LMFDB - Embedded newform 966.2.q.i.127.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(85,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 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("966.85");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.q (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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$4$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			127.4
Character	$\chi$	$=$	966.127
Dual form			966.2.q.i.715.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.841254 - 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.49494 - 1.02621i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})$	\(q+(0.841254 - 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.49494 - 1.02621i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(2.38532 - 2.75280i) q^{10} +(4.79855 + 3.08384i) q^{11} +(0.841254 + 0.540641i) q^{12} +(-1.87692 + 2.16608i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(0.518379 + 3.60541i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.55211 + 3.39865i) q^{17} +(-0.959493 + 0.281733i) q^{18} +(0.946720 - 2.07303i) q^{19} +(0.518379 - 3.60541i) q^{20} +(0.841254 - 0.540641i) q^{21} +5.70405 q^{22} +(-3.25999 - 3.51745i) q^{23} +1.00000 q^{24} +(6.95522 - 4.46985i) q^{25} +(-0.407893 + 2.83696i) q^{26} +(0.415415 - 0.909632i) q^{27} +(-0.959493 + 0.281733i) q^{28} +(2.09080 + 4.57822i) q^{29} +(2.38532 + 2.75280i) q^{30} +(-1.49926 - 10.4276i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(-3.73536 + 4.31083i) q^{33} +(3.14316 + 2.01999i) q^{34} +(-3.06425 - 1.96927i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-5.63467 - 1.65449i) q^{37} +(-0.324332 - 2.25578i) q^{38} +(-1.87692 - 2.16608i) q^{39} +(-1.51314 - 3.31332i) q^{40} +(-4.72719 + 1.38803i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-0.348842 + 2.42625i) q^{43} +(4.79855 - 3.08384i) q^{44} -3.64248 q^{45} +(-4.64416 - 1.19658i) q^{46} +10.4385 q^{47} +(0.841254 - 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(3.43452 - 7.52055i) q^{50} +(-3.58494 + 1.05263i) q^{51} +(1.19063 + 2.60712i) q^{52} +(-0.195591 - 0.225724i) q^{53} +(-0.142315 - 0.989821i) q^{54} +(19.9353 + 5.85353i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(1.91719 + 1.23211i) q^{57} +(4.23407 + 2.72107i) q^{58} +(7.80138 - 9.00327i) q^{59} +(3.49494 + 1.02621i) q^{60} +(1.86199 + 12.9504i) q^{61} +(-6.89886 - 7.96170i) q^{62} +(0.415415 + 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-4.33686 + 9.49640i) q^{65} +(-0.811771 + 5.64599i) q^{66} +(-9.78494 + 6.28840i) q^{67} +3.73629 q^{68} +(3.94559 - 2.72622i) q^{69} -3.64248 q^{70} +(-7.55590 + 4.85588i) q^{71} +(-0.142315 + 0.989821i) q^{72} +(1.39695 - 3.05890i) q^{73} +(-5.63467 + 1.65449i) q^{74} +(3.43452 + 7.52055i) q^{75} +(-1.49241 - 1.72233i) q^{76} +(-0.811771 - 5.64599i) q^{77} +(-2.75003 - 0.807482i) q^{78} +(8.93801 - 10.3150i) q^{79} +(-3.06425 - 1.96927i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-3.22634 + 3.72339i) q^{82} +(-3.26984 - 0.960110i) q^{83} +(-0.142315 - 0.989821i) q^{84} +(8.91223 + 10.2853i) q^{85} +(1.01827 + 2.22969i) q^{86} +(-4.82918 + 1.41797i) q^{87} +(2.36955 - 5.18859i) q^{88} +(1.40751 - 9.78946i) q^{89} +(-3.06425 + 1.96927i) q^{90} +2.86613 q^{91} +(-4.55383 + 1.50419i) q^{92} +10.5348 q^{93} +(8.78140 - 5.64347i) q^{94} +(1.18137 - 8.21663i) q^{95} +(0.415415 - 0.909632i) q^{96} +(-14.7326 + 4.32588i) q^{97} +(0.415415 + 0.909632i) q^{98} +(-3.73536 - 4.31083i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$1$	$e\left(\frac{10}{11}\right)$

Coefficient data

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

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

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

$2$	0.841254	−	0.540641i	0.594856	−	0.382291i
$2$	0.841254	−	0.540641i	0.594856	−	0.382291i
$3$	−0.142315	+	0.989821i	−0.0821655	+	0.571474i
$3$	−0.142315	+	0.989821i	−0.0821655	+	0.571474i
$4$	0.415415	−	0.909632i	0.207708	−	0.454816i
$5$	3.49494	−	1.02621i	1.56298	−	0.458933i	0.618034	−	0.786151i	$-0.287929\pi$
$5$	3.49494	−	1.02621i	1.56298	−	0.458933i	0.944949	+	0.327218i	$0.106111\pi$
$6$	0.415415	+	0.909632i	0.169592	+	0.371356i
$7$	−0.654861	−	0.755750i	−0.247514	−	0.285646i
$7$	−0.654861	−	0.755750i	−0.247514	−	0.285646i
$8$	−0.142315	−	0.989821i	−0.0503159	−	0.349955i
$9$	−0.959493	−	0.281733i	−0.319831	−	0.0939109i
$10$	2.38532	−	2.75280i	0.754304	−	0.870513i
$11$	4.79855	+	3.08384i	1.44682	+	0.929813i	0.999370	+	0.0355034i	$0.0113035\pi$
$11$	4.79855	+	3.08384i	1.44682	+	0.929813i	0.447448	+	0.894310i	$0.352333\pi$
$12$	0.841254	+	0.540641i	0.242849	+	0.156070i
$13$	−1.87692	+	2.16608i	−0.520563	+	0.600762i	−0.953772	−	0.300532i	$-0.902836\pi$
$13$	−1.87692	+	2.16608i	−0.520563	+	0.600762i	0.433209	+	0.901294i	$0.357381\pi$
$14$	−0.959493	−	0.281733i	−0.256435	−	0.0752962i
$15$	0.518379	+	3.60541i	0.133845	+	0.930912i
$16$	−0.654861	−	0.755750i	−0.163715	−	0.188937i
$17$	1.55211	+	3.39865i	0.376442	+	0.824293i	0.999125	+	0.0418187i	$0.0133152\pi$
$17$	1.55211	+	3.39865i	0.376442	+	0.824293i	−0.622683	+	0.782474i	$0.713958\pi$
$18$	−0.959493	+	0.281733i	−0.226155	+	0.0664050i
$19$	0.946720	−	2.07303i	0.217192	−	0.475585i	−0.769404	−	0.638762i	$-0.779447\pi$
$19$	0.946720	−	2.07303i	0.217192	−	0.475585i	0.986597	+	0.163177i	$0.0521742\pi$
$20$	0.518379	−	3.60541i	0.115913	−	0.806194i
$21$	0.841254	−	0.540641i	0.183577	−	0.117977i
$22$	5.70405			1.21611
$23$	−3.25999	−	3.51745i	−0.679755	−	0.733439i
$23$	−3.25999	−	3.51745i	−0.679755	−	0.733439i
$24$	1.00000			0.204124
$25$	6.95522	−	4.46985i	1.39104	−	0.893969i
$26$	−0.407893	+	2.83696i	−0.0799944	+	0.556373i
$27$	0.415415	−	0.909632i	0.0799467	−	0.175059i
$28$	−0.959493	+	0.281733i	−0.181327	+	0.0532424i
$29$	2.09080	+	4.57822i	0.388253	+	0.850155i	0.998328	+	0.0578110i	$0.0184121\pi$
$29$	2.09080	+	4.57822i	0.388253	+	0.850155i	−0.610075	+	0.792344i	$0.708861\pi$
$30$	2.38532	+	2.75280i	0.435498	+	0.502591i
$31$	−1.49926	−	10.4276i	−0.269276	−	1.87285i	−0.455341	−	0.890317i	$-0.650483\pi$
$31$	−1.49926	−	10.4276i	−0.269276	−	1.87285i	0.186065	−	0.982537i	$-0.440427\pi$
$32$	−0.959493	−	0.281733i	−0.169616	−	0.0498038i
$33$	−3.73536	+	4.31083i	−0.650242	+	0.750420i
$34$	3.14316	+	2.01999i	0.539048	+	0.346425i
$35$	−3.06425	−	1.96927i	−0.517953	−	0.332868i
$36$	−0.654861	+	0.755750i	−0.109143	+	0.125958i
$37$	−5.63467	−	1.65449i	−0.926335	−	0.271996i	−0.216433	−	0.976297i	$-0.569442\pi$
$37$	−5.63467	−	1.65449i	−0.926335	−	0.271996i	−0.709901	+	0.704301i	$0.751261\pi$
$38$	−0.324332	−	2.25578i	−0.0526135	−	0.365935i
$39$	−1.87692	−	2.16608i	−0.300547	−	0.346850i
$40$	−1.51314	−	3.31332i	−0.239249	−	0.523882i
$41$	−4.72719	+	1.38803i	−0.738263	+	0.216774i	−0.629181	−	0.777259i	$-0.716609\pi$
$41$	−4.72719	+	1.38803i	−0.738263	+	0.216774i	−0.109082	+	0.994033i	$0.534791\pi$
$42$	0.415415	−	0.909632i	0.0640999	−	0.140359i
$43$	−0.348842	+	2.42625i	−0.0531980	+	0.370000i	0.945780	+	0.324807i	$0.105299\pi$
$43$	−0.348842	+	2.42625i	−0.0531980	+	0.370000i	−0.998978	+	0.0451930i	$0.985610\pi$
$44$	4.79855	−	3.08384i	0.723409	−	0.464907i
$45$	−3.64248			−0.542989
$46$	−4.64416	−	1.19658i	−0.684744	−	0.176427i
$47$	10.4385			1.52261			0.761304	−	0.648395i	$-0.224559\pi$
$47$	10.4385			1.52261			0.761304	+	0.648395i	$0.224559\pi$
$48$	0.841254	−	0.540641i	0.121424	−	0.0780348i
$49$	−0.142315	+	0.989821i	−0.0203307	+	0.141403i
$50$	3.43452	−	7.52055i	0.485714	−	1.06357i
$51$	−3.58494	+	1.05263i	−0.501992	+	0.147398i
$52$	1.19063	+	2.60712i	0.165111	+	0.361543i
$53$	−0.195591	−	0.225724i	−0.0268665	−	0.0310056i	0.742157	−	0.670226i	$-0.233803\pi$
$53$	−0.195591	−	0.225724i	−0.0268665	−	0.0310056i	−0.769024	+	0.639220i	$0.779257\pi$
$54$	−0.142315	−	0.989821i	−0.0193666	−	0.134698i
$55$	19.9353	+	5.85353i	2.68807	+	0.789290i
$56$	−0.654861	+	0.755750i	−0.0875094	+	0.100991i
$57$	1.91719	+	1.23211i	0.253939	+	0.163196i
$58$	4.23407	+	2.72107i	0.555961	+	0.357294i
$59$	7.80138	−	9.00327i	1.01565	−	1.17213i	0.0306607	−	0.999530i	$-0.490239\pi$
$59$	7.80138	−	9.00327i	1.01565	−	1.17213i	0.984993	−	0.172597i	$-0.0552157\pi$
$60$	3.49494	+	1.02621i	0.451194	+	0.132483i
$61$	1.86199	+	12.9504i	0.238403	+	1.65813i	0.659941	+	0.751317i	$0.270581\pi$
$61$	1.86199	+	12.9504i	0.238403	+	1.65813i	−0.421538	+	0.906811i	$0.638510\pi$
$62$	−6.89886	−	7.96170i	−0.876156	−	1.01114i
$63$	0.415415	+	0.909632i	0.0523374	+	0.114603i
$64$	−0.959493	+	0.281733i	−0.119937	+	0.0352166i
$65$	−4.33686	+	9.49640i	−0.537922	+	1.17788i
$66$	−0.811771	+	5.64599i	−0.0999221	+	0.694973i
$67$	−9.78494	+	6.28840i	−1.19542	+	0.768250i	−0.978158	−	0.207863i	$-0.933349\pi$
$67$	−9.78494	+	6.28840i	−1.19542	+	0.768250i	−0.217263	+	0.976113i	$0.569713\pi$
$68$	3.73629			0.453091
$69$	3.94559	−	2.72622i	0.474994	−	0.328199i
$70$	−3.64248			−0.435360
$71$	−7.55590	+	4.85588i	−0.896721	+	0.576287i	−0.905816	−	0.423671i	$-0.860741\pi$
$71$	−7.55590	+	4.85588i	−0.896721	+	0.576287i	0.00909526	+	0.999959i	$0.497105\pi$
$72$	−0.142315	+	0.989821i	−0.0167720	+	0.116652i
$73$	1.39695	−	3.05890i	0.163501	−	0.358017i	−0.810094	−	0.586300i	$-0.800584\pi$
$73$	1.39695	−	3.05890i	0.163501	−	0.358017i	0.973595	+	0.228283i	$0.0733113\pi$
$74$	−5.63467	+	1.65449i	−0.655017	+	0.192330i
$75$	3.43452	+	7.52055i	0.396584	+	0.868398i
$76$	−1.49241	−	1.72233i	−0.171191	−	0.197565i
$77$	−0.811771	−	5.64599i	−0.0925099	−	0.643420i
$78$	−2.75003	−	0.807482i	−0.311380	−	0.0914294i
$79$	8.93801	−	10.3150i	1.00560	−	1.16053i	0.0186020	−	0.999827i	$-0.494078\pi$
$79$	8.93801	−	10.3150i	1.00560	−	1.16053i	0.987003	−	0.160703i	$-0.0513761\pi$
$80$	−3.06425	−	1.96927i	−0.342594	−	0.220172i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	−3.22634	+	3.72339i	−0.356290	+	0.411180i
$83$	−3.26984	−	0.960110i	−0.358911	−	0.105386i	0.0973055	−	0.995255i	$-0.468978\pi$
$83$	−3.26984	−	0.960110i	−0.358911	−	0.105386i	−0.456217	+	0.889869i	$0.650796\pi$
$84$	−0.142315	−	0.989821i	−0.0155278	−	0.107998i
$85$	8.91223	+	10.2853i	0.966668	+	1.11559i
$86$	1.01827	+	2.22969i	0.109802	+	0.240434i
$87$	−4.82918	+	1.41797i	−0.517742	+	0.152023i
$88$	2.36955	−	5.18859i	0.252595	−	0.553105i
$89$	1.40751	−	9.78946i	0.149196	−	1.03768i	−0.768344	−	0.640037i	$-0.778919\pi$
$89$	1.40751	−	9.78946i	0.149196	−	1.03768i	0.917540	−	0.397644i	$-0.130172\pi$
$90$	−3.06425	+	1.96927i	−0.323000	+	0.207580i
$91$	2.86613			0.300452
$92$	−4.55383	+	1.50419i	−0.474770	+	0.156823i
$93$	10.5348			1.09241
$94$	8.78140	−	5.64347i	0.905733	−	0.582079i
$95$	1.18137	−	8.21663i	0.121206	−	0.843008i
$96$	0.415415	−	0.909632i	0.0423981	−	0.0928389i
$97$	−14.7326	+	4.32588i	−1.49587	+	0.439227i	−0.924409	−	0.381403i	$-0.875441\pi$
$97$	−14.7326	+	4.32588i	−1.49587	+	0.439227i	−0.571460	+	0.820630i	$0.693623\pi$
$98$	0.415415	+	0.909632i	0.0419633	+	0.0918867i
$99$	−3.73536	−	4.31083i	−0.375418	−	0.433255i
$100$	−1.17661	−	8.18353i	−0.117661	−	0.818353i
$101$	−17.9194	−	5.26161i	−1.78305	−	0.523550i	−0.787374	−	0.616475i	$-0.788560\pi$
$101$	−17.9194	−	5.26161i	−1.78305	−	0.523550i	−0.995673	+	0.0929252i	$0.970378\pi$
$102$	−2.44675	+	2.82370i	−0.242264	+	0.279588i
$103$	−4.21310	−	2.70759i	−0.415129	−	0.266787i	0.316362	−	0.948639i	$-0.397539\pi$
$103$	−4.21310	−	2.70759i	−0.415129	−	0.266787i	−0.731491	+	0.681851i	$0.761175\pi$
$104$	2.41114	+	1.54955i	0.236432	+	0.151946i
$105$	2.38532	−	2.75280i	0.232783	−	0.268646i
$106$	−0.286577	−	0.0841467i	−0.0278348	−	0.00817305i
$107$	1.32860	+	9.24065i	0.128441	+	0.893327i	0.947531	+	0.319663i	$0.103570\pi$
$107$	1.32860	+	9.24065i	0.128441	+	0.893327i	−0.819090	+	0.573665i	$0.805521\pi$
$108$	−0.654861	−	0.755750i	−0.0630140	−	0.0727220i
$109$	2.98749	+	6.54170i	0.286150	+	0.626581i	0.997054	−	0.0767083i	$-0.0244410\pi$
$109$	2.98749	+	6.54170i	0.286150	+	0.626581i	−0.710903	+	0.703290i	$0.751714\pi$
$110$	19.9353	−	5.85353i	1.90076	−	0.558112i
$111$	2.43955	−	5.34186i	0.231552	−	0.507027i
$112$	−0.142315	+	0.989821i	−0.0134475	+	0.0935293i
$113$	−5.75654	+	3.69951i	−0.541530	+	0.348020i	−0.782637	−	0.622478i	$-0.786126\pi$
$113$	−5.75654	+	3.69951i	−0.541530	+	0.348020i	0.241107	+	0.970499i	$0.422490\pi$
$114$	2.27897			0.213445
$115$	−15.0031	−	8.94784i	−1.39905	−	0.834391i
$116$	5.03305			0.467307
$117$	2.41114	−	1.54955i	0.222910	−	0.143256i
$118$	1.69540	−	11.7918i	0.156074	−	1.08552i
$119$	1.55211	−	3.39865i	0.142282	−	0.311553i
$120$	3.49494	−	1.02621i	0.319043	−	0.0936794i
$121$	8.94645	+	19.5900i	0.813314	+	1.78091i
$122$	8.56791	+	9.88790i	0.775703	+	0.895208i
$123$	−0.701151	−	4.87661i	−0.0632206	−	0.439709i
$124$	−10.1081	−	2.96801i	−0.907735	−	0.266535i
$125$	7.79446	−	8.99529i	0.697158	−	0.804563i
$126$	0.841254	+	0.540641i	0.0749448	+	0.0481641i
$127$	0.921157	+	0.591992i	0.0817395	+	0.0525308i	0.580872	−	0.813995i	$-0.302712\pi$
$127$	0.921157	+	0.591992i	0.0817395	+	0.0525308i	−0.499133	+	0.866526i	$0.666348\pi$
$128$	−0.654861	+	0.755750i	−0.0578821	+	0.0667995i
$129$	−2.35191	−	0.690583i	−0.207074	−	0.0608025i
$130$	1.48574	+	10.3336i	0.130308	+	0.906314i
$131$	−5.34174	−	6.16469i	−0.466710	−	0.538612i	0.472784	−	0.881179i	$-0.343249\pi$
$131$	−5.34174	−	6.16469i	−0.466710	−	0.538612i	−0.939494	+	0.342567i	$0.888704\pi$
$132$	2.36955	+	5.18859i	0.206243	+	0.451608i
$133$	−2.18666	+	0.642061i	−0.189607	+	0.0556737i
$134$	−4.83185	+	10.5803i	−0.417408	+	0.913997i
$135$	0.518379	−	3.60541i	0.0446150	−	0.310304i
$136$	3.14316	−	2.01999i	0.269524	−	0.173213i
$137$	15.2407			1.30210			0.651049	−	0.759036i	$-0.274329\pi$
$137$	15.2407			1.30210			0.651049	+	0.759036i	$0.274329\pi$
$138$	1.84534	−	4.42659i	0.157085	−	0.376817i
$139$	−9.56307			−0.811129			−0.405564	−	0.914066i	$-0.632925\pi$
$139$	−9.56307			−0.811129			−0.405564	+	0.914066i	$0.632925\pi$
$140$	−3.06425	+	1.96927i	−0.258977	+	0.166434i
$141$	−1.48555	+	10.3322i	−0.125106	+	0.870130i
$142$	−3.73114	+	8.17006i	−0.313110	+	0.685616i
$143$	−15.6863	+	4.60592i	−1.31176	+	0.385166i
$144$	0.415415	+	0.909632i	0.0346179	+	0.0758027i
$145$	12.0054	+	13.8550i	0.996997	+	1.15060i
$146$	−0.478574	−	3.32856i	−0.0396071	−	0.275473i
$147$	−0.959493	−	0.281733i	−0.0791376	−	0.0232369i
$148$	−3.84570	+	4.43818i	−0.316115	+	0.364816i
$149$	−4.05519	−	2.60611i	−0.332214	−	0.213501i	0.363890	−	0.931442i	$-0.381448\pi$
$149$	−4.05519	−	2.60611i	−0.332214	−	0.213501i	−0.696104	+	0.717941i	$0.745085\pi$
$150$	6.95522	+	4.46985i	0.567891	+	0.364961i
$151$	11.8222	−	13.6435i	0.962075	−	1.11029i	−0.0317674	−	0.999495i	$-0.510114\pi$
$151$	11.8222	−	13.6435i	0.962075	−	1.11029i	0.993843	−	0.110799i	$-0.0353410\pi$
$152$	−2.18666	−	0.642061i	−0.177361	−	0.0520780i
$153$	−0.531729	−	3.69826i	−0.0429877	−	0.298986i
$154$	−3.73536	−	4.31083i	−0.301004	−	0.347377i
$155$	−15.9407	−	34.9053i	−1.28039	−	2.80366i
$156$	−2.75003	+	0.807482i	−0.220179	+	0.0646503i
$157$	−7.55746	+	16.5485i	−0.603151	+	1.32072i	0.324011	+	0.946053i	$0.394969\pi$
$157$	−7.55746	+	16.5485i	−0.603151	+	1.32072i	−0.927161	+	0.374662i	$0.877759\pi$
$158$	1.94242	−	13.5098i	0.154530	−	1.07478i
$159$	0.251262	−	0.161476i	0.0199264	−	0.0128059i
$160$	−3.64248			−0.287964
$161$	−0.523471	+	4.76718i	−0.0412553	+	0.375706i
$162$	1.00000			0.0785674
$163$	−15.6208	+	10.0389i	−1.22352	+	0.786307i	−0.982869	−	0.184305i	$-0.940996\pi$
$163$	−15.6208	+	10.0389i	−1.22352	+	0.786307i	−0.240649	+	0.970612i	$0.577360\pi$
$164$	−0.701151	+	4.87661i	−0.0547507	+	0.380799i
$165$	−8.63104	+	18.8993i	−0.671925	+	1.47131i
$166$	−3.26984	+	0.960110i	−0.253788	+	0.0745190i
$167$	−2.81492	−	6.16382i	−0.217825	−	0.476970i	0.768900	−	0.639369i	$-0.220804\pi$
$167$	−2.81492	−	6.16382i	−0.217825	−	0.476970i	−0.986725	+	0.162398i	$0.948077\pi$
$168$	−0.654861	−	0.755750i	−0.0505236	−	0.0583073i
$169$	0.681019	+	4.73659i	0.0523861	+	0.364353i
$170$	13.0581	+	3.83420i	1.00151	+	0.294070i
$171$	−1.49241	+	1.72233i	−0.114127	+	0.131710i
$172$	2.06208	+	1.32522i	0.157232	+	0.101047i
$173$	−6.05017	−	3.88821i	−0.459986	−	0.295615i	0.290051	−	0.957011i	$-0.406328\pi$
$173$	−6.05017	−	3.88821i	−0.459986	−	0.295615i	−0.750037	+	0.661396i	$0.769964\pi$
$174$	−3.29595	+	3.80373i	−0.249865	+	0.288360i
$175$	−7.93278	−	2.32927i	−0.599662	−	0.176077i
$176$	−0.811771	−	5.64599i	−0.0611895	−	0.425583i
$177$	7.80138	+	9.00327i	0.586388	+	0.676727i
$178$	−4.10851	−	8.99638i	−0.307946	−	0.674307i
$179$	−12.9483	+	3.80196i	−0.967799	+	0.284172i	−0.727179	−	0.686448i	$-0.759169\pi$
$179$	−12.9483	+	3.80196i	−0.967799	+	0.284172i	−0.240620	+	0.970619i	$0.577351\pi$
$180$	−1.51314	+	3.31332i	−0.112783	+	0.246960i
$181$	1.95131	−	13.5717i	0.145040	−	1.00878i	−0.779149	−	0.626839i	$-0.784348\pi$
$181$	1.95131	−	13.5717i	0.145040	−	1.00878i	0.924189	−	0.381936i	$-0.124743\pi$
$182$	2.41114	−	1.54955i	0.178726	−	0.114860i
$183$	−13.0836			−0.967165
$184$	−3.01770	+	3.72739i	−0.222468	+	0.274787i
$185$	−21.3907			−1.57267
$186$	8.86247	−	5.69557i	0.649828	−	0.417619i
$187$	−3.03301	+	21.0950i	−0.221796	+	1.54262i
$188$	4.33630	−	9.49517i	0.316257	−	0.692507i
$189$	−0.959493	+	0.281733i	−0.0697928	+	0.0204930i
$190$	−3.44841	−	7.55096i	−0.250174	−	0.547805i
$191$	2.93088	+	3.38242i	0.212071	+	0.244743i	0.851812	−	0.523848i	$-0.175504\pi$
$191$	2.93088	+	3.38242i	0.212071	+	0.244743i	−0.639741	+	0.768591i	$0.720958\pi$
$192$	−0.142315	−	0.989821i	−0.0102707	−	0.0714342i
$193$	7.95628	+	2.33617i	0.572705	+	0.168161i	0.555246	−	0.831686i	$-0.312624\pi$
$193$	7.95628	+	2.33617i	0.572705	+	0.168161i	0.0174593	+	0.999848i	$0.494442\pi$
$194$	−10.0551	+	11.6042i	−0.721914	+	0.833134i
$195$	−8.78254	−	5.64420i	−0.628931	−	0.404189i
$196$	0.841254	+	0.540641i	0.0600895	+	0.0386172i
$197$	−10.2284	+	11.8042i	−0.728745	+	0.841016i	−0.992330	−	0.123620i	$-0.960550\pi$
$197$	−10.2284	+	11.8042i	−0.728745	+	0.841016i	0.263585	+	0.964636i	$0.415095\pi$
$198$	−5.47299	−	1.60702i	−0.388949	−	0.114206i
$199$	−3.24072	−	22.5397i	−0.229729	−	1.59780i	−0.699251	−	0.714876i	$-0.746483\pi$
$199$	−3.24072	−	22.5397i	−0.229729	−	1.59780i	0.469522	−	0.882921i	$-0.344426\pi$
$200$	−5.41418	−	6.24830i	−0.382840	−	0.441821i
$201$	−4.83185	−	10.5803i	−0.340813	−	0.746275i
$202$	−17.9194	+	5.26161i	−1.26080	+	0.370206i
$203$	2.09080	−	4.57822i	0.146746	−	0.321328i
$204$	−0.531729	+	3.69826i	−0.0372285	+	0.258930i
$205$	−15.0968	+	9.70214i	−1.05441	+	0.677627i
$206$	−5.00812			−0.348932
$207$	2.13696	+	4.29341i	0.148529	+	0.298413i
$208$	2.86613			0.198730
$209$	10.9358	−	7.02799i	0.756443	−	0.486136i
$210$	0.518379	−	3.60541i	0.0357716	−	0.248797i
$211$	−10.6549	+	23.3309i	−0.733511	+	1.60616i	0.0604318	+	0.998172i	$0.480752\pi$
$211$	−10.6549	+	23.3309i	−0.733511	+	1.60616i	−0.793943	+	0.607993i	$0.791975\pi$
$212$	−0.286577	+	0.0841467i	−0.0196822	+	0.00577922i
$213$	−3.73114	−	8.17006i	−0.255654	−	0.559803i
$214$	6.11356	+	7.05543i	0.417915	+	0.482299i
$215$	1.27065	+	8.83758i	0.0866578	+	0.602718i
$216$	−0.959493	−	0.281733i	−0.0652852	−	0.0191695i
$217$	−6.89886	+	7.96170i	−0.468325	+	0.540476i
$218$	6.04995	+	3.88807i	0.409754	+	0.263333i
$219$	2.82895	+	1.81806i	0.191163	+	0.122853i
$220$	13.6060	−	15.7021i	0.917315	−	1.05864i
$221$	−10.2749	−	3.01698i	−0.691165	−	0.202944i
$222$	−0.835751	−	5.81278i	−0.0560920	−	0.390128i
$223$	6.82755	+	7.87942i	0.457207	+	0.527645i	0.936809	−	0.349841i	$-0.113764\pi$
$223$	6.82755	+	7.87942i	0.457207	+	0.527645i	−0.479602	+	0.877486i	$0.659219\pi$
$224$	0.415415	+	0.909632i	0.0277561	+	0.0607773i
$225$	−7.93278	+	2.32927i	−0.528852	+	0.155285i
$226$	−2.84261	+	6.22444i	−0.189087	+	0.414044i
$227$	1.42648	−	9.92137i	0.0946787	−	0.658505i	−0.886116	−	0.463463i	$-0.846607\pi$
$227$	1.42648	−	9.92137i	0.0946787	−	0.658505i	0.980795	−	0.195042i	$-0.0624842\pi$
$228$	1.91719	−	1.23211i	0.126969	−	0.0815982i
$229$	−1.91066			−0.126260			−0.0631301	−	0.998005i	$-0.520108\pi$
$229$	−1.91066			−0.126260			−0.0631301	+	0.998005i	$0.520108\pi$
$230$	−17.4590	+	0.583878i	−1.15121	+	0.0384998i
$231$	5.70405			0.375299
$232$	4.23407	−	2.72107i	0.277980	−	0.178647i
$233$	0.223835	−	1.55680i	0.0146639	−	0.101990i	−0.981175	−	0.193121i	$-0.938139\pi$
$233$	0.223835	−	1.55680i	0.0146639	−	0.101990i	0.995839	+	0.0911310i	$0.0290482\pi$
$234$	1.19063	−	2.60712i	0.0778341	−	0.170433i
$235$	36.4818	−	10.7120i	2.37981	−	0.698775i
$236$	−4.94886	−	10.8365i	−0.322143	−	0.705395i
$237$	8.93801	+	10.3150i	0.580586	+	0.670032i
$238$	−0.531729	−	3.69826i	−0.0344669	−	0.239722i
$239$	0.450614	+	0.132312i	0.0291478	+	0.00855856i	0.296274	−	0.955103i	$-0.404256\pi$
$239$	0.450614	+	0.132312i	0.0291478	+	0.00855856i	−0.267126	+	0.963662i	$0.586074\pi$
$240$	2.38532	−	2.75280i	0.153972	−	0.177693i
$241$	5.87469	+	3.77544i	0.378422	+	0.243197i	0.716000	−	0.698100i	$-0.245971\pi$
$241$	5.87469	+	3.77544i	0.378422	+	0.243197i	−0.337577	+	0.941298i	$0.609607\pi$
$242$	18.1174	+	11.6433i	1.16463	+	0.748462i
$243$	−0.654861	+	0.755750i	−0.0420093	+	0.0484814i
$244$	12.5536	+	3.68607i	0.803661	+	0.235976i
$245$	0.518379	+	3.60541i	0.0331180	+	0.230341i
$246$	−3.22634	−	3.72339i	−0.205704	−	0.237395i
$247$	2.71342	+	5.94156i	0.172651	+	0.378053i
$248$	−10.1081	+	2.96801i	−0.641866	+	0.188469i
$249$	1.41568	−	3.09992i	0.0897153	−	0.196449i
$250$	1.69390	−	11.7813i	0.107132	−	0.745116i
$251$	−13.0267	+	8.37173i	−0.822236	+	0.528419i	−0.882802	−	0.469745i	$-0.844346\pi$
$251$	−13.0267	+	8.37173i	−0.822236	+	0.528419i	0.0605663	+	0.998164i	$0.480709\pi$
$252$	1.00000			0.0629941
$253$	−4.79598	−	26.9320i	−0.301520	−	1.69320i
$254$	1.09498			0.0687052
$255$	−11.4489	+	7.35777i	−0.716959	+	0.460762i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	11.2196	−	24.5676i	0.699862	−	1.53248i	−0.140278	−	0.990112i	$-0.544800\pi$
$257$	11.2196	−	24.5676i	0.699862	−	1.53248i	0.840139	−	0.542371i	$-0.182473\pi$
$258$	−2.35191	+	0.690583i	−0.146424	+	0.0429938i
$259$	2.43955	+	5.34186i	0.151586	+	0.331927i
$260$	6.83663	+	7.88990i	0.423990	+	0.489311i
$261$	−0.716278	−	4.98182i	−0.0443365	−	0.308367i
$262$	−7.82664	−	2.29811i	−0.483532	−	0.141978i
$263$	1.72289	−	1.98832i	0.106238	−	0.122605i	−0.700140	−	0.714005i	$-0.746879\pi$
$263$	1.72289	−	1.98832i	0.106238	−	0.122605i	0.806378	+	0.591400i	$0.201425\pi$
$264$	4.79855	+	3.08384i	0.295330	+	0.189797i
$265$	−0.915217	−	0.588175i	−0.0562214	−	0.0361313i
$266$	−1.49241	+	1.72233i	−0.0915055	+	0.105603i
$267$	9.48951	+	2.78637i	0.580748	+	0.170523i
$268$	1.65532	+	11.5130i	0.101115	+	0.703268i
$269$	−8.59355	−	9.91748i	−0.523958	−	0.604680i	0.430660	−	0.902514i	$-0.358281\pi$
$269$	−8.59355	−	9.91748i	−0.523958	−	0.604680i	−0.954617	+	0.297835i	$0.903736\pi$
$270$	−1.51314	−	3.31332i	−0.0920869	−	0.201642i
$271$	−24.0603	+	7.06475i	−1.46156	+	0.429153i	−0.913346	−	0.407185i	$-0.866510\pi$
$271$	−24.0603	+	7.06475i	−1.46156	+	0.429153i	−0.548214	+	0.836338i	$0.684692\pi$
$272$	1.55211	−	3.39865i	0.0941105	−	0.206073i
$273$	−0.407893	+	2.83696i	−0.0246868	+	0.171700i
$274$	12.8213	−	8.23972i	0.774561	−	0.497780i
$275$	47.1593			2.84381
$276$	−0.840802	−	4.72155i	−0.0506103	−	0.284204i
$277$	11.7931			0.708579			0.354290	−	0.935136i	$-0.384723\pi$
$277$	11.7931			0.708579			0.354290	+	0.935136i	$0.384723\pi$
$278$	−8.04497	+	5.17019i	−0.482505	+	0.310087i
$279$	−1.49926	+	10.4276i	−0.0897586	+	0.624285i
$280$	−1.51314	+	3.31332i	−0.0904275	+	0.198009i
$281$	2.18401	−	0.641284i	0.130287	−	0.0382558i	−0.215939	−	0.976407i	$-0.569281\pi$
$281$	2.18401	−	0.641284i	0.130287	−	0.0382558i	0.346226	+	0.938151i	$0.387463\pi$
$282$	4.33630	+	9.49517i	0.258223	+	0.565429i
$283$	15.7044	+	18.1238i	0.933529	+	1.07735i	0.996846	+	0.0793560i	$0.0252864\pi$
$283$	15.7044	+	18.1238i	0.933529	+	1.07735i	−0.0633178	+	0.997993i	$0.520168\pi$
$284$	1.27823	+	8.89030i	0.0758491	+	0.527542i
$285$	7.96487	+	2.33870i	0.471798	+	0.138532i
$286$	−10.7060	+	12.3554i	−0.633060	+	0.730591i
$287$	4.14465	+	2.66361i	0.244651	+	0.157228i
$288$	0.841254	+	0.540641i	0.0495713	+	0.0318576i
$289$	1.99088	−	2.29760i	0.117111	−	0.135153i
$290$	17.5902	+	5.16495i	1.03293	+	0.303296i
$291$	−2.18518	−	15.1983i	−0.128098	−	0.890939i
$292$	−2.20215	−	2.54142i	−0.128871	−	0.148725i
$293$	4.50497	+	9.86450i	0.263183	+	0.576290i	0.994379	−	0.105877i	$-0.0337649\pi$
$293$	4.50497	+	9.86450i	0.263183	+	0.576290i	−0.731196	+	0.682167i	$0.761038\pi$
$294$	−0.959493	+	0.281733i	−0.0559588	+	0.0164310i
$295$	18.0261	−	39.4717i	1.04952	−	2.29813i
$296$	−0.835751	+	5.81278i	−0.0485771	+	0.337861i
$297$	4.79855	−	3.08384i	0.278440	−	0.178943i
$298$	−4.82041			−0.279239
$299$	13.7378	−	0.459432i	0.794477	−	0.0265696i
$300$	8.26768			0.477335
$301$	2.06208	−	1.32522i	0.118856	−	0.0763844i
$302$	2.56921	−	17.8692i	0.147841	−	1.02826i
$303$	7.75825	−	16.9882i	0.445700	−	0.975947i
$304$	−2.18666	+	0.642061i	−0.125413	+	0.0368247i
$305$	19.7973	+	43.3500i	1.13359	+	2.48222i
$306$	−2.44675	−	2.82370i	−0.139871	−	0.161420i
$307$	−3.00833	−	20.9234i	−0.171694	−	1.19416i	−0.875303	−	0.483574i	$-0.839338\pi$
$307$	−3.00833	−	20.9234i	−0.171694	−	1.19416i	0.703609	−	0.710587i	$-0.251571\pi$
$308$	−5.47299	−	1.60702i	−0.311853	−	0.0915683i
$309$	3.27962	−	3.78489i	0.186571	−	0.215315i
$310$	−32.2814	−	20.7460i	−1.83346	−	1.17829i
$311$	13.0581	+	8.39191i	0.740455	+	0.475861i	0.855698	−	0.517476i	$-0.173128\pi$
$311$	13.0581	+	8.39191i	0.740455	+	0.475861i	−0.115243	+	0.993337i	$0.536765\pi$
$312$	−1.87692	+	2.16608i	−0.106259	+	0.122630i
$313$	−7.16336	−	2.10335i	−0.404897	−	0.118888i	0.0729415	−	0.997336i	$-0.476761\pi$
$313$	−7.16336	−	2.10335i	−0.404897	−	0.118888i	−0.477838	+	0.878448i	$0.658580\pi$
$314$	2.58907	+	18.0074i	0.146110	+	1.01621i
$315$	2.38532	+	2.75280i	0.134397	+	0.155103i
$316$	−5.66988	−	12.4153i	−0.318956	−	0.698416i
$317$	−17.1902	+	5.04751i	−0.965500	+	0.283496i	−0.726226	−	0.687456i	$-0.758727\pi$
$317$	−17.1902	+	5.04751i	−0.965500	+	0.283496i	−0.239274	+	0.970952i	$0.576909\pi$
$318$	0.124074	−	0.271685i	0.00695775	−	0.0152353i
$319$	−4.08568	+	28.4165i	−0.228754	+	1.59102i
$320$	−3.06425	+	1.96927i	−0.171297	+	0.110086i
$321$	−9.33567			−0.521066
$322$	2.13696	+	4.29341i	0.119088	+	0.239263i
$323$	8.51490			0.473781
$324$	0.841254	−	0.540641i	0.0467363	−	0.0300356i
$325$	−3.37233	+	23.4551i	−0.187063	+	1.30105i
$326$	−7.71364	+	16.8905i	−0.427219	+	0.935479i
$327$	−6.90028	+	2.02611i	−0.381586	+	0.112044i
$328$	2.04665	+	4.48154i	0.113007	+	0.247451i
$329$	−6.83575	−	7.88887i	−0.376867	−	0.434928i
$330$	2.95686	+	20.5654i	0.162770	+	1.13209i
$331$	28.1537	+	8.26666i	1.54746	+	0.454377i	0.940342	−	0.340231i	$-0.110505\pi$
$331$	28.1537	+	8.26666i	1.54746	+	0.454377i	0.607123	+	0.794608i	$0.292324\pi$
$332$	−2.23169	+	2.57550i	−0.122480	+	0.141349i
$333$	4.94031	+	3.17494i	0.270727	+	0.173986i
$334$	−5.70047	−	3.66347i	−0.311916	−	0.200456i
$335$	−27.7446	+	32.0189i	−1.51585	+	1.74938i
$336$	−0.959493	−	0.281733i	−0.0523446	−	0.0153698i
$337$	0.532082	+	3.70071i	0.0289844	+	0.201591i	0.999168	−	0.0407797i	$-0.0129842\pi$
$337$	0.532082	+	3.70071i	0.0289844	+	0.201591i	−0.970184	+	0.242370i	$0.922075\pi$
$338$	3.13370	+	3.61649i	0.170451	+	0.196711i
$339$	−2.84261	−	6.22444i	−0.154389	−	0.338065i
$340$	13.0581	−	3.83420i	0.708174	−	0.207939i
$341$	24.9628	−	54.6609i	1.35181	−	2.96006i
$342$	−0.324332	+	2.25578i	−0.0175378	+	0.121978i
$343$	0.841254	−	0.540641i	0.0454234	−	0.0291919i
$344$	2.45120			0.132160
$345$	10.9919	−	13.5770i	0.591786	−	0.730960i
$346$	−7.19185			−0.386636
$347$	−26.4418	+	16.9931i	−1.41947	+	0.912236i	−0.419478	+	0.907766i	$0.637787\pi$
$347$	−26.4418	+	16.9931i	−1.41947	+	0.912236i	−0.999990	+	0.00447077i	$0.998577\pi$
$348$	−0.716278	+	4.98182i	−0.0383965	+	0.267054i
$349$	4.39292	−	9.61915i	0.235147	−	0.514901i	−0.754865	−	0.655880i	$-0.772298\pi$
$349$	4.39292	−	9.61915i	0.235147	−	0.514901i	0.990013	+	0.140979i	$0.0450250\pi$
$350$	−7.93278	+	2.32927i	−0.424025	+	0.124505i
$351$	1.19063	+	2.60712i	0.0635513	+	0.139158i
$352$	−3.73536	−	4.31083i	−0.199095	−	0.229768i
$353$	0.0127263	+	0.0885131i	0.000677351	+	0.00471108i	0.990157	−	0.139959i	$-0.0446970\pi$
$353$	0.0127263	+	0.0885131i	0.000677351	+	0.00471108i	−0.989480	+	0.144670i	$0.953788\pi$
$354$	11.4305	+	3.35629i	0.607523	+	0.178385i
$355$	−21.4243	+	24.7249i	−1.13708	+	1.31226i
$356$	−8.32010	−	5.34701i	−0.440965	−	0.283391i
$357$	3.14316	+	2.01999i	0.166354	+	0.106909i
$358$	−8.83729	+	10.1988i	−0.467065	+	0.539022i
$359$	−2.72263	−	0.799437i	−0.143695	−	0.0421927i	0.209094	−	0.977896i	$-0.432949\pi$
$359$	−2.72263	−	0.799437i	−0.143695	−	0.0421927i	−0.352789	+	0.935703i	$0.614767\pi$
$360$	0.518379	+	3.60541i	0.0273210	+	0.190022i
$361$	9.04119	+	10.4341i	0.475852	+	0.549163i
$362$	−5.69586	−	12.4722i	−0.299368	−	0.655524i
$363$	−20.6638	+	6.06744i	−1.08457	+	0.318458i
$364$	1.19063	−	2.60712i	0.0624062	−	0.136650i
$365$	1.74320	−	12.1242i	0.0912431	−	0.634610i
$366$	−11.0066	+	7.07351i	−0.575324	+	0.369738i
$367$	7.38271			0.385374			0.192687	−	0.981260i	$-0.438280\pi$
$367$	7.38271			0.385374			0.192687	+	0.981260i	$0.438280\pi$
$368$	−0.523471	+	4.76718i	−0.0272878	+	0.248506i
$369$	4.92676			0.256477
$370$	−17.9950	+	11.5647i	−0.935514	+	0.601219i
$371$	−0.0425060	+	0.295636i	−0.00220680	+	0.0153486i
$372$	4.37633	−	9.58283i	0.226902	−	0.496847i
$373$	14.0686	−	4.13090i	0.728443	−	0.213890i	0.103576	−	0.994622i	$-0.466971\pi$
$373$	14.0686	−	4.13090i	0.728443	−	0.213890i	0.624867	+	0.780731i	$0.285153\pi$
$374$	8.85331	+	19.3860i	0.457794	+	1.00243i
$375$	7.79446	+	8.99529i	0.402504	+	0.464515i
$376$	−1.48555	−	10.3322i	−0.0766114	−	0.532844i
$377$	−13.8410	−	4.06410i	−0.712850	−	0.209312i
$378$	−0.654861	+	0.755750i	−0.0336824	+	0.0388716i
$379$	−0.989596	−	0.635975i	−0.0508321	−	0.0326678i	0.514978	−	0.857203i	$-0.327800\pi$
$379$	−0.989596	−	0.635975i	−0.0508321	−	0.0326678i	−0.565810	+	0.824536i	$0.691436\pi$
$380$	−6.98335	−	4.48792i	−0.358238	−	0.230226i
$381$	−0.717060	+	0.827532i	−0.0367361	+	0.0423957i
$382$	4.29428	+	1.26092i	0.219715	+	0.0645141i
$383$	−1.08589	−	7.55254i	−0.0554865	−	0.385917i	−0.998575	−	0.0533740i	$-0.983002\pi$
$383$	−1.08589	−	7.55254i	−0.0554865	−	0.385917i	0.943088	−	0.332543i	$-0.107907\pi$
$384$	−0.654861	−	0.755750i	−0.0334182	−	0.0385667i
$385$	−8.63104	−	18.8993i	−0.439878	−	0.963199i
$386$	7.95628	−	2.33617i	0.404964	−	0.118908i
$387$	1.01827	−	2.22969i	0.0517614	−	0.113342i
$388$	−2.18518	+	15.1983i	−0.110936	+	0.771576i
$389$	4.48007	−	2.87916i	0.227148	−	0.145979i	−0.422117	−	0.906541i	$-0.638713\pi$
$389$	4.48007	−	2.87916i	0.227148	−	0.145979i	0.649265	+	0.760562i	$0.275076\pi$
$390$	−10.4398			−0.528641
$391$	6.89470	−	16.5390i	0.348680	−	0.836414i
$392$	1.00000			0.0505076
$393$	6.86216	−	4.41004i	0.346150	−	0.222457i
$394$	−2.22285	+	15.4602i	−0.111985	+	0.778876i
$395$	20.6525	−	45.2226i	1.03914	−	2.27539i
$396$	−5.47299	+	1.60702i	−0.275028	+	0.0807556i
$397$	−2.22150	−	4.86441i	−0.111494	−	0.244138i	0.845657	−	0.533726i	$-0.179209\pi$
$397$	−2.22150	−	4.86441i	−0.111494	−	0.244138i	−0.957151	+	0.289589i	$0.906481\pi$
$398$	−14.9122	−	17.2095i	−0.747479	−	0.862636i
$399$	−0.324332	−	2.25578i	−0.0162369	−	0.112930i
$400$	−7.93278	−	2.32927i	−0.396639	−	0.116464i
$401$	8.41361	−	9.70983i	0.420156	−	0.484886i	−0.505729	−	0.862693i	$-0.668776\pi$
$401$	8.41361	−	9.70983i	0.420156	−	0.484886i	0.925884	+	0.377807i	$0.123322\pi$
$402$	−9.78494	−	6.28840i	−0.488029	−	0.313637i
$403$	25.4010	+	16.3242i	1.26531	+	0.813168i
$404$	−12.2301	+	14.1143i	−0.608471	+	0.702213i
$405$	3.49494	+	1.02621i	0.173665	+	0.0509926i
$406$	−0.716278	−	4.98182i	−0.0355483	−	0.247244i
$407$	−21.9361	−	25.3156i	−1.08733	−	1.25485i
$408$	1.55211	+	3.39865i	0.0768409	+	0.168258i
$409$	−2.28659	+	0.671402i	−0.113064	+	0.0331987i	−0.337775	−	0.941227i	$-0.609674\pi$
$409$	−2.28659	+	0.671402i	−0.113064	+	0.0331987i	0.224711	+	0.974425i	$0.427856\pi$
$410$	−7.45488	+	16.3239i	−0.368170	+	0.806181i
$411$	−2.16897	+	15.0855i	−0.106988	+	0.744114i
$412$	−4.21310	+	2.70759i	−0.207565	+	0.133394i
$413$	−11.9130			−0.586202
$414$	4.11892	+	2.45652i	0.202434	+	0.120732i
$415$	−12.4131			−0.609337
$416$	2.41114	−	1.54955i	0.118216	−	0.0759728i
$417$	1.36097	−	9.46573i	0.0666468	−	0.463539i
$418$	5.40014	−	11.8246i	0.264129	−	0.578362i
$419$	33.2737	−	9.77005i	1.62553	−	0.477298i	0.663031	−	0.748592i	$-0.269270\pi$
$419$	33.2737	−	9.77005i	1.62553	−	0.477298i	0.962497	+	0.271294i	$0.0874514\pi$
$420$	−1.51314	−	3.31332i	−0.0738338	−	0.161673i
$421$	−7.82475	−	9.03024i	−0.381355	−	0.440107i	0.532326	−	0.846540i	$-0.321318\pi$
$421$	−7.82475	−	9.03024i	−0.381355	−	0.440107i	−0.913681	+	0.406432i	$0.866773\pi$
$422$	3.65019	+	25.3876i	0.177689	+	1.23585i
$423$	−10.0156	−	2.94086i	−0.486977	−	0.142989i
$424$	−0.195591	+	0.225724i	−0.00949874	+	0.0109621i
$425$	25.9867	+	16.7006i	1.26054	+	0.810099i
$426$	−7.55590	−	4.85588i	−0.366085	−	0.235268i
$427$	8.56791	−	9.88790i	0.414630	−	0.478509i
$428$	8.95751	+	2.63016i	0.432978	+	0.127134i
$429$	−2.32664	−	16.1821i	−0.112331	−	0.781281i
$430$	5.84690	+	6.74768i	0.281962	+	0.325402i
$431$	−5.64421	−	12.3591i	−0.271872	−	0.595317i	0.723616	−	0.690203i	$-0.242479\pi$
$431$	−5.64421	−	12.3591i	−0.271872	−	0.595317i	−0.995488	+	0.0948858i	$0.969751\pi$
$432$	−0.959493	+	0.281733i	−0.0461636	+	0.0135549i
$433$	−8.69179	+	19.0324i	−0.417701	+	0.914637i	0.577464	+	0.816416i	$0.304042\pi$
$433$	−8.69179	+	19.0324i	−0.417701	+	0.914637i	−0.995165	+	0.0982207i	$0.968685\pi$
$434$	−1.49926	+	10.4276i	−0.0719670	+	0.500542i
$435$	−15.4225	+	9.91146i	−0.739454	+	0.475218i
$436$	7.19159			0.344415
$437$	−10.3781	+	3.42801i	−0.496450	+	0.163984i
$438$	3.36278			0.160680
$439$	6.65953	−	4.27982i	0.317842	−	0.204265i	−0.371985	−	0.928239i	$-0.621323\pi$
$439$	6.65953	−	4.27982i	0.317842	−	0.204265i	0.689827	+	0.723974i	$0.257686\pi$
$440$	2.95686	−	20.5654i	0.140963	−	0.980418i
$441$	0.415415	−	0.909632i	0.0197817	−	0.0433158i
$442$	−10.2749	+	3.01698i	−0.488727	+	0.143503i
$443$	−0.591728	−	1.29570i	−0.0281138	−	0.0615607i	0.895054	−	0.445957i	$-0.147137\pi$
$443$	−0.591728	−	1.29570i	−0.0281138	−	0.0615607i	−0.923168	+	0.384397i	$0.874409\pi$
$444$	−3.84570	−	4.43818i	−0.182509	−	0.210627i
$445$	−5.12684	−	35.6579i	−0.243035	−	1.69035i
$446$	10.0036	+	2.93733i	0.473686	+	0.139087i
$447$	3.15670	−	3.64302i	0.149307	−	0.172309i
$448$	0.841254	+	0.540641i	0.0397455	+	0.0255429i
$449$	8.69503	+	5.58795i	0.410344	+	0.263712i	0.729487	−	0.683995i	$-0.239759\pi$
$449$	8.69503	+	5.58795i	0.410344	+	0.263712i	−0.319143	+	0.947706i	$0.603395\pi$
$450$	−5.41418	+	6.24830i	−0.255227	+	0.294547i
$451$	−26.9641	−	7.91738i	−1.26969	−	0.372815i
$452$	0.973834	+	6.77317i	0.0458053	+	0.318583i
$453$	11.8222	+	13.6435i	0.555455	+	0.641029i
$454$	−4.16387	−	9.11760i	−0.195420	−	0.427910i
$455$	10.0169	−	2.94124i	0.469602	−	0.137887i
$456$	0.946720	−	2.07303i	0.0443342	−	0.0970784i
$457$	3.49116	−	24.2815i	0.163310	−	1.13584i	−0.729031	−	0.684481i	$-0.760029\pi$
$457$	3.49116	−	24.2815i	0.163310	−	1.13584i	0.892341	−	0.451362i	$-0.149062\pi$
$458$	−1.60735	+	1.03298i	−0.0751066	+	0.0482681i
$459$	3.73629			0.174395
$460$	−14.3718	+	9.93022i	−0.670086	+	0.462999i
$461$	11.0795			0.516024			0.258012	−	0.966142i	$-0.416933\pi$
$461$	11.0795			0.516024			0.258012	+	0.966142i	$0.416933\pi$
$462$	4.79855	−	3.08384i	0.223249	−	0.143473i
$463$	2.74053	−	19.0608i	0.127363	−	0.885831i	−0.821514	−	0.570188i	$-0.806870\pi$
$463$	2.74053	−	19.0608i	0.127363	−	0.885831i	0.948878	−	0.315644i	$-0.102220\pi$
$464$	2.09080	−	4.57822i	0.0970632	−	0.212539i
$465$	36.8186	−	10.8109i	1.70742	−	0.501344i
$466$	−0.653370	−	1.43068i	−0.0302668	−	0.0662750i
$467$	23.3152	+	26.9072i	1.07890	+	1.24511i	0.967911	+	0.251293i	$0.0808556\pi$
$467$	23.3152	+	26.9072i	1.07890	+	1.24511i	0.110987	+	0.993822i	$0.464599\pi$
$468$	−0.407893	−	2.83696i	−0.0188549	−	0.131138i
$469$	11.1602	+	3.27694i	0.515332	+	0.151315i
$470$	24.8991	−	28.7351i	1.14851	−	1.32545i
$471$	−15.3045	−	9.83563i	−0.705196	−	0.453202i
$472$	−10.0219	−	6.44067i	−0.461295	−	0.296456i
$473$	−9.15612	+	10.5667i	−0.420999	+	0.485858i
$474$	13.0959	+	3.84529i	0.601512	+	0.176620i
$475$	−2.68147	−	18.6500i	−0.123034	−	0.855722i
$476$	−2.44675	−	2.82370i	−0.112146	−	0.129424i
$477$	0.124074	+	0.271685i	0.00568098	+	0.0124396i
$478$	0.450614	−	0.132312i	0.0206106	−	0.00605182i
$479$	10.0038	−	21.9052i	0.457084	−	1.00087i	−0.531058	−	0.847335i	$-0.678206\pi$
$479$	10.0038	−	21.9052i	0.457084	−	1.00087i	0.988143	−	0.153539i	$-0.0490672\pi$
$480$	0.518379	−	3.60541i	0.0236607	−	0.164564i
$481$	14.1596	−	9.09980i	0.645620	−	0.414915i
$482$	6.98326			0.318079
$483$	−4.64416	−	1.19658i	−0.211316	−	0.0544464i
$484$	21.5362			0.978917
$485$	−47.0503	+	30.2374i	−2.13644	+	1.37301i
$486$	−0.142315	+	0.989821i	−0.00645553	+	0.0448992i
$487$	8.90881	−	19.5076i	0.403697	−	0.883972i	−0.593185	−	0.805066i	$-0.702130\pi$
$487$	8.90881	−	19.5076i	0.403697	−	0.883972i	0.996882	−	0.0789065i	$-0.0251428\pi$
$488$	12.5536	−	3.68607i	0.568274	−	0.166860i
$489$	−7.71364	−	16.8905i	−0.348823	−	0.763815i
$490$	2.38532	+	2.75280i	0.107758	+	0.124359i
$491$	4.79315	+	33.3371i	0.216312	+	1.50448i	0.751491	+	0.659744i	$0.229335\pi$
$491$	4.79315	+	33.3371i	0.216312	+	1.50448i	−0.535179	+	0.844739i	$0.679756\pi$
$492$	−4.72719	−	1.38803i	−0.213118	−	0.0625771i
$493$	−12.3146	+	14.2118i	−0.554622	+	0.640068i
$494$	5.49493	+	3.53138i	0.247228	+	0.158884i
$495$	−17.4786	−	11.2328i	−0.785606	−	0.504879i
$496$	−6.89886	+	7.96170i	−0.309768	+	0.357491i
$497$	8.61790	+	2.53044i	0.386566	+	0.113506i
$498$	−0.484992	−	3.37319i	−0.0217330	−	0.151156i
$499$	−3.05547	−	3.52621i	−0.136782	−	0.157855i	0.683226	−	0.730207i	$-0.260576\pi$
$499$	−3.05547	−	3.52621i	−0.136782	−	0.157855i	−0.820008	+	0.572352i	$0.806031\pi$
$500$	−4.94446	−	10.8269i	−0.221123	−	0.484192i
$501$	6.50168	−	1.90907i	0.290474	−	0.0852908i
$502$	−6.43263	+	14.0855i	−0.287102	+	0.628666i
$503$	3.88144	−	26.9960i	0.173065	−	1.20369i	−0.699296	−	0.714832i	$-0.746503\pi$
$503$	3.88144	−	26.9960i	0.173065	−	1.20369i	0.872361	−	0.488862i	$-0.162588\pi$
$504$	0.841254	−	0.540641i	0.0374724	−	0.0240821i
$505$	−68.0267			−3.02715
$506$	−18.5951	−	20.0637i	−0.826655	−	0.891941i
$507$	−4.78530			−0.212523
$508$	0.921157	−	0.591992i	0.0408697	−	0.0262654i
$509$	−0.321080	+	2.23316i	−0.0142316	+	0.0989832i	−0.995699	−	0.0926452i	$-0.970468\pi$
$509$	−0.321080	+	2.23316i	−0.0142316	+	0.0989832i	0.981468	+	0.191628i	$0.0613768\pi$
$510$	−5.65353	+	12.3795i	−0.250343	+	0.548174i
$511$	−3.22657	+	0.947406i	−0.142735	+	0.0419108i
$512$	0.415415	+	0.909632i	0.0183589	+	0.0402004i
$513$	−1.49241	−	1.72233i	−0.0658915	−	0.0760429i
$514$	−3.84368	−	26.7333i	−0.169537	−	1.17916i
$515$	−17.5031	−	5.13936i	−0.771277	−	0.226467i
$516$	−1.60520	+	1.85249i	−0.0706648	+	0.0815515i
$517$	50.0896	+	32.1906i	2.20294	+	1.41574i
$518$	4.94031	+	3.17494i	0.217065	+	0.139499i
$519$	4.70966	−	5.43523i	0.206731	−	0.238580i
$520$	10.0169	+	2.94124i	0.439272	+	0.128982i
$521$	1.53489	+	10.6754i	0.0672450	+	0.467699i	0.995423	+	0.0955634i	$0.0304653\pi$
$521$	1.53489	+	10.6754i	0.0672450	+	0.467699i	−0.928178	+	0.372136i	$0.878626\pi$
$522$	−3.29595	−	3.80373i	−0.144260	−	0.166485i
$523$	7.50236	+	16.4279i	0.328055	+	0.718341i	0.999747	−	0.0224900i	$-0.00715939\pi$
$523$	7.50236	+	16.4279i	0.328055	+	0.718341i	−0.671692	+	0.740831i	$0.734432\pi$
$524$	−7.82664	+	2.29811i	−0.341908	+	0.100393i
$525$	3.43452	−	7.52055i	0.149895	−	0.328224i
$526$	0.374420	−	2.60415i	0.0163255	−	0.113546i
$527$	33.1127	−	21.2803i	1.44241	−	0.926983i
$528$	5.70405			0.248237
$529$	−1.74491	+	22.9337i	−0.0758658	+	0.997118i
$530$	−1.08792			−0.0472563
$531$	−10.0219	+	6.44067i	−0.434913	+	0.279501i
$532$	−0.324332	+	2.25578i	−0.0140616	+	0.0978003i
$533$	5.86596	−	12.8447i	0.254083	−	0.556364i
$534$	9.48951	−	2.78637i	0.410651	−	0.120578i
$535$	14.1262	+	30.9321i	0.610729	+	1.33731i
$536$	7.61694	+	8.79041i	0.329002	+	0.379688i
$537$	−1.92053	−	13.3576i	−0.0828768	−	0.576421i
$538$	−12.5911	−	3.69709i	−0.542843	−	0.159393i
$539$	−3.73536	+	4.31083i	−0.160893	+	0.185681i
$540$	−3.06425	−	1.96927i	−0.131864	−	0.0847441i
$541$	24.9839	+	16.0562i	1.07414	+	0.690309i	0.953197	−	0.302350i	$-0.0977713\pi$
$541$	24.9839	+	16.0562i	1.07414	+	0.690309i	0.120945	+	0.992659i	$0.461408\pi$
$542$	−16.4213	+	18.9512i	−0.705357	+	0.814025i
$543$	13.1558	+	3.86290i	0.564571	+	0.165773i
$544$	−0.531729	−	3.69826i	−0.0227977	−	0.158561i
$545$	17.1542	+	19.7970i	0.734807	+	0.848012i
$546$	1.19063	+	2.60712i	0.0509544	+	0.111575i
$547$	−20.6699	+	6.06923i	−0.883781	+	0.259502i	−0.691966	−	0.721930i	$-0.743255\pi$
$547$	−20.6699	+	6.06923i	−0.883781	+	0.259502i	−0.191815	+	0.981431i	$0.561437\pi$
$548$	6.33120	−	13.8634i	0.270455	−	0.592215i
$549$	1.86199	−	12.9504i	0.0794676	−	0.552709i
$550$	39.6729	−	25.4962i	1.69166	−	1.08716i
$551$	11.4702			0.488646
$552$	−3.25999	−	3.51745i	−0.138754	−	0.149713i
$553$	−13.6487			−0.580403
$554$	9.92099	−	6.37583i	0.421503	−	0.270883i
$555$	3.04421	−	21.1729i	0.129220	−	0.898742i
$556$	−3.97264	+	8.69887i	−0.168478	+	0.368914i
$557$	−4.13095	+	1.21296i	−0.175034	+	0.0513946i	−0.368075	−	0.929796i	$-0.619983\pi$
$557$	−4.13095	+	1.21296i	−0.175034	+	0.0513946i	0.193041	+	0.981191i	$0.438165\pi$
$558$	4.37633	+	9.58283i	0.185265	+	0.405674i
$559$	−4.60070	−	5.30949i	−0.194589	−	0.224568i
$560$	0.518379	+	3.60541i	0.0219055	+	0.152356i
$561$	−20.4487	−	6.00427i	−0.863344	−	0.253501i
$562$	1.49060	−	1.72025i	0.0628773	−	0.0725643i
$563$	−12.3883	−	7.96149i	−0.522106	−	0.335537i	0.252899	−	0.967493i	$-0.418616\pi$
$563$	−12.3883	−	7.96149i	−0.522106	−	0.335537i	−0.775004	+	0.631956i	$0.782252\pi$
$564$	8.78140	+	5.64347i	0.369764	+	0.237633i
$565$	−16.3223	+	18.8369i	−0.686684	+	0.792476i
$566$	23.0098	+	6.75630i	0.967176	+	0.283988i
$567$	−0.142315	−	0.989821i	−0.00597666	−	0.0415686i
$568$	5.88178	+	6.78793i	0.246794	+	0.284815i
$569$	14.9842	+	32.8109i	0.628171	+	1.37550i	0.909424	+	0.415870i	$0.136523\pi$
$569$	14.9842	+	32.8109i	0.628171	+	1.37550i	−0.281253	+	0.959634i	$0.590750\pi$
$570$	7.96487	−	2.33870i	0.333612	−	0.0979572i
$571$	−2.66306	+	5.83129i	−0.111446	+	0.244032i	−0.957134	−	0.289645i	$-0.906463\pi$
$571$	−2.66306	+	5.83129i	−0.111446	+	0.244032i	0.845689	+	0.533677i	$0.179190\pi$
$572$	−2.32664	+	16.1821i	−0.0972817	+	0.676609i
$573$	−3.76509	+	2.41968i	−0.157289	+	0.101084i
$574$	4.92676			0.205639
$575$	−38.3964	−	9.89297i	−1.60124	−	0.412565i
$576$	1.00000			0.0416667
$577$	−0.254300	+	0.163428i	−0.0105866	+	0.00680361i	−0.545923	−	0.837835i	$-0.683821\pi$
$577$	−0.254300	+	0.163428i	−0.0105866	+	0.00680361i	0.535337	+	0.844639i	$0.320185\pi$
$578$	0.432660	−	3.00922i	0.0179963	−	0.125167i
$579$	−3.44469	+	7.54282i	−0.143157	+	0.313469i
$580$	17.5902	−	5.16495i	0.730393	−	0.214463i
$581$	1.41568	+	3.09992i	0.0587325	+	0.128606i
$582$	−10.0551	−	11.6042i	−0.416798	−	0.481010i
$583$	−0.242456	−	1.68632i	−0.0100415	−	0.0698402i
$584$	−3.22657	−	0.947406i	−0.133516	−	0.0392039i
$585$	6.83663	−	7.88990i	0.282660	−	0.326207i
$586$	9.12297	+	5.86298i	0.376866	+	0.242197i
$587$	−23.0095	−	14.7873i	−0.949703	−	0.610337i	−0.0285725	−	0.999592i	$-0.509096\pi$
$587$	−23.0095	−	14.7873i	−0.949703	−	0.610337i	−0.921130	+	0.389255i	$0.872733\pi$
$588$	−0.654861	+	0.755750i	−0.0270060	+	0.0311666i
$589$	−23.0361	−	6.76401i	−0.949186	−	0.278706i
$590$	−6.17547	−	42.9514i	−0.254240	−	1.76828i
$591$	−10.2284	−	11.8042i	−0.420741	−	0.485561i
$592$	2.43955	+	5.34186i	0.100265	+	0.219549i
$593$	23.8076	−	6.99055i	0.977662	−	0.287067i	0.246403	−	0.969167i	$-0.420751\pi$
$593$	23.8076	−	6.99055i	0.977662	−	0.287067i	0.731259	+	0.682100i	$0.238933\pi$
$594$	2.36955	−	5.18859i	0.0972237	−	0.212890i
$595$	1.93681	−	13.4708i	0.0794016	−	0.552250i
$596$	−4.05519	+	2.60611i	−0.166107	+	0.106750i
$597$	22.7715			0.931975
$598$	11.3086	−	7.81371i	0.462442	−	0.319526i
$599$	−22.9524			−0.937809			−0.468904	−	0.883249i	$-0.655351\pi$
$599$	−22.9524			−0.937809			−0.468904	+	0.883249i	$0.655351\pi$
$600$	6.95522	−	4.46985i	0.283945	−	0.182481i
$601$	2.62089	−	18.2287i	0.106908	−	0.743564i	−0.863892	−	0.503677i	$-0.831980\pi$
$601$	2.62089	−	18.2287i	0.106908	−	0.743564i	0.970801	−	0.239888i	$-0.0771106\pi$
$602$	1.01827	−	2.22969i	0.0415014	−	0.0908754i
$603$	11.1602	−	3.27694i	0.454480	−	0.133447i
$604$	−7.49947	−	16.4216i	−0.305149	−	0.668184i
$605$	51.3706	+	59.2849i	2.08851	+	2.41027i
$606$	−2.65786	−	18.4858i	−0.107968	−	0.750935i
$607$	43.2358	+	12.6952i	1.75489	+	0.515281i	0.991437	−	0.130587i	$-0.0416861\pi$
$607$	43.2358	+	12.6952i	1.75489	+	0.515281i	0.763449	+	0.645868i	$0.223504\pi$
$608$	−1.49241	+	1.72233i	−0.0605252	+	0.0698498i
$609$	4.23407	+	2.72107i	0.171573	+	0.110263i
$610$	40.0913	+	25.7651i	1.62325	+	1.04320i
$611$	−19.5921	+	22.6105i	−0.792613	+	0.914724i
$612$	−3.58494	−	1.05263i	−0.144913	−	0.0425502i
$613$	−3.66983	−	25.5243i	−0.148223	−	1.03092i	−0.919126	−	0.393963i	$-0.871104\pi$
$613$	−3.66983	−	25.5243i	−0.148223	−	1.03092i	0.770903	−	0.636952i	$-0.219805\pi$
$614$	−13.8428	−	15.9755i	−0.558650	−	0.644717i
$615$	−7.45488	−	16.3239i	−0.300610	−	0.658244i
$616$	−5.47299	+	1.60702i	−0.220513	+	0.0647485i
$617$	3.36604	−	7.37061i	0.135512	−	0.296730i	−0.829695	−	0.558217i	$-0.811486\pi$
$617$	3.36604	−	7.37061i	0.135512	−	0.296730i	0.965207	+	0.261487i	$0.0842130\pi$
$618$	0.712730	−	4.95715i	0.0286702	−	0.199406i
$619$	38.5661	−	24.7849i	1.55010	−	0.996191i	0.564829	−	0.825208i	$-0.308942\pi$
$619$	38.5661	−	24.7849i	1.55010	−	0.996191i	0.985274	−	0.170983i	$-0.0546942\pi$
$620$	−38.3730			−1.54110
$621$	−4.55383	+	1.50419i	−0.182739	+	0.0603611i
$622$	15.5222			0.622382
$623$	−8.32010	+	5.34701i	−0.333338	+	0.214223i
$624$	−0.407893	+	2.83696i	−0.0163288	+	0.113569i
$625$	0.837532	−	1.83394i	0.0335013	−	0.0733576i
$626$	−7.16336	+	2.10335i	−0.286305	+	0.0840668i
$627$	5.40014	+	11.8246i	0.215661	+	0.472231i
$628$	11.9136	+	13.7490i	0.475404	+	0.548645i
$629$	−3.12261	−	21.7182i	−0.124506	−	0.865962i
$630$	3.49494	+	1.02621i	0.139242	+	0.0408850i
$631$	9.04410	−	10.4374i	0.360040	−	0.415508i	−0.546613	−	0.837385i	$-0.684083\pi$
$631$	9.04410	−	10.4374i	0.360040	−	0.415508i	0.906653	+	0.421877i	$0.138629\pi$
$632$	−11.4820	−	7.37906i	−0.456731	−	0.293523i
$633$	−21.5771	−	13.8667i	−0.857612	−	0.551154i
$634$	−11.7325	+	13.5400i	−0.465955	+	0.537741i
$635$	3.82689	+	1.12368i	0.151866	+	0.0445917i
$636$	−0.0425060	−	0.295636i	−0.00168547	−	0.0117227i
$637$	−1.87692	−	2.16608i	−0.0743661	−	0.0858231i
$638$	11.9261	+	26.1144i	0.472157	+	1.03388i
$639$	8.61790	−	2.53044i	0.340919	−	0.100103i
$640$	−1.51314	+	3.31332i	−0.0598122	+	0.130970i
$641$	−2.52163	+	17.5383i	−0.0995984	+	0.692722i	0.877444	+	0.479679i	$0.159247\pi$
$641$	−2.52163	+	17.5383i	−0.0995984	+	0.692722i	−0.977043	+	0.213044i	$0.931662\pi$
$642$	−7.85367	+	5.04725i	−0.309959	+	0.199199i
$643$	0.841956			0.0332035			0.0166018	−	0.999862i	$-0.494715\pi$
$643$	0.841956			0.0332035			0.0166018	+	0.999862i	$0.494715\pi$
$644$	4.11892	+	2.45652i	0.162308	+	0.0968006i
$645$	−8.92846			−0.351558
$646$	7.16319	−	4.60350i	0.281832	−	0.181122i
$647$	−2.47753	+	17.2316i	−0.0974017	+	0.677444i	0.881360	+	0.472444i	$0.156628\pi$
$647$	−2.47753	+	17.2316i	−0.0974017	+	0.677444i	−0.978762	+	0.204999i	$0.934281\pi$
$648$	0.415415	−	0.909632i	0.0163190	−	0.0357337i
$649$	65.2000	−	19.1444i	2.55932	−	0.751485i
$650$	9.84378	+	21.5549i	0.386105	+	0.845451i
$651$	−6.89886	−	7.96170i	−0.270387	−	0.312044i
$652$	2.64257	+	18.3795i	0.103491	+	0.719797i
$653$	47.3936	+	13.9160i	1.85465	+	0.544575i	0.999664	+	0.0259307i	$0.00825493\pi$
$653$	47.3936	+	13.9160i	1.85465	+	0.544575i	0.854990	+	0.518645i	$0.173563\pi$
$654$	−4.70949	+	5.43504i	−0.184156	+	0.212527i
$655$	−24.9953	−	16.0635i	−0.976647	−	0.627653i
$656$	4.14465	+	2.66361i	0.161821	+	0.103996i
$657$	−2.20215	+	2.54142i	−0.0859142	+	0.0991503i
$658$	−10.0156	−	2.94086i	−0.390450	−	0.114647i
$659$	−0.135707	−	0.943866i	−0.00528641	−	0.0367678i	0.987007	−	0.160674i	$-0.0513668\pi$
$659$	−0.135707	−	0.943866i	−0.00528641	−	0.0367678i	−0.992294	+	0.123906i	$0.960458\pi$
$660$	13.6060	+	15.7021i	0.529612	+	0.611205i
$661$	7.50622	+	16.4363i	0.291958	+	0.639299i	0.997598	−	0.0692717i	$-0.0220675\pi$
$661$	7.50622	+	16.4363i	0.291958	+	0.639299i	−0.705640	+	0.708571i	$0.749340\pi$
$662$	28.1537	−	8.26666i	1.09422	−	0.321293i
$663$	4.44855	−	9.74096i	0.172767	−	0.378308i
$664$	−0.484992	+	3.37319i	−0.0188213	+	0.130905i
$665$	−6.98335	+	4.48792i	−0.270803	+	0.174034i
$666$	5.87255			0.227557
$667$	9.28767	−	22.2793i	0.359620	−	0.862657i
$668$	−6.77617			−0.262178
$669$	−8.77088	+	5.63670i	−0.339102	+	0.217927i
$670$	−6.02947	+	41.9359i	−0.232939	+	1.62012i
$671$	−31.0021	+	67.8852i	−1.19682	+	2.62068i
$672$	−0.959493	+	0.281733i	−0.0370132	+	0.0108681i
$673$	−2.18706	−	4.78899i	−0.0843048	−	0.184602i	0.862785	−	0.505572i	$-0.168718\pi$
$673$	−2.18706	−	4.78899i	−0.0843048	−	0.184602i	−0.947089	+	0.320970i	$0.895991\pi$
$674$	2.44837	+	2.82557i	0.0943078	+	0.108837i
$675$	−1.17661	−	8.18353i	−0.0452879	−	0.314984i
$676$	4.59146	+	1.34817i	0.176595	+	0.0518528i
$677$	21.8041	−	25.1633i	0.838000	−	0.967103i	−0.161806	−	0.986823i	$-0.551732\pi$
$677$	21.8041	−	25.1633i	0.838000	−	0.967103i	0.999806	+	0.0197195i	$0.00627731\pi$
$678$	−5.75654	−	3.69951i	−0.221079	−	0.142079i
$679$	12.9171	+	8.30131i	0.495712	+	0.318575i
$680$	8.91223	−	10.2853i	0.341769	−	0.394422i
$681$	9.61738	+	2.82392i	0.368539	+	0.108213i
$682$	−8.55188	−	59.4796i	−0.327468	−	2.27759i
$683$	−18.5217	−	21.3752i	−0.708713	−	0.817899i	0.281189	−	0.959653i	$-0.409271\pi$
$683$	−18.5217	−	21.3752i	−0.708713	−	0.817899i	−0.989902	+	0.141754i	$0.954726\pi$
$684$	0.946720	+	2.07303i	0.0361987	+	0.0792642i
$685$	53.2651	−	15.6401i	2.03516	−	0.597576i
$686$	0.415415	−	0.909632i	0.0158606	−	0.0347299i
$687$	0.271916	−	1.89121i	0.0103742	−	0.0721543i
$688$	2.06208	−	1.32522i	0.0786161	−	0.0505235i
$689$	0.856043			0.0326127
$690$	1.90674	−	17.3644i	0.0725882	−	0.661050i
$691$	9.56491			0.363866			0.181933	−	0.983311i	$-0.441765\pi$
$691$	9.56491			0.363866			0.181933	+	0.983311i	$0.441765\pi$
$692$	−6.05017	+	3.88821i	−0.229993	+	0.147807i
$693$	−0.811771	+	5.64599i	−0.0308366	+	0.214473i
$694$	−13.0571	+	28.5910i	−0.495639	+	1.08530i
$695$	−33.4223	+	9.81368i	−1.26778	+	0.372254i
$696$	2.09080	+	4.57822i	0.0792517	+	0.173537i
$697$	−12.0545	−	13.9117i	−0.456598	−	0.526942i
$698$	−1.50495	−	10.4671i	−0.0569631	−	0.396187i
$699$	1.50910	+	0.443113i	0.0570795	+	0.0167601i
$700$	−5.41418	+	6.24830i	−0.204637	+	0.236163i
$701$	37.7709	+	24.2739i	1.42659	+	0.916811i	0.999923	+	0.0123997i	$0.00394703\pi$
$701$	37.7709	+	24.2739i	1.42659	+	0.916811i	0.426662	+	0.904411i	$0.359689\pi$
$702$	2.41114	+	1.54955i	0.0910027	+	0.0584839i
$703$	−8.76426	+	10.1145i	−0.330550	+	0.381475i
$704$	−5.47299	−	1.60702i	−0.206271	−	0.0605667i
$705$	5.41109	+	37.6350i	0.203793	+	1.41741i
$706$	0.0585598	+	0.0675816i	0.00220393	+	0.00254347i
$707$	7.75825	+	16.9882i	0.291779	+	0.638907i
$708$	11.4305	−	3.35629i	0.429584	−	0.126137i
$709$	13.2996	−	29.1221i	0.499478	−	1.09370i	−0.477161	−	0.878816i	$-0.658334\pi$
$709$	13.2996	−	29.1221i	0.499478	−	1.09370i	0.976639	−	0.214888i	$-0.0689387\pi$
$710$	−4.65594	+	32.3828i	−0.174734	+	1.21530i
$711$	−11.4820	+	7.37906i	−0.430610	+	0.276736i
$712$	−9.89013			−0.370648
$713$	−31.7910	+	39.2675i	−1.19058	+	1.47058i
$714$	3.73629			0.139827
$715$	−50.0961	+	32.1948i	−1.87349	+	1.20402i
$716$	−1.92053	+	13.3576i	−0.0717734	+	0.499195i
$717$	−0.195094	+	0.427197i	−0.00728593	+	0.0159540i
$718$	−2.72263	+	0.799437i	−0.101608	+	0.0298347i
$719$	14.9382	+	32.7101i	0.557101	+	1.21988i	0.953386	+	0.301754i	$0.0975722\pi$
$719$	14.9382	+	32.7101i	0.557101	+	1.21988i	−0.396284	+	0.918128i	$0.629701\pi$
$720$	2.38532	+	2.75280i	0.0888956	+	0.102591i
$721$	0.712730	+	4.95715i	0.0265435	+	0.184614i
$722$	13.2470	+	3.88968i	0.493003	+	0.144759i
$723$	−4.57306	+	5.27760i	−0.170074	+	0.196276i
$724$	−11.5346	−	7.41286i	−0.428681	−	0.275497i
$725$	35.0059	+	22.4970i	1.30009	+	0.835516i
$726$	−14.1032	+	16.2760i	−0.523419	+	0.604057i
$727$	−4.41823	−	1.29731i	−0.163863	−	0.0481146i	0.198772	−	0.980046i	$-0.436305\pi$
$727$	−4.41823	−	1.29731i	−0.163863	−	0.0481146i	−0.362635	+	0.931931i	$0.618123\pi$
$728$	−0.407893	−	2.83696i	−0.0151175	−	0.105145i
$729$	−0.654861	−	0.755750i	−0.0242541	−	0.0279907i
$730$	−5.08837	−	11.1420i	−0.188329	−	0.412383i
$731$	−8.78741	+	2.58022i	−0.325014	+	0.0954328i
$732$	−5.43511	+	11.9012i	−0.200887	+	0.439882i
$733$	−1.11591	+	7.76133i	−0.0412171	+	0.286671i	0.958780	+	0.284150i	$0.0917115\pi$
$733$	−1.11591	+	7.76133i	−0.0412171	+	0.286671i	−0.999997	+	0.00252079i	$0.999198\pi$
$734$	6.21073	−	3.99139i	0.229242	−	0.147325i
$735$	−3.64248			−0.134355
$736$	2.13696	+	4.29341i	0.0787693	+	0.158257i
$737$	−66.3460			−2.44389
$738$	4.14465	−	2.66361i	0.152567	−	0.0980487i
$739$	1.56281	−	10.8696i	0.0574888	−	0.399843i	−0.940677	−	0.339303i	$-0.889809\pi$
$739$	1.56281	−	10.8696i	0.0574888	−	0.399843i	0.998166	−	0.0605398i	$-0.0192822\pi$
$740$	−8.88601	+	19.4576i	−0.326656	+	0.715277i
$741$	−6.26725	+	1.84023i	−0.230233	+	0.0676025i
$742$	0.124074	+	0.271685i	0.00455491	+	0.00997387i
$743$	−4.77306	−	5.50841i	−0.175107	−	0.202084i	0.661411	−	0.750023i	$-0.269958\pi$
$743$	−4.77306	−	5.50841i	−0.175107	−	0.202084i	−0.836518	+	0.547940i	$0.815412\pi$
$744$	−1.49926	−	10.4276i	−0.0549657	−	0.382295i
$745$	−16.8470	−	4.94673i	−0.617227	−	0.181234i
$746$	9.60190	−	11.0812i	0.351550	−	0.405711i
$747$	2.86689	+	1.84244i	0.104894	+	0.0674113i
$748$	17.9288	+	11.5221i	0.655540	+	0.421290i
$749$	6.11356	−	7.05543i	0.223385	−	0.257800i
$750$	11.4203	+	3.35331i	0.417012	+	0.122446i
$751$	−4.41276	−	30.6914i	−0.161024	−	1.11994i	−0.896709	−	0.442621i	$-0.854049\pi$
$751$	−4.41276	−	30.6914i	−0.161024	−	1.11994i	0.735685	−	0.677324i	$-0.236860\pi$
$752$	−6.83575	−	7.88887i	−0.249274	−	0.287678i
$753$	−6.43263	−	14.0855i	−0.234418	−	0.513304i
$754$	−13.8410	+	4.06410i	−0.504061	+	0.148006i
$755$	27.3167	−	59.8152i	0.994157	−	2.17690i
$756$	−0.142315	+	0.989821i	−0.00517594	+	0.0359995i
$757$	−16.4472	+	10.5700i	−0.597783	+	0.384172i	−0.804258	−	0.594280i	$-0.797437\pi$
$757$	−16.4472	+	10.5700i	−0.597783	+	0.384172i	0.206475	+	0.978452i	$0.433801\pi$
$758$	−1.17634			−0.0427264
$759$	27.3404	−	0.914341i	0.992393	−	0.0331885i
$760$	−8.30112			−0.301113
$761$	9.01626	−	5.79440i	0.326839	−	0.210047i	−0.366922	−	0.930252i	$-0.619589\pi$
$761$	9.01626	−	5.79440i	0.326839	−	0.210047i	0.693762	+	0.720205i	$0.255952\pi$
$762$	−0.155832	+	1.08384i	−0.00564520	+	0.0392632i
$763$	2.98749	−	6.54170i	0.108155	−	0.236825i
$764$	4.29428	−	1.26092i	0.155362	−	0.0456183i
$765$	−5.65353	−	12.3795i	−0.204404	−	0.447582i
$766$	−4.99672	−	5.76653i	−0.180539	−	0.208353i
$767$	4.85924	+	33.7968i	0.175457	+	1.22033i
$768$	−0.959493	−	0.281733i	−0.0346227	−	0.0101661i
$769$	2.35005	−	2.71210i	0.0847449	−	0.0978008i	−0.711793	−	0.702389i	$-0.752117\pi$
$769$	2.35005	−	2.71210i	0.0847449	−	0.0978008i	0.796538	+	0.604588i	$0.206662\pi$
$770$	−17.4786	−	11.2328i	−0.629886	−	0.404803i
$771$	22.7208	+	14.6018i	0.818269	+	0.525870i
$772$	5.43022	−	6.26680i	0.195438	−	0.225547i
$773$	−44.0741	−	12.9413i	−1.58524	−	0.465467i	−0.633847	−	0.773459i	$-0.718525\pi$
$773$	−44.0741	−	12.9413i	−1.58524	−	0.465467i	−0.951389	+	0.307991i	$0.900343\pi$
$774$	−0.348842	−	2.42625i	−0.0125389	−	0.0872098i
$775$	−57.0375	−	65.8248i	−2.04885	−	2.36450i
$776$	6.37852	+	13.9670i	0.228975	+	0.501386i
$777$	−5.63467	+	1.65449i	−0.202143	+	0.0593545i
$778$	2.21228	−	4.84421i	0.0793140	−	0.173674i
$779$	−1.59790	+	11.1137i	−0.0572508	+	0.398188i
$780$	−8.78254	+	5.64420i	−0.314466	+	0.202095i
$781$	−51.2322			−1.83323
$782$	−3.14148	−	17.6411i	−0.112339	−	0.630843i
$783$	5.03305			0.179867
$784$	0.841254	−	0.540641i	0.0300448	−	0.0193086i
$785$	−9.43064	+	65.5915i	−0.336594	+	2.34106i
$786$	3.38857	−	7.41992i	0.120866	−	0.264660i
$787$	−9.79090	+	2.87487i	−0.349008	+	0.102478i	−0.451538	−	0.892252i	$-0.649124\pi$
$787$	−9.79090	+	2.87487i	−0.349008	+	0.102478i	0.102530	+	0.994730i	$0.467306\pi$
$788$	6.48846	+	14.2077i	0.231142	+	0.506130i
$789$	1.72289	+	1.98832i	0.0613365	+	0.0707861i
$790$	−7.07521	−	49.2092i	−0.251725	−	1.75078i
$791$	6.56563	+	1.92784i	0.233447	+	0.0685462i
$792$	−3.73536	+	4.31083i	−0.132730	+	0.153179i
$793$	−31.5463	−	20.2736i	−1.12024	−	0.719937i
$794$	−4.49874	−	2.89117i	−0.159654	−	0.102604i
$795$	0.712437	−	0.822196i	0.0252675	−	0.0291603i
$796$	−21.8491	−	6.41547i	−0.774420	−	0.227390i
$797$	2.64641	+	18.4062i	0.0937406	+	0.651980i	0.981470	+	0.191615i	$0.0613725\pi$
$797$	2.64641	+	18.4062i	0.0937406	+	0.651980i	−0.887730	+	0.460365i	$0.847718\pi$
$798$	−1.49241	−	1.72233i	−0.0528307	−	0.0609699i
$799$	16.2017	+	35.4767i	0.573173	+	1.25507i
$800$	−7.93278	+	2.32927i	−0.280466	+	0.0823523i
$801$	−4.10851	+	8.99638i	−0.145167	+	0.317871i
$802$	1.82845	−	12.7172i	0.0645649	−	0.449059i
$803$	16.1365	−	10.3703i	0.569444	−	0.365960i
$804$	−11.6314			−0.410207
$805$	3.06261	+	17.1982i	0.107943	+	0.606156i
$806$	30.1942			1.06355
$807$	11.0395	−	7.09467i	0.388610	−	0.249744i
$808$	−2.65786	+	18.4858i	−0.0935032	+	0.650329i
$809$	5.57283	−	12.2028i	0.195930	−	0.429028i	−0.786011	−	0.618212i	$-0.787857\pi$
$809$	5.57283	−	12.2028i	0.195930	−	0.429028i	0.981942	+	0.189185i	$0.0605845\pi$
$810$	3.49494	−	1.02621i	0.122800	−	0.0360572i
$811$	−20.7806	−	45.5031i	−0.729704	−	1.59783i	−0.799784	−	0.600288i	$-0.795053\pi$
$811$	−20.7806	−	45.5031i	−0.729704	−	1.59783i	0.0700798	−	0.997541i	$-0.477675\pi$
$812$	−3.29595	−	3.80373i	−0.115665	−	0.133485i
$813$	−3.56870	−	24.8208i	−0.125160	−	0.870505i
$814$	−32.1405	−	9.43729i	−1.12652	−	0.330777i
$815$	−44.2918	+	51.1155i	−1.55147	+	1.79050i
$816$	3.14316	+	2.01999i	0.110033	+	0.0707138i
$817$	4.69943	+	3.02014i	0.164412	+	0.105661i
$818$	−1.56061	+	1.80104i	−0.0545655	+	0.0629719i
$819$	−2.75003	−	0.807482i	−0.0960939	−	0.0282157i
$820$	2.55393	+	17.7630i	0.0891871	+	0.620310i
$821$	10.9126	+	12.5938i	0.380851	+	0.439525i	0.913517	−	0.406800i	$-0.133355\pi$
$821$	10.9126	+	12.5938i	0.380851	+	0.439525i	−0.532666	+	0.846325i	$0.678810\pi$
$822$	6.33120	+	13.8634i	0.220826	+	0.483541i
$823$	41.8125	−	12.2773i	1.45749	−	0.427959i	0.545482	−	0.838123i	$-0.316347\pi$
$823$	41.8125	−	12.2773i	1.45749	−	0.427959i	0.912012	+	0.410164i	$0.134529\pi$
$824$	−2.08045	+	4.55555i	−0.0724759	+	0.158700i
$825$	−6.71146	+	46.6792i	−0.233663	+	1.62516i
$826$	−10.0219	+	6.44067i	−0.348706	+	0.224100i
$827$	17.2632			0.600299			0.300150	−	0.953892i	$-0.402963\pi$
$827$	17.2632			0.600299			0.300150	+	0.953892i	$0.402963\pi$
$828$	4.79315	−	0.160297i	0.166574	−	0.00557070i
$829$	13.4900			0.468527			0.234264	−	0.972173i	$-0.424732\pi$
$829$	13.4900			0.468527			0.234264	+	0.972173i	$0.424732\pi$
$830$	−10.4426	+	6.71105i	−0.362468	+	0.232944i
$831$	−1.67833	+	11.6731i	−0.0582208	+	0.404934i
$832$	1.19063	−	2.60712i	0.0412778	−	0.0903858i
$833$	−3.58494	+	1.05263i	−0.124211	+	0.0364716i
$834$	−3.97264	−	8.69887i	−0.137561	−	0.301217i
$835$	−16.1633	−	18.6535i	−0.559355	−	0.645530i
$836$	−1.85000	−	12.8671i	−0.0639837	−	0.445017i
$837$	−10.1081	−	2.96801i	−0.349387	−	0.102589i
$838$	22.7096	−	26.2082i	0.784489	−	0.905348i
$839$	−24.0150	−	15.4335i	−0.829091	−	0.532824i	0.0558980	−	0.998436i	$-0.482198\pi$
$839$	−24.0150	−	15.4335i	−0.829091	−	0.532824i	−0.884989	+	0.465612i	$0.845834\pi$
$840$	−3.06425	−	1.96927i	−0.105727	−	0.0679464i
$841$	2.40230	−	2.77240i	0.0828378	−	0.0955999i
$842$	−11.4647	−	3.36634i	−0.395100	−	0.116012i
$843$	0.323939	+	2.25305i	0.0111571	+	0.0775990i
$844$	16.7963	+	19.3840i	0.578154	+	0.667225i
$845$	7.24083	+	15.8552i	0.249092	+	0.545436i
$846$	−10.0156	+	2.94086i	−0.344345	+	0.101109i
$847$	8.94645	−	19.5900i	0.307404	−	0.673120i
$848$	−0.0425060	+	0.295636i	−0.00145966	+	0.0101522i
$849$	−20.1743	+	12.9652i	−0.692381	+	0.444966i
$850$	30.8904			1.05953
$851$	12.5494	+	25.2133i	0.430188	+	0.864301i
$852$	−8.98172			−0.307709
$853$	−19.4374	+	12.4916i	−0.665523	+	0.427706i	−0.829309	−	0.558790i	$-0.811266\pi$
$853$	−19.4374	+	12.4916i	−0.665523	+	0.427706i	0.163786	+	0.986496i	$0.447629\pi$
$854$	1.86199	−	12.9504i	0.0637158	−	0.443153i
$855$	−3.44841	+	7.55096i	−0.117933	+	0.258238i
$856$	8.95751	−	2.63016i	0.306161	−	0.0898971i
$857$	−1.26008	−	2.75919i	−0.0430434	−	0.0942520i	0.886889	−	0.461983i	$-0.152862\pi$
$857$	−1.26008	−	2.75919i	−0.0430434	−	0.0942520i	−0.929932	+	0.367731i	$0.880135\pi$
$858$	−10.7060	−	12.3554i	−0.365498	−	0.421807i
$859$	−0.483314	−	3.36152i	−0.0164905	−	0.114694i	0.979914	−	0.199423i	$-0.0639067\pi$
$859$	−0.483314	−	3.36152i	−0.0164905	−	0.114694i	−0.996404	+	0.0847289i	$0.972998\pi$
$860$	8.56679	+	2.51544i	0.292125	+	0.0857757i
$861$	−3.22634	+	3.72339i	−0.109953	+	0.126893i
$862$	−11.4300	−	7.34565i	−0.389309	−	0.250194i
$863$	−30.9868	−	19.9140i	−1.05480	−	0.677882i	−0.106200	−	0.994345i	$-0.533868\pi$
$863$	−30.9868	−	19.9140i	−1.05480	−	0.677882i	−0.948605	+	0.316463i	$0.897505\pi$
$864$	−0.654861	+	0.755750i	−0.0222788	+	0.0257111i
$865$	−25.1350	−	7.38032i	−0.854617	−	0.250938i
$866$	2.97767	+	20.7102i	0.101185	+	0.703760i
$867$	1.99088	+	2.29760i	0.0676140	+	0.0780307i
$868$	4.37633	+	9.58283i	0.148542	+	0.325262i
$869$	74.6994	−	21.9337i	2.53400	−	0.744050i
$870$	−7.61572	+	16.6761i	−0.258197	+	0.565373i
$871$	4.74436	−	32.9977i	0.160756	−	1.11809i
$872$	6.04995	−	3.88807i	0.204877	−	0.131667i
$873$	15.3546			0.519673
$874$	−6.87726	+	8.49463i	−0.232627	+	0.287335i
$875$	−11.9025			−0.402377
$876$	2.82895	−	1.81806i	0.0955815	−	0.0614265i
$877$	−1.57503	+	10.9546i	−0.0531850	+	0.369910i	0.945795	+	0.324763i	$0.105285\pi$
$877$	−1.57503	+	10.9546i	−0.0531850	+	0.369910i	−0.998980	+	0.0451465i	$0.985625\pi$
$878$	3.28851	−	7.20083i	0.110982	−	0.243016i
$879$	−10.4052	+	3.05525i	−0.350959	+	0.103051i
$880$	−8.63104	−	18.8993i	−0.290952	−	0.637096i
$881$	−4.89237	−	5.64610i	−0.164828	−	0.190222i	0.667327	−	0.744765i	$-0.267438\pi$
$881$	−4.89237	−	5.64610i	−0.164828	−	0.190222i	−0.832155	+	0.554543i	$0.812893\pi$
$882$	−0.142315	−	0.989821i	−0.00479199	−	0.0333290i
$883$	6.15456	+	1.80714i	0.207117	+	0.0608151i	0.383645	−	0.923480i	$-0.374668\pi$
$883$	6.15456	+	1.80714i	0.207117	+	0.0608151i	−0.176528	+	0.984296i	$0.556487\pi$
$884$	−7.01270	+	8.09308i	−0.235863	+	0.272200i
$885$	36.5045	+	23.4600i	1.22709	+	0.788601i
$886$	−1.19830	−	0.770103i	−0.0402578	−	0.0258721i
$887$	5.89788	−	6.80652i	0.198031	−	0.228540i	−0.648045	−	0.761602i	$-0.724413\pi$
$887$	5.89788	−	6.80652i	0.198031	−	0.228540i	0.846076	+	0.533062i	$0.178959\pi$
$888$	−5.63467	−	1.65449i	−0.189087	−	0.0555210i
$889$	−0.155832	−	1.08384i	−0.00522644	−	0.0363507i
$890$	−23.5911	−	27.2256i	−0.790776	−	0.912604i
$891$	2.36955	+	5.18859i	0.0793828	+	0.173824i
$892$	10.0036	−	2.93733i	0.334947	−	0.0983492i
$893$	9.88231	−	21.6392i	0.330699	−	0.724130i
$894$	0.686016	−	4.77134i	0.0229438	−	0.159578i
$895$	−41.3518	+	26.5752i	−1.38224	+	0.888311i
$896$	1.00000			0.0334077
$897$	−1.50034	+	13.6634i	−0.0500948	+	0.456206i
$898$	10.3358			0.344910
$899$	44.6053	−	28.6661i	1.48767	−	0.956067i
$900$	−1.17661	+	8.18353i	−0.0392205	+	0.272784i
$901$	0.463577	−	1.01509i	0.0154440	−	0.0338176i
$902$	−26.9641	+	7.91738i	−0.897807	+	0.263620i
$903$	1.01827	+	2.22969i	0.0338858	+	0.0741995i
$904$	4.48109	+	5.17145i	0.149039	+	0.172000i
$905$	−7.10763	−	49.4346i	−0.236266	−	1.64326i
$906$	17.3217	+	5.08611i	0.575475	+	0.168975i
$907$	10.9421	−	12.6278i	0.363326	−	0.419300i	−0.544425	−	0.838809i	$-0.683252\pi$
$907$	10.9421	−	12.6278i	0.363326	−	0.419300i	0.907751	+	0.419509i	$0.137798\pi$
$908$	−8.43222	−	5.41906i	−0.279833	−	0.179838i
$909$	15.7112	+	10.0970i	0.521107	+	0.334895i
$910$	6.83663	−	7.88990i	0.226632	−	0.261548i
$911$	−16.2187	−	4.76225i	−0.537350	−	0.157780i	0.00178669	−	0.999998i	$-0.499431\pi$
$911$	−16.2187	−	4.76225i	−0.537350	−	0.157780i	−0.539137	+	0.842218i	$0.681249\pi$
$912$	−0.324332	−	2.25578i	−0.0107397	−	0.0746962i
$913$	−12.7296	−	14.6908i	−0.421290	−	0.486194i
$914$	−10.1906	−	22.3144i	−0.337077	−	0.738095i
$915$	−45.7262	+	13.4264i	−1.51166	+	0.443864i
$916$	−0.793718	+	1.73800i	−0.0262252	+	0.0574251i
$917$	−1.16087	+	8.07403i	−0.0383353	+	0.266628i
$918$	3.14316	−	2.01999i	0.103740	−	0.0666696i
$919$	27.8485			0.918636			0.459318	−	0.888272i	$-0.348094\pi$
$919$	27.8485			0.918636			0.459318	+	0.888272i	$0.348094\pi$
$920$	−6.72160	+	16.1238i	−0.221605	+	0.531586i
$921$	21.1386			0.696539
$922$	9.32068	−	5.99004i	0.306960	−	0.197271i
$923$	3.66358	−	25.4808i	0.120588	−	0.838709i
$924$	2.36955	−	5.18859i	0.0779524	−	0.170692i
$925$	−46.5857	+	13.6788i	−1.53173	+	0.449756i
$926$	−7.99957	−	17.5166i	−0.262882	−	0.575632i
$927$	3.27962	+	3.78489i	0.107717	+	0.124312i
$928$	−0.716278	−	4.98182i	−0.0235130	−	0.163536i
$929$	−50.2752	−	14.7621i	−1.64948	−	0.484330i	−0.680761	−	0.732506i	$-0.738351\pi$
$929$	−50.2752	−	14.7621i	−1.64948	−	0.484330i	−0.968715	+	0.248176i	$0.920169\pi$
$930$	25.1290	−	29.0004i	0.824011	−	0.950960i
$931$	1.91719	+	1.23211i	0.0628335	+	0.0403806i
$932$	−1.32313	−	0.850327i	−0.0433407	−	0.0278534i
$933$	−10.1648	+	11.7309i	−0.332782	+	0.384051i
$934$	34.1611	+	10.0306i	1.11778	+	0.328211i
$935$	11.0477	+	76.8383i	0.361298	+	2.51288i
$936$	−1.87692	−	2.16608i	−0.0613489	−	0.0708004i
$937$	5.45564	+	11.9462i	0.178228	+	0.390265i	0.977570	−	0.210612i	$-0.0675456\pi$
$937$	5.45564	+	11.9462i	0.178228	+	0.390265i	−0.799342	+	0.600877i	$0.794818\pi$
$938$	11.1602	−	3.27694i	0.364394	−	0.106996i
$939$	3.10139	−	6.79111i	0.101210	−	0.221619i
$940$	5.41109	−	37.6350i	0.176490	−	1.22752i
$941$	15.0401	−	9.66567i	0.490292	−	0.315092i	−0.272031	−	0.962289i	$-0.587695\pi$
$941$	15.0401	−	9.66567i	0.490292	−	0.315092i	0.762323	+	0.647197i	$0.224059\pi$
$942$	−18.1925			−0.592745
$943$	20.2929	+	12.1027i	0.660828	+	0.394118i
$944$	−11.9130			−0.387736
$945$	−3.06425	+	1.96927i	−0.0996801	+	0.0640605i
$946$	−1.98981	+	13.8395i	−0.0646944	+	0.449960i
$947$	−20.9282	+	45.8263i	−0.680074	+	1.48915i	0.182492	+	0.983207i	$0.441584\pi$
$947$	−20.9282	+	45.8263i	−0.680074	+	1.48915i	−0.862565	+	0.505946i	$0.831144\pi$
$948$	13.0959	−	3.84529i	0.425333	−	0.124889i
$949$	4.00384	+	8.76719i	0.129970	+	0.284595i
$950$	−12.3388	−	14.2397i	−0.400322	−	0.461997i
$951$	−2.54971	−	17.7336i	−0.0826799	−	0.575051i
$952$	−3.58494	−	1.05263i	−0.116189	−	0.0341160i
$953$	15.9459	−	18.4025i	0.516537	−	0.596115i	−0.436223	−	0.899838i	$-0.643684\pi$
$953$	15.9459	−	18.4025i	0.516537	−	0.596115i	0.952760	+	0.303723i	$0.0982297\pi$
$954$	0.251262	+	0.161476i	0.00813491	+	0.00522799i
$955$	13.7143	+	8.81364i	0.443784	+	0.285203i
$956$	0.307547	−	0.354928i	0.00994678	−	0.0114792i
$957$	−27.5459	−	8.08819i	−0.890431	−	0.261454i
$958$	−3.42714	−	23.8363i	−0.110726	−	0.770115i
$959$	−9.98051	−	11.5181i	−0.322287	−	0.371940i
$960$	−1.51314	−	3.31332i	−0.0488364	−	0.106937i
$961$	−76.7431	+	22.5338i	−2.47558	+	0.726897i
$962$	6.99206	−	15.3105i	0.225433	−	0.493629i
$963$	1.32860	−	9.24065i	0.0428137	−	0.297776i
$964$	5.87469	−	3.77544i	0.189211	−	0.121599i
$965$	30.2041			0.972304
$966$	−4.55383	+	1.50419i	−0.146517	+	0.0483965i
$967$	−14.3046			−0.460005			−0.230002	−	0.973190i	$-0.573873\pi$
$967$	−14.3046			−0.460005			−0.230002	+	0.973190i	$0.573873\pi$
$968$	18.1174	−	11.6433i	0.582315	−	0.374231i
$969$	−1.21180	+	8.42823i	−0.0389285	+	0.270754i
$970$	−23.2336	+	50.8746i	−0.745987	+	1.63348i
$971$	25.1957	−	7.39812i	0.808568	−	0.237417i	0.148781	−	0.988870i	$-0.452465\pi$
$971$	25.1957	−	7.39812i	0.808568	−	0.237417i	0.659786	+	0.751453i	$0.270647\pi$
$972$	0.415415	+	0.909632i	0.0133244	+	0.0291765i
$973$	6.26248	+	7.22729i	0.200766	+	0.231696i
$974$	−3.05202	−	21.2273i	−0.0977931	−	0.680166i
$975$	−22.7364	−	6.67600i	−0.728147	−	0.213803i
$976$	8.56791	−	9.88790i	0.274252	−	0.316504i
$977$	−17.0832	−	10.9787i	−0.546541	−	0.351241i	0.238051	−	0.971253i	$-0.423491\pi$
$977$	−17.0832	−	10.9787i	−0.546541	−	0.351241i	−0.784592	+	0.620012i	$0.787128\pi$
$978$	−15.6208	−	10.0389i	−0.499499	−	0.321008i
$979$	36.9432	−	42.6347i	1.18071	−	1.36261i
$980$	3.49494	+	1.02621i	0.111642	+	0.0327809i
$981$	−1.02347	−	7.11839i	−0.0326769	−	0.227273i
$982$	22.0557	+	25.4536i	0.703824	+	0.812257i
$983$	15.6380	+	34.2425i	0.498775	+	1.09217i	0.976866	+	0.213855i	$0.0686019\pi$
$983$	15.6380	+	34.2425i	0.498775	+	1.09217i	−0.478090	+	0.878311i	$0.658671\pi$
$984$	−4.72719	+	1.38803i	−0.150697	+	0.0442487i
$985$	−23.6341	+	51.7515i	−0.753045	+	1.64894i
$986$	−2.67622	+	18.6135i	−0.0852282	+	0.592775i
$987$	8.78140	−	5.64347i	0.279515	−	0.179633i
$988$	6.53183			0.207805
$989$	9.67144	−	6.68252i	0.307534	−	0.212492i
$990$	−20.7769			−0.660333
$991$	−28.9201	+	18.5858i	−0.918678	+	0.590399i	−0.912274	−	0.409581i	$-0.865675\pi$
$991$	−28.9201	+	18.5858i	−0.918678	+	0.590399i	−0.00640429	+	0.999979i	$0.502039\pi$
$992$	−1.49926	+	10.4276i	−0.0476017	+	0.331077i
$993$	−12.1892	+	26.6906i	−0.386813	+	0.847001i
$994$	8.61790	−	2.53044i	0.273343	−	0.0802608i
$995$	−34.4565	−	75.4492i	−1.09234	−	2.39190i
$996$	−2.23169	−	2.57550i	−0.0707137	−	0.0816079i
$997$	3.53264	+	24.5701i	0.111880	+	0.778142i	0.966088	+	0.258212i	$0.0831331\pi$
$997$	3.53264	+	24.5701i	0.111880	+	0.778142i	−0.854208	+	0.519931i	$0.825958\pi$
$998$	−4.47684	−	1.31452i	−0.141712	−	0.0416104i
$999$	−3.84570	+	4.43818i	−0.121673	+	0.140418i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.q.i.127.4	✓	40
23.2	even	11	inner	966.2.q.i.715.4	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.q.i.127.4	✓	40	1.1	even	1	trivial
966.2.q.i.715.4	yes	40	23.2	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.841254 - 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.49494 - 1.02621i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\)	\(q+(0.841254 - 0.540641i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.415415 - 0.909632i) q^{4} +(3.49494 - 1.02621i) q^{5} +(0.415415 + 0.909632i) q^{6} +(-0.654861 - 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(2.38532 - 2.75280i) q^{10} +(4.79855 + 3.08384i) q^{11} +(0.841254 + 0.540641i) q^{12} +(-1.87692 + 2.16608i) q^{13} +(-0.959493 - 0.281733i) q^{14} +(0.518379 + 3.60541i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.55211 + 3.39865i) q^{17} +(-0.959493 + 0.281733i) q^{18} +(0.946720 - 2.07303i) q^{19} +(0.518379 - 3.60541i) q^{20} +(0.841254 - 0.540641i) q^{21} +5.70405 q^{22} +(-3.25999 - 3.51745i) q^{23} +1.00000 q^{24} +(6.95522 - 4.46985i) q^{25} +(-0.407893 + 2.83696i) q^{26} +(0.415415 - 0.909632i) q^{27} +(-0.959493 + 0.281733i) q^{28} +(2.09080 + 4.57822i) q^{29} +(2.38532 + 2.75280i) q^{30} +(-1.49926 - 10.4276i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(-3.73536 + 4.31083i) q^{33} +(3.14316 + 2.01999i) q^{34} +(-3.06425 - 1.96927i) q^{35} +(-0.654861 + 0.755750i) q^{36} +(-5.63467 - 1.65449i) q^{37} +(-0.324332 - 2.25578i) q^{38} +(-1.87692 - 2.16608i) q^{39} +(-1.51314 - 3.31332i) q^{40} +(-4.72719 + 1.38803i) q^{41} +(0.415415 - 0.909632i) q^{42} +(-0.348842 + 2.42625i) q^{43} +(4.79855 - 3.08384i) q^{44} -3.64248 q^{45} +(-4.64416 - 1.19658i) q^{46} +10.4385 q^{47} +(0.841254 - 0.540641i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(3.43452 - 7.52055i) q^{50} +(-3.58494 + 1.05263i) q^{51} +(1.19063 + 2.60712i) q^{52} +(-0.195591 - 0.225724i) q^{53} +(-0.142315 - 0.989821i) q^{54} +(19.9353 + 5.85353i) q^{55} +(-0.654861 + 0.755750i) q^{56} +(1.91719 + 1.23211i) q^{57} +(4.23407 + 2.72107i) q^{58} +(7.80138 - 9.00327i) q^{59} +(3.49494 + 1.02621i) q^{60} +(1.86199 + 12.9504i) q^{61} +(-6.89886 - 7.96170i) q^{62} +(0.415415 + 0.909632i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-4.33686 + 9.49640i) q^{65} +(-0.811771 + 5.64599i) q^{66} +(-9.78494 + 6.28840i) q^{67} +3.73629 q^{68} +(3.94559 - 2.72622i) q^{69} -3.64248 q^{70} +(-7.55590 + 4.85588i) q^{71} +(-0.142315 + 0.989821i) q^{72} +(1.39695 - 3.05890i) q^{73} +(-5.63467 + 1.65449i) q^{74} +(3.43452 + 7.52055i) q^{75} +(-1.49241 - 1.72233i) q^{76} +(-0.811771 - 5.64599i) q^{77} +(-2.75003 - 0.807482i) q^{78} +(8.93801 - 10.3150i) q^{79} +(-3.06425 - 1.96927i) q^{80} +(0.841254 + 0.540641i) q^{81} +(-3.22634 + 3.72339i) q^{82} +(-3.26984 - 0.960110i) q^{83} +(-0.142315 - 0.989821i) q^{84} +(8.91223 + 10.2853i) q^{85} +(1.01827 + 2.22969i) q^{86} +(-4.82918 + 1.41797i) q^{87} +(2.36955 - 5.18859i) q^{88} +(1.40751 - 9.78946i) q^{89} +(-3.06425 + 1.96927i) q^{90} +2.86613 q^{91} +(-4.55383 + 1.50419i) q^{92} +10.5348 q^{93} +(8.78140 - 5.64347i) q^{94} +(1.18137 - 8.21663i) q^{95} +(0.415415 - 0.909632i) q^{96} +(-14.7326 + 4.32588i) q^{97} +(0.415415 + 0.909632i) q^{98} +(-3.73536 - 4.31083i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 40 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 4 q^{10} - q^{11} - 4 q^{12} - 8 q^{13} - 4 q^{14} - 7 q^{15} - 4 q^{16} - 7 q^{17} - 4 q^{18} + 20 q^{19} - 7 q^{20} - 4 q^{21} + 10 q^{22} + 2 q^{23} + 40 q^{24} - 22 q^{25} + 14 q^{26} - 4 q^{27} - 4 q^{28} + 15 q^{29} + 4 q^{30} - 16 q^{31} - 4 q^{32} - q^{33} - 7 q^{34} - 7 q^{35} - 4 q^{36} - 16 q^{37} - 13 q^{38} - 8 q^{39} + 4 q^{40} - 17 q^{41} - 4 q^{42} + 26 q^{43} - q^{44} + 4 q^{45} - 20 q^{46} + 72 q^{47} - 4 q^{48} - 4 q^{49} + 11 q^{50} - 7 q^{51} - 19 q^{52} + 6 q^{53} - 4 q^{54} + 49 q^{55} - 4 q^{56} + 9 q^{57} - 7 q^{58} - 51 q^{59} + 4 q^{60} - 42 q^{61} - 16 q^{62} - 4 q^{63} - 4 q^{64} + 8 q^{65} - 12 q^{66} + 54 q^{67} + 4 q^{68} + 2 q^{69} + 4 q^{70} - 59 q^{71} - 4 q^{72} - 27 q^{73} - 16 q^{74} + 11 q^{75} - 2 q^{76} - 12 q^{77} - 8 q^{78} - 6 q^{79} - 7 q^{80} - 4 q^{81} - 6 q^{82} - 24 q^{83} - 4 q^{84} + 35 q^{85} - 7 q^{86} - 29 q^{87} - q^{88} + 22 q^{89} - 7 q^{90} + 36 q^{91} - 9 q^{92} + 50 q^{93} - 16 q^{94} + 22 q^{95} - 4 q^{96} + 16 q^{97} - 4 q^{98} - q^{99}+O(q^{100}) \) 40 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 + 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 4 * q^10 - q^11 - 4 * q^12 - 8 * q^13 - 4 * q^14 - 7 * q^15 - 4 * q^16 - 7 * q^17 - 4 * q^18 + 20 * q^19 - 7 * q^20 - 4 * q^21 + 10 * q^22 + 2 * q^23 + 40 * q^24 - 22 * q^25 + 14 * q^26 - 4 * q^27 - 4 * q^28 + 15 * q^29 + 4 * q^30 - 16 * q^31 - 4 * q^32 - q^33 - 7 * q^34 - 7 * q^35 - 4 * q^36 - 16 * q^37 - 13 * q^38 - 8 * q^39 + 4 * q^40 - 17 * q^41 - 4 * q^42 + 26 * q^43 - q^44 + 4 * q^45 - 20 * q^46 + 72 * q^47 - 4 * q^48 - 4 * q^49 + 11 * q^50 - 7 * q^51 - 19 * q^52 + 6 * q^53 - 4 * q^54 + 49 * q^55 - 4 * q^56 + 9 * q^57 - 7 * q^58 - 51 * q^59 + 4 * q^60 - 42 * q^61 - 16 * q^62 - 4 * q^63 - 4 * q^64 + 8 * q^65 - 12 * q^66 + 54 * q^67 + 4 * q^68 + 2 * q^69 + 4 * q^70 - 59 * q^71 - 4 * q^72 - 27 * q^73 - 16 * q^74 + 11 * q^75 - 2 * q^76 - 12 * q^77 - 8 * q^78 - 6 * q^79 - 7 * q^80 - 4 * q^81 - 6 * q^82 - 24 * q^83 - 4 * q^84 + 35 * q^85 - 7 * q^86 - 29 * q^87 - q^88 + 22 * q^89 - 7 * q^90 + 36 * q^91 - 9 * q^92 + 50 * q^93 - 16 * q^94 + 22 * q^95 - 4 * q^96 + 16 * q^97 - 4 * q^98 - q^99

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