LMFDB - Embedded newform 435.2.bm.a.43.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [435,2,Mod(37,435)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(435, base_ring=CyclotomicField(28))

chi = DirichletCharacter(H, H._module([0, 7, 3]))

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

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

chi := DirichletCharacter("435.37");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 435 = 3 \cdot 5 \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	435.bm (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:	$3.47349248793$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$15$ over $\Q(\zeta_{28})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{28}]$

Embedding invariants

Embedding label			43.5
Character	$\chi$	$=$	435.43
Dual form			435.2.bm.a.172.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.14581 - 0.913753i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.0328938 + 0.144117i) q^{4} +(1.79018 - 1.33987i) q^{5} +(1.14581 - 0.913753i) q^{6} +(2.18772 + 3.48174i) q^{7} +(-1.17776 + 2.44563i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})$	\(q+(-1.14581 - 0.913753i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.0328938 + 0.144117i) q^{4} +(1.79018 - 1.33987i) q^{5} +(1.14581 - 0.913753i) q^{6} +(2.18772 + 3.48174i) q^{7} +(-1.17776 + 2.44563i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-3.27552 - 0.100541i) q^{10} +(-0.298803 + 0.853929i) q^{11} -0.147823 q^{12} +(-0.987021 + 2.82074i) q^{13} +(0.674736 - 5.98845i) q^{14} +(0.907927 + 2.04345i) q^{15} +(3.85056 - 1.85433i) q^{16} -1.07131i q^{17} +(0.635876 + 1.32041i) q^{18} +(-3.37796 + 5.37599i) q^{19} +(0.251985 + 0.213922i) q^{20} +(-3.88126 + 1.35811i) q^{21} +(1.12265 - 0.705408i) q^{22} +(-0.167540 + 1.48696i) q^{23} +(-2.12224 - 1.69243i) q^{24} +(1.40948 - 4.79722i) q^{25} +(3.70840 - 2.33014i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-0.429816 + 0.429816i) q^{28} +(5.37054 - 0.396615i) q^{29} +(0.826891 - 3.17102i) q^{30} +(0.360265 + 3.19744i) q^{31} +(-0.813619 - 0.185703i) q^{32} +(-0.766029 - 0.481328i) q^{33} +(-0.978908 + 1.22751i) q^{34} +(8.58150 + 3.30167i) q^{35} +(0.0328938 - 0.144117i) q^{36} +(5.26973 + 2.53777i) q^{37} +(8.78283 - 3.07324i) q^{38} +(-2.53039 - 1.58995i) q^{39} +(1.16845 + 5.95616i) q^{40} +(-5.15780 - 5.15780i) q^{41} +(5.68816 + 1.99037i) q^{42} +(7.58491 + 9.51118i) q^{43} +(-0.132895 - 0.0149736i) q^{44} +(-2.19424 + 0.430454i) q^{45} +(1.55068 - 1.55068i) q^{46} +(1.48262 - 0.713994i) q^{47} +(0.951009 + 4.16664i) q^{48} +(-4.29919 + 8.92736i) q^{49} +(-5.99847 + 4.20879i) q^{50} +(1.04445 + 0.238388i) q^{51} +(-0.438985 - 0.0494617i) q^{52} +(11.8376 - 1.33378i) q^{53} +(-1.42880 + 0.326115i) q^{54} +(0.609246 + 1.92904i) q^{55} +(-11.0917 + 1.24973i) q^{56} +(-4.48954 - 4.48954i) q^{57} +(-6.51602 - 4.45290i) q^{58} -7.01064i q^{59} +(-0.264630 + 0.198065i) q^{60} +(-2.34189 - 3.72710i) q^{61} +(2.50888 - 3.99285i) q^{62} +(-0.460399 - 4.08615i) q^{63} +(-4.56677 - 5.72655i) q^{64} +(2.01249 + 6.37212i) q^{65} +(0.437909 + 1.25147i) q^{66} +(-4.95696 - 14.1662i) q^{67} +(0.154394 - 0.0352393i) q^{68} +(-1.41240 - 0.494220i) q^{69} +(-6.81586 - 11.6244i) q^{70} +(-0.889605 - 1.84728i) q^{71} +(2.12224 - 1.69243i) q^{72} +(-5.17704 + 4.12855i) q^{73} +(-3.71921 - 7.72303i) q^{74} +(4.36331 + 2.44162i) q^{75} +(-0.885887 - 0.309985i) q^{76} +(-3.62685 + 0.827805i) q^{77} +(1.44652 + 4.13393i) q^{78} +(1.93932 + 5.54227i) q^{79} +(4.40862 - 8.47884i) q^{80} +(0.623490 + 0.781831i) q^{81} +(1.19690 + 10.6228i) q^{82} +(-3.78918 + 6.03044i) q^{83} +(-0.323397 - 0.514683i) q^{84} +(-1.43541 - 1.91783i) q^{85} -17.8287i q^{86} +(-0.808387 + 5.32414i) q^{87} +(-1.73648 - 1.73648i) q^{88} +(6.10197 - 0.687527i) q^{89} +(2.90752 + 1.51178i) q^{90} +(-11.9804 + 2.73445i) q^{91} +(-0.219808 + 0.0247664i) q^{92} +(-3.19744 - 0.360265i) q^{93} +(-2.35122 - 0.536651i) q^{94} +(1.15600 + 14.1500i) q^{95} +(0.362095 - 0.751897i) q^{96} +(-3.62465 - 15.8806i) q^{97} +(13.0835 - 6.30066i) q^{98} +(0.639718 - 0.639718i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 30 q^{3} + 30 q^{4} + 10 q^{5} - 30 q^{9}+O(q^{10}) $ 180 * q - 30 * q^3 + 30 * q^4 + 10 * q^5 - 30 * q^9	$ 180 q - 30 q^{3} + 30 q^{4} + 10 q^{5} - 30 q^{9} - 4 q^{10} - 30 q^{11} - 180 q^{12} - 20 q^{13} - 10 q^{14} - 4 q^{15} - 14 q^{16} + 8 q^{19} + 2 q^{20} + 36 q^{22} + 64 q^{25} - 36 q^{26} - 30 q^{27} + 72 q^{28} + 12 q^{29} - 4 q^{30} - 20 q^{31} + 12 q^{33} + 40 q^{34} - 6 q^{35} + 30 q^{36} + 42 q^{37} + 16 q^{38} + 22 q^{39} + 18 q^{40} - 10 q^{41} + 4 q^{42} + 26 q^{43} + 4 q^{44} - 4 q^{45} + 12 q^{46} - 20 q^{47} - 70 q^{48} + 8 q^{50} + 12 q^{52} - 82 q^{53} + 48 q^{55} + 6 q^{56} + 8 q^{57} - 70 q^{58} - 40 q^{60} + 14 q^{61} + 110 q^{62} - 14 q^{63} - 74 q^{64} + 42 q^{65} + 22 q^{66} - 20 q^{67} - 98 q^{68} + 28 q^{69} + 8 q^{70} + 140 q^{71} + 98 q^{73} + 22 q^{75} - 4 q^{76} - 42 q^{77} + 34 q^{78} - 24 q^{79} - 62 q^{80} - 30 q^{81} + 6 q^{82} - 60 q^{83} - 68 q^{84} - 178 q^{85} - 44 q^{87} - 156 q^{88} - 12 q^{89} - 4 q^{90} - 56 q^{91} - 8 q^{92} + 8 q^{93} + 4 q^{95} - 42 q^{97} + 194 q^{98} + 12 q^{99}+O(q^{100}) $ 180 * q - 30 * q^3 + 30 * q^4 + 10 * q^5 - 30 * q^9 - 4 * q^10 - 30 * q^11 - 180 * q^12 - 20 * q^13 - 10 * q^14 - 4 * q^15 - 14 * q^16 + 8 * q^19 + 2 * q^20 + 36 * q^22 + 64 * q^25 - 36 * q^26 - 30 * q^27 + 72 * q^28 + 12 * q^29 - 4 * q^30 - 20 * q^31 + 12 * q^33 + 40 * q^34 - 6 * q^35 + 30 * q^36 + 42 * q^37 + 16 * q^38 + 22 * q^39 + 18 * q^40 - 10 * q^41 + 4 * q^42 + 26 * q^43 + 4 * q^44 - 4 * q^45 + 12 * q^46 - 20 * q^47 - 70 * q^48 + 8 * q^50 + 12 * q^52 - 82 * q^53 + 48 * q^55 + 6 * q^56 + 8 * q^57 - 70 * q^58 - 40 * q^60 + 14 * q^61 + 110 * q^62 - 14 * q^63 - 74 * q^64 + 42 * q^65 + 22 * q^66 - 20 * q^67 - 98 * q^68 + 28 * q^69 + 8 * q^70 + 140 * q^71 + 98 * q^73 + 22 * q^75 - 4 * q^76 - 42 * q^77 + 34 * q^78 - 24 * q^79 - 62 * q^80 - 30 * q^81 + 6 * q^82 - 60 * q^83 - 68 * q^84 - 178 * q^85 - 44 * q^87 - 156 * q^88 - 12 * q^89 - 4 * q^90 - 56 * q^91 - 8 * q^92 + 8 * q^93 + 4 * q^95 - 42 * q^97 + 194 * q^98 + 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/435\mathbb{Z}\right)^\times$.

$n$	$31$	$146$	$262$
$\chi(n)$	$e\left(\frac{13}{28}\right)$	$1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−1.14581	−	0.913753i	−0.810210	−	0.646121i	0.128160	−	0.991753i	$-0.459093\pi$
$2$	−1.14581	−	0.913753i	−0.810210	−	0.646121i	−0.938370	+	0.345633i	$0.887664\pi$
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$3$	−0.222521	+	0.974928i	−0.128473	+	0.562875i
$4$	0.0328938	+	0.144117i	0.0164469	+	0.0720586i
$5$	1.79018	−	1.33987i	0.800592	−	0.599209i
$5$	1.79018	−	1.33987i	0.800592	−	0.599209i
$6$	1.14581	−	0.913753i	0.467775	−	0.373038i
$7$	2.18772	+	3.48174i	0.826881	+	1.31597i	0.946353	+	0.323136i	$0.104737\pi$
$7$	2.18772	+	3.48174i	0.826881	+	1.31597i	−0.119472	+	0.992838i	$0.538120\pi$
$8$	−1.17776	+	2.44563i	−0.416399	+	0.864662i
$9$	−0.900969	−	0.433884i	−0.300323	−	0.144628i
$10$	−3.27552	−	0.100541i	−1.03581	−	0.0317939i
$11$	−0.298803	+	0.853929i	−0.0900924	+	0.257469i	−0.980109	−	0.198458i	$-0.936407\pi$
$11$	−0.298803	+	0.853929i	−0.0900924	+	0.257469i	0.890017	+	0.455927i	$0.150692\pi$
$12$	−0.147823			−0.0426730
$13$	−0.987021	+	2.82074i	−0.273750	+	0.782334i	0.722138	+	0.691749i	$0.243159\pi$
$13$	−0.987021	+	2.82074i	−0.273750	+	0.782334i	−0.995889	+	0.0905850i	$0.971126\pi$
$14$	0.674736	−	5.98845i	0.180331	−	1.60048i
$15$	0.907927	+	2.04345i	0.234426	+	0.527615i
$16$	3.85056	−	1.85433i	0.962639	−	0.463583i
$17$		−	1.07131i		−	0.259830i	−0.991525	−	0.129915i	$-0.958530\pi$
$17$		−	1.07131i		−	0.259830i	0.991525	−	0.129915i	$-0.0414704\pi$
$18$	0.635876	+	1.32041i	0.149877	+	0.311224i
$19$	−3.37796	+	5.37599i	−0.774957	+	1.23334i	0.192747	+	0.981249i	$0.438260\pi$
$19$	−3.37796	+	5.37599i	−0.774957	+	1.23334i	−0.967704	+	0.252089i	$0.918882\pi$
$20$	0.251985	+	0.213922i	0.0563455	+	0.0478344i
$21$	−3.88126	+	1.35811i	−0.846960	+	0.296364i
$22$	1.12265	−	0.705408i	0.239350	−	0.150393i
$23$	−0.167540	+	1.48696i	−0.0349346	+	0.310053i	0.964078	+	0.265620i	$0.0855767\pi$
$23$	−0.167540	+	1.48696i	−0.0349346	+	0.310053i	−0.999012	+	0.0444329i	$0.985852\pi$
$24$	−2.12224	−	1.69243i	−0.433201	−	0.345466i
$25$	1.40948	−	4.79722i	0.281896	−	0.959445i
$26$	3.70840	−	2.33014i	0.727277	−	0.456979i
$27$	0.623490	−	0.781831i	0.119991	−	0.150464i
$28$	−0.429816	+	0.429816i	−0.0812276	+	0.0812276i
$29$	5.37054	−	0.396615i	0.997284	−	0.0736495i
$29$	5.37054	−	0.396615i	0.997284	−	0.0736495i
$30$	0.826891	−	3.17102i	0.150969	−	0.578946i
$31$	0.360265	+	3.19744i	0.0647056	+	0.574278i	0.983676	+	0.179950i	$0.0575938\pi$
$31$	0.360265	+	3.19744i	0.0647056	+	0.574278i	−0.918970	+	0.394327i	$0.870978\pi$
$32$	−0.813619	−	0.185703i	−0.143829	−	0.0328280i
$33$	−0.766029	−	0.481328i	−0.133349	−	0.0837884i
$34$	−0.978908	+	1.22751i	−0.167881	+	0.210517i
$35$	8.58150	+	3.30167i	1.45054	+	0.558083i
$36$	0.0328938	−	0.144117i	0.00548230	−	0.0240195i
$37$	5.26973	+	2.53777i	0.866338	+	0.417206i	0.813616	−	0.581403i	$-0.197496\pi$
$37$	5.26973	+	2.53777i	0.866338	+	0.417206i	0.0527222	+	0.998609i	$0.483210\pi$
$38$	8.78283	−	3.07324i	1.42476	−	0.498546i
$39$	−2.53039	−	1.58995i	−0.405187	−	0.254596i
$40$	1.16845	+	5.95616i	0.184748	+	0.941752i
$41$	−5.15780	−	5.15780i	−0.805514	−	0.805514i	0.178438	−	0.983951i	$-0.442896\pi$
$41$	−5.15780	−	5.15780i	−0.805514	−	0.805514i	−0.983951	+	0.178438i	$0.942896\pi$
$42$	5.68816	+	1.99037i	0.877702	+	0.307121i
$43$	7.58491	+	9.51118i	1.15669	+	1.45044i	0.870432	+	0.492288i	$0.163839\pi$
$43$	7.58491	+	9.51118i	1.15669	+	1.45044i	0.286256	+	0.958153i	$0.407589\pi$
$44$	−0.132895	−	0.0149736i	−0.0200346	−	0.00225736i
$45$	−2.19424	+	0.430454i	−0.327099	+	0.0641684i
$46$	1.55068	−	1.55068i	0.228636	−	0.228636i
$47$	1.48262	−	0.713994i	0.216263	−	0.104147i	−0.322616	−	0.946530i	$-0.604562\pi$
$47$	1.48262	−	0.713994i	0.216263	−	0.104147i	0.538879	+	0.842383i	$0.318848\pi$
$48$	0.951009	+	4.16664i	0.137266	+	0.601403i
$49$	−4.29919	+	8.92736i	−0.614170	+	1.27534i
$50$	−5.99847	+	4.20879i	−0.848312	+	0.595213i
$51$	1.04445	+	0.238388i	0.146252	+	0.0333810i
$52$	−0.438985	−	0.0494617i	−0.0608762	−	0.00685910i
$53$	11.8376	−	1.33378i	1.62602	−	0.183208i	0.748629	−	0.662989i	$-0.230712\pi$
$53$	11.8376	−	1.33378i	1.62602	−	0.183208i	0.877388	+	0.479781i	$0.159284\pi$
$54$	−1.42880	+	0.326115i	−0.194435	+	0.0443786i
$55$	0.609246	+	1.92904i	0.0821507	+	0.260112i
$56$	−11.0917	+	1.24973i	−1.48219	+	0.167002i
$57$	−4.48954	−	4.48954i	−0.594654	−	0.594654i
$58$	−6.51602	−	4.45290i	−0.855596	−	0.584694i
$59$		−	7.01064i		−	0.912708i	−0.889798	−	0.456354i	$-0.849155\pi$
$59$		−	7.01064i		−	0.912708i	0.889798	−	0.456354i	$-0.150845\pi$
$60$	−0.264630	+	0.198065i	−0.0341636	+	0.0255700i
$61$	−2.34189	−	3.72710i	−0.299849	−	0.477206i	0.662486	−	0.749074i	$-0.269501\pi$
$61$	−2.34189	−	3.72710i	−0.299849	−	0.477206i	−0.962335	+	0.271868i	$0.912359\pi$
$62$	2.50888	−	3.99285i	0.318628	−	0.507093i
$63$	−0.460399	−	4.08615i	−0.0580048	−	0.514807i
$64$	−4.56677	−	5.72655i	−0.570846	−	0.715818i
$65$	2.01249	+	6.37212i	0.249619	+	0.790364i
$66$	0.437909	+	1.25147i	0.0539028	+	0.154045i
$67$	−4.95696	−	14.1662i	−0.605589	−	1.73067i	−0.679765	−	0.733430i	$-0.737918\pi$
$67$	−4.95696	−	14.1662i	−0.605589	−	1.73067i	0.0741758	−	0.997245i	$-0.476367\pi$
$68$	0.154394	−	0.0352393i	0.0187230	−	0.00427339i
$69$	−1.41240	−	0.494220i	−0.170033	−	0.0594971i
$70$	−6.81586	−	11.6244i	−0.814651	−	1.38939i
$71$	−0.889605	−	1.84728i	−0.105577	−	0.219232i	0.841487	−	0.540277i	$-0.181680\pi$
$71$	−0.889605	−	1.84728i	−0.105577	−	0.219232i	−0.947064	+	0.321044i	$0.895966\pi$
$72$	2.12224	−	1.69243i	0.250109	−	0.199455i
$73$	−5.17704	+	4.12855i	−0.605927	+	0.483211i	−0.877739	−	0.479140i	$-0.840949\pi$
$73$	−5.17704	+	4.12855i	−0.605927	+	0.483211i	0.271812	+	0.962350i	$0.412377\pi$
$74$	−3.71921	−	7.72303i	−0.432350	−	0.897784i
$75$	4.36331	+	2.44162i	0.503832	+	0.281935i
$76$	−0.885887	−	0.309985i	−0.101618	−	0.0355578i
$77$	−3.62685	+	0.827805i	−0.413318	+	0.0943372i
$78$	1.44652	+	4.13393i	0.163787	+	0.468075i
$79$	1.93932	+	5.54227i	0.218191	+	0.623554i	1.00000		3.61347e-5i	$1.15020e-5\pi$
$79$	1.93932	+	5.54227i	0.218191	+	0.623554i	−0.781809	+	0.623518i	$0.785703\pi$
$80$	4.40862	−	8.47884i	0.492898	−	0.947963i
$81$	0.623490	+	0.781831i	0.0692766	+	0.0868702i
$82$	1.19690	+	10.6228i	0.132176	+	1.17309i
$83$	−3.78918	+	6.03044i	−0.415916	+	0.661927i	−0.987320	−	0.158742i	$-0.949256\pi$
$83$	−3.78918	+	6.03044i	−0.415916	+	0.661927i	0.571404	+	0.820669i	$0.306399\pi$
$84$	−0.323397	−	0.514683i	−0.0352855	−	0.0561565i
$85$	−1.43541	−	1.91783i	−0.155692	−	0.208018i
$86$		−	17.8287i		−	1.92252i
$87$	−0.808387	+	5.32414i	−0.0866681	+	0.570808i
$88$	−1.73648	−	1.73648i	−0.185109	−	0.185109i
$89$	6.10197	−	0.687527i	0.646808	−	0.0728777i	0.217535	−	0.976053i	$-0.430198\pi$
$89$	6.10197	−	0.687527i	0.646808	−	0.0728777i	0.429273	+	0.903175i	$0.358770\pi$
$90$	2.90752	+	1.51178i	0.306479	+	0.159355i
$91$	−11.9804	+	2.73445i	−1.25589	+	0.286649i
$92$	−0.219808	+	0.0247664i	−0.0229166	+	0.00258208i
$93$	−3.19744	−	0.360265i	−0.331559	−	0.0373578i
$94$	−2.35122	−	0.536651i	−0.242510	−	0.0553513i
$95$	1.15600	+	14.1500i	0.118603	+	1.45176i
$96$	0.362095	−	0.751897i	0.0369561	−	0.0767402i
$97$	−3.62465	−	15.8806i	−0.368028	−	1.61243i	−0.732191	−	0.681099i	$-0.761502\pi$
$97$	−3.62465	−	15.8806i	−0.368028	−	1.61243i	0.364163	−	0.931335i	$-0.381355\pi$
$98$	13.0835	−	6.30066i	1.32163	−	0.636463i
$99$	0.639718	−	0.639718i	0.0642940	−	0.0642940i
$100$	0.737726	+	0.0453313i	0.0737726	+	0.00453313i
$101$	−11.4464	−	1.28970i	−1.13896	−	0.128330i	−0.477727	−	0.878509i	$-0.658539\pi$
$101$	−11.4464	−	1.28970i	−1.13896	−	0.128330i	−0.661236	+	0.750178i	$0.729968\pi$
$102$	−0.978908	−	1.22751i	−0.0969263	−	0.121542i
$103$	6.67616	+	2.33609i	0.657821	+	0.230182i	0.638488	−	0.769632i	$-0.279560\pi$
$103$	6.67616	+	2.33609i	0.657821	+	0.230182i	0.0193329	+	0.999813i	$0.493846\pi$
$104$	−5.73604	−	5.73604i	−0.562465	−	0.562465i
$105$	−5.12845	+	7.63165i	−0.500485	+	0.744773i
$106$	−14.7824	−	9.28837i	−1.43579	−	0.902167i
$107$	−8.07341	+	2.82501i	−0.780486	+	0.273104i	−0.690972	−	0.722882i	$-0.742817\pi$
$107$	−8.07341	+	2.82501i	−0.780486	+	0.273104i	−0.0895139	+	0.995986i	$0.528531\pi$
$108$	0.133184	+	0.0641382i	0.0128157	+	0.00617170i
$109$	1.57045	−	6.88059i	0.150422	−	0.659041i	−0.842340	−	0.538946i	$-0.818823\pi$
$109$	1.57045	−	6.88059i	0.150422	−	0.659041i	0.992762	−	0.120096i	$-0.0383201\pi$
$110$	1.06459	−	2.76702i	0.101504	−	0.263825i
$111$	−3.64677	+	4.57290i	−0.346136	+	0.434040i
$112$	14.8802	+	9.34987i	1.40605	+	0.883480i
$113$	−15.9030	−	3.62976i	−1.49603	−	0.341459i	−0.605302	−	0.795996i	$-0.706948\pi$
$113$	−15.9030	−	3.62976i	−1.49603	−	0.341459i	−0.890728	+	0.454537i	$0.849805\pi$
$114$	1.04183	+	9.24649i	0.0975762	+	0.866013i
$115$	1.69241	+	2.88641i	0.157818	+	0.269159i
$116$	0.233817	+	0.760941i	0.0217093	+	0.0706516i
$117$	2.11315	−	2.11315i	0.195361	−	0.195361i
$118$	−6.40599	+	8.03286i	−0.589719	+	0.739485i
$119$	3.73000	−	2.34372i	0.341929	−	0.214848i
$120$	−6.06683	−	0.186220i	−0.553824	−	0.0169995i
$121$	7.96024	+	6.34808i	0.723658	+	0.577098i
$122$	−0.722285	+	6.41046i	−0.0653926	+	0.580376i
$123$	6.17621	−	3.88077i	0.556890	−	0.349917i
$124$	−0.448956	+	0.157097i	−0.0403174	+	0.0141077i
$125$	−3.90445	−	10.4764i	−0.349225	−	0.937039i
$126$	−3.20620	+	5.10265i	−0.285631	+	0.454580i
$127$	6.01737	+	12.4952i	0.533956	+	1.10877i	0.977191	+	0.212365i	$0.0681164\pi$
$127$	6.01737	+	12.4952i	0.533956	+	1.10877i	−0.443235	+	0.896405i	$0.646169\pi$
$128$			12.4035i			1.09633i
$129$	−10.9605	+	5.27831i	−0.965020	+	0.464729i
$130$	3.51660	−	9.14016i	0.308427	−	0.801645i
$131$	0.919893	−	8.16427i	0.0803714	−	0.713316i	−0.887316	−	0.461162i	$-0.847433\pi$
$131$	0.919893	−	8.16427i	0.0803714	−	0.713316i	0.967687	−	0.252154i	$-0.0811388\pi$
$132$	0.0441700	−	0.126231i	0.00384451	−	0.0109870i
$133$	−26.1078			−2.26384
$134$	−7.26465	+	20.7612i	−0.627571	+	1.79349i
$135$	0.0686032	−	2.23502i	0.00590443	−	0.192359i
$136$	2.62002	+	1.26174i	0.224665	+	0.108193i
$137$	−8.56664	+	17.7888i	−0.731898	+	1.51980i	0.118092	+	0.993003i	$0.462322\pi$
$137$	−8.56664	+	17.7888i	−0.731898	+	1.51980i	−0.849990	+	0.526799i	$0.823392\pi$
$138$	1.16675	+	1.85687i	0.0993200	+	0.158067i
$139$	2.11663	−	1.68795i	0.179530	−	0.143170i	−0.529602	−	0.848246i	$-0.677659\pi$
$139$	2.11663	−	1.68795i	0.179530	−	0.143170i	0.709132	+	0.705076i	$0.249087\pi$
$140$	−0.193549	+	1.34535i	−0.0163578	+	0.113703i
$141$	0.366178	+	1.60433i	0.0308378	+	0.135109i
$142$	−0.668642	+	2.92951i	−0.0561112	+	0.245839i
$143$	−2.11379	−	1.68569i	−0.176764	−	0.140965i
$144$	−4.27380			−0.356150
$145$	9.08281	−	7.90585i	0.754287	−	0.656545i
$146$	9.70438			0.803140
$147$	−7.74688	−	6.17793i	−0.638952	−	0.509547i
$148$	−0.192395	+	0.842935i	−0.0158147	+	0.0692889i
$149$	2.49968	+	10.9518i	0.204781	+	0.897206i	0.967977	+	0.251039i	$0.0807721\pi$
$149$	2.49968	+	10.9518i	0.204781	+	0.897206i	−0.763196	+	0.646167i	$0.776371\pi$
$150$	−2.76848	−	6.78462i	−0.226046	−	0.553962i
$151$	8.23623	−	6.56818i	0.670255	−	0.534511i	−0.228179	−	0.973619i	$-0.573277\pi$
$151$	8.23623	−	6.56818i	0.670255	−	0.534511i	0.898434	+	0.439109i	$0.144706\pi$
$152$	−9.16930	−	14.5929i	−0.743729	−	1.18364i
$153$	−0.464822	+	0.965213i	−0.0375786	+	0.0780328i
$154$	4.91209	+	2.36554i	0.395828	+	0.190621i
$155$	4.92911	+	5.24128i	0.395915	+	0.420990i
$156$	0.145905	−	0.416972i	0.0116817	−	0.0333845i
$157$	8.95650			0.714807			0.357403	−	0.933950i	$-0.383662\pi$
$157$	8.95650			0.714807			0.357403	+	0.933950i	$0.383662\pi$
$158$	2.84217	−	8.12245i	0.226111	−	0.646187i
$159$	−1.33378	+	11.8376i	−0.105775	+	0.938782i
$160$	−1.70534	+	0.757705i	−0.134819	+	0.0599018i
$161$	−5.54374	+	2.66973i	−0.436908	+	0.210404i
$162$		−	1.46555i		−	0.115144i
$163$	−7.68004	−	15.9478i	−0.601547	−	1.24912i	−0.950132	−	0.311848i	$-0.899052\pi$
$163$	−7.68004	−	15.9478i	−0.601547	−	1.24912i	0.348585	−	0.937277i	$-0.386662\pi$
$164$	0.573669	−	0.912988i	0.0447960	−	0.0712924i
$165$	−2.01625	+	0.164719i	−0.156965	+	0.0128233i
$166$	9.85201	−	3.44737i	0.764664	−	0.267568i
$167$	12.4452	−	7.81983i	0.963037	−	0.605116i	0.0438923	−	0.999036i	$-0.486024\pi$
$167$	12.4452	−	7.81983i	0.963037	−	0.605116i	0.919145	+	0.393920i	$0.128881\pi$
$168$	1.24973	−	11.0917i	0.0964187	−	0.855740i
$169$	3.18142	+	2.53710i	0.244725	+	0.195162i
$170$	−0.107710	+	3.50908i	−0.00826100	+	0.269134i
$171$	5.37599	−	3.37796i	0.411113	−	0.258319i
$172$	−1.12123	+	1.40598i	−0.0854928	+	0.107205i
$173$	−12.2936	+	12.2936i	−0.934668	+	0.934668i	−0.997993	−	0.0633253i	$-0.979829\pi$
$173$	−12.2936	+	12.2936i	−0.934668	+	0.934668i	0.0633253	+	0.997993i	$0.479829\pi$
$174$	5.79121	−	5.36179i	0.439030	−	0.406476i
$175$	19.7862	−	5.58755i	1.49570	−	0.422379i
$176$	0.432910	+	3.84218i	0.0326318	+	0.289615i
$177$	6.83487	+	1.56001i	0.513740	+	0.117258i
$178$	−7.61993	−	4.78792i	−0.571138	−	0.358870i
$179$	6.33034	−	7.93800i	0.473152	−	0.593314i	−0.486788	−	0.873520i	$-0.661832\pi$
$179$	6.33034	−	7.93800i	0.473152	−	0.593314i	0.959940	+	0.280206i	$0.0904029\pi$
$180$	−0.134213	−	0.302069i	−0.0100036	−	0.0225149i
$181$	4.89621	−	21.4517i	0.363933	−	1.59449i	−0.379178	−	0.925324i	$-0.623793\pi$
$181$	4.89621	−	21.4517i	0.363933	−	1.59449i	0.743110	−	0.669169i	$-0.233350\pi$
$182$	16.2259	+	7.81398i	1.20274	+	0.579211i
$183$	4.15478	−	1.45382i	0.307130	−	0.107469i
$184$	−3.43924	−	2.16102i	−0.253544	−	0.159312i
$185$	12.8340	−	2.51771i	0.943578	−	0.185106i
$186$	3.33447	+	3.33447i	0.244495	+	0.244495i
$187$	0.914818	+	0.320109i	0.0668981	+	0.0234087i
$188$	0.151668	+	0.190186i	0.0110615	+	0.0138707i
$189$	4.08615	+	0.460399i	0.297224	+	0.0334891i
$190$	11.6051	−	17.2695i	0.841921	−	1.25286i
$191$	−5.40033	+	5.40033i	−0.390754	+	0.390754i	−0.874956	−	0.484202i	$-0.839110\pi$
$191$	−5.40033	+	5.40033i	−0.390754	+	0.390754i	0.484202	+	0.874956i	$0.339110\pi$
$192$	6.59917	−	3.17799i	0.476254	−	0.229352i
$193$	−3.14411	−	13.7752i	−0.226318	−	0.991564i	−0.952614	−	0.304182i	$-0.901617\pi$
$193$	−3.14411	−	13.7752i	−0.226318	−	0.991564i	0.726296	−	0.687382i	$-0.241240\pi$
$194$	−10.3578	+	21.5082i	−0.743648	+	1.54420i
$195$	−6.66018	+	0.544108i	−0.476945	+	0.0389644i
$196$	−1.42800	−	0.325933i	−0.102000	−	0.0232809i
$197$	−5.25505	−	0.592102i	−0.374407	−	0.0421855i	−0.0772437	−	0.997012i	$-0.524612\pi$
$197$	−5.25505	−	0.592102i	−0.374407	−	0.0421855i	−0.297163	+	0.954827i	$0.596041\pi$
$198$	−1.31754	+	0.148451i	−0.0936333	+	0.0105499i
$199$	3.13849	−	0.716339i	0.222481	−	0.0507799i	−0.109827	−	0.993951i	$-0.535030\pi$
$199$	3.13849	−	0.716339i	0.222481	−	0.0507799i	0.332308	+	0.943171i	$0.392173\pi$
$200$	10.0722	+	9.09703i	0.712214	+	0.643257i
$201$	14.9140	−	1.68041i	1.05196	−	0.118527i
$202$	11.9370	+	11.9370i	0.839881	+	0.839881i
$203$	13.1302	+	17.8311i	0.921556	+	1.25150i
$204$			0.158364i			0.0110877i
$205$	−16.1442	−	2.32259i	−1.12756	−	0.162217i
$206$	−5.51500	−	8.77707i	−0.384248	−	0.611527i
$207$	0.796117	−	1.26701i	0.0553340	−	0.0880635i
$208$	1.43001	+	12.6917i	0.0991534	+	0.880011i
$209$	−3.58137	−	4.49090i	−0.247729	−	0.310642i
$210$	12.8497	−	4.05829i	0.886711	−	0.280048i
$211$	−6.99019	−	19.9768i	−0.481225	−	1.37526i	−0.887203	−	0.461379i	$-0.847355\pi$
$211$	−6.99019	−	19.9768i	−0.481225	−	1.37526i	0.405979	−	0.913883i	$-0.366931\pi$
$212$	0.581604	+	1.66213i	0.0399447	+	0.114155i
$213$	1.99892	−	0.456241i	0.136964	−	0.0312611i
$214$	11.8319	+	4.14018i	0.808815	+	0.283017i
$215$	26.3221	+	6.86389i	1.79515	+	0.468114i
$216$	1.17776	+	2.44563i	0.0801361	+	0.166404i
$217$	−10.3445	+	8.24946i	−0.702230	+	0.560010i
$218$	−8.08660	+	6.44885i	−0.547694	+	0.436771i
$219$	−2.87304	−	5.96593i	−0.194142	−	0.403140i
$220$	−0.257968	+	0.151256i	−0.0173922	+	0.0101977i
$221$	3.02188	+	1.05740i	0.203274	+	0.0711285i
$222$	8.35700	−	1.90743i	0.560885	−	0.128018i
$223$	4.79876	+	13.7141i	0.321349	+	0.918362i	0.985337	+	0.170619i	$0.0545768\pi$
$223$	4.79876	+	13.7141i	0.321349	+	0.918362i	−0.663988	+	0.747743i	$0.731137\pi$
$224$	−1.13340	−	3.23908i	−0.0757286	−	0.216420i
$225$	−3.35134	+	3.71060i	−0.223422	+	0.247373i
$226$	14.9051	+	18.6904i	0.991474	+	1.24327i
$227$	−1.39138	−	12.3488i	−0.0923489	−	0.819619i	−0.951448	−	0.307810i	$-0.900404\pi$
$227$	−1.39138	−	12.3488i	−0.0923489	−	0.819619i	0.859099	−	0.511809i	$-0.171025\pi$
$228$	0.499342	−	0.794698i	0.0330697	−	0.0526302i
$229$	0.544267	+	0.866196i	0.0359662	+	0.0572398i	0.864223	−	0.503108i	$-0.167810\pi$
$229$	0.544267	+	0.866196i	0.0359662	+	0.0572398i	−0.828257	+	0.560348i	$0.810667\pi$
$230$	0.698282	−	4.85372i	0.0460434	−	0.320045i
$231$		−	3.72012i		−	0.244766i
$232$	−5.35521	+	13.6015i	−0.351587	+	0.892982i
$233$	4.42015	+	4.42015i	0.289574	+	0.289574i	0.836912	−	0.547338i	$-0.184359\pi$
$233$	4.42015	+	4.42015i	0.289574	+	0.289574i	−0.547338	+	0.836912i	$0.684359\pi$
$234$	−4.35216	+	0.490371i	−0.284510	+	0.0320566i
$235$	1.69750	−	3.26471i	0.110733	−	0.212966i
$236$	1.01035	−	0.230607i	0.0657684	−	0.0150112i
$237$	−5.83485	+	0.657430i	−0.379015	+	0.0427047i
$238$	−6.41545	−	0.722848i	−0.415852	−	0.0468553i
$239$	−16.3683	−	3.73595i	−1.05877	−	0.241658i	−0.342530	−	0.939507i	$-0.611284\pi$
$239$	−16.3683	−	3.73595i	−1.05877	−	0.241658i	−0.716245	+	0.697849i	$0.754141\pi$
$240$	7.28525	+	6.18480i	0.470261	+	0.399227i
$241$	0.622638	−	1.29292i	0.0401077	−	0.0832844i	−0.879952	−	0.475062i	$-0.842426\pi$
$241$	0.622638	−	1.29292i	0.0401077	−	0.0832844i	0.920060	+	0.391778i	$0.128140\pi$
$242$	−3.32034	−	14.5474i	−0.213440	−	0.935140i
$243$	−0.900969	+	0.433884i	−0.0577972	+	0.0278337i
$244$	0.460106	−	0.460106i	0.0294552	−	0.0294552i
$245$	4.26521	+	21.7419i	0.272494	+	1.38904i
$246$	−10.6228	−	1.19690i	−0.677286	−	0.0763118i
$247$	−11.8302	−	14.8346i	−0.752737	−	0.943902i
$248$	−8.24408	−	2.88473i	−0.523500	−	0.183180i
$249$	−5.03607	−	5.03607i	−0.319148	−	0.319148i
$250$	−5.09909	+	15.5717i	−0.322495	+	0.984839i
$251$	1.51983	+	0.954970i	0.0959306	+	0.0602772i	0.579143	−	0.815226i	$-0.303387\pi$
$251$	1.51983	+	0.954970i	0.0959306	+	0.0602772i	−0.483212	+	0.875503i	$0.660530\pi$
$252$	0.573741	−	0.200761i	0.0361423	−	0.0126467i
$253$	−1.21970	−	0.587376i	−0.0766817	−	0.0369280i
$254$	4.52276	−	19.8155i	0.283783	−	1.24334i
$255$	2.18915	−	0.972667i	0.137090	−	0.0609108i
$256$	2.20021	−	2.75897i	0.137513	−	0.172436i
$257$	12.0178	+	7.55128i	0.749649	+	0.471036i	0.851888	−	0.523724i	$-0.175458\pi$
$257$	12.0178	+	7.55128i	0.749649	+	0.471036i	−0.102239	+	0.994760i	$0.532601\pi$
$258$	17.3817	+	3.96727i	1.08214	+	0.246991i
$259$	2.69285	+	23.8997i	0.167326	+	1.48506i
$260$	−0.852133	+	0.499638i	−0.0528471	+	0.0309863i
$261$	−5.01077	−	1.97285i	−0.310159	−	0.122116i
$262$	−8.51415	+	8.51415i	−0.526006	+	0.526006i
$263$	−7.87949	+	9.88057i	−0.485870	+	0.609262i	−0.962977	−	0.269583i	$-0.913114\pi$
$263$	−7.87949	+	9.88057i	−0.485870	+	0.609262i	0.477107	+	0.878845i	$0.341685\pi$
$264$	2.07935	−	1.30654i	0.127975	−	0.0804120i
$265$	19.4043	−	18.2486i	1.19200	−	1.12100i
$266$	29.9146	+	23.8561i	1.83418	+	1.46271i
$267$	−0.687527	+	6.10197i	−0.0420760	+	0.373435i
$268$	1.87854	−	1.18036i	0.114750	−	0.0721022i
$269$	11.3064	−	3.95629i	0.689365	−	0.241219i	0.0372127	−	0.999307i	$-0.488152\pi$
$269$	11.3064	−	3.95629i	0.689365	−	0.241219i	0.652152	+	0.758088i	$0.273866\pi$
$270$	−2.12086	+	2.49822i	−0.129071	+	0.152037i
$271$	5.30168	−	8.43758i	0.322054	−	0.512546i	−0.645983	−	0.763351i	$-0.723553\pi$
$271$	5.30168	−	8.43758i	0.322054	−	0.512546i	0.968038	+	0.250805i	$0.0806954\pi$
$272$	−1.98655	−	4.12512i	−0.120453	−	0.250122i
$273$		−	12.2885i		−	0.743735i
$274$	26.0703	−	12.5548i	1.57497	−	0.758464i
$275$	3.67533	+	2.63702i	0.221631	+	0.159018i
$276$	0.0247664	−	0.219808i	0.00149076	−	0.0132309i
$277$	−6.60180	+	18.8669i	−0.396664	+	1.13360i	0.556422	+	0.830900i	$0.312174\pi$
$277$	−6.60180	+	18.8669i	−0.396664	+	1.13360i	−0.953086	+	0.302700i	$0.902112\pi$
$278$	−3.96762			−0.237962
$279$	1.06273	−	3.03711i	0.0636240	−	0.181827i
$280$	−18.1816	+	17.0987i	−1.08656	+	1.02184i
$281$	−9.29519	−	4.47633i	−0.554505	−	0.267035i	0.135577	−	0.990767i	$-0.456711\pi$
$281$	−9.29519	−	4.47633i	−0.554505	−	0.267035i	−0.690082	+	0.723731i	$0.742425\pi$
$282$	1.04639	−	2.17285i	0.0623117	−	0.129392i
$283$	−6.14017	−	9.77202i	−0.364995	−	0.580886i	0.612854	−	0.790196i	$-0.290021\pi$
$283$	−6.14017	−	9.77202i	−0.364995	−	0.580886i	−0.977849	+	0.209310i	$0.932878\pi$
$284$	0.236963	−	0.188972i	0.0140612	−	0.0112134i
$285$	−14.0525	−	2.02167i	−0.832398	−	0.119753i
$286$	0.881696	+	3.86296i	0.0521358	+	0.228422i
$287$	6.67429	−	29.2420i	0.393971	−	1.72610i
$288$	0.652472	+	0.520329i	0.0384473	+	0.0306607i
$289$	15.8523			0.932489
$290$	−17.6312	+	0.759158i	−1.03534	+	0.0445793i
$291$	16.2890			0.954880
$292$	−0.765288	−	0.610297i	−0.0447851	−	0.0357149i
$293$	4.03987	−	17.6998i	0.236012	−	1.03404i	−0.708539	−	0.705671i	$-0.750646\pi$
$293$	4.03987	−	17.6998i	0.236012	−	1.03404i	0.944551	−	0.328364i	$-0.106497\pi$
$294$	3.23135	+	14.1575i	0.188456	+	0.825680i
$295$	−9.39337	−	12.5503i	−0.546903	−	0.730707i
$296$	−12.4129	+	9.89896i	−0.721485	+	0.575365i
$297$	0.481328	+	0.766029i	0.0279295	+	0.0444495i
$298$	7.14308	−	14.8328i	0.413787	−	0.859238i
$299$	−4.02897	−	1.94025i	−0.233002	−	0.112208i
$300$	−0.208354	+	0.709142i	−0.0120293	+	0.0409424i
$301$	−16.5218	+	47.2165i	−0.952299	+	2.72151i
$302$	−15.4388			−0.888406
$303$	3.80444	−	10.8725i	0.218559	−	0.624606i
$304$	−3.03816	+	26.9644i	−0.174250	+	1.54652i
$305$	−9.18625	−	3.53434i	−0.526003	−	0.202376i
$306$	1.41456	−	0.681218i	0.0808652	−	0.0389426i
$307$		−	20.8093i		−	1.18765i	−0.804594	−	0.593826i	$-0.797617\pi$
$307$		−	20.8093i		−	1.18765i	0.804594	−	0.593826i	$-0.202383\pi$
$308$	−0.238602	−	0.495462i	−0.0135956	−	0.0282316i
$309$	−3.76310	+	5.98894i	−0.214075	+	0.340699i
$310$	−0.858580	−	10.5095i	−0.0487641	−	0.596899i
$311$	−10.5903	+	3.70571i	−0.600522	+	0.210132i	−0.613383	−	0.789785i	$-0.710192\pi$
$311$	−10.5903	+	3.70571i	−0.600522	+	0.210132i	0.0128609	+	0.999917i	$0.495906\pi$
$312$	6.86861	−	4.31584i	0.388859	−	0.244336i
$313$	−1.92989	+	17.1282i	−0.109084	+	0.968145i	0.813293	+	0.581854i	$0.197673\pi$
$313$	−1.92989	+	17.1282i	−0.109084	+	0.968145i	−0.922377	+	0.386291i	$0.873756\pi$
$314$	−10.2624	−	8.18403i	−0.579143	−	0.461852i
$315$	−6.29913	−	6.69807i	−0.354915	−	0.377394i
$316$	−0.734945	+	0.461796i	−0.0413439	+	0.0259781i
$317$	−1.89200	+	2.37249i	−0.106265	+	0.133252i	−0.832120	−	0.554595i	$-0.812873\pi$
$317$	−1.89200	+	2.37249i	−0.106265	+	0.133252i	0.725855	+	0.687848i	$0.241444\pi$
$318$	12.3449	−	12.3449i	0.692267	−	0.692267i
$319$	−1.26605	+	4.70457i	−0.0708852	+	0.263405i
$320$	−15.8482	−	4.13265i	−0.885940	−	0.231022i
$321$	−0.957676	−	8.49961i	−0.0534523	−	0.474402i
$322$	8.79154	+	2.00661i	0.489934	+	0.111824i
$323$	5.75933	+	3.61883i	0.320458	+	0.201357i
$324$	−0.0921664	+	0.115573i	−0.00512036	+	0.00642072i
$325$	12.1406	+	8.71074i	0.673437	+	0.483185i
$326$	−5.77245	+	25.2907i	−0.319706	+	1.40073i
$327$	6.35863	+	3.06215i	0.351633	+	0.169337i
$328$	18.6887	−	6.53947i	1.03191	−	0.361082i
$329$	5.72951	+	3.60009i	0.315878	+	0.198479i
$330$	2.46075	+	1.65362i	0.135460	+	0.0910285i
$331$	1.81891	+	1.81891i	0.0999764	+	0.0999764i	0.755326	−	0.655349i	$-0.227479\pi$
$331$	1.81891	+	1.81891i	0.0999764	+	0.0999764i	−0.655349	+	0.755326i	$0.727479\pi$
$332$	−0.993731	−	0.347722i	−0.0545381	−	0.0190837i
$333$	−3.64677	−	4.57290i	−0.199842	−	0.250593i
$334$	−21.4052	−	2.41179i	−1.17124	−	0.131967i
$335$	−27.8547	−	18.7183i	−1.52187	−	1.02269i
$336$	−12.4266	+	12.4266i	−0.677927	+	0.677927i
$337$	−14.5504	+	7.00711i	−0.792611	+	0.381702i	−0.785961	−	0.618276i	$-0.787831\pi$
$337$	−14.5504	+	7.00711i	−0.792611	+	0.381702i	−0.00665065	+	0.999978i	$0.502117\pi$
$338$	−1.32702	−	5.81407i	−0.0721805	−	0.316244i
$339$	7.07751	−	14.6966i	0.384397	−	0.798209i
$340$	0.229176	−	0.269952i	0.0124288	−	0.0146402i
$341$	−2.83804	−	0.647763i	−0.153688	−	0.0350783i
$342$	−9.24649	−	1.04183i	−0.499993	−	0.0563356i
$343$	−11.8851	+	1.33913i	−0.641735	+	0.0723062i
$344$	−32.1940	+	7.34808i	−1.73579	+	0.396182i
$345$	−3.19064	+	1.00769i	−0.171778	+	0.0542524i
$346$	25.3195	−	2.85282i	1.36118	−	0.153369i
$347$	16.8690	+	16.8690i	0.905573	+	0.905573i	0.995911	−	0.0903383i	$-0.0287948\pi$
$347$	16.8690	+	16.8690i	0.905573	+	0.905573i	−0.0903383	+	0.995911i	$0.528795\pi$
$348$	−0.793892	+	0.0586290i	−0.0425571	+	0.00314284i
$349$		−	20.0185i		−	1.07157i	−0.844355	−	0.535783i	$-0.820016\pi$
$349$		−	20.0185i		−	1.07157i	0.844355	−	0.535783i	$-0.179984\pi$
$350$	−27.7769	−	11.6775i	−1.48474	−	0.624186i
$351$	1.58995	+	2.53039i	0.0848652	+	0.135062i
$352$	0.401689	−	0.639284i	0.0214101	−	0.0340740i
$353$	−1.84254	−	16.3530i	−0.0980684	−	0.870381i	−0.942384	−	0.334534i	$-0.891421\pi$
$353$	−1.84254	−	16.3530i	−0.0980684	−	0.870381i	0.844315	−	0.535847i	$-0.180008\pi$
$354$	−6.40599	−	8.03286i	−0.340475	−	0.426942i
$355$	−4.06768	−	2.11501i	−0.215890	−	0.112253i
$356$	0.299802	+	0.856784i	0.0158895	+	0.0454095i
$357$	1.45495	+	4.15801i	0.0770042	+	0.220065i
$358$	−14.5067	+	3.31107i	−0.766705	+	0.174995i
$359$	11.5373	+	4.03709i	0.608918	+	0.213070i	0.617084	−	0.786897i	$-0.288314\pi$
$359$	11.5373	+	4.03709i	0.608918	+	0.213070i	−0.00816639	+	0.999967i	$0.502599\pi$
$360$	1.53155	−	5.87329i	0.0807197	−	0.309550i
$361$	−9.24690	−	19.2014i	−0.486679	−	1.01060i
$362$	−25.2117	+	20.1056i	−1.32510	+	1.05673i
$363$	−7.96024	+	6.34808i	−0.417804	+	0.333188i
$364$	−0.788163	−	1.63664i	−0.0413110	−	0.0857831i
$365$	−3.73609	+	14.3274i	−0.195556	+	0.749932i
$366$	−6.08901	−	2.13064i	−0.318278	−	0.111370i
$367$	19.4058	−	4.42924i	1.01297	−	0.231205i	0.316351	−	0.948642i	$-0.397542\pi$
$367$	19.4058	−	4.42924i	1.01297	−	0.231205i	0.696623	+	0.717438i	$0.254685\pi$
$368$	2.11219	+	6.03631i	0.110106	+	0.314664i
$369$	2.40913	+	6.88491i	0.125414	+	0.358414i
$370$	−17.0059	−	8.84232i	−0.884096	−	0.459691i
$371$	30.5412	+	38.2975i	1.58562	+	1.98830i
$372$	−0.0532557	−	0.472657i	−0.00276118	−	0.0245061i
$373$	−1.07286	+	1.70745i	−0.0555507	+	0.0884085i	−0.873345	−	0.487102i	$-0.838054\pi$
$373$	−1.07286	+	1.70745i	−0.0555507	+	0.0884085i	0.817794	+	0.575511i	$0.195197\pi$
$374$	−0.755707	−	1.20270i	−0.0390767	−	0.0621902i
$375$	11.0826	−	1.47534i	0.572302	−	0.0761861i
$376$			4.46687i			0.230361i
$377$	−4.18209	+	15.5404i	−0.215388	+	0.800371i
$378$	−4.26126	−	4.26126i	−0.219176	−	0.219176i
$379$	7.09816	−	0.799771i	0.364608	−	0.0410815i	0.0722399	−	0.997387i	$-0.476985\pi$
$379$	7.09816	−	0.799771i	0.364608	−	0.0410815i	0.292368	+	0.956306i	$0.405557\pi$
$380$	−2.00124	+	0.632047i	−0.102661	+	0.0324233i
$381$	−13.5209	+	3.08606i	−0.692697	+	0.158104i
$382$	11.1223	−	1.25318i	0.569067	−	0.0641185i
$383$	−5.17210	−	0.582755i	−0.264282	−	0.0297774i	−0.0211707	−	0.999776i	$-0.506739\pi$
$383$	−5.17210	−	0.582755i	−0.264282	−	0.0297774i	−0.243111	+	0.969998i	$0.578168\pi$
$384$	−12.0925	−	2.76004i	−0.617095	−	0.140848i
$385$	−5.38356	+	6.34144i	−0.274372	+	0.323190i
$386$	−8.98462	+	18.6568i	−0.457305	+	0.949604i
$387$	−2.70702	−	11.8602i	−0.137606	−	0.602890i
$388$	2.16944	−	1.04475i	0.110137	−	0.0530391i
$389$	19.2546	−	19.2546i	0.976245	−	0.976245i	−0.0234795	−	0.999724i	$-0.507474\pi$
$389$	19.2546	−	19.2546i	0.976245	−	0.976245i	0.999724	+	0.0234795i	$0.00747444\pi$
$390$	8.12848	+	5.46231i	0.411601	+	0.276595i
$391$	1.59299	+	0.179487i	0.0805610	+	0.00907704i
$392$	−16.7697	−	21.0285i	−0.846996	−	1.06210i
$393$	7.75488	+	2.71355i	0.391182	+	0.136881i
$394$	5.48025	+	5.48025i	0.276091	+	0.276091i
$395$	10.8977	+	7.32321i	0.548322	+	0.368471i
$396$	0.113237	+	0.0711516i	0.00569038	+	0.00357550i
$397$	−33.1100	+	11.5857i	−1.66174	+	0.581469i	−0.987580	−	0.157114i	$-0.949781\pi$
$397$	−33.1100	+	11.5857i	−1.66174	+	0.581469i	−0.674162	+	0.738583i	$0.735495\pi$
$398$	−4.25066	−	2.04701i	−0.213066	−	0.102607i
$399$	5.80954	−	25.4533i	0.290841	−	1.27426i
$400$	−3.46836	−	21.0856i	−0.173418	−	1.05428i
$401$	21.4284	−	26.8703i	1.07008	−	1.34184i	0.133636	−	0.991031i	$-0.457335\pi$
$401$	21.4284	−	26.8703i	1.07008	−	1.34184i	0.936447	−	0.350810i	$-0.114094\pi$
$402$	−18.6241	−	11.7023i	−0.928887	−	0.583658i
$403$	−9.37476	−	2.13973i	−0.466990	−	0.106587i
$404$	−0.190648	−	1.69205i	−0.00948511	−	0.0841827i
$405$	2.16371	+	0.564221i	0.107516	+	0.0280364i
$406$	1.24859	−	32.4288i	0.0619664	−	1.60941i
$407$	−3.74168	+	3.74168i	−0.185468	+	0.185468i
$408$	−1.81311	+	2.27357i	−0.0897623	+	0.112558i
$409$	23.1983	−	14.5765i	1.14708	−	0.720759i	0.182153	−	0.983270i	$-0.441693\pi$
$409$	23.1983	−	14.5765i	1.14708	−	0.720759i	0.964929	+	0.262511i	$0.0845505\pi$
$410$	16.3759	+	17.4130i	0.808748	+	0.859969i
$411$	−15.4366	−	12.3102i	−0.761429	−	0.607220i
$412$	−0.117066	+	1.03899i	−0.00576744	+	0.0511875i
$413$	24.4092	−	15.3373i	1.20110	−	0.754701i
$414$	−2.06994	+	0.724302i	−0.101732	+	0.0355975i
$415$	1.29672	+	15.8726i	0.0636535	+	0.779155i
$416$	1.32688	−	2.11172i	0.0650557	−	0.103536i
$417$	1.17464	+	2.43916i	0.0575223	+	0.119446i
$418$			8.41820i			0.411748i
$419$	−3.44719	+	1.66008i	−0.168406	+	0.0811002i	−0.516188	−	0.856475i	$-0.672649\pi$
$419$	−3.44719	+	1.66008i	−0.168406	+	0.0811002i	0.347782	+	0.937576i	$0.386935\pi$
$420$	−1.26855	−	0.488064i	−0.0618988	−	0.0238151i
$421$	−2.51209	+	22.2954i	−0.122432	+	1.08661i	0.770819	+	0.637054i	$0.219847\pi$
$421$	−2.51209	+	22.2954i	−0.122432	+	1.08661i	−0.893251	+	0.449559i	$0.851581\pi$
$422$	−10.2444	+	29.2769i	−0.498692	+	1.42518i
$423$	−1.64559			−0.0800113
$424$	−10.6799	+	30.5213i	−0.518660	+	1.48224i
$425$	−5.13929	−	1.50998i	−0.249292	−	0.0732450i
$426$	−2.70728	−	1.30376i	−0.131168	−	0.0631672i
$427$	7.85338	−	16.3077i	0.380052	−	0.789186i
$428$	−0.672697	−	1.07059i	−0.0325160	−	0.0517490i
$429$	2.11379	−	1.68569i	0.102055	−	0.0813859i
$430$	−23.8882	−	31.9166i	−1.15199	−	1.53916i
$431$	−6.70421	−	29.3731i	−0.322930	−	1.41485i	−0.832311	−	0.554309i	$-0.812982\pi$
$431$	−6.70421	−	29.3731i	−0.322930	−	1.41485i	0.509380	−	0.860541i	$-0.329875\pi$
$432$	0.951009	−	4.16664i	0.0457554	−	0.200468i
$433$	2.92791	+	2.33493i	0.140706	+	0.112210i	0.691314	−	0.722555i	$-0.257032\pi$
$433$	2.92791	+	2.33493i	0.140706	+	0.112210i	−0.550607	+	0.834765i	$0.685604\pi$
$434$	19.3908			0.930788
$435$	5.68652	+	10.6143i	0.272648	+	0.508917i
$436$	1.04327			0.0499636
$437$	−7.42795	−	5.92359i	−0.355327	−	0.283364i
$438$	−2.15943	+	9.46107i	−0.103181	+	0.452068i
$439$	4.46228	+	19.5505i	0.212973	+	0.933095i	0.962534	+	0.271160i	$0.0874073\pi$
$439$	4.46228	+	19.5505i	0.212973	+	0.933095i	−0.749561	+	0.661935i	$0.769736\pi$
$440$	−5.43527	−	0.781947i	−0.259117	−	0.0372779i
$441$	7.74688	−	6.17793i	0.368899	−	0.294187i
$442$	−2.49629	−	3.97283i	−0.118737	−	0.188968i
$443$	5.44029	−	11.2969i	0.258476	−	0.536731i	−0.730835	−	0.682554i	$-0.760869\pi$
$443$	5.44029	−	11.2969i	0.258476	−	0.536731i	0.989311	+	0.145824i	$0.0465833\pi$
$444$	−0.778989	−	0.375142i	−0.0369692	−	0.0178034i
$445$	10.0024	−	9.40667i	0.474160	−	0.445919i
$446$	7.03280	−	20.0986i	0.333013	−	0.951696i
$447$	−11.2334			−0.531323
$448$	9.94752	−	28.4284i	0.469976	−	1.34311i
$449$	−0.450491	+	3.99822i	−0.0212600	+	0.188688i	−0.999854	−	0.0171149i	$-0.994552\pi$
$449$	−0.450491	+	3.99822i	−0.0212600	+	0.188688i	0.978594	+	0.205803i	$0.0659805\pi$
$450$	7.23056	−	1.18935i	0.340852	−	0.0560664i
$451$	5.94556	−	2.86323i	0.279966	−	0.134824i
$452$		−	2.41129i		−	0.113418i
$453$	4.57076	+	9.49129i	0.214753	+	0.445940i
$454$	−9.68950	+	15.4208i	−0.454751	+	0.723732i
$455$	−17.7833	+	20.9474i	−0.833693	+	0.982029i
$456$	16.2673	−	5.69219i	0.761788	−	0.266561i
$457$	−28.0555	+	17.6284i	−1.31238	+	0.824624i	−0.992430	−	0.122810i	$-0.960809\pi$
$457$	−28.0555	+	17.6284i	−1.31238	+	0.824624i	−0.319951	+	0.947434i	$0.603666\pi$
$458$	0.167862	−	1.48982i	0.00784370	−	0.0696147i
$459$	−0.837580	−	0.667948i	−0.0390949	−	0.0311771i
$460$	−0.360312	+	0.338851i	−0.0167996	+	0.0157990i
$461$	16.4539	−	10.3387i	0.766334	−	0.481519i	−0.0912727	−	0.995826i	$-0.529093\pi$
$461$	16.4539	−	10.3387i	0.766334	−	0.481519i	0.857606	+	0.514307i	$0.171951\pi$
$462$	−3.39927	+	4.26255i	−0.158148	+	0.198312i
$463$	1.89782	−	1.89782i	0.0881993	−	0.0881993i	−0.661631	−	0.749830i	$-0.730135\pi$
$463$	1.89782	−	1.89782i	0.0881993	−	0.0881993i	0.749830	+	0.661631i	$0.230135\pi$
$464$	19.9441	−	11.4859i	0.925882	−	0.533221i
$465$	−6.20670	+	3.63923i	−0.287829	+	0.168765i
$466$	−1.02573	−	9.10357i	−0.0475158	−	0.421715i
$467$	−3.78102	−	0.862993i	−0.174965	−	0.0399345i	0.134141	−	0.990962i	$-0.457173\pi$
$467$	−3.78102	−	0.862993i	−0.174965	−	0.0399345i	−0.309106	+	0.951028i	$0.600030\pi$
$468$	0.374051	+	0.235032i	0.0172905	+	0.0108643i
$469$	38.4785	−	48.2505i	1.77677	−	2.22800i
$470$	−4.92815	+	2.18964i	−0.227318	+	0.101000i
$471$	−1.99301	+	8.73195i	−0.0918330	+	0.402347i
$472$	17.1455	+	8.25682i	0.789184	+	0.380051i
$473$	−10.3883	+	3.63501i	−0.477653	+	0.167138i
$474$	7.28636	+	4.57832i	0.334674	+	0.210289i
$475$	21.0287	+	23.7822i	0.964862	+	1.09120i
$476$	0.460464	+	0.460464i	0.0211053	+	0.0211053i
$477$	−11.2440	−	3.93445i	−0.514827	−	0.180146i
$478$	15.3412	+	19.2372i	0.701689	+	0.879890i
$479$	−9.21094	−	1.03782i	−0.420859	−	0.0474194i	−0.101004	−	0.994886i	$-0.532206\pi$
$479$	−9.21094	−	1.03782i	−0.420859	−	0.0474194i	−0.319855	+	0.947467i	$0.603634\pi$
$480$	−0.359233	−	1.83119i	−0.0163967	−	0.0835821i
$481$	−12.3597	+	12.3597i	−0.563555	+	0.563555i
$482$	−1.89484	+	0.912505i	−0.0863074	+	0.0415635i
$483$	−1.36919	−	5.99882i	−0.0623004	−	0.272956i
$484$	−0.653025	+	1.35602i	−0.0296829	+	0.0616372i
$485$	−27.7668	−	23.5726i	−1.26083	−	1.07038i
$486$	1.42880	+	0.326115i	0.0648117	+	0.0147929i
$487$	4.70119	+	0.529697i	0.213031	+	0.0240028i	0.217835	−	0.975986i	$-0.430101\pi$
$487$	4.70119	+	0.529697i	0.213031	+	0.0240028i	−0.00480382	+	0.999988i	$0.501529\pi$
$488$	11.8733	−	1.33780i	0.537479	−	0.0605594i
$489$	17.2569	−	3.93877i	0.780383	−	0.178117i
$490$	14.9796	−	28.8095i	0.676711	−	1.30148i
$491$	−25.2186	+	2.84146i	−1.13810	+	0.128233i	−0.660839	−	0.750528i	$-0.729799\pi$
$491$	−25.2186	+	2.84146i	−1.13810	+	0.128233i	−0.477262	+	0.878761i	$0.658371\pi$
$492$	0.762445	+	0.762445i	0.0343737	+	0.0343737i
$493$	−0.424896	−	5.75349i	−0.0191363	−	0.259124i
$494$			27.8075i			1.25112i
$495$	0.288068	−	2.00235i	0.0129477	−	0.0899989i
$496$	7.31634	+	11.6439i	0.328513	+	0.522826i
$497$	4.48555	−	7.13871i	0.201204	−	0.320215i
$498$	1.16866	+	10.3721i	0.0523687	+	0.464785i
$499$	5.63291	+	7.06345i	0.252164	+	0.316203i	0.891761	−	0.452507i	$-0.149470\pi$
$499$	5.63291	+	7.06345i	0.252164	+	0.316203i	−0.639597	+	0.768710i	$0.720899\pi$
$500$	1.38140	−	0.907308i	0.0617781	−	0.0405760i
$501$	4.85445	+	13.8732i	0.216881	+	0.619810i
$502$	−0.868825	−	2.48296i	−0.0387776	−	0.110820i
$503$	27.6924	−	6.32062i	1.23474	−	0.281822i	0.445153	−	0.895455i	$-0.353149\pi$
$503$	27.6924	−	6.32062i	1.23474	−	0.281822i	0.789592	+	0.613632i	$0.210292\pi$
$504$	10.5355	+	3.68652i	0.469287	+	0.164211i
$505$	−22.2192	+	13.0280i	−0.988741	+	0.579737i
$506$	0.860825	+	1.78752i	0.0382684	+	0.0794651i
$507$	−3.18142	+	2.53710i	−0.141292	+	0.112677i
$508$	−1.60284	+	1.27822i	−0.0711145	+	0.0567119i
$509$	−17.4811	−	36.2998i	−0.774835	−	1.60896i	−0.793072	−	0.609128i	$-0.791519\pi$
$509$	−17.4811	−	36.2998i	−0.774835	−	1.60896i	0.0182364	−	0.999834i	$-0.494195\pi$
$510$	−3.39713	−	0.885853i	−0.150427	−	0.0392262i
$511$	−25.7005	−	8.99298i	−1.13692	−	0.397826i
$512$	19.1430	−	4.36927i	0.846010	−	0.193096i
$513$	2.09700	+	5.99287i	0.0925847	+	0.264592i
$514$	−6.87010	−	19.6336i	−0.303027	−	0.866002i
$515$	15.0816	−	4.76319i	0.664574	−	0.209891i
$516$	−1.12123	−	1.40598i	−0.0493593	−	0.0618946i
$517$	0.166688	+	1.47940i	0.00733094	+	0.0650639i
$518$	18.7530	−	29.8452i	0.823958	−	1.31132i
$519$	−9.24982	−	14.7210i	−0.406022	−	0.646180i
$520$	−17.9541	−	2.58297i	−0.787339	−	0.113271i
$521$			38.2243i			1.67464i	0.546714	+	0.837319i	$0.315878\pi$
$521$			38.2243i			1.67464i	−0.546714	+	0.837319i	$0.684122\pi$
$522$	3.93869	+	6.83912i	0.172392	+	0.299340i
$523$	−18.8087	−	18.8087i	−0.822446	−	0.822446i	0.164012	−	0.986458i	$-0.447556\pi$
$523$	−18.8087	−	18.8087i	−0.822446	−	0.822446i	−0.986458	+	0.164012i	$0.947556\pi$
$524$	1.20687	−	0.135982i	0.0527224	−	0.00594039i
$525$	1.04461	+	20.5335i	0.0455904	+	0.896155i
$526$	18.0568	−	4.12134i	0.787313	−	0.179699i
$527$	3.42544	−	0.385954i	0.149214	−	0.0168124i
$528$	−3.84218	−	0.432910i	−0.167209	−	0.0188400i
$529$	20.2404	+	4.61973i	0.880015	+	0.200858i
$530$	−38.9083	+	3.17864i	−1.69007	+	0.138071i
$531$	−3.04180	+	6.31637i	−0.132003	+	0.274107i
$532$	−0.858786	−	3.76259i	−0.0372331	−	0.163129i
$533$	19.6397	−	9.45798i	0.850690	−	0.409671i
$534$	6.36347	−	6.36347i	0.275374	−	0.275374i
$535$	−10.6677	+	15.8746i	−0.461204	+	0.686319i
$536$	40.4834	+	4.56138i	1.74862	+	0.197022i
$537$	6.33034	+	7.93800i	0.273174	+	0.342550i
$538$	−16.5701	−	5.79812i	−0.714387	−	0.249975i
$539$	−6.33872	−	6.33872i	−0.273028	−	0.273028i
$540$	0.324361	−	0.0636313i	0.0139583	−	0.00273825i
$541$	12.7831	+	8.03218i	0.549590	+	0.345330i	0.778029	−	0.628228i	$-0.216219\pi$
$541$	12.7831	+	8.03218i	0.549590	+	0.345330i	−0.228439	+	0.973558i	$0.573362\pi$
$542$	−13.7846	+	4.82343i	−0.592098	+	0.207184i
$543$	19.8244	+	9.54691i	0.850745	+	0.409697i
$544$	−0.198945	+	0.871635i	−0.00852969	+	0.0373710i
$545$	−6.40774	−	14.4217i	−0.274477	−	0.617758i
$546$	−11.2287	+	14.0803i	−0.480543	+	0.602581i
$547$	3.97481	+	2.49754i	0.169951	+	0.106787i	0.614321	−	0.789056i	$-0.289430\pi$
$547$	3.97481	+	2.49754i	0.169951	+	0.106787i	−0.444371	+	0.895843i	$0.646573\pi$
$548$	−2.84546	−	0.649459i	−0.121552	−	0.0277435i
$549$	0.492844	+	4.37411i	0.0210341	+	0.186683i
$550$	−1.80165	−	6.37986i	−0.0768225	−	0.272038i
$551$	−16.0093	+	30.2117i	−0.682018	+	1.28706i
$552$	2.87214	−	2.87214i	0.122246	−	0.122246i
$553$	−15.0540	+	18.8772i	−0.640163	+	0.802739i
$554$	24.8041	−	15.5854i	1.05382	−	0.662161i
$555$	−0.401257	+	13.0725i	−0.0170324	+	0.554897i
$556$	0.312887	+	0.249519i	0.0132694	+	0.0105820i
$557$	3.49101	−	30.9836i	0.147919	−	1.31282i	−0.672091	−	0.740468i	$-0.734604\pi$
$557$	3.49101	−	30.9836i	0.147919	−	1.31282i	0.820010	−	0.572349i	$-0.193968\pi$
$558$	−3.99285	+	2.50888i	−0.169031	+	0.106209i
$559$	−34.3151	+	12.0074i	−1.45137	+	0.507857i
$560$	39.1659	−	3.19969i	1.65506	−	0.135211i
$561$	−0.515649	+	0.820651i	−0.0217707	+	0.0346479i
$562$	6.56026	+	13.6225i	0.276728	+	0.574632i
$563$			33.7041i			1.42046i	0.703970	+	0.710229i	$0.251409\pi$
$563$			33.7041i			1.42046i	−0.703970	+	0.710229i	$0.748591\pi$
$564$	−0.219167	+	0.105545i	−0.00922858	+	0.00444425i
$565$	−33.3327	+	14.8101i	−1.40232	+	0.623066i
$566$	−1.89375	+	16.8075i	−0.0796001	+	0.706471i
$567$	−1.35811	+	3.88126i	−0.0570353	+	0.162998i
$568$	5.56552			0.233524
$569$	−3.94485	+	11.2737i	−0.165377	+	0.472619i	−0.996512	−	0.0834512i	$-0.973406\pi$
$569$	−3.94485	+	11.2737i	−0.165377	+	0.472619i	0.831135	+	0.556070i	$0.187691\pi$
$570$	14.2542	+	15.1569i	0.597042	+	0.634855i
$571$	12.2856	+	5.91643i	0.514136	+	0.247595i	0.672916	−	0.739719i	$-0.265042\pi$
$571$	12.2856	+	5.91643i	0.514136	+	0.247595i	−0.158780	+	0.987314i	$0.550756\pi$
$572$	0.173406	−	0.360082i	0.00725049	−	0.0150558i
$573$	−4.06325	−	6.46662i	−0.169745	−	0.270147i
$574$	−34.3674	+	27.4071i	−1.43447	+	1.14395i
$575$	6.89715	+	2.89957i	0.287631	+	0.120921i
$576$	1.62986	+	7.14089i	0.0679109	+	0.297537i
$577$	4.39233	−	19.2441i	0.182855	−	0.801141i	−0.797407	−	0.603441i	$-0.793796\pi$
$577$	4.39233	−	19.2441i	0.182855	−	0.801141i	0.980263	−	0.197700i	$-0.0633471\pi$
$578$	−18.1637	−	14.4851i	−0.755511	−	0.602500i
$579$	14.1295			0.587202
$580$	1.43814	+	1.04894i	0.0597154	+	0.0435547i
$581$	−29.2861			−1.21499
$582$	−18.6641	−	14.8842i	−0.773653	−	0.616968i
$583$	−2.39815	+	10.5070i	−0.0993213	+	0.435155i
$584$	−3.99964	−	17.5236i	−0.165506	−	0.725131i
$585$	0.951564	−	6.61427i	0.0393423	−	0.273466i
$586$	−20.8022	+	16.5892i	−0.859331	+	0.685293i
$587$	−15.1998	−	24.1904i	−0.627364	−	0.998444i	−0.997582	−	0.0694995i	$-0.977860\pi$
$587$	−15.1998	−	24.1904i	−0.627364	−	0.998444i	0.370218	−	0.928945i	$-0.379283\pi$
$588$	0.635521	−	1.31967i	0.0262085	−	0.0544224i
$589$	−18.4064	−	8.86405i	−0.758422	−	0.365237i
$590$	−0.704858	+	22.9635i	−0.0290185	+	0.945391i
$591$	1.74662	−	4.99154i	0.0718461	−	0.205324i
$592$	24.9972			1.02738
$593$	6.16766	−	17.6262i	0.253276	−	0.723820i	−0.745106	−	0.666946i	$-0.767601\pi$
$593$	6.16766	−	17.6262i	0.253276	−	0.723820i	0.998381	−	0.0568738i	$-0.0181133\pi$
$594$	0.148451	−	1.31754i	0.00609101	−	0.0540592i
$595$	3.53709	−	9.19341i	0.145007	−	0.376893i
$596$	−1.49612	+	0.720493i	−0.0612834	+	0.0295125i
$597$			3.21920i			0.131753i
$598$	2.84353	+	5.90464i	0.116280	+	0.241459i
$599$	−1.35781	+	2.16094i	−0.0554787	+	0.0882938i	−0.873312	−	0.487162i	$-0.838032\pi$
$599$	−1.35781	+	2.16094i	−0.0554787	+	0.0882938i	0.817833	+	0.575455i	$0.195175\pi$
$600$	−11.1102	+	7.79542i	−0.453573	+	0.318247i
$601$	11.0450	−	3.86483i	0.450537	−	0.157650i	−0.0954666	−	0.995433i	$-0.530434\pi$
$601$	11.0450	−	3.86483i	0.450537	−	0.157650i	0.546003	+	0.837783i	$0.316149\pi$
$602$	62.0750	−	39.0043i	2.52999	−	1.58970i
$603$	−1.68041	+	14.9140i	−0.0684315	+	0.607347i
$604$	1.21751	+	0.970931i	0.0495397	+	0.0395066i
$605$	22.7559	+	0.698485i	0.925157	+	0.0283975i
$606$	−14.2939	+	8.98145i	−0.580650	+	0.364846i
$607$	27.6913	−	34.7238i	1.12396	−	1.40940i	0.223363	−	0.974735i	$-0.428296\pi$
$607$	27.6913	−	34.7238i	1.12396	−	1.40940i	0.900594	−	0.434662i	$-0.143132\pi$
$608$	3.74671	−	3.74671i	0.151949	−	0.151949i
$609$	−20.3058	+	8.83315i	−0.822833	+	0.357937i
$610$	7.29618	+	12.4436i	0.295414	+	0.503828i
$611$	0.550614	+	4.88683i	0.0222754	+	0.197700i
$612$	−0.154394	−	0.0352393i	−0.00624099	−	0.00142446i
$613$	−25.0878	−	15.7637i	−1.01329	−	0.636690i	−0.0803632	−	0.996766i	$-0.525608\pi$
$613$	−25.0878	−	15.7637i	−1.01329	−	0.636690i	−0.932923	+	0.360076i	$0.882751\pi$
$614$	−19.0146	+	23.8435i	−0.767366	+	0.962247i
$615$	5.85678	−	15.2226i	0.236168	−	0.613835i
$616$	2.24704	−	9.84491i	0.0905356	−	0.396663i
$617$	38.1784	+	18.3858i	1.53701	+	0.740183i	0.994970	−	0.100172i	$-0.0319394\pi$
$617$	38.1784	+	18.3858i	1.53701	+	0.740183i	0.542036	+	0.840355i	$0.317654\pi$
$618$	9.78421	−	3.42364i	0.393579	−	0.137719i
$619$	−11.5457	−	7.25466i	−0.464062	−	0.291589i	0.279635	−	0.960106i	$-0.409787\pi$
$619$	−11.5457	−	7.25466i	−0.464062	−	0.291589i	−0.743697	+	0.668517i	$0.766929\pi$
$620$	−0.593222	+	0.882775i	−0.0238244	+	0.0354531i
$621$	1.05809	+	1.05809i	0.0424598	+	0.0424598i
$622$	15.5206	+	5.43089i	0.622319	+	0.217759i
$623$	15.7432	+	19.7414i	0.630738	+	0.790921i
$624$	−12.6917	−	1.43001i	−0.508074	−	0.0572462i
$625$	−21.0267	−	13.5232i	−0.841069	−	0.540927i
$626$	17.8623	−	17.8623i	0.713919	−	0.713919i
$627$	5.17523	−	2.49226i	0.206679	−	0.0995313i
$628$	0.294614	+	1.29079i	0.0117564	+	0.0515080i
$629$	2.71872	−	5.64549i	0.108403	−	0.225100i
$630$	1.09722	+	13.4306i	0.0437142	+	0.535086i
$631$	27.3524	+	6.24301i	1.08888	+	0.248530i	0.729032	−	0.684480i	$-0.239971\pi$
$631$	27.3524	+	6.24301i	1.08888	+	0.248530i	0.359850	+	0.933010i	$0.382828\pi$
$632$	−15.8384	−	1.78456i	−0.630018	−	0.0709860i
$633$	21.0314	−	2.36967i	0.835924	−	0.0941860i
$634$	4.33574	−	0.989605i	0.172194	−	0.0393022i
$635$	27.5142	+	14.3061i	1.09187	+	0.567722i
$636$	−1.74987	+	0.197163i	−0.0693870	+	0.00781804i
$637$	−20.9384	−	20.9384i	−0.829610	−	0.829610i
$638$	5.74946	−	4.23368i	0.227623	−	0.167613i
$639$			2.05033i			0.0811098i
$640$	16.6191	+	22.2045i	0.656929	+	0.877710i
$641$	−4.19047	−	6.66910i	−0.165514	−	0.263413i	0.753661	−	0.657263i	$-0.228286\pi$
$641$	−4.19047	−	6.66910i	−0.165514	−	0.263413i	−0.919175	+	0.393850i	$0.871143\pi$
$642$	−6.66923	+	10.6140i	−0.263213	+	0.418902i
$643$	0.295902	+	2.62620i	0.0116692	+	0.103567i	0.998197	−	0.0600287i	$-0.0191192\pi$
$643$	0.295902	+	2.62620i	0.0116692	+	0.103567i	−0.986527	+	0.163596i	$0.947691\pi$
$644$	−0.567108	−	0.711131i	−0.0223472	−	0.0280225i
$645$	−12.5490	+	24.1348i	−0.494117	+	0.950307i
$646$	−3.29238	−	9.40909i	−0.129537	−	0.370196i
$647$	15.0086	+	42.8920i	0.590048	+	1.68626i	0.719344	+	0.694654i	$0.244442\pi$
$647$	15.0086	+	42.8920i	0.590048	+	1.68626i	−0.129297	+	0.991606i	$0.541272\pi$
$648$	−2.64639	+	0.604022i	−0.103960	+	0.0237282i
$649$	5.98659	+	2.09480i	0.234994	+	0.0822280i
$650$	−5.95130	−	21.0743i	−0.233429	−	0.826603i
$651$	−5.74076	−	11.9208i	−0.224998	−	0.467214i
$652$	2.04572	−	1.63141i	0.0801166	−	0.0638909i
$653$	4.16450	−	3.32108i	0.162970	−	0.129964i	−0.538609	−	0.842556i	$-0.681050\pi$
$653$	4.16450	−	3.32108i	0.162970	−	0.129964i	0.701579	+	0.712592i	$0.252479\pi$
$654$	−4.48772	−	9.31885i	−0.175484	−	0.364396i
$655$	−9.29232	−	15.8481i	−0.363081	−	0.619235i
$656$	−29.4247	−	10.2961i	−1.14884	−	0.401997i
$657$	6.45567	−	1.47346i	0.251860	−	0.0574853i
$658$	−3.27534	−	9.36037i	−0.127686	−	0.364905i
$659$	10.3536	+	29.5890i	0.403321	+	1.15262i	0.949176	+	0.314745i	$0.101919\pi$
$659$	10.3536	+	29.5890i	0.403321	+	1.15262i	−0.545855	+	0.837879i	$0.683795\pi$
$660$	−0.0900608	−	0.285158i	−0.00350561	−	0.0110997i
$661$	−2.10412	−	2.63849i	−0.0818408	−	0.102625i	0.739225	−	0.673458i	$-0.235192\pi$
$661$	−2.10412	−	2.63849i	−0.0818408	−	0.102625i	−0.821066	+	0.570833i	$0.806620\pi$
$662$	−0.422091	−	3.74616i	−0.0164050	−	0.145599i
$663$	−1.70332	+	2.71082i	−0.0661515	+	0.105279i
$664$	−10.2855	−	16.3693i	−0.399156	−	0.635253i
$665$	−46.7377	+	34.9812i	−1.81241	+	1.35651i
$666$			8.57191i			0.332155i
$667$	−0.310031	+	8.05224i	−0.0120044	+	0.311784i
$668$	1.53634	+	1.53634i	0.0594428	+	0.0594428i
$669$	−14.4381	+	1.62678i	−0.558208	+	0.0628949i
$670$	14.8123	+	46.9000i	0.572250	+	1.81190i
$671$	3.88244	−	0.886142i	0.149880	−	0.0342091i
$672$	3.41007	−	0.384223i	0.131546	−	0.0148217i
$673$	42.8851	+	4.83199i	1.65310	+	0.186260i	0.888702	−	0.458485i	$-0.151608\pi$
$673$	42.8851	+	4.83199i	1.65310	+	0.186260i	0.764398	+	0.644745i	$0.223036\pi$
$674$	23.0748	+	5.26666i	0.888807	+	0.202864i
$675$	−2.87182	−	4.09300i	−0.110537	−	0.157540i
$676$	−0.260991	+	0.541953i	−0.0100381	+	0.0208443i
$677$	−7.29703	−	31.9704i	−0.280448	−	1.22872i	−0.897221	−	0.441581i	$-0.854418\pi$
$677$	−7.29703	−	31.9704i	−0.280448	−	1.22872i	0.616773	−	0.787141i	$-0.288439\pi$
$678$	−21.5385	+	10.3724i	−0.827182	+	0.398350i
$679$	47.3625	−	47.3625i	1.81761	−	1.81761i
$680$	6.38087	−	1.25176i	0.244695	−	0.0480029i
$681$	12.3488	+	1.39138i	0.473207	+	0.0533177i
$682$	2.65995	+	3.33548i	0.101855	+	0.127722i
$683$	6.32733	+	2.21403i	0.242109	+	0.0847175i	0.448606	−	0.893730i	$-0.351921\pi$
$683$	6.32733	+	2.21403i	0.242109	+	0.0847175i	−0.206497	+	0.978447i	$0.566206\pi$
$684$	0.663659	+	0.663659i	0.0253756	+	0.0253756i
$685$	8.49894	+	43.3234i	0.324728	+	1.65530i
$686$	14.8417	+	9.32565i	0.566658	+	0.356055i
$687$	−0.965589	+	0.337874i	−0.0368395	+	0.0128907i
$688$	46.8430	+	22.5584i	1.78587	+	0.860031i
$689$	−7.92171	+	34.7073i	−0.301793	+	1.32224i
$690$	4.57665	+	1.76083i	0.174230	+	0.0670336i
$691$	−12.0686	+	15.1336i	−0.459113	+	0.575709i	−0.956468	−	0.291838i	$-0.905733\pi$
$691$	−12.0686	+	15.1336i	−0.459113	+	0.575709i	0.497355	+	0.867547i	$0.334305\pi$
$692$	−2.17611	−	1.36734i	−0.0827232	−	0.0519785i
$693$	3.62685	+	0.827805i	0.137773	+	0.0314457i
$694$	−3.91456	−	34.7427i	−0.148595	−	1.31881i
$695$	1.52750	−	5.85775i	0.0579413	−	0.222197i
$696$	−12.0688	−	8.24756i	−0.457468	−	0.312623i
$697$	−5.52558	+	5.52558i	−0.209296	+	0.209296i
$698$	−18.2920	+	22.9374i	−0.692361	+	0.868194i
$699$	−5.29290	+	3.32575i	−0.200196	+	0.125791i
$700$	1.45611	+	2.66774i	0.0550357	+	0.100831i
$701$	−4.64042	−	3.70061i	−0.175266	−	0.139770i	0.531928	−	0.846790i	$-0.321468\pi$
$701$	−4.64042	−	3.70061i	−0.175266	−	0.139770i	−0.707194	+	0.707020i	$0.750039\pi$
$702$	0.490371	−	4.35216i	0.0185079	−	0.164262i
$703$	−31.4440	+	19.7575i	−1.18593	+	0.745170i
$704$	6.25462	−	2.18859i	0.235730	−	0.0824855i
$705$	2.80512	+	2.38141i	0.105647	+	0.0896890i
$706$	−12.8314	+	20.4210i	−0.482915	+	0.768555i
$707$	−20.5512	−	42.6750i	−0.772907	−	1.60496i
$708$			1.03634i			0.0389479i
$709$	16.9817	−	8.17794i	0.637760	−	0.307129i	−0.0869195	−	0.996215i	$-0.527702\pi$
$709$	16.9817	−	8.17794i	0.637760	−	0.307129i	0.724679	+	0.689087i	$0.241988\pi$
$710$	2.72819	+	6.14025i	0.102387	+	0.230439i
$711$	0.657430	−	5.83485i	0.0246556	−	0.218824i
$712$	−5.50519	+	15.7329i	−0.206316	+	0.589616i
$713$	−4.81483			−0.180317
$714$	2.13230	−	6.09376i	0.0797992	−	0.228053i
$715$	−6.04267	−	0.185478i	−0.225983	−	0.00693650i
$716$	1.35223	+	0.651200i	0.0505353	+	0.0243365i
$717$	7.28456	−	15.1265i	0.272047	−	0.564911i
$718$	−9.53070	−	15.1680i	−0.355683	−	0.566065i
$719$	−36.3042	+	28.9516i	−1.35392	+	1.07971i	−0.365037	+	0.930993i	$0.618944\pi$
$719$	−36.3042	+	28.9516i	−1.35392	+	1.07971i	−0.988879	+	0.148720i	$0.952485\pi$
$720$	−7.65086	+	5.72634i	−0.285131	+	0.213408i
$721$	6.47192	+	28.3553i	0.241027	+	1.05601i
$722$	−6.95013	+	30.4505i	−0.258657	+	1.13325i
$723$	1.12196	+	0.894730i	0.0417260	+	0.0332754i
$724$	3.25262			0.120882
$725$	5.66702	−	26.3227i	0.210468	−	0.977601i
$726$	14.9215			0.553788
$727$	−21.6386	−	17.2562i	−0.802530	−	0.639996i	0.133843	−	0.991003i	$-0.457268\pi$
$727$	−21.6386	−	17.2562i	−0.802530	−	0.639996i	−0.936373	+	0.351006i	$0.885840\pi$
$728$	7.42253	−	32.5202i	0.275097	−	1.20528i
$729$	−0.222521	−	0.974928i	−0.00824152	−	0.0361084i
$730$	17.3726	−	13.0026i	0.642988	−	0.481249i
$731$	10.1894	−	8.12576i	0.376868	−	0.300542i
$732$	0.346187	+	0.550953i	0.0127954	+	0.0203638i
$733$	−11.2310	+	23.3213i	−0.414825	+	0.861394i	0.583944	+	0.811794i	$0.301509\pi$
$733$	−11.2310	+	23.3213i	−0.414825	+	0.861394i	−0.998769	+	0.0495996i	$0.984205\pi$
$734$	−26.2826	−	12.6570i	−0.970107	−	0.467179i
$735$	−22.1459	−	0.679764i	−0.816865	−	0.0250735i
$736$	0.412448	−	1.17871i	0.0152030	−	0.0434478i
$737$	13.5781			0.500154
$738$	3.53070	−	10.0901i	0.129967	−	0.371423i
$739$	5.67425	−	50.3604i	0.208731	−	1.85254i	−0.255483	−	0.966814i	$-0.582234\pi$
$739$	5.67425	−	50.3604i	0.208731	−	1.85254i	0.464213	−	0.885723i	$-0.346337\pi$
$740$	0.785006	+	1.76679i	0.0288574	+	0.0649485i
$741$	17.0951	−	8.23257i	0.628005	−	0.302431i
$742$		−	71.7887i		−	2.63545i
$743$	18.9265	+	39.3012i	0.694345	+	1.44182i	0.887572	+	0.460668i	$0.152390\pi$
$743$	18.9265	+	39.3012i	0.694345	+	1.44182i	−0.193227	+	0.981154i	$0.561896\pi$
$744$	4.64688	−	7.39547i	0.170363	−	0.271131i
$745$	19.1489	+	16.2564i	0.701561	+	0.595589i
$746$	2.78948	−	0.976083i	0.102130	−	0.0357369i
$747$	6.03044	−	3.78918i	0.220642	−	0.138639i
$748$	−0.0160413	+	0.142371i	−0.000586529	+	0.00520559i
$749$	−27.4983	−	21.9292i	−1.00477	−	0.801274i
$750$	−14.0466	−	8.43627i	−0.512910	−	0.308049i
$751$	−36.0272	+	22.6374i	−1.31465	+	0.826050i	−0.992689	−	0.120703i	$-0.961485\pi$
$751$	−36.0272	+	22.6374i	−1.31465	+	0.826050i	−0.321962	+	0.946753i	$0.604342\pi$
$752$	4.38495	−	5.49855i	0.159903	−	0.200512i
$753$	−1.26922	+	1.26922i	−0.0462530	+	0.0462530i
$754$	18.9919	−	13.9849i	0.691646	−	0.509301i
$755$	5.94381	−	22.7937i	0.216317	−	0.829548i
$756$	0.0680578	+	0.604030i	0.00247524	+	0.0219683i
$757$	29.7583	+	6.79215i	1.08159	+	0.246865i	0.725941	−	0.687757i	$-0.241404\pi$
$757$	29.7583	+	6.79215i	1.08159	+	0.246865i	0.355644	+	0.934622i	$0.384262\pi$
$758$	−8.86393	−	5.56958i	−0.321953	−	0.202296i
$759$	0.844057	−	1.05841i	0.0306373	−	0.0384180i
$760$	−35.9673	−	13.8381i	−1.30467	−	0.501962i
$761$	−4.66725	+	20.4486i	−0.169188	+	0.741260i	0.817137	+	0.576444i	$0.195560\pi$
$761$	−4.66725	+	20.4486i	−0.169188	+	0.741260i	−0.986324	+	0.164816i	$0.947297\pi$
$762$	18.3123	+	8.81873i	0.663384	+	0.319469i
$763$	27.3921	−	9.58492i	0.991662	−	0.346998i
$764$	−0.955918	−	0.600643i	−0.0345839	−	0.0217305i
$765$	0.461148	+	2.35071i	0.0166728	+	0.0849899i
$766$	5.39374	+	5.39374i	0.194884	+	0.194884i
$767$	19.7752	+	6.91965i	0.714042	+	0.249854i
$768$	2.20021	+	2.75897i	0.0793932	+	0.0995559i
$769$	−1.99925	−	0.225262i	−0.0720949	−	0.00812315i	0.0758433	−	0.997120i	$-0.475835\pi$
$769$	−1.99925	−	0.225262i	−0.0720949	−	0.00812315i	−0.147938	+	0.988997i	$0.547264\pi$
$770$	11.9630	−	2.34684i	0.431118	−	0.0845743i
$771$	−10.0362	+	10.0362i	−0.361444	+	0.361444i
$772$	1.88183	−	0.906241i	0.0677285	−	0.0326163i
$773$	−8.92259	−	39.0924i	−0.320923	−	1.40606i	−0.835914	−	0.548861i	$-0.815062\pi$
$773$	−8.92259	−	39.0924i	−0.320923	−	1.40606i	0.514990	−	0.857196i	$-0.327795\pi$
$774$	−7.73560	+	16.0631i	−0.278050	+	0.577377i
$775$	15.8466	+	2.77846i	0.569228	+	0.0998052i
$776$	43.1072	+	9.83893i	1.54746	+	0.353197i
$777$	−23.8997	−	2.69285i	−0.857399	−	0.0966056i
$778$	−39.6560	+	4.46815i	−1.42174	+	0.160191i
$779$	45.1512	−	10.3055i	1.61771	−	0.369232i
$780$	−0.297494	−	0.941949i	−0.0106520	−	0.0337272i
$781$	1.84326	−	0.207686i	0.0659572	−	0.00743159i
$782$	−1.66126	−	1.66126i	−0.0594064	−	0.0594064i
$783$	3.03839	−	4.44614i	0.108583	−	0.158892i
$784$			42.3474i			1.51241i
$785$	16.0337	−	12.0006i	0.572269	−	0.428319i
$786$	−6.40611	−	10.1953i	−0.228498	−	0.363653i
$787$	5.99346	−	9.53853i	0.213644	−	0.340012i	−0.722660	−	0.691204i	$-0.757081\pi$
$787$	5.99346	−	9.53853i	0.213644	−	0.340012i	0.936303	+	0.351192i	$0.114224\pi$
$788$	−0.0875265	−	0.776820i	−0.00311800	−	0.0276731i
$789$	−7.87949	−	9.88057i	−0.280517	−	0.351758i
$790$	−5.79506	−	18.3488i	−0.206179	−	0.652820i
$791$	−22.1535	−	63.3110i	−0.787687	−	2.25108i
$792$	0.811084	+	2.31795i	0.0288206	+	0.0823646i
$793$	12.8247	−	2.92715i	0.455418	−	0.103946i
$794$	48.5242	+	16.9794i	1.72206	+	0.602575i
$795$	13.4732	+	22.9785i	0.477844	+	0.814963i
$796$	0.206474	+	0.428747i	0.00731826	+	0.0151965i
$797$	−32.9011	+	26.2378i	−1.16542	+	0.929389i	−0.998399	−	0.0565648i	$-0.981985\pi$
$797$	−32.9011	+	26.2378i	−1.16542	+	0.929389i	−0.167018	+	0.985954i	$0.553414\pi$
$798$	−29.9146	+	23.8561i	−1.05897	+	0.844497i
$799$	−0.764906	−	1.58834i	−0.0270604	−	0.0561916i
$800$	−2.03764	+	3.64137i	−0.0720415	+	0.128742i
$801$	−5.79599	−	2.02811i	−0.204791	−	0.0716596i
$802$	−49.1057	+	11.2081i	−1.73398	+	0.395770i
$803$	−1.97858	−	5.65445i	−0.0698224	−	0.199541i
$804$	0.732755	+	2.09409i	0.0258423	+	0.0738530i
$805$	−6.34720	+	12.2072i	−0.223709	+	0.430247i
$806$	8.78651	+	11.0179i	0.309491	+	0.388090i
$807$	1.34118	+	11.9033i	0.0472118	+	0.419016i
$808$	16.6352	−	26.4748i	0.585225	−	0.931381i
$809$	−0.685198	−	1.09049i	−0.0240903	−	0.0383394i	0.834462	−	0.551065i	$-0.185779\pi$
$809$	−0.685198	−	1.09049i	−0.0240903	−	0.0383394i	−0.858552	+	0.512726i	$0.828636\pi$
$810$	−1.96364	−	2.62359i	−0.0689954	−	0.0921835i
$811$		−	12.3912i		−	0.435114i	−0.976048	−	0.217557i	$-0.930191\pi$
$811$		−	12.3912i		−	0.435114i	0.976048	−	0.217557i	$-0.0698088\pi$
$812$	−2.13787	+	2.47882i	−0.0750246	+	0.0869894i
$813$	7.04629	+	7.04629i	0.247124	+	0.247124i
$814$	7.70622	−	0.868283i	0.270103	−	0.0304333i
$815$	−35.1166	−	18.2591i	−1.23008	−	0.639587i
$816$	4.46375	−	1.01882i	0.156262	−	0.0356659i
$817$	−76.7536	+	8.64805i	−2.68527	+	0.302557i
$818$	−39.9001	−	4.49566i	−1.39507	−	0.157187i
$819$	11.9804	+	2.73445i	0.418630	+	0.0955495i
$820$	−0.196319	−	2.40306i	−0.00685576	−	0.0839183i
$821$	18.7804	−	38.9979i	0.655440	−	1.36104i	−0.262738	−	0.964867i	$-0.584626\pi$
$821$	18.7804	−	38.9979i	0.655440	−	1.36104i	0.918178	−	0.396168i	$-0.129660\pi$
$822$	6.43884	+	28.2104i	0.224580	+	0.983950i
$823$	27.7562	−	13.3667i	0.967519	−	0.465933i	0.117724	−	0.993046i	$-0.462440\pi$
$823$	27.7562	−	13.3667i	0.967519	−	0.465933i	0.849795	+	0.527114i	$0.176726\pi$
$824$	−13.5761	+	13.5761i	−0.472946	+	0.472946i
$825$	−3.38874	+	2.99639i	−0.117981	+	0.104321i
$826$	−41.9828	−	4.73033i	−1.46077	−	0.164589i
$827$	30.7549	+	38.5654i	1.06945	+	1.34105i	0.936791	+	0.349890i	$0.113781\pi$
$827$	30.7549	+	38.5654i	1.06945	+	1.34105i	0.132662	+	0.991161i	$0.457648\pi$
$828$	0.208786	+	0.0730573i	0.00725581	+	0.00253892i
$829$	−16.0370	−	16.0370i	−0.556987	−	0.556987i	0.371462	−	0.928448i	$-0.378857\pi$
$829$	−16.0370	−	16.0370i	−0.556987	−	0.556987i	−0.928448	+	0.371462i	$0.878857\pi$
$830$	13.0178	−	19.3718i	0.451855	−	0.672407i
$831$	−16.9248	−	10.6346i	−0.587115	−	0.368908i
$832$	20.6606	−	7.22946i	0.716278	−	0.250637i
$833$	9.56393	+	4.60575i	0.331371	+	0.159580i
$834$	0.882879	−	3.86815i	0.0305716	−	0.133943i
$835$	11.8015	−	30.6738i	0.408409	−	1.06151i
$836$	0.529411	−	0.663860i	0.0183101	−	0.0229601i
$837$	2.72448	+	1.71191i	0.0941719	+	0.0591721i
$838$	5.46672	+	1.24774i	0.188845	+	0.0431026i
$839$	5.46632	+	48.5149i	0.188718	+	1.67492i	0.629265	+	0.777191i	$0.283356\pi$
$839$	5.46632	+	48.5149i	0.188718	+	1.67492i	−0.440547	+	0.897730i	$0.645215\pi$
$840$	−12.6242	−	21.5305i	−0.435575	−	0.742874i
$841$	28.6854	−	4.26007i	0.989151	−	0.146899i
$842$	23.2509	−	23.2509i	0.801279	−	0.801279i
$843$	6.43247	−	8.06607i	0.221546	−	0.277810i
$844$	2.64907	−	1.66452i	0.0911848	−	0.0572952i
$845$	9.09471	+	0.279160i	0.312867	+	0.00960339i
$846$	1.88553	+	1.50366i	0.0648259	+	0.0516969i
$847$	−4.68756	+	41.6033i	−0.161067	+	1.42951i
$848$	43.1080	−	27.0866i	1.48034	−	0.930157i
$849$	10.8933	−	3.81174i	0.373858	−	0.130819i
$850$	4.50890	+	6.42620i	0.154654	+	0.220417i
$851$	−4.65646	+	7.41071i	−0.159621	+	0.254036i
$852$	0.131504	+	0.273072i	0.00450527	+	0.00935529i
$853$			6.66604i			0.228241i	0.993467	+	0.114120i	$0.0364050\pi$
$853$			6.66604i			0.228241i	−0.993467	+	0.114120i	$0.963595\pi$
$854$	−23.8997	+	11.5095i	−0.817831	+	0.393847i
$855$	5.09795	−	13.2503i	0.174346	−	0.453151i
$856$	2.59956	−	23.0718i	0.0888512	−	0.788577i
$857$	7.19519	−	20.5627i	0.245783	−	0.702407i	−0.753220	−	0.657768i	$-0.771501\pi$
$857$	7.19519	−	20.5627i	0.245783	−	0.702407i	0.999003	−	0.0446389i	$-0.0142137\pi$
$858$	−3.96230			−0.135271
$859$	−10.0632	+	28.7590i	−0.343352	+	0.981244i	0.634677	+	0.772777i	$0.281133\pi$
$859$	−10.0632	+	28.7590i	−0.343352	+	0.981244i	−0.978029	+	0.208467i	$0.933153\pi$
$860$	−0.123370	+	4.01925i	−0.00420688	+	0.137055i
$861$	27.0236	+	13.0139i	0.920963	+	0.443512i
$862$	−19.1580	+	39.7819i	−0.652523	+	1.35498i
$863$	7.60678	+	12.1061i	0.258938	+	0.412097i	0.950740	−	0.309990i	$-0.100326\pi$
$863$	7.60678	+	12.1061i	0.258938	+	0.412097i	−0.691802	+	0.722087i	$0.743183\pi$
$864$	−0.652472	+	0.520329i	−0.0221976	+	0.0177020i
$865$	−5.53589	+	38.4797i	−0.188226	+	1.30835i
$866$	−1.22128	−	5.35077i	−0.0415008	−	0.181827i
$867$	−3.52747	+	15.4549i	−0.119799	+	0.524874i
$868$	−1.52916	−	1.21946i	−0.0519031	−	0.0413913i
$869$	−5.31218			−0.180203
$870$	3.18318	−	17.3580i	0.107920	−	0.588493i
$871$	44.8518			1.51975
$872$	14.9778	+	11.9444i	0.507213	+	0.404489i
$873$	−3.62465	+	15.8806i	−0.122676	+	0.537478i
$874$	3.09832	+	13.5746i	0.104802	+	0.459168i
$875$	27.9343	−	36.5138i	0.944351	−	1.23439i
$876$	0.765288	−	0.610297i	0.0258567	−	0.0206200i
$877$	25.7510	+	40.9825i	0.869549	+	1.38388i	0.922792	+	0.385298i	$0.125902\pi$
$877$	25.7510	+	40.9825i	0.869549	+	1.38388i	−0.0532425	+	0.998582i	$0.516956\pi$
$878$	12.7514	−	26.4786i	0.430339	−	0.893609i
$879$	16.3571	+	7.87717i	0.551711	+	0.265690i
$880$	5.92302	+	6.29814i	0.199665	+	0.212310i
$881$	4.34111	−	12.4062i	0.146256	−	0.417975i	−0.847328	−	0.531069i	$-0.821790\pi$
$881$	4.34111	−	12.4062i	0.146256	−	0.417975i	0.993584	+	0.113094i	$0.0360761\pi$
$882$	−14.5215			−0.488966
$883$	−10.5447	+	30.1350i	−0.354857	+	1.01412i	0.618690	+	0.785636i	$0.287664\pi$
$883$	−10.5447	+	30.1350i	−0.354857	+	1.01412i	−0.973547	+	0.228488i	$0.926622\pi$
$884$	−0.0529886	+	0.470287i	−0.00178220	+	0.0158174i
$885$	14.3259	−	6.36515i	0.481559	−	0.213962i
$886$	−16.5561	+	7.97299i	−0.556212	+	0.267858i
$887$			5.22829i			0.175549i	0.996140	+	0.0877743i	$0.0279754\pi$
$887$			5.22829i			0.175549i	−0.996140	+	0.0877743i	$0.972025\pi$
$888$	−6.88864	−	14.3044i	−0.231168	−	0.480025i
$889$	−30.3407	+	48.2869i	−1.01759	+	1.61949i
$890$	−20.0562	+	1.63851i	−0.672287	+	0.0549229i
$891$	−0.853929	+	0.298803i	−0.0286077	+	0.0100103i
$892$	−1.81858	+	1.14269i	−0.0608907	+	0.0382602i
$893$	−1.16982	+	10.3824i	−0.0391465	+	0.347435i
$894$	12.8714	+	10.2646i	0.430483	+	0.343299i
$895$	0.696534	−	22.6923i	0.0232826	−	0.758520i
$896$	−43.1858	+	27.1354i	−1.44274	+	0.906531i
$897$	2.78814	−	3.49621i	0.0930931	−	0.116735i
$898$	4.16956	−	4.16956i	0.139140	−	0.139140i
$899$	3.20297	+	17.0291i	0.106825	+	0.567953i
$900$	−0.645000	−	0.360929i	−0.0215000	−	0.0120310i
$901$	−1.42888	−	12.6817i	−0.0476029	−	0.422488i
$902$	−9.42877	−	2.15205i	−0.313944	−	0.0716556i
$903$	−42.3562	−	26.6142i	−1.40953	−	0.885665i
$904$	27.6069	−	34.6180i	0.918192	−	1.15138i
$905$	−19.9775	−	44.9627i	−0.664074	−	1.49461i
$906$	3.43547	−	15.0518i	0.114136	−	0.500061i
$907$	−39.9949	−	19.2606i	−1.32801	−	0.639536i	−0.370742	−	0.928736i	$-0.620896\pi$
$907$	−39.9949	−	19.2606i	−1.32801	−	0.639536i	−0.957269	+	0.289200i	$0.906611\pi$
$908$	1.73391	−	0.606721i	0.0575418	−	0.0201347i
$909$	9.75329	+	6.12840i	0.323496	+	0.203266i
$910$	39.5170	−	7.75222i	1.30998	−	0.256984i
$911$	−20.8396	−	20.8396i	−0.690446	−	0.690446i	0.271884	−	0.962330i	$-0.412353\pi$
$911$	−20.8396	−	20.8396i	−0.690446	−	0.690446i	−0.962330	+	0.271884i	$0.912353\pi$
$912$	−25.6123	−	8.96214i	−0.848108	−	0.296766i
$913$	−4.01735	−	5.03760i	−0.132955	−	0.166720i
$914$	48.2543	+	5.43695i	1.59611	+	0.179838i
$915$	5.48986	−	8.16947i	0.181489	−	0.270074i
$916$	−0.106931	+	0.106931i	−0.00353309	+	0.00353309i
$917$	30.4383	−	14.6583i	1.00516	−	0.484061i
$918$	0.349368	+	1.53068i	0.0115309	+	0.0505200i
$919$	−5.28414	+	10.9726i	−0.174308	+	0.361954i	−0.969759	−	0.244063i	$-0.921520\pi$
$919$	−5.28414	+	10.9726i	−0.174308	+	0.361954i	0.795451	+	0.606017i	$0.207234\pi$
$920$	−9.05235	+	0.739538i	−0.298447	+	0.0243818i
$921$	20.2876	+	4.63051i	0.668499	+	0.152581i
$922$	−28.3000	−	3.18864i	−0.932011	−	0.105012i
$923$	6.08877	−	0.686040i	0.200414	−	0.0225813i
$924$	0.536134	−	0.122369i	0.0176375	−	0.00402565i
$925$	19.6018	−	21.7031i	0.644504	−	0.713595i
$926$	−3.90868	+	0.440403i	−0.128447	+	0.0144725i
$927$	−5.00142	−	5.00142i	−0.164268	−	0.164268i
$928$	−4.44323	−	0.674634i	−0.145856	−	0.0221459i
$929$			23.8371i			0.782068i	0.920376	+	0.391034i	$0.127883\pi$
$929$			23.8371i			0.782068i	−0.920376	+	0.391034i	$0.872117\pi$
$930$	10.4371	+	1.50153i	0.342245	+	0.0492371i
$931$	−33.4709	−	53.2687i	−1.09697	−	1.74581i
$932$	−0.491624	+	0.782415i	−0.0161037	+	0.0256289i
$933$	−1.25624	−	11.1494i	−0.0411273	−	0.365015i
$934$	3.54377	+	4.44374i	0.115956	+	0.145404i
$935$	2.06659	−	0.652688i	0.0675848	−	0.0213452i
$936$	2.67922	+	7.65677i	0.0875730	+	0.250269i
$937$	15.2149	+	43.4817i	0.497049	+	1.42048i	0.870193	+	0.492711i	$0.163994\pi$
$937$	15.2149	+	43.4817i	0.497049	+	1.42048i	−0.373144	+	0.927774i	$0.621720\pi$
$938$	−88.1781	+	20.1261i	−2.87912	+	0.657139i
$939$	−16.2694	−	5.69289i	−0.530930	−	0.185781i
$940$	0.526338	+	0.137251i	0.0171672	+	0.00447662i
$941$	−14.8941	−	30.9279i	−0.485534	−	1.00822i	−0.989505	−	0.144501i	$-0.953842\pi$
$941$	−14.8941	−	30.9279i	−0.485534	−	1.00822i	0.503971	−	0.863721i	$-0.331872\pi$
$942$	10.2624	−	8.18403i	0.334369	−	0.266650i
$943$	8.53360	−	6.80532i	0.277892	−	0.221612i
$944$	−13.0000	−	26.9949i	−0.423115	−	0.878608i
$945$	7.93182	−	4.65073i	0.258022	−	0.151288i
$946$	15.2245	+	5.32727i	0.494990	+	0.173205i
$947$	−6.17626	+	1.40969i	−0.200702	+	0.0458088i	−0.321690	−	0.946845i	$-0.604251\pi$
$947$	−6.17626	+	1.40969i	−0.200702	+	0.0458088i	0.120988	+	0.992654i	$0.461394\pi$
$948$	−0.286678	−	0.819278i	−0.00931086	−	0.0266089i
$949$	−6.53574	−	18.6781i	−0.212159	−	0.606316i
$950$	−2.36382	−	46.4649i	−0.0766925	−	1.50752i
$951$	−1.89200	−	2.37249i	−0.0613523	−	0.0769334i
$952$	1.33884	+	11.8826i	0.0433921	+	0.385116i
$953$	−12.2925	+	19.5633i	−0.398192	+	0.633719i	−0.984298	−	0.176516i	$-0.943517\pi$
$953$	−12.2925	+	19.5633i	−0.398192	+	0.633719i	0.586106	+	0.810234i	$0.300660\pi$
$954$	9.28837	+	14.7824i	0.300722	+	0.478597i
$955$	−2.43180	+	16.9033i	−0.0786912	+	0.546979i
$956$		−	2.48184i		−	0.0802684i
$957$	−4.30489	−	2.28117i	−0.139157	−	0.0737398i
$958$	9.60567	+	9.60567i	0.310345	+	0.310345i
$959$	−80.6774	+	9.09016i	−2.60521	+	0.293537i
$960$	7.55559	−	14.5312i	0.243856	−	0.468993i
$961$	20.1289	−	4.59429i	0.649320	−	0.148203i
$962$	25.4556	−	2.86816i	0.820722	−	0.0924732i
$963$	8.49961	+	0.957676i	0.273896	+	0.0308607i
$964$	0.206813	+	0.0472038i	0.00666101	+	0.00152033i
$965$	−24.0856	−	20.4475i	−0.775343	−	0.658227i
$966$	−3.91261	+	8.12461i	−0.125886	+	0.261405i
$967$	0.895914	+	3.92525i	0.0288106	+	0.126228i	0.987288	−	0.158940i	$-0.0508077\pi$
$967$	0.895914	+	3.92525i	0.0288106	+	0.126228i	−0.958478	+	0.285168i	$0.907951\pi$
$968$	−24.9003	+	11.9913i	−0.800325	+	0.385416i
$969$	−4.80967	+	4.80967i	−0.154509	+	0.154509i
$970$	10.2759	+	52.3817i	0.329941	+	1.68188i
$971$	58.7134	+	6.61542i	1.88420	+	0.212299i	0.977716	−	0.209933i	$-0.0673245\pi$
$971$	58.7134	+	6.61542i	1.88420	+	0.212299i	0.906488	+	0.422231i	$0.138753\pi$
$972$	−0.0921664	−	0.115573i	−0.00295624	−	0.00370701i
$973$	10.5076	+	3.67677i	0.336858	+	0.117872i
$974$	−4.90265	−	4.90265i	−0.157091	−	0.157091i
$975$	−11.1939	+	9.89784i	−0.358491	+	0.316985i
$976$	−15.9289	−	10.0088i	−0.509871	−	0.320373i
$977$	−32.1595	+	11.2531i	−1.02887	+	0.360018i	−0.791350	−	0.611363i	$-0.790621\pi$
$977$	−32.1595	+	11.2531i	−1.02887	+	0.360018i	−0.237524	+	0.971382i	$0.576336\pi$
$978$	−23.3722	−	11.2554i	−0.747359	−	0.359909i
$979$	−1.23619	+	5.41608i	−0.0395087	+	0.173099i
$980$	−2.99309	+	1.32987i	−0.0956108	+	0.0424810i
$981$	−4.40031	+	5.51781i	−0.140491	+	0.176170i
$982$	31.4921	+	19.7878i	1.00495	+	0.631455i
$983$	−44.5230	−	10.1621i	−1.42006	−	0.324120i	−0.557546	−	0.830146i	$-0.688257\pi$
$983$	−44.5230	−	10.1621i	−1.42006	−	0.324120i	−0.862518	+	0.506026i	$0.831114\pi$
$984$	2.21688	+	19.6753i	0.0706715	+	0.627227i
$985$	−10.2008	+	5.98113i	−0.325025	+	0.190575i
$986$	−4.77041	+	6.98065i	−0.151921	+	0.222309i
$987$	−4.78476	+	4.78476i	−0.152301	+	0.152301i
$988$	1.74878	−	2.19290i	0.0556361	−	0.0697654i
$989$	−15.4135	+	9.68497i	−0.490122	+	0.307964i
$990$	−2.15972	+	2.03109i	−0.0686405	+	0.0645522i
$991$	−29.5629	−	23.5756i	−0.939096	−	0.748904i	0.0289754	−	0.999580i	$-0.490776\pi$
$991$	−29.5629	−	23.5756i	−0.939096	−	0.748904i	−0.968071	+	0.250676i	$0.919347\pi$
$992$	0.300657	−	2.66840i	0.00954587	−	0.0847219i
$993$	−2.17805	+	1.36856i	−0.0691184	+	0.0434300i
$994$	−11.6626	+	4.08092i	−0.369915	+	0.129439i
$995$	4.65865	−	5.48755i	0.147689	−	0.173967i
$996$	0.560129	−	0.891441i	0.0177484	−	0.0282464i
$997$	−10.5105	−	21.8253i	−0.332872	−	0.691216i	0.665610	−	0.746300i	$-0.268172\pi$
$997$	−10.5105	−	21.8253i	−0.332872	−	0.691216i	−0.998482	+	0.0550842i	$0.982457\pi$
$998$		−	13.2405i		−	0.419119i
$999$	5.26973	−	2.53777i	0.166727	−	0.0802914i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	435.2.bm.a.43.5	yes	180
5.2	odd	4		435.2.bd.b.217.11	✓	180
29.27	odd	28		435.2.bd.b.433.11	yes	180
145.27	even	28	inner	435.2.bm.a.172.5	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
435.2.bd.b.217.11	✓	180	5.2	odd	4
435.2.bd.b.433.11	yes	180	29.27	odd	28
435.2.bm.a.43.5	yes	180	1.1	even	1	trivial
435.2.bm.a.172.5	yes	180	145.27	even	28	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 435 = 3 \cdot 5 \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	435.bm (of order \(28\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.14581 - 0.913753i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.0328938 + 0.144117i) q^{4} +(1.79018 - 1.33987i) q^{5} +(1.14581 - 0.913753i) q^{6} +(2.18772 + 3.48174i) q^{7} +(-1.17776 + 2.44563i) q^{8} +(-0.900969 - 0.433884i) q^{9} +O(q^{10})\)	\(q+(-1.14581 - 0.913753i) q^{2} +(-0.222521 + 0.974928i) q^{3} +(0.0328938 + 0.144117i) q^{4} +(1.79018 - 1.33987i) q^{5} +(1.14581 - 0.913753i) q^{6} +(2.18772 + 3.48174i) q^{7} +(-1.17776 + 2.44563i) q^{8} +(-0.900969 - 0.433884i) q^{9} +(-3.27552 - 0.100541i) q^{10} +(-0.298803 + 0.853929i) q^{11} -0.147823 q^{12} +(-0.987021 + 2.82074i) q^{13} +(0.674736 - 5.98845i) q^{14} +(0.907927 + 2.04345i) q^{15} +(3.85056 - 1.85433i) q^{16} -1.07131i q^{17} +(0.635876 + 1.32041i) q^{18} +(-3.37796 + 5.37599i) q^{19} +(0.251985 + 0.213922i) q^{20} +(-3.88126 + 1.35811i) q^{21} +(1.12265 - 0.705408i) q^{22} +(-0.167540 + 1.48696i) q^{23} +(-2.12224 - 1.69243i) q^{24} +(1.40948 - 4.79722i) q^{25} +(3.70840 - 2.33014i) q^{26} +(0.623490 - 0.781831i) q^{27} +(-0.429816 + 0.429816i) q^{28} +(5.37054 - 0.396615i) q^{29} +(0.826891 - 3.17102i) q^{30} +(0.360265 + 3.19744i) q^{31} +(-0.813619 - 0.185703i) q^{32} +(-0.766029 - 0.481328i) q^{33} +(-0.978908 + 1.22751i) q^{34} +(8.58150 + 3.30167i) q^{35} +(0.0328938 - 0.144117i) q^{36} +(5.26973 + 2.53777i) q^{37} +(8.78283 - 3.07324i) q^{38} +(-2.53039 - 1.58995i) q^{39} +(1.16845 + 5.95616i) q^{40} +(-5.15780 - 5.15780i) q^{41} +(5.68816 + 1.99037i) q^{42} +(7.58491 + 9.51118i) q^{43} +(-0.132895 - 0.0149736i) q^{44} +(-2.19424 + 0.430454i) q^{45} +(1.55068 - 1.55068i) q^{46} +(1.48262 - 0.713994i) q^{47} +(0.951009 + 4.16664i) q^{48} +(-4.29919 + 8.92736i) q^{49} +(-5.99847 + 4.20879i) q^{50} +(1.04445 + 0.238388i) q^{51} +(-0.438985 - 0.0494617i) q^{52} +(11.8376 - 1.33378i) q^{53} +(-1.42880 + 0.326115i) q^{54} +(0.609246 + 1.92904i) q^{55} +(-11.0917 + 1.24973i) q^{56} +(-4.48954 - 4.48954i) q^{57} +(-6.51602 - 4.45290i) q^{58} -7.01064i q^{59} +(-0.264630 + 0.198065i) q^{60} +(-2.34189 - 3.72710i) q^{61} +(2.50888 - 3.99285i) q^{62} +(-0.460399 - 4.08615i) q^{63} +(-4.56677 - 5.72655i) q^{64} +(2.01249 + 6.37212i) q^{65} +(0.437909 + 1.25147i) q^{66} +(-4.95696 - 14.1662i) q^{67} +(0.154394 - 0.0352393i) q^{68} +(-1.41240 - 0.494220i) q^{69} +(-6.81586 - 11.6244i) q^{70} +(-0.889605 - 1.84728i) q^{71} +(2.12224 - 1.69243i) q^{72} +(-5.17704 + 4.12855i) q^{73} +(-3.71921 - 7.72303i) q^{74} +(4.36331 + 2.44162i) q^{75} +(-0.885887 - 0.309985i) q^{76} +(-3.62685 + 0.827805i) q^{77} +(1.44652 + 4.13393i) q^{78} +(1.93932 + 5.54227i) q^{79} +(4.40862 - 8.47884i) q^{80} +(0.623490 + 0.781831i) q^{81} +(1.19690 + 10.6228i) q^{82} +(-3.78918 + 6.03044i) q^{83} +(-0.323397 - 0.514683i) q^{84} +(-1.43541 - 1.91783i) q^{85} -17.8287i q^{86} +(-0.808387 + 5.32414i) q^{87} +(-1.73648 - 1.73648i) q^{88} +(6.10197 - 0.687527i) q^{89} +(2.90752 + 1.51178i) q^{90} +(-11.9804 + 2.73445i) q^{91} +(-0.219808 + 0.0247664i) q^{92} +(-3.19744 - 0.360265i) q^{93} +(-2.35122 - 0.536651i) q^{94} +(1.15600 + 14.1500i) q^{95} +(0.362095 - 0.751897i) q^{96} +(-3.62465 - 15.8806i) q^{97} +(13.0835 - 6.30066i) q^{98} +(0.639718 - 0.639718i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 30 q^{3} + 30 q^{4} + 10 q^{5} - 30 q^{9}+O(q^{10}) \) 180 * q - 30 * q^3 + 30 * q^4 + 10 * q^5 - 30 * q^9	\( 180 q - 30 q^{3} + 30 q^{4} + 10 q^{5} - 30 q^{9} - 4 q^{10} - 30 q^{11} - 180 q^{12} - 20 q^{13} - 10 q^{14} - 4 q^{15} - 14 q^{16} + 8 q^{19} + 2 q^{20} + 36 q^{22} + 64 q^{25} - 36 q^{26} - 30 q^{27} + 72 q^{28} + 12 q^{29} - 4 q^{30} - 20 q^{31} + 12 q^{33} + 40 q^{34} - 6 q^{35} + 30 q^{36} + 42 q^{37} + 16 q^{38} + 22 q^{39} + 18 q^{40} - 10 q^{41} + 4 q^{42} + 26 q^{43} + 4 q^{44} - 4 q^{45} + 12 q^{46} - 20 q^{47} - 70 q^{48} + 8 q^{50} + 12 q^{52} - 82 q^{53} + 48 q^{55} + 6 q^{56} + 8 q^{57} - 70 q^{58} - 40 q^{60} + 14 q^{61} + 110 q^{62} - 14 q^{63} - 74 q^{64} + 42 q^{65} + 22 q^{66} - 20 q^{67} - 98 q^{68} + 28 q^{69} + 8 q^{70} + 140 q^{71} + 98 q^{73} + 22 q^{75} - 4 q^{76} - 42 q^{77} + 34 q^{78} - 24 q^{79} - 62 q^{80} - 30 q^{81} + 6 q^{82} - 60 q^{83} - 68 q^{84} - 178 q^{85} - 44 q^{87} - 156 q^{88} - 12 q^{89} - 4 q^{90} - 56 q^{91} - 8 q^{92} + 8 q^{93} + 4 q^{95} - 42 q^{97} + 194 q^{98} + 12 q^{99}+O(q^{100}) \) 180 * q - 30 * q^3 + 30 * q^4 + 10 * q^5 - 30 * q^9 - 4 * q^10 - 30 * q^11 - 180 * q^12 - 20 * q^13 - 10 * q^14 - 4 * q^15 - 14 * q^16 + 8 * q^19 + 2 * q^20 + 36 * q^22 + 64 * q^25 - 36 * q^26 - 30 * q^27 + 72 * q^28 + 12 * q^29 - 4 * q^30 - 20 * q^31 + 12 * q^33 + 40 * q^34 - 6 * q^35 + 30 * q^36 + 42 * q^37 + 16 * q^38 + 22 * q^39 + 18 * q^40 - 10 * q^41 + 4 * q^42 + 26 * q^43 + 4 * q^44 - 4 * q^45 + 12 * q^46 - 20 * q^47 - 70 * q^48 + 8 * q^50 + 12 * q^52 - 82 * q^53 + 48 * q^55 + 6 * q^56 + 8 * q^57 - 70 * q^58 - 40 * q^60 + 14 * q^61 + 110 * q^62 - 14 * q^63 - 74 * q^64 + 42 * q^65 + 22 * q^66 - 20 * q^67 - 98 * q^68 + 28 * q^69 + 8 * q^70 + 140 * q^71 + 98 * q^73 + 22 * q^75 - 4 * q^76 - 42 * q^77 + 34 * q^78 - 24 * q^79 - 62 * q^80 - 30 * q^81 + 6 * q^82 - 60 * q^83 - 68 * q^84 - 178 * q^85 - 44 * q^87 - 156 * q^88 - 12 * q^89 - 4 * q^90 - 56 * q^91 - 8 * q^92 + 8 * q^93 + 4 * q^95 - 42 * q^97 + 194 * q^98 + 12 * q^99

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