LMFDB - Embedded newform 504.2.y.a.173.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(173,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 1, 5]))

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

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

chi := DirichletCharacter("504.173");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.y (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			173.1
Character	$\chi$	$=$	504.173
Dual form			504.2.y.a.437.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41306 + 0.0570616i) q^{2} +(0.0165996 + 1.73197i) q^{3} +(1.99349 - 0.161263i) q^{4} +0.186906i q^{5} +(-0.122285 - 2.44644i) q^{6} +(-0.0220103 + 2.64566i) q^{7} +(-2.80772 + 0.341626i) q^{8} +(-2.99945 + 0.0574999i) q^{9} +O(q^{10})$	\(q+(-1.41306 + 0.0570616i) q^{2} +(0.0165996 + 1.73197i) q^{3} +(1.99349 - 0.161263i) q^{4} +0.186906i q^{5} +(-0.122285 - 2.44644i) q^{6} +(-0.0220103 + 2.64566i) q^{7} +(-2.80772 + 0.341626i) q^{8} +(-2.99945 + 0.0574999i) q^{9} +(-0.0106652 - 0.264110i) q^{10} -3.59625 q^{11} +(0.312394 + 3.44999i) q^{12} +(-1.86968 - 3.23838i) q^{13} +(-0.119864 - 3.73974i) q^{14} +(-0.323716 + 0.00310256i) q^{15} +(3.94799 - 0.642952i) q^{16} +(-1.02476 - 1.77494i) q^{17} +(4.23513 - 0.252404i) q^{18} +(-3.05081 + 5.28416i) q^{19} +(0.0301411 + 0.372595i) q^{20} +(-4.58257 + 0.00579560i) q^{21} +(5.08173 - 0.205208i) q^{22} -1.86973i q^{23} +(-0.638294 - 4.85722i) q^{24} +4.96507 q^{25} +(2.82676 + 4.46935i) q^{26} +(-0.149378 - 5.19400i) q^{27} +(0.382770 + 5.27764i) q^{28} +(-3.68322 + 6.37953i) q^{29} +(0.457254 - 0.0228559i) q^{30} +(4.19433 + 2.42160i) q^{31} +(-5.54206 + 1.13381i) q^{32} +(-0.0596962 - 6.22861i) q^{33} +(1.54933 + 2.44962i) q^{34} +(-0.494490 - 0.00411386i) q^{35} +(-5.97009 + 0.598326i) q^{36} +(-1.33193 - 0.768992i) q^{37} +(4.00947 - 7.64093i) q^{38} +(5.57775 - 3.29199i) q^{39} +(-0.0638520 - 0.524780i) q^{40} +(-5.23920 - 9.07456i) q^{41} +(6.47513 - 0.269678i) q^{42} +(-8.77963 - 5.06892i) q^{43} +(-7.16909 + 0.579943i) q^{44} +(-0.0107471 - 0.560615i) q^{45} +(0.106690 + 2.64204i) q^{46} +(1.66000 + 2.87521i) q^{47} +(1.17911 + 6.82713i) q^{48} +(-6.99903 - 0.116463i) q^{49} +(-7.01595 + 0.283315i) q^{50} +(3.05713 - 1.80432i) q^{51} +(-4.24942 - 6.15417i) q^{52} +(1.25602 + 2.17549i) q^{53} +(0.507458 + 7.33093i) q^{54} -0.672161i q^{55} +(-0.842029 - 7.43579i) q^{56} +(-9.20266 - 5.19621i) q^{57} +(4.84059 - 9.22484i) q^{58} +(-2.73990 - 1.58188i) q^{59} +(-0.644823 + 0.0583883i) q^{60} +(-0.804038 - 1.39264i) q^{61} +(-6.06503 - 3.18253i) q^{62} +(-0.0861065 - 7.93679i) q^{63} +(7.76658 - 1.91838i) q^{64} +(0.605273 - 0.349455i) q^{65} +(0.439769 + 8.79800i) q^{66} +(3.99836 + 2.30846i) q^{67} +(-2.32908 - 3.37306i) q^{68} +(3.23831 - 0.0310366i) q^{69} +(0.698979 - 0.0224032i) q^{70} +10.3929i q^{71} +(8.40197 - 1.18613i) q^{72} +(-10.1047 + 5.83396i) q^{73} +(1.92598 + 1.01063i) q^{74} +(0.0824179 + 8.59935i) q^{75} +(-5.22962 + 11.0259i) q^{76} +(0.0791546 - 9.51446i) q^{77} +(-7.69386 + 4.97006i) q^{78} +(8.03808 + 13.9224i) q^{79} +(0.120172 + 0.737903i) q^{80} +(8.99339 - 0.344936i) q^{81} +(7.92112 + 12.5240i) q^{82} +(-2.62532 - 1.51573i) q^{83} +(-9.13437 + 0.750553i) q^{84} +(0.331746 - 0.191534i) q^{85} +(12.6954 + 6.66172i) q^{86} +(-11.1103 - 6.27334i) q^{87} +(10.0973 - 1.22858i) q^{88} +(-3.54615 + 6.14211i) q^{89} +(0.0471759 + 0.791571i) q^{90} +(8.60881 - 4.87526i) q^{91} +(-0.301518 - 3.72728i) q^{92} +(-4.12451 + 7.30465i) q^{93} +(-2.50975 - 3.96812i) q^{94} +(-0.987642 - 0.570215i) q^{95} +(-2.05572 - 9.57988i) q^{96} +(-9.38981 - 5.42121i) q^{97} +(9.89671 - 0.234806i) q^{98} +(10.7868 - 0.206784i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9}+O(q^{10}) $ 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9	$ 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9} - 6 q^{10} - 3 q^{12} - 3 q^{14} - 2 q^{15} + q^{16} - 15 q^{18} - 6 q^{22} - 12 q^{24} - 156 q^{25} + 6 q^{26} - 8 q^{28} - 14 q^{30} - 6 q^{31} - 33 q^{32} - 6 q^{33} - 6 q^{34} + 22 q^{36} - 66 q^{38} + 10 q^{39} - 15 q^{42} + 9 q^{44} + 2 q^{46} - 6 q^{47} - 9 q^{48} - 2 q^{49} + 9 q^{50} + 24 q^{54} + 60 q^{56} + 4 q^{57} + 6 q^{58} + 34 q^{60} - 12 q^{62} - 30 q^{63} - 8 q^{64} - 6 q^{65} - 21 q^{66} - 36 q^{68} + 30 q^{70} + 9 q^{72} - 12 q^{73} - 12 q^{76} + 19 q^{78} + 2 q^{79} + 57 q^{80} + 6 q^{81} + 9 q^{84} + 12 q^{87} - 18 q^{88} + 24 q^{89} + 75 q^{90} - 36 q^{92} - 3 q^{94} + 54 q^{95} - 54 q^{96} + 45 q^{98}+O(q^{100}) $ 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9 - 6 * q^10 - 3 * q^12 - 3 * q^14 - 2 * q^15 + q^16 - 15 * q^18 - 6 * q^22 - 12 * q^24 - 156 * q^25 + 6 * q^26 - 8 * q^28 - 14 * q^30 - 6 * q^31 - 33 * q^32 - 6 * q^33 - 6 * q^34 + 22 * q^36 - 66 * q^38 + 10 * q^39 - 15 * q^42 + 9 * q^44 + 2 * q^46 - 6 * q^47 - 9 * q^48 - 2 * q^49 + 9 * q^50 + 24 * q^54 + 60 * q^56 + 4 * q^57 + 6 * q^58 + 34 * q^60 - 12 * q^62 - 30 * q^63 - 8 * q^64 - 6 * q^65 - 21 * q^66 - 36 * q^68 + 30 * q^70 + 9 * q^72 - 12 * q^73 - 12 * q^76 + 19 * q^78 + 2 * q^79 + 57 * q^80 + 6 * q^81 + 9 * q^84 + 12 * q^87 - 18 * q^88 + 24 * q^89 + 75 * q^90 - 36 * q^92 - 3 * q^94 + 54 * q^95 - 54 * q^96 + 45 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.41306	+	0.0570616i	−0.999186	+	0.0403486i
$2$	−1.41306	+	0.0570616i	−0.999186	+	0.0403486i
$3$	0.0165996	+	1.73197i	0.00958376	+	0.999954i
$3$	0.0165996	+	1.73197i	0.00958376	+	0.999954i
$4$	1.99349	−	0.161263i	0.996744	−	0.0806316i
$5$			0.186906i			0.0835869i	0.999126	+	0.0417935i	$0.0133071\pi$
$5$			0.186906i			0.0835869i	−0.999126	+	0.0417935i	$0.986693\pi$
$6$	−0.122285	−	2.44644i	−0.0499227	−	0.998753i
$7$	−0.0220103	+	2.64566i	−0.00831911	+	0.999965i
$7$	−0.0220103	+	2.64566i	−0.00831911	+	0.999965i
$8$	−2.80772	+	0.341626i	−0.992679	+	0.120783i
$9$	−2.99945	+	0.0574999i	−0.999816	+	0.0191666i
$10$	−0.0106652	−	0.264110i	−0.00337262	−	0.0835188i
$11$	−3.59625			−1.08431			−0.542156	−	0.840278i	$-0.682392\pi$
$11$	−3.59625			−1.08431			−0.542156	+	0.840278i	$0.682392\pi$
$12$	0.312394	+	3.44999i	0.0901804	+	0.995925i
$13$	−1.86968	−	3.23838i	−0.518556	−	0.898166i	−0.999768	−	0.0215611i	$-0.993136\pi$
$13$	−1.86968	−	3.23838i	−0.518556	−	0.898166i	0.481211	−	0.876605i	$-0.340197\pi$
$14$	−0.119864	−	3.73974i	−0.0320349	−	0.999487i
$15$	−0.323716	+	0.00310256i	−0.0835831	+	0.000801077i
$16$	3.94799	−	0.642952i	0.986997	−	0.160738i
$17$	−1.02476	−	1.77494i	−0.248541	−	0.430485i	0.714580	−	0.699553i	$-0.246618\pi$
$17$	−1.02476	−	1.77494i	−0.248541	−	0.430485i	−0.963121	+	0.269068i	$0.913284\pi$
$18$	4.23513	−	0.252404i	0.998229	−	0.0594923i
$19$	−3.05081	+	5.28416i	−0.699905	+	1.21227i	0.268595	+	0.963253i	$0.413441\pi$
$19$	−3.05081	+	5.28416i	−0.699905	+	1.21227i	−0.968499	+	0.249017i	$0.919892\pi$
$20$	0.0301411	+	0.372595i	0.00673974	+	0.0833148i
$21$	−4.58257	+	0.00579560i	−0.999999	+	0.00126470i
$22$	5.08173	−	0.205208i	1.08343	−	0.0437505i
$23$		−	1.86973i		−	0.389865i	−0.980817	−	0.194932i	$-0.937551\pi$
$23$		−	1.86973i		−	0.389865i	0.980817	−	0.194932i	$-0.0624488\pi$
$24$	−0.638294	−	4.85722i	−0.130291	−	0.991476i
$25$	4.96507			0.993013
$26$	2.82676	+	4.46935i	0.554374	+	0.876511i
$27$	−0.149378	−	5.19400i	−0.0287478	−	0.999587i
$28$	0.382770	+	5.27764i	0.0723368	+	0.997380i
$29$	−3.68322	+	6.37953i	−0.683957	+	1.18465i	0.289806	+	0.957085i	$0.406409\pi$
$29$	−3.68322	+	6.37953i	−0.683957	+	1.18465i	−0.973763	+	0.227563i	$0.926924\pi$
$30$	0.457254	−	0.0228559i	0.0834827	−	0.00417289i
$31$	4.19433	+	2.42160i	0.753324	+	0.434932i	0.826894	−	0.562358i	$-0.190106\pi$
$31$	4.19433	+	2.42160i	0.753324	+	0.434932i	−0.0735699	+	0.997290i	$0.523439\pi$
$32$	−5.54206	+	1.13381i	−0.979708	+	0.200431i
$33$	−0.0596962	−	6.22861i	−0.0103918	−	1.08426i
$34$	1.54933	+	2.44962i	0.265708	+	0.420107i
$35$	−0.494490	−	0.00411386i	−0.0835840	−	0.000695369i
$36$	−5.97009	+	0.598326i	−0.995015	+	0.0997210i
$37$	−1.33193	−	0.768992i	−0.218968	−	0.126422i	0.386504	−	0.922288i	$-0.373683\pi$
$37$	−1.33193	−	0.768992i	−0.218968	−	0.126422i	−0.605473	+	0.795866i	$0.707016\pi$
$38$	4.00947	−	7.64093i	0.650421	−	1.23952i
$39$	5.57775	−	3.29199i	0.893155	−	0.527140i
$40$	−0.0638520	−	0.524780i	−0.0100959	−	0.0829750i
$41$	−5.23920	−	9.07456i	−0.818226	−	1.41721i	−0.906988	−	0.421155i	$-0.861625\pi$
$41$	−5.23920	−	9.07456i	−0.818226	−	1.41721i	0.0887629	−	0.996053i	$-0.471709\pi$
$42$	6.47513	−	0.269678i	0.999134	−	0.0416123i
$43$	−8.77963	−	5.06892i	−1.33888	−	0.773004i	−0.352240	−	0.935910i	$-0.614580\pi$
$43$	−8.77963	−	5.06892i	−1.33888	−	0.773004i	−0.986642	+	0.162906i	$0.947913\pi$
$44$	−7.16909	+	0.579943i	−1.08078	+	0.0874297i
$45$	−0.0107471	−	0.560615i	−0.00160208	−	0.0835716i
$46$	0.106690	+	2.64204i	0.0157305	+	0.389547i
$47$	1.66000	+	2.87521i	0.242136	+	0.419392i	0.961323	−	0.275425i	$-0.0888186\pi$
$47$	1.66000	+	2.87521i	0.242136	+	0.419392i	−0.719186	+	0.694817i	$0.755485\pi$
$48$	1.17911	+	6.82713i	0.170190	+	0.985411i
$49$	−6.99903	−	0.116463i	−0.999862	−	0.0166376i
$50$	−7.01595	+	0.283315i	−0.992205	+	0.0400667i
$51$	3.05713	−	1.80432i	0.428084	−	0.252655i
$52$	−4.24942	−	6.15417i	−0.589288	−	0.853429i
$53$	1.25602	+	2.17549i	0.172527	+	0.298826i	0.939303	−	0.343089i	$-0.111473\pi$
$53$	1.25602	+	2.17549i	0.172527	+	0.298826i	−0.766775	+	0.641915i	$0.778140\pi$
$54$	0.507458	+	7.33093i	0.0690563	+	0.997613i
$55$		−	0.672161i		−	0.0906342i
$56$	−0.842029	−	7.43579i	−0.112521	−	0.993649i
$57$	−9.20266	−	5.19621i	−1.21892	−	0.688254i
$58$	4.84059	−	9.22484i	0.635601	−	1.21128i
$59$	−2.73990	−	1.58188i	−0.356705	−	0.205944i	0.310930	−	0.950433i	$-0.399360\pi$
$59$	−2.73990	−	1.58188i	−0.356705	−	0.205944i	−0.667634	+	0.744489i	$0.732693\pi$
$60$	−0.644823	+	0.0583883i	−0.0832463	+	0.00753790i
$61$	−0.804038	−	1.39264i	−0.102947	−	0.178309i	0.809951	−	0.586498i	$-0.199494\pi$
$61$	−0.804038	−	1.39264i	−0.102947	−	0.178309i	−0.912897	+	0.408189i	$0.866160\pi$
$62$	−6.06503	−	3.18253i	−0.770259	−	0.404182i
$63$	−0.0861065	−	7.93679i	−0.0108484	−	0.999941i
$64$	7.76658	−	1.91838i	0.970823	−	0.239798i
$65$	0.605273	−	0.349455i	0.0750749	−	0.0433445i
$66$	0.439769	+	8.79800i	0.0541318	+	1.08296i
$67$	3.99836	+	2.30846i	0.488478	+	0.282023i	0.723943	−	0.689860i	$-0.242328\pi$
$67$	3.99836	+	2.30846i	0.488478	+	0.282023i	−0.235465	+	0.971883i	$0.575661\pi$
$68$	−2.32908	−	3.37306i	−0.282442	−	0.409044i
$69$	3.23831	−	0.0310366i	0.389847	−	0.00373637i
$70$	0.698979	−	0.0224032i	0.0835440	−	0.00267770i
$71$			10.3929i			1.23341i	0.787193	+	0.616707i	$0.211533\pi$
$71$			10.3929i			1.23341i	−0.787193	+	0.616707i	$0.788467\pi$
$72$	8.40197	−	1.18613i	0.990182	−	0.139787i
$73$	−10.1047	+	5.83396i	−1.18267	+	0.682813i	−0.956630	−	0.291306i	$-0.905910\pi$
$73$	−10.1047	+	5.83396i	−1.18267	+	0.682813i	−0.226037	+	0.974119i	$0.572577\pi$
$74$	1.92598	+	1.01063i	0.223891	+	0.117483i
$75$	0.0824179	+	8.59935i	0.00951680	+	0.992968i
$76$	−5.22962	+	11.0259i	−0.599878	+	1.26476i
$77$	0.0791546	−	9.51446i	0.00902050	−	1.08427i
$78$	−7.69386	+	4.97006i	−0.871158	+	0.562748i
$79$	8.03808	+	13.9224i	0.904354	+	1.56639i	0.821782	+	0.569802i	$0.192980\pi$
$79$	8.03808	+	13.9224i	0.904354	+	1.56639i	0.0825724	+	0.996585i	$0.473686\pi$
$80$	0.120172	+	0.737903i	0.0134356	+	0.0825000i
$81$	8.99339	−	0.344936i	0.999265	−	0.0383262i
$82$	7.92112	+	12.5240i	0.874742	+	1.38304i
$83$	−2.62532	−	1.51573i	−0.288166	−	0.166373i	0.348948	−	0.937142i	$-0.386539\pi$
$83$	−2.62532	−	1.51573i	−0.288166	−	0.166373i	−0.637115	+	0.770769i	$0.719872\pi$
$84$	−9.13437	+	0.750553i	−0.996641	+	0.0818921i
$85$	0.331746	−	0.191534i	0.0359830	−	0.0207748i
$86$	12.6954	+	6.66172i	1.36898	+	0.718352i
$87$	−11.1103	−	6.27334i	−1.19115	−	0.672572i
$88$	10.0973	−	1.22858i	1.07637	−	0.130967i
$89$	−3.54615	+	6.14211i	−0.375891	+	0.651063i	−0.990460	−	0.137801i	$-0.955997\pi$
$89$	−3.54615	+	6.14211i	−0.375891	+	0.651063i	0.614569	+	0.788863i	$0.289330\pi$
$90$	0.0471759	+	0.791571i	0.00497277	+	0.0834389i
$91$	8.60881	−	4.87526i	0.902449	−	0.511066i
$92$	−0.301518	−	3.72728i	−0.0314354	−	0.388595i
$93$	−4.12451	+	7.30465i	−0.427692	+	0.757457i
$94$	−2.50975	−	3.96812i	−0.258861	−	0.409281i
$95$	−0.987642	−	0.570215i	−0.101330	−	0.0585029i
$96$	−2.05572	−	9.57988i	−0.209811	−	0.977742i
$97$	−9.38981	−	5.42121i	−0.953391	−	0.550440i	−0.0592580	−	0.998243i	$-0.518873\pi$
$97$	−9.38981	−	5.42121i	−0.953391	−	0.550440i	−0.894133	+	0.447802i	$0.852207\pi$
$98$	9.89671	−	0.234806i	0.999719	−	0.0237190i
$99$	10.7868	−	0.206784i	1.08411	−	0.0207826i
$100$	9.89780	−	0.800682i	0.989780	−	0.0800682i
$101$			16.1720i			1.60918i	0.593832	+	0.804589i	$0.297614\pi$
$101$			16.1720i			1.60918i	−0.593832	+	0.804589i	$0.702386\pi$
$102$	−4.21696	+	2.72406i	−0.417541	+	0.269722i
$103$		−	8.39279i		−	0.826966i	−0.910512	−	0.413483i	$-0.864312\pi$
$103$		−	8.39279i		−	0.826966i	0.910512	−	0.413483i	$-0.135688\pi$
$104$	6.35586	+	8.45374i	0.623243	+	0.828957i
$105$	−0.00108323	−	0.856510i	−0.000105713	−	0.0835868i
$106$	−1.89897	−	3.00243i	−0.184444	−	0.291621i
$107$	2.40802	−	4.17081i	0.232792	−	0.403208i	−0.725837	−	0.687867i	$-0.758547\pi$
$107$	2.40802	−	4.17081i	0.232792	−	0.403208i	0.958629	+	0.284659i	$0.0918805\pi$
$108$	−1.13538	−	10.3301i	−0.109252	−	0.994014i
$109$	−0.567963	+	0.327914i	−0.0544010	+	0.0314084i	−0.526954	−	0.849894i	$-0.676666\pi$
$109$	−0.567963	+	0.327914i	−0.0544010	+	0.0314084i	0.472553	+	0.881302i	$0.343333\pi$
$110$	0.0383546	+	0.949806i	0.00365697	+	0.0905604i
$111$	1.30976	−	2.31964i	0.124317	−	0.220170i
$112$	1.61414	+	10.4592i	0.152522	+	0.988300i
$113$	12.0747	−	6.97134i	1.13589	−	0.655808i	0.190483	−	0.981691i	$-0.438995\pi$
$113$	12.0747	−	6.97134i	1.13589	−	0.655808i	0.945410	+	0.325882i	$0.105661\pi$
$114$	13.3004	+	6.81744i	1.24570	+	0.638512i
$115$	0.349463			0.0325876
$116$	−6.31368	+	13.3115i	−0.586210	+	1.23594i
$117$	5.79422	+	9.60586i	0.535676	+	0.888062i
$118$	3.96191	+	2.07895i	0.364724	+	0.191383i
$119$	4.71844	−	2.67210i	0.432538	−	0.244951i
$120$	0.907844	−	0.119301i	0.0828744	−	0.0108906i
$121$	1.93304			0.175731
$122$	1.21562	+	1.92200i	0.110057	+	0.174010i
$123$	15.6299	−	9.22478i	1.40930	−	0.831770i
$124$	8.75186	+	4.15103i	0.785940	+	0.372774i
$125$			1.86253i			0.166590i
$126$	0.574560	+	11.2103i	0.0511858	+	0.998689i
$127$	9.93306			0.881416			0.440708	−	0.897650i	$-0.354727\pi$
$127$	9.93306			0.881416			0.440708	+	0.897650i	$0.354727\pi$
$128$	−10.8652	+	3.15397i	−0.960357	+	0.278774i
$129$	8.63349	−	15.2902i	0.760137	−	1.34623i
$130$	−0.835348	+	0.528339i	−0.0732649	+	0.0463384i
$131$			11.9341i			1.04269i	0.853346	+	0.521346i	$0.174570\pi$
$131$			11.9341i			1.04269i	−0.853346	+	0.521346i	$0.825430\pi$
$132$	−1.12345	−	12.4070i	−0.0977837	−	1.07989i
$133$	−13.9130	−	8.18772i	−1.20641	−	0.709965i
$134$	−5.78166	−	3.03384i	−0.499459	−	0.262084i
$135$	0.970791	−	0.0279196i	0.0835524	−	0.00240294i
$136$	3.48361	+	4.63344i	0.298717	+	0.397314i
$137$			17.8521i			1.52521i	0.646863	+	0.762606i	$0.276080\pi$
$137$			17.8521i			1.52521i	−0.646863	+	0.762606i	$0.723920\pi$
$138$	−4.57416	+	0.228640i	−0.389379	+	0.0194631i
$139$	4.27906	+	7.41155i	0.362945	+	0.628640i	0.988444	−	0.151585i	$-0.0484378\pi$
$139$	4.27906	+	7.41155i	0.362945	+	0.628640i	−0.625499	+	0.780225i	$0.715104\pi$
$140$	−0.986423	+	0.0715420i	−0.0833679	+	0.00604641i
$141$	−4.95222	+	2.92280i	−0.417052	+	0.246144i
$142$	−0.593037	−	14.6858i	−0.0497665	−	1.23241i
$143$	6.72385	+	11.6460i	0.562276	+	0.973891i
$144$	−11.8048	+	2.15551i	−0.983735	+	0.179626i
$145$	−1.19237	−	0.688416i	−0.0990211	−	0.0571699i
$146$	13.9457	−	8.82033i	1.15415	−	0.729976i
$147$	0.0855306	−	12.1241i	0.00705444	−	0.999975i
$148$	−2.77920	−	1.31818i	−0.228449	−	0.108354i
$149$	22.8273			1.87009			0.935043	−	0.354533i	$-0.115360\pi$
$149$	22.8273			1.87009			0.935043	+	0.354533i	$0.115360\pi$
$150$	−0.607154	−	12.1467i	−0.0495739	−	0.991775i
$151$	−8.60644			−0.700382			−0.350191	−	0.936678i	$-0.613883\pi$
$151$	−8.60644			−0.700382			−0.350191	+	0.936678i	$0.613883\pi$
$152$	6.76062	−	15.8787i	0.548359	−	1.28793i
$153$	3.17578	+	5.26491i	0.256746	+	0.425643i
$154$	0.431060	+	13.4490i	0.0347358	+	1.08375i
$155$	−0.452611	+	0.783945i	−0.0363546	+	0.0629680i
$156$	10.5883	−	7.46203i	0.847742	−	0.597440i
$157$	1.24688	−	2.15965i	0.0995116	−	0.172359i	−0.811971	−	0.583698i	$-0.801605\pi$
$157$	1.24688	−	2.15965i	0.0995116	−	0.172359i	0.911483	+	0.411339i	$0.134939\pi$
$158$	−12.1527	−	19.2145i	−0.966819	−	1.52862i
$159$	−3.74703	+	2.21150i	−0.297159	+	0.175383i
$160$	−0.211916	−	1.03585i	−0.0167534	−	0.0818908i
$161$	4.94666	+	0.0411532i	0.389851	+	0.00324333i
$162$	−12.6885	+	1.00059i	−0.996905	+	0.0786140i
$163$	1.55387	+	0.897128i	0.121709	+	0.0702684i	0.559618	−	0.828750i	$-0.310948\pi$
$163$	1.55387	+	0.897128i	0.121709	+	0.0702684i	−0.437910	+	0.899019i	$0.644281\pi$
$164$	−11.9077	−	17.2451i	−0.929833	−	1.34662i
$165$	1.16416	−	0.0111576i	0.0906301	−	0.000868617i
$166$	3.79623	+	1.99202i	0.294645	+	0.154610i
$167$	4.90949	+	8.50349i	0.379908	+	0.658020i	0.991049	−	0.133502i	$-0.0426223\pi$
$167$	4.90949	+	8.50349i	0.379908	+	0.658020i	−0.611141	+	0.791522i	$0.709289\pi$
$168$	12.8646	−	1.58180i	0.992525	−	0.122039i
$169$	−0.491414	+	0.851153i	−0.0378010	+	0.0654733i
$170$	−0.457849	+	0.289579i	−0.0351154	+	0.0222097i
$171$	8.84692	−	16.0250i	0.676541	−	1.22546i
$172$	−18.3195	−	8.68901i	−1.39685	−	0.662531i
$173$	5.22099	−	3.01434i	0.396944	−	0.229176i	−0.288220	−	0.957564i	$-0.593064\pi$
$173$	5.22099	−	3.01434i	0.396944	−	0.229176i	0.685165	+	0.728388i	$0.259730\pi$
$174$	16.0575	+	8.23064i	1.21732	+	0.623963i
$175$	−0.109283	+	13.1359i	−0.00826098	+	0.992979i
$176$	−14.1980	+	2.31222i	−1.07021	+	0.174290i
$177$	2.69429	−	4.77169i	0.202515	−	0.358662i
$178$	4.66045	−	8.88154i	0.349316	−	0.665699i
$179$	1.95012	+	3.37771i	0.145759	+	0.252462i	0.929656	−	0.368429i	$-0.120104\pi$
$179$	1.95012	+	3.37771i	0.145759	+	0.252462i	−0.783897	+	0.620891i	$0.786771\pi$
$180$	−0.111831	−	1.11585i	−0.00833537	−	0.0831703i
$181$	−21.3467			−1.58669			−0.793344	−	0.608774i	$-0.791662\pi$
$181$	−21.3467			−1.58669			−0.793344	+	0.608774i	$0.791662\pi$
$182$	−11.8866	+	7.38028i	−0.881093	+	0.547063i
$183$	2.39866	−	1.41569i	0.177314	−	0.104651i
$184$	0.638748	+	5.24967i	0.0470891	+	0.387011i
$185$	0.143729	−	0.248946i	0.0105672	−	0.0183029i
$186$	5.41138	−	10.5573i	0.396781	−	0.774097i
$187$	3.68530	+	6.38312i	0.269496	+	0.466780i
$188$	3.77286	+	5.46399i	0.275164	+	0.398503i
$189$	13.7449	−	0.280881i	0.999791	−	0.0204311i
$190$	1.42814	+	0.749393i	0.103608	+	0.0543667i
$191$	−9.89534	+	5.71308i	−0.716002	+	0.413384i	−0.813279	−	0.581874i	$-0.802320\pi$
$191$	−9.89534	+	5.71308i	−0.716002	+	0.413384i	0.0972776	+	0.995257i	$0.468987\pi$
$192$	3.45151	+	13.4197i	0.249091	+	0.968480i
$193$	−9.01477	+	15.6140i	−0.648897	+	1.12392i	0.334489	+	0.942400i	$0.391436\pi$
$193$	−9.01477	+	15.6140i	−0.648897	+	1.12392i	−0.983387	+	0.181524i	$0.941897\pi$
$194$	13.5777	+	7.12471i	0.974824	+	0.511524i
$195$	0.615293	+	1.04251i	0.0440620	+	0.0746560i
$196$	−13.9713	+	0.896517i	−0.997948	+	0.0640369i
$197$	−2.03503			−0.144990			−0.0724950	−	0.997369i	$-0.523096\pi$
$197$	−2.03503			−0.144990			−0.0724950	+	0.997369i	$0.523096\pi$
$198$	−15.2306	+	0.907710i	−1.08239	+	0.0645081i
$199$	−15.9489	+	9.20812i	−1.13059	+	0.652747i	−0.944083	−	0.329707i	$-0.893050\pi$
$199$	−15.9489	+	9.20812i	−1.13059	+	0.652747i	−0.186507	+	0.982454i	$0.559717\pi$
$200$	−13.9405	+	1.69620i	−0.985743	+	0.119939i
$201$	−3.93181	+	6.96337i	−0.277328	+	0.491158i
$202$	−0.922802	−	22.8521i	−0.0649281	−	1.60787i
$203$	−16.7970	−	9.88497i	−1.17892	−	0.693789i
$204$	5.80338	−	4.08989i	0.406318	−	0.286350i
$205$	1.69609	−	0.979238i	0.118460	−	0.0683929i
$206$	0.478906	+	11.8595i	0.0333670	+	0.826293i
$207$	0.107509	+	5.60815i	0.00747240	+	0.389793i
$208$	−9.46360	−	11.5830i	−0.656183	−	0.803135i
$209$	10.9715	−	19.0032i	0.758914	−	1.31448i
$210$	0.0504045	+	1.21024i	0.00347824	+	0.0835145i
$211$	11.2790	−	6.51192i	0.776476	−	0.448299i	−0.0587038	−	0.998275i	$-0.518697\pi$
$211$	11.2790	−	6.51192i	0.776476	−	0.448299i	0.835180	+	0.549977i	$0.185363\pi$
$212$	2.85468	+	4.13426i	0.196060	+	0.283942i
$213$	−18.0002	+	0.172518i	−1.23336	+	0.0118207i
$214$	−3.16469	+	6.03102i	−0.216334	+	0.412272i
$215$	0.947413	−	1.64097i	0.0646130	−	0.111913i
$216$	2.19382	+	14.5323i	0.149271	+	0.988796i
$217$	−6.49904	+	11.0435i	−0.441184	+	0.749679i
$218$	0.783856	−	0.495771i	0.0530894	−	0.0335779i
$219$	−10.2720	−	17.4042i	−0.694116	−	1.17607i
$220$	−0.108395	−	1.33995i	−0.00730798	−	0.0903391i
$221$	−3.83195	+	6.63713i	−0.257765	+	0.446462i
$222$	−1.71841	+	3.35253i	−0.115332	+	0.225007i
$223$	−18.0840	−	10.4408i	−1.21099	−	0.699168i	−0.248018	−	0.968755i	$-0.579779\pi$
$223$	−18.0840	−	10.4408i	−1.21099	−	0.699168i	−0.962976	+	0.269587i	$0.913113\pi$
$224$	−2.87769	−	14.6874i	−0.192274	−	0.981341i
$225$	−14.8925	+	0.285491i	−0.992831	+	0.0190327i
$226$	−16.6645	+	10.5399i	−1.10851	+	0.701106i
$227$			2.09477i			0.139035i	0.997581	+	0.0695174i	$0.0221459\pi$
$227$			2.09477i			0.139035i	−0.997581	+	0.0695174i	$0.977854\pi$
$228$	−19.1834	−	8.87452i	−1.27045	−	0.587730i
$229$	14.8750			0.982965			0.491483	−	0.870887i	$-0.336455\pi$
$229$	14.8750			0.982965			0.491483	+	0.870887i	$0.336455\pi$
$230$	−0.493813	+	0.0199409i	−0.0325611	+	0.00131487i
$231$	16.4801	−	0.0208424i	1.08431	−	0.00137133i
$232$	8.16204	−	19.1702i	0.535864	−	1.25859i
$233$	−2.36217	−	1.36380i	−0.154751	−	0.0893454i	0.420625	−	0.907235i	$-0.361811\pi$
$233$	−2.36217	−	1.36380i	−0.154751	−	0.0893454i	−0.575376	+	0.817889i	$0.695144\pi$
$234$	−8.73572	−	13.2430i	−0.571072	−	0.865725i
$235$	−0.537393	+	0.310264i	−0.0350557	+	0.0202394i
$236$	−5.71706	−	2.71162i	−0.372149	−	0.176511i
$237$	−23.9797	+	14.1528i	−1.55765	+	0.919325i
$238$	−6.51497	+	4.04509i	−0.422303	+	0.262204i
$239$	20.2522	−	11.6926i	1.31001	−	0.756333i	0.327910	−	0.944709i	$-0.393656\pi$
$239$	20.2522	−	11.6926i	1.31001	−	0.756333i	0.982097	+	0.188376i	$0.0603225\pi$
$240$	−1.27603	+	0.220383i	−0.0823675	+	0.0142256i
$241$			15.0896i			0.972008i	0.873957	+	0.486004i	$0.161546\pi$
$241$			15.0896i			0.972008i	−0.873957	+	0.486004i	$0.838454\pi$
$242$	−2.73151	+	0.110302i	−0.175588	+	0.00709051i
$243$	0.746706	+	15.5706i	0.0479012	+	0.998852i
$244$	−1.82742	−	2.64654i	−0.116989	−	0.169427i
$245$	0.0217677	−	1.30816i	0.00139069	−	0.0835753i
$246$	−21.5596	+	13.9270i	−1.37459	+	0.887956i
$247$	22.8162			1.45176
$248$	−12.6038	−	5.36627i	−0.800341	−	0.340759i
$249$	2.58162	−	4.57214i	0.163604	−	0.289748i
$250$	−0.106279	−	2.63187i	−0.00672167	−	0.166454i
$251$			2.44518i			0.154338i	0.997018	+	0.0771692i	$0.0245882\pi$
$251$			2.44518i			0.154338i	−0.997018	+	0.0771692i	$0.975412\pi$
$252$	−1.45156	−	15.8080i	−0.0914399	−	0.995811i
$253$			6.72401i			0.422735i
$254$	−14.0360	+	0.566796i	−0.880698	+	0.0355639i
$255$	0.337238	+	0.571396i	0.0211187	+	0.0357822i
$256$	15.1732	−	5.07674i	0.948327	−	0.317296i
$257$	1.09087			0.0680468			0.0340234	−	0.999421i	$-0.489168\pi$
$257$	1.09087			0.0680468			0.0340234	+	0.999421i	$0.489168\pi$
$258$	−11.3272	+	22.0987i	−0.705199	+	1.37580i
$259$	2.06381	−	3.50692i	0.128239	−	0.217909i
$260$	1.15025	−	0.794242i	0.0713355	−	0.0492568i
$261$	10.6808	−	19.3469i	0.661126	−	1.19754i
$262$	−0.680982	−	16.8637i	−0.0420712	−	1.04184i
$263$			15.5707i			0.960130i	0.877233	+	0.480065i	$0.159387\pi$
$263$			15.5707i			0.960130i	−0.877233	+	0.480065i	$0.840613\pi$
$264$	2.29547	+	17.4678i	0.141276	+	1.07507i
$265$	−0.406612	+	0.234757i	−0.0249779	+	0.0144210i
$266$	20.1271	+	10.7759i	1.23407	+	0.660710i
$267$	−10.6968	−	6.03987i	−0.654635	−	0.369634i
$268$	8.34296	+	3.95709i	0.509627	+	0.241718i
$269$	25.2905	−	14.6015i	1.54199	−	0.890268i	0.543276	−	0.839554i	$-0.317184\pi$
$269$	25.2905	−	14.6015i	1.54199	−	0.890268i	0.998713	−	0.0507137i	$-0.0161496\pi$
$270$	−1.37019	+	0.0948470i	−0.0833874	+	0.00577220i
$271$	−8.67784	−	5.01015i	−0.527141	−	0.304345i	0.212710	−	0.977115i	$-0.431771\pi$
$271$	−8.67784	−	5.01015i	−0.527141	−	0.304345i	−0.739852	+	0.672770i	$0.765104\pi$
$272$	−5.18694	−	6.34856i	−0.314505	−	0.384938i
$273$	8.58672	+	14.8293i	0.519692	+	0.897509i
$274$	−1.01867	−	25.2262i	−0.0615402	−	1.52397i
$275$	−17.8556			−1.07674
$276$	6.45053	−	0.584092i	0.388276	−	0.0351582i
$277$		−	20.5041i		−	1.23197i	−0.787758	−	0.615985i	$-0.788758\pi$
$277$		−	20.5041i		−	1.23197i	0.787758	−	0.615985i	$-0.211242\pi$
$278$	−6.46950	−	10.2288i	−0.388015	−	0.613484i
$279$	−12.7199	−	7.02228i	−0.761521	−	0.420413i
$280$	1.38979	−	0.157380i	0.0830561	−	0.00940527i
$281$	−6.18481	−	3.57080i	−0.368955	−	0.213016i	0.304047	−	0.952657i	$-0.401662\pi$
$281$	−6.18481	−	3.57080i	−0.368955	−	0.213016i	−0.673002	+	0.739641i	$0.734995\pi$
$282$	6.83101	−	4.41268i	0.406781	−	0.262771i
$283$	−15.6998	+	27.1928i	−0.933254	+	1.61644i	−0.155536	+	0.987830i	$0.549710\pi$
$283$	−15.6998	+	27.1928i	−0.933254	+	1.61644i	−0.777718	+	0.628613i	$0.783623\pi$
$284$	1.67600	+	20.7182i	0.0994520	+	1.22940i
$285$	0.971202	−	1.72003i	0.0575291	−	0.101886i
$286$	−10.1658	−	16.0729i	−0.601114	−	0.950411i
$287$	24.1235	−	13.6614i	1.42397	−	0.806407i
$288$	16.5579	−	3.71947i	0.975686	−	0.219172i
$289$	6.39973	−	11.0847i	0.376455	−	0.652039i
$290$	1.72418	+	0.904736i	0.101247	+	0.0531279i
$291$	9.23351	−	16.3529i	0.541278	−	0.958622i
$292$	−19.2028	+	13.2594i	−1.12376	+	0.775950i
$293$	−9.92881	+	5.73240i	−0.580047	+	0.334890i	−0.761152	−	0.648573i	$-0.775366\pi$
$293$	−9.92881	+	5.73240i	−0.580047	+	0.334890i	0.181105	+	0.983464i	$0.442033\pi$
$294$	0.570958	+	17.1369i	0.0332989	+	0.999445i
$295$	0.295663	−	0.512104i	0.0172142	−	0.0298158i
$296$	4.00240	+	1.70409i	0.232635	+	0.0990483i
$297$	0.537200	+	18.6790i	0.0311715	+	1.08386i
$298$	−32.2564	+	1.30256i	−1.86856	+	0.0754555i
$299$	−6.05489	+	3.49579i	−0.350163	+	0.202167i
$300$	1.55106	+	17.1294i	0.0895504	+	0.988967i
$301$	13.6039	−	23.1164i	0.784115	−	1.33240i
$302$	12.1614	−	0.491097i	0.699812	−	0.0282595i
$303$	−28.0095	+	0.268449i	−1.60910	+	0.0154220i
$304$	−8.64711	+	22.8233i	−0.495946	+	1.30901i
$305$	0.260292	−	0.150280i	0.0149043	−	0.00860498i
$306$	−4.78799	−	7.25843i	−0.273711	−	0.414937i
$307$	10.2367			0.584239			0.292119	−	0.956382i	$-0.405640\pi$
$307$	10.2367			0.584239			0.292119	+	0.956382i	$0.405640\pi$
$308$	−1.37654	−	18.9797i	−0.0784356	−	1.08147i
$309$	14.5361	−	0.139317i	0.826928	−	0.00792545i
$310$	0.594834	−	1.13359i	0.0337843	−	0.0643836i
$311$	−4.93846	+	8.55367i	−0.280034	+	0.485034i	−0.971393	−	0.237478i	$-0.923679\pi$
$311$	−4.93846	+	8.55367i	−0.280034	+	0.485034i	0.691358	+	0.722512i	$0.257013\pi$
$312$	−14.5361	+	11.1485i	−0.822946	+	0.631159i
$313$	8.44869	−	4.87785i	0.477548	−	0.275713i	−0.241846	−	0.970315i	$-0.577753\pi$
$313$	8.44869	−	4.87785i	0.477548	−	0.275713i	0.719394	+	0.694602i	$0.244420\pi$
$314$	−1.63868	+	3.12287i	−0.0924761	+	0.176234i
$315$	1.48343	−	0.0160938i	0.0835820	−	0.000906784i
$316$	18.2690	+	26.4578i	1.02771	+	1.48837i
$317$	8.93174	+	15.4702i	0.501656	+	0.868894i	0.999998	+	0.00191357i	$0.000609107\pi$
$317$	8.93174	+	15.4702i	0.501656	+	0.868894i	−0.498342	+	0.866981i	$0.666058\pi$
$318$	5.16859	−	3.33880i	0.289840	−	0.187230i
$319$	13.2458	−	22.9424i	0.741622	−	1.28453i
$320$	0.358557	+	1.45162i	0.0200440	+	0.0811481i
$321$	7.26370	+	4.10139i	0.405420	+	0.228917i
$322$	−6.99228	+	0.224112i	−0.389665	+	0.0124893i
$323$	12.5054			0.695820
$324$	17.8726	−	2.13793i	0.992921	−	0.118774i
$325$	−9.28309	−	16.0788i	−0.514933	−	0.891890i
$326$	−2.24691	−	1.17903i	−0.124445	−	0.0653005i
$327$	−0.577365	−	0.978253i	−0.0319284	−	0.0540975i
$328$	17.8103	+	23.6890i	0.983410	+	1.30800i
$329$	−7.64336	+	4.32851i	−0.421392	+	0.238639i
$330$	−1.64440	+	0.0821954i	−0.0905212	+	0.00452471i
$331$	−23.8438	+	13.7662i	−1.31057	+	0.756659i	−0.982191	−	0.187887i	$-0.939836\pi$
$331$	−23.8438	+	13.7662i	−1.31057	+	0.756659i	−0.328380	+	0.944546i	$0.606503\pi$
$332$	−5.47798	−	2.59822i	−0.300643	−	0.142596i
$333$	4.03928	+	2.22997i	0.221351	+	0.122201i
$334$	−7.42264	−	11.7358i	−0.406149	−	0.642155i
$335$	−0.431464	+	0.747318i	−0.0235734	+	0.0408304i
$336$	−18.0882	+	2.96926i	−0.986793	+	0.161986i
$337$	−2.76289	−	4.78546i	−0.150504	−	0.260681i	0.780909	−	0.624645i	$-0.214756\pi$
$337$	−2.76289	−	4.78546i	−0.150504	−	0.260681i	−0.931413	+	0.363964i	$0.881423\pi$
$338$	0.645830	−	1.23077i	0.0351285	−	0.0669452i
$339$	12.2746	+	20.7973i	0.666664	+	1.12956i
$340$	0.630445	−	0.435319i	0.0341907	−	0.0236085i
$341$	−15.0839	−	8.70868i	−0.816837	−	0.471601i
$342$	−11.5868	+	23.1491i	−0.626544	+	1.25176i
$343$	0.462173	−	18.5145i	0.0249550	−	0.999689i
$344$	26.3824	+	11.2328i	1.42245	+	0.605630i
$345$	0.00580093	+	0.605260i	0.000312312	+	0.0325861i
$346$	−7.20558	+	4.55737i	−0.387374	+	0.245005i
$347$	5.00062	−	8.66132i	0.268447	−	0.464964i	−0.700014	−	0.714129i	$-0.746823\pi$
$347$	5.00062	−	8.66132i	0.268447	−	0.464964i	0.968461	+	0.249165i	$0.0801562\pi$
$348$	−23.1599	−	10.7141i	−1.24150	−	0.574338i
$349$	7.64270	−	13.2375i	0.409104	−	0.708590i	−0.585685	−	0.810539i	$-0.699175\pi$
$349$	7.64270	−	13.2375i	0.409104	−	0.708590i	0.994790	+	0.101949i	$0.0325079\pi$
$350$	−0.595131	−	18.5680i	−0.0318111	−	0.992504i
$351$	−16.5409	+	10.1949i	−0.882887	+	0.544162i
$352$	19.9307	−	4.07747i	1.06231	−	0.217330i
$353$	19.1127			1.01727			0.508633	−	0.860984i	$-0.330151\pi$
$353$	19.1127			1.01727			0.508633	+	0.860984i	$0.330151\pi$
$354$	−3.53492	+	6.89643i	−0.187879	+	0.366541i
$355$	−1.94250			−0.103097
$356$	−6.07871	+	12.8161i	−0.322171	+	0.679252i
$357$	4.70633	+	8.12784i	0.249085	+	0.430171i
$358$	−2.94838	−	4.66164i	−0.155827	−	0.246375i
$359$	−24.6224	−	14.2158i	−1.29952	−	0.750280i	−0.319201	−	0.947687i	$-0.603414\pi$
$359$	−24.6224	−	14.2158i	−1.29952	−	0.750280i	−0.980322	+	0.197408i	$0.936748\pi$
$360$	0.221696	+	1.57038i	0.0116844	+	0.0827662i
$361$	−9.11492	−	15.7875i	−0.479733	−	0.830922i
$362$	30.1642	−	1.21808i	1.58539	−	0.0640207i
$363$	0.0320876	+	3.34797i	0.00168416	+	0.175723i
$364$	16.3754	−	11.1071i	0.858302	−	0.582168i
$365$	−1.09040	−	1.88863i	−0.0570742	−	0.0988555i
$366$	−3.30867	+	2.13733i	−0.172947	+	0.111720i
$367$		−	3.34763i		−	0.174745i	−0.996176	−	0.0873723i	$-0.972153\pi$
$367$		−	3.34763i		−	0.174745i	0.996176	−	0.0873723i	$-0.0278470\pi$
$368$	−1.20214	−	7.38166i	−0.0626661	−	0.384796i
$369$	16.2365	+	26.9174i	0.845238	+	1.40127i
$370$	−0.188893	+	0.359978i	−0.00982008	+	0.0187144i
$371$	−5.78324	+	3.27511i	−0.300251	+	0.170035i
$372$	−7.04419	+	15.2269i	−0.365224	+	0.789476i
$373$		−	8.29655i		−	0.429579i	−0.976660	−	0.214790i	$-0.931093\pi$
$373$		−	8.29655i		−	0.429579i	0.976660	−	0.214790i	$-0.0689066\pi$
$374$	−5.57179	−	8.80946i	−0.288110	−	0.455526i
$375$	−3.22585	+	0.0309172i	−0.166582	+	0.00159656i
$376$	−5.64307	−	7.50568i	−0.291019	−	0.387076i
$377$	27.5458			1.41868
$378$	−19.4063	+	1.18121i	−0.998153	+	0.0607547i
$379$			3.07229i			0.157813i	0.996882	+	0.0789065i	$0.0251428\pi$
$379$			3.07229i			0.157813i	−0.996882	+	0.0789065i	$0.974857\pi$
$380$	−2.06081	−	0.977447i	−0.105717	−	0.0501420i
$381$	0.164884	+	17.2038i	0.00844728	+	0.881376i
$382$	13.6567	−	8.63758i	0.698739	−	0.441937i
$383$	−18.0529			−0.922461			−0.461231	−	0.887280i	$-0.652592\pi$
$383$	−18.0529			−0.922461			−0.461231	+	0.887280i	$0.652592\pi$
$384$	−5.64294	−	18.7659i	−0.287965	−	0.957641i
$385$	1.77831	+	0.0147945i	0.0906311	+	0.000753996i
$386$	11.8475	−	22.5780i	0.603020	−	1.14919i
$387$	26.6255	+	14.6992i	1.35345	+	0.747200i
$388$	−19.5927	−	9.29288i	−0.994669	−	0.471775i
$389$	36.2329			1.83708			0.918541	−	0.395325i	$-0.129368\pi$
$389$	36.2329			1.83708			0.918541	+	0.395325i	$0.129368\pi$
$390$	−0.928934	−	1.43803i	−0.0470384	−	0.0728174i
$391$	−3.31865	+	1.91602i	−0.167831	+	0.0968974i
$392$	19.6911	−	2.06406i	0.994551	−	0.104251i
$393$	−20.6696	+	0.198102i	−1.04264	+	0.00999290i
$394$	2.87563	−	0.116122i	0.144872	−	0.00585015i
$395$	−2.60217	+	1.50236i	−0.130929	+	0.0755922i
$396$	21.4700	−	2.15173i	1.07891	−	0.108129i
$397$	−5.22076	+	9.04263i	−0.262023	+	0.453836i	−0.966779	−	0.255613i	$-0.917723\pi$
$397$	−5.22076	+	9.04263i	−0.262023	+	0.453836i	0.704757	+	0.709449i	$0.251056\pi$
$398$	22.0114	−	13.9217i	1.10333	−	0.697833i
$399$	13.9499	−	24.2327i	0.698371	−	1.21315i
$400$	19.6020	−	3.19230i	0.980101	−	0.159615i
$401$		−	37.5317i		−	1.87424i	−0.349003	−	0.937122i	$-0.613480\pi$
$401$		−	37.5317i		−	1.87424i	0.349003	−	0.937122i	$-0.386520\pi$
$402$	5.15855	−	10.0640i	0.257285	−	0.501948i
$403$		−	18.1105i		−	0.902146i
$404$	2.60795	+	32.2388i	0.129751	+	1.60394i
$405$	0.0644706	+	1.68092i	0.00320357	+	0.0835255i
$406$	24.2992	+	13.0096i	1.20595	+	0.645656i
$407$	4.78997	+	2.76549i	0.237430	+	0.137080i
$408$	−7.96716	+	6.11042i	−0.394433	+	0.302511i
$409$	−11.4181	−	6.59222i	−0.564587	−	0.325965i	0.190397	−	0.981707i	$-0.439022\pi$
$409$	−11.4181	−	6.59222i	−0.564587	−	0.325965i	−0.754985	+	0.655743i	$0.772356\pi$
$410$	−2.34080	+	1.48051i	−0.115604	+	0.0731170i
$411$	−30.9194	+	0.296338i	−1.52514	+	0.0146173i
$412$	−1.35345	−	16.7309i	−0.0666796	−	0.824274i
$413$	4.24543	−	7.21403i	0.208904	−	0.354979i
$414$	−0.471927	−	7.91853i	−0.0231939	−	0.389174i
$415$	0.283299	−	0.490688i	0.0139066	−	0.0240869i
$416$	14.0336	+	15.8275i	0.688054	+	0.776005i
$417$	−12.7656	+	7.53424i	−0.625133	+	0.368953i
$418$	−14.4191	+	27.4787i	−0.705259	+	1.34403i
$419$	−23.1171	+	13.3467i	−1.12935	+	0.652028i	−0.943770	−	0.330601i	$-0.892748\pi$
$419$	−23.1171	+	13.3467i	−1.12935	+	0.652028i	−0.185576	+	0.982630i	$0.559415\pi$
$420$	−0.140283	−	1.70727i	−0.00684511	−	0.0833062i
$421$	19.5174	+	11.2684i	0.951221	+	0.549188i	0.893460	−	0.449143i	$-0.148271\pi$
$421$	19.5174	+	11.2684i	0.951221	+	0.549188i	0.0577610	+	0.998330i	$0.481604\pi$
$422$	−15.5663	+	9.84534i	−0.757756	+	0.479263i
$423$	−5.14441	−	8.52859i	−0.250130	−	0.414674i
$424$	−4.26975	−	5.67907i	−0.207357	−	0.275800i
$425$	−5.08800	−	8.81268i	−0.246804	−	0.427478i
$426$	25.4256	−	1.27090i	1.23188	−	0.0615754i
$427$	3.70214	−	2.09656i	0.179159	−	0.101460i
$428$	4.12776	−	8.70279i	0.199523	−	0.420665i
$429$	−20.0590	+	11.8388i	−0.968458	+	0.571584i
$430$	−1.24512	+	2.37285i	−0.0600448	+	0.114429i
$431$	−4.62836	+	2.67218i	−0.222940	+	0.128715i	−0.607311	−	0.794464i	$-0.707752\pi$
$431$	−4.62836	+	2.67218i	−0.222940	+	0.128715i	0.384371	+	0.923179i	$0.374418\pi$
$432$	−3.92924	−	20.4098i	−0.189046	−	0.981968i
$433$		−	34.2107i		−	1.64406i	−0.569444	−	0.822030i	$-0.692841\pi$
$433$		−	34.2107i		−	1.64406i	0.569444	−	0.822030i	$-0.307159\pi$
$434$	8.55339	−	15.9759i	0.410576	−	0.766870i
$435$	1.17252	−	2.07658i	0.0562182	−	0.0995645i
$436$	−1.07935	+	0.745284i	−0.0516914	+	0.0356926i
$437$	9.87994	+	5.70419i	0.472622	+	0.272868i
$438$	15.5081	+	24.0071i	0.741003	+	1.14710i
$439$	7.24745	−	4.18432i	0.345902	−	0.199707i	−0.316977	−	0.948433i	$-0.602668\pi$
$439$	7.24745	−	4.18432i	0.345902	−	0.199707i	0.662879	+	0.748727i	$0.269334\pi$
$440$	0.229628	+	1.88724i	0.0109471	+	0.0899707i
$441$	20.9999	−	0.0531175i	0.999997	−	0.00252940i
$442$	5.03606	−	9.59734i	0.239541	−	0.456499i
$443$	−3.92966	−	6.80637i	−0.186704	−	0.323380i	0.757446	−	0.652898i	$-0.226447\pi$
$443$	−3.92966	−	6.80637i	−0.186704	−	0.323380i	−0.944149	+	0.329518i	$0.893114\pi$
$444$	2.23692	−	4.83538i	0.106160	−	0.229477i
$445$	−1.14800	−	0.662797i	−0.0544203	−	0.0314196i
$446$	26.1496	+	13.7216i	1.23822	+	0.649737i
$447$	0.378923	+	39.5363i	0.0179225	+	1.87000i
$448$	4.90444	+	20.5900i	0.231713	+	0.972784i
$449$			15.6275i			0.737506i	0.929527	+	0.368753i	$0.120215\pi$
$449$			15.6275i			0.737506i	−0.929527	+	0.368753i	$0.879785\pi$
$450$	21.0277	−	1.25320i	0.991254	−	0.0590766i
$451$	18.8415	+	32.6344i	0.887211	+	1.53669i
$452$	22.9466	−	15.8445i	1.07932	−	0.745262i
$453$	−0.142863	−	14.9061i	−0.00671230	−	0.700350i
$454$	−0.119531	−	2.96004i	−0.00560986	−	0.138921i
$455$	0.911216	+	1.60904i	0.0427185	+	0.0754329i
$456$	27.6137	+	11.4456i	1.29313	+	0.535990i
$457$	15.2660	+	26.4415i	0.714114	+	1.23688i	0.963300	+	0.268427i	$0.0865037\pi$
$457$	15.2660	+	26.4415i	0.714114	+	1.23688i	−0.249186	+	0.968456i	$0.580163\pi$
$458$	−21.0192	+	0.848789i	−0.982165	+	0.0396613i
$459$	−9.06596	+	5.58775i	−0.423163	+	0.260814i
$460$	0.696651	−	0.0563555i	0.0324815	−	0.00262759i
$461$	−9.28126	−	5.35854i	−0.432271	−	0.249572i	0.268042	−	0.963407i	$-0.413623\pi$
$461$	−9.28126	−	5.35854i	−0.432271	−	0.249572i	−0.700314	+	0.713835i	$0.746957\pi$
$462$	−23.2862	+	0.969832i	−1.08337	+	0.0451207i
$463$	−1.09777	−	1.90140i	−0.0510179	−	0.0883656i	0.839389	−	0.543532i	$-0.182913\pi$
$463$	−1.09777	−	1.90140i	−0.0510179	−	0.0883656i	−0.890407	+	0.455166i	$0.849580\pi$
$464$	−10.4396	+	27.5544i	−0.484646	+	1.27918i
$465$	−1.36528	−	0.770896i	−0.0633135	−	0.0357494i
$466$	3.41571	+	1.79234i	0.158230	+	0.0830286i
$467$	−17.5040	−	10.1059i	−0.809988	−	0.467647i	0.0369639	−	0.999317i	$-0.488231\pi$
$467$	−17.5040	−	10.1059i	−0.809988	−	0.467647i	−0.846952	+	0.531670i	$0.821565\pi$
$468$	13.0998	+	18.2148i	0.605537	+	0.841978i
$469$	−6.19539	+	10.5275i	−0.286077	+	0.486115i
$470$	0.741666	−	0.469087i	0.0342105	−	0.0216374i
$471$	3.76116	+	2.12370i	0.173305	+	0.0978552i
$472$	8.23329	+	3.50546i	0.378968	+	0.161352i
$473$	31.5738	+	18.2291i	1.45176	+	0.838177i
$474$	33.0772	−	21.3671i	1.51929	−	0.981425i
$475$	−15.1475	+	26.2362i	−0.695015	+	1.20380i
$476$	8.97523	−	6.08771i	0.411379	−	0.279030i
$477$	−3.89245	−	6.45304i	−0.178223	−	0.295464i
$478$	−27.9504	+	17.6780i	−1.27842	+	0.808574i
$479$	−37.0838			−1.69440			−0.847201	−	0.531272i	$-0.821714\pi$
$479$	−37.0838			−1.69440			−0.847201	+	0.531272i	$0.821714\pi$
$480$	1.79054	−	0.384227i	0.0817264	−	0.0175375i
$481$			5.75108i			0.262227i
$482$	−0.861038	−	21.3226i	−0.0392192	−	0.971217i
$483$	0.0108362	+	8.56816i	0.000493063	+	0.389865i
$484$	3.85349	−	0.311728i	0.175159	−	0.0141695i
$485$	1.01326	−	1.75501i	0.0460096	−	0.0796910i
$486$	−1.94362	−	21.9596i	−0.0881645	−	0.996106i
$487$	16.0989	+	27.8840i	0.729509	+	1.26355i	0.957091	+	0.289788i	$0.0935848\pi$
$487$	16.0989	+	27.8840i	0.729509	+	1.26355i	−0.227582	+	0.973759i	$0.573082\pi$
$488$	2.73328	+	3.63545i	0.123730	+	0.164569i
$489$	−1.52801	+	2.70615i	−0.0690988	+	0.122376i
$490$	0.0438866	+	1.84975i	0.00198260	+	0.0835634i
$491$	−4.44228	−	7.69425i	−0.200477	−	0.347237i	0.748205	−	0.663467i	$-0.230916\pi$
$491$	−4.44228	−	7.69425i	−0.200477	−	0.347237i	−0.948682	+	0.316231i	$0.897583\pi$
$492$	29.6704	−	20.9100i	1.33765	−	0.942696i
$493$	15.0977			0.679965
$494$	−32.2407	+	1.30193i	−1.45058	+	0.0585765i
$495$	0.0386492	+	2.01611i	0.00173715	+	0.0906176i
$496$	18.1161	+	6.86368i	0.813438	+	0.308188i
$497$	−27.4961	−	0.228751i	−1.23337	−	0.0102609i
$498$	−3.38710	+	6.60803i	−0.151779	+	0.296113i
$499$			11.2657i			0.504320i	0.967686	+	0.252160i	$0.0811409\pi$
$499$			11.2657i			0.504320i	−0.967686	+	0.252160i	$0.918859\pi$
$500$	0.300358	+	3.71293i	0.0134324	+	0.166047i
$501$	−14.6463	+	8.64425i	−0.654349	+	0.386197i
$502$	−0.139526	−	3.45519i	−0.00622735	−	0.154213i
$503$	7.35421			0.327908			0.163954	−	0.986468i	$-0.447575\pi$
$503$	7.35421			0.327908			0.163954	+	0.986468i	$0.447575\pi$
$504$	2.95318	+	22.2549i	0.131545	+	0.991310i
$505$	−3.02265			−0.134506
$506$	−0.383683	−	9.50144i	−0.0170568	−	0.422391i
$507$	−1.48233	−	0.836985i	−0.0658326	−	0.0371718i
$508$	19.8014	−	1.60184i	0.878546	−	0.0710700i
$509$		−	20.4616i		−	0.906947i	−0.891270	−	0.453473i	$-0.850185\pi$
$509$		−	20.4616i		−	0.906947i	0.891270	−	0.453473i	$-0.149815\pi$
$510$	−0.509143	−	0.788174i	−0.0225452	−	0.0349010i
$511$	−15.2123	−	26.8620i	−0.672951	−	1.18831i
$512$	−21.1510	+	8.03955i	−0.934752	+	0.355301i
$513$	27.9017	+	15.0566i	1.23189	+	0.664765i
$514$	−1.54147	+	0.0622469i	−0.0679914	+	0.00274559i
$515$	1.56866			0.0691236
$516$	14.7450	−	31.8731i	0.649113	−	1.40314i
$517$	−5.96979	−	10.3400i	−0.262551	−	0.454752i
$518$	−2.71618	+	5.07325i	−0.119342	+	0.222906i
$519$	5.30741	+	8.99257i	0.232970	+	0.394730i
$520$	−1.58005	+	1.18795i	−0.0692900	+	0.0520950i
$521$	−0.229817	−	0.398055i	−0.0100685	−	0.0174391i	0.860947	−	0.508694i	$-0.169872\pi$
$521$	−0.229817	−	0.398055i	−0.0100685	−	0.0174391i	−0.871016	+	0.491255i	$0.836538\pi$
$522$	−13.9887	+	27.9478i	−0.612268	+	1.22324i
$523$	12.5802	−	21.7895i	0.550092	−	0.952787i	−0.448176	−	0.893946i	$-0.647926\pi$
$523$	12.5802	−	21.7895i	0.550092	−	0.952787i	0.998267	−	0.0588414i	$-0.0187406\pi$
$524$	1.92454	+	23.7906i	0.0840738	+	1.03930i
$525$	−22.7528	+	0.0287755i	−0.993012	+	0.00125587i
$526$	−0.888488	−	22.0024i	−0.0387399	−	0.959348i
$527$		−	9.92623i		−	0.432393i
$528$	−4.24038	−	24.5521i	−0.184539	−	1.06849i
$529$	19.5041			0.848005
$530$	0.561172	−	0.354928i	0.0243757	−	0.0154171i
$531$	8.30915	+	4.58723i	0.360586	+	0.199069i
$532$	−29.0557	−	14.0785i	−1.25972	−	0.610379i
$533$	−19.5913	+	33.9331i	−0.848592	+	1.46980i
$534$	15.4599	+	7.92434i	0.669016	+	0.342920i
$535$	0.779550	+	0.450073i	0.0337029	+	0.0194584i
$536$	−12.0149	−	5.11555i	−0.518965	−	0.220958i
$537$	−5.81773	+	3.43363i	−0.251054	+	0.148172i
$538$	−34.9039	+	22.0759i	−1.50481	+	0.951760i
$539$	25.1703	+	0.418832i	1.08416	+	0.0180404i
$540$	1.93076	−	0.212210i	0.0830866	−	0.00913207i
$541$	5.88606	+	3.39832i	0.253061	+	0.146105i	0.621165	−	0.783680i	$-0.286660\pi$
$541$	5.88606	+	3.39832i	0.253061	+	0.146105i	−0.368104	+	0.929785i	$0.619993\pi$
$542$	12.5482	+	6.58449i	0.538992	+	0.282828i
$543$	−0.354346	−	36.9719i	−0.0152064	−	1.58661i
$544$	7.69173	+	8.67493i	0.329780	+	0.371935i
$545$	−0.0612890	−	0.106156i	−0.00262533	−	0.00454721i
$546$	−12.9797	−	20.4647i	−0.555482	−	0.875809i
$547$	−15.2713	−	8.81688i	−0.652953	−	0.376982i	0.136634	−	0.990622i	$-0.456372\pi$
$547$	−15.2713	−	8.81688i	−0.652953	−	0.376982i	−0.789587	+	0.613639i	$0.789705\pi$
$548$	2.87889	+	35.5880i	0.122980	+	1.52025i
$549$	2.49175	+	4.13091i	0.106345	+	0.176303i
$550$	25.2311	−	1.01887i	1.07586	−	0.0434448i
$551$	−22.4736	−	38.9255i	−0.957409	−	1.65828i
$552$	−9.08167	+	1.19344i	−0.386542	+	0.0507960i
$553$	−37.0107	+	20.9596i	−1.57386	+	0.891292i
$554$	1.16999	+	28.9735i	0.0497083	+	1.23097i
$555$	0.433554	+	0.244803i	0.0184033	+	0.0103913i
$556$	9.72547	+	14.0848i	0.412452	+	0.597328i
$557$	−3.82739	−	6.62923i	−0.162172	−	0.280890i	0.773476	−	0.633826i	$-0.218517\pi$
$557$	−3.82739	−	6.62923i	−0.162172	−	0.280890i	−0.935647	+	0.352936i	$0.885183\pi$
$558$	18.3747	+	9.19710i	0.777864	+	0.389344i
$559$			37.9091i			1.60338i
$560$	−1.95488	+	0.301692i	−0.0826090	+	0.0127488i
$561$	−10.9942	+	6.48879i	−0.464176	+	0.273957i
$562$	8.94328	+	4.69285i	0.377249	+	0.197956i
$563$	−18.8004	−	10.8544i	−0.792344	−	0.457460i	0.0484429	−	0.998826i	$-0.484574\pi$
$563$	−18.8004	−	10.8544i	−0.792344	−	0.457460i	−0.840787	+	0.541366i	$0.817907\pi$
$564$	−9.40085	+	6.62518i	−0.395847	+	0.278970i
$565$	1.30298	+	2.25684i	0.0548170	+	0.0949458i
$566$	20.6331	−	39.3209i	0.867273	−	1.65278i
$567$	0.714637	+	23.8010i	0.0300119	+	0.999550i
$568$	−3.55050	−	29.1804i	−0.148976	−	1.22438i
$569$	−16.7992	+	9.69902i	−0.704259	+	0.406604i	−0.808932	−	0.587902i	$-0.799954\pi$
$569$	−16.7992	+	9.69902i	−0.704259	+	0.406604i	0.104673	+	0.994507i	$0.466621\pi$
$570$	−1.27422	+	2.48593i	−0.0533712	+	0.104124i
$571$	−2.56564	−	1.48127i	−0.107369	−	0.0619893i	0.445354	−	0.895355i	$-0.353078\pi$
$571$	−2.56564	−	1.48127i	−0.107369	−	0.0619893i	−0.552723	+	0.833365i	$0.686411\pi$
$572$	15.2820	+	22.1319i	0.638972	+	0.925383i
$573$	−10.0591	−	17.0436i	−0.420227	−	0.712007i
$574$	−33.3085	+	20.6809i	−1.39027	+	0.863206i
$575$		−	9.28331i		−	0.387141i
$576$	−23.1852	+	6.20067i	−0.966048	+	0.258361i
$577$	20.7429	−	11.9759i	0.863536	−	0.498563i	−0.00165862	−	0.999999i	$-0.500528\pi$
$577$	20.7429	−	11.9759i	0.863536	−	0.498563i	0.865195	+	0.501436i	$0.167195\pi$
$578$	−8.41071	+	16.0285i	−0.349839	+	0.666697i
$579$	−27.1927	−	15.3541i	−1.13009	−	0.638096i
$580$	−2.48800	−	1.18006i	−0.103308	−	0.0489995i
$581$	4.06789	−	6.91235i	0.168765	−	0.286772i
$582$	−12.1144	+	23.6345i	−0.502158	+	0.979681i
$583$	−4.51696	−	7.82360i	−0.187073	−	0.324020i
$584$	26.3782	−	19.8321i	1.09154	−	0.820660i
$585$	−1.79539	+	1.08297i	−0.0742303	+	0.0447755i
$586$	13.7029	−	8.66679i	0.566062	−	0.358022i
$587$	16.4199	+	9.48005i	0.677723	+	0.391283i	0.798997	−	0.601336i	$-0.205365\pi$
$587$	16.4199	+	9.48005i	0.677723	+	0.391283i	−0.121274	+	0.992619i	$0.538698\pi$
$588$	−1.78466	−	24.1829i	−0.0735981	−	0.997288i
$589$	−25.5922	+	14.7757i	−1.05451	+	0.608821i
$590$	−0.388569	+	0.740506i	−0.0159971	+	0.0304861i
$591$	−0.0337806	−	3.52462i	−0.00138955	−	0.144983i
$592$	−5.75288	−	2.17960i	−0.236442	−	0.0895811i
$593$	−10.0275	+	17.3681i	−0.411779	+	0.713223i	−0.995084	−	0.0990304i	$-0.968426\pi$
$593$	−10.0275	+	17.3681i	−0.411779	+	0.713223i	0.583305	+	0.812253i	$0.301759\pi$
$594$	−1.82495	−	26.3639i	−0.0748785	−	1.08172i
$595$	0.499432	+	0.881904i	0.0204747	+	0.0361545i
$596$	45.5060	−	3.68121i	1.86400	−	0.150788i
$597$	−16.2130	−	27.4703i	−0.663552	−	1.12428i
$598$	8.35646	−	5.28527i	0.341721	−	0.216131i
$599$	13.3528	+	7.70924i	0.545580	+	0.314991i	0.747337	−	0.664445i	$-0.231332\pi$
$599$	13.3528	+	7.70924i	0.545580	+	0.314991i	−0.201757	+	0.979436i	$0.564665\pi$
$600$	−3.16917	−	24.1164i	−0.129381	−	0.984549i
$601$	−1.22512	−	0.707326i	−0.0499739	−	0.0288524i	0.474805	−	0.880091i	$-0.342519\pi$
$601$	−1.22512	−	0.707326i	−0.0499739	−	0.0288524i	−0.524779	+	0.851239i	$0.675852\pi$
$602$	−17.9041	+	33.4411i	−0.729716	+	1.36296i
$603$	−12.1256	−	6.69419i	−0.493794	−	0.272609i
$604$	−17.1568	+	1.38790i	−0.698102	+	0.0564729i
$605$			0.361297i			0.0146888i
$606$	39.5638	−	1.97760i	1.60717	−	0.0803346i
$607$		−	37.6846i		−	1.52957i	−0.644285	−	0.764785i	$-0.722845\pi$
$607$		−	37.6846i		−	1.52957i	0.644285	−	0.764785i	$-0.277155\pi$
$608$	10.9166	−	32.7442i	0.442725	−	1.32795i
$609$	16.8417	−	29.2560i	0.682458	−	1.18551i
$610$	−0.359233	+	0.227207i	−0.0145449	+	0.00919934i
$611$	6.20735	−	10.7514i	0.251122	−	0.434957i
$612$	7.17991	+	9.98340i	0.290230	+	0.403555i
$613$	5.53531	−	3.19581i	0.223569	−	0.129078i	−0.384033	−	0.923319i	$-0.625465\pi$
$613$	5.53531	−	3.19581i	0.223569	−	0.129078i	0.607602	+	0.794242i	$0.292132\pi$
$614$	−14.4651	+	0.584122i	−0.583763	+	0.0235732i
$615$	1.72417	+	2.92132i	0.0695251	+	0.117799i
$616$	3.02815	+	26.7410i	0.122008	+	1.07743i
$617$	−31.7666	+	18.3405i	−1.27888	+	0.738359i	−0.976642	−	0.214875i	$-0.931066\pi$
$617$	−31.7666	+	18.3405i	−1.27888	+	0.738359i	−0.302234	+	0.953234i	$0.597732\pi$
$618$	−20.5324	+	1.02631i	−0.825935	+	0.0412844i
$619$	29.4101			1.18209			0.591045	−	0.806638i	$-0.298715\pi$
$619$	29.4101			1.18209			0.591045	+	0.806638i	$0.298715\pi$
$620$	−0.775853	+	1.63577i	−0.0311590	+	0.0656943i
$621$	−9.71137	+	0.279296i	−0.389704	+	0.0112077i
$622$	6.49027	−	12.3687i	0.260236	−	0.495938i
$623$	−16.1719	−	9.51710i	−0.647913	−	0.381294i
$624$	19.9043	−	16.5830i	0.796810	−	0.663850i
$625$	24.4772			0.979088
$626$	−11.6602	+	7.37481i	−0.466035	+	0.294757i
$627$	33.0951	+	18.6869i	1.32169	+	0.746282i
$628$	2.13736	−	4.50632i	0.0852900	−	0.179822i
$629$			3.15213i			0.125684i
$630$	−2.09526	+	0.107389i	−0.0834773	+	0.00427847i
$631$	19.7989			0.788183			0.394092	−	0.919071i	$-0.371059\pi$
$631$	19.7989			0.788183			0.394092	+	0.919071i	$0.371059\pi$
$632$	−27.3249	−	36.3441i	−1.08693	−	1.44569i
$633$	11.4657	+	19.4268i	0.455720	+	0.772144i
$634$	−13.5039	−	21.3507i	−0.536306	−	0.847945i
$635$			1.85655i			0.0736749i
$636$	−7.11303	+	5.01285i	−0.282050	+	0.198773i
$637$	12.7088	+	22.8833i	0.503541	+	0.906669i
$638$	−17.4080	+	33.1749i	−0.689190	+	1.31341i
$639$	−0.597592	−	31.1730i	−0.0236404	−	1.23319i
$640$	−0.589495	−	2.03077i	−0.0233019	−	0.0802733i
$641$		−	19.2306i		−	0.759564i	−0.925076	−	0.379782i	$-0.875999\pi$
$641$		−	19.2306i		−	0.759564i	0.925076	−	0.379782i	$-0.124001\pi$
$642$	−10.4981	−	5.38104i	−0.414327	−	0.212373i
$643$	−21.0103	−	36.3910i	−0.828567	−	1.43512i	−0.899162	−	0.437615i	$-0.855823\pi$
$643$	−21.0103	−	36.3910i	−0.828567	−	1.43512i	0.0705951	−	0.997505i	$-0.477510\pi$
$644$	9.86774	−	0.715675i	0.388844	−	0.0282016i
$645$	2.85783	+	1.61365i	0.112527	+	0.0635375i
$646$	−17.6709	+	0.713579i	−0.695253	+	0.0280754i
$647$	−10.0641	−	17.4315i	−0.395659	−	0.685302i	0.597526	−	0.801850i	$-0.296151\pi$
$647$	−10.0641	−	17.4315i	−0.395659	−	0.685302i	−0.993185	+	0.116548i	$0.962817\pi$
$648$	−25.1331	+	4.04086i	−0.987320	+	0.158740i
$649$	9.85338	+	5.68885i	0.386779	+	0.223307i
$650$	14.0351	+	22.1906i	0.550500	+	0.870387i
$651$	−19.2348	−	11.0728i	−0.753873	−	0.433979i
$652$	3.24230	+	1.53783i	0.126978	+	0.0602261i
$653$	−39.5344			−1.54710			−0.773551	−	0.633734i	$-0.781521\pi$
$653$	−39.5344			−1.54710			−0.773551	+	0.633734i	$0.781521\pi$
$654$	0.871673	+	1.34939i	0.0340851	+	0.0527652i
$655$	−2.23056			−0.0871554
$656$	−26.5188	−	32.4577i	−1.03539	−	1.26726i
$657$	29.9731	−	18.0797i	1.16936	−	0.705355i
$658$	10.5535	−	6.55260i	0.411420	−	0.255447i
$659$	0.351137	−	0.608186i	0.0136783	−	0.0236916i	−0.859105	−	0.511799i	$-0.828979\pi$
$659$	0.351137	−	0.608186i	0.0136783	−	0.0236916i	0.872784	+	0.488107i	$0.162313\pi$
$660$	2.31895	−	0.209979i	0.0902649	−	0.00817343i
$661$	−14.0909	+	24.4062i	−0.548073	+	0.949290i	0.450334	+	0.892860i	$0.351305\pi$
$661$	−14.0909	+	24.4062i	−0.548073	+	0.949290i	−0.998407	+	0.0564298i	$0.982028\pi$
$662$	32.9072	−	20.8130i	1.27897	−	0.808922i
$663$	−11.5589	−	6.52665i	−0.448912	−	0.253474i
$664$	7.88898	+	3.35887i	0.306152	+	0.130349i
$665$	1.53033	−	2.60041i	0.0593438	−	0.100840i
$666$	−5.83500	−	2.92059i	−0.226102	−	0.113171i
$667$	11.9280	+	6.88662i	0.461853	+	0.266651i
$668$	11.1583	+	16.1599i	0.431728	+	0.625245i
$669$	17.7830	−	31.4943i	0.687530	−	1.21764i
$670$	0.567043	−	1.08063i	0.0219068	−	0.0417483i
$671$	2.89153	+	5.00827i	0.111626	+	0.193342i
$672$	25.3903	−	5.22788i	0.979454	−	0.201670i
$673$	16.0280	−	27.7613i	0.617833	−	1.07012i	−0.372047	−	0.928214i	$-0.621344\pi$
$673$	16.0280	−	27.7613i	0.617833	−	1.07012i	0.989880	−	0.141905i	$-0.0453226\pi$
$674$	4.17720	+	6.60450i	0.160900	+	0.254396i
$675$	−0.741670	−	25.7886i	−0.0285469	−	0.992603i
$676$	−0.842367	+	1.77601i	−0.0323987	+	0.0683081i
$677$	18.5817	−	10.7282i	0.714154	−	0.412317i	−0.0984430	−	0.995143i	$-0.531386\pi$
$677$	18.5817	−	10.7282i	0.714154	−	0.412317i	0.812597	+	0.582825i	$0.198053\pi$
$678$	−18.5315	−	28.6875i	−0.711697	−	1.10174i
$679$	14.5493	−	24.7229i	0.558353	−	0.948778i
$680$	−0.866018	+	0.651107i	−0.0332103	+	0.0249688i
$681$	−3.62808	+	0.0347722i	−0.139028	+	0.00133248i
$682$	21.8114	+	11.4452i	0.835201	+	0.438259i
$683$	−14.3033	−	24.7740i	−0.547300	−	0.947951i	−0.998458	−	0.0555074i	$-0.982322\pi$
$683$	−14.3033	−	24.7740i	−0.547300	−	0.947951i	0.451158	−	0.892444i	$-0.351011\pi$
$684$	15.0520	−	33.3723i	0.575527	−	1.27602i
$685$	−3.33667			−0.127488
$686$	0.403387	+	26.1885i	0.0154014	+	0.999881i
$687$	0.246918	+	25.7630i	0.00942050	+	0.982920i
$688$	−37.9210	−	14.3672i	−1.44572	−	0.547743i
$689$	4.69670	−	8.13493i	0.178930	−	0.309916i
$690$	−0.0427342	−	0.854939i	−0.00162686	−	0.0325470i
$691$	22.0930	+	38.2662i	0.840458	+	1.45572i	0.889508	+	0.456920i	$0.151047\pi$
$691$	22.0930	+	38.2662i	0.840458	+	1.45572i	−0.0490495	+	0.998796i	$0.515619\pi$
$692$	9.92188	−	6.85100i	0.377173	−	0.260436i
$693$	0.309661	+	28.5427i	0.0117630	+	1.08425i
$694$	−6.57195	+	12.5243i	−0.249468	+	0.475417i
$695$	−1.38526	+	0.799783i	−0.0525461	+	0.0303375i
$696$	33.3377	+	13.8182i	1.26366	+	0.523778i
$697$	−10.7378	+	18.5985i	−0.406725	+	0.704468i
$698$	−10.0443	+	19.1416i	−0.380181	+	0.724519i
$699$	2.32285	−	4.11384i	0.0878582	−	0.155600i
$700$	1.90048	+	26.2038i	0.0718314	+	0.990412i
$701$	18.1914			0.687078			0.343539	−	0.939138i	$-0.388374\pi$
$701$	18.1914			0.687078			0.343539	+	0.939138i	$0.388374\pi$
$702$	22.7916	−	15.3498i	0.860212	−	0.579342i
$703$	8.12696	−	4.69210i	0.306514	−	0.176966i
$704$	−27.9306	+	6.89899i	−1.05267	+	0.260015i
$705$	−0.546289	−	0.925600i	−0.0205744	−	0.0348601i
$706$	−27.0074	+	1.09060i	−1.01644	+	0.0410453i
$707$	−42.7857	−	0.355951i	−1.60912	−	0.0133869i
$708$	4.60154	−	9.94679i	0.172937	−	0.373823i
$709$	−8.37452	+	4.83503i	−0.314512	+	0.181583i	−0.648944	−	0.760837i	$-0.724789\pi$
$709$	−8.37452	+	4.83503i	−0.314512	+	0.181583i	0.334432	+	0.942420i	$0.391456\pi$
$710$	2.74487	−	0.110842i	0.103013	−	0.00415983i
$711$	−24.9103	−	41.2972i	−0.934210	−	1.54877i
$712$	7.85829	−	18.4568i	0.294502	−	0.691698i
$713$	4.52772	−	7.84225i	0.169565	−	0.293694i
$714$	−7.11412	−	11.2166i	−0.266239	−	0.419770i
$715$	−2.17672	+	1.25673i	−0.0814046	+	0.0469989i
$716$	4.43225	+	6.41895i	0.165641	+	0.239887i
$717$	20.5875	+	34.8822i	0.768853	+	1.30270i
$718$	35.6042	+	18.6828i	1.32874	+	0.697235i
$719$	−18.9102	+	32.7535i	−0.705233	+	1.22150i	0.261375	+	0.965237i	$0.415824\pi$
$719$	−18.9102	+	32.7535i	−0.705233	+	1.22150i	−0.966608	+	0.256261i	$0.917509\pi$
$720$	−0.402878	−	2.20639i	−0.0150144	−	0.0822274i
$721$	22.2045	+	0.184728i	0.826938	+	0.00687962i
$722$	13.7808	+	21.7886i	0.512869	+	0.810889i
$723$	−26.1348	+	0.250481i	−0.971963	+	0.00931549i
$724$	−42.5544	+	3.44243i	−1.58152	+	0.127937i
$725$	−18.2874	+	31.6748i	−0.679178	+	1.17637i
$726$	−0.236382	−	4.72906i	−0.00877297	−	0.175512i
$727$	−25.0543	−	14.4651i	−0.929213	−	0.536482i	−0.0426506	−	0.999090i	$-0.513580\pi$
$727$	−25.0543	−	14.4651i	−0.929213	−	0.536482i	−0.886563	+	0.462608i	$0.846914\pi$
$728$	−22.5056	+	16.6294i	−0.834113	+	0.616325i
$729$	−26.9554	+	1.55174i	−0.998347	+	0.0574718i
$730$	1.64857	+	2.60653i	0.0610164	+	0.0964721i
$731$			20.7777i			0.768492i
$732$	4.55340	−	3.20897i	0.168298	−	0.118607i
$733$	19.7353			0.728941			0.364471	−	0.931215i	$-0.381250\pi$
$733$	19.7353			0.728941			0.364471	+	0.931215i	$0.381250\pi$
$734$	0.191021	+	4.73040i	0.00705071	+	0.174602i
$735$	2.26606	+	0.0159862i	0.0835848	+	0.000589659i
$736$	2.11991	+	10.3621i	0.0781411	+	0.381954i
$737$	−14.3791	−	8.30179i	−0.529662	−	0.305801i
$738$	−24.4791	−	37.1095i	−0.901089	−	1.36602i
$739$	−37.9102	+	21.8875i	−1.39455	+	0.805143i	−0.993815	−	0.111051i	$-0.964578\pi$
$739$	−37.9102	+	21.8875i	−1.39455	+	0.805143i	−0.400734	+	0.916194i	$0.631245\pi$
$740$	0.246377	−	0.519450i	0.00905699	−	0.0190954i
$741$	0.378739	+	39.5170i	0.0139133	+	1.45169i
$742$	7.98520	−	4.95794i	0.293146	−	0.182012i
$743$	−0.221046	+	0.127621i	−0.00810940	+	0.00468196i	−0.504049	−	0.863675i	$-0.668157\pi$
$743$	−0.221046	+	0.127621i	−0.00810940	+	0.00468196i	0.495940	+	0.868357i	$0.334824\pi$
$744$	9.08501	−	21.9185i	0.333073	−	0.803570i
$745$			4.26656i			0.156315i
$746$	0.473414	+	11.7235i	0.0173329	+	0.429229i
$747$	7.96167	+	4.39540i	0.291302	+	0.160819i
$748$	8.37596	+	12.1304i	0.306255	+	0.443531i
$749$	10.9815	+	6.46260i	0.401257	+	0.236138i
$750$	4.55656	−	0.227760i	0.166382	−	0.00831662i
$751$	−0.364831			−0.0133129			−0.00665643	−	0.999978i	$-0.502119\pi$
$751$	−0.364831			−0.0133129			−0.00665643	+	0.999978i	$0.502119\pi$
$752$	8.40229	+	10.2840i	0.306400	+	0.375018i
$753$	−4.23498	+	0.0405889i	−0.154331	+	0.00147914i
$754$	−38.9239	+	1.57181i	−1.41753	+	0.0572418i
$755$		−	1.60860i		−	0.0585428i
$756$	27.3549	−	2.77647i	0.994889	−	0.100979i
$757$			19.4967i			0.708619i	0.935128	+	0.354309i	$0.115284\pi$
$757$			19.4967i			0.708619i	−0.935128	+	0.354309i	$0.884716\pi$
$758$	−0.175310	−	4.34134i	−0.00636754	−	0.157684i
$759$	−11.6458	+	0.111616i	−0.422715	+	0.00405139i
$760$	2.96782	+	1.26360i	0.107654	+	0.0458356i
$761$	−42.7513			−1.54973			−0.774867	−	0.632125i	$-0.782183\pi$
$761$	−42.7513			−1.54973			−0.774867	+	0.632125i	$0.782183\pi$
$762$	−1.21467	−	24.3006i	−0.0440027	−	0.880317i
$763$	−0.855047	−	1.50985i	−0.0309548	−	0.0546604i
$764$	−18.8049	+	12.9847i	−0.680339	+	0.469770i
$765$	−0.984043	+	0.593572i	−0.0355782	+	0.0214606i
$766$	25.5099	−	1.03013i	0.921710	−	0.0372201i
$767$			11.8305i			0.427173i
$768$	9.04463	+	26.1953i	0.326370	+	0.945242i
$769$	−22.0296	+	12.7188i	−0.794409	+	0.458652i	−0.841513	−	0.540238i	$-0.818334\pi$
$769$	−22.0296	+	12.7188i	−0.794409	+	0.458652i	0.0471032	+	0.998890i	$0.485001\pi$
$770$	−2.51371	+	0.0805677i	−0.0905877	+	0.00290346i
$771$	0.0181080	+	1.88936i	0.000652144	+	0.0680436i
$772$	−15.4529	+	32.5802i	−0.556161	+	1.17259i
$773$	39.0057	−	22.5199i	1.40294	−	0.809986i	0.408244	−	0.912873i	$-0.366141\pi$
$773$	39.0057	−	22.5199i	1.40294	−	0.809986i	0.994693	+	0.102887i	$0.0328081\pi$
$774$	−38.4623	−	19.2515i	−1.38250	−	0.691981i
$775$	20.8251	+	12.0234i	0.748060	+	0.431893i
$776$	28.2160	+	12.0134i	1.01289	+	0.431257i
$777$	6.10814	+	3.51624i	0.219128	+	0.126144i
$778$	−51.1994	+	2.06751i	−1.83559	+	0.0741238i
$779$	63.9353			2.29072
$780$	1.39470	+	1.97902i	0.0499382	+	0.0708602i
$781$		−	37.3756i		−	1.33740i
$782$	4.58012	−	2.89682i	0.163785	−	0.103590i
$783$	33.6855	+	18.1777i	1.20382	+	0.649618i
$784$	−27.7070	+	4.04025i	−0.989535	+	0.144295i
$785$	0.403652	+	0.233049i	0.0144070	+	0.00831787i
$786$	29.1961	−	1.45937i	1.04139	−	0.0520540i
$787$	12.3281	−	21.3529i	0.439449	−	0.761147i	−0.558198	−	0.829707i	$-0.688507\pi$
$787$	12.3281	−	21.3529i	0.439449	−	0.761147i	0.997647	+	0.0685603i	$0.0218406\pi$
$788$	−4.05681	+	0.328176i	−0.144518	+	0.0116908i
$789$	−26.9680	+	0.258467i	−0.960086	+	0.00920166i
$790$	3.59130	−	2.27142i	0.127773	−	0.0808134i
$791$	18.1780	+	32.0990i	0.646336	+	1.14131i
$792$	−30.2156	+	4.26564i	−1.07367	+	0.151573i
$793$	−3.00659	+	5.20757i	−0.106767	+	0.184926i
$794$	6.86127	−	13.0757i	0.243497	−	0.464039i
$795$	−0.413342	−	0.700343i	−0.0146597	−	0.0248386i
$796$	−30.3091	+	20.9283i	−1.07428	+	0.741783i
$797$	19.0282	−	10.9859i	0.674012	−	0.389141i	−0.123583	−	0.992334i	$-0.539439\pi$
$797$	19.0282	−	10.9859i	0.674012	−	0.389141i	0.797595	+	0.603193i	$0.206105\pi$
$798$	−18.3294	+	35.0384i	−0.648853	+	1.24034i
$799$	3.40221	−	5.89280i	0.120361	−	0.208472i
$800$	−27.5167	+	5.62944i	−0.972863	+	0.199031i
$801$	10.2833	−	18.6269i	0.363343	−	0.658148i
$802$	2.14162	+	53.0346i	0.0756232	+	1.87272i
$803$	36.3391	−	20.9804i	1.28238	−	0.740382i
$804$	−6.71508	+	14.5154i	−0.236823	+	0.511920i
$805$	−0.00769178	+	0.924560i	−0.000271100	+	0.0325865i
$806$	1.03341	+	25.5912i	0.0364004	+	0.901411i
$807$	25.7092	+	43.5600i	0.905005	+	1.53339i
$808$	−5.52479	−	45.4065i	−0.194362	−	1.59740i
$809$	6.85501	−	3.95774i	0.241009	−	0.139147i	−0.374631	−	0.927174i	$-0.622231\pi$
$809$	6.85501	−	3.95774i	0.241009	−	0.139147i	0.615640	+	0.788027i	$0.288897\pi$
$810$	−0.187017	−	2.37156i	−0.00657110	−	0.0833282i
$811$	26.5888			0.933658			0.466829	−	0.884348i	$-0.345396\pi$
$811$	26.5888			0.933658			0.466829	+	0.884348i	$0.345396\pi$
$812$	−35.0787	−	16.9968i	−1.23102	−	0.596472i
$813$	8.53339	−	15.1129i	0.299279	−	0.530034i
$814$	−6.92633	−	3.63449i	−0.242768	−	0.127389i
$815$	−0.167679	+	0.290428i	−0.00587352	+	0.0101732i
$816$	10.9094	−	9.08902i	0.381906	−	0.318179i
$817$	53.5701	−	30.9287i	1.87418	−	1.08206i
$818$	16.5106	+	8.66369i	0.577280	+	0.302919i
$819$	−25.5414	+	15.1181i	−0.892487	+	0.528269i
$820$	3.22322	−	2.22562i	0.112560	−	0.0777219i
$821$	−26.2933	−	45.5414i	−0.917644	−	1.58941i	−0.802984	−	0.596001i	$-0.796755\pi$
$821$	−26.2933	−	45.5414i	−0.917644	−	1.58941i	−0.114660	−	0.993405i	$-0.536578\pi$
$822$	43.6741	−	2.18305i	1.52331	−	0.0761428i
$823$	−18.3443	+	31.7733i	−0.639444	+	1.10755i	0.346111	+	0.938193i	$0.387502\pi$
$823$	−18.3443	+	31.7733i	−0.639444	+	1.10755i	−0.985555	+	0.169355i	$0.945831\pi$
$824$	2.86720	+	23.5646i	0.0998836	+	0.820912i
$825$	−0.296396	−	30.9255i	−0.0103192	−	1.07669i
$826$	−5.58741	+	10.4361i	−0.194411	+	0.363119i
$827$	53.0150			1.84351			0.921756	−	0.387771i	$-0.126755\pi$
$827$	53.0150			1.84351			0.921756	+	0.387771i	$0.126755\pi$
$828$	1.11871	+	11.1624i	0.0388777	+	0.387922i
$829$	−24.1125	−	41.7641i	−0.837463	−	1.45053i	−0.892009	−	0.452017i	$-0.850705\pi$
$829$	−24.1125	−	41.7641i	−0.837463	−	1.45053i	0.0545466	−	0.998511i	$-0.482629\pi$
$830$	−0.372320	+	0.709539i	−0.0129234	+	0.0246284i
$831$	35.5125	−	0.340358i	1.23191	−	0.0118069i
$832$	−20.7335	−	21.5644i	−0.718804	−	0.747611i
$833$	6.96561	+	12.5422i	0.241344	+	0.434561i
$834$	17.6086	−	11.3748i	0.609737	−	0.393876i
$835$	−1.58935	+	0.917614i	−0.0550018	+	0.0317553i
$836$	18.8070	−	39.6519i	0.650455	−	1.37139i
$837$	11.9512	−	22.1471i	0.413095	−	0.765516i
$838$	31.9044	−	20.1788i	1.10212	−	0.697065i
$839$	0.606303	−	1.05015i	0.0209319	−	0.0362551i	−0.855370	−	0.518018i	$-0.826670\pi$
$839$	0.606303	−	1.05015i	0.0209319	−	0.0362551i	0.876302	+	0.481763i	$0.160003\pi$
$840$	0.295648	+	2.40447i	0.0102008	+	0.0829621i
$841$	−12.6322	−	21.8797i	−0.435595	−	0.754472i
$842$	−28.2223	−	14.8092i	−0.972605	−	0.510360i
$843$	6.08186	−	10.7712i	0.209470	−	0.370979i
$844$	21.4344	−	14.8003i	0.737801	−	0.509448i
$845$	−0.159086	−	0.0918481i	−0.00547271	−	0.00315967i
$846$	7.75603	+	11.7579i	0.266658	+	0.404244i
$847$	−0.0425468	+	5.11417i	−0.00146193	+	0.175725i
$848$	6.35748	+	7.78124i	0.218317	+	0.267209i
$849$	−47.3577	−	26.7401i	−1.62531	−	0.917720i
$850$	7.69253	+	12.1625i	0.263852	+	0.417171i
$851$	−1.43780	+	2.49035i	−0.0492873	+	0.0853681i
$852$	−35.8555	+	3.24669i	−1.22839	+	0.111230i
$853$	−3.90131	+	6.75726i	−0.133578	+	0.231364i	−0.925053	−	0.379837i	$-0.875980\pi$
$853$	−3.90131	+	6.75726i	−0.133578	+	0.231364i	0.791475	+	0.611201i	$0.209313\pi$
$854$	−5.11171	+	3.17382i	−0.174919	+	0.108606i
$855$	2.99517	+	1.65354i	0.102433	+	0.0565500i
$856$	−5.33619	+	12.5331i	−0.182387	+	0.428373i
$857$	−40.9700			−1.39951			−0.699755	−	0.714383i	$-0.746707\pi$
$857$	−40.9700			−1.39951			−0.699755	+	0.714383i	$0.746707\pi$
$858$	27.6691	−	17.8736i	0.944606	−	0.610195i
$859$	−22.1160			−0.754587			−0.377294	−	0.926094i	$-0.623145\pi$
$859$	−22.1160			−0.754587			−0.377294	+	0.926094i	$0.623145\pi$
$860$	1.62403	−	3.42403i	0.0553789	−	0.116758i
$861$	24.0616	+	41.5545i	0.820017	+	1.41617i
$862$	6.38768	−	4.04006i	0.217565	−	0.137605i
$863$	17.5708	+	10.1445i	0.598116	+	0.345322i	0.768300	−	0.640090i	$-0.221103\pi$
$863$	17.5708	+	10.1445i	0.598116	+	0.345322i	−0.170184	+	0.985412i	$0.554436\pi$
$864$	6.71687	+	28.6161i	0.228513	+	0.973541i
$865$	0.563398	+	0.975834i	0.0191561	+	0.0331794i
$866$	1.95212	+	48.3418i	0.0663356	+	1.64272i
$867$	19.3045	+	10.9002i	0.655617	+	0.370189i
$868$	−11.1749	+	23.0631i	−0.379299	+	0.782812i
$869$	−28.9070	−	50.0683i	−0.980601	−	1.69845i
$870$	−1.53836	+	3.00124i	−0.0521552	+	0.101752i
$871$		−	17.2643i		−	0.584979i
$872$	1.48266	−	1.11472i	0.0502091	−	0.0377492i
$873$	28.4760	+	15.7207i	0.963766	+	0.532066i
$874$	−14.2865	−	7.49660i	−0.483247	−	0.253576i
$875$	−4.92762	−	0.0409948i	−0.166584	−	0.00138588i
$876$	−23.2837	−	33.0386i	−0.786684	−	1.11627i
$877$			50.6918i			1.71174i	0.517190	+	0.855871i	$0.326978\pi$
$877$			50.6918i			1.71174i	−0.517190	+	0.855871i	$0.673022\pi$
$878$	−10.0023	+	6.32625i	−0.337562	+	0.213501i
$879$	−10.0932	−	17.1013i	−0.340434	−	0.576811i
$880$	−0.432168	−	2.65369i	−0.0145684	−	0.0894557i
$881$	−11.0756			−0.373145			−0.186572	−	0.982441i	$-0.559738\pi$
$881$	−11.0756			−0.373145			−0.186572	+	0.982441i	$0.559738\pi$
$882$	−29.6712	+	1.27335i	−0.999080	+	0.0428759i
$883$		−	32.4150i		−	1.09085i	−0.838159	−	0.545425i	$-0.816368\pi$
$883$		−	32.4150i		−	1.09085i	0.838159	−	0.545425i	$-0.183632\pi$
$884$	−6.56862	+	13.8490i	−0.220927	+	0.465792i
$885$	0.891857	+	0.503580i	0.0299794	+	0.0169276i
$886$	5.94123	+	9.39358i	0.199600	+	0.315584i
$887$	−16.9159			−0.567980			−0.283990	−	0.958827i	$-0.591658\pi$
$887$	−16.9159			−0.567980			−0.283990	+	0.958827i	$0.591658\pi$
$888$	−2.88500	+	6.96034i	−0.0968142	+	0.233574i
$889$	−0.218629	+	26.2795i	−0.00733260	+	0.881386i
$890$	1.66001	+	0.871067i	0.0556437	+	0.0291982i
$891$	−32.3425	+	1.24048i	−1.08351	+	0.0415576i
$892$	−37.7340	−	17.8973i	−1.26343	−	0.599247i
$893$	−20.2574			−0.677889
$894$	−2.79144	−	55.8456i	−0.0933599	−	1.86776i
$895$	−0.631315	+	0.364490i	−0.0211025	+	0.0121836i
$896$	−8.10518	−	28.8150i	−0.270775	−	0.962643i
$897$	−6.15512	−	10.4289i	−0.205513	−	0.348210i
$898$	−0.891729	−	22.0826i	−0.0297574	−	0.736905i
$899$	−30.8973	+	17.8386i	−1.03048	+	0.594949i
$900$	−29.6419	+	2.97073i	−0.988063	+	0.0990243i
$901$	2.57423	−	4.45871i	0.0857602	−	0.148541i
$902$	−28.4864	−	45.0393i	−0.948492	−	1.49965i
$903$	40.2627	+	23.1778i	1.33986	+	0.771310i
$904$	−31.5208	+	23.6986i	−1.04837	+	0.788204i
$905$		−	3.98983i		−	0.132626i
$906$	1.05244	+	21.0551i	0.0349650	+	0.699509i
$907$			31.0337i			1.03046i	0.857053	+	0.515228i	$0.172293\pi$
$907$			31.0337i			1.03046i	−0.857053	+	0.515228i	$0.827707\pi$
$908$	0.337809	+	4.17590i	0.0112106	+	0.138582i
$909$	−0.929891	−	48.5072i	−0.0308425	−	1.60888i
$910$	−1.37942	−	2.22168i	−0.0457273	−	0.0736478i
$911$	43.4959	+	25.1124i	1.44108	+	0.832010i	0.997922	−	0.0644318i	$-0.0205235\pi$
$911$	43.4959	+	25.1124i	1.44108	+	0.832010i	0.443161	+	0.896442i	$0.353857\pi$
$912$	−39.6729	−	14.5977i	−1.31370	−	0.483378i
$913$	9.44132	+	5.45095i	0.312462	+	0.180400i
$914$	−23.0806	−	36.4924i	−0.763439	−	1.20706i
$915$	0.264601	+	0.448323i	0.00874743	+	0.0148211i
$916$	29.6531	−	2.39878i	0.979765	−	0.0792580i
$917$	−31.5737	−	0.262674i	−1.04266	−	0.00867426i
$918$	12.4919	−	8.41315i	0.412295	−	0.277675i
$919$	−14.6299	+	25.3397i	−0.482595	+	0.835878i	−0.999800	−	0.0199828i	$-0.993639\pi$
$919$	−14.6299	+	25.3397i	−0.482595	+	0.835878i	0.517206	+	0.855861i	$0.326972\pi$
$920$	−0.981195	+	0.119386i	−0.0323490	+	0.00393603i
$921$	0.169925	+	17.7297i	0.00559921	+	0.584212i
$922$	13.4208	+	7.04234i	0.441989	+	0.231927i
$923$	33.6563	−	19.4315i	1.10781	−	0.639594i
$924$	32.8495	−	2.69918i	1.08067	−	0.0887965i
$925$	−6.61314	−	3.81810i	−0.217439	−	0.125538i
$926$	1.65972	+	2.62416i	0.0545418	+	0.0862351i
$927$	0.482585	+	25.1738i	0.0158502	+	0.826814i
$928$	13.1795	−	39.5318i	0.432638	−	1.29770i
$929$	24.6746	+	42.7377i	0.809547	+	1.40218i	0.913178	+	0.407561i	$0.133621\pi$
$929$	24.6746	+	42.7377i	0.809547	+	1.40218i	−0.103631	+	0.994616i	$0.533046\pi$
$930$	1.97322	+	1.01142i	0.0647044	+	0.0331657i
$931$	21.9681	−	36.6287i	0.719977	−	1.20046i
$932$	−4.92888	−	2.33778i	−0.161451	−	0.0765767i
$933$	−14.8967	−	8.41129i	−0.487695	−	0.275373i
$934$	25.3109	+	13.2815i	0.828197	+	0.434584i
$935$	−1.19304	+	0.688804i	−0.0390167	+	0.0225263i
$936$	−19.5502	−	24.9911i	−0.639017	−	0.816859i
$937$		−	12.4009i		−	0.405120i	−0.979270	−	0.202560i	$-0.935074\pi$
$937$		−	12.4009i		−	0.405120i	0.979270	−	0.202560i	$-0.0649261\pi$
$938$	8.15376	−	15.2295i	0.266230	−	0.497262i
$939$	8.58855	+	14.5519i	0.280277	+	0.474884i
$940$	−1.02125	+	0.705170i	−0.0333096	+	0.0230001i
$941$	−3.35882	−	1.93921i	−0.109494	−	0.0632166i	0.444253	−	0.895901i	$-0.353469\pi$
$941$	−3.35882	−	1.93921i	−0.109494	−	0.0632166i	−0.553747	+	0.832685i	$0.686803\pi$
$942$	−5.43593	−	2.78631i	−0.177112	−	0.0907829i
$943$	−16.9669	+	9.79587i	−0.552520	+	0.318997i
$944$	−11.8342	−	4.48363i	−0.385169	−	0.145930i
$945$	0.0524984	+	2.56900i	0.00170777	+	0.0835695i
$946$	−45.6559	−	23.9573i	−1.48440	−	0.778917i
$947$	−2.61622	−	4.53143i	−0.0850159	−	0.147252i	0.820382	−	0.571816i	$-0.193761\pi$
$947$	−2.61622	−	4.53143i	−0.0850159	−	0.147252i	−0.905398	+	0.424564i	$0.860427\pi$
$948$	−45.5209	+	32.0805i	−1.47845	+	1.04193i
$949$	37.7852	+	21.8153i	1.22656	+	0.708154i
$950$	19.9073	−	37.9377i	0.645877	−	1.23086i
$951$	−26.6457	+	15.7263i	−0.864047	+	0.509961i
$952$	−12.3352	+	9.11445i	−0.399786	+	0.295401i
$953$			5.43209i			0.175963i	0.996122	+	0.0879813i	$0.0280416\pi$
$953$			5.43209i			0.175963i	−0.996122	+	0.0879813i	$0.971958\pi$
$954$	5.86850	+	8.89644i	0.190000	+	0.288033i
$955$	−1.06781	−	1.84950i	−0.0345535	−	0.0598484i
$956$	38.4870	−	26.5750i	1.24476	−	0.859498i
$957$	39.9554	+	22.5605i	1.29158	+	0.729278i
$958$	52.4017	−	2.11606i	1.69302	−	0.0683669i
$959$	−47.2307	−	0.392931i	−1.52516	−	0.0126884i
$960$	−2.50821	+	0.645107i	−0.0809523	+	0.0208207i
$961$	−3.77174	−	6.53285i	−0.121669	−	0.210737i
$962$	−0.328166	−	8.12663i	−0.0105805	−	0.262013i
$963$	−6.98291	+	12.6486i	−0.225021	+	0.407595i
$964$	2.43340	+	30.0810i	0.0783745	+	0.968843i
$965$	−2.91836	−	1.68491i	−0.0939453	−	0.0542393i
$966$	−0.504225	−	12.1067i	−0.0162232	−	0.389527i
$967$	19.1585	+	33.1835i	0.616096	+	1.06711i	0.990191	+	0.139719i	$0.0446198\pi$
$967$	19.1585	+	33.1835i	0.616096	+	1.06711i	−0.374096	+	0.927390i	$0.622047\pi$
$968$	−5.42744	+	0.660378i	−0.174444	+	0.0212253i
$969$	0.207584	+	21.6590i	0.00666857	+	0.695788i
$970$	−1.33165	+	2.53776i	−0.0427567	+	0.0814825i
$971$	−18.3260	−	10.5805i	−0.588109	−	0.339545i	0.176240	−	0.984347i	$-0.443606\pi$
$971$	−18.3260	−	10.5805i	−0.588109	−	0.339545i	−0.764350	+	0.644802i	$0.776940\pi$
$972$	3.99951	+	30.9193i	0.128284	+	0.991737i
$973$	−19.7026	+	11.1578i	−0.631637	+	0.357703i
$974$	−24.3398	−	38.4833i	−0.779897	−	1.23308i
$975$	27.6939	−	16.3449i	0.886914	−	0.523457i
$976$	−4.06973	−	4.98115i	−0.130269	−	0.159443i
$977$	5.23741	+	3.02382i	0.167560	+	0.0967406i	0.581435	−	0.813593i	$-0.302492\pi$
$977$	5.23741	+	3.02382i	0.167560	+	0.0967406i	−0.413875	+	0.910334i	$0.635825\pi$
$978$	2.00475	−	3.91115i	0.0641048	−	0.125065i
$979$	12.7529	−	22.0886i	0.407583	−	0.705955i
$980$	−0.167564	−	2.61131i	−0.00535265	−	0.0834154i
$981$	1.68472	−	1.01622i	0.0537890	−	0.0324454i
$982$	6.71626	+	10.6190i	0.214324	+	0.338865i
$983$	26.2243			0.836424			0.418212	−	0.908349i	$-0.362657\pi$
$983$	26.2243			0.836424			0.418212	+	0.908349i	$0.362657\pi$
$984$	−40.7330	+	31.2402i	−1.29852	+	0.995901i
$985$		−	0.380360i		−	0.0121193i
$986$	−21.3340	+	0.861498i	−0.679412	+	0.0274357i
$987$	−7.62374	−	13.1662i	−0.242666	−	0.419085i
$988$	45.4838	−	3.67941i	1.44703	−	0.117058i
$989$	−9.47750	+	16.4155i	−0.301367	+	0.521983i
$990$	−0.169656	−	2.84669i	−0.00539204	−	0.0904737i
$991$	7.11351	+	12.3210i	0.225968	+	0.391388i	0.956609	−	0.291373i	$-0.0941122\pi$
$991$	7.11351	+	12.3210i	0.225968	+	0.391388i	−0.730641	+	0.682761i	$0.760779\pi$
$992$	−25.9909	−	8.66507i	−0.825211	−	0.275116i
$993$	−24.2385	−	41.0682i	−0.769184	−	1.30326i
$994$	38.8668	−	1.24573i	1.23278	−	0.0395123i
$995$	−1.72105	−	2.98095i	−0.0545611	−	0.0945026i
$996$	4.40911	−	9.53083i	0.139708	−	0.301996i
$997$	20.4299			0.647023			0.323511	−	0.946224i	$-0.395137\pi$
$997$	20.4299			0.647023			0.323511	+	0.946224i	$0.395137\pi$
$998$	−0.642836	−	15.9191i	−0.0203486	−	0.503909i
$999$	−3.79519	+	7.03294i	−0.120074	+	0.222512i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.y.a.173.1	✓	184
7.3	odd	6		504.2.ca.a.101.61	yes	184
8.5	even	2	inner	504.2.y.a.173.29	yes	184
9.5	odd	6		504.2.ca.a.5.32	yes	184
56.45	odd	6		504.2.ca.a.101.32	yes	184
63.59	even	6	inner	504.2.y.a.437.29	yes	184
72.5	odd	6		504.2.ca.a.5.61	yes	184
504.437	even	6	inner	504.2.y.a.437.1	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.y.a.173.1	✓	184	1.1	even	1	trivial
504.2.y.a.173.29	yes	184	8.5	even	2	inner
504.2.y.a.437.1	yes	184	504.437	even	6	inner
504.2.y.a.437.29	yes	184	63.59	even	6	inner
504.2.ca.a.5.32	yes	184	9.5	odd	6
504.2.ca.a.5.61	yes	184	72.5	odd	6
504.2.ca.a.101.32	yes	184	56.45	odd	6
504.2.ca.a.101.61	yes	184	7.3	odd	6

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.y (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41306 + 0.0570616i) q^{2} +(0.0165996 + 1.73197i) q^{3} +(1.99349 - 0.161263i) q^{4} +0.186906i q^{5} +(-0.122285 - 2.44644i) q^{6} +(-0.0220103 + 2.64566i) q^{7} +(-2.80772 + 0.341626i) q^{8} +(-2.99945 + 0.0574999i) q^{9} +O(q^{10})\)	\(q+(-1.41306 + 0.0570616i) q^{2} +(0.0165996 + 1.73197i) q^{3} +(1.99349 - 0.161263i) q^{4} +0.186906i q^{5} +(-0.122285 - 2.44644i) q^{6} +(-0.0220103 + 2.64566i) q^{7} +(-2.80772 + 0.341626i) q^{8} +(-2.99945 + 0.0574999i) q^{9} +(-0.0106652 - 0.264110i) q^{10} -3.59625 q^{11} +(0.312394 + 3.44999i) q^{12} +(-1.86968 - 3.23838i) q^{13} +(-0.119864 - 3.73974i) q^{14} +(-0.323716 + 0.00310256i) q^{15} +(3.94799 - 0.642952i) q^{16} +(-1.02476 - 1.77494i) q^{17} +(4.23513 - 0.252404i) q^{18} +(-3.05081 + 5.28416i) q^{19} +(0.0301411 + 0.372595i) q^{20} +(-4.58257 + 0.00579560i) q^{21} +(5.08173 - 0.205208i) q^{22} -1.86973i q^{23} +(-0.638294 - 4.85722i) q^{24} +4.96507 q^{25} +(2.82676 + 4.46935i) q^{26} +(-0.149378 - 5.19400i) q^{27} +(0.382770 + 5.27764i) q^{28} +(-3.68322 + 6.37953i) q^{29} +(0.457254 - 0.0228559i) q^{30} +(4.19433 + 2.42160i) q^{31} +(-5.54206 + 1.13381i) q^{32} +(-0.0596962 - 6.22861i) q^{33} +(1.54933 + 2.44962i) q^{34} +(-0.494490 - 0.00411386i) q^{35} +(-5.97009 + 0.598326i) q^{36} +(-1.33193 - 0.768992i) q^{37} +(4.00947 - 7.64093i) q^{38} +(5.57775 - 3.29199i) q^{39} +(-0.0638520 - 0.524780i) q^{40} +(-5.23920 - 9.07456i) q^{41} +(6.47513 - 0.269678i) q^{42} +(-8.77963 - 5.06892i) q^{43} +(-7.16909 + 0.579943i) q^{44} +(-0.0107471 - 0.560615i) q^{45} +(0.106690 + 2.64204i) q^{46} +(1.66000 + 2.87521i) q^{47} +(1.17911 + 6.82713i) q^{48} +(-6.99903 - 0.116463i) q^{49} +(-7.01595 + 0.283315i) q^{50} +(3.05713 - 1.80432i) q^{51} +(-4.24942 - 6.15417i) q^{52} +(1.25602 + 2.17549i) q^{53} +(0.507458 + 7.33093i) q^{54} -0.672161i q^{55} +(-0.842029 - 7.43579i) q^{56} +(-9.20266 - 5.19621i) q^{57} +(4.84059 - 9.22484i) q^{58} +(-2.73990 - 1.58188i) q^{59} +(-0.644823 + 0.0583883i) q^{60} +(-0.804038 - 1.39264i) q^{61} +(-6.06503 - 3.18253i) q^{62} +(-0.0861065 - 7.93679i) q^{63} +(7.76658 - 1.91838i) q^{64} +(0.605273 - 0.349455i) q^{65} +(0.439769 + 8.79800i) q^{66} +(3.99836 + 2.30846i) q^{67} +(-2.32908 - 3.37306i) q^{68} +(3.23831 - 0.0310366i) q^{69} +(0.698979 - 0.0224032i) q^{70} +10.3929i q^{71} +(8.40197 - 1.18613i) q^{72} +(-10.1047 + 5.83396i) q^{73} +(1.92598 + 1.01063i) q^{74} +(0.0824179 + 8.59935i) q^{75} +(-5.22962 + 11.0259i) q^{76} +(0.0791546 - 9.51446i) q^{77} +(-7.69386 + 4.97006i) q^{78} +(8.03808 + 13.9224i) q^{79} +(0.120172 + 0.737903i) q^{80} +(8.99339 - 0.344936i) q^{81} +(7.92112 + 12.5240i) q^{82} +(-2.62532 - 1.51573i) q^{83} +(-9.13437 + 0.750553i) q^{84} +(0.331746 - 0.191534i) q^{85} +(12.6954 + 6.66172i) q^{86} +(-11.1103 - 6.27334i) q^{87} +(10.0973 - 1.22858i) q^{88} +(-3.54615 + 6.14211i) q^{89} +(0.0471759 + 0.791571i) q^{90} +(8.60881 - 4.87526i) q^{91} +(-0.301518 - 3.72728i) q^{92} +(-4.12451 + 7.30465i) q^{93} +(-2.50975 - 3.96812i) q^{94} +(-0.987642 - 0.570215i) q^{95} +(-2.05572 - 9.57988i) q^{96} +(-9.38981 - 5.42121i) q^{97} +(9.89671 - 0.234806i) q^{98} +(10.7868 - 0.206784i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9}+O(q^{10}) \) 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9	\( 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9} - 6 q^{10} - 3 q^{12} - 3 q^{14} - 2 q^{15} + q^{16} - 15 q^{18} - 6 q^{22} - 12 q^{24} - 156 q^{25} + 6 q^{26} - 8 q^{28} - 14 q^{30} - 6 q^{31} - 33 q^{32} - 6 q^{33} - 6 q^{34} + 22 q^{36} - 66 q^{38} + 10 q^{39} - 15 q^{42} + 9 q^{44} + 2 q^{46} - 6 q^{47} - 9 q^{48} - 2 q^{49} + 9 q^{50} + 24 q^{54} + 60 q^{56} + 4 q^{57} + 6 q^{58} + 34 q^{60} - 12 q^{62} - 30 q^{63} - 8 q^{64} - 6 q^{65} - 21 q^{66} - 36 q^{68} + 30 q^{70} + 9 q^{72} - 12 q^{73} - 12 q^{76} + 19 q^{78} + 2 q^{79} + 57 q^{80} + 6 q^{81} + 9 q^{84} + 12 q^{87} - 18 q^{88} + 24 q^{89} + 75 q^{90} - 36 q^{92} - 3 q^{94} + 54 q^{95} - 54 q^{96} + 45 q^{98}+O(q^{100}) \) 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9 - 6 * q^10 - 3 * q^12 - 3 * q^14 - 2 * q^15 + q^16 - 15 * q^18 - 6 * q^22 - 12 * q^24 - 156 * q^25 + 6 * q^26 - 8 * q^28 - 14 * q^30 - 6 * q^31 - 33 * q^32 - 6 * q^33 - 6 * q^34 + 22 * q^36 - 66 * q^38 + 10 * q^39 - 15 * q^42 + 9 * q^44 + 2 * q^46 - 6 * q^47 - 9 * q^48 - 2 * q^49 + 9 * q^50 + 24 * q^54 + 60 * q^56 + 4 * q^57 + 6 * q^58 + 34 * q^60 - 12 * q^62 - 30 * q^63 - 8 * q^64 - 6 * q^65 - 21 * q^66 - 36 * q^68 + 30 * q^70 + 9 * q^72 - 12 * q^73 - 12 * q^76 + 19 * q^78 + 2 * q^79 + 57 * q^80 + 6 * q^81 + 9 * q^84 + 12 * q^87 - 18 * q^88 + 24 * q^89 + 75 * q^90 - 36 * q^92 - 3 * q^94 + 54 * q^95 - 54 * q^96 + 45 * q^98

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