LMFDB - Embedded newform 91.2.r.a.51.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [91,2,Mod(25,91)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(91, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([4, 3]))

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

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

chi := DirichletCharacter("91.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 91 = 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	91.r (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:	$0.726638658394$
Analytic rank:	$0$
Dimension:	$16$
Relative dimension:	$8$ over $\Q(\zeta_{6})$
Coefficient field:	$\mathbb{Q}[x]/(x^{16} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{16} - 11x^{14} + 85x^{12} - 334x^{10} + 952x^{8} - 1050x^{6} + 853x^{4} - 93x^{2} + 9 $ x^16 - 11x^14 + 85x^12 - 334x^10 + 952x^8 - 1050x^6 + 853x^4 - 93*x^2 + 9
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			51.5
Root			$-0.287846 + 0.166188i$ of defining polynomial
Character	$\chi$	$=$	91.51
Dual form			91.2.r.a.25.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.287846 + 0.166188i) q^{2} +(-0.729919 - 1.26426i) q^{3} +(-0.944763 - 1.63638i) q^{4} +(1.25195 + 0.722811i) q^{5} -0.485214i q^{6} +(2.26391 - 1.36920i) q^{7} -1.29278i q^{8} +(0.434437 - 0.752468i) q^{9} +O(q^{10})$	\(q+(0.287846 + 0.166188i) q^{2} +(-0.729919 - 1.26426i) q^{3} +(-0.944763 - 1.63638i) q^{4} +(1.25195 + 0.722811i) q^{5} -0.485214i q^{6} +(2.26391 - 1.36920i) q^{7} -1.29278i q^{8} +(0.434437 - 0.752468i) q^{9} +(0.240245 + 0.416116i) q^{10} +(-5.15732 + 2.97758i) q^{11} +(-1.37920 + 2.38885i) q^{12} +(1.88953 + 3.07078i) q^{13} +(0.879201 - 0.0178849i) q^{14} -2.11037i q^{15} +(-1.67468 + 2.90063i) q^{16} +(2.16436 + 3.74877i) q^{17} +(0.250102 - 0.144396i) q^{18} +(1.69527 + 0.978767i) q^{19} -2.73154i q^{20} +(-3.38349 - 1.86276i) q^{21} -1.97935 q^{22} +(-0.270081 + 0.467795i) q^{23} +(-1.63441 + 0.943626i) q^{24} +(-1.45509 - 2.52029i) q^{25} +(0.0335660 + 1.19793i) q^{26} -5.64793 q^{27} +(-4.37939 - 2.41104i) q^{28} +7.15857 q^{29} +(0.350718 - 0.607461i) q^{30} +(5.28968 - 3.05400i) q^{31} +(-3.20327 + 1.84941i) q^{32} +(7.52885 + 4.34678i) q^{33} +1.43876i q^{34} +(3.82396 - 0.0777879i) q^{35} -1.64176 q^{36} +(-6.95316 - 4.01441i) q^{37} +(0.325318 + 0.563467i) q^{38} +(2.50305 - 4.63027i) q^{39} +(0.934437 - 1.61849i) q^{40} +7.55362i q^{41} +(-0.664356 - 1.09848i) q^{42} -4.24839 q^{43} +(9.74489 + 5.62622i) q^{44} +(1.08778 - 0.628032i) q^{45} +(-0.155483 + 0.0897684i) q^{46} +(-5.42204 - 3.13042i) q^{47} +4.88953 q^{48} +(3.25057 - 6.19950i) q^{49} -0.967272i q^{50} +(3.15961 - 5.47260i) q^{51} +(3.23980 - 5.99314i) q^{52} +(1.38953 + 2.40673i) q^{53} +(-1.62573 - 0.938616i) q^{54} -8.60891 q^{55} +(-1.77008 - 2.92674i) q^{56} -2.85768i q^{57} +(2.06056 + 1.18967i) q^{58} +(-0.737119 + 0.425576i) q^{59} +(-3.45337 + 1.99380i) q^{60} +(-3.38953 + 5.87083i) q^{61} +2.03015 q^{62} +(-0.0467536 - 2.29835i) q^{63} +5.46933 q^{64} +(0.145991 + 5.21022i) q^{65} +(1.44476 + 2.50240i) q^{66} +(0.854859 - 0.493553i) q^{67} +(4.08961 - 7.08341i) q^{68} +0.788550 q^{69} +(1.11364 + 0.613105i) q^{70} -3.76223i q^{71} +(-0.972777 - 0.561633i) q^{72} +(-7.91131 + 4.56760i) q^{73} +(-1.33429 - 2.31106i) q^{74} +(-2.12419 + 3.67921i) q^{75} -3.69881i q^{76} +(-7.59879 + 13.8024i) q^{77} +(1.48999 - 0.916825i) q^{78} +(0.0655625 - 0.113558i) q^{79} +(-4.19322 + 2.42096i) q^{80} +(2.81922 + 4.88303i) q^{81} +(-1.25532 + 2.17428i) q^{82} -2.66812i q^{83} +(0.148428 + 7.29653i) q^{84} +6.25768i q^{85} +(-1.22288 - 0.706030i) q^{86} +(-5.22517 - 9.05026i) q^{87} +(3.84936 + 6.66729i) q^{88} +(-8.41550 - 4.85869i) q^{89} +0.417485 q^{90} +(8.48224 + 4.36482i) q^{91} +1.02065 q^{92} +(-7.72207 - 4.45834i) q^{93} +(-1.04047 - 1.80215i) q^{94} +(1.41493 + 2.45072i) q^{95} +(4.67625 + 2.69983i) q^{96} -6.58319i q^{97} +(1.96594 - 1.24429i) q^{98} +5.17429i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 16 q - 4 q^{3} + 6 q^{4} - 12 q^{9}+O(q^{10}) $ 16 * q - 4 * q^3 + 6 * q^4 - 12 * q^9	$ 16 q - 4 q^{3} + 6 q^{4} - 12 q^{9} - 6 q^{10} + 18 q^{12} - 12 q^{13} - 26 q^{14} + 2 q^{16} + 8 q^{17} - 36 q^{22} - 12 q^{23} - 6 q^{26} + 32 q^{27} - 16 q^{29} + 38 q^{30} - 56 q^{36} + 34 q^{38} + 18 q^{39} - 4 q^{40} + 16 q^{42} + 16 q^{43} + 36 q^{48} + 40 q^{49} + 16 q^{51} - 42 q^{52} - 20 q^{53} + 24 q^{55} - 36 q^{56} - 12 q^{61} + 44 q^{62} + 88 q^{64} - 30 q^{65} + 2 q^{66} - 2 q^{68} - 56 q^{69} + 42 q^{74} + 8 q^{75} - 76 q^{77} + 20 q^{78} + 20 q^{79} - 24 q^{81} - 16 q^{82} - 68 q^{87} + 4 q^{88} - 216 q^{90} + 56 q^{91} + 12 q^{92} - 26 q^{94} - 16 q^{95}+O(q^{100}) $ 16 * q - 4 * q^3 + 6 * q^4 - 12 * q^9 - 6 * q^10 + 18 * q^12 - 12 * q^13 - 26 * q^14 + 2 * q^16 + 8 * q^17 - 36 * q^22 - 12 * q^23 - 6 * q^26 + 32 * q^27 - 16 * q^29 + 38 * q^30 - 56 * q^36 + 34 * q^38 + 18 * q^39 - 4 * q^40 + 16 * q^42 + 16 * q^43 + 36 * q^48 + 40 * q^49 + 16 * q^51 - 42 * q^52 - 20 * q^53 + 24 * q^55 - 36 * q^56 - 12 * q^61 + 44 * q^62 + 88 * q^64 - 30 * q^65 + 2 * q^66 - 2 * q^68 - 56 * q^69 + 42 * q^74 + 8 * q^75 - 76 * q^77 + 20 * q^78 + 20 * q^79 - 24 * q^81 - 16 * q^82 - 68 * q^87 + 4 * q^88 - 216 * q^90 + 56 * q^91 + 12 * q^92 - 26 * q^94 - 16 * q^95

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/91\mathbb{Z}\right)^\times$.

$n$	$15$	$66$
$\chi(n)$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.287846	+	0.166188i	0.203538	+	0.117512i	0.598304	−	0.801269i	$-0.295841\pi$
$2$	0.287846	+	0.166188i	0.203538	+	0.117512i	−0.394767	+	0.918781i	$0.629175\pi$
$3$	−0.729919	−	1.26426i	−0.421419	−	0.729919i	0.574660	−	0.818392i	$-0.305134\pi$
$3$	−0.729919	−	1.26426i	−0.421419	−	0.729919i	−0.996079	+	0.0884737i	$0.971801\pi$
$4$	−0.944763	−	1.63638i	−0.472382	−	0.818189i
$5$	1.25195	+	0.722811i	0.559887	+	0.323251i	0.753100	−	0.657906i	$-0.228558\pi$
$5$	1.25195	+	0.722811i	0.559887	+	0.323251i	−0.193213	+	0.981157i	$0.561891\pi$
$6$		−	0.485214i		−	0.198088i
$7$	2.26391	−	1.36920i	0.855677	−	0.517510i
$7$	2.26391	−	1.36920i	0.855677	−	0.517510i
$8$		−	1.29278i		−	0.457068i
$9$	0.434437	−	0.752468i	0.144812	−	0.250823i
$10$	0.240245	+	0.416116i	0.0759720	+	0.131587i
$11$	−5.15732	+	2.97758i	−1.55499	+	0.897774i	−0.557267	+	0.830333i	$0.688150\pi$
$11$	−5.15732	+	2.97758i	−1.55499	+	0.897774i	−0.997723	+	0.0674405i	$0.978517\pi$
$12$	−1.37920	+	2.38885i	−0.398141	+	0.689600i
$13$	1.88953	+	3.07078i	0.524060	+	0.851681i
$13$	1.88953	+	3.07078i	0.524060	+	0.851681i
$14$	0.879201	−	0.0178849i	0.234976	−	0.00477994i
$15$		−	2.11037i		−	0.544896i
$16$	−1.67468	+	2.90063i	−0.418670	+	0.725159i
$17$	2.16436	+	3.74877i	0.524933	+	0.909211i	0.999578	+	0.0290341i	$0.00924314\pi$
$17$	2.16436	+	3.74877i	0.524933	+	0.909211i	−0.474645	+	0.880177i	$0.657424\pi$
$18$	0.250102	−	0.144396i	0.0589496	−	0.0340345i
$19$	1.69527	+	0.978767i	0.388923	+	0.224545i	0.681693	−	0.731638i	$-0.261244\pi$
$19$	1.69527	+	0.978767i	0.388923	+	0.224545i	−0.292771	+	0.956183i	$0.594577\pi$
$20$		−	2.73154i		−	0.610791i
$21$	−3.38349	−	1.86276i	−0.738339	−	0.406486i
$22$	−1.97935			−0.421998
$23$	−0.270081	+	0.467795i	−0.0563158	+	0.0975419i	−0.892809	−	0.450436i	$-0.851269\pi$
$23$	−0.270081	+	0.467795i	−0.0563158	+	0.0975419i	0.836493	+	0.547977i	$0.184602\pi$
$24$	−1.63441	+	0.943626i	−0.333622	+	0.192617i
$25$	−1.45509	−	2.52029i	−0.291018	−	0.504058i
$26$	0.0335660	+	1.19793i	0.00658282	+	0.234933i
$27$	−5.64793			−1.08694
$28$	−4.37939	−	2.41104i	−0.827627	−	0.455644i
$29$	7.15857			1.32931			0.664656	−	0.747149i	$-0.268578\pi$
$29$	7.15857			1.32931			0.664656	+	0.747149i	$0.268578\pi$
$30$	0.350718	−	0.607461i	0.0640320	−	0.110907i
$31$	5.28968	−	3.05400i	0.950055	−	0.548514i	0.0569568	−	0.998377i	$-0.481860\pi$
$31$	5.28968	−	3.05400i	0.950055	−	0.548514i	0.893098	+	0.449862i	$0.148527\pi$
$32$	−3.20327	+	1.84941i	−0.566263	+	0.326932i
$33$	7.52885	+	4.34678i	1.31060	+	0.756678i
$34$			1.43876i			0.246745i
$35$	3.82396	−	0.0777879i	0.646368	−	0.0131486i
$36$	−1.64176			−0.273627
$37$	−6.95316	−	4.01441i	−1.14309	−	0.659964i	−0.195897	−	0.980624i	$-0.562762\pi$
$37$	−6.95316	−	4.01441i	−1.14309	−	0.659964i	−0.947194	+	0.320660i	$0.896095\pi$
$38$	0.325318	+	0.563467i	0.0527736	+	0.0914065i
$39$	2.50305	−	4.63027i	0.400809	−	0.741436i
$40$	0.934437	−	1.61849i	0.147748	−	0.255906i
$41$			7.55362i			1.17968i	0.807521	+	0.589839i	$0.200809\pi$
$41$			7.55362i			1.17968i	−0.807521	+	0.589839i	$0.799191\pi$
$42$	−0.664356	−	1.09848i	−0.102512	−	0.169499i
$43$	−4.24839			−0.647873			−0.323936	−	0.946079i	$-0.605006\pi$
$43$	−4.24839			−0.647873			−0.323936	+	0.946079i	$0.605006\pi$
$44$	9.74489	+	5.62622i	1.46910	+	0.848184i
$45$	1.08778	−	0.628032i	0.162157	−	0.0936215i
$46$	−0.155483	+	0.0897684i	−0.0229248	+	0.0132356i
$47$	−5.42204	−	3.13042i	−0.790886	−	0.456618i	0.0493882	−	0.998780i	$-0.484273\pi$
$47$	−5.42204	−	3.13042i	−0.790886	−	0.456618i	−0.840274	+	0.542161i	$0.817606\pi$
$48$	4.88953			0.705742
$49$	3.25057	−	6.19950i	0.464367	−	0.885643i
$50$		−	0.967272i		−	0.136793i
$51$	3.15961	−	5.47260i	0.442434	−	0.766317i
$52$	3.23980	−	5.99314i	0.449280	−	0.831099i
$53$	1.38953	+	2.40673i	0.190866	+	0.330590i	0.945538	−	0.325513i	$-0.105537\pi$
$53$	1.38953	+	2.40673i	0.190866	+	0.330590i	−0.754671	+	0.656103i	$0.772204\pi$
$54$	−1.62573	−	0.938616i	−0.221234	−	0.127729i
$55$	−8.60891			−1.16082
$56$	−1.77008	−	2.92674i	−0.236537	−	0.391103i
$57$		−	2.85768i		−	0.378509i
$58$	2.06056	+	1.18967i	0.270565	+	0.156211i
$59$	−0.737119	+	0.425576i	−0.0959647	+	0.0554053i	−0.547214	−	0.836993i	$-0.684312\pi$
$59$	−0.737119	+	0.425576i	−0.0959647	+	0.0554053i	0.451250	+	0.892398i	$0.350978\pi$
$60$	−3.45337	+	1.99380i	−0.445828	+	0.257399i
$61$	−3.38953	+	5.87083i	−0.433984	+	0.751683i	−0.997212	−	0.0746187i	$-0.976226\pi$
$61$	−3.38953	+	5.87083i	−0.433984	+	0.751683i	0.563228	+	0.826302i	$0.309559\pi$
$62$	2.03015			0.257829
$63$	−0.0467536	−	2.29835i	−0.00589039	−	0.289565i
$64$	5.46933			0.683667
$65$	0.145991	+	5.21022i	0.0181079	+	0.646248i
$66$	1.44476	+	2.50240i	0.177838	+	0.308025i
$67$	0.854859	−	0.493553i	0.104438	−	0.0602971i	−0.446871	−	0.894598i	$-0.647462\pi$
$67$	0.854859	−	0.493553i	0.104438	−	0.0602971i	0.551309	+	0.834301i	$0.314129\pi$
$68$	4.08961	−	7.08341i	0.495938	−	0.858990i
$69$	0.788550			0.0949302
$70$	1.11364	+	0.613105i	0.133105	+	0.0732801i
$71$		−	3.76223i		−	0.446494i	−0.974762	−	0.223247i	$-0.928334\pi$
$71$		−	3.76223i		−	0.446494i	0.974762	−	0.223247i	$-0.0716657\pi$
$72$	−0.972777	−	0.561633i	−0.114643	−	0.0661891i
$73$	−7.91131	+	4.56760i	−0.925949	+	0.534597i	−0.885528	−	0.464586i	$-0.846203\pi$
$73$	−7.91131	+	4.56760i	−0.925949	+	0.534597i	−0.0404208	+	0.999183i	$0.512870\pi$
$74$	−1.33429	−	2.31106i	−0.155108	−	0.268655i
$75$	−2.12419	+	3.67921i	−0.245281	+	0.424839i
$76$		−	3.69881i		−	0.424283i
$77$	−7.59879	+	13.8024i	−0.865963	+	1.57293i
$78$	1.48999	−	0.916825i	0.168708	−	0.103810i
$79$	0.0655625	−	0.113558i	0.00737636	−	0.0127762i	−0.862314	−	0.506375i	$-0.830985\pi$
$79$	0.0655625	−	0.113558i	0.00737636	−	0.0127762i	0.869690	+	0.493598i	$0.164319\pi$
$80$	−4.19322	+	2.42096i	−0.468816	+	0.270671i
$81$	2.81922	+	4.88303i	0.313246	+	0.542558i
$82$	−1.25532	+	2.17428i	−0.138627	+	0.240109i
$83$		−	2.66812i		−	0.292865i	−0.989221	−	0.146432i	$-0.953221\pi$
$83$		−	2.66812i		−	0.292865i	0.989221	−	0.146432i	$-0.0467791\pi$
$84$	0.148428	+	7.29653i	0.0161948	+	0.796117i
$85$			6.25768i			0.678741i
$86$	−1.22288	−	0.706030i	−0.131866	−	0.0761331i
$87$	−5.22517	−	9.05026i	−0.560197	−	0.970290i
$88$	3.84936	+	6.66729i	0.410344	+	0.710736i
$89$	−8.41550	−	4.85869i	−0.892042	−	0.515021i	−0.0174319	−	0.999848i	$-0.505549\pi$
$89$	−8.41550	−	4.85869i	−0.892042	−	0.515021i	−0.874610	+	0.484828i	$0.838882\pi$
$90$	0.417485			0.0440068
$91$	8.48224	+	4.36482i	0.889180	+	0.457558i
$92$	1.02065			0.106410
$93$	−7.72207	−	4.45834i	−0.800742	−	0.462308i
$94$	−1.04047	−	1.80215i	−0.107317	−	0.185878i
$95$	1.41493	+	2.45072i	0.145168	+	0.251439i
$96$	4.67625	+	2.69983i	0.477267	+	0.275550i
$97$		−	6.58319i		−	0.668422i	−0.942498	−	0.334211i	$-0.891530\pi$
$97$		−	6.58319i		−	0.668422i	0.942498	−	0.334211i	$-0.108470\pi$
$98$	1.96594	−	1.24429i	0.198590	−	0.125693i
$99$			5.17429i			0.520036i
$100$	−2.74943	+	4.76215i	−0.274943	+	0.476215i
$101$	−0.0354144	−	0.0613396i	−0.00352387	−	0.00610352i	0.864258	−	0.503049i	$-0.167788\pi$
$101$	−0.0354144	−	0.0613396i	−0.00352387	−	0.00610352i	−0.867782	+	0.496945i	$0.834455\pi$
$102$	1.81896	−	1.05018i	0.180104	−	0.103983i
$103$	3.16910	−	5.48905i	0.312261	−	0.540852i	−0.666590	−	0.745424i	$-0.732247\pi$
$103$	3.16910	−	5.48905i	0.312261	−	0.540852i	0.978852	+	0.204572i	$0.0655803\pi$
$104$	3.96985	−	2.44275i	0.389276	−	0.239531i
$105$	−2.88953	−	4.77769i	−0.281989	−	0.466255i
$106$			0.923689i			0.0897166i
$107$	−3.87476	+	6.71129i	−0.374588	+	0.648805i	−0.990265	−	0.139193i	$-0.955549\pi$
$107$	−3.87476	+	6.71129i	−0.374588	+	0.648805i	0.615678	+	0.787998i	$0.288882\pi$
$108$	5.33596	+	9.24215i	0.513453	+	0.889326i
$109$	0.0290658	−	0.0167811i	0.00278400	−	0.00160734i	−0.498607	−	0.866828i	$-0.666155\pi$
$109$	0.0290658	−	0.0167811i	0.00278400	−	0.00160734i	0.501391	+	0.865221i	$0.332822\pi$
$110$	−2.47804	−	1.43069i	−0.236271	−	0.136411i
$111$			11.7208i			1.11249i
$112$	0.180227	+	8.85975i	0.0170298	+	0.837168i
$113$	−9.19987			−0.865451			−0.432725	−	0.901526i	$-0.642448\pi$
$113$	−9.19987			−0.865451			−0.432725	+	0.901526i	$0.642448\pi$
$114$	0.474911	−	0.822571i	0.0444795	−	0.0770408i
$115$	−0.676254	+	0.390435i	−0.0630610	+	0.0364083i
$116$	−6.76315	−	11.7141i	−0.627943	−	1.08763i
$117$	3.13154	−	0.0877460i	0.289511	−	0.00811212i
$118$	−0.282902			−0.0260432
$119$	10.0327	+	5.52344i	0.919699	+	0.506333i
$120$	−2.72825			−0.249054
$121$	12.2320	−	21.1864i	1.11200	−	1.92603i
$122$	−1.95132	+	1.12660i	−0.176664	+	0.101997i
$123$	9.54971	−	5.51353i	0.861068	−	0.497138i
$124$	−9.99499	−	5.77061i	−0.897577	−	0.518216i
$125$		−	11.4351i		−	1.02279i
$126$	0.368500	−	0.669340i	0.0328286	−	0.0596296i
$127$	−14.3952			−1.27737			−0.638683	−	0.769470i	$-0.720520\pi$
$127$	−14.3952			−1.27737			−0.638683	+	0.769470i	$0.720520\pi$
$128$	7.98085	+	4.60775i	0.705414	+	0.407271i
$129$	3.10098	+	5.37105i	0.273026	+	0.472895i
$130$	−0.823851	+	1.52400i	−0.0722565	+	0.133664i
$131$	4.73414	−	8.19978i	0.413624	−	0.716418i	−0.581659	−	0.813433i	$-0.697596\pi$
$131$	4.73414	−	8.19978i	0.413624	−	0.716418i	0.995283	+	0.0970151i	$0.0309295\pi$
$132$		−	16.4267i		−	1.42976i
$133$	5.17808	−	0.105334i	0.448996	−	0.00913357i
$134$	0.328090			0.0283426
$135$	−7.07090	−	4.08238i	−0.608566	−	0.351356i
$136$	4.84635	−	2.79804i	0.415571	−	0.239930i
$137$	14.3814	−	8.30313i	1.22869	−	0.709384i	0.261934	−	0.965086i	$-0.415640\pi$
$137$	14.3814	−	8.30313i	1.22869	−	0.709384i	0.966756	+	0.255702i	$0.0823065\pi$
$138$	0.226980	+	0.131047i	0.0193219	+	0.0111555i
$139$	18.4778			1.56726			0.783632	−	0.621225i	$-0.213365\pi$
$139$	18.4778			1.56726			0.783632	+	0.621225i	$0.213365\pi$
$140$	−3.74003	−	6.18396i	−0.316090	−	0.522640i
$141$			9.13980i			0.769710i
$142$	0.625236	−	1.08294i	0.0524687	−	0.0908784i
$143$	−18.8884	−	10.2108i	−1.57953	−	0.853868i
$144$	1.45509	+	2.52029i	0.121257	+	0.210024i
$145$	8.96213	+	5.17429i	0.744264	+	0.429701i
$146$	−3.03631			−0.251287
$147$	−10.2104	+	0.415577i	−0.842140	+	0.0342762i
$148$			15.1707i			1.24702i
$149$	−2.66805	−	1.54040i	−0.218575	−	0.126195i	0.386715	−	0.922199i	$-0.373610\pi$
$149$	−2.66805	−	1.54040i	−0.218575	−	0.126195i	−0.605290	+	0.796005i	$0.706943\pi$
$150$	−1.22288	+	0.706030i	−0.0998477	+	0.0576471i
$151$	2.20737	−	1.27442i	0.179633	−	0.103711i	−0.407487	−	0.913211i	$-0.633595\pi$
$151$	2.20737	−	1.27442i	0.179633	−	0.103711i	0.587120	+	0.809500i	$0.300262\pi$
$152$	1.26533	−	2.19162i	0.102632	−	0.177764i
$153$	3.76111			0.304068
$154$	−4.48106	+	2.71013i	−0.361095	+	0.218388i
$155$	8.82985			0.709231
$156$	−9.94166	+	0.278566i	−0.795970	+	0.0223031i
$157$	4.70452	+	8.14847i	0.375461	+	0.650318i	0.990396	−	0.138260i	$-0.0441509\pi$
$157$	4.70452	+	8.14847i	0.375461	+	0.650318i	−0.614935	+	0.788578i	$0.710818\pi$
$158$	0.0377438	−	0.0217914i	0.00300273	−	0.00173363i
$159$	2.02848	−	3.51344i	0.160869	−	0.278634i
$160$	−5.34708			−0.422724
$161$	0.0290658	+	1.42884i	0.00229070	+	0.112608i
$162$			1.87408i			0.147241i
$163$	−0.602023	−	0.347578i	−0.0471541	−	0.0272244i	0.476238	−	0.879317i	$-0.342000\pi$
$163$	−0.602023	−	0.347578i	−0.0471541	−	0.0272244i	−0.523392	+	0.852092i	$0.675334\pi$
$164$	12.3606	−	7.13638i	0.965199	−	0.557258i
$165$	6.28380	+	10.8839i	0.489193	+	0.847308i
$166$	0.443409	−	0.768007i	0.0344152	−	0.0596089i
$167$			13.9840i			1.08211i	0.840986	+	0.541056i	$0.181975\pi$
$167$			13.9840i			1.08211i	−0.840986	+	0.541056i	$0.818025\pi$
$168$	−2.40814	+	4.37412i	−0.185792	+	0.337471i
$169$	−5.85938	+	11.6046i	−0.450721	+	0.892665i
$170$	−1.03995	+	1.80125i	−0.0797605	+	0.138149i
$171$	1.47298	−	0.850426i	0.112642	−	0.0650337i
$172$	4.01372	+	6.95197i	0.306043	+	0.530083i
$173$	−2.71824	+	4.70813i	−0.206664	+	0.357952i	−0.950662	−	0.310230i	$-0.899594\pi$
$173$	−2.71824	+	4.70813i	−0.206664	+	0.357952i	0.743998	+	0.668182i	$0.232927\pi$
$174$		−	3.47344i		−	0.263321i
$175$	−6.74497	−	3.71339i	−0.509872	−	0.280706i
$176$		−	19.9460i		−	1.50349i
$177$	1.07607	+	0.621272i	0.0808827	+	0.0466976i
$178$	−1.61491	−	2.79711i	−0.121043	−	0.209652i
$179$	2.67912	+	4.64037i	0.200247	+	0.346838i	0.948608	−	0.316454i	$-0.102492\pi$
$179$	2.67912	+	4.64037i	0.200247	+	0.346838i	−0.748361	+	0.663292i	$0.769159\pi$
$180$	−2.05540	−	1.18668i	−0.153200	−	0.0884502i
$181$	−7.54016			−0.560456			−0.280228	−	0.959933i	$-0.590410\pi$
$181$	−7.54016			−0.560456			−0.280228	+	0.959933i	$0.590410\pi$
$182$	1.71619	+	2.66604i	0.127213	+	0.197620i
$183$	9.89632			0.731557
$184$	0.604757	+	0.349157i	0.0445833	+	0.0257402i
$185$	−5.80331	−	10.0516i	−0.426668	−	0.739011i
$186$	−1.48184	−	2.56663i	−0.108654	−	0.188194i
$187$	−22.3245	−	12.8891i	−1.63253	−	0.942543i
$188$			11.8300i			0.862793i
$189$	−12.7864	+	7.73316i	−0.930074	+	0.562504i
$190$			0.940574i			0.0682364i
$191$	−6.77316	+	11.7315i	−0.490089	+	0.848859i	−0.999935	−	0.0114067i	$-0.996369\pi$
$191$	−6.77316	+	11.7315i	−0.490089	+	0.848859i	0.509846	+	0.860266i	$0.329702\pi$
$192$	−3.99217	−	6.91464i	−0.288110	−	0.499021i
$193$	16.0702	−	9.27812i	1.15676	−	0.667853i	0.206232	−	0.978503i	$-0.433880\pi$
$193$	16.0702	−	9.27812i	1.15676	−	0.667853i	0.950524	+	0.310650i	$0.100547\pi$
$194$	1.09405	−	1.89494i	0.0785479	−	0.136049i
$195$	6.48049	−	3.98760i	0.464077	−	0.285558i
$196$	−13.2157	+	0.537898i	−0.943982	+	0.0384213i
$197$			2.66812i			0.190096i	0.995473	+	0.0950480i	$0.0303004\pi$
$197$			2.66812i			0.190096i	−0.995473	+	0.0950480i	$0.969700\pi$
$198$	−0.859903	+	1.48940i	−0.0611106	+	0.105847i
$199$	10.0999	+	17.4936i	0.715965	+	1.24009i	0.962586	+	0.270976i	$0.0873465\pi$
$199$	10.0999	+	17.4936i	0.715965	+	1.24009i	−0.246621	+	0.969112i	$0.579320\pi$
$200$	−3.25819	+	1.88111i	−0.230389	+	0.133015i
$201$	−1.24795	−	0.720507i	−0.0880239	−	0.0508206i
$202$		−	0.0235418i		−	0.00165639i
$203$	16.2063	−	9.80152i	1.13746	−	0.687932i
$204$	−11.9403			−0.835990
$205$	−5.45984	+	9.45672i	−0.381332	+	0.660486i
$206$	1.82443	−	1.05333i	0.127114	−	0.0733891i
$207$	0.234667	+	0.406455i	0.0163105	+	0.0282506i
$208$	−12.0716	+	0.338246i	−0.837012	+	0.0234531i
$209$	−11.6574			−0.806361
$210$	−0.0377438	−	1.85544i	−0.00260457	−	0.128038i
$211$	13.1268			0.903683			0.451842	−	0.892098i	$-0.350767\pi$
$211$	13.1268			0.903683			0.451842	+	0.892098i	$0.350767\pi$
$212$	2.62555	−	4.54758i	0.180323	−	0.312329i
$213$	−4.75642	+	2.74612i	−0.325905	+	0.188161i
$214$	−2.23067	+	1.28788i	−0.152485	+	0.0880374i
$215$	−5.31875	−	3.07078i	−0.362736	−	0.209425i
$216$			7.30155i			0.496807i
$217$	7.79382	−	14.1566i	0.529079	−	0.961014i
$218$	0.0111553			0.000755530
$219$	11.5492	+	6.66795i	0.780424	+	0.450578i
$220$	8.13338	+	14.0874i	0.548352	+	0.949774i
$221$	−7.42205	+	13.7297i	−0.499261	+	0.923558i
$222$	−1.94785	+	3.37377i	−0.130731	+	0.226433i
$223$			2.22334i			0.148886i	0.997225	+	0.0744428i	$0.0237178\pi$
$223$			2.22334i			0.148886i	−0.997225	+	0.0744428i	$0.976282\pi$
$224$	−4.71969	+	8.57281i	−0.315348	+	0.572795i
$225$	−2.52858			−0.168572
$226$	−2.64814	−	1.52890i	−0.176152	−	0.101701i
$227$	−23.4732	+	13.5523i	−1.55797	+	0.899495i	−0.560520	+	0.828141i	$0.689399\pi$
$227$	−23.4732	+	13.5523i	−1.55797	+	0.899495i	−0.997451	+	0.0713539i	$0.977268\pi$
$228$	−4.67625	+	2.69983i	−0.309692	+	0.178801i
$229$	16.4447	+	9.49437i	1.08670	+	0.627406i	0.932696	−	0.360665i	$-0.117450\pi$
$229$	16.4447	+	9.49437i	1.08670	+	0.627406i	0.154003	+	0.988070i	$0.450783\pi$
$230$	−0.259542			−0.0171137
$231$	22.9962	−	0.467795i	1.51304	−	0.0307786i
$232$		−	9.25447i		−	0.607586i
$233$	10.8700	−	18.8274i	0.712118	−	1.23343i	−0.251942	−	0.967742i	$-0.581069\pi$
$233$	10.8700	−	18.8274i	0.712118	−	1.23343i	0.964060	−	0.265683i	$-0.0855974\pi$
$234$	0.915983	+	0.495167i	0.0598797	+	0.0323701i
$235$	−4.52540	−	7.83822i	−0.295205	−	0.511309i
$236$	1.39281	+	0.804137i	0.0906639	+	0.0523449i
$237$	−0.191421			−0.0124342
$238$	1.96995	+	3.25722i	0.127693	+	0.211134i
$239$		−	19.9695i		−	1.29172i	−0.763455	−	0.645861i	$-0.776499\pi$
$239$		−	19.9695i		−	1.29172i	0.763455	−	0.645861i	$-0.223501\pi$
$240$	6.12142	+	3.53420i	0.395136	+	0.228132i
$241$	2.79768	−	1.61524i	0.180214	−	0.104047i	−0.407179	−	0.913348i	$-0.633487\pi$
$241$	2.79768	−	1.61524i	0.180214	−	0.104047i	0.587393	+	0.809302i	$0.300154\pi$
$242$	7.04183	−	4.06560i	0.452666	−	0.261347i
$243$	−4.35630	+	7.54533i	−0.279456	+	0.484033i
$244$	12.8092			0.820025
$245$	8.55060	−	5.41188i	0.546278	−	0.345753i
$246$	3.66512			0.233680
$247$	0.197688	+	7.05522i	0.0125786	+	0.448913i
$248$	−3.94816	−	6.83841i	−0.250708	−	0.434239i
$249$	−3.37319	+	1.94751i	−0.213767	+	0.123419i
$250$	1.90038	−	3.29155i	0.120190	−	0.208176i
$251$	−12.4916			−0.788466			−0.394233	−	0.919011i	$-0.628990\pi$
$251$	−12.4916			−0.788466			−0.394233	+	0.919011i	$0.628990\pi$
$252$	−3.71680	+	2.24790i	−0.234136	+	0.141605i
$253$		−	3.21675i		−	0.202236i
$254$	−4.14359	−	2.39230i	−0.259992	−	0.150106i
$255$	7.91131	−	4.56760i	0.495425	−	0.286034i
$256$	−3.93783	−	6.82052i	−0.246114	−	0.426283i
$257$	2.91379	−	5.04682i	0.181757	−	0.314812i	−0.760722	−	0.649078i	$-0.775155\pi$
$257$	2.91379	−	5.04682i	0.181757	−	0.314812i	0.942479	+	0.334266i	$0.108488\pi$
$258$			2.06138i			0.128336i
$259$	−21.2378	+	0.432025i	−1.31966	+	0.0268447i
$260$	8.38796	−	5.16132i	0.520199	−	0.320091i
$261$	3.10995	−	5.38659i	0.192501	−	0.333422i
$262$	2.72540	−	1.57351i	0.168376	−	0.0972119i
$263$	−8.75736	−	15.1682i	−0.540002	−	0.935311i	−0.998903	−	0.0468234i	$-0.985090\pi$
$263$	−8.75736	−	15.1682i	−0.540002	−	0.935311i	0.458901	−	0.888487i	$-0.348243\pi$
$264$	5.61945	−	9.73316i	0.345853	−	0.599035i
$265$			4.01746i			0.246791i
$266$	1.50799	+	0.830213i	0.0924609	+	0.0509036i
$267$			14.1858i			0.868157i
$268$	−1.61528	−	0.932581i	−0.0986688	−	0.0569665i
$269$	−11.1644	−	19.3372i	−0.680703	−	1.17901i	−0.974767	−	0.223226i	$-0.928341\pi$
$269$	−11.1644	−	19.3372i	−0.680703	−	1.17901i	0.294064	−	0.955786i	$-0.404992\pi$
$270$	−1.35688	−	2.35019i	−0.0825773	−	0.143028i
$271$	22.8366	+	13.1847i	1.38723	+	0.800916i	0.993002	−	0.118098i	$-0.0376796\pi$
$271$	22.8366	+	13.1847i	1.38723	+	0.800916i	0.394225	+	0.919014i	$0.371013\pi$
$272$	−14.4984			−0.879097
$273$	−0.673087	−	13.9097i	−0.0407371	−	0.841852i
$274$	5.51951			0.333446
$275$	15.0087	+	8.66529i	0.905060	+	0.522536i
$276$	−0.744993	−	1.29037i	−0.0448433	−	0.0776709i
$277$	−4.68809	−	8.12001i	−0.281680	−	0.487884i	0.690119	−	0.723696i	$-0.257558\pi$
$277$	−4.68809	−	8.12001i	−0.281680	−	0.487884i	−0.971799	+	0.235812i	$0.924225\pi$
$278$	5.31875	+	3.07078i	0.318997	+	0.184173i
$279$		−	5.30709i		−	0.317727i
$280$	−0.100563	−	4.94356i	−0.00600978	−	0.295434i
$281$		−	17.7754i		−	1.06039i	−0.847876	−	0.530195i	$-0.822119\pi$
$281$		−	17.7754i		−	1.06039i	0.847876	−	0.530195i	$-0.177881\pi$
$282$	−1.51892	+	2.63085i	−0.0904505	+	0.156665i
$283$	−4.80331	−	8.31958i	−0.285527	−	0.494548i	0.687210	−	0.726459i	$-0.258835\pi$
$283$	−4.80331	−	8.31958i	−0.285527	−	0.494548i	−0.972737	+	0.231911i	$0.925502\pi$
$284$	−6.15643	+	3.55442i	−0.365317	+	0.210916i
$285$	2.06556	−	3.57766i	0.122353	−	0.211922i
$286$	−3.74003	−	6.07814i	−0.221153	−	0.359408i
$287$	10.3424	+	17.1007i	0.610494	+	1.00942i
$288$			3.21380i			0.189375i
$289$	−0.868875	+	1.50494i	−0.0511103	+	0.0885256i
$290$	1.71981	+	2.97879i	0.100990	+	0.174921i
$291$	−8.32284	+	4.80519i	−0.487894	+	0.281685i
$292$	14.9486	+	8.63060i	0.874803	+	0.505067i
$293$		−	11.6338i		−	0.679654i	−0.940488	−	0.339827i	$-0.889631\pi$
$293$		−	11.6338i		−	0.679654i	0.940488	−	0.339827i	$-0.110369\pi$
$294$	−3.00808	−	1.57722i	−0.175435	−	0.0919855i
$295$	−1.23044			−0.0716392
$296$	−5.18976	+	8.98892i	−0.301648	+	0.522470i
$297$	29.1282	−	16.8172i	1.69019	−	0.975830i
$298$	−0.511991	−	0.886795i	−0.0296588	−	0.0513706i
$299$	−1.94682	+	0.0545500i	−0.112588	+	0.00315471i
$300$	8.02744			0.463464
$301$	−9.61796	+	5.81690i	−0.554370	+	0.335281i
$302$	0.847174			0.0487494
$303$	−0.0516993	+	0.0895459i	−0.00297005	+	0.00514427i
$304$	−5.67809	+	3.27825i	−0.325661	+	0.188020i
$305$	−8.48700	+	4.89997i	−0.485964	+	0.280572i
$306$	1.08262	+	0.625050i	0.0618892	+	0.0357317i
$307$			13.8280i			0.789204i	0.918852	+	0.394602i	$0.129118\pi$
$307$			13.8280i			0.789204i	−0.918852	+	0.394602i	$0.870882\pi$
$308$	29.7650	−	0.605485i	1.69602	−	0.0345007i
$309$	−9.25275			−0.526371
$310$	2.54163	+	1.46741i	0.144355	+	0.0833435i
$311$	15.3572	+	26.5994i	0.870827	+	1.50832i	0.861143	+	0.508363i	$0.169749\pi$
$311$	15.3572	+	26.5994i	0.870827	+	1.50832i	0.00968369	+	0.999953i	$0.496918\pi$
$312$	−5.98593	−	3.23590i	−0.338886	−	0.183197i
$313$	−5.54334	+	9.60135i	−0.313328	+	0.542701i	−0.979081	−	0.203472i	$-0.934777\pi$
$313$	−5.54334	+	9.60135i	−0.313328	+	0.542701i	0.665752	+	0.746173i	$0.268111\pi$
$314$			3.12733i			0.176486i
$315$	1.60274	−	2.91120i	0.0903042	−	0.164028i
$316$	−0.247764			−0.0139378
$317$	−20.6836	−	11.9417i	−1.16171	−	0.670712i	−0.209994	−	0.977703i	$-0.567344\pi$
$317$	−20.6836	−	11.9417i	−1.16171	−	0.670712i	−0.951712	+	0.306991i	$0.900678\pi$
$318$	1.16778	−	0.674218i	0.0654858	−	0.0378083i
$319$	−36.9190	+	21.3152i	−2.06707	+	1.19342i
$320$	6.84731	+	3.95329i	0.382776	+	0.220996i
$321$	11.3130			0.631433
$322$	−0.229089	+	0.416116i	−0.0127666	+	0.0231892i
$323$			8.47360i			0.471484i
$324$	5.32698	−	9.22661i	0.295944	−	0.512589i
$325$	4.98982	−	9.23041i	0.276785	−	0.512011i
$326$	−0.115526	−	0.200098i	−0.00639842	−	0.0110824i
$327$	−0.0424313	−	0.0244977i	−0.00234646	−	0.00135473i
$328$	9.76519			0.539192
$329$	−16.5612	+	0.336891i	−0.913048	+	0.0185734i
$330$			4.17716i			0.229945i
$331$	−15.8690	−	9.16200i	−0.872241	−	0.503589i	−0.00414903	−	0.999991i	$-0.501321\pi$
$331$	−15.8690	−	9.16200i	−0.872241	−	0.503589i	−0.868092	+	0.496403i	$0.834654\pi$
$332$	−4.36606	+	2.52075i	−0.239619	+	0.138344i
$333$	−6.04142	+	3.48802i	−0.331068	+	0.191142i
$334$	−2.32396	+	4.02522i	−0.127162	+	0.220250i
$335$	1.42698			0.0779643
$336$	11.0694	−	6.69475i	0.603888	−	0.365229i
$337$	7.21762			0.393169			0.196584	−	0.980487i	$-0.437015\pi$
$337$	7.21762			0.393169			0.196584	+	0.980487i	$0.437015\pi$
$338$	−3.61514	+	2.36659i	−0.196638	+	0.128725i
$339$	6.71516	+	11.6310i	0.364717	+	0.631709i
$340$	10.2399	−	5.91203i	0.555338	−	0.320625i
$341$	−18.1870	+	31.5009i	−0.984884	+	1.70587i
$342$	0.565321			0.0305691
$343$	−1.12937	−	18.4858i	−0.0609804	−	0.998139i
$344$			5.49224i			0.296122i
$345$	0.987221	+	0.569972i	0.0531502	+	0.0306863i
$346$	−1.56487	+	0.903476i	−0.0841277	+	0.0485712i
$347$	10.5391	+	18.2543i	0.565770	+	0.979942i	0.996978	+	0.0776892i	$0.0247542\pi$
$347$	10.5391	+	18.2543i	0.565770	+	0.979942i	−0.431208	+	0.902253i	$0.641912\pi$
$348$	−9.87310	+	17.1007i	−0.529254	+	0.916694i
$349$		−	30.7629i		−	1.64670i	−0.567534	−	0.823350i	$-0.692102\pi$
$349$		−	30.7629i		−	1.64670i	0.567534	−	0.823350i	$-0.307898\pi$
$350$	−1.32439	−	2.18982i	−0.0707917	−	0.117051i
$351$	−10.6719	−	17.3435i	−0.569624	−	0.925730i
$352$	11.0135	−	19.0760i	0.587022	−	1.01675i
$353$	−5.30157	+	3.06086i	−0.282174	+	0.162913i	−0.634407	−	0.772999i	$-0.718756\pi$
$353$	−5.30157	+	3.06086i	−0.282174	+	0.162913i	0.352233	+	0.935912i	$0.385422\pi$
$354$	0.206495	+	0.357660i	0.0109751	+	0.0190094i
$355$	2.71938	−	4.71010i	0.144330	−	0.249986i
$356$			18.3613i			0.973145i
$357$	−0.340033	−	16.7156i	−0.0179964	−	0.884684i
$358$			1.78095i			0.0941259i
$359$	16.8257	+	9.71433i	0.888028	+	0.512703i	0.873297	−	0.487189i	$-0.161978\pi$
$359$	16.8257	+	9.71433i	0.888028	+	0.512703i	0.0147308	+	0.999891i	$0.495311\pi$
$360$	−0.811909	−	1.40627i	−0.0427914	−	0.0741168i
$361$	−7.58403	−	13.1359i	−0.399160	−	0.691365i
$362$	−2.17040	−	1.25308i	−0.114074	−	0.0658605i
$363$	−35.7133			−1.87446
$364$	−0.871204	−	18.0039i	−0.0456635	−	0.943659i
$365$	−13.2060			−0.691235
$366$	2.84861	+	1.64465i	0.148899	+	0.0859670i
$367$	2.70234	+	4.68058i	0.141061	+	0.244324i	0.927896	−	0.372838i	$-0.121615\pi$
$367$	2.70234	+	4.68058i	0.141061	+	0.244324i	−0.786836	+	0.617163i	$0.788282\pi$
$368$	−0.904601	−	1.56681i	−0.0471556	−	0.0816758i
$369$	5.68385	+	3.28158i	0.295890	+	0.170832i
$370$		−	3.85776i		−	0.200555i
$371$	6.44106	+	3.54608i	0.334403	+	0.184103i
$372$			16.8483i			0.873544i
$373$	−8.12533	+	14.0735i	−0.420714	+	0.728698i	−0.996009	−	0.0892478i	$-0.971554\pi$
$373$	−8.12533	+	14.0735i	−0.420714	+	0.728698i	0.575296	+	0.817946i	$0.304887\pi$
$374$	−4.28401	−	7.42013i	−0.221521	−	0.383686i
$375$	−14.4569	+	8.34671i	−0.746553	+	0.431022i
$376$	−4.04695	+	7.00952i	−0.208706	+	0.361489i
$377$	13.5263	+	21.9824i	0.696640	+	1.13215i
$378$	−4.96566	+	0.101013i	−0.255406	+	0.00519553i
$379$		−	25.1730i		−	1.29305i	−0.762893	−	0.646525i	$-0.776222\pi$
$379$		−	25.1730i		−	1.29305i	0.762893	−	0.646525i	$-0.223778\pi$
$380$	2.67354	−	4.63071i	0.137150	−	0.237550i
$381$	10.5073	+	18.1992i	0.538306	+	0.932373i
$382$	−3.89925	+	2.25123i	−0.199503	+	0.115183i
$383$	3.30335	+	1.90719i	0.168793	+	0.0974529i	0.582017	−	0.813177i	$-0.302264\pi$
$383$	3.30335	+	1.90719i	0.168793	+	0.0974529i	−0.413223	+	0.910630i	$0.635597\pi$
$384$		−	13.4531i		−	0.686527i
$385$	−19.4898	+	11.7873i	−0.993291	+	0.600738i
$386$	6.16764			0.313924
$387$	−1.84566	+	3.19677i	−0.0938201	+	0.162501i
$388$	−10.7726	+	6.21956i	−0.546895	+	0.315750i
$389$	−1.43548	−	2.48632i	−0.0727817	−	0.126062i	0.827338	−	0.561705i	$-0.189854\pi$
$389$	−1.43548	−	2.48632i	−0.0727817	−	0.126062i	−0.900119	+	0.435643i	$0.856521\pi$
$390$	2.52807	−	0.0708367i	0.128014	−	0.00358695i
$391$	−2.33821			−0.118248
$392$	−8.01461	−	4.20228i	−0.404799	−	0.212247i
$393$	−13.8222			−0.697236
$394$	−0.443409	+	0.768007i	−0.0223386	+	0.0386917i
$395$	0.164161	−	0.0947786i	0.00825986	−	0.00476883i
$396$	8.46709	−	4.88848i	0.425487	−	0.245655i
$397$	16.5570	+	9.55919i	0.830972	+	0.479762i	0.854185	−	0.519968i	$-0.174056\pi$
$397$	16.5570	+	9.55919i	0.830972	+	0.479762i	−0.0232131	+	0.999731i	$0.507390\pi$
$398$			6.71394i			0.336539i
$399$	−3.91274	−	6.46953i	−0.195882	−	0.323882i
$400$	9.74725			0.487362
$401$	−2.59655	−	1.49912i	−0.129666	−	0.0748625i	0.433764	−	0.901026i	$-0.357185\pi$
$401$	−2.59655	−	1.49912i	−0.129666	−	0.0748625i	−0.563430	+	0.826164i	$0.690518\pi$
$402$	−0.239479	−	0.414789i	−0.0119441	−	0.0206878i
$403$	19.3732	+	10.4728i	0.965045	+	0.521689i
$404$	−0.0669165	+	0.115903i	−0.00332922	+	0.00576638i
$405$			8.15104i			0.405028i
$406$	6.29382	−	0.128030i	0.312357	−	0.00635403i
$407$	47.8129			2.37000
$408$	−7.07489	−	4.08469i	−0.350259	−	0.202222i
$409$	29.5146	−	17.0403i	1.45940	−	0.842587i	0.460422	−	0.887700i	$-0.347698\pi$
$409$	29.5146	−	17.0403i	1.45940	−	0.842587i	0.998982	+	0.0451127i	$0.0143647\pi$
$410$	−3.14318	+	1.81472i	−0.155231	+	0.0896224i
$411$	−20.9946	−	12.1212i	−1.03559	−	0.597896i
$412$	−11.9762			−0.590026
$413$	−1.08607	+	1.97273i	−0.0534421	+	0.0970717i
$414$			0.155995i			0.00766674i
$415$	1.92855	−	3.34034i	0.0946687	−	0.163971i
$416$	−11.7318	−	6.34202i	−0.575198	−	0.310943i
$417$	−13.4873	−	23.3606i	−0.660475	−	1.14398i
$418$	−3.35554	−	1.93732i	−0.164125	−	0.0947574i
$419$	34.7759			1.69891			0.849457	−	0.527657i	$-0.176929\pi$
$419$	34.7759			1.69891			0.849457	+	0.527657i	$0.176929\pi$
$420$	−5.08819	+	9.24215i	−0.248278	+	0.450971i
$421$			24.1400i			1.17651i	0.808674	+	0.588257i	$0.200186\pi$
$421$			24.1400i			1.17651i	−0.808674	+	0.588257i	$0.799814\pi$
$422$	3.77848	+	2.18151i	0.183933	+	0.106194i
$423$	−4.71108	+	2.71994i	−0.229060	+	0.132248i
$424$	3.11138	−	1.79636i	0.151102	−	0.0872388i
$425$	6.29866	−	10.9096i	0.305530	−	0.529193i
$426$	−1.82549			−0.0884451
$427$	0.364776	+	17.9320i	0.0176528	+	0.867789i
$428$	14.6429			0.707793
$429$	0.877946	+	31.3328i	0.0423876	+	1.51276i
$430$	−1.02065	−	1.76782i	−0.0492202	−	0.0852519i
$431$	4.12641	−	2.38238i	0.198762	−	0.114755i	−0.397316	−	0.917682i	$-0.630058\pi$
$431$	4.12641	−	2.38238i	0.198762	−	0.114755i	0.596078	+	0.802927i	$0.296725\pi$
$432$	9.45848	−	16.3826i	0.455071	−	0.788207i
$433$	−22.0231			−1.05836			−0.529181	−	0.848509i	$-0.677501\pi$
$433$	−22.0231			−1.05836			−0.529181	+	0.848509i	$0.677501\pi$
$434$	4.59607	−	2.77968i	0.220618	−	0.133429i
$435$		−	15.1072i		−	0.724337i
$436$	−0.0549206	−	0.0317084i	−0.00263022	−	0.00151856i
$437$	−0.915724	+	0.528693i	−0.0438050	+	0.0252908i
$438$	2.21626	+	3.83868i	0.105897	+	0.183419i
$439$	1.71620	−	2.97254i	0.0819097	−	0.141872i	−0.822161	−	0.569256i	$-0.807231\pi$
$439$	1.71620	−	2.97254i	0.0819097	−	0.141872i	0.904070	+	0.427384i	$0.140565\pi$
$440$			11.1294i			0.530576i
$441$	−3.25275	−	5.13924i	−0.154893	−	0.244726i
$442$	−4.41811	+	2.71857i	−0.210148	+	0.129309i
$443$	4.35297	−	7.53957i	0.206816	−	0.358216i	−0.743894	−	0.668298i	$-0.767023\pi$
$443$	4.35297	−	7.53957i	0.206816	−	0.358216i	0.950710	+	0.310082i	$0.100357\pi$
$444$	19.1796	−	11.0733i	0.910223	−	0.525518i
$445$	−7.02383	−	12.1656i	−0.332962	−	0.576706i
$446$	−0.369491	+	0.639977i	−0.0174959	+	0.0303038i
$447$			4.49747i			0.212723i
$448$	12.3821	−	7.48862i	0.584998	−	0.353804i
$449$		−	17.6120i		−	0.831159i	−0.909557	−	0.415580i	$-0.863579\pi$
$449$		−	17.6120i		−	0.831159i	0.909557	−	0.415580i	$-0.136421\pi$
$450$	−0.727841	−	0.420219i	−0.0343107	−	0.0198093i
$451$	−22.4915	−	38.9564i	−1.05908	−	1.83439i
$452$	8.69170	+	15.0545i	0.408823	+	0.708102i
$453$	−3.22240	−	1.86045i	−0.151401	−	0.0874116i
$454$	−9.00887			−0.422807
$455$	7.46435	+	11.5956i	0.349934	+	0.543609i
$456$	−3.69436			−0.173004
$457$	7.85717	+	4.53634i	0.367543	+	0.212201i	0.672384	−	0.740202i	$-0.265270\pi$
$457$	7.85717	+	4.53634i	0.367543	+	0.212201i	−0.304842	+	0.952403i	$0.598604\pi$
$458$	3.15570	+	5.46583i	0.147456	+	0.255401i
$459$	−12.2241	−	21.1728i	−0.570573	−	0.988262i
$460$	1.27780	+	0.737738i	0.0595777	+	0.0343972i
$461$			6.58319i			0.306610i	0.988179	+	0.153305i	$0.0489917\pi$
$461$			6.58319i			0.306610i	−0.988179	+	0.153305i	$0.951008\pi$
$462$	6.69711	+	3.68704i	0.311578	+	0.171537i
$463$		−	3.47344i		−	0.161424i	−0.996737	−	0.0807121i	$-0.974281\pi$
$463$		−	3.47344i		−	0.161424i	0.996737	−	0.0807121i	$-0.0257194\pi$
$464$	−11.9883	+	20.7644i	−0.556544	+	0.963962i
$465$	−6.44507	−	11.1632i	−0.298883	−	0.517681i
$466$	6.25777	−	3.61293i	0.289886	−	0.167366i
$467$	14.8927	−	25.7949i	0.689152	−	1.19365i	−0.282960	−	0.959132i	$-0.591316\pi$
$467$	14.8927	−	25.7949i	0.689152	−	1.19365i	0.972112	−	0.234515i	$-0.0753502\pi$
$468$	−3.10215	−	5.04149i	−0.143397	−	0.233043i
$469$	1.25955	−	2.28783i	0.0581606	−	0.105642i
$470$		−	3.00826i		−	0.138761i
$471$	6.86783	−	11.8954i	0.316453	−	0.548113i
$472$	0.550177	+	0.952935i	0.0253240	+	0.0438624i
$473$	21.9103	−	12.6499i	1.00744	−	0.581643i
$474$	−0.0550998	−	0.0318119i	−0.00253082	−	0.00146117i
$475$		−	5.69677i		−	0.261386i
$476$	−0.440118	−	21.6357i	−0.0201728	−	0.991671i
$477$	2.41465			0.110559
$478$	3.31869	−	5.74814i	0.151793	−	0.262914i
$479$	−30.4715	+	17.5927i	−1.39228	+	0.803833i	−0.993567	−	0.113243i	$-0.963876\pi$
$479$	−30.4715	+	17.5927i	−1.39228	+	0.803833i	−0.398712	+	0.917076i	$0.630543\pi$
$480$	3.90294	+	6.76008i	0.178144	+	0.308554i
$481$	−0.810814	−	28.9369i	−0.0369700	−	1.31941i
$482$	1.07373			0.0489072
$483$	1.78520	−	1.07968i	0.0812296	−	0.0491273i
$484$	−46.2252			−2.10115
$485$	4.75840	−	8.24179i	0.216068	−	0.374241i
$486$	−2.50788	+	1.44793i	−0.113760	+	0.0656792i
$487$	−1.56018	+	0.900769i	−0.0706984	+	0.0408178i	−0.534933	−	0.844895i	$-0.679663\pi$
$487$	−1.56018	+	0.900769i	−0.0706984	+	0.0408178i	0.464234	+	0.885713i	$0.346330\pi$
$488$	7.58971	+	4.38192i	0.343570	+	0.198360i
$489$			1.01482i			0.0458916i
$490$	3.36064	−	0.136782i	0.151818	−	0.00617920i
$491$	8.19322			0.369755			0.184877	−	0.982762i	$-0.440811\pi$
$491$	8.19322			0.369755			0.184877	+	0.982762i	$0.440811\pi$
$492$	−18.0444	−	10.4180i	−0.813506	−	0.469678i
$493$	15.4937	+	26.8358i	0.697800	+	1.20863i
$494$	−1.11559	+	2.06367i	−0.0501926	+	0.0928487i
$495$	−3.74003	+	6.47792i	−0.168102	+	0.291161i
$496$			20.4579i			0.918587i
$497$	−5.15125	−	8.51734i	−0.231065	−	0.382055i
$498$	−1.29461			−0.0580129
$499$	31.6242	+	18.2582i	1.41569	+	0.817350i	0.995917	−	0.0902781i	$-0.0287756\pi$
$499$	31.6242	+	18.2582i	1.41569	+	0.817350i	0.419775	+	0.907628i	$0.362109\pi$
$500$	−18.7122	+	10.8035i	−0.836834	+	0.483147i
$501$	17.6793	−	10.2072i	0.789854	−	0.456022i
$502$	−3.59566	−	2.07596i	−0.160482	−	0.0926545i
$503$	−3.02972			−0.135089			−0.0675443	−	0.997716i	$-0.521516\pi$
$503$	−3.02972			−0.135089			−0.0675443	+	0.997716i	$0.521516\pi$
$504$	−2.97127	+	0.0604422i	−0.132351	+	0.00269231i
$505$		−	0.102392i		−	0.00455637i
$506$	0.534585	−	0.925928i	0.0237652	−	0.0411625i
$507$	18.9481	−	1.06269i	0.841515	−	0.0471956i
$508$	13.6000	+	23.5559i	0.603404	+	1.04513i
$509$	−25.4133	−	14.6724i	−1.12642	−	0.650341i	−0.183391	−	0.983040i	$-0.558707\pi$
$509$	−25.4133	−	14.6724i	−1.12642	−	0.650341i	−0.943033	+	0.332699i	$0.892041\pi$
$510$	3.03631			0.134450
$511$	−11.6565	+	21.1728i	−0.515654	+	0.936630i
$512$		−	21.0487i		−	0.930229i
$513$	−9.57479	−	5.52800i	−0.422737	−	0.244067i
$514$	1.67744	−	0.968471i	0.0739887	−	0.0427174i
$515$	7.93509	−	4.58133i	0.349662	−	0.201877i
$516$	5.85938	−	10.1487i	0.257945	−	0.446773i
$517$	37.2843			1.63976
$518$	−6.18502	−	3.40511i	−0.271754	−	0.149612i
$519$	7.93637			0.348368
$520$	6.73568	−	0.188734i	0.295379	−	0.00827654i
$521$	14.8419	+	25.7069i	0.650236	+	1.12624i	0.983066	+	0.183254i	$0.0586632\pi$
$521$	14.8419	+	25.7069i	0.650236	+	1.12624i	−0.332830	+	0.942987i	$0.608003\pi$
$522$	1.79037	−	1.03367i	0.0783624	−	0.0452425i
$523$	−10.2864	+	17.8165i	−0.449791	+	0.779062i	−0.998372	−	0.0570361i	$-0.981835\pi$
$523$	−10.2864	+	17.8165i	−0.449791	+	0.779062i	0.548581	+	0.836098i	$0.315168\pi$
$524$	−17.8906			−0.781553
$525$	0.228603	+	11.2379i	0.00997704	+	0.490460i
$526$		−	5.82146i		−	0.253828i
$527$	22.8975	+	13.2199i	0.997431	+	0.575867i
$528$	−25.2168	+	14.5590i	−1.09742	+	0.633597i
$529$	11.3541	+	19.6659i	0.493657	+	0.855039i
$530$	−0.667652	+	1.15641i	−0.0290010	+	0.0502311i
$531$			0.739544i			0.0320935i
$532$	−5.06442	−	8.37377i	−0.219571	−	0.363049i
$533$	−23.1955	+	14.2728i	−1.00471	+	0.618222i
$534$	−2.35751	+	4.08332i	−0.102019	+	0.176703i
$535$	−9.70198	+	5.60144i	−0.419453	+	0.242171i
$536$	−0.638057	−	1.10515i	−0.0275599	−	0.0477351i
$537$	3.91108	−	6.77419i	0.168775	−	0.292328i
$538$		−	7.42151i		−	0.319964i
$539$	1.69527	+	41.6516i	0.0730206	+	1.79406i
$540$			15.4275i			0.663896i
$541$	−29.5027	−	17.0334i	−1.26842	−	0.732324i	−0.293732	−	0.955888i	$-0.594897\pi$
$541$	−29.5027	−	17.0334i	−1.26842	−	0.732324i	−0.974689	+	0.223564i	$0.928231\pi$
$542$	4.38228	+	7.59034i	0.188235	+	0.326033i
$543$	5.50371	+	9.53270i	0.236187	+	0.409087i
$544$	−13.8660	−	8.00555i	−0.594500	−	0.343235i
$545$	0.0485183			0.00207830
$546$	2.11787	−	4.11570i	0.0906366	−	0.176136i
$547$	−0.850931			−0.0363832			−0.0181916	−	0.999835i	$-0.505791\pi$
$547$	−0.850931			−0.0363832			−0.0181916	+	0.999835i	$0.505791\pi$
$548$	−27.1741	−	15.6890i	−1.16082	−	0.670200i
$549$	2.94507	+	5.10102i	0.125693	+	0.217706i
$550$	2.88013	+	4.98853i	0.122809	+	0.212712i
$551$	12.1357	+	7.00657i	0.516999	+	0.298490i
$552$		−	1.01942i		−	0.0433895i
$553$	−0.00705575	−	0.346853i	−0.000300041	−	0.0147497i
$554$		−	3.11641i		−	0.132404i
$555$	−8.47189	+	14.6737i	−0.359612	+	0.622866i
$556$	−17.4571	−	30.2366i	−0.740347	−	1.28232i
$557$	−15.3530	+	8.86404i	−0.650526	+	0.375581i	−0.788658	−	0.614833i	$-0.789224\pi$
$557$	−15.3530	+	8.86404i	−0.650526	+	0.375581i	0.138132	+	0.990414i	$0.455890\pi$
$558$	0.881972	−	1.52762i	0.0373369	−	0.0646694i
$559$	−8.02744	−	13.0459i	−0.339525	−	0.551781i
$560$	−6.17829	+	11.2222i	−0.261080	+	0.474224i
$561$			37.6319i			1.58882i
$562$	2.95405	−	5.11656i	0.124609	−	0.215829i
$563$	−12.0903	−	20.9410i	−0.509545	−	0.882558i	−0.999939	−	0.0110571i	$-0.996480\pi$
$563$	−12.0903	−	20.9410i	−0.509545	−	0.882558i	0.490394	−	0.871501i	$-0.336853\pi$
$564$	14.9562	−	8.63495i	0.629768	−	0.363597i
$565$	−11.5177	−	6.64976i	−0.484555	−	0.279758i
$566$		−	3.19301i		−	0.134212i
$567$	13.0683	+	7.19465i	0.548817	+	0.302147i
$568$	−4.86375			−0.204078
$569$	−21.3874	+	37.0441i	−0.896608	+	1.55297i	−0.0648066	+	0.997898i	$0.520643\pi$
$569$	−21.3874	+	37.0441i	−0.896608	+	1.55297i	−0.831802	+	0.555073i	$0.812690\pi$
$570$	1.18913	−	0.686542i	0.0498070	−	0.0287561i
$571$	3.68140	+	6.37637i	0.154062	+	0.266843i	0.932717	−	0.360609i	$-0.117431\pi$
$571$	3.68140	+	6.37637i	0.154062	+	0.266843i	−0.778655	+	0.627452i	$0.784098\pi$
$572$	1.13636	+	40.5553i	0.0475137	+	1.69570i
$573$	19.7754			0.826131
$574$	0.135096	+	6.64115i	0.00563878	+	0.277196i
$575$	1.57197			0.0655557
$576$	2.37608	−	4.11550i	0.0990035	−	0.171479i
$577$	7.09615	−	4.09696i	0.295417	−	0.170559i	−0.344965	−	0.938615i	$-0.612109\pi$
$577$	7.09615	−	4.09696i	0.295417	−	0.170559i	0.640382	+	0.768057i	$0.278776\pi$
$578$	−0.500204	+	0.288793i	−0.0208057	+	0.0120122i
$579$	−23.4598	−	13.5445i	−0.974957	−	0.562892i
$580$		−	19.5539i		−	0.811932i
$581$	−3.65320	−	6.04039i	−0.151560	−	0.250598i
$582$	−3.19426			−0.132406
$583$	−14.3325	−	8.27485i	−0.593590	−	0.342709i
$584$	5.90491	+	10.2276i	0.244347	+	0.423221i
$585$	3.98394	+	2.15366i	0.164716	+	0.0890429i
$586$	1.93339	−	3.34874i	0.0798678	−	0.138335i
$587$		−	39.1141i		−	1.61441i	−0.590271	−	0.807205i	$-0.700979\pi$
$587$		−	39.1141i		−	1.61441i	0.590271	−	0.807205i	$-0.299021\pi$
$588$	10.3265	+	16.3155i	0.425856	+	0.672838i
$589$	11.9566			0.492664
$590$	−0.354178	−	0.204485i	−0.0145813	−	0.00841849i
$591$	3.37319	−	1.94751i	0.138755	−	0.0801100i
$592$	23.2886	−	13.4457i	0.957158	−	0.552615i
$593$	1.05082	+	0.606691i	0.0431520	+	0.0249138i	0.521421	−	0.853300i	$-0.325402\pi$
$593$	1.05082	+	0.606691i	0.0431520	+	0.0249138i	−0.478269	+	0.878213i	$0.658736\pi$
$594$	11.1792			0.458689
$595$	8.56803	+	14.1668i	0.351255	+	0.580783i
$596$			5.82125i			0.238448i
$597$	14.7443	−	25.5378i	0.603442	−	1.04519i
$598$	−0.569449	−	0.307836i	−0.0232865	−	0.0125883i
$599$	−16.3319	−	28.2877i	−0.667303	−	1.15580i	−0.978655	−	0.205508i	$-0.934115\pi$
$599$	−16.3319	−	28.2877i	−0.667303	−	1.15580i	0.311352	−	0.950295i	$-0.399218\pi$
$600$	4.75642	+	2.74612i	0.194180	+	0.112110i
$601$	2.50114			0.102024			0.0510118	−	0.998698i	$-0.483755\pi$
$601$	2.50114			0.102024			0.0510118	+	0.998698i	$0.483755\pi$
$602$	−3.73519	+	0.0759819i	−0.152235	+	0.00309679i
$603$		−	0.857671i		−	0.0349271i
$604$	−4.17088	−	2.40806i	−0.169711	−	0.0979825i
$605$	30.6275	−	17.6828i	1.24518	−	0.718907i
$606$	−0.0297628	+	0.0171836i	−0.00120903	+	0.000698035i
$607$	−6.32282	+	10.9515i	−0.256635	+	0.444506i	−0.965338	−	0.261001i	$-0.915947\pi$
$607$	−6.32282	+	10.9515i	−0.256635	+	0.444506i	0.708703	+	0.705507i	$0.249281\pi$
$608$	−7.24055			−0.293643
$609$	−24.2209	−	13.3347i	−0.981482	−	0.540347i
$610$	−3.25726			−0.131883
$611$	−0.632270	−	22.5649i	−0.0255789	−	0.912879i
$612$	−3.55336	−	6.15460i	−0.143636	−	0.248785i
$613$	−17.3448	+	10.0140i	−0.700548	+	0.404462i	−0.807552	−	0.589797i	$-0.799208\pi$
$613$	−17.3448	+	10.0140i	−0.700548	+	0.404462i	0.107003	+	0.994259i	$0.465874\pi$
$614$	−2.29804	+	3.98032i	−0.0927413	+	0.160633i
$615$	15.9409			0.642801
$616$	17.8435	+	9.82359i	0.718934	+	0.395804i
$617$			45.2926i			1.82341i	0.410846	+	0.911705i	$0.365233\pi$
$617$			45.2926i			1.82341i	−0.410846	+	0.911705i	$0.634767\pi$
$618$	−2.66336	−	1.53769i	−0.107136	−	0.0618551i
$619$	−3.83922	+	2.21658i	−0.154311	+	0.0890917i	−0.575167	−	0.818036i	$-0.695063\pi$
$619$	−3.83922	+	2.21658i	−0.154311	+	0.0890917i	0.420856	+	0.907127i	$0.361730\pi$
$620$	−8.34212	−	14.4490i	−0.335028	−	0.580285i
$621$	1.52540	−	2.64207i	0.0612122	−	0.106023i
$622$			10.2087i			0.409332i
$623$	−25.7045	+	0.522886i	−1.02983	+	0.0209490i
$624$	9.23889	+	15.0147i	0.369852	+	0.601067i
$625$	0.989985	−	1.71471i	0.0395994	−	0.0685882i
$626$	−3.19125	+	1.84247i	−0.127548	+	0.0736400i
$627$	8.50897	+	14.7380i	0.339816	+	0.588578i
$628$	8.88931	−	15.3967i	0.354722	−	0.614397i
$629$		−	34.7544i		−	1.38575i
$630$	0.945148	−	0.571621i	0.0376556	−	0.0227739i
$631$			19.7358i			0.785672i	0.919609	+	0.392836i	$0.128506\pi$
$631$			19.7358i			0.785672i	−0.919609	+	0.392836i	$0.871494\pi$
$632$	−0.146805	−	0.0847581i	−0.00583961	−	0.00337150i
$633$	−9.58147	−	16.5956i	−0.380829	−	0.659615i
$634$	−3.96912	−	6.87472i	−0.157634	−	0.273030i
$635$	−18.0220	−	10.4050i	−0.715180	−	0.412909i
$636$	−7.66574			−0.303967
$637$	25.1793	−	1.73233i	0.997642	−	0.0686375i
$638$	−14.1693			−0.560968
$639$	−2.83096	−	1.63445i	−0.111991	−	0.0646580i
$640$	6.66106	+	11.5373i	0.263302	+	0.456052i
$641$	19.8213	+	34.3314i	0.782893	+	1.35601i	0.930250	+	0.366926i	$0.119590\pi$
$641$	19.8213	+	34.3314i	0.782893	+	1.35601i	−0.147357	+	0.989083i	$0.547077\pi$
$642$	3.25641	+	1.88009i	0.128520	+	0.0742012i
$643$			20.8300i			0.821453i	0.911759	+	0.410727i	$0.134725\pi$
$643$			20.8300i			0.821453i	−0.911759	+	0.410727i	$0.865275\pi$
$644$	2.31066	−	1.39748i	0.0910529	−	0.0550684i
$645$			8.96568i			0.353023i
$646$	−1.40821	+	2.43909i	−0.0554052	+	0.0959646i
$647$	−7.87206	−	13.6348i	−0.309482	−	0.536039i	0.668767	−	0.743472i	$-0.266822\pi$
$647$	−7.87206	−	13.6348i	−0.309482	−	0.536039i	−0.978249	+	0.207433i	$0.933489\pi$
$648$	6.31269	−	3.64463i	0.247986	−	0.143175i
$649$	2.53437	−	4.38966i	0.0994828	−	0.172309i
$650$	2.97028	−	1.82769i	0.116504	−	0.0716877i
$651$	−23.5864	+	0.479800i	−0.924426	+	0.0188049i
$652$			1.31352i			0.0514413i
$653$	13.5132	−	23.4055i	0.528812	−	0.915930i	−0.470623	−	0.882334i	$-0.655971\pi$
$653$	13.5132	−	23.4055i	0.528812	−	0.915930i	0.999436	−	0.0335954i	$-0.0106958\pi$
$654$	−0.00814244	−	0.0141031i	−0.000318395	−	0.000551476i
$655$	11.8538	−	6.84378i	0.463165	−	0.267409i
$656$	−21.9103	−	12.6499i	−0.855453	−	0.493896i
$657$			7.93734i			0.309665i
$658$	−4.82305	−	2.65529i	−0.188022	−	0.103514i
$659$	−6.79491			−0.264692			−0.132346	−	0.991204i	$-0.542251\pi$
$659$	−6.79491			−0.264692			−0.132346	+	0.991204i	$0.542251\pi$
$660$	11.8734	−	20.5653i	0.462172	−	0.800505i
$661$	−6.23994	+	3.60263i	−0.242705	+	0.140126i	−0.616420	−	0.787418i	$-0.711417\pi$
$661$	−6.23994	+	3.60263i	−0.242705	+	0.140126i	0.373714	+	0.927544i	$0.378084\pi$
$662$	−3.04522	−	5.27448i	−0.118356	−	0.204998i
$663$	22.7753	−	0.638165i	0.884520	−	0.0247843i
$664$	−3.44930			−0.133859
$665$	6.55880	+	3.61090i	0.254339	+	0.140025i
$666$	−2.31866			−0.0898463
$667$	−1.93339	+	3.34874i	−0.0748613	+	0.129664i
$668$	22.8831	−	13.2115i	0.885372	−	0.511170i
$669$	2.81087	−	1.62285i	0.108674	−	0.0627432i
$670$	0.410750	+	0.237147i	0.0158687	+	0.00916178i
$671$		−	40.3703i		−	1.55848i
$672$	14.2832	−	0.290552i	0.550987	−	0.0112083i
$673$	−8.32130			−0.320763			−0.160381	−	0.987055i	$-0.551272\pi$
$673$	−8.32130			−0.320763			−0.160381	+	0.987055i	$0.551272\pi$
$674$	2.07756	+	1.19948i	0.0800246	+	0.0462022i
$675$	8.21824	+	14.2344i	0.316320	+	0.547883i
$676$	24.5253	−	1.37548i	0.943281	−	0.0529031i
$677$	14.9978	−	25.9770i	0.576413	−	0.998376i	−0.419474	−	0.907767i	$-0.637785\pi$
$677$	14.9978	−	25.9770i	0.576413	−	0.998376i	0.995887	−	0.0906086i	$-0.0288812\pi$
$678$			4.46391i			0.171435i
$679$	−9.01372	−	14.9037i	−0.345915	−	0.571953i
$680$	8.08982			0.310231
$681$	34.2671	+	19.7841i	1.31312	+	0.758128i
$682$	−10.4701	+	6.04493i	−0.400922	+	0.231472i
$683$	31.2496	−	18.0420i	1.19573	−	0.690356i	0.236132	−	0.971721i	$-0.424120\pi$
$683$	31.2496	−	18.0420i	1.19573	−	0.690356i	0.959601	+	0.281365i	$0.0907871\pi$
$684$	−2.78324	−	1.60690i	−0.106420	−	0.0614415i
$685$	24.0064			0.917236
$686$	2.74703	−	5.50874i	0.104882	−	0.210325i
$687$		−	27.7205i		−	1.05760i
$688$	7.11470	−	12.3230i	0.271245	−	0.469811i
$689$	−4.76499	+	8.81451i	−0.181532	+	0.335806i
$690$	0.189445	+	0.328128i	0.00721204	+	0.0124916i
$691$	22.3155	+	12.8838i	0.848920	+	0.490124i	0.860286	−	0.509811i	$-0.170285\pi$
$691$	22.3155	+	12.8838i	0.848920	+	0.490124i	−0.0113665	+	0.999935i	$0.503618\pi$
$692$	10.2724			0.390497
$693$	7.08465	+	11.7141i	0.269123	+	0.444983i
$694$			7.00589i			0.265940i
$695$	23.1332	+	13.3559i	0.877491	+	0.506620i
$696$	−11.7000	+	6.75501i	−0.443488	+	0.256048i
$697$	−28.3168	+	16.3487i	−1.07258	+	0.619252i
$698$	5.11242	−	8.85496i	0.193508	−	0.335165i
$699$	−31.7369			−1.20040
$700$	0.295890	+	14.5456i	0.0111836	+	0.549772i
$701$	−41.7872			−1.57828			−0.789141	−	0.614213i	$-0.789474\pi$
$701$	−41.7872			−1.57828			−0.789141	+	0.614213i	$0.789474\pi$
$702$	−0.189578	−	6.76580i	−0.00715516	−	0.255359i
$703$	−7.85834	−	13.6110i	−0.296383	−	0.513350i
$704$	−28.2071	+	16.2854i	−1.06310	+	0.613778i
$705$	−6.60635	+	11.4425i	−0.248809	+	0.430951i
$706$	−2.03471			−0.0765774
$707$	−0.164161	−	0.0903778i	−0.00617393	−	0.00339901i
$708$		−	2.34782i		−	0.0882364i
$709$	0.297781	+	0.171924i	0.0111834	+	0.00645673i	0.505581	−	0.862779i	$-0.331278\pi$
$709$	0.297781	+	0.171924i	0.0111834	+	0.00645673i	−0.494398	+	0.869236i	$0.664611\pi$
$710$	1.56552	−	0.903855i	0.0587530	−	0.0339211i
$711$	−0.0569657	−	0.0986674i	−0.00213638	−	0.00370032i
$712$	−6.28124	+	10.8794i	−0.235399	+	0.407724i
$713$			3.29931i			0.123560i
$714$	2.68005	−	4.86802i	0.100298	−	0.182181i
$715$	−16.2668	−	26.4361i	−0.608342	−	0.988652i
$716$	5.06227	−	8.76810i	0.189186	−	0.327679i
$717$	−25.2466	+	14.5761i	−0.942852	+	0.544356i
$718$	3.22881	+	5.59246i	0.120498	+	0.208709i
$719$	4.39005	−	7.60379i	0.163721	−	0.283574i	−0.772479	−	0.635040i	$-0.780984\pi$
$719$	4.39005	−	7.60379i	0.163721	−	0.283574i	0.936200	+	0.351467i	$0.114317\pi$
$720$			4.20702i			0.156786i
$721$	−0.341055	−	16.7659i	−0.0127015	−	0.624393i
$722$		−	5.04149i		−	0.187625i
$723$	−4.08416	−	2.35799i	−0.151891	−	0.0876946i
$724$	7.12367	+	12.3386i	0.264749	+	0.458559i
$725$	−10.4164	−	18.0416i	−0.386854	−	0.670050i
$726$	−10.2799	−	5.93512i	−0.381524	−	0.220273i
$727$	17.3658			0.644064			0.322032	−	0.946729i	$-0.395634\pi$
$727$	17.3658			0.644064			0.322032	+	0.946729i	$0.395634\pi$
$728$	5.64277	−	10.9657i	0.209135	−	0.406415i
$729$	29.6343			1.09757
$730$	−3.80130	−	2.19468i	−0.140692	−	0.0812288i
$731$	−9.19502	−	15.9262i	−0.340090	−	0.589053i
$732$	−9.34968	−	16.1941i	−0.345574	−	0.598552i
$733$	7.84528	+	4.52947i	0.289772	+	0.167300i	0.637839	−	0.770170i	$-0.279828\pi$
$733$	7.84528	+	4.52947i	0.289772	+	0.167300i	−0.348067	+	0.937470i	$0.613162\pi$
$734$			1.79638i			0.0663056i
$735$	−13.0833	−	6.85991i	−0.482583	−	0.253032i
$736$		−	1.99796i		−	0.0736458i
$737$	−2.93919	+	5.09082i	−0.108266	+	0.187523i
$738$	1.09071	+	1.88917i	0.0401498	+	0.0695414i
$739$	6.13010	−	3.53921i	0.225499	−	0.130192i	−0.382995	−	0.923751i	$-0.625107\pi$
$739$	6.13010	−	3.53921i	0.225499	−	0.130192i	0.608494	+	0.793558i	$0.291774\pi$
$740$	−10.9655	+	18.9928i	−0.403100	+	0.698190i
$741$	8.77531	−	5.39966i	0.322369	−	0.198362i
$742$	1.26472	+	2.09115i	0.0464292	+	0.0767685i
$743$		−	14.6779i		−	0.538479i	−0.963073	−	0.269240i	$-0.913228\pi$
$743$		−	14.6779i		−	0.538479i	0.963073	−	0.269240i	$-0.0867724\pi$
$744$	−5.76367	+	9.98297i	−0.211306	+	0.365993i
$745$	−2.22684	−	3.85699i	−0.0815849	−	0.141309i
$746$	−4.67768	+	2.70066i	−0.171262	+	0.0988782i
$747$	−2.00768	−	1.15913i	−0.0734571	−	0.0424105i
$748$			48.7085i			1.78096i
$749$	0.416997	+	20.4991i	0.0152367	+	0.749020i
$750$	−5.54848			−0.202602
$751$	−15.8556	+	27.4628i	−0.578580	+	1.00213i	0.417062	+	0.908878i	$0.363060\pi$
$751$	−15.8556	+	27.4628i	−0.578580	+	1.00213i	−0.995643	+	0.0932523i	$0.970274\pi$
$752$	18.1604	−	10.4849i	0.662241	−	0.382345i
$753$	9.11788	+	15.7926i	0.332274	+	0.575516i
$754$	0.240284	+	8.57543i	0.00875063	+	0.312299i
$755$	3.68467			0.134099
$756$	24.7345	+	13.6174i	0.899585	+	0.495259i
$757$	15.5317			0.564510			0.282255	−	0.959339i	$-0.408918\pi$
$757$	15.5317			0.564510			0.282255	+	0.959339i	$0.408918\pi$
$758$	4.18344	−	7.24593i	0.151949	−	0.263184i
$759$	−4.06680	+	2.34797i	−0.147616	+	0.0852259i
$760$	3.16825	−	1.82919i	0.114925	−	0.0663518i
$761$	0.216826	+	0.125185i	0.00785993	+	0.00453794i	0.503925	−	0.863748i	$-0.331889\pi$
$761$	0.216826	+	0.125185i	0.00785993	+	0.00453794i	−0.496065	+	0.868285i	$0.665222\pi$
$762$			6.98474i			0.253030i
$763$	0.0428255	−	0.0777879i	0.00155039	−	0.00281611i
$764$	25.5961			0.926036
$765$	4.70870	+	2.71857i	0.170243	+	0.0982901i
$766$	0.633903	+	1.09795i	0.0229039	+	0.0396706i
$767$	−2.69966	−	1.45939i	−0.0974789	−	0.0526956i
$768$	−5.74859	+	9.95686i	−0.207435	+	0.359287i
$769$		−	24.0146i		−	0.865988i	−0.901397	−	0.432994i	$-0.857457\pi$
$769$		−	24.0146i		−	0.865988i	0.901397	−	0.432994i	$-0.142543\pi$
$770$	−7.56896	+	0.153969i	−0.272766	+	0.00554867i
$771$	−8.50731			−0.306383
$772$	−30.3650	−	17.5312i	−1.09286	−	0.630963i
$773$	26.4192	−	15.2531i	0.950231	−	0.548616i	0.0570784	−	0.998370i	$-0.481821\pi$
$773$	26.4192	−	15.2531i	0.950231	−	0.548616i	0.893153	+	0.449753i	$0.148488\pi$
$774$	−1.06253	+	0.613451i	−0.0381918	+	0.0220501i
$775$	−15.3939	−	8.88768i	−0.552966	−	0.319255i
$776$	−8.51064			−0.305514
$777$	16.0481	+	26.5347i	0.575722	+	0.951928i
$778$		−	0.954237i		−	0.0342110i
$779$	−7.39323	+	12.8055i	−0.264890	+	0.458803i
$780$	−12.6478	−	6.83719i	−0.452862	−	0.244811i
$781$	11.2023	+	19.4030i	0.400851	+	0.694294i
$782$	−0.673043	−	0.388582i	−0.0240680	−	0.0138956i
$783$	−40.4311			−1.44489
$784$	12.5388	+	19.8109i	0.447815	+	0.707532i
$785$			13.6019i			0.485473i
$786$	−3.97865	−	2.29707i	−0.141914	−	0.0819339i
$787$	−17.1899	+	9.92461i	−0.612755	+	0.353774i	−0.774043	−	0.633133i	$-0.781769\pi$
$787$	−17.1899	+	9.92461i	−0.612755	+	0.353774i	0.161288	+	0.986907i	$0.448435\pi$
$788$	4.36606	−	2.52075i	0.155534	−	0.0897978i
$789$	−12.7843	+	22.1431i	−0.455134	+	0.788315i
$790$	0.0630042			0.00224159
$791$	−20.8277	+	12.5965i	−0.740547	+	0.447879i
$792$	6.68923			0.237691
$793$	−24.4326	+	0.684604i	−0.867628	+	0.0243110i
$794$	3.17724	+	5.50314i	0.112756	+	0.195299i
$795$	5.07910	−	2.93242i	0.180137	−	0.104002i
$796$	19.0841	−	33.0546i	0.676418	−	1.17159i
$797$	−52.2894			−1.85219			−0.926093	−	0.377296i	$-0.876854\pi$
$797$	−52.2894			−1.85219			−0.926093	+	0.377296i	$0.876854\pi$
$798$	−0.0511093	−	2.51248i	−0.00180925	−	0.0889407i
$799$		−	27.1014i		−	0.958777i
$800$	9.32207	+	5.38210i	0.329585	+	0.190286i
$801$	−7.31202	+	4.22160i	−0.258358	+	0.149163i
$802$	−0.498271	−	0.863031i	−0.0175946	−	0.0304747i
$803$	27.2008	−	47.1131i	0.959894	−	1.66259i
$804$			2.72283i			0.0960269i
$805$	−0.996393	+	1.80984i	−0.0351182	+	0.0637884i
$806$	3.83602	+	6.23414i	0.135118	+	0.219588i
$807$	−16.2981	+	28.2292i	−0.573722	+	0.993715i
$808$	−0.0792988	+	0.0457832i	−0.00278972	+	0.00161065i
$809$	1.18230	+	2.04780i	0.0415674	+	0.0719969i	0.886061	−	0.463569i	$-0.153432\pi$
$809$	1.18230	+	2.04780i	0.0415674	+	0.0719969i	−0.844493	+	0.535566i	$0.820098\pi$
$810$	−1.35460	+	2.34624i	−0.0475959	+	0.0824385i
$811$			23.6646i			0.830978i	0.909598	+	0.415489i	$0.136390\pi$
$811$			23.6646i			0.830978i	−0.909598	+	0.415489i	$0.863610\pi$
$812$	−31.3502	−	17.2596i	−1.10017	−	0.605693i
$813$		−	38.4952i		−	1.35008i
$814$	13.7627	+	7.94591i	0.482383	+	0.278504i
$815$	−0.502467	−	0.870298i	−0.0176006	−	0.0304852i
$816$	10.5827	+	18.3297i	0.370468	+	0.641669i
$817$	−7.20218	−	4.15818i	−0.251972	−	0.145476i
$818$	11.3275			0.396058
$819$	6.96939	−	4.48637i	0.243530	−	0.156766i
$820$	20.6330			0.720536
$821$	3.09823	+	1.78877i	0.108129	+	0.0624284i	0.553089	−	0.833122i	$-0.313449\pi$
$821$	3.09823	+	1.78877i	0.108129	+	0.0624284i	−0.444960	+	0.895550i	$0.646782\pi$
$822$	−4.02879	−	6.97808i	−0.140520	−	0.243388i
$823$	−14.9711	−	25.9307i	−0.521859	−	0.903887i	−0.999677	−	0.0254278i	$-0.991905\pi$
$823$	−14.9711	−	25.9307i	−0.521859	−	0.903887i	0.477817	−	0.878459i	$-0.341428\pi$
$824$	−7.09615	−	4.09696i	−0.247206	−	0.142725i
$825$		−	25.2998i		−	0.880827i
$826$	−0.640464	+	0.387350i	−0.0222846	+	0.0134776i
$827$			9.32620i			0.324304i	0.986766	+	0.162152i	$0.0518435\pi$
$827$			9.32620i			0.324304i	−0.986766	+	0.162152i	$0.948157\pi$
$828$	0.443409	−	0.768007i	0.0154095	−	0.0266901i
$829$	19.1134	+	33.1054i	0.663836	+	1.14980i	0.979599	+	0.200960i	$0.0644062\pi$
$829$	19.1134	+	33.1054i	0.663836	+	1.14980i	−0.315763	+	0.948838i	$0.602261\pi$
$830$	1.11025	−	0.641002i	0.0385373	−	0.0222495i
$831$	−6.84385	+	11.8539i	−0.237411	+	0.411207i
$832$	10.3345	+	16.7951i	0.358283	+	0.582266i
$833$	30.2759	−	1.23227i	1.04900	−	0.0426956i
$834$		−	8.96568i		−	0.310456i
$835$	−10.1078	+	17.5072i	−0.349794	+	0.605860i
$836$	11.0135	+	19.0760i	0.380910	+	0.659756i
$837$	−29.8757	+	17.2488i	−1.03266	+	0.596205i
$838$	10.0101	+	5.77933i	0.345793	+	0.199644i
$839$			23.4981i			0.811244i	0.914041	+	0.405622i	$0.132945\pi$
$839$			23.4981i			0.811244i	−0.914041	+	0.405622i	$0.867055\pi$
$840$	−6.17652	+	3.73553i	−0.213110	+	0.128888i
$841$	22.2451			0.767071
$842$	−4.01178	+	6.94860i	−0.138255	+	0.239465i
$843$	−22.4726	+	12.9746i	−0.773998	+	0.446868i
$844$	−12.4017	−	21.4803i	−0.426883	−	0.739384i
$845$	−15.7236	+	10.2931i	−0.540908	+	0.354095i
$846$	−1.80808			−0.0621632
$847$	−1.31639	−	64.7121i	−0.0452316	−	2.22353i
$848$	−9.30806			−0.319640
$849$	−7.01205	+	12.1452i	−0.240653	+	0.416823i
$850$	3.62608	−	2.09352i	0.124374	−	0.0718072i
$851$	3.75584	−	2.16843i	0.128748	−	0.0743329i
$852$	8.98738	+	5.18887i	0.307903	+	0.177768i
$853$			40.9295i			1.40140i	0.713456	+	0.700700i	$0.247129\pi$
$853$			40.9295i			1.40140i	−0.713456	+	0.700700i	$0.752871\pi$
$854$	−2.87508	+	5.22226i	−0.0983830	+	0.178702i
$855$	2.45879			0.0840888
$856$	8.67624	+	5.00923i	0.296548	+	0.171212i
$857$	−5.83099	−	10.0996i	−0.199183	−	0.344995i	0.749081	−	0.662479i	$-0.230495\pi$
$857$	−5.83099	−	10.0996i	−0.199183	−	0.344995i	−0.948264	+	0.317484i	$0.897162\pi$
$858$	−4.95441	+	9.16491i	−0.169141	+	0.312885i
$859$	−14.1388	+	24.4891i	−0.482410	+	0.835559i	−0.999796	−	0.0201934i	$-0.993572\pi$
$859$	−14.1388	+	24.4891i	−0.482410	+	0.835559i	0.517386	+	0.855752i	$0.326905\pi$
$860$			11.6046i			0.395715i
$861$	14.0705	−	25.5576i	0.479523	−	0.871001i
$862$	1.58369			0.0539407
$863$	9.91101	+	5.72212i	0.337375	+	0.194783i	0.659110	−	0.752046i	$-0.270933\pi$
$863$	9.91101	+	5.72212i	0.337375	+	0.194783i	−0.321736	+	0.946829i	$0.604266\pi$
$864$	18.0918	−	10.4453i	0.615496	−	0.355357i
$865$	−6.80617	+	3.92954i	−0.231417	+	0.133609i
$866$	−6.33924	−	3.65996i	−0.215416	−	0.124371i
$867$	2.53683			0.0861553
$868$	−30.5289	+	0.621025i	−1.03622	+	0.0210790i
$869$			0.780871i			0.0264892i
$870$	2.51064	−	4.34855i	0.0851186	−	0.147430i
$871$	3.13087	+	1.69250i	0.106085	+	0.0573482i
$872$	−0.0216944	−	0.0375757i	−0.000734664	−	0.00127248i
$873$	−4.95364	−	2.85998i	−0.167655	−	0.0967958i
$874$	−0.351449			−0.0118879
$875$	−15.6570	−	25.8881i	−0.529303	−	0.875177i
$876$		−	25.1985i		−	0.851380i
$877$	48.7993	+	28.1743i	1.64783	+	0.951378i	0.977930	+	0.208930i	$0.0669982\pi$
$877$	48.7993	+	28.1743i	1.64783	+	0.951378i	0.669904	+	0.742447i	$0.266335\pi$
$878$	0.988000	−	0.570422i	0.0333434	−	0.0192508i
$879$	−14.7081	+	8.49173i	−0.496092	+	0.286419i
$880$	14.4172	−	24.9713i	0.486003	−	0.841782i
$881$	1.16418			0.0392221			0.0196111	−	0.999808i	$-0.493757\pi$
$881$	1.16418			0.0392221			0.0196111	+	0.999808i	$0.493757\pi$
$882$	−0.0822115	−	2.01988i	−0.00276821	−	0.0680128i
$883$	12.1881			0.410162			0.205081	−	0.978745i	$-0.434254\pi$
$883$	12.1881			0.410162			0.205081	+	0.978745i	$0.434254\pi$
$884$	29.4790	−	0.826003i	0.991487	−	0.0277815i
$885$	0.898123	+	1.55560i	0.0301901	+	0.0522908i
$886$	2.50597	−	1.44682i	0.0841896	−	0.0486069i
$887$	−15.3320	+	26.5559i	−0.514799	+	0.891659i	0.485053	+	0.874485i	$0.338800\pi$
$887$	−15.3320	+	26.5559i	−0.514799	+	0.891659i	−0.999853	+	0.0171740i	$0.994533\pi$
$888$	15.1524			0.508481
$889$	−32.5894	+	19.7099i	−1.09301	+	0.661049i
$890$		−	4.66910i		−	0.156509i
$891$	−29.0792	−	16.7889i	−0.974190	−	0.562449i
$892$	3.63822	−	2.10053i	0.121817	−	0.0703308i
$893$	−6.12790	−	10.6138i	−0.205062	−	0.355178i
$894$	−0.747424	+	1.29458i	−0.0249976	+	0.0432971i
$895$			7.74598i			0.258920i
$896$	24.3769	−	0.495879i	0.814374	−	0.0165662i
$897$	1.48999	+	2.42146i	0.0497492	+	0.0808503i
$898$	2.92689	−	5.06952i	0.0976716	−	0.169172i
$899$	37.8665	−	21.8622i	1.26292	−	0.729147i
$900$	2.38891	+	4.13771i	0.0796303	+	0.137924i
$901$	−6.01486	+	10.4180i	−0.200384	+	0.347075i
$902$		−	14.9512i		−	0.497822i
$903$	14.3744	+	7.91370i	0.478350	+	0.263352i
$904$			11.8934i			0.395570i
$905$	−9.43987	−	5.45011i	−0.313792	−	0.181168i
$906$	−0.618368	−	1.07105i	−0.0205439	−	0.0355831i
$907$	−5.82396	−	10.0874i	−0.193382	−	0.334947i	0.752987	−	0.658035i	$-0.228612\pi$
$907$	−5.82396	−	10.0874i	−0.193382	−	0.334947i	−0.946369	+	0.323088i	$0.895279\pi$
$908$	44.3532	+	25.6074i	1.47191	+	0.849810i
$909$	−0.0615414			−0.00204120
$910$	0.221539	+	4.57822i	0.00734395	+	0.151766i
$911$	−26.5833			−0.880743			−0.440371	−	0.897816i	$-0.645153\pi$
$911$	−26.5833			−0.880743			−0.440371	+	0.897816i	$0.645153\pi$
$912$	8.28909	+	4.78571i	0.274479	+	0.158471i
$913$	7.94455	+	13.7604i	0.262926	+	0.455402i
$914$	1.50777	+	2.61153i	0.0498725	+	0.0863817i
$915$	12.3896	+	7.15316i	0.409589	+	0.236476i
$916$		−	35.8797i		−	1.18550i
$917$	−0.509482	−	25.0455i	−0.0168246	−	0.827077i
$918$		−	8.12600i		−	0.268198i
$919$	22.8540	−	39.5842i	0.753883	−	1.30576i	−0.192045	−	0.981386i	$-0.561512\pi$
$919$	22.8540	−	39.5842i	0.753883	−	1.30576i	0.945928	−	0.324377i	$-0.105155\pi$
$920$	0.504748	+	0.874250i	0.0166411	+	0.0288232i
$921$	17.4821	−	10.0933i	0.576055	−	0.332585i
$922$	−1.09405	+	1.89494i	−0.0360305	+	0.0624066i
$923$	11.5530	−	7.10883i	0.380271	−	0.233990i
$924$	−22.4915	−	37.1886i	−0.739916	−	1.22342i
$925$			23.3653i			0.768246i
$926$	0.577242	−	0.999813i	0.0189694	−	0.0328559i
$927$	−2.75356	−	4.76930i	−0.0904386	−	0.156644i
$928$	−22.9308	+	13.2391i	−0.752740	+	0.434595i
$929$	9.58268	+	5.53257i	0.314398	+	0.181518i	0.648893	−	0.760880i	$-0.275232\pi$
$929$	9.58268	+	5.53257i	0.314398	+	0.181518i	−0.334495	+	0.942398i	$0.608566\pi$
$930$		−	4.28437i		−	0.140490i
$931$	11.5785	−	7.32830i	0.379469	−	0.240175i
$932$	−41.0784			−1.34557
$933$	22.4190	−	38.8309i	0.733965	−	1.27127i
$934$	8.57360	−	4.94997i	0.280537	−	0.161968i
$935$	−18.6327	−	32.2729i	−0.609356	−	1.05544i
$936$	−0.113437	−	4.04841i	−0.00370779	−	0.132326i
$937$	−57.6584			−1.88362			−0.941808	−	0.336150i	$-0.890875\pi$
$937$	−57.6584			−1.88362			−0.941808	+	0.336150i	$0.890875\pi$
$938$	0.742765	−	0.449221i	0.0242521	−	0.0146676i
$939$	16.1848			0.528170
$940$	−8.55086	+	14.8105i	−0.278898	+	0.483066i
$941$	−14.7003	+	8.48723i	−0.479216	+	0.276676i	−0.720090	−	0.693881i	$-0.755899\pi$
$941$	−14.7003	+	8.48723i	−0.479216	+	0.276676i	0.240874	+	0.970557i	$0.422566\pi$
$942$	3.95375	−	2.28270i	0.128820	−	0.0743743i
$943$	−3.53354	−	2.04009i	−0.115068	−	0.0664345i
$944$		−	2.85082i		−	0.0927862i
$945$	−21.5975	+	0.439340i	−0.702566	+	0.0142917i
$946$	8.40904			0.273401
$947$	−14.4593	−	8.34808i	−0.469864	−	0.271276i	0.246319	−	0.969189i	$-0.420779\pi$
$947$	−14.4593	−	8.34808i	−0.469864	−	0.271276i	−0.716183	+	0.697913i	$0.754112\pi$
$948$	0.180848	+	0.313238i	0.00587366	+	0.0101735i
$949$	−28.9747	−	15.6633i	−0.940559	−	0.508452i
$950$	0.946733	−	1.63979i	0.0307161	−	0.0532018i
$951$			34.8658i			1.13060i
$952$	7.14062	−	12.9702i	0.231429	−	0.420365i
$953$	18.2473			0.591089			0.295545	−	0.955329i	$-0.404499\pi$
$953$	18.2473			0.591089			0.295545	+	0.955329i	$0.404499\pi$
$954$	0.695046	+	0.401285i	0.0225029	+	0.0129921i
$955$	−16.9593	+	9.79143i	−0.548789	+	0.316843i
$956$	−32.6777	+	18.8665i	−1.05687	+	0.610186i
$957$	53.8957	+	31.1167i	1.74220	+	1.00586i
$958$	−11.6948			−0.377841
$959$	21.1896	−	38.4886i	0.684248	−	1.24286i
$960$		−	11.5423i		−	0.372527i
$961$	3.15382	−	5.46257i	0.101736	−	0.176212i
$962$	4.57557	−	8.46412i	0.147522	−	0.272894i
$963$	3.36669	+	5.83127i	0.108490	+	0.187910i
$964$	−5.28629	−	3.05204i	−0.170260	−	0.0982996i
$965$	26.8253			0.863537
$966$	0.693293	−	0.0141031i	0.0223063	−	0.000453760i
$967$		−	29.5845i		−	0.951374i	−0.879615	−	0.475687i	$-0.842199\pi$
$967$		−	29.5845i		−	0.951374i	0.879615	−	0.475687i	$-0.157801\pi$
$968$	−27.3894	−	15.8133i	−0.880328	−	0.508258i
$969$	10.7128	−	6.18504i	0.344145	−	0.198692i
$970$	2.73937	−	1.58158i	0.0879558	−	0.0507813i
$971$	−7.56504	+	13.1030i	−0.242774	+	0.420497i	−0.961503	−	0.274793i	$-0.911391\pi$
$971$	−7.56504	+	13.1030i	−0.242774	+	0.420497i	0.718730	+	0.695290i	$0.244724\pi$
$972$	16.4627			0.528040
$973$	41.8320	−	25.2998i	1.34107	−	0.811075i
$974$	−0.598787			−0.0191864
$975$	−15.3118	+	0.429036i	−0.490369	+	0.0137402i
$976$	−11.3528	−	19.6636i	−0.363393	−	0.629415i
$977$	28.1143	−	16.2318i	0.899457	−	0.519301i	0.0224327	−	0.999748i	$-0.492859\pi$
$977$	28.1143	−	16.2318i	0.899457	−	0.519301i	0.877024	+	0.480447i	$0.159526\pi$
$978$	−0.168650	+	0.292110i	−0.00539283	+	0.00934065i
$979$	57.8686			1.84949
$980$	−16.9342	−	8.87906i	−0.540943	−	0.283631i
$981$		−	0.0291614i		−	0.000931052i
$982$	2.35838	+	1.36161i	0.0752590	+	0.0434508i
$983$	38.3602	−	22.1473i	1.22350	−	0.706388i	0.257838	−	0.966188i	$-0.416990\pi$
$983$	38.3602	−	22.1473i	1.22350	−	0.706388i	0.965662	+	0.259800i	$0.0836567\pi$
$984$	−7.12779	−	12.3457i	−0.227226	−	0.393567i
$985$	−1.92855	+	3.34034i	−0.0614487	+	0.106432i
$986$			10.2994i			0.328001i
$987$	12.5142	+	20.6917i	0.398333	+	0.658624i
$988$	11.3582	−	6.98900i	0.361354	−	0.222350i
$989$	1.14741	−	1.98737i	0.0364855	−	0.0631948i
$990$	−2.15310	+	1.24309i	−0.0684301	+	0.0395081i
$991$	4.26058	+	7.37955i	0.135342	+	0.234419i	0.925728	−	0.378190i	$-0.123453\pi$
$991$	4.26058	+	7.37955i	0.135342	+	0.234419i	−0.790386	+	0.612609i	$0.790120\pi$
$992$	−11.2962	+	19.5655i	−0.358654	+	0.621206i
$993$			26.7500i			0.848887i
$994$	−0.0672870	−	3.30775i	−0.00213422	−	0.104916i
$995$			29.2014i			0.925746i
$996$	6.37374	+	3.67988i	0.201960	+	0.116601i
$997$	3.38953	+	5.87083i	0.107347	+	0.185931i	0.914695	−	0.404145i	$-0.132431\pi$
$997$	3.38953	+	5.87083i	0.107347	+	0.185931i	−0.807347	+	0.590076i	$0.799098\pi$
$998$	6.06858	+	10.5111i	0.192098	+	0.332723i
$999$	39.2709	+	22.6731i	1.24248	+	0.717344i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	91.2.r.a.51.5	yes	16
3.2	odd	2		819.2.dl.e.415.4		16
7.2	even	3		637.2.c.f.246.4		8
7.3	odd	6		637.2.r.f.116.4		16
7.4	even	3	inner	91.2.r.a.25.4	✓	16
7.5	odd	6		637.2.c.e.246.4		8
7.6	odd	2		637.2.r.f.324.5		16
13.5	odd	4		1183.2.e.i.170.5		16
13.8	odd	4		1183.2.e.i.170.4		16
13.12	even	2	inner	91.2.r.a.51.4	yes	16
21.11	odd	6		819.2.dl.e.298.5		16
39.38	odd	2		819.2.dl.e.415.5		16
91.5	even	12		8281.2.a.cj.1.4		8
91.12	odd	6		637.2.c.e.246.5		8
91.18	odd	12		1183.2.e.i.508.5		16
91.25	even	6	inner	91.2.r.a.25.5	yes	16
91.38	odd	6		637.2.r.f.116.5		16
91.44	odd	12		8281.2.a.ck.1.4		8
91.47	even	12		8281.2.a.cj.1.5		8
91.51	even	6		637.2.c.f.246.5		8
91.60	odd	12		1183.2.e.i.508.4		16
91.86	odd	12		8281.2.a.ck.1.5		8
91.90	odd	2		637.2.r.f.324.4		16
273.116	odd	6		819.2.dl.e.298.4		16

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
91.2.r.a.25.4	✓	16	7.4	even	3	inner
91.2.r.a.25.5	yes	16	91.25	even	6	inner
91.2.r.a.51.4	yes	16	13.12	even	2	inner
91.2.r.a.51.5	yes	16	1.1	even	1	trivial
637.2.c.e.246.4		8	7.5	odd	6
637.2.c.e.246.5		8	91.12	odd	6
637.2.c.f.246.4		8	7.2	even	3
637.2.c.f.246.5		8	91.51	even	6
637.2.r.f.116.4		16	7.3	odd	6
637.2.r.f.116.5		16	91.38	odd	6
637.2.r.f.324.4		16	91.90	odd	2
637.2.r.f.324.5		16	7.6	odd	2
819.2.dl.e.298.4		16	273.116	odd	6
819.2.dl.e.298.5		16	21.11	odd	6
819.2.dl.e.415.4		16	3.2	odd	2
819.2.dl.e.415.5		16	39.38	odd	2
1183.2.e.i.170.4		16	13.8	odd	4
1183.2.e.i.170.5		16	13.5	odd	4
1183.2.e.i.508.4		16	91.60	odd	12
1183.2.e.i.508.5		16	91.18	odd	12
8281.2.a.cj.1.4		8	91.5	even	12
8281.2.a.cj.1.5		8	91.47	even	12
8281.2.a.ck.1.4		8	91.44	odd	12
8281.2.a.ck.1.5		8	91.86	odd	12

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:	\( N \)	\(=\)	\( 91 = 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	91.r (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.287846 + 0.166188i) q^{2} +(-0.729919 - 1.26426i) q^{3} +(-0.944763 - 1.63638i) q^{4} +(1.25195 + 0.722811i) q^{5} -0.485214i q^{6} +(2.26391 - 1.36920i) q^{7} -1.29278i q^{8} +(0.434437 - 0.752468i) q^{9} +O(q^{10})\)	\(q+(0.287846 + 0.166188i) q^{2} +(-0.729919 - 1.26426i) q^{3} +(-0.944763 - 1.63638i) q^{4} +(1.25195 + 0.722811i) q^{5} -0.485214i q^{6} +(2.26391 - 1.36920i) q^{7} -1.29278i q^{8} +(0.434437 - 0.752468i) q^{9} +(0.240245 + 0.416116i) q^{10} +(-5.15732 + 2.97758i) q^{11} +(-1.37920 + 2.38885i) q^{12} +(1.88953 + 3.07078i) q^{13} +(0.879201 - 0.0178849i) q^{14} -2.11037i q^{15} +(-1.67468 + 2.90063i) q^{16} +(2.16436 + 3.74877i) q^{17} +(0.250102 - 0.144396i) q^{18} +(1.69527 + 0.978767i) q^{19} -2.73154i q^{20} +(-3.38349 - 1.86276i) q^{21} -1.97935 q^{22} +(-0.270081 + 0.467795i) q^{23} +(-1.63441 + 0.943626i) q^{24} +(-1.45509 - 2.52029i) q^{25} +(0.0335660 + 1.19793i) q^{26} -5.64793 q^{27} +(-4.37939 - 2.41104i) q^{28} +7.15857 q^{29} +(0.350718 - 0.607461i) q^{30} +(5.28968 - 3.05400i) q^{31} +(-3.20327 + 1.84941i) q^{32} +(7.52885 + 4.34678i) q^{33} +1.43876i q^{34} +(3.82396 - 0.0777879i) q^{35} -1.64176 q^{36} +(-6.95316 - 4.01441i) q^{37} +(0.325318 + 0.563467i) q^{38} +(2.50305 - 4.63027i) q^{39} +(0.934437 - 1.61849i) q^{40} +7.55362i q^{41} +(-0.664356 - 1.09848i) q^{42} -4.24839 q^{43} +(9.74489 + 5.62622i) q^{44} +(1.08778 - 0.628032i) q^{45} +(-0.155483 + 0.0897684i) q^{46} +(-5.42204 - 3.13042i) q^{47} +4.88953 q^{48} +(3.25057 - 6.19950i) q^{49} -0.967272i q^{50} +(3.15961 - 5.47260i) q^{51} +(3.23980 - 5.99314i) q^{52} +(1.38953 + 2.40673i) q^{53} +(-1.62573 - 0.938616i) q^{54} -8.60891 q^{55} +(-1.77008 - 2.92674i) q^{56} -2.85768i q^{57} +(2.06056 + 1.18967i) q^{58} +(-0.737119 + 0.425576i) q^{59} +(-3.45337 + 1.99380i) q^{60} +(-3.38953 + 5.87083i) q^{61} +2.03015 q^{62} +(-0.0467536 - 2.29835i) q^{63} +5.46933 q^{64} +(0.145991 + 5.21022i) q^{65} +(1.44476 + 2.50240i) q^{66} +(0.854859 - 0.493553i) q^{67} +(4.08961 - 7.08341i) q^{68} +0.788550 q^{69} +(1.11364 + 0.613105i) q^{70} -3.76223i q^{71} +(-0.972777 - 0.561633i) q^{72} +(-7.91131 + 4.56760i) q^{73} +(-1.33429 - 2.31106i) q^{74} +(-2.12419 + 3.67921i) q^{75} -3.69881i q^{76} +(-7.59879 + 13.8024i) q^{77} +(1.48999 - 0.916825i) q^{78} +(0.0655625 - 0.113558i) q^{79} +(-4.19322 + 2.42096i) q^{80} +(2.81922 + 4.88303i) q^{81} +(-1.25532 + 2.17428i) q^{82} -2.66812i q^{83} +(0.148428 + 7.29653i) q^{84} +6.25768i q^{85} +(-1.22288 - 0.706030i) q^{86} +(-5.22517 - 9.05026i) q^{87} +(3.84936 + 6.66729i) q^{88} +(-8.41550 - 4.85869i) q^{89} +0.417485 q^{90} +(8.48224 + 4.36482i) q^{91} +1.02065 q^{92} +(-7.72207 - 4.45834i) q^{93} +(-1.04047 - 1.80215i) q^{94} +(1.41493 + 2.45072i) q^{95} +(4.67625 + 2.69983i) q^{96} -6.58319i q^{97} +(1.96594 - 1.24429i) q^{98} +5.17429i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 16 q - 4 q^{3} + 6 q^{4} - 12 q^{9}+O(q^{10}) \) 16 * q - 4 * q^3 + 6 * q^4 - 12 * q^9	\( 16 q - 4 q^{3} + 6 q^{4} - 12 q^{9} - 6 q^{10} + 18 q^{12} - 12 q^{13} - 26 q^{14} + 2 q^{16} + 8 q^{17} - 36 q^{22} - 12 q^{23} - 6 q^{26} + 32 q^{27} - 16 q^{29} + 38 q^{30} - 56 q^{36} + 34 q^{38} + 18 q^{39} - 4 q^{40} + 16 q^{42} + 16 q^{43} + 36 q^{48} + 40 q^{49} + 16 q^{51} - 42 q^{52} - 20 q^{53} + 24 q^{55} - 36 q^{56} - 12 q^{61} + 44 q^{62} + 88 q^{64} - 30 q^{65} + 2 q^{66} - 2 q^{68} - 56 q^{69} + 42 q^{74} + 8 q^{75} - 76 q^{77} + 20 q^{78} + 20 q^{79} - 24 q^{81} - 16 q^{82} - 68 q^{87} + 4 q^{88} - 216 q^{90} + 56 q^{91} + 12 q^{92} - 26 q^{94} - 16 q^{95}+O(q^{100}) \) 16 * q - 4 * q^3 + 6 * q^4 - 12 * q^9 - 6 * q^10 + 18 * q^12 - 12 * q^13 - 26 * q^14 + 2 * q^16 + 8 * q^17 - 36 * q^22 - 12 * q^23 - 6 * q^26 + 32 * q^27 - 16 * q^29 + 38 * q^30 - 56 * q^36 + 34 * q^38 + 18 * q^39 - 4 * q^40 + 16 * q^42 + 16 * q^43 + 36 * q^48 + 40 * q^49 + 16 * q^51 - 42 * q^52 - 20 * q^53 + 24 * q^55 - 36 * q^56 - 12 * q^61 + 44 * q^62 + 88 * q^64 - 30 * q^65 + 2 * q^66 - 2 * q^68 - 56 * q^69 + 42 * q^74 + 8 * q^75 - 76 * q^77 + 20 * q^78 + 20 * q^79 - 24 * q^81 - 16 * q^82 - 68 * q^87 + 4 * q^88 - 216 * q^90 + 56 * q^91 + 12 * q^92 - 26 * q^94 - 16 * q^95

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