +(-5.59441 + 6.14024i) q^{69} +4.43180 q^{70} +(-7.57539 - 11.7875i) q^{71} +(2.73219 - 1.23900i) q^{72} +(6.91362 - 15.1387i) q^{73} +(7.85434 - 2.30624i) q^{74} +(1.13251 + 1.31050i) q^{75} +(-2.17367 + 1.88350i) q^{76} +(11.2999 - 1.62468i) q^{77} +(0.0121008 - 9.11697i) q^{78} +(9.92394 + 8.59914i) q^{79} +(-0.841254 - 0.540641i) q^{80} +(7.59701 - 4.82550i) q^{81} +(-2.73822 + 3.16008i) q^{82} +(14.6519 + 4.30219i) q^{83} +(-6.98666 + 3.17950i) q^{84} +(2.09197 + 2.41426i) q^{85} +(-2.49053 - 5.45350i) q^{86} +(-2.51569 - 3.92594i) q^{87} +(-2.34317 - 1.07009i) q^{88} +(1.35665 - 9.43573i) q^{89} +(-2.72558 - 1.25348i) 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} +(1.71409 + 0.248772i) q^{96} +(-2.78804 - 9.49521i) q^{97} +(11.4985 - 5.25121i) q^{98} +(-7.40901 - 2.19686i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9}+O(q^{10}) $ 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9	$ 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9} + 12 q^{11} + 12 q^{14} - 16 q^{16} - 8 q^{18} - 16 q^{20} + 70 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} + 140 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} - 62 q^{54} + 10 q^{55} + 54 q^{56} - 94 q^{57} - 36 q^{58} - 44 q^{61} + 16 q^{64} - 54 q^{66} - 44 q^{67} - 30 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} - 4 q^{84} - 158 q^{86} + 156 q^{87} - 80 q^{89} + 8 q^{90} + 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} + 88 q^{98} - 58 q^{99}+O(q^{100}) $ 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9 + 12 * q^11 + 12 * q^14 - 16 * q^16 - 8 * q^18 - 16 * q^20 + 70 * 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 + 140 * 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 - 62 * q^54 + 10 * q^55 + 54 * q^56 - 94 * q^57 - 36 * q^58 - 44 * q^61 + 16 * q^64 - 54 * q^66 - 44 * q^67 - 30 * 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 - 4 * q^84 - 158 * q^86 + 156 * q^87 - 80 * q^89 + 8 * q^90 + 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 + 88 * q^98 - 58 * 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
$3$	0.244221	+	1.71475i	0.141001	+	0.990009i
$3$	0.244221	+	1.71475i	0.141001	+	0.990009i
$4$	−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
$6$	−1.31050	+	1.13251i	−0.535010	+	0.462347i
$7$	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
$9$	−2.88071	+	0.837554i	−0.960237	+	0.279185i
$10$	0.755750	+	0.654861i	0.238989	+	0.207085i
$11$	2.16703	+	1.39266i	0.653383	+	0.419904i	0.824901	−	0.565277i	$-0.191231\pi$
$11$	2.16703	+	1.39266i	0.653383	+	0.419904i	−0.171518	+	0.985181i	$0.554867\pi$
$12$	−1.66124	−	0.490180i	−0.479559	−	0.141503i
$13$	−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
$15$	0.717428	+	1.57648i	0.185239	+	0.407046i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	1.32705	+	2.90584i	0.321857	+	0.704770i	0.999532	−	0.0305925i	$-0.00973941\pi$
$17$	1.32705	+	2.90584i	0.321857	+	0.704770i	−0.677674	+	0.735362i	$0.737012\pi$
$18$	−2.26203	−	1.97059i	−0.533165	−	0.464473i
$19$	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
$21$	5.79454	+	5.03448i	1.26447	+	1.09861i
$22$			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
$27$	−2.13972	−	4.73514i	−0.411790	−	0.911279i
$28$	1.24858	+	4.25228i	0.235960	+	0.803606i
$29$	−2.44879	+	1.11833i	−0.454729	+	0.207668i	−0.629594	−	0.776925i	$-0.716779\pi$
$29$	−2.44879	+	1.11833i	−0.454729	+	0.207668i	0.174864	+	0.984593i	$0.444051\pi$
$30$	−0.938351	+	1.45585i	−0.171319	+	0.265801i
$31$	−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
$33$	−1.85883	+	4.05602i	−0.323581	+	0.706063i
$34$	−1.72709	+	2.68740i	−0.296193	+	0.460886i
$35$	2.39601	−	3.72827i	0.405000	−	0.630192i
$36$	0.434826	−	2.96832i	0.0724709	−	0.494720i
$37$	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
$39$	−7.66314	−	4.93919i	−1.22708	−	0.790903i
$40$	−0.909632	+	0.415415i	−0.143825	+	0.0656829i
$41$	1.17803	+	4.01201i	0.183978	+	0.626570i	0.998895	+	0.0469935i	$0.0149640\pi$
$41$	1.17803	+	4.01201i	0.183978	+	0.626570i	−0.814918	+	0.579577i	$0.803218\pi$
$42$	−1.10251	+	7.59652i	−0.170121	+	1.17217i
$43$	−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	$0.242004\pi$
$47$			9.44878i			1.37825i	−0.724644	+	0.689123i	$0.757996\pi$
$48$	1.13599	−	1.30749i	0.163966	−	0.188720i
$49$	1.79898	−	12.5122i	0.256998	−	1.78746i
$50$	0.909632	+	0.415415i	0.128641	+	0.0587486i
$51$	−4.65868	+	2.98522i	−0.652346	+	0.418015i
$52$	−2.18662	−	4.78802i	−0.303229	−	0.663979i
$53$	−0.843386	−	0.973319i	−0.115848	−	0.133696i	0.694863	−	0.719142i	$-0.255465\pi$
$53$	−0.843386	−	0.973319i	−0.115848	−	0.133696i	−0.810711	+	0.585446i	$0.800919\pi$
$54$	2.82664	−	4.36006i	0.384656	−	0.593329i
$55$	2.47161	+	0.725729i	0.333271	+	0.0978573i
$56$	−2.90221	+	3.34933i	−0.387825	+	0.447573i
$57$	−1.40985	+	4.77803i	−0.186739	+	0.632866i
$58$	−2.26471	−	1.45544i	−0.297371	−	0.191109i
$59$	−5.85202	−	5.07080i	−0.761868	−	0.660162i	0.184654	−	0.982804i	$-0.440884\pi$
$59$	−5.85202	−	5.07080i	−0.761868	−	0.660162i	−0.946521	+	0.322642i	$0.895429\pi$
$60$	−1.73205	−	0.00229893i	−0.223607	−	0.000296790i
$61$	−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
$63$	−7.21770	+	11.1657i	−0.909345	+	1.40674i
$64$	0.959493	−	0.281733i	0.119937	−	0.0352166i
$65$	−2.18662	+	4.78802i	−0.271216	+	0.593881i
$66$	−4.41710	+	0.629101i	−0.543708	+	0.0774369i
$67$	−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
$69$	−5.59441	+	6.14024i	−0.673488	+	0.739198i
$70$	4.43180			0.529702
$71$	−7.57539	−	11.7875i	−0.899034	−	1.39892i	−0.916914	−	0.399084i	$-0.869328\pi$
$71$	−7.57539	−	11.7875i	−0.899034	−	1.39892i	0.0178804	−	0.999840i	$-0.494308\pi$
$72$	2.73219	−	1.23900i	0.321992	−	0.146017i
$73$	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
$75$	1.13251	+	1.31050i	0.130771	+	0.151324i
$76$	−2.17367	+	1.88350i	−0.249337	+	0.216052i
$77$	11.2999	−	1.62468i	1.28774	−	0.185150i
$78$	0.0121008	−	9.11697i	0.00137015	−	1.03229i
$79$	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
$81$	7.59701	−	4.82550i	0.844112	−	0.536167i
$82$	−2.73822	+	3.16008i	−0.302386	+	0.348972i
$83$	14.6519	+	4.30219i	1.60826	+	0.472226i	0.957828	−	0.287342i	$-0.0927717\pi$
$83$	14.6519	+	4.30219i	1.60826	+	0.472226i	0.650427	+	0.759569i	$0.274590\pi$
$84$	−6.98666	+	3.17950i	−0.762307	+	0.346912i
$85$	2.09197	+	2.41426i	0.226906	+	0.261863i
$86$	−2.49053	−	5.45350i	−0.268561	−	0.588066i
$87$	−2.51569	−	3.92594i	−0.269711	−	0.420905i
$88$	−2.34317	−	1.07009i	−0.249782	−	0.114072i
$89$	1.35665	−	9.43573i	0.143805	−	1.00019i	−0.782295	−	0.622908i	$-0.785951\pi$
$89$	1.35665	−	9.43573i	0.143805	−	1.00019i	0.926100	−	0.377278i	$-0.123140\pi$
$90$	−2.72558	−	1.25348i	−0.287301	−	0.132129i
$91$			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
$96$	1.71409	+	0.248772i	0.174944	+	0.0253902i
$97$	−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
$99$	−7.40901	−	2.19686i	−0.744634	−	0.220793i
$100$	0.142315	+	0.989821i	0.0142315	+	0.0989821i
$101$	−3.89748	+	13.2736i	−0.387813	+	1.32077i	0.502166	+	0.864771i	$0.332537\pi$
$101$	−3.89748	+	13.2736i	−0.387813	+	1.32077i	−0.889980	+	0.456000i	$0.849282\pi$
$102$	−5.03001	−	2.30520i	−0.498045	−	0.228249i
$103$	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
$105$	6.97819	+	3.19803i	0.681002	+	0.312096i
$106$	0.362839	−	1.23572i	0.0352421	−	0.120023i
$107$	−1.26739	−	8.81486i	−0.122523	−	0.852164i	−0.954682	−	0.297628i	$-0.903805\pi$
$107$	−1.26739	−	8.81486i	−0.122523	−	0.852164i	0.832159	−	0.554537i	$-0.187105\pi$
$108$	5.19611	+	0.0206903i	0.499996	+	0.00199092i
$109$	−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
$111$	14.0314	+	2.03643i	1.33180	+	0.193289i
$112$	−4.38669	−	0.630711i	−0.414503	−	0.0595966i
$113$	15.6924	−	10.0849i	1.47622	−	0.948709i	0.478726	−	0.877965i	$-0.341099\pi$
$113$	15.6924	−	10.0849i	1.47622	−	0.948709i	0.997494	−	0.0707446i	$-0.0225375\pi$
$114$	−4.78176	+	1.39716i	−0.447853	+	0.130856i
$115$	3.97223	+	2.68727i	0.370412	+	0.250589i
$116$		−	2.69207i		−	0.249952i
$117$	6.59795	−	14.3466i	0.609981	−	1.32634i
$118$	1.10199	−	7.66451i	0.101446	−	0.705576i
$119$	12.8781	+	5.88123i	1.18053	+	0.539132i
$120$	−0.934483	−	1.45834i	−0.0853062	−	0.133127i
$121$	−1.81307	−	3.97007i	−0.164825	−	0.360915i
$122$	−2.31396	−	2.67045i	−0.209496	−	0.241771i
$123$	−6.59188	+	2.99984i	−0.594370	+	0.270487i
$124$	5.97059	+	1.75312i	0.536174	+	0.157435i
$125$	0.654861	−	0.755750i	0.0585725	−	0.0675963i
$126$	−13.2954	−	0.0352936i	−1.18444	−	0.00314420i
$127$	−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
$129$	0.0137827	−	10.3841i	0.00121350	−	0.914271i
$130$	−5.21011	+	0.749101i	−0.456957	+	0.0657005i
$131$	−14.0624	+	12.1852i	−1.22864	+	1.06462i	−0.232894	+	0.972502i	$0.574819\pi$
$131$	−14.0624	+	12.1852i	−1.22864	+	1.06462i	−0.995748	+	0.0921218i	$0.970635\pi$
$132$	−2.91730	−	3.37579i	−0.253918	−	0.293824i
$133$	12.2303	−	3.59115i	1.06050	−	0.311392i
$134$	1.04810	−	2.29503i	0.0905424	−	0.198260i
$135$	−3.38709	−	3.94051i	−0.291515	−	0.339145i
$136$	−1.72709	−	2.68740i	−0.148097	−	0.230443i
$137$	3.40065			0.290537			0.145268	−	0.989392i	$-0.453595\pi$
$137$	3.40065			0.290537			0.145268	+	0.989392i	$0.453595\pi$
$138$	−8.19007	−	1.38665i	−0.697185	−	0.118039i
$139$	−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
$141$	−16.2023	+	2.30759i	−1.36448	+	0.194334i
$142$	5.82075	−	12.7457i	0.488466	−	1.06959i
$143$	−13.0098	+	3.82001i	−1.08793	+	0.319446i
$144$	2.51945	+	1.62862i	0.209954	+	0.135718i
$145$	−2.03453	+	1.76293i	−0.168959	+	0.146403i
$146$	16.4733	−	2.36850i	1.36334	−	0.196018i
$147$	21.8946	+	0.0290604i	1.80584	+	0.00239686i
$148$	6.18651	+	5.36064i	0.508528	+	0.440642i
$149$	5.85220	+	3.76098i	0.479431	+	0.308112i	0.757943	−	0.652321i	$-0.226205\pi$
$149$	5.85220	+	3.76098i	0.479431	+	0.308112i	−0.278511	+	0.960433i	$0.589841\pi$
$150$	−0.490180	+	1.66124i	−0.0400231	+	0.135640i
$151$	−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
$153$	−6.25665	−	7.25941i	−0.505820	−	0.586888i
$154$	7.47596	+	8.62771i	0.602430	+	0.695241i
$155$	−2.58498	−	5.66032i	−0.207631	−	0.454648i
$156$	7.67623	−	4.91883i	0.614590	−	0.393821i
$157$	−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
$159$	1.46302	−	1.68390i	0.116025	−	0.133542i
$160$		−	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
$165$	−0.640824	+	4.41542i	−0.0498881	+	0.343740i
$166$	4.30219	+	14.6519i	0.333914	+	1.13721i
$167$	11.3452	−	5.18119i	0.877919	−	0.400932i	0.0751151	−	0.997175i	$-0.476068\pi$
$167$	11.3452	−	5.18119i	0.877919	−	0.400932i	0.802804	+	0.596242i	$0.203340\pi$
$168$	−6.45204	−	4.15858i	−0.497785	−	0.320842i
$169$	−2.09294	−	14.5567i	−0.160996	−	1.11975i
$170$	−0.900001	+	3.06512i	−0.0690269	+	0.235084i
$171$	−8.53743	−	1.25064i	−0.652874	−	0.0956387i
$172$	3.24129	−	5.04355i	0.247146	−	0.384567i
$173$	−0.947452	+	1.47426i	−0.0720334	+	0.112086i	−0.875401	−	0.483397i	$-0.839403\pi$
$173$	−0.947452	+	1.47426i	−0.0720334	+	0.112086i	0.803368	+	0.595483i	$0.203039\pi$
$174$	1.94263	−	4.23886i	0.147270	−	0.321347i
$175$	1.24858	−	4.25228i	0.0943840	−	0.321442i
$176$	−0.366596	−	2.54973i	−0.0276332	−	0.192193i
$177$	7.26596	−	11.2731i	0.546143	−	0.847340i
$178$	8.67131	−	3.96005i	0.649942	−	0.296819i
$179$	−0.592975	−	2.01949i	−0.0443210	−	0.150944i	0.934360	−	0.356331i	$-0.115973\pi$
$179$	−0.592975	−	2.01949i	−0.0443210	−	0.150944i	−0.978681	+	0.205388i	$0.934154\pi$
$180$	−0.419060	−	2.97059i	−0.0312349	−	0.221414i
$181$	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
$186$	8.13605	+	7.06885i	0.596564	+	0.518314i
$187$	−1.17110	+	8.14517i	−0.0856392	+	0.595634i
$188$	−8.59491	−	3.92516i	−0.626848	−	0.286272i
$189$	−20.9090	−	9.64964i	−1.52091	−	0.701908i
$190$	1.19481	+	2.61627i	0.0866806	+	0.189804i
$191$	−9.35325	−	10.7942i	−0.676778	−	0.781043i	0.308643	−	0.951178i	$-0.400125\pi$
$191$	−9.35325	−	10.7942i	−0.676778	−	0.781043i	−0.985421	+	0.170135i	$0.945580\pi$
$192$	0.717428	+	1.57648i	0.0517759	+	0.113773i
$193$	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
$195$	−8.74426	−	2.58016i	−0.626189	−	0.184769i
$196$	10.6342	+	6.83417i	0.759584	+	0.488155i
$197$	3.69131	+	3.19854i	0.262995	+	0.227886i	0.776369	−	0.630279i	$-0.217059\pi$
$197$	3.69131	+	3.19854i	0.262995	+	0.227886i	−0.513374	+	0.858165i	$0.671605\pi$
$198$	−2.15750	−	7.42057i	−0.153327	−	0.527357i
$199$	−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
$201$	3.30643	−	2.85736i	0.233218	−	0.201543i
$202$	−13.2736	+	3.89748i	−0.933926	+	0.274225i
$203$	−4.95620	+	10.8526i	−0.347857	+	0.761701i
$204$	−0.780169	−	5.47780i	−0.0546227	−	0.383522i
$205$	2.26063	+	3.51760i	0.157889	+	0.245680i
$206$	3.95881			0.275823
$207$	−11.8952	−	8.09342i	−0.826776	−	0.562532i
$208$	5.26369			0.364971
$209$	4.00555	+	6.23277i	0.277070	+	0.431129i
$210$	1.08234	+	7.59942i	0.0746884	+	0.524410i
$211$	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
$213$	18.3626	−	15.8686i	1.25818	−	1.08730i
$214$	6.73033	−	5.83186i	0.460076	−	0.398658i
$215$	−5.93426	+	0.853218i	−0.404713	+	0.0581890i
$216$	2.79182	+	4.38243i	0.189960	+	0.298187i
$217$	−20.8417	−	18.0594i	−1.41483	−	1.22596i
$218$	−4.34076	−	2.78964i	−0.293994	−	0.188938i
$219$	27.6475	+	8.15791i	1.86824	+	0.551261i
$220$	−1.68689	+	1.94677i	−0.113730	+	0.131251i
$221$	−16.1338	−	4.73733i	−1.08528	−	0.318667i
$222$	5.87281	+	12.9050i	0.394157	+	0.866124i
$223$	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
$225$	−1.97059	+	2.26203i	−0.131373	+	0.150802i
$226$	16.9679	+	7.74900i	1.12869	+	0.515456i
$227$	3.69776	−	25.7185i	0.245429	−	1.70700i	−0.378570	−	0.925572i	$-0.623584\pi$
$227$	3.69776	−	25.7185i	0.245429	−	1.70700i	0.624000	−	0.781425i	$-0.285507\pi$
$228$	−3.76058	−	3.26731i	−0.249050	−	0.216383i
$229$		−	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	−0.630226	−	0.776412i	$-0.717038\pi$
$233$	−22.1892	−	3.19033i	−1.45366	−	0.209005i	−0.823438	+	0.567406i	$0.807947\pi$
$234$	15.6362	−	2.20580i	1.02217	−	0.144198i
$235$	2.66203	+	9.06604i	0.173652	+	0.591403i
$236$	7.04358	−	3.21669i	0.458498	−	0.209389i
$237$	−12.3217	+	19.1171i	−0.800381	+	1.24179i
$238$	2.01482	+	14.0134i	0.130601	+	0.908353i
$239$	6.36863	−	21.6896i	0.411952	−	1.40298i	−0.448652	−	0.893707i	$-0.648096\pi$
$239$	6.36863	−	21.6896i	0.411952	−	1.40298i	0.860604	−	0.509274i	$-0.170086\pi$
$240$	0.721610	−	1.57457i	0.0465798	−	0.101638i
$241$	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
$243$	10.1299	+	11.8485i	0.649831	+	0.760079i
$244$	0.995505	−	3.39038i	0.0637307	−	0.217047i
$245$	−1.79898	−	12.5122i	−0.114933	−	0.799375i
$246$	−6.08747	−	3.92360i	−0.388123	−	0.250160i
$247$	−13.7712	+	6.28911i	−0.876242	+	0.400166i
$248$	1.75312	+	5.97059i	0.111323	+	0.379133i
$249$	−3.79886	+	26.1750i	−0.240743	+	1.65877i
$250$	0.989821	+	0.142315i	0.0626018	+	0.00900078i
$251$	0.728332	−	0.468071i	0.0459719	−	0.0295444i	−0.517453	−	0.855712i	$-0.673120\pi$
$251$	0.728332	−	0.468071i	0.0459719	−	0.0295444i	0.563425	+	0.826167i	$0.309483\pi$
$252$	−7.15832	−	11.2038i	−0.450932	−	0.705776i
$253$	1.46919	+	12.2661i	0.0923674	+	0.771166i
$254$		−	5.19814i		−	0.326160i
$255$	−3.62894	+	4.17681i	−0.227253	+	0.261562i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−12.1419	−	5.54503i	−0.757393	−	0.345890i	−0.000993113	−	1.00000i	$-0.500316\pi$
$257$	−12.1419	−	5.54503i	−0.757393	−	0.345890i	−0.756400	+	0.654110i	$0.773043\pi$
$258$	8.74313	−	5.60249i	0.544324	−	0.348796i
$259$	−15.0706	−	33.0000i	−0.936441	−	2.05052i
$260$	−3.44698	−	3.97803i	−0.213773	−	0.246707i
$261$	6.11761	−	5.27257i	0.378671	−	0.326364i
$262$	−17.8536	−	5.24228i	−1.10300	−	0.323869i
$263$	−6.43138	+	7.42221i	−0.396576	+	0.457673i	−0.918560	−	0.395283i	$-0.870647\pi$
$263$	−6.43138	+	7.42221i	−0.396576	+	0.457673i	0.521984	+	0.852955i	$0.325192\pi$
$264$	1.26268	−	4.27928i	0.0777126	−	0.263371i
$265$	−1.08344	−	0.696284i	−0.0665551	−	0.0427724i
$266$	9.63329	+	8.34729i	0.590655	+	0.511805i
$267$	16.5112	+	0.0219151i	1.01047	+	0.00134118i
$268$	2.49735	−	0.359064i	0.152550	−	0.0219333i
$269$	−15.8033	+	13.6936i	−0.963544	+	0.834916i	−0.986323	−	0.164825i	$-0.947294\pi$
$269$	−15.8033	+	13.6936i	−0.963544	+	0.834916i	0.0227787	+	0.999741i	$0.492749\pi$
$270$	1.48377	−	4.97980i	0.0902991	−	0.303061i
$271$	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
$273$	−40.0010	+	5.69709i	−2.42097	+	0.344804i
$274$	1.83853	+	2.86081i	0.111070	+	0.172828i
$275$	2.57595			0.155336
$276$	−3.26136	−	7.63960i	−0.196311	−	0.459850i
$277$	−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
$279$	7.70984	+	17.0015i	0.461576	+	1.01785i
$280$	−1.84104	+	4.03131i	−0.110023	+	0.240917i
$281$	9.90310	−	2.90781i	0.590769	−	0.173466i	0.0273349	−	0.999626i	$-0.491298\pi$
$281$	9.90310	−	2.90781i	0.590769	−	0.173466i	0.563434	+	0.826161i	$0.309480\pi$
$282$	−10.7009	−	12.3826i	−0.637228	−	0.737375i
$283$	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
$285$	−0.00661213	+	4.98169i	−0.000391669	+	0.295090i
$286$	−10.2472	−	8.87926i	−0.605930	−	0.525042i
$287$	15.5893	+	10.0186i	0.920209	+	0.591382i
$288$	−0.00796371	+	2.99999i	−0.000469266	+	0.176776i
$289$	4.44980	−	5.13534i	0.261753	−	0.302079i
$290$	−2.58302	−	0.758444i	−0.151680	−	0.0445374i
$291$	15.6010	−	7.09972i	0.914545	−	0.416193i
$292$	10.8986	+	12.5777i	0.637794	+	0.736054i
$293$	−2.07097	−	4.53480i	−0.120988	−	0.264926i	0.839442	−	0.543450i	$-0.182882\pi$
$293$	−2.07097	−	4.53480i	−0.120988	−	0.264926i	−0.960429	+	0.278524i	$0.910155\pi$
$294$	11.8127	+	18.4346i	0.688929	+	1.07513i
$295$	−7.04358	−	3.21669i	−0.410093	−	0.187283i
$296$	−1.16498	+	8.10260i	−0.0677130	+	0.470954i
$297$	1.95763	−	13.2411i	0.113593	−	0.768327i
$298$			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
$303$	−23.7127	−	3.44150i	−1.36226	−	0.197709i
$304$	−0.810314	−	2.75968i	−0.0464747	−	0.158278i
$305$	−3.21420	+	1.46787i	−0.184044	+	0.0840502i
$306$	2.72440	−	9.18816i	0.155744	−	0.525252i
$307$	−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
$309$	6.23343	+	2.85672i	0.354608	+	0.162513i
$310$	3.36422	−	5.23482i	0.191075	−	0.297318i
$311$	−7.81798	+	12.1650i	−0.443317	+	0.689815i	−0.988957	−	0.148205i	$-0.952650\pi$
$311$	−7.81798	+	12.1650i	−0.443317	+	0.689815i	0.545640	+	0.838020i	$0.316287\pi$
$312$	8.28806	+	3.79833i	0.469219	+	0.215038i
$313$	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
$315$	−3.77960	+	12.7469i	−0.212956	+	0.718204i
$316$	−11.9446	+	5.45492i	−0.671937	+	0.306863i
$317$	2.61178	+	8.89490i	0.146692	+	0.499587i	0.999753	−	0.0222240i	$-0.00707469\pi$
$317$	2.61178	+	8.89490i	0.146692	+	0.499587i	−0.853061	+	0.521811i	$0.825257\pi$
$318$	2.20756	+	0.320390i	0.123794	+	0.0179666i
$319$	−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
$324$	1.23352	+	8.91507i	0.0685289	+	0.495282i
$325$	−0.749101	+	5.21011i	−0.0415527	+	0.289005i
$326$	−12.8397	−	5.86370i	−0.711126	−	0.324760i
$327$	−4.82181	−	7.52483i	−0.266647	−	0.416124i
$328$	−1.73701	−	3.80352i	−0.0959103	−	0.210014i
$329$	27.4224	+	31.6471i	1.51184	+	1.74476i
$330$	−4.06094	+	1.84806i	−0.223547	+	0.101732i
$331$	−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
$333$	−0.0651903	+	24.5577i	−0.00357241	+	1.34575i
$334$	10.4924	+	6.74304i	0.574118	+	0.368963i
$335$	−1.90678	−	1.65223i	−0.104178	−	0.0902711i
$336$	0.0101884	−	7.67610i	0.000555822	−	0.418766i
$337$	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
$339$	21.1255	+	24.4456i	1.14738	+	1.32770i
$340$	−3.06512	+	0.900001i	−0.166230	+	0.0488094i
$341$	6.65878	−	14.5807i	0.360593	−	0.789589i
$342$	−3.56358	−	7.85829i	−0.192696	−	0.424928i
$343$	−13.5156	−	21.0307i	−0.729773	−	1.13555i
$344$	5.99528			0.323244
$345$	−3.63789	+	7.46765i	−0.195857	+	0.402045i
$346$	−1.75246			−0.0942129
$347$	14.0907	+	21.9256i	0.756429	+	1.17703i	0.979346	+	0.202189i	$0.0648057\pi$
$347$	14.0907	+	21.9256i	0.756429	+	1.17703i	−0.222917	+	0.974837i	$0.571558\pi$
$348$	4.61622	−	0.657459i	0.247455	−	0.0352435i
$349$	−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
$351$	26.2121	+	7.81008i	1.39910	+	0.416871i
$352$	1.94677	−	1.68689i	0.103763	−	0.0899115i
$353$	2.08375	−	0.299597i	0.110907	−	0.0159460i	−0.0866380	−	0.996240i	$-0.527612\pi$
$353$	2.08375	−	0.299597i	0.110907	−	0.0159460i	0.197545	+	0.980294i	$0.436703\pi$
$354$	13.4118	+	0.0178013i	0.712830	+	0.000946130i
$355$	−10.5895	−	9.17583i	−0.562031	−	0.487003i
$356$	8.01947	+	5.15380i	0.425031	+	0.273151i
$357$	−6.93972	+	23.5190i	−0.367289	+	1.24476i
$358$	1.37831	−	1.59066i	0.0728462	−	0.0840689i
$359$	−12.1157	−	3.55748i	−0.639440	−	0.187757i	−0.0540886	−	0.998536i	$-0.517225\pi$
$359$	−12.1157	−	3.55748i	−0.639440	−	0.187757i	−0.585352	+	0.810780i	$0.699044\pi$
$360$	2.27246	−	1.95856i	0.119769	−	0.103225i
$361$	−7.02507	−	8.10736i	−0.369740	−	0.426703i
$362$	3.29261	+	7.20980i	0.173056	+	0.378939i
$363$	6.36488	−	4.07853i	0.334069	−	0.214067i
$364$	−21.2196	−	9.69065i	−1.11221	−	0.507928i
$365$	2.36850	−	16.4733i	0.123973	−	0.862250i
$366$	4.01403	−	4.62003i	0.209817	−	0.241493i
$367$			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
$372$	−1.54802	+	10.6662i	−0.0802611	+	0.553016i
$373$	−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
$375$	1.45585	+	0.938351i	0.0751798	+	0.0484562i
$376$	−1.34470	−	9.35260i	−0.0693477	−	0.482324i
$377$	3.99221	−	13.5962i	0.205609	−	0.700241i
$378$	−3.18648	−	22.8068i	−0.163895	−	1.17305i
$379$	−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
$381$	3.75103	−	8.18484i	0.192171	−	0.419322i
$382$	4.02393	−	13.7043i	0.205882	−	0.701171i
$383$	1.28941	+	8.96806i	0.0658859	+	0.458246i	0.995881	+	0.0906736i	$0.0289020\pi$
$383$	1.28941	+	8.96806i	0.0658859	+	0.458246i	−0.929995	+	0.367573i	$0.880189\pi$
$384$	−0.938351	+	1.45585i	−0.0478850	+	0.0742935i
$385$	10.3845	−	4.74242i	0.529241	−	0.241696i
$386$	3.74844	+	12.7660i	0.190791	+	0.649773i
$387$	17.8095	−	2.51239i	0.905308	−	0.127712i
$388$	9.79534	+	1.40836i	0.497283	+	0.0714985i
$389$	4.91737	−	3.16020i	0.249321	−	0.160229i	−0.410012	−	0.912080i	$-0.634475\pi$
$389$	4.91737	−	3.16020i	0.249321	−	0.160229i	0.659332	+	0.751852i	$0.270839\pi$
$390$	−2.55694	−	8.75108i	−0.129476	−	0.443128i
$391$	−6.69128	+	13.7819i	−0.338393	+	0.696981i
$392$			12.6409i			0.638460i
$393$	−24.3288	−	21.1377i	−1.22723	−	1.06625i
$394$	−0.695108	+	4.83458i	−0.0350190	+	0.243563i
$395$	11.9446	+	5.45492i	0.600998	+	0.274467i
$396$	5.07615	−	5.82687i	0.255086	−	0.292811i
$397$	−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
$399$	9.14482	+	20.0949i	0.457814	+	1.00600i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	−4.77758	+	5.51362i	−0.238581	+	0.275337i	−0.862395	−	0.506235i	$-0.831037\pi$
$401$	−4.77758	+	5.51362i	−0.238581	+	0.275337i	0.623814	+	0.781573i	$0.285582\pi$
$402$	4.19136	+	1.23674i	0.209046	+	0.0616829i
$403$	27.5545	+	17.7082i	1.37259	+	0.882108i
$404$	−10.4550	−	9.05932i	−0.520156	−	0.450718i
$405$	5.92977	−	6.77036i	0.294653	−	0.336422i
$406$	−11.8093	+	1.69792i	−0.586085	+	0.0842663i
$407$	15.9361	−	13.8087i	0.789925	−	0.684474i
$408$	4.18642	−	3.61784i	0.207259	−	0.179110i
$409$	−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
$411$	0.830509	+	5.83125i	0.0409660	+	0.287634i
$412$	2.14029	+	3.33036i	0.105445	+	0.164075i
$413$	−34.3169			−1.68862
$414$	0.377569	−	14.3825i	0.0185565	−	0.706863i
$415$	15.2705			0.749598
$416$	2.84577	+	4.42810i	0.139525	+	0.217105i
$417$	−0.0398299	−	0.279658i	−0.00195048	−	0.0136949i
$418$	−3.07777	+	6.73937i	−0.150539	+	0.329634i
$419$	−24.9609	+	7.32919i	−1.21942	+	0.358054i	−0.827248	−	0.561837i	$-0.810095\pi$
$419$	−24.9609	+	7.32919i	−1.21942	+	0.358054i	−0.392173	+	0.919892i	$0.628277\pi$
$420$	−5.80788	+	5.01908i	−0.283396	+	0.244906i
$421$	−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
$423$	−7.91386	−	27.2192i	−0.384785	−	1.32344i
$424$	0.973319	+	0.843386i	0.0472686	+	0.0409584i
$425$	2.68740	+	1.72709i	0.130358	+	0.0837761i
$426$	23.2771	+	6.86835i	1.12778	+	0.332773i
$427$	−10.2550	+	11.8349i	−0.496274	+	0.572731i
$428$	8.54477	+	2.50897i	0.413027	+	0.121276i
$429$	−9.72761	−	21.3755i	−0.469653	−	1.03202i
$430$	−3.92608	−	4.53093i	−0.189332	−	0.218501i
$431$	1.98204	+	4.34006i	0.0954715	+	0.209053i	0.951342	−	0.308137i	$-0.0997054\pi$
$431$	1.98204	+	4.34006i	0.0954715	+	0.209053i	−0.855871	+	0.517190i	$0.826978\pi$
$432$	−2.17736	+	4.71795i	−0.104758	+	0.226993i
$433$	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
$435$	−3.51985	−	3.05816i	−0.168764	−	0.146628i
$436$		−	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
$441$	5.29729	+	37.5508i	0.252252	+	1.78813i
$442$	−4.73733	−	16.1338i	−0.225332	−	0.767409i
$443$	−12.3197	+	5.62621i	−0.585326	+	0.267309i	−0.685990	−	0.727611i	$-0.740631\pi$
$443$	−12.3197	+	5.62621i	−0.585326	+	0.267309i	0.100664	+	0.994920i	$0.467903\pi$
$444$	−7.68127	+	11.9175i	−0.364537	+	0.565578i
$445$	−1.35665	−	9.43573i	−0.0643116	−	0.447297i
$446$	−5.88355	+	20.0375i	−0.278594	+	0.948804i
$447$	−5.01990	+	10.9536i	−0.237433	+	0.518085i
$448$	2.39601	−	3.72827i	0.113201	−	0.176144i
$449$	−17.5861	+	27.3645i	−0.829939	+	1.29141i	0.124263	+	0.992249i	$0.460343\pi$
$449$	−17.5861	+	27.3645i	−0.829939	+	1.29141i	−0.954202	+	0.299162i	$0.903293\pi$
$450$	−2.96832	−	0.434826i	−0.139928	−	0.0204979i
$451$	−3.03455	+	10.3347i	−0.142891	+	0.486644i
$452$	2.65469	+	18.4638i	0.124866	+	0.868463i
$453$	−33.8742	−	21.8332i	−1.59155	−	1.02581i
$454$	23.6349	−	10.7937i	1.10924	−	0.506574i
$455$	6.57215	+	22.3827i	0.308107	+	1.04932i
$456$	0.715513	−	4.93004i	0.0335070	−	0.230870i
$457$	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	$-0.895478\pi$
$461$		−	13.8486i		−	0.644994i	0.946570	−	0.322497i	$-0.104522\pi$
$462$	−12.9686	+	14.9264i	−0.603352	+	0.694441i
$463$	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
$465$	9.07471	−	5.81495i	0.420829	−	0.269662i
$466$	−9.31252	−	20.3916i	−0.431394	−	0.944622i
$467$	−15.7868	−	18.2190i	−0.730528	−	0.843074i	0.262003	−	0.965067i	$-0.415617\pi$
$467$	−15.7868	−	18.2190i	−0.730528	−	0.843074i	−0.992531	+	0.121993i	$0.961071\pi$
$468$	10.3092	+	11.9615i	0.476545	+	0.552921i
$469$	−10.7286	−	3.15021i	−0.495402	−	0.145463i
$470$	−6.18763	+	7.14091i	−0.285414	+	0.329386i
$471$	0.146137	−	0.495265i	0.00673365	−	0.0228206i
$472$	6.51410	+	4.18636i	0.299836	+	0.192693i
$473$	−11.6715	−	10.1134i	−0.536654	−	0.465013i
$474$	−22.7440	−	0.0301878i	−1.04467	−	0.00138657i
$475$	2.84691	−	0.409323i	0.130625	−	0.0187810i
$476$	−10.6995	+	9.27118i	−0.490411	+	0.424944i
$477$	3.24476	+	2.09747i	0.148567	+	0.0960366i
$478$	21.6896	−	6.36863i	0.992057	−	0.291294i
$479$	−12.9815	+	28.4255i	−0.593140	+	1.29880i	0.340386	+	0.940286i	$0.389442\pi$
$479$	−12.9815	+	28.4255i	−0.593140	+	1.29880i	−0.933526	+	0.358510i	$0.883285\pi$
$480$	1.71475	−	0.244221i	0.0782671	−	0.0111471i
$481$	23.2952	+	36.2481i	1.06217	+	1.65277i
$482$	3.66069			0.166740
$483$	−0.917241	+	36.8019i	−0.0417359	+	1.67454i
$484$	4.36448			0.198385
$485$	−5.35022	−	8.32510i	−0.242941	−	0.378023i
$486$	−4.49094	+	14.9275i	−0.203713	+	0.677127i
$487$	−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
$489$	−15.9858	−	18.4981i	−0.722901	−	0.836513i
$490$	9.55333	−	8.27801i	0.431575	−	0.373962i
$491$	−18.5612	+	2.66870i	−0.837657	+	0.120437i	−0.547775	−	0.836625i	$-0.684525\pi$
$491$	−18.5612	+	2.66870i	−0.837657	+	0.120437i	−0.289882	+	0.957062i	$0.593616\pi$
$492$	0.00961269	−	7.24236i	0.000433374	−	0.326511i
$493$	−6.49935	−	5.63172i	−0.292716	−	0.253640i
$494$	−12.7360	−	8.18494i	−0.573020	−	0.368258i
$495$	−7.72782	−	0.0205141i	−0.347340	−	0.000922041i
$496$	−4.07497	+	4.70276i	−0.182971	+	0.211160i
$497$	−59.5825	−	17.4950i	−2.67264	−	0.784758i
$498$	−24.0736	+	10.9555i	−1.07876	+	0.490926i
$499$	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
$501$	11.6552	+	18.1888i	0.520714	+	0.812617i
$502$	0.787532	+	0.359654i	0.0351493	+	0.0160521i
$503$	−2.10185	+	14.6187i	−0.0937171	+	0.651817i	0.887770	+	0.460288i	$0.152254\pi$
$503$	−2.10185	+	14.6187i	−0.0937171	+	0.651817i	−0.981487	+	0.191529i	$0.938655\pi$
$504$	5.55520	−	12.0792i	0.247448	−	0.538051i
$505$			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	0.890858	−	0.454281i	$-0.150104\pi$
$509$	36.4957	+	5.24729i	1.61764	+	0.232582i	0.726786	+	0.686864i	$0.241013\pi$
$510$	−5.47571	−	0.794707i	−0.242468	−	0.0351902i
$511$	−20.7798	−	70.7693i	−0.919242	−	3.13065i
$512$	−0.909632	+	0.415415i	−0.0402004	+	0.0183589i
$513$	0.0595090	−	14.9450i	0.00262739	−	0.659836i
$514$	−1.89964	−	13.2123i	−0.0837897	−	0.582770i
$515$	1.11533	−	3.79845i	0.0491471	−	0.167380i
$516$	9.44001	+	4.32626i	0.415573	+	0.190453i
$517$	−13.1590	+	20.4758i	−0.578731	+	0.900523i
$518$	19.6136	−	30.5193i	0.861771	−	1.34094i
$519$	−2.75938	−	1.26459i	−0.121123	−	0.0555095i
$520$	1.48295	−	5.05047i	0.0650318	−	0.221478i
$521$	2.24715	+	15.6293i	0.0984496	+	0.684732i	0.977951	+	0.208835i	$0.0669673\pi$
$521$	2.24715	+	15.6293i	0.0984496	+	0.684732i	−0.879501	+	0.475897i	$0.842124\pi$
$522$	7.74300	+	2.29589i	0.338902	+	0.100489i
$523$	−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
$525$	7.59652	+	1.10251i	0.331539	+	0.0481174i
$526$	−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
$531$	21.1050	+	9.70614i	0.915881	+	0.421211i
$532$	−1.81404	+	12.6169i	−0.0786486	+	0.547013i
$533$	−20.0206	−	9.14308i	−0.867186	−	0.396031i
$534$	8.90820	+	13.9020i	0.385496	+	0.601597i
$535$	−3.69948	−	8.10073i	−0.159942	−	0.350225i
$536$	1.65223	+	1.90678i	0.0713655	+	0.0823602i
$537$	3.31809	−	1.51000i	0.143186	−	0.0651614i
$538$	−20.0637	−	5.89124i	−0.865009	−	0.253990i
$539$	21.3237	−	24.6089i	0.918478	−	1.05998i
$540$	4.99146	−	1.44406i	0.214798	−	0.0621425i
$541$	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
$543$	−0.0182214	+	13.7283i	−0.000781957	+	0.589139i
$544$	3.16201	−	0.454628i	0.135570	−	0.0194920i
$545$	−3.89957	+	3.37900i	−0.167039	+	0.144740i
$546$	−26.4189	−	30.5709i	−1.13062	−	1.30831i
$547$	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
$549$	9.65424	−	4.37801i	0.412033	−	0.186849i
$550$	1.39266	+	2.16703i	0.0593834	+	0.0924024i
$551$	−7.74288			−0.329858
$552$	4.66362	−	6.87391i	0.198497	−	0.292573i
$553$	58.1951			2.47471
$554$	−1.72675	−	2.68688i	−0.0733626	−	0.114154i
$555$	14.0368	−	1.99917i	0.595828	−	0.0848601i
$556$	0.0677500	−	0.148352i	0.00287324	−	0.00629152i
$557$	8.82273	−	2.59059i	0.373831	−	0.109767i	−0.0894196	−	0.995994i	$-0.528501\pi$
$557$	8.82273	−	2.59059i	0.373831	−	0.109767i	0.463250	+	0.886227i	$0.346683\pi$
$558$	−10.1343	+	15.6776i	−0.429019	+	0.663687i
$559$	23.8494	−	20.6656i	1.00872	−	0.874064i
$560$	−4.38669	+	0.630711i	−0.185372	+	0.0266524i
$561$	−14.2529	−	0.0189177i	−0.601758	−	0.000798706i
$562$	7.80023	+	6.75893i	0.329033	+	0.285108i
$563$	36.5528	+	23.4911i	1.54052	+	0.990030i	0.987635	+	0.156770i	$0.0501081\pi$
$563$	36.5528	+	23.4911i	1.54052	+	0.990030i	0.552881	+	0.833260i	$0.313528\pi$
$564$	4.63161	−	15.6967i	0.195026	−	0.660950i
$565$	12.2155	−	14.0975i	0.513911	−	0.593085i
$566$	9.03930	+	2.65418i	0.379950	+	0.111563i
$567$	11.4403	−	38.2103i	0.480446	−	1.60468i
$568$	9.17583	+	10.5895i	0.385009	+	0.444324i
$569$	−16.0986	−	35.2511i	−0.674889	−	1.47780i	−0.867969	−	0.496619i	$-0.834575\pi$
$569$	−16.0986	−	35.2511i	−0.674889	−	1.47780i	0.193080	−	0.981183i	$-0.438152\pi$
$570$	−4.19444	+	2.68774i	−0.175686	+	0.112577i
$571$	−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
$573$	16.2251	−	18.6746i	0.677814	−	0.780144i
$574$			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
$579$	−3.30990	+	22.8059i	−0.137555	+	0.947782i
$580$	−0.758444	−	2.58302i	−0.0314927	−	0.107254i
$581$	61.5600	−	28.1135i	2.55394	−	1.16634i
$582$	14.4072	+	9.28598i	0.597197	+	0.384916i
$583$	−0.472134	−	3.28376i	−0.0195538	−	0.136000i
$584$	−4.68878	+	15.9685i	−0.194023	+	0.660782i
$585$	2.28879	−	15.6243i	0.0946297	−	0.645986i
$586$	2.69526	−	4.19391i	0.111340	−	0.173249i
$587$	−5.61056	+	8.73020i	−0.231573	+	0.360334i	−0.937521	−	0.347930i	$-0.886885\pi$
$587$	−5.61056	+	8.73020i	−0.231573	+	0.360334i	0.705948	+	0.708264i	$0.250521\pi$
$588$	−9.12178	+	19.9040i	−0.376176	+	0.820826i
$589$	5.04230	−	17.1725i	0.207764	−	0.707580i
$590$	−1.10199	−	7.66451i	−0.0453682	−	0.315543i
$591$	−4.58318	+	7.11080i	−0.188527	+	0.292499i
$592$	−7.44618	+	3.40056i	−0.306036	+	0.139762i
$593$	−3.25641	−	11.0903i	−0.133725	−	0.455425i	0.865218	−	0.501396i	$-0.167180\pi$
$593$	−3.25641	−	11.0903i	−0.133725	−	0.455425i	−0.998943	+	0.0459711i	$0.985362\pi$
$594$	12.1975	−	5.51182i	0.500469	−	0.226153i
$595$	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	$-0.780453\pi$
$599$		−	31.1475i		−	1.27265i	0.771420	−	0.636326i	$-0.219547\pi$
$600$	−1.30749	−	1.13599i	−0.0533781	−	0.0463765i
$601$	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
$603$	5.70715	+	4.97186i	0.232413	+	0.202470i
$604$	−9.66574	−	21.1650i	−0.393293	−	0.861192i
$605$	−2.85813	−	3.29845i	−0.116199	−	0.134101i
$606$	−9.92487	−	21.8090i	−0.403170	−	0.885930i
$607$	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
$609$	−19.8198	−	5.84821i	−0.803139	−	0.236981i
$610$	−2.97258	−	1.91036i	−0.120356	−	0.0773482i
$611$	−37.5875	−	32.5698i	−1.52063	−	1.31763i
$612$	9.20250	−	2.67558i	0.371989	−	0.108154i
$613$	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
$615$	−5.47971	+	4.73547i	−0.220963	+	0.190953i
$616$	−10.9537	+	3.21629i	−0.441336	+	0.129588i
$617$	−17.2145	+	37.6946i	−0.693031	+	1.51753i	0.155191	+	0.987884i	$0.450401\pi$
$617$	−17.2145	+	37.6946i	−0.693031	+	1.51753i	−0.848222	+	0.529641i	$0.822327\pi$
$618$	0.966823	+	6.78835i	0.0388913	+	0.273068i
$619$	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
$621$	10.9731	−	22.3739i	0.440335	−	0.897833i
$622$	−14.4606			−0.579817
$623$	−22.8406	−	35.5407i	−0.915090	−	1.42391i
$624$	1.28550	+	9.02589i	0.0514613	+	0.361325i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	20.4186	−	5.99544i	0.816091	−	0.239626i
$627$	−9.70937	+	8.39068i	−0.387755	+	0.335092i
$628$	0.225311	−	0.195233i	0.00899090	−	0.00779066i
$629$	25.8839	−	3.72155i	1.03206	−	0.148388i
$630$	−12.7667	+	3.71187i	−0.508639	+	0.147885i
$631$	−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
$633$	15.1859	+	4.48088i	0.603585	+	0.178099i
$634$	−6.07083	+	7.00611i	−0.241104	+	0.278248i
$635$	−4.98758	−	1.46448i	−0.197926	−	0.0581163i
$636$	0.923966	+	2.03033i	0.0366376	+	0.0805078i
$637$	43.5729	+	50.2858i	1.72642	+	1.99239i
$638$	−2.88075	−	6.30797i	−0.114050	−	0.249735i
$639$	31.6952	+	27.6117i	1.25384	+	1.09230i
$640$	0.909632	+	0.415415i	0.0359564	+	0.0164207i
$641$	0.972233	−	6.76203i	0.0384009	−	0.267084i	−0.961571	−	0.274556i	$-0.911469\pi$
$641$	0.972233	−	6.76203i	0.0384009	−	0.267084i	0.999972	+	0.00747157i	$0.00237830\pi$
$642$	11.6439	+	10.1165i	0.459546	+	0.399268i
$643$			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	0.0516421	−	0.998666i	$-0.483554\pi$
$647$	−4.58269	−	0.658892i	−0.180164	−	0.0259037i	−0.231806	+	0.972762i	$0.574464\pi$
$648$	−6.83294	+	5.85755i	−0.268423	+	0.230106i
$649$	−5.61956	−	19.1385i	−0.220587	−	0.751250i
$650$	−4.78802	+	2.18662i	−0.187802	+	0.0857661i
$651$	25.8774	−	40.1487i	1.01422	−	1.57355i
$652$	−2.00881	−	13.9716i	−0.0786712	−	0.547170i
$653$	−6.67154	+	22.7212i	−0.261078	+	0.889149i	0.719744	+	0.694240i	$0.244259\pi$
$653$	−6.67154	+	22.7212i	−0.261078	+	0.889149i	−0.980821	+	0.194909i	$0.937559\pi$
$654$	3.72342	−	8.12460i	0.145597	−	0.317697i
$655$	−10.0599	+	15.6534i	−0.393071	+	0.611631i
$656$	2.26063	−	3.51760i	0.0882626	−	0.137339i
$657$	−7.23666	+	49.4008i	−0.282329	+	1.92731i
$658$	−11.7976	+	40.1789i	−0.459918	+	1.56634i
$659$	2.08598	+	14.5083i	0.0812584	+	0.565164i	0.989257	+	0.146190i	$0.0467011\pi$
$659$	2.08598	+	14.5083i	0.0812584	+	0.565164i	−0.907998	+	0.418974i	$0.862390\pi$
$660$	−3.75020	−	2.41714i	−0.145976	−	0.0940872i
$661$	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
$663$	4.18309	−	28.8224i	0.162458	−	1.11937i
$664$	−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
$669$	−23.7234	+	27.3049i	−0.917198	+	1.05567i
$670$	0.359064	−	2.49735i	0.0138719	−	0.0964809i
$671$	−8.27961	−	3.78117i	−0.319631	−	0.145970i
$672$	6.46305	−	4.14144i	0.249318	−	0.159760i
$673$	−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
$675$	−4.36006	−	2.82664i	−0.167819	−	0.108797i
$676$	14.1107	+	4.14328i	0.542720	+	0.159357i
$677$	16.4213	−	18.9512i	0.631122	−	0.728354i	−0.346657	−	0.937992i	$-0.612683\pi$
$677$	16.4213	−	18.9512i	0.631122	−	0.728354i	0.977779	+	0.209638i	$0.0672285\pi$
$678$	−9.14365	+	30.9882i	−0.351160	+	1.19009i
$679$	−36.8952	−	23.7111i	−1.41591	−	0.909949i
$680$	−2.41426	−	2.09197i	−0.0925826	−	0.0802233i
$681$	45.0038	+	0.0597329i	1.72455	+	0.00228897i
$682$	15.8661	−	2.28120i	0.607543	−	0.0873515i
$683$	8.41138	−	7.28850i	0.321852	−	0.278887i	−0.478916	−	0.877861i	$-0.658970\pi$
$683$	8.41138	−	7.28850i	0.321852	−	0.278887i	0.800768	+	0.598974i	$0.204425\pi$
$684$	4.68420	−	7.24639i	0.179105	−	0.277072i
$685$	3.26290	−	0.958073i	0.124669	−	0.0366061i
$686$	10.3850	−	22.7401i	0.396503	−	0.868220i
$687$	0.716535	−	0.102052i	0.0273375	−	0.00389351i
$688$	3.24129	+	5.04355i	0.123573	+	0.192284i
$689$	6.77903			0.258261
$690$	−8.24898	+	0.976928i	−0.314033	+	0.0371910i
$691$	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
$693$	−31.1910	+	14.1445i	−1.18485	+	0.537306i
$694$	−10.8270	+	23.7077i	−0.410986	+	0.899933i
$695$	−0.156484	+	0.0459477i	−0.00593576	+	0.00174290i
$696$	3.04881	+	3.52796i	0.115565	+	0.133727i
$697$	−10.0949	+	8.74732i	−0.382373	+	0.331328i
$698$	−24.8525	+	3.57325i	−0.940680	+	0.135249i
$699$	0.0515359	−	38.8280i	0.00194927	−	1.46861i
$700$	3.34933	+	2.90221i	0.126593	+	0.109693i
$701$	−39.0943	−	25.1244i	−1.47657	−	0.948935i	−0.997464	−	0.0711794i	$-0.977324\pi$
$701$	−39.0943	−	25.1244i	−1.47657	−	0.948935i	−0.479108	−	0.877756i	$-0.659040\pi$
$702$	7.60109	+	26.2735i	0.286885	+	0.991630i
$703$	15.4182	−	17.7935i	0.581507	−	0.671095i
$704$	2.47161	+	0.725729i	0.0931522	+	0.0273519i
$705$	−14.8958	+	6.77882i	−0.561010	+	0.255305i
$706$	1.37860	+	1.59098i	0.0518841	+	0.0598775i
$707$	25.4688	+	55.7690i	0.957854	+	2.09741i
$708$	7.23600	+	11.2924i	0.271946	+	0.424393i
$709$	−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
$711$	−35.7902	−	16.4598i	−1.34224	−	0.617292i
$712$			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
$717$	38.7475	+	5.62354i	1.44705	+	0.210015i
$718$	−3.55748	−	12.1157i	−0.132764	−	0.452152i
$719$	−23.5200	+	10.7412i	−0.877150	+	0.400581i	−0.802516	−	0.596630i	$-0.796506\pi$
$719$	−23.5200	+	10.7412i	−0.877150	+	0.400581i	−0.0746334	+	0.997211i	$0.523779\pi$
$720$	2.87623	+	0.852836i	0.107191	+	0.0317833i
$721$	−2.49686	−	17.3661i	−0.0929881	−	0.646747i
$722$	3.02231	−	10.2930i	0.112479	−	0.383067i
$723$	5.76402	+	2.64159i	0.214366	+	0.0982419i
$724$	−4.28516	+	6.66783i	−0.159257	+	0.247808i
$725$	−1.45544	+	2.26471i	−0.0540538	+	0.0841093i
$726$	6.87219	+	3.14945i	0.255051	+	0.116887i
$727$	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
$729$	−17.8432	+	20.2638i	−0.660858	+	0.750511i
$730$	15.1387	−	6.91362i	0.560309	−	0.255884i
$731$	−5.39576	−	18.3763i	−0.199569	−	0.679671i
$732$	6.05677	+	0.879038i	0.223864	+	0.0324902i
$733$	−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
$738$	5.24130	−	11.3967i	0.192935	−	0.419518i
$739$	−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
$741$	−14.1474	−	22.0782i	−0.519719	−	0.811064i
$742$	−2.37105	−	5.19187i	−0.0870438	−	0.190599i
$743$	3.38935	+	3.91152i	0.124343	+	0.143500i	0.814508	−	0.580153i	$-0.197007\pi$
$743$	3.38935	+	3.91152i	0.124343	+	0.143500i	−0.690164	+	0.723653i	$0.742462\pi$
$744$	−9.80989	+	4.46430i	−0.359648	+	0.163669i
$745$	6.67474	+	1.95988i	0.244544	+	0.0718045i
$746$	2.72955	−	3.15007i	0.0999360	−	0.115332i
$747$	−45.8112	−	0.121609i	−1.67615	−	0.00444946i
$748$	−6.92262	−	4.44890i	−0.253116	−	0.162668i
$749$	−29.8275	−	25.8457i	−1.08987	−	0.944380i
$750$	−0.00229893	+	1.73205i	−8.39449e−5	+	0.0632455i
$751$	−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
$753$	0.980496	+	1.13459i	0.0357313	+	0.0413468i
$754$	13.5962	−	3.99221i	0.495145	−	0.145388i
$755$	−9.66574	+	21.1650i	−0.351772	+	0.770274i
$756$	17.4636	−	15.0109i	0.635143	−	0.545942i
$757$	−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
$759$	−20.6745	+	5.51494i	−0.750438	+	0.200180i
$760$	−2.87618			−0.104330
$761$	19.8698	+	30.9180i	0.720278	+	1.12078i	0.987573	+	0.157160i	$0.0502339\pi$
$761$	19.8698	+	30.9180i	0.720278	+	1.12078i	−0.267295	+	0.963615i	$0.586130\pi$
$762$	8.91349	−	1.26949i	0.322902	−	0.0459889i
$763$	−9.49952	+	20.8011i	−0.343906	+	0.753049i
$764$	13.7043	−	4.02393i	0.495803	−	0.145581i
$765$	−8.04843	−	5.20265i	−0.290991	−	0.188102i
$766$	−6.84730	+	5.93322i	−0.247403	+	0.214376i
$767$	40.3436	−	5.80054i	1.45672	−	0.209445i
$768$	−1.73205	−	0.00229893i	−0.0624999	−	8.29553e-5i
$769$	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
$771$	6.54302	−	22.1745i	0.235641	−	0.798597i
$772$	−8.71290	+	10.0552i	−0.313584	+	0.361895i
$773$	11.6930	+	3.43336i	0.420566	+	0.123489i	0.485166	−	0.874422i	$-0.338759\pi$
$773$	11.6930	+	3.43336i	0.420566	+	0.123489i	−0.0646001	+	0.997911i	$0.520577\pi$
$774$	11.7421	+	13.6240i	0.422061	+	0.489705i
$775$	−4.07497	−	4.70276i	−0.146377	−	0.168928i
$776$	4.11098	+	9.00178i	0.147575	+	0.323145i
$777$	52.9061	−	33.9015i	1.89799	−	1.21621i
$778$	5.31706	+	2.42822i	0.190626	+	0.0870560i
$779$	−1.71154	+	11.9040i	−0.0613222	+	0.426505i
$780$	5.97949	−	6.88222i	0.214100	−	0.246423i
$781$		−	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
$786$	4.62897	−	31.8946i	0.165110	−	1.13764i
$787$	−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
$789$	−14.2979	−	9.21553i	−0.509018	−	0.328081i
$790$	1.86877	+	12.9976i	0.0664879	+	0.462434i
$791$	23.2906	−	79.3205i	0.828119	−	2.82031i
$792$	7.64625	+	1.12009i	0.271698	+	0.0398006i
$793$	10.0555	−	15.6467i	0.357083	−	0.555632i
$794$	8.40128	−	13.0726i	0.298150	−	0.463931i
$795$	0.929352	−	2.02787i	0.0329607	−	0.0719211i
$796$	4.87929	−	16.6174i	0.172942	−	0.588986i
$797$	−0.395321	−	2.74952i	−0.0140030	−	0.0973929i	0.981621	−	0.190839i	$-0.0611208\pi$
$797$	−0.395321	−	2.74952i	−0.0140030	−	0.0973929i	−0.995624	+	0.0934461i	$0.970212\pi$
$798$	−11.9608	+	18.5572i	−0.423409	+	0.656919i
$799$	−27.4566	+	12.5390i	−0.971346	+	0.443599i
$800$	−0.281733	−	0.959493i	−0.00996075	−	0.0339232i
$801$	3.99480	+	28.3179i	0.141149	+	1.00056i
$802$	−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
$807$	−27.3406	−	23.7544i	−0.962435	−	0.836194i
$808$	1.96878	−	13.6931i	0.0692614	−	0.481723i
$809$	11.6569	+	5.32354i	0.409836	+	0.187166i	0.609655	−	0.792667i	$-0.291308\pi$
$809$	11.6569	+	5.32354i	0.409836	+	0.187166i	−0.199819	+	0.979833i	$0.564035\pi$
$810$	8.90147	+	1.32811i	0.312766	+	0.0466651i
$811$	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
$813$	6.59089	+	14.4829i	0.231152	+	0.507936i
$814$	20.2324	+	5.94076i	0.709144	+	0.208224i
$815$	−9.24355	+	10.6676i	−0.323787	+	0.373670i
$816$	5.30687	+	1.56589i	0.185778	+	0.0548172i
$817$	−14.5062	−	9.32255i	−0.507507	−	0.326155i
$818$	−4.71498	−	4.08555i	−0.164855	−	0.142848i
$819$	−19.5381	−	67.2002i	−0.682718	−	2.34816i
$820$	−4.13882	+	0.595073i	−0.144534	+	0.0207808i
$821$	−30.6078	+	26.5218i	−1.06822	+	0.925619i	−0.997414	−	0.0718712i	$-0.977103\pi$
$821$	−30.6078	+	26.5218i	−1.06822	+	0.925619i	−0.0708071	+	0.997490i	$0.522557\pi$
$822$	−4.45655	+	3.85128i	−0.155440	+	0.134329i
$823$	−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
$825$	0.629101	+	4.41710i	0.0219025	+	0.153784i
$826$	−18.5531	−	28.8692i	−0.645545	−	1.00449i
$827$	−33.7382			−1.17319			−0.586595	−	0.809880i	$-0.699532\pi$
$827$	−33.7382			−1.17319			−0.586595	+	0.809880i	$0.699532\pi$
$828$	12.3035	−	7.45816i	0.427576	−	0.259189i
$829$	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
$831$	−0.780016	−	5.47672i	−0.0270584	−	0.189985i
$832$	−2.18662	+	4.78802i	−0.0758073	+	0.165995i
$833$	38.7458	−	11.3768i	1.34246	−	0.394182i
$834$	0.213729	−	0.184702i	0.00740085	−	0.00639569i
$835$	9.42595	−	8.16763i	0.326198	−	0.282653i
$836$	−7.33349	+	1.05440i	−0.253634	+	0.0364671i
$837$	−27.2703	+	17.3725i	−0.942601	+	0.600483i
$838$	−19.6606	−	17.0360i	−0.679164	−	0.588499i
$839$	−6.65551	−	4.27724i	−0.229774	−	0.147667i	0.420689	−	0.907205i	$-0.361789\pi$
$839$	−6.65551	−	4.27724i	−0.229774	−	0.147667i	−0.650462	+	0.759538i	$0.725425\pi$
$840$	−7.36229	−	2.17238i	−0.254023	−	0.0749543i
$841$	−14.2450	+	16.4396i	−0.491208	+	0.566884i
$842$	−13.6077	−	3.99558i	−0.468952	−	0.137697i
$843$	7.40470	+	16.2712i	0.255032	+	0.560408i
$844$	5.98627	+	6.90852i	0.206056	+	0.237801i
$845$	−6.10927	−	13.3774i	−0.210165	−	0.460198i
$846$	18.6197	−	21.3734i	0.640159	−	0.734832i
$847$	−17.5946	−	8.03517i	−0.604556	−	0.276092i
$848$	−0.183285	+	1.27478i	−0.00629404	+	0.0437760i
$849$	12.3178	+	10.7021i	0.422744	+	0.367293i
$850$			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
$855$	−8.54395	+	1.20529i	−0.292197	+	0.0412202i
$856$	2.50897	+	8.54477i	0.0857548	+	0.292054i
$857$	6.85306	−	3.12969i	0.234096	−	0.106908i	−0.294914	−	0.955524i	$-0.595291\pi$
$857$	6.85306	−	3.12969i	0.234096	−	0.106908i	0.529010	+	0.848616i	$0.322564\pi$
$858$	12.7231	−	19.7399i	0.434359	−	0.673908i
$859$	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
$861$	−13.3722	+	29.1785i	−0.455724	+	0.994401i
$862$	−2.57952	+	4.01381i	−0.0878588	+	0.136711i
$863$	−4.88599	+	7.60275i	−0.166321	+	0.258801i	−0.914402	−	0.404806i	$-0.867339\pi$
$863$	−4.88599	+	7.60275i	−0.166321	+	0.258801i	0.748081	+	0.663607i	$0.230975\pi$
$864$	−5.14617	+	0.719004i	−0.175076	+	0.0244610i
$865$	−0.493725	+	1.68147i	−0.0167872	+	0.0571718i
$866$	0.628442	+	4.37091i	0.0213553	+	0.148530i
$867$	9.89254	+	6.37612i	0.335968	+	0.216544i
$868$	25.0854	−	11.4561i	0.851454	−	0.388846i
$869$	9.52973	+	32.4553i	0.323274	+	1.10097i
$870$	0.669711	−	4.61446i	0.0227053	−	0.156445i
$871$	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
$876$	−18.9059	+	21.7601i	−0.638771	+	0.735207i
$877$	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
$879$	7.27026	−	4.65869i	0.245220	−	0.157134i
$880$	−1.07009	−	2.34317i	−0.0360727	−	0.0789881i
$881$	16.2012	+	18.6972i	0.545834	+	0.629926i	0.959907	−	0.280318i	$-0.0904398\pi$
$881$	16.2012	+	18.6972i	0.545834	+	0.629926i	−0.414073	+	0.910243i	$0.635894\pi$
$882$	−28.7258	+	24.7579i	−0.967248	+	0.833640i
$883$	−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
$885$	3.79563	−	12.8635i	0.127589	−	0.432403i
$886$	−11.3936	−	7.32222i	−0.382775	−	0.245995i
$887$	3.24366	+	2.81065i	0.108911	+	0.0943723i	0.707614	−	0.706599i	$-0.249771\pi$
$887$	3.24366	+	2.81065i	0.108911	+	0.0943723i	−0.598703	+	0.800971i	$0.704317\pi$
$888$	−14.1784	−	0.0188188i	−0.475797	−	0.000631519i
$889$	−22.8026	+	3.27852i	−0.764776	+	0.109958i
$890$	7.20438	−	6.24263i	0.241491	−	0.209254i
$891$	23.1832	+	0.123084i	0.776667	+	0.00412348i
$892$	−20.0375	+	5.88355i	−0.670906	+	0.196996i
$893$	−11.2895	+	24.7205i	−0.377788	+	0.827241i
$894$	−11.9287	+	1.69893i	−0.398955	+	0.0568207i
$895$	−1.13791	−	1.77062i	−0.0380361	−	0.0591854i
$896$	4.43180			0.148056
$897$	−5.14224	−	43.4201i	−0.171695	−	1.44975i
$898$	−32.5283			−1.08548
$899$	9.05671	+	14.0925i	0.302058	+	0.470012i
$900$	−1.23900	−	2.73219i	−0.0412999	−	0.0910732i
$901$	1.70909	−	3.74239i	0.0569381	−	0.124677i
$902$	−10.3347	+	3.03455i	−0.344109	+	0.101040i
$903$	−30.0908	−	34.8199i	−1.00136	−	1.15873i
$904$	−14.0975	+	12.2155i	−0.468875	+	0.406283i
$905$	7.84539	−	1.12800i	0.260790	−	0.0374959i
$906$	0.0534906	−	40.3007i	0.00177711	−	1.33890i
$907$	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
$909$	0.110170	−	41.5017i	0.00365409	−	1.37653i
$910$	−15.2763	+	17.6298i	−0.506406	+	0.584424i
$911$	11.1414	+	3.27142i	0.369132	+	0.108387i	0.461037	−	0.887381i	$-0.347477\pi$
$911$	11.1414	+	3.27142i	0.369132	+	0.108387i	−0.0919052	+	0.995768i	$0.529296\pi$
$912$	4.53425	−	2.06345i	0.150144	−	0.0683278i
$913$	25.7596	+	29.7281i	0.852517	+	0.983858i
$914$	9.60373	+	21.0292i	0.317663	+	0.695586i
$915$	−3.30200	−	5.15305i	−0.109161	−	0.170354i
$916$	0.380105	+	0.173588i	0.0125590	+	0.00573551i
$917$	−11.7358	+	81.6244i	−0.387551	+	2.69548i
$918$	16.4207	+	2.42772i	0.541965	+	0.0801267i
$919$		−	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
$924$	−19.5683	−	2.84000i	−0.643748	−	0.0934293i
$925$	−2.30624	−	7.85434i	−0.0758287	−	0.258249i
$926$	21.7907	−	9.95149i	0.716087	−	0.327026i
$927$	−3.37621	+	11.3864i	−0.110889	+	0.373979i
$928$	0.383122	+	2.66467i	0.0125766	+	0.0874720i
$929$	−5.10298	+	17.3792i	−0.167423	+	0.570192i	0.832447	+	0.554104i	$0.186939\pi$
$929$	−5.10298	+	17.3792i	−0.167423	+	0.570192i	−0.999871	+	0.0160873i	$0.994879\pi$
$930$	9.79801	+	4.49033i	0.321289	+	0.147244i
$931$	19.6563	−	30.5858i	0.644210	−	1.00241i
$932$	12.1198	−	18.8587i	0.396996	−	0.617738i
$933$	−22.7692	−	10.4349i	−0.745431	−	0.341624i
$934$	6.79177	−	23.1307i	0.222234	−	0.756858i
$935$	1.17110	+	8.14517i	0.0382990	+	0.266376i
$936$	−4.48906	+	15.1396i	−0.146730	+	0.494852i
$937$	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
$939$	36.4769	+	5.29402i	1.19038	+	0.172764i
$940$	−9.35260	−	1.34470i	−0.305048	−	0.0438593i
$941$	−29.6472	+	19.0531i	−0.966470	+	0.621113i	−0.925781	−	0.378059i	$-0.876592\pi$
$941$	−29.6472	+	19.0531i	−0.966470	+	0.621113i	−0.0406889	+	0.999172i	$0.512955\pi$
$942$	0.495651	−	0.144822i	0.0161492	−	0.00471856i
$943$	−11.2365	+	16.6094i	−0.365911	+	0.540876i
$944$			7.74333i			0.252024i
$945$	−22.7807	−	3.36801i	−0.741056	−	0.109561i
$946$	2.19785	−	15.2864i	0.0714582	−	0.497002i
$947$	5.68650	+	2.59694i	0.184786	+	0.0843891i	0.505660	−	0.862733i	$-0.331249\pi$
$947$	5.68650	+	2.59694i	0.184786	+	0.0843891i	−0.320873	+	0.947122i	$0.603976\pi$
$948$	−12.2709	−	19.1498i	−0.398541	−	0.621956i
$949$	36.3911	+	79.6854i	1.18131	+	2.58670i
$950$	1.88350	+	2.17367i	0.0611088	+	0.0705233i
$951$	−14.6146	+	6.65086i	−0.473912	+	0.215669i
$952$	−13.5840	−	3.98863i	−0.440260	−	0.129272i
$953$	−32.4398	+	37.4375i	−1.05083	+	1.21272i	−0.0743194	+	0.997234i	$0.523678\pi$
$953$	−32.4398	+	37.4375i	−1.05083	+	1.21272i	−0.976507	+	0.215484i	$0.930867\pi$
$954$	−0.0102563	+	3.86364i	−0.000332061	+	0.125090i
$955$	−12.0155	−	7.72187i	−0.388811	−	0.249874i
$956$	17.0839	+	14.8033i	0.552533	+	0.478772i
$957$	0.0159422	−	12.0111i	0.000515339	−	0.388265i
$958$	−30.9314	+	4.44727i	−0.999349	+	0.143685i
$959$	11.3899	−	9.86940i	0.367799	−	0.318700i
$960$	1.13251	+	1.31050i	0.0365517	+	0.0422962i
$961$	−7.40856	+	2.17535i	−0.238986	+	0.0701726i
$962$	−17.8995	+	39.1944i	−0.577102	+	1.26368i
$963$	11.0339	+	24.3316i	0.355562	+	0.784074i
$964$	1.97912	+	3.07957i	0.0637431	+	0.0991862i
$965$	13.3050			0.428302
$966$	−31.4556	+	19.1250i	−1.01207	+	0.615336i
$967$	−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
$969$	−15.7551	+	2.24391i	−0.506128	+	0.0720847i
$970$	4.11098	−	9.00178i	0.131995	−	0.289030i
$971$	−17.5827	+	5.16274i	−0.564255	+	0.165680i	−0.551406	−	0.834237i	$-0.685908\pi$
$971$	−17.5827	+	5.16274i	−0.564255	+	0.165680i	−0.0128492	+	0.999917i	$0.504090\pi$
$972$	−14.9858	+	4.29242i	−0.480671	+	0.137679i
$973$	−0.546242	+	0.473322i	−0.0175117	+	0.0151740i
$974$	−36.4382	+	5.23902i	−1.16755	+	0.167869i
$975$	−9.11697	−	0.0121008i	−0.291977	−	0.000387537i
$976$	2.67045	+	2.31396i	0.0854790	+	0.0740680i
$977$	−19.4173	−	12.4787i	−0.621213	−	0.399229i	0.191834	−	0.981427i	$-0.438556\pi$
$977$	−19.4173	−	12.4787i	−0.621213	−	0.399229i	−0.813047	+	0.582198i	$0.802193\pi$
$978$	6.91904	−	23.4489i	0.221246	−	0.749813i
$979$	16.0807	−	18.5581i	0.513942	−	0.593120i
$980$	12.1288	+	3.56134i	0.387441	+	0.113763i
$981$	11.7256	−	10.1059i	0.374369	−	0.322657i
$982$	−12.2800	−	14.1719i	−0.391871	−	0.452244i
$983$	16.7487	+	36.6746i	0.534201	+	1.16974i	0.963778	+	0.266707i	$0.0859355\pi$
$983$	16.7487	+	36.6746i	0.534201	+	1.16974i	−0.429577	+	0.903030i	$0.641337\pi$
$984$	6.09786	−	3.90743i	0.194393	−	0.124564i
$985$	4.44291	+	2.02901i	0.141563	+	0.0646497i
$986$	1.22389	−	8.51234i	0.0389766	−	0.271088i
$987$	−47.5696	+	54.7513i	−1.51416	+	1.74275i
$988$		−	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
$993$	3.82532	−	26.3573i	0.121393	−	0.836423i
$994$	−17.4950	−	59.5825i	−0.554908	−	1.88984i
$995$	−15.7538	+	7.19453i	−0.499429	+	0.228082i
$996$	−22.2315	−	14.3290i	−0.704432	−	0.454033i
$997$	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
$999$	−42.1261	+	5.88571i	−1.33281	+	0.186216i

Twists

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

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(0.540641 + 0.841254i) q^{2} +(0.244221 + 1.71475i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(-1.31050 + 1.13251i) q^{6} +(3.34933 - 2.90221i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.88071 + 0.837554i) q^{9} +O(q^{10})\)	\(q+(0.540641 + 0.841254i) q^{2} +(0.244221 + 1.71475i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(0.959493 - 0.281733i) q^{5} +(-1.31050 + 1.13251i) q^{6} +(3.34933 - 2.90221i) q^{7} +(-0.989821 + 0.142315i) q^{8} +(-2.88071 + 0.837554i) q^{9} +(0.755750 + 0.654861i) q^{10} +(2.16703 + 1.39266i) q^{11} +(-1.66124 - 0.490180i) q^{12} +(-3.44698 + 3.97803i) q^{13} +(4.25228 + 1.24858i) q^{14} +(0.717428 + 1.57648i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.32705 + 2.90584i) q^{17} +(-2.26203 - 1.97059i) q^{18} +(2.61627 + 1.19481i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(5.79454 + 5.03448i) 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} +(-2.13972 - 4.73514i) q^{27} +(1.24858 + 4.25228i) q^{28} +(-2.44879 + 1.11833i) q^{29} +(-0.938351 + 1.45585i) q^{30} +(-0.885575 - 6.15931i) q^{31} +(0.281733 - 0.959493i) q^{32} +(-1.85883 + 4.05602i) q^{33} +(-1.72709 + 2.68740i) q^{34} +(2.39601 - 3.72827i) q^{35} +(0.434826 - 2.96832i) q^{36} +(2.30624 - 7.85434i) q^{37} +(0.409323 + 2.84691i) q^{38} +(-7.66314 - 4.93919i) q^{39} +(-0.909632 + 0.415415i) q^{40} +(1.17803 + 4.01201i) q^{41} +(-1.10251 + 7.59652i) 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} +(1.13599 - 1.30749i) q^{48} +(1.79898 - 12.5122i) q^{49} +(0.909632 + 0.415415i) q^{50} +(-4.65868 + 2.98522i) q^{51} +(-2.18662 - 4.78802i) q^{52} +(-0.843386 - 0.973319i) q^{53} +(2.82664 - 4.36006i) q^{54} +(2.47161 + 0.725729i) q^{55} +(-2.90221 + 3.34933i) q^{56} +(-1.40985 + 4.77803i) q^{57} +(-2.26471 - 1.45544i) q^{58} +(-5.85202 - 5.07080i) q^{59} +(-1.73205 - 0.00229893i) q^{60} +(-3.49755 + 0.502871i) q^{61} +(4.70276 - 4.07497i) q^{62} +(-7.21770 + 11.1657i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-2.18662 + 4.78802i) q^{65} +(-4.41710 + 0.629101i) q^{66} +(-1.36405 - 2.12251i) q^{67} -3.19452 q^{68} +(-5.59441 + 6.14024i) q^{69} +4.43180 q^{70} +(-7.57539 - 11.7875i) q^{71} +(2.73219 - 1.23900i) q^{72} +(6.91362 - 15.1387i) q^{73} +(7.85434 - 2.30624i) q^{74} +(1.13251 + 1.31050i) q^{75} +(-2.17367 + 1.88350i) q^{76} +(11.2999 - 1.62468i) q^{77} +(0.0121008 - 9.11697i) q^{78} +(9.92394 + 8.59914i) q^{79} +(-0.841254 - 0.540641i) q^{80} +(7.59701 - 4.82550i) q^{81} +(-2.73822 + 3.16008i) q^{82} +(14.6519 + 4.30219i) q^{83} +(-6.98666 + 3.17950i) q^{84} +(2.09197 + 2.41426i) q^{85} +(-2.49053 - 5.45350i) q^{86} +(-2.51569 - 3.92594i) q^{87} +(-2.34317 - 1.07009i) q^{88} +(1.35665 - 9.43573i) q^{89} +(-2.72558 - 1.25348i) 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} +(1.71409 + 0.248772i) q^{96} +(-2.78804 - 9.49521i) q^{97} +(11.4985 - 5.25121i) q^{98} +(-7.40901 - 2.19686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9}+O(q^{10}) \) 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9	\( 160 q + 16 q^{4} + 16 q^{5} - 2 q^{6} - 46 q^{9} + 12 q^{11} + 12 q^{14} - 16 q^{16} - 8 q^{18} - 16 q^{20} + 70 q^{21} - 4 q^{23} + 2 q^{24} - 16 q^{25} + 42 q^{27} + 2 q^{30} - 4 q^{31} - 16 q^{33} + 2 q^{36} - 72 q^{38} + 140 q^{39} - 44 q^{41} + 44 q^{43} - 12 q^{44} + 2 q^{45} + 4 q^{46} + 70 q^{49} + 2 q^{51} + 52 q^{53} - 62 q^{54} + 10 q^{55} + 54 q^{56} - 94 q^{57} - 36 q^{58} - 44 q^{61} + 16 q^{64} - 54 q^{66} - 44 q^{67} - 30 q^{69} - 12 q^{70} - 36 q^{72} - 28 q^{73} + 24 q^{74} + 88 q^{77} - 54 q^{78} - 44 q^{79} + 16 q^{80} - 66 q^{81} - 28 q^{82} - 4 q^{83} - 4 q^{84} - 158 q^{86} + 156 q^{87} - 80 q^{89} + 8 q^{90} + 4 q^{92} + 4 q^{93} + 24 q^{94} - 2 q^{96} + 88 q^{98} - 58 q^{99}+O(q^{100}) \) 160 * q + 16 * q^4 + 16 * q^5 - 2 * q^6 - 46 * q^9 + 12 * q^11 + 12 * q^14 - 16 * q^16 - 8 * q^18 - 16 * q^20 + 70 * 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 + 140 * 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 - 62 * q^54 + 10 * q^55 + 54 * q^56 - 94 * q^57 - 36 * q^58 - 44 * q^61 + 16 * q^64 - 54 * q^66 - 44 * q^67 - 30 * 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 - 4 * q^84 - 158 * q^86 + 156 * q^87 - 80 * q^89 + 8 * q^90 + 4 * q^92 + 4 * q^93 + 24 * q^94 - 2 * q^96 + 88 * q^98 - 58 * q^99

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