LMFDB - Embedded newform 360.2.bm.b.11.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(11,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))

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

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

chi := DirichletCharacter("360.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bm (of order $6$, degree $2$, 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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$24$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.10
Character	$\chi$	$=$	360.11
Dual form			360.2.bm.b.131.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.582600 - 1.28863i) q^{2} +(1.36390 + 1.06761i) q^{3} +(-1.32115 + 1.50152i) q^{4} +(0.500000 + 0.866025i) q^{5} +(0.581150 - 2.37955i) q^{6} +(-1.02179 - 0.589933i) q^{7} +(2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +O(q^{10})$	\(q+(-0.582600 - 1.28863i) q^{2} +(1.36390 + 1.06761i) q^{3} +(-1.32115 + 1.50152i) q^{4} +(0.500000 + 0.866025i) q^{5} +(0.581150 - 2.37955i) q^{6} +(-1.02179 - 0.589933i) q^{7} +(2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +(0.824689 - 1.14886i) q^{10} +(1.46604 + 0.846417i) q^{11} +(-3.40495 + 0.637438i) q^{12} +(-0.622400 + 0.359343i) q^{13} +(-0.164910 + 1.66041i) q^{14} +(-0.242628 + 1.71497i) q^{15} +(-0.509106 - 3.96747i) q^{16} +4.05527i q^{17} +(3.33306 - 2.62502i) q^{18} +5.64306 q^{19} +(-1.96093 - 0.393394i) q^{20} +(-0.763803 - 1.89548i) q^{21} +(0.236608 - 2.38231i) q^{22} +(2.06520 + 3.57703i) q^{23} +(2.80515 + 4.01636i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(0.825672 + 0.592693i) q^{26} +(-2.12652 + 4.74109i) q^{27} +(2.23574 - 0.754849i) q^{28} +(-1.77305 + 3.07101i) q^{29} +(2.35133 - 0.686485i) q^{30} +(0.580112 - 0.334928i) q^{31} +(-4.81601 + 2.96750i) q^{32} +(1.09588 + 2.71958i) q^{33} +(5.22575 - 2.36260i) q^{34} -1.17987i q^{35} +(-5.32453 - 2.76575i) q^{36} -11.3000i q^{37} +(-3.28765 - 7.27184i) q^{38} +(-1.23253 - 0.174373i) q^{39} +(0.635497 + 2.75611i) q^{40} +(0.943354 - 0.544646i) q^{41} +(-1.99759 + 2.08857i) q^{42} +(1.39038 - 2.40820i) q^{43} +(-3.20777 + 1.08303i) q^{44} +(-2.16184 + 2.08001i) q^{45} +(3.40630 - 4.74527i) q^{46} +(2.66393 - 4.61407i) q^{47} +(3.54134 - 5.95474i) q^{48} +(-2.80396 - 4.85660i) q^{49} +(1.40729 + 0.139770i) q^{50} +(-4.32944 + 5.53096i) q^{51} +(0.282727 - 1.40929i) q^{52} -9.15371 q^{53} +(7.34844 - 0.0218530i) q^{54} +1.69283i q^{55} +(-2.27527 - 2.44128i) q^{56} +(7.69655 + 6.02458i) q^{57} +(4.99039 + 0.495639i) q^{58} +(6.11816 - 3.53232i) q^{59} +(-2.25451 - 2.63005i) q^{60} +(-2.33213 - 1.34646i) q^{61} +(-0.769572 - 0.552423i) q^{62} +(0.981886 - 3.40068i) q^{63} +(6.62983 + 4.47720i) q^{64} +(-0.622400 - 0.359343i) q^{65} +(2.86608 - 2.99662i) q^{66} +(-7.74884 - 13.4214i) q^{67} +(-6.08905 - 5.35763i) q^{68} +(-1.00215 + 7.08353i) q^{69} +(-1.52042 + 0.687390i) q^{70} +10.1211 q^{71} +(-0.461969 + 8.47270i) q^{72} -7.59376 q^{73} +(-14.5616 + 6.58341i) q^{74} +(-1.60652 + 0.647364i) q^{75} +(-7.45535 + 8.47315i) q^{76} +(-0.998659 - 1.72973i) q^{77} +(0.493367 + 1.68987i) q^{78} +(11.3263 + 6.53925i) q^{79} +(3.18138 - 2.42463i) q^{80} +(-7.96198 + 4.19606i) q^{81} +(-1.25145 - 0.898327i) q^{82} +(-12.0184 - 6.93884i) q^{83} +(3.85520 + 1.35736i) q^{84} +(-3.51196 + 2.02763i) q^{85} +(-3.91332 - 0.388666i) q^{86} +(-5.69690 + 2.29562i) q^{87} +(3.26448 + 3.50267i) q^{88} +4.96883i q^{89} +(3.93986 + 1.57400i) q^{90} +0.847953 q^{91} +(-8.09943 - 1.62488i) q^{92} +(1.14878 + 0.162526i) q^{93} +(-7.49786 - 0.744677i) q^{94} +(2.82153 + 4.88703i) q^{95} +(-9.73666 - 1.09425i) q^{96} +(-0.862865 + 1.49453i) q^{97} +(-4.62479 + 6.44273i) q^{98} +(-1.40878 + 4.87919i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 24 q^{5} - q^{6} + 6 q^{8}+O(q^{10}) $ 48 * q + 24 * q^5 - q^6 + 6 * q^8	$ 48 q + 24 q^{5} - q^{6} + 6 q^{8} + 13 q^{12} + 15 q^{14} - 12 q^{16} + 7 q^{18} + 4 q^{21} - 21 q^{22} - 4 q^{24} - 24 q^{25} + 12 q^{27} - 2 q^{30} - 8 q^{33} - 27 q^{34} - 31 q^{36} - 27 q^{38} - 16 q^{39} + 12 q^{40} + 12 q^{41} - 9 q^{42} + 24 q^{44} - 6 q^{46} - 12 q^{47} + 7 q^{48} + 24 q^{49} - 20 q^{51} + 54 q^{52} - 32 q^{54} + 21 q^{56} + 4 q^{57} + 33 q^{58} - 36 q^{59} - q^{60} - 12 q^{61} - 42 q^{62} - 56 q^{63} - 12 q^{64} - 32 q^{66} + 51 q^{68} + 40 q^{69} + 15 q^{70} + 6 q^{72} + 54 q^{74} - 51 q^{76} - 24 q^{78} - 8 q^{81} - 18 q^{82} - 60 q^{83} + 41 q^{84} + 27 q^{86} - 36 q^{87} - 57 q^{88} - 22 q^{90} - 9 q^{92} - 75 q^{94} + 13 q^{96} - 42 q^{98} - 16 q^{99}+O(q^{100}) $ 48 * q + 24 * q^5 - q^6 + 6 * q^8 + 13 * q^12 + 15 * q^14 - 12 * q^16 + 7 * q^18 + 4 * q^21 - 21 * q^22 - 4 * q^24 - 24 * q^25 + 12 * q^27 - 2 * q^30 - 8 * q^33 - 27 * q^34 - 31 * q^36 - 27 * q^38 - 16 * q^39 + 12 * q^40 + 12 * q^41 - 9 * q^42 + 24 * q^44 - 6 * q^46 - 12 * q^47 + 7 * q^48 + 24 * q^49 - 20 * q^51 + 54 * q^52 - 32 * q^54 + 21 * q^56 + 4 * q^57 + 33 * q^58 - 36 * q^59 - q^60 - 12 * q^61 - 42 * q^62 - 56 * q^63 - 12 * q^64 - 32 * q^66 + 51 * q^68 + 40 * q^69 + 15 * q^70 + 6 * q^72 + 54 * q^74 - 51 * q^76 - 24 * q^78 - 8 * q^81 - 18 * q^82 - 60 * q^83 + 41 * q^84 + 27 * q^86 - 36 * q^87 - 57 * q^88 - 22 * q^90 - 9 * q^92 - 75 * q^94 + 13 * q^96 - 42 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−0.582600	−	1.28863i	−0.411961	−	0.911202i
$2$	−0.582600	−	1.28863i	−0.411961	−	0.911202i
$3$	1.36390	+	1.06761i	0.787446	+	0.616384i
$3$	1.36390	+	1.06761i	0.787446	+	0.616384i
$4$	−1.32115	+	1.50152i	−0.660577	+	0.750758i
$5$	0.500000	+	0.866025i	0.223607	+	0.387298i
$5$	0.500000	+	0.866025i	0.223607	+	0.387298i
$6$	0.581150	−	2.37955i	0.237254	−	0.971448i
$7$	−1.02179	−	0.589933i	−0.386202	−	0.222974i	0.294311	−	0.955710i	$-0.404910\pi$
$7$	−1.02179	−	0.589933i	−0.386202	−	0.222974i	−0.680513	+	0.732736i	$0.738243\pi$
$8$	2.70461	+	0.827699i	0.956224	+	0.292636i
$9$	0.720424	+	2.91221i	0.240141	+	0.970738i
$10$	0.824689	−	1.14886i	0.260790	−	0.363303i
$11$	1.46604	+	0.846417i	0.442027	+	0.255204i	0.704457	−	0.709747i	$-0.251191\pi$
$11$	1.46604	+	0.846417i	0.442027	+	0.255204i	−0.262430	+	0.964951i	$0.584524\pi$
$12$	−3.40495	+	0.637438i	−0.982924	+	0.184012i
$13$	−0.622400	+	0.359343i	−0.172623	+	0.0996638i	−0.583822	−	0.811882i	$-0.698443\pi$
$13$	−0.622400	+	0.359343i	−0.172623	+	0.0996638i	0.411199	+	0.911546i	$0.365110\pi$
$14$	−0.164910	+	1.66041i	−0.0440741	+	0.443764i
$15$	−0.242628	+	1.71497i	−0.0626463	+	0.442804i
$16$	−0.509106	−	3.96747i	−0.127277	−	0.991867i
$17$			4.05527i			0.983547i	0.870723	+	0.491773i	$0.163651\pi$
$17$			4.05527i			0.983547i	−0.870723	+	0.491773i	$0.836349\pi$
$18$	3.33306	−	2.62502i	0.785609	−	0.618723i
$19$	5.64306			1.29461			0.647303	−	0.762232i	$-0.275897\pi$
$19$	5.64306			1.29461			0.647303	+	0.762232i	$0.275897\pi$
$20$	−1.96093	−	0.393394i	−0.438477	−	0.0879656i
$21$	−0.763803	−	1.89548i	−0.166675	−	0.413628i
$22$	0.236608	−	2.38231i	0.0504449	−	0.507910i
$23$	2.06520	+	3.57703i	0.430624	+	0.745863i	0.996927	−	0.0783339i	$-0.0249600\pi$
$23$	2.06520	+	3.57703i	0.430624	+	0.745863i	−0.566303	+	0.824197i	$0.691627\pi$
$24$	2.80515	+	4.01636i	0.572598	+	0.819836i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	0.825672	+	0.592693i	0.161928	+	0.116237i
$27$	−2.12652	+	4.74109i	−0.409249	+	0.912423i
$28$	2.23574	−	0.754849i	0.422515	−	0.142653i
$29$	−1.77305	+	3.07101i	−0.329247	+	0.570273i	−0.982363	−	0.186985i	$-0.940128\pi$
$29$	−1.77305	+	3.07101i	−0.329247	+	0.570273i	0.653115	+	0.757258i	$0.273462\pi$
$30$	2.35133	−	0.686485i	0.429292	−	0.125334i
$31$	0.580112	−	0.334928i	0.104191	−	0.0601548i	−0.446999	−	0.894534i	$-0.647507\pi$
$31$	0.580112	−	0.334928i	0.104191	−	0.0601548i	0.551190	+	0.834380i	$0.314174\pi$
$32$	−4.81601	+	2.96750i	−0.851358	+	0.524585i
$33$	1.09588	+	2.71958i	0.190768	+	0.473418i
$34$	5.22575	−	2.36260i	0.896209	−	0.405183i
$35$		−	1.17987i		−	0.199434i
$36$	−5.32453	−	2.76575i	−0.887422	−	0.460959i
$37$		−	11.3000i		−	1.85772i	−0.370437	−	0.928858i	$-0.620792\pi$
$37$		−	11.3000i		−	1.85772i	0.370437	−	0.928858i	$-0.379208\pi$
$38$	−3.28765	−	7.27184i	−0.533327	−	1.17965i
$39$	−1.23253	−	0.174373i	−0.197362	−	0.0279221i
$40$	0.635497	+	2.75611i	0.100481	+	0.435779i
$41$	0.943354	−	0.544646i	0.147327	−	0.0850593i	−0.424524	−	0.905416i	$-0.639559\pi$
$41$	0.943354	−	0.544646i	0.147327	−	0.0850593i	0.571851	+	0.820357i	$0.306225\pi$
$42$	−1.99759	+	2.08857i	−0.308235	+	0.322274i
$43$	1.39038	−	2.40820i	0.212030	−	0.367247i	−0.740320	−	0.672255i	$-0.765326\pi$
$43$	1.39038	−	2.40820i	0.212030	−	0.367247i	0.952350	+	0.305008i	$0.0986591\pi$
$44$	−3.20777	+	1.08303i	−0.483590	+	0.163273i
$45$	−2.16184	+	2.08001i	−0.322268	+	0.310070i
$46$	3.40630	−	4.74527i	0.502232	−	0.699652i
$47$	2.66393	−	4.61407i	0.388575	−	0.673031i	−0.603683	−	0.797224i	$-0.706301\pi$
$47$	2.66393	−	4.61407i	0.388575	−	0.673031i	0.992258	+	0.124193i	$0.0396342\pi$
$48$	3.54134	−	5.95474i	0.511148	−	0.859493i
$49$	−2.80396	−	4.85660i	−0.400565	−	0.693800i
$50$	1.40729	+	0.139770i	0.199021	+	0.0197665i
$51$	−4.32944	+	5.53096i	−0.606242	+	0.774490i
$52$	0.282727	−	1.40929i	0.0392072	−	0.195434i
$53$	−9.15371			−1.25736			−0.628680	−	0.777664i	$-0.716404\pi$
$53$	−9.15371			−1.25736			−0.628680	+	0.777664i	$0.716404\pi$
$54$	7.34844	−	0.0218530i	0.999996	−	0.00297381i
$55$			1.69283i			0.228262i
$56$	−2.27527	−	2.44128i	−0.304045	−	0.326229i
$57$	7.69655	+	6.02458i	1.01943	+	0.797975i
$58$	4.99039	+	0.495639i	0.655271	+	0.0650806i
$59$	6.11816	−	3.53232i	0.796516	−	0.459869i	−0.0457354	−	0.998954i	$-0.514563\pi$
$59$	6.11816	−	3.53232i	0.796516	−	0.459869i	0.842251	+	0.539085i	$0.181230\pi$
$60$	−2.25451	−	2.63005i	−0.291056	−	0.339538i
$61$	−2.33213	−	1.34646i	−0.298599	−	0.172396i	0.343214	−	0.939257i	$-0.388484\pi$
$61$	−2.33213	−	1.34646i	−0.298599	−	0.172396i	−0.641813	+	0.766861i	$0.721818\pi$
$62$	−0.769572	−	0.552423i	−0.0977358	−	0.0701577i
$63$	0.981886	−	3.40068i	0.123706	−	0.428446i
$64$	6.62983	+	4.47720i	0.828729	+	0.559651i
$65$	−0.622400	−	0.359343i	−0.0771993	−	0.0445710i
$66$	2.86608	−	2.99662i	0.352790	−	0.368858i
$67$	−7.74884	−	13.4214i	−0.946672	−	1.63968i	−0.752369	−	0.658742i	$-0.771089\pi$
$67$	−7.74884	−	13.4214i	−0.946672	−	1.63968i	−0.194303	−	0.980942i	$-0.562244\pi$
$68$	−6.08905	−	5.35763i	−0.738406	−	0.649708i
$69$	−1.00215	+	7.08353i	−0.120645	+	0.852757i
$70$	−1.52042	+	0.687390i	−0.181724	+	0.0821589i
$71$	10.1211			1.20115			0.600576	−	0.799568i	$-0.294938\pi$
$71$	10.1211			1.20115			0.600576	+	0.799568i	$0.294938\pi$
$72$	−0.461969	+	8.47270i	−0.0544436	+	0.998517i
$73$	−7.59376			−0.888782			−0.444391	−	0.895833i	$-0.646580\pi$
$73$	−7.59376			−0.888782			−0.444391	+	0.895833i	$0.646580\pi$
$74$	−14.5616	+	6.58341i	−1.69275	+	0.765306i
$75$	−1.60652	+	0.647364i	−0.185505	+	0.0747512i
$76$	−7.45535	+	8.47315i	−0.855187	+	0.971937i
$77$	−0.998659	−	1.72973i	−0.113808	−	0.197121i
$78$	0.493367	+	1.68987i	0.0558628	+	0.191340i
$79$	11.3263	+	6.53925i	1.27431	+	0.735723i	0.975796	−	0.218682i	$-0.0701757\pi$
$79$	11.3263	+	6.53925i	1.27431	+	0.735723i	0.298514	+	0.954405i	$0.403509\pi$
$80$	3.18138	−	2.42463i	0.355689	−	0.271082i
$81$	−7.96198	+	4.19606i	−0.884664	+	0.466229i
$82$	−1.25145	−	0.898327i	−0.138199	−	0.0992036i
$83$	−12.0184	−	6.93884i	−1.31919	−	0.761637i	−0.335595	−	0.942006i	$-0.608937\pi$
$83$	−12.0184	−	6.93884i	−1.31919	−	0.761637i	−0.983599	+	0.180369i	$0.942271\pi$
$84$	3.85520	+	1.35736i	0.420637	+	0.148100i
$85$	−3.51196	+	2.02763i	−0.380926	+	0.219928i
$86$	−3.91332	−	0.388666i	−0.421984	−	0.0419109i
$87$	−5.69690	+	2.29562i	−0.610772	+	0.246116i
$88$	3.26448	+	3.50267i	0.347995	+	0.373385i
$89$			4.96883i			0.526695i	0.964701	+	0.263347i	$0.0848265\pi$
$89$			4.96883i			0.526695i	−0.964701	+	0.263347i	$0.915173\pi$
$90$	3.93986	+	1.57400i	0.415298	+	0.165914i
$91$	0.847953			0.0888896
$92$	−8.09943	−	1.62488i	−0.844424	−	0.169405i
$93$	1.14878	+	0.162526i	0.119123	+	0.0168531i
$94$	−7.49786	−	0.744677i	−0.773345	−	0.0768076i
$95$	2.82153	+	4.88703i	0.289483	+	0.501399i
$96$	−9.73666	−	1.09425i	−0.993744	−	0.111681i
$97$	−0.862865	+	1.49453i	−0.0876107	+	0.151746i	−0.906501	−	0.422204i	$-0.861256\pi$
$97$	−0.862865	+	1.49453i	−0.0876107	+	0.151746i	0.818890	+	0.573950i	$0.194590\pi$
$98$	−4.62479	+	6.44273i	−0.467174	+	0.650814i
$99$	−1.40878	+	4.87919i	−0.141588	+	0.490377i
$100$	−0.639775	−	1.89491i	−0.0639775	−	0.189491i
$101$	−6.41428	+	11.1099i	−0.638244	+	1.10547i	0.347573	+	0.937653i	$0.387006\pi$
$101$	−6.41428	+	11.1099i	−0.638244	+	1.10547i	−0.985818	+	0.167819i	$0.946328\pi$
$102$	9.64971	+	2.35672i	0.955464	+	0.233350i
$103$	−4.07102	+	2.35040i	−0.401129	+	0.231592i	−0.686971	−	0.726685i	$-0.741060\pi$
$103$	−4.07102	+	2.35040i	−0.401129	+	0.231592i	0.285842	+	0.958277i	$0.407727\pi$
$104$	−1.98078	+	0.456723i	−0.194231	+	0.0447853i
$105$	1.25963	−	1.60921i	0.122928	−	0.157043i
$106$	5.33296	+	11.7958i	0.517983	+	1.14571i
$107$		−	10.3904i		−	1.00448i	−0.864728	−	0.502240i	$-0.832509\pi$
$107$		−	10.3904i		−	1.00448i	0.864728	−	0.502240i	$-0.167491\pi$
$108$	−4.30936	−	9.45671i	−0.414669	−	0.909973i
$109$			12.0084i			1.15020i	0.818085	+	0.575098i	$0.195036\pi$
$109$			12.0084i			1.15020i	−0.818085	+	0.575098i	$0.804964\pi$
$110$	2.18144	−	0.986246i	0.207992	−	0.0940349i
$111$	12.0640	−	15.4121i	1.14507	−	1.46285i
$112$	−1.82034	+	4.35427i	−0.172006	+	0.411440i
$113$	5.20551	−	3.00540i	0.489693	−	0.282725i	−0.234754	−	0.972055i	$-0.575428\pi$
$113$	5.20551	−	3.00540i	0.489693	−	0.282725i	0.724447	+	0.689330i	$0.242095\pi$
$114$	3.27946	−	13.4280i	0.307150	−	1.25764i
$115$	−2.06520	+	3.57703i	−0.192581	+	0.333560i
$116$	−2.26871	−	6.71955i	−0.210644	−	0.623894i
$117$	−1.49488	−	1.55368i	−0.138201	−	0.143638i
$118$	−8.11631	−	5.82613i	−0.747166	−	0.536339i
$119$	2.39234	−	4.14365i	0.219305	−	0.379847i
$120$	−2.07570	+	4.43751i	−0.189484	+	0.405087i
$121$	−4.06716	−	7.04452i	−0.369741	−	0.640411i
$122$	−0.376389	+	3.78971i	−0.0340767	+	0.343104i
$123$	1.86810	+	0.264293i	0.168441	+	0.0238305i
$124$	−0.263517	+	1.31354i	−0.0236645	+	0.117959i
$125$	−1.00000			−0.0894427
$126$	−4.95428	+	0.715948i	−0.441363	+	0.0637818i
$127$		−	0.294527i		−	0.0261350i	−0.999915	−	0.0130675i	$-0.995840\pi$
$127$		−	0.294527i		−	0.0261350i	0.999915	−	0.0130675i	$-0.00415964\pi$
$128$	1.90693	−	11.1518i	0.168551	−	0.985693i
$129$	4.46734	−	1.80016i	0.393328	−	0.158495i
$130$	−0.100451	+	1.01140i	−0.00881012	+	0.0887056i
$131$	14.7549	−	8.51875i	1.28914	−	0.744287i	0.310641	−	0.950527i	$-0.399456\pi$
$131$	14.7549	−	8.51875i	1.28914	−	0.744287i	0.978501	+	0.206241i	$0.0661230\pi$
$132$	−5.53132	−	1.94750i	−0.481440	−	0.169508i
$133$	−5.76604	−	3.32903i	−0.499979	−	0.288663i
$134$	−12.7808	+	17.8047i	−1.10409	+	1.53809i
$135$	−5.16916	+	0.528923i	−0.444891	+	0.0455224i
$136$	−3.35654	+	10.9679i	−0.287821	+	0.940491i
$137$	11.4836	+	6.63009i	0.981114	+	0.566447i	0.902606	−	0.430467i	$-0.141651\pi$
$137$	11.4836	+	6.63009i	0.981114	+	0.566447i	0.0785079	+	0.996913i	$0.474984\pi$
$138$	9.71193	−	2.83546i	0.826734	−	0.241370i
$139$	−5.95041	−	10.3064i	−0.504707	−	0.874179i	−0.999985	−	0.00544412i	$-0.998267\pi$
$139$	−5.95041	−	10.3064i	−0.504707	−	0.874179i	0.495278	−	0.868735i	$-0.335066\pi$
$140$	1.77159	+	1.55878i	0.149727	+	0.131741i
$141$	8.55935	−	3.44907i	0.720827	−	0.290464i
$142$	−5.89655	−	13.0424i	−0.494827	−	1.09449i
$143$	−1.21662			−0.101739
$144$	11.1873	−	4.34089i	0.932279	−	0.361741i
$145$	−3.54610			−0.294488
$146$	4.42413	+	9.78557i	0.366143	+	0.809860i
$147$	1.36064	−	9.61742i	0.112224	−	0.793232i
$148$	16.9672	+	14.9291i	1.39470	+	1.22716i
$149$	−9.19823	−	15.9318i	−0.753548	−	1.30518i	−0.946093	−	0.323896i	$-0.895007\pi$
$149$	−9.19823	−	15.9318i	−0.753548	−	1.30518i	0.192545	−	0.981288i	$-0.438326\pi$
$150$	1.77018	+	1.69307i	0.144534	+	0.138238i
$151$	0.302444	+	0.174616i	0.0246126	+	0.0142101i	0.512256	−	0.858833i	$-0.328810\pi$
$151$	0.302444	+	0.174616i	0.0246126	+	0.0142101i	−0.487643	+	0.873043i	$0.662143\pi$
$152$	15.2623	+	4.67075i	1.23793	+	0.378848i
$153$	−11.8098	+	2.92151i	−0.954766	+	0.236190i
$154$	−1.64717	+	2.29465i	−0.132732	+	0.184908i
$155$	0.580112	+	0.334928i	0.0465957	+	0.0269020i
$156$	1.89018	−	1.62029i	0.151336	−	0.129727i
$157$	18.6531	−	10.7693i	1.48868	−	0.859488i	0.488760	−	0.872418i	$-0.337449\pi$
$157$	18.6531	−	10.7693i	1.48868	−	0.859488i	0.999916	+	0.0129307i	$0.00411608\pi$
$158$	1.82798	−	18.4052i	0.145427	−	1.46424i
$159$	−12.4847	−	9.77258i	−0.990102	−	0.775016i
$160$	−4.97794	−	2.68704i	−0.393540	−	0.212429i
$161$		−	4.87332i		−	0.384072i
$162$	10.0458	+	7.81545i	0.789275	+	0.614040i
$163$	7.31335			0.572826			0.286413	−	0.958106i	$-0.407537\pi$
$163$	7.31335			0.572826			0.286413	+	0.958106i	$0.407537\pi$
$164$	−0.428521	+	2.13602i	−0.0334618	+	0.166795i
$165$	−1.80728	+	2.30885i	−0.140697	+	0.179744i
$166$	−1.93969	+	19.5299i	−0.150549	+	1.51582i
$167$	7.04946	+	12.2100i	0.545504	+	0.944840i	0.998575	+	0.0533657i	$0.0169949\pi$
$167$	7.04946	+	12.2100i	0.545504	+	0.944840i	−0.453071	+	0.891474i	$0.649672\pi$
$168$	−0.496900	−	5.75874i	−0.0383367	−	0.444297i
$169$	−6.24175	+	10.8110i	−0.480134	+	0.831617i
$170$	4.65895	+	3.34434i	0.357325	+	0.256499i
$171$	4.06540	+	16.4338i	0.310889	+	1.25672i
$172$	1.77905	+	5.26927i	0.135652	+	0.401778i
$173$	−8.65925	+	14.9983i	−0.658351	+	1.14030i	0.322692	+	0.946504i	$0.395412\pi$
$173$	−8.65925	+	14.9983i	−0.658351	+	1.14030i	−0.981043	+	0.193793i	$0.937921\pi$
$174$	6.27723	+	6.00379i	0.475875	+	0.455146i
$175$	1.02179	−	0.589933i	0.0772404	−	0.0445947i
$176$	2.61176	−	6.24738i	0.196869	−	0.470914i
$177$	12.1157	+	1.71408i	0.910669	+	0.128838i
$178$	6.40300	−	2.89484i	0.479925	−	0.216977i
$179$			4.99037i			0.372998i	0.982455	+	0.186499i	$0.0597141\pi$
$179$			4.99037i			0.372998i	−0.982455	+	0.186499i	$0.940286\pi$
$180$	−0.267053	−	5.99405i	−0.0199049	−	0.446770i
$181$		−	20.6992i		−	1.53856i	−0.638911	−	0.769281i	$-0.720615\pi$
$181$		−	20.6992i		−	1.53856i	0.638911	−	0.769281i	$-0.279385\pi$
$182$	−0.494018	−	1.09270i	−0.0366190	−	0.0809964i
$183$	−1.74330	−	4.32623i	−0.128868	−	0.319804i
$184$	2.62486	+	11.3838i	0.193507	+	0.839229i
$185$	9.78612	−	5.65002i	0.719490	−	0.415398i
$186$	−0.459846	−	1.57505i	−0.0337175	−	0.115488i
$187$	−3.43245	+	5.94517i	−0.251005	+	0.434754i
$188$	3.40864	+	10.0958i	0.248600	+	0.736315i
$189$	4.96979	−	3.58991i	0.361499	−	0.261127i
$190$	4.65377	−	6.48311i	0.337620	−	0.470334i
$191$	9.61931	−	16.6611i	0.696029	−	1.20556i	−0.273803	−	0.961786i	$-0.588282\pi$
$191$	9.61931	−	16.6611i	0.696029	−	1.20556i	0.969833	−	0.243772i	$-0.0783849\pi$
$192$	4.26250	+	13.1845i	0.307619	+	0.951510i
$193$	−10.6944	−	18.5233i	−0.769801	−	1.33333i	−0.937671	−	0.347525i	$-0.887022\pi$
$193$	−10.6944	−	18.5233i	−0.769801	−	1.33333i	0.167870	−	0.985809i	$-0.446311\pi$
$194$	2.42860	+	0.241205i	0.174363	+	0.0173175i
$195$	−0.465252	−	1.15459i	−0.0333174	−	0.0826816i
$196$	10.9967	+	2.20612i	0.785480	+	0.157580i
$197$	18.9347			1.34904			0.674522	−	0.738255i	$-0.264350\pi$
$197$	18.9347			1.34904			0.674522	+	0.738255i	$0.264350\pi$
$198$	7.10825	−	1.02722i	0.505161	−	0.0730014i
$199$			24.2052i			1.71586i	0.513765	+	0.857931i	$0.328250\pi$
$199$			24.2052i			1.71586i	−0.513765	+	0.857931i	$0.671750\pi$
$200$	−2.06911	+	1.92841i	−0.146308	+	0.136359i
$201$	3.76017	−	26.5781i	0.265222	−	1.87467i
$202$	18.0535	+	1.79305i	1.27024	+	0.126158i
$203$	3.62339	−	2.09196i	0.254312	−	0.146827i
$204$	−2.58498	−	13.8080i	−0.180985	−	0.966751i
$205$	0.943354	+	0.544646i	0.0658867	+	0.0380397i
$206$	5.40058	+	3.87670i	0.376276	+	0.270103i
$207$	−8.92927	+	8.59129i	−0.620627	+	0.597136i
$208$	1.74255	+	2.28641i	0.120824	+	0.158534i
$209$	8.27294	+	4.77638i	0.572251	+	0.330389i
$210$	−2.80755	−	0.685679i	−0.193739	−	0.0473164i
$211$	9.25728	+	16.0341i	0.637297	+	1.10383i	0.986023	+	0.166606i	$0.0532810\pi$
$211$	9.25728	+	16.0341i	0.637297	+	1.10383i	−0.348726	+	0.937225i	$0.613386\pi$
$212$	12.0935	−	13.7445i	0.830582	−	0.943973i
$213$	13.8041	+	10.8054i	0.945842	+	0.740371i
$214$	−13.3894	+	6.05346i	−0.915283	+	0.413806i
$215$	2.78075			0.189646
$216$	−9.67560	+	11.0627i	−0.658341	+	0.752720i
$217$	−0.790340			−0.0536517
$218$	15.4744	−	6.99609i	1.04806	−	0.473835i
$219$	−10.3571	−	8.10716i	−0.699868	−	0.547831i
$220$	−2.54182	−	2.23649i	−0.171369	−	0.150784i
$221$	−1.45723	−	2.52400i	−0.0980240	−	0.169783i
$222$	−26.8890	−	6.56702i	−1.80467	−	0.440750i
$223$	−10.3230	−	5.95998i	−0.691278	−	0.399110i	0.112813	−	0.993616i	$-0.464014\pi$
$223$	−10.3230	−	5.95998i	−0.691278	−	0.399110i	−0.804091	+	0.594507i	$0.797347\pi$
$224$	6.67159	−	0.191052i	0.445765	−	0.0127652i
$225$	−2.88226	−	0.832201i	−0.192151	−	0.0554801i
$226$	−6.90560	−	4.95705i	−0.459354	−	0.329738i
$227$	−9.34236	−	5.39382i	−0.620074	−	0.358000i	0.156824	−	0.987627i	$-0.449875\pi$
$227$	−9.34236	−	5.39382i	−0.620074	−	0.358000i	−0.776898	+	0.629627i	$0.783208\pi$
$228$	−19.2143	+	3.59710i	−1.27250	+	0.238224i
$229$	22.7576	−	13.1391i	1.50386	−	0.868257i	0.503875	−	0.863777i	$-0.331907\pi$
$229$	22.7576	−	13.1391i	1.50386	−	0.868257i	0.999990	−	0.00448002i	$-0.00142604\pi$
$230$	5.81268	+	0.577307i	0.383276	+	0.0380665i
$231$	0.484605	−	3.42535i	0.0318847	−	0.225371i
$232$	−7.33729	+	6.83834i	−0.481716	+	0.448959i
$233$			9.55605i			0.626037i	0.949747	+	0.313019i	$0.101340\pi$
$233$			9.55605i			0.626037i	−0.949747	+	0.313019i	$0.898660\pi$
$234$	−1.13121	+	2.83152i	−0.0739497	+	0.185102i
$235$	5.32787			0.347552
$236$	−2.77919	+	13.8533i	−0.180910	+	0.901770i
$237$	8.46656	+	21.0109i	0.549962	+	1.36481i
$238$	−6.73342	−	0.668754i	−0.436463	−	0.0433489i
$239$	−11.6389	−	20.1591i	−0.752856	−	1.30398i	−0.946433	−	0.322899i	$-0.895342\pi$
$239$	−11.6389	−	20.1591i	−0.752856	−	1.30398i	0.193578	−	0.981085i	$-0.437991\pi$
$240$	6.92762	+	0.0895162i	0.447176	+	0.00577824i
$241$	−3.37713	+	5.84936i	−0.217540	+	0.376791i	−0.954055	−	0.299630i	$-0.903137\pi$
$241$	−3.37713	+	5.84936i	−0.217540	+	0.376791i	0.736515	+	0.676421i	$0.236470\pi$
$242$	−6.70828	+	9.34521i	−0.431225	+	0.600733i
$243$	−15.3391	−	2.77729i	−0.984001	−	0.178163i
$244$	5.10283	−	1.72286i	0.326676	−	0.110295i
$245$	2.80396	−	4.85660i	0.179138	−	0.310277i
$246$	−0.747782	−	2.56128i	−0.0476768	−	0.163301i
$247$	−3.51224	+	2.02779i	−0.223479	+	0.129025i
$248$	1.84620	−	0.425691i	0.117234	−	0.0270314i
$249$	−8.98392	−	22.2948i	−0.569333	−	1.41288i
$250$	0.582600	+	1.28863i	0.0368469	+	0.0815004i
$251$			8.53803i			0.538916i	0.963012	+	0.269458i	$0.0868445\pi$
$251$			8.53803i			0.538916i	−0.963012	+	0.269458i	$0.913155\pi$
$252$	3.80896	+	5.96714i	0.239942	+	0.375895i
$253$			6.99209i			0.439589i
$254$	−0.379537	+	0.171591i	−0.0238143	+	0.0107666i
$255$	−6.95467	−	0.983922i	−0.435518	−	0.0616156i
$256$	−15.4816	+	4.03973i	−0.967601	+	0.252483i
$257$	−7.26049	+	4.19184i	−0.452897	+	0.261480i	−0.709053	−	0.705155i	$-0.750877\pi$
$257$	−7.26049	+	4.19184i	−0.452897	+	0.261480i	0.256156	+	0.966635i	$0.417544\pi$
$258$	−4.92242	−	4.70799i	−0.306456	−	0.293107i
$259$	−6.66627	+	11.5463i	−0.414222	+	0.717453i
$260$	1.36185	−	0.459797i	0.0844581	−	0.0285154i
$261$	−10.2208	−	2.95107i	−0.632652	−	0.182667i
$262$	−19.5738	−	14.0506i	−1.20927	−	0.868052i
$263$	−11.9363	+	20.6742i	−0.736022	+	1.27483i	0.218252	+	0.975892i	$0.429965\pi$
$263$	−11.9363	+	20.6742i	−0.736022	+	1.27483i	−0.954274	+	0.298935i	$0.903369\pi$
$264$	0.712937	+	8.26246i	0.0438782	+	0.508519i
$265$	−4.57686	−	7.92735i	−0.281154	−	0.486973i
$266$	−0.930597	+	9.36981i	−0.0570586	+	0.574500i
$267$	−5.30476	+	6.77696i	−0.324646	+	0.414743i
$268$	30.3898	+	6.09670i	1.85636	+	0.372415i
$269$	2.11822			0.129150			0.0645752	−	0.997913i	$-0.479431\pi$
$269$	2.11822			0.129150			0.0645752	+	0.997913i	$0.479431\pi$
$270$	3.69314	+	6.35301i	0.224758	+	0.386632i
$271$		−	3.47151i		−	0.210879i	−0.994426	−	0.105440i	$-0.966375\pi$
$271$		−	3.47151i		−	0.210879i	0.994426	−	0.105440i	$-0.0336250\pi$
$272$	16.0891	−	2.06456i	0.975548	−	0.125182i
$273$	1.15652	+	0.905282i	0.0699958	+	0.0547902i
$274$	1.85338	−	18.6609i	0.111967	−	1.12735i
$275$	−1.46604	+	0.846417i	−0.0884054	+	0.0510409i
$276$	−9.31204	−	10.8632i	−0.560519	−	0.653887i
$277$	−15.4700	−	8.93161i	−0.929502	−	0.536648i	−0.0428481	−	0.999082i	$-0.513643\pi$
$277$	−15.4700	−	8.93161i	−0.929502	−	0.536648i	−0.886654	+	0.462433i	$0.846976\pi$
$278$	−9.81448	+	13.6724i	−0.588634	+	0.820017i
$279$	1.39331	+	1.44812i	0.0834151	+	0.0866966i
$280$	0.976574	−	3.19108i	0.0583614	−	0.190703i
$281$	−6.19927	−	3.57915i	−0.369817	−	0.213514i	0.303561	−	0.952812i	$-0.401824\pi$
$281$	−6.19927	−	3.57915i	−0.369817	−	0.213514i	−0.673379	+	0.739298i	$0.735158\pi$
$282$	−9.43127	−	9.02044i	−0.561624	−	0.537159i
$283$	7.40809	+	12.8312i	0.440365	+	0.762735i	0.997716	−	0.0675418i	$-0.0215156\pi$
$283$	7.40809	+	12.8312i	0.440365	+	0.762735i	−0.557351	+	0.830277i	$0.688182\pi$
$284$	−13.3715	+	15.1970i	−0.793453	+	0.901775i
$285$	−1.36917	+	9.67769i	−0.0811023	+	0.573257i
$286$	0.708801	+	1.56777i	0.0419123	+	0.0927043i
$287$	−1.28522			−0.0758640
$288$	−12.1116	−	11.8874i	−0.713681	−	0.700471i
$289$	0.554813			0.0326361
$290$	2.06596	+	4.56963i	0.121317	+	0.268338i
$291$	−2.77243	+	1.11718i	−0.162523	+	0.0654900i
$292$	10.0325	−	11.4022i	0.587109	−	0.667261i
$293$	2.14191	+	3.70990i	0.125132	+	0.216735i	0.921784	−	0.387703i	$-0.126731\pi$
$293$	2.14191	+	3.70990i	0.125132	+	0.216735i	−0.796653	+	0.604437i	$0.793398\pi$
$294$	−13.1860	+	3.84975i	−0.769026	+	0.224522i
$295$	6.11816	+	3.53232i	0.356213	+	0.205660i
$296$	9.35303	−	30.5622i	0.543634	−	1.77639i
$297$	−7.13050	+	5.15069i	−0.413753	+	0.298873i
$298$	−15.1714	+	21.1350i	−0.878853	+	1.22432i
$299$	−2.57076	−	1.48423i	−0.148671	−	0.0858353i
$300$	1.15044	−	3.26749i	0.0664205	−	0.188649i
$301$	−2.84135	+	1.64046i	−0.163773	+	0.0945543i
$302$	0.0488123	−	0.491471i	0.00280883	−	0.0282810i
$303$	−20.6094	+	8.30475i	−1.18398	+	0.477095i
$304$	−2.87292	−	22.3887i	−0.164773	−	1.28408i
$305$		−	2.69292i		−	0.154196i
$306$	10.6452	+	13.5164i	0.608543	+	0.772683i
$307$	6.72522			0.383828			0.191914	−	0.981412i	$-0.438530\pi$
$307$	6.72522			0.383828			0.191914	+	0.981412i	$0.438530\pi$
$308$	3.91660	+	0.785733i	0.223169	+	0.0447713i
$309$	−8.06175	−	1.14055i	−0.458617	−	0.0648835i
$310$	0.0936258	−	0.942681i	0.00531759	−	0.0535407i
$311$	−1.29216	−	2.23808i	−0.0732715	−	0.126910i	0.827062	−	0.562111i	$-0.190011\pi$
$311$	−1.29216	−	2.23808i	−0.0732715	−	0.126910i	−0.900333	+	0.435201i	$0.856677\pi$
$312$	−3.18918	−	1.49177i	−0.180552	−	0.0844550i
$313$	3.48570	−	6.03740i	0.197023	−	0.341254i	−0.750539	−	0.660826i	$-0.770206\pi$
$313$	3.48570	−	6.03740i	0.197023	−	0.341254i	0.947562	+	0.319572i	$0.103539\pi$
$314$	−24.7450	−	17.7627i	−1.39644	−	1.00241i
$315$	3.43602	−	0.850004i	0.193598	−	0.0478923i
$316$	−24.7826	+	8.36730i	−1.39413	+	0.470697i
$317$	−0.840946	+	1.45656i	−0.0472322	+	0.0818086i	−0.888675	−	0.458538i	$-0.848373\pi$
$317$	−0.840946	+	1.45656i	−0.0472322	+	0.0818086i	0.841443	+	0.540346i	$0.181707\pi$
$318$	−5.31968	+	21.7817i	−0.298313	+	1.22146i
$319$	−5.19872	+	3.00148i	−0.291072	+	0.168051i
$320$	−0.562458	+	7.98020i	−0.0314423	+	0.446107i
$321$	11.0929	−	14.1714i	0.619145	−	0.790973i
$322$	−6.27993	+	2.83920i	−0.349967	+	0.158222i
$323$			22.8841i			1.27331i
$324$	4.21854	−	17.4987i	0.234364	−	0.972149i
$325$		−	0.718686i		−	0.0398655i
$326$	−4.26076	−	9.42423i	−0.235982	−	0.521960i
$327$	−12.8203	+	16.3782i	−0.708962	+	0.905716i
$328$	3.00221	−	0.692241i	0.165769	−	0.0382226i
$329$	−5.44398	+	3.14309i	−0.300137	+	0.173284i
$330$	4.02819	+	0.983791i	0.221744	+	0.0541559i
$331$	−1.29513	+	2.24323i	−0.0711868	+	0.123299i	−0.899422	−	0.437082i	$-0.856012\pi$
$331$	−1.29513	+	2.24323i	−0.0711868	+	0.123299i	0.828235	+	0.560381i	$0.189345\pi$
$332$	26.2970	−	8.87860i	1.44323	−	0.487276i
$333$	32.9081	−	8.14082i	1.80335	−	0.446114i
$334$	11.6272	−	16.1977i	0.636214	−	0.886301i
$335$	7.74884	−	13.4214i	0.423364	−	0.733289i
$336$	−7.13141	+	3.99537i	−0.389050	+	0.217965i
$337$	5.84149	+	10.1178i	0.318206	+	0.551150i	0.980114	−	0.198436i	$-0.0635862\pi$
$337$	5.84149	+	10.1178i	0.318206	+	0.551150i	−0.661907	+	0.749586i	$0.730253\pi$
$338$	17.5679	+	1.74482i	0.955567	+	0.0949056i
$339$	10.3084	+	1.45839i	0.559874	+	0.0792089i
$340$	1.59532	−	7.95209i	0.0865183	−	0.431263i
$341$	1.13395			0.0614071
$342$	18.8086	−	14.8131i	1.01705	−	0.801003i
$343$			14.8757i			0.803210i
$344$	5.75369	−	5.36243i	0.310218	−	0.289123i
$345$	−6.63559	+	2.67388i	−0.357248	+	0.143957i
$346$	24.3721	+	2.42061i	1.31025	+	0.130133i
$347$	5.55078	−	3.20475i	0.297982	−	0.172040i	−0.343554	−	0.939133i	$-0.611631\pi$
$347$	5.55078	−	3.20475i	0.297982	−	0.172040i	0.641536	+	0.767093i	$0.278298\pi$
$348$	4.07957	−	11.5869i	0.218688	−	0.621121i
$349$	17.5635	+	10.1403i	0.940153	+	0.542797i	0.890008	−	0.455945i	$-0.150698\pi$
$349$	17.5635	+	10.1403i	0.940153	+	0.542797i	0.0501445	+	0.998742i	$0.484032\pi$
$350$	−1.35551	−	0.973023i	−0.0724548	−	0.0520103i
$351$	−0.380129	−	3.71500i	−0.0202898	−	0.198292i
$352$	−9.57219	+	0.274115i	−0.510200	+	0.0146104i
$353$	10.1091	+	5.83648i	0.538052	+	0.310645i	0.744289	−	0.667858i	$-0.232788\pi$
$353$	10.1091	+	5.83648i	0.538052	+	0.310645i	−0.206237	+	0.978502i	$0.566122\pi$
$354$	−4.84977	−	16.6113i	−0.257762	−	0.882879i
$355$	5.06054	+	8.76512i	0.268586	+	0.465204i
$356$	−7.46078	−	6.56458i	−0.395420	−	0.347922i
$357$	7.68669	−	3.09742i	0.406823	−	0.163933i
$358$	6.43076	−	2.90739i	0.339876	−	0.153660i
$359$	−6.88907			−0.363591			−0.181796	−	0.983336i	$-0.558191\pi$
$359$	−6.88907			−0.363591			−0.181796	+	0.983336i	$0.558191\pi$
$360$	−7.56856	+	3.83627i	−0.398898	+	0.202189i
$361$	12.8441			0.676007
$362$	−26.6737	+	12.0594i	−1.40194	+	0.633827i
$363$	1.97361	−	13.9501i	0.103588	−	0.732192i
$364$	−1.12028	+	1.27322i	−0.0587184	+	0.0667346i
$365$	−3.79688	−	6.57639i	−0.198738	−	0.344224i
$366$	−4.55928	+	4.76694i	−0.238318	+	0.249172i
$367$	−30.5870	−	17.6594i	−1.59663	−	0.921812i	−0.992131	−	0.125203i	$-0.960042\pi$
$367$	−30.5870	−	17.6594i	−1.59663	−	0.921812i	−0.604495	−	0.796609i	$-0.706625\pi$
$368$	13.1404	−	10.0147i	0.684989	−	0.522053i
$369$	2.26574	+	2.35487i	0.117950	+	0.122590i
$370$	−12.9822	−	9.31902i	−0.674913	−	0.484473i
$371$	9.35321	+	5.40008i	0.485594	+	0.280358i
$372$	−1.76175	+	1.51020i	−0.0913427	+	0.0783001i
$373$	−17.8589	+	10.3108i	−0.924699	+	0.533875i	−0.885131	−	0.465342i	$-0.845932\pi$
$373$	−17.8589	+	10.3108i	−0.924699	+	0.533875i	−0.0395680	+	0.999217i	$0.512598\pi$
$374$	9.66090	+	0.959507i	0.499553	+	0.0496149i
$375$	−1.36390	−	1.06761i	−0.0704313	−	0.0551311i
$376$	11.0240	−	10.2743i	0.568518	−	0.529858i
$377$		−	2.54853i		−	0.131256i
$378$	−7.52148	−	4.31276i	−0.386863	−	0.221824i
$379$	9.47680			0.486791			0.243395	−	0.969927i	$-0.421739\pi$
$379$	9.47680			0.486791			0.243395	+	0.969927i	$0.421739\pi$
$380$	−11.0656	−	2.21995i	−0.567655	−	0.113881i
$381$	0.314439	−	0.401704i	0.0161092	−	0.0205799i
$382$	−27.0743	−	2.68899i	−1.38524	−	0.137580i
$383$	13.6393	+	23.6240i	0.696938	+	1.20713i	0.969523	+	0.245000i	$0.0787879\pi$
$383$	13.6393	+	23.6240i	0.696938	+	1.20713i	−0.272585	+	0.962132i	$0.587879\pi$
$384$	14.5067	−	13.1741i	0.740290	−	0.672288i
$385$	0.998659	−	1.72973i	0.0508964	−	0.0881551i
$386$	−17.6391	+	24.5728i	−0.897808	+	1.25072i
$387$	8.01485	+	2.31414i	0.407418	+	0.117635i
$388$	−1.10408	−	3.27010i	−0.0560511	−	0.166014i
$389$	6.12156	−	10.6029i	0.310375	−	0.537586i	−0.668068	−	0.744100i	$-0.732879\pi$
$389$	6.12156	−	10.6029i	0.310375	−	0.537586i	0.978444	+	0.206514i	$0.0662119\pi$
$390$	−1.21678	+	1.27220i	−0.0616142	+	0.0644204i
$391$	−14.5058	+	8.37494i	−0.733591	+	0.423539i
$392$	−3.56381	−	15.4560i	−0.180000	−	0.780648i
$393$	29.2188	+	4.13378i	1.47390	+	0.208521i
$394$	−11.0314	−	24.3999i	−0.555753	−	1.22925i
$395$			13.0785i			0.658051i
$396$	−5.46498	−	8.56147i	−0.274626	−	0.430230i
$397$			3.50428i			0.175875i	0.996126	+	0.0879373i	$0.0280275\pi$
$397$			3.50428i			0.175875i	−0.996126	+	0.0879373i	$0.971972\pi$
$398$	31.1916	−	14.1020i	1.56350	−	0.706867i
$399$	−4.31019	−	10.6963i	−0.215779	−	0.535486i
$400$	3.69048	+	1.54284i	0.184524	+	0.0771418i
$401$	−34.5002	+	19.9187i	−1.72286	+	0.994691i	−0.809975	+	0.586465i	$0.800519\pi$
$401$	−34.5002	+	19.9187i	−1.72286	+	0.994691i	−0.912881	+	0.408226i	$0.866148\pi$
$402$	−36.4401	+	10.6389i	−1.81747	+	0.530621i
$403$	−0.240708	+	0.416918i	−0.0119905	+	0.0207682i
$404$	−8.20739	−	24.3090i	−0.408333	−	1.20942i
$405$	−7.61488	−	4.79725i	−0.378387	−	0.238377i
$406$	−4.80676	−	3.45044i	−0.238555	−	0.171242i
$407$	9.56455	−	16.5663i	0.474097	−	0.821160i
$408$	−16.2874	+	11.3756i	−0.806347	+	0.563177i
$409$	12.4218	+	21.5152i	0.614219	+	1.06386i	0.990521	+	0.137362i	$0.0438624\pi$
$409$	12.4218	+	21.5152i	0.614219	+	1.06386i	−0.376301	+	0.926497i	$0.622804\pi$
$410$	0.152250	−	1.53295i	0.00751911	−	0.0757069i
$411$	8.58416	+	21.3028i	0.423426	+	1.05079i
$412$	1.84927	−	9.21794i	0.0911069	−	0.454135i
$413$	−8.33533			−0.410155
$414$	16.2732	+	6.50127i	0.799785	+	0.319520i
$415$		−	13.8777i		−	0.681229i
$416$	1.93113	−	3.57757i	0.0946817	−	0.175405i
$417$	2.88747	−	20.4096i	0.141400	−	0.999462i
$418$	1.33519	−	13.4435i	0.0653063	−	0.657544i
$419$	−1.15450	+	0.666549i	−0.0564009	+	0.0325631i	−0.527935	−	0.849285i	$-0.677034\pi$
$419$	−1.15450	+	0.666549i	−0.0564009	+	0.0325631i	0.471534	+	0.881848i	$0.343700\pi$
$420$	0.752091	+	4.01738i	0.0366983	+	0.196028i
$421$	5.60932	+	3.23854i	0.273381	+	0.157837i	0.630423	−	0.776252i	$-0.282881\pi$
$421$	5.60932	+	3.23854i	0.273381	+	0.157837i	−0.357042	+	0.934088i	$0.616215\pi$
$422$	15.2688	−	21.2707i	0.743271	−	1.03544i
$423$	15.3563	+	4.43386i	0.746650	+	0.215582i
$424$	−24.7572	−	7.57652i	−1.20232	−	0.367948i
$425$	−3.51196	−	2.02763i	−0.170355	−	0.0983547i
$426$	5.88187	−	24.0836i	0.284977	−	1.16686i
$427$	1.58864	+	2.75160i	0.0768797	+	0.133159i
$428$	15.6014	+	13.7273i	0.754122	+	0.663536i
$429$	−1.65934	−	1.29887i	−0.0801136	−	0.0627100i
$430$	−1.62007	−	3.58337i	−0.0781265	−	0.172805i
$431$	−16.0064			−0.771000			−0.385500	−	0.922708i	$-0.625971\pi$
$431$	−16.0064			−0.771000			−0.385500	+	0.922708i	$0.625971\pi$
$432$	19.8927	+	6.02319i	0.957090	+	0.289791i
$433$	17.9579			0.863003			0.431501	−	0.902112i	$-0.357984\pi$
$433$	17.9579			0.863003			0.431501	+	0.902112i	$0.357984\pi$
$434$	0.460452	+	1.01846i	0.0221024	+	0.0488876i
$435$	−4.83651	−	3.78585i	−0.231893	−	0.181518i
$436$	−18.0308	−	15.8649i	−0.863519	−	0.759792i
$437$	11.6541	+	20.1854i	0.557489	+	0.965600i
$438$	−4.41311	+	18.0697i	−0.210867	+	0.863405i
$439$	7.75341	+	4.47643i	0.370050	+	0.213648i	0.673480	−	0.739205i	$-0.264799\pi$
$439$	7.75341	+	4.47643i	0.370050	+	0.213648i	−0.303430	+	0.952854i	$0.598132\pi$
$440$	−1.40116	+	4.57846i	−0.0667975	+	0.218269i
$441$	12.1234	−	11.6645i	0.577305	−	0.555454i
$442$	−2.40353	+	3.34832i	−0.114324	+	0.159263i
$443$	−30.8234	−	17.7959i	−1.46447	−	0.845509i	−0.465252	−	0.885178i	$-0.654036\pi$
$443$	−30.8234	−	17.7959i	−1.46447	−	0.845509i	−0.999213	+	0.0396689i	$0.987370\pi$
$444$	7.20308	+	38.4761i	0.341843	+	1.82599i
$445$	−4.30313	+	2.48441i	−0.203988	+	0.117772i
$446$	−1.66605	+	16.7748i	−0.0788899	+	0.794311i
$447$	4.46350	−	31.5494i	0.211116	−	1.49224i
$448$	−4.13307	−	8.48594i	−0.195269	−	0.400923i
$449$			7.62925i			0.360047i	0.983662	+	0.180023i	$0.0576173\pi$
$449$			7.62925i			0.360047i	−0.983662	+	0.180023i	$0.942383\pi$
$450$	0.606805	+	4.19902i	0.0286051	+	0.197944i
$451$	1.84399			0.0868301
$452$	−2.36462	+	11.7868i	−0.111222	+	0.554403i
$453$	0.226081	+	0.561051i	0.0106222	+	0.0263605i
$454$	−1.50779	+	15.1813i	−0.0707640	+	0.712495i
$455$	0.423977	+	0.734349i	0.0198763	+	0.0344268i
$456$	15.8296	+	22.6646i	0.741290	+	1.06137i
$457$	−15.0212	+	26.0174i	−0.702660	+	1.21704i	0.264869	+	0.964284i	$0.414671\pi$
$457$	−15.0212	+	26.0174i	−0.702660	+	1.21704i	−0.967529	+	0.252759i	$0.918662\pi$
$458$	−30.1901	−	21.6714i	−1.41069	−	1.01264i
$459$	−19.2264	−	8.62361i	−0.897410	−	0.402516i
$460$	−2.64253	−	7.82675i	−0.123209	−	0.364924i
$461$	−16.1809	+	28.0261i	−0.753618	+	1.30531i	0.192440	+	0.981309i	$0.438360\pi$
$461$	−16.1809	+	28.0261i	−0.753618	+	1.30531i	−0.946058	+	0.323997i	$0.894973\pi$
$462$	−4.69635	+	1.37113i	−0.218494	+	0.0637907i
$463$	13.9061	−	8.02871i	0.646273	−	0.373126i	−0.140754	−	0.990045i	$-0.544953\pi$
$463$	13.9061	−	8.02871i	0.646273	−	0.373126i	0.787027	+	0.616919i	$0.211619\pi$
$464$	13.0868	+	5.47105i	0.607541	+	0.253987i
$465$	0.433640	+	1.07614i	0.0201096	+	0.0499047i
$466$	12.3142	−	5.56736i	0.570446	−	0.257903i
$467$		−	14.7880i		−	0.684308i	−0.939644	−	0.342154i	$-0.888844\pi$
$467$		−	14.7880i		−	0.684308i	0.939644	−	0.342154i	$-0.111156\pi$
$468$	4.30784	−	0.191927i	0.199130	−	0.00887182i
$469$			18.2852i			0.844332i
$470$	−3.10402	−	6.86567i	−0.143178	−	0.316690i
$471$	36.9383	+	5.22589i	1.70203	+	0.240797i
$472$	19.4709	−	4.48956i	0.896222	−	0.206649i
$473$	4.07668	−	2.35367i	0.187446	−	0.108222i
$474$	22.1428	−	23.1513i	1.01705	−	1.06337i
$475$	−2.82153	+	4.88703i	−0.129461	+	0.224232i
$476$	3.06111	+	9.06653i	0.140306	+	0.415564i
$477$	−6.59456	−	26.6576i	−0.301944	−	1.22057i
$478$	−19.1969	+	26.7429i	−0.878046	+	1.22319i
$479$	13.3061	−	23.0468i	0.607969	−	1.05303i	−0.383606	−	0.923497i	$-0.625318\pi$
$479$	13.3061	−	23.0468i	0.607969	−	1.05303i	0.991575	−	0.129536i	$-0.0413489\pi$
$480$	−3.92068	−	8.97932i	−0.178954	−	0.409848i
$481$	4.06059	+	7.03315i	0.185147	+	0.320684i
$482$	9.50520	+	0.944044i	0.432950	+	0.0430000i
$483$	5.20280	−	6.64671i	0.236736	−	0.302436i
$484$	15.9508	+	3.19999i	0.725037	+	0.145454i
$485$	−1.72573			−0.0783614
$486$	5.35763	+	21.3845i	0.243027	+	0.970020i
$487$			27.0627i			1.22633i	0.789956	+	0.613164i	$0.210104\pi$
$487$			27.0627i			1.22633i	−0.789956	+	0.613164i	$0.789896\pi$
$488$	−5.19305	−	5.57195i	−0.235078	−	0.252230i
$489$	9.97465	+	7.80779i	0.451069	+	0.353081i
$490$	−7.89196	−	0.783819i	−0.356523	−	0.0354093i
$491$	−20.3680	+	11.7595i	−0.919194	+	0.530697i	−0.883378	−	0.468661i	$-0.844737\pi$
$491$	−20.3680	+	11.7595i	−0.919194	+	0.530697i	−0.0358165	+	0.999358i	$0.511403\pi$
$492$	−2.86489	+	2.45582i	−0.129159	+	0.110717i
$493$	−12.4538	−	7.19019i	−0.560890	−	0.323830i
$494$	4.65932	+	3.34460i	0.209633	+	0.150481i
$495$	−4.92990	+	1.21956i	−0.221582	+	0.0548151i
$496$	−1.62415	−	2.13106i	−0.0729267	−	0.0956875i
$497$	−10.3417	−	5.97076i	−0.463887	−	0.267825i
$498$	−23.4958	+	24.5660i	−1.05287	+	1.10083i
$499$	−3.21984	−	5.57692i	−0.144140	−	0.249657i	0.784912	−	0.619607i	$-0.212708\pi$
$499$	−3.21984	−	5.57692i	−0.144140	−	0.249657i	−0.929052	+	0.369950i	$0.879375\pi$
$500$	1.32115	−	1.50152i	0.0590838	−	0.0671499i
$501$	−3.42079	+	24.1793i	−0.152830	+	1.08025i
$502$	11.0024	−	4.97426i	0.491061	−	0.222012i
$503$	−15.9851			−0.712738			−0.356369	−	0.934345i	$-0.615985\pi$
$503$	−15.9851			−0.712738			−0.356369	+	0.934345i	$0.615985\pi$
$504$	5.47036	−	8.38482i	0.243669	−	0.373489i
$505$	−12.8286			−0.570863
$506$	9.01024	−	4.07359i	0.400554	−	0.181093i
$507$	−20.0550	+	8.08137i	−0.890675	+	0.358906i
$508$	0.442237	+	0.389115i	0.0196211	+	0.0172642i
$509$	−21.0256	−	36.4174i	−0.931944	−	1.61417i	−0.779994	−	0.625787i	$-0.784778\pi$
$509$	−21.0256	−	36.4174i	−0.931944	−	1.61417i	−0.151950	−	0.988388i	$-0.548555\pi$
$510$	2.78388	+	9.53526i	0.123272	+	0.422228i
$511$	7.75925	+	4.47981i	0.343249	+	0.198175i
$512$	14.2253	+	17.5966i	0.628677	+	0.777667i
$513$	−12.0001	+	26.7542i	−0.529817	+	1.18123i
$514$	9.63172	+	6.91394i	0.424837	+	0.304961i
$515$	−4.07102	−	2.35040i	−0.179390	−	0.103571i
$516$	−3.19908	+	9.08608i	−0.140832	+	0.399992i
$517$	7.81086	−	4.50960i	0.343521	−	0.198332i
$518$	18.7627	+	1.86349i	0.824387	+	0.0818770i
$519$	−27.8226	+	11.2114i	−1.22128	+	0.492125i
$520$	−1.38592	−	1.48704i	−0.0607767	−	0.0652111i
$521$		−	26.0924i		−	1.14313i	−0.820558	−	0.571563i	$-0.806337\pi$
$521$		−	26.0924i		−	1.14313i	0.820558	−	0.571563i	$-0.193663\pi$
$522$	2.15179	+	14.8902i	0.0941814	+	0.651725i
$523$	29.9530			1.30975			0.654876	−	0.755737i	$-0.272721\pi$
$523$	29.9530			1.30975			0.654876	+	0.755737i	$0.272721\pi$
$524$	−6.70245	+	33.4093i	−0.292798	+	1.45949i
$525$	2.02344	+	0.286269i	0.0883101	+	0.0124938i
$526$	33.5956	+	3.33667i	1.46484	+	0.145486i
$527$	1.35822	+	2.35251i	0.0591650	+	0.102477i
$528$	10.2319	−	5.73243i	0.445287	−	0.249472i
$529$	2.96988	−	5.14398i	0.129125	−	0.223651i
$530$	−7.54897	+	10.5164i	−0.327906	+	0.456802i
$531$	14.6945	+	15.2726i	0.637688	+	0.662775i
$532$	12.6164	−	4.25966i	0.546991	−	0.184680i
$533$	−0.391429	+	0.677975i	−0.0169547	+	0.0293664i
$534$	11.8236	+	2.88763i	0.511656	+	0.124960i
$535$	8.99837	−	5.19521i	0.389033	−	0.224608i
$536$	−9.84873	−	42.7133i	−0.425400	−	1.84493i
$537$	−5.32776	+	6.80634i	−0.229910	+	0.293715i
$538$	−1.23408	−	2.72961i	−0.0532049	−	0.117682i
$539$		−	9.49327i		−	0.408904i
$540$	6.03507	−	8.46037i	0.259708	−	0.364076i
$541$			1.81980i			0.0782393i	0.999235	+	0.0391196i	$0.0124553\pi$
$541$			1.81980i			0.0782393i	−0.999235	+	0.0391196i	$0.987545\pi$
$542$	−4.47350	+	2.02250i	−0.192153	+	0.0868739i
$543$	22.0987	−	28.2316i	0.948345	−	1.21153i
$544$	−12.0340	−	19.5302i	−0.515954	−	0.837350i
$545$	−10.3996	+	6.00420i	−0.445469	+	0.257191i
$546$	0.492788	−	2.01775i	0.0210894	−	0.0863516i
$547$	6.93203	−	12.0066i	0.296392	−	0.513367i	−0.678915	−	0.734216i	$-0.737550\pi$
$547$	6.93203	−	12.0066i	0.296392	−	0.513367i	0.975308	+	0.220850i	$0.0708831\pi$
$548$	−25.1269	+	8.48353i	−1.07337	+	0.362398i
$549$	2.24105	−	7.76169i	0.0956456	−	0.331261i
$550$	1.94484	+	1.39606i	0.0829281	+	0.0595283i
$551$	−10.0054	+	17.3299i	−0.426246	+	0.738279i
$552$	−8.57346	+	18.3287i	−0.364911	+	0.780122i
$553$	−7.71544	−	13.3635i	−0.328094	−	0.568275i
$554$	−2.49674	+	25.1387i	−0.106076	+	1.06804i
$555$	19.3793	+	2.74171i	0.822604	+	0.116379i
$556$	23.3367	+	4.68171i	0.989695	+	0.198549i
$557$	−13.1558			−0.557428			−0.278714	−	0.960374i	$-0.589908\pi$
$557$	−13.1558			−0.557428			−0.278714	+	0.960374i	$0.589908\pi$
$558$	1.05435	−	2.63914i	0.0446344	−	0.111724i
$559$			1.99849i			0.0845270i
$560$	−4.68108	+	0.600677i	−0.197812	+	0.0253832i
$561$	−11.0286	+	4.44409i	−0.465629	+	0.187630i
$562$	−1.00052	+	10.0738i	−0.0422042	+	0.424938i
$563$	−28.3026	+	16.3405i	−1.19281	+	0.688671i	−0.958943	−	0.283598i	$-0.908472\pi$
$563$	−28.3026	+	16.3405i	−1.19281	+	0.688671i	−0.233869	+	0.972268i	$0.575139\pi$
$564$	−6.12938	+	17.4088i	−0.258093	+	0.733041i
$565$	5.20551	+	3.00540i	0.218998	+	0.126438i
$566$	12.2187	−	17.0218i	0.513592	−	0.715478i
$567$	10.6109	+	0.409527i	0.445616	+	0.0171985i
$568$	27.3736	+	8.37721i	1.14857	+	0.351500i
$569$	13.9164	+	8.03462i	0.583404	+	0.336829i	0.762485	−	0.647006i	$-0.223979\pi$
$569$	13.9164	+	8.03462i	0.583404	+	0.336829i	−0.179081	+	0.983834i	$0.557312\pi$
$570$	13.2687	−	3.87388i	0.555764	−	0.162259i
$571$	−20.1991	−	34.9859i	−0.845308	−	1.46412i	−0.885354	−	0.464918i	$-0.846084\pi$
$571$	−20.1991	−	34.9859i	−0.845308	−	1.46412i	0.0400464	−	0.999198i	$-0.487249\pi$
$572$	1.60734	−	1.82677i	0.0672061	−	0.0763811i
$573$	30.9073	−	12.4544i	1.29117	−	0.520290i
$574$	0.748768	+	1.65617i	0.0312530	+	0.0691274i
$575$	−4.13040			−0.172250
$576$	−8.26229	+	22.5330i	−0.344262	+	0.938874i
$577$	38.7400			1.61277			0.806384	−	0.591392i	$-0.201421\pi$
$577$	38.7400			1.61277			0.806384	+	0.591392i	$0.201421\pi$
$578$	−0.323235	−	0.714951i	−0.0134448	−	0.0297381i
$579$	5.18953	−	36.6812i	0.215670	−	1.52442i
$580$	4.68495	−	5.32453i	0.194532	−	0.221089i
$581$	8.18691	+	14.1801i	0.339650	+	0.588291i
$582$	3.05485	+	2.92178i	0.126627	+	0.121111i
$583$	−13.4197	−	7.74786i	−0.555787	−	0.320884i
$584$	−20.5381	−	6.28534i	−0.849875	−	0.260089i
$585$	0.598091	−	2.07144i	0.0247280	−	0.0856436i
$586$	3.53282	−	4.92153i	0.145940	−	0.203307i
$587$	11.1211	+	6.42078i	0.459018	+	0.265014i	0.711631	−	0.702553i	$-0.247957\pi$
$587$	11.1211	+	6.42078i	0.459018	+	0.265014i	−0.252613	+	0.967567i	$0.581290\pi$
$588$	12.6431	+	14.7491i	0.521393	+	0.608243i
$589$	3.27361	−	1.89002i	0.134887	−	0.0778768i
$590$	0.987425	−	9.94199i	0.0406517	−	0.409305i
$591$	25.8250	+	20.2149i	1.06230	+	0.831529i
$592$	−44.8326	+	5.75292i	−1.84261	+	0.236444i
$593$		−	35.8596i		−	1.47258i	−0.676668	−	0.736288i	$-0.736577\pi$
$593$		−	35.8596i		−	1.47258i	0.676668	−	0.736288i	$-0.263423\pi$
$594$	10.7916	+	6.18781i	0.442784	+	0.253889i
$595$	4.78467			0.196152
$596$	36.0741	+	7.23706i	1.47765	+	0.296441i
$597$	−25.8417	+	33.0134i	−1.05763	+	1.35115i
$598$	−0.414902	+	4.17749i	−0.0169666	+	0.170830i
$599$	0.760967	+	1.31803i	0.0310923	+	0.0538534i	0.881153	−	0.472832i	$-0.156768\pi$
$599$	0.760967	+	1.31803i	0.0310923	+	0.0538534i	−0.850061	+	0.526685i	$0.823435\pi$
$600$	−4.88084	+	0.421150i	−0.199260	+	0.0171934i
$601$	13.4622	−	23.3172i	0.549135	−	0.951130i	−0.449199	−	0.893432i	$-0.648291\pi$
$601$	13.4622	−	23.3172i	0.549135	−	0.951130i	0.998334	−	0.0576983i	$-0.0183761\pi$
$602$	3.76932	+	2.70573i	0.153626	+	0.110277i
$603$	33.5035	−	32.2354i	1.36437	−	1.31273i
$604$	−0.661765	+	0.223430i	−0.0269268	+	0.00909125i
$605$	4.06716	−	7.04452i	0.165353	−	0.286400i
$606$	22.7088	+	21.7196i	0.922482	+	0.882298i
$607$	10.9753	−	6.33658i	0.445473	−	0.257194i	−0.260444	−	0.965489i	$-0.583869\pi$
$607$	10.9753	−	6.33658i	0.445473	−	0.257194i	0.705916	+	0.708295i	$0.250535\pi$
$608$	−27.1770	+	16.7458i	−1.10217	+	0.679131i
$609$	7.17532	+	1.01514i	0.290759	+	0.0411355i
$610$	−3.47018	+	1.56889i	−0.140504	+	0.0635226i
$611$			3.82906i			0.154907i
$612$	11.2159	−	21.5924i	0.453374	−	0.872820i
$613$		−	22.4783i		−	0.907890i	−0.891030	−	0.453945i	$-0.850016\pi$
$613$		−	22.4783i		−	0.907890i	0.891030	−	0.453945i	$-0.149984\pi$
$614$	−3.91811	−	8.66634i	−0.158122	−	0.349745i
$615$	0.705168	+	1.74997i	0.0284351	+	0.0705657i
$616$	−1.26929	−	5.50483i	−0.0511411	−	0.221796i
$617$	−35.8335	+	20.6885i	−1.44260	+	0.832886i	−0.998023	−	0.0628537i	$-0.979980\pi$
$617$	−35.8335	+	20.6885i	−1.44260	+	0.832886i	−0.444578	+	0.895740i	$0.646647\pi$
$618$	3.22703	+	11.0531i	0.129810	+	0.444622i
$619$	−5.75193	+	9.96263i	−0.231190	+	0.400432i	−0.958158	−	0.286238i	$-0.907595\pi$
$619$	−5.75193	+	9.96263i	−0.231190	+	0.400432i	0.726969	+	0.686670i	$0.240928\pi$
$620$	−1.26932	+	0.428557i	−0.0509770	+	0.0172113i
$621$	−21.3507	+	2.18466i	−0.856775	+	0.0876676i
$622$	−2.13126	+	2.96902i	−0.0854556	+	0.119047i
$623$	2.93127	−	5.07712i	0.117439	−	0.203410i
$624$	−0.0643340	+	4.97879i	−0.00257542	+	0.199311i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−9.81077	−	0.974392i	−0.392117	−	0.0389445i
$627$	6.18412	+	15.3467i	0.246970	+	0.612890i
$628$	−8.47320	+	42.2359i	−0.338117	+	1.68539i
$629$	45.8247			1.82715
$630$	−3.09717	−	3.93256i	−0.123394	−	0.156677i
$631$		−	3.70901i		−	0.147654i	−0.997271	−	0.0738268i	$-0.976479\pi$
$631$		−	3.70901i		−	0.147654i	0.997271	−	0.0738268i	$-0.0235212\pi$
$632$	25.2207	+	27.0609i	1.00323	+	1.07643i
$633$	−4.49215	+	31.7520i	−0.178547	+	1.26203i
$634$	2.36691	+	0.235078i	0.0940020	+	0.00933615i
$635$	0.255068	−	0.147263i	0.0101221	−	0.00584397i
$636$	31.1679	−	5.83492i	1.23589	−	0.231370i
$637$	3.49037	+	2.01517i	0.138293	+	0.0798438i
$638$	6.89659	+	4.95058i	0.273038	+	0.195995i
$639$	7.29147	+	29.4748i	0.288446	+	1.16600i
$640$	10.6112	−	3.92447i	0.419446	−	0.155128i
$641$	−14.6920	−	8.48244i	−0.580300	−	0.335036i	0.180953	−	0.983492i	$-0.442082\pi$
$641$	−14.6920	−	8.48244i	−0.580300	−	0.335036i	−0.761252	+	0.648456i	$0.775415\pi$
$642$	−24.7245	−	6.03839i	−0.975799	−	0.238316i
$643$	12.0107	+	20.8032i	0.473657	+	0.820398i	0.999545	−	0.0301558i	$-0.00960033\pi$
$643$	12.0107	+	20.8032i	0.473657	+	0.820398i	−0.525888	+	0.850554i	$0.676267\pi$
$644$	7.31738	+	6.43841i	0.288345	+	0.253709i
$645$	3.79265	+	2.96875i	0.149336	+	0.116895i
$646$	29.4892	−	13.3323i	1.16024	−	0.524552i
$647$	−31.1081			−1.22299			−0.611493	−	0.791250i	$-0.709431\pi$
$647$	−31.1081			−1.22299			−0.611493	+	0.791250i	$0.709431\pi$
$648$	−25.0071	+	4.75858i	−0.982372	+	0.186935i
$649$	11.9593			0.469442
$650$	−0.926123	+	0.418707i	−0.0363255	+	0.0164230i
$651$	−1.07794	−	0.843773i	−0.0422478	−	0.0330701i
$652$	−9.66206	+	10.9811i	−0.378395	+	0.430054i
$653$	−24.2158	−	41.9430i	−0.947638	−	1.64136i	−0.750381	−	0.661005i	$-0.770130\pi$
$653$	−24.2158	−	41.9430i	−0.947638	−	1.64136i	−0.197257	−	0.980352i	$-0.563203\pi$
$654$	28.5746	+	6.97868i	1.11735	+	0.272888i
$655$	14.7549	+	8.51875i	0.576522	+	0.332855i
$656$	−2.64113	−	3.46544i	−0.103119	−	0.135303i
$657$	−5.47073	−	22.1146i	−0.213433	−	0.862774i
$658$	7.22195	+	5.18414i	0.281541	+	0.202099i
$659$	−14.3198	−	8.26752i	−0.557819	−	0.322057i	0.194451	−	0.980912i	$-0.437708\pi$
$659$	−14.3198	−	8.26752i	−0.557819	−	0.322057i	−0.752270	+	0.658855i	$0.771041\pi$
$660$	−1.07908	−	5.76401i	−0.0420030	−	0.224364i
$661$	−19.9686	+	11.5289i	−0.776687	+	0.448420i	−0.835255	−	0.549863i	$-0.814680\pi$
$661$	−19.9686	+	11.5289i	−0.776687	+	0.448420i	0.0585680	+	0.998283i	$0.481347\pi$
$662$	3.64525	+	0.362041i	0.141677	+	0.0140711i
$663$	0.707131	−	4.99822i	0.0274627	−	0.194115i
$664$	−26.7619	−	28.7145i	−1.03856	−	1.11434i
$665$		−	6.65805i		−	0.258188i
$666$	−29.6628	−	37.6637i	−1.14941	−	1.45944i
$667$	−14.6468			−0.567128
$668$	−27.6470	−	5.54643i	−1.06969	−	0.214598i
$669$	−7.71655	−	19.1497i	−0.298339	−	0.740370i
$670$	−21.8097	−	2.16611i	−0.842583	−	0.0836842i
$671$	−2.27933	−	3.94791i	−0.0879926	−	0.152408i
$672$	9.30333	+	6.86208i	0.358884	+	0.264710i
$673$	−14.6629	+	25.3969i	−0.565213	+	0.978977i	0.431817	+	0.901961i	$0.357873\pi$
$673$	−14.6629	+	25.3969i	−0.565213	+	0.978977i	−0.997030	+	0.0770158i	$0.975461\pi$
$674$	9.63483	−	13.4222i	0.371120	−	0.517002i
$675$	−3.04264	−	4.21216i	−0.117111	−	0.162126i
$676$	−7.98663	−	23.6551i	−0.307178	−	0.909812i
$677$	3.94679	−	6.83604i	0.151687	−	0.262730i	−0.780161	−	0.625579i	$-0.784863\pi$
$677$	3.94679	−	6.83604i	0.151687	−	0.262730i	0.931848	+	0.362849i	$0.118196\pi$
$678$	−4.12633	−	14.1334i	−0.158471	−	0.542789i
$679$	1.76334	−	1.01806i	0.0676708	−	0.0390697i
$680$	−11.1768	+	2.57711i	−0.428609	+	0.0988276i
$681$	−6.98353	−	17.3306i	−0.267609	−	0.664110i
$682$	−0.660642	−	1.46125i	−0.0252973	−	0.0559542i
$683$			0.634665i			0.0242848i	0.999926	+	0.0121424i	$0.00386514\pi$
$683$			0.634665i			0.0242848i	−0.999926	+	0.0121424i	$0.996135\pi$
$684$	−30.0466	−	15.6073i	−1.14886	−	0.596760i
$685$			13.2602i			0.506645i
$686$	19.1693	−	8.66656i	0.731886	−	0.330891i
$687$	45.0664	+	6.37584i	1.71939	+	0.243253i
$688$	−10.2623	−	4.29024i	−0.391247	−	0.163564i
$689$	5.69727	−	3.28932i	0.217049	−	0.125313i
$690$	7.31155	+	6.99305i	0.278346	+	0.266221i
$691$	16.0251	−	27.7562i	0.609622	−	1.05590i	−0.381681	−	0.924294i	$-0.624655\pi$
$691$	16.0251	−	27.7562i	0.609622	−	1.05590i	0.991303	−	0.131602i	$-0.0420121\pi$
$692$	−11.0799	−	32.8170i	−0.421196	−	1.24752i
$693$	4.31788	−	4.15445i	0.164023	−	0.157814i
$694$	−7.36363	−	5.28584i	−0.279520	−	0.200648i
$695$	5.95041	−	10.3064i	0.225712	−	0.390945i
$696$	−17.3080	+	1.49344i	−0.656057	+	0.0566087i
$697$	2.20868	+	3.82555i	0.0836598	+	0.144903i
$698$	2.83462	−	28.5407i	0.107292	−	1.08028i
$699$	−10.2021	+	13.0335i	−0.385879	+	0.492970i
$700$	−0.464152	+	2.31363i	−0.0175433	+	0.0874471i
$701$	−2.21948			−0.0838288			−0.0419144	−	0.999121i	$-0.513346\pi$
$701$	−2.21948			−0.0838288			−0.0419144	+	0.999121i	$0.513346\pi$
$702$	−4.56582	+	2.65421i	−0.172326	+	0.100177i
$703$		−	63.7668i		−	2.40501i
$704$	5.93000	+	12.1754i	0.223495	+	0.458876i
$705$	7.26666	+	5.68808i	0.273678	+	0.214225i
$706$	1.63153	−	16.4272i	0.0614035	−	0.618247i
$707$	13.1081	−	7.56799i	0.492982	−	0.284623i
$708$	−18.5804	+	15.9273i	−0.698293	+	0.598585i
$709$	−18.5688	−	10.7207i	−0.697364	−	0.402624i	0.109001	−	0.994042i	$-0.465235\pi$
$709$	−18.5688	−	10.7207i	−0.697364	−	0.402624i	−0.806365	+	0.591418i	$0.798568\pi$
$710$	8.34675	−	11.6277i	0.313248	−	0.436382i
$711$	−10.8839	+	37.6957i	−0.408180	+	1.41370i
$712$	−4.11269	+	13.4387i	−0.154130	+	0.503638i
$713$	2.39610	+	1.38339i	0.0897345	+	0.0518082i
$714$	−8.46971	−	8.10077i	−0.316971	−	0.303164i
$715$	−0.608308	−	1.05362i	−0.0227494	−	0.0394032i
$716$	−7.49312	−	6.59304i	−0.280031	−	0.246394i
$717$	5.64783	−	39.9207i	0.210922	−	1.49087i
$718$	4.01358	+	8.87749i	0.149785	+	0.331305i
$719$	11.0608			0.412498			0.206249	−	0.978499i	$-0.433874\pi$
$719$	11.0608			0.412498			0.206249	+	0.978499i	$0.433874\pi$
$720$	9.35299	+	7.51808i	0.348565	+	0.280182i
$721$	5.54632			0.206556
$722$	−7.48299	−	16.5514i	−0.278488	−	0.615978i
$723$	−10.8509	+	4.37247i	−0.403549	+	0.162614i
$724$	31.0802	+	27.3469i	1.15509	+	1.01634i
$725$	−1.77305	−	3.07101i	−0.0658495	−	0.114055i
$726$	−19.1264	+	5.58408i	−0.709848	+	0.207245i
$727$	−15.9631	−	9.21629i	−0.592038	−	0.341813i	0.173865	−	0.984769i	$-0.444374\pi$
$727$	−15.9631	−	9.21629i	−0.592038	−	0.341813i	−0.765903	+	0.642956i	$0.777708\pi$
$728$	2.29338	+	0.701850i	0.0849984	+	0.0260123i
$729$	−17.9558	−	20.1640i	−0.665030	−	0.746816i
$730$	−6.26249	+	8.72419i	−0.231785	+	0.322897i
$731$	9.76589	+	5.63834i	0.361205	+	0.208542i
$732$	8.79908	+	3.09803i	0.325223	+	0.114506i
$733$	−18.9150	+	10.9206i	−0.698641	+	0.403360i	−0.806841	−	0.590769i	$-0.798825\pi$
$733$	−18.9150	+	10.9206i	−0.698641	+	0.403360i	0.108200	+	0.994129i	$0.465491\pi$
$734$	−4.93651	+	49.7037i	−0.182210	+	1.83460i
$735$	9.00925	−	3.63036i	0.332311	−	0.133908i
$736$	−20.5609	−	11.0985i	−0.757884	−	0.409098i
$737$		−	26.2350i		−	0.966379i
$738$	1.71455	−	4.29166i	0.0631133	−	0.157978i
$739$	−17.2982			−0.636326			−0.318163	−	0.948036i	$-0.603066\pi$
$739$	−17.2982			−0.636326			−0.318163	+	0.948036i	$0.603066\pi$
$740$	−4.44537	+	22.1586i	−0.163415	+	0.814565i
$741$	−6.95522	−	0.984000i	−0.255506	−	0.0361481i
$742$	1.50954	−	15.1989i	0.0554169	−	0.557971i
$743$	25.2134	+	43.6709i	0.924990	+	1.60213i	0.791577	+	0.611069i	$0.209260\pi$
$743$	25.2134	+	43.6709i	0.924990	+	1.60213i	0.133413	+	0.991061i	$0.457406\pi$
$744$	2.97249	+	1.39042i	0.108977	+	0.0509751i
$745$	9.19823	−	15.9318i	0.336997	−	0.583696i
$746$	23.6915	+	17.0065i	0.867408	+	0.622652i
$747$	11.5490	−	39.9991i	0.422557	−	1.46349i
$748$	−4.39199	−	13.0084i	−0.160587	−	0.475633i
$749$	−6.12965	+	10.6169i	−0.223973	+	0.387932i
$750$	−0.581150	+	2.37955i	−0.0212206	+	0.0868889i
$751$	−18.9397	+	10.9349i	−0.691120	+	0.399019i	−0.804032	−	0.594587i	$-0.797316\pi$
$751$	−18.9397	+	10.9349i	−0.691120	+	0.399019i	0.112911	+	0.993605i	$0.463982\pi$
$752$	−19.6624	−	8.22003i	−0.717014	−	0.299754i
$753$	−9.11528	+	11.6450i	−0.332179	+	0.424367i
$754$	−3.28413	+	1.48478i	−0.119601	+	0.0540724i
$755$			0.349233i			0.0127099i
$756$	−1.17555	+	12.2050i	−0.0427542	+	0.443893i
$757$			6.81492i			0.247693i	0.992301	+	0.123846i	$0.0395230\pi$
$757$			6.81492i			0.247693i	−0.992301	+	0.123846i	$0.960477\pi$
$758$	−5.52119	−	12.2121i	−0.200539	−	0.443564i
$759$	−7.46481	+	9.53648i	−0.270956	+	0.346152i
$760$	3.58615	+	15.5529i	0.130083	+	0.564163i
$761$	−33.8048	+	19.5172i	−1.22542	+	0.707498i	−0.966069	−	0.258284i	$-0.916843\pi$
$761$	−33.8048	+	19.5172i	−1.22542	+	0.707498i	−0.259354	+	0.965782i	$0.583510\pi$
$762$	−0.700842	−	0.171164i	−0.0253888	−	0.00620063i
$763$	7.08415	−	12.2701i	0.256463	−	0.444207i
$764$	12.3084	+	36.4555i	0.445302	+	1.31891i
$765$	−8.43500	−	8.76683i	−0.304968	−	0.316966i
$766$	22.4964	−	31.3395i	0.812829	−	1.13234i
$767$	−2.53863	+	4.39703i	−0.0916645	+	0.158768i
$768$	−25.4282	−	11.0185i	−0.917560	−	0.397597i
$769$	−3.96893	−	6.87439i	−0.143123	−	0.247897i	0.785548	−	0.618801i	$-0.212381\pi$
$769$	−3.96893	−	6.87439i	−0.143123	−	0.247897i	−0.928671	+	0.370904i	$0.879048\pi$
$770$	−2.81080	−	0.279165i	−0.101294	−	0.0100604i
$771$	−14.3778	−	2.03412i	−0.517804	−	0.0732570i
$772$	41.9420	+	8.41424i	1.50952	+	0.302835i
$773$	54.8377			1.97238			0.986188	−	0.165632i	$-0.0529663\pi$
$773$	54.8377			1.97238			0.986188	+	0.165632i	$0.0529663\pi$
$774$	−1.68737	−	11.6764i	−0.0606514	−	0.419701i
$775$			0.669855i			0.0240619i
$776$	−3.57073	+	3.32792i	−0.128182	+	0.119465i
$777$	−21.4190	+	8.63101i	−0.768404	+	0.309636i
$778$	−17.2296	−	1.71122i	−0.617712	−	0.0613503i
$779$	5.32340	−	3.07347i	0.190731	−	0.110118i
$780$	2.34830	+	0.826803i	0.0840826	+	0.0296043i
$781$	14.8379	+	8.56666i	0.530941	+	0.306539i
$782$	19.2433	+	13.8135i	0.688140	+	0.493968i
$783$	−10.7895	−	14.9368i	−0.385586	−	0.533796i
$784$	−17.8409	+	13.5971i	−0.637175	+	0.485612i
$785$	18.6531	+	10.7693i	0.665756	+	0.384375i
$786$	−11.6960	−	40.0607i	−0.417182	−	1.42892i
$787$	−11.6878	−	20.2439i	−0.416625	−	0.721616i	0.578972	−	0.815347i	$-0.303454\pi$
$787$	−11.6878	−	20.2439i	−0.416625	−	0.721616i	−0.995598	+	0.0937309i	$0.970121\pi$
$788$	−25.0157	+	28.4308i	−0.891147	+	1.01281i
$789$	−38.3518	+	15.4542i	−1.36536	+	0.550185i
$790$	16.8534	−	7.61954i	0.599617	−	0.271091i
$791$	−7.09195			−0.252161
$792$	−7.84870	+	12.0303i	−0.278891	+	0.427477i
$793$	1.93536			0.0687267
$794$	4.51573	−	2.04159i	0.160257	−	0.0724535i
$795$	2.22095	−	15.6984i	0.0787689	−	0.556764i
$796$	−36.3445	−	31.9788i	−1.28820	−	1.13346i
$797$	11.2474	+	19.4810i	0.398403	+	0.690054i	0.993529	−	0.113578i	$-0.0362313\pi$
$797$	11.2474	+	19.4810i	0.398403	+	0.690054i	−0.595126	+	0.803632i	$0.702898\pi$
$798$	−11.2725	+	11.7859i	−0.399043	+	0.417218i
$799$	18.7113	+	10.8030i	0.661958	+	0.382181i
$800$	−0.161926	−	5.65454i	−0.00572497	−	0.199918i
$801$	−14.4703	+	3.57966i	−0.511282	+	0.126481i
$802$	45.7677	+	32.8534i	1.61611	+	1.16010i
$803$	−11.1327	−	6.42749i	−0.392866	−	0.226821i
$804$	34.9397	+	40.7597i	1.23223	+	1.43748i
$805$	4.22042	−	2.43666i	0.148750	−	0.0858810i
$806$	0.677491	+	0.0672875i	0.0238636	+	0.00237010i
$807$	2.88904	+	2.26143i	0.101699	+	0.0796062i
$808$	−26.5437	+	24.7387i	−0.933805	+	0.870306i
$809$		−	10.6019i		−	0.372744i	−0.982479	−	0.186372i	$-0.940327\pi$
$809$		−	10.6019i		−	0.372744i	0.982479	−	0.186372i	$-0.0596730\pi$
$810$	−1.74546	+	12.6077i	−0.0613292	+	0.442988i
$811$	−45.4705			−1.59668			−0.798342	−	0.602204i	$-0.794289\pi$
$811$	−45.4705			−1.59668			−0.798342	+	0.602204i	$0.794289\pi$
$812$	−1.64593	+	8.20438i	−0.0577609	+	0.287917i
$813$	3.70621	−	4.73478i	0.129983	−	0.166056i
$814$	−26.9202	−	2.67368i	−0.943552	−	0.0937123i
$815$	3.65667	+	6.33355i	0.128088	+	0.221854i
$816$	24.1481	+	14.3611i	0.845351	+	0.502738i
$817$	7.84597	−	13.5896i	0.274496	−	0.475441i
$818$	20.4883	−	28.5420i	0.716356	−	0.997946i
$819$	0.610886	+	2.46942i	0.0213461	+	0.0862885i
$820$	−2.06411	+	0.696901i	−0.0720818	+	0.0243368i
$821$	−6.79733	+	11.7733i	−0.237229	+	0.410892i	−0.959918	−	0.280281i	$-0.909572\pi$
$821$	−6.79733	+	11.7733i	−0.237229	+	0.410892i	0.722689	+	0.691173i	$0.242906\pi$
$822$	22.4504	−	23.4729i	0.783046	−	0.818710i
$823$	45.8629	−	26.4790i	1.59868	−	0.922998i	0.606938	−	0.794749i	$-0.292397\pi$
$823$	45.8629	−	26.4790i	1.59868	−	0.922998i	0.991742	−	0.128250i	$-0.0409358\pi$
$824$	−12.9559	+	2.98735i	−0.451341	+	0.104069i
$825$	−2.90316	−	0.410729i	−0.101075	−	0.0142998i
$826$	4.85616	+	10.7412i	0.168968	+	0.373734i
$827$			13.1858i			0.458517i	0.973366	+	0.229258i	$0.0736301\pi$
$827$			13.1858i			0.458517i	−0.973366	+	0.229258i	$0.926370\pi$
$828$	−1.10303	−	24.7579i	−0.0383331	−	0.860395i
$829$			27.6691i			0.960987i	0.876998	+	0.480494i	$0.159542\pi$
$829$			27.6691i			0.960987i	−0.876998	+	0.480494i	$0.840458\pi$
$830$	−17.8833	+	8.08515i	−0.620737	+	0.280640i
$831$	−11.5640	−	28.6977i	−0.401151	−	0.995512i
$832$	−5.73526	−	0.404230i	−0.198834	−	0.0140142i
$833$	19.6948	−	11.3708i	0.682384	−	0.393975i
$834$	−27.9827	+	8.16974i	−0.968963	+	0.282895i
$835$	−7.04946	+	12.2100i	−0.243957	+	0.422545i
$836$	−18.1016	+	6.11162i	−0.626058	+	0.211375i
$837$	0.354302	+	3.46259i	0.0122465	+	0.119685i
$838$	1.53155	+	1.09939i	0.0529065	+	0.0379779i
$839$	−7.30540	+	12.6533i	−0.252210	+	0.436841i	−0.964134	−	0.265416i	$-0.914491\pi$
$839$	−7.30540	+	12.6533i	−0.252210	+	0.436841i	0.711924	+	0.702257i	$0.247824\pi$
$840$	4.73877	−	3.30970i	0.163503	−	0.114195i
$841$	8.21258	+	14.2246i	0.283192	+	0.490504i
$842$	0.905303	−	9.11513i	0.0311988	−	0.314128i
$843$	−4.63403	−	11.5000i	−0.159604	−	0.396080i
$844$	−36.3057	−	7.28352i	−1.24969	−	0.250709i
$845$	−12.4835			−0.429445
$846$	−3.23298	−	22.3718i	−0.111152	−	0.769160i
$847$			9.59740i			0.329770i
$848$	4.66021	+	36.3171i	0.160032	+	1.24713i
$849$	−3.59482	+	25.4093i	−0.123374	+	0.872047i
$850$	−0.566805	+	5.70693i	−0.0194413	+	0.195746i
$851$	40.4206	−	23.3369i	1.38560	−	0.799978i
$852$	−34.4618	+	6.45156i	−1.18064	+	0.221027i
$853$	−11.9267	−	6.88590i	−0.408364	−	0.235769i	0.281723	−	0.959496i	$-0.409094\pi$
$853$	−11.9267	−	6.88590i	−0.408364	−	0.235769i	−0.690086	+	0.723727i	$0.742427\pi$
$854$	2.62027	−	3.65026i	0.0896637	−	0.124909i
$855$	−12.1994	+	11.7376i	−0.417210	+	0.401419i
$856$	8.60013	−	28.1020i	0.293947	−	0.960507i
$857$	23.7045	+	13.6858i	0.809729	+	0.467497i	0.846862	−	0.531813i	$-0.178489\pi$
$857$	23.7045	+	13.6858i	0.809729	+	0.467497i	−0.0371325	+	0.999310i	$0.511822\pi$
$858$	−0.707037	+	2.89500i	−0.0241378	+	0.0988337i
$859$	3.49539	+	6.05420i	0.119261	+	0.206567i	0.919475	−	0.393148i	$-0.128614\pi$
$859$	3.49539	+	6.05420i	0.119261	+	0.206567i	−0.800214	+	0.599715i	$0.795281\pi$
$860$	−3.67380	+	4.17534i	−0.125275	+	0.142378i
$861$	−1.75290	−	1.37211i	−0.0597388	−	0.0467614i
$862$	9.32532	+	20.6263i	0.317622	+	0.702536i
$863$	5.01460			0.170699			0.0853495	−	0.996351i	$-0.472799\pi$
$863$	5.01460			0.170699			0.0853495	+	0.996351i	$0.472799\pi$
$864$	−3.82784	−	29.1436i	−0.130226	−	0.991484i
$865$	−17.3185			−0.588847
$866$	−10.4623	−	23.1412i	−0.355523	−	0.786369i
$867$	0.756708	+	0.592324i	0.0256991	+	0.0201164i
$868$	1.04416	−	1.18671i	0.0354411	−	0.0402795i
$869$	11.0699	+	19.1736i	0.375520	+	0.650419i
$870$	−2.06082	+	8.43813i	−0.0698682	+	0.286079i
$871$	9.64576	+	5.56898i	0.326834	+	0.188698i
$872$	−9.93933	+	32.4780i	−0.336588	+	1.09984i
$873$	−4.97401	−	1.43615i	−0.168345	−	0.0486065i
$874$	19.2220	−	26.7778i	0.650192	−	0.905774i
$875$	1.02179	+	0.589933i	0.0345429	+	0.0199434i
$876$	25.8563	−	4.84055i	0.873605	−	0.163547i
$877$	−44.3620	+	25.6124i	−1.49800	+	0.864870i	−0.999997	−	0.00230558i	$-0.999266\pi$
$877$	−44.3620	+	25.6124i	−1.49800	+	0.864870i	−0.498002	+	0.867176i	$0.665933\pi$
$878$	1.25134	−	12.5993i	0.0422308	−	0.425205i
$879$	−1.03938	+	7.34664i	−0.0350573	+	0.247796i
$880$	6.71627	−	0.861833i	0.226405	−	0.0290524i
$881$			37.2669i			1.25555i	0.778394	+	0.627777i	$0.216035\pi$
$881$			37.2669i			1.25555i	−0.778394	+	0.627777i	$0.783965\pi$
$882$	−22.0944	−	8.82688i	−0.743958	−	0.297216i
$883$	−27.8819			−0.938301			−0.469151	−	0.883118i	$-0.655440\pi$
$883$	−27.8819			−0.938301			−0.469151	+	0.883118i	$0.655440\pi$
$884$	5.71505	+	1.14653i	0.192218	+	0.0385621i
$885$	4.57339	+	11.3495i	0.153733	+	0.381510i
$886$	−4.97467	+	50.0880i	−0.167127	+	1.68274i
$887$	7.74805	+	13.4200i	0.260154	+	0.450600i	0.966283	−	0.257483i	$-0.0828933\pi$
$887$	7.74805	+	13.4200i	0.260154	+	0.450600i	−0.706129	+	0.708084i	$0.749560\pi$
$888$	45.3850	−	31.6983i	1.52302	−	1.06373i
$889$	−0.173751	+	0.300946i	−0.00582742	+	0.0100934i
$890$	5.70850	+	4.09774i	0.191349	+	0.137356i
$891$	−15.2242	−	0.587577i	−0.510029	−	0.0196846i
$892$	22.5873	−	7.62609i	0.756277	−	0.255340i
$893$	15.0327	−	26.0375i	0.503052	−	0.871311i
$894$	−43.2561	+	12.6289i	−1.44670	+	0.422373i
$895$	−4.32179	+	2.49518i	−0.144461	+	0.0834048i
$896$	−8.52733	+	10.2699i	−0.284878	+	0.343094i
$897$	−1.92168	−	4.76891i	−0.0641629	−	0.159229i
$898$	9.83131	−	4.44480i	0.328075	−	0.148325i
$899$			2.37538i			0.0792232i
$900$	5.05748	−	3.22830i	0.168583	−	0.107610i
$901$		−	37.1207i		−	1.23667i
$902$	−1.07431	−	2.37623i	−0.0357706	−	0.0791197i
$903$	−5.62668	−	0.796042i	−0.187244	−	0.0264906i
$904$	16.5665	−	3.81985i	0.550992	−	0.127046i
$905$	17.9261	−	10.3496i	0.595882	−	0.344033i
$906$	0.591274	−	0.618203i	0.0196438	−	0.0205384i
$907$	−2.14332	+	3.71233i	−0.0711676	+	0.123266i	−0.899413	−	0.437099i	$-0.856006\pi$
$907$	−2.14332	+	3.71233i	−0.0711676	+	0.123266i	0.828246	+	0.560365i	$0.189339\pi$
$908$	20.4416	−	6.90166i	0.678378	−	0.229040i
$909$	−36.9753	−	10.6759i	−1.22639	−	0.354099i
$910$	0.699298	−	0.974182i	0.0231815	−	0.0322938i
$911$	3.66147	−	6.34185i	0.121310	−	0.210115i	−0.798975	−	0.601365i	$-0.794624\pi$
$911$	3.66147	−	6.34185i	0.121310	−	0.210115i	0.920284	+	0.391250i	$0.127957\pi$
$912$	19.9840	−	33.6030i	0.661735	−	1.11271i
$913$	−11.7463	−	20.3452i	−0.388746	−	0.673328i
$914$	42.2783	+	4.19902i	1.39844	+	0.138891i
$915$	2.87498	−	3.67286i	0.0950439	−	0.121421i
$916$	−10.3377	+	51.5297i	−0.341567	+	1.70259i
$917$	−20.1020			−0.663825
$918$	0.0886196	+	29.7999i	0.00292488	+	0.983542i
$919$		−	18.3957i		−	0.606818i	−0.952860	−	0.303409i	$-0.901875\pi$
$919$		−	18.3957i		−	0.606818i	0.952860	−	0.303409i	$-0.0981249\pi$
$920$	−8.54627	+	7.96512i	−0.281762	+	0.262602i
$921$	9.17250	+	7.17990i	0.302244	+	0.236586i
$922$	45.5424	+	4.52321i	1.49986	+	0.148964i
$923$	−6.29937	+	3.63694i	−0.207346	+	0.119711i
$924$	4.50298	+	5.25305i	0.148137	+	0.172813i
$925$	9.78612	+	5.65002i	0.321766	+	0.185772i
$926$	−18.4478	−	13.2424i	−0.606232	−	0.435172i
$927$	−9.77773	−	10.1624i	−0.321143	−	0.333776i
$928$	−0.574208	−	20.0516i	−0.0188493	−	0.658225i
$929$	−17.9190	−	10.3455i	−0.587903	−	0.339426i	0.176365	−	0.984325i	$-0.443566\pi$
$929$	−17.9190	−	10.3455i	−0.587903	−	0.339426i	−0.764268	+	0.644899i	$0.776899\pi$
$930$	1.13411	−	1.18576i	0.0371889	−	0.0388827i
$931$	−15.8229	−	27.4061i	−0.518575	−	0.898198i
$932$	−14.3486	−	12.6250i	−0.470003	−	0.413546i
$933$	0.627027	−	4.43203i	0.0205280	−	0.145098i
$934$	−19.0563	+	8.61550i	−0.623542	+	0.281908i
$935$	−6.86489			−0.224506
$936$	−2.75707	−	5.43941i	−0.0901178	−	0.177793i
$937$	−8.59458			−0.280773			−0.140386	−	0.990097i	$-0.544834\pi$
$937$	−8.59458			−0.280773			−0.140386	+	0.990097i	$0.544834\pi$
$938$	23.5629	−	10.6530i	0.769356	−	0.347831i
$939$	11.1997	−	4.51303i	0.365489	−	0.147277i
$940$	−7.03893	+	7.99989i	−0.229585	+	0.260928i
$941$	−7.07610	−	12.2562i	−0.230674	−	0.399540i	0.727332	−	0.686285i	$-0.240760\pi$
$941$	−7.07610	−	12.2562i	−0.230674	−	0.399540i	−0.958007	+	0.286746i	$0.907427\pi$
$942$	−14.7860	−	50.6445i	−0.481754	−	1.65009i
$943$	3.89643	+	2.24961i	0.126885	+	0.0732573i
$944$	−17.1292	−	22.4753i	−0.557507	−	0.731508i
$945$	5.59385	+	2.50901i	0.181968	+	0.0816181i
$946$	−5.40810	−	3.88210i	−0.175833	−	0.126218i
$947$	33.0703	+	19.0932i	1.07464	+	0.620445i	0.929446	−	0.368958i	$-0.120285\pi$
$947$	33.0703	+	19.0932i	1.07464	+	0.620445i	0.145196	+	0.989403i	$0.453619\pi$
$948$	−42.7339	−	15.0460i	−1.38793	−	0.488671i
$949$	4.72636	−	2.72876i	0.153424	−	0.0885794i
$950$	7.94142	+	0.788731i	0.257654	+	0.0255898i
$951$	−2.70200	+	1.08880i	−0.0876183	+	0.0353067i
$952$	9.90003	−	9.22681i	0.320862	−	0.299043i
$953$			1.88922i			0.0611978i	0.999532	+	0.0305989i	$0.00974145\pi$
$953$			1.88922i			0.0611978i	−0.999532	+	0.0305989i	$0.990259\pi$
$954$	−30.5099	+	24.0287i	−0.987793	+	0.777957i
$955$	19.2386			0.622547
$956$	45.6460	+	9.15732i	1.47630	+	0.296169i
$957$	−10.2949	−	1.45649i	−0.332787	−	0.0470816i
$958$	−37.4509	−	3.71958i	−1.20999	−	0.120174i
$959$	−7.82261	−	13.5492i	−0.252605	−	0.437525i
$960$	−9.28687	+	10.2837i	−0.299732	+	0.331904i
$961$	−15.2756	+	26.4582i	−0.492763	+	0.853490i
$962$	6.69745	−	9.33013i	0.215934	−	0.300815i
$963$	30.2591	−	7.48551i	0.975086	−	0.241217i
$964$	−4.32121	−	12.7987i	−0.139177	−	0.412219i
$965$	10.6944	−	18.5233i	0.344265	−	0.596285i
$966$	−11.5963	−	2.83213i	−0.373106	−	0.0911224i
$967$	21.5058	−	12.4164i	0.691579	−	0.399283i	−0.112624	−	0.993638i	$-0.535926\pi$
$967$	21.5058	−	12.4164i	0.691579	−	0.399283i	0.804203	+	0.594354i	$0.202592\pi$
$968$	−5.16933	−	22.4191i	−0.166149	−	0.720576i
$969$	−24.4313	+	31.2115i	−0.784846	+	1.00266i
$970$	1.00541	+	2.22383i	0.0322818	+	0.0714030i
$971$		−	21.4099i		−	0.687075i	−0.939139	−	0.343538i	$-0.888375\pi$
$971$		−	21.4099i		−	0.687075i	0.939139	−	0.343538i	$-0.111625\pi$
$972$	24.4354	−	19.3626i	0.783766	−	0.621057i
$973$			14.0414i			0.450146i
$974$	34.8739	−	15.7667i	1.11743	−	0.505199i
$975$	0.767275	−	0.980213i	0.0245725	−	0.0313919i
$976$	−4.15473	+	9.93816i	−0.132990	+	0.318113i
$977$	11.0044	−	6.35337i	0.352061	−	0.203262i	−0.313532	−	0.949578i	$-0.601512\pi$
$977$	11.0044	−	6.35337i	0.352061	−	0.203262i	0.665593	+	0.746315i	$0.268179\pi$
$978$	4.25015	−	17.4025i	0.135905	−	0.556470i
$979$	−4.20570	+	7.28449i	−0.134415	+	0.232813i
$980$	3.58780	+	10.6265i	0.114608	+	0.339451i
$981$	−34.9710	+	8.65113i	−1.11654	+	0.276209i
$982$	27.0200	+	19.3958i	0.862244	+	0.618945i
$983$	−1.35255	+	2.34269i	−0.0431397	+	0.0747202i	−0.886789	−	0.462174i	$-0.847069\pi$
$983$	−1.35255	+	2.34269i	−0.0431397	+	0.0747202i	0.843649	+	0.536895i	$0.180403\pi$
$984$	4.83374	+	2.26104i	0.154094	+	0.0720792i
$985$	9.46736	+	16.3980i	0.301655	+	0.522482i
$986$	−2.00995	+	20.2374i	−0.0640098	+	0.644489i
$987$	−10.7806	−	1.52520i	−0.343151	−	0.0485477i
$988$	1.59544	−	7.95272i	0.0507578	−	0.253010i
$989$	11.4856			0.365222
$990$	4.44372	+	5.64231i	0.141231	+	0.179325i
$991$		−	18.6055i		−	0.591024i	−0.955339	−	0.295512i	$-0.904510\pi$
$991$		−	18.6055i		−	0.591024i	0.955339	−	0.295512i	$-0.0954903\pi$
$992$	−1.79993	+	3.33450i	−0.0571477	+	0.105870i
$993$	−4.16132	+	1.67684i	−0.132055	+	0.0532130i
$994$	−1.66907	+	16.8052i	−0.0529396	+	0.533028i
$995$	−20.9623	+	12.1026i	−0.664550	+	0.383678i
$996$	45.3452	+	15.9654i	1.43682	+	0.505883i
$997$	14.4956	+	8.36903i	0.459080	+	0.265050i	0.711657	−	0.702527i	$-0.247945\pi$
$997$	14.4956	+	8.36903i	0.459080	+	0.265050i	−0.252578	+	0.967577i	$0.581278\pi$
$998$	−5.31073	+	7.39831i	−0.168108	+	0.234189i
$999$	53.5745	+	24.0298i	1.69502	+	0.760268i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bm.b.11.10	yes	48
3.2	odd	2		1080.2.bm.a.251.15		48
4.3	odd	2		1440.2.cc.b.911.6		48
8.3	odd	2		360.2.bm.a.11.1	✓	48
8.5	even	2		1440.2.cc.a.911.6		48
9.4	even	3		1080.2.bm.b.611.24		48
9.5	odd	6		360.2.bm.a.131.1	yes	48
12.11	even	2		4320.2.cc.a.1871.15		48
24.5	odd	2		4320.2.cc.b.1871.10		48
24.11	even	2		1080.2.bm.b.251.24		48
36.23	even	6		1440.2.cc.a.1391.6		48
36.31	odd	6		4320.2.cc.b.3311.10		48
72.5	odd	6		1440.2.cc.b.1391.6		48
72.13	even	6		4320.2.cc.a.3311.15		48
72.59	even	6	inner	360.2.bm.b.131.10	yes	48
72.67	odd	6		1080.2.bm.a.611.15		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bm.a.11.1	✓	48	8.3	odd	2
360.2.bm.a.131.1	yes	48	9.5	odd	6
360.2.bm.b.11.10	yes	48	1.1	even	1	trivial
360.2.bm.b.131.10	yes	48	72.59	even	6	inner
1080.2.bm.a.251.15		48	3.2	odd	2
1080.2.bm.a.611.15		48	72.67	odd	6
1080.2.bm.b.251.24		48	24.11	even	2
1080.2.bm.b.611.24		48	9.4	even	3
1440.2.cc.a.911.6		48	8.5	even	2
1440.2.cc.a.1391.6		48	36.23	even	6
1440.2.cc.b.911.6		48	4.3	odd	2
1440.2.cc.b.1391.6		48	72.5	odd	6
4320.2.cc.a.1871.15		48	12.11	even	2
4320.2.cc.a.3311.15		48	72.13	even	6
4320.2.cc.b.1871.10		48	24.5	odd	2
4320.2.cc.b.3311.10		48	36.31	odd	6

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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bm (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.582600 - 1.28863i) q^{2} +(1.36390 + 1.06761i) q^{3} +(-1.32115 + 1.50152i) q^{4} +(0.500000 + 0.866025i) q^{5} +(0.581150 - 2.37955i) q^{6} +(-1.02179 - 0.589933i) q^{7} +(2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +O(q^{10})\)	\(q+(-0.582600 - 1.28863i) q^{2} +(1.36390 + 1.06761i) q^{3} +(-1.32115 + 1.50152i) q^{4} +(0.500000 + 0.866025i) q^{5} +(0.581150 - 2.37955i) q^{6} +(-1.02179 - 0.589933i) q^{7} +(2.70461 + 0.827699i) q^{8} +(0.720424 + 2.91221i) q^{9} +(0.824689 - 1.14886i) q^{10} +(1.46604 + 0.846417i) q^{11} +(-3.40495 + 0.637438i) q^{12} +(-0.622400 + 0.359343i) q^{13} +(-0.164910 + 1.66041i) q^{14} +(-0.242628 + 1.71497i) q^{15} +(-0.509106 - 3.96747i) q^{16} +4.05527i q^{17} +(3.33306 - 2.62502i) q^{18} +5.64306 q^{19} +(-1.96093 - 0.393394i) q^{20} +(-0.763803 - 1.89548i) q^{21} +(0.236608 - 2.38231i) q^{22} +(2.06520 + 3.57703i) q^{23} +(2.80515 + 4.01636i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(0.825672 + 0.592693i) q^{26} +(-2.12652 + 4.74109i) q^{27} +(2.23574 - 0.754849i) q^{28} +(-1.77305 + 3.07101i) q^{29} +(2.35133 - 0.686485i) q^{30} +(0.580112 - 0.334928i) q^{31} +(-4.81601 + 2.96750i) q^{32} +(1.09588 + 2.71958i) q^{33} +(5.22575 - 2.36260i) q^{34} -1.17987i q^{35} +(-5.32453 - 2.76575i) q^{36} -11.3000i q^{37} +(-3.28765 - 7.27184i) q^{38} +(-1.23253 - 0.174373i) q^{39} +(0.635497 + 2.75611i) q^{40} +(0.943354 - 0.544646i) q^{41} +(-1.99759 + 2.08857i) q^{42} +(1.39038 - 2.40820i) q^{43} +(-3.20777 + 1.08303i) q^{44} +(-2.16184 + 2.08001i) q^{45} +(3.40630 - 4.74527i) q^{46} +(2.66393 - 4.61407i) q^{47} +(3.54134 - 5.95474i) q^{48} +(-2.80396 - 4.85660i) q^{49} +(1.40729 + 0.139770i) q^{50} +(-4.32944 + 5.53096i) q^{51} +(0.282727 - 1.40929i) q^{52} -9.15371 q^{53} +(7.34844 - 0.0218530i) q^{54} +1.69283i q^{55} +(-2.27527 - 2.44128i) q^{56} +(7.69655 + 6.02458i) q^{57} +(4.99039 + 0.495639i) q^{58} +(6.11816 - 3.53232i) q^{59} +(-2.25451 - 2.63005i) q^{60} +(-2.33213 - 1.34646i) q^{61} +(-0.769572 - 0.552423i) q^{62} +(0.981886 - 3.40068i) q^{63} +(6.62983 + 4.47720i) q^{64} +(-0.622400 - 0.359343i) q^{65} +(2.86608 - 2.99662i) q^{66} +(-7.74884 - 13.4214i) q^{67} +(-6.08905 - 5.35763i) q^{68} +(-1.00215 + 7.08353i) q^{69} +(-1.52042 + 0.687390i) q^{70} +10.1211 q^{71} +(-0.461969 + 8.47270i) q^{72} -7.59376 q^{73} +(-14.5616 + 6.58341i) q^{74} +(-1.60652 + 0.647364i) q^{75} +(-7.45535 + 8.47315i) q^{76} +(-0.998659 - 1.72973i) q^{77} +(0.493367 + 1.68987i) q^{78} +(11.3263 + 6.53925i) q^{79} +(3.18138 - 2.42463i) q^{80} +(-7.96198 + 4.19606i) q^{81} +(-1.25145 - 0.898327i) q^{82} +(-12.0184 - 6.93884i) q^{83} +(3.85520 + 1.35736i) q^{84} +(-3.51196 + 2.02763i) q^{85} +(-3.91332 - 0.388666i) q^{86} +(-5.69690 + 2.29562i) q^{87} +(3.26448 + 3.50267i) q^{88} +4.96883i q^{89} +(3.93986 + 1.57400i) q^{90} +0.847953 q^{91} +(-8.09943 - 1.62488i) q^{92} +(1.14878 + 0.162526i) q^{93} +(-7.49786 - 0.744677i) q^{94} +(2.82153 + 4.88703i) q^{95} +(-9.73666 - 1.09425i) q^{96} +(-0.862865 + 1.49453i) q^{97} +(-4.62479 + 6.44273i) q^{98} +(-1.40878 + 4.87919i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 24 q^{5} - q^{6} + 6 q^{8}+O(q^{10}) \) 48 * q + 24 * q^5 - q^6 + 6 * q^8	\( 48 q + 24 q^{5} - q^{6} + 6 q^{8} + 13 q^{12} + 15 q^{14} - 12 q^{16} + 7 q^{18} + 4 q^{21} - 21 q^{22} - 4 q^{24} - 24 q^{25} + 12 q^{27} - 2 q^{30} - 8 q^{33} - 27 q^{34} - 31 q^{36} - 27 q^{38} - 16 q^{39} + 12 q^{40} + 12 q^{41} - 9 q^{42} + 24 q^{44} - 6 q^{46} - 12 q^{47} + 7 q^{48} + 24 q^{49} - 20 q^{51} + 54 q^{52} - 32 q^{54} + 21 q^{56} + 4 q^{57} + 33 q^{58} - 36 q^{59} - q^{60} - 12 q^{61} - 42 q^{62} - 56 q^{63} - 12 q^{64} - 32 q^{66} + 51 q^{68} + 40 q^{69} + 15 q^{70} + 6 q^{72} + 54 q^{74} - 51 q^{76} - 24 q^{78} - 8 q^{81} - 18 q^{82} - 60 q^{83} + 41 q^{84} + 27 q^{86} - 36 q^{87} - 57 q^{88} - 22 q^{90} - 9 q^{92} - 75 q^{94} + 13 q^{96} - 42 q^{98} - 16 q^{99}+O(q^{100}) \) 48 * q + 24 * q^5 - q^6 + 6 * q^8 + 13 * q^12 + 15 * q^14 - 12 * q^16 + 7 * q^18 + 4 * q^21 - 21 * q^22 - 4 * q^24 - 24 * q^25 + 12 * q^27 - 2 * q^30 - 8 * q^33 - 27 * q^34 - 31 * q^36 - 27 * q^38 - 16 * q^39 + 12 * q^40 + 12 * q^41 - 9 * q^42 + 24 * q^44 - 6 * q^46 - 12 * q^47 + 7 * q^48 + 24 * q^49 - 20 * q^51 + 54 * q^52 - 32 * q^54 + 21 * q^56 + 4 * q^57 + 33 * q^58 - 36 * q^59 - q^60 - 12 * q^61 - 42 * q^62 - 56 * q^63 - 12 * q^64 - 32 * q^66 + 51 * q^68 + 40 * q^69 + 15 * q^70 + 6 * q^72 + 54 * q^74 - 51 * q^76 - 24 * q^78 - 8 * q^81 - 18 * q^82 - 60 * q^83 + 41 * q^84 + 27 * q^86 - 36 * q^87 - 57 * q^88 - 22 * q^90 - 9 * q^92 - 75 * q^94 + 13 * q^96 - 42 * q^98 - 16 * q^99

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