LMFDB - Embedded newform 63.2.g.b.4.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [63,2,Mod(4,63)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(63, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([2, 4]))

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

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

chi := DirichletCharacter("63.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 63 = 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	63.g (of order $3$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.503057532734$
Analytic rank:	$0$
Dimension:	$10$
Relative dimension:	$5$ over $\Q(\zeta_{3})$
Coefficient field:	10.0.991381711347.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - 2x^{9} + 9x^{8} - 8x^{7} + 40x^{6} - 36x^{5} + 90x^{4} - 3x^{3} + 36x^{2} - 9x + 9 $ x^10 - 2x^9 + 9x^8 - 8x^7 + 40x^6 - 36x^5 + 90x^4 - 3x^3 + 36x^2 - 9*x + 9
Coefficient ring:	$\Z[a_1, \ldots, a_{4}]$
Coefficient ring index:	$ 3 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label			4.1
Root			$-1.02682 + 1.77851i$ of defining polynomial
Character	$\chi$	$=$	63.4
Dual form			63.2.g.b.16.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.02682 + 1.77851i) q^{2} +(1.09995 + 1.33795i) q^{3} +(-1.10873 - 1.92038i) q^{4} -0.146246 q^{5} +(-3.50901 + 0.582422i) q^{6} +(0.0802402 - 2.64453i) q^{7} +0.446582 q^{8} +(-0.580240 + 2.94335i) q^{9} +O(q^{10})$	\(q+(-1.02682 + 1.77851i) q^{2} +(1.09995 + 1.33795i) q^{3} +(-1.10873 - 1.92038i) q^{4} -0.146246 q^{5} +(-3.50901 + 0.582422i) q^{6} +(0.0802402 - 2.64453i) q^{7} +0.446582 q^{8} +(-0.580240 + 2.94335i) q^{9} +(0.150168 - 0.260099i) q^{10} +1.66404 q^{11} +(1.34983 - 3.59574i) q^{12} +(0.0999454 - 0.173111i) q^{13} +(4.62094 + 2.85818i) q^{14} +(-0.160862 - 0.195670i) q^{15} +(1.75890 - 3.04650i) q^{16} +(3.13555 - 5.43093i) q^{17} +(-4.63897 - 4.05426i) q^{18} +(3.45879 + 5.99080i) q^{19} +(0.162147 + 0.280847i) q^{20} +(3.62652 - 2.80149i) q^{21} +(-1.70867 + 2.95951i) q^{22} -6.18184 q^{23} +(0.491216 + 0.597507i) q^{24} -4.97861 q^{25} +(0.205252 + 0.355508i) q^{26} +(-4.57630 + 2.46119i) q^{27} +(-5.16746 + 2.77798i) q^{28} +(-2.46757 - 4.27396i) q^{29} +(0.513178 - 0.0851766i) q^{30} +(1.25890 + 2.18047i) q^{31} +(4.05873 + 7.02993i) q^{32} +(1.83035 + 2.22641i) q^{33} +(6.43931 + 11.1532i) q^{34} +(-0.0117348 + 0.386752i) q^{35} +(6.29567 - 2.14910i) q^{36} +(-3.50023 - 6.06257i) q^{37} -14.2062 q^{38} +(0.341548 - 0.0566898i) q^{39} -0.0653107 q^{40} +(1.15895 - 2.00736i) q^{41} +(1.25867 + 9.32643i) q^{42} +(-0.940993 - 1.62985i) q^{43} +(-1.84497 - 3.19558i) q^{44} +(0.0848576 - 0.430452i) q^{45} +(6.34765 - 10.9944i) q^{46} +(0.905887 - 1.56904i) q^{47} +(6.01077 - 0.997660i) q^{48} +(-6.98712 - 0.424396i) q^{49} +(5.11215 - 8.85451i) q^{50} +(10.7153 - 1.77851i) q^{51} -0.443250 q^{52} +(-2.67307 + 4.62989i) q^{53} +(0.321798 - 10.6662i) q^{54} -0.243359 q^{55} +(0.0358339 - 1.18100i) q^{56} +(-4.21093 + 11.2172i) q^{57} +10.1350 q^{58} +(2.28549 + 3.95859i) q^{59} +(-0.197407 + 0.525861i) q^{60} +(0.339138 - 0.587404i) q^{61} -5.17066 q^{62} +(7.73724 + 1.77064i) q^{63} -9.63481 q^{64} +(-0.0146166 + 0.0253167i) q^{65} +(-5.83914 + 0.969173i) q^{66} +(3.09342 + 5.35796i) q^{67} -13.9059 q^{68} +(-6.79968 - 8.27101i) q^{69} +(-0.675792 - 0.417996i) q^{70} +1.27749 q^{71} +(-0.259125 + 1.31445i) q^{72} +(-0.778603 + 1.34858i) q^{73} +14.3765 q^{74} +(-5.47620 - 6.66115i) q^{75} +(7.66972 - 13.2843i) q^{76} +(0.133523 - 4.40061i) q^{77} +(-0.249886 + 0.665657i) q^{78} +(-6.39787 + 11.0814i) q^{79} +(-0.257231 + 0.445537i) q^{80} +(-8.32664 - 3.41570i) q^{81} +(2.38008 + 4.12241i) q^{82} +(3.75687 + 6.50709i) q^{83} +(-9.40074 - 3.85820i) q^{84} +(-0.458561 + 0.794251i) q^{85} +3.86493 q^{86} +(3.00417 - 8.00262i) q^{87} +0.743131 q^{88} +(4.53394 + 7.85301i) q^{89} +(0.678430 + 0.592918i) q^{90} +(-0.449777 - 0.278199i) q^{91} +(6.85398 + 11.8714i) q^{92} +(-1.53266 + 4.08275i) q^{93} +(1.86037 + 3.22226i) q^{94} +(-0.505833 - 0.876128i) q^{95} +(-4.94134 + 13.1629i) q^{96} +(-3.98514 - 6.90246i) q^{97} +(7.92933 - 11.9909i) q^{98} +(-0.965543 + 4.89786i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 2 q^{2} + 2 q^{3} - 4 q^{4} - 8 q^{5} - 2 q^{6} - q^{7} - 6 q^{8} - 4 q^{9}+O(q^{10}) $ 10 * q + 2 * q^2 + 2 * q^3 - 4 * q^4 - 8 * q^5 - 2 * q^6 - q^7 - 6 * q^8 - 4 * q^9	\( 10 q + 2 q^{2} + 2 q^{3} - 4 q^{4} - 8 q^{5} - 2 q^{6} - q^{7} - 6 q^{8} - 4 q^{9} - 7 q^{10} - 8 q^{11} + 22 q^{12} - 8 q^{13} + 16 q^{14} - 19 q^{15} + 2 q^{16} + 12 q^{17} - 2 q^{18} + q^{19} + 5 q^{20} - 2 q^{21} - q^{22} - 6 q^{23} + 3 q^{24} + 2 q^{25} + 11 q^{26} - 7 q^{27} - 2 q^{28} + 7 q^{29} - 26 q^{30} - 3 q^{31} - 2 q^{32} - q^{33} + 3 q^{34} + 5 q^{35} + 34 q^{36} - 40 q^{38} + 20 q^{39} + 6 q^{40} + 5 q^{41} + 32 q^{42} - 7 q^{43} - 10 q^{44} - q^{45} + 3 q^{46} + 27 q^{47} - 5 q^{48} + 25 q^{49} + 19 q^{50} + 24 q^{51} + 20 q^{52} - 21 q^{53} - 53 q^{54} + 4 q^{55} - 45 q^{56} - 4 q^{57} + 20 q^{58} + 30 q^{59} - 41 q^{60} - 14 q^{61} - 12 q^{62} - 35 q^{63} - 50 q^{64} - 11 q^{65} - 41 q^{66} - 2 q^{67} - 54 q^{68} + 15 q^{69} - 29 q^{70} - 6 q^{71} + 48 q^{72} + 15 q^{73} + 72 q^{74} + 31 q^{75} + 5 q^{76} - 31 q^{77} - 20 q^{78} - 4 q^{79} + 20 q^{80} + 8 q^{81} - 5 q^{82} + 9 q^{83} + 2 q^{84} - 6 q^{85} + 16 q^{86} + 32 q^{87} + 36 q^{88} + 28 q^{89} + 28 q^{90} - 4 q^{91} + 27 q^{92} - 12 q^{93} - 3 q^{94} - 14 q^{95} - q^{96} - 12 q^{97} + 59 q^{98} + 35 q^{99}+O(q^{100}) \) 10 * q + 2 * q^2 + 2 * q^3 - 4 * q^4 - 8 * q^5 - 2 * q^6 - q^7 - 6 * q^8 - 4 * q^9 - 7 * q^10 - 8 * q^11 + 22 * q^12 - 8 * q^13 + 16 * q^14 - 19 * q^15 + 2 * q^16 + 12 * q^17 - 2 * q^18 + q^19 + 5 * q^20 - 2 * q^21 - q^22 - 6 * q^23 + 3 * q^24 + 2 * q^25 + 11 * q^26 - 7 * q^27 - 2 * q^28 + 7 * q^29 - 26 * q^30 - 3 * q^31 - 2 * q^32 - q^33 + 3 * q^34 + 5 * q^35 + 34 * q^36 - 40 * q^38 + 20 * q^39 + 6 * q^40 + 5 * q^41 + 32 * q^42 - 7 * q^43 - 10 * q^44 - q^45 + 3 * q^46 + 27 * q^47 - 5 * q^48 + 25 * q^49 + 19 * q^50 + 24 * q^51 + 20 * q^52 - 21 * q^53 - 53 * q^54 + 4 * q^55 - 45 * q^56 - 4 * q^57 + 20 * q^58 + 30 * q^59 - 41 * q^60 - 14 * q^61 - 12 * q^62 - 35 * q^63 - 50 * q^64 - 11 * q^65 - 41 * q^66 - 2 * q^67 - 54 * q^68 + 15 * q^69 - 29 * q^70 - 6 * q^71 + 48 * q^72 + 15 * q^73 + 72 * q^74 + 31 * q^75 + 5 * q^76 - 31 * q^77 - 20 * q^78 - 4 * q^79 + 20 * q^80 + 8 * q^81 - 5 * q^82 + 9 * q^83 + 2 * q^84 - 6 * q^85 + 16 * q^86 + 32 * q^87 + 36 * q^88 + 28 * q^89 + 28 * q^90 - 4 * q^91 + 27 * q^92 - 12 * q^93 - 3 * q^94 - 14 * q^95 - q^96 - 12 * q^97 + 59 * q^98 + 35 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

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

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

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

$2$	−1.02682	+	1.77851i	−0.726073	+	1.25760i	0.232458	+	0.972607i	$0.425323\pi$
$2$	−1.02682	+	1.77851i	−0.726073	+	1.25760i	−0.958531	+	0.284989i	$0.908010\pi$
$3$	1.09995	+	1.33795i	0.635054	+	0.772468i
$3$	1.09995	+	1.33795i	0.635054	+	0.772468i
$4$	−1.10873	−	1.92038i	−0.554365	−	0.960188i
$5$	−0.146246			−0.0654030			−0.0327015	−	0.999465i	$-0.510411\pi$
$5$	−0.146246			−0.0654030			−0.0327015	+	0.999465i	$0.510411\pi$
$6$	−3.50901	+	0.582422i	−1.43255	+	0.237773i
$7$	0.0802402	−	2.64453i	0.0303280	−	0.999540i
$7$	0.0802402	−	2.64453i	0.0303280	−	0.999540i
$8$	0.446582			0.157891
$9$	−0.580240	+	2.94335i	−0.193413	+	0.981117i
$10$	0.150168	−	0.260099i	0.0474874	−	0.0822506i
$11$	1.66404			0.501727			0.250864	−	0.968022i	$-0.419285\pi$
$11$	1.66404			0.501727			0.250864	+	0.968022i	$0.419285\pi$
$12$	1.34983	−	3.59574i	0.389663	−	1.03800i
$13$	0.0999454	−	0.173111i	0.0277199	−	0.0480122i	−0.851833	−	0.523814i	$-0.824509\pi$
$13$	0.0999454	−	0.173111i	0.0277199	−	0.0480122i	0.879553	+	0.475802i	$0.157842\pi$
$14$	4.62094	+	2.85818i	1.23500	+	0.763880i
$15$	−0.160862	−	0.195670i	−0.0415345	−	0.0505218i
$16$	1.75890	−	3.04650i	0.439724	−	0.761625i
$17$	3.13555	−	5.43093i	0.760483	−	1.31720i	−0.182119	−	0.983277i	$-0.558296\pi$
$17$	3.13555	−	5.43093i	0.760483	−	1.31720i	0.942602	−	0.333919i	$-0.108371\pi$
$18$	−4.63897	−	4.05426i	−1.09342	−	0.955599i
$19$	3.45879	+	5.99080i	0.793500	+	1.37438i	0.923787	+	0.382907i	$0.125077\pi$
$19$	3.45879	+	5.99080i	0.793500	+	1.37438i	−0.130287	+	0.991476i	$0.541590\pi$
$20$	0.162147	+	0.280847i	0.0362571	+	0.0627992i
$21$	3.62652	−	2.80149i	0.791372	−	0.611334i
$22$	−1.70867	+	2.95951i	−0.364291	+	0.630970i
$23$	−6.18184			−1.28900			−0.644501	−	0.764604i	$-0.722935\pi$
$23$	−6.18184			−1.28900			−0.644501	+	0.764604i	$0.722935\pi$
$24$	0.491216	+	0.597507i	0.100269	+	0.121966i
$25$	−4.97861			−0.995722
$26$	0.205252	+	0.355508i	0.0402533	+	0.0697208i
$27$	−4.57630	+	2.46119i	−0.880710	+	0.473657i
$28$	−5.16746	+	2.77798i	−0.976559	+	0.524989i
$29$	−2.46757	−	4.27396i	−0.458217	−	0.793655i	0.540650	−	0.841248i	$-0.318178\pi$
$29$	−2.46757	−	4.27396i	−0.458217	−	0.793655i	−0.998867	+	0.0475930i	$0.984845\pi$
$30$	0.513178	−	0.0851766i	0.0936930	−	0.0155511i
$31$	1.25890	+	2.18047i	0.226105	+	0.391625i	0.956650	−	0.291239i	$-0.0940675\pi$
$31$	1.25890	+	2.18047i	0.226105	+	0.391625i	−0.730546	+	0.682864i	$0.760734\pi$
$32$	4.05873	+	7.02993i	0.717490	+	1.24273i
$33$	1.83035	+	2.22641i	0.318624	+	0.387568i
$34$	6.43931	+	11.1532i	1.10433	+	1.91276i
$35$	−0.0117348	+	0.386752i	−0.00198354	+	0.0653730i
$36$	6.29567	−	2.14910i	1.04928	−	0.358184i
$37$	−3.50023	−	6.06257i	−0.575434	−	0.996681i	−0.995994	−	0.0894162i	$-0.971500\pi$
$37$	−3.50023	−	6.06257i	−0.575434	−	0.996681i	0.420560	−	0.907264i	$-0.361833\pi$
$38$	−14.2062			−2.30456
$39$	0.341548	−	0.0566898i	0.0546915	−	0.00907763i
$40$	−0.0653107			−0.0103265
$41$	1.15895	−	2.00736i	0.180998	−	0.313498i	−0.761223	−	0.648491i	$-0.775401\pi$
$41$	1.15895	−	2.00736i	0.180998	−	0.313498i	0.942221	+	0.334993i	$0.108734\pi$
$42$	1.25867	+	9.32643i	0.194217	+	1.43910i
$43$	−0.940993	−	1.62985i	−0.143500	−	0.248550i	0.785312	−	0.619100i	$-0.212502\pi$
$43$	−0.940993	−	1.62985i	−0.143500	−	0.248550i	−0.928812	+	0.370550i	$0.879169\pi$
$44$	−1.84497	−	3.19558i	−0.278140	−	0.481752i
$45$	0.0848576	−	0.430452i	0.0126498	−	0.0641681i
$46$	6.34765	−	10.9944i	0.935910	−	1.62104i
$47$	0.905887	−	1.56904i	0.132137	−	0.228868i	−0.792363	−	0.610050i	$-0.791149\pi$
$47$	0.905887	−	1.56904i	0.132137	−	0.228868i	0.924500	+	0.381181i	$0.124483\pi$
$48$	6.01077	−	0.997660i	0.867579	−	0.144000i
$49$	−6.98712	−	0.424396i	−0.998160	−	0.0606280i
$50$	5.11215	−	8.85451i	0.722967	−	1.25222i
$51$	10.7153	−	1.77851i	1.50044	−	0.249041i
$52$	−0.443250			−0.0614677
$53$	−2.67307	+	4.62989i	−0.367174	+	0.635964i	−0.989123	−	0.147094i	$-0.953008\pi$
$53$	−2.67307	+	4.62989i	−0.367174	+	0.635964i	0.621948	+	0.783058i	$0.286341\pi$
$54$	0.321798	−	10.6662i	0.0437911	−	1.45149i
$55$	−0.243359			−0.0328145
$56$	0.0358339	−	1.18100i	0.00478850	−	0.157818i
$57$	−4.21093	+	11.2172i	−0.557751	+	1.48576i
$58$	10.1350			1.33080
$59$	2.28549	+	3.95859i	0.297546	+	0.515364i	0.975574	−	0.219672i	$-0.0704986\pi$
$59$	2.28549	+	3.95859i	0.297546	+	0.515364i	−0.678028	+	0.735036i	$0.737165\pi$
$60$	−0.197407	+	0.525861i	−0.0254851	+	0.0678883i
$61$	0.339138	−	0.587404i	0.0434221	−	0.0752094i	−0.843498	−	0.537133i	$-0.819507\pi$
$61$	0.339138	−	0.587404i	0.0434221	−	0.0752094i	0.886920	+	0.461924i	$0.152841\pi$
$62$	−5.17066			−0.656674
$63$	7.73724	+	1.77064i	0.974800	+	0.223080i
$64$	−9.63481			−1.20435
$65$	−0.0146166	+	0.0253167i	−0.00181296	+	0.00314015i
$66$	−5.83914	+	0.969173i	−0.718748	+	0.119297i
$67$	3.09342	+	5.35796i	0.377921	+	0.654579i	0.990760	−	0.135630i	$-0.0433057\pi$
$67$	3.09342	+	5.35796i	0.377921	+	0.654579i	−0.612838	+	0.790208i	$0.709972\pi$
$68$	−13.9059			−1.68634
$69$	−6.79968	−	8.27101i	−0.818586	−	0.995713i
$70$	−0.675792	−	0.417996i	−0.0807726	−	0.0499600i
$71$	1.27749			0.151611			0.0758053	−	0.997123i	$-0.475847\pi$
$71$	1.27749			0.151611			0.0758053	+	0.997123i	$0.475847\pi$
$72$	−0.259125	+	1.31445i	−0.0305382	+	0.154909i
$73$	−0.778603	+	1.34858i	−0.0911286	+	0.157839i	−0.907986	−	0.419000i	$-0.862381\pi$
$73$	−0.778603	+	1.34858i	−0.0911286	+	0.157839i	0.816858	+	0.576839i	$0.195714\pi$
$74$	14.3765			1.67123
$75$	−5.47620	−	6.66115i	−0.632337	−	0.769164i
$76$	7.66972	−	13.2843i	0.879777	−	1.52382i
$77$	0.133523	−	4.40061i	0.0152164	−	0.501496i
$78$	−0.249886	+	0.665657i	−0.0282940	+	0.0753708i
$79$	−6.39787	+	11.0814i	−0.719817	+	1.24676i	0.241255	+	0.970462i	$0.422441\pi$
$79$	−6.39787	+	11.0814i	−0.719817	+	1.24676i	−0.961072	+	0.276298i	$0.910892\pi$
$80$	−0.257231	+	0.445537i	−0.0287593	+	0.0498126i
$81$	−8.32664	−	3.41570i	−0.925183	−	0.379522i
$82$	2.38008	+	4.12241i	0.262835	+	0.455244i
$83$	3.75687	+	6.50709i	0.412370	+	0.714246i	0.995148	−	0.0983854i	$-0.0313678\pi$
$83$	3.75687	+	6.50709i	0.412370	+	0.714246i	−0.582778	+	0.812631i	$0.698034\pi$
$84$	−9.40074	−	3.85820i	−1.02570	−	0.420964i
$85$	−0.458561	+	0.794251i	−0.0497379	+	0.0861486i
$86$	3.86493			0.416766
$87$	3.00417	−	8.00262i	0.322080	−	0.857971i
$88$	0.743131			0.0792181
$89$	4.53394	+	7.85301i	0.480597	+	0.832418i	0.999752	−	0.0222619i	$-0.00708678\pi$
$89$	4.53394	+	7.85301i	0.480597	+	0.832418i	−0.519155	+	0.854680i	$0.673753\pi$
$90$	0.678430	+	0.592918i	0.0715128	+	0.0624991i
$91$	−0.449777	−	0.278199i	−0.0471494	−	0.0291632i
$92$	6.85398	+	11.8714i	0.714577	+	1.23768i
$93$	−1.53266	+	4.08275i	−0.158929	+	0.423361i
$94$	1.86037	+	3.22226i	0.191883	+	0.332350i
$95$	−0.505833	−	0.876128i	−0.0518973	−	0.0898888i
$96$	−4.94134	+	13.1629i	−0.504323	+	1.34344i
$97$	−3.98514	−	6.90246i	−0.404630	−	0.700839i	0.589649	−	0.807660i	$-0.299266\pi$
$97$	−3.98514	−	6.90246i	−0.404630	−	0.700839i	−0.994278	+	0.106821i	$0.965933\pi$
$98$	7.92933	−	11.9909i	0.800983	−	1.21126i
$99$	−0.965543	+	4.89786i	−0.0970408	+	0.492253i
$100$	5.51993	+	9.56080i	0.551993	+	0.956080i
$101$	14.8430			1.47693			0.738467	−	0.674290i	$-0.235550\pi$
$101$	14.8430			1.47693			0.738467	+	0.674290i	$0.235550\pi$
$102$	−7.83959	+	20.8834i	−0.776235	+	2.06777i
$103$	−0.203948			−0.0200956			−0.0100478	−	0.999950i	$-0.503198\pi$
$103$	−0.203948			−0.0200956			−0.0100478	+	0.999950i	$0.503198\pi$
$104$	0.0446339	−	0.0773081i	0.00437671	−	0.00758068i
$105$	−0.530363	+	0.409705i	−0.0517582	+	0.0399831i
$106$	−5.48953	−	9.50815i	−0.533191	−	0.923513i
$107$	3.48444	+	6.03524i	0.336854	+	0.583448i	0.983839	−	0.179054i	$-0.0573038\pi$
$107$	3.48444	+	6.03524i	0.336854	+	0.583448i	−0.646985	+	0.762503i	$0.723970\pi$
$108$	9.80029	+	6.05942i	0.943033	+	0.583068i
$109$	3.33058	−	5.76874i	0.319012	−	0.552545i	−0.661270	−	0.750148i	$-0.729982\pi$
$109$	3.33058	−	5.76874i	0.319012	−	0.552545i	0.980282	+	0.197603i	$0.0633157\pi$
$110$	0.249886	−	0.432816i	0.0238257	−	0.0412674i
$111$	4.26138	−	11.3516i	0.404472	−	1.07745i
$112$	−7.91544	−	4.89592i	−0.747939	−	0.462621i
$113$	−0.0193234	+	0.0334691i	−0.00181779	+	0.00314851i	−0.866933	−	0.498425i	$-0.833912\pi$
$113$	−0.0193234	+	0.0334691i	−0.00181779	+	0.00314851i	0.865115	+	0.501573i	$0.167245\pi$
$114$	−15.6261	−	19.0073i	−1.46352	−	1.78020i
$115$	0.904067			0.0843047
$116$	−5.47174	+	9.47733i	−0.508038	+	0.879948i
$117$	0.451533	+	0.394620i	0.0417442	+	0.0364826i
$118$	−9.38718			−0.864160
$119$	−14.1107	−	8.72785i	−1.29353	−	0.800081i
$120$	−0.0718382	−	0.0873827i	−0.00655790	−	0.00797692i
$121$	−8.23097			−0.748270
$122$	0.696469	+	1.20632i	0.0630553	+	0.109215i
$123$	3.96054	−	0.657366i	0.357110	−	0.0592727i
$124$	2.79155	−	4.83511i	0.250689	−	0.434206i
$125$	1.45933			0.130526
$126$	−11.0939	+	11.9426i	−0.988320	+	1.06393i
$127$	13.4788			1.19605			0.598027	−	0.801476i	$-0.295952\pi$
$127$	13.4788			1.19605			0.598027	+	0.801476i	$0.295952\pi$
$128$	1.77577	−	3.07572i	0.156957	−	0.271858i
$129$	1.14562	−	3.05175i	0.100866	−	0.268692i
$130$	−0.0300173	−	0.0519914i	−0.00263269	−	0.00455995i
$131$	−19.8333			−1.73284			−0.866422	−	0.499312i	$-0.833586\pi$
$131$	−19.8333			−1.73284			−0.866422	+	0.499312i	$0.833586\pi$
$132$	2.24617	−	5.98345i	0.195504	−	0.520793i
$133$	16.1204	−	8.66618i	1.39782	−	0.751453i
$134$	−12.7056			−1.09759
$135$	0.669264	−	0.359939i	0.0576011	−	0.0309786i
$136$	1.40028	−	2.42536i	0.120073	−	0.207973i
$137$	−6.44509			−0.550642			−0.275321	−	0.961352i	$-0.588784\pi$
$137$	−6.44509			−0.550642			−0.275321	+	0.961352i	$0.588784\pi$
$138$	21.6921	−	3.60043i	1.84656	−	0.306489i
$139$	6.26527	−	10.8518i	0.531413	−	0.920435i	−0.467914	−	0.883774i	$-0.654994\pi$
$139$	6.26527	−	10.8518i	0.531413	−	0.920435i	0.999328	−	0.0366611i	$-0.0116722\pi$
$140$	0.755719	−	0.406268i	0.0638699	−	0.0343359i
$141$	3.09573	−	0.513826i	0.260708	−	0.0432720i
$142$	−1.31176	+	2.27203i	−0.110080	+	0.190665i
$143$	0.166313	−	0.288063i	0.0139078	−	0.0240890i
$144$	7.94634	+	6.94476i	0.662195	+	0.578730i
$145$	0.360872	+	0.625048i	0.0299688	+	0.0519074i
$146$	−1.59897	−	2.76950i	−0.132332	−	0.229206i
$147$	−7.11763	−	9.81526i	−0.587052	−	0.809549i
$148$	−7.76161	+	13.4435i	−0.638000	+	1.10505i
$149$	17.7673			1.45555			0.727776	−	0.685815i	$-0.240554\pi$
$149$	17.7673			1.45555			0.727776	+	0.685815i	$0.240554\pi$
$150$	17.4700	−	2.89965i	1.42642	−	0.236756i
$151$	8.46599			0.688953			0.344476	−	0.938795i	$-0.388056\pi$
$151$	8.46599			0.688953			0.344476	+	0.938795i	$0.388056\pi$
$152$	1.54463	+	2.67538i	0.125286	+	0.217002i
$153$	14.1658	+	12.3803i	1.14524	+	1.00089i
$154$	7.68942	+	4.75612i	0.619631	+	0.383259i
$155$	−0.184108	−	0.318885i	−0.0147879	−	0.0256135i
$156$	−0.487550	−	0.593047i	−0.0390353	−	0.0474818i
$157$	−2.84968	−	4.93579i	−0.227429	−	0.393919i	0.729616	−	0.683857i	$-0.239699\pi$
$157$	−2.84968	−	4.93579i	−0.227429	−	0.393919i	−0.957045	+	0.289938i	$0.906365\pi$
$158$	−13.1390	−	22.7573i	−1.04528	−	1.81048i
$159$	−9.13481	+	1.51618i	−0.724437	+	0.120241i
$160$	−0.593572	−	1.02810i	−0.0469260	−	0.0812782i
$161$	−0.496032	+	16.3481i	−0.0390928	+	1.28841i
$162$	14.6248	−	11.3017i	1.14904	−	0.887944i
$163$	−1.06267	−	1.84060i	−0.0832349	−	0.144167i	0.821403	−	0.570349i	$-0.193192\pi$
$163$	−1.06267	−	1.84060i	−0.0832349	−	0.144167i	−0.904638	+	0.426181i	$0.859859\pi$
$164$	−5.13986			−0.401355
$165$	−0.267681	−	0.325603i	−0.0208390	−	0.0253481i
$166$	−15.4306			−1.19764
$167$	−5.78723	+	10.0238i	−0.447829	+	0.775663i	−0.998244	−	0.0592278i	$-0.981136\pi$
$167$	−5.78723	+	10.0238i	−0.447829	+	0.775663i	0.550415	+	0.834891i	$0.314470\pi$
$168$	1.61954	−	1.25109i	0.124950	−	0.0965240i
$169$	6.48002	+	11.2237i	0.498463	+	0.863364i
$170$	−0.941721	−	1.63111i	−0.0722267	−	0.125100i
$171$	−19.6400	+	6.70433i	−1.50190	+	0.512693i
$172$	−2.08661	+	3.61412i	−0.159103	+	0.275574i
$173$	7.95546	−	13.7793i	0.604842	−	1.04762i	−0.387234	−	0.921981i	$-0.626570\pi$
$173$	7.95546	−	13.7793i	0.604842	−	1.04762i	0.992076	−	0.125636i	$-0.0400971\pi$
$174$	11.1480	+	13.5602i	0.845127	+	1.02800i
$175$	−0.399485	+	13.1661i	−0.0301982	+	0.995264i
$176$	2.92688	−	5.06950i	0.220622	−	0.382128i
$177$	−2.78249	+	7.41212i	−0.209145	+	0.557129i
$178$	−18.6222			−1.39579
$179$	3.87665	−	6.71456i	0.289755	−	0.501870i	−0.683996	−	0.729485i	$-0.739760\pi$
$179$	3.87665	−	6.71456i	0.289755	−	0.501870i	0.973751	+	0.227615i	$0.0730929\pi$
$180$	−0.920714	+	0.314297i	−0.0686260	+	0.0234263i
$181$	−12.1618			−0.903982			−0.451991	−	0.892022i	$-0.649286\pi$
$181$	−12.1618			−0.903982			−0.451991	+	0.892022i	$0.649286\pi$
$182$	0.956621	−	0.514271i	0.0709095	−	0.0381203i
$183$	1.15895	−	0.192362i	0.0856722	−	0.0142198i
$184$	−2.76070			−0.203521
$185$	0.511893	+	0.886625i	0.0376351	+	0.0651860i
$186$	−5.68744	−	6.91810i	−0.417023	−	0.507260i
$187$	5.21769	−	9.03730i	0.381555	−	0.660873i
$188$	−4.01754			−0.293009
$189$	6.14150	+	12.2997i	0.446729	+	0.894670i
$190$	2.07760			0.150725
$191$	2.48383	−	4.30211i	0.179723	−	0.311290i	−0.762062	−	0.647504i	$-0.775813\pi$
$191$	2.48383	−	4.30211i	0.179723	−	0.311290i	0.941786	+	0.336214i	$0.109146\pi$
$192$	−10.5978	−	12.8909i	−0.764828	−	0.930322i
$193$	7.45221	+	12.9076i	0.536422	+	0.929110i	0.999093	+	0.0425800i	$0.0135577\pi$
$193$	7.45221	+	12.9076i	0.536422	+	0.929110i	−0.462671	+	0.886530i	$0.653109\pi$
$194$	16.3681			1.17516
$195$	−0.0499500	+	0.00829064i	−0.00357699	+	0.000593705i
$196$	6.93183	+	13.8884i	0.495131	+	0.992031i
$197$	−21.2608			−1.51477			−0.757386	−	0.652968i	$-0.773524\pi$
$197$	−21.2608			−1.51477			−0.757386	+	0.652968i	$0.773524\pi$
$198$	−7.71944	−	6.74646i	−0.548597	−	0.479450i
$199$	−9.97208	+	17.2722i	−0.706902	+	1.22439i	0.259098	+	0.965851i	$0.416575\pi$
$199$	−9.97208	+	17.2722i	−0.706902	+	1.22439i	−0.966001	+	0.258540i	$0.916759\pi$
$200$	−2.22336			−0.157215
$201$	−3.76611	+	10.0323i	−0.265641	+	0.707625i
$202$	−15.2411	+	26.3984i	−1.07236	+	1.85739i
$203$	−11.5006	+	6.18264i	−0.807186	+	0.433936i
$204$	−15.2957	−	18.6055i	−1.07092	−	1.30264i
$205$	−0.169492	+	0.293568i	−0.0118378	+	0.0205037i
$206$	0.209419	−	0.362724i	0.0145909	−	0.0252722i
$207$	3.58695	−	18.1953i	0.249310	−	1.26466i
$208$	−0.351587	−	0.608967i	−0.0243782	−	0.0422243i
$209$	5.75556	+	9.96893i	0.398121	+	0.689565i
$210$	−0.184075	−	1.36395i	−0.0127024	−	0.0941215i
$211$	11.7569	−	20.3636i	0.809381	−	1.40189i	−0.103912	−	0.994587i	$-0.533136\pi$
$211$	11.7569	−	20.3636i	0.809381	−	1.40189i	0.913293	−	0.407303i	$-0.133531\pi$
$212$	11.8548			0.814193
$213$	1.40517	+	1.70923i	0.0962808	+	0.117114i
$214$	−14.3116			−0.978323
$215$	0.137616	+	0.238358i	0.00938535	+	0.0162559i
$216$	−2.04370	+	1.09912i	−0.139056	+	0.0747860i
$217$	5.86735	−	3.15424i	0.398302	−	0.214123i
$218$	6.83983	+	11.8469i	0.463252	+	0.802376i
$219$	−2.66076	+	0.441629i	−0.179797	+	0.0298425i
$220$	0.269819	+	0.467340i	0.0181912	+	0.0315081i
$221$	−0.626768	−	1.08559i	−0.0421610	−	0.0730250i
$222$	15.8133	+	19.2350i	1.06132	+	1.29097i
$223$	2.03052	+	3.51696i	0.135974	+	0.235513i	0.925969	−	0.377600i	$-0.123250\pi$
$223$	2.03052	+	3.51696i	0.135974	+	0.235513i	−0.789995	+	0.613113i	$0.789917\pi$
$224$	18.9166	−	10.1694i	1.26392	−	0.679470i
$225$	2.88879	−	14.6538i	0.192586	−	0.976921i
$226$	−0.0396834	−	0.0687336i	−0.00263970	−	0.00457209i
$227$	−3.85285			−0.255723			−0.127861	−	0.991792i	$-0.540811\pi$
$227$	−3.85285			−0.255723			−0.127861	+	0.991792i	$0.540811\pi$
$228$	26.2101	−	4.35032i	1.73581	−	0.288107i
$229$	13.1162			0.866746			0.433373	−	0.901215i	$-0.357323\pi$
$229$	13.1162			0.866746			0.433373	+	0.901215i	$0.357323\pi$
$230$	−0.928316	+	1.60789i	−0.0612113	+	0.106021i
$231$	6.03468	−	4.66179i	0.397053	−	0.306723i
$232$	−1.10197	−	1.90868i	−0.0723481	−	0.125311i
$233$	−8.75115	−	15.1574i	−0.573307	−	0.992997i	−0.996223	−	0.0868284i	$-0.972327\pi$
$233$	−8.75115	−	15.1574i	−0.573307	−	0.992997i	0.422916	−	0.906169i	$-0.361007\pi$
$234$	−1.16548	+	0.397850i	−0.0761898	+	0.0260083i
$235$	−0.132482	+	0.229466i	−0.00864218	+	0.0149687i
$236$	5.06798	−	8.77801i	0.329898	−	0.571400i
$237$	−21.8638	+	3.62892i	−1.42020	+	0.235724i
$238$	30.0117	−	16.1340i	1.94537	−	1.04581i
$239$	3.65857	−	6.33683i	0.236653	−	0.409895i	−0.723099	−	0.690745i	$-0.757283\pi$
$239$	3.65857	−	6.33683i	0.236653	−	0.409895i	0.959752	+	0.280849i	$0.0906161\pi$
$240$	−0.879049	+	0.145903i	−0.0567423	+	0.00941803i
$241$	6.23107			0.401378			0.200689	−	0.979655i	$-0.435682\pi$
$241$	6.23107			0.401378			0.200689	+	0.979655i	$0.435682\pi$
$242$	8.45174	−	14.6389i	0.543299	−	0.941021i
$243$	−4.58880	−	14.8977i	−0.294372	−	0.955691i
$244$	−1.50405			−0.0962868
$245$	1.02184	+	0.0620661i	0.0652827	+	0.00396526i
$246$	−2.89764	+	7.71886i	−0.184747	+	0.492137i
$247$	1.38276			0.0879829
$248$	0.562201	+	0.973761i	0.0356998	+	0.0618339i
$249$	−4.57383	+	12.1840i	−0.289855	+	0.772127i
$250$	−1.49847	+	2.59543i	−0.0947717	+	0.164149i
$251$	5.65283			0.356803			0.178402	−	0.983958i	$-0.442907\pi$
$251$	5.65283			0.356803			0.178402	+	0.983958i	$0.442907\pi$
$252$	−5.17821	−	16.8216i	−0.326196	−	1.05966i
$253$	−10.2868			−0.646727
$254$	−13.8404	+	23.9722i	−0.868422	+	1.50415i
$255$	−1.56706	+	0.260099i	−0.0981333	+	0.0162880i
$256$	−5.98801	−	10.3715i	−0.374250	−	0.648221i
$257$	11.8016			0.736166			0.368083	−	0.929793i	$-0.380014\pi$
$257$	11.8016			0.736166			0.368083	+	0.929793i	$0.380014\pi$
$258$	4.25121	+	5.17110i	0.264669	+	0.321939i
$259$	−16.3135	+	8.77001i	−1.01367	+	0.544942i
$260$	0.0648233			0.00402017
$261$	14.0116	−	4.78301i	0.867293	−	0.296061i
$262$	20.3653	−	35.2737i	1.25817	−	2.17922i
$263$	−22.2401			−1.37138			−0.685691	−	0.727893i	$-0.740500\pi$
$263$	−22.2401			−1.37138			−0.685691	+	0.727893i	$0.740500\pi$
$264$	0.817404	+	0.994275i	0.0503077	+	0.0611934i
$265$	0.390925	−	0.677101i	0.0240143	−	0.0415940i
$266$	−1.13991	+	37.5689i	−0.0698925	+	2.30350i
$267$	−5.51988	+	14.7041i	−0.337811	+	0.899876i
$268$	6.85953	−	11.8810i	0.419012	−	0.725750i
$269$	−1.19442	+	2.06880i	−0.0728251	+	0.126137i	−0.900138	−	0.435604i	$-0.856535\pi$
$269$	−1.19442	+	2.06880i	−0.0728251	+	0.126137i	0.827313	+	0.561741i	$0.189868\pi$
$270$	−0.0470615	+	1.55989i	−0.00286407	+	0.0949316i
$271$	−11.6129	−	20.1142i	−0.705435	−	1.22185i	−0.966534	−	0.256537i	$-0.917419\pi$
$271$	−11.6129	−	20.1142i	−0.705435	−	1.22185i	0.261100	−	0.965312i	$-0.415915\pi$
$272$	−11.0302	−	19.1049i	−0.668806	−	1.15841i
$273$	−0.122512	−	0.907785i	−0.00741478	−	0.0549417i
$274$	6.61797	−	11.4627i	0.399806	−	0.692484i
$275$	−8.28461			−0.499581
$276$	−8.34444	+	22.2283i	−0.502276	+	1.33798i
$277$	−4.61800			−0.277469			−0.138734	−	0.990330i	$-0.544303\pi$
$277$	−4.61800			−0.277469			−0.138734	+	0.990330i	$0.544303\pi$
$278$	12.8666	+	22.2857i	0.771690	+	1.33661i
$279$	−7.14837	+	2.44018i	−0.427962	+	0.146090i
$280$	−0.00524055	+	0.172716i	−0.000313183	+	0.0103218i
$281$	5.90841	+	10.2337i	0.352466	+	0.610489i	0.986681	−	0.162668i	$-0.0520098\pi$
$281$	5.90841	+	10.2337i	0.352466	+	0.610489i	−0.634215	+	0.773157i	$0.718676\pi$
$282$	−2.26492	+	6.03340i	−0.134874	+	0.359284i
$283$	−7.92483	−	13.7262i	−0.471082	−	0.815939i	0.528370	−	0.849014i	$-0.322803\pi$
$283$	−7.92483	−	13.7262i	−0.471082	−	0.815939i	−0.999453	+	0.0330753i	$0.989470\pi$
$284$	−1.41639	−	2.45327i	−0.0840475	−	0.145575i
$285$	0.615830	−	1.64047i	0.0364786	−	0.0971733i
$286$	0.341548	+	0.591579i	0.0201962	+	0.0349808i
$287$	−5.21555	−	3.22596i	−0.307864	−	0.190422i
$288$	−23.0466	+	7.86723i	−1.35803	+	0.463581i
$289$	−11.1634	−	19.3355i	−0.656669	−	1.13738i
$290$	−1.48220			−0.0870381
$291$	4.85174	−	12.9243i	0.284414	−	0.757634i
$292$	3.45304			0.202074
$293$	7.04804	−	12.2076i	0.411751	−	0.713173i	−0.583330	−	0.812235i	$-0.698251\pi$
$293$	7.04804	−	12.2076i	0.411751	−	0.713173i	0.995081	+	0.0990615i	$0.0315841\pi$
$294$	24.7651	−	2.58024i	1.44433	−	0.150483i
$295$	−0.334243	−	0.578927i	−0.0194604	−	0.0337064i
$296$	−1.56314	−	2.70744i	−0.0908557	−	0.157367i
$297$	−7.61515	+	4.09552i	−0.441876	+	0.237646i
$298$	−18.2438	+	31.5993i	−1.05684	+	1.83050i
$299$	−0.617846	+	1.07014i	−0.0357310	+	0.0618878i
$300$	−6.72029	+	17.9018i	−0.387996	+	1.03356i
$301$	−4.38569	+	2.35771i	−0.252787	+	0.135896i
$302$	−8.69307	+	15.0568i	−0.500230	+	0.866424i
$303$	16.3265	+	19.8592i	0.937932	+	1.14088i
$304$	24.3346			1.39569
$305$	−0.0495974	+	0.0859053i	−0.00283994	+	0.00491892i
$306$	−36.5642	+	12.4816i	−2.09024	+	0.713526i
$307$	27.3916			1.56332			0.781660	−	0.623704i	$-0.214373\pi$
$307$	27.3916			1.56332			0.781660	+	0.623704i	$0.214373\pi$
$308$	−8.59887	+	4.62267i	−0.489966	+	0.263401i
$309$	−0.224332	−	0.272873i	−0.0127618	−	0.0155232i
$310$	0.756186			0.0429485
$311$	7.02785	+	12.1726i	0.398513	+	0.690244i	0.993543	−	0.113459i	$-0.0361931\pi$
$311$	7.02785	+	12.1726i	0.398513	+	0.690244i	−0.595030	+	0.803704i	$0.702860\pi$
$312$	0.152529	−	0.0253167i	0.00863528	−	0.00143327i
$313$	−10.8723	+	18.8314i	−0.614540	+	1.06441i	0.375925	+	0.926650i	$0.377325\pi$
$313$	−10.8723	+	18.8314i	−0.614540	+	1.06441i	−0.990465	+	0.137764i	$0.956008\pi$
$314$	11.7045			0.660520
$315$	−1.13154	−	0.258948i	−0.0637549	−	0.0145901i
$316$	28.3740			1.59616
$317$	−4.28148	+	7.41575i	−0.240472	+	0.416510i	−0.960849	−	0.277073i	$-0.910636\pi$
$317$	−4.28148	+	7.41575i	−0.240472	+	0.416510i	0.720377	+	0.693583i	$0.243969\pi$
$318$	6.68328	−	17.8032i	0.374780	−	0.998353i
$319$	−4.10614	−	7.11204i	−0.229900	−	0.398198i
$320$	1.40905			0.0787682
$321$	−4.24217	+	11.3005i	−0.236775	+	0.630730i
$322$	−28.5659	−	17.6688i	−1.59191	−	0.984642i
$323$	43.3808			2.41377
$324$	2.67256	+	19.7774i	0.148476	+	1.09874i
$325$	−0.497589	+	0.861850i	−0.0276013	+	0.0478068i
$326$	4.36471			0.241739
$327$	11.3818	−	1.88913i	0.629413	−	0.104469i
$328$	0.517568	−	0.896453i	0.0285779	−	0.0494984i
$329$	−4.07670	−	2.52155i	−0.224756	−	0.139018i
$330$	0.853949	−	0.141737i	0.0470083	−	0.00780239i
$331$	−5.42360	+	9.39396i	−0.298108	+	0.516339i	−0.975703	−	0.219097i	$-0.929689\pi$
$331$	−5.42360	+	9.39396i	−0.298108	+	0.516339i	0.677595	+	0.735435i	$0.263022\pi$
$332$	8.33070	−	14.4292i	0.457207	−	0.791905i
$333$	19.8753	−	6.78465i	1.08916	−	0.371797i
$334$	−11.8849	−	20.5853i	−0.650314	−	1.12638i
$335$	−0.452399	−	0.783578i	−0.0247172	−	0.0428114i
$336$	−2.15604	−	15.9757i	−0.117622	−	0.871548i
$337$	1.67411	−	2.89964i	0.0911945	−	0.157954i	−0.816819	−	0.576893i	$-0.804265\pi$
$337$	1.67411	−	2.89964i	0.0911945	−	0.157954i	0.908014	+	0.418940i	$0.137598\pi$
$338$	−26.6153			−1.44768
$339$	−0.0660347	+	0.0109604i	−0.00358651	+	0.000595285i
$340$	2.03368			0.110292
$341$	2.09486	+	3.62840i	0.113443	+	0.196489i
$342$	8.24304	−	41.8140i	0.445732	−	2.26104i
$343$	−1.68298	+	18.4436i	−0.0908723	+	0.995863i
$344$	−0.420231	−	0.727861i	−0.0226573	−	0.0392437i
$345$	0.994424	+	1.20960i	0.0535380	+	0.0651226i
$346$	16.3377	+	28.2977i	0.878319	+	1.52129i
$347$	5.76652	+	9.98790i	0.309563	+	0.536178i	0.978267	−	0.207350i	$-0.0664840\pi$
$347$	5.76652	+	9.98790i	0.309563	+	0.536178i	−0.668704	+	0.743529i	$0.733151\pi$
$348$	−18.6988	+	3.10361i	−1.00236	+	0.166371i
$349$	−4.44917	−	7.70619i	−0.238159	−	0.412503i	0.722027	−	0.691865i	$-0.243211\pi$
$349$	−4.44917	−	7.70619i	−0.238159	−	0.412503i	−0.960186	+	0.279362i	$0.909877\pi$
$350$	−23.0058	−	14.2297i	−1.22971	−	0.760612i
$351$	−0.0313221	+	1.03819i	−0.00167185	+	0.0554145i
$352$	6.75390	+	11.6981i	0.359984	+	0.623511i
$353$	−2.64699			−0.140885			−0.0704424	−	0.997516i	$-0.522441\pi$
$353$	−2.64699			−0.140885			−0.0704424	+	0.997516i	$0.522441\pi$
$354$	−10.3254	−	12.5596i	−0.548788	−	0.667536i
$355$	−0.186828			−0.00991579
$356$	10.0538	−	17.4137i	0.532852	−	0.922926i
$357$	−3.84353	−	28.4796i	−0.203421	−	1.50730i
$358$	7.96127	+	13.7893i	0.420766	+	0.728789i
$359$	−12.9835	−	22.4882i	−0.685245	−	1.18688i	−0.973360	−	0.229284i	$-0.926362\pi$
$359$	−12.9835	−	22.4882i	−0.685245	−	1.18688i	0.288114	−	0.957596i	$-0.406972\pi$
$360$	0.0378959	−	0.192232i	0.00199729	−	0.0101315i
$361$	−14.4264	+	24.9873i	−0.759286	+	1.31512i
$362$	12.4880	−	21.6299i	0.656357	−	1.13684i
$363$	−9.05362	−	11.0127i	−0.475192	−	0.578014i
$364$	−0.0355664	+	1.17219i	−0.00186419	+	0.0614394i
$365$	0.113867	−	0.197224i	0.00596009	−	0.0103232i
$366$	−0.847922	+	2.25873i	−0.0443216	+	0.118066i
$367$	17.5874			0.918056			0.459028	−	0.888422i	$-0.348198\pi$
$367$	17.5874			0.918056			0.459028	+	0.888422i	$0.348198\pi$
$368$	−10.8732	+	18.8330i	−0.566806	+	0.981736i
$369$	5.23591	+	4.57596i	0.272570	+	0.238215i
$370$	−2.10249			−0.109303
$371$	12.0294	+	7.44052i	0.624536	+	0.386293i
$372$	9.53971	−	1.58339i	0.494611	−	0.0820950i
$373$	0.815075			0.0422030			0.0211015	−	0.999777i	$-0.493283\pi$
$373$	0.815075			0.0422030			0.0211015	+	0.999777i	$0.493283\pi$
$374$	10.7153	+	18.5594i	0.554074	+	0.959684i
$375$	1.60518	+	1.95251i	0.0828912	+	0.100827i
$376$	0.404553	−	0.700707i	0.0208632	−	0.0361362i
$377$	−0.986490			−0.0508068
$378$	−28.1813	−	1.70686i	−1.44949	−	0.0877916i
$379$	−20.4312			−1.04948			−0.524741	−	0.851262i	$-0.675838\pi$
$379$	−20.4312			−1.04948			−0.524741	+	0.851262i	$0.675838\pi$
$380$	−1.12166	+	1.94278i	−0.0575401	+	0.0996624i
$381$	14.8260	+	18.0341i	0.759558	+	0.923913i
$382$	5.10090	+	8.83501i	0.260985	+	0.452039i
$383$	17.8928			0.914278			0.457139	−	0.889395i	$-0.348874\pi$
$383$	17.8928			0.914278			0.457139	+	0.889395i	$0.348874\pi$
$384$	6.06843	−	1.00723i	0.309678	−	0.0514000i
$385$	−0.0195272	+	0.643571i	−0.000995196	+	0.0327994i
$386$	−30.6084			−1.55793
$387$	5.34322	−	1.82397i	0.271611	−	0.0927177i
$388$	−8.83688	+	15.3059i	−0.448625	+	0.777041i
$389$	15.6278			0.792363			0.396181	−	0.918172i	$-0.370335\pi$
$389$	15.6278			0.792363			0.396181	+	0.918172i	$0.370335\pi$
$390$	0.0365448	−	0.0973495i	0.00185052	−	0.00492948i
$391$	−19.3835	+	33.5731i	−0.980264	+	1.69787i
$392$	−3.12033	−	0.189528i	−0.157600	−	0.00957260i
$393$	−21.8156	−	26.5360i	−1.10045	−	1.33857i
$394$	21.8311	−	37.8126i	1.09984	−	1.90497i
$395$	0.935661	−	1.62061i	0.0470782	−	0.0815419i
$396$	10.4763	−	3.57619i	0.526451	−	0.179710i
$397$	9.63064	+	16.6808i	0.483348	+	0.837183i	0.999817	−	0.0191225i	$-0.00608724\pi$
$397$	9.63064	+	16.6808i	0.483348	+	0.837183i	−0.516469	+	0.856306i	$0.672754\pi$
$398$	−20.4791	−	35.4709i	−1.02653	−	1.77799i
$399$	29.3265	+	12.0360i	1.46816	+	0.602555i
$400$	−8.75687	+	15.1673i	−0.437843	+	0.758367i
$401$	14.3013			0.714172			0.357086	−	0.934072i	$-0.383770\pi$
$401$	14.3013			0.714172			0.357086	+	0.934072i	$0.383770\pi$
$402$	−13.9754	−	16.9995i	−0.697031	−	0.847856i
$403$	0.503284			0.0250704
$404$	−16.4569	−	28.5041i	−0.818760	−	1.41813i
$405$	1.21774	+	0.499532i	0.0605098	+	0.0248219i
$406$	0.813237	−	26.8024i	0.0403603	−	1.33018i
$407$	−5.82452	−	10.0884i	−0.288711	−	0.500062i
$408$	4.78525	−	0.794251i	0.236905	−	0.0393213i
$409$	−15.9305	−	27.5924i	−0.787712	−	1.36436i	−0.927366	−	0.374156i	$-0.877932\pi$
$409$	−15.9305	−	27.5924i	−0.787712	−	1.36436i	0.139654	−	0.990200i	$-0.455401\pi$
$410$	−0.348076	−	0.602885i	−0.0171902	−	0.0297744i
$411$	−7.08925	−	8.62324i	−0.349687	−	0.425353i
$412$	0.226124	+	0.391657i	0.0111403	+	0.0192956i
$413$	10.6520	−	5.72643i	0.524151	−	0.281779i
$414$	28.6774	+	25.0628i	1.40942	+	1.23177i
$415$	−0.549426	−	0.951633i	−0.0269702	−	0.0467138i
$416$	1.62261			0.0795549
$417$	21.4106	−	3.55371i	1.04848	−	0.174026i
$418$	−23.6398			−1.15626
$419$	11.9480	−	20.6945i	0.583697	−	1.01099i	−0.411339	−	0.911482i	$-0.634939\pi$
$419$	11.9480	−	20.6945i	0.583697	−	1.01099i	0.995036	−	0.0995110i	$-0.0317278\pi$
$420$	1.37482	+	0.564245i	0.0670842	+	0.0275323i
$421$	−1.22251	−	2.11744i	−0.0595813	−	0.103198i	0.834696	−	0.550711i	$-0.185643\pi$
$421$	−1.22251	−	2.11744i	−0.0595813	−	0.103198i	−0.894278	+	0.447513i	$0.852310\pi$
$422$	24.1446	+	41.8197i	1.17534	+	2.03575i
$423$	4.09261	+	3.57677i	0.198990	+	0.173908i
$424$	−1.19375	+	2.06763i	−0.0579734	+	0.100413i
$425$	−15.6107	+	27.0385i	−0.757230	+	1.31156i
$426$	−4.48274	+	0.744039i	−0.217189	+	0.0360488i
$427$	−1.52620	−	0.943995i	−0.0738579	−	0.0456831i
$428$	7.72661	−	13.3829i	0.373480	−	0.646886i
$429$	0.568350	−	0.0943341i	0.0274402	−	0.00455449i
$430$	−0.565230			−0.0272578
$431$	2.46382	−	4.26746i	0.118678	−	0.205556i	−0.800566	−	0.599244i	$-0.795468\pi$
$431$	2.46382	−	4.26746i	0.118678	−	0.205556i	0.919244	+	0.393688i	$0.128801\pi$
$432$	−0.551224	+	18.2707i	−0.0265208	+	0.879049i
$433$	30.8539			1.48274			0.741371	−	0.671095i	$-0.234176\pi$
$433$	30.8539			1.48274			0.741371	+	0.671095i	$0.234176\pi$
$434$	−0.414895	+	13.6740i	−0.0199156	+	0.656372i
$435$	−0.439346	+	1.17035i	−0.0210650	+	0.0561139i
$436$	−14.7709			−0.707395
$437$	−21.3817	−	37.0341i	−1.02282	−	1.77158i
$438$	1.94668	−	5.18566i	0.0930162	−	0.247780i
$439$	−1.22411	+	2.12022i	−0.0584235	+	0.101192i	−0.893758	−	0.448550i	$-0.851941\pi$
$439$	−1.22411	+	2.12022i	−0.0584235	+	0.101192i	0.835334	+	0.549742i	$0.185274\pi$
$440$	−0.108680			−0.00518110
$441$	5.30336	−	20.3193i	0.252541	−	0.967586i
$442$	2.57432			0.122448
$443$	13.1475	−	22.7722i	0.624657	−	1.08194i	−0.363950	−	0.931419i	$-0.618572\pi$
$443$	13.1475	−	22.7722i	0.624657	−	1.08194i	0.988607	−	0.150520i	$-0.0480946\pi$
$444$	−26.5241	+	4.40244i	−1.25878	+	0.208931i
$445$	−0.663069	−	1.14847i	−0.0314325	−	0.0544427i
$446$	−8.33993			−0.394907
$447$	19.5430	+	23.7718i	0.924354	+	1.12437i
$448$	−0.773099	+	25.4796i	−0.0365255	+	1.20380i
$449$	−38.7077			−1.82673			−0.913365	−	0.407141i	$-0.866526\pi$
$449$	−38.7077			−1.82673			−0.913365	+	0.407141i	$0.866526\pi$
$450$	23.0957	+	20.1846i	1.08874	+	0.951511i
$451$	1.92854	−	3.34034i	0.0908116	−	0.157290i
$452$	0.0856976			0.00403087
$453$	9.31213	+	11.3271i	0.437522	+	0.532194i
$454$	3.95620	−	6.85233i	0.185673	−	0.321596i
$455$	0.0657779	+	0.0406855i	0.00308372	+	0.00190736i
$456$	−1.88053	+	5.00943i	−0.0880638	+	0.234588i
$457$	4.57756	−	7.92856i	0.214129	−	0.370882i	−0.738874	−	0.673844i	$-0.764642\pi$
$457$	4.57756	−	7.92856i	0.214129	−	0.370882i	0.953003	+	0.302961i	$0.0979754\pi$
$458$	−13.4681	+	23.3274i	−0.629321	+	1.09002i
$459$	−0.982656	+	32.5708i	−0.0458665	+	1.52027i
$460$	−1.00237	−	1.73615i	−0.0467355	−	0.0809483i
$461$	14.6152	+	25.3143i	0.680698	+	1.17900i	0.974768	+	0.223220i	$0.0716568\pi$
$461$	14.6152	+	25.3143i	0.680698	+	1.17900i	−0.294070	+	0.955784i	$0.595010\pi$
$462$	2.09448	+	15.5196i	0.0974439	+	0.722036i
$463$	−8.21031	+	14.2207i	−0.381565	+	0.660891i	−0.991286	−	0.131726i	$-0.957948\pi$
$463$	−8.21031	+	14.2207i	−0.381565	+	0.660891i	0.609721	+	0.792616i	$0.291282\pi$
$464$	−17.3608			−0.805956
$465$	0.224144	−	0.597084i	0.0103944	−	0.0276891i
$466$	35.9435			1.66505
$467$	7.68632	+	13.3131i	0.355680	+	0.616057i	0.987234	−	0.159276i	$-0.0509158\pi$
$467$	7.68632	+	13.3131i	0.355680	+	0.616057i	−0.631554	+	0.775332i	$0.717582\pi$
$468$	0.257191	−	1.30464i	0.0118887	−	0.0603070i
$469$	14.4175	−	7.75073i	0.665739	−	0.357895i
$470$	−0.272071	−	0.471241i	−0.0125497	−	0.0217367i
$471$	3.46936	−	9.24183i	0.159860	−	0.425841i
$472$	1.02066	+	1.76784i	0.0469797	+	0.0813713i
$473$	−1.56585	−	2.71213i	−0.0719979	−	0.124704i
$474$	15.9961	−	42.6112i	0.734727	−	1.95720i
$475$	−17.2200	−	29.8259i	−0.790106	−	1.36850i
$476$	−1.11581	+	36.7747i	−0.0511432	+	1.68556i
$477$	−12.0764	−	10.5542i	−0.552939	−	0.483245i
$478$	7.51341	+	13.0136i	0.343655	+	0.595228i
$479$	−37.9291			−1.73303			−0.866513	−	0.499155i	$-0.833644\pi$
$479$	−37.9291			−1.73303			−0.866513	+	0.499155i	$0.833644\pi$
$480$	0.722649	−	1.92502i	0.0329843	−	0.0878649i
$481$	−1.39933			−0.0638038
$482$	−6.39820	+	11.0820i	−0.291430	+	0.504772i
$483$	−22.4186	+	17.3183i	−1.02008	+	0.788011i
$484$	9.12591	+	15.8065i	0.414814	+	0.718479i
$485$	0.582809	+	1.00946i	0.0264640	+	0.0458370i
$486$	31.2077	+	7.13612i	1.41561	+	0.323701i
$487$	2.30247	−	3.98800i	0.104335	−	0.180714i	−0.809131	−	0.587628i	$-0.800062\pi$
$487$	2.30247	−	3.98800i	0.104335	−	0.180714i	0.913466	+	0.406914i	$0.133395\pi$
$488$	0.151453	−	0.262324i	0.00685595	−	0.0118749i
$489$	1.29376	−	3.44637i	0.0585058	−	0.155850i
$490$	−1.15963	+	1.75361i	−0.0523867	+	0.0792202i
$491$	−15.1876	+	26.3056i	−0.685405	+	1.18716i	0.287904	+	0.957659i	$0.407042\pi$
$491$	−15.1876	+	26.3056i	−0.685405	+	1.18716i	−0.973309	+	0.229497i	$0.926292\pi$
$492$	−5.65356	−	6.87689i	−0.254882	−	0.310034i
$493$	−30.9488			−1.39386
$494$	−1.41985	+	2.45925i	−0.0638820	+	0.110647i
$495$	0.141207	−	0.716290i	0.00634676	−	0.0321949i
$496$	8.85709			0.397695
$497$	0.102506	−	3.37837i	0.00459804	−	0.151541i
$498$	−16.9728	−	20.6454i	−0.760568	−	0.925141i
$499$	9.26871			0.414925			0.207462	−	0.978243i	$-0.433480\pi$
$499$	9.26871			0.414925			0.207462	+	0.978243i	$0.433480\pi$
$500$	−1.61800	−	2.80246i	−0.0723592	−	0.125330i
$501$	−19.7770	+	3.28256i	−0.883571	+	0.146654i
$502$	−5.80445	+	10.0536i	−0.259065	+	0.448715i
$503$	−22.4230			−0.999791			−0.499896	−	0.866086i	$-0.666628\pi$
$503$	−22.4230			−0.999791			−0.499896	+	0.866086i	$0.666628\pi$
$504$	3.45531	+	0.790737i	0.153912	+	0.0352222i
$505$	−2.17072			−0.0965960
$506$	10.5627	−	18.2952i	0.469571	−	0.813321i
$507$	−7.88916	+	21.0155i	−0.350370	+	0.933329i
$508$	−14.9444	−	25.8844i	−0.663050	−	1.14844i
$509$	−37.6414			−1.66843			−0.834213	−	0.551443i	$-0.814077\pi$
$509$	−37.6414			−1.66843			−0.834213	+	0.551443i	$0.814077\pi$
$510$	1.14651	−	3.05411i	0.0507682	−	0.135238i
$511$	3.50389	+	2.16725i	0.155003	+	0.0958736i
$512$	31.6976			1.40085
$513$	−30.5730	−	18.9030i	−1.34983	−	0.834586i
$514$	−12.1182	+	20.9893i	−0.534511	+	0.925800i
$515$	0.0298266			0.00131432
$516$	−7.13069	+	1.18354i	−0.313911	+	0.0521026i
$517$	1.50743	−	2.61095i	0.0662969	−	0.114830i
$518$	1.15357	−	38.0190i	0.0506849	−	1.67046i
$519$	27.1866	−	4.51240i	1.19336	−	0.198072i
$520$	−0.00652751	+	0.0113060i	−0.000286250	+	0.000495800i
$521$	17.4641	−	30.2488i	0.765117	−	1.32522i	−0.175067	−	0.984556i	$-0.556014\pi$
$521$	17.4641	−	30.2488i	0.765117	−	1.32522i	0.940185	−	0.340666i	$-0.110652\pi$
$522$	−5.88075	+	29.8310i	−0.257394	+	1.30567i
$523$	−11.8735	−	20.5656i	−0.519194	−	0.899270i	−0.999751	−	0.0223069i	$-0.992899\pi$
$523$	−11.8735	−	20.5656i	−0.519194	−	0.899270i	0.480557	−	0.876963i	$-0.340434\pi$
$524$	21.9898	+	38.0874i	0.960628	+	1.66386i
$525$	−18.0551	+	13.9475i	−0.787987	+	0.608719i
$526$	22.8366	−	39.5542i	0.995723	−	1.72464i
$527$	15.7894			0.687795
$528$	10.0022	−	1.66015i	0.435288	−	0.0722486i
$529$	15.2151			0.661526
$530$	0.802820	+	1.39053i	0.0348723	+	0.0604006i
$531$	−12.9777	+	4.43008i	−0.563182	+	0.192249i
$532$	−34.5155	−	21.3488i	−1.49644	−	0.925587i
$533$	−0.231664	−	0.401254i	−0.0100345	−	0.0173802i
$534$	−20.4834	−	24.9157i	−0.886404	−	1.07821i
$535$	−0.509585	−	0.882627i	−0.0220313	−	0.0381593i
$536$	1.38147	+	2.39277i	0.0596702	+	0.103352i
$537$	13.2479	−	2.19887i	0.571688	−	0.0948882i
$538$	−2.45292	−	4.24857i	−0.105753	−	0.183169i
$539$	−11.6269	−	0.706212i	−0.500804	−	0.0304187i
$540$	−1.43325	−	0.886164i	−0.0616773	−	0.0381344i
$541$	8.58542	+	14.8704i	0.369116	+	0.639328i	0.989428	−	0.145028i	$-0.0463271\pi$
$541$	8.58542	+	14.8704i	0.369116	+	0.639328i	−0.620311	+	0.784356i	$0.712994\pi$
$542$	47.6976			2.04879
$543$	−13.3774	−	16.2720i	−0.574077	−	0.698297i
$544$	50.9055			2.18255
$545$	−0.487083	+	0.843653i	−0.0208643	+	0.0361381i
$546$	1.74030	+	0.714245i	0.0744781	+	0.0305669i
$547$	−10.0046	−	17.3284i	−0.427765	−	0.740910i	0.568910	−	0.822400i	$-0.307365\pi$
$547$	−10.0046	−	17.3284i	−0.427765	−	0.740910i	−0.996674	+	0.0814901i	$0.974032\pi$
$548$	7.14586	+	12.3770i	0.305256	+	0.528719i
$549$	1.53215	+	1.33904i	0.0653908	+	0.0571487i
$550$	8.50683	−	14.7343i	0.362732	−	0.628271i
$551$	17.0696	−	29.5654i	0.727190	−	1.25953i
$552$	−3.03662	−	3.69369i	−0.129247	−	0.157214i
$553$	28.7919	+	17.8086i	1.22436	+	0.757297i
$554$	4.74187	−	8.21316i	0.201463	−	0.348944i
$555$	−0.623209	+	1.66013i	−0.0264537	+	0.0704685i
$556$	−27.7860			−1.17839
$557$	−0.122740	+	0.212593i	−0.00520068	+	0.00900784i	−0.868614	−	0.495489i	$-0.834989\pi$
$557$	−0.122740	+	0.212593i	−0.00520068	+	0.00900784i	0.863413	+	0.504497i	$0.168322\pi$
$558$	3.00022	−	15.2191i	0.127010	−	0.644274i
$559$	−0.376192			−0.0159112
$560$	1.15760	+	0.716007i	0.0489175	+	0.0302568i
$561$	17.8307	−	2.95951i	0.752811	−	0.124951i
$562$	−24.2676			−1.02367
$563$	22.1255	+	38.3224i	0.932477	+	1.61510i	0.779073	+	0.626934i	$0.215690\pi$
$563$	22.1255	+	38.3224i	0.932477	+	1.61510i	0.153404	+	0.988164i	$0.450976\pi$
$564$	−4.41907	−	5.37528i	−0.186076	−	0.226340i
$565$	0.00282596	−	0.00489471i	0.000118889	−	0.000205922i
$566$	32.5496			1.36816
$567$	−9.70107	+	21.7460i	−0.407407	+	0.913247i
$568$	0.570506			0.0239379
$569$	2.76767	−	4.79374i	0.116027	−	0.200964i	−0.802163	−	0.597105i	$-0.796318\pi$
$569$	2.76767	−	4.79374i	0.116027	−	0.200964i	0.918190	+	0.396141i	$0.129651\pi$
$570$	2.28525	+	2.77974i	0.0957185	+	0.116430i
$571$	2.05191	+	3.55400i	0.0858696	+	0.148730i	0.905761	−	0.423788i	$-0.139300\pi$
$571$	2.05191	+	3.55400i	0.0858696	+	0.148730i	−0.819892	+	0.572518i	$0.805966\pi$
$572$	−0.737585			−0.0308400
$573$	8.48810	−	1.40884i	0.354595	−	0.0588553i
$574$	11.0928	−	5.96341i	0.463006	−	0.248908i
$575$	30.7770			1.28349
$576$	5.59050	−	28.3586i	0.232938	−	1.18161i
$577$	−2.82275	+	4.88915i	−0.117513	+	0.203538i	−0.918781	−	0.394767i	$-0.870825\pi$
$577$	−2.82275	+	4.88915i	−0.117513	+	0.203538i	0.801269	+	0.598305i	$0.204159\pi$
$578$	45.8512			1.90716
$579$	−9.07276	+	24.1684i	−0.377051	+	1.00440i
$580$	0.800218	−	1.38602i	0.0332272	−	0.0575513i
$581$	17.5097	−	9.41304i	0.726423	−	0.390519i
$582$	18.0040	+	21.8998i	0.746292	+	0.907776i
$583$	−4.44809	+	7.70433i	−0.184221	+	0.319081i
$584$	−0.347710	+	0.602252i	−0.0143884	+	0.0249214i
$585$	−0.0660347	−	0.0577115i	−0.00273020	−	0.00238608i
$586$	14.4742	+	25.0700i	0.597923	+	1.03563i
$587$	9.36644	+	16.2232i	0.386595	+	0.669601i	0.991989	−	0.126324i	$-0.0403180\pi$
$587$	9.36644	+	16.2232i	0.386595	+	0.669601i	−0.605394	+	0.795926i	$0.706985\pi$
$588$	−10.9575	+	24.5510i	−0.451878	+	1.01247i
$589$	−8.70852	+	15.0836i	−0.358828	+	0.621509i
$590$	1.37283			0.0565187
$591$	−23.3858	−	28.4460i	−0.961962	−	1.17011i
$592$	−24.6262			−1.01213
$593$	−9.43516	−	16.3422i	−0.387456	−	0.671093i	0.604651	−	0.796491i	$-0.293313\pi$
$593$	−9.43516	−	16.3422i	−0.387456	−	0.671093i	−0.992107	+	0.125398i	$0.959979\pi$
$594$	0.535484	−	17.7490i	0.0219712	−	0.728250i
$595$	2.06363	+	1.27641i	0.0846005	+	0.0523277i
$596$	−19.6991	−	34.1198i	−0.806906	−	1.39760i
$597$	−34.0781	+	5.65624i	−1.39472	+	0.231495i
$598$	−1.26884	−	2.19769i	−0.0518866	−	0.0898702i
$599$	−1.33726	−	2.31620i	−0.0546388	−	0.0946372i	0.837412	−	0.546572i	$-0.184067\pi$
$599$	−1.33726	−	2.31620i	−0.0546388	−	0.0946372i	−0.892051	+	0.451934i	$0.850734\pi$
$600$	−2.44558	−	2.97475i	−0.0998402	−	0.121444i
$601$	−6.60716	−	11.4439i	−0.269511	−	0.466808i	0.699224	−	0.714902i	$-0.253529\pi$
$601$	−6.60716	−	11.4439i	−0.269511	−	0.466808i	−0.968736	+	0.248095i	$0.920196\pi$
$602$	0.310123	−	10.2209i	0.0126397	−	0.416575i
$603$	−17.5653	+	5.99612i	−0.715313	+	0.244181i
$604$	−9.38650	−	16.2579i	−0.381931	−	0.661524i
$605$	1.20374			0.0489391
$606$	−52.0843	+	8.64488i	−2.11578	+	0.351174i
$607$	25.8052			1.04740			0.523701	−	0.851902i	$-0.324551\pi$
$607$	25.8052			1.04740			0.523701	+	0.851902i	$0.324551\pi$
$608$	−28.0766	+	48.6301i	−1.13866	+	1.97221i
$609$	−20.9221	−	8.58675i	−0.847808	−	0.347953i
$610$	−0.101856	−	0.176419i	−0.00412401	−	0.00714299i
$611$	−0.181079	−	0.313637i	−0.00732565	−	0.0126884i
$612$	8.06877	−	40.9300i	0.326161	−	1.65450i
$613$	13.4766	−	23.3422i	0.544316	−	0.942784i	−0.454333	−	0.890832i	$-0.650122\pi$
$613$	13.4766	−	23.3422i	0.544316	−	0.942784i	0.998650	−	0.0519519i	$-0.0165443\pi$
$614$	−28.1263	+	48.7162i	−1.13509	+	1.96603i
$615$	−0.579212	+	0.0961370i	−0.0233561	+	0.00387662i
$616$	0.0596290	−	1.96524i	0.00240252	−	0.0791816i
$617$	−4.76588	+	8.25474i	−0.191867	+	0.332323i	−0.945869	−	0.324549i	$-0.894788\pi$
$617$	−4.76588	+	8.25474i	−0.191867	+	0.332323i	0.754002	+	0.656872i	$0.228121\pi$
$618$	0.715657	−	0.118784i	0.0287880	−	0.00477819i
$619$	34.7071			1.39500			0.697499	−	0.716586i	$-0.254296\pi$
$619$	34.7071			1.39500			0.697499	+	0.716586i	$0.254296\pi$
$620$	−0.408253	+	0.707114i	−0.0163958	+	0.0283984i
$621$	28.2899	−	15.2147i	1.13524	−	0.610544i
$622$	−28.8654			−1.15740
$623$	21.1314	−	11.3600i	0.846610	−	0.455130i
$624$	0.428043	−	1.14024i	0.0171354	−	0.0456461i
$625$	24.6796			0.987186
$626$	−22.3279	−	38.6730i	−0.892402	−	1.54568i
$627$	−7.00716	+	18.6660i	−0.279839	+	0.745447i
$628$	−6.31904	+	10.9449i	−0.252157	+	0.436749i
$629$	−43.9006			−1.75043
$630$	1.62243	−	1.74656i	0.0646392	−	0.0695844i
$631$	−36.7963			−1.46484			−0.732419	−	0.680854i	$-0.761609\pi$
$631$	−36.7963			−1.46484			−0.732419	+	0.680854i	$0.761609\pi$
$632$	−2.85718	+	4.94877i	−0.113652	+	0.196852i
$633$	40.1776	−	6.66863i	1.59692	−	0.265054i
$634$	−8.79265	−	15.2293i	−0.349201	−	0.604833i
$635$	−1.97122			−0.0782256
$636$	13.0397	+	15.8612i	0.517057	+	0.628938i
$637$	−0.771798	+	1.16713i	−0.0305798	+	0.0462433i
$638$	16.8651			0.667696
$639$	−0.741253	+	3.76011i	−0.0293235	+	0.148748i
$640$	−0.259699	+	0.449811i	−0.0102655	+	0.0177804i
$641$	−44.1844			−1.74518			−0.872590	−	0.488454i	$-0.837561\pi$
$641$	−44.1844			−1.74518			−0.872590	+	0.488454i	$0.837561\pi$
$642$	−15.7420	−	19.1483i	−0.621288	−	0.755723i
$643$	7.24065	−	12.5412i	0.285543	−	0.494575i	−0.687197	−	0.726471i	$-0.741159\pi$
$643$	7.24065	−	12.5412i	0.285543	−	0.494575i	0.972741	+	0.231895i	$0.0744926\pi$
$644$	31.9444	−	17.1730i	1.25879	−	0.676712i
$645$	−0.167542	+	0.446305i	−0.00659696	+	0.0175732i
$646$	−44.5444	+	77.1532i	−1.75258	+	3.03555i
$647$	−16.6536	+	28.8448i	−0.654719	+	1.13401i	0.327245	+	0.944940i	$0.393880\pi$
$647$	−16.6536	+	28.8448i	−0.654719	+	1.13401i	−0.981964	+	0.189068i	$0.939453\pi$
$648$	−3.71853	−	1.52539i	−0.146078	−	0.0599231i
$649$	3.80315	+	6.58725i	0.149287	+	0.258572i
$650$	−1.02187	−	1.76993i	−0.0400811	−	0.0694225i
$651$	10.6740	+	4.38076i	0.418347	+	0.171696i
$652$	−2.35643	+	4.08146i	−0.0922850	+	0.159842i
$653$	−9.06643			−0.354797			−0.177398	−	0.984139i	$-0.556768\pi$
$653$	−9.06643			−0.354797			−0.177398	+	0.984139i	$0.556768\pi$
$654$	−8.32721	+	22.1824i	−0.325620	+	0.867399i
$655$	2.90054			0.113333
$656$	−4.07696	−	7.06150i	−0.159178	−	0.275705i
$657$	−3.51757	−	3.07420i	−0.137233	−	0.119936i
$658$	8.67065	−	4.66126i	0.338017	−	0.181715i
$659$	16.1806	+	28.0256i	0.630305	+	1.09172i	0.987489	+	0.157686i	$0.0504035\pi$
$659$	16.1806	+	28.0256i	0.630305	+	1.09172i	−0.357184	+	0.934034i	$0.616263\pi$
$660$	−0.328493	+	0.875054i	−0.0127866	+	0.0340614i
$661$	4.32958	+	7.49905i	0.168401	+	0.291679i	0.937858	−	0.347020i	$-0.112806\pi$
$661$	4.32958	+	7.49905i	0.168401	+	0.291679i	−0.769457	+	0.638699i	$0.779473\pi$
$662$	−11.1382	−	19.2919i	−0.432897	−	0.749799i
$663$	0.763064	−	2.03268i	0.0296349	−	0.0789428i
$664$	1.67775	+	2.90595i	0.0651094	+	0.112773i
$665$	−2.35754	+	1.26739i	−0.0914214	+	0.0491473i
$666$	−8.34179	+	42.3150i	−0.323238	+	1.63967i
$667$	15.2541	+	26.4209i	0.590642	+	1.02302i
$668$	25.6659			0.993043
$669$	−2.47207	+	6.58520i	−0.0955758	+	0.254599i
$670$	1.85813			0.0717860
$671$	0.564339	−	0.977464i	0.0217861	−	0.0377346i
$672$	34.4134	+	14.1237i	1.32752	+	0.544835i
$673$	7.24842	+	12.5546i	0.279406	+	0.483946i	0.971237	−	0.238114i	$-0.0765291\pi$
$673$	7.24842	+	12.5546i	0.279406	+	0.483946i	−0.691831	+	0.722059i	$0.743196\pi$
$674$	3.43803	+	5.95484i	0.132428	+	0.229372i
$675$	22.7836	−	12.2533i	0.876942	−	0.471631i
$676$	14.3692	−	24.8881i	0.552661	−	0.957236i
$677$	−19.1657	+	33.1960i	−0.736600	+	1.27583i	0.217418	+	0.976078i	$0.430236\pi$
$677$	−19.1657	+	33.1960i	−0.736600	+	1.27583i	−0.954018	+	0.299749i	$0.903097\pi$
$678$	0.0483128	−	0.128698i	0.00185544	−	0.00494260i
$679$	−18.5736	+	9.98498i	−0.712788	+	0.383188i
$680$	−0.204785	+	0.354698i	−0.00785315	+	0.0136021i
$681$	−4.23793	−	5.15494i	−0.162398	−	0.197538i
$682$	−8.60418			−0.329471
$683$	−3.31659	+	5.74450i	−0.126906	+	0.219807i	−0.922476	−	0.386054i	$-0.873838\pi$
$683$	−3.31659	+	5.74450i	−0.126906	+	0.219807i	0.795570	+	0.605861i	$0.207171\pi$
$684$	34.6502	+	30.2828i	1.32488	+	1.15789i
$685$	0.942567			0.0360136
$686$	−31.0740	−	21.9315i	−1.18641	−	0.837350i
$687$	14.4272	+	17.5489i	0.550430	+	0.669534i
$688$	−6.62044			−0.252402
$689$	0.534322	+	0.925472i	0.0203560	+	0.0352577i
$690$	−3.17238	+	0.526548i	−0.120770	+	0.0200453i
$691$	11.6938	−	20.2542i	0.444852	−	0.770506i	−0.553190	−	0.833055i	$-0.686590\pi$
$691$	11.6938	−	20.2542i	0.444852	−	0.770506i	0.998042	+	0.0625490i	$0.0199230\pi$
$692$	−35.2818			−1.34121
$693$	12.8751	+	2.94642i	0.489084	+	0.111925i
$694$	−23.6848			−0.899061
$695$	−0.916269	+	1.58702i	−0.0347561	+	0.0601992i
$696$	1.34161	−	3.57383i	0.0508535	−	0.135466i
$697$	−7.26791	−	12.5884i	−0.275292	−	0.476819i
$698$	18.2740			0.691683
$699$	10.6542	−	28.3810i	0.402978	−	1.07347i
$700$	25.7268	−	13.8305i	0.972381	−	0.522743i
$701$	9.26736			0.350023			0.175012	−	0.984566i	$-0.444004\pi$
$701$	9.26736			0.350023			0.175012	+	0.984566i	$0.444004\pi$
$702$	−1.81427	−	1.12174i	−0.0684752	−	0.0423375i
$703$	24.2131	−	41.9383i	0.913214	−	1.58173i
$704$	−16.0327			−0.604256
$705$	−0.452738	+	0.0751449i	−0.0170511	+	0.00283012i
$706$	2.71799	−	4.70769i	0.102293	−	0.177176i
$707$	1.19101	−	39.2528i	0.0447924	−	1.47625i
$708$	17.3191	−	2.87460i	0.650891	−	0.108034i
$709$	−7.11775	+	12.3283i	−0.267313	+	0.462999i	−0.968167	−	0.250305i	$-0.919469\pi$
$709$	−7.11775	+	12.3283i	−0.267313	+	0.462999i	0.700854	+	0.713305i	$0.252802\pi$
$710$	0.191839	−	0.332275i	0.00719959	−	0.0124701i
$711$	−28.9043	−	25.2611i	−1.08399	−	0.947365i
$712$	2.02478	+	3.50702i	0.0758817	+	0.131431i
$713$	−7.78230	−	13.4793i	−0.291449	−	0.504805i
$714$	54.5979	+	22.4078i	2.04327	+	0.838589i
$715$	−0.0243226	+	0.0421280i	−0.000909613	+	0.00157550i
$716$	−17.1926			−0.642519
$717$	12.5026	−	2.07517i	0.466919	−	0.0774986i
$718$	53.3272			1.99015
$719$	6.92848	+	12.0005i	0.258389	+	0.447542i	0.965810	−	0.259249i	$-0.0834752\pi$
$719$	6.92848	+	12.0005i	0.258389	+	0.447542i	−0.707422	+	0.706792i	$0.750142\pi$
$720$	−1.16212	−	1.01564i	−0.0433096	−	0.0378507i
$721$	−0.0163649	+	0.539348i	−0.000609459	+	0.0200864i
$722$	−29.6268	−	51.3151i	−1.10259	−	1.90975i
$723$	6.85383	+	8.33688i	0.254897	+	0.310052i
$724$	13.4842	+	23.3553i	0.501136	+	0.867993i
$725$	12.2851	+	21.2784i	0.456257	+	0.790260i
$726$	28.8826	−	4.79389i	1.07193	−	0.177918i
$727$	15.7000	+	27.1932i	0.582280	+	1.00854i	0.995208	+	0.0977755i	$0.0311727\pi$
$727$	15.7000	+	27.1932i	0.582280	+	1.00854i	−0.412928	+	0.910764i	$0.635494\pi$
$728$	−0.200862	−	0.124239i	−0.00744446	−	0.00460460i
$729$	14.8851	−	22.5263i	0.551299	−	0.834308i
$730$	0.233843	+	0.405028i	0.00865492	+	0.0149908i
$731$	−11.8021			−0.436518
$732$	−1.65437	−	2.01235i	−0.0611473	−	0.0743785i
$733$	−26.6006			−0.982515			−0.491257	−	0.871014i	$-0.663463\pi$
$733$	−26.6006			−0.982515			−0.491257	+	0.871014i	$0.663463\pi$
$734$	−18.0592	+	31.2794i	−0.666576	+	1.15454i
$735$	1.04092	+	1.43544i	0.0383950	+	0.0529470i
$736$	−25.0904	−	43.4579i	−0.924845	−	1.60188i
$737$	5.14757	+	8.91586i	0.189613	+	0.328420i
$738$	−13.5147	+	4.61341i	−0.497484	+	0.169822i
$739$	16.5019	−	28.5822i	0.607034	−	1.05141i	−0.384693	−	0.923045i	$-0.625693\pi$
$739$	16.5019	−	28.5822i	0.607034	−	1.05141i	0.991727	−	0.128368i	$-0.0409740\pi$
$740$	1.13510	−	1.96605i	0.0417272	−	0.0722736i
$741$	1.52096	+	1.85007i	0.0558739	+	0.0679640i
$742$	−25.5851	+	13.7543i	−0.939259	+	0.504937i
$743$	19.3008	−	33.4299i	0.708076	−	1.22642i	−0.257493	−	0.966280i	$-0.582897\pi$
$743$	19.3008	−	33.4299i	0.708076	−	1.22642i	0.965570	−	0.260144i	$-0.0837701\pi$
$744$	−0.684457	+	1.82328i	−0.0250934	+	0.0668448i
$745$	−2.59839			−0.0951975
$746$	−0.836938	+	1.44962i	−0.0306425	+	0.0530743i
$747$	−21.3325	+	7.28211i	−0.780517	+	0.266439i
$748$	−23.1400			−0.846082
$749$	16.2400	−	8.73047i	0.593396	−	0.319004i
$750$	−5.12080	+	0.849945i	−0.186985	+	0.0310356i
$751$	−37.8996			−1.38297			−0.691487	−	0.722389i	$-0.743044\pi$
$751$	−37.8996			−1.38297			−0.691487	+	0.722389i	$0.743044\pi$
$752$	−3.18673	−	5.51957i	−0.116208	−	0.201278i
$753$	6.21780	+	7.56323i	0.226589	+	0.275619i
$754$	1.01295	−	1.75448i	0.0368895	−	0.0638944i
$755$	−1.23811			−0.0450596
$756$	16.8107	−	25.4310i	0.611400	−	0.924916i
$757$	22.5927			0.821147			0.410573	−	0.911828i	$-0.365329\pi$
$757$	22.5927			0.821147			0.410573	+	0.911828i	$0.365329\pi$
$758$	20.9793	−	36.3371i	0.762001	−	1.31982i
$759$	−11.3149	−	13.7633i	−0.410707	−	0.499576i
$760$	−0.225896	−	0.391263i	−0.00819411	−	0.0141926i
$761$	27.7470			1.00583			0.502913	−	0.864337i	$-0.332261\pi$
$761$	27.7470			1.00583			0.502913	+	0.864337i	$0.332261\pi$
$762$	−47.2974	+	7.85037i	−1.71340	+	0.284389i
$763$	−14.9884	−	9.27072i	−0.542616	−	0.335623i
$764$	−11.0156			−0.398529
$765$	−2.07168	−	1.81056i	−0.0749019	−	0.0654610i
$766$	−18.3727	+	31.8224i	−0.663832	+	1.14979i
$767$	0.913698			0.0329917
$768$	7.29015	−	19.4198i	0.263061	−	0.700751i
$769$	−6.07668	+	10.5251i	−0.219131	+	0.379546i	−0.954542	−	0.298075i	$-0.903655\pi$
$769$	−6.07668	+	10.5251i	−0.219131	+	0.379546i	0.735412	+	0.677621i	$0.236989\pi$
$770$	−1.12454	−	0.695562i	−0.0405258	−	0.0250663i
$771$	12.9812	+	15.7901i	0.467505	+	0.568665i
$772$	16.5250	−	28.6221i	0.594747	−	1.03013i
$773$	−20.7795	+	35.9912i	−0.747388	+	1.29451i	0.201682	+	0.979451i	$0.435359\pi$
$773$	−20.7795	+	35.9912i	−0.747388	+	1.29451i	−0.949071	+	0.315063i	$0.897974\pi$
$774$	−2.24259	+	11.3759i	−0.0806082	+	0.408897i
$775$	−6.26756	−	10.8557i	−0.225137	−	0.389950i
$776$	−1.77969	−	3.08252i	−0.0638873	−	0.110656i
$777$	−29.6779	−	12.1802i	−1.06469	−	0.436963i
$778$	−16.0470	+	27.7942i	−0.575313	+	0.996472i
$779$	16.0343			0.574488
$780$	0.0713021	+	0.0867306i	0.00255303	+	0.00310545i
$781$	2.12580			0.0760671
$782$	−39.8068	−	68.9473i	−1.42349	−	2.46555i
$783$	21.8114	+	13.4858i	0.779476	+	0.481942i
$784$	−13.5826	+	20.5398i	−0.485091	+	0.733564i
$785$	0.416753	+	0.721837i	0.0148746	+	0.0257635i
$786$	69.5953	−	11.5513i	2.48238	−	0.412023i
$787$	10.4484	+	18.0972i	0.372446	+	0.645096i	0.989941	−	0.141479i	$-0.0451857\pi$
$787$	10.4484	+	18.0972i	0.372446	+	0.645096i	−0.617495	+	0.786575i	$0.711852\pi$
$788$	23.5725	+	40.8288i	0.839736	+	1.45447i
$789$	−24.4629	−	29.7562i	−0.870901	−	1.05935i
$790$	1.92152	+	3.32816i	0.0683645	+	0.118411i
$791$	0.0869596	+	0.0537869i	0.00309193	+	0.00191244i
$792$	−0.431195	+	2.18730i	−0.0153218	+	0.0777222i
$793$	−0.0677905	−	0.117417i	−0.00240731	−	0.00416959i
$794$	−39.5558			−1.40378
$795$	1.33593	−	0.221735i	0.0473804	−	0.00786415i
$796$	44.2254			1.56753
$797$	−0.319383	+	0.553188i	−0.0113131	+	0.0195949i	−0.871627	−	0.490171i	$-0.836934\pi$
$797$	−0.319383	+	0.553188i	−0.0113131	+	0.0195949i	0.860313	+	0.509765i	$0.170268\pi$
$798$	−51.5193	+	39.7986i	−1.82376	+	1.40886i
$799$	−5.68091	−	9.83963i	−0.200976	−	0.348101i
$800$	−20.2069	−	34.9993i	−0.714420	−	1.23741i
$801$	−25.7450	+	8.78835i	−0.909653	+	0.310521i
$802$	−14.6849	+	25.4350i	−0.518541	+	0.898139i
$803$	−1.29563	+	2.24409i	−0.0457217	+	0.0791923i
$804$	23.4414	−	3.89078i	0.826714	−	0.137217i
$805$	0.0725425	−	2.39084i	0.00255679	−	0.0842659i
$806$	−0.516783	+	0.895095i	−0.0182029	+	0.0315284i
$807$	−4.08175	+	0.677484i	−0.143684	+	0.0238486i
$808$	6.62862			0.233194
$809$	25.2796	−	43.7856i	0.888783	−	1.53942i	0.0474686	−	0.998873i	$-0.484885\pi$
$809$	25.2796	−	43.7856i	0.888783	−	1.53942i	0.841315	−	0.540545i	$-0.181782\pi$
$810$	−2.13882	+	1.65282i	−0.0751505	+	0.0580743i
$811$	−0.784071			−0.0275325			−0.0137662	−	0.999905i	$-0.504382\pi$
$811$	−0.784071			−0.0275325			−0.0137662	+	0.999905i	$0.504382\pi$
$812$	24.6241	+	15.2307i	0.864135	+	0.534491i
$813$	14.1382	−	37.6620i	0.495850	−	1.32087i
$814$	23.9230			0.838501
$815$	0.155411	+	0.269180i	0.00544382	+	0.00942897i
$816$	13.4288	−	35.7723i	0.470104	−	1.25228i
$817$	6.50939	−	11.2746i	0.227735	−	0.394448i
$818$	65.4311			2.28775
$819$	1.07982	−	1.16243i	0.0377319	−	0.0406186i
$820$	0.751682			0.0262499
$821$	−21.7207	+	37.6213i	−0.758056	+	1.31299i	0.185784	+	0.982591i	$0.440517\pi$
$821$	−21.7207	+	37.6213i	−0.758056	+	1.31299i	−0.943841	+	0.330401i	$0.892816\pi$
$822$	22.6159	−	3.75376i	0.788820	−	0.130927i
$823$	−1.98273	−	3.43419i	−0.0691136	−	0.119708i	0.829398	−	0.558659i	$-0.188684\pi$
$823$	−1.98273	−	3.43419i	−0.0691136	−	0.119708i	−0.898511	+	0.438950i	$0.855350\pi$
$824$	−0.0910797			−0.00317291
$825$	−9.11262	−	11.0844i	−0.317261	−	0.385910i
$826$	−0.753229	+	24.8247i	−0.0262082	+	0.863763i
$827$	29.3159			1.01941			0.509707	−	0.860348i	$-0.329754\pi$
$827$	29.3159			1.01941			0.509707	+	0.860348i	$0.329754\pi$
$828$	−38.9188	+	13.2854i	−1.35252	+	0.461699i
$829$	−17.5213	+	30.3478i	−0.608541	+	1.05402i	0.382940	+	0.923773i	$0.374912\pi$
$829$	−17.5213	+	30.3478i	−0.608541	+	1.05402i	−0.991481	+	0.130251i	$0.958422\pi$
$830$	2.25665			0.0783295
$831$	−5.07955	−	6.17868i	−0.176208	−	0.214336i
$832$	−0.962955	+	1.66789i	−0.0333844	+	0.0578236i
$833$	−24.2134	+	36.6159i	−0.838943	+	1.26867i
$834$	−15.6646	+	41.7280i	−0.542421	+	1.44492i
$835$	0.846358	−	1.46593i	0.0292894	−	0.0507308i
$836$	12.7627	−	22.1057i	0.441408	−	0.764541i
$837$	−11.1277	−	6.88012i	−0.384628	−	0.237812i
$838$	24.5369	+	42.4992i	0.847614	+	1.46811i
$839$	−18.7921	−	32.5489i	−0.648777	−	1.12371i	−0.983415	−	0.181368i	$-0.941948\pi$
$839$	−18.7921	−	32.5489i	−0.648777	−	1.12371i	0.334639	−	0.942347i	$-0.391386\pi$
$840$	−0.236851	+	0.182967i	−0.00817213	+	0.00631296i
$841$	2.32218	−	4.02213i	0.0800750	−	0.138694i
$842$	5.02119			0.173042
$843$	−7.19324	+	19.1617i	−0.247749	+	0.659963i
$844$	−52.1411			−1.79477
$845$	−0.947675	−	1.64142i	−0.0326010	−	0.0564666i
$846$	−10.5637	+	3.60604i	−0.363188	+	0.123978i
$847$	−0.660455	+	21.7671i	−0.0226935	+	0.747926i
$848$	9.40331	+	16.2870i	0.322911	+	0.559298i
$849$	9.64815	−	25.7011i	0.331124	−	0.882061i
$850$	−32.0588	−	55.5275i	−1.09961	−	1.90458i
$851$	21.6378	+	37.4778i	0.741735	+	1.28472i
$852$	1.72440	−	4.59353i	0.0590770	−	0.157372i
$853$	16.3849	+	28.3795i	0.561009	+	0.971696i	0.997409	+	0.0719434i	$0.0229201\pi$
$853$	16.3849	+	28.3795i	0.561009	+	0.971696i	−0.436400	+	0.899753i	$0.643747\pi$
$854$	3.24604	−	1.74504i	0.111077	−	0.0597140i
$855$	2.87226	−	0.980479i	0.0982291	−	0.0335317i
$856$	1.55609	+	2.69523i	0.0531861	+	0.0921211i
$857$	27.5347			0.940566			0.470283	−	0.882516i	$-0.344152\pi$
$857$	27.5347			0.940566			0.470283	+	0.882516i	$0.344152\pi$
$858$	−0.415821	+	1.10768i	−0.0141959	+	0.0378156i
$859$	−46.5101			−1.58690			−0.793451	−	0.608634i	$-0.791718\pi$
$859$	−46.5101			−1.58690			−0.793451	+	0.608634i	$0.791718\pi$
$860$	0.305158	−	0.528549i	0.0104058	−	0.0180234i
$861$	−1.42063	−	10.5265i	−0.0484151	−	0.358744i
$862$	5.05981	+	8.76384i	0.172338	+	0.298498i
$863$	2.44007	+	4.22633i	0.0830610	+	0.143866i	0.904563	−	0.426339i	$-0.140197\pi$
$863$	2.44007	+	4.22633i	0.0830610	+	0.143866i	−0.821502	+	0.570205i	$0.806864\pi$
$864$	−35.8760	−	22.1818i	−1.22053	−	0.754639i
$865$	−1.16345	+	2.01516i	−0.0395585	+	0.0685174i
$866$	−31.6814	+	54.8739i	−1.07658	+	1.86469i
$867$	13.5909	−	36.2041i	0.461572	−	1.22956i
$868$	−12.5626	−	7.77033i	−0.426403	−	0.263742i
$869$	−10.6463	+	18.4400i	−0.361152	+	0.625533i
$870$	−1.63034	−	1.98312i	−0.0552739	−	0.0672341i
$871$	1.23669			0.0419037
$872$	1.48738	−	2.57622i	0.0503690	−	0.0872417i
$873$	22.6287	−	7.72458i	0.765866	−	0.261437i
$874$	87.8207			2.97058
$875$	0.117097	−	3.85924i	0.00395860	−	0.130466i
$876$	3.79815	+	4.62001i	0.128328	+	0.156096i
$877$	39.2892			1.32670			0.663352	−	0.748308i	$-0.269133\pi$
$877$	39.2892			1.32670			0.663352	+	0.748308i	$0.269133\pi$
$878$	−2.51388	−	4.35418i	−0.0848395	−	0.146946i
$879$	24.0856	−	3.99770i	0.812388	−	0.134839i
$880$	−0.428043	+	0.741392i	−0.0144293	+	0.0249923i
$881$	47.3713			1.59598			0.797990	−	0.602670i	$-0.205897\pi$
$881$	47.3713			1.59598			0.797990	+	0.602670i	$0.205897\pi$
$882$	30.6925	+	30.2964i	1.03347	+	1.02013i
$883$	−2.67206			−0.0899221			−0.0449610	−	0.998989i	$-0.514316\pi$
$883$	−2.67206			−0.0899221			−0.0449610	+	0.998989i	$0.514316\pi$
$884$	−1.38983	+	2.40726i	−0.0467451	+	0.0809649i
$885$	0.406927	−	1.08399i	0.0136787	−	0.0364379i
$886$	27.0003	+	46.7659i	0.907094	+	1.57113i
$887$	−22.9600			−0.770922			−0.385461	−	0.922724i	$-0.625958\pi$
$887$	−22.9600			−0.770922			−0.385461	+	0.922724i	$0.625958\pi$
$888$	1.90306	−	5.06944i	0.0638624	−	0.170119i
$889$	1.08155	−	35.6453i	0.0362739	−	1.19550i
$890$	2.72342			0.0912891
$891$	−13.8559	−	5.68387i	−0.464189	−	0.190417i
$892$	4.50259	−	7.79871i	0.150758	−	0.261120i
$893$	12.5331			0.419404
$894$	−62.3456	+	10.3480i	−2.08515	+	0.346090i
$895$	−0.566944	+	0.981976i	−0.0189508	+	0.0328238i
$896$	−7.99137	−	4.94288i	−0.266973	−	0.165130i
$897$	−2.11140	+	0.350447i	−0.0704975	+	0.0117011i
$898$	39.7460	−	68.8420i	1.32634	−	2.29729i
$899$	6.21284	−	10.7610i	0.207210	−	0.358898i
$900$	−31.3437	+	10.6995i	−1.04479	+	0.356651i
$901$	16.7631	+	29.0345i	0.558459	+	0.967280i
$902$	3.96054	+	6.85986i	0.131872	+	0.228408i
$903$	−7.97853	−	3.27450i	−0.265509	−	0.108969i
$904$	−0.00862948	+	0.0149467i	−0.000287012	+	0.000497120i
$905$	1.77862			0.0591232
$906$	−29.7073	+	4.93078i	−0.986958	+	0.163814i
$907$	−27.8982			−0.926345			−0.463173	−	0.886268i	$-0.653289\pi$
$907$	−27.8982			−0.926345			−0.463173	+	0.886268i	$0.653289\pi$
$908$	4.27177	+	7.39892i	0.141764	+	0.245542i
$909$	−8.61250	+	43.6882i	−0.285659	+	1.44905i
$910$	−0.139902	+	0.0752099i	−0.00463770	+	0.00249318i
$911$	−18.7381	−	32.4553i	−0.620820	−	1.07529i	−0.989333	−	0.145670i	$-0.953466\pi$
$911$	−18.7381	−	32.4553i	−0.620820	−	1.07529i	0.368513	−	0.929623i	$-0.379867\pi$
$912$	26.7668	+	32.5586i	0.886336	+	1.07812i
$913$	6.25158	+	10.8281i	0.206897	+	0.358356i
$914$	9.40068	+	16.2825i	0.310947	+	0.538576i
$915$	−0.169492	+	0.0281320i	−0.00560322	+	0.000930016i
$916$	−14.5424	−	25.1881i	−0.480493	−	0.832239i
$917$	−1.59143	+	52.4499i	−0.0525536	+	1.73205i
$918$	−56.9184	−	35.1921i	−1.87859	−	1.16151i
$919$	−15.1073	−	26.1667i	−0.498345	−	0.863160i	0.501653	−	0.865069i	$-0.332726\pi$
$919$	−15.1073	−	26.1667i	−0.498345	−	0.863160i	−0.999998	+	0.00190951i	$0.999392\pi$
$920$	0.403740			0.0133109
$921$	30.1293	+	36.6487i	0.992793	+	1.20762i
$922$	−60.0289			−1.97695
$923$	0.127680	−	0.221147i	0.00420262	−	0.00727916i
$924$	−15.6432	−	6.42020i	−0.514624	−	0.211209i
$925$	17.4263	+	30.1832i	0.572972	+	0.992417i
$926$	−16.8611	−	29.2042i	−0.554089	−	0.959710i
$927$	0.118339	−	0.600292i	0.00388676	−	0.0197162i
$928$	20.0304	−	34.6937i	0.657531	−	1.13888i
$929$	22.9675	−	39.7809i	0.753540	−	1.30517i	−0.192556	−	0.981286i	$-0.561678\pi$
$929$	22.9675	−	39.7809i	0.753540	−	1.30517i	0.946097	−	0.323884i	$-0.104989\pi$
$930$	0.831764	+	1.01174i	0.0272746	+	0.0331763i
$931$	−21.6245	−	43.3263i	−0.708715	−	1.41996i
$932$	−19.4053	+	33.6110i	−0.635642	+	1.10096i
$933$	−8.55612	+	22.7921i	−0.280115	+	0.746181i
$934$	−31.5699			−1.03300
$935$	−0.763064	+	1.32167i	−0.0249549	+	0.0432231i
$936$	0.201647	+	0.176230i	0.00659103	+	0.00576027i
$937$	−45.3797			−1.48249			−0.741245	−	0.671235i	$-0.765764\pi$
$937$	−45.3797			−1.48249			−0.741245	+	0.671235i	$0.765764\pi$
$938$	−1.01950	+	33.6003i	−0.0332878	+	1.09709i
$939$	−37.1545	+	6.16686i	−1.21249	+	0.201248i
$940$	0.587547			0.0191637
$941$	−24.7002	−	42.7819i	−0.805202	−	1.39465i	−0.916154	−	0.400825i	$-0.868723\pi$
$941$	−24.7002	−	42.7819i	−0.805202	−	1.39465i	0.110952	−	0.993826i	$-0.464610\pi$
$942$	12.8743	+	15.6600i	0.419466	+	0.510231i
$943$	−7.16445	+	12.4092i	−0.233307	+	0.404099i
$944$	16.0798			0.523353
$945$	−0.898168	−	1.79877i	−0.0292174	−	0.0585141i
$946$	6.43141			0.209103
$947$	−15.8253	+	27.4102i	−0.514252	+	0.890711i	0.485611	+	0.874175i	$0.338597\pi$
$947$	−15.8253	+	27.4102i	−0.514252	+	0.890711i	−0.999863	+	0.0165357i	$0.994736\pi$
$948$	31.2099	+	37.9631i	1.01365	+	1.23299i
$949$	0.155636	+	0.269569i	0.00505214	+	0.00875057i
$950$	70.7274			2.29470
$951$	−14.6313	+	2.42849i	−0.474453	+	0.0787492i
$952$	−6.30159	−	3.89771i	−0.204236	−	0.126325i
$953$	−19.1237			−0.619477			−0.309739	−	0.950822i	$-0.600242\pi$
$953$	−19.1237			−0.619477			−0.309739	+	0.950822i	$0.600242\pi$
$954$	31.1711	−	10.6406i	1.00920	−	0.344503i
$955$	−0.363249	+	0.629165i	−0.0117545	+	0.0203593i
$956$	−16.2255			−0.524769
$957$	4.99906	−	13.3167i	0.161597	−	0.430467i
$958$	38.9465	−	67.4573i	1.25830	−	2.17945i
$959$	−0.517156	+	17.0443i	−0.0166998	+	0.550388i
$960$	1.54988	+	1.88524i	0.0500221	+	0.0608459i
$961$	12.3304	−	21.3568i	0.397753	−	0.688929i
$962$	1.43686	−	2.48871i	0.0463262	−	0.0802394i
$963$	−19.7856	+	6.75406i	−0.637583	+	0.217647i
$964$	−6.90857	−	11.9660i	−0.222510	−	0.385399i
$965$	−1.08985	−	1.88768i	−0.0350836	−	0.0607666i
$966$	−7.78089	−	57.6545i	−0.250346	−	1.85500i
$967$	4.98525	−	8.63470i	0.160315	−	0.277673i	−0.774667	−	0.632370i	$-0.782082\pi$
$967$	4.98525	−	8.63470i	0.160315	−	0.277673i	0.934982	+	0.354696i	$0.115416\pi$
$968$	−3.67581			−0.118145
$969$	47.7166	+	58.0416i	1.53288	+	1.86456i
$970$	−2.39377			−0.0768592
$971$	0.522554	+	0.905090i	0.0167695	+	0.0290457i	0.874288	−	0.485407i	$-0.161329\pi$
$971$	0.522554	+	0.905090i	0.0167695	+	0.0290457i	−0.857519	+	0.514453i	$0.827995\pi$
$972$	−23.5215	+	25.3298i	−0.754453	+	0.812453i
$973$	−28.1951	−	17.4395i	−0.903895	−	0.559084i
$974$	4.72847	+	8.18994i	0.151510	+	0.262423i
$975$	−1.70044	+	0.282237i	−0.0544576	+	0.00903880i
$976$	−1.19302	−	2.06637i	−0.0381875	−	0.0661428i
$977$	9.44308	+	16.3559i	0.302111	+	0.523272i	0.976614	−	0.215001i	$-0.0689753\pi$
$977$	9.44308	+	16.3559i	0.302111	+	0.523272i	−0.674503	+	0.738272i	$0.735642\pi$
$978$	4.80094	+	5.83977i	0.153517	+	0.186735i
$979$	7.54466	+	13.0677i	0.241128	+	0.417647i
$980$	−1.01375	−	2.03112i	−0.0323830	−	0.0648819i
$981$	15.0469	+	13.1503i	0.480410	+	0.419858i
$982$	−31.1899	−	54.0224i	−0.995309	−	1.72393i
$983$	2.28891			0.0730050			0.0365025	−	0.999334i	$-0.488378\pi$
$983$	2.28891			0.0730050			0.0365025	+	0.999334i	$0.488378\pi$
$984$	1.76871	−	0.293568i	0.0563844	−	0.00935861i
$985$	3.10930			0.0990707
$986$	31.7789	−	55.0427i	1.01205	−	1.75292i
$987$	−1.11043	−	8.22800i	−0.0353453	−	0.261900i
$988$	−1.53311	−	2.65542i	−0.0487746	−	0.0844801i
$989$	5.81707	+	10.0755i	0.184972	+	0.320381i
$990$	1.12893	+	0.986640i	0.0358799	+	0.0313575i
$991$	−9.53491	+	16.5150i	−0.302886	+	0.524615i	−0.976789	−	0.214206i	$-0.931284\pi$
$991$	−9.53491	+	16.5150i	−0.302886	+	0.524615i	0.673902	+	0.738821i	$0.264617\pi$
$992$	−10.2191	+	17.6999i	−0.324455	+	0.561973i
$993$	−18.5343	+	3.07631i	−0.588170	+	0.0976237i
$994$	5.90321	+	3.65130i	0.187239	+	0.115812i
$995$	1.45837	−	2.52598i	0.0462336	−	0.0800789i
$996$	28.4689	−	4.72524i	0.902072	−	0.149725i
$997$	37.0151			1.17228			0.586139	−	0.810210i	$-0.300647\pi$
$997$	37.0151			1.17228			0.586139	+	0.810210i	$0.300647\pi$
$998$	−9.51732	+	16.4845i	−0.301266	+	0.521807i
$999$	30.9392	+	19.1294i	0.978875	+	0.605228i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	63.2.g.b.4.1	✓	10
3.2	odd	2		189.2.g.b.172.5		10
4.3	odd	2		1008.2.t.i.193.2		10
7.2	even	3		63.2.h.b.58.5	yes	10
7.3	odd	6		441.2.f.f.148.1		10
7.4	even	3		441.2.f.e.148.1		10
7.5	odd	6		441.2.h.f.373.5		10
7.6	odd	2		441.2.g.f.67.1		10
9.2	odd	6		189.2.h.b.46.1		10
9.4	even	3		567.2.e.f.487.1		10
9.5	odd	6		567.2.e.e.487.5		10
9.7	even	3		63.2.h.b.25.5	yes	10
12.11	even	2		3024.2.t.i.1873.3		10
21.2	odd	6		189.2.h.b.37.1		10
21.5	even	6		1323.2.h.f.226.1		10
21.11	odd	6		1323.2.f.e.442.5		10
21.17	even	6		1323.2.f.f.442.5		10
21.20	even	2		1323.2.g.f.361.5		10
28.23	odd	6		1008.2.q.i.625.5		10
36.7	odd	6		1008.2.q.i.529.5		10
36.11	even	6		3024.2.q.i.2881.3		10
63.2	odd	6		189.2.g.b.100.5		10
63.4	even	3		3969.2.a.z.1.5		5
63.11	odd	6		1323.2.f.e.883.5		10
63.16	even	3	inner	63.2.g.b.16.1	yes	10
63.20	even	6		1323.2.h.f.802.1		10
63.23	odd	6		567.2.e.e.163.5		10
63.25	even	3		441.2.f.e.295.1		10
63.31	odd	6		3969.2.a.ba.1.5		5
63.32	odd	6		3969.2.a.bc.1.1		5
63.34	odd	6		441.2.h.f.214.5		10
63.38	even	6		1323.2.f.f.883.5		10
63.47	even	6		1323.2.g.f.667.5		10
63.52	odd	6		441.2.f.f.295.1		10
63.58	even	3		567.2.e.f.163.1		10
63.59	even	6		3969.2.a.bb.1.1		5
63.61	odd	6		441.2.g.f.79.1		10
84.23	even	6		3024.2.q.i.2305.3		10
252.79	odd	6		1008.2.t.i.961.2		10
252.191	even	6		3024.2.t.i.289.3		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.g.b.4.1	✓	10	1.1	even	1	trivial
63.2.g.b.16.1	yes	10	63.16	even	3	inner
63.2.h.b.25.5	yes	10	9.7	even	3
63.2.h.b.58.5	yes	10	7.2	even	3
189.2.g.b.100.5		10	63.2	odd	6
189.2.g.b.172.5		10	3.2	odd	2
189.2.h.b.37.1		10	21.2	odd	6
189.2.h.b.46.1		10	9.2	odd	6
441.2.f.e.148.1		10	7.4	even	3
441.2.f.e.295.1		10	63.25	even	3
441.2.f.f.148.1		10	7.3	odd	6
441.2.f.f.295.1		10	63.52	odd	6
441.2.g.f.67.1		10	7.6	odd	2
441.2.g.f.79.1		10	63.61	odd	6
441.2.h.f.214.5		10	63.34	odd	6
441.2.h.f.373.5		10	7.5	odd	6
567.2.e.e.163.5		10	63.23	odd	6
567.2.e.e.487.5		10	9.5	odd	6
567.2.e.f.163.1		10	63.58	even	3
567.2.e.f.487.1		10	9.4	even	3
1008.2.q.i.529.5		10	36.7	odd	6
1008.2.q.i.625.5		10	28.23	odd	6
1008.2.t.i.193.2		10	4.3	odd	2
1008.2.t.i.961.2		10	252.79	odd	6
1323.2.f.e.442.5		10	21.11	odd	6
1323.2.f.e.883.5		10	63.11	odd	6
1323.2.f.f.442.5		10	21.17	even	6
1323.2.f.f.883.5		10	63.38	even	6
1323.2.g.f.361.5		10	21.20	even	2
1323.2.g.f.667.5		10	63.47	even	6
1323.2.h.f.226.1		10	21.5	even	6
1323.2.h.f.802.1		10	63.20	even	6
3024.2.q.i.2305.3		10	84.23	even	6
3024.2.q.i.2881.3		10	36.11	even	6
3024.2.t.i.289.3		10	252.191	even	6
3024.2.t.i.1873.3		10	12.11	even	2
3969.2.a.z.1.5		5	63.4	even	3
3969.2.a.ba.1.5		5	63.31	odd	6
3969.2.a.bb.1.1		5	63.59	even	6
3969.2.a.bc.1.1		5	63.32	odd	6

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:	\( N \)	\(=\)	\( 63 = 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	63.g (of order \(3\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.02682 + 1.77851i) q^{2} +(1.09995 + 1.33795i) q^{3} +(-1.10873 - 1.92038i) q^{4} -0.146246 q^{5} +(-3.50901 + 0.582422i) q^{6} +(0.0802402 - 2.64453i) q^{7} +0.446582 q^{8} +(-0.580240 + 2.94335i) q^{9} +O(q^{10})\)	\(q+(-1.02682 + 1.77851i) q^{2} +(1.09995 + 1.33795i) q^{3} +(-1.10873 - 1.92038i) q^{4} -0.146246 q^{5} +(-3.50901 + 0.582422i) q^{6} +(0.0802402 - 2.64453i) q^{7} +0.446582 q^{8} +(-0.580240 + 2.94335i) q^{9} +(0.150168 - 0.260099i) q^{10} +1.66404 q^{11} +(1.34983 - 3.59574i) q^{12} +(0.0999454 - 0.173111i) q^{13} +(4.62094 + 2.85818i) q^{14} +(-0.160862 - 0.195670i) q^{15} +(1.75890 - 3.04650i) q^{16} +(3.13555 - 5.43093i) q^{17} +(-4.63897 - 4.05426i) q^{18} +(3.45879 + 5.99080i) q^{19} +(0.162147 + 0.280847i) q^{20} +(3.62652 - 2.80149i) q^{21} +(-1.70867 + 2.95951i) q^{22} -6.18184 q^{23} +(0.491216 + 0.597507i) q^{24} -4.97861 q^{25} +(0.205252 + 0.355508i) q^{26} +(-4.57630 + 2.46119i) q^{27} +(-5.16746 + 2.77798i) q^{28} +(-2.46757 - 4.27396i) q^{29} +(0.513178 - 0.0851766i) q^{30} +(1.25890 + 2.18047i) q^{31} +(4.05873 + 7.02993i) q^{32} +(1.83035 + 2.22641i) q^{33} +(6.43931 + 11.1532i) q^{34} +(-0.0117348 + 0.386752i) q^{35} +(6.29567 - 2.14910i) q^{36} +(-3.50023 - 6.06257i) q^{37} -14.2062 q^{38} +(0.341548 - 0.0566898i) q^{39} -0.0653107 q^{40} +(1.15895 - 2.00736i) q^{41} +(1.25867 + 9.32643i) q^{42} +(-0.940993 - 1.62985i) q^{43} +(-1.84497 - 3.19558i) q^{44} +(0.0848576 - 0.430452i) q^{45} +(6.34765 - 10.9944i) q^{46} +(0.905887 - 1.56904i) q^{47} +(6.01077 - 0.997660i) q^{48} +(-6.98712 - 0.424396i) q^{49} +(5.11215 - 8.85451i) q^{50} +(10.7153 - 1.77851i) q^{51} -0.443250 q^{52} +(-2.67307 + 4.62989i) q^{53} +(0.321798 - 10.6662i) q^{54} -0.243359 q^{55} +(0.0358339 - 1.18100i) q^{56} +(-4.21093 + 11.2172i) q^{57} +10.1350 q^{58} +(2.28549 + 3.95859i) q^{59} +(-0.197407 + 0.525861i) q^{60} +(0.339138 - 0.587404i) q^{61} -5.17066 q^{62} +(7.73724 + 1.77064i) q^{63} -9.63481 q^{64} +(-0.0146166 + 0.0253167i) q^{65} +(-5.83914 + 0.969173i) q^{66} +(3.09342 + 5.35796i) q^{67} -13.9059 q^{68} +(-6.79968 - 8.27101i) q^{69} +(-0.675792 - 0.417996i) q^{70} +1.27749 q^{71} +(-0.259125 + 1.31445i) q^{72} +(-0.778603 + 1.34858i) q^{73} +14.3765 q^{74} +(-5.47620 - 6.66115i) q^{75} +(7.66972 - 13.2843i) q^{76} +(0.133523 - 4.40061i) q^{77} +(-0.249886 + 0.665657i) q^{78} +(-6.39787 + 11.0814i) q^{79} +(-0.257231 + 0.445537i) q^{80} +(-8.32664 - 3.41570i) q^{81} +(2.38008 + 4.12241i) q^{82} +(3.75687 + 6.50709i) q^{83} +(-9.40074 - 3.85820i) q^{84} +(-0.458561 + 0.794251i) q^{85} +3.86493 q^{86} +(3.00417 - 8.00262i) q^{87} +0.743131 q^{88} +(4.53394 + 7.85301i) q^{89} +(0.678430 + 0.592918i) q^{90} +(-0.449777 - 0.278199i) q^{91} +(6.85398 + 11.8714i) q^{92} +(-1.53266 + 4.08275i) q^{93} +(1.86037 + 3.22226i) q^{94} +(-0.505833 - 0.876128i) q^{95} +(-4.94134 + 13.1629i) q^{96} +(-3.98514 - 6.90246i) q^{97} +(7.92933 - 11.9909i) q^{98} +(-0.965543 + 4.89786i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 2 q^{2} + 2 q^{3} - 4 q^{4} - 8 q^{5} - 2 q^{6} - q^{7} - 6 q^{8} - 4 q^{9}+O(q^{10}) \) 10 * q + 2 * q^2 + 2 * q^3 - 4 * q^4 - 8 * q^5 - 2 * q^6 - q^7 - 6 * q^8 - 4 * q^9	\( 10 q + 2 q^{2} + 2 q^{3} - 4 q^{4} - 8 q^{5} - 2 q^{6} - q^{7} - 6 q^{8} - 4 q^{9} - 7 q^{10} - 8 q^{11} + 22 q^{12} - 8 q^{13} + 16 q^{14} - 19 q^{15} + 2 q^{16} + 12 q^{17} - 2 q^{18} + q^{19} + 5 q^{20} - 2 q^{21} - q^{22} - 6 q^{23} + 3 q^{24} + 2 q^{25} + 11 q^{26} - 7 q^{27} - 2 q^{28} + 7 q^{29} - 26 q^{30} - 3 q^{31} - 2 q^{32} - q^{33} + 3 q^{34} + 5 q^{35} + 34 q^{36} - 40 q^{38} + 20 q^{39} + 6 q^{40} + 5 q^{41} + 32 q^{42} - 7 q^{43} - 10 q^{44} - q^{45} + 3 q^{46} + 27 q^{47} - 5 q^{48} + 25 q^{49} + 19 q^{50} + 24 q^{51} + 20 q^{52} - 21 q^{53} - 53 q^{54} + 4 q^{55} - 45 q^{56} - 4 q^{57} + 20 q^{58} + 30 q^{59} - 41 q^{60} - 14 q^{61} - 12 q^{62} - 35 q^{63} - 50 q^{64} - 11 q^{65} - 41 q^{66} - 2 q^{67} - 54 q^{68} + 15 q^{69} - 29 q^{70} - 6 q^{71} + 48 q^{72} + 15 q^{73} + 72 q^{74} + 31 q^{75} + 5 q^{76} - 31 q^{77} - 20 q^{78} - 4 q^{79} + 20 q^{80} + 8 q^{81} - 5 q^{82} + 9 q^{83} + 2 q^{84} - 6 q^{85} + 16 q^{86} + 32 q^{87} + 36 q^{88} + 28 q^{89} + 28 q^{90} - 4 q^{91} + 27 q^{92} - 12 q^{93} - 3 q^{94} - 14 q^{95} - q^{96} - 12 q^{97} + 59 q^{98} + 35 q^{99}+O(q^{100}) \) 10 * q + 2 * q^2 + 2 * q^3 - 4 * q^4 - 8 * q^5 - 2 * q^6 - q^7 - 6 * q^8 - 4 * q^9 - 7 * q^10 - 8 * q^11 + 22 * q^12 - 8 * q^13 + 16 * q^14 - 19 * q^15 + 2 * q^16 + 12 * q^17 - 2 * q^18 + q^19 + 5 * q^20 - 2 * q^21 - q^22 - 6 * q^23 + 3 * q^24 + 2 * q^25 + 11 * q^26 - 7 * q^27 - 2 * q^28 + 7 * q^29 - 26 * q^30 - 3 * q^31 - 2 * q^32 - q^33 + 3 * q^34 + 5 * q^35 + 34 * q^36 - 40 * q^38 + 20 * q^39 + 6 * q^40 + 5 * q^41 + 32 * q^42 - 7 * q^43 - 10 * q^44 - q^45 + 3 * q^46 + 27 * q^47 - 5 * q^48 + 25 * q^49 + 19 * q^50 + 24 * q^51 + 20 * q^52 - 21 * q^53 - 53 * q^54 + 4 * q^55 - 45 * q^56 - 4 * q^57 + 20 * q^58 + 30 * q^59 - 41 * q^60 - 14 * q^61 - 12 * q^62 - 35 * q^63 - 50 * q^64 - 11 * q^65 - 41 * q^66 - 2 * q^67 - 54 * q^68 + 15 * q^69 - 29 * q^70 - 6 * q^71 + 48 * q^72 + 15 * q^73 + 72 * q^74 + 31 * q^75 + 5 * q^76 - 31 * q^77 - 20 * q^78 - 4 * q^79 + 20 * q^80 + 8 * q^81 - 5 * q^82 + 9 * q^83 + 2 * q^84 - 6 * q^85 + 16 * q^86 + 32 * q^87 + 36 * q^88 + 28 * q^89 + 28 * q^90 - 4 * q^91 + 27 * q^92 - 12 * q^93 - 3 * q^94 - 14 * q^95 - q^96 - 12 * q^97 + 59 * q^98 + 35 * q^99

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