LMFDB - Embedded newform 525.2.n.b.211.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [525,2,Mod(106,525)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(525, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([0, 4, 0]))

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

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

chi := DirichletCharacter("525.106");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 525 = 3 \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	525.n (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:	$4.19214610612$
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} - 8 x^{19} + 31 x^{18} - 74 x^{17} + 109 x^{16} - 72 x^{15} - 51 x^{14} + 9 x^{13} + 866 x^{12} + \cdots + 3125 $ x^20 - 8x^19 + 31x^18 - 74x^17 + 109x^16 - 72x^15 - 51x^14 + 9x^13 + 866x^12 - 3240x^11 + 6385x^10 - 6775x^9 + 330x^8 + 11325x^7 - 18525x^6 + 12000x^5 + 5875x^4 - 21250x^3 + 22500x^2 - 12500*x + 3125
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 5^{2} $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label			211.5
Root			$1.35678 + 1.33311i$ of defining polynomial
Character	$\chi$	$=$	525.211
Dual form			525.2.n.b.316.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.98841 - 1.44466i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(1.24868 - 3.84305i) q^{4} +(-1.03265 - 1.98334i) q^{5} +(0.759505 + 2.33752i) q^{6} -1.00000 q^{7} +(-1.55002 - 4.77046i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(1.98841 - 1.44466i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(1.24868 - 3.84305i) q^{4} +(-1.03265 - 1.98334i) q^{5} +(0.759505 + 2.33752i) q^{6} -1.00000 q^{7} +(-1.55002 - 4.77046i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(-4.91858 - 2.45187i) q^{10} +(4.88287 - 3.54761i) q^{11} +(3.26910 + 2.37514i) q^{12} +(-1.76724 - 1.28398i) q^{13} +(-1.98841 + 1.44466i) q^{14} +(2.20537 - 0.369218i) q^{15} +(-3.43559 - 2.49610i) q^{16} +(1.15326 + 3.54938i) q^{17} -2.45781 q^{18} +(-1.28413 - 3.95214i) q^{19} +(-8.91153 + 1.49195i) q^{20} +(0.309017 - 0.951057i) q^{21} +(4.58403 - 14.1082i) q^{22} +(-4.91413 + 3.57032i) q^{23} +5.01596 q^{24} +(-2.86729 + 4.09618i) q^{25} -5.36892 q^{26} +(0.809017 - 0.587785i) q^{27} +(-1.24868 + 3.84305i) q^{28} +(1.87221 - 5.76208i) q^{29} +(3.85179 - 3.92018i) q^{30} +(0.336248 + 1.03487i) q^{31} -0.405462 q^{32} +(1.86509 + 5.74015i) q^{33} +(7.42082 + 5.39154i) q^{34} +(1.03265 + 1.98334i) q^{35} +(-3.26910 + 2.37514i) q^{36} +(3.65739 + 2.65725i) q^{37} +(-8.26288 - 6.00333i) q^{38} +(1.76724 - 1.28398i) q^{39} +(-7.86084 + 8.00041i) q^{40} +(8.93123 + 6.48892i) q^{41} +(-0.759505 - 2.33752i) q^{42} +12.2815 q^{43} +(-7.53650 - 23.1950i) q^{44} +(-0.330351 + 2.21153i) q^{45} +(-4.61338 + 14.1985i) q^{46} +(-2.93827 + 9.04307i) q^{47} +(3.43559 - 2.49610i) q^{48} +1.00000 q^{49} +(0.216259 + 12.2871i) q^{50} -3.73204 q^{51} +(-7.14112 + 5.18833i) q^{52} +(-0.558418 + 1.71863i) q^{53} +(0.759505 - 2.33752i) q^{54} +(-12.0784 - 6.02097i) q^{55} +(1.55002 + 4.77046i) q^{56} +4.15552 q^{57} +(-4.60154 - 14.1621i) q^{58} +(0.542354 + 0.394043i) q^{59} +(1.33489 - 8.93641i) q^{60} +(-2.77260 + 2.01441i) q^{61} +(2.16363 + 1.57197i) q^{62} +(0.809017 + 0.587785i) q^{63} +(6.06495 - 4.40644i) q^{64} +(-0.721630 + 4.83094i) q^{65} +(12.0012 + 8.71935i) q^{66} +(-2.22516 - 6.84834i) q^{67} +15.0805 q^{68} +(-1.87703 - 5.77691i) q^{69} +(4.91858 + 2.45187i) q^{70} +(-2.21143 + 6.80609i) q^{71} +(-1.55002 + 4.77046i) q^{72} +(-0.536664 + 0.389909i) q^{73} +11.1112 q^{74} +(-3.00966 - 3.99274i) q^{75} -16.7917 q^{76} +(-4.88287 + 3.54761i) q^{77} +(1.65909 - 5.10615i) q^{78} +(-3.51658 + 10.8229i) q^{79} +(-1.40288 + 9.39153i) q^{80} +(0.309017 + 0.951057i) q^{81} +27.1332 q^{82} +(0.115344 + 0.354992i) q^{83} +(-3.26910 - 2.37514i) q^{84} +(5.84872 - 5.95256i) q^{85} +(24.4206 - 17.7426i) q^{86} +(4.90152 + 3.56116i) q^{87} +(-24.4923 - 17.7947i) q^{88} +(-5.71276 + 4.15057i) q^{89} +(2.53805 + 4.87467i) q^{90} +(1.76724 + 1.28398i) q^{91} +(7.58475 + 23.3435i) q^{92} -1.08812 q^{93} +(7.22171 + 22.2261i) q^{94} +(-6.51239 + 6.62802i) q^{95} +(0.125295 - 0.385618i) q^{96} +(4.91745 - 15.1344i) q^{97} +(1.98841 - 1.44466i) q^{98} -6.03555 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) $ 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/525\mathbb{Z}\right)^\times$.

$n$	$127$	$176$	$451$
$\chi(n)$	$e\left(\frac{4}{5}\right)$	$1$	$1$

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 $

$2$	1.98841	−	1.44466i	1.40602	−	1.02153i	0.412131	−	0.911124i	$-0.364785\pi$
$2$	1.98841	−	1.44466i	1.40602	−	1.02153i	0.993886	−	0.110407i	$-0.0352155\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	1.24868	−	3.84305i	0.624342	−	1.92153i
$5$	−1.03265	−	1.98334i	−0.461813	−	0.886977i
$5$	−1.03265	−	1.98334i	−0.461813	−	0.886977i
$6$	0.759505	+	2.33752i	0.310067	+	0.954287i
$7$	−1.00000			−0.377964
$7$	−1.00000			−0.377964
$8$	−1.55002	−	4.77046i	−0.548014	−	1.68661i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	−4.91858	−	2.45187i	−1.55539	−	0.775349i
$11$	4.88287	−	3.54761i	1.47224	−	1.06964i	0.492282	−	0.870436i	$-0.336163\pi$
$11$	4.88287	−	3.54761i	1.47224	−	1.06964i	0.979957	−	0.199209i	$-0.0638372\pi$
$12$	3.26910	+	2.37514i	0.943707	+	0.685643i
$13$	−1.76724	−	1.28398i	−0.490145	−	0.356111i	0.315095	−	0.949060i	$-0.397964\pi$
$13$	−1.76724	−	1.28398i	−0.490145	−	0.356111i	−0.805240	+	0.592949i	$0.797964\pi$
$14$	−1.98841	+	1.44466i	−0.531425	+	0.386103i
$15$	2.20537	−	0.369218i	0.569425	−	0.0953317i
$16$	−3.43559	−	2.49610i	−0.858897	−	0.624025i
$17$	1.15326	+	3.54938i	0.279707	+	0.860851i	0.987935	+	0.154867i	$0.0494949\pi$
$17$	1.15326	+	3.54938i	0.279707	+	0.860851i	−0.708228	+	0.705984i	$0.750505\pi$
$18$	−2.45781			−0.579311
$19$	−1.28413	−	3.95214i	−0.294599	−	0.906682i	−0.983356	−	0.181690i	$-0.941843\pi$
$19$	−1.28413	−	3.95214i	−0.294599	−	0.906682i	0.688757	−	0.724992i	$-0.258157\pi$
$20$	−8.91153	+	1.49195i	−1.99268	+	0.333609i
$21$	0.309017	−	0.951057i	0.0674330	−	0.207538i
$22$	4.58403	−	14.1082i	0.977319	−	3.00788i
$23$	−4.91413	+	3.57032i	−1.02467	+	0.744464i	−0.967234	−	0.253885i	$-0.918291\pi$
$23$	−4.91413	+	3.57032i	−1.02467	+	0.744464i	−0.0574326	+	0.998349i	$0.518291\pi$
$24$	5.01596			1.02388
$25$	−2.86729	+	4.09618i	−0.573457	+	0.819235i
$26$	−5.36892			−1.05293
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	−1.24868	+	3.84305i	−0.235979	+	0.726269i
$29$	1.87221	−	5.76208i	0.347661	−	1.06999i	−0.612483	−	0.790484i	$-0.709829\pi$
$29$	1.87221	−	5.76208i	0.347661	−	1.06999i	0.960144	−	0.279507i	$-0.0901710\pi$
$30$	3.85179	−	3.92018i	0.703238	−	0.715724i
$31$	0.336248	+	1.03487i	0.0603920	+	0.185867i	0.976701	−	0.214604i	$-0.0688462\pi$
$31$	0.336248	+	1.03487i	0.0603920	+	0.185867i	−0.916309	+	0.400472i	$0.868846\pi$
$32$	−0.405462			−0.0716763
$33$	1.86509	+	5.74015i	0.324670	+	0.999232i
$34$	7.42082	+	5.39154i	1.27266	+	0.924642i
$35$	1.03265	+	1.98334i	0.174549	+	0.335246i
$36$	−3.26910	+	2.37514i	−0.544849	+	0.395856i
$37$	3.65739	+	2.65725i	0.601271	+	0.436849i	0.846330	−	0.532659i	$-0.178807\pi$
$37$	3.65739	+	2.65725i	0.601271	+	0.436849i	−0.245059	+	0.969508i	$0.578807\pi$
$38$	−8.26288	−	6.00333i	−1.34042	−	0.973869i
$39$	1.76724	−	1.28398i	0.282985	−	0.205601i
$40$	−7.86084	+	8.00041i	−1.24291	+	1.26498i
$41$	8.93123	+	6.48892i	1.39482	+	1.01340i	0.995317	+	0.0966679i	$0.0308185\pi$
$41$	8.93123	+	6.48892i	1.39482	+	1.01340i	0.399506	+	0.916730i	$0.369182\pi$
$42$	−0.759505	−	2.33752i	−0.117194	−	0.360686i
$43$	12.2815			1.87291			0.936455	−	0.350788i	$-0.114086\pi$
$43$	12.2815			1.87291			0.936455	+	0.350788i	$0.114086\pi$
$44$	−7.53650	−	23.1950i	−1.13617	−	3.49677i
$45$	−0.330351	+	2.21153i	−0.0492458	+	0.329676i
$46$	−4.61338	+	14.1985i	−0.680206	+	2.09346i
$47$	−2.93827	+	9.04307i	−0.428591	+	1.31907i	0.470922	+	0.882175i	$0.343921\pi$
$47$	−2.93827	+	9.04307i	−0.428591	+	1.31907i	−0.899513	+	0.436893i	$0.856079\pi$
$48$	3.43559	−	2.49610i	0.495884	−	0.360281i
$49$	1.00000			0.142857
$50$	0.216259	+	12.2871i	0.0305837	+	1.73766i
$51$	−3.73204			−0.522590
$52$	−7.14112	+	5.18833i	−0.990296	+	0.719492i
$53$	−0.558418	+	1.71863i	−0.0767046	+	0.236073i	−0.982056	−	0.188592i	$-0.939608\pi$
$53$	−0.558418	+	1.71863i	−0.0767046	+	0.236073i	0.905351	+	0.424664i	$0.139608\pi$
$54$	0.759505	−	2.33752i	0.103356	−	0.318096i
$55$	−12.0784	−	6.02097i	−1.62865	−	0.811867i
$56$	1.55002	+	4.77046i	0.207130	+	0.637480i
$57$	4.15552			0.550412
$58$	−4.60154	−	14.1621i	−0.604212	−	1.85957i
$59$	0.542354	+	0.394043i	0.0706085	+	0.0513001i	0.622530	−	0.782596i	$-0.286105\pi$
$59$	0.542354	+	0.394043i	0.0706085	+	0.0513001i	−0.551921	+	0.833896i	$0.686105\pi$
$60$	1.33489	−	8.93641i	0.172334	−	1.15369i
$61$	−2.77260	+	2.01441i	−0.354995	+	0.257919i	−0.750961	−	0.660346i	$-0.770410\pi$
$61$	−2.77260	+	2.01441i	−0.354995	+	0.257919i	0.395967	+	0.918265i	$0.370410\pi$
$62$	2.16363	+	1.57197i	0.274782	+	0.199641i
$63$	0.809017	+	0.587785i	0.101927	+	0.0740540i
$64$	6.06495	−	4.40644i	0.758119	−	0.550806i
$65$	−0.721630	+	4.83094i	−0.0895072	+	0.599204i
$66$	12.0012	+	8.71935i	1.47724	+	1.07328i
$67$	−2.22516	−	6.84834i	−0.271847	−	0.836658i	−0.990036	−	0.140811i	$-0.955029\pi$
$67$	−2.22516	−	6.84834i	−0.271847	−	0.836658i	0.718190	−	0.695847i	$-0.244971\pi$
$68$	15.0805			1.82878
$69$	−1.87703	−	5.77691i	−0.225968	−	0.695458i
$70$	4.91858	+	2.45187i	0.587883	+	0.293054i
$71$	−2.21143	+	6.80609i	−0.262449	+	0.807734i	0.729821	+	0.683638i	$0.239603\pi$
$71$	−2.21143	+	6.80609i	−0.262449	+	0.807734i	−0.992270	+	0.124096i	$0.960397\pi$
$72$	−1.55002	+	4.77046i	−0.182671	+	0.562204i
$73$	−0.536664	+	0.389909i	−0.0628118	+	0.0456355i	−0.618748	−	0.785589i	$-0.712360\pi$
$73$	−0.536664	+	0.389909i	−0.0628118	+	0.0456355i	0.555936	+	0.831225i	$0.312360\pi$
$74$	11.1112			1.29165
$75$	−3.00966	−	3.99274i	−0.347525	−	0.461042i
$76$	−16.7917			−1.92614
$77$	−4.88287	+	3.54761i	−0.556454	+	0.404288i
$78$	1.65909	−	5.10615i	0.187855	−	0.578157i
$79$	−3.51658	+	10.8229i	−0.395647	+	1.21767i	0.532810	+	0.846235i	$0.321136\pi$
$79$	−3.51658	+	10.8229i	−0.395647	+	1.21767i	−0.928457	+	0.371440i	$0.878864\pi$
$80$	−1.40288	+	9.39153i	−0.156846	+	1.05001i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	27.1332			2.99636
$83$	0.115344	+	0.354992i	0.0126606	+	0.0389654i	0.957187	−	0.289469i	$-0.0934789\pi$
$83$	0.115344	+	0.354992i	0.0126606	+	0.0389654i	−0.944527	+	0.328435i	$0.893479\pi$
$84$	−3.26910	−	2.37514i	−0.356688	−	0.259149i
$85$	5.84872	−	5.95256i	0.634383	−	0.645646i
$86$	24.4206	−	17.7426i	2.63334	−	1.91324i
$87$	4.90152	+	3.56116i	0.525498	+	0.381796i
$88$	−24.4923	−	17.7947i	−2.61088	−	1.89692i
$89$	−5.71276	+	4.15057i	−0.605552	+	0.439959i	−0.847845	−	0.530244i	$-0.822100\pi$
$89$	−5.71276	+	4.15057i	−0.605552	+	0.439959i	0.242293	+	0.970203i	$0.422100\pi$
$90$	2.53805	+	4.87467i	0.267533	+	0.513836i
$91$	1.76724	+	1.28398i	0.185257	+	0.134597i
$92$	7.58475	+	23.3435i	0.790765	+	2.43373i
$93$	−1.08812			−0.112833
$94$	7.22171	+	22.2261i	0.744863	+	2.29245i
$95$	−6.51239	+	6.62802i	−0.668157	+	0.680020i
$96$	0.125295	−	0.385618i	0.0127878	−	0.0393569i
$97$	4.91745	−	15.1344i	0.499292	−	1.53666i	−0.310868	−	0.950453i	$-0.600620\pi$
$97$	4.91745	−	15.1344i	0.499292	−	1.53666i	0.810160	−	0.586209i	$-0.199380\pi$
$98$	1.98841	−	1.44466i	0.200860	−	0.145933i
$99$	−6.03555			−0.606596
$100$	12.1615	+	16.1340i	1.21615	+	1.61340i
$101$	0.492018			0.0489576			0.0244788	−	0.999700i	$-0.492207\pi$
$101$	0.492018			0.0489576			0.0244788	+	0.999700i	$0.492207\pi$
$102$	−7.42082	+	5.39154i	−0.734771	+	0.533842i
$103$	2.43938	−	7.50764i	0.240359	−	0.739750i	−0.756006	−	0.654565i	$-0.772852\pi$
$103$	2.43938	−	7.50764i	0.240359	−	0.739750i	0.996365	−	0.0851852i	$-0.0271482\pi$
$104$	−3.38591	+	10.4208i	−0.332016	+	1.02184i
$105$	−2.20537	+	0.369218i	−0.215223	+	0.0360320i
$106$	1.37249	+	4.22407i	0.133308	+	0.410278i
$107$	−14.9083			−1.44124			−0.720619	−	0.693331i	$-0.756142\pi$
$107$	−14.9083			−1.44124			−0.720619	+	0.693331i	$0.756142\pi$
$108$	−1.24868	−	3.84305i	−0.120155	−	0.369798i
$109$	−8.32543	−	6.04878i	−0.797432	−	0.579368i	0.112728	−	0.993626i	$-0.464041\pi$
$109$	−8.32543	−	6.04878i	−0.797432	−	0.579368i	−0.910160	+	0.414258i	$0.864041\pi$
$110$	−32.7151	+	5.47707i	−3.11926	+	0.522218i
$111$	−3.65739	+	2.65725i	−0.347144	+	0.252215i
$112$	3.43559	+	2.49610i	0.324633	+	0.235859i
$113$	6.86252	+	4.98591i	0.645572	+	0.469035i	0.861760	−	0.507316i	$-0.169362\pi$
$113$	6.86252	+	4.98591i	0.645572	+	0.469035i	−0.216188	+	0.976352i	$0.569362\pi$
$114$	8.26288	−	6.00333i	0.773889	−	0.562264i
$115$	12.1557	+	6.05952i	1.13353	+	0.565053i
$116$	−19.8062	−	14.3900i	−1.83896	−	1.33608i
$117$	0.675027	+	2.07752i	0.0624063	+	0.192067i
$118$	1.64768			0.151681
$119$	−1.15326	−	3.54938i	−0.105719	−	0.325371i
$120$	−5.17971	−	9.94836i	−0.472840	−	0.908157i
$121$	7.85765	−	24.1834i	0.714332	−	2.19849i
$122$	−2.60291	+	8.01094i	−0.235657	+	0.725277i
$123$	−8.93123	+	6.48892i	−0.805302	+	0.585086i
$124$	4.39691			0.394854
$125$	11.0850	+	1.45691i	0.991473	+	0.130310i
$126$	2.45781			0.218959
$127$	−16.9115	+	12.2869i	−1.50066	+	1.09029i	−0.530536	+	0.847663i	$0.678009\pi$
$127$	−16.9115	+	12.2869i	−1.50066	+	1.09029i	−0.970120	+	0.242627i	$0.921991\pi$
$128$	5.94436	−	18.2949i	0.525412	−	1.61705i
$129$	−3.79519	+	11.6804i	−0.334148	+	1.02840i
$130$	5.54419	+	10.6484i	0.486258	+	0.933927i
$131$	−3.28500	−	10.1102i	−0.287012	−	0.883332i	−0.985788	−	0.167992i	$-0.946272\pi$
$131$	−3.28500	−	10.1102i	−0.287012	−	0.883332i	0.698776	−	0.715340i	$-0.253728\pi$
$132$	24.3886			2.12276
$133$	1.28413	+	3.95214i	0.111348	+	0.342694i
$134$	−14.3181	−	10.4027i	−1.23689	−	0.898656i
$135$	−2.00121	−	0.997583i	−0.172236	−	0.0858583i
$136$	15.1446	−	11.0032i	1.29864	−	0.943516i
$137$	3.41280	+	2.47954i	0.291575	+	0.211842i	0.723950	−	0.689852i	$-0.242324\pi$
$137$	3.41280	+	2.47954i	0.291575	+	0.211842i	−0.432375	+	0.901694i	$0.642324\pi$
$138$	−12.0780	−	8.77518i	−1.02815	−	0.746993i
$139$	−3.55356	+	2.58181i	−0.301409	+	0.218986i	−0.728201	−	0.685363i	$-0.759643\pi$
$139$	−3.55356	+	2.58181i	−0.301409	+	0.218986i	0.426792	+	0.904350i	$0.359643\pi$
$140$	8.91153	−	1.49195i	0.753162	−	0.126092i
$141$	−7.69250	−	5.58893i	−0.647825	−	0.470672i
$142$	5.43528	+	16.7281i	0.456118	+	1.40379i
$143$	−13.1843			−1.10252
$144$	1.31228	+	4.03878i	0.109356	+	0.336565i
$145$	−13.3615	+	2.23695i	−1.10961	+	0.185768i
$146$	−0.503820	+	1.55060i	−0.0416965	+	0.128329i
$147$	−0.309017	+	0.951057i	−0.0254873	+	0.0784418i
$148$	14.7789	−	10.7375i	1.21482	−	0.882616i
$149$	−10.0247			−0.821256			−0.410628	−	0.911803i	$-0.634690\pi$
$149$	−10.0247			−0.821256			−0.410628	+	0.911803i	$0.634690\pi$
$150$	−11.7526	−	3.59126i	−0.959595	−	0.293225i
$151$	8.20920			0.668055			0.334028	−	0.942563i	$-0.391592\pi$
$151$	8.20920			0.668055			0.334028	+	0.942563i	$0.391592\pi$
$152$	−16.8631	+	12.2518i	−1.36778	+	0.993748i
$153$	1.15326	−	3.54938i	0.0932358	−	0.286950i
$154$	−4.58403	+	14.1082i	−0.369392	+	1.13687i
$155$	1.70527	−	1.73554i	0.136970	−	0.139402i
$156$	−2.72767	−	8.39489i	−0.218388	−	0.672129i
$157$	15.6590			1.24973			0.624863	−	0.780734i	$-0.285155\pi$
$157$	15.6590			1.24973			0.624863	+	0.780734i	$0.285155\pi$
$158$	8.64309	+	26.6007i	0.687607	+	2.11624i
$159$	−1.46196	−	1.06217i	−0.115941	−	0.0842359i
$160$	0.418699	+	0.804170i	0.0331011	+	0.0635753i
$161$	4.91413	−	3.57032i	0.387288	−	0.281381i
$162$	1.98841	+	1.44466i	0.156224	+	0.113504i
$163$	0.701100	+	0.509379i	0.0549144	+	0.0398976i	0.614904	−	0.788602i	$-0.289195\pi$
$163$	0.701100	+	0.509379i	0.0549144	+	0.0398976i	−0.559989	+	0.828500i	$0.689195\pi$
$164$	36.0895	−	26.2206i	2.81812	−	2.04748i
$165$	9.45871	−	9.62665i	0.736359	−	0.749434i
$166$	0.742195	+	0.539236i	0.0576055	+	0.0418529i
$167$	0.783772	+	2.41220i	0.0606501	+	0.186662i	0.976791	−	0.214194i	$-0.0687126\pi$
$167$	0.783772	+	2.41220i	0.0606501	+	0.186662i	−0.916141	+	0.400856i	$0.868713\pi$
$168$	−5.01596			−0.386990
$169$	−2.54267	−	7.82553i	−0.195590	−	0.601964i
$170$	3.03019	−	20.2856i	0.232405	−	1.55583i
$171$	−1.28413	+	3.95214i	−0.0981996	+	0.302227i
$172$	15.3357	−	47.1984i	1.16934	−	3.59885i
$173$	11.7033	−	8.50295i	0.889786	−	0.646467i	−0.0460363	−	0.998940i	$-0.514659\pi$
$173$	11.7033	−	8.50295i	0.889786	−	0.646467i	0.935822	+	0.352472i	$0.114659\pi$
$174$	14.8909			1.12888
$175$	2.86729	−	4.09618i	0.216747	−	0.309642i
$176$	−25.6307			−1.93199
$177$	−0.542354	+	0.394043i	−0.0407658	+	0.0296181i
$178$	−5.36314	+	16.5060i	−0.401984	+	1.23718i
$179$	−2.95366	+	9.09044i	−0.220767	+	0.679451i	0.777927	+	0.628355i	$0.216272\pi$
$179$	−2.95366	+	9.09044i	−0.220767	+	0.679451i	−0.998694	+	0.0510962i	$0.983728\pi$
$180$	8.08653	+	4.03106i	0.602734	+	0.300457i
$181$	−3.60273	−	11.0881i	−0.267789	−	0.824170i	−0.991038	−	0.133582i	$-0.957352\pi$
$181$	−3.60273	−	11.0881i	−0.267789	−	0.824170i	0.723249	−	0.690588i	$-0.242648\pi$
$182$	5.36892			0.397971
$183$	−1.05904	−	3.25938i	−0.0782863	−	0.240941i
$184$	24.6491	+	17.9086i	1.81715	+	1.32024i
$185$	1.49345	−	9.99785i	0.109800	−	0.735057i
$186$	−2.16363	+	1.57197i	−0.158645	+	0.115263i
$187$	18.2230	+	13.2398i	1.33260	+	0.968191i
$188$	31.0840	+	22.5839i	2.26704	+	1.64710i
$189$	−0.809017	+	0.587785i	−0.0588473	+	0.0427551i
$190$	−3.37403	+	22.5874i	−0.244778	+	1.63866i
$191$	−13.5537	−	9.84733i	−0.980710	−	0.712528i	−0.0228431	−	0.999739i	$-0.507272\pi$
$191$	−13.5537	−	9.84733i	−0.980710	−	0.712528i	−0.957867	+	0.287211i	$0.907272\pi$
$192$	2.31660	+	7.12978i	0.167187	+	0.514547i
$193$	−0.887650			−0.0638944			−0.0319472	−	0.999490i	$-0.510171\pi$
$193$	−0.887650			−0.0638944			−0.0319472	+	0.999490i	$0.510171\pi$
$194$	−12.0862	−	37.1974i	−0.867736	−	2.67062i
$195$	−4.37150	−	2.17915i	−0.313050	−	0.156052i
$196$	1.24868	−	3.84305i	0.0891917	−	0.274504i
$197$	−0.954951	+	2.93904i	−0.0680375	+	0.209398i	−0.979295	−	0.202440i	$-0.935113\pi$
$197$	−0.954951	+	2.93904i	−0.0680375	+	0.209398i	0.911257	+	0.411838i	$0.135113\pi$
$198$	−12.0012	+	8.71935i	−0.852885	+	0.619657i
$199$	22.3308			1.58299			0.791494	−	0.611177i	$-0.209304\pi$
$199$	22.3308			1.58299			0.791494	+	0.611177i	$0.209304\pi$
$200$	23.9850	+	7.32914i	1.69600	+	0.518248i
$201$	7.20077			0.507903
$202$	0.978333	−	0.710801i	0.0688353	−	0.0500118i
$203$	−1.87221	+	5.76208i	−0.131404	+	0.404419i
$204$	−4.66013	+	14.3424i	−0.326275	+	1.00417i
$205$	3.64695	−	24.4144i	0.254714	−	1.70518i
$206$	−5.99553	−	18.4524i	−0.417729	−	1.28564i
$207$	6.07420			0.422186
$208$	2.86658	+	8.82244i	0.198762	+	0.611726i
$209$	−20.2909	−	14.7422i	−1.40355	−	1.01974i
$210$	−3.85179	+	3.92018i	−0.265799	+	0.270518i
$211$	9.48890	−	6.89409i	0.653243	−	0.474609i	−0.211132	−	0.977458i	$-0.567715\pi$
$211$	9.48890	−	6.89409i	0.653243	−	0.474609i	0.864374	+	0.502849i	$0.167715\pi$
$212$	5.90752	+	4.29206i	0.405730	+	0.294780i
$213$	−5.78961	−	4.20639i	−0.396697	−	0.288217i
$214$	−29.6438	+	21.5375i	−2.02641	+	1.47227i
$215$	−12.6824	−	24.3584i	−0.864934	−	1.66123i
$216$	−4.05800	−	2.94831i	−0.276112	−	0.200607i
$217$	−0.336248	−	1.03487i	−0.0228260	−	0.0702513i
$218$	−25.2928			−1.71305
$219$	−0.204988	−	0.630887i	−0.0138518	−	0.0426314i
$220$	−38.2210	+	38.8996i	−2.57686	+	2.62261i
$221$	2.51923	−	7.75338i	0.169461	−	0.521549i
$222$	−3.43356	+	10.5674i	−0.230445	+	0.709238i
$223$	−16.8657	+	12.2537i	−1.12941	+	0.820567i	−0.985609	−	0.169039i	$-0.945934\pi$
$223$	−16.8657	+	12.2537i	−1.12941	+	0.820567i	−0.143805	+	0.989606i	$0.545934\pi$
$224$	0.405462			0.0270911
$225$	4.72736	−	1.62853i	0.315157	−	0.108569i
$226$	20.8485			1.38682
$227$	−20.2061	+	14.6806i	−1.34112	+	0.974383i	−0.341722	+	0.939801i	$0.611010\pi$
$227$	−20.2061	+	14.6806i	−1.34112	+	0.974383i	−0.999402	+	0.0345823i	$0.988990\pi$
$228$	5.18893	−	15.9699i	0.343645	−	1.05763i
$229$	2.88870	−	8.89050i	0.190890	−	0.587501i	−0.809109	−	0.587658i	$-0.800050\pi$
$229$	2.88870	−	8.89050i	0.190890	−	0.587501i	1.00000		0.000157394i	$5.01001e-5\pi$
$230$	32.9245	−	5.51214i	2.17098	−	0.363460i
$231$	−1.86509	−	5.74015i	−0.122714	−	0.377674i
$232$	−30.3897			−1.99518
$233$	−0.106427	−	0.327549i	−0.00697227	−	0.0214584i	0.947510	−	0.319727i	$-0.103591\pi$
$233$	−0.106427	−	0.327549i	−0.00697227	−	0.0214584i	−0.954482	+	0.298268i	$0.903591\pi$
$234$	4.34355	+	3.15577i	0.283947	+	0.206299i
$235$	20.9697	−	3.51069i	1.36791	−	0.229012i
$236$	2.19156	−	1.59226i	0.142658	−	0.103647i
$237$	−9.20653	−	6.68894i	−0.598029	−	0.434493i
$238$	−7.42082	−	5.39154i	−0.481020	−	0.349482i
$239$	−15.1180	+	10.9839i	−0.977903	+	0.710488i	−0.957239	−	0.289298i	$-0.906578\pi$
$239$	−15.1180	+	10.9839i	−0.977903	+	0.710488i	−0.0206643	+	0.999786i	$0.506578\pi$
$240$	−8.49836	−	4.23636i	−0.548567	−	0.273456i
$241$	−9.97660	−	7.24842i	−0.642649	−	0.466912i	0.218110	−	0.975924i	$-0.430011\pi$
$241$	−9.97660	−	7.24842i	−0.642649	−	0.466912i	−0.860759	+	0.509012i	$0.830011\pi$
$242$	−19.3126	−	59.4381i	−1.24146	−	3.82083i
$243$	−1.00000			−0.0641500
$244$	4.27939	+	13.1706i	0.273960	+	0.843161i
$245$	−1.03265	−	1.98334i	−0.0659733	−	0.126711i
$246$	−8.38463	+	25.8052i	−0.534585	+	1.64528i
$247$	−2.80509	+	8.63318i	−0.178484	+	0.549316i
$248$	4.41560	−	3.20812i	0.280391	−	0.203716i
$249$	−0.373261			−0.0236544
$250$	24.1463	−	13.1172i	1.52714	−	0.829603i
$251$	−3.73473			−0.235734			−0.117867	−	0.993029i	$-0.537606\pi$
$251$	−3.73473			−0.235734			−0.117867	+	0.993029i	$0.537606\pi$
$252$	3.26910	−	2.37514i	0.205934	−	0.149620i
$253$	−11.3289	+	34.8668i	−0.712243	+	2.19206i
$254$	−15.8765	+	48.8629i	−0.996182	+	3.06593i
$255$	3.85387	+	7.40190i	0.241339	+	0.463525i
$256$	−9.97690	−	30.7057i	−0.623556	−	1.91911i
$257$	−2.34105			−0.146031			−0.0730154	−	0.997331i	$-0.523262\pi$
$257$	−2.34105			−0.146031			−0.0730154	+	0.997331i	$0.523262\pi$
$258$	9.32785	+	28.7082i	0.580727	+	1.78729i
$259$	−3.65739	−	2.65725i	−0.227259	−	0.165113i
$260$	17.6645	+	8.80558i	1.09550	+	0.546099i
$261$	−4.90152	+	3.56116i	−0.303396	+	0.220430i
$262$	−21.1378	−	15.3575i	−1.30590	−	0.948789i
$263$	16.4375	+	11.9426i	1.01358	+	0.736411i	0.964957	−	0.262406i	$-0.0845161\pi$
$263$	16.4375	+	11.9426i	1.01358	+	0.736411i	0.0486249	+	0.998817i	$0.484516\pi$
$264$	24.4923	−	17.7947i	1.50739	−	1.09519i
$265$	3.98529	−	0.667206i	0.244814	−	0.0409861i
$266$	8.26288	+	6.00333i	0.506630	+	0.368088i
$267$	−2.18208	−	6.71576i	−0.133541	−	0.410998i
$268$	−29.0971			−1.77739
$269$	3.63939	+	11.2009i	0.221897	+	0.682930i	0.998592	+	0.0530524i	$0.0168950\pi$
$269$	3.63939	+	11.2009i	0.221897	+	0.682930i	−0.776694	+	0.629878i	$0.783105\pi$
$270$	−5.42039	+	0.907467i	−0.329874	+	0.0552267i
$271$	−7.67666	+	23.6263i	−0.466324	+	1.43520i	0.390986	+	0.920397i	$0.372134\pi$
$271$	−7.67666	+	23.6263i	−0.466324	+	1.43520i	−0.857310	+	0.514801i	$0.827866\pi$
$272$	4.89747	−	15.0729i	0.296953	−	0.913927i
$273$	−1.76724	+	1.28398i	−0.106958	+	0.0777099i
$274$	10.3681			0.626362
$275$	0.531060	+	30.1731i	0.0320241	+	1.81951i
$276$	−24.5448			−1.47742
$277$	−12.3002	+	8.93665i	−0.739050	+	0.536951i	−0.892413	−	0.451219i	$-0.850989\pi$
$277$	−12.3002	+	8.93665i	−0.739050	+	0.536951i	0.153364	+	0.988170i	$0.450989\pi$
$278$	−3.33608	+	10.2674i	−0.200085	+	0.615798i
$279$	0.336248	−	1.03487i	0.0201307	−	0.0619558i
$280$	7.86084	−	8.00041i	0.469775	−	0.478116i
$281$	5.93861	+	18.2772i	0.354268	+	1.09032i	0.956433	+	0.291952i	$0.0943048\pi$
$281$	5.93861	+	18.2772i	0.354268	+	1.09032i	−0.602165	+	0.798371i	$0.705695\pi$
$282$	−23.3700			−1.39166
$283$	−4.91507	−	15.1270i	−0.292171	−	0.899209i	−0.984157	−	0.177298i	$-0.943264\pi$
$283$	−4.91507	−	15.1270i	−0.292171	−	0.899209i	0.691987	−	0.721910i	$-0.256736\pi$
$284$	23.3948	+	16.9973i	1.38823	+	1.00860i
$285$	−4.29118	−	8.24182i	−0.254188	−	0.488203i
$286$	−26.2157	+	19.0468i	−1.55017	+	1.12626i
$287$	−8.93123	−	6.48892i	−0.527194	−	0.383029i
$288$	0.328026	+	0.238325i	0.0193291	+	0.0140434i
$289$	2.48522	−	1.80561i	0.146189	−	0.106213i
$290$	−23.3365	+	23.7508i	−1.37037	+	1.39470i
$291$	12.8741	+	9.35356i	0.754691	+	0.548315i
$292$	0.828319	+	2.54930i	0.0484737	+	0.149187i
$293$	−21.3626			−1.24802			−0.624009	−	0.781417i	$-0.714497\pi$
$293$	−21.3626			−1.24802			−0.624009	+	0.781417i	$0.714497\pi$
$294$	0.759505	+	2.33752i	0.0442952	+	0.136327i
$295$	0.221463	−	1.48258i	0.0128941	−	0.0863192i
$296$	7.00729	−	21.5662i	0.407291	−	1.25351i
$297$	1.86509	−	5.74015i	0.108223	−	0.333077i
$298$	−19.9332	+	14.4823i	−1.15470	+	0.838939i
$299$	13.2687			0.767348
$300$	−19.1024	+	6.58060i	−1.10288	+	0.379931i
$301$	−12.2815			−0.707893
$302$	16.3232	−	11.8595i	0.939297	−	0.682439i
$303$	−0.152042	+	0.467937i	−0.00873458	+	0.0268823i
$304$	−5.45320	+	16.7832i	−0.312762	+	0.962584i
$305$	6.85837	+	3.41884i	0.392709	+	0.195762i
$306$	−2.83450	−	8.72370i	−0.162038	−	0.498700i
$307$	2.22647			0.127071			0.0635356	−	0.997980i	$-0.479762\pi$
$307$	2.22647			0.127071			0.0635356	+	0.997980i	$0.479762\pi$
$308$	7.53650	+	23.1950i	0.429432	+	1.32166i
$309$	6.38638	+	4.63998i	0.363309	+	0.263959i
$310$	0.883490	−	5.91451i	0.0501789	−	0.335922i
$311$	25.6040	−	18.6024i	1.45187	−	1.05485i	0.466481	−	0.884531i	$-0.345522\pi$
$311$	25.6040	−	18.6024i	1.45187	−	1.05485i	0.985390	−	0.170315i	$-0.0544785\pi$
$312$	−8.86442	−	6.44038i	−0.501849	−	0.364615i
$313$	−19.4780	−	14.1516i	−1.10096	−	0.799895i	−0.119744	−	0.992805i	$-0.538207\pi$
$313$	−19.4780	−	14.1516i	−1.10096	−	0.799895i	−0.981216	+	0.192910i	$0.938207\pi$
$314$	31.1365	−	22.6220i	1.75714	−	1.27663i
$315$	0.330351	−	2.21153i	0.0186132	−	0.124606i
$316$	37.2020	+	27.0288i	2.09278	+	1.52049i
$317$	4.00564	+	12.3281i	0.224979	+	0.692414i	0.998294	+	0.0583919i	$0.0185973\pi$
$317$	4.00564	+	12.3281i	0.224979	+	0.692414i	−0.773315	+	0.634022i	$0.781403\pi$
$318$	−4.44145			−0.249064
$319$	−11.2998	−	34.7773i	−0.632669	−	1.94716i
$320$	−15.0024	−	7.47857i	−0.838661	−	0.418065i
$321$	4.60692	−	14.1786i	0.257133	−	0.791374i
$322$	4.61338	−	14.1985i	0.257094	−	0.791253i
$323$	12.5467	−	9.11570i	0.698117	−	0.507211i
$324$	4.04083			0.224490
$325$	10.3266	−	3.55741i	0.572816	−	0.197330i
$326$	2.12996			0.117967
$327$	8.32543	−	6.04878i	0.460397	−	0.334498i
$328$	17.1116	−	52.6640i	0.944828	−	2.90788i
$329$	2.93827	−	9.04307i	0.161992	−	0.498561i
$330$	4.90051	−	32.8064i	0.269764	−	1.80593i
$331$	4.06865	+	12.5220i	0.223633	+	0.688272i	0.998427	+	0.0560585i	$0.0178533\pi$
$331$	4.06865	+	12.5220i	0.223633	+	0.688272i	−0.774794	+	0.632213i	$0.782147\pi$
$332$	1.50828			0.0827777
$333$	−1.39700	−	4.29952i	−0.0765551	−	0.235612i
$334$	5.04328	+	3.66416i	0.275956	+	0.200494i
$335$	−11.2848	+	11.4852i	−0.616555	+	0.627502i
$336$	−3.43559	+	2.49610i	−0.187427	+	0.136173i
$337$	15.7992	+	11.4788i	0.860640	+	0.625291i	0.928059	−	0.372434i	$-0.121477\pi$
$337$	15.7992	+	11.4788i	0.860640	+	0.625291i	−0.0674194	+	0.997725i	$0.521477\pi$
$338$	−16.3611	−	11.8871i	−0.889928	−	0.646571i
$339$	−6.86252	+	4.98591i	−0.372721	+	0.270798i
$340$	−15.5728	−	29.9098i	−0.844555	−	1.62209i
$341$	5.31316	+	3.86023i	0.287724	+	0.209043i
$342$	3.15614	+	9.71360i	0.170664	+	0.525251i
$343$	−1.00000			−0.0539949
$344$	−19.0365	−	58.5884i	−1.02638	−	3.15887i
$345$	−9.51927	+	9.68829i	−0.512500	+	0.521600i
$346$	10.9871	−	33.8147i	0.590668	−	1.81789i
$347$	−5.33031	+	16.4050i	−0.286146	+	0.880668i	0.699907	+	0.714234i	$0.253225\pi$
$347$	−5.33031	+	16.4050i	−0.286146	+	0.880668i	−0.986053	+	0.166433i	$0.946775\pi$
$348$	19.8062	−	14.3900i	1.06172	−	0.771386i
$349$	−15.6543			−0.837954			−0.418977	−	0.907997i	$-0.637611\pi$
$349$	−15.6543			−0.837954			−0.418977	+	0.907997i	$0.637611\pi$
$350$	−0.216259	−	12.2871i	−0.0115596	−	0.656775i
$351$	−2.18443			−0.116596
$352$	−1.97982	+	1.43842i	−0.105525	+	0.0766682i
$353$	−0.0351051	+	0.108042i	−0.00186846	+	0.00575052i	−0.951986	−	0.306140i	$-0.900962\pi$
$353$	−0.0351051	+	0.108042i	−0.00186846	+	0.00575052i	0.950118	+	0.311891i	$0.100962\pi$
$354$	−0.509162	+	1.56704i	−0.0270616	+	0.0832872i
$355$	15.7824	−	2.64225i	0.837644	−	0.140236i
$356$	8.81741	+	27.1372i	0.467322	+	1.43827i
$357$	3.73204			0.197520
$358$	7.25954	+	22.3426i	0.383679	+	1.18084i
$359$	14.2015	+	10.3180i	0.749526	+	0.544563i	0.895680	−	0.444699i	$-0.146689\pi$
$359$	14.2015	+	10.3180i	0.749526	+	0.544563i	−0.146154	+	0.989262i	$0.546689\pi$
$360$	11.0621	−	1.85198i	0.583022	−	0.0976080i
$361$	1.40093	−	1.01783i	0.0737330	−	0.0535702i
$362$	−23.1822	−	16.8429i	−1.21843	−	0.885242i
$363$	20.5716	+	14.9461i	1.07973	+	0.784469i
$364$	7.14112	−	5.18833i	0.374297	−	0.271942i
$365$	1.32751	+	0.661750i	0.0694849	+	0.0346376i
$366$	−6.81451	−	4.95103i	−0.356200	−	0.258795i
$367$	−6.15446	−	18.9415i	−0.321260	−	0.988737i	−0.973101	−	0.230381i	$-0.926003\pi$
$367$	−6.15446	−	18.9415i	−0.321260	−	0.988737i	0.651841	−	0.758356i	$-0.273997\pi$
$368$	25.7948			1.34465
$369$	−3.41142	−	10.4993i	−0.177592	−	0.546571i
$370$	−11.4740	−	22.0374i	−0.596502	−	1.14567i
$371$	0.558418	−	1.71863i	0.0289916	−	0.0892270i
$372$	−1.35872	+	4.18171i	−0.0704464	+	0.216812i
$373$	−7.62307	+	5.53848i	−0.394707	+	0.286772i	−0.767382	−	0.641190i	$-0.778441\pi$
$373$	−7.62307	+	5.53848i	−0.394707	+	0.286772i	0.372674	+	0.927962i	$0.378441\pi$
$374$	55.3619			2.86270
$375$	−4.81106	+	10.0923i	−0.248442	+	0.521162i
$376$	47.6940			2.45963
$377$	−10.7070	+	7.77911i	−0.551440	+	0.400645i
$378$	−0.759505	+	2.33752i	−0.0390647	+	0.120229i
$379$	−0.914768	+	2.81537i	−0.0469885	+	0.144616i	−0.971798	−	0.235815i	$-0.924224\pi$
$379$	−0.914768	+	2.81537i	−0.0469885	+	0.144616i	0.924810	+	0.380430i	$0.124224\pi$
$380$	17.3399	+	33.3037i	0.889519	+	1.70845i
$381$	−6.45963	−	19.8807i	−0.330937	−	1.01852i
$382$	−41.1764			−2.10677
$383$	2.61005	+	8.03290i	0.133367	+	0.410462i	0.995332	−	0.0965052i	$-0.0307664\pi$
$383$	2.61005	+	8.03290i	0.133367	+	0.410462i	−0.861965	+	0.506967i	$0.830766\pi$
$384$	15.5625	+	11.3068i	0.794173	+	0.577000i
$385$	12.0784	+	6.02097i	0.615572	+	0.306857i
$386$	−1.76501	+	1.28236i	−0.0898367	+	0.0652702i
$387$	−9.93594	−	7.21888i	−0.505072	−	0.366956i
$388$	−52.0218	−	37.7961i	−2.64101	−	1.91881i
$389$	−15.7027	+	11.4087i	−0.796159	+	0.578443i	−0.909785	−	0.415080i	$-0.863753\pi$
$389$	−15.7027	+	11.4087i	−0.796159	+	0.578443i	0.113626	+	0.993524i	$0.463753\pi$
$390$	−11.8405	+	1.98230i	−0.599566	+	0.100378i
$391$	−18.3397	−	13.3246i	−0.927479	−	0.673853i
$392$	−1.55002	−	4.77046i	−0.0782877	−	0.240945i
$393$	10.6305			0.536237
$394$	2.34709	+	7.22359i	0.118245	+	0.363919i
$395$	25.0970	−	4.20166i	1.26276	−	0.211409i
$396$	−7.53650	+	23.1950i	−0.378723	+	1.16559i
$397$	−0.189227	+	0.582380i	−0.00949701	+	0.0292288i	−0.955693	−	0.294366i	$-0.904891\pi$
$397$	−0.189227	+	0.582380i	−0.00949701	+	0.0292288i	0.946196	+	0.323595i	$0.104891\pi$
$398$	44.4028	−	32.2605i	2.22571	−	1.61707i
$399$	−4.15552			−0.208036
$400$	20.0753	−	6.91574i	1.00376	−	0.345787i
$401$	34.7620			1.73593			0.867965	−	0.496626i	$-0.165428\pi$
$401$	34.7620			1.73593			0.867965	+	0.496626i	$0.165428\pi$
$402$	14.3181	−	10.4027i	0.714121	−	0.518839i
$403$	0.734512	−	2.26060i	0.0365886	−	0.112608i
$404$	0.614375	−	1.89085i	0.0305663	−	0.0940734i
$405$	1.56716	−	1.59499i	0.0778730	−	0.0792557i
$406$	4.60154	+	14.1621i	0.228371	+	0.702853i
$407$	27.2854			1.35249
$408$	5.78472	+	17.8035i	0.286386	+	0.881407i
$409$	−6.44831	−	4.68497i	−0.318848	−	0.231657i	0.416836	−	0.908982i	$-0.363139\pi$
$409$	−6.44831	−	4.68497i	−0.318848	−	0.231657i	−0.735684	+	0.677325i	$0.763139\pi$
$410$	−28.0190	−	53.8145i	−1.38376	−	2.65771i
$411$	−3.41280	+	2.47954i	−0.168341	+	0.122307i
$412$	−25.8063	−	18.7493i	−1.27138	−	0.923714i
$413$	−0.542354	−	0.394043i	−0.0266875	−	0.0193896i
$414$	12.0780	−	8.77518i	0.593601	−	0.431276i
$415$	0.584961	−	0.595347i	0.0287146	−	0.0292245i
$416$	0.716551	+	0.520605i	0.0351318	+	0.0255247i
$417$	−1.35734	−	4.17746i	−0.0664692	−	0.204571i
$418$	−61.6440			−3.01511
$419$	7.92139	+	24.3795i	0.386985	+	1.19102i	0.935030	+	0.354569i	$0.115372\pi$
$419$	7.92139	+	24.3795i	0.386985	+	1.19102i	−0.548045	+	0.836449i	$0.684628\pi$
$420$	−1.33489	+	8.93641i	−0.0651360	+	0.436052i
$421$	−3.60614	+	11.0985i	−0.175752	+	0.540910i	−0.999667	−	0.0258039i	$-0.991785\pi$
$421$	−3.60614	+	11.0985i	−0.175752	+	0.540910i	0.823915	+	0.566714i	$0.191785\pi$
$422$	8.90817	−	27.4165i	0.433643	−	1.33462i
$423$	7.69250	−	5.58893i	0.374022	−	0.271743i
$424$	9.06423			0.440198
$425$	−17.8456	−	5.45312i	−0.865640	−	0.264515i
$426$	−17.5889			−0.852187
$427$	2.77260	−	2.01441i	0.134175	−	0.0974841i
$428$	−18.6157	+	57.2934i	−0.899826	+	2.76938i
$429$	4.07416	−	12.5390i	0.196702	−	0.605388i
$430$	−60.4075	−	30.1126i	−2.91311	−	1.45216i
$431$	−3.10388	−	9.55276i	−0.149509	−	0.460140i	0.848055	−	0.529909i	$-0.177774\pi$
$431$	−3.10388	−	9.55276i	−0.149509	−	0.460140i	−0.997563	+	0.0697686i	$0.977774\pi$
$432$	−4.24662			−0.204316
$433$	−1.18130	−	3.63567i	−0.0567697	−	0.174719i	0.918651	−	0.395070i	$-0.129280\pi$
$433$	−1.18130	−	3.63567i	−0.0567697	−	0.174719i	−0.975421	+	0.220351i	$0.929280\pi$
$434$	−2.16363	−	1.57197i	−0.103858	−	0.0754570i
$435$	2.00147	−	13.3988i	0.0959630	−	0.642423i
$436$	−33.6416	+	24.4421i	−1.61114	+	1.17056i
$437$	20.4208	+	14.8366i	0.976858	+	0.709729i
$438$	−1.31902	−	0.958323i	−0.0630251	−	0.0457904i
$439$	−2.69729	+	1.95970i	−0.128735	+	0.0935313i	−0.650289	−	0.759687i	$-0.725352\pi$
$439$	−2.69729	+	1.95970i	−0.128735	+	0.0935313i	0.521555	+	0.853218i	$0.325352\pi$
$440$	−10.0011	+	66.9521i	−0.476783	+	3.19182i
$441$	−0.809017	−	0.587785i	−0.0385246	−	0.0279898i
$442$	−6.19178	−	19.0563i	−0.294513	−	0.906417i
$443$	−9.46236			−0.449571			−0.224785	−	0.974408i	$-0.572168\pi$
$443$	−9.46236			−0.449571			−0.224785	+	0.974408i	$0.572168\pi$
$444$	5.64503	+	17.3736i	0.267901	+	0.824515i
$445$	14.1312	+	7.04430i	0.669885	+	0.333932i
$446$	−15.8336	+	48.7307i	−0.749741	+	2.30746i
$447$	3.09780	−	9.53406i	0.146521	−	0.450946i
$448$	−6.06495	+	4.40644i	−0.286542	+	0.208185i
$449$	33.9678			1.60304			0.801519	−	0.597970i	$-0.204026\pi$
$449$	33.9678			1.60304			0.801519	+	0.597970i	$0.204026\pi$
$450$	7.04724	−	10.0676i	0.332210	−	0.474592i
$451$	66.6301			3.13749
$452$	27.7303	−	20.1472i	1.30432	−	0.947645i
$453$	−2.53678	+	7.80741i	−0.119188	+	0.366824i
$454$	−18.9694	+	58.3819i	−0.890280	+	2.74000i
$455$	0.721630	−	4.83094i	0.0338305	−	0.226478i
$456$	−6.44113	−	19.8238i	−0.301633	−	0.928332i
$457$	−16.0078			−0.748811			−0.374406	−	0.927265i	$-0.622153\pi$
$457$	−16.0078			−0.748811			−0.374406	+	0.927265i	$0.622153\pi$
$458$	−7.09987	−	21.8511i	−0.331755	−	1.02104i
$459$	3.01928	+	2.19364i	0.140928	+	0.102390i
$460$	38.4657	−	39.1487i	1.79347	−	1.82532i
$461$	8.15005	−	5.92136i	0.379586	−	0.275785i	−0.381589	−	0.924332i	$-0.624623\pi$
$461$	8.15005	−	5.92136i	0.379586	−	0.275785i	0.761175	+	0.648547i	$0.224623\pi$
$462$	−12.0012	−	8.71935i	−0.558344	−	0.405661i
$463$	20.2069	+	14.6812i	0.939095	+	0.682293i	0.948203	−	0.317666i	$-0.102899\pi$
$463$	20.2069	+	14.6812i	0.939095	+	0.682293i	−0.00910755	+	0.999959i	$0.502899\pi$
$464$	−20.8149	+	15.1229i	−0.966306	+	0.702063i
$465$	1.12364	+	2.15812i	0.0521078	+	0.100080i
$466$	−0.684819	−	0.497550i	−0.0317236	−	0.0230486i
$467$	6.57759	+	20.2437i	0.304375	+	0.936769i	0.979910	+	0.199441i	$0.0639127\pi$
$467$	6.57759	+	20.2437i	0.304375	+	0.936769i	−0.675535	+	0.737328i	$0.736087\pi$
$468$	8.82691			0.408024
$469$	2.22516	+	6.84834i	0.102748	+	0.316227i
$470$	36.6246	−	37.2749i	1.68937	−	1.71936i
$471$	−4.83890	+	14.8926i	−0.222965	+	0.686215i
$472$	1.03911	−	3.19805i	0.0478289	−	0.147202i
$473$	59.9689	−	43.5699i	2.75737	−	2.00335i
$474$	−27.9696			−1.28469
$475$	19.8706	+	6.07190i	0.911726	+	0.278598i
$476$	−15.0805			−0.691214
$477$	1.46196	−	1.06217i	0.0669384	−	0.0486336i
$478$	−14.1928	+	43.6809i	−0.649163	+	1.99792i
$479$	−7.02053	+	21.6070i	−0.320776	+	0.987247i	0.652535	+	0.757758i	$0.273705\pi$
$479$	−7.02053	+	21.6070i	−0.320776	+	0.987247i	−0.973311	+	0.229489i	$0.926295\pi$
$480$	−0.894197	+	0.149704i	−0.0408143	+	0.00683302i
$481$	−3.05165	−	9.39202i	−0.139143	−	0.428239i
$482$	−30.3091			−1.38054
$483$	1.87703	+	5.77691i	0.0854079	+	0.262858i
$484$	−83.1263	−	60.3948i	−3.77847	−	2.74522i
$485$	−35.0946	+	5.87545i	−1.59356	+	0.266790i
$486$	−1.98841	+	1.44466i	−0.0901961	+	0.0655313i
$487$	−15.9256	−	11.5706i	−0.721657	−	0.524315i	0.165256	−	0.986251i	$-0.447155\pi$
$487$	−15.9256	−	11.5706i	−0.721657	−	0.524315i	−0.886913	+	0.461936i	$0.847155\pi$
$488$	13.9072	+	10.1042i	0.629551	+	0.457395i
$489$	−0.701100	+	0.509379i	−0.0317048	+	0.0230349i
$490$	−4.91858	−	2.45187i	−0.222199	−	0.110764i
$491$	−30.8452	−	22.4104i	−1.39202	−	1.01137i	−0.995640	−	0.0932810i	$-0.970264\pi$
$491$	−30.8452	−	22.4104i	−1.39202	−	1.01137i	−0.396385	−	0.918084i	$-0.629736\pi$
$492$	13.7850	+	42.4258i	0.621475	+	1.91270i
$493$	22.6109			1.01835
$494$	6.89437	+	21.2187i	0.310193	+	0.954674i
$495$	6.23259	+	11.9706i	0.280134	+	0.538037i
$496$	1.42792	−	4.39468i	0.0641155	−	0.197327i
$497$	2.21143	−	6.80609i	0.0991963	−	0.305295i
$498$	−0.742195	+	0.539236i	−0.0332586	+	0.0241638i
$499$	−38.3163			−1.71527			−0.857636	−	0.514258i	$-0.828067\pi$
$499$	−38.3163			−1.71527			−0.857636	+	0.514258i	$0.828067\pi$
$500$	19.4407	−	40.7811i	0.869413	−	1.82378i
$501$	−2.53634			−0.113315
$502$	−7.42617	+	5.39543i	−0.331446	+	0.240810i
$503$	0.271340	−	0.835097i	0.0120984	−	0.0372351i	−0.944825	−	0.327575i	$-0.893768\pi$
$503$	0.271340	−	0.835097i	0.0120984	−	0.0372351i	0.956923	+	0.290340i	$0.0937685\pi$
$504$	1.55002	−	4.77046i	0.0690432	−	0.212493i
$505$	−0.508080	−	0.975840i	−0.0226093	−	0.0434243i
$506$	27.8443	+	85.6960i	1.23783	+	3.80965i
$507$	8.22825			0.365430
$508$	26.1022	+	80.3344i	1.15810	+	3.56426i
$509$	14.8218	+	10.7686i	0.656963	+	0.477312i	0.865636	−	0.500674i	$-0.166914\pi$
$509$	14.8218	+	10.7686i	0.656963	+	0.477312i	−0.208673	+	0.977986i	$0.566914\pi$
$510$	18.3563	+	9.15047i	0.812832	+	0.405190i
$511$	0.536664	−	0.389909i	0.0237406	−	0.0172486i
$512$	−33.0725	−	24.0286i	−1.46161	−	1.06192i
$513$	−3.36189	−	2.44255i	−0.148431	−	0.107841i
$514$	−4.65497	+	3.38203i	−0.205322	+	0.149175i
$515$	−17.4092	+	2.91461i	−0.767143	+	0.128433i
$516$	40.1494	+	29.1702i	1.76748	+	1.28415i
$517$	17.7341	+	54.5799i	0.779945	+	2.40042i
$518$	−11.1112			−0.488199
$519$	4.47027	+	13.7581i	0.196223	+	0.603912i
$520$	24.1644	−	4.04553i	1.05968	−	0.177408i
$521$	11.4980	−	35.3873i	0.503739	−	1.55035i	−0.299142	−	0.954208i	$-0.596701\pi$
$521$	11.4980	−	35.3873i	0.503739	−	1.55035i	0.802881	−	0.596139i	$-0.203299\pi$
$522$	−4.60154	+	14.1621i	−0.201404	+	0.619858i
$523$	4.86934	−	3.53778i	0.212921	−	0.154696i	−0.476213	−	0.879330i	$-0.657991\pi$
$523$	4.86934	−	3.53778i	0.212921	−	0.154696i	0.689134	+	0.724633i	$0.257991\pi$
$524$	−42.9560			−1.87654
$525$	3.00966	+	3.99274i	0.131352	+	0.174257i
$526$	49.9376			2.17738
$527$	−3.28535	+	2.38695i	−0.143112	+	0.103977i
$528$	7.92032	−	24.3762i	0.344688	−	1.06084i
$529$	4.29407	−	13.2158i	0.186699	−	0.574599i
$530$	6.96049	−	7.08408i	0.302344	−	0.307713i
$531$	−0.207161	−	0.637576i	−0.00899002	−	0.0276684i
$532$	16.7917			0.728014
$533$	−7.45203	−	22.9350i	−0.322783	−	0.993425i
$534$	−14.0409	−	10.2013i	−0.607608	−	0.441453i
$535$	15.3950	+	29.5682i	0.665583	+	1.27835i
$536$	−29.2207	+	21.2301i	−1.26214	+	0.917000i
$537$	−7.73279	−	5.61820i	−0.333695	−	0.242443i
$538$	23.4181	+	17.0143i	1.00963	+	0.733537i
$539$	4.88287	−	3.54761i	0.210320	−	0.152806i
$540$	−6.33264	+	6.44508i	−0.272513	+	0.277352i
$541$	−19.4187	−	14.1085i	−0.834877	−	0.606573i	0.0860582	−	0.996290i	$-0.472573\pi$
$541$	−19.4187	−	14.1085i	−0.834877	−	0.606573i	−0.920935	+	0.389717i	$0.872573\pi$
$542$	18.8678	+	58.0690i	0.810440	+	2.49428i
$543$	11.6587			0.500322
$544$	−0.467605	−	1.43914i	−0.0200484	−	0.0617026i
$545$	−3.39958	+	22.7584i	−0.145622	+	0.974864i
$546$	−1.65909	+	5.10615i	−0.0710024	+	0.218523i
$547$	5.50851	−	16.9534i	0.235527	−	0.724877i	−0.761524	−	0.648136i	$-0.775549\pi$
$547$	5.50851	−	16.9534i	0.235527	−	0.724877i	0.997051	−	0.0767406i	$-0.0244513\pi$
$548$	13.7905	−	10.0194i	0.589102	−	0.428007i
$549$	3.42712			0.146266
$550$	44.6459	+	59.2293i	1.90371	+	2.52554i
$551$	−25.1767			−1.07256
$552$	−24.6491	+	17.9086i	−1.04913	+	0.762241i
$553$	3.51658	−	10.8229i	0.149540	−	0.460238i
$554$	−11.5475	+	35.5394i	−0.490605	+	1.50993i
$555$	9.04702	+	4.50986i	0.384025	+	0.191433i
$556$	5.48477	+	16.8804i	0.232606	+	0.715888i
$557$	36.1986			1.53378			0.766892	−	0.641777i	$-0.221802\pi$
$557$	36.1986			1.53378			0.766892	+	0.641777i	$0.221802\pi$
$558$	−0.826434	−	2.54350i	−0.0349858	−	0.107675i
$559$	−21.7044	−	15.7692i	−0.917998	−	0.666964i
$560$	1.40288	−	9.39153i	0.0592823	−	0.396865i
$561$	−18.2230	+	13.2398i	−0.769377	+	0.558985i
$562$	38.2127	+	27.7632i	1.61191	+	1.17112i
$563$	32.8130	+	23.8400i	1.38290	+	1.00474i	0.996602	+	0.0823628i	$0.0262466\pi$
$563$	32.8130	+	23.8400i	1.38290	+	1.00474i	0.386299	+	0.922374i	$0.373753\pi$
$564$	−31.0840	+	22.5839i	−1.30887	+	0.950953i
$565$	2.80222	−	18.7594i	0.117890	−	0.789214i
$566$	−31.6267	−	22.9781i	−1.32937	−	0.965842i
$567$	−0.309017	−	0.951057i	−0.0129775	−	0.0399406i
$568$	35.8959			1.50616
$569$	−7.79349	−	23.9859i	−0.326720	−	1.00554i	−0.970658	−	0.240463i	$-0.922701\pi$
$569$	−7.79349	−	23.9859i	−0.326720	−	1.00554i	0.643938	−	0.765077i	$-0.277299\pi$
$570$	−20.4393	−	10.1888i	−0.856107	−	0.426762i
$571$	−6.09733	+	18.7657i	−0.255165	+	0.785318i	0.738632	+	0.674109i	$0.235472\pi$
$571$	−6.09733	+	18.7657i	−0.255165	+	0.785318i	−0.993797	+	0.111209i	$0.964528\pi$
$572$	−16.4630	+	50.6678i	−0.688352	+	2.11853i
$573$	13.5537	−	9.84733i	0.566213	−	0.411378i
$574$	−27.1332			−1.13252
$575$	−0.534461	−	30.3663i	−0.0222886	−	1.26636i
$576$	−7.49669			−0.312362
$577$	−27.0462	+	19.6502i	−1.12595	+	0.818050i	−0.985100	−	0.171981i	$-0.944983\pi$
$577$	−27.0462	+	19.6502i	−1.12595	+	0.818050i	−0.140849	+	0.990031i	$0.544983\pi$
$578$	2.33312	−	7.18060i	0.0970450	−	0.298674i
$579$	0.274299	−	0.844205i	0.0113995	−	0.0350840i
$580$	−8.08758	+	54.1422i	−0.335819	+	2.24813i
$581$	−0.115344	−	0.354992i	−0.00478527	−	0.0147276i
$582$	39.1117			1.62123
$583$	3.37036	+	10.3729i	0.139586	+	0.429602i
$584$	2.69189	+	1.95577i	0.111391	+	0.0809303i
$585$	3.42337	−	3.48415i	0.141539	−	0.144052i
$586$	−42.4776	+	30.8618i	−1.75473	+	1.27489i
$587$	−25.6952	−	18.6686i	−1.06055	−	0.770537i	−0.0863626	−	0.996264i	$-0.527524\pi$
$587$	−25.6952	−	18.6686i	−1.06055	−	0.770537i	−0.974191	+	0.225727i	$0.927524\pi$
$588$	3.26910	+	2.37514i	0.134815	+	0.0979490i
$589$	3.65815	−	2.65780i	0.150731	−	0.109513i
$590$	−1.70147	−	3.26792i	−0.0700485	−	0.134538i
$591$	−2.50009	−	1.81643i	−0.102840	−	0.0747177i
$592$	−5.93252	−	18.2584i	−0.243825	−	0.750417i
$593$	−27.4002			−1.12519			−0.562595	−	0.826733i	$-0.690197\pi$
$593$	−27.4002			−1.12519			−0.562595	+	0.826733i	$0.690197\pi$
$594$	−4.58403	−	14.1082i	−0.188085	−	0.578866i
$595$	−5.84872	+	5.95256i	−0.239774	+	0.244031i
$596$	−12.5177	+	38.5255i	−0.512744	+	1.57806i
$597$	−6.90060	+	21.2379i	−0.282423	+	0.869207i
$598$	26.3836	−	19.1688i	1.07890	−	0.783870i
$599$	−31.7238			−1.29620			−0.648100	−	0.761555i	$-0.724436\pi$
$599$	−31.7238			−1.29620			−0.648100	+	0.761555i	$0.724436\pi$
$600$	−14.3822	+	20.5463i	−0.587151	+	0.838798i
$601$	1.48131			0.0604241			0.0302120	−	0.999544i	$-0.490382\pi$
$601$	1.48131			0.0604241			0.0302120	+	0.999544i	$0.490382\pi$
$602$	−24.4206	+	17.7426i	−0.995311	+	0.723136i
$603$	−2.22516	+	6.84834i	−0.0906156	+	0.278886i
$604$	10.2507	−	31.5484i	0.417095	−	1.28369i
$605$	−56.0781	+	9.38844i	−2.27990	+	0.381694i
$606$	0.373690	+	1.15010i	0.0151801	+	0.0467196i
$607$	25.4917			1.03468			0.517338	−	0.855781i	$-0.326923\pi$
$607$	25.4917			1.03468			0.517338	+	0.855781i	$0.326923\pi$
$608$	0.520665	+	1.60244i	0.0211158	+	0.0649876i
$609$	−4.90152	−	3.56116i	−0.198619	−	0.144305i
$610$	18.5763	−	3.11000i	0.752133	−	0.125920i
$611$	16.8037	−	12.2086i	0.679807	−	0.493909i
$612$	−12.2004	−	8.86410i	−0.493172	−	0.358310i
$613$	6.09358	+	4.42725i	0.246118	+	0.178815i	0.704004	−	0.710196i	$-0.251394\pi$
$613$	6.09358	+	4.42725i	0.246118	+	0.178815i	−0.457887	+	0.889010i	$0.651394\pi$
$614$	4.42713	−	3.21650i	0.178664	−	0.129807i
$615$	22.0925	+	11.0129i	0.890857	+	0.444084i
$616$	24.4923	+	17.7947i	0.986821	+	0.716967i
$617$	0.670120	+	2.06242i	0.0269780	+	0.0830298i	0.963639	−	0.267208i	$-0.0861009\pi$
$617$	0.670120	+	2.06242i	0.0269780	+	0.0830298i	−0.936661	+	0.350237i	$0.886101\pi$
$618$	19.4020			0.780461
$619$	−14.2328	−	43.8039i	−0.572063	−	1.76063i	−0.645970	−	0.763363i	$-0.723547\pi$
$619$	−14.2328	−	43.8039i	−0.572063	−	1.76063i	0.0739068	−	0.997265i	$-0.476453\pi$
$620$	−4.54045	−	8.72058i	−0.182349	−	0.350227i
$621$	−1.87703	+	5.77691i	−0.0753226	+	0.231819i
$622$	24.0370	−	73.9784i	0.963798	−	2.96626i
$623$	5.71276	−	4.15057i	0.228877	−	0.166289i
$624$	−9.27646			−0.371356
$625$	−8.55733	−	23.4898i	−0.342293	−	0.939593i
$626$	−59.1745			−2.36509
$627$	20.2909	−	14.7422i	0.810339	−	0.588745i
$628$	19.5532	−	60.1785i	0.780256	−	2.40138i
$629$	−5.21365	+	16.0460i	−0.207882	+	0.639795i
$630$	−2.53805	−	4.87467i	−0.101118	−	0.194212i
$631$	10.3157	+	31.7483i	0.410660	+	1.26388i	0.916076	+	0.401005i	$0.131339\pi$
$631$	10.3157	+	31.7483i	0.410660	+	1.26388i	−0.505416	+	0.862876i	$0.668661\pi$
$632$	57.0811			2.27057
$633$	3.62444	+	11.1549i	0.144058	+	0.443366i
$634$	25.7748	+	18.7265i	1.02365	+	0.743724i
$635$	41.8328	+	20.8533i	1.66008	+	0.827537i
$636$	−5.90752	+	4.29206i	−0.234248	+	0.170191i
$637$	−1.76724	−	1.28398i	−0.0700207	−	0.0508730i
$638$	−72.7103	−	52.8271i	−2.87863	−	2.09144i
$639$	5.78961	−	4.20639i	0.229033	−	0.166402i
$640$	−42.4234	+	7.10241i	−1.67693	+	0.280747i
$641$	−5.65352	−	4.10752i	−0.223301	−	0.162237i	0.470511	−	0.882394i	$-0.344070\pi$
$641$	−5.65352	−	4.10752i	−0.223301	−	0.162237i	−0.693811	+	0.720157i	$0.744070\pi$
$642$	−11.3229	−	34.8484i	−0.446880	−	1.37535i
$643$	−9.63180			−0.379841			−0.189921	−	0.981799i	$-0.560823\pi$
$643$	−9.63180			−0.379841			−0.189921	+	0.981799i	$0.560823\pi$
$644$	−7.58475	−	23.3435i	−0.298881	−	0.919862i
$645$	27.0853	−	4.53455i	1.06648	−	0.178548i
$646$	11.7788	−	36.2515i	0.463432	−	1.42630i
$647$	−11.3628	+	34.9713i	−0.446720	+	1.37486i	0.433867	+	0.900977i	$0.357149\pi$
$647$	−11.3628	+	34.9713i	−0.446720	+	1.37486i	−0.880587	+	0.473885i	$0.842851\pi$
$648$	4.05800	−	2.94831i	0.159413	−	0.115820i
$649$	4.04615			0.158825
$650$	15.3942	−	21.9920i	0.603811	−	0.862599i
$651$	1.08812			0.0426469
$652$	2.83302	−	2.05831i	0.110950	−	0.0806097i
$653$	10.2464	−	31.5352i	0.400973	−	1.23407i	−0.523238	−	0.852187i	$-0.675276\pi$
$653$	10.2464	−	31.5352i	0.400973	−	1.23407i	0.924211	−	0.381882i	$-0.124724\pi$
$654$	7.81591	−	24.0549i	0.305626	−	0.940621i
$655$	−16.6597	+	16.9555i	−0.650950	+	0.662508i
$656$	−14.4870	−	44.5865i	−0.565623	−	1.74081i
$657$	0.663354			0.0258799
$658$	−7.22171	−	22.2261i	−0.281532	−	0.866465i
$659$	−16.3911	−	11.9088i	−0.638505	−	0.463901i	0.220831	−	0.975312i	$-0.429123\pi$
$659$	−16.3911	−	11.9088i	−0.638505	−	0.463901i	−0.859336	+	0.511411i	$0.829123\pi$
$660$	−25.1848	−	48.3710i	−0.980317	−	1.88284i
$661$	24.2426	−	17.6133i	0.942928	−	0.685077i	−0.00619605	−	0.999981i	$-0.501972\pi$
$661$	24.2426	−	17.6133i	0.942928	−	0.685077i	0.949124	+	0.314904i	$0.101972\pi$
$662$	26.1802	+	19.0211i	1.01752	+	0.739274i
$663$	6.59542	+	4.79185i	0.256145	+	0.186100i
$664$	1.51469	−	1.10049i	0.0587814	−	0.0427072i
$665$	6.51239	−	6.62802i	0.252540	−	0.257023i
$666$	−8.98917	−	6.53101i	−0.348323	−	0.253072i
$667$	11.3722	+	35.0000i	0.440333	+	1.35521i
$668$	10.2489			0.396542
$669$	−6.44214	−	19.8269i	−0.249068	−	0.766551i
$670$	−5.84660	+	39.1400i	−0.225874	+	1.51211i
$671$	−6.39188	+	19.6722i	−0.246756	+	0.759436i
$672$	−0.125295	+	0.385618i	−0.00483335	+	0.0148755i
$673$	−1.28112	+	0.930786i	−0.0493834	+	0.0358792i	−0.612203	−	0.790701i	$-0.709717\pi$
$673$	−1.28112	+	0.930786i	−0.0493834	+	0.0358792i	0.562820	+	0.826580i	$0.309717\pi$
$674$	47.9984			1.84883
$675$	0.0879887	+	4.99923i	0.00338669	+	0.192420i
$676$	−33.2489			−1.27881
$677$	36.1997	−	26.3006i	1.39127	−	1.01082i	0.395544	−	0.918447i	$-0.370556\pi$
$677$	36.1997	−	26.3006i	1.39127	−	1.01082i	0.995725	−	0.0923686i	$-0.0294438\pi$
$678$	−6.44253	+	19.8281i	−0.247424	+	0.761493i
$679$	−4.91745	+	15.1344i	−0.188715	+	0.580804i
$680$	−37.4621	−	18.6745i	−1.43661	−	0.716135i
$681$	−7.71803	−	23.7537i	−0.295756	−	0.910242i
$682$	16.1415			0.618089
$683$	−6.38420	−	19.6485i	−0.244285	−	0.751831i	−0.995753	−	0.0920620i	$-0.970654\pi$
$683$	−6.38420	−	19.6485i	−0.244285	−	0.751831i	0.751469	−	0.659769i	$-0.229346\pi$
$684$	13.5848	+	9.86994i	0.519428	+	0.377386i
$685$	1.39357	−	9.32923i	0.0532455	−	0.356451i
$686$	−1.98841	+	1.44466i	−0.0759178	+	0.0551575i
$687$	7.56271	+	5.49463i	0.288535	+	0.209633i
$688$	−42.1941	−	30.6558i	−1.60864	−	1.16874i
$689$	3.19355	−	2.32025i	0.121665	−	0.0883944i
$690$	−4.93189	+	33.0164i	−0.187754	+	1.25691i
$691$	6.24570	+	4.53776i	0.237597	+	0.172625i	0.700212	−	0.713935i	$-0.253089\pi$
$691$	6.24570	+	4.53776i	0.237597	+	0.172625i	−0.462615	+	0.886559i	$0.653089\pi$
$692$	−18.0636	−	55.5939i	−0.686674	−	2.11336i
$693$	6.03555			0.229272
$694$	13.1009	+	40.3204i	0.497303	+	1.53054i
$695$	8.79018	+	4.38183i	0.333431	+	0.166212i
$696$	9.39094	−	28.9023i	0.355963	−	1.09554i
$697$	−12.7316	+	39.1837i	−0.482242	+	1.48419i
$698$	−31.1271	+	22.6152i	−1.17818	+	0.855997i
$699$	0.344405			0.0130266
$700$	−12.1615	−	16.1340i	−0.459661	−	0.609807i
$701$	18.3575			0.693352			0.346676	−	0.937985i	$-0.387310\pi$
$701$	18.3575			0.693352			0.346676	+	0.937985i	$0.387310\pi$
$702$	−4.34355	+	3.15577i	−0.163937	+	0.119107i
$703$	5.80526	−	17.8668i	0.218950	−	0.673857i
$704$	13.9820	−	43.0321i	0.526966	−	1.62184i
$705$	−3.14113	+	21.0282i	−0.118302	+	0.791969i
$706$	0.0862817	+	0.265548i	0.00324726	+	0.00999402i
$707$	−0.492018			−0.0185042
$708$	0.837101	+	2.57633i	0.0314602	+	0.0968245i
$709$	7.72827	+	5.61491i	0.290241	+	0.210873i	0.723372	−	0.690459i	$-0.242591\pi$
$709$	7.72827	+	5.61491i	0.290241	+	0.210873i	−0.433131	+	0.901331i	$0.642591\pi$
$710$	27.5648	−	28.0542i	1.03449	−	1.05285i
$711$	9.20653	−	6.68894i	0.345272	−	0.250855i
$712$	28.6550	+	20.8191i	1.07389	+	0.780228i
$713$	−5.34718	−	3.88495i	−0.200253	−	0.145493i
$714$	7.42082	−	5.39154i	0.277717	−	0.201773i
$715$	13.6147	+	26.1489i	0.509160	+	0.977913i
$716$	31.2469	+	22.7022i	1.16775	+	0.848420i
$717$	−5.77457	−	17.7723i	−0.215655	−	0.663719i
$718$	43.1444			1.61013
$719$	1.24730	+	3.83880i	0.0465165	+	0.143163i	0.971617	−	0.236559i	$-0.0760196\pi$
$719$	1.24730	+	3.83880i	0.0465165	+	0.143163i	−0.925101	+	0.379722i	$0.876020\pi$
$720$	6.65515	−	6.77332i	0.248023	−	0.252427i
$721$	−2.43938	+	7.50764i	−0.0908473	+	0.279599i
$722$	1.31519	−	4.04774i	0.0489463	−	0.150641i
$723$	9.97660	−	7.24842i	0.371034	−	0.269572i
$724$	−47.1107			−1.75086
$725$	18.2343	+	24.1904i	0.677206	+	0.898410i
$726$	62.4969			2.31948
$727$	4.47791	−	3.25339i	0.166076	−	0.120661i	−0.501643	−	0.865075i	$-0.667271\pi$
$727$	4.47791	−	3.25339i	0.166076	−	0.120661i	0.667719	+	0.744413i	$0.267271\pi$
$728$	3.38591	−	10.4208i	0.125490	−	0.386219i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	3.59564	−	0.601972i	0.133080	−	0.0222800i
$731$	14.1638	+	43.5917i	0.523867	+	1.61230i
$732$	−13.8484			−0.511851
$733$	−10.4705	−	32.2250i	−0.386738	−	1.19026i	−0.935212	−	0.354089i	$-0.884791\pi$
$733$	−10.4705	−	32.2250i	−0.386738	−	1.19026i	0.548474	−	0.836168i	$-0.315209\pi$
$734$	−39.6016	−	28.7723i	−1.46172	−	1.06200i
$735$	2.20537	−	0.369218i	0.0813465	−	0.0136188i
$736$	1.99250	−	1.44763i	0.0734443	−	0.0533604i
$737$	−35.1604	−	25.5455i	−1.29515	−	0.940982i
$738$	−21.9512	−	15.9485i	−0.808037	−	0.587073i
$739$	−2.66158	+	1.93375i	−0.0979079	+	0.0711342i	−0.635662	−	0.771967i	$-0.719273\pi$
$739$	−2.66158	+	1.93375i	−0.0979079	+	0.0711342i	0.537754	+	0.843102i	$0.319273\pi$
$740$	−36.5574	−	18.2235i	−1.34388	−	0.669911i
$741$	−7.34382	−	5.33560i	−0.269782	−	0.196008i
$742$	−1.37249	−	4.22407i	−0.0503855	−	0.155071i
$743$	24.2141			0.888330			0.444165	−	0.895945i	$-0.353500\pi$
$743$	24.2141			0.888330			0.444165	+	0.895945i	$0.353500\pi$
$744$	1.68661	+	5.19085i	0.0618341	+	0.190306i
$745$	10.3520	+	19.8824i	0.379267	+	0.728435i
$746$	−7.15653	+	22.0255i	−0.262019	+	0.806412i
$747$	0.115344	−	0.354992i	0.00422021	−	0.0129885i
$748$	73.6361	−	53.4998i	2.69240	−	1.95615i
$749$	14.9083			0.544737
$750$	5.01357	+	27.0179i	0.183070	+	0.986555i
$751$	−31.5730			−1.15212			−0.576058	−	0.817409i	$-0.695410\pi$
$751$	−31.5730			−1.15212			−0.576058	+	0.817409i	$0.695410\pi$
$752$	32.6671	−	23.7340i	1.19125	−	0.865492i
$753$	1.15410	−	3.55194i	0.0420576	−	0.129440i
$754$	−10.0518	+	30.9361i	−0.366063	+	1.12663i
$755$	−8.47719	−	16.2816i	−0.308517	−	0.592550i
$756$	1.24868	+	3.84305i	0.0454142	+	0.139771i
$757$	−21.4186			−0.778472			−0.389236	−	0.921138i	$-0.627261\pi$
$757$	−21.4186			−0.778472			−0.389236	+	0.921138i	$0.627261\pi$
$758$	2.24833	+	6.91964i	0.0816629	+	0.251332i
$759$	−29.6595	−	21.5489i	−1.07657	−	0.782175i
$760$	41.7130	+	20.7936i	1.51309	+	0.754261i
$761$	38.6311	−	28.0671i	1.40037	−	1.01743i	0.405739	−	0.913989i	$-0.367014\pi$
$761$	38.6311	−	28.0671i	1.40037	−	1.01743i	0.994635	−	0.103443i	$-0.0329859\pi$
$762$	−41.5653	−	30.1990i	−1.50575	−	1.09399i
$763$	8.32543	+	6.04878i	0.301401	+	0.218981i
$764$	−54.7681	+	39.7913i	−1.98144	+	1.43960i
$765$	−8.23054	+	1.37794i	−0.297576	+	0.0498194i
$766$	16.7947	+	12.2021i	0.606817	+	0.440878i
$767$	−0.452529	−	1.39274i	−0.0163399	−	0.0502890i
$768$	32.2859			1.16502
$769$	5.19391	+	15.9852i	0.187297	+	0.576442i	0.999980	−	0.00626420i	$-0.00199397\pi$
$769$	5.19391	+	15.9852i	0.187297	+	0.576442i	−0.812683	+	0.582706i	$0.801994\pi$
$770$	32.7151	−	5.47707i	1.17897	−	0.197380i
$771$	0.723425	−	2.22647i	0.0260535	−	0.0801845i
$772$	−1.10839	+	3.41129i	−0.0398920	+	0.122775i
$773$	−25.8323	+	18.7683i	−0.929125	+	0.675049i	−0.945778	−	0.324812i	$-0.894699\pi$
$773$	−25.8323	+	18.7683i	−0.929125	+	0.675049i	0.0166534	+	0.999861i	$0.494699\pi$
$774$	−30.1856			−1.08500
$775$	−5.20311	−	1.58992i	−0.186901	−	0.0571118i
$776$	−79.8201			−2.86537
$777$	3.65739	−	2.65725i	0.131208	−	0.0953283i
$778$	−14.7417	+	45.3703i	−0.528515	+	1.62660i
$779$	14.1762	−	43.6300i	0.507917	−	1.56321i
$780$	−13.8332	+	14.0788i	−0.495309	+	0.504103i
$781$	13.3472	+	41.0785i	0.477601	+	1.46990i
$782$	−55.7164			−1.99241
$783$	−1.87221	−	5.76208i	−0.0669074	−	0.205920i
$784$	−3.43559	−	2.49610i	−0.122700	−	0.0891465i
$785$	−16.1702	−	31.0572i	−0.577140	−	1.10848i
$786$	21.1378	−	15.3575i	0.753959	−	0.547784i
$787$	−40.2550	−	29.2469i	−1.43493	−	1.04254i	−0.989071	−	0.147439i	$-0.952897\pi$
$787$	−40.2550	−	29.2469i	−1.43493	−	1.04254i	−0.445863	−	0.895101i	$-0.647103\pi$
$788$	10.1024	+	7.33986i	0.359885	+	0.261472i
$789$	−16.4375	+	11.9426i	−0.585192	+	0.425167i
$790$	43.8330	−	44.6113i	1.55951	−	1.58720i
$791$	−6.86252	−	4.98591i	−0.244003	−	0.177279i
$792$	9.35521	+	28.7924i	0.332423	+	1.02309i
$793$	7.48631			0.265847
$794$	0.465083	+	1.43138i	0.0165052	+	0.0507977i
$795$	−0.596971	+	3.99641i	−0.0211724	+	0.141738i
$796$	27.8841	−	85.8185i	0.988326	−	3.04175i
$797$	2.84268	−	8.74886i	0.100693	−	0.309901i	−0.888003	−	0.459838i	$-0.847907\pi$
$797$	2.84268	−	8.74886i	0.100693	−	0.309901i	0.988695	+	0.149938i	$0.0479073\pi$
$798$	−8.26288	+	6.00333i	−0.292503	+	0.212516i
$799$	−35.4859			−1.25540
$800$	1.16258	−	1.66085i	0.0411033	−	0.0587198i
$801$	7.06136			0.249501
$802$	69.1210	−	50.2194i	2.44075	−	1.77331i
$803$	−1.23721	+	3.80775i	−0.0436603	+	0.134373i
$804$	8.99149	−	27.6730i	0.317105	−	0.975950i
$805$	−12.1557	−	6.05952i	−0.428433	−	0.213570i
$806$	−1.80529	−	5.55611i	−0.0635886	−	0.195706i
$807$	−11.7773			−0.414581
$808$	−0.762636	−	2.34715i	−0.0268295	−	0.0825726i
$809$	27.2859	+	19.8244i	0.959322	+	0.696988i	0.952993	−	0.302992i	$-0.0979855\pi$
$809$	27.2859	+	19.8244i	0.959322	+	0.696988i	0.00632856	+	0.999980i	$0.497986\pi$
$810$	0.811940	−	5.43552i	0.0285287	−	0.190985i
$811$	−28.6090	+	20.7856i	−1.00460	+	0.729882i	−0.963069	−	0.269255i	$-0.913222\pi$
$811$	−28.6090	+	20.7856i	−1.00460	+	0.729882i	−0.0415275	+	0.999137i	$0.513222\pi$
$812$	19.8062	+	14.3900i	0.695060	+	0.504991i
$813$	−20.0978	−	14.6019i	−0.704859	−	0.512110i
$814$	54.2546	−	39.4183i	1.90162	−	1.38161i
$815$	0.286285	−	1.91653i	0.0100281	−	0.0671331i
$816$	12.8217	+	9.31554i	0.448851	+	0.326109i
$817$	−15.7710	−	48.5381i	−0.551757	−	1.69813i
$818$	−19.5901			−0.684951
$819$	−0.675027	−	2.07752i	−0.0235874	−	0.0725944i
$820$	−89.2720	−	44.5013i	−3.11751	−	1.55405i
$821$	−0.756764	+	2.32908i	−0.0264112	+	0.0812855i	−0.963393	−	0.268092i	$-0.913607\pi$
$821$	−0.756764	+	2.32908i	−0.0264112	+	0.0812855i	0.936982	+	0.349377i	$0.113607\pi$
$822$	−3.20393	+	9.86069i	−0.111750	+	0.343931i
$823$	−21.1922	+	15.3970i	−0.738714	+	0.536707i	−0.892308	−	0.451427i	$-0.850915\pi$
$823$	−21.1922	+	15.3970i	−0.738714	+	0.536707i	0.153594	+	0.988134i	$0.450915\pi$
$824$	−39.5960			−1.37939
$825$	−28.8604	−	8.81893i	−1.00479	−	0.307036i
$826$	−1.64768			−0.0573302
$827$	18.8618	−	13.7039i	0.655891	−	0.476532i	−0.209382	−	0.977834i	$-0.567145\pi$
$827$	18.8618	−	13.7039i	0.655891	−	0.476532i	0.865273	+	0.501301i	$0.167145\pi$
$828$	7.58475	−	23.3435i	0.263588	−	0.811242i
$829$	−4.48970	+	13.8179i	−0.155934	+	0.479914i	−0.998254	−	0.0590624i	$-0.981189\pi$
$829$	−4.48970	+	13.8179i	−0.155934	+	0.479914i	0.842321	+	0.538977i	$0.181189\pi$
$830$	0.303065	−	2.02887i	0.0105196	−	0.0704230i
$831$	−4.69827	−	14.4598i	−0.162981	−	0.501605i
$832$	−16.3760			−0.567736
$833$	1.15326	+	3.54938i	0.0399582	+	0.122979i
$834$	−8.73397	−	6.34560i	−0.302433	−	0.219730i
$835$	3.97486	−	4.04544i	0.137556	−	0.139998i
$836$	−81.9918	+	59.5705i	−2.83575	+	2.06029i
$837$	0.880310	+	0.639582i	0.0304280	+	0.0221072i
$838$	50.9712	+	37.0327i	1.76077	+	1.27927i
$839$	17.0215	−	12.3668i	0.587647	−	0.426951i	−0.253826	−	0.967250i	$-0.581689\pi$
$839$	17.0215	−	12.3668i	0.587647	−	0.426951i	0.841473	+	0.540299i	$0.181689\pi$
$840$	5.17971	+	9.94836i	0.178717	+	0.343251i
$841$	−6.23486	−	4.52989i	−0.214995	−	0.156203i
$842$	8.86319	+	27.2781i	0.305446	+	0.940065i
$843$	−19.2177			−0.661894
$844$	−14.6457	−	45.0749i	−0.504126	−	1.55154i
$845$	−12.8950	+	13.1240i	−0.443602	+	0.451479i
$846$	7.22171	−	22.2261i	0.248288	−	0.764151i
$847$	−7.85765	+	24.1834i	−0.269992	+	0.830951i
$848$	6.20838	−	4.51065i	0.213197	−	0.154896i
$849$	15.9055			0.545875
$850$	−43.3623	+	14.9379i	−1.48732	+	0.512366i
$851$	−27.4601			−0.941321
$852$	−23.3948	+	16.9973i	−0.801492	+	0.582318i
$853$	8.76994	−	26.9911i	0.300277	−	0.924157i	−0.681121	−	0.732171i	$-0.738507\pi$
$853$	8.76994	−	26.9911i	0.300277	−	0.924157i	0.981398	−	0.191986i	$-0.0614929\pi$
$854$	2.60291	−	8.01094i	0.0890698	−	0.274129i
$855$	9.16448	−	1.53429i	0.313419	−	0.0524717i
$856$	23.1081	+	71.1194i	0.789819	+	2.43081i
$857$	26.0232			0.888936			0.444468	−	0.895795i	$-0.353393\pi$
$857$	26.0232			0.888936			0.444468	+	0.895795i	$0.353393\pi$
$858$	−10.0135	−	30.8184i	−0.341856	−	1.05212i
$859$	44.3435	+	32.2174i	1.51298	+	1.09925i	0.964833	+	0.262864i	$0.0846670\pi$
$859$	44.3435	+	32.2174i	1.51298	+	1.09925i	0.548148	+	0.836381i	$0.315333\pi$
$860$	−109.447	+	18.3233i	−3.73211	+	0.624820i
$861$	8.93123	−	6.48892i	0.304375	−	0.221142i
$862$	−19.9723	−	14.5107i	−0.680260	−	0.494238i
$863$	−33.2640	−	24.1677i	−1.13232	−	0.822678i	−0.146288	−	0.989242i	$-0.546733\pi$
$863$	−33.2640	−	24.1677i	−1.13232	−	0.822678i	−0.986031	+	0.166564i	$0.946733\pi$
$864$	−0.328026	+	0.238325i	−0.0111597	+	0.00810798i
$865$	−28.9496	−	14.4311i	−0.984317	−	0.490673i
$866$	−7.60123	−	5.52262i	−0.258300	−	0.187666i
$867$	0.949268	+	2.92155i	0.0322388	+	0.0992209i
$868$	−4.39691			−0.149241
$869$	21.2245	+	65.3224i	0.719993	+	2.21591i
$870$	−15.3770	−	29.5337i	−0.521330	−	1.00129i
$871$	−4.86072	+	14.9597i	−0.164699	+	0.506892i
$872$	−15.9509	+	49.0919i	−0.540166	+	1.66246i
$873$	−12.8741	+	9.35356i	−0.435721	+	0.316570i
$874$	62.0387			2.09849
$875$	−11.0850	−	1.45691i	−0.374742	−	0.0492526i
$876$	−2.68050			−0.0905656
$877$	5.85351	−	4.25282i	0.197659	−	0.143608i	−0.484554	−	0.874762i	$-0.661018\pi$
$877$	5.85351	−	4.25282i	0.197659	−	0.143608i	0.682212	+	0.731154i	$0.261018\pi$
$878$	−2.53222	+	7.79336i	−0.0854582	+	0.263013i
$879$	6.60141	−	20.3171i	0.222660	−	0.685277i
$880$	26.4674	+	50.8344i	0.892217	+	1.71363i
$881$	1.02673	+	3.15995i	0.0345914	+	0.106461i	0.966861	−	0.255302i	$-0.0821749\pi$
$881$	1.02673	+	3.15995i	0.0345914	+	0.106461i	−0.932270	+	0.361763i	$0.882175\pi$
$882$	−2.45781			−0.0827587
$883$	−1.10256	−	3.39334i	−0.0371042	−	0.114195i	0.930789	−	0.365557i	$-0.119122\pi$
$883$	−1.10256	−	3.39334i	−0.0371042	−	0.114195i	−0.967893	+	0.251362i	$0.919122\pi$
$884$	−26.6509	−	19.3630i	−0.896368	−	0.651250i
$885$	1.34158	+	0.668766i	0.0450968	+	0.0224803i
$886$	−18.8151	+	13.6699i	−0.632104	+	0.459251i
$887$	−22.4604	−	16.3184i	−0.754147	−	0.547920i	0.142963	−	0.989728i	$-0.454337\pi$
$887$	−22.4604	−	16.3184i	−0.754147	−	0.547920i	−0.897109	+	0.441808i	$0.854337\pi$
$888$	18.3453	+	13.3287i	0.615629	+	0.447281i
$889$	16.9115	−	12.2869i	0.567194	−	0.412091i
$890$	38.2753	−	6.40796i	1.28299	−	0.214795i
$891$	4.88287	+	3.54761i	0.163582	+	0.118849i
$892$	26.0316	+	80.1169i	0.871602	+	2.68251i
$893$	39.5126			1.32224
$894$	−7.61381	−	23.4329i	−0.254644	−	0.783713i
$895$	21.0795	−	3.52908i	0.704611	−	0.117964i
$896$	−5.94436	+	18.2949i	−0.198587	+	0.611189i
$897$	−4.10025	+	12.6193i	−0.136903	+	0.421345i
$898$	67.5418	−	49.0720i	2.25390	−	1.63755i
$899$	6.59251			0.219872
$900$	−0.355547	−	20.2010i	−0.0118516	−	0.673367i
$901$	−6.74409			−0.224678
$902$	132.488	−	96.2581i	4.41137	−	3.20504i
$903$	3.79519	−	11.6804i	0.126296	−	0.388699i
$904$	13.1481	−	40.4656i	0.437299	−	1.34587i
$905$	−18.2711	+	18.5955i	−0.607351	+	0.618135i
$906$	6.23493	+	19.1891i	0.207142	+	0.637516i
$907$	2.30612			0.0765736			0.0382868	−	0.999267i	$-0.487810\pi$
$907$	2.30612			0.0765736			0.0382868	+	0.999267i	$0.487810\pi$
$908$	31.1872	+	95.9844i	1.03498	+	3.18535i
$909$	−0.398051	−	0.289201i	−0.0132025	−	0.00959219i
$910$	−5.54419	−	10.6484i	−0.183788	−	0.352991i
$911$	−13.6406	+	9.91046i	−0.451932	+	0.328348i	−0.790358	−	0.612645i	$-0.790106\pi$
$911$	−13.6406	+	9.91046i	−0.451932	+	0.328348i	0.338426	+	0.940993i	$0.390106\pi$
$912$	−14.2767	−	10.3726i	−0.472747	−	0.343471i
$913$	1.82258	+	1.32418i	0.0603187	+	0.0438241i
$914$	−31.8300	+	23.1258i	−1.05284	+	0.764935i
$915$	−5.37086	+	5.46622i	−0.177555	+	0.180708i
$916$	−30.5596	−	22.2028i	−1.00972	−	0.733602i
$917$	3.28500	+	10.1102i	0.108480	+	0.333868i
$918$	9.17264			0.302742
$919$	−10.6360	−	32.7342i	−0.350848	−	1.07980i	−0.958378	−	0.285503i	$-0.907839\pi$
$919$	−10.6360	−	32.7342i	−0.350848	−	1.07980i	0.607530	−	0.794297i	$-0.292161\pi$
$920$	10.0651	−	67.3808i	0.331837	−	2.22148i
$921$	−0.688016	+	2.11750i	−0.0226709	+	0.0697739i
$922$	7.65126	−	23.5482i	0.251981	−	0.775518i
$923$	12.6470	−	9.18859i	0.416281	−	0.302446i
$924$	−24.3886			−0.802327
$925$	−21.3714	+	7.36222i	−0.702686	+	0.242068i
$926$	61.3890			2.01737
$927$	−6.38638	+	4.63998i	−0.209756	+	0.152397i
$928$	−0.759112	+	2.33631i	−0.0249191	+	0.0766930i
$929$	−9.38849	+	28.8948i	−0.308026	+	0.948008i	0.670504	+	0.741906i	$0.266078\pi$
$929$	−9.38849	+	28.8948i	−0.308026	+	0.948008i	−0.978530	+	0.206102i	$0.933922\pi$
$930$	5.35202	+	2.66793i	0.175500	+	0.0874850i
$931$	−1.28413	−	3.95214i	−0.0420856	−	0.129526i
$932$	−1.39168			−0.0455861
$933$	9.77987	+	30.0993i	0.320178	+	0.985408i
$934$	42.3244	+	30.7504i	1.38490	+	1.00619i
$935$	7.44113	−	49.8145i	0.243351	−	1.62911i
$936$	8.86442	−	6.44038i	0.289743	−	0.210510i
$937$	−0.300799	−	0.218544i	−0.00982669	−	0.00713951i	0.582861	−	0.812572i	$-0.301933\pi$
$937$	−0.300799	−	0.218544i	−0.00982669	−	0.00713951i	−0.592688	+	0.805432i	$0.701933\pi$
$938$	14.3181	+	10.4027i	0.467502	+	0.339660i
$939$	19.4780	−	14.1516i	0.635640	−	0.461819i
$940$	12.6927	−	84.9714i	0.413992	−	2.77146i
$941$	5.77031	+	4.19238i	0.188107	+	0.136668i	0.677853	−	0.735197i	$-0.262911\pi$
$941$	5.77031	+	4.19238i	0.188107	+	0.136668i	−0.489746	+	0.871865i	$0.662911\pi$
$942$	11.8931	+	36.6032i	0.387498	+	1.19260i
$943$	−67.0567			−2.18367
$944$	−0.879733	−	2.70754i	−0.0286329	−	0.0881230i
$945$	2.00121	+	0.997583i	0.0650993	+	0.0324514i
$946$	56.2987	−	173.270i	1.83043	−	5.63348i
$947$	−1.85520	+	5.70971i	−0.0602859	+	0.185541i	−0.976664	−	0.214773i	$-0.931099\pi$
$947$	−1.85520	+	5.70971i	−0.0602859	+	0.185541i	0.916378	+	0.400314i	$0.131099\pi$
$948$	−37.2020	+	27.0288i	−1.20826	+	0.877856i
$949$	1.44905			0.0470382
$950$	48.2828	−	16.6329i	1.56650	−	0.539644i
$951$	−12.9625			−0.420338
$952$	−15.1446	+	11.0032i	−0.490839	+	0.356616i
$953$	−15.9415	+	49.0629i	−0.516396	+	1.58930i	0.264331	+	0.964432i	$0.414849\pi$
$953$	−15.9415	+	49.0629i	−0.516396	+	1.58930i	−0.780727	+	0.624872i	$0.785151\pi$
$954$	1.37249	−	4.22407i	0.0444358	−	0.136759i
$955$	−5.53446	+	37.0504i	−0.179091	+	1.19892i
$956$	23.3340	+	71.8148i	0.754676	+	2.32266i
$957$	36.5670			1.18204
$958$	17.2551	+	53.1058i	0.557487	+	1.71577i
$959$	−3.41280	−	2.47954i	−0.110205	−	0.0800686i
$960$	11.7486	−	11.9572i	0.379183	−	0.385915i
$961$	24.1216	−	17.5254i	0.778117	−	0.565335i
$962$	−19.6362	−	14.2666i	−0.633098	−	0.459972i
$963$	12.0611	+	8.76287i	0.388662	+	0.282380i
$964$	−40.3137	+	29.2896i	−1.29842	+	0.943355i
$965$	0.916628	+	1.76051i	0.0295073	+	0.0566729i
$966$	12.0780	+	8.77518i	0.388603	+	0.282337i
$967$	−14.7841	−	45.5008i	−0.475424	−	1.46321i	−0.845384	−	0.534158i	$-0.820629\pi$
$967$	−14.7841	−	45.5008i	−0.475424	−	1.46321i	0.369960	−	0.929048i	$-0.379371\pi$
$968$	−127.545			−4.09946
$969$	4.79241	+	14.7495i	0.153954	+	0.473823i
$970$	−61.2944	+	62.3827i	−1.96804	+	2.00299i
$971$	−13.0180	+	40.0653i	−0.417767	+	1.28576i	0.491985	+	0.870604i	$0.336271\pi$
$971$	−13.0180	+	40.0653i	−0.417767	+	1.28576i	−0.909752	+	0.415152i	$0.863729\pi$
$972$	−1.24868	+	3.84305i	−0.0400516	+	0.123266i
$973$	3.55356	−	2.58181i	0.113922	−	0.0827691i
$974$	−48.3823			−1.55027
$975$	0.192205	+	10.9205i	0.00615550	+	0.349735i
$976$	14.5537			0.465852
$977$	−29.7580	+	21.6204i	−0.952041	+	0.691698i	−0.951289	−	0.308301i	$-0.900240\pi$
$977$	−29.7580	+	21.6204i	−0.952041	+	0.691698i	−0.000752457		1.00000i	$0.500240\pi$
$978$	−0.658192	+	2.02571i	−0.0210467	+	0.0647750i
$979$	−13.1701	+	40.5333i	−0.420917	+	1.29545i
$980$	−8.91153	+	1.49195i	−0.284669	+	0.0476584i
$981$	3.18003	+	9.78713i	0.101531	+	0.312479i
$982$	−93.7083			−2.99035
$983$	−0.695336	−	2.14002i	−0.0221778	−	0.0682562i	0.939355	−	0.342946i	$-0.111425\pi$
$983$	−0.695336	−	2.14002i	−0.0221778	−	0.0682562i	−0.961533	+	0.274690i	$0.911425\pi$
$984$	44.7987	+	32.5481i	1.42813	+	1.03760i
$985$	6.81524	−	1.14099i	0.217152	−	0.0363549i
$986$	44.9598	−	32.6652i	1.43181	−	1.04027i
$987$	7.69250	+	5.58893i	0.244855	+	0.177897i
$988$	29.6751	+	21.5602i	0.944090	+	0.685922i
$989$	−60.3528	+	43.8489i	−1.91911	+	1.39431i
$990$	29.6864	+	14.7984i	0.943495	+	0.470324i
$991$	−23.0375	−	16.7377i	−0.731810	−	0.531691i	0.158326	−	0.987387i	$-0.449390\pi$
$991$	−23.0375	−	16.7377i	−0.731810	−	0.531691i	−0.890135	+	0.455696i	$0.849390\pi$
$992$	−0.136336	−	0.419599i	−0.00432867	−	0.0133223i
$993$	−13.1664			−0.417824
$994$	−5.43528	−	16.7281i	−0.172397	−	0.530582i
$995$	−23.0598	−	44.2896i	−0.731045	−	1.40407i
$996$	−0.466085	+	1.43446i	−0.0147685	+	0.0454526i
$997$	11.3691	−	34.9905i	0.360063	−	1.10816i	−0.592952	−	0.805238i	$-0.702038\pi$
$997$	11.3691	−	34.9905i	0.360063	−	1.10816i	0.953015	−	0.302923i	$-0.0979624\pi$
$998$	−76.1884	+	55.3541i	−2.41170	+	1.75220i
$999$	4.52078			0.143031

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	525.2.n.b.211.5	✓	20
25.16	even	5	inner	525.2.n.b.316.5	yes	20

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
525.2.n.b.211.5	✓	20	1.1	even	1	trivial
525.2.n.b.316.5	yes	20	25.16	even	5	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 525 = 3 \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	525.n (of order \(5\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.98841 - 1.44466i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(1.24868 - 3.84305i) q^{4} +(-1.03265 - 1.98334i) q^{5} +(0.759505 + 2.33752i) q^{6} -1.00000 q^{7} +(-1.55002 - 4.77046i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(1.98841 - 1.44466i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(1.24868 - 3.84305i) q^{4} +(-1.03265 - 1.98334i) q^{5} +(0.759505 + 2.33752i) q^{6} -1.00000 q^{7} +(-1.55002 - 4.77046i) q^{8} +(-0.809017 - 0.587785i) q^{9} +(-4.91858 - 2.45187i) q^{10} +(4.88287 - 3.54761i) q^{11} +(3.26910 + 2.37514i) q^{12} +(-1.76724 - 1.28398i) q^{13} +(-1.98841 + 1.44466i) q^{14} +(2.20537 - 0.369218i) q^{15} +(-3.43559 - 2.49610i) q^{16} +(1.15326 + 3.54938i) q^{17} -2.45781 q^{18} +(-1.28413 - 3.95214i) q^{19} +(-8.91153 + 1.49195i) q^{20} +(0.309017 - 0.951057i) q^{21} +(4.58403 - 14.1082i) q^{22} +(-4.91413 + 3.57032i) q^{23} +5.01596 q^{24} +(-2.86729 + 4.09618i) q^{25} -5.36892 q^{26} +(0.809017 - 0.587785i) q^{27} +(-1.24868 + 3.84305i) q^{28} +(1.87221 - 5.76208i) q^{29} +(3.85179 - 3.92018i) q^{30} +(0.336248 + 1.03487i) q^{31} -0.405462 q^{32} +(1.86509 + 5.74015i) q^{33} +(7.42082 + 5.39154i) q^{34} +(1.03265 + 1.98334i) q^{35} +(-3.26910 + 2.37514i) q^{36} +(3.65739 + 2.65725i) q^{37} +(-8.26288 - 6.00333i) q^{38} +(1.76724 - 1.28398i) q^{39} +(-7.86084 + 8.00041i) q^{40} +(8.93123 + 6.48892i) q^{41} +(-0.759505 - 2.33752i) q^{42} +12.2815 q^{43} +(-7.53650 - 23.1950i) q^{44} +(-0.330351 + 2.21153i) q^{45} +(-4.61338 + 14.1985i) q^{46} +(-2.93827 + 9.04307i) q^{47} +(3.43559 - 2.49610i) q^{48} +1.00000 q^{49} +(0.216259 + 12.2871i) q^{50} -3.73204 q^{51} +(-7.14112 + 5.18833i) q^{52} +(-0.558418 + 1.71863i) q^{53} +(0.759505 - 2.33752i) q^{54} +(-12.0784 - 6.02097i) q^{55} +(1.55002 + 4.77046i) q^{56} +4.15552 q^{57} +(-4.60154 - 14.1621i) q^{58} +(0.542354 + 0.394043i) q^{59} +(1.33489 - 8.93641i) q^{60} +(-2.77260 + 2.01441i) q^{61} +(2.16363 + 1.57197i) q^{62} +(0.809017 + 0.587785i) q^{63} +(6.06495 - 4.40644i) q^{64} +(-0.721630 + 4.83094i) q^{65} +(12.0012 + 8.71935i) q^{66} +(-2.22516 - 6.84834i) q^{67} +15.0805 q^{68} +(-1.87703 - 5.77691i) q^{69} +(4.91858 + 2.45187i) q^{70} +(-2.21143 + 6.80609i) q^{71} +(-1.55002 + 4.77046i) q^{72} +(-0.536664 + 0.389909i) q^{73} +11.1112 q^{74} +(-3.00966 - 3.99274i) q^{75} -16.7917 q^{76} +(-4.88287 + 3.54761i) q^{77} +(1.65909 - 5.10615i) q^{78} +(-3.51658 + 10.8229i) q^{79} +(-1.40288 + 9.39153i) q^{80} +(0.309017 + 0.951057i) q^{81} +27.1332 q^{82} +(0.115344 + 0.354992i) q^{83} +(-3.26910 - 2.37514i) q^{84} +(5.84872 - 5.95256i) q^{85} +(24.4206 - 17.7426i) q^{86} +(4.90152 + 3.56116i) q^{87} +(-24.4923 - 17.7947i) q^{88} +(-5.71276 + 4.15057i) q^{89} +(2.53805 + 4.87467i) q^{90} +(1.76724 + 1.28398i) q^{91} +(7.58475 + 23.3435i) q^{92} -1.08812 q^{93} +(7.22171 + 22.2261i) q^{94} +(-6.51239 + 6.62802i) q^{95} +(0.125295 - 0.385618i) q^{96} +(4.91745 - 15.1344i) q^{97} +(1.98841 - 1.44466i) q^{98} -6.03555 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9}+O(q^{10}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9	\( 20 q - 2 q^{2} + 5 q^{3} + 5 q^{5} - 3 q^{6} - 20 q^{7} + 4 q^{8} - 5 q^{9} - 15 q^{10} + 12 q^{11} + 5 q^{12} - 17 q^{13} + 2 q^{14} + 15 q^{15} - 28 q^{16} - 9 q^{17} - 2 q^{18} - 9 q^{19} - 20 q^{20} - 5 q^{21} - 21 q^{22} + 7 q^{23} + 6 q^{24} - 15 q^{25} - 20 q^{26} + 5 q^{27} + 28 q^{29} + 6 q^{31} - 4 q^{32} + 3 q^{33} - 5 q^{35} - 5 q^{36} - 5 q^{37} - 6 q^{38} + 17 q^{39} - 10 q^{40} + 11 q^{41} + 3 q^{42} + 28 q^{43} - 17 q^{44} + 5 q^{45} - 43 q^{46} - 24 q^{47} + 28 q^{48} + 20 q^{49} + 10 q^{50} - 36 q^{51} - 9 q^{52} - 26 q^{53} - 3 q^{54} - 25 q^{55} - 4 q^{56} + 24 q^{57} - 16 q^{58} + 64 q^{59} + 5 q^{60} + 8 q^{61} + 27 q^{62} + 5 q^{63} + 26 q^{64} + 25 q^{65} - 4 q^{66} - 3 q^{67} + 80 q^{68} - 2 q^{69} + 15 q^{70} + 19 q^{71} + 4 q^{72} + 31 q^{73} + 8 q^{74} - 5 q^{75} - 72 q^{76} - 12 q^{77} - 30 q^{78} + 43 q^{79} - 25 q^{80} - 5 q^{81} - 6 q^{82} + 32 q^{83} - 5 q^{84} + 35 q^{85} + 53 q^{86} + 17 q^{87} - 61 q^{88} - 47 q^{89} + 10 q^{90} + 17 q^{91} + 41 q^{92} + 4 q^{93} + 12 q^{94} - 40 q^{95} - 6 q^{96} - 45 q^{97} - 2 q^{98} - 18 q^{99}+O(q^{100}) \) 20 * q - 2 * q^2 + 5 * q^3 + 5 * q^5 - 3 * q^6 - 20 * q^7 + 4 * q^8 - 5 * q^9 - 15 * q^10 + 12 * q^11 + 5 * q^12 - 17 * q^13 + 2 * q^14 + 15 * q^15 - 28 * q^16 - 9 * q^17 - 2 * q^18 - 9 * q^19 - 20 * q^20 - 5 * q^21 - 21 * q^22 + 7 * q^23 + 6 * q^24 - 15 * q^25 - 20 * q^26 + 5 * q^27 + 28 * q^29 + 6 * q^31 - 4 * q^32 + 3 * q^33 - 5 * q^35 - 5 * q^36 - 5 * q^37 - 6 * q^38 + 17 * q^39 - 10 * q^40 + 11 * q^41 + 3 * q^42 + 28 * q^43 - 17 * q^44 + 5 * q^45 - 43 * q^46 - 24 * q^47 + 28 * q^48 + 20 * q^49 + 10 * q^50 - 36 * q^51 - 9 * q^52 - 26 * q^53 - 3 * q^54 - 25 * q^55 - 4 * q^56 + 24 * q^57 - 16 * q^58 + 64 * q^59 + 5 * q^60 + 8 * q^61 + 27 * q^62 + 5 * q^63 + 26 * q^64 + 25 * q^65 - 4 * q^66 - 3 * q^67 + 80 * q^68 - 2 * q^69 + 15 * q^70 + 19 * q^71 + 4 * q^72 + 31 * q^73 + 8 * q^74 - 5 * q^75 - 72 * q^76 - 12 * q^77 - 30 * q^78 + 43 * q^79 - 25 * q^80 - 5 * q^81 - 6 * q^82 + 32 * q^83 - 5 * q^84 + 35 * q^85 + 53 * q^86 + 17 * q^87 - 61 * q^88 - 47 * q^89 + 10 * q^90 + 17 * q^91 + 41 * q^92 + 4 * q^93 + 12 * q^94 - 40 * q^95 - 6 * q^96 - 45 * q^97 - 2 * q^98 - 18 * q^99

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