LMFDB - Embedded newform 232.2.v.a.11.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(3,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([14, 14, 5]))

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

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

chi := DirichletCharacter("232.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.v (of order $28$, degree $12$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$336$
Relative dimension:	$28$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			11.5
Character	$\chi$	$=$	232.11
Dual form			232.2.v.a.211.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.19246 - 0.760290i) q^{2} +(-0.0602852 - 0.535046i) q^{3} +(0.843918 + 1.81323i) q^{4} +(0.575902 + 0.277340i) q^{5} +(-0.334903 + 0.683855i) q^{6} +(-1.62553 - 1.29632i) q^{7} +(0.372244 - 2.80383i) q^{8} +(2.64214 - 0.603052i) q^{9} +O(q^{10})$	\(q+(-1.19246 - 0.760290i) q^{2} +(-0.0602852 - 0.535046i) q^{3} +(0.843918 + 1.81323i) q^{4} +(0.575902 + 0.277340i) q^{5} +(-0.334903 + 0.683855i) q^{6} +(-1.62553 - 1.29632i) q^{7} +(0.372244 - 2.80383i) q^{8} +(2.64214 - 0.603052i) q^{9} +(-0.475881 - 0.768570i) q^{10} +(1.85706 + 2.95549i) q^{11} +(0.919286 - 0.560846i) q^{12} +(1.00209 - 4.39043i) q^{13} +(0.952801 + 2.78168i) q^{14} +(0.113671 - 0.324854i) q^{15} +(-2.57561 + 3.06043i) q^{16} +(3.80725 - 3.80725i) q^{17} +(-3.60914 - 1.28968i) q^{18} +(1.27596 + 0.143767i) q^{19} +(-0.0168669 + 1.27830i) q^{20} +(-0.595594 + 0.947883i) q^{21} +(0.0325648 - 4.93620i) q^{22} +(-0.842853 - 1.75020i) q^{23} +(-1.52262 - 0.0301383i) q^{24} +(-2.86270 - 3.58972i) q^{25} +(-4.53295 + 4.47353i) q^{26} +(-1.01544 - 2.90196i) q^{27} +(0.978707 - 4.04144i) q^{28} +(0.417045 + 5.36899i) q^{29} +(-0.382532 + 0.300952i) q^{30} +(-2.54175 - 7.26389i) q^{31} +(5.39812 - 1.69123i) q^{32} +(1.46937 - 1.17178i) q^{33} +(-7.43461 + 1.64538i) q^{34} +(-0.576626 - 1.19738i) q^{35} +(3.32322 + 4.28189i) q^{36} +(3.96553 + 2.49171i) q^{37} +(-1.41223 - 1.14154i) q^{38} +(-2.40949 - 0.271485i) q^{39} +(0.991989 - 1.51149i) q^{40} +(4.47634 + 4.47634i) q^{41} +(1.43089 - 0.677487i) q^{42} +(-2.89472 + 8.27264i) q^{43} +(-3.79178 + 5.86146i) q^{44} +(1.68887 + 0.385473i) q^{45} +(-0.325594 + 2.72786i) q^{46} +(4.79771 + 7.63550i) q^{47} +(1.79275 + 1.19357i) q^{48} +(-0.595736 - 2.61009i) q^{49} +(0.684431 + 6.45707i) q^{50} +(-2.26658 - 1.80753i) q^{51} +(8.80653 - 1.88815i) q^{52} +(-4.78921 + 9.94489i) q^{53} +(-0.995463 + 4.23250i) q^{54} +(0.249808 + 2.21711i) q^{55} +(-4.23974 + 4.07516i) q^{56} -0.691367i q^{57} +(3.58468 - 6.71938i) q^{58} -1.20137 q^{59} +(0.684964 - 0.0680378i) q^{60} +(3.29070 - 0.370772i) q^{61} +(-2.49174 + 10.5944i) q^{62} +(-5.07663 - 2.44478i) q^{63} +(-7.72287 - 2.08741i) q^{64} +(1.79475 - 2.25054i) q^{65} +(-2.64306 + 0.280156i) q^{66} +(-9.30253 + 2.12324i) q^{67} +(10.1164 + 3.69041i) q^{68} +(-0.885628 + 0.556477i) q^{69} +(-0.222751 + 1.86623i) q^{70} +(-0.227844 + 0.998250i) q^{71} +(-0.707331 - 7.63259i) q^{72} +(1.61584 + 0.565408i) q^{73} +(-2.83431 - 5.98621i) q^{74} +(-1.74809 + 1.74809i) q^{75} +(0.816126 + 2.43494i) q^{76} +(0.812548 - 7.21157i) q^{77} +(2.66682 + 2.15565i) q^{78} +(-0.614759 + 0.978384i) q^{79} +(-2.33208 + 1.04819i) q^{80} +(5.83365 - 2.80934i) q^{81} +(-1.93454 - 8.74118i) q^{82} +(1.01951 + 1.27843i) q^{83} +(-2.22136 - 0.280014i) q^{84} +(3.24851 - 1.13670i) q^{85} +(9.74145 - 7.66396i) q^{86} +(2.84752 - 0.546809i) q^{87} +(8.97795 - 4.10670i) q^{88} +(-12.4275 + 4.34859i) q^{89} +(-1.72083 - 1.74369i) q^{90} +(-7.32031 + 5.83775i) q^{91} +(2.46222 - 3.00531i) q^{92} +(-3.73329 + 1.79786i) q^{93} +(0.0841313 - 12.7527i) q^{94} +(0.694958 + 0.436671i) q^{95} +(-1.23032 - 2.78629i) q^{96} +(-1.00616 + 8.92996i) q^{97} +(-1.27404 + 3.56536i) q^{98} +(6.68892 + 6.68892i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	$ 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) $ 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{25}{28}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	−1.19246	−	0.760290i	−0.843196	−	0.537606i
$2$	−1.19246	−	0.760290i	−0.843196	−	0.537606i
$3$	−0.0602852	−	0.535046i	−0.0348057	−	0.308909i	−0.999038	−	0.0438509i	$-0.986037\pi$
$3$	−0.0602852	−	0.535046i	−0.0348057	−	0.308909i	0.964232	−	0.265058i	$-0.0853912\pi$
$4$	0.843918	+	1.81323i	0.421959	+	0.906615i
$5$	0.575902	+	0.277340i	0.257551	+	0.124030i	0.558205	−	0.829703i	$-0.311490\pi$
$5$	0.575902	+	0.277340i	0.257551	+	0.124030i	−0.300653	+	0.953734i	$0.597205\pi$
$6$	−0.334903	+	0.683855i	−0.136724	+	0.279183i
$7$	−1.62553	−	1.29632i	−0.614393	−	0.489962i	0.266148	−	0.963932i	$-0.414249\pi$
$7$	−1.62553	−	1.29632i	−0.614393	−	0.489962i	−0.880541	+	0.473970i	$0.842820\pi$
$8$	0.372244	−	2.80383i	0.131608	−	0.991302i
$9$	2.64214	−	0.603052i	0.880714	−	0.201017i
$10$	−0.475881	−	0.768570i	−0.150487	−	0.243043i
$11$	1.85706	+	2.95549i	0.559923	+	0.891113i	0.999976	−	0.00685883i	$-0.00218325\pi$
$11$	1.85706	+	2.95549i	0.559923	+	0.891113i	−0.440053	+	0.897972i	$0.645040\pi$
$12$	0.919286	−	0.560846i	0.265375	−	0.161902i
$13$	1.00209	−	4.39043i	0.277929	−	1.21769i	−0.622478	−	0.782637i	$-0.713874\pi$
$13$	1.00209	−	4.39043i	0.277929	−	1.21769i	0.900407	−	0.435048i	$-0.143269\pi$
$14$	0.952801	+	2.78168i	0.254647	+	0.743435i
$15$	0.113671	−	0.324854i	0.0293498	−	0.0838770i
$16$	−2.57561	+	3.06043i	−0.643901	+	0.765108i
$17$	3.80725	−	3.80725i	0.923394	−	0.923394i	−0.0738737	−	0.997268i	$-0.523536\pi$
$17$	3.80725	−	3.80725i	0.923394	−	0.923394i	0.997268	+	0.0738737i	$0.0235362\pi$
$18$	−3.60914	−	1.28968i	−0.850683	−	0.303981i
$19$	1.27596	+	0.143767i	0.292726	+	0.0329823i	0.257106	−	0.966383i	$-0.417231\pi$
$19$	1.27596	+	0.143767i	0.292726	+	0.0329823i	0.0356197	+	0.999365i	$0.488659\pi$
$20$	−0.0168669	+	1.27830i	−0.00377156	+	0.285836i
$21$	−0.595594	+	0.947883i	−0.129969	+	0.206845i
$22$	0.0325648	−	4.93620i	0.00694285	−	1.05240i
$23$	−0.842853	−	1.75020i	−0.175747	−	0.364942i	0.794424	−	0.607363i	$-0.207773\pi$
$23$	−0.842853	−	1.75020i	−0.175747	−	0.364942i	−0.970171	+	0.242421i	$0.922058\pi$
$24$	−1.52262	−	0.0301383i	−0.310803	−	0.00615195i
$25$	−2.86270	−	3.58972i	−0.572541	−	0.717943i
$26$	−4.53295	+	4.47353i	−0.888984	+	0.877331i
$27$	−1.01544	−	2.90196i	−0.195422	−	0.558483i
$28$	0.978707	−	4.04144i	0.184958	−	0.763761i
$29$	0.417045	+	5.36899i	0.0774432	+	0.996997i
$29$	0.417045	+	5.36899i	0.0774432	+	0.996997i
$30$	−0.382532	+	0.300952i	−0.0698404	+	0.0549461i
$31$	−2.54175	−	7.26389i	−0.456511	−	1.30463i	−0.910457	−	0.413604i	$-0.864270\pi$
$31$	−2.54175	−	7.26389i	−0.456511	−	1.30463i	0.453946	−	0.891029i	$-0.350016\pi$
$32$	5.39812	−	1.69123i	0.954262	−	0.298971i
$33$	1.46937	−	1.17178i	0.255784	−	0.203981i
$34$	−7.43461	+	1.64538i	−1.27502	+	0.282180i
$35$	−0.576626	−	1.19738i	−0.0974676	−	0.202394i
$36$	3.32322	+	4.28189i	0.553871	+	0.713648i
$37$	3.96553	+	2.49171i	0.651929	+	0.409634i	0.816992	−	0.576649i	$-0.195640\pi$
$37$	3.96553	+	2.49171i	0.651929	+	0.409634i	−0.165063	+	0.986283i	$0.552783\pi$
$38$	−1.41223	−	1.14154i	−0.229094	−	0.185182i
$39$	−2.40949	−	0.271485i	−0.385828	−	0.0434723i
$40$	0.991989	−	1.51149i	0.156847	−	0.238988i
$41$	4.47634	+	4.47634i	0.699087	+	0.699087i	0.964214	−	0.265126i	$-0.0854137\pi$
$41$	4.47634	+	4.47634i	0.699087	+	0.699087i	−0.265126	+	0.964214i	$0.585414\pi$
$42$	1.43089	−	0.677487i	0.220791	−	0.104539i
$43$	−2.89472	+	8.27264i	−0.441441	+	1.26157i	0.481439	+	0.876480i	$0.340114\pi$
$43$	−2.89472	+	8.27264i	−0.441441	+	1.26157i	−0.922880	+	0.385087i	$0.874171\pi$
$44$	−3.79178	+	5.86146i	−0.571632	+	0.883648i
$45$	1.68887	+	0.385473i	0.251761	+	0.0574629i
$46$	−0.325594	+	2.72786i	−0.0480062	+	0.402201i
$47$	4.79771	+	7.63550i	0.699817	+	1.11375i	0.987741	+	0.156100i	$0.0498921\pi$
$47$	4.79771	+	7.63550i	0.699817	+	1.11375i	−0.287924	+	0.957653i	$0.592965\pi$
$48$	1.79275	+	1.19357i	0.258760	+	0.172277i
$49$	−0.595736	−	2.61009i	−0.0851052	−	0.372870i
$50$	0.684431	+	6.45707i	0.0967931	+	0.913168i
$51$	−2.26658	−	1.80753i	−0.317384	−	0.253105i
$52$	8.80653	−	1.88815i	1.22125	−	0.261839i
$53$	−4.78921	+	9.94489i	−0.657848	+	1.36604i	0.258639	+	0.965974i	$0.416726\pi$
$53$	−4.78921	+	9.94489i	−0.657848	+	1.36604i	−0.916488	+	0.400062i	$0.868988\pi$
$54$	−0.995463	+	4.23250i	−0.135465	+	0.575971i
$55$	0.249808	+	2.21711i	0.0336841	+	0.298955i
$56$	−4.23974	+	4.07516i	−0.566559	+	0.544566i
$57$		−	0.691367i		−	0.0915738i
$58$	3.58468	−	6.71938i	0.470692	−	0.882298i
$59$	−1.20137			−0.156405			−0.0782024	−	0.996938i	$-0.524918\pi$
$59$	−1.20137			−0.156405			−0.0782024	+	0.996938i	$0.524918\pi$
$60$	0.684964	−	0.0680378i	0.0884285	−	0.00878364i
$61$	3.29070	−	0.370772i	0.421330	−	0.0474725i	0.101246	−	0.994861i	$-0.467717\pi$
$61$	3.29070	−	0.370772i	0.421330	−	0.0474725i	0.320085	+	0.947389i	$0.396289\pi$
$62$	−2.49174	+	10.5944i	−0.316451	+	1.34549i
$63$	−5.07663	−	2.44478i	−0.639595	−	0.308013i
$64$	−7.72287	−	2.08741i	−0.965359	−	0.260926i
$65$	1.79475	−	2.25054i	0.222611	−	0.279145i
$66$	−2.64306	+	0.280156i	−0.325338	+	0.0344849i
$67$	−9.30253	+	2.12324i	−1.13649	+	0.259395i	−0.749058	−	0.662505i	$-0.769493\pi$
$67$	−9.30253	+	2.12324i	−1.13649	+	0.259395i	−0.387428	+	0.921900i	$0.626636\pi$
$68$	10.1164	+	3.69041i	1.22680	+	0.447529i
$69$	−0.885628	+	0.556477i	−0.106617	+	0.0669919i
$70$	−0.222751	+	1.86623i	−0.0266238	+	0.223057i
$71$	−0.227844	+	0.998250i	−0.0270401	+	0.118470i	−0.986647	−	0.162875i	$-0.947923\pi$
$71$	−0.227844	+	0.998250i	−0.0270401	+	0.118470i	0.959607	+	0.281345i	$0.0907805\pi$
$72$	−0.707331	−	7.63259i	−0.0833598	−	0.899509i
$73$	1.61584	+	0.565408i	0.189120	+	0.0661760i	0.423178	−	0.906047i	$-0.360915\pi$
$73$	1.61584	+	0.565408i	0.189120	+	0.0661760i	−0.234057	+	0.972223i	$0.575200\pi$
$74$	−2.83431	−	5.98621i	−0.329482	−	0.695883i
$75$	−1.74809	+	1.74809i	−0.201852	+	0.201852i
$76$	0.816126	+	2.43494i	0.0936161	+	0.279307i
$77$	0.812548	−	7.21157i	0.0925985	−	0.821834i
$78$	2.66682	+	2.15565i	0.301957	+	0.244079i
$79$	−0.614759	+	0.978384i	−0.0691658	+	0.110077i	−0.879516	−	0.475869i	$-0.842134\pi$
$79$	−0.614759	+	0.978384i	−0.0691658	+	0.110077i	0.810351	+	0.585945i	$0.199277\pi$
$80$	−2.33208	+	1.04819i	−0.260734	+	0.117192i
$81$	5.83365	−	2.80934i	0.648184	−	0.312149i
$82$	−1.93454	−	8.74118i	−0.213634	−	0.965301i
$83$	1.01951	+	1.27843i	0.111906	+	0.140326i	0.834630	−	0.550811i	$-0.185682\pi$
$83$	1.01951	+	1.27843i	0.111906	+	0.140326i	−0.722724	+	0.691137i	$0.757110\pi$
$84$	−2.22136	−	0.280014i	−0.242370	−	0.0305521i
$85$	3.24851	−	1.13670i	0.352350	−	0.123293i
$86$	9.74145	−	7.66396i	1.05045	−	0.826426i
$87$	2.84752	−	0.546809i	0.305286	−	0.0586241i
$88$	8.97795	−	4.10670i	0.957052	−	0.437775i
$89$	−12.4275	+	4.34859i	−1.31732	+	0.460949i	−0.895229	−	0.445606i	$-0.852988\pi$
$89$	−12.4275	+	4.34859i	−1.31732	+	0.460949i	−0.422088	+	0.906555i	$0.638703\pi$
$90$	−1.72083	−	1.74369i	−0.181392	−	0.183801i
$91$	−7.32031	+	5.83775i	−0.767377	+	0.611962i
$92$	2.46222	−	3.00531i	0.256704	−	0.313325i
$93$	−3.73329	+	1.79786i	−0.387124	+	0.186429i
$94$	0.0841313	−	12.7527i	0.00867748	−	1.31534i
$95$	0.694958	+	0.436671i	0.0713012	+	0.0448015i
$96$	−1.23032	−	2.78629i	−0.125569	−	0.284374i
$97$	−1.00616	+	8.92996i	−0.102161	+	0.906700i	0.833192	+	0.552983i	$0.186511\pi$
$97$	−1.00616	+	8.92996i	−0.102161	+	0.906700i	−0.935353	+	0.353716i	$0.884918\pi$
$98$	−1.27404	+	3.56536i	−0.128697	+	0.360156i
$99$	6.68892	+	6.68892i	0.672262	+	0.672262i
$100$	4.09309	−	8.22016i	0.409309	−	0.822016i
$101$	4.94434	+	1.73010i	0.491980	+	0.172151i	0.564855	−	0.825190i	$-0.308932\pi$
$101$	4.94434	+	1.73010i	0.491980	+	0.172151i	−0.0728757	+	0.997341i	$0.523218\pi$
$102$	1.32855	+	3.87867i	0.131546	+	0.384045i
$103$	−0.816733	−	0.186414i	−0.0804751	−	0.0183679i	0.182094	−	0.983281i	$-0.441713\pi$
$103$	−0.816733	−	0.186414i	−0.0804751	−	0.0183679i	−0.262569	+	0.964913i	$0.584570\pi$
$104$	−11.9370	−	4.44398i	−1.17052	−	0.435768i
$105$	−0.605890	+	0.380706i	−0.0591288	+	0.0371531i
$106$	13.2719	−	8.21769i	1.28908	−	0.798173i
$107$	−4.01693	−	17.5993i	−0.388332	−	1.70139i	−0.670402	−	0.741998i	$-0.733878\pi$
$107$	−4.01693	−	17.5993i	−0.388332	−	1.70139i	0.282071	−	0.959394i	$-0.408979\pi$
$108$	4.40498	−	4.29025i	0.423869	−	0.412829i
$109$	−3.10535	+	3.89398i	−0.297438	+	0.372976i	−0.907984	−	0.419006i	$-0.862379\pi$
$109$	−3.10535	+	3.89398i	−0.297438	+	0.372976i	0.610546	+	0.791981i	$0.290950\pi$
$110$	1.38776	−	2.83374i	0.132318	−	0.270186i
$111$	1.09412	−	2.27196i	0.103849	−	0.215644i
$112$	8.15402	−	1.63603i	0.770482	−	0.154590i
$113$	−19.8091	+	2.23195i	−1.86348	+	0.209964i	−0.970662	−	0.240449i	$-0.922705\pi$
$113$	−19.8091	+	2.23195i	−1.86348	+	0.209964i	−0.892820	+	0.450413i	$0.851277\pi$
$114$	−0.525639	+	0.824427i	−0.0492306	+	0.0772146i
$115$		−	1.24170i		−	0.115789i
$116$	−9.38327	+	5.28718i	−0.871214	+	0.490903i
$117$		−	12.2044i		−	1.12830i
$118$	1.43258	+	0.913389i	0.131880	+	0.0840842i
$119$	−11.1242	+	1.25340i	−1.01975	+	0.114899i
$120$	−0.868520	−	0.439639i	−0.0792847	−	0.0401334i
$121$	−0.513527	+	1.06635i	−0.0466843	+	0.0969410i
$122$	−4.20592	−	2.05975i	−0.380786	−	0.186481i
$123$	2.12519	−	2.66491i	0.191622	−	0.240287i
$124$	11.0261	−	10.7389i	0.990172	−	0.964382i
$125$	−1.36425	−	5.97716i	−0.122022	−	0.534613i
$126$	4.19493	+	6.77501i	0.373714	+	0.603566i
$127$	17.1545	−	10.7789i	1.52222	−	0.956474i	0.527984	−	0.849254i	$-0.322948\pi$
$127$	17.1545	−	10.7789i	1.52222	−	0.956474i	0.994235	−	0.107220i	$-0.0341949\pi$
$128$	7.62217	+	8.36078i	0.673711	+	0.738995i
$129$	4.60076	+	1.05009i	0.405074	+	0.0924555i
$130$	−3.85122	+	1.31915i	−0.337775	+	0.115697i
$131$	12.7295	+	4.45425i	1.11218	+	0.389169i	0.822964	−	0.568094i	$-0.192319\pi$
$131$	12.7295	+	4.45425i	1.11218	+	0.389169i	0.289218	+	0.957263i	$0.406605\pi$
$132$	3.36474	+	1.67542i	0.292863	+	0.145826i
$133$	−1.88775	−	1.88775i	−0.163689	−	0.163689i
$134$	12.7072	+	4.54074i	1.09773	+	0.392261i
$135$	0.220036	−	1.95287i	0.0189377	−	0.168076i
$136$	−9.25764	−	12.0921i	−0.793836	−	1.03689i
$137$	0.507791	+	0.319066i	0.0433835	+	0.0272597i	0.553549	−	0.832816i	$-0.313273\pi$
$137$	0.507791	+	0.319066i	0.0433835	+	0.0272597i	−0.510166	+	0.860076i	$0.670416\pi$
$138$	1.47916	+	0.00975823i	0.125914	+	0.000830676i
$139$	−0.976939	+	0.470469i	−0.0828629	+	0.0399047i	−0.474856	−	0.880063i	$-0.657500\pi$
$139$	−0.976939	+	0.470469i	−0.0828629	+	0.0399047i	0.391993	+	0.919968i	$0.371786\pi$
$140$	1.68449	−	2.05604i	0.142366	−	0.173767i
$141$	3.79612	−	3.02730i	0.319691	−	0.254945i
$142$	1.03065	−	1.01714i	0.0864906	−	0.0853569i
$143$	14.8368	−	5.19161i	1.24071	−	0.434145i
$144$	−4.95952	+	9.63933i	−0.413293	+	0.803277i
$145$	−1.24886	+	3.20768i	−0.103712	+	0.266383i
$146$	−1.49695	−	1.90274i	−0.123889	−	0.157472i
$147$	−1.36061	+	0.476097i	−0.112221	+	0.0392678i
$148$	−1.17146	+	9.29321i	−0.0962932	+	0.763897i
$149$	−4.03591	−	5.06088i	−0.330635	−	0.414603i	0.588530	−	0.808475i	$-0.299707\pi$
$149$	−4.03591	−	5.06088i	−0.330635	−	0.414603i	−0.919165	+	0.393872i	$0.871135\pi$
$150$	3.41357	−	0.755468i	0.278717	−	0.0616837i
$151$	−16.3830	+	7.88963i	−1.33323	+	0.642049i	−0.958502	−	0.285086i	$-0.907978\pi$
$151$	−16.3830	+	7.88963i	−1.33323	+	0.642049i	−0.374727	+	0.927135i	$0.622264\pi$
$152$	0.878066	−	3.52406i	0.0712205	−	0.285839i
$153$	7.76333	−	12.3553i	0.627628	−	0.998865i
$154$	−6.45181	+	7.98172i	−0.519902	+	0.643186i
$155$	0.550770	−	4.88822i	0.0442389	−	0.392631i
$156$	−1.54115	−	4.59808i	−0.123391	−	0.368141i
$157$	−12.4374	+	12.4374i	−0.992613	+	0.992613i	−0.999973	−	0.00735970i	$-0.997657\pi$
$157$	−12.4374	+	12.4374i	−0.992613	+	0.992613i	0.00735970	+	0.999973i	$0.497657\pi$
$158$	1.47693	−	0.699287i	0.117498	−	0.0556323i
$159$	5.60970	+	1.96292i	0.444878	+	0.155670i
$160$	3.57784	+	0.523129i	0.282853	+	0.0413570i
$161$	−0.898734	+	3.93761i	−0.0708301	+	0.310327i
$162$	−9.09231	−	1.08525i	−0.714359	−	0.0852650i
$163$	−7.78904	+	4.89418i	−0.610085	+	0.383342i	−0.801349	−	0.598197i	$-0.795884\pi$
$163$	−7.78904	+	4.89418i	−0.610085	+	0.383342i	0.191264	+	0.981539i	$0.438741\pi$
$164$	−4.33897	+	11.8943i	−0.338817	+	0.928789i
$165$	1.17120	−	0.267318i	0.0911775	−	0.0208107i
$166$	−0.243750	−	2.29960i	−0.0189187	−	0.178483i
$167$	−5.45080	+	6.83508i	−0.421795	+	0.528915i	−0.946644	−	0.322281i	$-0.895550\pi$
$167$	−5.45080	+	6.83508i	−0.421795	+	0.528915i	0.524849	+	0.851195i	$0.324122\pi$
$168$	2.43599	+	2.02279i	0.187941	+	0.156061i
$169$	−6.55908	−	3.15869i	−0.504545	−	0.242976i
$170$	−4.73794	−	1.11434i	−0.363383	−	0.0854658i
$171$	3.45798	−	0.389621i	0.264438	−	0.0297950i
$172$	−17.4431	+	1.73263i	−1.33002	+	0.132112i
$173$	8.71414			0.662524			0.331262	−	0.943539i	$-0.392526\pi$
$173$	8.71414			0.662524			0.331262	+	0.943539i	$0.392526\pi$
$174$	−3.81128	−	1.51289i	−0.288933	−	0.114692i
$175$			9.54616i			0.721622i
$176$	−13.8281	−	1.92877i	−1.04233	−	0.145387i
$177$	0.0724248	+	0.642788i	0.00544378	+	0.0483149i
$178$	18.1255	+	4.26303i	1.35857	+	0.319527i
$179$	2.85834	−	5.93541i	0.213643	−	0.443634i	−0.766415	−	0.642345i	$-0.777961\pi$
$179$	2.85834	−	5.93541i	0.213643	−	0.443634i	0.980058	+	0.198712i	$0.0636758\pi$
$180$	0.726314	+	3.38761i	0.0541362	+	0.252498i
$181$	−3.89745	−	3.10811i	−0.289695	−	0.231024i	0.467849	−	0.883809i	$-0.345029\pi$
$181$	−3.89745	−	3.10811i	−0.289695	−	0.231024i	−0.757544	+	0.652785i	$0.773601\pi$
$182$	13.1676	−	1.39572i	0.976044	−	0.103458i
$183$	−0.396761	−	1.73832i	−0.0293294	−	0.128501i
$184$	−5.22101	+	1.71171i	−0.384898	+	0.126189i
$185$	1.59271	+	2.53478i	0.117098	+	0.186361i
$186$	5.81869	+	0.694512i	0.426647	+	0.0509241i
$187$	18.3226	+	4.18200i	1.33988	+	0.305818i
$188$	−9.79606	+	15.1431i	−0.714451	+	1.10442i
$189$	−2.11124	+	6.03356i	−0.153570	+	0.438877i
$190$	−0.496713	−	1.04908i	−0.0360353	−	0.0761085i
$191$	13.7861	+	13.7861i	0.997529	+	0.997529i	0.999997	−	0.00246829i	$-0.000785682\pi$
$191$	13.7861	+	13.7861i	0.997529	+	0.997529i	−0.00246829	+	0.999997i	$0.500786\pi$
$192$	−0.651287	+	4.25793i	−0.0470026	+	0.307290i
$193$	−7.93586	−	0.894157i	−0.571236	−	0.0643628i	−0.178378	−	0.983962i	$-0.557085\pi$
$193$	−7.93586	−	0.894157i	−0.571236	−	0.0643628i	−0.392858	+	0.919599i	$0.628514\pi$
$194$	7.98917	−	9.88363i	0.573589	−	0.709603i
$195$	−1.31234	−	0.824598i	−0.0939786	−	0.0590507i
$196$	4.22994	−	3.28291i	0.302139	−	0.234494i
$197$	−0.661463	−	1.37354i	−0.0471273	−	0.0978608i	0.876076	−	0.482174i	$-0.160153\pi$
$197$	−0.661463	−	1.37354i	−0.0471273	−	0.0978608i	−0.923203	+	0.384313i	$0.874438\pi$
$198$	−2.89074	−	13.0618i	−0.205436	−	0.928261i
$199$	−15.7081	+	12.5268i	−1.11352	+	0.888003i	−0.994484	−	0.104887i	$-0.966552\pi$
$199$	−15.7081	+	12.5268i	−1.11352	+	0.888003i	−0.119037	+	0.992890i	$0.537981\pi$
$200$	−11.1306	+	6.69027i	−0.787049	+	0.473073i
$201$	1.69684	+	4.84929i	0.119686	+	0.342042i
$202$	−4.58054	−	5.82220i	−0.322286	−	0.409649i
$203$	6.28200	−	9.26808i	0.440910	−	0.650492i
$204$	1.36467	−	5.63524i	0.0955461	−	0.394545i
$205$	1.33647	+	3.81941i	0.0933430	+	0.266759i
$206$	0.832192	+	0.843245i	0.0579816	+	0.0587517i
$207$	−3.28240	−	4.11600i	−0.228143	−	0.286082i
$208$	10.8556	+	14.3748i	0.752703	+	0.996715i
$209$	1.94464	+	4.03808i	0.134513	+	0.279320i
$210$	1.01195	+	0.00667596i	0.0698309	+	0.000460685i
$211$	10.4647	−	16.6545i	0.720423	−	1.14655i	−0.262926	−	0.964816i	$-0.584688\pi$
$211$	10.4647	−	16.6545i	0.720423	−	1.14655i	0.983348	−	0.181730i	$-0.0581696\pi$
$212$	−22.0741	−	0.291265i	−1.51605	−	0.0200041i
$213$	0.547845	+	0.0617274i	0.0375378	+	0.00422949i
$214$	−8.59057	+	24.0405i	−0.587239	+	1.64338i
$215$	−3.96141	+	3.96141i	−0.270166	+	0.270166i
$216$	−8.51459	+	1.76688i	−0.579345	+	0.120221i
$217$	−5.28462	+	15.1026i	−0.358744	+	1.02523i
$218$	6.66355	−	2.28245i	0.451313	−	0.154587i
$219$	0.205108	−	0.898637i	0.0138599	−	0.0607242i
$220$	−3.80931	+	2.32402i	−0.256824	+	0.156685i
$221$	−12.9003	−	20.5307i	−0.867766	−	1.38104i
$222$	−3.03203	+	1.87737i	−0.203497	+	0.126001i
$223$	15.6849	−	3.57997i	1.05034	−	0.239732i	0.337691	−	0.941257i	$-0.390354\pi$
$223$	15.6849	−	3.57997i	1.05034	−	0.239732i	0.712645	+	0.701525i	$0.247497\pi$
$224$	−10.9672	−	4.24853i	−0.732776	−	0.283867i
$225$	−9.72846	−	7.75819i	−0.648564	−	0.517212i
$226$	25.3185	+	12.3991i	1.68416	+	0.824779i
$227$	8.49515	+	4.09105i	0.563843	+	0.271533i	0.694017	−	0.719959i	$-0.255839\pi$
$227$	8.49515	+	4.09105i	0.563843	+	0.271533i	−0.130174	+	0.991491i	$0.541554\pi$
$228$	1.25361	−	0.583457i	0.0830221	−	0.0386404i
$229$	−0.266211	−	2.36269i	−0.0175917	−	0.156131i	0.981845	−	0.189684i	$-0.0607463\pi$
$229$	−0.266211	−	2.36269i	−0.0175917	−	0.156131i	−0.999437	+	0.0335530i	$0.989318\pi$
$230$	−0.944054	+	1.48068i	−0.0622491	+	0.0976331i
$231$	−3.90751			−0.257095
$232$	15.2090	+	0.829253i	0.998517	+	0.0544431i
$233$	8.50961			0.557483			0.278742	−	0.960366i	$-0.410083\pi$
$233$	8.50961			0.557483			0.278742	+	0.960366i	$0.410083\pi$
$234$	−9.27892	+	14.5533i	−0.606582	+	0.951379i
$235$	0.645380	+	5.72790i	0.0420999	+	0.373647i
$236$	−1.01386	−	2.17836i	−0.0659964	−	0.141799i
$237$	0.560542	+	0.269943i	0.0364111	+	0.0175347i
$238$	14.2181	+	6.96300i	0.921623	+	0.451344i
$239$	18.1826	+	14.5002i	1.17614	+	0.937937i	0.998931	−	0.0462367i	$-0.0147229\pi$
$239$	18.1826	+	14.5002i	1.17614	+	0.937937i	0.177205	+	0.984174i	$0.443294\pi$
$240$	0.701422	+	1.18458i	0.0452766	+	0.0764643i
$241$	3.62069	−	0.826399i	0.233229	−	0.0532330i	−0.104309	−	0.994545i	$-0.533263\pi$
$241$	3.62069	−	0.826399i	0.233229	−	0.0532330i	0.337538	+	0.941312i	$0.390406\pi$
$242$	1.42310	−	0.881150i	0.0914801	−	0.0566425i
$243$	−6.76200	−	10.7617i	−0.433783	−	0.690361i
$244$	3.44937	+	5.65389i	0.220823	+	0.361953i
$245$	0.380797	−	1.66838i	0.0243282	−	0.106589i
$246$	−4.56031	+	1.56203i	−0.290755	+	0.0995914i
$247$	1.90982	−	5.45796i	0.121519	−	0.347282i
$248$	−21.3128	+	4.42267i	−1.35337	+	0.280840i
$249$	0.622557	−	0.622557i	0.0394529	−	0.0394529i
$250$	−2.91756	+	8.16474i	−0.184523	+	0.516383i
$251$	13.9979	+	1.57719i	0.883542	+	0.0995513i	0.542063	−	0.840338i	$-0.317644\pi$
$251$	13.9979	+	1.57719i	0.883542	+	0.0995513i	0.341479	+	0.939889i	$0.389072\pi$
$252$	0.148684	−	11.2683i	0.00936619	−	0.709835i
$253$	3.60747	−	5.74126i	0.226800	−	0.360950i
$254$	−28.6512	−	0.189016i	−1.79774	−	0.0118599i
$255$	−0.804025	−	1.66958i	−0.0503500	−	0.104553i
$256$	−2.73251	−	15.7649i	−0.170782	−	0.985309i
$257$	10.2604	+	12.8661i	0.640026	+	0.802567i	0.991006	−	0.133816i	$-0.0427231\pi$
$257$	10.2604	+	12.8661i	0.640026	+	0.802567i	−0.350981	+	0.936383i	$0.614152\pi$
$258$	−4.68784	−	4.75010i	−0.291852	−	0.295729i
$259$	−3.21604	−	9.19093i	−0.199835	−	0.571096i
$260$	5.59536	+	1.35502i	0.347010	+	0.0840345i
$261$	4.33967	+	13.9341i	0.268619	+	0.862502i
$262$	−11.7929	−	14.9896i	−0.728568	−	0.926062i
$263$	−3.71549	−	10.6183i	−0.229107	−	0.654749i	−0.999845	−	0.0175977i	$-0.994398\pi$
$263$	−3.71549	−	10.6183i	−0.229107	−	0.654749i	0.770738	−	0.637152i	$-0.219888\pi$
$264$	−2.73851	−	4.55604i	−0.168544	−	0.280405i
$265$	−5.51623	+	4.39905i	−0.338860	+	0.270231i
$266$	0.815827	+	3.68630i	0.0500216	+	0.226022i
$267$	3.07589	+	6.38716i	0.188242	+	0.390888i
$268$	−11.7005	−	15.0758i	−0.714722	−	0.920900i
$269$	−17.5284	−	11.0139i	−1.06873	−	0.671526i	−0.121664	−	0.992571i	$-0.538823\pi$
$269$	−17.5284	−	11.0139i	−1.06873	−	0.671526i	−0.947064	+	0.321045i	$0.895966\pi$
$270$	−1.74713	+	2.16143i	−0.106327	+	0.131540i
$271$	22.7329	+	2.56138i	1.38092	+	0.155593i	0.770983	−	0.636855i	$-0.219765\pi$
$271$	22.7329	+	2.56138i	1.38092	+	0.155593i	0.609940	+	0.792448i	$0.291194\pi$
$272$	1.84586	+	21.4578i	0.111922	+	1.30107i
$273$	3.56477	+	3.56477i	0.215750	+	0.215750i
$274$	−0.362937	−	0.766542i	−0.0219258	−	0.0463085i
$275$	5.29316	−	15.1270i	0.319190	−	0.912191i
$276$	−1.75642	−	1.13623i	−0.105724	−	0.0683928i
$277$	17.2100	+	3.92807i	1.03405	+	0.236015i	0.705677	−	0.708534i	$-0.250643\pi$
$277$	17.2100	+	3.92807i	1.03405	+	0.236015i	0.328371	+	0.944549i	$0.393500\pi$
$278$	1.52265	+	0.181742i	0.0913226	+	0.0109002i
$279$	−11.0962	−	17.6594i	−0.664310	−	1.05724i
$280$	−3.57188	+	1.17104i	−0.213461	+	0.0699832i
$281$	−1.27085	−	5.56797i	−0.0758127	−	0.332157i	0.922772	−	0.385347i	$-0.125918\pi$
$281$	−1.27085	−	5.56797i	−0.0758127	−	0.332157i	−0.998584	+	0.0531899i	$0.983061\pi$
$282$	−6.82835	+	0.723784i	−0.406622	+	0.0431007i
$283$	−9.03382	−	7.20423i	−0.537005	−	0.428247i	0.317066	−	0.948403i	$-0.397302\pi$
$283$	−9.03382	−	7.20423i	−0.537005	−	0.428247i	−0.854071	+	0.520156i	$0.825874\pi$
$284$	−2.00234	+	0.429307i	−0.118817	+	0.0254747i
$285$	0.191744	−	0.398160i	0.0113579	−	0.0235850i
$286$	−21.6394	−	5.08947i	−1.27956	−	0.300947i
$287$	−1.47367	−	13.0792i	−0.0869880	−	0.772040i
$288$	13.2427	−	7.72383i	0.780334	−	0.455131i
$289$		−	11.9903i		−	0.705313i
$290$	3.92798	−	2.87553i	0.230659	−	0.168857i
$291$	4.83860			0.283644
$292$	0.338424	+	3.40705i	0.0198048	+	0.199383i
$293$	−32.6730	+	3.68137i	−1.90878	+	0.215068i	−0.985575	−	0.169241i	$-0.945868\pi$
$293$	−32.6730	+	3.68137i	−1.90878	+	0.215068i	−0.923205	+	0.384309i	$0.874440\pi$
$294$	1.98444	+	0.466730i	0.115735	+	0.0272202i
$295$	−0.691871	−	0.333188i	−0.0402823	−	0.0193989i
$296$	8.46245	−	10.1911i	0.491870	−	0.592347i
$297$	6.69099	−	8.39023i	0.388251	−	0.486851i
$298$	0.964928	+	9.10335i	0.0558968	+	0.527343i
$299$	−8.52874	+	1.94663i	−0.493230	+	0.112577i
$300$	−4.64492	−	1.69444i	−0.268175	−	0.0978286i
$301$	15.4294	−	9.69495i	0.889337	−	0.558808i
$302$	25.5345	+	3.04776i	1.46934	+	0.175379i
$303$	0.627612	−	2.74975i	0.0360554	−	0.157969i
$304$	−3.72637	+	3.53472i	−0.213722	+	0.202730i
$305$	1.99795	+	0.699113i	0.114402	+	0.0400311i
$306$	−18.6510	+	8.83077i	−1.06621	+	0.504822i
$307$	−18.0450	+	18.0450i	−1.02988	+	1.02988i	−0.0303406	+	0.999540i	$0.509659\pi$
$307$	−18.0450	+	18.0450i	−1.02988	+	1.02988i	−0.999540	+	0.0303406i	$0.990341\pi$
$308$	13.7620	−	4.61263i	0.784160	−	0.262829i
$309$	−0.0505032	+	0.448228i	−0.00287303	+	0.0254988i
$310$	−4.37324	+	5.41026i	−0.248383	+	0.307282i
$311$	−1.61976	+	2.57784i	−0.0918484	+	0.146176i	−0.889488	−	0.456958i	$-0.848939\pi$
$311$	−1.61976	+	2.57784i	−0.0918484	+	0.146176i	0.797640	+	0.603134i	$0.206082\pi$
$312$	−1.65811	+	6.65474i	−0.0938722	+	0.376750i
$313$	13.1083	−	6.31265i	0.740928	−	0.356812i	−0.0250440	−	0.999686i	$-0.507973\pi$
$313$	13.1083	−	6.31265i	0.740928	−	0.356812i	0.765972	+	0.642874i	$0.222258\pi$
$314$	24.2871	−	5.37506i	1.37060	−	0.303332i
$315$	−2.24561	−	2.81591i	−0.126526	−	0.158658i
$316$	−2.29284	−	0.289025i	−0.128982	−	0.0162589i
$317$	4.91809	−	1.72091i	0.276227	−	0.0966561i	−0.188610	−	0.982052i	$-0.560398\pi$
$317$	4.91809	−	1.72091i	0.276227	−	0.0966561i	0.464838	+	0.885396i	$0.346113\pi$
$318$	−5.19695	−	6.60570i	−0.291430	−	0.370429i
$319$	−15.0935	+	11.2031i	−0.845074	+	0.627252i
$320$	−3.86870	−	3.34401i	−0.216267	−	0.186936i
$321$	−9.17430	+	3.21023i	−0.512059	+	0.179177i
$322$	4.06543	−	4.01214i	0.226558	−	0.223588i
$323$	5.40527	−	4.31056i	0.300757	−	0.239846i
$324$	10.0171	+	8.20690i	0.556506	+	0.455939i
$325$	−18.6291	+	8.97128i	−1.03335	+	0.497637i
$326$	13.0091	+	0.0858231i	0.720508	+	0.00475330i
$327$	2.27067	+	1.42675i	0.125568	+	0.0788997i
$328$	14.2172	−	10.8846i	0.785012	−	0.601001i
$329$	2.09922	−	18.6311i	0.115734	−	1.02717i
$330$	−1.59984	−	0.571683i	−0.0880684	−	0.0314701i
$331$	18.4808	+	18.4808i	1.01580	+	1.01580i	0.999873	+	0.0159244i	$0.00506911\pi$
$331$	18.4808	+	18.4808i	1.01580	+	1.01580i	0.0159244	+	0.999873i	$0.494931\pi$
$332$	−1.45770	+	2.92750i	−0.0800016	+	0.160667i
$333$	11.9801	+	4.19203i	0.656507	+	0.229722i
$334$	11.6965	−	4.00637i	0.640004	−	0.219219i
$335$	−5.94621	−	1.35718i	−0.324876	−	0.0741509i
$336$	−1.36692	−	4.26415i	−0.0745714	−	0.232628i
$337$	2.61561	−	1.64349i	0.142481	−	0.0895268i	−0.458905	−	0.888485i	$-0.651758\pi$
$337$	2.61561	−	1.64349i	0.142481	−	0.0895268i	0.601386	+	0.798958i	$0.294615\pi$
$338$	5.41992	+	8.75341i	0.294805	+	0.476123i
$339$	2.38839	+	10.4642i	0.129720	+	0.568339i
$340$	4.80258	+	4.93101i	0.260456	+	0.267422i
$341$	16.7482	−	21.0016i	0.906965	−	1.13730i
$342$	−4.41972	−	2.16446i	−0.238991	−	0.117041i
$343$	−8.72983	+	18.1277i	−0.471366	+	0.978802i
$344$	22.1175	+	11.1957i	1.19250	+	0.603634i
$345$	−0.664368	+	0.0748563i	−0.0357684	+	0.00403013i
$346$	−10.3913	−	6.62528i	−0.558637	−	0.356177i
$347$		−	17.1796i		−	0.922247i	−0.887336	−	0.461124i	$-0.847446\pi$
$347$		−	17.1796i		−	0.922247i	0.887336	−	0.461124i	$-0.152554\pi$
$348$	3.39456	+	4.70174i	0.181968	+	0.252040i
$349$			27.8768i			1.49221i	0.665826	+	0.746107i	$0.268079\pi$
$349$			27.8768i			1.49221i	−0.665826	+	0.746107i	$0.731921\pi$
$350$	7.25785	−	11.3834i	0.387949	−	0.608469i
$351$	−13.7584	+	1.55020i	−0.734370	+	0.0827437i
$352$	15.0230	+	12.8134i	0.800730	+	0.682955i
$353$	−12.1002	+	25.1262i	−0.644026	+	1.33733i	0.281832	+	0.959464i	$0.409058\pi$
$353$	−12.1002	+	25.1262i	−0.644026	+	1.33733i	−0.925858	+	0.377871i	$0.876656\pi$
$354$	0.402342	−	0.821562i	0.0213842	−	0.0436655i
$355$	−0.408070	+	0.511704i	−0.0216581	+	0.0271584i
$356$	−18.3728	−	18.8641i	−0.973757	−	0.999798i
$357$	1.34125	+	5.87640i	0.0709865	+	0.311012i
$358$	−7.92110	+	4.90457i	−0.418643	+	0.259214i
$359$	0.937226	−	0.588898i	0.0494649	−	0.0310809i	−0.507073	−	0.861903i	$-0.669272\pi$
$359$	0.937226	−	0.588898i	0.0494649	−	0.0310809i	0.556538	+	0.830822i	$0.312130\pi$
$360$	1.70947	−	4.59180i	0.0900969	−	0.242009i
$361$	−16.9162	−	3.86102i	−0.890327	−	0.203211i
$362$	2.28448	+	6.66948i	0.120070	+	0.350540i
$363$	0.601505	+	0.210476i	0.0315708	+	0.0110471i
$364$	−16.7629	−	8.34682i	−0.878616	−	0.437492i
$365$	0.773758	+	0.773758i	0.0405003	+	0.0405003i
$366$	−0.848509	+	2.37453i	−0.0443523	+	0.124119i
$367$	3.52984	−	31.3282i	0.184256	−	1.63532i	−0.472583	−	0.881286i	$-0.656678\pi$
$367$	3.52984	−	31.3282i	0.184256	−	1.63532i	0.656839	−	0.754031i	$-0.271893\pi$
$368$	7.52723	+	1.92834i	0.392384	+	0.100521i
$369$	14.5266	+	9.12767i	0.756225	+	0.475168i
$370$	0.0279293	−	4.23354i	0.00145198	−	0.220091i
$371$	20.6767	−	9.95739i	1.07348	−	0.516962i
$372$	−6.41052	−	5.25207i	−0.332370	−	0.272307i
$373$	13.8602	−	11.0531i	0.717652	−	0.572309i	−0.195119	−	0.980780i	$-0.562509\pi$
$373$	13.8602	−	11.0531i	0.717652	−	0.572309i	0.912771	+	0.408471i	$0.133938\pi$
$374$	−18.6694	−	18.9173i	−0.965370	−	0.978192i
$375$	−3.11581	+	1.09027i	−0.160900	+	0.0563013i
$376$	23.1945	−	10.6097i	1.19617	−	0.547151i
$377$	23.9901	+	3.54919i	1.23555	+	0.182793i
$378$	7.10482	−	5.58963i	0.365433	−	0.287499i
$379$	−15.7505	+	5.51135i	−0.809050	+	0.283099i	−0.702934	−	0.711255i	$-0.748127\pi$
$379$	−15.7505	+	5.51135i	−0.809050	+	0.283099i	−0.106116	+	0.994354i	$0.533841\pi$
$380$	−0.205298	+	1.62863i	−0.0105316	+	0.0835472i
$381$	−6.80139	−	8.52867i	−0.348446	−	0.436937i
$382$	−5.95793	−	26.9208i	−0.304834	−	1.37739i
$383$	23.5022	−	11.3181i	1.20091	−	0.578327i	0.276974	−	0.960878i	$-0.410669\pi$
$383$	23.5022	−	11.3181i	1.20091	−	0.578327i	0.923934	+	0.382551i	$0.124954\pi$
$384$	4.01390	−	4.58224i	0.204833	−	0.233837i
$385$	2.46800	−	3.92781i	0.125781	−	0.200180i
$386$	8.78337	+	7.09980i	0.447062	+	0.361370i
$387$	−2.65944	+	23.6032i	−0.135187	+	1.19982i
$388$	−17.0412	+	5.71174i	−0.865135	+	0.289970i
$389$	−19.7414	+	19.7414i	−1.00093	+	1.00093i	−0.000927602		1.00000i	$0.500295\pi$
$389$	−19.7414	+	19.7414i	−1.00093	+	1.00093i	−1.00000		0.000927602i	$0.999705\pi$
$390$	0.937978	+	1.98106i	0.0474964	+	0.100315i
$391$	−9.87241	−	3.45451i	−0.499269	−	0.174702i
$392$	−7.54000	+	0.698751i	−0.380827	+	0.0352922i
$393$	1.61583	−	7.07940i	0.0815077	−	0.357109i
$394$	−0.255523	+	2.14080i	−0.0128731	+	0.107852i
$395$	−0.625386	+	0.392956i	−0.0314666	+	0.0197718i
$396$	−6.48365	+	17.7734i	−0.325816	+	0.893149i
$397$	14.5244	−	3.31509i	0.728956	−	0.166380i	0.158093	−	0.987424i	$-0.449466\pi$
$397$	14.5244	−	3.31509i	0.728956	−	0.166380i	0.570864	+	0.821045i	$0.306608\pi$
$398$	28.2553	−	2.99498i	1.41631	−	0.150125i
$399$	−0.896230	+	1.12384i	−0.0448676	+	0.0562622i
$400$	18.3593	+	0.484581i	0.917964	+	0.0242291i
$401$	−4.01146	−	1.93182i	−0.200323	−	0.0964703i	0.331033	−	0.943619i	$-0.392603\pi$
$401$	−4.01146	−	1.93182i	−0.200323	−	0.0964703i	−0.531356	+	0.847149i	$0.678317\pi$
$402$	1.66345	−	7.07267i	0.0829655	−	0.352753i
$403$	−34.4386	+	3.88030i	−1.71551	+	0.193292i
$404$	1.03555	+	10.4253i	0.0515204	+	0.518677i
$405$	4.13876			0.205657
$406$	−14.5375	+	6.27567i	−0.721482	+	0.311456i
$407$			16.3473i			0.810306i
$408$	−5.91173	+	5.68224i	−0.292674	+	0.281313i
$409$	2.81378	+	24.9730i	0.139132	+	1.23483i	0.848193	+	0.529687i	$0.177690\pi$
$409$	2.81378	+	24.9730i	0.139132	+	1.23483i	−0.709061	+	0.705147i	$0.750881\pi$
$410$	1.31017	−	5.57059i	0.0647049	−	0.275112i
$411$	0.140103	−	0.290927i	0.00691077	−	0.0143504i
$412$	−0.351244	−	1.63824i	−0.0173046	−	0.0807104i
$413$	1.95286	+	1.55735i	0.0960940	+	0.0766324i
$414$	0.784774	+	7.40374i	0.0385695	+	0.363874i
$415$	0.232580	+	1.01900i	0.0114169	+	0.0500208i
$416$	−2.01586	−	25.3948i	−0.0988355	−	1.24508i
$417$	0.310618	+	0.494345i	0.0152110	+	0.0242082i
$418$	0.751212	−	6.29373i	0.0367430	−	0.307836i
$419$	−37.1005	−	8.46795i	−1.81248	−	0.413686i	−0.824194	−	0.566307i	$-0.808371\pi$
$419$	−37.1005	−	8.46795i	−1.81248	−	0.413686i	−0.988285	+	0.152621i	$0.951229\pi$
$420$	−1.20163	−	0.777333i	−0.0586335	−	0.0379300i
$421$	5.55967	−	15.8886i	0.270962	−	0.774364i	−0.725336	−	0.688395i	$-0.758316\pi$
$421$	5.55967	−	15.8886i	0.270962	−	0.774364i	0.996298	−	0.0859693i	$-0.0273987\pi$
$422$	−25.1411	+	11.9036i	−1.22385	+	0.579459i
$423$	17.2808	+	17.2808i	0.840223	+	0.840223i
$424$	26.1010	+	17.1300i	1.26758	+	0.831908i
$425$	−24.5660	−	2.76792i	−1.19162	−	0.134264i
$426$	−0.606353	−	0.490129i	−0.0293779	−	0.0237468i
$427$	−5.82976	−	3.66308i	−0.282122	−	0.177269i
$428$	28.5217	−	22.1360i	1.37865	−	1.06998i
$429$	−3.67219	−	7.62539i	−0.177295	−	0.368157i
$430$	7.73565	−	1.71200i	0.373046	−	0.0825600i
$431$	18.3753	−	14.6538i	0.885106	−	0.705849i	−0.0714351	−	0.997445i	$-0.522758\pi$
$431$	18.3753	−	14.6538i	0.885106	−	0.705849i	0.956541	+	0.291597i	$0.0941865\pi$
$432$	11.4966	+	4.36663i	0.553133	+	0.210089i
$433$	−11.6614	−	33.3263i	−0.560411	−	1.60156i	−0.779871	−	0.625940i	$-0.784716\pi$
$433$	−11.6614	−	33.3263i	−0.560411	−	1.60156i	0.219461	−	0.975621i	$-0.429570\pi$
$434$	17.7840	−	13.9914i	0.853661	−	0.671607i
$435$	1.79154	+	0.474822i	0.0858980	+	0.0227660i
$436$	−9.68134	−	2.34451i	−0.463652	−	0.112282i
$437$	−0.823829	−	2.35437i	−0.0394091	−	0.112625i
$438$	−0.927808	+	0.915646i	−0.0443324	+	0.0437513i
$439$	−20.9291	−	26.2442i	−0.998889	−	1.25257i	−0.967450	−	0.253062i	$-0.918562\pi$
$439$	−20.9291	−	26.2442i	−0.998889	−	1.25257i	−0.0314393	−	0.999506i	$-0.510009\pi$
$440$	6.30937	+	0.124886i	0.300788	+	0.00595371i
$441$	−3.14804	−	6.53698i	−0.149907	−	0.311285i
$442$	−0.226216	+	34.2899i	−0.0107600	+	1.63100i
$443$	−12.8295	+	20.4180i	−0.609546	+	0.970086i	0.389255	+	0.921130i	$0.372732\pi$
$443$	−12.8295	+	20.4180i	−0.609546	+	0.970086i	−0.998801	+	0.0489564i	$0.984410\pi$
$444$	5.04292	+	0.0665407i	0.239326	+	0.00315788i
$445$	−8.36309	−	0.942294i	−0.396448	−	0.0446690i
$446$	−21.4254	−	7.65608i	−1.01452	−	0.362526i
$447$	−2.46450	+	2.46450i	−0.116567	+	0.116567i
$448$	9.84781	+	13.4044i	0.465265	+	0.633300i
$449$	4.09098	−	11.6913i	0.193065	−	0.551748i	−0.806135	−	0.591731i	$-0.798445\pi$
$449$	4.09098	−	11.6913i	0.193065	−	0.551748i	0.999200	+	0.0399829i	$0.0127303\pi$
$450$	5.70232	+	16.6478i	0.268810	+	0.784783i
$451$	−4.91696	+	21.5426i	−0.231530	+	1.01440i
$452$	−20.7643	−	34.0348i	−0.976669	−	1.60086i
$453$	5.20897	+	8.29003i	0.244739	+	0.389500i
$454$	−7.01974	−	11.3372i	−0.329453	−	0.532081i
$455$	−5.83482	+	1.33176i	−0.273541	+	0.0624339i
$456$	−1.93847	−	0.257357i	−0.0907772	−	0.0120518i
$457$	4.19222	+	3.34319i	0.196104	+	0.156388i	0.716619	−	0.697465i	$-0.245689\pi$
$457$	4.19222	+	3.34319i	0.196104	+	0.156388i	−0.520515	+	0.853852i	$0.674260\pi$
$458$	−1.47888	+	3.01981i	−0.0691037	+	0.141106i
$459$	−14.9145	−	7.18247i	−0.696151	−	0.335249i
$460$	2.25149	−	1.04789i	0.104976	−	0.0488583i
$461$	−0.450246	−	3.99605i	−0.0209701	−	0.186114i	0.978860	−	0.204530i	$-0.0655665\pi$
$461$	−0.450246	−	3.99605i	−0.0209701	−	0.186114i	−0.999830	+	0.0184153i	$0.994138\pi$
$462$	4.65954	+	2.97084i	0.216782	+	0.138216i
$463$	−23.0349			−1.07052			−0.535260	−	0.844687i	$-0.679787\pi$
$463$	−23.0349			−1.07052			−0.535260	+	0.844687i	$0.679787\pi$
$464$	−17.5056	−	12.5521i	−0.812676	−	0.582715i
$465$	−2.64863			−0.122827
$466$	−10.1474	−	6.46977i	−0.470067	−	0.299706i
$467$	0.445264	+	3.95183i	0.0206044	+	0.182869i	0.999799	−	0.0200550i	$-0.00638414\pi$
$467$	0.445264	+	3.95183i	0.0206044	+	0.182869i	−0.979194	+	0.202924i	$0.934956\pi$
$468$	22.1295	−	10.2996i	1.02294	−	0.476097i
$469$	17.8739	+	8.60764i	0.825342	+	0.397464i
$470$	3.58528	−	7.32096i	0.165377	−	0.337691i
$471$	7.40438	+	5.90480i	0.341176	+	0.272079i
$472$	−0.447202	+	3.36843i	−0.0205841	+	0.155044i
$473$	−29.8254	+	6.80744i	−1.37137	+	0.313007i
$474$	−0.463188	−	0.748070i	−0.0212749	−	0.0343600i
$475$	−3.13662	−	4.99191i	−0.143918	−	0.229044i
$476$	−11.6606	−	19.1130i	−0.534463	−	0.876042i
$477$	−6.65649	+	29.1640i	−0.304780	+	1.33533i
$478$	−10.6577	−	31.1149i	−0.487472	−	1.42316i
$479$	−1.66471	+	4.75746i	−0.0760624	+	0.217374i	−0.975636	−	0.219395i	$-0.929592\pi$
$479$	−1.66471	+	4.75746i	−0.0760624	+	0.217374i	0.899574	+	0.436769i	$0.143877\pi$
$480$	0.0642076	−	1.94585i	0.00293066	−	0.0888154i
$481$	14.9135	−	14.9135i	0.679995	−	0.679995i
$482$	−4.94583	−	1.76733i	−0.225276	−	0.0804996i
$483$	2.16098	+	0.243484i	0.0983282	+	0.0110789i
$484$	−2.36691	−	0.0312311i	−0.107587	−	0.00141960i
$485$	−3.05609	+	4.86373i	−0.138770	+	0.220851i
$486$	−0.118577	+	17.9739i	−0.00537875	+	0.815314i
$487$	5.74657	+	11.9329i	0.260402	+	0.540730i	0.989647	−	0.143522i	$-0.0458429\pi$
$487$	5.74657	+	11.9329i	0.260402	+	0.540730i	−0.729245	+	0.684252i	$0.760129\pi$
$488$	0.185360	−	9.36455i	0.00839083	−	0.423913i
$489$	3.08818	+	3.87245i	0.139652	+	0.175118i
$490$	−1.72254	+	1.69996i	−0.0778163	+	0.0767963i
$491$	5.98712	+	17.1102i	0.270195	+	0.772173i	0.996406	+	0.0847013i	$0.0269936\pi$
$491$	5.98712	+	17.1102i	0.270195	+	0.772173i	−0.726212	+	0.687471i	$0.758721\pi$
$492$	6.62558	+	1.60450i	0.298704	+	0.0723365i
$493$	22.0289	+	18.8533i	0.992131	+	0.849110i
$494$	−6.42702	+	5.05637i	−0.289165	+	0.227497i
$495$	1.99706	+	5.70727i	0.0897612	+	0.256523i
$496$	28.7772	+	10.9301i	1.29213	+	0.490775i
$497$	1.66441	−	1.32733i	0.0746592	−	0.0595387i
$498$	−1.21570	+	0.269050i	−0.0544767	+	0.0120564i
$499$	16.3632	+	33.9786i	0.732519	+	1.52109i	0.849286	+	0.527932i	$0.177033\pi$
$499$	16.3632	+	33.9786i	0.732519	+	1.52109i	−0.116767	+	0.993159i	$0.537253\pi$
$500$	9.68664	−	7.51792i	0.433200	−	0.336212i
$501$	3.98569	+	2.50437i	0.178067	+	0.111887i
$502$	−15.4928	−	12.5232i	−0.691480	−	0.558939i
$503$	−8.90403	−	1.00324i	−0.397011	−	0.0447324i	−0.0887977	−	0.996050i	$-0.528302\pi$
$503$	−8.90403	−	1.00324i	−0.397011	−	0.0447324i	−0.308213	+	0.951317i	$0.599731\pi$
$504$	−8.74447	+	13.3239i	−0.389510	+	0.593495i
$505$	2.36763	+	2.36763i	0.105358	+	0.105358i
$506$	−8.66679	+	4.10349i	−0.385286	+	0.182423i
$507$	−1.29463	+	3.69983i	−0.0574964	+	0.164315i
$508$	34.0217	+	22.0086i	1.50947	+	0.976475i
$509$	24.1460	+	5.51117i	1.07025	+	0.244278i	0.721131	−	0.692799i	$-0.243623\pi$
$509$	24.1460	+	5.51117i	1.07025	+	0.244278i	0.349122	+	0.937077i	$0.386480\pi$
$510$	−0.310595	+	2.60219i	−0.0137534	+	0.115227i
$511$	−1.89365	−	3.01373i	−0.0837703	−	0.133320i
$512$	−8.72753	+	20.8765i	−0.385706	+	0.922622i
$513$	−0.878461	−	3.84879i	−0.0387850	−	0.169928i
$514$	−2.45311	−	23.1432i	−0.108202	−	1.02080i
$515$	−0.418659	−	0.333869i	−0.0184483	−	0.0147120i
$516$	1.97860	+	9.22842i	0.0871030	+	0.406259i
$517$	−13.6570	+	28.3591i	−0.600636	+	1.24723i
$518$	−3.15277	+	13.4049i	−0.138525	+	0.588979i
$519$	−0.525334	−	4.66247i	−0.0230596	−	0.204660i
$520$	−5.64204	−	5.86990i	−0.247420	−	0.257412i
$521$			28.2413i			1.23728i	0.785676	+	0.618638i	$0.212315\pi$
$521$			28.2413i			1.23728i	−0.785676	+	0.618638i	$0.787685\pi$
$522$	5.41911	−	19.9153i	0.237188	−	0.871670i
$523$	−19.7106			−0.861886			−0.430943	−	0.902379i	$-0.641819\pi$
$523$	−19.7106			−0.861886			−0.430943	+	0.902379i	$0.641819\pi$
$524$	2.66608	+	26.8405i	0.116468	+	1.17253i
$525$	5.10764	−	0.575493i	0.222916	−	0.0251166i
$526$	−3.64239	+	15.4867i	−0.158816	+	0.675251i
$527$	−37.3325	−	17.9784i	−1.62623	−	0.783151i
$528$	−0.198352	+	7.51496i	−0.00863218	+	0.327047i
$529$	11.9875	−	15.0318i	0.521194	−	0.653556i
$530$	9.92244	−	1.05175i	0.431003	−	0.0456850i
$531$	−3.17419	+	0.724488i	−0.137748	+	0.0314401i
$532$	1.82982	−	5.01603i	0.0793327	−	0.217473i
$533$	24.1387	−	15.1674i	1.04556	−	0.656972i
$534$	1.18822	−	9.95499i	0.0514191	−	0.430795i
$535$	2.56764	−	11.2496i	0.111009	−	0.486361i
$536$	2.49039	+	26.8730i	0.107569	+	1.16074i
$537$	−3.34804	−	1.17153i	−0.144478	−	0.0505552i
$538$	12.5282	+	26.4603i	0.540130	+	1.14078i
$539$	6.60778	−	6.60778i	0.284617	−	0.284617i
$540$	3.72670	−	1.24909i	0.160372	−	0.0537522i
$541$	−1.61089	+	14.2971i	−0.0692577	+	0.614679i	0.910361	+	0.413814i	$0.135804\pi$
$541$	−1.61089	+	14.2971i	−0.0692577	+	0.614679i	−0.979619	+	0.200865i	$0.935625\pi$
$542$	−25.1606	−	20.3379i	−1.08074	−	0.873588i
$543$	−1.42802	+	2.27269i	−0.0612824	+	0.0975303i
$544$	14.1131	−	26.9910i	0.605092	−	1.15723i
$545$	−2.86833	+	1.38132i	−0.122866	+	0.0591691i
$546$	−1.54058	−	6.96111i	−0.0659309	−	0.297908i
$547$	−10.8365	−	13.5885i	−0.463335	−	0.581003i	0.494190	−	0.869354i	$-0.335465\pi$
$547$	−10.8365	−	13.5885i	−0.463335	−	0.581003i	−0.957525	+	0.288351i	$0.906893\pi$
$548$	−0.150007	+	1.19001i	−0.00640797	+	0.0508346i
$549$	8.47090	−	2.96409i	0.361529	−	0.126504i
$550$	−17.8128	+	14.0140i	−0.759539	+	0.597558i
$551$	−0.239748	+	6.91060i	−0.0102136	+	0.294401i
$552$	1.23059	+	2.69029i	0.0523776	+	0.114506i
$553$	2.26760	−	0.793469i	0.0964284	−	0.0337417i
$554$	−17.5357	−	17.7686i	−0.745022	−	0.754917i
$555$	1.26021	−	1.00498i	0.0534929	−	0.0426591i
$556$	−1.67752	−	1.37438i	−0.0711429	−	0.0582866i
$557$	−39.5700	+	19.0559i	−1.67663	+	0.807425i	−0.679347	+	0.733817i	$0.737737\pi$
$557$	−39.5700	+	19.0559i	−1.67663	+	0.807425i	−0.997287	+	0.0736077i	$0.976549\pi$
$558$	−0.194579	+	29.4945i	−0.00823720	+	1.24860i
$559$	33.4197	+	20.9990i	1.41350	+	0.888162i
$560$	5.14965	+	1.31924i	0.217613	+	0.0557482i
$561$	1.13299	−	10.0555i	0.0478347	−	0.424545i
$562$	−2.71783	+	7.60579i	−0.114645	+	0.320831i
$563$	2.18118	+	2.18118i	0.0919259	+	0.0919259i	0.751574	−	0.659648i	$-0.229295\pi$
$563$	2.18118	+	2.18118i	0.0919259	+	0.0919259i	−0.659648	+	0.751574i	$0.729295\pi$
$564$	8.69281	+	4.32844i	0.366033	+	0.182260i
$565$	−12.0271	−	4.20847i	−0.505984	−	0.177052i
$566$	5.29516	+	15.4591i	0.222572	+	0.649793i
$567$	−13.1246	−	2.99560i	−0.551180	−	0.125803i
$568$	2.71410	+	1.01043i	0.113881	+	0.0423966i
$569$	22.3730	−	14.0579i	0.937926	−	0.589338i	0.0259862	−	0.999662i	$-0.491727\pi$
$569$	22.3730	−	14.0579i	0.937926	−	0.589338i	0.911940	+	0.410324i	$0.134585\pi$
$570$	−0.531364	+	0.329009i	−0.0222564	+	0.0137807i
$571$	−2.38848	−	10.4646i	−0.0999546	−	0.437930i	−0.999998	−	0.00212884i	$-0.999322\pi$
$571$	−2.38848	−	10.4646i	−0.0999546	−	0.437930i	0.900043	−	0.435801i	$-0.143535\pi$
$572$	21.9346	+	22.5212i	0.917132	+	0.941659i
$573$	6.54511	−	8.20731i	0.273426	−	0.342865i
$574$	−8.18669	+	16.7168i	−0.341706	+	0.697746i
$575$	−3.86989	+	8.03591i	−0.161386	+	0.335121i
$576$	−21.6637	−	0.857949i	−0.902656	−	0.0357479i
$577$	32.4501	−	3.65625i	1.35091	−	0.152212i	0.593336	−	0.804955i	$-0.297811\pi$
$577$	32.4501	−	3.65625i	1.35091	−	0.152212i	0.757579	+	0.652744i	$0.226382\pi$
$578$	−9.11612	+	14.2980i	−0.379181	+	0.594717i
$579$			4.29996i			0.178700i
$580$	−6.87019	+	0.442548i	−0.285269	+	0.0183758i
$581$		−	3.39973i		−	0.141045i
$582$	−5.76983	−	3.67874i	−0.239167	−	0.152489i
$583$	−38.2858	+	4.31378i	−1.58564	+	0.178658i
$584$	2.18679	−	4.32007i	0.0904901	−	0.178766i
$585$	3.38478	−	7.02857i	0.139944	−	0.290596i
$586$	41.7602	+	20.4511i	1.72510	+	0.844828i
$587$	0.591051	−	0.741155i	0.0243953	−	0.0305907i	−0.769484	−	0.638666i	$-0.779487\pi$
$587$	0.591051	−	0.741155i	0.0243953	−	0.0305907i	0.793879	+	0.608075i	$0.208058\pi$
$588$	−2.01151	−	2.06531i	−0.0829534	−	0.0851718i
$589$	−2.19887	−	9.63388i	−0.0906029	−	0.396957i
$590$	0.571709	+	0.923335i	0.0235369	+	0.0380131i
$591$	−0.695032	+	0.436718i	−0.0285898	+	0.0179642i
$592$	−17.8393	+	5.71858i	−0.733193	+	0.235032i
$593$	−8.03282	−	1.83344i	−0.329868	−	0.0752903i	0.0543794	−	0.998520i	$-0.482682\pi$
$593$	−8.03282	−	1.83344i	−0.329868	−	0.0752903i	−0.384248	+	0.923230i	$0.625539\pi$
$594$	−14.3577	+	4.91792i	−0.589105	+	0.201785i
$595$	−6.75407	−	2.36335i	−0.276890	−	0.0968880i
$596$	5.77055	−	11.5890i	0.236371	−	0.474704i
$597$	7.64940	+	7.64940i	0.313069	+	0.313069i
$598$	11.6502	+	4.16304i	0.476411	+	0.170240i
$599$	3.01076	−	26.7212i	0.123016	−	1.09180i	−0.768827	−	0.639457i	$-0.779159\pi$
$599$	3.01076	−	26.7212i	0.123016	−	1.09180i	0.891844	−	0.452344i	$-0.149412\pi$
$600$	4.25061	+	5.55204i	0.173531	+	0.226661i
$601$	2.24718	+	1.41200i	0.0916646	+	0.0575967i	0.577084	−	0.816685i	$-0.304190\pi$
$601$	2.24718	+	1.41200i	0.0916646	+	0.0575967i	−0.485420	+	0.874281i	$0.661333\pi$
$602$	−25.7699	−	0.170008i	−1.05030	−	0.00692901i
$603$	−23.2982	+	11.2198i	−0.948776	+	0.456906i
$604$	−28.1316	−	23.0479i	−1.14466	−	0.937807i
$605$	−0.591483	+	0.471692i	−0.0240472	+	0.0191770i
$606$	−2.83901	+	2.80180i	−0.115327	+	0.113815i
$607$	35.5861	−	12.4521i	1.44439	−	0.505416i	0.509540	−	0.860447i	$-0.329815\pi$
$607$	35.5861	−	12.4521i	1.44439	−	0.505416i	0.934854	+	0.355031i	$0.115530\pi$
$608$	7.13095	−	1.38188i	0.289198	−	0.0560428i
$609$	−5.33756	−	2.80243i	−0.216289	−	0.113560i
$610$	−1.85095	−	2.35269i	−0.0749426	−	0.0952575i
$611$	38.3308	−	13.4125i	1.55070	−	0.542613i
$612$	28.9546	+	3.64987i	1.17042	+	0.147537i
$613$	−12.7686	−	16.0114i	−0.515720	−	0.646693i	0.453974	−	0.891015i	$-0.350006\pi$
$613$	−12.7686	−	16.0114i	−0.515720	−	0.646693i	−0.969694	+	0.244322i	$0.921435\pi$
$614$	35.2373	−	7.79847i	1.42206	−	0.314721i
$615$	1.96299	−	0.945326i	0.0791554	−	0.0381192i
$616$	−19.9175	−	4.96270i	−0.802499	−	0.199953i
$617$	5.60893	−	8.92657i	0.225807	−	0.359370i	−0.714535	−	0.699599i	$-0.753362\pi$
$617$	5.60893	−	8.92657i	0.225807	−	0.359370i	0.940343	+	0.340229i	$0.110505\pi$
$618$	0.401006	−	0.496097i	0.0161308	−	0.0199559i
$619$	0.677601	−	6.01387i	0.0272351	−	0.241718i	−0.972718	−	0.231992i	$-0.925476\pi$
$619$	0.677601	−	6.01387i	0.0272351	−	0.241718i	0.999953	−	0.00972573i	$-0.00309584\pi$
$620$	9.32828	−	3.12658i	0.374633	−	0.125567i
$621$	−4.22316	+	4.22316i	−0.169469	+	0.169469i
$622$	3.89141	−	1.84248i	0.156031	−	0.0738767i
$623$	25.8385	+	9.04128i	1.03520	+	0.362231i
$624$	7.03677	−	6.67486i	0.281696	−	0.267208i
$625$	−4.23640	+	18.5609i	−0.169456	+	0.742436i
$626$	−20.4306	−	2.43857i	−0.816572	−	0.0974650i
$627$	2.04333	−	1.28391i	0.0816026	−	0.0512743i
$628$	−33.0480	−	12.0557i	−1.31876	−	0.481076i
$629$	24.5843	−	5.61121i	0.980241	−	0.223734i
$630$	0.536892	+	5.06517i	0.0213903	+	0.201801i
$631$	−4.15767	+	5.21355i	−0.165514	+	0.207548i	−0.857671	−	0.514199i	$-0.828089\pi$
$631$	−4.15767	+	5.21355i	−0.165514	+	0.207548i	0.692157	+	0.721747i	$0.256661\pi$
$632$	2.51438	+	2.08787i	0.100017	+	0.0830512i
$633$	−9.54182	−	4.59510i	−0.379253	−	0.182639i
$634$	−7.17301	−	1.68705i	−0.284877	−	0.0670015i
$635$	12.8688	−	1.44996i	0.510682	−	0.0575400i
$636$	1.17490	+	11.8282i	0.0465879	+	0.469019i
$637$	−12.0564			−0.477692
$638$	26.5160	−	1.88377i	1.04978	−	0.0745793i
$639$			2.77492i			0.109774i
$640$	2.07085	+	6.92892i	0.0818574	+	0.273890i
$641$	2.35522	+	20.9031i	0.0930255	+	0.825624i	0.950421	+	0.310966i	$0.100653\pi$
$641$	2.35522	+	20.9031i	0.0930255	+	0.825624i	−0.857395	+	0.514658i	$0.827919\pi$
$642$	13.3807	+	3.14707i	0.528093	+	0.124205i
$643$	11.8110	−	24.5257i	0.465779	−	0.967200i	−0.527292	−	0.849684i	$-0.676793\pi$
$643$	11.8110	−	24.5257i	0.465779	−	0.967200i	0.993071	−	0.117516i	$-0.0374931\pi$
$644$	−7.89825	+	1.69341i	−0.311235	+	0.0667296i
$645$	2.35835	+	1.88073i	0.0928601	+	0.0740535i
$646$	−9.72284	+	1.03059i	−0.382540	+	0.0405481i
$647$	−0.158583	−	0.694796i	−0.00623453	−	0.0273153i	0.971715	−	0.236157i	$-0.0758879\pi$
$647$	−0.158583	−	0.694796i	−0.00623453	−	0.0273153i	−0.977950	+	0.208841i	$0.933031\pi$
$648$	−5.70536	−	17.4023i	−0.224128	−	0.683627i
$649$	−2.23101	−	3.55063i	−0.0875747	−	0.139374i
$650$	29.0352	+	3.46560i	1.13885	+	0.135932i
$651$	8.39917	+	1.91706i	0.329189	+	0.0751353i
$652$	−15.4476	−	9.99304i	−0.604974	−	0.391358i
$653$	3.98267	−	11.3818i	0.155854	−	0.445405i	−0.839308	−	0.543657i	$-0.817039\pi$
$653$	3.98267	−	11.3818i	0.155854	−	0.445405i	0.995162	+	0.0982519i	$0.0313251\pi$
$654$	−1.62293	−	3.42771i	−0.0634616	−	0.134034i
$655$	6.09561	+	6.09561i	0.238175	+	0.238175i
$656$	−25.2288	+	2.17026i	−0.985021	+	0.0847342i
$657$	4.61026	+	0.519452i	0.179863	+	0.0202657i
$658$	−16.6683	+	20.6208i	−0.649797	+	0.803882i
$659$	−16.4799	−	10.3550i	−0.641965	−	0.403373i	0.171339	−	0.985212i	$-0.445191\pi$
$659$	−16.4799	−	10.3550i	−0.641965	−	0.403373i	−0.813304	+	0.581839i	$0.802333\pi$
$660$	1.47310	+	1.89805i	0.0573404	+	0.0738816i
$661$	−19.8766	−	41.2743i	−0.773112	−	1.60538i	−0.795739	−	0.605640i	$-0.792917\pi$
$661$	−19.8766	−	41.2743i	−0.773112	−	1.60538i	0.0226271	−	0.999744i	$-0.492797\pi$
$662$	−7.98684	−	36.0884i	−0.310417	−	1.40262i
$663$	−10.2072	+	8.13993i	−0.396413	+	0.316129i
$664$	3.96399	−	2.38265i	0.153833	−	0.0924646i
$665$	−0.563611	−	1.61071i	−0.0218559	−	0.0624606i
$666$	−11.0987	−	14.1072i	−0.430064	−	0.546643i
$667$	9.04531	−	5.25518i	0.350236	−	0.203481i
$668$	−16.9936	−	4.11530i	−0.657502	−	0.159226i
$669$	−2.86102	−	8.17631i	−0.110613	−	0.316114i
$670$	6.05876	+	6.13923i	0.234070	+	0.237179i
$671$	7.20682	+	9.03707i	0.278216	+	0.348872i
$672$	−1.61200	+	6.12408i	−0.0621842	+	0.236241i
$673$	−6.38619	−	13.2611i	−0.246169	−	0.511176i	0.740871	−	0.671647i	$-0.234413\pi$
$673$	−6.38619	−	13.2611i	−0.246169	−	0.511176i	−0.987041	+	0.160471i	$0.948699\pi$
$674$	−4.36854	−	0.0288199i	−0.168270	−	0.00111010i
$675$	−7.51032	+	11.9526i	−0.289072	+	0.460056i
$676$	0.192101	−	14.5588i	0.00738851	−	0.559953i
$677$	−34.5285	−	3.89043i	−1.32704	−	0.149521i	−0.580172	−	0.814494i	$-0.697015\pi$
$677$	−34.5285	−	3.89043i	−1.32704	−	0.149521i	−0.746868	+	0.664973i	$0.768443\pi$
$678$	5.10779	−	14.2940i	0.196163	−	0.548959i
$679$	13.2116	−	13.2116i	0.507015	−	0.507015i
$680$	−1.97788	−	9.53138i	−0.0758481	−	0.365512i
$681$	1.67677	−	4.79193i	0.0642539	−	0.183627i
$682$	−35.9388	+	12.3100i	−1.37617	+	0.471375i
$683$	7.89921	−	34.6087i	0.302255	−	1.32426i	−0.564460	−	0.825461i	$-0.690915\pi$
$683$	7.89921	−	34.6087i	0.302255	−	1.32426i	0.866715	−	0.498804i	$-0.166227\pi$
$684$	3.62472	+	5.94130i	0.138595	+	0.227171i
$685$	0.203948	+	0.324582i	0.00779246	+	0.0124016i
$686$	24.1923	−	14.9793i	0.923664	−	0.571913i
$687$	−1.24810	+	0.284871i	−0.0476180	+	0.0108685i
$688$	−17.8622	−	30.1662i	−0.680990	−	1.15007i
$689$	38.8631	+	30.9923i	1.48057	+	1.18071i
$690$	0.849145	+	0.415850i	0.0323264	+	0.0158311i
$691$	42.7142	+	20.5701i	1.62492	+	0.782522i	0.999998	+	0.00183691i	$0.000584707\pi$
$691$	42.7142	+	20.5701i	1.62492	+	0.782522i	0.624925	+	0.780685i	$0.285130\pi$
$692$	7.35402	+	15.8007i	0.279558	+	0.600654i
$693$	−2.20208	−	19.5440i	−0.0836501	−	0.742415i
$694$	−13.0615	+	20.4859i	−0.495806	+	0.777635i
$695$	−0.693101			−0.0262908
$696$	−0.473187	−	8.18749i	−0.0179361	−	0.310346i
$697$	34.0851			1.29107
$698$	21.1945	−	33.2420i	0.802223	−	1.25823i
$699$	−0.513004	−	4.55304i	−0.0194036	−	0.172212i
$700$	−17.3094	+	8.05617i	−0.654233	+	0.304495i
$701$	−1.94668	−	0.937471i	−0.0735251	−	0.0354078i	0.396760	−	0.917922i	$-0.370135\pi$
$701$	−1.94668	−	0.937471i	−0.0735251	−	0.0354078i	−0.470285	+	0.882515i	$0.655849\pi$
$702$	17.5850	+	8.61184i	0.663702	+	0.325033i
$703$	4.70165	+	3.74944i	0.177326	+	0.141413i
$704$	−8.17248	−	26.7013i	−0.308012	−	1.00634i
$705$	3.02579	−	0.690616i	0.113958	−	0.0260101i
$706$	33.5322	−	20.7624i	1.26200	−	0.781402i
$707$	−5.79441	−	9.22175i	−0.217921	−	0.346820i
$708$	−1.10440	+	0.673783i	−0.0415060	+	0.0253223i
$709$	1.43983	−	6.30831i	0.0540740	−	0.236914i	−0.940668	−	0.339329i	$-0.889800\pi$
$709$	1.43983	−	6.30831i	0.0540740	−	0.236914i	0.994742	+	0.102416i	$0.0326571\pi$
$710$	0.875651	−	0.299934i	0.0328626	−	0.0112563i
$711$	−1.03427	+	2.95576i	−0.0387880	+	0.110850i
$712$	7.56660	+	36.4634i	0.283570	+	1.36652i
$713$	−10.5710	+	10.5710i	−0.395886	+	0.395886i
$714$	2.86839	−	8.02711i	0.107347	−	0.300407i
$715$	9.98438	+	1.12497i	0.373395	+	0.0420715i
$716$	13.1745	+	0.173836i	0.492353	+	0.00649654i
$717$	6.66211	−	10.6027i	0.248801	−	0.395965i
$718$	−1.56534	−	0.0103268i	−0.0584179	−	0.000385391i
$719$	−19.0085	−	39.4715i	−0.708897	−	1.47204i	−0.874082	−	0.485778i	$-0.838536\pi$
$719$	−19.0085	−	39.4715i	−0.708897	−	1.47204i	0.165185	−	0.986263i	$-0.447178\pi$
$720$	−5.52957	+	4.17584i	−0.206075	+	0.155624i
$721$	1.08597	+	1.36177i	0.0404437	+	0.0507148i
$722$	17.2364	+	17.4653i	0.641473	+	0.649993i
$723$	−0.660436	−	1.88742i	−0.0245619	−	0.0701938i
$724$	2.34659	−	9.68995i	0.0872105	−	0.360124i
$725$	18.0793	−	16.8669i	0.671448	−	0.626421i
$726$	−0.557248	−	0.708302i	−0.0206814	−	0.0262876i
$727$	−17.2504	−	49.2988i	−0.639782	−	1.82839i	−0.554758	−	0.832012i	$-0.687189\pi$
$727$	−17.2504	−	49.2988i	−0.639782	−	1.82839i	−0.0850231	−	0.996379i	$-0.527096\pi$
$728$	13.6431	+	22.6979i	0.505647	+	0.841241i
$729$	9.83642	−	7.84429i	0.364312	−	0.290529i
$730$	−0.334394	−	1.51096i	−0.0123765	−	0.0559230i
$731$	20.4751	+	42.5170i	0.757299	+	1.57255i
$732$	2.81715	−	2.18642i	0.104125	−	0.0808124i
$733$	3.21702	+	2.02139i	0.118823	+	0.0746616i	0.590132	−	0.807306i	$-0.299076\pi$
$733$	3.21702	+	2.02139i	0.118823	+	0.0746616i	−0.471309	+	0.881968i	$0.656218\pi$
$734$	−28.0277	+	34.6738i	−1.03452	+	1.27984i
$735$	−0.915617	−	0.103165i	−0.0337730	−	0.00380531i
$736$	−7.50982	−	8.02234i	−0.276816	−	0.295707i
$737$	−23.5505	−	23.5505i	−0.867495	−	0.867495i
$738$	−10.3827	−	21.9288i	−0.382193	−	0.807211i
$739$	10.0921	−	28.8415i	0.371244	−	1.06095i	−0.595089	−	0.803659i	$-0.702883\pi$
$739$	10.0921	−	28.8415i	0.371244	−	1.06095i	0.966333	−	0.257294i	$-0.0828309\pi$
$740$	−3.25203	+	5.02709i	−0.119547	+	0.184800i
$741$	−3.03540	−	0.692809i	−0.111508	−	0.0254510i
$742$	−32.2267	−	3.84654i	−1.18308	−	0.141211i
$743$	−11.7333	−	18.6735i	−0.430454	−	0.685063i	0.559121	−	0.829086i	$-0.311139\pi$
$743$	−11.7333	−	18.6735i	−0.430454	−	0.685063i	−0.989574	+	0.144023i	$0.953996\pi$
$744$	3.65119	+	11.1367i	0.133859	+	0.408292i
$745$	−0.920709	−	4.03389i	−0.0337322	−	0.147790i
$746$	−24.9313	+	2.64264i	−0.912798	+	0.0967539i
$747$	3.46466	+	2.76297i	0.126765	+	0.101092i
$748$	7.87979	+	36.7523i	0.288114	+	1.34380i
$749$	−16.2847	+	33.8155i	−0.595029	+	1.23559i
$750$	4.54440	+	1.06882i	0.165938	+	0.0390277i
$751$	−0.750683	−	6.66249i	−0.0273928	−	0.243118i	−0.999946	−	0.0104353i	$-0.996678\pi$
$751$	−0.750683	−	6.66249i	−0.0273928	−	0.243118i	0.972553	−	0.232683i	$-0.0747503\pi$
$752$	−35.7250	−	4.98299i	−1.30276	−	0.181711i
$753$		−	7.58463i		−	0.276399i
$754$	−25.9088	−	22.4717i	−0.943542	−	0.818371i
$755$	−11.6231			−0.423008
$756$	−12.7219	+	1.26368i	−0.462693	+	0.0459595i
$757$	32.1303	−	3.62021i	1.16779	−	0.131579i	0.493300	−	0.869859i	$-0.335790\pi$
$757$	32.1303	−	3.62021i	1.16779	−	0.131579i	0.674494	+	0.738280i	$0.264362\pi$
$758$	22.9721	+	5.40291i	0.834384	+	0.196243i
$759$	−3.28932	−	1.58405i	−0.119395	−	0.0574975i
$760$	1.48304	−	1.78599i	0.0537957	−	0.0647848i
$761$	−6.57215	+	8.24122i	−0.238240	+	0.298744i	−0.886550	−	0.462633i	$-0.846905\pi$
$761$	−6.57215	+	8.24122i	−0.238240	+	0.298744i	0.648310	+	0.761377i	$0.275476\pi$
$762$	1.62611	+	15.3411i	0.0589078	+	0.555750i
$763$	10.0957	−	2.30427i	0.365488	−	0.0834201i
$764$	−13.3631	+	36.6318i	−0.483458	+	1.32529i
$765$	7.89753	−	4.96235i	0.285536	−	0.179414i
$766$	−36.6305	−	4.37217i	−1.32351	−	0.157973i
$767$	−1.20388	+	5.27452i	−0.0434694	+	0.190452i
$768$	−8.27025	+	2.41241i	−0.298427	+	0.0870504i
$769$	18.7572	+	6.56344i	0.676403	+	0.236684i	0.646551	−	0.762871i	$-0.276211\pi$
$769$	18.7572	+	6.56344i	0.676403	+	0.236684i	0.0298520	+	0.999554i	$0.490496\pi$
$770$	−5.92927	+	2.80735i	−0.213676	+	0.101170i
$771$	6.26542	−	6.26542i	0.225644	−	0.225644i
$772$	−5.07590	−	15.1441i	−0.182686	−	0.545049i
$773$	−4.87239	+	43.2437i	−0.175248	+	1.55537i	0.530982	+	0.847383i	$0.321823\pi$
$773$	−4.87239	+	43.2437i	−0.175248	+	1.55537i	−0.706230	+	0.707983i	$0.749605\pi$
$774$	21.1165	−	26.1239i	0.759018	−	0.939004i
$775$	−18.7990	+	29.9185i	−0.675282	+	1.07470i
$776$	24.6635	+	6.14523i	0.885368	+	0.220601i
$777$	−4.72369	+	2.27481i	−0.169462	+	0.0816084i
$778$	38.5499	−	8.53161i	1.38208	−	0.305873i
$779$	5.06810	+	6.35520i	0.181584	+	0.227699i
$780$	0.387679	−	3.07547i	0.0138811	−	0.110119i
$781$	−3.37343	+	1.18042i	−0.120711	+	0.0422386i
$782$	9.14602	+	11.6253i	0.327061	+	0.415718i
$783$	15.1571	−	6.66215i	0.541672	−	0.238086i
$784$	9.52239	+	4.89936i	0.340086	+	0.174977i
$785$	−10.6121	+	3.71334i	−0.378763	+	0.132535i
$786$	−7.30921	+	7.21340i	−0.260711	+	0.257294i
$787$	15.4797	−	12.3446i	0.551791	−	0.440039i	−0.307483	−	0.951554i	$-0.599487\pi$
$787$	15.4797	−	12.3446i	0.551791	−	0.440039i	0.859275	+	0.511515i	$0.170915\pi$
$788$	1.93233	−	2.35854i	0.0688363	−	0.0840195i
$789$	−5.45727	+	2.62808i	−0.194284	+	0.0935622i
$790$	1.04451	+	0.00689078i	0.0371619	+	0.000245163i
$791$	35.0936	+	22.0508i	1.24778	+	0.784035i
$792$	21.2445	−	16.2647i	0.754889	−	0.577939i
$793$	1.66971	−	14.8191i	0.0592932	−	0.526242i
$794$	−19.8401	−	7.08962i	−0.704100	−	0.251601i
$795$	2.68624	+	2.68624i	0.0952712	+	0.0952712i
$796$	−35.9704	−	17.9109i	−1.27494	−	0.634834i
$797$	19.3657	+	6.77636i	0.685969	+	0.240031i	0.650687	−	0.759346i	$-0.274481\pi$
$797$	19.3657	+	6.77636i	0.685969	+	0.240031i	0.0352825	+	0.999377i	$0.488767\pi$
$798$	1.92316	−	0.658735i	0.0680792	−	0.0233190i
$799$	47.3363	+	10.8042i	1.67464	+	0.382226i
$800$	−21.5243	−	14.5362i	−0.760998	−	0.513933i
$801$	−30.2129	+	18.9840i	−1.06752	+	0.670768i
$802$	3.31476	+	5.35348i	0.117048	+	0.189038i
$803$	1.32965	+	5.82560i	0.0469225	+	0.205581i
$804$	−7.36088	+	7.16916i	−0.259598	+	0.252837i
$805$	−1.60964	+	2.01842i	−0.0567323	+	0.0711401i
$806$	44.0168	+	21.5563i	1.55043	+	0.759287i
$807$	−4.83621	+	10.0425i	−0.170243	+	0.353513i
$808$	6.69139	−	13.2190i	0.235402	−	0.465044i
$809$	5.14433	−	0.579626i	0.180865	−	0.0203786i	−0.0210674	−	0.999778i	$-0.506706\pi$
$809$	5.14433	−	0.579626i	0.180865	−	0.0203786i	0.201932	+	0.979399i	$0.435278\pi$
$810$	−4.93530	−	3.14666i	−0.173409	−	0.110562i
$811$		−	34.5883i		−	1.21456i	−0.794488	−	0.607280i	$-0.792261\pi$
$811$		−	34.5883i		−	1.21456i	0.794488	−	0.607280i	$-0.207739\pi$
$812$	22.1066	+	3.56921i	0.775791	+	0.125255i
$813$		−	12.3176i		−	0.431995i
$814$	12.4287	−	19.4935i	0.435626	−	0.683247i
$815$	−5.84308	+	0.658357i	−0.204674	+	0.0230613i
$816$	11.3696	−	2.28121i	0.398017	−	0.0798584i
$817$	−4.88289	+	10.1394i	−0.170831	+	0.354734i
$818$	15.6314	−	31.9185i	0.546539	−	1.11601i
$819$	−15.8208	+	19.8387i	−0.552825	+	0.693220i
$820$	−5.79759	+	5.64659i	−0.202461	+	0.197187i
$821$	−10.1977	−	44.6791i	−0.355903	−	1.55931i	−0.763289	−	0.646057i	$-0.776417\pi$
$821$	−10.1977	−	44.6791i	−0.355903	−	1.55931i	0.407386	−	0.913256i	$-0.366440\pi$
$822$	−0.388256	+	0.240399i	−0.0135420	+	0.00838489i
$823$	−19.1469	+	12.0308i	−0.667420	+	0.419368i	−0.822679	−	0.568506i	$-0.807522\pi$
$823$	−19.1469	+	12.0308i	−0.667420	+	0.419368i	0.155259	+	0.987874i	$0.450379\pi$
$824$	−0.826696	+	2.22059i	−0.0287993	+	0.0773578i
$825$	−8.41274	−	1.92015i	−0.292894	−	0.0668511i
$826$	−1.14467	−	3.34182i	−0.0398280	−	0.116277i
$827$	−32.1903	−	11.2639i	−1.11937	−	0.391683i	−0.293731	−	0.955888i	$-0.594897\pi$
$827$	−32.1903	−	11.2639i	−1.11937	−	0.391683i	−0.825635	+	0.564205i	$0.809183\pi$
$828$	4.69318	−	9.42531i	0.163099	−	0.327552i
$829$	−10.4001	−	10.4001i	−0.361210	−	0.361210i	0.503048	−	0.864258i	$-0.332212\pi$
$829$	−10.4001	−	10.4001i	−0.361210	−	0.361210i	−0.864258	+	0.503048i	$0.832212\pi$
$830$	0.497394	−	1.39195i	0.0172648	−	0.0483151i
$831$	1.06419	−	9.44495i	0.0369163	−	0.327642i
$832$	−16.9036	+	31.8149i	−0.586027	+	1.10298i
$833$	−12.2054	−	7.66916i	−0.422892	−	0.265720i
$834$	0.00544691	−	0.825646i	0.000188611	−	0.0285898i
$835$	−5.03477	+	2.42462i	−0.174235	+	0.0839073i
$836$	−5.68085	+	6.93388i	−0.196476	+	0.239813i
$837$	−18.4986	+	14.7521i	−0.639404	+	0.509908i
$838$	37.8028	+	38.3048i	1.30587	+	1.32322i
$839$	44.9667	−	15.7345i	1.55242	−	0.543216i	0.588292	−	0.808649i	$-0.299801\pi$
$839$	44.9667	−	15.7345i	1.55242	−	0.543216i	0.964129	+	0.265433i	$0.0855148\pi$
$840$	0.841894	+	1.84052i	0.0290481	+	0.0635041i
$841$	−28.6521	+	4.47822i	−0.988005	+	0.154421i
$842$	−18.7096	+	14.7196i	−0.644777	+	0.507270i
$843$	−2.90251	+	1.01563i	−0.0999677	+	0.0349802i
$844$	39.0299	+	4.91992i	1.34346	+	0.169351i
$845$	−2.90136	−	3.63819i	−0.0998098	−	0.125158i
$846$	−7.46824	−	33.7451i	−0.256763	−	1.16018i
$847$	2.21708	−	1.06769i	0.0761799	−	0.0366863i
$848$	−18.1006	−	40.2712i	−0.621576	−	1.38292i
$849$	−3.30999	+	5.26782i	−0.113599	+	0.180791i
$850$	27.1895	+	21.9779i	0.932592	+	0.753836i
$851$	1.01863	−	9.04062i	0.0349183	−	0.309908i
$852$	0.350411	+	1.04546i	0.0120049	+	0.0358170i
$853$	−25.4989	+	25.4989i	−0.873066	+	0.873066i	−0.992805	−	0.119739i	$-0.961794\pi$
$853$	−25.4989	+	25.4989i	−0.873066	+	0.873066i	0.119739	+	0.992805i	$0.461794\pi$
$854$	4.16675	+	8.80039i	0.142583	+	0.301143i
$855$	2.09952	+	0.734652i	0.0718019	+	0.0251246i
$856$	−50.8407	+	4.71154i	−1.73770	+	0.161037i
$857$	−7.79971	+	34.1727i	−0.266433	+	1.16732i	0.647697	+	0.761898i	$0.275732\pi$
$857$	−7.79971	+	34.1727i	−0.266433	+	1.16732i	−0.914130	+	0.405421i	$0.867125\pi$
$858$	−1.41857	+	11.8849i	−0.0484291	+	0.405744i
$859$	26.8065	−	16.8436i	0.914626	−	0.574698i	0.00955332	−	0.999954i	$-0.496959\pi$
$859$	26.8065	−	16.8436i	0.914626	−	0.574698i	0.905073	+	0.425257i	$0.139816\pi$
$860$	−10.5261	−	3.83985i	−0.358936	−	0.130938i
$861$	−6.90913	+	1.57696i	−0.235463	+	0.0537428i
$862$	−33.0529	+	3.50351i	−1.12579	+	0.119330i
$863$	−33.4056	+	41.8892i	−1.13714	+	1.42593i	−0.247720	+	0.968832i	$0.579681\pi$
$863$	−33.4056	+	41.8892i	−1.13714	+	1.42593i	−0.889418	+	0.457094i	$0.848890\pi$
$864$	−10.3894	−	13.9478i	−0.353454	−	0.474514i
$865$	5.01849	+	2.41678i	0.170634	+	0.0821730i
$866$	−11.4320	+	48.6063i	−0.388474	+	1.65171i
$867$	−6.41537	+	0.722839i	−0.217878	+	0.0245489i
$868$	−31.8442	+	3.16310i	−1.08086	+	0.107363i
$869$	−4.03324			−0.136818
$870$	−1.77534	−	1.92830i	−0.0601897	−	0.0653755i
$871$			42.9698i			1.45598i
$872$	9.76209	+	10.1564i	0.330586	+	0.343938i
$873$	2.72680	+	24.2010i	0.0922881	+	0.819080i
$874$	−0.807620	+	3.43384i	−0.0273182	+	0.116151i
$875$	−5.53066	+	11.4845i	−0.186971	+	0.388248i
$876$	1.80253	−	0.386468i	0.0609018	−	0.0130575i
$877$	−36.9033	−	29.4294i	−1.24614	−	0.993760i	−0.999697	−	0.0246017i	$-0.992168\pi$
$877$	−36.9033	−	29.4294i	−1.24614	−	0.993760i	−0.246438	−	0.969158i	$-0.579260\pi$
$878$	5.00383	+	47.2073i	0.168871	+	1.59317i
$879$	3.93940	+	17.2597i	0.132873	+	0.582154i
$880$	−7.42872	−	4.94588i	−0.250422	−	0.166725i
$881$	−1.34679	−	2.14340i	−0.0453744	−	0.0722130i	0.823267	−	0.567655i	$-0.192149\pi$
$881$	−1.34679	−	2.14340i	−0.0453744	−	0.0722130i	−0.868641	+	0.495442i	$0.835006\pi$
$882$	−1.21609	+	10.1885i	−0.0409478	+	0.343065i
$883$	27.4628	+	6.26820i	0.924197	+	0.210942i	0.658036	−	0.752987i	$-0.271388\pi$
$883$	27.4628	+	6.26820i	0.924197	+	0.210942i	0.266161	+	0.963929i	$0.414245\pi$
$884$	26.3400	−	40.7173i	0.885911	−	1.36947i
$885$	−0.136561	+	0.390269i	−0.00459045	+	0.0131188i
$886$	30.8222	−	14.5935i	1.03549	−	0.490277i
$887$	40.8666	+	40.8666i	1.37217	+	1.37217i	0.857225	+	0.514942i	$0.172186\pi$
$887$	40.8666	+	40.8666i	1.37217	+	1.37217i	0.514942	+	0.857225i	$0.327814\pi$
$888$	−5.96289	−	3.91343i	−0.200101	−	0.131326i
$889$	−41.8581	−	4.71628i	−1.40388	−	0.158179i
$890$	9.25623	+	7.48202i	0.310269	+	0.250798i
$891$	19.1364	+	12.0242i	0.641093	+	0.402825i
$892$	19.7280	+	25.4191i	0.660544	+	0.851093i
$893$	5.02397	+	10.4324i	0.168121	+	0.349106i
$894$	4.81255	−	1.06508i	0.160956	−	0.0356216i
$895$	3.29226	−	2.62549i	0.110048	−	0.0877603i
$896$	−1.55185	−	23.4714i	−0.0518436	−	0.784126i
$897$	1.55570	+	4.44592i	0.0519431	+	0.148445i
$898$	−13.7671	+	10.8311i	−0.459415	+	0.361439i
$899$	37.9398	−	16.6760i	1.26536	−	0.556175i
$900$	5.85736	−	24.1872i	0.195245	−	0.806240i
$901$	19.6290	+	56.0964i	0.653936	+	1.86884i
$902$	22.2419	−	21.9503i	0.740574	−	0.730867i
$903$	−6.11742	−	7.67100i	−0.203575	−	0.255275i
$904$	−1.11581	+	56.3720i	−0.0371114	+	1.87491i
$905$	−1.38255	−	2.87089i	−0.0459574	−	0.0954315i
$906$	0.0913432	−	13.8459i	0.00303467	−	0.459998i
$907$	−8.20321	+	13.0553i	−0.272383	+	0.433495i	−0.954704	−	0.297558i	$-0.903828\pi$
$907$	−8.20321	+	13.0553i	−0.272383	+	0.433495i	0.682321	+	0.731053i	$0.260971\pi$
$908$	−0.248805	+	18.8562i	−0.00825688	+	0.625764i
$909$	14.1070	+	1.58948i	0.467899	+	0.0527196i
$910$	7.97031	+	2.84809i	0.264213	+	0.0944132i
$911$	−30.0770	+	30.0770i	−0.996495	+	0.996495i	−0.999994	−	0.00349921i	$-0.998886\pi$
$911$	−30.0770	+	30.0770i	−0.996495	+	0.996495i	0.00349921	+	0.999994i	$0.498886\pi$
$912$	2.11588	+	1.78069i	0.0700639	+	0.0589645i
$913$	−1.88509	+	5.38727i	−0.0623872	+	0.178293i
$914$	−2.45726	−	7.17392i	−0.0812790	−	0.237292i
$915$	0.253611	−	1.11114i	0.00838412	−	0.0367332i
$916$	4.05944	−	2.47662i	0.134128	−	0.0818297i
$917$	−14.9181	−	23.7420i	−0.492638	−	0.784030i
$918$	12.3242	+	19.9042i	0.406760	+	0.656936i
$919$	−14.9040	+	3.40174i	−0.491638	+	0.112213i	−0.461150	−	0.887322i	$-0.652563\pi$
$919$	−14.9040	+	3.40174i	−0.491638	+	0.112213i	−0.0304874	+	0.999535i	$0.509706\pi$
$920$	−3.48152	−	0.462216i	−0.114782	−	0.0152388i
$921$	10.7427	+	8.56705i	0.353985	+	0.282294i
$922$	−2.50125	+	5.10744i	−0.0823744	+	0.168205i
$923$	4.15442	+	2.00066i	0.136744	+	0.0658527i
$924$	−3.29761	−	7.08521i	−0.108484	−	0.233086i
$925$	−2.40761	−	21.3681i	−0.0791618	−	0.702580i
$926$	27.4681	+	17.5132i	0.902659	+	0.575519i
$927$	−2.27034			−0.0745679
$928$	11.3315	+	28.2772i	0.371974	+	0.928243i
$929$	−42.2095			−1.38485			−0.692424	−	0.721491i	$-0.743457\pi$
$929$	−42.2095			−1.38485			−0.692424	+	0.721491i	$0.743457\pi$
$930$	3.15838	+	2.01373i	0.103567	+	0.0660327i
$931$	−0.384894	−	3.41603i	−0.0126144	−	0.111956i
$932$	7.18141	+	15.4299i	0.235235	+	0.505423i
$933$	1.47691	+	0.711243i	0.0483519	+	0.0232851i
$934$	2.47358	−	5.05093i	0.0809380	−	0.165271i
$935$	9.39217	+	7.49000i	0.307157	+	0.244949i
$936$	−34.2191	−	4.54303i	−1.11849	−	0.148494i
$937$	53.3505	−	12.1769i	1.74288	−	0.397802i	0.771672	−	0.636021i	$-0.219421\pi$
$937$	53.3505	−	12.1769i	1.74288	−	0.397802i	0.971212	+	0.238219i	$0.0765635\pi$
$938$	−14.7696	−	23.8536i	−0.482246	−	0.778849i
$939$	−4.16780	−	6.63301i	−0.136011	−	0.216460i
$940$	−9.84136	+	6.00410i	−0.320990	+	0.195832i
$941$	0.894111	−	3.91736i	0.0291472	−	0.127702i	−0.958261	−	0.285894i	$-0.907709\pi$
$941$	0.894111	−	3.91736i	0.0291472	−	0.127702i	0.987408	+	0.158192i	$0.0505665\pi$
$942$	−4.34006	−	12.6707i	−0.141407	−	0.412834i
$943$	4.06161	−	11.6074i	0.132264	−	0.377989i
$944$	3.09425	−	3.67671i	0.100709	−	0.119667i
$945$	−2.88921	+	2.88921i	−0.0939862	+	0.0939862i
$946$	40.7411	+	14.5583i	1.32461	+	0.473332i
$947$	−30.4968	−	3.43616i	−0.991013	−	0.111660i	−0.398455	−	0.917188i	$-0.630453\pi$
$947$	−30.4968	−	3.43616i	−0.991013	−	0.111660i	−0.592558	+	0.805528i	$0.701882\pi$
$948$	−0.0164171	+	1.24420i	−0.000533201	+	0.0404097i
$949$	4.10160	−	6.52765i	0.133143	−	0.211897i
$950$	−0.0550030	+	8.33739i	−0.00178453	+	0.270501i
$951$	−1.21726	−	2.52766i	−0.0394722	−	0.0819650i
$952$	−0.626608	+	31.6569i	−0.0203085	+	1.02601i
$953$	−0.456853	−	0.572875i	−0.0147989	−	0.0185572i	0.774377	−	0.632725i	$-0.218063\pi$
$953$	−0.456853	−	0.572875i	−0.0147989	−	0.0185572i	−0.789176	+	0.614167i	$0.789492\pi$
$954$	30.1107	−	29.7160i	0.974869	−	0.962091i
$955$	4.11602	+	11.7629i	0.133191	+	0.380639i
$956$	−10.9475	+	45.2062i	−0.354067	+	1.46207i
$957$	6.90409	+	7.40035i	0.223177	+	0.239219i
$958$	5.60214	−	4.40741i	0.180997	−	0.142397i
$959$	−0.411818	−	1.17691i	−0.0132983	−	0.0380044i
$960$	−1.55597	+	2.27153i	−0.0502188	+	0.0733132i
$961$	−22.0669	+	17.5978i	−0.711835	+	0.567670i
$962$	−29.1223	+	6.44514i	−0.938939	+	0.207800i
$963$	−21.2266	−	44.0775i	−0.684018	−	1.42038i
$964$	4.55401	+	5.86773i	0.146675	+	0.188987i
$965$	−4.32230	−	2.71588i	−0.139140	−	0.0874272i
$966$	−2.39177	−	1.93332i	−0.0769538	−	0.0622036i
$967$	20.8159	+	2.34539i	0.669395	+	0.0754227i	0.440120	−	0.897939i	$-0.354936\pi$
$967$	20.8159	+	2.34539i	0.669395	+	0.0754227i	0.229275	+	0.973362i	$0.426364\pi$
$968$	2.79870	+	1.83678i	0.0899537	+	0.0590365i
$969$	−2.63221	−	2.63221i	−0.0845587	−	0.0845587i
$970$	7.34211	−	3.47629i	0.235741	−	0.111617i
$971$	−4.67424	+	13.3582i	−0.150003	+	0.428685i	−0.994226	−	0.107308i	$-0.965777\pi$
$971$	−4.67424	+	13.3582i	−0.150003	+	0.428685i	0.844222	+	0.535993i	$0.180063\pi$
$972$	13.8068	−	21.3430i	0.442853	−	0.684578i
$973$	2.19792	+	0.501661i	0.0704621	+	0.0160825i
$974$	2.21990	−	18.5985i	0.0711301	−	0.595935i
$975$	5.92311	+	9.42658i	0.189691	+	0.301892i
$976$	−7.34081	+	11.0259i	−0.234974	+	0.352931i
$977$	1.17114	+	5.13112i	0.0374682	+	0.164159i	0.990201	−	0.139651i	$-0.0445982\pi$
$977$	1.17114	+	5.13112i	0.0374682	+	0.164159i	−0.952733	+	0.303810i	$0.901741\pi$
$978$	−0.738338	−	6.96565i	−0.0236095	−	0.222737i
$979$	−35.9308	−	28.6539i	−1.14835	−	0.915782i
$980$	3.34652	−	0.717503i	0.106901	−	0.0229198i
$981$	−5.85650	+	12.1611i	−0.186983	+	0.388275i
$982$	5.86932	−	24.9552i	0.187298	−	0.796351i
$983$	2.56767	+	22.7887i	0.0818958	+	0.726845i	0.965820	+	0.259215i	$0.0834637\pi$
$983$	2.56767	+	22.7887i	0.0818958	+	0.726845i	−0.883924	+	0.467631i	$0.845108\pi$
$984$	−6.68085	−	6.95067i	−0.212978	−	0.221579i
$985$		−	0.974476i		−	0.0310494i
$986$	−11.9346	−	39.2301i	−0.380074	−	1.24934i
$987$	−10.0950			−0.321329
$988$	11.5083	−	1.14312i	0.366127	−	0.0363675i
$989$	16.9186	−	1.90627i	0.537981	−	0.0606159i
$990$	1.95777	−	8.32403i	0.0622220	−	0.264555i
$991$	−39.4917	−	19.0182i	−1.25450	−	0.604133i	−0.315782	−	0.948832i	$-0.602267\pi$
$991$	−39.4917	−	19.0182i	−1.25450	−	0.604133i	−0.938713	+	0.344698i	$0.887981\pi$
$992$	−26.0056	−	34.9127i	−0.825679	−	1.10848i
$993$	8.77397	−	11.0022i	0.278434	−	0.349145i
$994$	−2.99390	+	0.317344i	−0.0949607	+	0.0100656i
$995$	−12.5206	+	2.85773i	−0.396928	+	0.0905963i
$996$	1.65422	+	0.603452i	0.0524161	+	0.0191211i
$997$	32.5021	−	20.4224i	1.02935	−	0.646784i	0.0922121	−	0.995739i	$-0.470606\pi$
$997$	32.5021	−	20.4224i	1.02935	−	0.646784i	0.937140	+	0.348955i	$0.113463\pi$
$998$	6.32111	−	52.9589i	0.200091	−	1.67639i
$999$	3.20408	−	14.0380i	0.101373	−	0.444143i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.v.a.11.5	✓	336
4.3	odd	2		928.2.bn.a.591.16		336
8.3	odd	2	inner	232.2.v.a.11.12	yes	336
8.5	even	2		928.2.bn.a.591.15		336
29.8	odd	28	inner	232.2.v.a.211.12	yes	336
116.95	even	28		928.2.bn.a.559.15		336
232.37	odd	28		928.2.bn.a.559.16		336
232.211	even	28	inner	232.2.v.a.211.5	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.v.a.11.5	✓	336	1.1	even	1	trivial
232.2.v.a.11.12	yes	336	8.3	odd	2	inner
232.2.v.a.211.5	yes	336	232.211	even	28	inner
232.2.v.a.211.12	yes	336	29.8	odd	28	inner
928.2.bn.a.559.15		336	116.95	even	28
928.2.bn.a.559.16		336	232.37	odd	28
928.2.bn.a.591.15		336	8.5	even	2
928.2.bn.a.591.16		336	4.3	odd	2

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:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.v (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.19246 - 0.760290i) q^{2} +(-0.0602852 - 0.535046i) q^{3} +(0.843918 + 1.81323i) q^{4} +(0.575902 + 0.277340i) q^{5} +(-0.334903 + 0.683855i) q^{6} +(-1.62553 - 1.29632i) q^{7} +(0.372244 - 2.80383i) q^{8} +(2.64214 - 0.603052i) q^{9} +O(q^{10})\)	\(q+(-1.19246 - 0.760290i) q^{2} +(-0.0602852 - 0.535046i) q^{3} +(0.843918 + 1.81323i) q^{4} +(0.575902 + 0.277340i) q^{5} +(-0.334903 + 0.683855i) q^{6} +(-1.62553 - 1.29632i) q^{7} +(0.372244 - 2.80383i) q^{8} +(2.64214 - 0.603052i) q^{9} +(-0.475881 - 0.768570i) q^{10} +(1.85706 + 2.95549i) q^{11} +(0.919286 - 0.560846i) q^{12} +(1.00209 - 4.39043i) q^{13} +(0.952801 + 2.78168i) q^{14} +(0.113671 - 0.324854i) q^{15} +(-2.57561 + 3.06043i) q^{16} +(3.80725 - 3.80725i) q^{17} +(-3.60914 - 1.28968i) q^{18} +(1.27596 + 0.143767i) q^{19} +(-0.0168669 + 1.27830i) q^{20} +(-0.595594 + 0.947883i) q^{21} +(0.0325648 - 4.93620i) q^{22} +(-0.842853 - 1.75020i) q^{23} +(-1.52262 - 0.0301383i) q^{24} +(-2.86270 - 3.58972i) q^{25} +(-4.53295 + 4.47353i) q^{26} +(-1.01544 - 2.90196i) q^{27} +(0.978707 - 4.04144i) q^{28} +(0.417045 + 5.36899i) q^{29} +(-0.382532 + 0.300952i) q^{30} +(-2.54175 - 7.26389i) q^{31} +(5.39812 - 1.69123i) q^{32} +(1.46937 - 1.17178i) q^{33} +(-7.43461 + 1.64538i) q^{34} +(-0.576626 - 1.19738i) q^{35} +(3.32322 + 4.28189i) q^{36} +(3.96553 + 2.49171i) q^{37} +(-1.41223 - 1.14154i) q^{38} +(-2.40949 - 0.271485i) q^{39} +(0.991989 - 1.51149i) q^{40} +(4.47634 + 4.47634i) q^{41} +(1.43089 - 0.677487i) q^{42} +(-2.89472 + 8.27264i) q^{43} +(-3.79178 + 5.86146i) q^{44} +(1.68887 + 0.385473i) q^{45} +(-0.325594 + 2.72786i) q^{46} +(4.79771 + 7.63550i) q^{47} +(1.79275 + 1.19357i) q^{48} +(-0.595736 - 2.61009i) q^{49} +(0.684431 + 6.45707i) q^{50} +(-2.26658 - 1.80753i) q^{51} +(8.80653 - 1.88815i) q^{52} +(-4.78921 + 9.94489i) q^{53} +(-0.995463 + 4.23250i) q^{54} +(0.249808 + 2.21711i) q^{55} +(-4.23974 + 4.07516i) q^{56} -0.691367i q^{57} +(3.58468 - 6.71938i) q^{58} -1.20137 q^{59} +(0.684964 - 0.0680378i) q^{60} +(3.29070 - 0.370772i) q^{61} +(-2.49174 + 10.5944i) q^{62} +(-5.07663 - 2.44478i) q^{63} +(-7.72287 - 2.08741i) q^{64} +(1.79475 - 2.25054i) q^{65} +(-2.64306 + 0.280156i) q^{66} +(-9.30253 + 2.12324i) q^{67} +(10.1164 + 3.69041i) q^{68} +(-0.885628 + 0.556477i) q^{69} +(-0.222751 + 1.86623i) q^{70} +(-0.227844 + 0.998250i) q^{71} +(-0.707331 - 7.63259i) q^{72} +(1.61584 + 0.565408i) q^{73} +(-2.83431 - 5.98621i) q^{74} +(-1.74809 + 1.74809i) q^{75} +(0.816126 + 2.43494i) q^{76} +(0.812548 - 7.21157i) q^{77} +(2.66682 + 2.15565i) q^{78} +(-0.614759 + 0.978384i) q^{79} +(-2.33208 + 1.04819i) q^{80} +(5.83365 - 2.80934i) q^{81} +(-1.93454 - 8.74118i) q^{82} +(1.01951 + 1.27843i) q^{83} +(-2.22136 - 0.280014i) q^{84} +(3.24851 - 1.13670i) q^{85} +(9.74145 - 7.66396i) q^{86} +(2.84752 - 0.546809i) q^{87} +(8.97795 - 4.10670i) q^{88} +(-12.4275 + 4.34859i) q^{89} +(-1.72083 - 1.74369i) q^{90} +(-7.32031 + 5.83775i) q^{91} +(2.46222 - 3.00531i) q^{92} +(-3.73329 + 1.79786i) q^{93} +(0.0841313 - 12.7527i) q^{94} +(0.694958 + 0.436671i) q^{95} +(-1.23032 - 2.78629i) q^{96} +(-1.00616 + 8.92996i) q^{97} +(-1.27404 + 3.56536i) q^{98} +(6.68892 + 6.68892i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9}+O(q^{10}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9	\( 336 q - 14 q^{2} - 24 q^{3} - 14 q^{4} - 14 q^{6} - 8 q^{8} - 28 q^{9} - 8 q^{10} - 32 q^{11} - 24 q^{12} - 14 q^{14} + 10 q^{16} - 28 q^{17} - 20 q^{18} - 24 q^{19} + 6 q^{20} - 14 q^{22} + 2 q^{24} - 52 q^{25} + 8 q^{26} - 60 q^{27} - 8 q^{30} - 4 q^{32} - 28 q^{33} - 14 q^{34} - 28 q^{35} - 38 q^{36} - 14 q^{38} - 20 q^{41} - 14 q^{42} - 16 q^{43} + 42 q^{44} - 56 q^{46} + 32 q^{48} + 12 q^{49} - 78 q^{50} - 28 q^{51} + 74 q^{52} - 124 q^{54} + 36 q^{56} - 158 q^{58} - 48 q^{59} + 200 q^{60} - 112 q^{62} + 112 q^{64} + 20 q^{65} - 136 q^{66} - 28 q^{67} + 60 q^{68} - 182 q^{70} + 48 q^{72} - 4 q^{73} - 16 q^{74} + 64 q^{75} - 10 q^{76} + 50 q^{78} - 14 q^{80} - 28 q^{81} + 10 q^{82} - 20 q^{83} - 36 q^{84} - 80 q^{88} - 28 q^{89} - 28 q^{90} - 28 q^{91} - 14 q^{92} - 106 q^{94} + 28 q^{96} - 32 q^{97} + 12 q^{98} - 32 q^{99}+O(q^{100}) \) 336 * q - 14 * q^2 - 24 * q^3 - 14 * q^4 - 14 * q^6 - 8 * q^8 - 28 * q^9 - 8 * q^10 - 32 * q^11 - 24 * q^12 - 14 * q^14 + 10 * q^16 - 28 * q^17 - 20 * q^18 - 24 * q^19 + 6 * q^20 - 14 * q^22 + 2 * q^24 - 52 * q^25 + 8 * q^26 - 60 * q^27 - 8 * q^30 - 4 * q^32 - 28 * q^33 - 14 * q^34 - 28 * q^35 - 38 * q^36 - 14 * q^38 - 20 * q^41 - 14 * q^42 - 16 * q^43 + 42 * q^44 - 56 * q^46 + 32 * q^48 + 12 * q^49 - 78 * q^50 - 28 * q^51 + 74 * q^52 - 124 * q^54 + 36 * q^56 - 158 * q^58 - 48 * q^59 + 200 * q^60 - 112 * q^62 + 112 * q^64 + 20 * q^65 - 136 * q^66 - 28 * q^67 + 60 * q^68 - 182 * q^70 + 48 * q^72 - 4 * q^73 - 16 * q^74 + 64 * q^75 - 10 * q^76 + 50 * q^78 - 14 * q^80 - 28 * q^81 + 10 * q^82 - 20 * q^83 - 36 * q^84 - 80 * q^88 - 28 * q^89 - 28 * q^90 - 28 * q^91 - 14 * q^92 - 106 * q^94 + 28 * q^96 - 32 * q^97 + 12 * q^98 - 32 * q^99

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