LMFDB - Embedded newform 232.2.v.a.11.11

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			11.11
Character	$\chi$	$=$	232.11
Dual form			232.2.v.a.211.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587361 - 1.28647i) q^{2} +(-0.143318 - 1.27198i) q^{3} +(-1.31001 + 1.51125i) q^{4} +(2.93790 + 1.41482i) q^{5} +(-1.55219 + 0.931489i) q^{6} +(2.05563 + 1.63931i) q^{7} +(2.71362 + 0.797649i) q^{8} +(1.32738 - 0.302965i) q^{9} +O(q^{10})$	\(q+(-0.587361 - 1.28647i) q^{2} +(-0.143318 - 1.27198i) q^{3} +(-1.31001 + 1.51125i) q^{4} +(2.93790 + 1.41482i) q^{5} +(-1.55219 + 0.931489i) q^{6} +(2.05563 + 1.63931i) q^{7} +(2.71362 + 0.797649i) q^{8} +(1.32738 - 0.302965i) q^{9} +(0.0945148 - 4.61054i) q^{10} +(-0.595508 - 0.947746i) q^{11} +(2.11003 + 1.44973i) q^{12} +(-0.439279 + 1.92460i) q^{13} +(0.901530 - 3.60738i) q^{14} +(1.37857 - 3.93974i) q^{15} +(-0.567725 - 3.95951i) q^{16} +(-1.10364 + 1.10364i) q^{17} +(-1.16941 - 1.52968i) q^{18} +(-5.21887 - 0.588026i) q^{19} +(-5.98683 + 2.58646i) q^{20} +(1.79057 - 2.84968i) q^{21} +(-0.869469 + 1.32277i) q^{22} +(-1.49235 - 3.09890i) q^{23} +(0.625685 - 3.56601i) q^{24} +(3.51211 + 4.40405i) q^{25} +(2.73396 - 0.565319i) q^{26} +(-1.84391 - 5.26959i) q^{27} +(-5.17031 + 0.959043i) q^{28} +(5.02249 - 1.94284i) q^{29} +(-5.87808 + 0.540553i) q^{30} +(1.33744 + 3.82218i) q^{31} +(-4.76033 + 3.05602i) q^{32} +(-1.12017 + 0.893307i) q^{33} +(2.06803 + 0.771562i) q^{34} +(3.71992 + 7.72449i) q^{35} +(-1.28103 + 2.40288i) q^{36} +(-9.43818 - 5.93040i) q^{37} +(2.30888 + 7.05931i) q^{38} +(2.51103 + 0.282925i) q^{39} +(6.84383 + 6.18270i) q^{40} +(5.66020 + 5.66020i) q^{41} +(-4.71774 - 0.629728i) q^{42} +(3.71911 - 10.6286i) q^{43} +(2.21240 + 0.341602i) q^{44} +(4.32835 + 0.987918i) q^{45} +(-3.11009 + 3.74004i) q^{46} +(2.88192 + 4.58655i) q^{47} +(-4.95507 + 1.28961i) q^{48} +(-0.0193650 - 0.0848438i) q^{49} +(3.60280 - 7.10499i) q^{50} +(1.56198 + 1.24564i) q^{51} +(-2.33309 - 3.18512i) q^{52} +(-2.87781 + 5.97584i) q^{53} +(-5.69614 + 5.46729i) q^{54} +(-0.408656 - 3.62692i) q^{55} +(4.27062 + 6.08815i) q^{56} +6.72260i q^{57} +(-5.44942 - 5.32013i) q^{58} -12.2317 q^{59} +(4.14796 + 7.24448i) q^{60} +(-4.75358 + 0.535600i) q^{61} +(4.13157 - 3.96558i) q^{62} +(3.22526 + 1.55320i) q^{63} +(6.72751 + 4.32904i) q^{64} +(-4.01353 + 5.03280i) q^{65} +(1.80716 + 0.916374i) q^{66} +(2.51135 - 0.573199i) q^{67} +(-0.222086 - 3.11364i) q^{68} +(-3.72787 + 2.34238i) q^{69} +(7.75240 - 9.32263i) q^{70} +(-0.174881 + 0.766203i) q^{71} +(3.84367 + 0.236648i) q^{72} +(-4.03476 - 1.41182i) q^{73} +(-2.08567 + 15.6252i) q^{74} +(5.09853 - 5.09853i) q^{75} +(7.72545 - 7.11668i) q^{76} +(0.329506 - 2.92444i) q^{77} +(-1.11090 - 3.39654i) q^{78} +(-4.55156 + 7.24376i) q^{79} +(3.93407 - 12.4359i) q^{80} +(-2.75853 + 1.32844i) q^{81} +(3.95711 - 10.6063i) q^{82} +(1.41614 + 1.77579i) q^{83} +(1.96089 + 6.43911i) q^{84} +(-4.80382 + 1.68093i) q^{85} +(-15.8578 + 1.45830i) q^{86} +(-3.19108 - 6.11008i) q^{87} +(-0.860017 - 3.04683i) q^{88} +(-12.6096 + 4.41229i) q^{89} +(-1.27138 - 6.14856i) q^{90} +(-4.05803 + 3.23617i) q^{91} +(6.63820 + 1.80429i) q^{92} +(4.67008 - 2.24899i) q^{93} +(4.20773 - 6.40146i) q^{94} +(-14.5006 - 9.11133i) q^{95} +(4.56945 + 5.61708i) q^{96} +(1.45555 - 12.9184i) q^{97} +(-0.0977748 + 0.0747465i) q^{98} +(-1.07760 - 1.07760i) 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 $

$2$	−0.587361	−	1.28647i	−0.415327	−	0.909672i
$2$	−0.587361	−	1.28647i	−0.415327	−	0.909672i
$3$	−0.143318	−	1.27198i	−0.0827448	−	0.734381i	−0.964755	−	0.263150i	$-0.915239\pi$
$3$	−0.143318	−	1.27198i	−0.0827448	−	0.734381i	0.882010	−	0.471231i	$-0.156190\pi$
$4$	−1.31001	+	1.51125i	−0.655007	+	0.755623i
$5$	2.93790	+	1.41482i	1.31387	+	0.632726i	0.953868	−	0.300225i	$-0.0970618\pi$
$5$	2.93790	+	1.41482i	1.31387	+	0.632726i	0.360002	+	0.932952i	$0.382776\pi$
$6$	−1.55219	+	0.931489i	−0.633680	+	0.380279i
$7$	2.05563	+	1.63931i	0.776956	+	0.619602i	0.929554	−	0.368686i	$-0.120192\pi$
$7$	2.05563	+	1.63931i	0.776956	+	0.619602i	−0.152598	+	0.988288i	$0.548764\pi$
$8$	2.71362	+	0.797649i	0.959411	+	0.282011i
$9$	1.32738	−	0.302965i	0.442459	−	0.100988i
$10$	0.0945148	−	4.61054i	0.0298882	−	1.45798i
$11$	−0.595508	−	0.947746i	−0.179553	−	0.285756i	0.744806	−	0.667281i	$-0.232542\pi$
$11$	−0.595508	−	0.947746i	−0.179553	−	0.285756i	−0.924359	+	0.381525i	$0.875399\pi$
$12$	2.11003	+	1.44973i	0.609113	+	0.418501i
$13$	−0.439279	+	1.92460i	−0.121834	+	0.533789i	0.876767	+	0.480915i	$0.159695\pi$
$13$	−0.439279	+	1.92460i	−0.121834	+	0.533789i	−0.998601	+	0.0528744i	$0.983162\pi$
$14$	0.901530	−	3.60738i	0.240944	−	0.964113i
$15$	1.37857	−	3.93974i	0.355946	−	1.01724i
$16$	−0.567725	−	3.95951i	−0.141931	−	0.989877i
$17$	−1.10364	+	1.10364i	−0.267671	+	0.267671i	−0.828161	−	0.560490i	$-0.810613\pi$
$17$	−1.10364	+	1.10364i	−0.267671	+	0.267671i	0.560490	+	0.828161i	$0.310613\pi$
$18$	−1.16941	−	1.52968i	−0.275632	−	0.360550i
$19$	−5.21887	−	0.588026i	−1.19729	−	0.134902i	−0.509279	−	0.860601i	$-0.670088\pi$
$19$	−5.21887	−	0.588026i	−1.19729	−	0.134902i	−0.688012	+	0.725699i	$0.741517\pi$
$20$	−5.98683	+	2.58646i	−1.33870	+	0.578350i
$21$	1.79057	−	2.84968i	0.390735	−	0.621851i
$22$	−0.869469	+	1.32277i	−0.185372	+	0.282016i
$23$	−1.49235	−	3.09890i	−0.311177	−	0.646165i	0.685460	−	0.728110i	$-0.259601\pi$
$23$	−1.49235	−	3.09890i	−0.311177	−	0.646165i	−0.996637	+	0.0819451i	$0.973887\pi$
$24$	0.625685	−	3.56601i	0.127718	−	0.727908i
$25$	3.51211	+	4.40405i	0.702422	+	0.880809i
$26$	2.73396	−	0.565319i	0.536174	−	0.110868i
$27$	−1.84391	−	5.26959i	−0.354861	−	1.01413i
$28$	−5.17031	+	0.959043i	−0.977097	+	0.181242i
$29$	5.02249	−	1.94284i	0.932652	−	0.360777i
$29$	5.02249	−	1.94284i	0.932652	−	0.360777i
$30$	−5.87808	+	0.540553i	−1.07319	+	0.0986910i
$31$	1.33744	+	3.82218i	0.240211	+	0.686484i	0.999367	+	0.0355751i	$0.0113263\pi$
$31$	1.33744	+	3.82218i	0.240211	+	0.686484i	−0.759156	+	0.650909i	$0.774388\pi$
$32$	−4.76033	+	3.05602i	−0.841515	+	0.540233i
$33$	−1.12017	+	0.893307i	−0.194997	+	0.155505i
$34$	2.06803	+	0.771562i	0.354664	+	0.132322i
$35$	3.71992	+	7.72449i	0.628781	+	1.30568i
$36$	−1.28103	+	2.40288i	−0.213505	+	0.400481i
$37$	−9.43818	−	5.93040i	−1.55163	−	0.974952i	−0.988946	−	0.148279i	$-0.952627\pi$
$37$	−9.43818	−	5.93040i	−1.55163	−	0.974952i	−0.562682	−	0.826673i	$-0.690231\pi$
$38$	2.30888	+	7.05931i	0.374550	+	1.14517i
$39$	2.51103	+	0.282925i	0.402086	+	0.0453042i
$40$	6.84383	+	6.18270i	1.08211	+	0.977571i
$41$	5.66020	+	5.66020i	0.883975	+	0.883975i	0.993936	−	0.109960i	$-0.0350724\pi$
$41$	5.66020	+	5.66020i	0.883975	+	0.883975i	−0.109960	+	0.993936i	$0.535072\pi$
$42$	−4.71774	−	0.629728i	−0.727963	−	0.0971692i
$43$	3.71911	−	10.6286i	0.567159	−	1.62085i	−0.200290	−	0.979737i	$-0.564189\pi$
$43$	3.71911	−	10.6286i	0.567159	−	1.62085i	0.767449	−	0.641110i	$-0.221526\pi$
$44$	2.21240	+	0.341602i	0.333532	+	0.0514984i
$45$	4.32835	+	0.987918i	0.645232	+	0.147270i
$46$	−3.11009	+	3.74004i	−0.458558	+	0.551438i
$47$	2.88192	+	4.58655i	0.420371	+	0.669017i	0.988033	−	0.154245i	$-0.0492946\pi$
$47$	2.88192	+	4.58655i	0.420371	+	0.669017i	−0.567661	+	0.823262i	$0.692152\pi$
$48$	−4.95507	+	1.28961i	−0.715202	+	0.186139i
$49$	−0.0193650	−	0.0848438i	−0.00276644	−	0.0121205i
$50$	3.60280	−	7.10499i	0.509513	−	1.00480i
$51$	1.56198	+	1.24564i	0.218721	+	0.174424i
$52$	−2.33309	−	3.18512i	−0.323541	−	0.441696i
$53$	−2.87781	+	5.97584i	−0.395298	+	0.820845i	0.604410	+	0.796674i	$0.293409\pi$
$53$	−2.87781	+	5.97584i	−0.395298	+	0.820845i	−0.999708	+	0.0241711i	$0.992305\pi$
$54$	−5.69614	+	5.46729i	−0.775146	+	0.744004i
$55$	−0.408656	−	3.62692i	−0.0551032	−	0.489054i
$56$	4.27062	+	6.08815i	0.570686	+	0.813564i
$57$			6.72260i			0.890431i
$58$	−5.44942	−	5.32013i	−0.715544	−	0.698568i
$59$	−12.2317			−1.59243			−0.796217	−	0.605011i	$-0.793169\pi$
$59$	−12.2317			−1.59243			−0.796217	+	0.605011i	$0.793169\pi$
$60$	4.14796	+	7.24448i	0.535499	+	0.935258i
$61$	−4.75358	+	0.535600i	−0.608634	+	0.0685766i	−0.410902	−	0.911680i	$-0.634786\pi$
$61$	−4.75358	+	0.535600i	−0.608634	+	0.0685766i	−0.197732	+	0.980256i	$0.563358\pi$
$62$	4.13157	−	3.96558i	0.524709	−	0.503629i
$63$	3.22526	+	1.55320i	0.406344	+	0.195685i
$64$	6.72751	+	4.32904i	0.840939	+	0.541130i
$65$	−4.01353	+	5.03280i	−0.497817	+	0.624242i
$66$	1.80716	+	0.916374i	0.222446	+	0.112798i
$67$	2.51135	−	0.573199i	0.306810	−	0.0700274i	−0.0663439	−	0.997797i	$-0.521133\pi$
$67$	2.51135	−	0.573199i	0.306810	−	0.0700274i	0.373154	+	0.927769i	$0.378276\pi$
$68$	−0.222086	−	3.11364i	−0.0269318	−	0.377585i
$69$	−3.72787	+	2.34238i	−0.448783	+	0.281989i
$70$	7.75240	−	9.32263i	0.926589	−	1.11427i
$71$	−0.174881	+	0.766203i	−0.0207545	+	0.0909315i	−0.984244	−	0.176813i	$-0.943421\pi$
$71$	−0.174881	+	0.766203i	−0.0207545	+	0.0909315i	0.963490	+	0.267745i	$0.0862783\pi$
$72$	3.84367	+	0.236648i	0.452980	+	0.0278892i
$73$	−4.03476	−	1.41182i	−0.472233	−	0.165242i	0.0836614	−	0.996494i	$-0.473339\pi$
$73$	−4.03476	−	1.41182i	−0.472233	−	0.165242i	−0.555895	+	0.831253i	$0.687624\pi$
$74$	−2.08567	+	15.6252i	−0.242454	+	1.81640i
$75$	5.09853	−	5.09853i	0.588728	−	0.588728i
$76$	7.72545	−	7.11668i	0.886170	−	0.816339i
$77$	0.329506	−	2.92444i	0.0375506	−	0.333271i
$78$	−1.11090	−	3.39654i	−0.125785	−	0.384582i
$79$	−4.55156	+	7.24376i	−0.512090	+	0.814987i	−0.998265	−	0.0588744i	$-0.981249\pi$
$79$	−4.55156	+	7.24376i	−0.512090	+	0.814987i	0.486175	+	0.873861i	$0.338392\pi$
$80$	3.93407	−	12.4359i	0.439842	−	1.39037i
$81$	−2.75853	+	1.32844i	−0.306503	+	0.147604i
$82$	3.95711	−	10.6063i	0.436989	−	1.17127i
$83$	1.41614	+	1.77579i	0.155442	+	0.194918i	0.853454	−	0.521168i	$-0.174503\pi$
$83$	1.41614	+	1.77579i	0.155442	+	0.194918i	−0.698012	+	0.716086i	$0.745932\pi$
$84$	1.96089	+	6.43911i	0.213950	+	0.702565i
$85$	−4.80382	+	1.68093i	−0.521047	+	0.182322i
$86$	−15.8578	+	1.45830i	−1.71000	+	0.157253i
$87$	−3.19108	−	6.11008i	−0.342120	−	0.655069i
$88$	−0.860017	−	3.04683i	−0.0916781	−	0.324794i
$89$	−12.6096	+	4.41229i	−1.33662	+	0.467702i	−0.901542	−	0.432692i	$-0.857564\pi$
$89$	−12.6096	+	4.41229i	−1.33662	+	0.467702i	−0.435075	+	0.900394i	$0.643278\pi$
$90$	−1.27138	−	6.14856i	−0.134015	−	0.648115i
$91$	−4.05803	+	3.23617i	−0.425397	+	0.339242i
$92$	6.63820	+	1.80429i	0.692080	+	0.188111i
$93$	4.67008	−	2.24899i	0.484264	−	0.233209i
$94$	4.20773	−	6.40146i	0.433995	−	0.660261i
$95$	−14.5006	−	9.11133i	−1.48773	−	0.934802i
$96$	4.56945	+	5.61708i	0.466368	+	0.573291i
$97$	1.45555	−	12.9184i	0.147789	−	1.31166i	−0.672664	−	0.739948i	$-0.734850\pi$
$97$	1.45555	−	12.9184i	0.147789	−	1.31166i	0.820453	−	0.571714i	$-0.193721\pi$
$98$	−0.0977748	+	0.0747465i	−0.00987675	+	0.00755054i
$99$	−1.07760	−	1.07760i	−0.108303	−	0.108303i
$100$	−11.2565	−	0.461705i	−1.12565	−	0.0461705i
$101$	9.43734	+	3.30227i	0.939050	+	0.328588i	0.756042	−	0.654523i	$-0.227131\pi$
$101$	9.43734	+	3.30227i	0.939050	+	0.328588i	0.183009	+	0.983111i	$0.441416\pi$
$102$	0.685030	−	2.74108i	0.0678281	−	0.271407i
$103$	−6.82339	−	1.55739i	−0.672329	−	0.153455i	−0.127290	−	0.991866i	$-0.540628\pi$
$103$	−6.82339	−	1.55739i	−0.672329	−	0.153455i	−0.545039	+	0.838411i	$0.683485\pi$
$104$	−2.72720	+	4.87226i	−0.267424	+	0.477765i
$105$	9.29230	−	5.83874i	0.906836	−	0.569803i
$106$	9.37806	+	0.192248i	0.910877	+	0.0186727i
$107$	0.486402	+	2.13107i	0.0470222	+	0.206018i	0.992982	−	0.118266i	$-0.0377337\pi$
$107$	0.486402	+	2.13107i	0.0470222	+	0.206018i	−0.945960	+	0.324284i	$0.894877\pi$
$108$	10.3792	+	4.11664i	0.998738	+	0.396124i
$109$	−6.81421	+	8.54475i	−0.652683	+	0.818438i	−0.992525	−	0.122044i	$-0.961055\pi$
$109$	−6.81421	+	8.54475i	−0.652683	+	0.818438i	0.339842	+	0.940483i	$0.389626\pi$
$110$	−4.42590	+	2.65604i	−0.421993	+	0.253243i
$111$	−6.19072	+	12.8552i	−0.587597	+	1.22016i
$112$	5.32384	−	9.06997i	0.503055	−	0.857032i
$113$	17.4347	−	1.96441i	1.64011	−	0.184797i	0.756823	−	0.653620i	$-0.226751\pi$
$113$	17.4347	−	1.96441i	1.64011	−	0.184797i	0.883292	+	0.468823i	$0.155322\pi$
$114$	8.64843	−	3.94859i	0.810000	−	0.369820i
$115$		−	11.2157i		−	1.04587i
$116$	−3.64342	+	10.1354i	−0.338283	+	0.941044i
$117$			2.68777i			0.248484i
$118$	7.18443	+	15.7357i	0.661381	+	1.44859i
$119$	−4.07787	+	0.459466i	−0.373818	+	0.0421192i
$120$	6.88346	−	9.59135i	0.628371	−	0.875566i
$121$	4.22913	−	8.78188i	0.384466	−	0.798352i
$122$	3.48110	+	5.80075i	0.315164	+	0.525176i
$123$	6.38848	−	8.01091i	0.576030	−	0.722319i
$124$	−7.52832	−	2.98591i	−0.676063	−	0.268143i
$125$	0.459296	+	2.01231i	0.0410807	+	0.179986i
$126$	0.103759	−	5.06149i	0.00924361	−	0.450913i
$127$	−1.45406	+	0.913648i	−0.129027	+	0.0810732i	−0.594999	−	0.803726i	$-0.702848\pi$
$127$	−1.45406	+	0.913648i	−0.129027	+	0.0810732i	0.465972	+	0.884800i	$0.345705\pi$
$128$	1.61770	−	11.1975i	0.142986	−	0.989725i
$129$	−14.0524	−	3.20738i	−1.23725	−	0.282394i
$130$	8.83194	+	2.20721i	0.774613	+	0.193585i
$131$	14.7995	+	5.17858i	1.29304	+	0.452455i	0.887156	−	0.461469i	$-0.152678\pi$
$131$	14.7995	+	5.17858i	1.29304	+	0.452455i	0.405885	+	0.913924i	$0.366963\pi$
$132$	0.117435	−	2.86310i	0.0102214	−	0.249201i
$133$	−9.76413	−	9.76413i	−0.846658	−	0.846658i
$134$	−2.21247	−	2.89410i	−0.191128	−	0.250012i
$135$	2.03829	−	18.0903i	0.175428	−	1.55697i
$136$	−3.87517	+	2.11454i	−0.332293	+	0.181320i
$137$	−10.5019	−	6.59876i	−0.897236	−	0.563771i	0.00260144	−	0.999997i	$-0.499172\pi$
$137$	−10.5019	−	6.59876i	−0.897236	−	0.563771i	−0.899837	+	0.436226i	$0.856315\pi$
$138$	5.20300	+	3.41998i	0.442909	+	0.291128i
$139$	−4.47133	+	2.15328i	−0.379253	+	0.182639i	−0.613791	−	0.789468i	$-0.710356\pi$
$139$	−4.47133	+	2.15328i	−0.379253	+	0.182639i	0.234538	+	0.972107i	$0.424642\pi$
$140$	−16.5467	−	4.49748i	−1.39846	−	0.380107i
$141$	5.42099	−	4.32309i	0.456530	−	0.364070i
$142$	1.08842	−	0.225058i	0.0913378	−	0.0188865i
$143$	2.08563	−	0.729794i	0.174409	−	0.0610284i
$144$	−1.95318	−	5.08376i	−0.162765	−	0.423647i
$145$	17.5043	+	1.39803i	1.45366	+	0.116100i
$146$	0.553591	+	6.01986i	0.0458155	+	0.498207i
$147$	−0.105145	+	0.0367917i	−0.00867219	+	0.00303453i
$148$	21.3265	−	6.49450i	1.75302	−	0.533844i
$149$	−0.453519	−	0.568695i	−0.0371537	−	0.0465893i	0.762908	−	0.646508i	$-0.223771\pi$
$149$	−0.453519	−	0.568695i	−0.0371537	−	0.0465893i	−0.800061	+	0.599918i	$0.795200\pi$
$150$	−9.55379	−	3.56443i	−0.780064	−	0.291035i
$151$	18.3838	−	8.85317i	1.49605	−	0.720460i	0.506180	−	0.862428i	$-0.331057\pi$
$151$	18.3838	−	8.85317i	1.49605	−	0.720460i	0.989871	+	0.141967i	$0.0453428\pi$
$152$	−13.6930	−	5.75851i	−1.11065	−	0.467077i
$153$	−1.13058	+	1.79931i	−0.0914018	+	0.145465i
$154$	−3.95575	+	1.29380i	−0.318763	+	0.104258i
$155$	−1.47843	+	13.1214i	−0.118750	+	1.05394i
$156$	−3.71705	+	3.42414i	−0.297602	+	0.274151i
$157$	1.38382	−	1.38382i	0.110441	−	0.110441i	−0.649727	−	0.760168i	$-0.725117\pi$
$157$	1.38382	−	1.38382i	0.110441	−	0.110441i	0.760168	+	0.649727i	$0.225117\pi$
$158$	11.9923	+	1.60074i	0.954056	+	0.127348i
$159$	8.01362	+	2.80409i	0.635521	+	0.222379i
$160$	−18.3091	+	2.24328i	−1.44746	+	0.177347i
$161$	2.01234	−	8.81663i	0.158594	−	0.694848i
$162$	3.32925	+	2.76849i	0.261570	+	0.217513i
$163$	−12.1018	+	7.60406i	−0.947885	+	0.595596i	−0.914822	−	0.403857i	$-0.867669\pi$
$163$	−12.1018	+	7.60406i	−0.947885	+	0.595596i	−0.0330634	+	0.999453i	$0.510526\pi$
$164$	−15.9689	+	1.13901i	−1.24696	+	0.0889416i
$165$	−4.55482	+	1.03961i	−0.354592	+	0.0809334i
$166$	1.45271	−	2.86486i	0.112752	−	0.222356i
$167$	−5.18140	+	6.49727i	−0.400949	+	0.502774i	−0.940789	−	0.338994i	$-0.889913\pi$
$167$	−5.18140	+	6.49727i	−0.400949	+	0.502774i	0.539840	+	0.841768i	$0.318485\pi$
$168$	7.13198	−	6.30471i	0.550244	−	0.486419i
$169$	8.20146	+	3.94961i	0.630881	+	0.303816i
$170$	4.98404	+	5.19266i	0.382258	+	0.398259i
$171$	−7.10557	+	0.800606i	−0.543377	+	0.0612238i
$172$	11.1903	+	19.5441i	0.853255	+	1.49022i
$173$	3.67724			0.279575			0.139788	−	0.990181i	$-0.455358\pi$
$173$	3.67724			0.279575			0.139788	+	0.990181i	$0.455358\pi$
$174$	−5.98613	+	7.69405i	−0.453807	+	0.583285i
$175$			14.8105i			1.11957i
$176$	−3.41452	+	2.89598i	−0.257379	+	0.218293i
$177$	1.75303	+	15.5586i	0.131766	+	1.16945i
$178$	13.0827	+	13.6303i	0.980588	+	1.02163i
$179$	−7.06252	+	14.6655i	−0.527878	+	1.09615i	0.451155	+	0.892446i	$0.351012\pi$
$179$	−7.06252	+	14.6655i	−0.527878	+	1.09615i	−0.979033	+	0.203703i	$0.934702\pi$
$180$	−7.16319	+	5.24701i	−0.533912	+	0.391089i
$181$	−2.02774	−	1.61707i	−0.150721	−	0.120196i	0.545226	−	0.838289i	$-0.316444\pi$
$181$	−2.02774	−	1.61707i	−0.150721	−	0.120196i	−0.695947	+	0.718093i	$0.745015\pi$
$182$	6.54676	+	3.31973i	0.485278	+	0.246075i
$183$	1.36255	+	5.96972i	0.100723	+	0.441295i
$184$	−1.57785	−	9.59962i	−0.116320	−	0.707693i
$185$	−19.3380	−	30.7763i	−1.42176	−	2.26272i
$186$	−5.63628	−	4.68695i	−0.413272	−	0.343664i
$187$	1.70319	+	0.388742i	0.124550	+	0.0284276i
$188$	−10.7068	−	1.65316i	−0.780870	−	0.120569i
$189$	4.84811	−	13.8551i	0.352648	−	1.00781i
$190$	−3.20437	+	24.0062i	−0.232470	+	1.74159i
$191$	18.8476	+	18.8476i	1.36377	+	1.36377i	0.869061	+	0.494705i	$0.164724\pi$
$191$	18.8476	+	18.8476i	1.36377	+	1.36377i	0.494705	+	0.869061i	$0.335276\pi$
$192$	4.54230	−	9.17772i	0.327812	−	0.662345i
$193$	−23.6287	−	2.66232i	−1.70083	−	0.191638i	−0.792497	−	0.609876i	$-0.791219\pi$
$193$	−23.6287	−	2.66232i	−1.70083	−	0.191638i	−0.908337	+	0.418238i	$0.862648\pi$
$194$	−17.4741	+	5.71522i	−1.25456	+	0.410329i
$195$	6.97686	+	4.38385i	0.499623	+	0.313934i
$196$	0.153588	+	0.0818813i	0.0109706	+	0.00584866i
$197$	−8.58525	−	17.8274i	−0.611673	−	1.27015i	−0.944916	−	0.327312i	$-0.893857\pi$
$197$	−8.58525	−	17.8274i	−0.611673	−	1.27015i	0.333243	−	0.942841i	$-0.391857\pi$
$198$	−0.753360	+	2.01924i	−0.0535390	+	0.143501i
$199$	−6.40898	+	5.11099i	−0.454320	+	0.362308i	−0.823753	−	0.566949i	$-0.808124\pi$
$199$	−6.40898	+	5.11099i	−0.454320	+	0.362308i	0.369432	+	0.929258i	$0.379552\pi$
$200$	6.01766	+	14.7524i	0.425513	+	1.04315i
$201$	−1.08902	−	3.11225i	−0.0768137	−	0.219521i
$202$	−1.29485	−	14.0805i	−0.0911055	−	0.990699i
$203$	13.5093	+	4.23965i	0.948168	+	0.297565i
$204$	−3.92868	+	0.728731i	−0.275062	+	0.0510214i
$205$	8.62096	+	24.6373i	0.602114	+	1.72074i
$206$	2.00425	+	9.69285i	0.139643	+	0.675333i
$207$	−2.91977	−	3.66128i	−0.202938	−	0.254477i
$208$	7.86987	+	0.646681i	0.545678	+	0.0448392i
$209$	2.55058	+	5.29634i	0.176428	+	0.366356i
$210$	−12.9693	−	8.52483i	−0.894967	−	0.588269i
$211$	−8.87863	+	14.1303i	−0.611230	+	0.972767i	0.387474	+	0.921881i	$0.373348\pi$
$211$	−8.87863	+	14.1303i	−0.611230	+	0.972767i	−0.998704	+	0.0508868i	$0.983795\pi$
$212$	−5.26098	−	12.1775i	−0.361326	−	0.836355i
$213$	0.999662	+	0.112635i	0.0684957	+	0.00771761i
$214$	2.45586	−	1.87745i	0.167879	−	0.128340i
$215$	25.9639	−	25.9639i	1.77073	−	1.77073i
$216$	−0.800394	−	15.7705i	−0.0544599	−	1.07305i
$217$	−3.51647	+	10.0495i	−0.238713	+	0.682203i
$218$	14.9950	+	3.74743i	1.01559	+	0.253808i
$219$	−1.21756	+	5.33450i	−0.0822754	+	0.360472i
$220$	6.01651	+	4.13374i	0.405633	+	0.278697i
$221$	−1.63926	−	2.60887i	−0.110268	−	0.175491i
$222$	20.1740	+	0.413561i	1.35399	+	0.0277564i
$223$	−17.7743	+	4.05688i	−1.19026	+	0.271669i	−0.771380	−	0.636374i	$-0.780433\pi$
$223$	−17.7743	+	4.05688i	−1.19026	+	0.271669i	−0.418877	+	0.908043i	$0.637576\pi$
$224$	−14.7953	−	1.52161i	−0.988550	−	0.101667i
$225$	5.99617	+	4.78179i	0.399745	+	0.318786i
$226$	−12.7676	−	21.2754i	−0.849288	−	1.41522i
$227$	19.9348	+	9.60007i	1.32312	+	0.637179i	0.956101	−	0.293036i	$-0.0946656\pi$
$227$	19.9348	+	9.60007i	1.32312	+	0.637179i	0.367015	+	0.930215i	$0.380380\pi$
$228$	−10.1595	−	8.80671i	−0.672830	−	0.583238i
$229$	0.486059	+	4.31389i	0.0321197	+	0.285070i	0.999497	+	0.0317282i	$0.0101011\pi$
$229$	0.486059	+	4.31389i	0.0321197	+	0.285070i	−0.967377	+	0.253342i	$0.918470\pi$
$230$	−14.4286	+	6.58765i	−0.951396	+	0.434376i
$231$	−3.76707			−0.247855
$232$	15.1788	−	1.26596i	0.996540	−	0.0831145i
$233$	21.9237			1.43627			0.718136	−	0.695903i	$-0.244995\pi$
$233$	21.9237			1.43627			0.718136	+	0.695903i	$0.244995\pi$
$234$	3.45773	−	1.57869i	0.226039	−	0.103202i
$235$	1.97766	+	17.5522i	0.129008	+	1.14498i
$236$	16.0237	−	18.4851i	1.04306	−	1.20328i
$237$	9.86628	+	4.75135i	0.640884	+	0.308633i
$238$	2.98627	+	4.97619i	0.193571	+	0.322559i
$239$	−0.124046	−	0.0989235i	−0.00802388	−	0.00639883i	0.619470	−	0.785021i	$-0.287348\pi$
$239$	−0.124046	−	0.0989235i	−0.00802388	−	0.00639883i	−0.627494	+	0.778622i	$0.715919\pi$
$240$	−16.3821	−	3.22179i	−1.05746	−	0.207965i
$241$	−2.37595	+	0.542294i	−0.153048	+	0.0349322i	−0.298358	−	0.954454i	$-0.596439\pi$
$241$	−2.37595	+	0.542294i	−0.153048	+	0.0349322i	0.145310	+	0.989386i	$0.453582\pi$
$242$	−13.7817	−	0.282520i	−0.885918	−	0.0181611i
$243$	−6.82572	−	10.8631i	−0.437870	−	0.696866i
$244$	5.41784	−	7.88547i	0.346842	−	0.504816i
$245$	0.0631460	−	0.276661i	0.00403425	−	0.0176752i
$246$	−14.0581	−	3.51331i	−0.896314	−	0.224000i
$247$	3.42426	−	9.78596i	0.217880	−	0.622666i
$248$	0.580548	+	11.4388i	0.0368648	+	0.726363i
$249$	2.05582	−	2.05582i	0.130282	−	0.130282i
$250$	2.31900	−	1.77282i	0.146667	−	0.112123i
$251$	9.82129	+	1.10659i	0.619914	+	0.0698476i	0.416336	−	0.909211i	$-0.363314\pi$
$251$	9.82129	+	1.10659i	0.619914	+	0.0698476i	0.203579	+	0.979059i	$0.434743\pi$
$252$	−6.57240	+	2.83944i	−0.414023	+	0.178868i
$253$	−2.04826	+	3.25979i	−0.128773	+	0.204941i
$254$	2.02944	+	1.33397i	0.127338	+	0.0837006i
$255$	2.82659	+	5.86948i	0.177008	+	0.367561i
$256$	−15.3554	+	4.49582i	−0.959711	+	0.280989i
$257$	−14.0298	−	17.5928i	−0.875152	−	1.09741i	−0.994519	−	0.104556i	$-0.966658\pi$
$257$	−14.0298	−	17.5928i	−0.875152	−	1.09741i	0.119367	−	0.992850i	$-0.461914\pi$
$258$	4.12765	+	19.9619i	0.256977	+	1.24278i
$259$	−9.67966	−	27.6629i	−0.601465	−	1.71889i
$260$	−2.34802	−	12.6585i	−0.145618	−	0.785045i
$261$	6.07812	−	4.10053i	0.376226	−	0.253816i
$262$	−2.03057	−	22.0809i	−0.125449	−	1.36416i
$263$	−6.06920	−	17.3448i	−0.374243	−	1.06952i	−0.964904	−	0.262604i	$-0.915419\pi$
$263$	−6.06920	−	17.3448i	−0.374243	−	1.06952i	0.590661	−	0.806920i	$-0.298867\pi$
$264$	−3.75227	+	1.53060i	−0.230936	+	0.0942017i
$265$	−16.9095	+	13.4848i	−1.03874	+	0.828368i
$266$	−6.82620	+	18.2963i	−0.418541	+	1.12182i
$267$	7.41956	+	15.4069i	0.454070	+	0.942885i
$268$	−2.42366	+	4.54616i	−0.148049	+	0.277701i
$269$	−4.91186	−	3.08633i	−0.299482	−	0.188177i	0.373906	−	0.927467i	$-0.378018\pi$
$269$	−4.91186	−	3.08633i	−0.299482	−	0.188177i	−0.673387	+	0.739290i	$0.735161\pi$
$270$	−24.4699	+	8.00336i	−1.48919	+	0.487069i
$271$	1.00204	+	0.112903i	0.0608699	+	0.00685839i	0.142347	−	0.989817i	$-0.454535\pi$
$271$	1.00204	+	0.112903i	0.0608699	+	0.00685839i	−0.0814770	+	0.996675i	$0.525964\pi$
$272$	4.99641	+	3.74329i	0.302952	+	0.226970i
$273$	4.69794	+	4.69794i	0.284333	+	0.284333i
$274$	−2.32073	+	17.3862i	−0.140200	+	1.05034i
$275$	2.08243	−	5.95123i	0.125575	−	0.358873i
$276$	1.34366	−	8.70227i	0.0808788	−	0.523815i
$277$	31.5860	+	7.20930i	1.89782	+	0.433165i	0.999974	−	0.00714565i	$-0.00227455\pi$
$277$	31.5860	+	7.20930i	1.89782	+	0.433165i	0.897845	+	0.440311i	$0.145132\pi$
$278$	5.39641	+	4.48748i	0.323655	+	0.269141i
$279$	2.93328	+	4.66828i	0.175611	+	0.279483i
$280$	3.93303	+	23.9286i	0.235043	+	1.43000i
$281$	−5.73541	−	25.1285i	−0.342146	−	1.49904i	−0.794535	−	0.607218i	$-0.792286\pi$
$281$	−5.73541	−	25.1285i	−0.342146	−	1.49904i	0.452390	−	0.891820i	$-0.350572\pi$
$282$	−8.74561	−	4.43473i	−0.520794	−	0.264084i
$283$	6.88561	+	5.49109i	0.409307	+	0.326411i	0.806404	−	0.591365i	$-0.201411\pi$
$283$	6.88561	+	5.49109i	0.409307	+	0.326411i	−0.397097	+	0.917777i	$0.629982\pi$
$284$	−0.928824	−	1.26802i	−0.0551155	−	0.0752434i
$285$	−9.51127	+	19.7504i	−0.563399	+	1.16991i
$286$	−2.16388	−	2.25445i	−0.127953	−	0.133308i
$287$	2.35646	+	20.9142i	0.139097	+	1.23452i
$288$	−5.39289	+	5.49871i	−0.317779	+	0.324015i
$289$			14.5640i			0.856705i
$290$	−8.48284	−	23.3400i	−0.498130	−	1.37057i
$291$	−16.6406			−0.975489
$292$	7.41921	−	4.24801i	0.434177	−	0.248596i
$293$	16.9658	−	1.91159i	0.991153	−	0.111676i	0.398529	−	0.917156i	$-0.369521\pi$
$293$	16.9658	−	1.91159i	0.991153	−	0.111676i	0.592624	+	0.805480i	$0.298092\pi$
$294$	0.109089	+	0.113656i	0.00636222	+	0.00662853i
$295$	−35.9356	−	17.3057i	−2.09225	−	1.00758i
$296$	−20.8813	−	23.6212i	−1.21370	−	1.37296i
$297$	−3.89617	+	4.88564i	−0.226079	+	0.283494i
$298$	−0.465230	+	0.917468i	−0.0269500	+	0.0531475i
$299$	6.61971	−	1.51091i	0.382828	−	0.0873780i
$300$	1.02598	+	14.3843i	0.0592351	+	0.830477i
$301$	25.0687	−	15.7517i	1.44494	−	0.907914i
$302$	−22.1873	−	18.4502i	−1.27673	−	1.06169i
$303$	2.84789	−	12.4774i	0.163607	−	0.716810i
$304$	0.634591	+	20.9980i	0.0363963	+	1.20432i
$305$	−14.7233	−	5.15192i	−0.843056	−	0.294998i
$306$	2.97881	+	0.397615i	0.170287	+	0.0227301i
$307$	17.0693	−	17.0693i	0.974197	−	0.974197i	−0.0254786	−	0.999675i	$-0.508111\pi$
$307$	17.0693	−	17.0693i	0.974197	−	0.974197i	0.999675	+	0.0254786i	$0.00811095\pi$
$308$	3.98789	+	4.32903i	0.227231	+	0.246669i
$309$	−1.00307	+	8.90245i	−0.0570624	+	0.506443i
$310$	17.7487	−	5.80506i	1.00806	−	0.329705i
$311$	−3.29722	+	5.24749i	−0.186968	+	0.297558i	−0.927035	−	0.374976i	$-0.877651\pi$
$311$	−3.29722	+	5.24749i	−0.186968	+	0.297558i	0.740067	+	0.672534i	$0.234794\pi$
$312$	6.58830	+	2.77067i	0.372989	+	0.156858i
$313$	23.1696	−	11.1579i	1.30962	−	0.630682i	0.356793	−	0.934183i	$-0.383870\pi$
$313$	23.1696	−	11.1579i	1.30962	−	0.630682i	0.952831	+	0.303502i	$0.0981557\pi$
$314$	−2.59305	−	0.967445i	−0.146334	−	0.0545961i
$315$	7.27799	+	9.12632i	0.410068	+	0.514210i
$316$	−4.98450	−	16.3680i	−0.280400	−	0.920769i
$317$	−5.21752	+	1.82569i	−0.293045	+	0.102541i	−0.472798	−	0.881171i	$-0.656756\pi$
$317$	−5.21752	+	1.82569i	−0.293045	+	0.102541i	0.179753	+	0.983712i	$0.442470\pi$
$318$	−1.09951	−	11.9563i	−0.0616575	−	0.670476i
$319$	−4.83225	−	3.60306i	−0.270554	−	0.201733i
$320$	13.6400	+	22.2365i	0.762497	+	1.24306i
$321$	2.64097	−	0.924116i	0.147405	−	0.0515791i
$322$	−12.5243	+	2.58973i	−0.697952	+	0.144320i
$323$	6.40870	−	5.11077i	0.356590	−	0.284371i
$324$	1.60612	−	5.90909i	0.0892288	−	0.328283i
$325$	−10.0188	+	4.82482i	−0.555745	+	0.267633i
$326$	16.8905	+	11.1023i	0.935479	+	0.614898i
$327$	11.8454	+	7.44295i	0.655052	+	0.411596i
$328$	10.8448	+	19.8745i	0.598805	+	1.09739i
$329$	−1.59462	+	14.1526i	−0.0879142	+	0.780260i
$330$	4.01275	+	5.24902i	0.220895	+	0.288949i
$331$	2.28384	+	2.28384i	0.125531	+	0.125531i	0.767081	−	0.641550i	$-0.221708\pi$
$331$	2.28384	+	2.28384i	0.125531	+	0.125531i	−0.641550	+	0.767081i	$0.721708\pi$
$332$	−4.53882	−	0.186167i	−0.249100	−	0.0102173i
$333$	−14.3247	−	5.01245i	−0.784991	−	0.274680i
$334$	11.4019	+	2.84948i	0.623885	+	0.155917i
$335$	8.18907	+	1.86910i	0.447417	+	0.102120i
$336$	−12.2999	−	5.47195i	−0.671013	−	0.298519i
$337$	−4.74041	+	2.97860i	−0.258226	+	0.162254i	−0.654924	−	0.755695i	$-0.727299\pi$
$337$	−4.74041	+	2.97860i	−0.258226	+	0.162254i	0.396697	+	0.917950i	$0.370156\pi$
$338$	0.263848	−	12.8708i	0.0143514	−	0.700078i
$339$	−4.99741	−	21.8951i	−0.271422	−	1.18918i
$340$	3.75278	−	9.46179i	0.203523	−	0.513138i
$341$	2.82600	−	3.54369i	0.153037	−	0.191902i
$342$	5.20349	+	8.67087i	0.281373	+	0.468867i
$343$	8.08481	−	16.7883i	0.436539	−	0.906482i
$344$	18.5702	−	25.8755i	1.00124	−	1.39511i
$345$	−14.2662	+	1.60741i	−0.768064	+	0.0865401i
$346$	−2.15987	−	4.73066i	−0.116115	−	0.254322i
$347$		−	20.7509i		−	1.11397i	−0.830523	−	0.556984i	$-0.811959\pi$
$347$		−	20.7509i		−	1.11397i	0.830523	−	0.556984i	$-0.188041\pi$
$348$	13.4142	+	3.18179i	0.719076	+	0.170562i
$349$		−	31.5019i		−	1.68626i	−0.537711	−	0.843129i	$-0.680711\pi$
$349$		−	31.5019i		−	1.68626i	0.537711	−	0.843129i	$-0.319289\pi$
$350$	19.0533	−	8.69914i	1.01844	−	0.464988i
$351$	10.9519	−	1.23398i	0.584568	−	0.0658650i
$352$	5.73115	+	2.69170i	0.305471	+	0.143468i
$353$	3.87152	−	8.03929i	0.206060	−	0.427888i	−0.772169	−	0.635418i	$-0.780828\pi$
$353$	3.87152	−	8.03929i	0.206060	−	0.427888i	0.978229	+	0.207530i	$0.0665423\pi$
$354$	18.9860	−	11.3937i	1.00909	−	0.605569i
$355$	−1.59782	+	2.00360i	−0.0848035	+	0.106340i
$356$	9.85072	−	24.8364i	0.522087	−	1.31633i
$357$	1.16887	+	5.12114i	0.0618630	+	0.271040i
$358$	23.0150	+	0.471800i	1.21638	+	0.0249354i
$359$	17.2477	−	10.8375i	0.910300	−	0.571979i	0.00652077	−	0.999979i	$-0.497924\pi$
$359$	17.2477	−	10.8375i	0.910300	−	0.571979i	0.903779	+	0.428000i	$0.140782\pi$
$360$	10.9575	+	6.13334i	0.577511	+	0.323255i
$361$	8.36724	+	1.90977i	0.440381	+	0.100514i
$362$	−0.889297	+	3.55843i	−0.0467404	+	0.187027i
$363$	−11.7765	−	4.12078i	−0.618107	−	0.216285i
$364$	0.425429	−	10.3721i	0.0222985	−	0.543646i
$365$	−9.85627	−	9.85627i	−0.515901	−	0.515901i
$366$	6.87957	−	5.25926i	0.359601	−	0.274906i
$367$	−3.30705	+	29.3509i	−0.172627	+	1.53211i	0.546638	+	0.837369i	$0.315907\pi$
$367$	−3.30705	+	29.3509i	−0.172627	+	1.53211i	−0.719265	+	0.694736i	$0.755521\pi$
$368$	−11.4229	+	7.66829i	−0.595458	+	0.399737i
$369$	9.22808	+	5.79839i	0.480395	+	0.301852i
$370$	−28.2344	+	42.9546i	−1.46784	+	2.23310i
$371$	−15.7120	+	7.56650i	−0.815726	+	0.392833i
$372$	−2.71909	+	10.0038i	−0.140978	+	0.518675i
$373$	−11.5444	+	9.20638i	−0.597748	+	0.476688i	−0.875009	−	0.484106i	$-0.839145\pi$
$373$	−11.5444	+	9.20638i	−0.597748	+	0.476688i	0.277261	+	0.960795i	$0.410573\pi$
$374$	−0.500282	−	2.41944i	−0.0258690	−	0.125106i
$375$	2.49380	−	0.872618i	0.128779	−	0.0450618i
$376$	4.16199	+	14.7449i	0.214638	+	0.760412i
$377$	1.53293	+	10.5198i	0.0789501	+	0.541795i
$378$	−20.6718	+	1.90099i	−1.06324	+	0.0977765i
$379$	4.88229	−	1.70839i	0.250786	−	0.0877539i	−0.201958	−	0.979394i	$-0.564731\pi$
$379$	4.88229	−	1.70839i	0.250786	−	0.0877539i	0.452745	+	0.891640i	$0.350445\pi$
$380$	32.7654	−	9.97798i	1.68083	−	0.511860i
$381$	1.37054	+	1.71860i	0.0702149	+	0.0880467i
$382$	13.1766	−	35.3173i	0.674171	−	1.80699i
$383$	−10.6607	+	5.13391i	−0.544735	+	0.262331i	−0.685950	−	0.727648i	$-0.740613\pi$
$383$	−10.6607	+	5.13391i	−0.544735	+	0.262331i	0.141215	+	0.989979i	$0.454899\pi$
$384$	−14.4748	−	0.452896i	−0.738666	−	0.0231118i
$385$	5.10561	−	8.12554i	0.260206	−	0.414116i
$386$	10.4536	+	31.9614i	0.532074	+	1.62679i
$387$	1.71657	−	15.2349i	0.0872579	−	0.774435i
$388$	17.6160	+	19.1230i	0.894319	+	0.970821i
$389$	−12.7647	+	12.7647i	−0.647195	+	0.647195i	−0.952314	−	0.305119i	$-0.901304\pi$
$389$	−12.7647	+	12.7647i	−0.647195	+	0.647195i	0.305119	+	0.952314i	$0.401304\pi$
$390$	1.54176	−	11.5504i	0.0780702	−	0.584879i
$391$	5.06707	+	1.77304i	0.256252	+	0.0896666i
$392$	0.0151261	−	0.245681i	0.000763985	−	0.0124088i
$393$	4.46603	−	19.5670i	0.225282	−	0.987023i
$394$	−17.8919	+	21.5158i	−0.901378	+	1.08395i
$395$	−23.6207	+	14.8418i	−1.18848	+	0.746774i
$396$	3.04019	−	0.216846i	0.152775	−	0.0108969i
$397$	−8.27426	+	1.88855i	−0.415273	+	0.0947834i	−0.425052	−	0.905169i	$-0.639744\pi$
$397$	−8.27426	+	1.88855i	−0.415273	+	0.0947834i	0.00977906	+	0.999952i	$0.496887\pi$
$398$	10.3395	+	5.24297i	0.518273	+	0.262806i
$399$	−11.0205	+	13.8192i	−0.551713	+	0.691826i
$400$	15.4439	−	16.4065i	0.772197	−	0.820325i
$401$	10.4062	+	5.01135i	0.519660	+	0.250255i	0.675279	−	0.737562i	$-0.264023\pi$
$401$	10.4062	+	5.01135i	0.519660	+	0.250255i	−0.155619	+	0.987817i	$0.549737\pi$
$402$	−3.36417	+	3.22901i	−0.167789	+	0.161048i
$403$	−7.94370	+	0.895040i	−0.395704	+	0.0445851i
$404$	−17.3536	+	9.93612i	−0.863373	+	0.494340i
$405$	−9.98379			−0.496098
$406$	−2.48065	−	19.8695i	−0.123113	−	0.986109i
$407$			12.4766i			0.618442i
$408$	3.24504	+	4.62610i	0.160654	+	0.229026i
$409$	2.40744	+	21.3666i	0.119040	+	1.05651i	0.901191	+	0.433421i	$0.142694\pi$
$409$	2.40744	+	21.3666i	0.119040	+	1.05651i	−0.782151	+	0.623089i	$0.785878\pi$
$410$	26.6315	−	25.5616i	1.31524	−	1.26240i
$411$	−6.88842	+	14.3039i	−0.339781	+	0.705562i
$412$	11.2923	−	8.27161i	0.556334	−	0.407513i
$413$	−25.1439	−	20.0516i	−1.23725	−	0.986675i
$414$	−2.99517	+	5.90670i	−0.147205	+	0.290298i
$415$	1.64807	+	7.22068i	0.0809008	+	0.354449i
$416$	−3.79052	−	10.5042i	−0.185846	−	0.515011i
$417$	3.37976	+	5.37886i	0.165508	+	0.263404i
$418$	5.31548	−	6.39212i	0.259988	−	0.312649i
$419$	11.9598	+	2.72974i	0.584272	+	0.133356i	0.504432	−	0.863451i	$-0.331702\pi$
$419$	11.9598	+	2.72974i	0.584272	+	0.133356i	0.0798401	+	0.996808i	$0.474559\pi$
$420$	−3.34928	+	21.6918i	−0.163428	+	1.05845i
$421$	−1.27235	+	3.63617i	−0.0620107	+	0.177216i	−0.970720	−	0.240212i	$-0.922783\pi$
$421$	−1.27235	+	3.63617i	−0.0620107	+	0.177216i	0.908710	+	0.417429i	$0.137069\pi$
$422$	23.3931	+	3.12254i	1.13876	+	0.152003i
$423$	5.21496	+	5.21496i	0.253560	+	0.253560i
$424$	−12.5759	+	13.9207i	−0.610741	+	0.676049i
$425$	−8.73655	−	0.984373i	−0.423785	−	0.0477491i
$426$	−0.442261	−	1.35219i	−0.0214276	−	0.0655140i
$427$	−10.6496	−	6.69161i	−0.515372	−	0.323830i
$428$	−3.85776	−	2.05665i	−0.186472	−	0.0994121i
$429$	−1.22720	−	2.54830i	−0.0592496	−	0.123033i
$430$	−48.6520	−	18.1516i	−2.34621	−	0.875350i
$431$	10.8880	−	8.68292i	0.524458	−	0.418241i	−0.325145	−	0.945664i	$-0.605413\pi$
$431$	10.8880	−	8.68292i	0.524458	−	0.418241i	0.849603	+	0.527423i	$0.176842\pi$
$432$	−19.8181	+	10.2926i	−0.953501	+	0.495205i
$433$	5.45470	+	15.5886i	0.262136	+	0.749142i	0.997447	+	0.0714117i	$0.0227504\pi$
$433$	5.45470	+	15.5886i	0.262136	+	0.749142i	−0.735311	+	0.677730i	$0.762964\pi$
$434$	14.9938	−	1.37884i	0.719726	−	0.0661865i
$435$	−0.730420	−	22.4656i	−0.0350210	−	1.07714i
$436$	−3.98650	−	21.4917i	−0.190919	−	1.02926i
$437$	5.96616	+	17.0503i	0.285400	+	0.815627i
$438$	7.57783	−	1.56691i	0.362083	−	0.0748701i
$439$	−9.12507	−	11.4425i	−0.435516	−	0.546120i	0.514839	−	0.857287i	$-0.327852\pi$
$439$	−9.12507	−	11.4425i	−0.435516	−	0.546120i	−0.950355	+	0.311167i	$0.899280\pi$
$440$	1.78407	−	10.1681i	0.0850523	−	0.484744i
$441$	−0.0514095	−	0.106753i	−0.00244807	−	0.00508347i
$442$	−2.39339	+	3.64120i	−0.113842	+	0.173194i
$443$	1.56456	−	2.48998i	0.0743345	−	0.118303i	−0.807488	−	0.589884i	$-0.799174\pi$
$443$	1.56456	−	2.48998i	0.0743345	−	0.118303i	0.881823	+	0.471581i	$0.156316\pi$
$444$	−11.3174	−	26.1961i	−0.537099	−	1.24321i
$445$	−43.2884	−	4.87743i	−2.05207	−	0.231213i
$446$	15.6590	+	20.4833i	0.741475	+	0.969913i
$447$	−0.658373	+	0.658373i	−0.0311400	+	0.0311400i
$448$	6.73265	+	19.9274i	0.318088	+	0.941482i
$449$	3.60590	−	10.3051i	0.170173	−	0.486326i	−0.826938	−	0.562294i	$-0.809919\pi$
$449$	3.60590	−	10.3051i	0.170173	−	0.486326i	0.997110	+	0.0759681i	$0.0242047\pi$
$450$	2.62971	−	10.5225i	0.123966	−	0.496037i
$451$	1.99374	−	8.73514i	0.0938814	−	0.411321i
$452$	−19.8709	+	28.9215i	−0.934651	+	1.36035i
$453$	−13.8958	−	22.1151i	−0.652883	−	1.03906i
$454$	0.641317	−	31.2842i	0.0300985	−	1.46824i
$455$	−16.5007	+	3.76617i	−0.773564	+	0.176561i
$456$	−5.36228	+	18.2426i	−0.251112	+	0.854289i
$457$	1.44300	+	1.15076i	0.0675008	+	0.0538301i	0.656659	−	0.754188i	$-0.271969\pi$
$457$	1.44300	+	1.15076i	0.0675008	+	0.0538301i	−0.589158	+	0.808018i	$0.700541\pi$
$458$	5.26420	−	3.15911i	0.245980	−	0.147616i
$459$	7.85071	+	3.78070i	0.366440	+	0.176468i
$460$	16.9496	+	14.6927i	0.790280	+	0.685050i
$461$	3.69038	+	32.7530i	0.171878	+	1.52546i	0.722890	+	0.690963i	$0.242813\pi$
$461$	3.69038	+	32.7530i	0.171878	+	1.52546i	−0.551012	+	0.834497i	$0.685758\pi$
$462$	2.21263	+	4.84623i	0.102941	+	0.225467i
$463$	−37.4751			−1.74161			−0.870807	−	0.491625i	$-0.836403\pi$
$463$	−37.4751			−1.74161			−0.870807	+	0.491625i	$0.836403\pi$
$464$	−10.5441	−	18.7836i	−0.489497	−	0.872005i
$465$	16.9021			0.783818
$466$	−12.8772	−	28.2043i	−0.596522	−	1.30654i
$467$	2.37821	+	21.1072i	0.110051	+	0.976726i	0.920453	+	0.390853i	$0.127820\pi$
$467$	2.37821	+	21.1072i	0.110051	+	0.976726i	−0.810403	+	0.585873i	$0.800752\pi$
$468$	−4.06187	−	3.52101i	−0.187760	−	0.162759i
$469$	6.10206	+	2.93860i	0.281767	+	0.135692i
$470$	21.4188	−	12.8537i	0.987977	−	0.592897i
$471$	−1.95853	−	1.56188i	−0.0902443	−	0.0719674i
$472$	−33.1923	−	9.75662i	−1.52780	−	0.449085i
$473$	−12.2880	+	2.80465i	−0.565002	+	0.128958i
$474$	0.317406	−	15.4834i	0.0145790	−	0.711178i
$475$	−15.7396	−	25.0494i	−0.722181	−	1.14934i
$476$	4.64771	−	6.76457i	0.213027	−	0.310054i
$477$	−2.00947	+	8.80408i	−0.0920075	+	0.403111i
$478$	−0.0544023	+	0.217686i	−0.00248831	+	0.00995671i
$479$	−3.34183	+	9.55039i	−0.152692	+	0.436368i	−0.994666	−	0.103150i	$-0.967108\pi$
$479$	−3.34183	+	9.55039i	−0.152692	+	0.436368i	0.841974	+	0.539518i	$0.181394\pi$
$480$	5.47745	+	22.9674i	0.250010	+	1.04831i
$481$	15.5597	−	15.5597i	0.709460	−	0.709460i
$482$	2.09318	+	2.73806i	0.0953419	+	0.124715i
$483$	−11.5030	−	1.29608i	−0.523406	−	0.0589737i
$484$	7.73135	+	17.8956i	0.351425	+	0.813438i
$485$	22.5534	−	35.8936i	1.02410	−	1.62984i
$486$	−9.96586	+	15.1616i	−0.452061	+	0.687746i
$487$	−11.9007	−	24.7121i	−0.539272	−	1.11981i	−0.975505	−	0.219976i	$-0.929402\pi$
$487$	−11.9007	−	24.7121i	−0.539272	−	1.11981i	0.436233	−	0.899834i	$-0.356312\pi$
$488$	−13.3267	−	2.33827i	−0.603269	−	0.105849i
$489$	11.4067	+	14.3035i	0.515827	+	0.646826i
$490$	−0.393006	+	0.0812642i	−0.0177542	+	0.00367114i
$491$	−8.34828	−	23.8580i	−0.376753	−	1.07670i	−0.963680	−	0.267058i	$-0.913949\pi$
$491$	−8.34828	−	23.8580i	−0.376753	−	1.07670i	0.586928	−	0.809639i	$-0.300337\pi$
$492$	3.73744	+	20.1490i	0.168497	+	0.908386i
$493$	−3.39880	+	7.68718i	−0.153074	+	0.346213i
$494$	−14.6006	+	1.34269i	−0.656913	+	0.0604103i
$495$	−1.64127	−	4.69049i	−0.0737698	−	0.210822i
$496$	14.3747	−	7.46554i	0.645441	−	0.335213i
$497$	−1.61554	+	1.28835i	−0.0724667	+	0.0577903i
$498$	−3.85225	−	1.43724i	−0.172624	−	0.0644044i
$499$	−3.70535	−	7.69424i	−0.165874	−	0.344441i	0.801419	−	0.598104i	$-0.204079\pi$
$499$	−3.70535	−	7.69424i	−0.165874	−	0.344441i	−0.967293	+	0.253662i	$0.918365\pi$
$500$	−3.64278	−	1.94204i	−0.162910	−	0.0868508i
$501$	9.00702	+	5.65949i	0.402404	+	0.252847i
$502$	−4.34504	−	13.2848i	−0.193929	−	0.592929i
$503$	15.4126	+	1.73658i	0.687215	+	0.0774305i	0.448665	−	0.893700i	$-0.351900\pi$
$503$	15.4126	+	1.73658i	0.687215	+	0.0774305i	0.238549	+	0.971130i	$0.423328\pi$
$504$	7.51323	+	6.78743i	0.334666	+	0.302336i
$505$	23.0539	+	23.0539i	1.02588	+	1.02588i
$506$	5.39669	+	0.720356i	0.239912	+	0.0320237i
$507$	3.84843	−	10.9982i	0.170915	−	0.488446i
$508$	0.524097	−	3.39434i	0.0232530	−	0.150599i
$509$	20.4470	+	4.66689i	0.906297	+	0.206856i	0.650172	−	0.759787i	$-0.274697\pi$
$509$	20.4470	+	4.66689i	0.906297	+	0.206856i	0.256125	+	0.966644i	$0.417554\pi$
$510$	5.89068	−	7.08383i	0.260844	−	0.313677i
$511$	−5.97957	−	9.51643i	−0.264521	−	0.420982i
$512$	14.8029	+	17.1136i	0.654201	+	0.756320i
$513$	6.52448	+	28.5856i	0.288063	+	1.26209i
$514$	−14.3920	+	28.3822i	−0.634806	+	1.25188i
$515$	−17.8430	−	14.2293i	−0.786258	−	0.627020i
$516$	23.2560	−	17.0350i	1.02379	−	0.749923i
$517$	2.63068	−	5.46266i	0.115697	−	0.240247i
$518$	−29.9020	+	28.7007i	−1.31382	+	1.26104i
$519$	−0.527016	−	4.67739i	−0.0231334	−	0.205315i
$520$	−14.9056	+	10.4557i	−0.653654	+	0.458515i
$521$			10.4317i			0.457022i	0.973541	+	0.228511i	$0.0733857\pi$
$521$			10.4317i			0.457022i	−0.973541	+	0.228511i	$0.926614\pi$
$522$	−8.84526	−	5.41084i	−0.387147	−	0.236826i
$523$	28.2757			1.23641			0.618205	−	0.786017i	$-0.287860\pi$
$523$	28.2757			1.23641			0.618205	+	0.786017i	$0.287860\pi$
$524$	−27.2137	+	15.5817i	−1.18884	+	0.680690i
$525$	18.8388	−	2.12262i	0.822192	−	0.0926388i
$526$	−18.7487	+	17.9955i	−0.817483	+	0.784640i
$527$	−5.69434	−	2.74225i	−0.248049	−	0.119454i
$528$	4.17300	+	3.92817i	0.181607	+	0.170952i
$529$	6.96420	−	8.73284i	0.302792	−	0.379689i
$530$	27.2798	+	13.8331i	1.18496	+	0.600870i
$531$	−16.2361	+	3.70579i	−0.704587	+	0.160817i
$532$	27.5472	−	1.96484i	1.19432	−	0.0851868i
$533$	−13.3801	+	8.40725i	−0.579555	+	0.364159i
$534$	15.4625	−	18.5944i	0.669129	−	0.804660i
$535$	−1.58607	+	6.94903i	−0.0685718	+	0.300433i
$536$	7.27207	+	0.447728i	0.314105	+	0.0193389i
$537$	19.6664	+	6.88159i	0.848670	+	0.296962i
$538$	−1.08543	+	8.13176i	−0.0467964	+	0.350585i
$539$	−0.0688783	+	0.0688783i	−0.00296680	+	0.00296680i
$540$	24.6688	+	26.7790i	1.06157	+	1.15238i
$541$	−5.01397	+	44.5002i	−0.215567	+	1.91321i	0.161231	+	0.986917i	$0.448454\pi$
$541$	−5.01397	+	44.5002i	−0.215567	+	1.91321i	−0.376798	+	0.926295i	$0.622975\pi$
$542$	−0.443315	−	1.35542i	−0.0190420	−	0.0582201i
$543$	−1.76627	+	2.81101i	−0.0757981	+	0.120632i
$544$	1.88094	−	8.62640i	0.0806445	−	0.369854i
$545$	−32.1088	+	15.4628i	−1.37539	+	0.662352i
$546$	3.28438	−	8.80316i	0.140558	−	0.376740i
$547$	0.530261	+	0.664926i	0.0226723	+	0.0284302i	0.793038	−	0.609172i	$-0.208498\pi$
$547$	0.530261	+	0.664926i	0.0226723	+	0.0284302i	−0.770366	+	0.637602i	$0.779927\pi$
$548$	23.7300	−	7.22643i	1.01369	−	0.308698i
$549$	−6.14753	+	2.15112i	−0.262370	+	0.0918074i
$550$	−8.87923	+	0.816541i	−0.378611	+	0.0348174i
$551$	−27.3542	+	7.18610i	−1.16533	+	0.306138i
$552$	−11.9844	+	3.38280i	−0.510091	+	0.143981i
$553$	−21.2311	+	7.42909i	−0.902839	+	0.315917i
$554$	−9.27783	−	44.8690i	−0.394177	−	1.90630i
$555$	−36.3755	+	29.0085i	−1.54405	+	1.23134i
$556$	2.60337	−	9.57809i	0.110408	−	0.406202i
$557$	−28.1497	+	13.5562i	−1.19274	+	0.574394i	−0.921598	−	0.388146i	$-0.873116\pi$
$557$	−28.1497	+	13.5562i	−1.19274	+	0.574394i	−0.271143	+	0.962539i	$0.587401\pi$
$558$	4.28272	−	6.51554i	0.181302	−	0.275825i
$559$	18.8221	+	11.8267i	0.796091	+	0.500217i
$560$	28.4733	−	19.1144i	1.20322	−	0.807732i
$561$	0.250376	−	2.22215i	0.0105709	−	0.0938191i
$562$	−28.9583	+	22.1379i	−1.22153	+	0.933831i
$563$	23.0893	+	23.0893i	0.973097	+	0.973097i	0.999647	−	0.0265502i	$-0.00845219\pi$
$563$	23.0893	+	23.0893i	0.973097	+	0.973097i	−0.0265502	+	0.999647i	$0.508452\pi$
$564$	−0.568318	+	13.8558i	−0.0239305	+	0.583433i
$565$	54.0006	+	18.8956i	2.27182	+	0.794945i
$566$	3.01979	−	12.0834i	0.126931	−	0.507903i
$567$	−7.84825	−	1.79131i	−0.329595	−	0.0752280i
$568$	−1.08572	+	1.93969i	−0.0455559	+	0.0813877i
$569$	−16.4080	+	10.3098i	−0.687857	+	0.432209i	−0.830094	−	0.557623i	$-0.811713\pi$
$569$	−16.4080	+	10.3098i	−0.687857	+	0.432209i	0.142237	+	0.989833i	$0.454571\pi$
$570$	30.9948	+	0.635385i	1.29823	+	0.0266134i
$571$	0.980499	+	4.29585i	0.0410326	+	0.179776i	0.991292	−	0.131685i	$-0.0420388\pi$
$571$	0.980499	+	4.29585i	0.0410326	+	0.179776i	−0.950259	+	0.311461i	$0.899182\pi$
$572$	−1.62931	+	4.10794i	−0.0681248	+	0.171762i
$573$	21.2727	−	26.6751i	0.888679	−	1.11437i
$574$	25.5214	−	15.3157i	1.06524	−	0.639264i
$575$	8.40639	−	17.4561i	0.350571	−	0.727968i
$576$	10.2415	+	3.70807i	0.426729	+	0.154503i
$577$	−38.2286	+	4.30733i	−1.59148	+	0.179316i	−0.862802	−	0.505543i	$-0.831292\pi$
$577$	−38.2286	+	4.30733i	−1.59148	+	0.179316i	−0.728675	+	0.684859i	$0.759864\pi$
$578$	18.7361	−	8.55431i	0.779320	−	0.355812i
$579$			30.4370i			1.26492i
$580$	−25.0437	+	24.6219i	−1.03988	+	1.02237i
$581$			5.97187i			0.247755i
$582$	9.77403	+	21.4076i	0.405147	+	0.887375i
$583$	7.37734	−	0.831227i	0.305538	−	0.0344259i
$584$	−9.82269	−	7.04949i	−0.406466	−	0.291710i
$585$	−3.80270	+	7.89639i	−0.157222	+	0.326476i
$586$	−12.4243	−	20.7032i	−0.513241	−	0.855242i
$587$	17.8118	−	22.3353i	0.735173	−	0.921878i	−0.263916	−	0.964546i	$-0.585014\pi$
$587$	17.8118	−	22.3353i	0.735173	−	0.921878i	0.999089	+	0.0426675i	$0.0135856\pi$
$588$	0.0821397	−	0.207097i	0.00338739	−	0.00854054i
$589$	−4.73238	−	20.7339i	−0.194995	−	0.854327i
$590$	−1.15608	+	56.3948i	−0.0475950	+	2.32174i
$591$	−21.4458	+	13.4753i	−0.882163	+	0.554300i
$592$	−18.1232	+	40.7374i	−0.744858	+	1.67430i
$593$	−3.66710	−	0.836992i	−0.150590	−	0.0343712i	0.146561	−	0.989202i	$-0.453179\pi$
$593$	−3.66710	−	0.836992i	−0.150590	−	0.0343712i	−0.297151	+	0.954830i	$0.596037\pi$
$594$	8.57370	+	2.14267i	0.351783	+	0.0879150i
$595$	−12.6305	−	4.41959i	−0.517798	−	0.181185i
$596$	1.45355	+	0.0596200i	0.0595399	+	0.00244213i
$597$	7.41962	+	7.41962i	0.303665	+	0.303665i
$598$	−5.83190	−	7.62862i	−0.238484	−	0.311957i
$599$	4.25443	−	37.7591i	0.173831	−	1.54279i	−0.539511	−	0.841979i	$-0.681391\pi$
$599$	4.25443	−	37.7591i	0.173831	−	1.54279i	0.713342	−	0.700816i	$-0.247181\pi$
$600$	17.9023	−	9.76866i	0.730860	−	0.398804i
$601$	17.4749	+	10.9802i	0.712816	+	0.447892i	0.839012	−	0.544113i	$-0.183134\pi$
$601$	17.4749	+	10.9802i	0.712816	+	0.447892i	−0.126196	+	0.992005i	$0.540277\pi$
$602$	−34.9885	−	22.9982i	−1.42603	−	0.937338i
$603$	3.15985	−	1.52170i	0.128679	−	0.0619686i
$604$	−10.7037	+	39.3802i	−0.435528	+	1.60236i
$605$	24.8495	−	19.8168i	1.01028	−	0.805669i
$606$	−17.7246	+	3.66502i	−0.720012	+	0.148881i
$607$	42.8704	−	15.0010i	1.74005	−	0.608871i	0.741952	−	0.670453i	$-0.233900\pi$
$607$	42.8704	−	15.0010i	1.74005	−	0.608871i	0.998102	+	0.0615819i	$0.0196145\pi$
$608$	26.6406	−	13.1498i	1.08042	−	0.533294i
$609$	3.45664	−	17.7913i	0.140070	−	0.720938i
$610$	2.02012	+	21.9672i	0.0817923	+	0.889425i
$611$	−10.0933	+	3.53178i	−0.408330	+	0.142881i
$612$	−1.23812	−	4.06570i	−0.0500479	−	0.164346i
$613$	−14.0786	−	17.6540i	−0.568628	−	0.713037i	0.411499	−	0.911410i	$-0.365006\pi$
$613$	−14.0786	−	17.6540i	−0.568628	−	0.713037i	−0.980126	+	0.198374i	$0.936434\pi$
$614$	−31.9850	−	11.9333i	−1.29081	−	0.481590i
$615$	30.1027	−	14.4967i	1.21386	−	0.584564i
$616$	3.22683	−	7.67301i	0.130013	−	0.309154i
$617$	5.18797	−	8.25661i	0.208860	−	0.332399i	−0.725823	−	0.687882i	$-0.758541\pi$
$617$	5.18797	−	8.25661i	0.208860	−	0.332399i	0.934683	+	0.355483i	$0.115684\pi$
$618$	12.0419	−	3.93854i	0.484397	−	0.158431i
$619$	0.881111	−	7.82008i	0.0354149	−	0.314316i	−0.963499	−	0.267713i	$-0.913732\pi$
$619$	0.881111	−	7.82008i	0.0354149	−	0.314316i	0.998914	−	0.0466024i	$-0.0148394\pi$
$620$	−17.8929	−	19.4235i	−0.718598	−	0.780068i
$621$	−13.5782	+	13.5782i	−0.544873	+	0.544873i
$622$	8.68741	+	1.15960i	0.348333	+	0.0464959i
$623$	−33.1539	−	11.6010i	−1.32828	−	0.464786i
$624$	−0.305329	−	10.1030i	−0.0122229	−	0.404445i
$625$	4.76960	−	20.8970i	0.190784	−	0.835880i
$626$	−27.9632	−	23.2533i	−1.11764	−	0.929390i
$627$	6.37132	−	4.00337i	0.254446	−	0.159879i
$628$	0.278468	+	3.90413i	0.0111121	+	0.155792i
$629$	16.9613	−	3.87131i	0.676292	−	0.154359i
$630$	7.46593	−	14.7234i	0.297450	−	0.586593i
$631$	7.06717	−	8.86195i	0.281340	−	0.352789i	−0.621003	−	0.783808i	$-0.713275\pi$
$631$	7.06717	−	8.86195i	0.281340	−	0.352789i	0.902343	+	0.431019i	$0.141846\pi$
$632$	−18.1292	+	16.0263i	−0.721141	+	0.637492i
$633$	19.2459	+	9.26836i	0.764958	+	0.368384i
$634$	5.41326	+	5.63984i	0.214988	+	0.223987i
$635$	−5.56454	+	0.626973i	−0.220822	+	0.0248807i
$636$	−14.7356	+	8.43715i	−0.584305	+	0.334555i
$637$	0.171797			0.00680686
$638$	−1.79696	+	8.33285i	−0.0711423	+	0.329901i
$639$			1.07002i			0.0423295i
$640$	20.5950	−	30.6083i	0.814090	−	1.20990i
$641$	−0.397610	−	3.52889i	−0.0157047	−	0.139383i	0.983413	−	0.181380i	$-0.0580564\pi$
$641$	−0.397610	−	3.52889i	−0.0157047	−	0.139383i	−0.999118	+	0.0419974i	$0.986628\pi$
$642$	−2.74005	−	2.85474i	−0.108141	−	0.112668i
$643$	9.28560	−	19.2817i	0.366188	−	0.760398i	−0.633725	−	0.773558i	$-0.718475\pi$
$643$	9.28560	−	19.2817i	0.366188	−	0.760398i	0.999913	+	0.0131606i	$0.00418928\pi$
$644$	10.6879	+	14.5910i	0.421162	+	0.574968i
$645$	−36.7468	−	29.3046i	−1.44691	−	1.15387i
$646$	−10.3391	−	5.24274i	−0.406785	−	0.206273i
$647$	9.90087	+	43.3785i	0.389243	+	1.70539i	0.667272	+	0.744814i	$0.267462\pi$
$647$	9.90087	+	43.3785i	0.389243	+	1.70539i	−0.278029	+	0.960573i	$0.589681\pi$
$648$	−8.54524	+	1.40454i	−0.335689	+	0.0551756i
$649$	7.28409	+	11.5926i	0.285926	+	0.455048i
$650$	12.0917	+	10.0550i	0.474274	+	0.394391i
$651$	13.2868	+	3.03262i	0.520749	+	0.118858i
$652$	4.36192	−	28.2502i	0.170826	−	1.10636i
$653$	6.10952	−	17.4600i	0.239084	−	0.683262i	−0.760347	−	0.649518i	$-0.774971\pi$
$653$	6.10952	−	17.4600i	0.239084	−	0.683262i	0.999430	−	0.0337449i	$-0.0107434\pi$
$654$	2.61762	−	19.6104i	0.102357	−	0.766829i
$655$	36.1528	+	36.1528i	1.41261	+	1.41261i
$656$	19.1982	−	25.6251i	0.749563	−	1.00049i
$657$	−5.78339	−	0.651632i	−0.225632	−	0.0254226i
$658$	19.1436	−	6.26127i	0.746294	−	0.244090i
$659$	12.0037	+	7.54244i	0.467599	+	0.293812i	0.745147	−	0.666900i	$-0.232379\pi$
$659$	12.0037	+	7.54244i	0.467599	+	0.293812i	−0.277549	+	0.960712i	$0.589522\pi$
$660$	4.39578	−	8.24536i	0.171106	−	0.320950i
$661$	−0.641404	−	1.33189i	−0.0249477	−	0.0518045i	0.888123	−	0.459607i	$-0.152010\pi$
$661$	−0.641404	−	1.33189i	−0.0249477	−	0.0518045i	−0.913070	+	0.407802i	$0.866295\pi$
$662$	1.59665	−	4.27952i	0.0620557	−	0.166328i
$663$	−3.08350	+	2.45901i	−0.119753	+	0.0955001i
$664$	2.42643	+	5.94841i	0.0941636	+	0.230843i
$665$	−14.8716	−	42.5006i	−0.576695	−	1.64810i
$666$	1.96543	+	21.3725i	0.0761589	+	0.828167i
$667$	−13.5160	−	12.6648i	−0.523341	−	0.490382i
$668$	−3.03126	−	16.3419i	−0.117283	−	0.632287i
$669$	7.70767	+	22.0273i	0.297996	+	0.851623i
$670$	−2.40539	−	11.6328i	−0.0929285	−	0.449416i
$671$	3.33841	+	4.18623i	0.128878	+	0.161608i
$672$	0.184963	+	19.0374i	0.00713509	+	0.734385i
$673$	8.24794	+	17.1270i	0.317935	+	0.660198i	0.997287	−	0.0736142i	$-0.0234533\pi$
$673$	8.24794	+	17.1270i	0.317935	+	0.660198i	−0.679352	+	0.733813i	$0.737739\pi$
$674$	6.61621	+	4.34889i	0.254847	+	0.167513i
$675$	16.7315	−	26.6280i	0.643996	−	1.02491i
$676$	−16.7129	+	7.22036i	−0.642802	+	0.277706i
$677$	2.91858	+	0.328845i	0.112170	+	0.0126386i	0.167871	−	0.985809i	$-0.446311\pi$
$677$	2.91858	+	0.328845i	0.112170	+	0.0126386i	−0.0557009	+	0.998448i	$0.517739\pi$
$678$	−25.2321	+	19.2893i	−0.969033	+	0.740803i
$679$	24.1693	−	24.1693i	0.927534	−	0.927534i
$680$	−14.3765	+	0.729648i	−0.551315	+	0.0279807i
$681$	9.35413	−	26.7326i	0.358451	−	1.02439i
$682$	−6.21874	−	1.55414i	−0.238128	−	0.0595111i
$683$	7.04285	−	30.8567i	0.269487	−	1.18070i	−0.641125	−	0.767437i	$-0.721532\pi$
$683$	7.04285	−	30.8567i	0.269487	−	1.18070i	0.910612	−	0.413263i	$-0.135611\pi$
$684$	8.09849	−	11.7871i	0.309654	−	0.450690i
$685$	−21.5174	−	34.2448i	−0.822139	−	1.30843i
$686$	−26.3463	−	0.540093i	−1.00591	−	0.0206208i
$687$	5.41754	−	1.23652i	0.206692	−	0.0471761i
$688$	−44.1954	−	8.69171i	−1.68494	−	0.331369i
$689$	−10.2370	−	8.16371i	−0.389997	−	0.311013i
$690$	10.4473	+	17.4089i	0.397721	+	0.662744i
$691$	26.7240	+	12.8696i	1.01663	+	0.489583i	0.866550	−	0.499090i	$-0.166332\pi$
$691$	26.7240	+	12.8696i	1.01663	+	0.489583i	0.150081	+	0.988674i	$0.452047\pi$
$692$	−4.81724	+	5.55721i	−0.183124	+	0.211253i
$693$	−0.448627	−	3.98167i	−0.0170419	−	0.151251i
$694$	−26.6954	+	12.1883i	−1.01335	+	0.462661i
$695$	−16.1828			−0.613849
$696$	−3.78569	−	19.1258i	−0.143496	−	0.724963i
$697$	−12.4936			−0.473229
$698$	−40.5263	+	18.5030i	−1.53394	+	0.700348i
$699$	−3.14207	−	27.8867i	−0.118844	−	1.05477i
$700$	−22.3824	−	19.4020i	−0.845974	−	0.733328i
$701$	17.2852	+	8.32410i	0.652852	+	0.314397i	0.730831	−	0.682558i	$-0.239133\pi$
$701$	17.2852	+	8.32410i	0.652852	+	0.314397i	−0.0779796	+	0.996955i	$0.524847\pi$
$702$	−8.02018	−	13.3645i	−0.302702	−	0.504410i
$703$	45.7695	+	36.4999i	1.72623	+	1.37662i
$704$	0.0965402	−	8.95395i	0.00363850	−	0.337465i
$705$	22.0427	−	5.03111i	0.830177	−	0.189483i
$706$	−12.6163	−	0.258630i	−0.474820	−	0.00973368i
$707$	13.9863	+	22.2590i	0.526007	+	0.837136i
$708$	−25.8093	−	17.7327i	−0.969973	−	0.666435i
$709$	−1.67792	+	7.35144i	−0.0630156	+	0.276089i	−0.996613	−	0.0822344i	$-0.973794\pi$
$709$	−1.67792	+	7.35144i	−0.0630156	+	0.276089i	0.933597	+	0.358324i	$0.116652\pi$
$710$	3.51608	+	0.878711i	0.131956	+	0.0329774i
$711$	−3.84703	+	10.9942i	−0.144275	+	0.412314i
$712$	−37.7372	+	1.91526i	−1.41426	+	0.0717776i
$713$	9.84862	−	9.84862i	0.368834	−	0.368834i
$714$	5.90165	−	4.51167i	0.220864	−	0.168845i
$715$	7.15991	+	0.806728i	0.267765	+	0.0301699i
$716$	−12.9111	−	29.8852i	−0.482511	−	1.11686i
$717$	−0.108051	+	0.171962i	−0.00403524	+	0.00642205i
$718$	−24.0727	−	15.8232i	−0.898386	−	0.590516i
$719$	6.76752	+	14.0529i	0.252386	+	0.524084i	0.988213	−	0.153085i	$-0.0489208\pi$
$719$	6.76752	+	14.0529i	0.252386	+	0.524084i	−0.735827	+	0.677169i	$0.763206\pi$
$720$	1.45436	−	17.6990i	0.0542006	−	0.659602i
$721$	−11.4733	−	14.3871i	−0.427289	−	0.535804i
$722$	−2.45773	−	11.8859i	−0.0914672	−	0.442349i
$723$	1.03031	+	2.94445i	0.0383175	+	0.109505i
$724$	5.10016	−	0.946029i	0.189546	−	0.0351589i
$725$	26.1959	+	15.2958i	0.972891	+	0.568071i
$726$	1.61580	+	17.5705i	0.0599680	+	0.652104i
$727$	−8.75767	−	25.0280i	−0.324804	−	0.928236i	−0.984296	−	0.176525i	$-0.943514\pi$
$727$	−8.75767	−	25.0280i	−0.324804	−	0.928236i	0.659492	−	0.751711i	$-0.270771\pi$
$728$	−13.5933	+	5.54486i	−0.503800	+	0.205506i
$729$	−20.0207	+	15.9660i	−0.741507	+	0.591332i
$730$	−6.89061	+	18.4690i	−0.255033	+	0.683568i
$731$	7.62556	+	15.8346i	0.282042	+	0.585665i
$732$	−10.8067	−	5.76128i	−0.399426	−	0.212943i
$733$	6.63150	+	4.16685i	0.244940	+	0.153906i	0.648907	−	0.760867i	$-0.275226\pi$
$733$	6.63150	+	4.16685i	0.244940	+	0.153906i	−0.403967	+	0.914773i	$0.632369\pi$
$734$	39.7015	−	12.9851i	1.46541	−	0.479291i
$735$	−0.360958	−	0.0406703i	−0.0133142	−	0.00150014i
$736$	16.5744	+	10.1911i	0.610940	+	0.375650i
$737$	−2.03878	−	2.03878i	−0.0750993	−	0.0750993i
$738$	2.03924	−	15.2774i	0.0750655	−	0.562369i
$739$	−6.08442	+	17.3883i	−0.223819	+	0.639638i	0.776140	+	0.630561i	$0.217175\pi$
$739$	−6.08442	+	17.3883i	−0.223819	+	0.639638i	−0.999959	+	0.00907736i	$0.997111\pi$
$740$	71.8436	+	11.0929i	2.64102	+	0.407782i
$741$	−12.9384	−	2.95310i	−0.475302	−	0.108485i
$742$	18.9627	+	15.7688i	0.696142	+	0.578889i
$743$	−0.406458	−	0.646874i	−0.0149115	−	0.0237315i	0.839185	−	0.543846i	$-0.183032\pi$
$743$	−0.406458	−	0.646874i	−0.0149115	−	0.0237315i	−0.854097	+	0.520114i	$0.825889\pi$
$744$	14.4667	−	2.37783i	0.530376	−	0.0871756i
$745$	−0.527794	−	2.31242i	−0.0193369	−	0.0847204i
$746$	18.6245	+	9.44411i	0.681891	+	0.345773i
$747$	2.41776	+	1.92810i	0.0884613	+	0.0705455i
$748$	−2.81869	+	2.06468i	−0.103061	+	0.0754922i
$749$	−2.49362	+	5.17805i	−0.0911149	+	0.189202i
$750$	−2.58736	−	2.69566i	−0.0944770	−	0.0984315i
$751$	1.96561	+	17.4453i	0.0717262	+	0.636587i	0.977220	+	0.212228i	$0.0680720\pi$
$751$	1.96561	+	17.4453i	0.0717262	+	0.636587i	−0.905494	+	0.424359i	$0.860499\pi$
$752$	16.5243	−	14.0149i	0.602580	−	0.511070i
$753$		−	12.6511i		−	0.461033i
$754$	12.6330	−	8.15096i	0.460066	−	0.296841i
$755$	66.5354			2.42147
$756$	14.5874	+	25.4770i	0.530537	+	0.926591i
$757$	28.0233	−	3.15746i	1.01852	−	0.114760i	0.413118	−	0.910678i	$-0.364440\pi$
$757$	28.0233	−	3.15746i	1.01852	−	0.114760i	0.605405	+	0.795918i	$0.293011\pi$
$758$	−5.06545	−	5.27748i	−0.183986	−	0.191687i
$759$	4.43996	+	2.13817i	0.161160	+	0.0776107i
$760$	−32.0815	−	36.2911i	−1.16372	−	1.31642i
$761$	24.7910	−	31.0869i	0.898672	−	1.12690i	−0.0926834	−	0.995696i	$-0.529544\pi$
$761$	24.7910	−	31.0869i	0.898672	−	1.12690i	0.991355	−	0.131203i	$-0.0418841\pi$
$762$	1.40593	−	2.77260i	0.0509315	−	0.100441i
$763$	−28.0150	+	6.39425i	−1.01421	+	0.231487i
$764$	−53.1740	+	3.79272i	−1.92377	+	0.137216i
$765$	−5.86722	+	3.68662i	−0.212130	+	0.133290i
$766$	12.8663	+	10.6992i	0.464878	+	0.386578i
$767$	5.37313	−	23.5412i	0.194013	−	0.850024i
$768$	7.91932	+	18.8875i	0.285764	+	0.681543i
$769$	−31.2092	−	10.9206i	−1.12543	−	0.393806i	−0.297549	−	0.954706i	$-0.596169\pi$
$769$	−31.2092	−	10.9206i	−1.12543	−	0.393806i	−0.827883	+	0.560900i	$0.810455\pi$
$770$	−13.4521	−	1.79560i	−0.484780	−	0.0647089i
$771$	−20.3670	+	20.3670i	−0.733500	+	0.733500i
$772$	34.9774	−	32.2211i	1.25886	−	1.15966i
$773$	−0.395421	+	3.50946i	−0.0142223	+	0.126227i	−0.998817	−	0.0486251i	$-0.984516\pi$
$773$	−0.395421	+	3.50946i	−0.0142223	+	0.126227i	0.984595	+	0.174852i	$0.0559446\pi$
$774$	−20.6075	+	6.74009i	−0.740723	+	0.242268i
$775$	−12.1358	+	19.3141i	−0.435932	+	0.693782i
$776$	14.2542	−	33.8946i	0.511694	−	1.21675i
$777$	−33.7995	+	16.2770i	−1.21255	+	0.583933i
$778$	23.9189	+	8.92391i	0.857532	+	0.319938i
$779$	−26.2115	−	32.8682i	−0.939126	−	1.17763i
$780$	−15.7649	+	4.80084i	−0.564473	+	0.171898i
$781$	0.830308	−	0.290537i	0.0297108	−	0.0103962i
$782$	−0.695228	−	7.56005i	−0.0248613	−	0.270347i
$783$	−19.4990	−	22.8840i	−0.696837	−	0.817808i
$784$	−0.324946	+	0.124844i	−0.0116052	+	0.00445871i
$785$	6.02340	−	2.10768i	0.214984	−	0.0752263i
$786$	−27.7955	+	5.74745i	−0.991433	+	0.205005i
$787$	−26.9431	+	21.4864i	−0.960419	+	0.765909i	−0.972231	−	0.234021i	$-0.924811\pi$
$787$	−26.9431	+	21.4864i	−0.960419	+	0.765909i	0.0118120	+	0.999930i	$0.496240\pi$
$788$	38.1884	+	10.3798i	1.36041	+	0.369765i
$789$	−21.1925	+	10.2057i	−0.754471	+	0.363334i
$790$	32.9674	+	21.6698i	1.17293	+	0.770976i
$791$	39.0596	+	24.5427i	1.38880	+	0.872640i
$792$	−2.06465	−	3.78374i	−0.0733643	−	0.134450i
$793$	1.05733	−	9.38405i	0.0375468	−	0.333237i
$794$	7.28954	+	9.53534i	0.258696	+	0.338396i
$795$	19.5760	+	19.5760i	0.694288	+	0.694288i
$796$	0.671895	−	16.3810i	0.0238147	−	0.580609i
$797$	−32.4414	−	11.3517i	−1.14913	−	0.402099i	−0.312530	−	0.949908i	$-0.601176\pi$
$797$	−32.4414	−	11.3517i	−1.14913	−	0.402099i	−0.836604	+	0.547809i	$0.815462\pi$
$798$	24.2510	+	6.06063i	0.858476	+	0.214544i
$799$	−8.24247	−	1.88129i	−0.291597	−	0.0665552i
$800$	−30.1777	−	10.2316i	−1.06694	−	0.361743i
$801$	−15.4010	+	9.67706i	−0.544166	+	0.341922i
$802$	0.334775	−	16.3307i	0.0118213	−	0.576658i
$803$	1.06468	+	4.66469i	0.0375719	+	0.164613i
$804$	6.13000	+	2.43131i	0.216189	+	0.0857457i
$805$	18.3860	−	23.0553i	0.648021	−	0.812593i
$806$	5.81726	+	9.69362i	0.204904	+	0.341443i
$807$	−3.22180	+	6.69014i	−0.113413	+	0.235504i
$808$	22.9753	+	16.4888i	0.808270	+	0.580074i
$809$	13.7457	−	1.54877i	0.483273	−	0.0544518i	0.133033	−	0.991112i	$-0.457529\pi$
$809$	13.7457	−	1.54877i	0.483273	−	0.0544518i	0.350240	+	0.936660i	$0.386100\pi$
$810$	5.86409	+	12.8439i	0.206043	+	0.451287i
$811$			52.7802i			1.85336i	0.375847	+	0.926682i	$0.377352\pi$
$811$			52.7802i			1.85336i	−0.375847	+	0.926682i	$0.622648\pi$
$812$	−24.1046	+	14.8619i	−0.845904	+	0.521550i
$813$		−	1.29077i		−	0.0452692i
$814$	16.0508	−	7.32827i	0.562580	−	0.256856i
$815$	−46.3122	+	5.21814i	−1.62225	+	0.182783i
$816$	4.04533	−	6.89184i	0.141615	−	0.241263i
$817$	−25.6595	+	53.2824i	−0.897711	+	1.86412i
$818$	26.0735	−	15.6470i	0.911637	−	0.547084i
$819$	−4.40609	+	5.52506i	−0.153961	+	0.193061i
$820$	−48.5266	−	19.2468i	−1.69462	−	0.672128i
$821$	4.10024	+	17.9643i	0.143099	+	0.626959i	0.994705	+	0.102776i	$0.0327723\pi$
$821$	4.10024	+	17.9643i	0.143099	+	0.626959i	−0.851605	+	0.524184i	$0.824371\pi$
$822$	22.4476	+	0.460170i	0.782950	+	0.0160503i
$823$	20.7752	−	13.0540i	0.724179	−	0.455032i	−0.118841	−	0.992913i	$-0.537918\pi$
$823$	20.7752	−	13.0540i	0.724179	−	0.455032i	0.843021	+	0.537881i	$0.180775\pi$
$824$	−17.2739	−	9.66885i	−0.601764	−	0.336831i
$825$	−7.86833	−	1.79589i	−0.273940	−	0.0625250i
$826$	−11.0273	+	44.1245i	−0.383687	+	1.53529i
$827$	−0.729212	−	0.255162i	−0.0253572	−	0.00887287i	0.317571	−	0.948235i	$-0.397133\pi$
$827$	−0.729212	−	0.255162i	−0.0253572	−	0.00887287i	−0.342928	+	0.939362i	$0.611419\pi$
$828$	9.35804	+	0.383836i	0.325214	+	0.0133392i
$829$	−7.29354	−	7.29354i	−0.253315	−	0.253315i	0.569013	−	0.822328i	$-0.307325\pi$
$829$	−7.29354	−	7.29354i	−0.253315	−	0.253315i	−0.822328	+	0.569013i	$0.807325\pi$
$830$	8.32118	−	6.36134i	0.288832	−	0.220806i
$831$	4.64327	−	41.2102i	0.161073	−	1.42956i
$832$	−11.2869	+	11.0461i	−0.391304	+	0.382956i
$833$	0.115009	+	0.0722647i	0.00398481	+	0.00250382i
$834$	4.93460	−	7.50729i	0.170871	−	0.259956i
$835$	−24.4149	+	11.7576i	−0.844913	+	0.406889i
$836$	−11.3454	−	3.08373i	−0.392388	−	0.106653i
$837$	17.6752	−	14.0955i	0.610945	−	0.487212i
$838$	−3.51297	−	16.9892i	−0.121353	−	0.586883i
$839$	−22.0800	+	7.72611i	−0.762285	+	0.266735i	−0.683297	−	0.730141i	$-0.739454\pi$
$839$	−22.0800	+	7.72611i	−0.762285	+	0.266735i	−0.0789877	+	0.996876i	$0.525169\pi$
$840$	29.8731	−	8.43215i	1.03072	−	0.290937i
$841$	21.4507	−	19.5158i	0.739680	−	0.672958i
$842$	5.42516	−	0.498902i	0.186963	−	0.0171933i
$843$	−31.1410	+	10.8967i	−1.07255	+	0.375303i
$844$	−9.72316	−	31.9286i	−0.334685	−	1.09903i
$845$	18.5071	+	23.2072i	0.636663	+	0.798351i
$846$	3.64583	−	9.77196i	0.125346	−	0.335967i
$847$	23.0898	−	11.1195i	0.793374	−	0.382069i
$848$	25.2952	+	8.00209i	0.868640	+	0.274793i
$849$	5.99775	−	9.54536i	0.205842	−	0.327596i
$850$	3.86514	+	11.8175i	0.132573	+	0.405337i
$851$	−4.29264	+	38.0982i	−0.147150	+	1.30599i
$852$	−1.47979	+	1.36318i	−0.0506968	+	0.0467018i
$853$	−8.69711	+	8.69711i	−0.297783	+	0.297783i	−0.840145	−	0.542362i	$-0.817530\pi$
$853$	−8.69711	+	8.69711i	−0.297783	+	0.297783i	0.542362	+	0.840145i	$0.317530\pi$
$854$	−2.35338	+	17.6308i	−0.0805311	+	0.603315i
$855$	−22.0082	−	7.70100i	−0.752664	−	0.263369i
$856$	−0.379931	+	6.17089i	−0.0129858	+	0.210917i
$857$	−5.96772	+	26.1463i	−0.203853	+	0.893140i	0.764710	+	0.644374i	$0.222882\pi$
$857$	−5.96772	+	26.1463i	−0.203853	+	0.893140i	−0.968564	+	0.248766i	$0.919975\pi$
$858$	−2.55750	+	3.07552i	−0.0873118	+	0.104997i
$859$	23.2922	−	14.6355i	0.794720	−	0.499356i	−0.0724477	−	0.997372i	$-0.523081\pi$
$859$	23.2922	−	14.6355i	0.794720	−	0.499356i	0.867167	+	0.498017i	$0.165938\pi$
$860$	5.22474	+	73.2510i	0.178162	+	2.49784i
$861$	26.2648	−	5.99476i	0.895101	−	0.204301i
$862$	−17.5655	−	8.90713i	−0.598284	−	0.303378i
$863$	−15.4356	+	19.3556i	−0.525434	+	0.658873i	−0.971753	−	0.236001i	$-0.924163\pi$
$863$	−15.4356	+	19.3556i	−0.525434	+	0.658873i	0.446319	+	0.894874i	$0.352735\pi$
$864$	24.8816	+	19.4500i	0.846489	+	0.661701i
$865$	10.8034	+	5.20263i	0.367326	+	0.176895i
$866$	16.8504	−	16.1735i	0.572601	−	0.549596i
$867$	18.5252	−	2.08728i	0.629147	−	0.0708879i
$868$	−10.5806	−	18.4792i	−0.359129	−	0.627225i
$869$	9.57574			0.324835
$870$	−28.4724	+	14.1351i	−0.965303	+	0.479225i
$871$			5.08515i			0.172304i
$872$	−25.3069	+	17.7519i	−0.857000	+	0.601155i
$873$	−1.98175	−	17.5886i	−0.0670722	−	0.595282i
$874$	18.4304	−	17.6900i	0.623419	−	0.598372i
$875$	−2.35466	+	4.88950i	−0.0796020	+	0.165295i
$876$	−6.46671	−	8.82831i	−0.218490	−	0.298281i
$877$	24.3369	+	19.4080i	0.821799	+	0.655363i	0.941338	−	0.337467i	$-0.109570\pi$
$877$	24.3369	+	19.4080i	0.821799	+	0.655363i	−0.119538	+	0.992830i	$0.538141\pi$
$878$	−9.36071	+	18.4600i	−0.315909	+	0.622995i
$879$	−4.86302	−	21.3063i	−0.164026	−	0.718643i
$880$	−14.1288	+	3.67717i	−0.476282	+	0.123957i
$881$	−4.80678	−	7.64995i	−0.161945	−	0.257733i	0.755888	−	0.654701i	$-0.227205\pi$
$881$	−4.80678	−	7.64995i	−0.161945	−	0.257733i	−0.917833	+	0.396968i	$0.870063\pi$
$882$	−0.107139	+	0.128839i	−0.00360754	+	0.00433824i
$883$	−2.89040	−	0.659714i	−0.0972696	−	0.0222011i	0.173609	−	0.984815i	$-0.444457\pi$
$883$	−2.89040	−	0.659714i	−0.0972696	−	0.0222011i	−0.270879	+	0.962613i	$0.587314\pi$
$884$	6.09009	+	0.940329i	0.204832	+	0.0316267i
$885$	−16.8623	+	48.1898i	−0.566821	+	1.61988i
$886$	−4.12225	−	0.550242i	−0.138490	−	0.0184857i
$887$	10.2830	+	10.2830i	0.345270	+	0.345270i	0.858344	−	0.513074i	$-0.171493\pi$
$887$	10.2830	+	10.2830i	0.345270	+	0.345270i	−0.513074	+	0.858344i	$0.671493\pi$
$888$	−27.0532	+	29.9461i	−0.907846	+	1.00492i
$889$	−4.48678	−	0.505538i	−0.150482	−	0.0169552i
$890$	19.1512	+	58.5541i	0.641951	+	1.96274i
$891$	2.90175	+	1.82329i	0.0972122	+	0.0610825i
$892$	17.1537	−	32.1760i	0.574348	−	1.07733i
$893$	−12.3434	−	25.6313i	−0.413055	−	0.857718i
$894$	1.23368	+	0.460275i	0.0412605	+	0.0153939i
$895$	−41.4980	+	33.0935i	−1.38712	+	1.10620i
$896$	21.6815	−	20.3659i	0.724329	−	0.680378i
$897$	−2.87058	−	8.20363i	−0.0958457	−	0.273911i
$898$	−15.3751	+	1.41391i	−0.513074	+	0.0471827i
$899$	14.1432	+	16.5984i	0.471701	+	0.553588i
$900$	−15.0815	+	2.79748i	−0.502717	+	0.0932492i
$901$	−3.41909	−	9.77120i	−0.113906	−	0.325526i
$902$	−12.4085	+	2.56579i	−0.413159	+	0.0854315i
$903$	−23.6288	−	29.6295i	−0.786316	−	0.986009i
$904$	48.8780	+	8.57606i	1.62566	+	0.285235i
$905$	−3.66944	−	7.61968i	−0.121976	−	0.253287i
$906$	−20.2885	+	30.8661i	−0.674042	+	1.02546i
$907$	18.8817	−	30.0500i	0.626956	−	0.997795i	−0.370659	−	0.928769i	$-0.620868\pi$
$907$	18.8817	−	30.0500i	0.626956	−	0.997795i	0.997615	−	0.0690260i	$-0.0219891\pi$
$908$	−40.6229	+	17.5501i	−1.34812	+	0.582420i
$909$	13.5274	+	1.52417i	0.448675	+	0.0505536i
$910$	14.5369	+	19.0155i	0.481894	+	0.630359i
$911$	−7.48552	+	7.48552i	−0.248006	+	0.248006i	−0.820152	−	0.572146i	$-0.806111\pi$
$911$	−7.48552	+	7.48552i	−0.248006	+	0.248006i	0.572146	+	0.820152i	$0.306111\pi$
$912$	26.6182	−	3.81659i	0.881416	−	0.126380i
$913$	0.839671	−	2.39964i	0.0277891	−	0.0794166i
$914$	0.632851	−	2.53229i	0.0209329	−	0.0837607i
$915$	−4.44304	+	19.4662i	−0.146882	+	0.643534i
$916$	−7.15609	−	4.91670i	−0.236444	−	0.162452i
$917$	21.9331	+	34.9063i	0.724295	+	1.15271i
$918$	0.252564	−	12.3203i	0.00833585	−	0.406632i
$919$	−9.29857	+	2.12234i	−0.306732	+	0.0700095i	−0.373116	−	0.927785i	$-0.621711\pi$
$919$	−9.29857	+	2.12234i	−0.306732	+	0.0700095i	0.0663846	+	0.997794i	$0.478854\pi$
$920$	8.94617	−	30.4351i	0.294946	−	1.00342i
$921$	−24.1582	−	19.2656i	−0.796041	−	0.634822i
$922$	39.9682	−	23.9854i	1.31628	−	0.789917i
$923$	−1.39782	−	0.673153i	−0.0460097	−	0.0221571i
$924$	4.93492	−	5.69297i	0.162347	−	0.187285i
$925$	−7.03016	−	62.3944i	−0.231150	−	2.05152i
$926$	22.0114	+	48.2106i	0.723339	+	1.58430i
$927$	−9.52906			−0.312975
$928$	−17.9713	+	24.5974i	−0.589938	+	0.807449i
$929$	45.3634			1.48833			0.744163	−	0.667998i	$-0.232848\pi$
$929$	45.3634			1.48833			0.744163	+	0.667998i	$0.232848\pi$
$930$	−9.92766	−	21.7441i	−0.325541	−	0.713018i
$931$	0.0511734	+	0.454176i	0.00167714	+	0.0148850i
$932$	−28.7204	+	33.1322i	−0.940769	+	1.08528i
$933$	7.14728	+	3.44195i	0.233992	+	0.112684i
$934$	25.7570	−	15.4571i	0.842793	−	0.505770i
$935$	4.45381	+	3.55179i	0.145655	+	0.116156i
$936$	−2.14389	+	7.29358i	−0.0700753	+	0.238398i
$937$	−10.0126	+	2.28532i	−0.327099	+	0.0746581i	−0.382917	−	0.923783i	$-0.625080\pi$
$937$	−10.0126	+	2.28532i	−0.327099	+	0.0746581i	0.0558183	+	0.998441i	$0.482223\pi$
$938$	0.196308	−	9.57615i	0.00640970	−	0.312672i
$939$	−17.5133	−	27.8723i	−0.571525	−	0.909577i
$940$	−29.1165	−	20.0049i	−0.949675	−	0.652489i
$941$	−10.2520	+	44.9170i	−0.334206	+	1.46425i	0.476694	+	0.879069i	$0.341835\pi$
$941$	−10.2520	+	44.9170i	−0.334206	+	1.46425i	−0.810900	+	0.585184i	$0.801022\pi$
$942$	−0.858944	+	3.43698i	−0.0279859	+	0.111983i
$943$	9.09339	−	25.9874i	0.296121	−	0.846267i
$944$	6.94425	+	48.4316i	0.226016	+	1.57631i
$945$	33.8457	−	33.8457i	1.10100	−	1.10100i
$946$	10.8256	+	14.1608i	0.351970	+	0.460407i
$947$	−29.8843	−	3.36715i	−0.971108	−	0.109418i	−0.387866	−	0.921716i	$-0.626788\pi$
$947$	−29.8843	−	3.36715i	−0.971108	−	0.109418i	−0.583242	+	0.812298i	$0.698216\pi$
$948$	−20.1054	+	8.68603i	−0.652994	+	0.282109i
$949$	4.48959	−	7.14514i	0.145738	−	0.231941i
$950$	−22.9805	+	34.9615i	−0.745585	+	1.13430i
$951$	3.07001	+	6.37495i	0.0995520	+	0.206722i
$952$	−11.4323	−	2.00589i	−0.370523	−	0.0650114i
$953$	−6.31688	−	7.92112i	−0.204624	−	0.256590i	0.668921	−	0.743333i	$-0.266756\pi$
$953$	−6.31688	−	7.92112i	−0.204624	−	0.256590i	−0.873545	+	0.486743i	$0.838185\pi$
$954$	12.5065	−	2.58604i	0.404912	−	0.0837262i
$955$	28.7065	+	82.0384i	0.928920	+	2.65470i
$956$	0.312000	−	0.0578729i	0.0100908	−	0.00187174i
$957$	−3.89049	+	6.66294i	−0.125762	+	0.215382i
$958$	14.2492	−	1.31036i	0.460369	−	0.0423359i
$959$	−10.7706	−	30.7805i	−0.347800	−	0.993954i
$960$	26.3296	−	20.5367i	0.849786	−	0.662820i
$961$	11.4164	−	9.10431i	0.368273	−	0.293688i
$962$	−29.1562	−	10.8779i	−0.940034	−	0.350718i
$963$	1.29128	+	2.68137i	0.0416109	+	0.0864058i
$964$	2.29298	−	4.30105i	0.0738521	−	0.138528i
$965$	−65.6522	−	41.2520i	−2.11342	−	1.32795i
$966$	5.08906	+	15.5596i	0.163738	+	0.500621i
$967$	22.0743	+	2.48717i	0.709861	+	0.0799821i	0.459509	−	0.888173i	$-0.348025\pi$
$967$	22.0743	+	2.48717i	0.709861	+	0.0799821i	0.250351	+	0.968155i	$0.419454\pi$
$968$	18.4811	−	20.4574i	0.594006	−	0.657524i
$969$	−7.41930	−	7.41930i	−0.238342	−	0.238342i
$970$	−59.4231	−	7.93185i	−1.90796	−	0.254676i
$971$	1.36747	−	3.90801i	0.0438843	−	0.125414i	−0.919856	−	0.392256i	$-0.871695\pi$
$971$	1.36747	−	3.90801i	0.0438843	−	0.125414i	0.963740	+	0.266842i	$0.0859803\pi$
$972$	25.3586	+	3.91544i	0.813376	+	0.125588i
$973$	−12.7213	−	2.90355i	−0.407826	−	0.0930837i
$974$	−24.8013	+	29.8248i	−0.794686	+	0.955648i
$975$	7.57298	+	12.0523i	0.242530	+	0.385984i
$976$	4.81944	+	18.5178i	0.154266	+	0.592739i
$977$	−1.18376	−	5.18640i	−0.0378719	−	0.165928i	0.952456	−	0.304678i	$-0.0985487\pi$
$977$	−1.18376	−	5.18640i	−0.0378719	−	0.165928i	−0.990327	+	0.138750i	$0.955692\pi$
$978$	11.7012	−	23.0756i	0.374163	−	0.737878i
$979$	11.6909	+	9.32315i	0.373642	+	0.297969i
$980$	0.335380	+	0.457859i	0.0107133	+	0.0146258i
$981$	−6.45627	+	13.4066i	−0.206133	+	0.428039i
$982$	−25.7892	+	24.7531i	−0.822966	+	0.789903i
$983$	−3.29506	−	29.2445i	−0.105096	−	0.932754i	−0.930020	−	0.367510i	$-0.880210\pi$
$983$	−3.29506	−	29.2445i	−0.105096	−	0.932754i	0.824924	−	0.565244i	$-0.191218\pi$
$984$	23.7258	−	16.6428i	0.756352	−	0.530554i
$985$		−	64.5219i		−	2.05584i
$986$	11.8857	−	0.142688i	0.378517	−	0.00454411i
$987$	18.2305			0.580282
$988$	10.3032	+	17.9946i	0.327787	+	0.572486i
$989$	−38.4872	+	4.33646i	−1.22382	+	0.137891i
$990$	−5.07016	+	4.86646i	−0.161140	+	0.154666i
$991$	−28.0201	−	13.4938i	−0.890087	−	0.428643i	−0.0677884	−	0.997700i	$-0.521594\pi$
$991$	−28.0201	−	13.4938i	−0.890087	−	0.428643i	−0.822298	+	0.569057i	$0.807309\pi$
$992$	−18.0473	−	14.1076i	−0.573003	−	0.447917i
$993$	2.57769	−	3.23232i	0.0818005	−	0.102575i
$994$	2.60632	+	1.32162i	0.0826676	+	0.0419191i
$995$	−26.0601	+	5.94804i	−0.826160	+	0.188566i
$996$	0.413694	+	5.79999i	0.0131084	+	0.183780i
$997$	−0.0708776	+	0.0445353i	−0.00224472	+	0.00141045i	−0.533154	−	0.846018i	$-0.678993\pi$
$997$	−0.0708776	+	0.0445353i	−0.00224472	+	0.00141045i	0.530909	+	0.847429i	$0.321851\pi$
$998$	−7.72204	+	9.28612i	−0.244437	+	0.293947i
$999$	−13.8476	+	60.6705i	−0.438120	+	1.91953i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.v.a.11.11	✓	336
4.3	odd	2		928.2.bn.a.591.20		336
8.3	odd	2	inner	232.2.v.a.11.18	yes	336
8.5	even	2		928.2.bn.a.591.19		336
29.8	odd	28	inner	232.2.v.a.211.18	yes	336
116.95	even	28		928.2.bn.a.559.19		336
232.37	odd	28		928.2.bn.a.559.20		336
232.211	even	28	inner	232.2.v.a.211.11	yes	336

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.v.a.11.11	✓	336	1.1	even	1	trivial
232.2.v.a.11.18	yes	336	8.3	odd	2	inner
232.2.v.a.211.11	yes	336	232.211	even	28	inner
232.2.v.a.211.18	yes	336	29.8	odd	28	inner
928.2.bn.a.559.19		336	116.95	even	28
928.2.bn.a.559.20		336	232.37	odd	28
928.2.bn.a.591.19		336	8.5	even	2
928.2.bn.a.591.20		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)

\(f(q)\)	\(=\)	\(q+(-0.587361 - 1.28647i) q^{2} +(-0.143318 - 1.27198i) q^{3} +(-1.31001 + 1.51125i) q^{4} +(2.93790 + 1.41482i) q^{5} +(-1.55219 + 0.931489i) q^{6} +(2.05563 + 1.63931i) q^{7} +(2.71362 + 0.797649i) q^{8} +(1.32738 - 0.302965i) q^{9} +O(q^{10})\)	\(q+(-0.587361 - 1.28647i) q^{2} +(-0.143318 - 1.27198i) q^{3} +(-1.31001 + 1.51125i) q^{4} +(2.93790 + 1.41482i) q^{5} +(-1.55219 + 0.931489i) q^{6} +(2.05563 + 1.63931i) q^{7} +(2.71362 + 0.797649i) q^{8} +(1.32738 - 0.302965i) q^{9} +(0.0945148 - 4.61054i) q^{10} +(-0.595508 - 0.947746i) q^{11} +(2.11003 + 1.44973i) q^{12} +(-0.439279 + 1.92460i) q^{13} +(0.901530 - 3.60738i) q^{14} +(1.37857 - 3.93974i) q^{15} +(-0.567725 - 3.95951i) q^{16} +(-1.10364 + 1.10364i) q^{17} +(-1.16941 - 1.52968i) q^{18} +(-5.21887 - 0.588026i) q^{19} +(-5.98683 + 2.58646i) q^{20} +(1.79057 - 2.84968i) q^{21} +(-0.869469 + 1.32277i) q^{22} +(-1.49235 - 3.09890i) q^{23} +(0.625685 - 3.56601i) q^{24} +(3.51211 + 4.40405i) q^{25} +(2.73396 - 0.565319i) q^{26} +(-1.84391 - 5.26959i) q^{27} +(-5.17031 + 0.959043i) q^{28} +(5.02249 - 1.94284i) q^{29} +(-5.87808 + 0.540553i) q^{30} +(1.33744 + 3.82218i) q^{31} +(-4.76033 + 3.05602i) q^{32} +(-1.12017 + 0.893307i) q^{33} +(2.06803 + 0.771562i) q^{34} +(3.71992 + 7.72449i) q^{35} +(-1.28103 + 2.40288i) q^{36} +(-9.43818 - 5.93040i) q^{37} +(2.30888 + 7.05931i) q^{38} +(2.51103 + 0.282925i) q^{39} +(6.84383 + 6.18270i) q^{40} +(5.66020 + 5.66020i) q^{41} +(-4.71774 - 0.629728i) q^{42} +(3.71911 - 10.6286i) q^{43} +(2.21240 + 0.341602i) q^{44} +(4.32835 + 0.987918i) q^{45} +(-3.11009 + 3.74004i) q^{46} +(2.88192 + 4.58655i) q^{47} +(-4.95507 + 1.28961i) q^{48} +(-0.0193650 - 0.0848438i) q^{49} +(3.60280 - 7.10499i) q^{50} +(1.56198 + 1.24564i) q^{51} +(-2.33309 - 3.18512i) q^{52} +(-2.87781 + 5.97584i) q^{53} +(-5.69614 + 5.46729i) q^{54} +(-0.408656 - 3.62692i) q^{55} +(4.27062 + 6.08815i) q^{56} +6.72260i q^{57} +(-5.44942 - 5.32013i) q^{58} -12.2317 q^{59} +(4.14796 + 7.24448i) q^{60} +(-4.75358 + 0.535600i) q^{61} +(4.13157 - 3.96558i) q^{62} +(3.22526 + 1.55320i) q^{63} +(6.72751 + 4.32904i) q^{64} +(-4.01353 + 5.03280i) q^{65} +(1.80716 + 0.916374i) q^{66} +(2.51135 - 0.573199i) q^{67} +(-0.222086 - 3.11364i) q^{68} +(-3.72787 + 2.34238i) q^{69} +(7.75240 - 9.32263i) q^{70} +(-0.174881 + 0.766203i) q^{71} +(3.84367 + 0.236648i) q^{72} +(-4.03476 - 1.41182i) q^{73} +(-2.08567 + 15.6252i) q^{74} +(5.09853 - 5.09853i) q^{75} +(7.72545 - 7.11668i) q^{76} +(0.329506 - 2.92444i) q^{77} +(-1.11090 - 3.39654i) q^{78} +(-4.55156 + 7.24376i) q^{79} +(3.93407 - 12.4359i) q^{80} +(-2.75853 + 1.32844i) q^{81} +(3.95711 - 10.6063i) q^{82} +(1.41614 + 1.77579i) q^{83} +(1.96089 + 6.43911i) q^{84} +(-4.80382 + 1.68093i) q^{85} +(-15.8578 + 1.45830i) q^{86} +(-3.19108 - 6.11008i) q^{87} +(-0.860017 - 3.04683i) q^{88} +(-12.6096 + 4.41229i) q^{89} +(-1.27138 - 6.14856i) q^{90} +(-4.05803 + 3.23617i) q^{91} +(6.63820 + 1.80429i) q^{92} +(4.67008 - 2.24899i) q^{93} +(4.20773 - 6.40146i) q^{94} +(-14.5006 - 9.11133i) q^{95} +(4.56945 + 5.61708i) q^{96} +(1.45555 - 12.9184i) q^{97} +(-0.0977748 + 0.0747465i) q^{98} +(-1.07760 - 1.07760i) 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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