LMFDB - Embedded newform 350.2.h.d.211.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [350,2,Mod(71,350)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(350, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([6, 0]))

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

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

chi := DirichletCharacter("350.71");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 350 = 2 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	350.h (of order $5$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.79476407074$
Analytic rank:	$0$
Dimension:	$20$
Relative dimension:	$5$ over $\Q(\zeta_{5})$
Coefficient field:	$\mathbb{Q}[x]/(x^{20} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + \cdots + 400 $ x^20 - 3x^19 + 15x^18 - 30x^17 + 145x^16 - 194x^15 + 1187x^14 - 1490x^13 + 10170x^12 - 13920x^11 + 42087x^10 - 591x^9 + 65635x^8 + 120715x^7 + 257180x^6 + 306283x^5 + 246171x^4 + 99850x^3 + 26260x^2 + 4200*x + 400
Coefficient ring:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			211.5
Root			$0.847017 - 2.60685i$ of defining polynomial
Character	$\chi$	$=$	350.211
Dual form			350.2.h.d.141.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(0.847017 - 2.60685i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.769108 + 2.09964i) q^{5} +(-0.847017 - 2.60685i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-3.65118 - 2.65274i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(0.847017 - 2.60685i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.769108 + 2.09964i) q^{5} +(-0.847017 - 2.60685i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-3.65118 - 2.65274i) q^{9} +(1.85636 + 1.24657i) q^{10} +(2.19816 - 1.59706i) q^{11} +(-2.21752 - 1.61112i) q^{12} +(-3.27339 - 2.37826i) q^{13} +(0.809017 - 0.587785i) q^{14} +(6.12489 - 0.226523i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.159278 + 0.490207i) q^{17} -4.51311 q^{18} +(2.12037 + 6.52582i) q^{19} +(2.23454 - 0.0826423i) q^{20} +(0.847017 - 2.60685i) q^{21} +(0.839624 - 2.58410i) q^{22} +(-5.95726 + 4.32821i) q^{23} -2.74101 q^{24} +(-3.81694 + 3.22970i) q^{25} -4.04613 q^{26} +(-3.35536 + 2.43781i) q^{27} +(0.309017 - 0.951057i) q^{28} +(0.623627 - 1.91933i) q^{29} +(4.82199 - 3.78338i) q^{30} +(-0.0925822 - 0.284939i) q^{31} -1.00000 q^{32} +(-2.30141 - 7.08302i) q^{33} +(0.416995 + 0.302965i) q^{34} +(0.769108 + 2.09964i) q^{35} +(-3.65118 + 2.65274i) q^{36} +(-1.51652 - 1.10182i) q^{37} +(5.55120 + 4.03318i) q^{38} +(-8.97238 + 6.51881i) q^{39} +(1.75921 - 1.38029i) q^{40} +(8.91492 + 6.47707i) q^{41} +(-0.847017 - 2.60685i) q^{42} +0.0819295 q^{43} +(-0.839624 - 2.58410i) q^{44} +(2.76163 - 9.70641i) q^{45} +(-2.27547 + 7.00318i) q^{46} +(-1.19170 + 3.66768i) q^{47} +(-2.21752 + 1.61112i) q^{48} +1.00000 q^{49} +(-1.18961 + 4.85642i) q^{50} +1.41281 q^{51} +(-3.27339 + 2.37826i) q^{52} +(4.08829 - 12.5825i) q^{53} +(-1.28163 + 3.94446i) q^{54} +(5.04387 + 3.38703i) q^{55} +(-0.309017 - 0.951057i) q^{56} +18.8078 q^{57} +(-0.623627 - 1.91933i) q^{58} +(6.83245 + 4.96407i) q^{59} +(1.67726 - 5.89511i) q^{60} +(-10.8810 + 7.90550i) q^{61} +(-0.242383 - 0.176102i) q^{62} +(-3.65118 - 2.65274i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(2.47588 - 8.70206i) q^{65} +(-6.02518 - 4.37755i) q^{66} +(1.05507 + 3.24716i) q^{67} +0.515434 q^{68} +(6.23708 + 19.1958i) q^{69} +(1.85636 + 1.24657i) q^{70} +(0.335967 - 1.03400i) q^{71} +(-1.39463 + 4.29223i) q^{72} +(7.41912 - 5.39031i) q^{73} -1.87452 q^{74} +(5.18632 + 12.6858i) q^{75} +6.86166 q^{76} +(2.19816 - 1.59706i) q^{77} +(-3.42714 + 10.5477i) q^{78} +(2.80854 - 8.64380i) q^{79} +(0.611913 - 2.15071i) q^{80} +(-0.670923 - 2.06489i) q^{81} +11.0194 q^{82} +(-2.97082 - 9.14323i) q^{83} +(-2.21752 - 1.61112i) q^{84} +(-0.906754 + 0.711448i) q^{85} +(0.0662824 - 0.0481570i) q^{86} +(-4.47518 - 3.25141i) q^{87} +(-2.19816 - 1.59706i) q^{88} +(4.80691 - 3.49243i) q^{89} +(-3.47107 - 9.47589i) q^{90} +(-3.27339 - 2.37826i) q^{91} +(2.27547 + 7.00318i) q^{92} -0.821212 q^{93} +(1.19170 + 3.66768i) q^{94} +(-12.0711 + 9.47107i) q^{95} +(-0.847017 + 2.60685i) q^{96} +(-5.18836 + 15.9681i) q^{97} +(0.809017 - 0.587785i) q^{98} -12.2625 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) $ 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/350\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$1$	$e\left(\frac{4}{5}\right)$

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 $

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	0.847017	−	2.60685i	0.489026	−	1.50507i	−0.337039	−	0.941491i	$-0.609425\pi$
$3$	0.847017	−	2.60685i	0.489026	−	1.50507i	0.826064	−	0.563576i	$-0.190575\pi$
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	0.769108	+	2.09964i	0.343956	+	0.938986i
$5$	0.769108	+	2.09964i	0.343956	+	0.938986i
$6$	−0.847017	−	2.60685i	−0.345793	−	1.06424i
$7$	1.00000			0.377964
$7$	1.00000			0.377964
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	−3.65118	−	2.65274i	−1.21706	−	0.884247i
$10$	1.85636	+	1.24657i	0.587032	+	0.394200i
$11$	2.19816	−	1.59706i	0.662771	−	0.481531i	−0.204827	−	0.978798i	$-0.565663\pi$
$11$	2.19816	−	1.59706i	0.662771	−	0.481531i	0.867598	+	0.497267i	$0.165663\pi$
$12$	−2.21752	−	1.61112i	−0.640143	−	0.465091i
$13$	−3.27339	−	2.37826i	−0.907875	−	0.659610i	0.0326018	−	0.999468i	$-0.489621\pi$
$13$	−3.27339	−	2.37826i	−0.907875	−	0.659610i	−0.940476	+	0.339859i	$0.889621\pi$
$14$	0.809017	−	0.587785i	0.216219	−	0.157092i
$15$	6.12489	−	0.226523i	1.58144	−	0.0584880i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	0.159278	+	0.490207i	0.0386306	+	0.118893i	0.968512	−	0.248966i	$-0.0800909\pi$
$17$	0.159278	+	0.490207i	0.0386306	+	0.118893i	−0.929882	+	0.367859i	$0.880091\pi$
$18$	−4.51311			−1.06375
$19$	2.12037	+	6.52582i	0.486446	+	1.49713i	0.829876	+	0.557948i	$0.188411\pi$
$19$	2.12037	+	6.52582i	0.486446	+	1.49713i	−0.343430	+	0.939178i	$0.611589\pi$
$20$	2.23454	−	0.0826423i	0.499658	−	0.0184794i
$21$	0.847017	−	2.60685i	0.184834	−	0.568862i
$22$	0.839624	−	2.58410i	0.179008	−	0.550931i
$23$	−5.95726	+	4.32821i	−1.24218	+	0.902493i	−0.997741	−	0.0671727i	$-0.978602\pi$
$23$	−5.95726	+	4.32821i	−1.24218	+	0.902493i	−0.244434	+	0.969666i	$0.578602\pi$
$24$	−2.74101			−0.559505
$25$	−3.81694	+	3.22970i	−0.763389	+	0.645939i
$26$	−4.04613			−0.793512
$27$	−3.35536	+	2.43781i	−0.645739	+	0.469157i
$28$	0.309017	−	0.951057i	0.0583987	−	0.179733i
$29$	0.623627	−	1.91933i	0.115805	−	0.356410i	−0.876309	−	0.481749i	$-0.840002\pi$
$29$	0.623627	−	1.91933i	0.115805	−	0.356410i	0.992114	+	0.125339i	$0.0400018\pi$
$30$	4.82199	−	3.78338i	0.880371	−	0.690747i
$31$	−0.0925822	−	0.284939i	−0.0166283	−	0.0511765i	0.942398	−	0.334493i	$-0.108565\pi$
$31$	−0.0925822	−	0.284939i	−0.0166283	−	0.0511765i	−0.959026	+	0.283317i	$0.908565\pi$
$32$	−1.00000			−0.176777
$33$	−2.30141	−	7.08302i	−0.400625	−	1.23300i
$34$	0.416995	+	0.302965i	0.0715140	+	0.0519580i
$35$	0.769108	+	2.09964i	0.130003	+	0.354903i
$36$	−3.65118	+	2.65274i	−0.608531	+	0.442124i
$37$	−1.51652	−	1.10182i	−0.249314	−	0.181138i	0.456108	−	0.889924i	$-0.349243\pi$
$37$	−1.51652	−	1.10182i	−0.249314	−	0.181138i	−0.705423	+	0.708787i	$0.749243\pi$
$38$	5.55120	+	4.03318i	0.900523	+	0.654268i
$39$	−8.97238	+	6.51881i	−1.43673	+	1.04385i
$40$	1.75921	−	1.38029i	0.278155	−	0.218243i
$41$	8.91492	+	6.47707i	1.39228	+	1.01155i	0.995611	+	0.0935851i	$0.0298327\pi$
$41$	8.91492	+	6.47707i	1.39228	+	1.01155i	0.396665	+	0.917963i	$0.370167\pi$
$42$	−0.847017	−	2.60685i	−0.130698	−	0.402246i
$43$	0.0819295			0.0124941			0.00624707	−	0.999980i	$-0.498011\pi$
$43$	0.0819295			0.0124941			0.00624707	+	0.999980i	$0.498011\pi$
$44$	−0.839624	−	2.58410i	−0.126578	−	0.389567i
$45$	2.76163	−	9.70641i	0.411680	−	1.44695i
$46$	−2.27547	+	7.00318i	−0.335500	+	1.03256i
$47$	−1.19170	+	3.66768i	−0.173827	+	0.534986i	−0.999578	−	0.0290498i	$-0.990752\pi$
$47$	−1.19170	+	3.66768i	−0.173827	+	0.534986i	0.825751	+	0.564035i	$0.190752\pi$
$48$	−2.21752	+	1.61112i	−0.320071	+	0.232546i
$49$	1.00000			0.142857
$50$	−1.18961	+	4.85642i	−0.168236	+	0.686802i
$51$	1.41281			0.197833
$52$	−3.27339	+	2.37826i	−0.453937	+	0.329805i
$53$	4.08829	−	12.5825i	0.561570	−	1.72834i	−0.116358	−	0.993207i	$-0.537122\pi$
$53$	4.08829	−	12.5825i	0.561570	−	1.72834i	0.677928	−	0.735128i	$-0.262878\pi$
$54$	−1.28163	+	3.94446i	−0.174408	+	0.536773i
$55$	5.04387	+	3.38703i	0.680115	+	0.456707i
$56$	−0.309017	−	0.951057i	−0.0412941	−	0.127090i
$57$	18.8078			2.49116
$58$	−0.623627	−	1.91933i	−0.0818862	−	0.252020i
$59$	6.83245	+	4.96407i	0.889509	+	0.646266i	0.935750	−	0.352664i	$-0.114724\pi$
$59$	6.83245	+	4.96407i	0.889509	+	0.646266i	−0.0462406	+	0.998930i	$0.514724\pi$
$60$	1.67726	−	5.89511i	0.216533	−	0.761056i
$61$	−10.8810	+	7.90550i	−1.39317	+	1.01220i	−0.397658	+	0.917534i	$0.630177\pi$
$61$	−10.8810	+	7.90550i	−1.39317	+	1.01220i	−0.995509	+	0.0946621i	$0.969823\pi$
$62$	−0.242383	−	0.176102i	−0.0307827	−	0.0223650i
$63$	−3.65118	−	2.65274i	−0.460006	−	0.334214i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	2.47588	−	8.70206i	0.307095	−	1.07936i
$66$	−6.02518	−	4.37755i	−0.741648	−	0.538839i
$67$	1.05507	+	3.24716i	0.128897	+	0.396704i	0.994591	−	0.103870i	$-0.0331225\pi$
$67$	1.05507	+	3.24716i	0.128897	+	0.396704i	−0.865694	+	0.500574i	$0.833122\pi$
$68$	0.515434			0.0625056
$69$	6.23708	+	19.1958i	0.750857	+	2.31090i
$70$	1.85636	+	1.24657i	0.221877	+	0.148994i
$71$	0.335967	−	1.03400i	0.0398719	−	0.122713i	−0.929139	−	0.369730i	$-0.879450\pi$
$71$	0.335967	−	1.03400i	0.0398719	−	0.122713i	0.969011	+	0.247017i	$0.0794502\pi$
$72$	−1.39463	+	4.29223i	−0.164359	+	0.505844i
$73$	7.41912	−	5.39031i	0.868342	−	0.630888i	−0.0617993	−	0.998089i	$-0.519684\pi$
$73$	7.41912	−	5.39031i	0.868342	−	0.630888i	0.930142	+	0.367201i	$0.119684\pi$
$74$	−1.87452			−0.217909
$75$	5.18632	+	12.6858i	0.598865	+	1.46483i
$76$	6.86166			0.787086
$77$	2.19816	−	1.59706i	0.250504	−	0.182002i
$78$	−3.42714	+	10.5477i	−0.388048	+	1.19429i
$79$	2.80854	−	8.64380i	0.315985	−	0.972503i	−0.659362	−	0.751826i	$-0.729173\pi$
$79$	2.80854	−	8.64380i	0.315985	−	0.972503i	0.975347	−	0.220677i	$-0.0708267\pi$
$80$	0.611913	−	2.15071i	0.0684140	−	0.240457i
$81$	−0.670923	−	2.06489i	−0.0745470	−	0.229432i
$82$	11.0194			1.21689
$83$	−2.97082	−	9.14323i	−0.326089	−	1.00360i	−0.970946	−	0.239297i	$-0.923083\pi$
$83$	−2.97082	−	9.14323i	−0.326089	−	1.00360i	0.644857	−	0.764303i	$-0.276917\pi$
$84$	−2.21752	−	1.61112i	−0.241951	−	0.175788i
$85$	−0.906754	+	0.711448i	−0.0983513	+	0.0771674i
$86$	0.0662824	−	0.0481570i	0.00714741	−	0.00519290i
$87$	−4.47518	−	3.25141i	−0.479789	−	0.348587i
$88$	−2.19816	−	1.59706i	−0.234325	−	0.170247i
$89$	4.80691	−	3.49243i	0.509532	−	0.370196i	−0.303114	−	0.952954i	$-0.598026\pi$
$89$	4.80691	−	3.49243i	0.509532	−	0.370196i	0.812646	+	0.582758i	$0.198026\pi$
$90$	−3.47107	−	9.47589i	−0.365883	−	0.998847i
$91$	−3.27339	−	2.37826i	−0.343144	−	0.249309i
$92$	2.27547	+	7.00318i	0.237234	+	0.730132i
$93$	−0.821212			−0.0851557
$94$	1.19170	+	3.66768i	0.122915	+	0.378292i
$95$	−12.0711	+	9.47107i	−1.23846	+	0.971711i
$96$	−0.847017	+	2.60685i	−0.0864483	+	0.266061i
$97$	−5.18836	+	15.9681i	−0.526798	+	1.62132i	0.233935	+	0.972252i	$0.424840\pi$
$97$	−5.18836	+	15.9681i	−0.526798	+	1.62132i	−0.760733	+	0.649065i	$0.775160\pi$
$98$	0.809017	−	0.587785i	0.0817231	−	0.0593753i
$99$	−12.2625			−1.23243
$100$	1.89212	+	4.62816i	0.189212	+	0.462816i
$101$	−18.7237			−1.86308			−0.931539	−	0.363641i	$-0.881533\pi$
$101$	−18.7237			−1.86308			−0.931539	+	0.363641i	$0.881533\pi$
$102$	1.14299	−	0.830428i	0.113172	−	0.0822246i
$103$	−2.65221	+	8.16268i	−0.261330	+	0.804292i	0.731186	+	0.682179i	$0.238967\pi$
$103$	−2.65221	+	8.16268i	−0.261330	+	0.804292i	−0.992516	+	0.122114i	$0.961033\pi$
$104$	−1.25032	+	3.84810i	−0.122604	+	0.377337i
$105$	6.12489	−	0.226523i	0.597728	−	0.0221064i
$106$	−4.08829	−	12.5825i	−0.397090	−	1.22212i
$107$	8.95771			0.865974			0.432987	−	0.901400i	$-0.357460\pi$
$107$	8.95771			0.865974			0.432987	+	0.901400i	$0.357460\pi$
$108$	1.28163	+	3.94446i	0.123325	+	0.379556i
$109$	−3.46581	−	2.51806i	−0.331965	−	0.241187i	0.409299	−	0.912400i	$-0.365773\pi$
$109$	−3.46581	−	2.51806i	−0.331965	−	0.241187i	−0.741264	+	0.671214i	$0.765773\pi$
$110$	6.07142	−	0.224546i	0.578887	−	0.0214096i
$111$	−4.15679	+	3.02009i	−0.394545	+	0.286654i
$112$	−0.809017	−	0.587785i	−0.0764449	−	0.0555405i
$113$	−13.7024	−	9.95537i	−1.28901	−	0.936523i	−0.289228	−	0.957260i	$-0.593399\pi$
$113$	−13.7024	−	9.95537i	−1.28901	−	0.936523i	−0.999785	+	0.0207373i	$0.993399\pi$
$114$	15.2159	−	11.0550i	1.42510	−	1.03539i
$115$	−13.6694	−	9.17923i	−1.27468	−	0.855967i
$116$	−1.63268	−	1.18621i	−0.151590	−	0.110137i
$117$	5.64285	+	17.3669i	0.521682	+	1.60557i
$118$	8.44537			0.777460
$119$	0.159278	+	0.490207i	0.0146010	+	0.0449372i
$120$	−2.10813	−	5.75511i	−0.192445	−	0.525368i
$121$	−1.11786	+	3.44043i	−0.101624	+	0.312766i
$122$	−4.15617	+	12.7914i	−0.376282	+	1.15808i
$123$	24.4359	−	17.7537i	2.20331	−	1.60080i
$124$	−0.299602			−0.0269051
$125$	−9.71683	−	5.53021i	−0.869100	−	0.494637i
$126$	−4.51311			−0.402060
$127$	−11.1907	+	8.13051i	−0.993013	+	0.721466i	−0.960579	−	0.278008i	$-0.910326\pi$
$127$	−11.1907	+	8.13051i	−0.993013	+	0.721466i	−0.0324339	+	0.999474i	$0.510326\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	0.0693957	−	0.213578i	0.00610995	−	0.0188045i
$130$	−3.11191	−	8.49540i	−0.272933	−	0.745096i
$131$	1.48101	+	4.55808i	0.129396	+	0.398241i	0.994676	−	0.103048i	$-0.0328594\pi$
$131$	1.48101	+	4.55808i	0.129396	+	0.398241i	−0.865280	+	0.501289i	$0.832859\pi$
$132$	−7.44753			−0.648224
$133$	2.12037	+	6.52582i	0.183859	+	0.565861i
$134$	2.76220	+	2.00686i	0.238618	+	0.173366i
$135$	−7.69915	−	5.17009i	−0.662637	−	0.444971i
$136$	0.416995	−	0.302965i	0.0357570	−	0.0259790i
$137$	−3.79774	−	2.75922i	−0.324463	−	0.235736i	0.413615	−	0.910452i	$-0.364266\pi$
$137$	−3.79774	−	2.75922i	−0.324463	−	0.235736i	−0.738077	+	0.674716i	$0.764266\pi$
$138$	16.3289	+	11.8636i	1.39001	+	1.00990i
$139$	−1.50904	+	1.09638i	−0.127995	+	0.0929939i	−0.649941	−	0.759985i	$-0.725206\pi$
$139$	−1.50904	+	1.09638i	−0.127995	+	0.0929939i	0.521946	+	0.852979i	$0.325206\pi$
$140$	2.23454	−	0.0826423i	0.188853	−	0.00698455i
$141$	8.55170	+	6.21317i	0.720183	+	0.523243i
$142$	−0.335967	−	1.03400i	−0.0281937	−	0.0867713i
$143$	−10.9937			−0.919336
$144$	1.39463	+	4.29223i	0.116219	+	0.357685i
$145$	4.50952	−	0.166780i	0.374496	−	0.0138504i
$146$	2.83385	−	8.72170i	0.234531	−	0.721813i
$147$	0.847017	−	2.60685i	0.0698608	−	0.215009i
$148$	−1.51652	+	1.10182i	−0.124657	+	0.0905688i
$149$	−4.93683			−0.404441			−0.202221	−	0.979340i	$-0.564816\pi$
$149$	−4.93683			−0.404441			−0.202221	+	0.979340i	$0.564816\pi$
$150$	11.6524	+	7.21460i	0.951411	+	0.589069i
$151$	11.6011			0.944084			0.472042	−	0.881576i	$-0.343517\pi$
$151$	11.6011			0.944084			0.472042	+	0.881576i	$0.343517\pi$
$152$	5.55120	−	4.03318i	0.450261	−	0.327134i
$153$	0.718839	−	2.21236i	0.0581147	−	0.178859i
$154$	0.839624	−	2.58410i	0.0676588	−	0.208232i
$155$	0.527062	−	0.413538i	0.0423347	−	0.0332162i
$156$	3.42714	+	10.5477i	0.274391	+	0.844489i
$157$	7.86770			0.627911			0.313955	−	0.949438i	$-0.398346\pi$
$157$	7.86770			0.627911			0.313955	+	0.949438i	$0.398346\pi$
$158$	−2.80854	−	8.64380i	−0.223435	−	0.687663i
$159$	−29.3378	−	21.3151i	−2.32664	−	1.69040i
$160$	−0.769108	−	2.09964i	−0.0608034	−	0.165991i
$161$	−5.95726	+	4.32821i	−0.469498	+	0.341110i
$162$	−1.75650	−	1.27617i	−0.138004	−	0.100265i
$163$	12.0702	+	8.76954i	0.945414	+	0.686883i	0.949718	−	0.313107i	$-0.101370\pi$
$163$	12.0702	+	8.76954i	0.945414	+	0.686883i	−0.00430387	+	0.999991i	$0.501370\pi$
$164$	8.91492	−	6.47707i	0.696138	−	0.505774i
$165$	13.1017	−	10.2797i	1.01997	−	0.800277i
$166$	−7.77770	−	5.65083i	−0.603666	−	0.438589i
$167$	−5.55949	−	17.1104i	−0.430206	−	1.32404i	−0.897920	−	0.440159i	$-0.854922\pi$
$167$	−5.55949	−	17.1104i	−0.430206	−	1.32404i	0.467713	−	0.883880i	$-0.345078\pi$
$168$	−2.74101			−0.211473
$169$	1.04175	+	3.20618i	0.0801346	+	0.246629i
$170$	−0.315401	+	1.10855i	−0.0241902	+	0.0850219i
$171$	9.56946	−	29.4518i	0.731795	−	2.25223i
$172$	0.0253176	−	0.0779196i	0.00193045	−	0.00594131i
$173$	14.4802	−	10.5205i	1.10091	−	0.799856i	0.119700	−	0.992810i	$-0.461807\pi$
$173$	14.4802	−	10.5205i	1.10091	−	0.799856i	0.981208	+	0.192954i	$0.0618068\pi$
$174$	−5.53162			−0.419351
$175$	−3.81694	+	3.22970i	−0.288534	+	0.244142i
$176$	−2.71708			−0.204808
$177$	18.7278	−	13.6065i	1.40767	−	1.02273i
$178$	1.83608	−	5.65086i	0.137620	−	0.423550i
$179$	1.06221	−	3.26916i	0.0793936	−	0.244348i	−0.903480	−	0.428631i	$-0.858996\pi$
$179$	1.06221	−	3.26916i	0.0793936	−	0.244348i	0.982873	+	0.184282i	$0.0589961\pi$
$180$	−8.37795	−	5.62591i	−0.624455	−	0.419331i
$181$	2.67758	+	8.24073i	0.199023	+	0.612529i	0.999906	+	0.0137084i	$0.00436366\pi$
$181$	2.67758	+	8.24073i	0.199023	+	0.612529i	−0.800883	+	0.598820i	$0.795636\pi$
$182$	−4.04613			−0.299919
$183$	11.3921	+	35.0612i	0.842127	+	2.59180i
$184$	5.95726	+	4.32821i	0.439175	+	0.319080i
$185$	1.14705	−	4.03156i	0.0843325	−	0.296406i
$186$	−0.664374	+	0.482696i	−0.0487143	+	0.0353930i
$187$	1.13301	+	0.823179i	0.0828538	+	0.0601968i
$188$	3.11991	+	2.26675i	0.227543	+	0.165320i
$189$	−3.35536	+	2.43781i	−0.244066	+	0.177325i
$190$	−4.19874	+	14.7574i	−0.304609	+	1.07062i
$191$	−19.1943	−	13.9455i	−1.38885	−	1.00906i	−0.995991	−	0.0894584i	$-0.971486\pi$
$191$	−19.1943	−	13.9455i	−1.38885	−	1.00906i	−0.392858	−	0.919599i	$-0.628514\pi$
$192$	0.847017	+	2.60685i	0.0611282	+	0.188133i
$193$	−2.18754			−0.157463			−0.0787313	−	0.996896i	$-0.525087\pi$
$193$	−2.18754			−0.157463			−0.0787313	+	0.996896i	$0.525087\pi$
$194$	5.18836	+	15.9681i	0.372502	+	1.14644i
$195$	−20.5879	−	13.8251i	−1.47433	−	0.990033i
$196$	0.309017	−	0.951057i	0.0220726	−	0.0679326i
$197$	6.27624	−	19.3163i	0.447164	−	1.37623i	−0.432930	−	0.901428i	$-0.642520\pi$
$197$	6.27624	−	19.3163i	0.447164	−	1.37623i	0.880094	−	0.474800i	$-0.157480\pi$
$198$	−9.92056	+	7.20771i	−0.705023	+	0.512229i
$199$	−17.6675			−1.25241			−0.626206	−	0.779657i	$-0.715393\pi$
$199$	−17.6675			−1.25241			−0.626206	+	0.779657i	$0.715393\pi$
$200$	4.25112	+	2.63210i	0.300600	+	0.186118i
$201$	9.35853			0.660100
$202$	−15.1478	+	11.0055i	−1.06580	+	0.774345i
$203$	0.623627	−	1.91933i	0.0437700	−	0.134710i
$204$	0.436582	−	1.34366i	0.0305668	−	0.0940750i
$205$	−6.74295	+	23.6997i	−0.470948	+	1.65526i
$206$	2.65221	+	8.16268i	0.184789	+	0.568721i
$207$	33.2327			2.30983
$208$	1.25032	+	3.84810i	0.0866943	+	0.266818i
$209$	15.0830	+	10.9585i	1.04332	+	0.758013i
$210$	4.82199	−	3.78338i	0.332749	−	0.261078i
$211$	−16.8091	+	12.2126i	−1.15719	+	0.840747i	−0.989420	−	0.145079i	$-0.953656\pi$
$211$	−16.8091	+	12.2126i	−1.15719	+	0.840747i	−0.167769	+	0.985826i	$0.553656\pi$
$212$	−10.7033	−	7.77640i	−0.735105	−	0.534085i
$213$	−2.41091	−	1.75163i	−0.165193	−	0.120020i
$214$	7.24694	−	5.26521i	0.495390	−	0.359922i
$215$	0.0630127	+	0.172022i	0.00429743	+	0.0117318i
$216$	3.35536	+	2.43781i	0.228303	+	0.165872i
$217$	−0.0925822	−	0.284939i	−0.00628489	−	0.0193429i
$218$	−4.28398			−0.290148
$219$	−7.76760	−	23.9062i	−0.524886	−	1.61543i
$220$	4.77990	−	3.75035i	0.322261	−	0.252849i
$221$	0.644459	−	1.98344i	0.0433510	−	0.133421i
$222$	−1.58775	+	4.88660i	−0.106563	+	0.327967i
$223$	−0.498268	+	0.362013i	−0.0333665	+	0.0242422i	−0.604344	−	0.796724i	$-0.706565\pi$
$223$	−0.498268	+	0.362013i	−0.0333665	+	0.0242422i	0.570977	+	0.820966i	$0.306565\pi$
$224$	−1.00000			−0.0668153
$225$	22.5039	−	1.66685i	1.50026	−	0.111123i
$226$	−16.9371			−1.12664
$227$	−10.4627	+	7.60160i	−0.694434	+	0.504536i	−0.878115	−	0.478450i	$-0.841199\pi$
$227$	−10.4627	+	7.60160i	−0.694434	+	0.504536i	0.183681	+	0.982986i	$0.441199\pi$
$228$	5.81194	−	17.8873i	0.384905	−	1.18462i
$229$	4.05146	−	12.4691i	0.267728	−	0.823983i	−0.723324	−	0.690509i	$-0.757387\pi$
$229$	4.05146	−	12.4691i	0.267728	−	0.823983i	0.991052	−	0.133474i	$-0.0426133\pi$
$230$	−16.4542	+	0.608544i	−1.08496	+	0.0401262i
$231$	−2.30141	−	7.08302i	−0.151422	−	0.466029i
$232$	−2.01810			−0.132495
$233$	−7.58921	−	23.3572i	−0.497186	−	1.53018i	−0.813522	−	0.581534i	$-0.802453\pi$
$233$	−7.58921	−	23.3572i	−0.497186	−	1.53018i	0.316337	−	0.948647i	$-0.397547\pi$
$234$	14.7732	+	10.7333i	0.965752	+	0.701660i
$235$	−8.61733	+	0.318704i	−0.562133	+	0.0207899i
$236$	6.83245	−	4.96407i	0.444755	−	0.323133i
$237$	−20.1542	−	14.6429i	−1.30916	−	0.951158i
$238$	0.416995	+	0.302965i	0.0270298	+	0.0196383i
$239$	−1.59506	+	1.15888i	−0.103176	+	0.0749618i	−0.638177	−	0.769890i	$-0.720311\pi$
$239$	−1.59506	+	1.15888i	−0.103176	+	0.0749618i	0.535001	+	0.844851i	$0.320311\pi$
$240$	−5.08829	−	3.41686i	−0.328447	−	0.220557i
$241$	−13.9222	−	10.1151i	−0.896809	−	0.651570i	0.0408353	−	0.999166i	$-0.486998\pi$
$241$	−13.9222	−	10.1151i	−0.896809	−	0.651570i	−0.937644	+	0.347596i	$0.886998\pi$
$242$	1.11786	+	3.44043i	0.0718590	+	0.221159i
$243$	−18.3935			−1.17994
$244$	4.15617	+	12.7914i	0.266071	+	0.818883i
$245$	0.769108	+	2.09964i	0.0491365	+	0.134141i
$246$	9.33366	−	28.7261i	0.595093	−	1.83151i
$247$	8.57929	−	26.4043i	0.545887	−	1.68007i
$248$	−0.242383	+	0.176102i	−0.0153914	+	0.0111825i
$249$	−26.3514			−1.66995
$250$	−11.1117	+	1.23738i	−0.702763	+	0.0782586i
$251$	25.8379			1.63087			0.815436	−	0.578847i	$-0.196497\pi$
$251$	25.8379			1.63087			0.815436	+	0.578847i	$0.196497\pi$
$252$	−3.65118	+	2.65274i	−0.230003	+	0.167107i
$253$	−6.18264	+	19.0282i	−0.388699	+	1.19629i
$254$	−4.27446	+	13.1554i	−0.268204	+	0.825446i
$255$	1.08660	+	2.96638i	0.0680457	+	0.185762i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	7.43791			0.463964			0.231982	−	0.972720i	$-0.425479\pi$
$257$	7.43791			0.463964			0.231982	+	0.972720i	$0.425479\pi$
$258$	−0.0693957	−	0.213578i	−0.00432039	−	0.0132968i
$259$	−1.51652	−	1.10182i	−0.0942320	−	0.0684636i
$260$	−7.51106	−	5.04379i	−0.465816	−	0.312802i
$261$	−7.36845	+	5.35350i	−0.456096	+	0.331373i
$262$	3.87733	+	2.81705i	0.239542	+	0.174038i
$263$	2.14445	+	1.55804i	0.132233	+	0.0960726i	0.651935	−	0.758274i	$-0.273957\pi$
$263$	2.14445	+	1.55804i	0.132233	+	0.0960726i	−0.519703	+	0.854347i	$0.673957\pi$
$264$	−6.02518	+	4.37755i	−0.370824	+	0.269419i
$265$	29.5630	−	1.09336i	1.81604	−	0.0671644i
$266$	5.55120	+	4.03318i	0.340366	+	0.247290i
$267$	−5.03270	−	15.4891i	−0.307996	−	0.947915i
$268$	3.41427			0.208560
$269$	6.33378	+	19.4934i	0.386177	+	1.18853i	0.935623	+	0.353002i	$0.114839\pi$
$269$	6.33378	+	19.4934i	0.386177	+	1.18853i	−0.549445	+	0.835530i	$0.685161\pi$
$270$	−9.26765	+	0.342755i	−0.564011	+	0.0208594i
$271$	−3.55815	+	10.9509i	−0.216142	+	0.665217i	0.782928	+	0.622112i	$0.213725\pi$
$271$	−3.55815	+	10.9509i	−0.216142	+	0.665217i	−0.999071	+	0.0431051i	$0.986275\pi$
$272$	0.159278	−	0.490207i	0.00965764	−	0.0297232i
$273$	−8.97238	+	6.51881i	−0.543033	+	0.394537i
$274$	−4.69427			−0.283591
$275$	−3.23225	+	13.1953i	−0.194912	+	0.795706i
$276$	20.1836			1.21491
$277$	7.02357	−	5.10292i	0.422005	−	0.306605i	−0.356439	−	0.934319i	$-0.616009\pi$
$277$	7.02357	−	5.10292i	0.422005	−	0.306605i	0.778444	+	0.627714i	$0.216009\pi$
$278$	−0.576402	+	1.77398i	−0.0345703	+	0.106396i
$279$	−0.417834	+	1.28596i	−0.0250151	+	0.0769885i
$280$	1.75921	−	1.38029i	0.105133	−	0.0824880i
$281$	0.0749693	+	0.230732i	0.00447229	+	0.0137643i	0.953268	−	0.302127i	$-0.0976966\pi$
$281$	0.0749693	+	0.230732i	0.00447229	+	0.0137643i	−0.948795	+	0.315891i	$0.897697\pi$
$282$	10.5705			0.629463
$283$	1.97309	+	6.07255i	0.117288	+	0.360975i	0.992417	−	0.122914i	$-0.0392238\pi$
$283$	1.97309	+	6.07255i	0.117288	+	0.360975i	−0.875129	+	0.483889i	$0.839224\pi$
$284$	−0.879573	−	0.639047i	−0.0521930	−	0.0379205i
$285$	14.4653	+	39.4896i	0.856849	+	2.33916i
$286$	−8.89406	+	6.46191i	−0.525917	+	0.382101i
$287$	8.91492	+	6.47707i	0.526231	+	0.382329i
$288$	3.65118	+	2.65274i	0.215148	+	0.156314i
$289$	13.5384	−	9.83619i	0.796374	−	0.578599i
$290$	3.55025	−	2.78556i	0.208478	−	0.163574i
$291$	37.2319	+	27.0506i	2.18257	+	1.58573i
$292$	−2.83385	−	8.72170i	−0.165839	−	0.510399i
$293$	6.80379			0.397482			0.198741	−	0.980052i	$-0.436315\pi$
$293$	6.80379			0.397482			0.198741	+	0.980052i	$0.436315\pi$
$294$	−0.847017	−	2.60685i	−0.0493991	−	0.152035i
$295$	−5.16784	+	18.1636i	−0.300883	+	1.05752i
$296$	−0.579259	+	1.78278i	−0.0336688	+	0.103622i
$297$	−3.48230	+	10.7174i	−0.202063	+	0.621887i
$298$	−3.99398	+	2.90180i	−0.231365	+	0.168097i
$299$	29.7940			1.72303
$300$	13.6676	−	1.01235i	0.789099	−	0.0584480i
$301$	0.0819295			0.00472234
$302$	9.38549	−	6.81896i	0.540074	−	0.392387i
$303$	−15.8593	+	48.8099i	−0.911093	+	2.80406i
$304$	2.12037	−	6.52582i	0.121611	−	0.374282i
$305$	−24.9673	−	16.7659i	−1.42963	−	0.960014i
$306$	−0.718839	−	2.21236i	−0.0410933	−	0.126472i
$307$	−2.86666			−0.163609			−0.0818045	−	0.996648i	$-0.526068\pi$
$307$	−2.86666			−0.163609			−0.0818045	+	0.996648i	$0.526068\pi$
$308$	−0.839624	−	2.58410i	−0.0478420	−	0.147243i
$309$	19.0324	+	13.8279i	1.08272	+	0.786639i
$310$	0.183331	−	0.644359i	0.0104125	−	0.0365971i
$311$	18.6717	−	13.5658i	1.05878	−	0.769245i	0.0849139	−	0.996388i	$-0.472938\pi$
$311$	18.6717	−	13.5658i	1.05878	−	0.769245i	0.973861	+	0.227143i	$0.0729385\pi$
$312$	8.97238	+	6.51881i	0.507961	+	0.369055i
$313$	−22.6326	−	16.4435i	−1.27927	−	0.929443i	−0.279738	−	0.960076i	$-0.590248\pi$
$313$	−22.6326	−	16.4435i	−1.27927	−	0.929443i	−0.999531	+	0.0306333i	$0.990248\pi$
$314$	6.36510	−	4.62452i	0.359204	−	0.260977i
$315$	2.76163	−	9.70641i	0.155600	−	0.546894i
$316$	−7.35285	−	5.34216i	−0.413630	−	0.300520i
$317$	−3.46000	−	10.6488i	−0.194333	−	0.598095i	−0.999984	−	0.00570440i	$-0.998184\pi$
$317$	−3.46000	−	10.6488i	−0.194333	−	0.598095i	0.805651	−	0.592391i	$-0.201816\pi$
$318$	−36.2635			−2.03356
$319$	−1.69444	−	5.21496i	−0.0948706	−	0.291982i
$320$	−1.85636	−	1.24657i	−0.103774	−	0.0696854i
$321$	7.58733	−	23.3514i	0.423484	−	1.30335i
$322$	−2.27547	+	7.00318i	−0.126807	+	0.390272i
$323$	−2.86128	+	2.07884i	−0.159206	+	0.115670i
$324$	−2.17115			−0.120620
$325$	20.1754	−	1.49438i	1.11913	−	0.0828932i
$326$	14.9196			0.826322
$327$	−9.49982	+	6.90202i	−0.525341	+	0.381683i
$328$	3.40520	−	10.4801i	0.188021	−	0.578668i
$329$	−1.19170	+	3.66768i	−0.0657006	+	0.202206i
$330$	4.55724	−	16.0175i	0.250868	−	0.881734i
$331$	5.94170	+	18.2867i	0.326585	+	1.00513i	0.970720	+	0.240214i	$0.0772177\pi$
$331$	5.94170	+	18.2867i	0.326585	+	1.00513i	−0.644135	+	0.764912i	$0.722782\pi$
$332$	−9.61376			−0.527624
$333$	2.61426	+	8.04587i	0.143261	+	0.440911i
$334$	−14.5549	−	10.5748i	−0.796411	−	0.578626i
$335$	−6.00640	+	4.71268i	−0.328165	+	0.257481i
$336$	−2.21752	+	1.61112i	−0.120976	+	0.0878940i
$337$	−19.8976	−	14.4564i	−1.08389	−	0.787493i	−0.105534	−	0.994416i	$-0.533655\pi$
$337$	−19.8976	−	14.4564i	−1.08389	−	0.787493i	−0.978357	+	0.206923i	$0.933655\pi$
$338$	2.72734	+	1.98153i	0.148348	+	0.107781i
$339$	−37.5584	+	27.2877i	−2.03989	+	1.48207i
$340$	0.396425	+	1.08222i	0.0214991	+	0.0586918i
$341$	−0.658575	−	0.478483i	−0.0356638	−	0.0259113i
$342$	−9.56946	−	29.4518i	−0.517457	−	1.59257i
$343$	1.00000			0.0539949
$344$	−0.0253176	−	0.0779196i	−0.00136503	−	0.00420114i
$345$	−35.5071	+	27.8592i	−1.91164	+	1.49989i
$346$	5.53094	−	17.0225i	0.297345	−	0.915134i
$347$	−6.07296	+	18.6906i	−0.326013	+	1.00337i	0.644968	+	0.764210i	$0.276871\pi$
$347$	−6.07296	+	18.6906i	−0.326013	+	1.00337i	−0.970981	+	0.239156i	$0.923129\pi$
$348$	−4.47518	+	3.25141i	−0.239895	+	0.174294i
$349$	34.0650			1.82346			0.911728	−	0.410795i	$-0.134749\pi$
$349$	34.0650			1.82346			0.911728	+	0.410795i	$0.134749\pi$
$350$	−1.18961	+	4.85642i	−0.0635871	+	0.259587i
$351$	16.7811			0.895710
$352$	−2.19816	+	1.59706i	−0.117162	+	0.0851235i
$353$	−4.61698	+	14.2096i	−0.245737	+	0.756300i	0.749778	+	0.661690i	$0.230161\pi$
$353$	−4.61698	+	14.2096i	−0.245737	+	0.756300i	−0.995514	+	0.0946103i	$0.969839\pi$
$354$	7.15338	−	22.0158i	0.380198	−	1.17013i
$355$	2.42942	−	0.0898497i	0.128940	−	0.00476873i
$356$	−1.83608	−	5.65086i	−0.0973119	−	0.299495i
$357$	1.41281			0.0747737
$358$	−1.06221	−	3.26916i	−0.0561398	−	0.172780i
$359$	18.4314	+	13.3912i	0.972772	+	0.706760i	0.956082	−	0.293100i	$-0.0946870\pi$
$359$	18.4314	+	13.3912i	0.972772	+	0.706760i	0.0166904	+	0.999861i	$0.494687\pi$
$360$	−10.0847	+	0.372974i	−0.531512	+	0.0196575i
$361$	−22.7191	+	16.5064i	−1.19574	+	0.868757i
$362$	7.00999	+	5.09305i	0.368437	+	0.267685i
$363$	8.02184	+	5.82821i	0.421037	+	0.305902i
$364$	−3.27339	+	2.37826i	−0.171572	+	0.124654i
$365$	17.0238	+	11.4317i	0.891066	+	0.598364i
$366$	29.8249	+	21.6690i	1.55897	+	1.13266i
$367$	−5.83660	−	17.9632i	−0.304668	−	0.937673i	−0.979801	−	0.199976i	$-0.935914\pi$
$367$	−5.83660	−	17.9632i	−0.304668	−	0.937673i	0.675133	−	0.737696i	$-0.264086\pi$
$368$	7.36358			0.383853
$369$	−15.3680	−	47.2980i	−0.800028	−	2.46223i
$370$	−1.44171	−	3.93582i	−0.0749510	−	0.204613i
$371$	4.08829	−	12.5825i	0.212254	−	0.653250i
$372$	−0.253768	+	0.781019i	−0.0131573	+	0.0404940i
$373$	−0.391947	+	0.284766i	−0.0202942	+	0.0147446i	−0.597886	−	0.801581i	$-0.703993\pi$
$373$	−0.391947	+	0.284766i	−0.0202942	+	0.0147446i	0.577592	+	0.816326i	$0.303993\pi$
$374$	1.40047			0.0724168
$375$	−22.6468	+	20.6462i	−1.16947	+	1.06616i
$376$	3.85642			0.198880
$377$	−6.60602	+	4.79956i	−0.340228	+	0.247190i
$378$	−1.28163	+	3.94446i	−0.0659201	+	0.202881i
$379$	2.51846	−	7.75103i	0.129365	−	0.398144i	−0.865306	−	0.501244i	$-0.832876\pi$
$379$	2.51846	−	7.75103i	0.129365	−	0.398144i	0.994671	+	0.103100i	$0.0328761\pi$
$380$	5.27736	+	14.4070i	0.270723	+	0.739063i
$381$	11.7163	+	36.0591i	0.600245	+	1.84737i
$382$	−23.7254			−1.21390
$383$	−4.84085	−	14.8986i	−0.247356	−	0.761282i	−0.995240	−	0.0974535i	$-0.968930\pi$
$383$	−4.84085	−	14.8986i	−0.247356	−	0.761282i	0.747884	−	0.663829i	$-0.231070\pi$
$384$	2.21752	+	1.61112i	0.113162	+	0.0822173i
$385$	5.04387	+	3.38703i	0.257059	+	0.172619i
$386$	−1.76976	+	1.28580i	−0.0900783	+	0.0654457i
$387$	−0.299140	−	0.217338i	−0.0152061	−	0.0110479i
$388$	13.5833	+	9.86884i	0.689587	+	0.501015i
$389$	−19.0889	+	13.8689i	−0.967847	+	0.703182i	−0.954960	−	0.296735i	$-0.904102\pi$
$389$	−19.0889	+	13.8689i	−0.967847	+	0.703182i	−0.0128871	+	0.999917i	$0.504102\pi$
$390$	−24.7821	+	0.916542i	−1.25489	+	0.0464109i
$391$	−3.07058	−	2.23090i	−0.155286	−	0.112822i
$392$	−0.309017	−	0.951057i	−0.0156077	−	0.0480356i
$393$	13.1367			0.662657
$394$	−6.27624	−	19.3163i	−0.316192	−	0.973140i
$395$	20.3089	−	0.751105i	1.02185	−	0.0377922i
$396$	−3.78932	+	11.6623i	−0.190420	+	0.586053i
$397$	2.28771	−	7.04086i	0.114817	−	0.353371i	−0.877092	−	0.480323i	$-0.840519\pi$
$397$	2.28771	−	7.04086i	0.114817	−	0.353371i	0.991909	+	0.126952i	$0.0405195\pi$
$398$	−14.2933	+	10.3847i	−0.716457	+	0.520537i
$399$	18.8078			0.941570
$400$	4.98634	−	0.369335i	0.249317	−	0.0184668i
$401$	23.9228			1.19465			0.597323	−	0.802001i	$-0.296231\pi$
$401$	23.9228			1.19465			0.597323	+	0.802001i	$0.296231\pi$
$402$	7.57121	−	5.50081i	0.377618	−	0.274355i
$403$	−0.374600	+	1.15290i	−0.0186601	+	0.0574300i
$404$	−5.78594	+	17.8073i	−0.287861	+	0.885946i
$405$	3.81950	−	2.99682i	0.189793	−	0.148913i
$406$	−0.623627	−	1.91933i	−0.0309501	−	0.0952546i
$407$	−5.09323			−0.252462
$408$	−0.436582	−	1.34366i	−0.0216140	−	0.0665211i
$409$	−25.1192	−	18.2502i	−1.24207	−	0.902413i	−0.244331	−	0.969692i	$-0.578568\pi$
$409$	−25.1192	−	18.2502i	−1.24207	−	0.902413i	−0.997734	+	0.0672786i	$0.978568\pi$
$410$	8.47515	+	23.1368i	0.418558	+	1.14265i
$411$	−10.4096	+	7.56304i	−0.513469	+	0.373057i
$412$	6.94359	+	5.04481i	0.342086	+	0.248540i
$413$	6.83245	+	4.96407i	0.336203	+	0.244266i
$414$	26.8858	−	19.5337i	1.32137	−	0.960028i
$415$	16.9126	−	13.2698i	0.830206	−	0.651387i
$416$	3.27339	+	2.37826i	0.160491	+	0.116604i
$417$	1.57992	+	4.86250i	0.0773691	+	0.238118i
$418$	18.6437			0.911891
$419$	−2.86027	−	8.80301i	−0.139733	−	0.430055i	0.856563	−	0.516043i	$-0.172595\pi$
$419$	−2.86027	−	8.80301i	−0.139733	−	0.430055i	−0.996296	+	0.0859877i	$0.972595\pi$
$420$	1.67726	−	5.89511i	0.0818418	−	0.287652i
$421$	−10.4199	+	32.0692i	−0.507836	+	1.56296i	0.288115	+	0.957596i	$0.406971\pi$
$421$	−10.4199	+	32.0692i	−0.507836	+	1.56296i	−0.795951	+	0.605361i	$0.793029\pi$
$422$	−6.42052	+	19.7603i	−0.312546	+	0.961918i
$423$	14.0805	−	10.2301i	0.684618	−	0.497404i
$424$	−13.2300			−0.642505
$425$	−2.19117	−	1.35667i	−0.106288	−	0.0658083i
$426$	−2.98005			−0.144384
$427$	−10.8810	+	7.90550i	−0.526568	+	0.382574i
$428$	2.76808	−	8.51929i	0.133800	−	0.411795i
$429$	−9.31182	+	28.6588i	−0.449579	+	1.38366i
$430$	0.152090	+	0.102131i	0.00733445	+	0.00492519i
$431$	2.29782	+	7.07197i	0.110682	+	0.340645i	0.991022	−	0.133699i	$-0.0426854\pi$
$431$	2.29782	+	7.07197i	0.110682	+	0.340645i	−0.880340	+	0.474344i	$0.842685\pi$
$432$	4.14745			0.199544
$433$	0.345025	+	1.06188i	0.0165808	+	0.0510306i	0.959005	−	0.283390i	$-0.0914592\pi$
$433$	0.345025	+	1.06188i	0.0165808	+	0.0510306i	−0.942424	+	0.334421i	$0.891459\pi$
$434$	−0.242383	−	0.176102i	−0.0116348	−	0.00845316i
$435$	3.38487	−	11.8969i	0.162292	−	0.570414i
$436$	−3.46581	+	2.51806i	−0.165982	+	0.120593i
$437$	−40.8767	−	29.6987i	−1.95540	−	1.42068i
$438$	−20.3359	−	14.7749i	−0.971685	−	0.705970i
$439$	−3.38931	+	2.46248i	−0.161763	+	0.117528i	−0.665722	−	0.746200i	$-0.731876\pi$
$439$	−3.38931	+	2.46248i	−0.161763	+	0.117528i	0.503959	+	0.863728i	$0.331876\pi$
$440$	1.66262	−	5.84365i	0.0792622	−	0.278585i
$441$	−3.65118	−	2.65274i	−0.173866	−	0.126321i
$442$	−0.644459	−	1.98344i	−0.0306538	−	0.0943427i
$443$	38.4242			1.82559			0.912793	−	0.408421i	$-0.133921\pi$
$443$	38.4242			1.82559			0.912793	+	0.408421i	$0.133921\pi$
$444$	1.58775	+	4.88660i	0.0753514	+	0.231908i
$445$	11.0299	+	7.40671i	0.522866	+	0.351112i
$446$	−0.190322	+	0.585750i	−0.00901199	+	0.0277360i
$447$	−4.18158	+	12.8696i	−0.197782	+	0.608711i
$448$	−0.809017	+	0.587785i	−0.0382225	+	0.0277702i
$449$	14.2623			0.673077			0.336539	−	0.941670i	$-0.390744\pi$
$449$	14.2623			0.673077			0.336539	+	0.941670i	$0.390744\pi$
$450$	17.2263	−	14.5760i	0.812056	−	0.687118i
$451$	29.9407			1.40985
$452$	−13.7024	+	9.95537i	−0.644507	+	0.468261i
$453$	9.82633	−	30.2423i	0.461681	−	1.42091i
$454$	−3.99640	+	12.2996i	−0.187560	+	0.577251i
$455$	2.47588	−	8.70206i	0.116071	−	0.407959i
$456$	−5.81194	−	17.8873i	−0.272169	−	0.837650i
$457$	−1.79772			−0.0840938			−0.0420469	−	0.999116i	$-0.513388\pi$
$457$	−1.79772			−0.0840938			−0.0420469	+	0.999116i	$0.513388\pi$
$458$	−4.05146	−	12.4691i	−0.189313	−	0.582644i
$459$	−1.72947	−	1.25653i	−0.0807245	−	0.0586498i
$460$	−12.9541	+	10.1639i	−0.603986	+	0.473893i
$461$	24.8698	−	18.0690i	1.15830	−	0.841556i	0.168740	−	0.985661i	$-0.446030\pi$
$461$	24.8698	−	18.0690i	1.15830	−	0.841556i	0.989562	+	0.144104i	$0.0460301\pi$
$462$	−6.02518	−	4.37755i	−0.280317	−	0.203662i
$463$	13.8301	+	10.0482i	0.642740	+	0.466978i	0.860791	−	0.508959i	$-0.169970\pi$
$463$	13.8301	+	10.0482i	0.642740	+	0.466978i	−0.218050	+	0.975938i	$0.569970\pi$
$464$	−1.63268	+	1.18621i	−0.0757951	+	0.0550684i
$465$	−0.631601	−	1.72425i	−0.0292898	−	0.0799600i
$466$	−19.8688	−	14.4355i	−0.920405	−	0.668713i
$467$	−2.72996	−	8.40196i	−0.126328	−	0.388796i	0.867813	−	0.496891i	$-0.165525\pi$
$467$	−2.72996	−	8.40196i	−0.126328	−	0.388796i	−0.994141	+	0.108095i	$0.965525\pi$
$468$	18.2606			0.844099
$469$	1.05507	+	3.24716i	0.0487185	+	0.149940i
$470$	−6.78424	+	5.32298i	−0.312934	+	0.245531i
$471$	6.66408	−	20.5099i	0.307065	−	0.945047i
$472$	2.60976	−	8.03203i	0.120124	−	0.369704i
$473$	0.180094	−	0.130846i	0.00828075	−	0.00601632i
$474$	−24.9120			−1.14424
$475$	−29.1698	−	18.0606i	−1.33840	−	0.828675i
$476$	0.515434			0.0236249
$477$	−48.3052	+	35.0958i	−2.21174	+	1.60692i
$478$	−0.609260	+	1.87511i	−0.0278669	+	0.0857655i
$479$	7.26617	−	22.3630i	0.332000	−	1.02179i	−0.636181	−	0.771540i	$-0.719487\pi$
$479$	7.26617	−	22.3630i	0.332000	−	1.02179i	0.968181	−	0.250251i	$-0.0805130\pi$
$480$	−6.12489	+	0.226523i	−0.279562	+	0.0103393i
$481$	2.34376	+	7.21335i	0.106866	+	0.328900i
$482$	−17.2088			−0.783840
$483$	6.23708	+	19.1958i	0.283797	+	0.873438i
$484$	2.92660	+	2.12630i	0.133027	+	0.0966501i
$485$	−37.5177	+	1.38755i	−1.70359	+	0.0630056i
$486$	−14.8806	+	10.8114i	−0.675000	+	0.490416i
$487$	31.7684	+	23.0811i	1.43957	+	1.04591i	0.988133	+	0.153600i	$0.0490866\pi$
$487$	31.7684	+	23.0811i	1.43957	+	1.04591i	0.451432	+	0.892306i	$0.350913\pi$
$488$	10.8810	+	7.90550i	0.492559	+	0.357865i
$489$	33.0846	−	24.0374i	1.49614	−	1.08701i
$490$	1.85636	+	1.24657i	0.0838617	+	0.0563143i
$491$	−16.2743	−	11.8240i	−0.734450	−	0.533609i	0.156518	−	0.987675i	$-0.449973\pi$
$491$	−16.2743	−	11.8240i	−0.734450	−	0.533609i	−0.890968	+	0.454066i	$0.849973\pi$
$492$	−9.33366	−	28.7261i	−0.420794	−	1.29507i
$493$	1.04020			0.0468481
$494$	−8.57929	−	26.4043i	−0.386000	−	1.18799i
$495$	−9.43118	−	25.7468i	−0.423900	−	1.15723i
$496$	−0.0925822	+	0.284939i	−0.00415707	+	0.0127941i
$497$	0.335967	−	1.03400i	0.0150702	−	0.0463812i
$498$	−21.3187	+	15.4890i	−0.955314	+	0.694077i
$499$	22.0578			0.987442			0.493721	−	0.869620i	$-0.335636\pi$
$499$	22.0578			0.987442			0.493721	+	0.869620i	$0.335636\pi$
$500$	−8.26221	+	7.53233i	−0.369497	+	0.336856i
$501$	−49.3131			−2.20315
$502$	20.9033	−	15.1871i	0.932959	−	0.677834i
$503$	−7.22050	+	22.2224i	−0.321946	+	0.990849i	0.650854	+	0.759203i	$0.274411\pi$
$503$	−7.22050	+	22.2224i	−0.321946	+	0.990849i	−0.972800	+	0.231646i	$0.925589\pi$
$504$	−1.39463	+	4.29223i	−0.0621217	+	0.191191i
$505$	−14.4006	−	39.3130i	−0.640816	−	1.74940i
$506$	6.18264	+	19.0282i	0.274852	+	0.845907i
$507$	9.24041			0.410381
$508$	4.27446	+	13.1554i	0.189649	+	0.583678i
$509$	−5.38066	−	3.90928i	−0.238493	−	0.173276i	0.462118	−	0.886818i	$-0.347090\pi$
$509$	−5.38066	−	3.90928i	−0.238493	−	0.173276i	−0.700612	+	0.713543i	$0.747090\pi$
$510$	2.62268	+	1.76116i	0.116134	+	0.0779857i
$511$	7.41912	−	5.39031i	0.328203	−	0.238453i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	−23.0233	−	16.7274i	−1.01650	−	0.738533i
$514$	6.01740	−	4.37189i	0.265416	−	0.192836i
$515$	−19.1785	+	0.709298i	−0.845105	+	0.0312554i
$516$	−0.181680	−	0.131999i	−0.00799803	−	0.00581091i
$517$	3.23794	+	9.96537i	0.142405	+	0.438276i
$518$	−1.87452			−0.0823618
$519$	−15.1603	−	46.6587i	−0.665465	−	2.04809i
$520$	−9.04124	+	0.334382i	−0.396485	+	0.0146636i
$521$	−5.83949	+	17.9721i	−0.255833	+	0.787372i	0.737832	+	0.674984i	$0.235850\pi$
$521$	−5.83949	+	17.9721i	−0.255833	+	0.787372i	−0.993664	+	0.112387i	$0.964150\pi$
$522$	−2.81450	+	8.66214i	−0.123187	+	0.379131i
$523$	12.9482	−	9.40742i	0.566185	−	0.411358i	−0.267532	−	0.963549i	$-0.586208\pi$
$523$	12.9482	−	9.40742i	0.566185	−	0.411358i	0.833718	+	0.552191i	$0.186208\pi$
$524$	4.79265			0.209368
$525$	5.18632	+	12.6858i	0.226350	+	0.553654i
$526$	2.65069			0.115576
$527$	0.124933	−	0.0907689i	0.00544215	−	0.00395396i
$528$	−2.30141	+	7.08302i	−0.100156	+	0.308249i
$529$	9.64824	−	29.6942i	0.419489	−	1.29105i
$530$	23.2743	−	18.2612i	1.01097	−	0.793217i
$531$	−11.7782	−	36.2494i	−0.511129	−	1.57309i
$532$	6.86166			0.297491
$533$	−13.7779	−	42.4039i	−0.596786	−	1.83672i
$534$	−13.1758	−	9.57276i	−0.570172	−	0.414254i
$535$	6.88945	+	18.8079i	0.297857	+	0.813137i
$536$	2.76220	−	2.00686i	0.119309	−	0.0866830i
$537$	−7.62250	−	5.53807i	−0.328935	−	0.238985i
$538$	16.5820	+	12.0476i	0.714903	+	0.519407i
$539$	2.19816	−	1.59706i	0.0946816	−	0.0687902i
$540$	−7.29622	+	5.72468i	−0.313979	+	0.246351i
$541$	1.96940	+	1.43085i	0.0846712	+	0.0615172i	0.629316	−	0.777150i	$-0.283335\pi$
$541$	1.96940	+	1.43085i	0.0846712	+	0.0615172i	−0.544644	+	0.838667i	$0.683335\pi$
$542$	3.55815	+	10.9509i	0.152836	+	0.470379i
$543$	23.7503			1.01922
$544$	−0.159278	−	0.490207i	−0.00682898	−	0.0210174i
$545$	2.62143	−	9.21361i	0.112290	−	0.394668i
$546$	−3.42714	+	10.5477i	−0.146668	+	0.451398i
$547$	−5.58392	+	17.1855i	−0.238751	+	0.734800i	0.757851	+	0.652428i	$0.226250\pi$
$547$	−5.58392	+	17.1855i	−0.238751	+	0.734800i	−0.996602	+	0.0823722i	$0.973750\pi$
$548$	−3.79774	+	2.75922i	−0.162231	+	0.117868i
$549$	60.6997			2.59060
$550$	5.14105	+	12.5751i	0.219215	+	0.536203i
$551$	13.8475			0.589924
$552$	16.3289	−	11.8636i	0.695004	−	0.504950i
$553$	2.80854	−	8.64380i	0.119431	−	0.367572i
$554$	2.68276	−	8.25670i	0.113980	−	0.350794i
$555$	−9.53811	−	6.40498i	−0.404870	−	0.271876i
$556$	0.576402	+	1.77398i	0.0244449	+	0.0752336i
$557$	−0.677353			−0.0287004			−0.0143502	−	0.999897i	$-0.504568\pi$
$557$	−0.677353			−0.0287004			−0.0143502	+	0.999897i	$0.504568\pi$
$558$	0.417834	+	1.28596i	0.0176883	+	0.0544391i
$559$	−0.268187	−	0.194849i	−0.0113431	−	0.00824125i
$560$	0.611913	−	2.15071i	0.0258581	−	0.0908842i
$561$	3.10558	−	2.25634i	0.131118	−	0.0952626i
$562$	0.196272	+	0.142600i	0.00827924	+	0.00601522i
$563$	4.14752	+	3.01335i	0.174797	+	0.126998i	0.671744	−	0.740784i	$-0.265546\pi$
$563$	4.14752	+	3.01335i	0.174797	+	0.126998i	−0.496947	+	0.867781i	$0.665546\pi$
$564$	8.55170	−	6.21317i	0.360091	−	0.261622i
$565$	10.3640	−	36.4268i	0.436018	−	1.53249i
$566$	5.16562	+	3.75304i	0.217127	+	0.157752i
$567$	−0.670923	−	2.06489i	−0.0281761	−	0.0867172i
$568$	−1.08721			−0.0456184
$569$	−4.47874	−	13.7841i	−0.187759	−	0.577862i	0.812226	−	0.583342i	$-0.198255\pi$
$569$	−4.47874	−	13.7841i	−0.187759	−	0.577862i	−0.999985	+	0.00548082i	$0.998255\pi$
$570$	34.9141	+	23.4453i	1.46239	+	0.982016i
$571$	−0.996028	+	3.06546i	−0.0416825	+	0.128285i	−0.969732	−	0.244171i	$-0.921484\pi$
$571$	−0.996028	+	3.06546i	−0.0416825	+	0.128285i	0.928050	+	0.372456i	$0.121484\pi$
$572$	−3.39723	+	10.4556i	−0.142045	+	0.437170i
$573$	−52.6116	+	38.2246i	−2.19788	+	1.59685i
$574$	11.0194			0.459943
$575$	8.75976	−	35.7607i	0.365307	−	1.49132i
$576$	4.51311			0.188046
$577$	17.6572	−	12.8287i	0.735079	−	0.534066i	−0.156087	−	0.987743i	$-0.549888\pi$
$577$	17.6572	−	12.8287i	0.735079	−	0.534066i	0.891166	+	0.453677i	$0.149888\pi$
$578$	5.17119	−	15.9153i	0.215093	−	0.661989i
$579$	−1.85289	+	5.70259i	−0.0770033	+	0.236992i
$580$	1.23490	−	4.34035i	0.0512765	−	0.180223i
$581$	−2.97082	−	9.14323i	−0.123250	−	0.379325i
$582$	46.0211			1.90764
$583$	−11.1082	−	34.1876i	−0.460055	−	1.41590i
$584$	−7.41912	−	5.39031i	−0.307005	−	0.223052i
$585$	−32.1242	+	25.2050i	−1.32817	+	1.04210i
$586$	5.50439	−	3.99917i	0.227384	−	0.165204i
$587$	25.7806	+	18.7307i	1.06408	+	0.773098i	0.974839	−	0.222912i	$-0.0715563\pi$
$587$	25.7806	+	18.7307i	1.06408	+	0.773098i	0.0892398	+	0.996010i	$0.471556\pi$
$588$	−2.21752	−	1.61112i	−0.0914490	−	0.0664416i
$589$	1.66315	−	1.20835i	0.0685290	−	0.0497892i
$590$	6.49541	+	17.7322i	0.267412	+	0.730024i
$591$	−45.0386	−	32.7224i	−1.85264	−	1.34602i
$592$	0.579259	+	1.78278i	0.0238074	+	0.0732717i
$593$	−31.2250			−1.28226			−0.641128	−	0.767434i	$-0.721533\pi$
$593$	−31.2250			−1.28226			−0.641128	+	0.767434i	$0.721533\pi$
$594$	3.48230	+	10.7174i	0.142880	+	0.439741i
$595$	−0.906754	+	0.711448i	−0.0371733	+	0.0291665i
$596$	−1.52557	+	4.69521i	−0.0624896	+	0.192323i
$597$	−14.9646	+	46.0564i	−0.612462	+	1.88496i
$598$	24.1039	−	17.5125i	0.985680	−	0.716139i
$599$	23.2161			0.948584			0.474292	−	0.880368i	$-0.342704\pi$
$599$	23.2161			0.948584			0.474292	+	0.880368i	$0.342704\pi$
$600$	10.4623	−	8.85261i	0.427120	−	0.361406i
$601$	−32.3867			−1.32108			−0.660541	−	0.750790i	$-0.729673\pi$
$601$	−32.3867			−1.32108			−0.660541	+	0.750790i	$0.729673\pi$
$602$	0.0662824	−	0.0481570i	0.00270147	−	0.00196273i
$603$	4.76164	−	14.6548i	0.193909	−	0.596790i
$604$	3.58494	−	11.0333i	0.145869	−	0.448939i
$605$	−8.08341	+	0.298957i	−0.328637	+	0.0121543i
$606$	15.8593	+	48.8099i	0.644240	+	1.98277i
$607$	19.9551			0.809951			0.404976	−	0.914327i	$-0.367280\pi$
$607$	19.9551			0.809951			0.404976	+	0.914327i	$0.367280\pi$
$608$	−2.12037	−	6.52582i	−0.0859923	−	0.264657i
$609$	−4.47518	−	3.25141i	−0.181343	−	0.131754i
$610$	−30.0538	+	1.11151i	−1.21684	+	0.0450037i
$611$	12.6236	−	9.17156i	0.510695	−	0.371042i
$612$	−1.88194	−	1.36731i	−0.0760731	−	0.0552704i
$613$	23.3276	+	16.9485i	0.942191	+	0.684542i	0.948947	−	0.315435i	$-0.102151\pi$
$613$	23.3276	+	16.9485i	0.942191	+	0.684542i	−0.00675610	+	0.999977i	$0.502151\pi$
$614$	−2.31918	+	1.68498i	−0.0935944	+	0.0680003i
$615$	56.0701	+	37.6519i	2.26096	+	1.51827i
$616$	−2.19816	−	1.59706i	−0.0885665	−	0.0643473i
$617$	0.943466	+	2.90369i	0.0379825	+	0.116898i	0.968250	−	0.249984i	$-0.0804253\pi$
$617$	0.943466	+	2.90369i	0.0379825	+	0.116898i	−0.930267	+	0.366882i	$0.880425\pi$
$618$	23.5254			0.946329
$619$	7.71053	+	23.7306i	0.309912	+	0.953812i	0.977798	+	0.209549i	$0.0671994\pi$
$619$	7.71053	+	23.7306i	0.309912	+	0.953812i	−0.667886	+	0.744264i	$0.732801\pi$
$620$	−0.230427	−	0.629056i	−0.00925416	−	0.0252635i
$621$	9.43741	−	29.0454i	0.378710	−	1.16555i
$622$	7.13196	−	21.9499i	0.285965	−	0.880111i
$623$	4.80691	−	3.49243i	0.192585	−	0.139921i
$624$	11.0905			0.443974
$625$	4.13813	−	24.6551i	0.165525	−	0.986206i
$626$	−27.9754			−1.11812
$627$	41.3427	−	30.0372i	1.65107	−	1.19957i
$628$	2.43125	−	7.48263i	0.0970176	−	0.298589i
$629$	0.298570	−	0.918904i	0.0119048	−	0.0366391i
$630$	−3.47107	−	9.47589i	−0.138291	−	0.377529i
$631$	−4.12834	−	12.7057i	−0.164347	−	0.505807i	0.834641	−	0.550794i	$-0.185675\pi$
$631$	−4.12834	−	12.7057i	−0.164347	−	0.505807i	−0.998988	+	0.0449878i	$0.985675\pi$
$632$	−9.08862			−0.361526
$633$	17.5987	+	54.1632i	0.699485	+	2.15279i
$634$	−9.05839	−	6.58131i	−0.359755	−	0.261377i
$635$	−25.6780	−	17.2431i	−1.01900	−	0.684272i
$636$	−29.3378	+	21.3151i	−1.16332	+	0.845201i
$637$	−3.27339	−	2.37826i	−0.129696	−	0.0942299i
$638$	−4.43611	−	3.22302i	−0.175627	−	0.127601i
$639$	−3.96961	+	2.88409i	−0.157035	+	0.114093i
$640$	−2.23454	+	0.0826423i	−0.0883280	+	0.00326672i
$641$	24.9069	+	18.0959i	0.983762	+	0.714745i	0.958546	−	0.284937i	$-0.0919727\pi$
$641$	24.9069	+	18.0959i	0.983762	+	0.714745i	0.0252157	+	0.999682i	$0.491973\pi$
$642$	−7.58733	−	23.3514i	−0.299448	−	0.921607i
$643$	−33.1713			−1.30815			−0.654075	−	0.756430i	$-0.726942\pi$
$643$	−33.1713			−1.30815			−0.654075	+	0.756430i	$0.726942\pi$
$644$	2.27547	+	7.00318i	0.0896662	+	0.275964i
$645$	0.501809	−	0.0185589i	0.0197587	−	0.000730757i
$646$	−1.09291	+	3.36363i	−0.0430000	+	0.132340i
$647$	−11.2639	+	34.6668i	−0.442831	+	1.36289i	0.442015	+	0.897008i	$0.354264\pi$
$647$	−11.2639	+	34.6668i	−0.442831	+	1.36289i	−0.884845	+	0.465885i	$0.845736\pi$
$648$	−1.75650	+	1.27617i	−0.0690018	+	0.0501327i
$649$	22.9467			0.900739
$650$	15.4439	−	13.0678i	0.605758	−	0.512560i
$651$	−0.821212			−0.0321858
$652$	12.0702	−	8.76954i	0.472707	−	0.343442i
$653$	−3.57421	+	11.0003i	−0.139870	+	0.430475i	−0.996316	−	0.0857619i	$-0.972668\pi$
$653$	−3.57421	+	11.0003i	−0.139870	+	0.430475i	0.856446	+	0.516237i	$0.172668\pi$
$654$	−3.62861	+	11.1677i	−0.141890	+	0.436692i
$655$	−8.43125	+	6.61524i	−0.329436	+	0.258479i
$656$	−3.40520	−	10.4801i	−0.132951	−	0.409180i
$657$	−41.3877			−1.61469
$658$	1.19170	+	3.66768i	0.0464573	+	0.142981i
$659$	32.6033	+	23.6877i	1.27005	+	0.922742i	0.999204	−	0.0398815i	$-0.0126980\pi$
$659$	32.6033	+	23.6877i	1.27005	+	0.922742i	0.270842	+	0.962624i	$0.412698\pi$
$660$	−5.72796	−	15.6371i	−0.222960	−	0.608673i
$661$	12.3954	−	9.00579i	0.482126	−	0.350285i	−0.320022	−	0.947410i	$-0.603690\pi$
$661$	12.3954	−	9.00579i	0.482126	−	0.350285i	0.802148	+	0.597125i	$0.203690\pi$
$662$	15.5556	+	11.3018i	0.604584	+	0.439256i
$663$	−4.62467	−	3.36002i	−0.179607	−	0.130492i
$664$	−7.77770	+	5.65083i	−0.301833	+	0.219295i
$665$	−12.0711	+	9.47107i	−0.468096	+	0.367272i
$666$	6.84423	+	4.97262i	0.265208	+	0.192685i
$667$	4.59213	+	14.1331i	0.177808	+	0.547237i
$668$	−17.9909			−0.696089
$669$	0.521673	+	1.60554i	0.0201690	+	0.0620739i
$670$	−2.08924	+	7.34311i	−0.0807143	+	0.283689i
$671$	−11.2926	+	34.7552i	−0.435947	+	1.34171i
$672$	−0.847017	+	2.60685i	−0.0326744	+	0.100561i
$673$	9.43132	−	6.85225i	0.363551	−	0.264135i	−0.390981	−	0.920399i	$-0.627864\pi$
$673$	9.43132	−	6.85225i	0.363551	−	0.264135i	0.754532	+	0.656264i	$0.227864\pi$
$674$	−24.5948			−0.947355
$675$	4.93383	−	20.1418i	0.189903	−	0.775257i
$676$	3.37118			0.129661
$677$	26.0446	−	18.9225i	1.00097	−	0.727250i	0.0386772	−	0.999252i	$-0.487686\pi$
$677$	26.0446	−	18.9225i	1.00097	−	0.727250i	0.962297	+	0.272002i	$0.0876856\pi$
$678$	−14.3460	+	44.1525i	−0.550955	+	1.69567i
$679$	−5.18836	+	15.9681i	−0.199111	+	0.612800i
$680$	0.956830	+	0.642525i	0.0366927	+	0.0246397i
$681$	10.9541	+	33.7134i	0.419764	+	1.29190i
$682$	−0.814043			−0.0311713
$683$	−0.470580	−	1.44830i	−0.0180063	−	0.0554176i	0.941650	−	0.336595i	$-0.109275\pi$
$683$	−0.470580	−	1.44830i	−0.0180063	−	0.0554176i	−0.959656	+	0.281177i	$0.909275\pi$
$684$	−25.0532	−	18.2022i	−0.957932	−	0.695978i
$685$	2.87248	−	10.0960i	0.109752	−	0.385749i
$686$	0.809017	−	0.587785i	0.0308884	−	0.0224417i
$687$	−29.0735	−	21.1231i	−1.10922	−	0.805898i
$688$	−0.0662824	−	0.0481570i	−0.00252699	−	0.00183597i
$689$	−43.3069	+	31.4643i	−1.64986	+	1.19870i
$690$	−12.3506	+	43.4092i	−0.470180	+	1.65256i
$691$	1.73203	+	1.25839i	0.0658895	+	0.0478715i	0.620242	−	0.784410i	$-0.287034\pi$
$691$	1.73203	+	1.25839i	0.0658895	+	0.0478715i	−0.554353	+	0.832282i	$0.687034\pi$
$692$	−5.53094	−	17.0225i	−0.210255	−	0.647097i
$693$	−12.2625			−0.465813
$694$	6.07296	+	18.6906i	0.230526	+	0.709487i
$695$	−3.46262	−	2.32520i	−0.131345	−	0.0881998i
$696$	−1.70937	+	5.26089i	−0.0647933	+	0.199413i
$697$	−1.75515	+	5.40181i	−0.0664812	+	0.204608i
$698$	27.5591	−	20.0229i	1.04313	−	0.757877i
$699$	−67.3169			−2.54616
$700$	1.89212	+	4.62816i	0.0715155	+	0.174928i
$701$	22.7303			0.858510			0.429255	−	0.903183i	$-0.358776\pi$
$701$	22.7303			0.858510			0.429255	+	0.903183i	$0.358776\pi$
$702$	13.5762	−	9.86370i	0.512401	−	0.372281i
$703$	3.97468	−	12.2328i	0.149908	−	0.461369i
$704$	−0.839624	+	2.58410i	−0.0316445	+	0.0973918i
$705$	−6.46822	+	22.7341i	−0.243607	+	0.856214i
$706$	4.61698	+	14.2096i	0.173762	+	0.534785i
$707$	−18.7237			−0.704177
$708$	−7.15338	−	22.0158i	−0.268840	−	0.827406i
$709$	−14.1306	−	10.2665i	−0.530685	−	0.385565i	0.289929	−	0.957048i	$-0.406368\pi$
$709$	−14.1306	−	10.2665i	−0.530685	−	0.385565i	−0.820614	+	0.571483i	$0.806368\pi$
$710$	1.91263	−	1.50067i	0.0717796	−	0.0563190i
$711$	−33.1842	+	24.1098i	−1.24451	+	0.904187i
$712$	−4.80691	−	3.49243i	−0.180147	−	0.130884i
$713$	1.78481	+	1.29674i	0.0668417	+	0.0485633i
$714$	1.14299	−	0.830428i	0.0427752	−	0.0310780i
$715$	−8.45531	−	23.0827i	−0.316211	−	0.863243i
$716$	−2.78091	−	2.02045i	−0.103928	−	0.0755078i
$717$	1.66999	+	5.13969i	0.0623668	+	0.191945i
$718$	22.7825			0.850234
$719$	7.41619	+	22.8247i	0.276577	+	0.851217i	0.988798	+	0.149261i	$0.0476896\pi$
$719$	7.41619	+	22.8247i	0.276577	+	0.851217i	−0.712220	+	0.701956i	$0.752310\pi$
$720$	−7.93949	+	6.22940i	−0.295887	+	0.232156i
$721$	−2.65221	+	8.16268i	−0.0987736	+	0.303994i
$722$	−8.67792	+	26.7079i	−0.322959	+	0.993964i
$723$	−38.1609	+	27.7255i	−1.41922	+	1.03112i
$724$	8.66482			0.322025
$725$	3.81849	+	9.34009i	0.141815	+	0.346882i
$726$	9.91554			0.368000
$727$	23.7997	−	17.2915i	0.882682	−	0.641306i	−0.0512780	−	0.998684i	$-0.516329\pi$
$727$	23.7997	−	17.2915i	0.882682	−	0.641306i	0.933960	+	0.357379i	$0.116329\pi$
$728$	−1.25032	+	3.84810i	−0.0463401	+	0.142620i
$729$	−13.5668	+	41.7544i	−0.502476	+	1.54646i
$730$	20.4919	−	0.757874i	0.758441	−	0.0280502i
$731$	0.0130496	+	0.0401624i	0.000482655	+	0.00148546i
$732$	36.8655			1.36259
$733$	9.80282	+	30.1700i	0.362076	+	1.11435i	0.951792	+	0.306744i	$0.0992395\pi$
$733$	9.80282	+	30.1700i	0.362076	+	1.11435i	−0.589717	+	0.807610i	$0.700761\pi$
$734$	−15.2804	−	11.1019i	−0.564011	−	0.409778i
$735$	6.12489	−	0.226523i	0.225920	−	0.00835543i
$736$	5.95726	−	4.32821i	0.219588	−	0.159540i
$737$	7.50512	+	5.45279i	0.276455	+	0.200856i
$738$	−40.2340	−	29.2317i	−1.48104	−	1.07604i
$739$	−30.0886	+	21.8606i	−1.10683	+	0.804157i	−0.982161	−	0.188042i	$-0.939786\pi$
$739$	−30.0886	+	21.8606i	−1.10683	+	0.804157i	−0.124666	+	0.992199i	$0.539786\pi$
$740$	−3.47978	−	2.33673i	−0.127919	−	0.0858997i
$741$	−61.5654	−	44.7299i	−2.26166	−	1.64319i
$742$	−4.08829	−	12.5825i	−0.150086	−	0.461917i
$743$	8.60837			0.315811			0.157905	−	0.987454i	$-0.449526\pi$
$743$	8.60837			0.315811			0.157905	+	0.987454i	$0.449526\pi$
$744$	0.253768	+	0.781019i	0.00930360	+	0.0286335i
$745$	−3.79696	−	10.3656i	−0.139110	−	0.379765i
$746$	−0.149710	+	0.460761i	−0.00548128	+	0.0168697i
$747$	−13.4076	+	41.2644i	−0.490559	+	1.50979i
$748$	1.13301	−	0.823179i	0.0414269	−	0.0300984i
$749$	8.95771			0.327307
$750$	−6.18611	+	30.0145i	−0.225885	+	1.09598i
$751$	3.39972			0.124058			0.0620288	−	0.998074i	$-0.480243\pi$
$751$	3.39972			0.124058			0.0620288	+	0.998074i	$0.480243\pi$
$752$	3.11991	−	2.26675i	0.113771	−	0.0826598i
$753$	21.8851	−	67.3555i	0.797538	−	2.45457i
$754$	−2.52328	+	7.76585i	−0.0918923	+	0.282815i
$755$	8.92251	+	24.3581i	0.324723	+	0.886482i
$756$	1.28163	+	3.94446i	0.0466125	+	0.143459i
$757$	−15.7714			−0.573222			−0.286611	−	0.958047i	$-0.592529\pi$
$757$	−15.7714			−0.573222			−0.286611	+	0.958047i	$0.592529\pi$
$758$	−2.51846	−	7.75103i	−0.0914747	−	0.281530i
$759$	44.3669	+	32.2344i	1.61042	+	1.17004i
$760$	12.7377	+	8.55354i	0.462044	+	0.310270i
$761$	−21.2846	+	15.4641i	−0.771565	+	0.560575i	−0.902436	−	0.430825i	$-0.858223\pi$
$761$	−21.2846	+	15.4641i	−0.771565	+	0.560575i	0.130871	+	0.991399i	$0.458223\pi$
$762$	30.6737	+	22.2858i	1.11119	+	0.807328i
$763$	−3.46581	−	2.51806i	−0.125471	−	0.0911599i
$764$	−19.1943	+	13.9455i	−0.694424	+	0.504529i
$765$	5.19801	−	0.192244i	0.187935	−	0.00695058i
$766$	−12.6735	−	9.20784i	−0.457912	−	0.332693i
$767$	−10.5594	−	32.4986i	−0.381280	−	1.17346i
$768$	2.74101			0.0989075
$769$	−12.7352	−	39.1949i	−0.459243	−	1.41340i	−0.866081	−	0.499904i	$-0.833369\pi$
$769$	−12.7352	−	39.1949i	−0.459243	−	1.41340i	0.406838	−	0.913500i	$-0.366631\pi$
$770$	6.07142	−	0.224546i	0.218799	−	0.00809207i
$771$	6.30004	−	19.3895i	0.226890	−	0.698297i
$772$	−0.675987	+	2.08048i	−0.0243293	+	0.0748779i
$773$	−14.2595	+	10.3601i	−0.512877	+	0.372627i	−0.813914	−	0.580986i	$-0.802667\pi$
$773$	−14.2595	+	10.3601i	−0.512877	+	0.372627i	0.301037	+	0.953613i	$0.402667\pi$
$774$	−0.369757			−0.0132906
$775$	1.27365	+	0.788583i	0.0457508	+	0.0283267i
$776$	16.7899			0.602721
$777$	−4.15679	+	3.02009i	−0.149124	+	0.108345i
$778$	−7.29132	+	22.4404i	−0.261407	+	0.804527i
$779$	−23.3653	+	71.9110i	−0.837148	+	2.57648i
$780$	−19.5104	+	15.3080i	−0.698585	+	0.548116i
$781$	−0.912848	−	2.80946i	−0.0326643	−	0.100530i
$782$	−3.79544			−0.135725
$783$	2.58646	+	7.96031i	0.0924326	+	0.284478i
$784$	−0.809017	−	0.587785i	−0.0288935	−	0.0209923i
$785$	6.05111	+	16.5193i	0.215974	+	0.589599i
$786$	10.6278	−	7.72154i	0.379081	−	0.275418i
$787$	−26.0204	−	18.9049i	−0.927525	−	0.673887i	0.0178603	−	0.999840i	$-0.494315\pi$
$787$	−26.0204	−	18.9049i	−0.927525	−	0.673887i	−0.945386	+	0.325954i	$0.894315\pi$
$788$	−16.4314	−	11.9381i	−0.585345	−	0.425278i
$789$	5.87796	−	4.27059i	0.209261	−	0.152037i
$790$	15.9888	−	12.5449i	0.568854	−	0.446328i
$791$	−13.7024	−	9.95537i	−0.487201	−	0.353972i
$792$	3.78932	+	11.6623i	0.134647	+	0.414402i
$793$	54.4190			1.93248
$794$	−2.28771	−	7.04086i	−0.0811879	−	0.249871i
$795$	22.1901	−	77.9923i	0.787002	−	2.76610i
$796$	−5.45954	+	16.8028i	−0.193508	+	0.595558i
$797$	−14.4747	+	44.5485i	−0.512720	+	1.57799i	0.274674	+	0.961537i	$0.411430\pi$
$797$	−14.4747	+	44.5485i	−0.512720	+	1.57799i	−0.787393	+	0.616451i	$0.788570\pi$
$798$	15.2159	−	11.0550i	0.538636	−	0.391342i
$799$	−1.98773			−0.0703209
$800$	3.81694	−	3.22970i	0.134949	−	0.114187i
$801$	−26.8154			−0.947477
$802$	19.3539	−	14.0615i	0.683411	−	0.496527i
$803$	7.69980	−	23.6975i	0.271720	−	0.836268i
$804$	2.89194	−	8.90049i	0.101991	−	0.313896i
$805$	−13.6694	−	9.17923i	−0.481784	−	0.323525i
$806$	0.374600	+	1.15290i	0.0131947	+	0.0406092i
$807$	56.1811			1.97767
$808$	5.78594	+	17.8073i	0.203549	+	0.626459i
$809$	0.265845	+	0.193148i	0.00934662	+	0.00679071i	0.592449	−	0.805608i	$-0.298161\pi$
$809$	0.265845	+	0.193148i	0.00934662	+	0.00679071i	−0.583102	+	0.812399i	$0.698161\pi$
$810$	1.32856	−	4.66952i	0.0466807	−	0.164070i
$811$	23.6110	−	17.1544i	0.829094	−	0.602372i	−0.0902089	−	0.995923i	$-0.528753\pi$
$811$	23.6110	−	17.1544i	0.829094	−	0.602372i	0.919303	+	0.393551i	$0.128753\pi$
$812$	−1.63268	−	1.18621i	−0.0572957	−	0.0416278i
$813$	25.5334	+	18.5511i	0.895497	+	0.650616i
$814$	−4.12051	+	2.99372i	−0.144424	+	0.104930i
$815$	−9.12952	+	32.0878i	−0.319793	+	1.12399i
$816$	−1.14299	−	0.830428i	−0.0400125	−	0.0290708i
$817$	0.173721	+	0.534658i	0.00607772	+	0.0187053i
$818$	−31.0491			−1.08560
$819$	5.64285	+	17.3669i	0.197177	+	0.606849i
$820$	20.4560	+	13.7365i	0.714356	+	0.479700i
$821$	4.82067	−	14.8365i	0.168242	−	0.517797i	−0.831018	−	0.556245i	$-0.812242\pi$
$821$	4.82067	−	14.8365i	0.168242	−	0.517797i	0.999261	+	0.0384484i	$0.0122415\pi$
$822$	−3.97612	+	12.2373i	−0.138683	+	0.426823i
$823$	−5.50854	+	4.00219i	−0.192015	+	0.139507i	−0.679639	−	0.733546i	$-0.737864\pi$
$823$	−5.50854	+	4.00219i	−0.192015	+	0.139507i	0.487624	+	0.873054i	$0.337864\pi$
$824$	8.58275			0.298994
$825$	31.6604	+	19.6026i	1.10227	+	0.682476i
$826$	8.44537			0.293852
$827$	−26.0809	+	18.9489i	−0.906923	+	0.658918i	−0.940235	−	0.340527i	$-0.889395\pi$
$827$	−26.0809	+	18.9489i	−0.906923	+	0.658918i	0.0333118	+	0.999445i	$0.489395\pi$
$828$	10.2695	−	31.6062i	0.356888	−	1.09839i
$829$	8.83350	−	27.1867i	0.306800	−	0.944234i	−0.672199	−	0.740370i	$-0.734650\pi$
$829$	8.83350	−	27.1867i	0.306800	−	0.944234i	0.978999	−	0.203863i	$-0.0653499\pi$
$830$	5.88279	−	20.6764i	0.204195	−	0.717690i
$831$	−7.35347	−	22.6317i	−0.255089	−	0.785084i
$832$	4.04613			0.140274
$833$	0.159278	+	0.490207i	0.00551865	+	0.0169847i
$834$	4.13629	+	3.00519i	0.143228	+	0.104061i
$835$	31.6497	−	24.8326i	1.09528	−	0.859369i
$836$	15.0830	−	10.9585i	0.521658	−	0.379007i
$837$	1.00527	+	0.730374i	0.0347473	+	0.0252454i
$838$	−7.48828	−	5.44056i	−0.258678	−	0.187941i
$839$	−3.35678	+	2.43884i	−0.115889	+	0.0841983i	−0.644220	−	0.764840i	$-0.722818\pi$
$839$	−3.35678	+	2.43884i	−0.115889	+	0.0841983i	0.528331	+	0.849038i	$0.322818\pi$
$840$	−2.10813	−	5.75511i	−0.0727374	−	0.198570i
$841$	20.1666	+	14.6519i	0.695400	+	0.505237i
$842$	10.4199	+	32.0692i	0.359094	+	1.10518i
$843$	0.664984			0.0229033
$844$	6.42052	+	19.7603i	0.221003	+	0.680179i
$845$	−5.93059	+	4.65320i	−0.204018	+	0.160075i
$846$	5.37828	−	16.5526i	0.184909	−	0.569091i
$847$	−1.11786	+	3.44043i	−0.0384102	+	0.118215i
$848$	−10.7033	+	7.77640i	−0.367553	+	0.267043i
$849$	17.5015			0.600649
$850$	−2.57013	+	0.190368i	−0.0881547	+	0.00652957i
$851$	13.8032			0.473168
$852$	−2.41091	+	1.75163i	−0.0825965	+	0.0600099i
$853$	−17.4671	+	53.7583i	−0.598064	+	1.84065i	−0.0592196	+	0.998245i	$0.518861\pi$
$853$	−17.4671	+	53.7583i	−0.598064	+	1.84065i	−0.538844	+	0.842406i	$0.681139\pi$
$854$	−4.15617	+	12.7914i	−0.142221	+	0.437712i
$855$	69.1980	−	2.55922i	2.36652	−	0.0875235i
$856$	−2.76808	−	8.51929i	−0.0946111	−	0.291183i
$857$	−10.8700			−0.371310			−0.185655	−	0.982615i	$-0.559441\pi$
$857$	−10.8700			−0.371310			−0.185655	+	0.982615i	$0.559441\pi$
$858$	9.31182	+	28.6588i	0.317900	+	0.978396i
$859$	19.6549	+	14.2801i	0.670616	+	0.487231i	0.870231	−	0.492643i	$-0.163969\pi$
$859$	19.6549	+	14.2801i	0.670616	+	0.487231i	−0.199615	+	0.979874i	$0.563969\pi$
$860$	0.183075	−	0.00677085i	0.00624280	−	0.000230884i
$861$	24.4359	−	17.7537i	0.832772	−	0.605044i
$862$	6.01578	+	4.37072i	0.204898	+	0.148867i
$863$	9.33199	+	6.78009i	0.317665	+	0.230797i	0.735178	−	0.677874i	$-0.237098\pi$
$863$	9.33199	+	6.78009i	0.317665	+	0.230797i	−0.417514	+	0.908671i	$0.637098\pi$
$864$	3.35536	−	2.43781i	0.114152	−	0.0829360i
$865$	33.2260	+	22.3117i	1.12972	+	0.758621i
$866$	0.903287	+	0.656277i	0.0306950	+	0.0223012i
$867$	−14.1743	−	43.6239i	−0.481383	−	1.48155i
$868$	−0.299602			−0.0101692
$869$	−7.63102	−	23.4859i	−0.258865	−	0.796704i
$870$	−4.25442	−	11.6144i	−0.144238	−	0.393765i
$871$	4.26894	−	13.1384i	0.144647	−	0.445179i
$872$	−1.32382	+	4.07431i	−0.0448303	+	0.137974i
$873$	61.3029	−	44.5392i	2.07479	−	1.50742i
$874$	−50.5264			−1.70908
$875$	−9.71683	−	5.53021i	−0.328489	−	0.186955i
$876$	−25.1365			−0.849283
$877$	−27.2508	+	19.7989i	−0.920194	+	0.668560i	−0.943572	−	0.331167i	$-0.892558\pi$
$877$	−27.2508	+	19.7989i	−0.920194	+	0.668560i	0.0233786	+	0.999727i	$0.492558\pi$
$878$	−1.29460	+	3.98437i	−0.0436907	+	0.134466i
$879$	5.76293	−	17.7365i	0.194379	−	0.598237i
$880$	−2.08973	−	5.70488i	−0.0704447	−	0.192311i
$881$	−15.2745	−	47.0100i	−0.514610	−	1.58381i	−0.783991	−	0.620773i	$-0.786819\pi$
$881$	−15.2745	−	47.0100i	−0.514610	−	1.58381i	0.269381	−	0.963034i	$-0.413181\pi$
$882$	−4.51311			−0.151964
$883$	−3.67289	−	11.3040i	−0.123602	−	0.380409i	0.870041	−	0.492979i	$-0.164092\pi$
$883$	−3.67289	−	11.3040i	−0.123602	−	0.380409i	−0.993644	+	0.112569i	$0.964092\pi$
$884$	−1.68722	−	1.22583i	−0.0567472	−	0.0412293i
$885$	42.9725	+	28.8566i	1.44450	+	0.970005i
$886$	31.0858	−	22.5852i	1.04435	−	0.758763i
$887$	20.9020	+	15.1862i	0.701820	+	0.509902i	0.880525	−	0.474000i	$-0.157191\pi$
$887$	20.9020	+	15.1862i	0.701820	+	0.509902i	−0.178704	+	0.983903i	$0.557191\pi$
$888$	4.15679	+	3.02009i	0.139493	+	0.101347i
$889$	−11.1907	+	8.13051i	−0.375324	+	0.272688i
$890$	13.2769	−	0.491033i	0.445043	−	0.0164595i
$891$	−4.77255	−	3.46746i	−0.159886	−	0.116164i
$892$	0.190322	+	0.585750i	0.00637244	+	0.0196123i
$893$	−26.4615			−0.885499
$894$	4.18158	+	12.8696i	0.139853	+	0.430424i
$895$	7.68100	−	0.284074i	0.256748	−	0.00949556i
$896$	−0.309017	+	0.951057i	−0.0103235	+	0.0317726i
$897$	25.2361	−	77.6686i	0.842607	−	2.59328i
$898$	11.5384	−	8.38314i	0.385042	−	0.279749i
$899$	−0.604628			−0.0201655
$900$	5.36882	−	21.9176i	0.178961	−	0.730586i
$901$	6.81919			0.227180
$902$	24.2225	−	17.5987i	0.806523	−	0.585973i
$903$	0.0693957	−	0.213578i	0.00230935	−	0.00710743i
$904$	−5.23385	+	16.1081i	−0.174075	+	0.535749i
$905$	−15.2432	+	11.9600i	−0.506701	+	0.397562i
$906$	−9.82633	−	30.2423i	−0.326458	−	1.00473i
$907$	45.6566			1.51600			0.758001	−	0.652253i	$-0.226176\pi$
$907$	45.6566			1.51600			0.758001	+	0.652253i	$0.226176\pi$
$908$	3.99640	+	12.2996i	0.132625	+	0.408178i
$909$	68.3637	+	49.6691i	2.26748	+	1.64742i
$910$	−3.11191	−	8.49540i	−0.103159	−	0.281620i
$911$	15.3352	−	11.1417i	0.508077	−	0.369140i	−0.304016	−	0.952667i	$-0.598328\pi$
$911$	15.3352	−	11.1417i	0.508077	−	0.369140i	0.812094	+	0.583527i	$0.198328\pi$
$912$	−15.2159	−	11.0550i	−0.503848	−	0.366067i
$913$	−21.1326	−	15.3537i	−0.699388	−	0.508135i
$914$	−1.45439	+	1.05667i	−0.0481068	+	0.0349516i
$915$	−64.8541	+	50.8851i	−2.14401	+	1.68221i
$916$	−10.6069	−	7.70634i	−0.350461	−	0.254625i
$917$	1.48101	+	4.55808i	0.0489072	+	0.150521i
$918$	−2.13774			−0.0705558
$919$	−12.6845	−	39.0389i	−0.418423	−	1.28777i	−0.909153	−	0.416462i	$-0.863270\pi$
$919$	−12.6845	−	39.0389i	−0.418423	−	1.28777i	0.490730	−	0.871312i	$-0.336730\pi$
$920$	−4.50588	+	15.8369i	−0.148554	+	0.522129i
$921$	−2.42811	+	7.47296i	−0.0800090	+	0.246242i
$922$	9.49942	−	29.2362i	0.312847	−	0.962844i
$923$	−3.55887	+	2.58567i	−0.117141	+	0.0851083i
$924$	−7.44753			−0.245006
$925$	9.34701	−	0.692327i	0.307328	−	0.0227636i
$926$	17.0950			0.561776
$927$	31.3372	−	22.7678i	1.02925	−	0.747793i
$928$	−0.623627	+	1.91933i	−0.0204716	+	0.0630050i
$929$	−8.78736	+	27.0447i	−0.288304	+	0.887309i	0.697085	+	0.716989i	$0.254480\pi$
$929$	−8.78736	+	27.0447i	−0.288304	+	0.887309i	−0.985389	+	0.170320i	$0.945520\pi$
$930$	−1.52446	−	1.02370i	−0.0499891	−	0.0335684i
$931$	2.12037	+	6.52582i	0.0694923	+	0.213875i
$932$	−24.5592			−0.804464
$933$	−19.5487	−	60.1648i	−0.639997	−	1.96971i
$934$	−7.14713	−	5.19270i	−0.233861	−	0.169910i
$935$	−0.856969	+	3.01202i	−0.0280259	+	0.0985035i
$936$	14.7732	−	10.7333i	0.482876	−	0.350830i
$937$	−7.05185	−	5.12347i	−0.230374	−	0.167376i	0.466610	−	0.884463i	$-0.345475\pi$
$937$	−7.05185	−	5.12347i	−0.230374	−	0.167376i	−0.696984	+	0.717087i	$0.745475\pi$
$938$	2.76220	+	2.00686i	0.0901891	+	0.0655262i
$939$	−62.0360	+	45.0718i	−2.02447	+	1.47086i
$940$	−2.35980	+	8.29406i	−0.0769681	+	0.270522i
$941$	−11.5436	−	8.38693i	−0.376311	−	0.273406i	0.383512	−	0.923536i	$-0.374714\pi$
$941$	−11.5436	−	8.38693i	−0.376311	−	0.273406i	−0.759823	+	0.650130i	$0.774714\pi$
$942$	−6.66408	−	20.5099i	−0.217127	−	0.668249i
$943$	−81.1426			−2.64237
$944$	−2.60976	−	8.03203i	−0.0849406	−	0.261420i
$945$	−7.69915	−	5.17009i	−0.250453	−	0.168183i
$946$	0.0687900	−	0.211714i	0.00223655	−	0.00688341i
$947$	3.10316	−	9.55055i	0.100839	−	0.310351i	−0.887892	−	0.460052i	$-0.847831\pi$
$947$	3.10316	−	9.55055i	0.100839	−	0.310351i	0.988731	+	0.149700i	$0.0478309\pi$
$948$	−20.1542	+	14.6429i	−0.654578	+	0.475579i
$949$	−37.1052			−1.20449
$950$	−34.2146	+	2.53425i	−1.11007	+	0.0822220i
$951$	−30.6905			−0.995207
$952$	0.416995	−	0.302965i	0.0135149	−	0.00981914i
$953$	13.5249	−	41.6252i	0.438113	−	1.34837i	−0.451749	−	0.892145i	$-0.649200\pi$
$953$	13.5249	−	41.6252i	0.438113	−	1.34837i	0.889863	−	0.456229i	$-0.150800\pi$
$954$	−18.4509	+	56.7861i	−0.597371	+	1.83852i
$955$	14.5179	−	51.0265i	0.469788	−	1.65118i
$956$	0.609260	+	1.87511i	0.0197049	+	0.0606454i
$957$	−15.0299			−0.485846
$958$	−7.26617	−	22.3630i	−0.234759	−	0.722515i
$959$	−3.79774	−	2.75922i	−0.122635	−	0.0890999i
$960$	−4.82199	+	3.78338i	−0.155629	+	0.122108i
$961$	25.0069	−	18.1686i	0.806674	−	0.586083i
$962$	6.13604	+	4.45810i	0.197834	+	0.143735i
$963$	−32.7062	−	23.7625i	−1.05394	−	0.765735i
$964$	−13.9222	+	10.1151i	−0.448405	+	0.325785i
$965$	−1.68246	−	4.59304i	−0.0541602	−	0.147855i
$966$	16.3289	+	11.8636i	0.525374	+	0.381706i
$967$	−2.41771	−	7.44094i	−0.0777482	−	0.239284i	0.904627	−	0.426204i	$-0.140150\pi$
$967$	−2.41771	−	7.44094i	−0.0777482	−	0.239284i	−0.982375	+	0.186920i	$0.940150\pi$
$968$	3.61748			0.116270
$969$	2.99567	+	9.21973i	0.0962349	+	0.296180i
$970$	−29.5368	+	23.1749i	−0.948371	+	0.744101i
$971$	6.01129	−	18.5008i	0.192911	−	0.593720i	−0.807083	−	0.590438i	$-0.798955\pi$
$971$	6.01129	−	18.5008i	0.192911	−	0.593720i	0.999995	−	0.00328264i	$-0.00104490\pi$
$972$	−5.68390	+	17.4933i	−0.182311	+	0.561096i
$973$	−1.50904	+	1.09638i	−0.0483776	+	0.0351484i
$974$	39.2679			1.25823
$975$	13.1933	−	53.8600i	0.422523	−	1.72490i
$976$	13.4496			0.430513
$977$	−39.0685	+	28.3849i	−1.24991	+	0.908114i	−0.998217	−	0.0596922i	$-0.980988\pi$
$977$	−39.0685	+	28.3849i	−1.24991	+	0.908114i	−0.251695	+	0.967807i	$0.580988\pi$
$978$	12.6372	−	38.8933i	0.404093	−	1.24367i
$979$	4.98877	−	15.3538i	0.159442	−	0.490711i
$980$	2.23454	−	0.0826423i	0.0713798	−	0.00263991i
$981$	5.97456	+	18.3878i	0.190753	+	0.587078i
$982$	−20.1162			−0.641933
$983$	11.8513	+	36.4745i	0.377998	+	1.16336i	0.941434	+	0.337197i	$0.109479\pi$
$983$	11.8513	+	36.4745i	0.377998	+	1.16336i	−0.563436	+	0.826159i	$0.690521\pi$
$984$	−24.4359	−	17.7537i	−0.778986	−	0.565967i
$985$	45.3843	−	1.67849i	1.44606	−	0.0534812i
$986$	0.841537	−	0.611413i	0.0268000	−	0.0194713i
$987$	8.55170	+	6.21317i	0.272204	+	0.197767i
$988$	−22.4609	−	16.3188i	−0.714575	−	0.519169i
$989$	−0.488076	+	0.354608i	−0.0155199	+	0.0112759i
$990$	−22.7635	−	15.2861i	−0.723473	−	0.485823i
$991$	−10.1083	−	7.34411i	−0.321101	−	0.233293i	0.415544	−	0.909573i	$-0.363591\pi$
$991$	−10.1083	−	7.34411i	−0.321101	−	0.233293i	−0.736645	+	0.676280i	$0.763591\pi$
$992$	0.0925822	+	0.284939i	0.00293949	+	0.00904682i
$993$	52.7034			1.67249
$994$	−0.335967	−	1.03400i	−0.0106562	−	0.0327965i
$995$	−13.5882	−	37.0952i	−0.430775	−	1.17600i
$996$	−8.14302	+	25.0617i	−0.258022	+	0.794109i
$997$	−2.84656	+	8.76080i	−0.0901513	+	0.277457i	−0.985960	−	0.166983i	$-0.946597\pi$
$997$	−2.84656	+	8.76080i	−0.0901513	+	0.277457i	0.895808	+	0.444440i	$0.146597\pi$
$998$	17.8451	−	12.9652i	0.564878	−	0.410408i
$999$	7.77449			0.245974

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	350.2.h.d.211.5	yes	20
25.4	even	10		8750.2.a.x.1.2		10
25.16	even	5	inner	350.2.h.d.141.5	✓	20
25.21	even	5		8750.2.a.w.1.9		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
350.2.h.d.141.5	✓	20	25.16	even	5	inner
350.2.h.d.211.5	yes	20	1.1	even	1	trivial
8750.2.a.w.1.9		10	25.21	even	5
8750.2.a.x.1.2		10	25.4	even	10

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:	\( N \)	\(=\)	\( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	350.h (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(0.847017 - 2.60685i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.769108 + 2.09964i) q^{5} +(-0.847017 - 2.60685i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-3.65118 - 2.65274i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(0.847017 - 2.60685i) q^{3} +(0.309017 - 0.951057i) q^{4} +(0.769108 + 2.09964i) q^{5} +(-0.847017 - 2.60685i) q^{6} +1.00000 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-3.65118 - 2.65274i) q^{9} +(1.85636 + 1.24657i) q^{10} +(2.19816 - 1.59706i) q^{11} +(-2.21752 - 1.61112i) q^{12} +(-3.27339 - 2.37826i) q^{13} +(0.809017 - 0.587785i) q^{14} +(6.12489 - 0.226523i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(0.159278 + 0.490207i) q^{17} -4.51311 q^{18} +(2.12037 + 6.52582i) q^{19} +(2.23454 - 0.0826423i) q^{20} +(0.847017 - 2.60685i) q^{21} +(0.839624 - 2.58410i) q^{22} +(-5.95726 + 4.32821i) q^{23} -2.74101 q^{24} +(-3.81694 + 3.22970i) q^{25} -4.04613 q^{26} +(-3.35536 + 2.43781i) q^{27} +(0.309017 - 0.951057i) q^{28} +(0.623627 - 1.91933i) q^{29} +(4.82199 - 3.78338i) q^{30} +(-0.0925822 - 0.284939i) q^{31} -1.00000 q^{32} +(-2.30141 - 7.08302i) q^{33} +(0.416995 + 0.302965i) q^{34} +(0.769108 + 2.09964i) q^{35} +(-3.65118 + 2.65274i) q^{36} +(-1.51652 - 1.10182i) q^{37} +(5.55120 + 4.03318i) q^{38} +(-8.97238 + 6.51881i) q^{39} +(1.75921 - 1.38029i) q^{40} +(8.91492 + 6.47707i) q^{41} +(-0.847017 - 2.60685i) q^{42} +0.0819295 q^{43} +(-0.839624 - 2.58410i) q^{44} +(2.76163 - 9.70641i) q^{45} +(-2.27547 + 7.00318i) q^{46} +(-1.19170 + 3.66768i) q^{47} +(-2.21752 + 1.61112i) q^{48} +1.00000 q^{49} +(-1.18961 + 4.85642i) q^{50} +1.41281 q^{51} +(-3.27339 + 2.37826i) q^{52} +(4.08829 - 12.5825i) q^{53} +(-1.28163 + 3.94446i) q^{54} +(5.04387 + 3.38703i) q^{55} +(-0.309017 - 0.951057i) q^{56} +18.8078 q^{57} +(-0.623627 - 1.91933i) q^{58} +(6.83245 + 4.96407i) q^{59} +(1.67726 - 5.89511i) q^{60} +(-10.8810 + 7.90550i) q^{61} +(-0.242383 - 0.176102i) q^{62} +(-3.65118 - 2.65274i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(2.47588 - 8.70206i) q^{65} +(-6.02518 - 4.37755i) q^{66} +(1.05507 + 3.24716i) q^{67} +0.515434 q^{68} +(6.23708 + 19.1958i) q^{69} +(1.85636 + 1.24657i) q^{70} +(0.335967 - 1.03400i) q^{71} +(-1.39463 + 4.29223i) q^{72} +(7.41912 - 5.39031i) q^{73} -1.87452 q^{74} +(5.18632 + 12.6858i) q^{75} +6.86166 q^{76} +(2.19816 - 1.59706i) q^{77} +(-3.42714 + 10.5477i) q^{78} +(2.80854 - 8.64380i) q^{79} +(0.611913 - 2.15071i) q^{80} +(-0.670923 - 2.06489i) q^{81} +11.0194 q^{82} +(-2.97082 - 9.14323i) q^{83} +(-2.21752 - 1.61112i) q^{84} +(-0.906754 + 0.711448i) q^{85} +(0.0662824 - 0.0481570i) q^{86} +(-4.47518 - 3.25141i) q^{87} +(-2.19816 - 1.59706i) q^{88} +(4.80691 - 3.49243i) q^{89} +(-3.47107 - 9.47589i) q^{90} +(-3.27339 - 2.37826i) q^{91} +(2.27547 + 7.00318i) q^{92} -0.821212 q^{93} +(1.19170 + 3.66768i) q^{94} +(-12.0711 + 9.47107i) q^{95} +(-0.847017 + 2.60685i) q^{96} +(-5.18836 + 15.9681i) q^{97} +(0.809017 - 0.587785i) q^{98} -12.2625 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9	\( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) 20 * q + 5 * q^2 + 3 * q^3 - 5 * q^4 - 5 * q^5 - 3 * q^6 + 20 * q^7 + 5 * q^8 - 6 * q^9 - 9 * q^11 - 2 * q^12 + 5 * q^13 + 5 * q^14 - 5 * q^16 - 12 * q^17 - 34 * q^18 + 2 * q^19 + 5 * q^20 + 3 * q^21 - 6 * q^22 - 5 * q^23 + 2 * q^24 - 35 * q^25 + 20 * q^26 - 6 * q^27 - 5 * q^28 - 22 * q^29 - 25 * q^30 - 7 * q^31 - 20 * q^32 + 25 * q^33 - 18 * q^34 - 5 * q^35 - 6 * q^36 - 3 * q^37 + 8 * q^38 - 22 * q^39 + 19 * q^41 - 3 * q^42 + 2 * q^43 + 6 * q^44 + 45 * q^45 - 10 * q^46 - 14 * q^47 - 2 * q^48 + 20 * q^49 + 10 * q^50 + 38 * q^51 + 5 * q^52 - q^53 - 19 * q^54 - 20 * q^55 + 5 * q^56 + 116 * q^57 + 22 * q^58 + 17 * q^59 - 5 * q^60 - 38 * q^61 + 7 * q^62 - 6 * q^63 - 5 * q^64 + 15 * q^65 - 16 * q^67 - 12 * q^68 + 35 * q^69 + q^71 + 11 * q^72 + 19 * q^73 + 18 * q^74 + 35 * q^75 + 12 * q^76 - 9 * q^77 - 18 * q^78 - 64 * q^79 - 40 * q^81 + 26 * q^82 + 57 * q^83 - 2 * q^84 - 40 * q^85 - 2 * q^86 - 78 * q^87 + 9 * q^88 - 6 * q^89 + 10 * q^90 + 5 * q^91 + 10 * q^92 - 22 * q^93 + 14 * q^94 + 60 * q^95 - 3 * q^96 - 18 * q^97 + 5 * q^98 + 112 * q^99

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