LMFDB - Embedded newform 144.3.w.a.29.8

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			29.8
Character	$\chi$	$=$	144.29
Dual form			144.3.w.a.5.8

$q$-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 $\left(\mathbb{Z}/144\mathbb{Z}\right)^\times$.

$n$	$37$	$65$	$127$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

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	0.843572	+	0.537016i	$0.180448\pi$
$5$	−0.777454	+	2.90150i	−0.155491	+	0.580299i	−0.999063	+	0.0432834i	$0.986218\pi$
$6$	−0.876653	−	5.93561i	−0.146109	−	0.989269i
$7$	2.72697	+	1.57442i	0.389567	+	0.224917i	0.681973	−	0.731378i	$-0.261122\pi$
$7$	2.72697	+	1.57442i	0.389567	+	0.224917i	−0.292405	+	0.956294i	$0.594456\pi$
$8$	−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	−0.862173	−	0.506615i	$-0.830897\pi$
$11$	−14.9108	+	3.99534i	−1.35553	+	0.363213i	−0.493356	+	0.869827i	$0.664230\pi$
$12$	−4.38272	+	11.1710i	−0.365227	+	0.930919i
$13$	−0.385861	+	1.44005i	−0.0296816	+	0.110773i	−0.979177	−	0.203007i	$-0.934929\pi$
$13$	−0.385861	+	1.44005i	−0.0296816	+	0.110773i	0.949496	+	0.313780i	$0.101595\pi$
$14$	−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	$-0.983932\pi$
$17$		−	1.71558i		−	0.100917i	0.998726	−	0.0504584i	$-0.0160682\pi$
$18$	12.3616	−	13.0840i	0.686757	−	0.726887i
$19$	6.25827	+	6.25827i	0.329382	+	0.329382i	0.852352	−	0.522969i	$-0.175176\pi$
$19$	6.25827	+	6.25827i	0.329382	+	0.329382i	−0.522969	+	0.852352i	$0.675176\pi$
$20$	−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	0.996646	−	0.0818390i	$-0.0260793\pi$
$23$	9.83131	+	17.0283i	0.427448	+	0.740362i	−0.569197	+	0.822201i	$0.692746\pi$
$24$	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	−0.999682	−	0.0252066i	$-0.991976\pi$
$29$	−4.24953	−	15.8594i	−0.146535	−	0.546877i	0.853147	−	0.521671i	$-0.174691\pi$
$30$	17.9037	+	2.07106i	0.596790	+	0.0690352i
$31$	23.0050	+	39.8458i	0.742097	+	1.28535i	0.951539	+	0.307529i	$0.0995020\pi$
$31$	23.0050	+	39.8458i	0.742097	+	1.28535i	−0.209442	+	0.977821i	$0.567165\pi$
$32$	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	−0.618907	−	0.785464i	$-0.712424\pi$
$37$	6.16259	−	6.16259i	0.166556	−	0.166556i	0.785464	+	0.618907i	$0.212424\pi$
$38$	−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	0.568484	−	0.822694i	$-0.307530\pi$
$41$	−17.5575	−	30.4105i	−0.428232	−	0.741719i	−0.996716	+	0.0809747i	$0.974197\pi$
$42$	6.95452	−	17.5665i	0.165584	−	0.418249i
$43$	−16.7871	−	62.6504i	−0.390398	−	1.45699i	−0.829479	−	0.558539i	$-0.811362\pi$
$43$	−16.7871	−	62.6504i	−0.390398	−	1.45699i	0.439080	−	0.898448i	$-0.355304\pi$
$44$	−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	0.993548	+	0.113409i	$0.0361770\pi$
$47$	74.6613	+	43.1057i	1.58854	+	0.917143i	0.594989	+	0.803734i	$0.297156\pi$
$48$	−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	0.541738	−	0.840548i	$-0.317767\pi$
$53$	−15.8369	−	15.8369i	−0.298810	−	0.298810i	−0.840548	+	0.541738i	$0.817767\pi$
$54$	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	−0.886680	−	0.462383i	$-0.846994\pi$
$59$	6.63154	−	24.7492i	0.112399	−	0.419479i	0.999079	+	0.0429046i	$0.0136612\pi$
$60$	−29.0053	−	21.4014i	−0.483422	−	0.356690i
$61$	50.8437	−	13.6235i	0.833504	−	0.223337i	0.183262	−	0.983064i	$-0.441334\pi$
$61$	50.8437	−	13.6235i	0.833504	−	0.223337i	0.650242	+	0.759727i	$0.274668\pi$
$62$	−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	0.465505	+	0.885045i	$0.345873\pi$
$67$	−25.4705	+	95.0572i	−0.380157	+	1.41876i	−0.845662	+	0.533719i	$0.820794\pi$
$68$	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	$-0.861312\pi$
$73$		−	61.6188i		−	0.844093i	0.906574	−	0.422046i	$-0.138688\pi$
$74$	−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	−0.504158	−	0.863611i	$-0.668197\pi$
$79$	39.1706	−	67.8455i	0.495830	−	0.858803i	0.999988	+	0.00480807i	$0.00153046\pi$
$80$	−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	0.793062	+	0.609142i	$0.208486\pi$
$83$	34.0981	+	127.256i	0.410821	+	1.53320i	−0.382241	+	0.924063i	$0.624847\pi$
$84$	−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	−0.121349	−	0.992610i	$-0.538722\pi$
$97$	77.4982	−	134.231i	0.798951	−	1.38382i	0.920300	−	0.391213i	$-0.127945\pi$
$98$	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	0.647943	−	0.761689i	$-0.275629\pi$
$101$	160.582	−	43.0279i	1.58992	−	0.426019i	0.941980	+	0.335670i	$0.108963\pi$
$102$	−10.1830	+	1.50397i	−0.0998337	+	0.0147448i
$103$	15.6351	−	9.02692i	0.151797	−	0.0876400i	−0.422178	−	0.906513i	$-0.638734\pi$
$103$	15.6351	−	9.02692i	0.151797	−	0.0876400i	0.573975	+	0.818873i	$0.305401\pi$
$104$	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	0.795502	−	0.605951i	$-0.207207\pi$
$107$	20.2819	+	20.2819i	0.189551	+	0.189551i	−0.605951	+	0.795502i	$0.707207\pi$
$108$	−88.4982	−	61.9037i	−0.819428	−	0.573183i
$109$	0.165303	+	0.165303i	0.00151654	+	0.00151654i	0.707865	−	0.706348i	$-0.249659\pi$
$109$	0.165303	+	0.165303i	0.00151654	+	0.00151654i	−0.706348	+	0.707865i	$0.749659\pi$
$110$	−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	−0.986570	−	0.163337i	$-0.947774\pi$
$113$	−151.239	+	87.3181i	−1.33840	+	0.772726i	−0.351831	+	0.936064i	$0.614441\pi$
$114$	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	−0.102839	−	0.994698i	$-0.532793\pi$
$131$	−90.2916	−	24.1936i	−0.689249	−	0.184684i	−0.586410	+	0.810014i	$0.699459\pi$
$132$	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	−0.625892	−	0.779910i	$-0.715265\pi$
$137$	49.6591	−	86.0121i	0.362475	−	0.627826i	0.988368	+	0.152084i	$0.0485984\pi$
$138$	92.4549	−	73.2828i	0.669963	−	0.531034i
$139$	−184.778	−	49.5112i	−1.32934	−	0.356195i	−0.476871	−	0.878974i	$-0.658229\pi$
$139$	−184.778	−	49.5112i	−1.32934	−	0.356195i	−0.852469	+	0.522778i	$0.824896\pi$
$140$	−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	−0.929899	−	0.367814i	$-0.880106\pi$
$149$	8.83929	−	32.9887i	0.0593241	−	0.221401i	0.989223	+	0.146413i	$0.0467730\pi$
$150$	35.2866	−	89.1305i	0.235244	−	0.594203i
$151$	−108.388	−	62.5780i	−0.717803	−	0.414424i	0.0961405	−	0.995368i	$-0.469350\pi$
$151$	−108.388	−	62.5780i	−0.717803	−	0.414424i	−0.813944	+	0.580944i	$0.802684\pi$
$152$	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	−0.991432	−	0.130627i	$-0.958301\pi$
$157$	−10.5996	+	39.5583i	−0.0675134	+	0.251963i	0.923918	+	0.382590i	$0.124968\pi$
$158$	−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	0.888638	−	0.458610i	$-0.151652\pi$
$163$	70.0945	+	70.0945i	0.430028	+	0.430028i	−0.458610	+	0.888638i	$0.651652\pi$
$164$	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	0.776407	+	0.630232i	$0.217040\pi$
$167$	155.978	+	270.162i	0.934000	+	1.61774i	0.157594	+	0.987504i	$0.449626\pi$
$168$	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	0.997640	+	0.0686680i	$0.0218749\pi$
$173$	29.0627	+	108.463i	0.167992	+	0.626956i	−0.829647	+	0.558288i	$0.811458\pi$
$174$	−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	−0.649224	−	0.760597i	$-0.724906\pi$
$179$	19.9359	−	19.9359i	0.111374	−	0.111374i	0.760597	+	0.649224i	$0.224906\pi$
$180$	−3.40237	−	108.085i	−0.0189021	−	0.600473i
$181$	−184.590	+	184.590i	−1.01983	+	1.01983i	−0.0200327	+	0.999799i	$0.506377\pi$
$181$	−184.590	+	184.590i	−1.01983	+	1.01983i	−0.999799	+	0.0200327i	$0.993623\pi$
$182$	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	0.202085	−	0.979368i	$-0.435228\pi$
$191$	−104.101	−	60.1025i	−0.545029	−	0.314673i	−0.747115	+	0.664695i	$0.768561\pi$
$192$	−121.574	−	148.606i	−0.633196	−	0.773991i
$193$	116.405	+	201.619i	0.603133	+	1.04466i	0.992344	+	0.123508i	$0.0394146\pi$
$193$	116.405	+	201.619i	0.603133	+	1.04466i	−0.389210	+	0.921149i	$0.627252\pi$
$194$	−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	0.0463865	−	0.998924i	$-0.485229\pi$
$197$	−187.650	−	187.650i	−0.952537	−	0.952537i	−0.998924	+	0.0463865i	$0.985229\pi$
$198$	−132.047	+	244.481i	−0.666905	+	1.23475i
$199$		−	334.994i		−	1.68339i	−0.539954	−	0.841694i	$-0.681558\pi$
$199$		−	334.994i		−	1.68339i	0.539954	−	0.841694i	$-0.318442\pi$
$200$	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	−0.998587	−	0.0531454i	$-0.983075\pi$
$211$	−22.6219	+	84.4259i	−0.107213	+	0.400123i	0.891374	+	0.453268i	$0.149742\pi$
$212$	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	−0.979111	−	0.203325i	$-0.934825\pi$
$223$	−69.9040	+	121.077i	−0.313471	+	0.542947i	0.665640	+	0.746273i	$0.268158\pi$
$224$	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	0.913817	−	0.406125i	$-0.133120\pi$
$227$	−18.3040	−	68.3114i	−0.0806343	−	0.300931i	−0.994452	+	0.105194i	$0.966454\pi$
$228$	−97.3395	+	42.4830i	−0.426927	+	0.186329i
$229$	−179.795	−	48.1760i	−0.785132	−	0.210376i	−0.156086	−	0.987743i	$-0.549888\pi$
$229$	−179.795	−	48.1760i	−0.785132	−	0.210376i	−0.629046	+	0.777368i	$0.716554\pi$
$230$	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	0.462551	−	0.886592i	$-0.346934\pi$
$239$	349.332	−	201.687i	1.46164	−	0.843878i	0.999087	+	0.0427149i	$0.0136007\pi$
$240$	15.2406	−	143.377i	0.0635025	−	0.597404i
$241$	13.9214	−	24.1126i	0.0577652	−	0.100052i	−0.835697	−	0.549191i	$-0.814936\pi$
$241$	13.9214	−	24.1126i	0.0577652	−	0.100052i	0.893462	+	0.449139i	$0.148269\pi$
$242$	−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	0.595950	−	0.803021i	$-0.296775\pi$
$251$	−51.9748	−	51.9748i	−0.207071	−	0.207071i	−0.803021	+	0.595950i	$0.796775\pi$
$252$	−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	−0.641935	−	0.766759i	$-0.721868\pi$
$257$	−76.8094	+	44.3459i	−0.298869	+	0.172552i	0.343066	+	0.939311i	$0.388535\pi$
$258$	−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	0.00112531	+	0.999999i	$0.499642\pi$
$263$	−227.617	+	394.243i	−0.865462	+	1.49902i	−0.866588	+	0.499025i	$0.833692\pi$
$264$	−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	0.00711237	−	0.999975i	$-0.497736\pi$
$269$	270.906	−	270.906i	1.00709	−	1.00709i	0.999975	−	0.00711237i	$-0.00226396\pi$
$270$	−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	0.892230	+	0.451581i	$0.149140\pi$
$277$	95.6554	+	356.991i	0.345327	+	1.28878i	−0.546904	+	0.837195i	$0.684194\pi$
$278$	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	−0.755144	−	0.655558i	$-0.772433\pi$
$281$	53.4344	−	92.5511i	0.190158	−	0.329363i	0.945302	+	0.326195i	$0.105767\pi$
$282$	190.407	−	480.949i	0.675201	−	1.70549i
$283$	185.291	+	49.6487i	0.654740	+	0.175437i	0.570871	−	0.821040i	$-0.306606\pi$
$283$	185.291	+	49.6487i	0.654740	+	0.175437i	0.0838690	+	0.996477i	$0.473272\pi$
$284$	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	−0.740390	−	0.672178i	$-0.765359\pi$
$293$	69.4104	−	259.043i	0.236896	−	0.884106i	0.977285	−	0.211928i	$-0.0679744\pi$
$294$	−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	0.915973	−	0.401240i	$-0.131421\pi$
$307$	158.023	+	158.023i	0.514734	+	0.514734i	−0.401240	+	0.915973i	$0.631421\pi$
$308$	−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	0.709553	−	0.704652i	$-0.248897\pi$
$311$	−79.4511	−	137.613i	−0.255470	−	0.442486i	−0.965023	+	0.262165i	$0.915563\pi$
$312$	14.4136	+	32.7489i	0.0461974	+	0.104964i
$313$	−235.949	−	136.225i	−0.753830	−	0.435224i	0.0732460	−	0.997314i	$-0.476664\pi$
$313$	−235.949	−	136.225i	−0.753830	−	0.435224i	−0.827076	+	0.562090i	$0.809998\pi$
$314$	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	−0.959462	−	0.281838i	$-0.909056\pi$
$317$	−85.4196	−	318.790i	−0.269463	−	1.00565i	0.689999	−	0.723810i	$-0.257611\pi$
$318$	−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	0.976235	+	0.216713i	$0.0695335\pi$
$331$	79.1577	+	295.420i	0.239147	+	0.892509i	−0.737088	+	0.675796i	$0.763800\pi$
$332$	−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	0.825783	+	0.563989i	$0.190734\pi$
$337$	303.745	+	526.101i	0.901320	+	1.56113i	0.0755371	+	0.997143i	$0.475933\pi$
$338$	−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	−0.436142	−	0.899878i	$-0.643655\pi$
$347$	135.853	−	507.010i	0.391507	−	1.46112i	0.827649	−	0.561246i	$-0.189678\pi$
$348$	195.791	+	22.0360i	0.562617	+	0.0633217i
$349$	138.405	−	37.0856i	0.396577	−	0.106262i	−0.0550184	−	0.998485i	$-0.517522\pi$
$349$	138.405	−	37.0856i	0.396577	−	0.106262i	0.451595	+	0.892223i	$0.350855\pi$
$350$	−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	0.475023	−	0.879973i	$-0.342440\pi$
$353$	−17.4894	−	10.0975i	−0.0495449	−	0.0286048i	−0.524568	+	0.851369i	$0.675773\pi$
$354$	−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	−0.353367	−	0.935485i	$-0.614963\pi$
$367$	232.484	−	402.673i	0.633470	−	1.09720i	0.986837	−	0.161718i	$-0.0517034\pi$
$368$	−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	0.152088	−	0.988367i	$-0.451400\pi$
$373$	−78.4727	−	21.0267i	−0.210383	−	0.0563719i	−0.362471	+	0.931995i	$0.618067\pi$
$374$	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	−0.409649	−	0.912243i	$-0.634349\pi$
$379$	190.483	−	190.483i	0.502594	−	0.502594i	0.912243	+	0.409649i	$0.134349\pi$
$380$	−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	−0.376034	−	0.926606i	$-0.622712\pi$
$383$	91.3122	−	52.7191i	0.238413	−	0.137648i	0.614447	+	0.788958i	$0.289379\pi$
$384$	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	−0.365941	−	0.930638i	$-0.619253\pi$
$389$	−84.6218	+	22.6743i	−0.217537	+	0.0582888i	0.148405	+	0.988927i	$0.452586\pi$
$390$	−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	0.246367	−	0.969177i	$-0.420763\pi$
$397$	−286.956	−	286.956i	−0.722810	−	0.722810i	−0.969177	+	0.246367i	$0.920763\pi$
$398$	−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	−0.801094	−	0.598538i	$-0.795748\pi$
$401$	−274.000	+	158.194i	−0.683292	+	0.394499i	0.117802	+	0.993037i	$0.462415\pi$
$402$	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	−0.337410	−	0.941358i	$-0.609551\pi$
$409$	126.432	−	72.9956i	0.309125	−	0.178473i	0.646535	+	0.762884i	$0.276217\pi$
$410$	−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	−0.0668394	−	0.997764i	$-0.521292\pi$
$419$	−261.291	−	70.0127i	−0.623606	−	0.167095i	−0.556767	+	0.830669i	$0.687958\pi$
$420$	−45.4019	−	104.027i	−0.108100	−	0.247684i
$421$	−1.82506	−	6.81122i	−0.00433506	−	0.0161787i	0.963724	−	0.266899i	$-0.0859991\pi$
$421$	−1.82506	−	6.81122i	−0.00433506	−	0.0161787i	−0.968059	+	0.250721i	$0.919332\pi$
$422$	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	$0.101324\pi$
$431$			269.780i			0.625940i	−0.949763	+	0.312970i	$0.898676\pi$
$432$	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	0.570419	−	0.821354i	$-0.306781\pi$
$439$	63.3543	+	36.5776i	0.144315	+	0.0833204i	−0.426104	+	0.904674i	$0.640114\pi$
$440$	−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	0.0274196	−	0.999624i	$-0.491271\pi$
$443$	244.083	−	65.4019i	0.550978	−	0.147634i	0.523558	+	0.851990i	$0.324604\pi$
$444$	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	$0.142868\pi$
$449$			389.654i			0.867827i	−0.900954	+	0.433914i	$0.857132\pi$
$450$	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	0.0132905	−	0.999912i	$-0.495769\pi$
$457$	−386.628	−	223.220i	−0.846013	−	0.488446i	−0.859304	+	0.511466i	$0.829103\pi$
$458$	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	0.898137	−	0.439715i	$-0.144921\pi$
$461$	−45.8834	−	171.239i	−0.0995301	−	0.371451i	−0.997667	+	0.0682640i	$0.978254\pi$
$462$	−33.5136	+	289.716i	−0.0725402	+	0.627091i
$463$	−107.293	−	185.837i	−0.231735	−	0.401376i	0.726584	−	0.687078i	$-0.241107\pi$
$463$	−107.293	−	185.837i	−0.231735	−	0.401376i	−0.958319	+	0.285701i	$0.907773\pi$
$464$	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	−0.988606	−	0.150528i	$-0.951903\pi$
$467$	−391.382	+	391.382i	−0.838078	+	0.838078i	0.150528	+	0.988606i	$0.451903\pi$
$468$	−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	0.537092	−	0.843524i	$-0.319523\pi$
$479$	35.9850	+	20.7760i	0.0751253	+	0.0433736i	−0.461967	+	0.886897i	$0.652856\pi$
$480$	−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	$0.187667\pi$
$487$			541.550i			1.11201i	−0.831178	+	0.556007i	$0.812333\pi$
$488$	−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	−0.987316	−	0.158769i	$-0.949248\pi$
$491$	−25.9694	+	96.9192i	−0.0528909	+	0.197391i	0.934425	+	0.356160i	$0.115914\pi$
$492$	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	−0.682080	−	0.731277i	$-0.738924\pi$
$499$	136.854	−	510.748i	0.274257	−	1.02354i	0.956337	−	0.292265i	$-0.0944088\pi$
$500$	−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	0.916502	−	0.400029i	$-0.131000\pi$
$509$	768.693	+	205.971i	1.51020	+	0.404658i	0.593700	+	0.804687i	$0.297667\pi$
$510$	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	−0.695590	−	0.718439i	$-0.744857\pi$
$523$	11.9498	−	11.9498i	0.0228486	−	0.0228486i	0.718439	+	0.695590i	$0.244857\pi$
$524$	−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	0.702131	−	0.712048i	$-0.252232\pi$
$541$	−5.36536	−	5.36536i	−0.00991749	−	0.00991749i	−0.712048	+	0.702131i	$0.752232\pi$
$542$	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	0.520880	−	0.853630i	$-0.325604\pi$
$547$	765.138	−	205.018i	1.39879	−	0.374805i	0.877910	+	0.478825i	$0.158937\pi$
$548$	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	−0.966586	−	0.256342i	$-0.917483\pi$
$557$	−395.606	+	395.606i	−0.710245	+	0.710245i	0.256342	+	0.966586i	$0.417483\pi$
$558$	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	−0.251175	−	0.967942i	$-0.580817\pi$
$563$	−536.354	−	143.715i	−0.952671	−	0.255267i	−0.701495	+	0.712674i	$0.747484\pi$
$564$	−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	−0.673625	−	0.739074i	$-0.735263\pi$
$569$	172.546	−	298.859i	0.303244	−	0.525235i	0.976869	+	0.213839i	$0.0685968\pi$
$570$	99.0850	+	125.007i	0.173833	+	0.219311i
$571$	−633.665	−	169.790i	−1.10975	−	0.297355i	−0.343018	−	0.939329i	$-0.611449\pi$
$571$	−633.665	−	169.790i	−1.10975	−	0.297355i	−0.766727	+	0.641973i	$0.778116\pi$
$572$	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	−0.730259	−	0.683170i	$-0.760601\pi$
$587$	−599.384	+	160.604i	−1.02110	+	0.273602i	−0.290838	+	0.956772i	$0.593934\pi$
$588$	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	$0.0574577\pi$
$593$			212.922i			0.359060i	−0.983753	+	0.179530i	$0.942542\pi$
$594$	−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	−0.982811	−	0.184615i	$-0.940896\pi$
$599$	−390.121	−	675.709i	−0.651287	−	1.12806i	0.331524	−	0.943447i	$-0.392437\pi$
$600$	378.977	−	58.3669i	0.631628	−	0.0972782i
$601$	−891.314	−	514.601i	−1.48305	−	0.856241i	−0.483237	−	0.875489i	$-0.660539\pi$
$601$	−891.314	−	514.601i	−1.48305	−	0.856241i	−0.999815	+	0.0192489i	$0.993873\pi$
$602$	−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	0.722807	−	0.691050i	$-0.242852\pi$
$607$	−143.898	−	249.238i	−0.237064	−	0.410606i	−0.959870	+	0.280444i	$0.909518\pi$
$608$	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	0.297510	−	0.954719i	$-0.403844\pi$
$613$	767.616	−	767.616i	1.25223	−	1.25223i	0.954719	−	0.297510i	$-0.0961561\pi$
$614$	−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	0.688417	−	0.725316i	$-0.258306\pi$
$617$	−175.187	−	303.433i	−0.283933	−	0.491787i	−0.972350	+	0.233528i	$0.924973\pi$
$618$	−67.2869	−	84.8903i	−0.108878	−	0.137363i
$619$	−73.8523	−	275.620i	−0.119309	−	0.445267i	0.880264	−	0.474484i	$-0.157365\pi$
$619$	−73.8523	−	275.620i	−0.119309	−	0.445267i	−0.999573	+	0.0292168i	$0.990699\pi$
$620$	−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	$-0.635100\pi$
$631$		−	1150.03i		−	1.82255i	0.411800	−	0.911274i	$-0.364900\pi$
$632$	−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	0.870644	−	0.491913i	$-0.163702\pi$
$641$	564.053	+	325.656i	0.879957	+	0.508044i	0.00931304	+	0.999957i	$0.497036\pi$
$642$	102.605	−	138.166i	0.159822	−	0.215212i
$643$	324.087	−	1209.51i	0.504023	−	1.88104i	0.0319305	−	0.999490i	$-0.489834\pi$
$643$	324.087	−	1209.51i	0.504023	−	1.88104i	0.472092	−	0.881549i	$-0.343499\pi$
$644$	−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	0.575075	−	0.818101i	$-0.304973\pi$
$653$	433.627	+	116.190i	0.664053	+	0.177933i	0.0889787	+	0.996034i	$0.471640\pi$
$654$	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	−0.820431	−	0.571745i	$-0.806267\pi$
$659$	−260.825	−	973.413i	−0.395790	−	1.47711i	0.424642	−	0.905361i	$-0.360400\pi$
$660$	517.999	+	203.226i	0.784847	+	0.307918i
$661$	426.457	+	114.269i	0.645170	+	0.172873i	0.566544	−	0.824031i	$-0.308280\pi$
$661$	426.457	+	114.269i	0.645170	+	0.172873i	0.0786260	+	0.996904i	$0.474947\pi$
$662$	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	−0.963724	−	0.266899i	$-0.914001\pi$
$673$	−168.735	+	292.258i	−0.250721	+	0.434261i	0.713004	+	0.701160i	$0.247334\pi$
$674$	−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	0.367588	−	0.929989i	$-0.380184\pi$
$677$	779.175	−	208.779i	1.15092	−	0.308389i	0.783335	+	0.621600i	$0.213517\pi$
$678$	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	0.707220	−	0.706993i	$-0.249949\pi$
$683$	0.155247	+	0.155247i	0.000227302	+	0.000227302i	−0.706993	+	0.707220i	$0.749949\pi$
$684$	−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	−0.954701	−	0.297566i	$-0.903825\pi$
$691$	−1128.21	+	302.302i	−1.63271	+	0.437484i	−0.678013	+	0.735050i	$0.737159\pi$
$692$	−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	−0.874352	−	0.485293i	$-0.838713\pi$
$701$	−272.730	+	272.730i	−0.389059	+	0.389059i	0.485293	+	0.874352i	$0.338713\pi$
$702$	−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	0.533072	+	0.846070i	$0.321037\pi$
$709$	350.567	+	1308.33i	0.494453	+	1.84532i	−0.0386190	+	0.999254i	$0.512296\pi$
$710$	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	$-0.905669\pi$
$719$		−	419.941i		−	0.584062i	0.956409	−	0.292031i	$-0.0943311\pi$
$720$	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	0.728594	−	0.684945i	$-0.240174\pi$
$727$	363.290	+	209.746i	0.499711	+	0.288508i	−0.228883	+	0.973454i	$0.573507\pi$
$728$	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	0.843895	+	0.536509i	$0.180257\pi$
$733$	−113.757	+	424.547i	−0.155194	+	0.579191i	−0.999089	+	0.0426826i	$0.986410\pi$
$734$	−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	0.972195	−	0.234174i	$-0.0752386\pi$
$739$	545.397	+	545.397i	0.738020	+	0.738020i	−0.234174	+	0.972195i	$0.575239\pi$
$740$	−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	0.820439	−	0.571734i	$-0.193729\pi$
$743$	−63.0928	−	109.280i	−0.0849163	−	0.147079i	−0.905356	+	0.424654i	$0.860396\pi$
$744$	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	0.935260	+	0.353962i	$0.115166\pi$
$751$	581.401	+	1007.02i	0.774170	+	1.34090i	−0.161090	+	0.986940i	$0.551501\pi$
$752$	−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	0.443910	−	0.896071i	$-0.353591\pi$
$757$	1014.37	−	1014.37i	1.33998	−	1.33998i	0.896071	−	0.443910i	$-0.146409\pi$
$758$	−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	0.977186	−	0.212384i	$-0.0681227\pi$
$761$	231.849	+	401.574i	0.304663	+	0.527693i	−0.672523	+	0.740076i	$0.734789\pi$
$762$	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	0.796860	−	0.604164i	$-0.206493\pi$
$769$	−95.9642	−	166.215i	−0.124791	−	0.216144i	−0.921651	+	0.388019i	$0.873159\pi$
$770$	−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	0.783496	−	0.621397i	$-0.213434\pi$
$773$	125.303	+	125.303i	0.162100	+	0.162100i	−0.621397	+	0.783496i	$0.713434\pi$
$774$	−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	−0.942768	−	0.333449i	$-0.891788\pi$
$787$	31.8085	−	118.711i	0.0404174	−	0.150840i	0.983186	+	0.182609i	$0.0584543\pi$
$788$	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	0.0590255	−	0.998256i	$-0.481201\pi$
$797$	−310.021	−	83.0699i	−0.388985	−	0.104228i	−0.448011	+	0.894028i	$0.647867\pi$
$798$	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	−0.779265	−	0.626695i	$-0.784407\pi$
$811$	−123.734	+	123.734i	−0.152569	+	0.152569i	0.626695	+	0.779265i	$0.284407\pi$
$812$	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	−0.295667	−	0.955291i	$-0.595542\pi$
$821$	−60.8171	+	16.2959i	−0.0740769	+	0.0198488i	0.221590	+	0.975140i	$0.428875\pi$
$822$	−554.068	−	219.354i	−0.674049	−	0.266855i
$823$	844.012	−	487.290i	1.02553	−	0.592090i	0.109830	−	0.993950i	$-0.464969\pi$
$823$	844.012	−	487.290i	1.02553	−	0.592090i	0.915701	+	0.401860i	$0.131636\pi$
$824$	−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	−0.999994	−	0.00332532i	$-0.998942\pi$
$827$	−829.745	−	829.745i	−1.00332	−	1.00332i	−0.00332532	−	0.999994i	$-0.501058\pi$
$828$	−516.029	−	484.533i	−0.623223	−	0.585184i
$829$	801.949	+	801.949i	0.967369	+	0.967369i	0.999484	−	0.0321156i	$-0.0102245\pi$
$829$	801.949	+	801.949i	0.967369	+	0.967369i	−0.0321156	+	0.999484i	$0.510224\pi$
$830$	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	−0.925647	−	0.378388i	$-0.876478\pi$
$839$	−113.374	+	196.369i	−0.135130	+	0.234051i	0.790517	+	0.612440i	$0.209812\pi$
$840$	−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	0.960525	+	0.278193i	$0.0897356\pi$
$853$	228.419	+	852.470i	0.267783	+	0.999379i	−0.692742	+	0.721185i	$0.743598\pi$
$854$	−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	−0.434466	−	0.900688i	$-0.643063\pi$
$857$	482.308	−	835.382i	0.562786	−	0.974774i	0.997252	−	0.0740858i	$-0.0236039\pi$
$858$	−136.602	+	20.1753i	−0.159210	+	0.0235144i
$859$	−537.040	−	143.900i	−0.625193	−	0.167520i	−0.0677053	−	0.997705i	$-0.521568\pi$
$859$	−537.040	−	143.900i	−0.625193	−	0.167520i	−0.557487	+	0.830186i	$0.688234\pi$
$860$	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	$-0.976860\pi$
$863$		−	125.363i		−	0.145264i	0.997359	−	0.0726322i	$-0.0231399\pi$
$864$	−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	−0.638592	−	0.769545i	$-0.720483\pi$
$877$	262.414	−	979.341i	0.299217	−	1.11669i	0.937810	−	0.347149i	$-0.112850\pi$
$878$	−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	$-0.791778\pi$
$881$		−	1072.15i		−	1.21697i	0.793567	−	0.608483i	$-0.208222\pi$
$882$	−684.448	−	162.730i	−0.776018	−	0.184501i
$883$	111.949	+	111.949i	0.126783	+	0.126783i	0.767651	−	0.640868i	$-0.221426\pi$
$883$	111.949	+	111.949i	0.126783	+	0.126783i	−0.640868	+	0.767651i	$0.721426\pi$
$884$	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	−0.998174	−	0.0603968i	$-0.980763\pi$
$887$	−489.085	−	847.120i	−0.551392	−	0.955040i	0.446782	−	0.894643i	$-0.352570\pi$
$888$	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	0.911513	+	0.411271i	$0.134915\pi$
$907$	297.274	+	1109.44i	0.327755	+	1.22320i	−0.583758	+	0.811927i	$0.698418\pi$
$908$	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	0.525784	−	0.850618i	$-0.323772\pi$
$911$	47.3899	+	27.3606i	0.0520197	+	0.0300336i	−0.473765	+	0.880652i	$0.657105\pi$
$912$	−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	$0.118558\pi$
$919$			668.864i			0.727817i	−0.931435	+	0.363908i	$0.881442\pi$
$920$	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	0.187909	−	0.982186i	$-0.439829\pi$
$929$	−528.355	−	305.046i	−0.568735	−	0.328359i	−0.756644	+	0.653827i	$0.773162\pi$
$930$	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	$0.126452\pi$
$937$			725.042i			0.773790i	−0.922124	+	0.386895i	$0.873548\pi$
$938$	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	−0.678337	−	0.734751i	$-0.737299\pi$
$941$	−1536.81	−	411.788i	−1.63317	−	0.437606i	−0.954832	+	0.297145i	$0.903966\pi$
$942$	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	0.984871	−	0.173288i	$-0.0554392\pi$
$947$	42.9026	+	160.115i	0.0453036	+	0.169076i	−0.939568	+	0.342364i	$0.888773\pi$
$948$	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	−0.632225	+	0.774785i	$0.717858\pi$
$967$	−1565.88	+	904.063i	−1.61932	+	0.934915i	−0.987096	+	0.160131i	$0.948808\pi$
$968$	−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	0.963936	−	0.266133i	$-0.0857459\pi$
$971$	677.568	+	677.568i	0.697804	+	0.697804i	−0.266133	+	0.963936i	$0.585746\pi$
$972$	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	−0.169642	−	0.985506i	$-0.554261\pi$
$977$	585.233	−	337.884i	0.599010	−	0.345839i	0.768652	+	0.639667i	$0.220928\pi$
$978$	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	0.0750925	+	0.997177i	$0.476075\pi$
$983$	−811.991	+	1406.41i	−0.826034	+	1.43073i	−0.901127	+	0.433556i	$0.857259\pi$
$984$	−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	0.882353	−	0.470588i	$-0.155958\pi$
$997$	−116.730	−	435.642i	−0.117081	−	0.436953i	−0.999434	+	0.0336353i	$0.989292\pi$
$998$	−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.29.8	yes	184
3.2	odd	2		432.3.x.a.413.39		184
9.4	even	3		432.3.x.a.125.38		184
9.5	odd	6	inner	144.3.w.a.77.9	yes	184
16.5	even	4	inner	144.3.w.a.101.9	yes	184
48.5	odd	4		432.3.x.a.197.38		184
144.5	odd	12	inner	144.3.w.a.5.8	✓	184
144.85	even	12		432.3.x.a.341.39		184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
144.3.w.a.5.8	✓	184	144.5	odd	12	inner
144.3.w.a.29.8	yes	184	1.1	even	1	trivial
144.3.w.a.77.9	yes	184	9.5	odd	6	inner
144.3.w.a.101.9	yes	184	16.5	even	4	inner
432.3.x.a.125.38		184	9.4	even	3
432.3.x.a.197.38		184	48.5	odd	4
432.3.x.a.341.39		184	144.85	even	12
432.3.x.a.413.39		184	3.2	odd	2

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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