LMFDB - Embedded newform 855.2.ci.a.182.18

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [855,2,Mod(182,855)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(855, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([2, 3, 8]))

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

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

chi := DirichletCharacter("855.182");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 855 = 3^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	855.ci (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.82720937282$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			182.18
Character	$\chi$	$=$	855.182
Dual form			855.2.ci.a.653.18

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.03110 - 0.544232i) q^{2} +(1.67740 + 0.431656i) q^{3} +(2.09713 + 1.21078i) q^{4} +(1.01851 + 1.99064i) q^{5} +(-3.17205 - 1.78963i) q^{6} +(-1.44077 + 0.386053i) q^{7} +(-0.626809 - 0.626809i) q^{8} +(2.62735 + 1.44812i) q^{9} +O(q^{10})$	\(q+(-2.03110 - 0.544232i) q^{2} +(1.67740 + 0.431656i) q^{3} +(2.09713 + 1.21078i) q^{4} +(1.01851 + 1.99064i) q^{5} +(-3.17205 - 1.78963i) q^{6} +(-1.44077 + 0.386053i) q^{7} +(-0.626809 - 0.626809i) q^{8} +(2.62735 + 1.44812i) q^{9} +(-0.985324 - 4.59749i) q^{10} +(3.45089 + 1.99238i) q^{11} +(2.99509 + 2.93621i) q^{12} +(0.509329 + 1.90084i) q^{13} +3.13645 q^{14} +(0.849175 + 3.77874i) q^{15} +(-1.48958 - 2.58003i) q^{16} +(-1.51852 - 5.66718i) q^{17} +(-4.54829 - 4.37116i) q^{18} +(-2.02945 + 3.85763i) q^{19} +(-0.274279 + 5.40783i) q^{20} +(-2.58339 + 0.0256489i) q^{21} +(-5.92480 - 5.92480i) q^{22} +(4.60304 - 1.23338i) q^{23} +(-0.780844 - 1.32198i) q^{24} +(-2.92528 + 4.05496i) q^{25} -4.13800i q^{26} +(3.78202 + 3.56319i) q^{27} +(-3.48891 - 0.934850i) q^{28} +1.93888 q^{29} +(0.331752 - 8.13716i) q^{30} +(3.39138 + 5.87405i) q^{31} +(2.08021 + 7.76345i) q^{32} +(4.92851 + 4.83161i) q^{33} +12.3370i q^{34} +(-2.23592 - 2.47485i) q^{35} +(3.75654 + 6.21804i) q^{36} +(-3.83236 - 3.83236i) q^{37} +(6.22147 - 6.73075i) q^{38} +(0.0338393 + 3.40833i) q^{39} +(0.609340 - 1.88616i) q^{40} -5.22116i q^{41} +(5.26108 + 1.35387i) q^{42} +(-4.51585 - 1.21002i) q^{43} +(4.82466 + 8.35656i) q^{44} +(-0.206709 + 6.70502i) q^{45} -10.0205 q^{46} +(-5.38315 + 5.38315i) q^{47} +(-1.38494 - 4.97073i) q^{48} +(-4.13540 + 2.38758i) q^{49} +(8.14839 - 6.64401i) q^{50} +(-0.100889 - 10.1616i) q^{51} +(-1.23337 + 4.60301i) q^{52} +(0.891788 - 3.32820i) q^{53} +(-5.74247 - 9.29549i) q^{54} +(-0.451334 + 8.89873i) q^{55} +(1.14507 + 0.661105i) q^{56} +(-5.06938 + 5.59477i) q^{57} +(-3.93805 - 1.05520i) q^{58} -1.98924 q^{59} +(-2.79440 + 8.95270i) q^{60} -3.95025 q^{61} +(-3.69140 - 13.7765i) q^{62} +(-4.34445 - 1.07211i) q^{63} -10.9422i q^{64} +(-3.26513 + 2.94991i) q^{65} +(-7.38079 - 12.4957i) q^{66} +(-3.22330 + 0.863681i) q^{67} +(3.67718 - 13.7234i) q^{68} +(8.25353 - 0.0819444i) q^{69} +(3.19450 + 6.24353i) q^{70} +(8.81858 + 5.09141i) q^{71} +(-0.739150 - 2.55454i) q^{72} +(0.913024 + 3.40745i) q^{73} +(5.69822 + 9.86960i) q^{74} +(-6.65722 + 5.53908i) q^{75} +(-8.92679 + 5.63275i) q^{76} +(-5.74110 - 1.53832i) q^{77} +(1.78619 - 6.94108i) q^{78} +(11.3858 - 6.57359i) q^{79} +(3.61875 - 5.59299i) q^{80} +(4.80590 + 7.60942i) q^{81} +(-2.84152 + 10.6047i) q^{82} +(2.20388 - 0.590528i) q^{83} +(-5.44876 - 3.07413i) q^{84} +(9.73469 - 8.79489i) q^{85} +(8.51362 + 4.91534i) q^{86} +(3.25227 + 0.836927i) q^{87} +(-0.914213 - 3.41189i) q^{88} +(4.99187 + 8.64617i) q^{89} +(4.06893 - 13.5061i) q^{90} +(-1.46765 - 2.54204i) q^{91} +(11.1465 + 2.98671i) q^{92} +(3.15314 + 11.3170i) q^{93} +(13.8634 - 8.00404i) q^{94} +(-9.74616 - 0.110879i) q^{95} +(0.138207 + 13.9204i) q^{96} +(-1.41361 + 5.27568i) q^{97} +(9.69882 - 2.59879i) q^{98} +(6.18150 + 10.2320i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	$ 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) $ 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/855\mathbb{Z}\right)^\times$.

$n$	$172$	$191$	$496$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

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

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

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

$2$	−2.03110	−	0.544232i	−1.43621	−	0.384830i	−0.545003	−	0.838434i	$-0.683471\pi$
$2$	−2.03110	−	0.544232i	−1.43621	−	0.384830i	−0.891203	+	0.453604i	$0.850138\pi$
$3$	1.67740	+	0.431656i	0.968448	+	0.249217i
$3$	1.67740	+	0.431656i	0.968448	+	0.249217i
$4$	2.09713	+	1.21078i	1.04857	+	0.605391i
$5$	1.01851	+	1.99064i	0.455491	+	0.890241i
$5$	1.01851	+	1.99064i	0.455491	+	0.890241i
$6$	−3.17205	−	1.78963i	−1.29498	−	0.730614i
$7$	−1.44077	+	0.386053i	−0.544559	+	0.145914i	−0.520603	−	0.853799i	$-0.674293\pi$
$7$	−1.44077	+	0.386053i	−0.544559	+	0.145914i	−0.0239560	+	0.999713i	$0.507626\pi$
$8$	−0.626809	−	0.626809i	−0.221610	−	0.221610i
$9$	2.62735	+	1.44812i	0.875782	+	0.482707i
$10$	−0.985324	−	4.59749i	−0.311587	−	1.45386i
$11$	3.45089	+	1.99238i	1.04048	+	0.600724i	0.919970	−	0.391988i	$-0.128213\pi$
$11$	3.45089	+	1.99238i	1.04048	+	0.600724i	0.120514	+	0.992712i	$0.461546\pi$
$12$	2.99509	+	2.93621i	0.864609	+	0.847610i
$13$	0.509329	+	1.90084i	0.141262	+	0.527199i	0.999893	+	0.0146043i	$0.00464885\pi$
$13$	0.509329	+	1.90084i	0.141262	+	0.527199i	−0.858631	+	0.512594i	$0.828684\pi$
$14$	3.13645			0.838251
$15$	0.849175	+	3.77874i	0.219256	+	0.975667i
$16$	−1.48958	−	2.58003i	−0.372395	−	0.645007i
$17$	−1.51852	−	5.66718i	−0.368294	−	1.37449i	−0.862899	−	0.505376i	$-0.831354\pi$
$17$	−1.51852	−	5.66718i	−0.368294	−	1.37449i	0.494605	−	0.869118i	$-0.335313\pi$
$18$	−4.54829	−	4.37116i	−1.07204	−	1.03029i
$19$	−2.02945	+	3.85763i	−0.465588	+	0.885001i
$19$	−2.02945	+	3.85763i	−0.465588	+	0.885001i
$20$	−0.274279	+	5.40783i	−0.0613307	+	1.20923i
$21$	−2.58339	+	0.0256489i	−0.563741	+	0.00559705i
$22$	−5.92480	−	5.92480i	−1.26317	−	1.26317i
$23$	4.60304	−	1.23338i	0.959799	−	0.257177i	0.255284	−	0.966866i	$-0.417831\pi$
$23$	4.60304	−	1.23338i	0.959799	−	0.257177i	0.704515	+	0.709689i	$0.251164\pi$
$24$	−0.780844	−	1.32198i	−0.159389	−	0.269847i
$25$	−2.92528	+	4.05496i	−0.585056	+	0.810993i
$26$		−	4.13800i		−	0.811528i
$27$	3.78202	+	3.56319i	0.727851	+	0.685736i
$28$	−3.48891	−	0.934850i	−0.659342	−	0.176670i
$29$	1.93888			0.360040			0.180020	−	0.983663i	$-0.442384\pi$
$29$	1.93888			0.360040			0.180020	+	0.983663i	$0.442384\pi$
$30$	0.331752	−	8.13716i	0.0605693	−	1.48564i
$31$	3.39138	+	5.87405i	0.609111	+	1.05501i	0.991387	+	0.130963i	$0.0418068\pi$
$31$	3.39138	+	5.87405i	0.609111	+	1.05501i	−0.382277	+	0.924048i	$0.624860\pi$
$32$	2.08021	+	7.76345i	0.367733	+	1.37240i
$33$	4.92851	+	4.83161i	0.857944	+	0.841075i
$34$			12.3370i			2.11579i
$35$	−2.23592	−	2.47485i	−0.377940	−	0.418326i
$36$	3.75654	+	6.21804i	0.626090	+	1.03634i
$37$	−3.83236	−	3.83236i	−0.630036	−	0.630036i	0.318041	−	0.948077i	$-0.396975\pi$
$37$	−3.83236	−	3.83236i	−0.630036	−	0.630036i	−0.948077	+	0.318041i	$0.896975\pi$
$38$	6.22147	−	6.73075i	1.00926	−	1.09187i
$39$	0.0338393	+	3.40833i	0.00541862	+	0.545769i
$40$	0.609340	−	1.88616i	0.0963451	−	0.298228i
$41$		−	5.22116i		−	0.815408i	−0.913114	−	0.407704i	$-0.866329\pi$
$41$		−	5.22116i		−	0.815408i	0.913114	−	0.407704i	$-0.133671\pi$
$42$	5.26108	+	1.35387i	0.811802	+	0.208906i
$43$	−4.51585	−	1.21002i	−0.688661	−	0.184526i	−0.102515	−	0.994732i	$-0.532689\pi$
$43$	−4.51585	−	1.21002i	−0.688661	−	0.184526i	−0.586146	+	0.810205i	$0.699356\pi$
$44$	4.82466	+	8.35656i	0.727345	+	1.25980i
$45$	−0.206709	+	6.70502i	−0.0308144	+	0.999525i
$46$	−10.0205			−1.47744
$47$	−5.38315	+	5.38315i	−0.785213	+	0.785213i	−0.980705	−	0.195492i	$-0.937370\pi$
$47$	−5.38315	+	5.38315i	−0.785213	+	0.785213i	0.195492	+	0.980705i	$0.437370\pi$
$48$	−1.38494	−	4.97073i	−0.199899	−	0.717463i
$49$	−4.13540	+	2.38758i	−0.590772	+	0.341082i
$50$	8.14839	−	6.64401i	1.15236	−	0.939605i
$51$	−0.100889	−	10.1616i	−0.0141272	−	1.42291i
$52$	−1.23337	+	4.60301i	−0.171038	+	0.638322i
$53$	0.891788	−	3.32820i	0.122497	−	0.457163i	−0.877242	−	0.480049i	$-0.840619\pi$
$53$	0.891788	−	3.32820i	0.122497	−	0.457163i	0.999738	+	0.0228859i	$0.00728546\pi$
$54$	−5.74247	−	9.29549i	−0.781452	−	1.26496i
$55$	−0.451334	+	8.89873i	−0.0608578	+	1.19991i
$56$	1.14507	+	0.661105i	0.153016	+	0.0883438i
$57$	−5.06938	+	5.59477i	−0.671455	+	0.741045i
$58$	−3.93805	−	1.05520i	−0.517092	−	0.138554i
$59$	−1.98924			−0.258977			−0.129488	−	0.991581i	$-0.541333\pi$
$59$	−1.98924			−0.258977			−0.129488	+	0.991581i	$0.541333\pi$
$60$	−2.79440	+	8.95270i	−0.360755	+	1.15579i
$61$	−3.95025			−0.505778			−0.252889	−	0.967495i	$-0.581381\pi$
$61$	−3.95025			−0.505778			−0.252889	+	0.967495i	$0.581381\pi$
$62$	−3.69140	−	13.7765i	−0.468808	−	1.74962i
$63$	−4.34445	−	1.07211i	−0.547349	−	0.135073i
$64$		−	10.9422i		−	1.36777i
$65$	−3.26513	+	2.94991i	−0.404990	+	0.365892i
$66$	−7.38079	−	12.4957i	−0.908513	−	1.53812i
$67$	−3.22330	+	0.863681i	−0.393789	+	0.105515i	−0.450279	−	0.892888i	$-0.648676\pi$
$67$	−3.22330	+	0.863681i	−0.393789	+	0.105515i	0.0564904	+	0.998403i	$0.482009\pi$
$68$	3.67718	−	13.7234i	0.445924	−	1.66421i
$69$	8.25353	−	0.0819444i	0.993609	−	0.00986495i
$70$	3.19450	+	6.24353i	0.381815	+	0.746245i
$71$	8.81858	+	5.09141i	1.04657	+	0.604239i	0.921688	−	0.387932i	$-0.126810\pi$
$71$	8.81858	+	5.09141i	1.04657	+	0.604239i	0.124885	+	0.992171i	$0.460144\pi$
$72$	−0.739150	−	2.55454i	−0.0871096	−	0.301055i
$73$	0.913024	+	3.40745i	0.106861	+	0.398812i	0.998550	−	0.0538377i	$-0.0171454\pi$
$73$	0.913024	+	3.40745i	0.106861	+	0.398812i	−0.891688	+	0.452650i	$0.850479\pi$
$74$	5.69822	+	9.86960i	0.662404	+	1.14732i
$75$	−6.65722	+	5.53908i	−0.768709	+	0.639598i
$76$	−8.92679	+	5.63275i	−1.02397	+	0.646121i
$77$	−5.74110	−	1.53832i	−0.654259	−	0.175308i
$78$	1.78619	−	6.94108i	0.202246	−	0.785922i
$79$	11.3858	−	6.57359i	1.28100	−	0.739587i	0.303970	−	0.952682i	$-0.401688\pi$
$79$	11.3858	−	6.57359i	1.28100	−	0.739587i	0.977031	+	0.213095i	$0.0683544\pi$
$80$	3.61875	−	5.59299i	0.404589	−	0.625316i
$81$	4.80590	+	7.60942i	0.533989	+	0.845492i
$82$	−2.84152	+	10.6047i	−0.313794	+	1.17109i
$83$	2.20388	−	0.590528i	0.241907	−	0.0648189i	−0.135828	−	0.990732i	$-0.543370\pi$
$83$	2.20388	−	0.590528i	0.241907	−	0.0648189i	0.377735	+	0.925914i	$0.376703\pi$
$84$	−5.44876	−	3.07413i	−0.594509	−	0.335415i
$85$	9.73469	−	8.79489i	1.05588	−	0.953940i
$86$	8.51362	+	4.91534i	0.918047	+	0.530035i
$87$	3.25227	+	0.836927i	0.348680	+	0.0897280i
$88$	−0.914213	−	3.41189i	−0.0974554	−	0.363709i
$89$	4.99187	+	8.64617i	0.529137	+	0.916492i	0.999423	+	0.0339780i	$0.0108176\pi$
$89$	4.99187	+	8.64617i	0.529137	+	0.916492i	−0.470286	+	0.882514i	$0.655849\pi$
$90$	4.06893	−	13.5061i	0.428903	−	1.42367i
$91$	−1.46765	−	2.54204i	−0.153851	−	0.266479i
$92$	11.1465	+	2.98671i	1.16211	+	0.311386i
$93$	3.15314	+	11.3170i	0.326966	+	1.17352i
$94$	13.8634	−	8.00404i	1.42990	−	0.825554i
$95$	−9.74616	−	0.110879i	−0.999935	−	0.0113759i
$96$	0.138207	+	13.9204i	0.0141057	+	1.42074i
$97$	−1.41361	+	5.27568i	−0.143531	+	0.535664i	0.856286	+	0.516503i	$0.172766\pi$
$97$	−1.41361	+	5.27568i	−0.143531	+	0.535664i	−0.999816	+	0.0191615i	$0.993900\pi$
$98$	9.69882	−	2.59879i	0.979729	−	0.262518i
$99$	6.18150	+	10.2320i	0.621264	+	1.02835i
$100$	−11.0444	+	4.96193i	−1.10444	+	0.496193i
$101$			16.8848i			1.68010i	0.542510	+	0.840049i	$0.317474\pi$
$101$			16.8848i			1.68010i	−0.542510	+	0.840049i	$0.682526\pi$
$102$	−5.32536	+	20.6942i	−0.527289	+	2.04903i
$103$	−7.37346	−	1.97571i	−0.726529	−	0.194673i	−0.123446	−	0.992351i	$-0.539395\pi$
$103$	−7.37346	−	1.97571i	−0.726529	−	0.194673i	−0.603083	+	0.797678i	$0.706061\pi$
$104$	0.872212	−	1.51072i	0.0855275	−	0.148138i
$105$	−2.68226	−	5.11646i	−0.261762	−	0.499316i
$106$	−3.62263	+	6.27457i	−0.351860	+	0.609440i
$107$	12.7581	−	12.7581i	1.23337	−	1.23337i	0.270709	−	0.962661i	$-0.412742\pi$
$107$	12.7581	−	12.7581i	1.23337	−	1.23337i	0.962661	−	0.270709i	$-0.0872582\pi$
$108$	3.61717	+	12.0517i	0.348063	+	1.15967i
$109$	8.91366	+	5.14630i	0.853774	+	0.492927i	0.861922	−	0.507040i	$-0.169260\pi$
$109$	8.91366	+	5.14630i	0.853774	+	0.492927i	−0.00814854	+	0.999967i	$0.502594\pi$
$110$	5.75968	−	17.8286i	0.549164	−	1.69989i
$111$	−4.77414	−	8.08266i	−0.453141	−	0.767172i
$112$	3.14216	+	3.14216i	0.296907	+	0.296907i
$113$	1.05641	−	3.94257i	0.0993785	−	0.370886i	−0.898268	−	0.439447i	$-0.855174\pi$
$113$	1.05641	−	3.94257i	0.0993785	−	0.370886i	0.997647	+	0.0685617i	$0.0218410\pi$
$114$	13.3413	−	8.60463i	1.24952	−	0.805897i
$115$	7.14344	+	7.90677i	0.666130	+	0.737310i
$116$	4.06608	+	2.34756i	0.377527	+	0.217965i
$117$	−1.41446	+	5.73174i	−0.130767	+	0.529899i
$118$	4.04034	+	1.08261i	0.371944	+	0.0996620i
$119$	4.37566	+	7.57886i	0.401116	+	0.694753i
$120$	1.83628	−	2.90082i	0.167629	−	0.264807i
$121$	2.43912	+	4.22467i	0.221738	+	0.384061i
$122$	8.02336	+	2.14985i	0.726401	+	0.194639i
$123$	2.25374	−	8.75798i	0.203213	−	0.789680i
$124$			16.4249i			1.47500i
$125$	−11.0514	−	1.69317i	−0.988466	−	0.151441i
$126$	8.24053	+	4.54195i	0.734125	+	0.404629i
$127$	4.34141	−	16.2024i	0.385238	−	1.43773i	−0.452554	−	0.891737i	$-0.649487\pi$
$127$	4.34141	−	16.2024i	0.385238	−	1.43773i	0.837792	−	0.545990i	$-0.183846\pi$
$128$	−1.79465	+	6.69773i	−0.158626	+	0.592001i
$129$	−7.05258	−	3.97898i	−0.620945	−	0.350330i
$130$	8.23725	−	4.21458i	0.722455	−	0.369643i
$131$			6.83464i			0.597146i	0.954387	+	0.298573i	$0.0965106\pi$
$131$			6.83464i			0.597146i	−0.954387	+	0.298573i	$0.903489\pi$
$132$	4.48573	+	16.0999i	0.390433	+	1.40132i
$133$	1.43472	−	6.34143i	0.124406	−	0.549871i
$134$	7.01690			0.606168
$135$	−3.24100	+	11.1578i	−0.278940	+	0.960308i
$136$	−2.60042	+	4.50406i	−0.222984	+	0.386220i
$137$	−4.84961	+	4.84961i	−0.414330	+	0.414330i	−0.883244	−	0.468914i	$-0.844645\pi$
$137$	−4.84961	+	4.84961i	−0.414330	+	0.414330i	0.468914	+	0.883244i	$0.344645\pi$
$138$	−16.8084	−	4.32540i	−1.43082	−	0.368202i
$139$	−14.5483	−	8.39945i	−1.23397	−	0.712432i	−0.266113	−	0.963942i	$-0.585739\pi$
$139$	−14.5483	−	8.39945i	−1.23397	−	0.712432i	−0.967855	+	0.251510i	$0.919073\pi$
$140$	−1.69253	−	7.89731i	−0.143045	−	0.667444i
$141$	−11.3534	+	6.70603i	−0.956126	+	0.564750i
$142$	−15.1405	−	15.1405i	−1.27057	−	1.27057i
$143$	−2.02955	+	7.57438i	−0.169719	+	0.633401i
$144$	−0.177452	−	8.93572i	−0.0147877	−	0.744643i
$145$	1.97476	+	3.85960i	0.163995	+	0.320522i
$146$		−	7.41778i		−	0.613900i
$147$	−7.96734	+	2.21985i	−0.657135	+	0.183090i
$148$	−3.39683	−	12.6771i	−0.279217	−	1.04205i
$149$	3.63308			0.297634			0.148817	−	0.988865i	$-0.452453\pi$
$149$	3.63308			0.297634			0.148817	+	0.988865i	$0.452453\pi$
$150$	16.5360	−	7.62737i	1.35016	−	0.622772i
$151$	8.20181	−	14.2060i	0.667454	−	1.15606i	−0.311160	−	0.950358i	$-0.600717\pi$
$151$	8.20181	−	14.2060i	0.667454	−	1.15606i	0.978614	−	0.205706i	$-0.0659492\pi$
$152$	3.69008	−	1.14592i	0.299305	−	0.0929462i
$153$	4.21709	−	17.0886i	0.340931	−	1.38153i
$154$	10.8236	+	6.24898i	0.872187	+	0.503557i
$155$	−8.23896	+	12.7338i	−0.661769	+	1.02280i
$156$	−4.05577	+	7.18870i	−0.324722	+	0.575556i
$157$	5.62479	+	5.62479i	0.448907	+	0.448907i	0.894991	−	0.446084i	$-0.147182\pi$
$157$	5.62479	+	5.62479i	0.448907	+	0.448907i	−0.446084	+	0.894991i	$0.647182\pi$
$158$	−26.7033	+	7.15512i	−2.12440	+	0.569231i
$159$	2.93252	−	5.19778i	0.232564	−	0.412211i
$160$	−13.3355	+	12.0481i	−1.05426	+	0.952485i
$161$	−6.15576	+	3.55403i	−0.485142	+	0.280097i
$162$	−5.61997	−	18.0710i	−0.441547	−	1.41979i
$163$	−4.67416	+	4.67416i	−0.366108	+	0.366108i	−0.866056	−	0.499948i	$-0.833353\pi$
$163$	−4.67416	+	4.67416i	−0.366108	+	0.366108i	0.499948	+	0.866056i	$0.333353\pi$
$164$	6.32168	−	10.9495i	0.493641	−	0.855011i
$165$	−4.59826	+	14.7319i	−0.357974	+	1.14688i
$166$	−4.79769			−0.372373
$167$	−3.36517	−	12.5590i	−0.260405	−	0.971843i	−0.965003	−	0.262237i	$-0.915540\pi$
$167$	−3.36517	−	12.5590i	−0.260405	−	0.971843i	0.704599	−	0.709606i	$-0.251127\pi$
$168$	1.63537	+	1.60321i	0.126171	+	0.123691i
$169$	7.90455	−	4.56369i	0.608042	−	0.351053i
$170$	−24.5586	+	12.5654i	−1.88356	+	0.963721i
$171$	−10.9184	+	7.19644i	−0.834950	+	0.550326i
$172$	−8.00528	−	8.00528i	−0.610397	−	0.610397i
$173$	−2.88979	+	10.7849i	−0.219707	+	0.819957i	0.764749	+	0.644328i	$0.222863\pi$
$173$	−2.88979	+	10.7849i	−0.219707	+	0.819957i	−0.984456	+	0.175630i	$0.943804\pi$
$174$	−6.15021	−	3.46988i	−0.466246	−	0.263051i
$175$	2.64922	−	6.97157i	0.200262	−	0.527001i
$176$		−	11.8712i		−	0.894826i
$177$	−3.33675	−	0.858666i	−0.250805	−	0.0645413i
$178$	−5.43347	−	20.2780i	−0.407256	−	1.51990i
$179$	21.5237			1.60876			0.804378	−	0.594118i	$-0.202499\pi$
$179$	21.5237			1.60876			0.804378	+	0.594118i	$0.202499\pi$
$180$	−8.55181	+	13.8110i	−0.637414	+	1.02941i
$181$	8.88122	+	15.3827i	0.660136	+	1.14339i	0.980580	+	0.196121i	$0.0628346\pi$
$181$	8.88122	+	15.3827i	0.660136	+	1.14339i	−0.320444	+	0.947268i	$0.603832\pi$
$182$	1.59748	+	5.96189i	0.118413	+	0.441925i
$183$	−6.62615	−	1.70515i	−0.489819	−	0.126048i
$184$	−3.65832	−	2.11213i	−0.269695	−	0.155708i
$185$	3.72555	−	11.5321i	0.273908	−	0.847859i
$186$	−0.245253	−	24.7021i	−0.0179828	−	1.81125i
$187$	6.05091	−	22.5823i	0.442486	−	1.65138i
$188$	−17.8070	+	4.77137i	−1.29871	+	0.347988i
$189$	−6.82459	−	3.67366i	−0.496416	−	0.267220i
$190$	19.7351	+	5.52938i	1.43174	+	0.401143i
$191$	−7.98615	−	4.61080i	−0.577857	−	0.333626i	0.182424	−	0.983220i	$-0.441606\pi$
$191$	−7.98615	−	4.61080i	−0.577857	−	0.333626i	−0.760281	+	0.649594i	$0.774939\pi$
$192$	4.72325	−	18.3544i	0.340871	−	1.32461i
$193$	4.45772	−	4.45772i	0.320874	−	0.320874i	−0.528228	−	0.849102i	$-0.677144\pi$
$193$	4.45772	−	4.45772i	0.320874	−	0.320874i	0.849102	+	0.528228i	$0.177144\pi$
$194$	5.74239	−	9.94611i	0.412279	−	0.714089i
$195$	−6.75028	+	3.53877i	−0.483398	+	0.253417i
$196$	−11.5633			−0.825952
$197$	13.7063	−	13.7063i	0.976533	−	0.976533i	−0.0231984	−	0.999731i	$-0.507385\pi$
$197$	13.7063	−	13.7063i	0.976533	−	0.976533i	0.999731	+	0.0231984i	$0.00738493\pi$
$198$	−6.98669	−	24.1463i	−0.496522	−	1.71601i
$199$	7.16594	−	4.13726i	0.507980	−	0.293282i	−0.224023	−	0.974584i	$-0.571919\pi$
$199$	7.16594	−	4.13726i	0.507980	−	0.293282i	0.732003	+	0.681301i	$0.238586\pi$
$200$	4.37528	−	0.708094i	0.309379	−	0.0500698i
$201$	−5.77958	+	0.0573820i	−0.407660	+	0.00404742i
$202$	9.18924	−	34.2947i	0.646553	−	2.41297i
$203$	−2.79347	+	0.748508i	−0.196063	+	0.0525350i
$204$	12.0919	−	21.4324i	0.846603	−	1.50057i
$205$	10.3934	−	5.31779i	0.725910	−	0.371411i
$206$	13.9010	+	8.02575i	0.968529	+	0.559180i
$207$	13.8799	+	3.42523i	0.964717	+	0.238070i
$208$	4.14554	−	4.14554i	0.287441	−	0.287441i
$209$	−14.6893	+	9.26885i	−1.01608	+	0.641140i
$210$	2.66339	+	11.8518i	0.183792	+	0.817854i
$211$	−16.2607			−1.11943			−0.559716	−	0.828685i	$-0.689090\pi$
$211$	−16.2607			−1.11943			−0.559716	+	0.828685i	$0.689090\pi$
$212$	5.89992	−	5.89992i	0.405208	−	0.405208i
$213$	12.5946	+	12.3469i	0.862965	+	0.845998i
$214$	−32.8563	+	18.9696i	−2.24601	+	1.29674i
$215$	−2.19072	−	10.2218i	−0.149406	−	0.697123i
$216$	−0.137168	−	4.60404i	−0.00933313	−	0.313265i
$217$	−7.15389	−	7.15389i	−0.485638	−	0.485638i
$218$	−15.3038	−	15.3038i	−1.03650	−	1.03650i
$219$	0.0606603	+	6.10978i	0.00409905	+	0.412860i
$220$	−11.7209	+	18.1154i	−0.790225	+	1.22134i
$221$	9.99899	−	5.77292i	0.672605	−	0.388329i
$222$	5.29792	+	19.0150i	0.355573	+	1.27620i
$223$	−3.96697	−	1.06295i	−0.265648	−	0.0711801i	0.123536	−	0.992340i	$-0.460576\pi$
$223$	−3.96697	−	1.06295i	−0.265648	−	0.0711801i	−0.389184	+	0.921160i	$0.627243\pi$
$224$	−5.99420	−	10.3823i	−0.400504	−	0.693694i
$225$	−13.5578	+	6.41763i	−0.903853	+	0.427842i
$226$	−4.29134	+	7.43282i	−0.285456	+	0.494424i
$227$	−0.526536	−	1.96506i	−0.0349474	−	0.130426i	0.946248	−	0.323441i	$-0.104840\pi$
$227$	−0.526536	−	1.96506i	−0.0349474	−	0.130426i	−0.981196	+	0.193016i	$0.938173\pi$
$228$	−17.4052	+	5.59508i	−1.15269	+	0.370543i
$229$	−9.68403	+	5.59108i	−0.639939	+	0.369469i	−0.784591	−	0.620014i	$-0.787127\pi$
$229$	−9.68403	+	5.59108i	−0.639939	+	0.369469i	0.144652	+	0.989483i	$0.453794\pi$
$230$	−10.2059	−	19.9472i	−0.672960	−	1.31528i
$231$	−8.96610	−	5.05856i	−0.589926	−	0.332829i
$232$	−1.21530	−	1.21530i	−0.0797887	−	0.0797887i
$233$	−25.7775	+	6.90706i	−1.68874	+	0.452497i	−0.970064	−	0.242848i	$-0.921918\pi$
$233$	−25.7775	+	6.90706i	−1.68874	+	0.452497i	−0.718676	+	0.695345i	$0.755252\pi$
$234$	5.99231	−	10.8719i	0.391730	−	0.710721i
$235$	−16.1987	−	5.23312i	−1.05669	−	0.341371i
$236$	−4.17170	−	2.40853i	−0.271554	−	0.156782i
$237$	21.9361	−	6.11180i	1.42490	−	0.397004i
$238$	−4.76275	−	17.7748i	−0.308723	−	1.15217i
$239$	−11.2236	−	19.4399i	−0.725996	−	1.25746i	−0.958563	−	0.284881i	$-0.908046\pi$
$239$	−11.2236	−	19.4399i	−0.725996	−	1.25746i	0.232567	−	0.972580i	$-0.425287\pi$
$240$	8.48435	−	7.81964i	0.547662	−	0.504755i
$241$	−17.9011			−1.15311			−0.576555	−	0.817058i	$-0.695603\pi$
$241$	−17.9011			−1.15311			−0.576555	+	0.817058i	$0.695603\pi$
$242$	−2.65489	−	9.90819i	−0.170663	−	0.636923i
$243$	4.77676	+	14.8385i	0.306429	+	0.951893i
$244$	−8.28421	−	4.78289i	−0.530342	−	0.306193i
$245$	−8.96474	−	5.80033i	−0.572736	−	0.370569i
$246$	−9.34396	+	16.5618i	−0.595749	+	1.05594i
$247$	−8.36641	−	1.89287i	−0.532342	−	0.120440i
$248$	1.55616	−	5.80766i	0.0988161	−	0.368787i
$249$	3.95169	−	0.0392340i	0.250428	−	0.00248636i
$250$	21.5250	+	9.45351i	1.36136	+	0.597893i
$251$	−4.20084	+	2.42536i	−0.265155	+	0.153087i	−0.626684	−	0.779274i	$-0.715588\pi$
$251$	−4.20084	+	2.42536i	−0.265155	+	0.153087i	0.361529	+	0.932361i	$0.382255\pi$
$252$	−7.81280	−	7.50853i	−0.492160	−	0.472993i
$253$	18.3420	+	4.91471i	1.15315	+	0.308985i
$254$	−17.6357	+	30.5459i	−1.10656	+	1.91662i
$255$	20.1253	−	10.5505i	1.26030	−	0.660699i
$256$	−3.65192	+	6.32531i	−0.228245	+	0.395332i
$257$	−6.44865	−	24.0667i	−0.402256	−	1.50124i	−0.809062	−	0.587724i	$-0.800024\pi$
$257$	−6.44865	−	24.0667i	−0.402256	−	1.50124i	0.406806	−	0.913515i	$-0.366642\pi$
$258$	12.1590	+	11.9199i	0.756987	+	0.742104i
$259$	7.00103	+	4.04205i	0.435023	+	0.251161i
$260$	−10.4191	+	2.23300i	−0.646167	+	0.138485i
$261$	5.09410	+	2.80773i	0.315317	+	0.173794i
$262$	3.71963	−	13.8819i	0.229800	−	0.857624i
$263$	4.74303	−	17.7012i	0.292468	−	1.09150i	−0.650740	−	0.759301i	$-0.725541\pi$
$263$	4.74303	−	17.7012i	0.292468	−	1.09150i	0.943208	−	0.332204i	$-0.107792\pi$
$264$	−0.0607393	−	6.11773i	−0.00373825	−	0.376520i
$265$	7.53353	−	1.61457i	0.462781	−	0.0991822i
$266$	−6.36527	+	12.0993i	−0.390280	+	0.741853i
$267$	4.64119	+	16.6579i	0.284036	+	1.01944i
$268$	−7.80543	−	2.09146i	−0.476793	−	0.127756i
$269$	15.4039	−	26.6803i	0.939189	−	1.62672i	0.172202	−	0.985062i	$-0.444912\pi$
$269$	15.4039	−	26.6803i	0.939189	−	1.62672i	0.766988	−	0.641662i	$-0.221755\pi$
$270$	12.6552	−	20.8987i	0.770172	−	1.27186i
$271$	13.0291	−	22.5670i	0.791460	−	1.37085i	−0.133603	−	0.991035i	$-0.542655\pi$
$271$	13.0291	−	22.5670i	0.791460	−	1.37085i	0.925063	−	0.379814i	$-0.124012\pi$
$272$	−12.3595	+	12.3595i	−0.749407	+	0.749407i
$273$	−1.36455	−	4.89754i	−0.0825862	−	0.296413i
$274$	12.4894	−	7.21074i	0.754510	−	0.435616i
$275$	−18.1738	+	8.16499i	−1.09592	+	0.492367i
$276$	17.4080	+	9.82138i	1.04784	+	0.591177i
$277$	−22.9560	+	6.15104i	−1.37929	+	0.369580i	−0.870864	−	0.491524i	$-0.836440\pi$
$277$	−22.9560	+	6.15104i	−1.37929	+	0.369580i	−0.508429	+	0.861104i	$0.669773\pi$
$278$	24.9778	+	24.9778i	1.49807	+	1.49807i
$279$	0.404013	+	20.3443i	0.0241876	+	1.21798i
$280$	−0.149760	+	2.95275i	−0.00894990	+	0.176461i
$281$		−	3.33534i		−	0.198969i	−0.995039	−	0.0994847i	$-0.968281\pi$
$281$		−	3.33534i		−	0.198969i	0.995039	−	0.0994847i	$-0.0317194\pi$
$282$	26.7095	−	7.44176i	1.59053	−	0.443151i
$283$	6.80964	−	6.80964i	0.404791	−	0.404791i	−0.475126	−	0.879918i	$-0.657598\pi$
$283$	6.80964	−	6.80964i	0.404791	−	0.404791i	0.879918	+	0.475126i	$0.157598\pi$
$284$	12.3292	+	21.3548i	0.731602	+	1.26717i
$285$	−16.3004	−	4.39298i	−0.965550	−	0.260218i
$286$	8.24444	−	14.2798i	0.487504	−	0.844382i
$287$	2.01564	+	7.52248i	0.118980	+	0.444038i
$288$	−5.77697	+	23.4097i	−0.340411	+	1.37943i
$289$	−15.0886	+	8.71142i	−0.887566	+	0.512437i
$290$	−1.91042	−	8.91397i	−0.112184	−	0.523446i
$291$	−4.64848	+	8.23923i	−0.272498	+	0.482992i
$292$	−2.21095	+	8.25136i	−0.129386	+	0.482874i
$293$	−0.429925	+	1.60450i	−0.0251165	+	0.0937360i	−0.977346	−	0.211646i	$-0.932118\pi$
$293$	−0.429925	+	1.60450i	−0.0251165	+	0.0937360i	0.952230	+	0.305382i	$0.0987842\pi$
$294$	17.3906	−	0.172661i	1.01424	−	0.0100698i
$295$	−2.02605	−	3.95985i	−0.117961	−	0.230551i
$296$			4.80431i			0.279245i
$297$	5.95216	+	19.8314i	0.345379	+	1.15073i
$298$	−7.37916	−	1.97724i	−0.427464	−	0.114539i
$299$	4.68892	+	8.12145i	0.271167	+	0.469675i
$300$	−20.6677	+	3.55576i	−1.19325	+	0.205292i
$301$	6.97342			0.401941
$302$	−24.3900	+	24.3900i	−1.40349	+	1.40349i
$303$	−7.28841	+	28.3225i	−0.418708	+	1.62709i
$304$	12.9758	−	0.510204i	0.744215	−	0.0292622i
$305$	−4.02336	−	7.86352i	−0.230377	−	0.450264i
$306$	−17.8655	+	32.4137i	−1.02130	+	1.85297i
$307$	−29.9077	+	8.01374i	−1.70692	+	0.457368i	−0.974667	−	0.223662i	$-0.928199\pi$
$307$	−29.9077	+	8.01374i	−1.70692	+	0.457368i	−0.732255	+	0.681030i	$0.761532\pi$
$308$	−10.1773	−	10.1773i	−0.579905	−	0.579905i
$309$	−11.5154	−	6.49686i	−0.655089	−	0.369594i
$310$	23.6643	−	21.3797i	1.34404	−	1.21429i
$311$	7.43476	−	4.29246i	0.421587	−	0.243403i	−0.274169	−	0.961681i	$-0.588403\pi$
$311$	7.43476	−	4.29246i	0.421587	−	0.243403i	0.695756	+	0.718278i	$0.255070\pi$
$312$	2.11516	−	2.15758i	0.119747	−	0.122149i
$313$	23.1091	−	23.1091i	1.30621	−	1.30621i	0.382074	−	0.924132i	$-0.375210\pi$
$313$	23.1091	−	23.1091i	1.30621	−	1.30621i	0.924132	−	0.382074i	$-0.124790\pi$
$314$	−8.36334	−	14.4857i	−0.471970	−	0.817477i
$315$	−2.29067	−	9.74017i	−0.129065	−	0.548797i
$316$	31.8367			1.79096
$317$	3.76250	−	3.76250i	0.211323	−	0.211323i	−0.593506	−	0.804829i	$-0.702257\pi$
$317$	3.76250	−	3.76250i	0.211323	−	0.211323i	0.804829	+	0.593506i	$0.202257\pi$
$318$	−8.78505	+	8.96124i	−0.492641	+	0.502521i
$319$	6.69086	+	3.86297i	0.374616	+	0.216285i
$320$	21.7819	−	11.1447i	1.21764	−	0.623006i
$321$	26.9075	−	15.8933i	1.50183	−	0.887078i
$322$	14.4372	−	3.86843i	0.804553	−	0.215579i
$323$	24.9437	+	5.64340i	1.38790	+	0.314007i
$324$	0.865265	+	21.7769i	0.0480703	+	1.20983i
$325$	−9.19777	−	3.49519i	−0.510201	−	0.193878i
$326$	12.0375	−	6.94986i	0.666696	−	0.384917i
$327$	12.7303	+	12.4800i	0.703990	+	0.690148i
$328$	−3.27267	+	3.27267i	−0.180703	+	0.180703i
$329$	5.67769	−	9.83404i	0.313021	−	0.542168i
$330$	17.3571	−	27.4195i	0.955478	−	1.50939i
$331$	14.2781	−	24.7305i	0.784797	−	1.35931i	−0.144323	−	0.989531i	$-0.546100\pi$
$331$	14.2781	−	24.7305i	0.784797	−	1.35931i	0.929120	−	0.369778i	$-0.120566\pi$
$332$	5.33683	+	1.43000i	0.292897	+	0.0784815i
$333$	−4.51922	−	15.6187i	−0.247652	−	0.855897i
$334$			27.3400i			1.49598i
$335$	−5.00224	−	5.53676i	−0.273301	−	0.302506i
$336$	3.91433	+	6.62700i	0.213544	+	0.361533i
$337$	22.7193	+	22.7193i	1.23760	+	1.23760i	0.960979	+	0.276622i	$0.0892149\pi$
$337$	22.7193	+	22.7193i	1.23760	+	1.23760i	0.276622	+	0.960979i	$0.410785\pi$
$338$	−18.5386	+	4.96742i	−1.00837	+	0.270192i
$339$	3.47385	−	6.15726i	0.188674	−	0.334417i
$340$	31.0636	−	6.65749i	1.68466	−	0.361053i
$341$			27.0276i			1.46363i
$342$	26.0929	−	8.67457i	1.41094	−	0.469067i
$343$	12.4194	−	12.4194i	0.670586	−	0.670586i
$344$	2.07212	+	3.58902i	0.111721	+	0.193507i
$345$	8.56941	+	16.3463i	0.461362	+	0.880057i
$346$	11.7389	−	20.3324i	0.631089	−	1.09308i
$347$	−19.2063	+	19.2063i	−1.03105	+	1.03105i	−0.0315476	+	0.999502i	$0.510044\pi$
$347$	−19.2063	+	19.2063i	−1.03105	+	1.03105i	−0.999502	+	0.0315476i	$0.989956\pi$
$348$	5.80712	+	5.69294i	0.311294	+	0.305174i
$349$	−26.5844	−	15.3485i	−1.42303	−	0.821585i	−0.426471	−	0.904501i	$-0.640243\pi$
$349$	−26.5844	−	15.3485i	−1.42303	−	0.821585i	−0.996557	+	0.0829158i	$0.973577\pi$
$350$	−9.17500	+	12.7182i	−0.490424	+	0.679815i
$351$	−4.84676	+	9.00386i	−0.258701	+	0.480591i
$352$	−8.28912	+	30.9354i	−0.441811	+	1.64886i
$353$	13.4551	−	3.60527i	0.716141	−	0.191889i	0.117692	−	0.993050i	$-0.462451\pi$
$353$	13.4551	−	3.60527i	0.716141	−	0.191889i	0.598449	+	0.801161i	$0.295784\pi$
$354$	6.30996	+	3.56000i	0.335370	+	0.189212i
$355$	−1.15336	+	22.7403i	−0.0612140	+	1.20693i
$356$			24.1762i			1.28134i
$357$	4.06827	+	14.6016i	0.215316	+	0.772797i
$358$	−43.7168	−	11.7139i	−2.31050	−	0.619098i
$359$	14.2593	−	24.6979i	0.752578	−	1.30350i	−0.193992	−	0.981003i	$-0.562144\pi$
$359$	14.2593	−	24.6979i	0.752578	−	1.30350i	0.946570	−	0.322500i	$-0.104523\pi$
$360$	4.33233	−	4.07320i	0.228334	−	0.214676i
$361$	−10.7626	−	15.6578i	−0.566455	−	0.824093i
$362$	−9.66689	−	36.0773i	−0.508080	−	1.89618i
$363$	2.26777	+	8.13933i	0.119027	+	0.427204i
$364$		−	7.10801i		−	0.372561i
$365$	−5.85308	+	5.28802i	−0.306364	+	0.276788i
$366$	12.5304	+	7.06950i	0.654974	+	0.369529i
$367$	16.2711	+	16.2711i	0.849343	+	0.849343i	0.990051	−	0.140708i	$-0.0449378\pi$
$367$	16.2711	+	16.2711i	0.849343	+	0.849343i	−0.140708	+	0.990051i	$0.544938\pi$
$368$	−10.0387	−	10.0387i	−0.523306	−	0.523306i
$369$	7.56087	−	13.7178i	0.393603	−	0.714120i
$370$	−13.8431	+	21.3954i	−0.719670	+	1.11229i
$371$			5.13944i			0.266826i
$372$	−7.08991	+	27.5511i	−0.367594	+	1.42846i
$373$	−14.2093	−	3.80737i	−0.735729	−	0.197138i	−0.128550	−	0.991703i	$-0.541032\pi$
$373$	−14.2093	−	3.80737i	−0.735729	−	0.197138i	−0.607179	+	0.794565i	$0.707699\pi$
$374$	−24.5800	+	42.5739i	−1.27100	+	2.20144i
$375$	−17.8067	−	7.61052i	−0.919536	−	0.393005i
$376$	6.74841			0.348023
$377$	0.987526	+	3.68550i	0.0508602	+	0.189813i
$378$	11.8621	+	11.1757i	0.610121	+	0.574819i
$379$			10.3887i			0.533632i	0.963748	+	0.266816i	$0.0859716\pi$
$379$			10.3887i			0.533632i	−0.963748	+	0.266816i	$0.914028\pi$
$380$	−20.3048	−	12.0330i	−1.04161	−	0.617280i
$381$	14.2761	−	25.3039i	0.731388	−	1.29636i
$382$	13.7113	+	13.7113i	0.701533	+	0.701533i
$383$	24.8247	+	24.8247i	1.26848	+	1.26848i	0.946872	+	0.321609i	$0.104224\pi$
$383$	24.8247	+	24.8247i	1.26848	+	1.26848i	0.321609	+	0.946872i	$0.395776\pi$
$384$	−5.90146	+	10.4601i	−0.301158	+	0.533790i
$385$	−2.78511	−	12.9952i	−0.141942	−	0.662299i
$386$	−11.4801	+	6.62805i	−0.584323	+	0.337359i
$387$	−10.1124	−	9.71863i	−0.514045	−	0.494026i
$388$	−9.35223	+	9.35223i	−0.474788	+	0.474788i
$389$	1.83900			0.0932409			0.0466205	−	0.998913i	$-0.485155\pi$
$389$	1.83900			0.0932409			0.0466205	+	0.998913i	$0.485155\pi$
$390$	15.6364	−	3.51388i	0.791781	−	0.177932i
$391$	−13.9796	−	24.2133i	−0.706978	−	1.22452i
$392$	4.08866	+	1.09555i	0.206509	+	0.0553338i
$393$	−2.95021	+	11.4644i	−0.148819	+	0.578304i
$394$	−35.2983	+	20.3795i	−1.77830	+	1.02670i
$395$	24.6822	+	15.9697i	1.24189	+	0.803525i
$396$	0.574758	+	28.9423i	0.0288827	+	1.45440i
$397$	12.5231	−	3.35556i	0.628518	−	0.168411i	0.0695210	−	0.997580i	$-0.477853\pi$
$397$	12.5231	−	3.35556i	0.628518	−	0.168411i	0.558997	+	0.829170i	$0.311186\pi$
$398$	−16.8064	+	4.50326i	−0.842428	+	0.225728i
$399$	5.14392	−	10.0178i	0.257518	−	0.501518i
$400$	14.8194	+	1.50712i	0.740968	+	0.0753560i
$401$			8.72701i			0.435806i	0.975970	+	0.217903i	$0.0699217\pi$
$401$			8.72701i			0.435806i	−0.975970	+	0.217903i	$0.930078\pi$
$402$	11.7702	+	3.02889i	0.587042	+	0.151067i
$403$	−9.43831	+	9.43831i	−0.470156	+	0.470156i
$404$	−20.4438	+	35.4097i	−1.01712	+	1.76170i
$405$	−10.2528	+	17.3171i	−0.509464	+	0.860492i
$406$	6.08118			0.301804
$407$	−5.58957	−	20.8606i	−0.277065	−	1.03402i
$408$	−6.30615	+	6.43263i	−0.312201	+	0.318462i
$409$	−0.866798	−	0.500446i	−0.0428604	−	0.0247455i	0.478417	−	0.878133i	$-0.341211\pi$
$409$	−0.866798	−	0.500446i	−0.0428604	−	0.0247455i	−0.521277	+	0.853387i	$0.674544\pi$
$410$	−24.0043	+	5.14454i	−1.18549	+	0.254071i
$411$	−10.2281	+	6.04137i	−0.504515	+	0.297999i
$412$	−13.0710	−	13.0710i	−0.643961	−	0.643961i
$413$	2.86603	−	0.767950i	0.141028	−	0.0377883i
$414$	−26.3273	−	14.5109i	−1.29391	−	0.713170i
$415$	3.42020	+	3.78567i	0.167891	+	0.185831i
$416$	−13.6976	+	7.90830i	−0.671579	+	0.387736i
$417$	−20.7776	−	20.3691i	−1.01748	−	0.997478i
$418$	34.8798	−	10.8316i	1.70603	−	0.529791i
$419$	−12.5351	−	21.7114i	−0.612380	−	1.06067i	−0.990838	−	0.135055i	$-0.956879\pi$
$419$	−12.5351	−	21.7114i	−0.612380	−	1.06067i	0.378458	−	0.925618i	$-0.376454\pi$
$420$	0.569864	−	13.9775i	0.0278065	−	0.682034i
$421$	6.58829	+	11.4112i	0.321093	+	0.556150i	0.980714	−	0.195449i	$-0.0626163\pi$
$421$	6.58829	+	11.4112i	0.321093	+	0.556150i	−0.659620	+	0.751599i	$0.729283\pi$
$422$	33.0271	+	8.84959i	1.60773	+	0.430791i
$423$	−21.9388	+	6.34795i	−1.06670	+	0.308648i
$424$	−2.64513	+	1.52716i	−0.128459	+	0.0741656i
$425$	27.4223	+	10.4206i	1.33018	+	0.505472i
$426$	−18.8612	−	31.9322i	−0.913830	−	1.54712i
$427$	5.69139	−	1.52500i	0.275426	−	0.0738001i
$428$	42.2027	−	11.3082i	2.03994	−	0.546601i
$429$	−6.67389	+	11.8292i	−0.322219	+	0.571119i
$430$	−1.11347	+	21.9539i	−0.0536965	+	1.05871i
$431$	23.9087	−	13.8037i	1.15164	−	0.664899i	0.202353	−	0.979313i	$-0.435141\pi$
$431$	23.9087	−	13.8037i	1.15164	−	0.664899i	0.949286	+	0.314413i	$0.101808\pi$
$432$	3.55950	−	15.0654i	0.171256	−	0.724833i
$433$	13.1008	+	3.51034i	0.629583	+	0.168696i	0.559481	−	0.828843i	$-0.311001\pi$
$433$	13.1008	+	3.51034i	0.629583	+	0.168696i	0.0701027	+	0.997540i	$0.477667\pi$
$434$	10.6369	+	18.4237i	0.510588	+	0.884364i
$435$	1.64645	+	7.32652i	0.0789410	+	0.351280i
$436$	12.4621	+	21.5850i	0.596826	+	1.03373i
$437$	−4.58372	+	20.2599i	−0.219269	+	0.969163i
$438$	3.20193	−	12.4426i	0.152994	−	0.594530i
$439$	−0.804487	+	0.464471i	−0.0383961	+	0.0221680i	−0.519075	−	0.854729i	$-0.673724\pi$
$439$	−0.804487	+	0.464471i	−0.0383961	+	0.0221680i	0.480679	+	0.876897i	$0.340390\pi$
$440$	5.86071	−	5.29490i	0.279398	−	0.252425i
$441$	−14.3226	+	0.284430i	−0.682030	+	0.0135443i
$442$	−23.4508	+	6.28362i	−1.11544	+	0.298881i
$443$	8.67650	+	8.67650i	0.412233	+	0.412233i	0.882516	−	0.470283i	$-0.155848\pi$
$443$	8.67650	+	8.67650i	0.412233	+	0.412233i	−0.470283	+	0.882516i	$0.655848\pi$
$444$	−0.225681	−	22.7309i	−0.0107104	−	1.07876i
$445$	−12.1271	+	18.7432i	−0.574882	+	0.888513i
$446$	7.47883	+	4.31790i	0.354133	+	0.204459i
$447$	6.09414	+	1.56824i	0.288243	+	0.0741753i
$448$	4.22425	+	15.7651i	0.199577	+	0.744831i
$449$	−38.5439			−1.81900			−0.909499	−	0.415706i	$-0.863535\pi$
$449$	−38.5439			−1.81900			−0.909499	+	0.415706i	$0.863535\pi$
$450$	31.0300	−	5.65627i	1.46277	−	0.266639i
$451$	10.4025	−	18.0177i	0.489835	−	0.848419i
$452$	6.98902	−	6.98902i	0.328736	−	0.328736i
$453$	19.8898	−	20.2887i	0.934505	−	0.953247i
$454$			4.27779i			0.200767i
$455$	3.56548	−	5.51065i	0.167152	−	0.258343i
$456$	6.68438	−	0.329321i	0.313025	−	0.0154219i
$457$	−11.2836	+	3.02344i	−0.527826	+	0.141431i	−0.512884	−	0.858458i	$-0.671423\pi$
$457$	−11.2836	+	3.02344i	−0.527826	+	0.141431i	−0.0149420	+	0.999888i	$0.504756\pi$
$458$	22.7121	−	6.08569i	1.06127	−	0.284365i
$459$	14.4502	−	26.8442i	0.674476	−	1.25298i
$460$	5.40739	+	25.2307i	0.252121	+	1.17639i
$461$	9.46436	−	5.46425i	0.440799	−	0.254496i	−0.263137	−	0.964758i	$-0.584757\pi$
$461$	9.46436	−	5.46425i	0.440799	−	0.254496i	0.703937	+	0.710263i	$0.251424\pi$
$462$	15.4580	+	15.1541i	0.719172	+	0.705032i
$463$	17.7284	+	4.75032i	0.823911	+	0.220766i	0.646055	−	0.763291i	$-0.276417\pi$
$463$	17.7284	+	4.75032i	0.823911	+	0.220766i	0.177855	+	0.984057i	$0.443084\pi$
$464$	−2.88811	−	5.00235i	−0.134077	−	0.232228i
$465$	−19.3166	+	17.8033i	−0.895788	+	0.825607i
$466$	56.1158			2.59951
$467$	6.58313	−	6.58313i	0.304631	−	0.304631i	−0.538191	−	0.842823i	$-0.680892\pi$
$467$	6.58313	−	6.58313i	0.304631	−	0.304631i	0.842823	+	0.538191i	$0.180892\pi$
$468$	−9.90620	+	10.3076i	−0.457914	+	0.476470i
$469$	4.31060	−	2.48873i	0.199045	−	0.114919i
$470$	30.0531	+	19.4448i	1.38625	+	0.896924i
$471$	7.00706	+	11.8630i	0.322868	+	0.546619i
$472$	1.24687	+	1.24687i	0.0573919	+	0.0573919i
$473$	−13.1729	−	13.1729i	−0.605691	−	0.605691i
$474$	−47.8806	+	0.475378i	−2.19923	+	0.0218348i
$475$	−9.70583	−	19.5140i	−0.445334	−	0.895365i
$476$			21.1919i			0.971328i
$477$	7.16267	−	7.45291i	0.327956	−	0.341246i
$478$	12.2165	+	45.5926i	0.558770	+	2.08536i
$479$	−14.9743			−0.684193			−0.342097	−	0.939665i	$-0.611137\pi$
$479$	−14.9743			−0.684193			−0.342097	+	0.939665i	$0.611137\pi$
$480$	−27.5696	+	14.4531i	−1.25838	+	0.659691i
$481$	5.33278	−	9.23664i	0.243154	−	0.421155i
$482$	36.3589	+	9.74234i	1.65610	+	0.443751i
$483$	−11.8598	+	3.30436i	−0.539639	+	0.150354i
$484$			11.8129i			0.536952i
$485$	−11.9417	+	2.55933i	−0.542247	+	0.116213i
$486$	−1.62648	−	32.7383i	−0.0737785	−	1.48504i
$487$	27.5245	+	27.5245i	1.24726	+	1.24726i	0.956927	+	0.290328i	$0.0937645\pi$
$487$	27.5245	+	27.5245i	1.24726	+	1.24726i	0.290328	+	0.956927i	$0.406235\pi$
$488$	2.47605	+	2.47605i	0.112086	+	0.112086i
$489$	−9.85806	+	5.82280i	−0.445797	+	0.263316i
$490$	15.0516	+	16.6600i	0.679961	+	0.752620i
$491$			15.8954i			0.717351i	0.933462	+	0.358675i	$0.116771\pi$
$491$			15.8954i			0.717351i	−0.933462	+	0.358675i	$0.883229\pi$
$492$	15.3304	−	15.6379i	0.691148	−	0.705010i
$493$	−2.94422	−	10.9880i	−0.132601	−	0.494873i
$494$	15.9629	+	8.39787i	0.718203	+	0.377838i
$495$	−14.0722	+	22.7265i	−0.632500	+	1.02148i
$496$	10.1035	−	17.4997i	0.453659	−	0.785761i
$497$	−14.6711	−	3.93110i	−0.658088	−	0.176334i
$498$	−8.04765	−	2.07095i	−0.360624	−	0.0928015i
$499$			4.84719i			0.216990i	0.994097	+	0.108495i	$0.0346032\pi$
$499$			4.84719i			0.216990i	−0.994097	+	0.108495i	$0.965397\pi$
$500$	−21.1262	−	16.9316i	−0.944792	−	0.757205i
$501$	−0.223578	−	22.5190i	−0.00998873	−	1.00608i
$502$	9.85230	−	2.63992i	0.439730	−	0.117825i
$503$	−1.15923	+	4.32630i	−0.0516874	+	0.192900i	−0.986942	−	0.161075i	$-0.948504\pi$
$503$	−1.15923	+	4.32630i	−0.0516874	+	0.192900i	0.935255	+	0.353976i	$0.115170\pi$
$504$	2.05113	+	3.39515i	0.0913645	+	0.151232i
$505$	−33.6115	+	17.1973i	−1.49569	+	0.765269i
$506$	−34.5796	−	19.9646i	−1.53725	−	0.887533i
$507$	15.2290	−	4.24310i	0.676345	−	0.188443i
$508$	28.7220	−	28.7220i	1.27433	−	1.27433i
$509$	17.0531	−	29.5369i	0.755866	−	1.30920i	−0.189076	−	0.981962i	$-0.560549\pi$
$509$	17.0531	−	29.5369i	0.755866	−	1.30920i	0.944942	−	0.327236i	$-0.106117\pi$
$510$	−46.6185	+	10.4763i	−2.06430	+	0.463899i
$511$	−2.63091	−	4.55687i	−0.116385	−	0.201584i
$512$	20.6660	−	20.6660i	0.913317	−	0.913317i
$513$	−21.4209	+	7.35833i	−0.945756	+	0.324878i
$514$			52.3914i			2.31089i
$515$	−3.57700	−	16.6902i	−0.157621	−	0.735457i
$516$	−9.97253	−	16.8836i	−0.439016	−	0.743258i
$517$	−29.3019	+	7.85143i	−1.28870	+	0.345305i
$518$	−12.0200	−	12.0200i	−0.528128	−	0.528128i
$519$	−9.50269	+	16.8431i	−0.417122	+	0.739331i
$520$	3.89564	+	0.197583i	0.170835	+	0.00866458i
$521$			0.539364i			0.0236300i	0.999930	+	0.0118150i	$0.00376092\pi$
$521$			0.539364i			0.0236300i	−0.999930	+	0.0118150i	$0.996239\pi$
$522$	−8.81858	−	8.47515i	−0.385979	−	0.370947i
$523$	27.8650	+	7.46640i	1.21845	+	0.326483i	0.810072	−	0.586330i	$-0.199428\pi$
$523$	27.8650	+	7.46640i	1.21845	+	0.326483i	0.408378	+	0.912813i	$0.366095\pi$
$524$	−8.27526	+	14.3332i	−0.361506	+	0.626147i
$525$	7.45313	−	10.5506i	0.325281	−	0.460464i
$526$	−19.2672	+	33.3717i	−0.840088	+	1.45507i
$527$	28.1394	−	28.1394i	1.22577	−	1.22577i
$528$	5.12428	−	19.9128i	0.223006	−	0.866592i
$529$	−0.251864	+	0.145414i	−0.0109506	+	0.00632234i
$530$	−16.1801	−	0.820635i	−0.702818	−	0.0356461i
$531$	−5.22641	−	2.88065i	−0.226807	−	0.125010i
$532$	10.6869	−	11.5617i	0.463335	−	0.501263i
$533$	9.92460	−	2.65929i	0.429882	−	0.115187i
$534$	−0.360994	−	36.3597i	−0.0156217	−	1.57344i
$535$	38.3909	+	12.4025i	1.65978	+	0.536208i
$536$	2.56176	+	1.47903i	0.110651	+	0.0638844i
$537$	36.1038	+	9.29082i	1.55800	+	0.400929i
$538$	−45.8070	+	45.8070i	−1.97488	+	1.97488i
$539$	−19.0278			−0.819585
$540$	−20.3064	+	19.4752i	−0.873850	+	0.838080i
$541$	14.4694	+	25.0617i	0.622088	+	1.07749i	0.989096	+	0.147270i	$0.0470486\pi$
$541$	14.4694	+	25.0617i	0.622088	+	1.07749i	−0.367009	+	0.930218i	$0.619618\pi$
$542$	−38.7451	+	38.7451i	−1.66424	+	1.66424i
$543$	8.25732	+	29.6366i	0.354356	+	1.27183i
$544$	40.8380	−	23.5779i	1.75092	−	1.01089i
$545$	−1.16580	+	22.9854i	−0.0499372	+	0.984588i
$546$	0.106135	+	10.6900i	0.00454216	+	0.457492i
$547$	−10.4085	−	10.4085i	−0.445036	−	0.445036i	0.448665	−	0.893700i	$-0.351900\pi$
$547$	−10.4085	−	10.4085i	−0.445036	−	0.445036i	−0.893700	+	0.448665i	$0.851900\pi$
$548$	−16.0421	+	4.29847i	−0.685284	+	0.183621i
$549$	−10.3787	−	5.72044i	−0.442951	−	0.244142i
$550$	41.3566	−	6.69313i	1.76345	−	0.285396i
$551$	−3.93486	+	7.47947i	−0.167631	+	0.318636i
$552$	−5.22475	−	5.12202i	−0.222380	−	0.218008i
$553$	−13.8665	+	13.8665i	−0.589665	+	0.589665i
$554$	49.9736			2.12317
$555$	11.2272	−	17.7358i	0.476566	−	0.752845i
$556$	−20.3398	−	35.2295i	−0.862599	−	1.49407i
$557$	26.1935	+	7.01851i	1.10985	+	0.297384i	0.766770	−	0.641922i	$-0.221863\pi$
$557$	26.1935	+	7.01851i	1.10985	+	0.297384i	0.343082	+	0.939306i	$0.388529\pi$
$558$	10.2514	−	41.5412i	0.433978	−	1.75858i
$559$		−	9.20021i		−	0.389127i
$560$	−3.05459	+	9.45523i	−0.129080	+	0.399557i
$561$	19.8976	−	35.2677i	0.840077	−	1.48900i
$562$	−1.81520	+	6.77441i	−0.0765695	+	0.285761i
$563$	−3.96543	+	14.7992i	−0.167123	+	0.623711i	0.830637	+	0.556814i	$0.187977\pi$
$563$	−3.96543	+	14.7992i	−0.167123	+	0.623711i	−0.997760	+	0.0668970i	$0.978690\pi$
$564$	−31.9291	+	0.317005i	−1.34446	+	0.0133483i
$565$	8.92419	−	1.91261i	0.375443	−	0.0804642i
$566$	−17.5371	+	10.1250i	−0.737139	+	0.425587i
$567$	−9.86182	−	9.10808i	−0.414157	−	0.382504i
$568$	−2.33622	−	8.71891i	−0.0980258	−	0.365837i
$569$	11.0427	−	19.1265i	0.462934	−	0.801825i	−0.536172	−	0.844109i	$-0.680130\pi$
$569$	11.0427	−	19.1265i	0.462934	−	0.801825i	0.999106	+	0.0422838i	$0.0134634\pi$
$570$	30.7169	+	17.7938i	1.28659	+	0.745299i
$571$	−6.48831	−	11.2381i	−0.271527	−	0.470299i	0.697726	−	0.716365i	$-0.254195\pi$
$571$	−6.48831	−	11.2381i	−0.271527	−	0.470299i	−0.969253	+	0.246066i	$0.920862\pi$
$572$	−13.4272	+	13.4272i	−0.561418	+	0.561418i
$573$	−11.4057	−	11.1814i	−0.476479	−	0.467111i
$574$		−	16.3759i		−	0.683517i
$575$	−8.46387	+	22.2731i	−0.352968	+	0.928854i
$576$	15.8456	−	28.7488i	0.660231	−	1.19787i
$577$	0.281815	+	0.281815i	0.0117321	+	0.0117321i	0.712949	−	0.701216i	$-0.247359\pi$
$577$	0.281815	+	0.281815i	0.0117321	+	0.0117321i	−0.701216	+	0.712949i	$0.747359\pi$
$578$	35.3876	−	9.48207i	1.47193	−	0.394402i
$579$	9.40159	−	5.55319i	0.390717	−	0.230782i
$580$	−0.531793	+	10.4851i	−0.0220815	+	0.435370i
$581$	−2.94730	+	1.70163i	−0.122275	+	0.0705954i
$582$	13.9256	−	14.2049i	0.577234	−	0.588811i
$583$	9.70849	−	9.70849i	0.402084	−	0.402084i
$584$	1.56353	−	2.70811i	0.0646993	−	0.112063i
$585$	−12.8505	+	3.02214i	−0.531301	+	0.124950i
$586$	1.74644	−	3.02493i	0.0721449	−	0.124959i
$587$	−17.7399	−	4.75339i	−0.732204	−	0.196193i	−0.126593	−	0.991955i	$-0.540404\pi$
$587$	−17.7399	−	4.75339i	−0.732204	−	0.196193i	−0.605610	+	0.795761i	$0.707071\pi$
$588$	−19.3963	−	4.99138i	−0.799892	−	0.205841i
$589$	−29.5426	+	1.16160i	−1.21728	+	0.0478629i
$590$	1.96004	+	9.14550i	0.0806937	+	0.376514i
$591$	28.9073	−	17.0745i	1.18909	−	0.702353i
$592$	−4.17899	+	15.5962i	−0.171755	+	0.641000i
$593$	−3.60259	+	13.4450i	−0.147940	+	0.552121i	0.851666	+	0.524084i	$0.175592\pi$
$593$	−3.60259	+	13.4450i	−0.147940	+	0.552121i	−0.999607	+	0.0280371i	$0.991074\pi$
$594$	−1.29656	−	43.5189i	−0.0531986	−	1.78560i
$595$	−10.6301	+	16.4295i	−0.435793	+	0.673543i
$596$	7.61907	+	4.39887i	0.312089	+	0.180185i
$597$	13.8060	−	3.84662i	0.565043	−	0.157432i
$598$	−5.10372	−	19.0473i	−0.208707	−	0.778904i
$599$	1.27032	−	2.20025i	0.0519037	−	0.0898999i	−0.838906	−	0.544276i	$-0.816804\pi$
$599$	1.27032	−	2.20025i	0.0519037	−	0.0898999i	0.890810	+	0.454376i	$0.150138\pi$
$600$	7.64475	+	0.700858i	0.312096	+	0.0286124i
$601$	−14.8577	+	25.7344i	−0.606060	+	1.04973i	0.385823	+	0.922573i	$0.373918\pi$
$601$	−14.8577	+	25.7344i	−0.606060	+	1.04973i	−0.991883	+	0.127154i	$0.959416\pi$
$602$	−14.1637	−	3.79516i	−0.577270	−	0.154679i
$603$	−9.71945	−	2.39854i	−0.395806	−	0.0976761i
$604$	34.4006	−	19.8612i	1.39974	−	0.808141i
$605$	−5.92554	+	9.15827i	−0.240907	+	0.372336i
$606$	30.2175	−	53.5594i	1.22750	−	2.17570i
$607$	7.25463	−	27.0746i	0.294456	−	1.09893i	−0.647192	−	0.762327i	$-0.724057\pi$
$607$	7.25463	−	27.0746i	0.294456	−	1.09893i	0.941648	−	0.336599i	$-0.109277\pi$
$608$	−34.1702	−	7.73087i	−1.38579	−	0.313528i
$609$	−5.00887	+	0.0497301i	−0.202970	+	0.00201516i
$610$	3.89228	+	18.1613i	0.157594	+	0.735328i
$611$	−12.9743	−	7.49072i	−0.524884	−	0.303042i
$612$	29.5344	−	30.7312i	1.19386	−	1.24224i
$613$	−0.668000	−	2.49301i	−0.0269803	−	0.100692i	0.951123	−	0.308813i	$-0.0999318\pi$
$613$	−0.668000	−	2.49301i	−0.0269803	−	0.100692i	−0.978103	+	0.208121i	$0.933265\pi$
$614$	65.1069			2.62750
$615$	19.7294	−	4.43368i	0.795567	−	0.178783i
$616$	2.63434	+	4.56281i	0.106140	+	0.183841i
$617$	−6.41917	−	23.9567i	−0.258426	−	0.964459i	−0.966152	−	0.257972i	$-0.916946\pi$
$617$	−6.41917	−	23.9567i	−0.258426	−	0.964459i	0.707727	−	0.706487i	$-0.249721\pi$
$618$	19.8532	+	19.4628i	0.798613	+	0.782911i
$619$	−6.56159	−	3.78834i	−0.263733	−	0.152266i	0.362303	−	0.932060i	$-0.381990\pi$
$619$	−6.56159	−	3.78834i	−0.263733	−	0.152266i	−0.626036	+	0.779794i	$0.715324\pi$
$620$	−32.6960	+	16.7289i	−1.31310	+	0.671849i
$621$	21.8036	+	11.7368i	0.874946	+	0.470982i
$622$	−17.4369	+	4.67219i	−0.699154	+	0.187338i
$623$	−10.5300	−	10.5300i	−0.421876	−	0.421876i
$624$	8.74317	−	5.16428i	0.350007	−	0.206737i
$625$	−7.88545	−	23.7238i	−0.315418	−	0.948953i
$626$	−59.5137	+	34.3603i	−2.37865	+	1.37331i
$627$	−28.6408	+	9.20686i	−1.14380	+	0.367687i
$628$	4.98556	+	18.6063i	0.198945	+	0.742474i
$629$	−15.8992	+	27.5382i	−0.633942	+	1.09802i
$630$	−0.648333	+	21.0299i	−0.0258302	+	0.837853i
$631$	−22.0631	−	38.2144i	−0.878317	−	1.52129i	−0.853187	−	0.521605i	$-0.825333\pi$
$631$	−22.0631	−	38.2144i	−0.878317	−	1.52129i	−0.0251301	−	0.999684i	$-0.508000\pi$
$632$	−11.2571	−	3.01633i	−0.447783	−	0.119983i
$633$	−27.2757	−	7.01902i	−1.08411	−	0.278981i
$634$	−9.68970	+	5.59435i	−0.384827	+	0.222180i
$635$	36.6748	−	7.86006i	1.45540	−	0.311917i
$636$	12.4433	−	7.34980i	0.493408	−	0.291438i
$637$	−6.64468	−	6.64468i	−0.263272	−	0.263272i
$638$	−11.4875	−	11.4875i	−0.454793	−	0.454793i
$639$	15.7965	+	26.1473i	0.624900	+	1.03437i
$640$	−15.1606	+	3.24919i	−0.599276	+	0.128435i
$641$	34.5065	−	19.9223i	1.36293	−	0.786885i	0.372913	−	0.927866i	$-0.378359\pi$
$641$	34.5065	−	19.9223i	1.36293	−	0.786885i	0.990012	+	0.140981i	$0.0450256\pi$
$642$	−63.3016	+	17.6370i	−2.49831	+	0.696077i
$643$	28.0936	−	28.0936i	1.10790	−	1.10790i	0.114476	−	0.993426i	$-0.463481\pi$
$643$	28.0936	−	28.0936i	1.10790	−	1.10790i	0.993426	−	0.114476i	$-0.0365188\pi$
$644$	−17.2126			−0.678272
$645$	0.737600	−	18.0918i	0.0290430	−	0.712362i
$646$	−47.5918	−	25.0375i	−1.87247	−	0.985086i
$647$	−12.3461	+	12.3461i	−0.485374	+	0.485374i	−0.906843	−	0.421469i	$-0.861515\pi$
$647$	−12.3461	+	12.3461i	−0.485374	+	0.485374i	0.421469	+	0.906843i	$0.361515\pi$
$648$	1.75728	−	7.78203i	0.0690323	−	0.305707i
$649$	−6.86465	−	3.96330i	−0.269461	−	0.155573i
$650$	16.7794	+	12.1048i	0.658143	+	0.474790i
$651$	−8.91192	−	15.0880i	−0.349286	−	0.591344i
$652$	−15.4617	+	4.14295i	−0.605527	+	0.162251i
$653$	−5.53345	+	20.6511i	−0.216541	+	0.808141i	0.769078	+	0.639155i	$0.220716\pi$
$653$	−5.53345	+	20.6511i	−0.216541	+	0.808141i	−0.985619	+	0.168986i	$0.945951\pi$
$654$	−19.0646	−	32.2765i	−0.745484	−	1.26211i
$655$	−13.6053	+	6.96114i	−0.531603	+	0.271994i
$656$	−13.4707	+	7.77733i	−0.525944	+	0.303654i
$657$	−2.53557	+	10.2747i	−0.0989220	+	0.400855i
$658$	−16.8840	+	16.8840i	−0.658205	+	0.658205i
$659$	23.3553			0.909794			0.454897	−	0.890544i	$-0.349676\pi$
$659$	23.3553			0.909794			0.454897	+	0.890544i	$0.349676\pi$
$660$	−27.4803	+	25.3273i	−1.06967	+	0.985865i
$661$	−3.67969	+	6.37341i	−0.143123	+	0.247897i	−0.928671	−	0.370904i	$-0.879048\pi$
$661$	−3.67969	+	6.37341i	−0.143123	+	0.247897i	0.785548	+	0.618801i	$0.212381\pi$
$662$	−42.4595	+	42.4595i	−1.65023	+	1.65023i
$663$	19.2642	−	5.36738i	0.748161	−	0.208452i
$664$	−1.75156	−	1.01126i	−0.0679737	−	0.0392446i
$665$	14.0848	−	3.60278i	0.546184	−	0.139710i
$666$	0.678824	+	34.1826i	0.0263039	+	1.32455i
$667$	8.92472	−	2.39137i	0.345566	−	0.0925943i
$668$	8.14897	−	30.4124i	0.315293	−	1.17669i
$669$	−6.19537	−	3.49535i	−0.239527	−	0.135138i
$670$	7.14677	+	13.9681i	0.276104	+	0.539635i
$671$	−13.6319	−	7.87038i	−0.526254	−	0.303833i
$672$	−5.57311	−	20.0026i	−0.214987	−	0.771618i
$673$	1.21007	+	4.51605i	0.0466448	+	0.174081i	0.985319	−	0.170726i	$-0.0546112\pi$
$673$	1.21007	+	4.51605i	0.0466448	+	0.174081i	−0.938674	+	0.344807i	$0.887945\pi$
$674$	−33.7807	−	58.5099i	−1.30118	−	2.25372i
$675$	−25.5121	+	4.91263i	−0.981960	+	0.189087i
$676$	22.1025			0.850098
$677$	−2.28829	−	8.54002i	−0.0879462	−	0.328220i	0.907910	−	0.419166i	$-0.137677\pi$
$677$	−2.28829	−	8.54002i	−0.0879462	−	0.328220i	−0.995856	+	0.0909464i	$0.971011\pi$
$678$	−10.4067	+	10.6154i	−0.399668	+	0.407684i
$679$		−	8.14676i		−	0.312644i
$680$	−11.6145	−	0.589075i	−0.445396	−	0.0225900i
$681$	−0.0349825	−	3.52348i	−0.00134053	−	0.135020i
$682$	14.7093	−	54.8959i	0.563249	−	2.10207i
$683$	−22.9132	−	22.9132i	−0.876751	−	0.876751i	0.116446	−	0.993197i	$-0.462850\pi$
$683$	−22.9132	−	22.9132i	−0.876751	−	0.876751i	−0.993197	+	0.116446i	$0.962850\pi$
$684$	−31.6107	+	1.87213i	−1.20866	+	0.0715826i
$685$	−14.5932	−	4.71445i	−0.557577	−	0.180130i
$686$	−31.9842	+	18.4661i	−1.22116	+	0.705038i
$687$	−18.6574	+	5.19831i	−0.711825	+	0.198328i
$688$	3.60484	+	13.4534i	0.137433	+	0.512907i
$689$	6.78059			0.258320
$690$	−8.50915	−	37.8648i	−0.323938	−	1.44149i
$691$	−14.4443	+	25.0183i	−0.549488	+	0.951742i	0.448821	+	0.893622i	$0.351844\pi$
$691$	−14.4443	+	25.0183i	−0.549488	+	0.951742i	−0.998310	+	0.0581203i	$0.981489\pi$
$692$	−19.1184	+	19.1184i	−0.726772	+	0.726772i
$693$	−12.8562	−	12.3555i	−0.488366	−	0.469347i
$694$	49.4627	−	28.5573i	1.87758	−	1.08402i
$695$	1.90273	−	37.5152i	0.0721747	−	1.42303i
$696$	−1.51396	−	2.56315i	−0.0573865	−	0.0971558i
$697$	−29.5893	+	7.92842i	−1.12077	+	0.300310i
$698$	45.6424	+	45.6424i	1.72759	+	1.72759i
$699$	−46.2207	+	0.458898i	−1.74823	+	0.0173571i
$700$	13.9968	−	11.4127i	0.529030	−	0.431359i
$701$	−3.31844	−	1.91590i	−0.125336	−	0.0723625i	0.436021	−	0.899936i	$-0.356387\pi$
$701$	−3.31844	−	1.91590i	−0.125336	−	0.0723625i	−0.561357	+	0.827574i	$0.689721\pi$
$702$	14.7445	−	15.6500i	0.556493	−	0.590671i
$703$	22.5614	−	7.00624i	0.850920	−	0.264245i
$704$	21.8009	−	37.7602i	0.821651	−	1.42314i
$705$	−24.9128	−	15.7703i	−0.938269	−	0.593944i
$706$	−29.2907			−1.10237
$707$	−6.51841	−	24.3270i	−0.245150	−	0.914913i
$708$	−5.95795	−	5.84081i	−0.223914	−	0.219511i
$709$			47.5715i			1.78659i	0.449476	+	0.893293i	$0.351611\pi$
$709$			47.5715i			1.78659i	−0.449476	+	0.893293i	$0.648389\pi$
$710$	14.7186	−	45.5601i	0.552378	−	1.70984i
$711$	39.4338	−	0.783106i	1.47888	−	0.0293688i
$712$	2.29055	−	8.54844i	0.0858419	−	0.320366i
$713$	22.8556	+	22.8556i	0.855949	+	0.855949i
$714$	−0.316432	−	31.8714i	−0.0118422	−	1.19276i
$715$	−17.1450	+	3.67447i	−0.641185	+	0.137417i
$716$	45.1381	+	26.0605i	1.68689	+	0.973925i
$717$	−10.4352	−	37.4532i	−0.389709	−	1.39872i
$718$	−42.4035	+	42.4035i	−1.58248	+	1.58248i
$719$	−5.85724	+	10.1450i	−0.218438	+	0.378346i	−0.954331	−	0.298752i	$-0.903430\pi$
$719$	−5.85724	+	10.1450i	−0.218438	+	0.378346i	0.735893	+	0.677098i	$0.236763\pi$
$720$	17.6070	−	9.45434i	0.656176	−	0.352343i
$721$	11.3862			0.424043
$722$	13.3386	+	37.6599i	0.496410	+	1.40156i
$723$	−30.0273	−	7.72711i	−1.11673	−	0.287374i
$724$			43.0129i			1.59856i
$725$	−5.67176	+	7.86207i	−0.210644	+	0.291990i
$726$	−0.176388	−	17.7660i	−0.00654637	−	0.659358i
$727$	8.84963	−	33.0273i	0.328215	−	1.22491i	−0.582826	−	0.812597i	$-0.698053\pi$
$727$	8.84963	−	33.0273i	0.328215	−	1.22491i	0.911041	−	0.412316i	$-0.135280\pi$
$728$	−0.673440	+	2.51331i	−0.0249593	+	0.0931495i
$729$	1.60740	+	26.9521i	0.0595332	+	0.998226i
$730$	14.7661	−	7.55507i	0.546519	−	0.279626i
$731$			27.4296i			1.01452i
$732$	−11.8314	−	11.5988i	−0.437300	−	0.428702i
$733$	29.7578	+	7.97357i	1.09913	+	0.294511i	0.762410	−	0.647095i	$-0.224016\pi$
$733$	29.7578	+	7.97357i	1.09913	+	0.294511i	0.336719	+	0.941605i	$0.390683\pi$
$734$	−24.1930	−	41.9035i	−0.892979	−	1.54668i
$735$	−12.5337	−	13.5992i	−0.462313	−	0.501612i
$736$	19.1506	+	33.1698i	0.705899	+	1.22265i
$737$	−12.8441	−	3.44155i	−0.473117	−	0.126771i
$738$	−22.8226	+	23.7474i	−0.840110	+	0.874153i
$739$	−14.6456	−	8.45566i	−0.538748	−	0.311046i	0.205823	−	0.978589i	$-0.434013\pi$
$739$	−14.6456	−	8.45566i	−0.538748	−	0.311046i	−0.744572	+	0.667543i	$0.767346\pi$
$740$	21.7759	−	19.6736i	0.800497	−	0.723216i
$741$	−13.2167	−	6.78650i	−0.485529	−	0.249308i
$742$	2.79705	−	10.4387i	0.102683	−	0.383218i
$743$	−10.4552	−	10.4552i	−0.383565	−	0.383565i	0.488820	−	0.872385i	$-0.337428\pi$
$743$	−10.4552	−	10.4552i	−0.383565	−	0.383565i	−0.872385	+	0.488820i	$0.837428\pi$
$744$	5.11721	−	9.07004i	0.187606	−	0.332524i
$745$	3.70033	+	7.23216i	0.135569	+	0.264966i
$746$	26.7884	+	15.4663i	0.980794	+	0.566262i
$747$	6.64551	+	1.63996i	0.243147	+	0.0600030i
$748$	40.0318	−	40.0318i	1.46371	−	1.46371i
$749$	−13.4561	+	23.3067i	−0.491677	+	0.851609i
$750$	32.0254	+	25.1487i	1.16940	+	0.918302i
$751$	11.4031	−	19.7507i	0.416104	−	0.720714i	−0.579439	−	0.815015i	$-0.696728\pi$
$751$	11.4031	−	19.7507i	0.416104	−	0.720714i	0.995544	+	0.0943015i	$0.0300618\pi$
$752$	21.9073	+	5.87004i	0.798877	+	0.214058i
$753$	−8.09342	+	2.25498i	−0.294941	+	0.0821760i
$754$		−	8.02306i		−	0.292183i
$755$	36.6325	+	1.85796i	1.33319	+	0.0676181i
$756$	−9.86409	−	15.9673i	−0.358753	−	0.580724i
$757$	−1.47433	+	0.395046i	−0.0535856	+	0.0143582i	−0.285512	−	0.958375i	$-0.592164\pi$
$757$	−1.47433	+	0.395046i	−0.0535856	+	0.0143582i	0.231927	+	0.972733i	$0.425497\pi$
$758$	5.65387	−	21.1005i	0.205358	−	0.766405i
$759$	28.6453	+	16.1614i	1.03976	+	0.586620i
$760$	6.03948	+	6.17848i	0.219075	+	0.224117i
$761$	12.9985	−	7.50468i	0.471195	−	0.272045i	−0.245545	−	0.969385i	$-0.578967\pi$
$761$	12.9985	−	7.50468i	0.471195	−	0.272045i	0.716740	+	0.697341i	$0.245634\pi$
$762$	−42.7675	+	43.6252i	−1.54930	+	1.58037i
$763$	−14.8293	−	3.97349i	−0.536855	−	0.143850i
$764$	−11.1653	−	19.3390i	−0.403948	−	0.699659i
$765$	38.3124	−	9.01022i	1.38519	−	0.325765i
$766$	−36.9111	−	63.9318i	−1.33365	−	2.30995i
$767$	−1.01318	−	3.78122i	−0.0365837	−	0.136532i
$768$	−8.85608	+	9.03370i	−0.319566	+	0.325976i
$769$	2.63909	+	1.52368i	0.0951680	+	0.0549453i	0.546829	−	0.837245i	$-0.315835\pi$
$769$	2.63909	+	1.52368i	0.0951680	+	0.0549453i	−0.451661	+	0.892190i	$0.649168\pi$
$770$	−1.41559	+	27.9104i	−0.0510141	+	1.00582i
$771$	−0.428441	−	43.1531i	−0.0154299	−	1.55412i
$772$	14.7458	−	3.95112i	0.530712	−	0.142204i
$773$	7.01265	−	26.1716i	0.252227	−	0.941326i	−0.717384	−	0.696678i	$-0.754661\pi$
$773$	7.01265	−	26.1716i	0.252227	−	0.941326i	0.969612	−	0.244648i	$-0.0786725\pi$
$774$	15.2502	+	25.2430i	0.548158	+	0.907342i
$775$	−33.7398	−	3.43132i	−1.21197	−	0.123257i
$776$	4.19291	−	2.42078i	0.150517	−	0.0869008i
$777$	9.99876	+	9.80217i	0.358704	+	0.351651i
$778$	−3.73519	−	1.00084i	−0.133913	−	0.0358819i
$779$	20.1413	+	10.5961i	0.721637	+	0.379645i
$780$	−18.4409	−	0.751836i	−0.660291	−	0.0269200i
$781$	20.2880	+	35.1399i	0.725962	+	1.25740i
$782$	15.2163	+	56.7879i	0.544133	+	2.03073i
$783$	7.33287	+	6.90858i	0.262056	+	0.246892i
$784$	12.3200	+	7.11297i	0.440001	+	0.254035i
$785$	−5.46803	+	16.9258i	−0.195162	+	0.604109i
$786$	12.2315	−	21.6798i	0.436283	−	0.773294i
$787$	−9.57005	+	35.7159i	−0.341135	+	1.27313i	0.555927	+	0.831231i	$0.312363\pi$
$787$	−9.57005	+	35.7159i	−0.341135	+	1.27313i	−0.897063	+	0.441903i	$0.854303\pi$
$788$	45.3392	−	12.1486i	1.61514	−	0.432776i
$789$	15.5968	−	27.6447i	0.555261	−	0.984177i
$790$	−41.4407	−	45.8690i	−1.47440	−	1.63195i
$791$			6.08815i			0.216470i
$792$	2.53887	−	10.2881i	0.0902148	−	0.365572i
$793$	−2.01198	−	7.50880i	−0.0714474	−	0.266645i
$794$	−27.2620			−0.967491
$795$	13.3337	+	0.543614i	0.472897	+	0.0192800i
$796$	20.0373			0.710202
$797$	−23.1071	−	6.19152i	−0.818494	−	0.219315i	−0.174806	−	0.984603i	$-0.555930\pi$
$797$	−23.1071	−	6.19152i	−0.818494	−	0.219315i	−0.643688	+	0.765288i	$0.722597\pi$
$798$	−15.8998	+	17.5477i	−0.562848	+	0.621182i
$799$	38.6817	+	22.3329i	1.36846	+	0.790081i
$800$	−37.5657	−	14.2751i	−1.32815	−	0.504701i
$801$	0.594677	+	29.9453i	0.0210119	+	1.05807i
$802$	4.74952	−	17.7254i	0.167711	−	0.625907i
$803$	−3.63817	+	13.5779i	−0.128388	+	0.479152i
$804$	−12.1900	−	6.87747i	−0.429910	−	0.242550i
$805$	−13.3445	−	8.63408i	−0.470331	−	0.304311i
$806$	24.3068	−	14.0335i	0.856170	−	0.494310i
$807$	37.3551	−	38.1043i	1.31496	−	1.34134i
$808$	10.5835	−	10.5835i	0.372327	−	0.372327i
$809$	3.72593			0.130997			0.0654984	−	0.997853i	$-0.479136\pi$
$809$	3.72593			0.130997			0.0654984	+	0.997853i	$0.479136\pi$
$810$	30.2489	−	29.5928i	1.06284	−	1.03979i
$811$	−11.5988	−	20.0897i	−0.407289	−	0.705446i	0.587296	−	0.809373i	$-0.300193\pi$
$811$	−11.5988	−	20.0897i	−0.407289	−	0.705446i	−0.994585	+	0.103927i	$0.966859\pi$
$812$	−6.76456	−	1.81256i	−0.237390	−	0.0636084i
$813$	31.5962	−	32.2299i	1.10813	−	1.13035i
$814$			45.4120i			1.59169i
$815$	−14.0652	−	4.54389i	−0.492683	−	0.159165i
$816$	−26.0670	+	15.3968i	−0.912526	+	0.538997i
$817$	13.8325	−	14.9648i	0.483938	−	0.523552i
$818$	1.48820	+	1.48820i	0.0520335	+	0.0520335i
$819$	−0.174840	−	8.80416i	−0.00610940	−	0.307642i
$820$	28.2351	+	1.43205i	0.986014	+	0.0500095i
$821$			40.0949i			1.39932i	0.714475	+	0.699661i	$0.246666\pi$
$821$			40.0949i			1.39932i	−0.714475	+	0.699661i	$0.753334\pi$
$822$	24.0622	−	6.70419i	0.839266	−	0.233835i
$823$	8.53860	+	31.8665i	0.297637	+	1.11080i	0.939100	+	0.343643i	$0.111661\pi$
$823$	8.53860	+	31.8665i	0.297637	+	1.11080i	−0.641463	+	0.767154i	$0.721672\pi$
$824$	3.38336	+	5.86015i	0.117865	+	0.204148i
$825$	−34.0093	+	5.85111i	−1.18405	+	0.203710i
$826$	−6.23914			−0.217087
$827$	−22.9344	−	6.14525i	−0.797506	−	0.213691i	−0.163017	−	0.986623i	$-0.552123\pi$
$827$	−22.9344	−	6.14525i	−0.797506	−	0.213691i	−0.634489	+	0.772932i	$0.718789\pi$
$828$	24.9607	+	23.9886i	0.867445	+	0.833663i
$829$		−	17.4698i		−	0.606752i	−0.952871	−	0.303376i	$-0.901886\pi$
$829$		−	17.4698i		−	0.606752i	0.952871	−	0.303376i	$-0.0981138\pi$
$830$	−4.88648	−	9.55046i	−0.169612	−	0.331501i
$831$	−41.1616	+	0.408669i	−1.42788	+	0.0141766i
$832$	20.7993	−	5.57316i	0.721086	−	0.193214i
$833$	19.8105	+	19.8105i	0.686393	+	0.686393i
$834$	31.1159	+	52.6795i	1.07746	+	1.82414i
$835$	21.5729	−	19.4903i	0.746562	−	0.674488i
$836$	−42.0279	+	1.65252i	−1.45357	+	0.0571536i
$837$	−8.10404	+	34.2999i	−0.280117	+	1.18558i
$838$	13.6440	+	50.9201i	0.471324	+	1.75901i
$839$	11.5125	+	19.9403i	0.397456	+	0.688415i	0.993411	−	0.114603i	$-0.0365597\pi$
$839$	11.5125	+	19.9403i	0.397456	+	0.688415i	−0.595955	+	0.803018i	$0.703226\pi$
$840$	−1.52578	+	4.88831i	−0.0526445	+	0.168663i
$841$	−25.2408			−0.870371
$842$	−7.17111	−	26.7630i	−0.247133	−	0.922313i
$843$	1.43972	−	5.59469i	0.0495865	−	0.192692i
$844$	−34.1008	−	19.6881i	−1.17380	−	0.677693i
$845$	17.1355	+	11.0869i	0.589479	+	0.381402i
$846$	48.0148	−	0.953514i	1.65078	−	0.0327825i
$847$	−5.14515	−	5.14515i	−0.176789	−	0.176789i
$848$	−9.91524	+	2.65678i	−0.340491	+	0.0912342i
$849$	14.3619	−	8.48307i	0.492900	−	0.291138i
$850$	−50.0263	−	36.0894i	−1.71589	−	1.23785i
$851$	−22.3672	−	12.9137i	−0.766739	−	0.442677i
$852$	11.4631	+	41.1424i	0.392718	+	1.40952i
$853$	−1.60498	−	0.430054i	−0.0549536	−	0.0147248i	0.231237	−	0.972897i	$-0.425723\pi$
$853$	−1.60498	−	0.430054i	−0.0549536	−	0.0147248i	−0.286191	+	0.958173i	$0.592389\pi$
$854$	−12.3898			−0.423969
$855$	−25.4460	−	14.4049i	−0.870234	−	0.492638i
$856$	−15.9938			−0.546655
$857$	48.1170	+	12.8929i	1.64364	+	0.440413i	0.957824	−	0.287357i	$-0.0927766\pi$
$857$	48.1170	+	12.8929i	1.64364	+	0.440413i	0.685821	+	0.727770i	$0.259443\pi$
$858$	19.9932	−	20.3942i	0.682556	−	0.696245i
$859$	−36.4792	−	21.0613i	−1.24465	−	0.718602i	−0.274616	−	0.961554i	$-0.588551\pi$
$859$	−36.4792	−	21.0613i	−1.24465	−	0.718602i	−0.970038	+	0.242952i	$0.921884\pi$
$860$	7.78217	−	24.0891i	0.265370	−	0.821430i
$861$	0.133917	+	13.4883i	0.00456388	+	0.459679i
$862$	−56.0733	+	15.0248i	−1.90986	+	0.511747i
$863$	7.58816	+	7.58816i	0.258304	+	0.258304i	0.824364	−	0.566060i	$-0.191533\pi$
$863$	7.58816	+	7.58816i	0.258304	+	0.258304i	−0.566060	+	0.824364i	$0.691533\pi$
$864$	−19.7952	+	36.7737i	−0.673447	+	1.25107i
$865$	−24.4120	+	5.23193i	−0.830034	+	0.177891i
$866$	−24.6986	−	14.2597i	−0.839292	−	0.484565i
$867$	−29.0700	+	8.09945i	−0.987269	+	0.275072i
$868$	−6.34087	−	23.6645i	−0.215223	−	0.803224i
$869$	52.3882			1.77715
$870$	0.643225	−	15.7769i	0.0218074	−	0.534889i
$871$	−3.28344	−	5.68709i	−0.111255	−	0.192700i
$872$	−2.36141	−	8.81291i	−0.0799675	−	0.298443i
$873$	−11.3539	+	11.8140i	−0.384270	+	0.399842i
$874$	20.3361	−	38.6553i	0.687879	−	1.30754i
$875$	16.5761	−	1.82696i	0.560376	−	0.0617624i
$876$	−7.27039	+	12.8865i	−0.245644	+	0.435394i
$877$	26.5105	+	26.5105i	0.895197	+	0.895197i	0.995007	−	0.0998094i	$-0.0318233\pi$
$877$	26.5105	+	26.5105i	0.895197	+	0.895197i	−0.0998094	+	0.995007i	$0.531823\pi$
$878$	1.88678	−	0.505560i	0.0636756	−	0.0170618i
$879$	−1.41375	+	2.50581i	−0.0476846	+	0.0845190i
$880$	23.6313	−	12.0909i	0.796610	−	0.407585i
$881$		−	33.0596i		−	1.11381i	−0.830577	−	0.556903i	$-0.811989\pi$
$881$		−	33.0596i		−	1.11381i	0.830577	−	0.556903i	$-0.188011\pi$
$882$	29.2455	+	7.21713i	0.984748	+	0.243013i
$883$	2.03017	+	0.543983i	0.0683207	+	0.0183065i	0.292818	−	0.956168i	$-0.405407\pi$
$883$	2.03017	+	0.543983i	0.0683207	+	0.0183065i	−0.224497	+	0.974475i	$0.572074\pi$
$884$	27.9590			0.940362
$885$	−1.68921	−	7.51681i	−0.0567822	−	0.252675i
$886$	−12.9008	−	22.3449i	−0.433412	−	0.750691i
$887$	2.51777	+	9.39643i	0.0845383	+	0.315501i	0.995226	−	0.0975934i	$-0.0311145\pi$
$887$	2.51777	+	9.39643i	0.0845383	+	0.315501i	−0.910688	+	0.413095i	$0.864448\pi$
$888$	−2.07381	+	8.05876i	−0.0695925	+	0.270434i
$889$			25.0199i			0.839139i
$890$	34.8321	−	31.4694i	1.16757	−	1.05486i
$891$	1.42382	+	35.8345i	0.0476997	+	1.20050i
$892$	−7.03227	−	7.03227i	−0.235458	−	0.235458i
$893$	−9.84136	−	31.6911i	−0.329328	−	1.06050i
$894$	−11.5243	−	6.50189i	−0.385431	−	0.217456i
$895$	21.9220	+	42.8459i	0.732773	+	1.43218i
$896$		−	10.3427i		−	0.345525i
$897$	4.35953	+	15.6469i	0.145560	+	0.522435i
$898$	78.2865	+	20.9768i	2.61246	+	0.700005i
$899$	6.57547	+	11.3891i	0.219304	+	0.379846i
$900$	−36.2029	−	2.95690i	−1.20676	−	0.0985632i
$901$	−20.2157			−0.673483
$902$	−30.9344	+	30.9344i	−1.03000	+	1.03000i
$903$	11.6972	+	3.01012i	0.389259	+	0.100170i
$904$	−3.13340	+	1.80907i	−0.104215	+	0.0601688i
$905$	−21.5758	+	33.3467i	−0.717205	+	1.10848i
$906$	−51.4400	+	30.3838i	−1.70898	+	1.00943i
$907$	−8.07244	+	30.1267i	−0.268041	+	1.00034i	0.692322	+	0.721589i	$0.256588\pi$
$907$	−8.07244	+	30.1267i	−0.268041	+	1.00034i	−0.960363	+	0.278753i	$0.910079\pi$
$908$	1.27504	−	4.75852i	0.0423137	−	0.157917i
$909$	−24.4512	+	44.3622i	−0.810995	+	1.47140i
$910$	−10.2409	+	9.25225i	−0.339483	+	0.306709i
$911$	30.9781	+	17.8852i	1.02635	+	0.592564i	0.915937	−	0.401321i	$-0.131449\pi$
$911$	30.9781	+	17.8852i	1.02635	+	0.592564i	0.110414	+	0.993886i	$0.464782\pi$
$912$	21.9859	+	4.74528i	0.728026	+	0.157132i
$913$	8.78191	+	2.35311i	0.290639	+	0.0778764i
$914$	24.5637			0.812494
$915$	−3.35446	−	14.9270i	−0.110895	−	0.493471i
$916$	−27.0783			−0.894692
$917$	−2.63853	−	9.84713i	−0.0871320	−	0.325181i
$918$	−43.9592	+	46.6590i	−1.45087	+	1.53998i
$919$		−	27.8291i		−	0.917998i	−0.888437	−	0.458999i	$-0.848208\pi$
$919$		−	27.8291i		−	0.917998i	0.888437	−	0.458999i	$-0.151792\pi$
$920$	0.478462	−	9.43361i	0.0157744	−	0.311017i
$921$	−53.6264	+	0.532424i	−1.76705	+	0.0175440i
$922$	−22.1969	+	5.94764i	−0.731016	+	0.195875i
$923$	−5.18641	+	19.3559i	−0.170713	+	0.637108i
$924$	−12.6783	−	21.4645i	−0.417085	−	0.706129i
$925$	26.7508	−	4.32934i	0.879561	−	0.142348i
$926$	−33.4230	−	19.2968i	−1.09835	−	0.634131i
$927$	−16.5116	−	15.8685i	−0.542311	−	0.521191i
$928$	4.03327	+	15.0524i	0.132399	+	0.494118i
$929$	0.895317	+	1.55073i	0.0293744	+	0.0508780i	0.880339	−	0.474345i	$-0.157315\pi$
$929$	0.895317	+	1.55073i	0.0293744	+	0.0508780i	−0.850964	+	0.525223i	$0.823982\pi$
$930$	48.9232	−	25.6475i	1.60425	−	0.841015i
$931$	−0.817781	−	20.7983i	−0.0268017	−	0.681638i
$932$	−62.4218	−	16.7259i	−2.04470	−	0.547874i
$933$	14.3239	−	3.99092i	0.468945	−	0.130657i
$934$	−16.9538	+	9.78826i	−0.554744	+	0.320282i
$935$	51.1161	−	10.9551i	1.67168	−	0.358270i
$936$	4.47930	−	2.70611i	0.146411	−	0.0884519i
$937$	−8.26424	+	30.8426i	−0.269981	+	1.00758i	0.689149	+	0.724619i	$0.257984\pi$
$937$	−8.26424	+	30.8426i	−0.269981	+	1.00758i	−0.959131	+	0.282964i	$0.908682\pi$
$938$	−10.1097	+	2.70889i	−0.330094	+	0.0884484i
$939$	48.7385	−	28.7881i	1.59052	−	0.939464i
$940$	−27.6347	−	30.5876i	−0.901343	−	0.997658i
$941$	0.179028	+	0.103362i	0.00583614	+	0.00336950i	0.502915	−	0.864336i	$-0.332261\pi$
$941$	0.179028	+	0.103362i	0.00583614	+	0.00336950i	−0.497079	+	0.867705i	$0.665594\pi$
$942$	−7.77582	−	27.9084i	−0.253350	−	0.909306i
$943$	−6.43967	−	24.0332i	−0.209705	−	0.782628i
$944$	2.96313	+	5.13228i	0.0964415	+	0.167042i
$945$	0.362034	−	17.3270i	0.0117770	−	0.563646i
$946$	19.5864	+	33.9246i	0.636809	+	1.10299i
$947$	46.4471	+	12.4455i	1.50933	+	0.404423i	0.916212	−	0.400694i	$-0.131231\pi$
$947$	46.4471	+	12.4455i	1.50933	+	0.404423i	0.593116	+	0.805117i	$0.297898\pi$
$948$	53.4029	+	13.7425i	1.73445	+	0.446336i
$949$	−6.01200	+	3.47103i	−0.195158	+	0.112674i
$950$	9.09337	+	44.9172i	0.295028	+	1.45731i
$951$	7.93533	−	4.68712i	0.257321	−	0.151990i
$952$	2.00780	−	7.49320i	0.0650731	−	0.242856i
$953$	−24.5282	+	6.57232i	−0.794547	+	0.212898i	−0.633188	−	0.773998i	$-0.718254\pi$
$953$	−24.5282	+	6.57232i	−0.794547	+	0.212898i	−0.161358	+	0.986896i	$0.551588\pi$
$954$	−18.6042	+	11.2395i	−0.602334	+	0.363891i
$955$	1.04449	−	20.5937i	0.0337988	−	0.666396i
$956$		−	54.3574i		−	1.75804i
$957$	9.55578	+	9.36790i	0.308894	+	0.302821i
$958$	30.4143	+	8.14950i	0.982643	+	0.263298i
$959$	5.11496	−	8.85936i	0.165171	−	0.286084i
$960$	41.3476	−	9.29181i	1.33449	−	0.299892i
$961$	−7.50298	+	12.9955i	−0.242032	+	0.419211i
$962$	−15.8583	+	15.8583i	−0.511292	+	0.511292i
$963$	51.9951	−	15.0447i	1.67552	−	0.484808i
$964$	−37.5410	−	21.6743i	−1.20911	−	0.698082i
$965$	13.4139	+	4.33349i	0.431810	+	0.139500i
$966$	25.8868	−	0.257014i	0.832893	−	0.00826930i
$967$	−32.5037	−	32.5037i	−1.04525	−	1.04525i	−0.998927	−	0.0463222i	$-0.985250\pi$
$967$	−32.5037	−	32.5037i	−1.04525	−	1.04525i	−0.0463222	−	0.998927i	$-0.514750\pi$
$968$	1.11920	−	4.17692i	0.0359726	−	0.134251i
$969$	39.4045	+	20.2333i	1.26585	+	0.649988i
$970$	25.6478	+	1.30083i	0.823500	+	0.0417670i
$971$	37.7667	+	21.8046i	1.21199	+	0.699743i	0.963192	−	0.268813i	$-0.0866313\pi$
$971$	37.7667	+	21.8046i	1.21199	+	0.699743i	0.248797	+	0.968556i	$0.419965\pi$
$972$	−7.94872	+	36.9021i	−0.254955	+	1.18363i
$973$	24.2033	+	6.48525i	0.775922	+	0.207908i
$974$	−40.9254	−	70.8848i	−1.31133	−	2.27130i
$975$	−13.9196	−	9.83310i	−0.445785	−	0.314911i
$976$	5.88421	+	10.1918i	0.188349	+	0.326230i
$977$	−38.9141	−	10.4270i	−1.24497	−	0.333589i	−0.424579	−	0.905391i	$-0.639578\pi$
$977$	−38.9141	−	10.4270i	−1.24497	−	0.333589i	−0.820392	+	0.571802i	$0.806245\pi$
$978$	23.1917	−	6.46164i	0.741588	−	0.206620i
$979$			39.7827i			1.27146i
$980$	−11.7773	−	23.0184i	−0.376214	−	0.735296i
$981$	15.9668	+	26.4292i	0.509781	+	0.843819i
$982$	8.65080	−	32.2852i	0.276058	−	1.03026i
$983$	4.72080	−	17.6183i	0.150570	−	0.561935i	−0.848874	−	0.528595i	$-0.822719\pi$
$983$	4.72080	−	17.6183i	0.150570	−	0.561935i	0.999444	−	0.0333398i	$-0.0106144\pi$
$984$	−6.90225	+	4.07691i	−0.220036	+	0.129967i
$985$	41.2442	+	13.3243i	1.31415	+	0.424547i
$986$			23.9200i			0.761768i
$987$	13.7687	−	14.0448i	0.438262	−	0.447052i
$988$	−15.2536	−	14.0995i	−0.485283	−	0.448564i
$989$	−22.2790			−0.708432
$990$	40.9506	−	38.5012i	1.30150	−	1.22365i
$991$	−4.45840	+	7.72218i	−0.141626	+	0.245303i	−0.928109	−	0.372309i	$-0.878566\pi$
$991$	−4.45840	+	7.72218i	−0.141626	+	0.245303i	0.786483	+	0.617612i	$0.211900\pi$
$992$	−38.5481	+	38.5481i	−1.22390	+	1.22390i
$993$	34.6252	−	35.3196i	1.09880	−	1.12084i
$994$	27.6590	+	15.9689i	0.877291	+	0.506504i
$995$	15.5344	+	10.0510i	0.492472	+	0.318637i
$996$	8.33474	+	4.70236i	0.264096	+	0.149000i
$997$	12.9045	+	12.9045i	0.408689	+	0.408689i	0.881281	−	0.472592i	$-0.156682\pi$
$997$	12.9045	+	12.9045i	0.408689	+	0.408689i	−0.472592	+	0.881281i	$0.656682\pi$
$998$	2.63800	−	9.84514i	0.0835043	−	0.311642i
$999$	−0.838659	−	28.1495i	−0.0265340	−	0.890610i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	855.2.ci.a.182.18	yes	464
5.3	odd	4	inner	855.2.ci.a.353.18	yes	464
9.5	odd	6		855.2.bx.a.752.18	yes	464
19.7	even	3		855.2.bx.a.767.99	yes	464
45.23	even	12		855.2.bx.a.68.99	✓	464
95.83	odd	12		855.2.bx.a.83.18	yes	464
171.140	odd	6	inner	855.2.ci.a.482.18	yes	464
855.653	even	12	inner	855.2.ci.a.653.18	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
855.2.bx.a.68.99	✓	464	45.23	even	12
855.2.bx.a.83.18	yes	464	95.83	odd	12
855.2.bx.a.752.18	yes	464	9.5	odd	6
855.2.bx.a.767.99	yes	464	19.7	even	3
855.2.ci.a.182.18	yes	464	1.1	even	1	trivial
855.2.ci.a.353.18	yes	464	5.3	odd	4	inner
855.2.ci.a.482.18	yes	464	171.140	odd	6	inner
855.2.ci.a.653.18	yes	464	855.653	even	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 855 = 3^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	855.ci (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.03110 - 0.544232i) q^{2} +(1.67740 + 0.431656i) q^{3} +(2.09713 + 1.21078i) q^{4} +(1.01851 + 1.99064i) q^{5} +(-3.17205 - 1.78963i) q^{6} +(-1.44077 + 0.386053i) q^{7} +(-0.626809 - 0.626809i) q^{8} +(2.62735 + 1.44812i) q^{9} +O(q^{10})\)	\(q+(-2.03110 - 0.544232i) q^{2} +(1.67740 + 0.431656i) q^{3} +(2.09713 + 1.21078i) q^{4} +(1.01851 + 1.99064i) q^{5} +(-3.17205 - 1.78963i) q^{6} +(-1.44077 + 0.386053i) q^{7} +(-0.626809 - 0.626809i) q^{8} +(2.62735 + 1.44812i) q^{9} +(-0.985324 - 4.59749i) q^{10} +(3.45089 + 1.99238i) q^{11} +(2.99509 + 2.93621i) q^{12} +(0.509329 + 1.90084i) q^{13} +3.13645 q^{14} +(0.849175 + 3.77874i) q^{15} +(-1.48958 - 2.58003i) q^{16} +(-1.51852 - 5.66718i) q^{17} +(-4.54829 - 4.37116i) q^{18} +(-2.02945 + 3.85763i) q^{19} +(-0.274279 + 5.40783i) q^{20} +(-2.58339 + 0.0256489i) q^{21} +(-5.92480 - 5.92480i) q^{22} +(4.60304 - 1.23338i) q^{23} +(-0.780844 - 1.32198i) q^{24} +(-2.92528 + 4.05496i) q^{25} -4.13800i q^{26} +(3.78202 + 3.56319i) q^{27} +(-3.48891 - 0.934850i) q^{28} +1.93888 q^{29} +(0.331752 - 8.13716i) q^{30} +(3.39138 + 5.87405i) q^{31} +(2.08021 + 7.76345i) q^{32} +(4.92851 + 4.83161i) q^{33} +12.3370i q^{34} +(-2.23592 - 2.47485i) q^{35} +(3.75654 + 6.21804i) q^{36} +(-3.83236 - 3.83236i) q^{37} +(6.22147 - 6.73075i) q^{38} +(0.0338393 + 3.40833i) q^{39} +(0.609340 - 1.88616i) q^{40} -5.22116i q^{41} +(5.26108 + 1.35387i) q^{42} +(-4.51585 - 1.21002i) q^{43} +(4.82466 + 8.35656i) q^{44} +(-0.206709 + 6.70502i) q^{45} -10.0205 q^{46} +(-5.38315 + 5.38315i) q^{47} +(-1.38494 - 4.97073i) q^{48} +(-4.13540 + 2.38758i) q^{49} +(8.14839 - 6.64401i) q^{50} +(-0.100889 - 10.1616i) q^{51} +(-1.23337 + 4.60301i) q^{52} +(0.891788 - 3.32820i) q^{53} +(-5.74247 - 9.29549i) q^{54} +(-0.451334 + 8.89873i) q^{55} +(1.14507 + 0.661105i) q^{56} +(-5.06938 + 5.59477i) q^{57} +(-3.93805 - 1.05520i) q^{58} -1.98924 q^{59} +(-2.79440 + 8.95270i) q^{60} -3.95025 q^{61} +(-3.69140 - 13.7765i) q^{62} +(-4.34445 - 1.07211i) q^{63} -10.9422i q^{64} +(-3.26513 + 2.94991i) q^{65} +(-7.38079 - 12.4957i) q^{66} +(-3.22330 + 0.863681i) q^{67} +(3.67718 - 13.7234i) q^{68} +(8.25353 - 0.0819444i) q^{69} +(3.19450 + 6.24353i) q^{70} +(8.81858 + 5.09141i) q^{71} +(-0.739150 - 2.55454i) q^{72} +(0.913024 + 3.40745i) q^{73} +(5.69822 + 9.86960i) q^{74} +(-6.65722 + 5.53908i) q^{75} +(-8.92679 + 5.63275i) q^{76} +(-5.74110 - 1.53832i) q^{77} +(1.78619 - 6.94108i) q^{78} +(11.3858 - 6.57359i) q^{79} +(3.61875 - 5.59299i) q^{80} +(4.80590 + 7.60942i) q^{81} +(-2.84152 + 10.6047i) q^{82} +(2.20388 - 0.590528i) q^{83} +(-5.44876 - 3.07413i) q^{84} +(9.73469 - 8.79489i) q^{85} +(8.51362 + 4.91534i) q^{86} +(3.25227 + 0.836927i) q^{87} +(-0.914213 - 3.41189i) q^{88} +(4.99187 + 8.64617i) q^{89} +(4.06893 - 13.5061i) q^{90} +(-1.46765 - 2.54204i) q^{91} +(11.1465 + 2.98671i) q^{92} +(3.15314 + 11.3170i) q^{93} +(13.8634 - 8.00404i) q^{94} +(-9.74616 - 0.110879i) q^{95} +(0.138207 + 13.9204i) q^{96} +(-1.41361 + 5.27568i) q^{97} +(9.69882 - 2.59879i) q^{98} +(6.18150 + 10.2320i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7}+O(q^{10}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7	\( 464 q - 6 q^{2} - 2 q^{3} - 4 q^{6} - 4 q^{7} - 4 q^{10} - 24 q^{11} + 2 q^{12} + 2 q^{13} + 10 q^{15} + 212 q^{16} + 18 q^{17} - 24 q^{18} - 12 q^{20} - 4 q^{21} - 20 q^{22} + 18 q^{23} - 4 q^{25} - 2 q^{27} - 20 q^{28} + 2 q^{30} - 8 q^{31} - 30 q^{32} + 10 q^{33} - 68 q^{36} - 16 q^{37} + 30 q^{38} - 36 q^{40} - 14 q^{42} + 2 q^{43} + 6 q^{45} - 56 q^{46} + 42 q^{48} - 108 q^{50} + 12 q^{51} - 34 q^{52} - 14 q^{55} - 24 q^{56} - 78 q^{57} - 12 q^{58} - 42 q^{60} - 8 q^{61} - 12 q^{62} + 92 q^{63} - 84 q^{65} - 52 q^{66} + 2 q^{67} - 60 q^{68} - 84 q^{70} - 118 q^{72} - 4 q^{73} + 98 q^{75} - 60 q^{76} - 12 q^{77} + 92 q^{78} + 120 q^{80} - 12 q^{81} + 4 q^{82} - 12 q^{83} + 2 q^{85} - 264 q^{86} + 102 q^{87} + 48 q^{88} - 34 q^{90} - 8 q^{91} + 54 q^{92} - 52 q^{93} - 36 q^{95} + 96 q^{96} + 2 q^{97} + 42 q^{98}+O(q^{100}) \) 464 * q - 6 * q^2 - 2 * q^3 - 4 * q^6 - 4 * q^7 - 4 * q^10 - 24 * q^11 + 2 * q^12 + 2 * q^13 + 10 * q^15 + 212 * q^16 + 18 * q^17 - 24 * q^18 - 12 * q^20 - 4 * q^21 - 20 * q^22 + 18 * q^23 - 4 * q^25 - 2 * q^27 - 20 * q^28 + 2 * q^30 - 8 * q^31 - 30 * q^32 + 10 * q^33 - 68 * q^36 - 16 * q^37 + 30 * q^38 - 36 * q^40 - 14 * q^42 + 2 * q^43 + 6 * q^45 - 56 * q^46 + 42 * q^48 - 108 * q^50 + 12 * q^51 - 34 * q^52 - 14 * q^55 - 24 * q^56 - 78 * q^57 - 12 * q^58 - 42 * q^60 - 8 * q^61 - 12 * q^62 + 92 * q^63 - 84 * q^65 - 52 * q^66 + 2 * q^67 - 60 * q^68 - 84 * q^70 - 118 * q^72 - 4 * q^73 + 98 * q^75 - 60 * q^76 - 12 * q^77 + 92 * q^78 + 120 * q^80 - 12 * q^81 + 4 * q^82 - 12 * q^83 + 2 * q^85 - 264 * q^86 + 102 * q^87 + 48 * q^88 - 34 * q^90 - 8 * q^91 + 54 * q^92 - 52 * q^93 - 36 * q^95 + 96 * q^96 + 2 * q^97 + 42 * q^98

Introduction

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