LMFDB - Embedded newform 731.2.k.a.35.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

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

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			35.20
Character	$\chi$	$=$	731.35
Dual form			731.2.k.a.188.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173572 - 0.760469i) q^{2} +(0.719456 + 3.15214i) q^{3} +(1.25375 + 0.603775i) q^{4} +(-1.24535 + 1.56163i) q^{5} +2.52199 q^{6} -1.13105 q^{7} +(1.64944 - 2.06834i) q^{8} +(-6.71549 + 3.23401i) q^{9} +O(q^{10})$	\(q+(0.173572 - 0.760469i) q^{2} +(0.719456 + 3.15214i) q^{3} +(1.25375 + 0.603775i) q^{4} +(-1.24535 + 1.56163i) q^{5} +2.52199 q^{6} -1.13105 q^{7} +(1.64944 - 2.06834i) q^{8} +(-6.71549 + 3.23401i) q^{9} +(0.971409 + 1.21811i) q^{10} +(2.11177 - 1.01697i) q^{11} +(-1.00117 + 4.38640i) q^{12} +(-2.05833 + 2.58106i) q^{13} +(-0.196318 + 0.860127i) q^{14} +(-5.81845 - 2.80202i) q^{15} +(0.448637 + 0.562574i) q^{16} +(0.623490 + 0.781831i) q^{17} +(1.29374 + 5.66825i) q^{18} +(-1.39365 - 0.671147i) q^{19} +(-2.50424 + 1.20598i) q^{20} +(-0.813740 - 3.56523i) q^{21} +(-0.406833 - 1.78245i) q^{22} +(2.60042 - 1.25229i) q^{23} +(7.70640 + 3.71121i) q^{24} +(0.224839 + 0.985085i) q^{25} +(1.60555 + 2.01329i) q^{26} +(-8.97795 - 11.2580i) q^{27} +(-1.41805 - 0.682899i) q^{28} +(-1.52871 + 6.69771i) q^{29} +(-3.14077 + 3.93840i) q^{30} +(1.50130 - 6.57761i) q^{31} +(5.27272 - 2.53921i) q^{32} +(4.72497 + 5.92492i) q^{33} +(0.702779 - 0.338440i) q^{34} +(1.40856 - 1.76627i) q^{35} -10.3722 q^{36} +5.31241 q^{37} +(-0.752286 + 0.943336i) q^{38} +(-9.61676 - 4.63119i) q^{39} +(1.17583 + 5.15163i) q^{40} +(-0.435563 + 1.90833i) q^{41} -2.85249 q^{42} +(-4.29107 - 4.95850i) q^{43} +3.26165 q^{44} +(3.31286 - 14.5146i) q^{45} +(-0.500971 - 2.19490i) q^{46} +(0.368642 + 0.177529i) q^{47} +(-1.45054 + 1.81892i) q^{48} -5.72073 q^{49} +0.788152 q^{50} +(-2.01587 + 2.52782i) q^{51} +(-4.13901 + 1.99324i) q^{52} +(-2.42754 - 3.04404i) q^{53} +(-10.1197 + 4.87338i) q^{54} +(-1.04177 + 4.56428i) q^{55} +(-1.86560 + 2.33939i) q^{56} +(1.11288 - 4.87585i) q^{57} +(4.82806 + 2.32507i) q^{58} +(7.38582 + 9.26153i) q^{59} +(-5.60310 - 7.02607i) q^{60} +(-1.25439 - 5.49586i) q^{61} +(-4.74148 - 2.28338i) q^{62} +(7.59554 - 3.65782i) q^{63} +(-0.695559 - 3.04744i) q^{64} +(-1.46730 - 6.42867i) q^{65} +(5.32584 - 2.56479i) q^{66} +(-2.23907 - 1.07828i) q^{67} +(0.309651 + 1.35667i) q^{68} +(5.81830 + 7.29592i) q^{69} +(-1.09871 - 1.37774i) q^{70} +(8.94976 + 4.30998i) q^{71} +(-4.38780 + 19.2242i) q^{72} +(0.514006 - 0.644543i) q^{73} +(0.922086 - 4.03992i) q^{74} +(-2.94337 + 1.41745i) q^{75} +(-1.34207 - 1.68290i) q^{76} +(-2.38851 + 1.15025i) q^{77} +(-5.19107 + 6.50940i) q^{78} +6.20697 q^{79} -1.43724 q^{80} +(15.0858 - 18.9170i) q^{81} +(1.37562 + 0.662465i) q^{82} +(1.98812 + 8.71051i) q^{83} +(1.13237 - 4.96123i) q^{84} -1.99739 q^{85} +(-4.51560 + 2.40256i) q^{86} -22.2120 q^{87} +(1.37980 - 6.04529i) q^{88} +(3.22949 + 14.1493i) q^{89} +(-10.4629 - 5.03865i) q^{90} +(2.32807 - 2.91931i) q^{91} +4.01638 q^{92} +21.8137 q^{93} +(0.198991 - 0.249527i) q^{94} +(2.78367 - 1.34055i) q^{95} +(11.7975 + 14.7935i) q^{96} +(9.74563 - 4.69325i) q^{97} +(-0.992959 + 4.35044i) q^{98} +(-10.8926 + 13.6589i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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 $

$2$	0.173572	−	0.760469i	0.122734	−	0.537733i	−0.875754	−	0.482758i	$-0.839635\pi$
$2$	0.173572	−	0.760469i	0.122734	−	0.537733i	0.998488	−	0.0549746i	$-0.0175078\pi$
$3$	0.719456	+	3.15214i	0.415378	+	1.81989i	0.557665	+	0.830066i	$0.311697\pi$
$3$	0.719456	+	3.15214i	0.415378	+	1.81989i	−0.142287	+	0.989825i	$0.545446\pi$
$4$	1.25375	+	0.603775i	0.626876	+	0.301888i
$5$	−1.24535	+	1.56163i	−0.556940	+	0.698380i	−0.977989	−	0.208658i	$-0.933091\pi$
$5$	−1.24535	+	1.56163i	−0.556940	+	0.698380i	0.421049	+	0.907038i	$0.361662\pi$
$6$	2.52199			1.02960
$7$	−1.13105			−0.427496			−0.213748	−	0.976889i	$-0.568567\pi$
$7$	−1.13105			−0.427496			−0.213748	+	0.976889i	$0.568567\pi$
$8$	1.64944	−	2.06834i	0.583167	−	0.731268i
$9$	−6.71549	+	3.23401i	−2.23850	+	1.07800i
$10$	0.971409	+	1.21811i	0.307186	+	0.385200i
$11$	2.11177	−	1.01697i	0.636721	−	0.306629i	−0.0875332	−	0.996162i	$-0.527898\pi$
$11$	2.11177	−	1.01697i	0.636721	−	0.306629i	0.724254	+	0.689533i	$0.242184\pi$
$12$	−1.00117	+	4.38640i	−0.289012	+	1.26624i
$13$	−2.05833	+	2.58106i	−0.570877	+	0.715858i	−0.980527	−	0.196385i	$-0.937080\pi$
$13$	−2.05833	+	2.58106i	−0.570877	+	0.715858i	0.409649	+	0.912243i	$0.365651\pi$
$14$	−0.196318	+	0.860127i	−0.0524683	+	0.229879i
$15$	−5.81845	−	2.80202i	−1.50232	−	0.723477i
$16$	0.448637	+	0.562574i	0.112159	+	0.140643i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$17$	0.623490	+	0.781831i	0.151218	+	0.189622i
$18$	1.29374	+	5.66825i	0.304938	+	1.33602i
$19$	−1.39365	−	0.671147i	−0.319726	−	0.153972i	0.267136	−	0.963659i	$-0.413923\pi$
$19$	−1.39365	−	0.671147i	−0.319726	−	0.153972i	−0.586862	+	0.809687i	$0.699637\pi$
$20$	−2.50424	+	1.20598i	−0.559964	+	0.269665i
$21$	−0.813740	−	3.56523i	−0.177573	−	0.777996i
$22$	−0.406833	−	1.78245i	−0.0867370	−	0.380020i
$23$	2.60042	−	1.25229i	0.542224	−	0.261121i	−0.142662	−	0.989771i	$-0.545566\pi$
$23$	2.60042	−	1.25229i	0.542224	−	0.261121i	0.684886	+	0.728650i	$0.259852\pi$
$24$	7.70640	+	3.71121i	1.57306	+	0.757547i
$25$	0.224839	+	0.985085i	0.0449678	+	0.197017i
$26$	1.60555	+	2.01329i	0.314874	+	0.394840i
$27$	−8.97795	−	11.2580i	−1.72781	−	2.16660i
$28$	−1.41805	−	0.682899i	−0.267987	−	0.129056i
$29$	−1.52871	+	6.69771i	−0.283874	+	1.24373i	0.608907	+	0.793242i	$0.291608\pi$
$29$	−1.52871	+	6.69771i	−0.283874	+	1.24373i	−0.892781	+	0.450491i	$0.851249\pi$
$30$	−3.14077	+	3.93840i	−0.573423	+	0.719049i
$31$	1.50130	−	6.57761i	0.269641	−	1.18137i	−0.640791	−	0.767715i	$-0.721394\pi$
$31$	1.50130	−	6.57761i	0.269641	−	1.18137i	0.910432	−	0.413659i	$-0.135749\pi$
$32$	5.27272	−	2.53921i	0.932095	−	0.448873i
$33$	4.72497	+	5.92492i	0.822511	+	1.03140i
$34$	0.702779	−	0.338440i	0.120526	−	0.0580421i
$35$	1.40856	−	1.76627i	0.238089	−	0.298555i
$36$	−10.3722			−1.72870
$37$	5.31241			0.873355			0.436677	−	0.899618i	$-0.356155\pi$
$37$	5.31241			0.873355			0.436677	+	0.899618i	$0.356155\pi$
$38$	−0.752286	+	0.943336i	−0.122037	+	0.153029i
$39$	−9.61676	−	4.63119i	−1.53991	−	0.741583i
$40$	1.17583	+	5.15163i	0.185914	+	0.814544i
$41$	−0.435563	+	1.90833i	−0.0680236	+	0.298031i	−0.997484	−	0.0708909i	$-0.977416\pi$
$41$	−0.435563	+	1.90833i	−0.0680236	+	0.298031i	0.929460	+	0.368922i	$0.120273\pi$
$42$	−2.85249			−0.440148
$43$	−4.29107	−	4.95850i	−0.654381	−	0.756165i
$43$	−4.29107	−	4.95850i	−0.654381	−	0.756165i
$44$	3.26165			0.491713
$45$	3.31286	−	14.5146i	0.493851	−	2.16370i
$46$	−0.500971	−	2.19490i	−0.0738642	−	0.323620i
$47$	0.368642	+	0.177529i	0.0537720	+	0.0258952i	0.460577	−	0.887620i	$-0.347643\pi$
$47$	0.368642	+	0.177529i	0.0537720	+	0.0258952i	−0.406805	+	0.913515i	$0.633357\pi$
$48$	−1.45054	+	1.81892i	−0.209367	+	0.262538i
$49$	−5.72073			−0.817247
$50$	0.788152			0.111462
$51$	−2.01587	+	2.52782i	−0.282279	+	0.353966i
$52$	−4.13901	+	1.99324i	−0.573978	+	0.276413i
$53$	−2.42754	−	3.04404i	−0.333449	−	0.418131i	0.586636	−	0.809851i	$-0.300452\pi$
$53$	−2.42754	−	3.04404i	−0.333449	−	0.418131i	−0.920085	+	0.391719i	$0.871880\pi$
$54$	−10.1197	+	4.87338i	−1.37711	+	0.663183i
$55$	−1.04177	+	4.56428i	−0.140472	+	0.615447i
$56$	−1.86560	+	2.33939i	−0.249302	+	0.312614i
$57$	1.11288	−	4.87585i	0.147405	−	0.645822i
$58$	4.82806	+	2.32507i	0.633955	+	0.305296i
$59$	7.38582	+	9.26153i	0.961552	+	1.20575i	0.978575	+	0.205893i	$0.0660098\pi$
$59$	7.38582	+	9.26153i	0.961552	+	1.20575i	−0.0170227	+	0.999855i	$0.505419\pi$
$60$	−5.60310	−	7.02607i	−0.723357	−	0.907061i
$61$	−1.25439	−	5.49586i	−0.160609	−	0.703673i	−0.989532	−	0.144311i	$-0.953903\pi$
$61$	−1.25439	−	5.49586i	−0.160609	−	0.703673i	0.828924	−	0.559362i	$-0.188954\pi$
$62$	−4.74148	−	2.28338i	−0.602169	−	0.289989i
$63$	7.59554	−	3.65782i	0.956949	−	0.460842i
$64$	−0.695559	−	3.04744i	−0.0869449	−	0.380930i
$65$	−1.46730	−	6.42867i	−0.181997	−	0.797379i
$66$	5.32584	−	2.56479i	0.655566	−	0.315704i
$67$	−2.23907	−	1.07828i	−0.273546	−	0.131733i	0.292082	−	0.956393i	$-0.405652\pi$
$67$	−2.23907	−	1.07828i	−0.273546	−	0.131733i	−0.565628	+	0.824660i	$0.691366\pi$
$68$	0.309651	+	1.35667i	0.0375507	+	0.164520i
$69$	5.81830	+	7.29592i	0.700441	+	0.878325i
$70$	−1.09871	−	1.37774i	−0.131321	−	0.164671i
$71$	8.94976	+	4.30998i	1.06214	+	0.511500i	0.881566	−	0.472061i	$-0.156490\pi$
$71$	8.94976	+	4.30998i	1.06214	+	0.511500i	0.180576	+	0.983561i	$0.442204\pi$
$72$	−4.38780	+	19.2242i	−0.517108	+	2.26560i
$73$	0.514006	−	0.644543i	0.0601599	−	0.0754381i	−0.750841	−	0.660483i	$-0.770352\pi$
$73$	0.514006	−	0.644543i	0.0601599	−	0.0754381i	0.811001	+	0.585045i	$0.198923\pi$
$74$	0.922086	−	4.03992i	0.107190	−	0.469631i
$75$	−2.94337	+	1.41745i	−0.339871	+	0.163673i
$76$	−1.34207	−	1.68290i	−0.153946	−	0.193042i
$77$	−2.38851	+	1.15025i	−0.272196	+	0.131083i
$78$	−5.19107	+	6.50940i	−0.587773	+	0.737044i
$79$	6.20697			0.698339			0.349169	−	0.937060i	$-0.386464\pi$
$79$	6.20697			0.698339			0.349169	+	0.937060i	$0.386464\pi$
$80$	−1.43724			−0.160689
$81$	15.0858	−	18.9170i	1.67620	−	2.10189i
$82$	1.37562	+	0.662465i	0.151912	+	0.0731570i
$83$	1.98812	+	8.71051i	0.218224	+	0.956103i	0.958789	+	0.284118i	$0.0917008\pi$
$83$	1.98812	+	8.71051i	0.218224	+	0.956103i	−0.740565	+	0.671985i	$0.765442\pi$
$84$	1.13237	−	4.96123i	0.123551	−	0.541314i
$85$	−1.99739			−0.216648
$86$	−4.51560	+	2.40256i	−0.486929	+	0.259075i
$87$	−22.2120			−2.38137
$88$	1.37980	−	6.04529i	0.147087	−	0.644430i
$89$	3.22949	+	14.1493i	0.342325	+	1.49983i	0.794152	+	0.607719i	$0.207915\pi$
$89$	3.22949	+	14.1493i	0.342325	+	1.49983i	−0.451826	+	0.892106i	$0.649227\pi$
$90$	−10.4629	−	5.03865i	−1.10288	−	0.531120i
$91$	2.32807	−	2.91931i	0.244048	−	0.306026i
$92$	4.01638			0.418737
$93$	21.8137			2.26197
$94$	0.198991	−	0.249527i	0.0205244	−	0.0257367i
$95$	2.78367	−	1.34055i	0.285599	−	0.137537i
$96$	11.7975	+	14.7935i	1.20407	+	1.50986i
$97$	9.74563	−	4.69325i	0.989518	−	0.476527i	0.132150	−	0.991230i	$-0.457812\pi$
$97$	9.74563	−	4.69325i	0.989518	−	0.476527i	0.857369	+	0.514703i	$0.172098\pi$
$98$	−0.992959	+	4.35044i	−0.100304	+	0.439460i
$99$	−10.8926	+	13.6589i	−1.09475	+	1.37277i
$100$	−0.312877	+	1.37080i	−0.0312877	+	0.137080i
$101$	−0.652152	−	0.314060i	−0.0648916	−	0.0312501i	0.401157	−	0.916010i	$-0.368608\pi$
$101$	−0.652152	−	0.314060i	−0.0648916	−	0.0312501i	−0.466048	+	0.884759i	$0.654323\pi$
$102$	1.57243	+	1.97177i	0.155694	+	0.195234i
$103$	12.0144	+	15.0655i	1.18381	+	1.48445i	0.837591	+	0.546297i	$0.183963\pi$
$103$	12.0144	+	15.0655i	1.18381	+	1.48445i	0.346219	+	0.938154i	$0.387466\pi$
$104$	1.94341	+	8.51464i	0.190567	+	0.834929i
$105$	6.58094	+	3.16922i	0.642234	+	0.309284i
$106$	−2.73625	+	1.31771i	−0.265768	+	0.127987i
$107$	−3.42501	−	15.0059i	−0.331108	−	1.45068i	−0.816988	−	0.576654i	$-0.804358\pi$
$107$	−3.42501	−	15.0059i	−0.331108	−	1.45068i	0.485880	−	0.874025i	$-0.338499\pi$
$108$	−4.45883	−	19.5354i	−0.429051	−	1.87979i
$109$	15.7031	−	7.56222i	1.50409	−	0.724330i	0.513104	−	0.858326i	$-0.328495\pi$
$109$	15.7031	−	7.56222i	1.50409	−	0.724330i	0.990982	+	0.133997i	$0.0427812\pi$
$110$	3.29017	+	1.58446i	0.313705	+	0.151073i
$111$	3.82205	+	16.7455i	0.362773	+	1.58941i
$112$	−0.507431	−	0.636298i	−0.0479477	−	0.0601245i
$113$	7.12047	+	8.92879i	0.669838	+	0.839950i	0.994374	−	0.105923i	$-0.0337797\pi$
$113$	7.12047	+	8.92879i	0.669838	+	0.839950i	−0.324536	+	0.945873i	$0.605208\pi$
$114$	−3.51477	−	1.69262i	−0.329188	−	0.158529i
$115$	−1.28283	+	5.62043i	−0.119624	+	0.524108i
$116$	−5.96053	+	7.47427i	−0.553421	+	0.693968i
$117$	5.47550	−	23.9897i	0.506210	−	2.21785i
$118$	8.32507	−	4.00914i	0.766385	−	0.369072i
$119$	−0.705197	−	0.884289i	−0.0646453	−	0.0810627i
$120$	−15.3927	+	7.41275i	−1.40516	+	0.676688i
$121$	−3.43307	+	4.30493i	−0.312097	+	0.391357i
$122$	−4.39716			−0.398100
$123$	−6.32870			−0.570639
$124$	5.85365	−	7.34025i	0.525673	−	0.659174i
$125$	−10.8163	−	5.20885i	−0.967438	−	0.465894i
$126$	−1.46328	−	6.41107i	−0.130360	−	0.571143i
$127$	2.99420	−	13.1184i	0.265692	−	1.16407i	−0.649278	−	0.760551i	$-0.724929\pi$
$127$	2.99420	−	13.1184i	0.265692	−	1.16407i	0.914970	−	0.403521i	$-0.132214\pi$
$128$	9.26635			0.819037
$129$	12.5427	−	17.0935i	1.10432	−	1.50500i
$130$	−5.14349			−0.451114
$131$	−0.616599	+	2.70150i	−0.0538725	+	0.236031i	−0.994695	−	0.102869i	$-0.967198\pi$
$131$	−0.616599	+	2.70150i	−0.0538725	+	0.236031i	0.940822	+	0.338900i	$0.110055\pi$
$132$	2.34662	+	10.2812i	0.204247	+	0.894864i
$133$	1.57629	+	0.759100i	0.136681	+	0.0658223i
$134$	−1.20864	+	1.51558i	−0.104410	+	0.130927i
$135$	28.7615			2.47540
$136$	2.64550			0.226850
$137$	3.99262	−	5.00658i	0.341112	−	0.427741i	−0.581454	−	0.813579i	$-0.697516\pi$
$137$	3.99262	−	5.00658i	0.341112	−	0.427741i	0.922567	+	0.385838i	$0.126088\pi$
$138$	6.55821	−	3.15827i	0.558272	−	0.268850i
$139$	6.87216	+	8.61742i	0.582889	+	0.730920i	0.982603	−	0.185720i	$-0.0594618\pi$
$139$	6.87216	+	8.61742i	0.582889	+	0.730920i	−0.399713	+	0.916640i	$0.630890\pi$
$140$	2.83241	−	1.36402i	0.239383	−	0.115281i
$141$	−0.294374	+	1.28974i	−0.0247908	+	0.108615i
$142$	4.83103	−	6.05792i	0.405411	−	0.508370i
$143$	−1.72184	+	7.54386i	−0.143987	+	0.630849i
$144$	−4.83219	−	2.32706i	−0.402682	−	0.193922i
$145$	−8.55552	−	10.7283i	−0.710498	−	0.890936i
$146$	−0.400938	−	0.502760i	−0.0331819	−	0.0416087i
$147$	−4.11582	−	18.0326i	−0.339467	−	1.48730i
$148$	6.66045	+	3.20750i	0.547485	+	0.263655i
$149$	−9.39637	+	4.52505i	−0.769780	+	0.370707i	−0.777190	−	0.629266i	$-0.783356\pi$
$149$	−9.39637	+	4.52505i	−0.769780	+	0.370707i	0.00740967	+	0.999973i	$0.497641\pi$
$150$	0.567041	+	2.48437i	0.0462987	+	0.202848i
$151$	0.157672	+	0.690805i	0.0128312	+	0.0562169i	0.980938	−	0.194320i	$-0.0622500\pi$
$151$	0.157672	+	0.690805i	0.0128312	+	0.0562169i	−0.968107	+	0.250537i	$0.919393\pi$
$152$	−3.68691	+	1.77552i	−0.299048	+	0.144014i
$153$	−6.71549	−	3.23401i	−0.542915	−	0.261454i
$154$	0.460147	+	2.01604i	0.0370797	+	0.162457i
$155$	8.40212	+	10.5359i	0.674874	+	0.846266i
$156$	−9.26083	−	11.6127i	−0.741460	−	0.929761i
$157$	−8.81828	−	4.24666i	−0.703775	−	0.338920i	0.0475350	−	0.998870i	$-0.484863\pi$
$157$	−8.81828	−	4.24666i	−0.703775	−	0.338920i	−0.751310	+	0.659949i	$0.770578\pi$
$158$	1.07736	−	4.72021i	0.0857099	−	0.375520i
$159$	7.84875	−	9.84202i	0.622446	−	0.780523i
$160$	−2.60112	+	11.3962i	−0.205636	+	0.900952i
$161$	−2.94120	+	1.41641i	−0.231799	+	0.111628i
$162$	−11.7673	−	14.7557i	−0.924526	−	1.15932i
$163$	−15.9411	+	7.67683i	−1.24860	+	0.601296i	−0.937137	−	0.348962i	$-0.886534\pi$
$163$	−15.9411	+	7.67683i	−1.24860	+	0.601296i	−0.311466	+	0.950257i	$0.600820\pi$
$164$	−1.69829	+	2.12959i	−0.132614	+	0.166293i
$165$	−15.1368			−1.17840
$166$	6.96915			0.540911
$167$	−0.346636	+	0.434668i	−0.0268235	+	0.0336356i	−0.795062	−	0.606528i	$-0.792562\pi$
$167$	−0.346636	+	0.434668i	−0.0268235	+	0.0336356i	0.768239	+	0.640163i	$0.221133\pi$
$168$	−8.71632	−	4.19756i	−0.672478	−	0.323849i
$169$	0.467607	+	2.04872i	0.0359698	+	0.157594i
$170$	−0.346692	+	1.51896i	−0.0265900	+	0.116499i
$171$	11.5296			0.881687
$172$	−2.38611	−	8.80757i	−0.181939	−	0.671571i
$173$	−5.71019			−0.434138			−0.217069	−	0.976156i	$-0.569650\pi$
$173$	−5.71019			−0.434138			−0.217069	+	0.976156i	$0.569650\pi$
$174$	−3.85538	+	16.8915i	−0.292275	+	1.28054i
$175$	−0.254304	−	1.11418i	−0.0192236	−	0.0842240i
$176$	1.51954	+	0.731771i	0.114540	+	0.0551593i
$177$	−23.8799	+	29.9444i	−1.79492	+	2.25076i
$178$	11.3207			0.848520
$179$	10.3905			0.776620			0.388310	−	0.921529i	$-0.373059\pi$
$179$	10.3905			0.776620			0.388310	+	0.921529i	$0.373059\pi$
$180$	12.9170	−	16.1974i	0.962779	−	1.20729i
$181$	0.412561	−	0.198679i	0.0306654	−	0.0147677i	−0.418488	−	0.908222i	$-0.637440\pi$
$181$	0.412561	−	0.198679i	0.0306654	−	0.0147677i	0.449154	+	0.893455i	$0.351726\pi$
$182$	−1.81595	−	2.27713i	−0.134607	−	0.168792i
$183$	16.4213	−	7.90806i	1.21389	−	0.584581i
$184$	1.69907	−	7.44413i	0.125257	−	0.548789i
$185$	−6.61583	+	8.29599i	−0.486406	+	0.609934i
$186$	3.78625	−	16.5886i	0.277621	−	1.21634i
$187$	2.11177	+	1.01697i	0.154428	+	0.0743684i
$188$	0.354998	+	0.445154i	0.0258909	+	0.0324662i
$189$	10.1545	+	12.7333i	0.738631	+	0.926214i
$190$	−0.536276	−	2.34958i	−0.0389055	−	0.170456i
$191$	−3.81760	−	1.83846i	−0.276232	−	0.133026i	0.290639	−	0.956833i	$-0.406132\pi$
$191$	−3.81760	−	1.83846i	−0.276232	−	0.133026i	−0.566871	+	0.823806i	$0.691846\pi$
$192$	9.10556	−	4.38500i	0.657137	−	0.316460i
$193$	−5.83002	−	25.5430i	−0.419654	−	1.83862i	−0.534404	−	0.845229i	$-0.679464\pi$
$193$	−5.83002	−	25.5430i	−0.419654	−	1.83862i	0.114750	−	0.993394i	$-0.463393\pi$
$194$	−1.87750	−	8.22586i	−0.134797	−	0.590582i
$195$	19.2084	−	9.25030i	1.37555	−	0.662428i
$196$	−7.17238	−	3.45403i	−0.512313	−	0.246717i
$197$	1.95005	+	8.54374i	0.138935	+	0.608716i	0.995670	+	0.0929584i	$0.0296323\pi$
$197$	1.95005	+	8.54374i	0.138935	+	0.608716i	−0.856735	+	0.515758i	$0.827511\pi$
$198$	8.49654	+	10.6543i	0.603823	+	0.757170i
$199$	−0.0320167	−	0.0401477i	−0.00226961	−	0.00284600i	0.780695	−	0.624912i	$-0.214865\pi$
$199$	−0.0320167	−	0.0401477i	−0.00226961	−	0.00284600i	−0.782965	+	0.622066i	$0.786294\pi$
$200$	2.40835	+	1.15980i	0.170296	+	0.0820102i
$201$	1.78798	−	7.83365i	0.126114	−	0.552543i
$202$	−0.352028	+	0.441430i	−0.0247686	+	0.0310589i
$203$	1.72904	−	7.57543i	0.121355	−	0.531691i
$204$	−4.05364	+	1.95213i	−0.283812	+	0.136676i
$205$	−2.43766	−	3.05673i	−0.170254	−	0.213491i
$206$	13.5422	−	6.52159i	0.943532	−	0.454381i
$207$	−13.4131	+	16.8195i	−0.932277	+	1.16904i
$208$	−2.37548			−0.164710
$209$	−3.62560			−0.250788
$210$	3.55236	−	4.45452i	0.245136	−	0.307391i
$211$	−14.9134	−	7.18190i	−1.02668	−	0.494422i	−0.156770	−	0.987635i	$-0.550108\pi$
$211$	−14.9134	−	7.18190i	−1.02668	−	0.494422i	−0.869909	+	0.493213i	$0.835822\pi$
$212$	−1.20562	−	5.28216i	−0.0828023	−	0.362781i
$213$	−7.14671	+	31.3118i	−0.489685	+	2.14545i
$214$	−12.0060			−0.820716
$215$	13.0872	−	0.525943i	0.892541	−	0.0358690i
$216$	−38.0940			−2.59197
$217$	−1.69804	+	7.43960i	−0.115270	+	0.505033i
$218$	−3.02521	−	13.2543i	−0.204893	−	0.897696i
$219$	2.40150	+	1.15650i	0.162278	+	0.0781491i
$220$	−4.06192	+	5.09348i	−0.273854	+	0.343402i
$221$	−3.30130			−0.222070
$222$	13.3978			0.899203
$223$	4.14119	−	5.19289i	0.277315	−	0.347742i	−0.623595	−	0.781747i	$-0.714329\pi$
$223$	4.14119	−	5.19289i	0.277315	−	0.347742i	0.900910	+	0.434005i	$0.142900\pi$
$224$	−5.96371	+	2.87197i	−0.398467	+	0.191892i
$225$	−4.69568	−	5.88819i	−0.313045	−	0.392546i
$226$	8.02598	−	3.86511i	0.533881	−	0.257103i
$227$	−1.86015	+	8.14985i	−0.123463	+	0.540925i	0.874930	+	0.484249i	$0.160907\pi$
$227$	−1.86015	+	8.14985i	−0.123463	+	0.540925i	−0.998393	+	0.0566755i	$0.981950\pi$
$228$	4.33920	−	5.44118i	0.287370	−	0.360351i
$229$	5.79920	−	25.4080i	0.383222	−	1.67901i	−0.304090	−	0.952643i	$-0.598352\pi$
$229$	5.79920	−	25.4080i	0.383222	−	1.67901i	0.687312	−	0.726362i	$-0.258790\pi$
$230$	4.05150	+	1.95110i	0.267148	+	0.128652i
$231$	−5.34417	−	6.70137i	−0.351620	−	0.440918i
$232$	11.3316	+	14.2094i	0.743956	+	0.932891i
$233$	−4.99233	−	21.8728i	−0.327059	−	1.43294i	−0.824708	−	0.565559i	$-0.808661\pi$
$233$	−4.99233	−	21.8728i	−0.327059	−	1.43294i	0.497649	−	0.867378i	$-0.334197\pi$
$234$	−17.2931	−	8.32790i	−1.13048	−	0.544412i
$235$	−0.736324	+	0.354595i	−0.0480325	+	0.0231312i
$236$	3.66811	+	16.0710i	0.238774	+	1.04614i
$237$	4.46564	+	19.5653i	0.290075	+	1.27090i
$238$	−0.794877	+	0.382793i	−0.0515242	+	0.0248128i
$239$	−9.40532	−	4.52936i	−0.608380	−	0.292980i	0.104217	−	0.994555i	$-0.466767\pi$
$239$	−9.40532	−	4.52936i	−0.608380	−	0.292980i	−0.712596	+	0.701574i	$0.752481\pi$
$240$	−1.03403	−	4.53039i	−0.0667465	−	0.292436i
$241$	−7.07473	−	8.87143i	−0.455723	−	0.571459i	0.499888	−	0.866090i	$-0.333375\pi$
$241$	−7.07473	−	8.87143i	−0.455723	−	0.571459i	−0.955611	+	0.294631i	$0.904803\pi$
$242$	2.67788	+	3.35796i	0.172141	+	0.215858i
$243$	31.5621	+	15.1995i	2.02471	+	0.975048i
$244$	1.74556	−	7.64782i	0.111748	−	0.489601i
$245$	7.12434	−	8.93364i	0.455157	−	0.570749i
$246$	−1.09848	+	4.81278i	−0.0700368	+	0.306851i
$247$	4.60086	−	2.21566i	0.292746	−	0.140979i
$248$	−11.1284	−	13.9546i	−0.706655	−	0.886118i
$249$	−26.0264	+	12.5337i	−1.64936	+	0.794289i
$250$	−5.83857	+	7.32134i	−0.369264	+	0.463042i
$251$	−1.21372			−0.0766092			−0.0383046	−	0.999266i	$-0.512196\pi$
$251$	−1.21372			−0.0766092			−0.0383046	+	0.999266i	$0.512196\pi$
$252$	11.7314			0.739011
$253$	4.21792	−	5.28910i	0.265178	−	0.332523i
$254$	−9.45645	−	4.55398i	−0.593350	−	0.285742i
$255$	−1.43704	−	6.29607i	−0.0899908	−	0.394275i
$256$	2.99950	−	13.1417i	0.187469	−	0.821353i
$257$	27.7555			1.73134			0.865669	−	0.500617i	$-0.166893\pi$
$257$	27.7555			1.73134			0.865669	+	0.500617i	$0.166893\pi$
$258$	−10.8220	−	12.5053i	−0.673749	−	0.778544i
$259$	−6.00859			−0.373356
$260$	2.04184	−	8.94588i	0.126630	−	0.554800i
$261$	−11.3944	−	49.9222i	−0.705297	−	3.09011i
$262$	1.94738	+	0.937809i	0.120310	+	0.0579380i
$263$	6.30644	−	7.90803i	0.388872	−	0.487630i	−0.548406	−	0.836212i	$-0.684765\pi$
$263$	6.30644	−	7.90803i	0.388872	−	0.487630i	0.937278	+	0.348582i	$0.113337\pi$
$264$	20.0483			1.23389
$265$	7.77680			0.477725
$266$	0.850871	−	1.06696i	0.0521703	−	0.0654195i
$267$	−42.2772	+	20.3596i	−2.58732	+	1.24599i
$268$	−2.15620	−	2.70379i	−0.131711	−	0.165160i
$269$	22.6072	−	10.8870i	1.37838	−	0.663794i	0.409729	−	0.912207i	$-0.365623\pi$
$269$	22.6072	−	10.8870i	1.37838	−	0.663794i	0.968654	+	0.248413i	$0.0799090\pi$
$270$	4.99219	−	21.8722i	0.303815	−	1.33110i
$271$	19.0345	−	23.8685i	1.15627	−	1.44991i	0.285387	−	0.958412i	$-0.407878\pi$
$271$	19.0345	−	23.8685i	1.15627	−	1.44991i	0.870878	−	0.491499i	$-0.163551\pi$
$272$	−0.160117	+	0.701518i	−0.00970851	+	0.0425358i
$273$	10.8770	+	5.23809i	0.658307	+	0.317024i
$274$	−3.11434	−	3.90526i	−0.188144	−	0.235926i
$275$	1.47661	+	1.85161i	0.0890430	+	0.111656i
$276$	2.88961	+	12.6602i	0.173934	+	0.762055i
$277$	−7.91453	−	3.81144i	−0.475538	−	0.229007i	0.180733	−	0.983532i	$-0.442153\pi$
$277$	−7.91453	−	3.81144i	−0.475538	−	0.229007i	−0.656271	+	0.754525i	$0.727867\pi$
$278$	7.74609	−	3.73032i	0.464580	−	0.223730i
$279$	11.1901	+	49.0271i	0.669934	+	2.93517i
$280$	−1.32992	−	5.82674i	−0.0794777	−	0.348214i
$281$	−0.0328472	+	0.0158184i	−0.00195950	+	0.000943646i	−0.434863	−	0.900497i	$-0.643203\pi$
$281$	−0.0328472	+	0.0158184i	−0.00195950	+	0.000943646i	0.432904	+	0.901440i	$0.357489\pi$
$282$	0.929710	+	0.447725i	0.0553634	+	0.0266616i
$283$	−2.85032	−	12.4881i	−0.169434	−	0.742338i	−0.986226	−	0.165406i	$-0.947107\pi$
$283$	−2.85032	−	12.4881i	−0.169434	−	0.742338i	0.816792	−	0.576933i	$-0.195750\pi$
$284$	8.61853	+	10.8073i	0.511415	+	0.641295i
$285$	6.22832	+	7.81007i	0.368934	+	0.462629i
$286$	5.43801	+	2.61881i	0.321556	+	0.154853i
$287$	0.492643	−	2.15841i	0.0290798	−	0.127407i
$288$	−27.1971	+	34.1041i	−1.60260	+	2.00960i
$289$	−0.222521	+	0.974928i	−0.0130895	+	0.0573487i
$290$	−9.64353	+	4.64408i	−0.566287	+	0.272710i
$291$	21.8053	+	27.3430i	1.27825	+	1.60288i
$292$	1.03360	−	0.497753i	0.0604866	−	0.0291288i
$293$	−12.3904	+	15.5371i	−0.723854	+	0.907685i	−0.998549	−	0.0538467i	$-0.982852\pi$
$293$	−12.3904	+	15.5371i	−0.723854	+	0.907685i	0.274695	+	0.961531i	$0.411423\pi$
$294$	−14.4276			−0.841434
$295$	−23.6610			−1.37760
$296$	8.76253	−	10.9879i	0.509312	−	0.638656i
$297$	−30.4084	−	14.6439i	−1.76447	−	0.849726i
$298$	1.81021	+	7.93107i	0.104863	+	0.459434i
$299$	−2.12026	+	9.28947i	−0.122618	+	0.537224i
$300$	−4.54607			−0.262468
$301$	4.85340	+	5.60831i	0.279746	+	0.323257i
$302$	0.552703			0.0318045
$303$	0.520767	−	2.28163i	0.0299173	−	0.131076i
$304$	−0.247675	−	1.08513i	−0.0142051	−	0.0622367i
$305$	10.1446	+	4.88540i	0.580880	+	0.279737i
$306$	−3.62498	+	4.54559i	−0.207227	+	0.259854i
$307$	−22.3238			−1.27409			−0.637043	−	0.770828i	$-0.719843\pi$
$307$	−22.3238			−1.27409			−0.637043	+	0.770828i	$0.719843\pi$
$308$	−3.68909			−0.210205
$309$	−38.8449	+	48.7100i	−2.20981	+	2.77101i
$310$	9.47061	−	4.56081i	0.537895	−	0.259036i
$311$	19.2257	+	24.1083i	1.09019	+	1.36706i	0.924634	+	0.380857i	$0.124371\pi$
$311$	19.2257	+	24.1083i	1.09019	+	1.36706i	0.165558	+	0.986200i	$0.447058\pi$
$312$	−25.4412	+	12.2518i	−1.44032	+	0.693623i
$313$	−2.94190	+	12.8893i	−0.166286	+	0.728546i	0.821174	+	0.570677i	$0.193319\pi$
$313$	−2.94190	+	12.8893i	−0.166286	+	0.728546i	−0.987460	+	0.157868i	$0.949538\pi$
$314$	−4.76006	+	5.96892i	−0.268626	+	0.336846i
$315$	−3.74700	+	16.4167i	−0.211120	+	0.924975i
$316$	7.78200	+	3.74761i	0.437772	+	0.210820i
$317$	−18.4829	−	23.1768i	−1.03810	−	1.30174i	−0.952214	−	0.305432i	$-0.901199\pi$
$317$	−18.4829	−	23.1768i	−1.03810	−	1.30174i	−0.0858863	−	0.996305i	$-0.527372\pi$
$318$	−6.12223	−	7.67703i	−0.343317	−	0.430506i
$319$	3.58311	+	15.6986i	0.200616	+	0.878955i
$320$	5.62518	+	2.70894i	0.314457	+	0.151435i
$321$	44.8368	−	21.5922i	2.50254	−	1.20516i
$322$	0.566623	+	2.48254i	0.0315767	+	0.138346i
$323$	−0.344204	−	1.50805i	−0.0191520	−	0.0839104i
$324$	30.3354	−	14.6088i	1.68530	−	0.811599i
$325$	−3.00536	−	1.44730i	−0.166707	−	0.0802820i
$326$	3.07106	+	13.4552i	0.170090	+	0.745214i
$327$	35.1349	+	44.0578i	1.94297	+	2.43640i
$328$	3.22863	+	4.04857i	0.178271	+	0.223545i
$329$	−0.416952	−	0.200794i	−0.0229873	−	0.0110701i
$330$	−2.62732	+	11.5110i	−0.144629	+	0.633662i
$331$	−17.4820	+	21.9217i	−0.960898	+	1.20493i	0.0178460	+	0.999841i	$0.494319\pi$
$331$	−17.4820	+	21.9217i	−0.960898	+	1.20493i	−0.978744	+	0.205087i	$0.934252\pi$
$332$	−2.76658	+	12.1212i	−0.151836	+	0.665237i
$333$	−35.6754	+	17.1804i	−1.95500	+	0.941479i
$334$	0.270385	+	0.339052i	0.0147948	+	0.0185521i
$335$	4.47231	−	2.15375i	0.244348	−	0.117672i
$336$	1.64063	−	2.05728i	0.0895036	−	0.112234i
$337$	8.27276			0.450646			0.225323	−	0.974284i	$-0.427656\pi$
$337$	8.27276			0.450646			0.225323	+	0.974284i	$0.427656\pi$
$338$	1.63915			0.0891581
$339$	−23.0220	+	28.8686i	−1.25038	+	1.56793i
$340$	−2.50424	−	1.20598i	−0.135811	−	0.0654033i
$341$	−3.51886	−	15.4171i	−0.190557	−	0.834885i
$342$	2.00121	−	8.76786i	0.108213	−	0.474112i
$343$	14.3878			0.776866
$344$	−17.3337	+	0.696600i	−0.934573	+	0.0375581i
$345$	−18.6393			−1.00351
$346$	−0.991130	+	4.34242i	−0.0532835	+	0.233450i
$347$	−5.24673	−	22.9874i	−0.281659	−	1.23403i	−0.895665	−	0.444729i	$-0.853300\pi$
$347$	−5.24673	−	22.9874i	−0.281659	−	1.23403i	0.614006	−	0.789301i	$-0.289557\pi$
$348$	−27.8483	−	13.4110i	−1.49283	−	0.718907i
$349$	−19.4814	+	24.4289i	−1.04282	+	1.30765i	−0.0927190	+	0.995692i	$0.529556\pi$
$349$	−19.4814	+	24.4289i	−1.04282	+	1.30765i	−0.950096	+	0.311957i	$0.899016\pi$
$350$	−0.891438			−0.0476494
$351$	47.5371			2.53734
$352$	8.55245	−	10.7244i	0.455847	−	0.571614i
$353$	10.9348	−	5.26591i	0.582000	−	0.280276i	−0.119629	−	0.992819i	$-0.538171\pi$
$353$	10.9348	−	5.26591i	0.582000	−	0.280276i	0.701629	+	0.712542i	$0.252456\pi$
$354$	18.6269	+	23.3574i	0.990010	+	1.24143i
$355$	−17.8762	+	8.60873i	−0.948770	+	0.456904i
$356$	−4.49403	+	19.6896i	−0.238183	+	1.04355i
$357$	2.28005	−	2.85909i	0.120673	−	0.151319i
$358$	1.80350	−	7.90163i	0.0953177	−	0.417614i
$359$	7.19954	+	3.46711i	0.379977	+	0.182987i	0.614116	−	0.789216i	$-0.289513\pi$
$359$	7.19954	+	3.46711i	0.379977	+	0.182987i	−0.234139	+	0.972203i	$0.575227\pi$
$360$	−24.5567	−	30.7931i	−1.29425	−	1.62294i
$361$	−10.3545	−	12.9841i	−0.544973	−	0.683374i
$362$	−0.0794800	−	0.348225i	−0.00417738	−	0.0183023i
$363$	−16.0397	−	7.72431i	−0.841866	−	0.405421i
$364$	4.68142	−	2.25446i	0.245373	−	0.118166i
$365$	0.366415	+	1.60537i	0.0191791	+	0.0840289i
$366$	−3.16356	−	13.8605i	−0.165362	−	0.724498i
$367$	2.89675	−	1.39500i	0.151209	−	0.0728185i	−0.356749	−	0.934200i	$-0.616115\pi$
$367$	2.89675	−	1.39500i	0.151209	−	0.0728185i	0.507958	+	0.861382i	$0.330401\pi$
$368$	1.87115	+	0.901099i	0.0975405	+	0.0469730i
$369$	−3.24653	−	14.2240i	−0.169008	−	0.740471i
$370$	5.16052	+	6.47109i	0.268283	+	0.336416i
$371$	2.74567	+	3.44296i	0.142548	+	0.178750i
$372$	27.3490	+	13.1706i	1.41798	+	0.682862i
$373$	6.58397	−	28.8463i	0.340905	−	1.49360i	−0.456262	−	0.889845i	$-0.650812\pi$
$373$	6.58397	−	28.8463i	0.340905	−	1.49360i	0.797168	−	0.603758i	$-0.206331\pi$
$374$	1.13992	−	1.42941i	0.0589438	−	0.0739132i
$375$	8.63720	−	37.8420i	0.446023	−	1.95415i
$376$	0.975244	−	0.469653i	0.0502944	−	0.0242205i
$377$	−14.1406	−	17.7318i	−0.728278	−	0.913232i
$378$	11.4458	−	5.51203i	0.588711	−	0.283508i
$379$	1.97177	−	2.47252i	0.101283	−	0.127005i	−0.728607	−	0.684932i	$-0.759832\pi$
$379$	1.97177	−	2.47252i	0.101283	−	0.127005i	0.829890	+	0.557927i	$0.188403\pi$
$380$	4.29942			0.220556
$381$	43.5054			2.22885
$382$	−2.06072	+	2.58406i	−0.105436	+	0.132212i
$383$	11.5927	+	5.58275i	0.592359	+	0.285265i	0.705949	−	0.708263i	$-0.250521\pi$
$383$	11.5927	+	5.58275i	0.592359	+	0.285265i	−0.113590	+	0.993528i	$0.536235\pi$
$384$	6.66673	+	29.2089i	0.340210	+	1.49056i
$385$	1.17829	−	5.16242i	0.0600511	−	0.263101i
$386$	−20.4366			−1.04019
$387$	44.8525	+	19.4214i	2.27998	+	0.987247i
$388$	15.0523			0.764163
$389$	1.24389	−	5.44983i	0.0630677	−	0.276317i	−0.933555	−	0.358434i	$-0.883311\pi$
$389$	1.24389	−	5.44983i	0.0630677	−	0.276317i	0.996623	+	0.0821165i	$0.0261680\pi$
$390$	−3.70052	−	16.2130i	−0.187383	−	0.820978i
$391$	2.60042	+	1.25229i	0.131509	+	0.0633313i
$392$	−9.43603	+	11.8324i	−0.476591	+	0.597627i
$393$	−8.95913			−0.451928
$394$	6.83572			0.344379
$395$	−7.72988	+	9.69296i	−0.388932	+	0.487706i
$396$	−21.9036	+	10.5482i	−1.10070	+	0.530068i
$397$	2.70561	+	3.39272i	0.135790	+	0.170276i	0.845077	−	0.534644i	$-0.179554\pi$
$397$	2.70561	+	3.39272i	0.135790	+	0.170276i	−0.709287	+	0.704920i	$0.750983\pi$
$398$	−0.0360883	+	0.0173792i	−0.00180894	+	0.000871141i
$399$	−1.25872	+	5.51483i	−0.0630150	+	0.276087i
$400$	−0.453311	+	0.568434i	−0.0226656	+	0.0284217i
$401$	1.96518	−	8.61002i	0.0981365	−	0.429964i	−0.901861	−	0.432026i	$-0.857799\pi$
$401$	1.96518	−	8.61002i	0.0981365	−	0.429964i	0.999998	+	0.00206143i	$0.000656175\pi$
$402$	−5.64690	−	2.71941i	−0.281642	−	0.135632i
$403$	13.8871	+	17.4138i	0.691764	+	0.867444i
$404$	−0.628016	−	0.787507i	−0.0312450	−	0.0391799i
$405$	10.7541	+	47.1167i	0.534374	+	2.34125i
$406$	−5.46076	−	2.62977i	−0.271013	−	0.130513i
$407$	11.2186	−	5.40258i	0.556084	−	0.267796i
$408$	1.90332	+	8.33901i	0.0942286	+	0.412843i
$409$	5.13216	+	22.4855i	0.253769	+	1.11184i	0.927784	+	0.373118i	$0.121711\pi$
$409$	5.13216	+	22.4855i	0.253769	+	1.11184i	−0.674015	+	0.738718i	$0.735432\pi$
$410$	−2.74766	+	1.32320i	−0.135697	+	0.0653484i
$411$	18.6540	+	8.98329i	0.920133	+	0.443113i
$412$	5.96684	+	26.1424i	0.293965	+	1.28794i
$413$	−8.35372	−	10.4752i	−0.411060	−	0.515453i
$414$	10.4626	+	13.1197i	0.514208	+	0.644797i
$415$	−16.0785	−	7.74298i	−0.789261	−	0.380088i
$416$	−4.29914	+	18.8358i	−0.210783	+	0.923499i
$417$	−22.2191	+	27.8619i	−1.08808	+	1.36440i
$418$	−0.629304	+	2.75716i	−0.0307802	+	0.134857i
$419$	35.0105	−	16.8602i	1.71038	−	0.823674i	0.718640	−	0.695383i	$-0.244765\pi$
$419$	35.0105	−	16.8602i	1.71038	−	0.823674i	0.991737	−	0.128291i	$-0.0409492\pi$
$420$	6.33738	+	7.94682i	0.309232	+	0.387765i
$421$	−10.2387	+	4.93072i	−0.499006	+	0.240309i	−0.666418	−	0.745578i	$-0.732173\pi$
$421$	−10.2387	+	4.93072i	−0.499006	+	0.240309i	0.167412	+	0.985887i	$0.446459\pi$
$422$	−8.05015	+	10.0946i	−0.391875	+	0.491396i
$423$	−3.04974			−0.148284
$424$	−10.3002			−0.500222
$425$	−0.629985	+	0.789977i	−0.0305588	+	0.0383195i
$426$	22.5712	+	10.8697i	1.09358	+	0.526639i
$427$	1.41878	+	6.21608i	0.0686596	+	0.300817i
$428$	4.76611	−	20.8817i	0.230378	−	1.00935i
$429$	−25.0181			−1.20789
$430$	1.87161	−	10.0437i	0.0902572	−	0.484351i
$431$	28.3055			1.36343			0.681714	−	0.731618i	$-0.261235\pi$
$431$	28.3055			1.36343			0.681714	+	0.731618i	$0.261235\pi$
$432$	2.30560	−	10.1015i	0.110928	−	0.486009i
$433$	−4.15212	−	18.1916i	−0.199538	−	0.874233i	−0.971212	−	0.238215i	$-0.923438\pi$
$433$	−4.15212	−	18.1916i	−0.199538	−	0.874233i	0.771674	−	0.636018i	$-0.219419\pi$
$434$	5.36285	+	2.58261i	0.257425	+	0.123969i
$435$	27.6618	−	34.6868i	1.32628	−	1.66310i
$436$	24.2537			1.16154
$437$	−4.46455			−0.213568
$438$	1.29632	−	1.62553i	0.0619404	−	0.0776708i
$439$	−23.0320	+	11.0916i	−1.09926	+	0.529374i	−0.893425	−	0.449213i	$-0.851704\pi$
$439$	−23.0320	+	11.0916i	−1.09926	+	0.529374i	−0.205832	+	0.978587i	$0.565990\pi$
$440$	7.72213	+	9.68325i	0.368138	+	0.461631i
$441$	38.4175	−	18.5009i	1.82940	−	0.880995i
$442$	−0.573014	+	2.51054i	−0.0272555	+	0.119414i
$443$	−9.00163	+	11.2877i	−0.427681	+	0.536294i	−0.948250	−	0.317525i	$-0.897148\pi$
$443$	−9.00163	+	11.2877i	−0.427681	+	0.536294i	0.520569	+	0.853819i	$0.325720\pi$
$444$	−5.31861	+	23.3023i	−0.252410	+	1.10588i
$445$	−26.1178	−	12.5777i	−1.23810	−	0.596239i
$446$	−3.23024	−	4.05059i	−0.152956	−	0.191801i
$447$	−21.0239	−	26.3631i	−0.994396	−	1.24693i
$448$	0.786711	+	3.44681i	0.0371686	+	0.162846i
$449$	−1.10952	−	0.534316i	−0.0523615	−	0.0252160i	0.407520	−	0.913196i	$-0.366394\pi$
$449$	−1.10952	−	0.534316i	−0.0523615	−	0.0252160i	−0.459881	+	0.887980i	$0.652108\pi$
$450$	−5.29283	+	2.54889i	−0.249506	+	0.120156i
$451$	1.02091	+	4.47290i	0.0480728	+	0.210621i
$452$	3.53633	+	15.4937i	0.166335	+	0.728760i
$453$	−2.06408	+	0.994009i	−0.0969789	+	0.0467026i
$454$	5.87484	+	2.82917i	0.275720	+	0.132780i
$455$	1.65959	+	7.27114i	0.0778028	+	0.340876i
$456$	−8.24928	−	10.3443i	−0.386308	−	0.484415i
$457$	−3.45810	−	4.33632i	−0.161763	−	0.202845i	0.694344	−	0.719644i	$-0.255695\pi$
$457$	−3.45810	−	4.33632i	−0.161763	−	0.202845i	−0.856107	+	0.516799i	$0.827123\pi$
$458$	−18.3154	−	8.82022i	−0.855822	−	0.412142i
$459$	3.20419	−	14.0385i	0.149559	−	0.655260i
$460$	−5.00182	+	6.27208i	−0.233211	+	0.292437i
$461$	4.76412	−	20.8730i	0.221887	−	0.972152i	−0.734169	−	0.678967i	$-0.762428\pi$
$461$	4.76412	−	20.8730i	0.221887	−	0.972152i	0.956056	−	0.293184i	$-0.0947150\pi$
$462$	−6.02378	+	2.90090i	−0.280252	+	0.134962i
$463$	−23.3426	−	29.2707i	−1.08482	−	1.36032i	−0.927950	−	0.372704i	$-0.878431\pi$
$463$	−23.3426	−	29.2707i	−1.08482	−	1.36032i	−0.156871	−	0.987619i	$-0.550141\pi$
$464$	−4.45379	+	2.14483i	−0.206762	+	0.0995713i
$465$	−27.1658	+	34.0648i	−1.25978	+	1.57972i
$466$	−17.5001			−0.810678
$467$	−37.4234			−1.73175			−0.865874	−	0.500261i	$-0.833237\pi$
$467$	−37.4234			−1.73175			−0.865874	+	0.500261i	$0.833237\pi$
$468$	21.3493	−	26.7712i	0.986873	−	1.23750i
$469$	2.53250	+	1.21959i	0.116940	+	0.0563153i
$470$	0.141853	+	0.621499i	0.00654319	+	0.0286676i
$471$	7.04171	−	30.8518i	0.324465	−	1.42157i
$472$	31.3385			1.44247
$473$	−14.1044	−	6.10730i	−0.648520	−	0.280814i
$474$	15.6539			0.719007
$475$	0.347789	−	1.52377i	0.0159577	−	0.0699151i
$476$	−0.350230	−	1.53446i	−0.0160528	−	0.0703319i
$477$	26.1466	+	12.5915i	1.19717	+	0.576527i
$478$	−5.07694	+	6.36628i	−0.232214	+	0.291187i
$479$	0.172732			0.00789231			0.00394616	−	0.999992i	$-0.498744\pi$
$479$	0.172732			0.00789231			0.00394616	+	0.999992i	$0.498744\pi$
$480$	−37.7940			−1.72505
$481$	−10.9347	+	13.7117i	−0.498579	+	0.625198i
$482$	−7.97442	+	3.84028i	−0.363225	+	0.174920i
$483$	−6.58078	−	8.25203i	−0.299436	−	0.375481i
$484$	−6.90343	+	3.32451i	−0.313792	+	0.151114i
$485$	−4.80767	+	21.0638i	−0.218305	+	0.956457i
$486$	17.0370	−	21.3638i	0.772815	−	0.969080i
$487$	4.65617	−	20.4000i	0.210991	−	0.924412i	−0.752904	−	0.658130i	$-0.771348\pi$
$487$	4.65617	−	20.4000i	0.210991	−	0.924412i	0.963895	−	0.266282i	$-0.0857952\pi$
$488$	−13.4363	−	6.47060i	−0.608235	−	0.292910i
$489$	−35.6674	−	44.7255i	−1.61294	−	2.02256i
$490$	−5.55717	−	6.96847i	−0.251047	−	0.314803i
$491$	8.71418	+	38.1793i	0.393265	+	1.72301i	0.653026	+	0.757335i	$0.273499\pi$
$491$	8.71418	+	38.1793i	0.393265	+	1.72301i	−0.259761	+	0.965673i	$0.583644\pi$
$492$	−7.93461	−	3.82111i	−0.357720	−	0.172269i
$493$	−6.18961	+	2.98076i	−0.278766	+	0.134247i
$494$	−0.886359	−	3.88339i	−0.0398792	−	0.174722i
$495$	−7.76494	−	34.0204i	−0.349008	−	1.52911i
$496$	4.37393	−	2.10637i	0.196395	−	0.0945789i
$497$	−10.1226	−	4.87480i	−0.454061	−	0.218664i
$498$	5.01400	+	21.9678i	0.224683	+	0.984400i
$499$	0.364149	+	0.456628i	0.0163015	+	0.0204415i	0.789915	−	0.613216i	$-0.210124\pi$
$499$	0.364149	+	0.456628i	0.0163015	+	0.0204415i	−0.773614	+	0.633657i	$0.781553\pi$
$500$	−10.4160	−	13.0612i	−0.465816	−	0.584115i
$501$	−1.61952	−	0.779922i	−0.0723550	−	0.0348443i
$502$	−0.210668	+	0.922995i	−0.00940256	+	0.0411953i
$503$	6.70424	−	8.40686i	0.298927	−	0.374843i	−0.609571	−	0.792732i	$-0.708658\pi$
$503$	6.70424	−	8.40686i	0.298927	−	0.374843i	0.908498	+	0.417888i	$0.137230\pi$
$504$	4.96282	−	21.7435i	0.221061	−	0.968534i
$505$	1.30261	−	0.627302i	0.0579652	−	0.0279146i
$506$	−3.29009	−	4.12564i	−0.146262	−	0.183407i
$507$	−6.12144	+	2.94793i	−0.271863	+	0.130922i
$508$	11.6746	−	14.6394i	0.517975	−	0.649520i
$509$	−7.45659			−0.330508			−0.165254	−	0.986251i	$-0.552844\pi$
$509$	−7.45659			−0.330508			−0.165254	+	0.986251i	$0.552844\pi$
$510$	−5.03740			−0.223060
$511$	−0.581366	+	0.729010i	−0.0257181	+	0.0322495i
$512$	7.22419	+	3.47899i	0.319267	+	0.153751i
$513$	4.95636	+	21.7152i	0.218829	+	0.958752i
$514$	4.81757	−	21.1072i	0.212494	−	0.930997i
$515$	−38.4889			−1.69602
$516$	26.0460	−	13.8580i	1.14661	−	0.610066i
$517$	0.959028			0.0421780
$518$	−1.04292	+	4.56935i	−0.0458234	+	0.200766i
$519$	−4.10823	−	17.9994i	−0.180331	−	0.790084i
$520$	−15.7169	−	7.56886i	−0.689232	−	0.331917i
$521$	−12.7134	+	15.9421i	−0.556986	+	0.698438i	−0.977997	−	0.208617i	$-0.933104\pi$
$521$	−12.7134	+	15.9421i	−0.556986	+	0.698438i	0.421011	+	0.907055i	$0.361675\pi$
$522$	−39.9420			−1.74822
$523$	−25.9257			−1.13365			−0.566825	−	0.823838i	$-0.691829\pi$
$523$	−25.9257			−1.13365			−0.566825	+	0.823838i	$0.691829\pi$
$524$	−2.40416	+	3.01472i	−0.105026	+	0.131699i
$525$	3.32909	−	1.60321i	0.145293	−	0.0699696i
$526$	−4.91919	−	6.16847i	−0.214487	−	0.268958i
$527$	6.07863	−	2.92731i	0.264789	−	0.127516i
$528$	−1.21341	+	5.31628i	−0.0528068	+	0.231362i
$529$	−9.14634	+	11.4691i	−0.397667	+	0.498659i
$530$	1.34984	−	5.91402i	0.0586331	−	0.256889i
$531$	−79.5513	−	38.3099i	−3.45223	−	1.66251i
$532$	1.51795	+	1.90345i	0.0658114	+	0.0825249i
$533$	−4.02898	−	5.05218i	−0.174515	−	0.218834i
$534$	8.14473	+	35.6844i	0.352457	+	1.54421i
$535$	27.6990	+	13.3391i	1.19753	+	0.576702i
$536$	−5.92347	+	2.85259i	−0.255855	+	0.123213i
$537$	7.47549	+	32.7523i	0.322591	+	1.41336i
$538$	−4.35528	−	19.0817i	−0.187769	−	0.822672i
$539$	−12.0808	+	5.81783i	−0.520359	+	0.250591i
$540$	36.0598	+	17.3655i	1.55177	+	0.747291i
$541$	−4.96039	−	21.7329i	−0.213264	−	0.934370i	−0.962332	−	0.271877i	$-0.912356\pi$
$541$	−4.96039	−	21.7329i	−0.213264	−	0.934370i	0.749068	−	0.662493i	$-0.230502\pi$
$542$	−14.8474	−	18.6181i	−0.637752	−	0.799715i
$543$	0.923083	+	1.15751i	0.0396133	+	0.0496735i
$544$	5.27272	+	2.53921i	0.226066	+	0.108868i
$545$	−7.74659	+	33.9400i	−0.331828	+	1.45383i
$546$	5.87135	−	7.36244i	0.251271	−	0.315084i
$547$	−0.145815	+	0.638856i	−0.00623458	+	0.0273155i	−0.977950	−	0.208841i	$-0.933031\pi$
$547$	−0.145815	+	0.638856i	−0.00623458	+	0.0273155i	0.971715	+	0.236157i	$0.0758879\pi$
$548$	8.02860	−	3.86637i	0.342965	−	0.165163i
$549$	26.1975	+	32.8507i	1.11808	+	1.40203i
$550$	1.66439	−	0.801529i	0.0709699	−	0.0341773i
$551$	6.62563	−	8.30828i	0.282261	−	0.353945i
$552$	24.6874			1.05076
$553$	−7.02038			−0.298537
$554$	−4.27222	+	5.35719i	−0.181509	+	0.227605i
$555$	−30.9100	−	14.8855i	−1.31206	−	0.631853i
$556$	3.41300	+	14.9533i	0.144744	+	0.634163i
$557$	6.27420	−	27.4891i	0.265846	−	1.16475i	−0.648949	−	0.760832i	$-0.724791\pi$
$557$	6.27420	−	27.4891i	0.265846	−	1.16475i	0.914796	−	0.403917i	$-0.132352\pi$
$558$	39.2259			1.66056
$559$	21.6306	−	0.869281i	0.914878	−	0.0367667i
$560$	1.62559			0.0686937
$561$	−1.68632	+	7.38826i	−0.0711965	+	0.311932i
$562$	0.00632803	+	0.0277249i	0.000266932	+	0.00116951i
$563$	17.4503	+	8.40364i	0.735444	+	0.354171i	0.763823	−	0.645426i	$-0.223320\pi$
$563$	17.4503	+	8.40364i	0.735444	+	0.354171i	−0.0283788	+	0.999597i	$0.509034\pi$
$564$	−1.14778	+	1.43928i	−0.0483304	+	0.0606044i
$565$	−22.8109			−0.959664
$566$	−9.99152			−0.419975
$567$	−17.0628	+	21.3960i	−0.716568	+	0.898548i
$568$	23.6766	−	11.4021i	0.993450	−	0.478420i
$569$	−6.30345	−	7.90427i	−0.264254	−	0.331364i	0.631947	−	0.775011i	$-0.282256\pi$
$569$	−6.30345	−	7.90427i	−0.264254	−	0.331364i	−0.896202	+	0.443647i	$0.853684\pi$
$570$	7.02038	−	3.38084i	0.294051	−	0.141608i
$571$	3.46151	−	15.1658i	0.144860	−	0.634671i	−0.849407	−	0.527739i	$-0.823040\pi$
$571$	3.46151	−	15.1658i	0.144860	−	0.634671i	0.994266	−	0.106932i	$-0.0341028\pi$
$572$	−6.71355	+	8.41853i	−0.280708	+	0.351996i
$573$	3.04849	−	13.3563i	0.127353	−	0.557968i
$574$	−1.55590	−	0.749280i	−0.0649418	−	0.0312743i
$575$	1.81829	+	2.28007i	0.0758280	+	0.0950853i
$576$	14.5265	+	18.2156i	0.605270	+	0.758984i
$577$	−0.185790	−	0.814000i	−0.00773455	−	0.0338873i	0.970913	−	0.239431i	$-0.0769609\pi$
$577$	−0.185790	−	0.814000i	−0.00773455	−	0.0338873i	−0.978648	+	0.205544i	$0.934104\pi$
$578$	0.702779	+	0.338440i	0.0292317	+	0.0140773i
$579$	76.3207	−	36.7541i	3.17178	−	1.52745i
$580$	−4.24903	−	18.6162i	−0.176431	−	0.772997i
$581$	−2.24866	−	9.85201i	−0.0932900	−	0.408730i
$582$	24.5783	−	11.8363i	1.01880	−	0.490630i
$583$	−8.22211	−	3.95956i	−0.340525	−	0.163988i
$584$	−0.485309	−	2.12628i	−0.0200822	−	0.0879860i
$585$	30.6440	+	38.4264i	1.26698	+	1.58874i
$586$	9.66482	+	12.1193i	0.399250	+	0.500644i
$587$	−29.6443	−	14.2760i	−1.22355	−	0.589232i	−0.293254	−	0.956035i	$-0.594738\pi$
$587$	−29.6443	−	14.2760i	−1.22355	−	0.589232i	−0.930299	+	0.366802i	$0.880452\pi$
$588$	5.72740	−	25.0934i	0.236194	−	1.03483i
$589$	−6.50683	+	8.15931i	−0.268109	+	0.336198i
$590$	−4.10689	+	17.9935i	−0.169078	+	0.740779i
$591$	−25.5281	+	12.2937i	−1.05009	+	0.505695i
$592$	2.38335	+	2.98862i	0.0979549	+	0.122832i
$593$	−26.3303	+	12.6800i	−1.08126	+	0.520705i	−0.887718	−	0.460387i	$-0.847711\pi$
$593$	−26.3303	+	12.6800i	−1.08126	+	0.520705i	−0.193538	+	0.981093i	$0.561996\pi$
$594$	−16.4143	+	20.5829i	−0.673486	+	0.844525i
$595$	2.25915			0.0926161
$596$	−14.5128			−0.594469
$597$	0.103517	−	0.129806i	0.00423666	−	0.00531260i
$598$	6.69633	+	3.22478i	0.273833	+	0.131871i
$599$	−10.2637	−	44.9684i	−0.419365	−	1.83736i	−0.536046	−	0.844188i	$-0.680083\pi$
$599$	−10.2637	−	44.9684i	−0.419365	−	1.83736i	0.116682	−	0.993169i	$-0.462774\pi$
$600$	−1.92315	+	8.42589i	−0.0785124	+	0.343985i
$601$	−42.0367			−1.71471			−0.857357	−	0.514723i	$-0.827895\pi$
$601$	−42.0367			−1.71471			−0.857357	+	0.514723i	$0.827895\pi$
$602$	5.10736	−	2.71742i	0.208160	−	0.110754i
$603$	18.5236			0.754340
$604$	−0.219410	+	0.961297i	−0.00892766	+	0.0391146i
$605$	−2.44730	−	10.7223i	−0.0994970	−	0.435925i
$606$	−1.64472	−	0.792055i	−0.0668121	−	0.0321750i
$607$	9.90852	−	12.4249i	0.402175	−	0.504311i	−0.538965	−	0.842328i	$-0.681185\pi$
$607$	9.90852	−	12.4249i	0.402175	−	0.504311i	0.941140	+	0.338017i	$0.109756\pi$
$608$	−9.05253			−0.367128
$609$	25.1228			1.01803
$610$	5.47602	−	6.86671i	0.221718	−	0.278025i
$611$	−1.21700	+	0.586076i	−0.0492345	+	0.0237101i
$612$	−6.46694	−	8.10929i	−0.261411	−	0.327799i
$613$	25.2435	−	12.1566i	1.01958	−	0.491002i	0.152039	−	0.988374i	$-0.451416\pi$
$613$	25.2435	−	12.1566i	1.01958	−	0.491002i	0.867537	+	0.497372i	$0.165702\pi$
$614$	−3.87479	+	16.9766i	−0.156374	+	0.685118i
$615$	7.88147	−	9.88305i	0.317812	−	0.398523i
$616$	−1.56062	+	6.83751i	−0.0628791	+	0.275491i
$617$	−6.82128	−	3.28495i	−0.274614	−	0.132247i	0.291508	−	0.956568i	$-0.405843\pi$
$617$	−6.82128	−	3.28495i	−0.274614	−	0.132247i	−0.566123	+	0.824321i	$0.691557\pi$
$618$	30.3000	+	37.9950i	1.21885	+	1.52838i
$619$	4.95895	+	6.21832i	0.199317	+	0.249935i	0.871438	−	0.490506i	$-0.163188\pi$
$619$	4.95895	+	6.21832i	0.199317	+	0.249935i	−0.672121	+	0.740441i	$0.734617\pi$
$620$	4.17284	+	18.2824i	0.167585	+	0.734240i
$621$	−37.4447	−	18.0324i	−1.50261	−	0.723617i
$622$	21.6707	−	10.4360i	0.868915	−	0.418447i
$623$	−3.65271	−	16.0036i	−0.146343	−	0.641170i
$624$	−1.70905	−	7.48785i	−0.0684169	−	0.299754i
$625$	17.0526	−	8.21210i	0.682104	−	0.328484i
$626$	9.29127	+	4.47444i	0.371354	+	0.178835i
$627$	−2.60846	−	11.4284i	−0.104172	−	0.456407i
$628$	−8.49191	−	10.6485i	−0.338864	−	0.424922i
$629$	3.31223	+	4.15341i	0.132067	+	0.165607i
$630$	11.8340	+	5.69895i	0.471478	+	0.227052i
$631$	3.49565	−	15.3155i	0.139160	−	0.609699i	−0.856461	−	0.516212i	$-0.827342\pi$
$631$	3.49565	−	15.3155i	0.139160	−	0.609699i	0.995621	−	0.0934867i	$-0.0298013\pi$
$632$	10.2381	−	12.8381i	0.407248	−	0.510673i
$633$	11.9089	−	52.1761i	0.473335	−	2.07382i
$634$	−20.8333	+	10.0328i	−0.827397	+	0.398453i
$635$	16.7572	+	21.0129i	0.664991	+	0.833872i
$636$	15.7828	−	7.60057i	0.625827	−	0.301382i
$637$	11.7751	−	14.7656i	0.466548	−	0.585033i
$638$	12.5603			0.497265
$639$	−74.0406			−2.92900
$640$	−11.5399	+	14.4706i	−0.456154	+	0.571999i
$641$	5.63675	+	2.71451i	0.222638	+	0.107217i	0.541878	−	0.840457i	$-0.317713\pi$
$641$	5.63675	+	2.71451i	0.222638	+	0.107217i	−0.319240	+	0.947674i	$0.603428\pi$
$642$	−8.63782	−	37.8448i	−0.340908	−	1.49361i
$643$	6.88286	−	30.1558i	0.271434	−	1.18923i	−0.636888	−	0.770956i	$-0.719779\pi$
$643$	6.88286	−	30.1558i	0.271434	−	1.18923i	0.908322	−	0.418272i	$-0.137364\pi$
$644$	−4.54272			−0.179008
$645$	11.0735	+	40.8744i	0.436020	+	1.60943i
$646$	−1.20657			−0.0474720
$647$	−1.18825	+	5.20606i	−0.0467149	+	0.204671i	−0.992900	−	0.118956i	$-0.962045\pi$
$647$	−1.18825	+	5.20606i	−0.0467149	+	0.204671i	0.946185	+	0.323627i	$0.104902\pi$
$648$	−14.2435	−	62.4050i	−0.559539	−	2.45150i
$649$	25.0158	+	12.0470i	0.981958	+	0.472886i
$650$	−1.62228	+	2.03427i	−0.0636309	+	0.0797906i
$651$	−24.6723			−0.966985
$652$	−24.6213			−0.964243
$653$	−15.1189	+	18.9585i	−0.591648	+	0.741903i	−0.984050	−	0.177891i	$-0.943073\pi$
$653$	−15.1189	+	18.9585i	−0.591648	+	0.741903i	0.392402	+	0.919794i	$0.371644\pi$
$654$	39.6030	−	19.0718i	1.54860	−	0.745767i
$655$	−3.45084	−	4.32722i	−0.134836	−	0.169078i
$656$	−1.26899	+	0.611111i	−0.0495455	+	0.0238599i
$657$	−1.36734	+	5.99072i	−0.0533452	+	0.233720i
$658$	−0.225068	+	0.282227i	−0.00877408	+	0.0110024i
$659$	−9.38664	+	41.1256i	−0.365652	+	1.60202i	0.372929	+	0.927860i	$0.378353\pi$
$659$	−9.38664	+	41.1256i	−0.365652	+	1.60202i	−0.738581	+	0.674165i	$0.764504\pi$
$660$	−18.9778	−	9.13921i	−0.738708	−	0.355743i
$661$	17.2130	+	21.5845i	0.669510	+	0.839539i	0.994341	−	0.106233i	$-0.0338790\pi$
$661$	17.2130	+	21.5845i	0.669510	+	0.839539i	−0.324831	+	0.945772i	$0.605308\pi$
$662$	13.6364	+	17.0995i	0.529994	+	0.664592i
$663$	−2.37514	−	10.4062i	−0.0922429	−	0.404142i
$664$	21.2956	+	10.2554i	0.826429	+	0.397987i
$665$	−3.14847	+	1.51622i	−0.122092	+	0.0587966i
$666$	6.87289	+	30.1121i	0.266319	+	1.16682i
$667$	4.41222	+	19.3312i	0.170842	+	0.748508i
$668$	−0.697037	+	0.335675i	−0.0269692	+	0.0129877i
$669$	19.3482	+	9.31758i	0.748043	+	0.360239i
$670$	−0.861592	−	3.77488i	−0.0332862	−	0.145836i
$671$	−8.23812	−	10.3303i	−0.318029	−	0.398796i
$672$	−13.3435	−	16.7322i	−0.514736	−	0.645459i
$673$	27.5224	+	13.2541i	1.06091	+	0.510908i	0.881167	−	0.472805i	$-0.156759\pi$
$673$	27.5224	+	13.2541i	1.06091	+	0.510908i	0.179745	+	0.983713i	$0.442473\pi$
$674$	1.43592	−	6.29118i	0.0553096	−	0.242327i
$675$	9.07148	−	11.3753i	0.349161	−	0.437835i
$676$	−0.650704	+	2.85092i	−0.0250271	+	0.109651i
$677$	3.57022	−	1.71933i	0.137215	−	0.0660790i	−0.364017	−	0.931392i	$-0.618595\pi$
$677$	3.57022	−	1.71933i	0.137215	−	0.0660790i	0.501231	+	0.865313i	$0.332881\pi$
$678$	17.9577	+	22.5183i	0.689662	+	0.864809i
$679$	−11.0228	+	5.30829i	−0.423015	+	0.203713i
$680$	−3.29459	+	4.13129i	−0.126342	+	0.158428i
$681$	−27.0278			−1.03571
$682$	−12.3350			−0.472333
$683$	18.8650	−	23.6560i	0.721851	−	0.905172i	−0.276590	−	0.960988i	$-0.589205\pi$
$683$	18.8650	−	23.6560i	0.721851	−	0.905172i	0.998441	+	0.0558158i	$0.0177760\pi$
$684$	14.4552	+	6.96126i	0.552708	+	0.266170i
$685$	2.84618	+	12.4699i	0.108747	+	0.476452i
$686$	2.49731	−	10.9414i	0.0953479	−	0.417746i
$687$	84.2618			3.21479
$688$	0.864390	−	4.63861i	0.0329545	−	0.176845i
$689$	12.8535			0.489681
$690$	−3.23527	+	14.1746i	−0.123165	+	0.539619i
$691$	9.43599	+	41.3418i	0.358962	+	1.57272i	0.755785	+	0.654820i	$0.227256\pi$
$691$	9.43599	+	41.3418i	0.358962	+	1.57272i	−0.396823	+	0.917895i	$0.629887\pi$
$692$	−7.15917	−	3.44767i	−0.272151	−	0.131061i
$693$	12.3201	−	15.4489i	0.468002	−	0.586856i
$694$	−18.3919			−0.698148
$695$	−22.0155			−0.835094
$696$	−36.6374	+	45.9419i	−1.38874	+	1.74142i
$697$	−1.76356	+	0.849286i	−0.0667996	+	0.0321690i
$698$	15.1960	+	19.0552i	0.575177	+	0.721249i
$699$	65.3546	−	31.4731i	2.47194	−	1.19042i
$700$	0.353879	−	1.55045i	0.0133754	−	0.0586014i
$701$	28.2927	−	35.4779i	1.06860	−	1.33998i	0.131345	−	0.991337i	$-0.458070\pi$
$701$	28.2927	−	35.4779i	1.06860	−	1.33998i	0.937255	−	0.348645i	$-0.113358\pi$
$702$	8.25112	−	36.1505i	0.311418	−	1.36441i
$703$	−7.40365	−	3.56541i	−0.279234	−	0.134472i
$704$	−4.56802	−	5.72812i	−0.172164	−	0.215887i
$705$	−1.64749	−	2.06588i	−0.0620479	−	0.0778056i
$706$	−2.10659	−	9.22958i	−0.0792826	−	0.347360i
$707$	0.737616	+	0.355217i	0.0277409	+	0.0133593i
$708$	−48.0192	+	23.1248i	−1.80467	+	0.869084i
$709$	4.91100	+	21.5165i	0.184437	+	0.808070i	0.979484	+	0.201522i	$0.0645888\pi$
$709$	4.91100	+	21.5165i	0.184437	+	0.808070i	−0.795047	+	0.606547i	$0.792554\pi$
$710$	3.44386	+	15.0885i	0.129246	+	0.566262i
$711$	−41.6828	+	20.0734i	−1.56323	+	0.752811i
$712$	34.5925	+	16.6588i	1.29641	+	0.624317i
$713$	−4.33311	−	18.9846i	−0.162276	−	0.710979i
$714$	−1.77850	−	2.23016i	−0.0665586	−	0.0834618i
$715$	−9.63639	−	12.0836i	−0.360380	−	0.451903i
$716$	13.0271	+	6.27351i	0.486845	+	0.234452i
$717$	7.51049	−	32.9056i	0.280484	−	1.22888i
$718$	3.88627	−	4.87323i	0.145034	−	0.181867i
$719$	5.61395	−	24.5963i	0.209365	−	0.917288i	−0.755626	−	0.655004i	$-0.772667\pi$
$719$	5.61395	−	24.5963i	0.209365	−	0.917288i	0.964991	−	0.262284i	$-0.0844757\pi$
$720$	9.65178	−	4.64805i	0.359701	−	0.173223i
$721$	−13.5888	−	17.0398i	−0.506074	−	0.634597i
$722$	−11.6713	+	5.62058i	−0.434359	+	0.209176i
$723$	22.8741	−	28.6832i	0.850696	−	1.06674i
$724$	0.637206			0.0236816
$725$	−6.94152			−0.257802
$726$	−8.65815	+	10.8570i	−0.321334	+	0.402940i
$727$	3.11761	+	1.50136i	0.115626	+	0.0556824i	0.490802	−	0.871271i	$-0.336704\pi$
$727$	3.11761	+	1.50136i	0.115626	+	0.0556824i	−0.375177	+	0.926953i	$0.622418\pi$
$728$	−2.19809	−	9.63047i	−0.0814667	−	0.356929i
$729$	−9.05129	+	39.6563i	−0.335233	+	1.46875i
$730$	1.28443			0.0475390
$731$	1.20128	−	6.44647i	0.0444309	−	0.238431i
$732$	25.3629			0.937439
$733$	−6.01889	+	26.3705i	−0.222313	+	0.974016i	0.733419	+	0.679777i	$0.237923\pi$
$733$	−6.01889	+	26.3705i	−0.222313	+	0.974016i	−0.955732	+	0.294239i	$0.904934\pi$
$734$	−0.558060	−	2.44502i	−0.0205984	−	0.0902474i
$735$	33.2858	+	16.0296i	1.22776	+	0.591260i
$736$	10.5314	−	13.2060i	0.388194	−	0.486780i
$737$	−5.82497			−0.214566
$738$	−11.3804			−0.418918
$739$	−20.3731	+	25.5471i	−0.749438	+	0.939766i	−0.999596	−	0.0284393i	$-0.990946\pi$
$739$	−20.3731	+	25.5471i	−0.749438	+	0.939766i	0.250157	+	0.968205i	$0.419518\pi$
$740$	−13.3035	+	6.40664i	−0.489048	+	0.235513i
$741$	10.2942	+	12.9085i	0.378167	+	0.474206i
$742$	3.09483	−	1.49039i	0.113615	−	0.0547141i
$743$	−10.7133	+	46.9381i	−0.393033	+	1.72199i	0.260836	+	0.965383i	$0.416002\pi$
$743$	−10.7133	+	46.9381i	−0.393033	+	1.72199i	−0.653869	+	0.756608i	$0.726855\pi$
$744$	35.9805	−	45.1181i	1.31911	−	1.65411i
$745$	4.63537	−	20.3089i	0.169827	−	0.744061i
$746$	−20.7939	−	10.0138i	−0.761319	−	0.366632i
$747$	−41.5211	−	52.0658i	−1.51918	−	1.90499i
$748$	2.03361	+	2.55006i	0.0743561	+	0.0932395i
$749$	3.87385	+	16.9725i	0.141547	+	0.620160i
$750$	−27.2785	−	13.1366i	−0.996070	−	0.479682i
$751$	−10.9323	+	5.26473i	−0.398926	+	0.192113i	−0.622581	−	0.782556i	$-0.713916\pi$
$751$	−10.9323	+	5.26473i	−0.398926	+	0.192113i	0.223654	+	0.974669i	$0.428201\pi$
$752$	0.0655137	+	0.287034i	0.00238904	+	0.0104671i
$753$	−0.873218	−	3.82582i	−0.0318218	−	0.139420i
$754$	−15.9389	+	7.67575i	−0.580459	+	0.279534i
$755$	−1.27514	−	0.614073i	−0.0464070	−	0.0223484i
$756$	5.04315	+	22.0955i	0.183418	+	0.803605i
$757$	27.9030	+	34.9892i	1.01415	+	1.27171i	0.961995	+	0.273066i	$0.0880379\pi$
$757$	27.9030	+	34.9892i	1.01415	+	1.27171i	0.0521559	+	0.998639i	$0.483391\pi$
$758$	−1.53803	−	1.92863i	−0.0558637	−	0.0700509i
$759$	19.7066	+	9.49021i	0.715305	+	0.344473i
$760$	1.81881	−	7.96873i	0.0659752	−	0.289056i
$761$	−29.7386	+	37.2910i	−1.07802	+	1.35180i	−0.146046	+	0.989278i	$0.546655\pi$
$761$	−29.7386	+	37.2910i	−1.07802	+	1.35180i	−0.931976	+	0.362519i	$0.881917\pi$
$762$	7.55132	−	33.0845i	0.273555	−	1.19852i
$763$	−17.7610	+	8.55324i	−0.642991	+	0.309648i
$764$	−3.67631	−	4.60995i	−0.133004	−	0.166782i
$765$	13.4135	−	6.45959i	0.484965	−	0.233547i
$766$	6.25767	−	7.84688i	0.226099	−	0.283519i
$767$	−39.1070			−1.41207
$768$	43.5824			1.57264
$769$	25.8272	−	32.3863i	0.931353	−	1.16788i	−0.0542034	−	0.998530i	$-0.517262\pi$
$769$	25.8272	−	32.3863i	0.931353	−	1.16788i	0.985556	−	0.169349i	$-0.0541666\pi$
$770$	−3.72134	−	1.79210i	−0.134108	−	0.0645829i
$771$	19.9688	+	87.4892i	0.719160	+	3.15085i
$772$	8.11282	−	35.5446i	0.291987	−	1.27928i
$773$	−21.6159			−0.777470			−0.388735	−	0.921350i	$-0.627088\pi$
$773$	−21.6159			−0.777470			−0.388735	+	0.921350i	$0.627088\pi$
$774$	22.5545	−	30.7379i	0.810706	−	1.10485i
$775$	6.81705			0.244876
$776$	6.36765	−	27.8985i	0.228585	−	1.00150i
$777$	−4.32292	−	18.9400i	−0.155084	−	0.679467i
$778$	−3.92852	−	1.89188i	−0.140844	−	0.0678271i
$779$	1.88779	−	2.36722i	0.0676372	−	0.0848144i
$780$	29.6677			1.06228
$781$	23.2829			0.833129
$782$	1.40369	−	1.76017i	0.0501959	−	0.0629436i
$783$	89.1274	−	42.9215i	3.18515	−	1.53389i
$784$	−2.56653	−	3.21833i	−0.0916619	−	0.114940i
$785$	17.6136	−	8.48225i	0.628655	−	0.302744i
$786$	−1.55505	+	6.81314i	−0.0554669	+	0.243017i
$787$	3.53083	−	4.42752i	0.125861	−	0.157824i	−0.714909	−	0.699218i	$-0.753532\pi$
$787$	3.53083	−	4.42752i	0.125861	−	0.157824i	0.840769	+	0.541394i	$0.182103\pi$
$788$	−2.71361	+	11.8891i	−0.0966685	+	0.423532i
$789$	29.4645	+	14.1893i	1.04896	+	0.505154i
$790$	6.02950	+	7.56076i	0.214520	+	0.269000i
$791$	−8.05360	−	10.0989i	−0.286353	−	0.359075i
$792$	10.2845	+	45.0593i	0.365444	+	1.60111i
$793$	16.7671	+	8.07461i	0.595417	+	0.286738i
$794$	3.04968	−	1.46865i	0.108229	−	0.0521203i
$795$	5.59507	+	24.5136i	0.198437	+	0.869408i
$796$	−0.0159009	−	0.0696662i	−0.000563591	−	0.00246925i
$797$	−44.5282	+	21.4437i	−1.57727	+	0.759574i	−0.998438	−	0.0558724i	$-0.982206\pi$
$797$	−44.5282	+	21.4437i	−1.57727	+	0.759574i	−0.578833	+	0.815446i	$0.696492\pi$
$798$	3.97537	+	1.91444i	0.140727	+	0.0677704i
$799$	0.0910471	+	0.398903i	0.00322101	+	0.0141122i
$800$	3.68685	+	4.62317i	0.130350	+	0.163454i
$801$	−67.4467	−	84.5754i	−2.38311	−	2.98833i
$802$	−6.20655	−	2.98892i	−0.219161	−	0.105542i
$803$	0.429978	−	1.88385i	0.0151736	−	0.0664798i
$804$	6.97145	−	8.74192i	0.245864	−	0.308304i
$805$	1.45094	−	6.35698i	0.0511388	−	0.224054i
$806$	15.6531	−	7.53812i	0.551356	−	0.265519i
$807$	50.5824	+	63.4283i	1.78058	+	2.23278i
$808$	−1.72527	+	0.830847i	−0.0606949	+	0.0292291i
$809$	−7.18770	+	9.01309i	−0.252706	+	0.316883i	−0.891962	−	0.452111i	$-0.850671\pi$
$809$	−7.18770	+	9.01309i	−0.252706	+	0.316883i	0.639256	+	0.768994i	$0.279243\pi$
$810$	37.6974			1.32455
$811$	23.5137			0.825677			0.412839	−	0.910804i	$-0.364537\pi$
$811$	23.5137			0.825677			0.412839	+	0.910804i	$0.364537\pi$
$812$	6.74165	−	8.45376i	0.236585	−	0.296669i
$813$	88.9316	+	42.8272i	3.11897	+	1.50202i
$814$	−2.16126	−	9.46911i	−0.0757522	−	0.331892i
$815$	7.86399	−	34.4544i	0.275464	−	1.20688i
$816$	−2.32648			−0.0814432
$817$	2.65237	+	9.79036i	0.0927945	+	0.342521i
$818$	17.9903			0.629016
$819$	−6.19306	+	27.1336i	−0.216403	+	0.948123i
$820$	−1.21065	−	5.30419i	−0.0422776	−	0.185230i
$821$	35.7666	+	17.2243i	1.24826	+	0.601132i	0.937046	−	0.349206i	$-0.113549\pi$
$821$	35.7666	+	17.2243i	1.24826	+	0.601132i	0.311218	+	0.950339i	$0.399263\pi$
$822$	10.0693	−	12.6265i	0.351208	−	0.440401i
$823$	7.44563			0.259538			0.129769	−	0.991544i	$-0.458576\pi$
$823$	7.44563			0.259538			0.129769	+	0.991544i	$0.458576\pi$
$824$	50.9776			1.77589
$825$	−4.77419	+	5.98665i	−0.166216	+	0.208428i
$826$	−9.41606	+	4.53454i	−0.327627	+	0.157777i
$827$	−4.71416	−	5.91137i	−0.163927	−	0.205558i	0.693083	−	0.720858i	$-0.256252\pi$
$827$	−4.71416	−	5.91137i	−0.163927	−	0.205558i	−0.857010	+	0.515300i	$0.827681\pi$
$828$	−26.9720	+	12.9890i	−0.937341	+	0.451400i
$829$	7.71992	−	33.8232i	0.268124	−	1.17473i	−0.644069	−	0.764967i	$-0.722755\pi$
$829$	7.71992	−	33.8232i	0.268124	−	1.17473i	0.912193	−	0.409761i	$-0.134388\pi$
$830$	−8.67907	+	10.8832i	−0.301255	+	0.377762i
$831$	6.32004	−	27.6899i	0.219240	−	0.960552i
$832$	9.29733	+	4.47736i	0.322327	+	0.155224i
$833$	−3.56682	−	4.47265i	−0.123583	−	0.154968i
$834$	17.3315	+	21.7330i	0.600140	+	0.752552i
$835$	−0.247103	−	1.08263i	−0.00855136	−	0.0374660i
$836$	−4.54561	−	2.18905i	−0.157213	−	0.0757099i
$837$	−87.5293	+	42.1519i	−3.02545	+	1.45698i
$838$	−6.74479	−	29.5509i	−0.232995	−	1.02082i
$839$	6.70152	+	29.3613i	0.231362	+	1.01366i	0.948511	+	0.316744i	$0.102590\pi$
$839$	6.70152	+	29.3613i	0.231362	+	1.01366i	−0.717149	+	0.696920i	$0.754553\pi$
$840$	17.4099	−	8.38417i	0.600699	−	0.289281i
$841$	−16.3942	−	7.89503i	−0.565318	−	0.272243i
$842$	1.97250	+	8.64209i	0.0679768	+	0.297826i
$843$	−0.0734940	−	0.0921585i	−0.00253127	−	0.00317411i
$844$	−14.3614	−	18.0086i	−0.494340	−	0.619883i
$845$	−3.78167	−	1.82116i	−0.130093	−	0.0626497i
$846$	−0.529350	+	2.31923i	−0.0181994	+	0.0797369i
$847$	3.88297	−	4.86909i	0.133420	−	0.167304i
$848$	0.623411	−	2.73134i	0.0214080	−	0.0937947i
$849$	37.3135	−	17.9692i	1.28060	−	0.616703i
$850$	0.491405	+	0.616202i	0.0168550	+	0.0211356i
$851$	13.8145	−	6.65270i	0.473554	−	0.228052i
$852$	−27.8655	+	34.9422i	−0.954656	+	1.19710i
$853$	−16.2112			−0.555062			−0.277531	−	0.960717i	$-0.589516\pi$
$853$	−16.2112			−0.555062			−0.277531	+	0.960717i	$0.589516\pi$
$854$	4.97340			0.170186
$855$	−14.3584	+	18.0048i	−0.491046	+	0.615752i
$856$	−36.6867	−	17.6674i	−1.25393	−	0.603859i
$857$	−0.170859	−	0.748580i	−0.00583642	−	0.0255710i	0.971926	−	0.235287i	$-0.0756031\pi$
$857$	−0.170859	−	0.748580i	−0.00583642	−	0.0255710i	−0.977762	+	0.209716i	$0.932746\pi$
$858$	−4.34245	+	19.0255i	−0.148249	+	0.649520i
$859$	−25.0234			−0.853789			−0.426894	−	0.904301i	$-0.640392\pi$
$859$	−25.0234			−0.853789			−0.426894	+	0.904301i	$0.640392\pi$
$860$	16.7257	+	7.24234i	0.570341	+	0.246962i
$861$	7.15806			0.243946
$862$	4.91305	−	21.5255i	0.167339	−	0.733160i
$863$	−6.70056	−	29.3571i	−0.228090	−	0.999326i	−0.951196	−	0.308589i	$-0.900143\pi$
$863$	−6.70056	−	29.3571i	−0.228090	−	0.999326i	0.723106	−	0.690737i	$-0.242714\pi$
$864$	−75.9247	−	36.5634i	−2.58301	−	1.24391i
$865$	7.11122	−	8.91718i	0.241789	−	0.303193i
$866$	−14.5548			−0.494594
$867$	−3.23321			−0.109805
$868$	−6.62076	+	8.30218i	−0.224723	+	0.281794i
$869$	13.1077	−	6.31232i	0.444647	−	0.214131i
$870$	−21.5769	−	27.0566i	−0.731525	−	0.917304i
$871$	7.39185	−	3.55973i	0.250463	−	0.120617i
$872$	10.2602	−	44.9528i	0.347454	−	1.52229i
$873$	−50.2686	+	63.0349i	−1.70134	+	2.13341i
$874$	−0.774921	+	3.39515i	−0.0262121	+	0.114843i
$875$	12.2337	+	5.89146i	0.413576	+	0.199168i
$876$	2.31262	+	2.89993i	0.0781361	+	0.0979796i
$877$	13.0995	+	16.4262i	0.442338	+	0.554674i	0.952158	−	0.305607i	$-0.0988593\pi$
$877$	13.0995	+	16.4262i	0.442338	+	0.554674i	−0.509820	+	0.860281i	$0.670288\pi$
$878$	4.43712	+	19.4403i	0.149746	+	0.656078i
$879$	−57.8894	−	27.8781i	−1.95256	−	0.940304i
$880$	−3.03512	+	1.46164i	−0.102314	+	0.0492717i
$881$	6.95652	+	30.4785i	0.234371	+	1.02685i	0.945968	+	0.324259i	$0.105115\pi$
$881$	6.95652	+	30.4785i	0.234371	+	1.02685i	−0.711597	+	0.702588i	$0.752028\pi$
$882$	−7.40115	−	32.4265i	−0.249210	−	1.09186i
$883$	−27.9122	+	13.4418i	−0.939320	+	0.452353i	−0.839929	−	0.542696i	$-0.817404\pi$
$883$	−27.9122	+	13.4418i	−0.939320	+	0.452353i	−0.0993909	+	0.995048i	$0.531689\pi$
$884$	−4.13901	−	1.99324i	−0.139210	−	0.0670400i
$885$	−17.0231	−	74.5829i	−0.572224	−	2.50708i
$886$	7.02151	+	8.80469i	0.235892	+	0.295799i
$887$	19.2058	+	24.0833i	0.644868	+	0.808640i	0.991602	−	0.129324i	$-0.0412807\pi$
$887$	19.2058	+	24.0833i	0.644868	+	0.808640i	−0.346734	+	0.937964i	$0.612709\pi$
$888$	40.9396	+	19.7155i	1.37384	+	0.661608i
$889$	−3.38658	+	14.8376i	−0.113582	+	0.497636i
$890$	−14.0982	+	17.6786i	−0.472574	+	0.592590i
$891$	12.6196	−	55.2900i	0.422772	−	1.85229i
$892$	8.32737	−	4.01025i	0.278821	−	0.134273i
$893$	−0.394611	−	0.494826i	−0.0132052	−	0.0165587i
$894$	−23.6975	+	11.4121i	−0.792563	+	0.381678i
$895$	−12.9398	+	16.2260i	−0.432530	+	0.542376i
$896$	−10.4807			−0.350135
$897$	−30.8072			−1.02862
$898$	−0.598913	+	0.751013i	−0.0199860	+	0.0250616i
$899$	41.7599	+	20.1105i	1.39277	+	0.670722i
$900$	−2.33207	−	10.2175i	−0.0777357	−	0.340582i
$901$	0.866380	−	3.79586i	0.0288633	−	0.126458i
$902$	3.57870			0.119158
$903$	−14.1864	+	19.3336i	−0.472093	+	0.643381i
$904$	30.2126			1.00486
$905$	−0.203523	+	0.891691i	−0.00676532	+	0.0296408i
$906$	0.397646	+	1.74220i	0.0132109	+	0.0578807i
$907$	−30.6811	−	14.7752i	−1.01875	−	0.490604i	−0.151489	−	0.988459i	$-0.548407\pi$
$907$	−30.6811	−	14.7752i	−1.01875	−	0.490604i	−0.867260	+	0.497855i	$0.834121\pi$
$908$	−7.25285	+	9.09478i	−0.240694	+	0.301821i
$909$	5.39520			0.178947
$910$	5.81754			0.192849
$911$	25.0271	−	31.3829i	0.829184	−	1.03976i	−0.169346	−	0.985557i	$-0.554166\pi$
$911$	25.0271	−	31.3829i	0.829184	−	1.03976i	0.998530	−	0.0542066i	$-0.0172630\pi$
$912$	3.24231	−	1.56141i	0.107363	−	0.0517035i
$913$	13.0568	+	16.3727i	0.432117	+	0.541857i
$914$	−3.89787	+	1.87711i	−0.128930	+	0.0620894i
$915$	−8.10086	+	35.4922i	−0.267806	+	1.17334i
$916$	22.6115	−	28.3539i	0.747104	−	0.936838i
$917$	0.697404	−	3.05553i	0.0230303	−	0.100902i
$918$	−10.1197	−	4.87338i	−0.333999	−	0.160845i
$919$	−35.5426	−	44.5691i	−1.17244	−	1.47020i	−0.852474	−	0.522770i	$-0.824899\pi$
$919$	−35.5426	−	44.5691i	−1.17244	−	1.47020i	−0.319970	−	0.947428i	$-0.603673\pi$
$920$	9.50899	+	11.9239i	0.313502	+	0.393119i
$921$	−16.0610	−	70.3678i	−0.529228	−	2.31870i
$922$	−15.0463	−	7.24593i	−0.495525	−	0.238632i
$923$	−29.5459	+	14.2285i	−0.972514	+	0.468338i
$924$	−2.65414	−	11.6285i	−0.0873147	−	0.382551i
$925$	1.19444	+	5.23317i	0.0392729	+	0.172066i
$926$	−26.3110	+	12.6707i	−0.864635	+	0.416386i
$927$	−129.404	−	62.3179i	−4.25020	−	2.04679i
$928$	8.94643	+	39.1969i	0.293681	+	1.28670i
$929$	−6.05728	−	7.59559i	−0.198733	−	0.249203i	0.672472	−	0.740122i	$-0.265232\pi$
$929$	−6.05728	−	7.59559i	−0.198733	−	0.249203i	−0.871205	+	0.490919i	$0.836661\pi$
$930$	21.1900	+	26.5714i	0.694848	+	0.871312i
$931$	7.97270	+	3.83945i	0.261295	+	0.125833i
$932$	6.94713	−	30.4374i	0.227561	−	0.997009i
$933$	−62.1608	+	77.9472i	−2.03505	+	2.55188i
$934$	−6.49566	+	28.4593i	−0.212544	+	0.931218i
$935$	−4.21803	+	2.03129i	−0.137944	+	0.0664304i
$936$	−40.5874	−	50.8949i	−1.32664	−	1.66355i
$937$	−44.5552	+	21.4567i	−1.45556	+	0.700959i	−0.983550	−	0.180637i	$-0.942184\pi$
$937$	−44.5552	+	21.4567i	−1.45556	+	0.700959i	−0.472006	+	0.881595i	$0.656470\pi$
$938$	1.36703	−	1.71420i	0.0446351	−	0.0559706i
$939$	−42.7455			−1.39495
$940$	−1.13726			−0.0370934
$941$	−14.4422	+	18.1100i	−0.470803	+	0.590368i	−0.959367	−	0.282160i	$-0.908949\pi$
$941$	−14.4422	+	18.1100i	−0.470803	+	0.590368i	0.488565	+	0.872528i	$0.337521\pi$
$942$	−22.2396	−	10.7100i	−0.724604	−	0.348951i
$943$	1.25714	+	5.50790i	0.0409382	+	0.179362i
$944$	−1.89673	+	8.31013i	−0.0617334	+	0.270472i
$945$	−32.5306			−1.05822
$946$	−7.09254	+	9.66589i	−0.230598	+	0.314265i
$947$	14.1020			0.458252			0.229126	−	0.973397i	$-0.426413\pi$
$947$	14.1020			0.458252			0.229126	+	0.973397i	$0.426413\pi$
$948$	−6.21421	+	27.2262i	−0.201828	+	0.884267i
$949$	0.605613	+	2.65336i	0.0196590	+	0.0861318i
$950$	−1.09841	−	0.528966i	−0.0356371	−	0.0171619i
$951$	59.7589	−	74.9353i	1.93781	−	2.42994i
$952$	−2.99219			−0.0969775
$953$	−9.42789			−0.305399			−0.152700	−	0.988273i	$-0.548797\pi$
$953$	−9.42789			−0.305399			−0.152700	+	0.988273i	$0.548797\pi$
$954$	14.1138	−	17.6981i	0.456951	−	0.572998i
$955$	7.62525	−	3.67213i	0.246747	−	0.118827i
$956$	−9.05722	−	11.3574i	−0.292932	−	0.367325i
$957$	−46.9065	+	22.5890i	−1.51627	+	0.730198i
$958$	0.0299814	−	0.131357i	0.000968655	−	0.00424395i
$959$	−4.51584	+	5.66269i	−0.145824	+	0.182858i
$960$	−4.49191	+	19.6804i	−0.144976	+	0.635181i
$961$	−13.0810	−	6.29949i	−0.421969	−	0.203210i
$962$	8.52933	+	10.6954i	0.274997	+	0.344835i
$963$	71.5300	+	89.6958i	2.30502	+	2.89041i
$964$	−3.51361	−	15.3941i	−0.113166	−	0.495811i
$965$	47.1490	+	22.7058i	1.51778	+	0.730924i
$966$	−7.41765	+	3.57215i	−0.238659	+	0.114932i
$967$	12.4119	+	54.3801i	0.399140	+	1.74875i	0.630797	+	0.775948i	$0.282728\pi$
$967$	12.4119	+	54.3801i	0.399140	+	1.74875i	−0.231657	+	0.972798i	$0.574415\pi$
$968$	3.24140	+	14.2015i	0.104182	+	0.456453i
$969$	4.50597	−	2.16996i	0.144752	−	0.0697091i
$970$	15.1839	+	7.31216i	0.487525	+	0.234779i
$971$	7.02786	+	30.7911i	0.225535	+	0.988133i	0.953233	+	0.302235i	$0.0977329\pi$
$971$	7.02786	+	30.7911i	0.225535	+	0.988133i	−0.727698	+	0.685897i	$0.759410\pi$
$972$	30.3939	+	38.1128i	0.974886	+	1.22247i
$973$	−7.77275	−	9.74672i	−0.249183	−	0.312465i
$974$	−14.7054	−	7.08174i	−0.471191	−	0.226914i
$975$	2.39989	−	10.5146i	0.0768579	−	0.336736i
$976$	2.52906	−	3.17134i	0.0809531	−	0.101512i
$977$	5.32534	−	23.3318i	0.170373	−	0.746451i	−0.815473	−	0.578795i	$-0.803523\pi$
$977$	5.32534	−	23.3318i	0.170373	−	0.746451i	0.985846	−	0.167656i	$-0.0536198\pi$
$978$	−40.2032	+	19.3608i	−1.28556	+	0.619092i
$979$	21.2094	+	26.5958i	0.677855	+	0.850004i
$980$	14.3261	−	6.89907i	0.457629	−	0.220383i
$981$	−80.9978	+	101.568i	−2.58606	+	3.24282i
$982$	30.5467			0.974785
$983$	−6.01239			−0.191766			−0.0958828	−	0.995393i	$-0.530567\pi$
$983$	−6.01239			−0.191766			−0.0958828	+	0.995393i	$0.530567\pi$
$984$	−10.4388	+	13.0899i	−0.332778	+	0.417290i
$985$	−15.7706	−	7.59473i	−0.502494	−	0.241988i
$986$	1.19243	+	5.22438i	0.0379747	+	0.166378i
$987$	0.332951	−	1.45876i	0.0105980	−	0.0464327i
$988$	7.10610			0.226075
$989$	−17.3681	−	7.52049i	−0.552272	−	0.239138i
$990$	−27.2193			−0.865085
$991$	−5.59526	+	24.5144i	−0.177739	+	0.778726i	0.804932	+	0.593367i	$0.202202\pi$
$991$	−5.59526	+	24.5144i	−0.177739	+	0.778726i	−0.982671	+	0.185359i	$0.940655\pi$
$992$	−8.78601	−	38.4940i	−0.278956	−	1.22219i
$993$	−81.6780	−	39.3341i	−2.59197	−	1.24823i
$994$	−5.46413	+	6.85181i	−0.173312	+	0.217326i
$995$	0.102568			0.00325162
$996$	−40.1982			−1.27373
$997$	33.5442	−	42.0631i	1.06236	−	1.33215i	0.121785	−	0.992556i	$-0.461138\pi$
$997$	33.5442	−	42.0631i	1.06236	−	1.33215i	0.940571	−	0.339596i	$-0.110290\pi$
$998$	0.410458	−	0.197666i	0.0129928	−	0.00625701i
$999$	−47.6945	−	59.8071i	−1.50899	−	1.89221i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.35.20	✓	180
43.16	even	7	inner	731.2.k.a.188.20	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.20	✓	180	1.1	even	1	trivial
731.2.k.a.188.20	yes	180	43.16	even	7	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:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.173572 - 0.760469i) q^{2} +(0.719456 + 3.15214i) q^{3} +(1.25375 + 0.603775i) q^{4} +(-1.24535 + 1.56163i) q^{5} +2.52199 q^{6} -1.13105 q^{7} +(1.64944 - 2.06834i) q^{8} +(-6.71549 + 3.23401i) q^{9} +O(q^{10})\)	\(q+(0.173572 - 0.760469i) q^{2} +(0.719456 + 3.15214i) q^{3} +(1.25375 + 0.603775i) q^{4} +(-1.24535 + 1.56163i) q^{5} +2.52199 q^{6} -1.13105 q^{7} +(1.64944 - 2.06834i) q^{8} +(-6.71549 + 3.23401i) q^{9} +(0.971409 + 1.21811i) q^{10} +(2.11177 - 1.01697i) q^{11} +(-1.00117 + 4.38640i) q^{12} +(-2.05833 + 2.58106i) q^{13} +(-0.196318 + 0.860127i) q^{14} +(-5.81845 - 2.80202i) q^{15} +(0.448637 + 0.562574i) q^{16} +(0.623490 + 0.781831i) q^{17} +(1.29374 + 5.66825i) q^{18} +(-1.39365 - 0.671147i) q^{19} +(-2.50424 + 1.20598i) q^{20} +(-0.813740 - 3.56523i) q^{21} +(-0.406833 - 1.78245i) q^{22} +(2.60042 - 1.25229i) q^{23} +(7.70640 + 3.71121i) q^{24} +(0.224839 + 0.985085i) q^{25} +(1.60555 + 2.01329i) q^{26} +(-8.97795 - 11.2580i) q^{27} +(-1.41805 - 0.682899i) q^{28} +(-1.52871 + 6.69771i) q^{29} +(-3.14077 + 3.93840i) q^{30} +(1.50130 - 6.57761i) q^{31} +(5.27272 - 2.53921i) q^{32} +(4.72497 + 5.92492i) q^{33} +(0.702779 - 0.338440i) q^{34} +(1.40856 - 1.76627i) q^{35} -10.3722 q^{36} +5.31241 q^{37} +(-0.752286 + 0.943336i) q^{38} +(-9.61676 - 4.63119i) q^{39} +(1.17583 + 5.15163i) q^{40} +(-0.435563 + 1.90833i) q^{41} -2.85249 q^{42} +(-4.29107 - 4.95850i) q^{43} +3.26165 q^{44} +(3.31286 - 14.5146i) q^{45} +(-0.500971 - 2.19490i) q^{46} +(0.368642 + 0.177529i) q^{47} +(-1.45054 + 1.81892i) q^{48} -5.72073 q^{49} +0.788152 q^{50} +(-2.01587 + 2.52782i) q^{51} +(-4.13901 + 1.99324i) q^{52} +(-2.42754 - 3.04404i) q^{53} +(-10.1197 + 4.87338i) q^{54} +(-1.04177 + 4.56428i) q^{55} +(-1.86560 + 2.33939i) q^{56} +(1.11288 - 4.87585i) q^{57} +(4.82806 + 2.32507i) q^{58} +(7.38582 + 9.26153i) q^{59} +(-5.60310 - 7.02607i) q^{60} +(-1.25439 - 5.49586i) q^{61} +(-4.74148 - 2.28338i) q^{62} +(7.59554 - 3.65782i) q^{63} +(-0.695559 - 3.04744i) q^{64} +(-1.46730 - 6.42867i) q^{65} +(5.32584 - 2.56479i) q^{66} +(-2.23907 - 1.07828i) q^{67} +(0.309651 + 1.35667i) q^{68} +(5.81830 + 7.29592i) q^{69} +(-1.09871 - 1.37774i) q^{70} +(8.94976 + 4.30998i) q^{71} +(-4.38780 + 19.2242i) q^{72} +(0.514006 - 0.644543i) q^{73} +(0.922086 - 4.03992i) q^{74} +(-2.94337 + 1.41745i) q^{75} +(-1.34207 - 1.68290i) q^{76} +(-2.38851 + 1.15025i) q^{77} +(-5.19107 + 6.50940i) q^{78} +6.20697 q^{79} -1.43724 q^{80} +(15.0858 - 18.9170i) q^{81} +(1.37562 + 0.662465i) q^{82} +(1.98812 + 8.71051i) q^{83} +(1.13237 - 4.96123i) q^{84} -1.99739 q^{85} +(-4.51560 + 2.40256i) q^{86} -22.2120 q^{87} +(1.37980 - 6.04529i) q^{88} +(3.22949 + 14.1493i) q^{89} +(-10.4629 - 5.03865i) q^{90} +(2.32807 - 2.91931i) q^{91} +4.01638 q^{92} +21.8137 q^{93} +(0.198991 - 0.249527i) q^{94} +(2.78367 - 1.34055i) q^{95} +(11.7975 + 14.7935i) q^{96} +(9.74563 - 4.69325i) q^{97} +(-0.992959 + 4.35044i) q^{98} +(-10.8926 + 13.6589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

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