LMFDB - Embedded newform 403.2.bi.b.14.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [403,2,Mod(14,403)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(403, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([0, 22]))

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

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

chi := DirichletCharacter("403.14");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 403 = 13 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	403.bi (of order $15$, degree $8$, 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:	$3.21797120146$
Analytic rank:	$0$
Dimension:	$136$
Relative dimension:	$17$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			14.16
Character	$\chi$	$=$	403.14
Dual form			403.2.bi.b.144.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.798897 - 2.45875i) q^{2} +(-0.340489 + 0.378151i) q^{3} +(-3.78920 - 2.75301i) q^{4} +(-1.48464 + 2.57146i) q^{5} +(0.657765 + 1.13928i) q^{6} +(-0.327920 + 3.11995i) q^{7} +(-5.61307 + 4.07814i) q^{8} +(0.286520 + 2.72605i) q^{9} +O(q^{10})$	\(q+(0.798897 - 2.45875i) q^{2} +(-0.340489 + 0.378151i) q^{3} +(-3.78920 - 2.75301i) q^{4} +(-1.48464 + 2.57146i) q^{5} +(0.657765 + 1.13928i) q^{6} +(-0.327920 + 3.11995i) q^{7} +(-5.61307 + 4.07814i) q^{8} +(0.286520 + 2.72605i) q^{9} +(5.13652 + 5.70469i) q^{10} +(-0.329128 + 0.146537i) q^{11} +(2.33123 - 0.495519i) q^{12} +(-0.978148 - 0.207912i) q^{13} +(7.40922 + 3.29880i) q^{14} +(-0.466901 - 1.43697i) q^{15} +(2.64817 + 8.15024i) q^{16} +(-5.45429 - 2.42841i) q^{17} +(6.93159 + 1.47336i) q^{18} +(-0.305144 + 0.0648604i) q^{19} +(12.7048 - 5.65656i) q^{20} +(-1.06816 - 1.18631i) q^{21} +(0.0973595 + 0.926313i) q^{22} +(-2.98885 + 2.17153i) q^{23} +(0.369037 - 3.51115i) q^{24} +(-1.90829 - 3.30525i) q^{25} +(-1.29264 + 2.23892i) q^{26} +(-2.36343 - 1.71713i) q^{27} +(9.83183 - 10.9193i) q^{28} +(1.42150 - 4.37493i) q^{29} -3.90617 q^{30} +(4.52981 + 3.23741i) q^{31} +8.27876 q^{32} +(0.0566513 - 0.174355i) q^{33} +(-10.3283 + 11.4707i) q^{34} +(-7.53601 - 5.47523i) q^{35} +(6.41918 - 11.1183i) q^{36} +(-0.657170 - 1.13825i) q^{37} +(-0.0843032 + 0.802091i) q^{38} +(0.411671 - 0.299096i) q^{39} +(-2.15341 - 20.4884i) q^{40} +(8.00223 + 8.88738i) q^{41} +(-3.77020 + 1.67860i) q^{42} +(-4.05576 + 0.862079i) q^{43} +(1.65055 + 0.350835i) q^{44} +(-7.43533 - 3.31042i) q^{45} +(2.95147 + 9.08368i) q^{46} +(0.561743 + 1.72887i) q^{47} +(-3.98370 - 1.77366i) q^{48} +(-2.77955 - 0.590812i) q^{49} +(-9.65131 + 2.05145i) q^{50} +(2.77543 - 1.23570i) q^{51} +(3.13401 + 3.48067i) q^{52} +(1.23690 + 11.7683i) q^{53} +(-6.11014 + 4.43928i) q^{54} +(0.111820 - 1.06390i) q^{55} +(-10.8830 - 18.8498i) q^{56} +(0.0793712 - 0.137475i) q^{57} +(-9.62125 - 6.99025i) q^{58} +(1.11464 - 1.23794i) q^{59} +(-2.18682 + 6.73035i) q^{60} +12.8282 q^{61} +(11.5788 - 8.55132i) q^{62} -8.59912 q^{63} +(1.31753 - 4.05495i) q^{64} +(1.98683 - 2.20660i) q^{65} +(-0.383436 - 0.278583i) q^{66} +(5.66266 - 9.80802i) q^{67} +(13.9819 + 24.2174i) q^{68} +(0.196505 - 1.86962i) q^{69} +(-19.4827 + 14.1550i) q^{70} +(-0.908400 - 8.64285i) q^{71} +(-12.7255 - 14.1331i) q^{72} +(-1.78618 + 0.795260i) q^{73} +(-3.32369 + 0.706472i) q^{74} +(1.89963 + 0.403780i) q^{75} +(1.33481 + 0.594297i) q^{76} +(-0.349262 - 1.07492i) q^{77} +(-0.406521 - 1.25114i) q^{78} +(-10.1907 - 4.53720i) q^{79} +(-24.8896 - 5.29045i) q^{80} +(-6.58945 + 1.40063i) q^{81} +(28.2448 - 12.5754i) q^{82} +(0.0598278 + 0.0664455i) q^{83} +(0.781538 + 7.43584i) q^{84} +(14.3422 - 10.4202i) q^{85} +(-1.12050 + 10.6608i) q^{86} +(1.17038 + 2.02716i) q^{87} +(1.24982 - 2.16475i) q^{88} +(-5.97424 - 4.34054i) q^{89} +(-14.0796 + 15.6369i) q^{90} +(0.969430 - 2.98360i) q^{91} +17.3036 q^{92} +(-2.76658 + 0.610650i) q^{93} +4.69964 q^{94} +(0.286242 - 0.880961i) q^{95} +(-2.81883 + 3.13062i) q^{96} +(6.83822 + 4.96826i) q^{97} +(-3.67324 + 6.36223i) q^{98} +(-0.493770 - 0.855235i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 136 q - 6 q^{2} + 2 q^{3} - 34 q^{4} - 15 q^{5} - 10 q^{6} - 8 q^{7} - 6 q^{8} + 23 q^{9}+O(q^{10}) $ 136 * q - 6 * q^2 + 2 * q^3 - 34 * q^4 - 15 * q^5 - 10 * q^6 - 8 * q^7 - 6 * q^8 + 23 * q^9	\( 136 q - 6 q^{2} + 2 q^{3} - 34 q^{4} - 15 q^{5} - 10 q^{6} - 8 q^{7} - 6 q^{8} + 23 q^{9} + 7 q^{10} + 5 q^{11} + 28 q^{12} + 17 q^{13} - 3 q^{14} + 17 q^{15} - 78 q^{16} - 12 q^{17} + 34 q^{18} - 23 q^{19} + 8 q^{20} - 38 q^{21} + 8 q^{22} + 9 q^{23} + 46 q^{24} - 69 q^{25} - 12 q^{26} - 58 q^{27} + 7 q^{28} + 18 q^{29} + 60 q^{30} + 14 q^{31} + 212 q^{32} - 41 q^{33} - 30 q^{35} - 106 q^{36} + 6 q^{37} - 62 q^{38} + 6 q^{39} + 39 q^{40} - 5 q^{41} + 37 q^{42} + q^{43} - 88 q^{44} - 168 q^{45} + 6 q^{46} - 81 q^{47} - 101 q^{48} + 117 q^{49} - 20 q^{50} + 35 q^{51} + 7 q^{52} + 25 q^{53} + 57 q^{54} + 19 q^{55} - 63 q^{56} - 20 q^{57} - 44 q^{58} + 9 q^{59} + 113 q^{60} + 8 q^{61} + 57 q^{62} + 112 q^{63} - 146 q^{64} - 5 q^{65} + 70 q^{66} - 99 q^{67} - 56 q^{68} - 65 q^{69} + 169 q^{70} - q^{71} - 43 q^{72} + 50 q^{73} - 26 q^{74} - 18 q^{75} - 94 q^{76} + 114 q^{77} - 17 q^{79} + 217 q^{80} + 54 q^{81} - 25 q^{82} - 53 q^{83} - 22 q^{84} + 2 q^{85} - 54 q^{86} - 28 q^{87} + 70 q^{88} - 101 q^{89} + 165 q^{90} - 4 q^{91} + 64 q^{92} + 61 q^{93} - 90 q^{94} - 33 q^{95} - 217 q^{96} + 73 q^{97} + 33 q^{98} - 15 q^{99}+O(q^{100}) \) 136 * q - 6 * q^2 + 2 * q^3 - 34 * q^4 - 15 * q^5 - 10 * q^6 - 8 * q^7 - 6 * q^8 + 23 * q^9 + 7 * q^10 + 5 * q^11 + 28 * q^12 + 17 * q^13 - 3 * q^14 + 17 * q^15 - 78 * q^16 - 12 * q^17 + 34 * q^18 - 23 * q^19 + 8 * q^20 - 38 * q^21 + 8 * q^22 + 9 * q^23 + 46 * q^24 - 69 * q^25 - 12 * q^26 - 58 * q^27 + 7 * q^28 + 18 * q^29 + 60 * q^30 + 14 * q^31 + 212 * q^32 - 41 * q^33 - 30 * q^35 - 106 * q^36 + 6 * q^37 - 62 * q^38 + 6 * q^39 + 39 * q^40 - 5 * q^41 + 37 * q^42 + q^43 - 88 * q^44 - 168 * q^45 + 6 * q^46 - 81 * q^47 - 101 * q^48 + 117 * q^49 - 20 * q^50 + 35 * q^51 + 7 * q^52 + 25 * q^53 + 57 * q^54 + 19 * q^55 - 63 * q^56 - 20 * q^57 - 44 * q^58 + 9 * q^59 + 113 * q^60 + 8 * q^61 + 57 * q^62 + 112 * q^63 - 146 * q^64 - 5 * q^65 + 70 * q^66 - 99 * q^67 - 56 * q^68 - 65 * q^69 + 169 * q^70 - q^71 - 43 * q^72 + 50 * q^73 - 26 * q^74 - 18 * q^75 - 94 * q^76 + 114 * q^77 - 17 * q^79 + 217 * q^80 + 54 * q^81 - 25 * q^82 - 53 * q^83 - 22 * q^84 + 2 * q^85 - 54 * q^86 - 28 * q^87 + 70 * q^88 - 101 * q^89 + 165 * q^90 - 4 * q^91 + 64 * q^92 + 61 * q^93 - 90 * q^94 - 33 * q^95 - 217 * q^96 + 73 * q^97 + 33 * q^98 - 15 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/403\mathbb{Z}\right)^\times$.

$n$	$249$	$313$
$\chi(n)$	$1$	$e\left(\frac{11}{15}\right)$

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 $

$2$	0.798897	−	2.45875i	0.564906	−	1.73860i	−0.103326	−	0.994648i	$-0.532948\pi$
$2$	0.798897	−	2.45875i	0.564906	−	1.73860i	0.668232	−	0.743953i	$-0.267052\pi$
$3$	−0.340489	+	0.378151i	−0.196581	+	0.218326i	−0.833374	−	0.552709i	$-0.813594\pi$
$3$	−0.340489	+	0.378151i	−0.196581	+	0.218326i	0.636793	+	0.771035i	$0.280261\pi$
$4$	−3.78920	−	2.75301i	−1.89460	−	1.37651i
$5$	−1.48464	+	2.57146i	−0.663949	+	1.14999i	0.315620	+	0.948886i	$0.397788\pi$
$5$	−1.48464	+	2.57146i	−0.663949	+	1.14999i	−0.979569	+	0.201108i	$0.935546\pi$
$6$	0.657765	+	1.13928i	0.268531	+	0.465110i
$7$	−0.327920	+	3.11995i	−0.123942	+	1.17923i	0.738920	+	0.673793i	$0.235336\pi$
$7$	−0.327920	+	3.11995i	−0.123942	+	1.17923i	−0.862862	+	0.505439i	$0.831331\pi$
$8$	−5.61307	+	4.07814i	−1.98452	+	1.44184i
$9$	0.286520	+	2.72605i	0.0955066	+	0.908684i
$10$	5.13652	+	5.70469i	1.62431	+	1.80398i
$11$	−0.329128	+	0.146537i	−0.0992359	+	0.0441827i	−0.455754	−	0.890106i	$-0.650630\pi$
$11$	−0.329128	+	0.146537i	−0.0992359	+	0.0441827i	0.356518	+	0.934288i	$0.383964\pi$
$12$	2.33123	−	0.495519i	0.672969	−	0.143044i
$13$	−0.978148	−	0.207912i	−0.271289	−	0.0576643i
$13$	−0.978148	−	0.207912i	−0.271289	−	0.0576643i
$14$	7.40922	+	3.29880i	1.98020	+	0.881641i
$15$	−0.466901	−	1.43697i	−0.120553	−	0.371025i
$16$	2.64817	+	8.15024i	0.662043	+	2.03756i
$17$	−5.45429	−	2.42841i	−1.32286	−	0.588975i	−0.380874	−	0.924627i	$-0.624377\pi$
$17$	−5.45429	−	2.42841i	−1.32286	−	0.588975i	−0.941986	+	0.335652i	$0.891043\pi$
$18$	6.93159	+	1.47336i	1.63379	+	0.347273i
$19$	−0.305144	+	0.0648604i	−0.0700049	+	0.0148800i	−0.242781	−	0.970081i	$-0.578060\pi$
$19$	−0.305144	+	0.0648604i	−0.0700049	+	0.0148800i	0.172776	+	0.984961i	$0.444726\pi$
$20$	12.7048	−	5.65656i	2.84089	−	1.26485i
$21$	−1.06816	−	1.18631i	−0.233092	−	0.258875i
$22$	0.0973595	+	0.926313i	0.0207571	+	0.197491i
$23$	−2.98885	+	2.17153i	−0.623219	+	0.452795i	−0.854044	−	0.520200i	$-0.825857\pi$
$23$	−2.98885	+	2.17153i	−0.623219	+	0.452795i	0.230825	+	0.972995i	$0.425857\pi$
$24$	0.369037	−	3.51115i	0.0753293	−	0.716711i
$25$	−1.90829	−	3.30525i	−0.381657	−	0.661050i
$26$	−1.29264	+	2.23892i	−0.253508	+	0.439089i
$27$	−2.36343	−	1.71713i	−0.454842	−	0.330462i
$28$	9.83183	−	10.9193i	1.85804	−	2.06356i
$29$	1.42150	−	4.37493i	0.263966	−	0.812405i	−0.727963	−	0.685616i	$-0.759533\pi$
$29$	1.42150	−	4.37493i	0.263966	−	0.812405i	0.991930	−	0.126789i	$-0.0404671\pi$
$30$	−3.90617			−0.713165
$31$	4.52981	+	3.23741i	0.813578	+	0.581456i
$31$	4.52981	+	3.23741i	0.813578	+	0.581456i
$32$	8.27876			1.46349
$33$	0.0566513	−	0.174355i	0.00986172	−	0.0303512i
$34$	−10.3283	+	11.4707i	−1.77128	+	1.96721i
$35$	−7.53601	−	5.47523i	−1.27382	−	0.925483i
$36$	6.41918	−	11.1183i	1.06986	−	1.85306i
$37$	−0.657170	−	1.13825i	−0.108038	−	0.187127i	0.806937	−	0.590637i	$-0.201123\pi$
$37$	−0.657170	−	1.13825i	−0.108038	−	0.187127i	−0.914975	+	0.403510i	$0.867790\pi$
$38$	−0.0843032	+	0.802091i	−0.0136758	+	0.130116i
$39$	0.411671	−	0.299096i	0.0659200	−	0.0478937i
$40$	−2.15341	−	20.4884i	−0.340485	−	3.23949i
$41$	8.00223	+	8.88738i	1.24974	+	1.38797i	0.890662	+	0.454667i	$0.150242\pi$
$41$	8.00223	+	8.88738i	1.24974	+	1.38797i	0.359077	+	0.933308i	$0.383092\pi$
$42$	−3.77020	+	1.67860i	−0.581755	+	0.259014i
$43$	−4.05576	+	0.862079i	−0.618498	+	0.131466i	−0.506496	−	0.862242i	$-0.669060\pi$
$43$	−4.05576	+	0.862079i	−0.618498	+	0.131466i	−0.112002	+	0.993708i	$0.535726\pi$
$44$	1.65055	+	0.350835i	0.248830	+	0.0528904i
$45$	−7.43533	−	3.31042i	−1.10839	−	0.493488i
$46$	2.95147	+	9.08368i	0.435170	+	1.33932i
$47$	0.561743	+	1.72887i	0.0819387	+	0.252181i	0.983630	−	0.180198i	$-0.0576740\pi$
$47$	0.561743	+	1.72887i	0.0819387	+	0.252181i	−0.901692	+	0.432380i	$0.857674\pi$
$48$	−3.98370	−	1.77366i	−0.574997	−	0.256005i
$49$	−2.77955	−	0.590812i	−0.397079	−	0.0844017i
$50$	−9.65131	+	2.05145i	−1.36490	+	0.290119i
$51$	2.77543	−	1.23570i	0.388638	−	0.173033i
$52$	3.13401	+	3.48067i	0.434609	+	0.482682i
$53$	1.23690	+	11.7683i	0.169902	+	1.61651i	0.664434	+	0.747347i	$0.268673\pi$
$53$	1.23690	+	11.7683i	0.169902	+	1.61651i	−0.494532	+	0.869159i	$0.664661\pi$
$54$	−6.11014	+	4.43928i	−0.831485	+	0.604109i
$55$	0.111820	−	1.06390i	0.0150778	−	0.143456i
$56$	−10.8830	−	18.8498i	−1.45430	−	2.51892i
$57$	0.0793712	−	0.137475i	0.0105130	−	0.0182090i
$58$	−9.62125	−	6.99025i	−1.26333	−	0.917864i
$59$	1.11464	−	1.23794i	0.145114	−	0.161166i	−0.666206	−	0.745768i	$-0.732083\pi$
$59$	1.11464	−	1.23794i	0.145114	−	0.161166i	0.811320	+	0.584602i	$0.198749\pi$
$60$	−2.18682	+	6.73035i	−0.282318	+	0.868885i
$61$	12.8282			1.64248			0.821242	−	0.570580i	$-0.193282\pi$
$61$	12.8282			1.64248			0.821242	+	0.570580i	$0.193282\pi$
$62$	11.5788	−	8.55132i	1.47052	−	1.08602i
$63$	−8.59912			−1.08339
$64$	1.31753	−	4.05495i	0.164692	−	0.506869i
$65$	1.98683	−	2.20660i	0.246436	−	0.273695i
$66$	−0.383436	−	0.278583i	−0.0471978	−	0.0342912i
$67$	5.66266	−	9.80802i	0.691804	−	1.19824i	−0.279442	−	0.960163i	$-0.590149\pi$
$67$	5.66266	−	9.80802i	0.691804	−	1.19824i	0.971246	−	0.238077i	$-0.0765172\pi$
$68$	13.9819	+	24.2174i	1.69556	+	2.93680i
$69$	0.196505	−	1.86962i	0.0236564	−	0.225076i
$70$	−19.4827	+	14.1550i	−2.32863	+	1.69185i
$71$	−0.908400	−	8.64285i	−0.107807	−	1.02572i	−0.905989	−	0.423301i	$-0.860871\pi$
$71$	−0.908400	−	8.64285i	−0.107807	−	1.02572i	0.798182	−	0.602417i	$-0.205795\pi$
$72$	−12.7255	−	14.1331i	−1.49971	−	1.66560i
$73$	−1.78618	+	0.795260i	−0.209057	+	0.0930781i	−0.508594	−	0.861007i	$-0.669834\pi$
$73$	−1.78618	+	0.795260i	−0.209057	+	0.0930781i	0.299537	+	0.954085i	$0.403168\pi$
$74$	−3.32369	+	0.706472i	−0.386371	+	0.0821257i
$75$	1.89963	+	0.403780i	0.219351	+	0.0466245i
$76$	1.33481	+	0.594297i	0.153113	+	0.0681705i
$77$	−0.349262	−	1.07492i	−0.0398021	−	0.122498i
$78$	−0.406521	−	1.25114i	−0.0460295	−	0.141664i
$79$	−10.1907	−	4.53720i	−1.14654	−	0.510474i	−0.256588	−	0.966521i	$-0.582598\pi$
$79$	−10.1907	−	4.53720i	−1.14654	−	0.510474i	−0.889956	+	0.456046i	$0.849265\pi$
$80$	−24.8896	−	5.29045i	−2.78274	−	0.591490i
$81$	−6.58945	+	1.40063i	−0.732161	+	0.155626i
$82$	28.2448	−	12.5754i	3.11912	−	1.38872i
$83$	0.0598278	+	0.0664455i	0.00656695	+	0.00729334i	0.746419	−	0.665476i	$-0.231771\pi$
$83$	0.0598278	+	0.0664455i	0.00656695	+	0.00729334i	−0.739852	+	0.672769i	$0.765105\pi$
$84$	0.781538	+	7.43584i	0.0852728	+	0.811316i
$85$	14.3422	−	10.4202i	1.55563	−	1.13023i
$86$	−1.12050	+	10.6608i	−0.120826	+	1.14959i
$87$	1.17038	+	2.02716i	0.125478	+	0.217334i
$88$	1.24982	−	2.16475i	0.133231	−	0.230764i
$89$	−5.97424	−	4.34054i	−0.633269	−	0.460097i	0.224262	−	0.974529i	$-0.428003\pi$
$89$	−5.97424	−	4.34054i	−0.633269	−	0.460097i	−0.857531	+	0.514432i	$0.828003\pi$
$90$	−14.0796	+	15.6369i	−1.48412	+	1.64828i
$91$	0.969430	−	2.98360i	0.101624	−	0.312766i
$92$	17.3036			1.80402
$93$	−2.76658	+	0.610650i	−0.286881	+	0.0633215i
$94$	4.69964			0.484730
$95$	0.286242	−	0.880961i	0.0293678	−	0.0903847i
$96$	−2.81883	+	3.13062i	−0.287695	+	0.319518i
$97$	6.83822	+	4.96826i	0.694316	+	0.504450i	0.878076	−	0.478521i	$-0.158827\pi$
$97$	6.83822	+	4.96826i	0.694316	+	0.504450i	−0.183760	+	0.982971i	$0.558827\pi$
$98$	−3.67324	+	6.36223i	−0.371053	+	0.642683i
$99$	−0.493770	−	0.855235i	−0.0496258	−	0.0859544i
$100$	−1.86852	+	17.7778i	−0.186852	+	1.77778i
$101$	−14.4777	+	10.5186i	−1.44058	+	1.04664i	−0.452662	+	0.891682i	$0.649525\pi$
$101$	−14.4777	+	10.5186i	−1.44058	+	1.04664i	−0.987920	+	0.154962i	$0.950475\pi$
$102$	−0.821001	−	7.81130i	−0.0812912	−	0.773434i
$103$	12.8295	+	14.2486i	1.26413	+	1.40396i	0.875968	+	0.482369i	$0.160224\pi$
$103$	12.8295	+	14.2486i	1.26413	+	1.40396i	0.388163	+	0.921591i	$0.373110\pi$
$104$	6.33831	−	2.82200i	0.621522	−	0.276719i
$105$	4.63639	−	0.985496i	0.452466	−	0.0961746i
$106$	29.9236	+	6.36046i	2.90644	+	0.617782i
$107$	3.17457	+	1.41341i	0.306897	+	0.136639i	0.554406	−	0.832246i	$-0.312945\pi$
$107$	3.17457	+	1.41341i	0.306897	+	0.136639i	−0.247509	+	0.968886i	$0.579612\pi$
$108$	4.22821	+	13.0131i	0.406860	+	1.25219i
$109$	2.37349	+	7.30486i	0.227339	+	0.699678i	0.998046	+	0.0624880i	$0.0199035\pi$
$109$	2.37349	+	7.30486i	0.227339	+	0.699678i	−0.770706	+	0.637190i	$0.780096\pi$
$110$	−2.52653	−	1.12488i	−0.240895	−	0.107253i
$111$	0.654190	+	0.139052i	0.0620930	+	0.0131983i
$112$	−26.2968	+	5.58955i	−2.48481	+	0.528163i
$113$	−5.21116	+	2.32016i	−0.490225	+	0.218262i	−0.636935	−	0.770917i	$-0.719798\pi$
$113$	−5.21116	+	2.32016i	−0.490225	+	0.218262i	0.146710	+	0.989179i	$0.453131\pi$
$114$	−0.274607	−	0.304982i	−0.0257193	−	0.0285642i
$115$	−1.14665	−	10.9097i	−0.106926	−	1.01733i
$116$	−17.4306	+	12.6641i	−1.61839	+	1.17583i
$117$	0.286520	−	2.72605i	0.0264888	−	0.252024i
$118$	−2.15330	−	3.72962i	−0.198227	−	0.343339i
$119$	9.36509	−	16.2208i	0.858497	−	1.48696i
$120$	8.48092	+	6.16175i	0.774198	+	0.562488i
$121$	−7.27358	+	8.07813i	−0.661235	+	0.734376i
$122$	10.2484	−	31.5414i	0.927849	−	2.85562i
$123$	−6.08544			−0.548706
$124$	−8.25170	−	24.7378i	−0.741024	−	2.22152i
$125$	−3.51392			−0.314294
$126$	−6.86981	+	21.1431i	−0.612011	+	1.88358i
$127$	0.336621	−	0.373855i	0.0298703	−	0.0331743i	−0.728025	−	0.685551i	$-0.759561\pi$
$127$	0.336621	−	0.373855i	0.0298703	−	0.0331743i	0.757895	+	0.652377i	$0.226228\pi$
$128$	4.47776	+	3.25329i	0.395782	+	0.287553i
$129$	1.05495	−	1.82722i	0.0928828	−	0.160878i
$130$	−3.83821	−	6.64797i	−0.336633	−	0.583066i
$131$	1.40539	−	13.3714i	0.122789	−	1.16826i	−0.743506	−	0.668729i	$-0.766839\pi$
$131$	1.40539	−	13.3714i	0.122789	−	1.16826i	0.866296	−	0.499532i	$-0.166495\pi$
$132$	−0.694663	+	0.504702i	−0.0604627	+	0.0439287i
$133$	−0.102298	−	0.973305i	−0.00887040	−	0.0843962i
$134$	−19.5916	−	21.7587i	−1.69246	−	1.87966i
$135$	7.92437	−	3.52816i	0.682022	−	0.303656i
$136$	40.5187	−	8.61252i	3.47445	−	0.738517i
$137$	−21.6958	−	4.61158i	−1.85360	−	0.393994i	−0.860319	−	0.509756i	$-0.829736\pi$
$137$	−21.6958	−	4.61158i	−1.85360	−	0.393994i	−0.993277	+	0.115762i	$0.963069\pi$
$138$	−4.43995	−	1.97679i	−0.377953	−	0.168276i
$139$	5.67685	+	17.4715i	0.481504	+	1.48192i	0.836981	+	0.547232i	$0.184319\pi$
$139$	5.67685	+	17.4715i	0.481504	+	1.48192i	−0.355477	+	0.934685i	$0.615681\pi$
$140$	13.4820	+	41.4934i	1.13944	+	3.50684i
$141$	−0.845041	−	0.376237i	−0.0711653	−	0.0316848i
$142$	−21.9764	−	4.67122i	−1.84421	−	0.392000i
$143$	0.352403	−	0.0749055i	0.0294694	−	0.00626392i
$144$	−21.4592	+	9.55426i	−1.78827	+	0.796189i
$145$	9.13957	+	10.1505i	0.759000	+	0.842955i
$146$	0.528371	+	5.02711i	0.0437283	+	0.416047i
$147$	1.16982	−	0.849926i	0.0964854	−	0.0701008i
$148$	−0.643475	+	6.12225i	−0.0528933	+	0.503246i
$149$	3.97730	+	6.88888i	0.325833	+	0.564359i	0.981681	−	0.190534i	$-0.0610220\pi$
$149$	3.97730	+	6.88888i	0.325833	+	0.564359i	−0.655848	+	0.754893i	$0.727689\pi$
$150$	2.51041	−	4.34815i	0.204974	−	0.355025i
$151$	−9.48951	−	6.89453i	−0.772245	−	0.561069i	0.130396	−	0.991462i	$-0.458375\pi$
$151$	−9.48951	−	6.89453i	−0.772245	−	0.561069i	−0.902642	+	0.430393i	$0.858375\pi$
$152$	1.44829	−	1.60849i	0.117472	−	0.130465i
$153$	5.05720	−	15.5645i	0.408851	−	1.25831i
$154$	−2.92198			−0.235460
$155$	−15.0500	+	6.84186i	−1.20885	+	0.549552i
$156$	−2.38332			−0.190818
$157$	0.589725	−	1.81499i	0.0470651	−	0.144852i	−0.924762	−	0.380545i	$-0.875736\pi$
$157$	0.589725	−	1.81499i	0.0470651	−	0.144852i	0.971827	+	0.235694i	$0.0757363\pi$
$158$	−19.2972	+	21.4317i	−1.53520	+	1.70501i
$159$	−4.87137	−	3.53925i	−0.386324	−	0.280681i
$160$	−12.2909	+	21.2885i	−0.971684	+	1.68301i
$161$	−5.79497	−	10.0372i	−0.456707	−	0.791040i
$162$	−1.82049	+	17.3208i	−0.143031	+	1.36085i
$163$	1.00553	−	0.730562i	0.0787593	−	0.0572220i	−0.547709	−	0.836669i	$-0.684500\pi$
$163$	1.00553	−	0.730562i	0.0787593	−	0.0572220i	0.626468	+	0.779447i	$0.284500\pi$
$164$	−5.85496	−	55.7062i	−0.457196	−	4.34993i
$165$	0.364240	+	0.404530i	0.0283561	+	0.0314926i
$166$	0.211169	−	0.0940186i	0.0163899	−	0.00729726i
$167$	6.82948	−	1.45165i	0.528481	−	0.112332i	0.0640588	−	0.997946i	$-0.479595\pi$
$167$	6.82948	−	1.45165i	0.528481	−	0.112332i	0.464422	+	0.885614i	$0.346262\pi$
$168$	10.8336	+	2.30276i	0.835832	+	0.177662i
$169$	0.913545	+	0.406737i	0.0702727	+	0.0312874i
$170$	−14.1628	−	43.5886i	−1.08624	−	3.34309i
$171$	−0.264243	−	0.813255i	−0.0202071	−	0.0621912i
$172$	17.7414	+	7.89897i	1.35277	+	0.602291i
$173$	12.8402	+	2.72927i	0.976224	+	0.207503i	0.668287	−	0.743904i	$-0.267028\pi$
$173$	12.8402	+	2.72927i	0.976224	+	0.207503i	0.307937	+	0.951407i	$0.400361\pi$
$174$	5.91930	−	1.25819i	0.448741	−	0.0953828i
$175$	10.9380	−	4.86991i	0.826835	−	0.368130i
$176$	−2.06590	−	2.29442i	−0.155723	−	0.172948i
$177$	0.0886037	+	0.843008i	0.00665986	+	0.0633644i
$178$	−15.4451	+	11.2215i	−1.15766	+	0.841090i
$179$	0.399388	−	3.79992i	0.0298516	−	0.284019i	−0.969405	−	0.245467i	$-0.921059\pi$
$179$	0.399388	−	3.79992i	0.0298516	−	0.284019i	0.999257	−	0.0385523i	$-0.0122746\pi$
$180$	19.0603	+	33.0134i	1.42067	+	2.46067i
$181$	3.57823	−	6.19768i	0.265968	−	0.460670i	−0.701849	−	0.712326i	$-0.747642\pi$
$181$	3.57823	−	6.19768i	0.265968	−	0.460670i	0.967817	+	0.251656i	$0.0809752\pi$
$182$	−6.56146	−	4.76718i	−0.486367	−	0.353367i
$183$	−4.36786	+	4.85100i	−0.322882	+	0.358597i
$184$	7.92086	−	24.3779i	0.583934	−	1.79716i
$185$	3.90263			0.286927
$186$	−0.708777	+	7.29019i	−0.0519700	+	0.534542i
$187$	2.15101			0.157298
$188$	2.63104	−	8.09751i	0.191888	−	0.590571i
$189$	6.13239	−	6.81071i	0.446066	−	0.495406i
$190$	−1.93739	−	1.40760i	−0.140553	−	0.102118i
$191$	6.29584	−	10.9047i	0.455551	−	0.789038i	−0.543168	−	0.839624i	$-0.682776\pi$
$191$	6.29584	−	10.9047i	0.455551	−	0.789038i	0.998720	+	0.0505858i	$0.0161088\pi$
$192$	1.08478	+	1.87889i	0.0782872	+	0.135597i
$193$	−1.17192	+	11.1500i	−0.0843563	+	0.802597i	0.867785	+	0.496939i	$0.165543\pi$
$193$	−1.17192	+	11.1500i	−0.0843563	+	0.802597i	−0.952142	+	0.305657i	$0.901124\pi$
$194$	17.6788	−	12.8444i	1.26926	−	0.922172i
$195$	0.157934	+	1.50265i	0.0113099	+	0.107607i
$196$	8.90575	+	9.89084i	0.636125	+	0.706489i
$197$	9.98859	−	4.44721i	0.711658	−	0.316850i	−0.0187859	−	0.999824i	$-0.505980\pi$
$197$	9.98859	−	4.44721i	0.711658	−	0.316850i	0.730443	+	0.682973i	$0.239313\pi$
$198$	−2.49728	+	0.530814i	−0.177474	+	0.0377233i
$199$	17.0463	+	3.62330i	1.20838	+	0.256849i	0.767697	−	0.640813i	$-0.221403\pi$
$199$	17.0463	+	3.62330i	1.20838	+	0.256849i	0.440684	+	0.897662i	$0.354736\pi$
$200$	24.1906	+	10.7704i	1.71053	+	0.761579i
$201$	1.78084	+	5.48087i	0.125611	+	0.386590i
$202$	14.2966	+	44.0003i	1.00590	+	3.09585i
$203$	13.1835	+	5.86965i	0.925297	+	0.411969i
$204$	−13.9186	−	2.95848i	−0.974494	−	0.207135i
$205$	−34.7340	+	7.38293i	−2.42593	+	0.515646i
$206$	45.2833	−	20.1614i	3.15504	−	1.40471i
$207$	−6.77607	−	7.52559i	−0.470969	−	0.523064i
$208$	−0.895774	−	8.52272i	−0.0621108	−	0.590944i
$209$	0.0909271	−	0.0660624i	0.00628956	−	0.00456963i
$210$	1.28091	−	12.1871i	0.0883913	−	0.840987i
$211$	8.20259	+	14.2073i	0.564689	+	0.978070i	0.997079	+	0.0763834i	$0.0243373\pi$
$211$	8.20259	+	14.2073i	0.564689	+	0.978070i	−0.432389	+	0.901687i	$0.642329\pi$
$212$	27.7115	−	47.9978i	1.90323	−	3.29650i
$213$	3.57761	+	2.59928i	0.245134	+	0.178100i
$214$	6.01137	−	6.67630i	0.410929	−	0.456383i
$215$	3.80452	−	11.7091i	0.259466	−	0.798555i
$216$	20.2688			1.37912
$217$	−11.5860	+	13.0712i	−0.786509	+	0.887330i
$218$	19.8570			1.34489
$219$	0.307447	−	0.946225i	0.0207753	−	0.0639399i
$220$	−3.35263	+	3.72347i	−0.226034	+	0.251036i
$221$	4.83021	+	3.50935i	0.324915	+	0.236065i
$222$	0.864526	−	1.49740i	0.0580232	−	0.100499i
$223$	3.45738	+	5.98836i	0.231523	+	0.401010i	0.958257	−	0.285910i	$-0.0922957\pi$
$223$	3.45738	+	5.98836i	0.231523	+	0.401010i	−0.726733	+	0.686920i	$0.758962\pi$
$224$	−2.71478	+	25.8294i	−0.181389	+	1.72580i
$225$	8.46352	−	6.14911i	0.564235	−	0.409941i
$226$	1.54151	+	14.6665i	0.102540	+	0.975603i
$227$	−15.0572	−	16.7227i	−0.999382	−	1.10993i	−0.993938	−	0.109941i	$-0.964934\pi$
$227$	−15.0572	−	16.7227i	−0.999382	−	1.10993i	−0.00544410	−	0.999985i	$-0.501733\pi$
$228$	−0.679223	+	0.302410i	−0.0449826	+	0.0200276i
$229$	26.9488	−	5.72814i	1.78083	−	0.378526i	0.804350	−	0.594156i	$-0.202514\pi$
$229$	26.9488	−	5.72814i	1.78083	−	0.378526i	0.976475	+	0.215630i	$0.0691804\pi$
$230$	−27.7402	−	5.89636i	−1.82914	−	0.388795i
$231$	0.525401	+	0.233924i	0.0345689	+	0.0153911i
$232$	9.86258	+	30.3539i	0.647510	+	1.99283i
$233$	−4.01316	−	12.3512i	−0.262911	−	0.809156i	−0.992167	−	0.124916i	$-0.960134\pi$
$233$	−4.01316	−	12.3512i	−0.262911	−	0.809156i	0.729257	−	0.684240i	$-0.239866\pi$
$234$	−6.47379	−	2.88232i	−0.423205	−	0.188423i
$235$	−5.27971	−	1.12224i	−0.344410	−	0.0732066i
$236$	−7.63166	+	1.62216i	−0.496779	+	0.105594i
$237$	5.18557	−	2.30877i	0.336839	−	0.149970i
$238$	−32.4012	−	35.9852i	−2.10026	−	2.33258i
$239$	−0.727026	−	6.91719i	−0.0470274	−	0.447436i	−0.992546	−	0.121868i	$-0.961111\pi$
$239$	−0.727026	−	6.91719i	−0.0470274	−	0.447436i	0.945519	−	0.325567i	$-0.105555\pi$
$240$	10.4752	−	7.61070i	0.676173	−	0.491269i
$241$	0.238350	−	2.26775i	0.0153535	−	0.146079i	−0.984159	−	0.177285i	$-0.943268\pi$
$241$	0.238350	−	2.26775i	0.0153535	−	0.146079i	0.999513	+	0.0312069i	$0.00993508\pi$
$242$	14.0513	+	24.3375i	0.903251	+	1.56448i
$243$	6.09602	−	10.5586i	0.391060	−	0.677336i
$244$	−48.6086	−	35.3162i	−3.11185	−	2.26089i
$245$	5.64588	−	6.27038i	0.360702	−	0.400600i
$246$	−4.86164	+	14.9626i	−0.309967	+	0.953981i
$247$	0.311961			0.0198496
$248$	−38.6287	+	0.301347i	−2.45293	+	0.0191355i
$249$	−0.0454972			−0.00288327
$250$	−2.80726	+	8.63986i	−0.177547	+	0.546432i
$251$	−11.0647	+	12.2886i	−0.698400	+	0.775651i	−0.983121	−	0.182959i	$-0.941432\pi$
$251$	−11.0647	+	12.2886i	−0.698400	+	0.775651i	0.284721	+	0.958610i	$0.408099\pi$
$252$	32.5837	+	23.6735i	2.05258	+	1.49129i
$253$	0.665506	−	1.15269i	0.0418400	−	0.0724690i
$254$	−0.650293	−	1.12634i	−0.0408030	−	0.0706729i
$255$	−0.942942	+	8.97149i	−0.0590493	+	0.561817i
$256$	18.4750	−	13.4229i	1.15469	−	0.838930i
$257$	2.55286	+	24.2888i	0.159243	+	1.51509i	0.723979	+	0.689822i	$0.242311\pi$
$257$	2.55286	+	24.2888i	0.159243	+	1.51509i	−0.564736	+	0.825271i	$0.691022\pi$
$258$	−3.64989	−	4.05361i	−0.227232	−	0.252367i
$259$	3.76679	−	1.67708i	0.234057	−	0.104209i
$260$	−13.6033	+	2.89147i	−0.843640	+	0.179321i
$261$	12.3336	+	2.62159i	0.763430	+	0.162272i
$262$	−31.7541	−	14.1378i	−1.96177	−	0.873438i
$263$	−5.72341	−	17.6148i	−0.352921	−	1.08618i	−0.957205	−	0.289409i	$-0.906541\pi$
$263$	−5.72341	−	17.6148i	−0.352921	−	1.08618i	0.604285	−	0.796768i	$-0.293459\pi$
$264$	0.393054	+	1.20970i	0.0241908	+	0.0744517i
$265$	−32.0982	−	14.2911i	−1.97178	−	0.877892i
$266$	−2.47484	−	0.526044i	−0.151742	−	0.0322538i
$267$	3.67555	−	0.781261i	0.224940	−	0.0478124i
$268$	−48.4585	+	21.5751i	−2.96008	+	1.31791i
$269$	8.50145	+	9.44182i	0.518343	+	0.575678i	0.944309	−	0.329061i	$-0.106732\pi$
$269$	8.50145	+	9.44182i	0.518343	+	0.575678i	−0.425966	+	0.904739i	$0.640066\pi$
$270$	−2.34411	−	22.3027i	−0.142658	−	1.35730i
$271$	25.3723	−	18.4341i	1.54126	−	1.11979i	0.591720	−	0.806143i	$-0.298449\pi$
$271$	25.3723	−	18.4341i	1.54126	−	1.11979i	0.949540	−	0.313647i	$-0.101551\pi$
$272$	5.34819	−	50.8846i	0.324282	−	3.08533i
$273$	0.798171	+	1.38247i	0.0483075	+	0.0836711i
$274$	−28.6714	+	49.6604i	−1.73211	+	3.00009i
$275$	1.11241	+	0.808216i	0.0670810	+	0.0487372i
$276$	−5.89168	+	6.54338i	−0.354638	+	0.393865i
$277$	−9.43420	+	29.0355i	−0.566846	+	1.74457i	0.0955553	+	0.995424i	$0.469537\pi$
$277$	−9.43420	+	29.0355i	−0.566846	+	1.74457i	−0.662402	+	0.749149i	$0.730463\pi$
$278$	47.4934			2.84847
$279$	−7.52748	+	13.2761i	−0.450658	+	0.794818i
$280$	64.6289			3.86232
$281$	−8.63333	+	26.5706i	−0.515021	+	1.58507i	0.268223	+	0.963357i	$0.413564\pi$
$281$	−8.63333	+	26.5706i	−0.515021	+	1.58507i	−0.783244	+	0.621715i	$0.786436\pi$
$282$	−1.60017	+	1.77717i	−0.0952890	+	0.105829i
$283$	−7.97283	−	5.79260i	−0.473936	−	0.344334i	0.325038	−	0.945701i	$-0.394623\pi$
$283$	−7.97283	−	5.79260i	−0.473936	−	0.344334i	−0.798973	+	0.601367i	$0.794623\pi$
$284$	−20.3518	+	35.2503i	−1.20766	+	2.09172i
$285$	0.235675	+	0.408200i	0.0139602	+	0.0241797i
$286$	0.0973595	−	0.926313i	0.00575699	−	0.0547741i
$287$	−30.3523	+	22.0522i	−1.79164	+	1.30170i
$288$	2.37203	+	22.5683i	0.139773	+	1.32985i
$289$	12.4769	+	13.8570i	0.733936	+	0.815119i
$290$	32.2592	−	14.3627i	1.89433	−	0.843408i
$291$	−4.20709	+	0.894245i	−0.246624	+	0.0524216i
$292$	8.95756	+	1.90399i	0.524201	+	0.111422i
$293$	12.3046	+	5.47837i	0.718843	+	0.320050i	0.733356	−	0.679845i	$-0.237953\pi$
$293$	12.3046	+	5.47837i	0.718843	+	0.320050i	−0.0145124	+	0.999895i	$0.504620\pi$
$294$	−1.15519	−	3.55531i	−0.0673721	−	0.207350i
$295$	1.52847	+	4.70415i	0.0889911	+	0.273886i
$296$	8.33068	+	3.70906i	0.484211	+	0.215585i
$297$	1.02950	+	0.218826i	0.0597374	+	0.0126976i
$298$	20.1155	−	4.27568i	1.16526	−	0.247684i
$299$	3.37503	−	1.50266i	0.195183	−	0.0869010i
$300$	−6.08648	−	6.75972i	−0.351403	−	0.390272i
$301$	−1.35968	−	12.9365i	−0.0783706	−	0.745647i
$302$	−24.5331	+	17.8243i	−1.41172	+	1.02568i
$303$	0.951848	−	9.05623i	0.0546823	−	0.520267i
$304$	−1.33670	−	2.31524i	−0.0766651	−	0.132788i
$305$	−19.0452	+	32.9873i	−1.09053	+	1.88885i
$306$	−34.2290	−	24.8688i	−1.95674	−	1.42166i
$307$	19.1261	−	21.2417i	1.09159	−	1.21233i	0.115877	−	0.993264i	$-0.463032\pi$
$307$	19.1261	−	21.2417i	1.09159	−	1.21233i	0.975710	−	0.219066i	$-0.0703010\pi$
$308$	−1.63584	+	5.03460i	−0.0932106	+	0.286873i
$309$	−9.75645			−0.555025
$310$	4.79905	+	42.4702i	0.272568	+	2.41214i
$311$	−26.9901			−1.53047			−0.765235	−	0.643751i	$-0.777377\pi$
$311$	−26.9901			−1.53047			−0.765235	+	0.643751i	$0.777377\pi$
$312$	−1.09098	+	3.35770i	−0.0617647	+	0.190092i
$313$	−4.27649	+	4.74952i	−0.241722	+	0.268459i	−0.851783	−	0.523895i	$-0.824478\pi$
$313$	−4.27649	+	4.74952i	−0.241722	+	0.268459i	0.610061	+	0.792354i	$0.291145\pi$
$314$	−3.99147	−	2.89997i	−0.225252	−	0.163655i
$315$	12.7666	−	22.1123i	0.719314	−	1.24589i
$316$	26.1236	+	45.2475i	1.46957	+	2.54537i
$317$	1.18832	−	11.3062i	0.0667429	−	0.635017i	−0.909105	−	0.416567i	$-0.863233\pi$
$317$	1.18832	−	11.3062i	0.0667429	−	0.635017i	0.975848	−	0.218450i	$-0.0701001\pi$
$318$	−12.5939	+	9.14999i	−0.706229	+	0.513106i
$319$	0.173235	+	1.64822i	0.00969928	+	0.0922825i
$320$	8.47111	+	9.40812i	0.473549	+	0.525930i
$321$	−1.61539	+	0.719216i	−0.0901621	+	0.0401427i
$322$	−29.3085	+	6.22972i	−1.63330	+	0.347169i
$323$	1.82185	+	0.387247i	0.101371	+	0.0215470i
$324$	28.8247	+	12.8336i	1.60137	+	0.712976i
$325$	1.17939	+	3.62978i	0.0654206	+	0.201344i
$326$	−0.992954	−	3.05600i	−0.0549946	−	0.169256i
$327$	−3.57049	−	1.58968i	−0.197448	−	0.0879097i
$328$	−81.1610	−	17.2513i	−4.48137	−	0.952544i
$329$	−5.57820	+	1.18568i	−0.307536	+	0.0653688i
$330$	1.28563	−	0.572399i	0.0707716	−	0.0315095i
$331$	16.7630	+	18.6171i	0.921375	+	1.02329i	0.999653	+	0.0263591i	$0.00839132\pi$
$331$	16.7630	+	18.6171i	0.921375	+	1.02329i	−0.0782775	+	0.996932i	$0.524942\pi$
$332$	−0.0437740	−	0.416482i	−0.00240241	−	0.0228574i
$333$	2.91464	−	2.11761i	0.159721	−	0.116044i
$334$	1.88680	−	17.9517i	0.103241	−	0.982274i
$335$	16.8140	+	29.1227i	0.918646	+	1.59114i
$336$	6.84006	−	11.8473i	0.373156	−	0.646325i
$337$	−2.27758	−	1.65476i	−0.124067	−	0.0901403i	0.524021	−	0.851705i	$-0.324431\pi$
$337$	−2.27758	−	1.65476i	−0.124067	−	0.0901403i	−0.648088	+	0.761565i	$0.724431\pi$
$338$	1.72989	−	1.92124i	0.0940938	−	0.104502i
$339$	0.896972	−	2.76060i	0.0487168	−	0.149935i
$340$	−83.0324			−4.50306
$341$	−1.96529	−	0.401738i	−0.106426	−	0.0217553i
$342$	−2.21070			−0.119541
$343$	−4.03123	+	12.4068i	−0.217666	+	0.669907i
$344$	19.2496	−	21.3789i	1.03787	−	1.15267i
$345$	4.51592	+	3.28101i	0.243129	+	0.176644i
$346$	16.9686	−	29.3905i	0.912239	−	1.58004i
$347$	−12.9672	−	22.4599i	−0.696117	−	1.20571i	−0.969803	−	0.243891i	$-0.921576\pi$
$347$	−12.9672	−	22.4599i	−0.696117	−	1.20571i	0.273686	−	0.961819i	$-0.411757\pi$
$348$	1.14599	−	10.9034i	0.0614316	−	0.584482i
$349$	17.1783	−	12.4808i	0.919535	−	0.668081i	−0.0238732	−	0.999715i	$-0.507600\pi$
$349$	17.1783	−	12.4808i	0.919535	−	0.668081i	0.943408	+	0.331634i	$0.107600\pi$
$350$	−3.23557	−	30.7844i	−0.172948	−	1.64549i
$351$	1.95477	+	2.17099i	0.104338	+	0.115879i
$352$	−2.72477	+	1.21315i	−0.145231	+	0.0646610i
$353$	−16.4878	+	3.50459i	−0.877556	+	0.186530i	−0.624597	−	0.780947i	$-0.714737\pi$
$353$	−16.4878	+	3.50459i	−0.877556	+	0.186530i	−0.252959	+	0.967477i	$0.581404\pi$
$354$	2.14353	+	0.455622i	0.113928	+	0.0242160i
$355$	23.5734	+	10.4956i	1.25115	+	0.557047i
$356$	10.6880	+	32.8943i	0.566464	+	1.74340i
$357$	2.94521	+	9.06443i	0.155877	+	0.479741i
$358$	−9.02399	−	4.01774i	−0.476933	−	0.212344i
$359$	24.4368	+	5.19419i	1.28972	+	0.274139i	0.801192	−	0.598407i	$-0.204200\pi$
$359$	24.4368	+	5.19419i	1.28972	+	0.274139i	0.488531	+	0.872546i	$0.337533\pi$
$360$	55.2354	−	11.7406i	2.91116	−	0.618786i
$361$	−17.2685	+	7.68841i	−0.908866	+	0.404653i
$362$	−12.3799	−	13.7493i	−0.650674	−	0.722647i
$363$	−0.578182	−	5.50103i	−0.0303467	−	0.288729i
$364$	−11.8872	+	8.63658i	−0.623061	+	0.452680i
$365$	0.606848	−	5.77378i	0.0317639	−	0.302213i
$366$	8.43795	+	14.6150i	0.441059	+	0.763936i
$367$	−4.87298	+	8.44026i	−0.254368	+	0.440578i	−0.964724	−	0.263265i	$-0.915201\pi$
$367$	−4.87298	+	8.44026i	−0.254368	+	0.440578i	0.710356	+	0.703843i	$0.248534\pi$
$368$	−25.6135	−	18.6093i	−1.33519	−	0.970076i
$369$	−21.9347	+	24.3609i	−1.14187	+	1.26818i
$370$	3.11780	−	9.59560i	0.162087	−	0.498852i
$371$	−37.1223			−1.92729
$372$	12.1642	+	5.30256i	0.630687	+	0.274925i
$373$	−12.4140			−0.642771			−0.321386	−	0.946948i	$-0.604149\pi$
$373$	−12.4140			−0.642771			−0.321386	+	0.946948i	$0.604149\pi$
$374$	1.71844	−	5.28881i	0.0888584	−	0.273478i
$375$	1.19645	−	1.32879i	0.0617844	−	0.0686186i
$376$	−10.2037	−	7.41340i	−0.526214	−	0.382317i
$377$	−2.30004	+	3.98378i	−0.118458	+	0.205175i
$378$	−11.8467	−	20.5191i	−0.609329	−	1.05539i
$379$	1.83475	−	17.4565i	0.0942447	−	0.896679i	−0.840608	−	0.541644i	$-0.817802\pi$
$379$	1.83475	−	17.4565i	0.0942447	−	0.896679i	0.934853	−	0.355035i	$-0.115531\pi$
$380$	−3.50992	+	2.55011i	−0.180055	+	0.130818i
$381$	0.0267582	+	0.254587i	0.00137086	+	0.0130429i
$382$	−21.7823	−	24.1917i	−1.11448	−	1.23775i
$383$	−35.0722	+	15.6152i	−1.79211	+	0.797898i	−0.816841	+	0.576862i	$0.804277\pi$
$383$	−35.0722	+	15.6152i	−1.79211	+	0.797898i	−0.975266	+	0.221035i	$0.929056\pi$
$384$	−2.75486	+	0.585564i	−0.140584	+	0.0298820i
$385$	3.28264	+	0.697747i	0.167299	+	0.0355605i
$386$	26.4789	+	11.7892i	1.34774	+	0.600053i
$387$	−3.51213	−	10.8092i	−0.178532	−	0.549464i
$388$	−12.2337	−	37.6514i	−0.621071	−	1.91146i
$389$	11.7207	+	5.21838i	0.594262	+	0.264582i	0.681752	−	0.731583i	$-0.261218\pi$
$389$	11.7207	+	5.21838i	0.594262	+	0.264582i	−0.0874906	+	0.996165i	$0.527885\pi$
$390$	3.82081	+	0.812137i	0.193474	+	0.0411242i
$391$	21.5754	−	4.58600i	1.09112	−	0.231924i
$392$	18.0112	−	8.01912i	0.909705	−	0.405027i
$393$	4.57788	+	5.08425i	0.230923	+	0.256466i
$394$	−2.95473	−	28.1123i	−0.148857	−	1.41628i
$395$	26.7967	−	19.4690i	1.34829	−	0.979590i
$396$	−0.483480	+	4.60001i	−0.0242958	+	0.231159i
$397$	−4.86640	−	8.42885i	−0.244238	−	0.423032i	0.717679	−	0.696374i	$-0.245204\pi$
$397$	−4.86640	−	8.42885i	−0.244238	−	0.423032i	−0.961917	+	0.273342i	$0.911871\pi$
$398$	22.5271	−	39.0180i	1.12918	−	1.95580i
$399$	0.402888	+	0.292715i	0.0201696	+	0.0146541i
$400$	21.8851	−	24.3059i	1.09425	−	1.21529i
$401$	−0.787576	+	2.42391i	−0.0393296	+	0.121044i	−0.968794	−	0.247869i	$-0.920270\pi$
$401$	−0.787576	+	2.42391i	−0.0393296	+	0.121044i	0.929464	+	0.368913i	$0.120270\pi$
$402$	14.8988			0.743085
$403$	−3.75773	−	4.10847i	−0.187186	−	0.204657i
$404$	83.8167			4.17004
$405$	6.18126	−	19.0240i	0.307149	−	0.945309i
$406$	24.9643	−	27.7256i	1.23896	−	1.37600i
$407$	0.383089	+	0.278331i	0.0189890	+	0.0137963i
$408$	−10.5393	+	18.2547i	−0.521775	+	0.903741i
$409$	3.79232	+	6.56849i	0.187518	+	0.324791i	0.944422	−	0.328735i	$-0.106622\pi$
$409$	3.79232	+	6.56849i	0.187518	+	0.324791i	−0.756904	+	0.653526i	$0.773289\pi$
$410$	−9.59606	+	91.3004i	−0.473916	+	4.50901i
$411$	9.13105	−	6.63410i	0.450402	−	0.327236i
$412$	−9.38693	−	89.3107i	−0.462461	−	4.40002i
$413$	3.49679	+	3.88358i	0.172066	+	0.191099i
$414$	−23.9169	+	10.6485i	−1.17545	+	0.523346i
$415$	−0.259685	+	0.0551977i	−0.0127474	+	0.00270955i
$416$	−8.09785	−	1.72125i	−0.397030	−	0.0843913i
$417$	−8.53979	−	3.80216i	−0.418196	−	0.186193i
$418$	−0.0897897	−	0.276344i	−0.00439176	−	0.0135164i
$419$	−1.02281	−	3.14787i	−0.0499674	−	0.153784i	0.922959	−	0.384897i	$-0.125763\pi$
$419$	−1.02281	−	3.14787i	−0.0499674	−	0.153784i	−0.972927	+	0.231114i	$0.925763\pi$
$420$	−20.2813	−	9.02981i	−0.989625	−	0.440610i
$421$	−21.6216	−	4.59582i	−1.05377	−	0.223987i	−0.351716	−	0.936107i	$-0.614402\pi$
$421$	−21.6216	−	4.59582i	−1.05377	−	0.223987i	−0.702058	+	0.712120i	$0.747735\pi$
$422$	41.4852	−	8.81796i	2.01947	−	0.429252i
$423$	−4.55204	+	2.02670i	−0.221328	+	0.0985414i
$424$	−54.9357	−	61.0123i	−2.66791	−	2.96302i
$425$	2.38186	+	22.6619i	0.115537	+	1.09926i
$426$	9.24914	−	6.71989i	0.448122	−	0.325580i
$427$	−4.20663	+	40.0234i	−0.203573	+	1.93687i
$428$	−8.13792	−	14.0953i	−0.393361	−	0.681322i
$429$	−0.0916637	+	0.158766i	−0.00442556	+	0.00766530i
$430$	−25.7504	−	18.7088i	−1.24180	−	0.902217i
$431$	6.61668	−	7.34857i	0.318714	−	0.353968i	−0.562405	−	0.826862i	$-0.690124\pi$
$431$	6.61668	−	7.34857i	0.318714	−	0.353968i	0.881119	+	0.472894i	$0.156791\pi$
$432$	7.73626	−	23.8098i	0.372211	−	1.14555i
$433$	−0.809016			−0.0388788			−0.0194394	−	0.999811i	$-0.506188\pi$
$433$	−0.809016			−0.0388788			−0.0194394	+	0.999811i	$0.506188\pi$
$434$	22.8828	+	38.9296i	1.09841	+	1.86868i
$435$	−6.95036			−0.333244
$436$	11.1167	−	34.2138i	0.532395	−	1.63854i
$437$	0.771185	−	0.856488i	0.0368908	−	0.0409714i
$438$	−2.08091	−	1.51187i	−0.0994299	−	0.0722401i
$439$	−6.74994	+	11.6912i	−0.322157	+	0.557993i	−0.980933	−	0.194347i	$-0.937741\pi$
$439$	−6.74994	+	11.6912i	−0.322157	+	0.557993i	0.658776	+	0.752339i	$0.271075\pi$
$440$	3.71106	+	6.42774i	0.176918	+	0.306431i
$441$	0.814189	−	7.74649i	0.0387709	−	0.368880i
$442$	12.4875	−	9.07268i	0.593968	−	0.431543i
$443$	2.98166	+	28.3686i	0.141663	+	1.34783i	0.802207	+	0.597046i	$0.203659\pi$
$443$	2.98166	+	28.3686i	0.141663	+	1.34783i	−0.660544	+	0.750788i	$0.729674\pi$
$444$	−2.09604	−	2.32789i	−0.0994737	−	0.110477i
$445$	20.0311	−	8.91843i	0.949566	−	0.422774i
$446$	17.4860	−	3.71676i	0.827985	−	0.175994i
$447$	−3.95927	−	0.841568i	−0.187267	−	0.0398048i
$448$	12.2192	+	5.44035i	0.577304	+	0.257032i
$449$	7.94631	+	24.4562i	0.375010	+	1.15416i	0.943472	+	0.331452i	$0.107538\pi$
$449$	7.94631	+	24.4562i	0.375010	+	1.15416i	−0.568463	+	0.822709i	$0.692462\pi$
$450$	−8.35765	−	25.7222i	−0.393984	−	1.21256i
$451$	−3.93609	−	1.75246i	−0.185343	−	0.0825202i
$452$	26.1335	+	5.55485i	1.22922	+	0.261278i
$453$	5.83825	−	1.24096i	0.274305	−	0.0583053i
$454$	−53.1462	+	23.6622i	−2.49428	+	1.11052i
$455$	6.23297	+	6.92241i	0.292206	+	0.324528i
$456$	0.115125	+	1.09534i	0.00539123	+	0.0512941i
$457$	−11.9539	+	8.68504i	−0.559181	+	0.406269i	−0.831159	−	0.556034i	$-0.812322\pi$
$457$	−11.9539	+	8.68504i	−0.559181	+	0.406269i	0.271978	+	0.962304i	$0.412322\pi$
$458$	7.44522	−	70.8366i	0.347892	−	3.30998i
$459$	8.72094	+	15.1051i	0.407058	+	0.705046i
$460$	−25.6895	+	44.4956i	−1.19778	+	2.07462i
$461$	16.4550	+	11.9553i	0.766388	+	0.556813i	0.900863	−	0.434104i	$-0.142935\pi$
$461$	16.4550	+	11.9553i	0.766388	+	0.556813i	−0.134475	+	0.990917i	$0.542935\pi$
$462$	0.994903	−	1.10495i	0.0462871	−	0.0514070i
$463$	6.63715	−	20.4271i	0.308455	−	0.949326i	−0.669911	−	0.742442i	$-0.733668\pi$
$463$	6.63715	−	20.4271i	0.308455	−	0.949326i	0.978365	−	0.206884i	$-0.0663324\pi$
$464$	39.4211			1.83008
$465$	2.53710	−	8.02076i	0.117655	−	0.371954i
$466$	−33.5747			−1.55532
$467$	1.37949	−	4.24562i	0.0638350	−	0.196464i	−0.914052	−	0.405596i	$-0.867064\pi$
$467$	1.37949	−	4.24562i	0.0638350	−	0.196464i	0.977887	+	0.209132i	$0.0670639\pi$
$468$	−8.59053	+	9.54075i	−0.397098	+	0.441022i
$469$	28.7437	+	20.8835i	1.32726	+	0.964310i
$470$	−6.97725	+	12.0849i	−0.321836	+	0.557437i
$471$	0.485544	+	0.840988i	0.0223727	+	0.0387507i
$472$	−1.20810	+	11.4943i	−0.0556073	+	0.529068i
$473$	1.20854	−	0.878055i	0.0555687	−	0.0403730i
$474$	−1.53394	−	14.5945i	−0.0704564	−	0.670348i
$475$	0.796682	+	0.884805i	0.0365543	+	0.0405976i
$476$	−80.1423	+	35.6816i	−3.67332	+	1.63547i
$477$	−31.7267	+	6.74372i	−1.45267	+	0.308774i
$478$	−17.5885	−	3.73855i	−0.804478	−	0.170997i
$479$	0.376325	+	0.167551i	0.0171947	+	0.00765558i	0.415316	−	0.909677i	$-0.363671\pi$
$479$	0.376325	+	0.167551i	0.0171947	+	0.00765558i	−0.398121	+	0.917333i	$0.630338\pi$
$480$	−3.86536	−	11.8964i	−0.176429	−	0.542992i
$481$	0.406153	+	1.25001i	0.0185190	+	0.0569956i
$482$	−5.38542	−	2.39774i	−0.245299	−	0.109214i
$483$	5.76869	+	1.22617i	0.262485	+	0.0557928i
$484$	49.8002	−	10.5854i	2.26365	−	0.481153i
$485$	−22.9280	+	10.2082i	−1.04111	+	0.463530i
$486$	−21.0909	−	23.4239i	−0.956705	−	1.06253i
$487$	−0.214646	−	2.04222i	−0.00972656	−	0.0925420i	0.988582	−	0.150686i	$-0.0481483\pi$
$487$	−0.214646	−	2.04222i	−0.00972656	−	0.0925420i	−0.998308	+	0.0581443i	$0.981482\pi$
$488$	−72.0057	+	52.3152i	−3.25954	+	2.36820i
$489$	−0.0661097	+	0.628991i	−0.00298958	+	0.0284440i
$490$	−10.9068	−	18.8912i	−0.492721	−	0.853417i
$491$	15.2769	−	26.4603i	0.689435	−	1.19414i	−0.282586	−	0.959242i	$-0.591192\pi$
$491$	15.2769	−	26.4603i	0.689435	−	1.19414i	0.972021	−	0.234894i	$-0.0754744\pi$
$492$	23.0589	+	16.7533i	1.03958	+	0.755297i
$493$	−18.3774	+	20.4102i	−0.827677	+	0.919228i
$494$	0.249225	−	0.767036i	0.0112132	−	0.0345106i
$495$	2.93228			0.131796
$496$	−14.3900	+	45.4922i	−0.646128	+	2.04266i
$497$	27.2632			1.22292
$498$	−0.0363476	+	0.111866i	−0.00162877	+	0.00501285i
$499$	11.0242	−	12.2437i	0.493513	−	0.548101i	−0.444012	−	0.896021i	$-0.646445\pi$
$499$	11.0242	−	12.2437i	0.493513	−	0.548101i	0.937524	+	0.347920i	$0.113112\pi$
$500$	13.3149	+	9.67386i	0.595461	+	0.432628i
$501$	−1.77642	+	3.07685i	−0.0793645	+	0.137463i
$502$	21.3751	+	37.0228i	0.954018	+	1.65241i
$503$	−0.840934	+	8.00095i	−0.0374954	+	0.356745i	0.959647	+	0.281206i	$0.0907344\pi$
$503$	−0.840934	+	8.00095i	−0.0374954	+	0.356745i	−0.997143	+	0.0755389i	$0.975932\pi$
$504$	48.2675	−	35.0684i	2.15000	−	1.56207i
$505$	−5.55425	−	52.8452i	−0.247161	−	2.35158i
$506$	−2.30251	−	2.55720i	−0.102359	−	0.113681i
$507$	−0.464860	+	0.206969i	−0.0206452	+	0.00919182i
$508$	−2.30475	+	0.489890i	−0.102257	+	0.0217354i
$509$	1.92612	+	0.409410i	0.0853739	+	0.0181468i	0.250401	−	0.968142i	$-0.419438\pi$
$509$	1.92612	+	0.409410i	0.0853739	+	0.0181468i	−0.165027	+	0.986289i	$0.552771\pi$
$510$	21.3054	+	9.48576i	0.943417	+	0.420037i
$511$	−1.89545	−	5.83359i	−0.0838497	−	0.258063i
$512$	−14.8232	−	45.6211i	−0.655099	−	2.01619i
$513$	0.832560	+	0.370680i	0.0367584	+	0.0163659i
$514$	61.7596	+	13.1274i	2.72410	+	0.579025i
$515$	−55.6870	+	11.8366i	−2.45386	+	0.521585i
$516$	−9.02775	+	4.01942i	−0.397425	+	0.176945i
$517$	−0.438229	−	0.486703i	−0.0192733	−	0.0214052i
$518$	−1.11425	−	10.6014i	−0.0489576	−	0.465800i
$519$	−5.40403	+	3.92626i	−0.237211	+	0.172344i
$520$	−2.15341	+	20.4884i	−0.0944334	+	0.898474i
$521$	−7.11400	−	12.3218i	−0.311670	−	0.539829i	0.667054	−	0.745009i	$-0.267555\pi$
$521$	−7.11400	−	12.3218i	−0.311670	−	0.539829i	−0.978724	+	0.205181i	$0.934222\pi$
$522$	16.2991	−	28.2309i	0.713392	−	1.23563i
$523$	0.357654	+	0.259851i	0.0156391	+	0.0113625i	0.595577	−	0.803298i	$-0.296923\pi$
$523$	0.357654	+	0.259851i	0.0156391	+	0.0113625i	−0.579938	+	0.814660i	$0.696923\pi$
$524$	−42.1368	+	46.7976i	−1.84075	+	2.04436i
$525$	−1.88270	+	5.79437i	−0.0821679	+	0.252887i
$526$	−47.8830			−2.08780
$527$	−16.8451	−	28.6580i	−0.733786	−	1.24836i
$528$	1.57105			0.0683714
$529$	−2.88969	+	8.89354i	−0.125639	+	0.386676i
$530$	−60.7813	+	67.5045i	−2.64017	+	2.93221i
$531$	3.69405	+	2.68388i	0.160308	+	0.116471i
$532$	−2.29189	+	3.96967i	−0.0993661	+	0.172107i
$533$	−5.97957	−	10.3569i	−0.259004	−	0.448608i
$534$	1.01545	−	9.66141i	0.0439430	−	0.418090i
$535$	−8.34760	+	6.06489i	−0.360898	+	0.262208i
$536$	8.21350	+	78.1462i	0.354769	+	3.37540i
$537$	1.30096	+	1.44486i	0.0561405	+	0.0623503i
$538$	30.0069	−	13.3599i	1.29369	−	0.575987i
$539$	1.00141	−	0.212855i	0.0431336	−	0.00916833i
$540$	−39.7401	−	8.44701i	−1.71014	−	0.363501i
$541$	13.3640	+	5.95003i	0.574562	+	0.255812i	0.673383	−	0.739294i	$-0.264840\pi$
$541$	13.3640	+	5.95003i	0.574562	+	0.255812i	−0.0988210	+	0.995105i	$0.531507\pi$
$542$	−25.0550	−	77.1112i	−1.07620	−	3.31221i
$543$	1.12531	+	3.46335i	0.0482917	+	0.148627i
$544$	−45.1548	−	20.1042i	−1.93600	−	0.861961i
$545$	−22.3079	−	4.74170i	−0.955568	−	0.203112i
$546$	4.03682	−	0.858052i	0.172760	−	0.0367212i
$547$	5.46618	−	2.43370i	0.233717	−	0.104057i	−0.286537	−	0.958069i	$-0.592504\pi$
$547$	5.46618	−	2.43370i	0.233717	−	0.104057i	0.520254	+	0.854012i	$0.325837\pi$
$548$	69.5138	+	77.2029i	2.96948	+	3.29795i
$549$	3.67553	+	34.9704i	0.156868	+	1.49250i
$550$	2.87591	−	2.08947i	0.122629	−	0.0890952i
$551$	−0.150003	+	1.42718i	−0.00639035	+	0.0608001i
$552$	6.52157	+	11.2957i	0.277576	+	0.480776i
$553$	17.4976	−	30.3067i	0.744073	−	1.28877i
$554$	63.8541	+	46.3927i	2.71290	+	1.97104i
$555$	−1.32880	+	1.47578i	−0.0564045	+	0.0626436i
$556$	26.5887	−	81.8315i	1.12761	−	3.47043i
$557$	8.00892			0.339349			0.169674	−	0.985500i	$-0.445728\pi$
$557$	8.00892			0.339349			0.169674	+	0.985500i	$0.445728\pi$
$558$	26.6289	+	29.1144i	1.12729	+	1.23251i
$559$	4.14637			0.175373
$560$	24.6678	−	75.9196i	1.04240	−	3.20819i
$561$	−0.732397	+	0.813409i	−0.0309218	+	0.0343421i
$562$	58.4335	+	42.4544i	2.46487	+	1.79083i
$563$	−13.5196	+	23.4166i	−0.569782	+	0.986891i	0.426805	+	0.904344i	$0.359639\pi$
$563$	−13.5196	+	23.4166i	−0.569782	+	0.986891i	−0.996587	+	0.0825476i	$0.973694\pi$
$564$	2.16624	+	3.75204i	0.0912153	+	0.157989i
$565$	1.77047	−	16.8449i	0.0744843	−	0.708671i
$566$	−20.6120	+	14.9755i	−0.866389	+	0.629468i
$567$	−2.20909	−	21.0181i	−0.0927731	−	0.882677i
$568$	40.3456	+	44.8084i	1.69287	+	1.88012i
$569$	−5.45686	+	2.42955i	−0.228763	+	0.101852i	−0.517918	−	0.855430i	$-0.673293\pi$
$569$	−5.45686	+	2.42955i	−0.228763	+	0.101852i	0.289154	+	0.957283i	$0.406626\pi$
$570$	1.19194	−	0.253355i	0.0499250	−	0.0106119i
$571$	−22.1907	−	4.71678i	−0.928651	−	0.197391i	−0.281333	−	0.959610i	$-0.590776\pi$
$571$	−22.1907	−	4.71678i	−0.928651	−	0.197391i	−0.647319	+	0.762219i	$0.724110\pi$
$572$	−1.54154	−	0.686337i	−0.0644550	−	0.0286972i
$573$	1.97997	+	6.09372i	0.0827144	+	0.254569i
$574$	29.9726	+	92.2463i	1.25103	+	3.85029i
$575$	12.8810	+	5.73500i	0.537176	+	0.239166i
$576$	11.4315	+	2.42984i	0.476313	+	0.101243i
$577$	−32.7017	+	6.95097i	−1.36139	+	0.289373i	−0.830005	−	0.557757i	$-0.811662\pi$
$577$	−32.7017	+	6.95097i	−1.36139	+	0.289373i	−0.531387	+	0.847129i	$0.678329\pi$
$578$	44.0388	−	19.6073i	1.83177	−	0.815557i
$579$	−3.81737	−	4.23962i	−0.158645	−	0.176193i
$580$	−6.68712	−	63.6237i	−0.277667	−	2.64183i
$581$	−0.226926	+	0.164871i	−0.00941446	+	0.00684001i
$582$	−1.16231	+	11.0586i	−0.0481792	+	0.458394i
$583$	−2.13160	−	3.69204i	−0.0882819	−	0.152909i
$584$	6.78280	−	11.7481i	0.280674	−	0.486142i
$585$	6.58457	+	4.78397i	0.272238	+	0.197793i
$586$	23.3001	−	25.8774i	0.962517	−	1.06898i
$587$	−2.16505	+	6.66334i	−0.0893613	+	0.275026i	−0.985743	−	0.168257i	$-0.946186\pi$
$587$	−2.16505	+	6.66334i	−0.0893613	+	0.275026i	0.896382	+	0.443283i	$0.146186\pi$
$588$	−6.77255			−0.279295
$589$	−1.59222	−	0.694072i	−0.0656065	−	0.0285987i
$590$	12.7874			0.526451
$591$	−1.71929	+	5.29142i	−0.0707221	+	0.217660i
$592$	7.53672	−	8.37038i	0.309757	−	0.344020i
$593$	6.30630	+	4.58179i	0.258969	+	0.188152i	0.709692	−	0.704512i	$-0.248834\pi$
$593$	6.30630	+	4.58179i	0.258969	+	0.188152i	−0.450724	+	0.892664i	$0.648834\pi$
$594$	1.36050	−	2.35645i	0.0558220	−	0.0966865i
$595$	27.8075	+	48.1640i	1.14000	+	1.97453i
$596$	3.89441	−	37.0529i	0.159521	−	1.51774i
$597$	−7.17424	+	5.21239i	−0.293622	+	0.213329i
$598$	−0.998367	−	9.49882i	−0.0408262	−	0.388436i
$599$	−22.3036	−	24.7707i	−0.911300	−	1.01210i	−0.999871	−	0.0160315i	$-0.994897\pi$
$599$	−22.3036	−	24.7707i	−0.911300	−	1.01210i	0.0885713	−	0.996070i	$-0.471770\pi$
$600$	−12.3095	+	5.48052i	−0.502531	+	0.223741i
$601$	22.6552	−	4.81551i	0.924124	−	0.196429i	0.278810	−	0.960346i	$-0.410060\pi$
$601$	22.6552	−	4.81551i	0.924124	−	0.196429i	0.645314	+	0.763918i	$0.276727\pi$
$602$	−32.8939	−	6.99181i	−1.34065	−	0.284965i
$603$	28.3596	+	12.6265i	1.15489	+	0.514192i
$604$	16.9769	+	52.2495i	0.690779	+	2.12600i
$605$	−9.97401	−	30.6968i	−0.405501	−	1.24800i
$606$	−21.5066	−	9.57536i	−0.873646	−	0.388972i
$607$	−11.4889	−	2.44203i	−0.466319	−	0.0991191i	−0.0312408	−	0.999512i	$-0.509946\pi$
$607$	−11.4889	−	2.44203i	−0.466319	−	0.0991191i	−0.435078	+	0.900393i	$0.643279\pi$
$608$	−2.52622	+	0.536964i	−0.102452	+	0.0217768i
$609$	−6.70844	+	2.98679i	−0.271840	+	0.121031i
$610$	65.8924	+	73.1809i	2.66791	+	2.96301i
$611$	−0.190016	−	1.80788i	−0.00768722	−	0.0731391i
$612$	−62.0119	+	45.0543i	−2.50668	+	1.82121i
$613$	0.426385	−	4.05678i	0.0172215	−	0.163852i	−0.982531	−	0.186099i	$-0.940415\pi$
$613$	0.426385	−	4.05678i	0.0172215	−	0.163852i	0.999752	+	0.0222473i	$0.00708211\pi$
$614$	−36.9484	−	63.9964i	−1.49111	−	2.58269i
$615$	9.03467	−	15.6485i	0.364313	−	0.631009i
$616$	6.34409	+	4.60925i	0.255611	+	0.185712i
$617$	10.6796	−	11.8609i	0.429946	−	0.477504i	−0.488775	−	0.872410i	$-0.662556\pi$
$617$	10.6796	−	11.8609i	0.429946	−	0.477504i	0.918722	+	0.394906i	$0.129223\pi$
$618$	−7.79440	+	23.9887i	−0.313537	+	0.964967i
$619$	−13.0222			−0.523407			−0.261703	−	0.965148i	$-0.584284\pi$
$619$	−13.0222			−0.523407			−0.261703	+	0.965148i	$0.584284\pi$
$620$	75.8631	+	15.5077i	3.04674	+	0.622803i
$621$	10.7927			0.433098
$622$	−21.5623	+	66.3621i	−0.864571	+	2.66088i
$623$	15.5014	−	17.2160i	0.621049	−	0.689745i
$624$	3.52788	+	2.56315i	0.141228	+	0.102608i
$625$	14.7583	−	25.5622i	0.590333	−	1.02249i
$626$	8.26143	+	14.3092i	0.330193	+	0.571911i
$627$	−0.00597809	+	0.0568777i	−0.000238742	+	0.00227148i
$628$	−7.23126	+	5.25382i	−0.288559	+	0.209650i
$629$	0.820258	+	7.80423i	0.0327058	+	0.311175i
$630$	−44.1696	−	49.0553i	−1.75976	−	1.95441i
$631$	−15.4215	+	6.86611i	−0.613922	+	0.273336i	−0.690049	−	0.723762i	$-0.742411\pi$
$631$	−15.4215	+	6.86611i	−0.613922	+	0.273336i	0.0761272	+	0.997098i	$0.475744\pi$
$632$	75.7045	−	16.0915i	3.01136	−	0.640085i
$633$	−8.16540	−	1.73561i	−0.324545	−	0.0689843i
$634$	−26.8497	−	11.9542i	−1.06634	−	0.474764i
$635$	0.461597	+	1.42065i	0.0183179	+	0.0563767i
$636$	8.71495	+	26.8219i	0.345570	+	1.06356i
$637$	2.59598	+	1.15580i	0.102856	+	0.0457946i
$638$	4.19096	+	0.890815i	0.165922	+	0.0352677i
$639$	23.3006	−	4.95270i	0.921757	−	0.195926i
$640$	−15.0136	+	6.68447i	−0.593463	+	0.264227i
$641$	10.5380	+	11.7037i	0.416227	+	0.462267i	0.914401	−	0.404810i	$-0.132662\pi$
$641$	10.5380	+	11.7037i	0.416227	+	0.462267i	−0.498174	+	0.867077i	$0.665996\pi$
$642$	0.477848	+	4.54642i	0.0188591	+	0.179433i
$643$	−31.9639	+	23.2231i	−1.26053	+	0.915830i	−0.998784	−	0.0493068i	$-0.984299\pi$
$643$	−31.9639	+	23.2231i	−1.26053	+	0.915830i	−0.261748	+	0.965136i	$0.584299\pi$
$644$	−5.67420	+	53.9864i	−0.223595	+	2.12736i
$645$	3.13242	+	5.42551i	0.123339	+	0.213629i
$646$	2.40762	−	4.17012i	0.0947264	−	0.164071i
$647$	21.3854	+	15.5374i	0.840745	+	0.610837i	0.922579	−	0.385809i	$-0.126078\pi$
$647$	21.3854	+	15.5374i	0.840745	+	0.610837i	−0.0818336	+	0.996646i	$0.526078\pi$
$648$	31.2751	−	34.7345i	1.22860	−	1.36450i
$649$	−0.185457	+	0.570777i	−0.00727981	+	0.0224050i
$650$	9.86693			0.387013
$651$	−0.997982	−	8.83185i	−0.0391140	−	0.346148i
$652$	−5.82140			−0.227984
$653$	10.3087	−	31.7269i	0.403411	−	1.24157i	−0.518804	−	0.854893i	$-0.673623\pi$
$653$	10.3087	−	31.7269i	0.403411	−	1.24157i	0.922215	−	0.386677i	$-0.126377\pi$
$654$	−6.76109	+	7.50896i	−0.264380	+	0.293623i
$655$	32.2975	+	23.4655i	1.26197	+	0.916872i
$656$	−51.2429	+	88.7554i	−2.00070	+	3.46532i
$657$	−2.67970	−	4.64137i	−0.104545	−	0.181077i
$658$	−1.54111	+	14.6627i	−0.0600786	+	0.571610i
$659$	−6.76027	+	4.91162i	−0.263343	+	0.191330i	−0.711619	−	0.702565i	$-0.752038\pi$
$659$	−6.76027	+	4.91162i	−0.263343	+	0.191330i	0.448277	+	0.893895i	$0.352038\pi$
$660$	−0.266502	−	2.53560i	−0.0103736	−	0.0986981i
$661$	0.319406	+	0.354736i	0.0124234	+	0.0137976i	0.749325	−	0.662203i	$-0.230378\pi$
$661$	0.319406	+	0.354736i	0.0124234	+	0.0137976i	−0.736901	+	0.676001i	$0.763712\pi$
$662$	59.1668	−	26.3428i	2.29958	−	1.02384i
$663$	−2.97170	+	0.631654i	−0.115411	+	0.0245314i
$664$	−0.606792	−	0.128978i	−0.0235481	−	0.00500530i
$665$	2.65470	+	1.18195i	0.102945	+	0.0458339i
$666$	−2.87818	−	8.85814i	−0.111527	−	0.343246i
$667$	5.25163	+	16.1629i	0.203344	+	0.625829i
$668$	−29.8746	−	13.3010i	−1.15588	−	0.514633i
$669$	−3.44170	−	0.731557i	−0.133064	−	0.0282836i
$670$	85.0381	−	18.0754i	3.28531	−	0.698314i
$671$	−4.22213	+	1.87981i	−0.162993	+	0.0725693i
$672$	−8.84306	−	9.82121i	−0.341128	−	0.378861i
$673$	−3.92067	−	37.3027i	−0.151131	−	1.43791i	−0.762715	−	0.646734i	$-0.776134\pi$
$673$	−3.92067	−	37.3027i	−0.151131	−	1.43791i	0.611584	−	0.791179i	$-0.290532\pi$
$674$	−5.88818	+	4.27802i	−0.226804	+	0.164783i
$675$	−1.16545	+	11.0885i	−0.0448581	+	0.426797i
$676$	−2.34185	−	4.05621i	−0.0900712	−	0.156008i
$677$	7.48938	−	12.9720i	0.287840	−	0.498554i	−0.685454	−	0.728116i	$-0.740396\pi$
$677$	7.48938	−	12.9720i	0.287840	−	0.498554i	0.973294	+	0.229562i	$0.0737294\pi$
$678$	−6.07104	−	4.41087i	−0.233157	−	0.169398i
$679$	−17.7431	+	19.7057i	−0.680919	+	0.756237i
$680$	−38.0087	+	116.979i	−1.45757	+	4.48593i
$681$	11.4505			0.438785
$682$	−2.55784	+	4.51121i	−0.0979447	+	0.172743i
$683$	2.73241			0.104553			0.0522763	−	0.998633i	$-0.483352\pi$
$683$	2.73241			0.104553			0.0522763	+	0.998633i	$0.483352\pi$
$684$	−1.23763	+	3.80905i	−0.0473221	+	0.145643i
$685$	44.0689	−	48.9434i	1.68378	−	1.87003i
$686$	27.2848	+	19.8236i	1.04174	+	0.756868i
$687$	−7.00966	+	12.1411i	−0.267435	+	0.463211i
$688$	−17.7665	−	30.7725i	−0.677342	−	1.17319i
$689$	1.23690	−	11.7683i	0.0471222	−	0.448338i
$690$	11.6750	−	8.48235i	0.444458	−	0.322918i
$691$	−0.373815	−	3.55661i	−0.0142206	−	0.135300i	0.985108	−	0.171936i	$-0.0550023\pi$
$691$	−0.373815	−	3.55661i	−0.0142206	−	0.135300i	−0.999329	+	0.0366364i	$0.988336\pi$
$692$	−41.1404	−	45.6910i	−1.56392	−	1.73691i
$693$	2.83021	−	1.26009i	0.107511	−	0.0478669i
$694$	−65.5828	+	13.9401i	−2.48949	+	0.529157i
$695$	−53.3555	−	11.3411i	−2.02389	−	0.430191i
$696$	−14.8365	−	6.60562i	−0.562375	−	0.250385i
$697$	−22.0643	−	67.9070i	−0.835746	−	2.57216i
$698$	−16.9635	−	52.2081i	−0.642076	−	1.97611i
$699$	6.03707	+	2.68788i	0.228343	+	0.101665i
$700$	−54.8531	−	11.6594i	−2.07325	−	0.440683i
$701$	−13.3767	+	2.84330i	−0.505231	+	0.107390i	−0.453474	−	0.891270i	$-0.649815\pi$
$701$	−13.3767	+	2.84330i	−0.505231	+	0.107390i	−0.0517570	+	0.998660i	$0.516482\pi$
$702$	6.89960	−	3.07190i	0.260408	−	0.115941i
$703$	0.274359	+	0.304706i	0.0103476	+	0.0114922i
$704$	0.160564	+	1.52767i	0.00605150	+	0.0575761i
$705$	2.22206	−	1.61442i	0.0836875	−	0.0608026i
$706$	−4.55513	+	43.3392i	−0.171435	+	1.63109i
$707$	−28.0702	−	48.6190i	−1.05569	−	1.82850i
$708$	1.98507	−	3.43825i	0.0746036	−	0.129217i
$709$	9.52425	+	6.91977i	0.357691	+	0.259878i	0.752088	−	0.659062i	$-0.229047\pi$
$709$	9.52425	+	6.91977i	0.357691	+	0.259878i	−0.394397	+	0.918940i	$0.629047\pi$
$710$	44.6388	−	49.5764i	1.67526	−	1.86057i
$711$	9.44880	−	29.0804i	0.354358	−	1.09060i
$712$	51.2352			1.92012
$713$	−20.5691	+	0.160461i	−0.770318	+	0.00600933i
$714$	24.6401			0.922133
$715$	−0.330573	+	1.01740i	−0.0123627	+	0.0380486i
$716$	−11.9746	+	13.2991i	−0.447511	+	0.497011i
$717$	2.86329	+	2.08030i	0.106931	+	0.0776903i
$718$	32.2937	−	55.9343i	1.20519	−	2.08745i
$719$	−20.3929	−	35.3215i	−0.760525	−	1.31727i	−0.942580	−	0.333980i	$-0.891608\pi$
$719$	−20.3929	−	35.3215i	−0.760525	−	1.31727i	0.182055	−	0.983288i	$-0.441725\pi$
$720$	7.29069	−	69.3662i	0.271708	−	2.58513i
$721$	−48.6622	+	35.3551i	−1.81227	+	1.31669i
$722$	5.10818	+	48.6011i	0.190107	+	1.80875i
$723$	0.776397	+	0.862276i	0.0288745	+	0.0320684i
$724$	−30.6209	+	13.6333i	−1.13802	+	0.506678i
$725$	−17.1729	+	3.65021i	−0.637785	+	0.135565i
$726$	−13.9876	−	2.97315i	−0.519128	−	0.110344i
$727$	−8.72484	−	3.88455i	−0.323587	−	0.144070i	0.238514	−	0.971139i	$-0.423340\pi$
$727$	−8.72484	−	3.88455i	−0.323587	−	0.144070i	−0.562100	+	0.827069i	$0.690006\pi$
$728$	6.72604	+	20.7006i	0.249284	+	0.767216i
$729$	−4.32810	−	13.3205i	−0.160300	−	0.493353i
$730$	−13.7115	−	6.10475i	−0.507485	−	0.225947i
$731$	24.2148	+	5.14701i	0.895616	+	0.190369i
$732$	29.9056	−	6.35662i	1.10534	−	0.234948i
$733$	33.3158	−	14.8331i	1.23055	−	0.547875i	0.314619	−	0.949218i	$-0.398123\pi$
$733$	33.3158	−	14.8331i	1.23055	−	0.547875i	0.915928	+	0.401344i	$0.131457\pi$
$734$	16.8595	+	18.7244i	0.622295	+	0.691129i
$735$	0.448794	+	4.26999i	0.0165540	+	0.157501i
$736$	−24.7440	+	17.9776i	−0.912076	+	0.662662i
$737$	−0.426501	+	4.05789i	−0.0157104	+	0.149474i
$738$	42.3739	+	73.3938i	1.55981	+	2.70166i
$739$	26.2987	−	45.5506i	0.967412	−	1.67561i	0.264422	−	0.964407i	$-0.414819\pi$
$739$	26.2987	−	45.5506i	0.967412	−	1.67561i	0.702990	−	0.711200i	$-0.251848\pi$
$740$	−14.7878	−	10.7440i	−0.543611	−	0.394957i
$741$	−0.106219	+	0.117969i	−0.00390207	+	0.00433368i
$742$	−29.6569	+	91.2746i	−1.08874	+	3.35080i
$743$	35.8001			1.31338			0.656689	−	0.754162i	$-0.271957\pi$
$743$	35.8001			1.31338			0.656689	+	0.754162i	$0.271957\pi$
$744$	13.0387	−	14.7101i	0.478022	−	0.539299i
$745$	−23.6194			−0.865346
$746$	−9.91749	+	30.5229i	−0.363105	+	1.11752i
$747$	−0.163992	+	0.182132i	−0.00600016	+	0.00666385i
$748$	−8.15061	−	5.92177i	−0.298016	−	0.216521i
$749$	−5.45077	+	9.44101i	−0.199167	+	0.344967i
$750$	−2.31133	−	4.00334i	−0.0843979	−	0.146181i
$751$	0.200743	−	1.90994i	0.00732520	−	0.0696947i	−0.990249	−	0.139312i	$-0.955511\pi$
$751$	0.200743	−	1.90994i	0.00732520	−	0.0696947i	0.997574	+	0.0696169i	$0.0221777\pi$
$752$	−12.6031	+	9.15668i	−0.459588	+	0.333910i
$753$	−0.879542	−	8.36829i	−0.0320523	−	0.304957i
$754$	7.95765	+	8.83786i	0.289800	+	0.321856i
$755$	31.8175	−	14.1661i	1.15796	−	0.515556i
$756$	−41.9868	+	8.92457i	−1.52704	+	0.324583i
$757$	−7.32406	−	1.55678i	−0.266198	−	0.0565821i	0.0728791	−	0.997341i	$-0.476781\pi$
$757$	−7.32406	−	1.55678i	−0.266198	−	0.0565821i	−0.339077	+	0.940759i	$0.610115\pi$
$758$	−41.4554	−	18.4571i	−1.50573	−	0.670393i
$759$	0.209294	+	0.644140i	0.00759689	+	0.0233808i
$760$	1.98598	+	6.11223i	0.0720392	+	0.221714i
$761$	42.1664	+	18.7737i	1.52853	+	0.680546i	0.987086	−	0.160191i	$-0.0512109\pi$
$761$	42.1664	+	18.7737i	1.52853	+	0.680546i	0.541445	+	0.840736i	$0.317878\pi$
$762$	0.647344	+	0.137597i	0.0234508	+	0.00498462i
$763$	−23.5691	+	5.00977i	−0.853260	+	0.181366i
$764$	−53.8770	+	23.9876i	−1.94920	+	0.867840i
$765$	32.5154	+	36.1120i	1.17560	+	1.30563i
$766$	10.3747	+	98.7089i	0.374854	+	3.56650i
$767$	−1.34767	+	0.979138i	−0.0486615	+	0.0353546i
$768$	−1.21466	+	11.5567i	−0.0438301	+	0.417016i
$769$	20.4902	+	35.4901i	0.738897	+	1.27981i	0.952992	+	0.302995i	$0.0979864\pi$
$769$	20.4902	+	35.4901i	0.738897	+	1.27981i	−0.214095	+	0.976813i	$0.568680\pi$
$770$	4.33808	−	7.51377i	0.156333	−	0.270778i
$771$	−10.0541	−	7.30470i	−0.362088	−	0.263072i
$772$	35.1368	−	39.0233i	1.26460	−	1.40448i
$773$	−7.42355	+	22.8473i	−0.267007	+	0.821762i	0.724218	+	0.689571i	$0.242201\pi$
$773$	−7.42355	+	22.8473i	−0.267007	+	0.821762i	−0.991224	+	0.132191i	$0.957799\pi$
$774$	−29.3830			−1.05615
$775$	2.05628	−	21.1501i	0.0738638	−	0.759732i
$776$	−58.6446			−2.10522
$777$	−0.648360	+	1.99545i	−0.0232598	+	0.0715862i
$778$	22.1943	−	24.6493i	0.795705	−	0.883720i
$779$	−3.01827	−	2.19290i	−0.108141	−	0.0785689i
$780$	3.53836	−	6.12861i	0.126693	−	0.219439i
$781$	1.56548	+	2.71149i	0.0560173	+	0.0970248i
$782$	5.96071	−	56.7124i	0.213155	−	2.02803i
$783$	−10.8720	+	7.89894i	−0.388532	+	0.282285i
$784$	−2.54548	−	24.2186i	−0.0909099	−	0.864950i
$785$	3.79164	+	4.21105i	0.135330	+	0.150299i
$786$	16.1582	−	7.19408i	0.576342	−	0.256604i
$787$	14.5703	−	3.09701i	0.519375	−	0.110397i	0.0592368	−	0.998244i	$-0.481133\pi$
$787$	14.5703	−	3.09701i	0.519375	−	0.110397i	0.460138	+	0.887847i	$0.347800\pi$
$788$	−50.0919	−	10.6474i	−1.78445	−	0.379297i
$789$	8.60984	+	3.83335i	0.306518	+	0.136471i
$790$	−26.4615	−	81.4402i	−0.941459	−	2.89751i
$791$	−5.52994	−	17.0194i	−0.196622	−	0.605141i
$792$	6.25933	+	2.78683i	0.222416	+	0.0990259i
$793$	−12.5479	−	2.66713i	−0.445588	−	0.0947127i
$794$	−24.6122	+	5.23149i	−0.873455	+	0.185659i
$795$	16.3333	−	7.27204i	0.579281	−	0.257913i
$796$	−54.6168	−	60.6581i	−1.93584	−	2.14997i
$797$	1.24611	+	11.8560i	0.0441396	+	0.419960i	0.994172	+	0.107808i	$0.0343831\pi$
$797$	1.24611	+	11.8560i	0.0441396	+	0.419960i	−0.950032	+	0.312152i	$0.898950\pi$
$798$	1.04158	−	0.756753i	0.0368716	−	0.0267888i
$799$	1.13448	−	10.7939i	0.0401352	−	0.381861i
$800$	−15.7982	−	27.3634i	−0.558552	−	0.967441i
$801$	10.1208	−	17.5298i	0.357601	−	0.619384i
$802$	5.33060	+	3.87291i	0.188230	+	0.136757i
$803$	0.471348	−	0.523485i	0.0166335	−	0.0184734i
$804$	8.34093	−	25.6707i	0.294162	−	0.905337i
$805$	34.4137			1.21292
$806$	−13.1037	+	5.95708i	−0.461560	+	0.209829i
$807$	−6.46509			−0.227582
$808$	38.3678	−	118.084i	1.34977	−	4.15417i
$809$	14.5730	−	16.1850i	0.512360	−	0.569034i	−0.430343	−	0.902665i	$-0.641607\pi$
$809$	14.5730	−	16.1850i	0.512360	−	0.569034i	0.942704	+	0.333632i	$0.108274\pi$
$810$	−41.8370	−	30.3964i	−1.47000	−	1.06802i
$811$	−3.83619	+	6.64448i	−0.134707	+	0.233319i	−0.925485	−	0.378783i	$-0.876343\pi$
$811$	−3.83619	+	6.64448i	−0.134707	+	0.233319i	0.790779	+	0.612102i	$0.209676\pi$
$812$	−33.7955	−	58.5355i	−1.18599	−	2.05419i
$813$	−1.66813	+	15.8712i	−0.0585038	+	0.556627i
$814$	0.990396	−	0.719565i	0.0347133	−	0.0252207i
$815$	0.385765	+	3.67031i	0.0135128	+	0.128565i
$816$	17.4211	+	19.3481i	0.609860	+	0.677318i
$817$	1.18168	−	0.526117i	0.0413417	−	0.0184065i
$818$	19.1800	−	4.07683i	0.670611	−	0.142543i
$819$	8.41121	+	1.78786i	0.293911	+	0.0624728i
$820$	151.939	+	67.6476i	5.30594	+	2.36236i
$821$	−13.8908	−	42.7516i	−0.484794	−	1.49204i	−0.832279	−	0.554357i	$-0.812964\pi$
$821$	−13.8908	−	42.7516i	−0.484794	−	1.49204i	0.347485	−	0.937685i	$-0.387036\pi$
$822$	−9.01683	−	27.7510i	−0.314498	−	0.967926i
$823$	16.0527	+	7.14712i	0.559562	+	0.249133i	0.666973	−	0.745082i	$-0.267589\pi$
$823$	16.0527	+	7.14712i	0.559562	+	0.249133i	−0.107411	+	0.994215i	$0.534256\pi$
$824$	−130.121	−	27.6581i	−4.53298	−	0.963514i
$825$	−0.684392	+	0.145472i	−0.0238275	+	0.00506469i
$826$	12.3423	−	5.49517i	0.429445	−	0.191201i
$827$	27.2181	+	30.2287i	0.946465	+	1.05116i	0.998620	+	0.0525167i	$0.0167243\pi$
$827$	27.2181	+	30.2287i	0.946465	+	1.05116i	−0.0521552	+	0.998639i	$0.516609\pi$
$828$	4.95782	+	47.1705i	0.172296	+	1.63929i
$829$	35.2185	−	25.5878i	1.22319	−	0.888700i	0.226830	−	0.973934i	$-0.427164\pi$
$829$	35.2185	−	25.5878i	1.22319	−	0.888700i	0.996361	+	0.0852344i	$0.0271639\pi$
$830$	−0.0717439	+	0.682598i	−0.00249027	+	0.0236933i
$831$	−7.76757	−	13.4538i	−0.269454	−	0.466708i
$832$	−2.13181	+	3.69241i	−0.0739074	+	0.128011i
$833$	13.7258	+	9.97235i	0.475569	+	0.345521i
$834$	−16.1710	+	17.9597i	−0.559956	+	0.621894i
$835$	−6.40642	+	19.7169i	−0.221703	+	0.682332i
$836$	−0.526411			−0.0182063
$837$	−5.14682	−	15.4297i	−0.177900	−	0.533327i
$838$	−8.55696			−0.295595
$839$	11.1168	−	34.2140i	0.383794	−	1.18120i	−0.553557	−	0.832812i	$-0.686730\pi$
$839$	11.1168	−	34.2140i	0.383794	−	1.18120i	0.937351	−	0.348386i	$-0.113270\pi$
$840$	−22.0054	+	24.4395i	−0.759260	+	0.843243i
$841$	6.34211	+	4.60781i	0.218693	+	0.158890i
$842$	−28.5734	+	49.4907i	−0.984706	+	1.70556i
$843$	−7.10817	−	12.3117i	−0.244818	−	0.424038i
$844$	8.03165	−	76.4160i	0.276461	−	2.63035i
$845$	−2.40219	+	1.74529i	−0.0826379	+	0.0600399i
$846$	1.34654	+	12.8115i	0.0462949	+	0.440467i
$847$	−22.8183	−	25.3422i	−0.784045	−	0.870770i
$848$	−92.6393	+	41.2457i	−3.18125	+	1.41638i
$849$	4.90514	−	1.04262i	0.168344	−	0.0357826i
$850$	57.6228	+	12.2481i	1.97645	+	0.420107i
$851$	4.43593	+	1.97500i	0.152062	+	0.0677022i
$852$	−6.40039	−	19.6984i	−0.219274	−	0.674856i
$853$	−2.61661	−	8.05310i	−0.0895910	−	0.275733i	0.896215	−	0.443619i	$-0.146306\pi$
$853$	−2.61661	−	8.05310i	−0.0895910	−	0.275733i	−0.985806	+	0.167887i	$0.946306\pi$
$854$	95.0471	+	42.3177i	3.25244	+	1.44808i
$855$	2.48356	+	0.527897i	0.0849360	+	0.0180537i
$856$	−23.5831	+	5.01275i	−0.806055	+	0.171332i
$857$	27.3867	−	12.1933i	0.935512	−	0.416517i	0.118381	−	0.992968i	$-0.462230\pi$
$857$	27.3867	−	12.1933i	0.935512	−	0.416517i	0.817131	+	0.576452i	$0.195563\pi$
$858$	0.317137	+	0.352216i	0.0108269	+	0.0120245i
$859$	2.37548	+	22.6012i	0.0810503	+	0.771142i	0.957263	+	0.289218i	$0.0933953\pi$
$859$	2.37548	+	22.6012i	0.0810503	+	0.771142i	−0.876213	+	0.481924i	$0.839938\pi$
$860$	−46.6514	+	33.8942i	−1.59080	+	1.15578i
$861$	1.99554	−	18.9863i	0.0680079	−	0.647052i
$862$	−12.7823	−	22.1395i	−0.435366	−	0.754076i
$863$	9.94350	−	17.2226i	0.338481	−	0.586266i	−0.645667	−	0.763619i	$-0.723420\pi$
$863$	9.94350	−	17.2226i	0.338481	−	0.586266i	0.984147	+	0.177354i	$0.0567537\pi$
$864$	−19.5663	−	14.2157i	−0.665658	−	0.483629i
$865$	−26.0813	+	28.9662i	−0.886790	+	0.984880i
$866$	−0.646321	+	1.98917i	−0.0219629	+	0.0675948i
$867$	−9.48830			−0.322240
$868$	79.8867	−	17.6329i	2.71153	−	0.598499i
$869$	4.01892			0.136332
$870$	−5.55262	+	17.0892i	−0.188252	+	0.579379i
$871$	−7.57812	+	8.41636i	−0.256775	+	0.285177i
$872$	−43.1128	−	31.3233i	−1.45998	−	1.06074i
$873$	−11.5844	+	20.0649i	−0.392074	+	0.679092i
$874$	−1.48979	−	2.58040i	−0.0503930	−	0.0872833i
$875$	1.15229	−	10.9633i	0.0389544	−	0.370626i
$876$	−3.76994	+	2.73902i	−0.127375	+	0.0925431i
$877$	1.68419	+	16.0240i	0.0568710	+	0.541091i	0.985451	+	0.169959i	$0.0543636\pi$
$877$	1.68419	+	16.0240i	0.0568710	+	0.541091i	−0.928580	+	0.371132i	$0.878970\pi$
$878$	23.3534	+	25.9365i	0.788138	+	0.875316i
$879$	−6.26124	+	2.78768i	−0.211186	+	0.0940262i
$880$	8.96713	−	1.90602i	0.302282	−	0.0642520i
$881$	−18.0348	−	3.83342i	−0.607609	−	0.129151i	−0.106176	−	0.994347i	$-0.533861\pi$
$881$	−18.0348	−	3.83342i	−0.607609	−	0.129151i	−0.501434	+	0.865196i	$0.667194\pi$
$882$	−18.3962	−	8.19054i	−0.619434	−	0.275790i
$883$	1.17438	+	3.61437i	0.0395210	+	0.121633i	0.968871	−	0.247568i	$-0.0796314\pi$
$883$	1.17438	+	3.61437i	0.0395210	+	0.121633i	−0.929350	+	0.369201i	$0.879631\pi$
$884$	−8.64132	−	26.5952i	−0.290639	−	0.894495i
$885$	−2.29931	−	1.02372i	−0.0772904	−	0.0344119i
$886$	72.1335	+	15.3324i	2.42337	+	0.515103i
$887$	−10.5170	+	2.23545i	−0.353126	+	0.0750592i	−0.381059	−	0.924551i	$-0.624441\pi$
$887$	−10.5170	+	2.23545i	−0.353126	+	0.0750592i	0.0279336	+	0.999610i	$0.491107\pi$
$888$	−4.23909	+	1.88737i	−0.142255	+	0.0633358i
$889$	1.05603	+	1.17284i	0.0354180	+	0.0393357i
$890$	−5.92541	−	56.3765i	−0.198620	−	1.88974i
$891$	1.96353	−	1.42659i	0.0657807	−	0.0477925i
$892$	3.38533	−	32.2093i	0.113349	−	1.07845i
$893$	−0.283548	−	0.491119i	−0.00948857	−	0.0164347i
$894$	−5.23225	+	9.06253i	−0.174993	+	0.303096i
$895$	9.17841	+	6.66851i	0.306800	+	0.222904i
$896$	−11.6185	+	12.9036i	−0.388145	+	0.431079i
$897$	−0.580927	+	1.78791i	−0.0193966	+	0.0596965i
$898$	66.4801			2.21847
$899$	20.6026	−	15.2156i	0.687135	−	0.507470i
$900$	−48.9985			−1.63328
$901$	21.8319	−	67.1917i	0.727326	−	2.23848i
$902$	−7.45340	+	8.27784i	−0.248171	+	0.275622i
$903$	5.35491	+	3.89057i	0.178200	+	0.129470i
$904$	19.7887	−	34.2750i	0.658163	−	1.13997i
$905$	10.6247	+	18.4026i	0.353178	+	0.611723i
$906$	1.61295	−	15.3462i	0.0535867	−	0.509844i
$907$	−39.1103	+	28.4153i	−1.29864	+	0.943516i	−0.999941	−	0.0108325i	$-0.996552\pi$
$907$	−39.1103	+	28.4153i	−1.29864	+	0.943516i	−0.298697	+	0.954348i	$0.596552\pi$
$908$	11.0169	+	104.818i	0.365607	+	3.47852i
$909$	−32.8225	−	36.4531i	−1.08865	−	1.20907i
$910$	22.0000	−	9.79503i	0.729293	−	0.324702i
$911$	−16.8031	+	3.57161i	−0.556711	+	0.118333i	−0.477671	−	0.878539i	$-0.658519\pi$
$911$	−16.8031	+	3.57161i	−0.556711	+	0.118333i	−0.0790403	+	0.996871i	$0.525186\pi$
$912$	1.33064	+	0.282837i	0.0440620	+	0.00936566i
$913$	−0.0294278	−	0.0131021i	−0.000973917	−	0.000433616i
$914$	11.8044	+	36.3302i	0.390455	+	1.20170i
$915$	−5.98950	−	18.4338i	−0.198007	−	0.609402i
$916$	−117.884	−	52.4853i	−3.89499	−	1.73416i
$917$	41.2572	+	8.76948i	1.36243	+	0.289594i
$918$	44.1069	−	9.37520i	1.45574	−	0.309428i
$919$	0.738118	−	0.328631i	0.0243483	−	0.0108405i	−0.394526	−	0.918885i	$-0.629091\pi$
$919$	0.738118	−	0.328631i	0.0243483	−	0.0108405i	0.418875	+	0.908044i	$0.362425\pi$
$920$	50.9273	+	56.5605i	1.67902	+	1.86474i
$921$	1.52035	+	14.4652i	0.0500972	+	0.476643i
$922$	42.5410	−	30.9078i	1.40101	−	1.01790i
$923$	−0.908400	+	8.64285i	−0.0299004	+	0.284483i
$924$	−1.34685	−	2.33282i	−0.0443082	−	0.0767441i
$925$	−2.50814	+	4.34422i	−0.0824670	+	0.142837i
$926$	−44.9227	−	32.6382i	−1.47625	−	1.07256i
$927$	−35.1666	+	39.0565i	−1.15502	+	1.28278i
$928$	11.7683	−	36.2190i	0.386313	−	1.18895i
$929$	13.9630			0.458110			0.229055	−	0.973414i	$-0.426436\pi$
$929$	13.9630			0.458110			0.229055	+	0.973414i	$0.426436\pi$
$930$	−17.6942	−	12.6459i	−0.580215	−	0.414674i
$931$	0.886485			0.0290534
$932$	−18.7964	+	57.8495i	−0.615698	+	1.89492i
$933$	9.18984	−	10.2064i	0.300862	−	0.334141i
$934$	−9.33686	−	6.78363i	−0.305511	−	0.221967i
$935$	−3.19347	+	5.53126i	−0.104438	+	0.180891i
$936$	9.50896	+	16.4700i	0.310810	+	0.538339i
$937$	−0.266382	+	2.53445i	−0.00870231	+	0.0827969i	−0.998011	−	0.0630394i	$-0.979921\pi$
$937$	−0.266382	+	2.53445i	−0.00870231	+	0.0827969i	0.989309	+	0.145836i	$0.0465873\pi$
$938$	74.3106	−	53.9898i	2.42633	−	1.76283i
$939$	−0.339941	−	3.23432i	−0.0110935	−	0.105548i
$940$	16.9163	+	18.7875i	0.551749	+	0.612780i
$941$	25.0348	−	11.1462i	0.816111	−	0.363356i	0.0441490	−	0.999025i	$-0.485942\pi$
$941$	25.0348	−	11.1462i	0.816111	−	0.363356i	0.771962	+	0.635669i	$0.219276\pi$
$942$	2.45568	−	0.521971i	0.0800104	−	0.0170067i
$943$	−43.2167	−	9.18599i	−1.40733	−	0.299137i
$944$	13.0413	+	5.80634i	0.424457	+	0.188980i
$945$	8.40913	+	25.8806i	0.273549	+	0.841897i
$946$	−1.19342	−	3.67297i	−0.0388015	−	0.119419i
$947$	−38.5846	−	17.1790i	−1.25383	−	0.558241i	−0.331067	−	0.943607i	$-0.607409\pi$
$947$	−38.5846	−	17.1790i	−1.25383	−	0.558241i	−0.922764	+	0.385366i	$0.874075\pi$
$948$	−26.0052	−	5.52758i	−0.844610	−	0.179527i
$949$	1.91249	−	0.406513i	0.0620822	−	0.0131960i
$950$	2.81198	−	1.25198i	0.0912328	−	0.0406195i
$951$	3.87082	+	4.29899i	0.125520	+	0.139404i
$952$	13.5838	+	129.241i	0.440252	+	4.18872i
$953$	26.9200	−	19.5585i	0.872024	−	0.633562i	−0.0591054	−	0.998252i	$-0.518825\pi$
$953$	26.9200	−	19.5585i	0.872024	−	0.633562i	0.931129	+	0.364689i	$0.118825\pi$
$954$	−8.76524	+	83.3957i	−0.283785	+	2.70004i
$955$	18.6941	+	32.3791i	0.604926	+	1.04776i
$956$	−16.2883	+	28.2121i	−0.526800	+	0.912444i
$957$	−0.682260	−	0.495691i	−0.0220543	−	0.0160234i
$958$	0.712610	−	0.791434i	0.0230234	−	0.0255701i
$959$	21.5024	−	66.1776i	0.694349	−	2.13699i
$960$	−6.44201			−0.207915
$961$	10.0383	+	29.3297i	0.323817	+	0.946120i
$962$	3.39794			0.109554
$963$	−2.94345	+	9.05900i	−0.0948513	+	0.291922i
$964$	−7.14629	+	7.93676i	−0.230167	+	0.255626i
$965$	−26.9320	−	19.5673i	−0.866973	−	0.629893i
$966$	7.62345	−	13.2042i	0.245281	−	0.424838i
$967$	−0.771218	−	1.33579i	−0.0248007	−	0.0429561i	0.853359	−	0.521324i	$-0.174562\pi$
$967$	−0.771218	−	1.33579i	−0.0248007	−	0.0429561i	−0.878159	+	0.478368i	$0.841228\pi$
$968$	7.88343	−	75.0058i	0.253383	−	2.41078i
$969$	−0.766759	+	0.557083i	−0.0246318	+	0.0178961i
$970$	6.78232	+	64.5295i	0.217767	+	2.07192i
$971$	26.9798	+	29.9641i	0.865822	+	0.961593i	0.999567	−	0.0294231i	$-0.00936703\pi$
$971$	26.9798	+	29.9641i	0.865822	+	0.961593i	−0.133745	+	0.991016i	$0.542700\pi$
$972$	−52.1670	+	23.2263i	−1.67326	+	0.744983i
$973$	−56.3720	+	11.9822i	−1.80720	+	0.384133i
$974$	−5.19281	−	1.10377i	−0.166388	−	0.0353669i
$975$	−1.77417	−	0.789913i	−0.0568190	−	0.0252974i
$976$	33.9713	+	104.553i	1.08740	+	3.34666i
$977$	5.14444	+	15.8330i	0.164585	+	0.506541i	0.999005	−	0.0445876i	$-0.0141974\pi$
$977$	5.14444	+	15.8330i	0.164585	+	0.506541i	−0.834420	+	0.551129i	$0.814197\pi$
$978$	1.49372	+	0.665047i	0.0477639	+	0.0212659i
$979$	2.60234	+	0.553145i	0.0831713	+	0.0176786i
$980$	−38.6558	+	8.21653i	−1.23481	+	0.262468i
$981$	−19.2334	+	8.56325i	−0.614074	+	0.273404i
$982$	−52.8547	−	58.7011i	−1.68666	−	1.87323i
$983$	3.15425	+	30.0107i	0.100605	+	0.957193i	0.922093	+	0.386968i	$0.126477\pi$
$983$	3.15425	+	30.0107i	0.100605	+	0.957193i	−0.821488	+	0.570225i	$0.806856\pi$
$984$	34.1580	−	24.8173i	1.08892	−	0.791146i
$985$	−3.39358	+	32.2878i	−0.108129	+	1.02877i
$986$	35.5019	+	61.4911i	1.13061	+	1.95828i
$987$	1.45095	−	2.51312i	0.0461842	−	0.0799933i
$988$	−1.18208	−	0.858833i	−0.0376070	−	0.0273231i
$989$	10.2500	−	11.3838i	0.325933	−	0.361985i
$990$	2.34259	−	7.20974i	0.0744523	−	0.229141i
$991$	−6.95014			−0.220778			−0.110389	−	0.993888i	$-0.535210\pi$
$991$	−6.95014			−0.220778			−0.110389	+	0.993888i	$0.535210\pi$
$992$	37.5012	+	26.8018i	1.19066	+	0.850957i
$993$	−12.7477			−0.404536
$994$	21.7805	−	67.0335i	0.690835	−	2.12617i
$995$	−34.6248	+	38.4547i	−1.09768	+	1.21910i
$996$	0.172398	+	0.125254i	0.00546263	+	0.00396883i
$997$	−8.84532	+	15.3206i	−0.280134	+	0.485207i	−0.971418	−	0.237377i	$-0.923712\pi$
$997$	−8.84532	+	15.3206i	−0.280134	+	0.485207i	0.691283	+	0.722584i	$0.257046\pi$
$998$	−21.2969	−	36.8873i	−0.674141	−	1.16765i
$999$	−0.401353	+	3.81862i	−0.0126983	+	0.120816i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	403.2.bi.b.14.16	✓	136
31.20	even	15	inner	403.2.bi.b.144.16	yes	136

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
403.2.bi.b.14.16	✓	136	1.1	even	1	trivial
403.2.bi.b.144.16	yes	136	31.20	even	15	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:	\( N \)	\(=\)	\( 403 = 13 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	403.bi (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.798897 - 2.45875i) q^{2} +(-0.340489 + 0.378151i) q^{3} +(-3.78920 - 2.75301i) q^{4} +(-1.48464 + 2.57146i) q^{5} +(0.657765 + 1.13928i) q^{6} +(-0.327920 + 3.11995i) q^{7} +(-5.61307 + 4.07814i) q^{8} +(0.286520 + 2.72605i) q^{9} +O(q^{10})\)	\(q+(0.798897 - 2.45875i) q^{2} +(-0.340489 + 0.378151i) q^{3} +(-3.78920 - 2.75301i) q^{4} +(-1.48464 + 2.57146i) q^{5} +(0.657765 + 1.13928i) q^{6} +(-0.327920 + 3.11995i) q^{7} +(-5.61307 + 4.07814i) q^{8} +(0.286520 + 2.72605i) q^{9} +(5.13652 + 5.70469i) q^{10} +(-0.329128 + 0.146537i) q^{11} +(2.33123 - 0.495519i) q^{12} +(-0.978148 - 0.207912i) q^{13} +(7.40922 + 3.29880i) q^{14} +(-0.466901 - 1.43697i) q^{15} +(2.64817 + 8.15024i) q^{16} +(-5.45429 - 2.42841i) q^{17} +(6.93159 + 1.47336i) q^{18} +(-0.305144 + 0.0648604i) q^{19} +(12.7048 - 5.65656i) q^{20} +(-1.06816 - 1.18631i) q^{21} +(0.0973595 + 0.926313i) q^{22} +(-2.98885 + 2.17153i) q^{23} +(0.369037 - 3.51115i) q^{24} +(-1.90829 - 3.30525i) q^{25} +(-1.29264 + 2.23892i) q^{26} +(-2.36343 - 1.71713i) q^{27} +(9.83183 - 10.9193i) q^{28} +(1.42150 - 4.37493i) q^{29} -3.90617 q^{30} +(4.52981 + 3.23741i) q^{31} +8.27876 q^{32} +(0.0566513 - 0.174355i) q^{33} +(-10.3283 + 11.4707i) q^{34} +(-7.53601 - 5.47523i) q^{35} +(6.41918 - 11.1183i) q^{36} +(-0.657170 - 1.13825i) q^{37} +(-0.0843032 + 0.802091i) q^{38} +(0.411671 - 0.299096i) q^{39} +(-2.15341 - 20.4884i) q^{40} +(8.00223 + 8.88738i) q^{41} +(-3.77020 + 1.67860i) q^{42} +(-4.05576 + 0.862079i) q^{43} +(1.65055 + 0.350835i) q^{44} +(-7.43533 - 3.31042i) q^{45} +(2.95147 + 9.08368i) q^{46} +(0.561743 + 1.72887i) q^{47} +(-3.98370 - 1.77366i) q^{48} +(-2.77955 - 0.590812i) q^{49} +(-9.65131 + 2.05145i) q^{50} +(2.77543 - 1.23570i) q^{51} +(3.13401 + 3.48067i) q^{52} +(1.23690 + 11.7683i) q^{53} +(-6.11014 + 4.43928i) q^{54} +(0.111820 - 1.06390i) q^{55} +(-10.8830 - 18.8498i) q^{56} +(0.0793712 - 0.137475i) q^{57} +(-9.62125 - 6.99025i) q^{58} +(1.11464 - 1.23794i) q^{59} +(-2.18682 + 6.73035i) q^{60} +12.8282 q^{61} +(11.5788 - 8.55132i) q^{62} -8.59912 q^{63} +(1.31753 - 4.05495i) q^{64} +(1.98683 - 2.20660i) q^{65} +(-0.383436 - 0.278583i) q^{66} +(5.66266 - 9.80802i) q^{67} +(13.9819 + 24.2174i) q^{68} +(0.196505 - 1.86962i) q^{69} +(-19.4827 + 14.1550i) q^{70} +(-0.908400 - 8.64285i) q^{71} +(-12.7255 - 14.1331i) q^{72} +(-1.78618 + 0.795260i) q^{73} +(-3.32369 + 0.706472i) q^{74} +(1.89963 + 0.403780i) q^{75} +(1.33481 + 0.594297i) q^{76} +(-0.349262 - 1.07492i) q^{77} +(-0.406521 - 1.25114i) q^{78} +(-10.1907 - 4.53720i) q^{79} +(-24.8896 - 5.29045i) q^{80} +(-6.58945 + 1.40063i) q^{81} +(28.2448 - 12.5754i) q^{82} +(0.0598278 + 0.0664455i) q^{83} +(0.781538 + 7.43584i) q^{84} +(14.3422 - 10.4202i) q^{85} +(-1.12050 + 10.6608i) q^{86} +(1.17038 + 2.02716i) q^{87} +(1.24982 - 2.16475i) q^{88} +(-5.97424 - 4.34054i) q^{89} +(-14.0796 + 15.6369i) q^{90} +(0.969430 - 2.98360i) q^{91} +17.3036 q^{92} +(-2.76658 + 0.610650i) q^{93} +4.69964 q^{94} +(0.286242 - 0.880961i) q^{95} +(-2.81883 + 3.13062i) q^{96} +(6.83822 + 4.96826i) q^{97} +(-3.67324 + 6.36223i) q^{98} +(-0.493770 - 0.855235i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 136 q - 6 q^{2} + 2 q^{3} - 34 q^{4} - 15 q^{5} - 10 q^{6} - 8 q^{7} - 6 q^{8} + 23 q^{9}+O(q^{10}) \) 136 * q - 6 * q^2 + 2 * q^3 - 34 * q^4 - 15 * q^5 - 10 * q^6 - 8 * q^7 - 6 * q^8 + 23 * q^9	\( 136 q - 6 q^{2} + 2 q^{3} - 34 q^{4} - 15 q^{5} - 10 q^{6} - 8 q^{7} - 6 q^{8} + 23 q^{9} + 7 q^{10} + 5 q^{11} + 28 q^{12} + 17 q^{13} - 3 q^{14} + 17 q^{15} - 78 q^{16} - 12 q^{17} + 34 q^{18} - 23 q^{19} + 8 q^{20} - 38 q^{21} + 8 q^{22} + 9 q^{23} + 46 q^{24} - 69 q^{25} - 12 q^{26} - 58 q^{27} + 7 q^{28} + 18 q^{29} + 60 q^{30} + 14 q^{31} + 212 q^{32} - 41 q^{33} - 30 q^{35} - 106 q^{36} + 6 q^{37} - 62 q^{38} + 6 q^{39} + 39 q^{40} - 5 q^{41} + 37 q^{42} + q^{43} - 88 q^{44} - 168 q^{45} + 6 q^{46} - 81 q^{47} - 101 q^{48} + 117 q^{49} - 20 q^{50} + 35 q^{51} + 7 q^{52} + 25 q^{53} + 57 q^{54} + 19 q^{55} - 63 q^{56} - 20 q^{57} - 44 q^{58} + 9 q^{59} + 113 q^{60} + 8 q^{61} + 57 q^{62} + 112 q^{63} - 146 q^{64} - 5 q^{65} + 70 q^{66} - 99 q^{67} - 56 q^{68} - 65 q^{69} + 169 q^{70} - q^{71} - 43 q^{72} + 50 q^{73} - 26 q^{74} - 18 q^{75} - 94 q^{76} + 114 q^{77} - 17 q^{79} + 217 q^{80} + 54 q^{81} - 25 q^{82} - 53 q^{83} - 22 q^{84} + 2 q^{85} - 54 q^{86} - 28 q^{87} + 70 q^{88} - 101 q^{89} + 165 q^{90} - 4 q^{91} + 64 q^{92} + 61 q^{93} - 90 q^{94} - 33 q^{95} - 217 q^{96} + 73 q^{97} + 33 q^{98} - 15 q^{99}+O(q^{100}) \) 136 * q - 6 * q^2 + 2 * q^3 - 34 * q^4 - 15 * q^5 - 10 * q^6 - 8 * q^7 - 6 * q^8 + 23 * q^9 + 7 * q^10 + 5 * q^11 + 28 * q^12 + 17 * q^13 - 3 * q^14 + 17 * q^15 - 78 * q^16 - 12 * q^17 + 34 * q^18 - 23 * q^19 + 8 * q^20 - 38 * q^21 + 8 * q^22 + 9 * q^23 + 46 * q^24 - 69 * q^25 - 12 * q^26 - 58 * q^27 + 7 * q^28 + 18 * q^29 + 60 * q^30 + 14 * q^31 + 212 * q^32 - 41 * q^33 - 30 * q^35 - 106 * q^36 + 6 * q^37 - 62 * q^38 + 6 * q^39 + 39 * q^40 - 5 * q^41 + 37 * q^42 + q^43 - 88 * q^44 - 168 * q^45 + 6 * q^46 - 81 * q^47 - 101 * q^48 + 117 * q^49 - 20 * q^50 + 35 * q^51 + 7 * q^52 + 25 * q^53 + 57 * q^54 + 19 * q^55 - 63 * q^56 - 20 * q^57 - 44 * q^58 + 9 * q^59 + 113 * q^60 + 8 * q^61 + 57 * q^62 + 112 * q^63 - 146 * q^64 - 5 * q^65 + 70 * q^66 - 99 * q^67 - 56 * q^68 - 65 * q^69 + 169 * q^70 - q^71 - 43 * q^72 + 50 * q^73 - 26 * q^74 - 18 * q^75 - 94 * q^76 + 114 * q^77 - 17 * q^79 + 217 * q^80 + 54 * q^81 - 25 * q^82 - 53 * q^83 - 22 * q^84 + 2 * q^85 - 54 * q^86 - 28 * q^87 + 70 * q^88 - 101 * q^89 + 165 * q^90 - 4 * q^91 + 64 * q^92 + 61 * q^93 - 90 * q^94 - 33 * q^95 - 217 * q^96 + 73 * q^97 + 33 * q^98 - 15 * q^99

Introduction

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