LMFDB - Embedded newform 804.2.w.a.59.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(59,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("804.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.w (of order $22$, 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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$1320$
Relative dimension:	$132$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			59.11
Character	$\chi$	$=$	804.59
Dual form			804.2.w.a.695.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.34827 - 0.426823i) q^{2} +(1.26016 + 1.18828i) q^{3} +(1.63564 + 1.15094i) q^{4} +(-2.07016 + 3.22123i) q^{5} +(-1.19184 - 2.13998i) q^{6} +(1.08648 + 0.156213i) q^{7} +(-1.71403 - 2.24991i) q^{8} +(0.175983 + 2.99483i) q^{9} +O(q^{10})$	\(q+(-1.34827 - 0.426823i) q^{2} +(1.26016 + 1.18828i) q^{3} +(1.63564 + 1.15094i) q^{4} +(-2.07016 + 3.22123i) q^{5} +(-1.19184 - 2.13998i) q^{6} +(1.08648 + 0.156213i) q^{7} +(-1.71403 - 2.24991i) q^{8} +(0.175983 + 2.99483i) q^{9} +(4.16602 - 3.45948i) q^{10} +(-2.88133 - 1.85172i) q^{11} +(0.693524 + 3.39397i) q^{12} +(1.14870 + 2.51530i) q^{13} +(-1.39819 - 0.674352i) q^{14} +(-6.43643 + 1.59932i) q^{15} +(1.35066 + 3.76506i) q^{16} +(-0.0295145 - 0.100517i) q^{17} +(1.04099 - 4.11295i) q^{18} +(1.18382 - 0.170208i) q^{19} +(-7.09348 + 2.88615i) q^{20} +(1.18351 + 1.48790i) q^{21} +(3.09444 + 3.72642i) q^{22} +(4.62774 + 5.34070i) q^{23} +(0.513570 - 4.87199i) q^{24} +(-4.01367 - 8.78872i) q^{25} +(-0.475163 - 3.88158i) q^{26} +(-3.33693 + 3.98307i) q^{27} +(1.59731 + 1.50599i) q^{28} +5.19072i q^{29} +(9.36065 + 0.590910i) q^{30} +(-3.13696 - 1.43260i) q^{31} +(-0.214035 - 5.65280i) q^{32} +(-1.43056 - 5.75727i) q^{33} +(-0.00310965 + 0.148121i) q^{34} +(-2.75238 + 3.17642i) q^{35} +(-3.15904 + 5.10103i) q^{36} -8.18144 q^{37} +(-1.66875 - 0.275797i) q^{38} +(-1.54134 + 4.53464i) q^{39} +(10.7958 - 0.863631i) q^{40} +(-0.287119 - 0.977837i) q^{41} +(-0.960621 - 2.51123i) q^{42} +(-0.335737 - 1.14342i) q^{43} +(-2.58160 - 6.34499i) q^{44} +(-10.0113 - 5.63289i) q^{45} +(-3.95989 - 9.17591i) q^{46} +(-5.96676 - 6.88601i) q^{47} +(-2.77191 + 6.34953i) q^{48} +(-5.56041 - 1.63268i) q^{49} +(1.66027 + 13.5627i) q^{50} +(0.0822497 - 0.161739i) q^{51} +(-1.01610 + 5.43621i) q^{52} +(2.68265 - 9.13628i) q^{53} +(6.19914 - 3.94596i) q^{54} +(11.9296 - 5.44806i) q^{55} +(-1.51080 - 2.71224i) q^{56} +(1.69405 + 1.19222i) q^{57} +(2.21552 - 6.99847i) q^{58} +(0.212684 - 0.465713i) q^{59} +(-12.3684 - 4.79205i) q^{60} +(-3.57059 + 2.29468i) q^{61} +(3.61799 + 3.27046i) q^{62} +(-0.276628 + 3.28133i) q^{63} +(-2.12417 + 7.71284i) q^{64} +(-10.4803 - 1.50684i) q^{65} +(-0.528557 + 8.37293i) q^{66} +(8.16357 + 0.596718i) q^{67} +(0.0674143 - 0.198380i) q^{68} +(-0.514570 + 12.2292i) q^{69} +(5.06672 - 3.10788i) q^{70} +(11.4634 + 3.36596i) q^{71} +(6.43646 - 5.52919i) q^{72} +(-4.82675 + 3.10196i) q^{73} +(11.0308 + 3.49203i) q^{74} +(5.38560 - 15.8445i) q^{75} +(2.13221 + 1.08411i) q^{76} +(-2.84125 - 2.46196i) q^{77} +(4.01362 - 5.45602i) q^{78} +(-1.93276 + 0.882662i) q^{79} +(-14.9242 - 3.44348i) q^{80} +(-8.93806 + 1.05408i) q^{81} +(-0.0302509 + 1.44093i) q^{82} +(4.50585 + 2.89574i) q^{83} +(0.223321 + 3.79582i) q^{84} +(0.384888 + 0.113013i) q^{85} +(-0.0353733 + 1.68493i) q^{86} +(-6.16802 + 6.54111i) q^{87} +(0.772502 + 9.65662i) q^{88} +(-8.05112 - 6.97634i) q^{89} +(11.0937 + 11.8677i) q^{90} +(0.855118 + 2.91227i) q^{91} +(1.42250 + 14.0617i) q^{92} +(-2.25073 - 5.53289i) q^{93} +(5.10567 + 11.8309i) q^{94} +(-1.90242 + 4.16571i) q^{95} +(6.44739 - 7.37774i) q^{96} +2.73349 q^{97} +(6.80004 + 4.57460i) q^{98} +(5.03851 - 8.95496i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$	$-1$

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 $

$2$	−1.34827	−	0.426823i	−0.953368	−	0.301810i
$2$	−1.34827	−	0.426823i	−0.953368	−	0.301810i
$3$	1.26016	+	1.18828i	0.727551	+	0.686054i
$3$	1.26016	+	1.18828i	0.727551	+	0.686054i
$4$	1.63564	+	1.15094i	0.817822	+	0.575471i
$5$	−2.07016	+	3.22123i	−0.925802	+	1.44058i	−0.0282829	+	0.999600i	$0.509004\pi$
$5$	−2.07016	+	3.22123i	−0.925802	+	1.44058i	−0.897519	+	0.440976i	$0.854632\pi$
$6$	−1.19184	−	2.13998i	−0.486567	−	0.873644i
$7$	1.08648	+	0.156213i	0.410652	+	0.0590428i	0.344545	−	0.938770i	$-0.388033\pi$
$7$	1.08648	+	0.156213i	0.410652	+	0.0590428i	0.0661066	+	0.997813i	$0.478942\pi$
$8$	−1.71403	−	2.24991i	−0.606003	−	0.795463i
$9$	0.175983	+	2.99483i	0.0586611	+	0.998278i
$10$	4.16602	−	3.45948i	1.31741	−	1.09398i
$11$	−2.88133	−	1.85172i	−0.868752	−	0.558313i	0.0286186	−	0.999590i	$-0.490889\pi$
$11$	−2.88133	−	1.85172i	−0.868752	−	0.558313i	−0.897371	+	0.441277i	$0.854526\pi$
$12$	0.693524	+	3.39397i	0.200203	+	0.979754i
$13$	1.14870	+	2.51530i	0.318591	+	0.697617i	0.999393	−	0.0348507i	$-0.0110956\pi$
$13$	1.14870	+	2.51530i	0.318591	+	0.697617i	−0.680801	+	0.732468i	$0.738368\pi$
$14$	−1.39819	−	0.674352i	−0.373683	−	0.180228i
$15$	−6.43643	+	1.59932i	−1.66188	+	0.412943i
$16$	1.35066	+	3.76506i	0.337665	+	0.941266i
$17$	−0.0295145	−	0.100517i	−0.00715832	−	0.0243790i	0.955836	−	0.293899i	$-0.0949530\pi$
$17$	−0.0295145	−	0.100517i	−0.00715832	−	0.0243790i	−0.962995	+	0.269520i	$0.913135\pi$
$18$	1.04099	−	4.11295i	0.245364	−	0.969431i
$19$	1.18382	−	0.170208i	0.271587	−	0.0390483i	−0.00517560	−	0.999987i	$-0.501647\pi$
$19$	1.18382	−	0.170208i	0.271587	−	0.0390483i	0.276763	+	0.960938i	$0.410738\pi$
$20$	−7.09348	+	2.88615i	−1.58615	+	0.645362i
$21$	1.18351	+	1.48790i	0.258264	+	0.324686i
$22$	3.09444	+	3.72642i	0.659737	+	0.794476i
$23$	4.62774	+	5.34070i	0.964951	+	1.11361i	0.993479	+	0.114020i	$0.0363726\pi$
$23$	4.62774	+	5.34070i	0.964951	+	1.11361i	−0.0285278	+	0.999593i	$0.509082\pi$
$24$	0.513570	−	4.87199i	0.104832	−	0.994490i
$25$	−4.01367	−	8.78872i	−0.802735	−	1.75774i
$26$	−0.475163	−	3.88158i	−0.0931871	−	0.761240i
$27$	−3.33693	+	3.98307i	−0.642193	+	0.766543i
$28$	1.59731	+	1.50599i	0.301863	+	0.284605i
$29$			5.19072i			0.963892i	0.876201	+	0.481946i	$0.160070\pi$
$29$			5.19072i			0.963892i	−0.876201	+	0.481946i	$0.839930\pi$
$30$	9.36065	+	0.590910i	1.70901	+	0.107885i
$31$	−3.13696	−	1.43260i	−0.563415	−	0.257303i	0.113284	−	0.993563i	$-0.463863\pi$
$31$	−3.13696	−	1.43260i	−0.563415	−	0.257303i	−0.676699	+	0.736260i	$0.736590\pi$
$32$	−0.214035	−	5.65280i	−0.0378364	−	0.999284i
$33$	−1.43056	−	5.75727i	−0.249029	−	1.00221i
$34$	−0.00310965	+	0.148121i	−0.000533301	+	0.0254026i
$35$	−2.75238	+	3.17642i	−0.465238	+	0.536913i
$36$	−3.15904	+	5.10103i	−0.526506	+	0.850171i
$37$	−8.18144			−1.34502			−0.672510	−	0.740088i	$-0.734784\pi$
$37$	−8.18144			−1.34502			−0.672510	+	0.740088i	$0.734784\pi$
$38$	−1.66875	−	0.275797i	−0.270708	−	0.0447402i
$39$	−1.54134	+	4.53464i	−0.246812	+	0.726123i
$40$	10.7958	−	0.863631i	1.70696	−	0.136552i
$41$	−0.287119	−	0.977837i	−0.0448404	−	0.152713i	0.934030	−	0.357195i	$-0.116267\pi$
$41$	−0.287119	−	0.977837i	−0.0448404	−	0.152713i	−0.978870	+	0.204483i	$0.934449\pi$
$42$	−0.960621	−	2.51123i	−0.148227	−	0.387492i
$43$	−0.335737	−	1.14342i	−0.0511994	−	0.174369i	0.929924	−	0.367752i	$-0.119872\pi$
$43$	−0.335737	−	1.14342i	−0.0511994	−	0.174369i	−0.981123	+	0.193383i	$0.938054\pi$
$44$	−2.58160	−	6.34499i	−0.389191	−	0.956543i
$45$	−10.0113	−	5.63289i	−1.49240	−	0.839702i
$46$	−3.95989	−	9.17591i	−0.583854	−	1.35291i
$47$	−5.96676	−	6.88601i	−0.870342	−	1.00443i	−0.999917	−	0.0128582i	$-0.995907\pi$
$47$	−5.96676	−	6.88601i	−0.870342	−	1.00443i	0.129576	−	0.991570i	$-0.458638\pi$
$48$	−2.77191	+	6.34953i	−0.400090	+	0.916476i
$49$	−5.56041	−	1.63268i	−0.794344	−	0.233240i
$50$	1.66027	+	13.5627i	0.234798	+	1.91805i
$51$	0.0822497	−	0.161739i	0.0115173	−	0.0226480i
$52$	−1.01610	+	5.43621i	−0.140908	+	0.753867i
$53$	2.68265	−	9.13628i	0.368491	−	1.25496i	−0.541628	−	0.840618i	$-0.682192\pi$
$53$	2.68265	−	9.13628i	0.368491	−	1.25496i	0.910119	−	0.414347i	$-0.135990\pi$
$54$	6.19914	−	3.94596i	0.843597	−	0.536977i
$55$	11.9296	−	5.44806i	1.60858	−	0.734616i
$56$	−1.51080	−	2.71224i	−0.201890	−	0.362438i
$57$	1.69405	+	1.19222i	0.224383	+	0.157914i
$58$	2.21552	−	6.99847i	0.290912	−	0.918944i
$59$	0.212684	−	0.465713i	0.0276891	−	0.0606307i	−0.895282	−	0.445500i	$-0.853026\pi$
$59$	0.212684	−	0.465713i	0.0276891	−	0.0606307i	0.922971	+	0.384869i	$0.125753\pi$
$60$	−12.3684	−	4.79205i	−1.59676	−	0.618651i
$61$	−3.57059	+	2.29468i	−0.457167	+	0.293804i	−0.748884	−	0.662701i	$-0.769410\pi$
$61$	−3.57059	+	2.29468i	−0.457167	+	0.293804i	0.291717	+	0.956505i	$0.405774\pi$
$62$	3.61799	+	3.27046i	0.459485	+	0.415349i
$63$	−0.276628	+	3.28133i	−0.0348519	+	0.413408i
$64$	−2.12417	+	7.71284i	−0.265521	+	0.964105i
$65$	−10.4803	−	1.50684i	−1.29992	−	0.186901i
$66$	−0.528557	+	8.37293i	−0.0650609	+	1.03064i
$67$	8.16357	+	0.596718i	0.997339	+	0.0729007i
$67$	8.16357	+	0.596718i	0.997339	+	0.0729007i
$68$	0.0674143	−	0.198380i	0.00817519	−	0.0240571i
$69$	−0.514570	+	12.2292i	−0.0619469	+	1.47222i
$70$	5.06672	−	3.10788i	0.605588	−	0.371463i
$71$	11.4634	+	3.36596i	1.36046	+	0.399466i	0.878924	−	0.476962i	$-0.158262\pi$
$71$	11.4634	+	3.36596i	1.36046	+	0.399466i	0.481532	+	0.876428i	$0.340080\pi$
$72$	6.43646	−	5.52919i	0.758544	−	0.651622i
$73$	−4.82675	+	3.10196i	−0.564928	+	0.363057i	−0.791718	−	0.610886i	$-0.790813\pi$
$73$	−4.82675	+	3.10196i	−0.564928	+	0.363057i	0.226790	+	0.973944i	$0.427177\pi$
$74$	11.0308	+	3.49203i	1.28230	+	0.405940i
$75$	5.38560	−	15.8445i	0.621876	−	1.82957i
$76$	2.13221	+	1.08411i	0.244581	+	0.124356i
$77$	−2.84125	−	2.46196i	−0.323790	−	0.280566i
$78$	4.01362	−	5.45602i	0.454453	−	0.617772i
$79$	−1.93276	+	0.882662i	−0.217452	+	0.0993072i	−0.521163	−	0.853457i	$-0.674502\pi$
$79$	−1.93276	+	0.882662i	−0.217452	+	0.0993072i	0.303711	+	0.952764i	$0.401774\pi$
$80$	−14.9242	−	3.44348i	−1.66858	−	0.384993i
$81$	−8.93806	+	1.05408i	−0.993118	+	0.117120i
$82$	−0.0302509	+	1.44093i	−0.00334065	+	0.159125i
$83$	4.50585	+	2.89574i	0.494582	+	0.317848i	0.764046	−	0.645162i	$-0.223210\pi$
$83$	4.50585	+	2.89574i	0.494582	+	0.317848i	−0.269464	+	0.963010i	$0.586847\pi$
$84$	0.223321	+	3.79582i	0.0243663	+	0.414158i
$85$	0.384888	+	0.113013i	0.0417470	+	0.0122580i
$86$	−0.0353733	+	1.68493i	−0.00381440	+	0.181690i
$87$	−6.16802	+	6.54111i	−0.661281	+	0.701280i
$88$	0.772502	+	9.65662i	0.0823490	+	1.02940i
$89$	−8.05112	−	6.97634i	−0.853417	−	0.739490i	0.113783	−	0.993506i	$-0.463703\pi$
$89$	−8.05112	−	6.97634i	−0.853417	−	0.739490i	−0.967200	+	0.254015i	$0.918249\pi$
$90$	11.0937	+	11.8677i	1.16938	+	1.25097i
$91$	0.855118	+	2.91227i	0.0896408	+	0.305288i
$92$	1.42250	+	14.0617i	0.148306	+	1.46604i
$93$	−2.25073	−	5.53289i	−0.233390	−	0.573734i
$94$	5.10567	+	11.8309i	0.526610	+	1.22027i
$95$	−1.90242	+	4.16571i	−0.195184	+	0.427393i
$96$	6.44739	−	7.37774i	0.658034	−	0.752988i
$97$	2.73349			0.277544			0.138772	−	0.990324i	$-0.455684\pi$
$97$	2.73349			0.277544			0.138772	+	0.990324i	$0.455684\pi$
$98$	6.80004	+	4.57460i	0.686908	+	0.462105i
$99$	5.03851	−	8.95496i	0.506390	−	0.900007i
$100$	3.55037	−	18.9947i	0.355037	−	1.89947i
$101$	−0.0163697	+	0.00235360i	−0.00162884	+	0.000234192i	−0.143129	−	0.989704i	$-0.545716\pi$
$101$	−0.0163697	+	0.00235360i	−0.00162884	+	0.000234192i	0.141500	+	0.989938i	$0.454807\pi$
$102$	−0.179928	+	0.182961i	−0.0178156	+	0.0181158i
$103$	14.6625	+	6.69613i	1.44474	+	0.659789i	0.974835	−	0.222929i	$-0.0715618\pi$
$103$	14.6625	+	6.69613i	1.44474	+	0.659789i	0.469902	+	0.882718i	$0.344289\pi$
$104$	3.69028	−	6.89577i	0.361861	−	0.676185i
$105$	−7.24291	+	0.732182i	−0.706835	+	0.0714536i
$106$	−7.51651	+	11.1731i	−0.730068	+	1.08523i
$107$	−13.3135	+	8.55605i	−1.28706	+	0.827144i	−0.991741	−	0.128254i	$-0.959063\pi$
$107$	−13.3135	+	8.55605i	−1.28706	+	0.827144i	−0.295320	+	0.955398i	$0.595426\pi$
$108$	−10.0423	+	2.67427i	−0.966323	+	0.257332i
$109$	4.74640	+	10.3932i	0.454622	+	0.995484i	0.988681	+	0.150036i	$0.0479390\pi$
$109$	4.74640	+	10.3932i	0.454622	+	0.995484i	−0.534058	+	0.845448i	$0.679334\pi$
$110$	−18.4096	+	2.25361i	−1.75529	+	0.214873i
$111$	−10.3099	−	9.72183i	−0.978571	−	0.922756i
$112$	0.879320	+	4.30167i	0.0830879	+	0.406469i
$113$	4.03081	+	6.27206i	0.379187	+	0.590026i	0.977423	−	0.211294i	$-0.0677677\pi$
$113$	4.03081	+	6.27206i	0.379187	+	0.590026i	−0.598236	+	0.801320i	$0.704131\pi$
$114$	−1.77517	−	2.33049i	−0.166260	−	0.218271i
$115$	−26.7837	+	3.85092i	−2.49760	+	0.359100i
$116$	−5.97422	+	8.49016i	−0.554692	+	0.788292i
$117$	−7.33074	+	3.88281i	−0.677727	+	0.358966i
$118$	−0.485532	+	0.537127i	−0.0446969	+	0.0494466i
$119$	−0.0163650	−	0.113821i	−0.00150017	−	0.0104339i
$120$	14.6306	+	11.7401i	1.33558	+	1.07172i
$121$	0.303621	+	0.664836i	0.0276019	+	0.0604397i
$122$	5.79353	−	1.56983i	0.524521	−	0.142125i
$123$	0.800130	−	1.57340i	0.0721453	−	0.141869i
$124$	−3.48211	−	5.95369i	−0.312703	−	0.534657i
$125$	17.6689	+	2.54040i	1.58035	+	0.227220i
$126$	1.77351	−	4.30603i	0.157997	−	0.383612i
$127$	7.05522	+	1.01439i	0.626050	+	0.0900123i	0.448036	−	0.894016i	$-0.352124\pi$
$127$	7.05522	+	1.01439i	0.626050	+	0.0900123i	0.178014	+	0.984028i	$0.443033\pi$
$128$	6.15597	−	9.49232i	0.544116	−	0.839010i
$129$	0.935616	−	1.83983i	0.0823764	−	0.161988i
$130$	13.4871	+	6.50487i	1.18290	+	0.570514i
$131$	14.6500	+	16.9069i	1.27997	+	1.47717i	0.800148	+	0.599802i	$0.204754\pi$
$131$	14.6500	+	16.9069i	1.27997	+	1.47717i	0.479824	+	0.877365i	$0.340700\pi$
$132$	4.28640	−	11.0633i	0.373083	−	0.962940i
$133$	1.31279			0.113833
$134$	−10.7520	−	4.28894i	−0.928829	−	0.370508i
$135$	−5.92240	−	18.9946i	−0.509719	−	1.63479i
$136$	−0.175566	+	0.238695i	−0.0150546	+	0.0204679i
$137$	−9.69723	+	8.40269i	−0.828490	+	0.717891i	−0.961968	−	0.273161i	$-0.911931\pi$
$137$	−9.69723	+	8.40269i	−0.828490	+	0.717891i	0.133478	+	0.991052i	$0.457385\pi$
$138$	5.91347	−	16.2685i	0.503388	−	1.38487i
$139$	−10.3198	+	16.0579i	−0.875312	+	1.36201i	0.0562443	+	0.998417i	$0.482087\pi$
$139$	−10.3198	+	16.0579i	−0.875312	+	1.36201i	−0.931557	+	0.363596i	$0.881549\pi$
$140$	−8.15780	+	2.02766i	−0.689460	+	0.171368i
$141$	0.663458	−	15.7676i	0.0558733	−	1.32787i
$142$	−14.0191	−	9.43106i	−1.17645	−	0.791437i
$143$	1.34784	−	9.37444i	0.112712	−	0.783930i
$144$	−11.0380	+	4.70760i	−0.919837	+	0.392300i
$145$	−16.7205	−	10.7456i	−1.38856	−	0.892373i
$146$	7.83173	−	2.12210i	0.648159	−	0.175627i
$147$	−5.06689	−	8.66476i	−0.417910	−	0.714657i
$148$	−13.3819	−	9.41636i	−1.09999	−	0.774020i
$149$	20.9494	−	3.01207i	1.71624	−	0.246758i	0.787190	−	0.616711i	$-0.211535\pi$
$149$	20.9494	−	3.01207i	1.71624	−	0.246758i	0.929051	+	0.369953i	$0.120626\pi$
$150$	−14.0240	+	19.0639i	−1.14506	+	1.55656i
$151$	2.05364	+	6.99407i	0.167123	+	0.569169i	0.999879	+	0.0155296i	$0.00494341\pi$
$151$	2.05364	+	6.99407i	0.167123	+	0.569169i	−0.832756	+	0.553640i	$0.813238\pi$
$152$	−2.41206	−	2.37175i	−0.195644	−	0.192374i
$153$	0.295838	−	0.106080i	0.0239171	−	0.00857609i
$154$	2.77994	+	4.53208i	0.224014	+	0.365206i
$155$	11.1087	−	7.13915i	0.892275	−	0.573430i
$156$	−7.74019	+	5.64306i	−0.619711	+	0.451806i
$157$	−1.89482	−	2.18674i	−0.151223	−	0.174521i	0.675083	−	0.737741i	$-0.264108\pi$
$157$	−1.89482	−	2.18674i	−0.151223	−	0.174521i	−0.826307	+	0.563221i	$0.809562\pi$
$158$	2.98262	−	0.365116i	0.237284	−	0.0290471i
$159$	14.2370	−	8.32539i	1.12907	−	0.660246i
$160$	18.6520	+	11.0127i	1.47457	+	0.870633i
$161$	4.19368	+	6.52549i	0.330508	+	0.514280i
$162$	12.5008	+	2.39379i	0.982155	+	0.188074i
$163$			16.6656i			1.30535i	0.757638	+	0.652675i	$0.226353\pi$
$163$			16.6656i			1.30535i	−0.757638	+	0.652675i	$0.773647\pi$
$164$	0.655810	−	1.92985i	0.0512102	−	0.150696i
$165$	21.5069	+	7.31028i	1.67431	+	0.569105i
$166$	−4.83912	−	5.82742i	−0.375589	−	0.452296i
$167$	−1.07072	−	7.44705i	−0.0828552	−	0.576270i	−0.988383	−	0.151983i	$-0.951434\pi$
$167$	−1.07072	−	7.44705i	−0.0828552	−	0.576270i	0.905528	−	0.424287i	$-0.139475\pi$
$168$	1.31905	−	5.21310i	0.101767	−	0.402199i
$169$	3.50598	−	4.04612i	0.269691	−	0.311240i
$170$	−0.470695	−	0.316651i	−0.0361007	−	0.0242861i
$171$	0.718077	+	3.51539i	0.0549127	+	0.268829i
$172$	0.766859	−	2.25663i	0.0584725	−	0.172067i
$173$	12.6483	+	5.77629i	0.961634	+	0.439163i	0.833455	−	0.552588i	$-0.186360\pi$
$173$	12.6483	+	5.77629i	0.961634	+	0.439163i	0.128179	+	0.991751i	$0.459087\pi$
$174$	11.1080	−	6.18650i	0.842098	−	0.468997i
$175$	−2.98788	−	10.1758i	−0.225862	−	0.769216i
$176$	3.08013	−	13.3494i	0.232174	−	1.00625i
$177$	0.821413	−	0.334143i	0.0617412	−	0.0251157i
$178$	7.87739	+	12.8424i	0.590436	+	0.962576i
$179$	9.61785	−	11.0996i	0.718872	−	0.829622i	−0.272299	−	0.962213i	$-0.587784\pi$
$179$	9.61785	−	11.0996i	0.718872	−	0.829622i	0.991171	+	0.132590i	$0.0423295\pi$
$180$	−9.89186	−	20.7359i	−0.737296	−	1.54556i
$181$	15.8396	+	18.2799i	1.17735	+	1.35873i	0.919760	+	0.392480i	$0.128383\pi$
$181$	15.8396	+	18.2799i	1.17735	+	1.35873i	0.257590	+	0.966254i	$0.417072\pi$
$182$	0.0900953	−	4.29149i	0.00667831	−	0.318107i
$183$	−7.22622	−	1.35121i	−0.534177	−	0.0998841i
$184$	4.08397	−	19.5661i	0.301074	−	1.44243i
$185$	16.9368	−	26.3542i	1.24522	−	1.93760i
$186$	0.673014	+	8.42047i	0.0493478	+	0.617419i
$187$	−0.101088	+	0.344275i	−0.00739231	+	0.0251759i
$188$	−1.83409	−	18.1305i	−0.133765	−	1.32230i
$189$	−4.24773	+	3.80627i	−0.308977	+	0.276865i
$190$	4.34299	−	4.80449i	0.315073	−	0.348555i
$191$	2.54748	−	2.93995i	0.184329	−	0.212727i	−0.656063	−	0.754706i	$-0.727779\pi$
$191$	2.54748	−	2.93995i	0.184329	−	0.212727i	0.840392	+	0.541979i	$0.182325\pi$
$192$	−11.8418	+	7.19527i	−0.854608	+	0.519274i
$193$	8.15733	−	17.8621i	0.587178	−	1.28574i	−0.349955	−	0.936766i	$-0.613803\pi$
$193$	8.15733	−	17.8621i	0.587178	−	1.28574i	0.937133	−	0.348973i	$-0.113470\pi$
$194$	−3.68548	−	1.16672i	−0.264602	−	0.0837655i
$195$	−11.4163	−	14.3524i	−0.817537	−	1.02780i
$196$	−7.21572	−	9.07020i	−0.515409	−	0.647871i
$197$	−5.10170	+	17.3748i	−0.363481	+	1.23790i	0.551420	+	0.834228i	$0.314086\pi$
$197$	−5.10170	+	17.3748i	−0.363481	+	1.23790i	−0.914902	+	0.403676i	$0.867732\pi$
$198$	−10.6154	+	9.92312i	−0.754407	+	0.705205i
$199$	24.0592	+	3.45918i	1.70551	+	0.245215i	0.925010	−	0.379943i	$-0.124056\pi$
$199$	24.0592	+	3.45918i	1.70551	+	0.245215i	0.780498	+	0.625158i	$0.214965\pi$
$200$	−12.8942	+	24.0946i	−0.911760	+	1.70374i
$201$	9.57830	+	10.4526i	0.675601	+	0.737267i
$202$	0.0230752	+	0.00381367i	0.00162357	+	0.000268329i
$203$	−0.810855	+	5.63962i	−0.0569109	+	0.395824i
$204$	0.320683	−	0.169882i	0.0224523	−	0.0118942i
$205$	3.74422	+	1.09940i	0.261507	+	0.0767855i
$206$	−16.9109	−	15.2865i	−1.17824	−	1.06506i
$207$	−15.1801	+	14.7992i	−1.05509	+	1.02861i
$208$	−7.91875	+	7.72223i	−0.549066	+	0.535440i
$209$	−3.72615	−	1.70168i	−0.257743	−	0.117707i
$210$	10.0779	+	2.10427i	0.695440	+	0.145208i
$211$	−9.95601	−	8.62694i	−0.685400	−	0.593903i	0.240963	−	0.970534i	$-0.422537\pi$
$211$	−9.95601	−	8.62694i	−0.685400	−	0.593903i	−0.926363	+	0.376632i	$0.877082\pi$
$212$	14.9032	−	11.8561i	1.02356	−	0.814282i
$213$	10.4460	+	17.8634i	0.715746	+	1.22398i
$214$	21.6020	−	5.85333i	1.47668	−	0.400126i
$215$	4.37823	+	1.28556i	0.298593	+	0.0876747i
$216$	14.6812	+	0.680669i	0.998927	+	0.0463137i
$217$	−3.18446	−	2.04653i	−0.216176	−	0.138928i
$218$	−1.96336	−	16.0386i	−0.132976	−	1.08627i
$219$	−9.76845	−	1.82657i	−0.660091	−	0.123428i
$220$	25.7830	+	4.81918i	1.73829	+	0.324909i
$221$	0.218927	−	0.189702i	0.0147266	−	0.0127607i
$222$	9.75096	+	17.5081i	0.654442	+	1.17507i
$223$	−21.7181	−	18.8189i	−1.45435	−	1.26020i	−0.905540	−	0.424260i	$-0.860534\pi$
$223$	−21.7181	−	18.8189i	−1.45435	−	1.26020i	−0.548813	−	0.835945i	$-0.684920\pi$
$224$	0.650494	−	6.17511i	0.0434629	−	0.412592i
$225$	25.6144	−	13.5669i	1.70763	−	0.904463i
$226$	−2.75754	−	10.1769i	−0.183429	−	0.676954i
$227$	−6.67641	+	1.96037i	−0.443129	+	0.130114i	−0.495683	−	0.868504i	$-0.665082\pi$
$227$	−6.67641	+	1.96037i	−0.443129	+	0.130114i	0.0525538	+	0.998618i	$0.483264\pi$
$228$	1.39869	+	3.89981i	0.0926304	+	0.258271i
$229$	−4.12923	+	9.04176i	−0.272867	+	0.597496i	−0.995608	−	0.0936235i	$-0.970155\pi$
$229$	−4.12923	+	9.04176i	−0.272867	+	0.597496i	0.722740	+	0.691120i	$0.242882\pi$
$230$	37.7553	+	6.23985i	2.48951	+	0.411444i
$231$	−0.654923	−	6.47864i	−0.0430907	−	0.426263i
$232$	11.6786	−	8.89707i	0.766740	−	0.584121i
$233$	−22.4434	−	19.4473i	−1.47032	−	1.27404i	−0.886983	−	0.461803i	$-0.847203\pi$
$233$	−22.4434	−	19.4473i	−1.47032	−	1.27404i	−0.583333	−	0.812233i	$-0.698252\pi$
$234$	11.5411	−	2.10613i	0.754463	−	0.137682i
$235$	34.5335	−	4.96517i	2.25272	−	0.323892i
$236$	0.883885	−	0.516954i	0.0575360	−	0.0336508i
$237$	−3.48443	−	1.18437i	−0.226338	−	0.0769330i
$238$	−0.0265170	+	0.160446i	−0.00171884	+	0.0104001i
$239$	24.8387			1.60668			0.803340	−	0.595520i	$-0.203054\pi$
$239$	24.8387			1.60668			0.803340	+	0.595520i	$0.203054\pi$
$240$	−14.7150	−	22.0735i	−0.949849	−	1.42484i
$241$	2.24344	−	1.44177i	0.144513	−	0.0928728i	−0.466386	−	0.884581i	$-0.654444\pi$
$241$	2.24344	−	1.44177i	0.144513	−	0.0928728i	0.610899	+	0.791708i	$0.290808\pi$
$242$	−0.125594	−	1.02597i	−0.00807348	−	0.0659518i
$243$	−12.5159	−	9.29261i	−0.802895	−	0.596121i
$244$	−8.48126	−	0.356267i	−0.542957	−	0.0228076i
$245$	16.7702	−	14.5314i	1.07141	−	0.928378i
$246$	−1.75035	+	1.77985i	−0.111598	+	0.113479i
$247$	1.78797	+	2.78214i	0.113766	+	0.177024i
$248$	2.15364	+	9.51341i	0.136756	+	0.604102i
$249$	2.23713	+	9.00329i	0.141772	+	0.570560i
$250$	−22.7380	−	10.9666i	−1.43808	−	0.693589i
$251$	−2.16211	+	0.634853i	−0.136471	+	0.0400715i	−0.349255	−	0.937028i	$-0.613565\pi$
$251$	−2.16211	+	0.634853i	−0.136471	+	0.0400715i	0.212784	+	0.977099i	$0.431747\pi$
$252$	−4.22908	+	5.04870i	−0.266407	+	0.318038i
$253$	−3.44458	−	23.9575i	−0.216559	−	1.50620i
$254$	−9.07935	−	4.37900i	−0.569689	−	0.274763i
$255$	0.350728	+	0.599769i	0.0219634	+	0.0375590i
$256$	−12.3514	+	10.1707i	−0.771964	+	0.635666i
$257$	−3.09501	+	4.81593i	−0.193061	+	0.300409i	−0.924266	−	0.381749i	$-0.875322\pi$
$257$	−3.09501	+	4.81593i	−0.193061	+	0.300409i	0.731205	+	0.682158i	$0.238958\pi$
$258$	−2.04674	+	2.08124i	−0.127425	+	0.129572i
$259$	−8.88899	−	1.27804i	−0.552335	−	0.0794138i
$260$	−15.4078	−	14.5269i	−0.955550	−	0.900920i
$261$	−15.5453	+	0.913479i	−0.962232	+	0.0565429i
$262$	−12.5358	−	29.0480i	−0.774462	−	1.79459i
$263$	17.0429	+	10.9528i	1.05091	+	0.675379i	0.947662	−	0.319277i	$-0.103440\pi$
$263$	17.0429	+	10.9528i	1.05091	+	0.675379i	0.103248	+	0.994656i	$0.467076\pi$
$264$	−10.5013	+	13.0868i	−0.646310	+	0.805436i
$265$	23.8765	+	27.5550i	1.46672	+	1.69269i
$266$	−1.76999	−	0.560329i	−0.108525	−	0.0343560i
$267$	−1.85583	−	18.3583i	−0.113575	−	1.12351i
$268$	12.6659	+	10.3718i	0.773694	+	0.633560i
$269$			14.7245i			0.897770i	0.893590	+	0.448885i	$0.148179\pi$
$269$			14.7245i			0.897770i	−0.893590	+	0.448885i	$0.851821\pi$
$270$	−0.122358	+	28.1376i	−0.00744648	+	1.71240i
$271$	−9.63792	+	8.35130i	−0.585462	+	0.507306i	−0.896472	−	0.443101i	$-0.853878\pi$
$271$	−9.63792	+	8.35130i	−0.585462	+	0.507306i	0.311010	+	0.950407i	$0.399333\pi$
$272$	0.338590	−	0.246889i	0.0205300	−	0.0149698i
$273$	−2.38300	+	4.68603i	−0.144226	+	0.283611i
$274$	16.6609	−	7.19007i	1.00652	−	0.434368i
$275$	−4.70951	+	32.7553i	−0.283994	+	1.97522i
$276$	−14.9167	+	19.4103i	−0.897881	+	1.16836i
$277$	−2.23159	+	15.5210i	−0.134083	+	0.932568i	0.806071	+	0.591819i	$0.201590\pi$
$277$	−2.23159	+	15.5210i	−0.134083	+	0.932568i	−0.940154	+	0.340749i	$0.889319\pi$
$278$	20.7677	−	17.2456i	1.24556	−	1.03432i
$279$	3.73835	−	9.64679i	0.223809	−	0.577539i
$280$	11.8643	+	0.748116i	0.709030	+	0.0447085i
$281$	0.643837	−	0.294031i	0.0384081	−	0.0175404i	−0.396118	−	0.918199i	$-0.629643\pi$
$281$	0.643837	−	0.294031i	0.0384081	−	0.0175404i	0.434526	+	0.900659i	$0.356916\pi$
$282$	−7.62451	+	20.9758i	−0.454033	+	1.24909i
$283$	−0.163224	+	0.0234681i	−0.00970268	+	0.00139503i	−0.147164	−	0.989112i	$-0.547015\pi$
$283$	−0.163224	+	0.0234681i	−0.00970268	+	0.00139503i	0.137462	+	0.990507i	$0.456106\pi$
$284$	14.8760	+	18.6992i	0.882730	+	1.10960i
$285$	−7.34737	+	2.98884i	−0.435221	+	0.177044i
$286$	−5.81848	+	12.0640i	−0.344054	+	0.713357i
$287$	−0.159199	−	1.10725i	−0.00939723	−	0.0653592i
$288$	16.8915	−	1.63580i	0.995344	−	0.0963903i
$289$	14.2921	−	9.18496i	0.840710	−	0.540292i
$290$	17.9572	+	21.6246i	1.05448	+	1.26984i
$291$	3.44463	+	3.24815i	0.201928	+	0.190410i
$292$	−11.4650	−	0.481604i	−0.670940	−	0.0281837i
$293$	−21.9059	+	10.0041i	−1.27976	+	0.584445i	−0.935133	−	0.354297i	$-0.884720\pi$
$293$	−21.9059	+	10.0041i	−1.27976	+	0.584445i	−0.344622	+	0.938741i	$0.611993\pi$
$294$	3.13320	+	13.8451i	0.182732	+	0.807461i
$295$	1.05988	+	1.64920i	0.0617085	+	0.0960203i
$296$	14.0233	+	18.4075i	0.815086	+	1.06991i
$297$	16.9903	−	5.29748i	0.985878	−	0.307391i
$298$	−29.5310	−	4.88061i	−1.71068	−	0.282726i
$299$	−8.11756	+	17.7750i	−0.469451	+	1.02795i
$300$	27.0451	−	19.7175i	1.56145	−	1.13839i
$301$	−0.186156	−	1.29475i	−0.0107299	−	0.0746280i
$302$	0.216372	−	10.3064i	0.0124508	−	0.593067i
$303$	−0.0234250	−	0.0164858i	−0.00134573	−	0.000947086i
$304$	2.23979	+	4.22727i	0.128461	+	0.242451i
$305$		−	16.2520i		−	0.930588i
$306$	−0.444146	+	0.0167540i	−0.0253902	+	0.000957762i
$307$	5.97346	+	2.72799i	0.340923	+	0.155694i	0.578517	−	0.815670i	$-0.303632\pi$
$307$	5.97346	+	2.72799i	0.340923	+	0.155694i	−0.237594	+	0.971365i	$0.576359\pi$
$308$	−1.81370	−	7.29700i	−0.103345	−	0.415785i
$309$	10.5201	+	25.8613i	0.598469	+	1.47120i
$310$	−18.0247	+	4.88401i	−1.02373	+	0.277393i
$311$	−19.0585	+	5.59607i	−1.08071	+	0.317324i	−0.773161	−	0.634209i	$-0.781326\pi$
$311$	−19.0585	+	5.59607i	−1.08071	+	0.317324i	−0.307545	+	0.951533i	$0.599508\pi$
$312$	12.8444	−	4.30466i	0.727172	−	0.243703i
$313$	11.5344	−	13.3114i	0.651960	−	0.752402i	−0.329482	−	0.944162i	$-0.606874\pi$
$313$	11.5344	−	13.3114i	0.651960	−	0.752402i	0.981442	+	0.191760i	$0.0614195\pi$
$314$	1.62137	+	3.75706i	0.0914993	+	0.212023i
$315$	−9.99723	−	7.68394i	−0.563280	−	0.432941i
$316$	−4.17720	−	0.780775i	−0.234986	−	0.0439220i
$317$	4.78368	−	16.2917i	0.268678	−	0.915034i	−0.709050	−	0.705158i	$-0.750876\pi$
$317$	4.78368	−	16.2917i	0.268678	−	0.915034i	0.977728	−	0.209876i	$-0.0673060\pi$
$318$	−22.7488	+	5.14815i	−1.27569	+	0.288694i
$319$	9.61173	−	14.9561i	0.538153	−	0.837383i
$320$	−20.4474	−	22.8092i	−1.14305	−	1.27507i
$321$	−26.9440	−	5.03817i	−1.50387	−	0.281203i
$322$	−2.86896	−	10.5881i	−0.159881	−	0.590049i
$323$	−0.0520487	−	0.113971i	−0.00289607	−	0.00634151i
$324$	−15.8327	−	8.56309i	−0.879593	−	0.475727i
$325$	17.4957	−	20.1911i	0.970488	−	1.12000i
$326$	7.11326	−	22.4697i	0.393967	−	1.24448i
$327$	−6.36878	+	18.7370i	−0.352194	+	1.03616i
$328$	−1.70791	+	2.32204i	−0.0943037	+	0.128213i
$329$	−5.40710	−	8.41361i	−0.298103	−	0.463857i
$330$	−25.8769	−	19.0359i	−1.42448	−	1.04789i
$331$	−2.29728	+	7.82383i	−0.126270	+	0.430037i	−0.998225	−	0.0595489i	$-0.981034\pi$
$331$	−2.29728	+	7.82383i	−0.126270	+	0.430037i	0.871955	+	0.489586i	$0.162852\pi$
$332$	4.03714	+	9.92237i	0.221567	+	0.544561i
$333$	−1.43980	−	24.5020i	−0.0789003	−	1.34270i
$334$	−1.73495	+	10.4976i	−0.0949324	+	0.574404i
$335$	−18.8220	+	25.0614i	−1.02836	+	1.36925i
$336$	−4.00350	+	6.46565i	−0.218409	+	0.352730i
$337$	0.266145	−	1.85108i	0.0144979	−	0.100835i	−0.981288	−	0.192547i	$-0.938325\pi$
$337$	0.266145	−	1.85108i	0.0144979	−	0.100835i	0.995786	+	0.0917127i	$0.0292341\pi$
$338$	−6.45398	+	3.95881i	−0.351050	+	0.215331i
$339$	−2.37352	+	12.6935i	−0.128912	+	0.689417i
$340$	0.499468	+	0.627834i	0.0270875	+	0.0340491i
$341$	6.38584	+	9.93656i	0.345812	+	0.538095i
$342$	0.532293	−	5.04618i	0.0287831	−	0.272866i
$343$	−12.7755	−	5.83436i	−0.689811	−	0.315026i
$344$	−1.99711	+	2.71523i	−0.107677	+	0.146395i
$345$	−38.3276	−	26.9738i	−2.06349	−	1.45222i
$346$	−14.5878	−	13.1866i	−0.784247	−	0.708915i
$347$	0.192543	+	0.421610i	0.0103362	+	0.0226332i	0.914730	−	0.404066i	$-0.132403\pi$
$347$	0.192543	+	0.421610i	0.0103362	+	0.0226332i	−0.904393	+	0.426699i	$0.859676\pi$
$348$	−17.6171	+	3.59989i	−0.944377	+	0.192974i
$349$	14.1998	+	4.16944i	0.760098	+	0.223185i	0.638739	−	0.769424i	$-0.279457\pi$
$349$	14.1998	+	4.16944i	0.760098	+	0.223185i	0.121359	+	0.992609i	$0.461275\pi$
$350$	−0.314803	+	14.9949i	−0.0168269	+	0.801514i
$351$	−13.8517	−	3.81803i	−0.739351	−	0.203791i
$352$	−9.85068	+	16.6839i	−0.525043	+	0.889255i
$353$	−2.34989	+	8.00297i	−0.125072	+	0.425955i	−0.998093	−	0.0617267i	$-0.980339\pi$
$353$	−2.34989	+	8.00297i	−0.125072	+	0.425955i	0.873021	+	0.487682i	$0.162157\pi$
$354$	−1.25010	+	0.0999156i	−0.0664422	+	0.00531046i
$355$	−34.5735	+	29.9582i	−1.83497	+	1.59001i
$356$	−5.13940	−	20.6772i	−0.272388	−	1.09589i
$357$	0.114628	−	0.162878i	0.00606678	−	0.00862042i
$358$	−17.7050	+	10.8601i	−0.935738	+	0.573973i
$359$	15.2406	−	4.47503i	0.804366	−	0.236183i	0.146395	−	0.989226i	$-0.453233\pi$
$359$	15.2406	−	4.47503i	0.804366	−	0.236183i	0.657971	+	0.753043i	$0.271415\pi$
$360$	4.48631	+	32.1796i	0.236449	+	1.69601i
$361$	−16.8579	+	4.94993i	−0.887258	+	0.260522i
$362$	−13.5537	−	31.4069i	−0.712369	−	1.65071i
$363$	−0.407402	+	1.19858i	−0.0213831	+	0.0629093i
$364$	−1.95318	+	5.74762i	−0.102375	+	0.301257i
$365$		−	21.9696i		−	1.14994i
$366$	9.16614	+	4.90610i	0.479122	+	0.256446i
$367$	5.18012	+	4.48860i	0.270400	+	0.234303i	0.779497	−	0.626406i	$-0.215475\pi$
$367$	5.18012	+	4.48860i	0.270400	+	0.234303i	−0.509096	+	0.860709i	$0.670020\pi$
$368$	−13.8576	+	24.6372i	−0.722375	+	1.28430i
$369$	2.87793	−	1.03196i	0.149819	−	0.0537215i
$370$	−34.0840	+	28.3035i	−1.77194	+	1.47143i
$371$	4.34186	−	9.50734i	0.225418	−	0.493597i
$372$	2.68665	−	11.6403i	0.139296	−	0.603521i
$373$	−29.1865			−1.51122			−0.755610	−	0.655022i	$-0.772659\pi$
$373$	−29.1865			−1.51122			−0.755610	+	0.655022i	$0.772659\pi$
$374$	0.283239	−	0.421028i	0.0146459	−	0.0217708i
$375$	19.2468	+	24.1968i	0.993900	+	1.24952i
$376$	−5.26565	+	25.2275i	−0.271555	+	1.30101i
$377$	−13.0562	+	5.96256i	−0.672428	+	0.307087i
$378$	7.35167	−	3.31883i	0.378129	−	0.170702i
$379$	24.6074	−	21.3224i	1.26400	−	1.09526i	0.272909	−	0.962040i	$-0.412014\pi$
$379$	24.6074	−	21.3224i	1.26400	−	1.09526i	0.991087	−	0.133219i	$-0.0425314\pi$
$380$	−7.90617	+	4.62405i	−0.405578	+	0.237209i
$381$	7.68530	+	9.66186i	0.393730	+	0.494992i
$382$	−4.68952	+	2.87651i	−0.239937	+	0.147175i
$383$	−3.30561	−	22.9911i	−0.168909	−	1.17479i	−0.881144	−	0.472847i	$-0.843226\pi$
$383$	−3.30561	−	22.9911i	−0.168909	−	1.17479i	0.712235	−	0.701941i	$-0.247683\pi$
$384$	19.0370	−	4.64678i	0.971478	−	0.237130i
$385$	13.8123	−	4.05567i	0.703942	−	0.206696i
$386$	−18.6222	+	20.6011i	−0.947845	+	1.04857i
$387$	3.36525	−	1.20670i	0.171065	−	0.0613399i
$388$	4.47102	+	3.14609i	0.226982	+	0.159719i
$389$	−27.2159	+	12.4291i	−1.37990	+	0.630179i	−0.960668	−	0.277700i	$-0.910428\pi$
$389$	−27.2159	+	12.4291i	−1.37990	+	0.630179i	−0.419232	+	0.907879i	$0.637701\pi$
$390$	9.26624	+	24.2236i	0.469214	+	1.22661i
$391$	0.400247	−	0.622796i	0.0202413	−	0.0314961i
$392$	5.85735	+	15.3089i	0.295841	+	0.773215i
$393$	−1.62896	+	38.7136i	−0.0821703	+	1.95284i
$394$	14.2944	−	21.2483i	0.720143	−	1.07048i
$395$	1.15786	−	8.05310i	0.0582583	−	0.405196i
$396$	18.5479	−	8.84809i	0.932065	−	0.444633i
$397$	−1.10869	−	0.712515i	−0.0556438	−	0.0357601i	0.512523	−	0.858673i	$-0.328711\pi$
$397$	−1.10869	−	0.712515i	−0.0556438	−	0.0357601i	−0.568167	+	0.822913i	$0.692347\pi$
$398$	−30.9617	−	14.9329i	−1.55197	−	0.748519i
$399$	1.65432	+	1.55996i	0.0828195	+	0.0780957i
$400$	27.6690	−	26.9823i	1.38345	−	1.34912i
$401$			23.2871i			1.16290i	0.813582	+	0.581450i	$0.197514\pi$
$401$			23.2871i			1.16290i	−0.813582	+	0.581450i	$0.802486\pi$
$402$	−8.45271	−	18.1811i	−0.421583	−	0.906790i
$403$		−	9.53601i		−	0.475023i
$404$	−0.0294838	−	0.0149909i	−0.00146687	−	0.000745824i
$405$	15.1077	−	30.9736i	0.750710	−	1.53909i
$406$	3.50037	−	7.25762i	0.173720	−	0.360190i
$407$	23.5734	+	15.1497i	1.16849	+	0.750942i
$408$	−0.504876	+	0.0921717i	−0.0249951	+	0.00456318i
$409$	−3.99811	+	27.8074i	−0.197694	+	1.37499i	0.613261	+	0.789880i	$0.289857\pi$
$409$	−3.99811	+	27.8074i	−0.197694	+	1.37499i	−0.810955	+	0.585109i	$0.801052\pi$
$410$	−4.57895	−	3.08040i	−0.226138	−	0.152130i
$411$	−22.2048	−	0.934315i	−1.09528	−	0.0460864i
$412$	16.2757	+	27.8282i	0.801848	+	1.37099i
$413$	0.303828	−	0.472765i	0.0149504	−	0.0232633i
$414$	26.7835	−	13.4740i	1.31633	−	0.662212i
$415$	−18.6556	+	8.51974i	−0.915769	+	0.418218i
$416$	13.9726	−	7.03172i	0.685064	−	0.344758i
$417$	−32.0858	+	7.97266i	−1.57125	+	0.390423i
$418$	4.29753	+	3.88472i	0.210199	+	0.190008i
$419$	−14.7912	+	4.34307i	−0.722595	+	0.212173i	−0.622294	−	0.782784i	$-0.713799\pi$
$419$	−14.7912	+	4.34307i	−0.722595	+	0.212173i	−0.100302	+	0.994957i	$0.531981\pi$
$420$	−12.6895	−	7.13858i	−0.619185	−	0.348327i
$421$	−0.992746	−	6.90470i	−0.0483835	−	0.336514i	−0.999608	−	0.0280136i	$-0.991082\pi$
$421$	−0.992746	−	6.90470i	−0.0483835	−	0.336514i	0.951224	−	0.308501i	$-0.0998273\pi$
$422$	9.74118	+	15.8809i	0.474193	+	0.773068i
$423$	19.5724	−	19.0813i	0.951643	−	0.927764i
$424$	−25.1540	+	9.62418i	−1.22158	+	0.467391i
$425$	−0.764956	+	0.662838i	−0.0371058	+	0.0321524i
$426$	−6.45945	−	28.5432i	−0.312962	−	1.38292i
$427$	−4.23784	+	1.93536i	−0.205084	+	0.0936585i
$428$	−31.6236	−	1.32839i	−1.52858	−	0.0642103i
$429$	12.8380	−	10.2116i	0.619822	−	0.493023i
$430$	−5.35431	−	3.60201i	−0.258208	−	0.173704i
$431$	32.8919			1.58435			0.792175	−	0.610295i	$-0.208949\pi$
$431$	32.8919			1.58435			0.792175	+	0.610295i	$0.208949\pi$
$432$	−19.5036	−	7.18399i	−0.938367	−	0.345640i
$433$	−2.78891	+	6.10687i	−0.134027	+	0.293478i	−0.964732	−	0.263235i	$-0.915210\pi$
$433$	−2.78891	+	6.10687i	−0.134027	+	0.293478i	0.830705	+	0.556713i	$0.187938\pi$
$434$	3.42000	+	4.11847i	0.164165	+	0.197693i
$435$	−8.30162	−	33.4097i	−0.398032	−	1.60187i
$436$	−4.19851	+	22.4623i	−0.201072	+	1.07575i
$437$	6.38745	+	5.53475i	0.305553	+	0.264763i
$438$	12.3909	+	6.63211i	0.592058	+	0.316894i
$439$			9.99019i			0.476806i	0.971166	+	0.238403i	$0.0766238\pi$
$439$			9.99019i			0.476806i	−0.971166	+	0.238403i	$0.923376\pi$
$440$	−32.7054	−	17.5023i	−1.55917	−	0.834390i
$441$	3.91108	−	16.9398i	0.186242	−	0.806658i
$442$	−0.376141	+	0.162325i	−0.0178912	+	0.00772101i
$443$	14.2089	−	4.17212i	0.675087	−	0.198223i	0.0738199	−	0.997272i	$-0.476481\pi$
$443$	14.2089	−	4.17212i	0.675087	−	0.198223i	0.601267	+	0.799048i	$0.294663\pi$
$444$	−5.67402	−	27.7675i	−0.269277	−	1.31779i
$445$	39.1394	−	11.4924i	1.85539	−	0.544791i
$446$	21.2495	+	34.6427i	1.00619	+	1.64038i
$447$	29.9787	+	21.0981i	1.41794	+	0.997904i
$448$	−3.51272	+	8.04804i	−0.165960	+	0.380234i
$449$	6.10251	−	5.28785i	0.287995	−	0.249549i	−0.498866	−	0.866679i	$-0.666250\pi$
$449$	6.10251	−	5.28785i	0.287995	−	0.249549i	0.786861	+	0.617130i	$0.211705\pi$
$450$	−40.3257	+	7.35904i	−1.90097	+	0.346908i
$451$	−0.983393	+	3.34913i	−0.0463062	+	0.157704i
$452$	−0.625815	+	14.8981i	−0.0294359	+	0.700747i
$453$	−5.72300	+	11.2539i	−0.268890	+	0.528755i
$454$	9.83831	+	0.206545i	0.461735	+	0.00969363i
$455$	−11.1513	−	3.27431i	−0.522781	−	0.153502i
$456$	−0.221275	−	5.85497i	−0.0103622	−	0.274184i
$457$	5.89333	+	12.9046i	0.275678	+	0.603651i	0.995937	−	0.0900544i	$-0.0287041\pi$
$457$	5.89333	+	12.9046i	0.275678	+	0.603651i	−0.720259	+	0.693706i	$0.755977\pi$
$458$	9.42654	−	10.4282i	0.440473	−	0.487280i
$459$	0.498855	+	0.217861i	0.0232846	+	0.0101689i
$460$	−48.2408	−	24.5278i	−2.24924	−	1.14362i
$461$	31.9918	+	14.6102i	1.49001	+	0.680464i	0.983356	−	0.181687i	$-0.0581558\pi$
$461$	31.9918	+	14.6102i	1.49001	+	0.680464i	0.506652	+	0.862151i	$0.330883\pi$
$462$	−1.88223	+	9.01447i	−0.0875691	+	0.419391i
$463$	−13.4460	−	20.9224i	−0.624888	−	0.972345i	−0.998989	−	0.0449572i	$-0.985685\pi$
$463$	−13.4460	−	20.9224i	−0.624888	−	0.972345i	0.374100	−	0.927388i	$-0.377952\pi$
$464$	−19.5434	+	7.01090i	−0.907279	+	0.325473i
$465$	22.4820	+	4.20385i	1.04258	+	0.194949i
$466$	21.9591	+	35.7995i	1.01724	+	1.65838i
$467$	4.50608	−	31.3405i	0.208516	−	1.45026i	−0.569485	−	0.822002i	$-0.692857\pi$
$467$	4.50608	−	31.3405i	0.208516	−	1.45026i	0.778002	−	0.628262i	$-0.216233\pi$
$468$	−16.4594	−	2.08637i	−0.760835	−	0.0964427i
$469$	8.77636	+	1.92358i	0.405255	+	0.0888225i
$470$	−48.6796	−	8.04533i	−2.24542	−	0.371104i
$471$	0.210690	−	5.00721i	0.00970806	−	0.230720i
$472$	−1.41236	+	0.319729i	−0.0650091	+	0.0147167i
$473$	−1.14991	+	3.91624i	−0.0528730	+	0.180069i
$474$	4.19242	+	3.08408i	0.192564	+	0.141656i
$475$	−6.24738	−	9.72111i	−0.286649	−	0.446035i
$476$	0.104234	−	0.205005i	0.00477755	−	0.00939640i
$477$	27.8337	+	6.42627i	1.27442	+	0.294239i
$478$	−33.4892	−	10.6017i	−1.53176	−	0.484912i
$479$	−3.59324	+	4.14682i	−0.164179	+	0.189473i	−0.831878	−	0.554959i	$-0.812734\pi$
$479$	−3.59324	+	4.14682i	−0.164179	+	0.189473i	0.667699	+	0.744432i	$0.267279\pi$
$480$	10.4183	+	36.0416i	0.475527	+	1.64507i
$481$	−9.39799	−	20.5787i	−0.428511	−	0.938309i
$482$	−3.64014	+	0.986341i	−0.165804	+	0.0449266i
$483$	−2.46942	+	13.2064i	−0.112362	+	0.600911i
$484$	−0.268573	+	1.43689i	−0.0122079	+	0.0653130i
$485$	−5.65876	+	8.80520i	−0.256951	+	0.399823i
$486$	12.9084	+	17.8710i	0.585539	+	0.810644i
$487$	9.44238	−	32.1578i	0.427875	−	1.45721i	−0.410372	−	0.911918i	$-0.634601\pi$
$487$	9.44238	−	32.1578i	0.427875	−	1.45721i	0.838247	−	0.545291i	$-0.183581\pi$
$488$	11.2829	+	4.10034i	0.510754	+	0.185614i
$489$	−19.8034	+	21.0012i	−0.895540	+	0.949709i
$490$	−28.8130	+	12.4343i	−1.30164	+	0.561726i
$491$	11.9747	−	13.8195i	0.540409	−	0.623665i	−0.418213	−	0.908349i	$-0.637343\pi$
$491$	11.9747	−	13.8195i	0.540409	−	0.623665i	0.958621	+	0.284684i	$0.0918888\pi$
$492$	3.11963	−	1.65263i	0.140644	−	0.0745061i
$493$	0.521756	−	0.153202i	0.0234987	−	0.00689985i
$494$	−1.22318	−	4.51422i	−0.0550336	−	0.203104i
$495$	18.4154	+	34.7684i	0.827712	+	1.56272i
$496$	1.15687	−	13.7458i	0.0519448	−	0.617206i
$497$	11.9290	+	5.44778i	0.535088	+	0.244367i
$498$	0.826565	−	13.0937i	0.0370393	−	0.586742i
$499$		−	9.14848i		−	0.409542i	−0.978810	−	0.204771i	$-0.934355\pi$
$499$		−	9.14848i		−	0.409542i	0.978810	−	0.204771i	$-0.0656450\pi$
$500$	25.9761	+	24.4910i	1.16169	+	1.09527i
$501$	7.49990	−	10.6568i	0.335071	−	0.476109i
$502$	3.18607	+	0.0668881i	0.142201	+	0.00298536i
$503$	2.73169	+	18.9994i	0.121800	+	0.847139i	0.955515	+	0.294943i	$0.0953008\pi$
$503$	2.73169	+	18.9994i	0.121800	+	0.847139i	−0.833714	+	0.552196i	$0.813790\pi$
$504$	7.85683	−	5.00192i	0.349971	−	0.222803i
$505$	0.0263063	−	0.0576027i	0.00117061	−	0.00256328i
$506$	−5.58143	+	33.7714i	−0.248125	+	1.50132i
$507$	9.22601	−	0.932652i	0.409741	−	0.0414205i
$508$	10.3723	+	9.77933i	0.460198	+	0.433888i
$509$	18.2383	+	28.3793i	0.808397	+	1.25789i	0.962890	+	0.269896i	$0.0869893\pi$
$509$	18.2383	+	28.3793i	0.808397	+	1.25789i	−0.154493	+	0.987994i	$0.549374\pi$
$510$	−0.216879	−	0.958347i	−0.00960355	−	0.0424363i
$511$	−5.72874	+	2.61623i	−0.253425	+	0.115735i
$512$	20.9941	−	8.44088i	0.927816	−	0.373038i
$513$	−3.27238	+	5.28322i	−0.144479	+	0.233260i
$514$	6.22844	−	5.17213i	0.274725	−	0.228133i
$515$	−51.9234	+	33.3691i	−2.28802	+	1.47042i
$516$	3.64787	−	1.93247i	0.160589	−	0.0850721i
$517$	4.44125	+	30.8896i	0.195326	+	1.35852i
$518$	11.4392	+	5.51717i	0.502611	+	0.242410i
$519$	9.07499	+	22.3088i	0.398348	+	0.979246i
$520$	14.5734	+	26.1625i	0.639084	+	1.14730i
$521$	14.0391	−	2.01852i	0.615065	−	0.0884330i	0.172261	−	0.985051i	$-0.444893\pi$
$521$	14.0391	−	2.01852i	0.615065	−	0.0884330i	0.442804	+	0.896618i	$0.353984\pi$
$522$	21.3491	+	5.40350i	0.934427	+	0.236505i
$523$	34.0683	−	15.5585i	1.48970	−	0.680324i	0.506399	−	0.862300i	$-0.330976\pi$
$523$	34.0683	−	15.5585i	1.48970	−	0.680324i	0.983303	+	0.181976i	$0.0582492\pi$
$524$	4.50318	+	44.5150i	0.196722	+	1.94465i
$525$	8.32648	−	16.3735i	0.363397	−	0.714598i
$526$	−18.3035	−	22.0416i	−0.798068	−	0.961059i
$527$	−0.0514153	+	0.357601i	−0.00223969	+	0.0155774i
$528$	19.7443	−	13.1623i	0.859260	−	0.572815i
$529$	−3.83383	+	26.6648i	−0.166688	+	1.15934i
$530$	−20.4308	−	47.3425i	−0.887457	−	2.05643i
$531$	1.43216	+	0.554996i	0.0621506	+	0.0240848i
$532$	2.14726	+	1.51095i	0.0930954	+	0.0655078i
$533$	2.12974	−	1.84543i	0.0922492	−	0.0799343i
$534$	−5.33358	+	25.5439i	−0.230807	+	1.10539i
$535$		−	60.5980i		−	2.61988i
$536$	−12.6501	−	19.3901i	−0.546400	−	0.837524i
$537$	25.3094	−	2.55851i	1.09218	−	0.110408i
$538$	6.28477	−	19.8526i	0.270956	−	0.855905i
$539$	12.9981	+	15.0006i	0.559867	+	0.646121i
$540$	12.1748	−	37.8847i	0.523918	−	1.63030i
$541$	−21.2770	−	13.6739i	−0.914770	−	0.587887i	−0.00363450	−	0.999993i	$-0.501157\pi$
$541$	−21.2770	−	13.6739i	−0.914770	−	0.587887i	−0.911136	+	0.412106i	$0.864793\pi$
$542$	16.5590	−	7.14609i	0.711270	−	0.306951i
$543$	−1.76125	+	41.8574i	−0.0755823	+	1.79627i
$544$	−0.561887	+	0.188354i	−0.0240907	+	0.00807561i
$545$	−43.3045	−	6.22624i	−1.85496	−	0.266703i
$546$	5.21303	−	5.30089i	0.223097	−	0.226857i
$547$	17.4362	−	27.1313i	0.745519	−	1.16005i	−0.236567	−	0.971615i	$-0.576022\pi$
$547$	17.4362	−	27.1313i	0.745519	−	1.16005i	0.982086	−	0.188434i	$-0.0603413\pi$
$548$	−25.5322	+	2.58286i	−1.09068	+	0.110334i
$549$	−7.50055	−	10.2895i	−0.320115	−	0.439145i
$550$	20.3304	−	42.1528i	0.866891	−	1.79740i
$551$	0.883500	+	6.14488i	0.0376384	+	0.261781i
$552$	28.3965	−	19.8035i	1.20863	−	0.842892i
$553$	−2.23779	+	0.657075i	−0.0951606	+	0.0279417i
$554$	9.63351	−	19.9740i	0.409289	−	0.848613i
$555$	52.6593	−	13.0847i	2.23526	−	0.555416i
$556$	−35.3612	+	14.3875i	−1.49965	+	0.610167i
$557$	−11.2082	−	17.4404i	−0.474908	−	0.738972i	0.518315	−	0.855190i	$-0.326559\pi$
$557$	−11.2082	−	17.4404i	−0.474908	−	0.738972i	−0.993224	+	0.116218i	$0.962923\pi$
$558$	−9.15777	+	11.4108i	−0.387679	+	0.483059i
$559$	2.49037	−	2.15792i	0.105331	−	0.0912701i
$560$	−15.6770	−	6.07263i	−0.662473	−	0.256616i
$561$	−0.536482	+	0.313719i	−0.0226503	+	0.0132452i
$562$	−0.993563	+	0.121627i	−0.0419109	+	0.00513052i
$563$	−30.9028	+	19.8600i	−1.30240	+	0.836999i	−0.993471	−	0.114087i	$-0.963606\pi$
$563$	−30.9028	+	19.8600i	−1.30240	+	0.836999i	−0.308926	+	0.951086i	$0.599969\pi$
$564$	19.2328	−	25.0266i	0.809847	−	1.05381i
$565$	−28.5481			−1.20103
$566$	0.230087	+	0.0380267i	0.00967126	+	0.00159838i
$567$	−9.87571	−	0.250997i	−0.414741	−	0.0105409i
$568$	−12.0756	−	31.5610i	−0.506680	−	1.32427i
$569$	−15.9177	+	2.28862i	−0.667305	+	0.0959440i	−0.467639	−	0.883920i	$-0.654895\pi$
$569$	−15.9177	+	2.28862i	−0.667305	+	0.0959440i	−0.199667	+	0.979864i	$0.563986\pi$
$570$	11.1819	−	0.893725i	0.468359	−	0.0374340i
$571$	0.0597541	+	0.0517772i	0.00250063	+	0.00216681i	0.656110	−	0.754665i	$-0.272201\pi$
$571$	0.0597541	+	0.0517772i	0.00250063	+	0.00216681i	−0.653610	+	0.756832i	$0.726746\pi$
$572$	12.9940	−	13.7820i	0.543308	−	0.576253i
$573$	6.70371	−	0.677674i	0.280051	−	0.0283102i
$574$	−0.257959	+	1.56082i	−0.0107670	+	0.0651475i
$575$	28.3636	−	62.1077i	1.18285	−	2.59007i
$576$	−23.4725	−	5.00421i	−0.978020	−	0.208509i
$577$	19.5148	−	5.73007i	0.812413	−	0.238546i	0.150967	−	0.988539i	$-0.451761\pi$
$577$	19.5148	−	5.73007i	0.812413	−	0.238546i	0.661446	+	0.749993i	$0.269943\pi$
$578$	−23.1899	+	6.28358i	−0.964572	+	0.261363i
$579$	31.5046	−	12.8158i	1.30929	−	0.532606i
$580$	−14.9812	−	36.8203i	−0.622059	−	1.52888i
$581$	4.44318	+	3.85004i	0.184334	+	0.159726i
$582$	−3.25789	−	5.84962i	−0.135044	−	0.242475i
$583$	−24.6474	+	21.3571i	−1.02079	+	0.884520i
$584$	15.2523	+	5.54287i	0.631146	+	0.229365i
$585$	2.66838	−	31.6520i	0.110324	−	1.30865i
$586$	33.8049	−	4.13823i	1.39647	−	0.170949i
$587$	−6.89613	−	4.43187i	−0.284634	−	0.182923i	0.390531	−	0.920590i	$-0.372291\pi$
$587$	−6.89613	−	4.43187i	−0.284634	−	0.182923i	−0.675165	+	0.737667i	$0.735928\pi$
$588$	1.68500	−	20.0042i	0.0694883	−	0.824958i
$589$	−3.95744	−	1.16201i	−0.163064	−	0.0478798i
$590$	−0.725080	−	2.67595i	−0.0298511	−	0.110167i
$591$	−27.0751	+	15.8327i	−1.11372	+	0.651271i
$592$	−11.0504	−	30.8036i	−0.454167	−	1.26602i
$593$	−29.0520	−	25.1737i	−1.19302	−	1.03376i	−0.998603	−	0.0528400i	$-0.983173\pi$
$593$	−29.0520	−	25.1737i	−1.19302	−	1.03376i	−0.194418	−	0.980919i	$-0.562282\pi$
$594$	−25.1685	−	0.109447i	−1.03268	−	0.00449067i
$595$	0.400520	+	0.182911i	0.0164197	+	0.00749864i
$596$	37.7324	+	19.1849i	1.54558	+	0.785843i
$597$	26.2078	+	32.9481i	1.07261	+	1.34848i
$598$	18.5314	−	20.5006i	0.757806	−	0.838334i
$599$	−1.03928	−	0.305161i	−0.0424639	−	0.0124685i	0.260432	−	0.965492i	$-0.416135\pi$
$599$	−1.03928	−	0.305161i	−0.0424639	−	0.0124685i	−0.302896	+	0.953024i	$0.597953\pi$
$600$	−44.8798	+	15.0409i	−1.83221	+	0.614044i
$601$	−0.333173	+	2.31727i	−0.0135904	+	0.0945233i	−0.995488	−	0.0948909i	$-0.969750\pi$
$601$	−0.333173	+	2.31727i	−0.0135904	+	0.0945233i	0.981897	+	0.189414i	$0.0606589\pi$
$602$	−0.301639	+	1.82512i	−0.0122939	+	0.0743863i
$603$	−0.350420	+	24.5536i	−0.0142702	+	0.999898i
$604$	−4.69074	+	13.8034i	−0.190864	+	0.561654i
$605$	−2.77013	−	0.398284i	−0.112622	−	0.0161926i
$606$	0.0245467	+	0.0322256i	0.000997140	+	0.00130908i
$607$	9.80945	−	33.4079i	0.398153	−	1.35599i	−0.479858	−	0.877346i	$-0.659312\pi$
$607$	9.80945	−	33.4079i	0.398153	−	1.35599i	0.878012	−	0.478639i	$-0.158870\pi$
$608$	−1.21553	−	6.65548i	−0.0492963	−	0.269915i
$609$	−7.72325	+	6.14328i	−0.312962	+	0.248938i
$610$	−6.93674	+	21.9120i	−0.280860	+	0.887193i
$611$	10.4663	−	22.9181i	0.423423	−	0.927167i
$612$	0.605979	+	0.166983i	0.0244952	+	0.00674989i
$613$	−9.46228	+	10.9200i	−0.382178	+	0.441057i	−0.913948	−	0.405832i	$-0.866982\pi$
$613$	−9.46228	+	10.9200i	−0.382178	+	0.441057i	0.531770	+	0.846889i	$0.321527\pi$
$614$	−6.88944	−	6.22766i	−0.278035	−	0.251328i
$615$	3.41190	+	5.83459i	0.137581	+	0.235273i
$616$	−0.669176	+	10.6124i	−0.0269619	+	0.427587i
$617$	−3.04310	+	10.3638i	−0.122511	+	0.417233i	−0.997795	−	0.0663764i	$-0.978856\pi$
$617$	−3.04310	+	10.3638i	−0.122511	+	0.417233i	0.875284	+	0.483609i	$0.160674\pi$
$618$	−3.14574	−	39.3581i	−0.126540	−	1.58322i
$619$	−11.6449	+	18.1198i	−0.468048	+	0.728296i	−0.992380	−	0.123218i	$-0.960679\pi$
$619$	−11.6449	+	18.1198i	−0.468048	+	0.728296i	0.524332	+	0.851514i	$0.324315\pi$
$620$	26.3867	+	1.10841i	1.05972	+	0.0445148i
$621$	−36.7149	+	0.611076i	−1.47332	+	0.0245216i
$622$	28.0844	+	0.589602i	1.12608	+	0.0236409i
$623$	−7.65761	−	8.83735i	−0.306796	−	0.354061i
$624$	−19.1550	+	0.321525i	−0.766815	+	0.0128713i
$625$	−13.1247	+	15.1467i	−0.524987	+	0.605867i
$626$	−21.2330	+	13.0241i	−0.848640	+	0.520548i
$627$	−2.67346	−	6.57208i	−0.106768	−	0.262464i
$628$	−0.582440	−	5.75756i	−0.0232419	−	0.229751i
$629$	0.241471	+	0.822375i	0.00962809	+	0.0327903i
$630$	10.1992	+	14.6270i	0.406347	+	0.582755i
$631$	0.508640	+	0.232288i	0.0202486	+	0.00924725i	0.425514	−	0.904952i	$-0.360093\pi$
$631$	0.508640	+	0.232288i	0.0202486	+	0.00924725i	−0.405265	+	0.914199i	$0.632821\pi$
$632$	5.29873	+	2.83562i	0.210772	+	0.112795i
$633$	−2.29491	−	22.7018i	−0.0912146	−	0.902316i
$634$	−13.4034	+	19.9238i	−0.532315	+	0.791275i
$635$	−17.8730	+	20.6265i	−0.709267	+	0.818538i
$636$	32.8687	+	2.76862i	1.30333	+	0.109783i
$637$	−2.28054	−	15.8615i	−0.0903584	−	0.628457i
$638$	−19.3428	+	16.0624i	−0.765789	+	0.635915i
$639$	−8.06312	+	34.9233i	−0.318972	+	1.38155i
$640$	17.8331	+	39.4803i	0.704914	+	1.56060i
$641$			3.92012i			0.154835i	0.996999	+	0.0774177i	$0.0246675\pi$
$641$			3.92012i			0.154835i	−0.996999	+	0.0774177i	$0.975332\pi$
$642$	34.1773	+	18.2931i	1.34887	+	0.721972i
$643$	4.71511	+	7.33685i	0.185946	+	0.289337i	0.921694	−	0.387918i	$-0.126806\pi$
$643$	4.71511	+	7.33685i	0.185946	+	0.289337i	−0.735748	+	0.677255i	$0.763169\pi$
$644$	−0.651101	+	15.5001i	−0.0256570	+	0.610788i
$645$	3.98964	+	6.82257i	0.157092	+	0.268638i
$646$	0.0215302	+	0.175879i	0.000847093	+	0.00691985i
$647$	−28.1410	−	32.4765i	−1.10634	−	1.27678i	−0.957661	−	0.287897i	$-0.907044\pi$
$647$	−28.1410	−	32.4765i	−1.10634	−	1.27678i	−0.148677	−	0.988886i	$-0.547501\pi$
$648$	17.6917	+	18.3031i	0.694997	+	0.719013i
$649$	−1.47518	+	0.948041i	−0.0579059	+	0.0372139i
$650$	−32.2069	+	19.7555i	−1.26326	+	0.774873i
$651$	−1.58107	−	6.36298i	−0.0619670	−	0.249385i
$652$	−19.1811	+	27.2590i	−0.751191	+	1.06754i
$653$	−5.64495	−	19.2249i	−0.220904	−	0.752330i	−0.993134	−	0.116986i	$-0.962677\pi$
$653$	−5.64495	−	19.2249i	−0.220904	−	0.752330i	0.772229	−	0.635344i	$-0.219142\pi$
$654$	16.5842	−	22.5442i	0.648494	−	0.881547i
$655$	−84.7888	+	12.1908i	−3.31297	+	0.476333i
$656$	3.29382	−	2.40175i	0.128602	−	0.0937726i
$657$	−10.1393	−	13.9094i	−0.395571	−	0.542658i
$658$	3.69909	+	13.6517i	0.144205	+	0.532197i
$659$	27.7674	+	17.8450i	1.08166	+	0.695142i	0.954941	−	0.296796i	$-0.0959181\pi$
$659$	27.7674	+	17.8450i	1.08166	+	0.695142i	0.126722	+	0.991938i	$0.459555\pi$
$660$	26.7640	+	36.7103i	1.04179	+	1.42895i
$661$	5.29775	−	36.8466i	0.206058	−	1.43317i	−0.579798	−	0.814760i	$-0.696869\pi$
$661$	5.29775	−	36.8466i	0.206058	−	1.43317i	0.785857	−	0.618408i	$-0.212222\pi$
$662$	6.43674	−	9.56807i	0.250171	−	0.371874i
$663$	0.501301	+	0.0210934i	0.0194689	+	0.000819199i
$664$	−1.20805	−	15.1011i	−0.0468814	−	0.586038i
$665$	−2.71768	+	4.22879i	−0.105387	+	0.163986i
$666$	−8.51681	+	33.6498i	−0.330020	+	1.30390i
$667$	−27.7220	+	24.0213i	−1.07340	+	0.930108i
$668$	6.81981	−	13.4131i	0.263866	−	0.518967i
$669$	−5.00614	−	49.5219i	−0.193549	−	1.91463i
$670$	36.0739	−	25.7558i	1.39366	−	0.995032i
$671$	14.5371			0.561199
$672$	8.15748	−	7.00863i	0.314682	−	0.270364i
$673$	−9.77360	−	11.2793i	−0.376745	−	0.434786i	0.535435	−	0.844576i	$-0.320148\pi$
$673$	−9.77360	−	11.2793i	−0.376745	−	0.434786i	−0.912180	+	0.409790i	$0.865602\pi$
$674$	−1.14892	+	2.38215i	−0.0442547	+	0.0917571i
$675$	48.3995	+	13.3406i	1.86290	+	0.513481i
$676$	10.3914	−	2.58283i	0.399669	−	0.0993395i
$677$	26.1436	+	3.75888i	1.00478	+	0.144466i	0.625011	−	0.780616i	$-0.285094\pi$
$677$	26.1436	+	3.75888i	1.00478	+	0.144466i	0.379769	+	0.925081i	$0.376003\pi$
$678$	8.61802	−	16.1012i	0.330973	−	0.618361i
$679$	2.96989	+	0.427006i	0.113974	+	0.0163870i
$680$	−0.405442	−	1.05967i	−0.0155480	−	0.0406366i
$681$	−10.7428	−	5.46307i	−0.411664	−	0.209345i
$682$	−4.36866	−	16.1227i	−0.167284	−	0.617372i
$683$	−12.0915	−	26.4766i	−0.462668	−	1.01310i	−0.986871	−	0.161508i	$-0.948364\pi$
$683$	−12.0915	−	26.4766i	−0.462668	−	1.01310i	0.524204	−	0.851593i	$-0.324363\pi$
$684$	−2.87150	+	6.57640i	−0.109795	+	0.251455i
$685$	−6.99220	−	48.6318i	−0.267158	−	1.85813i
$686$	14.7345	+	13.3191i	0.562566	+	0.508527i
$687$	−15.9476	+	6.48734i	−0.608439	+	0.247507i
$688$	3.85156	−	2.80844i	0.146840	−	0.107071i
$689$	26.0620	−	3.74715i	0.992883	−	0.142755i
$690$	40.1628	+	52.7270i	1.52897	+	2.00728i
$691$	4.21923	+	6.56524i	0.160507	+	0.249754i	0.912187	−	0.409774i	$-0.134393\pi$
$691$	4.21923	+	6.56524i	0.160507	+	0.249754i	−0.751680	+	0.659528i	$0.770756\pi$
$692$	14.0400	+	24.0054i	0.533719	+	0.912550i
$693$	6.87314	−	8.94233i	0.261089	−	0.339691i
$694$	−0.0796461	−	0.650625i	−0.00302333	−	0.0246974i
$695$	−30.3625	−	66.4847i	−1.15172	−	2.52191i
$696$	25.2891	+	2.66580i	0.958581	+	0.101047i
$697$	−0.0898153	+	0.0577208i	−0.00340200	+	0.00218633i
$698$	−17.3655	−	11.6823i	−0.657294	−	0.442182i
$699$	−5.17332	−	51.1757i	−0.195673	−	1.93564i
$700$	6.82463	−	20.0828i	0.257947	−	0.759059i
$701$	−33.6559	−	15.3701i	−1.27117	−	0.580522i	−0.338399	−	0.941003i	$-0.609885\pi$
$701$	−33.6559	−	15.3701i	−1.27117	−	0.580522i	−0.932766	+	0.360481i	$0.882613\pi$
$702$	17.0462	+	11.0600i	0.643367	+	0.417431i
$703$	−9.68536	+	1.39254i	−0.365290	+	0.0525208i
$704$	20.4024	−	18.2898i	0.768945	−	0.689324i
$705$	49.4176	+	34.7786i	1.86117	+	1.30984i
$706$	6.58413	−	9.78715i	0.247797	−	0.368344i
$707$	−0.0181530			−0.000682714
$708$	1.72812	+	0.398860i	0.0649467	+	0.0149901i
$709$	−6.20447	+	13.5859i	−0.233014	+	0.510229i	−0.989632	−	0.143628i	$-0.954123\pi$
$709$	−6.20447	+	13.5859i	−0.233014	+	0.510229i	0.756618	+	0.653857i	$0.226850\pi$
$710$	59.4012	−	25.6348i	2.22929	−	0.962056i
$711$	−2.98356	−	5.63296i	−0.111892	−	0.211253i
$712$	−1.89621	+	30.0720i	−0.0710637	+	1.12699i
$713$	−6.86595	−	23.3833i	−0.257132	−	0.875711i
$714$	−0.224070	+	0.170677i	−0.00838560	+	0.00638742i
$715$	27.4070	+	23.7483i	1.02496	+	0.888135i
$716$	28.5064	−	7.08538i	1.06533	−	0.264793i
$717$	31.3006	+	29.5153i	1.16894	+	1.10227i
$718$	−22.4584	−	0.471490i	−0.838140	−	0.0175958i
$719$	41.2934	+	12.1248i	1.53999	+	0.452181i	0.938089	−	0.346394i	$-0.112594\pi$
$719$	41.2934	+	12.1248i	1.53999	+	0.452181i	0.601896	+	0.798574i	$0.294412\pi$
$720$	7.68625	−	45.3015i	0.286450	−	1.68829i
$721$	14.8845	+	9.56569i	0.554328	+	0.356245i
$722$	24.8417	+	0.521525i	0.924512	+	0.0194091i
$723$	4.54032	+	0.848979i	0.168856	+	0.0315739i
$724$	4.86887	+	48.1299i	0.180950	+	1.78873i
$725$	45.6197	−	20.8338i	1.69427	−	0.773749i
$726$	1.06087	−	1.44212i	0.0393726	−	0.0535221i
$727$	6.74629	+	5.84569i	0.250206	+	0.216805i	0.770929	−	0.636921i	$-0.219792\pi$
$727$	6.74629	+	5.84569i	0.250206	+	0.216805i	−0.520723	+	0.853726i	$0.674338\pi$
$728$	5.08663	−	6.91566i	0.188523	−	0.256311i
$729$	−4.72975	−	26.5825i	−0.175176	−	0.984537i
$730$	−9.37713	+	29.6209i	−0.347063	+	1.09632i
$731$	−0.105024	+	0.0674947i	−0.00388445	+	0.00249638i
$732$	−10.2644	−	10.5271i	−0.379382	−	0.389091i
$733$	−18.7662	−	5.51026i	−0.693147	−	0.203526i	−0.0838615	−	0.996477i	$-0.526725\pi$
$733$	−18.7662	−	5.51026i	−0.693147	−	0.203526i	−0.609285	+	0.792951i	$0.708544\pi$
$734$	−5.06835	−	8.26283i	−0.187076	−	0.304987i
$735$	38.4004	+	1.61578i	1.41642	+	0.0595991i
$736$	29.1994	−	27.3028i	1.07630	−	1.00639i
$737$	−22.4170	−	16.8360i	−0.825739	−	0.620160i
$738$	−4.32068	+	0.162984i	−0.159047	+	0.00599952i
$739$	−3.87449	−	0.557067i	−0.142525	−	0.0204921i	0.0706828	−	0.997499i	$-0.477482\pi$
$739$	−3.87449	−	0.557067i	−0.142525	−	0.0204921i	−0.213208	+	0.977007i	$0.568391\pi$
$740$	58.0349	−	23.6128i	2.13340	−	0.868025i
$741$	−1.05284	+	5.63055i	−0.0386770	+	0.206843i
$742$	−9.91194	+	10.9652i	−0.363879	+	0.402546i
$743$	−44.5049	+	28.6016i	−1.63273	+	1.04929i	−0.685827	+	0.727765i	$0.740559\pi$
$743$	−44.5049	+	28.6016i	−1.63273	+	1.04929i	−0.946901	+	0.321526i	$0.895804\pi$
$744$	−8.59067	+	14.5475i	−0.314949	+	0.533337i
$745$	−33.6659	+	73.7181i	−1.23342	+	2.70082i
$746$	39.3512	+	12.4575i	1.44075	+	0.456101i
$747$	−7.87929	+	14.0039i	−0.288288	+	0.512375i
$748$	−0.561586	+	0.446765i	−0.0205336	+	0.0163353i
$749$	−15.8014	+	7.21626i	−0.577371	+	0.263677i
$750$	−15.6220	−	40.8387i	−0.570436	−	1.49122i
$751$	2.54597	−	8.67076i	0.0929036	−	0.316401i	−0.899909	−	0.436077i	$-0.856368\pi$
$751$	2.54597	−	8.67076i	0.0929036	−	0.316401i	0.992813	+	0.119676i	$0.0381857\pi$
$752$	17.8672	−	31.7659i	0.651550	−	1.15838i
$753$	−3.47898	−	1.76918i	−0.126781	−	0.0644724i
$754$	20.1482	−	2.46644i	0.733753	−	0.0898223i
$755$	−26.7808	−	7.86357i	−0.974655	−	0.286184i
$756$	−11.3286	+	1.33681i	−0.412016	+	0.0486193i
$757$	22.3845	+	25.8331i	0.813579	+	0.938920i	0.999043	−	0.0437310i	$-0.0139245\pi$
$757$	22.3845	+	25.8331i	0.813579	+	0.938920i	−0.185465	+	0.982651i	$0.559379\pi$
$758$	−42.2782	+	18.2453i	−1.53561	+	0.662699i
$759$	24.1276	−	34.2834i	0.875775	−	1.24441i
$760$	12.6333	−	2.85991i	0.458257	−	0.103740i
$761$	5.40846	+	18.4195i	0.196056	+	0.667707i	0.997566	+	0.0697254i	$0.0222123\pi$
$761$	5.40846	+	18.4195i	0.196056	+	0.667707i	−0.801510	+	0.597982i	$0.795970\pi$
$762$	−6.23792	−	16.3070i	−0.225976	−	0.590741i
$763$	3.53333	+	12.0334i	0.127915	+	0.435639i
$764$	7.55049	−	1.87671i	0.273167	−	0.0678969i
$765$	−0.270723	+	1.17257i	−0.00978799	+	0.0423942i
$766$	−5.35627	+	32.4090i	−0.193530	+	1.17098i
$767$	1.41572			0.0511186
$768$	−27.6503	−	1.86033i	−0.997744	−	0.0671290i
$769$	13.1385	−	15.1626i	0.473785	−	0.546777i	−0.467675	−	0.883900i	$-0.654908\pi$
$769$	13.1385	−	15.1626i	0.473785	−	0.546777i	0.941461	+	0.337123i	$0.109454\pi$
$770$	−20.3538	−	0.427306i	−0.733499	−	0.0153990i
$771$	−9.62286	+	2.39108i	−0.346559	+	0.0861127i
$772$	33.9007	−	19.8274i	1.22011	−	0.713602i
$773$	9.61033	+	4.38889i	0.345660	+	0.157857i	0.580678	−	0.814134i	$-0.302788\pi$
$773$	9.61033	+	4.38889i	0.345660	+	0.157857i	−0.235018	+	0.971991i	$0.575515\pi$
$774$	−5.05231	+	0.190582i	−0.181601	+	0.00685033i
$775$			33.3199i			1.19689i
$776$	−4.68530	−	6.15011i	−0.168193	−	0.220776i
$777$	−9.68283	−	12.1731i	−0.347370	−	0.436709i
$778$	41.9993	−	5.14133i	1.50575	−	0.184326i
$779$	−0.506333	−	1.10871i	−0.0181413	−	0.0397238i
$780$	−2.15417	−	36.6149i	−0.0771318	−	1.31102i
$781$	−26.7970	−	30.9254i	−0.958872	−	1.10660i
$782$	−0.805463	+	0.668860i	−0.0288033	+	0.0239184i
$783$	−20.6750	−	17.3211i	−0.738864	−	0.619005i
$784$	−1.36307	−	23.1405i	−0.0486812	−	0.826447i
$785$	10.9666	−	1.57675i	0.391413	−	0.0562767i
$786$	18.7201	−	51.5010i	0.667726	−	1.83698i
$787$	−2.63451	−	8.97232i	−0.0939101	−	0.319829i	0.899118	−	0.437706i	$-0.144209\pi$
$787$	−2.63451	−	8.97232i	−0.0939101	−	0.319829i	−0.993028	+	0.117878i	$0.962391\pi$
$788$	−28.3420	+	22.5472i	−1.00964	+	0.803212i
$789$	8.46170	+	34.0540i	0.301245	+	1.21235i
$790$	−4.99836	+	10.3635i	−0.177834	+	0.368718i
$791$	3.39963	+	7.44415i	0.120877	+	0.264684i
$792$	−28.7840	+	4.01292i	−1.02280	+	0.142593i
$793$	−9.87332	−	6.34520i	−0.350612	−	0.225325i
$794$	1.19070	+	1.43388i	0.0422563	+	0.0508864i
$795$	−2.65489	+	63.0955i	−0.0941591	+	2.23777i
$796$	35.3709	+	33.3487i	1.25369	+	1.18201i
$797$	45.5148	+	6.54404i	1.61222	+	0.231802i	0.888694	−	0.458500i	$-0.151613\pi$
$797$	45.5148	+	6.54404i	1.61222	+	0.231802i	0.723522	+	0.690302i	$0.242522\pi$
$798$	−1.56463	−	2.80934i	−0.0553875	−	0.0994497i
$799$	−0.516057	+	0.803000i	−0.0182568	+	0.0284081i
$800$	−48.8218	+	24.5696i	−1.72611	+	0.868666i
$801$	19.4761	−	25.3395i	0.688154	−	0.895327i
$802$	9.93946	−	31.3972i	0.350974	−	1.10867i
$803$	19.6514			0.693482
$804$	3.63639	+	28.1208i	0.128246	+	0.991742i
$805$	−29.7016			−1.04684
$806$	−4.07019	+	12.8571i	−0.143366	+	0.452872i
$807$	−17.4968	+	18.5552i	−0.615918	+	0.653173i
$808$	0.0333535	+	0.0327961i	0.00117337	+	0.00115376i
$809$	18.1051	−	28.1721i	0.636541	−	0.990477i	−0.361764	−	0.932270i	$-0.617825\pi$
$809$	18.1051	−	28.1721i	0.636541	−	0.990477i	0.998305	−	0.0582069i	$-0.0185383\pi$
$810$	−33.5895	+	35.3123i	−1.18022	+	1.24075i
$811$	36.1760	+	5.20132i	1.27031	+	0.182643i	0.744306	−	0.667839i	$-0.232780\pi$
$811$	36.1760	+	5.20132i	1.27031	+	0.182643i	0.526005	+	0.850482i	$0.323689\pi$
$812$	−7.81715	+	8.29117i	−0.274328	+	0.290963i
$813$	−22.0690	−	0.928601i	−0.773992	−	0.0325675i
$814$	−25.3170	−	30.4875i	−0.887359	−	1.06859i
$815$	−53.6836	−	34.5004i	−1.88046	−	1.20850i
$816$	0.720049	+	0.0912209i	0.0252067	+	0.00319337i
$817$	−0.592071	−	1.29645i	−0.0207139	−	0.0453572i
$818$	17.2594	−	35.7853i	0.603460	−	1.25121i
$819$	−8.57126	+	3.07345i	−0.299504	+	0.107395i
$820$	4.85886	+	6.10761i	0.169679	+	0.213287i
$821$	−9.49899	−	32.3506i	−0.331517	−	1.12904i	−0.941608	−	0.336712i	$-0.890685\pi$
$821$	−9.49899	−	32.3506i	−0.331517	−	1.12904i	0.610091	−	0.792332i	$-0.291133\pi$
$822$	29.5391	+	10.7372i	1.03030	+	0.374503i
$823$	9.80783	−	1.41015i	0.341879	−	0.0491548i	0.0307632	−	0.999527i	$-0.490206\pi$
$823$	9.80783	−	1.41015i	0.341879	−	0.0491548i	0.311116	+	0.950372i	$0.399297\pi$
$824$	−10.0663	−	44.4666i	−0.350677	−	1.54907i
$825$	−44.8572	+	35.6806i	−1.56173	+	1.24224i
$826$	−0.611428	+	0.507733i	−0.0212743	+	0.0176663i
$827$	14.6241	+	16.8771i	0.508528	+	0.586873i	0.950721	−	0.310047i	$-0.100345\pi$
$827$	14.6241	+	16.8771i	0.508528	+	0.586873i	−0.442193	+	0.896920i	$0.645799\pi$
$828$	−41.8623	+	6.73478i	−1.45481	+	0.234050i
$829$	−0.604586	−	1.32386i	−0.0209981	−	0.0459795i	0.898842	−	0.438272i	$-0.144409\pi$
$829$	−0.604586	−	1.32386i	−0.0209981	−	0.0459795i	−0.919841	+	0.392293i	$0.871682\pi$
$830$	28.7892	−	3.52422i	0.999287	−	0.122328i
$831$	−21.2555	+	16.9072i	−0.737344	+	0.586503i
$832$	−21.8401	+	3.51680i	−0.757169	+	0.121923i
$833$			0.607105i			0.0210349i
$834$	46.6631	+	2.94570i	1.61581	+	0.102001i
$835$	26.2052	+	11.9675i	0.906868	+	0.414153i
$836$	−4.13612	−	7.07192i	−0.143051	−	0.244588i
$837$	16.1740	−	7.71425i	0.559055	−	0.266643i
$838$	21.7961	+	0.457587i	0.752935	+	0.0158071i
$839$	−16.5378	+	19.0857i	−0.570950	+	0.658911i	−0.965634	−	0.259906i	$-0.916308\pi$
$839$	−16.5378	+	19.0857i	−0.570950	+	0.658911i	0.394684	+	0.918817i	$0.370854\pi$
$840$	14.0619	+	15.0409i	0.485183	+	0.518960i
$841$	2.05647			0.0709127
$842$	−1.60860	+	9.73310i	−0.0554360	+	0.335425i
$843$	1.16073	+	0.394534i	0.0399775	+	0.0135885i
$844$	−6.35539	−	25.5694i	−0.218761	−	0.880135i
$845$	5.77553	+	19.6697i	0.198684	+	0.676657i
$846$	−34.5331	+	17.3727i	−1.18727	+	0.597285i
$847$	0.226023	+	0.769762i	0.00776623	+	0.0264493i
$848$	38.0220	−	2.23966i	1.30568	−	0.0769103i
$849$	−0.233575	−	0.164383i	−0.00801626	−	0.00564160i
$850$	1.31428	−	0.567181i	0.0450794	−	0.0194542i
$851$	−37.8616	−	43.6946i	−1.29788	−	1.49783i
$852$	−3.47382	+	41.2408i	−0.119011	+	1.41289i
$853$	11.8319	+	3.47417i	0.405118	+	0.118953i	0.477942	−	0.878391i	$-0.341383\pi$
$853$	11.8319	+	3.47417i	0.405118	+	0.118953i	−0.0728240	+	0.997345i	$0.523201\pi$
$854$	6.53979	−	0.800568i	0.223787	−	0.0273949i
$855$	−12.8104	−	4.96433i	−0.438107	−	0.169776i
$856$	42.0701	+	15.2887i	1.43793	+	0.522558i
$857$	−13.2515	+	45.1306i	−0.452664	+	1.54163i	0.345042	+	0.938587i	$0.387865\pi$
$857$	−13.2515	+	45.1306i	−0.452664	+	1.54163i	−0.797707	+	0.603046i	$0.793954\pi$
$858$	−21.6675	+	8.28848i	−0.739718	+	0.282964i
$859$	−14.3932	+	6.57314i	−0.491089	+	0.224273i	−0.645538	−	0.763728i	$-0.723367\pi$
$859$	−14.3932	+	6.57314i	−0.491089	+	0.224273i	0.154449	+	0.988001i	$0.450640\pi$
$860$	5.68161	+	7.14181i	0.193741	+	0.243534i
$861$	1.11511	−	1.58449i	0.0380029	−	0.0539991i
$862$	−44.3471	−	14.0390i	−1.51047	−	0.478172i
$863$	−19.4011	+	42.4824i	−0.660420	+	1.44612i	0.221709	+	0.975113i	$0.428836\pi$
$863$	−19.4011	+	42.4824i	−0.660420	+	1.44612i	−0.882130	+	0.471006i	$0.843891\pi$
$864$	23.2298	+	18.0105i	0.790292	+	0.612730i
$865$	−44.7907	+	28.7853i	−1.52293	+	0.978728i
$866$	6.36675	−	7.04332i	0.216351	−	0.239342i
$867$	28.9245	+	5.40851i	0.982329	+	0.183683i
$868$	−2.85321	−	7.01253i	−0.0968442	−	0.238021i
$869$	7.20335	+	1.03569i	0.244357	+	0.0351332i
$870$	−3.06724	+	48.5885i	−0.103989	+	1.64730i
$871$	7.87655	+	21.2192i	0.266887	+	0.718987i
$872$	15.2482	−	28.4932i	0.516368	−	0.964901i
$873$	0.481049	+	8.18636i	0.0162810	+	0.277066i
$874$	−6.24962	−	10.1886i	−0.211396	−	0.344636i
$875$	18.8001	+	5.52019i	0.635558	+	0.186617i
$876$	−13.8754	−	14.2305i	−0.468807	−	0.480806i
$877$	−14.9652	+	9.61756i	−0.505340	+	0.324762i	−0.768349	−	0.640031i	$-0.778921\pi$
$877$	−14.9652	+	9.61756i	−0.505340	+	0.324762i	0.263009	+	0.964793i	$0.415285\pi$
$878$	4.26404	−	13.4694i	0.143904	−	0.454571i
$879$	−39.4925	−	13.4236i	−1.33205	−	0.452767i
$880$	36.6251	+	37.5572i	1.23463	+	1.26605i
$881$	30.3706	+	26.3163i	1.02321	+	0.886617i	0.993601	−	0.112944i	$-0.0360281\pi$
$881$	30.3706	+	26.3163i	1.02321	+	0.886617i	0.0296097	+	0.999562i	$0.490574\pi$
$882$	−12.5035	+	21.1701i	−0.421014	+	0.712833i
$883$	23.1935	−	10.5921i	0.780524	−	0.356454i	0.0150225	−	0.999887i	$-0.495218\pi$
$883$	23.1935	−	10.5921i	0.780524	−	0.356454i	0.765502	+	0.643434i	$0.222491\pi$
$884$	0.576423	−	0.0583115i	0.0193872	−	0.00196123i
$885$	−0.624103	+	3.33768i	−0.0209790	+	0.112195i
$886$	−20.9382	−	0.439575i	−0.703432	−	0.0147678i
$887$	−24.2196	−	15.5650i	−0.813214	−	0.522621i	0.0666894	−	0.997774i	$-0.478756\pi$
$887$	−24.2196	−	15.5650i	−0.813214	−	0.522621i	−0.879903	+	0.475153i	$0.842393\pi$
$888$	−4.20174	+	39.8598i	−0.141001	+	1.33761i
$889$	7.50691	+	2.20423i	0.251774	+	0.0739274i
$890$	−57.6756	−	1.21084i	−1.93329	−	0.0405873i
$891$	27.7053	+	13.5136i	0.928163	+	0.452722i
$892$	−13.8637	−	55.7773i	−0.464191	−	1.86756i
$893$	−8.23563	−	7.13622i	−0.275595	−	0.238804i
$894$	−31.4141	−	41.2414i	−1.05064	−	1.37932i
$895$	15.8438	+	53.9591i	0.529601	+	1.80366i
$896$	8.17117	−	9.35160i	0.272980	−	0.312415i
$897$	−31.3510	+	12.7533i	−1.04678	+	0.425820i
$898$	−10.4848	+	4.52474i	−0.349882	+	0.150993i
$899$	7.43623	−	16.2831i	0.248012	−	0.543071i
$900$	57.5108	+	7.29002i	1.91703	+	0.243001i
$901$	−0.997531			−0.0332326
$902$	2.75536	−	4.09578i	0.0917435	−	0.136375i
$903$	1.30394	−	1.85279i	0.0433922	−	0.0616569i
$904$	7.20262	−	19.8195i	0.239556	−	0.659186i
$905$	−91.6742	+	13.1808i	−3.04735	+	0.438143i
$906$	12.5196	−	12.7306i	0.415935	−	0.422945i
$907$	−22.3158	−	10.1913i	−0.740985	−	0.338397i	0.00890361	−	0.999960i	$-0.497166\pi$
$907$	−22.3158	−	10.1913i	−0.740985	−	0.338397i	−0.749889	+	0.661564i	$0.769893\pi$
$908$	−13.1765	−	4.47770i	−0.437278	−	0.148598i
$909$	−0.00992943	−	0.0486102i	−0.000329338	−	0.00161230i
$910$	13.6374	+	9.17428i	0.452074	+	0.304124i
$911$	−0.717551	+	0.461142i	−0.0237735	+	0.0152783i	−0.552474	−	0.833530i	$-0.686316\pi$
$911$	−0.717551	+	0.461142i	−0.0237735	+	0.0152783i	0.528700	+	0.848809i	$0.322680\pi$
$912$	−2.20070	+	7.98851i	−0.0728725	+	0.264526i
$913$	−7.62075	−	16.6871i	−0.252210	−	0.552263i
$914$	−2.43780	−	19.9142i	−0.0806352	−	0.658704i
$915$	19.3119	−	20.4801i	0.638433	−	0.677050i
$916$	−17.1605	+	10.0366i	−0.566999	+	0.331618i
$917$	13.2758	+	20.6576i	0.438407	+	0.682174i
$918$	−0.579602	−	0.506658i	−0.0191297	−	0.0167222i
$919$	−38.3509	+	5.51403i	−1.26508	+	0.181891i	−0.742005	−	0.670395i	$-0.766125\pi$
$919$	−38.3509	+	5.51403i	−1.26508	+	0.181891i	−0.523076	+	0.852286i	$0.675216\pi$
$920$	54.5725	+	53.6603i	1.79920	+	1.76913i
$921$	4.28587	+	10.5358i	0.141224	+	0.347167i
$922$	−36.8975	−	33.3533i	−1.21516	−	1.09843i
$923$	4.70160	+	32.7003i	0.154755	+	1.07634i
$924$	6.38533	−	11.3505i	0.210062	−	0.373405i
$925$	32.8376	+	71.9043i	1.07969	+	2.36420i
$926$	9.19863	+	33.9480i	0.302286	+	1.11560i
$927$	−17.4734	+	45.0901i	−0.573903	+	1.48095i
$928$	29.3421	−	1.11100i	0.963202	−	0.0364702i
$929$	29.5228	+	4.24474i	0.968613	+	0.139265i	0.608422	−	0.793613i	$-0.291803\pi$
$929$	29.5228	+	4.24474i	0.968613	+	0.139265i	0.360190	+	0.932879i	$0.382712\pi$
$930$	−28.5175	−	15.2638i	−0.935125	−	0.500518i
$931$	−6.86043	−	0.986380i	−0.224841	−	0.0323273i
$932$	−14.3267	−	57.6399i	−0.469285	−	1.88806i
$933$	−30.6663	−	15.5949i	−1.00397	−	0.510553i
$934$	−19.4522	+	40.3320i	−0.636496	+	1.31970i
$935$	−0.899720	−	1.03833i	−0.0294240	−	0.0339571i
$936$	21.3011	+	9.83823i	0.696248	+	0.321573i
$937$	−9.10985			−0.297606			−0.148803	−	0.988867i	$-0.547542\pi$
$937$	−9.10985			−0.297606			−0.148803	+	0.988867i	$0.547542\pi$
$938$	−11.0118	−	6.33945i	−0.359550	−	0.206990i
$939$	30.3527	−	3.06834i	0.990522	−	0.100131i
$940$	62.1992	+	31.6248i	2.02871	+	1.03149i
$941$	1.60497	−	1.39071i	0.0523205	−	0.0453360i	−0.628308	−	0.777965i	$-0.716252\pi$
$941$	1.60497	−	1.39071i	0.0523205	−	0.0453360i	0.680629	+	0.732629i	$0.261707\pi$
$942$	−2.42126	+	6.66112i	−0.0788888	+	0.217031i
$943$	3.89362	−	6.05859i	0.126794	−	0.197295i
$944$	2.04071	+	0.171748i	0.0664193	+	0.00558993i
$945$	−3.46739	−	21.5625i	−0.112794	−	0.701427i
$946$	3.22193	−	4.78933i	0.104754	−	0.155714i
$947$	4.83399	−	33.6211i	0.157084	−	1.09254i	−0.746889	−	0.664949i	$-0.768453\pi$
$947$	4.83399	−	33.6211i	0.157084	−	1.09254i	0.903972	−	0.427591i	$-0.140638\pi$
$948$	−4.33614	−	5.94758i	−0.140831	−	0.193168i
$949$	−13.3468	−	8.57748i	−0.433256	−	0.278437i
$950$	4.27393	+	15.7732i	0.138665	+	0.511749i
$951$	25.3873	−	14.8458i	0.823240	−	0.481406i
$952$	−0.228036	+	0.231912i	−0.00739069	+	0.00751632i
$953$	35.3253	−	5.07901i	1.14430	−	0.164525i	0.456019	−	0.889970i	$-0.349275\pi$
$953$	35.3253	−	5.07901i	1.14430	−	0.164525i	0.688280	+	0.725445i	$0.258366\pi$
$954$	−34.7844	−	20.5444i	−1.12619	−	0.665150i
$955$	4.19656	+	14.2922i	0.135797	+	0.462484i
$956$	40.6272	+	28.5879i	1.31398	+	0.924599i
$957$	29.8843	−	7.42564i	0.966024	−	0.240037i
$958$	6.61460	−	4.05734i	0.213708	−	0.131087i
$959$	−11.8485	+	7.61455i	−0.382607	+	0.245887i
$960$	1.33679	−	53.0404i	0.0431446	−	1.71187i
$961$	−12.5125	−	14.4402i	−0.403629	−	0.465813i
$962$	3.88751	+	31.7569i	0.125339	+	1.02388i
$963$	−27.9669	−	38.3659i	−0.901220	−	1.23632i
$964$	5.32887	+	0.223847i	0.171631	+	0.00720961i
$965$	40.6508	+	63.2539i	1.30860	+	2.03621i
$966$	8.96623	−	16.7517i	0.288484	−	0.538978i
$967$		−	22.7382i		−	0.731211i	−0.930770	−	0.365606i	$-0.880862\pi$
$967$		−	22.7382i		−	0.731211i	0.930770	−	0.365606i	$-0.119138\pi$
$968$	0.975404	−	1.82267i	0.0313507	−	0.0585829i
$969$	0.0698397	−	0.205469i	0.00224358	−	0.00660063i
$970$	11.3878	−	9.45646i	0.365639	−	0.303629i
$971$	−4.99978	−	34.7742i	−0.160450	−	1.11596i	−0.897786	−	0.440431i	$-0.854826\pi$
$971$	−4.99978	−	34.7742i	−0.160450	−	1.11596i	0.737336	−	0.675526i	$-0.236083\pi$
$972$	−9.77627	−	29.6045i	−0.313574	−	0.949564i
$973$	−13.7207	+	15.8345i	−0.439866	+	0.507632i
$974$	−26.4565	+	39.3271i	−0.847722	+	1.26012i
$975$	46.0401	−	4.65417i	1.47446	−	0.149053i
$976$	−13.4623	−	10.3442i	−0.430917	−	0.331109i
$977$	−20.7884	−	9.49376i	−0.665081	−	0.303732i	0.0541201	−	0.998534i	$-0.482765\pi$
$977$	−20.7884	−	9.49376i	−0.665081	−	0.303732i	−0.719201	+	0.694802i	$0.755492\pi$
$978$	35.6640	−	19.8627i	1.14041	−	0.635139i
$979$	10.2797	+	35.0095i	0.328541	+	1.11891i
$980$	44.1548	−	4.46674i	1.41047	−	0.142685i
$981$	−30.2905	+	16.0437i	−0.967101	+	0.512236i
$982$	−22.0435	+	13.5213i	−0.703436	+	0.431482i
$983$	4.24696	−	4.90125i	0.135457	−	0.156326i	−0.683968	−	0.729512i	$-0.739747\pi$
$983$	4.24696	−	4.90125i	0.135457	−	0.156326i	0.819425	+	0.573186i	$0.194293\pi$
$984$	−4.91147	+	0.896652i	−0.156572	+	0.0285842i
$985$	−45.4069	−	52.4023i	−1.44678	−	1.66968i
$986$	−0.768857	−	0.0161413i	−0.0244854	−	0.000514044i
$987$	3.18394	−	17.0276i	0.101346	−	0.541995i
$988$	−0.277597	+	6.60845i	−0.00883154	+	0.210243i
$989$	4.55293	−	7.08450i	0.144775	−	0.225274i
$990$	−9.98897	−	54.7371i	−0.317470	−	1.73966i
$991$	−2.74151	+	9.33671i	−0.0870868	+	0.296590i	−0.991507	−	0.130052i	$-0.958486\pi$
$991$	−2.74151	+	9.33671i	−0.0870868	+	0.296590i	0.904420	+	0.426643i	$0.140304\pi$
$992$	−7.42680	+	18.0393i	−0.235801	+	0.572747i
$993$	−12.1918	+	7.12943i	−0.386896	+	0.226246i
$994$	−13.7582	−	12.4366i	−0.436384	−	0.394466i
$995$	−60.9490	+	70.3389i	−1.93221	+	2.22989i
$996$	−6.70312	+	17.3010i	−0.212396	+	0.548203i
$997$	−2.32871	+	5.09916i	−0.0737510	+	0.161492i	−0.942917	−	0.333029i	$-0.891929\pi$
$997$	−2.32871	+	5.09916i	−0.0737510	+	0.161492i	0.869166	+	0.494521i	$0.164657\pi$
$998$	−3.90478	+	12.3346i	−0.123604	+	0.390444i
$999$	27.3009	−	32.5873i	0.863763	−	1.03102i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.w.a.59.11	yes	1320
3.2	odd	2	inner	804.2.w.a.59.122	yes	1320
4.3	odd	2	inner	804.2.w.a.59.1	✓	1320
12.11	even	2	inner	804.2.w.a.59.132	yes	1320
67.25	even	11	inner	804.2.w.a.695.132	yes	1320
201.92	odd	22	inner	804.2.w.a.695.1	yes	1320
268.159	odd	22	inner	804.2.w.a.695.122	yes	1320
804.695	even	22	inner	804.2.w.a.695.11	yes	1320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.w.a.59.1	✓	1320	4.3	odd	2	inner
804.2.w.a.59.11	yes	1320	1.1	even	1	trivial
804.2.w.a.59.122	yes	1320	3.2	odd	2	inner
804.2.w.a.59.132	yes	1320	12.11	even	2	inner
804.2.w.a.695.1	yes	1320	201.92	odd	22	inner
804.2.w.a.695.11	yes	1320	804.695	even	22	inner
804.2.w.a.695.122	yes	1320	268.159	odd	22	inner
804.2.w.a.695.132	yes	1320	67.25	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.w (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.34827 - 0.426823i) q^{2} +(1.26016 + 1.18828i) q^{3} +(1.63564 + 1.15094i) q^{4} +(-2.07016 + 3.22123i) q^{5} +(-1.19184 - 2.13998i) q^{6} +(1.08648 + 0.156213i) q^{7} +(-1.71403 - 2.24991i) q^{8} +(0.175983 + 2.99483i) q^{9} +O(q^{10})\)	\(q+(-1.34827 - 0.426823i) q^{2} +(1.26016 + 1.18828i) q^{3} +(1.63564 + 1.15094i) q^{4} +(-2.07016 + 3.22123i) q^{5} +(-1.19184 - 2.13998i) q^{6} +(1.08648 + 0.156213i) q^{7} +(-1.71403 - 2.24991i) q^{8} +(0.175983 + 2.99483i) q^{9} +(4.16602 - 3.45948i) q^{10} +(-2.88133 - 1.85172i) q^{11} +(0.693524 + 3.39397i) q^{12} +(1.14870 + 2.51530i) q^{13} +(-1.39819 - 0.674352i) q^{14} +(-6.43643 + 1.59932i) q^{15} +(1.35066 + 3.76506i) q^{16} +(-0.0295145 - 0.100517i) q^{17} +(1.04099 - 4.11295i) q^{18} +(1.18382 - 0.170208i) q^{19} +(-7.09348 + 2.88615i) q^{20} +(1.18351 + 1.48790i) q^{21} +(3.09444 + 3.72642i) q^{22} +(4.62774 + 5.34070i) q^{23} +(0.513570 - 4.87199i) q^{24} +(-4.01367 - 8.78872i) q^{25} +(-0.475163 - 3.88158i) q^{26} +(-3.33693 + 3.98307i) q^{27} +(1.59731 + 1.50599i) q^{28} +5.19072i q^{29} +(9.36065 + 0.590910i) q^{30} +(-3.13696 - 1.43260i) q^{31} +(-0.214035 - 5.65280i) q^{32} +(-1.43056 - 5.75727i) q^{33} +(-0.00310965 + 0.148121i) q^{34} +(-2.75238 + 3.17642i) q^{35} +(-3.15904 + 5.10103i) q^{36} -8.18144 q^{37} +(-1.66875 - 0.275797i) q^{38} +(-1.54134 + 4.53464i) q^{39} +(10.7958 - 0.863631i) q^{40} +(-0.287119 - 0.977837i) q^{41} +(-0.960621 - 2.51123i) q^{42} +(-0.335737 - 1.14342i) q^{43} +(-2.58160 - 6.34499i) q^{44} +(-10.0113 - 5.63289i) q^{45} +(-3.95989 - 9.17591i) q^{46} +(-5.96676 - 6.88601i) q^{47} +(-2.77191 + 6.34953i) q^{48} +(-5.56041 - 1.63268i) q^{49} +(1.66027 + 13.5627i) q^{50} +(0.0822497 - 0.161739i) q^{51} +(-1.01610 + 5.43621i) q^{52} +(2.68265 - 9.13628i) q^{53} +(6.19914 - 3.94596i) q^{54} +(11.9296 - 5.44806i) q^{55} +(-1.51080 - 2.71224i) q^{56} +(1.69405 + 1.19222i) q^{57} +(2.21552 - 6.99847i) q^{58} +(0.212684 - 0.465713i) q^{59} +(-12.3684 - 4.79205i) q^{60} +(-3.57059 + 2.29468i) q^{61} +(3.61799 + 3.27046i) q^{62} +(-0.276628 + 3.28133i) q^{63} +(-2.12417 + 7.71284i) q^{64} +(-10.4803 - 1.50684i) q^{65} +(-0.528557 + 8.37293i) q^{66} +(8.16357 + 0.596718i) q^{67} +(0.0674143 - 0.198380i) q^{68} +(-0.514570 + 12.2292i) q^{69} +(5.06672 - 3.10788i) q^{70} +(11.4634 + 3.36596i) q^{71} +(6.43646 - 5.52919i) q^{72} +(-4.82675 + 3.10196i) q^{73} +(11.0308 + 3.49203i) q^{74} +(5.38560 - 15.8445i) q^{75} +(2.13221 + 1.08411i) q^{76} +(-2.84125 - 2.46196i) q^{77} +(4.01362 - 5.45602i) q^{78} +(-1.93276 + 0.882662i) q^{79} +(-14.9242 - 3.44348i) q^{80} +(-8.93806 + 1.05408i) q^{81} +(-0.0302509 + 1.44093i) q^{82} +(4.50585 + 2.89574i) q^{83} +(0.223321 + 3.79582i) q^{84} +(0.384888 + 0.113013i) q^{85} +(-0.0353733 + 1.68493i) q^{86} +(-6.16802 + 6.54111i) q^{87} +(0.772502 + 9.65662i) q^{88} +(-8.05112 - 6.97634i) q^{89} +(11.0937 + 11.8677i) q^{90} +(0.855118 + 2.91227i) q^{91} +(1.42250 + 14.0617i) q^{92} +(-2.25073 - 5.53289i) q^{93} +(5.10567 + 11.8309i) q^{94} +(-1.90242 + 4.16571i) q^{95} +(6.44739 - 7.37774i) q^{96} +2.73349 q^{97} +(6.80004 + 4.57460i) q^{98} +(5.03851 - 8.95496i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Introduction

L-functions

Modular forms

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