LMFDB - Embedded newform 155.2.q.b.41.4

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [155,2,Mod(41,155)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(155, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([0, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("155.41"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 155 = 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	155.q (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [40,2] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$1.23768123133$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			41.4
Character	$\chi$	$=$	155.41
Dual form			155.2.q.b.121.4

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(1.59955 + 1.16214i) q^{2} +(0.217822 + 2.07244i) q^{3} +(0.589956 + 1.81570i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.06005 + 3.56811i) q^{6} +(-2.00916 - 0.427061i) q^{7} +(0.0555144 - 0.170856i) q^{8} +(-1.31311 + 0.279109i) q^{9} +(0.206669 - 1.96632i) q^{10} +(2.12961 - 2.36517i) q^{11} +(-3.63441 + 1.61815i) q^{12} +(0.147979 + 0.0658846i) q^{13} +(-2.71745 - 3.01804i) q^{14} +(1.68587 - 1.22486i) q^{15} +(3.37641 - 2.45310i) q^{16} +(1.58759 + 1.76320i) q^{17} +(-2.42474 - 1.07957i) q^{18} +(-5.60592 + 2.49592i) q^{19} +(1.27746 - 1.41877i) q^{20} +(0.447417 - 4.25689i) q^{21} +(6.15508 - 1.30830i) q^{22} +(-1.32971 + 4.09244i) q^{23} +(0.366180 + 0.0778340i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(0.160133 + 0.277359i) q^{26} +(1.06738 + 3.28505i) q^{27} +(-0.409905 - 3.89998i) q^{28} +(-5.97126 - 4.33838i) q^{29} +4.12010 q^{30} +(-0.429475 - 5.55118i) q^{31} +7.89229 q^{32} +(5.36554 + 3.89829i) q^{33} +(0.490347 + 4.66534i) q^{34} +(0.634736 + 1.95352i) q^{35} +(-1.28145 - 2.21954i) q^{36} +(3.31949 - 5.74952i) q^{37} +(-11.8676 - 2.52253i) q^{38} +(-0.104309 + 0.321029i) q^{39} +(-0.175723 + 0.0373510i) q^{40} +(0.327304 - 3.11409i) q^{41} +(5.66277 - 6.28915i) q^{42} +(1.07849 - 0.480176i) q^{43} +(5.55081 + 2.47138i) q^{44} +(0.898268 + 0.997628i) q^{45} +(-6.88294 + 5.00075i) q^{46} +(-8.10626 + 5.88954i) q^{47} +(5.81936 + 6.46305i) q^{48} +(-2.54046 - 1.13109i) q^{49} +(-1.80622 + 0.804181i) q^{50} +(-3.30831 + 3.67425i) q^{51} +(-0.0323253 + 0.307555i) q^{52} +(-1.92842 + 0.409899i) q^{53} +(-2.11037 + 6.49506i) q^{54} +(-3.11310 - 0.661710i) q^{55} +(-0.184503 + 0.319569i) q^{56} +(-6.39372 - 11.0742i) q^{57} +(-4.50953 - 13.8789i) q^{58} +(0.452488 + 4.30513i) q^{59} +(3.21856 + 2.33842i) q^{60} +11.0158 q^{61} +(5.76429 - 9.37850i) q^{62} +2.75744 q^{63} +(5.87131 + 4.26576i) q^{64} +(-0.0169319 - 0.161096i) q^{65} +(4.05209 + 12.4710i) q^{66} +(0.556088 + 0.963173i) q^{67} +(-2.26483 + 3.92280i) q^{68} +(-8.77096 - 1.86432i) q^{69} +(-1.25497 + 3.86240i) q^{70} +(-7.96448 + 1.69290i) q^{71} +(-0.0252089 + 0.239846i) q^{72} +(3.32013 - 3.68738i) q^{73} +(11.9915 - 5.33894i) q^{74} +(-1.90369 - 0.847579i) q^{75} +(-7.83908 - 8.70618i) q^{76} +(-5.28880 + 3.84254i) q^{77} +(-0.539928 + 0.392281i) q^{78} +(10.0598 + 11.1726i) q^{79} +(-3.81265 - 1.69750i) q^{80} +(-10.2547 + 4.56569i) q^{81} +(4.14255 - 4.60077i) q^{82} +(-1.03427 + 9.84046i) q^{83} +(7.99318 - 1.69900i) q^{84} +(0.733180 - 2.25650i) q^{85} +(2.28314 + 0.485295i) q^{86} +(7.69034 - 13.3201i) q^{87} +(-0.285879 - 0.495157i) q^{88} +(-3.34267 - 10.2877i) q^{89} +(0.277441 + 2.63967i) q^{90} +(-0.269178 - 0.195569i) q^{91} -8.21510 q^{92} +(11.4109 - 2.09923i) q^{93} -19.8109 q^{94} +(4.96449 + 3.60691i) q^{95} +(1.71911 + 16.3563i) q^{96} +(4.60071 + 14.1595i) q^{97} +(-2.74911 - 4.76161i) q^{98} +(-2.13626 + 3.70011i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q + 2 q^{2} + 3 q^{3} - 2 q^{4} - 20 q^{5} - 12 q^{6} - 2 q^{7} - 31 q^{8} + 6 q^{9} - q^{10} + 16 q^{11} - q^{12} + 2 q^{13} - 10 q^{14} - 6 q^{15} - 16 q^{16} + 4 q^{17} + 37 q^{18} - 9 q^{19} + q^{20}+ \cdots + 17 q^{99}+O(q^{100}) $ 40 * q + 2 * q^2 + 3 * q^3 - 2 * q^4 - 20 * q^5 - 12 * q^6 - 2 * q^7 - 31 * q^8 + 6 * q^9 - q^10 + 16 * q^11 - q^12 + 2 * q^13 - 10 * q^14 - 6 * q^15 - 16 * q^16 + 4 * q^17 + 37 * q^18 - 9 * q^19 + q^20 - 24 * q^21 - 2 * q^22 - 4 * q^23 + 110 * q^24 - 20 * q^25 - 4 * q^26 - 9 * q^27 + 38 * q^28 - 22 * q^29 + 24 * q^30 - 6 * q^31 - 60 * q^32 + 9 * q^33 - 16 * q^34 + 4 * q^35 - q^36 - 38 * q^37 - 32 * q^38 - 55 * q^39 + 8 * q^40 - 24 * q^41 - 68 * q^42 + 26 * q^43 - 52 * q^44 + 6 * q^45 - 50 * q^46 + 4 * q^47 + 105 * q^48 + 93 * q^49 - q^50 - 42 * q^51 + 15 * q^52 + 13 * q^53 + 102 * q^54 + q^55 + 5 * q^56 - 36 * q^57 - 37 * q^58 + 31 * q^59 + 17 * q^60 + 68 * q^61 + 47 * q^62 - 10 * q^63 - 23 * q^64 + 2 * q^65 - 2 * q^67 - 28 * q^68 - 48 * q^69 - 10 * q^70 - 30 * q^71 + 39 * q^72 + 25 * q^73 + 50 * q^74 + 3 * q^75 + 14 * q^76 - 64 * q^77 - 22 * q^78 + 49 * q^79 - 7 * q^80 + 25 * q^81 - 66 * q^82 - 18 * q^83 - 18 * q^84 + 7 * q^85 + 163 * q^86 - 36 * q^87 - 124 * q^88 + 4 * q^89 - 23 * q^90 - 37 * q^91 + 110 * q^92 + 7 * q^93 - 94 * q^94 - 12 * q^95 + 22 * q^96 + 46 * q^97 - 13 * q^98 + 17 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/155\mathbb{Z}\right)^\times$.

$n$	$32$	$96$
$\chi(n)$	$1$	$e\left(\frac{7}{15}\right)$

Coefficient data

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

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

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

$2$	1.59955	+	1.16214i	1.13105	+	0.821758i	0.985848	−	0.167643i	$-0.0536156\pi$
$2$	1.59955	+	1.16214i	1.13105	+	0.821758i	0.145206	+	0.989401i	$0.453616\pi$
$3$	0.217822	+	2.07244i	0.125760	+	1.19652i	0.857334	+	0.514760i	$0.172119\pi$
$3$	0.217822	+	2.07244i	0.125760	+	1.19652i	−0.731575	+	0.681761i	$0.761214\pi$
$4$	0.589956	+	1.81570i	0.294978	+	0.907849i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−2.06005	+	3.56811i	−0.841011	+	1.45667i
$7$	−2.00916	−	0.427061i	−0.759392	−	0.161414i	−0.188088	−	0.982152i	$-0.560229\pi$
$7$	−2.00916	−	0.427061i	−0.759392	−	0.161414i	−0.571304	+	0.820738i	$0.693562\pi$
$8$	0.0555144	−	0.170856i	0.0196273	−	0.0604067i
$9$	−1.31311	+	0.279109i	−0.437702	+	0.0930364i
$10$	0.206669	−	1.96632i	0.0653544	−	0.621806i
$11$	2.12961	−	2.36517i	0.642101	−	0.713125i	−0.330967	−	0.943642i	$-0.607375\pi$
$11$	2.12961	−	2.36517i	0.642101	−	0.713125i	0.973068	+	0.230517i	$0.0740417\pi$
$12$	−3.63441	+	1.61815i	−1.04916	+	0.467118i
$13$	0.147979	+	0.0658846i	0.0410421	+	0.0182731i	0.427155	−	0.904178i	$-0.359516\pi$
$13$	0.147979	+	0.0658846i	0.0410421	+	0.0182731i	−0.386113	+	0.922451i	$0.626183\pi$
$14$	−2.71745	−	3.01804i	−0.726270	−	0.806605i
$15$	1.68587	−	1.22486i	0.435290	−	0.316257i
$16$	3.37641	−	2.45310i	0.844102	−	0.613276i
$17$	1.58759	+	1.76320i	0.385048	+	0.427639i	0.904244	−	0.427016i	$-0.140435\pi$
$17$	1.58759	+	1.76320i	0.385048	+	0.427639i	−0.519196	+	0.854655i	$0.673769\pi$
$18$	−2.42474	−	1.07957i	−0.571517	−	0.254456i
$19$	−5.60592	+	2.49592i	−1.28609	+	0.572602i	−0.931948	−	0.362591i	$-0.881892\pi$
$19$	−5.60592	+	2.49592i	−1.28609	+	0.572602i	−0.354138	+	0.935193i	$0.615226\pi$
$20$	1.27746	−	1.41877i	0.285649	−	0.317246i
$21$	0.447417	−	4.25689i	0.0976344	−	0.928929i
$22$	6.15508	−	1.30830i	1.31227	−	0.278931i
$23$	−1.32971	+	4.09244i	−0.277264	+	0.853332i	0.711347	+	0.702841i	$0.248085\pi$
$23$	−1.32971	+	4.09244i	−0.277264	+	0.853332i	−0.988611	+	0.150491i	$0.951915\pi$
$24$	0.366180	+	0.0778340i	0.0747462	+	0.0158878i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	0.160133	+	0.277359i	0.0314047	+	0.0543945i
$27$	1.06738	+	3.28505i	0.205417	+	0.632209i
$28$	−0.409905	−	3.89998i	−0.0774647	−	0.737027i
$29$	−5.97126	−	4.33838i	−1.10884	−	0.805617i	−0.126356	−	0.991985i	$-0.540328\pi$
$29$	−5.97126	−	4.33838i	−1.10884	−	0.805617i	−0.982480	+	0.186368i	$0.940328\pi$
$30$	4.12010			0.752223
$31$	−0.429475	−	5.55118i	−0.0771360	−	0.997021i
$31$	−0.429475	−	5.55118i	−0.0771360	−	0.997021i
$32$	7.89229			1.39517
$33$	5.36554	+	3.89829i	0.934020	+	0.678606i
$34$	0.490347	+	4.66534i	0.0840938	+	0.800099i
$35$	0.634736	+	1.95352i	0.107290	+	0.330205i
$36$	−1.28145	−	2.21954i	−0.213575	−	0.369923i
$37$	3.31949	−	5.74952i	0.545721	−	0.945216i	−0.452841	−	0.891592i	$-0.649589\pi$
$37$	3.31949	−	5.74952i	0.545721	−	0.945216i	0.998561	−	0.0536243i	$-0.0170773\pi$
$38$	−11.8676	−	2.52253i	−1.92517	−	0.409208i
$39$	−0.104309	+	0.321029i	−0.0167027	+	0.0514058i
$40$	−0.175723	+	0.0373510i	−0.0277842	+	0.00590571i
$41$	0.327304	−	3.11409i	0.0511163	−	0.486339i	−0.938777	−	0.344525i	$-0.888040\pi$
$41$	0.327304	−	3.11409i	0.0511163	−	0.486339i	0.989893	−	0.141814i	$-0.0452935\pi$
$42$	5.66277	−	6.28915i	0.873785	−	0.970437i
$43$	1.07849	−	0.480176i	0.164468	−	0.0732261i	−0.322851	−	0.946450i	$-0.604641\pi$
$43$	1.07849	−	0.480176i	0.164468	−	0.0732261i	0.487320	+	0.873224i	$0.337975\pi$
$44$	5.55081	+	2.47138i	0.836816	+	0.372574i
$45$	0.898268	+	0.997628i	0.133906	+	0.148718i
$46$	−6.88294	+	5.00075i	−1.01483	+	0.737320i
$47$	−8.10626	+	5.88954i	−1.18242	+	0.859078i	−0.992442	−	0.122711i	$-0.960841\pi$
$47$	−8.10626	+	5.88954i	−1.18242	+	0.859078i	−0.189977	+	0.981789i	$0.560841\pi$
$48$	5.81936	+	6.46305i	0.839952	+	0.932861i
$49$	−2.54046	−	1.13109i	−0.362923	−	0.161584i
$50$	−1.80622	+	0.804181i	−0.255438	+	0.113728i
$51$	−3.30831	+	3.67425i	−0.463256	+	0.514498i
$52$	−0.0323253	+	0.307555i	−0.00448271	+	0.0426502i
$53$	−1.92842	+	0.409899i	−0.264889	+	0.0563039i	−0.338441	−	0.940987i	$-0.609900\pi$
$53$	−1.92842	+	0.409899i	−0.264889	+	0.0563039i	0.0735524	+	0.997291i	$0.476566\pi$
$54$	−2.11037	+	6.49506i	−0.287185	+	0.883865i
$55$	−3.11310	−	0.661710i	−0.419770	−	0.0892250i
$56$	−0.184503	+	0.319569i	−0.0246553	+	0.0427042i
$57$	−6.39372	−	11.0742i	−0.846869	−	1.46682i
$58$	−4.50953	−	13.8789i	−0.592131	−	1.82239i
$59$	0.452488	+	4.30513i	0.0589089	+	0.560480i	0.983676	+	0.179947i	$0.0575928\pi$
$59$	0.452488	+	4.30513i	0.0589089	+	0.560480i	−0.924767	+	0.380533i	$0.875741\pi$
$60$	3.21856	+	2.33842i	0.415515	+	0.301889i
$61$	11.0158			1.41043			0.705217	−	0.708992i	$-0.250850\pi$
$61$	11.0158			1.41043			0.705217	+	0.708992i	$0.250850\pi$
$62$	5.76429	−	9.37850i	0.732065	−	1.19107i
$63$	2.75744			0.347405
$64$	5.87131	+	4.26576i	0.733914	+	0.533220i
$65$	−0.0169319	−	0.161096i	−0.00210014	−	0.0199815i
$66$	4.05209	+	12.4710i	0.498777	+	1.53508i
$67$	0.556088	+	0.963173i	0.0679370	+	0.117670i	0.897993	−	0.440010i	$-0.145025\pi$
$67$	0.556088	+	0.963173i	0.0679370	+	0.117670i	−0.830056	+	0.557680i	$0.811692\pi$
$68$	−2.26483	+	3.92280i	−0.274651	+	0.475709i
$69$	−8.77096	−	1.86432i	−1.05590	−	0.224438i
$70$	−1.25497	+	3.86240i	−0.149998	+	0.461646i
$71$	−7.96448	+	1.69290i	−0.945210	+	0.200911i	−0.654638	−	0.755943i	$-0.727179\pi$
$71$	−7.96448	+	1.69290i	−0.945210	+	0.200911i	−0.290572	+	0.956853i	$0.593846\pi$
$72$	−0.0252089	+	0.239846i	−0.00297089	+	0.0282661i
$73$	3.32013	−	3.68738i	0.388592	−	0.431575i	−0.516830	−	0.856088i	$-0.672888\pi$
$73$	3.32013	−	3.68738i	0.388592	−	0.431575i	0.905422	+	0.424513i	$0.139555\pi$
$74$	11.9915	−	5.33894i	1.39398	−	0.620639i
$75$	−1.90369	−	0.847579i	−0.219820	−	0.0978700i
$76$	−7.83908	−	8.70618i	−0.899204	−	0.998667i
$77$	−5.28880	+	3.84254i	−0.602715	+	0.437898i
$78$	−0.539928	+	0.392281i	−0.0611348	+	0.0444170i
$79$	10.0598	+	11.1726i	1.13182	+	1.25701i	0.962451	+	0.271457i	$0.0875055\pi$
$79$	10.0598	+	11.1726i	1.13182	+	1.25701i	0.169366	+	0.985553i	$0.445828\pi$
$80$	−3.81265	−	1.69750i	−0.426268	−	0.189787i
$81$	−10.2547	+	4.56569i	−1.13941	+	0.507299i
$82$	4.14255	−	4.60077i	0.457469	−	0.508070i
$83$	−1.03427	+	9.84046i	−0.113526	+	1.08013i	0.778343	+	0.627839i	$0.216060\pi$
$83$	−1.03427	+	9.84046i	−0.113526	+	1.08013i	−0.891870	+	0.452292i	$0.850606\pi$
$84$	7.99318	−	1.69900i	0.872127	−	0.185376i
$85$	0.733180	−	2.25650i	0.0795245	−	0.244751i
$86$	2.28314	+	0.485295i	0.246197	+	0.0523307i
$87$	7.69034	−	13.3201i	0.824491	−	1.42806i
$88$	−0.285879	−	0.495157i	−0.0304748	−	0.0527839i
$89$	−3.34267	−	10.2877i	−0.354322	−	1.09049i	−0.956402	−	0.292055i	$-0.905661\pi$
$89$	−3.34267	−	10.2877i	−0.354322	−	1.09049i	0.602080	−	0.798436i	$-0.294339\pi$
$90$	0.277441	+	2.63967i	0.0292448	+	0.278246i
$91$	−0.269178	−	0.195569i	−0.0282175	−	0.0205012i
$92$	−8.21510			−0.856483
$93$	11.4109	−	2.09923i	1.18326	−	0.217680i
$94$	−19.8109			−2.04333
$95$	4.96449	+	3.60691i	0.509346	+	0.370061i
$96$	1.71911	+	16.3563i	0.175456	+	1.66936i
$97$	4.60071	+	14.1595i	0.467132	+	1.43768i	0.856282	+	0.516509i	$0.172769\pi$
$97$	4.60071	+	14.1595i	0.467132	+	1.43768i	−0.389150	+	0.921174i	$0.627231\pi$
$98$	−2.74911	−	4.76161i	−0.277702	−	0.480995i
$99$	−2.13626	+	3.70011i	−0.214702	+	0.371875i
$100$	−1.86742	−	0.396932i	−0.186742	−	0.0396932i
$101$	−6.01277	+	18.5054i	−0.598293	+	1.84136i	−0.0606929	+	0.998156i	$0.519331\pi$
$101$	−6.01277	+	18.5054i	−0.598293	+	1.84136i	−0.537600	+	0.843200i	$0.680669\pi$
$102$	−9.56181	+	2.03243i	−0.946760	+	0.201240i
$103$	1.25613	−	11.9513i	0.123770	−	1.17759i	−0.739608	−	0.673037i	$-0.764989\pi$
$103$	1.25613	−	11.9513i	0.123770	−	1.17759i	0.863379	−	0.504557i	$-0.168344\pi$
$104$	0.0194718	−	0.0216256i	0.00190936	−	0.00212056i
$105$	−3.91028	+	1.74097i	−0.381604	+	0.169901i
$106$	−3.56097	−	1.58545i	−0.345872	−	0.153992i
$107$	11.0720	+	12.2967i	1.07037	+	1.18876i	0.981249	+	0.192743i	$0.0617385\pi$
$107$	11.0720	+	12.2967i	1.07037	+	1.18876i	0.0891190	+	0.996021i	$0.471595\pi$
$108$	−5.33496	+	3.87607i	−0.513357	+	0.372975i
$109$	1.27602	−	0.927086i	0.122221	−	0.0887988i	−0.524995	−	0.851105i	$-0.675933\pi$
$109$	1.27602	−	0.927086i	0.122221	−	0.0887988i	0.647216	+	0.762306i	$0.275933\pi$
$110$	−4.21056	−	4.67630i	−0.401461	−	0.445868i
$111$	12.6386	+	5.62706i	1.19960	+	0.534097i
$112$	−7.83138	+	3.48675i	−0.739996	+	0.329467i
$113$	−3.74627	+	4.16066i	−0.352420	+	0.391402i	−0.893124	−	0.449811i	$-0.851491\pi$
$113$	−3.74627	+	4.16066i	−0.352420	+	0.391402i	0.540704	+	0.841213i	$0.318158\pi$
$114$	2.64277	−	25.1442i	0.247518	−	2.35497i
$115$	4.20901	−	0.894653i	0.392492	−	0.0834268i
$116$	4.35440	−	13.4015i	0.404296	−	1.24429i
$117$	−0.212701	−	0.0452111i	−0.0196642	−	0.00417976i
$118$	−4.27940	+	7.41213i	−0.393950	+	0.682342i
$119$	−2.43674	−	4.22056i	−0.223376	−	0.386898i
$120$	−0.115684	−	0.356038i	−0.0105604	−	0.0325017i
$121$	0.0910177	+	0.865975i	0.00827433	+	0.0787250i
$122$	17.6204	+	12.8020i	1.59528	+	1.15904i
$123$	6.52505			0.588344
$124$	9.82589	−	4.05475i	0.882391	−	0.364127i
$125$	1.00000			0.0894427
$126$	4.41067	+	3.20454i	0.392933	+	0.285483i
$127$	−1.33113	−	12.6648i	−0.118118	−	1.12382i	−0.879626	−	0.475666i	$-0.842207\pi$
$127$	−1.33113	−	12.6648i	−0.118118	−	1.12382i	0.761508	−	0.648156i	$-0.224460\pi$
$128$	−0.443657	−	1.36544i	−0.0392141	−	0.120689i
$129$	1.23005	+	2.13051i	0.108300	+	0.187581i
$130$	0.160133	−	0.277359i	0.0140446	−	0.0243260i
$131$	12.3982	+	2.63533i	1.08324	+	0.230250i	0.714749	−	0.699381i	$-0.246541\pi$
$131$	12.3982	+	2.63533i	1.08324	+	0.230250i	0.368491	+	0.929631i	$0.379874\pi$
$132$	−3.91269	+	12.0420i	−0.340556	+	1.04812i
$133$	12.3291	−	2.62064i	1.06907	−	0.227238i
$134$	−0.229852	+	2.18690i	−0.0198562	+	0.188919i
$135$	2.31125	−	2.56690i	0.198921	−	0.220924i
$136$	0.389387	−	0.173366i	0.0333897	−	0.0148660i
$137$	2.31163	+	1.02920i	0.197496	+	0.0879309i	0.503102	−	0.864227i	$-0.332192\pi$
$137$	2.31163	+	1.02920i	0.197496	+	0.0879309i	−0.305605	+	0.952158i	$0.598859\pi$
$138$	−11.8630	−	13.1752i	−1.00984	−	1.12155i
$139$	−1.25546	+	0.912143i	−0.106486	+	0.0773670i	−0.639754	−	0.768580i	$-0.720964\pi$
$139$	−1.25546	+	0.912143i	−0.106486	+	0.0773670i	0.533268	+	0.845947i	$0.320964\pi$
$140$	−3.17253	+	2.30498i	−0.268128	+	0.194806i
$141$	−13.9714	−	15.5168i	−1.17661	−	1.30675i
$142$	−14.7070	−	6.54797i	−1.23418	−	0.549494i
$143$	0.470966	−	0.209688i	0.0393842	−	0.0175350i
$144$	−3.74889	+	4.16357i	−0.312408	+	0.346964i
$145$	−0.771513	+	7.34046i	−0.0640707	+	0.609592i
$146$	9.59599	−	2.03969i	0.794169	−	0.168806i
$147$	1.79074	−	5.51132i	0.147697	−	0.454566i
$148$	12.3978	+	2.63522i	1.01909	+	0.216614i
$149$	10.6480	−	18.4430i	0.872322	−	1.51091i	0.0127332	−	0.999919i	$-0.495947\pi$
$149$	10.6480	−	18.4430i	0.872322	−	1.51091i	0.859589	−	0.510987i	$-0.170720\pi$
$150$	−2.06005	−	3.56811i	−0.168202	−	0.291335i
$151$	−5.13437	−	15.8020i	−0.417829	−	1.28595i	−0.909696	−	0.415275i	$-0.863685\pi$
$151$	−5.13437	−	15.8020i	−0.417829	−	1.28595i	0.491867	−	0.870670i	$-0.336315\pi$
$152$	0.115232	+	1.09636i	0.00934658	+	0.0889268i
$153$	−2.57680	−	1.87216i	−0.208322	−	0.151355i
$154$	−12.9253			−1.04155
$155$	−4.59272	+	3.14752i	−0.368896	+	0.252815i
$156$	−0.644429			−0.0515956
$157$	−10.8853	−	7.90865i	−0.868744	−	0.631179i	0.0615060	−	0.998107i	$-0.480410\pi$
$157$	−10.8853	−	7.90865i	−0.868744	−	0.631179i	−0.930250	+	0.366928i	$0.880410\pi$
$158$	3.10709	+	29.5620i	0.247187	+	2.35183i
$159$	−1.26954	−	3.90725i	−0.100681	−	0.309865i
$160$	−3.94615	−	6.83493i	−0.311970	−	0.540348i
$161$	4.41933	−	7.65451i	0.348292	−	0.603260i
$162$	−21.7089	−	4.61437i	−1.70561	−	0.362539i
$163$	2.00370	−	6.16676i	0.156942	−	0.483018i	−0.841410	−	0.540397i	$-0.818274\pi$
$163$	2.00370	−	6.16676i	0.156942	−	0.483018i	0.998352	+	0.0573787i	$0.0182742\pi$
$164$	5.84734	−	1.24289i	0.456601	−	0.0970535i
$165$	0.693251	−	6.59584i	0.0539695	−	0.513485i
$166$	−13.0904	+	14.5383i	−1.01601	+	1.12839i
$167$	−12.8621	+	5.72660i	−0.995303	+	0.443137i	−0.838741	−	0.544531i	$-0.816708\pi$
$167$	−12.8621	+	5.72660i	−0.995303	+	0.443137i	−0.156562	+	0.987668i	$0.550041\pi$
$168$	−0.702476	−	0.312762i	−0.0541972	−	0.0241301i
$169$	−8.68114	−	9.64138i	−0.667780	−	0.741645i
$170$	3.79513	−	2.75732i	0.291073	−	0.211477i
$171$	6.66453	−	4.84206i	0.509649	−	0.370282i
$172$	1.50812	+	1.67493i	0.114993	+	0.127712i
$173$	10.6968	+	4.76254i	0.813266	+	0.362089i	0.770855	−	0.637011i	$-0.219829\pi$
$173$	10.6968	+	4.76254i	0.813266	+	0.362089i	0.0424112	+	0.999100i	$0.486496\pi$
$174$	27.7809	−	12.3689i	2.10606	−	0.937680i
$175$	1.37443	−	1.52646i	0.103897	−	0.115389i
$176$	1.38842	−	13.2099i	0.104656	−	0.995735i
$177$	−8.82355	+	1.87550i	−0.663219	+	0.140972i
$178$	6.60897	−	20.3403i	0.495363	−	1.52457i
$179$	17.7498	+	3.77284i	1.32668	+	0.281995i	0.816138	−	0.577856i	$-0.196111\pi$
$179$	17.7498	+	3.77284i	1.32668	+	0.281995i	0.510544	+	0.859852i	$0.329444\pi$
$180$	−1.28145	+	2.21954i	−0.0955138	+	0.165435i
$181$	−9.58570	−	16.6029i	−0.712500	−	1.23409i	−0.963916	−	0.266207i	$-0.914230\pi$
$181$	−9.58570	−	16.6029i	−0.712500	−	1.23409i	0.251416	−	0.967879i	$-0.419104\pi$
$182$	−0.203285	−	0.625646i	−0.0150685	−	0.0463759i
$183$	2.39949	+	22.8296i	0.177375	+	1.68761i
$184$	0.625398	+	0.454378i	0.0461050	+	0.0334972i
$185$	−6.63898			−0.488107
$186$	20.6919	+	9.90328i	1.51721	+	0.726143i
$187$	7.55122			0.552200
$188$	−15.4760	−	11.2439i	−1.12870	−	0.820049i
$189$	−0.741620	−	7.05604i	−0.0539449	−	0.513252i
$190$	3.74921	+	11.5389i	0.271996	+	0.837118i
$191$	−5.29258	−	9.16702i	−0.382958	−	0.663302i	0.608526	−	0.793534i	$-0.291761\pi$
$191$	−5.29258	−	9.16702i	−0.382958	−	0.663302i	−0.991484	+	0.130232i	$0.958428\pi$
$192$	−7.56161	+	13.0971i	−0.545712	+	0.945202i
$193$	6.11254	+	1.29926i	0.439990	+	0.0935228i	0.422580	−	0.906326i	$-0.361125\pi$
$193$	6.11254	+	1.29926i	0.439990	+	0.0935228i	0.0174102	+	0.999848i	$0.494458\pi$
$194$	−9.09632	+	27.9956i	−0.653077	+	2.00997i
$195$	0.330173	−	0.0701805i	0.0236442	−	0.00502573i
$196$	0.554950	−	5.28000i	0.0396393	−	0.377143i
$197$	10.2357	−	11.3679i	0.729264	−	0.809930i	−0.258479	−	0.966017i	$-0.583221\pi$
$197$	10.2357	−	11.3679i	0.729264	−	0.809930i	0.987743	+	0.156087i	$0.0498881\pi$
$198$	−7.71711	+	3.43588i	−0.548431	+	0.244177i
$199$	18.2652	+	8.13220i	1.29479	+	0.576476i	0.934366	−	0.356314i	$-0.115967\pi$
$199$	18.2652	+	8.13220i	1.29479	+	0.576476i	0.360420	+	0.932790i	$0.382633\pi$
$200$	0.120208	+	0.133505i	0.00850001	+	0.00944022i
$201$	−1.87499	+	1.36226i	−0.132251	+	0.0960863i
$202$	−31.1236	+	22.6126i	−2.18985	+	1.59102i
$203$	10.1445	+	11.2666i	0.712004	+	0.790761i
$204$	−8.62308	−	3.83924i	−0.603737	−	0.268801i
$205$	−2.86053	+	1.27359i	−0.199788	+	0.0889515i
$206$	15.8983	−	17.6569i	1.10769	−	1.23021i
$207$	0.603817	−	5.74493i	0.0419682	−	0.399300i
$208$	0.661260	−	0.140555i	0.0458501	−	0.00974575i
$209$	−6.03515	+	18.5743i	−0.417460	+	1.28481i
$210$	−8.27795	−	1.75953i	−0.571233	−	0.121419i
$211$	−6.00045	+	10.3931i	−0.413088	+	0.715489i	−0.995226	−	0.0976009i	$-0.968883\pi$
$211$	−6.00045	+	10.3931i	−0.413088	+	0.715489i	0.582138	+	0.813090i	$0.302216\pi$
$212$	−1.88194	−	3.25961i	−0.129252	−	0.223871i
$213$	−5.24327	−	16.1371i	−0.359263	−	1.10570i
$214$	3.41971	+	32.5364i	0.233767	+	2.22414i
$215$	−0.955090	−	0.693914i	−0.0651366	−	0.0473245i
$216$	0.620525			0.0422214
$217$	−1.50780	+	11.3366i	−0.102356	+	0.769581i
$218$	3.11847			0.211210
$219$	8.36506	+	6.07758i	0.565259	+	0.410684i
$220$	−0.635127	−	6.04283i	−0.0428203	−	0.407408i
$221$	0.118763	+	0.365515i	0.00798887	+	0.0245872i
$222$	13.6766	+	23.6886i	0.917914	+	1.58987i
$223$	−11.1858	+	19.3743i	−0.749055	+	1.29740i	0.199222	+	0.979954i	$0.436159\pi$
$223$	−11.1858	+	19.3743i	−0.749055	+	1.29740i	−0.948276	+	0.317446i	$0.897175\pi$
$224$	−15.8569	−	3.37049i	−1.05948	−	0.225200i
$225$	0.414837	−	1.27674i	0.0276558	−	0.0851158i
$226$	−10.8276	+	2.30148i	−0.720243	+	0.153092i
$227$	1.50641	−	14.3325i	0.0999839	−	0.951283i	−0.823415	−	0.567440i	$-0.807934\pi$
$227$	1.50641	−	14.3325i	0.0999839	−	0.951283i	0.923398	−	0.383843i	$-0.125400\pi$
$228$	16.3355	−	18.1424i	1.08184	−	1.20151i
$229$	13.2236	−	5.88752i	0.873839	−	0.389058i	0.0797179	−	0.996817i	$-0.474598\pi$
$229$	13.2236	−	5.88752i	0.873839	−	0.389058i	0.794121	+	0.607759i	$0.207931\pi$
$230$	7.77224	+	3.46042i	0.512486	+	0.228174i
$231$	−9.11544	−	10.1237i	−0.599752	−	0.666092i
$232$	−1.07273	+	0.779383i	−0.0704281	+	0.0511690i
$233$	−11.5780	+	8.41194i	−0.758503	+	0.551084i	−0.898451	−	0.439074i	$-0.855306\pi$
$233$	−11.5780	+	8.41194i	−0.758503	+	0.551084i	0.139948	+	0.990159i	$0.455306\pi$
$234$	−0.287685	−	0.319507i	−0.0188066	−	0.0208868i
$235$	9.15362	+	4.07546i	0.597116	+	0.265853i
$236$	−7.54987	+	3.36142i	−0.491455	+	0.218810i
$237$	−20.9632	+	23.2819i	−1.36170	+	1.51232i
$238$	1.00720	−	9.58283i	0.0652868	−	0.621163i
$239$	−5.61706	+	1.19394i	−0.363337	+	0.0772298i	−0.385963	−	0.922514i	$-0.626131\pi$
$239$	−5.61706	+	1.19394i	−0.363337	+	0.0772298i	0.0226256	+	0.999744i	$0.492797\pi$
$240$	2.68749	−	8.27124i	0.173477	−	0.533906i
$241$	27.9704	+	5.94530i	1.80173	+	0.382970i	0.981865	−	0.189581i	$-0.0607129\pi$
$241$	27.9704	+	5.94530i	1.80173	+	0.382970i	0.819869	+	0.572551i	$0.194046\pi$
$242$	−0.860799	+	1.49095i	−0.0553342	+	0.0958417i
$243$	−6.51464	−	11.2837i	−0.417914	−	0.723849i
$244$	6.49886	+	20.0014i	0.416047	+	1.28046i
$245$	0.290681	+	2.76565i	0.0185709	+	0.176691i
$246$	10.4372	+	7.58303i	0.665448	+	0.483477i
$247$	−0.994002			−0.0632469
$248$	−0.972293	−	0.234792i	−0.0617407	−	0.0149093i
$249$	−20.6190			−1.30668
$250$	1.59955	+	1.16214i	0.101164	+	0.0735003i
$251$	1.09628	+	10.4304i	0.0691964	+	0.658360i	0.973062	+	0.230544i	$0.0740504\pi$
$251$	1.09628	+	10.4304i	0.0691964	+	0.658360i	−0.903866	+	0.427817i	$0.859283\pi$
$252$	1.62677	+	5.00668i	0.102477	+	0.315391i
$253$	6.84754	+	11.8603i	0.430501	+	0.745649i
$254$	12.5891	−	21.8050i	0.789912	−	1.36817i
$255$	4.83615	+	1.02795i	0.302851	+	0.0643730i
$256$	5.36246	−	16.5040i	0.335154	−	1.03150i
$257$	−18.5038	+	3.93310i	−1.15424	+	0.245340i	−0.744984	−	0.667082i	$-0.767543\pi$
$257$	−18.5038	+	3.93310i	−1.15424	+	0.245340i	−0.409251	+	0.912422i	$0.634210\pi$
$258$	−0.508427	+	4.83736i	−0.0316533	+	0.301161i
$259$	−9.12479	+	10.1341i	−0.566987	+	0.629703i
$260$	0.282513	−	0.125783i	0.0175207	−	0.00780072i
$261$	9.05178	+	4.03011i	0.560291	+	0.249458i
$262$	16.7690	+	18.6239i	1.03599	+	1.15059i
$263$	−1.27205	+	0.924198i	−0.0784379	+	0.0569885i	−0.626313	−	0.779572i	$-0.715437\pi$
$263$	−1.27205	+	0.924198i	−0.0784379	+	0.0569885i	0.547875	+	0.836560i	$0.315437\pi$
$264$	0.963911	−	0.700322i	0.0593246	−	0.0431018i
$265$	1.31919	+	1.46511i	0.0810374	+	0.0900012i
$266$	22.7666	+	10.1363i	1.39591	+	0.621499i
$267$	20.5924	−	9.16835i	1.26024	−	0.561094i
$268$	−1.42076	+	1.57792i	−0.0867870	+	0.0963867i
$269$	−0.193236	+	1.83852i	−0.0117818	+	0.112097i	−0.998832	−	0.0483141i	$-0.984615\pi$
$269$	−0.193236	+	1.83852i	−0.0117818	+	0.112097i	0.987050	+	0.160411i	$0.0512818\pi$
$270$	6.68007	−	1.41989i	0.406536	−	0.0864119i
$271$	0.706698	−	2.17499i	0.0429289	−	0.132121i	−0.927295	−	0.374331i	$-0.877872\pi$
$271$	0.706698	−	2.17499i	0.0429289	−	0.132121i	0.970224	+	0.242210i	$0.0778723\pi$
$272$	9.68567	+	2.05875i	0.587280	+	0.124830i
$273$	0.346672	−	0.600453i	0.0209815	−	0.0363411i
$274$	2.50149	+	4.33271i	0.151121	+	0.261749i
$275$	0.983493	+	3.02688i	0.0593068	+	0.182528i
$276$	−1.78943	−	17.0253i	−0.107711	−	1.02480i
$277$	10.0043	+	7.26855i	0.601100	+	0.436725i	0.846269	−	0.532755i	$-0.178843\pi$
$277$	10.0043	+	7.26855i	0.601100	+	0.436725i	−0.245169	+	0.969480i	$0.578843\pi$
$278$	−3.06821			−0.184019
$279$	2.11333	+	7.16941i	0.126522	+	0.429221i
$280$	0.369007			0.0220524
$281$	−10.0581	−	7.30764i	−0.600016	−	0.435937i	0.245868	−	0.969303i	$-0.420927\pi$
$281$	−10.0581	−	7.30764i	−0.600016	−	0.435937i	−0.845885	+	0.533366i	$0.820927\pi$
$282$	−4.31524	−	41.0568i	−0.256969	−	2.44489i
$283$	−9.79435	−	30.1439i	−0.582214	−	1.79187i	−0.610183	−	0.792260i	$-0.708904\pi$
$283$	−9.79435	−	30.1439i	−0.582214	−	1.79187i	0.0279694	−	0.999609i	$-0.491096\pi$
$284$	−7.77249	−	13.4624i	−0.461213	−	0.798844i
$285$	−6.39372	+	11.0742i	−0.378731	+	0.655982i
$286$	0.997021	+	0.211923i	0.0589551	+	0.0125313i
$287$	−1.98751	+	6.11694i	−0.117319	+	0.361071i
$288$	−10.3634	+	2.20281i	−0.610670	+	0.129802i
$289$	1.18856	−	11.3084i	0.0699152	−	0.665199i
$290$	−9.76473	+	10.8448i	−0.573404	+	0.636830i
$291$	−28.3426	+	12.6189i	−1.66147	+	0.739736i
$292$	8.65391	+	3.85297i	0.506432	+	0.225478i
$293$	−1.74545	−	1.93851i	−0.101970	−	0.113249i	0.689999	−	0.723810i	$-0.257611\pi$
$293$	−1.74545	−	1.93851i	−0.101970	−	0.113249i	−0.791969	+	0.610561i	$0.790944\pi$
$294$	9.26931	−	6.73455i	0.540597	−	0.392767i
$295$	3.50211	−	2.54443i	0.203901	−	0.148143i
$296$	−0.798060	−	0.886335i	−0.0463863	−	0.0515172i
$297$	10.0428	+	4.47134i	0.582743	+	0.259454i
$298$	38.4654	−	17.1259i	2.22824	−	0.992077i
$299$	−0.466399	+	0.517988i	−0.0269725	+	0.0299560i
$300$	0.415852	−	3.95657i	0.0240092	−	0.228433i
$301$	−2.37193	+	0.504169i	−0.136716	+	0.0290598i
$302$	10.1514	−	31.2429i	0.584149	−	1.79783i
$303$	−39.6610	−	8.43020i	−2.27846	−	0.484303i
$304$	−12.8051	+	22.1791i	−0.734424	+	1.27206i
$305$	−5.50792	−	9.54000i	−0.315383	−	0.546259i
$306$	−1.94601	−	5.98922i	−0.111246	−	0.342381i
$307$	−2.31586	−	22.0339i	−0.132173	−	1.25754i	−0.836620	−	0.547784i	$-0.815471\pi$
$307$	−2.31586	−	22.0339i	−0.132173	−	1.25754i	0.704447	−	0.709757i	$-0.251195\pi$
$308$	−10.0971	−	7.33594i	−0.575333	−	0.418004i
$309$	25.0419			1.42458
$310$	−11.0042	−	0.302768i	−0.624994	−	0.0171961i
$311$	−24.8445			−1.40880			−0.704402	−	0.709801i	$-0.748785\pi$
$311$	−24.8445			−1.40880			−0.704402	+	0.709801i	$0.748785\pi$
$312$	0.0490590	+	0.0356435i	0.00277742	+	0.00201791i
$313$	0.400785	+	3.81321i	0.0226537	+	0.215535i	0.999993	+	0.00385478i	$0.00122702\pi$
$313$	0.400785	+	3.81321i	0.0226537	+	0.215535i	−0.977339	+	0.211681i	$0.932106\pi$
$314$	−8.22066	−	25.3006i	−0.463919	−	1.42779i
$315$	−1.37872	−	2.38801i	−0.0776821	−	0.134549i
$316$	−14.3511	+	24.8569i	−0.807314	+	1.39831i
$317$	−3.10761	−	0.660543i	−0.174541	−	0.0370998i	0.119812	−	0.992797i	$-0.461771\pi$
$317$	−3.10761	−	0.660543i	−0.174541	−	0.0370998i	−0.294353	+	0.955697i	$0.595104\pi$
$318$	2.51008	−	7.72523i	0.140758	−	0.433209i
$319$	−22.9774	+	4.88401i	−1.28649	+	0.273452i
$320$	0.758599	−	7.21758i	0.0424070	−	0.403475i
$321$	−23.0724	+	25.6245i	−1.28777	+	1.43022i
$322$	15.9646	−	7.10788i	0.889671	−	0.396107i
$323$	−13.3007	−	5.92186i	−0.740072	−	0.329501i
$324$	−14.3397	−	15.9259i	−0.796652	−	0.884772i
$325$	−0.131047	+	0.0952115i	−0.00726920	+	0.00528138i
$326$	10.3717	−	7.53546i	0.574434	−	0.417351i
$327$	2.19927	+	2.44254i	0.121620	+	0.135073i
$328$	−0.513890	−	0.228799i	−0.0283749	−	0.0126333i
$329$	18.8020	−	8.37119i	1.03659	−	0.461518i
$330$	8.77419	−	9.74473i	0.483003	−	0.536430i
$331$	−2.89720	+	27.5650i	−0.159245	+	1.51511i	0.564725	+	0.825279i	$0.308982\pi$
$331$	−2.89720	+	27.5650i	−0.159245	+	1.51511i	−0.723969	+	0.689832i	$0.757684\pi$
$332$	−18.4775	+	3.92751i	−1.01408	+	0.215550i
$333$	−2.75409	+	8.47623i	−0.150923	+	0.464494i
$334$	−27.2288	−	5.78766i	−1.48989	−	0.316686i
$335$	0.556088	−	0.963173i	0.0303823	−	0.0526238i
$336$	−8.93192	−	15.4705i	−0.487276	−	0.843987i
$337$	2.35454	+	7.24653i	0.128260	+	0.394744i	0.994481	−	0.104917i	$-0.0334578\pi$
$337$	2.35454	+	7.24653i	0.128260	+	0.394744i	−0.866221	+	0.499661i	$0.833458\pi$
$338$	−2.68127	−	25.5106i	−0.145842	−	1.38759i
$339$	−9.43872	−	6.85763i	−0.512641	−	0.372456i
$340$	4.52966			0.245655
$341$	−14.0441	−	10.8060i	−0.760530	−	0.585180i
$342$	16.2874			0.880723
$343$	16.2535	+	11.8088i	0.877606	+	0.637618i
$344$	−0.0221689	−	0.210923i	−0.00119527	−	0.0113722i
$345$	2.77093	+	8.52803i	0.149182	+	0.459134i
$346$	11.5754	+	20.0492i	0.622297	+	1.07785i
$347$	11.1493	−	19.3111i	0.598524	−	1.03667i	−0.394515	−	0.918889i	$-0.629087\pi$
$347$	11.1493	−	19.3111i	0.598524	−	1.03667i	0.993039	−	0.117785i	$-0.0375793\pi$
$348$	28.7222	+	6.10509i	1.53967	+	0.327267i
$349$	3.89570	−	11.9897i	0.208532	−	0.641796i	−0.791018	−	0.611793i	$-0.790449\pi$
$349$	3.89570	−	11.9897i	0.208532	−	0.641796i	0.999550	−	0.0300024i	$-0.00955150\pi$
$350$	3.97243	−	0.844365i	0.212335	−	0.0451332i
$351$	−0.0584846	+	0.556444i	−0.00312168	+	0.0297008i
$352$	16.8075	−	18.6666i	0.895842	−	0.994934i
$353$	−14.7721	+	6.57696i	−0.786240	+	0.350056i	−0.760271	−	0.649606i	$-0.774934\pi$
$353$	−14.7721	+	6.57696i	−0.786240	+	0.350056i	−0.0259689	+	0.999663i	$0.508267\pi$
$354$	−16.2933	−	7.25426i	−0.865980	−	0.385559i
$355$	5.44834	+	6.05099i	0.289168	+	0.321153i
$356$	16.7073	−	12.1385i	0.885484	−	0.643342i
$357$	8.21606	−	5.96932i	0.434840	−	0.315930i
$358$	24.0071	+	26.6626i	1.26882	+	1.40916i
$359$	6.53100	+	2.90779i	0.344693	+	0.153467i	0.571779	−	0.820407i	$-0.306253\pi$
$359$	6.53100	+	2.90779i	0.344693	+	0.153467i	−0.227086	+	0.973875i	$0.572920\pi$
$360$	0.220317	−	0.0980916i	0.0116117	−	0.00516988i
$361$	12.4833	−	13.8641i	0.657013	−	0.729687i
$362$	3.96213	−	37.6972i	0.208245	−	1.98132i
$363$	−1.77485	+	0.377257i	−0.0931556	+	0.0198008i
$364$	0.196291	−	0.604123i	0.0102885	−	0.0316646i
$365$	−4.85343	−	1.03163i	−0.254040	−	0.0539979i
$366$	−22.6932	+	39.3057i	−1.18619	+	2.05454i
$367$	6.71858	+	11.6369i	0.350707	+	0.607442i	0.986373	−	0.164522i	$-0.0526080\pi$
$367$	6.71858	+	11.6369i	0.350707	+	0.607442i	−0.635667	+	0.771964i	$0.719275\pi$
$368$	5.54952	+	17.0797i	0.289288	+	0.890338i
$369$	0.439386	+	4.18048i	0.0228735	+	0.217627i
$370$	−10.6194	−	7.71543i	−0.552076	−	0.401106i
$371$	4.04957			0.210243
$372$	10.5435	+	19.4803i	0.546655	+	1.01001i
$373$	4.38028			0.226802			0.113401	−	0.993549i	$-0.463826\pi$
$373$	4.38028			0.226802			0.113401	+	0.993549i	$0.463826\pi$
$374$	12.0786	+	8.77559i	0.624567	+	0.453775i
$375$	0.217822	+	2.07244i	0.0112483	+	0.107020i
$376$	0.556248	+	1.71196i	0.0286863	+	0.0882874i
$377$	−0.597791	−	1.03540i	−0.0307878	−	0.0533260i
$378$	7.01387	−	12.1484i	0.360754	−	0.624845i
$379$	−5.59601	−	1.18947i	−0.287448	−	0.0610989i	0.0619312	−	0.998080i	$-0.480274\pi$
$379$	−5.59601	−	1.18947i	−0.287448	−	0.0610989i	−0.349379	+	0.936982i	$0.613607\pi$
$380$	−3.62023	+	11.1419i	−0.185714	+	0.571569i
$381$	25.9571	−	5.51735i	1.32982	−	0.282663i
$382$	2.18762	−	20.8139i	0.111929	−	1.06493i
$383$	5.16853	−	5.74023i	0.264099	−	0.293312i	−0.596480	−	0.802628i	$-0.703435\pi$
$383$	5.16853	−	5.74023i	0.264099	−	0.293312i	0.860580	+	0.509315i	$0.170101\pi$
$384$	2.73314	−	1.21687i	0.139475	−	0.0620983i
$385$	5.97214	+	2.65897i	0.304368	+	0.135514i
$386$	8.26740	+	9.18187i	0.420799	+	0.467345i
$387$	−1.28215	+	0.931538i	−0.0651754	+	0.0473527i
$388$	−22.9952	+	16.7070i	−1.16741	+	0.848170i
$389$	3.51443	+	3.90317i	0.178189	+	0.197899i	0.825622	−	0.564223i	$-0.190824\pi$
$389$	3.51443	+	3.90317i	0.178189	+	0.197899i	−0.647433	+	0.762122i	$0.724158\pi$
$390$	0.609689	+	0.271451i	0.0308728	+	0.0137455i
$391$	−9.32683	+	4.15257i	−0.471678	+	0.210005i
$392$	−0.334285	+	0.371261i	−0.0168839	+	0.0187515i
$393$	−2.76094	+	26.2686i	−0.139271	+	1.32508i
$394$	29.5837	−	6.28820i	1.49040	−	0.316795i
$395$	4.64581	−	14.2983i	0.233756	−	0.719427i
$396$	−7.97858	−	1.69590i	−0.400939	−	0.0852221i
$397$	−1.92622	+	3.33632i	−0.0966744	+	0.167445i	−0.910306	−	0.413936i	$-0.864154\pi$
$397$	−1.92622	+	3.33632i	−0.0966744	+	0.167445i	0.813632	+	0.581381i	$0.197487\pi$
$398$	19.7654	+	34.2346i	0.990749	+	1.71603i
$399$	8.11665	+	24.9805i	0.406341	+	1.25059i
$400$	0.436246	+	4.15061i	0.0218123	+	0.207530i
$401$	3.87836	+	2.81779i	0.193676	+	0.140714i	0.680397	−	0.732843i	$-0.261807\pi$
$401$	3.87836	+	2.81779i	0.193676	+	0.140714i	−0.486721	+	0.873557i	$0.661807\pi$
$402$	−4.58228			−0.228543
$403$	0.302184	−	0.849755i	0.0150528	−	0.0423293i
$404$	−37.1475			−1.84816
$405$	9.08136	+	6.59799i	0.451256	+	0.327857i
$406$	3.13325	+	29.8109i	0.155500	+	1.47949i
$407$	−6.52939	−	20.0954i	−0.323650	−	0.996091i
$408$	0.444108	+	0.769218i	0.0219866	+	0.0380819i
$409$	2.28816	−	3.96320i	0.113142	−	0.195968i	−0.803893	−	0.594773i	$-0.797242\pi$
$409$	2.28816	−	3.96320i	0.113142	−	0.195968i	0.917036	+	0.398806i	$0.130575\pi$
$410$	−6.05566	−	1.28717i	−0.299068	−	0.0635689i
$411$	−1.62944	+	5.01489i	−0.0803743	+	0.247367i
$412$	22.4410	−	4.76997i	1.10559	−	0.235000i
$413$	0.929432	−	8.84295i	0.0457344	−	0.435133i
$414$	7.64226	−	8.48759i	0.375597	−	0.417143i
$415$	9.03923	−	4.02452i	0.443718	−	0.197556i
$416$	1.16790	+	0.519981i	0.0572608	+	0.0254942i
$417$	−2.16382	−	2.40317i	−0.105963	−	0.117684i
$418$	−31.2395	+	22.6968i	−1.52797	+	1.11014i
$419$	6.99486	−	5.08207i	0.341721	−	0.248275i	−0.403666	−	0.914906i	$-0.632264\pi$
$419$	6.99486	−	5.08207i	0.341721	−	0.248275i	0.745388	+	0.666631i	$0.232264\pi$
$420$	−5.46797	−	6.07279i	−0.266810	−	0.296322i
$421$	21.1250	+	9.40547i	1.02957	+	0.458394i	0.850796	−	0.525496i	$-0.176120\pi$
$421$	21.1250	+	9.40547i	1.02957	+	0.458394i	0.178774	+	0.983890i	$0.442787\pi$
$422$	−21.6763	+	9.65089i	−1.05518	+	0.469798i
$423$	9.00055	−	9.99612i	0.437621	−	0.486028i
$424$	−0.0370216	+	0.352237i	−0.00179793	+	0.0171062i
$425$	−2.32077	+	0.493295i	−0.112574	+	0.0239283i
$426$	10.3668	−	31.9056i	0.502271	−	1.54583i
$427$	−22.1326	−	4.70443i	−1.07107	−	0.227664i
$428$	−15.7951	+	27.3579i	−0.763483	+	1.32239i
$429$	0.537151	+	0.930373i	0.0259339	+	0.0449188i
$430$	−0.721289	−	2.21990i	−0.0347837	−	0.107053i
$431$	−3.01208	−	28.6580i	−0.145087	−	1.38041i	−0.788569	−	0.614946i	$-0.789178\pi$
$431$	−3.01208	−	28.6580i	−0.145087	−	1.38041i	0.643483	−	0.765461i	$-0.277489\pi$
$432$	11.6625	+	8.47329i	0.561111	+	0.407671i
$433$	−14.3650			−0.690337			−0.345168	−	0.938541i	$-0.612178\pi$
$433$	−14.3650			−0.690337			−0.345168	+	0.938541i	$0.612178\pi$
$434$	−15.5866	+	16.3812i	−0.748180	+	0.786325i
$435$	−15.3807			−0.737447
$436$	2.43611	+	1.76994i	0.116668	+	0.0847645i
$437$	−2.76011	−	26.2607i	−0.132034	−	1.25622i
$438$	6.31734	+	19.4428i	0.301854	+	0.929012i
$439$	−11.3240	−	19.6137i	−0.540465	−	0.936113i	−0.998877	−	0.0473731i	$-0.984915\pi$
$439$	−11.3240	−	19.6137i	−0.540465	−	0.936113i	0.458412	−	0.888740i	$-0.348418\pi$
$440$	−0.285879	+	0.495157i	−0.0136287	+	0.0236057i
$441$	3.65159	+	0.776169i	0.173885	+	0.0369604i
$442$	−0.234813	+	0.722680i	−0.0111689	+	0.0343744i
$443$	−19.7226	+	4.19216i	−0.937048	+	0.199176i	−0.651033	−	0.759049i	$-0.725664\pi$
$443$	−19.7226	+	4.19216i	−0.937048	+	0.199176i	−0.286015	+	0.958225i	$0.592331\pi$
$444$	−2.76083	+	26.2676i	−0.131023	+	1.24660i
$445$	−7.23805	+	8.03867i	−0.343117	+	0.381069i
$446$	−40.4079	+	17.9908i	−1.91337	+	0.851888i
$447$	40.5412	+	18.0501i	1.91753	+	0.853741i
$448$	−9.97469	−	11.0780i	−0.471260	−	0.523387i
$449$	−5.03319	+	3.65683i	−0.237531	+	0.172576i	−0.700183	−	0.713964i	$-0.746898\pi$
$449$	−5.03319	+	3.65683i	−0.237531	+	0.172576i	0.462652	+	0.886540i	$0.346898\pi$
$450$	2.14730	−	1.56011i	0.101225	−	0.0735441i
$451$	−6.66832	−	7.40592i	−0.313999	−	0.348731i
$452$	−9.76464	−	4.34750i	−0.459290	−	0.204489i
$453$	31.6302	−	14.0827i	1.48612	−	0.661661i
$454$	19.0660	−	21.1749i	0.894812	−	0.993789i
$455$	−0.0347789	+	0.330899i	−0.00163046	+	0.0155128i
$456$	−2.24704	+	0.477624i	−0.105227	+	0.0223668i
$457$	−5.11132	+	15.7310i	−0.239097	+	0.735866i	0.757454	+	0.652888i	$0.226443\pi$
$457$	−5.11132	+	15.7310i	−0.239097	+	0.735866i	−0.996551	+	0.0829773i	$0.973557\pi$
$458$	27.9939	+	5.95030i	1.30807	+	0.278039i
$459$	−4.09764	+	7.09733i	−0.191262	+	0.331275i
$460$	4.10755	+	7.11449i	0.191516	+	0.331715i
$461$	4.39790	+	13.5354i	0.204831	+	0.630404i	0.999720	+	0.0236500i	$0.00752874\pi$
$461$	4.39790	+	13.5354i	0.204831	+	0.630404i	−0.794890	+	0.606754i	$0.792471\pi$
$462$	−2.81541	−	26.7868i	−0.130985	−	1.24624i
$463$	−19.5581	−	14.2098i	−0.908944	−	0.660387i	0.0318035	−	0.999494i	$-0.489875\pi$
$463$	−19.5581	−	14.2098i	−0.908944	−	0.660387i	−0.940748	+	0.339108i	$0.889875\pi$
$464$	−30.8039			−1.43004
$465$	−7.52344	−	8.83253i	−0.348891	−	0.409599i
$466$	−28.2955			−1.31077
$467$	−10.4713	−	7.60783i	−0.484553	−	0.352048i	0.318533	−	0.947912i	$-0.396810\pi$
$467$	−10.4713	−	7.60783i	−0.484553	−	0.352048i	−0.803086	+	0.595863i	$0.796810\pi$
$468$	−0.0433948	−	0.412874i	−0.00200593	−	0.0190851i
$469$	−0.705939	−	2.17266i	−0.0325972	−	0.100324i
$470$	9.90543	+	17.1567i	0.456903	+	0.791380i
$471$	14.0191	−	24.2818i	0.645967	−	1.11885i
$472$	0.760676	+	0.161687i	0.0350130	+	0.00744224i
$473$	1.16107	−	3.57340i	0.0533860	−	0.164305i
$474$	−60.5886	+	12.8785i	−2.78293	+	0.591529i
$475$	0.641433	−	6.10283i	0.0294310	−	0.280017i
$476$	6.22569	−	6.91433i	0.285354	−	0.316918i
$477$	2.41781	−	1.07648i	0.110704	−	0.0492886i
$478$	−10.3723	−	4.61805i	−0.474418	−	0.211225i
$479$	12.4806	+	13.8611i	0.570252	+	0.633329i	0.957426	−	0.288678i	$-0.0932156\pi$
$479$	12.4806	+	13.8611i	0.570252	+	0.633329i	−0.387175	+	0.922006i	$0.626549\pi$
$480$	13.3054	−	9.66694i	0.607305	−	0.441233i
$481$	0.870021	−	0.632107i	0.0396695	−	0.0288216i
$482$	37.8309	+	42.0154i	1.72315	+	1.91375i
$483$	16.8261	+	7.49146i	0.765614	+	0.340873i
$484$	−1.51865	+	0.676148i	−0.0690297	+	0.0307340i
$485$	9.96216	−	11.0641i	0.452358	−	0.502395i
$486$	2.69275	−	25.6198i	0.122145	−	1.16214i
$487$	−33.8259	+	7.18991i	−1.53280	+	0.325806i	−0.895588	−	0.444885i	$-0.853245\pi$
$487$	−33.8259	+	7.18991i	−1.53280	+	0.325806i	−0.637209	+	0.770691i	$0.719911\pi$
$488$	0.611538	−	1.88212i	0.0276830	−	0.0851996i
$489$	13.2167	+	2.80929i	0.597678	+	0.127040i
$490$	−2.74911	+	4.76161i	−0.124192	+	0.215107i
$491$	12.5790	+	21.7875i	0.567684	+	0.983257i	0.996794	+	0.0800051i	$0.0254937\pi$
$491$	12.5790	+	21.7875i	0.567684	+	0.983257i	−0.429111	+	0.903252i	$0.641173\pi$
$492$	3.84949	+	11.8475i	0.173549	+	0.534127i
$493$	−1.83051	−	17.4161i	−0.0824419	−	0.784382i
$494$	−1.58996	−	1.15517i	−0.0715356	−	0.0519736i
$495$	4.27252			0.192035
$496$	−15.0677	−	17.6895i	−0.676559	−	0.794281i
$497$	16.7249			0.750215
$498$	−32.9812	−	23.9622i	−1.47792	−	1.07377i
$499$	−3.81569	−	36.3038i	−0.170814	−	1.62518i	−0.658791	−	0.752326i	$-0.728932\pi$
$499$	−3.81569	−	36.3038i	−0.170814	−	1.62518i	0.487977	−	0.872856i	$-0.337735\pi$
$500$	0.589956	+	1.81570i	0.0263836	+	0.0812005i
$501$	−14.6697	−	25.4086i	−0.655392	−	1.13517i
$502$	−10.3680	+	17.9580i	−0.462748	+	0.801503i
$503$	−33.0704	−	7.02932i	−1.47453	−	0.313422i	−0.600633	−	0.799525i	$-0.705085\pi$
$503$	−33.0704	−	7.02932i	−1.47453	−	0.313422i	−0.873901	+	0.486103i	$0.838418\pi$
$504$	0.153078	−	0.471125i	0.00681862	−	0.0209856i
$505$	19.0325	−	4.04549i	0.846937	−	0.180022i
$506$	−2.83035	+	26.9289i	−0.125824	+	1.19714i
$507$	18.0902	−	20.0912i	0.803415	−	0.892282i
$508$	22.2102	−	9.88862i	0.985418	−	0.438736i
$509$	11.8200	+	5.26260i	0.523912	+	0.233261i	0.651612	−	0.758552i	$-0.274093\pi$
$509$	11.8200	+	5.26260i	0.523912	+	0.233261i	−0.127701	+	0.991813i	$0.540760\pi$
$510$	6.54104	+	7.26456i	0.289642	+	0.321680i
$511$	−8.24543	+	5.99066i	−0.364756	+	0.265011i
$512$	25.4345	−	18.4792i	1.12405	−	0.816674i
$513$	−14.1829	−	15.7517i	−0.626188	−	0.695453i
$514$	−34.1686	−	15.2128i	−1.50711	−	0.671010i
$515$	−10.9782	+	4.88780i	−0.483756	+	0.215382i
$516$	−3.14269	+	3.49031i	−0.138349	+	0.153652i
$517$	−3.33339	+	31.7151i	−0.146602	+	1.39483i
$518$	−26.3728	+	5.60572i	−1.15876	+	0.246301i
$519$	−7.54006	+	23.2059i	−0.330972	+	1.01863i
$520$	−0.0284642	−	0.00605025i	−0.00124824	−	0.000265321i
$521$	−0.0376389	+	0.0651925i	−0.00164899	+	0.00285613i	−0.866849	−	0.498571i	$-0.833858\pi$
$521$	−0.0376389	+	0.0651925i	−0.00164899	+	0.00285613i	0.865200	+	0.501427i	$0.167192\pi$
$522$	9.79522	+	16.9658i	0.428725	+	0.742574i
$523$	7.50548	+	23.0995i	0.328192	+	1.01007i	0.969979	+	0.243188i	$0.0781932\pi$
$523$	7.50548	+	23.0995i	0.328192	+	1.01007i	−0.641787	+	0.766883i	$0.721807\pi$
$524$	2.52946	+	24.0662i	0.110500	+	1.05134i
$525$	3.46286	+	2.51592i	0.151132	+	0.109804i
$526$	−3.10876			−0.135548
$527$	9.10600	−	9.57026i	0.396664	−	0.416887i
$528$	27.6792			1.20458
$529$	3.62749	+	2.63553i	0.157717	+	0.114588i
$530$	0.407448	+	3.87661i	0.0176984	+	0.168389i
$531$	−1.79577	−	5.52680i	−0.0779296	−	0.239843i
$532$	12.0319	+	20.8399i	0.521650	+	0.903524i
$533$	0.253605	−	0.439257i	0.0109848	−	0.0190263i
$534$	43.5936	+	9.26610i	1.88648	+	0.400983i
$535$	5.11324	−	15.7369i	0.221065	−	0.680368i
$536$	0.195435	−	0.0415409i	0.00844149	−	0.00179429i
$537$	−3.95267	+	37.6072i	−0.170570	+	1.62287i
$538$	−2.44571	+	2.71624i	−0.105442	+	0.117105i
$539$	−8.08539	+	3.59985i	−0.348263	+	0.155056i
$540$	6.02426	+	2.68217i	0.259243	+	0.115422i
$541$	4.69091	+	5.20979i	0.201678	+	0.223986i	0.835497	−	0.549496i	$-0.185180\pi$
$541$	4.69091	+	5.20979i	0.201678	+	0.223986i	−0.633819	+	0.773482i	$0.718513\pi$
$542$	3.65805	−	2.65773i	0.157127	−	0.114159i
$543$	32.3205	−	23.4822i	1.38701	−	1.00772i
$544$	12.5297	+	13.9157i	0.537208	+	0.596630i
$545$	−1.44089	−	0.641527i	−0.0617211	−	0.0274800i
$546$	1.25233	−	0.557574i	0.0535948	−	0.0238620i
$547$	−16.6472	+	18.4886i	−0.711785	+	0.790517i	−0.985205	−	0.171377i	$-0.945178\pi$
$547$	−16.6472	+	18.4886i	−0.711785	+	0.790517i	0.273420	+	0.961895i	$0.411845\pi$
$548$	−0.504964	+	4.80441i	−0.0215710	+	0.205234i
$549$	−14.4650	+	3.07462i	−0.617349	+	0.131222i
$550$	−1.94452	+	5.98461i	−0.0829145	+	0.255184i
$551$	44.3027	+	9.41682i	1.88736	+	0.401170i
$552$	−0.805445	+	1.39507i	−0.0342820	+	0.0593782i
$553$	−15.4404	−	26.7436i	−0.656594	−	1.13726i
$554$	7.55531	+	23.2528i	0.320994	+	0.987919i
$555$	−1.44611	−	13.7589i	−0.0613841	−	0.584031i
$556$	−2.39684	−	1.74141i	−0.101649	−	0.0738521i
$557$	3.54044			0.150013			0.0750066	−	0.997183i	$-0.476102\pi$
$557$	3.54044			0.150013			0.0750066	+	0.997183i	$0.476102\pi$
$558$	−4.95149	+	13.9238i	−0.209613	+	0.589442i
$559$	0.191231			0.00808819
$560$	6.93531	+	5.03880i	0.293070	+	0.212928i
$561$	1.64482	+	15.6494i	0.0694444	+	0.660719i
$562$	−7.59594	−	23.3779i	−0.320415	−	0.986137i
$563$	−0.524567	−	0.908577i	−0.0221079	−	0.0382920i	0.854760	−	0.519024i	$-0.173704\pi$
$563$	−0.524567	−	0.908577i	−0.0221079	−	0.0382920i	−0.876868	+	0.480732i	$0.840371\pi$
$564$	19.9314	−	34.5221i	0.839262	−	1.45364i
$565$	5.47637	+	1.16404i	0.230393	+	0.0489715i
$566$	19.3649	−	59.5991i	0.813969	−	2.50514i
$567$	22.5532	−	4.79383i	0.947146	−	0.201322i
$568$	−0.152901	+	1.45476i	−0.00641560	+	0.0610403i
$569$	17.0941	−	18.9850i	0.716623	−	0.795891i	−0.269306	−	0.963055i	$-0.586794\pi$
$569$	17.0941	−	18.9850i	0.716623	−	0.795891i	0.985929	+	0.167164i	$0.0534609\pi$
$570$	−23.0969	+	10.2834i	−0.967424	+	0.430725i
$571$	19.8071	+	8.81869i	0.828902	+	0.369051i	0.776922	−	0.629597i	$-0.216780\pi$
$571$	19.8071	+	8.81869i	0.828902	+	0.369051i	0.0519800	+	0.998648i	$0.483447\pi$
$572$	0.658579	+	0.731426i	0.0275366	+	0.0305824i
$573$	17.8452	−	12.9653i	0.745495	−	0.541634i
$574$	−10.2879	+	7.47458i	−0.429408	+	0.311983i
$575$	−2.87930	−	3.19778i	−0.120075	−	0.133357i
$576$	−8.90026	−	3.96265i	−0.370844	−	0.165110i
$577$	7.28451	−	3.24327i	0.303258	−	0.135019i	−0.249466	−	0.968384i	$-0.580255\pi$
$577$	7.28451	−	3.24327i	0.303258	−	0.135019i	0.552724	+	0.833364i	$0.313588\pi$
$578$	15.0431	−	16.7071i	0.625711	−	0.694922i
$579$	−1.36119	+	12.9509i	−0.0565691	+	0.538219i
$580$	−13.7832	+	2.92971i	−0.572317	+	0.121650i
$581$	6.28050	−	19.3294i	0.260559	−	0.801919i
$582$	−60.0005	−	12.7535i	−2.48710	−	0.528649i
$583$	−3.13730	+	5.43397i	−0.129934	+	0.225052i
$584$	−0.445695	−	0.771967i	−0.0184430	−	0.0319442i
$585$	0.0671967	+	0.206810i	0.00277824	+	0.00855055i
$586$	−0.539101	−	5.12921i	−0.0222701	−	0.211886i
$587$	−32.1123	−	23.3309i	−1.32542	−	0.962970i	−0.999848	−	0.0174515i	$-0.994445\pi$
$587$	−32.1123	−	23.3309i	−1.32542	−	0.962970i	−0.325567	−	0.945519i	$-0.605555\pi$
$588$	11.0633			0.456245
$589$	16.2629	+	30.0475i	0.670100	+	1.23809i
$590$	8.55880			0.352360
$591$	25.7888	+	18.7367i	1.06081	+	0.770724i
$592$	−2.89623	−	27.5558i	−0.119034	−	1.13254i
$593$	−12.5876	−	38.7408i	−0.516912	−	1.59089i	−0.779775	−	0.626059i	$-0.784667\pi$
$593$	−12.5876	−	38.7408i	−0.516912	−	1.59089i	0.262863	−	0.964833i	$-0.415333\pi$
$594$	10.8676	+	18.8233i	0.445905	+	0.772330i
$595$	−2.43674	+	4.22056i	−0.0998966	+	0.173026i
$596$	39.7687	+	8.45310i	1.62899	+	0.346253i
$597$	−12.8749	+	39.6249i	−0.526935	+	1.62174i
$598$	−1.34800	+	0.286527i	−0.0551240	+	0.0117170i
$599$	−2.61946	+	24.9225i	−0.107028	+	1.01830i	0.800792	+	0.598943i	$0.204412\pi$
$599$	−2.61946	+	24.9225i	−0.107028	+	1.01830i	−0.907820	+	0.419361i	$0.862254\pi$
$600$	−0.250496	+	0.278204i	−0.0102265	+	0.0113576i
$601$	17.3144	−	7.70886i	0.706268	−	0.314451i	−0.0219857	−	0.999758i	$-0.506999\pi$
$601$	17.3144	−	7.70886i	0.706268	−	0.314451i	0.728254	+	0.685307i	$0.240332\pi$
$602$	−4.37994	−	1.95008i	−0.178513	−	0.0794791i
$603$	−0.999033	−	1.10954i	−0.0406838	−	0.0451839i
$604$	25.6625	−	18.6449i	1.04419	−	0.758651i
$605$	0.704448	−	0.511811i	0.0286399	−	0.0208081i
$606$	−53.6427	−	59.5762i	−2.17909	−	2.42012i
$607$	−6.64647	−	2.95920i	−0.269772	−	0.120110i	0.267393	−	0.963588i	$-0.413838\pi$
$607$	−6.64647	−	2.95920i	−0.269772	−	0.120110i	−0.537164	+	0.843478i	$0.680505\pi$
$608$	−44.2436	+	19.6985i	−1.79431	+	0.798880i
$609$	−21.1396	+	23.4779i	−0.856621	+	0.951374i
$610$	2.27663	−	21.6607i	0.0921781	−	0.877016i
$611$	−1.58759	+	0.337452i	−0.0642270	+	0.0136519i
$612$	1.87907	−	5.78318i	0.0759569	−	0.233771i
$613$	3.74239	+	0.795470i	0.151154	+	0.0321287i	0.282867	−	0.959159i	$-0.408714\pi$
$613$	3.74239	+	0.795470i	0.151154	+	0.0321287i	−0.131713	+	0.991288i	$0.542048\pi$
$614$	21.9022	−	37.9357i	0.883901	−	1.53096i
$615$	−3.26252	−	5.65086i	−0.131558	−	0.227865i
$616$	0.362915	+	1.11694i	0.0146223	+	0.0450028i
$617$	4.97670	+	47.3502i	0.200355	+	1.90625i	0.384131	+	0.923278i	$0.374501\pi$
$617$	4.97670	+	47.3502i	0.200355	+	1.90625i	−0.183777	+	0.982968i	$0.558832\pi$
$618$	40.0558	+	29.1022i	1.61128	+	1.17066i
$619$	−17.6311			−0.708654			−0.354327	−	0.935121i	$-0.615290\pi$
$619$	−17.6311			−0.708654			−0.354327	+	0.935121i	$0.615290\pi$
$620$	−8.42446	−	6.48209i	−0.338334	−	0.260327i
$621$	−14.8632			−0.596439
$622$	−39.7401	−	28.8729i	−1.59343	−	1.15770i
$623$	2.32250	+	22.0971i	0.0930491	+	0.885303i
$624$	0.435329	+	1.33980i	0.0174271	+	0.0536351i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−3.79042	+	6.56520i	−0.151496	+	0.262398i
$627$	−39.8086	−	8.46158i	−1.58980	−	0.337923i
$628$	7.93786	−	24.4302i	0.316755	−	0.974872i
$629$	15.4076	−	3.27498i	0.614340	−	0.130582i
$630$	0.569877	−	5.42202i	0.0227044	−	0.216018i
$631$	8.26532	−	9.17957i	0.329037	−	0.365433i	−0.555814	−	0.831307i	$-0.687593\pi$
$631$	8.26532	−	9.17957i	0.329037	−	0.365433i	0.884851	+	0.465874i	$0.154260\pi$
$632$	2.46736	−	1.09854i	0.0981463	−	0.0436975i
$633$	−22.8460	−	10.1717i	−0.908048	−	0.404289i
$634$	−4.20314	−	4.66806i	−0.166928	−	0.185392i
$635$	−10.3025	+	7.48520i	−0.408842	+	0.297041i
$636$	6.34541	−	4.61021i	0.251612	−	0.182807i
$637$	−0.301414	−	0.334755i	−0.0119425	−	0.0132635i
$638$	−42.4295	−	18.8908i	−1.67980	−	0.747895i
$639$	9.98570	−	4.44592i	0.395028	−	0.175878i
$640$	−0.960674	+	1.06694i	−0.0379740	+	0.0421744i
$641$	−4.27223	+	40.6475i	−0.168743	+	1.60548i	0.502724	+	0.864447i	$0.332331\pi$
$641$	−4.27223	+	40.6475i	−0.168743	+	1.60548i	−0.671467	+	0.741035i	$0.734335\pi$
$642$	−66.6847	+	14.1743i	−2.63183	+	0.559414i
$643$	7.91775	−	24.3683i	0.312246	−	0.960994i	−0.664628	−	0.747175i	$-0.731410\pi$
$643$	7.91775	−	24.3683i	0.312246	−	0.960994i	0.976873	−	0.213819i	$-0.0685902\pi$
$644$	16.5055	+	3.50835i	0.650407	+	0.138248i
$645$	1.23005	−	2.13051i	0.0484333	−	0.0838889i
$646$	−14.3931	−	24.9296i	−0.566290	−	0.980844i
$647$	8.50037	+	26.1615i	0.334184	+	1.02851i	0.967123	+	0.254311i	$0.0818486\pi$
$647$	8.50037	+	26.1615i	0.334184	+	1.02851i	−0.632939	+	0.774202i	$0.718151\pi$
$648$	0.210791	+	2.00554i	0.00828064	+	0.0787850i
$649$	11.1460	+	8.09803i	0.437518	+	0.317876i
$650$	−0.320266			−0.0125619
$651$	−23.8229	−	0.655462i	−0.933693	−	0.0256896i
$652$	12.3791			0.484802
$653$	31.5811	+	22.9450i	1.23586	+	0.897908i	0.997316	−	0.0732229i	$-0.0233284\pi$
$653$	31.5811	+	22.9450i	1.23586	+	0.897908i	0.238548	+	0.971131i	$0.423328\pi$
$654$	0.679272	+	6.46284i	0.0265616	+	0.252717i
$655$	−3.91686	−	12.0549i	−0.153044	−	0.471022i
$656$	−6.53407	−	11.3173i	−0.255113	−	0.441868i
$657$	−3.33050	+	5.76860i	−0.129935	+	0.225055i
$658$	39.8033	+	8.46044i	1.55169	+	0.329822i
$659$	0.165021	−	0.507882i	0.00642830	−	0.0197843i	−0.947791	−	0.318892i	$-0.896689\pi$
$659$	0.165021	−	0.507882i	0.00642830	−	0.0197843i	0.954219	+	0.299108i	$0.0966891\pi$
$660$	12.3850	−	2.63252i	0.482087	−	0.102471i
$661$	1.47362	−	14.0205i	0.0573170	−	0.545335i	−0.927755	−	0.373191i	$-0.878264\pi$
$661$	1.47362	−	14.0205i	0.0573170	−	0.545335i	0.985072	−	0.172144i	$-0.0550696\pi$
$662$	−36.6687	+	40.7247i	−1.42517	+	1.58281i
$663$	−0.731638	+	0.325746i	−0.0284145	+	0.0126509i
$664$	1.62388	+	0.722999i	0.0630189	+	0.0280578i
$665$	−8.43410	−	9.36701i	−0.327060	−	0.363237i
$666$	−14.2559	+	10.3575i	−0.552405	+	0.401345i
$667$	25.6946	−	18.6682i	0.994899	−	0.722836i
$668$	−17.9859	−	19.9753i	−0.695894	−	0.772869i
$669$	−42.5886	−	18.9617i	−1.64657	−	0.733100i
$670$	2.00884	−	0.894391i	0.0776081	−	0.0345533i
$671$	23.4594	−	26.0543i	0.905641	−	1.00582i
$672$	3.53115	−	33.5966i	0.136217	−	1.29602i
$673$	0.0543531	−	0.0115531i	0.00209516	−	0.000445339i	−0.206864	−	0.978370i	$-0.566326\pi$
$673$	0.0543531	−	0.0115531i	0.00209516	−	0.000445339i	0.208959	+	0.977924i	$0.432992\pi$
$674$	−4.65529	+	14.3275i	−0.179315	+	0.551875i
$675$	−3.37863	−	0.718150i	−0.130043	−	0.0276416i
$676$	12.3843	−	21.4503i	0.476321	−	0.825012i
$677$	8.56181	+	14.8295i	0.329057	+	0.569944i	0.982325	−	0.187183i	$-0.0599358\pi$
$677$	8.56181	+	14.8295i	0.329057	+	0.569944i	−0.653268	+	0.757127i	$0.726602\pi$
$678$	−7.12818	−	21.9383i	−0.273756	−	0.842534i
$679$	−3.19660	−	30.4136i	−0.122674	−	1.16717i
$680$	−0.344833	−	0.250536i	−0.0132238	−	0.00960762i
$681$	30.0314			1.15080
$682$	−9.90607	−	33.6060i	−0.379323	−	1.28684i
$683$	18.8458			0.721113			0.360557	−	0.932737i	$-0.382587\pi$
$683$	18.8458			0.721113			0.360557	+	0.932737i	$0.382587\pi$
$684$	12.7235	+	9.24417i	0.486495	+	0.353460i
$685$	−0.264498	−	2.51653i	−0.0101060	−	0.0961518i
$686$	12.2747	+	37.7777i	0.468651	+	1.44236i
$687$	15.0819	+	26.1226i	0.575410	+	0.996640i
$688$	2.46351	−	4.26692i	0.0939203	−	0.162675i
$689$	−0.312372	−	0.0663968i	−0.0119004	−	0.00252952i
$690$	−5.47855	+	16.8612i	−0.208565	+	0.641896i
$691$	0.444755	−	0.0945355i	0.0169193	−	0.00359630i	−0.199444	−	0.979909i	$-0.563914\pi$
$691$	0.444755	−	0.0945355i	0.0169193	−	0.00359630i	0.216364	+	0.976313i	$0.430580\pi$
$692$	−2.33667	+	22.2319i	−0.0888269	+	0.845131i
$693$	5.87227	−	6.52181i	0.223069	−	0.247743i
$694$	40.2761	−	17.9321i	1.52886	−	0.680692i
$695$	1.41767	+	0.631186i	0.0537752	+	0.0239423i
$696$	−1.84889	−	2.05340i	−0.0700818	−	0.0778337i
$697$	6.01039	−	4.36680i	0.227660	−	0.165405i
$698$	20.1651	−	14.6508i	0.763262	−	0.554542i
$699$	−19.9552	−	22.1625i	−0.754774	−	0.838261i
$700$	3.58244	+	1.59500i	0.135403	+	0.0602854i
$701$	10.0980	−	4.49590i	0.381394	−	0.169808i	−0.207079	−	0.978324i	$-0.566396\pi$
$701$	10.0980	−	4.49590i	0.381394	−	0.169808i	0.588474	+	0.808516i	$0.299729\pi$
$702$	−0.740215	+	0.822093i	−0.0279376	+	0.0310279i
$703$	−4.25846	+	40.5165i	−0.160611	+	1.52811i
$704$	22.5928	−	4.80225i	0.851499	−	0.180992i
$705$	−6.45226	+	19.8580i	−0.243006	+	0.747897i
$706$	−31.2721	−	6.64709i	−1.17694	−	0.250167i
$707$	19.9836	−	34.6126i	0.751560	−	1.30174i
$708$	−8.61086	−	14.9144i	−0.323616	−	0.560519i
$709$	−2.82354	−	8.68997i	−0.106040	−	0.326359i	0.883933	−	0.467614i	$-0.154886\pi$
$709$	−2.82354	−	8.68997i	−0.106040	−	0.326359i	−0.989973	+	0.141255i	$0.954886\pi$
$710$	1.68278	+	16.0106i	0.0631537	+	0.600868i
$711$	−16.3279	−	11.8629i	−0.612346	−	0.444895i
$712$	−1.94327			−0.0728273
$713$	23.2889	+	5.62387i	0.872177	+	0.210616i
$714$	20.0792			0.751445
$715$	−0.417078	−	0.303025i	−0.0155978	−	0.0113325i
$716$	3.62127	+	34.4541i	0.135333	+	1.28761i
$717$	−3.69789	−	11.3809i	−0.138100	−	0.425029i
$718$	7.06741	+	12.2411i	0.263753	+	0.456834i
$719$	8.37481	−	14.5056i	0.312328	−	0.540968i	−0.666538	−	0.745471i	$-0.732225\pi$
$719$	8.37481	−	14.5056i	0.312328	−	0.540968i	0.978866	+	0.204503i	$0.0655579\pi$
$720$	5.48020	+	1.16485i	0.204235	+	0.0434115i
$721$	−7.62769	+	23.4756i	−0.284070	+	0.874278i
$722$	36.0796	−	7.66896i	1.34274	−	0.285409i
$723$	−6.22868	+	59.2620i	−0.231647	+	2.20398i
$724$	24.4908	−	27.1997i	0.910192	−	1.01087i
$725$	6.74278	−	3.00208i	0.250420	−	0.111494i
$726$	−3.27739	−	1.45919i	−0.121636	−	0.0541556i
$727$	−0.304351	−	0.338016i	−0.0112878	−	0.0125363i	0.737475	−	0.675375i	$-0.236018\pi$
$727$	−0.304351	−	0.338016i	−0.0112878	−	0.0125363i	−0.748762	+	0.662839i	$0.769352\pi$
$728$	−0.0483574	+	0.0351337i	−0.00179224	+	0.00130214i
$729$	−5.27837	+	3.83496i	−0.195495	+	0.142036i
$730$	−6.56442	−	7.29052i	−0.242960	−	0.269834i
$731$	2.55885	+	1.13927i	0.0946425	+	0.0421376i
$732$	−40.0361	+	17.8252i	−1.47978	+	0.658839i
$733$	−29.2322	+	32.4657i	−1.07972	+	1.19915i	−0.100796	+	0.994907i	$0.532139\pi$
$733$	−29.2322	+	32.4657i	−1.07972	+	1.19915i	−0.978921	+	0.204240i	$0.934528\pi$
$734$	−2.77704	+	26.4218i	−0.102502	+	0.975246i
$735$	−5.66831	+	1.20484i	−0.209079	+	0.0444411i
$736$	−10.4945	+	32.2987i	−0.386832	+	1.19055i
$737$	3.46232	+	0.735938i	0.127536	+	0.0271086i
$738$	−4.15549	+	7.19752i	−0.152966	+	0.264945i
$739$	−16.6628	−	28.8607i	−0.612949	−	1.06166i	−0.990741	−	0.135769i	$-0.956650\pi$
$739$	−16.6628	−	28.8607i	−0.612949	−	1.06166i	0.377791	−	0.925891i	$-0.376684\pi$
$740$	−3.91671	−	12.0544i	−0.143981	−	0.443128i
$741$	−0.216515	−	2.06001i	−0.00795389	−	0.0756763i
$742$	6.47749	+	4.70617i	0.237796	+	0.172769i
$743$	−8.80160			−0.322899			−0.161450	−	0.986881i	$-0.551617\pi$
$743$	−8.80160			−0.322899			−0.161450	+	0.986881i	$0.551617\pi$
$744$	0.274805	−	2.06616i	0.0100748	−	0.0757490i
$745$	−21.2961			−0.780228
$746$	7.00648	+	5.09050i	0.256525	+	0.186377i
$747$	−1.38845	−	13.2102i	−0.0508008	−	0.483337i
$748$	4.45489	+	13.7107i	0.162887	+	0.501314i
$749$	−16.9940	−	29.4344i	−0.620947	−	1.07551i
$750$	−2.06005	+	3.56811i	−0.0752223	+	0.130289i
$751$	35.5271	+	7.55151i	1.29640	+	0.275559i	0.803906	−	0.594756i	$-0.202751\pi$
$751$	35.5271	+	7.55151i	1.29640	+	0.275559i	0.492495	+	0.870315i	$0.336085\pi$
$752$	−12.9224	+	39.7710i	−0.471231	+	1.45030i
$753$	−21.3775	+	4.54393i	−0.779040	+	0.165590i
$754$	0.247090	−	2.35090i	0.00899847	−	0.0856147i
$755$	−11.1177	+	12.3475i	−0.404615	+	0.449371i
$756$	12.3741	−	5.50931i	0.450042	−	0.200372i
$757$	−10.3405	−	4.60391i	−0.375834	−	0.167332i	0.210122	−	0.977675i	$-0.432614\pi$
$757$	−10.3405	−	4.60391i	−0.375834	−	0.167332i	−0.585955	+	0.810343i	$0.699281\pi$
$758$	−7.56877	−	8.40597i	−0.274910	−	0.305319i
$759$	−23.0881	+	16.7745i	−0.838046	+	0.608876i
$760$	0.891862	−	0.647976i	0.0323512	−	0.0235046i
$761$	−13.7089	−	15.2252i	−0.496946	−	0.551915i	0.441536	−	0.897244i	$-0.354434\pi$
$761$	−13.7089	−	15.2252i	−0.496946	−	0.551915i	−0.938482	+	0.345329i	$0.887767\pi$
$762$	47.9317	+	21.3406i	1.73638	+	0.773087i
$763$	−2.95966	+	1.31773i	−0.107147	+	0.0477049i
$764$	13.5222	−	15.0179i	0.489214	−	0.543327i
$765$	−0.332934	+	3.16765i	−0.0120372	+	0.114527i
$766$	14.9383	−	3.17523i	0.539742	−	0.114726i
$767$	−0.216683	+	0.666882i	−0.00782398	+	0.0240797i
$768$	35.3715	+	7.51844i	1.27636	+	0.271298i
$769$	−0.485384	+	0.840710i	−0.0175034	+	0.0303168i	−0.874644	−	0.484765i	$-0.838905\pi$
$769$	−0.485384	+	0.840710i	−0.0175034	+	0.0303168i	0.857141	+	0.515082i	$0.172238\pi$
$770$	6.46264	+	11.1936i	0.232897	+	0.403390i
$771$	−12.1816	−	37.4912i	−0.438711	−	1.35021i
$772$	1.24707	+	11.8650i	0.0448829	+	0.427032i
$773$	32.7790	+	23.8153i	1.17898	+	0.856577i	0.992056	−	0.125797i	$-0.0401489\pi$
$773$	32.7790	+	23.8153i	1.17898	+	0.856577i	0.186922	+	0.982375i	$0.440149\pi$
$774$	−3.13345			−0.112629
$775$	5.02220	+	2.40365i	0.180403	+	0.0863417i
$776$	2.67465			0.0960142
$777$	−22.9899	−	16.7031i	−0.824757	−	0.599221i
$778$	1.08547	+	10.3276i	0.0389161	+	0.370262i
$779$	5.93767	+	18.2743i	0.212739	+	0.654744i
$780$	0.322214	+	0.558092i	0.0115371	+	0.0199829i
$781$	−12.9572	+	22.4426i	−0.463646	+	0.803058i
$782$	−19.7446	−	4.19685i	−0.706066	−	0.150079i
$783$	7.87820	−	24.2466i	0.281544	−	0.866503i
$784$	−11.3523	+	2.41301i	−0.405439	+	0.0861788i
$785$	−1.40643	+	13.3813i	−0.0501977	+	0.477599i
$786$	−34.9441	+	38.8094i	−1.24642	+	1.38429i
$787$	14.6883	−	6.53965i	0.523581	−	0.233113i	−0.127888	−	0.991789i	$-0.540820\pi$
$787$	14.6883	−	6.53965i	0.523581	−	0.233113i	0.651469	+	0.758675i	$0.274153\pi$
$788$	26.6793	+	11.8784i	0.950411	+	0.423150i
$789$	−2.19242	−	2.43493i	−0.0780523	−	0.0866859i
$790$	24.0479	−	17.4718i	0.855586	−	0.621619i
$791$	9.30373	−	6.75956i	0.330803	−	0.240342i
$792$	0.513592	+	0.570402i	0.0182497	+	0.0202683i
$793$	1.63012	+	0.725774i	0.0578871	+	0.0257730i
$794$	−6.95837	+	3.09806i	−0.246943	+	0.109946i
$795$	−2.74900	+	3.05308i	−0.0974971	+	0.108282i
$796$	−3.98994	+	37.9617i	−0.141420	+	1.34552i
$797$	−37.1107	+	7.88813i	−1.31453	+	0.279412i	−0.811243	−	0.584709i	$-0.801209\pi$
$797$	−37.1107	+	7.88813i	−1.31453	+	0.279412i	−0.503285	+	0.864120i	$0.667876\pi$
$798$	−16.0479	+	49.3903i	−0.568088	+	1.74840i
$799$	−23.2539	−	4.94276i	−0.822663	−	0.174862i
$800$	−3.94615	+	6.83493i	−0.139517	+	0.241651i
$801$	7.26066	+	12.5758i	0.256543	+	0.444345i
$802$	2.92896	+	9.01441i	0.103425	+	0.318310i
$803$	−1.65070	−	15.7054i	−0.0582519	−	0.554230i
$804$	−3.57961	−	2.60074i	−0.126243	−	0.0917210i
$805$	−8.83866			−0.311522
$806$	1.47089	−	1.00805i	0.0518100	−	0.0355069i
$807$	−3.85231			−0.135608
$808$	2.82796	+	2.05463i	0.0994873	+	0.0722818i
$809$	3.55997	+	33.8708i	0.125162	+	1.19084i	0.859168	+	0.511693i	$0.170981\pi$
$809$	3.55997	+	33.8708i	0.125162	+	1.19084i	−0.734007	+	0.679142i	$0.762352\pi$
$810$	6.85829	+	21.1077i	0.240976	+	0.741647i
$811$	−2.39523	−	4.14866i	−0.0841079	−	0.145679i	0.820903	−	0.571068i	$-0.193471\pi$
$811$	−2.39523	−	4.14866i	−0.0841079	−	0.145679i	−0.905011	+	0.425389i	$0.860137\pi$
$812$	−14.4719	+	25.0661i	−0.507866	+	0.879649i
$813$	4.66147	+	0.990826i	0.163485	+	0.0347498i
$814$	12.9096	−	39.7317i	0.452481	−	1.39259i
$815$	−6.34242	+	1.34812i	−0.222165	+	0.0472227i
$816$	−2.15688	+	20.5214i	−0.0755060	+	0.718392i
$817$	−4.84746	+	5.38365i	−0.169591	+	0.188350i
$818$	8.26583	−	3.68018i	0.289008	−	0.128675i
$819$	0.408044	+	0.181673i	0.0142582	+	0.00634816i
$820$	−4.00005	−	4.44250i	−0.139688	−	0.155139i
$821$	−30.3295	+	22.0357i	−1.05851	+	0.769050i	−0.973811	−	0.227357i	$-0.926992\pi$
$821$	−30.3295	+	22.0357i	−1.05851	+	0.769050i	−0.0846949	+	0.996407i	$0.526992\pi$
$822$	−8.43439	+	6.12794i	−0.294183	+	0.213737i
$823$	−24.8420	−	27.5899i	−0.865939	−	0.961722i	0.133632	−	0.991031i	$-0.457336\pi$
$823$	−24.8420	−	27.5899i	−0.865939	−	0.961722i	−0.999570	+	0.0293088i	$0.990669\pi$
$824$	−1.97221	−	0.878085i	−0.0687052	−	0.0305895i
$825$	−6.05879	+	2.69755i	−0.210940	+	0.0939165i
$826$	11.7634	−	13.0646i	0.409303	−	0.454577i
$827$	1.64371	−	15.6389i	0.0571575	−	0.543817i	−0.928050	−	0.372454i	$-0.878516\pi$
$827$	1.64371	−	15.6389i	0.0571575	−	0.543817i	0.985208	−	0.171363i	$-0.0548171\pi$
$828$	10.7873	−	2.29291i	0.374884	−	0.0796841i
$829$	6.46986	−	19.9122i	0.224708	−	0.691579i	−0.773614	−	0.633658i	$-0.781553\pi$
$829$	6.46986	−	19.9122i	0.224708	−	0.691579i	0.998321	−	0.0579210i	$-0.0184472\pi$
$830$	19.1358	+	4.06743i	0.664212	+	0.141183i
$831$	−12.8845	+	22.3165i	−0.446957	+	0.774152i
$832$	0.587785	+	1.01807i	0.0203778	+	0.0352953i
$833$	−2.03889	−	6.27504i	−0.0706432	−	0.217417i
$834$	−0.668323	−	6.35867i	−0.0231421	−	0.220183i
$835$	11.3905	+	8.27565i	0.394183	+	0.286391i
$836$	−37.2857			−1.28955
$837$	17.7775	−	7.33605i	0.614480	−	0.253571i
$838$	17.0947			0.590527
$839$	−29.5486	−	21.4683i	−1.02013	−	0.741168i	−0.0538208	−	0.998551i	$-0.517140\pi$
$839$	−29.5486	−	21.4683i	−1.02013	−	0.741168i	−0.966310	+	0.257382i	$0.917140\pi$
$840$	0.0803778	+	0.764743i	0.00277330	+	0.0263862i
$841$	7.87299	+	24.2306i	0.271482	+	0.835537i
$842$	22.8601	+	39.5948i	0.787810	+	1.36453i
$843$	12.9537	−	22.4365i	0.446151	−	0.772756i
$844$	−22.4107	−	4.76354i	−0.771408	−	0.163968i
$845$	−4.00911	+	12.3388i	−0.137918	+	0.424467i
$846$	26.0137	−	5.52939i	0.894371	−	0.190104i
$847$	0.186955	−	1.77876i	0.00642384	−	0.0611188i
$848$	−5.50561	+	6.11460i	−0.189063	+	0.209976i
$849$	60.3379	−	26.8642i	2.07079	−	0.921976i
$850$	−4.28547	−	1.90802i	−0.146991	−	0.0654444i
$851$	19.1156	+	21.2300i	0.655274	+	0.727755i
$852$	26.2069	−	19.0404i	0.897832	−	0.652313i
$853$	−42.7449	+	31.0560i	−1.46356	+	1.06334i	−0.481140	+	0.876644i	$0.659777\pi$
$853$	−42.7449	+	31.0560i	−1.46356	+	1.06334i	−0.982418	+	0.186694i	$0.940223\pi$
$854$	−29.9350	−	33.2462i	−1.02436	−	1.13766i
$855$	−7.52561	−	3.35062i	−0.257371	−	0.114589i
$856$	2.71561	−	1.20907i	0.0928177	−	0.0413251i
$857$	27.3313	−	30.3545i	0.933619	−	1.03689i	−0.0656180	−	0.997845i	$-0.520902\pi$
$857$	27.3313	−	30.3545i	0.933619	−	1.03689i	0.999237	−	0.0390446i	$-0.0124314\pi$
$858$	−0.222025	+	2.11242i	−0.00757980	+	0.0721170i
$859$	42.2489	−	8.98027i	1.44151	−	0.306403i	0.580198	−	0.814475i	$-0.302975\pi$
$859$	42.2489	−	8.98027i	1.44151	−	0.306403i	0.861314	+	0.508072i	$0.169642\pi$
$860$	0.696476	−	2.14353i	0.0237496	−	0.0730939i
$861$	−13.1099	−	2.78659i	−0.446784	−	0.0949669i
$862$	28.4867	−	49.3404i	0.970260	−	1.68054i
$863$	17.2776	+	29.9257i	0.588137	+	1.01868i	0.994476	+	0.104961i	$0.0334718\pi$
$863$	17.2776	+	29.9257i	0.588137	+	1.01868i	−0.406339	+	0.913722i	$0.633195\pi$
$864$	8.42406	+	25.9266i	0.286592	+	0.882041i
$865$	−1.22394	−	11.6450i	−0.0416152	−	0.395942i
$866$	−22.9775	−	16.6941i	−0.780808	−	0.567290i
$867$	23.6948			0.804718
$868$	−21.4734	+	3.95040i	−0.728856	+	0.134085i
$869$	47.8484			1.62315
$870$	−24.6022	−	17.8745i	−0.834092	−	0.606004i
$871$	0.0188312	+	0.179167i	0.000638072	+	0.00607085i
$872$	−0.0875603	−	0.269483i	−0.00296517	−	0.00912584i
$873$	−9.99327	−	17.3089i	−0.338221	−	0.585816i
$874$	26.1037	−	45.2130i	0.882972	−	1.52935i
$875$	−2.00916	−	0.427061i	−0.0679221	−	0.0144373i
$876$	−6.10002	+	18.7739i	−0.206101	+	0.634312i
$877$	42.5949	−	9.05382i	1.43833	−	0.305726i	0.578237	−	0.815869i	$-0.303741\pi$
$877$	42.5949	−	9.05382i	1.43833	−	0.305726i	0.860090	+	0.510143i	$0.170407\pi$
$878$	4.68064	−	44.5333i	0.157964	−	1.50293i
$879$	3.63725	−	4.03958i	0.122681	−	0.136252i
$880$	−12.1343	+	5.40255i	−0.409048	+	0.182120i
$881$	−29.4320	−	13.1040i	−0.991588	−	0.441483i	−0.154169	−	0.988045i	$-0.549270\pi$
$881$	−29.4320	−	13.1040i	−0.991588	−	0.441483i	−0.837419	+	0.546561i	$0.815937\pi$
$882$	4.93888	+	5.48519i	0.166301	+	0.184696i
$883$	10.4397	−	7.58487i	0.351323	−	0.255251i	−0.398101	−	0.917342i	$-0.630331\pi$
$883$	10.4397	−	7.58487i	0.351323	−	0.255251i	0.749424	+	0.662091i	$0.230331\pi$
$884$	−0.593600	+	0.431276i	−0.0199649	+	0.0145054i
$885$	6.03601	+	6.70367i	0.202898	+	0.225341i
$886$	−36.4192	−	16.2149i	−1.22353	−	0.544749i
$887$	10.7989	−	4.80799i	0.362592	−	0.161437i	−0.217351	−	0.976094i	$-0.569741\pi$
$887$	10.7989	−	4.80799i	0.362592	−	0.161437i	0.579943	+	0.814657i	$0.303075\pi$
$888$	1.66304	−	1.84699i	0.0558079	−	0.0619810i
$889$	−2.73420	+	26.0142i	−0.0917022	+	0.872488i
$890$	−20.9197	+	4.44662i	−0.701230	+	0.149051i
$891$	−11.0399	+	33.9772i	−0.369850	+	1.13828i
$892$	−41.7770	−	8.87998i	−1.39880	−	0.297324i
$893$	30.7432	−	53.2488i	1.02878	−	1.78190i
$894$	43.8710	+	75.9868i	1.46726	+	2.54138i
$895$	−5.60753	−	17.2582i	−0.187439	−	0.576878i
$896$	0.308255	+	2.93285i	0.0102981	+	0.0979797i
$897$	−1.17509	−	0.853752i	−0.0392351	−	0.0285060i
$898$	−12.3006			−0.410476
$899$	−21.5186	+	35.0108i	−0.717685	+	1.16767i
$900$	2.56290			0.0854301
$901$	−3.78428	−	2.74944i	−0.126073	−	0.0915972i
$902$	−2.05959	−	19.5957i	−0.0685768	−	0.652465i
$903$	−1.56152	−	4.80586i	−0.0519641	−	0.159929i
$904$	0.502901	+	0.871049i	0.0167262	+	0.0289707i
$905$	−9.58570	+	16.6029i	−0.318640	+	0.551900i
$906$	66.9602	+	14.2328i	2.22460	+	0.472854i
$907$	10.6095	−	32.6526i	0.352281	−	1.08421i	−0.605288	−	0.796007i	$-0.706942\pi$
$907$	10.6095	−	32.6526i	0.352281	−	1.08421i	0.957569	−	0.288204i	$-0.0930580\pi$
$908$	26.9122	−	5.72037i	0.893114	−	0.189837i
$909$	2.73037	−	25.9778i	0.0905607	−	0.861628i
$910$	−0.440183	+	0.488873i	−0.0145919	+	0.0162060i
$911$	−47.4086	+	21.1077i	−1.57072	+	0.699328i	−0.993132	−	0.117002i	$-0.962672\pi$
$911$	−47.4086	+	21.1077i	−1.57072	+	0.699328i	−0.577585	+	0.816330i	$0.696005\pi$
$912$	−48.7541	−	21.7067i	−1.61441	−	0.718781i
$913$	21.0718	+	23.4026i	0.697373	+	0.774512i
$914$	−26.4575	+	19.2225i	−0.875136	+	0.635823i
$915$	18.5713	−	13.4928i	0.613948	−	0.446059i
$916$	18.4913	+	20.5367i	0.610970	+	0.678550i
$917$	−23.7847	−	10.5896i	−0.785439	−	0.349700i
$918$	−14.8025	+	6.59049i	−0.488555	+	0.217519i
$919$	−14.4142	+	16.0086i	−0.475480	+	0.528074i	−0.932397	−	0.361435i	$-0.882287\pi$
$919$	−14.4142	+	16.0086i	−0.475480	+	0.528074i	0.456917	+	0.889509i	$0.348954\pi$
$920$	0.0808041	−	0.768800i	0.00266403	−	0.0253466i
$921$	45.1594	−	9.59893i	1.48805	−	0.316296i
$922$	−8.69533	+	26.7615i	−0.286365	+	0.881342i
$923$	−1.29011	−	0.274222i	−0.0424646	−	0.00902614i
$924$	13.0039	−	22.5234i	0.427797	−	0.740966i
$925$	3.31949	+	5.74952i	0.109144	+	0.189043i
$926$	−14.7704	−	45.4587i	−0.485386	−	1.49387i
$927$	1.68628	+	16.0439i	0.0553847	+	0.526950i
$928$	−47.1270	−	34.2397i	−1.54702	−	1.12397i
$929$	−12.1089			−0.397280			−0.198640	−	0.980073i	$-0.563652\pi$
$929$	−12.1089			−0.397280			−0.198640	+	0.980073i	$0.563652\pi$
$930$	−1.76948	−	22.8714i	−0.0580235	−	0.749982i
$931$	17.0647			0.559273
$932$	−22.1041	−	16.0596i	−0.724043	−	0.526048i
$933$	−5.41168	−	51.4887i	−0.177171	−	1.68566i
$934$	−7.90797	−	24.3382i	−0.258757	−	0.796371i
$935$	−3.77561	−	6.53955i	−0.123476	−	0.213866i
$936$	−0.0195326	+	0.0338314i	−0.000638442	+	0.00110581i
$937$	−44.7959	−	9.52165i	−1.46342	−	0.311059i	−0.593731	−	0.804664i	$-0.702345\pi$
$937$	−44.7959	−	9.52165i	−1.46342	−	0.311059i	−0.869686	+	0.493605i	$0.835679\pi$
$938$	1.39575	−	4.29568i	0.0455728	−	0.140259i
$939$	−7.81534	+	1.66120i	−0.255044	+	0.0542113i
$940$	−1.99956	+	19.0246i	−0.0652185	+	0.620513i
$941$	16.3338	−	18.1405i	0.532466	−	0.591363i	−0.415557	−	0.909567i	$-0.636413\pi$
$941$	16.3338	−	18.1405i	0.532466	−	0.591363i	0.948022	+	0.318204i	$0.103080\pi$
$942$	50.6432	−	22.5478i	1.65005	−	0.734648i
$943$	12.3090	+	5.48032i	0.400836	+	0.178464i
$944$	12.0887	+	13.4259i	0.393454	+	0.436975i
$945$	−5.73990	+	4.17028i	−0.186719	+	0.135659i
$946$	6.00999	−	4.36651i	0.195402	−	0.141968i
$947$	7.70458	+	8.55681i	0.250365	+	0.278059i	0.855207	−	0.518287i	$-0.173430\pi$
$947$	7.70458	+	8.55681i	0.250365	+	0.278059i	−0.604841	+	0.796346i	$0.706763\pi$
$948$	−54.6403	−	24.3274i	−1.77464	−	0.790119i
$949$	0.734253	−	0.326910i	0.0238349	−	0.0106120i
$950$	8.11836	−	9.01635i	0.263394	−	0.292529i
$951$	0.692028	−	6.58421i	0.0224405	−	0.213508i
$952$	−0.856381	+	0.182029i	−0.0277555	+	0.00589961i
$953$	2.24917	−	6.92224i	0.0728579	−	0.224233i	−0.907996	−	0.418979i	$-0.862388\pi$
$953$	2.24917	−	6.92224i	0.0728579	−	0.224233i	0.980854	+	0.194746i	$0.0623881\pi$
$954$	5.11844	+	1.08796i	0.165716	+	0.0352239i
$955$	−5.29258	+	9.16702i	−0.171264	+	0.296638i
$956$	−5.48166	−	9.49451i	−0.177290	−	0.307074i
$957$	−15.1268	−	46.5555i	−0.488980	−	1.50492i
$958$	3.85477	+	36.6757i	0.124542	+	1.18494i
$959$	−4.20491	−	3.05505i	−0.135784	−	0.0986527i
$960$	15.1232			0.488100
$961$	−30.6311	+	4.76819i	−0.988100	+	0.153812i
$962$	2.12624			0.0685528
$963$	−17.9708	−	13.0565i	−0.579100	−	0.420741i
$964$	5.70646	+	54.2933i	0.183793	+	1.74867i
$965$	−1.93108	−	5.94325i	−0.0621636	−	0.191320i
$966$	18.2081	+	31.5373i	0.585835	+	1.01470i
$967$	−23.8212	+	41.2595i	−0.766039	+	1.32682i	0.173657	+	0.984806i	$0.444442\pi$
$967$	−23.8212	+	41.2595i	−0.766039	+	1.32682i	−0.939696	+	0.342011i	$0.888892\pi$
$968$	0.153010	+	0.0325232i	0.00491792	+	0.00104534i
$969$	9.37549	−	28.8548i	0.301184	−	0.926950i
$970$	28.7930	−	6.12015i	0.924489	−	0.196506i
$971$	1.71316	−	16.2997i	0.0549780	−	0.523081i	−0.932027	−	0.362390i	$-0.881961\pi$
$971$	1.71316	−	16.2997i	0.0549780	−	0.523081i	0.987005	−	0.160691i	$-0.0513723\pi$
$972$	16.6444	−	18.4855i	0.533870	−	0.592923i
$973$	2.91196	−	1.29649i	0.0933531	−	0.0415635i
$974$	−62.4619	−	27.8098i	−2.00141	−	0.891085i
$975$	−0.225865	−	0.250848i	−0.00723346	−	0.00803357i
$976$	37.1940	−	27.0230i	1.19055	−	0.864985i
$977$	−19.6823	+	14.3000i	−0.629692	+	0.457498i	−0.856293	−	0.516490i	$-0.827238\pi$
$977$	−19.6823	+	14.3000i	−0.629692	+	0.457498i	0.226602	+	0.973988i	$0.427238\pi$
$978$	17.8759	+	19.8532i	0.571610	+	0.634837i
$979$	−31.4507	−	14.0027i	−1.00517	−	0.447529i
$980$	−4.85009	+	2.15940i	−0.154930	+	0.0689795i
$981$	−1.41680	+	1.57351i	−0.0452348	+	0.0502384i
$982$	−5.19939	+	49.4689i	−0.165919	+	1.57862i
$983$	40.4485	−	8.59759i	1.29011	−	0.274220i	0.488758	−	0.872419i	$-0.337450\pi$
$983$	40.4485	−	8.59759i	1.29011	−	0.274220i	0.801348	+	0.598199i	$0.204117\pi$
$984$	0.362234	−	1.11484i	0.0115476	−	0.0355399i
$985$	−14.9627	−	3.18043i	−0.476753	−	0.101337i
$986$	17.3120	−	29.9853i	0.551327	−	0.954926i
$987$	21.4442	+	37.1425i	0.682578	+	1.18226i
$988$	−0.586418	−	1.80481i	−0.0186564	−	0.0574186i
$989$	0.531003	+	5.05215i	0.0168849	+	0.160649i
$990$	6.83411	+	4.96527i	0.217202	+	0.157807i
$991$	16.4414			0.522280			0.261140	−	0.965301i	$-0.415902\pi$
$991$	16.4414			0.522280			0.261140	+	0.965301i	$0.415902\pi$
$992$	−3.38954	−	43.8115i	−0.107618	−	1.39102i
$993$	−57.7579			−1.83289
$994$	26.7524	+	19.4367i	0.848533	+	0.616496i
$995$	−2.08992	−	19.8842i	−0.0662548	−	0.630373i
$996$	−12.1643	−	37.4379i	−0.385441	−	1.18627i
$997$	−9.89998	−	17.1473i	−0.313535	−	0.543059i	0.665590	−	0.746318i	$-0.268180\pi$
$997$	−9.89998	−	17.1473i	−0.313535	−	0.543059i	−0.979125	+	0.203259i	$0.934847\pi$
$998$	36.0868	−	62.5042i	1.14231	−	1.97854i
$999$	22.4306	+	4.76778i	0.709674	+	0.150846i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	155.2.q.b.41.4	✓	40
5.2	odd	4		775.2.ck.b.599.3		80
5.3	odd	4		775.2.ck.b.599.8		80
5.4	even	2		775.2.bl.b.351.2		40
31.11	odd	30		4805.2.a.z.1.4		20
31.20	even	15		4805.2.a.ba.1.4		20
31.28	even	15	inner	155.2.q.b.121.4	yes	40
155.28	odd	60		775.2.ck.b.524.3		80
155.59	even	30		775.2.bl.b.276.2		40
155.152	odd	60		775.2.ck.b.524.8		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
155.2.q.b.41.4	✓	40	1.1	even	1	trivial
155.2.q.b.121.4	yes	40	31.28	even	15	inner
775.2.bl.b.276.2		40	155.59	even	30
775.2.bl.b.351.2		40	5.4	even	2
775.2.ck.b.524.3		80	155.28	odd	60
775.2.ck.b.524.8		80	155.152	odd	60
775.2.ck.b.599.3		80	5.2	odd	4
775.2.ck.b.599.8		80	5.3	odd	4
4805.2.a.z.1.4		20	31.11	odd	30
4805.2.a.ba.1.4		20	31.20	even	15

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 155 = 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	155.q (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.59955 + 1.16214i) q^{2} +(0.217822 + 2.07244i) q^{3} +(0.589956 + 1.81570i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-2.06005 + 3.56811i) q^{6} +(-2.00916 - 0.427061i) q^{7} +(0.0555144 - 0.170856i) q^{8} +(-1.31311 + 0.279109i) q^{9} +(0.206669 - 1.96632i) q^{10} +(2.12961 - 2.36517i) q^{11} +(-3.63441 + 1.61815i) q^{12} +(0.147979 + 0.0658846i) q^{13} +(-2.71745 - 3.01804i) q^{14} +(1.68587 - 1.22486i) q^{15} +(3.37641 - 2.45310i) q^{16} +(1.58759 + 1.76320i) q^{17} +(-2.42474 - 1.07957i) q^{18} +(-5.60592 + 2.49592i) q^{19} +(1.27746 - 1.41877i) q^{20} +(0.447417 - 4.25689i) q^{21} +(6.15508 - 1.30830i) q^{22} +(-1.32971 + 4.09244i) q^{23} +(0.366180 + 0.0778340i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(0.160133 + 0.277359i) q^{26} +(1.06738 + 3.28505i) q^{27} +(-0.409905 - 3.89998i) q^{28} +(-5.97126 - 4.33838i) q^{29} +4.12010 q^{30} +(-0.429475 - 5.55118i) q^{31} +7.89229 q^{32} +(5.36554 + 3.89829i) q^{33} +(0.490347 + 4.66534i) q^{34} +(0.634736 + 1.95352i) q^{35} +(-1.28145 - 2.21954i) q^{36} +(3.31949 - 5.74952i) q^{37} +(-11.8676 - 2.52253i) q^{38} +(-0.104309 + 0.321029i) q^{39} +(-0.175723 + 0.0373510i) q^{40} +(0.327304 - 3.11409i) q^{41} +(5.66277 - 6.28915i) q^{42} +(1.07849 - 0.480176i) q^{43} +(5.55081 + 2.47138i) q^{44} +(0.898268 + 0.997628i) q^{45} +(-6.88294 + 5.00075i) q^{46} +(-8.10626 + 5.88954i) q^{47} +(5.81936 + 6.46305i) q^{48} +(-2.54046 - 1.13109i) q^{49} +(-1.80622 + 0.804181i) q^{50} +(-3.30831 + 3.67425i) q^{51} +(-0.0323253 + 0.307555i) q^{52} +(-1.92842 + 0.409899i) q^{53} +(-2.11037 + 6.49506i) q^{54} +(-3.11310 - 0.661710i) q^{55} +(-0.184503 + 0.319569i) q^{56} +(-6.39372 - 11.0742i) q^{57} +(-4.50953 - 13.8789i) q^{58} +(0.452488 + 4.30513i) q^{59} +(3.21856 + 2.33842i) q^{60} +11.0158 q^{61} +(5.76429 - 9.37850i) q^{62} +2.75744 q^{63} +(5.87131 + 4.26576i) q^{64} +(-0.0169319 - 0.161096i) q^{65} +(4.05209 + 12.4710i) q^{66} +(0.556088 + 0.963173i) q^{67} +(-2.26483 + 3.92280i) q^{68} +(-8.77096 - 1.86432i) q^{69} +(-1.25497 + 3.86240i) q^{70} +(-7.96448 + 1.69290i) q^{71} +(-0.0252089 + 0.239846i) q^{72} +(3.32013 - 3.68738i) q^{73} +(11.9915 - 5.33894i) q^{74} +(-1.90369 - 0.847579i) q^{75} +(-7.83908 - 8.70618i) q^{76} +(-5.28880 + 3.84254i) q^{77} +(-0.539928 + 0.392281i) q^{78} +(10.0598 + 11.1726i) q^{79} +(-3.81265 - 1.69750i) q^{80} +(-10.2547 + 4.56569i) q^{81} +(4.14255 - 4.60077i) q^{82} +(-1.03427 + 9.84046i) q^{83} +(7.99318 - 1.69900i) q^{84} +(0.733180 - 2.25650i) q^{85} +(2.28314 + 0.485295i) q^{86} +(7.69034 - 13.3201i) q^{87} +(-0.285879 - 0.495157i) q^{88} +(-3.34267 - 10.2877i) q^{89} +(0.277441 + 2.63967i) q^{90} +(-0.269178 - 0.195569i) q^{91} -8.21510 q^{92} +(11.4109 - 2.09923i) q^{93} -19.8109 q^{94} +(4.96449 + 3.60691i) q^{95} +(1.71911 + 16.3563i) q^{96} +(4.60071 + 14.1595i) q^{97} +(-2.74911 - 4.76161i) q^{98} +(-2.13626 + 3.70011i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q + 2 q^{2} + 3 q^{3} - 2 q^{4} - 20 q^{5} - 12 q^{6} - 2 q^{7} - 31 q^{8} + 6 q^{9} - q^{10} + 16 q^{11} - q^{12} + 2 q^{13} - 10 q^{14} - 6 q^{15} - 16 q^{16} + 4 q^{17} + 37 q^{18} - 9 q^{19} + q^{20}+ \cdots + 17 q^{99}+O(q^{100}) \) 40 * q + 2 * q^2 + 3 * q^3 - 2 * q^4 - 20 * q^5 - 12 * q^6 - 2 * q^7 - 31 * q^8 + 6 * q^9 - q^10 + 16 * q^11 - q^12 + 2 * q^13 - 10 * q^14 - 6 * q^15 - 16 * q^16 + 4 * q^17 + 37 * q^18 - 9 * q^19 + q^20 - 24 * q^21 - 2 * q^22 - 4 * q^23 + 110 * q^24 - 20 * q^25 - 4 * q^26 - 9 * q^27 + 38 * q^28 - 22 * q^29 + 24 * q^30 - 6 * q^31 - 60 * q^32 + 9 * q^33 - 16 * q^34 + 4 * q^35 - q^36 - 38 * q^37 - 32 * q^38 - 55 * q^39 + 8 * q^40 - 24 * q^41 - 68 * q^42 + 26 * q^43 - 52 * q^44 + 6 * q^45 - 50 * q^46 + 4 * q^47 + 105 * q^48 + 93 * q^49 - q^50 - 42 * q^51 + 15 * q^52 + 13 * q^53 + 102 * q^54 + q^55 + 5 * q^56 - 36 * q^57 - 37 * q^58 + 31 * q^59 + 17 * q^60 + 68 * q^61 + 47 * q^62 - 10 * q^63 - 23 * q^64 + 2 * q^65 - 2 * q^67 - 28 * q^68 - 48 * q^69 - 10 * q^70 - 30 * q^71 + 39 * q^72 + 25 * q^73 + 50 * q^74 + 3 * q^75 + 14 * q^76 - 64 * q^77 - 22 * q^78 + 49 * q^79 - 7 * q^80 + 25 * q^81 - 66 * q^82 - 18 * q^83 - 18 * q^84 + 7 * q^85 + 163 * q^86 - 36 * q^87 - 124 * q^88 + 4 * q^89 - 23 * q^90 - 37 * q^91 + 110 * q^92 + 7 * q^93 - 94 * q^94 - 12 * q^95 + 22 * q^96 + 46 * q^97 - 13 * q^98 + 17 * q^99

Introduction

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