LMFDB - Embedded newform 98.2.e.b.15.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [98,2,Mod(15,98)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(98, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([10]))

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

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

chi := DirichletCharacter("98.15");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 98 = 2 \cdot 7^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	98.e (of order $7$, degree $6$, 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:	$0.782533939809$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{7})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} + \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} + 37 x^{16} + 557 x^{14} + 4495 x^{12} + 21331 x^{10} + 60904 x^{8} + 101893 x^{6} + 91665 x^{4} + \cdots + 5103 $ x^18 + 37x^16 + 557x^14 + 4495x^12 + 21331x^10 + 60904x^8 + 101893x^6 + 91665x^4 + 36855x^2 + 5103
Coefficient ring:	$\Z[a_1, \ldots, a_{7}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			15.2
Root			$2.46793i$ of defining polynomial
Character	$\chi$	$=$	98.15
Dual form			98.2.e.b.85.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.222521 - 0.974928i) q^{2} +(-0.234110 + 0.293565i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(1.33526 - 1.67436i) q^{5} +(0.234110 + 0.293565i) q^{6} +(0.635079 - 2.56840i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(0.636190 + 2.78733i) q^{9} +O(q^{10})$	\(q+(0.222521 - 0.974928i) q^{2} +(-0.234110 + 0.293565i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(1.33526 - 1.67436i) q^{5} +(0.234110 + 0.293565i) q^{6} +(0.635079 - 2.56840i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(0.636190 + 2.78733i) q^{9} +(-1.33526 - 1.67436i) q^{10} +(0.476549 - 2.08790i) q^{11} +(0.338299 - 0.162916i) q^{12} +(-1.27241 + 5.57477i) q^{13} +(-2.36269 - 1.19068i) q^{14} +(0.178936 + 0.783970i) q^{15} +(0.623490 + 0.781831i) q^{16} +(-4.41726 + 2.12724i) q^{17} +2.85901 q^{18} -2.06956 q^{19} +(-1.92951 + 0.929201i) q^{20} +(0.605313 + 0.787725i) q^{21} +(-1.92951 - 0.929201i) q^{22} +(5.70793 + 2.74879i) q^{23} +(-0.0835529 - 0.366069i) q^{24} +(0.0920327 + 0.403222i) q^{25} +(5.15187 + 2.48101i) q^{26} +(-1.98210 - 0.954528i) q^{27} +(-1.68657 + 2.03850i) q^{28} +(7.15903 - 3.44761i) q^{29} +0.804132 q^{30} -6.61182 q^{31} +(0.900969 - 0.433884i) q^{32} +(0.501368 + 0.628695i) q^{33} +(1.09097 + 4.77987i) q^{34} +(-3.45244 - 4.49283i) q^{35} +(0.636190 - 2.78733i) q^{36} +(-3.69774 + 1.78074i) q^{37} +(-0.460520 + 2.01767i) q^{38} +(-1.33867 - 1.67864i) q^{39} +(0.476549 + 2.08790i) q^{40} +(3.90741 - 4.89973i) q^{41} +(0.902670 - 0.414851i) q^{42} +(-3.22529 - 4.04438i) q^{43} +(-1.33526 + 1.67436i) q^{44} +(5.51648 + 2.65660i) q^{45} +(3.95001 - 4.95316i) q^{46} +(-0.273445 + 1.19804i) q^{47} -0.375483 q^{48} +(-6.19335 - 3.26227i) q^{49} +0.413591 q^{50} +(0.409643 - 1.79476i) q^{51} +(3.56520 - 4.47062i) q^{52} +(-6.88773 - 3.31695i) q^{53} +(-1.37165 + 1.72000i) q^{54} +(-2.85958 - 3.58580i) q^{55} +(1.61209 + 2.09790i) q^{56} +(0.484504 - 0.607549i) q^{57} +(-1.76813 - 7.74670i) q^{58} +(-1.71532 - 2.15094i) q^{59} +(0.178936 - 0.783970i) q^{60} +(8.50307 - 4.09486i) q^{61} +(-1.47127 + 6.44605i) q^{62} +(7.56301 + 0.136185i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(7.63520 + 9.57424i) q^{65} +(0.724498 - 0.348900i) q^{66} +0.393812 q^{67} +4.90279 q^{68} +(-2.14323 + 1.03213i) q^{69} +(-5.14843 + 2.36613i) q^{70} +(11.3490 + 5.46539i) q^{71} +(-2.57588 - 1.24048i) q^{72} +(0.959790 + 4.20511i) q^{73} +(0.913265 + 4.00128i) q^{74} +(-0.139917 - 0.0673807i) q^{75} +(1.86461 + 0.897948i) q^{76} +(-5.05990 - 2.54995i) q^{77} +(-1.93444 + 0.931577i) q^{78} -12.1474 q^{79} +2.14159 q^{80} +(-6.98340 + 3.36303i) q^{81} +(-3.90741 - 4.89973i) q^{82} +(-1.51526 - 6.63881i) q^{83} +(-0.203587 - 0.972351i) q^{84} +(-2.33642 + 10.2365i) q^{85} +(-4.66068 + 2.24446i) q^{86} +(-0.663905 + 2.90876i) q^{87} +(1.33526 + 1.67436i) q^{88} +(0.216516 + 0.948617i) q^{89} +(3.81752 - 4.78702i) q^{90} +(13.5102 + 6.80847i) q^{91} +(-3.95001 - 4.95316i) q^{92} +(1.54789 - 1.94100i) q^{93} +(1.10716 + 0.533178i) q^{94} +(-2.76340 + 3.46519i) q^{95} +(-0.0835529 + 0.366069i) q^{96} +3.19583 q^{97} +(-4.55863 + 5.31215i) q^{98} +6.12283 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9}+O(q^{10}) $ 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9	\( 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9} + 7 q^{11} + 2 q^{12} - 10 q^{13} + q^{14} + 7 q^{15} - 3 q^{16} + q^{17} - 32 q^{18} - 44 q^{19} + 7 q^{20} - 5 q^{21} + 7 q^{22} + 21 q^{23} - 2 q^{24} + q^{25} + 3 q^{26} + 10 q^{27} - 8 q^{28} + 11 q^{29} - 24 q^{31} + 3 q^{32} - 14 q^{33} - q^{34} - 21 q^{35} - 10 q^{36} - 13 q^{37} - 19 q^{38} - 3 q^{39} + 7 q^{40} + 8 q^{41} + 61 q^{42} - 24 q^{43} + 98 q^{45} + 21 q^{46} + 40 q^{47} + 2 q^{48} - 43 q^{49} - 50 q^{50} + 36 q^{51} + 18 q^{52} + 10 q^{53} + 4 q^{54} + 49 q^{55} + q^{56} + 19 q^{57} + 24 q^{58} + 13 q^{59} + 7 q^{60} + 27 q^{61} - 11 q^{62} + 41 q^{63} - 3 q^{64} - 21 q^{66} - 86 q^{67} - 34 q^{68} - 91 q^{69} - 14 q^{70} + 3 q^{72} + 5 q^{73} + 13 q^{74} - 3 q^{75} - 2 q^{76} - 14 q^{77} + 38 q^{78} - 66 q^{79} - 2 q^{81} - 8 q^{82} + 55 q^{83} + 23 q^{84} - 49 q^{85} - 18 q^{86} - 110 q^{87} + 62 q^{89} + 21 q^{90} + 39 q^{91} - 21 q^{92} + 46 q^{93} + 23 q^{94} - 7 q^{95} - 2 q^{96} - 32 q^{97} - 48 q^{98} + 14 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9 + 7 * q^11 + 2 * q^12 - 10 * q^13 + q^14 + 7 * q^15 - 3 * q^16 + q^17 - 32 * q^18 - 44 * q^19 + 7 * q^20 - 5 * q^21 + 7 * q^22 + 21 * q^23 - 2 * q^24 + q^25 + 3 * q^26 + 10 * q^27 - 8 * q^28 + 11 * q^29 - 24 * q^31 + 3 * q^32 - 14 * q^33 - q^34 - 21 * q^35 - 10 * q^36 - 13 * q^37 - 19 * q^38 - 3 * q^39 + 7 * q^40 + 8 * q^41 + 61 * q^42 - 24 * q^43 + 98 * q^45 + 21 * q^46 + 40 * q^47 + 2 * q^48 - 43 * q^49 - 50 * q^50 + 36 * q^51 + 18 * q^52 + 10 * q^53 + 4 * q^54 + 49 * q^55 + q^56 + 19 * q^57 + 24 * q^58 + 13 * q^59 + 7 * q^60 + 27 * q^61 - 11 * q^62 + 41 * q^63 - 3 * q^64 - 21 * q^66 - 86 * q^67 - 34 * q^68 - 91 * q^69 - 14 * q^70 + 3 * q^72 + 5 * q^73 + 13 * q^74 - 3 * q^75 - 2 * q^76 - 14 * q^77 + 38 * q^78 - 66 * q^79 - 2 * q^81 - 8 * q^82 + 55 * q^83 + 23 * q^84 - 49 * q^85 - 18 * q^86 - 110 * q^87 + 62 * q^89 + 21 * q^90 + 39 * q^91 - 21 * q^92 + 46 * q^93 + 23 * q^94 - 7 * q^95 - 2 * q^96 - 32 * q^97 - 48 * q^98 + 14 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/98\mathbb{Z}\right)^\times$.

$n$	$3$
$\chi(n)$	$e\left(\frac{5}{7}\right)$

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 $

$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$2$	0.222521	−	0.974928i	0.157346	−	0.689378i
$3$	−0.234110	+	0.293565i	−0.135164	+	0.169490i	−0.844807	−	0.535071i	$-0.820285\pi$
$3$	−0.234110	+	0.293565i	−0.135164	+	0.169490i	0.709643	+	0.704561i	$0.248856\pi$
$4$	−0.900969	−	0.433884i	−0.450484	−	0.216942i
$5$	1.33526	−	1.67436i	0.597146	−	0.748798i	−0.387784	−	0.921750i	$-0.626759\pi$
$5$	1.33526	−	1.67436i	0.597146	−	0.748798i	0.984930	+	0.172953i	$0.0553307\pi$
$6$	0.234110	+	0.293565i	0.0955750	+	0.119847i
$7$	0.635079	−	2.56840i	0.240037	−	0.970764i
$7$	0.635079	−	2.56840i	0.240037	−	0.970764i
$8$	−0.623490	+	0.781831i	−0.220437	+	0.276419i
$9$	0.636190	+	2.78733i	0.212063	+	0.929110i
$10$	−1.33526	−	1.67436i	−0.422246	−	0.529480i
$11$	0.476549	−	2.08790i	0.143685	−	0.629524i	−0.850876	−	0.525367i	$-0.823928\pi$
$11$	0.476549	−	2.08790i	0.143685	−	0.629524i	0.994561	−	0.104158i	$-0.0332147\pi$
$12$	0.338299	−	0.162916i	0.0976585	−	0.0470298i
$13$	−1.27241	+	5.57477i	−0.352902	+	1.54616i	0.417543	+	0.908657i	$0.362891\pi$
$13$	−1.27241	+	5.57477i	−0.352902	+	1.54616i	−0.770445	+	0.637507i	$0.779966\pi$
$14$	−2.36269	−	1.19068i	−0.631454	−	0.318222i
$15$	0.178936	+	0.783970i	0.0462011	+	0.202420i
$16$	0.623490	+	0.781831i	0.155872	+	0.195458i
$17$	−4.41726	+	2.12724i	−1.07134	+	0.515932i	−0.884540	−	0.466465i	$-0.845527\pi$
$17$	−4.41726	+	2.12724i	−1.07134	+	0.515932i	−0.186804	+	0.982397i	$0.559813\pi$
$18$	2.85901			0.673876
$19$	−2.06956			−0.474789			−0.237395	−	0.971413i	$-0.576293\pi$
$19$	−2.06956			−0.474789			−0.237395	+	0.971413i	$0.576293\pi$
$20$	−1.92951	+	0.929201i	−0.431451	+	0.207776i
$21$	0.605313	+	0.787725i	0.132090	+	0.171896i
$22$	−1.92951	−	0.929201i	−0.411372	−	0.198106i
$23$	5.70793	+	2.74879i	1.19019	+	0.573163i	0.920863	−	0.389887i	$-0.127486\pi$
$23$	5.70793	+	2.74879i	1.19019	+	0.573163i	0.269323	+	0.963050i	$0.413200\pi$
$24$	−0.0835529	−	0.366069i	−0.0170552	−	0.0747236i
$25$	0.0920327	+	0.403222i	0.0184065	+	0.0806444i
$26$	5.15187	+	2.48101i	1.01036	+	0.486566i
$27$	−1.98210	−	0.954528i	−0.381455	−	0.183699i
$28$	−1.68657	+	2.03850i	−0.318732	+	0.385240i
$29$	7.15903	−	3.44761i	1.32940	−	0.640204i	0.371800	−	0.928313i	$-0.378741\pi$
$29$	7.15903	−	3.44761i	1.32940	−	0.640204i	0.957598	+	0.288108i	$0.0930263\pi$
$30$	0.804132			0.146814
$31$	−6.61182			−1.18752			−0.593759	−	0.804643i	$-0.702357\pi$
$31$	−6.61182			−1.18752			−0.593759	+	0.804643i	$0.702357\pi$
$32$	0.900969	−	0.433884i	0.159270	−	0.0767005i
$33$	0.501368	+	0.628695i	0.0872769	+	0.109442i
$34$	1.09097	+	4.77987i	0.187100	+	0.819741i
$35$	−3.45244	−	4.49283i	−0.583568	−	0.759427i
$36$	0.636190	−	2.78733i	0.106032	−	0.464555i
$37$	−3.69774	+	1.78074i	−0.607904	+	0.292751i	−0.712399	−	0.701774i	$-0.752392\pi$
$37$	−3.69774	+	1.78074i	−0.607904	+	0.292751i	0.104495	+	0.994525i	$0.466677\pi$
$38$	−0.460520	+	2.01767i	−0.0747062	+	0.327309i
$39$	−1.33867	−	1.67864i	−0.214359	−	0.268798i
$40$	0.476549	+	2.08790i	0.0753490	+	0.330125i
$41$	3.90741	−	4.89973i	0.610234	−	0.765210i	−0.376699	−	0.926336i	$-0.622941\pi$
$41$	3.90741	−	4.89973i	0.610234	−	0.765210i	0.986934	+	0.161126i	$0.0515125\pi$
$42$	0.902670	−	0.414851i	0.139285	−	0.0640130i
$43$	−3.22529	−	4.04438i	−0.491852	−	0.616763i	0.472518	−	0.881321i	$-0.343345\pi$
$43$	−3.22529	−	4.04438i	−0.491852	−	0.616763i	−0.964370	+	0.264558i	$0.914774\pi$
$44$	−1.33526	+	1.67436i	−0.201298	+	0.252420i
$45$	5.51648	+	2.65660i	0.822349	+	0.396022i
$46$	3.95001	−	4.95316i	0.582397	−	0.730303i
$47$	−0.273445	+	1.19804i	−0.0398861	+	0.174752i	−0.990948	−	0.134249i	$-0.957138\pi$
$47$	−0.273445	+	1.19804i	−0.0398861	+	0.174752i	0.951062	+	0.309002i	$0.0999948\pi$
$48$	−0.375483			−0.0541964
$49$	−6.19335	−	3.26227i	−0.884764	−	0.466039i
$50$	0.413591			0.0584907
$51$	0.409643	−	1.79476i	0.0573614	−	0.251317i
$52$	3.56520	−	4.47062i	0.494405	−	0.619964i
$53$	−6.88773	−	3.31695i	−0.946102	−	0.455619i	−0.103784	−	0.994600i	$-0.533095\pi$
$53$	−6.88773	−	3.31695i	−0.946102	−	0.455619i	−0.842318	+	0.538981i	$0.818809\pi$
$54$	−1.37165	+	1.72000i	−0.186658	+	0.234062i
$55$	−2.85958	−	3.58580i	−0.385586	−	0.483509i
$56$	1.61209	+	2.09790i	0.215425	+	0.280343i
$57$	0.484504	−	0.607549i	0.0641742	−	0.0804719i
$58$	−1.76813	−	7.74670i	−0.232167	−	1.01719i
$59$	−1.71532	−	2.15094i	−0.223315	−	0.280028i	0.657535	−	0.753424i	$-0.271599\pi$
$59$	−1.71532	−	2.15094i	−0.223315	−	0.280028i	−0.880850	+	0.473396i	$0.843028\pi$
$60$	0.178936	−	0.783970i	0.0231006	−	0.101210i
$61$	8.50307	−	4.09486i	1.08871	−	0.524293i	0.198616	−	0.980077i	$-0.436355\pi$
$61$	8.50307	−	4.09486i	1.08871	−	0.524293i	0.890090	+	0.455784i	$0.150641\pi$
$62$	−1.47127	+	6.44605i	−0.186851	+	0.818650i
$63$	7.56301	+	0.136185i	0.952850	+	0.0171577i
$64$	−0.222521	−	0.974928i	−0.0278151	−	0.121866i
$65$	7.63520	+	9.57424i	0.947030	+	1.18754i
$66$	0.724498	−	0.348900i	0.0891795	−	0.0429466i
$67$	0.393812			0.0481118			0.0240559	−	0.999711i	$-0.492342\pi$
$67$	0.393812			0.0481118			0.0240559	+	0.999711i	$0.492342\pi$
$68$	4.90279			0.594551
$69$	−2.14323	+	1.03213i	−0.258015	+	0.124253i
$70$	−5.14843	+	2.36613i	−0.615355	+	0.282806i
$71$	11.3490	+	5.46539i	1.34688	+	0.648622i	0.961670	−	0.274208i	$-0.0884157\pi$
$71$	11.3490	+	5.46539i	1.34688	+	0.648622i	0.385207	+	0.922830i	$0.374130\pi$
$72$	−2.57588	−	1.24048i	−0.303570	−	0.146192i
$73$	0.959790	+	4.20511i	0.112335	+	0.492171i	0.999526	+	0.0307701i	$0.00979597\pi$
$73$	0.959790	+	4.20511i	0.112335	+	0.492171i	−0.887192	+	0.461401i	$0.847347\pi$
$74$	0.913265	+	4.00128i	0.106165	+	0.465139i
$75$	−0.139917	−	0.0673807i	−0.0161563	−	0.00778045i
$76$	1.86461	+	0.897948i	0.213885	+	0.103002i
$77$	−5.05990	−	2.54995i	−0.576630	−	0.290593i
$78$	−1.93444	+	0.931577i	−0.219032	+	0.105480i
$79$	−12.1474			−1.36669			−0.683344	−	0.730097i	$-0.739475\pi$
$79$	−12.1474			−1.36669			−0.683344	+	0.730097i	$0.739475\pi$
$80$	2.14159			0.239437
$81$	−6.98340	+	3.36303i	−0.775933	+	0.373670i
$82$	−3.90741	−	4.89973i	−0.431501	−	0.541085i
$83$	−1.51526	−	6.63881i	−0.166322	−	0.728704i	−0.987446	−	0.157955i	$-0.949510\pi$
$83$	−1.51526	−	6.63881i	−0.166322	−	0.728704i	0.821124	−	0.570749i	$-0.193347\pi$
$84$	−0.203587	−	0.972351i	−0.0222132	−	0.106092i
$85$	−2.33642	+	10.2365i	−0.253420	+	1.11031i
$86$	−4.66068	+	2.24446i	−0.502574	+	0.242027i
$87$	−0.663905	+	2.90876i	−0.0711781	+	0.311852i
$88$	1.33526	+	1.67436i	0.142339	+	0.178488i
$89$	0.216516	+	0.948617i	0.0229506	+	0.100553i	0.985106	−	0.171948i	$-0.0550062\pi$
$89$	0.216516	+	0.948617i	0.0229506	+	0.100553i	−0.962155	+	0.272501i	$0.912149\pi$
$90$	3.81752	−	4.78702i	0.402402	−	0.504597i
$91$	13.5102	+	6.80847i	1.41625	+	0.713721i
$92$	−3.95001	−	4.95316i	−0.411817	−	0.516402i
$93$	1.54789	−	1.94100i	0.160509	−	0.201272i
$94$	1.10716	+	0.533178i	0.114194	+	0.0549931i
$95$	−2.76340	+	3.46519i	−0.283519	+	0.355521i
$96$	−0.0835529	+	0.366069i	−0.00852758	+	0.0373618i
$97$	3.19583			0.324487			0.162244	−	0.986751i	$-0.448127\pi$
$97$	3.19583			0.324487			0.162244	+	0.986751i	$0.448127\pi$
$98$	−4.55863	+	5.31215i	−0.460491	+	0.536608i
$99$	6.12283			0.615368
$100$	0.0920327	−	0.403222i	0.00920327	−	0.0403222i
$101$	−3.02507	+	3.79332i	−0.301006	+	0.377449i	−0.909215	−	0.416328i	$-0.863317\pi$
$101$	−3.02507	+	3.79332i	−0.301006	+	0.377449i	0.608209	+	0.793777i	$0.291888\pi$
$102$	−1.65861	−	0.798744i	−0.164227	−	0.0790874i
$103$	−8.72276	+	10.9380i	−0.859479	+	1.07775i	0.136717	+	0.990610i	$0.456345\pi$
$103$	−8.72276	+	10.9380i	−0.859479	+	1.07775i	−0.996196	+	0.0871427i	$0.972226\pi$
$104$	−3.56520	−	4.47062i	−0.349597	−	0.438381i
$105$	2.12719	+	0.0383037i	0.207592	+	0.00373806i
$106$	−4.76646	+	5.97695i	−0.462959	+	0.580532i
$107$	−1.20151	−	5.26414i	−0.116154	−	0.508904i	−0.999214	−	0.0396436i	$-0.987378\pi$
$107$	−1.20151	−	5.26414i	−0.116154	−	0.508904i	0.883060	−	0.469260i	$-0.155479\pi$
$108$	1.37165	+	1.72000i	0.131987	+	0.165507i
$109$	1.00373	−	4.39765i	0.0961403	−	0.421218i	−0.903838	−	0.427876i	$-0.859262\pi$
$109$	1.00373	−	4.39765i	0.0961403	−	0.421218i	0.999978	+	0.00665767i	$0.00211922\pi$
$110$	−4.13221	+	1.98997i	−0.393991	+	0.189736i
$111$	0.342916	−	1.50241i	0.0325481	−	0.142603i
$112$	2.40402	−	1.10485i	0.227159	−	0.104398i
$113$	−2.87964	−	12.6165i	−0.270894	−	1.18686i	−0.908960	−	0.416882i	$-0.863123\pi$
$113$	−2.87964	−	12.6165i	−0.270894	−	1.18686i	0.638067	−	0.769981i	$-0.279734\pi$
$114$	−0.484504	−	0.607549i	−0.0453780	−	0.0569022i
$115$	12.2240	−	5.88679i	1.13990	−	0.548946i
$116$	−7.94592			−0.737760
$117$	−16.3482			−1.51139
$118$	−2.47870	+	1.19368i	−0.228183	+	0.109887i
$119$	2.65830	+	12.6963i	0.243686	+	1.16386i
$120$	−0.724498	−	0.348900i	−0.0661373	−	0.0318500i
$121$	5.77845	+	2.78275i	0.525313	+	0.252978i
$122$	−2.10008	−	9.20107i	−0.190133	−	0.833026i
$123$	0.523626	+	2.29415i	0.0472137	+	0.206857i
$124$	5.95705	+	2.86876i	0.534959	+	0.257623i
$125$	10.4456	+	5.03032i	0.934279	+	0.449925i
$126$	1.81570	−	7.34308i	0.161755	−	0.654174i
$127$	−11.9349	+	5.74754i	−1.05905	+	0.510011i	−0.880562	−	0.473931i	$-0.842835\pi$
$127$	−11.9349	+	5.74754i	−1.05905	+	0.510011i	−0.178488	+	0.983942i	$0.557120\pi$
$128$	−1.00000			−0.0883883
$129$	1.94236			0.171015
$130$	11.0332	−	5.31330i	0.967674	−	0.466007i
$131$	−7.04002	−	8.82791i	−0.615089	−	0.771298i	0.372555	−	0.928010i	$-0.378482\pi$
$131$	−7.04002	−	8.82791i	−0.615089	−	0.771298i	−0.987644	+	0.156712i	$0.949910\pi$
$132$	−0.178936	−	0.783970i	−0.0155744	−	0.0682359i
$133$	−1.31433	+	5.31545i	−0.113967	+	0.460908i
$134$	0.0876314	−	0.383938i	0.00757020	−	0.0331672i
$135$	−4.24484	+	2.04421i	−0.365338	+	0.175937i
$136$	1.09097	−	4.77987i	0.0935502	−	0.409870i
$137$	5.02595	+	6.30235i	0.429396	+	0.538446i	0.948714	−	0.316135i	$-0.102385\pi$
$137$	5.02595	+	6.30235i	0.429396	+	0.538446i	−0.519318	+	0.854581i	$0.673814\pi$
$138$	0.529335	+	2.31917i	0.0450600	+	0.197421i
$139$	12.5608	−	15.7507i	1.06539	−	1.33596i	0.126414	−	0.991978i	$-0.459653\pi$
$139$	12.5608	−	15.7507i	1.06539	−	1.33596i	0.938977	−	0.343980i	$-0.111775\pi$
$140$	1.16117	+	5.54586i	0.0981369	+	0.468711i
$141$	−0.287686	−	0.360747i	−0.0242276	−	0.0303804i
$142$	7.85375	−	9.84829i	0.659072	−	0.826450i
$143$	11.0332	+	5.31330i	0.922641	+	0.444321i
$144$	−1.78256	+	2.23527i	−0.148547	+	0.186272i
$145$	3.78662	−	16.5903i	0.314462	−	1.37775i
$146$	4.31326			0.356968
$147$	2.40761	−	1.05442i	0.198577	−	0.0869669i
$148$	4.10418			0.337361
$149$	5.29244	−	23.1877i	0.433573	−	1.89961i	−0.00311401	−	0.999995i	$-0.500991\pi$
$149$	5.29244	−	23.1877i	0.433573	−	1.89961i	0.436687	−	0.899613i	$-0.356152\pi$
$150$	−0.0968259	+	0.121416i	−0.00790580	+	0.00991356i
$151$	20.1304	+	9.69430i	1.63819	+	0.788911i	0.999816	+	0.0191857i	$0.00610737\pi$
$151$	20.1304	+	9.69430i	1.63819	+	0.788911i	0.638375	+	0.769726i	$0.279607\pi$
$152$	1.29035	−	1.61805i	0.104661	−	0.131241i
$153$	−8.73955	−	10.9590i	−0.706550	−	0.885986i
$154$	−3.61195	+	4.36563i	−0.291059	+	0.351792i
$155$	−8.82850	+	11.0706i	−0.709122	+	0.889211i
$156$	0.477767	+	2.09324i	0.0382520	+	0.167593i
$157$	−5.98765	−	7.50827i	−0.477866	−	0.599225i	0.483212	−	0.875504i	$-0.339470\pi$
$157$	−5.98765	−	7.50827i	−0.477866	−	0.599225i	−0.961078	+	0.276278i	$0.910899\pi$
$158$	−2.70305	+	11.8428i	−0.215043	+	0.942164i
$159$	2.58623	−	1.24546i	0.205101	−	0.0987715i
$160$	0.476549	−	2.08790i	0.0376745	−	0.165063i
$161$	10.6850	−	12.9145i	0.842095	−	1.01781i
$162$	1.72476	+	7.55665i	0.135510	+	0.593707i
$163$	−3.35768	−	4.21040i	−0.262994	−	0.329784i	0.632749	−	0.774357i	$-0.281927\pi$
$163$	−3.35768	−	4.21040i	−0.262994	−	0.329784i	−0.895742	+	0.444574i	$0.853355\pi$
$164$	−5.64637	+	2.71915i	−0.440907	+	0.212330i
$165$	1.72212			0.134067
$166$	−6.80954			−0.528523
$167$	−19.0155	+	9.15740i	−1.47147	+	0.708621i	−0.986171	−	0.165730i	$-0.947002\pi$
$167$	−19.0155	+	9.15740i	−1.47147	+	0.708621i	−0.485295	+	0.874351i	$0.661288\pi$
$168$	−0.993275	−	0.0178856i	−0.0766328	−	0.00137991i
$169$	−17.7465	−	8.54626i	−1.36511	−	0.657405i
$170$	9.45997	+	4.55568i	0.725546	+	0.349405i
$171$	−1.31663	−	5.76854i	−0.100685	−	0.441132i
$172$	1.15109	+	5.04326i	0.0877699	+	0.384545i
$173$	−5.93072	−	2.85608i	−0.450904	−	0.217144i	0.194628	−	0.980877i	$-0.437650\pi$
$173$	−5.93072	−	2.85608i	−0.450904	−	0.217144i	−0.645532	+	0.763733i	$0.723364\pi$
$174$	2.68810	+	1.29452i	0.203784	+	0.0981372i
$175$	1.09408	+	0.0197008i	0.0827049	+	0.00148924i
$176$	1.92951	−	0.929201i	0.145442	−	0.0700412i
$177$	1.03301			0.0776460
$178$	0.973012			0.0729304
$179$	−6.48888	+	3.12488i	−0.485002	+	0.233565i	−0.660373	−	0.750938i	$-0.729602\pi$
$179$	−6.48888	+	3.12488i	−0.485002	+	0.233565i	0.175371	+	0.984502i	$0.443887\pi$
$180$	−3.81752	−	4.78702i	−0.284541	−	0.356804i
$181$	3.02351	+	13.2469i	0.224736	+	0.984631i	0.953860	+	0.300250i	$0.0970702\pi$
$181$	3.02351	+	13.2469i	0.224736	+	0.984631i	−0.729125	+	0.684381i	$0.760073\pi$
$182$	9.64406	−	11.6564i	0.714865	−	0.864031i
$183$	−0.788547	+	3.45485i	−0.0582910	+	0.255390i
$184$	−5.70793	+	2.74879i	−0.420794	+	0.202644i
$185$	−1.95584	+	8.56909i	−0.143796	+	0.630012i
$186$	−1.54789	−	1.94100i	−0.113497	−	0.142321i
$187$	2.33642	+	10.2365i	0.170856	+	0.748569i
$188$	0.766176	−	0.960754i	0.0558791	−	0.0700702i
$189$	−3.71040	+	4.48462i	−0.269892	+	0.326208i
$190$	2.76340	+	3.46519i	0.200478	+	0.251391i
$191$	−6.31408	+	7.91760i	−0.456871	+	0.572898i	−0.955902	−	0.293686i	$-0.905118\pi$
$191$	−6.31408	+	7.91760i	−0.456871	+	0.572898i	0.499031	+	0.866584i	$0.333689\pi$
$192$	0.338299	+	0.162916i	0.0244146	+	0.0117575i
$193$	−4.82600	+	6.05162i	−0.347383	+	0.435605i	−0.924573	−	0.381005i	$-0.875578\pi$
$193$	−4.82600	+	6.05162i	−0.347383	+	0.435605i	0.577189	+	0.816610i	$0.304149\pi$
$194$	0.711139	−	3.11570i	0.0510568	−	0.223694i
$195$	−4.59814			−0.329279
$196$	4.16457	+	5.62640i	0.297469	+	0.401886i
$197$	0.580883			0.0413862			0.0206931	−	0.999786i	$-0.493413\pi$
$197$	0.580883			0.0413862			0.0206931	+	0.999786i	$0.493413\pi$
$198$	1.36246	−	5.96932i	0.0968257	−	0.424221i
$199$	12.6059	−	15.8074i	0.893612	−	1.12055i	−0.0984928	−	0.995138i	$-0.531402\pi$
$199$	12.6059	−	15.8074i	0.893612	−	1.12055i	0.992104	−	0.125416i	$-0.0400264\pi$
$200$	−0.372633	−	0.179451i	−0.0263491	−	0.0126891i
$201$	−0.0921954	+	0.115609i	−0.00650296	+	0.00815445i
$202$	3.02507	+	3.79332i	0.212843	+	0.266897i
$203$	−4.30828	−	20.5767i	−0.302382	−	1.44420i
$204$	−1.14779	+	1.43929i	−0.0803616	+	0.100770i
$205$	−2.98653	−	13.0848i	−0.208588	−	0.913884i
$206$	8.72276	+	10.9380i	0.607744	+	0.762086i
$207$	−4.03047	+	17.6586i	−0.280137	+	1.22736i
$208$	−5.15187	+	2.48101i	−0.357218	+	0.172027i
$209$	−0.986245	+	4.32102i	−0.0682200	+	0.298891i
$210$	0.510687	−	2.06533i	0.0352408	−	0.142521i
$211$	2.13845	+	9.36914i	0.147217	+	0.644998i	0.993651	+	0.112505i	$0.0358876\pi$
$211$	2.13845	+	9.36914i	0.147217	+	0.644998i	−0.846434	+	0.532493i	$0.821255\pi$
$212$	4.76646	+	5.97695i	0.327362	+	0.410498i
$213$	−4.26136	+	2.05216i	−0.291983	+	0.140612i
$214$	−5.39952			−0.369104
$215$	−11.0784			−0.755538
$216$	1.98210	−	0.954528i	0.134865	−	0.0649474i
$217$	−4.19903	+	16.9818i	−0.285049	+	1.15280i
$218$	−4.06404	−	1.95714i	−0.275251	−	0.132554i
$219$	−1.45917	−	0.702699i	−0.0986015	−	0.0474840i
$220$	1.02057	+	4.47142i	0.0688069	+	0.301463i
$221$	−6.23834	−	27.3320i	−0.419636	−	1.83855i
$222$	−1.38844	−	0.668637i	−0.0931859	−	0.0448759i
$223$	24.9157	+	11.9988i	1.66848	+	0.803496i	0.998109	+	0.0614670i	$0.0195779\pi$
$223$	24.9157	+	11.9988i	1.66848	+	0.803496i	0.670368	+	0.742029i	$0.266136\pi$
$224$	−0.542200	−	2.58960i	−0.0362273	−	0.173025i
$225$	−1.06536	+	0.513051i	−0.0710241	+	0.0342034i
$226$	−12.9410			−0.860822
$227$	−3.81580			−0.253264			−0.126632	−	0.991950i	$-0.540417\pi$
$227$	−3.81580			−0.253264			−0.126632	+	0.991950i	$0.540417\pi$
$228$	−0.700129	+	0.337164i	−0.0463672	+	0.0223293i
$229$	13.0790	+	16.4006i	0.864287	+	1.08378i	0.995717	+	0.0924564i	$0.0294719\pi$
$229$	13.0790	+	16.4006i	0.864287	+	1.08378i	−0.131429	+	0.991326i	$0.541957\pi$
$230$	−3.01909	−	13.2275i	−0.199073	−	0.872196i
$231$	1.93315	−	0.888442i	0.127192	−	0.0584552i
$232$	−1.76813	+	7.74670i	−0.116084	+	0.508596i
$233$	−12.4483	+	5.99480i	−0.815518	+	0.392733i	−0.794664	−	0.607050i	$-0.792353\pi$
$233$	−12.4483	+	5.99480i	−0.815518	+	0.392733i	−0.0208540	+	0.999783i	$0.506639\pi$
$234$	−3.63782	+	15.9383i	−0.237812	+	1.04192i
$235$	1.64083	+	2.05754i	0.107036	+	0.134219i
$236$	0.612189	+	2.68218i	0.0398501	+	0.174595i
$237$	2.84382	−	3.56604i	0.184726	−	0.231639i
$238$	12.9695	+	0.233538i	0.840686	+	0.0151380i
$239$	4.35559	+	5.46173i	0.281740	+	0.353290i	0.902484	−	0.430722i	$-0.141741\pi$
$239$	4.35559	+	5.46173i	0.281740	+	0.353290i	−0.620745	+	0.784013i	$0.713170\pi$
$240$	−0.501368	+	0.628695i	−0.0323632	+	0.0405821i
$241$	−7.14484	−	3.44077i	−0.460239	−	0.221640i	0.189373	−	0.981905i	$-0.439354\pi$
$241$	−7.14484	−	3.44077i	−0.460239	−	0.221640i	−0.649612	+	0.760266i	$0.725069\pi$
$242$	3.99881	−	5.01435i	0.257053	−	0.322334i
$243$	2.11623	−	9.27181i	0.135756	−	0.594787i
$244$	−9.43769			−0.604186
$245$	−13.7320	+	6.01393i	−0.877303	+	0.384216i
$246$	2.35315			0.150032
$247$	2.63332	−	11.5373i	0.167554	−	0.734102i
$248$	4.12241	−	5.16933i	0.261773	−	0.328253i
$249$	2.30366	+	1.10938i	0.145988	+	0.0703043i
$250$	7.22855	−	9.06432i	0.457174	−	0.573278i
$251$	−0.807265	−	1.01228i	−0.0509541	−	0.0638944i	0.755701	−	0.654916i	$-0.227296\pi$
$251$	−0.807265	−	1.01228i	−0.0509541	−	0.0638944i	−0.806656	+	0.591022i	$0.798725\pi$
$252$	−6.75495	−	3.40417i	−0.425522	−	0.214442i
$253$	8.45930	−	10.6076i	0.531832	−	0.666896i
$254$	2.94767	+	12.9146i	0.184953	+	0.810334i
$255$	−2.45810	−	3.08236i	−0.153932	−	0.193025i
$256$	−0.222521	+	0.974928i	−0.0139076	+	0.0609330i
$257$	19.5751	−	9.42686i	1.22106	−	0.588032i	0.291454	−	0.956585i	$-0.405861\pi$
$257$	19.5751	−	9.42686i	1.22106	−	0.588032i	0.929607	+	0.368553i	$0.120147\pi$
$258$	0.432216	−	1.89366i	0.0269086	−	0.117894i
$259$	2.22529	+	10.6282i	0.138273	+	0.660402i
$260$	−2.72497	−	11.9389i	−0.168996	−	0.740418i
$261$	14.1641	+	17.7612i	0.876737	+	1.09939i
$262$	−10.1731	+	4.89912i	−0.628498	+	0.302669i
$263$	14.7617			0.910248			0.455124	−	0.890428i	$-0.349595\pi$
$263$	14.7617			0.910248			0.455124	+	0.890428i	$0.349595\pi$
$264$	−0.804132			−0.0494909
$265$	−14.7507	+	7.10356i	−0.906128	+	0.436368i
$266$	4.88972	+	2.46418i	0.299808	+	0.151089i
$267$	−0.329169	−	0.158519i	−0.0201448	−	0.00970123i
$268$	−0.354812	−	0.170869i	−0.0216736	−	0.0104375i
$269$	2.92899	+	12.8327i	0.178583	+	0.782425i	0.982285	+	0.187393i	$0.0600037\pi$
$269$	2.92899	+	12.8327i	0.178583	+	0.782425i	−0.803702	+	0.595032i	$0.797139\pi$
$270$	1.04839	+	4.59329i	0.0638029	+	0.279539i
$271$	13.5152	+	6.50857i	0.820989	+	0.395368i	0.796728	−	0.604338i	$-0.206562\pi$
$271$	13.5152	+	6.50857i	0.820989	+	0.395368i	0.0242613	+	0.999706i	$0.492277\pi$
$272$	−4.41726	−	2.12724i	−0.267836	−	0.128983i
$273$	−5.16159	+	2.37218i	−0.312394	+	0.143571i
$274$	7.26271	−	3.49754i	0.438757	−	0.211294i
$275$	0.885743			0.0534123
$276$	2.37881			0.143188
$277$	8.83213	−	4.25333i	0.530671	−	0.255558i	−0.149306	−	0.988791i	$-0.547704\pi$
$277$	8.83213	−	4.25333i	0.530671	−	0.255558i	0.679977	+	0.733233i	$0.261990\pi$
$278$	−12.5608	−	15.7507i	−0.753345	−	0.944665i
$279$	−4.20638	−	18.4293i	−0.251829	−	1.10334i
$280$	5.66520	+	0.102012i	0.338560	+	0.00609636i
$281$	1.65184	−	7.23717i	0.0985403	−	0.431733i	−0.901459	−	0.432864i	$-0.857503\pi$
$281$	1.65184	−	7.23717i	0.0985403	−	0.431733i	0.999999	+	0.00113102i	$0.000360016\pi$
$282$	−0.415719	+	0.200200i	−0.0247557	+	0.0119217i
$283$	5.76040	−	25.2379i	0.342420	−	1.50024i	−0.451529	−	0.892256i	$-0.649121\pi$
$283$	5.76040	−	25.2379i	0.342420	−	1.50024i	0.793949	−	0.607984i	$-0.208022\pi$
$284$	−7.85375	−	9.84829i	−0.466034	−	0.584388i
$285$	−0.370319	−	1.62247i	−0.0219358	−	0.0961070i
$286$	7.63520	−	9.57424i	0.451479	−	0.566137i
$287$	−10.1030	−	13.1475i	−0.596359	−	0.776072i
$288$	1.78256	+	2.23527i	0.105039	+	0.131714i
$289$	4.38773	−	5.50204i	0.258102	−	0.323650i
$290$	−15.3317	−	7.38336i	−0.900309	−	0.433566i
$291$	−0.748176	+	0.938183i	−0.0438588	+	0.0549973i
$292$	0.959790	−	4.20511i	0.0561674	−	0.246086i
$293$	14.7454			0.861438			0.430719	−	0.902486i	$-0.358260\pi$
$293$	14.7454			0.861438			0.430719	+	0.902486i	$0.358260\pi$
$294$	−0.492237	−	2.58188i	−0.0287079	−	0.150578i
$295$	−5.89184			−0.343036
$296$	0.913265	−	4.00128i	0.0530825	−	0.232569i
$297$	−2.93752	+	3.68353i	−0.170452	+	0.213740i
$298$	−21.4286	−	10.3195i	−1.24133	−	0.597792i
$299$	−22.5867	+	28.3228i	−1.30622	+	1.63795i
$300$	0.0968259	+	0.121416i	0.00559025	+	0.00700995i
$301$	−12.4359	+	5.71532i	−0.716794	+	0.329426i
$302$	13.9307	−	17.4685i	0.801621	−	1.00520i
$303$	−0.405385	−	1.77611i	−0.0232888	−	0.102035i
$304$	−1.29035	−	1.61805i	−0.0740066	−	0.0928013i
$305$	4.49752	−	19.7049i	0.257527	−	1.12830i
$306$	−12.6290	+	6.08181i	−0.721952	+	0.347674i
$307$	−5.06242	+	22.1799i	−0.288928	+	1.26587i	0.597071	+	0.802188i	$0.296331\pi$
$307$	−5.06242	+	22.1799i	−0.288928	+	1.26587i	−0.885999	+	0.463687i	$0.846526\pi$
$308$	3.45244	+	4.49283i	0.196721	+	0.256003i
$309$	−1.16892	−	5.12139i	−0.0664978	−	0.291346i
$310$	8.82850	+	11.0706i	0.501425	+	0.628767i
$311$	−4.74182	+	2.28354i	−0.268884	+	0.129488i	−0.563468	−	0.826138i	$-0.690533\pi$
$311$	−4.74182	+	2.28354i	−0.268884	+	0.129488i	0.294584	+	0.955626i	$0.404819\pi$
$312$	2.14707			0.121554
$313$	27.8489			1.57411			0.787056	−	0.616881i	$-0.211604\pi$
$313$	27.8489			1.57411			0.787056	+	0.616881i	$0.211604\pi$
$314$	−8.65240	+	4.16678i	−0.488283	+	0.235145i
$315$	10.3266	−	12.4814i	0.581838	−	0.703246i
$316$	10.9444	+	5.27055i	0.615671	+	0.296492i
$317$	21.2956	+	10.2554i	1.19608	+	0.576002i	0.922556	−	0.385863i	$-0.126096\pi$
$317$	21.2956	+	10.2554i	1.19608	+	0.576002i	0.273525	+	0.961865i	$0.411811\pi$
$318$	−0.638745	−	2.79853i	−0.0358191	−	0.156934i
$319$	−3.78662	−	16.5903i	−0.212010	−	0.928876i
$320$	−1.92951	−	0.929201i	−0.107863	−	0.0519439i
$321$	1.82665	+	0.879669i	0.101954	+	0.0490983i
$322$	−10.2131	−	13.2909i	−0.569155	−	0.740670i
$323$	9.14179	−	4.40245i	0.508663	−	0.244959i
$324$	7.75099			0.430610
$325$	−2.36497			−0.131185
$326$	−4.85199	+	2.33659i	−0.268727	+	0.129412i
$327$	1.05601	+	1.32419i	0.0583975	+	0.0732281i
$328$	1.39454	+	6.10987i	0.0770004	+	0.337361i
$329$	2.90339	+	1.46317i	0.160069	+	0.0806670i
$330$	0.383208	−	1.67894i	0.0210949	−	0.0924228i
$331$	−26.2353	+	12.6343i	−1.44202	+	0.694442i	−0.981190	−	0.193045i	$-0.938164\pi$
$331$	−26.2353	+	12.6343i	−1.44202	+	0.694442i	−0.460833	+	0.887487i	$0.652449\pi$
$332$	−1.51526	+	6.63881i	−0.0831610	+	0.364352i
$333$	−7.31596	−	9.17392i	−0.400912	−	0.502728i
$334$	4.69645	+	20.5765i	0.256978	+	1.12590i
$335$	0.525841	−	0.659384i	0.0287298	−	0.0360260i
$336$	−0.238462	+	0.964391i	−0.0130091	+	0.0526119i
$337$	−9.04657	−	11.3440i	−0.492798	−	0.617949i	0.471790	−	0.881711i	$-0.343608\pi$
$337$	−9.04657	−	11.3440i	−0.492798	−	0.617949i	−0.964588	+	0.263762i	$0.915037\pi$
$338$	−12.2810	+	15.3998i	−0.667996	+	0.837640i
$339$	4.37792	+	2.10830i	0.237776	+	0.114507i
$340$	6.54650	−	8.20905i	0.355034	−	0.445198i
$341$	−3.15086	+	13.8048i	−0.170628	+	0.747572i
$342$	−5.91689			−0.319949
$343$	−12.3121	+	13.8352i	−0.664790	+	0.747030i
$344$	5.17296			0.278907
$345$	−1.13362	+	4.96671i	−0.0610320	+	0.267399i
$346$	−4.10418	+	5.14648i	−0.220642	+	0.276677i
$347$	20.3266	+	9.78879i	1.09119	+	0.525490i	0.890878	−	0.454242i	$-0.150090\pi$
$347$	20.3266	+	9.78879i	1.09119	+	0.525490i	0.200312	+	0.979732i	$0.435804\pi$
$348$	1.86022	−	2.33264i	0.0997183	−	0.125043i
$349$	−10.2480	−	12.8506i	−0.548564	−	0.687878i	0.427833	−	0.903858i	$-0.359277\pi$
$349$	−10.2480	−	12.8506i	−0.548564	−	0.687878i	−0.976398	+	0.215980i	$0.930706\pi$
$350$	0.262663	−	1.06227i	0.0140399	−	0.0567806i
$351$	7.84331	−	9.83520i	0.418645	−	0.524964i
$352$	−0.476549	−	2.08790i	−0.0254001	−	0.111285i
$353$	3.09436	+	3.88020i	0.164696	+	0.206522i	0.857330	−	0.514767i	$-0.172121\pi$
$353$	3.09436	+	3.88020i	0.164696	+	0.206522i	−0.692634	+	0.721289i	$0.743550\pi$
$354$	0.229867	−	1.00711i	0.0122173	−	0.0535274i
$355$	24.3049	−	11.7046i	1.28997	−	0.621217i
$356$	0.216516	−	0.948617i	0.0114753	−	0.0502766i
$357$	−4.34951	−	2.19194i	−0.230200	−	0.116010i
$358$	1.60262	+	7.02154i	0.0847012	+	0.371100i
$359$	−5.20897	−	6.53184i	−0.274919	−	0.344737i	0.625134	−	0.780517i	$-0.285044\pi$
$359$	−5.20897	−	6.53184i	−0.274919	−	0.344737i	−0.900053	+	0.435780i	$0.856473\pi$
$360$	−5.51648	+	2.65660i	−0.290744	+	0.140015i
$361$	−14.7169			−0.774575
$362$	13.5875			0.714144
$363$	−2.16971	+	1.04488i	−0.113880	+	0.0548418i
$364$	−9.21816	−	11.9961i	−0.483163	−	0.628764i
$365$	8.32245	+	4.00788i	0.435617	+	0.209782i
$366$	3.19276	+	1.53755i	0.166888	+	0.0803691i
$367$	0.0157019	+	0.0687946i	0.000819634	+	0.00359105i	0.975336	−	0.220725i	$-0.0708423\pi$
$367$	0.0157019	+	0.0687946i	0.000819634	+	0.00359105i	−0.974516	+	0.224316i	$0.927985\pi$
$368$	1.40974	+	6.17649i	0.0734879	+	0.321972i
$369$	16.1430	+	7.77407i	0.840373	+	0.404702i
$370$	7.91903	+	3.81361i	0.411691	+	0.198260i
$371$	−12.8935	+	15.5839i	−0.669398	+	0.809076i
$372$	−2.23677	+	1.07717i	−0.115971	+	0.0558488i
$373$	−4.53681			−0.234907			−0.117454	−	0.993078i	$-0.537473\pi$
$373$	−4.53681			−0.234907			−0.117454	+	0.993078i	$0.537473\pi$
$374$	10.4998			0.542930
$375$	−3.92213	+	1.88880i	−0.202538	+	0.0975372i
$376$	−0.766176	−	0.960754i	−0.0395125	−	0.0495471i
$377$	10.1104	+	44.2967i	0.520714	+	2.28140i
$378$	3.54654	+	4.61529i	0.182414	+	0.237385i
$379$	3.02950	−	13.2731i	0.155615	−	0.681793i	−0.835579	−	0.549371i	$-0.814867\pi$
$379$	3.02950	−	13.2731i	0.155615	−	0.681793i	0.991193	−	0.132422i	$-0.0422755\pi$
$380$	3.99323	−	1.92304i	0.204848	−	0.0986497i
$381$	1.10680	−	4.84922i	0.0567032	−	0.248433i
$382$	6.31408	+	7.91760i	0.323056	+	0.405100i
$383$	−0.550576	−	2.41223i	−0.0281331	−	0.123259i	0.958911	−	0.283706i	$-0.0915638\pi$
$383$	−0.550576	−	2.41223i	−0.0281331	−	0.123259i	−0.987045	+	0.160446i	$0.948707\pi$
$384$	0.234110	−	0.293565i	0.0119469	−	0.0149809i
$385$	−11.0258	+	5.06728i	−0.561928	+	0.258252i
$386$	4.82600	+	6.05162i	0.245637	+	0.308019i
$387$	9.22114	−	11.5629i	0.468737	−	0.587777i
$388$	−2.87934	−	1.38662i	−0.146176	−	0.0703949i
$389$	−8.01497	+	10.0505i	−0.406375	+	0.509578i	−0.942338	−	0.334664i	$-0.891377\pi$
$389$	−8.01497	+	10.0505i	−0.406375	+	0.509578i	0.535963	+	0.844242i	$0.319949\pi$
$390$	−1.02318	+	4.48285i	−0.0518108	+	0.226998i
$391$	−31.0608			−1.57081
$392$	6.41204	−	2.80816i	0.323857	−	0.141834i
$393$	4.23970			0.213865
$394$	0.129259	−	0.566319i	0.00651196	−	0.0285307i
$395$	−16.2199	+	20.3391i	−0.816112	+	1.02337i
$396$	−5.51648	−	2.65660i	−0.277214	−	0.133499i
$397$	−11.1339	+	13.9614i	−0.558793	+	0.700704i	−0.978334	−	0.207032i	$-0.933619\pi$
$397$	−11.1339	+	13.9614i	−0.558793	+	0.700704i	0.419542	+	0.907736i	$0.362191\pi$
$398$	−12.6059	−	15.8074i	−0.631879	−	0.792351i
$399$	−1.25273	−	1.63024i	−0.0627150	−	0.0816142i
$400$	−0.257870	+	0.323359i	−0.0128935	+	0.0161679i
$401$	0.102852	+	0.450623i	0.00513617	+	0.0225030i	0.977431	−	0.211255i	$-0.0677549\pi$
$401$	0.102852	+	0.450623i	0.00513617	+	0.0225030i	−0.972295	+	0.233758i	$0.924898\pi$
$402$	0.0921954	+	0.115609i	0.00459829	+	0.00576607i
$403$	8.41292	−	36.8594i	0.419078	−	1.83610i
$404$	4.37135	−	2.10513i	0.217483	−	0.104734i
$405$	−3.69372	+	16.1833i	−0.183543	+	0.804152i
$406$	−21.0195	−	0.378493i	−1.04318	−	0.0187843i
$407$	1.95584	+	8.56909i	0.0969474	+	0.424754i
$408$	1.14779	+	1.43929i	0.0568242	+	0.0712553i
$409$	19.9569	−	9.61072i	0.986803	−	0.475219i	0.130363	−	0.991466i	$-0.458386\pi$
$409$	19.9569	−	9.61072i	0.986803	−	0.475219i	0.856440	+	0.516247i	$0.172671\pi$
$410$	−13.4213			−0.662832
$411$	−3.02677			−0.149300
$412$	12.6048	−	6.07013i	0.620992	−	0.299054i
$413$	−6.61383	+	3.03960i	−0.325445	+	0.149569i
$414$	16.3190	+	7.85884i	0.802037	+	0.386241i
$415$	−13.1390	−	6.32743i	−0.644970	−	0.310601i
$416$	1.27241	+	5.57477i	0.0623848	+	0.273326i
$417$	1.68325	+	7.37480i	0.0824291	+	0.361146i
$418$	3.99323	+	1.92304i	0.195315	+	0.0940588i
$419$	−11.9457	−	5.75276i	−0.583587	−	0.281041i	0.118705	−	0.992930i	$-0.462126\pi$
$419$	−11.9457	−	5.75276i	−0.583587	−	0.281041i	−0.702292	+	0.711889i	$0.747840\pi$
$420$	−1.89991	−	0.957462i	−0.0927061	−	0.0467194i
$421$	−1.56231	+	0.752371i	−0.0761425	+	0.0366683i	−0.471567	−	0.881830i	$-0.656312\pi$
$421$	−1.56231	+	0.752371i	−0.0761425	+	0.0366683i	0.395425	+	0.918498i	$0.370597\pi$
$422$	9.61009			0.467812
$423$	−3.51330			−0.170822
$424$	6.88773	−	3.31695i	0.334498	−	0.161086i
$425$	−1.26428	−	1.58536i	−0.0613267	−	0.0769013i
$426$	1.05247	+	4.61117i	0.0509923	+	0.223412i
$427$	−5.11712	−	24.4398i	−0.247635	−	1.18273i
$428$	−1.20151	+	5.26414i	−0.0580770	+	0.254452i
$429$	−4.14278	+	1.99506i	−0.200015	+	0.0963222i
$430$	−2.46517	+	10.8006i	−0.118881	+	0.520851i
$431$	−5.02874	−	6.30585i	−0.242226	−	0.303742i	0.645826	−	0.763485i	$-0.276513\pi$
$431$	−5.02874	−	6.30585i	−0.242226	−	0.303742i	−0.888052	+	0.459743i	$0.847942\pi$
$432$	−0.489538	−	2.14480i	−0.0235529	−	0.103192i
$433$	−12.3275	+	15.4581i	−0.592420	+	0.742871i	−0.984175	−	0.177199i	$-0.943296\pi$
$433$	−12.3275	+	15.4581i	−0.592420	+	0.742871i	0.391755	+	0.920069i	$0.371868\pi$
$434$	15.6217	+	7.87256i	0.749864	+	0.377895i
$435$	3.98383	+	4.99556i	0.191010	+	0.239519i
$436$	−2.81240	+	3.52664i	−0.134690	+	0.168895i
$437$	−11.8129	−	5.68879i	−0.565087	−	0.272132i
$438$	−1.00978	+	1.26622i	−0.0482490	+	0.0605023i
$439$	4.52703	−	19.8342i	0.216064	−	0.946636i	−0.744291	−	0.667855i	$-0.767212\pi$
$439$	4.52703	−	19.8342i	0.216064	−	0.946636i	0.960355	−	0.278781i	$-0.0899304\pi$
$440$	4.58641			0.218648
$441$	5.15289	−	19.3383i	0.245375	−	0.920873i
$442$	−28.0349			−1.33348
$443$	−1.33075	+	5.83040i	−0.0632259	+	0.277011i	−0.996652	−	0.0817585i	$-0.973946\pi$
$443$	−1.33075	+	5.83040i	−0.0632259	+	0.277011i	0.933426	+	0.358769i	$0.116804\pi$
$444$	−0.960829	+	1.20484i	−0.0455989	+	0.0571792i
$445$	1.87743	+	0.904124i	0.0889989	+	0.0428596i
$446$	17.2422	−	21.6210i	0.816441	−	1.02378i
$447$	5.56807	+	6.98214i	0.263361	+	0.330244i
$448$	−2.64532	−	0.0476336i	−0.124980	−	0.00225048i
$449$	−2.06174	+	2.58534i	−0.0972994	+	0.122010i	−0.828098	−	0.560584i	$-0.810577\pi$
$449$	−2.06174	+	2.58534i	−0.0972994	+	0.122010i	0.730798	+	0.682594i	$0.239148\pi$
$450$	0.263123	+	1.15282i	0.0124037	+	0.0543443i
$451$	−8.36806	−	10.4932i	−0.394037	−	0.494106i
$452$	−2.87964	+	12.6165i	−0.135447	+	0.593432i
$453$	−7.55864	+	3.64005i	−0.355136	+	0.171024i
$454$	−0.849095	+	3.72013i	−0.0398500	+	0.174594i
$455$	29.4394	−	13.5298i	1.38014	−	0.634289i
$456$	0.172918	+	0.757602i	0.00809761	+	0.0354780i
$457$	10.4623	+	13.1193i	0.489405	+	0.613695i	0.963803	−	0.266616i	$-0.0859055\pi$
$457$	10.4623	+	13.1193i	0.489405	+	0.613695i	−0.474398	+	0.880311i	$0.657334\pi$
$458$	18.8998	−	9.10164i	0.883128	−	0.425292i
$459$	10.7860			0.503445
$460$	−13.5677			−0.632596
$461$	25.6813	−	12.3674i	1.19610	−	0.576009i	0.273535	−	0.961862i	$-0.411807\pi$
$461$	25.6813	−	12.3674i	1.19610	−	0.576009i	0.922560	+	0.385853i	$0.126093\pi$
$462$	−0.436000	−	2.08238i	−0.0202846	−	0.0968810i
$463$	−15.2314	−	7.33507i	−0.707865	−	0.340890i	0.0450709	−	0.998984i	$-0.485649\pi$
$463$	−15.2314	−	7.33507i	−0.707865	−	0.340890i	−0.752936	+	0.658094i	$0.771363\pi$
$464$	7.15903	+	3.44761i	0.332350	+	0.160051i
$465$	−1.18309	−	5.18347i	−0.0548647	−	0.240378i
$466$	3.07449	+	13.4702i	0.142423	+	0.623995i
$467$	−14.2058	−	6.84117i	−0.657368	−	0.316572i	0.0752970	−	0.997161i	$-0.476010\pi$
$467$	−14.2058	−	6.84117i	−0.657368	−	0.316572i	−0.732665	+	0.680589i	$0.761724\pi$
$468$	14.7292	+	7.09323i	0.680860	+	0.327885i
$469$	0.250102	−	1.01147i	0.0115486	−	0.0467052i
$470$	2.37107	−	1.14185i	0.109370	−	0.0526696i
$471$	3.60593			0.166153
$472$	2.75115			0.126632
$473$	−9.98126	+	4.80672i	−0.458939	+	0.221013i
$474$	−2.84382	−	3.56604i	−0.130621	−	0.163794i
$475$	−0.190467	−	0.834491i	−0.00873923	−	0.0382891i
$476$	3.11366	−	12.5923i	0.142714	−	0.577168i
$477$	4.86355	−	21.3086i	0.222686	−	0.975653i
$478$	6.29401	−	3.03103i	0.287881	−	0.138636i
$479$	−0.0117869	+	0.0516418i	−0.000538558	+	0.00235958i	−0.975196	−	0.221341i	$-0.928957\pi$
$479$	−0.0117869	+	0.0516418i	−0.000538558	+	0.00235958i	0.974658	+	0.223701i	$0.0718138\pi$
$480$	0.501368	+	0.628695i	0.0228842	+	0.0286959i
$481$	−5.22218	−	22.8799i	−0.238111	−	1.04323i
$482$	−4.94438	+	6.20006i	−0.225210	+	0.282405i
$483$	1.28979	+	6.16016i	0.0586875	+	0.280297i
$484$	−3.99881	−	5.01435i	−0.181764	−	0.227925i
$485$	4.26726	−	5.35098i	0.193766	−	0.242975i
$486$	−8.56844	−	4.12634i	−0.388672	−	0.187175i
$487$	10.6687	−	13.3781i	0.483443	−	0.606219i	−0.478962	−	0.877835i	$-0.658987\pi$
$487$	10.6687	−	13.3781i	0.483443	−	0.606219i	0.962405	+	0.271617i	$0.0875584\pi$
$488$	−2.10008	+	9.20107i	−0.0950663	+	0.416513i
$489$	2.02209			0.0914421
$490$	2.80750	+	14.7259i	0.126830	+	0.665248i
$491$	−25.7716			−1.16305			−0.581527	−	0.813527i	$-0.697545\pi$
$491$	−25.7716			−1.16305			−0.581527	+	0.813527i	$0.697545\pi$
$492$	0.523626	−	2.29415i	0.0236069	−	0.103428i
$493$	−24.2894	+	30.4580i	−1.09394	+	1.37176i
$494$	−10.6621	−	5.13459i	−0.479710	−	0.231016i
$495$	8.17557	−	10.2518i	0.367465	−	0.460786i
$496$	−4.12241	−	5.16933i	−0.185101	−	0.232110i
$497$	21.2448	−	25.6778i	0.952959	−	1.15181i
$498$	1.59418	−	1.99904i	0.0714370	−	0.0895791i
$499$	3.17163	+	13.8958i	0.141982	+	0.622063i	0.994973	+	0.100139i	$0.0319286\pi$
$499$	3.17163	+	13.8958i	0.141982	+	0.622063i	−0.852992	+	0.521925i	$0.825214\pi$
$500$	−7.22855	−	9.06432i	−0.323271	−	0.405368i
$501$	1.76344	−	7.72613i	0.0787846	−	0.345178i
$502$	−1.16653	+	0.561772i	−0.0520649	+	0.0250731i
$503$	7.97420	−	34.9373i	0.355552	−	1.55778i	−0.408584	−	0.912721i	$-0.633977\pi$
$503$	7.97420	−	34.9373i	0.355552	−	1.55778i	0.764136	−	0.645055i	$-0.223166\pi$
$504$	−4.82193	+	5.82809i	−0.214786	+	0.259604i
$505$	2.31214	+	10.1301i	0.102889	+	0.450785i
$506$	−8.45930	−	10.6076i	−0.376062	−	0.471567i
$507$	6.66351	−	3.20898i	0.295937	−	0.142516i
$508$	13.2467			0.587728
$509$	−0.306590			−0.0135894			−0.00679468	−	0.999977i	$-0.502163\pi$
$509$	−0.306590			−0.0135894			−0.00679468	+	0.999977i	$0.502163\pi$
$510$	−3.55206	+	1.71058i	−0.157288	+	0.0757459i
$511$	11.4100	+	0.205456i	0.504747	+	0.00908883i
$512$	0.900969	+	0.433884i	0.0398176	+	0.0191751i
$513$	4.10207	+	1.97545i	0.181111	+	0.0872183i
$514$	−4.83465	−	21.1820i	−0.213247	−	0.934297i
$515$	6.66702	+	29.2101i	0.293784	+	1.28715i
$516$	−1.75001	−	0.842759i	−0.0770397	−	0.0371004i
$517$	2.37107	+	1.14185i	0.104280	+	0.0502185i
$518$	10.8569	+	0.195497i	0.477023	+	0.00858963i
$519$	2.22689	−	1.07241i	0.0977494	−	0.0470736i
$520$	−12.2459			−0.537019
$521$	−10.7846			−0.472481			−0.236240	−	0.971695i	$-0.575915\pi$
$521$	−10.7846			−0.472481			−0.236240	+	0.971695i	$0.575915\pi$
$522$	20.4677	−	9.85675i	0.895849	−	0.431418i
$523$	18.5057	+	23.2055i	0.809200	+	1.01470i	0.999456	+	0.0329702i	$0.0104966\pi$
$523$	18.5057	+	23.2055i	0.809200	+	1.01470i	−0.190256	+	0.981734i	$0.560932\pi$
$524$	2.51255	+	11.0082i	0.109761	+	0.480896i
$525$	−0.261919	+	0.316572i	−0.0114311	+	0.0138163i
$526$	3.28480	−	14.3916i	0.143224	−	0.627505i
$527$	29.2062	−	14.0650i	1.27224	−	0.612679i
$528$	−0.178936	+	0.783970i	−0.00778719	+	0.0341179i
$529$	10.6843	+	13.3977i	0.464536	+	0.582510i
$530$	3.64312	+	15.9615i	0.158247	+	0.693325i
$531$	4.90411	−	6.14956i	0.212820	−	0.266868i
$532$	3.49046	−	4.21879i	0.151331	−	0.182908i
$533$	22.3431	+	28.0174i	0.967787	+	1.21357i
$534$	−0.227792	+	0.285642i	−0.00985752	+	0.0123609i
$535$	−10.4184	−	5.01724i	−0.450427	−	0.216914i
$536$	−0.245538	+	0.307895i	−0.0106056	+	0.0132990i
$537$	0.601758	−	2.63647i	0.0259678	−	0.113772i
$538$	13.1627			0.567486
$539$	−9.76272	+	11.3764i	−0.420510	+	0.490018i
$540$	4.71142			0.202747
$541$	4.62878	−	20.2800i	0.199007	−	0.871906i	−0.772523	−	0.634987i	$-0.781005\pi$
$541$	4.62878	−	20.2800i	0.199007	−	0.871906i	0.971530	−	0.236919i	$-0.0761374\pi$
$542$	9.35280	−	11.7280i	0.401737	−	0.503763i
$543$	−4.59664	−	2.21363i	−0.197261	−	0.0949958i
$544$	−3.05684	+	3.83316i	−0.131061	+	0.164345i
$545$	−6.02301	−	7.55261i	−0.257997	−	0.323518i
$546$	1.16414	+	5.56004i	0.0498206	+	0.237948i
$547$	−21.6624	+	27.1638i	−0.926217	+	1.16144i	0.0603652	+	0.998176i	$0.480773\pi$
$547$	−21.6624	+	27.1638i	−0.926217	+	1.16144i	−0.986583	+	0.163263i	$0.947798\pi$
$548$	−1.79374	−	7.85890i	−0.0766249	−	0.335716i
$549$	16.8233	+	21.0957i	0.718001	+	0.900345i
$550$	0.197096	−	0.863536i	0.00840422	−	0.0368213i
$551$	−14.8160	+	7.13502i	−0.631184	+	0.303962i
$552$	0.529335	−	2.31917i	0.0225300	−	0.0987103i
$553$	−7.71455	+	31.1993i	−0.328056	+	1.32673i
$554$	−2.18136	−	9.55715i	−0.0926769	−	0.406044i
$555$	−2.05770	−	2.58028i	−0.0873446	−	0.109527i
$556$	−18.1508	+	8.74099i	−0.769767	+	0.370700i
$557$	27.6521			1.17166			0.585828	−	0.810436i	$-0.300770\pi$
$557$	27.6521			1.17166			0.585828	+	0.810436i	$0.300770\pi$
$558$	−18.9033			−0.800240
$559$	26.6504	−	12.8342i	1.12719	−	0.542827i
$560$	1.36008	−	5.50046i	0.0574738	−	0.232437i
$561$	−3.55206	−	1.71058i	−0.149968	−	0.0722208i
$562$	−6.68815	−	3.22084i	−0.282123	−	0.135863i
$563$	1.02728	+	4.50080i	0.0432946	+	0.189686i	0.991951	−	0.126622i	$-0.0404137\pi$
$563$	1.02728	+	4.50080i	0.0432946	+	0.189686i	−0.948656	+	0.316308i	$0.897557\pi$
$564$	0.102674	+	0.449844i	0.00432336	+	0.0189419i
$565$	−24.9697	−	12.0248i	−1.05048	−	0.505886i
$566$	−23.3234	−	11.2319i	−0.980354	−	0.472114i
$567$	4.20259	+	20.0719i	0.176492	+	0.842942i
$568$	−11.3490	+	5.46539i	−0.476193	+	0.229323i
$569$	−23.8510			−0.999885			−0.499942	−	0.866059i	$-0.666646\pi$
$569$	−23.8510			−0.999885			−0.499942	+	0.866059i	$0.666646\pi$
$570$	−1.66420			−0.0697056
$571$	−27.0856	+	13.0437i	−1.13350	+	0.545864i	−0.904037	−	0.427454i	$-0.859411\pi$
$571$	−27.0856	+	13.0437i	−1.13350	+	0.545864i	−0.229461	+	0.973318i	$0.573696\pi$
$572$	−7.63520	−	9.57424i	−0.319244	−	0.400319i
$573$	−0.846140	−	3.70718i	−0.0353480	−	0.154870i
$574$	−15.0660	+	6.92406i	−0.628842	+	0.289005i
$575$	−0.583057	+	2.55454i	−0.0243152	+	0.106532i
$576$	2.57588	−	1.24048i	0.107328	−	0.0516866i
$577$	8.01657	−	35.1229i	0.333734	−	1.46219i	−0.478104	−	0.878303i	$-0.658676\pi$
$577$	8.01657	−	35.1229i	0.333734	−	1.46219i	0.811838	−	0.583882i	$-0.198467\pi$
$578$	−4.38773	−	5.50204i	−0.182506	−	0.228855i
$579$	−0.646726	−	2.83349i	−0.0268770	−	0.117756i
$580$	−10.6099	+	13.3044i	−0.440551	+	0.552433i
$581$	−18.0134	−	0.324363i	−0.747323	−	0.0134568i
$582$	0.748176	+	0.938183i	0.0310129	+	0.0388889i
$583$	−10.2078	+	12.8002i	−0.422764	+	0.530129i
$584$	−3.88611	−	1.87145i	−0.160808	−	0.0774412i
$585$	−21.8291	+	27.3729i	−0.902524	+	1.13173i
$586$	3.28117	−	14.3757i	0.135544	−	0.593857i
$587$	−6.63616			−0.273904			−0.136952	−	0.990578i	$-0.543731\pi$
$587$	−6.63616			−0.273904			−0.136952	+	0.990578i	$0.543731\pi$
$588$	−2.62668	−	0.0946265i	−0.108322	−	0.00390233i
$589$	13.6836			0.563821
$590$	−1.31106	+	5.74412i	−0.0539754	+	0.236482i
$591$	−0.135991	+	0.170527i	−0.00559390	+	0.00701453i
$592$	−3.69774	−	1.78074i	−0.151976	−	0.0731878i
$593$	6.07345	−	7.61587i	0.249407	−	0.312746i	−0.641330	−	0.767265i	$-0.721617\pi$
$593$	6.07345	−	7.61587i	0.249407	−	0.312746i	0.890737	+	0.454518i	$0.150189\pi$
$594$	2.93752	+	3.68353i	0.120528	+	0.151137i
$595$	24.8077	+	12.5019i	1.01702	+	0.512526i
$596$	−14.8291	+	18.5951i	−0.607423	+	0.761684i
$597$	1.68930	+	7.40132i	0.0691386	+	0.302916i
$598$	22.5867	+	28.3228i	0.923639	+	1.15821i
$599$	−7.52623	+	32.9746i	−0.307513	+	1.34730i	0.550996	+	0.834508i	$0.314248\pi$
$599$	−7.52623	+	32.9746i	−0.307513	+	1.34730i	−0.858510	+	0.512797i	$0.828609\pi$
$600$	0.139917	−	0.0673807i	0.00571211	−	0.00275081i
$601$	2.07739	−	9.10164i	0.0847385	−	0.371264i	−0.914723	−	0.404082i	$-0.867591\pi$
$601$	2.07739	−	9.10164i	0.0847385	−	0.371264i	0.999461	+	0.0328181i	$0.0104482\pi$
$602$	2.80478	+	13.3959i	0.114314	+	0.545976i
$603$	0.250539	+	1.09768i	0.0102028	+	0.0447012i
$604$	−13.9307	−	17.4685i	−0.566832	−	0.710784i
$605$	12.3751	−	5.95952i	0.503118	−	0.242289i
$606$	−1.82178			−0.0740049
$607$	−39.2129			−1.59160			−0.795801	−	0.605558i	$-0.792950\pi$
$607$	−39.2129			−1.59160			−0.795801	+	0.605558i	$0.792950\pi$
$608$	−1.86461	+	0.897948i	−0.0756198	+	0.0364166i
$609$	7.04922	+	3.55246i	0.285649	+	0.143953i
$610$	−18.2101	−	8.76951i	−0.737305	−	0.355067i
$611$	−6.33087	−	3.04879i	−0.256120	−	0.123341i
$612$	3.11911	+	13.6657i	0.126082	+	0.552403i
$613$	−0.451743	−	1.97922i	−0.0182457	−	0.0799398i	0.964985	−	0.262304i	$-0.0844822\pi$
$613$	−0.451743	−	1.97922i	−0.0182457	−	0.0799398i	−0.983231	+	0.182364i	$0.941625\pi$
$614$	20.4973	+	9.87099i	0.827205	+	0.398361i
$615$	4.54042	+	2.18655i	0.183087	+	0.0881703i
$616$	5.14843	−	2.36613i	0.207436	−	0.0953340i
$617$	−27.1229	+	13.0617i	−1.09193	+	0.525845i	−0.891112	−	0.453784i	$-0.850074\pi$
$617$	−27.1229	+	13.0617i	−1.09193	+	0.525845i	−0.200817	+	0.979629i	$0.564360\pi$
$618$	−5.25310			−0.211311
$619$	25.9044			1.04119			0.520593	−	0.853805i	$-0.325711\pi$
$619$	25.9044			1.04119			0.520593	+	0.853805i	$0.325711\pi$
$620$	12.7576	−	6.14372i	0.512356	−	0.246738i
$621$	−8.68987	−	10.8968i	−0.348713	−	0.437272i
$622$	1.17113	+	5.13106i	0.0469581	+	0.205737i
$623$	2.57393	+	0.0463481i	0.103122	+	0.00185690i
$624$	0.477767	−	2.09324i	0.0191260	−	0.0837965i
$625$	20.5069	−	9.87562i	0.820278	−	0.395025i
$626$	6.19696	−	27.1507i	0.247680	−	1.08516i
$627$	−1.03761	−	1.30112i	−0.0414382	−	0.0519618i
$628$	2.13697	+	9.36266i	0.0852742	+	0.373611i
$629$	12.5458	−	15.7320i	0.500234	−	0.627274i
$630$	−9.87056	−	12.8451i	−0.393252	−	0.511760i
$631$	1.31836	+	1.65317i	0.0524831	+	0.0658117i	0.807380	−	0.590031i	$-0.200885\pi$
$631$	1.31836	+	1.65317i	0.0524831	+	0.0658117i	−0.754897	+	0.655843i	$0.772313\pi$
$632$	7.57377	−	9.49720i	0.301268	−	0.377778i
$633$	−3.25108	−	1.56564i	−0.129219	−	0.0622285i
$634$	14.7370	−	18.4796i	0.585282	−	0.733920i
$635$	−6.31271	+	27.6578i	−0.250512	+	1.09757i
$636$	−2.87050			−0.113823
$637$	26.0669	−	30.3756i	1.03281	−	1.20352i
$638$	−17.0169			−0.673706
$639$	−8.01372	+	35.1104i	−0.317018	+	1.38895i
$640$	−1.33526	+	1.67436i	−0.0527808	+	0.0661850i
$641$	−2.71257	−	1.30630i	−0.107140	−	0.0515959i	0.379546	−	0.925173i	$-0.376080\pi$
$641$	−2.71257	−	1.30630i	−0.107140	−	0.0515959i	−0.486686	+	0.873577i	$0.661794\pi$
$642$	1.26408	−	1.58511i	0.0498893	−	0.0625593i
$643$	1.82597	+	2.28970i	0.0720094	+	0.0902969i	0.816532	−	0.577301i	$-0.195894\pi$
$643$	1.82597	+	2.28970i	0.0720094	+	0.0902969i	−0.744522	+	0.667598i	$0.767323\pi$
$644$	−15.2303	+	6.99956i	−0.600156	+	0.275821i
$645$	2.59356	−	3.25222i	0.102121	−	0.128056i
$646$	−2.25783	−	9.89222i	−0.0888333	−	0.389204i
$647$	11.5510	+	14.4845i	0.454116	+	0.569444i	0.955202	−	0.295954i	$-0.0956374\pi$
$647$	11.5510	+	14.4845i	0.454116	+	0.569444i	−0.501086	+	0.865398i	$0.667066\pi$
$648$	1.72476	−	7.55665i	0.0677549	−	0.296853i
$649$	−5.30837	+	2.55638i	−0.208372	+	0.100347i
$650$	−0.526256	+	2.30568i	−0.0206415	+	0.0904361i
$651$	−4.00222	−	5.20830i	−0.156860	−	0.204129i
$652$	1.19834	+	5.25028i	0.0469307	+	0.205617i
$653$	−16.0227	−	20.0919i	−0.627018	−	0.786255i	0.362295	−	0.932063i	$-0.381993\pi$
$653$	−16.0227	−	20.0919i	−0.627018	−	0.786255i	−0.989313	+	0.145808i	$0.953422\pi$
$654$	1.52598	−	0.734872i	0.0596705	−	0.0287358i
$655$	−24.1814			−0.944844
$656$	6.26699			0.244685
$657$	−11.1104	+	5.35050i	−0.433459	+	0.208743i
$658$	2.07255	−	2.50501i	0.0807963	−	0.0976554i
$659$	17.9865	+	8.66184i	0.700655	+	0.337417i	0.750068	−	0.661361i	$-0.230021\pi$
$659$	17.9865	+	8.66184i	0.700655	+	0.337417i	−0.0494132	+	0.998778i	$0.515735\pi$
$660$	−1.55158	−	0.747200i	−0.0603950	−	0.0290847i
$661$	8.94633	+	39.1964i	0.347972	+	1.52456i	0.781777	+	0.623558i	$0.214313\pi$
$661$	8.94633	+	39.1964i	0.347972	+	1.52456i	−0.433805	+	0.901007i	$0.642829\pi$
$662$	6.47959	+	28.3889i	0.251836	+	1.10337i
$663$	9.48416	+	4.56733i	0.368334	+	0.177380i
$664$	6.13518	+	2.95455i	0.238091	+	0.114659i
$665$	7.14502	+	9.29818i	0.277072	+	0.360568i
$666$	−10.5719	+	5.09114i	−0.409652	+	0.197278i
$667$	50.3400			1.94917
$668$	21.1056			0.816602
$669$	−9.35542	+	4.50533i	−0.361701	+	0.174186i
$670$	−0.525841	−	0.659384i	−0.0203150	−	0.0254742i
$671$	−4.49752	−	19.7049i	−0.173625	−	0.760700i
$672$	0.887149	+	0.447080i	0.0342225	+	0.0172465i
$673$	0.438936	−	1.92310i	0.0169197	−	0.0741301i	−0.965763	−	0.259425i	$-0.916467\pi$
$673$	0.438936	−	1.92310i	0.0169197	−	0.0741301i	0.982683	+	0.185295i	$0.0593241\pi$
$674$	−13.0727	+	6.29546i	−0.503540	+	0.242492i
$675$	0.202469	−	0.887072i	0.00779302	−	0.0341434i
$676$	12.2810	+	15.3998i	0.472344	+	0.592301i
$677$	−9.77859	−	42.8428i	−0.375822	−	1.64658i	−0.710095	−	0.704106i	$-0.751348\pi$
$677$	−9.77859	−	42.8428i	−0.375822	−	1.64658i	0.334273	−	0.942476i	$-0.391509\pi$
$678$	3.02962	−	3.79902i	0.116352	−	0.145900i
$679$	2.02960	−	8.20817i	0.0778891	−	0.315001i
$680$	−6.54650	−	8.20905i	−0.251047	−	0.314803i
$681$	0.893317	−	1.12018i	0.0342320	−	0.0429256i
$682$	12.7576	+	6.14372i	0.488512	+	0.235255i
$683$	−5.16784	+	6.48027i	−0.197742	+	0.247961i	−0.870810	−	0.491620i	$-0.836405\pi$
$683$	−5.16784	+	6.48027i	−0.197742	+	0.247961i	0.673068	+	0.739581i	$0.264976\pi$
$684$	−1.31663	+	5.76854i	−0.0503427	+	0.220566i
$685$	17.2634			0.659599
$686$	10.7486	+	15.0820i	0.410384	+	0.575834i
$687$	−7.87657			−0.300510
$688$	1.15109	−	5.04326i	0.0438850	−	0.192273i
$689$	27.2553	−	34.1770i	1.03834	−	1.30204i
$690$	4.58993	+	2.21039i	0.174736	+	0.0841482i
$691$	−2.26881	+	2.84500i	−0.0863098	+	0.108229i	−0.823111	−	0.567880i	$-0.807764\pi$
$691$	−2.26881	+	2.84500i	−0.0863098	+	0.108229i	0.736802	+	0.676109i	$0.236335\pi$
$692$	4.10418	+	5.14648i	0.156018	+	0.195640i
$693$	3.88848	−	15.7259i	0.147711	−	0.597377i
$694$	14.0665	−	17.6388i	0.533956	−	0.669559i
$695$	−9.60051	−	42.0626i	−0.364168	−	1.59552i
$696$	−1.86022	−	2.33264i	−0.0705115	−	0.0884186i
$697$	−6.83713	+	29.9554i	−0.258975	+	1.13464i
$698$	−14.8088	+	7.13156i	−0.560522	+	0.269933i
$699$	1.15442	−	5.05784i	0.0436641	−	0.191305i
$700$	−0.977186	−	0.492454i	−0.0369342	−	0.0186130i
$701$	6.33239	+	27.7440i	0.239171	+	1.04788i	0.941761	+	0.336282i	$0.109170\pi$
$701$	6.33239	+	27.7440i	0.239171	+	1.04788i	−0.702590	+	0.711595i	$0.747973\pi$
$702$	−7.84331	−	9.83520i	−0.296027	−	0.371206i
$703$	7.65268	−	3.68534i	0.288626	−	0.138995i
$704$	−2.14159			−0.0807142
$705$	−0.988158			−0.0372162
$706$	4.47148	−	2.15335i	0.168286	−	0.0810424i
$707$	7.82160	+	10.1786i	0.294161	+	0.382807i
$708$	−0.930712	−	0.448207i	−0.0349783	−	0.0168447i
$709$	−42.6150	−	20.5223i	−1.60044	−	0.770731i	−0.600850	−	0.799362i	$-0.705171\pi$
$709$	−42.6150	−	20.5223i	−1.60044	−	0.770731i	−0.999590	+	0.0286307i	$0.990885\pi$
$710$	−6.00281	−	26.3000i	−0.225282	−	0.987023i
$711$	−7.72804	−	33.8588i	−0.289824	−	1.26980i
$712$	−0.876654	−	0.422174i	−0.0328540	−	0.0158216i
$713$	−37.7398	−	18.1745i	−1.41337	−	0.680642i
$714$	−3.10484	+	3.75270i	−0.116196	+	0.140441i
$715$	23.6286	−	11.3789i	0.883658	−	0.425547i
$716$	7.20212			0.269156
$717$	−2.62306			−0.0979599
$718$	−7.52718	+	3.62490i	−0.280912	+	0.135280i
$719$	−3.45580	−	4.33343i	−0.128879	−	0.161610i	0.713205	−	0.700956i	$-0.247243\pi$
$719$	−3.45580	−	4.33343i	−0.128879	−	0.161610i	−0.842084	+	0.539346i	$0.818672\pi$
$720$	1.36246	+	5.96932i	0.0507758	+	0.222463i
$721$	22.5535	+	29.3500i	0.839936	+	1.09305i
$722$	−3.27482	+	14.3479i	−0.121876	+	0.533975i
$723$	2.68277	−	1.29195i	0.0997732	−	0.0480482i
$724$	3.02351	−	13.2469i	0.112368	−	0.492315i
$725$	2.04901	+	2.56938i	0.0760985	+	0.0954245i
$726$	0.535874	+	2.34782i	0.0198882	+	0.0871357i
$727$	−18.2908	+	22.9359i	−0.678368	+	0.850646i	−0.995203	−	0.0978346i	$-0.968808\pi$
$727$	−18.2908	+	22.9359i	−0.678368	+	0.850646i	0.316835	+	0.948481i	$0.397380\pi$
$728$	−13.7465	+	6.31766i	−0.509480	+	0.234148i
$729$	−12.2715	−	15.3880i	−0.454501	−	0.569927i
$730$	5.75932	−	7.22195i	0.213162	−	0.267297i
$731$	22.8503	+	11.0041i	0.845150	+	0.407003i
$732$	2.20946	−	2.77057i	0.0816639	−	0.102403i
$733$	−3.39264	+	14.8641i	−0.125310	+	0.549019i	0.872828	+	0.488027i	$0.162283\pi$
$733$	−3.39264	+	14.8641i	−0.125310	+	0.549019i	−0.998138	+	0.0609915i	$0.980574\pi$
$734$	0.0705638			0.00260456
$735$	1.44931	−	5.43914i	0.0534586	−	0.200626i
$736$	6.33533			0.233523
$737$	0.187671	−	0.822239i	0.00691294	−	0.0302876i
$738$	11.1713	−	14.0084i	0.411222	−	0.515656i
$739$	−13.2606	−	6.38598i	−0.487800	−	0.234912i	0.173783	−	0.984784i	$-0.444401\pi$
$739$	−13.2606	−	6.38598i	−0.487800	−	0.234912i	−0.661583	+	0.749872i	$0.730115\pi$
$740$	5.48014	−	6.87188i	0.201454	−	0.252615i
$741$	2.77046	+	3.47405i	0.101776	+	0.127622i
$742$	12.3241	+	16.0380i	0.452432	+	0.588773i
$743$	27.4672	−	34.4428i	1.00768	−	1.26359i	0.0432962	−	0.999062i	$-0.486214\pi$
$743$	27.4672	−	34.4428i	1.00768	−	1.26359i	0.964379	−	0.264523i	$-0.0852145\pi$
$744$	0.552437	+	2.42039i	0.0202533	+	0.0887356i
$745$	−31.7578	−	39.8230i	−1.16352	−	1.45900i
$746$	−1.00954	+	4.42306i	−0.0369617	+	0.161940i
$747$	17.5406	−	8.44709i	0.641776	−	0.309063i
$748$	2.33642	−	10.2365i	0.0854279	−	0.374284i
$749$	−14.2835	−	0.257199i	−0.521907	−	0.00939783i
$750$	0.968687	+	4.24409i	0.0353714	+	0.154972i
$751$	−1.18081	−	1.48069i	−0.0430884	−	0.0540311i	0.759820	−	0.650133i	$-0.225287\pi$
$751$	−1.18081	−	1.48069i	−0.0430884	−	0.0540311i	−0.802909	+	0.596102i	$0.796715\pi$
$752$	−1.10716	+	0.533178i	−0.0403738	+	0.0194430i
$753$	0.486158			0.0177166
$754$	45.4359			1.65468
$755$	43.1111	−	20.7612i	1.56897	−	0.755578i
$756$	5.28875	−	2.43062i	0.192350	−	0.0884008i
$757$	13.6241	+	6.56101i	0.495176	+	0.238464i	0.664767	−	0.747050i	$-0.268531\pi$
$757$	13.6241	+	6.56101i	0.495176	+	0.238464i	−0.169592	+	0.985514i	$0.554245\pi$
$758$	−12.2662	−	5.90708i	−0.445528	−	0.214555i
$759$	1.13362	+	4.96671i	0.0411477	+	0.180280i
$760$	−0.986245	−	4.32102i	−0.0357749	−	0.156740i
$761$	−15.2632	−	7.35038i	−0.553291	−	0.266451i	0.136278	−	0.990671i	$-0.456486\pi$
$761$	−15.2632	−	7.35038i	−0.553291	−	0.266451i	−0.689569	+	0.724220i	$0.742200\pi$
$762$	−4.48135	−	2.15810i	−0.162342	−	0.0781799i
$763$	−10.6575	−	5.37084i	−0.385826	−	0.194438i
$764$	9.12411	−	4.39394i	0.330099	−	0.158967i
$765$	−30.0190			−1.08534
$766$	−2.47427			−0.0893989
$767$	14.1736	−	6.82563i	0.511778	−	0.246459i
$768$	−0.234110	−	0.293565i	−0.00844772	−	0.0105931i
$769$	−7.75763	−	33.9884i	−0.279747	−	1.22565i	−0.898114	−	0.439763i	$-0.855062\pi$
$769$	−7.75763	−	33.9884i	−0.279747	−	1.22565i	0.618367	−	0.785890i	$-0.287795\pi$
$770$	2.48675	+	11.8770i	0.0896163	+	0.428016i
$771$	−1.81533	+	7.95348i	−0.0653775	+	0.286438i
$772$	6.97378	−	3.35839i	0.250992	−	0.120871i
$773$	−6.77892	+	29.7004i	−0.243821	+	1.06825i	0.693685	+	0.720279i	$0.255986\pi$
$773$	−6.77892	+	29.7004i	−0.243821	+	1.06825i	−0.937506	+	0.347970i	$0.886871\pi$
$774$	−9.22114	−	11.5629i	−0.331447	−	0.415621i
$775$	−0.608504	−	2.66603i	−0.0218581	−	0.0957667i
$776$	−1.99257	+	2.49860i	−0.0715290	+	0.0896945i
$777$	−3.64102	−	1.83490i	−0.130621	−	0.0658265i
$778$	8.01497	+	10.0505i	0.287350	+	0.360326i
$779$	−8.08661	+	10.1403i	−0.289733	+	0.363313i
$780$	4.14278	+	1.99506i	0.148335	+	0.0714345i
$781$	16.8195	−	21.0910i	0.601849	−	0.754695i
$782$	−6.91168	+	30.2820i	−0.247161	+	1.08288i
$783$	−17.4807			−0.624710
$784$	−1.31094	−	6.87615i	−0.0468194	−	0.245577i
$785$	−20.5666			−0.734054
$786$	0.943422	−	4.13340i	0.0336508	−	0.147434i
$787$	−30.8522	+	38.6875i	−1.09976	+	1.37906i	−0.181359	+	0.983417i	$0.558049\pi$
$787$	−30.8522	+	38.6875i	−1.09976	+	1.37906i	−0.918405	+	0.395642i	$0.870522\pi$
$788$	−0.523358	−	0.252036i	−0.0186438	−	0.00897840i
$789$	−3.45587	+	4.33353i	−0.123032	+	0.154278i
$790$	16.2199	+	20.3391i	0.577078	+	0.723633i
$791$	−34.2331	−	0.616426i	−1.21719	−	0.0219176i
$792$	−3.81752	+	4.78702i	−0.135650	+	0.170099i
$793$	12.0086	+	52.6130i	0.426437	+	1.86834i
$794$	11.1339	+	13.9614i	0.395126	+	0.495472i
$795$	1.36793	−	5.99330i	0.0485155	−	0.212560i
$796$	−18.2161	+	8.77242i	−0.645653	+	0.310930i
$797$	10.9966	−	48.1792i	0.389519	−	1.70659i	−0.276800	−	0.960928i	$-0.589274\pi$
$797$	10.9966	−	48.1792i	0.389519	−	1.70659i	0.666319	−	0.745667i	$-0.267869\pi$
$798$	−1.86813	+	0.858559i	−0.0661310	+	0.0303927i
$799$	−1.34064	−	5.87375i	−0.0474286	−	0.207798i
$800$	0.257870	+	0.323359i	0.00911708	+	0.0114325i
$801$	−2.50636	+	1.20700i	−0.0885580	+	0.0426473i
$802$	0.462212			0.0163213
$803$	9.23723			0.325975
$804$	0.133226	−	0.0641583i	0.00469853	−	0.00226269i
$805$	−7.35640	−	35.1348i	−0.259279	−	1.23834i
$806$	−34.0632	−	16.4040i	−1.19983	−	0.577806i
$807$	−4.45294	−	2.14442i	−0.156751	−	0.0754873i
$808$	−1.07964	−	4.73019i	−0.0379814	−	0.166408i
$809$	−7.98227	−	34.9726i	−0.280642	−	1.22957i	−0.896973	−	0.442085i	$-0.854239\pi$
$809$	−7.98227	−	34.9726i	−0.280642	−	1.22957i	0.616332	−	0.787487i	$-0.288618\pi$
$810$	14.9556	+	7.20223i	0.525485	+	0.253060i
$811$	−0.824822	−	0.397213i	−0.0289634	−	0.0139481i	0.419346	−	0.907826i	$-0.362259\pi$
$811$	−0.824822	−	0.397213i	−0.0289634	−	0.0139481i	−0.448309	+	0.893878i	$0.647974\pi$
$812$	−5.04629	+	20.4083i	−0.177090	+	0.716191i
$813$	−5.07473	+	2.44386i	−0.177979	+	0.0857100i
$814$	8.78946			0.308071
$815$	−11.5331			−0.403987
$816$	1.65861	−	0.798744i	0.0580629	−	0.0279616i
$817$	6.67492	+	8.37009i	0.233526	+	0.292832i
$818$	−4.92894	−	21.5951i	−0.172336	−	0.755054i
$819$	−10.3824	+	41.9888i	−0.362791	+	1.46721i
$820$	−2.98653	+	13.0848i	−0.104294	+	0.456942i
$821$	−23.0926	+	11.1208i	−0.805936	+	0.388118i	−0.791035	−	0.611771i	$-0.790458\pi$
$821$	−23.0926	+	11.1208i	−0.805936	+	0.388118i	−0.0149010	+	0.999889i	$0.504743\pi$
$822$	−0.673520	+	2.95089i	−0.0234917	+	0.102924i
$823$	10.8259	+	13.5752i	0.377366	+	0.473202i	0.933854	−	0.357653i	$-0.116423\pi$
$823$	10.8259	+	13.5752i	0.377366	+	0.473202i	−0.556488	+	0.830855i	$0.687852\pi$
$824$	−3.11312	−	13.6395i	−0.108451	−	0.475153i
$825$	−0.207361	+	0.260023i	−0.00721940	+	0.00905284i
$826$	1.49168	+	7.12438i	0.0519021	+	0.247889i
$827$	4.68617	+	5.87627i	0.162954	+	0.204338i	0.856604	−	0.515974i	$-0.172570\pi$
$827$	4.68617	+	5.87627i	0.162954	+	0.204338i	−0.693650	+	0.720312i	$0.743999\pi$
$828$	11.2931	−	14.1611i	0.392463	−	0.492133i
$829$	44.8551	+	21.6011i	1.55788	+	0.750237i	0.996981	−	0.0776449i	$-0.0247401\pi$
$829$	44.8551	+	21.6011i	1.55788	+	0.750237i	0.560902	+	0.827882i	$0.310454\pi$
$830$	−9.09250	+	11.4016i	−0.315605	+	0.395757i
$831$	−0.819063	+	3.58855i	−0.0284130	+	0.124485i
$832$	5.71814			0.198241
$833$	34.2973	+	1.23556i	1.18833	+	0.0428098i
$834$	7.56446			0.261936
$835$	−10.0579	+	44.0664i	−0.348067	+	1.52498i
$836$	2.76340	−	3.46519i	0.0955741	−	0.119846i
$837$	13.1053	+	6.31117i	0.452985	+	0.218146i
$838$	−8.26671	+	10.3661i	−0.285569	+	0.358092i
$839$	22.7234	+	28.4942i	0.784498	+	0.983729i	0.999974	+	0.00722015i	$0.00229826\pi$
$839$	22.7234	+	28.4942i	0.784498	+	0.983729i	−0.215476	+	0.976509i	$0.569130\pi$
$840$	−1.35623	+	1.63922i	−0.0467943	+	0.0565585i
$841$	21.2845	−	26.6899i	0.733948	−	0.920342i
$842$	0.385860	+	1.69056i	0.0132976	+	0.0582606i
$843$	1.73787	+	2.17922i	0.0598553	+	0.0750562i
$844$	2.13845	−	9.36914i	0.0736083	−	0.322499i
$845$	−38.0057	+	18.3026i	−1.30744	+	0.629628i
$846$	−0.781783	+	3.42521i	−0.0268782	+	0.117761i
$847$	10.8170	−	13.0741i	0.371676	−	0.449231i
$848$	−1.70113	−	7.45313i	−0.0584170	−	0.255942i
$849$	6.06040	+	7.59951i	0.207993	+	0.260814i
$850$	−1.82694	+	0.879809i	−0.0626636	+	0.0301772i
$851$	−26.0013			−0.891313
$852$	4.72975			0.162039
$853$	−13.1422	+	6.32896i	−0.449981	+	0.216699i	−0.645128	−	0.764075i	$-0.723196\pi$
$853$	−13.1422	+	6.32896i	−0.449981	+	0.216699i	0.195147	+	0.980774i	$0.437482\pi$
$854$	−24.9657	−	0.449551i	−0.854310	−	0.0153833i
$855$	−11.4167	−	5.49798i	−0.390442	−	0.188027i
$856$	4.86480	+	2.34276i	0.166275	+	0.0800740i
$857$	−5.75908	−	25.2322i	−0.196726	−	0.861914i	−0.972869	−	0.231357i	$-0.925684\pi$
$857$	−5.75908	−	25.2322i	−0.196726	−	0.861914i	0.776143	−	0.630557i	$-0.217174\pi$
$858$	1.02318	+	4.48285i	0.0349308	+	0.153042i
$859$	−44.0985	−	21.2367i	−1.50462	−	0.724588i	−0.513568	−	0.858049i	$-0.671676\pi$
$859$	−44.0985	−	21.2367i	−1.50462	−	0.724588i	−0.991054	+	0.133461i	$0.957391\pi$
$860$	9.98126	+	4.80672i	0.340358	+	0.163908i
$861$	6.22485	+	0.112089i	0.212142	+	0.00381999i
$862$	−7.26675	+	3.49948i	−0.247506	+	0.119193i
$863$	31.9294			1.08689			0.543445	−	0.839445i	$-0.317120\pi$
$863$	31.9294			1.08689			0.543445	+	0.839445i	$0.317120\pi$
$864$	−2.19996			−0.0748442
$865$	−12.7012	+	6.11656i	−0.431853	+	0.207969i
$866$	12.3275	+	15.4581i	0.418904	+	0.525289i
$867$	0.587993	+	2.57617i	0.0199693	+	0.0874912i
$868$	11.1513	−	13.4782i	0.378501	−	0.457480i
$869$	−5.78882	+	25.3625i	−0.196372	+	0.860363i
$870$	5.75680	−	2.77233i	0.195174	−	0.0939908i
$871$	−0.501089	+	2.19541i	−0.0169787	+	0.0743887i
$872$	2.81240	+	3.52664i	0.0952399	+	0.119427i
$873$	2.03315	+	8.90783i	0.0688119	+	0.301485i
$874$	−8.17478	+	10.2508i	−0.276516	+	0.346740i
$875$	19.5536	−	23.6337i	0.661033	−	0.798965i
$876$	1.00978	+	1.26622i	0.0341172	+	0.0427816i
$877$	1.79735	−	2.25381i	0.0606922	−	0.0761056i	−0.750559	−	0.660804i	$-0.770216\pi$
$877$	1.79735	−	2.25381i	0.0606922	−	0.0761056i	0.811251	+	0.584698i	$0.198787\pi$
$878$	−18.3296	−	8.82706i	−0.618594	−	0.297899i
$879$	−3.45206	+	4.32874i	−0.116435	+	0.146005i
$880$	1.02057	−	4.47142i	0.0344035	−	0.150731i
$881$	26.5124			0.893225			0.446612	−	0.894727i	$-0.352630\pi$
$881$	26.5124			0.893225			0.446612	+	0.894727i	$0.352630\pi$
$882$	−17.7069	−	9.32688i	−0.596221	−	0.314052i
$883$	14.7374			0.495952			0.247976	−	0.968766i	$-0.420235\pi$
$883$	14.7374			0.495952			0.247976	+	0.968766i	$0.420235\pi$
$884$	−6.23834	+	27.3320i	−0.209818	+	0.919273i
$885$	1.37934	−	1.72964i	0.0463660	−	0.0581411i
$886$	5.38810	+	2.59477i	0.181017	+	0.0871731i
$887$	22.8020	−	28.5928i	0.765617	−	0.960054i	−0.234309	−	0.972162i	$-0.575283\pi$
$887$	22.8020	−	28.5928i	0.765617	−	0.960054i	0.999927	+	0.0121083i	$0.00385428\pi$
$888$	0.960829	+	1.20484i	0.0322433	+	0.0404318i
$889$	7.18238	+	34.3037i	0.240889	+	1.15051i
$890$	1.29922	−	1.62918i	0.0435501	−	0.0546101i
$891$	3.69372	+	16.1833i	0.123744	+	0.542159i
$892$	−17.2422	−	21.6210i	−0.577311	−	0.723925i
$893$	0.565910	−	2.47942i	0.0189375	−	0.0829705i
$894$	8.04610	−	3.87480i	0.269102	−	0.129593i
$895$	−3.43216	+	15.0373i	−0.114724	+	0.502640i
$896$	−0.635079	+	2.56840i	−0.0212165	+	0.0858042i
$897$	−3.02681	−	13.2613i	−0.101062	−	0.442783i
$898$	2.06174	+	2.58534i	0.0688011	+	0.0862738i
$899$	−47.3342	+	22.7950i	−1.57869	+	0.760255i
$900$	1.18246			0.0394154
$901$	37.4809			1.24867
$902$	−12.0922	+	5.82330i	−0.402626	+	0.193895i
$903$	1.23355	−	4.98876i	0.0410501	−	0.166015i
$904$	11.6594	+	5.61488i	0.387787	+	0.186748i
$905$	26.2172	+	12.6255i	0.871489	+	0.419687i
$906$	1.86683	+	8.17912i	0.0620213	+	0.271733i
$907$	5.79119	+	25.3729i	0.192293	+	0.842492i	0.975371	+	0.220569i	$0.0707913\pi$
$907$	5.79119	+	25.3729i	0.192293	+	0.842492i	−0.783078	+	0.621923i	$0.786352\pi$
$908$	3.43792	+	1.65561i	0.114091	+	0.0549435i
$909$	−12.4978	−	6.01860i	−0.414524	−	0.199624i
$910$	−6.63974	−	31.7120i	−0.220105	−	1.05124i
$911$	5.64432	−	2.71816i	0.187005	−	0.0900567i	−0.338039	−	0.941132i	$-0.609763\pi$
$911$	5.64432	−	2.71816i	0.187005	−	0.0900567i	0.525043	+	0.851076i	$0.324049\pi$
$912$	0.777085			0.0257319
$913$	−14.5832			−0.482635
$914$	15.1184	−	7.28066i	0.500074	−	0.240823i
$915$	4.73175	+	5.93343i	0.156427	+	0.196153i
$916$	−4.66786	−	20.4512i	−0.154230	−	0.675727i
$917$	−27.1446	+	12.4752i	−0.896392	+	0.411966i
$918$	2.40010	−	10.5155i	0.0792151	−	0.347064i
$919$	41.5474	−	20.0082i	1.37052	−	0.660009i	0.403567	−	0.914950i	$-0.367770\pi$
$919$	41.5474	−	20.0082i	1.37052	−	0.660009i	0.966957	+	0.254941i	$0.0820560\pi$
$920$	−3.01909	+	13.2275i	−0.0995365	+	0.436098i
$921$	−5.32608	−	6.67869i	−0.175500	−	0.220070i
$922$	−6.34275	−	27.7894i	−0.208887	−	0.915195i
$923$	−44.9088	+	56.3139i	−1.47819	+	1.85359i
$924$	−2.12719	−	0.0383037i	−0.0699793	−	0.00126010i
$925$	−1.05834	−	1.32712i	−0.0347981	−	0.0436355i
$926$	−10.5405	+	13.2173i	−0.346382	+	0.434349i
$927$	−36.0371	−	17.3546i	−1.18362	−	0.569999i
$928$	4.95420	−	6.21237i	0.162630	−	0.203931i
$929$	−3.97059	+	17.3963i	−0.130271	+	0.570753i	0.867090	+	0.498151i	$0.165987\pi$
$929$	−3.97059	+	17.3963i	−0.130271	+	0.570753i	−0.997361	+	0.0726021i	$0.976870\pi$
$930$	−5.31678			−0.174344
$931$	12.8175	+	6.75146i	0.420077	+	0.221270i
$932$	13.8166			0.452578
$933$	0.439741	−	1.92663i	0.0143965	−	0.0630750i
$934$	−9.83075	+	12.3274i	−0.321672	+	0.403364i
$935$	20.2594	+	9.75640i	0.662552	+	0.319068i
$936$	10.1930	−	12.7816i	0.333167	−	0.417778i
$937$	7.11336	+	8.91987i	0.232383	+	0.291399i	0.884327	−	0.466868i	$-0.154618\pi$
$937$	7.11336	+	8.91987i	0.232383	+	0.291399i	−0.651944	+	0.758267i	$0.726046\pi$
$938$	−0.930454	−	0.468904i	−0.0303804	−	0.0153102i
$939$	−6.51971	+	8.17545i	−0.212763	+	0.266796i
$940$	−0.585607	−	2.56571i	−0.0191004	−	0.0836843i
$941$	−7.83595	−	9.82597i	−0.255445	−	0.320317i	0.637529	−	0.770426i	$-0.279957\pi$
$941$	−7.83595	−	9.82597i	−0.255445	−	0.320317i	−0.892974	+	0.450109i	$0.851385\pi$
$942$	0.802395	−	3.51552i	0.0261434	−	0.114542i
$943$	35.7716	−	17.2267i	1.16488	−	0.560978i
$944$	0.612189	−	2.68218i	0.0199251	−	0.0872974i
$945$	2.55453	+	12.2007i	0.0830989	+	0.396888i
$946$	2.46517	+	10.8006i	0.0801495	+	0.351158i
$947$	−31.4730	−	39.4659i	−1.02273	−	1.28247i	−0.958669	−	0.284522i	$-0.908165\pi$
$947$	−31.4730	−	39.4659i	−1.02273	−	1.28247i	−0.0640645	−	0.997946i	$-0.520406\pi$
$948$	−4.10944	+	1.97900i	−0.133469	+	0.0642751i
$949$	−24.6638			−0.800621
$950$	−0.855952			−0.0277707
$951$	−7.99615	+	3.85074i	−0.259293	+	0.124869i
$952$	−11.5838	−	5.83765i	−0.375432	−	0.189199i
$953$	7.06797	+	3.40375i	0.228954	+	0.110258i	0.544844	−	0.838537i	$-0.316589\pi$
$953$	7.06797	+	3.40375i	0.228954	+	0.110258i	−0.315890	+	0.948796i	$0.602303\pi$
$954$	−19.6921	−	9.48321i	−0.637555	−	0.307030i
$955$	4.82601	+	21.1441i	0.156166	+	0.684207i
$956$	−1.55449	−	6.81067i	−0.0502758	−	0.220273i
$957$	5.75680	+	2.77233i	0.186091	+	0.0896167i
$958$	0.0477242	+	0.0229828i	0.00154190	+	0.000742540i
$959$	19.3788	−	8.90617i	0.625775	−	0.287595i
$960$	0.724498	−	0.348900i	0.0233831	−	0.0112607i
$961$	12.7162			0.410201
$962$	−23.4683			−0.756647
$963$	13.9085	−	6.69799i	0.448196	−	0.215840i
$964$	4.94438	+	6.20006i	0.159248	+	0.199690i
$965$	3.68863	+	16.1610i	0.118741	+	0.520240i
$966$	6.29272	+	0.113311i	0.202465	+	0.00364573i
$967$	−1.66684	+	7.30289i	−0.0536018	+	0.234845i	−0.994632	−	0.103479i	$-0.967003\pi$
$967$	−1.66684	+	7.30289i	−0.0536018	+	0.234845i	0.941030	+	0.338324i	$0.109860\pi$
$968$	−5.77845	+	2.78275i	−0.185726	+	0.0894411i
$969$	−0.847779	+	3.71436i	−0.0272346	+	0.119323i
$970$	−4.26726	−	5.35098i	−0.137014	−	0.171810i
$971$	0.926266	+	4.05823i	0.0297253	+	0.130235i	0.987613	−	0.156907i	$-0.0501521\pi$
$971$	0.926266	+	4.05823i	0.0297253	+	0.130235i	−0.957888	+	0.287142i	$0.907295\pi$
$972$	−5.92955	+	7.43541i	−0.190190	+	0.238491i
$973$	−32.4770	−	42.2640i	−1.04117	−	1.35492i
$974$	−10.6687	−	13.3781i	−0.341846	−	0.428661i
$975$	0.553664	−	0.694273i	0.0177314	−	0.0222345i
$976$	8.50307	+	4.09486i	0.272177	+	0.131073i
$977$	9.57651	−	12.0086i	0.306380	−	0.384188i	−0.604676	−	0.796472i	$-0.706697\pi$
$977$	9.57651	−	12.0086i	0.306380	−	0.384188i	0.911055	+	0.412284i	$0.135269\pi$
$978$	0.449957	−	1.97139i	0.0143880	−	0.0630382i
$979$	2.08379			0.0665983
$980$	14.9814	+	0.539707i	0.478564	+	0.0172403i
$981$	12.8963			0.411746
$982$	−5.73471	+	25.1254i	−0.183002	+	0.801784i
$983$	17.3773	−	21.7904i	0.554249	−	0.695007i	−0.423234	−	0.906021i	$-0.639105\pi$
$983$	17.3773	−	21.7904i	0.554249	−	0.695007i	0.977483	+	0.211014i	$0.0676765\pi$
$984$	−2.12012	−	1.02099i	−0.0675869	−	0.0325481i
$985$	0.775630	−	0.972609i	0.0247136	−	0.0309899i
$986$	24.2894	+	30.4580i	0.773533	+	0.969979i
$987$	−1.10925	+	0.509790i	−0.0353077	+	0.0162268i
$988$	−7.37839	+	9.25221i	−0.234738	+	0.294352i
$989$	−7.29254	−	31.9507i	−0.231889	−	1.01597i
$990$	−8.17557	−	10.2518i	−0.259837	−	0.325825i
$991$	5.00658	−	21.9352i	0.159039	−	0.696796i	−0.831031	−	0.556225i	$-0.812249\pi$
$991$	5.00658	−	21.9352i	0.159039	−	0.696796i	0.990071	−	0.140571i	$-0.0448937\pi$
$992$	−5.95705	+	2.86876i	−0.189136	+	0.0910833i
$993$	2.43298	−	10.6596i	0.0772082	−	0.338271i
$994$	−20.3066	−	26.4260i	−0.644086	−	0.838182i
$995$	−9.63503	−	42.2138i	−0.305451	−	1.33827i
$996$	−1.59418	−	1.99904i	−0.0505136	−	0.0633420i
$997$	−5.42799	+	2.61398i	−0.171906	+	0.0827856i	−0.517858	−	0.855467i	$-0.673270\pi$
$997$	−5.42799	+	2.61398i	−0.171906	+	0.0827856i	0.345952	+	0.938252i	$0.387556\pi$
$998$	14.2532			0.451177
$999$	9.02903			0.285666

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	98.2.e.b.15.2	✓	18
3.2	odd	2		882.2.u.g.505.1		18
4.3	odd	2		784.2.u.d.113.2		18
7.2	even	3		686.2.g.h.67.2		36
7.3	odd	6		686.2.g.g.177.2		36
7.4	even	3		686.2.g.h.177.2		36
7.5	odd	6		686.2.g.g.67.2		36
7.6	odd	2		686.2.e.b.99.2		18
49.2	even	21		686.2.g.h.655.2		36
49.6	odd	14		4802.2.a.c.1.6		9
49.11	even	21		686.2.g.h.471.2		36
49.13	odd	14		686.2.e.b.589.2		18
49.36	even	7	inner	98.2.e.b.85.2	yes	18
49.38	odd	42		686.2.g.g.471.2		36
49.43	even	7		4802.2.a.d.1.4		9
49.47	odd	42		686.2.g.g.655.2		36
147.134	odd	14		882.2.u.g.379.1		18
196.183	odd	14		784.2.u.d.673.2		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
98.2.e.b.15.2	✓	18	1.1	even	1	trivial
98.2.e.b.85.2	yes	18	49.36	even	7	inner
686.2.e.b.99.2		18	7.6	odd	2
686.2.e.b.589.2		18	49.13	odd	14
686.2.g.g.67.2		36	7.5	odd	6
686.2.g.g.177.2		36	7.3	odd	6
686.2.g.g.471.2		36	49.38	odd	42
686.2.g.g.655.2		36	49.47	odd	42
686.2.g.h.67.2		36	7.2	even	3
686.2.g.h.177.2		36	7.4	even	3
686.2.g.h.471.2		36	49.11	even	21
686.2.g.h.655.2		36	49.2	even	21
784.2.u.d.113.2		18	4.3	odd	2
784.2.u.d.673.2		18	196.183	odd	14
882.2.u.g.379.1		18	147.134	odd	14
882.2.u.g.505.1		18	3.2	odd	2
4802.2.a.c.1.6		9	49.6	odd	14
4802.2.a.d.1.4		9	49.43	even	7

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:	\( N \)	\(=\)	\( 98 = 2 \cdot 7^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	98.e (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.222521 - 0.974928i) q^{2} +(-0.234110 + 0.293565i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(1.33526 - 1.67436i) q^{5} +(0.234110 + 0.293565i) q^{6} +(0.635079 - 2.56840i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(0.636190 + 2.78733i) q^{9} +O(q^{10})\)	\(q+(0.222521 - 0.974928i) q^{2} +(-0.234110 + 0.293565i) q^{3} +(-0.900969 - 0.433884i) q^{4} +(1.33526 - 1.67436i) q^{5} +(0.234110 + 0.293565i) q^{6} +(0.635079 - 2.56840i) q^{7} +(-0.623490 + 0.781831i) q^{8} +(0.636190 + 2.78733i) q^{9} +(-1.33526 - 1.67436i) q^{10} +(0.476549 - 2.08790i) q^{11} +(0.338299 - 0.162916i) q^{12} +(-1.27241 + 5.57477i) q^{13} +(-2.36269 - 1.19068i) q^{14} +(0.178936 + 0.783970i) q^{15} +(0.623490 + 0.781831i) q^{16} +(-4.41726 + 2.12724i) q^{17} +2.85901 q^{18} -2.06956 q^{19} +(-1.92951 + 0.929201i) q^{20} +(0.605313 + 0.787725i) q^{21} +(-1.92951 - 0.929201i) q^{22} +(5.70793 + 2.74879i) q^{23} +(-0.0835529 - 0.366069i) q^{24} +(0.0920327 + 0.403222i) q^{25} +(5.15187 + 2.48101i) q^{26} +(-1.98210 - 0.954528i) q^{27} +(-1.68657 + 2.03850i) q^{28} +(7.15903 - 3.44761i) q^{29} +0.804132 q^{30} -6.61182 q^{31} +(0.900969 - 0.433884i) q^{32} +(0.501368 + 0.628695i) q^{33} +(1.09097 + 4.77987i) q^{34} +(-3.45244 - 4.49283i) q^{35} +(0.636190 - 2.78733i) q^{36} +(-3.69774 + 1.78074i) q^{37} +(-0.460520 + 2.01767i) q^{38} +(-1.33867 - 1.67864i) q^{39} +(0.476549 + 2.08790i) q^{40} +(3.90741 - 4.89973i) q^{41} +(0.902670 - 0.414851i) q^{42} +(-3.22529 - 4.04438i) q^{43} +(-1.33526 + 1.67436i) q^{44} +(5.51648 + 2.65660i) q^{45} +(3.95001 - 4.95316i) q^{46} +(-0.273445 + 1.19804i) q^{47} -0.375483 q^{48} +(-6.19335 - 3.26227i) q^{49} +0.413591 q^{50} +(0.409643 - 1.79476i) q^{51} +(3.56520 - 4.47062i) q^{52} +(-6.88773 - 3.31695i) q^{53} +(-1.37165 + 1.72000i) q^{54} +(-2.85958 - 3.58580i) q^{55} +(1.61209 + 2.09790i) q^{56} +(0.484504 - 0.607549i) q^{57} +(-1.76813 - 7.74670i) q^{58} +(-1.71532 - 2.15094i) q^{59} +(0.178936 - 0.783970i) q^{60} +(8.50307 - 4.09486i) q^{61} +(-1.47127 + 6.44605i) q^{62} +(7.56301 + 0.136185i) q^{63} +(-0.222521 - 0.974928i) q^{64} +(7.63520 + 9.57424i) q^{65} +(0.724498 - 0.348900i) q^{66} +0.393812 q^{67} +4.90279 q^{68} +(-2.14323 + 1.03213i) q^{69} +(-5.14843 + 2.36613i) q^{70} +(11.3490 + 5.46539i) q^{71} +(-2.57588 - 1.24048i) q^{72} +(0.959790 + 4.20511i) q^{73} +(0.913265 + 4.00128i) q^{74} +(-0.139917 - 0.0673807i) q^{75} +(1.86461 + 0.897948i) q^{76} +(-5.05990 - 2.54995i) q^{77} +(-1.93444 + 0.931577i) q^{78} -12.1474 q^{79} +2.14159 q^{80} +(-6.98340 + 3.36303i) q^{81} +(-3.90741 - 4.89973i) q^{82} +(-1.51526 - 6.63881i) q^{83} +(-0.203587 - 0.972351i) q^{84} +(-2.33642 + 10.2365i) q^{85} +(-4.66068 + 2.24446i) q^{86} +(-0.663905 + 2.90876i) q^{87} +(1.33526 + 1.67436i) q^{88} +(0.216516 + 0.948617i) q^{89} +(3.81752 - 4.78702i) q^{90} +(13.5102 + 6.80847i) q^{91} +(-3.95001 - 4.95316i) q^{92} +(1.54789 - 1.94100i) q^{93} +(1.10716 + 0.533178i) q^{94} +(-2.76340 + 3.46519i) q^{95} +(-0.0835529 + 0.366069i) q^{96} +3.19583 q^{97} +(-4.55863 + 5.31215i) q^{98} +6.12283 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9}+O(q^{10}) \) 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9	\( 18 q + 3 q^{2} - 5 q^{3} - 3 q^{4} + 5 q^{6} - q^{7} + 3 q^{8} - 10 q^{9} + 7 q^{11} + 2 q^{12} - 10 q^{13} + q^{14} + 7 q^{15} - 3 q^{16} + q^{17} - 32 q^{18} - 44 q^{19} + 7 q^{20} - 5 q^{21} + 7 q^{22} + 21 q^{23} - 2 q^{24} + q^{25} + 3 q^{26} + 10 q^{27} - 8 q^{28} + 11 q^{29} - 24 q^{31} + 3 q^{32} - 14 q^{33} - q^{34} - 21 q^{35} - 10 q^{36} - 13 q^{37} - 19 q^{38} - 3 q^{39} + 7 q^{40} + 8 q^{41} + 61 q^{42} - 24 q^{43} + 98 q^{45} + 21 q^{46} + 40 q^{47} + 2 q^{48} - 43 q^{49} - 50 q^{50} + 36 q^{51} + 18 q^{52} + 10 q^{53} + 4 q^{54} + 49 q^{55} + q^{56} + 19 q^{57} + 24 q^{58} + 13 q^{59} + 7 q^{60} + 27 q^{61} - 11 q^{62} + 41 q^{63} - 3 q^{64} - 21 q^{66} - 86 q^{67} - 34 q^{68} - 91 q^{69} - 14 q^{70} + 3 q^{72} + 5 q^{73} + 13 q^{74} - 3 q^{75} - 2 q^{76} - 14 q^{77} + 38 q^{78} - 66 q^{79} - 2 q^{81} - 8 q^{82} + 55 q^{83} + 23 q^{84} - 49 q^{85} - 18 q^{86} - 110 q^{87} + 62 q^{89} + 21 q^{90} + 39 q^{91} - 21 q^{92} + 46 q^{93} + 23 q^{94} - 7 q^{95} - 2 q^{96} - 32 q^{97} - 48 q^{98} + 14 q^{99}+O(q^{100}) \) 18 * q + 3 * q^2 - 5 * q^3 - 3 * q^4 + 5 * q^6 - q^7 + 3 * q^8 - 10 * q^9 + 7 * q^11 + 2 * q^12 - 10 * q^13 + q^14 + 7 * q^15 - 3 * q^16 + q^17 - 32 * q^18 - 44 * q^19 + 7 * q^20 - 5 * q^21 + 7 * q^22 + 21 * q^23 - 2 * q^24 + q^25 + 3 * q^26 + 10 * q^27 - 8 * q^28 + 11 * q^29 - 24 * q^31 + 3 * q^32 - 14 * q^33 - q^34 - 21 * q^35 - 10 * q^36 - 13 * q^37 - 19 * q^38 - 3 * q^39 + 7 * q^40 + 8 * q^41 + 61 * q^42 - 24 * q^43 + 98 * q^45 + 21 * q^46 + 40 * q^47 + 2 * q^48 - 43 * q^49 - 50 * q^50 + 36 * q^51 + 18 * q^52 + 10 * q^53 + 4 * q^54 + 49 * q^55 + q^56 + 19 * q^57 + 24 * q^58 + 13 * q^59 + 7 * q^60 + 27 * q^61 - 11 * q^62 + 41 * q^63 - 3 * q^64 - 21 * q^66 - 86 * q^67 - 34 * q^68 - 91 * q^69 - 14 * q^70 + 3 * q^72 + 5 * q^73 + 13 * q^74 - 3 * q^75 - 2 * q^76 - 14 * q^77 + 38 * q^78 - 66 * q^79 - 2 * q^81 - 8 * q^82 + 55 * q^83 + 23 * q^84 - 49 * q^85 - 18 * q^86 - 110 * q^87 + 62 * q^89 + 21 * q^90 + 39 * q^91 - 21 * q^92 + 46 * q^93 + 23 * q^94 - 7 * q^95 - 2 * q^96 - 32 * q^97 - 48 * q^98 + 14 * q^99

Introduction

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