LMFDB - Embedded newform 144.3.w.a.5.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [144,3,Mod(5,144)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(144, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 10]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("144.5");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 144 = 2^{4} \cdot 3^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	144.w (of order $12$, 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:	$3.92371580679$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$46$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			5.8
Character	$\chi$	$=$	144.5
Dual form			144.3.w.a.29.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.73513 + 0.994646i) q^{2} +(1.85623 - 2.35678i) q^{3} +(2.02136 - 3.45168i) q^{4} +(-0.777454 - 2.90150i) q^{5} +(-0.876653 + 5.93561i) q^{6} +(2.72697 - 1.57442i) q^{7} +(-0.0741259 + 7.99966i) q^{8} +(-2.10879 - 8.74946i) q^{9} +O(q^{10})$	\(q+(-1.73513 + 0.994646i) q^{2} +(1.85623 - 2.35678i) q^{3} +(2.02136 - 3.45168i) q^{4} +(-0.777454 - 2.90150i) q^{5} +(-0.876653 + 5.93561i) q^{6} +(2.72697 - 1.57442i) q^{7} +(-0.0741259 + 7.99966i) q^{8} +(-2.10879 - 8.74946i) q^{9} +(4.23494 + 4.26119i) q^{10} +(-14.9108 - 3.99534i) q^{11} +(-4.38272 - 11.1710i) q^{12} +(-0.385861 - 1.44005i) q^{13} +(-3.16566 + 5.44419i) q^{14} +(-8.28131 - 3.55357i) q^{15} +(-7.82820 - 13.9542i) q^{16} +1.71558i q^{17} +(12.3616 + 13.0840i) q^{18} +(6.25827 - 6.25827i) q^{19} +(-11.5866 - 3.18145i) q^{20} +(1.35135 - 9.34935i) q^{21} +(29.8462 - 7.89854i) q^{22} +(9.83131 - 17.0283i) q^{23} +(18.7158 + 15.0239i) q^{24} +(13.8364 - 7.98844i) q^{25} +(2.10186 + 2.11489i) q^{26} +(-24.5349 - 11.2711i) q^{27} +(0.0778040 - 12.5951i) q^{28} +(-4.24953 + 15.8594i) q^{29} +(17.9037 - 2.07106i) q^{30} +(23.0050 - 39.8458i) q^{31} +(27.4624 + 16.4260i) q^{32} +(-37.0941 + 27.7252i) q^{33} +(-1.70640 - 2.97676i) q^{34} +(-6.68826 - 6.68826i) q^{35} +(-34.4630 - 10.4069i) q^{36} +(6.16259 + 6.16259i) q^{37} +(-4.63416 + 17.0837i) q^{38} +(-4.11013 - 1.76369i) q^{39} +(23.2686 - 6.00429i) q^{40} +(-17.5575 + 30.4105i) q^{41} +(6.95452 + 17.5665i) q^{42} +(-16.7871 + 62.6504i) q^{43} +(-43.9308 + 43.3914i) q^{44} +(-23.7470 + 12.9209i) q^{45} +(-0.121461 + 39.3250i) q^{46} +(74.6613 - 43.1057i) q^{47} +(-47.4179 - 7.45291i) q^{48} +(-19.5424 + 33.8485i) q^{49} +(-16.0623 + 27.6233i) q^{50} +(4.04325 + 3.18453i) q^{51} +(-5.75057 - 1.57900i) q^{52} +(-15.8369 + 15.8369i) q^{53} +(53.7821 - 4.84670i) q^{54} +46.3699i q^{55} +(12.3927 + 21.9315i) q^{56} +(-3.13252 - 26.3661i) q^{57} +(-8.40104 - 31.7450i) q^{58} +(6.63154 + 24.7492i) q^{59} +(-29.0053 + 21.4014i) q^{60} +(50.8437 + 13.6235i) q^{61} +(-0.284215 + 92.0196i) q^{62} +(-19.5259 - 20.5394i) q^{63} +(-63.9890 - 1.18596i) q^{64} +(-3.87832 + 2.23915i) q^{65} +(36.7864 - 85.0023i) q^{66} +(-25.4705 - 95.0572i) q^{67} +(5.92165 + 3.46781i) q^{68} +(-21.8827 - 54.7788i) q^{69} +(18.2575 + 4.95256i) q^{70} +100.652 q^{71} +(70.1490 - 16.2210i) q^{72} +61.6188i q^{73} +(-16.8225 - 4.56331i) q^{74} +(6.85661 - 47.4377i) q^{75} +(-8.95133 - 34.2517i) q^{76} +(-46.9517 + 12.5807i) q^{77} +(8.88587 - 1.02789i) q^{78} +(39.1706 + 67.8455i) q^{79} +(-34.4019 + 33.5622i) q^{80} +(-72.1060 + 36.9015i) q^{81} +(0.216914 - 70.2297i) q^{82} +(34.0981 - 127.256i) q^{83} +(-29.5394 - 23.5628i) q^{84} +(4.97776 - 1.33379i) q^{85} +(-33.1871 - 125.404i) q^{86} +(29.4890 + 39.4540i) q^{87} +(33.0666 - 118.985i) q^{88} +82.3462 q^{89} +(28.3525 - 46.0394i) q^{90} +(-3.31948 - 3.31948i) q^{91} +(-38.9037 - 68.3549i) q^{92} +(-51.2050 - 128.181i) q^{93} +(-86.6722 + 149.056i) q^{94} +(-23.0238 - 13.2928i) q^{95} +(89.6892 - 34.2322i) q^{96} +(77.4982 + 134.231i) q^{97} +(0.241436 - 78.1693i) q^{98} +(-3.51334 + 138.887i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	$ 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) $ 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$	$1$

Coefficient data

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

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

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

$2$	−1.73513	+	0.994646i	−0.867566	+	0.497323i
$2$	−1.73513	+	0.994646i	−0.867566	+	0.497323i
$3$	1.85623	−	2.35678i	0.618745	−	0.785592i
$3$	1.85623	−	2.35678i	0.618745	−	0.785592i
$4$	2.02136	−	3.45168i	0.505340	−	0.862920i
$5$	−0.777454	−	2.90150i	−0.155491	−	0.580299i	−0.999063	−	0.0432834i	$-0.986218\pi$
$5$	−0.777454	−	2.90150i	−0.155491	−	0.580299i	0.843572	−	0.537016i	$-0.180448\pi$
$6$	−0.876653	+	5.93561i	−0.146109	+	0.989269i
$7$	2.72697	−	1.57442i	0.389567	−	0.224917i	−0.292405	−	0.956294i	$-0.594456\pi$
$7$	2.72697	−	1.57442i	0.389567	−	0.224917i	0.681973	+	0.731378i	$0.261122\pi$
$8$	−0.0741259	+	7.99966i	−0.00926573	+	0.999957i
$9$	−2.10879	−	8.74946i	−0.234310	−	0.972162i
$10$	4.23494	+	4.26119i	0.423494	+	0.426119i
$11$	−14.9108	−	3.99534i	−1.35553	−	0.363213i	−0.493356	−	0.869827i	$-0.664230\pi$
$11$	−14.9108	−	3.99534i	−1.35553	−	0.363213i	−0.862173	+	0.506615i	$0.830897\pi$
$12$	−4.38272	−	11.1710i	−0.365227	−	0.930919i
$13$	−0.385861	−	1.44005i	−0.0296816	−	0.110773i	0.949496	−	0.313780i	$-0.101595\pi$
$13$	−0.385861	−	1.44005i	−0.0296816	−	0.110773i	−0.979177	+	0.203007i	$0.934929\pi$
$14$	−3.16566	+	5.44419i	−0.226119	+	0.388871i
$15$	−8.28131	−	3.55357i	−0.552088	−	0.236905i
$16$	−7.82820	−	13.9542i	−0.489263	−	0.872136i
$17$			1.71558i			0.100917i	0.998726	+	0.0504584i	$0.0160682\pi$
$17$			1.71558i			0.100917i	−0.998726	+	0.0504584i	$0.983932\pi$
$18$	12.3616	+	13.0840i	0.686757	+	0.726887i
$19$	6.25827	−	6.25827i	0.329382	−	0.329382i	−0.522969	−	0.852352i	$-0.675176\pi$
$19$	6.25827	−	6.25827i	0.329382	−	0.329382i	0.852352	+	0.522969i	$0.175176\pi$
$20$	−11.5866	−	3.18145i	−0.579328	−	0.159072i
$21$	1.35135	−	9.34935i	0.0643499	−	0.445207i
$22$	29.8462	−	7.89854i	1.35664	−	0.359024i
$23$	9.83131	−	17.0283i	0.427448	−	0.740362i	−0.569197	−	0.822201i	$-0.692746\pi$
$23$	9.83131	−	17.0283i	0.427448	−	0.740362i	0.996646	+	0.0818390i	$0.0260793\pi$
$24$	18.7158	+	15.0239i	0.779825	+	0.625997i
$25$	13.8364	−	7.98844i	0.553456	−	0.319538i
$26$	2.10186	+	2.11489i	0.0808409	+	0.0813418i
$27$	−24.5349	−	11.2711i	−0.908701	−	0.417448i
$28$	0.0778040	−	12.5951i	0.00277871	−	0.449825i
$29$	−4.24953	+	15.8594i	−0.146535	+	0.546877i	0.853147	+	0.521671i	$0.174691\pi$
$29$	−4.24953	+	15.8594i	−0.146535	+	0.546877i	−0.999682	+	0.0252066i	$0.991976\pi$
$30$	17.9037	−	2.07106i	0.596790	−	0.0690352i
$31$	23.0050	−	39.8458i	0.742097	−	1.28535i	−0.209442	−	0.977821i	$-0.567165\pi$
$31$	23.0050	−	39.8458i	0.742097	−	1.28535i	0.951539	−	0.307529i	$-0.0995020\pi$
$32$	27.4624	+	16.4260i	0.858201	+	0.513314i
$33$	−37.0941	+	27.7252i	−1.12406	+	0.840156i
$34$	−1.70640	−	2.97676i	−0.0501882	−	0.0875519i
$35$	−6.68826	−	6.68826i	−0.191093	−	0.191093i
$36$	−34.4630	−	10.4069i	−0.957304	−	0.289082i
$37$	6.16259	+	6.16259i	0.166556	+	0.166556i	0.785464	−	0.618907i	$-0.212424\pi$
$37$	6.16259	+	6.16259i	0.166556	+	0.166556i	−0.618907	+	0.785464i	$0.712424\pi$
$38$	−4.63416	+	17.0837i	−0.121951	+	0.449570i
$39$	−4.11013	−	1.76369i	−0.105388	−	0.0452228i
$40$	23.2686	−	6.00429i	0.581715	−	0.150107i
$41$	−17.5575	+	30.4105i	−0.428232	+	0.741719i	−0.996716	−	0.0809747i	$-0.974197\pi$
$41$	−17.5575	+	30.4105i	−0.428232	+	0.741719i	0.568484	+	0.822694i	$0.307530\pi$
$42$	6.95452	+	17.5665i	0.165584	+	0.418249i
$43$	−16.7871	+	62.6504i	−0.390398	+	1.45699i	0.439080	+	0.898448i	$0.355304\pi$
$43$	−16.7871	+	62.6504i	−0.390398	+	1.45699i	−0.829479	+	0.558539i	$0.811362\pi$
$44$	−43.9308	+	43.3914i	−0.998427	+	0.986167i
$45$	−23.7470	+	12.9209i	−0.527712	+	0.287132i
$46$	−0.121461	+	39.3250i	−0.00264045	+	0.854892i
$47$	74.6613	−	43.1057i	1.58854	−	0.917143i	0.594989	−	0.803734i	$-0.297156\pi$
$47$	74.6613	−	43.1057i	1.58854	−	0.917143i	0.993548	−	0.113409i	$-0.0361770\pi$
$48$	−47.4179	−	7.45291i	−0.987872	−	0.155269i
$49$	−19.5424	+	33.8485i	−0.398825	+	0.690785i
$50$	−16.0623	+	27.6233i	−0.321246	+	0.552466i
$51$	4.04325	+	3.18453i	0.0792794	+	0.0624417i
$52$	−5.75057	−	1.57900i	−0.110588	−	0.0303653i
$53$	−15.8369	+	15.8369i	−0.298810	+	0.298810i	−0.840548	−	0.541738i	$-0.817767\pi$
$53$	−15.8369	+	15.8369i	−0.298810	+	0.298810i	0.541738	+	0.840548i	$0.317767\pi$
$54$	53.7821	−	4.84670i	0.995964	−	0.0897536i
$55$			46.3699i			0.843088i
$56$	12.3927	+	21.9315i	0.221297	+	0.391635i
$57$	−3.13252	−	26.3661i	−0.0549565	−	0.462564i
$58$	−8.40104	−	31.7450i	−0.144846	−	0.547327i
$59$	6.63154	+	24.7492i	0.112399	+	0.419479i	0.999079	−	0.0429046i	$-0.0136612\pi$
$59$	6.63154	+	24.7492i	0.112399	+	0.419479i	−0.886680	+	0.462383i	$0.846994\pi$
$60$	−29.0053	+	21.4014i	−0.483422	+	0.356690i
$61$	50.8437	+	13.6235i	0.833504	+	0.223337i	0.650242	−	0.759727i	$-0.274668\pi$
$61$	50.8437	+	13.6235i	0.833504	+	0.223337i	0.183262	+	0.983064i	$0.441334\pi$
$62$	−0.284215	+	92.0196i	−0.00458411	+	1.48419i
$63$	−19.5259	−	20.5394i	−0.309935	−	0.326022i
$64$	−63.9890	−	1.18596i	−0.999828	−	0.0185307i
$65$	−3.87832	+	2.23915i	−0.0596665	+	0.0344485i
$66$	36.7864	−	85.0023i	0.557370	−	1.28791i
$67$	−25.4705	−	95.0572i	−0.380157	−	1.41876i	−0.845662	−	0.533719i	$-0.820794\pi$
$67$	−25.4705	−	95.0572i	−0.380157	−	1.41876i	0.465505	−	0.885045i	$-0.345873\pi$
$68$	5.92165	+	3.46781i	0.0870831	+	0.0509973i
$69$	−21.8827	−	54.7788i	−0.317141	−	0.793895i
$70$	18.2575	+	4.95256i	0.260821	+	0.0707508i
$71$	100.652			1.41763			0.708815	−	0.705394i	$-0.249230\pi$
$71$	100.652			1.41763			0.708815	+	0.705394i	$0.249230\pi$
$72$	70.1490	−	16.2210i	0.974291	−	0.225292i
$73$			61.6188i			0.844093i	0.906574	+	0.422046i	$0.138688\pi$
$73$			61.6188i			0.844093i	−0.906574	+	0.422046i	$0.861312\pi$
$74$	−16.8225	−	4.56331i	−0.227331	−	0.0616663i
$75$	6.85661	−	47.4377i	0.0914215	−	0.632503i
$76$	−8.95133	−	34.2517i	−0.117781	−	0.450681i
$77$	−46.9517	+	12.5807i	−0.609762	+	0.163385i
$78$	8.88587	−	1.02789i	0.113921	−	0.0131781i
$79$	39.1706	+	67.8455i	0.495830	+	0.858803i	0.999988	−	0.00480807i	$-0.00153046\pi$
$79$	39.1706	+	67.8455i	0.495830	+	0.858803i	−0.504158	+	0.863611i	$0.668197\pi$
$80$	−34.4019	+	33.5622i	−0.430024	+	0.419528i
$81$	−72.1060	+	36.9015i	−0.890198	+	0.455574i
$82$	0.216914	−	70.2297i	0.00264529	−	0.856460i
$83$	34.0981	−	127.256i	0.410821	−	1.53320i	−0.382241	−	0.924063i	$-0.624847\pi$
$83$	34.0981	−	127.256i	0.410821	−	1.53320i	0.793062	−	0.609142i	$-0.208486\pi$
$84$	−29.5394	−	23.5628i	−0.351660	−	0.280510i
$85$	4.97776	−	1.33379i	0.0585619	−	0.0156916i
$86$	−33.1871	−	125.404i	−0.385896	−	1.45819i
$87$	29.4890	+	39.4540i	0.338955	+	0.453495i
$88$	33.0666	−	118.985i	0.375757	−	1.35211i
$89$	82.3462			0.925238			0.462619	−	0.886557i	$-0.346910\pi$
$89$	82.3462			0.925238			0.462619	+	0.886557i	$0.346910\pi$
$90$	28.3525	−	46.0394i	0.315027	−	0.511549i
$91$	−3.31948	−	3.31948i	−0.0364778	−	0.0364778i
$92$	−38.9037	−	68.3549i	−0.422867	−	0.742988i
$93$	−51.2050	−	128.181i	−0.550592	−	1.37829i
$94$	−86.6722	+	149.056i	−0.922045	+	1.58570i
$95$	−23.0238	−	13.2928i	−0.242356	−	0.139924i
$96$	89.6892	−	34.2322i	0.934263	−	0.356585i
$97$	77.4982	+	134.231i	0.798951	+	1.38382i	0.920300	+	0.391213i	$0.127945\pi$
$97$	77.4982	+	134.231i	0.798951	+	1.38382i	−0.121349	+	0.992610i	$0.538722\pi$
$98$	0.241436	−	78.1693i	0.00246364	−	0.797646i
$99$	−3.51334	+	138.887i	−0.0354882	+	1.40290i
$100$	0.394770	−	63.9063i	0.00394770	−	0.639063i
$101$	160.582	+	43.0279i	1.58992	+	0.426019i	0.941980	−	0.335670i	$-0.108963\pi$
$101$	160.582	+	43.0279i	1.58992	+	0.426019i	0.647943	+	0.761689i	$0.275629\pi$
$102$	−10.1830	−	1.50397i	−0.0998337	−	0.0147448i
$103$	15.6351	+	9.02692i	0.151797	+	0.0876400i	0.573975	−	0.818873i	$-0.305401\pi$
$103$	15.6351	+	9.02692i	0.151797	+	0.0876400i	−0.422178	+	0.906513i	$0.638734\pi$
$104$	11.5485	−	2.98001i	0.111044	−	0.0286540i
$105$	−28.1777	+	3.34775i	−0.268359	+	0.0318833i
$106$	11.7270	−	43.2313i	0.110632	−	0.407843i
$107$	20.2819	−	20.2819i	0.189551	−	0.189551i	−0.605951	−	0.795502i	$-0.707207\pi$
$107$	20.2819	−	20.2819i	0.189551	−	0.189551i	0.795502	+	0.605951i	$0.207207\pi$
$108$	−88.4982	+	61.9037i	−0.819428	+	0.573183i
$109$	0.165303	−	0.165303i	0.00151654	−	0.00151654i	−0.706348	−	0.707865i	$-0.749659\pi$
$109$	0.165303	−	0.165303i	0.00151654	−	0.00151654i	0.707865	+	0.706348i	$0.249659\pi$
$110$	−46.1216	−	80.4578i	−0.419287	−	0.731435i
$111$	25.9630	−	3.08463i	0.233901	−	0.0277895i
$112$	−43.3170	−	25.7278i	−0.386759	−	0.229712i
$113$	−151.239	−	87.3181i	−1.33840	−	0.772726i	−0.351831	−	0.936064i	$-0.614441\pi$
$113$	−151.239	−	87.3181i	−1.33840	−	0.772726i	−0.986570	+	0.163337i	$0.947774\pi$
$114$	31.6603	+	42.6330i	0.277722	+	0.373973i
$115$	−57.0510	−	15.2868i	−0.496096	−	0.132928i
$116$	46.1519	+	46.7257i	0.397861	+	0.402807i
$117$	−11.7860	+	6.41284i	−0.100735	+	0.0548106i
$118$	−36.1233	−	36.3471i	−0.306130	−	0.308027i
$119$	2.70105	+	4.67835i	0.0226979	+	0.0393139i
$120$	29.0412	−	65.9842i	0.242010	−	0.549869i
$121$	101.581	+	58.6476i	0.839509	+	0.484691i
$122$	−101.771	+	26.9329i	−0.834189	+	0.220761i
$123$	39.0799	+	97.8281i	0.317723	+	0.795351i
$124$	−91.0337	−	159.949i	−0.734143	−	1.28991i
$125$	−87.0367	−	87.0367i	−0.696293	−	0.696293i
$126$	54.3094	+	16.2172i	0.431027	+	0.128708i
$127$	−157.229			−1.23802			−0.619011	−	0.785382i	$-0.712466\pi$
$127$	−157.229			−1.23802			−0.619011	+	0.785382i	$0.712466\pi$
$128$	112.209	−	61.5886i	0.876632	−	0.481161i
$129$	116.492	+	155.857i	0.903040	+	1.20820i
$130$	4.50224	−	7.74277i	0.0346326	−	0.0595598i
$131$	−90.2916	+	24.1936i	−0.689249	+	0.184684i	−0.586410	−	0.810014i	$-0.699459\pi$
$131$	−90.2916	+	24.1936i	−0.689249	+	0.184684i	−0.102839	+	0.994698i	$0.532793\pi$
$132$	20.7179	+	184.080i	0.156954	+	1.39454i
$133$	7.21299	−	26.9192i	0.0542330	−	0.202400i
$134$	138.743	+	139.603i	1.03539	+	1.04181i
$135$	−13.6283	+	79.9507i	−0.100951	+	0.592228i
$136$	−13.7241	−	0.127169i	−0.100912	−	0.000935068i
$137$	49.6591	+	86.0121i	0.362475	+	0.627826i	0.988368	−	0.152084i	$-0.0485984\pi$
$137$	49.6591	+	86.0121i	0.362475	+	0.627826i	−0.625892	+	0.779910i	$0.715265\pi$
$138$	92.4549	+	73.2828i	0.669963	+	0.531034i
$139$	−184.778	+	49.5112i	−1.32934	+	0.356195i	−0.852469	−	0.522778i	$-0.824896\pi$
$139$	−184.778	+	49.5112i	−1.32934	+	0.356195i	−0.476871	+	0.878974i	$0.658229\pi$
$140$	−36.6051	+	9.56636i	−0.261465	+	0.0683311i
$141$	36.9983	−	255.974i	0.262400	−	1.81542i
$142$	−174.644	+	100.113i	−1.22989	+	0.705020i
$143$			23.0140i			0.160937i
$144$	−105.584	+	97.9189i	−0.733219	+	0.679993i
$145$	49.3199			0.340137
$146$	−61.2888	−	106.917i	−0.419786	−	0.732306i
$147$	43.4979	+	108.888i	0.295904	+	0.740733i
$148$	33.7281	−	8.81448i	0.227893	−	0.0595573i
$149$	8.83929	+	32.9887i	0.0593241	+	0.221401i	0.989223	−	0.146413i	$-0.0467730\pi$
$149$	8.83929	+	32.9887i	0.0593241	+	0.221401i	−0.929899	+	0.367814i	$0.880106\pi$
$150$	35.2866	+	89.1305i	0.235244	+	0.594203i
$151$	−108.388	+	62.5780i	−0.717803	+	0.414424i	−0.813944	−	0.580944i	$-0.802684\pi$
$151$	−108.388	+	62.5780i	−0.717803	+	0.414424i	0.0961405	+	0.995368i	$0.469350\pi$
$152$	49.6001	+	50.5279i	0.326316	+	0.332420i
$153$	15.0104	−	3.61780i	0.0981074	−	0.0236458i
$154$	68.9540	−	68.5294i	0.447753	−	0.444996i
$155$	−133.498	−	35.7706i	−0.861277	−	0.230778i
$156$	−14.3958	+	10.6218i	−0.0922805	+	0.0680886i
$157$	−10.5996	−	39.5583i	−0.0675134	−	0.251963i	0.923918	−	0.382590i	$-0.124968\pi$
$157$	−10.5996	−	39.5583i	−0.0675134	−	0.251963i	−0.991432	+	0.130627i	$0.958301\pi$
$158$	−135.448	−	78.7599i	−0.857268	−	0.498480i
$159$	7.92705	+	66.7212i	0.0498556	+	0.419630i
$160$	26.3094	−	92.4526i	0.164433	−	0.577829i
$161$		−	61.9143i		−	0.384561i
$162$	88.4095	−	135.749i	0.545738	−	0.837956i
$163$	70.0945	−	70.0945i	0.430028	−	0.430028i	−0.458610	−	0.888638i	$-0.651652\pi$
$163$	70.0945	−	70.0945i	0.430028	−	0.430028i	0.888638	+	0.458610i	$0.151652\pi$
$164$	69.4773	+	122.073i	0.423642	+	0.744351i
$165$	109.283	+	86.0733i	0.662324	+	0.521657i
$166$	67.4098	+	254.721i	0.406083	+	1.53447i
$167$	155.978	−	270.162i	0.934000	−	1.61774i	0.157594	−	0.987504i	$-0.449626\pi$
$167$	155.978	−	270.162i	0.934000	−	1.61774i	0.776407	−	0.630232i	$-0.217040\pi$
$168$	74.6914	+	11.5033i	0.444592	+	0.0684723i
$169$	144.433	−	83.3887i	0.854636	−	0.493424i
$170$	−7.31042	+	7.26540i	−0.0430025	+	0.0427377i
$171$	−67.9538	−	41.5591i	−0.397391	−	0.243036i
$172$	182.316	+	184.583i	1.05998	+	1.07316i
$173$	29.0627	−	108.463i	0.167992	−	0.626956i	−0.829647	−	0.558288i	$-0.811458\pi$
$173$	29.0627	−	108.463i	0.167992	−	0.626956i	0.997640	−	0.0686680i	$-0.0218749\pi$
$174$	−90.4101	−	39.1268i	−0.519598	−	0.224866i
$175$	25.1543	−	43.5685i	0.143739	−	0.248963i
$176$	60.9732	+	239.345i	0.346439	+	1.35991i
$177$	70.6381	+	30.3113i	0.399085	+	0.171250i
$178$	−142.881	+	81.9053i	−0.802705	+	0.460142i
$179$	19.9359	+	19.9359i	0.111374	+	0.111374i	0.760597	−	0.649224i	$-0.224906\pi$
$179$	19.9359	+	19.9359i	0.111374	+	0.111374i	−0.649224	+	0.760597i	$0.724906\pi$
$180$	−3.40237	+	108.085i	−0.0189021	+	0.600473i
$181$	−184.590	−	184.590i	−1.01983	−	1.01983i	−0.999799	−	0.0200327i	$-0.993623\pi$
$181$	−184.590	−	184.590i	−1.01983	−	1.01983i	−0.0200327	−	0.999799i	$-0.506377\pi$
$182$	9.06143	+	2.45803i	0.0497881	+	0.0135056i
$183$	126.485	−	94.5388i	0.691178	−	0.516605i
$184$	135.492	+	79.9093i	0.736370	+	0.434290i
$185$	13.0896	−	22.6719i	0.0707546	−	0.122551i
$186$	216.342	+	171.480i	1.16313	+	0.921934i
$187$	6.85434	−	25.5808i	0.0366543	−	0.136796i
$188$	2.13018	−	344.839i	0.0113308	−	1.83425i
$189$	−84.6514	+	7.89222i	−0.447891	+	0.0417578i
$190$	53.1710	+	0.164226i	0.279848	+	0.000864346i
$191$	−104.101	+	60.1025i	−0.545029	+	0.314673i	−0.747115	−	0.664695i	$-0.768561\pi$
$191$	−104.101	+	60.1025i	−0.545029	+	0.314673i	0.202085	+	0.979368i	$0.435228\pi$
$192$	−121.574	+	148.606i	−0.633196	+	0.773991i
$193$	116.405	−	201.619i	0.603133	−	1.04466i	−0.389210	−	0.921149i	$-0.627252\pi$
$193$	116.405	−	201.619i	0.603133	−	1.04466i	0.992344	−	0.123508i	$-0.0394146\pi$
$194$	−267.982	−	155.825i	−1.38135	−	0.803221i
$195$	−1.92190	+	13.2967i	−0.00985589	+	0.0681883i
$196$	77.3318	+	135.874i	0.394550	+	0.693235i
$197$	−187.650	+	187.650i	−0.952537	+	0.952537i	−0.998924	−	0.0463865i	$-0.985229\pi$
$197$	−187.650	+	187.650i	−0.952537	+	0.952537i	0.0463865	+	0.998924i	$0.485229\pi$
$198$	−132.047	−	244.481i	−0.666905	−	1.23475i
$199$			334.994i			1.68339i	0.539954	+	0.841694i	$0.318442\pi$
$199$			334.994i			1.68339i	−0.539954	+	0.841694i	$0.681558\pi$
$200$	62.8792	+	111.279i	0.314396	+	0.556393i
$201$	−271.308	−	116.420i	−1.34979	−	0.579205i
$202$	−321.429	+	85.0634i	−1.59123	+	0.421106i
$203$	13.3811	+	49.9388i	0.0659165	+	0.246004i
$204$	19.1648	−	7.51893i	0.0939453	−	0.0368575i
$205$	101.886	+	27.3003i	0.497005	+	0.133172i
$206$	−36.1075	−	0.111523i	−0.175279	−	0.000541373i
$207$	−169.721	−	50.1095i	−0.819907	−	0.242075i
$208$	−17.0742	+	16.6574i	−0.0820874	+	0.0800837i
$209$	−118.320	+	68.3119i	−0.566123	+	0.326851i
$210$	45.5622	−	33.8356i	0.216963	−	0.161122i
$211$	−22.6219	−	84.4259i	−0.107213	−	0.400123i	0.891374	−	0.453268i	$-0.149742\pi$
$211$	−22.6219	−	84.4259i	−0.107213	−	0.400123i	−0.998587	+	0.0531454i	$0.983075\pi$
$212$	22.6519	+	86.6762i	0.106849	+	0.408850i
$213$	186.833	−	237.214i	0.877152	−	1.11368i
$214$	−15.0185	+	55.3652i	−0.0701798	+	0.258716i
$215$	194.831			0.906191
$216$	91.9837	−	195.435i	0.425850	−	0.904794i
$217$		−	144.878i		−	0.667640i
$218$	−0.122404	+	0.451239i	−0.000561487	+	0.00206990i
$219$	145.222	+	114.379i	0.663112	+	0.522278i
$220$	160.054	+	93.7302i	0.727518	+	0.426046i
$221$	2.47053	−	0.661978i	0.0111789	−	0.00299537i
$222$	−41.9812	+	31.1763i	−0.189104	+	0.140434i
$223$	−69.9040	−	121.077i	−0.313471	−	0.542947i	0.665640	−	0.746273i	$-0.268158\pi$
$223$	−69.9040	−	121.077i	−0.313471	−	0.542947i	−0.979111	+	0.203325i	$0.934825\pi$
$224$	100.751	+	1.55603i	0.449780	+	0.00694655i
$225$	−99.0725	−	104.215i	−0.440322	−	0.463178i
$226$	349.271	+	1.07877i	1.54545	+	0.00477331i
$227$	−18.3040	+	68.3114i	−0.0806343	+	0.300931i	−0.994452	−	0.105194i	$-0.966454\pi$
$227$	−18.3040	+	68.3114i	−0.0806343	+	0.300931i	0.913817	+	0.406125i	$0.133120\pi$
$228$	−97.3395	−	42.4830i	−0.426927	−	0.186329i
$229$	−179.795	+	48.1760i	−0.785132	+	0.210376i	−0.629046	−	0.777368i	$-0.716554\pi$
$229$	−179.795	+	48.1760i	−0.785132	+	0.210376i	−0.156086	+	0.987743i	$0.549888\pi$
$230$	114.196	−	30.2210i	0.496504	−	0.131396i
$231$	−57.5035	+	134.007i	−0.248933	+	0.580118i
$232$	−126.555	−	35.1703i	−0.545496	−	0.151596i
$233$	−298.248			−1.28003			−0.640016	−	0.768361i	$-0.721072\pi$
$233$	−298.248			−1.28003			−0.640016	+	0.768361i	$0.721072\pi$
$234$	14.0717	−	22.8500i	0.0601356	−	0.0976496i
$235$	−183.117	−	183.117i	−0.779220	−	0.779220i
$236$	98.8312	+	27.1372i	0.418776	+	0.114988i
$237$	232.606	+	33.6208i	0.981461	+	0.141860i
$238$	−9.33997	−	5.43097i	−0.0392436	−	0.0228192i
$239$	349.332	+	201.687i	1.46164	+	0.843878i	0.999087	−	0.0427149i	$-0.0136007\pi$
$239$	349.332	+	201.687i	1.46164	+	0.843878i	0.462551	+	0.886592i	$0.346934\pi$
$240$	15.2406	+	143.377i	0.0635025	+	0.597404i
$241$	13.9214	+	24.1126i	0.0577652	+	0.100052i	0.893462	−	0.449139i	$-0.148269\pi$
$241$	13.9214	+	24.1126i	0.0577652	+	0.100052i	−0.835697	+	0.549191i	$0.814936\pi$
$242$	−234.589	−	0.724560i	−0.969377	−	0.00299405i
$243$	−46.8772	+	238.436i	−0.192910	+	0.981216i
$244$	149.798	−	147.958i	0.613924	−	0.606386i
$245$	113.405	+	30.3866i	0.462876	+	0.124027i
$246$	−165.113	−	130.874i	−0.671191	−	0.532008i
$247$	−11.4271	−	6.59742i	−0.0462634	−	0.0267102i
$248$	317.048	+	186.986i	1.27842	+	0.753975i
$249$	−236.620	−	316.579i	−0.950280	−	1.27140i
$250$	237.591	+	64.4494i	0.950363	+	0.257798i
$251$	−51.9748	+	51.9748i	−0.207071	+	0.207071i	−0.803021	−	0.595950i	$-0.796775\pi$
$251$	−51.9748	+	51.9748i	−0.207071	+	0.207071i	0.595950	+	0.803021i	$0.296775\pi$
$252$	−110.364	+	25.8796i	−0.437954	+	0.102697i
$253$	−214.627	+	214.627i	−0.848327	+	0.848327i
$254$	272.812	−	156.387i	1.07406	−	0.615696i
$255$	6.09646	−	14.2073i	0.0239077	−	0.0557149i
$256$	−133.438	+	218.472i	−0.521244	+	0.853408i
$257$	−76.8094	−	44.3459i	−0.298869	−	0.172552i	0.343066	−	0.939311i	$-0.388535\pi$
$257$	−76.8094	−	44.3459i	−0.298869	−	0.172552i	−0.641935	+	0.766759i	$0.721868\pi$
$258$	−357.152	−	154.565i	−1.38431	−	0.599087i
$259$	26.5077	+	7.10271i	0.102346	+	0.0274236i
$260$	−0.110654	+	17.9129i	−0.000425590	+	0.0688956i
$261$	147.723	+	3.73686i	0.565988	+	0.0143175i
$262$	132.604	−	131.787i	0.506121	−	0.503004i
$263$	−227.617	−	394.243i	−0.865462	−	1.49902i	−0.866588	−	0.499025i	$-0.833692\pi$
$263$	−227.617	−	394.243i	−0.865462	−	1.49902i	0.00112531	−	0.999999i	$-0.499642\pi$
$264$	−219.042	−	298.795i	−0.829705	−	1.13180i
$265$	58.2633	+	33.6383i	0.219862	+	0.126937i
$266$	14.2596	+	53.8828i	0.0536076	+	0.202567i
$267$	152.854	−	194.072i	0.572486	−	0.726860i
$268$	−379.592	−	104.229i	−1.41639	−	0.388914i
$269$	270.906	+	270.906i	1.00709	+	1.00709i	0.999975	+	0.00711237i	$0.00226396\pi$
$269$	270.906	+	270.906i	1.00709	+	1.00709i	0.00711237	+	0.999975i	$0.497736\pi$
$270$	−55.8757	−	152.280i	−0.206947	−	0.564001i
$271$	−233.539			−0.861769			−0.430884	−	0.902407i	$-0.641798\pi$
$271$	−233.539			−0.861769			−0.430884	+	0.902407i	$0.641798\pi$
$272$	23.9396	−	13.4299i	0.0880132	−	0.0493748i
$273$	−13.9850	+	1.66154i	−0.0512271	+	0.00608622i
$274$	−171.717	−	99.8491i	−0.626703	−	0.364413i
$275$	−238.228	+	63.8331i	−0.866285	+	0.232120i
$276$	−233.312	−	35.1954i	−0.845332	−	0.127519i
$277$	95.6554	−	356.991i	0.345327	−	1.28878i	−0.546904	−	0.837195i	$-0.684194\pi$
$277$	95.6554	−	356.991i	0.345327	−	1.28878i	0.892230	−	0.451581i	$-0.149140\pi$
$278$	271.368	−	269.697i	0.976145	−	0.970134i
$279$	−397.142	−	117.255i	−1.42345	−	0.420269i
$280$	53.9995	−	53.0080i	0.192856	−	0.189314i
$281$	53.4344	+	92.5511i	0.190158	+	0.329363i	0.945302	−	0.326195i	$-0.105767\pi$
$281$	53.4344	+	92.5511i	0.190158	+	0.329363i	−0.755144	+	0.655558i	$0.772433\pi$
$282$	190.407	+	480.949i	0.675201	+	1.70549i
$283$	185.291	−	49.6487i	0.654740	−	0.175437i	0.0838690	−	0.996477i	$-0.473272\pi$
$283$	185.291	−	49.6487i	0.654740	−	0.175437i	0.570871	+	0.821040i	$0.306606\pi$
$284$	203.454	−	347.418i	0.716386	−	1.22330i
$285$	−74.0659	+	29.5874i	−0.259880	+	0.103816i
$286$	−22.8908	−	39.9323i	−0.0800378	−	0.139624i
$287$			110.571i			0.385266i
$288$	85.8066	−	274.920i	0.297940	−	0.954585i
$289$	286.057			0.989816
$290$	−85.5765	+	49.0558i	−0.295092	+	0.169158i
$291$	460.207	+	66.5180i	1.58147	+	0.228584i
$292$	212.688	+	124.554i	0.728385	+	0.426554i
$293$	69.4104	+	259.043i	0.236896	+	0.884106i	0.977285	+	0.211928i	$0.0679744\pi$
$293$	69.4104	+	259.043i	0.236896	+	0.884106i	−0.740390	+	0.672178i	$0.765359\pi$
$294$	−183.779	−	145.670i	−0.625100	−	0.495475i
$295$	66.6541	−	38.4828i	0.225946	−	0.130450i
$296$	−49.7554	+	48.8418i	−0.168093	+	0.165006i
$297$	320.804	+	266.087i	1.08015	+	0.895915i
$298$	−48.1494	−	48.4477i	−0.161575	−	0.162576i
$299$	−28.3152	−	7.58704i	−0.0946997	−	0.0253747i
$300$	−149.880	−	119.556i	−0.499600	−	0.398518i
$301$	52.8599	+	197.276i	0.175614	+	0.655401i
$302$	125.825	−	216.389i	0.416639	−	0.716520i
$303$	399.485	−	298.586i	1.31843	−	0.985434i
$304$	−136.320	−	38.3380i	−0.448421	−	0.126112i
$305$		−	158.115i		−	0.518408i
$306$	−22.4466	+	21.2074i	−0.0733550	+	0.0693053i
$307$	158.023	−	158.023i	0.514734	−	0.514734i	−0.401240	−	0.915973i	$-0.631421\pi$
$307$	158.023	−	158.023i	0.514734	−	0.514734i	0.915973	+	0.401240i	$0.131421\pi$
$308$	−51.4818	+	187.492i	−0.167149	+	0.608741i
$309$	50.2968	−	20.0923i	0.162773	−	0.0650237i
$310$	267.215	−	70.7163i	0.861985	−	0.228117i
$311$	−79.4511	+	137.613i	−0.255470	+	0.442486i	−0.965023	−	0.262165i	$-0.915563\pi$
$311$	−79.4511	+	137.613i	−0.255470	+	0.442486i	0.709553	+	0.704652i	$0.248897\pi$
$312$	14.4136	−	32.7489i	0.0461974	−	0.104964i
$313$	−235.949	+	136.225i	−0.753830	+	0.435224i	−0.827076	−	0.562090i	$-0.809998\pi$
$313$	−235.949	+	136.225i	−0.753830	+	0.435224i	0.0732460	+	0.997314i	$0.476664\pi$
$314$	57.7381	+	58.0959i	0.183879	+	0.185019i
$315$	−44.4145	+	72.6228i	−0.140999	+	0.230548i
$316$	313.359	+	1.93572i	0.991642	+	0.00612569i
$317$	−85.4196	+	318.790i	−0.269463	+	1.00565i	0.689999	+	0.723810i	$0.257611\pi$
$317$	−85.4196	+	318.790i	−0.269463	+	1.00565i	−0.959462	+	0.281838i	$0.909056\pi$
$318$	−80.1184	−	107.885i	−0.251945	−	0.339262i
$319$	126.728	−	219.499i	0.397266	−	0.688084i
$320$	46.3074	+	186.586i	0.144711	+	0.583081i
$321$	−10.1520	−	85.4480i	−0.0316260	−	0.266193i
$322$	61.5828	+	107.429i	0.191251	+	0.333632i
$323$	10.7366	+	10.7366i	0.0332402	+	0.0332402i
$324$	−18.3801	+	323.478i	−0.0567288	+	0.998390i
$325$	−16.8427	−	16.8427i	−0.0518237	−	0.0518237i
$326$	−51.9040	+	191.342i	−0.159215	+	0.586940i
$327$	−0.0827408	−	0.696421i	−0.000253030	−	0.00212973i
$328$	−241.972	−	142.708i	−0.737720	−	0.435086i
$329$	135.733	−	235.096i	0.412561	−	0.714577i
$330$	−275.233	−	40.6503i	−0.834041	−	0.123183i
$331$	79.1577	−	295.420i	0.239147	−	0.892509i	−0.737088	−	0.675796i	$-0.763800\pi$
$331$	79.1577	−	295.420i	0.239147	−	0.892509i	0.976235	−	0.216713i	$-0.0695335\pi$
$332$	−370.322	−	374.926i	−1.11543	−	1.12930i
$333$	40.9237	−	66.9149i	0.122894	−	0.200946i
$334$	−1.92703	+	623.909i	−0.00576954	+	1.86799i
$335$	−256.006	+	147.805i	−0.764197	+	0.441209i
$336$	−141.041	+	54.3316i	−0.419765	+	0.161701i
$337$	303.745	−	526.101i	0.901320	−	1.56113i	0.0755371	−	0.997143i	$-0.475933\pi$
$337$	303.745	−	526.101i	0.901320	−	1.56113i	0.825783	−	0.563989i	$-0.190734\pi$
$338$	−167.669	+	288.350i	−0.496061	+	0.853108i
$339$	−486.525	+	194.354i	−1.43518	+	0.573317i
$340$	5.45804	−	19.8777i	0.0160531	−	0.0584639i
$341$	−502.221	+	502.221i	−1.47279	+	1.47279i
$342$	159.245	+	4.52053i	0.465629	+	0.0132179i
$343$			277.365i			0.808643i
$344$	−499.937	−	138.935i	−1.45331	−	0.403882i
$345$	−141.928	+	106.081i	−0.411384	+	0.307480i
$346$	57.4551	+	217.105i	0.166055	+	0.627472i
$347$	135.853	+	507.010i	0.391507	+	1.46112i	0.827649	+	0.561246i	$0.189678\pi$
$347$	135.853	+	507.010i	0.391507	+	1.46112i	−0.436142	+	0.899878i	$0.643655\pi$
$348$	195.791	−	22.0360i	0.562617	−	0.0633217i
$349$	138.405	+	37.0856i	0.396577	+	0.106262i	0.451595	−	0.892223i	$-0.350855\pi$
$349$	138.405	+	37.0856i	0.396577	+	0.106262i	−0.0550184	+	0.998485i	$0.517522\pi$
$350$	−0.310768	+	100.617i	−0.000887908	+	0.287476i
$351$	−6.76393	+	39.6807i	−0.0192705	+	0.113050i
$352$	−343.860	−	354.648i	−0.976874	−	1.00752i
$353$	−17.4894	+	10.0975i	−0.0495449	+	0.0286048i	−0.524568	−	0.851369i	$-0.675773\pi$
$353$	−17.4894	+	10.0975i	−0.0495449	+	0.0286048i	0.475023	+	0.879973i	$0.342440\pi$
$354$	−152.715	+	17.6657i	−0.431399	+	0.0499032i
$355$	−78.2521	−	292.041i	−0.220428	−	0.822650i
$356$	166.451	−	284.233i	0.467560	−	0.798407i
$357$	16.0396	+	2.31835i	0.0449288	+	0.00649398i
$358$	−54.4206	−	14.7622i	−0.152013	−	0.0412353i
$359$	50.9850			0.142020			0.0710098	−	0.997476i	$-0.477378\pi$
$359$	50.9850			0.142020			0.0710098	+	0.997476i	$0.477378\pi$
$360$	−101.603	−	190.926i	−0.282230	−	0.530350i
$361$			282.668i			0.783014i
$362$	503.888	+	136.686i	1.39196	+	0.377585i
$363$	326.777	−	130.539i	0.900211	−	0.359612i
$364$	−18.1676	+	4.74792i	−0.0499111	+	0.0130437i
$365$	178.787	−	47.9057i	0.489826	−	0.131249i
$366$	−125.436	+	289.845i	−0.342722	+	0.791927i
$367$	232.484	+	402.673i	0.633470	+	1.09720i	0.986837	+	0.161718i	$0.0517034\pi$
$367$	232.484	+	402.673i	0.633470	+	1.09720i	−0.353367	+	0.935485i	$0.614963\pi$
$368$	−314.578	−	3.88665i	−0.854831	−	0.0105615i
$369$	303.100	+	89.4894i	0.821410	+	0.242519i
$370$	−0.161715	+	52.3581i	−0.000437068	+	0.141509i
$371$	−18.2529	+	68.1208i	−0.0491992	+	0.183614i
$372$	−545.943	−	82.3563i	−1.46759	−	0.221388i
$373$	−78.4727	+	21.0267i	−0.210383	+	0.0563719i	−0.362471	−	0.931995i	$-0.618067\pi$
$373$	−78.4727	+	21.0267i	−0.210383	+	0.0563719i	0.152088	+	0.988367i	$0.451400\pi$
$374$	13.5506	+	51.2036i	0.0362316	+	0.136908i
$375$	−366.686	+	43.5655i	−0.977830	+	0.116175i
$376$	339.297	+	600.460i	0.902384	+	1.59697i
$377$	24.4782			0.0649289
$378$	139.031	−	97.8922i	0.367808	−	0.258974i
$379$	190.483	+	190.483i	0.502594	+	0.502594i	0.912243	−	0.409649i	$-0.134349\pi$
$379$	190.483	+	190.483i	0.502594	+	0.502594i	−0.409649	+	0.912243i	$0.634349\pi$
$380$	−92.4221	+	52.6014i	−0.243216	+	0.138425i
$381$	−291.853	+	370.553i	−0.766019	+	0.972580i
$382$	120.848	−	207.829i	0.316355	−	0.544055i
$383$	91.3122	+	52.7191i	0.238413	+	0.137648i	0.614447	−	0.788958i	$-0.289379\pi$
$383$	91.3122	+	52.7191i	0.238413	+	0.137648i	−0.376034	+	0.926606i	$0.622712\pi$
$384$	63.1356	−	378.774i	0.164416	−	0.986391i
$385$	73.0055	+	126.449i	0.189625	+	0.328440i
$386$	−1.43812	+	465.617i	−0.00372570	+	1.20626i
$387$	583.558	+	14.7619i	1.50790	+	0.0381444i
$388$	619.974	+	3.82978i	1.59787	+	0.00987057i
$389$	−84.6218	−	22.6743i	−0.217537	−	0.0582888i	0.148405	−	0.988927i	$-0.452586\pi$
$389$	−84.6218	−	22.6743i	−0.217537	−	0.0582888i	−0.365941	+	0.930638i	$0.619253\pi$
$390$	−9.89078	−	24.9832i	−0.0253610	−	0.0640594i
$391$	29.2135	+	16.8664i	0.0747149	+	0.0431367i
$392$	−269.327	−	158.842i	−0.687060	−	0.405208i
$393$	−110.584	+	257.706i	−0.281383	+	0.655740i
$394$	138.952	−	512.242i	0.352670	−	1.30011i
$395$	166.400	−	166.400i	0.421266	−	0.421266i
$396$	472.291	+	292.867i	1.19266	+	0.739564i
$397$	−286.956	+	286.956i	−0.722810	+	0.722810i	−0.969177	−	0.246367i	$-0.920763\pi$
$397$	−286.956	+	286.956i	−0.722810	+	0.722810i	0.246367	+	0.969177i	$0.420763\pi$
$398$	−333.201	−	581.259i	−0.837188	−	1.46045i
$399$	−50.0536	−	66.9678i	−0.125448	−	0.167839i
$400$	−219.786	−	130.540i	−0.549466	−	0.326351i
$401$	−274.000	−	158.194i	−0.683292	−	0.394499i	0.117802	−	0.993037i	$-0.462415\pi$
$401$	−274.000	−	158.194i	−0.683292	−	0.394499i	−0.801094	+	0.598538i	$0.795748\pi$
$402$	586.552	−	67.8508i	1.45908	−	0.168783i
$403$	−66.2569	−	17.7535i	−0.164409	−	0.0440533i
$404$	473.113	−	467.304i	1.17107	−	1.15669i
$405$	163.129	+	180.526i	0.402787	+	0.445744i
$406$	−72.8892	−	73.3409i	−0.179530	−	0.180643i
$407$	−67.2676	−	116.511i	−0.165277	−	0.286267i
$408$	−25.7748	+	32.1085i	−0.0631736	+	0.0786974i
$409$	126.432	+	72.9956i	0.309125	+	0.178473i	0.646535	−	0.762884i	$-0.276217\pi$
$409$	126.432	+	72.9956i	0.309125	+	0.178473i	−0.337410	+	0.941358i	$0.609551\pi$
$410$	−203.940	+	53.9710i	−0.497414	+	0.131636i
$411$	294.890	+	42.6232i	0.717495	+	0.103706i
$412$	62.7622	−	35.7207i	0.152335	−	0.0867007i
$413$	57.0496	+	57.0496i	0.138135	+	0.138135i
$414$	344.329	−	81.8654i	0.831712	−	0.197743i
$415$	−395.742			−0.953596
$416$	13.0577	−	45.8856i	0.0313887	−	0.110302i
$417$	−226.305	+	527.385i	−0.542698	+	1.26471i
$418$	137.354	−	236.216i	0.328598	−	0.565111i
$419$	−261.291	+	70.0127i	−0.623606	+	0.167095i	−0.556767	−	0.830669i	$-0.687958\pi$
$419$	−261.291	+	70.0127i	−0.623606	+	0.167095i	−0.0668394	+	0.997764i	$0.521292\pi$
$420$	−45.4019	+	104.027i	−0.108100	+	0.247684i
$421$	−1.82506	+	6.81122i	−0.00433506	+	0.0161787i	−0.968059	−	0.250721i	$-0.919332\pi$
$421$	−1.82506	+	6.81122i	−0.00433506	+	0.0161787i	0.963724	+	0.266899i	$0.0859991\pi$
$422$	123.226	+	123.989i	0.292004	+	0.293814i
$423$	−534.596	−	562.345i	−1.26382	−	1.32942i
$424$	−125.516	−	127.864i	−0.296029	−	0.301566i
$425$	13.7048	+	23.7375i	0.0322467	+	0.0558529i
$426$	−88.2367	+	597.430i	−0.207128	+	1.40242i
$427$	160.098	−	42.8983i	0.374938	−	0.100464i
$428$	−29.0097	−	111.004i	−0.0677796	−	0.259355i
$429$	54.2389	+	42.7194i	0.126431	+	0.0995791i
$430$	−338.058	+	193.788i	−0.786180	+	0.450670i
$431$		−	269.780i		−	0.625940i	−0.949763	−	0.312970i	$-0.898676\pi$
$431$		−	269.780i		−	0.625940i	0.949763	−	0.312970i	$-0.101324\pi$
$432$	34.7853	+	430.597i	0.0805214	+	0.996753i
$433$	−605.391			−1.39813			−0.699066	−	0.715057i	$-0.746401\pi$
$433$	−605.391			−1.39813			−0.699066	+	0.715057i	$0.746401\pi$
$434$	144.102	+	251.382i	0.332033	+	0.579222i
$435$	91.5493	−	116.236i	0.210458	−	0.267209i
$436$	−0.236436	−	0.904708i	−0.000542284	−	0.00207502i
$437$	−45.0408	−	168.095i	−0.103068	−	0.384656i
$438$	−365.745	−	54.0183i	−0.835034	−	0.123329i
$439$	63.3543	−	36.5776i	0.144315	−	0.0833204i	−0.426104	−	0.904674i	$-0.640114\pi$
$439$	63.3543	−	36.5776i	0.144315	−	0.0833204i	0.570419	+	0.821354i	$0.306781\pi$
$440$	−370.943	−	3.43721i	−0.843052	−	0.00781183i
$441$	337.367	+	99.6064i	0.765003	+	0.225865i
$442$	−3.62827	+	3.60592i	−0.00820875	+	0.00815820i
$443$	244.083	+	65.4019i	0.550978	+	0.147634i	0.523558	−	0.851990i	$-0.324604\pi$
$443$	244.083	+	65.4019i	0.550978	+	0.147634i	0.0274196	+	0.999624i	$0.491271\pi$
$444$	41.8335	−	95.8513i	0.0942196	−	0.215881i
$445$	−64.0203	−	238.927i	−0.143866	−	0.536915i
$446$	241.722	+	140.555i	0.541977	+	0.315146i
$447$	94.1548	+	40.4025i	0.210637	+	0.0903859i
$448$	−176.363	+	97.5113i	−0.393668	+	0.217659i
$449$		−	389.654i		−	0.867827i	−0.900954	−	0.433914i	$-0.857132\pi$
$449$		−	389.654i		−	0.867827i	0.900954	−	0.433914i	$-0.142868\pi$
$450$	275.561	+	82.2846i	0.612357	+	0.182855i
$451$	383.297	−	383.297i	0.849883	−	0.849883i
$452$	−607.103	+	345.529i	−1.34315	+	0.764444i
$453$	−53.7117	+	371.606i	−0.118569	+	0.820323i
$454$	−36.1858	−	136.735i	−0.0797045	−	0.301179i
$455$	−7.05071	+	12.2122i	−0.0154961	+	0.0268400i
$456$	211.152	−	23.1047i	0.463053	−	0.0506682i
$457$	−386.628	+	223.220i	−0.846013	+	0.488446i	−0.859304	−	0.511466i	$-0.829103\pi$
$457$	−386.628	+	223.220i	−0.846013	+	0.488446i	0.0132905	+	0.999912i	$0.495769\pi$
$458$	264.050	−	262.424i	0.576529	−	0.572979i
$459$	19.3365	−	42.0917i	0.0421275	−	0.0917031i
$460$	−168.086	+	166.022i	−0.365404	+	0.360917i
$461$	−45.8834	+	171.239i	−0.0995301	+	0.371451i	−0.997667	−	0.0682640i	$-0.978254\pi$
$461$	−45.8834	+	171.239i	−0.0995301	+	0.371451i	0.898137	+	0.439715i	$0.144921\pi$
$462$	−33.5136	−	289.716i	−0.0725402	−	0.627091i
$463$	−107.293	+	185.837i	−0.231735	+	0.401376i	−0.958319	−	0.285701i	$-0.907773\pi$
$463$	−107.293	+	185.837i	−0.231735	+	0.401376i	0.726584	+	0.687078i	$0.241107\pi$
$464$	254.572	−	64.8523i	0.548646	−	0.139768i
$465$	−332.107	+	248.226i	−0.714208	+	0.533819i
$466$	517.499	−	296.651i	1.11051	−	0.636589i
$467$	−391.382	−	391.382i	−0.838078	−	0.838078i	0.150528	−	0.988606i	$-0.451903\pi$
$467$	−391.382	−	391.382i	−0.838078	−	0.838078i	−0.988606	+	0.150528i	$0.951903\pi$
$468$	−1.68864	+	53.6442i	−0.00360821	+	0.114624i
$469$	−219.117	−	219.117i	−0.467201	−	0.467201i
$470$	499.868	+	135.595i	1.06355	+	0.288501i
$471$	−112.905	−	48.4485i	−0.239714	−	0.102863i
$472$	−198.477	+	51.2155i	−0.420502	+	0.108507i
$473$	500.619	−	867.098i	1.05839	−	1.83319i
$474$	−437.043	+	173.024i	−0.922032	+	0.365031i
$475$	36.5980	−	136.586i	0.0770484	−	0.287549i
$476$	21.6080	+	0.133479i	0.0453949	+	0.000280419i
$477$	171.961	+	105.168i	0.360506	+	0.220478i
$478$	−806.743	−	2.49173i	−1.68775	−	0.00521283i
$479$	35.9850	−	20.7760i	0.0751253	−	0.0433736i	−0.461967	−	0.886897i	$-0.652856\pi$
$479$	35.9850	−	20.7760i	0.0751253	−	0.0433736i	0.537092	+	0.843524i	$0.319523\pi$
$480$	−169.054	−	233.619i	−0.352195	−	0.486706i
$481$	6.49655	−	11.2524i	0.0135063	−	0.0233937i
$482$	−48.1389	−	27.9916i	−0.0998733	−	0.0580739i
$483$	−145.918	−	114.927i	−0.302108	−	0.237945i
$484$	407.764	−	232.076i	0.842487	−	0.479496i
$485$	329.219	−	329.219i	0.678802	−	0.678802i
$486$	−155.821	−	460.343i	−0.320619	−	0.947208i
$487$		−	541.550i		−	1.11201i	−0.831178	−	0.556007i	$-0.812333\pi$
$487$		−	541.550i		−	1.11201i	0.831178	−	0.556007i	$-0.187667\pi$
$488$	−112.752	+	405.722i	−0.231050	+	0.831398i
$489$	−35.0852	−	295.309i	−0.0717489	−	0.603904i
$490$	−226.996	+	60.0725i	−0.463256	+	0.122597i
$491$	−25.9694	−	96.9192i	−0.0528909	−	0.197391i	0.934425	−	0.356160i	$-0.115914\pi$
$491$	−25.9694	−	96.9192i	−0.0528909	−	0.197391i	−0.987316	+	0.158769i	$0.949248\pi$
$492$	416.666	+	62.8546i	0.846882	+	0.127753i
$493$	−27.2082	−	7.29042i	−0.0551891	−	0.0147879i
$494$	26.3895	+	0.0815076i	0.0534201	+	0.000164995i
$495$	405.711	−	97.7842i	0.819619	−	0.197544i
$496$	−736.104	−	9.09465i	−1.48408	−	0.0183360i
$497$	274.474	−	158.468i	0.552262	−	0.318849i
$498$	725.450	+	313.953i	1.45673	+	0.630427i
$499$	136.854	+	510.748i	0.274257	+	1.02354i	0.956337	+	0.292265i	$0.0944088\pi$
$499$	136.854	+	510.748i	0.274257	+	1.02354i	−0.682080	+	0.731277i	$0.738924\pi$
$500$	−476.355	+	124.490i	−0.952710	+	0.248981i
$501$	−347.179	−	869.089i	−0.692973	−	1.73471i
$502$	38.4866	−	141.879i	0.0766665	−	0.282628i
$503$	267.844			0.532493			0.266247	−	0.963905i	$-0.414216\pi$
$503$	267.844			0.532493			0.266247	+	0.963905i	$0.414216\pi$
$504$	165.756	−	154.678i	0.328880	−	0.306901i
$505$		−	499.381i		−	0.988873i
$506$	158.928	−	585.883i	0.314087	−	1.15787i
$507$	71.5739	−	495.186i	0.141171	−	0.976699i
$508$	−317.816	+	542.703i	−0.625622	+	1.06831i
$509$	768.693	−	205.971i	1.51020	−	0.404658i	0.593700	−	0.804687i	$-0.297667\pi$
$509$	768.693	−	205.971i	1.51020	−	0.404658i	0.916502	+	0.400029i	$0.131000\pi$
$510$	3.55307	+	30.7153i	0.00696681	+	0.0602261i
$511$	97.0136	+	168.033i	0.189851	+	0.328831i
$512$	14.2305	−	511.802i	0.0277940	−	0.999614i
$513$	−224.084	+	83.0084i	−0.436810	+	0.161810i
$514$	177.383	+	0.547870i	0.345103	+	0.00106590i
$515$	14.0360	−	52.3832i	0.0272544	−	0.101715i
$516$	773.443	−	87.0499i	1.49892	−	0.168701i
$517$	−1285.48	+	344.444i	−2.48643	+	0.666236i
$518$	−53.0590	+	14.0416i	−0.102430	+	0.0271074i
$519$	−201.677	−	269.828i	−0.388587	−	0.519899i
$520$	−17.6249	−	31.1912i	−0.0338941	−	0.0599831i
$521$	−182.164			−0.349643			−0.174821	−	0.984600i	$-0.555935\pi$
$521$	−182.164			−0.349643			−0.174821	+	0.984600i	$0.555935\pi$
$522$	−260.035	+	140.448i	−0.498152	+	0.269057i
$523$	11.9498	+	11.9498i	0.0228486	+	0.0228486i	0.718439	−	0.695590i	$-0.244857\pi$
$523$	11.9498	+	11.9498i	0.0228486	+	0.0228486i	−0.695590	+	0.718439i	$0.744857\pi$
$524$	−99.0034	+	360.562i	−0.188938	+	0.688095i
$525$	−55.9889	−	140.156i	−0.106646	−	0.266965i
$526$	787.077	+	457.666i	1.49634	+	0.870088i
$527$	68.3589	+	39.4670i	0.129713	+	0.0748900i
$528$	677.262	+	300.579i	1.28269	+	0.569279i
$529$	71.1908	+	123.306i	0.134576	+	0.233093i
$530$	−134.553	−	0.415584i	−0.253873	−	0.000784120i
$531$	202.558	−	110.213i	0.381465	−	0.207558i
$532$	−78.3365	−	79.3104i	−0.147249	−	0.149080i
$533$	50.5675	+	13.5495i	0.0948734	+	0.0254212i
$534$	−72.1891	+	488.775i	−0.135186	+	0.915309i
$535$	−74.6162	−	43.0797i	−0.139470	−	0.0805228i
$536$	762.313	−	196.709i	1.42223	−	0.366995i
$537$	83.9902	−	9.97875i	0.156406	−	0.0185824i
$538$	−739.514	−	200.602i	−1.37456	−	0.372867i
$539$	426.630	−	426.630i	0.791521	−	0.791521i
$540$	248.417	+	208.650i	0.460031	+	0.386389i
$541$	−5.36536	+	5.36536i	−0.00991749	+	0.00991749i	−0.712048	−	0.702131i	$-0.752232\pi$
$541$	−5.36536	+	5.36536i	−0.00991749	+	0.00991749i	0.702131	+	0.712048i	$0.252232\pi$
$542$	405.221	−	232.289i	0.747641	−	0.428577i
$543$	−777.678	+	92.3948i	−1.43219	+	0.170156i
$544$	−28.1803	+	47.1141i	−0.0518020	+	0.0866068i
$545$	−0.608140	−	0.351110i	−0.00111585	−	0.000644238i
$546$	22.6132	−	16.7931i	0.0414160	−	0.0307566i
$547$	765.138	+	205.018i	1.39879	+	0.374805i	0.877910	−	0.478825i	$-0.158937\pi$
$547$	765.138	+	205.018i	1.39879	+	0.374805i	0.520880	+	0.853630i	$0.325604\pi$
$548$	397.265	+	2.45404i	0.724937	+	0.00447817i
$549$	11.9800	−	473.584i	0.0218214	−	0.862630i
$550$	349.866	−	347.712i	0.636120	−	0.632203i
$551$	72.6579	+	125.847i	0.131866	+	0.228398i
$552$	439.833	−	170.994i	0.796799	−	0.309771i
$553$	213.634	+	123.342i	0.386318	+	0.223041i
$554$	189.105	+	714.569i	0.341344	+	1.28984i
$555$	−29.1351	−	72.9335i	−0.0524957	−	0.131412i
$556$	−202.607	+	737.875i	−0.364400	+	1.32711i
$557$	−395.606	−	395.606i	−0.710245	−	0.710245i	0.256342	−	0.966586i	$-0.417483\pi$
$557$	−395.606	−	395.606i	−0.710245	−	0.710245i	−0.966586	+	0.256342i	$0.917483\pi$
$558$	805.721	−	191.563i	1.44394	−	0.343303i
$559$	96.6975			0.172983
$560$	−40.9721	+	145.686i	−0.0731645	+	0.260154i
$561$	−47.5649	−	63.6381i	−0.0847858	−	0.113437i
$562$	−184.771	−	107.440i	−0.328774	−	0.191174i
$563$	−536.354	+	143.715i	−0.952671	+	0.255267i	−0.701495	−	0.712674i	$-0.747484\pi$
$563$	−536.354	+	143.715i	−0.952671	+	0.255267i	−0.251175	+	0.967942i	$0.580817\pi$
$564$	−808.754	−	645.123i	−1.43396	−	1.14383i
$565$	−135.771	+	506.706i	−0.240304	+	0.896825i
$566$	−272.122	+	270.446i	−0.480781	+	0.477820i
$567$	−138.533	+	214.154i	−0.244326	+	0.377697i
$568$	−7.46090	+	805.180i	−0.0131354	+	1.41757i
$569$	172.546	+	298.859i	0.303244	+	0.525235i	0.976869	−	0.213839i	$-0.0685968\pi$
$569$	172.546	+	298.859i	0.303244	+	0.525235i	−0.673625	+	0.739074i	$0.735263\pi$
$570$	99.0850	−	125.007i	0.173833	−	0.219311i
$571$	−633.665	+	169.790i	−1.10975	+	0.297355i	−0.766727	−	0.641973i	$-0.778116\pi$
$571$	−633.665	+	169.790i	−1.10975	+	0.297355i	−0.343018	+	0.939329i	$0.611449\pi$
$572$	79.4371	+	46.5196i	0.138876	+	0.0813280i
$573$	−51.5870	+	356.906i	−0.0900296	+	0.622873i
$574$	−109.979	−	191.856i	−0.191602	−	0.334244i
$575$		−	314.147i		−	0.546343i
$576$	124.563	+	562.370i	0.216255	+	0.976337i
$577$	719.179			1.24641			0.623205	−	0.782059i	$-0.285830\pi$
$577$	719.179			1.24641			0.623205	+	0.782059i	$0.285830\pi$
$578$	−496.346	+	284.525i	−0.858730	+	0.492258i
$579$	−259.096	−	648.592i	−0.447489	−	1.12019i
$580$	99.6933	−	170.237i	0.171885	−	0.293511i
$581$	−107.369	−	400.708i	−0.184801	−	0.689687i
$582$	−864.681	+	342.325i	−1.48571	+	0.588188i
$583$	299.416	−	172.868i	0.513577	−	0.296514i
$584$	−492.929	−	4.56754i	−0.844056	−	0.00782114i
$585$	27.7699	+	29.2113i	0.0474699	+	0.0499339i
$586$	−378.092	−	380.435i	−0.645209	−	0.649207i
$587$	−599.384	−	160.604i	−1.02110	−	0.273602i	−0.290838	−	0.956772i	$-0.593934\pi$
$587$	−599.384	−	160.604i	−1.02110	−	0.273602i	−0.730259	+	0.683170i	$0.760601\pi$
$588$	463.771	+	69.9605i	0.788726	+	0.118980i
$589$	−105.394	−	393.337i	−0.178938	−	0.667805i
$590$	−77.3769	+	133.070i	−0.131147	+	0.225542i
$591$	93.9265	+	790.571i	0.158928	+	1.33768i
$592$	37.7519	−	134.236i	0.0637701	−	0.226750i
$593$		−	212.922i		−	0.359060i	−0.983753	−	0.179530i	$-0.942542\pi$
$593$		−	212.922i		−	0.359060i	0.983753	−	0.179530i	$-0.0574577\pi$
$594$	−821.298	−	142.609i	−1.38266	−	0.240083i
$595$	11.4743	−	11.4743i	0.0192845	−	0.0192845i
$596$	131.734	+	36.1716i	0.221030	+	0.0606906i
$597$	789.507	+	621.828i	1.32246	+	1.04159i
$598$	56.6770	−	14.9991i	0.0947777	−	0.0250821i
$599$	−390.121	+	675.709i	−0.651287	+	1.12806i	0.331524	+	0.943447i	$0.392437\pi$
$599$	−390.121	+	675.709i	−0.651287	+	1.12806i	−0.982811	+	0.184615i	$0.940896\pi$
$600$	378.977	+	58.3669i	0.631628	+	0.0972782i
$601$	−891.314	+	514.601i	−1.48305	+	0.856241i	−0.999815	−	0.0192489i	$-0.993873\pi$
$601$	−891.314	+	514.601i	−1.48305	+	0.856241i	−0.483237	+	0.875489i	$0.660539\pi$
$602$	−287.938	−	289.723i	−0.478303	−	0.481267i
$603$	−777.987	+	423.309i	−1.29019	+	0.702004i
$604$	−3.09246	+	500.614i	−0.00511996	+	0.828832i
$605$	91.1915	−	340.331i	0.150730	−	0.562531i
$606$	−396.172	+	915.433i	−0.653749	+	1.51062i
$607$	−143.898	+	249.238i	−0.237064	+	0.410606i	−0.959870	−	0.280444i	$-0.909518\pi$
$607$	−143.898	+	249.238i	−0.237064	+	0.410606i	0.722807	+	0.691050i	$0.242852\pi$
$608$	274.666	−	69.0686i	0.451753	−	0.113600i
$609$	142.533	+	61.1619i	0.234044	+	0.100430i
$610$	157.268	+	274.349i	0.257816	+	0.449753i
$611$	−90.8834	−	90.8834i	−0.148745	−	0.148745i
$612$	17.8540	−	59.1241i	0.0291732	−	0.0966080i
$613$	767.616	+	767.616i	1.25223	+	1.25223i	0.954719	+	0.297510i	$0.0961561\pi$
$613$	767.616	+	767.616i	1.25223	+	1.25223i	0.297510	+	0.954719i	$0.403844\pi$
$614$	−117.014	+	431.368i	−0.190576	+	0.702554i
$615$	253.465	−	189.447i	0.412138	−	0.308044i
$616$	−97.1607	−	376.530i	−0.157728	−	0.611250i
$617$	−175.187	+	303.433i	−0.283933	+	0.491787i	−0.972350	−	0.233528i	$-0.924973\pi$
$617$	−175.187	+	303.433i	−0.283933	+	0.491787i	0.688417	+	0.725316i	$0.258306\pi$
$618$	−67.2869	+	84.8903i	−0.108878	+	0.137363i
$619$	−73.8523	+	275.620i	−0.119309	+	0.445267i	−0.999573	−	0.0292168i	$-0.990699\pi$
$619$	−73.8523	+	275.620i	−0.119309	+	0.445267i	0.880264	+	0.474484i	$0.157365\pi$
$620$	−393.316	+	388.487i	−0.634381	+	0.626592i
$621$	−433.138	+	306.979i	−0.697485	+	0.494330i
$622$	0.981576	−	317.803i	0.00157810	−	0.510937i
$623$	224.556	−	129.647i	0.360443	−	0.208102i
$624$	7.56413	+	71.1601i	0.0121220	+	0.114039i
$625$	14.8415	−	25.7062i	0.0237464	−	0.0411300i
$626$	273.906	−	471.054i	0.437550	−	0.752482i
$627$	−58.6333	+	405.656i	−0.0935140	+	0.646979i
$628$	−157.968	−	43.3750i	−0.251542	−	0.0690685i
$629$	−10.5724	+	10.5724i	−0.0168083	+	0.0168083i
$630$	4.83113	−	170.187i	0.00766846	−	0.270138i
$631$			1150.03i			1.82255i	0.411800	+	0.911274i	$0.364900\pi$
$631$			1150.03i			1.82255i	−0.411800	+	0.911274i	$0.635100\pi$
$632$	−545.644	+	308.322i	−0.863361	+	0.487852i
$633$	−240.964	−	103.400i	−0.380671	−	0.163349i
$634$	−168.869	−	638.105i	−0.266355	−	1.00648i
$635$	122.238	+	456.199i	0.192501	+	0.718423i
$636$	246.324	+	107.506i	0.387301	+	0.169035i
$637$	56.2843	+	15.0813i	0.0883584	+	0.0236756i
$638$	−1.56565	+	506.909i	−0.00245400	+	0.794528i
$639$	−212.253	−	880.649i	−0.332165	−	1.37817i
$640$	−265.936	−	277.692i	−0.415525	−	0.433893i
$641$	564.053	−	325.656i	0.879957	−	0.508044i	0.00931304	−	0.999957i	$-0.497036\pi$
$641$	564.053	−	325.656i	0.879957	−	0.508044i	0.870644	+	0.491913i	$0.163702\pi$
$642$	102.605	+	138.166i	0.159822	+	0.215212i
$643$	324.087	+	1209.51i	0.504023	+	1.88104i	0.472092	+	0.881549i	$0.343499\pi$
$643$	324.087	+	1209.51i	0.504023	+	1.88104i	0.0319305	+	0.999490i	$0.489834\pi$
$644$	−213.708	−	125.151i	−0.331845	−	0.194334i
$645$	361.652	−	459.173i	0.560701	−	0.711897i
$646$	−29.3085	−	7.95028i	−0.0453692	−	0.0123069i
$647$	739.809			1.14344			0.571722	−	0.820447i	$-0.306275\pi$
$647$	739.809			1.14344			0.571722	+	0.820447i	$0.306275\pi$
$648$	−289.854	−	579.559i	−0.447306	−	0.894381i
$649$		−	395.526i		−	0.609440i
$650$	45.9768	+	12.4718i	0.0707336	+	0.0191874i
$651$	−341.445	−	268.927i	−0.524493	−	0.413099i
$652$	−100.258	−	383.630i	−0.153769	−	0.588390i
$653$	433.627	−	116.190i	0.664053	−	0.177933i	0.0889787	−	0.996034i	$-0.471640\pi$
$653$	433.627	−	116.190i	0.664053	−	0.177933i	0.575075	+	0.818101i	$0.304973\pi$
$654$	0.836259	+	1.12608i	0.00127868	+	0.00172184i
$655$	140.395	+	243.171i	0.214344	+	0.371254i
$656$	561.797	+	6.94107i	0.856398	+	0.0105809i
$657$	539.131	−	129.941i	0.820595	−	0.197779i
$658$	−1.67691	+	542.928i	−0.00254849	+	0.825119i
$659$	−260.825	+	973.413i	−0.395790	+	1.47711i	0.424642	+	0.905361i	$0.360400\pi$
$659$	−260.825	+	973.413i	−0.395790	+	1.47711i	−0.820431	+	0.571745i	$0.806267\pi$
$660$	517.999	−	203.226i	0.784847	−	0.307918i
$661$	426.457	−	114.269i	0.645170	−	0.172873i	0.0786260	−	0.996904i	$-0.474947\pi$
$661$	426.457	−	114.269i	0.645170	−	0.172873i	0.566544	+	0.824031i	$0.308280\pi$
$662$	156.490	+	591.327i	0.236389	+	0.893243i
$663$	3.02576	−	7.05128i	0.00456374	−	0.0106354i
$664$	1015.48	+	282.206i	1.52933	+	0.425009i
$665$	−83.7138			−0.125885
$666$	−4.45142	+	156.811i	−0.00668382	+	0.235451i
$667$	228.281	+	228.281i	0.342251	+	0.342251i
$668$	−617.225	−	1084.48i	−0.923989	−	1.62347i
$669$	−415.110	−	59.9998i	−0.620494	−	0.0896857i
$670$	297.190	−	511.097i	0.443568	−	0.762831i
$671$	−703.691	−	406.276i	−1.04872	−	0.605478i
$672$	190.684	−	234.558i	0.283756	−	0.349045i
$673$	−168.735	−	292.258i	−0.250721	−	0.434261i	0.713004	−	0.701160i	$-0.247334\pi$
$673$	−168.735	−	292.258i	−0.250721	−	0.434261i	−0.963724	+	0.266899i	$0.914001\pi$
$674$	−3.75261	+	1214.97i	−0.00556766	+	1.80263i
$675$	−429.513	+	40.0443i	−0.636316	+	0.0593250i
$676$	4.12087	−	667.097i	0.00609596	−	0.986829i
$677$	779.175	+	208.779i	1.15092	+	0.308389i	0.783335	−	0.621600i	$-0.213517\pi$
$677$	779.175	+	208.779i	1.15092	+	0.308389i	0.367588	+	0.929989i	$0.380184\pi$
$678$	650.871	−	821.150i	0.959986	−	1.21114i
$679$	422.671	+	244.029i	0.622490	+	0.359395i
$680$	10.3009	+	39.9193i	0.0151483	+	0.0587048i
$681$	127.018	+	169.940i	0.186517	+	0.249545i
$682$	371.887	−	1370.95i	0.545290	−	2.01019i
$683$	0.155247	−	0.155247i	0.000227302	−	0.000227302i	−0.706993	−	0.707220i	$-0.749949\pi$
$683$	0.155247	−	0.155247i	0.000227302	−	0.000227302i	0.707220	+	0.706993i	$0.249949\pi$
$684$	−280.808	+	150.549i	−0.410538	+	0.220101i
$685$	210.956	−	210.956i	0.307965	−	0.307965i
$686$	−275.879	−	481.264i	−0.402157	−	0.701551i
$687$	−220.202	+	513.163i	−0.320527	+	0.746963i
$688$	1005.65	−	256.190i	1.46170	−	0.372369i
$689$	28.9169	+	16.6952i	0.0419694	+	0.0242310i
$690$	140.750	−	325.231i	0.203986	−	0.471350i
$691$	−1128.21	−	302.302i	−1.63271	−	0.437484i	−0.678013	−	0.735050i	$-0.737159\pi$
$691$	−1128.21	−	302.302i	−1.63271	−	0.437484i	−0.954701	+	0.297566i	$0.903825\pi$
$692$	−315.635	−	319.559i	−0.456120	−	0.461790i
$693$	209.085	+	384.272i	0.301710	+	0.554505i
$694$	−740.018	−	744.603i	−1.06631	−	1.07292i
$695$	287.313	+	497.641i	0.413400	+	0.716030i
$696$	−317.805	+	232.978i	−0.456616	+	0.334738i
$697$	−52.1718	−	30.1214i	−0.0748519	−	0.0432158i
$698$	−277.038	+	73.3159i	−0.396903	+	0.105037i
$699$	−553.617	+	702.903i	−0.792013	+	1.00558i
$700$	−99.5387	−	174.892i	−0.142198	−	0.249846i
$701$	−272.730	−	272.730i	−0.389059	−	0.389059i	0.485293	−	0.874352i	$-0.338713\pi$
$701$	−272.730	−	272.730i	−0.389059	−	0.389059i	−0.874352	+	0.485293i	$0.838713\pi$
$702$	−27.7319	−	75.5789i	−0.0395042	−	0.107662i
$703$	77.1342			0.109721
$704$	949.390	+	273.342i	1.34857	+	0.388269i
$705$	−771.473	+	91.6575i	−1.09429	+	0.130011i
$706$	20.3029	−	34.9162i	0.0287577	−	0.0494563i
$707$	505.647	−	135.488i	0.715201	−	0.191637i
$708$	247.410	−	182.550i	0.349449	−	0.257839i
$709$	350.567	−	1308.33i	0.494453	−	1.84532i	−0.0386190	−	0.999254i	$-0.512296\pi$
$709$	350.567	−	1308.33i	0.494453	−	1.84532i	0.533072	−	0.846070i	$-0.321037\pi$
$710$	426.255	+	428.896i	0.600359	+	0.604079i
$711$	511.009	−	485.793i	0.718718	−	0.683253i
$712$	−6.10398	+	658.741i	−0.00857301	+	0.925199i
$713$	−452.339	−	783.473i	−0.634416	−	1.09884i
$714$	−30.1367	+	11.9311i	−0.0422083	+	0.0167102i
$715$	66.7751	−	17.8923i	0.0933918	−	0.0250242i
$716$	109.110	−	28.5147i	0.152388	−	0.0398251i
$717$	1123.77	−	448.919i	1.56732	−	0.626107i
$718$	−88.4657	+	50.7121i	−0.123211	+	0.0706296i
$719$			419.941i			0.584062i	0.956409	+	0.292031i	$0.0943311\pi$
$719$			419.941i			0.584062i	−0.956409	+	0.292031i	$0.905669\pi$
$720$	366.198	+	230.223i	0.508608	+	0.319754i
$721$	56.8486			0.0788468
$722$	−281.155	−	490.466i	−0.389411	−	0.679316i
$723$	82.6693	+	11.9490i	0.114342	+	0.0165269i
$724$	−1010.27	+	264.022i	−1.39540	+	0.364672i
$725$	67.8942	+	253.385i	0.0936471	+	0.349496i
$726$	−437.160	+	551.529i	−0.602149	+	0.759682i
$727$	363.290	−	209.746i	0.499711	−	0.288508i	−0.228883	−	0.973454i	$-0.573507\pi$
$727$	363.290	−	209.746i	0.499711	−	0.288508i	0.728594	+	0.684945i	$0.240174\pi$
$728$	26.8007	−	26.3086i	0.0368142	−	0.0361382i
$729$	474.924	+	553.071i	0.651474	+	0.758671i
$730$	−262.569	+	260.952i	−0.359684	+	0.357469i
$731$	−107.482	−	28.7997i	−0.147034	−	0.0393977i
$732$	−70.6450	−	627.685i	−0.0965096	−	0.857493i
$733$	−113.757	−	424.547i	−0.155194	−	0.579191i	−0.999089	−	0.0426826i	$-0.986410\pi$
$733$	−113.757	−	424.547i	−0.155194	−	0.579191i	0.843895	−	0.536509i	$-0.180257\pi$
$734$	−803.907	−	467.452i	−1.09524	−	0.636856i
$735$	282.120	−	210.864i	0.383837	−	0.286890i
$736$	549.700	−	306.150i	0.746874	−	0.415964i
$737$			1519.14i			2.06125i
$738$	−614.929	+	146.202i	−0.833237	+	0.198105i
$739$	545.397	−	545.397i	0.738020	−	0.738020i	−0.234174	−	0.972195i	$-0.575239\pi$
$739$	545.397	−	545.397i	0.738020	−	0.738020i	0.972195	+	0.234174i	$0.0752386\pi$
$740$	−51.7972	−	91.0091i	−0.0699962	−	0.122985i
$741$	−36.7599	+	14.6847i	−0.0496086	+	0.0198174i
$742$	−36.0849	−	136.354i	−0.0486319	−	0.183765i
$743$	−63.0928	+	109.280i	−0.0849163	+	0.147079i	−0.905356	−	0.424654i	$-0.860396\pi$
$743$	−63.0928	+	109.280i	−0.0849163	+	0.147079i	0.820439	+	0.571734i	$0.193729\pi$
$744$	1029.20	−	400.121i	1.38333	−	0.537797i
$745$	88.8444	−	51.2944i	0.119254	−	0.0688515i
$746$	115.246	−	114.537i	0.154486	−	0.153534i
$747$	−1185.33	−	29.9845i	−1.58678	−	0.0401399i
$748$	−74.4415	−	75.3670i	−0.0995208	−	0.100758i
$749$	23.3760	−	87.2405i	0.0312096	−	0.116476i
$750$	592.917	−	440.315i	0.790556	−	0.587086i
$751$	581.401	−	1007.02i	0.774170	−	1.34090i	−0.161090	−	0.986940i	$-0.551501\pi$
$751$	581.401	−	1007.02i	0.774170	−	1.34090i	0.935260	−	0.353962i	$-0.115166\pi$
$752$	−1185.97	−	704.397i	−1.57709	−	0.936698i
$753$	26.0155	+	218.970i	0.0345492	+	0.290797i
$754$	−42.4729	+	24.3471i	−0.0563300	+	0.0322906i
$755$	265.837	+	265.837i	0.352102	+	0.352102i
$756$	−143.870	+	308.143i	−0.190304	+	0.407596i
$757$	1014.37	+	1014.37i	1.33998	+	1.33998i	0.896071	+	0.443910i	$0.146409\pi$
$757$	1014.37	+	1014.37i	1.33998	+	1.33998i	0.443910	+	0.896071i	$0.353591\pi$
$758$	−519.977	−	141.050i	−0.685985	−	0.186082i
$759$	107.430	+	904.225i	0.141541	+	1.19134i
$760$	108.045	−	183.198i	0.142164	−	0.241049i
$761$	231.849	−	401.574i	0.304663	−	0.527693i	−0.672523	−	0.740076i	$-0.734789\pi$
$761$	231.849	−	401.574i	0.304663	−	0.527693i	0.977186	+	0.212384i	$0.0681227\pi$
$762$	137.835	−	933.249i	0.180886	−	1.22474i
$763$	0.190520	−	0.711030i	0.000249699	−	0.000931888i
$764$	−2.97012	+	480.811i	−0.00388760	+	0.629334i
$765$	−22.1670	−	40.7400i	−0.0289764	−	0.0532550i
$766$	−210.876	−	0.651317i	−0.275294	−	0.000850283i
$767$	33.0814	−	19.0995i	0.0431309	−	0.0249016i
$768$	267.198	+	720.020i	0.347913	+	0.937527i
$769$	−95.9642	+	166.215i	−0.124791	+	0.216144i	−0.921651	−	0.388019i	$-0.873159\pi$
$769$	−95.9642	+	166.215i	−0.124791	+	0.216144i	0.796860	+	0.604164i	$0.206493\pi$
$770$	−252.446	−	146.791i	−0.327852	−	0.190638i
$771$	−247.090	+	98.7061i	−0.320479	+	0.128023i
$772$	−460.628	−	809.336i	−0.596669	−	1.04836i
$773$	125.303	−	125.303i	0.162100	−	0.162100i	−0.621397	−	0.783496i	$-0.713434\pi$
$773$	125.303	−	125.303i	0.162100	−	0.162100i	0.783496	+	0.621397i	$0.213434\pi$
$774$	−1027.23	+	554.819i	−1.32717	+	0.716821i
$775$		−	735.097i		−	0.948512i
$776$	−1079.55	+	610.009i	−1.39117	+	0.786094i
$777$	65.9440	−	49.2884i	0.0848700	−	0.0634342i
$778$	169.383	−	44.8257i	0.217716	−	0.0576166i
$779$	80.4374	+	300.197i	0.103257	+	0.385361i
$780$	42.0112	+	33.5113i	0.0538605	+	0.0429631i
$781$	−1500.80	−	402.138i	−1.92164	−	0.514902i
$782$	−67.4654	−	0.208376i	−0.0862729	−	0.000266465i
$783$	283.015	−	341.213i	0.361450	−	0.435777i
$784$	625.310	+	7.72578i	0.797589	+	0.00985431i
$785$	−106.537	+	61.5094i	−0.135716	+	0.0783559i
$786$	−64.4491	−	557.145i	−0.0819963	−	0.708836i
$787$	31.8085	+	118.711i	0.0404174	+	0.150840i	0.983186	−	0.182609i	$-0.0584543\pi$
$787$	31.8085	+	118.711i	0.0404174	+	0.150840i	−0.942768	+	0.333449i	$0.891788\pi$
$788$	268.399	+	1027.02i	0.340608	+	1.30332i
$789$	−1351.65	−	195.367i	−1.71312	−	0.247613i
$790$	−123.217	+	454.235i	−0.155971	+	0.574981i
$791$	−549.900			−0.695196
$792$	−1110.79	−	38.4006i	−1.40251	−	0.0484856i
$793$		−	78.4745i		−	0.0989590i
$794$	212.486	−	783.325i	0.267615	−	0.986555i
$795$	187.428	−	74.8729i	0.235759	−	0.0941798i
$796$	1156.29	+	677.144i	1.45263	+	0.850684i
$797$	−310.021	+	83.0699i	−0.388985	+	0.104228i	−0.448011	−	0.894028i	$-0.647867\pi$
$797$	−310.021	+	83.0699i	−0.388985	+	0.104228i	0.0590255	+	0.998256i	$0.481201\pi$
$798$	153.459	+	66.4123i	0.192304	+	0.0832234i
$799$	73.9515	+	128.088i	0.0925550	+	0.160310i
$800$	511.199	+	7.89514i	0.638999	+	0.00986892i
$801$	−173.651	−	720.485i	−0.216792	−	0.899481i
$802$	632.773	+	1.95440i	0.788994	+	0.00243691i
$803$	246.188	−	918.786i	0.306585	−	1.14419i
$804$	−950.256	+	701.141i	−1.18191	+	0.872066i
$805$	−179.644	+	48.1355i	−0.223160	+	0.0597957i
$806$	132.623	−	35.0975i	0.164544	−	0.0435453i
$807$	1141.33	−	135.600i	1.41429	−	0.168030i
$808$	−356.112	+	1281.41i	−0.440732	+	1.58591i
$809$	540.697			0.668352			0.334176	−	0.942511i	$-0.391542\pi$
$809$	540.697			0.668352			0.334176	+	0.942511i	$0.391542\pi$
$810$	−462.609	−	150.981i	−0.571122	−	0.186397i
$811$	−123.734	−	123.734i	−0.152569	−	0.152569i	0.626695	−	0.779265i	$-0.284407\pi$
$811$	−123.734	−	123.734i	−0.152569	−	0.152569i	−0.779265	+	0.626695i	$0.784407\pi$
$812$	199.421	+	54.7571i	0.245592	+	0.0674349i
$813$	−433.504	+	550.400i	−0.533215	+	0.676999i
$814$	232.605	+	135.254i	0.285756	+	0.166160i
$815$	−257.874	−	148.884i	−0.316410	−	0.182679i
$816$	12.7861	−	81.3494i	0.0156692	−	0.0996928i
$817$	287.025	+	497.141i	0.351315	+	0.608496i
$818$	−291.981	−	0.901822i	−0.356945	−	0.00110247i
$819$	−22.0436	+	36.0437i	−0.0269152	+	0.0440094i
$820$	300.180	−	296.495i	0.366074	−	0.361579i
$821$	−60.8171	−	16.2959i	−0.0740769	−	0.0198488i	0.221590	−	0.975140i	$-0.428875\pi$
$821$	−60.8171	−	16.2959i	−0.0740769	−	0.0198488i	−0.295667	+	0.955291i	$0.595542\pi$
$822$	−554.068	+	219.354i	−0.674049	+	0.266855i
$823$	844.012	+	487.290i	1.02553	+	0.592090i	0.915701	−	0.401860i	$-0.131636\pi$
$823$	844.012	+	487.290i	1.02553	+	0.592090i	0.109830	+	0.993950i	$0.464969\pi$
$824$	−73.3712	+	124.406i	−0.0890428	+	0.150978i
$825$	−291.767	+	679.940i	−0.353657	+	0.824170i
$826$	−155.733	−	42.2444i	−0.188538	−	0.0511434i
$827$	−829.745	+	829.745i	−1.00332	+	1.00332i	−0.00332532	+	0.999994i	$0.501058\pi$
$827$	−829.745	+	829.745i	−1.00332	+	1.00332i	−0.999994	+	0.00332532i	$0.998942\pi$
$828$	−516.029	+	484.533i	−0.623223	+	0.585184i
$829$	801.949	−	801.949i	0.967369	−	0.967369i	−0.0321156	−	0.999484i	$-0.510224\pi$
$829$	801.949	−	801.949i	0.967369	−	0.967369i	0.999484	+	0.0321156i	$0.0102245\pi$
$830$	686.665	−	393.623i	0.827307	−	0.474245i
$831$	−663.789	−	888.097i	−0.798783	−	1.06871i
$832$	22.9830	+	92.6052i	0.0276238	+	0.111304i
$833$	−58.0699	−	33.5267i	−0.0697118	−	0.0402481i
$834$	−131.893	−	1140.18i	−0.158145	−	1.36712i
$835$	−905.140	−	242.531i	−1.08400	−	0.290457i
$836$	−3.37581	+	546.485i	−0.00403806	+	0.653690i
$837$	−1013.53	+	718.322i	−1.21091	+	0.858211i
$838$	383.736	−	381.373i	0.457919	−	0.455099i
$839$	−113.374	−	196.369i	−0.135130	−	0.234051i	0.790517	−	0.612440i	$-0.209812\pi$
$839$	−113.374	−	196.369i	−0.135130	−	0.234051i	−0.925647	+	0.378388i	$0.876478\pi$
$840$	−24.6922	−	225.660i	−0.0293954	−	0.268643i
$841$	494.864	+	285.710i	0.588423	+	0.339726i
$842$	−3.60803	−	13.6337i	−0.00428507	−	0.0161920i
$843$	317.309	+	45.8636i	0.376405	+	0.0544052i
$844$	−337.138	−	92.5718i	−0.399453	−	0.109682i
$845$	−354.242	−	354.242i	−0.419222	−	0.419222i
$846$	1486.93	+	444.008i	1.75760	+	0.524833i
$847$	369.343			0.436060
$848$	344.966	+	97.0167i	0.406800	+	0.114407i
$849$	226.933	−	528.850i	0.267295	−	0.622909i
$850$	−47.3901	−	27.5562i	−0.0557531	−	0.0324191i
$851$	165.525	−	44.3522i	0.194506	−	0.0521178i
$852$	−441.129	−	1124.38i	−0.517757	−	1.31970i
$853$	228.419	−	852.470i	0.267783	−	0.999379i	−0.692742	−	0.721185i	$-0.743598\pi$
$853$	228.419	−	852.470i	0.267783	−	0.999379i	0.960525	−	0.278193i	$-0.0897356\pi$
$854$	−235.123	+	233.675i	−0.275320	+	0.273625i
$855$	−67.7526	+	229.478i	−0.0792428	+	0.268395i
$856$	160.745	+	163.752i	0.187786	+	0.191299i
$857$	482.308	+	835.382i	0.562786	+	0.974774i	0.997252	+	0.0740858i	$0.0236039\pi$
$857$	482.308	+	835.382i	0.562786	+	0.974774i	−0.434466	+	0.900688i	$0.643063\pi$
$858$	−136.602	−	20.1753i	−0.159210	−	0.0235144i
$859$	−537.040	+	143.900i	−0.625193	+	0.167520i	−0.557487	−	0.830186i	$-0.688234\pi$
$859$	−537.040	+	143.900i	−0.625193	+	0.167520i	−0.0677053	+	0.997705i	$0.521568\pi$
$860$	393.824	−	672.495i	0.457935	−	0.781971i
$861$	260.592	+	205.246i	0.302662	+	0.238381i
$862$	268.336	+	468.104i	0.311294	+	0.543044i
$863$			125.363i			0.145264i	0.997359	+	0.0726322i	$0.0231399\pi$
$863$			125.363i			0.145264i	−0.997359	+	0.0726322i	$0.976860\pi$
$864$	−488.649	−	712.544i	−0.565566	−	0.824703i
$865$	−337.301			−0.389943
$866$	1050.43	−	602.150i	1.21297	−	0.695323i
$867$	530.988	−	674.172i	0.612443	−	0.777591i
$868$	−500.072	−	292.850i	−0.576120	−	0.337385i
$869$	−313.000	−	1168.13i	−0.360184	−	1.34422i
$870$	−43.2365	+	292.744i	−0.0496971	+	0.336487i
$871$	−127.059	+	73.3578i	−0.145878	+	0.0842225i
$872$	1.31011	+	1.33462i	0.00150242	+	0.00153052i
$873$	1011.02	−	961.132i	1.15810	−	1.10095i
$874$	245.346	+	246.867i	0.280717	+	0.282456i
$875$	−374.378	−	100.314i	−0.427861	−	0.114645i
$876$	688.345	−	270.058i	0.785782	−	0.308285i
$877$	262.414	+	979.341i	0.299217	+	1.11669i	0.937810	+	0.347149i	$0.112850\pi$
$877$	262.414	+	979.341i	0.299217	+	1.11669i	−0.638592	+	0.769545i	$0.720483\pi$
$878$	−73.5463	+	126.482i	−0.0837657	+	0.144057i
$879$	739.349	+	317.260i	0.841125	+	0.360933i
$880$	647.054	−	362.993i	0.735288	−	0.412492i
$881$			1072.15i			1.21697i	0.793567	+	0.608483i	$0.208222\pi$
$881$			1072.15i			1.21697i	−0.793567	+	0.608483i	$0.791778\pi$
$882$	−684.448	+	162.730i	−0.776018	+	0.184501i
$883$	111.949	−	111.949i	0.126783	−	0.126783i	−0.640868	−	0.767651i	$-0.721426\pi$
$883$	111.949	−	111.949i	0.126783	−	0.126783i	0.767651	+	0.640868i	$0.221426\pi$
$884$	2.70890	−	9.86559i	0.00306437	−	0.0111602i
$885$	33.0304	−	228.522i	0.0373225	−	0.258217i
$886$	−488.568	+	129.295i	−0.551431	+	0.145932i
$887$	−489.085	+	847.120i	−0.551392	+	0.955040i	0.446782	+	0.894643i	$0.352570\pi$
$887$	−489.085	+	847.120i	−0.551392	+	0.955040i	−0.998174	+	0.0603968i	$0.980763\pi$
$888$	22.7515	+	207.924i	0.0256210	+	0.234149i
$889$	−428.758	+	247.544i	−0.482293	+	0.278452i
$890$	348.732	+	350.892i	0.391833	+	0.394261i
$891$	1222.59	−	262.143i	1.37216	−	0.294212i
$892$	−559.221	−	3.45449i	−0.626930	−	0.00387275i
$893$	197.483	−	737.017i	0.221146	−	0.825327i
$894$	−203.557	+	23.5470i	−0.227692	+	0.0263389i
$895$	42.3447	−	73.3432i	0.0473125	−	0.0819477i
$896$	209.024	−	344.614i	0.233286	−	0.384614i
$897$	−70.4407	+	52.6493i	−0.0785292	+	0.0586949i
$898$	387.568	+	676.102i	0.431590	+	0.752897i
$899$	534.172	+	534.172i	0.594185	+	0.594185i
$900$	−559.978	+	131.311i	−0.622198	+	0.145901i
$901$	−27.1696	−	27.1696i	−0.0301550	−	0.0301550i
$902$	−283.826	+	1046.32i	−0.314663	+	1.15999i
$903$	563.055	+	241.611i	0.623538	+	0.267565i
$904$	709.725	−	1203.39i	0.785094	−	1.33118i
$905$	−392.076	+	679.096i	−0.433233	+	0.750382i
$906$	−276.420	−	698.210i	−0.305099	−	0.770651i
$907$	297.274	−	1109.44i	0.327755	−	1.22320i	−0.583758	−	0.811927i	$-0.698418\pi$
$907$	297.274	−	1109.44i	0.327755	−	1.22320i	0.911513	−	0.411271i	$-0.134915\pi$
$908$	198.790	+	201.261i	0.218932	+	0.221654i
$909$	37.8369	−	1495.74i	0.0416248	−	1.64548i
$910$	0.0871078	−	28.2027i	9.57229e−5	−	0.0309920i
$911$	47.3899	−	27.3606i	0.0520197	−	0.0300336i	−0.473765	−	0.880652i	$-0.657105\pi$
$911$	47.3899	−	27.3606i	0.0520197	−	0.0300336i	0.525784	+	0.850618i	$0.323772\pi$
$912$	−343.396	+	250.111i	−0.376531	+	0.274245i
$913$	−1016.86	+	1761.26i	−1.11376	+	1.92909i
$914$	448.826	−	771.873i	0.491057	−	0.844500i
$915$	−372.641	−	293.498i	−0.407257	−	0.320762i
$916$	−197.143	+	717.977i	−0.215222	+	0.783818i
$917$	−208.132	+	208.132i	−0.226970	+	0.226970i
$918$	8.31492	+	92.2677i	0.00905764	+	0.100509i
$919$		−	668.864i		−	0.727817i	−0.931435	−	0.363908i	$-0.881442\pi$
$919$		−	668.864i		−	0.727817i	0.931435	−	0.363908i	$-0.118558\pi$
$920$	126.518	−	455.255i	0.137519	−	0.494843i
$921$	−79.0972	−	665.753i	−0.0858819	−	0.722859i
$922$	−90.7085	−	342.760i	−0.0983823	−	0.371757i
$923$	−38.8376	−	144.944i	−0.0420776	−	0.157036i
$924$	346.315	+	469.361i	0.374800	+	0.507966i
$925$	134.497	+	36.0385i	0.145403	+	0.0389605i
$926$	1.32555	−	429.170i	0.00143148	−	0.463467i
$927$	46.0096	−	155.834i	0.0496328	−	0.168106i
$928$	−377.210	+	365.736i	−0.406477	+	0.394112i
$929$	−528.355	+	305.046i	−0.568735	+	0.328359i	−0.756644	−	0.653827i	$-0.773162\pi$
$929$	−528.355	+	305.046i	−0.568735	+	0.328359i	0.187909	+	0.982186i	$0.439829\pi$
$930$	329.352	−	761.033i	0.354142	−	0.818315i
$931$	89.5310	+	334.134i	0.0961665	+	0.358898i
$932$	−602.866	+	1029.46i	−0.646852	+	1.10457i
$933$	176.844	+	442.691i	0.189543	+	0.474481i
$934$	1068.39	+	289.813i	1.14388	+	0.310292i
$935$	−79.5514			−0.0850817
$936$	−50.4269	−	94.7592i	−0.0538749	−	0.101239i
$937$		−	725.042i		−	0.773790i	−0.922124	−	0.386895i	$-0.873548\pi$
$937$		−	725.042i		−	0.773790i	0.922124	−	0.386895i	$-0.126452\pi$
$938$	598.141	+	162.253i	0.637677	+	0.172978i
$939$	−116.924	+	808.944i	−0.124520	+	0.861496i
$940$	−1002.21	+	261.916i	−1.06618	+	0.278634i
$941$	−1536.81	+	411.788i	−1.63317	+	0.437606i	−0.954832	−	0.297145i	$-0.903966\pi$
$941$	−1536.81	+	411.788i	−1.63317	+	0.437606i	−0.678337	+	0.734751i	$0.737299\pi$
$942$	244.095	−	28.2362i	0.259124	−	0.0299748i
$943$	345.227	+	597.950i	0.366094	+	0.634093i
$944$	293.442	−	286.280i	0.310850	−	0.303262i
$945$	88.7118	+	239.480i	0.0938749	+	0.253418i
$946$	−6.18489	+	2002.47i	−0.00653794	+	2.11677i
$947$	42.9026	−	160.115i	0.0453036	−	0.169076i	−0.939568	−	0.342364i	$-0.888773\pi$
$947$	42.9026	−	160.115i	0.0453036	−	0.169076i	0.984871	+	0.173288i	$0.0554392\pi$
$948$	586.229	−	734.923i	0.618385	−	0.775236i
$949$	88.7343	−	23.7763i	0.0935030	−	0.0250540i
$950$	72.3519	+	273.396i	0.0761599	+	0.287785i
$951$	592.759	+	793.065i	0.623300	+	0.833927i
$952$	−37.6254	+	21.2607i	−0.0395225	+	0.0223326i
$953$	−73.6322			−0.0772636			−0.0386318	−	0.999254i	$-0.512300\pi$
$953$	−73.6322			−0.0772636			−0.0386318	+	0.999254i	$0.512300\pi$
$954$	−402.980	−	11.4395i	−0.422411	−	0.0119911i
$955$	255.321	+	255.321i	0.267351	+	0.267351i
$956$	1402.28	−	798.100i	1.46682	−	0.834833i
$957$	−282.073	−	706.110i	−0.294748	−	0.737837i
$958$	−41.7740	+	71.8414i	−0.0436054	+	0.0749910i
$959$	270.838	+	156.368i	0.282417	+	0.163054i
$960$	525.699	+	237.211i	0.547603	+	0.247095i
$961$	−577.961	−	1001.06i	−0.601416	−	1.04168i
$962$	−0.0802615	+	25.9861i	−8.34319e−5	+	0.0270126i
$963$	−220.226	−	134.686i	−0.228688	−	0.139861i
$964$	111.369	+	0.687963i	0.115528	+	0.000713654i
$965$	−675.496	−	180.999i	−0.699995	−	0.187563i
$966$	367.499	+	54.2774i	0.380434	+	0.0561878i
$967$	−1565.88	−	904.063i	−1.61932	−	0.934915i	−0.987096	−	0.160131i	$-0.948808\pi$
$967$	−1565.88	−	904.063i	−1.61932	−	0.934915i	−0.632225	−	0.774785i	$-0.717858\pi$
$968$	−476.690	+	808.262i	−0.492449	+	0.834982i
$969$	45.2333	−	5.37411i	0.0466804	−	0.00554603i
$970$	−243.782	+	898.695i	−0.251322	+	0.926489i
$971$	677.568	−	677.568i	0.697804	−	0.697804i	−0.266133	−	0.963936i	$-0.585746\pi$
$971$	677.568	−	677.568i	0.697804	−	0.697804i	0.963936	+	0.266133i	$0.0857459\pi$
$972$	728.248	+	643.769i	0.749226	+	0.662314i
$973$	−425.933	+	425.933i	−0.437753	+	0.437753i
$974$	538.651	+	939.661i	0.553030	+	0.964744i
$975$	−70.9585	+	8.43048i	−0.0727780	+	0.00864664i
$976$	−207.910	−	816.130i	−0.213022	−	0.836199i
$977$	585.233	+	337.884i	0.599010	+	0.345839i	0.768652	−	0.639667i	$-0.220928\pi$
$977$	585.233	+	337.884i	0.599010	+	0.345839i	−0.169642	+	0.985506i	$0.554261\pi$
$978$	354.605	+	477.502i	0.362582	+	0.488244i
$979$	−1227.85	−	329.001i	−1.25419	−	0.336058i
$980$	334.116	−	330.014i	0.340935	−	0.336749i
$981$	−1.79490	−	1.09772i	−0.00182966	−	0.00111898i
$982$	141.461	+	142.337i	0.144054	+	0.144946i
$983$	−811.991	−	1406.41i	−0.826034	−	1.43073i	−0.901127	−	0.433556i	$-0.857259\pi$
$983$	−811.991	−	1406.41i	−0.826034	−	1.43073i	0.0750925	−	0.997177i	$-0.476075\pi$
$984$	−785.488	+	305.374i	−0.798260	+	0.310339i
$985$	690.354	+	398.576i	0.700867	+	0.404646i
$986$	54.4612	−	14.4127i	0.0552345	−	0.0146173i
$987$	−302.117	−	756.285i	−0.306096	−	0.766246i
$988$	−45.8704	+	26.1068i	−0.0464275	+	0.0264239i
$989$	901.792	+	901.792i	0.911822	+	0.911822i
$990$	−606.702	+	573.207i	−0.612830	+	0.578997i
$991$	−1558.57			−1.57272			−0.786361	−	0.617767i	$-0.788038\pi$
$991$	−1558.57			−1.57272			−0.786361	+	0.617767i	$0.788038\pi$
$992$	1286.28	−	716.382i	1.29666	−	0.722159i
$993$	−549.305	−	734.927i	−0.553177	−	0.740107i
$994$	−318.630	+	547.967i	−0.320553	+	0.551275i
$995$	971.985	−	260.443i	0.976869	−	0.261751i
$996$	−1571.02	+	176.816i	−1.57733	+	0.177526i
$997$	−116.730	+	435.642i	−0.117081	+	0.436953i	−0.999434	−	0.0336353i	$-0.989292\pi$
$997$	−116.730	+	435.642i	−0.117081	+	0.436953i	0.882353	+	0.470588i	$0.155958\pi$
$998$	−745.473	−	750.092i	−0.746967	−	0.751596i
$999$	−81.7394	−	220.658i	−0.0818212	−	0.220879i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	144.3.w.a.5.8	✓	184
3.2	odd	2		432.3.x.a.341.39		184
9.2	odd	6	inner	144.3.w.a.101.9	yes	184
9.7	even	3		432.3.x.a.197.38		184
16.13	even	4	inner	144.3.w.a.77.9	yes	184
48.29	odd	4		432.3.x.a.125.38		184
144.29	odd	12	inner	144.3.w.a.29.8	yes	184
144.61	even	12		432.3.x.a.413.39		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.8	✓	184	1.1	even	1	trivial
144.3.w.a.29.8	yes	184	144.29	odd	12	inner
144.3.w.a.77.9	yes	184	16.13	even	4	inner
144.3.w.a.101.9	yes	184	9.2	odd	6	inner
432.3.x.a.125.38		184	48.29	odd	4
432.3.x.a.197.38		184	9.7	even	3
432.3.x.a.341.39		184	3.2	odd	2
432.3.x.a.413.39		184	144.61	even	12

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:	\( N \)	\(=\)	\( 144 = 2^{4} \cdot 3^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	144.w (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.73513 + 0.994646i) q^{2} +(1.85623 - 2.35678i) q^{3} +(2.02136 - 3.45168i) q^{4} +(-0.777454 - 2.90150i) q^{5} +(-0.876653 + 5.93561i) q^{6} +(2.72697 - 1.57442i) q^{7} +(-0.0741259 + 7.99966i) q^{8} +(-2.10879 - 8.74946i) q^{9} +O(q^{10})\)	\(q+(-1.73513 + 0.994646i) q^{2} +(1.85623 - 2.35678i) q^{3} +(2.02136 - 3.45168i) q^{4} +(-0.777454 - 2.90150i) q^{5} +(-0.876653 + 5.93561i) q^{6} +(2.72697 - 1.57442i) q^{7} +(-0.0741259 + 7.99966i) q^{8} +(-2.10879 - 8.74946i) q^{9} +(4.23494 + 4.26119i) q^{10} +(-14.9108 - 3.99534i) q^{11} +(-4.38272 - 11.1710i) q^{12} +(-0.385861 - 1.44005i) q^{13} +(-3.16566 + 5.44419i) q^{14} +(-8.28131 - 3.55357i) q^{15} +(-7.82820 - 13.9542i) q^{16} +1.71558i q^{17} +(12.3616 + 13.0840i) q^{18} +(6.25827 - 6.25827i) q^{19} +(-11.5866 - 3.18145i) q^{20} +(1.35135 - 9.34935i) q^{21} +(29.8462 - 7.89854i) q^{22} +(9.83131 - 17.0283i) q^{23} +(18.7158 + 15.0239i) q^{24} +(13.8364 - 7.98844i) q^{25} +(2.10186 + 2.11489i) q^{26} +(-24.5349 - 11.2711i) q^{27} +(0.0778040 - 12.5951i) q^{28} +(-4.24953 + 15.8594i) q^{29} +(17.9037 - 2.07106i) q^{30} +(23.0050 - 39.8458i) q^{31} +(27.4624 + 16.4260i) q^{32} +(-37.0941 + 27.7252i) q^{33} +(-1.70640 - 2.97676i) q^{34} +(-6.68826 - 6.68826i) q^{35} +(-34.4630 - 10.4069i) q^{36} +(6.16259 + 6.16259i) q^{37} +(-4.63416 + 17.0837i) q^{38} +(-4.11013 - 1.76369i) q^{39} +(23.2686 - 6.00429i) q^{40} +(-17.5575 + 30.4105i) q^{41} +(6.95452 + 17.5665i) q^{42} +(-16.7871 + 62.6504i) q^{43} +(-43.9308 + 43.3914i) q^{44} +(-23.7470 + 12.9209i) q^{45} +(-0.121461 + 39.3250i) q^{46} +(74.6613 - 43.1057i) q^{47} +(-47.4179 - 7.45291i) q^{48} +(-19.5424 + 33.8485i) q^{49} +(-16.0623 + 27.6233i) q^{50} +(4.04325 + 3.18453i) q^{51} +(-5.75057 - 1.57900i) q^{52} +(-15.8369 + 15.8369i) q^{53} +(53.7821 - 4.84670i) q^{54} +46.3699i q^{55} +(12.3927 + 21.9315i) q^{56} +(-3.13252 - 26.3661i) q^{57} +(-8.40104 - 31.7450i) q^{58} +(6.63154 + 24.7492i) q^{59} +(-29.0053 + 21.4014i) q^{60} +(50.8437 + 13.6235i) q^{61} +(-0.284215 + 92.0196i) q^{62} +(-19.5259 - 20.5394i) q^{63} +(-63.9890 - 1.18596i) q^{64} +(-3.87832 + 2.23915i) q^{65} +(36.7864 - 85.0023i) q^{66} +(-25.4705 - 95.0572i) q^{67} +(5.92165 + 3.46781i) q^{68} +(-21.8827 - 54.7788i) q^{69} +(18.2575 + 4.95256i) q^{70} +100.652 q^{71} +(70.1490 - 16.2210i) q^{72} +61.6188i q^{73} +(-16.8225 - 4.56331i) q^{74} +(6.85661 - 47.4377i) q^{75} +(-8.95133 - 34.2517i) q^{76} +(-46.9517 + 12.5807i) q^{77} +(8.88587 - 1.02789i) q^{78} +(39.1706 + 67.8455i) q^{79} +(-34.4019 + 33.5622i) q^{80} +(-72.1060 + 36.9015i) q^{81} +(0.216914 - 70.2297i) q^{82} +(34.0981 - 127.256i) q^{83} +(-29.5394 - 23.5628i) q^{84} +(4.97776 - 1.33379i) q^{85} +(-33.1871 - 125.404i) q^{86} +(29.4890 + 39.4540i) q^{87} +(33.0666 - 118.985i) q^{88} +82.3462 q^{89} +(28.3525 - 46.0394i) q^{90} +(-3.31948 - 3.31948i) q^{91} +(-38.9037 - 68.3549i) q^{92} +(-51.2050 - 128.181i) q^{93} +(-86.6722 + 149.056i) q^{94} +(-23.0238 - 13.2928i) q^{95} +(89.6892 - 34.2322i) q^{96} +(77.4982 + 134.231i) q^{97} +(0.241436 - 78.1693i) q^{98} +(-3.51334 + 138.887i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6}+O(q^{10}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6	\( 184 q - 6 q^{2} - 4 q^{3} - 2 q^{4} - 6 q^{5} - 10 q^{6} - 8 q^{10} - 6 q^{11} - 64 q^{12} - 2 q^{13} - 6 q^{14} - 8 q^{15} - 2 q^{16} + 54 q^{18} - 8 q^{19} + 120 q^{20} - 22 q^{21} - 2 q^{22} - 160 q^{24} + 44 q^{27} - 72 q^{28} - 6 q^{29} - 90 q^{30} - 4 q^{31} - 6 q^{32} - 8 q^{33} + 6 q^{34} - 202 q^{36} - 8 q^{37} - 6 q^{38} - 2 q^{40} + 44 q^{42} - 2 q^{43} + 46 q^{45} - 160 q^{46} - 12 q^{47} - 118 q^{48} + 472 q^{49} + 228 q^{50} - 48 q^{51} - 2 q^{52} + 206 q^{54} - 300 q^{56} - 92 q^{58} - 438 q^{59} - 90 q^{60} - 2 q^{61} - 204 q^{63} + 244 q^{64} - 12 q^{65} - 508 q^{66} - 2 q^{67} - 144 q^{68} + 14 q^{69} + 96 q^{70} + 6 q^{72} + 246 q^{74} + 152 q^{75} - 158 q^{76} - 6 q^{77} + 304 q^{78} - 4 q^{79} - 8 q^{81} - 388 q^{82} - 726 q^{83} + 542 q^{84} + 48 q^{85} + 894 q^{86} + 22 q^{88} - 528 q^{90} - 204 q^{91} - 348 q^{92} + 62 q^{93} - 18 q^{94} - 12 q^{95} + 262 q^{96} - 4 q^{97} + 286 q^{99}+O(q^{100}) \) 184 * q - 6 * q^2 - 4 * q^3 - 2 * q^4 - 6 * q^5 - 10 * q^6 - 8 * q^10 - 6 * q^11 - 64 * q^12 - 2 * q^13 - 6 * q^14 - 8 * q^15 - 2 * q^16 + 54 * q^18 - 8 * q^19 + 120 * q^20 - 22 * q^21 - 2 * q^22 - 160 * q^24 + 44 * q^27 - 72 * q^28 - 6 * q^29 - 90 * q^30 - 4 * q^31 - 6 * q^32 - 8 * q^33 + 6 * q^34 - 202 * q^36 - 8 * q^37 - 6 * q^38 - 2 * q^40 + 44 * q^42 - 2 * q^43 + 46 * q^45 - 160 * q^46 - 12 * q^47 - 118 * q^48 + 472 * q^49 + 228 * q^50 - 48 * q^51 - 2 * q^52 + 206 * q^54 - 300 * q^56 - 92 * q^58 - 438 * q^59 - 90 * q^60 - 2 * q^61 - 204 * q^63 + 244 * q^64 - 12 * q^65 - 508 * q^66 - 2 * q^67 - 144 * q^68 + 14 * q^69 + 96 * q^70 + 6 * q^72 + 246 * q^74 + 152 * q^75 - 158 * q^76 - 6 * q^77 + 304 * q^78 - 4 * q^79 - 8 * q^81 - 388 * q^82 - 726 * q^83 + 542 * q^84 + 48 * q^85 + 894 * q^86 + 22 * q^88 - 528 * q^90 - 204 * q^91 - 348 * q^92 + 62 * q^93 - 18 * q^94 - 12 * q^95 + 262 * q^96 - 4 * q^97 + 286 * q^99

Introduction

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