LMFDB - Embedded newform 529.2.c.e.118.1

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [529,2,Mod(118,529)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("529.118"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(529, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([16])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 529 = 23^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	529.c (of order $11$, degree $10$, not minimal)

Newform invariants

comment:select newform

sage:traces = [10,4,-7,8,3,-5,-6] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(7)] == traces)

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

Self dual:	no
Analytic conductor:	$4.22408626693$
Analytic rank:	$0$
Dimension:	$10$
Coefficient field:	$\Q(\zeta_{22})$
comment:defining polynomial gp:f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 $ x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	no (minimal twist has level 23)
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			118.1
Root			$-0.415415 - 0.909632i$ of defining polynomial
Character	$\chi$	$=$	529.118
Dual form			529.2.c.e.399.1

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0336545 - 0.234072i) q^{2} +(0.198939 - 0.435615i) q^{3} +(1.86533 - 0.547710i) q^{4} +(0.991025 - 1.14370i) q^{5} +(-0.108660 - 0.0319056i) q^{6} +(2.14200 - 1.37658i) q^{7} +(-0.387454 - 0.848406i) q^{8} +(1.81440 + 2.09393i) q^{9} +(-0.301061 - 0.193480i) q^{10} +(-0.479997 + 3.33846i) q^{11} +(0.132495 - 0.921526i) q^{12} +(2.76921 + 1.77967i) q^{13} +(-0.394306 - 0.455054i) q^{14} +(-0.301061 - 0.659232i) q^{15} +(3.08538 - 1.98285i) q^{16} +(-6.02260 - 1.76840i) q^{17} +(0.429067 - 0.495170i) q^{18} +(-4.05954 + 1.19199i) q^{19} +(1.22217 - 2.67618i) q^{20} +(-0.173532 - 1.20694i) q^{21} +0.797593 q^{22} -0.446658 q^{24} +(0.385646 + 2.68223i) q^{25} +(0.323373 - 0.708089i) q^{26} +(2.65158 - 0.778574i) q^{27} +(3.24157 - 3.74097i) q^{28} +(-6.03158 - 1.77103i) q^{29} +(-0.144176 + 0.0926561i) q^{30} +(-1.96992 - 4.31352i) q^{31} +(-1.78953 - 2.06523i) q^{32} +(1.35879 + 0.873242i) q^{33} +(-0.211244 + 1.46924i) q^{34} +(0.548376 - 3.81404i) q^{35} +(4.53131 + 2.91210i) q^{36} +(0.0248666 + 0.0286976i) q^{37} +(0.415632 + 0.910108i) q^{38} +(1.32615 - 0.852267i) q^{39} +(-1.35430 - 0.397659i) q^{40} +(-2.12611 + 2.45366i) q^{41} +(-0.276671 + 0.0812380i) q^{42} +(-0.535418 + 1.17240i) q^{43} +(0.933152 + 6.49022i) q^{44} +4.19295 q^{45} +3.41741 q^{47} +(-0.249959 - 1.73850i) q^{48} +(-0.214713 + 0.470156i) q^{49} +(0.614856 - 0.180538i) q^{50} +(-1.96847 + 2.27173i) q^{51} +(6.14024 + 1.80294i) q^{52} +(5.65809 - 3.63623i) q^{53} +(-0.271480 - 0.594458i) q^{54} +(3.34251 + 3.85747i) q^{55} +(-1.99782 - 1.28392i) q^{56} +(-0.288351 + 2.00553i) q^{57} +(-0.211559 + 1.47143i) q^{58} +(-8.76470 - 5.63273i) q^{59} +(-0.922646 - 1.06479i) q^{60} +(-1.49541 - 3.27450i) q^{61} +(-0.943376 + 0.606271i) q^{62} +(6.76890 + 1.98753i) q^{63} +(4.38034 - 5.05518i) q^{64} +(4.77977 - 1.40347i) q^{65} +(0.158672 - 0.347443i) q^{66} +(-0.970501 - 6.74998i) q^{67} -12.2027 q^{68} -0.911214 q^{70} +(-0.582030 - 4.04811i) q^{71} +(1.07350 - 2.35065i) q^{72} +(-4.18482 + 1.22877i) q^{73} +(0.00588042 - 0.00678637i) q^{74} +(1.24514 + 0.365606i) q^{75} +(-6.91951 + 4.44690i) q^{76} +(3.56750 + 7.81173i) q^{77} +(-0.244123 - 0.281733i) q^{78} +(-2.02068 - 1.29861i) q^{79} +(0.789891 - 5.49381i) q^{80} +(-0.994576 + 6.91743i) q^{81} +(0.645886 + 0.415086i) q^{82} +(1.93652 + 2.23487i) q^{83} +(-0.984749 - 2.15630i) q^{84} +(-7.99107 + 5.13555i) q^{85} +(0.292445 + 0.0858697i) q^{86} +(-1.97140 + 2.27512i) q^{87} +(3.01834 - 0.886265i) q^{88} +(-5.13483 + 11.2437i) q^{89} +(-0.141111 - 0.981451i) q^{90} +8.38151 q^{91} -2.27092 q^{93} +(-0.115011 - 0.799919i) q^{94} +(-2.65982 + 5.82420i) q^{95} +(-1.25565 + 0.368693i) q^{96} +(-6.95233 + 8.02341i) q^{97} +(0.117276 + 0.0344354i) q^{98} +(-7.86139 + 5.05221i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9} - 12 q^{10} - 7 q^{11} - 10 q^{12} + 8 q^{13} + 2 q^{14} - 12 q^{15} + 12 q^{16} - q^{17} - 3 q^{18} - 2 q^{19} - 2 q^{20}+ \cdots - 25 q^{99}+O(q^{100}) $ 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9 - 12 * q^10 - 7 * q^11 - 10 * q^12 + 8 * q^13 + 2 * q^14 - 12 * q^15 + 12 * q^16 - q^17 - 3 * q^18 - 2 * q^19 - 2 * q^20 + 24 * q^21 + 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 + 26 * q^28 - 8 * q^29 + 4 * q^30 - 12 * q^31 - 23 * q^32 + 17 * q^33 + 26 * q^34 + 18 * q^35 - 6 * q^36 - 25 * q^37 + 52 * q^38 + 12 * q^39 - 12 * q^40 - 26 * q^41 + 14 * q^42 - 22 * q^43 - 32 * q^44 + 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 - 18 * q^51 + 13 * q^52 + 48 * q^53 - 17 * q^54 + 32 * q^55 + 2 * q^56 + 8 * q^57 - q^58 + q^59 + 8 * q^60 - 36 * q^61 - 18 * q^62 + 21 * q^63 + 13 * q^64 - 13 * q^65 - 2 * q^66 + 10 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 - 32 * q^74 - 6 * q^75 - 50 * q^76 + 13 * q^77 + 7 * q^78 - 18 * q^79 - 14 * q^80 + 11 * q^81 - 6 * q^82 + 15 * q^83 - 16 * q^84 - 19 * q^85 - 22 * q^86 + 10 * q^87 - 16 * q^88 + 19 * q^89 - 24 * q^90 + 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 - 21 * q^97 + 39 * q^98 - 25 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/529\mathbb{Z}\right)^\times$.

$n$	$5$
$\chi(n)$	$e\left(\frac{8}{11}\right)$

Coefficient data

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

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

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

$2$	−0.0336545	−	0.234072i	−0.0237973	−	0.165514i	0.974457	−	0.224573i	$-0.0720989\pi$
$2$	−0.0336545	−	0.234072i	−0.0237973	−	0.165514i	−0.998254	+	0.0590597i	$0.981190\pi$
$3$	0.198939	−	0.435615i	0.114857	−	0.251502i	−0.843469	−	0.537177i	$-0.819491\pi$
$3$	0.198939	−	0.435615i	0.114857	−	0.251502i	0.958327	+	0.285675i	$0.0922178\pi$
$4$	1.86533	−	0.547710i	0.932664	−	0.273855i
$5$	0.991025	−	1.14370i	0.443200	−	0.511480i	−0.489564	−	0.871967i	$-0.662844\pi$
$5$	0.991025	−	1.14370i	0.443200	−	0.511480i	0.932764	+	0.360487i	$0.117390\pi$
$6$	−0.108660	−	0.0319056i	−0.0443604	−	0.0130254i
$7$	2.14200	−	1.37658i	0.809600	−	0.520298i	−0.0691356	−	0.997607i	$-0.522024\pi$
$7$	2.14200	−	1.37658i	0.809600	−	0.520298i	0.878736	+	0.477309i	$0.158388\pi$
$8$	−0.387454	−	0.848406i	−0.136986	−	0.299957i
$9$	1.81440	+	2.09393i	0.604799	+	0.697976i
$10$	−0.301061	−	0.193480i	−0.0952039	−	0.0611839i
$11$	−0.479997	+	3.33846i	−0.144725	+	1.00658i	0.779955	+	0.625836i	$0.215242\pi$
$11$	−0.479997	+	3.33846i	−0.144725	+	1.00658i	−0.924680	+	0.380746i	$0.875667\pi$
$12$	0.132495	−	0.921526i	0.0382481	−	0.266022i
$13$	2.76921	+	1.77967i	0.768042	+	0.493591i	0.865045	−	0.501693i	$-0.167289\pi$
$13$	2.76921	+	1.77967i	0.768042	+	0.493591i	−0.0970036	+	0.995284i	$0.530926\pi$
$14$	−0.394306	−	0.455054i	−0.105383	−	0.121618i
$15$	−0.301061	−	0.659232i	−0.0777337	−	0.170213i
$16$	3.08538	−	1.98285i	0.771344	−	0.495713i
$17$	−6.02260	−	1.76840i	−1.46070	−	0.428899i	−0.547633	−	0.836719i	$-0.684471\pi$
$17$	−6.02260	−	1.76840i	−1.46070	−	0.428899i	−0.913062	+	0.407820i	$0.866289\pi$
$18$	0.429067	−	0.495170i	0.101132	−	0.116713i
$19$	−4.05954	+	1.19199i	−0.931322	+	0.273461i	−0.711990	−	0.702190i	$-0.752206\pi$
$19$	−4.05954	+	1.19199i	−0.931322	+	0.273461i	−0.219332	+	0.975650i	$0.570388\pi$
$20$	1.22217	−	2.67618i	0.273285	−	0.598412i
$21$	−0.173532	−	1.20694i	−0.0378678	−	0.263376i
$22$	0.797593			0.170047
$23$		0			0
$23$		0			0
$24$	−0.446658			−0.0911736
$25$	0.385646	+	2.68223i	0.0771293	+	0.536446i
$26$	0.323373	−	0.708089i	0.0634187	−	0.138868i
$27$	2.65158	−	0.778574i	0.510297	−	0.149837i
$28$	3.24157	−	3.74097i	0.612599	−	0.706977i
$29$	−6.03158	−	1.77103i	−1.12004	−	0.328872i	−0.331252	−	0.943542i	$-0.607471\pi$
$29$	−6.03158	−	1.77103i	−1.12004	−	0.328872i	−0.788784	+	0.614670i	$0.789289\pi$
$30$	−0.144176	+	0.0926561i	−0.0263228	+	0.0169166i
$31$	−1.96992	−	4.31352i	−0.353807	−	0.774730i	−0.999934	−	0.0114998i	$-0.996339\pi$
$31$	−1.96992	−	4.31352i	−0.353807	−	0.774730i	0.646126	−	0.763230i	$-0.276388\pi$
$32$	−1.78953	−	2.06523i	−0.316348	−	0.365084i
$33$	1.35879	+	0.873242i	0.236535	+	0.152012i
$34$	−0.211244	+	1.46924i	−0.0362281	+	0.251972i
$35$	0.548376	−	3.81404i	0.0926925	−	0.644690i
$36$	4.53131	+	2.91210i	0.755219	+	0.485350i
$37$	0.0248666	+	0.0286976i	0.00408804	+	0.00471785i	0.757790	−	0.652499i	$-0.226279\pi$
$37$	0.0248666	+	0.0286976i	0.00408804	+	0.00471785i	−0.753702	+	0.657216i	$0.771734\pi$
$38$	0.415632	+	0.910108i	0.0674245	+	0.147639i
$39$	1.32615	−	0.852267i	0.212354	−	0.136472i
$40$	−1.35430	−	0.397659i	−0.214134	−	0.0628754i
$41$	−2.12611	+	2.45366i	−0.332042	+	0.383197i	−0.897080	−	0.441868i	$-0.854316\pi$
$41$	−2.12611	+	2.45366i	−0.332042	+	0.383197i	0.565038	+	0.825065i	$0.308862\pi$
$42$	−0.276671	+	0.0812380i	−0.0426913	+	0.0125353i
$43$	−0.535418	+	1.17240i	−0.0816504	+	0.178790i	−0.946054	−	0.324009i	$-0.894969\pi$
$43$	−0.535418	+	1.17240i	−0.0816504	+	0.178790i	0.864403	+	0.502799i	$0.167696\pi$
$44$	0.933152	+	6.49022i	0.140678	+	0.978437i
$45$	4.19295			0.625048
$46$		0			0
$47$	3.41741			0.498480			0.249240	−	0.968442i	$-0.419819\pi$
$47$	3.41741			0.498480			0.249240	+	0.968442i	$0.419819\pi$
$48$	−0.249959	−	1.73850i	−0.0360784	−	0.250931i
$49$	−0.214713	+	0.470156i	−0.0306733	+	0.0671651i
$50$	0.614856	−	0.180538i	0.0869537	−	0.0255319i
$51$	−1.96847	+	2.27173i	−0.275641	+	0.318106i
$52$	6.14024	+	1.80294i	0.851498	+	0.250022i
$53$	5.65809	−	3.63623i	0.777198	−	0.499475i	−0.0909044	−	0.995860i	$-0.528976\pi$
$53$	5.65809	−	3.63623i	0.777198	−	0.499475i	0.868103	+	0.496385i	$0.165339\pi$
$54$	−0.271480	−	0.594458i	−0.0369437	−	0.0808954i
$55$	3.34251	+	3.85747i	0.450705	+	0.520141i
$56$	−1.99782	−	1.28392i	−0.266971	−	0.171572i
$57$	−0.288351	+	2.00553i	−0.0381931	+	0.265639i
$58$	−0.211559	+	1.47143i	−0.0277791	+	0.193208i
$59$	−8.76470	−	5.63273i	−1.14107	−	0.733319i	−0.173226	−	0.984882i	$-0.555419\pi$
$59$	−8.76470	−	5.63273i	−1.14107	−	0.733319i	−0.967841	+	0.251563i	$0.919055\pi$
$60$	−0.922646	−	1.06479i	−0.119113	−	0.137464i
$61$	−1.49541	−	3.27450i	−0.191468	−	0.419256i	0.789414	−	0.613862i	$-0.210385\pi$
$61$	−1.49541	−	3.27450i	−0.191468	−	0.419256i	−0.980882	+	0.194605i	$0.937657\pi$
$62$	−0.943376	+	0.606271i	−0.119809	+	0.0769965i
$63$	6.76890	+	1.98753i	0.852801	+	0.250405i
$64$	4.38034	−	5.05518i	0.547542	−	0.631898i
$65$	4.77977	−	1.40347i	0.592858	−	0.174079i
$66$	0.158672	−	0.347443i	0.0195312	−	0.0427673i
$67$	−0.970501	−	6.74998i	−0.118566	−	0.824641i	−0.959137	−	0.282941i	$-0.908690\pi$
$67$	−0.970501	−	6.74998i	−0.118566	−	0.824641i	0.840572	−	0.541700i	$-0.182219\pi$
$68$	−12.2027			−1.47979
$69$		0			0
$70$	−0.911214			−0.108911
$71$	−0.582030	−	4.04811i	−0.0690743	−	0.480422i	−0.994769	−	0.102151i	$-0.967428\pi$
$71$	−0.582030	−	4.04811i	−0.0690743	−	0.480422i	0.925695	−	0.378272i	$-0.123481\pi$
$72$	1.07350	−	2.35065i	0.126514	−	0.277026i
$73$	−4.18482	+	1.22877i	−0.489796	+	0.143817i	−0.517299	−	0.855805i	$-0.673063\pi$
$73$	−4.18482	+	1.22877i	−0.489796	+	0.143817i	0.0275033	+	0.999622i	$0.491244\pi$
$74$	0.00588042	−	0.00678637i	0.000683585	−	0.000788900i
$75$	1.24514	+	0.365606i	0.143776	+	0.0422165i
$76$	−6.91951	+	4.44690i	−0.793722	+	0.510094i
$77$	3.56750	+	7.81173i	0.406554	+	0.890229i
$78$	−0.244123	−	0.281733i	−0.0276414	−	0.0318999i
$79$	−2.02068	−	1.29861i	−0.227344	−	0.146105i	0.422011	−	0.906591i	$-0.361324\pi$
$79$	−2.02068	−	1.29861i	−0.227344	−	0.146105i	−0.649355	+	0.760486i	$0.724961\pi$
$80$	0.789891	−	5.49381i	0.0883125	−	0.614227i
$81$	−0.994576	+	6.91743i	−0.110508	+	0.768603i
$82$	0.645886	+	0.415086i	0.0713262	+	0.0458385i
$83$	1.93652	+	2.23487i	0.212561	+	0.245309i	0.852011	−	0.523525i	$-0.175383\pi$
$83$	1.93652	+	2.23487i	0.212561	+	0.245309i	−0.639450	+	0.768833i	$0.720838\pi$
$84$	−0.984749	−	2.15630i	−0.107445	−	0.235272i
$85$	−7.99107	+	5.13555i	−0.866753	+	0.557028i
$86$	0.292445	+	0.0858697i	0.0315352	+	0.00925957i
$87$	−1.97140	+	2.27512i	−0.211356	+	0.243918i
$88$	3.01834	−	0.886265i	0.321756	−	0.0944762i
$89$	−5.13483	+	11.2437i	−0.544291	+	1.19183i	0.415107	+	0.909773i	$0.363744\pi$
$89$	−5.13483	+	11.2437i	−0.544291	+	1.19183i	−0.959397	+	0.282058i	$0.908983\pi$
$90$	−0.141111	−	0.981451i	−0.0148744	−	0.103454i
$91$	8.38151			0.878621
$92$		0			0
$93$	−2.27092			−0.235484
$94$	−0.115011	−	0.799919i	−0.0118625	−	0.0825054i
$95$	−2.65982	+	5.82420i	−0.272892	+	0.597550i
$96$	−1.25565	+	0.368693i	−0.128154	+	0.0376295i
$97$	−6.95233	+	8.02341i	−0.705902	+	0.814654i	−0.989537	−	0.144278i	$-0.953914\pi$
$97$	−6.95233	+	8.02341i	−0.705902	+	0.814654i	0.283635	+	0.958932i	$0.408459\pi$
$98$	0.117276	+	0.0344354i	0.0118467	+	0.00347850i
$99$	−7.86139	+	5.05221i	−0.790099	+	0.507766i
$100$	2.18844	+	4.79202i	0.218844	+	0.479202i
$101$	−6.02407	−	6.95215i	−0.599417	−	0.691764i	0.372246	−	0.928134i	$-0.378588\pi$
$101$	−6.02407	−	6.95215i	−0.599417	−	0.691764i	−0.971663	+	0.236370i	$0.924042\pi$
$102$	0.597997	+	0.384309i	0.0592105	+	0.0380523i
$103$	2.10184	−	14.6186i	0.207100	−	1.44041i	−0.575456	−	0.817832i	$-0.695176\pi$
$103$	2.10184	−	14.6186i	0.207100	−	1.44041i	0.782556	−	0.622580i	$-0.213915\pi$
$104$	0.436936	−	3.03896i	0.0428451	−	0.297994i
$105$	−1.55236	−	0.997641i	−0.151495	−	0.0973598i
$106$	−1.04156	−	1.20202i	−0.101165	−	0.116751i
$107$	6.73247	+	14.7420i	0.650852	+	1.42517i	0.890806	+	0.454383i	$0.150140\pi$
$107$	6.73247	+	14.7420i	0.650852	+	1.42517i	−0.239954	+	0.970784i	$0.577133\pi$
$108$	4.51963	−	2.90459i	0.434902	−	0.279495i
$109$	14.4208	+	4.23433i	1.38126	+	0.405575i	0.886208	−	0.463287i	$-0.153330\pi$
$109$	14.4208	+	4.23433i	1.38126	+	0.405575i	0.495054	+	0.868862i	$0.335148\pi$
$110$	0.790434	−	0.912210i	0.0753649	−	0.0869758i
$111$	0.0174480	−	0.00512320i	0.00165609	−	0.000486273i
$112$	3.87932	−	8.49453i	0.366562	−	0.802658i
$113$	−0.164440	−	1.14370i	−0.0154692	−	0.107591i	0.980624	−	0.195900i	$-0.0627627\pi$
$113$	−0.164440	−	1.14370i	−0.0154692	−	0.107591i	−0.996093	+	0.0883092i	$0.971854\pi$
$114$	0.479142			0.0448758
$115$		0			0
$116$	−12.2209			−1.13468
$117$	1.29797	+	9.02756i	0.119997	+	0.834598i
$118$	−1.02349	+	2.24114i	−0.0942201	+	0.206313i
$119$	−15.3347	+	4.50269i	−1.40573	+	0.412761i
$120$	−0.442649	+	0.510844i	−0.0404081	+	0.0466335i
$121$	−0.360465	−	0.105842i	−0.0327695	−	0.00962200i
$122$	−0.716140	+	0.460235i	−0.0648363	+	0.0416678i
$123$	0.645886	+	1.41429i	0.0582376	+	0.127522i
$124$	−6.03710	−	6.96718i	−0.542147	−	0.625671i
$125$	9.81536	+	6.30795i	0.877913	+	0.564200i
$126$	0.237421	−	1.65130i	0.0211511	−	0.147109i
$127$	−1.48627	+	10.3372i	−0.131885	+	0.917279i	0.811210	+	0.584755i	$0.198809\pi$
$127$	−1.48627	+	10.3372i	−0.131885	+	0.917279i	−0.943095	+	0.332524i	$0.892100\pi$
$128$	−5.92847	−	3.80999i	−0.524007	−	0.336759i
$129$	0.404200	+	0.466472i	0.0355879	+	0.0410706i
$130$	−0.489373	−	1.07158i	−0.0429208	−	0.0939835i
$131$	−12.7825	+	8.21478i	−1.11681	+	0.717729i	−0.962766	−	0.270335i	$-0.912865\pi$
$131$	−12.7825	+	8.21478i	−1.11681	+	0.717729i	−0.154042	+	0.988064i	$0.549229\pi$
$132$	3.01288	+	0.884660i	0.262237	+	0.0769998i
$133$	−7.05466	+	8.14152i	−0.611717	+	0.705959i
$134$	−1.54732	+	0.454334i	−0.133668	+	0.0392485i
$135$	1.73732	−	3.80421i	0.149525	−	0.327414i
$136$	0.833164	+	5.79478i	0.0714432	+	0.496898i
$137$	−1.22243			−0.104439			−0.0522196	−	0.998636i	$-0.516630\pi$
$137$	−1.22243			−0.104439			−0.0522196	+	0.998636i	$0.516630\pi$
$138$		0			0
$139$	2.18447			0.185284			0.0926420	−	0.995699i	$-0.470469\pi$
$139$	2.18447			0.185284			0.0926420	+	0.995699i	$0.470469\pi$
$140$	−1.06609	−	7.41479i	−0.0901007	−	0.626664i
$141$	0.679855	−	1.48867i	0.0572541	−	0.125369i
$142$	−0.927961	+	0.272474i	−0.0778727	+	0.0228655i
$143$	−7.27055	+	8.39066i	−0.607994	+	0.701663i
$144$	9.75005	+	2.86287i	0.812504	+	0.238573i
$145$	−8.00298	+	5.14320i	−0.664611	+	0.427120i
$146$	0.428459	+	0.938194i	0.0354595	+	0.0776455i
$147$	0.162092	+	0.187064i	0.0133691	+	0.0154288i
$148$	0.0621023	+	0.0399107i	0.00510478	+	0.00328064i
$149$	−0.589164	+	4.09773i	−0.0482662	+	0.335699i	0.951353	+	0.308103i	$0.0996942\pi$
$149$	−0.589164	+	4.09773i	−0.0482662	+	0.335699i	−0.999619	+	0.0275958i	$0.991215\pi$
$150$	0.0436736	−	0.303756i	0.00356593	−	0.0248016i
$151$	−5.71715	−	3.67419i	−0.465255	−	0.299001i	0.286932	−	0.957951i	$-0.407365\pi$
$151$	−5.71715	−	3.67419i	−0.465255	−	0.299001i	−0.752187	+	0.658950i	$0.771001\pi$
$152$	2.58417	+	2.98229i	0.209604	+	0.241896i
$153$	−7.22451	−	15.8195i	−0.584067	−	1.27893i
$154$	1.70844	−	1.09795i	0.137670	−	0.0884753i
$155$	−6.88562	−	2.02180i	−0.553066	−	0.162395i
$156$	2.00692	−	2.31611i	0.160682	−	0.185437i
$157$	9.34292	−	2.74333i	0.745646	−	0.218941i	0.113228	−	0.993569i	$-0.463881\pi$
$157$	9.34292	−	2.74333i	0.745646	−	0.218941i	0.632418	+	0.774628i	$0.282063\pi$
$158$	−0.235963	+	0.516688i	−0.0187722	+	0.0411055i
$159$	−0.458385	−	3.18814i	−0.0363523	−	0.252836i
$160$	−4.13548			−0.326939
$161$		0			0
$162$	1.65265			0.129844
$163$	0.857985	+	5.96742i	0.0672026	+	0.467404i	0.995438	+	0.0954108i	$0.0304165\pi$
$163$	0.857985	+	5.96742i	0.0672026	+	0.467404i	−0.928235	+	0.371993i	$0.878674\pi$
$164$	−2.62200	+	5.74137i	−0.204744	+	0.448326i
$165$	2.34533	−	0.688650i	0.182583	−	0.0536113i
$166$	0.457947	−	0.528499i	0.0355436	−	0.0410195i
$167$	−1.68834	−	0.495742i	−0.130648	−	0.0383617i	0.215755	−	0.976448i	$-0.430779\pi$
$167$	−1.68834	−	0.495742i	−0.130648	−	0.0383617i	−0.346403	+	0.938086i	$0.612597\pi$
$168$	−0.956741	+	0.614860i	−0.0738142	+	0.0474375i
$169$	−0.899058	−	1.96866i	−0.0691583	−	0.151436i
$170$	1.47102	+	1.69765i	0.112822	+	0.130204i
$171$	−9.86155	−	6.33764i	−0.754132	−	0.484651i
$172$	−0.356594	+	2.48017i	−0.0271901	+	0.189111i
$173$	1.45327	−	10.1077i	0.110490	−	0.768475i	−0.856954	−	0.515392i	$-0.827646\pi$
$173$	1.45327	−	10.1077i	0.110490	−	0.768475i	0.967445	−	0.253083i	$-0.0814446\pi$
$174$	0.598888	+	0.384882i	0.0454016	+	0.0291778i
$175$	4.51836	+	5.21446i	0.341556	+	0.394176i
$176$	5.13869	+	11.2522i	0.387343	+	0.848163i
$177$	−4.19734	+	2.69747i	−0.315491	+	0.202754i
$178$	2.80464	+	0.823518i	0.210217	+	0.0617253i
$179$	6.74864	−	7.78835i	0.504417	−	0.582128i	−0.445243	−	0.895410i	$-0.646883\pi$
$179$	6.74864	−	7.78835i	0.504417	−	0.582128i	0.949660	+	0.313281i	$0.101428\pi$
$180$	7.82123	−	2.29652i	0.582960	−	0.171172i
$181$	−3.85982	+	8.45182i	−0.286898	+	0.628219i	−0.997127	−	0.0757519i	$-0.975864\pi$
$181$	−3.85982	+	8.45182i	−0.286898	+	0.628219i	0.710229	+	0.703971i	$0.248592\pi$
$182$	−0.282075	−	1.96188i	−0.0209088	−	0.145424i
$183$	−1.72392			−0.127435
$184$		0			0
$185$	0.0574649			0.00422491
$186$	0.0764267	+	0.531560i	0.00560388	+	0.0389758i
$187$	8.79454	−	19.2574i	0.643121	−	1.40824i
$188$	6.37459	−	1.87175i	0.464915	−	0.136511i
$189$	4.60791	−	5.31782i	0.335176	−	0.386814i
$190$	1.45280	+	0.426579i	0.105397	+	0.0309473i
$191$	17.2711	−	11.0995i	1.24969	−	0.803128i	0.262853	−	0.964836i	$-0.415337\pi$
$191$	17.2711	−	11.0995i	1.24969	−	0.803128i	0.986839	+	0.161708i	$0.0517002\pi$
$192$	−1.33069	−	2.91381i	−0.0960345	−	0.210286i
$193$	8.99552	+	10.3814i	0.647512	+	0.747268i	0.980684	−	0.195597i	$-0.0626646\pi$
$193$	8.99552	+	10.3814i	0.647512	+	0.747268i	−0.333172	+	0.942866i	$0.608119\pi$
$194$	2.11203	+	1.35732i	0.151635	+	0.0974499i
$195$	0.339510	−	2.36134i	0.0243128	−	0.169099i
$196$	−0.143001	+	0.994596i	−0.0102144	+	0.0710426i
$197$	1.93441	+	1.24317i	0.137821	+	0.0885721i	0.607734	−	0.794140i	$-0.292079\pi$
$197$	1.93441	+	1.24317i	0.137821	+	0.0885721i	−0.469913	+	0.882712i	$0.655715\pi$
$198$	1.44715	+	1.67010i	0.102845	+	0.118689i
$199$	−0.710624	−	1.55605i	−0.0503748	−	0.110305i	0.882771	−	0.469803i	$-0.155675\pi$
$199$	−0.710624	−	1.55605i	−0.0503748	−	0.110305i	−0.933146	+	0.359498i	$0.882948\pi$
$200$	2.12620	−	1.36642i	0.150345	−	0.0966208i
$201$	−3.13346	−	0.920068i	−0.221017	−	0.0648966i
$202$	−1.42457	+	1.64404i	−0.100232	+	0.115674i
$203$	−15.3576	+	4.50940i	−1.07789	+	0.316498i
$204$	−2.42759	+	5.31568i	−0.169965	+	0.372172i
$205$	0.699234	+	4.86328i	0.0488366	+	0.339666i
$206$	−3.49254			−0.243337
$207$		0			0
$208$	12.0729			0.837104
$209$	−2.03083	−	14.1247i	−0.140475	−	0.977028i
$210$	−0.181276	+	0.396939i	−0.0125092	+	0.0273914i
$211$	7.67876	−	2.25469i	0.528627	−	0.155219i	−0.00651840	−	0.999979i	$-0.502075\pi$
$211$	7.67876	−	2.25469i	0.528627	−	0.155219i	0.535146	+	0.844760i	$0.320257\pi$
$212$	8.56260	−	9.88176i	0.588082	−	0.678682i
$213$	−1.87921	−	0.551785i	−0.128761	−	0.0378077i
$214$	3.22412	−	2.07202i	0.220396	−	0.141640i
$215$	0.810268	+	1.77424i	0.0552598	+	0.121002i
$216$	−1.68791	−	1.94795i	−0.114848	−	0.132541i
$217$	−10.1575	−	6.52780i	−0.689533	−	0.443136i
$218$	0.505813	−	3.51801i	0.0342580	−	0.238270i
$219$	−0.297250	+	2.06742i	−0.0200863	+	0.139703i
$220$	8.34766	+	5.36472i	0.562799	+	0.361689i
$221$	−13.5307	−	15.6153i	−0.910175	−	1.05040i
$222$	−0.00178640	−	0.00391167i	−0.000119895	−	0.000262534i
$223$	23.9952	−	15.4208i	1.60683	−	1.03265i	0.643102	−	0.765780i	$-0.277647\pi$
$223$	23.9952	−	15.4208i	1.60683	−	1.03265i	0.963733	−	0.266870i	$-0.0859893\pi$
$224$	−6.67613	−	1.96029i	−0.446068	−	0.130977i
$225$	−4.91668	+	5.67415i	−0.327778	+	0.378276i
$226$	−0.262175	+	0.0769815i	−0.0174396	+	0.00512073i
$227$	3.89788	−	8.53516i	0.258711	−	0.566499i	−0.735052	−	0.678011i	$-0.762842\pi$
$227$	3.89788	−	8.53516i	0.258711	−	0.566499i	0.993763	+	0.111512i	$0.0355694\pi$
$228$	0.560577	+	3.89890i	0.0371251	+	0.258211i
$229$	6.65292			0.439637			0.219819	−	0.975541i	$-0.429453\pi$
$229$	6.65292			0.439637			0.219819	+	0.975541i	$0.429453\pi$
$230$		0			0
$231$	4.11262			0.270590
$232$	0.834405	+	5.80342i	0.0547814	+	0.381013i
$233$	−10.6509	+	23.3223i	−0.697765	+	1.52789i	0.144896	+	0.989447i	$0.453715\pi$
$233$	−10.6509	+	23.3223i	−0.697765	+	1.52789i	−0.842661	+	0.538445i	$0.819012\pi$
$234$	2.06941	−	0.607635i	0.135282	−	0.0397223i
$235$	3.38674	−	3.90850i	0.220926	−	0.254963i
$236$	−19.4341	−	5.70638i	−1.26506	−	0.371454i
$237$	−0.967685	+	0.621893i	−0.0628579	+	0.0403963i
$238$	1.57004	+	3.43790i	0.101770	+	0.222846i
$239$	1.00331	+	1.15788i	0.0648987	+	0.0748971i	0.787271	−	0.616608i	$-0.211494\pi$
$239$	1.00331	+	1.15788i	0.0648987	+	0.0748971i	−0.722372	+	0.691505i	$0.756948\pi$
$240$	−2.23605	−	1.43702i	−0.144336	−	0.0927592i
$241$	−3.97139	+	27.6217i	−0.255820	+	1.77927i	0.306024	+	0.952024i	$0.401001\pi$
$241$	−3.97139	+	27.6217i	−0.255820	+	1.77927i	−0.561844	+	0.827243i	$0.689908\pi$
$242$	−0.0126434	+	0.0879367i	−0.000812748	+	0.00565279i
$243$	9.78994	+	6.29161i	0.628025	+	0.403607i
$244$	−4.58291	−	5.28896i	−0.293391	−	0.338591i
$245$	0.324933	+	0.711504i	0.0207592	+	0.0454563i
$246$	0.309309	−	0.198781i	0.0197208	−	0.0126738i
$247$	−13.3631	−	3.92375i	−0.850272	−	0.249662i
$248$	−2.89636	+	3.34258i	−0.183919	+	0.212254i
$249$	1.35879	−	0.398977i	0.0861099	−	0.0252841i
$250$	1.14618	−	2.50979i	0.0724910	−	0.158733i
$251$	−1.60349	−	11.1526i	−0.101212	−	0.703943i	−0.975734	−	0.218958i	$-0.929734\pi$
$251$	−1.60349	−	11.1526i	−0.101212	−	0.703943i	0.874523	−	0.484985i	$-0.161175\pi$
$252$	13.7148			0.863952
$253$		0			0
$254$	2.46967			0.154961
$255$	0.647389	+	4.50269i	0.0405411	+	0.281969i
$256$	4.86510	−	10.6531i	0.304069	−	0.665818i
$257$	15.7750	−	4.63196i	0.984018	−	0.288934i	0.250136	−	0.968211i	$-0.419525\pi$
$257$	15.7750	−	4.63196i	0.984018	−	0.288934i	0.733882	+	0.679277i	$0.237706\pi$
$258$	0.0955848	−	0.110311i	0.00595085	−	0.00686765i
$259$	0.0927688	+	0.0272394i	0.00576437	+	0.00169257i
$260$	8.14715	−	5.23586i	0.505265	−	0.324714i
$261$	−7.23527	−	15.8430i	−0.447852	−	0.980659i
$262$	2.35304	+	2.71555i	0.145371	+	0.167767i
$263$	19.7679	+	12.7041i	1.21894	+	0.783365i	0.982132	−	0.188191i	$-0.0602624\pi$
$263$	19.7679	+	12.7041i	1.21894	+	0.783365i	0.236808	+	0.971556i	$0.423899\pi$
$264$	0.214395	−	1.49115i	0.0131951	−	0.0917738i
$265$	1.44853	−	10.0748i	0.0889827	−	0.618889i
$266$	2.14312	+	1.37730i	0.131403	+	0.0844477i
$267$	3.87641	+	4.47362i	0.237232	+	0.273781i
$268$	−5.50734	−	12.0594i	−0.336414	−	0.736644i
$269$	3.73676	−	2.40147i	0.227834	−	0.146420i	−0.421744	−	0.906715i	$-0.638582\pi$
$269$	3.73676	−	2.40147i	0.227834	−	0.146420i	0.649578	+	0.760295i	$0.274946\pi$
$270$	−0.948927	−	0.278630i	−0.0577498	−	0.0169569i
$271$	12.9014	−	14.8890i	0.783702	−	0.904440i	−0.213669	−	0.976906i	$-0.568541\pi$
$271$	12.9014	−	14.8890i	0.783702	−	0.904440i	0.997371	+	0.0724658i	$0.0230868\pi$
$272$	−22.0885	+	6.48576i	−1.33931	+	0.393257i
$273$	1.66741	−	3.65111i	0.100916	−	0.220975i
$274$	0.0411402	+	0.286136i	0.00248537	+	0.0172861i
$275$	−9.13961			−0.551139
$276$		0			0
$277$	−18.8580			−1.13307			−0.566535	−	0.824038i	$-0.691716\pi$
$277$	−18.8580			−1.13307			−0.566535	+	0.824038i	$0.691716\pi$
$278$	−0.0735170	−	0.511322i	−0.00440926	−	0.0306671i
$279$	5.45797	−	11.9513i	0.326760	−	0.715505i
$280$	−3.44832	+	1.01252i	−0.206077	+	0.0605096i
$281$	12.5684	−	14.5047i	0.749768	−	0.865278i	−0.244778	−	0.969579i	$-0.578715\pi$
$281$	12.5684	−	14.5047i	0.749768	−	0.865278i	0.994546	+	0.104301i	$0.0332605\pi$
$282$	−0.371337	−	0.109034i	−0.0221128	−	0.00649290i
$283$	−0.917014	+	0.589329i	−0.0545108	+	0.0350320i	−0.567612	−	0.823296i	$-0.692133\pi$
$283$	−0.917014	+	0.589329i	−0.0545108	+	0.0350320i	0.513102	+	0.858328i	$0.328496\pi$
$284$	−3.30287	−	7.23227i	−0.195989	−	0.429157i
$285$	2.00797	+	2.31732i	0.118942	+	0.137266i
$286$	2.20870	+	1.41945i	0.130603	+	0.0839337i
$287$	−1.17647	+	8.18250i	−0.0694446	+	0.482998i
$288$	1.07752	−	7.49430i	0.0634933	−	0.441606i
$289$	18.8432	+	12.1098i	1.10842	+	0.712340i
$290$	1.47321	+	1.70018i	0.0865101	+	0.0998380i
$291$	2.11203	+	4.62470i	0.123809	+	0.271105i
$292$	−7.13305	+	4.58413i	−0.417430	+	0.268266i
$293$	−13.3746	−	3.92714i	−0.781353	−	0.229426i	−0.133356	−	0.991068i	$-0.542575\pi$
$293$	−13.3746	−	3.92714i	−0.781353	−	0.229426i	−0.647998	+	0.761642i	$0.724393\pi$
$294$	0.0383314	−	0.0442368i	0.00223553	−	0.00257994i
$295$	−15.1282	+	4.44204i	−0.880799	+	0.258626i
$296$	0.0147125	−	0.0322159i	0.000855148	−	0.00187251i
$297$	1.32648	+	9.22589i	0.0769704	+	0.535341i
$298$	0.978991			0.0567114
$299$		0			0
$300$	2.52284			0.145656
$301$	0.467039	+	3.24833i	0.0269197	+	0.187231i
$302$	−0.667617	+	1.46188i	−0.0384170	+	0.0841216i
$303$	−4.22688	+	1.24112i	−0.242828	+	0.0713007i
$304$	−10.1617	+	11.7272i	−0.582812	+	0.672600i
$305$	−5.22705	−	1.53480i	−0.299300	−	0.0878824i
$306$	−3.45975	+	2.22345i	−0.197781	+	0.127106i
$307$	−10.6472	−	23.3141i	−0.607667	−	1.33061i	−0.924158	−	0.382010i	$-0.875232\pi$
$307$	−10.6472	−	23.3141i	−0.607667	−	1.33061i	0.316491	−	0.948596i	$-0.397495\pi$
$308$	10.9331	+	12.6175i	0.622972	+	0.718948i
$309$	−5.94994	−	3.82379i	−0.338480	−	0.217528i
$310$	−0.241515	+	1.67977i	−0.0137171	+	0.0954047i
$311$	0.528507	−	3.67585i	0.0299689	−	0.208438i	−0.969335	−	0.245743i	$-0.920968\pi$
$311$	0.528507	−	3.67585i	0.0299689	−	0.208438i	0.999304	+	0.0373046i	$0.0118772\pi$
$312$	−1.23689	−	0.794902i	−0.0700252	−	0.0450024i
$313$	10.3001	+	11.8870i	0.582198	+	0.671893i	0.968076	−	0.250657i	$-0.0806467\pi$
$313$	10.3001	+	11.8870i	0.582198	+	0.671893i	−0.385878	+	0.922550i	$0.626101\pi$
$314$	−0.956567	−	2.09459i	−0.0539822	−	0.118205i
$315$	8.98129	−	5.77193i	0.506039	−	0.325211i
$316$	−4.48049	−	1.31559i	−0.252047	−	0.0740077i
$317$	2.16426	−	2.49769i	0.121557	−	0.140284i	−0.691709	−	0.722176i	$-0.743142\pi$
$317$	2.16426	−	2.49769i	0.121557	−	0.140284i	0.813266	+	0.581892i	$0.197687\pi$
$318$	−0.730826	+	0.214590i	−0.0409827	+	0.0120336i
$319$	8.80765	−	19.2861i	0.493134	−	1.07981i
$320$	−1.44060	−	10.0196i	−0.0805322	−	0.560114i
$321$	7.76120			0.433188
$322$		0			0
$323$	26.5569			1.47766
$324$	1.93353	+	13.4480i	0.107419	+	0.747112i
$325$	−3.70553	+	8.11399i	−0.205546	+	0.450083i
$326$	1.36793	−	0.401660i	0.0757626	−	0.0222459i
$327$	4.71339	−	5.43954i	0.260651	−	0.300807i
$328$	2.90547	+	0.853122i	0.160428	+	0.0471058i
$329$	7.32009	−	4.70434i	0.403570	−	0.259359i
$330$	−0.240124	−	0.525799i	−0.0132184	−	0.0289443i
$331$	−5.23932	−	6.04650i	−0.287979	−	0.332346i	0.593265	−	0.805007i	$-0.297839\pi$
$331$	−5.23932	−	6.04650i	−0.287979	−	0.332346i	−0.881244	+	0.472662i	$0.843293\pi$
$332$	4.83631	+	3.10811i	0.265427	+	0.170580i
$333$	−0.0149727	+	0.104138i	−0.000820501	+	0.00570671i
$334$	−0.0592191	+	0.411878i	−0.00324032	+	0.0225369i
$335$	−8.68177	−	5.57943i	−0.474336	−	0.304837i
$336$	−2.92860	−	3.37978i	−0.159768	−	0.184382i
$337$	−0.578363	−	1.26644i	−0.0315055	−	0.0689873i	0.893225	−	0.449610i	$-0.148437\pi$
$337$	−0.578363	−	1.26644i	−0.0315055	−	0.0689873i	−0.924730	+	0.380623i	$0.875710\pi$
$338$	−0.430551	+	0.276698i	−0.0234189	+	0.0150504i
$339$	−0.530928	−	0.155895i	−0.0288360	−	0.00846703i
$340$	−12.0932	+	13.9563i	−0.655845	+	0.756885i
$341$	15.3460	−	4.50600i	0.831034	−	0.244014i
$342$	−1.15158	+	2.52160i	−0.0622702	+	0.136353i
$343$	2.72383	+	18.9446i	0.147073	+	1.02291i
$344$	1.20212			0.0648141
$345$		0			0
$346$	−2.41484			−0.129823
$347$	−2.39495	−	16.6573i	−0.128568	−	0.894209i	−0.947372	−	0.320136i	$-0.896271\pi$
$347$	−2.39495	−	16.6573i	−0.128568	−	0.894209i	0.818804	−	0.574074i	$-0.194638\pi$
$348$	−2.43121	+	5.32360i	−0.130326	+	0.285375i
$349$	18.3529	−	5.38891i	0.982410	−	0.288462i	0.249191	−	0.968454i	$-0.419835\pi$
$349$	18.3529	−	5.38891i	0.982410	−	0.288462i	0.733219	+	0.679993i	$0.238017\pi$
$350$	1.06850	−	1.23311i	0.0571135	−	0.0659125i
$351$	8.72839	+	2.56289i	0.465887	+	0.136797i
$352$	7.75365	−	4.98297i	0.413271	−	0.265593i
$353$	13.9787	+	30.6090i	0.744010	+	1.62915i	0.776844	+	0.629693i	$0.216819\pi$
$353$	13.9787	+	30.6090i	0.744010	+	1.62915i	−0.0328346	+	0.999461i	$0.510453\pi$
$354$	0.772660	+	0.891697i	0.0410664	+	0.0473932i
$355$	−5.20665	−	3.34611i	−0.276340	−	0.177593i
$356$	−3.41985	+	23.7856i	−0.181252	+	1.26063i
$357$	−1.08924	+	7.57581i	−0.0576485	+	0.400954i
$358$	−2.05015	−	1.31755i	−0.108354	−	0.0696349i
$359$	−12.8559	−	14.8365i	−0.678509	−	0.783041i	0.307174	−	0.951654i	$-0.400617\pi$
$359$	−12.8559	−	14.8365i	−0.678509	−	0.783041i	−0.985682	+	0.168613i	$0.946071\pi$
$360$	−1.62457	−	3.55732i	−0.0856225	−	0.187487i
$361$	−0.924808	+	0.594338i	−0.0486741	+	0.0312809i
$362$	2.10823	+	0.619033i	0.110806	+	0.0325357i
$363$	−0.117817	+	0.135968i	−0.00618378	+	0.00713646i
$364$	15.6343	−	4.59064i	0.819459	−	0.240615i
$365$	−2.74191	+	6.00394i	−0.143518	+	0.314260i
$366$	0.0580174	+	0.403520i	0.00303262	+	0.0210923i
$367$	−6.73062			−0.351336			−0.175668	−	0.984449i	$-0.556208\pi$
$367$	−6.73062			−0.351336			−0.175668	+	0.984449i	$0.556208\pi$
$368$		0			0
$369$	−8.99539			−0.468281
$370$	−0.00193395	−	0.0134509i	−0.000100541	−	0.000699280i
$371$	7.11406	−	15.5776i	0.369344	−	0.808750i
$372$	−4.23602	+	1.24381i	−0.219627	+	0.0644884i
$373$	16.5863	−	19.1416i	0.858808	−	0.991117i	−0.141192	−	0.989982i	$-0.545093\pi$
$373$	16.5863	−	19.1416i	0.858808	−	0.991117i	0.999999	−	0.00113459i	$-0.000361151\pi$
$374$	−4.80358	−	1.41046i	−0.248387	−	0.0729331i
$375$	4.70049	−	3.02082i	0.242732	−	0.155995i
$376$	−1.32409	−	2.89935i	−0.0682847	−	0.149523i
$377$	−13.5509	−	15.6386i	−0.697906	−	0.805427i
$378$	−1.39983	−	0.899615i	−0.0719994	−	0.0462712i
$379$	4.10682	−	28.5635i	0.210953	−	1.46721i	−0.559030	−	0.829147i	$-0.688827\pi$
$379$	4.10682	−	28.5635i	0.210953	−	1.46721i	0.769984	−	0.638064i	$-0.220264\pi$
$380$	−1.77147	+	12.3209i	−0.0908746	+	0.632047i
$381$	4.20737	+	2.70391i	0.215550	+	0.138525i
$382$	−3.17932	−	3.66913i	−0.162668	−	0.187729i
$383$	5.35696	+	11.7301i	0.273728	+	0.599381i	0.995710	−	0.0925315i	$-0.0294959\pi$
$383$	5.35696	+	11.7301i	0.273728	+	0.599381i	−0.721982	+	0.691912i	$0.756769\pi$
$384$	−2.83909	+	1.82457i	−0.144882	+	0.0931099i
$385$	12.4698	+	3.66146i	0.635519	+	0.186605i
$386$	2.12725	−	2.45498i	0.108274	−	0.124955i
$387$	−3.42638	+	1.00608i	−0.174173	+	0.0511418i
$388$	−8.57387	+	18.7742i	−0.435272	+	0.953114i
$389$	0.298358	+	2.07512i	0.0151273	+	0.105213i	0.995986	−	0.0895072i	$-0.0285292\pi$
$389$	0.298358	+	2.07512i	0.0151273	+	0.105213i	−0.980859	+	0.194720i	$0.937620\pi$
$390$	−0.564150			−0.0285669
$391$		0			0
$392$	0.482074			0.0243484
$393$	1.03556	+	7.20247i	0.0522370	+	0.363316i
$394$	0.225889	−	0.494629i	0.0113801	−	0.0249190i
$395$	−3.48777	+	1.02410i	−0.175489	+	0.0515281i
$396$	−11.8969	+	13.7298i	−0.597843	+	0.689948i
$397$	−1.80289	−	0.529377i	−0.0904846	−	0.0265687i	0.236177	−	0.971710i	$-0.424106\pi$
$397$	−1.80289	−	0.529377i	−0.0904846	−	0.0265687i	−0.326661	+	0.945141i	$0.605924\pi$
$398$	−0.340312	+	0.218705i	−0.0170583	+	0.0109627i
$399$	2.14312	+	4.69278i	0.107290	+	0.234933i
$400$	6.50832	+	7.51101i	0.325416	+	0.375550i
$401$	−14.1790	−	9.11231i	−0.708067	−	0.455047i	0.136400	−	0.990654i	$-0.456447\pi$
$401$	−14.1790	−	9.11231i	−0.708067	−	0.455047i	−0.844468	+	0.535607i	$0.820083\pi$
$402$	−0.109907	+	0.764420i	−0.00548166	+	0.0381258i
$403$	2.22150	−	15.4508i	0.110661	−	0.769661i
$404$	−15.0446	−	9.66860i	−0.748498	−	0.481031i
$405$	6.92584	+	7.99285i	0.344148	+	0.397168i
$406$	1.57238	+	3.44302i	0.0780357	+	0.170874i
$407$	−0.107741	+	0.0692413i	−0.00534055	+	0.00343216i
$408$	2.69004	+	0.789868i	0.133177	+	0.0391043i
$409$	−8.51949	+	9.83201i	−0.421261	+	0.486162i	−0.926221	−	0.376982i	$-0.876962\pi$
$409$	−8.51949	+	9.83201i	−0.421261	+	0.486162i	0.504959	+	0.863143i	$0.331507\pi$
$410$	1.11482	−	0.327342i	0.0550572	−	0.0161663i
$411$	−0.243189	+	0.532509i	−0.0119956	+	0.0262667i
$412$	−4.08613	−	28.4197i	−0.201309	−	1.40014i
$413$	−26.5279			−1.30535
$414$		0			0
$415$	4.47517			0.219677
$416$	−1.28018	−	8.90383i	−0.0627659	−	0.436546i
$417$	0.434575	−	0.951587i	0.0212812	−	0.0465994i
$418$	−3.23786	+	0.950721i	−0.158369	+	0.0465013i
$419$	−19.2599	+	22.2271i	−0.940907	+	1.08586i	0.0552671	+	0.998472i	$0.482399\pi$
$419$	−19.2599	+	22.2271i	−0.940907	+	1.08586i	−0.996174	+	0.0873928i	$0.972146\pi$
$420$	−3.44208	−	1.01069i	−0.167956	−	0.0493164i
$421$	−18.7577	+	12.0548i	−0.914192	+	0.587516i	−0.910967	−	0.412479i	$-0.864663\pi$
$421$	−18.7577	+	12.0548i	−0.914192	+	0.587516i	−0.00322504	+	0.999995i	$0.501027\pi$
$422$	−0.786183	−	1.72150i	−0.0382708	−	0.0838013i
$423$	6.20054	+	7.15581i	0.301481	+	0.347927i
$424$	−5.27725	−	3.39148i	−0.256286	−	0.164705i
$425$	2.42065	−	16.8360i	0.117419	−	0.816665i
$426$	−0.0659136	+	0.458439i	−0.00319353	+	0.0222115i
$427$	−7.71078	−	4.95542i	−0.373151	−	0.239809i
$428$	20.6326	+	23.8113i	0.997316	+	1.15096i
$429$	2.20870	+	4.83639i	0.106637	+	0.233503i
$430$	0.388030	−	0.249372i	0.0187125	−	0.0120258i
$431$	−1.69018	−	0.496283i	−0.0814133	−	0.0239051i	0.240772	−	0.970582i	$-0.422599\pi$
$431$	−1.69018	−	0.496283i	−0.0814133	−	0.0239051i	−0.322186	+	0.946677i	$0.604418\pi$
$432$	6.63732	−	7.65988i	0.319338	−	0.368536i
$433$	13.2398	−	3.88756i	0.636265	−	0.186824i	0.0523366	−	0.998629i	$-0.483333\pi$
$433$	13.2398	−	3.88756i	0.636265	−	0.186824i	0.583928	+	0.811805i	$0.301515\pi$
$434$	−1.18613	+	2.59727i	−0.0569361	+	0.124673i
$435$	0.648354	+	4.50940i	0.0310862	+	0.216209i
$436$	29.2187			1.39932
$437$		0			0
$438$	0.493928			0.0236008
$439$	−1.02303	−	7.11532i	−0.0488265	−	0.339596i	−0.999562	−	0.0295926i	$-0.990579\pi$
$439$	−1.02303	−	7.11532i	−0.0488265	−	0.339596i	0.950736	−	0.310003i	$-0.100330\pi$
$440$	1.97763	−	4.33040i	0.0942797	−	0.206444i
$441$	−1.37405	+	0.403457i	−0.0654308	+	0.0192122i
$442$	−3.19973	+	3.69269i	−0.152196	+	0.175643i
$443$	22.4440	+	6.59015i	1.06635	+	0.313108i	0.767404	−	0.641164i	$-0.221548\pi$
$443$	22.4440	+	6.59015i	1.06635	+	0.313108i	0.298942	+	0.954271i	$0.403366\pi$
$444$	0.0297403	−	0.0191129i	0.00141141	−	0.000907059i
$445$	7.77073	+	17.0155i	0.368368	+	0.806613i
$446$	−4.41711	−	5.09762i	−0.209156	−	0.241379i
$447$	1.66782	+	1.07185i	0.0788854	+	0.0506966i
$448$	2.42383	−	16.8581i	0.114515	−	0.796470i
$449$	−0.960988	+	6.68382i	−0.0453518	+	0.315429i	0.954500	+	0.298211i	$0.0963900\pi$
$449$	−0.960988	+	6.68382i	−0.0453518	+	0.315429i	−0.999852	+	0.0172178i	$0.994519\pi$
$450$	1.49363	+	0.959895i	0.0704102	+	0.0452499i
$451$	−7.17091	−	8.27567i	−0.337665	−	0.389686i
$452$	−0.933152	−	2.04332i	−0.0438918	−	0.0961096i
$453$	−2.73789	+	1.75954i	−0.128637	+	0.0826703i
$454$	−2.12902	−	0.625137i	−0.0999200	−	0.0293392i
$455$	8.30629	−	9.58597i	0.389405	−	0.449397i
$456$	1.81322	−	0.532411i	0.0849120	−	0.0249324i
$457$	−3.00132	+	6.57197i	−0.140396	+	0.307424i	−0.966748	−	0.255729i	$-0.917685\pi$
$457$	−3.00132	+	6.57197i	−0.140396	+	0.307424i	0.826353	+	0.563153i	$0.190412\pi$
$458$	−0.223900	−	1.55726i	−0.0104622	−	0.0727660i
$459$	−17.3462			−0.809653
$460$		0			0
$461$	−32.1800			−1.49877			−0.749385	−	0.662134i	$-0.769651\pi$
$461$	−32.1800			−1.49877			−0.749385	+	0.662134i	$0.769651\pi$
$462$	−0.138408	−	0.962648i	−0.00643932	−	0.0447864i
$463$	−7.79908	+	17.0776i	−0.362454	+	0.793663i	0.637281	+	0.770632i	$0.280059\pi$
$463$	−7.79908	+	17.0776i	−0.362454	+	0.793663i	−0.999735	+	0.0230316i	$0.992668\pi$
$464$	−22.1214	+	6.49542i	−1.02696	+	0.301542i
$465$	−2.25054	+	2.59727i	−0.104366	+	0.120445i
$466$	5.81754	+	1.70818i	0.269492	+	0.0791300i
$467$	−23.9547	+	15.3948i	−1.10849	+	0.712384i	−0.960964	−	0.276673i	$-0.910768\pi$
$467$	−23.9547	+	15.3948i	−1.10849	+	0.712384i	−0.147528	+	0.989058i	$0.547132\pi$
$468$	7.36562	+	16.1285i	0.340476	+	0.745538i
$469$	−11.3707	−	13.1225i	−0.525050	−	0.605940i
$470$	−1.02885	−	0.661202i	−0.0474573	−	0.0304990i
$471$	0.663633	−	4.61567i	0.0305786	−	0.212679i
$472$	−1.38292	+	9.61844i	−0.0636542	+	0.442725i
$473$	−3.65701	−	2.35022i	−0.168150	−	0.108063i
$474$	0.178135	+	0.205578i	0.00818199	+	0.00944252i
$475$	−4.76273	−	10.4289i	−0.218529	−	0.478512i
$476$	−26.1382	+	16.7980i	−1.19804	+	0.769935i
$477$	17.8800	+	5.25005i	0.818671	+	0.240383i
$478$	0.237261	−	0.273814i	0.0108521	−	0.0125240i
$479$	4.53596	−	1.33188i	0.207253	−	0.0608551i	−0.176458	−	0.984308i	$-0.556464\pi$
$479$	4.53596	−	1.33188i	0.207253	−	0.0608551i	0.383711	+	0.923453i	$0.374646\pi$
$480$	−0.822707	+	1.80148i	−0.0375513	+	0.0822258i
$481$	0.0177888	+	0.123724i	0.000811101	+	0.00564133i
$482$	6.59911			0.300581
$483$		0			0
$484$	−0.730356			−0.0331980
$485$	2.28648	+	15.9028i	0.103824	+	0.722109i
$486$	1.14321	−	2.50329i	0.0518573	−	0.113552i
$487$	−30.3933	+	8.92428i	−1.37725	+	0.404398i	−0.884812	−	0.465948i	$-0.845713\pi$
$487$	−30.3933	+	8.92428i	−1.37725	+	0.404398i	−0.492441	+	0.870346i	$0.663895\pi$
$488$	−2.19870	+	2.53743i	−0.0995304	+	0.114864i
$489$	2.77018	+	0.813399i	0.125272	+	0.0367832i
$490$	0.155608	−	0.100003i	0.00702964	−	0.00451767i
$491$	−2.99049	−	6.54825i	−0.134959	−	0.295519i	0.830071	−	0.557657i	$-0.188300\pi$
$491$	−2.99049	−	6.54825i	−0.134959	−	0.295519i	−0.965030	+	0.262138i	$0.915572\pi$
$492$	1.97941	+	2.28436i	0.0892388	+	0.102987i
$493$	33.1939	+	21.3324i	1.49498	+	0.960764i
$494$	−0.468713	+	3.25997i	−0.0210884	+	0.146673i
$495$	−2.01260	+	13.9980i	−0.0904598	+	0.629162i
$496$	−14.6310	−	9.40277i	−0.656951	−	0.422197i
$497$	−6.81926	−	7.86984i	−0.305885	−	0.353011i
$498$	−0.139119	−	0.304627i	−0.00623406	−	0.0136507i
$499$	−19.1749	+	12.3230i	−0.858388	+	0.551652i	−0.894180	−	0.447707i	$-0.852241\pi$
$499$	−19.1749	+	12.3230i	−0.858388	+	0.551652i	0.0357926	+	0.999359i	$0.488604\pi$
$500$	21.7638	+	6.39043i	0.973307	+	0.285789i
$501$	−0.551830	+	0.636845i	−0.0246539	+	0.0284521i
$502$	−2.55653	+	0.750666i	−0.114104	+	0.0335039i
$503$	10.1483	−	22.2217i	0.452491	−	0.990818i	−0.536644	−	0.843809i	$-0.680308\pi$
$503$	10.1483	−	22.2217i	0.452491	−	0.990818i	0.989135	−	0.147009i	$-0.0469647\pi$
$504$	−0.936406	−	6.51285i	−0.0417108	−	0.290105i
$505$	−13.9212			−0.619485
$506$		0			0
$507$	−1.03644			−0.0460297
$508$	2.88942	+	20.0963i	0.128197	+	0.891631i
$509$	−3.25280	+	7.12264i	−0.144178	+	0.315706i	−0.967920	−	0.251259i	$-0.919155\pi$
$509$	−3.25280	+	7.12264i	−0.144178	+	0.315706i	0.823742	+	0.566965i	$0.191883\pi$
$510$	1.03217	−	0.303071i	0.0457050	−	0.0134202i
$511$	−7.27237	+	8.39277i	−0.321711	+	0.371274i
$512$	−16.1808	−	4.75110i	−0.715095	−	0.209971i
$513$	−9.83613	+	6.32130i	−0.434276	+	0.279092i
$514$	−1.61511	−	3.53660i	−0.0712395	−	0.155993i
$515$	−14.6364	−	16.8913i	−0.644955	−	0.744318i
$516$	1.00946	+	0.648739i	0.0444389	+	0.0285592i
$517$	−1.64035	+	11.4089i	−0.0721424	+	0.501762i
$518$	0.00325389	−	0.0226313i	0.000142968	−	0.000994361i
$519$	−4.11396	−	2.64388i	−0.180583	−	0.116054i
$520$	−3.04265	−	3.51141i	−0.133429	−	0.153985i
$521$	−1.26024	−	2.75953i	−0.0552119	−	0.120897i	0.880015	−	0.474945i	$-0.157532\pi$
$521$	−1.26024	−	2.75953i	−0.0552119	−	0.120897i	−0.935227	+	0.354048i	$0.884805\pi$
$522$	−3.46491	+	2.22676i	−0.151655	+	0.0974628i
$523$	28.4478	+	8.35301i	1.24393	+	0.365252i	0.836492	−	0.547979i	$-0.184603\pi$
$523$	28.4478	+	8.35301i	1.24393	+	0.365252i	0.407442	+	0.913231i	$0.366421\pi$
$524$	−19.3442	+	22.3243i	−0.845053	+	0.975244i
$525$	3.17037	−	0.930906i	0.138366	−	0.0406281i
$526$	2.30838	−	5.05466i	0.100650	−	0.220393i
$527$	4.23602	+	29.4622i	0.184524	+	1.28339i
$528$	5.92389			0.257804
$529$		0			0
$530$	−2.40697			−0.104552
$531$	−4.10813	−	28.5727i	−0.178278	−	1.23995i
$532$	−8.70008	+	19.0505i	−0.377196	+	0.825944i
$533$	−10.2543	+	3.01095i	−0.444165	+	0.130419i
$534$	0.916689	−	1.05792i	0.0396690	−	0.0457805i
$535$	23.5326	+	6.90979i	1.01740	+	0.298736i
$536$	−5.35070	+	3.43868i	−0.231115	+	0.148529i
$537$	−2.05015	−	4.48921i	−0.0884707	−	0.193724i
$538$	−0.687874	−	0.793849i	−0.0296564	−	0.0342253i
$539$	−1.46653	−	0.942483i	−0.0631680	−	0.0405956i
$540$	1.15708	−	8.04765i	0.0497927	−	0.346316i
$541$	−3.38208	+	23.5229i	−0.145407	+	1.01133i	0.778208	+	0.628007i	$0.216129\pi$
$541$	−3.38208	+	23.5229i	−0.145407	+	1.01133i	−0.923615	+	0.383321i	$0.874780\pi$
$542$	−3.91928	−	2.51877i	−0.168347	−	0.108190i
$543$	2.91387	+	3.36279i	0.125046	+	0.144311i
$544$	7.12549	+	15.6027i	0.305503	+	0.668958i
$545$	19.1342	−	12.2968i	0.819619	−	0.526737i
$546$	−0.910738	−	0.267417i	−0.0389760	−	0.0114444i
$547$	12.5164	−	14.4447i	0.535161	−	0.617609i	−0.422200	−	0.906503i	$-0.638742\pi$
$547$	12.5164	−	14.4447i	0.535161	−	0.617609i	0.957361	+	0.288894i	$0.0932874\pi$
$548$	−2.28023	+	0.669537i	−0.0974068	+	0.0286012i
$549$	4.14328	−	9.07253i	0.176831	−	0.387206i
$550$	0.307589	+	2.13933i	0.0131156	+	0.0912212i
$551$	26.5965			1.13305
$552$		0			0
$553$	−6.11593			−0.260076
$554$	0.634657	+	4.41413i	0.0269640	+	0.187539i
$555$	0.0114320	−	0.0250326i	0.000485261	−	0.00106257i
$556$	4.07475	−	1.19645i	0.172808	−	0.0507410i
$557$	−12.8521	+	14.8322i	−0.544563	+	0.628459i	−0.959608	−	0.281342i	$-0.909221\pi$
$557$	−12.8521	+	14.8322i	−0.544563	+	0.628459i	0.415045	+	0.909801i	$0.363766\pi$
$558$	−2.98115	−	0.875344i	−0.126202	−	0.0370563i
$559$	−3.56917	+	2.29377i	−0.150960	+	0.0970160i
$560$	−5.87072	−	12.8551i	−0.248083	−	0.543227i
$561$	−6.63922	−	7.66207i	−0.280308	−	0.323493i
$562$	−3.81813	−	2.45376i	−0.161058	−	0.103506i
$563$	6.35856	−	44.2247i	0.267981	−	1.86385i	−0.199568	−	0.979884i	$-0.563954\pi$
$563$	6.35856	−	44.2247i	0.267981	−	1.86385i	0.467549	−	0.883967i	$-0.345137\pi$
$564$	0.452791	−	3.14923i	0.0190659	−	0.132607i
$565$	−1.47102	−	0.945369i	−0.0618864	−	0.0397720i
$566$	0.168807	+	0.194814i	0.00709549	+	0.00818863i
$567$	7.39201	+	16.1862i	0.310435	+	0.679758i
$568$	−3.20893	+	2.06225i	−0.134644	+	0.0865303i
$569$	3.97732	+	1.16785i	0.166738	+	0.0489587i	0.364036	−	0.931385i	$-0.381399\pi$
$569$	3.97732	+	1.16785i	0.166738	+	0.0489587i	−0.197298	+	0.980344i	$0.563217\pi$
$570$	0.474842	−	0.547996i	0.0198889	−	0.0229530i
$571$	−12.8459	+	3.77191i	−0.537586	+	0.157849i	−0.539245	−	0.842149i	$-0.681290\pi$
$571$	−12.8459	+	3.77191i	−0.537586	+	0.157849i	0.00165877	+	0.999999i	$0.499472\pi$
$572$	−8.96632	+	19.6335i	−0.374901	+	0.820918i
$573$	−1.39920	−	9.73165i	−0.0584524	−	0.406546i
$574$	1.95489			0.0815954
$575$		0			0
$576$	18.5329			0.772203
$577$	−3.33416	−	23.1896i	−0.138803	−	0.965394i	−0.933548	−	0.358452i	$-0.883305\pi$
$577$	−3.33416	−	23.1896i	−0.138803	−	0.965394i	0.794746	−	0.606943i	$-0.207604\pi$
$578$	2.20040	−	4.81821i	0.0915247	−	0.200411i
$579$	6.31184	−	1.85332i	0.262311	−	0.0770215i
$580$	−12.1112	+	13.9771i	−0.502890	+	0.580366i
$581$	7.22451	+	2.12131i	0.299723	+	0.0880066i
$582$	1.01143	−	0.650009i	0.0419253	−	0.0269437i
$583$	9.42353	+	20.6347i	0.390283	+	0.854600i
$584$	2.66392	+	3.07433i	0.110234	+	0.127217i
$585$	11.6112	+	7.46205i	0.480063	+	0.308518i
$586$	−0.469118	+	3.26279i	−0.0193791	+	0.134784i
$587$	5.70196	−	39.6580i	0.235345	−	1.63686i	−0.439029	−	0.898473i	$-0.644678\pi$
$587$	5.70196	−	39.6580i	0.235345	−	1.63686i	0.674375	−	0.738389i	$-0.264413\pi$
$588$	0.404812	+	0.260157i	0.0166942	+	0.0107287i
$589$	13.1386	+	15.1628i	0.541367	+	0.624771i
$590$	1.54889	+	3.39159i	0.0637668	+	0.139630i
$591$	0.926372	−	0.595343i	0.0381059	−	0.0244891i
$592$	0.133626	+	0.0392361i	0.00549199	+	0.00161259i
$593$	−3.82517	+	4.41448i	−0.157081	+	0.181281i	−0.828835	−	0.559493i	$-0.810996\pi$
$593$	−3.82517	+	4.41448i	−0.157081	+	0.181281i	0.671754	+	0.740774i	$0.265541\pi$
$594$	2.11488	−	0.620985i	0.0867746	−	0.0254793i
$595$	−10.0474	+	22.0007i	−0.411902	+	0.901940i
$596$	1.14538	+	7.96630i	0.0469167	+	0.326312i
$597$	−0.819209			−0.0335280
$598$		0			0
$599$	−5.01179			−0.204776			−0.102388	−	0.994745i	$-0.532648\pi$
$599$	−5.01179			−0.204776			−0.102388	+	0.994745i	$0.532648\pi$
$600$	−0.172252	−	1.19804i	−0.00703216	−	0.0489097i
$601$	5.29349	−	11.5911i	0.215926	−	0.472812i	−0.770412	−	0.637546i	$-0.779949\pi$
$601$	5.29349	−	11.5911i	0.215926	−	0.472812i	0.986338	+	0.164734i	$0.0526767\pi$
$602$	0.744625	−	0.218641i	0.0303486	−	0.00891116i
$603$	12.3731	−	14.2793i	0.503871	−	0.581499i
$604$	−12.6768	−	3.72223i	−0.515810	−	0.151455i
$605$	−0.478282	+	0.307373i	−0.0194449	+	0.0124965i
$606$	0.432766	+	0.947624i	0.0175799	+	0.0384946i
$607$	0.404746	+	0.467102i	0.0164282	+	0.0189591i	0.763904	−	0.645330i	$-0.223280\pi$
$607$	0.404746	+	0.467102i	0.0164282	+	0.0189591i	−0.747476	+	0.664289i	$0.768735\pi$
$608$	9.72640	+	6.25078i	0.394458	+	0.253503i
$609$	−1.09086	+	7.58710i	−0.0442039	+	0.307445i
$610$	−0.183340	+	1.27516i	−0.00742322	+	0.0516296i
$611$	9.46354	+	6.08185i	0.382854	+	0.246045i
$612$	−22.1406	−	25.5516i	−0.894979	−	1.03286i
$613$	−13.2131	−	28.9326i	−0.533672	−	1.16858i	−0.963999	−	0.265905i	$-0.914329\pi$
$613$	−13.2131	−	28.9326i	−0.533672	−	1.16858i	0.430327	−	0.902673i	$-0.358398\pi$
$614$	−5.09885	+	3.27683i	−0.205773	+	0.132242i
$615$	2.25762	+	0.662897i	0.0910361	+	0.0267306i
$616$	5.24527	−	6.05337i	0.211338	−	0.243897i
$617$	38.3561	−	11.2624i	1.54416	−	0.453406i	0.604811	−	0.796369i	$-0.293249\pi$
$617$	38.3561	−	11.2624i	1.54416	−	0.453406i	0.939349	+	0.342963i	$0.111430\pi$
$618$	−0.694801	+	1.52140i	−0.0279490	+	0.0611997i
$619$	−5.00003	−	34.7760i	−0.200968	−	1.39776i	−0.801420	−	0.598103i	$-0.795922\pi$
$619$	−5.00003	−	34.7760i	−0.200968	−	1.39776i	0.600451	−	0.799661i	$-0.294988\pi$
$620$	−13.9513			−0.560298
$621$		0			0
$622$	−0.878199			−0.0352126
$623$	4.47906	+	31.1525i	0.179450	+	1.24810i
$624$	2.40176	−	5.25913i	0.0961475	−	0.210534i
$625$	3.94147	−	1.15732i	0.157659	−	0.0462928i
$626$	2.43577	−	2.81102i	0.0973528	−	0.112351i
$627$	−6.55696	−	1.92530i	−0.261860	−	0.0768889i
$628$	15.9251	−	10.2344i	0.635479	−	0.408398i
$629$	−0.0990129	−	0.216808i	−0.00394790	−	0.00864470i
$630$	−1.65331	−	1.90802i	−0.0658693	−	0.0760172i
$631$	−39.7262	−	25.5305i	−1.58148	−	1.01635i	−0.975262	−	0.221052i	$-0.929051\pi$
$631$	−39.7262	−	25.5305i	−1.58148	−	1.01635i	−0.606214	−	0.795301i	$-0.707313\pi$
$632$	−0.318829	+	2.21750i	−0.0126823	+	0.0882076i
$633$	0.545427	−	3.79353i	0.0216788	−	0.150779i
$634$	−0.657476	−	0.422534i	−0.0261117	−	0.0167810i
$635$	10.3498	+	11.9443i	0.410718	+	0.473994i
$636$	−2.60121	−	5.69586i	−0.103145	−	0.225856i
$637$	−1.43131	+	0.919845i	−0.0567104	+	0.0364456i
$638$	−4.81074	−	1.41256i	−0.190459	−	0.0559238i
$639$	7.42041	−	8.56362i	0.293547	−	0.338771i
$640$	−10.2328	+	3.00461i	−0.404485	+	0.118768i
$641$	−2.87062	+	6.28577i	−0.113382	+	0.248273i	−0.957813	−	0.287392i	$-0.907212\pi$
$641$	−2.87062	+	6.28577i	−0.113382	+	0.248273i	0.844431	+	0.535665i	$0.179939\pi$
$642$	−0.261199	−	1.81668i	−0.0103087	−	0.0716986i
$643$	−38.9219			−1.53493			−0.767465	−	0.641091i	$-0.778482\pi$
$643$	−38.9219			−1.53493			−0.767465	+	0.641091i	$0.778482\pi$
$644$		0			0
$645$	0.934078			0.0367793
$646$	−0.893757	−	6.21622i	−0.0351644	−	0.244574i
$647$	4.84099	−	10.6003i	0.190319	−	0.416741i	−0.790285	−	0.612739i	$-0.790068\pi$
$647$	4.84099	−	10.6003i	0.190319	−	0.416741i	0.980604	+	0.195999i	$0.0627948\pi$
$648$	6.25414	−	1.83638i	0.245686	−	0.0721398i
$649$	23.0117	−	26.5569i	0.903286	−	1.04245i
$650$	2.02396	+	0.594290i	0.0793864	+	0.0233100i
$651$	−4.86432	+	3.12611i	−0.190648	+	0.122522i
$652$	4.86884	+	10.6613i	0.190678	+	0.417527i
$653$	25.8359	+	29.8162i	1.01104	+	1.16680i	0.985938	+	0.167112i	$0.0534442\pi$
$653$	25.8359	+	29.8162i	1.01104	+	1.16680i	0.0250976	+	0.999685i	$0.492010\pi$
$654$	−1.43187	−	0.920208i	−0.0559906	−	0.0359830i
$655$	−3.27245	+	22.7604i	−0.127865	+	0.889322i
$656$	−1.69460	+	11.7862i	−0.0661631	+	0.460175i
$657$	−10.1659	−	6.53322i	−0.396609	−	0.254885i
$658$	−1.34751	−	1.55511i	−0.0525313	−	0.0606243i
$659$	0.309947	+	0.678690i	0.0120738	+	0.0264380i	0.915573	−	0.402152i	$-0.131738\pi$
$659$	0.309947	+	0.678690i	0.0120738	+	0.0264380i	−0.903499	+	0.428590i	$0.859010\pi$
$660$	3.99762	−	2.56912i	0.155607	−	0.100003i
$661$	−28.0196	−	8.22730i	−1.08984	−	0.320005i	−0.313029	−	0.949743i	$-0.601344\pi$
$661$	−28.0196	−	8.22730i	−1.08984	−	0.320005i	−0.776807	+	0.629739i	$0.783162\pi$
$662$	−1.23899	+	1.42987i	−0.0481547	+	0.0555734i
$663$	−9.49404	+	2.78770i	−0.368718	+	0.108265i
$664$	1.14576	−	2.50887i	0.0444641	−	0.0973629i
$665$	2.32013	+	16.1369i	0.0899710	+	0.625762i
$666$	0.0248796			0.000964065
$667$		0			0
$668$	−3.42084			−0.132356
$669$	−1.94395	−	13.5204i	−0.0751573	−	0.522730i
$670$	−1.01381	+	2.21993i	−0.0391668	+	0.0857634i
$671$	11.6496	−	3.42062i	0.449726	−	0.132052i
$672$	−2.18207	+	2.51825i	−0.0841753	+	0.0971434i
$673$	−16.0572	−	4.71481i	−0.618958	−	0.181743i	−0.0428041	−	0.999083i	$-0.513629\pi$
$673$	−16.0572	−	4.71481i	−0.618958	−	0.181743i	−0.576154	+	0.817341i	$0.695447\pi$
$674$	−0.276973	+	0.178000i	−0.0106686	+	0.00685630i
$675$	3.11088	+	6.81189i	0.119738	+	0.262190i
$676$	−2.75529	−	3.17978i	−0.105973	−	0.122299i
$677$	−38.0491	−	24.4527i	−1.46235	−	0.939793i	−0.998549	−	0.0538511i	$-0.982850\pi$
$677$	−38.0491	−	24.4527i	−1.46235	−	0.939793i	−0.463797	−	0.885942i	$-0.653513\pi$
$678$	−0.0186224	+	0.129522i	−0.000715190	+	0.00497426i
$679$	−3.84702	+	26.7566i	−0.147635	+	1.02682i
$680$	7.45320	+	4.78988i	0.285817	+	0.183684i
$681$	−2.94261	−	3.39595i	−0.112761	−	0.130133i
$682$	−1.57119	−	3.44043i	−0.0601640	−	0.131741i
$683$	29.2790	−	18.8165i	1.12033	−	0.719993i	0.156811	−	0.987629i	$-0.449879\pi$
$683$	29.2790	−	18.8165i	1.12033	−	0.719993i	0.963520	+	0.267635i	$0.0862423\pi$
$684$	−21.8662	−	6.42050i	−0.836076	−	0.245494i
$685$	−1.21146	+	1.39810i	−0.0462875	+	0.0534186i
$686$	4.34274	−	1.27514i	0.165806	−	0.0486852i
$687$	1.32352	−	2.89811i	0.0504955	−	0.110570i
$688$	0.672732	+	4.67895i	0.0256477	+	0.178383i
$689$	22.1397			0.843457
$690$		0			0
$691$	10.7550			0.409140			0.204570	−	0.978852i	$-0.434420\pi$
$691$	10.7550			0.409140			0.204570	+	0.978852i	$0.434420\pi$
$692$	−2.82527	−	19.6502i	−0.107401	−	0.746988i
$693$	−9.88433	+	21.6437i	−0.375475	+	0.822175i
$694$	−3.81840	+	1.12118i	−0.144944	+	0.0425595i
$695$	2.16486	−	2.49838i	0.0821179	−	0.0947691i
$696$	2.69405	+	0.791045i	0.102118	+	0.0299845i
$697$	17.1437	−	11.0176i	0.649366	−	0.417322i
$698$	−1.87905	−	4.11455i	−0.0711231	−	0.155738i
$699$	8.04064	+	9.27940i	0.304125	+	0.350979i
$700$	11.2842	+	7.25194i	0.426504	+	0.274097i
$701$	−2.88330	+	20.0538i	−0.108901	+	0.757421i	0.860058	+	0.510197i	$0.170428\pi$
$701$	−2.88330	+	20.0538i	−0.108901	+	0.757421i	−0.968958	+	0.247224i	$0.920482\pi$
$702$	0.306151	−	2.12932i	0.0115549	−	0.0803661i
$703$	−0.135154	−	0.0868582i	−0.00509743	−	0.00327592i
$704$	14.7739	+	17.0500i	0.556814	+	0.642598i
$705$	−1.02885	−	2.25287i	−0.0387487	−	0.0848479i
$706$	6.69427	−	4.30214i	0.251942	−	0.161913i
$707$	−22.4737	−	6.59889i	−0.845212	−	0.248177i
$708$	−6.35199	+	7.33059i	−0.238722	+	0.275500i
$709$	−12.6191	+	3.70531i	−0.473922	+	0.139156i	−0.509967	−	0.860194i	$-0.670342\pi$
$709$	−12.6191	+	3.70531i	−0.473922	+	0.139156i	0.0360448	+	0.999350i	$0.488524\pi$
$710$	−0.608003	+	1.33134i	−0.0228179	+	0.0499643i
$711$	−0.947117	−	6.58735i	−0.0355197	−	0.247045i
$712$	11.5287			0.432057
$713$		0			0
$714$	1.80994			0.0677353
$715$	2.39114	+	16.6307i	0.0894234	+	0.621954i
$716$	8.32268	−	18.2241i	0.311033	−	0.681068i
$717$	0.703987	−	0.206709i	0.0262909	−	0.00771970i
$718$	−3.04015	+	3.50852i	−0.113457	+	0.130937i
$719$	27.5764	+	8.09716i	1.02843	+	0.301973i	0.752071	−	0.659082i	$-0.229055\pi$
$719$	27.5764	+	8.09716i	1.02843	+	0.301973i	0.276355	+	0.961056i	$0.410873\pi$
$720$	12.9368	−	8.31399i	0.482127	−	0.309844i
$721$	−15.6215	−	34.2064i	−0.581776	−	1.27391i
$722$	0.170242	+	0.196469i	0.00633574	+	0.00731183i
$723$	11.2423	+	7.22501i	0.418107	+	0.268701i
$724$	−2.57068	+	17.8795i	−0.0955387	+	0.664486i
$725$	2.42425	−	16.8611i	0.0900345	−	0.626204i
$726$	0.0357913	+	0.0230017i	0.00132834	+	0.000853672i
$727$	−18.2371	−	21.0467i	−0.676376	−	0.780579i	0.308984	−	0.951067i	$-0.400011\pi$
$727$	−18.2371	−	21.0467i	−0.676376	−	0.780579i	−0.985360	+	0.170488i	$0.945466\pi$
$728$	−3.24745	−	7.11092i	−0.120358	−	0.263548i
$729$	−12.9491	+	8.32191i	−0.479598	+	0.308219i
$730$	1.49763	+	0.439744i	0.0554298	+	0.0162756i
$731$	5.29788	−	6.11408i	0.195949	−	0.226137i
$732$	−3.21567	+	0.944206i	−0.118855	+	0.0348988i
$733$	10.3915	−	22.7542i	0.383818	−	0.840445i	−0.614840	−	0.788652i	$-0.710779\pi$
$733$	10.3915	−	22.7542i	0.383818	−	0.840445i	0.998658	−	0.0517927i	$-0.0164935\pi$
$734$	0.226515	+	1.57545i	0.00836084	+	0.0581509i
$735$	0.374584			0.0138167
$736$		0			0
$737$	23.0003			0.847229
$738$	0.302735	+	2.10557i	0.0111438	+	0.0775070i
$739$	2.65383	−	5.81107i	0.0976226	−	0.213764i	−0.854520	−	0.519419i	$-0.826148\pi$
$739$	2.65383	−	5.81107i	0.0976226	−	0.213764i	0.952142	+	0.305656i	$0.0988756\pi$
$740$	0.107191	−	0.0314741i	0.00394042	−	0.00115701i
$741$	−4.36768	+	5.04057i	−0.160451	+	0.185170i
$742$	−3.88570	−	1.14095i	−0.142649	−	0.0418854i
$743$	24.3287	−	15.6351i	0.892534	−	0.573597i	−0.0120334	−	0.999928i	$-0.503830\pi$
$743$	24.3287	−	15.6351i	0.892534	−	0.573597i	0.904567	+	0.426331i	$0.140194\pi$
$744$	0.879879	+	1.92667i	0.0322579	+	0.0706350i
$745$	4.10271	+	4.73478i	0.150312	+	0.173469i
$746$	−5.03872	−	3.23819i	−0.184481	−	0.118559i
$747$	−1.16602	+	8.10988i	−0.0426626	+	0.296725i
$748$	5.85726	−	40.7382i	0.214163	−	1.48954i
$749$	34.7145	+	22.3097i	1.26844	+	0.815178i
$750$	−0.865282	−	0.998589i	−0.0315956	−	0.0364633i
$751$	20.8826	+	45.7264i	0.762016	+	1.66858i	0.743484	+	0.668753i	$0.233172\pi$
$751$	20.8826	+	45.7264i	0.762016	+	1.66858i	0.0185315	+	0.999828i	$0.494101\pi$
$752$	10.5440	−	6.77621i	0.384500	−	0.247103i
$753$	−5.17722	−	1.52017i	−0.188668	−	0.0553980i
$754$	−3.20450	+	3.69819i	−0.116701	+	0.134680i
$755$	−9.86802	+	2.89751i	−0.359134	+	0.105451i
$756$	5.68265	−	12.4433i	0.206676	−	0.452558i
$757$	5.00587	+	34.8166i	0.181941	+	1.26543i	0.852166	+	0.523272i	$0.175289\pi$
$757$	5.00587	+	34.8166i	0.181941	+	1.26543i	−0.670224	+	0.742159i	$0.733802\pi$
$758$	−6.82414			−0.247864
$759$		0			0
$760$	5.97184			0.216621
$761$	5.02676	+	34.9619i	0.182220	+	1.26737i	0.851499	+	0.524357i	$0.175694\pi$
$761$	5.02676	+	34.9619i	0.182220	+	1.26737i	−0.669279	+	0.743011i	$0.733397\pi$
$762$	0.491313	−	1.07582i	0.0177984	−	0.0389730i
$763$	36.7182	−	10.7814i	1.32929	−	0.390315i
$764$	26.1370	−	30.1637i	0.945602	−	1.09128i
$765$	−25.2524	−	7.41479i	−0.913004	−	0.268082i
$766$	2.56540	−	1.64868i	0.0926918	−	0.0595694i
$767$	−14.2470	−	31.1965i	−0.514428	−	1.12644i
$768$	−3.67279	−	4.23862i	−0.132530	−	0.152948i
$769$	41.4759	+	26.6549i	1.49566	+	0.961201i	0.995449	+	0.0952967i	$0.0303800\pi$
$769$	41.4759	+	26.6549i	1.49566	+	0.961201i	0.500209	+	0.865904i	$0.333256\pi$
$770$	0.437381	−	3.04205i	0.0157621	−	0.109628i
$771$	1.12051	−	7.79331i	0.0403541	−	0.280669i
$772$	22.4656	+	14.4378i	0.808554	+	0.519626i
$773$	2.45228	+	2.83008i	0.0882022	+	0.101791i	0.798135	−	0.602479i	$-0.205820\pi$
$773$	2.45228	+	2.83008i	0.0882022	+	0.101791i	−0.709933	+	0.704269i	$0.751275\pi$
$774$	0.350807	+	0.768161i	0.0126095	+	0.0276110i
$775$	10.8101	−	6.94726i	0.388312	−	0.249553i
$776$	9.50081	+	2.78969i	0.341059	+	0.100144i
$777$	0.0303212	−	0.0349925i	0.00108777	−	0.00125535i
$778$	0.475687	−	0.139674i	0.0170542	−	0.00500757i
$779$	5.70628	−	12.4950i	0.204449	−	0.447681i
$780$	−0.660034	−	4.59064i	−0.0236330	−	0.164371i
$781$	13.7938			0.493581
$782$		0			0
$783$	−17.3721			−0.620827
$784$	0.269779	+	1.87635i	0.00963495	+	0.0670126i
$785$	6.12151	−	13.4042i	0.218486	−	0.478418i
$786$	1.65104	−	0.484790i	0.0588908	−	0.0172919i
$787$	7.62046	−	8.79448i	0.271640	−	0.313489i	−0.603496	−	0.797366i	$-0.706226\pi$
$787$	7.62046	−	8.79448i	0.271640	−	0.313489i	0.875136	+	0.483877i	$0.160772\pi$
$788$	4.28921	+	1.25942i	0.152797	+	0.0448651i
$789$	9.46667	−	6.08386i	0.337023	−	0.216591i
$790$	0.357092	+	0.781922i	0.0127048	+	0.0278195i
$791$	−1.92663	−	2.22345i	−0.0685031	−	0.0790568i
$792$	7.33225	+	4.71215i	0.260540	+	0.167439i
$793$	1.68639	−	11.7291i	0.0598856	−	0.416513i
$794$	−0.0632369	+	0.439822i	−0.00224419	+	0.0156087i
$795$	−4.10055	−	2.63527i	−0.145432	−	0.0934633i
$796$	−2.17781	−	2.51333i	−0.0771904	−	0.0890825i
$797$	−20.7941	−	45.5327i	−0.736564	−	1.61285i	−0.789126	−	0.614232i	$-0.789466\pi$
$797$	−20.7941	−	45.5327i	−0.736564	−	1.61285i	0.0525618	−	0.998618i	$-0.483261\pi$
$798$	1.02632	−	0.659577i	0.0363314	−	0.0233488i
$799$	−20.5817	−	6.04333i	−0.728128	−	0.213798i
$800$	4.84929	−	5.59638i	0.171448	−	0.197862i
$801$	−32.8601	+	9.64860i	−1.16106	+	0.340917i
$802$	−1.65575	+	3.62558i	−0.0584665	+	0.128024i
$803$	−2.09350	−	14.5606i	−0.0738781	−	0.513834i
$804$	−6.34887			−0.223907
$805$		0			0
$806$	−3.69137			−0.130023
$807$	−0.302730	−	2.10553i	−0.0106566	−	0.0741182i
$808$	−3.56419	+	7.80449i	−0.125388	+	0.274561i
$809$	30.7570	−	9.03106i	1.08136	−	0.317515i	0.307936	−	0.951407i	$-0.400362\pi$
$809$	30.7570	−	9.03106i	1.08136	−	0.317515i	0.773421	+	0.633892i	$0.218544\pi$
$810$	1.63781	−	1.89014i	0.0575470	−	0.0664127i
$811$	−46.4089	−	13.6269i	−1.62964	−	0.478505i	−0.666052	−	0.745905i	$-0.732017\pi$
$811$	−46.4089	−	13.6269i	−1.62964	−	0.478505i	−0.963585	+	0.267401i	$0.913835\pi$
$812$	−26.1771	+	16.8230i	−0.918637	+	0.590372i
$813$	−3.91928	−	8.58202i	−0.137455	−	0.300985i
$814$	0.0198334	+	0.0228890i	0.000695161	+	0.000802258i
$815$	7.67524	+	4.93258i	0.268852	+	0.172781i
$816$	−1.56896	+	10.9123i	−0.0549245	+	0.382008i
$817$	0.776060	−	5.39762i	0.0271509	−	0.188839i
$818$	2.58812	+	1.66328i	0.0904913	+	0.0581553i
$819$	15.2074	+	17.5503i	0.531389	+	0.613256i
$820$	3.96797	+	8.68863i	0.138567	+	0.303420i
$821$	−8.85375	+	5.68996i	−0.308998	+	0.198581i	−0.685944	−	0.727654i	$-0.740611\pi$
$821$	−8.85375	+	5.68996i	−0.308998	+	0.198581i	0.376946	+	0.926235i	$0.376974\pi$
$822$	0.132830	+	0.0390023i	0.00463297	+	0.00136036i
$823$	−31.1472	+	35.9458i	−1.08572	+	1.25299i	−0.120180	+	0.992752i	$0.538347\pi$
$823$	−31.1472	+	35.9458i	−1.08572	+	1.25299i	−0.965544	+	0.260240i	$0.916198\pi$
$824$	−13.2169	+	3.88082i	−0.460431	+	0.135195i
$825$	−1.81822	+	3.98135i	−0.0633024	+	0.138613i
$826$	0.892782	+	6.20943i	0.0310638	+	0.216054i
$827$	52.9294			1.84053			0.920267	−	0.391291i	$-0.127971\pi$
$827$	52.9294			1.84053			0.920267	+	0.391291i	$0.127971\pi$
$828$		0			0
$829$	12.4245			0.431522			0.215761	−	0.976446i	$-0.430777\pi$
$829$	12.4245			0.431522			0.215761	+	0.976446i	$0.430777\pi$
$830$	−0.150609	−	1.04751i	−0.00522773	−	0.0363596i
$831$	−3.75159	+	8.21484i	−0.130141	+	0.284970i
$832$	21.1266	−	6.20334i	0.732434	−	0.215062i
$833$	2.12455	−	2.45186i	0.0736114	−	0.0849520i
$834$	−0.237365	−	0.0696967i	−0.00821928	−	0.00241340i
$835$	−2.24017	+	1.43967i	−0.0775244	+	0.0498219i
$836$	−11.5244	−	25.2350i	−0.398581	−	0.872770i
$837$	−8.58178	−	9.90390i	−0.296630	−	0.342329i
$838$	5.85092	+	3.76016i	0.202117	+	0.129892i
$839$	−6.21688	+	43.2394i	−0.214631	+	1.49279i	0.542794	+	0.839866i	$0.317367\pi$
$839$	−6.21688	+	43.2394i	−0.214631	+	1.49279i	−0.757424	+	0.652923i	$0.773543\pi$
$840$	−0.244936	+	1.70357i	−0.00845111	+	0.0587788i
$841$	8.84701	+	5.68563i	0.305069	+	0.196056i
$842$	3.45297	+	3.98494i	0.118997	+	0.137330i
$843$	−3.81813	−	8.36053i	−0.131503	−	0.287952i
$844$	13.0885	−	8.41146i	0.450524	−	0.289534i
$845$	−3.14256	−	0.922737i	−0.108107	−	0.0317431i
$846$	1.46630	−	1.69220i	0.0504123	−	0.0581789i
$847$	−0.917816	+	0.269495i	−0.0315365	+	0.00925996i
$848$	10.2472	−	22.4383i	0.351891	−	0.770534i
$849$	0.0742910	+	0.516706i	0.00254966	+	0.0177333i
$850$	−4.02229			−0.137963
$851$		0			0
$852$	−3.80756			−0.130445
$853$	−4.24520	−	29.5260i	−0.145353	−	1.01095i	−0.923700	−	0.383116i	$-0.874851\pi$
$853$	−4.24520	−	29.5260i	−0.145353	−	1.01095i	0.778347	−	0.627834i	$-0.216058\pi$
$854$	−0.900422	+	1.97165i	−0.0308118	+	0.0674684i
$855$	−17.0214	+	4.99794i	−0.582120	+	0.170926i
$856$	9.89871	−	11.4237i	0.338331	−	0.390455i
$857$	6.31022	+	1.85285i	0.215553	+	0.0632920i	0.387726	−	0.921775i	$-0.373261\pi$
$857$	6.31022	+	1.85285i	0.215553	+	0.0632920i	−0.172173	+	0.985067i	$0.555079\pi$
$858$	1.05773	−	0.679762i	0.0361103	−	0.0232067i
$859$	7.67530	+	16.8066i	0.261878	+	0.573433i	0.994203	−	0.107523i	$-0.0342919\pi$
$859$	7.67530	+	16.8066i	0.261878	+	0.573433i	−0.732325	+	0.680956i	$0.761565\pi$
$860$	2.48318	+	2.86575i	0.0846759	+	0.0977212i
$861$	3.33037	+	2.14030i	0.113499	+	0.0729413i
$862$	−0.0592836	+	0.412327i	−0.00201921	+	0.0140439i
$863$	−4.20322	+	29.2341i	−0.143079	+	0.995139i	0.784130	+	0.620596i	$0.213109\pi$
$863$	−4.20322	+	29.2341i	−0.143079	+	0.995139i	−0.927210	+	0.374543i	$0.877800\pi$
$864$	−6.35302	−	4.08284i	−0.216134	−	0.138901i
$865$	−10.1200	−	11.6791i	−0.344091	−	0.397102i
$866$	−1.35555	−	2.96823i	−0.0460634	−	0.100865i
$867$	9.02384	−	5.79927i	0.306466	−	0.196954i
$868$	−22.5223	−	6.61316i	−0.764458	−	0.224465i
$869$	5.30527	−	6.12261i	0.179969	−	0.207695i
$870$	1.03370	−	0.303523i	0.0350458	−	0.0102904i
$871$	9.32519	−	20.4193i	0.315972	−	0.691882i
$872$	−1.99497	−	13.8753i	−0.0675581	−	0.469877i
$873$	−29.4147			−0.995538
$874$		0			0
$875$	29.7079			1.00431
$876$	0.577877	+	4.01922i	0.0195247	+	0.135797i
$877$	3.57597	−	7.83028i	0.120752	−	0.264410i	−0.839598	−	0.543209i	$-0.817209\pi$
$877$	3.57597	−	7.83028i	0.120752	−	0.264410i	0.960349	+	0.278799i	$0.0899364\pi$
$878$	−1.63107	+	0.478924i	−0.0550458	+	0.0161629i
$879$	−4.37145	+	5.04492i	−0.147445	+	0.170161i
$880$	17.9617	+	5.27403i	0.605489	+	0.177788i
$881$	4.23160	−	2.71949i	0.142566	−	0.0916218i	−0.467413	−	0.884039i	$-0.654814\pi$
$881$	4.23160	−	2.71949i	0.142566	−	0.0916218i	0.609980	+	0.792417i	$0.291178\pi$
$882$	0.140681	+	0.308048i	0.00473696	+	0.0103725i
$883$	14.1685	+	16.3514i	0.476809	+	0.550267i	0.942293	−	0.334789i	$-0.108665\pi$
$883$	14.1685	+	16.3514i	0.476809	+	0.550267i	−0.465484	+	0.885056i	$0.654120\pi$
$884$	−33.7919	−	21.7167i	−1.13654	−	0.730413i
$885$	−1.07457	+	7.47377i	−0.0361211	+	0.251228i
$886$	0.787229	−	5.47530i	0.0264475	−	0.183946i
$887$	23.1463	+	14.8753i	0.777178	+	0.499462i	0.868096	−	0.496396i	$-0.165344\pi$
$887$	23.1463	+	14.8753i	0.777178	+	0.499462i	−0.0909178	+	0.995858i	$0.528980\pi$
$888$	−0.0111069	−	0.0128180i	−0.000372722	−	0.000430144i
$889$	11.0464	+	24.1883i	0.370485	+	0.811248i
$890$	3.72133	−	2.39156i	0.124739	−	0.0801651i
$891$	−22.6161	−	6.64070i	−0.757669	−	0.222472i
$892$	36.3128	−	41.9072i	1.21584	−	1.40316i
$893$	−13.8731	+	4.07351i	−0.464246	+	0.136315i
$894$	0.194759	−	0.426463i	0.00651372	−	0.0142631i
$895$	−2.21949	−	15.4369i	−0.0741894	−	0.515998i
$896$	−17.9435			−0.599451
$897$		0			0
$898$	1.59684			0.0532871
$899$	4.24233	+	29.5061i	0.141490	+	0.984083i
$900$	−6.06343	+	13.2771i	−0.202114	+	0.442569i
$901$	−40.5067	+	11.8938i	−1.34947	+	0.396241i
$902$	−1.69577	+	1.95702i	−0.0564629	+	0.0651617i
$903$	1.50793	+	0.442769i	0.0501809	+	0.0147344i
$904$	−0.906612	+	0.582644i	−0.0301535	+	0.0193785i
$905$	5.84121	+	12.7905i	0.194168	+	0.425169i
$906$	0.504001	+	0.581648i	0.0167443	+	0.0193240i
$907$	−1.60375	−	1.03066i	−0.0532515	−	0.0342227i	0.513744	−	0.857943i	$-0.328258\pi$
$907$	−1.60375	−	1.03066i	−0.0532515	−	0.0342227i	−0.566996	+	0.823721i	$0.691894\pi$
$908$	2.59603	−	18.0558i	0.0861523	−	0.599203i
$909$	3.62723	−	25.2279i	0.120308	−	0.836758i
$910$	−2.52335	−	1.62166i	−0.0836482	−	0.0537574i
$911$	−24.6917	−	28.4958i	−0.818073	−	0.944107i	0.181152	−	0.983455i	$-0.442017\pi$
$911$	−24.6917	−	28.4958i	−0.818073	−	0.944107i	−0.999226	+	0.0393483i	$0.987472\pi$
$912$	3.08699	+	6.75957i	0.102220	+	0.223832i
$913$	−8.39053	+	5.39227i	−0.277686	+	0.178458i
$914$	1.63932	+	0.481348i	0.0542239	+	0.0159216i
$915$	−1.70844	+	1.97165i	−0.0564794	+	0.0651807i
$916$	12.4099	−	3.64387i	0.410034	−	0.120397i
$917$	−16.0717	+	35.1921i	−0.530735	+	1.16215i
$918$	0.583778	+	4.06026i	0.0192675	+	0.134009i
$919$	1.89744			0.0625909			0.0312955	−	0.999510i	$-0.490037\pi$
$919$	1.89744			0.0625909			0.0312955	+	0.999510i	$0.490037\pi$
$920$		0			0
$921$	−12.2741			−0.404446
$922$	1.08300	+	7.53242i	0.0356667	+	0.248067i
$923$	5.59252	−	12.2459i	0.184080	−	0.403079i
$924$	7.67139	−	2.25252i	0.252370	−	0.0741025i
$925$	−0.0673838	+	0.0777650i	−0.00221556	+	0.00255690i
$926$	4.25986	+	1.25081i	0.139988	+	0.0411041i
$927$	34.4238	−	22.1229i	1.13063	−	0.726610i
$928$	7.13611	+	15.6259i	0.234254	+	0.512946i
$929$	18.2366	+	21.0462i	0.598324	+	0.690502i	0.971441	−	0.237282i	$-0.0762565\pi$
$929$	18.2366	+	21.0462i	0.598324	+	0.690502i	−0.373117	+	0.927784i	$0.621711\pi$
$930$	0.683688	+	0.439379i	0.0224190	+	0.0144078i
$931$	0.311215	−	2.16455i	0.0101997	−	0.0709403i
$932$	−7.09363	+	49.3373i	−0.232360	+	1.61610i
$933$	−1.49611	−	0.961494i	−0.0489806	−	0.0314779i
$934$	4.40966	+	5.08902i	0.144289	+	0.166518i
$935$	−13.3091	−	29.1429i	−0.435254	−	0.953074i
$936$	7.15613	−	4.59896i	0.233905	−	0.150322i
$937$	13.7475	+	4.03663i	0.449111	+	0.131871i	0.498464	−	0.866910i	$-0.333898\pi$
$937$	13.7475	+	4.03663i	0.449111	+	0.131871i	−0.0493526	+	0.998781i	$0.515716\pi$
$938$	−2.68893	+	3.10319i	−0.0877967	+	0.101323i
$939$	7.22725	−	2.12211i	0.235852	−	0.0692525i
$940$	4.17665	−	9.14560i	0.136227	−	0.298296i
$941$	−4.98897	−	34.6991i	−0.162636	−	1.13116i	−0.893640	−	0.448784i	$-0.851857\pi$
$941$	−4.98897	−	34.6991i	−0.162636	−	1.13116i	0.731004	−	0.682373i	$-0.239052\pi$
$942$	−1.10273			−0.0359290
$943$		0			0
$944$	−38.2113			−1.24367
$945$	−1.51545	−	10.5402i	−0.0492975	−	0.342872i
$946$	−0.427045	+	0.935099i	−0.0138844	+	0.0304027i
$947$	7.59450	−	2.22995i	0.246788	−	0.0724636i	−0.155999	−	0.987757i	$-0.549860\pi$
$947$	7.59450	−	2.22995i	0.246788	−	0.0724636i	0.402787	+	0.915294i	$0.368041\pi$
$948$	−1.46443	+	1.69005i	−0.0475626	+	0.0548901i
$949$	−13.7755	−	4.04484i	−0.447170	−	0.131301i
$950$	−2.28083	+	1.46580i	−0.0739999	+	0.0475569i
$951$	−0.657476	−	1.43967i	−0.0213201	−	0.0466846i
$952$	9.76161	+	11.2655i	0.316376	+	0.365117i
$953$	−14.8432	−	9.53918i	−0.480820	−	0.309004i	0.277684	−	0.960672i	$-0.410433\pi$
$953$	−14.8432	−	9.53918i	−0.480820	−	0.309004i	−0.758504	+	0.651668i	$0.774069\pi$
$954$	0.627147	−	4.36190i	0.0203046	−	0.141222i
$955$	4.42159	−	30.7528i	0.143079	−	0.995139i
$956$	2.50568	+	1.61031i	0.0810396	+	0.0520810i
$957$	−6.64911	−	7.67349i	−0.214935	−	0.248049i
$958$	−0.464410	−	1.01692i	−0.0150044	−	0.0328551i
$959$	−2.61844	+	1.68277i	−0.0845540	+	0.0543396i
$960$	−4.65129	−	1.36574i	−0.150120	−	0.0440791i
$961$	5.57484	−	6.43371i	0.179834	−	0.207539i
$962$	0.0283616	−	0.00832773i	0.000914416	−	0.000268497i
$963$	−18.6534	+	40.8452i	−0.601097	+	1.31622i
$964$	7.72070	+	53.6986i	0.248667	+	1.72952i
$965$	20.7880			0.669190
$966$		0			0
$967$	−18.1226			−0.582785			−0.291392	−	0.956604i	$-0.594119\pi$
$967$	−18.1226			−0.582785			−0.291392	+	0.956604i	$0.594119\pi$
$968$	0.0498665	+	0.346829i	0.00160277	+	0.0111475i
$969$	5.28319	−	11.5686i	0.169721	−	0.371636i
$970$	3.64545	−	1.07040i	0.117048	−	0.0343685i
$971$	−6.94481	+	8.01474i	−0.222870	+	0.257205i	−0.856162	−	0.516707i	$-0.827158\pi$
$971$	−6.94481	+	8.01474i	−0.222870	+	0.257205i	0.633292	+	0.773913i	$0.281703\pi$
$972$	21.7074	+	6.37388i	0.696266	+	0.204442i
$973$	4.67913	−	3.00709i	0.150006	−	0.0964030i
$974$	3.11179	+	6.81388i	0.0997083	+	0.218331i
$975$	2.79740	+	3.22837i	0.0895885	+	0.103391i
$976$	−11.1067	−	7.13787i	−0.355518	−	0.228478i
$977$	0.935724	−	6.50810i	0.0299365	−	0.208213i	−0.969363	−	0.245632i	$-0.921005\pi$
$977$	0.935724	−	6.50810i	0.0299365	−	0.208213i	0.999300	+	0.0374192i	$0.0119137\pi$
$978$	0.0971648	−	0.675796i	0.00310699	−	0.0216096i
$979$	−35.0719	−	22.5393i	−1.12090	−	0.720361i
$980$	0.995805	+	1.14922i	0.0318098	+	0.0367105i
$981$	17.2987	+	37.8789i	0.552305	+	1.20938i
$982$	−1.43212	+	0.920367i	−0.0457007	+	0.0293701i
$983$	41.9409	+	12.3150i	1.33771	+	0.392787i	0.870851	−	0.491546i	$-0.163568\pi$
$983$	41.9409	+	12.3150i	1.33771	+	0.392787i	0.466857	+	0.884333i	$0.345386\pi$
$984$	0.949643	−	1.09595i	0.0302735	−	0.0349375i
$985$	3.33887	−	0.980379i	0.106385	−	0.0312375i
$986$	3.87620	−	8.48769i	0.123443	−	0.270303i
$987$	−0.593030	−	4.12462i	−0.0188764	−	0.131288i
$988$	−27.0756			−0.861390
$989$		0			0
$990$	3.34426			0.106288
$991$	−7.71784	−	53.6787i	−0.245165	−	1.70516i	−0.625427	−	0.780282i	$-0.715075\pi$
$991$	−7.71784	−	53.6787i	−0.245165	−	1.70516i	0.380262	−	0.924879i	$-0.375834\pi$
$992$	−5.38317	+	11.7875i	−0.170916	+	0.374254i
$993$	−3.67625	+	1.07944i	−0.116662	+	0.0342551i
$994$	−1.61261	+	1.86105i	−0.0511489	+	0.0590290i
$995$	−2.48390	−	0.729340i	−0.0787451	−	0.0231216i
$996$	2.31607	−	1.48845i	0.0733874	−	0.0471632i
$997$	0.285697	+	0.625589i	0.00904811	+	0.0198126i	0.914102	−	0.405484i	$-0.132897\pi$
$997$	0.285697	+	0.625589i	0.00904811	+	0.0198126i	−0.905054	+	0.425297i	$0.860170\pi$
$998$	3.52978	+	4.07359i	0.111733	+	0.128947i
$999$	0.0882789	+	0.0567334i	0.00279302	+	0.00179497i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	529.2.c.e.118.1		10
23.2	even	11		529.2.c.c.334.1		10
23.3	even	11		529.2.c.h.487.1		10
23.4	even	11		529.2.c.c.255.1		10
23.5	odd	22		529.2.c.i.466.1		10
23.6	even	11		529.2.c.f.177.1		10
23.7	odd	22		23.2.c.a.9.1	✓	10
23.8	even	11	inner	529.2.c.e.399.1		10
23.9	even	11		529.2.c.f.266.1		10
23.10	odd	22		529.2.a.i.1.2		5
23.11	odd	22		23.2.c.a.18.1	yes	10
23.12	even	11		529.2.c.a.501.1		10
23.13	even	11		529.2.a.j.1.2		5
23.14	odd	22		529.2.c.g.266.1		10
23.15	odd	22		529.2.c.d.399.1		10
23.16	even	11		529.2.c.a.170.1		10
23.17	odd	22		529.2.c.g.177.1		10
23.18	even	11		529.2.c.h.466.1		10
23.19	odd	22		529.2.c.b.255.1		10
23.20	odd	22		529.2.c.i.487.1		10
23.21	odd	22		529.2.c.b.334.1		10
23.22	odd	2		529.2.c.d.118.1		10
69.11	even	22		207.2.i.c.64.1		10
69.53	even	22		207.2.i.c.55.1		10
69.56	even	22		4761.2.a.bo.1.4		5
69.59	odd	22		4761.2.a.bn.1.4		5
92.7	even	22		368.2.m.c.193.1		10
92.11	even	22		368.2.m.c.225.1		10
92.59	odd	22		8464.2.a.bt.1.3		5
92.79	even	22		8464.2.a.bs.1.3		5
115.7	even	44		575.2.p.b.124.1		20
115.34	odd	22		575.2.k.b.501.1		10
115.53	even	44		575.2.p.b.124.2		20
115.57	even	44		575.2.p.b.524.2		20
115.99	odd	22		575.2.k.b.101.1		10
115.103	even	44		575.2.p.b.524.1		20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
23.2.c.a.9.1	✓	10	23.7	odd	22
23.2.c.a.18.1	yes	10	23.11	odd	22
207.2.i.c.55.1		10	69.53	even	22
207.2.i.c.64.1		10	69.11	even	22
368.2.m.c.193.1		10	92.7	even	22
368.2.m.c.225.1		10	92.11	even	22
529.2.a.i.1.2		5	23.10	odd	22
529.2.a.j.1.2		5	23.13	even	11
529.2.c.a.170.1		10	23.16	even	11
529.2.c.a.501.1		10	23.12	even	11
529.2.c.b.255.1		10	23.19	odd	22
529.2.c.b.334.1		10	23.21	odd	22
529.2.c.c.255.1		10	23.4	even	11
529.2.c.c.334.1		10	23.2	even	11
529.2.c.d.118.1		10	23.22	odd	2
529.2.c.d.399.1		10	23.15	odd	22
529.2.c.e.118.1		10	1.1	even	1	trivial
529.2.c.e.399.1		10	23.8	even	11	inner
529.2.c.f.177.1		10	23.6	even	11
529.2.c.f.266.1		10	23.9	even	11
529.2.c.g.177.1		10	23.17	odd	22
529.2.c.g.266.1		10	23.14	odd	22
529.2.c.h.466.1		10	23.18	even	11
529.2.c.h.487.1		10	23.3	even	11
529.2.c.i.466.1		10	23.5	odd	22
529.2.c.i.487.1		10	23.20	odd	22
575.2.k.b.101.1		10	115.99	odd	22
575.2.k.b.501.1		10	115.34	odd	22
575.2.p.b.124.1		20	115.7	even	44
575.2.p.b.124.2		20	115.53	even	44
575.2.p.b.524.1		20	115.103	even	44
575.2.p.b.524.2		20	115.57	even	44
4761.2.a.bn.1.4		5	69.59	odd	22
4761.2.a.bo.1.4		5	69.56	even	22
8464.2.a.bs.1.3		5	92.79	even	22
8464.2.a.bt.1.3		5	92.59	odd	22

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:	\( N \)	\(=\)	\( 529 = 23^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	529.c (of order \(11\), degree \(10\), not minimal)

\(f(q)\)	\(=\)	\(q+(-0.0336545 - 0.234072i) q^{2} +(0.198939 - 0.435615i) q^{3} +(1.86533 - 0.547710i) q^{4} +(0.991025 - 1.14370i) q^{5} +(-0.108660 - 0.0319056i) q^{6} +(2.14200 - 1.37658i) q^{7} +(-0.387454 - 0.848406i) q^{8} +(1.81440 + 2.09393i) q^{9} +(-0.301061 - 0.193480i) q^{10} +(-0.479997 + 3.33846i) q^{11} +(0.132495 - 0.921526i) q^{12} +(2.76921 + 1.77967i) q^{13} +(-0.394306 - 0.455054i) q^{14} +(-0.301061 - 0.659232i) q^{15} +(3.08538 - 1.98285i) q^{16} +(-6.02260 - 1.76840i) q^{17} +(0.429067 - 0.495170i) q^{18} +(-4.05954 + 1.19199i) q^{19} +(1.22217 - 2.67618i) q^{20} +(-0.173532 - 1.20694i) q^{21} +0.797593 q^{22} -0.446658 q^{24} +(0.385646 + 2.68223i) q^{25} +(0.323373 - 0.708089i) q^{26} +(2.65158 - 0.778574i) q^{27} +(3.24157 - 3.74097i) q^{28} +(-6.03158 - 1.77103i) q^{29} +(-0.144176 + 0.0926561i) q^{30} +(-1.96992 - 4.31352i) q^{31} +(-1.78953 - 2.06523i) q^{32} +(1.35879 + 0.873242i) q^{33} +(-0.211244 + 1.46924i) q^{34} +(0.548376 - 3.81404i) q^{35} +(4.53131 + 2.91210i) q^{36} +(0.0248666 + 0.0286976i) q^{37} +(0.415632 + 0.910108i) q^{38} +(1.32615 - 0.852267i) q^{39} +(-1.35430 - 0.397659i) q^{40} +(-2.12611 + 2.45366i) q^{41} +(-0.276671 + 0.0812380i) q^{42} +(-0.535418 + 1.17240i) q^{43} +(0.933152 + 6.49022i) q^{44} +4.19295 q^{45} +3.41741 q^{47} +(-0.249959 - 1.73850i) q^{48} +(-0.214713 + 0.470156i) q^{49} +(0.614856 - 0.180538i) q^{50} +(-1.96847 + 2.27173i) q^{51} +(6.14024 + 1.80294i) q^{52} +(5.65809 - 3.63623i) q^{53} +(-0.271480 - 0.594458i) q^{54} +(3.34251 + 3.85747i) q^{55} +(-1.99782 - 1.28392i) q^{56} +(-0.288351 + 2.00553i) q^{57} +(-0.211559 + 1.47143i) q^{58} +(-8.76470 - 5.63273i) q^{59} +(-0.922646 - 1.06479i) q^{60} +(-1.49541 - 3.27450i) q^{61} +(-0.943376 + 0.606271i) q^{62} +(6.76890 + 1.98753i) q^{63} +(4.38034 - 5.05518i) q^{64} +(4.77977 - 1.40347i) q^{65} +(0.158672 - 0.347443i) q^{66} +(-0.970501 - 6.74998i) q^{67} -12.2027 q^{68} -0.911214 q^{70} +(-0.582030 - 4.04811i) q^{71} +(1.07350 - 2.35065i) q^{72} +(-4.18482 + 1.22877i) q^{73} +(0.00588042 - 0.00678637i) q^{74} +(1.24514 + 0.365606i) q^{75} +(-6.91951 + 4.44690i) q^{76} +(3.56750 + 7.81173i) q^{77} +(-0.244123 - 0.281733i) q^{78} +(-2.02068 - 1.29861i) q^{79} +(0.789891 - 5.49381i) q^{80} +(-0.994576 + 6.91743i) q^{81} +(0.645886 + 0.415086i) q^{82} +(1.93652 + 2.23487i) q^{83} +(-0.984749 - 2.15630i) q^{84} +(-7.99107 + 5.13555i) q^{85} +(0.292445 + 0.0858697i) q^{86} +(-1.97140 + 2.27512i) q^{87} +(3.01834 - 0.886265i) q^{88} +(-5.13483 + 11.2437i) q^{89} +(-0.141111 - 0.981451i) q^{90} +8.38151 q^{91} -2.27092 q^{93} +(-0.115011 - 0.799919i) q^{94} +(-2.65982 + 5.82420i) q^{95} +(-1.25565 + 0.368693i) q^{96} +(-6.95233 + 8.02341i) q^{97} +(0.117276 + 0.0344354i) q^{98} +(-7.86139 + 5.05221i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 4 q^{2} - 7 q^{3} + 8 q^{4} + 3 q^{5} - 5 q^{6} - 6 q^{7} + 15 q^{8} - 2 q^{9} - 12 q^{10} - 7 q^{11} - 10 q^{12} + 8 q^{13} + 2 q^{14} - 12 q^{15} + 12 q^{16} - q^{17} - 3 q^{18} - 2 q^{19} - 2 q^{20}+ \cdots - 25 q^{99}+O(q^{100}) \) 10 * q + 4 * q^2 - 7 * q^3 + 8 * q^4 + 3 * q^5 - 5 * q^6 - 6 * q^7 + 15 * q^8 - 2 * q^9 - 12 * q^10 - 7 * q^11 - 10 * q^12 + 8 * q^13 + 2 * q^14 - 12 * q^15 + 12 * q^16 - q^17 - 3 * q^18 - 2 * q^19 - 2 * q^20 + 24 * q^21 + 6 * q^22 - 38 * q^24 + 18 * q^25 - 10 * q^26 - 4 * q^27 + 26 * q^28 - 8 * q^29 + 4 * q^30 - 12 * q^31 - 23 * q^32 + 17 * q^33 + 26 * q^34 + 18 * q^35 - 6 * q^36 - 25 * q^37 + 52 * q^38 + 12 * q^39 - 12 * q^40 - 26 * q^41 + 14 * q^42 - 22 * q^43 - 32 * q^44 + 6 * q^45 - 18 * q^47 - 15 * q^48 + 15 * q^49 + 5 * q^50 - 18 * q^51 + 13 * q^52 + 48 * q^53 - 17 * q^54 + 32 * q^55 + 2 * q^56 + 8 * q^57 - q^58 + q^59 + 8 * q^60 - 36 * q^61 - 18 * q^62 + 21 * q^63 + 13 * q^64 - 13 * q^65 - 2 * q^66 + 10 * q^67 + 30 * q^68 + 38 * q^70 - 14 * q^71 - 3 * q^72 - 3 * q^73 - 32 * q^74 - 6 * q^75 - 50 * q^76 + 13 * q^77 + 7 * q^78 - 18 * q^79 - 14 * q^80 + 11 * q^81 - 6 * q^82 + 15 * q^83 - 16 * q^84 - 19 * q^85 - 22 * q^86 + 10 * q^87 - 16 * q^88 + 19 * q^89 - 24 * q^90 + 4 * q^91 + 4 * q^93 - 5 * q^94 + 28 * q^95 - 7 * q^96 - 21 * q^97 + 39 * q^98 - 25 * q^99

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