LMFDB - Embedded newform 354.2.e.d.7.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [354,2,Mod(7,354)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

chi = DirichletCharacter(H, H._module([0, 18]))

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

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

chi := DirichletCharacter("354.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 354 = 2 \cdot 3 \cdot 59 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	354.e (of order $29$, degree $28$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.82670423155$
Analytic rank:	$0$
Dimension:	$84$
Relative dimension:	$3$ over $\Q(\zeta_{29})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label			7.3
Character	$\chi$	$=$	354.7
Dual form			354.2.e.d.253.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.561187 + 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(3.32123 - 1.53656i) q^{5} +(0.856857 - 0.515554i) q^{6} +(-0.148313 + 0.534175i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})$	\(q+(0.561187 + 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(3.32123 - 1.53656i) q^{5} +(0.856857 - 0.515554i) q^{6} +(-0.148313 + 0.534175i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(3.13563 + 1.88664i) q^{10} +(2.98869 - 2.83104i) q^{11} +(0.907575 + 0.419889i) q^{12} +(-4.99155 + 0.542864i) q^{13} +(-0.525363 + 0.177015i) q^{14} +(-1.35450 - 3.39955i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(0.738396 + 2.65946i) q^{17} +(-0.468408 - 0.883512i) q^{18} +(4.82995 - 3.67163i) q^{19} +(0.198119 + 3.65408i) q^{20} +(0.525363 + 0.177015i) q^{21} +(4.02044 + 0.884965i) q^{22} +(-0.732251 + 1.38117i) q^{23} +(0.161782 + 0.986827i) q^{24} +(5.43260 - 6.39575i) q^{25} +(-3.25052 - 3.82681i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(-0.441340 - 0.335498i) q^{28} +(-5.70258 + 8.41068i) q^{29} +(2.05364 - 3.02889i) q^{30} +(7.18814 + 5.46428i) q^{31} +(0.161782 - 0.986827i) q^{32} +(-2.66508 - 3.13758i) q^{33} +(-1.78683 + 2.10362i) q^{34} +(0.328213 + 2.00201i) q^{35} +(0.468408 - 0.883512i) q^{36} +(-6.54999 - 1.44176i) q^{37} +(5.74948 + 1.93723i) q^{38} +(0.271831 + 5.01362i) q^{39} +(-2.91326 + 2.21461i) q^{40} +(-2.92229 - 5.51202i) q^{41} +(0.148313 + 0.534175i) q^{42} +(0.466147 + 0.441558i) q^{43} +(1.52374 + 3.82430i) q^{44} +(-3.46789 + 1.16847i) q^{45} +(-1.55411 + 0.169020i) q^{46} +(-0.890786 - 0.412122i) q^{47} +(-0.725995 + 0.687699i) q^{48} +(5.73465 + 3.45043i) q^{49} +(8.34239 + 0.907290i) q^{50} +(2.69554 - 0.593333i) q^{51} +(1.34326 - 4.83797i) q^{52} +(-7.64567 + 4.60025i) q^{53} +(-0.907575 + 0.419889i) q^{54} +(5.57606 - 13.9948i) q^{55} +(0.0300137 - 0.553570i) q^{56} +(-3.40476 - 5.02165i) q^{57} -10.1616 q^{58} +(-4.01504 + 6.54824i) q^{59} +3.65945 q^{60} +(-6.53193 - 9.63387i) q^{61} +(-0.488835 + 9.01603i) q^{62} +(0.205198 - 0.515009i) q^{63} +(0.907575 - 0.419889i) q^{64} +(-15.7439 + 9.47282i) q^{65} +(1.10133 - 3.96663i) q^{66} +(-11.6181 + 2.55735i) q^{67} +(-2.74389 - 0.298416i) q^{68} +(1.33950 + 0.805953i) q^{69} +(-1.47285 + 1.39516i) q^{70} +(3.18152 + 1.47193i) q^{71} +(0.994138 - 0.108119i) q^{72} +(-6.37059 + 2.14650i) q^{73} +(-2.48244 - 6.23045i) q^{74} +(-6.09225 - 5.77089i) q^{75} +(1.62311 + 5.84593i) q^{76} +(1.06901 + 2.01637i) q^{77} +(-3.99717 + 3.03857i) q^{78} +(-0.699490 - 12.9013i) q^{79} +(-3.46789 - 1.16847i) q^{80} +(0.976621 + 0.214970i) q^{81} +(2.92229 - 5.51202i) q^{82} +(-0.336647 - 2.05346i) q^{83} +(-0.358900 + 0.422529i) q^{84} +(6.53881 + 7.69809i) q^{85} +(-0.103877 + 0.633622i) q^{86} +(8.08961 + 6.14956i) q^{87} +(-2.31023 + 3.40733i) q^{88} +(-0.478153 + 0.705223i) q^{89} +(-2.91326 - 2.21461i) q^{90} +(0.450328 - 2.74688i) q^{91} +(-1.01204 - 1.19147i) q^{92} +(5.84543 - 6.88177i) q^{93} +(-0.158789 - 0.968571i) q^{94} +(10.3997 - 19.6159i) q^{95} +(-0.976621 - 0.214970i) q^{96} +(15.9585 + 5.37704i) q^{97} +(0.362333 + 6.68284i) q^{98} +(-3.27726 + 2.49131i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) $ 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$61$	$119$
$\chi(n)$	$e\left(\frac{9}{29}\right)$	$1$

Coefficient data

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

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

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

$2$	0.561187	+	0.827689i	0.396819	+	0.585265i
$2$	0.561187	+	0.827689i	0.396819	+	0.585265i
$3$	0.0541389	−	0.998533i	0.0312571	−	0.576504i
$3$	0.0541389	−	0.998533i	0.0312571	−	0.576504i
$4$	−0.370138	+	0.928977i	−0.185069	+	0.464488i
$5$	3.32123	−	1.53656i	1.48530	−	0.687172i	0.501288	−	0.865281i	$-0.332860\pi$
$5$	3.32123	−	1.53656i	1.48530	−	0.687172i	0.984011	+	0.178109i	$0.0569978\pi$
$6$	0.856857	−	0.515554i	0.349810	−	0.210474i
$7$	−0.148313	+	0.534175i	−0.0560571	+	0.201899i	−0.986276	−	0.165106i	$-0.947203\pi$
$7$	−0.148313	+	0.534175i	−0.0560571	+	0.201899i	0.930219	+	0.367006i	$0.119617\pi$
$8$	−0.976621	+	0.214970i	−0.345288	+	0.0760035i
$9$	−0.994138	−	0.108119i	−0.331379	−	0.0360397i
$10$	3.13563	+	1.88664i	0.991572	+	0.596609i
$11$	2.98869	−	2.83104i	0.901125	−	0.853590i	−0.0886746	−	0.996061i	$-0.528263\pi$
$11$	2.98869	−	2.83104i	0.901125	−	0.853590i	0.989799	+	0.142470i	$0.0455045\pi$
$12$	0.907575	+	0.419889i	0.261994	+	0.121212i
$13$	−4.99155	+	0.542864i	−1.38441	+	0.150563i	−0.769808	−	0.638276i	$-0.779648\pi$
$13$	−4.99155	+	0.542864i	−1.38441	+	0.150563i	−0.614600	+	0.788839i	$0.710683\pi$
$14$	−0.525363	+	0.177015i	−0.140409	+	0.0473093i
$15$	−1.35450	−	3.39955i	−0.349731	−	0.877759i
$16$	−0.725995	−	0.687699i	−0.181499	−	0.171925i
$17$	0.738396	+	2.65946i	0.179087	+	0.645014i	0.997518	+	0.0704092i	$0.0224305\pi$
$17$	0.738396	+	2.65946i	0.179087	+	0.645014i	−0.818431	+	0.574605i	$0.805156\pi$
$18$	−0.468408	−	0.883512i	−0.110405	−	0.208246i
$19$	4.82995	−	3.67163i	1.10807	−	0.842331i	0.119458	−	0.992839i	$-0.461884\pi$
$19$	4.82995	−	3.67163i	1.10807	−	0.842331i	0.988609	+	0.150508i	$0.0480911\pi$
$20$	0.198119	+	3.65408i	0.0443007	+	0.817078i
$21$	0.525363	+	0.177015i	0.114644	+	0.0386279i
$22$	4.02044	+	0.884965i	0.857160	+	0.188675i
$23$	−0.732251	+	1.38117i	−0.152685	+	0.287994i	−0.948041	−	0.318148i	$-0.896939\pi$
$23$	−0.732251	+	1.38117i	−0.152685	+	0.287994i	0.795356	+	0.606143i	$0.207284\pi$
$24$	0.161782	+	0.986827i	0.0330236	+	0.201435i
$25$	5.43260	−	6.39575i	1.08652	−	1.27915i
$26$	−3.25052	−	3.82681i	−0.637479	−	0.750498i
$27$	−0.161782	+	0.986827i	−0.0311350	+	0.189915i
$28$	−0.441340	−	0.335498i	−0.0834055	−	0.0634032i
$29$	−5.70258	+	8.41068i	−1.05894	+	1.56182i	−0.255161	+	0.966898i	$0.582129\pi$
$29$	−5.70258	+	8.41068i	−1.05894	+	1.56182i	−0.803781	+	0.594925i	$0.797182\pi$
$30$	2.05364	−	3.02889i	0.374941	−	0.552997i
$31$	7.18814	+	5.46428i	1.29103	+	0.981414i	0.999693	+	0.0247935i	$0.00789282\pi$
$31$	7.18814	+	5.46428i	1.29103	+	0.981414i	0.291336	+	0.956621i	$0.405900\pi$
$32$	0.161782	−	0.986827i	0.0285993	−	0.174448i
$33$	−2.66508	−	3.13758i	−0.463931	−	0.546182i
$34$	−1.78683	+	2.10362i	−0.306439	+	0.360767i
$35$	0.328213	+	2.00201i	0.0554781	+	0.338402i
$36$	0.468408	−	0.883512i	0.0780681	−	0.147252i
$37$	−6.54999	−	1.44176i	−1.07681	−	0.237024i	−0.359053	−	0.933317i	$-0.616900\pi$
$37$	−6.54999	−	1.44176i	−1.07681	−	0.237024i	−0.717758	+	0.696293i	$0.754831\pi$
$38$	5.74948	+	1.93723i	0.932689	+	0.314259i
$39$	0.271831	+	5.01362i	0.0435278	+	0.802822i
$40$	−2.91326	+	2.21461i	−0.460627	+	0.350160i
$41$	−2.92229	−	5.51202i	−0.456384	−	0.860832i	−0.999772	−	0.0213504i	$-0.993203\pi$
$41$	−2.92229	−	5.51202i	−0.456384	−	0.860832i	0.543388	−	0.839482i	$-0.317141\pi$
$42$	0.148313	+	0.534175i	0.0228852	+	0.0824251i
$43$	0.466147	+	0.441558i	0.0710868	+	0.0673370i	0.722418	−	0.691456i	$-0.243031\pi$
$43$	0.466147	+	0.441558i	0.0710868	+	0.0673370i	−0.651331	+	0.758793i	$0.725789\pi$
$44$	1.52374	+	3.82430i	0.229713	+	0.576535i
$45$	−3.46789	+	1.16847i	−0.516963	+	0.174185i
$46$	−1.55411	+	0.169020i	−0.229141	+	0.0249206i
$47$	−0.890786	−	0.412122i	−0.129935	−	0.0601141i	0.353845	−	0.935304i	$-0.384874\pi$
$47$	−0.890786	−	0.412122i	−0.129935	−	0.0601141i	−0.483779	+	0.875190i	$0.660736\pi$
$48$	−0.725995	+	0.687699i	−0.104788	+	0.0992609i
$49$	5.73465	+	3.45043i	0.819236	+	0.492918i
$50$	8.34239	+	0.907290i	1.17979	+	0.128310i
$51$	2.69554	−	0.593333i	0.377451	−	0.0830832i
$52$	1.34326	−	4.83797i	0.186276	−	0.670906i
$53$	−7.64567	+	4.60025i	−1.05021	+	0.631893i	−0.932506	−	0.361155i	$-0.882382\pi$
$53$	−7.64567	+	4.60025i	−1.05021	+	0.631893i	−0.117708	+	0.993048i	$0.537555\pi$
$54$	−0.907575	+	0.419889i	−0.123505	+	0.0571397i
$55$	5.57606	−	13.9948i	0.751875	−	1.88706i
$56$	0.0300137	−	0.553570i	0.00401075	−	0.0739739i
$57$	−3.40476	−	5.02165i	−0.450972	−	0.665134i
$58$	−10.1616			−1.33429
$59$	−4.01504	+	6.54824i	−0.522713	+	0.852509i
$59$	−4.01504	+	6.54824i	−0.522713	+	0.852509i
$60$	3.65945			0.472433
$61$	−6.53193	−	9.63387i	−0.836328	−	1.23349i	−0.970155	−	0.242486i	$-0.922037\pi$
$61$	−6.53193	−	9.63387i	−0.836328	−	1.23349i	0.133827	−	0.991005i	$-0.457273\pi$
$62$	−0.488835	+	9.01603i	−0.0620821	+	1.14504i
$63$	0.205198	−	0.515009i	0.0258525	−	0.0648850i
$64$	0.907575	−	0.419889i	0.113447	−	0.0524861i
$65$	−15.7439	+	9.47282i	−1.95280	+	1.17496i
$66$	1.10133	−	3.96663i	0.135564	−	0.488258i
$67$	−11.6181	+	2.55735i	−1.41938	+	0.312430i	−0.857371	−	0.514699i	$-0.827904\pi$
$67$	−11.6181	+	2.55735i	−1.41938	+	0.312430i	−0.562012	+	0.827129i	$0.689973\pi$
$68$	−2.74389	−	0.298416i	−0.332745	−	0.0361882i
$69$	1.33950	+	0.805953i	0.161257	+	0.0970253i
$70$	−1.47285	+	1.39516i	−0.176040	+	0.166754i
$71$	3.18152	+	1.47193i	0.377577	+	0.174686i	0.599493	−	0.800380i	$-0.295369\pi$
$71$	3.18152	+	1.47193i	0.377577	+	0.174686i	−0.221916	+	0.975066i	$0.571231\pi$
$72$	0.994138	−	0.108119i	0.117160	−	0.0127419i
$73$	−6.37059	+	2.14650i	−0.745621	+	0.251229i	−0.666366	−	0.745625i	$-0.732151\pi$
$73$	−6.37059	+	2.14650i	−0.745621	+	0.251229i	−0.0792558	+	0.996854i	$0.525254\pi$
$74$	−2.48244	−	6.23045i	−0.288578	−	0.724275i
$75$	−6.09225	−	5.77089i	−0.703473	−	0.666365i
$76$	1.62311	+	5.84593i	0.186184	+	0.670574i
$77$	1.06901	+	2.01637i	0.121825	+	0.229786i
$78$	−3.99717	+	3.03857i	−0.452591	+	0.344050i
$79$	−0.699490	−	12.9013i	−0.0786988	−	1.45151i	−0.725167	−	0.688573i	$-0.758238\pi$
$79$	−0.699490	−	12.9013i	−0.0786988	−	1.45151i	0.646469	−	0.762941i	$-0.276245\pi$
$80$	−3.46789	−	1.16847i	−0.387722	−	0.130639i
$81$	0.976621	+	0.214970i	0.108513	+	0.0238856i
$82$	2.92229	−	5.51202i	0.322712	−	0.608700i
$83$	−0.336647	−	2.05346i	−0.0369518	−	0.225396i	0.961894	−	0.273422i	$-0.0881554\pi$
$83$	−0.336647	−	2.05346i	−0.0369518	−	0.225396i	−0.998846	+	0.0480254i	$0.984707\pi$
$84$	−0.358900	+	0.422529i	−0.0391592	+	0.0461017i
$85$	6.53881	+	7.69809i	0.709234	+	0.834975i
$86$	−0.103877	+	0.633622i	−0.0112013	+	0.0683252i
$87$	8.08961	+	6.14956i	0.867297	+	0.659302i
$88$	−2.31023	+	3.40733i	−0.246271	+	0.363223i
$89$	−0.478153	+	0.705223i	−0.0506841	+	0.0747535i	−0.852187	−	0.523238i	$-0.824724\pi$
$89$	−0.478153	+	0.705223i	−0.0506841	+	0.0747535i	0.801503	+	0.597991i	$0.204034\pi$
$90$	−2.91326	−	2.21461i	−0.307085	−	0.233440i
$91$	0.450328	−	2.74688i	0.0472072	−	0.287951i
$92$	−1.01204	−	1.19147i	−0.105513	−	0.124219i
$93$	5.84543	−	6.88177i	0.606143	−	0.713606i
$94$	−0.158789	−	0.968571i	−0.0163779	−	0.0999005i
$95$	10.3997	−	19.6159i	1.06698	−	2.01255i
$96$	−0.976621	−	0.214970i	−0.0996759	−	0.0219403i
$97$	15.9585	+	5.37704i	1.62034	+	0.545956i	0.975810	−	0.218622i	$-0.0701562\pi$
$97$	15.9585	+	5.37704i	1.62034	+	0.545956i	0.644531	+	0.764578i	$0.277053\pi$
$98$	0.362333	+	6.68284i	0.0366012	+	0.675069i
$99$	−3.27726	+	2.49131i	−0.329377	+	0.250386i
$100$	3.93069	+	7.41407i	0.393069	+	0.741407i
$101$	2.84920	+	10.2619i	0.283506	+	1.02110i	0.958924	+	0.283662i	$0.0915492\pi$
$101$	2.84920	+	10.2619i	0.283506	+	1.02110i	−0.675419	+	0.737435i	$0.736037\pi$
$102$	2.00380	+	1.89810i	0.198405	+	0.187939i
$103$	0.0267526	+	0.0671440i	0.00263601	+	0.00661590i	0.930289	−	0.366828i	$-0.119556\pi$
$103$	0.0267526	+	0.0671440i	0.00263601	+	0.00661590i	−0.927653	+	0.373444i	$0.878177\pi$
$104$	4.75815	−	1.60321i	0.466575	−	0.157208i
$105$	2.01684	−	0.219345i	0.196824	−	0.0214059i
$106$	−8.09823	−	3.74664i	−0.786570	−	0.363906i
$107$	0.159676	−	0.151253i	0.0154365	−	0.0146222i	−0.679942	−	0.733266i	$-0.737995\pi$
$107$	0.159676	−	0.151253i	0.0154365	−	0.0146222i	0.695379	+	0.718643i	$0.255237\pi$
$108$	−0.856857	−	0.515554i	−0.0824511	−	0.0496092i
$109$	−9.28409	−	1.00971i	−0.889254	−	0.0967122i	−0.347924	−	0.937523i	$-0.613113\pi$
$109$	−9.28409	−	1.00971i	−0.889254	−	0.0967122i	−0.541330	+	0.840810i	$0.682079\pi$
$110$	14.7126	−	3.23849i	1.40279	−	0.308777i
$111$	−1.79426	+	6.46233i	−0.170303	+	0.613377i
$112$	0.475027	−	0.285814i	0.0448858	−	0.0270069i
$113$	2.15546	−	0.997222i	0.202769	−	0.0938108i	−0.315877	−	0.948800i	$-0.602299\pi$
$113$	2.15546	−	0.997222i	0.202769	−	0.0938108i	0.518645	+	0.854989i	$0.326437\pi$
$114$	2.24565	−	5.63617i	0.210325	−	0.527875i
$115$	−0.309714	+	5.71234i	−0.0288810	+	0.532678i
$116$	−5.70258	−	8.41068i	−0.529471	−	0.780912i
$117$	5.02099			0.464190
$118$	−7.67309	+	0.351588i	−0.706366	+	0.0323663i
$119$	−1.53013			−0.140267
$120$	2.05364	+	3.02889i	0.187471	+	0.276498i
$121$	0.321967	−	5.93834i	0.0292698	−	0.539849i
$122$	4.30822	−	10.8128i	0.390048	−	0.978946i
$123$	−5.66214	+	2.61959i	−0.510538	+	0.236200i
$124$	−7.73680	+	4.65508i	−0.694785	+	0.418038i
$125$	3.32039	−	11.9589i	0.296984	−	1.06964i
$126$	0.541422	−	0.119176i	0.0482337	−	0.0106170i
$127$	−1.40199	−	0.152475i	−0.124406	−	0.0135300i	0.0457040	−	0.998955i	$-0.485447\pi$
$127$	−1.40199	−	0.152475i	−0.124406	−	0.0135300i	−0.170110	+	0.985425i	$0.554412\pi$
$128$	0.856857	+	0.515554i	0.0757362	+	0.0455690i
$129$	0.466147	−	0.441558i	0.0410420	−	0.0388770i
$130$	−16.6758	−	7.71507i	−1.46257	−	0.676656i
$131$	−13.4768	+	1.46569i	−1.17747	+	0.128058i	−0.675857	−	0.737033i	$-0.736226\pi$
$131$	−13.4768	+	1.46569i	−1.17747	+	0.128058i	−0.501615	+	0.865091i	$0.667261\pi$
$132$	3.90119	−	1.31446i	0.339555	−	0.114409i
$133$	1.24495	+	3.12459i	0.107951	+	0.270937i
$134$	−8.63664	−	8.18106i	−0.746092	−	0.706736i
$135$	0.979007	+	3.52606i	0.0842595	+	0.303475i
$136$	−1.29284	−	2.43855i	−0.110860	−	0.209104i
$137$	11.1203	−	8.45344i	0.950072	−	0.722226i	−0.0105909	−	0.999944i	$-0.503371\pi$
$137$	11.1203	−	8.45344i	0.950072	−	0.722226i	0.960663	+	0.277718i	$0.0895781\pi$
$138$	0.0846340	+	1.56098i	0.00720453	+	0.132880i
$139$	−2.61227	−	0.880176i	−0.221570	−	0.0746556i	0.206327	−	0.978483i	$-0.433849\pi$
$139$	−2.61227	−	0.880176i	−0.221570	−	0.0746556i	−0.427897	+	0.903827i	$0.640745\pi$
$140$	−1.98131	−	0.436118i	−0.167451	−	0.0368587i
$141$	−0.459743	+	0.867168i	−0.0387174	+	0.0730287i
$142$	0.567130	+	3.45934i	0.0475925	+	0.290301i
$143$	−13.3813	+	15.7537i	−1.11900	+	1.31739i
$144$	0.647386	+	0.762162i	0.0539489	+	0.0635135i
$145$	−6.01603	+	36.6962i	−0.499604	+	3.04745i
$146$	−5.35173	−	4.06828i	−0.442912	−	0.336693i
$147$	3.75583	−	5.53944i	0.309776	−	0.456885i
$148$	3.76376	−	5.55113i	0.309379	−	0.456300i
$149$	9.45955	+	7.19096i	0.774957	+	0.589107i	0.916131	−	0.400878i	$-0.131295\pi$
$149$	9.45955	+	7.19096i	0.774957	+	0.589107i	−0.141175	+	0.989985i	$0.545088\pi$
$150$	1.35761	−	8.28104i	0.110848	−	0.676144i
$151$	−3.54164	−	4.16954i	−0.288215	−	0.339313i	0.598932	−	0.800800i	$-0.295592\pi$
$151$	−3.54164	−	4.16954i	−0.288215	−	0.339313i	−0.887147	+	0.461487i	$0.847316\pi$
$152$	−3.92774	+	4.62409i	−0.318582	+	0.375063i
$153$	−0.446529	−	2.72371i	−0.0360997	−	0.220199i
$154$	−1.06901	+	2.01637i	−0.0861433	+	0.162483i
$155$	32.2697	+	7.10309i	2.59196	+	0.570534i
$156$	−4.75815	−	1.60321i	−0.380957	−	0.128359i
$157$	−0.488519	−	9.01020i	−0.0389880	−	0.719092i	−0.951050	−	0.309038i	$-0.899993\pi$
$157$	−0.488519	−	9.01020i	−0.0389880	−	0.719092i	0.912062	−	0.410053i	$-0.134490\pi$
$158$	10.2857	−	7.81902i	0.818290	−	0.622048i
$159$	4.17957	+	7.88351i	0.331462	+	0.625203i
$160$	−0.979007	−	3.52606i	−0.0773973	−	0.278760i
$161$	−0.629186	−	0.595997i	−0.0495868	−	0.0469711i
$162$	0.370138	+	0.928977i	0.0290808	+	0.0729873i
$163$	19.5097	−	6.57357i	1.52811	−	0.514882i	0.575172	−	0.818032i	$-0.304935\pi$
$163$	19.5097	−	6.57357i	1.52811	−	0.514882i	0.952943	+	0.303150i	$0.0980385\pi$
$164$	6.20218	−	0.674528i	0.484309	−	0.0526718i
$165$	−13.6724	−	6.32554i	−1.06440	−	0.492443i
$166$	1.51070	−	1.43101i	0.117253	−	0.111068i
$167$	2.42442	+	1.45873i	0.187608	+	0.112880i	0.606259	−	0.795267i	$-0.292669\pi$
$167$	2.42442	+	1.45873i	0.187608	+	0.112880i	−0.418651	+	0.908147i	$0.637497\pi$
$168$	−0.551133	−	0.0599393i	−0.0425208	−	0.00462442i
$169$	11.9248	−	2.62486i	0.917295	−	0.201912i
$170$	−2.70212	+	9.73217i	−0.207243	+	0.746423i
$171$	−5.19861	+	3.12790i	−0.397548	+	0.239197i
$172$	−0.582736	+	0.269602i	−0.0444332	+	0.0205570i
$173$	−5.12273	+	12.8571i	−0.389474	+	0.977506i	0.595275	+	0.803522i	$0.297043\pi$
$173$	−5.12273	+	12.8571i	−0.389474	+	0.977506i	−0.984749	+	0.173983i	$0.944336\pi$
$174$	−0.550140	+	10.1467i	−0.0417060	+	0.769222i
$175$	2.61073	+	3.85053i	0.197352	+	0.291073i
$176$	−4.11668			−0.310307
$177$	6.32127	+	4.36366i	0.475136	+	0.327993i
$178$	−0.852039			−0.0638630
$179$	0.290664	+	0.428698i	0.0217253	+	0.0320424i	0.838397	−	0.545061i	$-0.183493\pi$
$179$	0.290664	+	0.428698i	0.0217253	+	0.0320424i	−0.816671	+	0.577103i	$0.804183\pi$
$180$	0.198119	−	3.65408i	0.0147669	−	0.272359i
$181$	2.67214	−	6.70658i	0.198619	−	0.498496i	−0.795606	−	0.605815i	$-0.792847\pi$
$181$	2.67214	−	6.70658i	0.198619	−	0.498496i	0.994225	+	0.107319i	$0.0342266\pi$
$182$	2.52628	−	1.16878i	0.187260	−	0.0866359i
$183$	−9.97337	+	6.00078i	−0.737253	+	0.443590i
$184$	0.418220	−	1.50629i	0.0308316	−	0.111045i
$185$	−23.9694	+	5.27605i	−1.76226	+	0.387903i
$186$	8.97634	+	0.976236i	0.658177	+	0.0715811i
$187$	9.73588	+	5.85788i	0.711958	+	0.428371i
$188$	0.712565	−	0.674978i	0.0519692	−	0.0492278i
$189$	−0.503144	−	0.232779i	−0.0365984	−	0.0169322i
$190$	22.0720	−	2.40047i	1.60127	−	0.174149i
$191$	17.8582	−	6.01712i	1.29217	−	0.435384i	0.412498	−	0.910959i	$-0.364656\pi$
$191$	17.8582	−	6.01712i	1.29217	−	0.435384i	0.879675	+	0.475575i	$0.157760\pi$
$192$	−0.370138	−	0.928977i	−0.0267124	−	0.0670431i
$193$	8.51961	+	8.07021i	0.613255	+	0.580906i	0.929979	−	0.367611i	$-0.119824\pi$
$193$	8.51961	+	8.07021i	0.613255	+	0.580906i	−0.316724	+	0.948518i	$0.602583\pi$
$194$	4.50518	+	16.2262i	0.323453	+	1.16497i
$195$	8.60656	+	16.2337i	0.616329	+	1.16252i
$196$	−5.32798	+	4.05023i	−0.380570	+	0.289302i
$197$	−0.311247	−	5.74062i	−0.0221754	−	0.409002i	−0.988456	−	0.151510i	$-0.951587\pi$
$197$	−0.311247	−	5.74062i	−0.0221754	−	0.409002i	0.966280	−	0.257492i	$-0.0828962\pi$
$198$	−3.90119	−	1.31446i	−0.277245	−	0.0934148i
$199$	6.74740	+	1.48522i	0.478311	+	0.105284i	0.447581	−	0.894244i	$-0.352286\pi$
$199$	6.74740	+	1.48522i	0.478311	+	0.105284i	0.0307300	+	0.999528i	$0.490217\pi$
$200$	−3.93069	+	7.41407i	−0.277942	+	0.524254i
$201$	1.92460	+	11.7396i	0.135751	+	0.828045i
$202$	−6.89472	+	8.11709i	−0.485111	+	0.571117i
$203$	−3.64701	−	4.29359i	−0.255970	−	0.301351i
$204$	−0.446529	+	2.72371i	−0.0312633	+	0.190698i
$205$	−18.1751	−	13.8164i	−1.26941	−	0.964978i
$206$	−0.0405611	+	0.0598232i	−0.00282603	+	0.00416808i
$207$	0.877290	−	1.29391i	0.0609759	−	0.0899327i
$208$	3.99717	+	3.03857i	0.277154	+	0.210687i
$209$	4.04070	−	24.6472i	0.279501	−	1.70488i
$210$	1.31338	+	1.54623i	0.0906316	+	0.106700i
$211$	13.2765	−	15.6303i	0.913991	−	1.07603i	−0.0828460	−	0.996562i	$-0.526401\pi$
$211$	13.2765	−	15.6303i	0.913991	−	1.07603i	0.996837	−	0.0794713i	$-0.0253232\pi$
$212$	−1.44357	−	8.80538i	−0.0991447	−	0.604756i
$213$	1.64202	−	3.09717i	0.112509	−	0.212215i
$214$	0.214799	+	0.0472809i	0.0146834	+	0.00323205i
$215$	2.22666	+	0.750250i	0.151857	+	0.0511667i
$216$	−0.0541389	−	0.998533i	−0.00368369	−	0.0679416i
$217$	−3.98498	+	3.02930i	−0.270518	+	0.205643i
$218$	−4.37439	−	8.25097i	−0.296271	−	0.558826i
$219$	1.79846	+	6.47746i	0.121528	+	0.437706i
$220$	10.9370	+	10.3601i	0.737371	+	0.698474i
$221$	−5.12947	−	12.8740i	−0.345045	−	0.865999i
$222$	−6.35571	+	2.14149i	−0.426567	+	0.143727i
$223$	11.3094	−	1.22997i	0.757334	−	0.0823650i	0.278698	−	0.960379i	$-0.410097\pi$
$223$	11.3094	−	1.22997i	0.757334	−	0.0823650i	0.478636	+	0.878014i	$0.341132\pi$
$224$	0.503144	+	0.232779i	0.0336177	+	0.0155532i
$225$	−6.09225	+	5.77089i	−0.406150	+	0.384726i
$226$	2.03501	+	1.22442i	0.135367	+	0.0814474i
$227$	4.39796	+	0.478307i	0.291903	+	0.0317463i	0.252899	−	0.967493i	$-0.418616\pi$
$227$	4.39796	+	0.478307i	0.291903	+	0.0317463i	0.0390039	+	0.999239i	$0.487582\pi$
$228$	5.92523	−	1.30424i	0.392408	−	0.0863755i
$229$	−3.39680	+	12.2342i	−0.224467	+	0.808457i	0.762425	+	0.647076i	$0.224008\pi$
$229$	−3.39680	+	12.2342i	−0.224467	+	0.808457i	−0.986892	+	0.161381i	$0.948405\pi$
$230$	−4.90185	+	2.94934i	−0.323218	+	0.194474i
$231$	2.07128	−	0.958278i	0.136280	−	0.0630501i
$232$	3.76121	−	9.43993i	0.246936	−	0.619762i
$233$	1.00686	−	18.5705i	0.0659618	−	1.21659i	−0.758880	−	0.651231i	$-0.774253\pi$
$233$	1.00686	−	18.5705i	0.0659618	−	1.21659i	0.824842	−	0.565364i	$-0.191264\pi$
$234$	2.81771	+	4.15582i	0.184200	+	0.271674i
$235$	−3.59176			−0.234300
$236$	−4.59705	−	6.15363i	−0.299242	−	0.400567i
$237$	−12.9203			−0.839263
$238$	−0.858691	−	1.26647i	−0.0556607	−	0.0820933i
$239$	−0.292440	+	5.39374i	−0.0189164	+	0.348892i	0.973719	+	0.227752i	$0.0731377\pi$
$239$	−0.292440	+	5.39374i	−0.0189164	+	0.348892i	−0.992635	+	0.121140i	$0.961345\pi$
$240$	−1.35450	+	3.39955i	−0.0874328	+	0.219440i
$241$	16.4880	−	7.62817i	1.06209	−	0.491374i	0.190537	−	0.981680i	$-0.438977\pi$
$241$	16.4880	−	7.62817i	1.06209	−	0.491374i	0.871550	+	0.490306i	$0.163115\pi$
$242$	5.09578	−	3.06603i	0.327569	−	0.197092i
$243$	0.267528	−	0.963550i	0.0171620	−	0.0618118i
$244$	11.3674	−	2.50214i	0.727721	−	0.160183i
$245$	24.3479	+	2.64799i	1.55553	+	0.169174i
$246$	−5.34572	−	3.21641i	−0.340831	−	0.205071i
$247$	−22.1158	+	20.9492i	−1.40719	+	1.33296i
$248$	−8.19475	−	3.79129i	−0.520367	−	0.240747i
$249$	−2.06867	+	0.224982i	−0.131097	+	0.0142576i
$250$	11.7616	−	3.96296i	0.743872	−	0.250640i
$251$	4.02956	+	10.1134i	0.254343	+	0.638354i	0.999596	−	0.0284286i	$-0.00905032\pi$
$251$	4.02956	+	10.1134i	0.254343	+	0.638354i	−0.745252	+	0.666782i	$0.767671\pi$
$252$	0.402479	+	0.381249i	0.0253538	+	0.0240164i
$253$	1.72168	+	6.20093i	0.108241	+	0.389849i
$254$	−0.660575	−	1.24598i	−0.0414482	−	0.0781796i
$255$	8.04080	−	6.11246i	0.503534	−	0.382777i
$256$	0.0541389	+	0.998533i	0.00338368	+	0.0624083i
$257$	0.443062	+	0.149285i	0.0276375	+	0.00931214i	0.333086	−	0.942896i	$-0.391910\pi$
$257$	0.443062	+	0.149285i	0.0276375	+	0.00931214i	−0.305449	+	0.952208i	$0.598806\pi$
$258$	0.627069	+	0.138028i	0.0390396	+	0.00859326i
$259$	1.74160	−	3.28501i	0.108218	−	0.204121i
$260$	−2.97259	−	18.1320i	−0.184352	−	1.12450i
$261$	6.57851	−	7.74482i	0.407199	−	0.479392i
$262$	−8.77613	−	10.3321i	−0.542191	−	0.638317i
$263$	2.59676	−	15.8395i	0.160123	−	0.976708i	−0.777456	−	0.628937i	$-0.783490\pi$
$263$	2.59676	−	15.8395i	0.160123	−	0.976708i	0.937579	−	0.347771i	$-0.113061\pi$
$264$	3.27726	+	2.49131i	0.201701	+	0.153329i
$265$	−18.3245	+	27.0265i	−1.12566	+	1.66023i
$266$	−1.88754	+	2.78391i	−0.115733	+	0.170693i
$267$	0.678302	+	0.515632i	0.0415114	+	0.0315562i
$268$	1.92460	−	11.7396i	0.117564	−	0.717108i
$269$	−19.1716	−	22.5705i	−1.16891	−	1.37615i	−0.912244	−	0.409648i	$-0.865652\pi$
$269$	−19.1716	−	22.5705i	−1.16891	−	1.37615i	−0.256667	−	0.966500i	$-0.582624\pi$
$270$	−2.36908	+	2.78910i	−0.144178	+	0.169739i
$271$	−3.03699	−	18.5248i	−0.184484	−	1.12530i	−0.902951	−	0.429743i	$-0.858604\pi$
$271$	−3.03699	−	18.5248i	−0.184484	−	1.12530i	0.718467	−	0.695561i	$-0.244844\pi$
$272$	1.29284	−	2.43855i	0.0783898	−	0.147859i
$273$	−2.71847	−	0.598381i	−0.164529	−	0.0362156i
$274$	13.2374	+	4.46019i	0.799700	+	0.269450i
$275$	−1.87025	−	34.4948i	−0.112781	−	2.08012i
$276$	−1.24451	+	0.946054i	−0.0749109	+	0.0569458i
$277$	3.61295	+	6.81476i	0.217081	+	0.409459i	0.968005	−	0.250930i	$-0.0807363\pi$
$277$	3.61295	+	6.81476i	0.217081	+	0.409459i	−0.750924	+	0.660389i	$0.770392\pi$
$278$	−0.737460	−	2.65609i	−0.0442299	−	0.159302i
$279$	−6.55521	−	6.20943i	−0.392450	−	0.371749i
$280$	−0.750913	−	1.88465i	−0.0448756	−	0.112629i
$281$	−22.7115	+	7.65238i	−1.35485	+	0.456503i	−0.900708	−	0.434425i	$-0.856952\pi$
$281$	−22.7115	+	7.65238i	−1.35485	+	0.456503i	−0.454144	+	0.890928i	$0.650055\pi$
$282$	−0.975748	+	0.106119i	−0.0581049	+	0.00631929i
$283$	−24.3061	−	11.2452i	−1.44485	−	0.668457i	−0.468261	−	0.883590i	$-0.655119\pi$
$283$	−24.3061	−	11.2452i	−1.44485	−	0.668457i	−0.976585	+	0.215134i	$0.930981\pi$
$284$	−2.54499	+	2.41074i	−0.151017	+	0.143051i
$285$	−19.0241	−	11.4464i	−1.12689	−	0.678027i
$286$	−20.5486	−	2.23480i	−1.21507	−	0.132146i
$287$	3.37780	−	0.743509i	0.199385	−	0.0438880i
$288$	−0.267528	+	0.963550i	−0.0157643	+	0.0567777i
$289$	8.03907	−	4.83695i	0.472886	−	0.284526i
$290$	−33.7491	+	15.6140i	−1.98182	+	0.916886i
$291$	6.23313	−	15.6440i	0.365393	−	0.917067i
$292$	0.363948	−	6.71263i	0.0212985	−	0.392827i
$293$	11.0420	+	16.2858i	0.645083	+	0.951426i	0.999864	+	0.0164768i	$0.00524496\pi$
$293$	11.0420	+	16.2858i	0.645083	+	0.951426i	−0.354781	+	0.934949i	$0.615445\pi$
$294$	6.69266			0.390324
$295$	−3.27306	+	27.9176i	−0.190565	+	1.62542i
$296$	6.70679			0.389824
$297$	2.31023	+	3.40733i	0.134053	+	0.197713i
$298$	−0.643304	+	11.8650i	−0.0372656	+	0.687323i
$299$	2.90528	−	7.29171i	0.168017	−	0.421690i
$300$	7.61600	−	3.52354i	0.439710	−	0.203431i
$301$	−0.305005	+	0.183516i	−0.0175802	+	0.0105777i
$302$	1.46356	−	5.27127i	0.0842185	−	0.303328i
$303$	10.4011	−	2.28945i	0.597527	−	0.131526i
$304$	−6.03151	−	0.655966i	−0.345931	−	0.0376222i
$305$	−36.4971	−	21.9596i	−2.08982	−	1.25740i
$306$	2.00380	−	1.89810i	0.114549	−	0.108507i
$307$	−20.4880	−	9.47876i	−1.16931	−	0.540981i	−0.263499	−	0.964660i	$-0.584877\pi$
$307$	−20.4880	−	9.47876i	−1.16931	−	0.540981i	−0.905813	+	0.423678i	$0.860739\pi$
$308$	−2.26884	+	0.246751i	−0.129279	+	0.0140599i
$309$	0.0684939	−	0.0230783i	0.00389648	−	0.00131288i
$310$	12.2302	+	30.6954i	0.694627	+	1.74338i
$311$	12.7114	+	12.0409i	0.720798	+	0.682776i	0.957379	−	0.288835i	$-0.0932681\pi$
$311$	12.7114	+	12.0409i	0.720798	+	0.682776i	−0.236580	+	0.971612i	$0.576027\pi$
$312$	−1.34326	−	4.83797i	−0.0760469	−	0.273896i
$313$	−4.30822	−	8.12616i	−0.243515	−	0.459318i	0.731384	−	0.681966i	$-0.238875\pi$
$313$	−4.30822	−	8.12616i	−0.243515	−	0.459318i	−0.974899	+	0.222648i	$0.928530\pi$
$314$	7.18349	−	5.46075i	0.405388	−	0.308168i
$315$	−0.109834	−	2.02576i	−0.00618842	−	0.114139i
$316$	12.2439	+	4.12547i	0.688776	+	0.232076i
$317$	2.60355	+	0.573085i	0.146230	+	0.0321876i	0.287482	−	0.957786i	$-0.407182\pi$
$317$	2.60355	+	0.573085i	0.146230	+	0.0321876i	−0.141252	+	0.989974i	$0.545113\pi$
$318$	−4.17957	+	7.88351i	−0.234379	+	0.442086i
$319$	6.76770	+	41.2812i	0.378919	+	2.31130i
$320$	2.36908	−	2.78910i	0.132436	−	0.155915i
$321$	−0.142387	−	0.167631i	−0.00794726	−	0.00935624i
$322$	0.140209	−	0.855236i	0.00781353	−	0.0476604i
$323$	13.3310	+	10.1340i	0.741756	+	0.563868i
$324$	−0.561187	+	0.827689i	−0.0311771	+	0.0459827i
$325$	−23.6451	+	34.8739i	−1.31159	+	1.93445i
$326$	16.3894	+	12.4589i	0.907727	+	0.690036i
$327$	−1.51085	+	9.21581i	−0.0835504	+	0.509635i
$328$	4.03888	+	4.75494i	0.223010	+	0.262548i
$329$	0.352261	−	0.414713i	0.0194208	−	0.0228639i
$330$	−2.43721	−	14.8663i	−0.134164	−	0.818365i
$331$	10.1297	−	19.1067i	0.556779	−	1.05020i	−0.432149	−	0.901802i	$-0.642244\pi$
$331$	10.1297	−	19.1067i	0.556779	−	1.05020i	0.988928	−	0.148395i	$-0.0474107\pi$
$332$	2.03222	+	0.447326i	0.111533	+	0.0245502i
$333$	6.35571	+	2.14149i	0.348291	+	0.117353i
$334$	0.153183	+	2.82529i	0.00838178	+	0.154593i
$335$	−34.6570	+	26.3456i	−1.89351	+	1.43941i
$336$	−0.259678	−	0.489804i	−0.0141666	−	0.0267210i
$337$	−5.70345	−	20.5420i	−0.310687	−	1.11899i	−0.939813	−	0.341690i	$-0.889001\pi$
$337$	−5.70345	−	20.5420i	−0.310687	−	1.11899i	0.629126	−	0.777303i	$-0.283413\pi$
$338$	8.86463	+	8.39702i	0.482172	+	0.456738i
$339$	−0.879066	−	2.20629i	−0.0477443	−	0.119829i
$340$	−9.57161	+	3.22505i	−0.519093	+	0.174903i
$341$	36.9527	−	4.01885i	2.00110	−	0.217633i
$342$	−5.50632	−	2.54750i	−0.297748	−	0.137753i
$343$	−5.51101	+	5.22031i	−0.297567	+	0.281870i
$344$	−0.550171	−	0.331027i	−0.0296632	−	0.0178478i
$345$	5.68719	+	0.618520i	0.306188	+	0.0333000i
$346$	−13.5165	+	2.97520i	−0.726650	+	0.159948i
$347$	−4.72701	+	17.0251i	−0.253759	+	0.913958i	0.721412	+	0.692506i	$0.243493\pi$
$347$	−4.72701	+	17.0251i	−0.253759	+	0.913958i	−0.975171	+	0.221452i	$0.928920\pi$
$348$	−8.70707	+	5.23887i	−0.466748	+	0.280833i
$349$	5.71219	−	2.64274i	0.305767	−	0.141463i	−0.261005	−	0.965337i	$-0.584054\pi$
$349$	5.71219	−	2.64274i	0.305767	−	0.141463i	0.566772	+	0.823875i	$0.308192\pi$
$350$	−1.72194	+	4.32174i	−0.0920415	+	0.231007i
$351$	0.271831	−	5.01362i	0.0145093	−	0.267607i
$352$	−2.31023	−	3.40733i	−0.123136	−	0.181611i
$353$	−12.9893			−0.691350			−0.345675	−	0.938354i	$-0.612350\pi$
$353$	−12.9893			−0.691350			−0.345675	+	0.938354i	$0.612350\pi$
$354$	−0.0643405	+	7.68088i	−0.00341966	+	0.408234i
$355$	12.8283			0.680854
$356$	−0.478153	−	0.705223i	−0.0253421	−	0.0373768i
$357$	−0.0828397	+	1.52789i	−0.00438434	+	0.0808644i
$358$	−0.191711	+	0.481159i	−0.0101323	+	0.0254301i
$359$	2.15702	−	0.997942i	0.113843	−	0.0526693i	−0.362141	−	0.932123i	$-0.617954\pi$
$359$	2.15702	−	0.997942i	0.113843	−	0.0526693i	0.475984	+	0.879454i	$0.342092\pi$
$360$	3.13563	−	1.88664i	0.165262	−	0.0994349i
$361$	4.76451	−	17.1602i	0.250763	−	0.903168i
$362$	7.05053	−	1.55194i	0.370568	−	0.0815681i
$363$	−5.91220	−	0.642991i	−0.310310	−	0.0337483i
$364$	2.38510	+	1.43507i	0.125013	+	0.0752181i
$365$	−17.8600	+	16.9178i	−0.934833	+	0.885520i
$366$	−10.5637	−	4.88729i	−0.552174	−	0.255463i
$367$	20.9495	−	2.27840i	1.09356	−	0.118931i	0.456481	−	0.889733i	$-0.349110\pi$
$367$	20.9495	−	2.27840i	1.09356	−	0.118931i	0.637075	+	0.770802i	$0.280144\pi$
$368$	1.48144	−	0.499156i	0.0772255	−	0.0260203i
$369$	2.30920	+	5.79566i	0.120212	+	0.301710i
$370$	−17.8182	−	16.8783i	−0.926326	−	0.877462i
$371$	−1.32339	−	4.76641i	−0.0687068	−	0.247460i
$372$	4.22939	+	7.97747i	0.219284	+	0.413613i
$373$	−22.4434	+	17.0610i	−1.16207	+	0.883386i	−0.994732	−	0.102513i	$-0.967312\pi$
$373$	−22.4434	+	17.0610i	−1.16207	+	0.883386i	−0.167342	+	0.985899i	$0.553519\pi$
$374$	0.615143	+	11.3456i	0.0318083	+	0.586669i
$375$	−11.7616	−	3.96296i	−0.607369	−	0.204646i
$376$	0.958554	+	0.210994i	0.0494337	+	0.0108812i
$377$	23.8989	−	45.0781i	1.23085	−	2.32164i
$378$	−0.0896891	−	0.547080i	−0.00461311	−	0.0281387i
$379$	16.4069	−	19.3157i	0.842767	−	0.992182i	−0.157223	−	0.987563i	$-0.550254\pi$
$379$	16.4069	−	19.3157i	0.842767	−	0.992182i	0.999989	−	0.00461848i	$-0.00147011\pi$
$380$	14.3734	+	16.9216i	0.737338	+	0.868062i
$381$	−0.228154	+	1.39168i	−0.0116887	+	0.0712978i
$382$	15.0021	+	11.4043i	0.767574	+	0.583494i
$383$	−19.2344	+	28.3686i	−0.982830	+	1.44957i	−0.0917163	+	0.995785i	$0.529235\pi$
$383$	−19.2344	+	28.3686i	−0.982830	+	1.44957i	−0.891114	+	0.453780i	$0.850075\pi$
$384$	0.561187	−	0.827689i	0.0286380	−	0.0422378i
$385$	6.64870	+	5.05421i	0.338849	+	0.257586i
$386$	−1.89852	+	11.5805i	−0.0966323	+	0.589431i
$387$	−0.415674	−	0.489369i	−0.0211299	−	0.0248760i
$388$	−10.9020	+	12.8348i	−0.553465	+	0.651590i
$389$	−6.07668	−	37.0661i	−0.308100	−	1.87933i	−0.455478	−	0.890247i	$-0.650532\pi$
$389$	−6.07668	−	37.0661i	−0.308100	−	1.87933i	0.147378	−	0.989080i	$-0.452917\pi$
$390$	−8.60656	+	16.2337i	−0.435810	+	0.822025i
$391$	−4.21387	−	0.927542i	−0.213104	−	0.0469078i
$392$	−6.34232	−	2.13698i	−0.320336	−	0.107934i
$393$	0.733921	+	13.5364i	0.0370214	+	0.682820i
$394$	4.57678	−	3.47918i	0.230575	−	0.175278i
$395$	−22.1469	−	41.7735i	−1.11433	−	2.10185i
$396$	−1.10133	−	3.96663i	−0.0553439	−	0.199331i
$397$	2.19844	+	2.08247i	0.110336	+	0.104516i	0.740879	−	0.671638i	$-0.234409\pi$
$397$	2.19844	+	2.08247i	0.110336	+	0.104516i	−0.630543	+	0.776154i	$0.717168\pi$
$398$	2.55726	+	6.41823i	0.128184	+	0.321717i
$399$	3.18741	−	1.07396i	0.159570	−	0.0537655i
$400$	−8.34239	+	0.907290i	−0.417120	+	0.0453645i
$401$	10.5879	+	4.89850i	0.528736	+	0.244619i	0.666048	−	0.745909i	$-0.267984\pi$
$401$	10.5879	+	4.89850i	0.528736	+	0.244619i	−0.137313	+	0.990528i	$0.543846\pi$
$402$	−8.63664	+	8.18106i	−0.430757	+	0.408034i
$403$	−38.8464	−	23.3731i	−1.93508	−	1.16430i
$404$	−10.5877	−	1.15148i	−0.526755	−	0.0572881i
$405$	3.57390	−	0.786674i	0.177588	−	0.0390901i
$406$	1.50710	−	5.42810i	0.0747963	−	0.269392i
$407$	−23.6576	+	14.2343i	−1.17266	+	0.705568i
$408$	−2.50497	+	1.15892i	−0.124014	+	0.0573752i
$409$	−8.34384	+	20.9415i	−0.412577	+	1.03549i	0.565034	+	0.825067i	$0.308863\pi$
$409$	−8.34384	+	20.9415i	−0.412577	+	1.03549i	−0.977611	+	0.210422i	$0.932516\pi$
$410$	1.23601	−	22.7969i	0.0610424	−	1.12586i
$411$	−7.83900	−	11.5617i	−0.386669	−	0.570294i
$412$	−0.0722774			−0.00356085
$413$	−2.90243	−	3.11592i	−0.142819	−	0.153325i
$414$	1.56328			0.0768308
$415$	−4.27335	−	6.30272i	−0.209771	−	0.309388i
$416$	−0.271831	+	5.01362i	−0.0133276	+	0.245813i
$417$	−1.02031	+	2.56079i	−0.0499648	+	0.125402i
$418$	22.6678	−	10.4872i	1.10872	−	0.512947i
$419$	−30.1236	+	18.1248i	−1.47164	+	0.885454i	−0.471643	+	0.881790i	$0.656339\pi$
$419$	−30.1236	+	18.1248i	−1.47164	+	0.885454i	−0.999993	+	0.00366410i	$0.998834\pi$
$420$	−0.542745	+	1.95479i	−0.0264832	+	0.0953839i
$421$	4.76347	−	1.04852i	0.232157	−	0.0511016i	−0.0973680	−	0.995248i	$-0.531042\pi$
$421$	4.76347	−	1.04852i	0.232157	−	0.0511016i	0.329525	+	0.944147i	$0.393111\pi$
$422$	20.3876	+	2.21729i	0.992454	+	0.107936i
$423$	0.841006	+	0.506017i	0.0408911	+	0.0246034i
$424$	6.47801	−	6.13629i	0.314600	−	0.298005i
$425$	21.0207	+	9.72519i	1.01965	+	0.471741i
$426$	3.48497	−	0.379013i	0.168847	−	0.0183633i
$427$	6.11495	−	2.06037i	0.295923	−	0.0997081i
$428$	0.0814086	+	0.204320i	0.00393503	+	0.00987619i
$429$	15.0062	+	14.2146i	0.724505	+	0.686288i
$430$	0.628601	+	2.26402i	0.0303138	+	0.109181i
$431$	3.85774	+	7.27646i	0.185821	+	0.350495i	0.958868	−	0.283854i	$-0.0916131\pi$
$431$	3.85774	+	7.27646i	0.185821	+	0.350495i	−0.773047	+	0.634349i	$0.781268\pi$
$432$	0.796093	−	0.605174i	0.0383020	−	0.0291165i
$433$	0.0265238	+	0.489203i	0.00127465	+	0.0235096i	0.999102	−	0.0423804i	$-0.0134941\pi$
$433$	0.0265238	+	0.489203i	0.00127465	+	0.0235096i	−0.997827	+	0.0658899i	$0.979011\pi$
$434$	−4.74364	−	1.59832i	−0.227702	−	0.0767218i
$435$	36.3166	+	7.99390i	1.74125	+	0.383278i
$436$	4.37439	−	8.25097i	0.209495	−	0.395150i
$437$	1.53442	+	9.35956i	0.0734013	+	0.447728i
$438$	−4.35205	+	5.12363i	−0.207949	+	0.244816i
$439$	−15.7711	−	18.5672i	−0.752715	−	0.886164i	0.243779	−	0.969831i	$-0.421613\pi$
$439$	−15.7711	−	18.5672i	−0.752715	−	0.886164i	−0.996494	+	0.0836666i	$0.973337\pi$
$440$	−2.43721	+	14.8663i	−0.116190	+	0.708725i
$441$	−5.32798	−	4.05023i	−0.253713	−	0.192868i
$442$	7.77707	−	11.4703i	0.369918	−	0.545588i
$443$	−6.00949	+	8.86334i	−0.285520	+	0.421110i	−0.943220	−	0.332170i	$-0.892219\pi$
$443$	−6.00949	+	8.86334i	−0.285520	+	0.421110i	0.657700	+	0.753280i	$0.271530\pi$
$444$	−5.33923	−	4.05878i	−0.253389	−	0.192621i
$445$	−0.504435	+	3.07692i	−0.0239125	+	0.145860i
$446$	7.36473	+	8.67043i	0.348730	+	0.410557i
$447$	7.69255	−	9.05637i	0.363845	−	0.428351i
$448$	0.0896891	+	0.547080i	0.00423741	+	0.0258471i
$449$	−6.29958	+	11.8823i	−0.297295	+	0.560759i	−0.986491	−	0.163817i	$-0.947619\pi$
$449$	−6.29958	+	11.8823i	−0.297295	+	0.560759i	0.689195	+	0.724576i	$0.257964\pi$
$450$	−8.19539	−	1.80394i	−0.386335	−	0.0850387i
$451$	−24.3385	−	8.20061i	−1.14606	−	0.386152i
$452$	0.128578	+	2.37148i	0.00604780	+	0.111545i
$453$	−4.35517	+	3.31071i	−0.204624	+	0.155551i
$454$	2.07219	+	3.90856i	0.0972526	+	0.183438i
$455$	−2.72511	−	9.81497i	−0.127755	−	0.460133i
$456$	4.40467	+	4.17232i	0.206267	+	0.195387i
$457$	−0.777737	−	1.95197i	−0.0363810	−	0.0913094i	0.909664	−	0.415346i	$-0.136339\pi$
$457$	−0.777737	−	1.95197i	−0.0363810	−	0.0913094i	−0.946045	+	0.324036i	$0.894960\pi$
$458$	−12.0323	+	4.05416i	−0.562234	+	0.189439i
$459$	−2.74389	+	0.298416i	−0.128074	+	0.0139288i
$460$	−5.19199	−	2.40207i	−0.242078	−	0.111997i
$461$	21.4722	−	20.3395i	1.00006	−	0.947306i	0.00144840	−	0.999999i	$-0.499539\pi$
$461$	21.4722	−	20.3395i	1.00006	−	0.947306i	0.998611	+	0.0526926i	$0.0167803\pi$
$462$	1.95553	+	1.17661i	0.0909797	+	0.0547407i
$463$	−13.4742	−	1.46541i	−0.626198	−	0.0681032i	−0.210482	−	0.977598i	$-0.567503\pi$
$463$	−13.4742	−	1.46541i	−0.626198	−	0.0681032i	−0.415716	+	0.909494i	$0.636469\pi$
$464$	9.92407	−	2.18445i	0.460713	−	0.101411i
$465$	8.83972	−	31.8378i	0.409932	−	1.47644i
$466$	15.9356	−	9.58816i	0.738204	−	0.444163i
$467$	−0.430435	+	0.199141i	−0.0199182	+	0.00921513i	−0.429823	−	0.902913i	$-0.641424\pi$
$467$	−0.430435	+	0.199141i	−0.0199182	+	0.00921513i	0.409905	+	0.912128i	$0.365562\pi$
$468$	−1.85846	+	4.66438i	−0.0859073	+	0.215611i
$469$	0.357051	−	6.58542i	0.0164871	−	0.304086i
$470$	−2.01565	−	2.97286i	−0.0929749	−	0.137128i
$471$	−9.02343			−0.415778
$472$	2.51349	−	7.25826i	0.115693	−	0.334089i
$473$	2.64324			0.121536
$474$	−7.25070	−	10.6940i	−0.333035	−	0.491191i
$475$	2.75634	−	50.8377i	0.126469	−	2.33259i
$476$	0.566361	−	1.42146i	0.0259591	−	0.0651524i
$477$	8.09823	−	3.74664i	0.370792	−	0.171547i
$478$	−4.62845	+	2.78485i	−0.211701	+	0.127376i
$479$	−8.75889	+	31.5467i	−0.400204	+	1.44140i	0.439442	+	0.898271i	$0.355176\pi$
$479$	−8.75889	+	31.5467i	−0.400204	+	1.44140i	−0.839646	+	0.543134i	$0.817238\pi$
$480$	−3.57390	+	0.786674i	−0.163125	+	0.0359066i
$481$	33.4773	+	3.64087i	1.52643	+	0.166010i
$482$	15.5666	+	9.36613i	0.709040	+	0.426615i
$483$	−0.629186	+	0.595997i	−0.0286290	+	0.0271188i
$484$	5.39741	+	2.49711i	0.245337	+	0.113505i
$485$	61.2640	−	6.66286i	2.78185	−	0.302545i
$486$	0.947653	−	0.319302i	0.0429864	−	0.0144838i
$487$	−15.4977	−	38.8963i	−0.702269	−	1.76256i	−0.644975	−	0.764204i	$-0.723132\pi$
$487$	−15.4977	−	38.8963i	−0.702269	−	1.76256i	−0.0572935	−	0.998357i	$-0.518247\pi$
$488$	8.45021	+	8.00447i	0.382523	+	0.362345i
$489$	−5.50770	−	19.8369i	−0.249067	−	0.897057i
$490$	11.4720	+	21.6385i	0.518253	+	0.977528i
$491$	27.1901	−	20.6694i	1.22707	−	0.932796i	0.227908	−	0.973683i	$-0.426811\pi$
$491$	27.1901	−	20.6694i	1.22707	−	0.932796i	0.999164	+	0.0408871i	$0.0130184\pi$
$492$	−0.337759	−	6.22961i	−0.0152274	−	0.280852i
$493$	−26.5786	−	8.95538i	−1.19704	−	0.403330i
$494$	−29.7505	−	6.54858i	−1.33854	−	0.294634i
$495$	−7.05648	+	13.3099i	−0.317165	+	0.598237i
$496$	−1.46077	−	8.91033i	−0.0655907	−	0.400085i
$497$	−1.25813	+	1.48119i	−0.0564349	+	0.0664403i
$498$	−1.34713	−	1.58596i	−0.0603662	−	0.0710686i
$499$	−1.59310	+	9.71750i	−0.0713171	+	0.435015i	0.926899	+	0.375311i	$0.122464\pi$
$499$	−1.59310	+	9.71750i	−0.0713171	+	0.435015i	−0.998216	+	0.0597042i	$0.980984\pi$
$500$	9.88058	+	7.51102i	0.441873	+	0.335903i
$501$	1.58784	−	2.34189i	0.0709396	−	0.104628i
$502$	−6.10944	+	9.01075i	−0.272678	+	0.402169i
$503$	22.0676	+	16.7754i	0.983946	+	0.747977i	0.967755	−	0.251892i	$-0.0810529\pi$
$503$	22.0676	+	16.7754i	0.983946	+	0.747977i	0.0161911	+	0.999869i	$0.494846\pi$
$504$	−0.0896891	+	0.547080i	−0.00399507	+	0.0243689i
$505$	25.2309	+	29.7041i	1.12276	+	1.32182i
$506$	−4.16626	+	4.90490i	−0.185213	+	0.218049i
$507$	−1.97541	−	12.0495i	−0.0877309	−	0.535135i
$508$	0.660575	−	1.24598i	0.0293083	−	0.0552813i
$509$	−29.8613	−	6.57297i	−1.32358	−	0.291342i	−0.503700	−	0.863879i	$-0.668028\pi$
$509$	−29.8613	−	6.57297i	−1.32358	−	0.291342i	−0.819879	+	0.572537i	$0.805959\pi$
$510$	9.57161	+	3.22505i	0.423838	+	0.142808i
$511$	−0.201767	−	3.72137i	−0.00892563	−	0.164624i
$512$	−0.796093	+	0.605174i	−0.0351827	+	0.0267452i
$513$	2.84187	+	5.36033i	0.125472	+	0.236664i
$514$	0.125079	+	0.450494i	0.00551701	+	0.0198705i
$515$	0.192023	+	0.181893i	0.00846153	+	0.00801518i
$516$	0.237658	+	0.596478i	0.0104623	+	0.0262585i
$517$	−3.82902	+	1.29015i	−0.168400	+	0.0567406i
$518$	3.69633	−	0.402000i	0.162407	−	0.0176629i
$519$	12.5609	+	5.81128i	0.551362	+	0.255087i
$520$	13.3395	−	12.6358i	0.584975	−	0.554118i
$521$	33.2694	+	20.0175i	1.45756	+	0.876984i	0.999926	−	0.0121573i	$-0.00386989\pi$
$521$	33.2694	+	20.0175i	1.45756	+	0.876984i	0.457633	+	0.889141i	$0.348697\pi$
$522$	10.1021	+	1.09867i	0.442156	+	0.0480873i
$523$	34.6183	−	7.62006i	1.51375	−	0.333202i	0.621021	−	0.783794i	$-0.286718\pi$
$523$	34.6183	−	7.62006i	1.51375	−	0.333202i	0.892730	+	0.450592i	$0.148787\pi$
$524$	3.62668	−	13.0621i	0.158432	−	0.570622i
$525$	3.98623	−	2.39843i	0.173973	−	0.104676i
$526$	14.5675	−	6.73964i	0.635173	−	0.293862i
$527$	−9.22436	+	23.1514i	−0.401819	+	1.00849i
$528$	−0.222873	+	4.11064i	−0.00969929	+	0.178893i
$529$	11.5359	+	17.0141i	0.501559	+	0.739744i
$530$	−32.6530			−1.41836
$531$	4.69949	−	6.07576i	0.203940	−	0.263665i
$532$	−3.36348			−0.145825
$533$	17.5790	+	25.9271i	0.761432	+	1.12303i
$534$	−0.0461284	+	0.850789i	−0.00199617	+	0.0368172i
$535$	0.297911	−	0.747700i	0.0128798	−	0.0323259i
$536$	10.7968	−	4.99512i	0.466349	−	0.215756i
$537$	0.443805	−	0.267029i	0.0191516	−	0.0115231i
$538$	7.92253	−	28.5344i	0.341564	−	1.23020i
$539$	26.9074	−	5.92277i	1.15898	−	0.255112i
$540$	−3.63800	−	0.395656i	−0.156555	−	0.0170263i
$541$	14.3635	+	8.64223i	0.617535	+	0.371558i	0.789685	−	0.613512i	$-0.210244\pi$
$541$	14.3635	+	8.64223i	0.617535	+	0.371558i	−0.172150	+	0.985071i	$0.555071\pi$
$542$	13.6285	−	12.9096i	0.585393	−	0.554514i
$543$	−6.55207	−	3.03131i	−0.281176	−	0.130086i
$544$	2.74389	−	0.298416i	0.117643	−	0.0127945i
$545$	−32.3860	+	10.9121i	−1.38727	+	0.467424i
$546$	−1.03030	−	2.58585i	−0.0440927	−	0.110664i
$547$	−0.173359	−	0.164214i	−0.00741228	−	0.00702128i	0.683984	−	0.729497i	$-0.260246\pi$
$547$	−0.173359	−	0.164214i	−0.00741228	−	0.00702128i	−0.691397	+	0.722475i	$0.743004\pi$
$548$	3.73700	+	13.4594i	0.159637	+	0.574959i
$549$	5.45203	+	10.2836i	0.232687	+	0.438894i
$550$	27.5014	−	20.9060i	1.17266	−	0.891436i
$551$	3.33774	+	61.5610i	0.142192	+	2.62259i
$552$	−1.48144	−	0.499156i	−0.0630544	−	0.0212455i
$553$	6.99532	+	1.53979i	0.297471	+	0.0654784i
$554$	−3.61295	+	6.81476i	−0.153500	+	0.289531i
$555$	3.97064	+	24.2198i	0.168544	+	1.02808i
$556$	1.78456	−	2.10095i	0.0756824	−	0.0891002i
$557$	23.7732	+	27.9880i	1.00730	+	1.18589i	0.982513	+	0.186195i	$0.0596156\pi$
$557$	23.7732	+	27.9880i	1.00730	+	1.18589i	0.0247891	+	0.999693i	$0.492109\pi$
$558$	1.46077	−	8.91033i	0.0618395	−	0.377204i
$559$	−2.56651	−	1.95101i	−0.108552	−	0.0825188i
$560$	1.13850	−	1.67916i	0.0481104	−	0.0709576i
$561$	6.37638	−	9.40446i	0.269211	−	0.397057i
$562$	−19.0792	−	14.5036i	−0.804806	−	0.611798i
$563$	2.17212	−	13.2494i	0.0915442	−	0.558395i	−0.900735	−	0.434369i	$-0.856971\pi$
$563$	2.17212	−	13.2494i	0.0915442	−	0.558395i	0.992279	−	0.124025i	$-0.0395804\pi$
$564$	−0.635410	−	0.748063i	−0.0267556	−	0.0314991i
$565$	5.62648	−	6.62401i	0.236708	−	0.278674i
$566$	−4.33273	−	26.4285i	−0.182118	−	1.11087i
$567$	−0.259678	+	0.489804i	−0.0109054	+	0.0205698i
$568$	−3.42356	−	0.753583i	−0.143650	−	0.0316197i
$569$	−12.3817	−	4.17189i	−0.519069	−	0.174895i	0.0475590	−	0.998868i	$-0.484856\pi$
$569$	−12.3817	−	4.17189i	−0.519069	−	0.174895i	−0.566628	+	0.823974i	$0.691752\pi$
$570$	−1.20200	−	22.1696i	−0.0503463	−	0.928582i
$571$	−32.4609	+	24.6761i	−1.35844	+	1.03266i	−0.363568	+	0.931568i	$0.618441\pi$
$571$	−32.4609	+	24.6761i	−1.35844	+	1.03266i	−0.994877	+	0.101095i	$0.967765\pi$
$572$	−9.68191	−	18.2620i	−0.404821	−	0.763573i
$573$	−5.04148	−	18.1578i	−0.210611	−	0.758551i
$574$	2.51097	+	2.37852i	0.104806	+	0.0992774i
$575$	4.85560	+	12.1866i	0.202493	+	0.508218i
$576$	−0.947653	+	0.319302i	−0.0394855	+	0.0133042i
$577$	−34.4979	+	3.75188i	−1.43617	+	0.156193i	−0.792855	−	0.609411i	$-0.791406\pi$
$577$	−34.4979	+	3.75188i	−1.43617	+	0.156193i	−0.643313	+	0.765603i	$0.722441\pi$
$578$	8.51491	+	3.93942i	0.354173	+	0.163858i
$579$	8.51961	−	8.07021i	0.354063	−	0.335386i
$580$	−31.8631	−	19.1714i	−1.32304	−	0.796049i
$581$	1.14684	+	0.124726i	0.0475788	+	0.00517450i
$582$	16.4463	−	3.62011i	0.681722	−	0.150058i
$583$	−9.82708	+	35.3939i	−0.406996	+	1.46587i
$584$	5.76022	−	3.46581i	0.238359	−	0.143416i
$585$	16.6758	−	7.71507i	0.689461	−	0.318979i
$586$	−7.28292	+	18.2788i	−0.300855	+	0.755088i
$587$	0.452332	−	8.34277i	0.0186697	−	0.344343i	−0.974243	−	0.225500i	$-0.927599\pi$
$587$	0.452332	−	8.34277i	0.0186697	−	0.344343i	0.992913	−	0.118843i	$-0.0379187\pi$
$588$	3.75583	+	5.53944i	0.154888	+	0.228443i
$589$	54.7812			2.25722
$590$	−24.9439	+	12.9579i	−1.02692	+	0.533468i
$591$	−5.74905			−0.236484
$592$	3.76376	+	5.55113i	0.154690	+	0.228150i
$593$	−0.598235	+	11.0338i	−0.0245666	+	0.453104i	0.960210	+	0.279279i	$0.0900954\pi$
$593$	−0.598235	+	11.0338i	−0.0245666	+	0.453104i	−0.984777	+	0.173825i	$0.944387\pi$
$594$	−1.52374	+	3.82430i	−0.0625198	+	0.156913i
$595$	−5.08192	+	2.35115i	−0.208338	+	0.0963876i
$596$	−10.1816	+	6.12605i	−0.417054	+	0.250933i
$597$	1.84833	−	6.65710i	0.0756473	−	0.272457i
$598$	7.66567	−	1.68734i	0.313473	−	0.0690006i
$599$	18.9730	+	2.06344i	0.775217	+	0.0843099i	0.487171	−	0.873307i	$-0.338029\pi$
$599$	18.9730	+	2.06344i	0.775217	+	0.0843099i	0.288046	+	0.957617i	$0.406994\pi$
$600$	7.19039	+	4.32631i	0.293546	+	0.176621i
$601$	−1.43166	+	1.35614i	−0.0583987	+	0.0553182i	−0.716342	−	0.697749i	$-0.754185\pi$
$601$	−1.43166	+	1.35614i	−0.0583987	+	0.0553182i	0.657944	+	0.753067i	$0.271426\pi$
$602$	−0.323059	−	0.149463i	−0.0131669	−	0.00609166i
$603$	11.8265	−	1.28621i	0.481614	−	0.0523787i
$604$	5.18430	−	1.74680i	0.210946	−	0.0710761i
$605$	−8.05531	−	20.2173i	−0.327495	−	0.821950i
$606$	7.73191	+	7.32406i	0.314088	+	0.297520i
$607$	−0.468084	−	1.68589i	−0.0189990	−	0.0684280i	0.953443	−	0.301574i	$-0.0975119\pi$
$607$	−0.468084	−	1.68589i	−0.0189990	−	0.0684280i	−0.972442	+	0.233146i	$0.925098\pi$
$608$	−2.84187	−	5.36033i	−0.115253	−	0.217390i
$609$	−4.48474	+	3.40921i	−0.181731	+	0.138148i
$610$	−2.30600	−	42.5317i	−0.0933672	−	1.72206i
$611$	4.67013	+	1.57355i	0.188933	+	0.0636591i
$612$	2.69554	+	0.593333i	0.108961	+	0.0239840i
$613$	−15.5518	+	29.3338i	−0.628131	+	1.18478i	0.341424	+	0.939909i	$0.389091\pi$
$613$	−15.5518	+	29.3338i	−0.628131	+	1.18478i	−0.969555	+	0.244872i	$0.921254\pi$
$614$	−3.65214	−	22.2770i	−0.147388	−	0.899028i
$615$	−14.7801	+	17.4005i	−0.595991	+	0.701655i
$616$	−1.47748	−	1.73942i	−0.0595292	−	0.0700832i
$617$	−0.569475	+	3.47364i	−0.0229262	+	0.139844i	−0.995809	−	0.0914536i	$-0.970849\pi$
$617$	−0.569475	+	3.47364i	−0.0229262	+	0.139844i	0.972883	+	0.231297i	$0.0742970\pi$
$618$	0.0575395	+	0.0437404i	0.00231458	+	0.00175950i
$619$	10.0820	−	14.8699i	0.405231	−	0.597671i	−0.569244	−	0.822169i	$-0.692764\pi$
$619$	10.0820	−	14.8699i	0.405231	−	0.597671i	0.974475	+	0.224498i	$0.0720743\pi$
$620$	−18.5428	+	27.3487i	−0.744699	+	1.09835i
$621$	−1.24451	−	0.946054i	−0.0499406	−	0.0379638i
$622$	−2.83263	+	17.2783i	−0.113578	+	0.692796i
$623$	−0.305797	−	0.360011i	−0.0122515	−	0.0144236i
$624$	3.25052	−	3.82681i	0.130125	−	0.153195i
$625$	−0.559891	−	3.41519i	−0.0223957	−	0.136607i
$626$	4.30822	−	8.12616i	0.172191	−	0.324787i
$627$	−24.3923	−	5.36914i	−0.974133	−	0.214423i
$628$	8.55108	+	2.88119i	0.341225	+	0.114972i
$629$	−1.00217	−	18.4840i	−0.0399593	−	0.737006i
$630$	1.61506	−	1.22774i	0.0643457	−	0.0489143i
$631$	−0.0391313	−	0.0738094i	−0.00155779	−	0.00293831i	0.882732	−	0.469877i	$-0.155702\pi$
$631$	−0.0391313	−	0.0738094i	−0.00155779	−	0.00293831i	−0.884290	+	0.466939i	$0.845357\pi$
$632$	3.45654	+	12.4493i	0.137494	+	0.495208i
$633$	−14.8886	−	14.1032i	−0.591768	−	0.560553i
$634$	0.986743	+	2.47654i	0.0391886	+	0.0983559i
$635$	−4.89061	+	1.64784i	−0.194078	+	0.0653925i
$636$	−8.87062	+	0.964738i	−0.351743	+	0.0382544i
$637$	−30.4979	−	14.1099i	−1.20837	−	0.559053i
$638$	−30.3700	+	28.7680i	−1.20236	+	1.13894i
$639$	−3.00373	−	1.80728i	−0.118826	−	0.0714951i
$640$	3.63800	+	0.395656i	0.143805	+	0.0156397i
$641$	12.3436	−	2.71704i	0.487545	−	0.107317i	0.0356064	−	0.999366i	$-0.488664\pi$
$641$	12.3436	−	2.71704i	0.487545	−	0.107317i	0.451938	+	0.892049i	$0.350733\pi$
$642$	0.0588405	−	0.211924i	0.00232225	−	0.00836399i
$643$	31.4864	−	18.9447i	1.24170	−	0.747107i	0.265529	−	0.964103i	$-0.414453\pi$
$643$	31.4864	−	18.9447i	1.24170	−	0.747107i	0.976173	+	0.216996i	$0.0696258\pi$
$644$	0.786553	−	0.363898i	0.0309945	−	0.0143396i
$645$	0.869699	−	2.18278i	0.0342444	−	0.0859469i
$646$	−0.906584	+	16.7210i	−0.0356691	+	0.657877i
$647$	−26.5756	−	39.1960i	−1.04479	−	1.54095i	−0.824777	−	0.565459i	$-0.808699\pi$
$647$	−26.5756	−	39.1960i	−1.04479	−	1.54095i	−0.220017	−	0.975496i	$-0.570611\pi$
$648$	−1.00000			−0.0392837
$649$	6.53863	+	30.9374i	0.256664	+	1.21440i
$650$	−42.1340			−1.65263
$651$	2.80912	+	4.14314i	0.110098	+	0.162382i
$652$	−1.11458	+	20.5572i	−0.0436502	+	0.805080i
$653$	4.88560	−	12.2619i	0.191188	−	0.479846i	−0.801866	−	0.597504i	$-0.796159\pi$
$653$	4.88560	−	12.2619i	0.191188	−	0.479846i	0.993054	+	0.117658i	$0.0375385\pi$
$654$	−8.47569	+	3.92127i	−0.331426	+	0.153334i
$655$	−42.5074	+	25.5758i	−1.66090	+	0.999330i
$656$	−1.66904	+	6.01135i	−0.0651652	+	0.234704i
$657$	6.56532	−	1.44514i	0.256138	−	0.0563802i
$658$	0.540938	+	0.0588305i	0.0210879	+	0.00229345i
$659$	14.1890	+	8.53723i	0.552724	+	0.332563i	0.764364	−	0.644784i	$-0.223053\pi$
$659$	14.1890	+	8.53723i	0.552724	+	0.332563i	−0.211640	+	0.977348i	$0.567880\pi$
$660$	10.9370	−	10.3601i	0.425721	−	0.403264i
$661$	38.6982	+	17.9037i	1.50519	+	0.696373i	0.987269	−	0.159057i	$-0.0508455\pi$
$661$	38.6982	+	17.9037i	1.50519	+	0.696373i	0.517917	+	0.855431i	$0.326708\pi$
$662$	21.4990	−	2.33816i	0.835584	−	0.0908752i
$663$	−13.1328	+	4.42496i	−0.510036	+	0.171851i
$664$	0.770209	+	1.93308i	0.0298899	+	0.0750180i
$665$	8.93591	+	8.46454i	0.346520	+	0.328241i
$666$	1.79426	+	6.46233i	0.0695260	+	0.250410i
$667$	−7.44087	−	14.0350i	−0.288112	−	0.543436i
$668$	−2.25250	+	1.71230i	−0.0871517	+	0.0662510i
$669$	−0.615889	−	11.3594i	−0.0238117	−	0.439180i
$670$	−41.2550	−	13.9004i	−1.59382	−	0.537020i
$671$	−46.7958	−	10.3005i	−1.80653	−	0.397648i
$672$	0.259678	−	0.489804i	0.0100173	−	0.0188946i
$673$	−5.78644	−	35.2957i	−0.223051	−	1.36055i	−0.826405	−	0.563077i	$-0.809618\pi$
$673$	−5.78644	−	35.2957i	−0.223051	−	1.36055i	0.603354	−	0.797474i	$-0.293831\pi$
$674$	13.8017	−	16.2486i	0.531620	−	0.625872i
$675$	5.43260	+	6.39575i	0.209101	+	0.246172i
$676$	−1.97541	+	12.0495i	−0.0759772	+	0.463441i
$677$	−12.8780	−	9.78962i	−0.494943	−	0.376246i	0.327720	−	0.944775i	$-0.393720\pi$
$677$	−12.8780	−	9.78962i	−0.494943	−	0.376246i	−0.822663	+	0.568529i	$0.807513\pi$
$678$	1.33280	−	1.96573i	0.0511859	−	0.0754935i
$679$	−5.23914	+	7.72715i	−0.201060	+	0.296541i
$680$	−8.04080	−	6.11246i	−0.308351	−	0.234402i
$681$	0.715706	−	4.36561i	0.0274259	−	0.167291i
$682$	24.0638	+	28.3301i	0.921449	+	1.08481i
$683$	31.0650	−	36.5725i	1.18867	−	1.39941i	0.292167	−	0.956367i	$-0.405624\pi$
$683$	31.0650	−	36.5725i	1.18867	−	1.39941i	0.896501	−	0.443041i	$-0.146101\pi$
$684$	−0.981543	−	5.98715i	−0.0375302	−	0.228924i
$685$	23.9438	−	45.1628i	0.914847	−	1.72558i
$686$	−7.41350	−	1.63184i	−0.283049	−	0.0623038i
$687$	12.0323	+	4.05416i	0.459062	+	0.154676i
$688$	−0.0347615	−	0.641139i	−0.00132527	−	0.0244432i
$689$	35.6665	−	27.1130i	1.35878	−	1.03292i
$690$	2.67964	+	5.05433i	0.102012	+	0.192415i
$691$	0.279373	+	1.00621i	0.0106279	+	0.0382781i	0.968674	−	0.248337i	$-0.0798839\pi$
$691$	0.279373	+	1.00621i	0.0106279	+	0.0382781i	−0.958046	+	0.286615i	$0.907470\pi$
$692$	−10.0478	−	9.51779i	−0.381960	−	0.361812i
$693$	−0.844736	−	2.12013i	−0.0320888	−	0.0805369i
$694$	−16.7443	+	5.64180i	−0.635603	+	0.214160i
$695$	−10.0284	+	1.09065i	−0.380399	+	0.0413708i
$696$	−9.22245	−	4.26676i	−0.349576	−	0.161731i
$697$	12.5012	−	11.8418i	0.473516	−	0.448538i
$698$	5.39298	+	3.24485i	0.204127	+	0.122819i
$699$	−18.4888	−	2.01077i	−0.699309	−	0.0760544i
$700$	−4.54339	+	1.00007i	−0.171724	+	0.0377993i
$701$	−3.34526	+	12.0486i	−0.126349	+	0.455068i	−0.999474	−	0.0324285i	$-0.989676\pi$
$701$	−3.34526	+	12.0486i	−0.126349	+	0.455068i	0.873125	+	0.487496i	$0.162090\pi$
$702$	4.30227	−	2.58859i	0.162379	−	0.0977000i
$703$	−36.9297	+	17.0855i	−1.39283	+	0.644393i
$704$	1.52374	−	3.82430i	0.0574281	−	0.144134i
$705$	−0.194454	+	3.58649i	−0.00732355	+	0.135075i
$706$	−7.28942	−	10.7511i	−0.274341	−	0.404623i
$707$	−5.90422			−0.222051
$708$	−6.39348	+	4.25715i	−0.240282	+	0.159994i
$709$	−9.24256			−0.347111			−0.173556	−	0.984824i	$-0.555526\pi$
$709$	−9.24256			−0.347111			−0.173556	+	0.984824i	$0.555526\pi$
$710$	7.19907	+	10.6178i	0.270176	+	0.398480i
$711$	−0.699490	+	12.9013i	−0.0262329	+	0.483838i
$712$	0.315372	−	0.791524i	0.0118191	−	0.0296636i
$713$	−12.8106	+	5.92684i	−0.479762	+	0.221962i
$714$	−1.31111	+	0.788866i	−0.0490669	+	0.0295226i
$715$	−20.2359	+	72.8830i	−0.756779	+	2.72567i
$716$	−0.505836	+	0.111343i	−0.0189040	+	0.00416108i
$717$	5.37000	+	0.584022i	0.200546	+	0.0218107i
$718$	2.03647	+	1.22531i	0.0760006	+	0.0457280i
$719$	−0.805008	+	0.762544i	−0.0300217	+	0.0284381i	−0.702563	−	0.711621i	$-0.747961\pi$
$719$	−0.805008	+	0.762544i	−0.0300217	+	0.0284381i	0.672542	+	0.740059i	$0.265203\pi$
$720$	3.32123	+	1.53656i	0.123775	+	0.0572644i
$721$	−0.0398344	+	0.00433226i	−0.00148351	+	0.000161342i
$722$	16.8771	−	5.68655i	0.628100	−	0.211632i
$723$	−6.72434	−	16.8768i	−0.250081	−	0.627656i
$724$	5.24119	+	4.96472i	0.194787	+	0.184512i
$725$	22.8127	+	82.1641i	0.847244	+	3.05150i
$726$	−2.78565	−	5.25430i	−0.103385	−	0.195005i
$727$	−10.2657	+	7.80375i	−0.380732	+	0.289425i	−0.777983	−	0.628285i	$-0.783757\pi$
$727$	−10.2657	+	7.80375i	−0.380732	+	0.289425i	0.397251	+	0.917710i	$0.369964\pi$
$728$	0.150698	+	2.77947i	0.00558525	+	0.103014i
$729$	−0.947653	−	0.319302i	−0.0350983	−	0.0118260i
$730$	−24.0255	−	5.28841i	−0.889223	−	0.195733i
$731$	−0.830106	+	1.56575i	−0.0307026	+	0.0579112i
$732$	−1.88306	−	11.4861i	−0.0695999	−	0.424540i
$733$	−12.2286	+	14.3967i	−0.451675	+	0.531753i	−0.940121	−	0.340841i	$-0.889288\pi$
$733$	−12.2286	+	14.3967i	−0.451675	+	0.531753i	0.488446	+	0.872594i	$0.337564\pi$
$734$	13.6424	+	16.0611i	0.503550	+	0.592825i
$735$	3.96228	−	24.1688i	0.146151	−	0.891481i
$736$	1.24451	+	0.946054i	0.0458733	+	0.0348720i
$737$	−27.4831	+	40.5346i	−1.01235	+	1.49311i
$738$	−3.50111	+	5.16375i	−0.128878	+	0.190080i
$739$	−26.0487	−	19.8017i	−0.958217	−	0.728418i	0.00420072	−	0.999991i	$-0.498663\pi$
$739$	−26.0487	−	19.8017i	−0.958217	−	0.728418i	−0.962418	+	0.271574i	$0.912456\pi$
$740$	3.97064	−	24.2198i	0.145964	−	0.890339i
$741$	19.7211	+	23.2175i	0.724474	+	0.852916i
$742$	3.20244	−	3.77020i	0.117565	−	0.138408i
$743$	5.99306	+	36.5560i	0.219864	+	1.34111i	0.833936	+	0.551861i	$0.186082\pi$
$743$	5.99306	+	36.5560i	0.219864	+	1.34111i	−0.614072	+	0.789250i	$0.710470\pi$
$744$	−4.22939	+	7.97747i	−0.155057	+	0.292468i
$745$	42.4667	+	9.34763i	1.55586	+	0.342471i
$746$	−26.7161	−	9.00172i	−0.978148	−	0.329576i
$747$	0.112656	+	2.07782i	0.00412187	+	0.0760234i
$748$	−9.04546	+	6.87618i	−0.330735	+	0.251418i
$749$	0.0571138	+	0.107728i	0.00208689	+	0.00393630i
$750$	−3.32039	−	11.9589i	−0.121243	−	0.436679i
$751$	−9.76074	−	9.24586i	−0.356174	−	0.337386i	0.488601	−	0.872507i	$-0.337507\pi$
$751$	−9.76074	−	9.24586i	−0.356174	−	0.337386i	−0.844775	+	0.535121i	$0.820266\pi$
$752$	0.363291	+	0.911792i	0.0132479	+	0.0332496i
$753$	10.3168	−	3.47612i	0.375963	−	0.126677i
$754$	50.7224	−	5.51639i	1.84720	−	0.200895i
$755$	−18.1694	−	8.40605i	−0.661251	−	0.305927i
$756$	0.402479	−	0.381249i	0.0146380	−	0.0138659i
$757$	−29.8592	−	17.9657i	−1.08525	−	0.652974i	−0.143624	−	0.989632i	$-0.545876\pi$
$757$	−29.8592	−	17.9657i	−1.08525	−	0.652974i	−0.941627	+	0.336659i	$0.890703\pi$
$758$	25.1948	+	2.74009i	0.915115	+	0.0995247i
$759$	6.28505	−	1.38344i	0.228133	−	0.0502158i
$760$	−5.93970	+	21.3929i	−0.215456	+	0.776001i
$761$	24.0644	−	14.4791i	0.872334	−	0.524866i	−0.00759527	−	0.999971i	$-0.502418\pi$
$761$	24.0644	−	14.4791i	0.872334	−	0.524866i	0.879929	+	0.475105i	$0.157590\pi$
$762$	−1.27991	+	0.592151i	−0.0463663	+	0.0214514i
$763$	1.91631	−	4.80958i	0.0693751	−	0.174118i
$764$	−1.02023	+	18.8170i	−0.0369106	+	0.680775i
$765$	−5.66817	−	8.35993i	−0.204933	−	0.302254i
$766$	−34.2744			−1.23839
$767$	16.4865	−	34.8655i	0.595292	−	1.25892i
$768$	1.00000			0.0360844
$769$	−27.3554	−	40.3463i	−0.986463	−	1.45492i	−0.888033	−	0.459780i	$-0.847928\pi$
$769$	−27.3554	−	40.3463i	−0.986463	−	1.45492i	−0.0984296	−	0.995144i	$-0.531382\pi$
$770$	−0.452150	+	8.33941i	−0.0162943	+	0.300532i
$771$	0.173053	−	0.434330i	0.00623235	−	0.0156420i
$772$	−10.6505	+	4.92743i	−0.383319	+	0.177342i
$773$	−46.4065	+	27.9219i	−1.66913	+	1.00428i	−0.717726	+	0.696326i	$0.754817\pi$
$773$	−46.4065	+	27.9219i	−1.66913	+	1.00428i	−0.951401	+	0.307955i	$0.900356\pi$
$774$	0.171775	−	0.618676i	0.00617431	−	0.0222379i
$775$	73.9985	−	16.2883i	2.65810	−	0.585093i
$776$	−16.7413	−	1.82073i	−0.600978	−	0.0653603i
$777$	−3.18590	−	1.91689i	−0.114294	−	0.0687682i
$778$	27.2691	−	25.8306i	0.977643	−	0.926073i
$779$	−34.3526	−	15.8932i	−1.23081	−	0.569433i
$780$	−18.2663	+	1.98659i	−0.654040	+	0.0711312i
$781$	13.6757	−	4.60788i	0.489355	−	0.164883i
$782$	−1.59705	−	4.00830i	−0.0571104	−	0.143336i
$783$	−7.37730	−	6.98815i	−0.263643	−	0.249736i
$784$	−1.79048	−	6.44871i	−0.0639456	−	0.230311i
$785$	−15.4672	−	29.1743i	−0.552049	−	1.04127i
$786$	−10.7920	+	8.20389i	−0.384939	+	0.292623i
$787$	1.31787	+	24.3067i	0.0469770	+	0.866440i	0.923149	+	0.384442i	$0.125606\pi$
$787$	1.31787	+	24.3067i	0.0469770	+	0.866440i	−0.876172	+	0.481998i	$0.839911\pi$
$788$	5.44810	+	1.83568i	0.194081	+	0.0653934i
$789$	−15.6757	−	3.45049i	−0.558071	−	0.122841i
$790$	22.1469	−	41.7735i	0.787951	−	1.48623i
$791$	0.213009	+	1.29930i	0.00757372	+	0.0461976i
$792$	2.66508	−	3.13758i	0.0946996	−	0.111489i
$793$	37.8343	+	44.5420i	1.34354	+	1.58173i
$794$	−0.489903	+	2.98828i	−0.0173860	+	0.106050i
$795$	25.9948	+	19.7608i	0.921942	+	0.700842i
$796$	−3.87720	+	5.71844i	−0.137424	+	0.202685i
$797$	−11.8081	+	17.4156i	−0.418264	+	0.616893i	−0.977201	−	0.212317i	$-0.931899\pi$
$797$	−11.8081	+	17.4156i	−0.418264	+	0.616893i	0.558937	+	0.829210i	$0.311209\pi$
$798$	2.67764	+	2.03549i	0.0947875	+	0.0720556i
$799$	0.438269	−	2.67332i	0.0155048	−	0.0945753i
$800$	−5.43260	−	6.39575i	−0.192071	−	0.226124i
$801$	0.551598	−	0.649392i	0.0194898	−	0.0229451i
$802$	1.88738	+	11.5125i	0.0666455	+	0.406520i
$803$	−12.9629	+	24.4506i	−0.457451	+	0.862844i
$804$	−11.6181	−	2.55735i	−0.409741	−	0.0901907i
$805$	−3.00546	−	1.01266i	−0.105928	−	0.0356915i
$806$	−2.45443	−	45.2694i	−0.0864538	−	1.59455i
$807$	−23.5753	+	17.9215i	−0.829891	+	0.630867i
$808$	−4.98859	−	9.40948i	−0.175498	−	0.331024i
$809$	−0.422028	−	1.52001i	−0.0148377	−	0.0534406i	0.955761	−	0.294146i	$-0.0950351\pi$
$809$	−0.422028	−	1.52001i	−0.0148377	−	0.0534406i	−0.970598	+	0.240705i	$0.922621\pi$
$810$	2.65675	+	2.51660i	0.0933485	+	0.0884244i
$811$	6.68802	+	16.7857i	0.234848	+	0.589424i	0.998414	−	0.0563062i	$-0.0179323\pi$
$811$	6.68802	+	16.7857i	0.234848	+	0.589424i	−0.763565	+	0.645730i	$0.776553\pi$
$812$	5.33854	−	1.79877i	0.187346	−	0.0631243i
$813$	−18.6621	+	2.02962i	−0.654508	+	0.0711820i
$814$	−25.0579	−	11.5930i	−0.878279	−	0.406335i
$815$	54.6953	−	51.8102i	1.91589	−	1.81483i
$816$	−2.36498	−	1.42296i	−0.0827909	−	0.0498137i
$817$	3.87271	+	0.421183i	0.135489	+	0.0147353i
$818$	−22.0155	+	4.84597i	−0.769753	+	0.169435i
$819$	−0.744678	+	2.68209i	−0.0260212	+	0.0937197i
$820$	19.5624	−	11.7703i	0.683149	−	0.411037i
$821$	−8.34694	+	3.86171i	−0.291310	+	0.134775i	−0.560102	−	0.828424i	$-0.689238\pi$
$821$	−8.34694	+	3.86171i	−0.291310	+	0.134775i	0.268791	+	0.963198i	$0.413376\pi$
$822$	5.17031	−	12.9765i	0.180335	−	0.452607i
$823$	−1.95802	+	36.1135i	−0.0682522	+	1.25884i	0.741052	+	0.671448i	$0.234327\pi$
$823$	−1.95802	+	36.1135i	−0.0682522	+	1.25884i	−0.809304	+	0.587390i	$0.800156\pi$
$824$	−0.0405611	−	0.0598232i	−0.00141301	−	0.00208404i
$825$	−34.5455			−1.20272
$826$	0.950211	−	4.15092i	0.0330621	−	0.144429i
$827$	2.70597			0.0940958			0.0470479	−	0.998893i	$-0.485019\pi$
$827$	2.70597			0.0940958			0.0470479	+	0.998893i	$0.485019\pi$
$828$	0.877290	+	1.29391i	0.0304879	+	0.0449663i
$829$	0.124303	−	2.29263i	0.00431721	−	0.0796262i	−0.995581	−	0.0939089i	$-0.970064\pi$
$829$	0.124303	−	2.29263i	0.00431721	−	0.0796262i	0.999898	+	0.0142828i	$0.00454650\pi$
$830$	2.81854	−	7.07401i	0.0978331	−	0.245543i
$831$	7.00036	−	3.23871i	0.242840	−	0.112350i
$832$	−4.30227	+	2.58859i	−0.149154	+	0.0897432i
$833$	−4.94183	+	17.7989i	−0.171224	+	0.616694i
$834$	−2.69212	+	0.592581i	−0.0932205	+	0.0205194i
$835$	10.2935	+	1.11948i	0.356221	+	0.0387414i
$836$	21.4010	+	12.8766i	0.740170	+	0.445346i
$837$	−6.55521	+	6.20943i	−0.226581	+	0.214629i
$838$	−31.9067	−	14.7616i	−1.10220	−	0.509931i
$839$	−11.2958	+	1.22850i	−0.389976	+	0.0424124i	−0.301007	−	0.953622i	$-0.597323\pi$
$839$	−11.2958	+	1.22850i	−0.389976	+	0.0424124i	−0.0889690	+	0.996034i	$0.528357\pi$
$840$	−1.92254	+	0.647779i	−0.0663339	+	0.0223505i
$841$	−27.4861	−	68.9848i	−0.947795	−	2.37879i
$842$	3.54104	+	3.35425i	0.122032	+	0.115595i
$843$	6.41159	+	23.0924i	0.220827	+	0.795346i
$844$	9.60604	+	18.1189i	0.330654	+	0.623679i
$845$	35.5718	−	27.0410i	1.22371	−	0.930239i
$846$	0.0531374	+	0.980062i	0.00182690	+	0.0336952i
$847$	3.12436	+	1.05272i	0.107354	+	0.0361719i
$848$	8.71431	+	1.91817i	0.299251	+	0.0658701i
$849$	−12.5446	+	23.6616i	−0.430529	+	0.812064i
$850$	3.74709	+	22.8562i	0.128524	+	0.783962i
$851$	6.78756	−	7.99093i	0.232674	−	0.273926i
$852$	2.26943	+	2.67177i	0.0777492	+	0.0915335i
$853$	6.30082	−	38.4333i	0.215736	−	1.31593i	−0.627597	−	0.778538i	$-0.715961\pi$
$853$	6.30082	−	38.4333i	0.215736	−	1.31593i	0.843333	−	0.537392i	$-0.180590\pi$
$854$	5.13697	+	3.90502i	0.175784	+	0.133627i
$855$	−12.4596	+	18.3765i	−0.426108	+	0.628462i
$856$	−0.123428	+	0.182043i	−0.00421869	+	0.00622210i
$857$	−32.6342	−	24.8079i	−1.11476	−	0.847421i	−0.125287	−	0.992120i	$-0.539985\pi$
$857$	−32.6342	−	24.8079i	−1.11476	−	0.847421i	−0.989476	+	0.144700i	$0.953778\pi$
$858$	−3.34400	+	20.3975i	−0.114162	+	0.696359i
$859$	−9.58192	−	11.2807i	−0.326931	−	0.384893i	0.574000	−	0.818855i	$-0.305391\pi$
$859$	−9.58192	−	11.2807i	−0.326931	−	0.384893i	−0.900931	+	0.433962i	$0.857115\pi$
$860$	−1.52114	+	1.79082i	−0.0518704	+	0.0610666i
$861$	−0.559549	−	3.41310i	−0.0190694	−	0.116318i
$862$	−3.85774	+	7.27646i	−0.131395	+	0.247837i
$863$	40.6265	+	8.94256i	1.38294	+	0.304408i	0.843280	−	0.537474i	$-0.180621\pi$
$863$	40.6265	+	8.94256i	1.38294	+	0.304408i	0.539661	+	0.841882i	$0.318552\pi$
$864$	0.947653	+	0.319302i	0.0322398	+	0.0108629i
$865$	2.74197	+	50.5727i	0.0932298	+	1.71952i
$866$	−0.390023	+	0.296488i	−0.0132535	+	0.0100751i
$867$	−4.39463	−	8.28914i	−0.149249	−	0.281514i
$868$	−1.33916	−	4.82322i	−0.0454540	−	0.163711i
$869$	−38.6147	−	36.5778i	−1.30992	−	1.24082i
$870$	13.7640	+	34.5450i	0.466642	+	1.17118i
$871$	56.6043	−	19.0722i	1.91796	−	0.646237i
$872$	9.28409	−	1.00971i	0.314399	−	0.0341929i
$873$	−15.2836	−	7.07094i	−0.517271	−	0.239315i
$874$	−6.88571	+	6.52249i	−0.232912	+	0.220626i
$875$	5.89572	+	3.54734i	0.199312	+	0.119922i
$876$	−6.68309	−	0.726829i	−0.225801	−	0.0245573i
$877$	−19.4522	+	4.28176i	−0.656856	+	0.144585i	−0.530878	−	0.847448i	$-0.678138\pi$
$877$	−19.4522	+	4.28176i	−0.656856	+	0.144585i	−0.125978	+	0.992033i	$0.540207\pi$
$878$	6.51732	−	23.4733i	0.219949	−	0.792184i
$879$	16.8597	−	10.1442i	0.568664	−	0.342154i
$880$	−13.6724	+	6.32554i	−0.460898	+	0.213234i
$881$	−13.2935	+	33.3643i	−0.447871	+	1.12407i	0.515736	+	0.856748i	$0.327519\pi$
$881$	−13.2935	+	33.3643i	−0.447871	+	1.12407i	−0.963607	+	0.267324i	$0.913861\pi$
$882$	0.362333	−	6.68284i	0.0122004	−	0.225023i
$883$	25.5239	+	37.6450i	0.858949	+	1.26685i	0.962240	+	0.272204i	$0.0877525\pi$
$883$	25.5239	+	37.6450i	0.858949	+	1.26685i	−0.103291	+	0.994651i	$0.532937\pi$
$884$	13.8583			0.466104
$885$	27.6994	+	4.77968i	0.931106	+	0.160667i
$886$	−10.7085			−0.359760
$887$	−13.4636	−	19.8574i	−0.452064	−	0.666745i	0.531551	−	0.847026i	$-0.321609\pi$
$887$	−13.4636	−	19.8574i	−0.452064	−	0.666745i	−0.983615	+	0.180281i	$0.942299\pi$
$888$	0.363098	−	6.69695i	0.0121848	−	0.224735i
$889$	0.289382	−	0.726293i	0.00970555	−	0.0243591i
$890$	−2.82982	+	1.30921i	−0.0948556	+	0.0438849i
$891$	3.52741	−	2.12237i	0.118173	−	0.0711021i
$892$	−3.04343	+	10.9614i	−0.101902	+	0.367016i
$893$	−5.81562	+	1.28011i	−0.194612	+	0.0428374i
$894$	11.8128	+	1.28472i	0.395080	+	0.0429675i
$895$	1.62408	+	0.977179i	0.0542871	+	0.0326635i
$896$	−0.402479	+	0.381249i	−0.0134459	+	0.0127366i
$897$	−7.12373	−	3.29579i	−0.237854	−	0.110043i
$898$	−13.3701	+	1.45408i	−0.446165	+	0.0485233i
$899$	−86.9493	+	29.2966i	−2.89992	+	0.977097i
$900$	−3.10605	−	7.79559i	−0.103535	−	0.259853i
$901$	−17.8797	−	16.9366i	−0.595660	−	0.564239i
$902$	−6.87092	−	24.7468i	−0.228777	−	0.823979i
$903$	0.166734	+	0.314493i	0.00554855	+	0.0104657i
$904$	−1.89069	+	1.43727i	−0.0628835	+	0.0478028i
$905$	−1.43028	−	26.3800i	−0.0475442	−	0.876900i
$906$	−5.18430	−	1.74680i	−0.172237	−	0.0580334i
$907$	−19.3805	−	4.26597i	−0.643519	−	0.141649i	−0.118791	−	0.992919i	$-0.537902\pi$
$907$	−19.3805	−	4.26597i	−0.643519	−	0.141649i	−0.524728	+	0.851270i	$0.675833\pi$
$908$	−2.07219	+	3.90856i	−0.0687680	+	0.129710i
$909$	−1.72299	−	10.5098i	−0.0571480	−	0.348588i
$910$	6.59444	−	7.76358i	0.218604	−	0.257360i
$911$	−13.1931	−	15.5321i	−0.437107	−	0.514602i	0.498864	−	0.866680i	$-0.333751\pi$
$911$	−13.1931	−	15.5321i	−0.437107	−	0.514602i	−0.935970	+	0.352079i	$0.885475\pi$
$912$	−0.981543	+	5.98715i	−0.0325021	+	0.198254i
$913$	−6.81955	−	5.18409i	−0.225694	−	0.171568i
$914$	1.17917	−	1.73915i	0.0390035	−	0.0575258i
$915$	−23.9033	+	35.2547i	−0.790218	+	1.16548i
$916$	−10.1080	−	7.68388i	−0.333977	−	0.253883i
$917$	1.21585	−	7.41635i	0.0401509	−	0.244909i
$918$	−1.78683	−	2.10362i	−0.0589741	−	0.0694297i
$919$	0.485840	−	0.571975i	0.0160264	−	0.0188677i	−0.754090	−	0.656771i	$-0.771922\pi$
$919$	0.485840	−	0.571975i	0.0160264	−	0.0188677i	0.770117	+	0.637903i	$0.220198\pi$
$920$	−0.925511	−	5.64537i	−0.0305132	−	0.186122i
$921$	−10.5741	+	19.9448i	−0.348427	+	0.657203i
$922$	28.8847	+	6.35801i	0.951267	+	0.209390i
$923$	−16.6798	−	5.62008i	−0.549022	−	0.184987i
$924$	0.123557	+	2.27887i	0.00406472	+	0.0749693i
$925$	−44.8046	+	34.0596i	−1.47317	+	1.11987i
$926$	−6.34864	−	11.9748i	−0.208629	−	0.393516i
$927$	−0.0193363	−	0.0696429i	−0.000635086	−	0.00228737i
$928$	7.37730	+	6.98815i	0.242172	+	0.229397i
$929$	−19.8978	−	49.9398i	−0.652827	−	1.63847i	−0.764420	−	0.644718i	$-0.776975\pi$
$929$	−19.8978	−	49.9398i	−0.652827	−	1.63847i	0.111593	−	0.993754i	$-0.464405\pi$
$930$	31.3125	−	10.5504i	1.02678	−	0.345962i
$931$	40.3668	−	4.39016i	1.32297	−	0.143882i
$932$	16.8789	+	7.80900i	0.552886	+	0.255792i
$933$	12.7114	−	12.0409i	0.416153	−	0.394201i
$934$	−0.406381	−	0.244511i	−0.0132972	−	0.00800066i
$935$	41.3361	+	4.49557i	1.35183	+	0.147021i
$936$	−4.90360	+	1.07936i	−0.160279	+	0.0352801i
$937$	−1.63512	+	5.88916i	−0.0534170	+	0.192391i	−0.985445	−	0.169997i	$-0.945624\pi$
$937$	−1.63512	+	5.88916i	−0.0534170	+	0.192391i	0.932028	+	0.362387i	$0.118038\pi$
$938$	5.65105	−	3.40012i	0.184513	−	0.111018i
$939$	−8.34749	+	3.86196i	−0.272410	+	0.126030i
$940$	1.32945	−	3.33666i	0.0433617	−	0.108830i
$941$	0.792513	−	14.6170i	0.0258352	−	0.476502i	−0.956776	−	0.290826i	$-0.906070\pi$
$941$	0.792513	−	14.6170i	0.0258352	−	0.476502i	0.982611	−	0.185676i	$-0.0594474\pi$
$942$	−5.06383	−	7.46859i	−0.164989	−	0.243340i
$943$	9.75289			0.317598
$944$	7.41812	−	1.99286i	0.241439	−	0.0648620i
$945$	−2.02874			−0.0659948
$946$	1.48335	+	2.18778i	0.0482279	+	0.0711309i
$947$	0.399105	−	7.36105i	0.0129692	−	0.239202i	−0.984860	−	0.173350i	$-0.944541\pi$
$947$	0.399105	−	7.36105i	0.0129692	−	0.239202i	0.997829	−	0.0658518i	$-0.0209765\pi$
$948$	4.78229	−	12.0026i	0.155322	−	0.389828i
$949$	30.6339	−	14.1727i	0.994418	−	0.460067i
$950$	43.6246	−	26.2481i	1.41537	−	0.851599i
$951$	0.713198	−	2.56871i	0.0231270	−	0.0832960i
$952$	1.49436	−	0.328933i	0.0484325	−	0.0106608i
$953$	17.2345	+	1.87436i	0.558279	+	0.0607165i	0.382909	−	0.923786i	$-0.374922\pi$
$953$	17.2345	+	1.87436i	0.558279	+	0.0607165i	0.175370	+	0.984503i	$0.443888\pi$
$954$	7.64567	+	4.60025i	0.247538	+	0.148939i
$955$	50.0654	−	47.4245i	1.62008	−	1.53462i
$956$	−4.90242	−	2.26810i	−0.158555	−	0.0733556i
$957$	41.5870	−	4.52286i	1.34432	−	0.146203i
$958$	−31.0262	+	10.4539i	−1.00241	+	0.337752i
$959$	2.86633	+	7.19395i	0.0925587	+	0.232305i
$960$	−2.65675	−	2.51660i	−0.0857461	−	0.0812230i
$961$	13.5176	+	48.6860i	0.436052	+	1.57052i
$962$	15.7735	+	29.7520i	0.508558	+	0.959243i
$963$	−0.175094	+	0.133103i	−0.00564231	+	0.00428918i
$964$	0.983548	+	18.1405i	0.0316779	+	0.584265i
$965$	40.6960	+	13.7121i	1.31005	+	0.441407i
$966$	−0.846391	−	0.186305i	−0.0272322	−	0.00599426i
$967$	26.3380	−	49.6787i	0.846973	−	1.59756i	0.0459360	−	0.998944i	$-0.485373\pi$
$967$	26.3380	−	49.6787i	0.846973	−	1.59756i	0.801037	−	0.598615i	$-0.204282\pi$
$968$	0.962128	+	5.86872i	0.0309240	+	0.188628i
$969$	10.8408	−	12.7628i	0.348257	−	0.410000i
$970$	39.8953	+	46.9684i	1.28096	+	1.50807i
$971$	1.15623	−	7.05268i	0.0371051	−	0.226331i	−0.961764	−	0.273880i	$-0.911693\pi$
$971$	1.15623	−	7.05268i	0.0371051	−	0.226331i	0.998869	+	0.0475491i	$0.0151410\pi$
$972$	0.796093	+	0.605174i	0.0255347	+	0.0194110i
$973$	0.857602	−	1.26487i	0.0274935	−	0.0405498i
$974$	23.4969	−	34.6554i	0.752891	−	1.11043i
$975$	33.5426	+	25.4984i	1.07422	+	0.816603i
$976$	−1.88306	+	11.4861i	−0.0602752	+	0.367663i
$977$	23.5093	+	27.6773i	0.752128	+	0.885474i	0.996447	−	0.0842211i	$-0.0268402\pi$
$977$	23.5093	+	27.6773i	0.752128	+	0.885474i	−0.244319	+	0.969695i	$0.578564\pi$
$978$	13.3280	−	15.6909i	0.426181	−	0.501739i
$979$	0.567462	+	3.46136i	0.0181362	+	0.110626i
$980$	−11.4720	+	21.6385i	−0.366460	+	0.691217i
$981$	9.12049	+	2.00757i	0.291195	+	0.0640969i
$982$	32.3665	+	10.9056i	1.03286	+	0.348010i
$983$	−0.383353	−	7.07053i	−0.0122271	−	0.225515i	−0.998260	−	0.0589648i	$-0.981220\pi$
$983$	−0.383353	−	7.07053i	−0.0122271	−	0.225515i	0.986033	−	0.166550i	$-0.0532627\pi$
$984$	4.96663	−	3.77553i	0.158330	−	0.120360i
$985$	−9.85455	−	18.5877i	−0.313992	−	0.592252i
$986$	−7.50331	−	27.0245i	−0.238954	−	0.860635i
$987$	−0.395034	−	0.374196i	−0.0125741	−	0.0119108i
$988$	−11.2754	−	28.2991i	−0.358718	−	0.900315i
$989$	−0.951205	+	0.320498i	−0.0302466	+	0.0101913i
$990$	−14.9765	+	1.62879i	−0.475984	+	0.0517664i
$991$	−12.8775	−	5.95777i	−0.409068	−	0.189255i	0.204554	−	0.978855i	$-0.434426\pi$
$991$	−12.8775	−	5.95777i	−0.409068	−	0.189255i	−0.613621	+	0.789600i	$0.710288\pi$
$992$	6.55521	−	6.20943i	0.208128	−	0.197149i
$993$	−18.5302	−	11.1493i	−0.588039	−	0.353811i
$994$	−1.93201	−	0.210118i	−0.0612796	−	0.00666455i
$995$	24.6918	−	5.43507i	0.782782	−	0.172303i
$996$	0.556692	−	2.00502i	0.0176395	−	0.0635316i
$997$	−7.06743	+	4.25233i	−0.223828	+	0.134673i	−0.623051	−	0.782181i	$-0.714107\pi$
$997$	−7.06743	+	4.25233i	−0.223828	+	0.134673i	0.399224	+	0.916854i	$0.369280\pi$
$998$	−8.93710	+	4.13474i	−0.282899	+	0.130883i
$999$	2.48244	−	6.23045i	0.0785409	−	0.197123i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	354.2.e.d.7.3	✓	84
59.17	even	29	inner	354.2.e.d.253.3	yes	84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
354.2.e.d.7.3	✓	84	1.1	even	1	trivial
354.2.e.d.253.3	yes	84	59.17	even	29	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:	\( N \)	\(=\)	\( 354 = 2 \cdot 3 \cdot 59 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	354.e (of order \(29\), degree \(28\), minimal)

\(f(q)\)	\(=\)	\(q+(0.561187 + 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(3.32123 - 1.53656i) q^{5} +(0.856857 - 0.515554i) q^{6} +(-0.148313 + 0.534175i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\)	\(q+(0.561187 + 0.827689i) q^{2} +(0.0541389 - 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(3.32123 - 1.53656i) q^{5} +(0.856857 - 0.515554i) q^{6} +(-0.148313 + 0.534175i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(3.13563 + 1.88664i) q^{10} +(2.98869 - 2.83104i) q^{11} +(0.907575 + 0.419889i) q^{12} +(-4.99155 + 0.542864i) q^{13} +(-0.525363 + 0.177015i) q^{14} +(-1.35450 - 3.39955i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(0.738396 + 2.65946i) q^{17} +(-0.468408 - 0.883512i) q^{18} +(4.82995 - 3.67163i) q^{19} +(0.198119 + 3.65408i) q^{20} +(0.525363 + 0.177015i) q^{21} +(4.02044 + 0.884965i) q^{22} +(-0.732251 + 1.38117i) q^{23} +(0.161782 + 0.986827i) q^{24} +(5.43260 - 6.39575i) q^{25} +(-3.25052 - 3.82681i) q^{26} +(-0.161782 + 0.986827i) q^{27} +(-0.441340 - 0.335498i) q^{28} +(-5.70258 + 8.41068i) q^{29} +(2.05364 - 3.02889i) q^{30} +(7.18814 + 5.46428i) q^{31} +(0.161782 - 0.986827i) q^{32} +(-2.66508 - 3.13758i) q^{33} +(-1.78683 + 2.10362i) q^{34} +(0.328213 + 2.00201i) q^{35} +(0.468408 - 0.883512i) q^{36} +(-6.54999 - 1.44176i) q^{37} +(5.74948 + 1.93723i) q^{38} +(0.271831 + 5.01362i) q^{39} +(-2.91326 + 2.21461i) q^{40} +(-2.92229 - 5.51202i) q^{41} +(0.148313 + 0.534175i) q^{42} +(0.466147 + 0.441558i) q^{43} +(1.52374 + 3.82430i) q^{44} +(-3.46789 + 1.16847i) q^{45} +(-1.55411 + 0.169020i) q^{46} +(-0.890786 - 0.412122i) q^{47} +(-0.725995 + 0.687699i) q^{48} +(5.73465 + 3.45043i) q^{49} +(8.34239 + 0.907290i) q^{50} +(2.69554 - 0.593333i) q^{51} +(1.34326 - 4.83797i) q^{52} +(-7.64567 + 4.60025i) q^{53} +(-0.907575 + 0.419889i) q^{54} +(5.57606 - 13.9948i) q^{55} +(0.0300137 - 0.553570i) q^{56} +(-3.40476 - 5.02165i) q^{57} -10.1616 q^{58} +(-4.01504 + 6.54824i) q^{59} +3.65945 q^{60} +(-6.53193 - 9.63387i) q^{61} +(-0.488835 + 9.01603i) q^{62} +(0.205198 - 0.515009i) q^{63} +(0.907575 - 0.419889i) q^{64} +(-15.7439 + 9.47282i) q^{65} +(1.10133 - 3.96663i) q^{66} +(-11.6181 + 2.55735i) q^{67} +(-2.74389 - 0.298416i) q^{68} +(1.33950 + 0.805953i) q^{69} +(-1.47285 + 1.39516i) q^{70} +(3.18152 + 1.47193i) q^{71} +(0.994138 - 0.108119i) q^{72} +(-6.37059 + 2.14650i) q^{73} +(-2.48244 - 6.23045i) q^{74} +(-6.09225 - 5.77089i) q^{75} +(1.62311 + 5.84593i) q^{76} +(1.06901 + 2.01637i) q^{77} +(-3.99717 + 3.03857i) q^{78} +(-0.699490 - 12.9013i) q^{79} +(-3.46789 - 1.16847i) q^{80} +(0.976621 + 0.214970i) q^{81} +(2.92229 - 5.51202i) q^{82} +(-0.336647 - 2.05346i) q^{83} +(-0.358900 + 0.422529i) q^{84} +(6.53881 + 7.69809i) q^{85} +(-0.103877 + 0.633622i) q^{86} +(8.08961 + 6.14956i) q^{87} +(-2.31023 + 3.40733i) q^{88} +(-0.478153 + 0.705223i) q^{89} +(-2.91326 - 2.21461i) q^{90} +(0.450328 - 2.74688i) q^{91} +(-1.01204 - 1.19147i) q^{92} +(5.84543 - 6.88177i) q^{93} +(-0.158789 - 0.968571i) q^{94} +(10.3997 - 19.6159i) q^{95} +(-0.976621 - 0.214970i) q^{96} +(15.9585 + 5.37704i) q^{97} +(0.362333 + 6.68284i) q^{98} +(-3.27726 + 2.49131i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9}+O(q^{10}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9	\( 84 q + 3 q^{2} - 3 q^{3} - 3 q^{4} - 2 q^{5} + 3 q^{6} - 7 q^{7} + 3 q^{8} - 3 q^{9} + 2 q^{10} + 30 q^{11} - 3 q^{12} - 3 q^{13} + 7 q^{14} - 2 q^{15} - 3 q^{16} + 3 q^{17} + 3 q^{18} - 4 q^{19} - 2 q^{20} - 7 q^{21} - q^{22} + 2 q^{23} + 3 q^{24} - 67 q^{25} + 32 q^{26} - 3 q^{27} - 7 q^{28} + 4 q^{29} + 2 q^{30} - 6 q^{31} + 3 q^{32} + q^{33} + 26 q^{34} + 79 q^{35} - 3 q^{36} + 55 q^{37} + 4 q^{38} - 3 q^{39} + 2 q^{40} + q^{41} + 7 q^{42} + 51 q^{43} + q^{44} - 2 q^{45} - 31 q^{46} - 62 q^{47} - 3 q^{48} - 70 q^{49} + 9 q^{50} + 3 q^{51} - 32 q^{52} - 27 q^{53} + 3 q^{54} - 83 q^{55} + 7 q^{56} - 4 q^{57} - 120 q^{58} - 55 q^{59} + 56 q^{60} - 46 q^{61} - 23 q^{62} - 7 q^{63} - 3 q^{64} - 121 q^{65} - q^{66} + 8 q^{67} - 26 q^{68} - 27 q^{69} - 50 q^{70} - 61 q^{71} + 3 q^{72} + 49 q^{73} - 26 q^{74} - 9 q^{75} + 25 q^{76} + 77 q^{77} + 3 q^{78} - 5 q^{79} - 2 q^{80} - 3 q^{81} - q^{82} + 75 q^{83} - 7 q^{84} + 189 q^{85} + 65 q^{86} - 25 q^{87} - 30 q^{88} + 54 q^{89} + 2 q^{90} - 161 q^{91} + 2 q^{92} + 23 q^{93} + 33 q^{94} - 54 q^{95} + 3 q^{96} + 28 q^{97} + 12 q^{98} + q^{99}+O(q^{100}) \) 84 * q + 3 * q^2 - 3 * q^3 - 3 * q^4 - 2 * q^5 + 3 * q^6 - 7 * q^7 + 3 * q^8 - 3 * q^9 + 2 * q^10 + 30 * q^11 - 3 * q^12 - 3 * q^13 + 7 * q^14 - 2 * q^15 - 3 * q^16 + 3 * q^17 + 3 * q^18 - 4 * q^19 - 2 * q^20 - 7 * q^21 - q^22 + 2 * q^23 + 3 * q^24 - 67 * q^25 + 32 * q^26 - 3 * q^27 - 7 * q^28 + 4 * q^29 + 2 * q^30 - 6 * q^31 + 3 * q^32 + q^33 + 26 * q^34 + 79 * q^35 - 3 * q^36 + 55 * q^37 + 4 * q^38 - 3 * q^39 + 2 * q^40 + q^41 + 7 * q^42 + 51 * q^43 + q^44 - 2 * q^45 - 31 * q^46 - 62 * q^47 - 3 * q^48 - 70 * q^49 + 9 * q^50 + 3 * q^51 - 32 * q^52 - 27 * q^53 + 3 * q^54 - 83 * q^55 + 7 * q^56 - 4 * q^57 - 120 * q^58 - 55 * q^59 + 56 * q^60 - 46 * q^61 - 23 * q^62 - 7 * q^63 - 3 * q^64 - 121 * q^65 - q^66 + 8 * q^67 - 26 * q^68 - 27 * q^69 - 50 * q^70 - 61 * q^71 + 3 * q^72 + 49 * q^73 - 26 * q^74 - 9 * q^75 + 25 * q^76 + 77 * q^77 + 3 * q^78 - 5 * q^79 - 2 * q^80 - 3 * q^81 - q^82 + 75 * q^83 - 7 * q^84 + 189 * q^85 + 65 * q^86 - 25 * q^87 - 30 * q^88 + 54 * q^89 + 2 * q^90 - 161 * q^91 + 2 * q^92 + 23 * q^93 + 33 * q^94 - 54 * q^95 + 3 * q^96 + 28 * q^97 + 12 * q^98 + q^99

Introduction

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