LMFDB - Embedded newform 418.2.j.a.23.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [418,2,Mod(23,418)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(418, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 2]))

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

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

chi := DirichletCharacter("418.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 418 = 2 \cdot 11 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	418.j (of order $9$, 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:	$3.33774680449$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			23.4
Character	$\chi$	$=$	418.23
Dual form			418.2.j.a.309.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 + 0.342020i) q^{2} +(0.408129 + 2.31461i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.33673 + 1.12165i) q^{5} +(-0.408129 + 2.31461i) q^{6} +(-0.571336 + 0.989583i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.37179 + 0.863259i) q^{9} +O(q^{10})$	\(q+(0.939693 + 0.342020i) q^{2} +(0.408129 + 2.31461i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.33673 + 1.12165i) q^{5} +(-0.408129 + 2.31461i) q^{6} +(-0.571336 + 0.989583i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.37179 + 0.863259i) q^{9} +(-1.63974 + 0.596815i) q^{10} +(0.500000 + 0.866025i) q^{11} +(-1.17516 + 2.03544i) q^{12} +(0.721413 - 4.09134i) q^{13} +(-0.875338 + 0.734496i) q^{14} +(-3.14173 - 2.63623i) q^{15} +(0.173648 + 0.984808i) q^{16} +(0.627357 + 0.228339i) q^{17} -2.52400 q^{18} +(-4.34619 + 0.332625i) q^{19} -1.74497 q^{20} +(-2.52368 - 0.918545i) q^{21} +(0.173648 + 0.984808i) q^{22} +(2.34698 + 1.96935i) q^{23} +(-1.80045 + 1.51076i) q^{24} +(-0.339495 + 1.92537i) q^{25} +(2.07723 - 3.59786i) q^{26} +(0.559375 + 0.968865i) q^{27} +(-1.07376 + 0.390817i) q^{28} +(8.97618 - 3.26706i) q^{29} +(-2.05062 - 3.55178i) q^{30} +(0.813077 - 1.40829i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-1.80045 + 1.51076i) q^{33} +(0.511426 + 0.429137i) q^{34} +(-0.346242 - 1.96364i) q^{35} +(-2.37179 - 0.863259i) q^{36} +1.55925 q^{37} +(-4.19785 - 1.17392i) q^{38} +9.76429 q^{39} +(-1.63974 - 0.596815i) q^{40} +(-1.17039 - 6.63759i) q^{41} +(-2.05732 - 1.72630i) q^{42} +(-5.65517 + 4.74525i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(2.20215 - 3.81424i) q^{45} +(1.53188 + 2.65330i) q^{46} +(0.360003 - 0.131030i) q^{47} +(-2.20858 + 0.803857i) q^{48} +(2.84715 + 4.93141i) q^{49} +(-0.977538 + 1.69314i) q^{50} +(-0.272475 + 1.54528i) q^{51} +(3.18250 - 2.67043i) q^{52} +(-2.73528 - 2.29517i) q^{53} +(0.194269 + 1.10175i) q^{54} +(-1.63974 - 0.596815i) q^{55} -1.14267 q^{56} +(-2.54370 - 9.92399i) q^{57} +9.55225 q^{58} +(7.23339 + 2.63274i) q^{59} +(-0.712173 - 4.03893i) q^{60} +(6.51585 + 5.46745i) q^{61} +(1.24571 - 1.04527i) q^{62} +(0.500820 - 2.84029i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(3.62470 + 6.27817i) q^{65} +(-2.20858 + 0.803857i) q^{66} +(6.51712 - 2.37204i) q^{67} +(0.333810 + 0.578175i) q^{68} +(-3.60042 + 6.23610i) q^{69} +(0.346242 - 1.96364i) q^{70} +(0.827736 - 0.694553i) q^{71} +(-1.93350 - 1.62240i) q^{72} +(-1.71758 - 9.74089i) q^{73} +(1.46521 + 0.533294i) q^{74} -4.59505 q^{75} +(-3.54318 - 2.53887i) q^{76} -1.14267 q^{77} +(9.17543 + 3.33958i) q^{78} +(1.58022 + 8.96189i) q^{79} +(-1.33673 - 1.12165i) q^{80} +(-7.81474 + 6.55735i) q^{81} +(1.17039 - 6.63759i) q^{82} +(7.54945 - 13.0760i) q^{83} +(-1.34282 - 2.32584i) q^{84} +(-1.09472 + 0.398445i) q^{85} +(-6.93710 + 2.52490i) q^{86} +(11.2254 + 19.4430i) q^{87} +(-0.500000 + 0.866025i) q^{88} +(1.02856 - 5.83328i) q^{89} +(3.37390 - 2.83104i) q^{90} +(3.63655 + 3.05143i) q^{91} +(0.532018 + 3.01722i) q^{92} +(3.59149 + 1.30720i) q^{93} +0.383107 q^{94} +(5.43658 - 5.31951i) q^{95} -2.35032 q^{96} +(-12.3127 - 4.48147i) q^{97} +(0.988805 + 5.60779i) q^{98} +(-1.93350 - 1.62240i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q + 12 q^{8}+O(q^{10}) $ 24 * q + 12 * q^8	$ 24 q + 12 q^{8} + 12 q^{11} - 3 q^{12} - 3 q^{13} + 3 q^{14} + 27 q^{15} - 6 q^{18} - 21 q^{19} - 18 q^{20} + 15 q^{21} + 9 q^{23} + 36 q^{25} - 21 q^{27} - 3 q^{28} - 9 q^{30} - 27 q^{31} - 9 q^{34} - 45 q^{35} + 18 q^{37} + 9 q^{38} + 36 q^{39} - 18 q^{41} + 39 q^{42} - 48 q^{43} + 36 q^{45} - 18 q^{46} - 9 q^{47} + 6 q^{49} + 3 q^{50} - 18 q^{51} - 3 q^{52} - 36 q^{53} - 45 q^{54} + 18 q^{58} + 9 q^{59} - 9 q^{60} + 15 q^{61} - 33 q^{62} + 87 q^{63} - 12 q^{64} - 36 q^{65} + 33 q^{67} + 9 q^{68} - 18 q^{69} + 45 q^{70} - 9 q^{71} - 3 q^{73} + 3 q^{74} + 42 q^{75} + 9 q^{76} + 12 q^{78} + 15 q^{79} - 108 q^{81} + 18 q^{82} + 36 q^{83} - 9 q^{84} - 99 q^{85} - 33 q^{86} + 63 q^{87} - 12 q^{88} - 27 q^{89} - 36 q^{90} - 21 q^{91} - 9 q^{92} - 21 q^{93} + 54 q^{94} + 18 q^{95} - 6 q^{96} + 45 q^{97} + 39 q^{98}+O(q^{100}) $ 24 * q + 12 * q^8 + 12 * q^11 - 3 * q^12 - 3 * q^13 + 3 * q^14 + 27 * q^15 - 6 * q^18 - 21 * q^19 - 18 * q^20 + 15 * q^21 + 9 * q^23 + 36 * q^25 - 21 * q^27 - 3 * q^28 - 9 * q^30 - 27 * q^31 - 9 * q^34 - 45 * q^35 + 18 * q^37 + 9 * q^38 + 36 * q^39 - 18 * q^41 + 39 * q^42 - 48 * q^43 + 36 * q^45 - 18 * q^46 - 9 * q^47 + 6 * q^49 + 3 * q^50 - 18 * q^51 - 3 * q^52 - 36 * q^53 - 45 * q^54 + 18 * q^58 + 9 * q^59 - 9 * q^60 + 15 * q^61 - 33 * q^62 + 87 * q^63 - 12 * q^64 - 36 * q^65 + 33 * q^67 + 9 * q^68 - 18 * q^69 + 45 * q^70 - 9 * q^71 - 3 * q^73 + 3 * q^74 + 42 * q^75 + 9 * q^76 + 12 * q^78 + 15 * q^79 - 108 * q^81 + 18 * q^82 + 36 * q^83 - 9 * q^84 - 99 * q^85 - 33 * q^86 + 63 * q^87 - 12 * q^88 - 27 * q^89 - 36 * q^90 - 21 * q^91 - 9 * q^92 - 21 * q^93 + 54 * q^94 + 18 * q^95 - 6 * q^96 + 45 * q^97 + 39 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/418\mathbb{Z}\right)^\times$.

$n$	$287$	$343$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$1$

Coefficient data

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

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

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

$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$2$	0.939693	+	0.342020i	0.664463	+	0.241845i
$3$	0.408129	+	2.31461i	0.235633	+	1.33634i	0.841276	+	0.540606i	$0.181805\pi$
$3$	0.408129	+	2.31461i	0.235633	+	1.33634i	−0.605643	+	0.795737i	$0.707084\pi$
$4$	0.766044	+	0.642788i	0.383022	+	0.321394i
$5$	−1.33673	+	1.12165i	−0.597802	+	0.501615i	−0.890738	−	0.454517i	$-0.849812\pi$
$5$	−1.33673	+	1.12165i	−0.597802	+	0.501615i	0.292936	+	0.956132i	$0.405368\pi$
$6$	−0.408129	+	2.31461i	−0.166618	+	0.944937i
$7$	−0.571336	+	0.989583i	−0.215945	+	0.374027i	−0.953564	−	0.301189i	$-0.902616\pi$
$7$	−0.571336	+	0.989583i	−0.215945	+	0.374027i	0.737620	+	0.675216i	$0.235950\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	−2.37179	+	0.863259i	−0.790595	+	0.287753i
$10$	−1.63974	+	0.596815i	−0.518530	+	0.188730i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$11$	0.500000	+	0.866025i	0.150756	+	0.261116i
$12$	−1.17516	+	2.03544i	−0.339239	+	0.587580i
$13$	0.721413	−	4.09134i	0.200084	−	1.13473i	−0.704906	−	0.709301i	$-0.749011\pi$
$13$	0.721413	−	4.09134i	0.200084	−	1.13473i	0.904990	−	0.425432i	$-0.139878\pi$
$14$	−0.875338	+	0.734496i	−0.233944	+	0.196302i
$15$	−3.14173	−	2.63623i	−0.811192	−	0.680671i
$16$	0.173648	+	0.984808i	0.0434120	+	0.246202i
$17$	0.627357	+	0.228339i	0.152156	+	0.0553804i	0.416976	−	0.908918i	$-0.363090\pi$
$17$	0.627357	+	0.228339i	0.152156	+	0.0553804i	−0.264819	+	0.964298i	$0.585312\pi$
$18$	−2.52400			−0.594913
$19$	−4.34619	+	0.332625i	−0.997084	+	0.0763094i
$19$	−4.34619	+	0.332625i	−0.997084	+	0.0763094i
$20$	−1.74497			−0.390187
$21$	−2.52368	−	0.918545i	−0.550712	−	0.200443i
$22$	0.173648	+	0.984808i	0.0370219	+	0.209962i
$23$	2.34698	+	1.96935i	0.489380	+	0.410638i	0.853804	−	0.520595i	$-0.174290\pi$
$23$	2.34698	+	1.96935i	0.489380	+	0.410638i	−0.364424	+	0.931233i	$0.618734\pi$
$24$	−1.80045	+	1.51076i	−0.367515	+	0.308382i
$25$	−0.339495	+	1.92537i	−0.0678990	+	0.385075i
$26$	2.07723	−	3.59786i	0.407378	−	0.705599i
$27$	0.559375	+	0.968865i	0.107652	+	0.186458i
$28$	−1.07376	+	0.390817i	−0.202922	+	0.0738575i
$29$	8.97618	−	3.26706i	1.66683	−	0.606678i	0.675419	−	0.737434i	$-0.263963\pi$
$29$	8.97618	−	3.26706i	1.66683	−	0.606678i	0.991415	+	0.130756i	$0.0417404\pi$
$30$	−2.05062	−	3.55178i	−0.374390	−	0.648463i
$31$	0.813077	−	1.40829i	0.146033	−	0.252937i	−0.783725	−	0.621108i	$-0.786683\pi$
$31$	0.813077	−	1.40829i	0.146033	−	0.252937i	0.929758	+	0.368172i	$0.120016\pi$
$32$	−0.173648	+	0.984808i	−0.0306970	+	0.174091i
$33$	−1.80045	+	1.51076i	−0.313418	+	0.262989i
$34$	0.511426	+	0.429137i	0.0877088	+	0.0735965i
$35$	−0.346242	−	1.96364i	−0.0585256	−	0.331915i
$36$	−2.37179	−	0.863259i	−0.395298	−	0.143877i
$37$	1.55925			0.256339			0.128169	−	0.991752i	$-0.459090\pi$
$37$	1.55925			0.256339			0.128169	+	0.991752i	$0.459090\pi$
$38$	−4.19785	−	1.17392i	−0.680981	−	0.190435i
$39$	9.76429			1.56354
$40$	−1.63974	−	0.596815i	−0.259265	−	0.0943648i
$41$	−1.17039	−	6.63759i	−0.182784	−	1.03662i	−0.928770	−	0.370656i	$-0.879133\pi$
$41$	−1.17039	−	6.63759i	−0.182784	−	1.03662i	0.745986	−	0.665961i	$-0.231978\pi$
$42$	−2.05732	−	1.72630i	−0.317452	−	0.266374i
$43$	−5.65517	+	4.74525i	−0.862406	+	0.723645i	−0.962485	−	0.271335i	$-0.912535\pi$
$43$	−5.65517	+	4.74525i	−0.862406	+	0.723645i	0.100079	+	0.994979i	$0.468090\pi$
$44$	−0.173648	+	0.984808i	−0.0261784	+	0.148465i
$45$	2.20215	−	3.81424i	0.328278	−	0.568594i
$46$	1.53188	+	2.65330i	0.225864	+	0.391208i
$47$	0.360003	−	0.131030i	0.0525119	−	0.0191128i	−0.315631	−	0.948882i	$-0.602216\pi$
$47$	0.360003	−	0.131030i	0.0525119	−	0.0191128i	0.368143	+	0.929769i	$0.379994\pi$
$48$	−2.20858	+	0.803857i	−0.318781	+	0.116027i
$49$	2.84715	+	4.93141i	0.406736	+	0.704487i
$50$	−0.977538	+	1.69314i	−0.138245	+	0.239447i
$51$	−0.272475	+	1.54528i	−0.0381541	+	0.216383i
$52$	3.18250	−	2.67043i	0.441333	−	0.370322i
$53$	−2.73528	−	2.29517i	−0.375719	−	0.315266i	0.435300	−	0.900285i	$-0.356642\pi$
$53$	−2.73528	−	2.29517i	−0.375719	−	0.315266i	−0.811019	+	0.585020i	$0.801087\pi$
$54$	0.194269	+	1.10175i	0.0264366	+	0.149930i
$55$	−1.63974	−	0.596815i	−0.221102	−	0.0804746i
$56$	−1.14267			−0.152696
$57$	−2.54370	−	9.92399i	−0.336922	−	1.31446i
$58$	9.55225			1.25427
$59$	7.23339	+	2.63274i	0.941707	+	0.342753i	0.766840	−	0.641839i	$-0.221828\pi$
$59$	7.23339	+	2.63274i	0.941707	+	0.342753i	0.174867	+	0.984592i	$0.444050\pi$
$60$	−0.712173	−	4.03893i	−0.0919411	−	0.521424i
$61$	6.51585	+	5.46745i	0.834269	+	0.700035i	0.956267	−	0.292495i	$-0.0944856\pi$
$61$	6.51585	+	5.46745i	0.834269	+	0.700035i	−0.121998	+	0.992530i	$0.538930\pi$
$62$	1.24571	−	1.04527i	0.158205	−	0.132750i
$63$	0.500820	−	2.84029i	0.0630974	−	0.357843i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	3.62470	+	6.27817i	0.449589	+	0.778711i
$66$	−2.20858	+	0.803857i	−0.271857	+	0.0989479i
$67$	6.51712	−	2.37204i	0.796193	−	0.289790i	0.0882848	−	0.996095i	$-0.471861\pi$
$67$	6.51712	−	2.37204i	0.796193	−	0.289790i	0.707908	+	0.706305i	$0.249639\pi$
$68$	0.333810	+	0.578175i	0.0404804	+	0.0701141i
$69$	−3.60042	+	6.23610i	−0.433439	+	0.750739i
$70$	0.346242	−	1.96364i	0.0413839	−	0.234700i
$71$	0.827736	−	0.694553i	0.0982342	−	0.0824283i	−0.592348	−	0.805682i	$-0.701799\pi$
$71$	0.827736	−	0.694553i	0.0982342	−	0.0824283i	0.690582	+	0.723254i	$0.257354\pi$
$72$	−1.93350	−	1.62240i	−0.227865	−	0.191201i
$73$	−1.71758	−	9.74089i	−0.201028	−	1.14008i	−0.903569	−	0.428442i	$-0.859063\pi$
$73$	−1.71758	−	9.74089i	−0.201028	−	1.14008i	0.702542	−	0.711643i	$-0.252048\pi$
$74$	1.46521	+	0.533294i	0.170328	+	0.0619942i
$75$	−4.59505			−0.530591
$76$	−3.54318	−	2.53887i	−0.406431	−	0.291228i
$77$	−1.14267			−0.130220
$78$	9.17543	+	3.33958i	1.03891	+	0.378133i
$79$	1.58022	+	8.96189i	0.177789	+	1.00829i	0.934875	+	0.354976i	$0.115511\pi$
$79$	1.58022	+	8.96189i	0.177789	+	1.00829i	−0.757086	+	0.653315i	$0.773378\pi$
$80$	−1.33673	−	1.12165i	−0.149450	−	0.125404i
$81$	−7.81474	+	6.55735i	−0.868305	+	0.728594i
$82$	1.17039	−	6.63759i	0.129248	−	0.732999i
$83$	7.54945	−	13.0760i	0.828660	−	1.43528i	−0.0704299	−	0.997517i	$-0.522437\pi$
$83$	7.54945	−	13.0760i	0.828660	−	1.43528i	0.899090	−	0.437764i	$-0.144230\pi$
$84$	−1.34282	−	2.32584i	−0.146514	−	0.253770i
$85$	−1.09472	+	0.398445i	−0.118739	+	0.0432175i
$86$	−6.93710	+	2.52490i	−0.748046	+	0.272267i
$87$	11.2254	+	19.4430i	1.20349	+	2.08451i
$88$	−0.500000	+	0.866025i	−0.0533002	+	0.0923186i
$89$	1.02856	−	5.83328i	0.109028	−	0.618326i	−0.880507	−	0.474032i	$-0.842798\pi$
$89$	1.02856	−	5.83328i	0.109028	−	0.618326i	0.989535	−	0.144294i	$-0.0460909\pi$
$90$	3.37390	−	2.83104i	0.355640	−	0.298417i
$91$	3.63655	+	3.05143i	0.381214	+	0.319877i
$92$	0.532018	+	3.01722i	0.0554667	+	0.314567i
$93$	3.59149	+	1.30720i	0.372420	+	0.135550i
$94$	0.383107			0.0395145
$95$	5.43658	−	5.31951i	0.557781	−	0.545771i
$96$	−2.35032			−0.239878
$97$	−12.3127	−	4.48147i	−1.25017	−	0.455024i	−0.369710	−	0.929147i	$-0.620543\pi$
$97$	−12.3127	−	4.48147i	−1.25017	−	0.455024i	−0.880459	+	0.474123i	$0.842765\pi$
$98$	0.988805	+	5.60779i	0.0998844	+	0.566472i
$99$	−1.93350	−	1.62240i	−0.194324	−	0.163057i
$100$	−1.49767	+	1.25670i	−0.149767	+	0.125670i
$101$	2.08977	−	11.8517i	0.207940	−	1.17928i	−0.684806	−	0.728725i	$-0.740113\pi$
$101$	2.08977	−	11.8517i	0.207940	−	1.17928i	0.892746	−	0.450560i	$-0.148776\pi$
$102$	−0.784559	+	1.35890i	−0.0776829	+	0.134551i
$103$	−0.238496	−	0.413087i	−0.0234997	−	0.0407026i	0.854036	−	0.520213i	$-0.174148\pi$
$103$	−0.238496	−	0.413087i	−0.0234997	−	0.0407026i	−0.877536	+	0.479511i	$0.840814\pi$
$104$	3.90391	−	1.42091i	0.382810	−	0.139331i
$105$	4.40375	−	1.60283i	0.429762	−	0.156421i
$106$	−1.78533	−	3.09227i	−0.173406	−	0.300348i
$107$	0.0149684	−	0.0259261i	0.00144705	−	0.00250637i	−0.865301	−	0.501253i	$-0.832873\pi$
$107$	0.0149684	−	0.0259261i	0.00144705	−	0.00250637i	0.866748	+	0.498746i	$0.166206\pi$
$108$	−0.194269	+	1.10175i	−0.0186935	+	0.106016i
$109$	4.71262	−	3.95436i	0.451387	−	0.378759i	−0.388563	−	0.921422i	$-0.627028\pi$
$109$	4.71262	−	3.95436i	0.451387	−	0.378759i	0.839950	+	0.542663i	$0.182584\pi$
$110$	−1.33673	−	1.12165i	−0.127452	−	0.106945i
$111$	0.636374	+	3.60906i	0.0604019	+	0.342556i
$112$	−1.07376	−	0.390817i	−0.101461	−	0.0369287i
$113$	−11.7137			−1.10193			−0.550967	−	0.834527i	$-0.685741\pi$
$113$	−11.7137			−1.10193			−0.550967	+	0.834527i	$0.685741\pi$
$114$	1.00391	−	10.1955i	0.0940245	−	0.954896i
$115$	−5.34619			−0.498534
$116$	8.97618	+	3.26706i	0.833417	+	0.303339i
$117$	1.82085	+	10.3265i	0.168337	+	0.954689i
$118$	5.89671	+	4.94793i	0.542836	+	0.455494i
$119$	−0.584392	+	0.490363i	−0.0535712	+	0.0449515i
$120$	0.712173	−	4.03893i	0.0650122	−	0.368702i
$121$	−0.500000	+	0.866025i	−0.0454545	+	0.0787296i
$122$	4.25292	+	7.36627i	0.385041	+	0.666911i
$123$	14.8858	−	5.41798i	1.34221	−	0.488523i
$124$	1.52809	−	0.556178i	0.137226	−	0.0499462i
$125$	−6.06820	−	10.5104i	−0.542757	−	0.940082i
$126$	1.44205	−	2.49771i	0.128468	−	0.222514i
$127$	−1.27840	+	7.25018i	−0.113440	+	0.643350i	0.874071	+	0.485798i	$0.161471\pi$
$127$	−1.27840	+	7.25018i	−0.113440	+	0.643350i	−0.987511	+	0.157551i	$0.949640\pi$
$128$	−0.766044	+	0.642788i	−0.0677094	+	0.0568149i
$129$	−13.2915	−	11.1529i	−1.17025	−	0.981955i
$130$	1.25885	+	7.13927i	0.110408	+	0.626155i
$131$	−4.14013	−	1.50688i	−0.361725	−	0.131657i	0.154763	−	0.987952i	$-0.450539\pi$
$131$	−4.14013	−	1.50688i	−0.361725	−	0.131657i	−0.516488	+	0.856295i	$0.672761\pi$
$132$	−2.35032			−0.204569
$133$	2.15397	−	4.49096i	0.186773	−	0.389415i
$134$	6.93537			0.599125
$135$	−1.83445	−	0.667687i	−0.157885	−	0.0574653i
$136$	0.115931	+	0.657477i	0.00994099	+	0.0563782i
$137$	−2.25981	−	1.89620i	−0.193068	−	0.162004i	0.541129	−	0.840939i	$-0.317997\pi$
$137$	−2.25981	−	1.89620i	−0.193068	−	0.162004i	−0.734198	+	0.678936i	$0.762441\pi$
$138$	−5.51616	+	4.62861i	−0.469566	+	0.394013i
$139$	3.89430	−	22.0857i	0.330310	−	1.87328i	−0.139067	−	0.990283i	$-0.544410\pi$
$139$	3.89430	−	22.0857i	0.330310	−	1.87328i	0.469377	−	0.882998i	$-0.344479\pi$
$140$	0.996965	−	1.72679i	0.0842589	−	0.145941i
$141$	0.450212	+	0.779791i	0.0379147	+	0.0656702i
$142$	1.01537	−	0.369564i	0.0852078	−	0.0310131i
$143$	3.90391	−	1.42091i	0.326461	−	0.118822i
$144$	−1.26200	−	2.18585i	−0.105167	−	0.182154i
$145$	−8.33420	+	14.4353i	−0.692118	+	1.19878i
$146$	1.71758	−	9.74089i	0.142148	−	0.806161i
$147$	−10.2523	+	8.60270i	−0.845595	+	0.709539i
$148$	1.19445	+	1.00227i	0.0981835	+	0.0823857i
$149$	−1.44506	−	8.19532i	−0.118384	−	0.671387i	−0.985019	−	0.172445i	$-0.944833\pi$
$149$	−1.44506	−	8.19532i	−0.118384	−	0.671387i	0.866636	−	0.498942i	$-0.166278\pi$
$150$	−4.31794	−	1.57160i	−0.352558	−	0.128321i
$151$	−14.5552			−1.18448			−0.592242	−	0.805760i	$-0.701757\pi$
$151$	−14.5552			−1.18448			−0.592242	+	0.805760i	$0.701757\pi$
$152$	−2.46116	−	3.59760i	−0.199626	−	0.291804i
$153$	−1.68507			−0.136230
$154$	−1.07376	−	0.390817i	−0.0865261	−	0.0314929i
$155$	0.492743	+	2.79448i	0.0395781	+	0.224458i
$156$	7.47988	+	6.27637i	0.598870	+	0.502511i
$157$	−14.9322	+	12.5296i	−1.19172	+	0.999970i	−0.191890	+	0.981416i	$0.561462\pi$
$157$	−14.9322	+	12.5296i	−1.19172	+	0.999970i	−0.999828	+	0.0185535i	$0.994094\pi$
$158$	−1.58022	+	8.96189i	−0.125716	+	0.712969i
$159$	4.19608	−	7.26783i	0.332771	−	0.576377i
$160$	−0.872486	−	1.51119i	−0.0689760	−	0.119470i
$161$	−3.28975	+	1.19737i	−0.259269	+	0.0943661i
$162$	−9.58620	+	3.48909i	−0.753163	+	0.274129i
$163$	−5.83742	−	10.1107i	−0.457222	−	0.791932i	0.541591	−	0.840642i	$-0.317822\pi$
$163$	−5.83742	−	10.1107i	−0.457222	−	0.791932i	−0.998813	+	0.0487105i	$0.984489\pi$
$164$	3.36999	−	5.83700i	0.263152	−	0.455793i
$165$	0.712173	−	4.03893i	0.0554426	−	0.314430i
$166$	11.5664	−	9.70539i	0.897729	−	0.753284i
$167$	15.4215	+	12.9402i	1.19335	+	1.00134i	0.999795	+	0.0202499i	$0.00644620\pi$
$167$	15.4215	+	12.9402i	1.19335	+	1.00134i	0.193555	+	0.981089i	$0.437998\pi$
$168$	−0.466357	−	2.64484i	−0.0359802	−	0.204054i
$169$	−4.00260	−	1.45683i	−0.307893	−	0.112064i
$170$	−1.16498			−0.0893496
$171$	10.0211	−	4.54080i	0.766332	−	0.347244i
$172$	−7.38231			−0.562896
$173$	−6.98448	−	2.54214i	−0.531020	−	0.193276i	0.0625735	−	0.998040i	$-0.480069\pi$
$173$	−6.98448	−	2.54214i	−0.531020	−	0.193276i	−0.593594	+	0.804765i	$0.702291\pi$
$174$	3.89855	+	22.1098i	0.295548	+	1.67614i
$175$	−1.71135	−	1.43599i	−0.129366	−	0.108551i
$176$	−0.766044	+	0.642788i	−0.0577428	+	0.0484519i
$177$	−3.14162	+	17.8170i	−0.236138	+	1.33921i
$178$	2.96163	−	5.12970i	0.221984	−	0.384487i
$179$	4.57080	+	7.91686i	0.341638	+	0.591734i	0.984737	−	0.174049i	$-0.0556852\pi$
$179$	4.57080	+	7.91686i	0.341638	+	0.591734i	−0.643099	+	0.765783i	$0.722352\pi$
$180$	4.13870	−	1.50636i	0.308480	−	0.112278i
$181$	3.40565	−	1.23955i	0.253140	−	0.0921354i	−0.212334	−	0.977197i	$-0.568106\pi$
$181$	3.40565	−	1.23955i	0.253140	−	0.0921354i	0.465473	+	0.885062i	$0.345884\pi$
$182$	2.37359	+	4.11118i	0.175942	+	0.304741i
$183$	−9.99572	+	17.3131i	−0.738905	+	1.27982i
$184$	−0.532018	+	3.01722i	−0.0392209	+	0.222433i
$185$	−2.08429	+	1.74892i	−0.153240	+	0.128583i
$186$	2.92781	+	2.45672i	0.214677	+	0.180136i
$187$	0.115931	+	0.657477i	0.00847771	+	0.0480795i
$188$	0.360003	+	0.131030i	0.0262559	+	0.00955638i
$189$	−1.27836			−0.0929873
$190$	6.92809	−	3.13929i	0.502616	−	0.227748i
$191$	1.00492			0.0727138			0.0363569	−	0.999339i	$-0.488425\pi$
$191$	1.00492			0.0727138			0.0363569	+	0.999339i	$0.488425\pi$
$192$	−2.20858	−	0.803857i	−0.159390	−	0.0580134i
$193$	1.55254	+	8.80490i	0.111754	+	0.633790i	0.988306	+	0.152483i	$0.0487269\pi$
$193$	1.55254	+	8.80490i	0.111754	+	0.633790i	−0.876552	+	0.481308i	$0.840162\pi$
$194$	−10.0374	−	8.42241i	−0.720646	−	0.604694i
$195$	−13.0522	+	10.9521i	−0.934686	+	0.784295i
$196$	−0.988805	+	5.60779i	−0.0706289	+	0.400556i
$197$	3.65401	−	6.32893i	0.260337	−	0.450918i	−0.705994	−	0.708218i	$-0.749500\pi$
$197$	3.65401	−	6.32893i	0.260337	−	0.450918i	0.966332	+	0.257300i	$0.0828329\pi$
$198$	−1.26200	−	2.18585i	−0.0896865	−	0.155342i
$199$	−1.94354	+	0.707392i	−0.137774	+	0.0501457i	−0.409987	−	0.912091i	$-0.634467\pi$
$199$	−1.94354	+	0.707392i	−0.137774	+	0.0501457i	0.272213	+	0.962237i	$0.412245\pi$
$200$	−1.83717	+	0.668675i	−0.129908	+	0.0472825i
$201$	8.15017	+	14.1165i	0.574869	+	0.995702i
$202$	6.01725	−	10.4222i	0.423372	−	0.733302i
$203$	−1.89538	+	10.7493i	−0.133030	+	0.754450i
$204$	−1.20201	+	1.00861i	−0.0841579	+	0.0706168i
$205$	9.00951	+	7.55988i	0.629252	+	0.528005i
$206$	−0.0828287	−	0.469745i	−0.00577095	−	0.0327287i
$207$	−7.26660	−	2.64483i	−0.505063	−	0.183828i
$208$	4.15445			0.288060
$209$	−2.46116	−	3.59760i	−0.170242	−	0.248851i
$210$	4.68637			0.323390
$211$	1.02408	+	0.372735i	0.0705007	+	0.0256602i	0.377030	−	0.926201i	$-0.376945\pi$
$211$	1.02408	+	0.372735i	0.0705007	+	0.0256602i	−0.306529	+	0.951861i	$0.599168\pi$
$212$	−0.620037	−	3.51640i	−0.0425843	−	0.241508i
$213$	1.94544	+	1.63242i	0.133300	+	0.111852i
$214$	0.0229330	−	0.0192431i	0.00156767	−	0.00131543i
$215$	2.23692	−	12.6862i	0.152557	−	0.865192i
$216$	−0.559375	+	0.968865i	−0.0380606	+	0.0659229i
$217$	0.929081	+	1.60922i	0.0630701	+	0.109241i
$218$	5.78089	−	2.10407i	0.391531	−	0.142506i
$219$	21.8454	−	7.95107i	1.47617	−	0.537283i
$220$	−0.872486	−	1.51119i	−0.0588230	−	0.101884i
$221$	1.38680	−	2.40200i	0.0932860	−	0.161576i
$222$	−0.636374	+	3.60906i	−0.0427106	+	0.242224i
$223$	11.6591	−	9.78317i	0.780753	−	0.655129i	−0.162685	−	0.986678i	$-0.552016\pi$
$223$	11.6591	−	9.78317i	0.780753	−	0.655129i	0.943438	+	0.331549i	$0.107571\pi$
$224$	−0.875338	−	0.734496i	−0.0584860	−	0.0490755i
$225$	−0.856886	−	4.85964i	−0.0571258	−	0.323976i
$226$	−11.0073	−	4.00633i	−0.732194	−	0.266497i
$227$	3.65972			0.242904			0.121452	−	0.992597i	$-0.461245\pi$
$227$	3.65972			0.242904			0.121452	+	0.992597i	$0.461245\pi$
$228$	4.43043	−	9.23728i	0.293412	−	0.611754i
$229$	−9.45445			−0.624767			−0.312384	−	0.949956i	$-0.601127\pi$
$229$	−9.45445			−0.624767			−0.312384	+	0.949956i	$0.601127\pi$
$230$	−5.02377	−	1.82850i	−0.331258	−	0.120568i
$231$	−0.466357	−	2.64484i	−0.0306841	−	0.174018i
$232$	7.31745	+	6.14007i	0.480414	+	0.403115i
$233$	−9.02253	+	7.57080i	−0.591085	+	0.495979i	−0.888566	−	0.458748i	$-0.848298\pi$
$233$	−9.02253	+	7.57080i	−0.591085	+	0.495979i	0.297481	+	0.954728i	$0.403854\pi$
$234$	−1.82085	+	10.3265i	−0.119033	+	0.675067i
$235$	−0.334256	+	0.578948i	−0.0218044	+	0.0377664i
$236$	3.84880	+	6.66633i	0.250536	+	0.433941i
$237$	−20.0984	+	7.31520i	−1.30553	+	0.475174i
$238$	−0.716863	+	0.260917i	−0.0464673	+	0.0169127i
$239$	11.5019	+	19.9219i	0.743995	+	1.28864i	0.950663	+	0.310226i	$0.100405\pi$
$239$	11.5019	+	19.9219i	0.743995	+	1.28864i	−0.206667	+	0.978411i	$0.566262\pi$
$240$	2.05062	−	3.55178i	0.132367	−	0.229266i
$241$	0.680495	−	3.85928i	0.0438346	−	0.248598i	−0.955015	−	0.296559i	$-0.904161\pi$
$241$	0.680495	−	3.85928i	0.0438346	−	0.248598i	0.998849	+	0.0479604i	$0.0152721\pi$
$242$	−0.766044	+	0.642788i	−0.0492432	+	0.0413200i
$243$	−15.7961	−	13.2545i	−1.01332	−	0.850277i
$244$	1.47702	+	8.37662i	0.0945568	+	0.536258i
$245$	−9.33715	−	3.39845i	−0.596529	−	0.217119i
$246$	15.8411			1.00999
$247$	−1.77452	+	18.0217i	−0.112910	+	1.14669i
$248$	1.62615			0.103261
$249$	33.3471	+	12.1374i	2.11329	+	0.769173i
$250$	−2.10746	−	11.9520i	−0.133288	−	0.755913i
$251$	−21.4046	−	17.9606i	−1.35105	−	1.13366i	−0.978637	−	0.205594i	$-0.934087\pi$
$251$	−21.4046	−	17.9606i	−1.35105	−	1.13366i	−0.372409	−	0.928069i	$-0.621468\pi$
$252$	2.20935	−	1.85387i	0.139176	−	0.116783i
$253$	−0.532018	+	3.01722i	−0.0334477	+	0.189691i
$254$	−3.68101	+	6.37570i	−0.230967	+	0.400047i
$255$	−1.36903	−	2.37124i	−0.0857322	−	0.148493i
$256$	−0.939693	+	0.342020i	−0.0587308	+	0.0213763i
$257$	−18.3405	+	6.67541i	−1.14405	+	0.416401i	−0.843375	−	0.537326i	$-0.819435\pi$
$257$	−18.3405	+	6.67541i	−1.14405	+	0.416401i	−0.300676	+	0.953726i	$0.597212\pi$
$258$	−8.67539	−	15.0262i	−0.540106	−	0.935491i
$259$	−0.890855	+	1.54301i	−0.0553550	+	0.0958777i
$260$	−1.25885	+	7.13927i	−0.0780703	+	0.442759i
$261$	−18.4692	+	15.4975i	−1.14322	+	0.959273i
$262$	−3.37506	−	2.83201i	−0.208512	−	0.174962i
$263$	−0.956558	−	5.42491i	−0.0589839	−	0.334514i	0.941009	−	0.338383i	$-0.109880\pi$
$263$	−0.956558	−	5.42491i	−0.0589839	−	0.334514i	−0.999993	+	0.00386830i	$0.998769\pi$
$264$	−2.20858	−	0.803857i	−0.135929	−	0.0494740i
$265$	6.23068			0.382748
$266$	3.56007	−	3.48342i	0.218282	−	0.213582i
$267$	13.9216			0.851986
$268$	6.51712	+	2.37204i	0.398096	+	0.144895i
$269$	−0.481503	−	2.73074i	−0.0293578	−	0.166496i	0.966604	−	0.256275i	$-0.0824952\pi$
$269$	−0.481503	−	2.73074i	−0.0293578	−	0.166496i	−0.995962	+	0.0897785i	$0.971384\pi$
$270$	−1.49546	−	1.25484i	−0.0910109	−	0.0763672i
$271$	−19.0538	+	15.9881i	−1.15744	+	0.971205i	−0.999867	−	0.0163029i	$-0.994810\pi$
$271$	−19.0538	+	15.9881i	−1.15744	+	0.971205i	−0.157570	+	0.987508i	$0.550366\pi$
$272$	−0.115931	+	0.657477i	−0.00702934	+	0.0398654i
$273$	−5.57869	+	9.66258i	−0.337638	+	0.584806i
$274$	−1.47499	−	2.55475i	−0.0891071	−	0.154338i
$275$	−1.83717	+	0.668675i	−0.110785	+	0.0403226i
$276$	−6.76657	+	2.46283i	−0.407300	+	0.148245i
$277$	9.56960	+	16.5750i	0.574982	+	0.995897i	0.996044	+	0.0888655i	$0.0283241\pi$
$277$	9.56960	+	16.5750i	0.574982	+	0.995897i	−0.421062	+	0.907032i	$0.638343\pi$
$278$	11.2132	−	19.4218i	0.672522	−	1.16484i
$279$	−0.712724	+	4.04206i	−0.0426697	+	0.241992i
$280$	1.52744	−	1.28167i	0.0912820	−	0.0765947i
$281$	−3.49478	−	2.93247i	−0.208481	−	0.174936i	0.532568	−	0.846387i	$-0.321227\pi$
$281$	−3.49478	−	2.93247i	−0.208481	−	0.174936i	−0.741049	+	0.671451i	$0.765671\pi$
$282$	0.156357	+	0.886745i	0.00931093	+	0.0528049i
$283$	−18.4305	−	6.70817i	−1.09558	−	0.398759i	−0.269896	−	0.962890i	$-0.586989\pi$
$283$	−18.4305	−	6.70817i	−1.09558	−	0.398759i	−0.825686	+	0.564130i	$0.809212\pi$
$284$	1.08053			0.0641178
$285$	14.5314	+	10.4125i	0.860768	+	0.616784i
$286$	4.15445			0.245658
$287$	7.23713	+	2.63410i	0.427194	+	0.155486i
$288$	−0.438288	−	2.48566i	−0.0258264	−	0.146469i
$289$	−12.6813	−	10.6409i	−0.745960	−	0.625935i
$290$	−12.7687	+	10.7142i	−0.749806	+	0.629162i
$291$	5.34769	−	30.3282i	0.313487	−	1.77787i
$292$	4.94558	−	8.56599i	0.289418	−	0.501287i
$293$	2.45410	+	4.25063i	0.143370	+	0.248325i	0.928764	−	0.370672i	$-0.120873\pi$
$293$	2.45410	+	4.25063i	0.143370	+	0.248325i	−0.785393	+	0.618997i	$0.787539\pi$
$294$	−12.5763	+	4.57740i	−0.733465	+	0.266959i
$295$	−12.6221	+	4.59405i	−0.734884	+	0.267476i
$296$	0.779624	+	1.35035i	0.0453147	+	0.0784874i
$297$	−0.559375	+	0.968865i	−0.0324582	+	0.0562193i
$298$	1.44506	−	8.19532i	0.0837098	−	0.474742i
$299$	9.75043	−	8.18158i	0.563882	−	0.473153i
$300$	−3.52001	−	2.95364i	−0.203228	−	0.170529i
$301$	−1.46482	−	8.30740i	−0.0844308	−	0.478831i
$302$	−13.6774	−	4.97817i	−0.787046	−	0.286461i
$303$	28.2849			1.62493
$304$	−1.08228	−	4.22240i	−0.0620730	−	0.242171i
$305$	−14.8424			−0.849876
$306$	−1.58345	−	0.576329i	−0.0905198	−	0.0329465i
$307$	3.43343	+	19.4720i	0.195956	+	1.11132i	0.911050	+	0.412296i	$0.135273\pi$
$307$	3.43343	+	19.4720i	0.195956	+	1.11132i	−0.715094	+	0.699029i	$0.753616\pi$
$308$	−0.875338	−	0.734496i	−0.0498770	−	0.0418518i
$309$	0.858799	−	0.720618i	0.0488553	−	0.0409945i
$310$	−0.492743	+	2.79448i	−0.0279859	+	0.158716i
$311$	17.0281	−	29.4935i	0.965573	−	1.67242i	0.257505	−	0.966277i	$-0.417099\pi$
$311$	17.0281	−	29.4935i	0.965573	−	1.67242i	0.708068	−	0.706145i	$-0.249567\pi$
$312$	4.88215	+	8.45612i	0.276397	+	0.478734i
$313$	−24.5608	+	8.93940i	−1.38826	+	0.505285i	−0.924671	−	0.380766i	$-0.875660\pi$
$313$	−24.5608	+	8.93940i	−1.38826	+	0.505285i	−0.463587	+	0.886051i	$0.653438\pi$
$314$	−18.3170	+	6.66685i	−1.03369	+	0.376232i
$315$	2.51634	+	4.35843i	0.141780	+	0.245570i
$316$	−4.55007	+	7.88095i	−0.255961	+	0.443338i
$317$	2.21882	−	12.5836i	0.124621	−	0.706763i	−0.856911	−	0.515465i	$-0.827619\pi$
$317$	2.21882	−	12.5836i	0.124621	−	0.706763i	0.981532	−	0.191298i	$-0.0612697\pi$
$318$	6.42877	−	5.39438i	0.360508	−	0.302502i
$319$	7.31745	+	6.14007i	0.409698	+	0.343778i
$320$	−0.303011	−	1.71846i	−0.0169388	−	0.0960649i
$321$	0.0661179	+	0.0240650i	0.00369034	+	0.00134317i
$322$	−3.50088			−0.195097
$323$	−2.80256	−	0.783731i	−0.155939	−	0.0436080i
$324$	−10.2014			−0.566746
$325$	7.63244	+	2.77798i	0.423371	+	0.154095i
$326$	−2.02731	−	11.4975i	−0.112283	−	0.636786i
$327$	11.0762	+	9.29401i	0.612513	+	0.513960i
$328$	5.16313	−	4.33238i	0.285086	−	0.239216i
$329$	−0.0760173	+	0.431115i	−0.00419097	+	0.0237682i
$330$	2.05062	−	3.55178i	0.112883	−	0.195519i
$331$	2.13525	+	3.69836i	0.117364	+	0.203280i	0.918722	−	0.394905i	$-0.129222\pi$
$331$	2.13525	+	3.69836i	0.117364	+	0.203280i	−0.801358	+	0.598184i	$0.795889\pi$
$332$	14.1883	−	5.16413i	0.778686	−	0.283418i
$333$	−3.69820	+	1.34604i	−0.202660	+	0.0737623i
$334$	10.0657	+	17.4342i	0.550768	+	0.953958i
$335$	−6.05101	+	10.4807i	−0.330602	+	0.572620i
$336$	0.466357	−	2.64484i	0.0254419	−	0.144288i
$337$	−20.7288	+	17.3935i	−1.12917	+	0.947486i	−0.999031	−	0.0440097i	$-0.985987\pi$
$337$	−20.7288	+	17.3935i	−1.12917	+	0.947486i	−0.130139	+	0.991496i	$0.541542\pi$
$338$	−3.26295	−	2.73794i	−0.177481	−	0.148924i
$339$	−4.78070	−	27.1127i	−0.259652	−	1.47256i
$340$	−1.09472	−	0.398445i	−0.0593695	−	0.0216087i
$341$	1.62615			0.0880612
$342$	10.9698	−	0.839546i	0.593178	−	0.0453974i
$343$	−14.5054			−0.783219
$344$	−6.93710	−	2.52490i	−0.374023	−	0.136133i
$345$	−2.18193	−	12.3743i	−0.117471	−	0.666213i
$346$	−5.69380	−	4.77767i	−0.306101	−	0.256849i
$347$	11.5971	−	9.73109i	0.622563	−	0.522392i	−0.276045	−	0.961145i	$-0.589024\pi$
$347$	11.5971	−	9.73109i	0.622563	−	0.522392i	0.898608	+	0.438752i	$0.144579\pi$
$348$	−3.89855	+	22.1098i	−0.208984	+	1.18521i
$349$	9.61401	−	16.6520i	0.514626	−	0.891359i	−0.485230	−	0.874387i	$-0.661264\pi$
$349$	9.61401	−	16.6520i	0.514626	−	0.891359i	0.999856	−	0.0169721i	$-0.00540265\pi$
$350$	−1.11700	−	1.93471i	−0.0597064	−	0.103415i
$351$	4.36750	−	1.58964i	0.233120	−	0.0848486i
$352$	−0.939693	+	0.342020i	−0.0500858	+	0.0182297i
$353$	−2.23416	−	3.86968i	−0.118912	−	0.205962i	0.800425	−	0.599433i	$-0.204607\pi$
$353$	−2.23416	−	3.86968i	−0.118912	−	0.205962i	−0.919337	+	0.393471i	$0.871274\pi$
$354$	−9.04592	+	15.6680i	−0.480785	+	0.832744i
$355$	−0.327413	+	1.85685i	−0.0173773	+	0.0985516i
$356$	4.53748	−	3.80740i	0.240486	−	0.201792i
$357$	−1.37351	−	1.15251i	−0.0726938	−	0.0609973i
$358$	1.58742	+	9.00272i	0.0838978	+	0.475808i
$359$	27.4731	+	9.99940i	1.44998	+	0.527748i	0.942585	−	0.333967i	$-0.108387\pi$
$359$	27.4731	+	9.99940i	1.44998	+	0.527748i	0.507392	+	0.861715i	$0.330610\pi$
$360$	4.40431			0.232127
$361$	18.7787	−	2.89130i	0.988354	−	0.152174i
$362$	3.62422			0.190485
$363$	−2.20858	−	0.803857i	−0.115920	−	0.0421915i
$364$	0.824339	+	4.67506i	0.0432071	+	0.245040i
$365$	13.2218	+	11.0944i	0.692058	+	0.580706i
$366$	−15.3143	+	12.8503i	−0.800493	+	0.671693i
$367$	−0.0902619	+	0.511901i	−0.00471164	+	0.0267210i	−0.987073	−	0.160272i	$-0.948763\pi$
$367$	−0.0902619	+	0.511901i	−0.00471164	+	0.0267210i	0.982361	+	0.186993i	$0.0598741\pi$
$368$	−1.53188	+	2.65330i	−0.0798550	+	0.138313i
$369$	8.50587	+	14.7326i	0.442798	+	0.766948i
$370$	−2.55676	+	0.930583i	−0.132919	+	0.0483787i
$371$	3.83402	−	1.39547i	0.199053	−	0.0724492i
$372$	1.91099	+	3.30993i	0.0990803	+	0.171612i
$373$	14.5691	−	25.2345i	0.754362	−	1.30659i	−0.191329	−	0.981526i	$-0.561280\pi$
$373$	14.5691	−	25.2345i	0.754362	−	1.30659i	0.945691	−	0.325067i	$-0.105387\pi$
$374$	−0.115931	+	0.657477i	−0.00599464	+	0.0339973i
$375$	21.8510	−	18.3352i	1.12838	−	0.946823i
$376$	0.293477	+	0.246257i	0.0151349	+	0.0126997i
$377$	−6.89112	−	39.0815i	−0.354911	−	2.01280i
$378$	−1.20127	−	0.437226i	−0.0617866	−	0.0224885i
$379$	0.482342			0.0247763			0.0123881	−	0.999923i	$-0.496057\pi$
$379$	0.482342			0.0247763			0.0123881	+	0.999923i	$0.496057\pi$
$380$	7.58398	−	0.580421i	0.389050	−	0.0297750i
$381$	−17.3031			−0.886466
$382$	0.944320	+	0.343704i	0.0483156	+	0.0175854i
$383$	0.896695	+	5.08541i	0.0458190	+	0.259852i	0.999109	−	0.0422041i	$-0.0134380\pi$
$383$	0.896695	+	5.08541i	0.0458190	+	0.259852i	−0.953290	+	0.302056i	$0.902327\pi$
$384$	−1.80045	−	1.51076i	−0.0918788	−	0.0770955i
$385$	1.52744	−	1.28167i	0.0778455	−	0.0653201i
$386$	−1.55254	+	8.80490i	−0.0790222	+	0.448157i
$387$	9.31647	−	16.1366i	0.473583	−	0.820270i
$388$	−6.55147	−	11.3475i	−0.332601	−	0.576081i
$389$	27.1841	−	9.89420i	1.37829	−	0.501656i	0.456630	−	0.889657i	$-0.349056\pi$
$389$	27.1841	−	9.89420i	1.37829	−	0.501656i	0.921659	+	0.388001i	$0.126834\pi$
$390$	−16.0109	+	5.82748i	−0.810742	+	0.295086i
$391$	1.02272	+	1.77139i	0.0517209	+	0.0895833i
$392$	−2.84715	+	4.93141i	−0.143803	+	0.249074i
$393$	1.79815	−	10.1978i	0.0907045	−	0.514411i
$394$	5.59827	−	4.69750i	0.282037	−	0.236657i
$395$	−12.1644	−	10.2071i	−0.612057	−	0.513577i
$396$	−0.438288	−	2.48566i	−0.0220248	−	0.124909i
$397$	35.6759	+	12.9849i	1.79052	+	0.651696i	0.999187	+	0.0403099i	$0.0128345\pi$
$397$	35.6759	+	12.9849i	1.79052	+	0.651696i	0.791333	+	0.611386i	$0.209388\pi$
$398$	−2.06828			−0.103673
$399$	11.2739	+	3.15273i	0.564402	+	0.157834i
$400$	−1.95508			−0.0977538
$401$	35.3125	+	12.8527i	1.76342	+	0.641832i	0.999992	−	0.00406057i	$-0.00129252\pi$
$401$	35.3125	+	12.8527i	1.76342	+	0.641832i	0.763428	+	0.645893i	$0.223515\pi$
$402$	2.83052	+	16.0527i	0.141174	+	0.800636i
$403$	−5.17523	−	4.34253i	−0.257797	−	0.216317i
$404$	9.21896	−	7.73563i	0.458660	−	0.384862i
$405$	3.09114	−	17.5307i	0.153600	−	0.871110i
$406$	−5.45754	+	9.45274i	−0.270853	+	0.469132i
$407$	0.779624	+	1.35035i	0.0386445	+	0.0669343i
$408$	−1.47449	+	0.536670i	−0.0729981	+	0.0265691i
$409$	−30.6900	+	11.1702i	−1.51752	+	0.552333i	−0.960528	−	0.278183i	$-0.910268\pi$
$409$	−30.6900	+	11.1702i	−1.51752	+	0.552333i	−0.556994	+	0.830516i	$0.688045\pi$
$410$	5.88054	+	10.1854i	0.290419	+	0.503021i
$411$	3.46669	−	6.00448i	0.170999	−	0.296179i
$412$	0.0828287	−	0.469745i	0.00408068	−	0.0231427i
$413$	−6.73801	+	5.65386i	−0.331556	+	0.278208i
$414$	−5.92378	−	4.97065i	−0.291138	−	0.244294i
$415$	4.57513	+	25.9469i	0.224585	+	1.27368i
$416$	3.90391	+	1.42091i	0.191405	+	0.0696657i
$417$	52.7091			2.58118
$418$	−1.08228	−	4.22240i	−0.0529360	−	0.206524i
$419$	−38.3571			−1.87387			−0.936934	−	0.349507i	$-0.886349\pi$
$419$	−38.3571			−1.87387			−0.936934	+	0.349507i	$0.886349\pi$
$420$	4.40375	+	1.60283i	0.214881	+	0.0782103i
$421$	−7.06186	−	40.0498i	−0.344174	−	1.95191i	−0.303846	−	0.952721i	$-0.598271\pi$
$421$	−7.06186	−	40.0498i	−0.344174	−	1.95191i	−0.0403277	−	0.999187i	$-0.512840\pi$
$422$	0.834839	+	0.700513i	0.0406393	+	0.0341005i
$423$	−0.740737	+	0.621552i	−0.0360159	+	0.0302209i
$424$	0.620037	−	3.51640i	0.0301117	−	0.170772i
$425$	−0.652623	+	1.13038i	−0.0316569	+	0.0548313i
$426$	1.26980	+	2.19936i	0.0615219	+	0.106559i
$427$	−9.13324	+	3.32423i	−0.441988	+	0.160871i
$428$	0.0281315	−	0.0102390i	0.00135979	−	0.000494922i
$429$	4.88215	+	8.45612i	0.235712	+	0.408266i
$430$	6.44096	−	11.1561i	0.310610	−	0.537993i
$431$	3.83290	−	21.7375i	0.184624	−	1.04706i	−0.741813	−	0.670607i	$-0.766034\pi$
$431$	3.83290	−	21.7375i	0.184624	−	1.04706i	0.926437	−	0.376449i	$-0.122855\pi$
$432$	−0.857012	+	0.719118i	−0.0412330	+	0.0345986i
$433$	17.0446	+	14.3021i	0.819109	+	0.687314i	0.952763	−	0.303714i	$-0.0982268\pi$
$433$	17.0446	+	14.3021i	0.819109	+	0.687314i	−0.133654	+	0.991028i	$0.542671\pi$
$434$	0.322666	+	1.82993i	0.0154885	+	0.0878396i
$435$	−36.8135	−	13.3990i	−1.76507	−	0.642433i
$436$	6.15189			0.294622
$437$	−10.8555	−	7.77851i	−0.519288	−	0.372097i
$438$	23.2474			1.11080
$439$	2.38617	+	0.868494i	0.113886	+	0.0414509i	0.398334	−	0.917240i	$-0.369588\pi$
$439$	2.38617	+	0.868494i	0.113886	+	0.0414509i	−0.284449	+	0.958691i	$0.591811\pi$
$440$	−0.303011	−	1.71846i	−0.0144455	−	0.0819244i
$441$	−11.0099	−	9.23841i	−0.524282	−	0.439924i
$442$	2.12470	−	1.78283i	0.101061	−	0.0848006i
$443$	−0.895736	+	5.07997i	−0.0425577	+	0.241357i	−0.998665	−	0.0516612i	$-0.983548\pi$
$443$	−0.895736	+	5.07997i	−0.0425577	+	0.241357i	0.956107	+	0.293018i	$0.0946595\pi$
$444$	−1.83237	+	3.17375i	−0.0869602	+	0.150620i
$445$	5.16796	+	8.95117i	0.244985	+	0.424326i
$446$	14.3020	−	5.20552i	0.677221	−	0.246488i
$447$	18.3792	−	6.68949i	0.869307	−	0.316402i
$448$	−0.571336	−	0.989583i	−0.0269931	−	0.0467534i
$449$	1.98571	−	3.43935i	0.0937115	−	0.162313i	−0.815359	−	0.578956i	$-0.803460\pi$
$449$	1.98571	−	3.43935i	0.0937115	−	0.162313i	0.909070	+	0.416643i	$0.136794\pi$
$450$	0.856886	−	4.85964i	0.0403940	−	0.229086i
$451$	5.16313	−	4.33238i	0.243122	−	0.204004i
$452$	−8.97323	−	7.52943i	−0.422065	−	0.354155i
$453$	−5.94039	−	33.6896i	−0.279104	−	1.58288i
$454$	3.43901	+	1.25170i	0.161401	+	0.0587451i
$455$	−8.28369			−0.388345
$456$	7.32258	−	7.16491i	0.342911	−	0.335527i
$457$	28.3187			1.32469			0.662346	−	0.749198i	$-0.269561\pi$
$457$	28.3187			1.32469			0.662346	+	0.749198i	$0.269561\pi$
$458$	−8.88427	−	3.23361i	−0.415135	−	0.151097i
$459$	0.129698	+	0.735552i	0.00605377	+	0.0343326i
$460$	−4.09542	−	3.43646i	−0.190950	−	0.160226i
$461$	24.6721	−	20.7024i	1.14910	−	0.964205i	0.149397	−	0.988777i	$-0.452267\pi$
$461$	24.6721	−	20.7024i	1.14910	−	0.964205i	0.999698	+	0.0245720i	$0.00782231\pi$
$462$	0.466357	−	2.64484i	0.0216969	−	0.123049i
$463$	−12.7922	+	22.1567i	−0.594503	+	1.02971i	0.399114	+	0.916901i	$0.369318\pi$
$463$	−12.7922	+	22.1567i	−0.594503	+	1.02971i	−0.993617	+	0.112808i	$0.964016\pi$
$464$	4.77612	+	8.27249i	0.221726	+	0.384041i
$465$	−6.26705	+	2.28102i	−0.290627	+	0.105780i
$466$	−11.0678	+	4.02834i	−0.512704	+	0.186609i
$467$	12.1589	+	21.0599i	0.562648	+	0.974534i	0.997264	+	0.0739189i	$0.0235506\pi$
$467$	12.1589	+	21.0599i	0.562648	+	0.974534i	−0.434617	+	0.900616i	$0.643116\pi$
$468$	−5.24292	+	9.08101i	−0.242354	+	0.419770i
$469$	−1.37614	+	7.80446i	−0.0635441	+	0.360376i
$470$	−0.512109	+	0.429711i	−0.0236218	+	0.0198211i
$471$	−35.0954	−	29.4485i	−1.61711	−	1.35692i
$472$	1.33668	+	7.58067i	0.0615255	+	0.348928i
$473$	−6.93710	−	2.52490i	−0.318968	−	0.116095i
$474$	−21.3882			−0.982394
$475$	0.835083	−	8.48096i	0.0383163	−	0.389133i
$476$	−0.762870			−0.0349661
$477$	8.46882	+	3.08240i	0.387760	+	0.141133i
$478$	3.99456	+	22.6543i	0.182707	+	1.03618i
$479$	−7.95024	−	6.67104i	−0.363256	−	0.304808i	0.442831	−	0.896605i	$-0.353974\pi$
$479$	−7.95024	−	6.67104i	−0.363256	−	0.304808i	−0.806087	+	0.591797i	$0.798419\pi$
$480$	3.14173	−	2.63623i	0.143400	−	0.120327i
$481$	1.12486	−	6.37941i	0.0512893	−	0.290876i
$482$	1.95941	−	3.39380i	0.0892486	−	0.154583i
$483$	−4.11409	−	7.12582i	−0.187198	−	0.324236i
$484$	−0.939693	+	0.342020i	−0.0427133	+	0.0155464i
$485$	21.4854	−	7.82004i	0.975601	−	0.355090i
$486$	−10.3102	−	17.8577i	−0.467679	−	0.810044i
$487$	−9.00671	+	15.6001i	−0.408133	+	0.706907i	−0.994681	−	0.103007i	$-0.967153\pi$
$487$	−9.00671	+	15.6001i	−0.408133	+	0.706907i	0.586547	+	0.809915i	$0.300487\pi$
$488$	−1.47702	+	8.37662i	−0.0668617	+	0.379192i
$489$	21.0200	−	17.6378i	0.950555	−	0.797610i
$490$	−7.61172	−	6.38699i	−0.343862	−	0.288535i
$491$	1.42279	+	8.06902i	0.0642095	+	0.364150i	0.999935	+	0.0114204i	$0.00363531\pi$
$491$	1.42279	+	8.06902i	0.0642095	+	0.364150i	−0.935725	+	0.352730i	$0.885254\pi$
$492$	14.8858	+	5.41798i	0.671103	+	0.244262i
$493$	6.37726			0.287218
$494$	−7.83128	+	16.3279i	−0.352346	+	0.734628i
$495$	4.40431			0.197959
$496$	1.52809	+	0.556178i	0.0686131	+	0.0249731i
$497$	0.214402	+	1.21594i	0.00961727	+	0.0545422i
$498$	27.1848	+	22.8108i	1.21818	+	1.02217i
$499$	6.84622	−	5.74466i	0.306479	−	0.257166i	−0.476556	−	0.879144i	$-0.658115\pi$
$499$	6.84622	−	5.74466i	0.306479	−	0.257166i	0.783035	+	0.621978i	$0.213671\pi$
$500$	2.10746	−	11.9520i	0.0942487	−	0.534511i
$501$	−23.6575	+	40.9760i	−1.05694	+	1.83067i
$502$	−13.9709	−	24.1982i	−0.623550	−	1.08002i
$503$	22.7294	−	8.27282i	1.01345	−	0.368867i	0.218695	−	0.975793i	$-0.429820\pi$
$503$	22.7294	−	8.27282i	1.01345	−	0.368867i	0.794758	+	0.606927i	$0.207598\pi$
$504$	2.71017	−	0.986422i	0.120721	−	0.0439387i
$505$	10.4999	+	18.1864i	0.467241	+	0.809284i
$506$	−1.53188	+	2.65330i	−0.0681005	+	0.117954i
$507$	1.73842	−	9.85905i	0.0772058	−	0.437856i
$508$	−5.63964	+	4.73222i	−0.250219	+	0.209958i
$509$	19.0808	+	16.0107i	0.845740	+	0.709660i	0.958847	−	0.283923i	$-0.0916360\pi$
$509$	19.0808	+	16.0107i	0.845740	+	0.709660i	−0.113107	+	0.993583i	$0.536080\pi$
$510$	−0.475460	−	2.69647i	−0.0210537	−	0.119402i
$511$	10.6207	+	3.86563i	0.469834	+	0.171005i
$512$	−1.00000			−0.0441942
$513$	−2.75342	−	4.02481i	−0.121566	−	0.177700i
$514$	−19.5176			−0.860884
$515$	0.782140	+	0.284676i	0.0344652	+	0.0125443i
$516$	−3.01293	−	17.0872i	−0.132637	−	0.752221i
$517$	0.293477	+	0.246257i	0.0129071	+	0.0108304i
$518$	−1.36487	+	1.14526i	−0.0599689	+	0.0503199i
$519$	3.03351	−	17.2039i	0.133156	−	0.755167i
$520$	−3.62470	+	6.27817i	−0.158954	+	0.275316i
$521$	−9.34821	−	16.1916i	−0.409552	−	0.709366i	0.585287	−	0.810826i	$-0.300982\pi$
$521$	−9.34821	−	16.1916i	−0.409552	−	0.709366i	−0.994840	+	0.101460i	$0.967648\pi$
$522$	−22.6559	+	8.24607i	−0.991621	+	0.360920i
$523$	−12.3726	+	4.50325i	−0.541015	+	0.196913i	−0.598050	−	0.801459i	$-0.704058\pi$
$523$	−12.3726	+	4.50325i	−0.541015	+	0.196913i	0.0570352	+	0.998372i	$0.481835\pi$
$524$	−2.20292	−	3.81556i	−0.0962349	−	0.166684i
$525$	2.62532	−	4.54718i	0.114578	−	0.198455i
$526$	0.956558	−	5.42491i	0.0417079	−	0.236537i
$527$	0.831658	−	0.697844i	0.0362276	−	0.0303986i
$528$	−1.80045	−	1.51076i	−0.0783545	−	0.0657472i
$529$	−2.36393	−	13.4065i	−0.102780	−	0.582892i
$530$	5.85493	+	2.13102i	0.254322	+	0.0925655i
$531$	−19.4288			−0.843137
$532$	4.53677	−	2.05572i	0.196694	−	0.0891269i
$533$	−28.0010			−1.21286
$534$	13.0820	+	4.76145i	0.566113	+	0.206048i
$535$	0.00907121	+	0.0514454i	0.000392182	+	0.00222418i
$536$	5.31280	+	4.45797i	0.229478	+	0.192555i
$537$	−16.4590	+	13.8107i	−0.710257	+	0.595977i
$538$	0.481503	−	2.73074i	0.0207591	−	0.117731i
$539$	−2.84715	+	4.93141i	−0.122635	+	0.212411i
$540$	−0.976093	−	1.69064i	−0.0420043	−	0.0727537i
$541$	−37.4938	+	13.6466i	−1.61198	+	0.586714i	−0.981831	−	0.189757i	$-0.939230\pi$
$541$	−37.4938	+	13.6466i	−1.61198	+	0.586714i	−0.630153	+	0.776471i	$0.717008\pi$
$542$	−23.3730	+	8.50706i	−1.00395	+	0.365410i
$543$	4.25903	+	7.37686i	0.182773	+	0.316571i
$544$	−0.333810	+	0.578175i	−0.0143120	+	0.0247891i
$545$	−1.86409	+	10.5718i	−0.0798489	+	0.452846i
$546$	−8.54705	+	7.17183i	−0.365780	+	0.306926i
$547$	−1.34408	−	1.12782i	−0.0574688	−	0.0482221i	0.613601	−	0.789616i	$-0.289720\pi$
$547$	−1.34408	−	1.12782i	−0.0574688	−	0.0482221i	−0.671070	+	0.741394i	$0.734165\pi$
$548$	−0.512257	−	2.90515i	−0.0218825	−	0.124102i
$549$	−20.1740	−	7.34275i	−0.861007	−	0.313381i
$550$	−1.95508			−0.0833647
$551$	−37.9255	+	17.1850i	−1.61568	+	0.732104i
$552$	−7.20083			−0.306488
$553$	−9.77137	−	3.55649i	−0.415521	−	0.151237i
$554$	3.32349	+	18.8484i	0.141201	+	0.800793i
$555$	−4.89874	−	4.11053i	−0.207940	−	0.174482i
$556$	17.1796	−	14.4154i	0.728577	−	0.611349i
$557$	0.379403	−	2.15170i	0.0160758	−	0.0911704i	−0.975714	−	0.219047i	$-0.929705\pi$
$557$	0.379403	−	2.15170i	0.0160758	−	0.0911704i	0.991790	+	0.127877i	$0.0408162\pi$
$558$	−2.05221	+	3.55453i	−0.0868769	+	0.150475i
$559$	15.3347	+	26.5605i	0.648590	+	1.12339i
$560$	1.87368	−	0.681964i	0.0791775	−	0.0288183i
$561$	−1.47449	+	0.536670i	−0.0622530	+	0.0226582i
$562$	−2.28106	−	3.95091i	−0.0962206	−	0.166659i
$563$	−18.3165	+	31.7251i	−0.771949	+	1.33706i	0.164544	+	0.986370i	$0.447385\pi$
$563$	−18.3165	+	31.7251i	−0.771949	+	1.33706i	−0.936493	+	0.350685i	$0.885949\pi$
$564$	−0.156357	+	0.886745i	−0.00658382	+	0.0373387i
$565$	15.6580	−	13.1386i	0.658738	−	0.552747i
$566$	−15.0247	−	12.6072i	−0.631536	−	0.529921i
$567$	−2.02420	−	11.4798i	−0.0850082	−	0.482106i
$568$	1.01537	+	0.369564i	0.0426039	+	0.0155066i
$569$	32.9683			1.38210			0.691051	−	0.722806i	$-0.257148\pi$
$569$	32.9683			1.38210			0.691051	+	0.722806i	$0.257148\pi$
$570$	10.0938	+	14.7546i	0.422782	+	0.618003i
$571$	−20.7082			−0.866611			−0.433306	−	0.901247i	$-0.642653\pi$
$571$	−20.7082			−0.866611			−0.433306	+	0.901247i	$0.642653\pi$
$572$	3.90391	+	1.42091i	0.163231	+	0.0594111i
$573$	0.410138	+	2.32601i	0.0171338	+	0.0971705i
$574$	5.89976	+	4.95049i	0.246251	+	0.206629i
$575$	−4.58853	+	3.85023i	−0.191355	+	0.160566i
$576$	0.438288	−	2.48566i	0.0182620	−	0.103569i
$577$	−10.0736	+	17.4479i	−0.419368	+	0.726366i	−0.995876	−	0.0907251i	$-0.971082\pi$
$577$	−10.0736	+	17.4479i	−0.419368	+	0.726366i	0.576508	+	0.817091i	$0.304415\pi$
$578$	−8.27714	−	14.3364i	−0.344284	−	0.596317i
$579$	−19.7463	+	7.18706i	−0.820628	+	0.298684i
$580$	−15.6632	+	5.70093i	−0.650378	+	0.236718i
$581$	8.62655	+	14.9416i	0.357890	+	0.619883i
$582$	15.3981	−	26.6702i	0.638270	−	1.10552i
$583$	0.620037	−	3.51640i	0.0256793	−	0.145635i
$584$	7.57706	−	6.35791i	0.313541	−	0.263092i
$585$	−14.0167	−	11.7614i	−0.579519	−	0.486274i
$586$	0.852301	+	4.83364i	0.0352082	+	0.199676i
$587$	39.8109	+	14.4900i	1.64317	+	0.598066i	0.987589	−	0.157057i	$-0.0502008\pi$
$587$	39.8109	+	14.4900i	1.64317	+	0.598066i	0.655583	+	0.755123i	$0.272423\pi$
$588$	−13.3834			−0.551923
$589$	−3.06536	+	6.39115i	−0.126306	+	0.263343i
$590$	−13.4321			−0.552991
$591$	16.1403	+	5.87460i	0.663924	+	0.241649i
$592$	0.270761	+	1.53556i	0.0111282	+	0.0631111i
$593$	1.51589	+	1.27198i	0.0622502	+	0.0522341i	0.673382	−	0.739295i	$-0.264841\pi$
$593$	1.51589	+	1.27198i	0.0622502	+	0.0522341i	−0.611132	+	0.791529i	$0.709285\pi$
$594$	−0.857012	+	0.719118i	−0.0351636	+	0.0295058i
$595$	0.231158	−	1.31096i	0.00947656	−	0.0537442i
$596$	4.16087	−	7.20684i	0.170436	−	0.295204i
$597$	−2.43055	−	4.20984i	−0.0994760	−	0.172297i
$598$	11.9607	−	4.35333i	0.489108	−	0.178021i
$599$	−23.8565	+	8.68304i	−0.974748	+	0.354779i	−0.779796	−	0.626033i	$-0.784677\pi$
$599$	−23.8565	+	8.68304i	−0.974748	+	0.354779i	−0.194952	+	0.980813i	$0.562455\pi$
$600$	−2.29753	−	3.97943i	−0.0937961	−	0.162460i
$601$	22.5460	−	39.0508i	0.919669	−	1.59291i	0.119751	−	0.992804i	$-0.461790\pi$
$601$	22.5460	−	39.0508i	0.919669	−	1.59291i	0.799918	−	0.600110i	$-0.204876\pi$
$602$	1.46482	−	8.30740i	0.0597016	−	0.338584i
$603$	−13.4095	+	11.2519i	−0.546078	+	0.458214i
$604$	−11.1499	−	9.35590i	−0.453684	−	0.380686i
$605$	−0.303011	−	1.71846i	−0.0123192	−	0.0698654i
$606$	26.5791	+	9.67401i	1.07970	+	0.392980i
$607$	12.1008			0.491155			0.245577	−	0.969377i	$-0.421022\pi$
$607$	12.1008			0.491155			0.245577	+	0.969377i	$0.421022\pi$
$608$	0.427136	−	4.33792i	0.0173227	−	0.175926i
$609$	−25.6539			−1.03955
$610$	−13.9473	−	5.07642i	−0.564711	−	0.205538i
$611$	−0.276379	−	1.56742i	−0.0111811	−	0.0634111i
$612$	−1.29084	−	1.08314i	−0.0521791	−	0.0437835i
$613$	18.4615	−	15.4911i	0.745654	−	0.625678i	−0.188696	−	0.982036i	$-0.560426\pi$
$613$	18.4615	−	15.4911i	0.745654	−	0.625678i	0.934350	+	0.356358i	$0.115982\pi$
$614$	−3.43343	+	19.4720i	−0.138562	+	0.785825i
$615$	−13.8212	+	23.9389i	−0.557323	+	0.965311i
$616$	−0.571336	−	0.989583i	−0.0230198	−	0.0398714i
$617$	−36.9850	+	13.4615i	−1.48896	+	0.541938i	−0.953176	−	0.302416i	$-0.902207\pi$
$617$	−36.9850	+	13.4615i	−1.48896	+	0.541938i	−0.535786	+	0.844354i	$0.679985\pi$
$618$	1.05347	−	0.383433i	0.0423769	−	0.0154239i
$619$	17.1149	+	29.6438i	0.687905	+	1.19149i	0.972514	+	0.232843i	$0.0748029\pi$
$619$	17.1149	+	29.6438i	0.687905	+	1.19149i	−0.284609	+	0.958644i	$0.591864\pi$
$620$	−1.41880	+	2.45743i	−0.0569802	+	0.0986927i
$621$	−0.595194	+	3.37552i	−0.0238843	+	0.135455i
$622$	26.0885	−	21.8909i	1.04605	−	0.877743i
$623$	5.18486	+	4.35061i	0.207727	+	0.174304i
$624$	1.69555	+	9.61595i	0.0678764	+	0.384946i
$625$	10.7147	+	3.89982i	0.428587	+	0.155993i
$626$	−26.1371			−1.04465
$627$	7.32258	−	7.16491i	0.292436	−	0.286139i
$628$	−19.4926			−0.777839
$629$	0.978205	+	0.356038i	0.0390036	+	0.0141961i
$630$	0.873916	+	4.95622i	0.0348177	+	0.197461i
$631$	−30.0216	−	25.1912i	−1.19514	−	1.00284i	−0.999755	−	0.0221179i	$-0.992959\pi$
$631$	−30.0216	−	25.1912i	−1.19514	−	1.00284i	−0.195388	−	0.980726i	$-0.562596\pi$
$632$	−6.97111	+	5.84946i	−0.277296	+	0.232679i
$633$	−0.444781	+	2.52248i	−0.0176785	+	0.100259i
$634$	6.38884	−	11.0658i	0.253733	−	0.439479i
$635$	−6.42326	−	11.1254i	−0.254899	−	0.441499i
$636$	7.88606	−	2.87029i	0.312703	−	0.113814i
$637$	22.2300	−	8.09107i	0.880786	−	0.320580i
$638$	4.77612	+	8.27249i	0.189089	+	0.327511i
$639$	−1.36363	+	2.36188i	−0.0539445	+	0.0934346i
$640$	0.303011	−	1.71846i	0.0119776	−	0.0679281i
$641$	9.81562	−	8.23628i	0.387694	−	0.325313i	−0.428020	−	0.903769i	$-0.640789\pi$
$641$	9.81562	−	8.23628i	0.387694	−	0.325313i	0.815714	+	0.578456i	$0.196344\pi$
$642$	0.0538998	+	0.0452273i	0.00212726	+	0.00178498i
$643$	4.47842	+	25.3984i	0.176611	+	1.00161i	0.936267	+	0.351288i	$0.114256\pi$
$643$	4.47842	+	25.3984i	0.176611	+	1.00161i	−0.759656	+	0.650325i	$0.774633\pi$
$644$	−3.28975	−	1.19737i	−0.129634	−	0.0471831i
$645$	30.2766			1.19214
$646$	−2.36550	−	1.69500i	−0.0930692	−	0.0666889i
$647$	−28.8360			−1.13366			−0.566830	−	0.823835i	$-0.691830\pi$
$647$	−28.8360			−1.13366			−0.566830	+	0.823835i	$0.691830\pi$
$648$	−9.58620	−	3.48909i	−0.376582	−	0.137064i
$649$	1.33668	+	7.58067i	0.0524691	+	0.297567i
$650$	6.22202	+	5.22089i	0.244048	+	0.204780i
$651$	−3.34553	+	2.80723i	−0.131121	+	0.110024i
$652$	2.02731	−	11.4975i	0.0793958	−	0.450276i
$653$	−7.47179	+	12.9415i	−0.292394	+	0.506441i	−0.974375	−	0.224929i	$-0.927785\pi$
$653$	−7.47179	+	12.9415i	−0.292394	+	0.506441i	0.681982	+	0.731369i	$0.261118\pi$
$654$	7.22945	+	12.5218i	0.282694	+	0.489640i
$655$	7.22441	−	2.62947i	0.282281	−	0.102742i
$656$	6.33352	−	2.30521i	0.247282	−	0.0900034i
$657$	12.4826	+	21.6206i	0.486994	+	0.843499i
$658$	−0.218883	+	0.379117i	−0.00853295	+	0.0147795i
$659$	−4.68110	+	26.5478i	−0.182350	+	1.03416i	0.746964	+	0.664865i	$0.231511\pi$
$659$	−4.68110	+	26.5478i	−0.182350	+	1.03416i	−0.929314	+	0.369292i	$0.879600\pi$
$660$	3.14173	−	2.63623i	0.122292	−	0.102615i
$661$	24.1135	+	20.2336i	0.937906	+	0.786996i	0.977220	−	0.212230i	$-0.0680727\pi$
$661$	24.1135	+	20.2336i	0.937906	+	0.786996i	−0.0393138	+	0.999227i	$0.512517\pi$
$662$	0.741563	+	4.20561i	0.0288217	+	0.163456i
$663$	6.12570	+	2.22957i	0.237902	+	0.0865894i
$664$	15.0989			0.585951
$665$	2.15799	+	8.41917i	0.0836832	+	0.326482i
$666$	−3.93554			−0.152499
$667$	27.5009	+	10.0095i	1.06484	+	0.387570i
$668$	3.49577	+	19.8255i	0.135255	+	0.767070i
$669$	27.4027	+	22.9936i	1.05945	+	0.888983i
$670$	−9.27069	+	7.77903i	−0.358158	+	0.300530i
$671$	−1.47702	+	8.37662i	−0.0570199	+	0.323376i
$672$	1.34282	−	2.32584i	0.0518005	−	0.0897211i
$673$	−7.61798	−	13.1947i	−0.293652	−	0.508620i	0.681019	−	0.732266i	$-0.261537\pi$
$673$	−7.61798	−	13.1947i	−0.293652	−	0.508620i	−0.974670	+	0.223647i	$0.928204\pi$
$674$	−25.4276	+	9.25491i	−0.979436	+	0.356486i
$675$	−2.05533	+	0.748080i	−0.0791098	+	0.0287936i
$676$	−2.12974	−	3.68882i	−0.0819131	−	0.141878i
$677$	−18.5062	+	32.0537i	−0.711252	+	1.23192i	0.253135	+	0.967431i	$0.418538\pi$
$677$	−18.5062	+	32.0537i	−0.711252	+	1.23192i	−0.964387	+	0.264494i	$0.914795\pi$
$678$	4.78070	−	27.1127i	0.183602	−	1.04126i
$679$	11.4695	−	9.62405i	0.440159	−	0.369337i
$680$	−0.892424	−	0.748833i	−0.0342229	−	0.0287164i
$681$	1.49364	+	8.47084i	0.0572363	+	0.324603i
$682$	1.52809	+	0.556178i	0.0585134	+	0.0212971i
$683$	−40.3403			−1.54358			−0.771789	−	0.635879i	$-0.780638\pi$
$683$	−40.3403			−1.54358			−0.771789	+	0.635879i	$0.780638\pi$
$684$	10.5954	+	2.96297i	0.405124	+	0.113292i
$685$	5.14761			0.196680
$686$	−13.6306	−	4.96115i	−0.520420	−	0.189417i
$687$	−3.85863	−	21.8834i	−0.147216	−	0.834903i
$688$	−5.65517	−	4.74525i	−0.215601	−	0.180911i
$689$	−11.3636	+	9.53518i	−0.432918	+	0.363261i
$690$	2.18193	−	12.3743i	0.0830647	−	0.471083i
$691$	−16.2660	+	28.1735i	−0.618787	+	1.07177i	0.370921	+	0.928664i	$0.379042\pi$
$691$	−16.2660	+	28.1735i	−0.618787	+	1.07177i	−0.989707	+	0.143105i	$0.954291\pi$
$692$	−3.71637	−	6.43693i	−0.141275	−	0.244695i
$693$	2.71017	−	0.986422i	0.102951	−	0.0374711i
$694$	14.2259	−	5.17780i	0.540008	−	0.196547i
$695$	19.5667	+	33.8905i	0.742206	+	1.28554i
$696$	−11.2254	+	19.4430i	−0.425498	+	0.736985i
$697$	0.781373	−	4.43138i	0.0295966	−	0.167851i
$698$	14.7295	−	12.3595i	0.557521	−	0.467815i
$699$	−21.2058	−	17.7938i	−0.802078	−	0.673023i
$700$	−0.387932	−	2.20007i	−0.0146624	−	0.0831548i
$701$	−6.38890	−	2.32537i	−0.241305	−	0.0878279i	0.218537	−	0.975829i	$-0.429872\pi$
$701$	−6.38890	−	2.32537i	−0.241305	−	0.0878279i	−0.459842	+	0.888001i	$0.652094\pi$
$702$	4.64779			0.175420
$703$	−6.77679	+	0.518645i	−0.255591	+	0.0195611i
$704$	−1.00000			−0.0376889
$705$	−1.47646	−	0.537387i	−0.0556067	−	0.0202392i
$706$	−0.775915	−	4.40044i	−0.0292020	−	0.165613i
$707$	10.5342	+	8.83929i	0.396181	+	0.332436i
$708$	−13.8592	+	11.6292i	−0.520859	+	0.437052i
$709$	1.25809	−	7.13498i	0.0472485	−	0.267960i	−0.952027	−	0.306014i	$-0.901005\pi$
$709$	1.25809	−	7.13498i	0.0472485	−	0.267960i	0.999276	+	0.0380538i	$0.0121158\pi$
$710$	−0.942749	+	1.63289i	−0.0353807	+	0.0612813i
$711$	−11.4844	−	19.8915i	−0.430698	−	0.745990i
$712$	5.56605	−	2.02588i	0.208596	−	0.0759229i
$713$	4.68170	−	1.70400i	0.175331	−	0.0638153i
$714$	−0.896494	−	1.55277i	−0.0335504	−	0.0581111i
$715$	−3.62470	+	6.27817i	−0.135556	+	0.234790i
$716$	−1.58742	+	9.00272i	−0.0593247	+	0.336447i
$717$	−41.4171	+	34.7531i	−1.54675	+	1.29788i
$718$	22.3963	+	18.7927i	0.835823	+	0.701338i
$719$	4.11722	+	23.3499i	0.153546	+	0.870805i	0.960103	+	0.279648i	$0.0902177\pi$
$719$	4.11722	+	23.3499i	0.153546	+	0.870805i	−0.806556	+	0.591157i	$0.798671\pi$
$720$	4.13870	+	1.50636i	0.154240	+	0.0561388i
$721$	0.545045			0.0202985
$722$	18.6351	+	3.70577i	0.693527	+	0.137914i
$723$	9.21047			0.342541
$724$	3.40565	+	1.23955i	0.126570	+	0.0460677i
$725$	3.24294	+	18.3916i	0.120440	+	0.683048i
$726$	−1.80045	−	1.51076i	−0.0668209	−	0.0560694i
$727$	0.595963	−	0.500072i	0.0221030	−	0.0185467i	−0.631669	−	0.775238i	$-0.717630\pi$
$727$	0.595963	−	0.500072i	0.0221030	−	0.0185467i	0.653772	+	0.756691i	$0.273185\pi$
$728$	−0.824339	+	4.67506i	−0.0305520	+	0.173269i
$729$	8.93007	−	15.4673i	0.330743	−	0.572864i
$730$	8.62989	+	14.9474i	0.319407	+	0.553228i
$731$	−4.63134	+	1.68567i	−0.171296	+	0.0623468i
$732$	−18.7858	+	6.83748i	−0.694344	+	0.252720i
$733$	−7.74666	−	13.4176i	−0.286129	−	0.495591i	0.686753	−	0.726891i	$-0.259035\pi$
$733$	−7.74666	−	13.4176i	−0.286129	−	0.495591i	−0.972882	+	0.231300i	$0.925702\pi$
$734$	−0.259899	+	0.450158i	−0.00959304	+	0.0166156i
$735$	4.05533	−	22.9989i	0.149583	−	0.848327i
$736$	−2.34698	+	1.96935i	−0.0865109	+	0.0725913i
$737$	5.31280	+	4.45797i	0.195700	+	0.164211i
$738$	2.95406	+	16.7533i	0.108740	+	0.616697i
$739$	−42.4976	−	15.4679i	−1.56330	−	0.568994i	−0.591810	−	0.806078i	$-0.701586\pi$
$739$	−42.4976	−	15.4679i	−1.56330	−	0.568994i	−0.971489	+	0.237083i	$0.923809\pi$
$740$	−2.72084			−0.100020
$741$	−42.4375	+	3.24785i	−1.55898	+	0.119313i
$742$	4.08008			0.149785
$743$	−13.2511	−	4.82302i	−0.486137	−	0.176939i	0.0873113	−	0.996181i	$-0.472173\pi$
$743$	−13.2511	−	4.82302i	−0.486137	−	0.176939i	−0.573449	+	0.819242i	$0.694395\pi$
$744$	0.663680	+	3.76392i	0.0243317	+	0.137992i
$745$	11.1239	+	9.33405i	0.407548	+	0.341973i
$746$	22.3212	−	18.7297i	0.817238	−	0.685744i
$747$	−6.61767	+	37.5307i	−0.242128	+	1.37318i
$748$	−0.333810	+	0.578175i	−0.0122053	+	0.0211402i
$749$	0.0171040	+	0.0296250i	0.000624967	+	0.00108248i
$750$	26.8042	−	9.75593i	0.978751	−	0.356236i
$751$	−12.7233	+	4.63091i	−0.464280	+	0.168984i	−0.563560	−	0.826075i	$-0.690568\pi$
$751$	−12.7233	+	4.63091i	−0.464280	+	0.168984i	0.0992794	+	0.995060i	$0.468346\pi$
$752$	0.191554	+	0.331781i	0.00698524	+	0.0120988i
$753$	32.8360	−	56.8736i	1.19661	−	2.07259i
$754$	6.89112	−	39.0815i	0.250960	−	1.42326i
$755$	19.4563	−	16.3258i	0.708087	−	0.594156i
$756$	−0.979284	−	0.821716i	−0.0356162	−	0.0298855i
$757$	−1.50448	−	8.53231i	−0.0546811	−	0.310112i	0.945184	−	0.326538i	$-0.105882\pi$
$757$	−1.50448	−	8.53231i	−0.0546811	−	0.310112i	−0.999865	+	0.0164262i	$0.994771\pi$
$758$	0.453254	+	0.164971i	0.0164629	+	0.00599201i
$759$	−7.20083			−0.261374
$760$	7.32512	+	2.04846i	0.265710	+	0.0743053i
$761$	36.9249			1.33853			0.669264	−	0.743025i	$-0.266610\pi$
$761$	36.9249			1.33853			0.669264	+	0.743025i	$0.266610\pi$
$762$	−16.2596	−	5.91801i	−0.589024	−	0.214387i
$763$	1.22068	+	6.92280i	0.0441915	+	0.250622i
$764$	0.769817	+	0.645953i	0.0278510	+	0.0233698i
$765$	2.25248	−	1.89005i	0.0814385	−	0.0683350i
$766$	−0.896695	+	5.08541i	−0.0323989	+	0.183743i
$767$	15.9897	−	27.6949i	0.577354	−	1.00001i
$768$	−1.17516	−	2.03544i	−0.0424049	−	0.0734475i
$769$	−40.3610	+	14.6902i	−1.45546	+	0.529743i	−0.944109	−	0.329632i	$-0.893075\pi$
$769$	−40.3610	+	14.6902i	−1.45546	+	0.529743i	−0.511346	+	0.859375i	$0.670853\pi$
$770$	1.87368	−	0.681964i	0.0675228	−	0.0245763i
$771$	−22.9363	−	39.7268i	−0.826030	−	1.43073i
$772$	−4.47036	+	7.74290i	−0.160892	+	0.278673i
$773$	−4.89181	+	27.7428i	−0.175946	+	0.997840i	0.761100	+	0.648634i	$0.224660\pi$
$773$	−4.89181	+	27.7428i	−0.175946	+	0.997840i	−0.937046	+	0.349205i	$0.886452\pi$
$774$	14.2737	−	11.9770i	0.513056	−	0.430505i
$775$	2.43545	+	2.04359i	0.0874840	+	0.0734078i
$776$	−2.27530	−	12.9039i	−0.0816786	−	0.463222i
$777$	−3.93504	−	1.43224i	−0.141169	−	0.0513813i
$778$	28.9287			1.03714
$779$	7.29455	+	28.4589i	0.261354	+	1.01965i
$780$	−17.0384			−0.610073
$781$	1.01537	+	0.369564i	0.0363327	+	0.0132240i
$782$	0.355185	+	2.01436i	0.0127014	+	0.0720332i
$783$	8.18639	+	6.86920i	0.292558	+	0.245485i
$784$	−4.36209	+	3.66023i	−0.155789	+	0.130722i
$785$	5.90647	−	33.4972i	0.210811	−	1.19557i
$786$	5.17756	−	8.96779i	0.184677	−	0.319871i
$787$	−0.550424	−	0.953362i	−0.0196205	−	0.0339837i	0.856048	−	0.516896i	$-0.172912\pi$
$787$	−0.550424	−	0.953362i	−0.0196205	−	0.0339837i	−0.875669	+	0.482912i	$0.839579\pi$
$788$	6.86729	−	2.49949i	0.244637	−	0.0890406i
$789$	12.1662	−	4.42812i	0.433127	−	0.157645i
$790$	−7.93974	−	13.7520i	−0.282483	−	0.489275i
$791$	6.69247	−	11.5917i	0.237957	−	0.412153i
$792$	0.438288	−	2.48566i	0.0155739	−	0.0883239i
$793$	27.0698	−	22.7143i	0.961277	−	0.806607i
$794$	29.0832	+	24.4037i	1.03212	+	0.866056i
$795$	2.54292	+	14.4216i	0.0901881	+	0.511482i
$796$	−1.94354	−	0.707392i	−0.0688871	−	0.0250729i
$797$	−26.7333			−0.946942			−0.473471	−	0.880809i	$-0.656999\pi$
$797$	−26.7333			−0.946942			−0.473471	+	0.880809i	$0.656999\pi$
$798$	9.51573	+	6.81851i	0.336853	+	0.241372i
$799$	0.255770			0.00904849
$800$	−1.83717	−	0.668675i	−0.0649538	−	0.0236412i
$801$	2.59610	+	14.7232i	0.0917285	+	0.520218i
$802$	28.7870	+	24.1551i	1.01650	+	0.852948i
$803$	7.57706	−	6.35791i	0.267389	−	0.224366i
$804$	−2.83052	+	16.0527i	−0.0998249	+	0.566135i
$805$	3.05447	−	5.29050i	0.107656	−	0.186465i
$806$	−3.37789	−	5.85068i	−0.118981	−	0.206081i
$807$	6.12409	−	2.22899i	0.215578	−	0.0784641i
$808$	11.3087	−	4.11604i	0.397840	−	0.144802i
$809$	−15.4453	−	26.7520i	−0.543027	−	0.940551i	−0.998728	−	0.0504177i	$-0.983945\pi$
$809$	−15.4453	−	26.7520i	−0.543027	−	0.940551i	0.455701	−	0.890133i	$-0.349389\pi$
$810$	8.90059	−	15.4163i	0.312735	−	0.541673i
$811$	4.41127	−	25.0176i	0.154901	−	0.878485i	−0.803976	−	0.594662i	$-0.797286\pi$
$811$	4.41127	−	25.0176i	0.154901	−	0.878485i	0.958877	−	0.283823i	$-0.0916030\pi$
$812$	−8.36144	+	7.01608i	−0.293429	+	0.246216i
$813$	−44.7826	−	37.5770i	−1.57059	−	1.31788i
$814$	0.270761	+	1.53556i	0.00949015	+	0.0538213i
$815$	19.1437	+	6.96772i	0.670573	+	0.244069i
$816$	−1.56912			−0.0549301
$817$	23.0001	−	22.5048i	0.804670	−	0.787344i
$818$	−32.6596			−1.14192
$819$	−11.2593	−	4.09805i	−0.393431	−	0.143197i
$820$	2.04229	+	11.5824i	0.0713199	+	0.404475i
$821$	−9.10439	−	7.63949i	−0.317745	−	0.266620i	0.469939	−	0.882699i	$-0.344276\pi$
$821$	−9.10439	−	7.63949i	−0.317745	−	0.266620i	−0.787684	+	0.616079i	$0.788720\pi$
$822$	5.31127	−	4.45669i	0.185252	−	0.155445i
$823$	−2.76234	+	15.6660i	−0.0962890	+	0.546082i	0.898056	+	0.439882i	$0.144980\pi$
$823$	−2.76234	+	15.6660i	−0.0962890	+	0.546082i	−0.994345	+	0.106200i	$0.966131\pi$
$824$	0.238496	−	0.413087i	0.00830839	−	0.0143906i
$825$	−2.29753	−	3.97943i	−0.0799896	−	0.138546i
$826$	−8.26539	+	3.00836i	−0.287590	+	0.104674i
$827$	13.1034	−	4.76925i	0.455650	−	0.165843i	−0.103991	−	0.994578i	$-0.533161\pi$
$827$	13.1034	−	4.76925i	0.455650	−	0.165843i	0.559641	+	0.828735i	$0.310939\pi$
$828$	−3.86648	−	6.69693i	−0.134369	−	0.232734i
$829$	19.2826	−	33.3985i	0.669713	−	1.15998i	−0.308271	−	0.951299i	$-0.599750\pi$
$829$	19.2826	−	33.3985i	0.669713	−	1.15998i	0.977984	−	0.208679i	$-0.0669163\pi$
$830$	−4.57513	+	25.9469i	−0.158805	+	0.900629i
$831$	−34.4592	+	28.9147i	−1.19537	+	1.00304i
$832$	3.18250	+	2.67043i	0.110333	+	0.0925805i
$833$	0.660145	+	3.74387i	0.0228727	+	0.129717i
$834$	49.5304	+	18.0276i	1.71510	+	0.624244i
$835$	−35.1286			−1.21567
$836$	0.427136	−	4.33792i	0.0147728	−	0.150030i
$837$	1.81926			0.0628828
$838$	−36.0439	−	13.1189i	−1.24512	−	0.453185i
$839$	0.814543	+	4.61950i	0.0281212	+	0.159483i	0.995635	−	0.0933365i	$-0.0297532\pi$
$839$	0.814543	+	4.61950i	0.0281212	+	0.159483i	−0.967513	+	0.252819i	$0.918642\pi$
$840$	3.58997	+	3.01234i	0.123866	+	0.103936i
$841$	47.6828	−	40.0106i	1.64423	−	1.37968i
$842$	7.06186	−	40.0498i	0.243368	−	1.38021i
$843$	5.36121	−	9.28589i	0.184650	−	0.319823i
$844$	0.544903	+	0.943799i	0.0187563	+	0.0324869i
$845$	6.98443	−	2.54212i	0.240272	−	0.0874517i
$846$	−0.908648	+	0.330721i	−0.0312400	+	0.0113704i
$847$	−0.571336	−	0.989583i	−0.0196313	−	0.0340025i
$848$	1.78533	−	3.09227i	0.0613083	−	0.106189i
$849$	8.00478	−	45.3973i	0.274723	−	1.55803i
$850$	−0.999876	+	0.838996i	−0.0342955	+	0.0287773i
$851$	3.65953	+	3.07071i	0.125447	+	0.105263i
$852$	0.440996	+	2.50101i	0.0151083	+	0.0856833i
$853$	−31.7957	−	11.5727i	−1.08866	−	0.396241i	−0.265538	−	0.964100i	$-0.585550\pi$
$853$	−31.7957	−	11.5727i	−1.08866	−	0.396241i	−0.823126	+	0.567859i	$0.807772\pi$
$854$	−9.71939			−0.332591
$855$	−8.30227	+	17.3099i	−0.283932	+	0.591987i
$856$	0.0299369			0.00102322
$857$	−9.28162	−	3.37823i	−0.317054	−	0.115398i	0.178591	−	0.983923i	$-0.442846\pi$
$857$	−9.28162	−	3.37823i	−0.317054	−	0.115398i	−0.495645	+	0.868525i	$0.665068\pi$
$858$	1.69555	+	9.61595i	0.0578852	+	0.328283i
$859$	−35.7267	−	29.9783i	−1.21898	−	1.02284i	−0.998878	−	0.0473681i	$-0.984917\pi$
$859$	−35.7267	−	29.9783i	−1.21898	−	1.02284i	−0.220102	−	0.975477i	$-0.570639\pi$
$860$	9.86812	−	8.28033i	0.336500	−	0.282357i
$861$	−3.14324	+	17.8262i	−0.107121	+	0.607516i
$862$	11.0364	−	19.1156i	0.375901	−	0.651080i
$863$	−2.59755	−	4.49909i	−0.0884217	−	0.153151i	0.818422	−	0.574617i	$-0.194849\pi$
$863$	−2.59755	−	4.49909i	−0.0884217	−	0.153151i	−0.906844	+	0.421466i	$0.861516\pi$
$864$	−1.05128	+	0.382635i	−0.0357653	+	0.0130175i
$865$	12.1877	−	4.43597i	0.414395	−	0.150827i
$866$	11.1250	+	19.2691i	0.378044	+	0.654792i
$867$	19.4539	−	33.6952i	0.660690	−	1.14435i
$868$	−0.322666	+	1.82993i	−0.0109520	+	0.0621119i
$869$	−6.97111	+	5.84946i	−0.236479	+	0.198429i
$870$	−30.0106	−	25.1819i	−1.01745	−	0.853746i
$871$	−5.00327	−	28.3749i	−0.169529	−	0.961448i
$872$	5.78089	+	2.10407i	0.195766	+	0.0712528i
$873$	33.0718			1.11931
$874$	−7.54041	−	11.0222i	−0.255058	−	0.372832i
$875$	13.8679			0.468822
$876$	21.8454	+	7.95107i	0.738087	+	0.268642i
$877$	−4.78689	−	27.1478i	−0.161642	−	0.916715i	−0.952460	−	0.304664i	$-0.901456\pi$
$877$	−4.78689	−	27.1478i	−0.161642	−	0.916715i	0.790818	−	0.612051i	$-0.209655\pi$
$878$	1.94522	+	1.63223i	0.0656480	+	0.0550852i
$879$	−8.83697	+	7.41510i	−0.298064	+	0.250105i
$880$	0.303011	−	1.71846i	0.0102145	−	0.0579293i
$881$	−29.2959	+	50.7420i	−0.987005	+	1.70954i	−0.354339	+	0.935117i	$0.615294\pi$
$881$	−29.2959	+	50.7420i	−0.987005	+	1.70954i	−0.632666	+	0.774425i	$0.718039\pi$
$882$	−7.18621	−	12.4469i	−0.241972	−	0.419108i
$883$	−14.6648	+	5.33755i	−0.493510	+	0.179623i	−0.576773	−	0.816905i	$-0.695688\pi$
$883$	−14.6648	+	5.33755i	−0.493510	+	0.179623i	0.0832628	+	0.996528i	$0.473466\pi$
$884$	2.60633	−	0.948625i	0.0876602	−	0.0319057i
$885$	−15.7849	−	27.3402i	−0.530603	−	0.919031i
$886$	−2.57917	+	4.46725i	−0.0866488	+	0.150080i
$887$	6.16777	−	34.9791i	0.207093	−	1.17448i	−0.687018	−	0.726640i	$-0.741081\pi$
$887$	6.16777	−	34.9791i	0.207093	−	1.17448i	0.894112	−	0.447844i	$-0.147808\pi$
$888$	−2.80735	+	2.35564i	−0.0942084	+	0.0790502i
$889$	−6.44426	−	5.40738i	−0.216134	−	0.181358i
$890$	1.79481	+	10.1789i	0.0601623	+	0.341197i
$891$	−9.58620	−	3.48909i	−0.321150	−	0.116889i
$892$	15.2199			0.509600
$893$	−1.52106	+	0.689229i	−0.0509003	+	0.0230642i
$894$	19.5588			0.654143
$895$	−14.9898	−	5.45585i	−0.501054	−	0.182369i
$896$	−0.198423	−	1.12531i	−0.00662885	−	0.0375941i
$897$	22.9166	+	19.2293i	0.765164	+	0.642048i
$898$	3.04228	−	2.55278i	0.101522	−	0.0851874i
$899$	2.69735	−	15.2974i	0.0899617	−	0.510198i
$900$	2.46731	−	4.27350i	0.0822435	−	0.142450i
$901$	−1.19192	−	2.06446i	−0.0397085	−	0.0687772i
$902$	6.33352	−	2.30521i	0.210883	−	0.0767551i
$903$	18.6306	−	6.78098i	0.619987	−	0.225657i
$904$	−5.85686	−	10.1444i	−0.194796	−	0.337397i
$905$	−3.16208	+	5.47688i	−0.105111	+	0.182058i
$906$	5.94039	−	33.6896i	0.197356	−	1.11926i
$907$	28.3967	−	23.8276i	0.942896	−	0.791184i	−0.0351909	−	0.999381i	$-0.511204\pi$
$907$	28.3967	−	23.8276i	0.942896	−	0.791184i	0.978087	+	0.208197i	$0.0667595\pi$
$908$	2.80351	+	2.35242i	0.0930378	+	0.0780680i
$909$	5.27458	+	29.9136i	0.174947	+	0.992172i
$910$	−7.78412	−	2.83319i	−0.258041	−	0.0939193i
$911$	9.81123			0.325061			0.162530	−	0.986704i	$-0.448034\pi$
$911$	9.81123			0.325061			0.162530	+	0.986704i	$0.448034\pi$
$912$	9.33151	−	4.22834i	0.308997	−	0.140014i
$913$	15.0989			0.499701
$914$	26.6109	+	9.68556i	0.880209	+	0.320370i
$915$	−6.05763	−	34.3545i	−0.200259	−	1.13573i
$916$	−7.24253	−	6.07720i	−0.239300	−	0.200796i
$917$	3.85659	−	3.23606i	0.127356	−	0.106864i
$918$	−0.129698	+	0.735552i	−0.00428066	+	0.0242768i
$919$	5.65273	−	9.79082i	0.186466	−	0.322969i	−0.757603	−	0.652715i	$-0.773630\pi$
$919$	5.65273	−	9.79082i	0.186466	−	0.322969i	0.944070	+	0.329746i	$0.106963\pi$
$920$	−2.67309	−	4.62993i	−0.0881293	−	0.152644i
$921$	−43.6688	+	15.8941i	−1.43894	+	0.523730i
$922$	30.2648	−	11.0155i	0.996719	−	0.362776i
$923$	−2.24451	−	3.88761i	−0.0738790	−	0.127962i
$924$	1.34282	−	2.32584i	0.0441756	−	0.0765144i
$925$	−0.529357	+	3.00213i	−0.0174052	+	0.0987096i
$926$	−19.5987	+	16.4453i	−0.644055	+	0.540426i
$927$	0.922261	+	0.773869i	0.0302910	+	0.0254172i
$928$	1.65873	+	9.40713i	0.0544505	+	0.308804i
$929$	36.3691	+	13.2373i	1.19323	+	0.434301i	0.860857	−	0.508846i	$-0.169928\pi$
$929$	36.3691	+	13.2373i	1.19323	+	0.434301i	0.332375	+	0.943147i	$0.392150\pi$
$930$	−6.66925			−0.218693
$931$	−14.0146	−	20.4858i	−0.459309	−	0.671395i
$932$	−11.7781			−0.385804
$933$	75.2156	+	27.3762i	2.46245	+	0.896258i
$934$	4.22275	+	23.9484i	0.138173	+	0.783616i
$935$	−0.892424	−	0.748833i	−0.0291854	−	0.0244894i
$936$	−8.03262	+	6.74017i	−0.262554	+	0.220309i
$937$	−4.29584	+	24.3629i	−0.140339	+	0.795902i	0.830653	+	0.556791i	$0.187967\pi$
$937$	−4.29584	+	24.3629i	−0.140339	+	0.795902i	−0.970992	+	0.239112i	$0.923144\pi$
$938$	−3.96243	+	6.86313i	−0.129378	+	0.224089i
$939$	−30.7152	−	53.2003i	−1.00235	−	1.73613i
$940$	−0.628195	+	0.228644i	−0.0204895	+	0.00745756i
$941$	−18.3474	+	6.67791i	−0.598109	+	0.217694i	−0.623292	−	0.781989i	$-0.714205\pi$
$941$	−18.3474	+	6.67791i	−0.598109	+	0.217694i	0.0251835	+	0.999683i	$0.491983\pi$
$942$	−22.9069	−	39.6759i	−0.746347	−	1.29271i
$943$	10.3249	−	17.8832i	0.336224	−	0.582357i
$944$	−1.33668	+	7.58067i	−0.0435051	+	0.246730i
$945$	1.70882	−	1.43387i	0.0555880	−	0.0466439i
$946$	−5.65517	−	4.74525i	−0.183866	−	0.154282i
$947$	0.150666	+	0.854472i	0.00489600	+	0.0277666i	0.987158	−	0.159748i	$-0.0510680\pi$
$947$	0.150666	+	0.854472i	0.00489600	+	0.0277666i	−0.982262	+	0.187514i	$0.939957\pi$
$948$	−20.0984	−	7.31520i	−0.652764	−	0.237587i
$949$	−41.0923			−1.33391
$950$	3.68538	−	7.68388i	0.119570	−	0.249298i
$951$	30.0316			0.973842
$952$	−0.716863	−	0.260917i	−0.0232337	−	0.00845637i
$953$	7.61602	+	43.1926i	0.246707	+	1.39914i	0.816495	+	0.577353i	$0.195914\pi$
$953$	7.61602	+	43.1926i	0.246707	+	1.39914i	−0.569788	+	0.821792i	$0.692975\pi$
$954$	6.90384	+	5.79301i	0.223520	+	0.187556i
$955$	−1.34331	+	1.12717i	−0.0434684	+	0.0364743i
$956$	−3.99456	+	22.6543i	−0.129193	+	0.732692i
$957$	−11.2254	+	19.4430i	−0.362866	+	0.628503i
$958$	−5.18915	−	8.98787i	−0.167654	−	0.290385i
$959$	3.16756	−	1.15290i	0.102286	−	0.0372290i
$960$	3.85390	−	1.40271i	0.124384	−	0.0452722i
$961$	14.1778	+	24.5567i	0.457349	+	0.792151i
$962$	3.23891	−	5.60996i	0.104427	−	0.180872i
$963$	−0.0131210	+	0.0744128i	−0.000422818	+	0.00239792i
$964$	3.00199	−	2.51897i	0.0966875	−	0.0811305i
$965$	−11.9513	−	10.0283i	−0.384726	−	0.322823i
$966$	−1.42881	−	8.10319i	−0.0459712	−	0.260716i
$967$	26.6616	+	9.70401i	0.857378	+	0.312060i	0.733045	−	0.680180i	$-0.238099\pi$
$967$	26.6616	+	9.70401i	0.857378	+	0.312060i	0.124333	+	0.992241i	$0.460321\pi$
$968$	−1.00000			−0.0321412
$969$	0.670227	−	6.80671i	0.0215308	−	0.218663i
$970$	22.8643			0.734127
$971$	50.5687	+	18.4055i	1.62283	+	0.590661i	0.983918	−	0.178622i	$-0.0571639\pi$
$971$	50.5687	+	18.4055i	1.62283	+	0.590661i	0.638909	+	0.769283i	$0.279386\pi$
$972$	−3.58069	−	20.3071i	−0.114851	−	0.651350i
$973$	19.6306	+	16.4721i	0.629329	+	0.528070i
$974$	−13.7991	+	11.5788i	−0.442151	+	0.371009i
$975$	−3.31493	+	18.7999i	−0.106163	+	0.602079i
$976$	−4.25292	+	7.36627i	−0.136133	+	0.235789i
$977$	30.2284	+	52.3571i	0.967091	+	1.67505i	0.703888	+	0.710311i	$0.251446\pi$
$977$	30.2284	+	52.3571i	0.967091	+	1.67505i	0.263204	+	0.964740i	$0.415221\pi$
$978$	25.7848	−	9.38490i	0.824507	−	0.300096i
$979$	5.56605	−	2.02588i	0.177892	−	0.0647473i
$980$	−4.96820	−	8.60517i	−0.158703	−	0.274882i
$981$	−7.76369	+	13.4471i	−0.247876	+	0.429333i
$982$	−1.42279	+	8.06902i	−0.0454029	+	0.257493i
$983$	−20.8348	+	17.4825i	−0.664527	+	0.557605i	−0.911440	−	0.411433i	$-0.865028\pi$
$983$	−20.8348	+	17.4825i	−0.664527	+	0.557605i	0.246913	+	0.969038i	$0.420584\pi$
$984$	12.1350	+	10.1825i	0.386850	+	0.324606i
$985$	2.21441	+	12.5585i	0.0705570	+	0.400149i
$986$	5.99267	+	2.18115i	0.190845	+	0.0694621i
$987$	−1.02889			−0.0327499
$988$	−12.9435	+	12.6648i	−0.411787	+	0.402920i
$989$	−22.6177			−0.719200
$990$	4.13870	+	1.50636i	0.131536	+	0.0478753i
$991$	−0.245678	−	1.39331i	−0.00780421	−	0.0442599i	0.980657	−	0.195734i	$-0.0627090\pi$
$991$	−0.245678	−	1.39331i	−0.00780421	−	0.0442599i	−0.988461	+	0.151474i	$0.951598\pi$
$992$	1.24571	+	1.04527i	0.0395512	+	0.0331874i
$993$	−7.68880	+	6.45167i	−0.243997	+	0.204738i
$994$	−0.214402	+	1.21594i	−0.00680043	+	0.0385672i
$995$	1.80454	−	3.12556i	0.0572078	−	0.0990868i
$996$	17.7436	+	30.7329i	0.562228	+	0.973808i
$997$	0.325587	−	0.118504i	0.0103114	−	0.00375305i	−0.336859	−	0.941555i	$-0.609365\pi$
$997$	0.325587	−	0.118504i	0.0103114	−	0.00375305i	0.347171	+	0.937802i	$0.387142\pi$
$998$	8.39813	−	3.05667i	0.265838	−	0.0967572i
$999$	0.872204	+	1.51070i	0.0275953	+	0.0477965i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	418.2.j.a.23.4	✓	24
19.5	even	9	inner	418.2.j.a.309.4	yes	24
19.9	even	9		7942.2.a.bt.1.11		12
19.10	odd	18		7942.2.a.bx.1.2		12

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
418.2.j.a.23.4	✓	24	1.1	even	1	trivial
418.2.j.a.309.4	yes	24	19.5	even	9	inner
7942.2.a.bt.1.11		12	19.9	even	9
7942.2.a.bx.1.2		12	19.10	odd	18

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:	\( N \)	\(=\)	\( 418 = 2 \cdot 11 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	418.j (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 + 0.342020i) q^{2} +(0.408129 + 2.31461i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.33673 + 1.12165i) q^{5} +(-0.408129 + 2.31461i) q^{6} +(-0.571336 + 0.989583i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.37179 + 0.863259i) q^{9} +O(q^{10})\)	\(q+(0.939693 + 0.342020i) q^{2} +(0.408129 + 2.31461i) q^{3} +(0.766044 + 0.642788i) q^{4} +(-1.33673 + 1.12165i) q^{5} +(-0.408129 + 2.31461i) q^{6} +(-0.571336 + 0.989583i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-2.37179 + 0.863259i) q^{9} +(-1.63974 + 0.596815i) q^{10} +(0.500000 + 0.866025i) q^{11} +(-1.17516 + 2.03544i) q^{12} +(0.721413 - 4.09134i) q^{13} +(-0.875338 + 0.734496i) q^{14} +(-3.14173 - 2.63623i) q^{15} +(0.173648 + 0.984808i) q^{16} +(0.627357 + 0.228339i) q^{17} -2.52400 q^{18} +(-4.34619 + 0.332625i) q^{19} -1.74497 q^{20} +(-2.52368 - 0.918545i) q^{21} +(0.173648 + 0.984808i) q^{22} +(2.34698 + 1.96935i) q^{23} +(-1.80045 + 1.51076i) q^{24} +(-0.339495 + 1.92537i) q^{25} +(2.07723 - 3.59786i) q^{26} +(0.559375 + 0.968865i) q^{27} +(-1.07376 + 0.390817i) q^{28} +(8.97618 - 3.26706i) q^{29} +(-2.05062 - 3.55178i) q^{30} +(0.813077 - 1.40829i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-1.80045 + 1.51076i) q^{33} +(0.511426 + 0.429137i) q^{34} +(-0.346242 - 1.96364i) q^{35} +(-2.37179 - 0.863259i) q^{36} +1.55925 q^{37} +(-4.19785 - 1.17392i) q^{38} +9.76429 q^{39} +(-1.63974 - 0.596815i) q^{40} +(-1.17039 - 6.63759i) q^{41} +(-2.05732 - 1.72630i) q^{42} +(-5.65517 + 4.74525i) q^{43} +(-0.173648 + 0.984808i) q^{44} +(2.20215 - 3.81424i) q^{45} +(1.53188 + 2.65330i) q^{46} +(0.360003 - 0.131030i) q^{47} +(-2.20858 + 0.803857i) q^{48} +(2.84715 + 4.93141i) q^{49} +(-0.977538 + 1.69314i) q^{50} +(-0.272475 + 1.54528i) q^{51} +(3.18250 - 2.67043i) q^{52} +(-2.73528 - 2.29517i) q^{53} +(0.194269 + 1.10175i) q^{54} +(-1.63974 - 0.596815i) q^{55} -1.14267 q^{56} +(-2.54370 - 9.92399i) q^{57} +9.55225 q^{58} +(7.23339 + 2.63274i) q^{59} +(-0.712173 - 4.03893i) q^{60} +(6.51585 + 5.46745i) q^{61} +(1.24571 - 1.04527i) q^{62} +(0.500820 - 2.84029i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(3.62470 + 6.27817i) q^{65} +(-2.20858 + 0.803857i) q^{66} +(6.51712 - 2.37204i) q^{67} +(0.333810 + 0.578175i) q^{68} +(-3.60042 + 6.23610i) q^{69} +(0.346242 - 1.96364i) q^{70} +(0.827736 - 0.694553i) q^{71} +(-1.93350 - 1.62240i) q^{72} +(-1.71758 - 9.74089i) q^{73} +(1.46521 + 0.533294i) q^{74} -4.59505 q^{75} +(-3.54318 - 2.53887i) q^{76} -1.14267 q^{77} +(9.17543 + 3.33958i) q^{78} +(1.58022 + 8.96189i) q^{79} +(-1.33673 - 1.12165i) q^{80} +(-7.81474 + 6.55735i) q^{81} +(1.17039 - 6.63759i) q^{82} +(7.54945 - 13.0760i) q^{83} +(-1.34282 - 2.32584i) q^{84} +(-1.09472 + 0.398445i) q^{85} +(-6.93710 + 2.52490i) q^{86} +(11.2254 + 19.4430i) q^{87} +(-0.500000 + 0.866025i) q^{88} +(1.02856 - 5.83328i) q^{89} +(3.37390 - 2.83104i) q^{90} +(3.63655 + 3.05143i) q^{91} +(0.532018 + 3.01722i) q^{92} +(3.59149 + 1.30720i) q^{93} +0.383107 q^{94} +(5.43658 - 5.31951i) q^{95} -2.35032 q^{96} +(-12.3127 - 4.48147i) q^{97} +(0.988805 + 5.60779i) q^{98} +(-1.93350 - 1.62240i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q + 12 q^{8}+O(q^{10}) \) 24 * q + 12 * q^8	\( 24 q + 12 q^{8} + 12 q^{11} - 3 q^{12} - 3 q^{13} + 3 q^{14} + 27 q^{15} - 6 q^{18} - 21 q^{19} - 18 q^{20} + 15 q^{21} + 9 q^{23} + 36 q^{25} - 21 q^{27} - 3 q^{28} - 9 q^{30} - 27 q^{31} - 9 q^{34} - 45 q^{35} + 18 q^{37} + 9 q^{38} + 36 q^{39} - 18 q^{41} + 39 q^{42} - 48 q^{43} + 36 q^{45} - 18 q^{46} - 9 q^{47} + 6 q^{49} + 3 q^{50} - 18 q^{51} - 3 q^{52} - 36 q^{53} - 45 q^{54} + 18 q^{58} + 9 q^{59} - 9 q^{60} + 15 q^{61} - 33 q^{62} + 87 q^{63} - 12 q^{64} - 36 q^{65} + 33 q^{67} + 9 q^{68} - 18 q^{69} + 45 q^{70} - 9 q^{71} - 3 q^{73} + 3 q^{74} + 42 q^{75} + 9 q^{76} + 12 q^{78} + 15 q^{79} - 108 q^{81} + 18 q^{82} + 36 q^{83} - 9 q^{84} - 99 q^{85} - 33 q^{86} + 63 q^{87} - 12 q^{88} - 27 q^{89} - 36 q^{90} - 21 q^{91} - 9 q^{92} - 21 q^{93} + 54 q^{94} + 18 q^{95} - 6 q^{96} + 45 q^{97} + 39 q^{98}+O(q^{100}) \) 24 * q + 12 * q^8 + 12 * q^11 - 3 * q^12 - 3 * q^13 + 3 * q^14 + 27 * q^15 - 6 * q^18 - 21 * q^19 - 18 * q^20 + 15 * q^21 + 9 * q^23 + 36 * q^25 - 21 * q^27 - 3 * q^28 - 9 * q^30 - 27 * q^31 - 9 * q^34 - 45 * q^35 + 18 * q^37 + 9 * q^38 + 36 * q^39 - 18 * q^41 + 39 * q^42 - 48 * q^43 + 36 * q^45 - 18 * q^46 - 9 * q^47 + 6 * q^49 + 3 * q^50 - 18 * q^51 - 3 * q^52 - 36 * q^53 - 45 * q^54 + 18 * q^58 + 9 * q^59 - 9 * q^60 + 15 * q^61 - 33 * q^62 + 87 * q^63 - 12 * q^64 - 36 * q^65 + 33 * q^67 + 9 * q^68 - 18 * q^69 + 45 * q^70 - 9 * q^71 - 3 * q^73 + 3 * q^74 + 42 * q^75 + 9 * q^76 + 12 * q^78 + 15 * q^79 - 108 * q^81 + 18 * q^82 + 36 * q^83 - 9 * q^84 - 99 * q^85 - 33 * q^86 + 63 * q^87 - 12 * q^88 - 27 * q^89 - 36 * q^90 - 21 * q^91 - 9 * q^92 - 21 * q^93 + 54 * q^94 + 18 * q^95 - 6 * q^96 + 45 * q^97 + 39 * q^98

Introduction

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