LMFDB - Embedded newform 260.2.o.a.183.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(27,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 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("260.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.o (of order $4$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$36$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			183.5
Character	$\chi$	$=$	260.183
Dual form			260.2.o.a.27.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32767 + 0.487116i) q^{2} +(0.396814 - 0.396814i) q^{3} +(1.52544 - 1.29346i) q^{4} +(2.02359 + 0.951360i) q^{5} +(-0.333545 + 0.720134i) q^{6} +(0.477103 + 0.477103i) q^{7} +(-1.39521 + 2.46036i) q^{8} +2.68508i q^{9} +O(q^{10})$	\(q+(-1.32767 + 0.487116i) q^{2} +(0.396814 - 0.396814i) q^{3} +(1.52544 - 1.29346i) q^{4} +(2.02359 + 0.951360i) q^{5} +(-0.333545 + 0.720134i) q^{6} +(0.477103 + 0.477103i) q^{7} +(-1.39521 + 2.46036i) q^{8} +2.68508i q^{9} +(-3.15009 - 0.277373i) q^{10} -4.12967i q^{11} +(0.0920497 - 1.11858i) q^{12} +(0.707107 + 0.707107i) q^{13} +(-0.865843 - 0.401033i) q^{14} +(1.18050 - 0.425475i) q^{15} +(0.653905 - 3.94619i) q^{16} +(-0.282654 + 0.282654i) q^{17} +(-1.30795 - 3.56491i) q^{18} +6.79601 q^{19} +(4.31740 - 1.16620i) q^{20} +0.378643 q^{21} +(2.01163 + 5.48285i) q^{22} +(-4.18589 + 4.18589i) q^{23} +(0.422666 + 1.52995i) q^{24} +(3.18983 + 3.85033i) q^{25} +(-1.28325 - 0.594364i) q^{26} +(2.25592 + 2.25592i) q^{27} +(1.34491 + 0.110675i) q^{28} +2.26050i q^{29} +(-1.36006 + 1.13993i) q^{30} -6.38658i q^{31} +(1.05408 + 5.55778i) q^{32} +(-1.63871 - 1.63871i) q^{33} +(0.237587 - 0.512957i) q^{34} +(0.511564 + 1.41936i) q^{35} +(3.47305 + 4.09591i) q^{36} +(3.49062 - 3.49062i) q^{37} +(-9.02288 + 3.31045i) q^{38} +0.561180 q^{39} +(-5.16403 + 3.65141i) q^{40} +3.13240 q^{41} +(-0.502714 + 0.184443i) q^{42} +(-3.14184 + 3.14184i) q^{43} +(-5.34158 - 6.29954i) q^{44} +(-2.55448 + 5.43349i) q^{45} +(3.51848 - 7.59651i) q^{46} +(-2.10301 - 2.10301i) q^{47} +(-1.30642 - 1.82538i) q^{48} -6.54474i q^{49} +(-6.11061 - 3.55816i) q^{50} +0.224322i q^{51} +(1.99326 + 0.164029i) q^{52} +(-3.55189 - 3.55189i) q^{53} +(-4.09402 - 1.89623i) q^{54} +(3.92880 - 8.35675i) q^{55} +(-1.83951 + 0.508186i) q^{56} +(2.69675 - 2.69675i) q^{57} +(-1.10113 - 3.00120i) q^{58} -11.1882 q^{59} +(1.25044 - 2.17597i) q^{60} +1.24825 q^{61} +(3.11101 + 8.47930i) q^{62} +(-1.28106 + 1.28106i) q^{63} +(-4.10676 - 6.86546i) q^{64} +(0.758180 + 2.10361i) q^{65} +(2.97391 + 1.37743i) q^{66} +(-8.43829 - 8.43829i) q^{67} +(-0.0655677 + 0.796772i) q^{68} +3.32204i q^{69} +(-1.37058 - 1.63525i) q^{70} +14.8287i q^{71} +(-6.60626 - 3.74626i) q^{72} +(-3.39058 - 3.39058i) q^{73} +(-2.93406 + 6.33473i) q^{74} +(2.79363 + 0.262095i) q^{75} +(10.3669 - 8.79039i) q^{76} +(1.97028 - 1.97028i) q^{77} +(-0.745063 + 0.273360i) q^{78} -10.1932 q^{79} +(5.07748 - 7.36337i) q^{80} -6.26487 q^{81} +(-4.15881 + 1.52584i) q^{82} +(0.412265 - 0.412265i) q^{83} +(0.577595 - 0.489760i) q^{84} +(-0.840880 + 0.303069i) q^{85} +(2.64090 - 5.70178i) q^{86} +(0.896997 + 0.896997i) q^{87} +(10.1605 + 5.76177i) q^{88} -16.9524i q^{89} +(0.744767 - 8.45823i) q^{90} +0.674726i q^{91} +(-0.971008 + 11.7996i) q^{92} +(-2.53429 - 2.53429i) q^{93} +(3.81652 + 1.76770i) q^{94} +(13.7523 + 6.46545i) q^{95} +(2.62368 + 1.78713i) q^{96} +(-2.59742 + 2.59742i) q^{97} +(3.18805 + 8.68929i) q^{98} +11.0885 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) $ 72 * q - 8 * q^6 - 12 * q^8	$ 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) $ 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$1$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−1.32767	+	0.487116i	−0.938807	+	0.344443i
$2$	−1.32767	+	0.487116i	−0.938807	+	0.344443i
$3$	0.396814	−	0.396814i	0.229101	−	0.229101i	−0.583216	−	0.812317i	$-0.698206\pi$
$3$	0.396814	−	0.396814i	0.229101	−	0.229101i	0.812317	+	0.583216i	$0.198206\pi$
$4$	1.52544	−	1.29346i	0.762718	−	0.646732i
$5$	2.02359	+	0.951360i	0.904977	+	0.425461i
$5$	2.02359	+	0.951360i	0.904977	+	0.425461i
$6$	−0.333545	+	0.720134i	−0.136169	+	0.293993i
$7$	0.477103	+	0.477103i	0.180328	+	0.180328i	0.791499	−	0.611171i	$-0.209301\pi$
$7$	0.477103	+	0.477103i	0.180328	+	0.180328i	−0.611171	+	0.791499i	$0.709301\pi$
$8$	−1.39521	+	2.46036i	−0.493282	+	0.869869i
$9$			2.68508i			0.895026i
$10$	−3.15009	−	0.277373i	−0.996146	−	0.0877130i
$11$		−	4.12967i		−	1.24514i	−0.782563	−	0.622571i	$-0.786088\pi$
$11$		−	4.12967i		−	1.24514i	0.782563	−	0.622571i	$-0.213912\pi$
$12$	0.0920497	−	1.11858i	0.0265725	−	0.322906i
$13$	0.707107	+	0.707107i	0.196116	+	0.196116i
$13$	0.707107	+	0.707107i	0.196116	+	0.196116i
$14$	−0.865843	−	0.401033i	−0.231406	−	0.107181i
$15$	1.18050	−	0.425475i	0.304804	−	0.109857i
$16$	0.653905	−	3.94619i	0.163476	−	0.986547i
$17$	−0.282654	+	0.282654i	−0.0685536	+	0.0685536i	−0.740552	−	0.671999i	$-0.765436\pi$
$17$	−0.282654	+	0.282654i	−0.0685536	+	0.0685536i	0.671999	+	0.740552i	$0.265436\pi$
$18$	−1.30795	−	3.56491i	−0.308286	−	0.840257i
$19$	6.79601			1.55911			0.779555	−	0.626333i	$-0.215445\pi$
$19$	6.79601			1.55911			0.779555	+	0.626333i	$0.215445\pi$
$20$	4.31740	−	1.16620i	0.965401	−	0.260770i
$21$	0.378643			0.0826266
$22$	2.01163	+	5.48285i	0.428881	+	1.16895i
$23$	−4.18589	+	4.18589i	−0.872818	+	0.872818i	−0.992779	−	0.119961i	$-0.961723\pi$
$23$	−4.18589	+	4.18589i	−0.872818	+	0.872818i	0.119961	+	0.992779i	$0.461723\pi$
$24$	0.422666	+	1.52995i	0.0862763	+	0.312299i
$25$	3.18983	+	3.85033i	0.637965	+	0.770065i
$26$	−1.28325	−	0.594364i	−0.251666	−	0.116564i
$27$	2.25592	+	2.25592i	0.434152	+	0.434152i
$28$	1.34491	+	0.110675i	0.254163	+	0.0209155i
$29$			2.26050i			0.419764i	0.977727	+	0.209882i	$0.0673080\pi$
$29$			2.26050i			0.419764i	−0.977727	+	0.209882i	$0.932692\pi$
$30$	−1.36006	+	1.13993i	−0.248313	+	0.208123i
$31$		−	6.38658i		−	1.14706i	−0.819183	−	0.573532i	$-0.805573\pi$
$31$		−	6.38658i		−	1.14706i	0.819183	−	0.573532i	$-0.194427\pi$
$32$	1.05408	+	5.55778i	0.186337	+	0.982486i
$33$	−1.63871	−	1.63871i	−0.285263	−	0.285263i
$34$	0.237587	−	0.512957i	0.0407458	−	0.0879714i
$35$	0.511564	+	1.41936i	0.0864701	+	0.239915i
$36$	3.47305	+	4.09591i	0.578842	+	0.682652i
$37$	3.49062	−	3.49062i	0.573854	−	0.573854i	−0.359349	−	0.933203i	$-0.617001\pi$
$37$	3.49062	−	3.49062i	0.573854	−	0.573854i	0.933203	+	0.359349i	$0.117001\pi$
$38$	−9.02288	+	3.31045i	−1.46370	+	0.537025i
$39$	0.561180			0.0898607
$40$	−5.16403	+	3.65141i	−0.816505	+	0.577339i
$41$	3.13240			0.489199			0.244599	−	0.969624i	$-0.421344\pi$
$41$	3.13240			0.489199			0.244599	+	0.969624i	$0.421344\pi$
$42$	−0.502714	+	0.184443i	−0.0775704	+	0.0284602i
$43$	−3.14184	+	3.14184i	−0.479126	+	0.479126i	−0.904852	−	0.425726i	$-0.860019\pi$
$43$	−3.14184	+	3.14184i	−0.479126	+	0.479126i	0.425726	+	0.904852i	$0.360019\pi$
$44$	−5.34158	−	6.29954i	−0.805273	−	0.949692i
$45$	−2.55448	+	5.43349i	−0.380799	+	0.809977i
$46$	3.51848	−	7.59651i	0.518771	−	1.12004i
$47$	−2.10301	−	2.10301i	−0.306756	−	0.306756i	0.536894	−	0.843650i	$-0.319598\pi$
$47$	−2.10301	−	2.10301i	−0.306756	−	0.306756i	−0.843650	+	0.536894i	$0.819598\pi$
$48$	−1.30642	−	1.82538i	−0.188566	−	0.263471i
$49$		−	6.54474i		−	0.934964i
$50$	−6.11061	−	3.55816i	−0.864170	−	0.503200i
$51$			0.224322i			0.0314113i
$52$	1.99326	+	0.164029i	0.276416	+	0.0227467i
$53$	−3.55189	−	3.55189i	−0.487890	−	0.487890i	0.419750	−	0.907640i	$-0.362118\pi$
$53$	−3.55189	−	3.55189i	−0.487890	−	0.487890i	−0.907640	+	0.419750i	$0.862118\pi$
$54$	−4.09402	−	1.89623i	−0.557125	−	0.258044i
$55$	3.92880	−	8.35675i	0.529760	−	1.12682i
$56$	−1.83951	+	0.508186i	−0.245815	+	0.0679092i
$57$	2.69675	−	2.69675i	0.357193	−	0.357193i
$58$	−1.10113	−	3.00120i	−0.144585	−	0.394077i
$59$	−11.1882			−1.45658			−0.728291	−	0.685268i	$-0.759685\pi$
$59$	−11.1882			−1.45658			−0.728291	+	0.685268i	$0.759685\pi$
$60$	1.25044	−	2.17597i	0.161431	−	0.280917i
$61$	1.24825			0.159821			0.0799107	−	0.996802i	$-0.474536\pi$
$61$	1.24825			0.159821			0.0799107	+	0.996802i	$0.474536\pi$
$62$	3.11101	+	8.47930i	0.395099	+	1.07687i
$63$	−1.28106	+	1.28106i	−0.161398	+	0.161398i
$64$	−4.10676	−	6.86546i	−0.513345	−	0.858182i
$65$	0.758180	+	2.10361i	0.0940407	+	0.260920i
$66$	2.97391	+	1.37743i	0.366064	+	0.169550i
$67$	−8.43829	−	8.43829i	−1.03090	−	1.03090i	−0.999507	−	0.0313946i	$-0.990005\pi$
$67$	−8.43829	−	8.43829i	−1.03090	−	1.03090i	−0.0313946	−	0.999507i	$-0.509995\pi$
$68$	−0.0655677	+	0.796772i	−0.00795125	+	0.0966228i
$69$			3.32204i			0.399926i
$70$	−1.37058	−	1.63525i	−0.163816	−	0.195450i
$71$			14.8287i			1.75985i	0.475116	+	0.879923i	$0.342406\pi$
$71$			14.8287i			1.75985i	−0.475116	+	0.879923i	$0.657594\pi$
$72$	−6.60626	−	3.74626i	−0.778555	−	0.441500i
$73$	−3.39058	−	3.39058i	−0.396837	−	0.396837i	0.480279	−	0.877116i	$-0.340536\pi$
$73$	−3.39058	−	3.39058i	−0.396837	−	0.396837i	−0.877116	+	0.480279i	$0.840536\pi$
$74$	−2.93406	+	6.33473i	−0.341078	+	0.736398i
$75$	2.79363	+	0.262095i	0.322581	+	0.0302641i
$76$	10.3669	−	8.79039i	1.18916	−	1.00833i
$77$	1.97028	−	1.97028i	0.224534	−	0.224534i
$78$	−0.745063	+	0.273360i	−0.0843618	+	0.0309519i
$79$	−10.1932			−1.14683			−0.573415	−	0.819265i	$-0.694382\pi$
$79$	−10.1932			−1.14683			−0.573415	+	0.819265i	$0.694382\pi$
$80$	5.07748	−	7.36337i	0.567680	−	0.823249i
$81$	−6.26487			−0.696097
$82$	−4.15881	+	1.52584i	−0.459263	+	0.168501i
$83$	0.412265	−	0.412265i	0.0452520	−	0.0452520i	−0.684119	−	0.729371i	$-0.739813\pi$
$83$	0.412265	−	0.412265i	0.0452520	−	0.0452520i	0.729371	+	0.684119i	$0.239813\pi$
$84$	0.577595	−	0.489760i	0.0630207	−	0.0534372i
$85$	−0.840880	+	0.303069i	−0.0912063	+	0.0328725i
$86$	2.64090	−	5.70178i	0.284775	−	0.614838i
$87$	0.896997	+	0.896997i	0.0961682	+	0.0961682i
$88$	10.1605	+	5.76177i	1.08311	+	0.614207i
$89$		−	16.9524i		−	1.79696i	−0.439020	−	0.898478i	$-0.644674\pi$
$89$		−	16.9524i		−	1.79696i	0.439020	−	0.898478i	$-0.355326\pi$
$90$	0.744767	−	8.45823i	0.0785054	−	0.891576i
$91$			0.674726i			0.0707305i
$92$	−0.971008	+	11.7996i	−0.101235	+	1.23019i
$93$	−2.53429	−	2.53429i	−0.262793	−	0.262793i
$94$	3.81652	+	1.76770i	0.393644	+	0.182325i
$95$	13.7523	+	6.46545i	1.41096	+	0.663341i
$96$	2.62368	+	1.78713i	0.267778	+	0.182398i
$97$	−2.59742	+	2.59742i	−0.263728	+	0.263728i	−0.826567	−	0.562839i	$-0.809709\pi$
$97$	−2.59742	+	2.59742i	−0.263728	+	0.263728i	0.562839	+	0.826567i	$0.309709\pi$
$98$	3.18805	+	8.68929i	0.322042	+	0.877750i
$99$	11.0885			1.11443
$100$	9.84613	+	1.74750i	0.984613	+	0.174750i
$101$	−12.5028			−1.24407			−0.622036	−	0.782989i	$-0.713694\pi$
$101$	−12.5028			−1.24407			−0.622036	+	0.782989i	$0.713694\pi$
$102$	−0.109271	−	0.297826i	−0.0108194	−	0.0294892i
$103$	−3.40360	+	3.40360i	−0.335367	+	0.335367i	−0.854620	−	0.519253i	$-0.826210\pi$
$103$	−3.40360	+	3.40360i	−0.335367	+	0.335367i	0.519253	+	0.854620i	$0.326210\pi$
$104$	−2.72630	+	0.753174i	−0.267336	+	0.0738548i
$105$	0.766217	+	0.360226i	0.0747751	+	0.0351544i
$106$	6.44594	+	2.98557i	0.626085	+	0.289984i
$107$	3.92371	+	3.92371i	0.379319	+	0.379319i	0.870857	−	0.491537i	$-0.163565\pi$
$107$	3.92371	+	3.92371i	0.379319	+	0.379319i	−0.491537	+	0.870857i	$0.663565\pi$
$108$	6.35920	+	0.523310i	0.611915	+	0.0503555i
$109$			14.3064i			1.37030i	0.728401	+	0.685151i	$0.240264\pi$
$109$			14.3064i			1.37030i	−0.728401	+	0.685151i	$0.759736\pi$
$110$	−1.14546	+	13.0088i	−0.109215	+	1.24034i
$111$		−	2.77025i		−	0.262940i
$112$	2.19472	−	1.57076i	0.207382	−	0.148423i
$113$	−11.2325	−	11.2325i	−1.05667	−	1.05667i	−0.998295	−	0.0583738i	$-0.981408\pi$
$113$	−11.2325	−	11.2325i	−1.05667	−	1.05667i	−0.0583738	−	0.998295i	$-0.518592\pi$
$114$	−2.26677	+	4.89403i	−0.212303	+	0.458368i
$115$	−12.4528	+	4.48823i	−1.16123	+	0.418530i
$116$	2.92387	+	3.44824i	0.271475	+	0.320161i
$117$	−1.89864	+	1.89864i	−0.175529	+	0.175529i
$118$	14.8543	−	5.44996i	1.36745	−	0.501710i
$119$	−0.269710			−0.0247243
$120$	−0.600228	+	3.49809i	−0.0547931	+	0.319330i
$121$	−6.05417			−0.550379
$122$	−1.65726	+	0.608041i	−0.150041	+	0.0550494i
$123$	1.24298	−	1.24298i	0.112076	−	0.112076i
$124$	−8.26081	−	9.74232i	−0.741843	−	0.874886i
$125$	2.79185	+	10.8262i	0.249711	+	0.968320i
$126$	1.07680	−	2.32485i	0.0959293	−	0.207114i
$127$	9.47642	+	9.47642i	0.840896	+	0.840896i	0.988976	−	0.148079i	$-0.0473090\pi$
$127$	9.47642	+	9.47642i	0.840896	+	0.840896i	−0.148079	+	0.988976i	$0.547309\pi$
$128$	8.79672	+	7.11462i	0.777527	+	0.628849i
$129$			2.49345i			0.219536i
$130$	−2.03132	−	2.42358i	−0.178158	−	0.212562i
$131$			0.403054i			0.0352150i	0.999845	+	0.0176075i	$0.00560493\pi$
$131$			0.403054i			0.0352150i	−0.999845	+	0.0176075i	$0.994395\pi$
$132$	−4.61936	−	0.380135i	−0.402063	−	0.0330865i
$133$	3.24240	+	3.24240i	0.281152	+	0.281152i
$134$	15.3137	+	7.09287i	1.32290	+	0.612731i
$135$	2.41886	+	6.71124i	0.208182	+	0.577612i
$136$	−0.301068	−	1.08979i	−0.0258164	−	0.0934489i
$137$	15.0673	−	15.0673i	1.28729	−	1.28729i	0.350857	−	0.936429i	$-0.385890\pi$
$137$	15.0673	−	15.0673i	1.28729	−	1.28729i	0.936429	−	0.350857i	$-0.114110\pi$
$138$	−1.61822	−	4.41058i	−0.137752	−	0.375454i
$139$	8.60240			0.729646			0.364823	−	0.931077i	$-0.381129\pi$
$139$	8.60240			0.729646			0.364823	+	0.931077i	$0.381129\pi$
$140$	2.61625	+	1.50345i	0.221113	+	0.127065i
$141$	−1.66901			−0.140556
$142$	−7.22332	−	19.6877i	−0.606167	−	1.65216i
$143$	2.92012	−	2.92012i	0.244192	−	0.244192i
$144$	10.5958	+	1.75579i	0.882985	+	0.146316i
$145$	−2.15055	+	4.57432i	−0.178593	+	0.379876i
$146$	6.15319	+	2.84998i	0.509242	+	0.235866i
$147$	−2.59705	−	2.59705i	−0.214201	−	0.214201i
$148$	0.809725	−	9.83969i	0.0665590	−	0.808818i
$149$			13.3726i			1.09553i	0.836632	+	0.547765i	$0.184521\pi$
$149$			13.3726i			1.09553i	−0.836632	+	0.547765i	$0.815479\pi$
$150$	−3.83670	+	1.01285i	−0.313265	+	0.0826986i
$151$		−	13.1674i		−	1.07155i	−0.844362	−	0.535774i	$-0.820020\pi$
$151$		−	13.1674i		−	1.07155i	0.844362	−	0.535774i	$-0.179980\pi$
$152$	−9.48188	+	16.7206i	−0.769082	+	1.35622i
$153$	−0.758947	−	0.758947i	−0.0613572	−	0.0613572i
$154$	−1.65613	+	3.57564i	−0.133455	+	0.288134i
$155$	6.07594	−	12.9238i	0.488031	−	1.03807i
$156$	0.856043	−	0.725865i	0.0685383	−	0.0581157i
$157$	2.96750	−	2.96750i	0.236832	−	0.236832i	−0.578705	−	0.815537i	$-0.696442\pi$
$157$	2.96750	−	2.96750i	0.236832	−	0.236832i	0.815537	+	0.578705i	$0.196442\pi$
$158$	13.5333	−	4.96530i	1.07665	−	0.395018i
$159$	−2.81888			−0.223552
$160$	−3.15443	+	12.2495i	−0.249379	+	0.968406i
$161$	−3.99420			−0.314787
$162$	8.31771	−	3.05172i	0.653501	−	0.239766i
$163$	6.43698	−	6.43698i	0.504183	−	0.504183i	−0.408552	−	0.912735i	$-0.633966\pi$
$163$	6.43698	−	6.43698i	0.504183	−	0.504183i	0.912735	+	0.408552i	$0.133966\pi$
$164$	4.77828	−	4.05165i	0.373121	−	0.316380i
$165$	−1.75707	−	4.87508i	−0.136788	−	0.379524i
$166$	−0.346533	+	0.748175i	−0.0268961	+	0.0580696i
$167$	−17.4526	−	17.4526i	−1.35052	−	1.35052i	−0.885075	−	0.465448i	$-0.845893\pi$
$167$	−17.4526	−	17.4526i	−1.35052	−	1.35052i	−0.465448	−	0.885075i	$-0.654107\pi$
$168$	−0.528287	+	0.931598i	−0.0407582	+	0.0718743i
$169$			1.00000i			0.0769231i
$170$	0.968785	−	0.811984i	0.0743024	−	0.0622763i
$171$			18.2478i			1.39544i
$172$	−0.728818	+	8.85652i	−0.0555719	+	0.675304i
$173$	4.74226	+	4.74226i	0.360547	+	0.360547i	0.864014	−	0.503467i	$-0.167942\pi$
$173$	4.74226	+	4.74226i	0.360547	+	0.360547i	−0.503467	+	0.864014i	$0.667942\pi$
$174$	−1.62786	−	0.753977i	−0.123408	−	0.0571589i
$175$	−0.315126	+	3.35888i	−0.0238213	+	0.253908i
$176$	−16.2965	−	2.70041i	−1.22839	−	0.203551i
$177$	−4.43964	+	4.43964i	−0.333704	+	0.333704i
$178$	8.25781	+	22.5073i	0.618949	+	1.68699i
$179$	−11.6248			−0.868879			−0.434439	−	0.900701i	$-0.643053\pi$
$179$	−11.6248			−0.868879			−0.434439	+	0.900701i	$0.643053\pi$
$180$	3.13134	+	11.5926i	0.233396	+	0.864059i
$181$	6.67011			0.495786			0.247893	−	0.968787i	$-0.420262\pi$
$181$	6.67011			0.495786			0.247893	+	0.968787i	$0.420262\pi$
$182$	−0.328670	−	0.895816i	−0.0243627	−	0.0664023i
$183$	0.495321	−	0.495321i	0.0366152	−	0.0366152i
$184$	−4.45859	−	16.1390i	−0.328692	−	1.18978i
$185$	10.3844	−	3.74274i	0.763477	−	0.275172i
$186$	4.59920	+	2.13021i	0.337229	+	0.156195i
$187$	1.16727	+	1.16727i	0.0853589	+	0.0853589i
$188$	−5.92818	−	0.487840i	−0.432357	−	0.0355794i
$189$			2.15261i			0.156579i
$190$	−21.4080	−	1.88503i	−1.55310	−	0.136754i
$191$			2.00979i			0.145423i	0.997353	+	0.0727116i	$0.0231653\pi$
$191$			2.00979i			0.145423i	−0.997353	+	0.0727116i	$0.976835\pi$
$192$	−4.35393	−	1.09469i	−0.314218	−	0.0790024i
$193$	−13.8316	−	13.8316i	−0.995621	−	0.995621i	0.00436966	−	0.999990i	$-0.498609\pi$
$193$	−13.8316	−	13.8316i	−0.995621	−	0.995621i	−0.999990	+	0.00436966i	$0.998609\pi$
$194$	2.18328	−	4.71377i	0.156750	−	0.338429i
$195$	1.13560	+	0.533884i	0.0813218	+	0.0382322i
$196$	−8.46539	−	9.98358i	−0.604671	−	0.713113i
$197$	4.54345	−	4.54345i	0.323708	−	0.323708i	−0.526480	−	0.850188i	$-0.676488\pi$
$197$	4.54345	−	4.54345i	0.323708	−	0.323708i	0.850188	+	0.526480i	$0.176488\pi$
$198$	−14.7219	+	5.40138i	−1.04624	+	0.383859i
$199$	9.96517			0.706412			0.353206	−	0.935546i	$-0.385091\pi$
$199$	9.96517			0.706412			0.353206	+	0.935546i	$0.385091\pi$
$200$	−13.9237	+	2.47610i	−0.984553	+	0.175087i
$201$	−6.69686			−0.472360
$202$	16.5996	−	6.09030i	1.16794	−	0.428512i
$203$	−1.07849	+	1.07849i	−0.0756952	+	0.0756952i
$204$	0.290152	+	0.342188i	0.0203147	+	0.0239580i
$205$	6.33869	+	2.98004i	0.442714	+	0.208135i
$206$	2.86092	−	6.17682i	0.199330	−	0.430360i
$207$	−11.2394	−	11.2394i	−0.781195	−	0.781195i
$208$	3.25276	−	2.32800i	0.225538	−	0.161417i
$209$		−	28.0653i		−	1.94131i
$210$	−1.19276	−	0.105025i	−0.0823081	−	0.00724742i
$211$			13.5418i			0.932253i	0.884718	+	0.466127i	$0.154351\pi$
$211$			13.5418i			0.932253i	−0.884718	+	0.466127i	$0.845649\pi$
$212$	−10.0124	−	0.823940i	−0.687656	−	0.0565884i
$213$	5.88425	+	5.88425i	0.403182	+	0.403182i
$214$	−7.12071	−	3.29810i	−0.486762	−	0.225454i
$215$	−9.34681	+	3.36877i	−0.637447	+	0.229748i
$216$	−8.69786	+	2.40289i	−0.591814	+	0.163496i
$217$	3.04706	−	3.04706i	0.206848	−	0.206848i
$218$	−6.96887	−	18.9942i	−0.471992	−	1.28645i
$219$	−2.69086			−0.181831
$220$	−4.81602	−	17.8295i	−0.324696	−	1.20206i
$221$	−0.399733			−0.0268889
$222$	1.34943	+	3.67799i	0.0905681	+	0.246850i
$223$	4.34527	−	4.34527i	0.290981	−	0.290981i	−0.546487	−	0.837468i	$-0.684035\pi$
$223$	4.34527	−	4.34527i	0.290981	−	0.290981i	0.837468	+	0.546487i	$0.184035\pi$
$224$	−2.14873	+	3.15454i	−0.143568	+	0.210772i
$225$	−10.3384	+	8.56493i	−0.689228	+	0.570995i
$226$	20.3847	+	9.44159i	1.35597	+	0.628046i
$227$	1.20822	+	1.20822i	0.0801924	+	0.0801924i	0.746065	−	0.665873i	$-0.231941\pi$
$227$	1.20822	+	1.20822i	0.0801924	+	0.0801924i	−0.665873	+	0.746065i	$0.731941\pi$
$228$	0.625570	−	7.60186i	0.0414294	−	0.503446i
$229$			28.9612i			1.91381i	0.290401	+	0.956905i	$0.406211\pi$
$229$			28.9612i			1.91381i	−0.290401	+	0.956905i	$0.593789\pi$
$230$	14.3470	−	12.0249i	0.946012	−	0.792897i
$231$		−	1.56367i		−	0.102882i
$232$	−5.56164	−	3.15388i	−0.365140	−	0.207062i
$233$	4.66377	+	4.66377i	0.305534	+	0.305534i	0.843174	−	0.537640i	$-0.180684\pi$
$233$	4.66377	+	4.66377i	0.305534	+	0.305534i	−0.537640	+	0.843174i	$0.680684\pi$
$234$	1.59591	−	3.44563i	0.104328	−	0.225248i
$235$	−2.25491	−	6.25635i	−0.147094	−	0.408120i
$236$	−17.0669	+	14.4715i	−1.11096	+	0.942017i
$237$	−4.04482	+	4.04482i	−0.262739	+	0.262739i
$238$	0.358087	−	0.131380i	0.0232113	−	0.00851611i
$239$	−3.91031			−0.252937			−0.126468	−	0.991971i	$-0.540364\pi$
$239$	−3.91031			−0.252937			−0.126468	+	0.991971i	$0.540364\pi$
$240$	−0.907070	−	4.93670i	−0.0585511	−	0.318663i
$241$	−4.12175			−0.265505			−0.132753	−	0.991149i	$-0.542382\pi$
$241$	−4.12175			−0.265505			−0.132753	+	0.991149i	$0.542382\pi$
$242$	8.03796	−	2.94908i	0.516700	−	0.189574i
$243$	−9.25374	+	9.25374i	−0.593628	+	0.593628i
$244$	1.90412	−	1.61456i	0.121899	−	0.103362i
$245$	6.22641	−	13.2439i	0.397791	−	0.846120i
$246$	−1.04480	+	2.25575i	−0.0666138	+	0.143821i
$247$	4.80550	+	4.80550i	0.305767	+	0.305767i
$248$	15.7133	+	8.91065i	0.997796	+	0.565827i
$249$		−	0.327185i		−	0.0207345i
$250$	−8.98026	−	13.0136i	−0.567962	−	0.823055i
$251$		−	10.0017i		−	0.631302i	−0.948875	−	0.315651i	$-0.897777\pi$
$251$		−	10.0017i		−	0.631302i	0.948875	−	0.315651i	$-0.102223\pi$
$252$	−0.297170	+	3.61118i	−0.0187199	+	0.227483i
$253$	17.2863	+	17.2863i	1.08678	+	1.08678i
$254$	−17.1977	−	7.96548i	−1.07908	−	0.499798i
$255$	−0.213411	+	0.453935i	−0.0133643	+	0.0284265i
$256$	−15.1448	−	5.16087i	−0.946551	−	0.322554i
$257$	4.10932	−	4.10932i	0.256332	−	0.256332i	−0.567228	−	0.823561i	$-0.691984\pi$
$257$	4.10932	−	4.10932i	0.256332	−	0.256332i	0.823561	+	0.567228i	$0.191984\pi$
$258$	−1.21460	−	3.31049i	−0.0756177	−	0.206102i
$259$	3.33077			0.206964
$260$	3.87749	+	2.22824i	0.240472	+	0.138189i
$261$	−6.06961			−0.375699
$262$	−0.196334	−	0.535124i	−0.0121296	−	0.0330601i
$263$	0.476830	−	0.476830i	0.0294026	−	0.0294026i	−0.692253	−	0.721655i	$-0.743382\pi$
$263$	0.476830	−	0.476830i	0.0294026	−	0.0294026i	0.721655	+	0.692253i	$0.243382\pi$
$264$	6.31817	−	1.74547i	0.388856	−	0.107426i
$265$	−3.80844	−	10.5667i	−0.233951	−	0.649108i
$266$	−5.88427	−	2.72542i	−0.360788	−	0.167106i
$267$	−6.72696	−	6.72696i	−0.411683	−	0.411683i
$268$	−23.7867	−	1.95745i	−1.45300	−	0.119570i
$269$		−	4.67122i		−	0.284810i	−0.989809	−	0.142405i	$-0.954517\pi$
$269$		−	4.67122i		−	0.284810i	0.989809	−	0.142405i	$-0.0454835\pi$
$270$	−6.48061	−	7.73207i	−0.394398	−	0.470559i
$271$			23.3689i			1.41956i	0.704423	+	0.709781i	$0.251206\pi$
$271$			23.3689i			1.41956i	−0.704423	+	0.709781i	$0.748794\pi$
$272$	0.930576	+	1.30023i	0.0564245	+	0.0788382i
$273$	0.267741	+	0.267741i	0.0162044	+	0.0162044i
$274$	−12.6649	+	27.3440i	−0.765116	+	1.65191i
$275$	15.9006	−	13.1729i	0.958840	−	0.794358i
$276$	4.29693	+	5.06755i	0.258645	+	0.305031i
$277$	6.48537	−	6.48537i	0.389668	−	0.389668i	−0.484901	−	0.874569i	$-0.661144\pi$
$277$	6.48537	−	6.48537i	0.389668	−	0.389668i	0.874569	+	0.484901i	$0.161144\pi$
$278$	−11.4212	+	4.19037i	−0.684997	+	0.251322i
$279$	17.1485			1.02665
$280$	−4.20588	−	0.721675i	−0.251349	−	0.0431283i
$281$	22.1253			1.31988			0.659942	−	0.751317i	$-0.270581\pi$
$281$	22.1253			1.31988			0.659942	+	0.751317i	$0.270581\pi$
$282$	2.21590	−	0.813001i	0.131955	−	0.0484135i
$283$	12.3982	−	12.3982i	0.736994	−	0.736994i	−0.235001	−	0.971995i	$-0.575509\pi$
$283$	12.3982	−	12.3982i	0.736994	−	0.736994i	0.971995	+	0.235001i	$0.0755093\pi$
$284$	19.1804	+	22.6203i	1.13815	+	1.34227i
$285$	8.02269	−	2.89153i	0.475223	−	0.171280i
$286$	−2.45453	+	5.29940i	−0.145139	+	0.313360i
$287$	1.49448	+	1.49448i	0.0882163	+	0.0882163i
$288$	−14.9231	+	2.83029i	−0.879350	+	0.166776i
$289$			16.8402i			0.990601i
$290$	0.627000	−	7.12077i	0.0368187	−	0.418146i
$291$			2.06138i			0.120841i
$292$	−9.55770	−	0.786520i	−0.559322	−	0.0460276i
$293$	18.7805	+	18.7805i	1.09717	+	1.09717i	0.994741	+	0.102425i	$0.0326602\pi$
$293$	18.7805	+	18.7805i	1.09717	+	1.09717i	0.102425	+	0.994741i	$0.467340\pi$
$294$	4.71309	+	2.18297i	0.274873	+	0.127313i
$295$	−22.6403	−	10.6440i	−1.31817	−	0.619719i
$296$	3.71802	+	13.4583i	0.216106	+	0.782249i
$297$	9.31619	−	9.31619i	0.540580	−	0.540580i
$298$	−6.51404	−	17.7545i	−0.377348	−	1.02849i
$299$	−5.91974			−0.342347
$300$	4.60051	−	3.21365i	0.265611	−	0.185540i
$301$	−2.99796			−0.172800
$302$	6.41405	+	17.4820i	0.369087	+	1.00598i
$303$	−4.96127	+	4.96127i	−0.285018	+	0.285018i
$304$	4.44394	−	26.8183i	0.254878	−	1.53814i
$305$	2.52594	+	1.18753i	0.144635	+	0.0679978i
$306$	1.37733	+	0.637938i	0.0787367	+	0.0364685i
$307$	17.7535	+	17.7535i	1.01325	+	1.01325i	0.999911	+	0.0133370i	$0.00424541\pi$
$307$	17.7535	+	17.7535i	1.01325	+	1.01325i	0.0133370	+	0.999911i	$0.495755\pi$
$308$	0.457049	−	5.55402i	0.0260428	−	0.316470i
$309$			2.70119i			0.153665i
$310$	−1.77146	+	20.1183i	−0.100612	+	1.14264i
$311$		−	2.76330i		−	0.156692i	−0.996926	−	0.0783462i	$-0.975036\pi$
$311$		−	2.76330i		−	0.156692i	0.996926	−	0.0783462i	$-0.0249639\pi$
$312$	−0.782965	+	1.38070i	−0.0443267	+	0.0781670i
$313$	−15.3877	−	15.3877i	−0.869762	−	0.869762i	0.122684	−	0.992446i	$-0.460850\pi$
$313$	−15.3877	−	15.3877i	−0.869762	−	0.869762i	−0.992446	+	0.122684i	$0.960850\pi$
$314$	−2.49436	+	5.38539i	−0.140765	+	0.303915i
$315$	−3.81109	+	1.37359i	−0.214730	+	0.0773930i
$316$	−15.5491	+	13.1846i	−0.874707	+	0.741691i
$317$	7.69697	−	7.69697i	0.432305	−	0.432305i	−0.457107	−	0.889412i	$-0.651114\pi$
$317$	7.69697	−	7.69697i	0.432305	−	0.432305i	0.889412	+	0.457107i	$0.151114\pi$
$318$	3.74256	−	1.37312i	0.209872	−	0.0770009i
$319$	9.33511			0.522666
$320$	−1.77887	−	17.7999i	−0.0994419	−	0.995043i
$321$	3.11396			0.173805
$322$	5.30300	−	1.94564i	0.295525	−	0.108426i
$323$	−1.92092	+	1.92092i	−0.106883	+	0.106883i
$324$	−9.55666	+	8.10338i	−0.530925	+	0.450188i
$325$	−0.467043	+	4.97814i	−0.0259069	+	0.276137i
$326$	−5.41065	+	11.6818i	−0.299668	+	0.646993i
$327$	5.67697	+	5.67697i	0.313937	+	0.313937i
$328$	−4.37037	+	7.70684i	−0.241313	+	0.425539i
$329$		−	2.00671i		−	0.110633i
$330$	4.70755	+	5.61662i	0.259142	+	0.309185i
$331$		−	20.5227i		−	1.12803i	−0.825764	−	0.564016i	$-0.809256\pi$
$331$		−	20.5227i		−	1.12803i	0.825764	−	0.564016i	$-0.190744\pi$
$332$	0.0956339	−	1.16213i	0.00524859	−	0.0637804i
$333$	9.37257	+	9.37257i	0.513614	+	0.513614i
$334$	31.6728	+	14.6699i	1.73306	+	0.802702i
$335$	−9.04778	−	25.1035i	−0.494333	−	1.37155i
$336$	0.247596	−	1.49420i	0.0135075	−	0.0815150i
$337$	−21.6166	+	21.6166i	−1.17753	+	1.17753i	−0.197160	+	0.980371i	$0.563172\pi$
$337$	−21.6166	+	21.6166i	−1.17753	+	1.17753i	−0.980371	+	0.197160i	$0.936828\pi$
$338$	−0.487116	−	1.32767i	−0.0264956	−	0.0722159i
$339$	−8.91446			−0.484167
$340$	−0.890699	+	1.54996i	−0.0483050	+	0.0840584i
$341$	−26.3745			−1.42826
$342$	−8.88880	−	24.2271i	−0.480651	−	1.31005i
$343$	6.46224	−	6.46224i	0.348928	−	0.348928i
$344$	−3.34653	−	12.1136i	−0.180433	−	0.653121i
$345$	−3.16045	+	6.72244i	−0.170153	+	0.361924i
$346$	−8.60621	−	3.98614i	−0.462673	−	0.214296i
$347$	6.24824	+	6.24824i	0.335423	+	0.335423i	0.854642	−	0.519218i	$-0.173777\pi$
$347$	6.24824	+	6.24824i	0.335423	+	0.335423i	−0.519218	+	0.854642i	$0.673777\pi$
$348$	2.52854	+	0.208078i	0.135544	+	0.0111542i
$349$		−	3.89984i		−	0.208753i	−0.994538	−	0.104377i	$-0.966715\pi$
$349$		−	3.89984i		−	0.208753i	0.994538	−	0.104377i	$-0.0332848\pi$
$350$	−1.21778	−	4.61300i	−0.0650931	−	0.246575i
$351$			3.19035i			0.170288i
$352$	22.9518	−	4.35300i	1.22333	−	0.232016i
$353$	14.6707	+	14.6707i	0.780840	+	0.780840i	0.979973	−	0.199133i	$-0.0638124\pi$
$353$	14.6707	+	14.6707i	0.780840	+	0.780840i	−0.199133	+	0.979973i	$0.563812\pi$
$354$	3.73177	−	8.05701i	0.198341	−	0.428225i
$355$	−14.1075	+	30.0073i	−0.748747	+	1.59262i
$356$	−21.9274	−	25.8598i	−1.16215	−	1.37057i
$357$	−0.107025	+	0.107025i	−0.00566435	+	0.00566435i
$358$	15.4339	−	5.66263i	0.815709	−	0.299279i
$359$	24.5997			1.29832			0.649162	−	0.760650i	$-0.275120\pi$
$359$	24.5997			1.29832			0.649162	+	0.760650i	$0.275120\pi$
$360$	−9.80432	−	13.8658i	−0.516733	−	0.730793i
$361$	27.1857			1.43083
$362$	−8.85574	+	3.24912i	−0.465447	+	0.170770i
$363$	−2.40238	+	2.40238i	−0.126092	+	0.126092i
$364$	0.872734	+	1.02925i	0.0457437	+	0.0539474i
$365$	−3.63548	−	10.0868i	−0.190290	−	0.527968i
$366$	−0.416346	+	0.898904i	−0.0217627	+	0.0469864i
$367$	8.35046	+	8.35046i	0.435891	+	0.435891i	0.890626	−	0.454736i	$-0.150266\pi$
$367$	8.35046	+	8.35046i	0.435891	+	0.435891i	−0.454736	+	0.890626i	$0.650266\pi$
$368$	13.7811	+	19.2555i	0.718391	+	1.00376i
$369$			8.41074i			0.437846i
$370$	−11.9640	+	10.0275i	−0.621976	+	0.521307i
$371$		−	3.38924i		−	0.175961i
$372$	−7.14389	−	0.587883i	−0.370394	−	0.0304803i
$373$	−14.7736	−	14.7736i	−0.764948	−	0.764948i	0.212264	−	0.977212i	$-0.431916\pi$
$373$	−14.7736	−	14.7736i	−0.764948	−	0.764948i	−0.977212	+	0.212264i	$0.931916\pi$
$374$	−2.11834	−	0.981154i	−0.109537	−	0.0507343i
$375$	5.40381	+	3.18812i	0.279052	+	0.164634i
$376$	8.10832	−	2.24002i	0.418155	−	0.115520i
$377$	−1.59841	+	1.59841i	−0.0823225	+	0.0823225i
$378$	−1.04857	−	2.85797i	−0.0539328	−	0.146998i
$379$	−13.3405			−0.685256			−0.342628	−	0.939471i	$-0.611317\pi$
$379$	−13.3405			−0.685256			−0.342628	+	0.939471i	$0.611317\pi$
$380$	29.3411	−	7.92550i	1.50517	−	0.406570i
$381$	7.52075			0.385300
$382$	−0.979001	−	2.66834i	−0.0500900	−	0.136524i
$383$	23.6943	−	23.6943i	1.21072	−	1.21072i	0.239933	−	0.970789i	$-0.422875\pi$
$383$	23.6943	−	23.6943i	1.21072	−	1.21072i	0.970789	−	0.239933i	$-0.0771254\pi$
$384$	6.31384	−	0.667480i	0.322202	−	0.0340622i
$385$	5.86148	−	2.11259i	0.298729	−	0.107668i
$386$	25.1015	+	11.6263i	1.27763	+	0.591761i
$387$	−8.43608	−	8.43608i	−0.428830	−	0.428830i
$388$	−0.602528	+	7.32186i	−0.0305887	+	0.371711i
$389$		−	2.92067i		−	0.148084i	−0.997255	−	0.0740418i	$-0.976410\pi$
$389$		−	2.92067i		−	0.148084i	0.997255	−	0.0740418i	$-0.0235898\pi$
$390$	−1.76777	−	0.155656i	−0.0895143	−	0.00788194i
$391$		−	2.36631i		−	0.119670i
$392$	16.1024	+	9.13131i	0.813296	+	0.461201i
$393$	0.159938	+	0.159938i	0.00806778	+	0.00806778i
$394$	−3.81903	+	8.24541i	−0.192400	+	0.415398i
$395$	−20.6269	−	9.69745i	−1.03785	−	0.487932i
$396$	16.9148	−	14.3425i	0.849999	−	0.720740i
$397$	−18.8464	+	18.8464i	−0.945876	+	0.945876i	−0.998609	−	0.0527325i	$-0.983207\pi$
$397$	−18.8464	+	18.8464i	−0.945876	+	0.945876i	0.0527325	+	0.998609i	$0.483207\pi$
$398$	−13.2305	+	4.85420i	−0.663185	+	0.243319i
$399$	2.57326			0.128824
$400$	17.2800	−	10.0699i	0.863998	−	0.503496i
$401$	−4.36969			−0.218212			−0.109106	−	0.994030i	$-0.534799\pi$
$401$	−4.36969			−0.218212			−0.109106	+	0.994030i	$0.534799\pi$
$402$	8.89125	−	3.26215i	0.443455	−	0.162701i
$403$	4.51600	−	4.51600i	0.224958	−	0.224958i
$404$	−19.0722	+	16.1719i	−0.948876	+	0.804581i
$405$	−12.6775	−	5.96015i	−0.629952	−	0.296162i
$406$	0.906534	−	1.95724i	0.0449905	−	0.0971359i
$407$	−14.4151	−	14.4151i	−0.714529	−	0.714529i
$408$	−0.551913	−	0.312977i	−0.0273238	−	0.0154947i
$409$			4.50695i			0.222854i	0.993773	+	0.111427i	$0.0355422\pi$
$409$			4.50695i			0.222854i	−0.993773	+	0.111427i	$0.964458\pi$
$410$	−9.86734	−	0.868843i	−0.487313	−	0.0429091i
$411$		−	11.9578i		−	0.589836i
$412$	−0.789540	+	9.59441i	−0.0388978	+	0.472682i
$413$	−5.33793	−	5.33793i	−0.262663	−	0.262663i
$414$	20.3972	+	9.44739i	1.00247	+	0.464314i
$415$	1.22647	−	0.442043i	0.0602049	−	0.0216990i
$416$	−3.18460	+	4.67529i	−0.156138	+	0.229225i
$417$	3.41355	−	3.41355i	0.167162	−	0.167162i
$418$	13.6710	+	37.2615i	0.668673	+	1.82252i
$419$	18.5650			0.906962			0.453481	−	0.891266i	$-0.350182\pi$
$419$	18.5650			0.906962			0.453481	+	0.891266i	$0.350182\pi$
$420$	1.63475	−	0.441573i	0.0797678	−	0.0215465i
$421$	−12.6368			−0.615881			−0.307940	−	0.951406i	$-0.599640\pi$
$421$	−12.6368			−0.615881			−0.307940	+	0.951406i	$0.599640\pi$
$422$	−6.59641	−	17.9790i	−0.321108	−	0.875206i
$423$	5.64675	−	5.64675i	0.274554	−	0.274554i
$424$	13.6946	−	3.78330i	0.665068	−	0.183733i
$425$	−1.98992	−	0.186692i	−0.0965255	−	0.00905591i
$426$	−10.6787	−	4.94605i	−0.517383	−	0.239637i
$427$	0.595542	+	0.595542i	0.0288203	+	0.0288203i
$428$	11.0605	+	0.910190i	0.534631	+	0.0439957i
$429$		−	2.31749i		−	0.111889i
$430$	10.7685	−	9.02561i	0.519305	−	0.435254i
$431$			12.4884i			0.601544i	0.953696	+	0.300772i	$0.0972443\pi$
$431$			12.4884i			0.601544i	−0.953696	+	0.300772i	$0.902756\pi$
$432$	10.3774	−	7.42712i	0.499285	−	0.357338i
$433$	−12.5876	−	12.5876i	−0.604921	−	0.604921i	0.336694	−	0.941614i	$-0.390691\pi$
$433$	−12.5876	−	12.5876i	−0.604921	−	0.604921i	−0.941614	+	0.336694i	$0.890691\pi$
$434$	−2.56123	+	5.52978i	−0.122943	+	0.265438i
$435$	0.961786	+	2.66852i	0.0461141	+	0.127946i
$436$	18.5048	+	21.8235i	0.886218	+	1.04515i
$437$	−28.4473	+	28.4473i	−1.36082	+	1.36082i
$438$	3.57258	−	1.31076i	0.170705	−	0.0626306i
$439$	−15.6930			−0.748987			−0.374494	−	0.927229i	$-0.622183\pi$
$439$	−15.6930			−0.748987			−0.374494	+	0.927229i	$0.622183\pi$
$440$	15.0791	+	21.3257i	0.718869	+	1.01666i
$441$	17.5731			0.836816
$442$	0.530714	−	0.194716i	0.0252435	−	0.00926171i
$443$	−25.4951	+	25.4951i	−1.21131	+	1.21131i	−0.240712	+	0.970597i	$0.577381\pi$
$443$	−25.4951	+	25.4951i	−1.21131	+	1.21131i	−0.970597	+	0.240712i	$0.922619\pi$
$444$	−3.58322	−	4.22584i	−0.170052	−	0.200549i
$445$	16.1279	−	34.3048i	0.764535	−	1.62620i
$446$	−3.65245	+	7.88575i	−0.172948	+	0.373401i
$447$	5.30645	+	5.30645i	0.250987	+	0.250987i
$448$	1.31618	−	5.23488i	0.0621839	−	0.247325i
$449$		−	18.4241i		−	0.869486i	−0.900555	−	0.434743i	$-0.856839\pi$
$449$		−	18.4241i		−	0.869486i	0.900555	−	0.434743i	$-0.143161\pi$
$450$	9.55393	−	16.4075i	0.450377	−	0.773455i
$451$		−	12.9358i		−	0.609122i
$452$	−31.6634	−	2.60563i	−1.48932	−	0.122559i
$453$	−5.22500	−	5.22500i	−0.245492	−	0.245492i
$454$	−2.19267	−	1.01558i	−0.102907	−	0.0476635i
$455$	−0.641908	+	1.36537i	−0.0300931	+	0.0640095i
$456$	2.87244	+	10.3975i	0.134514	+	0.486909i
$457$	−10.1404	+	10.1404i	−0.474346	+	0.474346i	−0.903318	−	0.428972i	$-0.858876\pi$
$457$	−10.1404	+	10.1404i	−0.474346	+	0.474346i	0.428972	+	0.903318i	$0.358876\pi$
$458$	−14.1075	−	38.4510i	−0.659199	−	1.79670i
$459$	−1.27529			−0.0595253
$460$	−13.1906	+	22.9538i	−0.615014	+	1.07022i
$461$	−10.3914			−0.483976			−0.241988	−	0.970279i	$-0.577799\pi$
$461$	−10.3914			−0.483976			−0.241988	+	0.970279i	$0.577799\pi$
$462$	0.761689	+	2.07604i	0.0354370	+	0.0965862i
$463$	−28.6939	+	28.6939i	−1.33352	+	1.33352i	−0.431323	+	0.902198i	$0.641953\pi$
$463$	−28.6939	+	28.6939i	−1.33352	+	1.33352i	−0.902198	+	0.431323i	$0.858047\pi$
$464$	8.92035	+	1.47815i	0.414117	+	0.0686214i
$465$	−2.71733	−	7.53937i	−0.126013	−	0.349630i
$466$	−8.46377	−	3.92017i	−0.392076	−	0.181598i
$467$	21.0756	+	21.0756i	0.975261	+	0.975261i	0.999701	−	0.0244401i	$-0.00778029\pi$
$467$	21.0756	+	21.0756i	0.975261	+	0.975261i	−0.0244401	+	0.999701i	$0.507780\pi$
$468$	−0.440430	+	5.35206i	−0.0203589	+	0.247399i
$469$		−	8.05188i		−	0.371801i
$470$	6.04136	+	7.20799i	0.278667	+	0.332480i
$471$		−	2.35509i		−	0.108517i
$472$	15.6099	−	27.5271i	0.718506	−	1.26704i
$473$	12.9748	+	12.9748i	0.596580	+	0.596580i
$474$	3.39991	−	7.34050i	0.156163	−	0.337160i
$475$	21.6781	+	26.1668i	0.994659	+	1.20062i
$476$	−0.411425	+	0.348860i	−0.0188576	+	0.0159900i
$477$	9.53711	−	9.53711i	0.436674	−	0.436674i
$478$	5.19162	−	1.90478i	0.237459	−	0.0871224i
$479$	2.23544			0.102140			0.0510700	−	0.998695i	$-0.483737\pi$
$479$	2.23544			0.102140			0.0510700	+	0.998695i	$0.483737\pi$
$480$	3.60904	+	6.11248i	0.164729	+	0.278995i
$481$	4.93648			0.225084
$482$	5.47234	−	2.00777i	0.249258	−	0.0914515i
$483$	−1.58496	+	1.58496i	−0.0721180	+	0.0721180i
$484$	−9.23524	+	7.83084i	−0.419784	+	0.355947i
$485$	−7.72719	+	2.78503i	−0.350874	+	0.126462i
$486$	7.77830	−	16.7936i	0.352831	−	0.761773i
$487$	−21.7388	−	21.7388i	−0.985080	−	0.985080i	0.0148107	−	0.999890i	$-0.495285\pi$
$487$	−21.7388	−	21.7388i	−0.985080	−	0.985080i	−0.999890	+	0.0148107i	$0.995285\pi$
$488$	−1.74157	+	3.07113i	−0.0788371	+	0.139024i
$489$		−	5.10857i		−	0.231017i
$490$	−1.81533	+	20.6165i	−0.0820084	+	0.931360i
$491$			28.0576i			1.26622i	0.774061	+	0.633111i	$0.218222\pi$
$491$			28.0576i			1.26622i	−0.774061	+	0.633111i	$0.781778\pi$
$492$	0.288337	−	3.50384i	0.0129992	−	0.157965i
$493$	−0.638938	−	0.638938i	−0.0287763	−	0.0287763i
$494$	−8.72098	−	4.03930i	−0.392375	−	0.181737i
$495$	22.4385	+	10.5491i	1.00854	+	0.474149i
$496$	−25.2027	−	4.17622i	−1.13163	−	0.187518i
$497$	−7.07484	+	7.07484i	−0.317350	+	0.317350i
$498$	0.159377	+	0.434395i	0.00714186	+	0.0194657i
$499$	27.1042			1.21335			0.606676	−	0.794949i	$-0.292503\pi$
$499$	27.1042			1.21335			0.606676	+	0.794949i	$0.292503\pi$
$500$	18.2620	+	12.9034i	0.816702	+	0.577059i
$501$	−13.8509			−0.618811
$502$	4.87199	+	13.2790i	0.217448	+	0.592670i
$503$	−13.4274	+	13.4274i	−0.598699	+	0.598699i	−0.939966	−	0.341268i	$-0.889144\pi$
$503$	−13.4274	+	13.4274i	−0.598699	+	0.598699i	0.341268	+	0.939966i	$0.389144\pi$
$504$	−1.36452	−	4.93922i	−0.0607805	−	0.220010i
$505$	−25.3005	−	11.8946i	−1.12586	−	0.529305i
$506$	−31.3711	−	14.5302i	−1.39461	−	0.645944i
$507$	0.396814	+	0.396814i	0.0176231	+	0.0176231i
$508$	26.7131	+	2.19826i	1.18520	+	0.0975322i
$509$		−	20.6331i		−	0.914546i	−0.889326	−	0.457273i	$-0.848826\pi$
$509$		−	20.6331i		−	0.914546i	0.889326	−	0.457273i	$-0.151174\pi$
$510$	0.0622207	−	0.706634i	0.00275518	−	0.0312903i
$511$		−	3.23532i		−	0.143122i
$512$	22.6213	−	0.525340i	0.999730	−	0.0232170i
$513$	15.3312	+	15.3312i	0.676890	+	0.676890i
$514$	−3.45412	+	7.45755i	−0.152355	+	0.328939i
$515$	−10.1255	+	3.64944i	−0.446185	+	0.160814i
$516$	3.22519	+	3.80360i	0.141981	+	0.167444i
$517$	−8.68474	+	8.68474i	−0.381955	+	0.381955i
$518$	−4.42217	+	1.62247i	−0.194299	+	0.0712873i
$519$	3.76359			0.165203
$520$	−6.23346	−	1.06958i	−0.273355	−	0.0469043i
$521$	12.9140			0.565771			0.282886	−	0.959154i	$-0.408708\pi$
$521$	12.9140			0.565771			0.282886	+	0.959154i	$0.408708\pi$
$522$	8.05846	−	2.95661i	0.352709	−	0.129407i
$523$	−3.59192	+	3.59192i	−0.157064	+	0.157064i	−0.781264	−	0.624200i	$-0.785425\pi$
$523$	−3.59192	+	3.59192i	−0.157064	+	0.157064i	0.624200	+	0.781264i	$0.285425\pi$
$524$	0.521336	+	0.614833i	0.0227747	+	0.0268591i
$525$	1.20780	+	1.45790i	0.0527129	+	0.0636278i
$526$	−0.400803	+	0.865346i	−0.0174758	+	0.0377309i
$527$	1.80519	+	1.80519i	0.0786354	+	0.0786354i
$528$	−7.53822	+	5.39510i	−0.328059	+	0.234792i
$529$		−	12.0433i		−	0.523623i
$530$	10.2036	+	12.1740i	0.443215	+	0.528804i
$531$		−	30.0412i		−	1.30368i
$532$	9.13999	+	0.752145i	0.396269	+	0.0326096i
$533$	2.21494	+	2.21494i	0.0959398	+	0.0959398i
$534$	12.2080	+	5.65440i	0.528293	+	0.244690i
$535$	4.20711	+	11.6728i	0.181889	+	0.504661i
$536$	32.5345	−	8.98804i	1.40528	−	0.388224i
$537$	−4.61288	+	4.61288i	−0.199061	+	0.199061i
$538$	2.27543	+	6.20186i	0.0981007	+	0.267381i
$539$	−27.0276			−1.16416
$540$	12.3706	+	7.10886i	0.532344	+	0.305917i
$541$	26.0058			1.11808			0.559038	−	0.829142i	$-0.311170\pi$
$541$	26.0058			1.11808			0.559038	+	0.829142i	$0.311170\pi$
$542$	−11.3834	−	31.0263i	−0.488958	−	1.33269i
$543$	2.64679	−	2.64679i	0.113585	−	0.113585i
$544$	−1.86887	−	1.27299i	−0.0801270	−	0.0545789i
$545$	−13.6105	+	28.9502i	−0.583011	+	1.24009i
$546$	−0.485893	−	0.225051i	−0.0207943	−	0.00963131i
$547$	−7.31204	−	7.31204i	−0.312640	−	0.312640i	0.533291	−	0.845932i	$-0.320955\pi$
$547$	−7.31204	−	7.31204i	−0.312640	−	0.312640i	−0.845932	+	0.533291i	$0.820955\pi$
$548$	3.49519	−	42.4732i	0.149307	−	1.81436i
$549$			3.35163i			0.143044i
$550$	−14.6940	+	25.2348i	−0.626555	+	1.07601i
$551$			15.3624i			0.654458i
$552$	−8.17341	−	4.63495i	−0.347884	−	0.197277i
$553$	−4.86323	−	4.86323i	−0.206806	−	0.206806i
$554$	−5.45132	+	11.7696i	−0.231605	+	0.500042i
$555$	2.63551	−	5.60585i	0.111871	−	0.237955i
$556$	13.1224	−	11.1269i	0.556514	−	0.471885i
$557$	10.8132	−	10.8132i	0.458169	−	0.458169i	−0.439885	−	0.898054i	$-0.644981\pi$
$557$	10.8132	−	10.8132i	0.458169	−	0.458169i	0.898054	+	0.439885i	$0.144981\pi$
$558$	−22.7676	+	8.35330i	−0.963828	+	0.353623i
$559$	−4.44323			−0.187929
$560$	5.93557	−	1.09060i	0.250824	−	0.0460864i
$561$	0.926375			0.0391116
$562$	−29.3751	+	10.7776i	−1.23912	+	0.454625i
$563$	31.4173	−	31.4173i	1.32408	−	1.32408i	0.413645	−	0.910438i	$-0.364255\pi$
$563$	31.4173	−	31.4173i	1.32408	−	1.32408i	0.910438	−	0.413645i	$-0.135745\pi$
$564$	−2.54596	+	2.15880i	−0.107204	+	0.0909019i
$565$	−12.0439	−	33.4162i	−0.506689	−	1.40583i
$566$	−10.4214	+	22.5001i	−0.438043	+	0.945748i
$567$	−2.98899	−	2.98899i	−0.125526	−	0.125526i
$568$	−36.4840	−	20.6892i	−1.53084	−	0.868101i
$569$		−	27.9496i		−	1.17171i	−0.810417	−	0.585853i	$-0.800759\pi$
$569$		−	27.9496i		−	1.17171i	0.810417	−	0.585853i	$-0.199241\pi$
$570$	−9.24301	+	7.74700i	−0.387147	+	0.324486i
$571$		−	16.2190i		−	0.678744i	−0.940652	−	0.339372i	$-0.889785\pi$
$571$		−	16.2190i		−	0.678744i	0.940652	−	0.339372i	$-0.110215\pi$
$572$	0.677385	−	8.23151i	0.0283229	−	0.344177i
$573$	0.797512	+	0.797512i	0.0333165	+	0.0333165i
$574$	−2.71217	−	1.25620i	−0.113204	−	0.0524326i
$575$	−29.4693	−	2.76477i	−1.22895	−	0.115299i
$576$	18.4343	−	11.0270i	0.768095	−	0.459457i
$577$	−24.4926	+	24.4926i	−1.01964	+	1.01964i	−0.0198359	+	0.999803i	$0.506314\pi$
$577$	−24.4926	+	24.4926i	−1.01964	+	1.01964i	−0.999803	+	0.0198359i	$0.993686\pi$
$578$	−8.20314	−	22.3583i	−0.341206	−	0.929983i
$579$	−10.9771			−0.456195
$580$	2.63619	+	9.75948i	0.109462	+	0.405240i
$581$	0.393386			0.0163204
$582$	−1.00413	−	2.73685i	−0.0416227	−	0.113446i
$583$	−14.6681	+	14.6681i	−0.607493	+	0.607493i
$584$	13.0726	−	3.61147i	0.540950	−	0.149444i
$585$	−5.64835	+	2.03577i	−0.233530	+	0.0841688i
$586$	−34.0826	−	15.7860i	−1.40794	−	0.652116i
$587$	7.32237	+	7.32237i	0.302227	+	0.302227i	0.841884	−	0.539658i	$-0.181446\pi$
$587$	7.32237	+	7.32237i	0.302227	+	0.302227i	−0.539658	+	0.841884i	$0.681446\pi$
$588$	−7.32081	−	0.602442i	−0.301905	−	0.0248443i
$589$		−	43.4033i		−	1.78840i
$590$	35.2439	+	3.10331i	1.45097	+	0.127761i
$591$		−	3.60581i		−	0.148323i
$592$	−11.4921	−	16.0572i	−0.472322	−	0.659945i
$593$	−31.9155	−	31.9155i	−1.31061	−	1.31061i	−0.920964	−	0.389649i	$-0.872596\pi$
$593$	−31.9155	−	31.9155i	−1.31061	−	1.31061i	−0.389649	−	0.920964i	$-0.627404\pi$
$594$	−7.83080	+	16.9069i	−0.321301	+	0.693700i
$595$	−0.545782	−	0.256591i	−0.0223749	−	0.0105192i
$596$	17.2970	+	20.3991i	0.708514	+	0.835580i
$597$	3.95432	−	3.95432i	0.161839	−	0.161839i
$598$	7.85948	−	2.88360i	0.321398	−	0.117919i
$599$	−35.5811			−1.45381			−0.726903	−	0.686741i	$-0.759041\pi$
$599$	−35.5811			−1.45381			−0.726903	+	0.686741i	$0.759041\pi$
$600$	−4.54256	+	6.50766i	−0.185449	+	0.265674i
$601$	13.9106			0.567423			0.283712	−	0.958910i	$-0.408434\pi$
$601$	13.9106			0.567423			0.283712	+	0.958910i	$0.408434\pi$
$602$	3.98032	−	1.46036i	0.162226	−	0.0595197i
$603$	22.6575	−	22.6575i	0.922684	−	0.922684i
$604$	−17.0315	−	20.0860i	−0.693004	−	0.817288i
$605$	−12.2511	−	5.75970i	−0.498080	−	0.234165i
$606$	4.17023	−	9.00367i	0.169404	−	0.365749i
$607$	8.63954	+	8.63954i	0.350668	+	0.350668i	0.860358	−	0.509690i	$-0.170240\pi$
$607$	8.63954	+	8.63954i	0.350668	+	0.350668i	−0.509690	+	0.860358i	$0.670240\pi$
$608$	7.16354	+	37.7707i	0.290520	+	1.53180i
$609$			0.855920i			0.0346836i
$610$	−3.93208	−	0.346229i	−0.159205	−	0.0140184i
$611$		−	2.97411i		−	0.120320i
$612$	−2.13939	−	0.176054i	−0.0864799	−	0.00711658i
$613$	3.62256	+	3.62256i	0.146314	+	0.146314i	0.776469	−	0.630155i	$-0.217009\pi$
$613$	3.62256	+	3.62256i	0.146314	+	0.146314i	−0.630155	+	0.776469i	$0.717009\pi$
$614$	−32.2189	−	14.9229i	−1.30025	−	0.602238i
$615$	3.69780	−	1.33276i	0.149110	−	0.0537420i
$616$	2.09864	+	7.59656i	0.0845566	+	0.306074i
$617$	12.7177	−	12.7177i	0.511995	−	0.511995i	−0.403142	−	0.915137i	$-0.632082\pi$
$617$	12.7177	−	12.7177i	0.511995	−	0.511995i	0.915137	+	0.403142i	$0.132082\pi$
$618$	−1.31580	−	3.58630i	−0.0529290	−	0.144262i
$619$	−7.93318			−0.318861			−0.159431	−	0.987209i	$-0.550966\pi$
$619$	−7.93318			−0.318861			−0.159431	+	0.987209i	$0.550966\pi$
$620$	−7.44803	−	27.5735i	−0.299120	−	1.10738i
$621$	−18.8860			−0.757871
$622$	1.34605	+	3.66876i	0.0539716	+	0.147104i
$623$	8.08807	−	8.08807i	0.324042	−	0.324042i
$624$	0.366958	−	2.21452i	0.0146901	−	0.0886518i
$625$	−4.65001	+	24.5637i	−0.186000	+	0.982550i
$626$	27.9254	+	12.9342i	1.11612	+	0.516955i
$627$	−11.1367	−	11.1367i	−0.444756	−	0.444756i
$628$	0.688377	−	8.36509i	0.0274692	−	0.333803i
$629$			1.97327i			0.0786794i
$630$	4.39078	−	3.68012i	0.174933	−	0.146620i
$631$			6.80852i			0.271043i	0.990774	+	0.135521i	$0.0432710\pi$
$631$			6.80852i			0.271043i	−0.990774	+	0.135521i	$0.956729\pi$
$632$	14.2218	−	25.0791i	0.565711	−	0.997592i
$633$	5.37356	+	5.37356i	0.213580	+	0.213580i
$634$	−6.46975	+	13.9684i	−0.256947	+	0.554756i
$635$	10.1609	+	28.1919i	0.403223	+	1.11876i
$636$	−4.30002	+	3.64612i	−0.170507	+	0.144578i
$637$	4.62783	−	4.62783i	0.183361	−	0.183361i
$638$	−12.3940	+	4.54728i	−0.490682	+	0.180029i
$639$	−39.8163			−1.57511
$640$	11.0324	+	22.7659i	0.436093	+	0.899902i
$641$	38.7376			1.53004			0.765022	−	0.644004i	$-0.222728\pi$
$641$	38.7376			1.53004			0.765022	+	0.644004i	$0.222728\pi$
$642$	−4.13433	+	1.51686i	−0.163169	+	0.0598658i
$643$	−28.5706	+	28.5706i	−1.12672	+	1.12672i	−0.136008	+	0.990708i	$0.543427\pi$
$643$	−28.5706	+	28.5706i	−1.12672	+	1.12672i	−0.990708	+	0.136008i	$0.956573\pi$
$644$	−6.09290	+	5.16636i	−0.240094	+	0.203583i
$645$	−2.37217	+	5.04572i	−0.0934041	+	0.198675i
$646$	1.61464	−	3.48606i	0.0635272	−	0.137157i
$647$	22.6536	+	22.6536i	0.890604	+	0.890604i	0.994580	−	0.103976i	$-0.0331564\pi$
$647$	22.6536	+	22.6536i	0.890604	+	0.890604i	−0.103976	+	0.994580i	$0.533156\pi$
$648$	8.74083	−	15.4139i	0.343372	−	0.605513i
$649$			46.2036i			1.81365i
$650$	−1.80485	−	6.83685i	−0.0707921	−	0.268163i
$651$		−	2.41823i		−	0.0947780i
$652$	1.49320	−	18.1452i	0.0584782	−	0.710621i
$653$	14.2480	+	14.2480i	0.557567	+	0.557567i	0.928614	−	0.371047i	$-0.121001\pi$
$653$	14.2480	+	14.2480i	0.557567	+	0.557567i	−0.371047	+	0.928614i	$0.621001\pi$
$654$	−10.3025	−	4.77182i	−0.402860	−	0.186593i
$655$	−0.383450	+	0.815616i	−0.0149826	+	0.0318688i
$656$	2.04829	−	12.3610i	0.0799724	−	0.482618i
$657$	9.10397	−	9.10397i	0.355180	−	0.355180i
$658$	0.977500	+	2.66425i	0.0381069	+	0.103863i
$659$	−39.9047			−1.55447			−0.777233	−	0.629212i	$-0.783378\pi$
$659$	−39.9047			−1.55447			−0.777233	+	0.629212i	$0.783378\pi$
$660$	−8.98604	−	5.16391i	−0.349781	−	0.201005i
$661$	−22.4907			−0.874787			−0.437393	−	0.899270i	$-0.644098\pi$
$661$	−22.4907			−0.874787			−0.437393	+	0.899270i	$0.644098\pi$
$662$	9.99696	+	27.2475i	0.388543	+	1.05900i
$663$	−0.158619	+	0.158619i	−0.00616027	+	0.00616027i
$664$	0.439124	+	1.58952i	0.0170413	+	0.0616853i
$665$	3.47659	+	9.64597i	0.134816	+	0.374055i
$666$	−17.0093	−	7.87818i	−0.659095	−	0.305273i
$667$	−9.46219	−	9.46219i	−0.366377	−	0.366377i
$668$	−49.1971	−	4.04851i	−1.90349	−	0.156642i
$669$		−	3.44852i		−	0.133328i
$670$	24.2408	+	28.9219i	0.936505	+	1.11735i
$671$		−	5.15484i		−	0.199000i
$672$	0.399120	+	2.10441i	0.0153964	+	0.0811794i
$673$	−10.2300	−	10.2300i	−0.394338	−	0.394338i	0.481892	−	0.876231i	$-0.339950\pi$
$673$	−10.2300	−	10.2300i	−0.394338	−	0.394338i	−0.876231	+	0.481892i	$0.839950\pi$
$674$	18.1700	−	39.2296i	0.699882	−	1.51107i
$675$	−1.49003	+	15.8820i	−0.0573513	+	0.611299i
$676$	1.29346	+	1.52544i	0.0497486	+	0.0586706i
$677$	−19.5092	+	19.5092i	−0.749800	+	0.749800i	−0.974441	−	0.224642i	$-0.927879\pi$
$677$	−19.5092	+	19.5092i	−0.749800	+	0.749800i	0.224642	+	0.974441i	$0.427879\pi$
$678$	11.8355	−	4.34238i	0.454539	−	0.166768i
$679$	−2.47848			−0.0951152
$680$	0.427547	−	2.49172i	0.0163957	−	0.0955530i
$681$	0.958877			0.0367443
$682$	35.0167	−	12.8474i	1.34086	−	0.491954i
$683$	28.7846	−	28.7846i	1.10141	−	1.10141i	0.107171	−	0.994241i	$-0.465821\pi$
$683$	28.7846	−	28.7846i	1.10141	−	1.10141i	0.994241	−	0.107171i	$-0.0341791\pi$
$684$	23.6029	+	27.8358i	0.902478	+	1.06433i
$685$	44.8244	−	16.1556i	1.71265	−	0.617273i
$686$	−5.43189	+	11.7276i	−0.207390	+	0.447763i
$687$	11.4922	+	11.4922i	0.438455	+	0.438455i
$688$	10.3438	+	14.4528i	0.394355	+	0.551006i
$689$		−	5.02314i		−	0.191366i
$690$	0.921443	−	10.4647i	0.0350787	−	0.398385i
$691$		−	22.8571i		−	0.869526i	−0.900545	−	0.434763i	$-0.856832\pi$
$691$		−	22.8571i		−	0.869526i	0.900545	−	0.434763i	$-0.143168\pi$
$692$	13.3680	+	1.10007i	0.508173	+	0.0418184i
$693$	5.29035	+	5.29035i	0.200964	+	0.200964i
$694$	−11.3392	−	5.25201i	−0.430432	−	0.199363i
$695$	17.4077	+	8.18398i	0.660313	+	0.310436i
$696$	−3.45844	+	0.955435i	−0.131092	+	0.0362157i
$697$	−0.885385	+	0.885385i	−0.0335363	+	0.0335363i
$698$	1.89967	+	5.17771i	0.0719037	+	0.195979i
$699$	3.70130			0.139996
$700$	3.86388	+	5.53136i	0.146041	+	0.209066i
$701$	14.5556			0.549756			0.274878	−	0.961479i	$-0.411363\pi$
$701$	14.5556			0.549756			0.274878	+	0.961479i	$0.411363\pi$
$702$	−1.55407	−	4.23574i	−0.0586547	−	0.159868i
$703$	23.7222	−	23.7222i	0.894701	−	0.894701i
$704$	−28.3521	+	16.9596i	−1.06856	+	0.639188i
$705$	−3.37739	−	1.58783i	−0.127200	−	0.0598011i
$706$	−26.6242	−	12.3315i	−1.00201	−	0.464103i
$707$	−5.96511	−	5.96511i	−0.224341	−	0.224341i
$708$	−1.02987	+	12.5149i	−0.0387049	+	0.470338i
$709$			15.9737i			0.599907i	0.953954	+	0.299953i	$0.0969711\pi$
$709$			15.9737i			0.599907i	−0.953954	+	0.299953i	$0.903029\pi$
$710$	4.11309	−	46.7118i	0.154361	−	1.75306i
$711$		−	27.3697i		−	1.02644i
$712$	41.7091	+	23.6523i	1.56312	+	0.886406i
$713$	26.7335	+	26.7335i	1.00118	+	1.00118i
$714$	0.0899604	−	0.194227i	0.00336668	−	0.00726878i
$715$	8.68720	−	3.13103i	0.324883	−	0.117094i
$716$	−17.7329	+	15.0363i	−0.662709	+	0.561931i
$717$	−1.55167	+	1.55167i	−0.0579480	+	0.0579480i
$718$	−32.6604	+	11.9829i	−1.21888	+	0.447199i
$719$	−2.30805			−0.0860756			−0.0430378	−	0.999073i	$-0.513704\pi$
$719$	−2.30805			−0.0860756			−0.0430378	+	0.999073i	$0.513704\pi$
$720$	19.7712	+	13.6334i	0.736829	+	0.508088i
$721$	−3.24774			−0.120952
$722$	−36.0937	+	13.2426i	−1.34327	+	0.492839i
$723$	−1.63557	+	1.63557i	−0.0608274	+	0.0608274i
$724$	10.1748	−	8.62755i	0.378144	−	0.320640i
$725$	−8.70365	+	7.21060i	−0.323245	+	0.267795i
$726$	2.01934	−	4.35981i	0.0749446	−	0.161808i
$727$	36.3079	+	36.3079i	1.34658	+	1.34658i	0.889342	+	0.457242i	$0.151163\pi$
$727$	36.3079	+	36.3079i	1.34658	+	1.34658i	0.457242	+	0.889342i	$0.348837\pi$
$728$	−1.66007	−	0.941387i	−0.0615263	−	0.0348901i
$729$		−	11.4506i		−	0.424096i
$730$	9.74018	+	11.6211i	0.360500	+	0.430116i
$731$		−	1.77610i		−	0.0656916i
$732$	0.114901	−	1.39626i	0.00424685	−	0.0516072i
$733$	24.2605	+	24.2605i	0.896084	+	0.896084i	0.995087	−	0.0990035i	$-0.0315655\pi$
$733$	24.2605	+	24.2605i	0.896084	+	0.896084i	−0.0990035	+	0.995087i	$0.531566\pi$
$734$	−15.1543	−	7.01904i	−0.559357	−	0.259078i
$735$	−2.78463	−	7.72608i	−0.102713	−	0.284981i
$736$	−27.6765	−	18.8520i	−1.02017	−	0.694893i
$737$	−34.8474	+	34.8474i	−1.28362	+	1.28362i
$738$	−4.09701	−	11.1667i	−0.150813	−	0.411053i
$739$	27.4036			1.00806			0.504030	−	0.863686i	$-0.331850\pi$
$739$	27.4036			1.00806			0.504030	+	0.863686i	$0.331850\pi$
$740$	10.9996	−	19.1412i	0.404355	−	0.703643i
$741$	3.81378			0.140103
$742$	1.65096	+	4.49981i	0.0606085	+	0.165193i
$743$	30.3545	−	30.3545i	1.11360	−	1.11360i	0.120937	−	0.992660i	$-0.461410\pi$
$743$	30.3545	−	30.3545i	1.11360	−	1.11360i	0.992660	−	0.120937i	$-0.0385900\pi$
$744$	9.77113	−	2.69939i	0.358227	−	0.0989645i
$745$	−12.7222	+	27.0607i	−0.466106	+	0.991429i
$746$	26.8110	+	12.4181i	0.981620	+	0.454658i
$747$	1.10696	+	1.10696i	0.0405017	+	0.0405017i
$748$	3.29040	+	0.270773i	0.120309	+	0.00990044i
$749$			3.74403i			0.136804i
$750$	−8.72749	−	1.60050i	−0.318683	−	0.0584420i
$751$		−	25.9682i		−	0.947594i	−0.880634	−	0.473797i	$-0.842883\pi$
$751$		−	25.9682i		−	0.947594i	0.880634	−	0.473797i	$-0.157117\pi$
$752$	−9.67405	+	6.92371i	−0.352776	+	0.252482i
$753$	−3.96881	−	3.96881i	−0.144632	−	0.144632i
$754$	1.34356	−	2.90078i	0.0489295	−	0.105640i
$755$	12.5269	−	26.6454i	0.455902	−	0.969725i
$756$	2.78432	+	3.28367i	0.101265	+	0.119426i
$757$	24.9999	−	24.9999i	0.908636	−	0.908636i	−0.0875264	−	0.996162i	$-0.527896\pi$
$757$	24.9999	−	24.9999i	0.908636	−	0.908636i	0.996162	+	0.0875264i	$0.0278962\pi$
$758$	17.7118	−	6.49838i	0.643323	−	0.236032i
$759$	13.7189			0.497965
$760$	−35.0948	+	24.8150i	−1.27302	+	0.900135i
$761$	5.38965			0.195375			0.0976873	−	0.995217i	$-0.468855\pi$
$761$	5.38965			0.195375			0.0976873	+	0.995217i	$0.468855\pi$
$762$	−9.98510	+	3.66348i	−0.361722	+	0.132714i
$763$	−6.82562	+	6.82562i	−0.247104	+	0.247104i
$764$	2.59959	+	3.06580i	0.0940498	+	0.110917i
$765$	−0.813765	−	2.25783i	−0.0294217	−	0.0816320i
$766$	−19.9164	+	43.0002i	−0.719610	+	1.55366i
$767$	−7.91126	−	7.91126i	−0.285659	−	0.285659i
$768$	−8.05758	+	3.96177i	−0.290753	+	0.142958i
$769$		−	6.24953i		−	0.225364i	−0.993631	−	0.112682i	$-0.964056\pi$
$769$		−	6.24953i		−	0.225364i	0.993631	−	0.112682i	$-0.0359441\pi$
$770$	−6.75306	+	5.66005i	−0.243363	+	0.203974i
$771$		−	3.26127i		−	0.117452i
$772$	−38.9899	−	3.20854i	−1.40328	−	0.115478i
$773$	15.2768	+	15.2768i	0.549469	+	0.549469i	0.926287	−	0.376818i	$-0.122982\pi$
$773$	15.2768	+	15.2768i	0.549469	+	0.549469i	−0.376818	+	0.926287i	$0.622982\pi$
$774$	15.3097	+	7.09101i	0.550296	+	0.254881i
$775$	24.5904	−	20.3721i	0.883314	−	0.731787i
$776$	−2.76664	−	10.0145i	−0.0993165	−	0.359501i
$777$	1.32170	−	1.32170i	0.0474156	−	0.0474156i
$778$	1.42270	+	3.87769i	0.0510064	+	0.139022i
$779$	21.2878			0.762715
$780$	2.42284	−	0.654448i	0.0867516	−	0.0234330i
$781$	61.2378			2.19126
$782$	1.15267	+	3.14169i	0.0412194	+	0.112347i
$783$	−5.09950	+	5.09950i	−0.182241	+	0.182241i
$784$	−25.8268	−	4.27964i	−0.922386	−	0.152844i
$785$	8.82817	−	3.18184i	0.315091	−	0.113565i
$786$	−0.290253	−	0.134437i	−0.0103530	−	0.00479520i
$787$	19.3421	+	19.3421i	0.689473	+	0.689473i	0.962115	−	0.272643i	$-0.0878977\pi$
$787$	19.3421	+	19.3421i	0.689473	+	0.689473i	−0.272643	+	0.962115i	$0.587898\pi$
$788$	1.05395	−	12.8075i	0.0375455	−	0.456249i
$789$		−	0.378425i		−	0.0134723i
$790$	32.1096	+	2.82733i	1.14241	+	0.100592i
$791$		−	10.7182i		−	0.381094i
$792$	−15.4708	+	27.2817i	−0.549731	+	0.969412i
$793$	0.882643	+	0.882643i	0.0313436	+	0.0313436i
$794$	15.8415	−	34.2023i	0.562195	−	1.21380i
$795$	−5.70426	−	2.68177i	−0.202309	−	0.0951127i
$796$	15.2012	−	12.8896i	0.538793	−	0.456859i
$797$	11.0612	−	11.0612i	0.391807	−	0.391807i	−0.483524	−	0.875331i	$-0.660643\pi$
$797$	11.0612	−	11.0612i	0.391807	−	0.391807i	0.875331	+	0.483524i	$0.160643\pi$
$798$	−3.41645	+	1.25348i	−0.120941	+	0.0443726i
$799$	1.18885			0.0420584
$800$	−18.0369	+	21.7869i	−0.637702	+	0.770283i
$801$	45.5186			1.60832
$802$	5.80153	−	2.12855i	0.204859	−	0.0751617i
$803$	−14.0020	+	14.0020i	−0.494119	+	0.494119i
$804$	−10.2156	+	8.66215i	−0.360278	+	0.305490i
$805$	−8.08263	−	3.79993i	−0.284875	−	0.133930i
$806$	−3.79595	+	8.19559i	−0.133707	+	0.288677i
$807$	−1.85361	−	1.85361i	−0.0652500	−	0.0652500i
$808$	17.4440	−	30.7613i	0.613679	−	1.08218i
$809$			19.5464i			0.687214i	0.939113	+	0.343607i	$0.111649\pi$
$809$			19.5464i			0.687214i	−0.939113	+	0.343607i	$0.888351\pi$
$810$	19.7349	+	1.73771i	0.693414	+	0.0610567i
$811$			48.1214i			1.68977i	0.534947	+	0.844886i	$0.320332\pi$
$811$			48.1214i			1.68977i	−0.534947	+	0.844886i	$0.679668\pi$
$812$	−0.250180	+	3.04016i	−0.00877958	+	0.106689i
$813$	9.27312	+	9.27312i	0.325222	+	0.325222i
$814$	26.1604	+	12.1167i	0.916920	+	0.424690i
$815$	19.1497	−	6.90192i	0.670785	−	0.241764i
$816$	0.885216	+	0.146685i	0.0309888	+	0.00513501i
$817$	−21.3520	+	21.3520i	−0.747010	+	0.747010i
$818$	−2.19541	−	5.98376i	−0.0767607	−	0.209217i
$819$	−1.81169			−0.0633056
$820$	13.5238	−	3.65301i	0.472273	−	0.127568i
$821$	−19.6016			−0.684100			−0.342050	−	0.939682i	$-0.611121\pi$
$821$	−19.6016			−0.684100			−0.342050	+	0.939682i	$0.611121\pi$
$822$	5.82485	+	15.8761i	0.203165	+	0.553742i
$823$	−11.6544	+	11.6544i	−0.406248	+	0.406248i	−0.880428	−	0.474180i	$-0.842745\pi$
$823$	−11.6544	+	11.6544i	−0.406248	+	0.406248i	0.474180	+	0.880428i	$0.342745\pi$
$824$	−3.62534	−	13.1228i	−0.126295	−	0.457156i
$825$	1.08237	−	11.5368i	0.0376831	−	0.401659i
$826$	9.68723	+	4.48684i	0.337062	+	0.156117i
$827$	−4.18727	−	4.18727i	−0.145606	−	0.145606i	0.630546	−	0.776152i	$-0.282831\pi$
$827$	−4.18727	−	4.18727i	−0.145606	−	0.145606i	−0.776152	+	0.630546i	$0.782831\pi$
$828$	−31.6828	−	2.60723i	−1.10105	−	0.0906076i
$829$			27.2927i			0.947914i	0.880548	+	0.473957i	$0.157175\pi$
$829$			27.2927i			0.947914i	−0.880548	+	0.473957i	$0.842825\pi$
$830$	−1.41302	+	1.18432i	−0.0490468	+	0.0411084i
$831$		−	5.14697i		−	0.178546i
$832$	1.95069	−	7.75853i	0.0676281	−	0.268979i
$833$	1.84990	+	1.84990i	0.0640951	+	0.0640951i
$834$	−2.86929	+	6.19488i	−0.0993553	+	0.214511i
$835$	−18.7132	−	51.9206i	−0.647597	−	1.79679i
$836$	−36.3014	−	42.8117i	−1.25551	−	1.48067i
$837$	14.4076	−	14.4076i	0.498000	−	0.498000i
$838$	−24.6483	+	9.04334i	−0.851462	+	0.312397i
$839$	−29.3502			−1.01328			−0.506641	−	0.862157i	$-0.669113\pi$
$839$	−29.3502			−1.01328			−0.506641	+	0.862157i	$0.669113\pi$
$840$	−1.95532	+	1.38258i	−0.0674650	+	0.0477035i
$841$	23.8902			0.823798
$842$	16.7776	−	6.15560i	0.578193	−	0.212136i
$843$	8.77962	−	8.77962i	0.302386	−	0.302386i
$844$	17.5158	+	20.6571i	0.602918	+	0.711046i
$845$	−0.951360	+	2.02359i	−0.0327278	+	0.0696136i
$846$	−4.74642	+	10.2477i	−0.163185	+	0.352322i
$847$	−2.88846	−	2.88846i	−0.0992488	−	0.0992488i
$848$	−16.3390	+	11.6938i	−0.561085	+	0.401568i
$849$		−	9.83952i		−	0.337692i
$850$	2.73291	−	0.721458i	0.0937381	−	0.0247458i
$851$			29.2227i			1.00174i
$852$	16.5871	+	1.36498i	0.568264	+	0.0467634i
$853$	−35.8627	−	35.8627i	−1.22792	−	1.22792i	−0.964751	−	0.263166i	$-0.915233\pi$
$853$	−35.8627	−	35.8627i	−1.22792	−	1.22792i	−0.263166	−	0.964751i	$-0.584767\pi$
$854$	−1.08078	−	0.500587i	−0.0369837	−	0.0171297i
$855$	−17.3602	+	36.9261i	−0.593708	+	1.26284i
$856$	−15.1282	+	4.17933i	−0.517070	+	0.142847i
$857$	−27.6094	+	27.6094i	−0.943120	+	0.943120i	−0.998467	−	0.0553476i	$-0.982373\pi$
$857$	−27.6094	+	27.6094i	−0.943120	+	0.943120i	0.0553476	+	0.998467i	$0.482373\pi$
$858$	1.12889	+	3.07687i	0.0385395	+	0.105042i
$859$	53.1061			1.81196			0.905978	−	0.423324i	$-0.139137\pi$
$859$	53.1061			1.81196			0.905978	+	0.423324i	$0.139137\pi$
$860$	−9.90057	+	17.2286i	−0.337607	+	0.587490i
$861$	1.18606			0.0404208
$862$	−6.08329	−	16.5805i	−0.207198	−	0.564734i
$863$	−17.2332	+	17.2332i	−0.586626	+	0.586626i	−0.936716	−	0.350090i	$-0.886151\pi$
$863$	−17.2332	+	17.2332i	−0.586626	+	0.586626i	0.350090	+	0.936716i	$0.386151\pi$
$864$	−10.1600	+	14.9158i	−0.345649	+	0.507446i
$865$	5.08479	+	14.1080i	0.172888	+	0.479686i
$866$	22.8438	+	10.5806i	0.776265	+	0.359543i
$867$	6.68243	+	6.68243i	0.226947	+	0.226947i
$868$	0.706833	−	8.58936i	0.0239915	−	0.291542i
$869$			42.0947i			1.42797i
$870$	−2.57682	−	3.07442i	−0.0873623	−	0.104233i
$871$		−	11.9335i		−	0.404353i
$872$	−35.1989	−	19.9605i	−1.19198	−	0.675946i
$873$	−6.97427	−	6.97427i	−0.236043	−	0.236043i
$874$	23.9116	−	51.6259i	0.808822	−	1.74627i
$875$	−3.83319	+	6.49720i	−0.129586	+	0.219645i
$876$	−4.10473	+	3.48053i	−0.138686	+	0.117596i
$877$	16.3084	−	16.3084i	0.550695	−	0.550695i	−0.375947	−	0.926641i	$-0.622682\pi$
$877$	16.3084	−	16.3084i	0.550695	−	0.550695i	0.926641	+	0.375947i	$0.122682\pi$
$878$	20.8352	−	7.64433i	0.703155	−	0.257984i
$879$	14.9047			0.502723
$880$	−30.4083	−	20.9683i	−1.02506	−	0.706842i
$881$	5.97905			0.201439			0.100720	−	0.994915i	$-0.467885\pi$
$881$	5.97905			0.201439			0.100720	+	0.994915i	$0.467885\pi$
$882$	−23.3314	+	8.56017i	−0.785609	+	0.288236i
$883$	−6.12111	+	6.12111i	−0.205992	+	0.205992i	−0.802561	−	0.596570i	$-0.796530\pi$
$883$	−6.12111	+	6.12111i	−0.205992	+	0.205992i	0.596570	+	0.802561i	$0.296530\pi$
$884$	−0.609766	+	0.517039i	−0.0205087	+	0.0173899i
$885$	−13.2077	+	4.76031i	−0.443972	+	0.160016i
$886$	21.4301	−	46.2683i	0.719958	−	1.55441i
$887$	16.7535	+	16.7535i	0.562528	+	0.562528i	0.930025	−	0.367496i	$-0.119785\pi$
$887$	16.7535	+	16.7535i	0.562528	+	0.562528i	−0.367496	+	0.930025i	$0.619785\pi$
$888$	6.81582	+	3.86509i	0.228724	+	0.129704i
$889$			9.04247i			0.303275i
$890$	−4.70214	+	53.4017i	−0.157616	+	1.79003i
$891$			25.8719i			0.866740i
$892$	1.00798	−	12.2489i	0.0337497	−	0.410122i
$893$	−14.2921	−	14.2921i	−0.478266	−	0.478266i
$894$	−9.63010	−	4.46038i	−0.322079	−	0.149177i
$895$	−23.5238	−	11.0594i	−0.786315	−	0.369674i
$896$	0.802534	+	7.59135i	0.0268108	+	0.253609i
$897$	−2.34904	+	2.34904i	−0.0784320	+	0.0784320i
$898$	8.97467	+	24.4612i	0.299489	+	0.816280i
$899$	14.4369			0.481496
$900$	−4.69217	+	26.4376i	−0.156406	+	0.881254i
$901$	2.00791			0.0668932
$902$	6.30123	+	17.1745i	0.209808	+	0.571848i
$903$	−1.18963	+	1.18963i	−0.0395885	+	0.0395885i
$904$	43.3079	−	11.9643i	1.44040	−	0.397928i
$905$	13.4976	+	6.34568i	0.448674	+	0.210938i
$906$	9.48229	+	4.39192i	0.315028	+	0.145912i
$907$	−16.8552	−	16.8552i	−0.559668	−	0.559668i	0.369545	−	0.929213i	$-0.379514\pi$
$907$	−16.8552	−	16.8552i	−0.559668	−	0.559668i	−0.929213	+	0.369545i	$0.879514\pi$
$908$	3.40585	+	0.280273i	0.113027	+	0.00930119i
$909$		−	33.5709i		−	1.11348i
$910$	0.187151	−	2.12545i	0.00620398	−	0.0704579i
$911$			11.7451i			0.389133i	0.980889	+	0.194567i	$0.0623301\pi$
$911$			11.7451i			0.389133i	−0.980889	+	0.194567i	$0.937670\pi$
$912$	−8.87847	−	12.4053i	−0.293995	−	0.410781i
$913$	−1.70252	−	1.70252i	−0.0563451	−	0.0563451i
$914$	8.52355	−	18.4026i	0.281934	−	0.608705i
$915$	1.47355	−	0.531097i	0.0487142	−	0.0175575i
$916$	37.4603	+	44.1784i	1.23772	+	1.45970i
$917$	−0.192299	+	0.192299i	−0.00635026	+	0.00635026i
$918$	1.69316	−	0.621213i	0.0558828	−	0.0205031i
$919$	37.6486			1.24191			0.620957	−	0.783845i	$-0.286744\pi$
$919$	37.6486			1.24191			0.620957	+	0.783845i	$0.286744\pi$
$920$	6.33165	−	36.9004i	0.208748	−	1.21657i
$921$	14.0897			0.464271
$922$	13.7964	−	5.06182i	0.454360	−	0.166702i
$923$	−10.4855	+	10.4855i	−0.345134	+	0.345134i
$924$	−2.02255	−	2.38527i	−0.0665369	−	0.0784698i
$925$	24.5745	+	2.30555i	0.808003	+	0.0758059i
$926$	24.1189	−	52.0735i	0.792596	−	1.71124i
$927$	−9.13893	−	9.13893i	−0.300162	−	0.300162i
$928$	−12.5633	+	2.38275i	−0.412412	+	0.0782175i
$929$		−	6.75491i		−	0.221621i	−0.993842	−	0.110811i	$-0.964655\pi$
$929$		−	6.75491i		−	0.221621i	0.993842	−	0.110811i	$-0.0353447\pi$
$930$	7.28028	+	8.68617i	0.238730	+	0.284831i
$931$		−	44.4781i		−	1.45771i
$932$	13.1467	+	1.08186i	0.430635	+	0.0354376i
$933$	−1.09652	−	1.09652i	−0.0358983	−	0.0358983i
$934$	−38.2477	−	17.7152i	−1.25150	−	0.579660i
$935$	1.25158	+	3.47256i	0.0409309	+	0.113565i
$936$	−2.02233	−	7.32034i	−0.0661019	−	0.239273i
$937$	−12.1343	+	12.1343i	−0.396412	+	0.396412i	−0.876965	−	0.480554i	$-0.840436\pi$
$937$	−12.1343	+	12.1343i	−0.396412	+	0.396412i	0.480554	+	0.876965i	$0.340436\pi$
$938$	3.92220	+	10.6903i	0.128064	+	0.349050i
$939$	−12.2121			−0.398526
$940$	−11.5321	−	6.62702i	−0.376135	−	0.216150i
$941$	−47.2510			−1.54034			−0.770170	−	0.637839i	$-0.779829\pi$
$941$	−47.2510			−1.54034			−0.770170	+	0.637839i	$0.779829\pi$
$942$	1.14720	+	3.12679i	0.0373779	+	0.101876i
$943$	−13.1119	+	13.1119i	−0.426982	+	0.426982i
$944$	−7.31603	+	44.1508i	−0.238117	+	1.43699i
$945$	−2.04791	+	4.35600i	−0.0666185	+	0.141701i
$946$	−23.5465	−	10.9060i	−0.765561	−	0.354585i
$947$	−4.36331	−	4.36331i	−0.141788	−	0.141788i	0.632650	−	0.774438i	$-0.281967\pi$
$947$	−4.36331	−	4.36331i	−0.141788	−	0.141788i	−0.774438	+	0.632650i	$0.781967\pi$
$948$	−0.938285	+	11.4019i	−0.0304741	+	0.370318i
$949$		−	4.79501i		−	0.155652i
$950$	−41.5277	−	24.1813i	−1.34734	−	0.784544i
$951$		−	6.10853i		−	0.198083i
$952$	0.376303	−	0.663584i	0.0121960	−	0.0215069i
$953$	16.3933	+	16.3933i	0.531031	+	0.531031i	0.920879	−	0.389848i	$-0.127473\pi$
$953$	16.3933	+	16.3933i	0.531031	+	0.531031i	−0.389848	+	0.920879i	$0.627473\pi$
$954$	−8.01649	+	17.3079i	−0.259543	+	0.560363i
$955$	−1.91203	+	4.06699i	−0.0618719	+	0.131605i
$956$	−5.96492	+	5.05784i	−0.192919	+	0.163582i
$957$	3.70430	−	3.70430i	0.119743	−	0.119743i
$958$	−2.96794	+	1.08892i	−0.0958897	+	0.0351814i
$959$	14.3773			0.464268
$960$	−7.76912	−	6.35736i	−0.250747	−	0.205183i
$961$	−9.78845			−0.315756
$962$	−6.55403	+	2.40464i	−0.211310	+	0.0775286i
$963$	−10.5355	+	10.5355i	−0.339501	+	0.339501i
$964$	−6.28746	+	5.33133i	−0.202505	+	0.171711i
$965$	−14.8306	−	41.1483i	−0.477415	−	1.32461i
$966$	1.33225	−	2.87636i	0.0428643	−	0.0925454i
$967$	−35.2065	−	35.2065i	−1.13216	−	1.13216i	−0.989817	−	0.142348i	$-0.954535\pi$
$967$	−35.2065	−	35.2065i	−1.13216	−	1.13216i	−0.142348	−	0.989817i	$-0.545465\pi$
$968$	8.44685	−	14.8954i	0.271492	−	0.478758i
$969$			1.52449i			0.0489737i
$970$	8.90256	−	7.46165i	0.285844	−	0.239579i
$971$		−	1.20000i		−	0.0385098i	−0.999815	−	0.0192549i	$-0.993871\pi$
$971$		−	1.20000i		−	0.0385098i	0.999815	−	0.0192549i	$-0.00612941\pi$
$972$	−2.14661	+	26.0854i	−0.0688525	+	0.836688i
$973$	4.10424	+	4.10424i	0.131576	+	0.131576i
$974$	39.4514	+	18.2727i	1.26410	+	0.585496i
$975$	1.79007	+	2.16072i	0.0573280	+	0.0691985i
$976$	0.816234	−	4.92581i	0.0261270	−	0.157671i
$977$	0.481877	−	0.481877i	0.0154166	−	0.0154166i	−0.699356	−	0.714773i	$-0.746530\pi$
$977$	0.481877	−	0.481877i	0.0154166	−	0.0154166i	0.714773	+	0.699356i	$0.246530\pi$
$978$	2.48847	+	6.78251i	0.0795724	+	0.216881i
$979$	−70.0080			−2.23746
$980$	−7.63248	−	28.2563i	−0.243811	−	0.902615i
$981$	−38.4137			−1.22646
$982$	−13.6673	−	37.2513i	−0.436142	−	1.18874i
$983$	−25.4929	+	25.4929i	−0.813097	+	0.813097i	−0.985097	−	0.172000i	$-0.944977\pi$
$983$	−25.4929	+	25.4929i	−0.813097	+	0.813097i	0.172000	+	0.985097i	$0.444977\pi$
$984$	1.32396	+	4.79240i	0.0422063	+	0.152776i
$985$	13.5165	−	4.87162i	0.430673	−	0.155223i
$986$	1.15954	+	0.537064i	0.0369272	+	0.0171036i
$987$	−0.796290	−	0.796290i	−0.0253462	−	0.0253462i
$988$	13.5462	+	1.11474i	0.430963	+	0.0354647i
$989$		−	26.3028i		−	0.836379i
$990$	−34.9297	−	3.07564i	−1.11014	−	0.0977503i
$991$		−	12.0246i		−	0.381973i	−0.981593	−	0.190986i	$-0.938831\pi$
$991$		−	12.0246i		−	0.381973i	0.981593	−	0.190986i	$-0.0611686\pi$
$992$	35.4952	−	6.73197i	1.12697	−	0.213740i
$993$	−8.14371	−	8.14371i	−0.258433	−	0.258433i
$994$	5.94681	−	12.8393i	0.188621	−	0.407239i
$995$	20.1654	+	9.48047i	0.639286	+	0.300551i
$996$	−0.423202	−	0.499100i	−0.0134097	−	0.0158146i
$997$	−6.79283	+	6.79283i	−0.215131	+	0.215131i	−0.806443	−	0.591312i	$-0.798610\pi$
$997$	−6.79283	+	6.79283i	−0.215131	+	0.215131i	0.591312	+	0.806443i	$0.298610\pi$
$998$	−35.9856	+	13.2029i	−1.13910	+	0.417931i
$999$	15.7491			0.498279

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.o.a.183.5	yes	72
4.3	odd	2	inner	260.2.o.a.183.15	yes	72
5.2	odd	4	inner	260.2.o.a.27.15	yes	72
20.7	even	4	inner	260.2.o.a.27.5	✓	72

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.o.a.27.5	✓	72	20.7	even	4	inner
260.2.o.a.27.15	yes	72	5.2	odd	4	inner
260.2.o.a.183.5	yes	72	1.1	even	1	trivial
260.2.o.a.183.15	yes	72	4.3	odd	2	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.o (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.32767 + 0.487116i) q^{2} +(0.396814 - 0.396814i) q^{3} +(1.52544 - 1.29346i) q^{4} +(2.02359 + 0.951360i) q^{5} +(-0.333545 + 0.720134i) q^{6} +(0.477103 + 0.477103i) q^{7} +(-1.39521 + 2.46036i) q^{8} +2.68508i q^{9} +O(q^{10})\)	\(q+(-1.32767 + 0.487116i) q^{2} +(0.396814 - 0.396814i) q^{3} +(1.52544 - 1.29346i) q^{4} +(2.02359 + 0.951360i) q^{5} +(-0.333545 + 0.720134i) q^{6} +(0.477103 + 0.477103i) q^{7} +(-1.39521 + 2.46036i) q^{8} +2.68508i q^{9} +(-3.15009 - 0.277373i) q^{10} -4.12967i q^{11} +(0.0920497 - 1.11858i) q^{12} +(0.707107 + 0.707107i) q^{13} +(-0.865843 - 0.401033i) q^{14} +(1.18050 - 0.425475i) q^{15} +(0.653905 - 3.94619i) q^{16} +(-0.282654 + 0.282654i) q^{17} +(-1.30795 - 3.56491i) q^{18} +6.79601 q^{19} +(4.31740 - 1.16620i) q^{20} +0.378643 q^{21} +(2.01163 + 5.48285i) q^{22} +(-4.18589 + 4.18589i) q^{23} +(0.422666 + 1.52995i) q^{24} +(3.18983 + 3.85033i) q^{25} +(-1.28325 - 0.594364i) q^{26} +(2.25592 + 2.25592i) q^{27} +(1.34491 + 0.110675i) q^{28} +2.26050i q^{29} +(-1.36006 + 1.13993i) q^{30} -6.38658i q^{31} +(1.05408 + 5.55778i) q^{32} +(-1.63871 - 1.63871i) q^{33} +(0.237587 - 0.512957i) q^{34} +(0.511564 + 1.41936i) q^{35} +(3.47305 + 4.09591i) q^{36} +(3.49062 - 3.49062i) q^{37} +(-9.02288 + 3.31045i) q^{38} +0.561180 q^{39} +(-5.16403 + 3.65141i) q^{40} +3.13240 q^{41} +(-0.502714 + 0.184443i) q^{42} +(-3.14184 + 3.14184i) q^{43} +(-5.34158 - 6.29954i) q^{44} +(-2.55448 + 5.43349i) q^{45} +(3.51848 - 7.59651i) q^{46} +(-2.10301 - 2.10301i) q^{47} +(-1.30642 - 1.82538i) q^{48} -6.54474i q^{49} +(-6.11061 - 3.55816i) q^{50} +0.224322i q^{51} +(1.99326 + 0.164029i) q^{52} +(-3.55189 - 3.55189i) q^{53} +(-4.09402 - 1.89623i) q^{54} +(3.92880 - 8.35675i) q^{55} +(-1.83951 + 0.508186i) q^{56} +(2.69675 - 2.69675i) q^{57} +(-1.10113 - 3.00120i) q^{58} -11.1882 q^{59} +(1.25044 - 2.17597i) q^{60} +1.24825 q^{61} +(3.11101 + 8.47930i) q^{62} +(-1.28106 + 1.28106i) q^{63} +(-4.10676 - 6.86546i) q^{64} +(0.758180 + 2.10361i) q^{65} +(2.97391 + 1.37743i) q^{66} +(-8.43829 - 8.43829i) q^{67} +(-0.0655677 + 0.796772i) q^{68} +3.32204i q^{69} +(-1.37058 - 1.63525i) q^{70} +14.8287i q^{71} +(-6.60626 - 3.74626i) q^{72} +(-3.39058 - 3.39058i) q^{73} +(-2.93406 + 6.33473i) q^{74} +(2.79363 + 0.262095i) q^{75} +(10.3669 - 8.79039i) q^{76} +(1.97028 - 1.97028i) q^{77} +(-0.745063 + 0.273360i) q^{78} -10.1932 q^{79} +(5.07748 - 7.36337i) q^{80} -6.26487 q^{81} +(-4.15881 + 1.52584i) q^{82} +(0.412265 - 0.412265i) q^{83} +(0.577595 - 0.489760i) q^{84} +(-0.840880 + 0.303069i) q^{85} +(2.64090 - 5.70178i) q^{86} +(0.896997 + 0.896997i) q^{87} +(10.1605 + 5.76177i) q^{88} -16.9524i q^{89} +(0.744767 - 8.45823i) q^{90} +0.674726i q^{91} +(-0.971008 + 11.7996i) q^{92} +(-2.53429 - 2.53429i) q^{93} +(3.81652 + 1.76770i) q^{94} +(13.7523 + 6.46545i) q^{95} +(2.62368 + 1.78713i) q^{96} +(-2.59742 + 2.59742i) q^{97} +(3.18805 + 8.68929i) q^{98} +11.0885 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) 72 * q - 8 * q^6 - 12 * q^8	\( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) 72 * q - 8 * q^6 - 12 * q^8 - 8 * q^10 - 8 * q^12 - 8 * q^16 + 28 * q^18 - 16 * q^21 - 8 * q^22 - 20 * q^28 - 32 * q^30 - 40 * q^32 + 16 * q^33 + 32 * q^36 - 12 * q^38 - 8 * q^40 - 40 * q^42 - 8 * q^46 + 60 * q^48 + 40 * q^50 + 8 * q^52 - 48 * q^53 + 8 * q^56 - 60 * q^58 + 20 * q^60 - 64 * q^61 + 60 * q^62 + 8 * q^66 - 16 * q^68 - 60 * q^70 + 40 * q^72 - 16 * q^73 - 72 * q^76 + 48 * q^77 - 20 * q^80 + 8 * q^81 - 12 * q^82 + 48 * q^85 + 48 * q^86 + 12 * q^88 + 44 * q^90 - 36 * q^92 + 16 * q^93 + 32 * q^96 - 80 * q^97 - 32 * q^98

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