LMFDB - Embedded newform 354.2.g.a.23.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(11,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(354, base_ring=CyclotomicField(58))

chi = DirichletCharacter(H, H._module([29, 25]))

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

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

chi := DirichletCharacter("354.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.g (of order $58$, degree $28$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$280$
Relative dimension:	$10$ over $\Q(\zeta_{58})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label			23.3
Character	$\chi$	$=$	354.23
Dual form			354.2.g.a.77.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.725995 + 0.687699i) q^{2} +(-0.941981 - 1.45350i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(3.62342 + 0.594030i) q^{5} +(1.68345 + 0.407438i) q^{6} +(-0.837325 + 1.57936i) q^{7} +(0.647386 + 0.762162i) q^{8} +(-1.22535 + 2.73834i) q^{9} +O(q^{10})$	\(q+(-0.725995 + 0.687699i) q^{2} +(-0.941981 - 1.45350i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(3.62342 + 0.594030i) q^{5} +(1.68345 + 0.407438i) q^{6} +(-0.837325 + 1.57936i) q^{7} +(0.647386 + 0.762162i) q^{8} +(-1.22535 + 2.73834i) q^{9} +(-3.03910 + 2.06056i) q^{10} +(1.65472 - 0.179961i) q^{11} +(-1.50237 + 0.861908i) q^{12} +(-0.704777 + 1.52335i) q^{13} +(-0.478233 - 1.72244i) q^{14} +(-2.54977 - 5.82622i) q^{15} +(-0.994138 - 0.108119i) q^{16} +(5.17926 - 2.74587i) q^{17} +(-0.993563 - 2.83069i) q^{18} +(0.975926 - 0.587195i) q^{19} +(0.789326 - 3.58595i) q^{20} +(3.08435 - 0.270674i) q^{21} +(-1.07756 + 1.26860i) q^{22} +(0.379861 + 0.953379i) q^{23} +(0.497980 - 1.65892i) q^{24} +(8.03804 + 2.70833i) q^{25} +(-0.535942 - 1.59062i) q^{26} +(5.13444 - 0.798423i) q^{27} +(1.53172 + 0.921602i) q^{28} +(-0.356250 + 0.376088i) q^{29} +(5.85781 + 2.47633i) q^{30} +(-1.38163 + 2.29629i) q^{31} +(0.796093 - 0.605174i) q^{32} +(-1.82028 - 2.23562i) q^{33} +(-1.87179 + 5.55527i) q^{34} +(-3.97217 + 5.22530i) q^{35} +(2.66799 + 1.37180i) q^{36} +(2.81949 + 2.39489i) q^{37} +(-0.304704 + 1.09744i) q^{38} +(2.87808 - 0.410570i) q^{39} +(1.89301 + 3.14620i) q^{40} +(8.68353 + 3.45983i) q^{41} +(-2.05309 + 2.31762i) q^{42} +(1.15753 - 10.6433i) q^{43} +(-0.0901128 - 1.66203i) q^{44} +(-6.06660 + 9.19428i) q^{45} +(-0.931416 - 0.430919i) q^{46} +(-1.71010 - 10.4312i) q^{47} +(0.779307 + 1.54683i) q^{48} +(2.13503 + 3.14894i) q^{49} +(-7.69809 + 3.56152i) q^{50} +(-8.86990 - 4.94152i) q^{51} +(1.48296 + 0.786216i) q^{52} +(-10.1785 - 6.90119i) q^{53} +(-3.17851 + 4.11061i) q^{54} +(6.10263 + 0.330875i) q^{55} +(-1.74580 + 0.384280i) q^{56} +(-1.77279 - 0.865385i) q^{57} -0.518031i q^{58} +(-5.46284 + 5.39975i) q^{59} +(-5.95572 + 2.23060i) q^{60} +(1.10830 + 1.17002i) q^{61} +(-0.576099 - 2.61724i) q^{62} +(-3.29883 - 4.22815i) q^{63} +(-0.161782 + 0.986827i) q^{64} +(-3.45862 + 5.10108i) q^{65} +(2.85895 + 0.371238i) q^{66} +(-8.51982 + 7.23680i) q^{67} +(-2.46145 - 5.32033i) q^{68} +(1.02792 - 1.45019i) q^{69} +(-0.709659 - 6.52520i) q^{70} +(8.12942 - 1.33275i) q^{71} +(-2.88033 + 0.838855i) q^{72} +(-9.65675 + 2.68118i) q^{73} +(-3.69390 + 0.200277i) q^{74} +(-3.63511 - 14.2345i) q^{75} +(-0.533498 - 1.00628i) q^{76} +(-1.10131 + 2.76408i) q^{77} +(-1.80712 + 2.27733i) q^{78} +(-3.75373 - 0.826259i) q^{79} +(-3.53795 - 0.982308i) q^{80} +(-5.99706 - 6.71083i) q^{81} +(-8.68353 + 3.45983i) q^{82} +(-7.45793 - 5.66937i) q^{83} +(-0.103293 - 3.09449i) q^{84} +(20.3978 - 6.87281i) q^{85} +(6.47903 + 8.52301i) q^{86} +(0.882226 + 0.163542i) q^{87} +(1.20840 + 1.14466i) q^{88} +(8.28267 + 7.84576i) q^{89} +(-1.91858 - 10.8470i) q^{90} +(-1.81580 - 2.38864i) q^{91} +(0.972546 - 0.327689i) q^{92} +(4.63913 - 0.154854i) q^{93} +(8.41503 + 6.39694i) q^{94} +(3.88500 - 1.54793i) q^{95} +(-1.62953 - 0.587062i) q^{96} +(0.145161 + 0.0403037i) q^{97} +(-3.71555 - 0.817855i) q^{98} +(-1.53480 + 4.75170i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q - 10 q^{2} + q^{3} - 10 q^{4} + q^{6} + 2 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) $ 280 * q - 10 * q^2 + q^3 - 10 * q^4 + q^6 + 2 * q^7 - 10 * q^8 - 3 * q^9	$ 280 q - 10 q^{2} + q^{3} - 10 q^{4} + q^{6} + 2 q^{7} - 10 q^{8} - 3 q^{9} + 4 q^{11} + q^{12} - 27 q^{14} + 7 q^{15} - 10 q^{16} - 3 q^{18} + 6 q^{19} + 3 q^{21} + 4 q^{22} - 8 q^{23} + q^{24} - 4 q^{25} - 77 q^{27} + 2 q^{28} + 7 q^{30} - 10 q^{32} - 3 q^{36} + 6 q^{38} - 4 q^{39} + 3 q^{42} + 4 q^{44} - 18 q^{45} - 8 q^{46} + 232 q^{47} + q^{48} - 8 q^{49} - 4 q^{50} - 118 q^{51} - 58 q^{53} - 77 q^{54} + 2 q^{56} - 316 q^{57} + 20 q^{59} - 80 q^{60} + 77 q^{63} - 10 q^{64} + 16 q^{65} - 116 q^{66} - 102 q^{69} - 3 q^{72} - 25 q^{75} + 6 q^{76} + 106 q^{77} - 4 q^{78} - 6 q^{79} - 7 q^{81} - 104 q^{83} + 3 q^{84} + 4 q^{85} + 15 q^{87} + 4 q^{88} - 16 q^{89} + 11 q^{90} - 8 q^{92} + 122 q^{93} + q^{96} - 8 q^{98} + 2 q^{99}+O(q^{100}) $ 280 * q - 10 * q^2 + q^3 - 10 * q^4 + q^6 + 2 * q^7 - 10 * q^8 - 3 * q^9 + 4 * q^11 + q^12 - 27 * q^14 + 7 * q^15 - 10 * q^16 - 3 * q^18 + 6 * q^19 + 3 * q^21 + 4 * q^22 - 8 * q^23 + q^24 - 4 * q^25 - 77 * q^27 + 2 * q^28 + 7 * q^30 - 10 * q^32 - 3 * q^36 + 6 * q^38 - 4 * q^39 + 3 * q^42 + 4 * q^44 - 18 * q^45 - 8 * q^46 + 232 * q^47 + q^48 - 8 * q^49 - 4 * q^50 - 118 * q^51 - 58 * q^53 - 77 * q^54 + 2 * q^56 - 316 * q^57 + 20 * q^59 - 80 * q^60 + 77 * q^63 - 10 * q^64 + 16 * q^65 - 116 * q^66 - 102 * q^69 - 3 * q^72 - 25 * q^75 + 6 * q^76 + 106 * q^77 - 4 * q^78 - 6 * q^79 - 7 * q^81 - 104 * q^83 + 3 * q^84 + 4 * q^85 + 15 * q^87 + 4 * q^88 - 16 * q^89 + 11 * q^90 - 8 * q^92 + 122 * q^93 + q^96 - 8 * q^98 + 2 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/354\mathbb{Z}\right)^\times$.

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{15}{58}\right)$	$-1$

Coefficient data

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

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

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

$2$	−0.725995	+	0.687699i	−0.513356	+	0.486277i
$2$	−0.725995	+	0.687699i	−0.513356	+	0.486277i
$3$	−0.941981	−	1.45350i	−0.543853	−	0.839181i
$3$	−0.941981	−	1.45350i	−0.543853	−	0.839181i
$4$	0.0541389	−	0.998533i	0.0270695	−	0.499267i
$5$	3.62342	+	0.594030i	1.62044	+	0.265658i	0.902579	−	0.430525i	$-0.141672\pi$
$5$	3.62342	+	0.594030i	1.62044	+	0.265658i	0.717864	+	0.696183i	$0.245120\pi$
$6$	1.68345	+	0.407438i	0.687264	+	0.166336i
$7$	−0.837325	+	1.57936i	−0.316479	+	0.596943i	−0.989809	−	0.142399i	$-0.954518\pi$
$7$	−0.837325	+	1.57936i	−0.316479	+	0.596943i	0.673330	+	0.739342i	$0.264863\pi$
$8$	0.647386	+	0.762162i	0.228886	+	0.269465i
$9$	−1.22535	+	2.73834i	−0.408448	+	0.912781i
$10$	−3.03910	+	2.06056i	−0.961048	+	0.651607i
$11$	1.65472	−	0.179961i	0.498916	−	0.0542604i	0.144798	−	0.989461i	$-0.453747\pi$
$11$	1.65472	−	0.179961i	0.498916	−	0.0542604i	0.354118	+	0.935201i	$0.384781\pi$
$12$	−1.50237	+	0.861908i	−0.433697	+	0.248811i
$13$	−0.704777	+	1.52335i	−0.195470	+	0.422501i	−0.980382	−	0.197105i	$-0.936846\pi$
$13$	−0.704777	+	1.52335i	−0.195470	+	0.422501i	0.784912	+	0.619607i	$0.212708\pi$
$14$	−0.478233	−	1.72244i	−0.127813	−	0.460341i
$15$	−2.54977	−	5.82622i	−0.658347	−	1.50432i
$16$	−0.994138	−	0.108119i	−0.248534	−	0.0270298i
$17$	5.17926	−	2.74587i	1.25616	−	0.665972i	0.298644	−	0.954365i	$-0.403466\pi$
$17$	5.17926	−	2.74587i	1.25616	−	0.665972i	0.957512	+	0.288393i	$0.0931209\pi$
$18$	−0.993563	−	2.83069i	−0.234185	−	0.667201i
$19$	0.975926	−	0.587195i	0.223893	−	0.134712i	−0.399189	−	0.916869i	$-0.630708\pi$
$19$	0.975926	−	0.587195i	0.223893	−	0.134712i	0.623081	+	0.782157i	$0.285881\pi$
$20$	0.789326	−	3.58595i	0.176499	−	0.801842i
$21$	3.08435	−	0.270674i	0.673061	−	0.0590659i
$22$	−1.07756	+	1.26860i	−0.229736	+	0.270466i
$23$	0.379861	+	0.953379i	0.0792065	+	0.198793i	0.963247	−	0.268617i	$-0.0865665\pi$
$23$	0.379861	+	0.953379i	0.0792065	+	0.198793i	−0.884041	+	0.467410i	$0.845187\pi$
$24$	0.497980	−	1.65892i	0.101650	−	0.338626i
$25$	8.03804	+	2.70833i	1.60761	+	0.541666i
$26$	−0.535942	−	1.59062i	−0.105107	−	0.311946i
$27$	5.13444	−	0.798423i	0.988124	−	0.153657i
$28$	1.53172	+	0.921602i	0.289467	+	0.174166i
$29$	−0.356250	+	0.376088i	−0.0661539	+	0.0698378i	−0.758232	−	0.651985i	$-0.773937\pi$
$29$	−0.356250	+	0.376088i	−0.0661539	+	0.0698378i	0.692078	+	0.721822i	$0.256695\pi$
$30$	5.85781	+	2.47633i	1.06948	+	0.452115i
$31$	−1.38163	+	2.29629i	−0.248148	+	0.412426i	−0.955747	−	0.294188i	$-0.904951\pi$
$31$	−1.38163	+	2.29629i	−0.248148	+	0.412426i	0.707599	+	0.706614i	$0.249778\pi$
$32$	0.796093	−	0.605174i	0.140731	−	0.106981i
$33$	−1.82028	−	2.23562i	−0.316871	−	0.389171i
$34$	−1.87179	+	5.55527i	−0.321009	+	0.952721i
$35$	−3.97217	+	5.22530i	−0.671419	+	0.883237i
$36$	2.66799	+	1.37180i	0.444665	+	0.228633i
$37$	2.81949	+	2.39489i	0.463521	+	0.393718i	0.848490	−	0.529211i	$-0.177512\pi$
$37$	2.81949	+	2.39489i	0.463521	+	0.393718i	−0.384969	+	0.922929i	$0.625788\pi$
$38$	−0.304704	+	1.09744i	−0.0494295	+	0.178029i
$39$	2.87808	−	0.410570i	0.460862	−	0.0657439i
$40$	1.89301	+	3.14620i	0.299310	+	0.497458i
$41$	8.68353	+	3.45983i	1.35614	+	0.540335i	0.931075	−	0.364828i	$-0.118872\pi$
$41$	8.68353	+	3.45983i	1.35614	+	0.540335i	0.425064	+	0.905163i	$0.360252\pi$
$42$	−2.05309	+	2.31762i	−0.316798	+	0.357616i
$43$	1.15753	−	10.6433i	0.176521	−	1.62309i	−0.485941	−	0.873992i	$-0.661523\pi$
$43$	1.15753	−	10.6433i	0.176521	−	1.62309i	0.662462	−	0.749095i	$-0.269512\pi$
$44$	−0.0901128	−	1.66203i	−0.0135850	−	0.250561i
$45$	−6.06660	+	9.19428i	−0.904355	+	1.37060i
$46$	−0.931416	−	0.430919i	−0.137330	−	0.0635355i
$47$	−1.71010	−	10.4312i	−0.249444	−	1.52154i	−0.753256	−	0.657728i	$-0.771518\pi$
$47$	−1.71010	−	10.4312i	−0.249444	−	1.52154i	0.503812	−	0.863813i	$-0.331931\pi$
$48$	0.779307	+	1.54683i	0.112483	+	0.223266i
$49$	2.13503	+	3.14894i	0.305005	+	0.449849i
$50$	−7.69809	+	3.56152i	−1.08868	+	0.503675i
$51$	−8.86990	−	4.94152i	−1.24203	−	0.691951i
$52$	1.48296	+	0.786216i	0.205650	+	0.109029i
$53$	−10.1785	−	6.90119i	−1.39812	−	0.947951i	−0.999525	−	0.0308254i	$-0.990186\pi$
$53$	−10.1785	−	6.90119i	−1.39812	−	0.947951i	−0.398598	−	0.917126i	$-0.630503\pi$
$54$	−3.17851	+	4.11061i	−0.432540	+	0.559383i
$55$	6.10263	+	0.330875i	0.822879	+	0.0446152i
$56$	−1.74580	+	0.384280i	−0.233293	+	0.0513516i
$57$	−1.77279	−	0.865385i	−0.234812	−	0.114623i
$58$		−	0.518031i		−	0.0680208i
$59$	−5.46284	+	5.39975i	−0.711202	+	0.702988i
$59$	−5.46284	+	5.39975i	−0.711202	+	0.702988i
$60$	−5.95572	+	2.23060i	−0.768880	+	0.287970i
$61$	1.10830	+	1.17002i	0.141903	+	0.149805i	0.793073	−	0.609127i	$-0.208480\pi$
$61$	1.10830	+	1.17002i	0.141903	+	0.149805i	−0.651170	+	0.758932i	$0.725721\pi$
$62$	−0.576099	−	2.61724i	−0.0731646	−	0.332390i
$63$	−3.29883	−	4.22815i	−0.415613	−	0.532697i
$64$	−0.161782	+	0.986827i	−0.0202227	+	0.123353i
$65$	−3.45862	+	5.10108i	−0.428989	+	0.632711i
$66$	2.85895	+	0.371238i	0.351912	+	0.0456963i
$67$	−8.51982	+	7.23680i	−1.04086	+	0.884116i	−0.993394	−	0.114757i	$-0.963391\pi$
$67$	−8.51982	+	7.23680i	−1.04086	+	0.884116i	−0.0474681	+	0.998873i	$0.515115\pi$
$68$	−2.46145	−	5.32033i	−0.298494	−	0.645184i
$69$	1.02792	−	1.45019i	0.123747	−	0.174583i
$70$	−0.709659	−	6.52520i	−0.0848204	−	0.779911i
$71$	8.12942	−	1.33275i	0.964785	−	0.158168i	0.341257	−	0.939970i	$-0.389147\pi$
$71$	8.12942	−	1.33275i	0.964785	−	0.158168i	0.623527	+	0.781801i	$0.285699\pi$
$72$	−2.88033	+	0.838855i	−0.339451	+	0.0988600i
$73$	−9.65675	+	2.68118i	−1.13024	+	0.313809i	−0.781804	−	0.623525i	$-0.785700\pi$
$73$	−9.65675	+	2.68118i	−1.13024	+	0.313809i	−0.348434	+	0.937333i	$0.613286\pi$
$74$	−3.69390	+	0.200277i	−0.429407	+	0.0232818i
$75$	−3.63511	−	14.2345i	−0.419746	−	1.64366i
$76$	−0.533498	−	1.00628i	−0.0611965	−	0.115429i
$77$	−1.10131	+	2.76408i	−0.125506	+	0.314997i
$78$	−1.80712	+	2.27733i	−0.204617	+	0.257857i
$79$	−3.75373	−	0.826259i	−0.422328	−	0.0929613i	−0.00127853	−	0.999999i	$-0.500407\pi$
$79$	−3.75373	−	0.826259i	−0.422328	−	0.0929613i	−0.421049	+	0.907038i	$0.638338\pi$
$80$	−3.53795	−	0.982308i	−0.395555	−	0.109825i
$81$	−5.99706	−	6.71083i	−0.666340	−	0.745648i
$82$	−8.68353	+	3.45983i	−0.958935	+	0.382075i
$83$	−7.45793	−	5.66937i	−0.818615	−	0.622295i	0.109753	−	0.993959i	$-0.464994\pi$
$83$	−7.45793	−	5.66937i	−0.818615	−	0.622295i	−0.928367	+	0.371664i	$0.878787\pi$
$84$	−0.103293	−	3.09449i	−0.0112702	−	0.337636i
$85$	20.3978	−	6.87281i	2.21245	−	0.745461i
$86$	6.47903	+	8.52301i	0.698652	+	0.919060i
$87$	0.882226	+	0.163542i	0.0945845	+	0.0175336i
$88$	1.20840	+	1.14466i	0.128816	+	0.122021i
$89$	8.28267	+	7.84576i	0.877962	+	0.831649i	0.986722	−	0.162419i	$-0.0519295\pi$
$89$	8.28267	+	7.84576i	0.877962	+	0.831649i	−0.108760	+	0.994068i	$0.534688\pi$
$90$	−1.91858	−	10.8470i	−0.202236	−	1.14337i
$91$	−1.81580	−	2.38864i	−0.190347	−	0.250397i
$92$	0.972546	−	0.327689i	0.101395	−	0.0341639i
$93$	4.63913	−	0.154854i	0.481056	−	0.0160576i
$94$	8.41503	+	6.39694i	0.867944	+	0.659794i
$95$	3.88500	−	1.54793i	0.398593	−	0.158814i
$96$	−1.62953	−	0.587062i	−0.166313	−	0.0599167i
$97$	0.145161	+	0.0403037i	0.0147388	+	0.00409222i	0.274890	−	0.961476i	$-0.411359\pi$
$97$	0.145161	+	0.0403037i	0.0147388	+	0.00409222i	−0.260151	+	0.965568i	$0.583772\pi$
$98$	−3.71555	−	0.817855i	−0.375327	−	0.0826158i
$99$	−1.53480	+	4.75170i	−0.154254	+	0.477564i
$100$	3.13953	−	7.87962i	0.313953	−	0.787962i
$101$	−5.66281	−	10.6812i	−0.563471	−	1.06282i	−0.987567	−	0.157201i	$-0.949753\pi$
$101$	−5.66281	−	10.6812i	−0.563471	−	1.06282i	0.424096	−	0.905617i	$-0.360592\pi$
$102$	9.83779	−	2.51230i	0.974086	−	0.248755i
$103$	−13.3798	+	0.725431i	−1.31835	+	0.0714788i	−0.699841	−	0.714299i	$-0.746746\pi$
$103$	−13.3798	+	0.725431i	−1.31835	+	0.0714788i	−0.618509	+	0.785778i	$0.712263\pi$
$104$	−1.61730	+	0.449042i	−0.158590	+	0.0440322i
$105$	11.3367	+	0.851432i	1.10635	+	0.0830913i
$106$	12.1355	−	1.98951i	1.17870	−	0.193238i
$107$	1.73291	+	15.9339i	0.167527	+	1.54039i	0.712343	+	0.701831i	$0.247634\pi$
$107$	1.73291	+	15.9339i	0.167527	+	1.54039i	−0.544816	+	0.838556i	$0.683400\pi$
$108$	−0.519279	−	5.17014i	−0.0499676	−	0.497497i
$109$	−6.00620	−	12.9822i	−0.575290	−	1.24347i	−0.948810	−	0.315847i	$-0.897712\pi$
$109$	−6.00620	−	12.9822i	−0.575290	−	1.24347i	0.373521	−	0.927622i	$-0.378151\pi$
$110$	−4.65803	+	3.95656i	−0.444126	+	0.377244i
$111$	0.825085	−	6.35408i	0.0783136	−	0.603102i
$112$	1.00318	−	1.47957i	0.0947912	−	0.139807i
$113$	−2.18832	+	13.3481i	−0.205859	+	1.25569i	0.658411	+	0.752659i	$0.271229\pi$
$113$	−2.18832	+	13.3481i	−0.205859	+	1.25569i	−0.864270	+	0.503028i	$0.832219\pi$
$114$	1.88217	−	0.590883i	0.176281	−	0.0553413i
$115$	0.810060	+	3.68014i	0.0755385	+	0.343175i
$116$	0.356250	+	0.376088i	0.0330769	+	0.0349189i
$117$	−3.30786	−	3.79655i	−0.305812	−	0.350991i
$118$	0.252594	−	7.67699i	0.0232531	−	0.706724i
$119$			10.4791i			0.960620i
$120$	2.78984	−	5.71515i	0.254676	−	0.521719i
$121$	−8.03713	+	1.76911i	−0.730648	+	0.160828i
$122$	−1.60924	−	0.0872504i	−0.145694	−	0.00789928i
$123$	−3.15083	−	15.8806i	−0.284101	−	1.43191i
$124$	2.21812	+	1.50392i	0.199193	+	0.135056i
$125$	11.2960	+	5.98876i	1.01034	+	0.535651i
$126$	5.30263	+	0.801017i	0.472396	+	0.0713602i
$127$	−7.32789	+	3.39024i	−0.650245	+	0.300835i	−0.717145	−	0.696924i	$-0.754551\pi$
$127$	−7.32789	+	3.39024i	−0.650245	+	0.300835i	0.0668997	+	0.997760i	$0.478689\pi$
$128$	−0.561187	−	0.827689i	−0.0496024	−	0.0731581i
$129$	−16.5604	+	8.34330i	−1.45807	+	0.734587i
$130$	−0.997069	−	6.08185i	−0.0874487	−	0.533414i
$131$	18.4051	+	8.51511i	1.60806	+	0.743968i	0.998799	−	0.0489999i	$-0.0156034\pi$
$131$	18.4051	+	8.51511i	1.60806	+	0.743968i	0.609263	+	0.792968i	$0.291465\pi$
$132$	−2.33089	+	1.69658i	−0.202878	+	0.147668i
$133$	0.110227	+	2.03302i	0.00955788	+	0.176285i
$134$	1.20861	−	11.1130i	0.104408	−	0.960014i
$135$	19.0785	+	0.156991i	1.64202	+	0.0135116i
$136$	5.44578	+	2.16980i	0.466972	+	0.186059i
$137$	−10.3563	−	17.2123i	−0.884798	−	1.47055i	−0.882374	−	0.470548i	$-0.844056\pi$
$137$	−10.3563	−	17.2123i	−0.884798	−	1.47055i	−0.00242343	−	0.999997i	$-0.500771\pi$
$138$	0.251033	+	1.75973i	0.0213694	+	0.149798i
$139$	−4.24690	+	15.2959i	−0.360217	+	1.29738i	0.532371	+	0.846511i	$0.321301\pi$
$139$	−4.24690	+	15.2959i	−0.360217	+	1.29738i	−0.892588	+	0.450873i	$0.851113\pi$
$140$	5.00259	+	4.24924i	0.422796	+	0.359126i
$141$	−13.5508	+	12.3116i	−1.14119	+	1.03682i
$142$	−4.98539	+	6.55817i	−0.418365	+	0.550349i
$143$	−0.892062	+	2.64754i	−0.0745979	+	0.221399i
$144$	1.51423	−	2.58981i	0.126186	−	0.215817i
$145$	−1.51425	+	1.15110i	−0.125752	+	0.0955939i
$146$	5.16691	−	8.58747i	0.427617	−	0.710704i
$147$	2.56584	−	6.06952i	0.211627	−	0.500606i
$148$	2.54402	−	2.68569i	0.209118	−	0.220763i
$149$	−4.43938	−	2.67109i	−0.363688	−	0.218824i	0.321966	−	0.946751i	$-0.395656\pi$
$149$	−4.43938	−	2.67109i	−0.363688	−	0.218824i	−0.685654	+	0.727927i	$0.740484\pi$
$150$	12.4281	+	7.83433i	1.01475	+	0.639670i
$151$	−2.27206	−	6.74322i	−0.184897	−	0.548756i	0.814614	−	0.580003i	$-0.196949\pi$
$151$	−2.27206	−	6.74322i	−0.184897	−	0.548756i	−0.999512	+	0.0312474i	$0.990052\pi$
$152$	1.07934	+	0.363672i	0.0875459	+	0.0294977i
$153$	1.17276	+	17.5472i	0.0948116	+	1.41861i
$154$	−1.10131	−	2.76408i	−0.0887462	−	0.222736i
$155$	−6.37029	+	7.49969i	−0.511674	+	0.602390i
$156$	−0.254152	−	2.89609i	−0.0203485	−	0.231873i
$157$	−0.935694	+	4.25090i	−0.0746765	+	0.339259i	−0.999115	−	0.0420737i	$-0.986604\pi$
$157$	−0.935694	+	4.25090i	−0.0746765	+	0.339259i	0.924438	+	0.381332i	$0.124535\pi$
$158$	3.29341	−	1.98158i	0.262010	−	0.157646i
$159$	−0.442962	+	21.2953i	−0.0351291	+	1.68882i
$160$	3.24407	−	1.71990i	0.256466	−	0.135970i
$161$	−1.82380	−	0.198350i	−0.143736	−	0.0156322i
$162$	8.96887	+	0.747863i	0.704661	+	0.0587577i
$163$	−1.01073	−	3.64034i	−0.0791668	−	0.285133i	0.913361	−	0.407150i	$-0.133477\pi$
$163$	−1.01073	−	3.64034i	−0.0791668	−	0.285133i	−0.992528	+	0.122017i	$0.961064\pi$
$164$	3.92488	−	8.48348i	0.306481	−	0.662448i
$165$	−5.26763	−	9.18188i	−0.410085	−	0.714808i
$166$	9.31325	−	1.01288i	0.722849	−	0.0786145i
$167$	0.476235	−	0.322896i	0.0368522	−	0.0249864i	−0.542622	−	0.839977i	$-0.682568\pi$
$167$	0.476235	−	0.322896i	0.0368522	−	0.0249864i	0.579474	+	0.814991i	$0.303258\pi$
$168$	2.20307	+	2.17555i	0.169970	+	0.167847i
$169$	6.59214	+	7.76086i	0.507087	+	0.596989i
$170$	−10.0823	+	19.0172i	−0.773274	+	1.45855i
$171$	0.412096	+	3.39194i	0.0315138	+	0.259388i
$172$	−10.5650	−	1.73205i	−0.805575	−	0.132067i
$173$	1.01913	−	18.7968i	0.0774833	−	1.42910i	−0.658747	−	0.752365i	$-0.728913\pi$
$173$	1.01913	−	18.7968i	0.0774833	−	1.42910i	0.736230	−	0.676731i	$-0.236604\pi$
$174$	−0.752960	+	0.487975i	−0.0570817	+	0.0369933i
$175$	−11.0079	+	10.4272i	−0.832118	+	0.788224i
$176$	−1.66447			−0.125464
$177$	12.9945	+	2.85380i	0.976723	+	0.214505i
$178$	−11.4087			−0.855119
$179$	5.90390	−	5.59247i	0.441278	−	0.418001i	−0.434532	−	0.900656i	$-0.643086\pi$
$179$	5.90390	−	5.59247i	0.441278	−	0.418001i	0.875810	+	0.482655i	$0.160328\pi$
$180$	8.85236	+	6.55547i	0.659816	+	0.488616i
$181$	−0.0720665	+	1.32919i	−0.00535666	+	0.0987978i	−0.999989	−	0.00467374i	$-0.998512\pi$
$181$	−0.0720665	+	1.32919i	−0.00535666	+	0.0987978i	0.994632	+	0.103471i	$0.0329951\pi$
$182$	2.96092	+	0.485419i	0.219478	+	0.0359817i
$183$	0.656628	−	2.71305i	0.0485393	−	0.200554i
$184$	−0.480713	+	0.906720i	−0.0354386	+	0.0668443i
$185$	8.79355	+	10.3526i	0.646514	+	0.761135i
$186$	−3.26150	+	3.30275i	−0.239145	+	0.242170i
$187$	8.07606	−	5.47571i	0.590580	−	0.400423i
$188$	−10.5084	+	1.14286i	−0.766407	+	0.0833518i
$189$	−3.03820	+	8.77769i	−0.220997	+	0.638483i
$190$	−1.75599	+	3.79550i	−0.127393	+	0.275355i
$191$	0.542258	+	1.95304i	0.0392364	+	0.141317i	0.980574	−	0.196150i	$-0.0628438\pi$
$191$	0.542258	+	1.95304i	0.0392364	+	0.141317i	−0.941338	+	0.337466i	$0.890430\pi$
$192$	1.58675	−	0.694421i	0.114514	−	0.0501155i
$193$	−5.91702	−	0.643514i	−0.425916	−	0.0463212i	−0.107349	−	0.994221i	$-0.534236\pi$
$193$	−5.91702	−	0.643514i	−0.425916	−	0.0463212i	−0.318567	+	0.947900i	$0.603202\pi$
$194$	−0.133103	+	0.0705667i	−0.00955623	+	0.00506639i
$195$	10.6724	+	0.221996i	0.764266	+	0.0158974i
$196$	3.25991	−	1.96142i	0.232851	−	0.140102i
$197$	4.90959	−	22.3045i	0.349794	−	1.58913i	−0.392954	−	0.919558i	$-0.628547\pi$
$197$	4.90959	−	22.3045i	0.349794	−	1.58913i	0.742748	−	0.669571i	$-0.233522\pi$
$198$	−2.15348	−	4.50519i	−0.153041	−	0.320170i
$199$	6.30493	−	7.42274i	0.446945	−	0.526184i	−0.491841	−	0.870685i	$-0.663676\pi$
$199$	6.30493	−	7.42274i	0.446945	−	0.526184i	0.938786	+	0.344501i	$0.111952\pi$
$200$	3.13953	+	7.87962i	0.221998	+	0.557173i
$201$	18.5442	+	5.56666i	1.30801	+	0.392642i
$202$	11.4566	+	3.86019i	0.806085	+	0.271602i
$203$	−0.295683	−	0.877556i	−0.0207529	−	0.0615923i
$204$	−5.41448	+	8.58936i	−0.379089	+	0.601376i
$205$	29.4088	+	17.6947i	2.05400	+	1.23585i
$206$	9.21478	−	9.72793i	0.642024	−	0.677777i
$207$	−3.07614	−	0.128029i	−0.213807	−	0.00889861i
$208$	0.865348	−	1.43822i	0.0600011	−	0.0997226i
$209$	1.50921	−	1.14727i	0.104394	−	0.0793583i
$210$	−8.81592	+	7.17811i	−0.608356	+	0.495336i
$211$	4.25779	−	12.6367i	0.293118	−	0.869943i	−0.695371	−	0.718651i	$-0.744760\pi$
$211$	4.25779	−	12.6367i	0.293118	−	0.869943i	0.988489	−	0.151292i	$-0.0483435\pi$
$212$	−7.44212	+	9.78994i	−0.511127	+	0.672376i
$213$	−9.59491	−	10.5607i	−0.657433	−	0.723608i
$214$	−12.2158	−	10.3762i	−0.835056	−	0.709303i
$215$	10.5166	−	37.8775i	0.717229	−	2.58323i
$216$	3.93250	+	3.39639i	0.267573	+	0.231095i
$217$	−2.46980	−	4.10484i	−0.167661	−	0.278655i
$218$	13.2883	+	5.29455i	0.899999	+	0.358592i
$219$	12.9936	+	11.5105i	0.878025	+	0.777808i
$220$	0.660780	−	6.07577i	0.0445498	−	0.409628i
$221$	0.532699	+	9.82506i	0.0358332	+	0.660905i
$222$	3.77069	+	5.18044i	0.253072	+	0.347688i
$223$	24.3857	+	11.2820i	1.63299	+	0.755500i	0.999828	−	0.0185216i	$-0.00589595\pi$
$223$	24.3857	+	11.2820i	1.63299	+	0.755500i	0.633159	+	0.774022i	$0.281758\pi$
$224$	0.289201	+	1.76405i	0.0193231	+	0.117865i
$225$	−17.2657	+	18.6923i	−1.15105	+	1.24615i
$226$	−7.59080	−	11.1956i	−0.504932	−	0.744720i
$227$	−11.4945	+	5.31794i	−0.762919	+	0.352964i	−0.762459	−	0.647036i	$-0.776008\pi$
$227$	−11.4945	+	5.31794i	−0.762919	+	0.352964i	−0.000459541		1.00000i	$0.500146\pi$
$228$	−0.960093	+	1.72334i	−0.0635837	+	0.114131i
$229$	−10.4255	−	5.52723i	−0.688934	−	0.365250i	0.0868735	−	0.996219i	$-0.472312\pi$
$229$	−10.4255	−	5.52723i	−0.688934	−	0.365250i	−0.775808	+	0.630970i	$0.782657\pi$
$230$	−3.11893	−	2.11469i	−0.205656	−	0.139438i
$231$	5.05502	−	1.00295i	0.332596	−	0.0659895i
$232$	−0.517271	−	0.0280456i	−0.0339605	−	0.00184129i
$233$	−0.321509	+	0.0707695i	−0.0210628	+	0.00463627i	−0.225489	−	0.974246i	$-0.572398\pi$
$233$	−0.321509	+	0.0707695i	−0.0210628	+	0.00463627i	0.204427	+	0.978882i	$0.434467\pi$
$234$	5.01238	+	0.481465i	0.327669	+	0.0314743i
$235$		−	38.8123i		−	2.53184i
$236$	5.09608	+	5.74717i	0.331727	+	0.374109i
$237$	2.33497	+	6.23438i	0.151673	+	0.404966i
$238$	−7.20649	−	7.60780i	−0.467127	−	0.493140i
$239$	−4.46689	−	20.2933i	−0.288939	−	1.31266i	−0.867669	−	0.497143i	$-0.834382\pi$
$239$	−4.46689	−	20.2933i	−0.288939	−	1.31266i	0.578730	−	0.815519i	$-0.303549\pi$
$240$	1.90490	+	6.06774i	0.122960	+	0.391671i
$241$	−2.00592	+	12.2356i	−0.129213	+	0.788164i	0.840118	+	0.542404i	$0.182486\pi$
$241$	−2.00592	+	12.2356i	−0.129213	+	0.788164i	−0.969331	+	0.245760i	$0.920963\pi$
$242$	4.61830	−	6.81149i	0.296876	−	0.437859i
$243$	−4.10511	+	15.0382i	−0.263343	+	0.964702i
$244$	1.22830	−	1.04333i	0.0786340	−	0.0667923i
$245$	5.86556	+	12.6782i	0.374737	+	0.809981i
$246$	13.2086	+	9.36244i	0.842149	+	0.596927i
$247$	0.206694	+	1.90052i	0.0131516	+	0.120927i
$248$	−2.64459	+	0.433559i	−0.167932	+	0.0275310i
$249$	−1.21523	+	16.1806i	−0.0770119	+	1.02540i
$250$	−12.3193	+	3.42044i	−0.779142	+	0.216328i
$251$	2.06479	−	0.111950i	0.130328	−	0.00706620i	0.0111407	−	0.999938i	$-0.496454\pi$
$251$	2.06479	−	0.111950i	0.130328	−	0.00706620i	0.119188	+	0.992872i	$0.461971\pi$
$252$	−4.40054	+	3.06508i	−0.277208	+	0.193082i
$253$	0.800133	+	1.50921i	0.0503040	+	0.0948833i
$254$	2.98855	−	7.50069i	0.187518	−	0.470635i
$255$	−29.2040	−	23.1742i	−1.82882	−	1.45122i
$256$	0.976621	+	0.214970i	0.0610388	+	0.0134357i
$257$	−3.24544	−	0.901091i	−0.202445	−	0.0562085i	0.164826	−	0.986323i	$-0.447294\pi$
$257$	−3.24544	−	0.901091i	−0.202445	−	0.0562085i	−0.367270	+	0.930114i	$0.619708\pi$
$258$	6.28512	−	17.4458i	0.391294	−	1.08613i
$259$	−6.14323	+	2.44769i	−0.381722	+	0.152092i
$260$	4.90635	+	3.72971i	0.304279	+	0.231307i
$261$	−0.593330	−	1.43637i	−0.0367262	−	0.0889092i
$262$	−19.2179	+	6.47525i	−1.18728	+	0.400042i
$263$	6.22601	+	8.19017i	0.383912	+	0.505028i	0.946940	−	0.321410i	$-0.104157\pi$
$263$	6.22601	+	8.19017i	0.383912	+	0.505028i	−0.563028	+	0.826438i	$0.690364\pi$
$264$	0.525474	−	2.83466i	0.0323407	−	0.174461i
$265$	−32.7814	−	31.0522i	−2.01375	−	1.90752i
$266$	−1.47813	−	1.40016i	−0.0906298	−	0.0858491i
$267$	3.60173	−	19.4295i	0.220422	−	1.18906i
$268$	6.76493	+	8.89912i	0.413234	+	0.543600i
$269$	−11.8162	+	3.98135i	−0.720448	+	0.242747i	−0.655558	−	0.755145i	$-0.727566\pi$
$269$	−11.8162	+	3.98135i	−0.720448	+	0.242747i	−0.0648906	+	0.997892i	$0.520670\pi$
$270$	−13.9589	+	13.0063i	−0.849511	+	0.791540i
$271$	−17.1036	−	13.0018i	−1.03897	−	0.789804i	−0.0609126	−	0.998143i	$-0.519401\pi$
$271$	−17.1036	−	13.0018i	−1.03897	−	0.789804i	−0.978057	+	0.208339i	$0.933194\pi$
$272$	−5.44578	+	2.16980i	−0.330199	+	0.131563i
$273$	−1.76145	+	4.88932i	−0.106608	+	0.295915i
$274$	19.3555	+	5.37403i	1.16931	+	0.324657i
$275$	13.7881	+	3.03498i	0.831452	+	0.183016i
$276$	−1.39242	−	1.10492i	−0.0838136	−	0.0665085i
$277$	6.38255	−	16.0190i	0.383491	−	0.962489i	−0.602863	−	0.797845i	$-0.705973\pi$
$277$	6.38255	−	16.0190i	0.383491	−	0.962489i	0.986353	−	0.164644i	$-0.0526474\pi$
$278$	−7.43578	−	14.0254i	−0.445969	−	0.841186i
$279$	−4.59505	−	6.59713i	−0.275099	−	0.394960i
$280$	−6.55405	+	0.355351i	−0.391680	+	0.0212363i
$281$	1.50685	−	0.418376i	0.0898914	−	0.0249582i	−0.222291	−	0.974980i	$-0.571354\pi$
$281$	1.50685	−	0.418376i	0.0898914	−	0.0249582i	0.312183	+	0.950022i	$0.398940\pi$
$282$	1.37118	−	18.2571i	0.0816526	−	1.08719i
$283$	19.5714	−	3.20857i	1.16340	−	0.190730i	0.451013	−	0.892517i	$-0.351063\pi$
$283$	19.5714	−	3.20857i	1.16340	−	0.190730i	0.712386	+	0.701788i	$0.247614\pi$
$284$	−0.890678	−	8.18965i	−0.0528520	−	0.485966i
$285$	−5.90951	−	4.18875i	−0.350049	−	0.248120i
$286$	−1.17308	−	2.53558i	−0.0693658	−	0.149932i
$287$	−12.7353	+	10.8174i	−0.751739	+	0.638533i
$288$	0.681686	+	2.92152i	0.0401687	+	0.172152i
$289$	9.74478	−	14.3725i	0.573222	−	0.845440i
$290$	0.307726	−	1.87704i	0.0180703	−	0.110224i
$291$	−0.0781571	−	0.248957i	−0.00458165	−	0.0145941i
$292$	2.15445	+	9.78775i	0.126079	+	0.572785i
$293$	−15.9384	−	16.8259i	−0.931130	−	0.982982i	0.0687622	−	0.997633i	$-0.478095\pi$
$293$	−15.9384	−	16.8259i	−0.931130	−	0.982982i	−0.999893	+	0.0146506i	$0.995336\pi$
$294$	2.31122	+	6.17097i	0.134793	+	0.359898i
$295$	−23.0018	+	16.3205i	−1.33922	+	0.950215i
$296$			3.69933i			0.215019i
$297$	8.35236	−	2.24516i	0.484653	−	0.130278i
$298$	5.05987	−	1.11376i	0.293111	−	0.0645185i
$299$	−1.72005	−	0.0932582i	−0.0994729	−	0.00539326i
$300$	−14.4104	+	2.85913i	−0.831987	+	0.165072i
$301$	15.8404	+	10.7401i	0.913026	+	0.619047i
$302$	6.28681	+	3.33306i	0.361765	+	0.191796i
$303$	−10.1909	+	18.2924i	−0.585452	+	1.05087i
$304$	−1.03369	+	0.478237i	−0.0592863	+	0.0274288i
$305$	3.32081	+	4.89782i	0.190149	+	0.280449i
$306$	−12.9186	−	11.9327i	−0.738510	−	0.682148i
$307$	−2.65502	−	16.1949i	−0.151530	−	0.924294i	−0.947686	−	0.319203i	$-0.896585\pi$
$307$	−2.65502	−	16.1949i	−0.151530	−	0.924294i	0.796156	−	0.605091i	$-0.206863\pi$
$308$	2.70041	+	1.24934i	0.153870	+	0.0711878i
$309$	13.6579	+	18.7642i	0.776971	+	1.06746i
$310$	−0.532728	−	9.82559i	−0.0302569	−	0.558056i
$311$	−1.21394	+	11.1620i	−0.0688364	+	0.632940i	0.908003	+	0.418964i	$0.137607\pi$
$311$	−1.21394	+	11.1620i	−0.0688364	+	0.632940i	−0.976839	+	0.213976i	$0.931359\pi$
$312$	2.17615	+	1.92777i	0.123200	+	0.109138i
$313$	−10.8037	−	4.30459i	−0.610662	−	0.243310i	0.0442433	−	0.999021i	$-0.485912\pi$
$313$	−10.8037	−	4.30459i	−0.610662	−	0.243310i	−0.654906	+	0.755711i	$0.727292\pi$
$314$	−2.24403	−	3.72961i	−0.126638	−	0.210474i
$315$	−9.44139	−	17.2800i	−0.531962	−	0.973616i
$316$	−1.02827	+	3.70349i	−0.0578447	+	0.208338i
$317$	23.5912	+	20.0385i	1.32501	+	1.12548i	0.982561	+	0.185941i	$0.0595332\pi$
$317$	23.5912	+	20.0385i	1.32501	+	1.12548i	0.342452	+	0.939535i	$0.388743\pi$
$318$	−14.3231	−	15.7649i	−0.803202	−	0.884051i
$319$	−0.521811	+	0.686430i	−0.0292158	+	0.0384327i
$320$	−1.17241	+	3.47958i	−0.0655396	+	0.194515i
$321$	21.5276	−	17.5282i	1.20155	−	0.978329i
$322$	1.46048	−	1.11022i	0.0813891	−	0.0618704i
$323$	3.44222	−	5.72101i	0.191530	−	0.318325i
$324$	−7.02567	+	5.62494i	−0.390315	+	0.312497i
$325$	−9.79076	+	10.3360i	−0.543093	+	0.573337i
$326$	3.23725	+	1.94779i	0.179294	+	0.107878i
$327$	−13.2119	+	20.9590i	−0.730622	+	1.15904i
$328$	2.98464	+	8.85810i	0.164799	+	0.489107i
$329$	17.9065	+	6.03340i	0.987218	+	0.332632i
$330$	10.1387	+	3.04345i	0.558114	+	0.167537i
$331$	1.53767	+	3.85925i	0.0845179	+	0.212124i	0.965161	−	0.261656i	$-0.0842686\pi$
$331$	1.53767	+	3.85925i	0.0845179	+	0.212124i	−0.880643	+	0.473780i	$0.842889\pi$
$332$	−6.06482	+	7.14006i	−0.332850	+	0.391862i
$333$	−10.0129	+	4.78615i	−0.548703	+	0.262280i
$334$	−0.123690	+	0.561928i	−0.00676800	+	0.0307473i
$335$	−35.1698	+	21.1609i	−1.92153	+	1.15615i
$336$	−3.09554	−	0.0643902i	−0.168875	−	0.00351277i
$337$	10.4852	−	5.55888i	0.571163	−	0.302811i	−0.157682	−	0.987490i	$-0.550402\pi$
$337$	10.4852	−	5.55888i	0.571163	−	0.302811i	0.728845	+	0.684679i	$0.240057\pi$
$338$	−10.1230	−	1.10094i	−0.550619	−	0.0598834i
$339$	21.4629	−	9.39296i	1.16571	−	0.510156i
$340$	−5.75842	−	20.7399i	−0.312294	−	1.12478i
$341$	−1.87297	+	4.04835i	−0.101427	+	0.219230i
$342$	−2.63181	−	2.17913i	−0.142312	−	0.117834i
$343$	−19.2009	+	2.08822i	−1.03675	+	0.112753i
$344$	8.86128	−	6.00810i	0.477768	−	0.323935i
$345$	4.58604	−	4.64405i	0.246904	−	0.250027i
$346$	12.1867	+	14.3473i	0.655160	+	0.771314i
$347$	−5.78201	+	10.9060i	−0.310395	+	0.585466i	−0.988804	−	0.149217i	$-0.952325\pi$
$347$	−5.78201	+	10.9060i	−0.310395	+	0.585466i	0.678410	+	0.734684i	$0.262669\pi$
$348$	0.211065	−	0.872078i	0.0113143	−	0.0467483i
$349$	7.63876	+	1.25231i	0.408893	+	0.0670347i	0.362719	−	0.931899i	$-0.381849\pi$
$349$	7.63876	+	1.25231i	0.408893	+	0.0670347i	0.0461748	+	0.998933i	$0.485297\pi$
$350$	0.820880	−	15.1402i	0.0438779	−	0.809280i
$351$	−2.40236	+	8.38427i	−0.128228	+	0.447519i
$352$	1.20840	−	1.14466i	0.0644080	−	0.0610105i
$353$	−29.9263			−1.59282			−0.796409	−	0.604758i	$-0.793270\pi$
$353$	−29.9263			−1.59282			−0.796409	+	0.604758i	$0.793270\pi$
$354$	−11.3965	+	6.86443i	−0.605716	+	0.364840i
$355$	30.2480			1.60540
$356$	8.28267	−	7.84576i	0.438981	−	0.415825i
$357$	15.2315	−	9.87113i	0.806134	−	0.522436i
$358$	−0.440265	+	8.12022i	−0.0232688	+	0.429167i
$359$	−25.4268	−	4.16851i	−1.34198	−	0.220006i	−0.552359	−	0.833606i	$-0.686272\pi$
$359$	−25.4268	−	4.16851i	−1.34198	−	0.220006i	−0.789617	+	0.613600i	$0.789721\pi$
$360$	−10.9350	+	1.32852i	−0.576323	+	0.0700191i
$361$	−8.29213	+	15.6406i	−0.436428	+	0.823190i
$362$	−0.861762	−	1.01454i	−0.0452932	−	0.0533233i
$363$	10.1422	+	10.0155i	0.532328	+	0.525679i
$364$	−2.48344	+	1.68381i	−0.130168	+	0.0882559i
$365$	−36.5832	+	3.97866i	−1.91485	+	0.208253i
$366$	1.38905	+	2.42122i	0.0726070	+	0.126559i
$367$	4.89925	−	10.5896i	0.255739	−	0.552770i	−0.736598	−	0.676330i	$-0.763569\pi$
$367$	4.89925	−	10.5896i	0.255739	−	0.552770i	0.992337	+	0.123560i	$0.0394312\pi$
$368$	−0.274556	−	0.988860i	−0.0143122	−	0.0515479i
$369$	−20.1145	+	19.5390i	−1.04712	+	1.01716i
$370$	−13.5035	−	1.46860i	−0.702015	−	0.0763487i
$371$	19.4222	−	10.2970i	1.00835	−	0.534593i
$372$	0.0965313	−	4.64071i	0.00500491	−	0.240610i
$373$	22.6239	−	13.6124i	1.17142	−	0.704822i	0.209411	−	0.977828i	$-0.432845\pi$
$373$	22.6239	−	13.6124i	1.17142	−	0.704822i	0.962012	+	0.273006i	$0.0880178\pi$
$374$	−2.09754	+	9.52924i	−0.108461	+	0.492745i
$375$	−1.93593	−	22.0601i	−0.0999709	−	1.13918i
$376$	6.84314	−	8.05637i	0.352908	−	0.415475i
$377$	−0.321837	−	0.807751i	−0.0165755	−	0.0416013i
$378$	−3.83069	−	8.46194i	−0.197030	−	0.435235i
$379$	21.8299	+	7.35535i	1.12133	+	0.377819i	0.818087	−	0.575095i	$-0.195035\pi$
$379$	21.8299	+	7.35535i	1.12133	+	0.377819i	0.303240	+	0.952914i	$0.401932\pi$
$380$	−1.33533	−	3.96311i	−0.0685008	−	0.203303i
$381$	11.8305	+	7.45757i	0.606093	+	0.382063i
$382$	−1.73678	−	1.04499i	−0.0888614	−	0.0534661i
$383$	1.33499	−	1.40933i	0.0682147	−	0.0720134i	−0.690995	−	0.722860i	$-0.742827\pi$
$383$	1.33499	−	1.40933i	0.0682147	−	0.0720134i	0.759209	+	0.650846i	$0.225586\pi$
$384$	−0.674422	+	1.59535i	−0.0344164	+	0.0814126i
$385$	−5.63246	+	9.36123i	−0.287057	+	0.477092i
$386$	4.73827	−	3.60194i	0.241172	−	0.183334i
$387$	27.7266	+	16.2114i	1.40942	+	0.824073i
$388$	0.0481034	−	0.142766i	0.00244208	−	0.00724784i
$389$	18.5521	−	24.4049i	0.940630	−	1.23738i	−0.0306723	−	0.999529i	$-0.509765\pi$
$389$	18.5521	−	24.4049i	0.940630	−	1.23738i	0.971302	−	0.237848i	$-0.0764421\pi$
$390$	−7.90077	+	7.17823i	−0.400071	+	0.363484i
$391$	4.58526	+	3.89475i	0.231886	+	0.196966i
$392$	−1.01781	+	3.66582i	−0.0514072	+	0.185152i
$393$	−4.96051	−	34.7730i	−0.250225	−	1.75406i
$394$	11.7744	+	19.5693i	0.593188	+	0.985886i
$395$	−13.1105	−	5.22371i	−0.659662	−	0.262833i
$396$	4.66164	+	1.78980i	0.234256	+	0.0899410i
$397$	−1.48708	+	13.6735i	−0.0746343	+	0.686251i	0.895729	+	0.444600i	$0.146654\pi$
$397$	−1.48708	+	13.6735i	−0.0746343	+	0.686251i	−0.970363	+	0.241651i	$0.922311\pi$
$398$	0.527262	+	9.72478i	0.0264293	+	0.487459i
$399$	2.85116	−	2.07528i	0.142737	−	0.103894i
$400$	−7.69809	−	3.56152i	−0.384905	−	0.178076i
$401$	−3.39516	−	20.7096i	−0.169546	−	1.03419i	−0.925274	−	0.379300i	$-0.876165\pi$
$401$	−3.39516	−	20.7096i	−0.169546	−	1.03419i	0.755727	−	0.654886i	$-0.227284\pi$
$402$	−17.2912	+	8.71148i	−0.862407	+	0.434489i
$403$	−2.52431	−	3.72308i	−0.125745	−	0.185460i
$404$	−10.9721	+	5.07624i	−0.545883	+	0.252552i
$405$	−17.7434	−	27.8786i	−0.881678	−	1.38530i
$406$	0.818159	+	0.433761i	0.0406046	+	0.0215272i
$407$	5.09644	+	3.45547i	0.252621	+	0.171281i
$408$	−1.97601	−	9.95937i	−0.0978272	−	0.493062i
$409$	−37.2030	−	2.01709i	−1.83957	−	0.0997386i	−0.898712	−	0.438539i	$-0.855496\pi$
$409$	−37.2030	−	2.01709i	−1.83957	−	0.0997386i	−0.940858	+	0.338800i	$0.889979\pi$
$410$	−33.5193	+	7.37816i	−1.65540	+	0.364381i
$411$	−15.2627	+	31.2666i	−0.752854	+	1.54227i
$412$			13.3994i			0.660143i
$413$	−3.95399	−	13.1492i	−0.194563	−	0.647028i
$414$	2.32131	−	2.02251i	0.114086	−	0.0994010i
$415$	−23.6555	−	24.9728i	−1.16120	−	1.22586i
$416$	0.360824	+	1.63924i	0.0176909	+	0.0803704i
$417$	26.2332	−	8.23560i	1.28465	−	0.403299i
$418$	−0.306701	+	1.87079i	−0.0150012	+	0.0915036i
$419$	−7.86652	+	11.6023i	−0.384305	+	0.566807i	−0.969810	−	0.243861i	$-0.921586\pi$
$419$	−7.86652	+	11.6023i	−0.384305	+	0.566807i	0.585505	+	0.810669i	$0.300896\pi$
$420$	1.46394	−	11.2740i	0.0714330	−	0.550114i
$421$	−26.5944	+	22.5895i	−1.29613	+	1.10095i	−0.307350	+	0.951597i	$0.599442\pi$
$421$	−26.5944	+	22.5895i	−1.29613	+	1.10095i	−0.988784	+	0.149349i	$0.952282\pi$
$422$	5.59909	+	12.1022i	0.272559	+	0.589128i
$423$	30.6596	+	8.09893i	1.49072	+	0.393783i
$424$	−1.32959	−	12.2254i	−0.0645707	−	0.593718i
$425$	49.0678	−	8.04426i	2.38014	−	0.390204i
$426$	14.2285	+	1.06862i	0.689371	+	0.0517746i
$427$	−2.77589	+	0.770722i	−0.134335	+	0.0372978i
$428$	16.0043	−	0.867730i	0.773599	−	0.0419433i
$429$	4.68852	−	1.19732i	0.226364	−	0.0578072i
$430$	18.4133	+	34.7312i	0.887969	+	1.67489i
$431$	−8.93752	+	22.4315i	−0.430505	+	1.08049i	0.540482	+	0.841356i	$0.318242\pi$
$431$	−8.93752	+	22.4315i	−0.430505	+	1.08049i	−0.970987	+	0.239131i	$0.923137\pi$
$432$	−5.19067	+	0.238611i	−0.249736	+	0.0114802i
$433$	−1.46671	−	0.322848i	−0.0704857	−	0.0155151i	0.179588	−	0.983742i	$-0.442524\pi$
$433$	−1.46671	−	0.322848i	−0.0704857	−	0.0155151i	−0.250073	+	0.968227i	$0.580455\pi$
$434$	4.61596	+	1.28161i	0.221573	+	0.0615195i
$435$	3.09953	+	1.11665i	0.148611	+	0.0535393i
$436$	−13.2883	+	5.29455i	−0.636395	+	0.253563i
$437$	0.930536	+	0.707375i	0.0445136	+	0.0338383i
$438$	−17.3491	+	0.579108i	−0.828970	+	0.0276709i
$439$	16.5049	−	5.56116i	0.787738	−	0.265420i	0.103453	−	0.994634i	$-0.467011\pi$
$439$	16.5049	−	5.56116i	0.787738	−	0.265420i	0.684285	+	0.729215i	$0.260114\pi$
$440$	3.69858	+	4.86540i	0.176323	+	0.231949i
$441$	−11.2390	+	1.98792i	−0.535192	+	0.0946629i
$442$	−7.14342	−	6.76661i	−0.339778	−	0.321855i
$443$	6.60086	+	6.25267i	0.313616	+	0.297073i	0.828275	−	0.560322i	$-0.189323\pi$
$443$	6.60086	+	6.25267i	0.313616	+	0.297073i	−0.514658	+	0.857395i	$0.672081\pi$
$444$	−6.30009	−	1.16788i	−0.298989	−	0.0554250i
$445$	25.3510	+	33.3487i	1.20175	+	1.58088i
$446$	−25.4626	+	8.57933i	−1.20569	+	0.406243i
$447$	0.299376	+	8.96877i	0.0141600	+	0.424208i
$448$	−1.42309	−	1.08181i	−0.0672348	−	0.0511106i
$449$	27.4309	−	10.9295i	1.29454	−	0.515794i	0.381770	−	0.924257i	$-0.375315\pi$
$449$	27.4309	−	10.9295i	1.29454	−	0.515794i	0.912775	+	0.408464i	$0.133935\pi$
$450$	−0.319836	−	25.4441i	−0.0150772	−	1.19945i
$451$	14.9914	+	4.16234i	0.705918	+	0.195997i
$452$	13.2101	+	2.90776i	0.621350	+	0.136770i
$453$	−7.66106	+	9.65442i	−0.359948	+	0.453604i
$454$	4.68784	−	11.7656i	0.220011	−	0.552186i
$455$	−5.16047	−	9.73368i	−0.241927	−	0.456322i
$456$	−0.488118	−	1.91139i	−0.0228582	−	0.0895092i
$457$	3.46309	−	0.187763i	0.161997	−	0.00878320i	0.0270378	−	0.999634i	$-0.491393\pi$
$457$	3.46309	−	0.187763i	0.161997	−	0.00878320i	0.134959	+	0.990851i	$0.456910\pi$
$458$	11.3699	−	3.15684i	0.531281	−	0.147509i
$459$	24.4003	−	18.2338i	1.13891	−	0.851079i
$460$	3.71860	−	0.609634i	0.173381	−	0.0284243i
$461$	−2.59595	−	23.8693i	−0.120905	−	1.11171i	−0.884672	−	0.466214i	$-0.845618\pi$
$461$	−2.59595	−	23.8693i	−0.120905	−	1.11171i	0.763767	−	0.645492i	$-0.223348\pi$
$462$	−2.98019	+	4.20447i	−0.138651	+	0.195610i
$463$	−3.52251	−	7.61378i	−0.163705	−	0.353842i	0.808312	−	0.588755i	$-0.200382\pi$
$463$	−3.52251	−	7.61378i	−0.163705	−	0.353842i	−0.972017	+	0.234913i	$0.924520\pi$
$464$	0.394824	−	0.335366i	0.0183292	−	0.0155690i
$465$	16.9015	+	2.19468i	0.783789	+	0.101776i
$466$	0.184746	−	0.272480i	0.00855820	−	0.0126224i
$467$	−1.46462	+	8.93379i	−0.0677745	+	0.413406i	0.931048	+	0.364896i	$0.118896\pi$
$467$	−1.46462	+	8.93379i	−0.0677745	+	0.413406i	−0.998823	+	0.0485101i	$0.984553\pi$
$468$	−3.97007	+	3.09747i	−0.183516	+	0.143181i
$469$	−4.29568	−	19.5154i	−0.198356	−	0.901140i
$470$	26.6912	+	28.1776i	1.23117	+	1.29973i
$471$	7.06010	−	2.64423i	0.325312	−	0.121840i
$472$	−7.65206	−	0.667847i	−0.352214	−	0.0307402i
$473$		−	17.8199i		−	0.819362i
$474$	−5.98256	−	2.92037i	−0.274788	−	0.134137i
$475$	9.43485	−	2.07677i	0.432900	−	0.0952886i
$476$	10.4638	+	0.567329i	0.479606	+	0.0260035i
$477$	31.3700	−	19.4159i	1.43633	−	0.888992i
$478$	17.1986	+	11.6609i	0.786646	+	0.533359i
$479$	3.83372	+	2.03251i	0.175167	+	0.0928677i	0.553685	−	0.832726i	$-0.313221\pi$
$479$	3.83372	+	2.03251i	0.175167	+	0.0928677i	−0.378518	+	0.925594i	$0.623566\pi$
$480$	−5.55573	−	3.09516i	−0.253583	−	0.141274i
$481$	−5.63537	+	2.60720i	−0.256951	+	0.118878i
$482$	−6.95812	−	10.2625i	−0.316934	−	0.467442i
$483$	1.42968	+	2.83774i	0.0650527	+	0.129122i
$484$	1.33139	+	8.12112i	0.0605177	+	0.369142i
$485$	0.502037	+	0.232267i	0.0227963	+	0.0105467i
$486$	−7.36148	−	13.7408i	−0.333924	−	0.623294i
$487$	1.98431	+	36.5985i	0.0899177	+	1.65843i	0.601257	+	0.799056i	$0.294667\pi$
$487$	1.98431	+	36.5985i	0.0899177	+	1.65843i	−0.511339	+	0.859379i	$0.670850\pi$
$488$	−0.174245	+	1.60216i	−0.00788770	+	0.0725262i
$489$	−4.33915	+	4.89823i	−0.196223	+	0.221506i
$490$	−12.9772	−	5.17058i	−0.586249	−	0.233583i
$491$	9.23103	+	15.3421i	0.416591	+	0.692379i	0.992105	−	0.125413i	$-0.0400256\pi$
$491$	9.23103	+	15.3421i	0.416591	+	0.692379i	−0.575514	+	0.817792i	$0.695198\pi$
$492$	−16.0279	+	2.28645i	−0.722595	+	0.103081i
$493$	−0.812421	+	2.92608i	−0.0365896	+	0.131784i
$494$	−1.45704	−	1.23762i	−0.0655555	−	0.0556834i
$495$	−8.38389	+	16.3057i	−0.376828	+	0.732886i
$496$	1.62180	−	2.13345i	0.0728212	−	0.0957946i
$497$	−4.70207	+	13.9553i	−0.210917	+	0.625979i
$498$	−10.2451	−	12.5827i	−0.459095	−	0.563846i
$499$	21.3040	−	16.1949i	0.953699	−	0.724983i	−0.00774920	−	0.999970i	$-0.502467\pi$
$499$	21.3040	−	16.1949i	0.953699	−	0.724983i	0.961448	+	0.274987i	$0.0886736\pi$
$500$	6.59153	−	10.9552i	0.294782	−	0.489932i
$501$	−0.917934	−	0.388049i	−0.0410103	−	0.0173367i
$502$	−1.42204	+	1.50123i	−0.0634688	+	0.0670032i
$503$	−14.5626	−	8.76200i	−0.649313	−	0.390678i	0.152458	−	0.988310i	$-0.451281\pi$
$503$	−14.5626	−	8.76200i	−0.649313	−	0.390678i	−0.801771	+	0.597631i	$0.796109\pi$
$504$	1.08692	−	5.25149i	0.0484153	−	0.233920i
$505$	−14.1738	−	42.0663i	−0.630726	−	1.87193i
$506$	−1.61878	−	0.545430i	−0.0719634	−	0.0242473i
$507$	5.07078	−	16.8923i	0.225201	−	0.750212i
$508$	2.98855	+	7.50069i	0.132595	+	0.332789i
$509$	5.86464	−	6.90439i	0.259945	−	0.306031i	−0.616671	−	0.787221i	$-0.711519\pi$
$509$	5.86464	−	6.90439i	0.259945	−	0.306031i	0.876617	+	0.481189i	$0.159795\pi$
$510$	37.1388	−	3.25919i	1.64453	−	0.144320i
$511$	3.85128	−	17.4965i	0.170371	−	0.774002i
$512$	−0.856857	+	0.515554i	−0.0378681	+	0.0227845i
$513$	4.54201	−	3.79412i	0.200535	−	0.167515i
$514$	2.97585	−	1.57770i	0.131259	−	0.0695892i
$515$	−48.9115	−	5.31945i	−2.15530	−	0.234403i
$516$	7.43450	+	16.9878i	0.327286	+	0.747848i
$517$	−4.70694	−	16.9529i	−0.207011	−	0.745586i
$518$	2.77669	−	6.00171i	0.122001	−	0.263700i
$519$	−28.2813	+	16.2249i	−1.24141	+	0.712195i
$520$	−6.12691	+	0.666342i	−0.268683	+	0.0292210i
$521$	3.59233	−	2.43566i	0.157383	−	0.106708i	−0.479954	−	0.877294i	$-0.659346\pi$
$521$	3.59233	−	2.43566i	0.157383	−	0.106708i	0.637337	+	0.770586i	$0.280036\pi$
$522$	1.41855	+	0.634767i	0.0620881	+	0.0277830i
$523$	−7.66157	−	9.01990i	−0.335017	−	0.394413i	0.568698	−	0.822546i	$-0.307447\pi$
$523$	−7.66157	−	9.01990i	−0.335017	−	0.394413i	−0.903716	+	0.428133i	$0.859171\pi$
$524$	9.49905	−	17.9171i	0.414968	−	0.782713i
$525$	25.5252	+	6.17776i	1.11401	+	0.269620i
$526$	−10.1524	−	1.66441i	−0.442667	−	0.0725716i
$527$	−0.850517	+	15.6869i	−0.0370491	+	0.683331i
$528$	1.56790	+	2.41932i	0.0682342	+	0.105287i
$529$	15.9333	−	15.0928i	0.692750	−	0.656208i
$530$	45.1538			1.96135
$531$	−8.09251	−	21.5757i	−0.351185	−	0.936306i
$532$	2.03600			0.0882718
$533$	−11.3905	+	10.7896i	−0.493377	+	0.467351i
$534$	10.7468	+	16.5826i	0.465059	+	0.717599i
$535$	−3.18612	+	58.7646i	−0.137748	+	2.54061i
$536$	−11.0312	−	1.80848i	−0.476477	−	0.0781144i
$537$	−13.6900	−	3.31334i	−0.590769	−	0.142981i
$538$	5.84056	−	11.0165i	0.251804	−	0.474953i
$539$	4.09956	+	4.82638i	0.176581	+	0.207887i
$540$	1.18965	−	19.0421i	0.0511944	−	0.819440i
$541$	−15.9798	+	10.8345i	−0.687023	+	0.465813i	−0.854085	−	0.520133i	$-0.825882\pi$
$541$	−15.9798	+	10.8345i	−0.687023	+	0.465813i	0.167062	+	0.985946i	$0.446572\pi$
$542$	21.3585	−	2.32287i	0.917425	−	0.0997760i
$543$	1.99986	−	1.14732i	0.0858224	−	0.0492362i
$544$	2.46145	−	5.32033i	0.105534	−	0.228107i
$545$	−14.0512	−	50.6078i	−0.601887	−	2.16780i
$546$	−2.08358	−	4.76097i	−0.0891688	−	0.203751i
$547$	13.3043	+	1.44693i	0.568852	+	0.0618664i	0.388026	−	0.921649i	$-0.373157\pi$
$547$	13.3043	+	1.44693i	0.568852	+	0.0618664i	0.180827	+	0.983515i	$0.442123\pi$
$548$	−17.7477	+	9.40925i	−0.758145	+	0.401943i
$549$	−4.56196	+	1.60123i	−0.194700	+	0.0683388i
$550$	−12.0972	+	7.27866i	−0.515828	+	0.310363i
$551$	−0.126836	+	0.576222i	−0.00540340	+	0.0245479i
$552$	1.77074	−	0.155395i	0.0753678	−	0.00661406i
$553$	4.44806	−	5.23666i	0.189151	−	0.222685i
$554$	6.38255	+	16.0190i	0.271169	+	0.680582i
$555$	6.76414	−	22.5334i	0.287122	−	0.956488i
$556$	15.0436	+	5.06877i	0.637990	+	0.214964i
$557$	4.35353	+	12.9208i	0.184465	+	0.547473i	0.999489	−	0.0319542i	$-0.0101731\pi$
$557$	4.35353	+	12.9208i	0.184465	+	0.547473i	−0.815024	+	0.579427i	$0.803277\pi$
$558$	7.87283	+	1.62947i	0.333284	+	0.0689810i
$559$	15.3977	+	9.26447i	0.651252	+	0.391845i
$560$	4.51384	−	4.76520i	0.190745	−	0.201367i
$561$	−15.5665	−	6.58058i	−0.657216	−	0.277832i
$562$	−0.806253	+	1.34000i	−0.0340097	+	0.0565246i
$563$	17.3325	−	13.1758i	0.730478	−	0.555295i	−0.172486	−	0.985012i	$-0.555180\pi$
$563$	17.3325	−	13.1758i	0.730478	−	0.555295i	0.902964	+	0.429717i	$0.141387\pi$
$564$	11.5599	+	14.1975i	0.486760	+	0.597823i
$565$	−15.8584	+	47.0660i	−0.667167	+	1.98008i
$566$	−12.0022	+	15.7887i	−0.504491	+	0.663646i
$567$	15.6203	−	3.85238i	0.655992	−	0.161785i
$568$	6.27865	+	5.33313i	0.263446	+	0.223773i
$569$	−7.18806	+	25.8890i	−0.301339	+	1.08532i	0.645538	+	0.763728i	$0.276633\pi$
$569$	−7.18806	+	25.8890i	−0.301339	+	1.08532i	−0.946877	+	0.321597i	$0.895781\pi$
$570$	7.17088	−	1.02296i	0.300355	−	0.0428469i
$571$	16.0726	+	26.7128i	0.672616	+	1.11790i	0.985755	+	0.168189i	$0.0537919\pi$
$571$	16.0726	+	26.7128i	0.672616	+	1.11790i	−0.313139	+	0.949707i	$0.601381\pi$
$572$	2.59537	+	1.03409i	0.108518	+	0.0432374i
$573$	2.32795	−	2.62790i	0.0972515	−	0.109782i
$574$	1.80660	−	16.6114i	0.0754062	−	0.693349i
$575$	0.471271	+	8.69208i	0.0196534	+	0.362485i
$576$	−2.50403	−	1.65222i	−0.104335	−	0.0688424i
$577$	25.4501	+	11.7744i	1.05950	+	0.490177i	0.870688	−	0.491837i	$-0.163674\pi$
$577$	25.4501	+	11.7744i	1.05950	+	0.490177i	0.188812	+	0.982013i	$0.439536\pi$
$578$	2.80928	+	17.1358i	0.116851	+	0.712757i
$579$	4.63836	+	9.20658i	0.192764	+	0.382612i
$580$	1.06743	+	1.57435i	0.0443228	+	0.0653713i
$581$	15.1987	−	7.03168i	0.630549	−	0.291723i
$582$	0.227949	+	0.126993i	0.00944880	+	0.00526403i
$583$	−18.0845	−	9.58777i	−0.748982	−	0.397085i
$584$	−8.29515	−	5.62425i	−0.343256	−	0.232733i
$585$	−9.73051	−	15.7215i	−0.402307	−	0.650003i
$586$	23.1424	+	1.25474i	0.956003	+	0.0518330i
$587$	23.1763	−	5.10149i	0.956588	−	0.210561i	0.290869	−	0.956763i	$-0.406056\pi$
$587$	23.1763	−	5.10149i	0.956588	−	0.210561i	0.665720	+	0.746202i	$0.268125\pi$
$588$	−5.92171	−	2.89067i	−0.244207	−	0.119209i
$589$			3.05230i			0.125768i
$590$	5.47561	−	27.6669i	0.225427	−	1.13903i
$591$	−37.0444	+	13.8743i	−1.52380	+	0.570712i
$592$	−2.54402	−	2.68569i	−0.104559	−	0.110381i
$593$	−5.98272	−	27.1798i	−0.245681	−	1.11614i	−0.924305	−	0.381654i	$-0.875355\pi$
$593$	−5.98272	−	27.1798i	−0.245681	−	1.11614i	0.678625	−	0.734485i	$-0.262576\pi$
$594$	−4.51978	+	7.37390i	−0.185449	+	0.302555i
$595$	−6.22491	+	37.9703i	−0.255197	+	1.55663i
$596$	−2.90751	+	4.28826i	−0.119096	+	0.175654i
$597$	−16.7281	−	2.17217i	−0.684636	−	0.0889008i
$598$	1.31288	−	1.11517i	0.0536877	−	0.0456027i
$599$	5.18850	+	11.2148i	0.211996	+	0.458222i	0.984179	−	0.177178i	$-0.0566970\pi$
$599$	5.18850	+	11.2148i	0.211996	+	0.458222i	−0.772183	+	0.635401i	$0.780835\pi$
$600$	8.49568	−	11.9858i	0.346835	−	0.489317i
$601$	4.12175	+	37.8989i	0.168130	+	1.54593i	0.709235	+	0.704972i	$0.249041\pi$
$601$	4.12175	+	37.8989i	0.168130	+	1.54593i	−0.541105	+	0.840955i	$0.681994\pi$
$602$	−18.8860	+	3.09620i	−0.769736	+	0.126192i
$603$	−9.37713	−	32.1978i	−0.381866	−	1.31119i
$604$	−6.85634	+	1.90365i	−0.278980	+	0.0774585i
$605$	−30.1728	+	1.63592i	−1.22670	+	0.0665096i
$606$	−5.18112	−	20.2885i	−0.210469	−	0.824162i
$607$	−7.20526	−	13.5906i	−0.292452	−	0.551624i	0.693132	−	0.720811i	$-0.256231\pi$
$607$	−7.20526	−	13.5906i	−0.292452	−	0.551624i	−0.985584	+	0.169187i	$0.945886\pi$
$608$	0.421572	−	1.05807i	0.0170970	−	0.0429103i
$609$	−0.997003	+	1.25642i	−0.0404006	+	0.0509126i
$610$	−5.77912	−	1.27208i	−0.233990	−	0.0515051i
$611$	17.0956	+	4.74656i	0.691612	+	0.192025i
$612$	17.5850	−	0.221046i	0.710832	−	0.00893526i
$613$	18.9421	−	7.54721i	0.765063	−	0.304829i	0.0452306	−	0.998977i	$-0.485598\pi$
$613$	18.9421	−	7.54721i	0.765063	−	0.304829i	0.719833	+	0.694147i	$0.244218\pi$
$614$	13.0648	+	9.93159i	0.527252	+	0.400806i
$615$	−1.98323	−	59.4139i	−0.0799714	−	2.39580i
$616$	−2.81965	+	0.950052i	−0.113607	+	0.0382787i
$617$	20.3197	+	26.7301i	0.818040	+	1.07611i	0.995756	+	0.0920315i	$0.0293361\pi$
$617$	20.3197	+	26.7301i	0.818040	+	1.07611i	−0.177716	+	0.984082i	$0.556871\pi$
$618$	−22.8197	−	4.23020i	−0.917944	−	0.170164i
$619$	−30.0234	−	28.4397i	−1.20674	−	1.14309i	−0.985822	−	0.167794i	$-0.946336\pi$
$619$	−30.0234	−	28.4397i	−1.20674	−	1.14309i	−0.220919	−	0.975292i	$-0.570906\pi$
$620$	7.14381	+	6.76698i	0.286902	+	0.271768i
$621$	2.71157	+	4.59178i	0.108812	+	0.184262i
$622$	−6.79480	−	8.93840i	−0.272447	−	0.358397i
$623$	−19.3266	+	6.51189i	−0.774304	+	0.260893i
$624$	−2.90560	+	0.0969884i	−0.116317	+	0.00388264i
$625$	3.61017	+	2.74438i	0.144407	+	0.109775i
$626$	10.8037	−	4.30459i	0.431803	−	0.172046i
$627$	−3.08921	−	1.11293i	−0.123371	−	0.0444463i
$628$	4.19401	+	1.16446i	0.167359	+	0.0464670i
$629$	21.1789	+	4.66184i	0.844459	+	0.185880i
$630$	18.7378	+	6.05234i	0.746533	+	0.241131i
$631$	−17.2397	+	43.2683i	−0.686300	+	1.72248i	0.00507368	+	0.999987i	$0.498385\pi$
$631$	−17.2397	+	43.2683i	−0.686300	+	1.72248i	−0.691374	+	0.722497i	$0.742994\pi$
$632$	−1.80037	−	3.39586i	−0.0716149	−	0.135080i
$633$	−22.3782	+	5.71478i	−0.889453	+	0.227142i
$634$	−30.9076	+	1.67576i	−1.22750	+	0.0665529i
$635$	−28.5659	+	7.93129i	−1.13360	+	0.314744i
$636$	21.2400	+	1.59521i	0.842222	+	0.0632543i
$637$	−6.30166	+	1.03311i	−0.249681	+	0.0409331i
$638$	−0.0932255	−	0.857194i	−0.00369083	−	0.0339367i
$639$	−6.31182	+	23.8942i	−0.249692	+	0.945241i
$640$	−1.54174	−	3.33243i	−0.0609428	−	0.131726i
$641$	1.80827	−	1.53596i	0.0714224	−	0.0606667i	−0.610964	−	0.791658i	$-0.709218\pi$
$641$	1.80827	−	1.53596i	0.0714224	−	0.0606667i	0.682386	+	0.730992i	$0.260942\pi$
$642$	−3.57479	+	27.5299i	−0.141086	+	1.08652i
$643$	−7.06899	+	10.4260i	−0.278774	+	0.411161i	−0.941139	−	0.338021i	$-0.890243\pi$
$643$	−7.06899	+	10.4260i	−0.278774	+	0.411161i	0.662365	+	0.749181i	$0.269553\pi$
$644$	−0.296798	+	1.81039i	−0.0116955	+	0.0713392i
$645$	−64.9616	+	20.3939i	−2.55786	+	0.803009i
$646$	1.43530	+	6.52063i	0.0564711	+	0.256551i
$647$	3.62745	+	3.82945i	0.142610	+	0.150551i	0.793387	−	0.608717i	$-0.208316\pi$
$647$	3.62745	+	3.82945i	0.142610	+	0.150551i	−0.650778	+	0.759268i	$0.725557\pi$
$648$	1.23233	−	8.91523i	0.0484105	−	0.350223i
$649$	−8.06771	+	9.91816i	−0.316685	+	0.389322i
$650$		−	14.2370i		−	0.558420i
$651$	−3.63990	+	7.45654i	−0.142659	+	0.292245i
$652$	−3.68972	+	0.812168i	−0.144501	+	0.0318070i
$653$	−2.96059	−	0.160518i	−0.115857	−	0.00628157i	−0.00388067	−	0.999992i	$-0.501235\pi$
$653$	−2.96059	−	0.160518i	−0.115857	−	0.00628157i	−0.111976	+	0.993711i	$0.535718\pi$
$654$	−4.82169	−	24.3020i	−0.188543	−	0.950283i
$655$	61.6312	+	41.7870i	2.40813	+	1.63275i
$656$	−8.25855	−	4.37841i	−0.322442	−	0.170948i
$657$	4.49085	−	29.7289i	0.175205	−	1.15983i
$658$	−17.1492	+	7.93407i	−0.668546	+	0.309302i
$659$	18.9563	+	27.9584i	0.738431	+	1.08910i	0.992539	+	0.121928i	$0.0389078\pi$
$659$	18.9563	+	27.9584i	0.738431	+	1.08910i	−0.254108	+	0.967176i	$0.581782\pi$
$660$	−9.45360	+	4.76281i	−0.367981	+	0.185392i
$661$	−1.65303	−	10.0831i	−0.0642955	−	0.392185i	−0.999295	−	0.0375369i	$-0.988049\pi$
$661$	−1.65303	−	10.0831i	−0.0642955	−	0.392185i	0.935000	−	0.354648i	$-0.115399\pi$
$662$	−3.77035	−	1.74435i	−0.146539	−	0.0677960i
$663$	13.7790	−	10.0293i	0.535131	−	0.389506i
$664$	−0.507182	−	9.35443i	−0.0196825	−	0.363022i
$665$	−0.808273	+	7.43195i	−0.0313435	+	0.288198i
$666$	3.97788	−	10.3606i	0.154140	−	0.401464i
$667$	−0.493880	−	0.196780i	−0.0191231	−	0.00761934i
$668$	−0.296639	−	0.493018i	−0.0114773	−	0.0190754i
$669$	−6.57239	−	46.0722i	−0.254103	−	1.78125i
$670$	10.9807	−	39.5490i	0.424222	−	1.52791i
$671$	2.04448	+	1.73659i	0.0789262	+	0.0670405i
$672$	2.29163	−	2.08205i	0.0884015	−	0.0803170i
$673$	−27.0774	+	35.6197i	−1.04376	+	1.37304i	−0.118820	+	0.992916i	$0.537911\pi$
$673$	−27.0774	+	35.6197i	−1.04376	+	1.37304i	−0.924936	+	0.380122i	$0.875882\pi$
$674$	−3.78934	+	11.2464i	−0.145960	+	0.433193i
$675$	43.4332	+	7.48802i	1.67175	+	0.288214i
$676$	8.10637	−	6.16230i	0.311784	−	0.237012i
$677$	6.51272	−	10.8242i	0.250304	−	0.416009i	−0.706075	−	0.708137i	$-0.749536\pi$
$677$	6.51272	−	10.8242i	0.250304	−	0.416009i	0.956379	+	0.292128i	$0.0943635\pi$
$678$	−9.12245	+	21.5793i	−0.350345	+	0.828747i
$679$	−0.185201	+	0.195514i	−0.00710736	+	0.00750315i
$680$	18.4434	+	11.0970i	0.707274	+	0.425552i
$681$	18.5573	+	11.6980i	0.711116	+	0.448267i
$682$	−1.42428	−	4.22712i	−0.0545386	−	0.161865i
$683$	−21.8484	−	7.36157i	−0.836004	−	0.281683i	−0.131441	−	0.991324i	$-0.541960\pi$
$683$	−21.8484	−	7.36157i	−0.836004	−	0.281683i	−0.704563	+	0.709641i	$0.748857\pi$
$684$	3.40927	−	0.227856i	0.130357	−	0.00871229i
$685$	−27.3006	−	68.5193i	−1.04310	−	2.61799i
$686$	12.5037	−	14.7205i	0.477392	−	0.562030i
$687$	1.78673	+	20.3600i	0.0681681	+	0.776782i
$688$	−2.30149	+	10.4558i	−0.0877433	+	0.398622i
$689$	17.6865	−	10.6416i	0.673802	−	0.405413i
$690$	−0.135734	+	6.52537i	−0.00516730	+	0.248417i
$691$	2.08064	−	1.10309i	0.0791514	−	0.0419634i	−0.428363	−	0.903607i	$-0.640909\pi$
$691$	2.08064	−	1.10309i	0.0791514	−	0.0419634i	0.507514	+	0.861644i	$0.330565\pi$
$692$	−18.7141	−	2.03528i	−0.711403	−	0.0773697i
$693$	−6.21953	−	6.40273i	−0.236260	−	0.243220i
$694$	−3.30236	−	11.8940i	−0.125356	−	0.451491i
$695$	−24.4745	+	52.9008i	−0.928372	+	2.00664i
$696$	0.446495	+	0.778274i	0.0169244	+	0.0295004i
$697$	54.4745	−	5.92446i	2.06337	−	0.224405i
$698$	−6.40692	+	4.34400i	−0.242505	+	0.164423i
$699$	0.405719	+	0.400651i	0.0153457	+	0.0151540i
$700$	9.81598	+	11.5563i	0.371009	+	0.436786i
$701$	2.68241	−	5.05956i	0.101313	−	0.191097i	−0.827674	−	0.561210i	$-0.810336\pi$
$701$	2.68241	−	5.05956i	0.101313	−	0.191097i	0.928987	+	0.370113i	$0.120681\pi$
$702$	−4.02175	−	7.73904i	−0.151791	−	0.292091i
$703$	4.15788	+	0.681650i	0.156817	+	0.0257089i
$704$	−0.0901128	+	1.66203i	−0.00339625	+	0.0626402i
$705$	−56.4139	+	36.5605i	−2.12467	+	1.37695i
$706$	21.7264	−	20.5803i	0.817684	−	0.774551i
$707$	21.6111			0.812769
$708$	3.55312	−	12.8209i	0.133535	−	0.481839i
$709$	0.991832			0.0372490			0.0186245	−	0.999827i	$-0.494071\pi$
$709$	0.991832			0.0372490			0.0186245	+	0.999827i	$0.494071\pi$
$710$	−21.9599	+	20.8015i	−0.824141	+	0.780668i
$711$	6.86220	−	9.26655i	0.257352	−	0.347523i
$712$	−0.617655	+	11.3920i	−0.0231476	+	0.426932i
$713$	−2.71406	−	0.444948i	−0.101642	−	0.0166634i
$714$	−4.26959	+	17.6411i	−0.159785	+	0.660200i
$715$	−4.80503	+	9.06326i	−0.179698	+	0.338947i
$716$	−5.26464	−	6.19801i	−0.196749	−	0.231631i
$717$	−25.2886	+	25.6085i	−0.944421	+	0.956367i
$718$	21.3264	−	14.4597i	0.795896	−	0.539631i
$719$	22.7180	−	2.47073i	0.847240	−	0.0921429i	0.325808	−	0.945436i	$-0.394364\pi$
$719$	22.7180	−	2.47073i	0.847240	−	0.0921429i	0.521432	+	0.853293i	$0.325398\pi$
$720$	7.02511	−	8.48447i	0.261810	−	0.316197i
$721$	10.0575	−	21.7390i	0.374561	−	0.809601i
$722$	−4.73599	−	17.0575i	−0.176255	−	0.634815i
$723$	19.6740	−	8.61007i	0.731684	−	0.320212i
$724$	1.32334	+	0.143922i	0.0491814	+	0.00534880i
$725$	−3.88212	+	2.05817i	−0.144178	+	0.0764385i
$726$	−14.2509	−	0.296432i	−0.528900	−	0.0110016i
$727$	−9.92331	+	5.97066i	−0.368035	+	0.221439i	−0.687542	−	0.726145i	$-0.741310\pi$
$727$	−9.92331	+	5.97066i	−0.368035	+	0.221439i	0.319507	+	0.947584i	$0.396483\pi$
$728$	0.645008	−	2.93030i	0.0239056	−	0.108604i
$729$	25.7250	−	8.19892i	0.952779	−	0.303664i
$730$	23.8231	−	28.0467i	0.881732	−	1.03806i
$731$	−23.2300	−	58.3029i	−0.859192	−	2.15641i
$732$	−2.67352	−	0.802546i	−0.0988162	−	0.0296630i
$733$	22.9938	+	7.74752i	0.849297	+	0.286161i	0.710098	−	0.704103i	$-0.248651\pi$
$733$	22.9938	+	7.74752i	0.849297	+	0.286161i	0.139199	+	0.990264i	$0.455547\pi$
$734$	3.72560	+	11.0572i	0.137514	+	0.408128i
$735$	12.9026	−	20.4682i	0.475919	−	0.754983i
$736$	0.879365	+	0.529096i	0.0324138	+	0.0195028i
$737$	−12.7955	+	13.5081i	−0.471330	+	0.497577i
$738$	1.16611	−	28.0180i	0.0429249	−	1.03136i
$739$	16.3001	−	27.0910i	0.599610	−	0.996559i	−0.397276	−	0.917699i	$-0.630044\pi$
$739$	16.3001	−	27.0910i	0.599610	−	0.996559i	0.996886	−	0.0788601i	$-0.0251280\pi$
$740$	10.8135	−	8.22017i	0.397510	−	0.302180i
$741$	2.56771	−	2.09068i	0.0943271	−	0.0768031i
$742$	−7.01919	+	20.8322i	−0.257682	+	0.764774i
$743$	3.81944	−	5.02439i	0.140122	−	0.184327i	−0.720679	−	0.693269i	$-0.756170\pi$
$743$	3.81944	−	5.02439i	0.140122	−	0.184327i	0.860801	+	0.508942i	$0.169963\pi$
$744$	3.12134	+	3.43552i	0.114434	+	0.125952i
$745$	−14.4990	−	12.3156i	−0.531203	−	0.451208i
$746$	−7.06366	+	25.4410i	−0.258619	+	0.931461i
$747$	24.6632	−	13.4754i	0.902381	−	0.493041i
$748$	−5.03045	−	8.36067i	−0.183931	−	0.305696i
$749$	−26.6164	−	10.6049i	−0.972543	−	0.387496i
$750$	16.5762	+	14.6842i	0.605276	+	0.536190i
$751$	−1.32413	+	12.1752i	−0.0483183	+	0.444280i	0.944842	+	0.327525i	$0.106215\pi$
$751$	−1.32413	+	12.1752i	−0.0483183	+	0.444280i	−0.993161	+	0.116755i	$0.962751\pi$
$752$	0.572270	+	10.5549i	0.0208686	+	0.384898i
$753$	−2.10771	−	2.89572i	−0.0768092	−	0.105526i
$754$	0.789143	+	0.365096i	0.0287389	+	0.0132960i
$755$	−4.22694	−	25.7832i	−0.153834	−	0.938346i
$756$	8.60034	+	3.50896i	0.312791	+	0.127620i
$757$	−20.5193	−	30.2638i	−0.745788	−	1.09995i	−0.991436	−	0.130596i	$-0.958311\pi$
$757$	−20.5193	−	30.2638i	−0.745788	−	1.09995i	0.245648	−	0.969359i	$-0.420999\pi$
$758$	−20.9067	+	9.67246i	−0.759365	+	0.351320i
$759$	1.43993	−	2.58464i	0.0522663	−	0.0938167i
$760$	3.69487	+	1.95889i	0.134027	+	0.0710566i
$761$	4.87937	+	3.30830i	0.176877	+	0.119926i	0.646413	−	0.762988i	$-0.276268\pi$
$761$	4.87937	+	3.30830i	0.176877	+	0.119926i	−0.469536	+	0.882913i	$0.655579\pi$
$762$	−13.7174	+	2.72164i	−0.496930	+	0.0985945i
$763$	25.5327	+	1.38435i	0.924347	+	0.0501167i
$764$	1.97953	−	0.435728i	0.0716169	−	0.0157641i
$765$	−6.17420	+	64.2777i	−0.223229	+	2.32397i
$766$			1.94124i			0.0701398i
$767$	−4.37563	−	12.1274i	−0.157995	−	0.437897i
$768$	−0.607497	−	1.62202i	−0.0219212	−	0.0585296i
$769$	−18.3509	−	19.3729i	−0.661752	−	0.698603i	0.305566	−	0.952171i	$-0.401154\pi$
$769$	−18.3509	−	19.3729i	−0.661752	−	0.698603i	−0.967318	+	0.253568i	$0.918396\pi$
$770$	−2.34857	−	10.6697i	−0.0846365	−	0.384508i
$771$	1.74740	+	5.56606i	0.0629310	+	0.200457i
$772$	−0.962911	+	5.87350i	−0.0346559	+	0.211392i
$773$	−6.74385	+	9.94643i	−0.242559	+	0.357748i	−0.929409	−	0.369051i	$-0.879683\pi$
$773$	−6.74385	+	9.94643i	−0.242559	+	0.357748i	0.686850	+	0.726799i	$0.258993\pi$
$774$	−31.2780	+	7.29817i	−1.12426	+	0.262327i
$775$	−17.3247	+	14.7157i	−0.622322	+	0.528605i
$776$	0.0632572	+	0.136728i	0.00227080	+	0.00490825i
$777$	9.34453	+	6.62354i	0.335233	+	0.237618i
$778$	3.31448	+	30.4761i	0.118830	+	1.09262i
$779$	10.5061	−	1.72238i	0.376419	−	0.0617108i
$780$	0.799462	−	10.6447i	0.0286253	−	0.381142i
$781$	13.2120	−	3.66831i	0.472764	−	0.131262i
$782$	−6.00729	+	0.325706i	−0.214820	+	0.0116472i
$783$	−1.52887	+	2.21544i	−0.0546372	+	0.0791734i
$784$	−1.78206	−	3.36132i	−0.0636450	−	0.120047i
$785$	−5.91557	+	14.8470i	−0.211136	+	0.529911i
$786$	27.5146	+	21.8337i	0.981415	+	0.778781i
$787$	−1.06306	−	0.233996i	−0.0378939	−	0.00834107i	0.195983	−	0.980607i	$-0.437210\pi$
$787$	−1.06306	−	0.233996i	−0.0378939	−	0.00834107i	−0.233877	+	0.972266i	$0.575141\pi$
$788$	−22.0060	−	6.10993i	−0.783931	−	0.217657i
$789$	6.03967	−	16.7645i	0.215018	−	0.596832i
$790$	13.1105	−	5.22371i	0.466451	−	0.185851i
$791$	−19.2492	−	14.6329i	−0.684424	−	0.520285i
$792$	−4.61517	+	1.90641i	−0.163993	+	0.0677415i
$793$	−2.56345	+	0.863726i	−0.0910307	+	0.0306718i
$794$	−8.32362	−	10.9495i	−0.295394	−	0.388584i
$795$	−14.2550	+	76.8985i	−0.505574	+	2.72731i
$796$	−7.07051	−	6.69755i	−0.250608	−	0.237388i
$797$	−7.71486	−	7.30791i	−0.273274	−	0.258859i	0.538773	−	0.842451i	$-0.318888\pi$
$797$	−7.71486	−	7.30791i	−0.273274	−	0.258859i	−0.812047	+	0.583592i	$0.801647\pi$
$798$	−0.642766	+	3.46738i	−0.0227537	+	0.122744i
$799$	−37.4997	−	49.3300i	−1.32664	−	1.74517i
$800$	8.03804	−	2.70833i	0.284187	−	0.0957539i
$801$	−31.6335	+	13.0670i	−1.11772	+	0.461701i
$802$	16.7068	+	12.7002i	0.589939	+	0.448460i
$803$	−15.4967	+	6.17444i	−0.546866	+	0.217891i
$804$	6.56246	−	18.2157i	0.231440	−	0.642416i
$805$	−6.49056	−	1.80210i	−0.228762	−	0.0635156i
$806$	4.39300	+	0.966972i	0.154737	+	0.0340601i
$807$	16.9176	+	13.4246i	0.595527	+	0.472568i
$808$	4.47477	−	11.2308i	0.157422	−	0.395099i
$809$	−6.87250	−	12.9629i	−0.241624	−	0.455751i	0.732807	−	0.680436i	$-0.238210\pi$
$809$	−6.87250	−	12.9629i	−0.241624	−	0.455751i	−0.974432	+	0.224685i	$0.927865\pi$
$810$	32.0537	+	8.03760i	1.12625	+	0.282412i
$811$	−55.7192	+	3.02101i	−1.95657	+	0.106082i	−0.989131	−	0.147038i	$-0.953026\pi$
$811$	−55.7192	+	3.02101i	−1.95657	+	0.106082i	−0.967435	+	0.253120i	$0.918543\pi$
$812$	−0.892277	+	0.247739i	−0.0313128	+	0.00869395i
$813$	−2.78693	+	37.1076i	−0.0977419	+	1.30142i
$814$	−6.07632	+	0.996161i	−0.212975	+	0.0349154i
$815$	−1.49985	−	13.7909i	−0.0525374	−	0.483073i
$816$	8.28363	+	5.87156i	0.289985	+	0.205546i
$817$	−5.12003	−	11.0668i	−0.179127	−	0.387177i
$818$	28.3964	−	24.1201i	0.992856	−	0.843339i
$819$	8.76589	−	2.04537i	0.306305	−	0.0714709i
$820$	19.2609	−	28.4077i	0.672620	−	0.992041i
$821$	5.55675	−	33.8947i	0.193932	−	1.18293i	−0.692967	−	0.720969i	$-0.743697\pi$
$821$	5.55675	−	33.8947i	0.193932	−	1.18293i	0.886899	−	0.461963i	$-0.152855\pi$
$822$	−10.4213	−	33.1955i	−0.363486	−	1.15783i
$823$	9.83548	+	44.6830i	0.342843	+	1.55755i	0.760739	+	0.649058i	$0.224837\pi$
$823$	9.83548	+	44.6830i	0.342843	+	1.55755i	−0.417896	+	0.908495i	$0.637232\pi$
$824$	−9.21478	−	9.72793i	−0.321012	−	0.338888i
$825$	−8.57673	−	22.8999i	−0.298603	−	0.797272i
$826$	11.9133	+	6.82708i	0.414515	+	0.237544i
$827$		−	54.3599i		−	1.89028i	−0.326668	−	0.945139i	$-0.605926\pi$
$827$		−	54.3599i		−	1.89028i	0.326668	−	0.945139i	$-0.394074\pi$
$828$	−0.294380	+	3.06470i	−0.0102304	+	0.106506i
$829$	−27.2517	+	5.99856i	−0.946492	+	0.208339i	−0.661291	−	0.750129i	$-0.729991\pi$
$829$	−27.2517	+	5.99856i	−0.946492	+	0.208339i	−0.285201	+	0.958468i	$0.592060\pi$
$830$	34.3475	+	1.86227i	1.19222	+	0.0646403i
$831$	−29.2959	+	5.81252i	−1.01626	+	0.201634i
$832$	−1.38926	−	0.941943i	−0.0481640	−	0.0326560i
$833$	19.7045	+	10.4467i	0.682720	+	0.361955i
$834$	−13.3816	+	24.0196i	−0.463366	+	0.831729i
$835$	1.91741	−	0.887089i	0.0663547	−	0.0306990i
$836$	−1.06388	−	1.56911i	−0.0367951	−	0.0542687i
$837$	−5.26050	+	12.8933i	−0.181829	+	0.445658i
$838$	−2.26780	−	13.8330i	−0.0783399	−	0.477853i
$839$	−41.5762	−	19.2352i	−1.43537	−	0.664073i	−0.460666	−	0.887574i	$-0.652389\pi$
$839$	−41.5762	−	19.2352i	−1.43537	−	0.664073i	−0.974704	+	0.223501i	$0.928251\pi$
$840$	6.69029	+	9.19161i	0.230837	+	0.317141i
$841$	1.55550	+	28.6895i	0.0536379	+	0.989293i
$842$	3.77264	−	34.6889i	0.130014	−	1.19546i
$843$	−2.02754	−	1.79612i	−0.0698321	−	0.0618615i
$844$	−12.3876	−	4.93568i	−0.426399	−	0.169893i
$845$	19.2759	+	32.0368i	0.663111	+	1.10210i
$846$	−27.8283	+	15.2048i	−0.956758	+	0.522751i
$847$	3.93563	−	14.1749i	0.135230	−	0.487054i
$848$	9.37267	+	7.96122i	0.321859	+	0.273389i
$849$	−23.0995	−	25.4247i	−0.792774	−	0.872573i
$850$	−30.0910	+	39.5840i	−1.03211	+	1.35772i
$851$	−1.21223	+	3.59777i	−0.0415546	+	0.123330i
$852$	−11.0647	+	9.00910i	−0.379070	+	0.308647i
$853$	−2.62967	+	1.99902i	−0.0900382	+	0.0684453i	−0.649225	−	0.760596i	$-0.724907\pi$
$853$	−2.62967	+	1.99902i	−0.0900382	+	0.0684453i	0.559187	+	0.829042i	$0.311114\pi$
$854$	1.48526	−	2.46852i	0.0508245	−	0.0844709i
$855$	−0.521714	+	12.5352i	−0.0178423	+	0.428695i
$856$	−11.0223	+	11.6361i	−0.376736	+	0.397715i
$857$	7.68325	+	4.62286i	0.262455	+	0.157914i	0.640699	−	0.767792i	$-0.278645\pi$
$857$	7.68325	+	4.62286i	0.262455	+	0.157914i	−0.378244	+	0.925706i	$0.623472\pi$
$858$	−2.58045	+	4.09354i	−0.0880950	+	0.139751i
$859$	4.19882	+	12.4617i	0.143262	+	0.425187i	0.995130	−	0.0985698i	$-0.0314268\pi$
$859$	4.19882	+	12.4617i	0.143262	+	0.425187i	−0.851868	+	0.523756i	$0.824530\pi$
$860$	−37.2526	−	12.5519i	−1.27030	−	0.428015i
$861$	27.7196	+	8.32095i	0.944680	+	0.283577i
$862$	−8.93752	−	22.4315i	−0.304413	−	0.764020i
$863$	4.29785	−	5.05982i	0.146300	−	0.172238i	−0.684131	−	0.729359i	$-0.739818\pi$
$863$	4.29785	−	5.05982i	0.146300	−	0.172238i	0.830431	+	0.557121i	$0.188094\pi$
$864$	3.60431	−	3.74285i	0.122621	−	0.127334i
$865$	14.8586	−	67.5034i	0.505208	−	2.29518i
$866$	1.28685	−	0.774271i	0.0437289	−	0.0263108i
$867$	−30.0698	−	0.625481i	−1.02123	−	0.0212425i
$868$	−4.23253	+	2.24395i	−0.143661	+	0.0761645i
$869$	−6.36005	−	0.691697i	−0.215750	−	0.0234642i
$870$	−3.01816	+	1.32086i	−0.102325	+	0.0447813i
$871$	−5.01961	−	18.0790i	−0.170083	−	0.612583i
$872$	6.00620	−	12.9822i	0.203396	−	0.439632i
$873$	−0.288238	+	0.348114i	−0.00975536	+	0.0117819i
$874$	−1.16203	+	0.126378i	−0.0393061	+	0.00427480i
$875$	−18.9169	+	12.8259i	−0.639506	+	0.433596i
$876$	12.1971	−	12.3514i	0.412101	−	0.417314i
$877$	−8.57596	−	10.0964i	−0.289589	−	0.340931i	0.598060	−	0.801452i	$-0.295939\pi$
$877$	−8.57596	−	10.0964i	−0.289589	−	0.340931i	−0.887649	+	0.460521i	$0.847663\pi$
$878$	−8.15810	+	15.3878i	−0.275323	+	0.519313i
$879$	−9.44293	+	39.0162i	−0.318502	+	1.31598i
$880$	−6.03109	−	0.988747i	−0.203308	−	0.0333306i
$881$	−2.34140	+	43.1845i	−0.0788837	+	1.45492i	0.644567	+	0.764548i	$0.277038\pi$
$881$	−2.34140	+	43.1845i	−0.0788837	+	1.45492i	−0.723450	+	0.690376i	$0.757445\pi$
$882$	6.79240	−	9.17230i	0.228712	−	0.308847i
$883$	9.85757	−	9.33759i	0.331734	−	0.314235i	−0.503644	−	0.863911i	$-0.668008\pi$
$883$	9.85757	−	9.33759i	0.331734	−	0.314235i	0.835378	+	0.549677i	$0.185249\pi$
$884$	9.83949			0.330938
$885$	45.3891	+	18.0596i	1.52574	+	0.607067i
$886$	−9.09215			−0.305457
$887$	−3.44641	+	3.26462i	−0.115719	+	0.109615i	−0.743372	−	0.668879i	$-0.766775\pi$
$887$	−3.44641	+	3.26462i	−0.115719	+	0.109615i	0.627652	+	0.778494i	$0.284016\pi$
$888$	5.37698	−	3.48469i	0.180440	−	0.116939i
$889$	0.781403	−	14.4121i	0.0262074	−	0.483367i
$890$	−41.3386	−	6.77711i	−1.38567	−	0.227169i
$891$	−11.1311	−	10.0253i	−0.372907	−	0.335860i
$892$	12.5857	−	23.7391i	0.421400	−	0.794845i
$893$	−7.79406	−	9.17588i	−0.260818	−	0.307059i
$894$	−6.38516	−	6.30540i	−0.213552	−	0.210884i
$895$	24.7144	−	16.7568i	0.826111	−	0.560117i
$896$	1.77712	−	0.193273i	0.0593693	−	0.00645680i
$897$	1.48470	+	2.58794i	0.0495727	+	0.0864089i
$898$	−12.3985	+	26.7990i	−0.413744	+	0.894293i
$899$	−0.371402	−	1.33767i	−0.0123869	−	0.0446137i
$900$	17.7301	+	18.2524i	0.591004	+	0.608412i
$901$	−71.6669	−	7.79424i	−2.38757	−	0.259664i
$902$	−13.7461	+	7.28774i	−0.457696	+	0.242655i
$903$	0.689364	−	33.1410i	0.0229406	−	1.10286i
$904$	−11.5901	+	6.97355i	−0.385482	+	0.231937i
$905$	−1.05070	+	4.77340i	−0.0349266	+	0.158673i
$906$	−1.07744	−	12.2776i	−0.0357957	−	0.407895i
$907$	−4.74701	+	5.58861i	−0.157622	+	0.185567i	−0.835304	−	0.549788i	$-0.814709\pi$
$907$	−4.74701	+	5.58861i	−0.157622	+	0.185567i	0.677682	+	0.735355i	$0.262984\pi$
$908$	4.68784	+	11.7656i	0.155571	+	0.390455i
$909$	36.1877	−	2.41857i	1.20027	−	0.0802190i
$910$	10.4403	+	3.51775i	0.346093	+	0.116612i
$911$	−2.09405	−	6.21491i	−0.0693788	−	0.205909i	0.907355	−	0.420366i	$-0.138098\pi$
$911$	−2.09405	−	6.21491i	−0.0693788	−	0.205909i	−0.976733	+	0.214457i	$0.931202\pi$
$912$	1.66884	+	1.05199i	0.0552607	+	0.0348347i
$913$	−13.3610	−	8.03907i	−0.442186	−	0.266054i
$914$	−2.38507	+	2.51788i	−0.0788909	+	0.0832842i
$915$	3.99087	−	9.44046i	0.131934	−	0.312092i
$916$	−6.08355	+	10.1109i	−0.201006	+	0.334075i
$917$	−28.8595	+	21.9384i	−0.953025	+	0.724471i
$918$	−5.17514	+	30.0177i	−0.170805	+	0.990731i
$919$	−6.56050	+	19.4709i	−0.216411	+	0.642284i	0.783374	+	0.621550i	$0.213497\pi$
$919$	−6.56050	+	19.4709i	−0.216411	+	0.642284i	−0.999785	+	0.0207341i	$0.993400\pi$
$920$	−2.28044	+	2.99987i	−0.0751839	+	0.0989028i
$921$	−21.0384	+	19.1144i	−0.693239	+	0.629841i
$922$	18.2996	+	15.5438i	0.602664	+	0.511908i
$923$	−3.69918	+	13.3232i	−0.121760	+	0.438540i
$924$	−0.727809	−	5.10191i	−0.0239431	−	0.167840i
$925$	16.1770	+	26.8863i	0.531896	+	0.884017i
$926$	7.79332	+	3.10514i	0.256104	+	0.102041i
$927$	14.4084	−	37.5274i	0.473233	−	1.23256i
$928$	−0.0560090	+	0.514994i	−0.00183859	+	0.0169055i
$929$	−2.37490	−	43.8025i	−0.0779181	−	1.43711i	−0.732316	−	0.680964i	$-0.761561\pi$
$929$	−2.37490	−	43.8025i	−0.0779181	−	1.43711i	0.654398	−	0.756150i	$-0.272922\pi$
$930$	−13.7797	+	10.0298i	−0.451855	+	0.328891i
$931$	3.93268	+	1.81945i	0.128888	+	0.0596301i
$932$	0.0532596	+	0.324869i	0.00174458	+	0.0106414i
$933$	17.3675	−	8.74993i	0.568588	−	0.286460i
$934$	−5.08045	−	7.49311i	−0.166238	−	0.245182i
$935$	32.5157	−	15.0434i	1.06338	−	0.491971i
$936$	0.752123	−	4.97896i	0.0245839	−	0.162742i
$937$	17.6006	+	9.33123i	0.574986	+	0.304838i	0.730409	−	0.683010i	$-0.239329\pi$
$937$	17.6006	+	9.33123i	0.574986	+	0.304838i	−0.155424	+	0.987848i	$0.549674\pi$
$938$	16.5394	+	11.2140i	0.540031	+	0.366150i
$939$	3.92015	+	19.7581i	0.127929	+	0.644781i
$940$	−38.7554	−	2.10126i	−1.26406	−	0.0685355i
$941$	48.8868	−	10.7608i	1.59367	−	0.350792i	0.672541	−	0.740060i	$-0.265203\pi$
$941$	48.8868	−	10.7608i	1.59367	−	0.350792i	0.921125	+	0.389268i	$0.127272\pi$
$942$	−3.30717	+	6.77493i	−0.107753	+	0.220739i
$943$			9.59295i			0.312389i
$944$	6.01464	−	4.77746i	0.195760	−	0.155493i
$945$	−16.2229	+	30.0005i	−0.527731	+	0.975916i
$946$	12.2548	+	12.9372i	0.398437	+	0.420625i
$947$	9.20553	+	41.8212i	0.299140	+	1.35900i	0.851043	+	0.525097i	$0.175971\pi$
$947$	9.20553	+	41.8212i	0.299140	+	1.35900i	−0.551903	+	0.833908i	$0.686098\pi$
$948$	6.35165	−	1.99402i	0.206292	−	0.0647629i
$949$	2.72147	−	16.6003i	0.0883428	−	0.538867i
$950$	−5.42146	+	7.99606i	−0.175896	+	0.259426i
$951$	6.90364	−	53.1658i	0.223866	−	1.72402i
$952$	−7.98679	+	6.78404i	−0.258853	+	0.219872i
$953$	4.08923	+	8.83872i	0.132463	+	0.286314i	0.962445	−	0.271475i	$-0.0875116\pi$
$953$	4.08923	+	8.83872i	0.132463	+	0.286314i	−0.829982	+	0.557790i	$0.811650\pi$
$954$	−9.42219	+	35.6690i	−0.305055	+	1.15483i
$955$	0.804667	+	7.39879i	0.0260384	+	0.239419i
$956$	−20.5053	+	3.36168i	−0.663190	+	0.108724i
$957$	1.48926	+	0.111850i	0.0481411	+	0.00361559i
$958$	−4.18102	+	1.16085i	−0.135083	+	0.0375055i
$959$	35.8560	−	1.94406i	1.15785	−	0.0627769i
$960$	6.16197	−	1.57360i	0.198877	−	0.0507877i
$961$	11.1566	+	21.0436i	0.359891	+	0.678827i
$962$	2.29828	−	5.76826i	0.0740996	−	0.185976i
$963$	−45.7559	−	14.7792i	−1.47446	−	0.476253i
$964$	12.1090	+	2.66540i	0.390006	+	0.0858468i
$965$	−21.0576	−	5.84660i	−0.677867	−	0.188209i
$966$	−2.98945	−	1.07700i	−0.0961841	−	0.0346518i
$967$	12.3714	−	4.92922i	0.397838	−	0.158513i	−0.162634	−	0.986686i	$-0.551999\pi$
$967$	12.3714	−	4.92922i	0.397838	−	0.158513i	0.560472	+	0.828173i	$0.310620\pi$
$968$	−6.55147	−	4.98030i	−0.210572	−	0.160073i
$969$	−11.5580	+	0.385804i	−0.371297	+	0.0123938i
$970$	−0.524207	+	0.176626i	−0.0168313	+	0.00567111i
$971$	13.1765	+	17.3333i	0.422853	+	0.556253i	0.957355	−	0.288914i	$-0.0932940\pi$
$971$	13.1765	+	17.3333i	0.422853	+	0.556253i	−0.534502	+	0.845167i	$0.679501\pi$
$972$	14.7939	+	4.91324i	0.474515	+	0.157592i
$973$	−20.6018	−	19.5151i	−0.660464	−	0.625625i
$974$	−26.6093	−	25.2057i	−0.852619	−	0.807643i
$975$	24.2461	+	4.49461i	0.776496	+	0.143943i
$976$	−0.975301	−	1.28299i	−0.0312186	−	0.0410674i
$977$	45.8910	−	15.4625i	1.46818	−	0.494689i	0.532166	−	0.846640i	$-0.321378\pi$
$977$	45.8910	−	15.4625i	1.46818	−	0.494689i	0.936018	+	0.351951i	$0.114482\pi$
$978$	−0.218308	−	6.54013i	−0.00698073	−	0.209130i
$979$	15.1174	+	11.4920i	0.483154	+	0.367284i
$980$	12.9772	−	5.17058i	0.414541	−	0.165168i
$981$	42.9094	−	0.539377i	1.36999	−	0.0172210i
$982$	−17.2524	−	4.79011i	−0.550547	−	0.152859i
$983$	34.8059	+	7.66135i	1.11014	+	0.244359i	0.731942	−	0.681367i	$-0.238614\pi$
$983$	34.8059	+	7.66135i	1.11014	+	0.244359i	0.378193	+	0.925727i	$0.376545\pi$
$984$	10.0638	−	12.6823i	0.320823	−	0.404299i
$985$	31.0390	−	77.9021i	0.988986	−	2.48217i
$986$	−1.42245	−	2.68302i	−0.0452999	−	0.0854447i
$987$	−8.09800	−	31.7105i	−0.257762	−	1.00936i
$988$	1.90892	−	0.103499i	0.0607309	−	0.00329273i
$989$	10.5868	−	2.93941i	0.336640	−	0.0934678i
$990$	−5.12674	−	17.6034i	−0.162939	−	0.559474i
$991$	22.5306	−	3.69370i	0.715708	−	0.117334i	0.207084	−	0.978323i	$-0.433603\pi$
$991$	22.5306	−	3.69370i	0.715708	−	0.117334i	0.508624	+	0.860989i	$0.330154\pi$
$992$	0.289748	+	2.66419i	0.00919950	+	0.0845880i
$993$	4.16099	−	5.87035i	0.132045	−	0.186290i
$994$	−6.18334	−	13.3651i	−0.196124	−	0.423914i
$995$	27.2547	−	23.1504i	0.864034	−	0.733917i
$996$	16.0911	+	2.08944i	0.509865	+	0.0662066i
$997$	19.3881	−	28.5953i	0.614026	−	0.905621i	−0.385830	−	0.922570i	$-0.626085\pi$
$997$	19.3881	−	28.5953i	0.614026	−	0.905621i	0.999856	+	0.0169489i	$0.00539527\pi$
$998$	−4.32940	+	26.4082i	−0.137045	+	0.835936i
$999$	16.3886	+	10.0453i	0.518513	+	0.317819i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.g.a.23.3	✓	280
3.2	odd	2		354.2.g.b.23.4	yes	280
59.18	odd	58		354.2.g.b.77.4	yes	280
177.77	even	58	inner	354.2.g.a.77.3	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.g.a.23.3	✓	280	1.1	even	1	trivial
354.2.g.a.77.3	yes	280	177.77	even	58	inner
354.2.g.b.23.4	yes	280	3.2	odd	2
354.2.g.b.77.4	yes	280	59.18	odd	58

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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.g (of order \(58\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.725995 + 0.687699i) q^{2} +(-0.941981 - 1.45350i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(3.62342 + 0.594030i) q^{5} +(1.68345 + 0.407438i) q^{6} +(-0.837325 + 1.57936i) q^{7} +(0.647386 + 0.762162i) q^{8} +(-1.22535 + 2.73834i) q^{9} +O(q^{10})\)	\(q+(-0.725995 + 0.687699i) q^{2} +(-0.941981 - 1.45350i) q^{3} +(0.0541389 - 0.998533i) q^{4} +(3.62342 + 0.594030i) q^{5} +(1.68345 + 0.407438i) q^{6} +(-0.837325 + 1.57936i) q^{7} +(0.647386 + 0.762162i) q^{8} +(-1.22535 + 2.73834i) q^{9} +(-3.03910 + 2.06056i) q^{10} +(1.65472 - 0.179961i) q^{11} +(-1.50237 + 0.861908i) q^{12} +(-0.704777 + 1.52335i) q^{13} +(-0.478233 - 1.72244i) q^{14} +(-2.54977 - 5.82622i) q^{15} +(-0.994138 - 0.108119i) q^{16} +(5.17926 - 2.74587i) q^{17} +(-0.993563 - 2.83069i) q^{18} +(0.975926 - 0.587195i) q^{19} +(0.789326 - 3.58595i) q^{20} +(3.08435 - 0.270674i) q^{21} +(-1.07756 + 1.26860i) q^{22} +(0.379861 + 0.953379i) q^{23} +(0.497980 - 1.65892i) q^{24} +(8.03804 + 2.70833i) q^{25} +(-0.535942 - 1.59062i) q^{26} +(5.13444 - 0.798423i) q^{27} +(1.53172 + 0.921602i) q^{28} +(-0.356250 + 0.376088i) q^{29} +(5.85781 + 2.47633i) q^{30} +(-1.38163 + 2.29629i) q^{31} +(0.796093 - 0.605174i) q^{32} +(-1.82028 - 2.23562i) q^{33} +(-1.87179 + 5.55527i) q^{34} +(-3.97217 + 5.22530i) q^{35} +(2.66799 + 1.37180i) q^{36} +(2.81949 + 2.39489i) q^{37} +(-0.304704 + 1.09744i) q^{38} +(2.87808 - 0.410570i) q^{39} +(1.89301 + 3.14620i) q^{40} +(8.68353 + 3.45983i) q^{41} +(-2.05309 + 2.31762i) q^{42} +(1.15753 - 10.6433i) q^{43} +(-0.0901128 - 1.66203i) q^{44} +(-6.06660 + 9.19428i) q^{45} +(-0.931416 - 0.430919i) q^{46} +(-1.71010 - 10.4312i) q^{47} +(0.779307 + 1.54683i) q^{48} +(2.13503 + 3.14894i) q^{49} +(-7.69809 + 3.56152i) q^{50} +(-8.86990 - 4.94152i) q^{51} +(1.48296 + 0.786216i) q^{52} +(-10.1785 - 6.90119i) q^{53} +(-3.17851 + 4.11061i) q^{54} +(6.10263 + 0.330875i) q^{55} +(-1.74580 + 0.384280i) q^{56} +(-1.77279 - 0.865385i) q^{57} -0.518031i q^{58} +(-5.46284 + 5.39975i) q^{59} +(-5.95572 + 2.23060i) q^{60} +(1.10830 + 1.17002i) q^{61} +(-0.576099 - 2.61724i) q^{62} +(-3.29883 - 4.22815i) q^{63} +(-0.161782 + 0.986827i) q^{64} +(-3.45862 + 5.10108i) q^{65} +(2.85895 + 0.371238i) q^{66} +(-8.51982 + 7.23680i) q^{67} +(-2.46145 - 5.32033i) q^{68} +(1.02792 - 1.45019i) q^{69} +(-0.709659 - 6.52520i) q^{70} +(8.12942 - 1.33275i) q^{71} +(-2.88033 + 0.838855i) q^{72} +(-9.65675 + 2.68118i) q^{73} +(-3.69390 + 0.200277i) q^{74} +(-3.63511 - 14.2345i) q^{75} +(-0.533498 - 1.00628i) q^{76} +(-1.10131 + 2.76408i) q^{77} +(-1.80712 + 2.27733i) q^{78} +(-3.75373 - 0.826259i) q^{79} +(-3.53795 - 0.982308i) q^{80} +(-5.99706 - 6.71083i) q^{81} +(-8.68353 + 3.45983i) q^{82} +(-7.45793 - 5.66937i) q^{83} +(-0.103293 - 3.09449i) q^{84} +(20.3978 - 6.87281i) q^{85} +(6.47903 + 8.52301i) q^{86} +(0.882226 + 0.163542i) q^{87} +(1.20840 + 1.14466i) q^{88} +(8.28267 + 7.84576i) q^{89} +(-1.91858 - 10.8470i) q^{90} +(-1.81580 - 2.38864i) q^{91} +(0.972546 - 0.327689i) q^{92} +(4.63913 - 0.154854i) q^{93} +(8.41503 + 6.39694i) q^{94} +(3.88500 - 1.54793i) q^{95} +(-1.62953 - 0.587062i) q^{96} +(0.145161 + 0.0403037i) q^{97} +(-3.71555 - 0.817855i) q^{98} +(-1.53480 + 4.75170i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q - 10 q^{2} + q^{3} - 10 q^{4} + q^{6} + 2 q^{7} - 10 q^{8} - 3 q^{9}+O(q^{10}) \) 280 * q - 10 * q^2 + q^3 - 10 * q^4 + q^6 + 2 * q^7 - 10 * q^8 - 3 * q^9	\( 280 q - 10 q^{2} + q^{3} - 10 q^{4} + q^{6} + 2 q^{7} - 10 q^{8} - 3 q^{9} + 4 q^{11} + q^{12} - 27 q^{14} + 7 q^{15} - 10 q^{16} - 3 q^{18} + 6 q^{19} + 3 q^{21} + 4 q^{22} - 8 q^{23} + q^{24} - 4 q^{25} - 77 q^{27} + 2 q^{28} + 7 q^{30} - 10 q^{32} - 3 q^{36} + 6 q^{38} - 4 q^{39} + 3 q^{42} + 4 q^{44} - 18 q^{45} - 8 q^{46} + 232 q^{47} + q^{48} - 8 q^{49} - 4 q^{50} - 118 q^{51} - 58 q^{53} - 77 q^{54} + 2 q^{56} - 316 q^{57} + 20 q^{59} - 80 q^{60} + 77 q^{63} - 10 q^{64} + 16 q^{65} - 116 q^{66} - 102 q^{69} - 3 q^{72} - 25 q^{75} + 6 q^{76} + 106 q^{77} - 4 q^{78} - 6 q^{79} - 7 q^{81} - 104 q^{83} + 3 q^{84} + 4 q^{85} + 15 q^{87} + 4 q^{88} - 16 q^{89} + 11 q^{90} - 8 q^{92} + 122 q^{93} + q^{96} - 8 q^{98} + 2 q^{99}+O(q^{100}) \) 280 * q - 10 * q^2 + q^3 - 10 * q^4 + q^6 + 2 * q^7 - 10 * q^8 - 3 * q^9 + 4 * q^11 + q^12 - 27 * q^14 + 7 * q^15 - 10 * q^16 - 3 * q^18 + 6 * q^19 + 3 * q^21 + 4 * q^22 - 8 * q^23 + q^24 - 4 * q^25 - 77 * q^27 + 2 * q^28 + 7 * q^30 - 10 * q^32 - 3 * q^36 + 6 * q^38 - 4 * q^39 + 3 * q^42 + 4 * q^44 - 18 * q^45 - 8 * q^46 + 232 * q^47 + q^48 - 8 * q^49 - 4 * q^50 - 118 * q^51 - 58 * q^53 - 77 * q^54 + 2 * q^56 - 316 * q^57 + 20 * q^59 - 80 * q^60 + 77 * q^63 - 10 * q^64 + 16 * q^65 - 116 * q^66 - 102 * q^69 - 3 * q^72 - 25 * q^75 + 6 * q^76 + 106 * q^77 - 4 * q^78 - 6 * q^79 - 7 * q^81 - 104 * q^83 + 3 * q^84 + 4 * q^85 + 15 * q^87 + 4 * q^88 - 16 * q^89 + 11 * q^90 - 8 * q^92 + 122 * q^93 + q^96 - 8 * q^98 + 2 * q^99

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