LMFDB - Embedded newform 45.3.k.a.43.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [45,3,Mod(7,45)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(45, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([8, 3]))

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

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

chi := DirichletCharacter("45.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 45 = 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	45.k (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.22616118962$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			43.7
Character	$\chi$	$=$	45.43
Dual form			45.3.k.a.22.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.238965 + 0.891829i) q^{2} +(0.613889 - 2.93652i) q^{3} +(2.72585 - 1.57377i) q^{4} +(-3.51824 - 3.55274i) q^{5} +(2.76557 - 0.154241i) q^{6} +(2.96175 + 11.0534i) q^{7} +(4.66637 + 4.66637i) q^{8} +(-8.24628 - 3.60539i) q^{9} +O(q^{10})$	\(q+(0.238965 + 0.891829i) q^{2} +(0.613889 - 2.93652i) q^{3} +(2.72585 - 1.57377i) q^{4} +(-3.51824 - 3.55274i) q^{5} +(2.76557 - 0.154241i) q^{6} +(2.96175 + 11.0534i) q^{7} +(4.66637 + 4.66637i) q^{8} +(-8.24628 - 3.60539i) q^{9} +(2.32770 - 3.98665i) q^{10} +(-1.30484 + 2.26005i) q^{11} +(-2.94803 - 8.97062i) q^{12} +(-0.764853 + 2.85447i) q^{13} +(-9.15000 + 5.28276i) q^{14} +(-12.5925 + 8.15040i) q^{15} +(3.24857 - 5.62669i) q^{16} +(-13.6850 + 13.6850i) q^{17} +(1.24482 - 8.21583i) q^{18} -11.4465i q^{19} +(-15.1814 - 4.14733i) q^{20} +(34.2768 - 1.91167i) q^{21} +(-2.32738 - 0.623621i) q^{22} +(2.89082 - 10.7887i) q^{23} +(16.5675 - 10.8382i) q^{24} +(-0.243925 + 24.9988i) q^{25} -2.72847 q^{26} +(-15.6496 + 22.0020i) q^{27} +(25.4688 + 25.4688i) q^{28} +(23.0262 + 13.2942i) q^{29} +(-10.2779 - 9.28269i) q^{30} +(-21.8787 - 37.8950i) q^{31} +(31.2919 + 8.38463i) q^{32} +(5.83564 + 5.21910i) q^{33} +(-15.4750 - 8.93448i) q^{34} +(28.8498 - 49.4110i) q^{35} +(-28.1522 + 3.14999i) q^{36} +(14.4324 - 14.4324i) q^{37} +(10.2083 - 2.73530i) q^{38} +(7.91267 + 3.99833i) q^{39} +(0.160974 - 32.9958i) q^{40} +(-0.924605 - 1.60146i) q^{41} +(9.89582 + 30.1122i) q^{42} +(-49.0742 + 13.1494i) q^{43} +8.21405i q^{44} +(16.2034 + 41.9815i) q^{45} +10.3125 q^{46} +(-16.4309 - 61.3211i) q^{47} +(-14.5286 - 12.9936i) q^{48} +(-70.9709 + 40.9750i) q^{49} +(-22.3529 + 5.75630i) q^{50} +(31.7853 + 48.5875i) q^{51} +(2.40740 + 8.98455i) q^{52} +(6.43481 + 6.43481i) q^{53} +(-23.3618 - 8.69905i) q^{54} +(12.6201 - 3.31564i) q^{55} +(-37.7587 + 65.4000i) q^{56} +(-33.6128 - 7.02686i) q^{57} +(-6.35367 + 23.7122i) q^{58} +(49.5170 - 28.5886i) q^{59} +(-21.4984 + 42.0344i) q^{60} +(16.8393 - 29.1666i) q^{61} +(28.5676 - 28.5676i) q^{62} +(15.4285 - 101.828i) q^{63} +3.92205i q^{64} +(12.8321 - 7.32540i) q^{65} +(-3.26003 + 6.45157i) q^{66} +(31.4072 + 8.41554i) q^{67} +(-15.7663 + 58.8405i) q^{68} +(-29.9066 - 15.1120i) q^{69} +(50.9602 + 13.9216i) q^{70} -63.3498 q^{71} +(-21.6561 - 55.3043i) q^{72} +(-50.9063 - 50.9063i) q^{73} +(16.3201 + 9.42239i) q^{74} +(73.2597 + 16.0628i) q^{75} +(-18.0141 - 31.2013i) q^{76} +(-28.8458 - 7.72922i) q^{77} +(-1.67498 + 8.01221i) q^{78} +(59.5972 + 34.4084i) q^{79} +(-31.4194 + 8.25473i) q^{80} +(55.0023 + 59.4622i) q^{81} +(1.20728 - 1.20728i) q^{82} +(101.841 - 27.2882i) q^{83} +(90.4247 - 59.1546i) q^{84} +(96.7668 + 0.472089i) q^{85} +(-23.4540 - 40.6236i) q^{86} +(53.1740 - 59.4556i) q^{87} +(-16.6351 + 4.45735i) q^{88} +136.887i q^{89} +(-33.5683 + 24.4828i) q^{90} -33.8170 q^{91} +(-9.09897 - 33.9578i) q^{92} +(-124.710 + 40.9838i) q^{93} +(50.7615 - 29.3072i) q^{94} +(-40.6663 + 40.2715i) q^{95} +(43.8313 - 86.7419i) q^{96} +(-9.45952 - 35.3034i) q^{97} +(-53.5023 - 53.5023i) q^{98} +(18.9084 - 13.9325i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 2 q^{2} - 6 q^{3} - 2 q^{5} - 24 q^{6} - 2 q^{7} - 24 q^{8}+O(q^{10}) $ 40 * q - 2 * q^2 - 6 * q^3 - 2 * q^5 - 24 * q^6 - 2 * q^7 - 24 * q^8	$ 40 q - 2 q^{2} - 6 q^{3} - 2 q^{5} - 24 q^{6} - 2 q^{7} - 24 q^{8} - 8 q^{10} + 8 q^{11} - 30 q^{12} - 2 q^{13} - 30 q^{15} + 28 q^{16} + 28 q^{17} + 48 q^{18} - 114 q^{20} + 12 q^{21} + 14 q^{22} + 82 q^{23} - 8 q^{25} - 112 q^{26} - 198 q^{27} - 88 q^{28} + 162 q^{30} - 4 q^{31} - 14 q^{32} + 96 q^{33} + 352 q^{35} + 264 q^{36} - 92 q^{37} + 330 q^{38} + 30 q^{40} - 28 q^{41} + 498 q^{42} - 2 q^{43} - 72 q^{45} - 136 q^{46} + 64 q^{47} - 510 q^{48} - 458 q^{50} - 396 q^{51} - 74 q^{52} - 608 q^{53} + 224 q^{55} - 192 q^{56} - 114 q^{57} + 30 q^{58} - 798 q^{60} + 92 q^{61} - 100 q^{62} + 24 q^{63} - 326 q^{65} + 588 q^{66} - 80 q^{67} + 626 q^{68} - 102 q^{70} + 248 q^{71} - 162 q^{72} - 8 q^{73} + 810 q^{75} - 96 q^{76} + 338 q^{77} + 1062 q^{78} + 1444 q^{80} + 204 q^{81} + 104 q^{82} + 370 q^{83} - 98 q^{85} - 328 q^{86} + 534 q^{87} - 210 q^{88} + 462 q^{90} + 152 q^{91} + 388 q^{92} - 1062 q^{93} - 360 q^{95} - 876 q^{96} + 292 q^{97} - 1876 q^{98}+O(q^{100}) $ 40 * q - 2 * q^2 - 6 * q^3 - 2 * q^5 - 24 * q^6 - 2 * q^7 - 24 * q^8 - 8 * q^10 + 8 * q^11 - 30 * q^12 - 2 * q^13 - 30 * q^15 + 28 * q^16 + 28 * q^17 + 48 * q^18 - 114 * q^20 + 12 * q^21 + 14 * q^22 + 82 * q^23 - 8 * q^25 - 112 * q^26 - 198 * q^27 - 88 * q^28 + 162 * q^30 - 4 * q^31 - 14 * q^32 + 96 * q^33 + 352 * q^35 + 264 * q^36 - 92 * q^37 + 330 * q^38 + 30 * q^40 - 28 * q^41 + 498 * q^42 - 2 * q^43 - 72 * q^45 - 136 * q^46 + 64 * q^47 - 510 * q^48 - 458 * q^50 - 396 * q^51 - 74 * q^52 - 608 * q^53 + 224 * q^55 - 192 * q^56 - 114 * q^57 + 30 * q^58 - 798 * q^60 + 92 * q^61 - 100 * q^62 + 24 * q^63 - 326 * q^65 + 588 * q^66 - 80 * q^67 + 626 * q^68 - 102 * q^70 + 248 * q^71 - 162 * q^72 - 8 * q^73 + 810 * q^75 - 96 * q^76 + 338 * q^77 + 1062 * q^78 + 1444 * q^80 + 204 * q^81 + 104 * q^82 + 370 * q^83 - 98 * q^85 - 328 * q^86 + 534 * q^87 - 210 * q^88 + 462 * q^90 + 152 * q^91 + 388 * q^92 - 1062 * q^93 - 360 * q^95 - 876 * q^96 + 292 * q^97 - 1876 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/45\mathbb{Z}\right)^\times$.

$n$	$11$	$37$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	0.238965	+	0.891829i	0.119482	+	0.445914i	0.999583	−	0.0288727i	$-0.00919174\pi$
$2$	0.238965	+	0.891829i	0.119482	+	0.445914i	−0.880101	+	0.474787i	$0.842525\pi$
$3$	0.613889	−	2.93652i	0.204630	−	0.978839i
$3$	0.613889	−	2.93652i	0.204630	−	0.978839i
$4$	2.72585	−	1.57377i	0.681462	−	0.393442i
$5$	−3.51824	−	3.55274i	−0.703649	−	0.710548i
$5$	−3.51824	−	3.55274i	−0.703649	−	0.710548i
$6$	2.76557	−	0.154241i	0.460928	−	0.0257068i
$7$	2.96175	+	11.0534i	0.423108	+	1.57906i	0.768021	+	0.640425i	$0.221242\pi$
$7$	2.96175	+	11.0534i	0.423108	+	1.57906i	−0.344913	+	0.938635i	$0.612091\pi$
$8$	4.66637	+	4.66637i	0.583296	+	0.583296i
$9$	−8.24628	−	3.60539i	−0.916253	−	0.400599i
$10$	2.32770	−	3.98665i	0.232770	−	0.398665i
$11$	−1.30484	+	2.26005i	−0.118622	+	0.205459i	−0.919222	−	0.393740i	$-0.871181\pi$
$11$	−1.30484	+	2.26005i	−0.118622	+	0.205459i	0.800600	+	0.599199i	$0.204514\pi$
$12$	−2.94803	−	8.97062i	−0.245669	−	0.747552i
$13$	−0.764853	+	2.85447i	−0.0588349	+	0.219575i	−0.989084	−	0.147354i	$-0.952924\pi$
$13$	−0.764853	+	2.85447i	−0.0588349	+	0.219575i	0.930249	+	0.366929i	$0.119591\pi$
$14$	−9.15000	+	5.28276i	−0.653572	+	0.377340i
$15$	−12.5925	+	8.15040i	−0.839500	+	0.543360i
$16$	3.24857	−	5.62669i	0.203036	−	0.351668i
$17$	−13.6850	+	13.6850i	−0.805003	+	0.805003i	−0.983873	−	0.178870i	$-0.942756\pi$
$17$	−13.6850	+	13.6850i	−0.805003	+	0.805003i	0.178870	+	0.983873i	$0.442756\pi$
$18$	1.24482	−	8.21583i	0.0691568	−	0.456435i
$19$		−	11.4465i		−	0.602446i	−0.953554	−	0.301223i	$-0.902605\pi$
$19$		−	11.4465i		−	0.602446i	0.953554	−	0.301223i	$-0.0973948\pi$
$20$	−15.1814	−	4.14733i	−0.759069	−	0.207366i
$21$	34.2768	−	1.91167i	1.63223	−	0.0910321i
$22$	−2.32738	−	0.623621i	−0.105790	−	0.0283464i
$23$	2.89082	−	10.7887i	0.125688	−	0.469074i	−0.874175	−	0.485611i	$-0.838597\pi$
$23$	2.89082	−	10.7887i	0.125688	−	0.469074i	0.999863	+	0.0165366i	$0.00526400\pi$
$24$	16.5675	−	10.8382i	0.690313	−	0.451594i
$25$	−0.243925	+	24.9988i	−0.00975701	+	0.999952i
$26$	−2.72847			−0.104941
$27$	−15.6496	+	22.0020i	−0.579615	+	0.814890i
$28$	25.4688	+	25.4688i	0.909601	+	0.909601i
$29$	23.0262	+	13.2942i	0.794005	+	0.458419i	0.841371	−	0.540458i	$-0.181749\pi$
$29$	23.0262	+	13.2942i	0.794005	+	0.458419i	−0.0473654	+	0.998878i	$0.515083\pi$
$30$	−10.2779	−	9.28269i	−0.342597	−	0.309423i
$31$	−21.8787	−	37.8950i	−0.705764	−	1.22242i	−0.966415	−	0.256985i	$-0.917271\pi$
$31$	−21.8787	−	37.8950i	−0.705764	−	1.22242i	0.260652	−	0.965433i	$-0.416063\pi$
$32$	31.2919	+	8.38463i	0.977870	+	0.262020i
$33$	5.83564	+	5.21910i	0.176838	+	0.158154i
$34$	−15.4750	−	8.93448i	−0.455146	−	0.262779i
$35$	28.8498	−	49.4110i	0.824279	−	1.41174i
$36$	−28.1522	+	3.14999i	−0.782004	+	0.0874996i
$37$	14.4324	−	14.4324i	0.390065	−	0.390065i	−0.484646	−	0.874711i	$-0.661051\pi$
$37$	14.4324	−	14.4324i	0.390065	−	0.390065i	0.874711	+	0.484646i	$0.161051\pi$
$38$	10.2083	−	2.73530i	0.268639	−	0.0719817i
$39$	7.91267	+	3.99833i	0.202889	+	0.102521i
$40$	0.160974	−	32.9958i	0.00402435	−	0.824896i
$41$	−0.924605	−	1.60146i	−0.0225513	−	0.0390601i	0.854529	−	0.519403i	$-0.173846\pi$
$41$	−0.924605	−	1.60146i	−0.0225513	−	0.0390601i	−0.877081	+	0.480343i	$0.840512\pi$
$42$	9.89582	+	30.1122i	0.235615	+	0.716957i
$43$	−49.0742	+	13.1494i	−1.14126	+	0.305800i	−0.779458	−	0.626455i	$-0.784505\pi$
$43$	−49.0742	+	13.1494i	−1.14126	+	0.305800i	−0.361803	+	0.932255i	$0.617839\pi$
$44$			8.21405i			0.186683i
$45$	16.2034	+	41.9815i	0.360075	+	0.932923i
$46$	10.3125			0.224184
$47$	−16.4309	−	61.3211i	−0.349594	−	1.30470i	−0.887152	−	0.461477i	$-0.847320\pi$
$47$	−16.4309	−	61.3211i	−0.349594	−	1.30470i	0.537558	−	0.843227i	$-0.319347\pi$
$48$	−14.5286	−	12.9936i	−0.302679	−	0.270701i
$49$	−70.9709	+	40.9750i	−1.44838	+	0.836225i
$50$	−22.3529	+	5.75630i	−0.447059	+	0.115126i
$51$	31.7853	+	48.5875i	0.623241	+	0.952696i
$52$	2.40740	+	8.98455i	0.0462962	+	0.172780i
$53$	6.43481	+	6.43481i	0.121412	+	0.121412i	0.765202	−	0.643790i	$-0.222639\pi$
$53$	6.43481	+	6.43481i	0.121412	+	0.121412i	−0.643790	+	0.765202i	$0.722639\pi$
$54$	−23.3618	−	8.69905i	−0.432625	−	0.161094i
$55$	12.6201	−	3.31564i	0.229456	−	0.0602844i
$56$	−37.7587	+	65.4000i	−0.674262	+	1.16786i
$57$	−33.6128	−	7.02686i	−0.589698	−	0.123278i
$58$	−6.35367	+	23.7122i	−0.109546	+	0.408831i
$59$	49.5170	−	28.5886i	0.839271	−	0.484553i	−0.0177457	−	0.999843i	$-0.505649\pi$
$59$	49.5170	−	28.5886i	0.839271	−	0.484553i	0.857016	+	0.515289i	$0.172316\pi$
$60$	−21.4984	+	42.0344i	−0.358306	+	0.700574i
$61$	16.8393	−	29.1666i	0.276055	−	0.478141i	−0.694346	−	0.719641i	$-0.744306\pi$
$61$	16.8393	−	29.1666i	0.276055	−	0.478141i	0.970401	+	0.241501i	$0.0776396\pi$
$62$	28.5676	−	28.5676i	0.460768	−	0.460768i
$63$	15.4285	−	101.828i	0.244896	−	1.61632i
$64$			3.92205i			0.0612820i
$65$	12.8321	−	7.32540i	0.197417	−	0.112698i
$66$	−3.26003	+	6.45157i	−0.0493944	+	0.0977511i
$67$	31.4072	+	8.41554i	0.468765	+	0.125605i	0.485466	−	0.874255i	$-0.338650\pi$
$67$	31.4072	+	8.41554i	0.468765	+	0.125605i	−0.0167016	+	0.999861i	$0.505317\pi$
$68$	−15.7663	+	58.8405i	−0.231857	+	0.865301i
$69$	−29.9066	−	15.1120i	−0.433429	−	0.219015i
$70$	50.9602	+	13.9216i	0.728003	+	0.198879i
$71$	−63.3498			−0.892251			−0.446126	−	0.894970i	$-0.647197\pi$
$71$	−63.3498			−0.892251			−0.446126	+	0.894970i	$0.647197\pi$
$72$	−21.6561	−	55.3043i	−0.300779	−	0.768115i
$73$	−50.9063	−	50.9063i	−0.697347	−	0.697347i	0.266491	−	0.963838i	$-0.414136\pi$
$73$	−50.9063	−	50.9063i	−0.697347	−	0.697347i	−0.963838	+	0.266491i	$0.914136\pi$
$74$	16.3201	+	9.42239i	0.220541	+	0.127330i
$75$	73.2597	+	16.0628i	0.976796	+	0.214171i
$76$	−18.0141	−	31.2013i	−0.237028	−	0.410544i
$77$	−28.8458	−	7.72922i	−0.374621	−	0.100379i
$78$	−1.67498	+	8.01221i	−0.0214741	+	0.102721i
$79$	59.5972	+	34.4084i	0.754395	+	0.435550i	0.827280	−	0.561790i	$-0.189887\pi$
$79$	59.5972	+	34.4084i	0.754395	+	0.435550i	−0.0728850	+	0.997340i	$0.523221\pi$
$80$	−31.4194	+	8.25473i	−0.392743	+	0.103184i
$81$	55.0023	+	59.4622i	0.679040	+	0.734101i
$82$	1.20728	−	1.20728i	0.0147230	−	0.0147230i
$83$	101.841	−	27.2882i	1.22700	−	0.328773i	0.413589	−	0.910464i	$-0.364275\pi$
$83$	101.841	−	27.2882i	1.22700	−	0.328773i	0.813410	+	0.581691i	$0.197609\pi$
$84$	90.4247	−	59.1546i	1.07648	−	0.704222i
$85$	96.7668	+	0.472089i	1.13843	+	0.00555398i
$86$	−23.4540	−	40.6236i	−0.272721	−	0.472367i
$87$	53.1740	−	59.4556i	0.611196	−	0.683398i
$88$	−16.6351	+	4.45735i	−0.189035	+	0.0506517i
$89$			136.887i			1.53806i	0.639213	+	0.769029i	$0.279260\pi$
$89$			136.887i			1.53806i	−0.639213	+	0.769029i	$0.720740\pi$
$90$	−33.5683	+	24.4828i	−0.372981	+	0.272031i
$91$	−33.8170			−0.371615
$92$	−9.09897	−	33.9578i	−0.0989019	−	0.369107i
$93$	−124.710	+	40.9838i	−1.34097	+	0.440686i
$94$	50.7615	−	29.3072i	0.540016	−	0.311778i
$95$	−40.6663	+	40.2715i	−0.428067	+	0.423910i
$96$	43.8313	−	86.7419i	0.456576	−	0.903561i
$97$	−9.45952	−	35.3034i	−0.0975209	−	0.363953i	0.899869	−	0.436161i	$-0.143662\pi$
$97$	−9.45952	−	35.3034i	−0.0975209	−	0.363953i	−0.997390	+	0.0722080i	$0.976995\pi$
$98$	−53.5023	−	53.5023i	−0.545941	−	0.545941i
$99$	18.9084	−	13.9325i	0.190994	−	0.140732i
$100$	38.6774	+	68.5268i	0.386774	+	0.685268i
$101$	−48.3142	+	83.6827i	−0.478359	+	0.828541i	−0.999692	−	0.0248116i	$-0.992101\pi$
$101$	−48.3142	+	83.6827i	−0.478359	+	0.828541i	0.521334	+	0.853353i	$0.325435\pi$
$102$	−35.7362	+	39.9577i	−0.350355	+	0.391743i
$103$	−6.87754	+	25.6673i	−0.0667723	+	0.249198i	−0.991242	−	0.132058i	$-0.957842\pi$
$103$	−6.87754	+	25.6673i	−0.0667723	+	0.249198i	0.924470	+	0.381255i	$0.124508\pi$
$104$	−16.8891	+	9.75093i	−0.162395	+	0.0937589i
$105$	−127.386	−	115.051i	−1.21320	−	1.09572i
$106$	−4.20106	+	7.27645i	−0.0396326	+	0.0686457i
$107$	−43.8389	+	43.8389i	−0.409709	+	0.409709i	−0.881637	−	0.471928i	$-0.843558\pi$
$107$	−43.8389	+	43.8389i	−0.409709	+	0.409709i	0.471928	+	0.881637i	$0.343558\pi$
$108$	−8.03231	+	84.6031i	−0.0743732	+	0.783362i
$109$		−	13.1212i		−	0.120378i	−0.998187	−	0.0601892i	$-0.980830\pi$
$109$		−	13.1212i		−	0.120378i	0.998187	−	0.0601892i	$-0.0191704\pi$
$110$	5.97274	+	10.4626i	0.0542977	+	0.0951149i
$111$	−33.5211	−	51.2409i	−0.301992	−	0.461630i
$112$	71.8156	+	19.2429i	0.641211	+	0.171812i
$113$	−8.41629	+	31.4100i	−0.0744805	+	0.277965i	−0.993115	−	0.117143i	$-0.962626\pi$
$113$	−8.41629	+	31.4100i	−0.0744805	+	0.277965i	0.918635	+	0.395108i	$0.129293\pi$
$114$	−1.76551	−	31.6560i	−0.0154869	−	0.277684i
$115$	−48.5001	+	27.6869i	−0.421740	+	0.240756i
$116$	83.6877			0.721446
$117$	16.5987	−	20.7812i	0.141869	−	0.177617i
$118$	37.3290	+	37.3290i	0.316347	+	0.316347i
$119$	−191.798	−	110.735i	−1.61175	−	0.930545i
$120$	−96.7940	−	20.7285i	−0.806617	−	0.172737i
$121$	57.0948	+	98.8911i	0.471858	+	0.817282i
$122$	30.0356	+	8.04801i	0.246193	+	0.0659673i
$123$	−5.27033	+	1.73200i	−0.0428482	+	0.0140813i
$124$	−119.276	−	68.8639i	−0.961902	−	0.555354i
$125$	89.6725	−	87.0853i	0.717380	−	0.696682i
$126$	94.4999	−	10.5737i	0.749999	−	0.0839185i
$127$	−108.223	+	108.223i	−0.852153	+	0.852153i	−0.990398	−	0.138245i	$-0.955854\pi$
$127$	−108.223	+	108.223i	−0.852153	+	0.852153i	0.138245	+	0.990398i	$0.455854\pi$
$128$	121.670	−	32.6013i	0.950544	−	0.254697i
$129$	8.48732	+	152.180i	0.0657932	+	1.17969i
$130$	9.59943	+	9.69355i	0.0738418	+	0.0745658i
$131$	−3.28859	−	5.69601i	−0.0251038	−	0.0434810i	0.853201	−	0.521583i	$-0.174658\pi$
$131$	−3.28859	−	5.69601i	−0.0251038	−	0.0434810i	−0.878304	+	0.478102i	$0.841325\pi$
$132$	24.1207	+	5.04252i	0.182733	+	0.0382009i
$133$	126.523	−	33.9016i	0.951298	−	0.254900i
$134$			30.0209i			0.224036i
$135$	133.227	−	21.8096i	0.986864	−	0.161552i
$136$	−127.719			−0.939110
$137$	22.5393	+	84.1178i	0.164520	+	0.613998i	0.998101	+	0.0616003i	$0.0196204\pi$
$137$	22.5393	+	84.1178i	0.164520	+	0.613998i	−0.833581	+	0.552398i	$0.813713\pi$
$138$	6.33072	−	30.2828i	0.0458748	−	0.219440i
$139$	−75.7500	+	43.7343i	−0.544964	+	0.314635i	−0.747088	−	0.664725i	$-0.768549\pi$
$139$	−75.7500	+	43.7343i	−0.544964	+	0.314635i	0.202124	+	0.979360i	$0.435215\pi$
$140$	0.878589	−	180.090i	0.00627564	−	1.28635i
$141$	−190.157	+	10.6054i	−1.34863	+	0.0752156i
$142$	−15.1384	−	56.4972i	−0.106608	−	0.397868i
$143$	−5.45322	−	5.45322i	−0.0381344	−	0.0381344i
$144$	−47.0750	+	34.6869i	−0.326910	+	0.240881i
$145$	−33.7809	−	128.578i	−0.232972	−	0.886745i
$146$	33.2349	−	57.5646i	0.227636	−	0.394278i
$147$	76.7557	+	233.561i	0.522148	+	1.58885i
$148$	16.6273	−	62.0538i	0.112346	−	0.419282i
$149$	144.963	−	83.6946i	0.972909	−	0.561709i	0.0727869	−	0.997348i	$-0.476811\pi$
$149$	144.963	−	83.6946i	0.972909	−	0.561709i	0.900122	+	0.435638i	$0.143477\pi$
$150$	3.18124	+	69.1736i	0.0212082	+	0.461157i
$151$	124.775	−	216.117i	0.826325	−	1.43124i	−0.0745766	−	0.997215i	$-0.523761\pi$
$151$	124.775	−	216.117i	0.826325	−	1.43124i	0.900902	−	0.434022i	$-0.142906\pi$
$152$	53.4135	−	53.4135i	0.351404	−	0.351404i
$153$	162.191	−	63.5108i	1.06007	−	0.415103i
$154$		−	27.5726i		−	0.179043i
$155$	−57.6565	+	211.053i	−0.371977	+	1.36163i
$156$	27.8612	−	1.55387i	0.178597	−	0.00996068i
$157$	−48.3954	−	12.9675i	−0.308251	−	0.0825957i	0.101377	−	0.994848i	$-0.467675\pi$
$157$	−48.3954	−	12.9675i	−0.308251	−	0.0825957i	−0.409629	+	0.912252i	$0.634342\pi$
$158$	−16.4448	+	61.3729i	−0.104081	+	0.388436i
$159$	22.8462	−	14.9457i	0.143687	−	0.0939980i
$160$	−80.3040	−	140.671i	−0.501900	−	0.879194i
$161$	127.814			0.793875
$162$	−39.8865	+	63.2620i	−0.246213	+	0.390506i
$163$	−23.5188	−	23.5188i	−0.144287	−	0.144287i	0.631273	−	0.775560i	$-0.282533\pi$
$163$	−23.5188	−	23.5188i	−0.144287	−	0.144287i	−0.775560	+	0.631273i	$0.782533\pi$
$164$	−5.04066	−	2.91023i	−0.0307358	−	0.0177453i
$165$	−1.98910	−	39.0946i	−0.0120552	−	0.236937i
$166$	48.6728	+	84.3037i	0.293210	+	0.507854i
$167$	106.889	+	28.6408i	0.640052	+	0.171502i	0.564227	−	0.825620i	$-0.309174\pi$
$167$	106.889	+	28.6408i	0.640052	+	0.171502i	0.0758252	+	0.997121i	$0.475841\pi$
$168$	168.869	+	151.027i	1.00517	+	0.898973i
$169$	138.795	+	80.1335i	0.821274	+	0.474163i
$170$	22.7028	+	86.4122i	0.133546	+	0.508307i
$171$	−41.2690	+	94.3908i	−0.241339	+	0.551993i
$172$	−113.075	+	113.075i	−0.657411	+	0.657411i
$173$	−65.8811	+	17.6528i	−0.380816	+	0.102039i	−0.444149	−	0.895953i	$-0.646494\pi$
$173$	−65.8811	+	17.6528i	−0.380816	+	0.102039i	0.0633327	+	0.997992i	$0.479827\pi$
$174$	65.7309	+	33.2143i	0.377764	+	0.190887i
$175$	−277.045	+	71.3441i	−1.58311	+	0.407681i
$176$	8.47772	+	14.6838i	0.0481688	+	0.0834309i
$177$	−53.5531	−	162.958i	−0.302560	−	0.920665i
$178$	−122.080	+	32.7112i	−0.685843	+	0.183771i
$179$		−	303.920i		−	1.69788i	−0.528490	−	0.848939i	$-0.677242\pi$
$179$		−	303.920i		−	1.69788i	0.528490	−	0.848939i	$-0.322758\pi$
$180$	110.237	+	88.9349i	0.612429	+	0.494083i
$181$	172.576			0.953460			0.476730	−	0.879050i	$-0.341822\pi$
$181$	172.576			0.953460			0.476730	+	0.879050i	$0.341822\pi$
$182$	−8.08107	−	30.1589i	−0.0444015	−	0.165708i
$183$	−75.3107	−	67.3540i	−0.411534	−	0.368055i
$184$	63.8337	−	36.8544i	0.346922	−	0.200296i
$185$	−102.051	−	0.497870i	−0.551628	−	0.00269119i
$186$	−66.3519	−	101.427i	−0.356731	−	0.545304i
$187$	−13.0721	−	48.7856i	−0.0699041	−	0.260886i
$188$	−141.293	−	141.293i	−0.751561	−	0.751561i
$189$	−289.548	−	107.817i	−1.53200	−	0.570460i
$190$	−45.6331	−	26.6439i	−0.240174	−	0.140231i
$191$	143.618	−	248.754i	0.751927	−	1.30238i	−0.194960	−	0.980811i	$-0.562458\pi$
$191$	143.618	−	248.754i	0.751927	−	1.30238i	0.946887	−	0.321565i	$-0.104209\pi$
$192$	11.5172	+	2.40770i	0.0599852	+	0.0125401i
$193$	9.52264	−	35.5390i	0.0493401	−	0.184140i	−0.936858	−	0.349711i	$-0.886280\pi$
$193$	9.52264	−	35.5390i	0.0493401	−	0.184140i	0.986198	+	0.165571i	$0.0529466\pi$
$194$	29.2241	−	16.8725i	0.150640	−	0.0869719i
$195$	−13.6337	−	42.1788i	−0.0699162	−	0.216301i
$196$	−128.970	+	223.383i	−0.658013	+	1.13971i
$197$	−226.659	+	226.659i	−1.15056	+	1.15056i	−0.164114	+	0.986441i	$0.552476\pi$
$197$	−226.659	+	226.659i	−1.15056	+	1.15056i	−0.986441	+	0.164114i	$0.947524\pi$
$198$	16.9439	+	13.5337i	0.0855751	+	0.0683520i
$199$			107.508i			0.540240i	0.962827	+	0.270120i	$0.0870633\pi$
$199$			107.508i			0.540240i	−0.962827	+	0.270120i	$0.912937\pi$
$200$	−117.792	+	115.515i	−0.588960	+	0.577577i
$201$	43.9930	−	87.0617i	0.218870	−	0.433143i
$202$	−86.1760	−	23.0908i	−0.426614	−	0.114311i
$203$	−78.7481	+	293.892i	−0.387922	+	1.44774i
$204$	163.107	+	82.4194i	0.799546	+	0.404017i
$205$	−2.43660	+	8.91922i	−0.0118858	+	0.0435084i
$206$	−24.5344			−0.119099
$207$	−62.7360	+	78.5441i	−0.303073	+	0.379440i
$208$	13.5765	+	13.5765i	0.0652718	+	0.0652718i
$209$	25.8695	+	14.9358i	0.123778	+	0.0714631i
$210$	72.1648	−	141.099i	0.343642	−	0.671901i
$211$	45.5871	+	78.9591i	0.216053	+	0.374214i	0.953598	−	0.301084i	$-0.0973484\pi$
$211$	45.5871	+	78.9591i	0.216053	+	0.374214i	−0.737545	+	0.675298i	$0.764015\pi$
$212$	27.6672	+	7.41341i	0.130506	+	0.0349689i
$213$	−38.8898	+	186.028i	−0.182581	+	0.873371i
$214$	−49.5727	−	28.6208i	−0.231648	−	0.133742i
$215$	219.371	+	128.085i	1.02033	+	0.595745i
$216$	−175.697	+	29.6428i	−0.813410	+	0.137235i
$217$	354.070	−	354.070i	1.63166	−	1.63166i
$218$	11.7019	−	3.13551i	0.0536784	−	0.0143831i
$219$	−180.738	+	118.237i	−0.825289	+	0.539893i
$220$	29.1824	−	28.8990i	0.132647	−	0.131359i
$221$	−28.5965	−	49.5306i	−0.129396	−	0.224120i
$222$	37.6877	−	42.1399i	0.169765	−	0.189819i
$223$	229.262	−	61.4305i	1.02808	−	0.275473i	0.294914	−	0.955524i	$-0.404709\pi$
$223$	229.262	−	61.4305i	1.02808	−	0.275473i	0.733165	+	0.680051i	$0.238042\pi$
$224$			370.715i			1.65498i
$225$	92.1420	−	205.268i	0.409520	−	0.912301i
$226$	−30.0236			−0.132848
$227$	−31.7905	−	118.644i	−0.140046	−	0.522660i	−0.999926	−	0.0121631i	$-0.996128\pi$
$227$	−31.7905	−	118.644i	−0.140046	−	0.522660i	0.859880	−	0.510497i	$-0.170538\pi$
$228$	−102.682	+	33.7446i	−0.450359	+	0.148003i
$229$	285.203	−	164.662i	1.24543	−	0.719048i	0.275234	−	0.961377i	$-0.411245\pi$
$229$	285.203	−	164.662i	1.24543	−	0.719048i	0.970194	+	0.242329i	$0.0779114\pi$
$230$	−36.2818	−	36.6376i	−0.157747	−	0.159294i
$231$	−40.4051	+	79.9615i	−0.174914	+	0.346154i
$232$	45.4131	+	169.484i	0.195746	+	0.730534i
$233$	−227.098	−	227.098i	−0.974670	−	0.974670i	0.0250170	−	0.999687i	$-0.492036\pi$
$233$	−227.098	−	227.098i	−0.974670	−	0.974670i	−0.999687	+	0.0250170i	$0.992036\pi$
$234$	22.4997	+	9.83722i	0.0961528	+	0.0420394i
$235$	−160.050	+	274.117i	−0.681063	+	1.16646i
$236$	89.9838	−	155.856i	0.381287	−	0.660409i
$237$	137.627	−	153.885i	0.580705	−	0.649305i
$238$	52.9235	−	197.513i	0.222367	−	0.829887i
$239$	−123.443	+	71.2696i	−0.516496	+	0.298199i	−0.735500	−	0.677525i	$-0.763053\pi$
$239$	−123.443	+	71.2696i	−0.516496	+	0.298199i	0.219004	+	0.975724i	$0.429719\pi$
$240$	4.95214	+	97.3312i	0.0206339	+	0.405547i
$241$	−228.867	+	396.410i	−0.949656	+	1.64485i	−0.203509	+	0.979073i	$0.565234\pi$
$241$	−228.867	+	396.410i	−0.949656	+	1.64485i	−0.746148	+	0.665780i	$0.768099\pi$
$242$	−74.5503	+	74.5503i	−0.308059	+	0.308059i
$243$	208.377	−	125.012i	0.857519	−	0.514453i
$244$		−	106.005i		−	0.434446i
$245$	395.266	+	107.981i	1.61333	+	0.440738i
$246$	−2.80407	−	4.28634i	−0.0113987	−	0.0174242i
$247$	32.6736	+	8.75487i	0.132282	+	0.0354448i
$248$	74.7380	−	278.926i	0.301363	−	1.12470i
$249$	−17.6132	−	315.810i	−0.0707359	−	1.26831i
$250$	99.0937	+	59.1622i	0.396375	+	0.236649i
$251$	102.580			0.408684			0.204342	−	0.978900i	$-0.434494\pi$
$251$	102.580			0.408684			0.204342	+	0.978900i	$0.434494\pi$
$252$	−118.198	−	301.848i	−0.469039	−	1.19781i
$253$	20.6109	+	20.6109i	0.0814660	+	0.0814660i
$254$	−122.378	−	70.6552i	−0.481805	−	0.278170i
$255$	60.7904	−	283.868i	0.238394	−	1.11321i
$256$	65.9936	+	114.304i	0.257788	+	0.446501i
$257$	−108.426	−	29.0526i	−0.421890	−	0.113045i	0.0416268	−	0.999133i	$-0.486746\pi$
$257$	−108.426	−	29.0526i	−0.421890	−	0.113045i	−0.463517	+	0.886088i	$0.653413\pi$
$258$	−133.690	+	43.9348i	−0.518178	+	0.170290i
$259$	202.273	+	116.782i	0.780975	+	0.450896i
$260$	23.4499	−	40.1627i	0.0901921	−	0.154472i
$261$	−141.949	−	192.646i	−0.543868	−	0.738106i
$262$	4.29401	−	4.29401i	0.0163893	−	0.0163893i
$263$	−143.911	+	38.5609i	−0.547191	+	0.146619i	−0.521815	−	0.853059i	$-0.674745\pi$
$263$	−143.911	+	38.5609i	−0.547191	+	0.146619i	−0.0253757	+	0.999678i	$0.508078\pi$
$264$	2.87701	+	51.5855i	0.0108978	+	0.195400i
$265$	0.221980	−	45.5005i	0.000837659	−	0.171700i
$266$	60.4689	+	104.735i	0.227327	+	0.393742i
$267$	401.972	+	84.0336i	1.50551	+	0.314733i
$268$	98.8554	−	26.4882i	0.368864	−	0.0988367i
$269$		−	31.0843i		−	0.115555i	−0.998329	−	0.0577774i	$-0.981599\pi$
$269$		−	31.0843i		−	0.115555i	0.998329	−	0.0577774i	$-0.0184014\pi$
$270$	51.2869	+	113.604i	0.189951	+	0.420754i
$271$	4.22458			0.0155889			0.00779444	−	0.999970i	$-0.497519\pi$
$271$	4.22458			0.0155889			0.00779444	+	0.999970i	$0.497519\pi$
$272$	32.5447	+	121.458i	0.119650	+	0.446538i
$273$	−20.7599	+	99.3042i	−0.0760435	+	0.363751i
$274$	−69.6325	+	40.2024i	−0.254133	+	0.146724i
$275$	−56.1802	−	33.1707i	−0.204292	−	0.120621i
$276$	−105.304	+	5.87296i	−0.381535	+	0.0212788i
$277$	−35.9912	−	134.321i	−0.129932	−	0.484913i	0.870035	−	0.492990i	$-0.164096\pi$
$277$	−35.9912	−	134.321i	−0.129932	−	0.484913i	−0.999967	+	0.00807616i	$0.997429\pi$
$278$	−57.1051	−	57.1051i	−0.205414	−	0.205414i
$279$	43.7914	+	391.374i	0.156958	+	1.40277i
$280$	365.193	−	95.9462i	1.30426	−	0.342665i
$281$	−251.702	+	435.961i	−0.895737	+	1.55146i	−0.0628471	+	0.998023i	$0.520018\pi$
$281$	−251.702	+	435.961i	−0.895737	+	1.55146i	−0.832890	+	0.553439i	$0.813315\pi$
$282$	−54.8991	−	167.053i	−0.194678	−	0.592388i
$283$	−37.9311	+	141.561i	−0.134032	+	0.500214i	0.865968	+	0.500099i	$0.166703\pi$
$283$	−37.9311	+	141.561i	−0.134032	+	0.500214i	−1.00000		0.000114837i	$0.999963\pi$
$284$	−172.682	+	99.6980i	−0.608035	+	0.351049i
$285$	93.2933	+	144.140i	0.327345	+	0.505753i
$286$	3.56021	−	6.16647i	0.0124483	−	0.0215611i
$287$	14.9632	−	14.9632i	0.0521365	−	0.0521365i
$288$	−227.812	−	181.961i	−0.791012	−	0.631811i
$289$		−	85.5611i		−	0.296059i
$290$	106.597	−	60.8524i	0.367576	−	0.209836i
$291$	−109.476	+	6.10568i	−0.376207	+	0.0209817i
$292$	−218.878	−	58.6481i	−0.749581	−	0.200850i
$293$	−88.7756	+	331.315i	−0.302988	+	1.13077i	0.631675	+	0.775234i	$0.282368\pi$
$293$	−88.7756	+	331.315i	−0.302988	+	1.13077i	−0.934663	+	0.355535i	$0.884299\pi$
$294$	−189.955	+	124.266i	−0.646105	+	0.422673i
$295$	−275.781	−	75.3391i	−0.934850	−	0.255387i
$296$	134.694			0.455047
$297$	−29.3054	−	64.0779i	−0.0986714	−	0.215751i
$298$	109.282	+	109.282i	0.366720	+	0.366720i
$299$	28.5850	+	16.5035i	0.0956019	+	0.0551958i
$300$	224.974	−	71.5091i	0.749913	−	0.238364i
$301$	−290.692	−	503.493i	−0.965753	−	1.67273i
$302$	222.556	+	59.6337i	0.736941	+	0.197463i
$303$	216.076	+	193.247i	0.713123	+	0.637780i
$304$	−64.4057	−	37.1847i	−0.211861	−	0.122318i
$305$	−162.866	+	42.7894i	−0.533987	+	0.140293i
$306$	95.3986	+	129.470i	0.311760	+	0.423103i
$307$	−19.2282	+	19.2282i	−0.0626327	+	0.0626327i	−0.737729	−	0.675097i	$-0.764102\pi$
$307$	−19.2282	+	19.2282i	−0.0626327	+	0.0626327i	0.675097	+	0.737729i	$0.264102\pi$
$308$	−90.7934	+	24.3280i	−0.294784	+	0.0789870i
$309$	71.1506	+	35.9529i	0.230261	+	0.116353i
$310$	−202.001	−	0.985487i	−0.651616	−	0.00317899i
$311$	−275.689	−	477.507i	−0.886459	−	1.53539i	−0.844032	−	0.536293i	$-0.819824\pi$
$311$	−275.689	−	477.507i	−0.886459	−	1.53539i	−0.0424271	−	0.999100i	$-0.513509\pi$
$312$	18.2657	+	55.5811i	0.0585440	+	0.178145i
$313$	−463.260	+	124.130i	−1.48006	+	0.396582i	−0.906368	−	0.422488i	$-0.861157\pi$
$313$	−463.260	+	124.130i	−1.48006	+	0.396582i	−0.573694	+	0.819070i	$0.694490\pi$
$314$		−	46.2592i		−	0.147322i
$315$	−416.049	+	303.442i	−1.32079	+	0.963308i
$316$	216.604			0.685455
$317$	−72.3487	−	270.009i	−0.228229	−	0.851763i	−0.981085	−	0.193578i	$-0.937991\pi$
$317$	−72.3487	−	270.009i	−0.228229	−	0.851763i	0.752856	−	0.658186i	$-0.228676\pi$
$318$	18.7884	+	16.8034i	0.0590831	+	0.0528409i
$319$	−60.0908	+	34.6934i	−0.188372	+	0.108757i
$320$	13.9340	−	13.7987i	0.0435438	−	0.0431210i
$321$	101.821	+	155.646i	0.317201	+	0.484878i
$322$	30.5430	+	113.988i	0.0948541	+	0.354000i
$323$	156.646	+	156.646i	0.484971	+	0.484971i
$324$	243.508	+	75.5239i	0.751566	+	0.233099i
$325$	−71.1718	−	19.8167i	−0.218990	−	0.0609744i
$326$	15.3545	−	26.5949i	0.0470998	−	0.0815793i
$327$	−38.5307	−	8.05498i	−0.117831	−	0.0246330i
$328$	3.15847	−	11.7876i	0.00962948	−	0.0359377i
$329$	629.143	−	363.236i	1.91229	−	1.10406i
$330$	34.3903	−	11.1162i	0.104213	−	0.0336853i
$331$	−61.1788	+	105.965i	−0.184830	+	0.320136i	−0.943519	−	0.331317i	$-0.892507\pi$
$331$	−61.1788	+	105.965i	−0.184830	+	0.320136i	0.758689	+	0.651453i	$0.225840\pi$
$332$	234.657	−	234.657i	0.706800	−	0.706800i
$333$	−171.048	+	66.9791i	−0.513658	+	0.201139i
$334$			102.171i			0.305900i
$335$	−80.6001	−	141.190i	−0.240597	−	0.421462i
$336$	100.594	−	199.075i	0.299387	−	0.592485i
$337$	−319.193	−	85.5276i	−0.947161	−	0.253791i	−0.248004	−	0.968759i	$-0.579775\pi$
$337$	−319.193	−	85.5276i	−0.947161	−	0.253791i	−0.699157	+	0.714968i	$0.746441\pi$
$338$	−38.2982	+	142.931i	−0.113308	+	0.422872i
$339$	87.0694	+	43.9969i	0.256842	+	0.129784i
$340$	264.514	−	151.002i	0.777983	−	0.444122i
$341$	114.192			0.334875
$342$	−94.0423	−	14.2488i	−0.274977	−	0.0416632i
$343$	−266.621	−	266.621i	−0.777321	−	0.777321i
$344$	−290.358	−	167.638i	−0.844065	−	0.487321i
$345$	51.5295	+	159.418i	0.149361	+	0.462081i
$346$	−31.4865	−	54.5363i	−0.0910016	−	0.157619i
$347$	343.816	+	92.1251i	0.990823	+	0.265490i	0.717596	−	0.696459i	$-0.245242\pi$
$347$	343.816	+	92.1251i	0.990823	+	0.265490i	0.273227	+	0.961950i	$0.411909\pi$
$348$	51.3750	−	245.750i	0.147629	−	0.706180i
$349$	−43.1516	−	24.9136i	−0.123644	−	0.0713857i	0.436903	−	0.899509i	$-0.356075\pi$
$349$	−43.1516	−	24.9136i	−0.123644	−	0.0713857i	−0.560546	+	0.828123i	$0.689409\pi$
$350$	−129.831	−	230.028i	−0.370945	−	0.657222i
$351$	−50.8345	−	61.4997i	−0.144828	−	0.175213i
$352$	−59.7804	+	59.7804i	−0.169831	+	0.169831i
$353$	606.831	−	162.600i	1.71907	−	0.460623i	0.741450	−	0.671008i	$-0.234138\pi$
$353$	606.831	−	162.600i	1.71907	−	0.460623i	0.977619	+	0.210385i	$0.0674718\pi$
$354$	132.533	−	86.7014i	0.374387	−	0.244919i
$355$	222.880	+	225.065i	0.627831	+	0.633987i
$356$	215.429	+	373.134i	0.605137	+	1.04813i
$357$	−442.918	+	495.240i	−1.24067	+	1.38723i
$358$	271.045	−	72.6263i	0.757109	−	0.202867i
$359$		−	81.3046i		−	0.226475i	−0.993568	−	0.113238i	$-0.963878\pi$
$359$		−	81.3046i		−	0.226475i	0.993568	−	0.113238i	$-0.0361221\pi$
$360$	−120.290	+	271.512i	−0.334140	+	0.754201i
$361$	229.978			0.637059
$362$	41.2397	+	153.908i	0.113922	+	0.425162i
$363$	325.445	−	106.952i	0.896544	−	0.294633i
$364$	−92.1799	+	53.2201i	−0.253241	+	0.146209i
$365$	−1.75610	+	359.958i	−0.00481123	+	0.986186i
$366$	42.0717	−	83.2595i	0.114950	−	0.227485i
$367$	15.5484	+	58.0273i	0.0423661	+	0.158113i	0.983868	−	0.178894i	$-0.0572521\pi$
$367$	15.5484	+	58.0273i	0.0423661	+	0.158113i	−0.941502	+	0.337007i	$0.890585\pi$
$368$	−51.3136	−	51.3136i	−0.139439	−	0.139439i
$369$	1.85065	+	16.5397i	0.00501531	+	0.0448230i
$370$	−23.9426	−	91.1312i	−0.0647098	−	0.246301i
$371$	−52.0684	+	90.1851i	−0.140346	+	0.243086i
$372$	−275.442	+	307.981i	−0.740436	+	0.827906i
$373$	−50.4882	+	188.424i	−0.135357	+	0.505159i	0.864639	+	0.502393i	$0.167547\pi$
$373$	−50.4882	+	188.424i	−0.135357	+	0.505159i	−0.999996	+	0.00276585i	$0.999120\pi$
$374$	40.3846	−	23.3161i	0.107980	−	0.0623425i
$375$	−200.679	−	316.786i	−0.535143	−	0.844761i
$376$	209.474	−	362.820i	0.557112	−	0.964946i
$377$	−55.5594	+	55.5594i	−0.147372	+	0.147372i
$378$	26.9625	−	283.992i	0.0713294	−	0.751301i
$379$			145.837i			0.384795i	0.981317	+	0.192398i	$0.0616263\pi$
$379$			145.837i			0.384795i	−0.981317	+	0.192398i	$0.938374\pi$
$380$	−47.4722	+	173.773i	−0.124927	+	0.457298i
$381$	251.363	+	384.237i	0.659745	+	1.00850i
$382$	256.166	+	68.6394i	0.670591	+	0.179684i
$383$	195.458	−	729.460i	0.510335	−	1.90459i	0.0934803	−	0.995621i	$-0.470201\pi$
$383$	195.458	−	729.460i	0.510335	−	1.90459i	0.416854	−	0.908973i	$-0.363133\pi$
$384$	−21.0426	−	377.299i	−0.0547984	−	0.982549i
$385$	74.0268	+	129.675i	0.192277	+	0.336818i
$386$	33.9703			0.0880059
$387$	452.088	+	68.4982i	1.16819	+	0.176998i
$388$	−81.3446	−	81.3446i	−0.209651	−	0.209651i
$389$	−37.3613	−	21.5705i	−0.0960444	−	0.0554512i	0.451209	−	0.892419i	$-0.350993\pi$
$389$	−37.3613	−	21.5705i	−0.0960444	−	0.0554512i	−0.547253	+	0.836967i	$0.684326\pi$
$390$	34.3583	−	22.2381i	0.0880982	−	0.0570209i
$391$	108.083	+	187.205i	0.276427	+	0.478785i
$392$	−522.381	−	139.972i	−1.33260	−	0.357070i
$393$	−18.7453	+	6.16029i	−0.0476979	+	0.0156750i
$394$	−256.305	−	147.978i	−0.650520	−	0.375578i
$395$	−87.4331	−	332.791i	−0.221350	−	0.842508i
$396$	29.6149	−	67.7354i	0.0747851	−	0.171049i
$397$	−89.7953	+	89.7953i	−0.226185	+	0.226185i	−0.811097	−	0.584912i	$-0.801129\pi$
$397$	−89.7953	+	89.7953i	−0.226185	+	0.226185i	0.584912	+	0.811097i	$0.301129\pi$
$398$	−95.8785	+	25.6906i	−0.240901	+	0.0645491i
$399$	−21.8819	−	392.348i	−0.0548419	−	0.983328i
$400$	139.868	+	82.5829i	0.349670	+	0.206457i
$401$	−144.777	−	250.762i	−0.361041	−	0.625341i	0.627092	−	0.778946i	$-0.284245\pi$
$401$	−144.777	−	250.762i	−0.361041	−	0.625341i	−0.988132	+	0.153604i	$0.950912\pi$
$402$	88.1569	+	18.4295i	0.219296	+	0.0458445i
$403$	124.904	−	33.4679i	0.309936	−	0.0830470i
$404$			304.142i			0.752826i
$405$	17.7422	−	404.611i	0.0438080	−	0.999040i
$406$	−280.919			−0.691919
$407$	13.7859	+	51.4498i	0.0338721	+	0.126412i
$408$	−78.4053	+	375.049i	−0.192170	+	0.919238i
$409$	−178.588	+	103.108i	−0.436646	+	0.252098i	−0.702174	−	0.712006i	$-0.747787\pi$
$409$	−178.588	+	103.108i	−0.436646	+	0.252098i	0.265528	+	0.964103i	$0.414454\pi$
$410$	−8.53667	−	0.0416472i	−0.0208212	−	0.000101579i
$411$	260.850	−	14.5480i	0.634671	−	0.0353967i
$412$	21.6473	+	80.7889i	0.0525421	+	0.196090i
$413$	462.659	+	462.659i	1.12024	+	1.12024i
$414$	−85.0396	−	37.1805i	−0.205410	−	0.0898081i
$415$	−455.249	−	265.808i	−1.09699	−	0.640501i
$416$	−47.8673	+	82.9087i	−0.115066	+	0.199300i
$417$	81.9244	+	249.289i	0.196461	+	0.597816i
$418$	−7.13826	+	26.6403i	−0.0170772	+	0.0637329i
$419$	−621.108	+	358.597i	−1.48236	+	0.855839i	−0.999799	−	0.0200248i	$-0.993625\pi$
$419$	−621.108	+	358.597i	−1.48236	+	0.855839i	−0.482558	+	0.875864i	$0.660292\pi$
$420$	−528.297	−	113.135i	−1.25785	−	0.269369i
$421$	124.562	−	215.747i	0.295871	−	0.512463i	−0.679316	−	0.733846i	$-0.737724\pi$
$421$	124.562	−	215.747i	0.295871	−	0.512463i	0.975187	+	0.221382i	$0.0710569\pi$
$422$	−59.5243	+	59.5243i	−0.141053	+	0.141053i
$423$	−85.5925	+	564.911i	−0.202346	+	1.33549i
$424$			60.0544i			0.141638i
$425$	−338.772	−	345.448i	−0.797110	−	0.812819i
$426$	−175.198	+	9.77111i	−0.411264	+	0.0229369i
$427$	372.264	+	99.7479i	0.871814	+	0.233602i
$428$	−50.5058	+	188.490i	−0.118004	+	0.440398i
$429$	−19.3612	+	12.6658i	−0.0451309	+	0.0295241i
$430$	−61.8080	+	226.250i	−0.143739	+	0.526162i
$431$	−234.096			−0.543146			−0.271573	−	0.962418i	$-0.587544\pi$
$431$	−234.096			−0.543146			−0.271573	+	0.962418i	$0.587544\pi$
$432$	72.9598	+	159.531i	0.168888	+	0.369284i
$433$	372.915	+	372.915i	0.861236	+	0.861236i	0.991482	−	0.130245i	$-0.0415765\pi$
$433$	372.915	+	372.915i	0.861236	+	0.861236i	−0.130245	+	0.991482i	$0.541577\pi$
$434$	400.380	+	231.159i	0.922534	+	0.532625i
$435$	−398.309	+	20.2657i	−0.915654	+	0.0465878i
$436$	−20.6498	−	35.7665i	−0.0473619	−	0.0820332i
$437$	−123.493	−	33.0897i	−0.282592	−	0.0757202i
$438$	−148.637	−	132.933i	−0.339353	−	0.303500i
$439$	−558.854	−	322.654i	−1.27302	−	0.734976i	−0.297461	−	0.954734i	$-0.596140\pi$
$439$	−558.854	−	322.654i	−1.27302	−	0.734976i	−0.975554	+	0.219758i	$0.929473\pi$
$440$	74.3620	+	43.4180i	0.169005	+	0.0986773i
$441$	732.977	−	82.0138i	1.66208	−	0.185972i
$442$	37.3393	−	37.3393i	0.0844780	−	0.0844780i
$443$	−265.585	+	71.1633i	−0.599515	+	0.160640i	−0.545798	−	0.837917i	$-0.683773\pi$
$443$	−265.585	+	71.1633i	−0.599515	+	0.160640i	−0.0537167	+	0.998556i	$0.517107\pi$
$444$	−172.015	−	86.9204i	−0.387421	−	0.195767i
$445$	486.325	−	481.603i	1.09286	−	1.08225i
$446$	109.571	+	189.782i	0.245675	+	0.425521i
$447$	−156.779	−	477.067i	−0.350737	−	1.06726i
$448$	−43.3520	+	11.6161i	−0.0967679	+	0.0259289i
$449$		−	190.668i		−	0.424651i	−0.977199	−	0.212325i	$-0.931896\pi$
$449$		−	190.668i		−	0.424651i	0.977199	−	0.212325i	$-0.0681036\pi$
$450$	205.082	+	33.1231i	0.455739	+	0.0736070i
$451$	4.82584			0.0107003
$452$	26.4906	+	98.8642i	0.0586075	+	0.218726i
$453$	−558.033	−	499.076i	−1.23186	−	1.10171i
$454$	98.2131	−	56.7034i	0.216328	−	0.124897i
$455$	118.976	+	120.143i	0.261486	+	0.264050i
$456$	−124.060	−	189.640i	−0.272061	−	0.415876i
$457$	80.9404	+	302.074i	0.177112	+	0.660993i	0.996182	+	0.0872988i	$0.0278235\pi$
$457$	80.9404	+	302.074i	0.177112	+	0.660993i	−0.819070	+	0.573694i	$0.805510\pi$
$458$	215.004	+	215.004i	0.469441	+	0.469441i
$459$	−86.9334	−	515.265i	−0.189397	−	1.12258i
$460$	−88.6310	+	151.798i	−0.192676	+	0.329996i
$461$	−110.361	+	191.151i	−0.239395	+	0.414645i	−0.960541	−	0.278139i	$-0.910283\pi$
$461$	−110.361	+	191.151i	−0.239395	+	0.414645i	0.721146	+	0.692784i	$0.243616\pi$
$462$	−80.9673	−	16.9265i	−0.175254	−	0.0366374i
$463$	74.7605	−	279.010i	0.161470	−	0.602613i	−0.836994	−	0.547211i	$-0.815689\pi$
$463$	74.7605	−	279.010i	0.161470	−	0.602613i	0.998464	−	0.0554018i	$-0.0176440\pi$
$464$	149.604	−	86.3740i	0.322423	−	0.186151i
$465$	584.366	+	298.872i	1.25670	+	0.642736i
$466$	148.264	−	256.801i	0.318163	−	0.551075i
$467$	−249.664	+	249.664i	−0.534613	+	0.534613i	−0.921942	−	0.387329i	$-0.873398\pi$
$467$	−249.664	+	249.664i	−0.534613	+	0.534613i	0.387329	+	0.921942i	$0.373398\pi$
$468$	12.5407	−	82.7688i	0.0267964	−	0.176856i
$469$			372.082i			0.793352i
$470$	−282.712	−	77.2327i	−0.601515	−	0.164325i
$471$	−67.7888	+	134.153i	−0.143925	+	0.284827i
$472$	364.470	+	97.6593i	0.772181	+	0.206905i
$473$	34.3157	−	128.068i	0.0725490	−	0.270756i
$474$	170.127	+	85.9666i	0.358918	+	0.181364i
$475$	286.148	+	2.79208i	0.602417	+	0.00587807i
$476$	−697.084			−1.46446
$477$	−29.8632	−	76.2633i	−0.0626064	−	0.159881i
$478$	−93.0588	−	93.0588i	−0.194684	−	0.194684i
$479$	757.971	+	437.615i	1.58240	+	0.913600i	0.994508	+	0.104663i	$0.0333763\pi$
$479$	757.971	+	437.615i	1.58240	+	0.913600i	0.587895	+	0.808938i	$0.299957\pi$
$480$	−462.381	+	149.458i	−0.963293	+	0.311370i
$481$	30.1582	+	52.2355i	0.0626989	+	0.108598i
$482$	−408.221	−	109.382i	−0.846931	−	0.226934i
$483$	78.4636	−	375.328i	0.162450	−	0.777077i
$484$	311.263	+	179.708i	0.643106	+	0.371298i
$485$	−92.1430	+	157.813i	−0.189986	+	0.325388i
$486$	161.284	+	155.963i	0.331860	+	0.320912i
$487$	−241.500	+	241.500i	−0.495894	+	0.495894i	−0.910157	−	0.414263i	$-0.864039\pi$
$487$	−241.500	+	241.500i	−0.495894	+	0.495894i	0.414263	+	0.910157i	$0.364039\pi$
$488$	214.681	−	57.5235i	0.439919	−	0.117876i
$489$	−83.5012	+	54.6253i	−0.170759	+	0.111708i
$490$	−1.84565	+	378.314i	−0.00376663	+	0.772069i
$491$	−14.2377	−	24.6604i	−0.0289973	−	0.0502248i	0.851163	−	0.524902i	$-0.175898\pi$
$491$	−14.2377	−	24.6604i	−0.0289973	−	0.0502248i	−0.880160	+	0.474677i	$0.842565\pi$
$492$	−11.6403	+	13.0154i	−0.0236592	+	0.0264542i
$493$	−497.045	+	133.183i	−1.00821	+	0.270148i
$494$			31.2314i			0.0632214i
$495$	−116.023	−	18.1587i	−0.234390	−	0.0366842i
$496$	−284.298			−0.573181
$497$	−187.627	−	700.232i	−0.377518	−	1.40892i
$498$	277.439	−	91.1754i	0.557107	−	0.183083i
$499$	409.907	−	236.660i	0.821457	−	0.474269i	−0.0294615	−	0.999566i	$-0.509379\pi$
$499$	409.907	−	236.660i	0.821457	−	0.474269i	0.850919	+	0.525297i	$0.176046\pi$
$500$	107.381	−	378.505i	0.214763	−	0.757010i
$501$	149.722	−	296.298i	0.298846	−	0.591414i
$502$	24.5130	+	91.4836i	0.0488306	+	0.182238i
$503$	58.9981	+	58.9981i	0.117292	+	0.117292i	0.763317	−	0.646024i	$-0.223570\pi$
$503$	58.9981	+	58.9981i	0.117292	+	0.117292i	−0.646024	+	0.763317i	$0.723570\pi$
$504$	547.161	−	403.172i	1.08564	−	0.799944i
$505$	467.284	−	122.768i	0.925315	−	0.243105i
$506$	−13.4561	+	23.3067i	−0.0265931	+	0.0460606i
$507$	320.518	−	358.382i	0.632186	−	0.706868i
$508$	−124.682	+	465.319i	−0.245437	+	0.915983i
$509$	−388.655	+	224.390i	−0.763565	+	0.440844i	−0.830574	−	0.556908i	$-0.811988\pi$
$509$	−388.655	+	224.390i	−0.763565	+	0.440844i	0.0670093	+	0.997752i	$0.478654\pi$
$510$	267.688	−	13.6198i	0.524878	−	0.0267054i
$511$	411.917	−	713.461i	0.806100	−	1.39621i
$512$	270.104	−	270.104i	0.527546	−	0.527546i
$513$	251.846	+	179.133i	0.490927	+	0.349187i
$514$		−	103.640i		−	0.201634i
$515$	115.386	−	65.8698i	0.224051	−	0.127903i
$516$	262.631	+	401.461i	0.508974	+	0.778026i
$517$	160.028	+	42.8794i	0.309532	+	0.0829389i
$518$	−55.8136	+	208.299i	−0.107748	+	0.402122i
$519$	11.3941	+	204.298i	0.0219539	+	0.393638i
$520$	94.0625	+	25.6965i	0.180889	+	0.0494163i
$521$	−548.131			−1.05208			−0.526038	−	0.850461i	$-0.676323\pi$
$521$	−548.131			−1.05208			−0.526038	+	0.850461i	$0.676323\pi$
$522$	137.886	−	172.630i	0.264150	−	0.330709i
$523$	−237.559	−	237.559i	−0.454224	−	0.454224i	0.442530	−	0.896754i	$-0.354081\pi$
$523$	−237.559	−	237.559i	−0.454224	−	0.454224i	−0.896754	+	0.442530i	$0.854081\pi$
$524$	−17.9284	−	10.3510i	−0.0342145	−	0.0197538i
$525$	39.4286	+	857.344i	0.0751021	+	1.63304i
$526$	−68.7794	−	119.129i	−0.130759	−	0.226482i
$527$	818.005	+	219.184i	1.55219	+	0.415909i
$528$	48.3237	−	15.8807i	0.0915222	−	0.0300771i
$529$	350.088	+	202.124i	0.661793	+	0.382086i
$530$	40.6317	−	10.6750i	0.0766635	−	0.0201416i
$531$	−511.404	+	57.2217i	−0.963096	+	0.107762i
$532$	291.528	−	291.528i	0.547985	−	0.547985i
$533$	5.27851	−	1.41437i	0.00990340	−	0.00265361i
$534$	21.1136	+	378.571i	0.0395385	+	0.708935i
$535$	309.984	+	1.51229i	0.579409	+	0.00282672i
$536$	107.288	+	185.828i	0.200164	+	0.346694i
$537$	−892.468	−	186.573i	−1.66195	−	0.347436i
$538$	27.7218	−	7.42804i	0.0515276	−	0.0138068i
$539$		−	213.863i		−	0.396778i
$540$	328.832	−	269.117i	0.608949	−	0.498366i
$541$	−694.204			−1.28319			−0.641593	−	0.767045i	$-0.721726\pi$
$541$	−694.204			−1.28319			−0.641593	+	0.767045i	$0.721726\pi$
$542$	1.00953	+	3.76761i	0.00186260	+	0.00695130i
$543$	105.943	−	506.773i	0.195106	−	0.933284i
$544$	−542.975	+	313.487i	−0.998115	+	0.576262i
$545$	−46.6163	+	46.1637i	−0.0855346	+	0.0847040i
$546$	−93.5232	+	5.21595i	−0.171288	+	0.00955302i
$547$	−229.183	−	855.323i	−0.418982	−	1.56366i	−0.776724	−	0.629841i	$-0.783120\pi$
$547$	−229.183	−	855.323i	−0.418982	−	1.56366i	0.357742	−	0.933820i	$-0.383547\pi$
$548$	193.821	+	193.821i	0.353687	+	0.353687i
$549$	−244.019	+	179.803i	−0.444479	+	0.327511i
$550$	16.1575	−	58.0297i	0.0293772	−	0.105509i
$551$	152.171	−	263.568i	0.276173	−	0.478345i
$552$	−69.0368	−	210.073i	−0.125067	−	0.380568i
$553$	−203.819	+	760.662i	−0.368569	+	1.37552i
$554$	111.191	−	64.1960i	0.200705	−	0.115877i
$555$	−64.1101	+	299.370i	−0.115514	+	0.539405i
$556$	−137.655	+	238.426i	−0.247581	+	0.428824i
$557$	598.653	−	598.653i	1.07478	−	1.07478i	0.0778138	−	0.996968i	$-0.475206\pi$
$557$	598.653	−	598.653i	1.07478	−	1.07478i	0.996968	−	0.0778138i	$-0.0247940\pi$
$558$	−338.574	+	132.579i	−0.606763	+	0.237597i
$559$		−	150.138i		−	0.268584i
$560$	−184.300	−	322.844i	−0.329107	−	0.576506i
$561$	−151.285	+	8.43740i	−0.269670	+	0.0150399i
$562$	−448.950	−	120.296i	−0.798844	−	0.214050i
$563$	80.5980	−	300.796i	0.143158	−	0.534273i	−0.856672	−	0.515861i	$-0.827472\pi$
$563$	80.5980	−	300.796i	0.143158	−	0.534273i	0.999830	−	0.0184123i	$-0.00586116\pi$
$564$	−501.649	+	328.172i	−0.889449	+	0.581866i
$565$	141.202	−	80.6072i	0.249915	−	0.142668i
$566$	−135.312			−0.239067
$567$	−494.357	+	784.076i	−0.871882	+	1.38285i
$568$	−295.614	−	295.614i	−0.520447	−	0.520447i
$569$	20.4998	+	11.8356i	0.0360278	+	0.0208006i	0.517906	−	0.855438i	$-0.326712\pi$
$569$	20.4998	+	11.8356i	0.0360278	+	0.0208006i	−0.481878	+	0.876238i	$0.660045\pi$
$570$	−106.254	+	117.646i	−0.186411	+	0.206396i
$571$	22.7049	+	39.3260i	0.0397633	+	0.0688721i	0.885222	−	0.465169i	$-0.154006\pi$
$571$	22.7049	+	39.3260i	0.0397633	+	0.0688721i	−0.845459	+	0.534041i	$0.820673\pi$
$572$	−23.4468	−	6.28254i	−0.0409909	−	0.0109835i
$573$	−642.305	−	574.445i	−1.12095	−	1.00252i
$574$	16.9203	+	9.76892i	0.0294778	+	0.0170190i
$575$	269.000	+	74.8988i	0.467825	+	0.130259i
$576$	14.1405	−	32.3423i	0.0245495	−	0.0561498i
$577$	−333.577	+	333.577i	−0.578124	+	0.578124i	−0.934386	−	0.356262i	$-0.884051\pi$
$577$	−333.577	+	333.577i	−0.578124	+	0.578124i	0.356262	+	0.934386i	$0.384051\pi$
$578$	76.3059	−	20.4461i	0.132017	−	0.0353739i
$579$	−98.5150	−	49.7804i	−0.170147	−	0.0859765i
$580$	−294.434	−	297.321i	−0.507644	−	0.512622i
$581$	603.256	+	1044.87i	1.03831	+	1.79840i
$582$	−31.6062	−	96.1750i	−0.0543062	−	0.165249i
$583$	−22.9394	+	6.14658i	−0.0393471	+	0.0105430i
$584$		−	475.096i		−	0.813520i
$585$	−132.228	+	14.1424i	−0.226031	+	0.0241751i
$586$	−316.691			−0.540428
$587$	201.489	+	751.967i	0.343252	+	1.28103i	0.894641	+	0.446786i	$0.147432\pi$
$587$	201.489	+	751.967i	0.343252	+	1.28103i	−0.551388	+	0.834249i	$0.685902\pi$
$588$	576.796	+	515.857i	0.980945	+	0.877307i
$589$	−433.764	+	250.434i	−0.736441	+	0.425184i
$590$	1.28773	−	263.953i	0.00218258	−	0.447377i
$591$	526.446	+	804.733i	0.890771	+	1.36165i
$592$	−34.3219	−	128.091i	−0.0579763	−	0.216370i
$593$	−464.151	−	464.151i	−0.782717	−	0.782717i	0.197571	−	0.980289i	$-0.436695\pi$
$593$	−464.151	−	464.151i	−0.782717	−	0.782717i	−0.980289	+	0.197571i	$0.936695\pi$
$594$	50.1436	−	41.4478i	0.0844168	−	0.0697774i
$595$	281.381	+	1071.00i	0.472910	+	1.80000i
$596$	263.432	−	456.278i	0.442000	−	0.765567i
$597$	315.698	+	65.9978i	0.528808	+	0.110549i
$598$	−7.88753	+	29.4367i	−0.0131899	+	0.0492252i
$599$	−402.592	+	232.437i	−0.672108	+	0.388042i	−0.796875	−	0.604145i	$-0.793515\pi$
$599$	−402.592	+	232.437i	−0.672108	+	0.388042i	0.124767	+	0.992186i	$0.460182\pi$
$600$	266.902	+	416.812i	0.444837	+	0.694686i
$601$	−305.138	+	528.514i	−0.507717	+	0.879392i	0.492243	+	0.870458i	$0.336177\pi$
$601$	−305.138	+	528.514i	−0.507717	+	0.879392i	−0.999960	+	0.00893383i	$0.997156\pi$
$602$	379.564	−	379.564i	0.630505	−	0.630505i
$603$	−228.651	−	182.632i	−0.379190	−	0.302873i
$604$		−	785.469i		−	1.30045i
$605$	150.461	−	550.766i	0.248696	−	0.910357i
$606$	−120.709	+	238.882i	−0.199190	+	0.394195i
$607$	81.5905	+	21.8621i	0.134416	+	0.0360167i	0.325400	−	0.945577i	$-0.394501\pi$
$607$	81.5905	+	21.8621i	0.134416	+	0.0360167i	−0.190984	+	0.981593i	$0.561168\pi$
$608$	95.9744	−	358.181i	0.157853	−	0.589114i
$609$	814.676	+	411.662i	1.33773	+	0.675964i
$610$	−77.0800	−	135.024i	−0.126361	−	0.221350i
$611$	187.606			0.307048
$612$	342.156	−	428.371i	0.559078	−	0.699953i
$613$	463.301	+	463.301i	0.755793	+	0.755793i	0.975554	−	0.219760i	$-0.0705276\pi$
$613$	463.301	+	463.301i	0.755793	+	0.755793i	−0.219760	+	0.975554i	$0.570528\pi$
$614$	−21.7432	−	12.5534i	−0.0354123	−	0.0204453i
$615$	24.6956	+	12.6305i	0.0401555	+	0.0205374i
$616$	−98.5380	−	170.673i	−0.159964	−	0.277066i
$617$	−650.709	−	174.357i	−1.05463	−	0.282588i	−0.310468	−	0.950584i	$-0.600486\pi$
$617$	−650.709	−	174.357i	−1.05463	−	0.282588i	−0.744165	+	0.667995i	$0.767153\pi$
$618$	−15.0614	+	72.0456i	−0.0243712	+	0.116579i
$619$	−759.400	−	438.440i	−1.22682	−	0.708303i	−0.260455	−	0.965486i	$-0.583872\pi$
$619$	−759.400	−	438.440i	−1.22682	−	0.708303i	−0.966363	+	0.257183i	$0.917206\pi$
$620$	174.986	+	666.036i	0.282235	+	1.07425i
$621$	192.133	+	232.443i	0.309393	+	0.374304i
$622$	359.975	−	359.975i	0.578737	−	0.578737i
$623$	−1513.07	+	405.426i	−2.42869	+	0.650765i
$624$	48.2022	−	31.5333i	0.0772472	−	0.0505341i
$625$	−624.881	−	12.1957i	−0.999810	−	0.0195131i
$626$	−221.405	−	383.485i	−0.353683	−	0.612597i
$627$	59.7403	−	66.7975i	0.0952795	−	0.106535i
$628$	−152.326	+	40.8157i	−0.242558	+	0.0649932i
$629$			395.016i			0.628007i
$630$	−370.039	−	298.533i	−0.587364	−	0.473861i
$631$	1077.51			1.70762			0.853812	−	0.520581i	$-0.174285\pi$
$631$	1077.51			1.70762			0.853812	+	0.520581i	$0.174285\pi$
$632$	117.540	+	438.665i	0.185981	+	0.694090i
$633$	259.850	−	85.3951i	0.410506	−	0.134905i
$634$	223.513	−	129.045i	0.352544	−	0.203541i
$635$	765.246	+	3.73335i	1.20511	+	0.00587929i
$636$	38.7542	−	76.6943i	0.0609343	−	0.120589i
$637$	−62.6798	−	233.924i	−0.0983984	−	0.367228i
$638$	−45.3002	−	45.3002i	−0.0710034	−	0.0710034i
$639$	522.400	+	228.401i	0.817528	+	0.357435i
$640$	−543.887	−	317.561i	−0.849824	−	0.496190i
$641$	−332.614	+	576.105i	−0.518899	+	0.898759i	0.480860	+	0.876797i	$0.340325\pi$
$641$	−332.614	+	576.105i	−0.518899	+	0.898759i	−0.999759	+	0.0219617i	$0.993009\pi$
$642$	−114.478	+	128.001i	−0.178314	+	0.199379i
$643$	287.192	−	1071.82i	0.446644	−	1.66690i	−0.264915	−	0.964272i	$-0.585344\pi$
$643$	287.192	−	1071.82i	0.446644	−	1.66690i	0.711559	−	0.702626i	$-0.247989\pi$
$644$	348.401	−	201.150i	0.540996	−	0.312344i
$645$	510.794	−	565.558i	0.791929	−	0.876834i
$646$	−102.268	+	177.134i	−0.158310	+	0.274201i
$647$	−231.177	+	231.177i	−0.357306	+	0.357306i	−0.862819	−	0.505513i	$-0.831303\pi$
$647$	−231.177	+	231.177i	−0.357306	+	0.357306i	0.505513	+	0.862819i	$0.331303\pi$
$648$	−20.8115	+	534.133i	−0.0321165	+	0.824280i
$649$			149.214i			0.229914i
$650$	0.665544	−	68.2086i	0.00102391	−	0.104936i
$651$	−822.373	−	1257.09i	−1.26325	−	1.93102i
$652$	−101.122	−	27.0955i	−0.155094	−	0.0415574i
$653$	174.987	−	653.059i	0.267974	−	1.00009i	−0.692432	−	0.721484i	$-0.743461\pi$
$653$	174.987	−	653.059i	0.267974	−	1.00009i	0.960405	−	0.278607i	$-0.0898728\pi$
$654$	−2.02383	−	36.2877i	−0.00309454	−	0.0554858i
$655$	−8.66637	+	31.7235i	−0.0132311	+	0.0484328i
$656$	−12.0146			−0.0183149
$657$	236.251	+	603.325i	0.359590	+	0.918303i
$658$	474.287	+	474.287i	0.720802	+	0.720802i
$659$	138.847	+	80.1633i	0.210693	+	0.121644i	0.601634	−	0.798772i	$-0.294517\pi$
$659$	138.847	+	80.1633i	0.210693	+	0.121644i	−0.390940	+	0.920416i	$0.627850\pi$
$660$	−66.9478	−	103.435i	−0.101436	−	0.156720i
$661$	−471.803	−	817.186i	−0.713771	−	1.23629i	−0.963432	−	0.267954i	$-0.913652\pi$
$661$	−471.803	−	817.186i	−0.713771	−	1.23629i	0.249660	−	0.968333i	$-0.419681\pi$
$662$	−109.122	−	29.2392i	−0.164837	−	0.0441679i
$663$	−163.003	+	53.5679i	−0.245856	+	0.0807962i
$664$	602.564	+	347.891i	0.907476	+	0.523931i
$665$	−565.581	−	330.228i	−0.850498	−	0.496583i
$666$	−100.608	−	136.540i	−0.151064	−	0.205015i
$667$	209.991	−	209.991i	0.314829	−	0.314829i
$668$	336.436	−	90.1478i	0.503647	−	0.134952i
$669$	−39.6505	−	710.943i	−0.0592683	−	1.06269i
$670$	106.656	−	105.621i	0.159189	−	0.157643i
$671$	43.9452	+	76.1153i	0.0654921	+	0.113436i
$672$	1088.61	+	227.578i	1.61996	+	0.338658i
$673$	549.114	−	147.135i	0.815919	−	0.218625i	0.173358	−	0.984859i	$-0.444538\pi$
$673$	549.114	−	147.135i	0.815919	−	0.218625i	0.642562	+	0.766234i	$0.277872\pi$
$674$		−	305.104i		−	0.452676i
$675$	−546.208	−	396.588i	−0.809196	−	0.587538i
$676$	504.446			0.746222
$677$	76.2369	+	284.520i	0.112610	+	0.420266i	0.999097	−	0.0424873i	$-0.0135282\pi$
$677$	76.2369	+	284.520i	0.112610	+	0.420266i	−0.886487	+	0.462753i	$0.846862\pi$
$678$	−18.4311	+	88.1647i	−0.0271846	+	0.130036i
$679$	362.207	−	209.120i	0.533441	−	0.307983i
$680$	449.347	+	453.752i	0.660804	+	0.667283i
$681$	−367.915	+	20.5193i	−0.540258	+	0.0301311i
$682$	27.2880	+	101.840i	0.0400117	+	0.149326i
$683$	449.659	+	449.659i	0.658359	+	0.658359i	0.954992	−	0.296632i	$-0.0958636\pi$
$683$	449.659	+	449.659i	0.658359	+	0.658359i	−0.296632	+	0.954992i	$0.595864\pi$
$684$	36.0562	+	322.243i	0.0527138	+	0.471115i
$685$	219.550	−	376.023i	0.320511	−	0.548939i
$686$	174.067	−	301.493i	0.253742	−	0.439495i
$687$	−308.450	−	938.588i	−0.448981	−	1.36621i
$688$	−85.4335	+	318.842i	−0.124177	+	0.463433i
$689$	−23.2897	+	13.4463i	−0.0338021	+	0.0195157i
$690$	−129.860	+	84.0508i	−0.188203	+	0.121813i
$691$	−465.762	+	806.723i	−0.674040	+	1.16747i	0.302708	+	0.953083i	$0.402109\pi$
$691$	−465.762	+	806.723i	−0.674040	+	1.16747i	−0.976748	+	0.214388i	$0.931224\pi$
$692$	−151.800	+	151.800i	−0.219365	+	0.219365i
$693$	210.004	+	167.738i	0.303036	+	0.242046i
$694$			328.639i			0.473544i
$695$	421.883	+	115.252i	0.607027	+	0.165831i
$696$	525.571	−	29.3120i	0.755131	−	0.0421150i
$697$	34.5694	+	9.26283i	0.0495974	+	0.0132896i
$698$	11.9069	−	44.4373i	0.0170587	−	0.0636638i
$699$	−806.291	+	527.465i	−1.15349	+	0.754599i
$700$	−642.903	+	630.478i	−0.918432	+	0.900682i
$701$	1256.95			1.79308			0.896539	−	0.442964i	$-0.146073\pi$
$701$	1256.95			1.79308			0.896539	+	0.442964i	$0.146073\pi$
$702$	42.6995	−	60.0320i	0.0608255	−	0.0855156i
$703$	−165.200	−	165.200i	−0.234993	−	0.234993i
$704$	−8.86400	−	5.11763i	−0.0125909	−	0.00726937i
$705$	706.698	+	638.267i	1.00241	+	0.905343i
$706$	290.023	+	502.334i	0.410797	+	0.711521i
$707$	−1068.07	−	286.190i	−1.51071	−	0.404795i
$708$	−402.435	−	359.918i	−0.568412	−	0.508358i
$709$	631.908	+	364.832i	0.891267	+	0.514573i	0.874357	−	0.485284i	$-0.161284\pi$
$709$	631.908	+	364.832i	0.891267	+	0.514573i	0.0169102	+	0.999857i	$0.494617\pi$
$710$	−147.459	+	252.554i	−0.207689	+	0.355709i
$711$	−367.399	−	498.613i	−0.516736	−	0.701284i
$712$	−638.766	+	638.766i	−0.897144	+	0.897144i
$713$	−472.085	+	126.495i	−0.662111	+	0.177412i
$714$	−547.511	−	276.662i	−0.766823	−	0.387481i
$715$	−0.188118	+	38.5597i	−0.000263102	+	0.0539296i
$716$	−478.300	−	828.440i	−0.668017	−	1.15704i
$717$	133.505	+	406.243i	0.186199	+	0.566588i
$718$	72.5097	−	19.4289i	0.100988	−	0.0270598i
$719$			806.713i			1.12199i	0.827818	+	0.560997i	$0.189582\pi$
$719$			806.713i			1.12199i	−0.827818	+	0.560997i	$0.810418\pi$
$720$	288.855	+	45.2085i	0.401187	+	0.0627896i
$721$	−304.082			−0.421750
$722$	54.9567	+	205.101i	0.0761173	+	0.284074i
$723$	1023.57	+	915.424i	1.41572	+	1.26615i
$724$	470.417	−	271.595i	0.649747	−	0.375131i
$725$	−337.955	+	572.384i	−0.466144	+	0.789495i
$726$	173.153	+	264.684i	0.238502	+	0.364578i
$727$	306.191	+	1142.72i	0.421171	+	1.57183i	0.772145	+	0.635446i	$0.219184\pi$
$727$	306.191	+	1142.72i	0.421171	+	1.57183i	−0.350974	+	0.936385i	$0.614150\pi$
$728$	−157.802	−	157.802i	−0.216762	−	0.216762i
$729$	−239.180	−	688.647i	−0.328093	−	0.944645i
$730$	−321.440	+	84.4511i	−0.440329	+	0.115686i
$731$	491.633	−	851.533i	0.672548	−	1.16489i
$732$	−311.285	−	65.0752i	−0.425253	−	0.0889006i
$733$	264.670	−	987.760i	0.361077	−	1.34756i	−0.511585	−	0.859233i	$-0.670941\pi$
$733$	264.670	−	987.760i	0.361077	−	1.34756i	0.872662	−	0.488325i	$-0.162392\pi$
$734$	−48.0349	+	27.7330i	−0.0654426	+	0.0377833i
$735$	559.737	−	1094.42i	0.761548	−	1.48901i
$736$	180.918	−	313.360i	0.245813	−	0.425761i
$737$	−60.0009	+	60.0009i	−0.0814123	+	0.0814123i
$738$	−14.3083	+	5.60286i	−0.0193880	+	0.00759195i
$739$		−	808.791i		−	1.09444i	−0.836989	−	0.547220i	$-0.815686\pi$
$739$		−	808.791i		−	1.09444i	0.836989	−	0.547220i	$-0.184314\pi$
$740$	−278.960	+	159.248i	−0.376972	+	0.215200i
$741$	45.7668	−	90.5722i	0.0617636	−	0.122230i
$742$	−92.8721	−	24.8850i	−0.125165	−	0.0335378i
$743$	−164.727	+	614.769i	−0.221705	+	0.827415i	0.761993	+	0.647586i	$0.224221\pi$
$743$	−164.727	+	614.769i	−0.221705	+	0.827415i	−0.983698	+	0.179829i	$0.942445\pi$
$744$	−773.190	−	390.699i	−1.03923	−	0.525133i
$745$	−807.362	−	220.559i	−1.08371	−	0.296052i
$746$	−180.107			−0.241431
$747$	−938.193	−	142.150i	−1.25595	−	0.190295i
$748$	−112.410	−	112.410i	−0.150280	−	0.150280i
$749$	−614.409	−	354.729i	−0.820306	−	0.473604i
$750$	234.563	−	254.672i	0.312751	−	0.339562i
$751$	709.826	+	1229.46i	0.945175	+	1.63709i	0.755401	+	0.655263i	$0.227442\pi$
$751$	709.826	+	1229.46i	0.945175	+	1.63709i	0.189774	+	0.981828i	$0.439224\pi$
$752$	−398.412	−	106.754i	−0.529803	−	0.141960i
$753$	62.9726	−	301.227i	0.0836290	−	0.400036i
$754$	−62.8262	−	36.2727i	−0.0833239	−	0.0481071i
$755$	−1206.80	+	317.058i	−1.59841	+	0.419945i
$756$	−958.943	+	161.789i	−1.26844	+	0.214007i
$757$	582.278	−	582.278i	0.769192	−	0.769192i	−0.208772	−	0.977964i	$-0.566947\pi$
$757$	582.278	−	582.278i	0.769192	−	0.769192i	0.977964	+	0.208772i	$0.0669467\pi$
$758$	−130.062	+	34.8500i	−0.171586	+	0.0459762i
$759$	73.1771	−	47.8715i	0.0964125	−	0.0630718i
$760$	−377.686	−	1.84259i	−0.496955	−	0.00242446i
$761$	−73.5291	−	127.356i	−0.0966217	−	0.167354i	0.813663	−	0.581337i	$-0.197470\pi$
$761$	−73.5291	−	127.356i	−0.0966217	−	0.167354i	−0.910284	+	0.413984i	$0.864137\pi$
$762$	−282.607	+	315.992i	−0.370875	+	0.414687i
$763$	145.035	−	38.8619i	0.190085	−	0.0509330i
$764$		−	904.087i		−	1.18336i
$765$	−796.264	−	352.775i	−1.04087	−	0.461144i
$766$	697.261			0.910262
$767$	43.7322	+	163.211i	0.0570172	+	0.212791i
$768$	376.169	−	123.621i	0.489804	−	0.160965i
$769$	−798.259	+	460.875i	−1.03805	+	0.599317i	−0.919280	−	0.393605i	$-0.871228\pi$
$769$	−798.259	+	460.875i	−1.03805	+	0.599317i	−0.118768	+	0.992922i	$0.537894\pi$
$770$	−97.9582	+	97.0070i	−0.127218	+	0.125983i
$771$	−151.875	+	300.559i	−0.196984	+	0.389830i
$772$	−29.9729	−	111.860i	−0.0388250	−	0.144897i
$773$	646.946	+	646.946i	0.836928	+	0.836928i	0.988453	−	0.151525i	$-0.0484185\pi$
$773$	646.946	+	646.946i	0.836928	+	0.836928i	−0.151525	+	0.988453i	$0.548418\pi$
$774$	46.9445	+	419.554i	0.0606518	+	0.542060i
$775$	952.666	−	537.697i	1.22925	−	0.693803i
$776$	120.597	−	208.880i	0.155409	−	0.269176i
$777$	467.106	−	522.286i	0.601166	−	0.672183i
$778$	10.3092	−	38.4744i	0.0132509	−	0.0494530i
$779$	−18.3311	+	10.5835i	−0.0235316	+	0.0135860i
$780$	−103.543	−	93.5167i	−0.132747	−	0.119893i
$781$	82.6613	−	143.174i	0.105840	−	0.183321i
$782$	−141.127	+	141.127i	−0.180469	+	0.180469i
$783$	−652.849	+	298.574i	−0.833779	+	0.381321i
$784$			532.441i			0.679134i
$785$	124.197	+	217.559i	0.158212	+	0.277146i
$786$	−9.97338	−	15.2455i	−0.0126888	−	0.0193963i
$787$	−105.372	−	28.2343i	−0.133890	−	0.0358758i	0.191251	−	0.981541i	$-0.438745\pi$
$787$	−105.372	−	28.2343i	−0.133890	−	0.0358758i	−0.325142	+	0.945665i	$0.605412\pi$
$788$	−261.129	+	974.548i	−0.331382	+	1.23674i
$789$	24.8892	+	446.270i	0.0315453	+	0.565614i
$790$	275.899	−	157.501i	0.349239	−	0.199368i
$791$	−372.115			−0.470436
$792$	153.248	+	23.2194i	0.193495	+	0.0293174i
$793$	70.3755	+	70.3755i	0.0887459	+	0.0887459i
$794$	−101.540	−	58.6241i	−0.127884	−	0.0738339i
$795$	−133.477	−	28.5841i	−0.167895	−	0.0359548i
$796$	169.192	+	293.050i	0.212553	+	0.368153i
$797$	863.511	+	231.377i	1.08345	+	0.290310i	0.756009	−	0.654561i	$-0.227146\pi$
$797$	863.511	+	231.377i	1.08345	+	0.290310i	0.327443	+	0.944871i	$0.393813\pi$
$798$	344.678	−	113.272i	0.431928	−	0.141945i
$799$	1064.04	+	614.324i	1.33171	+	0.768866i
$800$	−217.239	+	780.214i	−0.271548	+	0.975267i
$801$	493.532	−	1128.81i	0.616145	−	1.40925i
$802$	189.040	−	189.040i	0.235711	−	0.235711i
$803$	181.475	−	48.6261i	0.225996	−	0.0605556i
$804$	−17.0969	−	306.552i	−0.0212648	−	0.381283i
$805$	−449.681	−	454.090i	−0.558609	−	0.564087i
$806$	59.6953	+	103.395i	0.0740637	+	0.128282i
$807$	−91.2795	−	19.0823i	−0.113110	−	0.0236460i
$808$	−615.946	+	165.042i	−0.762310	+	0.204260i
$809$		−	920.002i		−	1.13721i	−0.822611	−	0.568604i	$-0.807484\pi$
$809$		−	920.002i		−	1.13721i	0.822611	−	0.568604i	$-0.192516\pi$
$810$	365.084	−	80.8648i	0.450721	−	0.0998331i
$811$	−174.196			−0.214792			−0.107396	−	0.994216i	$-0.534251\pi$
$811$	−174.196			−0.214792			−0.107396	+	0.994216i	$0.534251\pi$
$812$	247.862	+	925.035i	0.305249	+	1.13921i
$813$	2.59343	−	12.4056i	0.00318995	−	0.0152590i
$814$	−42.5901	+	24.5894i	−0.0523220	+	0.0302081i
$815$	−0.811319	+	166.301i	−0.000995483	+	0.204050i
$816$	376.643	−	21.0061i	0.461573	−	0.0257427i
$817$	150.514	+	561.727i	0.184228	+	0.687548i
$818$	−134.631	−	134.631i	−0.164585	−	0.164585i
$819$	278.864	+	121.923i	0.340494	+	0.148869i
$820$	7.39500	+	28.1471i	0.00901829	+	0.0343257i
$821$	425.992	−	737.840i	0.518869	−	0.898708i	−0.480890	−	0.876781i	$-0.659686\pi$
$821$	425.992	−	737.840i	0.518869	−	0.898708i	0.999760	−	0.0219274i	$-0.00698027\pi$
$822$	75.3083	+	229.157i	0.0916160	+	0.278780i
$823$	−53.4313	+	199.408i	−0.0649226	+	0.242295i	−0.990760	−	0.135628i	$-0.956695\pi$
$823$	−53.4313	+	199.408i	−0.0649226	+	0.242295i	0.925837	+	0.377923i	$0.123361\pi$
$824$	−151.866	+	87.6802i	−0.184304	+	0.106408i
$825$	−131.895	+	144.611i	−0.159872	+	0.175286i
$826$	−302.054	+	523.172i	−0.365682	+	0.633380i
$827$	−66.1579	+	66.1579i	−0.0799974	+	0.0799974i	−0.745973	−	0.665976i	$-0.768015\pi$
$827$	−66.1579	+	66.1579i	−0.0799974	+	0.0799974i	0.665976	+	0.745973i	$0.268015\pi$
$828$	−47.3987	+	312.831i	−0.0572448	+	0.377815i
$829$			71.1280i			0.0857998i	0.999079	+	0.0428999i	$0.0136596\pi$
$829$			71.1280i			0.0857998i	−0.999079	+	0.0428999i	$0.986340\pi$
$830$	128.267	−	469.523i	0.154538	−	0.565690i
$831$	−416.531	+	23.2306i	−0.501240	+	0.0279550i
$832$	−11.1954	−	2.99979i	−0.0134560	−	0.00360552i
$833$	410.494	−	1531.98i	0.492790	−	1.83912i
$834$	−202.746	+	132.634i	−0.243101	+	0.159033i
$835$	−274.307	−	480.513i	−0.328512	−	0.575465i
$836$	94.0219			0.112466
$837$	1176.16	+	111.666i	1.40521	+	0.133412i
$838$	−468.230	−	468.230i	−0.558747	−	0.558747i
$839$	−327.523	−	189.096i	−0.390373	−	0.225382i	0.291949	−	0.956434i	$-0.405696\pi$
$839$	−327.523	−	189.096i	−0.390373	−	0.225382i	−0.682322	+	0.731052i	$0.739030\pi$
$840$	−57.5596	−	1131.30i	−0.0685233	−	1.34678i
$841$	−67.0308	−	116.101i	−0.0797037	−	0.138051i
$842$	222.175	+	59.5317i	0.263866	+	0.0707027i
$843$	1125.69	+	1006.76i	1.33534	+	1.19426i
$844$	248.527	+	143.487i	0.294463	+	0.170008i
$845$	−203.622	−	775.033i	−0.240973	−	0.917199i
$846$	−524.257	+	58.6599i	−0.619690	+	0.0693380i
$847$	−923.984	+	923.984i	−1.09089	+	1.09089i
$848$	57.1106	−	15.3028i	0.0673475	−	0.0180457i
$849$	392.410	+	198.288i	0.462203	+	0.233555i
$850$	227.126	−	384.676i	0.267207	−	0.452560i
$851$	−113.985	−	197.428i	−0.133943	−	0.231996i
$852$	186.757	+	568.287i	0.219199	+	0.667004i
$853$	629.719	−	168.733i	0.738240	−	0.197811i	0.129944	−	0.991521i	$-0.458520\pi$
$853$	629.719	−	168.733i	0.738240	−	0.197811i	0.608296	+	0.793711i	$0.291854\pi$
$854$			355.832i			0.416665i
$855$	480.541	−	185.472i	0.562036	−	0.216926i
$856$	−409.137			−0.477963
$857$	−145.445	−	542.809i	−0.169714	−	0.633382i	−0.997392	−	0.0721782i	$-0.977005\pi$
$857$	−145.445	−	542.809i	−0.169714	−	0.633382i	0.827677	−	0.561204i	$-0.189662\pi$
$858$	−15.9224	−	14.2402i	−0.0185576	−	0.0165969i
$859$	468.778	−	270.649i	0.545725	−	0.315075i	−0.201671	−	0.979453i	$-0.564637\pi$
$859$	468.778	−	270.649i	0.545725	−	0.315075i	0.747396	+	0.664379i	$0.231304\pi$
$860$	799.549	+	3.90070i	0.929709	+	0.00453570i
$861$	−34.7539	−	53.1254i	−0.0403646	−	0.0617020i
$862$	−55.9407	−	208.774i	−0.0648964	−	0.242197i
$863$	24.2188	+	24.2188i	0.0280635	+	0.0280635i	0.720999	−	0.692936i	$-0.243683\pi$
$863$	24.2188	+	24.2188i	0.0280635	+	0.0280635i	−0.692936	+	0.720999i	$0.743683\pi$
$864$	−674.184	+	557.269i	−0.780306	+	0.644987i
$865$	294.502	+	171.952i	0.340464	+	0.198788i
$866$	−243.463	+	421.690i	−0.281135	+	0.486940i
$867$	−251.252	−	52.5250i	−0.289794	−	0.0605825i
$868$	407.916	−	1522.36i	0.469950	−	1.75388i
$869$	−155.529	+	89.7949i	−0.178975	+	0.103331i
$870$	−113.255	−	350.381i	−0.130179	−	0.402737i
$871$	−48.0438	+	83.2144i	−0.0551594	+	0.0955389i
$872$	61.2285	−	61.2285i	0.0702162	−	0.0702162i
$873$	−49.2768	+	325.227i	−0.0564454	+	0.372540i
$874$		−	118.041i		−	0.135059i
$875$	1228.18	+	733.262i	1.40363	+	0.838014i
$876$	−306.588	+	606.735i	−0.349986	+	0.692620i
$877$	−1200.73	−	321.735i	−1.36913	−	0.366858i	−0.501972	−	0.864884i	$-0.667392\pi$
$877$	−1200.73	−	321.735i	−1.36913	−	0.366858i	−0.867162	+	0.498025i	$0.834059\pi$
$878$	154.206	−	575.505i	0.175633	−	0.655472i
$879$	918.415	+	464.082i	1.04484	+	0.527966i
$880$	22.3412	−	81.7804i	0.0253877	−	0.0929323i
$881$	1074.75			1.21993			0.609963	−	0.792430i	$-0.291184\pi$
$881$	1074.75			1.21993			0.609963	+	0.792430i	$0.291184\pi$
$882$	248.298	+	634.091i	0.281517	+	0.718924i
$883$	285.903	+	285.903i	0.323786	+	0.323786i	0.850217	−	0.526432i	$-0.176470\pi$
$883$	285.903	+	285.903i	0.323786	+	0.323786i	−0.526432	+	0.850217i	$0.676470\pi$
$884$	−155.899	−	90.0086i	−0.176357	−	0.101820i
$885$	−390.534	+	763.585i	−0.441281	+	0.862808i
$886$	−126.931	−	219.851i	−0.143263	−	0.248139i
$887$	1036.58	+	277.751i	1.16864	+	0.313135i	0.790410	−	0.612578i	$-0.209868\pi$
$887$	1036.58	+	277.751i	1.16864	+	0.313135i	0.378226	+	0.925713i	$0.376534\pi$
$888$	82.6871	−	395.531i	0.0931161	−	0.445418i
$889$	−1516.77	−	875.708i	−1.70615	−	0.985048i
$890$	545.722	+	318.632i	0.613170	+	0.358014i
$891$	−206.156	+	46.7192i	−0.231376	+	0.0524345i
$892$	528.255	−	528.255i	0.592214	−	0.592214i
$893$	−701.910	+	188.076i	−0.786013	+	0.210612i
$894$	387.997	−	253.823i	0.434001	−	0.283918i
$895$	−1079.75	+	1069.27i	−1.20642	+	1.19471i
$896$	720.711	+	1248.31i	0.804365	+	1.39320i
$897$	66.0110	−	73.8090i	0.0735908	−	0.0822842i
$898$	170.043	−	45.5630i	0.189358	−	0.0507383i
$899$		−	1163.43i		−	1.29414i
$900$	−71.8789	−	704.539i	−0.0798654	−	0.782821i
$901$	−176.122			−0.195473
$902$	1.15321	+	4.30382i	0.00127850	+	0.00477142i
$903$	−1656.97	+	544.533i	−1.83496	+	0.603026i
$904$	−185.844	+	107.297i	−0.205580	+	0.118692i
$905$	−607.165	−	613.119i	−0.670901	−	0.677479i
$906$	311.740	−	616.932i	0.344084	−	0.680940i
$907$	−442.672	−	1652.08i	−0.488062	−	1.82147i	−0.565858	−	0.824503i	$-0.691455\pi$
$907$	−442.672	−	1652.08i	−0.488062	−	1.82147i	0.0777954	−	0.996969i	$-0.475212\pi$
$908$	−273.374	−	273.374i	−0.301073	−	0.301073i
$909$	700.122	−	515.879i	0.770211	−	0.567524i
$910$	−78.7157	+	134.816i	−0.0865008	+	0.148150i
$911$	−203.177	+	351.913i	−0.223026	+	0.386293i	−0.955726	−	0.294260i	$-0.904927\pi$
$911$	−203.177	+	351.913i	−0.223026	+	0.386293i	0.732699	+	0.680553i	$0.238260\pi$
$912$	−148.731	+	166.301i	−0.163083	+	0.182348i
$913$	−71.2133	+	265.772i	−0.0779993	+	0.291097i
$914$	−250.056	+	144.370i	−0.273584	+	0.157954i
$915$	25.6700	+	504.527i	0.0280546	+	0.551396i
$916$	518.280	−	897.687i	0.565808	−	0.980008i
$917$	53.2204	−	53.2204i	0.0580375	−	0.0580375i
$918$	438.754	−	200.660i	0.477945	−	0.218584i
$919$		−	975.596i		−	1.06158i	−0.847502	−	0.530792i	$-0.821895\pi$
$919$		−	975.596i		−	1.06158i	0.847502	−	0.530792i	$-0.178105\pi$
$920$	−355.517	−	97.1218i	−0.386431	−	0.105567i
$921$	44.6600	+	68.2681i	0.0484908	+	0.0741238i
$922$	−196.847	−	52.7449i	−0.213500	−	0.0572071i
$923$	48.4533	−	180.830i	0.0524955	−	0.195916i
$924$	15.7026	+	281.551i	0.0169941	+	0.304709i
$925$	357.272	+	364.313i	0.386240	+	0.393852i
$926$	266.694			0.288007
$927$	149.255	−	186.864i	0.161009	−	0.201579i
$928$	609.065	+	609.065i	0.656320	+	0.656320i
$929$	1121.09	+	647.262i	1.20677	+	0.696730i	0.962052	−	0.272864i	$-0.0879711\pi$
$929$	1121.09	+	647.262i	1.20677	+	0.696730i	0.244719	+	0.969594i	$0.421304\pi$
$930$	−126.900	+	592.575i	−0.136452	+	0.637177i
$931$	469.020	+	812.366i	0.503780	+	0.872573i
$932$	−976.435	−	261.635i	−1.04768	−	0.280724i
$933$	−1571.45	+	516.429i	−1.68430	+	0.553514i
$934$	−282.319	−	162.997i	−0.302269	−	0.174515i
$935$	−127.332	+	218.081i	−0.136184	+	0.233242i
$936$	174.428	−	19.5170i	0.186355	−	0.0208515i
$937$	−416.458	+	416.458i	−0.444459	+	0.444459i	−0.893507	−	0.449049i	$-0.851763\pi$
$937$	−416.458	+	416.458i	−0.444459	+	0.444459i	0.449049	+	0.893507i	$0.351763\pi$
$938$	−331.834	+	88.9145i	−0.353767	+	0.0947916i
$939$	80.1201	+	1436.57i	0.0853249	+	1.52990i
$940$	−4.87415	+	999.083i	−0.00518527	+	1.06285i
$941$	6.23741	+	10.8035i	0.00662849	+	0.0114809i	0.869321	−	0.494249i	$-0.164557\pi$
$941$	6.23741	+	10.8035i	0.00662849	+	0.0114809i	−0.862692	+	0.505729i	$0.831223\pi$
$942$	−135.841	−	28.3980i	−0.144205	−	0.0301465i
$943$	−19.9506	+	5.34574i	−0.0211565	+	0.00566886i
$944$		−	371.489i		−	0.393526i
$945$	635.655	+	1408.02i	0.672651	+	1.48996i
$946$	122.415			0.129403
$947$	−307.908	−	1149.13i	−0.325140	−	1.21344i	−0.914171	−	0.405329i	$-0.867157\pi$
$947$	−307.908	−	1149.13i	−0.325140	−	1.21344i	0.589031	−	0.808111i	$-0.299510\pi$
$948$	132.971	−	636.061i	0.140264	−	0.670950i
$949$	184.246	−	106.375i	0.194148	−	0.112091i
$950$	65.8893	+	255.862i	0.0693571	+	0.269329i
$951$	−837.300	+	46.6977i	−0.880442	+	0.0491038i
$952$	−378.272	−	1411.73i	−0.397345	−	1.48291i
$953$	−943.370	−	943.370i	−0.989895	−	0.989895i	0.0100546	−	0.999949i	$-0.496799\pi$
$953$	−943.370	−	943.370i	−0.989895	−	0.989895i	−0.999949	+	0.0100546i	$0.996799\pi$
$954$	60.8776	−	44.8572i	0.0638130	−	0.0470201i
$955$	−1389.04	+	364.939i	−1.45449	+	0.382135i
$956$	−224.324	+	388.540i	−0.234648	+	0.406423i
$957$	64.9888	+	197.756i	0.0679089	+	0.206641i
$958$	−209.149	+	780.555i	−0.218318	+	0.814775i
$959$	−863.033	+	498.272i	−0.899930	+	0.519575i
$960$	−31.9662	−	49.3883i	−0.0332982	−	0.0514462i
$961$	−476.853	+	825.933i	−0.496204	+	0.859451i
$962$	−39.3784	+	39.3784i	−0.0409339	+	0.0409339i
$963$	519.564	−	203.451i	0.539526	−	0.211268i
$964$			1440.74i			1.49454i
$965$	−159.764	+	91.2033i	−0.165558	+	0.0945112i
$966$	353.478	−	19.7141i	0.365920	−	0.0204080i
$967$	266.681	+	71.4571i	0.275782	+	0.0738956i	0.394059	−	0.919085i	$-0.371070\pi$
$967$	266.681	+	71.4571i	0.275782	+	0.0738956i	−0.118277	+	0.992981i	$0.537737\pi$
$968$	−195.037	+	727.888i	−0.201484	+	0.751950i
$969$	556.155	−	363.829i	0.573948	−	0.375469i
$970$	−162.761	−	44.4639i	−0.167795	−	0.0458391i
$971$	−311.097			−0.320388			−0.160194	−	0.987086i	$-0.551212\pi$
$971$	−311.097			−0.320388			−0.160194	+	0.987086i	$0.551212\pi$
$972$	371.264	−	668.701i	0.381959	−	0.687964i
$973$	−707.766	−	707.766i	−0.727406	−	0.727406i
$974$	−273.087	−	157.667i	−0.280377	−	0.161876i
$975$	−101.884	+	196.832i	−0.104496	+	0.201879i
$976$	−109.407	−	189.499i	−0.112098	−	0.194159i
$977$	608.490	+	163.044i	0.622815	+	0.166883i	0.556407	−	0.830910i	$-0.312179\pi$
$977$	608.490	+	163.044i	0.622815	+	0.166883i	0.0664079	+	0.997793i	$0.478846\pi$
$978$	−68.6703	−	61.4152i	−0.0702150	−	0.0627967i
$979$	−309.371	−	178.616i	−0.316008	−	0.182447i
$980$	1247.37	−	327.719i	1.27283	−	0.334407i
$981$	−47.3072	+	108.201i	−0.0482235	+	0.110297i
$982$	18.5905	−	18.5905i	0.0189313	−	0.0189313i
$983$	305.307	−	81.8068i	0.310587	−	0.0832216i	−0.100159	−	0.994971i	$-0.531935\pi$
$983$	305.307	−	81.8068i	0.310587	−	0.0832216i	0.410746	+	0.911750i	$0.365268\pi$
$984$	−32.6754	−	16.5112i	−0.0332068	−	0.0167796i
$985$	1602.70	+	7.81899i	1.62711	+	0.00793806i
$986$	−237.553	−	411.453i	−0.240926	−	0.417295i
$987$	−680.425	−	2070.48i	−0.689387	−	2.09775i
$988$	102.841	−	27.5563i	0.104091	−	0.0278910i
$989$			567.460i			0.573771i
$990$	−11.5310	−	107.812i	−0.0116474	−	0.108901i
$991$	−1401.99			−1.41472			−0.707362	−	0.706852i	$-0.750115\pi$
$991$	−1401.99			−1.41472			−0.707362	+	0.706852i	$0.750115\pi$
$992$	−366.889	−	1369.25i	−0.369848	−	1.38029i
$993$	273.611	+	244.703i	0.275539	+	0.246428i
$994$	579.651	−	334.662i	0.583150	−	0.336682i
$995$	381.947	−	378.238i	0.383866	−	0.380139i
$996$	−545.022	−	833.130i	−0.547211	−	0.836475i
$997$	349.692	+	1305.07i	0.350745	+	1.30900i	0.885756	+	0.464152i	$0.153641\pi$
$997$	349.692	+	1305.07i	0.350745	+	1.30900i	−0.535011	+	0.844845i	$0.679693\pi$
$998$	309.014	+	309.014i	0.309633	+	0.309633i
$999$	91.6809	+	543.404i	0.0917727	+	0.543947i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	45.3.k.a.43.7	yes	40
3.2	odd	2		135.3.l.a.73.4		40
5.2	odd	4	inner	45.3.k.a.7.4	✓	40
5.3	odd	4		225.3.o.b.7.7		40
5.4	even	2		225.3.o.b.43.4		40
9.2	odd	6		405.3.g.g.163.4		20
9.4	even	3	inner	45.3.k.a.13.4	yes	40
9.5	odd	6		135.3.l.a.118.7		40
9.7	even	3		405.3.g.h.163.7		20
15.2	even	4		135.3.l.a.127.7		40
45.2	even	12		405.3.g.g.82.4		20
45.4	even	6		225.3.o.b.193.7		40
45.7	odd	12		405.3.g.h.82.7		20
45.13	odd	12		225.3.o.b.157.4		40
45.22	odd	12	inner	45.3.k.a.22.7	yes	40
45.32	even	12		135.3.l.a.37.4		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
45.3.k.a.7.4	✓	40	5.2	odd	4	inner
45.3.k.a.13.4	yes	40	9.4	even	3	inner
45.3.k.a.22.7	yes	40	45.22	odd	12	inner
45.3.k.a.43.7	yes	40	1.1	even	1	trivial
135.3.l.a.37.4		40	45.32	even	12
135.3.l.a.73.4		40	3.2	odd	2
135.3.l.a.118.7		40	9.5	odd	6
135.3.l.a.127.7		40	15.2	even	4
225.3.o.b.7.7		40	5.3	odd	4
225.3.o.b.43.4		40	5.4	even	2
225.3.o.b.157.4		40	45.13	odd	12
225.3.o.b.193.7		40	45.4	even	6
405.3.g.g.82.4		20	45.2	even	12
405.3.g.g.163.4		20	9.2	odd	6
405.3.g.h.82.7		20	45.7	odd	12
405.3.g.h.163.7		20	9.7	even	3

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:	\( N \)	\(=\)	\( 45 = 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	45.k (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.238965 + 0.891829i) q^{2} +(0.613889 - 2.93652i) q^{3} +(2.72585 - 1.57377i) q^{4} +(-3.51824 - 3.55274i) q^{5} +(2.76557 - 0.154241i) q^{6} +(2.96175 + 11.0534i) q^{7} +(4.66637 + 4.66637i) q^{8} +(-8.24628 - 3.60539i) q^{9} +O(q^{10})\)	\(q+(0.238965 + 0.891829i) q^{2} +(0.613889 - 2.93652i) q^{3} +(2.72585 - 1.57377i) q^{4} +(-3.51824 - 3.55274i) q^{5} +(2.76557 - 0.154241i) q^{6} +(2.96175 + 11.0534i) q^{7} +(4.66637 + 4.66637i) q^{8} +(-8.24628 - 3.60539i) q^{9} +(2.32770 - 3.98665i) q^{10} +(-1.30484 + 2.26005i) q^{11} +(-2.94803 - 8.97062i) q^{12} +(-0.764853 + 2.85447i) q^{13} +(-9.15000 + 5.28276i) q^{14} +(-12.5925 + 8.15040i) q^{15} +(3.24857 - 5.62669i) q^{16} +(-13.6850 + 13.6850i) q^{17} +(1.24482 - 8.21583i) q^{18} -11.4465i q^{19} +(-15.1814 - 4.14733i) q^{20} +(34.2768 - 1.91167i) q^{21} +(-2.32738 - 0.623621i) q^{22} +(2.89082 - 10.7887i) q^{23} +(16.5675 - 10.8382i) q^{24} +(-0.243925 + 24.9988i) q^{25} -2.72847 q^{26} +(-15.6496 + 22.0020i) q^{27} +(25.4688 + 25.4688i) q^{28} +(23.0262 + 13.2942i) q^{29} +(-10.2779 - 9.28269i) q^{30} +(-21.8787 - 37.8950i) q^{31} +(31.2919 + 8.38463i) q^{32} +(5.83564 + 5.21910i) q^{33} +(-15.4750 - 8.93448i) q^{34} +(28.8498 - 49.4110i) q^{35} +(-28.1522 + 3.14999i) q^{36} +(14.4324 - 14.4324i) q^{37} +(10.2083 - 2.73530i) q^{38} +(7.91267 + 3.99833i) q^{39} +(0.160974 - 32.9958i) q^{40} +(-0.924605 - 1.60146i) q^{41} +(9.89582 + 30.1122i) q^{42} +(-49.0742 + 13.1494i) q^{43} +8.21405i q^{44} +(16.2034 + 41.9815i) q^{45} +10.3125 q^{46} +(-16.4309 - 61.3211i) q^{47} +(-14.5286 - 12.9936i) q^{48} +(-70.9709 + 40.9750i) q^{49} +(-22.3529 + 5.75630i) q^{50} +(31.7853 + 48.5875i) q^{51} +(2.40740 + 8.98455i) q^{52} +(6.43481 + 6.43481i) q^{53} +(-23.3618 - 8.69905i) q^{54} +(12.6201 - 3.31564i) q^{55} +(-37.7587 + 65.4000i) q^{56} +(-33.6128 - 7.02686i) q^{57} +(-6.35367 + 23.7122i) q^{58} +(49.5170 - 28.5886i) q^{59} +(-21.4984 + 42.0344i) q^{60} +(16.8393 - 29.1666i) q^{61} +(28.5676 - 28.5676i) q^{62} +(15.4285 - 101.828i) q^{63} +3.92205i q^{64} +(12.8321 - 7.32540i) q^{65} +(-3.26003 + 6.45157i) q^{66} +(31.4072 + 8.41554i) q^{67} +(-15.7663 + 58.8405i) q^{68} +(-29.9066 - 15.1120i) q^{69} +(50.9602 + 13.9216i) q^{70} -63.3498 q^{71} +(-21.6561 - 55.3043i) q^{72} +(-50.9063 - 50.9063i) q^{73} +(16.3201 + 9.42239i) q^{74} +(73.2597 + 16.0628i) q^{75} +(-18.0141 - 31.2013i) q^{76} +(-28.8458 - 7.72922i) q^{77} +(-1.67498 + 8.01221i) q^{78} +(59.5972 + 34.4084i) q^{79} +(-31.4194 + 8.25473i) q^{80} +(55.0023 + 59.4622i) q^{81} +(1.20728 - 1.20728i) q^{82} +(101.841 - 27.2882i) q^{83} +(90.4247 - 59.1546i) q^{84} +(96.7668 + 0.472089i) q^{85} +(-23.4540 - 40.6236i) q^{86} +(53.1740 - 59.4556i) q^{87} +(-16.6351 + 4.45735i) q^{88} +136.887i q^{89} +(-33.5683 + 24.4828i) q^{90} -33.8170 q^{91} +(-9.09897 - 33.9578i) q^{92} +(-124.710 + 40.9838i) q^{93} +(50.7615 - 29.3072i) q^{94} +(-40.6663 + 40.2715i) q^{95} +(43.8313 - 86.7419i) q^{96} +(-9.45952 - 35.3034i) q^{97} +(-53.5023 - 53.5023i) q^{98} +(18.9084 - 13.9325i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 2 q^{2} - 6 q^{3} - 2 q^{5} - 24 q^{6} - 2 q^{7} - 24 q^{8}+O(q^{10}) \) 40 * q - 2 * q^2 - 6 * q^3 - 2 * q^5 - 24 * q^6 - 2 * q^7 - 24 * q^8	\( 40 q - 2 q^{2} - 6 q^{3} - 2 q^{5} - 24 q^{6} - 2 q^{7} - 24 q^{8} - 8 q^{10} + 8 q^{11} - 30 q^{12} - 2 q^{13} - 30 q^{15} + 28 q^{16} + 28 q^{17} + 48 q^{18} - 114 q^{20} + 12 q^{21} + 14 q^{22} + 82 q^{23} - 8 q^{25} - 112 q^{26} - 198 q^{27} - 88 q^{28} + 162 q^{30} - 4 q^{31} - 14 q^{32} + 96 q^{33} + 352 q^{35} + 264 q^{36} - 92 q^{37} + 330 q^{38} + 30 q^{40} - 28 q^{41} + 498 q^{42} - 2 q^{43} - 72 q^{45} - 136 q^{46} + 64 q^{47} - 510 q^{48} - 458 q^{50} - 396 q^{51} - 74 q^{52} - 608 q^{53} + 224 q^{55} - 192 q^{56} - 114 q^{57} + 30 q^{58} - 798 q^{60} + 92 q^{61} - 100 q^{62} + 24 q^{63} - 326 q^{65} + 588 q^{66} - 80 q^{67} + 626 q^{68} - 102 q^{70} + 248 q^{71} - 162 q^{72} - 8 q^{73} + 810 q^{75} - 96 q^{76} + 338 q^{77} + 1062 q^{78} + 1444 q^{80} + 204 q^{81} + 104 q^{82} + 370 q^{83} - 98 q^{85} - 328 q^{86} + 534 q^{87} - 210 q^{88} + 462 q^{90} + 152 q^{91} + 388 q^{92} - 1062 q^{93} - 360 q^{95} - 876 q^{96} + 292 q^{97} - 1876 q^{98}+O(q^{100}) \) 40 * q - 2 * q^2 - 6 * q^3 - 2 * q^5 - 24 * q^6 - 2 * q^7 - 24 * q^8 - 8 * q^10 + 8 * q^11 - 30 * q^12 - 2 * q^13 - 30 * q^15 + 28 * q^16 + 28 * q^17 + 48 * q^18 - 114 * q^20 + 12 * q^21 + 14 * q^22 + 82 * q^23 - 8 * q^25 - 112 * q^26 - 198 * q^27 - 88 * q^28 + 162 * q^30 - 4 * q^31 - 14 * q^32 + 96 * q^33 + 352 * q^35 + 264 * q^36 - 92 * q^37 + 330 * q^38 + 30 * q^40 - 28 * q^41 + 498 * q^42 - 2 * q^43 - 72 * q^45 - 136 * q^46 + 64 * q^47 - 510 * q^48 - 458 * q^50 - 396 * q^51 - 74 * q^52 - 608 * q^53 + 224 * q^55 - 192 * q^56 - 114 * q^57 + 30 * q^58 - 798 * q^60 + 92 * q^61 - 100 * q^62 + 24 * q^63 - 326 * q^65 + 588 * q^66 - 80 * q^67 + 626 * q^68 - 102 * q^70 + 248 * q^71 - 162 * q^72 - 8 * q^73 + 810 * q^75 - 96 * q^76 + 338 * q^77 + 1062 * q^78 + 1444 * q^80 + 204 * q^81 + 104 * q^82 + 370 * q^83 - 98 * q^85 - 328 * q^86 + 534 * q^87 - 210 * q^88 + 462 * q^90 + 152 * q^91 + 388 * q^92 - 1062 * q^93 - 360 * q^95 - 876 * q^96 + 292 * q^97 - 1876 * q^98

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