LMFDB - Embedded newform 108.3.j.a.31.3

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			31.3
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.91270 + 0.584441i) q^{2} +(2.24560 - 1.98929i) q^{3} +(3.31686 - 2.23572i) q^{4} +(0.641948 - 3.64067i) q^{5} +(-3.13254 + 5.11734i) q^{6} +(-2.33709 - 2.78523i) q^{7} +(-5.03752 + 6.21478i) q^{8} +(1.08543 - 8.93431i) q^{9} +O(q^{10})$	\(q+(-1.91270 + 0.584441i) q^{2} +(2.24560 - 1.98929i) q^{3} +(3.31686 - 2.23572i) q^{4} +(0.641948 - 3.64067i) q^{5} +(-3.13254 + 5.11734i) q^{6} +(-2.33709 - 2.78523i) q^{7} +(-5.03752 + 6.21478i) q^{8} +(1.08543 - 8.93431i) q^{9} +(0.899899 + 7.33869i) q^{10} +(-15.6847 + 2.76563i) q^{11} +(3.00083 - 11.6187i) q^{12} +(13.1438 - 4.78396i) q^{13} +(6.09796 + 3.96143i) q^{14} +(-5.80079 - 9.45250i) q^{15} +(6.00310 - 14.8311i) q^{16} +(4.98573 - 8.63554i) q^{17} +(3.14546 + 17.7230i) q^{18} +(14.6667 - 8.46782i) q^{19} +(-6.01027 - 13.5108i) q^{20} +(-10.7888 - 1.60537i) q^{21} +(28.3838 - 14.4566i) q^{22} +(-0.374408 + 0.446202i) q^{23} +(1.05077 + 23.9770i) 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} +(16.6196 + 14.6896i) q^{30} +(-18.3535 + 21.8729i) q^{31} +(-2.81422 + 31.8760i) q^{32} +(-29.7199 + 37.4119i) q^{33} +(-4.48926 + 19.4311i) q^{34} +(-11.6404 + 6.72059i) q^{35} +(-16.3744 - 32.0606i) q^{36} +(-31.7620 + 55.0133i) q^{37} +(-23.1041 + 24.7682i) q^{38} +(19.9990 - 36.8897i) q^{39} +(19.3921 + 22.3295i) q^{40} +(59.2116 - 21.5512i) q^{41} +(21.5740 - 3.23483i) q^{42} +(1.70662 - 0.300923i) q^{43} +(-45.8407 + 44.2398i) q^{44} +(-31.8300 - 9.68705i) q^{45} +(0.455352 - 1.07227i) q^{46} +(51.7208 + 61.6385i) q^{47} +(-16.0229 - 45.2467i) q^{48} +(6.21322 - 35.2369i) q^{49} +(-22.6357 - 1.18988i) q^{50} +(-5.98266 - 29.3100i) q^{51} +(32.9006 - 45.2536i) q^{52} -66.4040 q^{53} +(42.3198 + 33.5416i) q^{54} +58.8781i q^{55} +(29.0827 - 0.493825i) q^{56} +(16.0905 - 48.1917i) q^{57} +(-35.2869 - 1.85491i) q^{58} +(65.4349 + 11.5379i) q^{59} +(-40.3736 - 18.3836i) q^{60} +(5.43023 - 4.55650i) q^{61} +(22.3215 - 52.5629i) q^{62} +(-27.4209 + 17.8571i) q^{63} +(-13.2469 - 62.6141i) q^{64} +(-8.97915 - 50.9233i) q^{65} +(34.9802 - 88.9274i) q^{66} +(-12.7838 - 35.1231i) q^{67} +(-2.76970 - 39.7896i) q^{68} +(0.0468560 + 1.74680i) q^{69} +(18.3368 - 19.6576i) q^{70} +(12.7937 + 7.38644i) q^{71} +(50.0568 + 51.7524i) q^{72} +(66.1544 + 114.583i) q^{73} +(28.5991 - 123.787i) q^{74} +(31.6266 - 12.4813i) q^{75} +(29.7156 - 60.8772i) q^{76} +(44.3594 + 37.2220i) q^{77} +(-16.6924 + 82.2473i) 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} +(-39.3741 + 18.7960i) q^{84} +(-28.2385 - 23.6950i) q^{85} +(-3.08838 + 1.57299i) q^{86} +(49.3029 - 19.4572i) q^{87} +(61.8241 - 111.409i) q^{88} +(-29.6464 - 51.3491i) q^{89} +(66.5429 - 0.0743228i) q^{90} +(-44.0427 - 25.4281i) q^{91} +(-0.244274 + 2.31706i) q^{92} +(2.29689 + 85.6284i) q^{93} +(-134.951 - 87.6683i) q^{94} +(-21.4132 - 58.8324i) q^{95} +(57.0911 + 77.1790i) q^{96} +(13.3273 + 75.5830i) q^{97} +(8.70984 + 71.0289i) 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 $

$2$	−1.91270	+	0.584441i	−0.956351	+	0.292220i
$2$	−1.91270	+	0.584441i	−0.956351	+	0.292220i
$3$	2.24560	−	1.98929i	0.748533	−	0.663097i
$3$	2.24560	−	1.98929i	0.748533	−	0.663097i
$4$	3.31686	−	2.23572i	0.829215	−	0.558930i
$5$	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	$-0.0649781\pi$
$6$	−3.13254	+	5.11734i	−0.522090	+	0.852891i
$7$	−2.33709	−	2.78523i	−0.333870	−	0.397891i	0.572825	−	0.819678i	$-0.305847\pi$
$7$	−2.33709	−	2.78523i	−0.333870	−	0.397891i	−0.906695	+	0.421787i	$0.861403\pi$
$8$	−5.03752	+	6.21478i	−0.629689	+	0.776847i
$9$	1.08543	−	8.93431i	0.120604	−	0.992701i
$10$	0.899899	+	7.33869i	0.0899899	+	0.733869i
$11$	−15.6847	+	2.76563i	−1.42588	+	0.251421i	−0.832734	−	0.553673i	$-0.813226\pi$
$11$	−15.6847	+	2.76563i	−1.42588	+	0.251421i	−0.593147	+	0.805094i	$0.702115\pi$
$12$	3.00083	−	11.6187i	0.250069	−	0.968228i
$13$	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	$0.208078\pi$
$14$	6.09796	+	3.96143i	0.435568	+	0.282960i
$15$	−5.80079	−	9.45250i	−0.386719	−	0.630167i
$16$	6.00310	−	14.8311i	0.375194	−	0.926946i
$17$	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	$0.0719204\pi$
$18$	3.14546	+	17.7230i	0.174748	+	0.984613i
$19$	14.6667	−	8.46782i	0.771931	−	0.445675i	−0.0616321	−	0.998099i	$-0.519631\pi$
$19$	14.6667	−	8.46782i	0.771931	−	0.445675i	0.833563	+	0.552424i	$0.186297\pi$
$20$	−6.01027	−	13.5108i	−0.300513	−	0.675539i
$21$	−10.7888	−	1.60537i	−0.513753	−	0.0764460i
$22$	28.3838	−	14.4566i	1.29017	−	0.657118i
$23$	−0.374408	+	0.446202i	−0.0162786	+	0.0194001i	−0.774122	−	0.633036i	$-0.781808\pi$
$23$	−0.374408	+	0.446202i	−0.0162786	+	0.0194001i	0.757844	+	0.652436i	$0.226253\pi$
$24$	1.05077	+	23.9770i	0.0437819	+	0.999041i
$25$	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	$0.512583\pi$
$30$	16.6196	+	14.6896i	0.553987	+	0.489653i
$31$	−18.3535	+	21.8729i	−0.592050	+	0.705578i	−0.975999	−	0.217777i	$-0.930120\pi$
$31$	−18.3535	+	21.8729i	−0.592050	+	0.705578i	0.383949	+	0.923354i	$0.374564\pi$
$32$	−2.81422	+	31.8760i	−0.0879442	+	0.996125i
$33$	−29.7199	+	37.4119i	−0.900602	+	1.13369i
$34$	−4.48926	+	19.4311i	−0.132037	+	0.571503i
$35$	−11.6404	+	6.72059i	−0.332583	+	0.192017i
$36$	−16.3744	−	32.0606i	−0.454844	−	0.890571i
$37$	−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	$0.838106\pi$
$38$	−23.1041	+	24.7682i	−0.608002	+	0.651795i
$39$	19.9990	−	36.8897i	0.512796	−	0.945891i
$40$	19.3921	+	22.3295i	0.484803	+	0.558237i
$41$	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	$0.109925\pi$
$42$	21.5740	−	3.23483i	0.513667	−	0.0770198i
$43$	1.70662	−	0.300923i	0.0396888	−	0.00699821i	−0.153769	−	0.988107i	$-0.549141\pi$
$43$	1.70662	−	0.300923i	0.0396888	−	0.00699821i	0.193457	+	0.981109i	$0.438030\pi$
$44$	−45.8407	+	44.2398i	−1.04183	+	1.00545i
$45$	−31.8300	−	9.68705i	−0.707334	−	0.215268i
$46$	0.455352	−	1.07227i	0.00989895	−	0.0233102i
$47$	51.7208	+	61.6385i	1.10044	+	1.31146i	0.946257	+	0.323415i	$0.104831\pi$
$47$	51.7208	+	61.6385i	1.10044	+	1.31146i	0.154185	+	0.988042i	$0.450725\pi$
$48$	−16.0229	−	45.2467i	−0.333811	−	0.942640i
$49$	6.21322	−	35.2369i	0.126800	−	0.719120i
$50$	−22.6357	−	1.18988i	−0.452713	−	0.0237976i
$51$	−5.98266	−	29.3100i	−0.117307	−	0.574707i
$52$	32.9006	−	45.2536i	0.632703	−	0.870262i
$53$	−66.4040			−1.25290			−0.626452	−	0.779460i	$-0.715494\pi$
$53$	−66.4040			−1.25290			−0.626452	+	0.779460i	$0.715494\pi$
$54$	42.3198	+	33.5416i	0.783699	+	0.621141i
$55$			58.8781i			1.07051i
$56$	29.0827	−	0.493825i	0.519334	−	0.00881830i
$57$	16.0905	−	48.1917i	0.282290	−	0.845468i
$58$	−35.2869	−	1.85491i	−0.608394	−	0.0319812i
$59$	65.4349	+	11.5379i	1.10907	+	0.195558i	0.698035	−	0.716063i	$-0.254058\pi$
$59$	65.4349	+	11.5379i	1.10907	+	0.195558i	0.411031	+	0.911622i	$0.365169\pi$
$60$	−40.3736	−	18.3836i	−0.672893	−	0.306394i
$61$	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	$0.259272\pi$
$62$	22.3215	−	52.5629i	0.360023	−	0.847789i
$63$	−27.4209	+	17.8571i	−0.435252	+	0.283446i
$64$	−13.2469	−	62.6141i	−0.206983	−	0.978345i
$65$	−8.97915	−	50.9233i	−0.138141	−	0.783435i
$66$	34.9802	−	88.9274i	0.530003	−	1.34738i
$67$	−12.7838	−	35.1231i	−0.190803	−	0.524226i	0.806995	−	0.590558i	$-0.201092\pi$
$67$	−12.7838	−	35.1231i	−0.190803	−	0.524226i	−0.997798	+	0.0663325i	$0.978870\pi$
$68$	−2.76970	−	39.7896i	−0.0407309	−	0.585141i
$69$	0.0468560	+	1.74680i	0.000679073	+	0.0253159i
$70$	18.3368	−	19.6576i	0.261955	−	0.280823i
$71$	12.7937	+	7.38644i	0.180193	+	0.104034i	0.587383	−	0.809309i	$-0.300158\pi$
$71$	12.7937	+	7.38644i	0.180193	+	0.104034i	−0.407190	+	0.913343i	$0.633491\pi$
$72$	50.0568	+	51.7524i	0.695234	+	0.718784i
$73$	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	$0.472285\pi$
$74$	28.5991	−	123.787i	0.386475	−	1.67280i
$75$	31.6266	−	12.4813i	0.421688	−	0.166418i
$76$	29.7156	−	60.8772i	0.390995	−	0.801016i
$77$	44.3594	+	37.2220i	0.576097	+	0.483403i
$78$	−16.6924	+	82.2473i	−0.214005	+	1.05445i
$79$	−24.4484	+	67.1713i	−0.309473	+	0.850270i	0.683287	+	0.730150i	$0.260550\pi$
$79$	−24.4484	+	67.1713i	−0.309473	+	0.850270i	−0.992759	+	0.120119i	$0.961672\pi$
$80$	−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	−0.879969	−	0.475030i	$-0.842437\pi$
$83$	8.25600	−	22.6832i	0.0994699	−	0.273291i	0.979439	+	0.201739i	$0.0646593\pi$
$84$	−39.3741	+	18.7960i	−0.468739	+	0.223762i
$85$	−28.2385	−	23.6950i	−0.332218	−	0.278764i
$86$	−3.08838	+	1.57299i	−0.0359114	+	0.0182906i
$87$	49.3029	−	19.4572i	0.566700	−	0.223647i
$88$	61.8241	−	111.409i	0.702546	−	1.26601i
$89$	−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	$0.941430\pi$
$90$	66.5429	−	0.0743228i	0.739365	−	0.000825809i
$91$	−44.0427	−	25.4281i	−0.483986	−	0.279429i
$92$	−0.244274	+	2.31706i	−0.00265516	+	0.0251854i
$93$	2.29689	+	85.6284i	0.0246978	+	0.920735i
$94$	−134.951	−	87.6683i	−1.43564	−	0.932641i
$95$	−21.4132	−	58.8324i	−0.225403	−	0.619289i
$96$	57.0911	+	77.1790i	0.594699	+	0.803948i
$97$	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	$0.814976\pi$
$98$	8.70984	+	71.0289i	0.0888760	+	0.724785i
$99$	7.68436	+	143.134i	0.0776198	+	1.44580i
$100$	43.9907	−	10.9533i	0.439907	−	0.109533i
$101$	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	$0.141616\pi$
$102$	28.5730	+	52.5649i	0.280128	+	0.515342i
$103$	−165.931	−	29.2582i	−1.61098	−	0.284060i	−0.705586	−	0.708624i	$-0.749316\pi$
$103$	−165.931	−	29.2582i	−1.61098	−	0.284060i	−0.905398	+	0.424564i	$0.860427\pi$
$104$	−36.4809	+	105.785i	−0.350778	+	1.01716i
$105$	−12.7705	+	38.2479i	−0.121623	+	0.364266i
$106$	127.011	−	38.8092i	1.19822	−	0.366124i
$107$		−	19.6793i		−	0.183919i	−0.995763	−	0.0919593i	$-0.970687\pi$
$107$		−	19.6793i		−	0.183919i	0.995763	−	0.0919593i	$-0.0293130\pi$
$108$	−100.548	−	39.4217i	−0.931001	−	0.365016i
$109$	−98.5660			−0.904275			−0.452137	−	0.891948i	$-0.649338\pi$
$109$	−98.5660			−0.904275			−0.452137	+	0.891948i	$0.649338\pi$
$110$	−34.4108	−	112.616i	−0.312825	−	1.02378i
$111$	38.1130	+	186.722i	0.343360	+	1.68218i
$112$	−55.3380	+	17.9417i	−0.494089	+	0.160193i
$113$	−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	$0.787488\pi$
$114$	−2.61125	+	101.580i	−0.0229057	+	0.891055i
$115$	1.38412	+	1.64953i	0.0120358	+	0.0143437i
$116$	68.5774	−	17.0752i	0.591184	−	0.147200i
$117$	−28.4746	−	122.623i	−0.243373	−	1.04806i
$118$	−131.901	+	16.1742i	−1.11780	+	0.137069i
$119$	−35.7041	+	6.29560i	−0.300035	+	0.0529042i
$120$	87.9667	+	11.5665i	0.733056	+	0.0963873i
$121$	124.658	−	45.3718i	1.03023	−	0.374973i
$122$	−7.72340	+	11.8889i	−0.0633066	+	0.0974498i
$123$	90.0937	−	166.185i	0.732469	−	1.35109i
$124$	−11.9744	+	113.583i	−0.0965676	+	0.915990i
$125$	67.1593	−	116.323i	0.537274	−	0.930586i
$126$	42.0116	−	50.1812i	0.333425	−	0.398263i
$127$	174.605	−	100.808i	1.37484	−	0.793765i	0.383308	−	0.923621i	$-0.374785\pi$
$127$	174.605	−	100.808i	1.37484	−	0.793765i	0.991533	+	0.129856i	$0.0414515\pi$
$128$	61.9315	+	112.020i	0.483840	+	0.875156i
$129$	3.23376	−	4.07072i	0.0250679	−	0.0315559i
$130$	46.9361	+	92.1533i	0.361047	+	0.708871i
$131$	143.553	−	171.080i	1.09582	−	1.30595i	0.147355	−	0.989084i	$-0.452924\pi$
$131$	143.553	−	171.080i	1.09582	−	1.30595i	0.948469	−	0.316869i	$-0.102631\pi$
$132$	−14.9339	+	190.535i	−0.113136	+	1.44345i
$133$	−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	$0.869338\pi$
$138$	−1.11052	−	3.31372i	−0.00804725	−	0.0240124i
$139$	89.3311	−	106.461i	0.642670	−	0.765904i	−0.342120	−	0.939656i	$-0.611145\pi$
$139$	89.3311	−	106.461i	0.642670	−	0.765904i	0.984789	+	0.173753i	$0.0555893\pi$
$140$	−23.5842	+	48.3159i	−0.168458	+	0.345114i
$141$	238.761	+	35.5275i	1.69334	+	0.251968i
$142$	−28.7875	−	6.65091i	−0.202729	−	0.0468374i
$143$	−192.926	+	111.386i	−1.34913	+	0.778922i
$144$	−125.990	−	69.7317i	−0.874931	−	0.484248i
$145$	32.6574	−	56.5643i	0.225224	−	0.390099i
$146$	−193.500	−	180.499i	−1.32535	−	1.23630i
$147$	−56.1441	−	91.4879i	−0.381933	−	0.622366i
$148$	17.6446	+	253.482i	0.119220	+	1.71272i
$149$	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	$0.387064\pi$
$150$	−53.1976	+	42.3570i	−0.354651	+	0.282380i
$151$	−110.653	+	19.5112i	−0.732803	+	0.129213i	−0.527584	−	0.849503i	$-0.676902\pi$
$151$	−110.653	+	19.5112i	−0.732803	+	0.129213i	−0.205220	+	0.978716i	$0.565791\pi$
$152$	−21.2581	+	133.807i	−0.139856	+	0.880309i
$153$	−71.7409	−	53.9174i	−0.468895	−	0.352401i
$154$	−106.600	−	45.2691i	−0.692211	−	0.293955i
$155$	67.8499	+	80.8604i	0.437741	+	0.521680i
$156$	−16.1412	−	167.070i	−0.103469	−	1.07096i
$157$	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	$0.0524724\pi$
$158$	7.50478	−	142.767i	0.0474986	−	0.903590i
$159$	−149.117	+	132.097i	−0.937841	+	0.830798i
$160$	114.243	+	30.7083i	0.714021	+	0.191927i
$161$	2.11780			0.0131540
$162$	161.757	−	8.86540i	0.998501	−	0.0547247i
$163$		−	39.7924i		−	0.244125i	−0.992522	−	0.122063i	$-0.961049\pi$
$163$		−	39.7924i		−	0.244125i	0.992522	−	0.122063i	$-0.0389509\pi$
$164$	148.214	−	203.863i	0.903742	−	1.24307i
$165$	117.126	+	132.217i	0.709853	+	0.801313i
$166$	−2.53430	+	48.2113i	−0.0152669	+	0.290430i
$167$	−19.4582	−	3.43101i	−0.116516	−	0.0205449i	0.115086	−	0.993356i	$-0.463286\pi$
$167$	−19.4582	−	3.43101i	−0.116516	−	0.0205449i	−0.231602	+	0.972811i	$0.574397\pi$
$168$	64.3258	−	58.9630i	0.382892	−	0.350970i
$169$	20.4120	−	17.1277i	0.120781	−	0.101347i
$170$	67.8602	+	28.8176i	0.399178	+	0.169516i
$171$	−59.7344	−	140.228i	−0.349324	−	0.820046i
$172$	4.98783	−	4.81364i	0.0289990	−	0.0279863i
$173$	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	$0.813824\pi$
$174$	−82.9301	+	66.0305i	−0.476610	+	0.379486i
$175$	−14.0936	−	38.7218i	−0.0805348	−	0.221268i
$176$	−53.1392	+	249.224i	−0.301927	+	1.41605i
$177$	169.893	−	104.260i	0.959847	−	0.589037i
$178$	86.7153	+	80.8890i	0.487165	+	0.454433i
$179$	−159.768	−	92.2423i	−0.892560	−	0.515320i	−0.0177813	−	0.999842i	$-0.505660\pi$
$179$	−159.768	−	92.2423i	−0.892560	−	0.515320i	−0.874779	+	0.484522i	$0.838994\pi$
$180$	−127.233	+	39.0325i	−0.706852	+	0.216847i
$181$	−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	$0.915222\pi$
$182$	99.1017	+	22.8960i	0.544515	+	0.125802i
$183$	3.12990	−	21.0344i	0.0171033	−	0.114942i
$184$	−0.886959	−	4.57461i	−0.00482043	−	0.0248620i
$185$	179.896	+	150.950i	0.972409	+	0.815948i
$186$	−54.4380	−	162.439i	−0.292677	−	0.873329i
$187$	−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	−0.874404	−	0.485199i	$-0.838747\pi$
$191$	20.4959	−	56.3120i	0.107308	−	0.294827i	0.981712	+	0.190372i	$0.0609693\pi$
$192$	−154.305	−	114.254i	−0.803671	−	0.595074i
$193$	−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	$0.982170\pi$
$194$	−69.6650	−	136.779i	−0.359098	−	0.705045i
$195$	−121.465	−	96.4911i	−0.622897	−	0.494826i
$196$	−58.1715	−	130.767i	−0.296794	−	0.667178i
$197$	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	$0.808828\pi$
$198$	−98.3511	−	269.281i	−0.496722	−	1.36001i
$199$	205.095	+	118.412i	1.03063	+	0.595033i	0.917164	−	0.398510i	$-0.130472\pi$
$199$	205.095	+	118.412i	1.03063	+	0.595033i	0.113463	+	0.993542i	$0.463806\pi$
$200$	−77.7395	+	46.6604i	−0.388698	+	0.233302i
$201$	−98.5774	−	53.4418i	−0.490435	−	0.265880i
$202$	−91.3006	+	140.542i	−0.451983	+	0.695752i
$203$	−21.9706	−	60.3637i	−0.108230	−	0.297358i
$204$	−85.3728	−	83.8417i	−0.418494	−	0.410989i
$205$	−40.4502	−	229.404i	−0.197318	−	1.11905i
$206$	334.477	−	41.0149i	1.62367	−	0.199101i
$207$	3.58011	+	3.82939i	0.0172952	+	0.0184995i
$208$	7.95205	−	223.656i	0.0382310	−	1.07527i
$209$	−206.624	+	173.378i	−0.988629	+	0.829559i
$210$	2.07245	−	80.6204i	0.00986882	−	0.383907i
$211$	−88.9172	−	15.6785i	−0.421408	−	0.0743057i	−0.0410771	−	0.999156i	$-0.513079\pi$
$211$	−88.9172	−	15.6785i	−0.421408	−	0.0743057i	−0.380331	+	0.924850i	$0.624190\pi$
$212$	−220.252	+	148.461i	−1.03893	+	0.700287i
$213$	43.4233	−	8.86341i	0.203865	−	0.0416122i
$214$	11.5014	+	37.6406i	0.0537448	+	0.175891i
$215$		−	6.40641i		−	0.0297972i
$216$	215.358	+	16.6375i	0.997029	+	0.0770255i
$217$	103.815			0.478410
$218$	188.527	−	57.6060i	0.864804	−	0.264247i
$219$	376.495	+	125.707i	1.71915	+	0.574002i
$220$	131.635	+	195.290i	0.598341	+	0.887683i
$221$	24.2195	−	137.355i	0.109590	−	0.621518i
$222$	−182.027	−	334.868i	−0.819939	−	1.50842i
$223$	217.859	+	259.634i	0.976944	+	1.16428i	0.986407	+	0.164322i	$0.0525436\pi$
$223$	217.859	+	259.634i	0.976944	+	1.16428i	−0.00946232	+	0.999955i	$0.503012\pi$
$224$	95.3592	−	66.6588i	0.425711	−	0.297584i
$225$	46.1916	−	90.9426i	0.205296	−	0.404189i
$226$	−41.0449	−	334.722i	−0.181615	−	1.48107i
$227$	−234.651	+	41.3753i	−1.03371	+	0.182270i	−0.664664	−	0.747143i	$-0.731425\pi$
$227$	−234.651	+	41.3753i	−1.03371	+	0.182270i	−0.369042	+	0.929413i	$0.620314\pi$
$228$	−54.3731	−	195.819i	−0.238478	−	0.858855i
$229$	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	$0.272750\pi$
$230$	−3.61146	−	2.34612i	−0.0157020	−	0.0102005i
$231$	173.659	−	4.65822i	0.751770	−	0.0201655i
$232$	−121.189	+	72.7392i	−0.522365	+	0.313531i
$233$	−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	$0.268025\pi$
$234$	126.130	+	217.900i	0.539015	+	0.931199i
$235$	257.607	−	148.730i	1.09620	−	0.632892i
$236$	242.834	−	108.025i	1.02896	−	0.457731i
$237$	78.7221	+	199.475i	0.332161	+	0.841666i
$238$	64.6119	−	32.9085i	0.271479	−	0.138271i
$239$	−93.1529	+	111.015i	−0.389761	+	0.464499i	−0.924870	−	0.380284i	$-0.875826\pi$
$239$	−93.1529	+	111.015i	−0.389761	+	0.464499i	0.535109	+	0.844783i	$0.320271\pi$
$240$	−175.014	+	29.2881i	−0.729225	+	0.122034i
$241$	−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
$246$	−75.1974	+	370.516i	−0.305680	+	1.50616i
$247$	152.267	−	181.464i	0.616464	−	0.734673i
$248$	−43.4789	−	224.248i	−0.175318	−	0.904227i
$249$	−26.5838	−	67.3610i	−0.106762	−	0.270526i
$250$	−60.4716	+	261.742i	−0.241887	+	1.04697i
$251$	41.5537	−	23.9911i	0.165553	−	0.0955819i	−0.414934	−	0.909851i	$-0.636195\pi$
$251$	41.5537	−	23.9911i	0.165553	−	0.0955819i	0.580487	+	0.814269i	$0.302862\pi$
$252$	−51.0277	+	120.535i	−0.202491	+	0.478313i
$253$	4.63844	−	8.03401i	0.0183337	−	0.0317550i
$254$	−275.051	+	294.862i	−1.08288	+	1.16087i
$255$	−110.549	+	2.96535i	−0.433524	+	0.0116288i
$256$	−183.926	−	178.066i	−0.718459	−	0.695569i
$257$	−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	$0.584510\pi$
$258$	−3.80612	+	9.67601i	−0.0147524	+	0.0375039i
$259$	227.456	−	40.1065i	0.878207	−	0.154852i
$260$	−143.633	−	148.830i	−0.552434	−	0.572425i
$261$	72.0084	−	141.771i	0.275894	−	0.543184i
$262$	−174.588	+	411.123i	−0.666367	+	1.56917i
$263$	332.363	+	396.095i	1.26374	+	1.50606i	0.772466	+	0.635056i	$0.219023\pi$
$263$	332.363	+	396.095i	1.26374	+	1.50606i	0.491270	+	0.871007i	$0.336533\pi$
$264$	−82.7925	−	373.166i	−0.313608	−	1.41351i
$265$	−42.6279	+	241.755i	−0.160860	+	0.912282i
$266$	122.982	+	6.46471i	0.462337	+	0.0243034i
$267$	−168.722	−	56.3341i	−0.631919	−	0.210989i
$268$	−120.927	−	87.9175i	−0.451222	−	0.328050i
$269$	128.175			0.476485			0.238243	−	0.971206i	$-0.423429\pi$
$269$	128.175			0.476485			0.238243	+	0.971206i	$0.423429\pi$
$270$	149.281	−	132.540i	0.552892	−	0.490889i
$271$			105.053i			0.387649i	0.981036	+	0.193824i	$0.0620892\pi$
$271$			105.053i			0.387649i	−0.981036	+	0.193824i	$0.937911\pi$
$272$	−98.1451	−	125.784i	−0.360828	−	0.462442i
$273$	−149.486	+	30.5126i	−0.547568	+	0.111768i
$274$	396.831	+	20.8600i	1.44829	+	0.0761314i
$275$	−177.762	−	31.3442i	−0.646406	−	0.113979i
$276$	4.06076	+	5.68912i	0.0147129	+	0.0206127i
$277$	−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	$0.547285\pi$
$278$	−108.644	+	255.836i	−0.390805	+	0.920274i
$279$	175.498	+	187.718i	0.629024	+	0.672824i
$280$	16.8717	−	106.198i	0.0602562	−	0.379277i
$281$	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	$0.690288\pi$
$282$	−477.443	+	71.5882i	−1.69306	+	0.253859i
$283$	88.9908	+	244.500i	0.314455	+	0.863958i	0.991743	+	0.128240i	$0.0409328\pi$
$283$	88.9908	+	244.500i	0.314455	+	0.863958i	−0.677288	+	0.735718i	$0.736845\pi$
$284$	58.9489	−	4.10335i	0.207567	−	0.0144484i
$285$	−165.120	−	89.5168i	−0.579370	−	0.314094i
$286$	303.911	−	325.802i	1.06263	−	1.13917i
$287$	−198.408	−	114.551i	−0.691317	−	0.399132i
$288$	281.735	+	59.7423i	0.978248	+	0.207439i
$289$	94.7849	+	164.172i	0.327976	+	0.568070i
$290$	−29.4054	+	127.277i	−0.101398	+	0.438886i
$291$	180.285	+	143.217i	0.619534	+	0.492155i
$292$	475.600	+	232.152i	1.62877	+	0.795041i
$293$	−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	$0.830990\pi$
$294$	160.856	+	142.176i	0.547130	+	0.483592i
$295$	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
$300$	76.9961	−	112.107i	0.256654	−	0.373690i
$301$	−4.82666	−	4.05005i	−0.0160354	−	0.0134553i
$302$	200.244	−	101.989i	0.663059	−	0.337713i
$303$	36.9995	−	248.654i	0.122110	−	0.820639i
$304$	−37.5418	−	268.357i	−0.123493	−	0.882753i
$305$	−13.1028	−	22.6947i	−0.0429599	−	0.0744088i
$306$	168.730	+	61.1995i	0.551407	+	0.199999i
$307$	−170.588	−	98.4890i	−0.555661	−	0.320811i	0.195741	−	0.980656i	$-0.437289\pi$
$307$	−170.588	−	98.4890i	−0.555661	−	0.320811i	−0.751402	+	0.659845i	$0.770622\pi$
$308$	230.352	+	24.2847i	0.747896	+	0.0788465i
$309$	−430.818	+	264.384i	−1.39423	+	0.855611i
$310$	−177.035	−	115.008i	−0.571080	−	0.370992i
$311$	−9.51663	−	26.1467i	−0.0306001	−	0.0840731i	0.923452	−	0.383714i	$-0.125355\pi$
$311$	−9.51663	−	26.1467i	−0.0306001	−	0.0840731i	−0.954052	+	0.299641i	$0.903133\pi$
$312$	128.516	+	310.122i	0.411910	+	0.993981i
$313$	−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	$-0.230359\pi$
$314$	0.740346	+	6.03754i	0.00235779	+	0.0192278i
$315$	47.4089	+	111.294i	0.150505	+	0.353313i
$316$	69.0846	+	277.457i	0.218622	+	0.878030i
$317$	−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	$0.327311\pi$
$318$	208.013	−	339.812i	0.654129	−	1.06859i
$319$	−277.114	−	48.8627i	−0.868696	−	0.153174i
$320$	−236.461	+	8.03252i	−0.738940	+	0.0251016i
$321$	−39.1479	−	44.1918i	−0.121956	−	0.137669i
$322$	−4.05072	+	1.23773i	−0.0125799	+	0.00384388i
$323$		−	168.873i		−	0.522827i
$324$	−304.212	+	111.494i	−0.938926	+	0.344118i
$325$	158.525			0.487769
$326$	23.2563	+	76.1111i	0.0713384	+	0.233470i
$327$	−221.340	+	196.077i	−0.676880	+	0.599622i
$328$	−164.343	+	476.551i	−0.501046	+	1.45290i
$329$	50.8014	−	288.109i	0.154412	−	0.875712i
$330$	−301.299	−	184.438i	−0.913029	−	0.558903i
$331$	−227.814	−	271.498i	−0.688259	−	0.820235i	0.302885	−	0.953027i	$-0.402050\pi$
$331$	−227.814	−	271.498i	−0.688259	−	0.820235i	−0.991144	+	0.132792i	$0.957606\pi$
$332$	−23.3293	−	93.6950i	−0.0702689	−	0.282214i
$333$	457.031	+	343.484i	1.37246	+	1.03148i
$334$	39.2230	−	4.80967i	0.117434	−	0.0144002i
$335$	−136.078	+	23.9942i	−0.406203	+	0.0716246i
$336$	−88.5757	+	150.373i	−0.263618	+	0.447539i
$337$	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	$0.0498012\pi$
$338$	−29.0320	+	44.6898i	−0.0858934	+	0.132218i
$339$	264.578	+	431.134i	0.780465	+	1.27178i
$340$	−146.639	−	15.4593i	−0.431290	−	0.0454685i
$341$	227.377	−	393.829i	0.666795	−	1.15492i
$342$	196.209	+	233.303i	0.573710	+	0.682173i
$343$	−266.953	+	154.125i	−0.778288	+	0.449345i
$344$	−6.72695	+	12.1222i	−0.0195551	+	0.0352388i
$345$	6.38958	+	0.950765i	0.0185205	+	0.00275584i
$346$	−125.292	−	245.995i	−0.362115	−	0.710968i
$347$	173.802	−	207.129i	0.500871	−	0.596915i	−0.455077	−	0.890452i	$-0.650388\pi$
$347$	173.802	−	207.129i	0.500871	−	0.596915i	0.955947	+	0.293538i	$0.0948326\pi$
$348$	120.030	−	174.764i	0.344913	−	0.502197i
$349$	−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	$0.512097\pi$
$354$	−264.021	+	298.710i	−0.745822	+	0.843813i
$355$	35.1045	−	41.8359i	0.0988858	−	0.117847i
$356$	−213.135	−	104.037i	−0.598695	−	0.292238i
$357$	−67.6533	+	85.1633i	−0.189505	+	0.238553i
$358$	359.499	+	83.0569i	1.00419	+	0.232003i
$359$	220.356	−	127.223i	0.613806	−	0.354381i	−0.160648	−	0.987012i	$-0.551358\pi$
$359$	220.356	−	127.223i	0.613806	−	0.354381i	0.774453	+	0.632631i	$0.218025\pi$
$360$	220.547	−	149.018i	0.612631	−	0.413939i
$361$	−37.0922	+	64.2455i	−0.102748	+	0.177965i
$362$	134.703	+	125.652i	0.372107	+	0.347106i
$363$	189.674	−	349.868i	0.522518	−	0.963823i
$364$	−202.933	+	14.1259i	−0.557509	+	0.0388075i
$365$	459.625	−	167.290i	1.25925	−	0.458328i
$366$	6.30678	+	42.0617i	0.0172316	+	0.114923i
$367$	−558.823	+	98.5356i	−1.52268	+	0.268489i	−0.871485	−	0.490422i	$-0.836843\pi$
$367$	−558.823	+	98.5356i	−1.52268	+	0.268489i	−0.651194	+	0.758911i	$0.725732\pi$
$368$	4.37007	+	8.23148i	0.0118752	+	0.0223682i
$369$	−128.275	−	552.407i	−0.347630	−	1.49704i
$370$	−432.308	−	183.585i	−1.16840	−	0.496175i
$371$	155.192	+	184.951i	0.418307	+	0.498519i
$372$	199.060	+	278.882i	0.535107	+	0.749683i
$373$	−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	$0.892522\pi$
$374$	16.6734	−	317.186i	0.0445812	−	0.848091i
$375$	−80.5882	−	394.815i	−0.214902	−	1.05284i
$376$	−643.614	+	10.9286i	−1.71174	+	0.0290653i
$377$	247.126			0.655506
$378$	−5.48385	−	196.260i	−0.0145075	−	0.519207i
$379$		−	310.348i		−	0.818860i	−0.912342	−	0.409430i	$-0.865728\pi$
$379$		−	310.348i		−	0.818860i	0.912342	−	0.409430i	$-0.134272\pi$
$380$	−202.558	−	147.265i	−0.533046	−	0.387539i
$381$	191.556	−	573.715i	0.502770	−	1.50581i
$382$	−6.29152	+	119.687i	−0.0164699	+	0.313316i
$383$	223.698	+	39.4441i	0.584069	+	0.102987i	0.457872	−	0.889018i	$-0.348612\pi$
$383$	223.698	+	39.4441i	0.584069	+	0.102987i	0.126197	+	0.992005i	$0.459723\pi$
$384$	361.914	+	128.352i	0.942484	+	0.334250i
$385$	163.989	−	137.603i	0.425946	−	0.357411i
$386$	517.912	+	219.938i	1.34174	+	0.569786i
$387$	−0.836120	−	15.5741i	−0.00216052	−	0.0402431i
$388$	213.187	+	220.902i	0.549452	+	0.569335i
$389$	−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	$-0.187592\pi$
$390$	288.719	+	113.570i	0.740306	+	0.291205i
$391$	1.98650	+	5.45785i	0.00508055	+	0.0139587i
$392$	187.690	+	216.120i	0.478802	+	0.551327i
$393$	−17.9652	−	669.745i	−0.0457131	−	1.70419i
$394$	−44.3168	−	41.3392i	−0.112479	−	0.104922i
$395$	228.854	+	132.129i	0.579376	+	0.334503i
$396$	345.495	+	457.574i	0.872462	+	1.15549i
$397$	−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	$0.890375\pi$
$398$	−461.490	−	106.620i	−1.15952	−	0.267890i
$399$	−171.830	+	67.8123i	−0.430652	+	0.169956i
$400$	121.422	−	134.682i	0.303556	−	0.336704i
$401$	−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	$0.878624\pi$
$402$	219.783	+	44.6056i	0.546723	+	0.110959i
$403$	−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
$408$	212.293	+	110.469i	0.520326	+	0.270757i
$409$	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	$0.591374\pi$
$410$	211.442	+	415.141i	0.515713	+	1.01254i
$411$	−554.453	+	218.813i	−1.34903	+	0.532392i
$412$	−615.784	+	273.931i	−1.49462	+	0.664881i
$413$	−120.791	−	209.217i	−0.292473	−	0.506578i
$414$	−9.08573	−	5.23213i	−0.0219462	−	0.0126380i
$415$	−77.2820	−	44.6188i	−0.186222	−	0.107515i
$416$	115.504	+	432.435i	0.277654	+	1.03951i
$417$	−11.1795	−	416.774i	−0.0268094	−	0.999457i
$418$	293.880	−	452.379i	0.703063	−	1.08225i
$419$	87.2276	+	239.656i	0.208180	+	0.571971i	0.999207	−	0.0398104i	$-0.0126754\pi$
$419$	87.2276	+	239.656i	0.208180	+	0.571971i	−0.791027	+	0.611782i	$0.790453\pi$
$420$	43.1539	+	155.414i	0.102747	+	0.370033i
$421$	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	$0.684676\pi$
$422$	179.235	−	21.9785i	0.424728	−	0.0520818i
$423$	606.836	−	395.185i	1.43460	−	0.934244i
$424$	334.511	−	412.686i	0.788941	−	0.973315i
$425$	86.5716	−	72.6422i	0.203698	−	0.170923i
$426$	−77.8757	+	42.3314i	−0.182807	+	0.0993695i
$427$	−25.3818	−	4.47550i	−0.0594422	−	0.0104813i
$428$	−43.9974	−	65.2734i	−0.102798	−	0.152508i
$429$	−211.655	+	633.914i	−0.493369	+	1.47765i
$430$	3.74416	+	12.2535i	0.00870736	+	0.0284966i
$431$			309.004i			0.716947i	0.933540	+	0.358473i	$0.116703\pi$
$431$			309.004i			0.716947i	−0.933540	+	0.358473i	$0.883297\pi$
$432$	−421.640	+	94.0415i	−0.976018	+	0.217689i
$433$	271.919			0.627989			0.313994	−	0.949425i	$-0.398333\pi$
$433$	271.919			0.627989			0.313994	+	0.949425i	$0.398333\pi$
$434$	−198.567	+	60.6737i	−0.457528	+	0.139801i
$435$	−39.1875	−	191.986i	−0.0900861	−	0.441347i
$436$	−326.929	+	220.366i	−0.749838	+	0.505427i
$437$	−1.71297	+	9.71471i	−0.00391983	+	0.0222305i
$438$	−793.590	−	20.4003i	−1.81185	−	0.0465760i
$439$	100.848	+	120.186i	0.229723	+	0.273773i	0.868576	−	0.495555i	$-0.165035\pi$
$439$	100.848	+	120.186i	0.229723	+	0.273773i	−0.638853	+	0.769328i	$0.720591\pi$
$440$	−365.914	−	296.599i	−0.831623	−	0.674089i
$441$	−308.073	−	93.7580i	−0.698579	−	0.212603i
$442$	33.9515	+	276.875i	0.0768133	+	0.626414i
$443$	−254.933	+	44.9516i	−0.575470	+	0.101471i	−0.453806	−	0.891100i	$-0.649934\pi$
$443$	−254.933	+	44.9516i	−0.575470	+	0.101471i	−0.121664	+	0.992571i	$0.538823\pi$
$444$	543.873	+	534.120i	1.22494	+	1.20297i
$445$	−205.976	+	74.9693i	−0.462869	+	0.168470i
$446$	−568.439	−	369.277i	−1.27453	−	0.827975i
$447$	2.44303	−	4.50635i	0.00546538	−	0.0100813i
$448$	−143.436	+	183.230i	−0.320169	+	0.408996i
$449$	−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	$0.810685\pi$
$450$	−35.2002	+	200.942i	−0.0782227	+	0.446539i
$451$	−869.112	+	501.782i	−1.92708	+	1.11260i
$452$	274.132	+	616.235i	0.606486	+	1.36335i
$453$	−209.670	+	263.936i	−0.462847	+	0.582640i
$454$	424.636	−	216.278i	0.935323	−	0.476384i
$455$	−120.848	+	144.021i	−0.265600	+	0.316530i
$456$	218.444	+	342.765i	0.479044	+	0.751678i
$457$	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	$0.557593\pi$
$462$	−329.435	+	110.403i	−0.713064	+	0.238968i
$463$	40.7312	−	48.5415i	0.0879723	−	0.104841i	−0.720263	−	0.693702i	$-0.755979\pi$
$463$	40.7312	−	48.5415i	0.0879723	−	0.104841i	0.808235	+	0.588860i	$0.200423\pi$
$464$	189.286	−	209.956i	0.407944	−	0.452491i
$465$	313.219	+	46.6067i	0.673589	+	0.100229i
$466$	65.6820	−	284.295i	0.140949	−	0.610074i
$467$	162.795	−	93.9898i	0.348598	−	0.201263i	−0.315470	−	0.948936i	$-0.602162\pi$
$467$	162.795	−	93.9898i	0.348598	−	0.201263i	0.664067	+	0.747673i	$0.268829\pi$
$468$	−368.598	−	343.063i	−0.787603	−	0.733042i
$469$	−67.9493	+	117.692i	−0.144881	+	0.250942i
$470$	−405.802	+	435.031i	−0.863409	+	0.925599i
$471$	−4.77231	−	7.77657i	−0.0101323	−	0.0165108i
$472$	−401.335	+	348.541i	−0.850286	+	0.738434i
$473$	−25.9355	+	9.43977i	−0.0548320	+	0.0199572i
$474$	−267.153	−	335.527i	−0.563614	−	0.707864i
$475$	189.023	−	33.3299i	0.397944	−	0.0701682i
$476$	−104.350	+	100.706i	−0.219223	+	0.211567i
$477$	−72.0770	+	593.273i	−0.151105	+	1.24376i
$478$	113.292	−	266.781i	0.237012	−	0.558120i
$479$	−198.830	−	236.957i	−0.415094	−	0.494690i	0.517466	−	0.855704i	$-0.326875\pi$
$479$	−198.830	−	236.957i	−0.415094	−	0.494690i	−0.932561	+	0.361013i	$0.882431\pi$
$480$	317.633	−	158.305i	0.661735	−	0.329802i
$481$	−154.292	+	875.033i	−0.320773	+	1.81919i
$482$	163.764	+	8.60852i	0.339760	+	0.0178600i
$483$	4.75573	−	4.21292i	0.00984623	−	0.00872241i
$484$	312.034	−	429.192i	0.644698	−	0.886760i
$485$	283.728			0.585006
$486$	345.606	−	341.691i	0.711124	−	0.703067i
$487$		−	396.572i		−	0.814316i	−0.913358	−	0.407158i	$-0.866520\pi$
$487$		−	396.572i		−	0.814316i	0.913358	−	0.407158i	$-0.133480\pi$
$488$	0.962785	+	56.7011i	0.00197292	+	0.116191i
$489$	−79.1588	−	89.3579i	−0.161879	−	0.182736i
$490$	264.184	+	13.8872i	0.539151	+	0.0283413i
$491$	391.258	+	68.9894i	0.796860	+	0.140508i	0.557232	−	0.830357i	$-0.311863\pi$
$491$	391.258	+	68.9894i	0.796860	+	0.140508i	0.239628	+	0.970865i	$0.422975\pi$
$492$	−72.7144	−	752.635i	−0.147793	−	1.52975i
$493$	134.957	−	113.242i	0.273746	−	0.229701i
$494$	−185.185	+	436.078i	−0.374869	+	0.882748i
$495$	526.035	+	63.9082i	1.06270	+	0.129107i
$496$	214.222	+	403.509i	0.431899	+	0.813527i
$497$	−9.32703	−	52.8962i	−0.0187667	−	0.106431i
$498$	90.2154	+	113.305i	0.181155	+	0.227520i
$499$	254.967	+	700.517i	0.510956	+	1.40384i	0.880242	+	0.474525i	$0.157380\pi$
$499$	254.967	+	700.517i	0.510956	+	1.40384i	−0.369285	+	0.929316i	$0.620397\pi$
$500$	−37.3087	−	535.977i	−0.0746173	−	1.07195i
$501$	−50.5206	+	31.0034i	−0.100840	+	0.0618830i
$502$	−65.4586	+	70.1734i	−0.130396	+	0.139788i
$503$	36.9239	+	21.3180i	0.0734073	+	0.0423817i	0.536254	−	0.844056i	$-0.319839\pi$
$503$	36.9239	+	21.3180i	0.0734073	+	0.0423817i	−0.462847	+	0.886438i	$0.653172\pi$
$504$	27.1553	−	260.370i	0.0538796	−	0.516607i
$505$	−154.892	−	268.281i	−0.306717	−	0.531249i
$506$	−4.17655	+	18.0776i	−0.00825404	+	0.0357264i
$507$	11.7652	−	79.0675i	0.0232055	−	0.155952i
$508$	353.760	−	724.734i	0.696379	−	1.42664i
$509$	−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	$0.783798\pi$
$510$	209.714	−	70.2810i	0.411203	−	0.137806i
$511$	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
$516$	1.62493	−	20.7318i	0.00314909	−	0.0401779i
$517$	−981.694	−	823.739i	−1.89883	−	1.59331i
$518$	−411.615	+	209.646i	−0.794623	+	0.404722i
$519$	324.240	+	257.574i	0.624739	+	0.496290i
$520$	361.709	+	200.723i	0.695595	+	0.386006i
$521$	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	$0.832627\pi$
$522$	−54.8738	+	313.250i	−0.105122	+	0.600097i
$523$	358.549	+	207.008i	0.685562	+	0.395810i	0.801947	−	0.597395i	$-0.203797\pi$
$523$	358.549	+	207.008i	0.685562	+	0.395810i	−0.116385	+	0.993204i	$0.537131\pi$
$524$	93.6581	−	888.392i	0.178737	−	1.69540i
$525$	−108.678	−	58.9174i	−0.207005	−	0.112224i
$526$	−867.205	−	563.364i	−1.64868	−	1.07104i
$527$	97.3785	+	267.545i	0.184779	+	0.507676i
$528$	376.450	+	665.367i	0.712974	+	1.26017i
$529$	91.8010	+	520.629i	0.173537	+	0.984176i
$530$	−59.7568	−	487.318i	−0.112749	−	0.919468i
$531$	174.109	−	572.092i	0.327888	−	1.07739i
$532$	−239.005	+	59.5103i	−0.449258	+	0.111862i
$533$	675.165	−	566.531i	1.26673	−	1.06291i
$534$	355.640	+	9.14218i	0.665992	+	0.0171202i
$535$	−71.6457	−	12.6331i	−0.133917	−	0.0236132i
$536$	282.681	+	97.4850i	0.527390	+	0.181875i
$537$	−542.273	+	110.687i	−1.00982	+	0.206120i
$538$	−245.160	+	74.9104i	−0.455687	+	0.139239i
$539$			569.863i			1.05726i
$540$	−208.068	+	340.756i	−0.385311	+	0.631029i
$541$	−148.013			−0.273591			−0.136796	−	0.990599i	$-0.543680\pi$
$541$	−148.013			−0.273591			−0.136796	+	0.990599i	$0.543680\pi$
$542$	−61.3972	−	200.935i	−0.113279	−	0.370728i
$543$	−262.092	−	87.5089i	−0.482674	−	0.161158i
$544$	261.236	+	183.228i	0.480213	+	0.336815i
$545$	−63.2742	+	358.846i	−0.116099	+	0.658433i
$546$	268.090	−	145.727i	0.491007	−	0.266900i
$547$	−110.386	−	131.554i	−0.201803	−	0.240500i	0.655646	−	0.755069i	$-0.272397\pi$
$547$	−110.386	−	131.554i	−0.201803	−	0.240500i	−0.857449	+	0.514569i	$0.827952\pi$
$548$	−771.210	+	192.025i	−1.40732	+	0.350411i
$549$	−34.8150	−	53.4611i	−0.0634154	−	0.0973790i
$550$	358.324	−	43.9391i	0.651498	−	0.0798892i
$551$	294.670	−	51.9582i	0.534791	−	0.0942980i
$552$	−11.0920	−	8.50831i	−0.0200942	−	0.0154136i
$553$	244.226	−	88.8909i	0.441638	−	0.160743i
$554$	452.154	−	696.015i	0.816163	−	1.25634i
$555$	704.258	−	18.8910i	1.26893	−	0.0340378i
$556$	58.2822	−	552.834i	0.104824	−	0.994306i
$557$	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	$0.0752071\pi$
$558$	−445.385	−	256.480i	−0.798181	−	0.459642i
$559$	20.9919	−	12.1197i	0.0375525	−	0.0216810i
$560$	29.7955	+	212.985i	0.0532063	+	0.380330i
$561$	174.897	+	443.173i	0.311759	+	0.789970i
$562$	−365.393	−	717.405i	−0.650166	−	1.27652i
$563$	−699.739	+	833.916i	−1.24288	+	1.48120i	−0.425645	+	0.904890i	$0.639953\pi$
$563$	−699.739	+	833.916i	−1.24288	+	1.48120i	−0.817231	+	0.576311i	$0.804492\pi$
$564$	871.366	−	415.964i	1.54498	−	0.737525i
$565$	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	$0.632019\pi$
$570$	368.143	+	74.7159i	0.645866	+	0.131081i
$571$	270.128	−	321.926i	0.473078	−	0.563793i	−0.475752	−	0.879579i	$-0.657824\pi$
$571$	270.128	−	321.926i	0.473078	−	0.563793i	0.948830	+	0.315787i	$0.102268\pi$
$572$	−390.880	+	800.780i	−0.683357	+	1.39996i
$573$	−65.9955	−	167.227i	−0.115175	−	0.291844i
$574$	446.443	+	103.144i	0.777776	+	0.179693i
$575$	−5.71702	+	3.30073i	−0.00994265	+	0.00574039i
$576$	−573.792	+	50.3884i	−0.996166	+	0.0874799i
$577$	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	$-0.0547298\pi$
$578$	−277.244	−	258.617i	−0.479661	−	0.447433i
$579$	−843.712	+	22.6317i	−1.45719	+	0.0390876i
$580$	−18.1420	−	260.629i	−0.0312793	−	0.449360i
$581$	−82.4730	+	30.0177i	−0.141950	+	0.0516656i
$582$	−428.533	−	168.566i	−0.736310	−	0.289633i
$583$	1041.53	−	183.649i	1.78649	−	0.315007i
$584$	−1045.36	−	166.078i	−1.79000	−	0.284380i
$585$	−464.710	+	24.9487i	−0.794377	+	0.0426474i
$586$	361.486	+	153.509i	0.616871	+	0.261961i
$587$	−480.055	−	572.107i	−0.817810	−	0.974628i	0.182152	−	0.983270i	$-0.441694\pi$
$587$	−480.055	−	572.107i	−0.817810	−	0.974628i	−0.999963	+	0.00864185i	$0.997249\pi$
$588$	−390.763	−	177.930i	−0.664564	−	0.302602i
$589$	−83.9700	+	476.218i	−0.142564	+	0.808519i
$590$	−25.7886	+	490.589i	−0.0437094	+	0.831507i
$591$	86.2274	+	28.7902i	0.145901	+	0.0487143i
$592$	625.240	+	801.317i	1.05615	+	1.35358i
$593$	−534.250			−0.900927			−0.450463	−	0.892795i	$-0.648741\pi$
$593$	−534.250			−0.900927			−0.450463	+	0.892795i	$0.648741\pi$
$594$	−756.536	−	409.048i	−1.27363	−	0.688634i
$595$			134.028i			0.225257i
$596$	4.01904	−	5.52805i	0.00674336	−	0.00927526i
$597$	696.116	−	142.089i	1.16602	−	0.238004i
$598$	0.855367	−	16.2721i	0.00143038	−	0.0272109i
$599$	−709.697	−	125.139i	−1.18480	−	0.208913i	−0.453684	−	0.891163i	$-0.649890\pi$
$599$	−709.697	−	125.139i	−1.18480	−	0.208913i	−0.731119	+	0.682250i	$0.761001\pi$
$600$	−81.7506	+	259.427i	−0.136251	+	0.432378i
$601$	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	$0.211082\pi$
$602$	11.5990	+	4.92564i	0.0192674	+	0.00818213i
$603$	−327.677	+	76.0904i	−0.543411	+	0.126186i
$604$	−323.400	+	312.106i	−0.535430	+	0.516731i
$605$	−85.1596	−	482.964i	−0.140760	−	0.798288i
$606$	74.5544	+	497.225i	0.123027	+	0.820503i
$607$	131.884	+	362.349i	0.217272	+	0.596951i	0.999666	−	0.0258331i	$-0.00822386\pi$
$607$	131.884	+	362.349i	0.217272	+	0.596951i	−0.782394	+	0.622784i	$0.786002\pi$
$608$	228.645	+	491.346i	0.376061	+	0.808135i
$609$	−169.418	−	91.8468i	−0.278191	−	0.150816i
$610$	38.3254	+	35.7503i	0.0628285	+	0.0586071i
$611$	974.684	+	562.734i	1.59523	+	0.921005i
$612$	−358.499	−	18.4435i	−0.585782	−	0.0301365i
$613$	−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	$0.947020\pi$
$614$	383.845	+	88.6816i	0.625155	+	0.144433i
$615$	−547.187	−	434.683i	−0.889735	−	0.706801i
$616$	−454.788	+	88.1777i	−0.738292	+	0.143146i
$617$	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	$0.619338\pi$
$618$	669.511	−	757.475i	1.08335	−	1.22569i
$619$	−36.0407	+	99.0211i	−0.0582241	+	0.159969i	−0.965394	−	0.260794i	$-0.916016\pi$
$619$	−36.0407	+	99.0211i	−0.0582241	+	0.159969i	0.907170	+	0.420764i	$0.138238\pi$
$620$	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
$624$	−427.061	−	518.061i	−0.684392	−	0.830227i
$625$	−163.333	−	137.053i	−0.261333	−	0.219285i
$626$	296.594	+	582.327i	0.473793	+	0.930234i
$627$	−119.095	+	800.372i	−0.189944	+	1.27651i
$628$	−4.94464	−	11.1153i	−0.00787364	−	0.0176996i
$629$	316.713	+	548.564i	0.503519	+	0.872120i
$630$	−155.724	−	185.164i	−0.247180	−	0.293911i
$631$	528.383	+	305.062i	0.837374	+	0.483458i	0.856371	−	0.516362i	$-0.172714\pi$
$631$	528.383	+	305.062i	0.837374	+	0.483458i	−0.0189969	+	0.999820i	$0.506047\pi$
$632$	−294.296	−	490.317i	−0.465658	−	0.775819i
$633$	−230.861	+	141.675i	−0.364710	+	0.223815i
$634$	107.059	−	164.800i	0.168863	−	0.259937i
$635$	−254.922	−	700.391i	−0.401451	−	1.10298i
$636$	−199.267	+	771.530i	−0.313313	+	1.21310i
$637$	−86.9064	−	492.871i	−0.136431	−	0.773738i
$638$	558.594	−	68.4969i	0.875539	−	0.107362i
$639$	79.8794	−	106.285i	0.125007	−	0.166331i
$640$	447.584	−	153.561i	0.699350	−	0.239939i
$641$	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	$0.202538\pi$
$642$	100.706	+	61.6462i	0.156862	+	0.0960221i
$643$	231.774	+	40.8680i	0.360457	+	0.0635584i	0.350944	−	0.936396i	$-0.385861\pi$
$643$	231.774	+	40.8680i	0.360457	+	0.0635584i	0.00951324	+	0.999955i	$0.496972\pi$
$644$	7.02444	−	4.73481i	0.0109075	−	0.00735219i
$645$	−12.7442	−	14.3862i	−0.0197585	−	0.0223042i
$646$	98.6963	+	323.004i	0.152781	+	0.500006i
$647$		−	915.078i		−	1.41434i	−0.707044	−	0.707170i	$-0.749972\pi$
$647$		−	915.078i		−	1.41434i	0.707044	−	0.707170i	$-0.250028\pi$
$648$	516.705	−	391.049i	0.797385	−	0.603471i
$649$	−1058.24			−1.63056
$650$	−303.211	+	92.6485i	−0.466479	+	0.142536i
$651$	233.127	−	206.518i	0.358106	−	0.317233i
$652$	−88.9648	−	131.986i	−0.136449	−	0.202432i
$653$	−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	$0.901162\pi$
$654$	308.762	−	504.396i	0.472113	−	0.771247i
$655$	−530.691	−	632.453i	−0.810215	−	0.965577i
$656$	35.8232	−	1007.55i	0.0546085	−	1.53590i
$657$	1095.52	−	466.672i	1.66746	−	0.710307i
$658$	71.2147	+	580.757i	0.108229	+	0.882610i
$659$	78.7669	−	13.8887i	0.119525	−	0.0210755i	−0.113566	−	0.993530i	$-0.536227\pi$
$659$	78.7669	−	13.8887i	0.119525	−	0.0210755i	0.233091	+	0.972455i	$0.425116\pi$
$660$	684.089	+	176.683i	1.03650	+	0.267702i
$661$	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	$0.368195\pi$
$662$	594.414	+	386.151i	0.897907	+	0.583310i
$663$	−218.853	−	356.625i	−0.330095	−	0.537896i
$664$	99.3812	+	165.576i	0.149670	+	0.249362i
$665$	−113.817	+	197.137i	−0.171154	+	0.296447i
$666$	−1074.91	−	389.876i	−1.61398	−	0.585399i
$667$	−8.91231	+	5.14552i	−0.0133618	+	0.00771443i
$668$	−72.2109	+	32.1230i	−0.108100	+	0.0480883i
$669$	1005.71	+	149.649i	1.50330	+	0.223691i
$670$	246.254	−	125.423i	0.367543	−	0.187199i
$671$	−72.5698	+	86.4853i	−0.108152	+	0.128890i
$672$	81.5347	−	339.386i	0.121331	−	0.505039i
$673$	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	$0.623829\pi$
$678$	−758.030	−	670.001i	−1.11804	−	0.988202i
$679$	179.369	−	213.764i	0.264167	−	0.314822i
$680$	289.511	−	56.1326i	0.425751	−	0.0825479i
$681$	−444.625	+	559.702i	−0.652900	+	0.821883i
$682$	−204.735	+	886.166i	−0.300198	+	1.29936i
$683$	41.0521	−	23.7014i	0.0601055	−	0.0347019i	−0.469646	−	0.882855i	$-0.655618\pi$
$683$	41.0521	−	23.7014i	0.0601055	−	0.0347019i	0.529752	+	0.848153i	$0.322285\pi$
$684$	−511.641	−	331.567i	−0.748013	−	0.484747i
$685$	−367.260	+	636.113i	−0.536146	+	0.928633i
$686$	420.524	−	450.814i	0.613009	−	0.657163i
$687$	233.663	−	431.009i	0.340121	−	0.627378i
$688$	5.78197	−	27.1176i	0.00840403	−	0.0394151i
$689$	−872.801	+	317.674i	−1.26676	+	0.461065i
$690$	−12.7770	+	1.91580i	−0.0185174	+	0.00277652i
$691$	−655.348	+	115.555i	−0.948405	+	0.167229i	−0.626394	−	0.779507i	$-0.715470\pi$
$691$	−655.348	+	115.555i	−0.948405	+	0.167229i	−0.322011	+	0.946736i	$0.604359\pi$
$692$	383.415	+	397.290i	0.554068	+	0.574118i
$693$	380.702	−	355.919i	0.549353	−	0.513592i
$694$	−211.377	+	497.754i	−0.304578	+	0.717224i
$695$	−330.242	−	393.567i	−0.475168	−	0.566283i
$696$	−127.442	+	404.423i	−0.183106	+	0.581067i
$697$	109.106	−	618.773i	0.156537	−	0.887766i
$698$	1029.49	+	54.1168i	1.47492	+	0.0775312i
$699$	87.5319	+	428.833i	0.125224	+	0.613495i
$700$	−133.318	−	96.9255i	−0.190454	−	0.138465i
$701$	−536.019			−0.764649			−0.382325	−	0.924028i	$-0.624876\pi$
$701$	−536.019			−0.764649			−0.382325	+	0.924028i	$0.624876\pi$
$702$	716.704	+	238.408i	1.02095	+	0.339613i
$703$			1075.82i			1.53032i
$704$	380.941	+	945.446i	0.541109	+	1.34296i
$705$	282.616	−	846.443i	0.400873	−	1.20063i
$706$	−431.574	−	22.6863i	−0.611295	−	0.0321336i
$707$	−300.046	−	52.9063i	−0.424394	−	0.0748321i
$708$	330.415	−	725.647i	0.466688	−	1.02493i
$709$	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	$0.121416\pi$
$710$	−42.6938	+	100.536i	−0.0601321	+	0.141600i
$711$	573.592	+	291.339i	0.806740	+	0.409759i
$712$	468.468	+	74.4261i	0.657960	+	0.104531i
$713$	−2.88802	−	16.3788i	−0.00405052	−	0.0229716i
$714$	79.6278	−	202.431i	0.111524	−	0.283517i
$715$	281.670	+	773.883i	0.393944	+	1.08235i
$716$	−736.157	+	51.2429i	−1.02815	+	0.0715683i
$717$	11.6578	+	434.604i	0.0162591	+	0.606142i
$718$	−347.122	+	372.124i	−0.483456	+	0.518279i
$719$	−541.911	−	312.872i	−0.753701	−	0.435149i	0.0733289	−	0.997308i	$-0.476638\pi$
$719$	−541.911	−	312.872i	−0.753701	−	0.435149i	−0.827029	+	0.562159i	$0.809971\pi$
$720$	−334.749	+	413.924i	−0.464929	+	0.574894i
$721$	306.305	+	530.537i	0.424834	+	0.735834i
$722$	33.3986	−	144.561i	0.0462584	−	0.200223i
$723$	−228.812	+	90.2999i	−0.316475	+	0.124896i
$724$	−331.082	−	161.609i	−0.457296	−	0.223218i
$725$	153.391	+	128.710i	0.211573	+	0.177531i
$726$	−158.313	+	780.046i	−0.218062	+	1.07444i
$727$	484.036	−	1329.88i	0.665798	−	1.82927i	0.117334	−	0.993093i	$-0.462565\pi$
$727$	484.036	−	1329.88i	0.665798	−	1.82927i	0.548465	−	0.836174i	$-0.315213\pi$
$728$	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
$732$	−36.6456	−	76.7656i	−0.0500623	−	0.104871i
$733$	−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	$-0.600188\pi$
$734$	1011.27	−	515.068i	1.37776	−	0.701728i
$735$	−369.118	+	145.672i	−0.502202	+	0.198193i
$736$	−13.1695	−	13.1903i	−0.0178933	−	0.0179216i
$737$	297.647	+	515.540i	0.403863	+	0.699512i
$738$	568.201	+	981.620i	0.769921	+	1.33011i
$739$	−1173.60	−	677.576i	−1.58809	−	0.916883i	−0.993622	−	0.112761i	$-0.964030\pi$
$739$	−1173.60	−	677.576i	−1.58809	−	0.916883i	−0.594465	−	0.804121i	$-0.702636\pi$
$740$	934.171	+	98.4844i	1.26239	+	0.133087i
$741$	−19.0557	−	710.398i	−0.0257162	−	0.958702i
$742$	−404.929	−	263.055i	−0.545726	−	0.354521i
$743$	272.586	+	748.924i	0.366872	+	1.00797i	0.976544	+	0.215319i	$0.0690792\pi$
$743$	272.586	+	748.924i	0.366872	+	1.00797i	−0.609671	+	0.792654i	$0.708699\pi$
$744$	−543.732	−	417.079i	−0.730822	−	0.560591i
$745$	−1.09687	−	6.22064i	−0.00147231	−	0.00834986i
$746$	−88.9966	−	725.769i	−0.119298	−	0.972881i
$747$	−193.697	−	98.3827i	−0.259300	−	0.131704i
$748$	153.485	+	616.427i	0.205194	+	0.824101i
$749$	−54.8114	+	45.9923i	−0.0731795	+	0.0614049i
$750$	384.887	+	708.064i	0.513183	+	0.944086i
$751$	−1324.25	−	233.502i	−1.76332	−	0.310921i	−0.804292	−	0.594234i	$-0.797455\pi$
$751$	−1324.25	−	233.502i	−1.76332	−	0.310921i	−0.959027	+	0.283313i	$0.908566\pi$
$752$	1224.65	−	397.057i	1.62853	−	0.528001i
$753$	45.5878	−	136.537i	0.0605416	−	0.181324i
$754$	−472.678	+	144.430i	−0.626894	+	0.191552i
$755$			415.377i			0.550168i
$756$	125.191	+	372.182i	0.165597	+	0.492304i
$757$	268.495			0.354682			0.177341	−	0.984149i	$-0.443250\pi$
$757$	268.495			0.354682			0.177341	+	0.984149i	$0.443250\pi$
$758$	181.380	+	593.603i	0.239288	+	0.783118i
$759$	−5.56592	−	27.2684i	−0.00733323	−	0.0359267i
$760$	473.500	+	163.291i	0.623026	+	0.214856i
$761$	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	$-0.0440923\pi$
$762$	−31.0866	+	1209.30i	−0.0407960	+	1.58701i
$763$	230.357	+	274.529i	0.301910	+	0.359802i
$764$	−57.9160	−	232.602i	−0.0758063	−	0.304453i
$765$	−242.349	+	226.573i	−0.316796	+	0.296173i
$766$	−450.921	+	55.2937i	−0.588670	+	0.0721850i
$767$	915.261	−	161.385i	1.19330	−	0.210411i
$768$	−767.248	−	33.9822i	−0.999021	−	0.0442476i
$769$	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	$0.355870\pi$
$770$	−233.242	+	359.036i	−0.302911	+	0.466281i
$771$	−423.751	+	781.641i	−0.549613	+	1.01380i
$772$	−1119.15	−	117.986i	−1.44968	−	0.152832i
$773$	−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	$0.879617\pi$
$774$	10.7014	+	29.2999i	0.0138261	+	0.0378552i
$775$	−280.250	+	161.802i	−0.361613	+	0.208777i
$776$	−536.868	−	297.924i	−0.691840	−	0.383923i
$777$	430.990	−	542.539i	0.554685	−	0.698248i
$778$	284.603	+	558.783i	0.365813	+	0.718230i
$779$	685.945	−	817.478i	0.880546	−	1.04939i
$780$	−618.609	−	48.4858i	−0.793088	−	0.0621613i
$781$	−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
$786$	425.789	+	1270.52i	0.541716	+	1.61644i
$787$	421.238	−	502.011i	0.535245	−	0.637880i	−0.428870	−	0.903366i	$-0.641088\pi$
$787$	421.238	−	502.011i	0.535245	−	0.637880i	0.964115	+	0.265487i	$0.0855326\pi$
$788$	108.925	+	53.1690i	0.138230	+	0.0674734i
$789$	1534.30	+	228.303i	1.94462	+	0.289357i
$790$	−514.950	−	118.972i	−0.651836	−	0.150597i
$791$	530.925	−	306.530i	0.671208	−	0.387522i
$792$	−928.254	−	673.282i	−1.17204	−	0.850103i
$793$	49.5758	−	85.8677i	0.0625167	−	0.108282i
$794$	206.979	+	193.073i	0.260679	+	0.243164i
$795$	385.196	+	627.683i	0.484523	+	0.789539i
$796$	945.005	−	65.7806i	1.18719	−	0.0826389i
$797$	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	$0.247511\pi$
$798$	289.027	−	230.129i	0.362190	−	0.288382i
$799$	790.148	−	139.324i	0.988921	−	0.174373i
$800$	−153.531	+	328.570i	−0.191914	+	0.410712i
$801$	−490.948	+	209.134i	−0.612919	+	0.261092i
$802$	696.585	+	295.813i	0.868559	+	0.368844i
$803$	−1354.50	−	1614.24i	−1.68681	−	2.01026i
$804$	−446.448	+	43.1327i	−0.555284	+	0.0536477i
$805$	1.35952	−	7.71020i	0.00168884	−	0.00957789i
$806$	41.9303	−	797.662i	0.0520227	−	0.989655i
$807$	287.829	−	254.977i	0.356665	−	0.315956i
$808$	11.3814	+	670.280i	0.0140859	+	0.829555i
$809$	−614.291			−0.759321			−0.379661	−	0.925126i	$-0.623959\pi$
$809$	−614.291			−0.759321			−0.379661	+	0.925126i	$0.623959\pi$
$810$	71.5637	−	594.595i	0.0883503	−	0.734068i
$811$		−	885.453i		−	1.09180i	−0.837849	−	0.545902i	$-0.816187\pi$
$811$		−	885.453i		−	1.09180i	0.837849	−	0.545902i	$-0.183813\pi$
$812$	−207.830	−	151.098i	−0.255948	−	0.186081i
$813$	208.981	+	235.907i	0.257049	+	0.290168i
$814$	−106.219	+	2020.66i	−0.130490	+	2.48238i
$815$	−144.871	−	25.5447i	−0.177756	−	0.0313431i
$816$	−470.616	−	87.2214i	−0.576735	−	0.106889i
$817$	22.4823	−	18.8649i	0.0275181	−	0.0230904i
$818$	−601.725	−	255.529i	−0.735605	−	0.312383i
$819$	−274.987	+	365.890i	−0.335760	+	0.446753i
$820$	−647.052	−	670.466i	−0.789087	−	0.817642i
$821$	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	$0.940940\pi$
$822$	932.620	−	742.569i	1.13457	−	0.903369i
$823$	213.708	+	587.157i	0.259669	+	0.713435i	0.999188	+	0.0402987i	$0.0128310\pi$
$823$	213.708	+	587.157i	0.259669	+	0.713435i	−0.739519	+	0.673136i	$0.764947\pi$
$824$	1017.71	−	883.838i	1.23509	−	1.07262i
$825$	−461.534	+	283.234i	−0.559435	+	0.343313i
$826$	353.313	+	329.574i	0.427739	+	0.399000i
$827$	151.143	+	87.2623i	0.182760	+	0.105517i	0.588589	−	0.808432i	$-0.299684\pi$
$827$	151.143	+	87.2623i	0.182760	+	0.105517i	−0.405829	+	0.913949i	$0.633017\pi$
$828$	20.4362	+	4.69743i	0.0246814	+	0.00567323i
$829$	−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	$-0.477502\pi$
$830$	173.894	+	40.1757i	0.209511	+	0.0484044i
$831$	−183.235	+	1231.42i	−0.220499	+	1.48186i
$832$	−473.657	−	759.615i	−0.569300	−	0.912999i
$833$	−273.312	−	229.336i	−0.328106	−	0.275314i
$834$	264.962	+	790.630i	0.317701	+	0.947997i
$835$	−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	−0.958681	−	0.284482i	$-0.908178\pi$
$839$	−34.7575	+	95.4954i	−0.0414273	+	0.113821i	0.917254	+	0.398303i	$0.130401\pi$
$840$	−173.371	−	272.040i	−0.206394	−	0.323857i
$841$	−405.122	−	339.938i	−0.481714	−	0.404206i
$842$	−556.757	−	1093.13i	−0.661232	−	1.29825i
$843$	945.593	+	751.175i	1.12170	+	0.891074i
$844$	−329.978	+	146.791i	−0.390970	+	0.173923i
$845$	−49.2528	−	85.3084i	−0.0582874	−	0.100957i
$846$	−929.735	+	1110.53i	−1.09898	+	1.31268i
$847$	−417.708	−	241.164i	−0.493161	−	0.284727i
$848$	−398.629	+	984.847i	−0.470082	+	1.16138i
$849$	686.220	+	372.021i	0.808268	+	0.438187i
$850$	−123.131	+	189.539i	−0.144860	+	0.222987i
$851$	−12.6551	−	34.7696i	−0.0148709	−	0.0408574i
$852$	124.213	−	126.481i	0.145790	−	0.148452i
$853$	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	$0.921480\pi$
$854$	51.1636	−	6.27387i	0.0599105	−	0.00734646i
$855$	−548.869	+	127.454i	−0.641953	+	0.149069i
$856$	122.302	+	99.1348i	0.142877	+	0.115812i
$857$	−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	$0.347522\pi$
$858$	34.3485	−	1336.19i	0.0400332	−	1.55733i
$859$	1006.24	+	177.428i	1.17141	+	0.206551i	0.725304	−	0.688428i	$-0.241699\pi$
$859$	1006.24	+	177.428i	1.17141	+	0.206551i	0.446107	+	0.894980i	$0.352810\pi$
$860$	−14.3229	−	21.2491i	−0.0166546	−	0.0247083i
$861$	−673.420	+	137.456i	−0.782137	+	0.159647i
$862$	−180.595	−	591.033i	−0.209506	−	0.685653i
$863$		−	755.082i		−	0.874950i	−0.899231	−	0.437475i	$-0.855873\pi$
$863$		−	755.082i		−	0.874950i	0.899231	−	0.437475i	$-0.144127\pi$
$864$	751.510	−	426.297i	0.869803	−	0.493399i
$865$	510.281			0.589921
$866$	−520.100	+	158.921i	−0.600578	+	0.183511i
$867$	539.436	+	180.110i	0.622187	+	0.207740i
$868$	344.340	−	232.102i	0.396705	−	0.267398i
$869$	197.694	−	1121.18i	0.227495	−	1.29019i
$870$	187.158	+	344.309i	0.215125	+	0.395758i
$871$	−336.055	−	400.495i	−0.385827	−	0.459810i
$872$	496.528	−	612.565i	0.569412	−	0.702483i
$873$	689.748	−	37.0302i	0.790089	−	0.0424172i
$874$	−2.40128	−	19.5825i	−0.00274746	−	0.0224056i
$875$	−480.945	+	84.8036i	−0.549651	+	0.0969183i
$876$	1529.82	−	424.787i	1.74638	−	0.484917i
$877$	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	$0.288185\pi$
$878$	−263.135	−	170.941i	−0.299698	−	0.194694i
$879$	−588.884	+	15.7962i	−0.669948	+	0.0179707i
$880$	873.230	+	353.451i	0.992306	+	0.401649i
$881$	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	$-0.00684906\pi$
$882$	644.048	−	0.719348i	0.730214	−	0.000815587i
$883$	1044.63	−	603.119i	1.18305	−	0.683034i	0.226332	−	0.974050i	$-0.427327\pi$
$883$	1044.63	−	603.119i	1.18305	−	0.683034i	0.956718	+	0.291016i	$0.0939934\pi$
$884$	−226.756	−	509.737i	−0.256511	−	0.576625i
$885$	−270.512	−	685.452i	−0.305663	−	0.774522i
$886$	461.340	−	234.973i	0.520700	−	0.265206i
$887$	−351.731	+	419.177i	−0.396540	+	0.472578i	−0.926962	−	0.375156i	$-0.877589\pi$
$887$	−351.731	+	419.177i	−0.396540	+	0.472578i	0.530422	+	0.847734i	$0.322034\pi$
$888$	−1352.43	−	703.750i	−1.52300	−	0.792511i
$889$	−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
$894$	−2.03909	+	10.0471i	−0.00228086	+	0.0112384i
$895$	−438.386	+	522.448i	−0.489817	+	0.583741i
$896$	167.262	−	434.295i	0.186677	−	0.484704i
$897$	8.97246	+	22.7354i	0.0100027	+	0.0253460i
$898$	363.610	−	1573.83i	0.404911	−	1.75260i
$899$	−436.883	+	252.235i	−0.485966	+	0.280573i
$900$	−50.1114	−	404.915i	−0.0556793	−	0.449906i
$901$	−331.072	+	573.434i	−0.367450	+	0.636442i
$902$	1369.09	−	1467.70i	1.51784	−	1.62717i
$903$	−18.8955	+	0.506852i	−0.0209252	+	0.000561298i
$904$	−884.485	−	1018.46i	−0.978413	−	1.12662i
$905$	−319.962	+	116.457i	−0.353549	+	0.128681i
$906$	246.781	−	627.370i	0.272385	−	0.692462i
$907$	−645.561	+	113.830i	−0.711754	+	0.125501i	−0.517791	−	0.855507i	$-0.673245\pi$
$907$	−645.561	+	113.830i	−0.711754	+	0.125501i	−0.193963	+	0.981009i	$0.562134\pi$
$908$	−685.801	+	661.851i	−0.755288	+	0.728911i
$909$	−411.559	−	631.979i	−0.452760	−	0.695247i
$910$	146.975	−	346.098i	0.161511	−	0.380328i
$911$	469.932	+	560.043i	0.515842	+	0.614757i	0.959592	−	0.281394i	$-0.0907967\pi$
$911$	469.932	+	560.043i	0.515842	+	0.614757i	−0.443750	+	0.896150i	$0.646352\pi$
$912$	−618.144	−	527.940i	−0.677790	−	0.578882i
$913$	−66.7595	+	378.612i	−0.0731210	+	0.414690i
$914$	−1093.28	−	57.4701i	−1.19615	−	0.0628776i
$915$	−74.5699	−	24.8979i	−0.0814972	−	0.0272108i
$916$	384.400	−	528.730i	0.419651	−	0.577216i
$917$	−811.993			−0.885489
$918$	500.645	−	198.225i	0.545365	−	0.215931i
$919$			444.934i			0.484150i	0.970257	+	0.242075i	$0.0778281\pi$
$919$			444.934i			0.484150i	−0.970257	+	0.242075i	$0.922172\pi$
$920$	−17.2240	+	0.292464i	−0.0187217	+	0.000317895i
$921$	−578.996	+	118.182i	−0.628660	+	0.128320i
$922$	−308.150	−	16.1984i	−0.334219	−	0.0175687i
$923$	203.494	+	35.8815i	0.220471	+	0.0388749i
$924$	565.588	−	403.704i	0.612108	−	0.436909i
$925$	−551.510	+	462.772i	−0.596227	+	0.500294i
$926$	−49.5370	+	116.650i	−0.0534957	+	0.125972i
$927$	−441.509	+	1450.72i	−0.476277	+	1.56497i
$928$	−239.341	+	512.210i	−0.257911	+	0.551950i
$929$	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	$0.929072\pi$
$930$	−626.333	+	93.9130i	−0.673476	+	0.100982i
$931$	−207.252	−	569.421i	−0.222613	−	0.611623i
$932$	40.5233	+	582.158i	0.0434799	+	0.624633i
$933$	−73.3840	−	39.7837i	−0.0786539	−	0.0426406i
$934$	−256.447	+	274.918i	−0.274569	+	0.294345i
$935$	508.444	+	293.551i	0.543791	+	0.313958i
$936$	905.519	+	440.754i	0.967435	+	0.470891i
$937$	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	$0.754031\pi$
$938$	61.1830	−	264.821i	0.0652271	−	0.282326i
$939$	−767.550	−	609.738i	−0.817412	−	0.649348i
$940$	521.928	−	1069.25i	0.555243	−	1.13750i
$941$	−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	$0.763779\pi$
$942$	13.6729	+	12.0851i	0.0145148	+	0.0128292i
$943$	−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	−0.998363	−	0.0571920i	$-0.981785\pi$
$947$	−186.379	+	512.073i	−0.196810	+	0.540732i	0.801553	+	0.597924i	$0.204008\pi$
$948$	707.080	+	485.629i	0.745865	+	0.512266i
$949$	1417.68	+	1189.57i	1.49387	+	1.25350i
$950$	−342.066	+	174.223i	−0.360069	+	0.183393i
$951$	−43.3857	+	291.572i	−0.0456211	+	0.306595i
$952$	140.734	−	253.607i	0.147830	−	0.266394i
$953$	−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	$0.896137\pi$
$954$	−208.871	−	1176.88i	−0.218943	−	1.23363i
$955$	−191.856	−	110.768i	−0.200896	−	0.115988i
$956$	−60.7756	+	576.486i	−0.0635728	+	0.603019i
$957$	−719.489	+	441.535i	−0.751817	+	0.461374i
$958$	518.790	+	337.023i	0.541535	+	0.351799i
$959$	247.078	+	678.841i	0.257641	+	0.707863i
$960$	−515.017	+	488.427i	−0.536476	+	0.508778i
$961$	25.3046	+	143.509i	0.0263315	+	0.149333i
$962$	−216.290	−	1763.85i	−0.224834	−	1.83353i
$963$	−175.821	−	21.3605i	−0.182576	−	0.0221812i
$964$	−318.263	+	79.2450i	−0.330149	+	0.0822043i
$965$	−796.733	+	668.538i	−0.825630	+	0.692786i
$966$	−6.63409	+	10.8375i	−0.00686759	+	0.0112190i
$967$	297.669	+	52.4871i	0.307827	+	0.0542782i	0.325428	−	0.945567i	$-0.394492\pi$
$967$	297.669	+	52.4871i	0.307827	+	0.0542782i	−0.0176007	+	0.999845i	$0.505603\pi$
$968$	−345.991	+	1003.28i	−0.357428	+	1.03645i
$969$	−335.938	−	379.221i	−0.346685	−	0.391353i
$970$	−542.687	+	165.822i	−0.559471	+	0.170951i
$971$			259.199i			0.266940i	0.991053	+	0.133470i	$0.0426120\pi$
$971$			259.199i			0.266940i	−0.991053	+	0.133470i	$0.957388\pi$
$972$	−461.344	+	855.538i	−0.474633	+	0.880184i
$973$	−505.292			−0.519314
$974$	231.773	+	758.524i	0.237960	+	0.778772i
$975$	355.984	−	315.353i	0.365111	−	0.323439i
$976$	−34.9799	−	107.890i	−0.0358401	−	0.110543i
$977$	−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	$0.934407\pi$
$978$	203.632	+	124.651i	0.208212	+	0.127455i
$979$	607.008	+	723.404i	0.620029	+	0.738921i
$980$	−513.421	+	127.838i	−0.523899	+	0.130447i
$981$	−106.987	+	880.619i	−0.109059	+	0.897674i
$982$	−788.681	+	96.7111i	−0.803137	+	0.0984838i
$983$	−204.339	+	36.0305i	−0.207873	+	0.0366536i	−0.276615	−	0.960981i	$-0.589213\pi$
$983$	−204.339	+	36.0305i	−0.207873	+	0.0366536i	0.0687418	+	0.997634i	$0.478102\pi$
$984$	578.951	+	1397.07i	0.588365	+	1.41979i
$985$	105.266	−	38.3139i	0.106870	−	0.0388973i
$986$	−191.949	+	295.473i	−0.194675	+	0.299669i
$987$	−459.054	−	748.037i	−0.465100	−	0.757889i
$988$	99.3431	−	942.316i	0.100550	−	0.953762i
$989$	−0.504699	+	0.874164i	−0.000510312	+	0.000883887i
$990$	−1043.50	+	185.199i	−1.05404	+	0.187070i
$991$	159.830	−	92.2782i	0.161282	−	0.0931162i	−0.417187	−	0.908821i	$-0.636984\pi$
$991$	159.830	−	92.2782i	0.161282	−	0.0931162i	0.578469	+	0.815705i	$0.303651\pi$
$992$	−645.570	−	646.593i	−0.650776	−	0.651807i
$993$	−1051.67	−	156.487i	−1.05908	−	0.157590i
$994$	48.7545	+	95.7236i	0.0490488	+	0.0963014i
$995$	562.757	−	670.667i	0.565585	−	0.674038i
$996$	−238.775	−	163.993i	−0.239734	−	0.164651i
$997$	−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.31.3	yes	204
3.2	odd	2		324.3.j.a.307.32		204
4.3	odd	2	inner	108.3.j.a.31.11	yes	204
12.11	even	2		324.3.j.a.307.24		204
27.7	even	9	inner	108.3.j.a.7.11	yes	204
27.20	odd	18		324.3.j.a.19.24		204
108.7	odd	18	inner	108.3.j.a.7.3	✓	204
108.47	even	18		324.3.j.a.19.32		204

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

\(f(q)\)	\(=\)	\(q+(-1.91270 + 0.584441i) q^{2} +(2.24560 - 1.98929i) q^{3} +(3.31686 - 2.23572i) q^{4} +(0.641948 - 3.64067i) q^{5} +(-3.13254 + 5.11734i) q^{6} +(-2.33709 - 2.78523i) q^{7} +(-5.03752 + 6.21478i) q^{8} +(1.08543 - 8.93431i) q^{9} +O(q^{10})\)	\(q+(-1.91270 + 0.584441i) q^{2} +(2.24560 - 1.98929i) q^{3} +(3.31686 - 2.23572i) q^{4} +(0.641948 - 3.64067i) q^{5} +(-3.13254 + 5.11734i) q^{6} +(-2.33709 - 2.78523i) q^{7} +(-5.03752 + 6.21478i) q^{8} +(1.08543 - 8.93431i) q^{9} +(0.899899 + 7.33869i) q^{10} +(-15.6847 + 2.76563i) q^{11} +(3.00083 - 11.6187i) q^{12} +(13.1438 - 4.78396i) q^{13} +(6.09796 + 3.96143i) q^{14} +(-5.80079 - 9.45250i) q^{15} +(6.00310 - 14.8311i) q^{16} +(4.98573 - 8.63554i) q^{17} +(3.14546 + 17.7230i) q^{18} +(14.6667 - 8.46782i) q^{19} +(-6.01027 - 13.5108i) q^{20} +(-10.7888 - 1.60537i) q^{21} +(28.3838 - 14.4566i) q^{22} +(-0.374408 + 0.446202i) q^{23} +(1.05077 + 23.9770i) 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} +(16.6196 + 14.6896i) q^{30} +(-18.3535 + 21.8729i) q^{31} +(-2.81422 + 31.8760i) q^{32} +(-29.7199 + 37.4119i) q^{33} +(-4.48926 + 19.4311i) q^{34} +(-11.6404 + 6.72059i) q^{35} +(-16.3744 - 32.0606i) q^{36} +(-31.7620 + 55.0133i) q^{37} +(-23.1041 + 24.7682i) q^{38} +(19.9990 - 36.8897i) q^{39} +(19.3921 + 22.3295i) q^{40} +(59.2116 - 21.5512i) q^{41} +(21.5740 - 3.23483i) q^{42} +(1.70662 - 0.300923i) q^{43} +(-45.8407 + 44.2398i) q^{44} +(-31.8300 - 9.68705i) q^{45} +(0.455352 - 1.07227i) q^{46} +(51.7208 + 61.6385i) q^{47} +(-16.0229 - 45.2467i) q^{48} +(6.21322 - 35.2369i) q^{49} +(-22.6357 - 1.18988i) q^{50} +(-5.98266 - 29.3100i) q^{51} +(32.9006 - 45.2536i) q^{52} -66.4040 q^{53} +(42.3198 + 33.5416i) q^{54} +58.8781i q^{55} +(29.0827 - 0.493825i) q^{56} +(16.0905 - 48.1917i) q^{57} +(-35.2869 - 1.85491i) q^{58} +(65.4349 + 11.5379i) q^{59} +(-40.3736 - 18.3836i) q^{60} +(5.43023 - 4.55650i) q^{61} +(22.3215 - 52.5629i) q^{62} +(-27.4209 + 17.8571i) q^{63} +(-13.2469 - 62.6141i) q^{64} +(-8.97915 - 50.9233i) q^{65} +(34.9802 - 88.9274i) q^{66} +(-12.7838 - 35.1231i) q^{67} +(-2.76970 - 39.7896i) q^{68} +(0.0468560 + 1.74680i) q^{69} +(18.3368 - 19.6576i) q^{70} +(12.7937 + 7.38644i) q^{71} +(50.0568 + 51.7524i) q^{72} +(66.1544 + 114.583i) q^{73} +(28.5991 - 123.787i) q^{74} +(31.6266 - 12.4813i) q^{75} +(29.7156 - 60.8772i) q^{76} +(44.3594 + 37.2220i) q^{77} +(-16.6924 + 82.2473i) 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} +(-39.3741 + 18.7960i) q^{84} +(-28.2385 - 23.6950i) q^{85} +(-3.08838 + 1.57299i) q^{86} +(49.3029 - 19.4572i) q^{87} +(61.8241 - 111.409i) q^{88} +(-29.6464 - 51.3491i) q^{89} +(66.5429 - 0.0743228i) q^{90} +(-44.0427 - 25.4281i) q^{91} +(-0.244274 + 2.31706i) q^{92} +(2.29689 + 85.6284i) q^{93} +(-134.951 - 87.6683i) q^{94} +(-21.4132 - 58.8324i) q^{95} +(57.0911 + 77.1790i) q^{96} +(13.3273 + 75.5830i) q^{97} +(8.70984 + 71.0289i) 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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