LMFDB - Embedded newform 670.2.k.c.131.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [670,2,Mod(81,670)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(670, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 8]))

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

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

chi := DirichletCharacter("670.81");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 670 = 2 \cdot 5 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	670.k (of order $11$, 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:	$5.34997693543$
Analytic rank:	$0$
Dimension:	$50$
Relative dimension:	$5$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			131.4
Character	$\chi$	$=$	670.131
Dual form			670.2.k.c.491.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.959493 + 0.281733i) q^{2} +(0.221751 - 1.54231i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.647288 - 1.41736i) q^{6} +(3.39232 + 0.996075i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.548925 + 0.161179i) q^{9} +O(q^{10})$	\(q+(0.959493 + 0.281733i) q^{2} +(0.221751 - 1.54231i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.647288 - 1.41736i) q^{6} +(3.39232 + 0.996075i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.548925 + 0.161179i) q^{9} +(0.142315 + 0.989821i) q^{10} +(0.132399 + 0.289912i) q^{11} +(1.02039 - 1.17759i) q^{12} +(-2.45514 + 2.83338i) q^{13} +(2.97428 + 1.91145i) q^{14} +(1.49506 - 0.438988i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.71226 + 1.74306i) q^{17} +(0.481280 + 0.309300i) q^{18} +(-1.13043 + 0.331924i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(2.28851 - 5.01114i) q^{21} +(0.0453577 + 0.315470i) q^{22} +(0.542700 - 3.77456i) q^{23} +(1.31082 - 0.842412i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(-3.15394 + 2.02692i) q^{26} +(2.31218 - 5.06296i) q^{27} +(2.31528 + 2.67198i) q^{28} +5.05847 q^{29} +1.55817 q^{30} +(-5.82166 - 6.71855i) q^{31} +(0.142315 + 0.989821i) q^{32} +(0.476495 - 0.139912i) q^{33} +(-3.09347 + 0.908326i) q^{34} +(0.503159 + 3.49955i) q^{35} +(0.374645 + 0.432364i) q^{36} +6.85003 q^{37} -1.17815 q^{38} +(3.82553 + 4.41490i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-4.03727 + 2.59459i) q^{41} +(3.60761 - 4.16340i) q^{42} +(1.89838 - 1.22002i) q^{43} +(-0.0453577 + 0.315470i) q^{44} +(0.0814182 + 0.566276i) q^{45} +(1.58413 - 3.46877i) q^{46} +(0.283607 - 1.97253i) q^{47} +(1.49506 - 0.438988i) q^{48} +(4.62689 + 2.97352i) q^{49} +(-0.841254 + 0.540641i) q^{50} +(2.08690 + 4.56968i) q^{51} +(-3.59724 + 1.05624i) q^{52} +(-9.96963 - 6.40709i) q^{53} +(3.64492 - 4.20646i) q^{54} +(-0.208713 + 0.240868i) q^{55} +(1.46871 + 3.21603i) q^{56} +(0.261256 + 1.81708i) q^{57} +(4.85357 + 1.42514i) q^{58} +(-2.72749 - 3.14769i) q^{59} +(1.49506 + 0.438988i) q^{60} +(0.997934 - 2.18517i) q^{61} +(-3.69301 - 8.08656i) q^{62} +(1.70158 + 1.09354i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-3.59724 - 1.05624i) q^{65} +0.496611 q^{66} +(7.82553 - 2.40024i) q^{67} -3.22407 q^{68} +(-5.70121 - 1.67403i) q^{69} +(-0.503159 + 3.49955i) q^{70} +(-8.23293 - 5.29098i) q^{71} +(0.237659 + 0.520400i) q^{72} +(-0.552024 + 1.20876i) q^{73} +(6.57256 + 1.92988i) q^{74} +(1.02039 + 1.17759i) q^{75} +(-1.13043 - 0.331924i) q^{76} +(0.160364 + 1.11535i) q^{77} +(2.42675 + 5.31384i) q^{78} +(-4.84787 + 5.59474i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(-5.85210 - 3.76092i) q^{81} +(-4.60471 + 1.35207i) q^{82} +(5.72771 + 12.5419i) q^{83} +(4.63444 - 2.97837i) q^{84} +(-2.71226 - 1.74306i) q^{85} +(2.16520 - 0.635761i) q^{86} +(1.12172 - 7.80174i) q^{87} +(-0.132399 + 0.289912i) q^{88} +(-2.47269 - 17.1979i) q^{89} +(-0.0814182 + 0.566276i) q^{90} +(-11.1509 + 7.16623i) q^{91} +(2.49723 - 2.88196i) q^{92} +(-11.6531 + 7.48897i) q^{93} +(0.827845 - 1.81273i) q^{94} +(-0.771525 - 0.890388i) q^{95} +1.55817 q^{96} -12.2263 q^{97} +(3.60173 + 4.15662i) q^{98} +(0.0259491 + 0.180480i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9}+O(q^{10}) $ 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9} + 5 q^{10} - 12 q^{11} - 2 q^{12} + 24 q^{13} + 23 q^{14} - 2 q^{15} - 5 q^{16} + 31 q^{17} + q^{18} + 4 q^{19} - 5 q^{20} + 12 q^{21} + q^{22} + 27 q^{23} - 9 q^{24} - 5 q^{25} - 2 q^{26} - 14 q^{27} + 10 q^{28} - 36 q^{29} + 2 q^{30} - 13 q^{31} + 5 q^{32} - 42 q^{33} + 2 q^{34} + 21 q^{35} - q^{36} - 50 q^{37} - 26 q^{38} - 31 q^{39} + 5 q^{40} - 10 q^{41} + 21 q^{42} + 16 q^{43} - q^{44} - q^{45} + 17 q^{46} - 13 q^{47} - 2 q^{48} - 40 q^{49} + 5 q^{50} - 19 q^{51} - 20 q^{52} - 5 q^{53} + 47 q^{54} + 10 q^{55} + 12 q^{56} - 90 q^{57} - 8 q^{58} - 20 q^{59} - 2 q^{60} + 12 q^{61} + 13 q^{62} - 15 q^{63} - 5 q^{64} - 20 q^{65} + 20 q^{66} - 21 q^{67} - 24 q^{68} + 77 q^{69} - 21 q^{70} + 24 q^{71} + 12 q^{72} - 68 q^{73} - 16 q^{74} - 2 q^{75} + 4 q^{76} + 7 q^{77} + 53 q^{78} - 26 q^{79} - 5 q^{80} - 21 q^{81} + 21 q^{82} - 10 q^{83} + 12 q^{84} + 31 q^{85} - 27 q^{86} + 61 q^{87} + 12 q^{88} + 51 q^{89} + q^{90} - 10 q^{91} - 6 q^{92} - 38 q^{93} - 9 q^{94} + 15 q^{95} + 2 q^{96} + 72 q^{97} - 37 q^{98} - 32 q^{99}+O(q^{100}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9 + 5 * q^10 - 12 * q^11 - 2 * q^12 + 24 * q^13 + 23 * q^14 - 2 * q^15 - 5 * q^16 + 31 * q^17 + q^18 + 4 * q^19 - 5 * q^20 + 12 * q^21 + q^22 + 27 * q^23 - 9 * q^24 - 5 * q^25 - 2 * q^26 - 14 * q^27 + 10 * q^28 - 36 * q^29 + 2 * q^30 - 13 * q^31 + 5 * q^32 - 42 * q^33 + 2 * q^34 + 21 * q^35 - q^36 - 50 * q^37 - 26 * q^38 - 31 * q^39 + 5 * q^40 - 10 * q^41 + 21 * q^42 + 16 * q^43 - q^44 - q^45 + 17 * q^46 - 13 * q^47 - 2 * q^48 - 40 * q^49 + 5 * q^50 - 19 * q^51 - 20 * q^52 - 5 * q^53 + 47 * q^54 + 10 * q^55 + 12 * q^56 - 90 * q^57 - 8 * q^58 - 20 * q^59 - 2 * q^60 + 12 * q^61 + 13 * q^62 - 15 * q^63 - 5 * q^64 - 20 * q^65 + 20 * q^66 - 21 * q^67 - 24 * q^68 + 77 * q^69 - 21 * q^70 + 24 * q^71 + 12 * q^72 - 68 * q^73 - 16 * q^74 - 2 * q^75 + 4 * q^76 + 7 * q^77 + 53 * q^78 - 26 * q^79 - 5 * q^80 - 21 * q^81 + 21 * q^82 - 10 * q^83 + 12 * q^84 + 31 * q^85 - 27 * q^86 + 61 * q^87 + 12 * q^88 + 51 * q^89 + q^90 - 10 * q^91 - 6 * q^92 - 38 * q^93 - 9 * q^94 + 15 * q^95 + 2 * q^96 + 72 * q^97 - 37 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/670\mathbb{Z}\right)^\times$.

$n$	$471$	$537$
$\chi(n)$	$e\left(\frac{1}{11}\right)$	$1$

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 $

$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$2$	0.959493	+	0.281733i	0.678464	+	0.199215i
$3$	0.221751	−	1.54231i	0.128028	−	0.890454i	−0.820022	−	0.572332i	$-0.806039\pi$
$3$	0.221751	−	1.54231i	0.128028	−	0.890454i	0.948050	−	0.318122i	$-0.103052\pi$
$4$	0.841254	+	0.540641i	0.420627	+	0.270320i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$5$	0.415415	+	0.909632i	0.185779	+	0.406800i
$6$	0.647288	−	1.41736i	0.264254	−	0.578636i
$7$	3.39232	+	0.996075i	1.28218	+	0.376481i	0.850704	−	0.525645i	$-0.176176\pi$
$7$	3.39232	+	0.996075i	1.28218	+	0.376481i	0.431472	+	0.902126i	$0.357994\pi$
$8$	0.654861	+	0.755750i	0.231528	+	0.267198i
$9$	0.548925	+	0.161179i	0.182975	+	0.0537263i
$10$	0.142315	+	0.989821i	0.0450039	+	0.313009i
$11$	0.132399	+	0.289912i	0.0399197	+	0.0874119i	0.928541	−	0.371229i	$-0.121064\pi$
$11$	0.132399	+	0.289912i	0.0399197	+	0.0874119i	−0.888622	+	0.458641i	$0.848336\pi$
$12$	1.02039	−	1.17759i	0.294560	−	0.339940i
$13$	−2.45514	+	2.83338i	−0.680933	+	0.785838i	−0.986045	−	0.166478i	$-0.946761\pi$
$13$	−2.45514	+	2.83338i	−0.680933	+	0.785838i	0.305112	+	0.952316i	$0.401306\pi$
$14$	2.97428	+	1.91145i	0.794910	+	0.510857i
$15$	1.49506	−	0.438988i	0.386022	−	0.113346i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	−2.71226	+	1.74306i	−0.657820	+	0.422755i	−0.826516	−	0.562913i	$-0.809681\pi$
$17$	−2.71226	+	1.74306i	−0.657820	+	0.422755i	0.168696	+	0.985668i	$0.446044\pi$
$18$	0.481280	+	0.309300i	0.113439	+	0.0729028i
$19$	−1.13043	+	0.331924i	−0.259338	+	0.0761485i	−0.408817	−	0.912616i	$-0.634059\pi$
$19$	−1.13043	+	0.331924i	−0.259338	+	0.0761485i	0.149479	+	0.988765i	$0.452240\pi$
$20$	−0.142315	+	0.989821i	−0.0318226	+	0.221331i
$21$	2.28851	−	5.01114i	0.499394	−	1.09352i
$22$	0.0453577	+	0.315470i	0.00967030	+	0.0672584i
$23$	0.542700	−	3.77456i	0.113161	−	0.787050i	−0.851651	−	0.524109i	$-0.824398\pi$
$23$	0.542700	−	3.77456i	0.113161	−	0.787050i	0.964812	−	0.262941i	$-0.0846925\pi$
$24$	1.31082	−	0.842412i	0.267570	−	0.171957i
$25$	−0.654861	+	0.755750i	−0.130972	+	0.151150i
$26$	−3.15394	+	2.02692i	−0.618539	+	0.397511i
$27$	2.31218	−	5.06296i	0.444979	−	0.974368i
$28$	2.31528	+	2.67198i	0.437547	+	0.504956i
$29$	5.05847			0.939334			0.469667	−	0.882844i	$-0.344374\pi$
$29$	5.05847			0.939334			0.469667	+	0.882844i	$0.344374\pi$
$30$	1.55817			0.284482
$31$	−5.82166	−	6.71855i	−1.04560	−	1.20669i	−0.977920	−	0.208981i	$-0.932985\pi$
$31$	−5.82166	−	6.71855i	−1.04560	−	1.20669i	−0.0676811	−	0.997707i	$-0.521560\pi$
$32$	0.142315	+	0.989821i	0.0251579	+	0.174977i
$33$	0.476495	−	0.139912i	0.0829471	−	0.0243555i
$34$	−3.09347	+	0.908326i	−0.530527	+	0.155777i
$35$	0.503159	+	3.49955i	0.0850494	+	0.591531i
$36$	0.374645	+	0.432364i	0.0624409	+	0.0720606i
$37$	6.85003			1.12614			0.563069	−	0.826410i	$-0.309620\pi$
$37$	6.85003			1.12614			0.563069	+	0.826410i	$0.309620\pi$
$38$	−1.17815			−0.191121
$39$	3.82553	+	4.41490i	0.612575	+	0.706949i
$40$	−0.415415	+	0.909632i	−0.0656829	+	0.143825i
$41$	−4.03727	+	2.59459i	−0.630515	+	0.405208i	−0.816500	−	0.577345i	$-0.804089\pi$
$41$	−4.03727	+	2.59459i	−0.630515	+	0.405208i	0.185985	+	0.982553i	$0.440452\pi$
$42$	3.60761	−	4.16340i	0.556666	−	0.642427i
$43$	1.89838	−	1.22002i	0.289501	−	0.186051i	−0.387827	−	0.921732i	$-0.626774\pi$
$43$	1.89838	−	1.22002i	0.289501	−	0.186051i	0.677328	+	0.735681i	$0.263138\pi$
$44$	−0.0453577	+	0.315470i	−0.00683793	+	0.0475589i
$45$	0.0814182	+	0.566276i	0.0121371	+	0.0844155i
$46$	1.58413	−	3.46877i	0.233568	−	0.511442i
$47$	0.283607	−	1.97253i	0.0413683	−	0.287723i	−0.958627	−	0.284665i	$-0.908118\pi$
$47$	0.283607	−	1.97253i	0.0413683	−	0.287723i	0.999995	−	0.00305782i	$-0.000973336\pi$
$48$	1.49506	−	0.438988i	0.215793	−	0.0633624i
$49$	4.62689	+	2.97352i	0.660984	+	0.424789i
$50$	−0.841254	+	0.540641i	−0.118971	+	0.0764582i
$51$	2.08690	+	4.56968i	0.292225	+	0.639883i
$52$	−3.59724	+	1.05624i	−0.498847	+	0.146475i
$53$	−9.96963	−	6.40709i	−1.36943	−	0.880082i	−0.370620	−	0.928784i	$-0.620855\pi$
$53$	−9.96963	−	6.40709i	−1.36943	−	0.880082i	−0.998813	+	0.0487029i	$0.984491\pi$
$54$	3.64492	−	4.20646i	0.496011	−	0.572427i
$55$	−0.208713	+	0.240868i	−0.0281429	+	0.0324786i
$56$	1.46871	+	3.21603i	0.196265	+	0.429761i
$57$	0.261256	+	1.81708i	0.0346043	+	0.240678i
$58$	4.85357	+	1.42514i	0.637304	+	0.187129i
$59$	−2.72749	−	3.14769i	−0.355089	−	0.409795i	0.549899	−	0.835231i	$-0.314666\pi$
$59$	−2.72749	−	3.14769i	−0.355089	−	0.409795i	−0.904988	+	0.425436i	$0.860121\pi$
$60$	1.49506	+	0.438988i	0.193011	+	0.0566731i
$61$	0.997934	−	2.18517i	0.127772	−	0.279783i	−0.834925	−	0.550364i	$-0.814489\pi$
$61$	0.997934	−	2.18517i	0.127772	−	0.279783i	0.962697	+	0.270582i	$0.0872161\pi$
$62$	−3.69301	−	8.08656i	−0.469012	−	1.02699i
$63$	1.70158	+	1.09354i	0.214379	+	0.137773i
$64$	−0.142315	+	0.989821i	−0.0177894	+	0.123728i
$65$	−3.59724	−	1.05624i	−0.446182	−	0.131011i
$66$	0.496611			0.0611286
$67$	7.82553	−	2.40024i	0.956040	−	0.293235i
$67$	7.82553	−	2.40024i	0.956040	−	0.293235i
$68$	−3.22407			−0.390976
$69$	−5.70121	−	1.67403i	−0.686345	−	0.201529i
$70$	−0.503159	+	3.49955i	−0.0601390	+	0.418276i
$71$	−8.23293	−	5.29098i	−0.977069	−	0.627924i	−0.0483979	−	0.998828i	$-0.515412\pi$
$71$	−8.23293	−	5.29098i	−0.977069	−	0.627924i	−0.928671	+	0.370904i	$0.879048\pi$
$72$	0.237659	+	0.520400i	0.0280083	+	0.0613297i
$73$	−0.552024	+	1.20876i	−0.0646095	+	0.141475i	−0.939182	−	0.343419i	$-0.888415\pi$
$73$	−0.552024	+	1.20876i	−0.0646095	+	0.141475i	0.874573	+	0.484895i	$0.161142\pi$
$74$	6.57256	+	1.92988i	0.764044	+	0.224344i
$75$	1.02039	+	1.17759i	0.117824	+	0.135976i
$76$	−1.13043	−	0.331924i	−0.129669	−	0.0380743i
$77$	0.160364	+	1.11535i	0.0182751	+	0.127106i
$78$	2.42675	+	5.31384i	0.274775	+	0.601674i
$79$	−4.84787	+	5.59474i	−0.545428	+	0.629457i	−0.959812	−	0.280645i	$-0.909452\pi$
$79$	−4.84787	+	5.59474i	−0.545428	+	0.629457i	0.414384	+	0.910102i	$0.363997\pi$
$80$	−0.654861	+	0.755750i	−0.0732157	+	0.0844954i
$81$	−5.85210	−	3.76092i	−0.650233	−	0.417880i
$82$	−4.60471	+	1.35207i	−0.508505	+	0.149311i
$83$	5.72771	+	12.5419i	0.628698	+	1.37666i	0.909021	+	0.416750i	$0.136831\pi$
$83$	5.72771	+	12.5419i	0.628698	+	1.37666i	−0.280324	+	0.959906i	$0.590442\pi$
$84$	4.63444	−	2.97837i	0.505659	−	0.324967i
$85$	−2.71226	−	1.74306i	−0.294186	−	0.189062i
$86$	2.16520	−	0.635761i	0.233480	−	0.0685558i
$87$	1.12172	−	7.80174i	0.120261	−	0.836434i
$88$	−0.132399	+	0.289912i	−0.0141137	+	0.0309048i
$89$	−2.47269	−	17.1979i	−0.262105	−	1.82298i	−0.516971	−	0.856003i	$-0.672941\pi$
$89$	−2.47269	−	17.1979i	−0.262105	−	1.82298i	0.254867	−	0.966976i	$-0.417968\pi$
$90$	−0.0814182	+	0.566276i	−0.00858223	+	0.0596907i
$91$	−11.1509	+	7.16623i	−1.16893	+	0.751225i
$92$	2.49723	−	2.88196i	0.260354	−	0.300465i
$93$	−11.6531	+	7.48897i	−1.20837	+	0.776570i
$94$	0.827845	−	1.81273i	0.0853857	−	0.186969i
$95$	−0.771525	−	0.890388i	−0.0791568	−	0.0913519i
$96$	1.55817			0.159030
$97$	−12.2263			−1.24140			−0.620698	−	0.784050i	$-0.713151\pi$
$97$	−12.2263			−1.24140			−0.620698	+	0.784050i	$0.713151\pi$
$98$	3.60173	+	4.15662i	0.363830	+	0.419882i
$99$	0.0259491	+	0.180480i	0.00260798	+	0.0181389i
$100$	−0.959493	+	0.281733i	−0.0959493	+	0.0281733i
$101$	−14.6592	+	4.30433i	−1.45864	+	0.428297i	−0.912390	−	0.409323i	$-0.865765\pi$
$101$	−14.6592	+	4.30433i	−1.45864	+	0.428297i	−0.546254	+	0.837619i	$0.683947\pi$
$102$	0.714941	+	4.97253i	0.0707897	+	0.492353i
$103$	9.31520	+	10.7503i	0.917854	+	1.05926i	0.998046	+	0.0624800i	$0.0199010\pi$
$103$	9.31520	+	10.7503i	0.917854	+	1.05926i	−0.0801927	+	0.996779i	$0.525554\pi$
$104$	−3.74910			−0.367630
$105$	5.50897			0.537620
$106$	−7.76070	−	8.95633i	−0.753786	−	0.869915i
$107$	−3.04920	+	6.67683i	−0.294778	+	0.645473i	−0.997843	−	0.0656525i	$-0.979087\pi$
$107$	−3.04920	+	6.67683i	−0.294778	+	0.645473i	0.703065	+	0.711126i	$0.251814\pi$
$108$	4.68237	−	3.00918i	0.450561	−	0.289558i
$109$	−7.82598	+	9.03166i	−0.749593	+	0.865076i	−0.994529	−	0.104463i	$-0.966688\pi$
$109$	−7.82598	+	9.03166i	−0.749593	+	0.865076i	0.244936	+	0.969539i	$0.421233\pi$
$110$	−0.268119	+	0.172310i	−0.0255642	+	0.0164291i
$111$	1.51900	−	10.5649i	0.144177	−	1.00278i
$112$	0.503159	+	3.49955i	0.0475440	+	0.330676i
$113$	1.42392	−	3.11794i	0.133951	−	0.293311i	−0.830757	−	0.556636i	$-0.812092\pi$
$113$	1.42392	−	3.11794i	0.133951	−	0.293311i	0.964707	+	0.263325i	$0.0848191\pi$
$114$	−0.261256	+	1.81708i	−0.0244689	+	0.170185i
$115$	3.65891	−	1.07435i	0.341195	−	0.100184i
$116$	4.25546	+	2.73482i	0.395109	+	0.253921i
$117$	−1.80437	+	1.15960i	−0.166814	+	0.107205i
$118$	−1.73020	−	3.78861i	−0.159278	−	0.348770i
$119$	−10.9371	+	3.21142i	−1.00260	+	0.294390i
$120$	1.31082	+	0.842412i	0.119661	+	0.0769013i
$121$	7.13695	−	8.23648i	0.648813	−	0.748771i
$122$	1.57315	−	1.81551i	0.142426	−	0.164368i
$123$	3.10641	+	6.80208i	0.280095	+	0.613323i
$124$	−1.26517	−	8.79943i	−0.113615	−	0.790212i
$125$	−0.959493	−	0.281733i	−0.0858197	−	0.0251989i
$126$	1.32457	+	1.52864i	0.118002	+	0.136182i
$127$	−1.57161	−	0.461468i	−0.139458	−	0.0409486i	0.211259	−	0.977430i	$-0.432244\pi$
$127$	−1.57161	−	0.461468i	−0.139458	−	0.0409486i	−0.350717	+	0.936482i	$0.614062\pi$
$128$	−0.415415	+	0.909632i	−0.0367178	+	0.0804009i
$129$	−1.46068	−	3.19844i	−0.128605	−	0.281607i
$130$	−3.15394	−	2.02692i	−0.276619	−	0.177772i
$131$	0.224593	−	1.56208i	0.0196228	−	0.136480i	−0.977655	−	0.210216i	$-0.932583\pi$
$131$	0.224593	−	1.56208i	0.0196228	−	0.136480i	0.997278	+	0.0737365i	$0.0234924\pi$
$132$	0.476495	+	0.139912i	0.0414736	+	0.0121777i
$133$	−4.16540			−0.361186
$134$	8.18476	−	0.0983033i	0.707056	−	0.00849211i
$135$	5.56595			0.479040
$136$	−3.09347	−	0.908326i	−0.265263	−	0.0778883i
$137$	−0.411254	+	2.86033i	−0.0351358	+	0.244375i	−0.999819	−	0.0190390i	$-0.993939\pi$
$137$	−0.411254	+	2.86033i	−0.0351358	+	0.244375i	0.964683	+	0.263414i	$0.0848484\pi$
$138$	−4.99864	−	3.21243i	−0.425512	−	0.273460i
$139$	8.42408	+	18.4462i	0.714521	+	1.56458i	0.821427	+	0.570314i	$0.193179\pi$
$139$	8.42408	+	18.4462i	0.714521	+	1.56458i	−0.106905	+	0.994269i	$0.534094\pi$
$140$	−1.46871	+	3.21603i	−0.124129	+	0.271805i
$141$	−2.97937	−	0.874821i	−0.250908	−	0.0736732i
$142$	−6.40880	−	7.39615i	−0.537814	−	0.620671i
$143$	−1.14649	−	0.336639i	−0.0958742	−	0.0281512i
$144$	0.0814182	+	0.566276i	0.00678485	+	0.0471897i
$145$	2.10136	+	4.60135i	0.174509	+	0.382121i
$146$	−0.870211	+	1.00428i	−0.0720192	+	0.0831146i
$147$	5.61212	−	6.47673i	0.462880	−	0.534192i
$148$	5.76261	+	3.70341i	0.473684	+	0.304418i
$149$	−5.26421	+	1.54571i	−0.431261	+	0.126630i	−0.490156	−	0.871635i	$-0.663060\pi$
$149$	−5.26421	+	1.54571i	−0.431261	+	0.126630i	0.0588956	+	0.998264i	$0.481242\pi$
$150$	0.647288	+	1.41736i	0.0528509	+	0.115727i
$151$	9.55237	−	6.13894i	0.777361	−	0.499580i	−0.0907959	−	0.995870i	$-0.528941\pi$
$151$	9.55237	−	6.13894i	0.777361	−	0.499580i	0.868157	+	0.496290i	$0.165305\pi$
$152$	−0.991124	−	0.636957i	−0.0803908	−	0.0516640i
$153$	−1.76977	+	0.519653i	−0.143078	+	0.0420114i
$154$	−0.160364	+	1.11535i	−0.0129225	+	0.0898778i
$155$	3.69301	−	8.08656i	0.296629	−	0.649528i
$156$	0.831367	+	5.78228i	0.0665626	+	0.462953i
$157$	−1.53901	+	10.7041i	−0.122826	+	0.854276i	0.831503	+	0.555520i	$0.187481\pi$
$157$	−1.53901	+	10.7041i	−0.122826	+	0.854276i	−0.954329	+	0.298756i	$0.903428\pi$
$158$	−6.22771	+	4.00231i	−0.495450	+	0.318407i
$159$	−12.0925	+	13.9555i	−0.958998	+	1.10674i
$160$	−0.841254	+	0.540641i	−0.0665069	+	0.0427414i
$161$	5.60076	−	12.2639i	0.441401	−	0.966534i
$162$	−4.55548	−	5.25730i	−0.357912	−	0.413052i
$163$	4.07998			0.319568			0.159784	−	0.987152i	$-0.448920\pi$
$163$	4.07998			0.319568			0.159784	+	0.987152i	$0.448920\pi$
$164$	−4.79911			−0.374747
$165$	0.325211	+	0.375314i	0.0253177	+	0.0292181i
$166$	1.96222	+	13.6476i	0.152298	+	1.05926i
$167$	−14.5635	+	4.27622i	−1.12695	+	0.330904i	−0.791510	−	0.611156i	$-0.790705\pi$
$167$	−14.5635	+	4.27622i	−1.12695	+	0.330904i	−0.335444	+	0.942060i	$0.608886\pi$
$168$	5.28582	−	1.55206i	0.407810	−	0.119744i
$169$	−0.150249	−	1.04500i	−0.0115576	−	0.0803850i
$170$	−2.11132	−	2.43659i	−0.161931	−	0.186878i
$171$	−0.674020			−0.0515436
$172$	2.25661			0.172065
$173$	9.82340	+	11.3368i	0.746859	+	0.861921i	0.994260	−	0.106992i	$-0.0341219\pi$
$173$	9.82340	+	11.3368i	0.746859	+	0.861921i	−0.247401	+	0.968913i	$0.579576\pi$
$174$	3.27429	−	7.16969i	0.248223	−	0.543533i
$175$	−2.97428	+	1.91145i	−0.224834	+	0.144492i
$176$	−0.208713	+	0.240868i	−0.0157324	+	0.0181561i
$177$	−5.45955	+	3.50864i	−0.410365	+	0.263725i
$178$	2.47269	−	17.1979i	0.185336	−	1.28904i
$179$	−0.508259	−	3.53502i	−0.0379890	−	0.264220i	0.961971	−	0.273151i	$-0.0880660\pi$
$179$	−0.508259	−	3.53502i	−0.0379890	−	0.264220i	−0.999960	+	0.00893178i	$0.997157\pi$
$180$	−0.237659	+	0.520400i	−0.0177140	+	0.0387883i
$181$	2.71279	−	18.8679i	0.201640	−	1.40244i	−0.597777	−	0.801662i	$-0.703949\pi$
$181$	2.71279	−	18.8679i	0.201640	−	1.40244i	0.799417	−	0.600776i	$-0.205142\pi$
$182$	−12.7181	+	3.73438i	−0.942732	+	0.276811i
$183$	−3.14892	−	2.02369i	−0.232775	−	0.149596i
$184$	3.20801	−	2.06167i	0.236498	−	0.151988i
$185$	2.84561	+	6.23101i	0.209213	+	0.458113i
$186$	−13.2909	+	3.90257i	−0.974538	+	0.286150i
$187$	−0.864436	−	0.555539i	−0.0632138	−	0.0406250i
$188$	1.30502	−	1.50607i	0.0951780	−	0.109841i
$189$	12.8867	−	14.8721i	0.937372	−	1.08178i
$190$	−0.489422	−	1.07168i	−0.0355064	−	0.0777482i
$191$	−2.75874	−	19.1875i	−0.199616	−	1.38836i	−0.805402	−	0.592729i	$-0.798050\pi$
$191$	−2.75874	−	19.1875i	−0.199616	−	1.38836i	0.605786	−	0.795627i	$-0.292859\pi$
$192$	1.49506	+	0.438988i	0.107896	+	0.0316812i
$193$	−5.05908	−	5.83849i	−0.364160	−	0.420263i	0.543869	−	0.839170i	$-0.316959\pi$
$193$	−5.05908	−	5.83849i	−0.364160	−	0.420263i	−0.908029	+	0.418907i	$0.862413\pi$
$194$	−11.7311	−	3.44456i	−0.842243	−	0.247305i
$195$	−2.42675	+	5.31384i	−0.173783	+	0.380532i
$196$	2.28478	+	5.00297i	0.163199	+	0.357355i
$197$	8.75774	+	5.62826i	0.623963	+	0.400997i	0.814070	−	0.580767i	$-0.197247\pi$
$197$	8.75774	+	5.62826i	0.623963	+	0.400997i	−0.190107	+	0.981763i	$0.560883\pi$
$198$	−0.0259491	+	0.180480i	−0.00184412	+	0.0128262i
$199$	2.40466	+	0.706073i	0.170462	+	0.0500522i	0.365850	−	0.930674i	$-0.380778\pi$
$199$	2.40466	+	0.706073i	0.170462	+	0.0500522i	−0.195388	+	0.980726i	$0.562597\pi$
$200$	−1.00000			−0.0707107
$201$	−1.96659	−	12.6017i	−0.138713	−	0.888853i
$202$	−15.2781			−1.07496
$203$	17.1599	+	5.03861i	1.20439	+	0.353641i
$204$	−0.714941	+	4.97253i	−0.0500559	+	0.348146i
$205$	−4.03727	−	2.59459i	−0.281975	−	0.181214i
$206$	5.90915	+	12.9392i	0.411710	+	0.901520i
$207$	0.906281	−	1.98448i	0.0629909	−	0.137931i
$208$	−3.59724	−	1.05624i	−0.249423	−	0.0732373i
$209$	−0.245896	−	0.283779i	−0.0170090	−	0.0196294i
$210$	5.28582	+	1.55206i	0.364756	+	0.107102i
$211$	0.0516721	+	0.359388i	0.00355726	+	0.0247413i	0.991523	−	0.129933i	$-0.0414763\pi$
$211$	0.0516721	+	0.359388i	0.00355726	+	0.0247413i	−0.987966	+	0.154674i	$0.950567\pi$
$212$	−4.92305	−	10.7800i	−0.338116	−	0.740372i
$213$	−9.98601	+	11.5245i	−0.684230	+	0.789644i
$214$	−4.80677	+	5.54731i	−0.328584	+	0.379206i
$215$	1.89838	+	1.22002i	0.129469	+	0.0832044i
$216$	5.34049	−	1.56811i	0.363374	−	0.106696i
$217$	−13.0567	−	28.5903i	−0.886350	−	1.94084i
$218$	−10.0535	+	6.46098i	−0.680908	+	0.437593i
$219$	1.74188	+	1.11944i	0.117705	+	0.0756446i
$220$	−0.305804	+	0.0897921i	−0.0206173	+	0.00605378i
$221$	1.72021	−	11.9643i	0.115714	−	0.804808i
$222$	4.43395	−	9.70899i	0.297587	−	0.651625i
$223$	2.88900	+	20.0934i	0.193462	+	1.34555i	0.822759	+	0.568390i	$0.192434\pi$
$223$	2.88900	+	20.0934i	0.193462	+	1.34555i	−0.629297	+	0.777165i	$0.716657\pi$
$224$	−0.503159	+	3.49955i	−0.0336187	+	0.233823i
$225$	−0.481280	+	0.309300i	−0.0320854	+	0.0206200i
$226$	2.24466	−	2.59048i	0.149313	−	0.172316i
$227$	14.5767	−	9.36785i	0.967487	−	0.621766i	0.0414263	−	0.999142i	$-0.486810\pi$
$227$	14.5767	−	9.36785i	0.967487	−	0.621766i	0.926060	+	0.377376i	$0.123173\pi$
$228$	−0.762604	+	1.66987i	−0.0505047	+	0.110590i
$229$	3.17537	+	3.66458i	0.209835	+	0.242162i	0.850904	−	0.525320i	$-0.176055\pi$
$229$	3.17537	+	3.66458i	0.209835	+	0.242162i	−0.641070	+	0.767483i	$0.721509\pi$
$230$	3.81337			0.251446
$231$	1.75579			0.115522
$232$	3.31259	+	3.82294i	0.217482	+	0.250988i
$233$	−2.54406	−	17.6943i	−0.166667	−	1.15919i	−0.885714	−	0.464232i	$-0.846331\pi$
$233$	−2.54406	−	17.6943i	−0.166667	−	1.15919i	0.719047	−	0.694961i	$-0.244579\pi$
$234$	−2.05798	+	0.604276i	−0.134534	+	0.0395028i
$235$	1.91209	−	0.561440i	0.124731	−	0.0366243i
$236$	−0.592741	−	4.12260i	−0.0385841	−	0.268358i
$237$	7.55381	+	8.71756i	0.490673	+	0.566267i
$238$	−11.3988			−0.738875
$239$	3.97447			0.257087			0.128543	−	0.991704i	$-0.458970\pi$
$239$	3.97447			0.257087			0.128543	+	0.991704i	$0.458970\pi$
$240$	1.02039	+	1.17759i	0.0658656	+	0.0760130i
$241$	−3.07485	+	6.73298i	−0.198068	+	0.433709i	−0.982439	−	0.186583i	$-0.940259\pi$
$241$	−3.07485	+	6.73298i	−0.198068	+	0.433709i	0.784371	+	0.620292i	$0.212986\pi$
$242$	9.16834	−	5.89213i	0.589363	−	0.378761i
$243$	3.83654	−	4.42760i	0.246114	−	0.284031i
$244$	2.02091	−	1.29876i	0.129375	−	0.0831445i
$245$	−0.782731	+	5.44401i	−0.0500069	+	0.347805i
$246$	1.06421	+	7.40173i	0.0678514	+	0.471917i
$247$	1.83489	−	4.01785i	0.116751	−	0.255650i
$248$	1.26517	−	8.79943i	0.0803382	−	0.558765i
$249$	20.6137	−	6.05273i	1.30634	−	0.383576i
$250$	−0.841254	−	0.540641i	−0.0532055	−	0.0341931i
$251$	16.8822	−	10.8495i	1.06560	−	0.684817i	0.114409	−	0.993434i	$-0.463503\pi$
$251$	16.8822	−	10.8495i	1.06560	−	0.684817i	0.951186	+	0.308617i	$0.0998662\pi$
$252$	0.840250	+	1.83989i	0.0529308	+	0.115902i
$253$	1.16614	−	0.342411i	0.0733149	−	0.0215272i
$254$	−1.37794	−	0.885550i	−0.0864598	−	0.0555643i
$255$	−3.28980	+	3.79663i	−0.206015	+	0.237754i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	−2.18320	−	4.78054i	−0.136184	−	0.298202i	0.829237	−	0.558897i	$-0.188775\pi$
$257$	−2.18320	−	4.78054i	−0.136184	−	0.298202i	−0.965421	+	0.260696i	$0.916048\pi$
$258$	−0.500406	−	3.48040i	−0.0311539	−	0.216680i
$259$	23.2375	+	6.82315i	1.44391	+	0.423970i
$260$	−2.45514	−	2.83338i	−0.152261	−	0.175719i
$261$	2.77672	+	0.815319i	0.171875	+	0.0504670i
$262$	0.655584	−	1.43553i	0.0405021	−	0.0886873i
$263$	2.82770	+	6.19179i	0.174363	+	0.381802i	0.976556	−	0.215263i	$-0.0690607\pi$
$263$	2.82770	+	6.19179i	0.174363	+	0.381802i	−0.802193	+	0.597065i	$0.796333\pi$
$264$	0.417776	+	0.268488i	0.0257123	+	0.0165243i
$265$	1.68656	−	11.7303i	0.103605	−	0.720586i
$266$	−3.99667	−	1.17353i	−0.245051	−	0.0719536i
$267$	−27.0729			−1.65684
$268$	7.88092	+	2.21159i	0.481404	+	0.135095i
$269$	−25.2591			−1.54007			−0.770036	−	0.638001i	$-0.779762\pi$
$269$	−25.2591			−1.54007			−0.770036	+	0.638001i	$0.779762\pi$
$270$	5.34049	+	1.56811i	0.325012	+	0.0954320i
$271$	2.70007	−	18.7794i	0.164017	−	1.14077i	−0.726947	−	0.686693i	$-0.759062\pi$
$271$	2.70007	−	18.7794i	0.164017	−	1.14077i	0.890965	−	0.454073i	$-0.150029\pi$
$272$	−2.71226	−	1.74306i	−0.164455	−	0.105689i
$273$	8.57985	+	18.7872i	0.519276	+	1.13706i
$274$	−1.20044	+	2.62861i	−0.0725215	+	0.158800i
$275$	−0.305804	−	0.0897921i	−0.0184407	−	0.00541467i
$276$	−3.89111	−	4.49058i	−0.234218	−	0.270301i
$277$	−3.16641	−	0.929743i	−0.190251	−	0.0558628i	0.185219	−	0.982697i	$-0.440701\pi$
$277$	−3.16641	−	0.929743i	−0.190251	−	0.0558628i	−0.375470	+	0.926834i	$0.622519\pi$
$278$	2.88596	+	20.0723i	0.173088	+	1.20386i
$279$	−2.11277	−	4.62631i	−0.126488	−	0.276970i
$280$	−2.31528	+	2.67198i	−0.138365	+	0.159681i
$281$	5.57221	−	6.43068i	0.332410	−	0.383622i	−0.564798	−	0.825229i	$-0.691046\pi$
$281$	5.57221	−	6.43068i	0.332410	−	0.383622i	0.897209	+	0.441607i	$0.145591\pi$
$282$	−2.61222	−	1.67877i	−0.155555	−	0.0999692i
$283$	−6.80121	+	1.99702i	−0.404290	+	0.118710i	−0.477554	−	0.878602i	$-0.658477\pi$
$283$	−6.80121	+	1.99702i	−0.404290	+	0.118710i	0.0732642	+	0.997313i	$0.476658\pi$
$284$	−4.06546	−	8.90212i	−0.241241	−	0.528243i
$285$	−1.54434	+	0.992489i	−0.0914790	+	0.0587900i
$286$	−1.00521	−	0.646006i	−0.0594391	−	0.0381992i
$287$	−16.2801	+	4.78027i	−0.960985	+	0.282171i
$288$	−0.0814182	+	0.566276i	−0.00479761	+	0.0333681i
$289$	−2.74397	+	6.00845i	−0.161410	+	0.353438i
$290$	0.719895	+	5.00698i	0.0422737	+	0.294020i
$291$	−2.71120	+	18.8568i	−0.158934	+	1.10541i
$292$	−1.11790	+	0.718430i	−0.0654201	+	0.0420429i
$293$	−2.92371	+	3.37414i	−0.170805	+	0.197119i	−0.834698	−	0.550708i	$-0.814358\pi$
$293$	−2.92371	+	3.37414i	−0.170805	+	0.197119i	0.663893	+	0.747828i	$0.268903\pi$
$294$	7.20949	−	4.63326i	0.420466	−	0.270217i
$295$	1.73020	−	3.78861i	0.100736	−	0.220582i
$296$	4.48582	+	5.17691i	0.260733	+	0.300902i
$297$	1.77394			0.102935
$298$	−5.48645			−0.317821
$299$	9.36236	+	10.8047i	0.541439	+	0.624854i
$300$	0.221751	+	1.54231i	0.0128028	+	0.0890454i
$301$	7.65514	−	2.24775i	0.441235	−	0.129558i
$302$	10.8950	−	3.19905i	0.626935	−	0.184085i
$303$	3.38793	+	23.5635i	0.194631	+	1.35369i
$304$	−0.771525	−	0.890388i	−0.0442500	−	0.0510672i
$305$	2.40226			0.137553
$306$	−1.84449			−0.105442
$307$	16.4506	+	18.9850i	0.938886	+	1.08353i	0.996365	+	0.0851850i	$0.0271481\pi$
$307$	16.4506	+	18.9850i	0.938886	+	1.08353i	−0.0574796	+	0.998347i	$0.518306\pi$
$308$	−0.468099	+	1.02499i	−0.0266724	+	0.0584045i
$309$	18.6460	−	11.9830i	1.06073	−	0.681692i
$310$	5.82166	−	6.71855i	0.330648	−	0.381588i
$311$	0.211824	−	0.136131i	0.0120114	−	0.00771928i	−0.534621	−	0.845092i	$-0.679546\pi$
$311$	0.211824	−	0.136131i	0.0120114	−	0.00771928i	0.546633	+	0.837372i	$0.315909\pi$
$312$	−0.831367	+	5.78228i	−0.0470669	+	0.327357i
$313$	0.683821	+	4.75608i	0.0386519	+	0.268830i	0.999978	−	0.00658170i	$-0.00209504\pi$
$313$	0.683821	+	4.75608i	0.0386519	+	0.268830i	−0.961326	+	0.275411i	$0.911186\pi$
$314$	−4.49235	+	9.83687i	−0.253518	+	0.555127i
$315$	−0.287857	+	2.00209i	−0.0162189	+	0.112805i
$316$	−7.10303	+	2.08564i	−0.399577	+	0.117326i
$317$	4.24274	+	2.72664i	0.238296	+	0.153144i	0.654339	−	0.756201i	$-0.272947\pi$
$317$	4.24274	+	2.72664i	0.238296	+	0.153144i	−0.416043	+	0.909345i	$0.636583\pi$
$318$	−15.5344	+	9.98335i	−0.871126	+	0.559838i
$319$	0.669734	+	1.46651i	0.0374979	+	0.0821090i
$320$	−0.959493	+	0.281733i	−0.0536373	+	0.0157493i
$321$	9.62159	+	6.18342i	0.537025	+	0.345125i
$322$	8.82904	−	10.1893i	0.492023	−	0.567825i
$323$	2.48745	−	2.87067i	0.138406	−	0.159729i
$324$	−2.88979	−	6.32777i	−0.160544	−	0.351543i
$325$	−0.533553	−	3.71094i	−0.0295962	−	0.205846i
$326$	3.91471	+	1.14946i	0.216816	+	0.0636628i
$327$	12.1942	+	14.0729i	0.674342	+	0.778232i
$328$	−4.60471	−	1.35207i	−0.254253	−	0.0746553i
$329$	2.92687	−	6.40896i	0.161364	−	0.353337i
$330$	0.206300	+	0.451733i	0.0113564	+	0.0248671i
$331$	18.5682	+	11.9331i	1.02060	+	0.655901i	0.940116	−	0.340855i	$-0.110717\pi$
$331$	18.5682	+	11.9331i	1.02060	+	0.655901i	0.0804856	+	0.996756i	$0.474353\pi$
$332$	−1.96222	+	13.6476i	−0.107691	+	0.749008i
$333$	3.76016	+	1.10408i	0.206055	+	0.0605033i
$334$	−15.1783			−0.830519
$335$	5.43417	+	6.12126i	0.296901	+	0.334440i
$336$	5.50897			0.300539
$337$	25.5352	+	7.49781i	1.39099	+	0.408432i	0.889581	−	0.456778i	$-0.150997\pi$
$337$	25.5352	+	7.49781i	1.39099	+	0.408432i	0.501410	+	0.865210i	$0.332815\pi$
$338$	0.150249	−	1.04500i	0.00817247	−	0.0568408i
$339$	−4.49308	−	2.88753i	−0.244031	−	0.156829i
$340$	−1.33933	−	2.93272i	−0.0726353	−	0.159049i
$341$	1.17701	−	2.57730i	0.0637388	−	0.139568i
$342$	−0.646717	−	0.189893i	−0.0349705	−	0.0102683i
$343$	−3.47293	−	4.00798i	−0.187521	−	0.216410i
$344$	2.16520	+	0.635761i	0.116740	+	0.0342779i
$345$	−0.845620	−	5.88141i	−0.0455266	−	0.316645i
$346$	6.23153	+	13.6452i	0.335009	+	0.733568i
$347$	−23.8250	+	27.4955i	−1.27899	+	1.47604i	−0.476746	+	0.879041i	$0.658184\pi$
$347$	−23.8250	+	27.4955i	−1.27899	+	1.47604i	−0.802246	+	0.596994i	$0.796362\pi$
$348$	5.16159	−	5.95679i	0.276690	−	0.319318i
$349$	−27.1118	−	17.4237i	−1.45126	−	0.932669i	−0.999172	−	0.0406956i	$-0.987043\pi$
$349$	−27.1118	−	17.4237i	−1.45126	−	0.932669i	−0.452089	−	0.891973i	$-0.649321\pi$
$350$	−3.39232	+	0.996075i	−0.181327	+	0.0532424i
$351$	8.66858	+	18.9816i	0.462695	+	1.01316i
$352$	−0.268119	+	0.172310i	−0.0142908	+	0.00918414i
$353$	7.67984	+	4.93553i	0.408756	+	0.262692i	0.728822	−	0.684704i	$-0.240068\pi$
$353$	7.67984	+	4.93553i	0.408756	+	0.262692i	−0.320065	+	0.947396i	$0.603705\pi$
$354$	−6.22690	+	1.82838i	−0.330956	+	0.0971774i
$355$	1.39276	−	9.68689i	0.0739203	−	0.514127i
$356$	7.21775	−	15.8047i	0.382540	−	0.837646i
$357$	2.52770	+	17.5805i	0.133780	+	0.930460i
$358$	0.508259	−	3.53502i	0.0268623	−	0.186831i
$359$	−6.05579	+	3.89182i	−0.319613	+	0.205403i	−0.690603	−	0.723234i	$-0.742655\pi$
$359$	−6.05579	+	3.89182i	−0.319613	+	0.205403i	0.370990	+	0.928637i	$0.379018\pi$
$360$	−0.374645	+	0.432364i	−0.0197455	+	0.0227876i
$361$	−14.8161	+	9.52174i	−0.779796	+	0.501144i
$362$	7.91860	−	17.3393i	0.416193	−	0.911334i
$363$	−11.1206	−	12.8339i	−0.583680	−	0.673602i
$364$	−13.2551			−0.694754
$365$	−1.32885			−0.0695551
$366$	−2.45123	−	2.82887i	−0.128128	−	0.147867i
$367$	0.626528	+	4.35760i	0.0327045	+	0.227465i	0.999618	−	0.0276399i	$-0.00879917\pi$
$367$	0.626528	+	4.35760i	0.0327045	+	0.227465i	−0.966913	+	0.255105i	$0.917890\pi$
$368$	3.65891	−	1.07435i	0.190734	−	0.0560045i
$369$	−2.63435	+	0.773516i	−0.137139	+	0.0402676i
$370$	0.974861	+	6.78031i	0.0506806	+	0.352492i
$371$	−27.4382	−	31.6654i	−1.42452	−	1.64399i
$372$	−13.8520			−0.718194
$373$	30.1327			1.56021			0.780105	−	0.625648i	$-0.215165\pi$
$373$	30.1327			1.56021			0.780105	+	0.625648i	$0.215165\pi$
$374$	−0.672906	−	0.776575i	−0.0347952	−	0.0401558i
$375$	−0.647288	+	1.41736i	−0.0334258	+	0.0731923i
$376$	1.67646	−	1.07740i	0.0864569	−	0.0555625i
$377$	−12.4192	+	14.3326i	−0.639624	+	0.738165i
$378$	16.5547	−	10.6390i	0.851481	−	0.547214i
$379$	0.631455	−	4.39186i	0.0324357	−	0.225595i	−0.967156	−	0.254185i	$-0.918193\pi$
$379$	0.631455	−	4.39186i	0.0324357	−	0.225595i	0.999591	+	0.0285903i	$0.00910181\pi$
$380$	−0.167668	−	1.16616i	−0.00860121	−	0.0598227i
$381$	−1.06023	+	2.32159i	−0.0543174	+	0.118939i
$382$	2.75874	−	19.1875i	0.141150	−	0.981716i
$383$	−2.97004	+	0.872084i	−0.151762	+	0.0445614i	−0.356731	−	0.934207i	$-0.616109\pi$
$383$	−2.97004	+	0.872084i	−0.151762	+	0.0445614i	0.204969	+	0.978768i	$0.434291\pi$
$384$	1.31082	+	0.842412i	0.0668924	+	0.0429891i
$385$	−0.947944	+	0.609207i	−0.0483117	+	0.0310481i
$386$	−3.20926	−	7.02729i	−0.163347	−	0.357680i
$387$	1.23871	−	0.363718i	0.0629672	−	0.0184888i
$388$	−10.2854	−	6.61006i	−0.522165	−	0.335575i
$389$	−2.90859	+	3.35670i	−0.147472	+	0.170191i	−0.824679	−	0.565601i	$-0.808644\pi$
$389$	−2.90859	+	3.35670i	−0.147472	+	0.170191i	0.677208	+	0.735792i	$0.263190\pi$
$390$	−3.82553	+	4.41490i	−0.193713	+	0.223557i
$391$	5.10736	+	11.1836i	0.258290	+	0.565577i
$392$	0.782731	+	5.44401i	0.0395339	+	0.274964i
$393$	−2.35941	−	0.692786i	−0.119017	−	0.0349464i
$394$	6.81733	+	7.86761i	0.343452	+	0.396365i
$395$	−7.10303	−	2.08564i	−0.357392	−	0.104940i
$396$	−0.0757451	+	0.165859i	−0.00380633	+	0.00833471i
$397$	3.02464	+	6.62303i	0.151802	+	0.332401i	0.970221	−	0.242222i	$-0.0778762\pi$
$397$	3.02464	+	6.62303i	0.151802	+	0.332401i	−0.818419	+	0.574622i	$0.805149\pi$
$398$	2.10833	+	1.35494i	0.105681	+	0.0679172i
$399$	−0.923681	+	6.42434i	−0.0462419	+	0.321619i
$400$	−0.959493	−	0.281733i	−0.0479746	−	0.0140866i
$401$	11.6014			0.579348			0.289674	−	0.957125i	$-0.406453\pi$
$401$	11.6014			0.579348			0.289674	+	0.957125i	$0.406453\pi$
$402$	1.66337	−	12.6453i	0.0829611	−	0.630688i
$403$	33.3292			1.66025
$404$	−14.6592	−	4.30433i	−0.729322	−	0.214148i
$405$	0.990000	−	6.88560i	0.0491935	−	0.342148i
$406$	15.0453	+	9.66903i	0.746686	+	0.479866i
$407$	0.906934	+	1.98591i	0.0449551	+	0.0984379i
$408$	−2.08690	+	4.56968i	−0.103317	+	0.226233i
$409$	−2.12128	−	0.622863i	−0.104890	−	0.0307986i	0.228866	−	0.973458i	$-0.426498\pi$
$409$	−2.12128	−	0.622863i	−0.104890	−	0.0307986i	−0.333757	+	0.942659i	$0.608316\pi$
$410$	−3.14275	−	3.62692i	−0.155209	−	0.179121i
$411$	4.32033	+	1.26856i	0.213106	+	0.0625736i
$412$	2.02439	+	14.0799i	0.0997343	+	0.693667i
$413$	−6.11718	−	13.3948i	−0.301007	−	0.659113i
$414$	1.42866	−	1.64876i	0.0702150	−	0.0810324i
$415$	−9.02916	+	10.4202i	−0.443224	+	0.511508i
$416$	−3.15394	−	2.02692i	−0.154635	−	0.0993778i
$417$	30.3178	−	8.90211i	1.48467	−	0.435938i
$418$	−0.155986	−	0.341561i	−0.00762950	−	0.0167063i
$419$	−18.3778	+	11.8107i	−0.897817	+	0.576992i	−0.906142	−	0.422974i	$-0.860986\pi$
$419$	−18.3778	+	11.8107i	−0.897817	+	0.576992i	0.00832531	+	0.999965i	$0.497350\pi$
$420$	4.63444	+	2.97837i	0.226138	+	0.145330i
$421$	30.9244	−	9.08021i	1.50716	−	0.442542i	0.579189	−	0.815193i	$-0.303369\pi$
$421$	30.9244	−	9.08021i	1.50716	−	0.442542i	0.927972	+	0.372651i	$0.121551\pi$
$422$	−0.0516721	+	0.359388i	−0.00251536	+	0.0174947i
$423$	0.473609	−	1.03706i	0.0230277	−	0.0504236i
$424$	−1.68656	−	11.7303i	−0.0819067	−	0.569673i
$425$	0.458833	−	3.19126i	0.0222567	−	0.154799i
$426$	−12.8283	+	8.24426i	−0.621534	+	0.399436i
$427$	5.56191	−	6.41878i	0.269160	−	0.310627i
$428$	−6.17492	+	3.96838i	−0.298476	+	0.191819i
$429$	−0.773438	+	1.69359i	−0.0373420	+	0.0817675i
$430$	1.47777	+	1.70543i	0.0712642	+	0.0822433i
$431$	−31.9687			−1.53988			−0.769938	−	0.638119i	$-0.779713\pi$
$431$	−31.9687			−1.53988			−0.769938	+	0.638119i	$0.779713\pi$
$432$	5.56595			0.267792
$433$	7.68146	+	8.86488i	0.369147	+	0.426019i	0.909684	−	0.415302i	$-0.136324\pi$
$433$	7.68146	+	8.86488i	0.369147	+	0.426019i	−0.540536	+	0.841321i	$0.681779\pi$
$434$	−4.47304	−	31.1107i	−0.214713	−	1.49336i
$435$	7.56269	−	2.22061i	0.362603	−	0.106470i
$436$	−11.4665	+	3.36687i	−0.549147	+	0.161244i
$437$	0.639383	+	4.44700i	0.0305858	+	0.212729i
$438$	1.35594	+	1.56484i	0.0647893	+	0.0747708i
$439$	4.34509			0.207380			0.103690	−	0.994610i	$-0.466935\pi$
$439$	4.34509			0.207380			0.103690	+	0.994610i	$0.466935\pi$
$440$	−0.318714			−0.0151941
$441$	2.06055	+	2.37800i	0.0981213	+	0.113238i
$442$	5.02127	−	10.9951i	0.238838	−	0.522982i
$443$	26.5887	−	17.0875i	1.26327	−	0.811853i	0.274541	−	0.961576i	$-0.411474\pi$
$443$	26.5887	−	17.0875i	1.26327	−	0.811853i	0.988728	+	0.149722i	$0.0478379\pi$
$444$	6.98968	−	8.06652i	0.331715	−	0.382820i
$445$	14.6166	−	9.39353i	0.692894	−	0.445296i
$446$	−2.88900	+	20.0934i	−0.136798	+	0.951451i
$447$	1.21663	+	8.46181i	0.0575444	+	0.400230i
$448$	−1.46871	+	3.21603i	−0.0693902	+	0.151943i
$449$	4.38805	−	30.5195i	0.207085	−	1.44031i	−0.575520	−	0.817788i	$-0.695200\pi$
$449$	4.38805	−	30.5195i	0.207085	−	1.44031i	0.782605	−	0.622519i	$-0.213891\pi$
$450$	−0.548925	+	0.161179i	−0.0258766	+	0.00759805i
$451$	−1.28673	−	0.826933i	−0.0605899	−	0.0389388i
$452$	2.88356	−	1.85315i	0.135631	−	0.0871649i
$453$	−7.34991	−	16.0941i	−0.345329	−	0.756165i
$454$	16.6254	−	4.88167i	0.780270	−	0.229108i
$455$	−11.1509	−	7.16623i	−0.522761	−	0.335958i
$456$	−1.20217	+	1.38738i	−0.0562967	+	0.0649699i
$457$	12.5787	−	14.5166i	0.588406	−	0.679057i	−0.380984	−	0.924582i	$-0.624415\pi$
$457$	12.5787	−	14.5166i	0.588406	−	0.679057i	0.969390	+	0.245524i	$0.0789601\pi$
$458$	2.01432	+	4.41074i	0.0941229	+	0.206101i
$459$	2.55384	+	17.7624i	0.119203	+	0.829076i
$460$	3.65891	+	1.07435i	0.170597	+	0.0500919i
$461$	5.43942	+	6.27743i	0.253339	+	0.292369i	0.868146	−	0.496309i	$-0.165312\pi$
$461$	5.43942	+	6.27743i	0.253339	+	0.292369i	−0.614807	+	0.788678i	$0.710766\pi$
$462$	1.68466	+	0.494662i	0.0783776	+	0.0230138i
$463$	−7.27353	+	15.9268i	−0.338030	+	0.740182i	−0.999956	−	0.00938702i	$-0.997012\pi$
$463$	−7.27353	+	15.9268i	−0.338030	+	0.740182i	0.661926	+	0.749569i	$0.269739\pi$
$464$	2.10136	+	4.60135i	0.0975534	+	0.213612i
$465$	−11.6531	−	7.48897i	−0.540398	−	0.347293i
$466$	2.54406	−	17.6943i	0.117851	−	0.819673i
$467$	13.2748	+	3.89782i	0.614283	+	0.180370i	0.574049	−	0.818821i	$-0.305372\pi$
$467$	13.2748	+	3.89782i	0.614283	+	0.180370i	0.0402333	+	0.999190i	$0.487190\pi$
$468$	−2.14486			−0.0991461
$469$	28.9375	−	0.347555i	1.33621	−	0.0160486i
$470$	1.99281			0.0919216
$471$	16.1677	+	4.74727i	0.744969	+	0.218743i
$472$	0.592741	−	4.12260i	0.0272831	−	0.189758i
$473$	0.605041	+	0.388836i	0.0278198	+	0.0178787i
$474$	4.79181	+	10.4926i	0.220095	+	0.481941i
$475$	0.489422	−	1.07168i	0.0224562	−	0.0491723i
$476$	−10.9371	−	3.21142i	−0.501300	−	0.147195i
$477$	−4.43989	−	5.12391i	−0.203289	−	0.234608i
$478$	3.81347	+	1.11974i	0.174424	+	0.0512156i
$479$	−1.20304	−	8.36731i	−0.0549682	−	0.382312i	−0.998672	−	0.0515203i	$-0.983593\pi$
$479$	−1.20304	−	8.36731i	−0.0549682	−	0.382312i	0.943704	−	0.330792i	$-0.107316\pi$
$480$	0.647288	+	1.41736i	0.0295445	+	0.0646935i
$481$	−16.8178	+	19.4088i	−0.766825	+	0.884963i
$482$	−4.84719	+	5.59396i	−0.220784	+	0.254798i
$483$	−17.6729	−	11.3577i	−0.804143	−	0.516791i
$484$	10.4570	−	3.07044i	0.475316	−	0.139565i
$485$	−5.07900	−	11.1215i	−0.230626	−	0.505000i
$486$	4.92853	−	3.16738i	0.223563	−	0.143675i
$487$	20.7538	+	13.3376i	0.940443	+	0.604386i	0.918520	−	0.395374i	$-0.129385\pi$
$487$	20.7538	+	13.3376i	0.940443	+	0.604386i	0.0219224	+	0.999760i	$0.493021\pi$
$488$	2.30495	−	0.676795i	0.104340	−	0.0306370i
$489$	0.904739	−	6.29260i	0.0409137	−	0.284561i
$490$	−2.28478	+	5.00297i	−0.103216	+	0.226011i
$491$	−5.02577	−	34.9550i	−0.226810	−	1.57750i	−0.711420	−	0.702767i	$-0.751948\pi$
$491$	−5.02577	−	34.9550i	−0.226810	−	1.57750i	0.484611	−	0.874730i	$-0.338961\pi$
$492$	−1.06421	+	7.40173i	−0.0479782	+	0.333696i
$493$	−13.7199	+	8.81724i	−0.617913	+	0.397109i
$494$	2.89253	−	3.33815i	0.130141	−	0.150191i
$495$	−0.153391	+	0.0985783i	−0.00689440	+	0.00443076i
$496$	3.69301	−	8.08656i	0.165821	−	0.363097i
$497$	−22.6585	−	26.1493i	−1.01637	−	1.17296i
$498$	21.4839			0.962719
$499$	−22.6867			−1.01560			−0.507799	−	0.861476i	$-0.669541\pi$
$499$	−22.6867			−1.01560			−0.507799	+	0.861476i	$0.669541\pi$
$500$	−0.654861	−	0.755750i	−0.0292863	−	0.0337981i
$501$	3.36580	+	23.4097i	0.150373	+	1.04587i
$502$	19.2550	−	5.65379i	0.859394	−	0.252341i
$503$	1.56030	−	0.458146i	0.0695705	−	0.0204277i	−0.246762	−	0.969076i	$-0.579367\pi$
$503$	1.56030	−	0.458146i	0.0695705	−	0.0204277i	0.316333	+	0.948648i	$0.397548\pi$
$504$	0.287857	+	2.00209i	0.0128222	+	0.0891801i
$505$	−10.0050	−	11.5464i	−0.445217	−	0.513807i
$506$	1.21538			0.0540300
$507$	−1.64504			−0.0730589
$508$	−1.07264	−	1.23789i	−0.0475906	−	0.0549225i
$509$	2.99117	−	6.54974i	0.132581	−	0.290312i	−0.831685	−	0.555248i	$-0.812623\pi$
$509$	2.99117	−	6.54974i	0.132581	−	0.290312i	0.964266	+	0.264936i	$0.0853507\pi$
$510$	−4.22617	+	2.71600i	−0.187138	+	0.120266i
$511$	−3.07666	+	3.55066i	−0.136103	+	0.157072i
$512$	−0.841254	+	0.540641i	−0.0371785	+	0.0238932i
$513$	−0.933234	+	6.49078i	−0.0412033	+	0.286575i
$514$	−0.747930	−	5.20197i	−0.0329898	−	0.229449i
$515$	−5.90915	+	12.9392i	−0.260388	+	0.570171i
$516$	0.500406	−	3.48040i	0.0220291	−	0.153216i
$517$	0.609410	−	0.178939i	0.0268018	−	0.00786972i
$518$	20.3739	+	13.0935i	0.895179	+	0.575296i
$519$	19.6632	−	12.6368i	0.863120	−	0.554694i
$520$	−1.55743	−	3.41030i	−0.0682979	−	0.149552i
$521$	−11.7618	+	3.45357i	−0.515292	+	0.151303i	−0.529032	−	0.848602i	$-0.677445\pi$
$521$	−11.7618	+	3.45357i	−0.515292	+	0.151303i	0.0137392	+	0.999906i	$0.495627\pi$
$522$	2.43454	+	1.56459i	0.106557	+	0.0684801i
$523$	21.4879	−	24.7984i	0.939601	−	1.08436i	−0.0566971	−	0.998391i	$-0.518057\pi$
$523$	21.4879	−	24.7984i	0.939601	−	1.08436i	0.996298	−	0.0859659i	$-0.0273976\pi$
$524$	1.03346	−	1.19268i	0.0451471	−	0.0521025i
$525$	2.28851	+	5.01114i	0.0998787	+	0.218704i
$526$	0.968726	+	6.73764i	0.0422385	+	0.293775i
$527$	27.5007	+	8.07495i	1.19795	+	0.351750i
$528$	0.325211	+	0.375314i	0.0141530	+	0.0163334i
$529$	8.11556	+	2.38294i	0.352850	+	0.103606i
$530$	4.92305	−	10.7800i	0.213844	−	0.468252i
$531$	−0.989847	−	2.16746i	−0.0429557	−	0.0940598i
$532$	−3.50415	−	2.25198i	−0.151924	−	0.0976358i
$533$	2.56058	−	17.8092i	0.110911	−	0.771402i
$534$	−25.9763	−	7.62733i	−1.12410	−	0.330067i
$535$	−7.34014			−0.317342
$536$	6.93861	+	4.34232i	0.299702	+	0.187560i
$537$	−5.56481			−0.240139
$538$	−24.2359	−	7.11630i	−1.04488	−	0.306805i
$539$	−0.249467	+	1.73508i	−0.0107453	+	0.0747353i
$540$	4.68237	+	3.00918i	0.201497	+	0.129494i
$541$	13.4289	+	29.4051i	0.577352	+	1.26422i	0.942789	+	0.333389i	$0.108192\pi$
$541$	13.4289	+	29.4051i	0.577352	+	1.26422i	−0.365437	+	0.930836i	$0.619081\pi$
$542$	7.88146	−	17.2580i	0.338538	−	0.741294i
$543$	−28.4986	−	8.36795i	−1.22299	−	0.359103i
$544$	−2.11132	−	2.43659i	−0.0905220	−	0.104468i
$545$	−11.4665	−	3.36687i	−0.491172	−	0.144221i
$546$	2.93933	+	20.4435i	0.125791	+	0.874899i
$547$	−17.5245	−	38.3734i	−0.749296	−	1.64073i	−0.767627	−	0.640897i	$-0.778563\pi$
$547$	−17.5245	−	38.3734i	−0.749296	−	1.64073i	0.0183317	−	0.999832i	$-0.494165\pi$
$548$	−1.89238	+	2.18393i	−0.0808385	+	0.0932927i
$549$	0.899995	−	1.03865i	0.0384109	−	0.0443285i
$550$	−0.268119	−	0.172310i	−0.0114326	−	0.00734731i
$551$	−5.71824	+	1.67903i	−0.243605	+	0.0715289i
$552$	−2.46835	−	5.40494i	−0.105060	−	0.230049i
$553$	−22.0183	+	14.1503i	−0.936313	+	0.601732i
$554$	−2.77621	−	1.78416i	−0.117950	−	0.0758018i
$555$	10.2412	−	3.00708i	0.434714	−	0.127644i
$556$	−2.88596	+	20.0723i	−0.122392	+	0.851255i
$557$	−12.5244	+	27.4246i	−0.530676	+	1.16202i	0.434561	+	0.900642i	$0.356904\pi$
$557$	−12.5244	+	27.4246i	−0.530676	+	1.16202i	−0.965237	+	0.261376i	$0.915824\pi$
$558$	−0.723801	−	5.03415i	−0.0306410	−	0.213113i
$559$	−1.20402	+	8.37415i	−0.0509246	+	0.354189i
$560$	−2.97428	+	1.91145i	−0.125686	+	0.0807737i
$561$	−1.04850	+	1.21004i	−0.0442679	+	0.0510879i
$562$	7.15823	−	4.60032i	0.301952	−	0.194053i
$563$	−3.44332	+	7.53982i	−0.145119	+	0.317765i	−0.968208	−	0.250146i	$-0.919521\pi$
$563$	−3.44332	+	7.53982i	−0.145119	+	0.317765i	0.823089	+	0.567912i	$0.192249\pi$
$564$	−2.03344	−	2.34671i	−0.0856232	−	0.0988145i
$565$	3.42769			0.144204
$566$	−7.08834			−0.297945
$567$	−16.1060	−	18.5874i	−0.676390	−	0.780596i
$568$	−1.39276	−	9.68689i	−0.0584391	−	0.406453i
$569$	−22.1537	+	6.50492i	−0.928733	+	0.272700i	−0.710906	−	0.703287i	$-0.751715\pi$
$569$	−22.1537	+	6.50492i	−0.928733	+	0.272700i	−0.217827	+	0.975988i	$0.569897\pi$
$570$	−1.76140	+	0.517194i	−0.0737770	+	0.0216629i
$571$	4.33751	+	30.1681i	0.181519	+	1.26249i	0.853172	+	0.521629i	$0.174675\pi$
$571$	4.33751	+	30.1681i	0.181519	+	1.26249i	−0.671653	+	0.740866i	$0.734415\pi$
$572$	−0.782487	−	0.903038i	−0.0327174	−	0.0377579i
$573$	−30.2048			−1.26182
$574$	−16.9674			−0.708206
$575$	2.49723	+	2.88196i	0.104142	+	0.120186i
$576$	−0.237659	+	0.520400i	−0.00990244	+	0.0216833i
$577$	−36.5774	+	23.5068i	−1.52274	+	0.978603i	−0.531418	+	0.847110i	$0.678341\pi$
$577$	−36.5774	+	23.5068i	−1.52274	+	0.978603i	−0.991317	+	0.131493i	$0.958023\pi$
$578$	−4.32559	+	4.99200i	−0.179921	+	0.207640i
$579$	−10.1266	+	6.50799i	−0.420848	+	0.270463i
$580$	−0.719895	+	5.00698i	−0.0298920	+	0.207904i
$581$	6.93751	+	48.2515i	0.287816	+	2.00181i
$582$	−7.91396	+	17.3292i	−0.328044	+	0.718317i
$583$	0.537531	−	3.73861i	0.0222622	−	0.154837i
$584$	−1.27502	+	0.374380i	−0.0527608	+	0.0154920i
$585$	−1.80437	−	1.15960i	−0.0746015	−	0.0479435i
$586$	−3.75588	+	2.41376i	−0.155154	+	0.0997114i
$587$	7.64487	+	16.7399i	0.315538	+	0.690931i	0.999246	−	0.0388242i	$-0.0123612\pi$
$587$	7.64487	+	16.7399i	0.315538	+	0.690931i	−0.683708	+	0.729755i	$0.739634\pi$
$588$	8.22280	−	2.41443i	0.339102	−	0.0995695i
$589$	8.81102	+	5.66250i	0.363052	+	0.233319i
$590$	2.72749	−	3.14769i	0.112289	−	0.129588i
$591$	10.6226	−	12.2591i	0.436954	−	0.504272i
$592$	2.84561	+	6.23101i	0.116954	+	0.256093i
$593$	−6.82487	−	47.4680i	−0.280264	−	1.94928i	−0.312833	−	0.949808i	$-0.601278\pi$
$593$	−6.82487	−	47.4680i	−0.280264	−	1.94928i	0.0325687	−	0.999469i	$-0.489631\pi$
$594$	1.70209	+	0.499778i	0.0698375	+	0.0205061i
$595$	−7.46464	−	8.61465i	−0.306020	−	0.353166i
$596$	−5.26421	−	1.54571i	−0.215630	−	0.0633148i
$597$	1.62222	−	3.55217i	0.0663931	−	0.145381i
$598$	5.93907	+	13.0048i	0.242867	+	0.531804i
$599$	−21.6265	−	13.8985i	−0.883636	−	0.567879i	0.0182589	−	0.999833i	$-0.494188\pi$
$599$	−21.6265	−	13.8985i	−0.883636	−	0.567879i	−0.901895	+	0.431955i	$0.857824\pi$
$600$	−0.221751	+	1.54231i	−0.00905295	+	0.0629646i
$601$	−16.8433	−	4.94563i	−0.687051	−	0.201736i	−0.0804688	−	0.996757i	$-0.525642\pi$
$601$	−16.8433	−	4.94563i	−0.687051	−	0.201736i	−0.606582	+	0.795021i	$0.707460\pi$
$602$	7.97832			0.325172
$603$	4.68250	−	0.0562393i	0.190686	−	0.00229024i
$604$	11.3549			0.462025
$605$	10.4570	+	3.07044i	0.425136	+	0.124831i
$606$	−3.38793	+	23.5635i	−0.137625	+	0.957203i
$607$	−9.56031	−	6.14404i	−0.388041	−	0.249379i	0.332045	−	0.943264i	$-0.392261\pi$
$607$	−9.56031	−	6.14404i	−0.388041	−	0.249379i	−0.720086	+	0.693885i	$0.755898\pi$
$608$	−0.489422	−	1.07168i	−0.0198487	−	0.0434626i
$609$	11.5764	−	25.3487i	0.469097	−	1.02718i
$610$	2.30495	+	0.676795i	0.0933247	+	0.0274026i
$611$	4.89263	+	5.64640i	0.197935	+	0.228429i
$612$	−1.76977	−	0.519653i	−0.0715389	−	0.0210057i
$613$	2.32460	+	16.1679i	0.0938895	+	0.653016i	0.981364	+	0.192159i	$0.0615489\pi$
$613$	2.32460	+	16.1679i	0.0938895	+	0.653016i	−0.887474	+	0.460857i	$0.847542\pi$
$614$	10.4355	+	22.8507i	0.421144	+	0.922177i
$615$	−4.89694	+	5.65137i	−0.197464	+	0.227885i
$616$	−0.737913	+	0.851596i	−0.0297313	+	0.0343118i
$617$	12.0732	+	7.75898i	0.486049	+	0.312365i	0.760615	−	0.649204i	$-0.224898\pi$
$617$	12.0732	+	7.75898i	0.486049	+	0.312365i	−0.274565	+	0.961568i	$0.588534\pi$
$618$	21.2667	−	6.24447i	0.855473	−	0.251189i
$619$	3.03276	+	6.64081i	0.121897	+	0.266917i	0.960737	−	0.277461i	$-0.0894930\pi$
$619$	3.03276	+	6.64081i	0.121897	+	0.266917i	−0.838840	+	0.544378i	$0.816766\pi$
$620$	7.47868	−	4.80625i	0.300351	−	0.193024i
$621$	−17.8556	−	11.4751i	−0.716522	−	0.460481i
$622$	0.241596	−	0.0709390i	0.00968712	−	0.00284439i
$623$	8.74228	−	60.8039i	0.350252	−	2.43606i
$624$	−2.42675	+	5.31384i	−0.0971477	+	0.212724i
$625$	−0.142315	−	0.989821i	−0.00569259	−	0.0395929i
$626$	−0.683821	+	4.75608i	−0.0273310	+	0.190091i
$627$	−0.492203	+	0.316320i	−0.0196567	+	0.0126326i
$628$	−7.08175	+	8.17277i	−0.282592	+	0.326129i
$629$	−18.5791	+	11.9401i	−0.740797	+	0.476081i
$630$	−0.840250	+	1.83989i	−0.0334764	+	0.0733030i
$631$	3.86530	+	4.46080i	0.153875	+	0.177582i	0.827453	−	0.561535i	$-0.189789\pi$
$631$	3.86530	+	4.46080i	0.153875	+	0.177582i	−0.673578	+	0.739116i	$0.735243\pi$
$632$	−7.40290			−0.294471
$633$	0.565746			0.0224864
$634$	3.30270	+	3.81151i	0.131167	+	0.151375i
$635$	−0.233106	−	1.62129i	−0.00925055	−	0.0643390i
$636$	−17.7178	+	5.20241i	−0.702556	+	0.206289i
$637$	−19.7848	+	5.80933i	−0.783901	+	0.230174i
$638$	0.229441	+	1.59579i	0.00908364	+	0.0631781i
$639$	−3.66647	−	4.23133i	−0.145043	−	0.167389i
$640$	−1.00000			−0.0395285
$641$	−30.9460			−1.22229			−0.611147	−	0.791517i	$-0.709292\pi$
$641$	−30.9460			−1.22229			−0.611147	+	0.791517i	$0.709292\pi$
$642$	7.48978	+	8.64366i	0.295598	+	0.341138i
$643$	18.2493	−	39.9604i	0.719682	−	1.57588i	−0.0946680	−	0.995509i	$-0.530179\pi$
$643$	18.2493	−	39.9604i	0.719682	−	1.57588i	0.814350	−	0.580374i	$-0.197094\pi$
$644$	11.3420	−	7.28909i	0.446939	−	0.287230i
$645$	2.30261	−	2.65736i	0.0906653	−	0.104633i
$646$	3.19546	−	2.05360i	0.125724	−	0.0807976i
$647$	−3.63499	+	25.2819i	−0.142906	+	0.993935i	0.784567	+	0.620045i	$0.212886\pi$
$647$	−3.63499	+	25.2819i	−0.142906	+	0.993935i	−0.927473	+	0.373891i	$0.878024\pi$
$648$	−0.990000	−	6.88560i	−0.0388909	−	0.270492i
$649$	0.551439	−	1.20748i	0.0216459	−	0.0473979i
$650$	0.533553	−	3.71094i	0.0209277	−	0.145555i
$651$	−46.9905	+	13.7977i	−1.84170	+	0.540773i
$652$	3.43229	+	2.20580i	0.134419	+	0.0863859i
$653$	−35.0572	+	22.5299i	−1.37189	+	0.881662i	−0.998933	−	0.0461856i	$-0.985293\pi$
$653$	−35.0572	+	22.5299i	−1.37189	+	0.881662i	−0.372960	+	0.927848i	$0.621657\pi$
$654$	7.73548	+	16.9383i	0.302481	+	0.662342i
$655$	1.51422	−	0.444614i	0.0591654	−	0.0173725i
$656$	−4.03727	−	2.59459i	−0.157629	−	0.101302i
$657$	−0.497847	+	0.574546i	−0.0194229	+	0.0224152i
$658$	4.61393	−	5.32475i	0.179870	−	0.207581i
$659$	9.12839	+	19.9884i	0.355592	+	0.778637i	0.999904	+	0.0138745i	$0.00441653\pi$
$659$	9.12839	+	19.9884i	0.355592	+	0.778637i	−0.644312	+	0.764763i	$0.722856\pi$
$660$	0.0706751	+	0.491556i	0.00275103	+	0.0191338i
$661$	−19.0014	−	5.57932i	−0.739069	−	0.217010i	−0.109535	−	0.993983i	$-0.534936\pi$
$661$	−19.0014	−	5.57932i	−0.739069	−	0.217010i	−0.629534	+	0.776973i	$0.716754\pi$
$662$	14.4541	+	16.6810i	0.561776	+	0.648324i
$663$	−18.0713	−	5.30621i	−0.701831	−	0.206076i
$664$	−5.72771	+	12.5419i	−0.222278	+	0.486721i
$665$	−1.73037	−	3.78898i	−0.0671008	−	0.146930i
$666$	3.29679	+	2.11872i	0.127748	+	0.0820986i
$667$	2.74523	−	19.0935i	0.106296	−	0.739303i
$668$	−14.5635	−	4.27622i	−0.563477	−	0.165452i
$669$	31.6310			1.22292
$670$	3.48949	+	7.40429i	0.134811	+	0.286052i
$671$	0.765633			0.0295569
$672$	5.28582	+	1.55206i	0.203905	+	0.0598719i
$673$	4.68542	−	32.5878i	0.180610	−	1.25617i	−0.674716	−	0.738077i	$-0.735734\pi$
$673$	4.68542	−	32.5878i	0.180610	−	1.25617i	0.855326	−	0.518091i	$-0.173357\pi$
$674$	22.3885	+	14.3882i	0.862371	+	0.554212i
$675$	2.31218	+	5.06296i	0.0889958	+	0.194874i
$676$	0.438575	−	0.960345i	0.0168683	−	0.0369363i
$677$	10.1039	+	2.96677i	0.388324	+	0.114022i	0.470066	−	0.882631i	$-0.344230\pi$
$677$	10.1039	+	2.96677i	0.388324	+	0.114022i	−0.0817418	+	0.996654i	$0.526048\pi$
$678$	−3.49757	−	4.03641i	−0.134323	−	0.155017i
$679$	−41.4756	−	12.1783i	−1.59169	−	0.467362i
$680$	−0.458833	−	3.19126i	−0.0175955	−	0.122379i
$681$	−11.2158	−	24.5591i	−0.429789	−	0.941106i
$682$	1.85544	−	2.14130i	0.0710486	−	0.0819945i
$683$	11.8686	−	13.6970i	0.454137	−	0.524103i	−0.481794	−	0.876284i	$-0.660015\pi$
$683$	11.8686	−	13.6970i	0.454137	−	0.524103i	0.935932	+	0.352182i	$0.114560\pi$
$684$	−0.567022	−	0.364403i	−0.0216806	−	0.0139333i
$685$	−2.77269	+	0.814136i	−0.105939	+	0.0311065i
$686$	−2.20308	−	4.82406i	−0.0841139	−	0.184184i
$687$	6.35607	−	4.08480i	0.242499	−	0.155845i
$688$	1.89838	+	1.22002i	0.0723751	+	0.0465127i
$689$	42.6305	−	12.5175i	1.62409	−	0.476877i
$690$	0.845620	−	5.88141i	0.0321922	−	0.223902i
$691$	7.41919	−	16.2458i	0.282239	−	0.618018i	−0.714417	−	0.699720i	$-0.753308\pi$
$691$	7.41919	−	16.2458i	0.282239	−	0.618018i	0.996657	+	0.0817018i	$0.0260355\pi$
$692$	2.13483	+	14.8481i	0.0811540	+	0.564438i
$693$	−0.0917440	+	0.638093i	−0.00348506	+	0.0242392i
$694$	−30.6063	+	19.6695i	−1.16180	+	0.746642i
$695$	−13.2797	+	15.3256i	−0.503729	+	0.581334i
$696$	6.63073	−	4.26131i	0.251337	−	0.161525i
$697$	6.42758	−	14.0744i	0.243462	−	0.533107i
$698$	−21.1047	−	24.3562i	−0.798826	−	0.921895i
$699$	−27.8543			−1.05355
$700$	−3.53553			−0.133631
$701$	−20.3864	−	23.5272i	−0.769984	−	0.888609i	0.226359	−	0.974044i	$-0.427318\pi$
$701$	−20.3864	−	23.5272i	−0.769984	−	0.888609i	−0.996344	+	0.0854345i	$0.972772\pi$
$702$	2.96972	+	20.6549i	0.112085	+	0.779569i
$703$	−7.74347	+	2.27369i	−0.292051	+	0.0857538i
$704$	−0.305804	+	0.0897921i	−0.0115254	+	0.00338417i
$705$	−0.441908	−	3.07354i	−0.0166432	−	0.115756i
$706$	5.97825	+	6.89927i	0.224994	+	0.259657i
$707$	−54.0161			−2.03148
$708$	−6.48978			−0.243901
$709$	21.3243	+	24.6096i	0.800852	+	0.924233i	0.998428	−	0.0560547i	$-0.0178521\pi$
$709$	21.3243	+	24.6096i	0.800852	+	0.924233i	−0.197575	+	0.980288i	$0.563307\pi$
$710$	4.06546	−	8.90212i	0.152574	−	0.334091i
$711$	−3.56287	+	2.28972i	−0.133618	+	0.0858711i
$712$	11.3781	−	13.1310i	0.426411	−	0.492105i
$713$	−28.5190	+	18.3280i	−1.06804	+	0.686391i
$714$	−2.52770	+	17.5805i	−0.0945968	+	0.657935i
$715$	−0.170051	−	1.18273i	−0.00635953	−	0.0442315i
$716$	1.48360	−	3.24863i	0.0554447	−	0.121407i
$717$	0.881342	−	6.12987i	0.0329143	−	0.228924i
$718$	−6.90695	+	2.02806i	−0.257765	+	0.0756866i
$719$	25.4679	+	16.3672i	0.949791	+	0.610394i	0.921155	−	0.389196i	$-0.127247\pi$
$719$	25.4679	+	16.3672i	0.949791	+	0.610394i	0.0286363	+	0.999590i	$0.490884\pi$
$720$	−0.481280	+	0.309300i	−0.0179363	+	0.0115269i
$721$	20.8920	+	45.7471i	0.778059	+	1.70371i
$722$	−16.8986	+	4.96186i	−0.628899	+	0.184661i
$723$	9.70250	+	6.23542i	0.360840	+	0.231898i
$724$	12.4829	−	14.4060i	0.463923	−	0.535396i
$725$	−3.31259	+	3.82294i	−0.123027	+	0.141980i
$726$	−7.05442	−	15.4470i	−0.261814	−	0.573293i
$727$	−3.38583	−	23.5490i	−0.125573	−	0.873382i	−0.951070	−	0.308975i	$-0.900014\pi$
$727$	−3.38583	−	23.5490i	−0.125573	−	0.873382i	0.825497	−	0.564407i	$-0.190895\pi$
$728$	−12.7181	−	3.73438i	−0.471366	−	0.138405i
$729$	−19.6444	−	22.6709i	−0.727571	−	0.839662i
$730$	−1.27502	−	0.374380i	−0.0471907	−	0.0138564i
$731$	−3.02234	+	6.61801i	−0.111785	+	0.244776i
$732$	−1.55495	−	3.40487i	−0.0574727	−	0.125848i
$733$	−16.3728	−	10.5221i	−0.604742	−	0.388644i	0.202140	−	0.979357i	$-0.435210\pi$
$733$	−16.3728	−	10.5221i	−0.604742	−	0.388644i	−0.806882	+	0.590712i	$0.798847\pi$
$734$	−0.626528	+	4.35760i	−0.0231256	+	0.160842i
$735$	8.22280	+	2.41443i	0.303302	+	0.0890576i
$736$	3.81337			0.140563
$737$	1.73195	+	1.95093i	0.0637971	+	0.0718634i
$738$	−2.74557			−0.101066
$739$	33.8315	+	9.93383i	1.24451	+	0.365422i	0.836709	−	0.547648i	$-0.184477\pi$
$739$	33.8315	+	9.93383i	1.24451	+	0.365422i	0.407803	+	0.913070i	$0.366295\pi$
$740$	−0.974861	+	6.78031i	−0.0358366	+	0.249249i
$741$	−5.78989	−	3.72094i	−0.212697	−	0.136692i
$742$	−17.4056	−	38.1130i	−0.638980	−	1.39917i
$743$	−9.69011	+	21.2184i	−0.355496	+	0.778427i	0.644410	+	0.764680i	$0.277103\pi$
$743$	−9.69011	+	21.2184i	−0.355496	+	0.778427i	−0.999906	+	0.0137467i	$0.995624\pi$
$744$	−13.2909	−	3.90257i	−0.487269	−	0.143075i
$745$	−3.59286	−	4.14638i	−0.131632	−	0.151912i
$746$	28.9121	+	8.48936i	1.05855	+	0.310817i
$747$	1.12259	+	7.80777i	0.0410733	+	0.285671i
$748$	−0.426862	−	0.934698i	−0.0156076	−	0.0341760i
$749$	−16.9945	+	19.6127i	−0.620965	+	0.716632i
$750$	−1.02039	+	1.17759i	−0.0372592	+	0.0429994i
$751$	21.4457	+	13.7823i	0.782565	+	0.502924i	0.869884	−	0.493256i	$-0.164194\pi$
$751$	21.4457	+	13.7823i	0.782565	+	0.502924i	−0.0873190	+	0.996180i	$0.527830\pi$
$752$	1.91209	−	0.561440i	0.0697268	−	0.0204736i
$753$	−12.9897	−	28.4435i	−0.473372	−	1.03654i
$754$	−15.9541	+	10.2531i	−0.581015	+	0.373396i
$755$	9.55237	+	6.13894i	0.347646	+	0.223419i
$756$	18.8815	−	5.54410i	0.686712	−	0.201637i
$757$	−0.641986	+	4.46511i	−0.0233334	+	0.162287i	−0.998157	−	0.0606922i	$-0.980669\pi$
$757$	−0.641986	+	4.46511i	−0.0233334	+	0.162287i	0.974823	+	0.222979i	$0.0715783\pi$
$758$	1.84321	−	4.03606i	0.0669483	−	0.146596i
$759$	−0.269511	−	1.87449i	−0.00978262	−	0.0680396i
$760$	0.167668	−	1.16616i	0.00608198	−	0.0423011i
$761$	15.8931	−	10.2139i	0.576123	−	0.370252i	−0.219896	−	0.975523i	$-0.570572\pi$
$761$	15.8931	−	10.2139i	0.576123	−	0.370252i	0.796019	+	0.605271i	$0.206935\pi$
$762$	−1.67135	+	1.92885i	−0.0605468	+	0.0698747i
$763$	−35.5444	+	22.8430i	−1.28679	+	0.826973i
$764$	8.05273	−	17.6330i	0.291337	−	0.637940i
$765$	−1.20788	−	1.39397i	−0.0436711	−	0.0503992i
$766$	−3.09543			−0.111842
$767$	15.6150			0.563824
$768$	1.02039	+	1.17759i	0.0368200	+	0.0424925i
$769$	4.67015	+	32.4816i	0.168410	+	1.17132i	0.882172	+	0.470928i	$0.156081\pi$
$769$	4.67015	+	32.4816i	0.168410	+	1.17132i	−0.713762	+	0.700389i	$0.753010\pi$
$770$	−1.08118	+	0.317463i	−0.0389630	+	0.0114406i
$771$	−7.85721	+	2.30708i	−0.282970	+	0.0830876i
$772$	−1.09944	−	7.64679i	−0.0395698	−	0.275214i
$773$	−1.96270	−	2.26508i	−0.0705934	−	0.0814691i	0.719354	−	0.694643i	$-0.244438\pi$
$773$	−1.96270	−	2.26508i	−0.0705934	−	0.0814691i	−0.789948	+	0.613174i	$0.789892\pi$
$774$	1.29101			0.0464042
$775$	8.88992			0.319335
$776$	−8.00655	−	9.24005i	−0.287418	−	0.331698i
$777$	15.6764	−	34.3264i	0.562386	−	1.23145i
$778$	−3.73647	+	2.40128i	−0.133959	+	0.0860901i
$779$	3.70263	−	4.27307i	0.132661	−	0.153099i
$780$	−4.91439	+	3.15829i	−0.175963	+	0.113085i
$781$	0.443893	−	3.08735i	0.0158838	−	0.110474i
$782$	1.74970	+	12.1695i	0.0625693	+	0.435179i
$783$	11.6961	−	25.6108i	0.417984	−	0.915257i
$784$	−0.782731	+	5.44401i	−0.0279547	+	0.194429i
$785$	−10.3761	+	3.04669i	−0.370338	+	0.108741i
$786$	−2.06866	−	1.32945i	−0.0737866	−	0.0474198i
$787$	−12.8300	+	8.24537i	−0.457342	+	0.293916i	−0.748955	−	0.662621i	$-0.769444\pi$
$787$	−12.8300	+	8.24537i	−0.457342	+	0.293916i	0.291614	+	0.956536i	$0.405808\pi$
$788$	4.32461	+	9.46958i	0.154058	+	0.337340i
$789$	10.1767	−	2.98816i	0.362301	−	0.106381i
$790$	−6.22771	−	4.00231i	−0.221572	−	0.142396i
$791$	7.93608	−	9.15872i	0.282174	−	0.325647i
$792$	−0.119405	+	0.137800i	−0.00424286	+	0.00489652i
$793$	3.74136	+	8.19243i	0.132859	+	0.290922i
$794$	1.03619	+	7.20689i	0.0367732	+	0.255763i
$795$	−17.7178	−	5.20241i	−0.628385	−	0.184510i
$796$	1.64120	+	1.89404i	0.0581708	+	0.0671326i
$797$	23.6646	+	6.94857i	0.838245	+	0.246131i	0.672555	−	0.740047i	$-0.265197\pi$
$797$	23.6646	+	6.94857i	0.838245	+	0.246131i	0.165690	+	0.986178i	$0.447015\pi$
$798$	−2.69621	+	5.90388i	−0.0954448	+	0.208995i
$799$	2.66903	+	5.84436i	0.0944235	+	0.206759i
$800$	−0.841254	−	0.540641i	−0.0297428	−	0.0191145i
$801$	1.41462	−	9.83893i	0.0499833	−	0.347642i
$802$	11.1315	+	3.26850i	0.393067	+	0.115415i
$803$	−0.423523			−0.0149458
$804$	5.15857	−	11.6644i	0.181929	−	0.411372i
$805$	13.4823			0.475189
$806$	31.9791	+	9.38992i	1.12642	+	0.330746i
$807$	−5.60122	+	38.9573i	−0.197172	+	1.37136i
$808$	−12.8527	−	8.25994i	−0.452157	−	0.290584i
$809$	18.8048	+	41.1768i	0.661142	+	1.44770i	0.881454	+	0.472270i	$0.156565\pi$
$809$	18.8048	+	41.1768i	0.661142	+	1.44770i	−0.220311	+	0.975430i	$0.570707\pi$
$810$	2.88979	−	6.32777i	0.101537	−	0.222335i
$811$	14.0502	+	4.12551i	0.493370	+	0.144866i	0.518947	−	0.854806i	$-0.326324\pi$
$811$	14.0502	+	4.12551i	0.493370	+	0.144866i	−0.0255773	+	0.999673i	$0.508142\pi$
$812$	11.7118	+	13.5161i	0.411003	+	0.474323i
$813$	−28.3649	−	8.32869i	−0.994801	−	0.292100i
$814$	0.310702	+	2.16098i	0.0108901	+	0.0757423i
$815$	1.69488	+	3.71128i	0.0593692	+	0.130000i
$816$	−3.28980	+	3.79663i	−0.115166	+	0.132909i
$817$	−1.74103	+	2.00926i	−0.0609110	+	0.0702951i
$818$	−1.85987	−	1.19527i	−0.0650288	−	0.0417915i
$819$	−7.27604	+	2.13644i	−0.254245	+	0.0746532i
$820$	−1.99362	−	4.36542i	−0.0696203	−	0.152447i
$821$	8.85682	−	5.69193i	0.309105	−	0.198650i	−0.376886	−	0.926260i	$-0.623005\pi$
$821$	8.85682	−	5.69193i	0.309105	−	0.198650i	0.685991	+	0.727610i	$0.259369\pi$
$822$	3.78793	+	2.43436i	0.132119	+	0.0849079i
$823$	20.6309	−	6.05777i	0.719147	−	0.211161i	0.0983723	−	0.995150i	$-0.468636\pi$
$823$	20.6309	−	6.05777i	0.719147	−	0.211161i	0.620775	+	0.783989i	$0.286818\pi$
$824$	−2.02439	+	14.0799i	−0.0705228	+	0.490497i
$825$	−0.206300	+	0.451733i	−0.00718243	+	0.0157273i
$826$	−2.09565	−	14.5756i	−0.0729171	−	0.507150i
$827$	−2.89175	+	20.1126i	−0.100556	+	0.699383i	0.875715	+	0.482829i	$0.160391\pi$
$827$	−2.89175	+	20.1126i	−0.100556	+	0.699383i	−0.976271	+	0.216554i	$0.930518\pi$
$828$	1.83530	−	1.17948i	0.0637812	−	0.0409897i
$829$	7.25873	−	8.37702i	0.252106	−	0.290946i	−0.615563	−	0.788087i	$-0.711072\pi$
$829$	7.25873	−	8.37702i	0.252106	−	0.290946i	0.867670	+	0.497141i	$0.165617\pi$
$830$	−11.5991	+	7.45431i	−0.402612	+	0.258743i
$831$	−2.13611	+	4.67743i	−0.0741008	+	0.162258i
$832$	−2.45514	−	2.83338i	−0.0851166	−	0.0982298i
$833$	−17.7324			−0.614391
$834$	31.5977			1.09414
$835$	−9.93966	−	11.4710i	−0.343976	−	0.396970i
$836$	−0.0534383	−	0.371671i	−0.00184820	−	0.0128545i
$837$	−47.4765	+	13.9404i	−1.64103	+	0.481849i
$838$	−20.9609	+	6.15467i	−0.724082	+	0.212610i
$839$	3.43184	+	23.8689i	0.118480	+	0.824048i	0.959231	+	0.282625i	$0.0912051\pi$
$839$	3.43184	+	23.8689i	0.118480	+	0.824048i	−0.840750	+	0.541423i	$0.817886\pi$
$840$	3.60761	+	4.16340i	0.124474	+	0.143651i
$841$	−3.41189			−0.117651
$842$	32.2299			1.11072
$843$	−8.68247	−	10.0201i	−0.299040	−	0.345111i
$844$	−0.150830	+	0.330272i	−0.00519179	+	0.0113684i
$845$	0.888154	−	0.570782i	0.0305534	−	0.0196355i
$846$	0.746598	−	0.861620i	0.0256686	−	0.0296231i
$847$	32.4150	−	20.8318i	1.11379	−	0.715790i
$848$	1.68656	−	11.7303i	0.0579168	−	0.402820i
$849$	1.57185	+	10.9324i	0.0539456	+	0.375200i
$850$	1.33933	−	2.93272i	0.0459386	−	0.100591i
$851$	3.71751	−	25.8559i	0.127435	−	0.886328i
$852$	−14.6314	+	4.29616i	−0.501262	+	0.147184i
$853$	9.57267	+	6.15198i	0.327762	+	0.210640i	0.694164	−	0.719817i	$-0.255774\pi$
$853$	9.57267	+	6.15198i	0.327762	+	0.210640i	−0.366402	+	0.930457i	$0.619411\pi$
$854$	7.14499	−	4.59181i	0.244497	−	0.157128i
$855$	−0.279998	−	0.613110i	−0.00957573	−	0.0209679i
$856$	−7.04281	+	2.06796i	−0.240718	+	0.0706813i
$857$	−35.3785	−	22.7364i	−1.20851	−	0.776660i	−0.228099	−	0.973638i	$-0.573251\pi$
$857$	−35.3785	−	22.7364i	−1.20851	−	0.776660i	−0.980408	+	0.196978i	$0.936887\pi$
$858$	−1.21925	+	1.40709i	−0.0416245	+	0.0480372i
$859$	6.37202	−	7.35371i	0.217411	−	0.250905i	−0.636559	−	0.771228i	$-0.719643\pi$
$859$	6.37202	−	7.35371i	0.217411	−	0.250905i	0.853970	+	0.520323i	$0.174188\pi$
$860$	0.937430	+	2.05269i	0.0319661	+	0.0699960i
$861$	3.76254	+	26.1690i	0.128227	+	0.891839i
$862$	−30.6737	−	9.00661i	−1.04475	−	0.306766i
$863$	−14.3390	−	16.5481i	−0.488106	−	0.563305i	0.457252	−	0.889337i	$-0.348834\pi$
$863$	−14.3390	−	16.5481i	−0.488106	−	0.563305i	−0.945359	+	0.326032i	$0.894288\pi$
$864$	5.34049	+	1.56811i	0.181687	+	0.0533481i
$865$	−6.23153	+	13.6452i	−0.211878	+	0.463949i
$866$	4.87278	+	10.6699i	0.165584	+	0.362578i
$867$	8.65842	+	5.56443i	0.294055	+	0.188978i
$868$	4.47304	−	31.1107i	0.151825	−	1.05597i
$869$	−2.26383	−	0.664722i	−0.0767953	−	0.0225491i
$870$	7.88197			0.267224
$871$	−12.4120	+	28.0656i	−0.420564	+	0.950967i
$872$	−11.9506			−0.404698
$873$	−6.71134	−	1.97063i	−0.227145	−	0.0666957i
$874$	−0.639383	+	4.44700i	−0.0216274	+	0.150422i
$875$	−2.97428	−	1.91145i	−0.100549	−	0.0646189i
$876$	0.860148	+	1.88346i	0.0290617	+	0.0636363i
$877$	2.78563	−	6.09968i	0.0940641	−	0.205972i	−0.856751	−	0.515730i	$-0.827521\pi$
$877$	2.78563	−	6.09968i	0.0940641	−	0.205972i	0.950815	+	0.309758i	$0.100248\pi$
$878$	4.16908	+	1.22415i	0.140700	+	0.0413132i
$879$	4.55564	+	5.25749i	0.153658	+	0.177331i
$880$	−0.305804	−	0.0897921i	−0.0103086	−	0.00302689i
$881$	−6.91330	−	48.0831i	−0.232915	−	1.61996i	−0.685385	−	0.728181i	$-0.740366\pi$
$881$	−6.91330	−	48.0831i	−0.232915	−	1.61996i	0.452470	−	0.891780i	$-0.350543\pi$
$882$	1.30712	+	2.86220i	0.0440131	+	0.0963752i
$883$	34.5198	−	39.8380i	1.16168	−	1.34066i	0.231818	−	0.972759i	$-0.425533\pi$
$883$	34.5198	−	39.8380i	1.16168	−	1.34066i	0.929867	−	0.367897i	$-0.119922\pi$
$884$	7.91554	−	9.13502i	0.266229	−	0.307244i
$885$	−5.45955	−	3.50864i	−0.183521	−	0.117942i
$886$	30.3258	−	8.90446i	1.01882	−	0.299151i
$887$	4.72885	+	10.3547i	0.158779	+	0.347678i	0.972256	−	0.233919i	$-0.0751552\pi$
$887$	4.72885	+	10.3547i	0.158779	+	0.347678i	−0.813477	+	0.581597i	$0.802428\pi$
$888$	8.97915	−	5.77055i	0.301320	−	0.193647i
$889$	−4.87176	−	3.13089i	−0.163394	−	0.105007i
$890$	16.6710	−	4.89505i	0.558813	−	0.164082i
$891$	0.315527	−	2.19454i	0.0105705	−	0.0735197i
$892$	−8.43294	+	18.4656i	−0.282356	+	0.618273i
$893$	0.334132	+	2.32394i	0.0111813	+	0.0777677i
$894$	−1.21663	+	8.46181i	−0.0406900	+	0.283005i
$895$	3.00443	−	1.93083i	0.100427	−	0.0645404i
$896$	−2.31528	+	2.67198i	−0.0773481	+	0.0892645i
$897$	18.7404	−	12.0437i	0.625724	−	0.402128i
$898$	12.8087	−	28.0470i	0.427430	−	0.935942i
$899$	−29.4487	−	33.9856i	−0.982169	−	1.13348i
$900$	−0.572099			−0.0190700
$901$	38.2082			1.27290
$902$	−1.00164	−	1.15595i	−0.0333509	−	0.0384890i
$903$	−1.76920	−	12.3051i	−0.0588753	−	0.409487i
$904$	3.28885	−	0.965693i	0.109385	−	0.0321185i
$905$	18.2898	−	5.37036i	0.607972	−	0.178517i
$906$	−2.51797	−	17.5128i	−0.0836538	−	0.581825i
$907$	−35.2079	−	40.6321i	−1.16906	−	1.34917i	−0.925257	−	0.379341i	$-0.876151\pi$
$907$	−35.2079	−	40.6321i	−1.16906	−	1.34917i	−0.243802	−	0.969825i	$-0.578395\pi$
$908$	17.3273			0.575027
$909$	−8.74057			−0.289906
$910$	−8.68022	−	10.0175i	−0.287747	−	0.332077i
$911$	13.9155	−	30.4707i	0.461041	−	1.00954i	−0.526208	−	0.850356i	$-0.676387\pi$
$911$	13.9155	−	30.4707i	0.461041	−	1.00954i	0.987249	−	0.159184i	$-0.0508862\pi$
$912$	−1.54434	+	0.992489i	−0.0511383	+	0.0328646i
$913$	−2.87772	+	3.32107i	−0.0952386	+	0.109911i
$914$	16.1590	−	10.3847i	0.534491	−	0.343497i
$915$	0.532703	−	3.70503i	0.0176106	−	0.122485i
$916$	0.690075	+	4.79958i	0.0228007	+	0.158582i
$917$	2.31784	−	5.07536i	0.0765418	−	0.167603i
$918$	−2.55384	+	17.7624i	−0.0842893	+	0.586245i
$919$	−38.3637	+	11.2646i	−1.26550	+	0.371585i	−0.844539	−	0.535494i	$-0.820125\pi$
$919$	−38.3637	+	11.2646i	−1.26550	+	0.371585i	−0.420962	+	0.907078i	$0.638307\pi$
$920$	3.20801	+	2.06167i	0.105765	+	0.0679711i
$921$	32.9288	−	21.1620i	1.08504	−	0.697312i
$922$	3.45053	+	7.55561i	0.113637	+	0.248831i
$923$	35.2044	−	10.3369i	1.15877	−	0.340244i
$924$	1.47706	+	0.949249i	0.0485917	+	0.0312280i
$925$	−4.48582	+	5.17691i	−0.147493	+	0.170216i
$926$	−11.4660	+	13.2325i	−0.376796	+	0.434846i
$927$	3.38062	+	7.40253i	0.111034	+	0.243131i
$928$	0.719895	+	5.00698i	0.0236317	+	0.164362i
$929$	3.89508	+	1.14370i	0.127793	+	0.0375235i	0.345004	−	0.938601i	$-0.387878\pi$
$929$	3.89508	+	1.14370i	0.127793	+	0.0375235i	−0.217211	+	0.976125i	$0.569696\pi$
$930$	−9.07115	−	10.4687i	−0.297455	−	0.343281i
$931$	−6.21735	−	1.82558i	−0.203765	−	0.0598309i
$932$	7.42607	−	16.2608i	0.243249	−	0.532641i
$933$	−0.162984	−	0.356886i	−0.00533586	−	0.0116839i
$934$	11.6389	+	7.47987i	0.380836	+	0.244749i
$935$	0.146237	−	1.01710i	0.00478245	−	0.0332626i
$936$	−2.05798	−	0.604276i	−0.0672670	−	0.0197514i
$937$	28.4315			0.928817			0.464409	−	0.885621i	$-0.346267\pi$
$937$	28.4315			0.928817			0.464409	+	0.885621i	$0.346267\pi$
$938$	27.8632	+	7.81916i	0.909767	+	0.255305i
$939$	7.48700			0.244329
$940$	1.91209	+	0.561440i	0.0623655	+	0.0183122i
$941$	−6.51519	+	45.3142i	−0.212389	+	1.47720i	0.552757	+	0.833343i	$0.313576\pi$
$941$	−6.51519	+	45.3142i	−0.212389	+	1.47720i	−0.765146	+	0.643857i	$0.777333\pi$
$942$	14.1753	+	9.10994i	0.461858	+	0.296818i
$943$	7.60243	+	16.6470i	0.247569	+	0.542101i
$944$	1.73020	−	3.78861i	0.0563133	−	0.123309i
$945$	18.8815	+	5.54410i	0.614214	+	0.180350i
$946$	0.470984	+	0.543545i	0.0153130	+	0.0176722i
$947$	41.1798	+	12.0915i	1.33817	+	0.392921i	0.871015	−	0.491257i	$-0.163462\pi$
$947$	41.1798	+	12.0915i	1.33817	+	0.392921i	0.467151	+	0.884178i	$0.345281\pi$
$948$	1.64160	+	11.4176i	0.0533167	+	0.370826i
$949$	−2.06959	−	4.53178i	−0.0671818	−	0.147108i
$950$	0.771525	−	0.890388i	0.0250316	−	0.0288880i
$951$	5.14617	−	5.93900i	0.166876	−	0.192585i
$952$	−9.58929	−	6.16266i	−0.310791	−	0.199733i
$953$	−12.0051	+	3.52500i	−0.388882	+	0.114186i	−0.470328	−	0.882492i	$-0.655864\pi$
$953$	−12.0051	+	3.52500i	−0.388882	+	0.114186i	0.0814459	+	0.996678i	$0.474046\pi$
$954$	−2.81647	−	6.16722i	−0.0911867	−	0.199671i
$955$	16.3075	−	10.4802i	0.527699	−	0.339131i
$956$	3.34353	+	2.14876i	0.108138	+	0.0694958i
$957$	2.41033	−	0.707738i	0.0779151	−	0.0228779i
$958$	1.20304	−	8.36731i	0.0388684	−	0.270335i
$959$	−4.24421	+	9.29353i	−0.137053	+	0.300104i
$960$	0.221751	+	1.54231i	0.00715698	+	0.0497779i
$961$	−6.83548	+	47.5418i	−0.220499	+	1.53361i
$962$	−21.6046	+	13.8844i	−0.696561	+	0.447653i
$963$	−2.74995	+	3.17361i	−0.0886159	+	0.102268i
$964$	−6.22685	+	4.00175i	−0.200553	+	0.128888i
$965$	3.20926	−	7.02729i	0.103310	−	0.226217i
$966$	−13.7572	−	15.8766i	−0.442629	−	0.510822i
$967$	−14.7367			−0.473899			−0.236949	−	0.971522i	$-0.576148\pi$
$967$	−14.7367			−0.473899			−0.236949	+	0.971522i	$0.576148\pi$
$968$	10.8984			0.350289
$969$	−3.87588	−	4.47301i	−0.124511	−	0.143694i
$970$	−1.73999	−	12.1019i	−0.0558677	−	0.388568i
$971$	2.86273	−	0.840572i	0.0918692	−	0.0269752i	−0.235475	−	0.971880i	$-0.575665\pi$
$971$	2.86273	−	0.840572i	0.0918692	−	0.0269752i	0.327344	+	0.944905i	$0.393846\pi$
$972$	5.62125	−	1.65055i	0.180302	−	0.0529413i
$973$	10.2034	+	70.9663i	0.327106	+	2.27508i
$974$	16.1554	+	18.6444i	0.517654	+	0.597404i
$975$	−5.84174			−0.187086
$976$	2.40226			0.0768944
$977$	32.2354	+	37.2016i	1.03130	+	1.19019i	0.981507	+	0.191427i	$0.0613114\pi$
$977$	32.2354	+	37.2016i	1.03130	+	1.19019i	0.0497952	+	0.998759i	$0.484143\pi$
$978$	2.64092	−	5.78281i	0.0844473	−	0.184914i
$979$	4.65852	−	2.99385i	0.148887	−	0.0956838i
$980$	−3.60173	+	4.15662i	−0.115053	+	0.132778i
$981$	−5.75159	+	3.69632i	−0.183634	+	0.118015i
$982$	5.02577	−	34.9550i	0.160379	−	1.11546i
$983$	−4.70466	−	32.7217i	−0.150055	−	1.04366i	−0.916123	−	0.400898i	$-0.868698\pi$
$983$	−4.70466	−	32.7217i	−0.150055	−	1.04366i	0.766067	−	0.642761i	$-0.222211\pi$
$984$	−3.10641	+	6.80208i	−0.0990286	+	0.216842i
$985$	−1.48155	+	10.3044i	−0.0472060	+	0.328325i
$986$	−15.6482	+	4.59474i	−0.498342	+	0.146326i
$987$	−9.23558	−	5.93534i	−0.293972	−	0.188924i
$988$	3.71582	−	2.38802i	0.118216	−	0.0759729i
$989$	−3.57477	−	7.82766i	−0.113671	−	0.248905i
$990$	−0.174950	+	0.0513700i	−0.00556028	+	0.00163265i
$991$	−14.3065	−	9.19425i	−0.454462	−	0.292065i	0.293314	−	0.956016i	$-0.405242\pi$
$991$	−14.3065	−	9.19425i	−0.454462	−	0.292065i	−0.747776	+	0.663951i	$0.768878\pi$
$992$	5.82166	−	6.71855i	0.184838	−	0.213314i
$993$	22.5220	−	25.9918i	0.714715	−	0.824825i
$994$	−14.3736	−	31.4737i	−0.455902	−	0.998286i
$995$	0.356667	+	2.48067i	0.0113071	+	0.0786426i
$996$	20.6137	+	6.05273i	0.653170	+	0.191788i
$997$	−38.9953	−	45.0030i	−1.23499	−	1.42526i	−0.869124	−	0.494595i	$-0.835317\pi$
$997$	−38.9953	−	45.0030i	−1.23499	−	1.42526i	−0.365871	−	0.930666i	$-0.619229\pi$
$998$	−21.7678	−	6.39159i	−0.689046	−	0.202322i
$999$	15.8385	−	34.6815i	0.501108	−	1.09727i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	670.2.k.c.131.4	✓	50
67.22	even	11	inner	670.2.k.c.491.4	yes	50

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
670.2.k.c.131.4	✓	50	1.1	even	1	trivial
670.2.k.c.491.4	yes	50	67.22	even	11	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:	\( N \)	\(=\)	\( 670 = 2 \cdot 5 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	670.k (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.959493 + 0.281733i) q^{2} +(0.221751 - 1.54231i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.647288 - 1.41736i) q^{6} +(3.39232 + 0.996075i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.548925 + 0.161179i) q^{9} +O(q^{10})\)	\(q+(0.959493 + 0.281733i) q^{2} +(0.221751 - 1.54231i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.415415 + 0.909632i) q^{5} +(0.647288 - 1.41736i) q^{6} +(3.39232 + 0.996075i) q^{7} +(0.654861 + 0.755750i) q^{8} +(0.548925 + 0.161179i) q^{9} +(0.142315 + 0.989821i) q^{10} +(0.132399 + 0.289912i) q^{11} +(1.02039 - 1.17759i) q^{12} +(-2.45514 + 2.83338i) q^{13} +(2.97428 + 1.91145i) q^{14} +(1.49506 - 0.438988i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-2.71226 + 1.74306i) q^{17} +(0.481280 + 0.309300i) q^{18} +(-1.13043 + 0.331924i) q^{19} +(-0.142315 + 0.989821i) q^{20} +(2.28851 - 5.01114i) q^{21} +(0.0453577 + 0.315470i) q^{22} +(0.542700 - 3.77456i) q^{23} +(1.31082 - 0.842412i) q^{24} +(-0.654861 + 0.755750i) q^{25} +(-3.15394 + 2.02692i) q^{26} +(2.31218 - 5.06296i) q^{27} +(2.31528 + 2.67198i) q^{28} +5.05847 q^{29} +1.55817 q^{30} +(-5.82166 - 6.71855i) q^{31} +(0.142315 + 0.989821i) q^{32} +(0.476495 - 0.139912i) q^{33} +(-3.09347 + 0.908326i) q^{34} +(0.503159 + 3.49955i) q^{35} +(0.374645 + 0.432364i) q^{36} +6.85003 q^{37} -1.17815 q^{38} +(3.82553 + 4.41490i) q^{39} +(-0.415415 + 0.909632i) q^{40} +(-4.03727 + 2.59459i) q^{41} +(3.60761 - 4.16340i) q^{42} +(1.89838 - 1.22002i) q^{43} +(-0.0453577 + 0.315470i) q^{44} +(0.0814182 + 0.566276i) q^{45} +(1.58413 - 3.46877i) q^{46} +(0.283607 - 1.97253i) q^{47} +(1.49506 - 0.438988i) q^{48} +(4.62689 + 2.97352i) q^{49} +(-0.841254 + 0.540641i) q^{50} +(2.08690 + 4.56968i) q^{51} +(-3.59724 + 1.05624i) q^{52} +(-9.96963 - 6.40709i) q^{53} +(3.64492 - 4.20646i) q^{54} +(-0.208713 + 0.240868i) q^{55} +(1.46871 + 3.21603i) q^{56} +(0.261256 + 1.81708i) q^{57} +(4.85357 + 1.42514i) q^{58} +(-2.72749 - 3.14769i) q^{59} +(1.49506 + 0.438988i) q^{60} +(0.997934 - 2.18517i) q^{61} +(-3.69301 - 8.08656i) q^{62} +(1.70158 + 1.09354i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(-3.59724 - 1.05624i) q^{65} +0.496611 q^{66} +(7.82553 - 2.40024i) q^{67} -3.22407 q^{68} +(-5.70121 - 1.67403i) q^{69} +(-0.503159 + 3.49955i) q^{70} +(-8.23293 - 5.29098i) q^{71} +(0.237659 + 0.520400i) q^{72} +(-0.552024 + 1.20876i) q^{73} +(6.57256 + 1.92988i) q^{74} +(1.02039 + 1.17759i) q^{75} +(-1.13043 - 0.331924i) q^{76} +(0.160364 + 1.11535i) q^{77} +(2.42675 + 5.31384i) q^{78} +(-4.84787 + 5.59474i) q^{79} +(-0.654861 + 0.755750i) q^{80} +(-5.85210 - 3.76092i) q^{81} +(-4.60471 + 1.35207i) q^{82} +(5.72771 + 12.5419i) q^{83} +(4.63444 - 2.97837i) q^{84} +(-2.71226 - 1.74306i) q^{85} +(2.16520 - 0.635761i) q^{86} +(1.12172 - 7.80174i) q^{87} +(-0.132399 + 0.289912i) q^{88} +(-2.47269 - 17.1979i) q^{89} +(-0.0814182 + 0.566276i) q^{90} +(-11.1509 + 7.16623i) q^{91} +(2.49723 - 2.88196i) q^{92} +(-11.6531 + 7.48897i) q^{93} +(0.827845 - 1.81273i) q^{94} +(-0.771525 - 0.890388i) q^{95} +1.55817 q^{96} -12.2263 q^{97} +(3.60173 + 4.15662i) q^{98} +(0.0259491 + 0.180480i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9}+O(q^{10}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9	\( 50 q + 5 q^{2} - 2 q^{3} - 5 q^{4} - 5 q^{5} + 2 q^{6} - q^{7} + 5 q^{8} - q^{9} + 5 q^{10} - 12 q^{11} - 2 q^{12} + 24 q^{13} + 23 q^{14} - 2 q^{15} - 5 q^{16} + 31 q^{17} + q^{18} + 4 q^{19} - 5 q^{20} + 12 q^{21} + q^{22} + 27 q^{23} - 9 q^{24} - 5 q^{25} - 2 q^{26} - 14 q^{27} + 10 q^{28} - 36 q^{29} + 2 q^{30} - 13 q^{31} + 5 q^{32} - 42 q^{33} + 2 q^{34} + 21 q^{35} - q^{36} - 50 q^{37} - 26 q^{38} - 31 q^{39} + 5 q^{40} - 10 q^{41} + 21 q^{42} + 16 q^{43} - q^{44} - q^{45} + 17 q^{46} - 13 q^{47} - 2 q^{48} - 40 q^{49} + 5 q^{50} - 19 q^{51} - 20 q^{52} - 5 q^{53} + 47 q^{54} + 10 q^{55} + 12 q^{56} - 90 q^{57} - 8 q^{58} - 20 q^{59} - 2 q^{60} + 12 q^{61} + 13 q^{62} - 15 q^{63} - 5 q^{64} - 20 q^{65} + 20 q^{66} - 21 q^{67} - 24 q^{68} + 77 q^{69} - 21 q^{70} + 24 q^{71} + 12 q^{72} - 68 q^{73} - 16 q^{74} - 2 q^{75} + 4 q^{76} + 7 q^{77} + 53 q^{78} - 26 q^{79} - 5 q^{80} - 21 q^{81} + 21 q^{82} - 10 q^{83} + 12 q^{84} + 31 q^{85} - 27 q^{86} + 61 q^{87} + 12 q^{88} + 51 q^{89} + q^{90} - 10 q^{91} - 6 q^{92} - 38 q^{93} - 9 q^{94} + 15 q^{95} + 2 q^{96} + 72 q^{97} - 37 q^{98} - 32 q^{99}+O(q^{100}) \) 50 * q + 5 * q^2 - 2 * q^3 - 5 * q^4 - 5 * q^5 + 2 * q^6 - q^7 + 5 * q^8 - q^9 + 5 * q^10 - 12 * q^11 - 2 * q^12 + 24 * q^13 + 23 * q^14 - 2 * q^15 - 5 * q^16 + 31 * q^17 + q^18 + 4 * q^19 - 5 * q^20 + 12 * q^21 + q^22 + 27 * q^23 - 9 * q^24 - 5 * q^25 - 2 * q^26 - 14 * q^27 + 10 * q^28 - 36 * q^29 + 2 * q^30 - 13 * q^31 + 5 * q^32 - 42 * q^33 + 2 * q^34 + 21 * q^35 - q^36 - 50 * q^37 - 26 * q^38 - 31 * q^39 + 5 * q^40 - 10 * q^41 + 21 * q^42 + 16 * q^43 - q^44 - q^45 + 17 * q^46 - 13 * q^47 - 2 * q^48 - 40 * q^49 + 5 * q^50 - 19 * q^51 - 20 * q^52 - 5 * q^53 + 47 * q^54 + 10 * q^55 + 12 * q^56 - 90 * q^57 - 8 * q^58 - 20 * q^59 - 2 * q^60 + 12 * q^61 + 13 * q^62 - 15 * q^63 - 5 * q^64 - 20 * q^65 + 20 * q^66 - 21 * q^67 - 24 * q^68 + 77 * q^69 - 21 * q^70 + 24 * q^71 + 12 * q^72 - 68 * q^73 - 16 * q^74 - 2 * q^75 + 4 * q^76 + 7 * q^77 + 53 * q^78 - 26 * q^79 - 5 * q^80 - 21 * q^81 + 21 * q^82 - 10 * q^83 + 12 * q^84 + 31 * q^85 - 27 * q^86 + 61 * q^87 + 12 * q^88 + 51 * q^89 + q^90 - 10 * q^91 - 6 * q^92 - 38 * q^93 - 9 * q^94 + 15 * q^95 + 2 * q^96 + 72 * q^97 - 37 * q^98 - 32 * q^99

Introduction

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