LMFDB - Embedded newform 98.2.e.a.43.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([10]))

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

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} + \cdots + 729 $ x^18 - 6x^17 + 15x^16 - 23x^15 + 72x^14 - 85x^13 + 432x^12 - 282x^11 + 1786x^10 - 1092x^9 + 7272x^8 - 10168x^7 + 25378x^6 - 43359x^5 + 57726x^4 - 56565x^3 + 38232x^2 - 6804*x + 729
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 7 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			43.2
Root			$0.937338 + 0.451398i$ of defining polynomial
Character	$\chi$	$=$	98.43
Dual form			98.2.e.a.57.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.623490 - 0.781831i) q^{2} +(0.0363696 + 0.0175147i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.426714 + 0.205495i) q^{5} +(0.0363696 - 0.0175147i) q^{6} +(2.62504 - 0.330433i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(-1.86945 - 2.34422i) q^{9} +O(q^{10})$	\(q+(0.623490 - 0.781831i) q^{2} +(0.0363696 + 0.0175147i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.426714 + 0.205495i) q^{5} +(0.0363696 - 0.0175147i) q^{6} +(2.62504 - 0.330433i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(-1.86945 - 2.34422i) q^{9} +(0.426714 - 0.205495i) q^{10} +(-1.59261 + 1.99707i) q^{11} +(0.00898255 - 0.0393551i) q^{12} +(-3.12798 + 3.92236i) q^{13} +(1.37834 - 2.25836i) q^{14} +(0.0119203 + 0.0149475i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-1.14851 + 5.03195i) q^{17} -2.99837 q^{18} +4.13263 q^{19} +(0.105390 - 0.461742i) q^{20} +(0.101259 + 0.0339589i) q^{21} +(0.568397 + 2.49031i) q^{22} +(-0.888411 - 3.89238i) q^{23} +(-0.0251685 - 0.0315604i) q^{24} +(-2.97759 - 3.73378i) q^{25} +(1.11636 + 4.89111i) q^{26} +(-0.0538807 - 0.236067i) q^{27} +(-0.906274 - 2.48569i) q^{28} +(-1.15082 + 5.04206i) q^{29} +0.0191186 q^{30} +2.49384 q^{31} +(-0.222521 + 0.974928i) q^{32} +(-0.0929008 + 0.0447386i) q^{33} +(3.21805 + 4.03531i) q^{34} +(1.18804 + 0.398431i) q^{35} +(-1.86945 + 2.34422i) q^{36} +(1.21027 - 5.30252i) q^{37} +(2.57665 - 3.23102i) q^{38} +(-0.182462 + 0.0878692i) q^{39} +(-0.295295 - 0.370289i) q^{40} +(-7.96453 - 3.83552i) q^{41} +(0.0896841 - 0.0579944i) q^{42} +(3.66460 - 1.76478i) q^{43} +(2.30139 + 1.10829i) q^{44} +(-0.315997 - 1.38447i) q^{45} +(-3.59710 - 1.73227i) q^{46} +(3.64462 - 4.57021i) q^{47} -0.0403672 q^{48} +(6.78163 - 1.73480i) q^{49} -4.77569 q^{50} +(-0.129904 + 0.162894i) q^{51} +(4.52006 + 2.17675i) q^{52} +(-0.588373 - 2.57783i) q^{53} +(-0.218158 - 0.105060i) q^{54} +(-1.08998 + 0.524906i) q^{55} +(-2.50845 - 0.841251i) q^{56} +(0.150302 + 0.0723816i) q^{57} +(3.22452 + 4.04342i) q^{58} +(-4.14784 + 1.99750i) q^{59} +(0.0119203 - 0.0149475i) q^{60} +(1.23489 - 5.41042i) q^{61} +(1.55489 - 1.94976i) q^{62} +(-5.68199 - 5.53593i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-2.14078 + 1.03094i) q^{65} +(-0.0229446 + 0.100527i) q^{66} +15.0892 q^{67} +5.16136 q^{68} +(0.0358627 - 0.157125i) q^{69} +(1.05224 - 0.680431i) q^{70} +(-0.0799437 - 0.350256i) q^{71} +(0.667200 + 2.92320i) q^{72} +(9.16253 + 11.4895i) q^{73} +(-3.39109 - 4.25229i) q^{74} +(-0.0428979 - 0.187948i) q^{75} +(-0.919596 - 4.02901i) q^{76} +(-3.52077 + 5.76864i) q^{77} +(-0.0450645 + 0.197440i) q^{78} -8.73627 q^{79} -0.473617 q^{80} +(-1.99943 + 8.76006i) q^{81} +(-7.96453 + 3.83552i) q^{82} +(1.09589 + 1.37420i) q^{83} +(0.0105753 - 0.106277i) q^{84} +(-1.52412 + 1.91119i) q^{85} +(0.905081 - 3.96542i) q^{86} +(-0.130165 + 0.163222i) q^{87} +(2.30139 - 1.10829i) q^{88} +(0.165279 + 0.207253i) q^{89} +(-1.27945 - 0.616149i) q^{90} +(-6.91498 + 11.3299i) q^{91} +(-3.59710 + 1.73227i) q^{92} +(0.0907001 + 0.0436789i) q^{93} +(-1.30075 - 5.69895i) q^{94} +(1.76345 + 0.849233i) q^{95} +(-0.0251685 + 0.0315604i) q^{96} -4.38440 q^{97} +(2.87196 - 6.38372i) q^{98} +7.65889 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{1}{7}\right)$

Coefficient data

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

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

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

$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$2$	0.623490	−	0.781831i	0.440874	−	0.552838i
$3$	0.0363696	+	0.0175147i	0.0209980	+	0.0101121i	0.444353	−	0.895852i	$-0.353434\pi$
$3$	0.0363696	+	0.0175147i	0.0209980	+	0.0101121i	−0.423355	+	0.905964i	$0.639148\pi$
$4$	−0.222521	−	0.974928i	−0.111260	−	0.487464i
$5$	0.426714	+	0.205495i	0.190832	+	0.0919000i	0.526860	−	0.849952i	$-0.323369\pi$
$5$	0.426714	+	0.205495i	0.190832	+	0.0919000i	−0.336028	+	0.941852i	$0.609084\pi$
$6$	0.0363696	−	0.0175147i	0.0148478	−	0.00715034i
$7$	2.62504	−	0.330433i	0.992170	−	0.124892i
$7$	2.62504	−	0.330433i	0.992170	−	0.124892i
$8$	−0.900969	−	0.433884i	−0.318541	−	0.153401i
$9$	−1.86945	−	2.34422i	−0.623151	−	0.781407i
$10$	0.426714	−	0.205495i	0.134939	−	0.0649831i
$11$	−1.59261	+	1.99707i	−0.480191	+	0.602140i	−0.961633	−	0.274338i	$-0.911541\pi$
$11$	−1.59261	+	1.99707i	−0.480191	+	0.602140i	0.481443	+	0.876477i	$0.340113\pi$
$12$	0.00898255	−	0.0393551i	0.00259304	−	0.0113608i
$13$	−3.12798	+	3.92236i	−0.867546	+	1.08787i	0.127829	+	0.991796i	$0.459199\pi$
$13$	−3.12798	+	3.92236i	−0.867546	+	1.08787i	−0.995374	+	0.0960715i	$0.969372\pi$
$14$	1.37834	−	2.25836i	0.368377	−	0.603571i
$15$	0.0119203	+	0.0149475i	0.00307780	+	0.00385943i
$16$	−0.900969	+	0.433884i	−0.225242	+	0.108471i
$17$	−1.14851	+	5.03195i	−0.278554	+	1.22043i	0.621067	+	0.783757i	$0.286699\pi$
$17$	−1.14851	+	5.03195i	−0.278554	+	1.22043i	−0.899622	+	0.436670i	$0.856158\pi$
$18$	−2.99837			−0.706723
$19$	4.13263			0.948090			0.474045	−	0.880501i	$-0.342793\pi$
$19$	4.13263			0.948090			0.474045	+	0.880501i	$0.342793\pi$
$20$	0.105390	−	0.461742i	0.0235659	−	0.103249i
$21$	0.101259	+	0.0339589i	0.0220965	+	0.00741045i
$22$	0.568397	+	2.49031i	0.121183	+	0.530936i
$23$	−0.888411	−	3.89238i	−0.185246	−	0.811618i	−0.979079	−	0.203481i	$-0.934774\pi$
$23$	−0.888411	−	3.89238i	−0.185246	−	0.811618i	0.793832	−	0.608137i	$-0.208083\pi$
$24$	−0.0251685	−	0.0315604i	−0.00513751	−	0.00644223i
$25$	−2.97759	−	3.73378i	−0.595518	−	0.746756i
$26$	1.11636	+	4.89111i	0.218937	+	0.959225i
$27$	−0.0538807	−	0.236067i	−0.0103693	−	0.0454310i
$28$	−0.906274	−	2.48569i	−0.171270	−	0.469752i
$29$	−1.15082	+	5.04206i	−0.213701	+	0.936287i	0.748325	+	0.663332i	$0.230858\pi$
$29$	−1.15082	+	5.04206i	−0.213701	+	0.936287i	−0.962027	+	0.272955i	$0.911999\pi$
$30$	0.0191186			0.00349056
$31$	2.49384			0.447907			0.223954	−	0.974600i	$-0.428104\pi$
$31$	2.49384			0.447907			0.223954	+	0.974600i	$0.428104\pi$
$32$	−0.222521	+	0.974928i	−0.0393365	+	0.172345i
$33$	−0.0929008	+	0.0447386i	−0.0161719	+	0.00778800i
$34$	3.21805	+	4.03531i	0.551891	+	0.692050i
$35$	1.18804	+	0.398431i	0.200816	+	0.0673471i
$36$	−1.86945	+	2.34422i	−0.311576	+	0.390703i
$37$	1.21027	−	5.30252i	0.198967	−	0.871729i	−0.772587	−	0.634909i	$-0.781038\pi$
$37$	1.21027	−	5.30252i	0.198967	−	0.871729i	0.971553	−	0.236820i	$-0.0761053\pi$
$38$	2.57665	−	3.23102i	0.417988	−	0.524140i
$39$	−0.182462	+	0.0878692i	−0.0292174	+	0.0140703i
$40$	−0.295295	−	0.370289i	−0.0466903	−	0.0585478i
$41$	−7.96453	−	3.83552i	−1.24385	−	0.599007i	−0.307994	−	0.951388i	$-0.599658\pi$
$41$	−7.96453	−	3.83552i	−1.24385	−	0.599007i	−0.935856	+	0.352381i	$0.885372\pi$
$42$	0.0896841	−	0.0579944i	0.0138386	−	0.00894873i
$43$	3.66460	−	1.76478i	0.558846	−	0.269126i	−0.133067	−	0.991107i	$-0.542482\pi$
$43$	3.66460	−	1.76478i	0.558846	−	0.269126i	0.691913	+	0.721981i	$0.256768\pi$
$44$	2.30139	+	1.10829i	0.346948	+	0.167081i
$45$	−0.315997	−	1.38447i	−0.0471061	−	0.206385i
$46$	−3.59710	−	1.73227i	−0.530364	−	0.255410i
$47$	3.64462	−	4.57021i	0.531622	−	0.666633i	−0.441409	−	0.897306i	$-0.645521\pi$
$47$	3.64462	−	4.57021i	0.531622	−	0.666633i	0.973031	+	0.230673i	$0.0740927\pi$
$48$	−0.0403672			−0.00582651
$49$	6.78163	−	1.73480i	0.968804	−	0.247828i
$50$	−4.77569			−0.675384
$51$	−0.129904	+	0.162894i	−0.0181902	+	0.0228098i
$52$	4.52006	+	2.17675i	0.626820	+	0.301861i
$53$	−0.588373	−	2.57783i	−0.0808193	−	0.354093i	0.918308	−	0.395867i	$-0.129556\pi$
$53$	−0.588373	−	2.57783i	−0.0808193	−	0.354093i	−0.999127	+	0.0417747i	$0.986699\pi$
$54$	−0.218158	−	0.105060i	−0.0296876	−	0.0142968i
$55$	−1.08998	+	0.524906i	−0.146973	+	0.0707783i
$56$	−2.50845	−	0.841251i	−0.335205	−	0.112417i
$57$	0.150302	+	0.0723816i	0.0199080	+	0.00958718i
$58$	3.22452	+	4.04342i	0.423400	+	0.530927i
$59$	−4.14784	+	1.99750i	−0.540003	+	0.260052i	−0.683944	−	0.729534i	$-0.739737\pi$
$59$	−4.14784	+	1.99750i	−0.540003	+	0.260052i	0.143941	+	0.989586i	$0.454022\pi$
$60$	0.0119203	−	0.0149475i	0.00153890	−	0.00192972i
$61$	1.23489	−	5.41042i	0.158112	−	0.692734i	−0.832270	−	0.554371i	$-0.812959\pi$
$61$	1.23489	−	5.41042i	0.158112	−	0.692734i	0.990382	−	0.138363i	$-0.0441840\pi$
$62$	1.55489	−	1.94976i	0.197471	−	0.247620i
$63$	−5.68199	−	5.53593i	−0.715864	−	0.697462i
$64$	0.623490	+	0.781831i	0.0779362	+	0.0977289i
$65$	−2.14078	+	1.03094i	−0.265531	+	0.127873i
$66$	−0.0229446	+	0.100527i	−0.00282428	+	0.0123740i
$67$	15.0892			1.84344			0.921721	−	0.387852i	$-0.126783\pi$
$67$	15.0892			1.84344			0.921721	+	0.387852i	$0.126783\pi$
$68$	5.16136			0.625906
$69$	0.0358627	−	0.157125i	0.00431736	−	0.0189156i
$70$	1.05224	−	0.680431i	0.125766	−	0.0813271i
$71$	−0.0799437	−	0.350256i	−0.00948757	−	0.0415678i	0.969963	−	0.243254i	$-0.0782149\pi$
$71$	−0.0799437	−	0.350256i	−0.00948757	−	0.0415678i	−0.979450	+	0.201686i	$0.935358\pi$
$72$	0.667200	+	2.92320i	0.0786303	+	0.344502i
$73$	9.16253	+	11.4895i	1.07239	+	1.34474i	0.935170	+	0.354199i	$0.115246\pi$
$73$	9.16253	+	11.4895i	1.07239	+	1.34474i	0.137224	+	0.990540i	$0.456182\pi$
$74$	−3.39109	−	4.25229i	−0.394206	−	0.494319i
$75$	−0.0428979	−	0.187948i	−0.00495342	−	0.0217023i
$76$	−0.919596	−	4.02901i	−0.105485	−	0.462159i
$77$	−3.52077	+	5.76864i	−0.401228	+	0.657397i
$78$	−0.0450645	+	0.197440i	−0.00510255	+	0.0223557i
$79$	−8.73627			−0.982907			−0.491454	−	0.870904i	$-0.663534\pi$
$79$	−8.73627			−0.982907			−0.491454	+	0.870904i	$0.663534\pi$
$80$	−0.473617			−0.0529520
$81$	−1.99943	+	8.76006i	−0.222158	+	0.973340i
$82$	−7.96453	+	3.83552i	−0.879535	+	0.423562i
$83$	1.09589	+	1.37420i	0.120290	+	0.150838i	0.838330	−	0.545163i	$-0.183532\pi$
$83$	1.09589	+	1.37420i	0.120290	+	0.150838i	−0.718040	+	0.696001i	$0.754961\pi$
$84$	0.0105753	−	0.106277i	0.00115386	−	0.0115957i
$85$	−1.52412	+	1.91119i	−0.165314	+	0.207298i
$86$	0.905081	−	3.96542i	0.0975974	−	0.427602i
$87$	−0.130165	+	0.163222i	−0.0139551	+	0.0174992i
$88$	2.30139	−	1.10829i	0.245329	−	0.118144i
$89$	0.165279	+	0.207253i	0.0175195	+	0.0219688i	0.790514	−	0.612444i	$-0.209813\pi$
$89$	0.165279	+	0.207253i	0.0175195	+	0.0219688i	−0.772995	+	0.634413i	$0.781242\pi$
$90$	−1.27945	−	0.616149i	−0.134866	−	0.0649478i
$91$	−6.91498	+	11.3299i	−0.724887	+	1.18770i
$92$	−3.59710	+	1.73227i	−0.375024	+	0.180602i
$93$	0.0907001	+	0.0436789i	0.00940516	+	0.00452929i
$94$	−1.30075	−	5.69895i	−0.134162	−	0.587802i
$95$	1.76345	+	0.849233i	0.180926	+	0.0871295i
$96$	−0.0251685	+	0.0315604i	−0.00256875	+	0.00322112i
$97$	−4.38440			−0.445168			−0.222584	−	0.974914i	$-0.571449\pi$
$97$	−4.38440			−0.445168			−0.222584	+	0.974914i	$0.571449\pi$
$98$	2.87196	−	6.38372i	0.290111	−	0.644853i
$99$	7.65889			0.769748
$100$	−2.97759	+	3.73378i	−0.297759	+	0.373378i
$101$	−12.4560	−	5.99850i	−1.23942	−	0.596873i	−0.304764	−	0.952428i	$-0.598578\pi$
$101$	−12.4560	−	5.99850i	−1.23942	−	0.596873i	−0.934655	+	0.355555i	$0.884292\pi$
$102$	0.0463621	+	0.203126i	0.00459054	+	0.0201124i
$103$	−16.1811	−	7.79240i	−1.59437	−	0.767808i	−0.595014	−	0.803716i	$-0.702853\pi$
$103$	−16.1811	−	7.79240i	−1.59437	−	0.767808i	−0.999355	+	0.0359080i	$0.988568\pi$
$104$	4.52006	−	2.17675i	0.443229	−	0.213448i
$105$	0.0362302	+	0.0352989i	0.00353571	+	0.00344482i
$106$	−2.38228	−	1.14724i	−0.231387	−	0.111430i
$107$	10.0030	+	12.5434i	0.967028	+	1.21262i	0.977125	+	0.212666i	$0.0682146\pi$
$107$	10.0030	+	12.5434i	0.967028	+	1.21262i	−0.0100967	+	0.999949i	$0.503214\pi$
$108$	−0.218158	+	0.105060i	−0.0209923	+	0.0101094i
$109$	−2.76105	+	3.46225i	−0.264461	+	0.331624i	−0.896277	−	0.443495i	$-0.853738\pi$
$109$	−2.76105	+	3.46225i	−0.264461	+	0.331624i	0.631816	+	0.775118i	$0.282310\pi$
$110$	−0.269202	+	1.17945i	−0.0256674	+	0.112456i
$111$	0.136889	−	0.171653i	0.0129929	−	0.0162926i
$112$	−2.22171	+	1.43667i	−0.209932	+	0.135753i
$113$	−3.09645	−	3.88283i	−0.291290	−	0.365266i	0.614556	−	0.788873i	$-0.289335\pi$
$113$	−3.09645	−	3.88283i	−0.291290	−	0.365266i	−0.905846	+	0.423607i	$0.860764\pi$
$114$	0.150302	−	0.0723816i	0.0140771	−	0.00677916i
$115$	0.420767	−	1.84350i	0.0392367	−	0.171907i
$116$	5.17173			0.480183
$117$	15.0425			1.39068
$118$	−1.02443	+	4.48833i	−0.0943067	+	0.413185i
$119$	−1.35216	+	13.5886i	−0.123952	+	1.24566i
$120$	−0.00425429	−	0.0186393i	−0.000388362	−	0.00170152i
$121$	0.995845	+	4.36308i	0.0905314	+	0.396644i
$122$	−3.46010	−	4.33882i	−0.313262	−	0.392819i
$123$	−0.222489	−	0.278992i	−0.0200612	−	0.0251559i
$124$	−0.554932	−	2.43132i	−0.0498344	−	0.218339i
$125$	−1.03026	−	4.51385i	−0.0921490	−	0.403731i
$126$	−7.87083	+	0.990761i	−0.701189	+	0.0882640i
$127$	2.82621	−	12.3824i	0.250786	−	1.09876i	−0.680004	−	0.733208i	$-0.738022\pi$
$127$	2.82621	−	12.3824i	0.250786	−	1.09876i	0.930790	−	0.365555i	$-0.119121\pi$
$128$	1.00000			0.0883883
$129$	0.164190			0.0144561
$130$	−0.528729	+	2.31651i	−0.0463726	+	0.203171i
$131$	−16.8843	+	8.13106i	−1.47519	+	0.710414i	−0.986760	−	0.162189i	$-0.948145\pi$
$131$	−16.8843	+	8.13106i	−1.47519	+	0.710414i	−0.488431	+	0.872603i	$0.662430\pi$
$132$	0.0642893	+	0.0806163i	0.00559567	+	0.00701674i
$133$	10.8483	−	1.36556i	0.940666	−	0.118409i
$134$	9.40798	−	11.7972i	0.812726	−	1.01913i
$135$	0.0255188	−	0.111805i	0.00219631	−	0.00962266i
$136$	3.21805	−	4.03531i	0.275946	−	0.346025i
$137$	17.3439	−	8.35236i	1.48179	−	0.713590i	0.494008	−	0.869458i	$-0.335531\pi$
$137$	17.3439	−	8.35236i	1.48179	−	0.713590i	0.987778	+	0.155867i	$0.0498172\pi$
$138$	−0.100485	−	0.126004i	−0.00855385	−	0.0107262i
$139$	11.7481	+	5.65757i	0.996457	+	0.479868i	0.859735	−	0.510741i	$-0.170629\pi$
$139$	11.7481	+	5.65757i	0.996457	+	0.479868i	0.136723	+	0.990609i	$0.456343\pi$
$140$	0.124077	−	1.24691i	0.0104864	−	0.105384i
$141$	0.212599	−	0.102382i	0.0179041	−	0.00862214i
$142$	−0.323685	−	0.155879i	−0.0271631	−	0.0130810i
$143$	−2.85158	−	12.4936i	−0.238461	−	1.04477i
$144$	2.70144	+	1.30094i	0.225120	+	0.108412i
$145$	−1.52719	+	1.91503i	−0.126826	+	0.159035i
$146$	14.6956			1.21621
$147$	0.277030	+	0.0556841i	0.0228490	+	0.00459275i
$148$	−5.43889			−0.447074
$149$	8.16222	−	10.2351i	0.668675	−	0.838492i	−0.325582	−	0.945514i	$-0.605560\pi$
$149$	8.16222	−	10.2351i	0.668675	−	0.838492i	0.994257	+	0.107022i	$0.0341315\pi$
$150$	−0.173690	−	0.0836446i	−0.0141817	−	0.00682956i
$151$	−0.363845	−	1.59411i	−0.0296093	−	0.129727i	0.957963	−	0.286891i	$-0.0926219\pi$
$151$	−0.363845	−	1.59411i	−0.0296093	−	0.129727i	−0.987572	+	0.157164i	$0.949765\pi$
$152$	−3.72337	−	1.79308i	−0.302005	−	0.145438i
$153$	13.9431	−	6.71463i	1.12723	−	0.542846i
$154$	2.31494	+	6.34933i	0.186543	+	0.511644i
$155$	1.06416	+	0.512472i	0.0854752	+	0.0411627i
$156$	0.126268	+	0.158335i	0.0101095	+	0.0126769i
$157$	−0.204873	+	0.0986616i	−0.0163506	+	0.00787405i	−0.442041	−	0.896995i	$-0.645745\pi$
$157$	−0.204873	+	0.0986616i	−0.0163506	+	0.00787405i	0.425691	+	0.904869i	$0.360031\pi$
$158$	−5.44698	+	6.83029i	−0.433338	+	0.543389i
$159$	0.0237510	−	0.104060i	0.00188358	−	0.00825249i
$160$	−0.295295	+	0.370289i	−0.0233451	+	0.0292739i
$161$	−3.61828	−	9.92408i	−0.285161	−	0.782127i
$162$	5.60227	+	7.02502i	0.440156	+	0.551938i
$163$	−14.1838	+	6.83058i	−1.11096	+	0.535012i	−0.897089	−	0.441849i	$-0.854323\pi$
$163$	−14.1838	+	6.83058i	−1.11096	+	0.535012i	−0.213875	+	0.976861i	$0.568608\pi$
$164$	−1.96708	+	8.61832i	−0.153603	+	0.672978i
$165$	−0.0488356			−0.00380185
$166$	1.75767			0.136422
$167$	3.34975	−	14.6762i	0.259212	−	1.13568i	−0.662885	−	0.748721i	$-0.730668\pi$
$167$	3.34975	−	14.6762i	0.259212	−	1.13568i	0.922097	−	0.386959i	$-0.126475\pi$
$168$	−0.0764969	−	0.0745306i	−0.00590187	−	0.00575016i
$169$	−2.70790	−	11.8641i	−0.208300	−	0.912622i
$170$	0.543954	+	2.38322i	0.0417193	+	0.182784i
$171$	−7.72575	−	9.68779i	−0.590803	−	0.740844i
$172$	−2.53598	−	3.18002i	−0.193367	−	0.242474i
$173$	4.65772	+	20.4068i	0.354120	+	1.55150i	0.767566	+	0.640970i	$0.221468\pi$
$173$	4.65772	+	20.4068i	0.354120	+	1.55150i	−0.413446	+	0.910529i	$0.635675\pi$
$174$	0.0464553	+	0.203534i	0.00352177	+	0.0154299i
$175$	−9.05005	−	8.81742i	−0.684120	−	0.666534i
$176$	0.568397	−	2.49031i	0.0428445	−	0.187714i
$177$	−0.185841			−0.0139687
$178$	0.265086			0.0198691
$179$	−4.64963	+	20.3714i	−0.347530	+	1.52263i	0.435239	+	0.900315i	$0.356664\pi$
$179$	−4.64963	+	20.3714i	−0.347530	+	1.52263i	−0.782769	+	0.622313i	$0.786193\pi$
$180$	−1.27945	+	0.616149i	−0.0953644	+	0.0459251i
$181$	5.08463	+	6.37592i	0.377937	+	0.473918i	0.934026	−	0.357204i	$-0.116270\pi$
$181$	5.08463	+	6.37592i	0.377937	+	0.473918i	−0.556089	+	0.831123i	$0.687699\pi$
$182$	4.54668	+	12.4704i	0.337022	+	0.924371i
$183$	0.139674	−	0.175146i	0.0103250	−	0.0129472i
$184$	−0.888411	+	3.89238i	−0.0654945	+	0.286950i
$185$	1.60608	−	2.01396i	0.118081	−	0.148069i
$186$	0.0907001	−	0.0436789i	0.00665045	−	0.00320269i
$187$	−8.22004	−	10.3076i	−0.601109	−	0.753766i
$188$	−5.26663	−	2.53627i	−0.384108	−	0.184977i
$189$	−0.219443	−	0.601879i	−0.0159621	−	0.0437803i
$190$	1.76345	−	0.849233i	0.127934	−	0.0616098i
$191$	12.9115	+	6.21787i	0.934247	+	0.449910i	0.838136	−	0.545461i	$-0.183645\pi$
$191$	12.9115	+	6.21787i	0.934247	+	0.449910i	0.0961108	+	0.995371i	$0.469360\pi$
$192$	0.00898255	+	0.0393551i	0.000648260	+	0.00284021i
$193$	−4.59169	−	2.21124i	−0.330517	−	0.159169i	0.261264	−	0.965267i	$-0.415861\pi$
$193$	−4.59169	−	2.21124i	−0.330517	−	0.159169i	−0.591781	+	0.806099i	$0.701575\pi$
$194$	−2.73363	+	3.42786i	−0.196263	+	0.246106i
$195$	−0.0959159			−0.00686868
$196$	−3.20036	−	6.22557i	−0.228597	−	0.444684i
$197$	5.24569			0.373740			0.186870	−	0.982385i	$-0.440166\pi$
$197$	5.24569			0.373740			0.186870	+	0.982385i	$0.440166\pi$
$198$	4.77524	−	5.98796i	0.339362	−	0.425546i
$199$	−16.8831	−	8.13049i	−1.19681	−	0.576355i	−0.274047	−	0.961716i	$-0.588363\pi$
$199$	−16.8831	−	8.13049i	−1.19681	−	0.576355i	−0.922766	+	0.385361i	$0.874077\pi$
$200$	1.06269	+	4.65595i	0.0751436	+	0.329225i
$201$	0.548789	+	0.264283i	0.0387086	+	0.0186411i
$202$	−12.4560	+	5.99850i	−0.876402	+	0.422053i
$203$	−1.35487	+	13.6159i	−0.0950935	+	0.955646i
$204$	0.187716	+	0.0903995i	0.0131428	+	0.00632923i
$205$	−2.61040	−	3.27334i	−0.182318	−	0.228620i
$206$	−16.1811	+	7.79240i	−1.12739	+	0.542922i
$207$	−7.46376	+	9.35926i	−0.518767	+	0.650513i
$208$	1.11636	−	4.89111i	0.0774059	−	0.339137i
$209$	−6.58167	+	8.25315i	−0.455264	+	0.570883i
$210$	0.0501870	−	0.00631742i	0.00346323	−	0.000435943i
$211$	−9.51988	−	11.9375i	−0.655375	−	0.821815i	0.337456	−	0.941341i	$-0.390434\pi$
$211$	−9.51988	−	11.9375i	−0.655375	−	0.821815i	−0.992831	+	0.119527i	$0.961862\pi$
$212$	−2.38228	+	1.14724i	−0.163615	+	0.0787930i
$213$	0.00322710	−	0.0141389i	0.000221118	−	0.000968779i
$214$	16.0436			1.09672
$215$	1.92639			0.131379
$216$	−0.0538807	+	0.236067i	−0.00366612	+	0.0160623i
$217$	6.54643	−	0.824048i	0.444400	−	0.0559400i
$218$	0.985409	+	4.31736i	0.0667403	+	0.292408i
$219$	0.132004	+	0.578346i	0.00891998	+	0.0390810i
$220$	0.754288	+	0.945847i	0.0508541	+	0.0637690i
$221$	−16.1446	−	20.2447i	−1.08600	−	1.36181i
$222$	−0.0488551	−	0.214048i	−0.00327894	−	0.0143660i
$223$	3.11187	+	13.6340i	0.208386	+	0.913000i	0.965641	+	0.259880i	$0.0836830\pi$
$223$	3.11187	+	13.6340i	0.208386	+	0.913000i	−0.757255	+	0.653120i	$0.773460\pi$
$224$	−0.261977	+	2.63275i	−0.0175041	+	0.175908i
$225$	−3.18634	+	13.9603i	−0.212423	+	0.930684i
$226$	−4.96633			−0.330355
$227$	22.8804			1.51862			0.759312	−	0.650727i	$-0.225536\pi$
$227$	22.8804			1.51862			0.759312	+	0.650727i	$0.225536\pi$
$228$	0.0371215	−	0.162640i	0.00245843	−	0.0107711i
$229$	−17.2749	+	8.31915i	−1.14156	+	0.549745i	−0.906487	−	0.422233i	$-0.861246\pi$
$229$	−17.2749	+	8.31915i	−1.14156	+	0.549745i	−0.235070	+	0.971978i	$0.575532\pi$
$230$	−1.17896	−	1.47837i	−0.0777384	−	0.0974809i
$231$	−0.229085	+	0.148138i	−0.0150727	+	0.00974677i
$232$	3.22452	−	4.04342i	0.211700	−	0.265463i
$233$	0.516803	−	2.26426i	0.0338569	−	0.148337i	−0.955174	−	0.296044i	$-0.904332\pi$
$233$	0.516803	−	2.26426i	0.0338569	−	0.148337i	0.989031	+	0.147708i	$0.0471895\pi$
$234$	9.37884	−	11.7607i	0.613114	−	0.768821i
$235$	2.49436	−	1.20122i	0.162714	−	0.0783591i
$236$	2.87040	+	3.59936i	0.186847	+	0.234299i
$237$	−0.317735	−	0.153013i	−0.0206391	−	0.00993926i
$238$	9.78090	+	9.52948i	0.634002	+	0.617705i
$239$	3.37854	−	1.62702i	0.218540	−	0.105243i	−0.321411	−	0.946940i	$-0.604157\pi$
$239$	3.37854	−	1.62702i	0.218540	−	0.105243i	0.539951	+	0.841697i	$0.318443\pi$
$240$	−0.0172253	−	0.00829525i	−0.00111189	−	0.000535456i
$241$	1.27096	+	5.56844i	0.0818697	+	0.358695i	0.999224	−	0.0393761i	$-0.0125370\pi$
$241$	1.27096	+	5.56844i	0.0818697	+	0.358695i	−0.917355	+	0.398071i	$0.869680\pi$
$242$	4.03210	+	1.94176i	0.259193	+	0.124821i
$243$	−0.679059	+	0.851513i	−0.0435616	+	0.0546246i
$244$	−5.54956			−0.355274
$245$	3.25031	+	0.653326i	0.207655	+	0.0417395i
$246$	−0.356845			−0.0227516
$247$	−12.9268	+	16.2097i	−0.822511	+	1.03140i
$248$	−2.24687	−	1.08204i	−0.142677	−	0.0687095i
$249$	0.0157884	+	0.0691734i	0.00100055	+	0.00438369i
$250$	−4.17142	−	2.00885i	−0.263824	−	0.127051i
$251$	15.1670	−	7.30403i	0.957331	−	0.461026i	0.111080	−	0.993811i	$-0.464569\pi$
$251$	15.1670	−	7.30403i	0.957331	−	0.461026i	0.846250	+	0.532785i	$0.178855\pi$
$252$	−4.13277	+	6.77139i	−0.260340	+	0.426558i
$253$	9.18826	+	4.42483i	0.577661	+	0.278187i
$254$	−7.91886	−	9.92994i	−0.496874	−	0.623060i
$255$	−0.0889057	+	0.0428147i	−0.00556749	+	0.00268116i
$256$	0.623490	−	0.781831i	0.0389681	−	0.0488645i
$257$	5.04445	−	22.1012i	0.314664	−	1.37863i	−0.532108	−	0.846677i	$-0.678600\pi$
$257$	5.04445	−	22.1012i	0.314664	−	1.37863i	0.846772	−	0.531956i	$-0.178543\pi$
$258$	0.102371	−	0.128369i	0.00637331	−	0.00799188i
$259$	1.42486	−	14.3192i	0.0885367	−	0.889753i
$260$	1.48146	+	1.85770i	0.0918765	+	0.115210i
$261$	13.9711	−	6.72813i	0.864790	−	0.416461i
$262$	−4.17008	+	18.2703i	−0.257629	+	1.12874i
$263$	11.1902			0.690020			0.345010	−	0.938599i	$-0.387876\pi$
$263$	11.1902			0.690020			0.345010	+	0.938599i	$0.387876\pi$
$264$	0.103112			0.00634611
$265$	0.278664	−	1.22091i	0.0171182	−	0.0749996i
$266$	5.69617	−	9.33295i	0.349254	−	0.572240i
$267$	0.00238115	+	0.0104325i	0.000145724	+	0.000638459i
$268$	−3.35767	−	14.7109i	−0.205102	−	0.898612i
$269$	13.7395	+	17.2287i	0.837710	+	1.05045i	0.997989	+	0.0633829i	$0.0201889\pi$
$269$	13.7395	+	17.2287i	0.837710	+	1.05045i	−0.160280	+	0.987072i	$0.551240\pi$
$270$	−0.0715021	−	0.0896608i	−0.00435148	−	0.00545658i
$271$	2.66726	+	11.6860i	0.162025	+	0.709877i	0.989034	+	0.147688i	$0.0471833\pi$
$271$	2.66726	+	11.6860i	0.162025	+	0.709877i	−0.827009	+	0.562188i	$0.809960\pi$
$272$	−1.14851	−	5.03195i	−0.0696386	−	0.305107i
$273$	−0.449935	+	0.290951i	−0.0272313	+	0.0176092i
$274$	4.28358	−	18.7676i	0.258780	−	1.13379i
$275$	12.1988			0.735614
$276$	−0.161165			−0.00970102
$277$	1.80252	−	7.89737i	0.108303	−	0.474507i	−0.891467	−	0.453085i	$-0.850323\pi$
$277$	1.80252	−	7.89737i	0.108303	−	0.474507i	0.999771	−	0.0214221i	$-0.00681939\pi$
$278$	11.7481	−	5.65757i	0.704602	−	0.339318i
$279$	−4.66212	−	5.84612i	−0.279114	−	0.349998i
$280$	−0.897517	−	0.874446i	−0.0536369	−	0.0522581i
$281$	−19.6189	+	24.6014i	−1.17037	+	1.46759i	−0.315366	+	0.948970i	$0.602127\pi$
$281$	−19.6189	+	24.6014i	−1.17037	+	1.46759i	−0.855002	+	0.518624i	$0.826444\pi$
$282$	0.0525076	−	0.230051i	0.00312678	−	0.0136993i
$283$	−5.16541	+	6.47722i	−0.307052	+	0.385031i	−0.911285	−	0.411777i	$-0.864908\pi$
$283$	−5.16541	+	6.47722i	−0.307052	+	0.385031i	0.604233	+	0.796808i	$0.293480\pi$
$284$	−0.323685	+	0.155879i	−0.0192072	+	0.00924970i
$285$	0.0492619	+	0.0617725i	0.00291803	+	0.00365909i
$286$	−11.5458	−	5.56018i	−0.682719	−	0.328780i
$287$	−22.1746	−	7.43662i	−1.30892	−	0.438970i
$288$	2.70144	−	1.30094i	0.159184	−	0.0766589i
$289$	−8.68497	−	4.18246i	−0.510880	−	0.246027i
$290$	0.545047	+	2.38801i	0.0320062	+	0.140229i
$291$	−0.159459	−	0.0767913i	−0.00934764	−	0.00450159i
$292$	9.16253	−	11.4895i	0.536197	−	0.672370i
$293$	−16.2412			−0.948822			−0.474411	−	0.880303i	$-0.657339\pi$
$293$	−16.2412			−0.948822			−0.474411	+	0.880303i	$0.657339\pi$
$294$	0.216261	−	0.181872i	0.0126126	−	0.0106070i
$295$	−2.18042			−0.126949
$296$	−3.39109	+	4.25229i	−0.197103	+	0.247160i
$297$	0.557253	+	0.268359i	0.0323351	+	0.0155718i
$298$	−2.91306	−	12.7630i	−0.168749	−	0.739339i
$299$	18.0463	+	8.69062i	1.04364	+	0.502592i
$300$	−0.173690	+	0.0836446i	−0.0100280	+	0.00482922i
$301$	9.03656	−	5.84351i	0.520859	−	0.336814i
$302$	−1.47318	−	0.709446i	−0.0847720	−	0.0408240i
$303$	−0.347958	−	0.436326i	−0.0199897	−	0.0250663i
$304$	−3.72337	+	1.79308i	−0.213550	+	0.102840i
$305$	1.63876	−	2.05494i	0.0938351	−	0.117666i
$306$	3.44366	−	15.0876i	0.196861	−	0.862503i
$307$	−2.35215	+	2.94950i	−0.134244	+	0.168337i	−0.844410	−	0.535698i	$-0.820049\pi$
$307$	−2.35215	+	2.94950i	−0.134244	+	0.168337i	0.710166	+	0.704035i	$0.248620\pi$
$308$	6.40745	+	2.14885i	0.365098	+	0.122442i
$309$	−0.452018	−	0.566813i	−0.0257144	−	0.0322448i
$310$	1.06416	−	0.512472i	0.0604401	−	0.0291064i
$311$	5.15268	−	22.5754i	0.292182	−	1.28013i	−0.589301	−	0.807914i	$-0.700597\pi$
$311$	5.15268	−	22.5754i	0.292182	−	1.28013i	0.881482	−	0.472217i	$-0.156546\pi$
$312$	0.202518			0.0114653
$313$	27.7685			1.56957			0.784786	−	0.619767i	$-0.212773\pi$
$313$	27.7685			1.56957			0.784786	+	0.619767i	$0.212773\pi$
$314$	−0.0505994	+	0.221691i	−0.00285549	+	0.0125107i
$315$	−1.28698	−	3.52988i	−0.0725131	−	0.198886i
$316$	1.94400	+	8.51724i	0.109359	+	0.479132i
$317$	−0.314920	−	1.37975i	−0.0176877	−	0.0774947i	0.965314	−	0.261092i	$-0.0840828\pi$
$317$	−0.314920	−	1.37975i	−0.0176877	−	0.0774947i	−0.983001	+	0.183598i	$0.941226\pi$
$318$	−0.0665488	−	0.0834496i	−0.00373187	−	0.00467962i
$319$	−8.23656	−	10.3283i	−0.461159	−	0.578275i
$320$	0.105390	+	0.461742i	0.00589146	+	0.0258122i
$321$	0.144112	+	0.631398i	0.00804357	+	0.0352412i
$322$	−10.0149	−	3.35868i	−0.558110	−	0.187172i
$323$	−4.74636	+	20.7952i	−0.264095	+	1.15707i
$324$	8.98534			0.499185
$325$	23.9591			1.32901
$326$	−3.50312	+	15.3482i	−0.194020	+	0.850056i
$327$	−0.161059	+	0.0775618i	−0.00890656	+	0.00428918i
$328$	5.51163	+	6.91136i	0.304329	+	0.381616i
$329$	8.05711	−	13.2013i	0.444203	−	0.727809i
$330$	−0.0304485	+	0.0381812i	−0.00167614	+	0.00210181i
$331$	−1.84589	+	8.08737i	−0.101459	+	0.444522i	0.898525	+	0.438922i	$0.144640\pi$
$331$	−1.84589	+	8.08737i	−0.101459	+	0.444522i	−0.999984	+	0.00559988i	$0.998217\pi$
$332$	1.09589	−	1.37420i	0.0601448	−	0.0754192i
$333$	−14.6928	+	7.07569i	−0.805162	+	0.387745i
$334$	−9.38580	−	11.7694i	−0.513568	−	0.643994i
$335$	6.43879	+	3.10076i	0.351789	+	0.169412i
$336$	−0.105965	+	0.0133387i	−0.00578089	+	0.000727684i
$337$	−28.6482	+	13.7962i	−1.56057	+	0.751529i	−0.997207	−	0.0746829i	$-0.976206\pi$
$337$	−28.6482	+	13.7962i	−1.56057	+	0.751529i	−0.563359	+	0.826212i	$0.690491\pi$
$338$	−10.9641	−	5.28001i	−0.596366	−	0.287195i
$339$	−0.0446103	−	0.195450i	−0.00242290	−	0.0106154i
$340$	2.20242	+	1.06063i	0.119443	+	0.0575208i
$341$	−3.97172	+	4.98038i	−0.215081	+	0.269703i
$342$	−12.3911			−0.670036
$343$	17.2288	−	6.79478i	0.930267	−	0.366884i
$344$	−4.06740			−0.219299
$345$	0.0475914	−	0.0596777i	0.00256223	−	0.00321294i
$346$	18.8587	+	9.08187i	1.01385	+	0.488245i
$347$	−2.81817	−	12.3472i	−0.151287	−	0.662833i	−0.992512	−	0.122147i	$-0.961022\pi$
$347$	−2.81817	−	12.3472i	−0.151287	−	0.662833i	0.841225	−	0.540686i	$-0.181835\pi$
$348$	0.188094	+	0.0905811i	0.0100829	+	0.00485566i
$349$	−21.4052	+	10.3082i	−1.14580	+	0.551787i	−0.907768	−	0.419472i	$-0.862215\pi$
$349$	−21.4052	+	10.3082i	−1.14580	+	0.551787i	−0.238028	+	0.971258i	$0.576501\pi$
$350$	−12.5364	+	1.57804i	−0.670096	+	0.0843500i
$351$	1.09448	+	0.527072i	0.0584188	+	0.0281330i
$352$	−1.59261	−	1.99707i	−0.0848865	−	0.106444i
$353$	−6.78239	+	3.26623i	−0.360990	+	0.173844i	−0.605583	−	0.795782i	$-0.707060\pi$
$353$	−6.78239	+	3.26623i	−0.360990	+	0.173844i	0.244593	+	0.969626i	$0.421346\pi$
$354$	−0.115870	+	0.145296i	−0.00615842	+	0.00772241i
$355$	0.0378627	−	0.165887i	0.00200954	−	0.00880438i
$356$	0.165279	−	0.207253i	0.00875975	−	0.0109844i
$357$	−0.287177	+	0.470528i	−0.0151990	+	0.0249030i
$358$	13.0280	+	16.3366i	0.688550	+	0.863415i
$359$	12.1226	−	5.83795i	0.639808	−	0.308115i	−0.0857085	−	0.996320i	$-0.527315\pi$
$359$	12.1226	−	5.83795i	0.639808	−	0.308115i	0.725516	+	0.688205i	$0.241601\pi$
$360$	−0.315997	+	1.38447i	−0.0166545	+	0.0729682i
$361$	−1.92140			−0.101126
$362$	8.15511			0.428623
$363$	−0.0401995	+	0.176126i	−0.00210993	+	0.00924419i
$364$	12.5846	+	4.22046i	0.659612	+	0.221212i
$365$	1.54876	+	6.78557i	0.0810659	+	0.355173i
$366$	−0.0498492	−	0.218404i	−0.00260566	−	0.0114161i
$367$	23.0654	+	28.9231i	1.20400	+	1.50977i	0.805487	+	0.592614i	$0.201904\pi$
$367$	23.0654	+	28.9231i	1.20400	+	1.50977i	0.398518	+	0.917160i	$0.369525\pi$
$368$	2.48927	+	3.12145i	0.129762	+	0.162717i
$369$	5.89802	+	25.8409i	0.307039	+	1.34523i
$370$	−0.573203	−	2.51137i	−0.0297994	−	0.130560i
$371$	−2.39630	−	6.57249i	−0.124410	−	0.341226i
$372$	0.0224011	−	0.0981455i	0.00116144	−	0.00508861i
$373$	5.56697			0.288247			0.144123	−	0.989560i	$-0.453964\pi$
$373$	5.56697			0.288247			0.144123	+	0.989560i	$0.453964\pi$
$374$	−13.1839			−0.681724
$375$	0.0415886	−	0.182212i	0.00214763	−	0.00940936i
$376$	−5.26663	+	2.53627i	−0.271605	+	0.130798i
$377$	−16.1771	−	20.2854i	−0.833161	−	1.04475i
$378$	−0.607389	−	0.203698i	−0.0312407	−	0.0104771i
$379$	3.69954	−	4.63908i	0.190033	−	0.238294i	−0.677683	−	0.735354i	$-0.737016\pi$
$379$	3.69954	−	4.63908i	0.190033	−	0.238294i	0.867716	+	0.497060i	$0.165587\pi$
$380$	0.435536	−	1.90821i	0.0223425	−	0.0978891i
$381$	0.319662	−	0.400844i	0.0163768	−	0.0205359i
$382$	12.9115	−	6.21787i	0.660612	−	0.318134i
$383$	−8.86369	−	11.1147i	−0.452914	−	0.567936i	0.501982	−	0.864878i	$-0.332604\pi$
$383$	−8.86369	−	11.1147i	−0.452914	−	0.567936i	−0.954895	+	0.296943i	$0.904033\pi$
$384$	0.0363696	+	0.0175147i	0.00185598	+	0.000893792i
$385$	−2.68779	+	1.73806i	−0.136982	+	0.0885798i
$386$	−4.59169	+	2.21124i	−0.233711	+	0.112549i
$387$	−10.9878	−	5.29146i	−0.558543	−	0.268980i
$388$	0.975620	+	4.27447i	0.0495296	+	0.217003i
$389$	−34.4976	−	16.6132i	−1.74910	−	0.842320i	−0.978852	−	0.204571i	$-0.934420\pi$
$389$	−34.4976	−	16.6132i	−1.74910	−	0.842320i	−0.770244	−	0.637749i	$-0.779866\pi$
$390$	−0.0598026	+	0.0749901i	−0.00302822	+	0.00379727i
$391$	20.6066			1.04212
$392$	−6.86274	−	1.37944i	−0.346621	−	0.0696722i
$393$	−0.756489			−0.0381598
$394$	3.27063	−	4.10125i	0.164772	−	0.206618i
$395$	−3.72789	−	1.79526i	−0.187571	−	0.0903292i
$396$	−1.70426	−	7.46687i	−0.0856425	−	0.375224i
$397$	−13.1274	−	6.32184i	−0.658847	−	0.317284i	0.0744180	−	0.997227i	$-0.476290\pi$
$397$	−13.1274	−	6.32184i	−0.658847	−	0.317284i	−0.733265	+	0.679943i	$0.762004\pi$
$398$	−16.8831	+	8.13049i	−0.846275	+	0.407544i
$399$	0.418465	+	0.140340i	0.0209495	+	0.00702577i
$400$	4.30275	+	2.07209i	0.215137	+	0.103605i
$401$	−2.52466	−	3.16583i	−0.126076	−	0.158094i	0.714787	−	0.699342i	$-0.246523\pi$
$401$	−2.52466	−	3.16583i	−0.126076	−	0.158094i	−0.840863	+	0.541248i	$0.817952\pi$
$402$	0.548789	−	0.264283i	0.0273711	−	0.0131812i
$403$	−7.80069	+	9.78176i	−0.388580	+	0.487264i
$404$	−3.07638	+	13.4785i	−0.153056	+	0.670580i
$405$	−2.65333	+	3.32717i	−0.131845	+	0.165328i
$406$	9.80056	+	9.54863i	0.486394	+	0.473891i
$407$	8.66204	+	10.8619i	0.429361	+	0.538402i
$408$	0.187716	−	0.0903995i	0.00929335	−	0.00447544i
$409$	−1.77381	+	7.77158i	−0.0877094	+	0.384280i	−0.999662	−	0.0260166i	$-0.991718\pi$
$409$	−1.77381	+	7.77158i	−0.0877094	+	0.384280i	0.911952	+	0.410297i	$0.134575\pi$
$410$	−4.18676			−0.206769
$411$	0.777078			0.0383304
$412$	−3.99640	+	17.5094i	−0.196888	+	0.862624i
$413$	−10.2282	+	6.61408i	−0.503297	+	0.325458i
$414$	2.66379	+	11.6708i	0.130918	+	0.573589i
$415$	0.185241	+	0.811592i	0.00909310	+	0.0398395i
$416$	−3.12798	−	3.92236i	−0.153362	−	0.192310i
$417$	0.328182	+	0.411527i	0.0160711	+	0.0201526i
$418$	2.34897	+	10.2915i	0.114892	+	0.503374i
$419$	2.41714	+	10.5902i	0.118085	+	0.517365i	0.999025	+	0.0441376i	$0.0140540\pi$
$419$	2.41714	+	10.5902i	0.118085	+	0.517365i	−0.880940	+	0.473228i	$0.843089\pi$
$420$	0.0263519	−	0.0431766i	0.00128584	−	0.00210680i
$421$	1.32941	−	5.82452i	0.0647914	−	0.283870i	−0.932145	−	0.362085i	$-0.882065\pi$
$421$	1.32941	−	5.82452i	0.0647914	−	0.283870i	0.996936	+	0.0782153i	$0.0249222\pi$
$422$	−15.2687			−0.743268
$423$	−17.5270			−0.852193
$424$	−0.588373	+	2.57783i	−0.0285739	+	0.125191i
$425$	22.2080	−	10.6948i	1.07725	−	0.518774i
$426$	−0.00904215	−	0.0113385i	−0.000438093	−	0.000549352i
$427$	1.45386	−	14.6106i	0.0703571	−	0.707057i
$428$	10.0030	−	12.5434i	0.483514	−	0.606308i
$429$	0.115111	−	0.504332i	0.00555759	−	0.0243494i
$430$	1.20108	−	1.50611i	0.0579214	−	0.0726311i
$431$	2.66205	−	1.28198i	0.128226	−	0.0617506i	−0.368671	−	0.929560i	$-0.620187\pi$
$431$	2.66205	−	1.28198i	0.128226	−	0.0617506i	0.496897	+	0.867810i	$0.334473\pi$
$432$	0.150970	+	0.189311i	0.00726356	+	0.00910822i
$433$	10.1309	+	4.87879i	0.486860	+	0.234460i	0.661177	−	0.750230i	$-0.270057\pi$
$433$	10.1309	+	4.87879i	0.486860	+	0.234460i	−0.174316	+	0.984690i	$0.555772\pi$
$434$	3.43736	−	5.63199i	0.164999	−	0.270344i
$435$	−0.0890844	+	0.0429008i	−0.00427127	+	0.00205693i
$436$	3.98984	+	1.92140i	0.191079	+	0.0920186i
$437$	−3.67147	−	16.0858i	−0.175630	−	0.769486i
$438$	0.534472	+	0.257388i	0.0255381	+	0.0122985i
$439$	0.645230	−	0.809092i	0.0307951	−	0.0386159i	−0.766195	−	0.642608i	$-0.777853\pi$
$439$	0.645230	−	0.809092i	0.0307951	−	0.0386159i	0.796991	+	0.603992i	$0.206424\pi$
$440$	1.20978			0.0576742
$441$	−16.7447	−	12.6545i	−0.797366	−	0.602596i
$442$	−25.8940			−1.23165
$443$	7.72455	−	9.68628i	0.367005	−	0.460209i	−0.563701	−	0.825979i	$-0.690623\pi$
$443$	7.72455	−	9.68628i	0.367005	−	0.460209i	0.930705	+	0.365770i	$0.119194\pi$
$444$	−0.197810	−	0.0952604i	−0.00938766	−	0.00452086i
$445$	0.0279374	+	0.122402i	0.00132436	+	0.00580239i
$446$	12.5997	+	6.06770i	0.596613	+	0.287314i
$447$	0.476121	−	0.229288i	0.0225198	−	0.0108449i
$448$	1.89503	+	1.84631i	0.0895316	+	0.0872301i
$449$	−9.74865	−	4.69470i	−0.460067	−	0.221557i	0.189470	−	0.981886i	$-0.439323\pi$
$449$	−9.74865	−	4.69470i	−0.460067	−	0.221557i	−0.649537	+	0.760330i	$0.725037\pi$
$450$	8.92792	+	11.1953i	0.420866	+	0.527750i
$451$	20.3442	−	9.79725i	0.957971	−	0.461335i
$452$	−3.09645	+	3.88283i	−0.145645	+	0.182633i
$453$	0.0146874	−	0.0643498i	0.000690076	−	0.00302342i
$454$	14.2657	−	17.8886i	0.669522	−	0.839554i
$455$	−5.27896	+	3.41365i	−0.247482	+	0.160034i
$456$	−0.104012	−	0.130427i	−0.00487082	−	0.00610781i
$457$	−1.02091	+	0.491643i	−0.0477561	+	0.0229981i	−0.457609	−	0.889153i	$-0.651294\pi$
$457$	−1.02091	+	0.491643i	−0.0477561	+	0.0229981i	0.409853	+	0.912151i	$0.365580\pi$
$458$	−4.26655	+	18.6930i	−0.199363	+	0.873465i
$459$	1.24976			0.0583337
$460$	−1.89091			−0.0881640
$461$	−2.02139	+	8.85630i	−0.0941456	+	0.412479i	−0.999937	−	0.0112455i	$-0.996420\pi$
$461$	−2.02139	+	8.85630i	−0.0941456	+	0.412479i	0.905791	+	0.423724i	$0.139278\pi$
$462$	−0.0270130	+	0.271468i	−0.00125676	+	0.0126298i
$463$	−6.48280	−	28.4030i	−0.301281	−	1.32000i	−0.868195	−	0.496223i	$-0.834720\pi$
$463$	−6.48280	−	28.4030i	−0.301281	−	1.32000i	0.566914	−	0.823777i	$-0.308137\pi$
$464$	−1.15082	−	5.04206i	−0.0534254	−	0.234072i
$465$	0.0297272	+	0.0372768i	0.00137857	+	0.00172867i
$466$	−1.44805	−	1.81580i	−0.0670796	−	0.0841151i
$467$	−5.60787	−	24.5697i	−0.259501	−	1.13695i	−0.921786	−	0.387698i	$-0.873270\pi$
$467$	−5.60787	−	24.5697i	−0.259501	−	1.13695i	0.662285	−	0.749252i	$-0.269587\pi$
$468$	−3.34727	−	14.6653i	−0.154728	−	0.677906i
$469$	39.6098	−	4.98598i	1.82901	−	0.230231i
$470$	0.616057	−	2.69912i	0.0284166	−	0.124501i
$471$	−0.00917917			−0.000422954
$472$	4.60376			0.211905
$473$	−2.31190	+	10.1291i	−0.106301	+	0.465735i
$474$	−0.317735	+	0.153013i	−0.0145940	+	0.00702812i
$475$	−12.3053	−	15.4303i	−0.564605	−	0.707992i
$476$	13.5487	−	1.70548i	0.621006	−	0.0781707i
$477$	−4.94307	+	6.19841i	−0.226328	+	0.283806i
$478$	0.834431	−	3.65588i	0.0381660	−	0.167216i
$479$	1.28104	−	1.60637i	0.0585322	−	0.0733970i	−0.751704	−	0.659501i	$-0.770768\pi$
$479$	1.28104	−	1.60637i	0.0585322	−	0.0733970i	0.810236	+	0.586104i	$0.199339\pi$
$480$	−0.0172253	+	0.00829525i	−0.000786222	+	0.000378625i
$481$	17.0127	+	21.3333i	0.775714	+	0.972714i
$482$	5.14601	+	2.47819i	0.234394	+	0.112878i
$483$	0.0422216	−	0.424308i	0.00192115	−	0.0193067i
$484$	4.03210	−	1.94176i	0.183277	−	0.0882616i
$485$	−1.87088	−	0.900970i	−0.0849525	−	0.0409110i
$486$	0.242353	+	1.06182i	0.0109934	+	0.0481651i
$487$	33.3923	+	16.0809i	1.51315	+	0.728695i	0.992172	−	0.124875i	$-0.0398530\pi$
$487$	33.3923	+	16.0809i	1.51315	+	0.728695i	0.520978	+	0.853570i	$0.325567\pi$
$488$	−3.46010	+	4.33882i	−0.156631	+	0.196409i
$489$	−0.635496			−0.0287381
$490$	2.53733	−	2.13385i	0.114625	−	0.0963976i
$491$	34.9748			1.57839			0.789196	−	0.614141i	$-0.210497\pi$
$491$	34.9748			1.57839			0.789196	+	0.614141i	$0.210497\pi$
$492$	−0.222489	+	0.278992i	−0.0100306	+	0.0125779i
$493$	−24.0497	−	11.5817i	−1.08314	−	0.521614i
$494$	4.61351	+	20.2131i	0.207572	+	0.909431i
$495$	3.26816	+	1.57386i	0.146893	+	0.0707398i
$496$	−2.24687	+	1.08204i	−0.100888	+	0.0485849i
$497$	−0.325591	−	0.893019i	−0.0146048	−	0.0400574i
$498$	0.0639259	+	0.0307851i	0.00286459	+	0.00137951i
$499$	−19.4488	−	24.3880i	−0.870648	−	1.09176i	−0.995035	−	0.0995241i	$-0.968268\pi$
$499$	−19.4488	−	24.3880i	−0.870648	−	1.09176i	0.124387	−	0.992234i	$-0.460303\pi$
$500$	−4.17142	+	2.00885i	−0.186552	+	0.0898386i
$501$	0.378879	−	0.475099i	0.0169271	−	0.0212258i
$502$	3.74593	−	16.4120i	0.167189	−	0.732503i
$503$	8.25485	−	10.3513i	0.368065	−	0.461539i	−0.562965	−	0.826481i	$-0.690339\pi$
$503$	8.25485	−	10.3513i	0.368065	−	0.461539i	0.931031	+	0.364941i	$0.118911\pi$
$504$	2.71734	+	7.45303i	0.121040	+	0.331984i
$505$	−4.08250	−	5.11929i	−0.181669	−	0.227805i
$506$	9.18826	−	4.42483i	0.408468	−	0.196708i
$507$	0.109310	−	0.478920i	0.00485464	−	0.0212696i
$508$	−12.7009			−0.563510
$509$	−27.5122			−1.21945			−0.609727	−	0.792611i	$-0.708721\pi$
$509$	−27.5122			−1.21945			−0.609727	+	0.792611i	$0.708721\pi$
$510$	−0.0219579	+	0.0962038i	−0.000972312	+	0.00425998i
$511$	27.8485	+	27.1326i	1.23194	+	1.20028i
$512$	−0.222521	−	0.974928i	−0.00983413	−	0.0430861i
$513$	−0.222669	−	0.975575i	−0.00983106	−	0.0430727i
$514$	−14.1342	−	17.7238i	−0.623434	−	0.781761i
$515$	−5.30340	−	6.65025i	−0.233696	−	0.293045i
$516$	−0.0365356	−	0.160073i	−0.00160839	−	0.00704682i
$517$	3.32257	+	14.5571i	0.146126	+	0.640222i
$518$	−10.3068	−	10.0419i	−0.452856	−	0.441216i
$519$	−0.188019	+	0.823765i	−0.00825312	+	0.0361593i
$520$	2.37608			0.104198
$521$	16.4311			0.719858			0.359929	−	0.932980i	$-0.382801\pi$
$521$	16.4311			0.719858			0.359929	+	0.932980i	$0.382801\pi$
$522$	3.45058	−	15.1180i	0.151028	−	0.661695i
$523$	−3.98336	+	1.91828i	−0.174180	+	0.0838807i	−0.518942	−	0.854809i	$-0.673674\pi$
$523$	−3.98336	+	1.91828i	−0.174180	+	0.0838807i	0.344762	+	0.938690i	$0.387960\pi$
$524$	11.6843	+	14.6517i	0.510432	+	0.640061i
$525$	−0.174713	−	0.479195i	−0.00762508	−	0.0209138i
$526$	6.97700	−	8.74888i	0.304212	−	0.381469i
$527$	−2.86420	+	12.5489i	−0.124767	+	0.546638i
$528$	0.0642893	−	0.0806163i	0.00279783	−	0.00350837i
$529$	6.36092	−	3.06326i	0.276562	−	0.133185i
$530$	−0.780798	−	0.979090i	−0.0339157	−	0.0425290i
$531$	12.4368	+	5.98923i	0.539710	+	0.259911i
$532$	−3.74529	−	10.2724i	−0.162379	−	0.445367i
$533$	39.9572	−	19.2424i	1.73074	−	0.833479i
$534$	0.00964109	+	0.00464290i	0.000417211	+	0.000200918i
$535$	1.69083	+	7.40801i	0.0731009	+	0.320276i
$536$	−13.5949	−	6.54697i	−0.587211	−	0.282786i
$537$	−0.525903	+	0.659462i	−0.0226944	+	0.0284579i
$538$	22.0364			0.950056
$539$	−7.33599	+	16.3063i	−0.315983	+	0.702360i
$540$	−0.114680			−0.00493506
$541$	0.662328	−	0.830533i	0.0284757	−	0.0357074i	−0.767390	−	0.641181i	$-0.778445\pi$
$541$	0.662328	−	0.830533i	0.0284757	−	0.0357074i	0.795865	+	0.605474i	$0.207016\pi$
$542$	10.7995	+	5.20078i	0.463880	+	0.223393i
$543$	0.0732537	+	0.320945i	0.00314362	+	0.0137731i
$544$	−4.65022	−	2.23943i	−0.199377	−	0.0960147i
$545$	−1.88966	+	0.910010i	−0.0809439	+	0.0389805i
$546$	−0.0530550	+	0.533179i	−0.00227055	+	0.0228179i
$547$	1.31376	+	0.632674i	0.0561724	+	0.0270512i	0.461759	−	0.887005i	$-0.347218\pi$
$547$	1.31376	+	0.632674i	0.0561724	+	0.0270512i	−0.405587	+	0.914057i	$0.632933\pi$
$548$	−12.0023	−	15.0504i	−0.512714	−	0.642923i
$549$	−14.9918	+	7.21967i	−0.639835	+	0.308128i
$550$	7.60582	−	9.53739i	0.324313	−	0.406676i
$551$	−4.75590	+	20.8370i	−0.202608	+	0.887684i
$552$	−0.100485	+	0.126004i	−0.00427693	+	0.00536309i
$553$	−22.9330	+	2.88675i	−0.975212	+	0.122757i
$554$	−5.05056	−	6.33320i	−0.214578	−	0.269072i
$555$	0.0936863	−	0.0451169i	0.00397676	−	0.00191511i
$556$	2.90153	−	12.7124i	0.123052	−	0.539127i
$557$	10.3077			0.436751			0.218376	−	0.975865i	$-0.429924\pi$
$557$	10.3077			0.436751			0.218376	+	0.975865i	$0.429924\pi$
$558$	−7.47746			−0.316546
$559$	−4.54069	+	19.8941i	−0.192051	+	0.841430i
$560$	−1.24326	+	0.156499i	−0.0525374	+	0.00661328i
$561$	−0.118425	−	0.518855i	−0.00499992	−	0.0219061i
$562$	7.00192	+	30.6774i	0.295358	+	1.29405i
$563$	−16.6010	−	20.8170i	−0.699648	−	0.877331i	0.297349	−	0.954769i	$-0.403897\pi$
$563$	−16.6010	−	20.8170i	−0.699648	−	0.877331i	−0.996997	+	0.0774379i	$0.975326\pi$
$564$	−0.147123	−	0.184487i	−0.00619500	−	0.00776828i
$565$	−0.523400	−	2.29316i	−0.0220196	−	0.0964741i
$566$	1.84351	+	8.07696i	0.0774887	+	0.339500i
$567$	−2.35395	+	23.6561i	−0.0988567	+	0.993464i
$568$	−0.0799437	+	0.350256i	−0.00335436	+	0.0146964i
$569$	−6.35216			−0.266297			−0.133148	−	0.991096i	$-0.542509\pi$
$569$	−6.35216			−0.266297			−0.133148	+	0.991096i	$0.542509\pi$
$570$	0.0790100			0.00330937
$571$	1.97919	−	8.67139i	0.0828264	−	0.362886i	−0.916482	−	0.400076i	$-0.868984\pi$
$571$	1.97919	−	8.67139i	0.0828264	−	0.362886i	0.999308	+	0.0371901i	$0.0118407\pi$
$572$	−11.5458	+	5.56018i	−0.482755	+	0.232483i
$573$	0.360684	+	0.452283i	0.0150678	+	0.0188944i
$574$	−19.6398	+	12.7001i	−0.819749	+	0.530092i
$575$	−11.8880	+	14.9071i	−0.495763	+	0.621667i
$576$	0.667200	−	2.92320i	0.0278000	−	0.121800i
$577$	−22.2804	+	27.9387i	−0.927544	+	1.16310i	0.0587782	+	0.998271i	$0.481280\pi$
$577$	−22.2804	+	27.9387i	−0.927544	+	1.16310i	−0.986322	+	0.164832i	$0.947292\pi$
$578$	−8.68497	+	4.18246i	−0.361247	+	0.173967i
$579$	−0.128269	−	0.160844i	−0.00533067	−	0.00668445i
$580$	2.20685	+	1.06276i	0.0916344	+	0.0441288i
$581$	3.33084	+	3.24522i	0.138186	+	0.134634i
$582$	−0.159459	+	0.0767913i	−0.00660978	+	0.00318310i
$583$	6.08517	+	2.93046i	0.252022	+	0.121367i
$584$	−3.27007	−	14.3271i	−0.135316	−	0.592860i
$585$	6.41885	+	3.09115i	0.265387	+	0.127803i
$586$	−10.1262	+	12.6979i	−0.418311	+	0.524545i
$587$	−34.8097			−1.43675			−0.718376	−	0.695655i	$-0.755114\pi$
$587$	−34.8097			−1.43675			−0.718376	+	0.695655i	$0.755114\pi$
$588$	−0.00735685	−	0.282475i	−0.000303391	−	0.0116491i
$589$	10.3061			0.424656
$590$	−1.35947	+	1.70472i	−0.0559684	+	0.0701822i
$591$	0.190784	+	0.0918766i	0.00784779	+	0.00377930i
$592$	1.21027	+	5.30252i	0.0497416	+	0.217932i
$593$	−13.0067	−	6.26368i	−0.534120	−	0.257219i	0.147325	−	0.989088i	$-0.452934\pi$
$593$	−13.0067	−	6.26368i	−0.534120	−	0.257219i	−0.681445	+	0.731870i	$0.738648\pi$
$594$	0.557253	−	0.268359i	0.0228644	−	0.0110109i
$595$	−3.36936	+	5.52057i	−0.138130	+	0.226321i
$596$	−11.7947	−	5.68005i	−0.483132	−	0.232664i
$597$	−0.471630	−	0.591405i	−0.0193025	−	0.0242046i
$598$	18.0463	−	8.69062i	0.737967	−	0.355386i
$599$	−7.07834	+	8.87596i	−0.289213	+	0.362662i	−0.905119	−	0.425158i	$-0.860219\pi$
$599$	−7.07834	+	8.87596i	−0.289213	+	0.362662i	0.615906	+	0.787820i	$0.288790\pi$
$600$	−0.0428979	+	0.187948i	−0.00175130	+	0.00767294i
$601$	22.4369	−	28.1350i	0.915221	−	1.14765i	−0.0734116	−	0.997302i	$-0.523389\pi$
$601$	22.4369	−	28.1350i	0.915221	−	1.14765i	0.988633	−	0.150349i	$-0.0480399\pi$
$602$	1.06556	−	10.7084i	0.0434292	−	0.436443i
$603$	−28.2086	−	35.3725i	−1.14874	−	1.44048i
$604$	−1.47318	+	0.709446i	−0.0599429	+	0.0288670i
$605$	−0.471649	+	2.06643i	−0.0191753	+	0.0840124i
$606$	−0.558082			−0.0226705
$607$	−29.8361			−1.21101			−0.605504	−	0.795842i	$-0.707029\pi$
$607$	−29.8361			−1.21101			−0.605504	+	0.795842i	$0.707029\pi$
$608$	−0.919596	+	4.02901i	−0.0372945	+	0.163398i
$609$	−0.287754	+	0.471473i	−0.0116604	+	0.0191051i
$610$	−0.584867	−	2.56247i	−0.0236806	−	0.103751i
$611$	6.52572	+	28.5910i	0.264002	+	1.15667i
$612$	−9.64891	−	12.0994i	−0.390034	−	0.489087i
$613$	17.1447	+	21.4988i	0.692469	+	0.868329i	0.996436	−	0.0843539i	$-0.0268826\pi$
$613$	17.1447	+	21.4988i	0.692469	+	0.868329i	−0.303967	+	0.952683i	$0.598311\pi$
$614$	0.839473	+	3.67797i	0.0338784	+	0.148431i
$615$	−0.0376077	−	0.164770i	−0.00151649	−	0.00664418i
$616$	5.67502	−	3.66976i	0.228653	−	0.147859i
$617$	−0.190495	+	0.834612i	−0.00766903	+	0.0336002i	−0.978618	−	0.205688i	$-0.934057\pi$
$617$	−0.190495	+	0.834612i	−0.00766903	+	0.0336002i	0.970949	+	0.239288i	$0.0769140\pi$
$618$	−0.724981			−0.0291630
$619$	−38.6637			−1.55403			−0.777014	−	0.629484i	$-0.783266\pi$
$619$	−38.6637			−1.55403			−0.777014	+	0.629484i	$0.783266\pi$
$620$	0.262825	−	1.15151i	0.0105553	−	0.0462459i
$621$	−0.870993	+	0.419448i	−0.0349518	+	0.0168319i
$622$	−14.4375	−	18.1040i	−0.578890	−	0.725906i
$623$	0.502346	+	0.489433i	0.0201261	+	0.0196087i
$624$	0.126268	−	0.158335i	0.00505476	−	0.00633847i
$625$	−4.82550	+	21.1419i	−0.193020	+	0.845677i
$626$	17.3134	−	21.7103i	0.691983	−	0.867719i
$627$	−0.383924	+	0.184888i	−0.0153325	+	0.00738372i
$628$	0.141776	+	0.177782i	0.00565749	+	0.00709427i
$629$	25.2920	+	12.1800i	1.00846	+	0.485648i
$630$	−3.56219	−	1.19464i	−0.141921	−	0.0475957i
$631$	7.56857	−	3.64483i	0.301300	−	0.145099i	−0.277125	−	0.960834i	$-0.589382\pi$
$631$	7.56857	−	3.64483i	0.301300	−	0.145099i	0.578425	+	0.815735i	$0.303667\pi$
$632$	7.87111	+	3.79053i	0.313096	+	0.150779i
$633$	−0.137152	−	0.600901i	−0.00545130	−	0.0238837i
$634$	−1.27509	−	0.614049i	−0.0506401	−	0.0243870i
$635$	3.75051	−	4.70299i	0.148834	−	0.186632i
$636$	−0.106736			−0.00423236
$637$	−14.4083	+	32.0264i	−0.570877	+	1.26893i
$638$	−13.2104			−0.523005
$639$	−0.671627	+	0.842193i	−0.0265691	+	0.0333167i
$640$	0.426714	+	0.205495i	0.0168674	+	0.00812289i
$641$	8.82894	+	38.6821i	0.348722	+	1.52785i	0.780085	+	0.625673i	$0.215176\pi$
$641$	8.82894	+	38.6821i	0.348722	+	1.52785i	−0.431363	+	0.902178i	$0.641967\pi$
$642$	0.583499	+	0.280998i	0.0230289	+	0.0110901i
$643$	0.953361	−	0.459114i	0.0375969	−	0.0181057i	−0.414991	−	0.909826i	$-0.636215\pi$
$643$	0.953361	−	0.459114i	0.0375969	−	0.0181057i	0.452588	+	0.891720i	$0.350501\pi$
$644$	−8.87012	+	5.73588i	−0.349532	+	0.226025i
$645$	0.0700620	+	0.0337401i	0.00275869	+	0.00132851i
$646$	13.2990	+	16.6764i	0.523242	+	0.656125i
$647$	11.1784	−	5.38325i	0.439470	−	0.211637i	−0.201047	−	0.979582i	$-0.564434\pi$
$647$	11.1784	−	5.38325i	0.439470	−	0.211637i	0.640517	+	0.767944i	$0.278720\pi$
$648$	5.60227	−	7.02502i	0.220078	−	0.275969i
$649$	2.61676	−	11.4648i	0.102717	−	0.450032i
$650$	14.9383	−	18.7320i	0.585927	−	0.734729i
$651$	0.252524	+	0.0846883i	0.00989719	+	0.00331919i
$652$	9.81552	+	12.3083i	0.384405	+	0.482029i
$653$	6.79823	−	3.27386i	0.266035	−	0.128116i	−0.296111	−	0.955153i	$-0.595690\pi$
$653$	6.79823	−	3.27386i	0.266035	−	0.128116i	0.562147	+	0.827038i	$0.309976\pi$
$654$	−0.0397782	+	0.174280i	−0.00155545	+	0.00681488i
$655$	−8.87567			−0.346801
$656$	8.83996			0.345142
$657$	9.80488	−	42.9580i	0.382525	−	1.67595i
$658$	−5.29764	−	14.5302i	−0.206523	−	0.566444i
$659$	1.83605	+	8.04425i	0.0715222	+	0.313359i	0.998017	−	0.0629489i	$-0.0200505\pi$
$659$	1.83605	+	8.04425i	0.0715222	+	0.313359i	−0.926495	+	0.376308i	$0.877193\pi$
$660$	0.0108669	+	0.0476112i	0.000422995	+	0.00185326i
$661$	−6.05142	−	7.58824i	−0.235373	−	0.295148i	0.650091	−	0.759856i	$-0.274731\pi$
$661$	−6.05142	−	7.58824i	−0.235373	−	0.295148i	−0.885464	+	0.464708i	$0.846159\pi$
$662$	5.17207	+	6.48557i	0.201018	+	0.252069i
$663$	−0.232594	−	1.01906i	−0.00903319	−	0.0395770i
$664$	−0.391119	−	1.71360i	−0.0151784	−	0.0665007i
$665$	4.90973	+	1.64656i	0.190391	+	0.0638510i
$666$	−3.62883	+	15.8989i	−0.140614	+	0.616071i
$667$	20.6480			0.799495
$668$	−15.0537			−0.582443
$669$	−0.125618	+	0.550366i	−0.00485665	+	0.0212784i
$670$	6.43879	−	3.10076i	0.248752	−	0.119793i
$671$	8.83830	+	11.0829i	0.341199	+	0.427850i
$672$	−0.0556398	+	0.0911636i	−0.00214635	+	0.00351671i
$673$	13.2752	−	16.6466i	0.511723	−	0.641680i	−0.457106	−	0.889412i	$-0.651114\pi$
$673$	13.2752	−	16.6466i	0.511723	−	0.641680i	0.968829	+	0.247732i	$0.0796853\pi$
$674$	−7.07552	+	30.9999i	−0.272539	+	1.19407i
$675$	−0.720987	+	0.904089i	−0.0277508	+	0.0347984i
$676$	−10.9641	+	5.28001i	−0.421695	+	0.203077i
$677$	−16.5837	−	20.7954i	−0.637365	−	0.799230i	0.353306	−	0.935508i	$-0.385058\pi$
$677$	−16.5837	−	20.7954i	−0.637365	−	0.799230i	−0.990671	+	0.136277i	$0.956486\pi$
$678$	−0.180623	−	0.0869836i	−0.00693680	−	0.00334059i
$679$	−11.5092	+	1.44875i	−0.441682	+	0.0555979i
$680$	2.20242	−	1.06063i	0.0844591	−	0.0406733i
$681$	0.832151	+	0.400743i	0.0318881	+	0.0153565i
$682$	1.41749	+	6.21044i	0.0542786	+	0.237810i
$683$	21.9975	+	10.5935i	0.841713	+	0.405347i	0.804495	−	0.593960i	$-0.202436\pi$
$683$	21.9975	+	10.5935i	0.841713	+	0.405347i	0.0372179	+	0.999307i	$0.488150\pi$
$684$	−7.72575	+	9.68779i	−0.295402	+	0.370422i
$685$	9.11724			0.348352
$686$	5.42960	−	17.7065i	0.207303	−	0.676037i
$687$	−0.773989			−0.0295295
$688$	−2.53598	+	3.18002i	−0.0966834	+	0.121237i
$689$	11.9516	+	5.75559i	0.455320	+	0.219271i
$690$	−0.0169852	−	0.0744169i	−0.000646614	−	0.00283300i
$691$	12.9161	+	6.22006i	0.491351	+	0.236622i	0.663117	−	0.748516i	$-0.269233\pi$
$691$	12.9161	+	6.22006i	0.491351	+	0.236622i	−0.171766	+	0.985138i	$0.554947\pi$
$692$	18.8587	−	9.08187i	0.716900	−	0.345241i
$693$	20.1049	−	2.53075i	0.763721	−	0.0961353i
$694$	−11.4105	−	5.49502i	−0.433138	−	0.208588i
$695$	3.85046	+	4.82833i	0.146056	+	0.183149i
$696$	0.188094	−	0.0905811i	0.00712967	−	0.00343347i
$697$	28.4475	−	35.6720i	1.07752	−	1.35117i
$698$	−5.28666	+	23.1624i	−0.200103	+	0.876709i
$699$	0.0584537	−	0.0732986i	0.00221092	−	0.00277241i
$700$	−6.58252	+	10.7852i	−0.248796	+	0.407643i
$701$	−10.6252	−	13.3236i	−0.401308	−	0.503225i	0.539584	−	0.841932i	$-0.318582\pi$
$701$	−10.6252	−	13.3236i	−0.401308	−	0.503225i	−0.940892	+	0.338708i	$0.890010\pi$
$702$	1.09448	−	0.527072i	0.0413084	−	0.0198931i
$703$	5.00158	−	21.9133i	0.188638	−	0.826478i
$704$	−2.55435			−0.0962707
$705$	0.111758			0.00420905
$706$	−1.67511	+	7.33914i	−0.0630437	+	0.276212i
$707$	−34.6796	−	11.6304i	−1.30426	−	0.437406i
$708$	0.0413535	+	0.181182i	0.00155416	+	0.00680922i
$709$	−7.18866	−	31.4956i	−0.269976	−	1.18284i	−0.910040	−	0.414520i	$-0.863950\pi$
$709$	−7.18866	−	31.4956i	−0.269976	−	1.18284i	0.640065	−	0.768321i	$-0.278908\pi$
$710$	−0.106089	−	0.133031i	−0.00398145	−	0.00499258i
$711$	16.3321	+	20.4797i	0.612500	+	0.768051i
$712$	−0.0589873	−	0.258440i	−0.00221064	−	0.00968545i
$713$	−2.21556	−	9.70699i	−0.0829733	−	0.363530i
$714$	0.188822	+	0.517893i	0.00706648	+	0.0193817i
$715$	1.35056	−	5.91718i	0.0505080	−	0.221290i
$716$	20.8953			0.780893
$717$	0.151373			0.00565313
$718$	2.99404	−	13.1178i	0.111737	−	0.489550i
$719$	38.2699	−	18.4298i	1.42723	−	0.687316i	0.448747	−	0.893659i	$-0.351870\pi$
$719$	38.2699	−	18.4298i	1.42723	−	0.687316i	0.978480	+	0.206343i	$0.0661562\pi$
$720$	0.885405	+	1.11026i	0.0329971	+	0.0413770i
$721$	−45.0508	−	15.1086i	−1.67778	−	0.562672i
$722$	−1.19797	+	1.50221i	−0.0445839	+	0.0559065i
$723$	−0.0513051	+	0.224782i	−0.00190806	+	0.00835974i
$724$	5.08463	−	6.37592i	0.188969	−	0.236959i
$725$	22.2526	−	10.7163i	0.826442	−	0.397993i
$726$	0.112637	+	0.141242i	0.00418033	+	0.00524197i
$727$	−38.1163	−	18.3559i	−1.41366	−	0.680781i	−0.437775	−	0.899084i	$-0.644234\pi$
$727$	−38.1163	−	18.3559i	−1.41366	−	0.680781i	−0.975881	+	0.218303i	$0.929948\pi$
$728$	11.1461	−	7.20762i	0.413100	−	0.267132i
$729$	24.2469	−	11.6767i	0.898034	−	0.432470i
$730$	6.27081	+	3.01986i	0.232093	+	0.111770i
$731$	4.67145	+	20.4669i	0.172780	+	0.756997i
$732$	−0.201835	−	0.0971988i	−0.00746005	−	0.00359257i
$733$	−13.4840	+	16.9084i	−0.498044	+	0.624528i	−0.965787	−	0.259337i	$-0.916496\pi$
$733$	−13.4840	+	16.9084i	−0.498044	+	0.624528i	0.467743	+	0.883865i	$0.345067\pi$
$734$	36.9941			1.36548
$735$	0.106770	+	0.0806893i	0.00393826	+	0.00297627i
$736$	3.99248			0.147165
$737$	−24.0313	+	30.1343i	−0.885204	+	1.11001i
$738$	23.8806	+	11.5003i	0.879057	+	0.423332i
$739$	−6.55719	−	28.7289i	−0.241210	−	1.05681i	−0.939917	−	0.341403i	$-0.889098\pi$
$739$	−6.55719	−	28.7289i	−0.241210	−	1.05681i	0.698707	−	0.715408i	$-0.253759\pi$
$740$	−2.32085	−	1.11766i	−0.0853162	−	0.0410861i
$741$	−0.754049	+	0.363131i	−0.0277007	+	0.0133399i
$742$	−6.63265	−	2.22437i	−0.243492	−	0.0816593i
$743$	8.80907	+	4.24222i	0.323173	+	0.155632i	0.588435	−	0.808544i	$-0.299744\pi$
$743$	8.80907	+	4.24222i	0.323173	+	0.155632i	−0.265262	+	0.964176i	$0.585458\pi$
$744$	−0.0627664	−	0.0787066i	−0.00230113	−	0.00288552i
$745$	5.58619	−	2.69017i	0.204662	−	0.0985602i
$746$	3.47095	−	4.35243i	0.127080	−	0.159354i
$747$	1.17272	−	5.13802i	0.0429076	−	0.187990i
$748$	−8.22004	+	10.3076i	−0.300554	+	0.376883i
$749$	30.4030	+	29.6215i	1.11090	+	1.08235i
$750$	−0.116529	−	0.146122i	−0.00425502	−	0.00533563i
$751$	−4.50865	+	2.17125i	−0.164523	+	0.0792301i	−0.514333	−	0.857591i	$-0.671960\pi$
$751$	−4.50865	+	2.17125i	−0.164523	+	0.0792301i	0.349810	+	0.936821i	$0.386246\pi$
$752$	−1.30075	+	5.69895i	−0.0474334	+	0.207819i
$753$	0.679544			0.0247640
$754$	−25.9460			−0.944897
$755$	0.172323	−	0.754998i	0.00627149	−	0.0274772i
$756$	−0.537958	+	0.347872i	−0.0195654	+	0.0126520i
$757$	0.327969	+	1.43693i	0.0119202	+	0.0522260i	0.980538	−	0.196328i	$-0.0629018\pi$
$757$	0.327969	+	1.43693i	0.0119202	+	0.0522260i	−0.968618	+	0.248554i	$0.920045\pi$
$758$	−1.32035	−	5.78484i	−0.0479573	−	0.210115i
$759$	0.256674	+	0.321859i	0.00931667	+	0.0116827i
$760$	−1.22035	−	1.53026i	−0.0442666	−	0.0555085i
$761$	−11.4435	−	50.1374i	−0.414828	−	1.81748i	−0.560508	−	0.828149i	$-0.689394\pi$
$761$	−11.4435	−	50.1374i	−0.414828	−	1.81748i	0.145680	−	0.989332i	$-0.453463\pi$
$762$	−0.114086	−	0.499844i	−0.00413291	−	0.0181074i
$763$	−6.10382	+	10.0009i	−0.220973	+	0.362056i
$764$	3.18889	−	13.9714i	0.115370	−	0.505469i
$765$	7.32953			0.265000
$766$	−14.2163			−0.513654
$767$	5.13947	−	22.5175i	0.185575	−	0.813059i
$768$	0.0363696	−	0.0175147i	0.00131238	−	0.000632007i
$769$	−6.77030	−	8.48969i	−0.244143	−	0.306146i	0.644629	−	0.764496i	$-0.277012\pi$
$769$	−6.77030	−	8.48969i	−0.244143	−	0.306146i	−0.888772	+	0.458350i	$0.848441\pi$
$770$	−0.316936	+	3.18506i	−0.0114216	+	0.114782i
$771$	0.570559	−	0.715459i	0.0205482	−	0.0257666i
$772$	−1.13405	+	4.96861i	−0.0408155	+	0.178824i
$773$	14.1032	−	17.6849i	0.507258	−	0.636082i	−0.460591	−	0.887612i	$-0.652362\pi$
$773$	14.1032	−	17.6849i	0.507258	−	0.636082i	0.967849	+	0.251531i	$0.0809339\pi$
$774$	−10.9878	+	5.29146i	−0.394949	+	0.190198i
$775$	−7.42565	−	9.31147i	−0.266737	−	0.334478i
$776$	3.95020	+	1.90232i	0.141804	+	0.0682892i
$777$	0.302618	−	0.495829i	0.0108564	−	0.0177878i
$778$	−34.4976	+	16.6132i	−1.23680	+	0.595610i
$779$	−32.9144	−	15.8508i	−1.17928	−	0.567912i
$780$	0.0213433	+	0.0935111i	0.000764213	+	0.00334823i
$781$	0.826806	+	0.398169i	0.0295855	+	0.0142476i
$782$	12.8480	−	16.1109i	0.459444	−	0.576125i
$783$	1.25227			0.0447525
$784$	−5.35734	+	4.50544i	−0.191333	+	0.160908i
$785$	−0.107697			−0.00384386
$786$	−0.471663	+	0.591447i	−0.0168237	+	0.0210962i
$787$	7.65894	+	3.68835i	0.273012	+	0.131475i	0.565381	−	0.824830i	$-0.308729\pi$
$787$	7.65894	+	3.68835i	0.273012	+	0.131475i	−0.292369	+	0.956306i	$0.594444\pi$
$788$	−1.16728	−	5.11417i	−0.0415825	−	0.182185i
$789$	0.406985	+	0.195993i	0.0144890	+	0.00697755i
$790$	−3.72789	+	1.79526i	−0.132632	+	0.0638724i
$791$	−9.41132	−	9.16940i	−0.334628	−	0.326026i
$792$	−6.90042	−	3.32307i	−0.245196	−	0.118080i
$793$	17.3589	+	21.7674i	0.616433	+	0.772983i
$794$	−13.1274	+	6.32184i	−0.465875	+	0.224354i
$795$	0.0315187	−	0.0395231i	0.00111785	−	0.00140174i
$796$	−4.16979	+	18.2690i	−0.147794	+	0.647529i
$797$	−27.6666	+	34.6928i	−0.980000	+	1.22888i	−0.00655120	+	0.999979i	$0.502085\pi$
$797$	−27.6666	+	34.6928i	−0.980000	+	1.22888i	−0.973449	+	0.228903i	$0.926486\pi$
$798$	0.370631	−	0.239669i	0.0131202	−	0.00848419i
$799$	18.8112	+	23.5885i	0.665491	+	0.834500i
$800$	4.30275	−	2.07209i	0.152125	−	0.0732595i
$801$	0.176866	−	0.774899i	0.00624924	−	0.0273797i
$802$	−4.04924			−0.142984
$803$	−37.5376			−1.32467
$804$	0.135540	−	0.593839i	0.00478012	−	0.0209431i
$805$	0.495374	−	4.97829i	0.0174597	−	0.175461i
$806$	2.78403	+	12.1977i	0.0980634	+	0.429644i
$807$	0.197943	+	0.867245i	0.00696792	+	0.0305285i
$808$	8.61982	+	10.8089i	0.303244	+	0.380256i
$809$	22.3431	+	28.0173i	0.785541	+	0.985037i	0.999966	+	0.00829690i	$0.00264102\pi$
$809$	22.3431	+	28.0173i	0.785541	+	0.985037i	−0.214424	+	0.976741i	$0.568788\pi$
$810$	0.946962	+	4.14891i	0.0332729	+	0.145778i
$811$	−6.02898	−	26.4147i	−0.211706	−	0.927546i	−0.963407	−	0.268042i	$-0.913624\pi$
$811$	−6.02898	−	26.4147i	−0.211706	−	0.927546i	0.751701	−	0.659504i	$-0.229234\pi$
$812$	13.5760	−	1.70891i	0.476423	−	0.0599710i
$813$	−0.107670	+	0.471733i	−0.00377615	+	0.0165444i
$814$	13.8928			0.486943
$815$	−7.45609			−0.261176
$816$	0.0463621	−	0.203126i	0.00162300	−	0.00711082i
$817$	15.1444	−	7.29317i	0.529836	−	0.255156i
$818$	4.97011	+	6.23233i	0.173776	+	0.217908i
$819$	39.4871	−	4.97054i	1.37979	−	0.173685i
$820$	−2.61040	+	3.27334i	−0.0911591	+	0.114310i
$821$	3.45456	−	15.1354i	0.120565	−	0.528229i	−0.878189	−	0.478314i	$-0.841248\pi$
$821$	3.45456	−	15.1354i	0.120565	−	0.528229i	0.998753	−	0.0499146i	$-0.0158949\pi$
$822$	0.484500	−	0.607544i	0.0168989	−	0.0211905i
$823$	−31.3596	+	15.1020i	−1.09313	+	0.526422i	−0.891491	−	0.453039i	$-0.850340\pi$
$823$	−31.3596	+	15.1020i	−1.09313	+	0.526422i	−0.201635	+	0.979461i	$0.564626\pi$
$824$	11.1977	+	14.0414i	0.390089	+	0.489156i
$825$	0.443665	+	0.213658i	0.0154464	+	0.00743861i
$826$	−1.20608	+	12.1205i	−0.0419649	+	0.421728i
$827$	−24.8493	+	11.9668i	−0.864094	+	0.416126i	−0.812789	−	0.582558i	$-0.802052\pi$
$827$	−24.8493	+	11.9668i	−0.864094	+	0.416126i	−0.0513042	+	0.998683i	$0.516338\pi$
$828$	10.7854	+	5.19400i	0.374820	+	0.180504i
$829$	−8.05789	−	35.3039i	−0.279862	−	1.22616i	−0.897968	−	0.440061i	$-0.854957\pi$
$829$	−8.05789	−	35.3039i	−0.279862	−	1.22616i	0.618106	−	0.786095i	$-0.287900\pi$
$830$	0.750024	+	0.361192i	0.0260337	+	0.0125372i
$831$	0.203877	−	0.255654i	0.00707241	−	0.00886853i
$832$	−5.01689			−0.173929
$833$	0.940648	+	36.1172i	0.0325915	+	1.25139i
$834$	0.526363			0.0182264
$835$	4.44527	−	5.57420i	0.153835	−	0.192903i
$836$	9.51079	+	4.58015i	0.328938	+	0.158408i
$837$	−0.134370	−	0.588713i	−0.00464450	−	0.0203489i
$838$	9.78682	+	4.71308i	0.338080	+	0.162811i
$839$	−10.2370	+	4.92990i	−0.353422	+	0.170199i	−0.602167	−	0.798370i	$-0.705696\pi$
$839$	−10.2370	+	4.92990i	−0.353422	+	0.170199i	0.248746	+	0.968569i	$0.419982\pi$
$840$	−0.0173267	−	0.0475230i	−0.000597828	−	0.00163970i
$841$	2.03010	+	0.977642i	0.0700033	+	0.0337118i
$842$	−3.72492	−	4.67090i	−0.128369	−	0.160970i
$843$	−1.14442	+	0.551123i	−0.0394159	+	0.0189817i
$844$	−9.51988	+	11.9375i	−0.327688	+	0.410907i
$845$	1.28251	−	5.61903i	0.0441196	−	0.193301i
$846$	−10.9279	+	13.7032i	−0.375709	+	0.471125i
$847$	4.05584	+	11.1242i	0.139360	+	0.382232i
$848$	1.64859	+	2.06726i	0.0566127	+	0.0709900i
$849$	−0.301310	+	0.145103i	−0.0103409	+	0.00497994i
$850$	5.48492	−	24.0310i	0.188131	−	0.824257i
$851$	−21.7147			−0.744369
$852$	−0.0145025			−0.000496847
$853$	−1.00743	+	4.41386i	−0.0344939	+	0.151128i	−0.989242	−	0.146288i	$-0.953267\pi$
$853$	−1.00743	+	4.41386i	−0.0344939	+	0.151128i	0.954748	+	0.297415i	$0.0961246\pi$
$854$	−10.5166	−	10.2462i	−0.359870	−	0.350619i
$855$	−1.30590	−	5.72152i	−0.0446608	−	0.195672i
$856$	−3.57004	−	15.6413i	−0.122021	−	0.534610i
$857$	12.6597	+	15.8748i	0.432448	+	0.542273i	0.949535	−	0.313660i	$-0.101555\pi$
$857$	12.6597	+	15.8748i	0.432448	+	0.542273i	−0.517087	+	0.855933i	$0.672984\pi$
$858$	−0.322532	−	0.404443i	−0.0110111	−	0.0138075i
$859$	−2.38448	−	10.4471i	−0.0813574	−	0.356450i	0.917820	−	0.396996i	$-0.129947\pi$
$859$	−2.38448	−	10.4471i	−0.0813574	−	0.356450i	−0.999178	+	0.0405461i	$0.987090\pi$
$860$	−0.428662	−	1.87809i	−0.0146172	−	0.0640423i
$861$	−0.676230	−	0.658847i	−0.0230459	−	0.0224535i
$862$	0.657472	−	2.88057i	0.0223936	−	0.0981127i
$863$	−26.0139			−0.885524			−0.442762	−	0.896639i	$-0.646001\pi$
$863$	−26.0139			−0.885524			−0.442762	+	0.896639i	$0.646001\pi$
$864$	0.242138			0.00823769
$865$	−2.20597	+	9.66500i	−0.0750053	+	0.328620i
$866$	10.1309	−	4.87879i	0.344262	−	0.165788i
$867$	−0.242614	−	0.304229i	−0.00823962	−	0.0103322i
$868$	−2.26010	−	6.19893i	−0.0767129	−	0.210405i
$869$	13.9135	−	17.4470i	0.471983	−	0.591848i
$870$	−0.0220020	+	0.0963972i	−0.000745938	+	0.00326817i
$871$	−47.1988	+	59.1854i	−1.59927	+	2.00542i
$872$	3.98984	−	1.92140i	0.135113	−	0.0650670i
$873$	8.19642	+	10.2780i	0.277407	+	0.347857i
$874$	−14.8655	−	7.15884i	−0.502832	−	0.242151i
$875$	−4.19599	−	11.5086i	−0.141850	−	0.389061i
$876$	0.534472	−	0.257388i	0.0180581	−	0.00869634i
$877$	17.3081	+	8.33512i	0.584452	+	0.281457i	0.702653	−	0.711533i	$-0.251999\pi$
$877$	17.3081	+	8.33512i	0.584452	+	0.281457i	−0.118202	+	0.992990i	$0.537713\pi$
$878$	−0.230280	−	1.00892i	−0.00777157	−	0.0340495i
$879$	−0.590687	−	0.284460i	−0.0199234	−	0.00959459i
$880$	0.754288	−	0.945847i	0.0254270	−	0.0318845i
$881$	−9.60722			−0.323676			−0.161838	−	0.986817i	$-0.551742\pi$
$881$	−9.60722			−0.323676			−0.161838	+	0.986817i	$0.551742\pi$
$882$	−20.3338	+	5.20157i	−0.684676	+	0.175146i
$883$	−4.61278			−0.155232			−0.0776162	−	0.996983i	$-0.524731\pi$
$883$	−4.61278			−0.155232			−0.0776162	+	0.996983i	$0.524731\pi$
$884$	−16.1446	+	20.2447i	−0.543002	+	0.680903i
$885$	−0.0793010	−	0.0381893i	−0.00266567	−	0.00128372i
$886$	−2.75686	−	12.0786i	−0.0926186	−	0.405788i
$887$	53.1353	+	25.5886i	1.78411	+	0.859182i	0.952938	+	0.303165i	$0.0980432\pi$
$887$	53.1353	+	25.5886i	1.78411	+	0.859182i	0.831171	+	0.556017i	$0.187671\pi$
$888$	−0.197810	+	0.0952604i	−0.00663808	+	0.00319673i
$889$	3.32734	−	33.4382i	0.111595	−	1.12148i
$890$	0.113116	+	0.0544739i	0.00379166	+	0.00182597i
$891$	−14.3102	−	17.9444i	−0.479408	−	0.601159i
$892$	12.5997	−	6.06770i	0.421869	−	0.203162i
$893$	15.0618	−	18.8870i	0.504025	−	0.632028i
$894$	0.117592	−	0.515205i	0.00393287	−	0.0172310i
$895$	−6.17027	+	7.73728i	−0.206250	+	0.258629i
$896$	2.62504	−	0.330433i	0.0876963	−	0.0110390i
$897$	0.504122	+	0.632149i	0.0168321	+	0.0211068i
$898$	−9.74865	+	4.69470i	−0.325317	+	0.156664i
$899$	−2.86996	+	12.5741i	−0.0957185	+	0.419370i
$900$	14.3193			0.477309
$901$	13.6473			0.454657
$902$	5.02460	−	22.0142i	0.167301	−	0.732994i
$903$	0.431003	−	0.0542537i	0.0143429	−	0.00180545i
$904$	1.10511	+	4.84181i	0.0367555	+	0.161036i
$905$	0.859464	+	3.76556i	0.0285696	+	0.125171i
$906$	−0.0411533	−	0.0516046i	−0.00136723	−	0.00171445i
$907$	18.4122	+	23.0882i	0.611368	+	0.766632i	0.987101	−	0.160096i	$-0.0511805\pi$
$907$	18.4122	+	23.0882i	0.611368	+	0.766632i	−0.375733	+	0.926728i	$0.622609\pi$
$908$	−5.09136	−	22.3067i	−0.168963	−	0.740275i
$909$	9.22413	+	40.4135i	0.305945	+	1.34043i
$910$	−0.622480	+	6.25563i	−0.0206350	+	0.207372i
$911$	−3.43050	+	15.0300i	−0.113657	+	0.497966i	0.885770	+	0.464125i	$0.153631\pi$
$911$	−3.43050	+	15.0300i	−0.113657	+	0.497966i	−0.999427	+	0.0338410i	$0.989226\pi$
$912$	−0.166823			−0.00552405
$913$	−4.48971			−0.148588
$914$	−0.252143	+	1.10471i	−0.00834016	+	0.0365406i
$915$	0.0955927	−	0.0460350i	0.00316020	−	0.00152187i
$916$	11.9546	+	14.9906i	0.394991	+	0.495303i
$917$	−41.6352	+	26.9235i	−1.37492	+	0.889091i
$918$	0.779211	−	0.977100i	0.0257178	−	0.0322491i
$919$	10.0086	−	43.8505i	0.330153	−	1.44649i	−0.488681	−	0.872463i	$-0.662522\pi$
$919$	10.0086	−	43.8505i	0.330153	−	1.44649i	0.818834	−	0.574031i	$-0.194621\pi$
$920$	−1.17896	+	1.47837i	−0.0388692	+	0.0487404i
$921$	−0.137206	+	0.0660751i	−0.00452110	+	0.00217725i
$922$	5.66382	+	7.10220i	0.186528	+	0.233899i
$923$	1.62389	+	0.782026i	0.0534511	+	0.0257407i
$924$	0.195400	+	0.190377i	0.00642819	+	0.00626295i
$925$	−23.4021	+	11.2699i	−0.769458	+	0.370551i
$926$	−26.2483	−	12.6405i	−0.862574	−	0.415394i
$927$	11.9827	+	52.4995i	0.393563	+	1.72431i
$928$	−4.65957	−	2.24393i	−0.152958	−	0.0736606i
$929$	−1.27623	+	1.60035i	−0.0418718	+	0.0525056i	−0.802327	−	0.596885i	$-0.796405\pi$
$929$	−1.27623	+	1.60035i	−0.0418718	+	0.0525056i	0.760455	+	0.649391i	$0.224976\pi$
$930$	0.0476788			0.00156345
$931$	28.0259	−	7.16927i	0.918513	−	0.234963i
$932$	−2.32249			−0.0760757
$933$	0.582801	−	0.730809i	0.0190801	−	0.0239256i
$934$	−22.7058	−	10.9345i	−0.742957	−	0.357789i
$935$	−1.38945	−	6.08757i	−0.0454398	−	0.199085i
$936$	−13.5528	−	6.52669i	−0.442988	−	0.213332i
$937$	14.4374	−	6.95266i	0.471648	−	0.227134i	−0.182933	−	0.983125i	$-0.558559\pi$
$937$	14.4374	−	6.95266i	0.471648	−	0.227134i	0.654581	+	0.755992i	$0.272845\pi$
$938$	20.7981	−	34.0769i	0.679082	−	1.11265i
$939$	1.00993	+	0.486357i	0.0329579	+	0.0158717i
$940$	−1.72615	−	2.16453i	−0.0563009	−	0.0705991i
$941$	5.13576	−	2.47325i	0.167421	−	0.0806257i	−0.348296	−	0.937384i	$-0.613240\pi$
$941$	5.13576	−	2.47325i	0.167421	−	0.0806257i	0.515717	+	0.856759i	$0.327525\pi$
$942$	−0.00572312	+	0.00717656i	−0.000186469	+	0.000233825i
$943$	−7.85352	+	34.4085i	−0.255746	+	1.12050i
$944$	2.87040	−	3.59936i	0.0934235	−	0.117149i
$945$	0.0300436	−	0.301925i	0.000977320	−	0.00982162i
$946$	6.47779	+	8.12289i	0.210611	+	0.264098i
$947$	10.5263	−	5.06919i	0.342058	−	0.164726i	−0.254966	−	0.966950i	$-0.582064\pi$
$947$	10.5263	−	5.06919i	0.342058	−	0.164726i	0.597024	+	0.802224i	$0.296350\pi$
$948$	−0.0784740	+	0.343817i	−0.00254872	+	0.0111667i
$949$	−73.7260			−2.39325
$950$	−19.7361			−0.640325
$951$	0.0127124	−	0.0556969i	0.000412229	−	0.00180609i
$952$	7.11410	−	11.6562i	0.230569	−	0.377779i
$953$	−2.64799	−	11.6016i	−0.0857769	−	0.375813i	0.913760	−	0.406255i	$-0.133166\pi$
$953$	−2.64799	−	11.6016i	−0.0857769	−	0.375813i	−0.999537	+	0.0304420i	$0.990309\pi$
$954$	1.76416	+	7.72930i	0.0571168	+	0.250245i
$955$	4.23180	+	5.30651i	0.136938	+	0.171715i
$956$	−2.33802	−	2.93179i	−0.0756171	−	0.0948209i
$957$	−0.118663	−	0.519897i	−0.00383584	−	0.0168059i
$958$	−0.457198	−	2.00311i	−0.0147714	−	0.0647177i
$959$	42.7684	−	27.6562i	1.38106	−	0.893066i
$960$	−0.00425429	+	0.0186393i	−0.000137307	+	0.000601579i
$961$	−24.7807			−0.799379
$962$	27.2863			0.879746
$963$	10.7043	−	46.8986i	0.344941	−	1.51128i
$964$	5.14601	−	2.47819i	0.165742	−	0.0798171i
$965$	−1.50494	−	1.88714i	−0.0484457	−	0.0607490i
$966$	−0.305413	−	0.297562i	−0.00982649	−	0.00957390i
$967$	−22.6328	+	28.3806i	−0.727821	+	0.912658i	−0.998752	−	0.0499405i	$-0.984097\pi$
$967$	−22.6328	+	28.3806i	−0.727821	+	0.912658i	0.270932	+	0.962599i	$0.412668\pi$
$968$	0.995845	−	4.36308i	0.0320077	−	0.140235i
$969$	−0.536844	+	0.673181i	−0.0172459	+	0.0216257i
$970$	−1.87088	+	0.900970i	−0.0600705	+	0.0289284i
$971$	22.2920	+	27.9533i	0.715384	+	0.897063i	0.998067	−	0.0621503i	$-0.0197958\pi$
$971$	22.2920	+	27.9533i	0.715384	+	0.897063i	−0.282683	+	0.959213i	$0.591224\pi$
$972$	0.981268	+	0.472554i	0.0314742	+	0.0151572i
$973$	32.7085	+	10.9694i	1.04859	+	0.351662i
$974$	33.3923	−	16.0809i	1.06996	−	0.515265i
$975$	0.871383	+	0.419636i	0.0279066	+	0.0134391i
$976$	1.23489	+	5.41042i	0.0395280	+	0.173183i
$977$	−20.3330	−	9.79184i	−0.650509	−	0.313269i	0.0793697	−	0.996845i	$-0.474709\pi$
$977$	−20.3330	−	9.79184i	−0.650509	−	0.313269i	−0.729879	+	0.683577i	$0.760424\pi$
$978$	−0.396225	+	0.496851i	−0.0126699	+	0.0158875i
$979$	−0.677124			−0.0216410
$980$	−0.0863158	−	3.31420i	−0.00275726	−	0.105868i
$981$	13.2779			0.423932
$982$	21.8065	−	27.3444i	0.695872	−	0.872596i
$983$	21.4583	+	10.3338i	0.684414	+	0.329596i	0.743576	−	0.668652i	$-0.233128\pi$
$983$	21.4583	+	10.3338i	0.684414	+	0.329596i	−0.0591614	+	0.998248i	$0.518843\pi$
$984$	0.0794054	+	0.347898i	0.00253135	+	0.0110906i
$985$	2.23841	+	1.07796i	0.0713217	+	0.0343467i
$986$	−24.0497	+	11.5817i	−0.765898	+	0.368837i
$987$	0.524250	−	0.339007i	0.0166870	−	0.0107907i
$988$	18.6797	+	8.99568i	0.594281	+	0.286191i
$989$	−10.1249	−	12.6962i	−0.321952	−	0.403715i
$990$	3.26816	−	1.57386i	0.103869	−	0.0500206i
$991$	−1.34788	+	1.69018i	−0.0428167	+	0.0536905i	−0.802779	−	0.596277i	$-0.796646\pi$
$991$	−1.34788	+	1.69018i	−0.0428167	+	0.0536905i	0.759962	+	0.649967i	$0.225217\pi$
$992$	−0.554932	+	2.43132i	−0.0176191	+	0.0771944i
$993$	−0.208782	+	0.261804i	−0.00662550	+	0.00830811i
$994$	−0.901193	−	0.302231i	−0.0285841	−	0.00958618i
$995$	−5.53350	−	6.93879i	−0.175424	−	0.219974i
$996$	0.0639259	−	0.0307851i	0.00202557	−	0.000975462i
$997$	11.5813	−	50.7410i	0.366784	−	1.60698i	−0.368772	−	0.929520i	$-0.620222\pi$
$997$	11.5813	−	50.7410i	0.366784	−	1.60698i	0.735556	−	0.677464i	$-0.236921\pi$
$998$	−31.1935			−0.987411
$999$	−1.31696			−0.0416667

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.a.43.2	✓	18
3.2	odd	2		882.2.u.j.631.1		18
4.3	odd	2		784.2.u.c.337.2		18
7.2	even	3		686.2.g.i.165.2		36
7.3	odd	6		686.2.g.j.569.2		36
7.4	even	3		686.2.g.i.569.2		36
7.5	odd	6		686.2.g.j.165.2		36
7.6	odd	2		686.2.e.a.295.2		18
49.3	odd	42		686.2.g.j.79.2		36
49.5	odd	42		686.2.g.j.557.2		36
49.8	even	7	inner	98.2.e.a.57.2	yes	18
49.20	odd	14		4802.2.a.e.1.5		9
49.29	even	7		4802.2.a.h.1.5		9
49.41	odd	14		686.2.e.a.393.2		18
49.44	even	21		686.2.g.i.557.2		36
49.46	even	21		686.2.g.i.79.2		36
147.8	odd	14		882.2.u.j.253.1		18
196.155	odd	14		784.2.u.c.449.2		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.a.43.2	✓	18	1.1	even	1	trivial
98.2.e.a.57.2	yes	18	49.8	even	7	inner
686.2.e.a.295.2		18	7.6	odd	2
686.2.e.a.393.2		18	49.41	odd	14
686.2.g.i.79.2		36	49.46	even	21
686.2.g.i.165.2		36	7.2	even	3
686.2.g.i.557.2		36	49.44	even	21
686.2.g.i.569.2		36	7.4	even	3
686.2.g.j.79.2		36	49.3	odd	42
686.2.g.j.165.2		36	7.5	odd	6
686.2.g.j.557.2		36	49.5	odd	42
686.2.g.j.569.2		36	7.3	odd	6
784.2.u.c.337.2		18	4.3	odd	2
784.2.u.c.449.2		18	196.155	odd	14
882.2.u.j.253.1		18	147.8	odd	14
882.2.u.j.631.1		18	3.2	odd	2
4802.2.a.e.1.5		9	49.20	odd	14
4802.2.a.h.1.5		9	49.29	even	7

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.623490 - 0.781831i) q^{2} +(0.0363696 + 0.0175147i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.426714 + 0.205495i) q^{5} +(0.0363696 - 0.0175147i) q^{6} +(2.62504 - 0.330433i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(-1.86945 - 2.34422i) q^{9} +O(q^{10})\)	\(q+(0.623490 - 0.781831i) q^{2} +(0.0363696 + 0.0175147i) q^{3} +(-0.222521 - 0.974928i) q^{4} +(0.426714 + 0.205495i) q^{5} +(0.0363696 - 0.0175147i) q^{6} +(2.62504 - 0.330433i) q^{7} +(-0.900969 - 0.433884i) q^{8} +(-1.86945 - 2.34422i) q^{9} +(0.426714 - 0.205495i) q^{10} +(-1.59261 + 1.99707i) q^{11} +(0.00898255 - 0.0393551i) q^{12} +(-3.12798 + 3.92236i) q^{13} +(1.37834 - 2.25836i) q^{14} +(0.0119203 + 0.0149475i) q^{15} +(-0.900969 + 0.433884i) q^{16} +(-1.14851 + 5.03195i) q^{17} -2.99837 q^{18} +4.13263 q^{19} +(0.105390 - 0.461742i) q^{20} +(0.101259 + 0.0339589i) q^{21} +(0.568397 + 2.49031i) q^{22} +(-0.888411 - 3.89238i) q^{23} +(-0.0251685 - 0.0315604i) q^{24} +(-2.97759 - 3.73378i) q^{25} +(1.11636 + 4.89111i) q^{26} +(-0.0538807 - 0.236067i) q^{27} +(-0.906274 - 2.48569i) q^{28} +(-1.15082 + 5.04206i) q^{29} +0.0191186 q^{30} +2.49384 q^{31} +(-0.222521 + 0.974928i) q^{32} +(-0.0929008 + 0.0447386i) q^{33} +(3.21805 + 4.03531i) q^{34} +(1.18804 + 0.398431i) q^{35} +(-1.86945 + 2.34422i) q^{36} +(1.21027 - 5.30252i) q^{37} +(2.57665 - 3.23102i) q^{38} +(-0.182462 + 0.0878692i) q^{39} +(-0.295295 - 0.370289i) q^{40} +(-7.96453 - 3.83552i) q^{41} +(0.0896841 - 0.0579944i) q^{42} +(3.66460 - 1.76478i) q^{43} +(2.30139 + 1.10829i) q^{44} +(-0.315997 - 1.38447i) q^{45} +(-3.59710 - 1.73227i) q^{46} +(3.64462 - 4.57021i) q^{47} -0.0403672 q^{48} +(6.78163 - 1.73480i) q^{49} -4.77569 q^{50} +(-0.129904 + 0.162894i) q^{51} +(4.52006 + 2.17675i) q^{52} +(-0.588373 - 2.57783i) q^{53} +(-0.218158 - 0.105060i) q^{54} +(-1.08998 + 0.524906i) q^{55} +(-2.50845 - 0.841251i) q^{56} +(0.150302 + 0.0723816i) q^{57} +(3.22452 + 4.04342i) q^{58} +(-4.14784 + 1.99750i) q^{59} +(0.0119203 - 0.0149475i) q^{60} +(1.23489 - 5.41042i) q^{61} +(1.55489 - 1.94976i) q^{62} +(-5.68199 - 5.53593i) q^{63} +(0.623490 + 0.781831i) q^{64} +(-2.14078 + 1.03094i) q^{65} +(-0.0229446 + 0.100527i) q^{66} +15.0892 q^{67} +5.16136 q^{68} +(0.0358627 - 0.157125i) q^{69} +(1.05224 - 0.680431i) q^{70} +(-0.0799437 - 0.350256i) q^{71} +(0.667200 + 2.92320i) q^{72} +(9.16253 + 11.4895i) q^{73} +(-3.39109 - 4.25229i) q^{74} +(-0.0428979 - 0.187948i) q^{75} +(-0.919596 - 4.02901i) q^{76} +(-3.52077 + 5.76864i) q^{77} +(-0.0450645 + 0.197440i) q^{78} -8.73627 q^{79} -0.473617 q^{80} +(-1.99943 + 8.76006i) q^{81} +(-7.96453 + 3.83552i) q^{82} +(1.09589 + 1.37420i) q^{83} +(0.0105753 - 0.106277i) q^{84} +(-1.52412 + 1.91119i) q^{85} +(0.905081 - 3.96542i) q^{86} +(-0.130165 + 0.163222i) q^{87} +(2.30139 - 1.10829i) q^{88} +(0.165279 + 0.207253i) q^{89} +(-1.27945 - 0.616149i) q^{90} +(-6.91498 + 11.3299i) q^{91} +(-3.59710 + 1.73227i) q^{92} +(0.0907001 + 0.0436789i) q^{93} +(-1.30075 - 5.69895i) q^{94} +(1.76345 + 0.849233i) q^{95} +(-0.0251685 + 0.0315604i) q^{96} -4.38440 q^{97} +(2.87196 - 6.38372i) q^{98} +7.65889 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9	\( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 + 3 * q^3 - 3 * q^4 - 6 * q^5 + 3 * q^6 - 7 * q^7 - 3 * q^8 + 10 * q^9 - 6 * q^10 - q^11 - 4 * q^12 - 7 * q^14 - 9 * q^15 - 3 * q^16 - 11 * q^17 + 24 * q^18 + 36 * q^19 + q^20 - 21 * q^21 - q^22 + 5 * q^23 - 4 * q^24 - 23 * q^25 - 7 * q^26 - 12 * q^27 - 13 * q^29 - 16 * q^30 - 4 * q^31 - 3 * q^32 - 34 * q^33 - 11 * q^34 - 7 * q^35 + 10 * q^36 + 33 * q^37 + 15 * q^38 + 21 * q^39 + q^40 - 28 * q^41 + 35 * q^42 - 20 * q^43 + 6 * q^44 + 20 * q^45 + 5 * q^46 + 36 * q^47 + 10 * q^48 + 49 * q^49 + 26 * q^50 - 20 * q^51 + 48 * q^53 + 2 * q^54 + 47 * q^55 + 7 * q^56 - 37 * q^57 + 36 * q^58 - 25 * q^59 - 9 * q^60 + q^61 - 11 * q^62 - 35 * q^63 - 3 * q^64 - 56 * q^65 - 27 * q^66 + 34 * q^67 + 38 * q^68 + 23 * q^69 - 14 * q^70 - 6 * q^71 - 11 * q^72 - 39 * q^73 - 23 * q^74 - 47 * q^75 - 20 * q^76 - 28 * q^77 - 14 * q^78 - 2 * q^79 + 8 * q^80 - 34 * q^81 - 28 * q^82 + 35 * q^83 - 7 * q^84 + 33 * q^85 + 36 * q^86 + 48 * q^87 + 6 * q^88 - 6 * q^89 - 57 * q^90 - 35 * q^91 + 5 * q^92 + 36 * q^93 - 13 * q^94 - 17 * q^95 - 4 * q^96 + 56 * q^97 + 28 * q^98 + 106 * q^99

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