LMFDB - Embedded newform 805.2.u.d.36.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [805,2,Mod(36,805)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(805, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 14]))

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

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

chi := DirichletCharacter("805.36");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 805 = 5 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	805.u (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.42795736271$
Analytic rank:	$0$
Dimension:	$130$
Relative dimension:	$13$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			36.4
Character	$\chi$	$=$	805.36
Dual form			805.2.u.d.246.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.438445 - 0.505992i) q^{2} +(0.0821184 + 0.0527743i) q^{3} +(0.220835 - 1.53594i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.00930099 - 0.0646898i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-2.00048 + 1.28563i) q^{8} +(-1.24229 - 2.72023i) q^{9} +O(q^{10})$	\(q+(-0.438445 - 0.505992i) q^{2} +(0.0821184 + 0.0527743i) q^{3} +(0.220835 - 1.53594i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.00930099 - 0.0646898i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-2.00048 + 1.28563i) q^{8} +(-1.24229 - 2.72023i) q^{9} +(-0.642403 + 0.188627i) q^{10} +(-3.65530 + 4.21844i) q^{11} +(0.0991929 - 0.114475i) q^{12} +(-6.81143 + 2.00001i) q^{13} +(-0.278130 - 0.609020i) q^{14} +(0.0821184 - 0.0527743i) q^{15} +(-1.45015 - 0.425802i) q^{16} +(-0.445050 - 3.09539i) q^{17} +(-0.831740 + 1.82126i) q^{18} +(-0.685014 + 4.76438i) q^{19} +(-1.30541 - 0.838933i) q^{20} +(0.0639238 + 0.0737720i) q^{21} +3.73715 q^{22} +(0.358769 + 4.78239i) q^{23} -0.232124 q^{24} +(-0.654861 - 0.755750i) q^{25} +(3.99842 + 2.56963i) q^{26} +(0.0832194 - 0.578804i) q^{27} +(0.644615 - 1.41151i) q^{28} +(-1.24247 - 8.64156i) q^{29} +(-0.0627077 - 0.0184126i) q^{30} +(3.38788 - 2.17726i) q^{31} +(2.39605 + 5.24661i) q^{32} +(-0.522793 + 0.153506i) q^{33} +(-1.37111 + 1.58235i) q^{34} +(0.654861 - 0.755750i) q^{35} +(-4.45246 + 1.30736i) q^{36} +(1.34475 + 2.94459i) q^{37} +(2.71108 - 1.74230i) q^{38} +(-0.664892 - 0.195230i) q^{39} +(0.338421 + 2.35377i) q^{40} +(2.60036 - 5.69400i) q^{41} +(0.00930099 - 0.0646898i) q^{42} +(1.39999 + 0.899716i) q^{43} +(5.67207 + 6.54592i) q^{44} -2.99047 q^{45} +(2.26255 - 2.27835i) q^{46} -7.06723 q^{47} +(-0.0966123 - 0.111497i) q^{48} +(0.841254 + 0.540641i) q^{49} +(-0.0952831 + 0.662709i) q^{50} +(0.126810 - 0.277675i) q^{51} +(1.56771 + 10.9036i) q^{52} +(-6.18635 - 1.81648i) q^{53} +(-0.329357 + 0.211665i) q^{54} +(2.31876 + 5.07739i) q^{55} +(-2.28165 + 0.669952i) q^{56} +(-0.307689 + 0.355092i) q^{57} +(-3.82781 + 4.41752i) q^{58} +(-5.60542 + 1.64590i) q^{59} +(-0.0629237 - 0.137784i) q^{60} +(2.62345 - 1.68599i) q^{61} +(-2.58707 - 0.759633i) q^{62} +(-0.425588 - 2.96003i) q^{63} +(0.348521 - 0.763154i) q^{64} +(-1.01029 + 7.02673i) q^{65} +(0.306888 + 0.197225i) q^{66} +(6.00830 + 6.93395i) q^{67} -4.85262 q^{68} +(-0.222926 + 0.411656i) q^{69} -0.669524 q^{70} +(-8.11127 - 9.36091i) q^{71} +(5.98237 + 3.84464i) q^{72} +(1.95716 - 13.6124i) q^{73} +(0.900342 - 1.97147i) q^{74} +(-0.0138920 - 0.0966207i) q^{75} +(7.16654 + 2.10429i) q^{76} +(-4.69571 + 3.01775i) q^{77} +(0.192734 + 0.422028i) q^{78} +(-4.96451 + 1.45771i) q^{79} +(-0.989736 + 1.14222i) q^{80} +(-5.83765 + 6.73700i) q^{81} +(-4.02123 + 1.18074i) q^{82} +(-0.0121031 - 0.0265021i) q^{83} +(0.127426 - 0.0818918i) q^{84} +(-3.00054 - 0.881039i) q^{85} +(-0.158567 - 1.10286i) q^{86} +(0.354022 - 0.775201i) q^{87} +(1.88900 - 13.1383i) q^{88} +(-12.8009 - 8.22664i) q^{89} +(1.31116 + 1.51316i) q^{90} -7.09898 q^{91} +(7.42472 + 0.505073i) q^{92} +0.393110 q^{93} +(3.09859 + 3.57596i) q^{94} +(4.04926 + 2.60230i) q^{95} +(-0.0801266 + 0.557293i) q^{96} +(-2.88356 + 6.31411i) q^{97} +(-0.0952831 - 0.662709i) q^{98} +(16.0161 + 4.70274i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9}+O(q^{10}) $ 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9	\( 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9} + 2 q^{10} + 2 q^{11} - 5 q^{12} + 13 q^{13} - 2 q^{14} + 2 q^{15} - 6 q^{16} - 51 q^{17} + q^{18} - 9 q^{19} - 16 q^{20} - 2 q^{21} + 34 q^{22} - 10 q^{23} - 76 q^{24} - 13 q^{25} - 31 q^{26} + 14 q^{27} + 27 q^{28} + 3 q^{29} + 5 q^{30} + 6 q^{31} + 22 q^{32} - 58 q^{33} + q^{34} + 13 q^{35} + 193 q^{36} - 36 q^{37} + 4 q^{38} - 2 q^{39} - 29 q^{40} - 34 q^{41} - 5 q^{42} - 22 q^{43} + 8 q^{44} + 170 q^{45} - 198 q^{46} - 14 q^{47} - 120 q^{48} - 13 q^{49} + 2 q^{50} - 6 q^{51} + 33 q^{52} - 18 q^{53} + 188 q^{54} - 31 q^{55} - 15 q^{56} - 9 q^{57} + 114 q^{58} + 46 q^{59} - 16 q^{60} - 56 q^{61} - 146 q^{62} + 17 q^{63} - 109 q^{64} + 2 q^{65} - 14 q^{66} - 10 q^{67} + 86 q^{68} - 6 q^{69} - 2 q^{70} - 25 q^{72} + 64 q^{73} + 79 q^{74} + 2 q^{75} + 32 q^{76} - 13 q^{77} - 64 q^{78} - 118 q^{79} - 17 q^{80} + 23 q^{81} + 129 q^{82} - 117 q^{83} - 72 q^{84} - 7 q^{85} + 74 q^{86} - 51 q^{87} - 40 q^{88} - 35 q^{89} + 100 q^{90} + 42 q^{91} + 76 q^{92} - 90 q^{93} - 7 q^{94} + 2 q^{95} + 393 q^{96} - 4 q^{97} + 2 q^{98} - 40 q^{99}+O(q^{100}) \) 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9 + 2 * q^10 + 2 * q^11 - 5 * q^12 + 13 * q^13 - 2 * q^14 + 2 * q^15 - 6 * q^16 - 51 * q^17 + q^18 - 9 * q^19 - 16 * q^20 - 2 * q^21 + 34 * q^22 - 10 * q^23 - 76 * q^24 - 13 * q^25 - 31 * q^26 + 14 * q^27 + 27 * q^28 + 3 * q^29 + 5 * q^30 + 6 * q^31 + 22 * q^32 - 58 * q^33 + q^34 + 13 * q^35 + 193 * q^36 - 36 * q^37 + 4 * q^38 - 2 * q^39 - 29 * q^40 - 34 * q^41 - 5 * q^42 - 22 * q^43 + 8 * q^44 + 170 * q^45 - 198 * q^46 - 14 * q^47 - 120 * q^48 - 13 * q^49 + 2 * q^50 - 6 * q^51 + 33 * q^52 - 18 * q^53 + 188 * q^54 - 31 * q^55 - 15 * q^56 - 9 * q^57 + 114 * q^58 + 46 * q^59 - 16 * q^60 - 56 * q^61 - 146 * q^62 + 17 * q^63 - 109 * q^64 + 2 * q^65 - 14 * q^66 - 10 * q^67 + 86 * q^68 - 6 * q^69 - 2 * q^70 - 25 * q^72 + 64 * q^73 + 79 * q^74 + 2 * q^75 + 32 * q^76 - 13 * q^77 - 64 * q^78 - 118 * q^79 - 17 * q^80 + 23 * q^81 + 129 * q^82 - 117 * q^83 - 72 * q^84 - 7 * q^85 + 74 * q^86 - 51 * q^87 - 40 * q^88 - 35 * q^89 + 100 * q^90 + 42 * q^91 + 76 * q^92 - 90 * q^93 - 7 * q^94 + 2 * q^95 + 393 * q^96 - 4 * q^97 + 2 * q^98 - 40 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/805\mathbb{Z}\right)^\times$.

$n$	$162$	$281$	$346$
$\chi(n)$	$1$	$e\left(\frac{7}{11}\right)$	$1$

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 $

$2$	−0.438445	−	0.505992i	−0.310027	−	0.357790i	0.579257	−	0.815145i	$-0.303343\pi$
$2$	−0.438445	−	0.505992i	−0.310027	−	0.357790i	−0.889285	+	0.457354i	$0.848797\pi$
$3$	0.0821184	+	0.0527743i	0.0474111	+	0.0304692i	0.564132	−	0.825685i	$-0.309211\pi$
$3$	0.0821184	+	0.0527743i	0.0474111	+	0.0304692i	−0.516721	+	0.856154i	$0.672847\pi$
$4$	0.220835	−	1.53594i	0.110418	−	0.767972i
$5$	0.415415	−	0.909632i	0.185779	−	0.406800i
$5$	0.415415	−	0.909632i	0.185779	−	0.406800i
$6$	−0.00930099	−	0.0646898i	−0.00379712	−	0.0264095i
$7$	0.959493	+	0.281733i	0.362654	+	0.106485i
$7$	0.959493	+	0.281733i	0.362654	+	0.106485i
$8$	−2.00048	+	1.28563i	−0.707276	+	0.454538i
$9$	−1.24229	−	2.72023i	−0.414096	−	0.906743i
$10$	−0.642403	+	0.188627i	−0.203146	+	0.0596490i
$11$	−3.65530	+	4.21844i	−1.10212	+	1.27191i	−0.142745	+	0.989760i	$0.545593\pi$
$11$	−3.65530	+	4.21844i	−1.10212	+	1.27191i	−0.959371	+	0.282149i	$0.908953\pi$
$12$	0.0991929	−	0.114475i	0.0286345	−	0.0330460i
$13$	−6.81143	+	2.00001i	−1.88915	+	0.554704i	−0.895087	+	0.445891i	$0.852887\pi$
$13$	−6.81143	+	2.00001i	−1.88915	+	0.554704i	−0.994062	+	0.108813i	$0.965295\pi$
$14$	−0.278130	−	0.609020i	−0.0743334	−	0.162767i
$15$	0.0821184	−	0.0527743i	0.0212029	−	0.0136263i
$16$	−1.45015	−	0.425802i	−0.362537	−	0.106450i
$17$	−0.445050	−	3.09539i	−0.107940	−	0.750742i	−0.969854	−	0.243687i	$-0.921643\pi$
$17$	−0.445050	−	3.09539i	−0.107940	−	0.750742i	0.861914	−	0.507055i	$-0.169266\pi$
$18$	−0.831740	+	1.82126i	−0.196043	+	0.429274i
$19$	−0.685014	+	4.76438i	−0.157153	+	1.09302i	0.746694	+	0.665168i	$0.231640\pi$
$19$	−0.685014	+	4.76438i	−0.157153	+	1.09302i	−0.903847	+	0.427856i	$0.859269\pi$
$20$	−1.30541	−	0.838933i	−0.291897	−	0.187591i
$21$	0.0639238	+	0.0737720i	0.0139493	+	0.0160984i
$22$	3.73715			0.796763
$23$	0.358769	+	4.78239i	0.0748084	+	0.997198i
$23$	0.358769	+	4.78239i	0.0748084	+	0.997198i
$24$	−0.232124			−0.0473821
$25$	−0.654861	−	0.755750i	−0.130972	−	0.151150i
$26$	3.99842	+	2.56963i	0.784156	+	0.503946i
$27$	0.0832194	−	0.578804i	0.0160156	−	0.111391i
$28$	0.644615	−	1.41151i	0.121821	−	0.266750i
$29$	−1.24247	−	8.64156i	−0.230721	−	1.60470i	−0.695001	−	0.719009i	$-0.744596\pi$
$29$	−1.24247	−	8.64156i	−0.230721	−	1.60470i	0.464280	−	0.885688i	$-0.346313\pi$
$30$	−0.0627077	−	0.0184126i	−0.0114488	−	0.00336167i
$31$	3.38788	−	2.17726i	0.608481	−	0.391047i	−0.199806	−	0.979835i	$-0.564031\pi$
$31$	3.38788	−	2.17726i	0.608481	−	0.391047i	0.808287	+	0.588789i	$0.200395\pi$
$32$	2.39605	+	5.24661i	0.423565	+	0.927479i
$33$	−0.522793	+	0.153506i	−0.0910065	+	0.0267219i
$34$	−1.37111	+	1.58235i	−0.235144	+	0.271370i
$35$	0.654861	−	0.755750i	0.110692	−	0.127745i
$36$	−4.45246	+	1.30736i	−0.742076	+	0.217893i
$37$	1.34475	+	2.94459i	0.221075	+	0.484088i	0.987376	−	0.158395i	$-0.0506318\pi$
$37$	1.34475	+	2.94459i	0.221075	+	0.484088i	−0.766300	+	0.642482i	$0.777905\pi$
$38$	2.71108	−	1.74230i	0.439795	−	0.282639i
$39$	−0.664892	−	0.195230i	−0.106468	−	0.0312618i
$40$	0.338421	+	2.35377i	0.0535090	+	0.372163i
$41$	2.60036	−	5.69400i	0.406108	−	0.889253i	−0.590506	−	0.807033i	$-0.701072\pi$
$41$	2.60036	−	5.69400i	0.406108	−	0.889253i	0.996614	−	0.0822198i	$-0.0262010\pi$
$42$	0.00930099	−	0.0646898i	0.00143517	−	0.00998186i
$43$	1.39999	+	0.899716i	0.213496	+	0.137205i	0.643019	−	0.765851i	$-0.277682\pi$
$43$	1.39999	+	0.899716i	0.213496	+	0.137205i	−0.429523	+	0.903056i	$0.641318\pi$
$44$	5.67207	+	6.54592i	0.855097	+	0.986835i
$45$	−2.99047			−0.445793
$46$	2.26255	−	2.27835i	0.333595	−	0.335924i
$47$	−7.06723			−1.03086			−0.515431	−	0.856931i	$-0.672368\pi$
$47$	−7.06723			−1.03086			−0.515431	+	0.856931i	$0.672368\pi$
$48$	−0.0966123	−	0.111497i	−0.0139448	−	0.0160931i
$49$	0.841254	+	0.540641i	0.120179	+	0.0772344i
$50$	−0.0952831	+	0.662709i	−0.0134751	+	0.0937212i
$51$	0.126810	−	0.277675i	0.0177570	−	0.0388823i
$52$	1.56771	+	10.9036i	0.217402	+	1.51206i
$53$	−6.18635	−	1.81648i	−0.849760	−	0.249512i	−0.172275	−	0.985049i	$-0.555112\pi$
$53$	−6.18635	−	1.81648i	−0.849760	−	0.249512i	−0.677485	+	0.735537i	$0.736930\pi$
$54$	−0.329357	+	0.211665i	−0.0448198	+	0.0288040i
$55$	2.31876	+	5.07739i	0.312662	+	0.684635i
$56$	−2.28165	+	0.669952i	−0.304898	+	0.0895261i
$57$	−0.307689	+	0.355092i	−0.0407544	+	0.0470330i
$58$	−3.82781	+	4.41752i	−0.502616	+	0.580049i
$59$	−5.60542	+	1.64590i	−0.729764	+	0.214278i	−0.625448	−	0.780266i	$-0.715084\pi$
$59$	−5.60542	+	1.64590i	−0.729764	+	0.214278i	−0.104316	+	0.994544i	$0.533265\pi$
$60$	−0.0629237	−	0.137784i	−0.00812341	−	0.0177878i
$61$	2.62345	−	1.68599i	0.335898	−	0.215869i	−0.361808	−	0.932253i	$-0.617840\pi$
$61$	2.62345	−	1.68599i	0.335898	−	0.215869i	0.697706	+	0.716384i	$0.254204\pi$
$62$	−2.58707	−	0.759633i	−0.328558	−	0.0964735i
$63$	−0.425588	−	2.96003i	−0.0536191	−	0.372929i
$64$	0.348521	−	0.763154i	0.0435651	−	0.0953942i
$65$	−1.01029	+	7.02673i	−0.125311	+	0.871558i
$66$	0.306888	+	0.197225i	0.0377754	+	0.0242767i
$67$	6.00830	+	6.93395i	0.734031	+	0.847117i	0.992919	−	0.118790i	$-0.0379016\pi$
$67$	6.00830	+	6.93395i	0.734031	+	0.847117i	−0.258888	+	0.965907i	$0.583356\pi$
$68$	−4.85262			−0.588467
$69$	−0.222926	+	0.411656i	−0.0268371	+	0.0495576i
$70$	−0.669524			−0.0800234
$71$	−8.11127	−	9.36091i	−0.962631	−	1.11094i	−0.993773	−	0.111421i	$-0.964460\pi$
$71$	−8.11127	−	9.36091i	−0.962631	−	1.11094i	0.0311422	−	0.999515i	$-0.490086\pi$
$72$	5.98237	+	3.84464i	0.705029	+	0.453095i
$73$	1.95716	−	13.6124i	0.229068	−	1.59321i	−0.472977	−	0.881075i	$-0.656821\pi$
$73$	1.95716	−	13.6124i	0.229068	−	1.59321i	0.702046	−	0.712132i	$-0.252270\pi$
$74$	0.900342	−	1.97147i	0.104663	−	0.229179i
$75$	−0.0138920	−	0.0966207i	−0.00160411	−	0.0111568i
$76$	7.16654	+	2.10429i	0.822059	+	0.241378i
$77$	−4.69571	+	3.01775i	−0.535126	+	0.343905i
$78$	0.192734	+	0.422028i	0.0218228	+	0.0477852i
$79$	−4.96451	+	1.45771i	−0.558551	+	0.164006i	−0.548810	−	0.835947i	$-0.684919\pi$
$79$	−4.96451	+	1.45771i	−0.558551	+	0.164006i	−0.00974135	+	0.999953i	$0.503101\pi$
$80$	−0.989736	+	1.14222i	−0.110656	+	0.127704i
$81$	−5.83765	+	6.73700i	−0.648627	+	0.748556i
$82$	−4.02123	+	1.18074i	−0.444071	+	0.130391i
$83$	−0.0121031	−	0.0265021i	−0.00132849	−	0.00290899i	0.908967	−	0.416869i	$-0.136873\pi$
$83$	−0.0121031	−	0.0265021i	−0.00132849	−	0.00290899i	−0.910295	+	0.413960i	$0.864145\pi$
$84$	0.127426	−	0.0818918i	0.0139033	−	0.00893513i
$85$	−3.00054	−	0.881039i	−0.325455	−	0.0955621i
$86$	−0.158567	−	1.10286i	−0.0170987	−	0.118924i
$87$	0.354022	−	0.775201i	0.0379552	−	0.0831103i
$88$	1.88900	−	13.1383i	0.201368	−	1.40054i
$89$	−12.8009	−	8.22664i	−1.35689	−	0.872022i	−0.358780	−	0.933422i	$-0.616807\pi$
$89$	−12.8009	−	8.22664i	−1.35689	−	0.872022i	−0.998113	+	0.0613997i	$0.980444\pi$
$90$	1.31116	+	1.51316i	0.138208	+	0.159501i
$91$	−7.09898			−0.744176
$92$	7.42472	+	0.505073i	0.774080	+	0.0526575i
$93$	0.393110			0.0407636
$94$	3.09859	+	3.57596i	0.319595	+	0.368832i
$95$	4.04926	+	2.60230i	0.415446	+	0.266991i
$96$	−0.0801266	+	0.557293i	−0.00817789	+	0.0568785i
$97$	−2.88356	+	6.31411i	−0.292781	+	0.641101i	−0.997671	−	0.0682160i	$-0.978269\pi$
$97$	−2.88356	+	6.31411i	−0.292781	+	0.641101i	0.704889	+	0.709317i	$0.250997\pi$
$98$	−0.0952831	−	0.662709i	−0.00962505	−	0.0669437i
$99$	16.0161	+	4.70274i	1.60968	+	0.472643i
$100$	−1.30541	+	0.838933i	−0.130541	+	0.0838933i
$101$	−0.309112	−	0.676861i	−0.0307578	−	0.0673502i	0.893630	−	0.448805i	$-0.148150\pi$
$101$	−0.309112	−	0.676861i	−0.0307578	−	0.0673502i	−0.924387	+	0.381455i	$0.875423\pi$
$102$	−0.196101	+	0.0575804i	−0.0194169	+	0.00570131i
$103$	−0.984334	+	1.13598i	−0.0969893	+	0.111932i	−0.802169	−	0.597097i	$-0.796321\pi$
$103$	−0.984334	+	1.13598i	−0.0969893	+	0.111932i	0.705180	+	0.709028i	$0.250866\pi$
$104$	11.0548	−	12.7580i	1.08401	−	1.25102i
$105$	0.0936602	−	0.0275011i	0.00914030	−	0.00268383i
$106$	1.79325	+	3.92667i	0.174176	+	0.381392i
$107$	−1.24965	+	0.803100i	−0.120808	+	0.0776386i	−0.599649	−	0.800263i	$-0.704693\pi$
$107$	−1.24965	+	0.803100i	−0.120808	+	0.0776386i	0.478841	+	0.877901i	$0.341057\pi$
$108$	−0.870632	−	0.255641i	−0.0837766	−	0.0245990i
$109$	−0.956392	−	6.65185i	−0.0916057	−	0.637132i	−0.982959	−	0.183823i	$-0.941153\pi$
$109$	−0.956392	−	6.65185i	−0.0916057	−	0.637132i	0.891354	−	0.453309i	$-0.149756\pi$
$110$	1.55247	−	3.39943i	0.148022	−	0.324123i
$111$	−0.0449700	+	0.312773i	−0.00426836	+	0.0296871i
$112$	−1.27144	−	0.817107i	−0.120140	−	0.0772094i
$113$	11.4567	+	13.2217i	1.07775	+	1.24379i	0.968298	+	0.249799i	$0.0803646\pi$
$113$	11.4567	+	13.2217i	1.07775	+	1.24379i	0.109453	+	0.993992i	$0.465090\pi$
$114$	0.314578			0.0294629
$115$	4.49926	+	1.66033i	0.419558	+	0.154827i
$116$	−13.5473			−1.25784
$117$	13.9022	+	16.0440i	1.28526	+	1.48327i
$118$	3.29048	+	2.11466i	0.302913	+	0.194671i
$119$	0.445050	−	3.09539i	0.0407976	−	0.283754i
$120$	−0.0964278	+	0.211147i	−0.00880262	+	0.0192750i
$121$	−2.86857	−	19.9513i	−0.260779	−	1.81376i
$122$	−2.00333	−	0.588232i	−0.181373	−	0.0532560i
$123$	0.514034	−	0.330350i	0.0463489	−	0.0297866i
$124$	−2.59598	−	5.68441i	−0.233126	−	0.510475i
$125$	−0.959493	+	0.281733i	−0.0858197	+	0.0251989i
$126$	−1.31116	+	1.51316i	−0.116807	+	0.134803i
$127$	6.74093	−	7.77945i	0.598161	−	0.690315i	−0.373247	−	0.927732i	$-0.621756\pi$
$127$	6.74093	−	7.77945i	0.598161	−	0.690315i	0.971408	+	0.237418i	$0.0763010\pi$
$128$	10.5294	−	3.09173i	0.930681	−	0.273272i
$129$	0.0674827	+	0.147766i	0.00594152	+	0.0130101i
$130$	3.99842	−	2.56963i	0.350685	−	0.225372i
$131$	−21.5704	−	6.33364i	−1.88462	−	0.553373i	−0.995391	−	0.0959013i	$-0.969427\pi$
$131$	−21.5704	−	6.33364i	−1.88462	−	0.553373i	−0.889224	−	0.457472i	$-0.848755\pi$
$132$	0.120325	+	0.836880i	0.0104730	+	0.0728410i
$133$	−1.99955	+	4.37840i	−0.173383	+	0.379655i
$134$	0.874217	−	6.08031i	0.0755208	−	0.525259i
$135$	−0.491928	−	0.316143i	−0.0423384	−	0.0272092i
$136$	4.86983	+	5.62009i	0.417585	+	0.481918i
$137$	1.50734			0.128780			0.0643902	−	0.997925i	$-0.479490\pi$
$137$	1.50734			0.128780			0.0643902	+	0.997925i	$0.479490\pi$
$138$	0.306035	−	0.0676897i	0.0260515	−	0.00576213i
$139$	−9.76972			−0.828657			−0.414329	−	0.910127i	$-0.635984\pi$
$139$	−9.76972			−0.828657			−0.414329	+	0.910127i	$0.635984\pi$
$140$	−1.01617	−	1.17273i	−0.0858822	−	0.0991134i
$141$	−0.580349	−	0.372968i	−0.0488742	−	0.0314096i
$142$	−1.18020	+	8.20848i	−0.0990403	+	0.688841i
$143$	16.4609	−	36.0443i	1.37653	−	3.01417i
$144$	0.643221	+	4.47370i	0.0536017	+	0.372808i
$145$	−8.37678	−	2.45964i	−0.695654	−	0.204262i
$146$	−7.74586	+	4.97796i	−0.641052	+	0.411979i
$147$	0.0405504	+	0.0887931i	0.00334454	+	0.00732353i
$148$	4.81969	−	1.41519i	0.396176	−	0.116328i
$149$	−11.0846	+	12.7923i	−0.908087	+	1.04799i	0.0905555	+	0.995891i	$0.471136\pi$
$149$	−11.0846	+	12.7923i	−0.908087	+	1.04799i	−0.998642	+	0.0520963i	$0.983410\pi$
$150$	−0.0427985	+	0.0493921i	−0.00349448	+	0.00403284i
$151$	15.4416	−	4.53407i	1.25662	−	0.368978i	0.415386	−	0.909645i	$-0.363646\pi$
$151$	15.4416	−	4.53407i	1.25662	−	0.368978i	0.841236	+	0.540667i	$0.181828\pi$
$152$	−4.75487	−	10.4117i	−0.385671	−	0.844501i
$153$	−7.86728	+	5.05600i	−0.636032	+	0.408753i
$154$	3.58577	+	1.05288i	0.288949	+	0.0848432i
$155$	−0.573127	−	3.98619i	−0.0460347	−	0.320178i
$156$	−0.446694	+	0.978124i	−0.0357641	+	0.0783126i
$157$	0.412429	−	2.86850i	0.0329154	−	0.228932i	−0.966723	−	0.255826i	$-0.917653\pi$
$157$	0.412429	−	2.86850i	0.0329154	−	0.228932i	0.999638	+	0.0268942i	$0.00856173\pi$
$158$	2.91426	+	1.87288i	0.231846	+	0.148998i
$159$	−0.412149	−	0.475646i	−0.0326856	−	0.0377212i
$160$	5.76784			0.455988
$161$	−1.00312	+	4.68975i	−0.0790569	+	0.369604i
$162$	5.96836			0.468918
$163$	2.54779	+	2.94031i	0.199559	+	0.230303i	0.846705	−	0.532063i	$-0.178583\pi$
$163$	2.54779	+	2.94031i	0.199559	+	0.230303i	−0.647146	+	0.762366i	$0.724038\pi$
$164$	−8.17141	−	5.25145i	−0.638080	−	0.410069i
$165$	−0.0775422	+	0.539318i	−0.00603665	+	0.0419858i
$166$	−0.00810332	+	0.0177438i	−0.000628939	+	0.00137719i
$167$	0.369157	+	2.56755i	0.0285663	+	0.198683i	0.999107	−	0.0422549i	$-0.0134542\pi$
$167$	0.369157	+	2.56755i	0.0285663	+	0.198683i	−0.970541	+	0.240938i	$0.922545\pi$
$168$	−0.222721	−	0.0653969i	−0.0171833	−	0.00504548i
$169$	31.4592	−	20.2176i	2.41994	−	1.55520i
$170$	0.869774	+	1.90454i	0.0667086	+	0.146071i
$171$	13.8112	−	4.05533i	1.05617	−	0.310119i
$172$	1.69108	−	1.95161i	0.128944	−	0.148809i
$173$	−12.3525	+	14.2556i	−0.939144	+	1.08383i	0.0571967	+	0.998363i	$0.481784\pi$
$173$	−12.3525	+	14.2556i	−0.939144	+	1.08383i	−0.996341	+	0.0854673i	$0.972762\pi$
$174$	−0.547465	+	0.160750i	−0.0415032	+	0.0121864i
$175$	−0.415415	−	0.909632i	−0.0314024	−	0.0687617i
$176$	7.09695	−	4.56093i	0.534952	−	0.343793i
$177$	−0.547169	−	0.160663i	−0.0411278	−	0.0120762i
$178$	1.44987	+	10.0841i	0.108673	+	0.755834i
$179$	0.940201	−	2.05875i	0.0702739	−	0.153878i	−0.871235	−	0.490866i	$-0.836681\pi$
$179$	0.940201	−	2.05875i	0.0702739	−	0.153878i	0.941509	+	0.336987i	$0.109408\pi$
$180$	−0.660402	+	4.59320i	−0.0492234	+	0.342357i
$181$	4.78838	+	3.07731i	0.355918	+	0.228734i	0.706365	−	0.707848i	$-0.250334\pi$
$181$	4.78838	+	3.07731i	0.355918	+	0.228734i	−0.350447	+	0.936583i	$0.613970\pi$
$182$	3.11251	+	3.59203i	0.230715	+	0.266259i
$183$	0.304410			0.0225026
$184$	−6.86609	−	9.10583i	−0.506175	−	0.671291i
$185$	3.23712			0.237998
$186$	−0.172357	−	0.198911i	−0.0126378	−	0.0145848i
$187$	14.6845	+	9.43716i	1.07384	+	0.690114i
$188$	−1.56069	+	10.8549i	−0.113825	+	0.791672i
$189$	0.242916	−	0.531912i	0.0176696	−	0.0386909i
$190$	−0.458633	−	3.18986i	−0.0332727	−	0.231417i
$191$	14.7716	+	4.33735i	1.06884	+	0.313839i	0.768405	−	0.639963i	$-0.221051\pi$
$191$	14.7716	+	4.33735i	1.06884	+	0.313839i	0.300433	+	0.953803i	$0.402869\pi$
$192$	0.0688948	−	0.0442760i	0.00497205	−	0.00319535i
$193$	−4.78227	−	10.4717i	−0.344236	−	0.753771i	0.655764	−	0.754966i	$-0.272347\pi$
$193$	−4.78227	−	10.4717i	−0.344236	−	0.753771i	−0.999999	+	0.00119547i	$0.999619\pi$
$194$	4.45917	−	1.30933i	0.320150	−	0.0940045i
$195$	−0.453794	+	0.523706i	−0.0324968	+	0.0375034i
$196$	1.01617	−	1.17273i	0.0725837	−	0.0837661i
$197$	11.8713	−	3.48573i	0.845795	−	0.248348i	0.170006	−	0.985443i	$-0.445621\pi$
$197$	11.8713	−	3.48573i	0.845795	−	0.248348i	0.675789	+	0.737095i	$0.263803\pi$
$198$	−4.64261	−	10.1659i	−0.329936	−	0.722459i
$199$	−22.0870	+	14.1945i	−1.56571	+	1.00622i	−0.584931	+	0.811083i	$0.698878\pi$
$199$	−22.0870	+	14.1945i	−1.56571	+	1.00622i	−0.980776	+	0.195136i	$0.937485\pi$
$200$	2.28165	+	0.669952i	0.161337	+	0.0473728i
$201$	0.127458	+	0.886489i	0.00899018	+	0.0625281i
$202$	−0.206958	+	0.453174i	−0.0145615	+	0.0318852i
$203$	1.24247	−	8.64156i	0.0872042	−	0.606519i
$204$	−0.398490	−	0.256094i	−0.0278999	−	0.0179301i
$205$	−4.09921	−	4.73074i	−0.286301	−	0.330410i
$206$	1.00637			0.0701174
$207$	12.5635	−	6.91704i	0.873224	−	0.480767i
$208$	10.7292			0.743935
$209$	−17.5943	−	20.3049i	−1.21703	−	1.40452i
$210$	−0.0549802	−	0.0353336i	−0.00379399	−	0.00243825i
$211$	1.03082	−	7.16952i	0.0709647	−	0.493570i	−0.923081	−	0.384606i	$-0.874337\pi$
$211$	1.03082	−	7.16952i	0.0709647	−	0.493570i	0.994046	−	0.108964i	$-0.0347535\pi$
$212$	−4.15617	+	9.10074i	−0.285447	+	0.625041i
$213$	−0.172069	−	1.19677i	−0.0117900	−	0.0820013i
$214$	0.954263	+	0.280197i	0.0652321	+	0.0191539i
$215$	1.39999	−	0.899716i	0.0954782	−	0.0613601i
$216$	0.577648	+	1.26487i	0.0393040	+	0.0860637i
$217$	3.86405	−	1.13459i	0.262309	−	0.0770208i
$218$	−2.94646	+	3.40040i	−0.199559	+	0.230304i
$219$	0.879101	−	1.01454i	0.0594042	−	0.0685561i
$220$	8.31064	−	2.44023i	0.560303	−	0.164520i
$221$	9.22224	+	20.1939i	0.620355	+	1.35839i
$222$	0.177978	−	0.114379i	0.0119451	−	0.00767663i
$223$	−7.18395	−	2.10940i	−0.481073	−	0.141256i	0.0321996	−	0.999481i	$-0.489749\pi$
$223$	−7.18395	−	2.10940i	−0.481073	−	0.141256i	−0.513272	+	0.858226i	$0.671567\pi$
$224$	0.820849	+	5.70913i	0.0548453	+	0.381457i
$225$	−1.24229	+	2.72023i	−0.0828191	+	0.181349i
$226$	1.66696	−	11.5940i	0.110884	−	0.771218i
$227$	−2.39038	−	1.53620i	−0.158655	−	0.101961i	0.458904	−	0.888486i	$-0.348242\pi$
$227$	−2.39038	−	1.53620i	−0.158655	−	0.101961i	−0.617559	+	0.786524i	$0.711878\pi$
$228$	0.477452	+	0.551009i	0.0316201	+	0.0364915i
$229$	14.6477			0.967948			0.483974	−	0.875083i	$-0.339193\pi$
$229$	14.6477			0.967948			0.483974	+	0.875083i	$0.339193\pi$
$230$	−1.13256	−	3.00455i	−0.0746788	−	0.198114i
$231$	−0.544864			−0.0358494
$232$	13.5954	+	15.6899i	0.892580	+	1.03009i
$233$	−13.0783	−	8.40494i	−0.856791	−	0.550626i	0.0368948	−	0.999319i	$-0.488253\pi$
$233$	−13.0783	−	8.40494i	−0.856791	−	0.550626i	−0.893686	+	0.448693i	$0.851890\pi$
$234$	2.02280	−	14.0688i	0.132234	−	0.919709i
$235$	−2.93583	+	6.42858i	−0.191513	+	0.419354i
$236$	1.29014	+	8.97309i	0.0839806	+	0.584098i
$237$	−0.484607	−	0.142294i	−0.0314786	−	0.00924296i
$238$	−1.76137	+	1.13196i	−0.114173	+	0.0733744i
$239$	−4.35942	−	9.54581i	−0.281988	−	0.617467i	0.714643	−	0.699490i	$-0.246589\pi$
$239$	−4.35942	−	9.54581i	−0.281988	−	0.617467i	−0.996630	+	0.0820227i	$0.973862\pi$
$240$	−0.141555	+	0.0415643i	−0.00913734	+	0.00268296i
$241$	11.9295	−	13.7674i	0.768449	−	0.886837i	−0.227770	−	0.973715i	$-0.573144\pi$
$241$	11.9295	−	13.7674i	0.768449	−	0.886837i	0.996219	+	0.0868779i	$0.0276890\pi$
$242$	−8.83752	+	10.1990i	−0.568097	+	0.655619i
$243$	−2.51812	+	0.739388i	−0.161538	+	0.0474318i
$244$	−2.01023	−	4.40179i	−0.128692	−	0.281796i
$245$	0.841254	−	0.540641i	0.0537457	−	0.0345403i
$246$	−0.392530	−	0.115257i	−0.0250268	−	0.00734853i
$247$	−4.86290	−	33.8222i	−0.309419	−	2.15206i
$248$	−3.97823	+	8.71111i	−0.252618	+	0.553156i
$249$	0.000404742	−	0.00281504i	2.56495e−5	−	0.000178396i
$250$	0.563239	+	0.361972i	0.0356224	+	0.0228931i
$251$	−12.5806	−	14.5188i	−0.794082	−	0.916419i	0.203959	−	0.978979i	$-0.434619\pi$
$251$	−12.5806	−	14.5188i	−0.794082	−	0.916419i	−0.998041	+	0.0625599i	$0.980074\pi$
$252$	−4.64043			−0.292320
$253$	−21.4857	−	15.9677i	−1.35079	−	1.00388i
$254$	−6.89187			−0.432434
$255$	−0.199904	−	0.230701i	−0.0125184	−	0.0144471i
$256$	−7.59254	−	4.87943i	−0.474534	−	0.304964i
$257$	−2.24766	+	15.6328i	−0.140205	+	0.975148i	0.791302	+	0.611425i	$0.209403\pi$
$257$	−2.24766	+	15.6328i	−0.140205	+	0.975148i	−0.931507	+	0.363722i	$0.881506\pi$
$258$	0.0451812	−	0.0989331i	0.00281286	−	0.00615931i
$259$	0.460691	+	3.20417i	0.0286259	+	0.199098i
$260$	10.5695	+	3.10350i	0.655496	+	0.192471i
$261$	−21.9635	+	14.1151i	−1.35951	+	0.873702i
$262$	6.25266	+	13.6914i	0.386290	+	0.845858i
$263$	13.8911	−	4.07879i	0.856561	−	0.251509i	0.176171	−	0.984360i	$-0.443629\pi$
$263$	13.8911	−	4.07879i	0.856561	−	0.251509i	0.680389	+	0.732851i	$0.261811\pi$
$264$	0.848484	−	0.979202i	0.0522206	−	0.0602657i
$265$	−4.22223	+	4.87271i	−0.259369	+	0.299328i
$266$	3.09212	−	0.907930i	0.189590	−	0.0556687i
$267$	−0.617034	−	1.35112i	−0.0377619	−	0.0826870i
$268$	11.9770	−	7.69716i	0.731612	−	0.470179i
$269$	16.4025	+	4.81621i	1.00008	+	0.293650i	0.740488	−	0.672069i	$-0.234594\pi$
$269$	16.4025	+	4.81621i	1.00008	+	0.293650i	0.259590	+	0.965719i	$0.416412\pi$
$270$	0.0557173	+	0.387523i	0.00339085	+	0.0235839i
$271$	−0.898359	+	1.96713i	−0.0545714	+	0.119495i	−0.934953	−	0.354771i	$-0.884559\pi$
$271$	−0.898359	+	1.96713i	−0.0545714	+	0.119495i	0.880382	+	0.474265i	$0.157286\pi$
$272$	−0.672634	+	4.67827i	−0.0407844	+	0.283662i
$273$	−0.582957	−	0.374644i	−0.0352822	−	0.0226745i
$274$	−0.660883	−	0.762700i	−0.0399254	−	0.0460764i
$275$	5.58180			0.336595
$276$	0.583051	+	0.433310i	0.0350955	+	0.0260822i
$277$	−26.2909			−1.57967			−0.789833	−	0.613322i	$-0.789833\pi$
$277$	−26.2909			−1.57967			−0.789833	+	0.613322i	$0.789833\pi$
$278$	4.28348	+	4.94340i	0.256906	+	0.296486i
$279$	−10.1314	−	6.51102i	−0.606548	−	0.389805i
$280$	−0.338421	+	2.35377i	−0.0202245	+	0.140665i
$281$	5.15969	−	11.2982i	0.307801	−	0.673991i	−0.691004	−	0.722851i	$-0.742831\pi$
$281$	5.15969	−	11.2982i	0.307801	−	0.673991i	0.998806	+	0.0488596i	$0.0155587\pi$
$282$	0.0657322	+	0.457178i	0.00391430	+	0.0272245i
$283$	−5.27812	−	1.54980i	−0.313752	−	0.0921258i	0.121066	−	0.992645i	$-0.461369\pi$
$283$	−5.27812	−	1.54980i	−0.313752	−	0.0921258i	−0.434817	+	0.900519i	$0.643187\pi$
$284$	−16.1691	+	10.3912i	−0.959459	+	0.616607i
$285$	0.195184	+	0.427394i	0.0115617	+	0.0253166i
$286$	−25.4553	+	7.47435i	−1.50520	+	0.441968i
$287$	4.09921	−	4.73074i	0.241969	−	0.279247i
$288$	11.2954	−	13.0356i	0.665588	−	0.768130i
$289$	6.92802	−	2.03425i	0.407531	−	0.119662i
$290$	2.42819	+	5.31700i	0.142588	+	0.312225i
$291$	−0.570016	+	0.366327i	−0.0334149	+	0.0214745i
$292$	−20.4756	−	6.01218i	−1.19824	−	0.351836i
$293$	−4.39329	−	30.5560i	−0.256659	−	1.78510i	−0.556233	−	0.831027i	$-0.687754\pi$
$293$	−4.39329	−	30.5560i	−0.256659	−	1.78510i	0.299574	−	0.954073i	$-0.403155\pi$
$294$	0.0271495	−	0.0594491i	0.00158339	−	0.00346714i
$295$	−0.831413	+	5.78260i	−0.0484067	+	0.336676i
$296$	−6.47579	−	4.16174i	−0.376398	−	0.241896i
$297$	2.13746	+	2.46676i	0.124028	+	0.143136i
$298$	11.3328			0.656492
$299$	−12.0086	−	31.8574i	−0.694474	−	1.84236i
$300$	−0.151472			−0.00874523
$301$	1.08980	+	1.25769i	0.0628149	+	0.0724922i
$302$	−9.06451	−	5.82541i	−0.521604	−	0.335214i
$303$	0.0103371	−	0.0718959i	0.000593849	−	0.00413031i
$304$	3.02205	−	6.61737i	0.173326	−	0.379532i
$305$	−0.443809	−	3.08676i	−0.0254124	−	0.176747i
$306$	6.00766	+	1.76401i	0.343435	+	0.100842i
$307$	15.8535	−	10.1885i	0.904810	−	0.581486i	−0.00340338	−	0.999994i	$-0.501083\pi$
$307$	15.8535	−	10.1885i	0.904810	−	0.581486i	0.908213	+	0.418508i	$0.137447\pi$
$308$	3.59812	+	7.87877i	0.205022	+	0.448935i
$309$	−0.140783	+	0.0413375i	−0.00800884	+	0.00235161i
$310$	−1.76569	+	2.03772i	−0.100285	+	0.115735i
$311$	1.41088	−	1.62824i	0.0800036	−	0.0923291i	−0.714336	−	0.699802i	$-0.753271\pi$
$311$	1.41088	−	1.62824i	0.0800036	−	0.0923291i	0.794340	+	0.607473i	$0.207817\pi$
$312$	1.58110	−	0.464252i	0.0895119	−	0.0262831i
$313$	7.57994	+	16.5977i	0.428443	+	0.938160i	0.993577	+	0.113161i	$0.0360974\pi$
$313$	7.57994	+	16.5977i	0.428443	+	0.938160i	−0.565133	+	0.825000i	$0.691175\pi$
$314$	−1.63227	+	1.04900i	−0.0921142	+	0.0591982i
$315$	−2.86934	−	0.842513i	−0.161669	−	0.0474702i
$316$	1.14262	+	7.94713i	0.0642777	+	0.447061i
$317$	−12.3719	+	27.0907i	−0.694875	+	1.52156i	0.151201	+	0.988503i	$0.451686\pi$
$317$	−12.3719	+	27.0907i	−0.694875	+	1.52156i	−0.846077	+	0.533061i	$0.821041\pi$
$318$	−0.0599683	+	0.417089i	−0.00336286	+	0.0233892i
$319$	40.9955	+	26.3462i	2.29531	+	1.47511i
$320$	−0.549408	−	0.634051i	−0.0307129	−	0.0354445i
$321$	−0.145002			−0.00809322
$322$	2.81279	−	1.54862i	0.156751	−	0.0863015i
$323$	15.0525			0.837541
$324$	9.05850	+	10.4541i	0.503250	+	0.580781i
$325$	5.97205	+	3.83800i	0.331269	+	0.212894i
$326$	0.370708	−	2.57833i	0.0205316	−	0.142800i
$327$	0.272509	−	0.596712i	0.0150698	−	0.0329982i
$328$	2.11840	+	14.7338i	0.116969	+	0.813539i
$329$	−6.78096	−	1.99107i	−0.373846	−	0.109771i
$330$	0.306888	−	0.197225i	0.0168937	−	0.0108569i
$331$	12.4076	+	27.1689i	0.681983	+	1.49334i	0.860528	+	0.509404i	$0.170134\pi$
$331$	12.4076	+	27.1689i	0.681983	+	1.49334i	−0.178544	+	0.983932i	$0.557139\pi$
$332$	−0.0433786	+	0.0127371i	−0.00238071	+	0.000699039i
$333$	6.33940	−	7.31605i	0.347397	−	0.400917i
$334$	1.13730	−	1.31252i	0.0622304	−	0.0718178i
$335$	8.80329	−	2.58488i	0.480975	−	0.141227i
$336$	−0.0612866	−	0.134199i	−0.00334346	−	0.00732116i
$337$	−8.78461	+	5.64553i	−0.478528	+	0.307531i	−0.757577	−	0.652745i	$-0.773617\pi$
$337$	−8.78461	+	5.64553i	−0.478528	+	0.307531i	0.279049	+	0.960277i	$0.409981\pi$
$338$	−24.0230	−	7.05380i	−1.30668	−	0.383676i
$339$	0.243037	+	1.69036i	0.0132000	+	0.0918077i
$340$	−2.01585	+	4.41410i	−0.109325	+	0.239388i
$341$	−3.19908	+	22.2501i	−0.173240	+	1.20491i
$342$	−8.10740	−	5.21031i	−0.438398	−	0.281741i
$343$	0.654861	+	0.755750i	0.0353592	+	0.0408066i
$344$	−3.95734			−0.213366
$345$	0.281849	+	0.373789i	0.0151742	+	0.0201241i
$346$	12.6291			0.678944
$347$	21.4238	+	24.7243i	1.15009	+	1.32727i	0.936630	+	0.350320i	$0.113927\pi$
$347$	21.4238	+	24.7243i	1.15009	+	1.32727i	0.213457	+	0.976952i	$0.431528\pi$
$348$	−1.11248	−	0.714950i	−0.0596354	−	0.0383254i
$349$	−0.267837	+	1.86284i	−0.0143370	+	0.0997158i	−0.995733	−	0.0922763i	$-0.970586\pi$
$349$	−0.267837	+	1.86284i	−0.0143370	+	0.0997158i	0.981396	+	0.191992i	$0.0614948\pi$
$350$	−0.278130	+	0.609020i	−0.0148667	+	0.0325535i
$351$	0.590773	+	4.10892i	0.0315331	+	0.219318i
$352$	−30.8908	−	9.07036i	−1.64649	−	0.483452i
$353$	−3.05165	+	1.96118i	−0.162423	+	0.104383i	−0.619327	−	0.785133i	$-0.712595\pi$
$353$	−3.05165	+	1.96118i	−0.162423	+	0.104383i	0.456904	+	0.889516i	$0.348958\pi$
$354$	0.158609	+	0.347305i	0.00842998	+	0.0184591i
$355$	−11.8845	+	3.48961i	−0.630765	+	0.185209i
$356$	−15.4626	+	17.8447i	−0.819514	+	0.945769i
$357$	0.199904	−	0.230701i	0.0105800	−	0.0122100i
$358$	−1.45394	+	0.426915i	−0.0768431	+	0.0225632i
$359$	4.31015	+	9.43790i	0.227481	+	0.498113i	0.988612	−	0.150484i	$-0.0480832\pi$
$359$	4.31015	+	9.43790i	0.227481	+	0.498113i	−0.761132	+	0.648597i	$0.775356\pi$
$360$	5.98237	−	3.84464i	0.315299	−	0.202630i
$361$	−3.99968	−	1.17441i	−0.210510	−	0.0618112i
$362$	−0.542348	−	3.77211i	−0.0285052	−	0.198258i
$363$	0.817355	−	1.78976i	0.0429000	−	0.0939380i
$364$	−1.56771	+	10.9036i	−0.0821702	+	0.571506i
$365$	−11.5692	−	7.43508i	−0.605560	−	0.389170i
$366$	−0.133467	−	0.154029i	−0.00697643	−	0.00805123i
$367$	−18.1784			−0.948902			−0.474451	−	0.880282i	$-0.657353\pi$
$367$	−18.1784			−0.948902			−0.474451	+	0.880282i	$0.657353\pi$
$368$	1.51608	−	7.08794i	0.0790313	−	0.369484i
$369$	−18.7194			−0.974492
$370$	−1.41930	−	1.63796i	−0.0737859	−	0.0851534i
$371$	−5.42400	−	3.48579i	−0.281600	−	0.180973i
$372$	0.0868126	−	0.603795i	0.00450102	−	0.0313053i
$373$	2.17953	−	4.77251i	0.112852	−	0.247111i	−0.844776	−	0.535120i	$-0.820266\pi$
$373$	2.17953	−	4.77251i	0.112852	−	0.247111i	0.957628	+	0.288010i	$0.0929935\pi$
$374$	−1.66322	−	11.5679i	−0.0860029	−	0.598163i
$375$	−0.0936602	−	0.0275011i	−0.00483659	−	0.00142015i
$376$	14.1378	−	9.08583i	0.729103	−	0.468566i
$377$	25.7462	+	56.3764i	1.32600	+	2.90353i
$378$	−0.375649	+	0.110300i	−0.0193213	+	0.00567324i
$379$	−11.4768	+	13.2450i	−0.589525	+	0.680349i	−0.969625	−	0.244597i	$-0.921344\pi$
$379$	−11.4768	+	13.2450i	−0.589525	+	0.680349i	0.380099	+	0.924946i	$0.375890\pi$
$380$	4.89121	−	5.64476i	0.250914	−	0.289570i
$381$	0.964109	−	0.283088i	0.0493928	−	0.0145030i
$382$	−4.28189	−	9.37602i	−0.219080	−	0.479719i
$383$	−24.3473	+	15.6471i	−1.24409	+	0.799528i	−0.986025	−	0.166600i	$-0.946721\pi$
$383$	−24.3473	+	15.6471i	−1.24409	+	0.799528i	−0.258065	+	0.966128i	$0.583085\pi$
$384$	1.02782	+	0.301797i	0.0524510	+	0.0154010i
$385$	0.794373	+	5.52499i	0.0404850	+	0.281579i
$386$	−3.20184	+	7.01106i	−0.162970	+	0.356854i
$387$	0.708250	−	4.92599i	0.0360024	−	0.250402i
$388$	9.06133	+	5.82336i	0.460019	+	0.295637i
$389$	−19.0989	−	22.0413i	−0.968353	−	1.11754i	−0.993032	−	0.117843i	$-0.962402\pi$
$389$	−19.0989	−	22.0413i	−0.968353	−	1.11754i	0.0246793	−	0.999695i	$-0.492144\pi$
$390$	0.463955			0.0234932
$391$	14.6437	−	3.23893i	0.740563	−	0.163800i
$392$	−2.37797			−0.120106
$393$	−1.43707	−	1.65847i	−0.0724907	−	0.0836588i
$394$	−6.96866	−	4.47849i	−0.351076	−	0.225623i
$395$	−0.736351	+	5.12144i	−0.0370499	+	0.257687i
$396$	10.7601	−	23.5612i	0.540713	−	1.18400i
$397$	1.53549	+	10.6796i	0.0770640	+	0.535992i	0.991383	+	0.130997i	$0.0418177\pi$
$397$	1.53549	+	10.6796i	0.0770640	+	0.535992i	−0.914319	+	0.404995i	$0.867273\pi$
$398$	16.8662	+	4.95237i	0.845427	+	0.248240i
$399$	−0.395266	+	0.254022i	−0.0197881	+	0.0127170i
$400$	0.627845	+	1.37479i	0.0313922	+	0.0687394i
$401$	−0.661826	+	0.194330i	−0.0330500	+	0.00970435i	−0.298216	−	0.954498i	$-0.596391\pi$
$401$	−0.661826	+	0.194330i	−0.0330500	+	0.00970435i	0.265166	+	0.964203i	$0.414573\pi$
$402$	0.392673	−	0.453169i	0.0195848	−	0.0226020i
$403$	−18.7217	+	21.6060i	−0.932596	+	1.07627i
$404$	−1.10788	+	0.325304i	−0.0551193	+	0.0161845i
$405$	3.70315	+	8.10876i	0.184011	+	0.402928i
$406$	−4.91731	+	3.16017i	−0.244042	+	0.156836i
$407$	−17.3371	−	5.09062i	−0.859366	−	0.252333i
$408$	0.103307	+	0.718514i	0.00511445	+	0.0355717i
$409$	−8.50730	+	18.6284i	−0.420659	+	0.921115i	0.574092	+	0.818791i	$0.305355\pi$
$409$	−8.50730	+	18.6284i	−0.420659	+	0.921115i	−0.994751	+	0.102324i	$0.967372\pi$
$410$	−0.596441	+	4.14834i	−0.0294561	+	0.204872i
$411$	0.123780	+	0.0795485i	0.00610561	+	0.00392384i
$412$	1.52743	+	1.76275i	0.0752510	+	0.0868443i
$413$	−5.84207			−0.287469
$414$	−9.00837	−	3.32430i	−0.442737	−	0.163380i
$415$	−0.0291350			−0.00143018
$416$	−26.8138	−	30.9448i	−1.31465	−	1.51719i
$417$	−0.802274	−	0.515590i	−0.0392875	−	0.0252486i
$418$	−2.56000	+	17.8052i	−0.125214	+	0.870880i
$419$	1.30231	−	2.85167i	0.0636221	−	0.139313i	−0.875150	−	0.483852i	$-0.839237\pi$
$419$	1.30231	−	2.85167i	0.0636221	−	0.139313i	0.938772	+	0.344539i	$0.111965\pi$
$420$	−0.0215567	−	0.149930i	−0.00105186	−	0.00731584i
$421$	31.6484	+	9.29280i	1.54245	+	0.452904i	0.938833	−	0.344372i	$-0.111908\pi$
$421$	31.6484	+	9.29280i	1.54245	+	0.452904i	0.603615	+	0.797276i	$0.293726\pi$
$422$	−4.07968	+	2.62185i	−0.198596	+	0.127630i
$423$	8.77952	+	19.2245i	0.426875	+	0.934726i
$424$	14.7110	−	4.31953i	0.714427	−	0.209775i
$425$	−2.04789	+	2.36339i	−0.0993374	+	0.114641i
$426$	−0.530113	+	0.611783i	−0.0256840	+	0.0296410i
$427$	2.99218	−	0.878582i	0.144802	−	0.0425176i
$428$	0.957550	+	2.09674i	0.0462849	+	0.101350i
$429$	3.25395	−	2.09119i	0.157102	−	0.100963i
$430$	−1.06907	−	0.313906i	−0.0515549	−	0.0151379i
$431$	−1.56676	−	10.8971i	−0.0754684	−	0.524894i	−0.992128	−	0.125226i	$-0.960034\pi$
$431$	−1.56676	−	10.8971i	−0.0754684	−	0.524894i	0.916660	−	0.399668i	$-0.130875\pi$
$432$	−0.367136	+	0.803915i	−0.0176638	+	0.0386784i
$433$	−3.58512	+	24.9350i	−0.172290	+	1.19830i	0.701741	+	0.712432i	$0.252406\pi$
$433$	−3.58512	+	24.9350i	−0.172290	+	1.19830i	−0.874031	+	0.485870i	$0.838503\pi$
$434$	−2.26826	−	1.45772i	−0.108880	−	0.0699730i
$435$	−0.558081	−	0.644060i	−0.0267580	−	0.0308803i
$436$	−10.4281			−0.499414
$437$	−23.0309	−	1.56670i	−1.10172	−	0.0749453i
$438$	−0.898785			−0.0429456
$439$	2.44832	+	2.82551i	0.116852	+	0.134854i	0.811162	−	0.584822i	$-0.198836\pi$
$439$	2.44832	+	2.82551i	0.116852	+	0.134854i	−0.694310	+	0.719676i	$0.744290\pi$
$440$	−11.1663	−	7.17613i	−0.532331	−	0.342108i
$441$	0.425588	−	2.96003i	0.0202661	−	0.140954i
$442$	6.17451	−	13.5203i	0.293691	−	0.643095i
$443$	−3.20524	−	22.2929i	−0.152285	−	1.05917i	−0.912377	−	0.409352i	$-0.865755\pi$
$443$	−3.20524	−	22.2929i	−0.152285	−	1.05917i	0.760091	−	0.649816i	$-0.225154\pi$
$444$	0.470471	+	0.138143i	0.0223276	+	0.00655596i
$445$	−12.8009	+	8.22664i	−0.606821	+	0.389980i
$446$	2.08243	+	4.55988i	0.0986057	+	0.215916i
$447$	−1.58536	+	0.465502i	−0.0749847	+	0.0220175i
$448$	0.549408	−	0.634051i	0.0259571	−	0.0299561i
$449$	12.6604	−	14.6108i	0.597479	−	0.689527i	−0.373790	−	0.927513i	$-0.621942\pi$
$449$	12.6604	−	14.6108i	0.597479	−	0.689527i	0.971269	+	0.237986i	$0.0764873\pi$
$450$	1.92109	−	0.564082i	0.0905610	−	0.0265911i
$451$	14.5147	+	31.7828i	0.683471	+	1.49659i
$452$	22.8378	−	14.6770i	1.07420	−	0.690346i
$453$	1.50732	+	0.442590i	0.0708203	+	0.0207947i
$454$	0.270742	+	1.88305i	0.0127066	+	0.0883760i
$455$	−2.94902	+	6.45746i	−0.138252	+	0.302731i
$456$	0.159008	−	1.10593i	0.00744624	−	0.0517898i
$457$	18.1628	+	11.6725i	0.849621	+	0.546018i	0.891456	−	0.453106i	$-0.149684\pi$
$457$	18.1628	+	11.6725i	0.849621	+	0.546018i	−0.0418357	+	0.999125i	$0.513321\pi$
$458$	−6.42221	−	7.41162i	−0.300090	−	0.346322i
$459$	−1.82866			−0.0853545
$460$	3.54377	−	6.54394i	0.165229	−	0.305113i
$461$	2.68512			0.125059			0.0625293	−	0.998043i	$-0.480083\pi$
$461$	2.68512			0.125059			0.0625293	+	0.998043i	$0.480083\pi$
$462$	0.238893	+	0.275697i	0.0111143	+	0.0128266i
$463$	2.76178	+	1.77489i	0.128351	+	0.0824860i	0.603241	−	0.797559i	$-0.293876\pi$
$463$	2.76178	+	1.77489i	0.128351	+	0.0824860i	−0.474890	+	0.880045i	$0.657512\pi$
$464$	−1.87783	+	13.0606i	−0.0871759	+	0.606322i
$465$	0.163304	−	0.357586i	0.00757303	−	0.0165826i
$466$	1.48130	+	10.3026i	0.0686197	+	0.477261i
$467$	−17.0111	−	4.99491i	−0.787180	−	0.231137i	−0.136652	−	0.990619i	$-0.543634\pi$
$467$	−17.0111	−	4.99491i	−0.787180	−	0.231137i	−0.650528	+	0.759482i	$0.725452\pi$
$468$	27.7129	−	17.8100i	1.28103	−	0.823266i
$469$	3.81141	+	8.34581i	0.175994	+	0.385374i
$470$	4.54001	−	1.33307i	0.209415	−	0.0614898i
$471$	0.185251	−	0.213791i	0.00853592	−	0.00985098i
$472$	9.09750	−	10.4991i	0.418747	−	0.483259i
$473$	−8.91278	+	2.61703i	−0.409810	+	0.120331i
$474$	0.140474	+	0.307595i	0.00645219	+	0.0141283i
$475$	4.04926	−	2.60230i	0.185793	−	0.119402i
$476$	−4.65606	−	1.36714i	−0.213410	−	0.0626629i
$477$	2.74399	+	19.0849i	0.125639	+	0.873836i
$478$	−2.91874	+	6.39114i	−0.133500	+	0.292324i
$479$	3.14733	−	21.8901i	0.143805	−	1.00019i	−0.782295	−	0.622908i	$-0.785951\pi$
$479$	3.14733	−	21.8901i	0.143805	−	1.00019i	0.926100	−	0.377278i	$-0.123140\pi$
$480$	0.473646	+	0.304394i	0.0216189	+	0.0138936i
$481$	−15.0489	−	17.3673i	−0.686170	−	0.791883i
$482$	−12.1966			−0.555542
$483$	−0.329873	+	0.332176i	−0.0150097	+	0.0151145i
$484$	−31.2776			−1.42171
$485$	4.54565	+	5.24596i	0.206407	+	0.238207i
$486$	1.47818	+	0.949971i	0.0670517	+	0.0430915i
$487$	2.20819	−	15.3583i	0.100063	−	0.695952i	−0.876607	−	0.481207i	$-0.840199\pi$
$487$	2.20819	−	15.3583i	0.100063	−	0.695952i	0.976670	−	0.214746i	$-0.0688922\pi$
$488$	−3.08059	+	6.74556i	−0.139452	+	0.305357i
$489$	0.0540479	+	0.375911i	0.00244413	+	0.0169993i
$490$	−0.642403	−	0.188627i	−0.0290208	−	0.00852128i
$491$	2.81393	−	1.80840i	0.126991	−	0.0816120i	−0.475603	−	0.879660i	$-0.657770\pi$
$491$	2.81393	−	1.80840i	0.126991	−	0.0816120i	0.602594	+	0.798048i	$0.294134\pi$
$492$	−0.393881	−	0.862480i	−0.0177575	−	0.0388836i
$493$	−26.1960	+	7.69185i	−1.17981	+	0.346423i
$494$	−14.9817	+	17.2898i	−0.674057	+	0.777904i
$495$	10.9311	−	12.6151i	0.491315	−	0.567008i
$496$	−5.84000	+	1.71478i	−0.262224	+	0.0769958i
$497$	−5.14544	−	11.2669i	−0.230804	−	0.505391i
$498$	−0.00160185	+	0.00102944i	−7.17805e−5	+	4.61305e-5i
$499$	30.3312	+	8.90604i	1.35781	+	0.398689i	0.877991	−	0.478678i	$-0.158884\pi$
$499$	30.3312	+	8.90604i	1.35781	+	0.398689i	0.479820	+	0.877367i	$0.340702\pi$
$500$	0.220835	+	1.53594i	0.00987606	+	0.0686895i
$501$	−0.105186	+	0.230325i	−0.00469935	+	0.0102901i
$502$	−1.83050	+	12.7314i	−0.0816991	+	0.568230i
$503$	−22.7401	−	14.6142i	−1.01393	−	0.651614i	−0.0755240	−	0.997144i	$-0.524063\pi$
$503$	−22.7401	−	14.6142i	−1.01393	−	0.651614i	−0.938408	+	0.345530i	$0.887699\pi$
$504$	4.65688	+	5.37433i	0.207434	+	0.239392i
$505$	−0.744104			−0.0331122
$506$	1.34077	+	17.8725i	0.0596045	+	0.794530i
$507$	3.65034			0.162117
$508$	−10.4602	−	12.0717i	−0.464095	−	0.535594i
$509$	2.80252	+	1.80107i	0.124219	+	0.0798310i	0.601275	−	0.799042i	$-0.294660\pi$
$509$	2.80252	+	1.80107i	0.124219	+	0.0798310i	−0.477056	+	0.878873i	$0.658296\pi$
$510$	−0.0290862	+	0.202299i	−0.00128796	+	0.00895796i
$511$	5.71293	−	12.5096i	0.252725	−	0.553391i
$512$	−2.26356	−	15.7434i	−0.100036	−	0.695767i
$513$	2.70063	+	0.792977i	0.119236	+	0.0350108i
$514$	8.89555	−	5.71682i	0.392366	−	0.252158i
$515$	0.624419	+	1.36729i	0.0275152	+	0.0602498i
$516$	0.241864	−	0.0710175i	0.0106474	−	0.00312637i
$517$	25.8329	−	29.8127i	1.13613	−	1.31116i
$518$	1.41930	−	1.63796i	0.0623604	−	0.0719678i
$519$	−1.76669	+	0.518748i	−0.0775493	+	0.0227705i
$520$	−7.01270	−	15.3557i	−0.307527	−	0.673391i
$521$	14.5891	−	9.37584i	0.639160	−	0.410763i	−0.180531	−	0.983569i	$-0.557782\pi$
$521$	14.5891	−	9.37584i	0.639160	−	0.410763i	0.819691	+	0.572806i	$0.194145\pi$
$522$	16.7719	+	4.92468i	0.734087	+	0.215547i
$523$	2.16596	+	15.0645i	0.0947106	+	0.658727i	0.980772	+	0.195158i	$0.0625221\pi$
$523$	2.16596	+	15.0645i	0.0947106	+	0.658727i	−0.886061	+	0.463568i	$0.846569\pi$
$524$	−14.4916	+	31.7322i	−0.633070	+	1.38623i
$525$	0.0138920	−	0.0966207i	0.000606295	−	0.00421687i
$526$	−8.15430	−	5.24045i	−0.355545	−	0.228495i
$527$	−8.24723	−	9.51781i	−0.359255	−	0.414602i
$528$	0.823489			0.0358378
$529$	−22.7426	+	3.43154i	−0.988807	+	0.149198i
$530$	4.31676			0.187508
$531$	11.4408	+	13.2033i	0.496487	+	0.572977i
$532$	6.28340	+	4.03810i	0.272420	+	0.175074i
$533$	−6.32409	+	43.9850i	−0.273927	+	1.90520i
$534$	−0.413119	+	0.904605i	−0.0178774	+	0.0391461i
$535$	0.211403	+	1.47034i	0.00913974	+	0.0635683i
$536$	−20.9340	−	6.14677i	−0.904210	−	0.265500i
$537$	0.185857	−	0.119443i	0.00802032	−	0.00515435i
$538$	−4.75463	−	10.4112i	−0.204987	−	0.448858i
$539$	−5.35570	+	1.57258i	−0.230686	+	0.0677356i
$540$	−0.594212	+	0.685758i	−0.0255708	+	0.0295103i
$541$	−9.26631	+	10.6939i	−0.398390	+	0.459766i	−0.919133	−	0.393947i	$-0.871109\pi$
$541$	−9.26631	+	10.6939i	−0.398390	+	0.459766i	0.520743	+	0.853713i	$0.325655\pi$
$542$	1.38923	−	0.407916i	0.0596727	−	0.0175215i
$543$	0.230811	+	0.505407i	0.00990507	+	0.0216891i
$544$	15.1739	−	9.75170i	0.650577	−	0.418101i
$545$	−6.44804	−	1.89331i	−0.276204	−	0.0811007i
$546$	0.0660276	+	0.459232i	0.00282572	+	0.0196533i
$547$	4.65648	−	10.1963i	0.199097	−	0.435961i	−0.783580	−	0.621291i	$-0.786608\pi$
$547$	4.65648	−	10.1963i	0.199097	−	0.435961i	0.982676	+	0.185331i	$0.0593356\pi$
$548$	0.332873	−	2.31518i	0.0142196	−	0.0988997i
$549$	−7.84534	−	5.04190i	−0.334831	−	0.215183i
$550$	−2.44731	−	2.82435i	−0.104354	−	0.120431i
$551$	42.0228			1.79023
$552$	−0.0832788	−	1.11011i	−0.00354458	−	0.0472494i
$553$	−5.17410			−0.220025
$554$	11.5271	+	13.3030i	0.489740	+	0.565190i
$555$	0.265827	+	0.170837i	0.0112837	+	0.00725162i
$556$	−2.15750	+	15.0057i	−0.0914984	+	0.636385i
$557$	1.62706	−	3.56276i	0.0689407	−	0.150959i	−0.872025	−	0.489462i	$-0.837193\pi$
$557$	1.62706	−	3.56276i	0.0689407	−	0.150959i	0.940965	+	0.338503i	$0.109920\pi$
$558$	1.14751	+	7.98111i	0.0485780	+	0.337867i
$559$	−11.3353	−	3.32836i	−0.479434	−	0.140775i
$560$	−1.27144	+	0.817107i	−0.0537283	+	0.0345291i
$561$	0.707829	+	1.54993i	0.0298846	+	0.0654380i
$562$	−7.97902	+	2.34285i	−0.336574	+	0.0988272i
$563$	−18.6504	+	21.5237i	−0.786022	+	0.907118i	−0.997529	−	0.0702587i	$-0.977618\pi$
$563$	−18.6504	+	21.5237i	−0.786022	+	0.907118i	0.211507	+	0.977377i	$0.432163\pi$
$564$	−0.701019	+	0.809019i	−0.0295182	+	0.0340659i
$565$	16.7861	−	4.92885i	0.706198	−	0.207358i
$566$	1.52998	+	3.35019i	0.0643098	+	0.140819i
$567$	−7.49921	+	4.81945i	−0.314937	+	0.202398i
$568$	28.2611	+	8.29820i	1.18581	+	0.348185i
$569$	2.07063	+	14.4015i	0.0868053	+	0.603744i	0.986069	+	0.166337i	$0.0531940\pi$
$569$	2.07063	+	14.4015i	0.0868053	+	0.603744i	−0.899264	+	0.437407i	$0.855897\pi$
$570$	0.130680	−	0.286150i	0.00547360	−	0.0119855i
$571$	3.57893	−	24.8920i	0.149774	−	1.04170i	−0.766815	−	0.641868i	$-0.778160\pi$
$571$	3.57893	−	24.8920i	0.149774	−	1.04170i	0.916589	−	0.399831i	$-0.130931\pi$
$572$	−51.7268	−	33.2428i	−2.16281	−	1.38995i
$573$	0.984123	+	1.13574i	0.0411123	+	0.0474462i
$574$	−4.19100			−0.174929
$575$	3.37935	−	3.40294i	0.140929	−	0.141912i
$576$	−2.50891			−0.104538
$577$	−10.2381	−	11.8154i	−0.426218	−	0.491882i	0.501503	−	0.865156i	$-0.332781\pi$
$577$	−10.2381	−	11.8154i	−0.426218	−	0.491882i	−0.927721	+	0.373274i	$0.878235\pi$
$578$	−4.06687	−	2.61362i	−0.169159	−	0.108712i
$579$	0.159925	−	1.11230i	0.00664625	−	0.0462257i
$580$	−5.62776	+	12.3231i	−0.233680	+	0.511688i
$581$	−0.00414634	−	0.0288384i	−0.000172019	−	0.00119642i
$582$	0.435279	+	0.127809i	0.0180429	+	0.00529787i
$583$	30.2757	−	19.4570i	1.25389	−	0.805826i
$584$	13.5852	+	29.7474i	0.562159	+	1.23096i
$585$	20.3694	−	5.98099i	0.842170	−	0.247283i
$586$	−13.5349	+	15.6201i	−0.559120	+	0.645259i
$587$	9.72858	−	11.2274i	0.401541	−	0.463404i	−0.518584	−	0.855026i	$-0.673541\pi$
$587$	9.72858	−	11.2274i	0.401541	−	0.463404i	0.920126	+	0.391623i	$0.128086\pi$
$588$	0.145336	−	0.0426745i	0.00599356	−	0.00175987i
$589$	8.05253	+	17.6326i	0.331799	+	0.726538i
$590$	3.29048	−	2.11466i	0.135467	−	0.0870593i
$591$	1.15881	+	0.340257i	0.0476670	+	0.0139963i
$592$	−0.696273	−	4.84269i	−0.0286166	−	0.199033i
$593$	5.07539	−	11.1136i	0.208421	−	0.456379i	−0.776335	−	0.630321i	$-0.782923\pi$
$593$	5.07539	−	11.1136i	0.208421	−	0.456379i	0.984756	+	0.173942i	$0.0556505\pi$
$594$	0.311003	−	2.16307i	0.0127606	−	0.0887520i
$595$	−2.63078	−	1.69070i	−0.107852	−	0.0693120i
$596$	17.2004	+	19.8503i	0.704556	+	0.813101i
$597$	−2.56285			−0.104891
$598$	−10.8545	+	20.0439i	−0.443873	+	0.819658i
$599$	−22.0349			−0.900321			−0.450161	−	0.892948i	$-0.648633\pi$
$599$	−22.0349			−0.900321			−0.450161	+	0.892948i	$0.648633\pi$
$600$	0.152009	+	0.175428i	0.00620574	+	0.00716180i
$601$	−4.92990	−	3.16826i	−0.201095	−	0.129236i	0.436218	−	0.899841i	$-0.356318\pi$
$601$	−4.92990	−	3.16826i	−0.201095	−	0.129236i	−0.637313	+	0.770605i	$0.719954\pi$
$602$	0.158567	−	1.10286i	0.00646271	−	0.0449491i
$603$	11.3979	−	24.9579i	0.464158	−	1.01637i
$604$	−3.55402	−	24.7188i	−0.144611	−	1.00579i
$605$	−19.3400	−	5.67875i	−0.786284	−	0.230874i
$606$	−0.0409110	+	0.0262919i	−0.00166190	+	0.00106804i
$607$	−13.8006	−	30.2192i	−0.560150	−	1.22656i	−0.951878	−	0.306477i	$-0.900850\pi$
$607$	−13.8006	−	30.2192i	−0.560150	−	1.22656i	0.391728	−	0.920081i	$-0.371878\pi$
$608$	−26.6382	+	7.82167i	−1.08032	+	0.317211i
$609$	0.558081	−	0.644060i	0.0226146	−	0.0260986i
$610$	−1.36729	+	1.57794i	−0.0553599	+	0.0638887i
$611$	48.1379	−	14.1346i	1.94745	−	0.571823i
$612$	6.02835	+	13.2002i	0.243682	+	0.533588i
$613$	26.7086	−	17.1646i	1.07875	−	0.693271i	0.124482	−	0.992222i	$-0.460273\pi$
$613$	26.7086	−	17.1646i	1.07875	−	0.693271i	0.954268	+	0.298951i	$0.0966368\pi$
$614$	−12.1062	−	3.55470i	−0.488566	−	0.143456i
$615$	−0.0869591	−	0.604814i	−0.00350653	−	0.0243885i
$616$	5.51396	−	12.0739i	0.222164	−	0.486471i
$617$	1.06837	−	7.43066i	0.0430108	−	0.299147i	−0.956950	−	0.290254i	$-0.906260\pi$
$617$	1.06837	−	7.43066i	0.0430108	−	0.299147i	0.999960	−	0.00889289i	$-0.00283073\pi$
$618$	0.0826418	+	0.0531107i	0.00332434	+	0.00213642i
$619$	19.0208	+	21.9512i	0.764512	+	0.882293i	0.995890	−	0.0905704i	$-0.0288690\pi$
$619$	19.0208	+	21.9512i	0.764512	+	0.882293i	−0.231379	+	0.972864i	$0.574324\pi$
$620$	−6.24913			−0.250971
$621$	2.79792	+	0.190331i	0.112277	+	0.00763773i
$622$	−1.44247			−0.0578378
$623$	−9.96467	−	11.4998i	−0.399226	−	0.460731i
$624$	0.881062	+	0.566224i	0.0352707	+	0.0226671i
$625$	−0.142315	+	0.989821i	−0.00569259	+	0.0395929i
$626$	5.07495	−	11.1126i	0.202836	−	0.444148i
$627$	−0.373239	−	2.59594i	−0.0149057	−	0.103672i
$628$	−4.31478	−	1.26693i	−0.172179	−	0.0505562i
$629$	8.51617	−	5.47301i	0.339562	−	0.218223i
$630$	0.831740	+	1.82126i	0.0331373	+	0.0725606i
$631$	−10.7242	+	3.14892i	−0.426926	+	0.125357i	−0.488135	−	0.872768i	$-0.662323\pi$
$631$	−10.7242	+	3.14892i	−0.426926	+	0.125357i	0.0612091	+	0.998125i	$0.480504\pi$
$632$	8.05732	−	9.29864i	0.320503	−	0.369880i
$633$	0.463015	−	0.534348i	0.0184032	−	0.0212384i
$634$	19.1321	−	5.61768i	0.759831	−	0.223107i
$635$	−4.27615	−	9.36347i	−0.169694	−	0.371578i
$636$	−0.821582	+	0.527999i	−0.0325779	+	0.0209365i
$637$	−6.81143	−	2.00001i	−0.269878	−	0.0792435i
$638$	−4.64329	−	32.2948i	−0.183830	−	1.27856i
$639$	−15.3873	+	33.6935i	−0.608712	+	1.33289i
$640$	1.56176	−	10.8623i	0.0617339	−	0.429369i
$641$	−4.78981	−	3.07822i	−0.189186	−	0.121583i	0.442619	−	0.896710i	$-0.354049\pi$
$641$	−4.78981	−	3.07822i	−0.189186	−	0.121583i	−0.631805	+	0.775127i	$0.717686\pi$
$642$	0.0635754	+	0.0733699i	0.00250912	+	0.00289568i
$643$	−29.9056			−1.17936			−0.589681	−	0.807636i	$-0.700747\pi$
$643$	−29.9056			−1.17936			−0.589681	+	0.807636i	$0.700747\pi$
$644$	6.98167	+	2.57640i	0.275116	+	0.101524i
$645$	0.162446			0.00639632
$646$	−6.59967	−	7.61643i	−0.259661	−	0.299664i
$647$	3.66099	+	2.35277i	0.143928	+	0.0924971i	0.610623	−	0.791921i	$-0.290919\pi$
$647$	3.66099	+	2.35277i	0.143928	+	0.0924971i	−0.466695	+	0.884418i	$0.654555\pi$
$648$	3.01680	−	20.9823i	0.118511	−	0.824262i
$649$	13.5464	−	29.6624i	0.531742	−	1.16435i
$650$	−0.676413	−	4.70456i	−0.0265311	−	0.184528i
$651$	0.377186	+	0.110752i	0.0147831	+	0.00434071i
$652$	5.07880	−	3.26394i	0.198901	−	0.127826i
$653$	−0.617879	−	1.35297i	−0.0241795	−	0.0529457i	0.897157	−	0.441712i	$-0.145629\pi$
$653$	−0.617879	−	1.35297i	−0.0241795	−	0.0529457i	−0.921336	+	0.388766i	$0.872901\pi$
$654$	−0.421412	+	0.123738i	−0.0164785	+	0.00483853i
$655$	−14.7220	+	16.9900i	−0.575234	+	0.663856i
$656$	−6.19542	+	7.14990i	−0.241891	+	0.279157i
$657$	−39.4601	+	11.5865i	−1.53948	+	0.452033i
$658$	1.96561	+	4.30408i	0.0766274	+	0.167791i
$659$	−15.8812	+	10.2062i	−0.618643	+	0.397578i	−0.812089	−	0.583533i	$-0.801670\pi$
$659$	−15.8812	+	10.2062i	−0.618643	+	0.397578i	0.193446	+	0.981111i	$0.438034\pi$
$660$	0.811238	+	0.238201i	0.0315774	+	0.00927195i
$661$	−6.72942	−	46.8042i	−0.261744	−	1.82047i	−0.519740	−	0.854324i	$-0.673971\pi$
$661$	−6.72942	−	46.8042i	−0.261744	−	1.82047i	0.257996	−	0.966146i	$-0.416938\pi$
$662$	8.30718	−	18.1902i	0.322868	−	0.706982i
$663$	−0.308403	+	2.14499i	−0.0119774	+	0.0833044i
$664$	0.0582839	+	0.0374568i	0.00226185	+	0.00145361i
$665$	3.15209	+	3.63770i	0.122233	+	0.141064i
$666$	−6.48134			−0.251147
$667$	40.8816	−	9.04229i	1.58294	−	0.350119i
$668$	4.02513			0.155737
$669$	−0.478612	−	0.552348i	−0.0185042	−	0.0213550i
$670$	−5.16768	−	3.32107i	−0.199645	−	0.128304i
$671$	−2.47725	+	17.2297i	−0.0956332	+	0.665144i
$672$	−0.233888	+	0.512144i	−0.00902244	+	0.0197564i
$673$	2.39301	+	16.6438i	0.0922439	+	0.641570i	0.982521	+	0.186151i	$0.0596014\pi$
$673$	2.39301	+	16.6438i	0.0922439	+	0.641570i	−0.890277	+	0.455419i	$0.849489\pi$
$674$	6.70816	+	1.96969i	0.258389	+	0.0758697i
$675$	−0.491928	+	0.316143i	−0.0189343	+	0.0121683i
$676$	−24.1058	−	52.7842i	−0.927145	−	2.03016i
$677$	25.9470	−	7.61872i	0.997223	−	0.292811i	0.257907	−	0.966170i	$-0.416967\pi$
$677$	25.9470	−	7.61872i	0.997223	−	0.292811i	0.739316	+	0.673359i	$0.235149\pi$
$678$	0.748750	−	0.864104i	0.0287556	−	0.0331857i
$679$	−4.54565	+	5.24596i	−0.174446	+	0.201321i
$680$	7.13521	−	2.09509i	0.273623	−	0.0803429i
$681$	−0.115222	−	0.252301i	−0.00441532	−	0.00966819i
$682$	12.6610	−	8.13673i	0.484815	−	0.311572i
$683$	−24.9044	−	7.31260i	−0.952941	−	0.279809i	−0.231930	−	0.972732i	$-0.574504\pi$
$683$	−24.9044	−	7.31260i	−0.952941	−	0.279809i	−0.721011	+	0.692924i	$0.756322\pi$
$684$	−3.17876	−	22.1088i	−0.121543	−	0.845349i
$685$	0.626170	−	1.37112i	0.0239247	−	0.0523878i
$686$	0.0952831	−	0.662709i	0.00363793	−	0.0253023i
$687$	1.20285	+	0.773022i	0.0458914	+	0.0294926i
$688$	−1.64708	−	1.90084i	−0.0627945	−	0.0724687i
$689$	45.7708			1.74373
$690$	0.0655590	−	0.306499i	0.00249579	−	0.0116682i
$691$	2.96356			0.112739			0.0563696	−	0.998410i	$-0.482047\pi$
$691$	2.96356			0.112739			0.0563696	+	0.998410i	$0.482047\pi$
$692$	19.1679	+	22.1209i	0.728653	+	0.840910i
$693$	14.0424	+	9.02449i	0.533426	+	0.342812i
$694$	3.11719	−	21.6805i	0.118327	−	0.822981i
$695$	−4.05849	+	8.88685i	−0.153947	+	0.337098i
$696$	0.288407	+	2.00591i	0.0109320	+	0.0760340i
$697$	−18.7824	−	5.51502i	−0.711435	−	0.208896i
$698$	1.06002	−	0.681231i	0.0401222	−	0.0257850i
$699$	−0.630408	−	1.38040i	−0.0238442	−	0.0522115i
$700$	−1.48888	+	0.437175i	−0.0562744	+	0.0165237i
$701$	−5.18815	+	5.98744i	−0.195954	+	0.226143i	−0.845220	−	0.534419i	$-0.820531\pi$
$701$	−5.18815	+	5.98744i	−0.195954	+	0.226143i	0.649266	+	0.760561i	$0.275076\pi$
$702$	1.82006	−	2.10046i	0.0686937	−	0.0792767i
$703$	−14.9503	+	4.38981i	−0.563862	+	0.165565i
$704$	1.94537	+	4.25977i	0.0733190	+	0.160546i
$705$	−0.580349	+	0.372968i	−0.0218572	+	0.0140468i
$706$	2.33032	+	0.684244i	0.0877028	+	0.0257519i
$707$	−0.105897	−	0.736530i	−0.00398267	−	0.0277001i
$708$	−0.367604	+	0.804941i	−0.0138154	+	0.0302515i
$709$	−1.62289	+	11.2875i	−0.0609490	+	0.423910i	0.936387	+	0.350969i	$0.114148\pi$
$709$	−1.62289	+	11.2875i	−0.0609490	+	0.423910i	−0.997336	+	0.0729410i	$0.976762\pi$
$710$	6.97642	+	4.48348i	0.261821	+	0.168262i
$711$	10.1327	+	11.6937i	0.380005	+	0.438549i
$712$	36.1843			1.35607
$713$	11.6280	+	15.4210i	0.435471	+	0.577522i
$714$	−0.204380			−0.00764871
$715$	−25.9489	−	29.9467i	−0.970435	−	1.11994i
$716$	−2.95450	−	1.89874i	−0.110415	−	0.0709593i
$717$	0.145784	−	1.01395i	0.00544441	−	0.0378667i
$718$	2.88574	−	6.31890i	0.107695	−	0.235819i
$719$	1.12983	+	7.85814i	0.0421356	+	0.293059i	0.999983	+	0.00578283i	$0.00184074\pi$
$719$	1.12983	+	7.85814i	0.0421356	+	0.293059i	−0.957848	+	0.287276i	$0.907250\pi$
$720$	4.33662	+	1.27335i	0.161616	+	0.0474549i
$721$	−1.26450	+	0.812648i	−0.0470926	+	0.0302646i
$722$	1.15940	+	2.53872i	0.0431482	+	0.0944814i
$723$	1.70620	−	0.500985i	0.0634542	−	0.0186318i
$724$	5.78401	−	6.67511i	0.214961	−	0.248078i
$725$	−5.71721	+	6.59801i	−0.212332	+	0.245044i
$726$	−1.26397	+	0.371135i	−0.0469103	+	0.0137741i
$727$	14.6808	+	32.1465i	0.544481	+	1.19225i	0.959312	+	0.282349i	$0.0911135\pi$
$727$	14.6808	+	32.1465i	0.544481	+	1.19225i	−0.414831	+	0.909899i	$0.636159\pi$
$728$	14.2014	−	9.12666i	0.526337	−	0.338256i
$729$	25.4139	+	7.46220i	0.941256	+	0.276378i
$730$	1.31037	+	9.11380i	0.0484988	+	0.337317i
$731$	2.16191	−	4.73392i	0.0799611	−	0.175090i
$732$	0.0672245	−	0.467557i	0.00248469	−	0.0172814i
$733$	−18.2435	−	11.7244i	−0.673840	−	0.433051i	0.158468	−	0.987364i	$-0.449345\pi$
$733$	−18.2435	−	11.7244i	−0.673840	−	0.433051i	−0.832308	+	0.554313i	$0.812981\pi$
$734$	7.97020	+	9.19810i	0.294186	+	0.339508i
$735$	0.0976143			0.00360056
$736$	−24.2317	+	13.3412i	−0.893194	+	0.491762i
$737$	−51.2127			−1.88644
$738$	8.20741	+	9.47185i	0.302119	+	0.348664i
$739$	36.6150	+	23.5310i	1.34690	+	0.865602i	0.997451	−	0.0713522i	$-0.0227314\pi$
$739$	36.6150	+	23.5310i	1.34690	+	0.865602i	0.349452	+	0.936954i	$0.386368\pi$
$740$	0.714871	−	4.97204i	0.0262792	−	0.182776i
$741$	1.38561	−	3.03406i	0.0509017	−	0.111459i
$742$	0.614340	+	4.27283i	0.0225531	+	0.156860i
$743$	43.9063	+	12.8921i	1.61077	+	0.472964i	0.958516	−	0.285039i	$-0.0920066\pi$
$743$	43.9063	+	12.8921i	1.61077	+	0.472964i	0.652251	+	0.758003i	$0.273825\pi$
$744$	−0.786408	+	0.505394i	−0.0288311	+	0.0185286i
$745$	7.03159	+	15.3970i	0.257618	+	0.564104i
$746$	−3.37045	+	0.989655i	−0.123401	+	0.0362338i
$747$	−0.0570563	+	0.0658465i	−0.00208758	+	0.00240920i
$748$	17.7378	−	20.4705i	0.648559	−	0.748477i
$749$	−1.42529	+	0.418502i	−0.0520789	+	0.0152917i
$750$	0.0271495	+	0.0594491i	0.000991359	+	0.00217077i
$751$	23.7092	−	15.2369i	0.865159	−	0.556004i	−0.0311092	−	0.999516i	$-0.509904\pi$
$751$	23.7092	−	15.2369i	0.865159	−	0.556004i	0.896269	+	0.443512i	$0.146268\pi$
$752$	10.2485	+	3.00924i	0.373725	+	0.109736i
$753$	−0.266880	−	1.85619i	−0.00972566	−	0.0676435i
$754$	17.2377	−	37.7453i	0.627760	−	1.37460i
$755$	2.29035	−	15.9297i	0.0833543	−	0.579742i
$756$	−0.763343	−	0.490571i	−0.0277625	−	0.0178419i
$757$	−21.2610	−	24.5365i	−0.772745	−	0.891795i	0.223818	−	0.974631i	$-0.428148\pi$
$757$	−21.2610	−	24.5365i	−0.772745	−	0.891795i	−0.996563	+	0.0828359i	$0.973602\pi$
$758$	11.7338			0.426191
$759$	−0.921687	−	2.44513i	−0.0334551	−	0.0887525i
$760$	−11.4461			−0.415192
$761$	0.584655	+	0.674728i	0.0211937	+	0.0244589i	0.766247	−	0.642546i	$-0.222122\pi$
$761$	0.584655	+	0.674728i	0.0211937	+	0.0244589i	−0.745054	+	0.667004i	$0.767576\pi$
$762$	−0.565949	−	0.363713i	−0.0205022	−	0.0131759i
$763$	0.956392	−	6.65185i	0.0346237	−	0.240813i
$764$	9.92402	−	21.7306i	0.359039	−	0.786185i
$765$	1.33091	+	9.25667i	0.0481191	+	0.334676i
$766$	18.5922	+	5.45917i	0.671765	+	0.197248i
$767$	34.8891	−	22.4219i	1.25977	−	0.809606i
$768$	−0.365979	−	0.801382i	−0.0132061	−	0.0289174i
$769$	−50.3021	+	14.7700i	−1.81394	+	0.532621i	−0.998905	−	0.0467905i	$-0.985101\pi$
$769$	−50.3021	+	14.7700i	−1.81394	+	0.532621i	−0.815035	+	0.579411i	$0.803282\pi$
$770$	2.44731	−	2.82435i	0.0881950	−	0.101782i
$771$	−1.00958	+	1.16512i	−0.0363593	+	0.0419608i
$772$	−17.1401	+	5.03278i	−0.616884	+	0.181134i
$773$	−10.6751	−	23.3753i	−0.383958	−	0.840750i	−0.998648	−	0.0519818i	$-0.983446\pi$
$773$	−10.6751	−	23.3753i	−0.383958	−	0.840750i	0.614690	−	0.788769i	$-0.289281\pi$
$774$	−2.80304	+	1.80140i	−0.100753	+	0.0647501i
$775$	−3.86405	−	1.13459i	−0.138801	−	0.0407556i
$776$	−2.34911	−	16.3384i	−0.0843282	−	0.586515i
$777$	−0.131267	+	0.287434i	−0.00470917	+	0.0103116i
$778$	−2.77892	+	19.3278i	−0.0996290	+	0.692935i
$779$	25.3471	+	16.2896i	0.908153	+	0.583635i
$780$	0.704169	+	0.812654i	0.0252133	+	0.0290977i
$781$	69.1376			2.47394
$782$	−8.05932	−	5.98950i	−0.288201	−	0.214184i
$783$	−5.10516			−0.182444
$784$	−0.989736	−	1.14222i	−0.0353477	−	0.0407934i
$785$	−2.43795	−	1.56678i	−0.0870143	−	0.0559207i
$786$	−0.209096	+	1.45430i	−0.00745821	+	0.0518730i
$787$	10.8336	−	23.7224i	0.386178	−	0.845611i	−0.612309	−	0.790619i	$-0.709759\pi$
$787$	10.8336	−	23.7224i	0.386178	−	0.845611i	0.998487	−	0.0549928i	$-0.0175136\pi$
$788$	−2.73228	−	19.0034i	−0.0973335	−	0.676969i
$789$	1.35597	+	0.398148i	0.0482737	+	0.0141744i
$790$	2.91426	−	1.87288i	0.103685	−	0.0666340i
$791$	7.26760	+	15.9138i	0.258406	+	0.565830i
$792$	−38.0858	+	11.1830i	−1.35332	+	0.397370i
$793$	−14.4974	+	16.7309i	−0.514818	+	0.594132i
$794$	4.73055	−	5.45934i	0.167881	−	0.193745i
$795$	−0.603876	+	0.177314i	−0.0214173	+	0.00628868i
$796$	16.9243	+	37.0591i	0.599866	+	1.31352i
$797$	21.3925	−	13.7481i	0.757762	−	0.486984i	−0.103824	−	0.994596i	$-0.533108\pi$
$797$	21.3925	−	13.7481i	0.757762	−	0.486984i	0.861586	+	0.507612i	$0.169472\pi$
$798$	0.301835	+	0.0886269i	0.0106849	+	0.00313736i
$799$	3.14527	+	21.8758i	0.111272	+	0.773911i
$800$	2.39605	−	5.24661i	0.0847131	−	0.185496i
$801$	−6.47595	+	45.0412i	−0.228817	+	1.59145i
$802$	0.388503	+	0.249676i	0.0137185	+	0.00881636i
$803$	50.2690	+	58.0135i	1.77395	+	2.04725i
$804$	1.38974			0.0490125
$805$	3.84924	+	2.86066i	0.135668	+	0.100825i
$806$	19.1409			0.674210
$807$	1.09278	+	1.26113i	0.0384675	+	0.0443939i
$808$	1.48856	+	0.956642i	0.0523675	+	0.0336545i
$809$	−3.45796	+	24.0507i	−0.121575	+	0.845576i	0.834196	+	0.551467i	$0.185932\pi$
$809$	−3.45796	+	24.0507i	−0.121575	+	0.845576i	−0.955772	+	0.294109i	$0.904977\pi$
$810$	2.47934	−	5.42901i	0.0871153	−	0.190756i
$811$	−1.04930	−	7.29806i	−0.0368460	−	0.256270i	0.963070	−	0.269252i	$-0.0867765\pi$
$811$	−1.04930	−	7.29806i	−0.0368460	−	0.256270i	−0.999916	+	0.0129826i	$0.995867\pi$
$812$	−12.9986	−	3.81672i	−0.456160	−	0.133941i
$813$	−0.177586	+	0.114127i	−0.00622820	+	0.00400262i
$814$	5.02553	+	11.0044i	0.176145	+	0.385703i
$815$	3.73299	−	1.09611i	0.130761	−	0.0383949i
$816$	−0.302128	+	0.348674i	−0.0105766	+	0.0122060i
$817$	−5.24560	+	6.05374i	−0.183520	+	0.211794i
$818$	13.1558	−	3.86289i	0.459982	−	0.135063i
$819$	8.81897	+	19.3109i	0.308160	+	0.674776i
$820$	−8.17141	+	5.25145i	−0.285358	+	0.183388i
$821$	26.7660	+	7.85920i	0.934139	+	0.274288i	0.713169	−	0.700992i	$-0.247259\pi$
$821$	26.7660	+	7.85920i	0.934139	+	0.274288i	0.220970	+	0.975280i	$0.429078\pi$
$822$	−0.0140197	−	0.0975093i	−0.000488994	−	0.00340103i
$823$	−21.4680	+	47.0083i	−0.748326	+	1.63861i	0.0210251	+	0.999779i	$0.493307\pi$
$823$	−21.4680	+	47.0083i	−0.748326	+	1.63861i	−0.769351	+	0.638826i	$0.779420\pi$
$824$	0.508687	−	3.53800i	0.0177210	−	0.123252i
$825$	0.458368	+	0.294575i	0.0159583	+	0.0102558i
$826$	2.56142	+	2.95604i	0.0891233	+	0.102854i
$827$	17.6840			0.614933			0.307466	−	0.951559i	$-0.400519\pi$
$827$	17.6840			0.614933			0.307466	+	0.951559i	$0.400519\pi$
$828$	−7.84971	−	20.8244i	−0.272796	−	0.723697i
$829$	−39.7586			−1.38087			−0.690436	−	0.723393i	$-0.742581\pi$
$829$	−39.7586			−1.38087			−0.690436	+	0.723393i	$0.742581\pi$
$830$	0.0127741	+	0.0147421i	0.000443395	+	0.000511705i
$831$	−2.15896	−	1.38748i	−0.0748937	−	0.0481312i
$832$	−0.847603	+	5.89521i	−0.0293854	+	0.204380i
$833$	1.29909	−	2.84462i	0.0450109	−	0.0985602i
$834$	0.0908682	+	0.632002i	0.00314651	+	0.0218844i
$835$	2.48888	+	0.730800i	0.0861311	+	0.0252904i
$836$	−35.0727	+	22.5398i	−1.21301	+	0.779557i
$837$	−0.978267	−	2.14211i	−0.0338139	−	0.0740420i
$838$	−2.01391	+	0.591338i	−0.0695694	+	0.0204274i
$839$	35.9881	−	41.5325i	1.24245	−	1.43386i	0.382124	−	0.924111i	$-0.375193\pi$
$839$	35.9881	−	41.5325i	1.24245	−	1.43386i	0.860323	−	0.509749i	$-0.170262\pi$
$840$	−0.152009	+	0.175428i	−0.00524481	+	0.00605283i
$841$	−45.3075	+	13.3035i	−1.56233	+	0.458741i
$842$	−9.17398	−	20.0882i	−0.316156	−	0.692286i
$843$	1.01996	−	0.655487i	0.0351292	−	0.0225762i
$844$	−10.7843	−	3.16657i	−0.371212	−	0.108998i
$845$	−5.32194	−	37.0149i	−0.183080	−	1.27335i
$846$	5.87810	−	12.8712i	0.202093	−	0.442522i
$847$	2.86857	−	19.9513i	0.0985653	−	0.685536i
$848$	8.19765	+	5.26831i	0.281509	+	0.180915i
$849$	−0.351641	−	0.405816i	−0.0120683	−	0.0139276i
$850$	2.09375			0.0718149
$851$	−13.5997	+	7.48755i	−0.466193	+	0.256670i
$852$	−1.87617			−0.0642765
$853$	−1.03303	−	1.19219i	−0.0353704	−	0.0408197i	0.737789	−	0.675032i	$-0.235870\pi$
$853$	−1.03303	−	1.19219i	−0.0353704	−	0.0408197i	−0.773159	+	0.634212i	$0.781325\pi$
$854$	−1.75646	−	1.12881i	−0.0601048	−	0.0386270i
$855$	2.04851	−	14.2477i	0.0700577	−	0.487262i
$856$	1.46740	−	3.21317i	0.0501548	−	0.109824i
$857$	1.33970	+	9.31781i	0.0457633	+	0.318290i	0.999825	+	0.0186819i	$0.00594699\pi$
$857$	1.33970	+	9.31781i	0.0457633	+	0.318290i	−0.954062	+	0.299609i	$0.903144\pi$
$858$	−2.48480	−	0.729603i	−0.0848297	−	0.0249082i
$859$	12.7858	−	8.21695i	0.436246	−	0.280359i	−0.304028	−	0.952663i	$-0.598332\pi$
$859$	12.7858	−	8.21695i	0.436246	−	0.280359i	0.740275	+	0.672304i	$0.234695\pi$
$860$	−1.07275	−	2.34899i	−0.0365804	−	0.0800998i
$861$	0.586282	−	0.172148i	0.0199804	−	0.00586679i
$862$	−4.82690	+	5.57054i	−0.164405	+	0.189733i
$863$	−23.7674	+	27.4291i	−0.809053	+	0.933697i	−0.998841	−	0.0481284i	$-0.984674\pi$
$863$	−23.7674	+	27.4291i	−0.809053	+	0.933697i	0.189788	+	0.981825i	$0.439220\pi$
$864$	3.23616	−	0.950221i	0.110096	−	0.0323272i
$865$	7.83589	+	17.1582i	0.266428	+	0.583397i
$866$	14.1888	−	9.11860i	0.482155	−	0.309863i
$867$	0.676274	+	0.198572i	0.0229675	+	0.00674386i
$868$	−0.889343	−	6.18552i	−0.0301863	−	0.209950i
$869$	11.9975	−	26.2709i	0.406988	−	0.891179i
$870$	−0.0812016	+	0.564770i	−0.00275299	+	0.0191475i
$871$	−54.7931	−	35.2134i	−1.85659	−	1.19316i
$872$	10.4651	+	12.0773i	0.354391	+	0.408989i
$873$	20.7580			0.702553
$874$	9.30503	+	12.3404i	0.314747	+	0.417419i
$875$	−1.00000			−0.0338062
$876$	−1.36414	−	1.57430i	−0.0460899	−	0.0531905i
$877$	−25.5313	−	16.4080i	−0.862132	−	0.554058i	0.0332049	−	0.999449i	$-0.489429\pi$
$877$	−25.5313	−	16.4080i	−0.862132	−	0.554058i	−0.895337	+	0.445390i	$0.853065\pi$
$878$	0.356234	−	2.47766i	0.0120223	−	0.0836171i
$879$	1.25180	−	2.74106i	0.0422222	−	0.0924536i
$880$	−1.20059	−	8.35029i	−0.0404719	−	0.281488i
$881$	−27.0242	−	7.93502i	−0.910468	−	0.267338i	−0.207230	−	0.978292i	$-0.566445\pi$
$881$	−27.0242	−	7.93502i	−0.910468	−	0.267338i	−0.703238	+	0.710955i	$0.748263\pi$
$882$	−1.68435	+	1.08247i	−0.0567150	+	0.0364485i
$883$	0.188288	+	0.412294i	0.00633640	+	0.0138748i	0.912774	−	0.408466i	$-0.133936\pi$
$883$	0.188288	+	0.412294i	0.00633640	+	0.0138748i	−0.906437	+	0.422340i	$0.861209\pi$
$884$	33.0533	−	9.70532i	1.11170	−	0.326425i
$885$	−0.373447	+	0.430981i	−0.0125533	+	0.0144873i
$886$	−9.87472	+	11.3960i	−0.331748	+	0.382857i
$887$	−21.7786	+	6.39477i	−0.731254	+	0.214715i	−0.626102	−	0.779741i	$-0.715351\pi$
$887$	−21.7786	+	6.39477i	−0.731254	+	0.214715i	−0.105151	+	0.994456i	$0.533533\pi$
$888$	−0.312149	−	0.683510i	−0.0104750	−	0.0229371i
$889$	8.65960	−	5.56519i	0.290434	−	0.186650i
$890$	9.77511	+	2.87023i	0.327662	+	0.0962103i
$891$	−7.08131	−	49.2516i	−0.237233	−	1.64999i
$892$	−4.82639	+	10.5683i	−0.161599	+	0.353853i
$893$	4.84115	−	33.6709i	0.162003	−	1.12676i
$894$	0.930631	+	0.598080i	0.0311250	+	0.0200028i
$895$	−1.48213	−	1.71047i	−0.0495423	−	0.0571749i
$896$	10.9740			0.366615
$897$	0.695124	−	3.24982i	0.0232095	−	0.108508i
$898$	−12.9438			−0.431941
$899$	−23.0242	−	26.5714i	−0.767901	−	0.886205i
$900$	3.90378	+	2.50881i	0.130126	+	0.0836268i
$901$	−2.86946	+	19.9576i	−0.0955957	+	0.664883i
$902$	9.71794	−	21.2793i	0.323572	−	0.708524i
$903$	0.0231185	+	0.160793i	0.000769337	+	0.00535085i
$904$	−39.9169	−	11.7207i	−1.32762	−	0.389824i
$905$	4.78838	−	3.07731i	0.159171	−	0.102293i
$906$	−0.436931	−	0.956746i	−0.0145161	−	0.0317857i
$907$	−16.2887	+	4.78280i	−0.540858	+	0.158810i	−0.540740	−	0.841190i	$-0.681856\pi$
$907$	−16.2887	+	4.78280i	−0.540858	+	0.158810i	−0.000117747		1.00000i	$0.500037\pi$
$908$	−2.88740	+	3.33224i	−0.0958218	+	0.110584i
$909$	−1.45721	+	1.68171i	−0.0483326	+	0.0557788i
$910$	4.56041	−	1.33906i	0.151176	−	0.0443893i
$911$	12.1743	+	26.6580i	0.403353	+	0.883220i	0.996919	+	0.0784348i	$0.0249923\pi$
$911$	12.1743	+	26.6580i	0.403353	+	0.883220i	−0.593566	+	0.804785i	$0.702280\pi$
$912$	0.597392	−	0.383921i	0.0197816	−	0.0127129i
$913$	0.156038	+	0.0458170i	0.00516411	+	0.00151632i
$914$	−2.05718	−	14.3080i	−0.0680455	−	0.473267i
$915$	0.126456	−	0.276901i	0.00418052	−	0.00915407i
$916$	3.23473	−	22.4980i	0.106879	−	0.743356i
$917$	−18.9123	−	12.1542i	−0.624538	−	0.401366i
$918$	0.801766	+	0.925287i	0.0264622	+	0.0305390i
$919$	−46.3717			−1.52966			−0.764831	−	0.644231i	$-0.777177\pi$
$919$	−46.3717			−1.52966			−0.764831	+	0.644231i	$0.777177\pi$
$920$	−11.1352	+	2.46292i	−0.367118	+	0.0812000i
$921$	1.83956			0.0606154
$922$	−1.17728	−	1.35865i	−0.0387715	−	0.0447447i
$923$	73.9713	+	47.5385i	2.43479	+	1.56475i
$924$	−0.120325	+	0.836880i	−0.00395841	+	0.0275313i
$925$	1.34475	−	2.94459i	0.0442151	−	0.0968176i
$926$	−0.312808	−	2.17563i	−0.0102795	−	0.0714955i
$927$	4.31296	+	1.26640i	0.141656	+	0.0415940i
$928$	42.3619	−	27.2243i	1.39060	−	0.893683i
$929$	2.61672	+	5.72981i	0.0858517	+	0.187989i	0.947688	−	0.319197i	$-0.103413\pi$
$929$	2.61672	+	5.72981i	0.0858517	+	0.187989i	−0.861837	+	0.507186i	$0.830686\pi$
$930$	−0.252535	+	0.0741510i	−0.00828095	+	0.00243151i
$931$	−3.15209	+	3.63770i	−0.103305	+	0.119221i
$932$	−15.7977	+	18.2315i	−0.517470	+	0.597193i
$933$	0.201788	−	0.0592504i	0.00660625	−	0.00193977i
$934$	4.93104	+	10.7975i	0.161349	+	0.353304i
$935$	14.6845	−	9.43716i	0.480235	−	0.308628i
$936$	−48.4378	−	14.2226i	−1.58324	−	0.464881i
$937$	−2.89943	−	20.1660i	−0.0947204	−	0.658795i	−0.980765	−	0.195194i	$-0.937466\pi$
$937$	−2.89943	−	20.1660i	−0.0947204	−	0.658795i	0.886044	−	0.463601i	$-0.153443\pi$
$938$	2.55183	−	5.58772i	0.0833201	−	0.182445i
$939$	−0.253482	+	1.76301i	−0.00827207	+	0.0575335i
$940$	9.22560	+	5.92893i	0.300906	+	0.193380i
$941$	13.1276	+	15.1501i	0.427948	+	0.493878i	0.928242	−	0.371978i	$-0.121320\pi$
$941$	13.1276	+	15.1501i	0.427948	+	0.493878i	−0.500294	+	0.865856i	$0.666775\pi$
$942$	−0.189399			−0.00617096
$943$	28.1639	+	10.3931i	0.917142	+	0.338447i
$944$	8.82951			0.287376
$945$	−0.382933	−	0.441929i	−0.0124568	−	0.0143759i
$946$	5.23195	+	3.36237i	0.170105	+	0.109320i
$947$	3.97687	−	27.6597i	0.129231	−	0.898820i	−0.817301	−	0.576211i	$-0.804531\pi$
$947$	3.97687	−	27.6597i	0.129231	−	0.898820i	0.946532	−	0.322610i	$-0.104560\pi$
$948$	−0.325573	+	0.712906i	−0.0105741	+	0.0231541i
$949$	13.8939	+	96.6339i	0.451014	+	3.13687i
$950$	−3.09212	−	0.907930i	−0.100322	−	0.0294571i
$951$	−2.44565	+	1.57172i	−0.0793057	+	0.0509667i
$952$	3.08921	+	6.76442i	0.100122	+	0.219236i
$953$	−27.7670	+	8.15311i	−0.899460	+	0.264105i	−0.698598	−	0.715514i	$-0.746192\pi$
$953$	−27.7670	+	8.15311i	−0.899460	+	0.264105i	−0.200862	+	0.979620i	$0.564374\pi$
$954$	8.45370	−	9.75609i	0.273699	−	0.315865i
$955$	10.0818	−	11.6350i	0.326238	−	0.376499i
$956$	−15.6245	+	4.58778i	−0.505334	+	0.148379i
$957$	1.97608	+	4.32702i	0.0638777	+	0.139873i
$958$	−12.4562	+	8.00510i	−0.402441	+	0.258633i
$959$	1.44628	+	0.424666i	0.0467028	+	0.0137132i
$960$	−0.0116549	−	0.0810618i	−0.000376161	−	0.00261626i
$961$	−6.14060	+	13.4460i	−0.198084	+	0.433743i
$962$	−2.18963	+	15.2292i	−0.0705966	+	0.491010i
$963$	3.73704	+	2.40165i	0.120424	+	0.0773920i
$964$	−18.5115	−	21.3634i	−0.596216	−	0.688069i
$965$	−11.5120			−0.370586
$966$	0.312709	+	0.0212723i	0.0100613	+	0.000684426i
$967$	−35.8395			−1.15252			−0.576260	−	0.817267i	$-0.695488\pi$
$967$	−35.8395			−1.15252			−0.576260	+	0.817267i	$0.695488\pi$
$968$	31.3885	+	36.2243i	1.00887	+	1.16429i
$969$	1.23608	+	0.794383i	0.0397087	+	0.0255192i
$970$	0.661398	−	4.60012i	0.0212362	−	0.147701i
$971$	−23.6305	+	51.7436i	−0.758339	+	1.66053i	−0.00756632	+	0.999971i	$0.502408\pi$
$971$	−23.6305	+	51.7436i	−0.758339	+	1.66053i	−0.750773	+	0.660560i	$0.770319\pi$
$972$	0.579568	+	4.03098i	0.0185896	+	0.129294i
$973$	−9.37398	−	2.75245i	−0.300516	−	0.0882395i
$974$	−8.73936	+	5.61645i	−0.280027	+	0.179963i
$975$	0.287867	+	0.630341i	0.00921912	+	0.0201871i
$976$	−4.52228	+	1.32786i	−0.144755	+	0.0425038i
$977$	−15.0100	+	17.3224i	−0.480211	+	0.554193i	−0.943224	−	0.332159i	$-0.892223\pi$
$977$	−15.0100	+	17.3224i	−0.480211	+	0.554193i	0.463013	+	0.886352i	$0.346768\pi$
$978$	0.166511	−	0.192164i	0.00532444	−	0.00614473i
$979$	81.4948	−	23.9290i	2.60459	−	0.764775i
$980$	−0.644615	−	1.41151i	−0.0205915	−	0.0450891i
$981$	−16.9064	+	10.8651i	−0.539781	+	0.346896i
$982$	−2.14879	−	0.630941i	−0.0685706	−	0.0201341i
$983$	−5.16922	−	35.9527i	−0.164872	−	1.14671i	−0.889287	−	0.457349i	$-0.848799\pi$
$983$	−5.16922	−	35.9527i	−0.164872	−	1.14671i	0.724415	−	0.689364i	$-0.242110\pi$
$984$	−0.603607	+	1.32171i	−0.0192423	+	0.0421347i
$985$	1.76079	−	12.2465i	0.0561033	−	0.390207i
$986$	15.3775	+	9.88253i	0.489720	+	0.314724i
$987$	−0.451764	−	0.521363i	−0.0143798	−	0.0165952i
$988$	−53.0230			−1.68688
$989$	−3.80053	+	7.01807i	−0.120850	+	0.223162i
$990$	−11.1758			−0.355191
$991$	10.5235	+	12.1448i	0.334291	+	0.385792i	0.897863	−	0.440274i	$-0.145119\pi$
$991$	10.5235	+	12.1448i	0.334291	+	0.385792i	−0.563572	+	0.826067i	$0.690573\pi$
$992$	19.5407	+	12.5581i	0.620419	+	0.398719i
$993$	−0.414925	+	2.88586i	−0.0131672	+	0.0915801i
$994$	−3.44499	+	7.54348i	−0.109269	+	0.239265i
$995$	3.73646	+	25.9876i	0.118454	+	0.823864i
$996$	−0.00423437	−	0.00124332i	−0.000134171	−	3.93962e-5i
$997$	14.6383	−	9.40749i	0.463601	−	0.297938i	−0.287912	−	0.957657i	$-0.592961\pi$
$997$	14.6383	−	9.40749i	0.463601	−	0.297938i	0.751512	+	0.659719i	$0.229325\pi$
$998$	−8.79216	−	19.2521i	−0.278311	−	0.609416i
$999$	1.81625	−	0.533299i	0.0574636	−	0.0168728i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	805.2.u.d.36.4	✓	130
23.16	even	11	inner	805.2.u.d.246.4	yes	130

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
805.2.u.d.36.4	✓	130	1.1	even	1	trivial
805.2.u.d.246.4	yes	130	23.16	even	11	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:	\( N \)	\(=\)	\( 805 = 5 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	805.u (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.438445 - 0.505992i) q^{2} +(0.0821184 + 0.0527743i) q^{3} +(0.220835 - 1.53594i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.00930099 - 0.0646898i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-2.00048 + 1.28563i) q^{8} +(-1.24229 - 2.72023i) q^{9} +O(q^{10})\)	\(q+(-0.438445 - 0.505992i) q^{2} +(0.0821184 + 0.0527743i) q^{3} +(0.220835 - 1.53594i) q^{4} +(0.415415 - 0.909632i) q^{5} +(-0.00930099 - 0.0646898i) q^{6} +(0.959493 + 0.281733i) q^{7} +(-2.00048 + 1.28563i) q^{8} +(-1.24229 - 2.72023i) q^{9} +(-0.642403 + 0.188627i) q^{10} +(-3.65530 + 4.21844i) q^{11} +(0.0991929 - 0.114475i) q^{12} +(-6.81143 + 2.00001i) q^{13} +(-0.278130 - 0.609020i) q^{14} +(0.0821184 - 0.0527743i) q^{15} +(-1.45015 - 0.425802i) q^{16} +(-0.445050 - 3.09539i) q^{17} +(-0.831740 + 1.82126i) q^{18} +(-0.685014 + 4.76438i) q^{19} +(-1.30541 - 0.838933i) q^{20} +(0.0639238 + 0.0737720i) q^{21} +3.73715 q^{22} +(0.358769 + 4.78239i) q^{23} -0.232124 q^{24} +(-0.654861 - 0.755750i) q^{25} +(3.99842 + 2.56963i) q^{26} +(0.0832194 - 0.578804i) q^{27} +(0.644615 - 1.41151i) q^{28} +(-1.24247 - 8.64156i) q^{29} +(-0.0627077 - 0.0184126i) q^{30} +(3.38788 - 2.17726i) q^{31} +(2.39605 + 5.24661i) q^{32} +(-0.522793 + 0.153506i) q^{33} +(-1.37111 + 1.58235i) q^{34} +(0.654861 - 0.755750i) q^{35} +(-4.45246 + 1.30736i) q^{36} +(1.34475 + 2.94459i) q^{37} +(2.71108 - 1.74230i) q^{38} +(-0.664892 - 0.195230i) q^{39} +(0.338421 + 2.35377i) q^{40} +(2.60036 - 5.69400i) q^{41} +(0.00930099 - 0.0646898i) q^{42} +(1.39999 + 0.899716i) q^{43} +(5.67207 + 6.54592i) q^{44} -2.99047 q^{45} +(2.26255 - 2.27835i) q^{46} -7.06723 q^{47} +(-0.0966123 - 0.111497i) q^{48} +(0.841254 + 0.540641i) q^{49} +(-0.0952831 + 0.662709i) q^{50} +(0.126810 - 0.277675i) q^{51} +(1.56771 + 10.9036i) q^{52} +(-6.18635 - 1.81648i) q^{53} +(-0.329357 + 0.211665i) q^{54} +(2.31876 + 5.07739i) q^{55} +(-2.28165 + 0.669952i) q^{56} +(-0.307689 + 0.355092i) q^{57} +(-3.82781 + 4.41752i) q^{58} +(-5.60542 + 1.64590i) q^{59} +(-0.0629237 - 0.137784i) q^{60} +(2.62345 - 1.68599i) q^{61} +(-2.58707 - 0.759633i) q^{62} +(-0.425588 - 2.96003i) q^{63} +(0.348521 - 0.763154i) q^{64} +(-1.01029 + 7.02673i) q^{65} +(0.306888 + 0.197225i) q^{66} +(6.00830 + 6.93395i) q^{67} -4.85262 q^{68} +(-0.222926 + 0.411656i) q^{69} -0.669524 q^{70} +(-8.11127 - 9.36091i) q^{71} +(5.98237 + 3.84464i) q^{72} +(1.95716 - 13.6124i) q^{73} +(0.900342 - 1.97147i) q^{74} +(-0.0138920 - 0.0966207i) q^{75} +(7.16654 + 2.10429i) q^{76} +(-4.69571 + 3.01775i) q^{77} +(0.192734 + 0.422028i) q^{78} +(-4.96451 + 1.45771i) q^{79} +(-0.989736 + 1.14222i) q^{80} +(-5.83765 + 6.73700i) q^{81} +(-4.02123 + 1.18074i) q^{82} +(-0.0121031 - 0.0265021i) q^{83} +(0.127426 - 0.0818918i) q^{84} +(-3.00054 - 0.881039i) q^{85} +(-0.158567 - 1.10286i) q^{86} +(0.354022 - 0.775201i) q^{87} +(1.88900 - 13.1383i) q^{88} +(-12.8009 - 8.22664i) q^{89} +(1.31116 + 1.51316i) q^{90} -7.09898 q^{91} +(7.42472 + 0.505073i) q^{92} +0.393110 q^{93} +(3.09859 + 3.57596i) q^{94} +(4.04926 + 2.60230i) q^{95} +(-0.0801266 + 0.557293i) q^{96} +(-2.88356 + 6.31411i) q^{97} +(-0.0952831 - 0.662709i) q^{98} +(16.0161 + 4.70274i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9}+O(q^{10}) \) 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9	\( 130 q + 2 q^{2} + 2 q^{3} - 16 q^{4} - 13 q^{5} + 5 q^{6} + 13 q^{7} - 7 q^{8} - 39 q^{9} + 2 q^{10} + 2 q^{11} - 5 q^{12} + 13 q^{13} - 2 q^{14} + 2 q^{15} - 6 q^{16} - 51 q^{17} + q^{18} - 9 q^{19} - 16 q^{20} - 2 q^{21} + 34 q^{22} - 10 q^{23} - 76 q^{24} - 13 q^{25} - 31 q^{26} + 14 q^{27} + 27 q^{28} + 3 q^{29} + 5 q^{30} + 6 q^{31} + 22 q^{32} - 58 q^{33} + q^{34} + 13 q^{35} + 193 q^{36} - 36 q^{37} + 4 q^{38} - 2 q^{39} - 29 q^{40} - 34 q^{41} - 5 q^{42} - 22 q^{43} + 8 q^{44} + 170 q^{45} - 198 q^{46} - 14 q^{47} - 120 q^{48} - 13 q^{49} + 2 q^{50} - 6 q^{51} + 33 q^{52} - 18 q^{53} + 188 q^{54} - 31 q^{55} - 15 q^{56} - 9 q^{57} + 114 q^{58} + 46 q^{59} - 16 q^{60} - 56 q^{61} - 146 q^{62} + 17 q^{63} - 109 q^{64} + 2 q^{65} - 14 q^{66} - 10 q^{67} + 86 q^{68} - 6 q^{69} - 2 q^{70} - 25 q^{72} + 64 q^{73} + 79 q^{74} + 2 q^{75} + 32 q^{76} - 13 q^{77} - 64 q^{78} - 118 q^{79} - 17 q^{80} + 23 q^{81} + 129 q^{82} - 117 q^{83} - 72 q^{84} - 7 q^{85} + 74 q^{86} - 51 q^{87} - 40 q^{88} - 35 q^{89} + 100 q^{90} + 42 q^{91} + 76 q^{92} - 90 q^{93} - 7 q^{94} + 2 q^{95} + 393 q^{96} - 4 q^{97} + 2 q^{98} - 40 q^{99}+O(q^{100}) \) 130 * q + 2 * q^2 + 2 * q^3 - 16 * q^4 - 13 * q^5 + 5 * q^6 + 13 * q^7 - 7 * q^8 - 39 * q^9 + 2 * q^10 + 2 * q^11 - 5 * q^12 + 13 * q^13 - 2 * q^14 + 2 * q^15 - 6 * q^16 - 51 * q^17 + q^18 - 9 * q^19 - 16 * q^20 - 2 * q^21 + 34 * q^22 - 10 * q^23 - 76 * q^24 - 13 * q^25 - 31 * q^26 + 14 * q^27 + 27 * q^28 + 3 * q^29 + 5 * q^30 + 6 * q^31 + 22 * q^32 - 58 * q^33 + q^34 + 13 * q^35 + 193 * q^36 - 36 * q^37 + 4 * q^38 - 2 * q^39 - 29 * q^40 - 34 * q^41 - 5 * q^42 - 22 * q^43 + 8 * q^44 + 170 * q^45 - 198 * q^46 - 14 * q^47 - 120 * q^48 - 13 * q^49 + 2 * q^50 - 6 * q^51 + 33 * q^52 - 18 * q^53 + 188 * q^54 - 31 * q^55 - 15 * q^56 - 9 * q^57 + 114 * q^58 + 46 * q^59 - 16 * q^60 - 56 * q^61 - 146 * q^62 + 17 * q^63 - 109 * q^64 + 2 * q^65 - 14 * q^66 - 10 * q^67 + 86 * q^68 - 6 * q^69 - 2 * q^70 - 25 * q^72 + 64 * q^73 + 79 * q^74 + 2 * q^75 + 32 * q^76 - 13 * q^77 - 64 * q^78 - 118 * q^79 - 17 * q^80 + 23 * q^81 + 129 * q^82 - 117 * q^83 - 72 * q^84 - 7 * q^85 + 74 * q^86 - 51 * q^87 - 40 * q^88 - 35 * q^89 + 100 * q^90 + 42 * q^91 + 76 * q^92 - 90 * q^93 - 7 * q^94 + 2 * q^95 + 393 * q^96 - 4 * q^97 + 2 * q^98 - 40 * q^99

Introduction

L-functions

Modular forms

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