LMFDB - Embedded newform 108.3.j.a.31.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

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

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			31.11
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08954 - 1.67717i) q^{2} +(-2.24560 + 1.98929i) q^{3} +(-1.62579 + 3.65470i) q^{4} +(0.641948 - 3.64067i) q^{5} +(5.78306 + 1.59883i) q^{6} +(2.33709 + 2.78523i) q^{7} +(7.90091 - 1.25523i) q^{8} +(1.08543 - 8.93431i) q^{9} +O(q^{10})$	\(q+(-1.08954 - 1.67717i) q^{2} +(-2.24560 + 1.98929i) q^{3} +(-1.62579 + 3.65470i) q^{4} +(0.641948 - 3.64067i) q^{5} +(5.78306 + 1.59883i) q^{6} +(2.33709 + 2.78523i) q^{7} +(7.90091 - 1.25523i) q^{8} +(1.08543 - 8.93431i) q^{9} +(-6.80544 + 2.89001i) q^{10} +(15.6847 - 2.76563i) q^{11} +(-3.61939 - 11.4412i) q^{12} +(13.1438 - 4.78396i) q^{13} +(2.12495 - 6.95433i) q^{14} +(5.80079 + 9.45250i) q^{15} +(-10.7136 - 11.8835i) q^{16} +(4.98573 - 8.63554i) q^{17} +(-16.1670 + 7.91386i) q^{18} +(-14.6667 + 8.46782i) q^{19} +(12.2619 + 8.26508i) q^{20} +(-10.7888 - 1.60537i) q^{21} +(-21.7276 - 23.2926i) q^{22} +(0.374408 - 0.446202i) q^{23} +(-15.2453 + 18.5360i) q^{24} +(10.6500 + 3.87627i) q^{25} +(-22.3443 - 16.8321i) q^{26} +(15.3355 + 22.2221i) q^{27} +(-13.9788 + 4.01315i) q^{28} +(16.6023 + 6.04274i) q^{29} +(9.53322 - 20.0278i) q^{30} +(18.3535 - 21.8729i) q^{31} +(-8.25774 + 30.9162i) q^{32} +(-29.7199 + 37.4119i) q^{33} +(-19.9154 + 1.04689i) q^{34} +(11.6404 - 6.72059i) q^{35} +(30.8875 + 18.4922i) q^{36} +(-31.7620 + 55.0133i) q^{37} +(30.1820 + 15.3725i) q^{38} +(-19.9990 + 36.8897i) q^{39} +(0.502105 - 29.5704i) q^{40} +(59.2116 - 21.5512i) q^{41} +(9.06241 + 19.8438i) q^{42} +(-1.70662 + 0.300923i) q^{43} +(-15.3924 + 61.8191i) q^{44} +(-31.8300 - 9.68705i) q^{45} +(-1.15629 - 0.141789i) q^{46} +(-51.7208 - 61.6385i) q^{47} +(47.6983 + 5.37314i) q^{48} +(6.21322 - 35.2369i) q^{49} +(-5.10244 - 22.0851i) q^{50} +(5.98266 + 29.3100i) q^{51} +(-3.88516 + 55.8143i) q^{52} -66.4040 q^{53} +(20.5615 - 49.9322i) q^{54} -58.8781i q^{55} +(21.9612 + 19.0723i) q^{56} +(16.0905 - 48.1917i) q^{57} +(-7.95423 - 34.4287i) q^{58} +(-65.4349 - 11.5379i) q^{59} +(-43.9769 + 5.83236i) q^{60} +(5.43023 - 4.55650i) q^{61} +(-56.6815 - 6.95051i) q^{62} +(27.4209 - 17.8571i) q^{63} +(60.8488 - 19.8349i) q^{64} +(-8.97915 - 50.9233i) q^{65} +(95.1272 + 9.08330i) q^{66} +(12.7838 + 35.1231i) q^{67} +(23.4545 + 32.2609i) q^{68} +(0.0468560 + 1.74680i) q^{69} +(-23.9543 - 12.2005i) q^{70} +(-12.7937 - 7.38644i) q^{71} +(-2.63869 - 71.9516i) q^{72} +(66.1544 + 114.583i) q^{73} +(126.873 - 6.66926i) q^{74} +(-31.6266 + 12.4813i) q^{75} +(-7.10235 - 67.3692i) q^{76} +(44.3594 + 37.2220i) q^{77} +(83.6601 - 6.65120i) q^{78} +(24.4484 - 67.1713i) q^{79} +(-50.1416 + 31.3761i) q^{80} +(-78.6437 - 19.3952i) q^{81} +(-100.659 - 75.8267i) q^{82} +(-8.25600 + 22.6832i) q^{83} +(23.4075 - 36.8198i) q^{84} +(-28.2385 - 23.6950i) q^{85} +(2.36413 + 2.53442i) q^{86} +(-49.3029 + 19.4572i) q^{87} +(120.452 - 41.5389i) q^{88} +(-29.6464 - 51.3491i) q^{89} +(18.4334 + 63.9388i) q^{90} +(44.0427 + 25.4281i) q^{91} +(1.02202 + 2.09378i) q^{92} +(2.29689 + 85.6284i) q^{93} +(-47.0260 + 153.902i) q^{94} +(21.4132 + 58.8324i) q^{95} +(-42.9577 - 85.8524i) q^{96} +(13.3273 + 75.5830i) q^{97} +(-65.8678 + 27.9715i) q^{98} +(-7.68436 - 143.134i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$-1$

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 $

$2$	−1.08954	−	1.67717i	−0.544772	−	0.838584i
$2$	−1.08954	−	1.67717i	−0.544772	−	0.838584i
$3$	−2.24560	+	1.98929i	−0.748533	+	0.663097i
$3$	−2.24560	+	1.98929i	−0.748533	+	0.663097i
$4$	−1.62579	+	3.65470i	−0.406447	+	0.913674i
$5$	0.641948	−	3.64067i	0.128390	−	0.728133i	−0.850847	−	0.525413i	$-0.823911\pi$
$5$	0.641948	−	3.64067i	0.128390	−	0.728133i	0.979237	−	0.202720i	$-0.0649781\pi$
$6$	5.78306	+	1.59883i	0.963843	+	0.266471i
$7$	2.33709	+	2.78523i	0.333870	+	0.397891i	0.906695	−	0.421787i	$-0.138597\pi$
$7$	2.33709	+	2.78523i	0.333870	+	0.397891i	−0.572825	+	0.819678i	$0.694153\pi$
$8$	7.90091	−	1.25523i	0.987614	−	0.156904i
$9$	1.08543	−	8.93431i	0.120604	−	0.992701i
$10$	−6.80544	+	2.89001i	−0.680544	+	0.289001i
$11$	15.6847	−	2.76563i	1.42588	−	0.251421i	0.593147	−	0.805094i	$-0.297885\pi$
$11$	15.6847	−	2.76563i	1.42588	−	0.251421i	0.832734	+	0.553673i	$0.186774\pi$
$12$	−3.61939	−	11.4412i	−0.301616	−	0.953430i
$13$	13.1438	−	4.78396i	1.01106	−	0.367997i	0.217222	−	0.976122i	$-0.430301\pi$
$13$	13.1438	−	4.78396i	1.01106	−	0.367997i	0.793841	+	0.608126i	$0.208078\pi$
$14$	2.12495	−	6.95433i	0.151782	−	0.496738i
$15$	5.80079	+	9.45250i	0.386719	+	0.630167i
$16$	−10.7136	−	11.8835i	−0.669601	−	0.742721i
$17$	4.98573	−	8.63554i	0.293278	−	0.507973i	−0.681305	−	0.732000i	$-0.738587\pi$
$17$	4.98573	−	8.63554i	0.293278	−	0.507973i	0.974583	+	0.224027i	$0.0719204\pi$
$18$	−16.1670	+	7.91386i	−0.898165	+	0.439659i
$19$	−14.6667	+	8.46782i	−0.771931	+	0.445675i	−0.833563	−	0.552424i	$-0.813703\pi$
$19$	−14.6667	+	8.46782i	−0.771931	+	0.445675i	0.0616321	+	0.998099i	$0.480369\pi$
$20$	12.2619	+	8.26508i	0.613093	+	0.413254i
$21$	−10.7888	−	1.60537i	−0.513753	−	0.0764460i
$22$	−21.7276	−	23.2926i	−0.987618	−	1.05875i
$23$	0.374408	−	0.446202i	0.0162786	−	0.0194001i	−0.757844	−	0.652436i	$-0.773747\pi$
$23$	0.374408	−	0.446202i	0.0162786	−	0.0194001i	0.774122	+	0.633036i	$0.218192\pi$
$24$	−15.2453	+	18.5360i	−0.635219	+	0.772332i
$25$	10.6500	+	3.87627i	0.425999	+	0.155051i
$26$	−22.3443	−	16.8321i	−0.859394	−	0.647387i
$27$	15.3355	+	22.2221i	0.567982	+	0.823041i
$28$	−13.9788	+	4.01315i	−0.499243	+	0.143327i
$29$	16.6023	+	6.04274i	0.572493	+	0.208370i	0.612012	−	0.790848i	$-0.290360\pi$
$29$	16.6023	+	6.04274i	0.572493	+	0.208370i	−0.0395190	+	0.999219i	$0.512583\pi$
$30$	9.53322	−	20.0278i	0.317774	−	0.667594i
$31$	18.3535	−	21.8729i	0.592050	−	0.705578i	−0.383949	−	0.923354i	$-0.625436\pi$
$31$	18.3535	−	21.8729i	0.592050	−	0.705578i	0.975999	+	0.217777i	$0.0698805\pi$
$32$	−8.25774	+	30.9162i	−0.258054	+	0.966130i
$33$	−29.7199	+	37.4119i	−0.900602	+	1.13369i
$34$	−19.9154	+	1.04689i	−0.585748	+	0.0307907i
$35$	11.6404	−	6.72059i	0.332583	−	0.192017i
$36$	30.8875	+	18.4922i	0.857986	+	0.513673i
$37$	−31.7620	+	55.0133i	−0.858431	+	1.48685i	0.0149934	+	0.999888i	$0.495227\pi$
$37$	−31.7620	+	55.0133i	−0.858431	+	1.48685i	−0.873425	+	0.486959i	$0.838106\pi$
$38$	30.1820	+	15.3725i	0.794262	+	0.404538i
$39$	−19.9990	+	36.8897i	−0.512796	+	0.945891i
$40$	0.502105	−	29.5704i	0.0125526	−	0.739259i
$41$	59.2116	−	21.5512i	1.44418	−	0.525640i	0.503224	−	0.864156i	$-0.332147\pi$
$41$	59.2116	−	21.5512i	1.44418	−	0.525640i	0.940961	+	0.338516i	$0.109925\pi$
$42$	9.06241	+	19.8438i	0.215772	+	0.472471i
$43$	−1.70662	+	0.300923i	−0.0396888	+	0.00699821i	−0.193457	−	0.981109i	$-0.561970\pi$
$43$	−1.70662	+	0.300923i	−0.0396888	+	0.00699821i	0.153769	+	0.988107i	$0.450859\pi$
$44$	−15.3924	+	61.8191i	−0.349828	+	1.40498i
$45$	−31.8300	−	9.68705i	−0.707334	−	0.215268i
$46$	−1.15629	−	0.141789i	−0.0251367	−	0.00308236i
$47$	−51.7208	−	61.6385i	−1.10044	−	1.31146i	−0.946257	−	0.323415i	$-0.895169\pi$
$47$	−51.7208	−	61.6385i	−1.10044	−	1.31146i	−0.154185	−	0.988042i	$-0.549275\pi$
$48$	47.6983	+	5.37314i	0.993715	+	0.111940i
$49$	6.21322	−	35.2369i	0.126800	−	0.719120i
$50$	−5.10244	−	22.0851i	−0.102049	−	0.441703i
$51$	5.98266	+	29.3100i	0.117307	+	0.574707i
$52$	−3.88516	+	55.8143i	−0.0747147	+	1.07335i
$53$	−66.4040			−1.25290			−0.626452	−	0.779460i	$-0.715494\pi$
$53$	−66.4040			−1.25290			−0.626452	+	0.779460i	$0.715494\pi$
$54$	20.5615	−	49.9322i	0.380769	−	0.924670i
$55$		−	58.8781i		−	1.07051i
$56$	21.9612	+	19.0723i	0.392165	+	0.340577i
$57$	16.0905	−	48.1917i	0.282290	−	0.845468i
$58$	−7.95423	−	34.4287i	−0.137142	−	0.593598i
$59$	−65.4349	−	11.5379i	−1.10907	−	0.195558i	−0.411031	−	0.911622i	$-0.634831\pi$
$59$	−65.4349	−	11.5379i	−1.10907	−	0.195558i	−0.698035	+	0.716063i	$0.745942\pi$
$60$	−43.9769	+	5.83236i	−0.732948	+	0.0972060i
$61$	5.43023	−	4.55650i	0.0890201	−	0.0746967i	−0.597192	−	0.802099i	$-0.703717\pi$
$61$	5.43023	−	4.55650i	0.0890201	−	0.0746967i	0.686212	+	0.727402i	$0.259272\pi$
$62$	−56.6815	−	6.95051i	−0.914218	−	0.112105i
$63$	27.4209	−	17.8571i	0.435252	−	0.283446i
$64$	60.8488	−	19.8349i	0.950763	−	0.309920i
$65$	−8.97915	−	50.9233i	−0.138141	−	0.783435i
$66$	95.1272	+	9.08330i	1.44132	+	0.137626i
$67$	12.7838	+	35.1231i	0.190803	+	0.524226i	0.997798	−	0.0663325i	$-0.0211298\pi$
$67$	12.7838	+	35.1231i	0.190803	+	0.524226i	−0.806995	+	0.590558i	$0.798908\pi$
$68$	23.4545	+	32.2609i	0.344920	+	0.474425i
$69$	0.0468560	+	1.74680i	0.000679073	+	0.0253159i
$70$	−23.9543	−	12.2005i	−0.342204	−	0.174293i
$71$	−12.7937	−	7.38644i	−0.180193	−	0.104034i	0.407190	−	0.913343i	$-0.366509\pi$
$71$	−12.7937	−	7.38644i	−0.180193	−	0.104034i	−0.587383	+	0.809309i	$0.699842\pi$
$72$	−2.63869	−	71.9516i	−0.0366485	−	0.999328i
$73$	66.1544	+	114.583i	0.906224	+	1.56963i	0.819265	+	0.573415i	$0.194382\pi$
$73$	66.1544	+	114.583i	0.906224	+	1.56963i	0.0869593	+	0.996212i	$0.472285\pi$
$74$	126.873	−	6.66926i	1.71450	−	0.0901251i
$75$	−31.6266	+	12.4813i	−0.421688	+	0.166418i
$76$	−7.10235	−	67.3692i	−0.0934520	−	0.886437i
$77$	44.3594	+	37.2220i	0.576097	+	0.483403i
$78$	83.6601	−	6.65120i	1.07257	−	0.0852718i
$79$	24.4484	−	67.1713i	0.309473	−	0.850270i	−0.683287	−	0.730150i	$-0.739450\pi$
$79$	24.4484	−	67.1713i	0.309473	−	0.850270i	0.992759	−	0.120119i	$-0.0383277\pi$
$80$	−50.1416	+	31.3761i	−0.626770	+	0.392201i
$81$	−78.6437	−	19.3952i	−0.970910	−	0.239446i
$82$	−100.659	−	75.8267i	−1.22754	−	0.924716i
$83$	−8.25600	+	22.6832i	−0.0994699	+	0.273291i	−0.979439	−	0.201739i	$-0.935341\pi$
$83$	−8.25600	+	22.6832i	−0.0994699	+	0.273291i	0.879969	+	0.475030i	$0.157563\pi$
$84$	23.4075	−	36.8198i	0.278660	−	0.438331i
$85$	−28.2385	−	23.6950i	−0.332218	−	0.278764i
$86$	2.36413	+	2.53442i	0.0274899	+	0.0294700i
$87$	−49.3029	+	19.4572i	−0.566700	+	0.223647i
$88$	120.452	−	41.5389i	1.36877	−	0.472033i
$89$	−29.6464	−	51.3491i	−0.333106	−	0.576957i	0.650013	−	0.759923i	$-0.274763\pi$
$89$	−29.6464	−	51.3491i	−0.333106	−	0.576957i	−0.983119	+	0.182966i	$0.941430\pi$
$90$	18.4334	+	63.9388i	0.204815	+	0.710431i
$91$	44.0427	+	25.4281i	0.483986	+	0.279429i
$92$	1.02202	+	2.09378i	0.0111090	+	0.0227584i
$93$	2.29689	+	85.6284i	0.0246978	+	0.920735i
$94$	−47.0260	+	153.902i	−0.500277	+	1.63726i
$95$	21.4132	+	58.8324i	0.225403	+	0.619289i
$96$	−42.9577	−	85.8524i	−0.447476	−	0.894296i
$97$	13.3273	+	75.5830i	0.137395	+	0.779206i	0.973162	+	0.230122i	$0.0739124\pi$
$97$	13.3273	+	75.5830i	0.137395	+	0.779206i	−0.835767	+	0.549085i	$0.814976\pi$
$98$	−65.8678	+	27.9715i	−0.672120	+	0.285424i
$99$	−7.68436	−	143.134i	−0.0776198	−	1.44580i
$100$	−31.4812	+	32.6204i	−0.314812	+	0.326204i
$101$	64.1923	−	53.8638i	0.635568	−	0.533305i	−0.267086	−	0.963673i	$-0.586061\pi$
$101$	64.1923	−	53.8638i	0.635568	−	0.533305i	0.902653	+	0.430368i	$0.141616\pi$
$102$	42.6395	−	41.9685i	0.418035	−	0.411456i
$103$	165.931	+	29.2582i	1.61098	+	0.284060i	0.905398	−	0.424564i	$-0.139573\pi$
$103$	165.931	+	29.2582i	1.61098	+	0.284060i	0.705586	+	0.708624i	$0.250684\pi$
$104$	97.8431	−	54.2961i	0.940799	−	0.522078i
$105$	−12.7705	+	38.2479i	−0.121623	+	0.364266i
$106$	72.3500	+	111.371i	0.682547	+	1.05067i
$107$			19.6793i			0.183919i	0.995763	+	0.0919593i	$0.0293130\pi$
$107$			19.6793i			0.183919i	−0.995763	+	0.0919593i	$0.970687\pi$
$108$	−106.147	+	19.9181i	−0.982846	+	0.184427i
$109$	−98.5660			−0.904275			−0.452137	−	0.891948i	$-0.649338\pi$
$109$	−98.5660			−0.904275			−0.452137	+	0.891948i	$0.649338\pi$
$110$	−98.7485	+	64.1503i	−0.897714	+	0.583184i
$111$	−38.1130	−	186.722i	−0.343360	−	1.68218i
$112$	8.05975	−	57.6128i	0.0719621	−	0.514400i
$113$	−29.2796	+	166.053i	−0.259112	+	1.46950i	0.526182	+	0.850372i	$0.323623\pi$
$113$	−29.2796	+	166.053i	−0.259112	+	1.46950i	−0.785294	+	0.619123i	$0.787488\pi$
$114$	−98.3569	+	25.5204i	−0.862780	+	0.223863i
$115$	−1.38412	−	1.64953i	−0.0120358	−	0.0143437i
$116$	−49.0762	+	50.8521i	−0.423071	+	0.438381i
$117$	−28.4746	−	122.623i	−0.243373	−	1.04806i
$118$	51.9431	+	122.316i	0.440196	+	1.03658i
$119$	35.7041	−	6.29560i	0.300035	−	0.0529042i
$120$	57.6966	+	67.4020i	0.480805	+	0.561684i
$121$	124.658	−	45.3718i	1.03023	−	0.374973i
$122$	−13.5585	−	4.14290i	−0.111135	−	0.0339582i
$123$	−90.0937	+	166.185i	−0.732469	+	1.35109i
$124$	50.0998	+	102.637i	0.404031	+	0.827721i
$125$	67.1593	−	116.323i	0.537274	−	0.930586i
$126$	−59.8256	−	26.5334i	−0.474806	−	0.210582i
$127$	−174.605	+	100.808i	−1.37484	+	0.793765i	−0.991533	−	0.129856i	$-0.958549\pi$
$127$	−174.605	+	100.808i	−1.37484	+	0.793765i	−0.383308	+	0.923621i	$0.625215\pi$
$128$	−99.5639	−	80.4427i	−0.777843	−	0.628459i
$129$	3.23376	−	4.07072i	0.0250679	−	0.0315559i
$130$	−75.6237	+	70.5427i	−0.581721	+	0.542636i
$131$	−143.553	+	171.080i	−1.09582	+	1.30595i	−0.147355	+	0.989084i	$0.547076\pi$
$131$	−143.553	+	171.080i	−1.09582	+	1.30595i	−0.948469	+	0.316869i	$0.897369\pi$
$132$	−88.4110	−	169.441i	−0.669780	−	1.28364i
$133$	−57.8622	−	21.0601i	−0.435054	−	0.158347i
$134$	44.9789	−	59.7087i	0.335664	−	0.445587i
$135$	90.7479	−	41.5660i	0.672207	−	0.307896i
$136$	28.5523	−	74.4869i	0.209943	−	0.547698i
$137$	−186.707	−	67.9558i	−1.36282	−	0.496027i	−0.445898	−	0.895084i	$-0.647116\pi$
$137$	−186.707	−	67.9558i	−1.36282	−	0.496027i	−0.916926	+	0.399056i	$0.869338\pi$
$138$	2.87862	−	1.98180i	0.0208596	−	0.0143608i
$139$	−89.3311	+	106.461i	−0.642670	+	0.765904i	−0.984789	−	0.173753i	$-0.944411\pi$
$139$	−89.3311	+	106.461i	−0.642670	+	0.765904i	0.342120	+	0.939656i	$0.388855\pi$
$140$	5.63687	+	53.4684i	0.0402633	+	0.381917i
$141$	238.761	+	35.5275i	1.69334	+	0.251968i
$142$	1.55098	+	29.5050i	0.0109224	+	0.207782i
$143$	192.926	−	111.386i	1.34913	−	0.778922i
$144$	−117.800	+	82.8200i	−0.818056	+	0.575139i
$145$	32.6574	−	56.5643i	0.225224	−	0.390099i
$146$	120.097	−	235.795i	0.822579	−	1.61503i
$147$	56.1441	+	91.4879i	0.381933	+	0.622366i
$148$	−149.419	−	205.520i	−1.00959	−	1.38865i
$149$	1.60561	−	0.584395i	0.0107759	−	0.00392211i	−0.336627	−	0.941638i	$-0.609286\pi$
$149$	1.60561	−	0.584395i	0.0107759	−	0.00392211i	0.347402	+	0.937716i	$0.387064\pi$
$150$	55.3919	+	39.4441i	0.369279	+	0.262961i
$151$	110.653	−	19.5112i	0.732803	−	0.129213i	0.205220	−	0.978716i	$-0.434209\pi$
$151$	110.653	−	19.5112i	0.732803	−	0.129213i	0.527584	+	0.849503i	$0.323098\pi$
$152$	−105.251	+	85.3135i	−0.692442	+	0.561273i
$153$	−71.7409	−	53.9174i	−0.468895	−	0.352401i
$154$	14.0960	−	114.953i	0.0915326	−	0.746450i
$155$	−67.8499	−	80.8604i	−0.437741	−	0.521680i
$156$	−102.307	−	133.065i	−0.655811	−	0.852983i
$157$	0.528130	−	2.99517i	0.00336389	−	0.0190775i	−0.983080	−	0.183179i	$-0.941361\pi$
$157$	0.528130	−	2.99517i	0.00336389	−	0.0190775i	0.986443	+	0.164101i	$0.0524724\pi$
$158$	−139.295	+	32.1820i	−0.881615	+	0.203684i
$159$	149.117	−	132.097i	0.937841	−	0.830798i
$160$	107.254	+	49.9102i	0.670340	+	0.311939i
$161$	2.11780			0.0131540
$162$	53.1568	+	153.031i	0.328128	+	0.944633i
$163$			39.7924i			0.244125i	0.992522	+	0.122063i	$0.0389509\pi$
$163$			39.7924i			0.244125i	−0.992522	+	0.122063i	$0.961049\pi$
$164$	−17.5023	+	251.438i	−0.106721	+	1.53316i
$165$	117.126	+	132.217i	0.709853	+	0.801313i
$166$	47.0388	−	10.8676i	0.283366	−	0.0654675i
$167$	19.4582	+	3.43101i	0.116516	+	0.0205449i	0.231602	−	0.972811i	$-0.425603\pi$
$167$	19.4582	+	3.43101i	0.116516	+	0.0205449i	−0.115086	+	0.993356i	$0.536714\pi$
$168$	−87.2565	+	0.858560i	−0.519384	+	0.00511048i
$169$	20.4120	−	17.1277i	0.120781	−	0.101347i
$170$	−8.97331	+	73.1775i	−0.0527842	+	0.430456i
$171$	59.7344	+	140.228i	0.349324	+	0.820046i
$172$	1.67482	−	6.72641i	0.00973733	−	0.0391070i
$173$	23.9690	+	135.935i	0.138549	+	0.785752i	0.972322	+	0.233645i	$0.0750652\pi$
$173$	23.9690	+	135.935i	0.138549	+	0.785752i	−0.833773	+	0.552108i	$0.813824\pi$
$174$	86.3507	+	61.4897i	0.496269	+	0.353389i
$175$	14.0936	+	38.7218i	0.0805348	+	0.221268i
$176$	−200.905	−	156.760i	−1.14151	−	0.890680i
$177$	169.893	−	104.260i	0.959847	−	0.589037i
$178$	−53.8201	+	105.669i	−0.302360	+	0.593647i
$179$	159.768	+	92.2423i	0.892560	+	0.515320i	0.874779	−	0.484522i	$-0.161006\pi$
$179$	159.768	+	92.2423i	0.892560	+	0.515320i	0.0177813	+	0.999842i	$0.494340\pi$
$180$	87.1522	−	100.580i	0.484179	−	0.558778i
$181$	−46.0525	−	79.7652i	−0.254434	−	0.440692i	0.710308	−	0.703891i	$-0.248556\pi$
$181$	−46.0525	−	79.7652i	−0.254434	−	0.440692i	−0.964742	+	0.263199i	$0.915222\pi$
$182$	−5.33929	−	101.572i	−0.0293367	−	0.558088i
$183$	−3.12990	+	21.0344i	−0.0171033	+	0.114942i
$184$	2.39808	−	3.99537i	0.0130330	−	0.0217139i
$185$	179.896	+	150.950i	0.972409	+	0.815948i
$186$	141.111	−	97.1481i	0.758659	−	0.522302i
$187$	54.3169	−	149.235i	0.290465	−	0.798046i
$188$	309.357	−	88.8127i	1.64552	−	0.472408i
$189$	−26.0534	+	94.6480i	−0.137848	+	0.500783i
$190$	75.3412	−	100.014i	0.396533	−	0.526390i
$191$	−20.4959	+	56.3120i	−0.107308	+	0.294827i	−0.981712	−	0.190372i	$-0.939031\pi$
$191$	−20.4959	+	56.3120i	−0.107308	+	0.294827i	0.874404	+	0.485199i	$0.161253\pi$
$192$	−97.1846	+	165.587i	−0.506170	+	0.862434i
$193$	−215.518	−	180.841i	−1.11667	−	0.937000i	−0.118241	−	0.992985i	$-0.537726\pi$
$193$	−215.518	−	180.841i	−1.11667	−	0.937000i	−0.998432	+	0.0559849i	$0.982170\pi$
$194$	112.245	−	104.703i	0.578581	−	0.539707i
$195$	121.465	+	96.4911i	0.622897	+	0.494826i
$196$	118.679	+	79.9952i	0.605504	+	0.408139i
$197$	15.1511	+	26.2425i	0.0769093	+	0.133211i	0.901915	−	0.431914i	$-0.142161\pi$
$197$	15.1511	+	26.2425i	0.0769093	+	0.133211i	−0.825006	+	0.565124i	$0.808828\pi$
$198$	−231.687	+	168.838i	−1.17014	+	0.852719i
$199$	−205.095	−	118.412i	−1.03063	−	0.595033i	−0.113463	−	0.993542i	$-0.536194\pi$
$199$	−205.095	−	118.412i	−1.03063	−	0.595033i	−0.917164	+	0.398510i	$0.869528\pi$
$200$	89.0100	+	17.2579i	0.445050	+	0.0862896i
$201$	−98.5774	−	53.4418i	−0.490435	−	0.265880i
$202$	−160.279	−	48.9745i	−0.793460	−	0.242448i
$203$	21.9706	+	60.3637i	0.108230	+	0.297358i
$204$	−116.846	−	25.7872i	−0.572774	−	0.126408i
$205$	−40.4502	−	229.404i	−0.197318	−	1.11905i
$206$	−131.719	−	310.173i	−0.639410	−	1.50569i
$207$	−3.58011	−	3.82939i	−0.0172952	−	0.0184995i
$208$	−197.668	−	104.941i	−0.950327	−	0.504526i
$209$	−206.624	+	173.378i	−0.988629	+	0.829559i
$210$	78.0621	−	20.2545i	0.371724	−	0.0964502i
$211$	88.9172	+	15.6785i	0.421408	+	0.0743057i	0.380331	−	0.924850i	$-0.375810\pi$
$211$	88.9172	+	15.6785i	0.421408	+	0.0743057i	0.0410771	+	0.999156i	$0.486921\pi$
$212$	107.959	−	242.686i	0.509240	−	1.14475i
$213$	43.4233	−	8.86341i	0.203865	−	0.0416122i
$214$	33.0055	−	21.4415i	0.154231	−	0.100194i
$215$			6.40641i			0.0297972i
$216$	149.058	+	156.325i	0.690085	+	0.723729i
$217$	103.815			0.478410
$218$	107.392	+	165.312i	0.492623	+	0.758311i
$219$	−376.495	−	125.707i	−1.71915	−	0.574002i
$220$	215.182	+	95.7234i	0.978098	+	0.435106i
$221$	24.2195	−	137.355i	0.109590	−	0.621518i
$222$	−271.638	+	267.363i	−1.22359	+	1.20434i
$223$	−217.859	−	259.634i	−0.976944	−	1.16428i	−0.986407	−	0.164322i	$-0.947456\pi$
$223$	−217.859	−	259.634i	−0.976944	−	1.16428i	0.00946232	−	0.999955i	$-0.496988\pi$
$224$	−105.408	+	49.2541i	−0.470571	+	0.219884i
$225$	46.1916	−	90.9426i	0.205296	−	0.404189i
$226$	310.400	−	131.815i	1.37345	−	0.583253i
$227$	234.651	−	41.3753i	1.03371	−	0.182270i	0.369042	−	0.929413i	$-0.379686\pi$
$227$	234.651	−	41.3753i	1.03371	−	0.182270i	0.664664	+	0.747143i	$0.268575\pi$
$228$	149.966	+	137.156i	0.657746	+	0.601559i
$229$	153.568	−	55.8943i	0.670604	−	0.244080i	0.0157961	−	0.999875i	$-0.494972\pi$
$229$	153.568	−	55.8943i	0.670604	−	0.244080i	0.654808	+	0.755795i	$0.272750\pi$
$230$	−1.25848	+	4.11864i	−0.00547166	+	0.0179071i
$231$	−173.659	+	4.65822i	−0.751770	+	0.0201655i
$232$	138.758	+	26.9035i	0.598096	+	0.115963i
$233$	−72.9459	+	126.346i	−0.313072	+	0.542257i	−0.979026	−	0.203736i	$-0.934692\pi$
$233$	−72.9459	+	126.346i	−0.313072	+	0.542257i	0.665953	+	0.745993i	$0.268025\pi$
$234$	−174.636	+	181.360i	−0.746307	+	0.775044i
$235$	−257.607	+	148.730i	−1.09620	+	0.632892i
$236$	148.551	−	220.386i	0.629454	−	0.933841i
$237$	78.7221	+	199.475i	0.332161	+	0.841666i
$238$	−49.4600	−	53.0225i	−0.207815	−	0.222784i
$239$	93.1529	−	111.015i	0.389761	−	0.464499i	−0.535109	−	0.844783i	$-0.679729\pi$
$239$	93.1529	−	111.015i	0.389761	−	0.464499i	0.924870	+	0.380284i	$0.124174\pi$
$240$	50.1816	−	170.204i	0.209090	−	0.709185i
$241$	−77.0503	−	28.0440i	−0.319711	−	0.116365i	0.177180	−	0.984179i	$-0.443303\pi$
$241$	−77.0503	−	28.0440i	−0.319711	−	0.116365i	−0.496890	+	0.867813i	$0.665525\pi$
$242$	−211.916	−	159.638i	−0.875687	−	0.659660i
$243$	215.185	−	112.892i	0.885534	−	0.464574i
$244$	7.82422	+	27.2537i	0.0320665	+	0.111696i
$245$	−124.297	−	45.2405i	−0.507336	−	0.184655i
$246$	376.881	−	29.9630i	1.53203	−	0.121801i
$247$	−152.267	+	181.464i	−0.616464	+	0.734673i
$248$	117.554	−	195.854i	0.474009	−	0.789733i
$249$	−26.5838	−	67.3610i	−0.106762	−	0.270526i
$250$	−268.267	+	14.1019i	−1.07307	+	0.0564074i
$251$	−41.5537	+	23.9911i	−0.165553	+	0.0955819i	−0.580487	−	0.814269i	$-0.697138\pi$
$251$	−41.5537	+	23.9911i	−0.165553	+	0.0955819i	0.414934	+	0.909851i	$0.363805\pi$
$252$	20.6817	+	129.247i	0.0820700	+	0.512884i
$253$	4.63844	−	8.03401i	0.0183337	−	0.0317550i
$254$	359.312	+	183.007i	1.41461	+	0.720499i
$255$	110.549	−	2.96535i	0.433524	−	0.0116288i
$256$	−26.4368	+	254.631i	−0.103269	+	0.994653i
$257$	−278.499	+	101.365i	−1.08365	+	0.394417i	−0.821266	−	0.570546i	$-0.806732\pi$
$257$	−278.499	+	101.365i	−1.08365	+	0.394417i	−0.262387	+	0.964963i	$0.584510\pi$
$258$	−10.3506	−	0.988335i	−0.0401186	−	0.00383076i
$259$	−227.456	+	40.1065i	−0.878207	+	0.154852i
$260$	200.707	+	49.9745i	0.771951	+	0.192209i
$261$	72.0084	−	141.771i	0.275894	−	0.543184i
$262$	443.337	+	54.3637i	1.69213	+	0.207495i
$263$	−332.363	−	396.095i	−1.26374	−	1.50606i	−0.772466	−	0.635056i	$-0.780977\pi$
$263$	−332.363	−	396.095i	−1.26374	−	1.50606i	−0.491270	−	0.871007i	$-0.663467\pi$
$264$	−187.854	+	332.894i	−0.711566	+	1.26096i
$265$	−42.6279	+	241.755i	−0.160860	+	0.912282i
$266$	27.7220	+	119.991i	0.104218	+	0.451092i
$267$	168.722	+	56.3341i	0.631919	+	0.210989i
$268$	−149.148	−	10.3820i	−0.556523	−	0.0387388i
$269$	128.175			0.476485			0.238243	−	0.971206i	$-0.423429\pi$
$269$	128.175			0.476485			0.238243	+	0.971206i	$0.423429\pi$
$270$	−168.587	−	106.912i	−0.624396	−	0.395969i
$271$		−	105.053i		−	0.387649i	−0.981036	−	0.193824i	$-0.937911\pi$
$271$		−	105.053i		−	0.387649i	0.981036	−	0.193824i	$-0.0620892\pi$
$272$	−156.036	+	33.2698i	−0.573662	+	0.122315i
$273$	−149.486	+	30.5126i	−0.547568	+	0.111768i
$274$	89.4520	+	387.180i	0.326467	+	1.41306i
$275$	177.762	+	31.3442i	0.646406	+	0.113979i
$276$	−6.46019	−	2.66868i	−0.0234065	−	0.00966912i
$277$	−317.904	+	266.753i	−1.14767	+	0.963007i	−0.999662	−	0.0259792i	$-0.991730\pi$
$277$	−317.904	+	266.753i	−1.14767	+	0.963007i	−0.148005	+	0.988987i	$0.547285\pi$
$278$	275.883	+	33.8298i	0.992383	+	0.121690i
$279$	−175.498	−	187.718i	−0.629024	−	0.672824i
$280$	83.5339	−	67.7101i	0.298335	−	0.241822i
$281$	69.9019	+	396.433i	0.248761	+	1.41079i	0.811593	+	0.584223i	$0.198601\pi$
$281$	69.9019	+	396.433i	0.248761	+	1.41079i	−0.562832	+	0.826571i	$0.690288\pi$
$282$	−200.555	−	439.151i	−0.711188	−	1.55727i
$283$	−88.9908	−	244.500i	−0.314455	−	0.863958i	−0.991743	−	0.128240i	$-0.959067\pi$
$283$	−88.9908	−	244.500i	−0.314455	−	0.863958i	0.677288	−	0.735718i	$-0.263155\pi$
$284$	47.7951	−	34.7483i	0.168292	−	0.122353i
$285$	−165.120	−	89.5168i	−0.579370	−	0.314094i
$286$	−397.014	−	202.210i	−1.38816	−	0.707026i
$287$	198.408	+	114.551i	0.691317	+	0.399132i
$288$	267.251	+	107.335i	0.927956	+	0.372690i
$289$	94.7849	+	164.172i	0.327976	+	0.568070i
$290$	−130.450	+	6.85728i	−0.449826	+	0.0236458i
$291$	−180.285	−	143.217i	−0.619534	−	0.492155i
$292$	−526.318	+	55.4868i	−1.80246	+	0.190023i
$293$	−150.425	−	126.221i	−0.513394	−	0.430789i	0.348927	−	0.937150i	$-0.386546\pi$
$293$	−150.425	−	126.221i	−0.513394	−	0.430789i	−0.862322	+	0.506361i	$0.830990\pi$
$294$	92.2691	−	193.843i	0.313841	−	0.659330i
$295$	−84.0116	+	230.820i	−0.284785	+	0.782440i
$296$	−181.894	+	474.524i	−0.614507	+	1.60312i
$297$	301.991	+	306.135i	1.01680	+	1.03076i
$298$	−2.72951	−	2.05616i	−0.00915943	−	0.00689986i
$299$	2.78653	−	7.65594i	0.00931951	−	0.0256051i
$300$	5.80265	−	135.878i	0.0193422	−	0.452925i
$301$	−4.82666	−	4.05005i	−0.0160354	−	0.0134553i
$302$	−153.285	−	164.326i	−0.507567	−	0.544126i
$303$	−36.9995	+	248.654i	−0.122110	+	0.820639i
$304$	257.761	+	83.5712i	0.847898	+	0.274905i
$305$	−13.1028	−	22.6947i	−0.0429599	−	0.0744088i
$306$	−12.2637	+	179.067i	−0.0400773	+	0.585186i
$307$	170.588	+	98.4890i	0.555661	+	0.320811i	0.751402	−	0.659845i	$-0.229378\pi$
$307$	170.588	+	98.4890i	0.555661	+	0.320811i	−0.195741	+	0.980656i	$0.562711\pi$
$308$	−208.154	+	101.605i	−0.675825	+	0.329887i
$309$	−430.818	+	264.384i	−1.39423	+	0.855611i
$310$	−61.6911	+	201.897i	−0.199003	+	0.651280i
$311$	9.51663	+	26.1467i	0.0306001	+	0.0840731i	0.954052	−	0.299641i	$-0.0968670\pi$
$311$	9.51663	+	26.1467i	0.0306001	+	0.0840731i	−0.923452	+	0.383714i	$0.874645\pi$
$312$	−111.706	+	316.566i	−0.358031	+	1.01463i
$313$	−56.7402	−	321.790i	−0.181279	−	1.02808i	−0.930644	−	0.365926i	$-0.880752\pi$
$313$	−56.7402	−	321.790i	−0.181279	−	1.02808i	0.749365	−	0.662157i	$-0.230359\pi$
$314$	−5.59883	+	2.37761i	−0.0178307	+	0.00757201i
$315$	−47.4089	−	111.294i	−0.150505	−	0.353313i
$316$	205.743	+	198.558i	0.651085	+	0.628347i
$317$	−75.2721	+	63.1608i	−0.237452	+	0.199245i	−0.753746	−	0.657165i	$-0.771755\pi$
$317$	−75.2721	+	63.1608i	−0.237452	+	0.199245i	0.516295	+	0.856411i	$0.327311\pi$
$318$	−384.018	−	106.168i	−1.20760	−	0.333863i
$319$	277.114	+	48.8627i	0.868696	+	0.153174i
$320$	−33.1505	−	234.263i	−0.103595	−	0.732072i
$321$	−39.1479	−	44.1918i	−0.121956	−	0.137669i
$322$	−2.30744	−	3.55191i	−0.00716595	−	0.0110308i
$323$			168.873i			0.522827i
$324$	198.741	−	255.886i	0.613400	−	0.789773i
$325$	158.525			0.487769
$326$	66.7386	−	43.3556i	0.204720	−	0.132993i
$327$	221.340	−	196.077i	0.676880	−	0.599622i
$328$	440.774	−	244.598i	1.34382	−	0.745727i
$329$	50.8014	−	288.109i	0.154412	−	0.875712i
$330$	94.1360	−	340.495i	0.285260	−	1.03180i
$331$	227.814	+	271.498i	0.688259	+	0.820235i	0.991144	−	0.132792i	$-0.0423941\pi$
$331$	227.814	+	271.498i	0.688259	+	0.820235i	−0.302885	+	0.953027i	$0.597950\pi$
$332$	−69.4776	−	67.0513i	−0.209270	−	0.201962i
$333$	457.031	+	343.484i	1.37246	+	1.03148i
$334$	−15.4462	−	36.3729i	−0.0462461	−	0.108901i
$335$	136.078	−	23.9942i	0.406203	−	0.0716246i
$336$	96.5097	+	145.408i	0.287231	+	0.432763i
$337$	554.135	−	201.688i	1.64432	−	0.598482i	0.656530	−	0.754300i	$-0.272023\pi$
$337$	554.135	−	201.688i	1.64432	−	0.598482i	0.987786	+	0.155817i	$0.0498012\pi$
$338$	−50.9659	−	15.5730i	−0.150787	−	0.0460740i
$339$	−264.578	−	431.134i	−0.780465	−	1.27178i
$340$	132.508	−	64.6803i	0.389729	−	0.190236i
$341$	227.377	−	393.829i	0.666795	−	1.15492i
$342$	170.103	−	252.969i	0.497376	−	0.739676i
$343$	266.953	−	154.125i	0.778288	−	0.449345i
$344$	−13.1061	+	4.51976i	−0.0380992	+	0.0131388i
$345$	6.38958	+	0.950765i	0.0185205	+	0.00275584i
$346$	201.871	−	188.307i	0.583442	−	0.544241i
$347$	−173.802	+	207.129i	−0.500871	+	0.596915i	−0.955947	−	0.293538i	$-0.905167\pi$
$347$	−173.802	+	207.129i	−0.500871	+	0.596915i	0.455077	+	0.890452i	$0.349612\pi$
$348$	9.04578	−	211.821i	0.0259936	−	0.608680i
$349$	−484.371	−	176.297i	−1.38788	−	0.505148i	−0.463324	−	0.886189i	$-0.653343\pi$
$349$	−484.371	−	176.297i	−1.38788	−	0.505148i	−0.924558	+	0.381041i	$0.875566\pi$
$350$	49.5875	−	65.8265i	0.141678	−	0.188076i
$351$	307.877	+	218.719i	0.877141	+	0.623131i
$352$	−44.0173	+	507.748i	−0.125049	+	1.44247i
$353$	203.053	+	73.9054i	0.575222	+	0.209364i	0.613217	−	0.789914i	$-0.289875\pi$
$353$	203.053	+	73.9054i	0.575222	+	0.209364i	−0.0379952	+	0.999278i	$0.512097\pi$
$354$	−359.967	−	171.344i	−1.01685	−	0.484022i
$355$	−35.1045	+	41.8359i	−0.0988858	+	0.117847i
$356$	235.864	−	24.8658i	0.662540	−	0.0698479i
$357$	−67.6533	+	85.1633i	−0.189505	+	0.238553i
$358$	−19.3687	−	368.460i	−0.0541025	−	1.02922i
$359$	−220.356	+	127.223i	−0.613806	+	0.354381i	−0.774453	−	0.632631i	$-0.781975\pi$
$359$	−220.356	+	127.223i	−0.613806	+	0.354381i	0.160648	+	0.987012i	$0.448642\pi$
$360$	−263.646	−	36.5826i	−0.732349	−	0.101618i
$361$	−37.0922	+	64.2455i	−0.102748	+	0.177965i
$362$	−83.6036	+	164.146i	−0.230949	+	0.453441i
$363$	−189.674	+	349.868i	−0.522518	+	0.963823i
$364$	−164.536	+	119.622i	−0.452022	+	0.328632i
$365$	459.625	−	167.290i	1.25925	−	0.458328i
$366$	38.6884	−	17.6685i	0.105706	−	0.0482746i
$367$	558.823	−	98.5356i	1.52268	−	0.268489i	0.651194	−	0.758911i	$-0.274268\pi$
$367$	558.823	−	98.5356i	1.52268	−	0.268489i	0.871485	+	0.490422i	$0.163157\pi$
$368$	−9.31371	+	0.331147i	−0.0253090	+	0.000899856i
$369$	−128.275	−	552.407i	−0.347630	−	1.49704i
$370$	57.1651	−	466.182i	0.154500	−	1.25995i
$371$	−155.192	−	184.951i	−0.418307	−	0.498519i
$372$	−316.680	−	130.819i	−0.851290	−	0.351665i
$373$	−63.4862	+	360.048i	−0.170204	+	0.965277i	0.773330	+	0.634003i	$0.218589\pi$
$373$	−63.4862	+	360.048i	−0.170204	+	0.965277i	−0.943535	+	0.331274i	$0.892522\pi$
$374$	−309.472	+	71.4989i	−0.827466	+	0.191173i
$375$	80.5882	+	394.815i	0.214902	+	1.05284i
$376$	−486.012	−	422.079i	−1.29258	−	1.12255i
$377$	247.126			0.655506
$378$	187.127	−	59.4273i	0.495045	−	0.157215i
$379$			310.348i			0.818860i	0.912342	+	0.409430i	$0.134272\pi$
$379$			310.348i			0.818860i	−0.912342	+	0.409430i	$0.865728\pi$
$380$	−249.828	−	17.3902i	−0.657442	−	0.0457637i
$381$	191.556	−	573.715i	0.502770	−	1.50581i
$382$	116.776	−	26.9793i	0.305696	−	0.0706265i
$383$	−223.698	−	39.4441i	−0.584069	−	0.102987i	−0.126197	−	0.992005i	$-0.540277\pi$
$383$	−223.698	−	39.4441i	−0.584069	−	0.102987i	−0.457872	+	0.889018i	$0.651388\pi$
$384$	383.605	−	17.4195i	0.998971	−	0.0453634i
$385$	163.989	−	137.603i	0.425946	−	0.357411i
$386$	−68.4847	+	558.494i	−0.177422	+	1.44688i
$387$	0.836120	+	15.5741i	0.00216052	+	0.0402431i
$388$	−297.900	−	74.1747i	−0.767784	−	0.191172i
$389$	−54.4461	−	308.779i	−0.139964	−	0.793778i	−0.971273	−	0.237967i	$-0.923519\pi$
$389$	−54.4461	−	308.779i	−0.139964	−	0.793778i	0.831309	−	0.555811i	$-0.187592\pi$
$390$	29.4906	−	308.848i	0.0756170	−	0.791919i
$391$	−1.98650	−	5.45785i	−0.00508055	−	0.0139587i
$392$	4.85972	−	286.203i	0.0123973	−	0.730109i
$393$	−17.9652	−	669.745i	−0.0457131	−	1.70419i
$394$	27.5053	−	54.0034i	0.0698105	−	0.137064i
$395$	−228.854	−	132.129i	−0.579376	−	0.334503i
$396$	535.603	+	204.621i	1.35253	+	0.516720i
$397$	−70.7625	−	122.564i	−0.178243	−	0.308726i	0.763036	−	0.646356i	$-0.223708\pi$
$397$	−70.7625	−	122.564i	−0.178243	−	0.308726i	−0.941279	+	0.337630i	$0.890375\pi$
$398$	24.8636	+	472.993i	0.0624713	+	1.18842i
$399$	171.830	−	67.8123i	0.430652	−	0.169956i
$400$	−68.0358	−	168.088i	−0.170090	−	0.420220i
$401$	−289.868	−	243.229i	−0.722864	−	0.606555i	0.205312	−	0.978697i	$-0.434179\pi$
$401$	−289.868	−	243.229i	−0.722864	−	0.606555i	−0.928176	+	0.372142i	$0.878624\pi$
$402$	17.7735	+	223.558i	0.0442126	+	0.556115i
$403$	136.597	−	375.296i	0.338949	−	0.931255i
$404$	92.4925	+	322.175i	0.228942	+	0.797462i
$405$	−121.096	+	273.865i	−0.299004	+	0.676209i
$406$	77.3022	−	102.617i	0.190400	−	0.252752i
$407$	−346.030	+	950.709i	−0.850196	+	2.33589i
$408$	84.0593	+	224.067i	0.206028	+	0.549183i
$409$	250.395	+	210.106i	0.612212	+	0.513707i	0.895345	−	0.445374i	$-0.146929\pi$
$409$	250.395	+	210.106i	0.612212	+	0.513707i	−0.283133	+	0.959081i	$0.591374\pi$
$410$	−340.677	+	317.788i	−0.830921	+	0.775092i
$411$	554.453	−	218.813i	1.34903	−	0.532392i
$412$	−376.699	+	558.861i	−0.914318	+	1.35646i
$413$	−120.791	−	209.217i	−0.292473	−	0.506578i
$414$	−2.52186	+	10.1767i	−0.00609144	+	0.0245815i
$415$	77.2820	+	44.6188i	0.186222	+	0.107515i
$416$	39.3634	+	445.861i	0.0946236	+	1.07178i
$417$	−11.1795	−	416.774i	−0.0268094	−	0.999457i
$418$	515.909	+	157.640i	1.23423	+	0.377129i
$419$	−87.2276	−	239.656i	−0.208180	−	0.571971i	0.791027	−	0.611782i	$-0.209547\pi$
$419$	−87.2276	−	239.656i	−0.208180	−	0.571971i	−0.999207	+	0.0398104i	$0.987325\pi$
$420$	−119.022	−	108.855i	−0.283387	−	0.259179i
$421$	106.511	+	604.054i	0.252995	+	1.43481i	0.801167	+	0.598441i	$0.204213\pi$
$421$	106.511	+	604.054i	0.252995	+	1.43481i	−0.548172	+	0.836366i	$0.684676\pi$
$422$	−70.5837	−	166.211i	−0.167260	−	0.393866i
$423$	−606.836	+	395.185i	−1.43460	+	0.934244i
$424$	−524.652	+	83.3521i	−1.23739	+	0.196585i
$425$	86.5716	−	72.6422i	0.203698	−	0.170923i
$426$	−62.1770	−	63.1711i	−0.145955	−	0.148289i
$427$	25.3818	+	4.47550i	0.0594422	+	0.0104813i
$428$	−71.9219	−	31.9944i	−0.168042	−	0.0747533i
$429$	−211.655	+	633.914i	−0.493369	+	1.47765i
$430$	10.7446	−	6.98006i	0.0249875	−	0.0162327i
$431$		−	309.004i		−	0.716947i	−0.933540	−	0.358473i	$-0.883297\pi$
$431$		−	309.004i		−	0.716947i	0.933540	−	0.358473i	$-0.116703\pi$
$432$	99.7786	−	420.319i	0.230969	−	0.972961i
$433$	271.919			0.627989			0.313994	−	0.949425i	$-0.398333\pi$
$433$	271.919			0.627989			0.313994	+	0.949425i	$0.398333\pi$
$434$	−113.111	−	174.115i	−0.260624	−	0.401187i
$435$	39.1875	+	191.986i	0.0900861	+	0.441347i
$436$	160.248	−	360.229i	0.367540	−	0.826213i
$437$	−1.71297	+	9.71471i	−0.00391983	+	0.0222305i
$438$	199.376	+	768.408i	0.455197	+	1.75436i
$439$	−100.848	−	120.186i	−0.229723	−	0.273773i	0.638853	−	0.769328i	$-0.279409\pi$
$439$	−100.848	−	120.186i	−0.229723	−	0.273773i	−0.868576	+	0.495555i	$0.834965\pi$
$440$	−73.9055	−	465.191i	−0.167967	−	1.05725i
$441$	−308.073	−	93.7580i	−0.698579	−	0.212603i
$442$	−256.756	+	109.035i	−0.580897	+	0.246685i
$443$	254.933	−	44.9516i	0.575470	−	0.101471i	0.121664	−	0.992571i	$-0.461177\pi$
$443$	254.933	−	44.9516i	0.575470	−	0.101471i	0.453806	+	0.891100i	$0.350066\pi$
$444$	744.375	+	164.279i	1.67652	+	0.369998i
$445$	−205.976	+	74.9693i	−0.462869	+	0.168470i
$446$	−198.083	+	648.268i	−0.444133	+	1.45352i
$447$	−2.44303	+	4.50635i	−0.00546538	+	0.0100813i
$448$	197.454	+	123.122i	0.440745	+	0.274826i
$449$	−403.822	+	699.440i	−0.899381	+	1.55777i	−0.0710933	+	0.997470i	$0.522649\pi$
$449$	−403.822	+	699.440i	−0.899381	+	1.55777i	−0.828287	+	0.560303i	$0.810685\pi$
$450$	−202.854	+	21.6149i	−0.450786	+	0.0480330i
$451$	869.112	−	501.782i	1.92708	−	1.11260i
$452$	−559.271	−	376.975i	−1.23732	−	0.834016i
$453$	−209.670	+	263.936i	−0.462847	+	0.582640i
$454$	−325.056	−	348.469i	−0.715983	−	0.767554i
$455$	120.848	−	144.021i	0.265600	−	0.316530i
$456$	66.6384	−	400.955i	0.146137	−	0.879288i
$457$	514.385	+	187.221i	1.12557	+	0.409673i	0.836681	−	0.547690i	$-0.184493\pi$
$457$	514.385	+	187.221i	1.12557	+	0.409673i	0.288887	+	0.957363i	$0.406715\pi$
$458$	−261.064	−	196.661i	−0.570008	−	0.429390i
$459$	268.359	−	21.6369i	0.584660	−	0.0471392i
$460$	8.27882	−	2.37675i	0.0179974	−	0.00516685i
$461$	144.983	+	52.7695i	0.314497	+	0.114468i	0.494446	−	0.869208i	$-0.335371\pi$
$461$	144.983	+	52.7695i	0.314497	+	0.114468i	−0.179949	+	0.983676i	$0.557593\pi$
$462$	197.022	+	286.180i	0.426454	+	0.619437i
$463$	−40.7312	+	48.5415i	−0.0879723	+	0.104841i	−0.808235	−	0.588860i	$-0.799577\pi$
$463$	−40.7312	+	48.5415i	−0.0879723	+	0.104841i	0.720263	+	0.693702i	$0.244021\pi$
$464$	−106.062	−	262.034i	−0.228581	−	0.564728i
$465$	313.219	+	46.6067i	0.673589	+	0.100229i
$466$	291.381	−	15.3169i	0.625282	−	0.0328689i
$467$	−162.795	+	93.9898i	−0.348598	+	0.201263i	−0.664067	−	0.747673i	$-0.731171\pi$
$467$	−162.795	+	93.9898i	−0.348598	+	0.201263i	0.315470	+	0.948936i	$0.397838\pi$
$468$	494.445	+	95.2939i	1.05651	+	0.203619i
$469$	−67.9493	+	117.692i	−0.144881	+	0.250942i
$470$	530.119	+	270.003i	1.12791	+	0.574475i
$471$	4.77231	+	7.77657i	0.0101323	+	0.0165108i
$472$	−531.478	−	9.02450i	−1.12601	−	0.0191197i
$473$	−25.9355	+	9.43977i	−0.0548320	+	0.0199572i
$474$	248.782	−	349.367i	0.524856	−	0.737061i
$475$	−189.023	+	33.3299i	−0.397944	+	0.0701682i
$476$	−35.0389	+	140.723i	−0.0736111	+	0.295637i
$477$	−72.0770	+	593.273i	−0.151105	+	1.24376i
$478$	−287.685	−	35.2771i	−0.601852	−	0.0738015i
$479$	198.830	+	236.957i	0.415094	+	0.494690i	0.932561	−	0.361013i	$-0.117569\pi$
$479$	198.830	+	236.957i	0.415094	+	0.494690i	−0.517466	+	0.855704i	$0.673125\pi$
$480$	−340.137	+	101.282i	−0.708618	+	0.211004i
$481$	−154.292	+	875.033i	−0.320773	+	1.81919i
$482$	36.9151	+	159.781i	0.0765873	+	0.331497i
$483$	−4.75573	+	4.21292i	−0.00984623	+	0.00872241i
$484$	−36.8475	+	529.352i	−0.0761311	+	1.09370i
$485$	283.728			0.585006
$486$	−423.791	−	237.901i	−0.871999	−	0.489508i
$487$			396.572i			0.814316i	0.913358	+	0.407158i	$0.133480\pi$
$487$			396.572i			0.814316i	−0.913358	+	0.407158i	$0.866520\pi$
$488$	37.1843	−	42.8167i	0.0761973	−	0.0877391i
$489$	−79.1588	−	89.3579i	−0.161879	−	0.182736i
$490$	59.5513	+	257.759i	0.121533	+	0.526039i
$491$	−391.258	−	68.9894i	−0.796860	−	0.140508i	−0.239628	−	0.970865i	$-0.577025\pi$
$491$	−391.258	−	68.9894i	−0.796860	−	0.140508i	−0.557232	+	0.830357i	$0.688137\pi$
$492$	−460.881	−	599.446i	−0.936749	−	1.21839i
$493$	134.957	−	113.242i	0.273746	−	0.229701i
$494$	470.247	+	57.6635i	0.951917	+	0.116728i
$495$	−526.035	−	63.9082i	−1.06270	−	0.129107i
$496$	−456.560	+	16.2329i	−0.920485	+	0.0327276i
$497$	−9.32703	−	52.8962i	−0.0187667	−	0.106431i
$498$	−84.0115	+	117.978i	−0.168698	+	0.236904i
$499$	−254.967	−	700.517i	−0.510956	−	1.40384i	−0.880242	−	0.474525i	$-0.842620\pi$
$499$	−254.967	−	700.517i	−0.510956	−	1.40384i	0.369285	−	0.929316i	$-0.379603\pi$
$500$	315.940	+	434.564i	0.631879	+	0.869128i
$501$	−50.5206	+	31.0034i	−0.100840	+	0.0618830i
$502$	85.5117	+	43.5533i	0.170342	+	0.0867596i
$503$	−36.9239	−	21.3180i	−0.0734073	−	0.0423817i	0.462847	−	0.886438i	$-0.346828\pi$
$503$	−36.9239	−	21.3180i	−0.0734073	−	0.0423817i	−0.536254	+	0.844056i	$0.680161\pi$
$504$	194.235	−	175.507i	0.385387	−	0.348228i
$505$	−154.892	−	268.281i	−0.306717	−	0.531249i
$506$	−18.5282	+	0.973961i	−0.0366169	+	0.00192482i
$507$	−11.7652	+	79.0675i	−0.0232055	+	0.155952i
$508$	−84.5525	−	802.020i	−0.166442	−	1.57878i
$509$	−149.916	−	125.794i	−0.294530	−	0.247140i	0.483533	−	0.875326i	$-0.339353\pi$
$509$	−149.916	−	125.794i	−0.294530	−	0.247140i	−0.778063	+	0.628186i	$0.783798\pi$
$510$	−125.421	−	182.178i	−0.245923	−	0.357211i
$511$	−164.531	+	452.046i	−0.321979	+	0.884629i
$512$	455.864	−	233.093i	0.890359	−	0.455260i
$513$	−413.094	−	196.067i	−0.805251	−	0.382196i
$514$	473.443	+	356.647i	0.921095	+	0.693867i
$515$	213.038	−	585.318i	0.413667	−	1.13654i
$516$	9.61982	+	18.4365i	0.0186431	+	0.0357297i
$517$	−981.694	−	823.739i	−1.89883	−	1.59331i
$518$	315.088	+	337.783i	0.608278	+	0.652092i
$519$	−324.240	−	257.574i	−0.624739	−	0.496290i
$520$	−134.864	−	391.069i	−0.259353	−	0.752057i
$521$	1.15666	+	2.00340i	0.00222008	+	0.00384530i	0.867133	−	0.498076i	$-0.165960\pi$
$521$	1.15666	+	2.00340i	0.00222008	+	0.00384530i	−0.864913	+	0.501921i	$0.832627\pi$
$522$	−316.230	+	33.6955i	−0.605805	+	0.0645508i
$523$	−358.549	−	207.008i	−0.685562	−	0.395810i	0.116385	−	0.993204i	$-0.462869\pi$
$523$	−358.549	−	207.008i	−0.685562	−	0.395810i	−0.801947	+	0.597395i	$0.796203\pi$
$524$	−391.858	−	802.782i	−0.747820	−	1.53203i
$525$	−108.678	−	58.9174i	−0.207005	−	0.112224i
$526$	−302.194	+	988.991i	−0.574513	+	1.88021i
$527$	−97.3785	−	267.545i	−0.184779	−	0.507676i
$528$	762.993	−	47.6400i	1.44506	−	0.0902273i
$529$	91.8010	+	520.629i	0.173537	+	0.984176i
$530$	451.908	−	191.908i	0.852657	−	0.362091i
$531$	−174.109	+	572.092i	−0.327888	+	1.07739i
$532$	171.040	−	177.229i	0.321504	−	0.333138i
$533$	675.165	−	566.531i	1.26673	−	1.06291i
$534$	−89.3486	−	344.355i	−0.167319	−	0.644859i
$535$	71.6457	+	12.6331i	0.133917	+	0.0236132i
$536$	145.091	+	261.458i	0.270692	+	0.487795i
$537$	−542.273	+	110.687i	−1.00982	+	0.206120i
$538$	−139.652	−	214.970i	−0.259576	−	0.399573i
$539$		−	569.863i		−	1.05726i
$540$	4.37421	+	399.234i	0.00810040	+	0.739321i
$541$	−148.013			−0.273591			−0.136796	−	0.990599i	$-0.543680\pi$
$541$	−148.013			−0.273591			−0.136796	+	0.990599i	$0.543680\pi$
$542$	−176.191	+	114.460i	−0.325076	+	0.211180i
$543$	262.092	+	87.5089i	0.482674	+	0.161158i
$544$	225.807	+	225.450i	0.415086	+	0.414430i
$545$	−63.2742	+	358.846i	−0.116099	+	0.658433i
$546$	214.046	+	217.469i	0.392026	+	0.398294i
$547$	110.386	+	131.554i	0.201803	+	0.240500i	0.857449	−	0.514569i	$-0.172048\pi$
$547$	110.386	+	131.554i	0.201803	+	0.240500i	−0.655646	+	0.755069i	$0.727603\pi$
$548$	551.904	−	571.875i	1.00712	−	1.04357i
$549$	−34.8150	−	53.4611i	−0.0634154	−	0.0973790i
$550$	−141.110	−	332.287i	−0.256563	−	0.604159i
$551$	−294.670	+	51.9582i	−0.534791	+	0.0942980i
$552$	2.56283	+	13.7425i	0.00464281	+	0.0248958i
$553$	244.226	−	88.8909i	0.441638	−	0.160743i
$554$	793.760	+	242.539i	1.43278	+	0.437797i
$555$	−704.258	+	18.8910i	−1.26893	+	0.0340378i
$556$	−243.848	−	499.561i	−0.438575	−	0.898490i
$557$	157.849	−	273.403i	0.283392	−	0.490849i	−0.688826	−	0.724926i	$-0.741874\pi$
$557$	157.849	−	273.403i	0.283392	−	0.490849i	0.972218	+	0.234078i	$0.0752071\pi$
$558$	−123.622	+	498.866i	−0.221545	+	0.894025i
$559$	−20.9919	+	12.1197i	−0.0375525	+	0.0216810i
$560$	−204.575	−	66.3273i	−0.365313	−	0.118442i
$561$	174.897	+	443.173i	0.311759	+	0.789970i
$562$	588.724	−	549.169i	1.04755	−	0.977168i
$563$	699.739	−	833.916i	1.24288	−	1.48120i	0.425645	−	0.904890i	$-0.360047\pi$
$563$	699.739	−	833.916i	1.24288	−	1.48120i	0.817231	−	0.576311i	$-0.195508\pi$
$564$	−518.017	+	814.839i	−0.918471	+	1.44475i
$565$	585.747	+	213.195i	1.03672	+	0.377336i
$566$	−313.109	+	415.646i	−0.553195	+	0.734357i
$567$	−129.777	−	264.369i	−0.228884	−	0.466260i
$568$	−110.354	−	42.3006i	−0.194284	−	0.0744729i
$569$	−70.1886	−	25.5466i	−0.123354	−	0.0448973i	0.279605	−	0.960115i	$-0.409796\pi$
$569$	−70.1886	−	25.5466i	−0.123354	−	0.0448973i	−0.402960	+	0.915218i	$0.632019\pi$
$570$	29.7711	+	374.467i	0.0522300	+	0.656960i
$571$	−270.128	+	321.926i	−0.473078	+	0.563793i	−0.948830	−	0.315787i	$-0.897732\pi$
$571$	−270.128	+	321.926i	−0.473078	+	0.563793i	0.475752	+	0.879579i	$0.342176\pi$
$572$	93.4245	+	886.176i	0.163330	+	1.54926i
$573$	−65.9955	−	167.227i	−0.115175	−	0.291844i
$574$	−24.0530	−	457.572i	−0.0419041	−	0.797163i
$575$	5.71702	−	3.30073i	0.00994265	−	0.00574039i
$576$	−111.164	−	565.171i	−0.192993	−	0.981200i
$577$	369.741	−	640.409i	0.640798	−	1.10990i	−0.344457	−	0.938802i	$-0.611937\pi$
$577$	369.741	−	640.409i	0.640798	−	1.10990i	0.985255	−	0.171093i	$-0.0547298\pi$
$578$	172.072	−	337.843i	0.297703	−	0.584504i
$579$	843.712	−	22.6317i	1.45719	−	0.0390876i
$580$	153.631	+	211.315i	0.264882	+	0.364336i
$581$	−82.4730	+	30.0177i	−0.141950	+	0.0516656i
$582$	−43.7715	+	458.409i	−0.0752088	+	0.787644i
$583$	−1041.53	+	183.649i	−1.78649	+	0.315007i
$584$	666.507	+	822.269i	1.14128	+	1.40800i
$585$	−464.710	+	24.9487i	−0.794377	+	0.0426474i
$586$	−47.8001	+	389.811i	−0.0815702	+	0.665206i
$587$	480.055	+	572.107i	0.817810	+	0.974628i	0.999963	−	0.00864185i	$-0.00275082\pi$
$587$	480.055	+	572.107i	0.817810	+	0.974628i	−0.182152	+	0.983270i	$0.558306\pi$
$588$	−425.639	+	56.4497i	−0.723876	+	0.0960028i
$589$	−83.9700	+	476.218i	−0.142564	+	0.808519i
$590$	478.658	−	110.587i	0.811285	−	0.187435i
$591$	−86.2274	−	28.7902i	−0.145901	−	0.0487143i
$592$	994.038	−	211.947i	1.67912	−	0.358019i
$593$	−534.250			−0.900927			−0.450463	−	0.892795i	$-0.648741\pi$
$593$	−534.250			−0.900927			−0.450463	+	0.892795i	$0.648741\pi$
$594$	184.407	−	840.036i	0.310450	−	1.41420i
$595$		−	134.028i		−	0.225257i
$596$	−0.474600	+	6.81812i	−0.000796310	+	0.0114398i
$597$	696.116	−	142.089i	1.16602	−	0.238004i
$598$	−15.8764	+	3.66799i	−0.0265491	+	0.00613377i
$599$	709.697	+	125.139i	1.18480	+	0.208913i	0.731119	−	0.682250i	$-0.238999\pi$
$599$	709.697	+	125.139i	1.18480	+	0.208913i	0.453684	+	0.891163i	$0.350110\pi$
$600$	−234.212	+	138.313i	−0.390353	+	0.230521i
$601$	191.524	−	160.708i	0.318676	−	0.267401i	−0.469391	−	0.882990i	$-0.655527\pi$
$601$	191.524	−	160.708i	0.318676	−	0.267401i	0.788067	+	0.615590i	$0.211082\pi$
$602$	−1.53376	+	12.5078i	−0.00254777	+	0.0207771i
$603$	327.677	−	76.0904i	0.543411	−	0.126186i
$604$	−108.592	+	436.125i	−0.179787	+	0.722062i
$605$	−85.1596	−	482.964i	−0.140760	−	0.798288i
$606$	457.347	−	208.865i	0.754698	−	0.344661i
$607$	−131.884	−	362.349i	−0.217272	−	0.596951i	0.782394	−	0.622784i	$-0.213998\pi$
$607$	−131.884	−	362.349i	−0.217272	−	0.596951i	−0.999666	+	0.0258331i	$0.991776\pi$
$608$	−140.679	−	523.363i	−0.231380	−	0.860794i
$609$	−169.418	−	91.8468i	−0.278191	−	0.150816i
$610$	−23.7867	+	46.7024i	−0.0389947	+	0.0765613i
$611$	−974.684	−	562.734i	−1.59523	−	0.921005i
$612$	313.687	−	174.533i	0.512561	−	0.285185i
$613$	−214.313	−	371.200i	−0.349613	−	0.605547i	0.636568	−	0.771221i	$-0.280354\pi$
$613$	−214.313	−	371.200i	−0.349613	−	0.605547i	−0.986181	+	0.165674i	$0.947020\pi$
$614$	−20.6803	−	393.413i	−0.0336813	−	0.640738i
$615$	547.187	+	434.683i	0.889735	+	0.706801i
$616$	397.202	+	238.406i	0.644809	+	0.387023i
$617$	300.247	+	251.937i	0.486624	+	0.408326i	0.852815	−	0.522214i	$-0.174894\pi$
$617$	300.247	+	251.937i	0.486624	+	0.408326i	−0.366191	+	0.930540i	$0.619338\pi$
$618$	912.812	+	434.497i	1.47704	+	0.703070i
$619$	36.0407	−	99.0211i	0.0582241	−	0.159969i	−0.907170	−	0.420764i	$-0.861762\pi$
$619$	36.0407	−	99.0211i	0.0582241	−	0.159969i	0.965394	+	0.260794i	$0.0839844\pi$
$620$	405.830	−	116.509i	0.654564	−	0.187918i
$621$	15.6573	+	1.47740i	0.0252130	+	0.00237907i
$622$	33.4837	−	44.4490i	0.0538323	−	0.0714614i
$623$	73.7330	−	202.580i	0.118352	−	0.325168i
$624$	652.643	−	157.563i	1.04590	−	0.252505i
$625$	−163.333	−	137.053i	−0.261333	−	0.219285i
$626$	−477.875	+	445.767i	−0.763378	+	0.712088i
$627$	119.095	−	800.372i	0.189944	−	1.27651i
$628$	10.0878	+	6.79968i	0.0160634	+	0.0108275i
$629$	316.713	+	548.564i	0.503519	+	0.872120i
$630$	−135.004	+	200.772i	−0.214292	+	0.318686i
$631$	−528.383	−	305.062i	−0.837374	−	0.483458i	0.0189969	−	0.999820i	$-0.493953\pi$
$631$	−528.383	−	305.062i	−0.837374	−	0.483458i	−0.856371	+	0.516362i	$0.827286\pi$
$632$	108.849	−	561.403i	0.172229	−	0.888295i
$633$	−230.861	+	141.675i	−0.364710	+	0.223815i
$634$	187.944	+	57.4276i	0.296441	+	0.0905798i
$635$	254.922	+	700.391i	0.401451	+	1.10298i
$636$	240.342	+	759.738i	0.377896	+	1.19456i
$637$	−86.9064	−	492.871i	−0.136431	−	0.773738i
$638$	−219.977	−	518.005i	−0.344791	−	0.811920i
$639$	−79.8794	+	106.285i	−0.125007	+	0.166331i
$640$	−356.780	+	310.839i	−0.557469	+	0.485686i
$641$	229.980	−	192.976i	0.358783	−	0.301054i	−0.445523	−	0.895271i	$-0.646982\pi$
$641$	229.980	−	192.976i	0.358783	−	0.301054i	0.804305	+	0.594216i	$0.202538\pi$
$642$	−31.4638	+	113.806i	−0.0490090	+	0.177269i
$643$	−231.774	−	40.8680i	−0.360457	−	0.0635584i	−0.00951324	−	0.999955i	$-0.503028\pi$
$643$	−231.774	−	40.8680i	−0.360457	−	0.0635584i	−0.350944	+	0.936396i	$0.614139\pi$
$644$	−3.44310	+	7.73992i	−0.00534642	+	0.0120185i
$645$	−12.7442	−	14.3862i	−0.0197585	−	0.0223042i
$646$	283.229	−	183.995i	0.438434	−	0.284821i
$647$			915.078i			1.41434i	0.707044	+	0.707170i	$0.250028\pi$
$647$			915.078i			1.41434i	−0.707044	+	0.707170i	$0.749972\pi$
$648$	−645.702	−	54.5237i	−0.996454	−	0.0841415i
$649$	−1058.24			−1.63056
$650$	−172.720	−	265.873i	−0.265723	−	0.409036i
$651$	−233.127	+	206.518i	−0.358106	+	0.317233i
$652$	−145.429	−	64.6941i	−0.223051	−	0.0992241i
$653$	−105.737	+	599.667i	−0.161926	+	0.918326i	0.790252	+	0.612782i	$0.209950\pi$
$653$	−105.737	+	599.667i	−0.161926	+	0.918326i	−0.952178	+	0.305544i	$0.901162\pi$
$654$	−570.013	−	157.590i	−0.871579	−	0.240963i
$655$	530.691	+	632.453i	0.810215	+	0.965577i
$656$	−890.475	−	472.751i	−1.35743	−	0.720657i
$657$	1095.52	−	466.672i	1.66746	−	0.710307i
$658$	−538.558	+	228.705i	−0.818477	+	0.347576i
$659$	−78.7669	+	13.8887i	−0.119525	+	0.0210755i	−0.233091	−	0.972455i	$-0.574884\pi$
$659$	−78.7669	+	13.8887i	−0.119525	+	0.0210755i	0.113566	+	0.993530i	$0.463773\pi$
$660$	−673.633	+	213.103i	−1.02066	+	0.322883i
$661$	80.7044	−	29.3740i	0.122094	−	0.0444387i	−0.280250	−	0.959927i	$-0.590418\pi$
$661$	80.7044	−	29.3740i	0.122094	−	0.0444387i	0.402345	+	0.915488i	$0.368195\pi$
$662$	207.135	−	677.891i	0.312892	−	1.02400i
$663$	218.853	+	356.625i	0.330095	+	0.537896i
$664$	−36.7574	+	189.581i	−0.0553575	+	0.285514i
$665$	−113.817	+	197.137i	−0.171154	+	0.296447i
$666$	78.1265	−	1140.76i	0.117307	−	1.71285i
$667$	8.91231	−	5.14552i	0.0133618	−	0.00771443i
$668$	−44.1742	+	65.5357i	−0.0661291	+	0.0981074i
$669$	1005.71	+	149.649i	1.50330	+	0.223691i
$670$	−188.505	−	202.083i	−0.281351	−	0.301617i
$671$	72.5698	−	86.4853i	0.108152	−	0.128890i
$672$	138.723	−	320.292i	0.206433	−	0.476625i
$673$	721.132	+	262.471i	1.07152	+	0.390001i	0.816744	−	0.577000i	$-0.195777\pi$
$673$	721.132	+	262.471i	1.07152	+	0.390001i	0.254774	+	0.967001i	$0.417999\pi$
$674$	−942.019	−	709.629i	−1.39765	−	1.05286i
$675$	77.1836	+	296.109i	0.114346	+	0.438680i
$676$	29.4110	+	102.446i	0.0435073	+	0.151547i
$677$	−50.8219	−	18.4976i	−0.0750692	−	0.0273230i	0.304213	−	0.952604i	$-0.401607\pi$
$677$	−50.8219	−	18.4976i	−0.0750692	−	0.0273230i	−0.379282	+	0.925281i	$0.623829\pi$
$678$	−434.816	+	913.481i	−0.641321	+	1.34732i
$679$	−179.369	+	213.764i	−0.264167	+	0.314822i
$680$	−252.853	−	151.766i	−0.371842	−	0.223185i
$681$	−444.625	+	559.702i	−0.652900	+	0.821883i
$682$	−908.255	+	47.7438i	−1.33175	+	0.0700056i
$683$	−41.0521	+	23.7014i	−0.0601055	+	0.0347019i	−0.529752	−	0.848153i	$-0.677715\pi$
$683$	−41.0521	+	23.7014i	−0.0601055	+	0.0347019i	0.469646	+	0.882855i	$0.344382\pi$
$684$	−609.606	−	9.67005i	−0.891237	−	0.0141375i
$685$	−367.260	+	636.113i	−0.536146	+	0.928633i
$686$	−549.351	−	279.799i	−0.800803	−	0.407870i
$687$	−233.663	+	431.009i	−0.340121	+	0.627378i
$688$	21.8601	+	17.0567i	0.0317734	+	0.0247917i
$689$	−872.801	+	317.674i	−1.26676	+	0.461065i
$690$	−5.36713	−	11.7523i	−0.00777845	−	0.0170323i
$691$	655.348	−	115.555i	0.948405	−	0.167229i	0.322011	−	0.946736i	$-0.395641\pi$
$691$	655.348	−	115.555i	0.948405	−	0.167229i	0.626394	+	0.779507i	$0.284530\pi$
$692$	−535.770	−	133.402i	−0.774235	−	0.192778i
$693$	380.702	−	355.919i	0.549353	−	0.513592i
$694$	536.756	+	65.8191i	0.773423	+	0.0948402i
$695$	330.242	+	393.567i	0.475168	+	0.566283i
$696$	−365.115	+	215.616i	−0.524590	+	0.309794i
$697$	109.106	−	618.773i	0.156537	−	0.887766i
$698$	232.064	+	1004.45i	0.332470	+	1.43905i
$699$	−87.5319	−	428.833i	−0.125224	−	0.613495i
$700$	−164.430	−	11.4457i	−0.234900	−	0.0163511i
$701$	−536.019			−0.764649			−0.382325	−	0.924028i	$-0.624876\pi$
$701$	−536.019			−0.764649			−0.382325	+	0.924028i	$0.624876\pi$
$702$	31.3835	−	754.665i	0.0447059	−	1.07502i
$703$		−	1075.82i		−	1.53032i
$704$	899.538	−	479.390i	1.27775	−	0.680951i
$705$	282.616	−	846.443i	0.400873	−	1.20063i
$706$	−97.2837	−	421.078i	−0.137796	−	0.596428i
$707$	300.046	+	52.9063i	0.424394	+	0.0748321i
$708$	104.827	+	790.411i	0.148061	+	1.11640i
$709$	512.391	−	429.947i	0.722695	−	0.606413i	−0.205434	−	0.978671i	$-0.565861\pi$
$709$	512.391	−	429.947i	0.722695	−	0.606413i	0.928129	+	0.372258i	$0.121416\pi$
$710$	108.414	+	13.2941i	0.152695	+	0.0187241i
$711$	−573.592	−	291.339i	−0.806740	−	0.409759i
$712$	−298.689	−	368.492i	−0.419507	−	0.517545i
$713$	−2.88802	−	16.3788i	−0.00405052	−	0.0229716i
$714$	216.544	+	20.6769i	0.303284	+	0.0289593i
$715$	−281.670	−	773.883i	−0.393944	−	1.08235i
$716$	−596.867	+	433.938i	−0.833613	+	0.606059i
$717$	11.6578	+	434.604i	0.0162591	+	0.606142i
$718$	453.462	+	230.960i	0.631562	+	0.321671i
$719$	541.911	+	312.872i	0.753701	+	0.435149i	0.827029	−	0.562159i	$-0.190029\pi$
$719$	541.911	+	312.872i	0.753701	+	0.435149i	−0.0733289	+	0.997308i	$0.523362\pi$
$720$	225.898	+	482.037i	0.313748	+	0.669495i
$721$	306.305	+	530.537i	0.424834	+	0.735834i
$722$	148.164	−	7.78847i	0.205213	−	0.0107874i
$723$	228.812	−	90.2999i	0.316475	−	0.124896i
$724$	366.389	−	38.6264i	0.506063	−	0.0533513i
$725$	153.391	+	128.710i	0.211573	+	0.177531i
$726$	793.445	−	63.0810i	1.09290	−	0.0868884i
$727$	−484.036	+	1329.88i	−0.665798	+	1.82927i	−0.117334	+	0.993093i	$0.537435\pi$
$727$	−484.036	+	1329.88i	−0.665798	+	1.82927i	−0.548465	+	0.836174i	$0.684787\pi$
$728$	379.895	+	145.621i	0.521834	+	0.200029i
$729$	−258.645	+	681.575i	−0.354794	+	0.934945i
$730$	−781.355	−	588.599i	−1.07035	−	0.806300i
$731$	−5.91011	+	16.2379i	−0.00808497	+	0.0222133i
$732$	−71.7857	−	45.6363i	−0.0980679	−	0.0623447i
$733$	−952.728	−	799.434i	−1.29977	−	1.09063i	−0.990186	−	0.139759i	$-0.955367\pi$
$733$	−952.728	−	799.434i	−1.29977	−	1.09063i	−0.309580	−	0.950873i	$-0.600188\pi$
$734$	−774.123	−	829.882i	−1.05466	−	1.13063i
$735$	369.118	−	145.672i	0.502202	−	0.198193i
$736$	10.7031	+	15.2599i	0.0145422	+	0.0207335i
$737$	297.647	+	515.540i	0.403863	+	0.699512i
$738$	−786.718	+	817.010i	−1.06601	+	1.10706i
$739$	1173.60	+	677.576i	1.58809	+	0.916883i	0.993622	+	0.112761i	$0.0359696\pi$
$739$	1173.60	+	677.576i	1.58809	+	0.916883i	0.594465	+	0.804121i	$0.297364\pi$
$740$	−844.150	+	412.050i	−1.14074	+	0.556825i
$741$	−19.0557	−	710.398i	−0.0257162	−	0.958702i
$742$	−141.105	+	461.795i	−0.190168	+	0.622365i
$743$	−272.586	−	748.924i	−0.366872	−	1.00797i	−0.976544	−	0.215319i	$-0.930921\pi$
$743$	−272.586	−	748.924i	−0.366872	−	1.00797i	0.609671	−	0.792654i	$-0.291301\pi$
$744$	125.631	+	673.659i	0.168858	+	0.905456i
$745$	−1.09687	−	6.22064i	−0.00147231	−	0.00834986i
$746$	673.033	−	285.811i	0.902189	−	0.383125i
$747$	193.697	+	98.3827i	0.259300	+	0.131704i
$748$	457.099	+	441.136i	0.611095	+	0.589754i
$749$	−54.8114	+	45.9923i	−0.0731795	+	0.0614049i
$750$	574.367	−	565.328i	0.765823	−	0.753771i
$751$	1324.25	+	233.502i	1.76332	+	0.310921i	0.959027	−	0.283313i	$-0.0914337\pi$
$751$	1324.25	+	233.502i	1.76332	+	0.310921i	0.804292	+	0.594234i	$0.202545\pi$
$752$	−178.366	+	1275.00i	−0.237189	+	1.69547i
$753$	45.5878	−	136.537i	0.0605416	−	0.181324i
$754$	−269.254	−	414.471i	−0.357101	−	0.549697i
$755$		−	415.377i		−	0.550168i
$756$	−303.553	−	249.095i	−0.401525	−	0.329491i
$757$	268.495			0.354682			0.177341	−	0.984149i	$-0.443250\pi$
$757$	268.495			0.354682			0.177341	+	0.984149i	$0.443250\pi$
$758$	520.506	−	338.138i	0.686683	−	0.446092i
$759$	5.56592	+	27.2684i	0.00733323	+	0.0359267i
$760$	243.032	+	437.951i	0.319779	+	0.576251i
$761$	81.3927	−	461.601i	0.106955	−	0.606572i	−0.883466	−	0.468494i	$-0.844797\pi$
$761$	81.3927	−	461.601i	0.106955	−	0.606572i	0.990421	−	0.138077i	$-0.0440923\pi$
$762$	−1170.92	+	303.816i	−1.53665	+	0.398709i
$763$	−230.357	−	274.529i	−0.301910	−	0.359802i
$764$	−172.481	−	166.458i	−0.225761	−	0.217877i
$765$	−242.349	+	226.573i	−0.316796	+	0.296173i
$766$	177.575	+	418.156i	0.231821	+	0.545895i
$767$	−915.261	+	161.385i	−1.19330	+	0.210411i
$768$	−447.170	−	624.390i	−0.582252	−	0.813008i
$769$	149.651	−	54.4686i	0.194605	−	0.0708304i	−0.242879	−	0.970057i	$-0.578092\pi$
$769$	149.651	−	54.4686i	0.194605	−	0.0708304i	0.437484	+	0.899226i	$0.355870\pi$
$770$	−409.458	−	125.113i	−0.531763	−	0.162484i
$771$	423.751	−	781.641i	0.549613	−	1.01380i
$772$	1011.31	−	493.643i	1.30998	−	0.639434i
$773$	−606.372	+	1050.27i	−0.784440	+	1.35869i	0.144894	+	0.989447i	$0.453716\pi$
$773$	−606.372	+	1050.27i	−0.784440	+	1.35869i	−0.929333	+	0.369242i	$0.879617\pi$
$774$	25.2094	−	18.3710i	0.0325703	−	0.0237351i
$775$	280.250	−	161.802i	0.361613	−	0.208777i
$776$	200.172	+	580.446i	0.257953	+	0.747997i
$777$	430.990	−	542.539i	0.554685	−	0.698248i
$778$	−458.554	+	427.744i	−0.589401	+	0.549800i
$779$	−685.945	+	817.478i	−0.880546	+	1.04939i
$780$	−550.122	+	287.043i	−0.705285	+	0.368004i
$781$	−221.093	−	80.4714i	−0.283090	−	0.103036i
$782$	−6.98937	+	9.27826i	−0.00893781	+	0.0118648i
$783$	120.322	+	461.607i	0.153668	+	0.589536i
$784$	−485.305	+	303.680i	−0.619011	+	0.387347i
$785$	−10.5654	−	3.84549i	−0.0134591	−	0.00489871i
$786$	−1103.70	+	759.847i	−1.40420	+	0.966727i
$787$	−421.238	+	502.011i	−0.535245	+	0.637880i	−0.964115	−	0.265487i	$-0.914467\pi$
$787$	−421.238	+	502.011i	−0.535245	+	0.637880i	0.428870	+	0.903366i	$0.358912\pi$
$788$	−120.541	+	12.7080i	−0.152971	+	0.0161268i
$789$	1534.30	+	228.303i	1.94462	+	0.289357i
$790$	27.7439	+	527.786i	0.0351188	+	0.668084i
$791$	−530.925	+	306.530i	−0.671208	+	0.387522i
$792$	−240.379	−	1121.24i	−0.303509	−	1.41571i
$793$	49.5758	−	85.8677i	0.0625167	−	0.108282i
$794$	−128.462	+	252.220i	−0.161791	+	0.317657i
$795$	−385.196	−	627.683i	−0.484523	−	0.789539i
$796$	766.199	−	557.047i	0.962562	−	0.699808i
$797$	643.625	−	234.260i	0.807559	−	0.293928i	0.0949441	−	0.995483i	$-0.469733\pi$
$797$	643.625	−	234.260i	0.807559	−	0.293928i	0.712615	+	0.701555i	$0.247511\pi$
$798$	−300.949	−	214.304i	−0.377129	−	0.268551i
$799$	−790.148	+	139.324i	−0.988921	+	0.174373i
$800$	−207.784	+	297.247i	−0.259730	+	0.371559i
$801$	−490.948	+	209.134i	−0.612919	+	0.261092i
$802$	−92.1109	+	751.166i	−0.114852	+	0.936616i
$803$	1354.50	+	1614.24i	1.68681	+	2.01026i
$804$	355.580	−	273.385i	0.442263	−	0.340032i
$805$	1.35952	−	7.71020i	0.00168884	−	0.00957789i
$806$	−778.262	+	179.806i	−0.965586	+	0.223084i
$807$	−287.829	+	254.977i	−0.356665	+	0.315956i
$808$	439.567	−	506.149i	0.544018	−	0.626422i
$809$	−614.291			−0.759321			−0.379661	−	0.925126i	$-0.623959\pi$
$809$	−614.291			−0.759321			−0.379661	+	0.925126i	$0.623959\pi$
$810$	591.257	−	95.2884i	0.729947	−	0.117640i
$811$			885.453i			1.09180i	0.837849	+	0.545902i	$0.183813\pi$
$811$			885.453i			1.09180i	−0.837849	+	0.545902i	$0.816187\pi$
$812$	−256.331	−	17.8428i	−0.315678	−	0.0219739i
$813$	208.981	+	235.907i	0.257049	+	0.290168i
$814$	1971.51	−	455.489i	2.42201	−	0.559568i
$815$	144.871	+	25.5447i	0.177756	+	0.0313431i
$816$	284.211	−	385.112i	0.348298	−	0.471951i
$817$	22.4823	−	18.8649i	0.0275181	−	0.0230904i
$818$	79.5674	−	648.874i	0.0972707	−	0.793244i
$819$	274.987	−	365.890i	0.335760	−	0.446753i
$820$	904.166	+	225.130i	1.10264	+	0.274549i
$821$	3.13868	+	17.8003i	0.00382299	+	0.0216813i	0.986660	−	0.162797i	$-0.0520516\pi$
$821$	3.13868	+	17.8003i	0.00382299	+	0.0216813i	−0.982837	+	0.184478i	$0.940940\pi$
$822$	−971.087	−	691.504i	−1.18137	−	0.841246i
$823$	−213.708	−	587.157i	−0.259669	−	0.713435i	−0.999188	−	0.0402987i	$-0.987169\pi$
$823$	−213.708	−	587.157i	−0.259669	−	0.713435i	0.739519	−	0.673136i	$-0.235053\pi$
$824$	1347.73	+	22.8845i	1.63560	+	0.0277725i
$825$	−461.534	+	283.234i	−0.559435	+	0.343313i
$826$	−219.284	+	430.538i	−0.265477	+	0.521233i
$827$	−151.143	−	87.2623i	−0.182760	−	0.105517i	0.405829	−	0.913949i	$-0.366983\pi$
$827$	−151.143	−	87.2623i	−0.182760	−	0.105517i	−0.588589	+	0.808432i	$0.700316\pi$
$828$	19.8158	−	6.85842i	0.0239321	−	0.00828312i
$829$	−686.871	−	1189.70i	−0.828553	−	1.43510i	−0.899173	−	0.437593i	$-0.855831\pi$
$829$	−686.871	−	1189.70i	−0.828553	−	1.43510i	0.0706196	−	0.997503i	$-0.477502\pi$
$830$	−9.36888	−	178.229i	−0.0112878	−	0.214734i
$831$	183.235	−	1231.42i	0.220499	−	1.48186i
$832$	704.896	−	551.804i	0.847231	−	0.663226i
$833$	−273.312	−	229.336i	−0.328106	−	0.275314i
$834$	−686.819	+	472.843i	−0.823524	+	0.566958i
$835$	24.9823	−	68.6383i	0.0299189	−	0.0822015i
$836$	−297.717	−	1037.02i	−0.356120	−	1.24046i
$837$	767.523	+	72.4226i	0.916993	+	0.0865264i
$838$	−306.905	+	407.411i	−0.366235	+	0.486171i
$839$	34.7575	−	95.4954i	0.0414273	−	0.113821i	−0.917254	−	0.398303i	$-0.869599\pi$
$839$	34.7575	−	95.4954i	0.0414273	−	0.113821i	0.958681	+	0.284482i	$0.0918216\pi$
$840$	−52.8884	+	318.223i	−0.0629624	+	0.378837i
$841$	−405.122	−	339.938i	−0.481714	−	0.404206i
$842$	897.052	−	836.780i	1.06538	−	0.993800i
$843$	−945.593	−	751.175i	−1.12170	−	0.891074i
$844$	−201.861	+	299.475i	−0.239172	+	0.354829i
$845$	−49.2528	−	85.3084i	−0.0582874	−	0.100957i
$846$	1323.97	+	587.195i	1.56497	+	0.694084i
$847$	417.708	+	241.164i	0.493161	+	0.284727i
$848$	711.426	+	789.114i	0.838946	+	0.930559i
$849$	686.220	+	372.021i	0.808268	+	0.438187i
$850$	−216.157	−	66.0483i	−0.254302	−	0.0777039i
$851$	12.6551	+	34.7696i	0.0148709	+	0.0408574i
$852$	−38.2041	+	173.109i	−0.0448405	+	0.203180i
$853$	21.3543	+	121.106i	0.0250344	+	0.141977i	0.994763	−	0.102208i	$-0.0325907\pi$
$853$	21.3543	+	121.106i	0.0250344	+	0.141977i	−0.969729	+	0.244185i	$0.921480\pi$
$854$	−20.1484	−	47.4459i	−0.0235930	−	0.0555572i
$855$	548.869	−	127.454i	0.641953	−	0.149069i
$856$	24.7020	+	155.484i	0.0288575	+	0.181641i
$857$	−285.391	+	239.471i	−0.333011	+	0.279429i	−0.793925	−	0.608015i	$-0.791966\pi$
$857$	−285.391	+	239.471i	−0.333011	+	0.279429i	0.460914	+	0.887445i	$0.347522\pi$
$858$	1293.79	−	335.695i	1.50791	−	0.391253i
$859$	−1006.24	−	177.428i	−1.17141	−	0.206551i	−0.446107	−	0.894980i	$-0.647190\pi$
$859$	−1006.24	−	177.428i	−1.17141	−	0.206551i	−0.725304	+	0.688428i	$0.758301\pi$
$860$	−23.4135	−	10.4155i	−0.0272250	−	0.0121110i
$861$	−673.420	+	137.456i	−0.782137	+	0.159647i
$862$	−518.252	+	336.673i	−0.601220	+	0.390572i
$863$			755.082i			0.874950i	0.899231	+	0.437475i	$0.144127\pi$
$863$			755.082i			0.874950i	−0.899231	+	0.437475i	$0.855873\pi$
$864$	−813.659	+	290.611i	−0.941735	+	0.336355i
$865$	510.281			0.589921
$866$	−296.268	−	456.054i	−0.342111	−	0.526621i
$867$	−539.436	−	180.110i	−0.622187	−	0.207740i
$868$	−168.781	+	379.412i	−0.194449	+	0.437111i
$869$	197.694	−	1121.18i	0.227495	−	1.29019i
$870$	279.296	−	274.901i	0.321030	−	0.315978i
$871$	336.055	+	400.495i	0.385827	+	0.459810i
$872$	−778.761	+	123.723i	−0.893074	+	0.141884i
$873$	689.748	−	37.0302i	0.790089	−	0.0424172i
$874$	18.1596	−	7.71167i	0.0207775	−	0.00882342i
$875$	480.945	−	84.8036i	0.549651	−	0.0969183i
$876$	1071.52	−	1171.60i	1.22320	−	1.33745i
$877$	512.795	−	186.642i	0.584715	−	0.212819i	−0.0326883	−	0.999466i	$-0.510407\pi$
$877$	512.795	−	186.642i	0.584715	−	0.212819i	0.617403	+	0.786647i	$0.288185\pi$
$878$	−91.6942	+	300.088i	−0.104435	+	0.341786i
$879$	588.884	−	15.7962i	0.669948	−	0.0179707i
$880$	−699.680	+	630.797i	−0.795091	+	0.716815i
$881$	456.814	−	791.224i	0.518517	−	0.898098i	−0.481251	−	0.876583i	$-0.659818\pi$
$881$	456.814	−	791.224i	0.518517	−	0.898098i	0.999769	−	0.0215153i	$-0.00684906\pi$
$882$	178.411	+	618.844i	0.202280	+	0.701637i
$883$	−1044.63	+	603.119i	−1.18305	+	0.683034i	−0.956718	−	0.291016i	$-0.906007\pi$
$883$	−1044.63	+	603.119i	−1.18305	+	0.683034i	−0.226332	+	0.974050i	$0.572673\pi$
$884$	462.617	+	311.826i	0.523322	+	0.352744i
$885$	−270.512	−	685.452i	−0.305663	−	0.774522i
$886$	−353.153	−	378.590i	−0.398592	−	0.427302i
$887$	351.731	−	419.177i	0.396540	−	0.472578i	−0.530422	−	0.847734i	$-0.677966\pi$
$887$	351.731	−	419.177i	0.396540	−	0.472578i	0.926962	+	0.375156i	$0.122411\pi$
$888$	−535.506	−	1427.43i	−0.603047	−	1.60747i
$889$	−688.841	−	250.718i	−0.774849	−	0.282022i
$890$	350.157	+	263.775i	0.393434	+	0.296376i
$891$	−1287.14	−	86.7074i	−1.44460	−	0.0973148i
$892$	1303.08	−	374.097i	1.46085	−	0.419392i
$893$	1280.52	+	466.070i	1.43395	+	0.521915i
$894$	10.2197	−	0.812492i	0.0114314	−	0.000908827i
$895$	438.386	−	522.448i	0.489817	−	0.583741i
$896$	−8.63782	−	465.311i	−0.00964043	−	0.519320i
$897$	8.97246	+	22.7354i	0.0100027	+	0.0253460i
$898$	1613.06	−	84.7930i	1.79628	−	0.0944243i
$899$	436.883	−	252.235i	0.485966	−	0.280573i
$900$	257.270	+	316.670i	0.285855	+	0.351855i
$901$	−331.072	+	573.434i	−0.367450	+	0.636442i
$902$	−1788.51	−	910.934i	−1.98283	−	1.00990i
$903$	18.8955	−	0.506852i	0.0209252	−	0.000561298i
$904$	−22.9013	+	1348.72i	−0.0253333	+	1.49195i
$905$	−319.962	+	116.457i	−0.353549	+	0.128681i
$906$	671.109	+	64.0814i	0.740739	+	0.0707301i
$907$	645.561	−	113.830i	0.711754	−	0.125501i	0.193963	−	0.981009i	$-0.437866\pi$
$907$	645.561	−	113.830i	0.711754	−	0.125501i	0.517791	+	0.855507i	$0.326755\pi$
$908$	−230.279	+	924.847i	−0.253611	+	1.01855i
$909$	−411.559	−	631.979i	−0.452760	−	0.695247i
$910$	−373.217	−	45.7653i	−0.410129	−	0.0502916i
$911$	−469.932	−	560.043i	−0.515842	−	0.614757i	0.443750	−	0.896150i	$-0.353648\pi$
$911$	−469.932	−	560.043i	−0.515842	−	0.614757i	−0.959592	+	0.281394i	$0.909203\pi$
$912$	−745.075	+	325.094i	−0.816968	+	0.356463i
$913$	−66.7595	+	378.612i	−0.0731210	+	0.414690i
$914$	−246.444	−	1066.70i	−0.269632	−	1.16706i
$915$	74.5699	+	24.8979i	0.0814972	+	0.0272108i
$916$	−45.3931	+	652.118i	−0.0495557	+	0.711919i
$917$	−811.993			−0.885489
$918$	−328.677	−	426.509i	−0.358036	−	0.464606i
$919$		−	444.934i		−	0.484150i	−0.970257	−	0.242075i	$-0.922172\pi$
$919$		−	444.934i		−	0.484150i	0.970257	−	0.242075i	$-0.0778281\pi$
$920$	−13.0064	−	11.2954i	−0.0141373	−	0.0122776i
$921$	−578.996	+	118.182i	−0.628660	+	0.128320i
$922$	−69.4620	−	300.656i	−0.0753384	−	0.326091i
$923$	−203.494	−	35.8815i	−0.220471	−	0.0388749i
$924$	265.309	−	642.244i	0.287130	−	0.695069i
$925$	−551.510	+	462.772i	−0.596227	+	0.500294i
$926$	125.791	+	15.4250i	0.135843	+	0.0166576i
$927$	441.509	−	1450.72i	0.476277	−	1.56497i
$928$	−323.916	+	463.380i	−0.349047	+	0.499332i
$929$	15.5752	+	88.3315i	0.0167656	+	0.0950823i	0.992042	−	0.125905i	$-0.0401833\pi$
$929$	15.5752	+	88.3315i	0.0167656	+	0.0950823i	−0.975277	+	0.220987i	$0.929072\pi$
$930$	−263.098	−	576.101i	−0.282901	−	0.619463i
$931$	207.252	+	569.421i	0.222613	+	0.611623i
$932$	−343.162	−	472.007i	−0.368199	−	0.506445i
$933$	−73.3840	−	39.7837i	−0.0786539	−	0.0426406i
$934$	335.009	+	170.629i	0.358682	+	0.182686i
$935$	−508.444	−	293.551i	−0.543791	−	0.313958i
$936$	−378.896	−	933.095i	−0.404803	−	0.996897i
$937$	231.032	+	400.160i	0.246566	+	0.427065i	0.962571	−	0.271031i	$-0.0873644\pi$
$937$	231.032	+	400.160i	0.246566	+	0.427065i	−0.716005	+	0.698095i	$0.754031\pi$
$938$	271.423	−	14.2677i	0.289363	−	0.0152108i
$939$	767.550	+	609.738i	0.817412	+	0.649348i
$940$	−124.746	−	1183.28i	−0.132709	−	1.25881i
$941$	−187.687	−	157.488i	−0.199455	−	0.167362i	0.537590	−	0.843206i	$-0.319335\pi$
$941$	−187.687	−	157.488i	−0.199455	−	0.167362i	−0.737045	+	0.675844i	$0.763779\pi$
$942$	7.84297	−	16.4769i	0.00832588	−	0.0174914i
$943$	12.5531	−	34.4892i	0.0133118	−	0.0365740i
$944$	563.933	+	901.211i	0.597387	+	0.954673i
$945$	327.857	+	155.611i	0.346939	+	0.164667i
$946$	44.0900	+	33.2132i	0.0466068	+	0.0351091i
$947$	186.379	−	512.073i	0.196810	−	0.540732i	−0.801553	−	0.597924i	$-0.795992\pi$
$947$	186.379	−	512.073i	0.196810	−	0.540732i	0.998363	+	0.0571920i	$0.0182147\pi$
$948$	−857.005	−	36.5984i	−0.904014	−	0.0386059i
$949$	1417.68	+	1189.57i	1.49387	+	1.25350i
$950$	261.849	+	280.709i	0.275630	+	0.295484i
$951$	43.3857	−	291.572i	0.0456211	−	0.306595i
$952$	274.193	−	94.5578i	0.288017	−	0.0993254i
$953$	−186.813	−	323.570i	−0.196026	−	0.339528i	0.751210	−	0.660063i	$-0.229471\pi$
$953$	−186.813	−	323.570i	−0.196026	−	0.339528i	−0.947237	+	0.320535i	$0.896137\pi$
$954$	1073.55	−	525.512i	1.12531	−	0.550851i
$955$	191.856	+	110.768i	0.200896	+	0.115988i
$956$	254.280	+	520.933i	0.265983	+	0.544909i
$957$	−719.489	+	441.535i	−0.751817	+	0.461374i
$958$	180.782	−	591.647i	0.188708	−	0.617585i
$959$	−247.078	−	678.841i	−0.257641	−	0.707863i
$960$	540.461	+	460.115i	0.562980	+	0.479287i
$961$	25.3046	+	143.509i	0.0263315	+	0.149333i
$962$	1635.69	−	694.613i	1.70030	−	0.722051i
$963$	175.821	+	21.3605i	0.182576	+	0.0221812i
$964$	227.760	−	236.002i	0.236265	−	0.244815i
$965$	−796.733	+	668.538i	−0.825630	+	0.692786i
$966$	12.2474	+	3.38600i	0.0126784	+	0.00350517i
$967$	−297.669	−	52.4871i	−0.307827	−	0.0542782i	0.0176007	−	0.999845i	$-0.494397\pi$
$967$	−297.669	−	52.4871i	−0.307827	−	0.0542782i	−0.325428	+	0.945567i	$0.605508\pi$
$968$	927.959	−	514.952i	0.958635	−	0.531976i
$969$	−335.938	−	379.221i	−0.346685	−	0.391353i
$970$	−309.134	−	475.860i	−0.318695	−	0.490577i
$971$		−	259.199i		−	0.266940i	−0.991053	−	0.133470i	$-0.957388\pi$
$971$		−	259.199i		−	0.266940i	0.991053	−	0.133470i	$-0.0426120\pi$
$972$	62.7390	+	969.973i	0.0645463	+	0.997915i
$973$	−505.292			−0.519314
$974$	665.118	−	432.082i	0.682873	−	0.443616i
$975$	−355.984	+	315.353i	−0.365111	+	0.323439i
$976$	−112.325	−	15.7137i	−0.115087	−	0.0161001i
$977$	−126.045	+	714.836i	−0.129012	+	0.731664i	0.849831	+	0.527055i	$0.176704\pi$
$977$	−126.045	+	714.836i	−0.129012	+	0.731664i	−0.978844	+	0.204610i	$0.934407\pi$
$978$	−63.6213	+	230.122i	−0.0650524	+	0.235298i
$979$	−607.008	−	723.404i	−0.620029	−	0.738921i
$980$	367.421	−	380.717i	0.374920	−	0.388487i
$981$	−106.987	+	880.619i	−0.109059	+	0.897674i
$982$	310.586	+	731.373i	0.316279	+	0.744779i
$983$	204.339	−	36.0305i	0.207873	−	0.0366536i	−0.0687418	−	0.997634i	$-0.521898\pi$
$983$	204.339	−	36.0305i	0.207873	−	0.0366536i	0.276615	+	0.960981i	$0.410787\pi$
$984$	−503.223	+	1426.10i	−0.511405	+	1.44929i
$985$	105.266	−	38.3139i	0.106870	−	0.0388973i
$986$	−336.968	−	102.963i	−0.341753	−	0.104425i
$987$	459.054	+	748.037i	0.465100	+	0.757889i
$988$	−415.643	−	851.510i	−0.420691	−	0.861853i
$989$	−0.504699	+	0.874164i	−0.000510312	+	0.000883887i
$990$	465.953	+	951.880i	0.470660	+	0.961495i
$991$	−159.830	+	92.2782i	−0.161282	+	0.0931162i	−0.578469	−	0.815705i	$-0.696349\pi$
$991$	−159.830	+	92.2782i	−0.161282	+	0.0931162i	0.417187	+	0.908821i	$0.363016\pi$
$992$	524.668	+	748.042i	0.528899	+	0.754075i
$993$	−1051.67	−	156.487i	−1.05908	−	0.157590i
$994$	−78.5537	+	73.2757i	−0.0790278	+	0.0737180i
$995$	−562.757	+	670.667i	−0.565585	+	0.674038i
$996$	289.404	+	12.3590i	0.290566	+	0.0124086i
$997$	−540.967	−	196.896i	−0.542595	−	0.197488i	0.0561586	−	0.998422i	$-0.482115\pi$
$997$	−540.967	−	196.896i	−0.542595	−	0.197488i	−0.598753	+	0.800934i	$0.704337\pi$
$998$	−897.087	+	1190.87i	−0.898885	+	1.19325i
$999$	−1709.60	+	137.839i	−1.71131	+	0.137977i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.31.11	yes	204
3.2	odd	2		324.3.j.a.307.24		204
4.3	odd	2	inner	108.3.j.a.31.3	yes	204
12.11	even	2		324.3.j.a.307.32		204
27.7	even	9	inner	108.3.j.a.7.3	✓	204
27.20	odd	18		324.3.j.a.19.32		204
108.7	odd	18	inner	108.3.j.a.7.11	yes	204
108.47	even	18		324.3.j.a.19.24		204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.3	✓	204	27.7	even	9	inner
108.3.j.a.7.11	yes	204	108.7	odd	18	inner
108.3.j.a.31.3	yes	204	4.3	odd	2	inner
108.3.j.a.31.11	yes	204	1.1	even	1	trivial
324.3.j.a.19.24		204	108.47	even	18
324.3.j.a.19.32		204	27.20	odd	18
324.3.j.a.307.24		204	3.2	odd	2
324.3.j.a.307.32		204	12.11	even	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:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.08954 - 1.67717i) q^{2} +(-2.24560 + 1.98929i) q^{3} +(-1.62579 + 3.65470i) q^{4} +(0.641948 - 3.64067i) q^{5} +(5.78306 + 1.59883i) q^{6} +(2.33709 + 2.78523i) q^{7} +(7.90091 - 1.25523i) q^{8} +(1.08543 - 8.93431i) q^{9} +O(q^{10})\)	\(q+(-1.08954 - 1.67717i) q^{2} +(-2.24560 + 1.98929i) q^{3} +(-1.62579 + 3.65470i) q^{4} +(0.641948 - 3.64067i) q^{5} +(5.78306 + 1.59883i) q^{6} +(2.33709 + 2.78523i) q^{7} +(7.90091 - 1.25523i) q^{8} +(1.08543 - 8.93431i) q^{9} +(-6.80544 + 2.89001i) q^{10} +(15.6847 - 2.76563i) q^{11} +(-3.61939 - 11.4412i) q^{12} +(13.1438 - 4.78396i) q^{13} +(2.12495 - 6.95433i) q^{14} +(5.80079 + 9.45250i) q^{15} +(-10.7136 - 11.8835i) q^{16} +(4.98573 - 8.63554i) q^{17} +(-16.1670 + 7.91386i) q^{18} +(-14.6667 + 8.46782i) q^{19} +(12.2619 + 8.26508i) q^{20} +(-10.7888 - 1.60537i) q^{21} +(-21.7276 - 23.2926i) q^{22} +(0.374408 - 0.446202i) q^{23} +(-15.2453 + 18.5360i) q^{24} +(10.6500 + 3.87627i) q^{25} +(-22.3443 - 16.8321i) q^{26} +(15.3355 + 22.2221i) q^{27} +(-13.9788 + 4.01315i) q^{28} +(16.6023 + 6.04274i) q^{29} +(9.53322 - 20.0278i) q^{30} +(18.3535 - 21.8729i) q^{31} +(-8.25774 + 30.9162i) q^{32} +(-29.7199 + 37.4119i) q^{33} +(-19.9154 + 1.04689i) q^{34} +(11.6404 - 6.72059i) q^{35} +(30.8875 + 18.4922i) q^{36} +(-31.7620 + 55.0133i) q^{37} +(30.1820 + 15.3725i) q^{38} +(-19.9990 + 36.8897i) q^{39} +(0.502105 - 29.5704i) q^{40} +(59.2116 - 21.5512i) q^{41} +(9.06241 + 19.8438i) q^{42} +(-1.70662 + 0.300923i) q^{43} +(-15.3924 + 61.8191i) q^{44} +(-31.8300 - 9.68705i) q^{45} +(-1.15629 - 0.141789i) q^{46} +(-51.7208 - 61.6385i) q^{47} +(47.6983 + 5.37314i) q^{48} +(6.21322 - 35.2369i) q^{49} +(-5.10244 - 22.0851i) q^{50} +(5.98266 + 29.3100i) q^{51} +(-3.88516 + 55.8143i) q^{52} -66.4040 q^{53} +(20.5615 - 49.9322i) q^{54} -58.8781i q^{55} +(21.9612 + 19.0723i) q^{56} +(16.0905 - 48.1917i) q^{57} +(-7.95423 - 34.4287i) q^{58} +(-65.4349 - 11.5379i) q^{59} +(-43.9769 + 5.83236i) q^{60} +(5.43023 - 4.55650i) q^{61} +(-56.6815 - 6.95051i) q^{62} +(27.4209 - 17.8571i) q^{63} +(60.8488 - 19.8349i) q^{64} +(-8.97915 - 50.9233i) q^{65} +(95.1272 + 9.08330i) q^{66} +(12.7838 + 35.1231i) q^{67} +(23.4545 + 32.2609i) q^{68} +(0.0468560 + 1.74680i) q^{69} +(-23.9543 - 12.2005i) q^{70} +(-12.7937 - 7.38644i) q^{71} +(-2.63869 - 71.9516i) q^{72} +(66.1544 + 114.583i) q^{73} +(126.873 - 6.66926i) q^{74} +(-31.6266 + 12.4813i) q^{75} +(-7.10235 - 67.3692i) q^{76} +(44.3594 + 37.2220i) q^{77} +(83.6601 - 6.65120i) q^{78} +(24.4484 - 67.1713i) q^{79} +(-50.1416 + 31.3761i) q^{80} +(-78.6437 - 19.3952i) q^{81} +(-100.659 - 75.8267i) q^{82} +(-8.25600 + 22.6832i) q^{83} +(23.4075 - 36.8198i) q^{84} +(-28.2385 - 23.6950i) q^{85} +(2.36413 + 2.53442i) q^{86} +(-49.3029 + 19.4572i) q^{87} +(120.452 - 41.5389i) q^{88} +(-29.6464 - 51.3491i) q^{89} +(18.4334 + 63.9388i) q^{90} +(44.0427 + 25.4281i) q^{91} +(1.02202 + 2.09378i) q^{92} +(2.29689 + 85.6284i) q^{93} +(-47.0260 + 153.902i) q^{94} +(21.4132 + 58.8324i) q^{95} +(-42.9577 - 85.8524i) q^{96} +(13.3273 + 75.5830i) q^{97} +(-65.8678 + 27.9715i) q^{98} +(-7.68436 - 143.134i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

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