LMFDB - Embedded newform 44.3.h.a.15.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [44,3,Mod(3,44)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(44, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 8]))

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

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

chi := DirichletCharacter("44.3");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 44 = 2^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	44.h (of order $10$, 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:	$1.19891316319$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$10$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			15.10
Character	$\chi$	$=$	44.15
Dual form			44.3.h.a.3.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.98526 + 0.242393i) q^{2} +(-1.03917 - 0.337648i) q^{3} +(3.88249 + 0.962424i) q^{4} +(0.605291 - 0.439770i) q^{5} +(-1.98118 - 0.922207i) q^{6} +(-3.68852 + 1.19847i) q^{7} +(7.47446 + 2.85175i) q^{8} +(-6.31528 - 4.58832i) q^{9} +O(q^{10})$	\(q+(1.98526 + 0.242393i) q^{2} +(-1.03917 - 0.337648i) q^{3} +(3.88249 + 0.962424i) q^{4} +(0.605291 - 0.439770i) q^{5} +(-1.98118 - 0.922207i) q^{6} +(-3.68852 + 1.19847i) q^{7} +(7.47446 + 2.85175i) q^{8} +(-6.31528 - 4.58832i) q^{9} +(1.30826 - 0.726338i) q^{10} +(-10.4619 + 3.39827i) q^{11} +(-3.70962 - 2.31104i) q^{12} +(-2.78472 - 2.02322i) q^{13} +(-7.61316 + 1.48521i) q^{14} +(-0.777490 + 0.252622i) q^{15} +(14.1475 + 7.47320i) q^{16} +(6.28791 - 4.56843i) q^{17} +(-11.4253 - 10.6398i) q^{18} +(18.2467 + 5.92872i) q^{19} +(2.77328 - 1.12486i) q^{20} +4.23767 q^{21} +(-21.5933 + 4.21055i) q^{22} -15.0061i q^{23} +(-6.80438 - 5.48720i) q^{24} +(-7.55245 + 23.2440i) q^{25} +(-5.03798 - 4.69161i) q^{26} +(10.7936 + 14.8562i) q^{27} +(-15.4741 + 1.10314i) q^{28} +(4.31911 + 13.2929i) q^{29} +(-1.60475 + 0.313061i) q^{30} +(32.6981 - 45.0051i) q^{31} +(26.2749 + 18.2655i) q^{32} +(12.0192 + 0.00105272i) q^{33} +(13.5905 - 7.54537i) q^{34} +(-1.70557 + 2.34752i) q^{35} +(-20.1031 - 23.8921i) q^{36} +(11.3339 + 34.8823i) q^{37} +(34.7874 + 16.1929i) q^{38} +(2.21068 + 3.04274i) q^{39} +(5.77833 - 1.56090i) q^{40} +(17.0545 - 52.4884i) q^{41} +(8.41287 + 1.02718i) q^{42} +43.0444i q^{43} +(-43.8889 + 3.12496i) q^{44} -5.84038 q^{45} +(3.63738 - 29.7910i) q^{46} +(-46.1847 - 15.0063i) q^{47} +(-12.1784 - 12.5428i) q^{48} +(-27.4730 + 19.9603i) q^{49} +(-20.6277 + 44.3147i) q^{50} +(-8.07676 + 2.62430i) q^{51} +(-8.86447 - 10.5352i) q^{52} +(-74.7736 - 54.3262i) q^{53} +(17.8271 + 32.1096i) q^{54} +(-4.83805 + 6.65778i) q^{55} +(-30.9874 - 1.56078i) q^{56} +(-16.9597 - 12.3220i) q^{57} +(5.35245 + 27.4367i) q^{58} +(-76.2995 + 24.7912i) q^{59} +(-3.26173 + 0.232527i) q^{60} +(62.8898 - 45.6921i) q^{61} +(75.8230 - 81.4209i) q^{62} +(28.7930 + 9.35541i) q^{63} +(47.7351 + 42.6305i) q^{64} -2.57532 q^{65} +(23.8609 + 2.91545i) q^{66} +57.7376i q^{67} +(28.8095 - 11.6853i) q^{68} +(-5.06680 + 15.5940i) q^{69} +(-3.95503 + 4.24702i) q^{70} +(-57.7740 - 79.5191i) q^{71} +(-34.1186 - 52.3047i) q^{72} +(23.1219 + 71.1618i) q^{73} +(14.0456 + 71.9975i) q^{74} +(15.6966 - 21.6045i) q^{75} +(65.1368 + 40.5793i) q^{76} +(34.5162 - 25.0729i) q^{77} +(3.65123 + 6.57647i) q^{78} +(44.4641 - 61.1996i) q^{79} +(11.8498 - 1.69817i) q^{80} +(15.5097 + 47.7339i) q^{81} +(46.5804 - 100.069i) q^{82} +(38.8192 + 53.4301i) q^{83} +(16.4527 + 4.07844i) q^{84} +(1.79696 - 5.53046i) q^{85} +(-10.4337 + 85.4543i) q^{86} -15.2719i q^{87} +(-87.8882 - 4.43450i) q^{88} +46.7420 q^{89} +(-11.5947 - 1.41567i) q^{90} +(12.6963 + 4.12527i) q^{91} +(14.4423 - 58.2612i) q^{92} +(-49.1749 + 35.7277i) q^{93} +(-88.0511 - 40.9862i) q^{94} +(13.6519 - 4.43576i) q^{95} +(-21.1369 - 27.8527i) q^{96} +(-86.8069 - 63.0689i) q^{97} +(-59.3792 + 32.9671i) q^{98} +(81.6622 + 26.5416i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 5 q^{2} - 9 q^{4} - 6 q^{5} - 11 q^{6} + 7 q^{8} + 20 q^{9}+O(q^{10}) $ 40 * q - 5 * q^2 - 9 * q^4 - 6 * q^5 - 11 * q^6 + 7 * q^8 + 20 * q^9	$ 40 q - 5 q^{2} - 9 q^{4} - 6 q^{5} - 11 q^{6} + 7 q^{8} + 20 q^{9} - 8 q^{10} - 50 q^{12} - 6 q^{13} - 36 q^{14} - 65 q^{16} - 30 q^{17} - 58 q^{18} + 34 q^{20} - 52 q^{21} + 25 q^{22} + 49 q^{24} + 156 q^{26} + 130 q^{28} - 38 q^{29} + 94 q^{30} + 20 q^{32} - 110 q^{33} + 258 q^{34} + 324 q^{36} - 150 q^{37} + 80 q^{38} + 112 q^{40} - 150 q^{41} - 230 q^{42} + 4 q^{44} + 144 q^{45} + 40 q^{46} - 304 q^{48} + 132 q^{49} - 177 q^{50} - 314 q^{52} + 290 q^{53} - 540 q^{54} - 856 q^{56} + 242 q^{57} - 476 q^{58} - 344 q^{60} + 42 q^{61} - 364 q^{62} + 303 q^{64} + 164 q^{65} - 50 q^{66} + 14 q^{68} - 104 q^{69} + 576 q^{70} + 535 q^{72} + 186 q^{73} + 588 q^{74} + 366 q^{76} + 190 q^{77} + 1412 q^{78} + 1100 q^{80} - 160 q^{81} + 365 q^{82} + 380 q^{84} + 286 q^{85} - 501 q^{86} + 47 q^{88} - 88 q^{89} - 150 q^{90} - 702 q^{92} - 178 q^{93} - 678 q^{94} - 616 q^{96} - 130 q^{97} - 652 q^{98}+O(q^{100}) $ 40 * q - 5 * q^2 - 9 * q^4 - 6 * q^5 - 11 * q^6 + 7 * q^8 + 20 * q^9 - 8 * q^10 - 50 * q^12 - 6 * q^13 - 36 * q^14 - 65 * q^16 - 30 * q^17 - 58 * q^18 + 34 * q^20 - 52 * q^21 + 25 * q^22 + 49 * q^24 + 156 * q^26 + 130 * q^28 - 38 * q^29 + 94 * q^30 + 20 * q^32 - 110 * q^33 + 258 * q^34 + 324 * q^36 - 150 * q^37 + 80 * q^38 + 112 * q^40 - 150 * q^41 - 230 * q^42 + 4 * q^44 + 144 * q^45 + 40 * q^46 - 304 * q^48 + 132 * q^49 - 177 * q^50 - 314 * q^52 + 290 * q^53 - 540 * q^54 - 856 * q^56 + 242 * q^57 - 476 * q^58 - 344 * q^60 + 42 * q^61 - 364 * q^62 + 303 * q^64 + 164 * q^65 - 50 * q^66 + 14 * q^68 - 104 * q^69 + 576 * q^70 + 535 * q^72 + 186 * q^73 + 588 * q^74 + 366 * q^76 + 190 * q^77 + 1412 * q^78 + 1100 * q^80 - 160 * q^81 + 365 * q^82 + 380 * q^84 + 286 * q^85 - 501 * q^86 + 47 * q^88 - 88 * q^89 - 150 * q^90 - 702 * q^92 - 178 * q^93 - 678 * q^94 - 616 * q^96 - 130 * q^97 - 652 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/44\mathbb{Z}\right)^\times$.

$n$	$13$	$23$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$-1$

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 $

$2$	1.98526	+	0.242393i	0.992629	+	0.121196i
$2$	1.98526	+	0.242393i	0.992629	+	0.121196i
$3$	−1.03917	−	0.337648i	−0.346391	−	0.112549i	0.130654	−	0.991428i	$-0.458292\pi$
$3$	−1.03917	−	0.337648i	−0.346391	−	0.112549i	−0.477045	+	0.878879i	$0.658292\pi$
$4$	3.88249	+	0.962424i	0.970623	+	0.240606i
$5$	0.605291	−	0.439770i	0.121058	−	0.0879539i	−0.525609	−	0.850726i	$-0.676162\pi$
$5$	0.605291	−	0.439770i	0.121058	−	0.0879539i	0.646667	+	0.762773i	$0.276162\pi$
$6$	−1.98118	−	0.922207i	−0.330197	−	0.153701i
$7$	−3.68852	+	1.19847i	−0.526931	+	0.171210i	−0.560389	−	0.828230i	$-0.689348\pi$
$7$	−3.68852	+	1.19847i	−0.526931	+	0.171210i	0.0334574	+	0.999440i	$0.489348\pi$
$8$	7.47446	+	2.85175i	0.934307	+	0.356468i
$9$	−6.31528	−	4.58832i	−0.701697	−	0.509813i
$10$	1.30826	−	0.726338i	0.130826	−	0.0726338i
$11$	−10.4619	+	3.39827i	−0.951084	+	0.308934i
$11$	−10.4619	+	3.39827i	−0.951084	+	0.308934i
$12$	−3.70962	−	2.31104i	−0.309135	−	0.192587i
$13$	−2.78472	−	2.02322i	−0.214210	−	0.155632i	0.475507	−	0.879712i	$-0.342265\pi$
$13$	−2.78472	−	2.02322i	−0.214210	−	0.155632i	−0.689716	+	0.724080i	$0.742265\pi$
$14$	−7.61316	+	1.48521i	−0.543797	+	0.106086i
$15$	−0.777490	+	0.252622i	−0.0518327	+	0.0168415i
$16$	14.1475	+	7.47320i	0.884218	+	0.467075i
$17$	6.28791	−	4.56843i	0.369877	−	0.268731i	−0.387283	−	0.921961i	$-0.626586\pi$
$17$	6.28791	−	4.56843i	0.369877	−	0.268731i	0.757160	+	0.653230i	$0.226586\pi$
$18$	−11.4253	−	10.6398i	−0.634737	−	0.591098i
$19$	18.2467	+	5.92872i	0.960354	+	0.312038i	0.746916	−	0.664919i	$-0.231534\pi$
$19$	18.2467	+	5.92872i	0.960354	+	0.312038i	0.213438	+	0.976957i	$0.431534\pi$
$20$	2.77328	−	1.12486i	0.138664	−	0.0562428i
$21$	4.23767			0.201794
$22$	−21.5933	+	4.21055i	−0.981514	+	0.191389i
$23$		−	15.0061i		−	0.652441i	−0.945294	−	0.326220i	$-0.894225\pi$
$23$		−	15.0061i		−	0.652441i	0.945294	−	0.326220i	$-0.105775\pi$
$24$	−6.80438	−	5.48720i	−0.283516	−	0.228633i
$25$	−7.55245	+	23.2440i	−0.302098	+	0.929761i
$26$	−5.03798	−	4.69161i	−0.193768	−	0.180447i
$27$	10.7936	+	14.8562i	0.399764	+	0.550229i
$28$	−15.4741	+	1.10314i	−0.552646	+	0.0393979i
$29$	4.31911	+	13.2929i	0.148935	+	0.458374i	0.997496	−	0.0707231i	$-0.0225307\pi$
$29$	4.31911	+	13.2929i	0.148935	+	0.458374i	−0.848561	+	0.529097i	$0.822531\pi$
$30$	−1.60475	+	0.313061i	−0.0534917	+	0.0104354i
$31$	32.6981	−	45.0051i	1.05478	−	1.45178i	0.170185	−	0.985412i	$-0.445564\pi$
$31$	32.6981	−	45.0051i	1.05478	−	1.45178i	0.884593	−	0.466364i	$-0.154436\pi$
$32$	26.2749	+	18.2655i	0.821092	+	0.570796i
$33$	12.0192	+	0.00105272i	0.364218	+	3.19005e-5i
$34$	13.5905	−	7.54537i	0.399720	−	0.221923i
$35$	−1.70557	+	2.34752i	−0.0487307	+	0.0670721i
$36$	−20.1031	−	23.8921i	−0.558419	−	0.663669i
$37$	11.3339	+	34.8823i	0.306323	+	0.942764i	0.979180	+	0.202992i	$0.0650666\pi$
$37$	11.3339	+	34.8823i	0.306323	+	0.942764i	−0.672858	+	0.739772i	$0.734933\pi$
$38$	34.7874	+	16.1929i	0.915457	+	0.426129i
$39$	2.21068	+	3.04274i	0.0566840	+	0.0780189i
$40$	5.77833	−	1.56090i	0.144458	−	0.0390226i
$41$	17.0545	−	52.4884i	0.415964	−	1.28020i	−0.495422	−	0.868652i	$-0.664987\pi$
$41$	17.0545	−	52.4884i	0.415964	−	1.28020i	0.911386	−	0.411553i	$-0.135013\pi$
$42$	8.41287	+	1.02718i	0.200307	+	0.0244567i
$43$			43.0444i			1.00103i	0.865727	+	0.500517i	$0.166857\pi$
$43$			43.0444i			1.00103i	−0.865727	+	0.500517i	$0.833143\pi$
$44$	−43.8889	+	3.12496i	−0.997475	+	0.0710218i
$45$	−5.84038			−0.129786
$46$	3.63738	−	29.7910i	0.0790734	−	0.647631i
$47$	−46.1847	−	15.0063i	−0.982653	−	0.319283i	−0.226740	−	0.973955i	$-0.572807\pi$
$47$	−46.1847	−	15.0063i	−0.982653	−	0.319283i	−0.755913	+	0.654672i	$0.772807\pi$
$48$	−12.1784	−	12.5428i	−0.253716	−	0.261309i
$49$	−27.4730	+	19.9603i	−0.560674	+	0.407353i
$50$	−20.6277	+	44.3147i	−0.412555	+	0.886295i
$51$	−8.07676	+	2.62430i	−0.158368	+	0.0514568i
$52$	−8.86447	−	10.5352i	−0.170471	−	0.202600i
$53$	−74.7736	−	54.3262i	−1.41082	−	1.02502i	−0.993202	−	0.116402i	$-0.962864\pi$
$53$	−74.7736	−	54.3262i	−1.41082	−	1.02502i	−0.417621	−	0.908621i	$-0.637136\pi$
$54$	17.8271	+	32.1096i	0.330132	+	0.594623i
$55$	−4.83805	+	6.65778i	−0.0879645	+	0.121050i
$56$	−30.9874	−	1.56078i	−0.553347	−	0.0278712i
$57$	−16.9597	−	12.3220i	−0.297539	−	0.216175i
$58$	5.35245	+	27.4367i	0.0922837	+	0.473046i
$59$	−76.2995	+	24.7912i	−1.29321	+	0.420190i	−0.873215	−	0.487335i	$-0.837969\pi$
$59$	−76.2995	+	24.7912i	−1.29321	+	0.420190i	−0.419997	+	0.907525i	$0.637969\pi$
$60$	−3.26173	+	0.232527i	−0.0543621	+	0.00387546i
$61$	62.8898	−	45.6921i	1.03098	−	0.749052i	0.0624763	−	0.998046i	$-0.480100\pi$
$61$	62.8898	−	45.6921i	1.03098	−	0.749052i	0.968505	+	0.248995i	$0.0801002\pi$
$62$	75.8230	−	81.4209i	1.22295	−	1.31324i
$63$	28.7930	+	9.35541i	0.457031	+	0.148499i
$64$	47.7351	+	42.6305i	0.745861	+	0.666102i
$65$	−2.57532			−0.0396203
$66$	23.8609	+	2.91545i	0.361529	+	0.0441735i
$67$			57.7376i			0.861755i	0.902411	+	0.430877i	$0.141796\pi$
$67$			57.7376i			0.861755i	−0.902411	+	0.430877i	$0.858204\pi$
$68$	28.8095	−	11.6853i	0.423669	−	0.171842i
$69$	−5.06680	+	15.5940i	−0.0734318	+	0.226000i
$70$	−3.95503	+	4.24702i	−0.0565004	+	0.0606717i
$71$	−57.7740	−	79.5191i	−0.813719	−	1.11999i	−0.990739	−	0.135780i	$-0.956646\pi$
$71$	−57.7740	−	79.5191i	−0.813719	−	1.11999i	0.177020	−	0.984207i	$-0.443354\pi$
$72$	−34.1186	−	52.3047i	−0.473869	−	0.726455i
$73$	23.1219	+	71.1618i	0.316738	+	0.974820i	0.975033	+	0.222060i	$0.0712780\pi$
$73$	23.1219	+	71.1618i	0.316738	+	0.974820i	−0.658295	+	0.752760i	$0.728722\pi$
$74$	14.0456	+	71.9975i	0.189805	+	0.972939i
$75$	15.6966	−	21.6045i	0.209288	−	0.288060i
$76$	65.1368	+	40.5793i	0.857064	+	0.533938i
$77$	34.5162	−	25.0729i	0.448263	−	0.325622i
$78$	3.65123	+	6.57647i	0.0468106	+	0.0843137i
$79$	44.4641	−	61.1996i	0.562837	−	0.774678i	−0.428847	−	0.903377i	$-0.641080\pi$
$79$	44.4641	−	61.1996i	0.562837	−	0.774678i	0.991684	+	0.128699i	$0.0410801\pi$
$80$	11.8498	−	1.69817i	0.148123	−	0.0212271i
$81$	15.5097	+	47.7339i	0.191477	+	0.589307i
$82$	46.5804	−	100.069i	0.568054	−	1.22035i
$83$	38.8192	+	53.4301i	0.467701	+	0.643736i	0.976084	−	0.217396i	$-0.0697562\pi$
$83$	38.8192	+	53.4301i	0.467701	+	0.643736i	−0.508382	+	0.861132i	$0.669756\pi$
$84$	16.4527	+	4.07844i	0.195866	+	0.0485528i
$85$	1.79696	−	5.53046i	0.0211407	−	0.0650643i
$86$	−10.4337	+	85.4543i	−0.121322	+	0.993654i
$87$		−	15.2719i		−	0.175539i
$88$	−87.8882	−	4.43450i	−0.998730	−	0.0503920i
$89$	46.7420			0.525191			0.262596	−	0.964906i	$-0.415421\pi$
$89$	46.7420			0.525191			0.262596	+	0.964906i	$0.415421\pi$
$90$	−11.5947	−	1.41567i	−0.128830	−	0.0157296i
$91$	12.6963	+	4.12527i	0.139520	+	0.0453327i
$92$	14.4423	−	58.2612i	0.156981	−	0.633274i
$93$	−49.1749	+	35.7277i	−0.528762	+	0.384168i
$94$	−88.0511	−	40.9862i	−0.936713	−	0.436024i
$95$	13.6519	−	4.43576i	0.143704	−	0.0466922i
$96$	−21.1369	−	27.8527i	−0.220176	−	0.290132i
$97$	−86.8069	−	63.0689i	−0.894916	−	0.650195i	0.0422389	−	0.999108i	$-0.486551\pi$
$97$	−86.8069	−	63.0689i	−0.894916	−	0.650195i	−0.937155	+	0.348913i	$0.886551\pi$
$98$	−59.3792	+	32.9671i	−0.605910	+	0.336399i
$99$	81.6622	+	26.5416i	0.824871	+	0.268097i
$100$	−51.6929	+	82.9761i	−0.516929	+	0.829761i
$101$	58.6040	+	42.5783i	0.580238	+	0.421568i	0.838810	−	0.544424i	$-0.183252\pi$
$101$	58.6040	+	42.5783i	0.580238	+	0.421568i	−0.258572	+	0.965992i	$0.583252\pi$
$102$	−16.6706	+	3.25216i	−0.163437	+	0.0318839i
$103$	19.9403	−	6.47899i	0.193595	−	0.0629029i	−0.210615	−	0.977569i	$-0.567547\pi$
$103$	19.9403	−	6.47899i	0.193595	−	0.0629029i	0.404210	+	0.914666i	$0.367547\pi$
$104$	−15.0446	−	23.0638i	−0.144660	−	0.221767i
$105$	2.56503	−	1.86360i	0.0244288	−	0.0177486i
$106$	−135.277	−	125.976i	−1.27619	−	1.18845i
$107$	24.9694	+	8.11306i	0.233359	+	0.0758230i	0.423362	−	0.905961i	$-0.360850\pi$
$107$	24.9694	+	8.11306i	0.233359	+	0.0758230i	−0.190003	+	0.981783i	$0.560850\pi$
$108$	27.6083	+	68.0670i	0.255632	+	0.630250i
$109$	−79.3568			−0.728044			−0.364022	−	0.931390i	$-0.618597\pi$
$109$	−79.3568			−0.728044			−0.364022	+	0.931390i	$0.618597\pi$
$110$	−11.2186	+	12.0447i	−0.101987	+	0.109497i
$111$		−	40.0756i		−	0.361042i
$112$	−61.1397	−	10.6097i	−0.545890	−	0.0947293i
$113$	−7.02958	+	21.6348i	−0.0622087	+	0.191459i	−0.977331	−	0.211718i	$-0.932094\pi$
$113$	−7.02958	+	21.6348i	−0.0622087	+	0.191459i	0.915122	+	0.403177i	$0.132094\pi$
$114$	−30.6826	−	28.5732i	−0.269146	−	0.250642i
$115$	−6.59924	−	9.08308i	−0.0573847	−	0.0789833i
$116$	3.97555	+	55.7662i	0.0342720	+	0.480743i
$117$	8.30313	+	25.5544i	0.0709669	+	0.218414i
$118$	−157.483	+	30.7225i	−1.33460	+	0.260360i
$119$	−17.7179	+	24.3866i	−0.148890	+	0.204930i
$120$	−6.53173	−	0.328993i	−0.0544311	−	0.00274160i
$121$	97.9035	−	71.1049i	0.809120	−	0.587644i
$122$	135.928	−	75.4666i	1.11416	−	0.618579i
$123$	−35.4452	+	48.7862i	−0.288173	+	0.396636i
$124$	170.264	−	143.262i	1.37310	−	1.15534i
$125$	11.4306	+	35.1798i	0.0914449	+	0.281438i
$126$	54.8938	+	25.5521i	0.435665	+	0.202794i
$127$	52.1961	+	71.8418i	0.410993	+	0.565683i	0.963460	−	0.267851i	$-0.0863136\pi$
$127$	52.1961	+	71.8418i	0.410993	+	0.565683i	−0.552467	+	0.833535i	$0.686314\pi$
$128$	84.4331	+	96.2032i	0.659634	+	0.751587i
$129$	14.5339	−	44.7307i	0.112666	−	0.346749i
$130$	−5.11267	−	0.624239i	−0.0393282	−	0.00480184i
$131$		−	170.654i		−	1.30271i	−0.758775	−	0.651353i	$-0.774202\pi$
$131$		−	170.654i		−	1.30271i	0.758775	−	0.651353i	$-0.225798\pi$
$132$	46.6633	+	11.5716i	0.353510	+	0.0876639i
$133$	−74.4088			−0.559465
$134$	−13.9952	+	114.624i	−0.104442	+	0.855402i
$135$	13.0666	+	4.24559i	0.0967895	+	0.0314488i
$136$	60.0267	−	16.2151i	0.441373	−	0.119228i
$137$	−72.1395	+	52.4124i	−0.526565	+	0.382572i	−0.819071	−	0.573692i	$-0.805511\pi$
$137$	−72.1395	+	52.4124i	−0.526565	+	0.382572i	0.292506	+	0.956264i	$0.405511\pi$
$138$	−13.8388	+	29.7299i	−0.100281	+	0.215434i
$139$	−170.380	+	55.3599i	−1.22576	+	0.398273i	−0.849176	−	0.528111i	$-0.822901\pi$
$139$	−170.380	+	55.3599i	−1.22576	+	0.398273i	−0.376582	+	0.926383i	$0.622901\pi$
$140$	−8.88119	+	7.47275i	−0.0634371	+	0.0533768i
$141$	42.9271	+	31.1884i	0.304447	+	0.221194i
$142$	−95.4214	−	171.870i	−0.671982	−	1.21035i
$143$	36.0090	+	11.7035i	0.251811	+	0.0818428i
$144$	−55.0558	−	112.108i	−0.382332	−	0.778531i
$145$	8.46011	+	6.14663i	0.0583456	+	0.0423906i
$146$	28.6538	+	146.879i	0.196259	+	1.00602i
$147$	35.2888	−	11.4660i	0.240060	−	0.0780002i
$148$	10.4324	+	146.338i	0.0704891	+	0.988771i
$149$	95.8450	−	69.6355i	0.643255	−	0.467352i	−0.217712	−	0.976013i	$-0.569859\pi$
$149$	95.8450	−	69.6355i	0.643255	−	0.467352i	0.860967	+	0.508661i	$0.169859\pi$
$150$	36.3986	−	39.0858i	0.242657	−	0.260572i
$151$	−138.124	−	44.8793i	−0.914731	−	0.297214i	−0.186427	−	0.982469i	$-0.559691\pi$
$151$	−138.124	−	44.8793i	−0.914731	−	0.297214i	−0.728303	+	0.685255i	$0.759691\pi$
$152$	119.477	+	96.3490i	0.786034	+	0.633875i
$153$	−60.6713			−0.396544
$154$	74.6011	−	41.4097i	0.484423	−	0.268894i
$155$		−	41.6208i		−	0.268521i
$156$	5.65454	+	13.9410i	0.0362470	+	0.0893654i
$157$	27.4296	−	84.4196i	0.174711	−	0.537705i	−0.824909	−	0.565265i	$-0.808774\pi$
$157$	27.4296	−	84.4196i	0.174711	−	0.537705i	0.999620	+	0.0275605i	$0.00877388\pi$
$158$	103.107	−	110.719i	0.652576	−	0.700754i
$159$	59.3597	+	81.7016i	0.373331	+	0.513847i
$160$	23.9366	−	0.498992i	0.149604	−	0.00311870i
$161$	17.9844	+	55.3504i	0.111705	+	0.343791i
$162$	19.2203	+	98.5234i	0.118644	+	0.608169i
$163$	13.3585	−	18.3864i	0.0819539	−	0.112800i	−0.766072	−	0.642755i	$-0.777791\pi$
$163$	13.3585	−	18.3864i	0.0819539	−	0.112800i	0.848026	+	0.529955i	$0.177791\pi$
$164$	116.730	−	187.372i	0.711769	−	1.14251i
$165$	7.27556	−	5.28503i	0.0440943	−	0.0320305i
$166$	64.1151	+	115.482i	0.386235	+	0.695674i
$167$	−175.977	+	242.212i	−1.05376	+	1.45037i	−0.168247	+	0.985745i	$0.553811\pi$
$167$	−175.977	+	242.212i	−1.05376	+	1.45037i	−0.885508	+	0.464624i	$0.846189\pi$
$168$	31.6743	+	12.0848i	0.188538	+	0.0719332i
$169$	−48.5626	−	149.460i	−0.287353	−	0.884381i
$170$	4.90796	−	10.5438i	0.0288704	−	0.0620225i
$171$	−88.0303	−	121.163i	−0.514797	−	0.708557i
$172$	−41.4270	+	167.120i	−0.240855	+	0.971626i
$173$	−14.5428	+	44.7583i	−0.0840627	+	0.258718i	−0.984249	−	0.176786i	$-0.943430\pi$
$173$	−14.5428	+	44.7583i	−0.0840627	+	0.258718i	0.900187	+	0.435504i	$0.143430\pi$
$174$	3.70180	−	30.3187i	0.0212747	−	0.174245i
$175$		−	94.7874i		−	0.541642i
$176$	−173.406	−	30.1071i	−0.985260	−	0.171063i
$177$	87.6592			0.495250
$178$	92.7949	+	11.3299i	0.521320	+	0.0636513i
$179$	86.7866	+	28.1987i	0.484842	+	0.157535i	0.541230	−	0.840874i	$-0.317959\pi$
$179$	86.7866	+	28.1987i	0.484842	+	0.157535i	−0.0563889	+	0.998409i	$0.517959\pi$
$180$	−22.6752	−	5.62092i	−0.125974	−	0.0312273i
$181$	16.1873	−	11.7607i	0.0894324	−	0.0649764i	−0.542171	−	0.840268i	$-0.682397\pi$
$181$	16.1873	−	11.7607i	0.0894324	−	0.0649764i	0.631603	+	0.775292i	$0.282397\pi$
$182$	24.2054	+	11.2672i	0.132997	+	0.0619077i
$183$	−80.7814	+	26.2475i	−0.441428	+	0.143429i
$184$	42.7937	−	112.163i	0.232574	−	0.609580i
$185$	22.2005	+	16.1296i	0.120003	+	0.0871870i
$186$	−106.285	+	59.0090i	−0.571424	+	0.317252i
$187$	−50.2588	+	69.1626i	−0.268764	+	0.369854i
$188$	−164.869	−	102.711i	−0.876964	−	0.546336i
$189$	−57.6172	−	41.8614i	−0.304853	−	0.221489i
$190$	28.1776	−	5.49701i	0.148303	−	0.0289316i
$191$	208.998	−	67.9075i	1.09423	−	0.355537i	0.294350	−	0.955698i	$-0.404897\pi$
$191$	208.998	−	67.9075i	1.09423	−	0.355537i	0.799879	+	0.600161i	$0.204897\pi$
$192$	−35.2110	−	60.4182i	−0.183390	−	0.314678i
$193$	−72.6595	+	52.7902i	−0.376474	+	0.273524i	−0.759890	−	0.650051i	$-0.774747\pi$
$193$	−72.6595	+	52.7902i	−0.376474	+	0.273524i	0.383416	+	0.923576i	$0.374747\pi$
$194$	−157.047	−	146.249i	−0.809518	−	0.753862i
$195$	2.67621	+	0.869552i	0.0137241	+	0.00445924i
$196$	−125.874	+	51.0551i	−0.642214	+	0.260485i
$197$	−113.348			−0.575370			−0.287685	−	0.957725i	$-0.592886\pi$
$197$	−113.348			−0.575370			−0.287685	+	0.957725i	$0.592886\pi$
$198$	155.687	+	72.4862i	0.786298	+	0.366092i
$199$			128.213i			0.644289i	0.946691	+	0.322144i	$0.104404\pi$
$199$			128.213i			0.644289i	−0.946691	+	0.322144i	$0.895596\pi$
$200$	−122.737	+	152.199i	−0.613683	+	0.760995i
$201$	19.4950	−	59.9994i	0.0969900	−	0.298504i
$202$	106.023	+	98.7341i	0.524868	+	0.488783i
$203$	−31.8622	−	43.8546i	−0.156957	−	0.216032i
$204$	−33.8836	+	2.41555i	−0.166096	+	0.0118409i
$205$	−12.7599	−	39.2708i	−0.0622432	−	0.191565i
$206$	41.1571	−	8.02909i	0.199792	−	0.0389762i
$207$	−68.8529	+	94.7679i	−0.332623	+	0.457816i
$208$	−24.2769	−	49.4343i	−0.116716	−	0.237665i
$209$	−211.043	−	0.0184845i	−1.00978	−	8.84427e-5i
$210$	5.54396	−	3.07798i	0.0263998	−	0.0146571i
$211$	169.233	−	232.929i	0.802053	−	1.10393i	−0.190449	−	0.981697i	$-0.560994\pi$
$211$	169.233	−	232.929i	0.802053	−	1.10393i	0.992501	−	0.122234i	$-0.0390058\pi$
$212$	−238.023	−	282.885i	−1.12275	−	1.33436i
$213$	33.1878	+	102.142i	0.155811	+	0.479538i
$214$	47.6042	+	22.1589i	0.222449	+	0.103546i
$215$	18.9296	+	26.0544i	0.0880448	+	0.121183i
$216$	38.3106	+	141.823i	0.177364	+	0.656586i
$217$	−66.6702	+	205.190i	−0.307236	+	0.945575i
$218$	−157.544	−	19.2355i	−0.722677	−	0.0882363i
$219$		−	81.7566i		−	0.373318i
$220$	−25.1913	+	21.1925i	−0.114506	+	0.0963296i
$221$	−26.7530			−0.121055
$222$	9.71404	−	79.5604i	0.0437569	−	0.358380i
$223$	146.310	+	47.5389i	0.656097	+	0.213179i	0.618101	−	0.786099i	$-0.287902\pi$
$223$	146.310	+	47.5389i	0.656097	+	0.213179i	0.0379966	+	0.999278i	$0.487902\pi$
$224$	−118.806	−	35.8828i	−0.530385	−	0.160191i
$225$	154.347	−	112.139i	0.685986	−	0.498398i
$226$	−19.1996	+	41.2468i	−0.0849542	+	0.182508i
$227$	307.232	−	99.8258i	1.35345	−	0.439761i	0.459596	−	0.888128i	$-0.347994\pi$
$227$	307.232	−	99.8258i	1.35345	−	0.439761i	0.893850	+	0.448367i	$0.147994\pi$
$228$	−53.9870	−	64.1623i	−0.236785	−	0.281414i
$229$	230.677	+	167.597i	1.00732	+	0.731864i	0.963646	−	0.267181i	$-0.0860922\pi$
$229$	230.677	+	167.597i	1.00732	+	0.731864i	0.0436787	+	0.999046i	$0.486092\pi$
$230$	−10.8995	−	19.6319i	−0.0473892	−	0.0853559i
$231$	−44.3342	+	14.4008i	−0.191923	+	0.0623410i
$232$	−5.62483	+	111.674i	−0.0242450	+	0.481353i
$233$	157.782	+	114.636i	0.677178	+	0.491999i	0.872420	−	0.488756i	$-0.162549\pi$
$233$	157.782	+	114.636i	0.677178	+	0.491999i	−0.195242	+	0.980755i	$0.562549\pi$
$234$	10.2896	+	52.7447i	0.0439728	+	0.225405i
$235$	−34.5545	+	11.2274i	−0.147040	+	0.0477763i
$236$	−320.092	+	22.8192i	−1.35632	+	0.0966916i
$237$	−66.8699	+	48.5838i	−0.282151	+	0.204995i
$238$	−41.0858	+	44.1190i	−0.172629	+	0.185374i
$239$	200.985	+	65.3040i	0.840941	+	0.273238i	0.697647	−	0.716442i	$-0.254230\pi$
$239$	200.985	+	65.3040i	0.840941	+	0.273238i	0.143294	+	0.989680i	$0.454230\pi$
$240$	−12.8874	−	2.23638i	−0.0536976	−	0.00931825i
$241$	328.286			1.36218			0.681092	−	0.732198i	$-0.261505\pi$
$241$	328.286			1.36218			0.681092	+	0.732198i	$0.261505\pi$
$242$	211.599	−	117.430i	0.874376	−	0.485249i
$243$		−	220.110i		−	0.905802i
$244$	288.145	−	116.873i	1.18092	−	0.478986i
$245$	−7.85123	+	24.1636i	−0.0320458	+	0.0986269i
$246$	−82.1933	+	88.2614i	−0.334119	+	0.358786i
$247$	−38.8170	−	53.4270i	−0.157154	−	0.216304i
$248$	372.744	−	243.142i	1.50300	−	0.980411i
$249$	−22.2994	−	68.6304i	−0.0895557	−	0.275624i
$250$	14.1654	+	72.6116i	0.0566615	+	0.290447i
$251$	−49.3072	+	67.8655i	−0.196443	+	0.270380i	−0.895863	−	0.444330i	$-0.853442\pi$
$251$	−49.3072	+	67.8655i	−0.196443	+	0.270380i	0.699420	+	0.714711i	$0.253442\pi$
$252$	102.785	+	64.0333i	0.407876	+	0.254100i
$253$	50.9949	+	156.993i	0.201561	+	0.620526i
$254$	86.2088	+	155.276i	0.339405	+	0.611324i
$255$	−3.73470	+	5.14038i	−0.0146459	+	0.0201583i
$256$	144.302	+	211.454i	0.563681	+	0.825992i
$257$	−50.0346	−	153.991i	−0.194687	−	0.599185i	−0.999980	−	0.00630817i	$-0.997992\pi$
$257$	−50.0346	−	153.991i	−0.194687	−	0.599185i	0.805293	−	0.592877i	$-0.202008\pi$
$258$	39.6959	−	85.2790i	0.153860	−	0.330539i
$259$	−83.6108	−	115.080i	−0.322822	−	0.444326i
$260$	−9.99866	−	2.47855i	−0.0384564	−	0.00953288i
$261$	33.7154	−	103.765i	0.129178	−	0.397569i
$262$	41.3654	−	338.793i	0.157883	−	1.29310i
$263$			399.263i			1.51811i	0.651027	+	0.759055i	$0.274339\pi$
$263$			399.263i			1.51811i	−0.651027	+	0.759055i	$0.725661\pi$
$264$	89.8339	+	34.2835i	0.340280	+	0.129862i
$265$	−69.1508			−0.260947
$266$	−147.721	−	18.0362i	−0.555341	−	0.0678051i
$267$	−48.5731	−	15.7824i	−0.181922	−	0.0591100i
$268$	−55.5680	+	224.166i	−0.207343	+	0.836439i
$269$	51.6076	−	37.4951i	0.191850	−	0.139387i	−0.487714	−	0.873003i	$-0.662169\pi$
$269$	51.6076	−	37.4951i	0.191850	−	0.139387i	0.679564	+	0.733617i	$0.262169\pi$
$270$	24.9114	+	11.5958i	0.0922646	+	0.0429475i
$271$	162.436	−	52.7786i	0.599394	−	0.194755i	0.00642369	−	0.999979i	$-0.497955\pi$
$271$	162.436	−	52.7786i	0.599394	−	0.194755i	0.592970	+	0.805225i	$0.297955\pi$
$272$	123.099	−	17.6410i	0.452570	−	0.0648566i
$273$	−11.8008	−	8.57375i	−0.0432262	−	0.0314057i
$274$	−155.920	+	86.5660i	−0.569050	+	0.315934i
$275$	0.0235469	−	268.842i	8.56253e−5	−	0.977609i
$276$	−34.6798	+	55.6671i	−0.125652	+	0.201693i
$277$	−261.885	−	190.270i	−0.945432	−	0.686897i	0.00428992	−	0.999991i	$-0.498634\pi$
$277$	−261.885	−	190.270i	−0.945432	−	0.686897i	−0.949722	+	0.313094i	$0.898634\pi$
$278$	−351.667	+	68.6047i	−1.26499	+	0.246780i
$279$	−412.995	+	134.190i	−1.48027	+	0.480969i
$280$	−19.4428	+	12.6826i	−0.0694385	+	0.0452950i
$281$	−309.396	+	224.789i	−1.10105	+	0.799961i	−0.981231	−	0.192834i	$-0.938232\pi$
$281$	−309.396	+	224.789i	−1.10105	+	0.799961i	−0.119821	+	0.992796i	$0.538232\pi$
$282$	77.6615	+	72.3221i	0.275395	+	0.256461i
$283$	−419.260	−	136.226i	−1.48148	−	0.481364i	−0.546928	−	0.837179i	$-0.684203\pi$
$283$	−419.260	−	136.226i	−1.48148	−	0.481364i	−0.934556	+	0.355816i	$0.884203\pi$
$284$	−147.776	−	364.335i	−0.520338	−	1.28287i
$285$	−15.6844			−0.0550329
$286$	68.6503	+	31.9628i	0.240036	+	0.111758i
$287$			214.044i			0.745797i
$288$	−82.1257	−	235.909i	−0.285159	−	0.819129i
$289$	−70.6387	+	217.404i	−0.244425	+	0.752261i
$290$	15.3056	+	14.2533i	0.0527779	+	0.0491493i
$291$	68.9124	+	94.8498i	0.236812	+	0.325944i
$292$	21.2827	+	298.538i	0.0728859	+	1.02239i
$293$	−161.544	−	497.182i	−0.551345	−	1.69687i	−0.705404	−	0.708805i	$-0.749235\pi$
$293$	−161.544	−	497.182i	−0.551345	−	1.69687i	0.154059	−	0.988062i	$-0.450765\pi$
$294$	72.8366	−	14.2093i	0.247744	−	0.0483308i
$295$	−35.2810	+	48.5601i	−0.119597	+	0.164611i
$296$	−14.7603	+	293.048i	−0.0498659	+	0.990026i
$297$	−163.408	−	118.744i	−0.550194	−	0.399813i
$298$	207.156	−	115.012i	0.695155	−	0.385947i
$299$	−30.3607	+	41.7880i	−0.101541	+	0.139759i
$300$	81.7347	−	68.7726i	0.272449	−	0.229242i
$301$	−51.5875	−	158.770i	−0.171387	−	0.527476i
$302$	−263.334	−	122.577i	−0.871966	−	0.405885i
$303$	−46.5233	−	64.0339i	−0.153542	−	0.211333i
$304$	213.839	+	220.238i	0.703417	+	0.724467i
$305$	17.9726	−	55.3141i	0.0589267	−	0.181358i
$306$	−120.448	−	14.7063i	−0.393621	−	0.0480597i
$307$			528.080i			1.72013i	0.510183	+	0.860066i	$0.329578\pi$
$307$			528.080i			1.72013i	−0.510183	+	0.860066i	$0.670422\pi$
$308$	158.140	−	64.1261i	0.513441	−	0.208202i
$309$	−22.9091			−0.0741394
$310$	10.0886	−	82.6280i	0.0325438	−	0.266542i
$311$	−303.245	−	98.5302i	−0.975064	−	0.316817i	−0.222205	−	0.975000i	$-0.571326\pi$
$311$	−303.245	−	98.5302i	−0.975064	−	0.316817i	−0.752859	+	0.658182i	$0.771326\pi$
$312$	7.84651	+	29.0471i	0.0251491	+	0.0930997i
$313$	260.815	−	189.493i	0.833274	−	0.605409i	−0.0872100	−	0.996190i	$-0.527795\pi$
$313$	260.815	−	189.493i	0.833274	−	0.605409i	0.920484	+	0.390781i	$0.127795\pi$
$314$	74.9175	−	160.946i	0.238591	−	0.512567i
$315$	21.5424	−	6.99953i	0.0683884	−	0.0222207i
$316$	231.531	−	194.814i	0.732694	−	0.616499i
$317$	293.298	+	213.093i	0.925230	+	0.672219i	0.944820	−	0.327589i	$-0.106236\pi$
$317$	293.298	+	213.093i	0.925230	+	0.672219i	−0.0195904	+	0.999808i	$0.506236\pi$
$318$	98.0404	+	176.587i	0.308303	+	0.555305i
$319$	−90.3589	−	124.391i	−0.283257	−	0.389941i
$320$	47.6412	+	4.81143i	0.148879	+	0.0150357i
$321$	−23.2082	−	16.8618i	−0.0722998	−	0.0525289i
$322$	22.2872	+	114.244i	0.0692149	+	0.354795i
$323$	141.819	−	46.0797i	0.439067	−	0.142662i
$324$	14.2760	+	200.253i	0.0440616	+	0.618065i
$325$	68.0593	−	49.4480i	0.209413	−	0.152148i
$326$	30.9767	−	33.2637i	0.0950207	−	0.102036i
$327$	82.4655	+	26.7947i	0.252188	+	0.0819409i
$328$	277.157	−	343.687i	0.844990	−	1.04783i
$329$	188.338			0.572455
$330$	15.7249	−	8.72860i	0.0476513	−	0.0264503i
$331$		−	88.0333i		−	0.265962i	−0.991119	−	0.132981i	$-0.957545\pi$
$331$		−	88.0333i		−	0.265962i	0.991119	−	0.132981i	$-0.0424549\pi$
$332$	99.2929	+	244.802i	0.299075	+	0.737356i
$333$	88.4739	−	272.295i	0.265688	−	0.817702i
$334$	−408.070	+	438.197i	−1.22177	+	1.31197i
$335$	25.3912	+	34.9480i	0.0757947	+	0.104322i
$336$	59.9524	+	31.6690i	0.178430	+	0.0942530i
$337$	−3.58012	−	11.0185i	−0.0106235	−	0.0326957i	0.945604	−	0.325319i	$-0.105472\pi$
$337$	−3.58012	−	11.0185i	−0.0106235	−	0.0326957i	−0.956228	+	0.292623i	$0.905472\pi$
$338$	−60.1812	−	308.488i	−0.178051	−	0.912688i
$339$	14.6099	−	20.1088i	0.0430971	−	0.0593181i
$340$	12.2993	−	19.7425i	0.0361745	−	0.0580663i
$341$	−189.145	+	581.956i	−0.554679	+	1.70662i
$342$	−145.394	−	261.878i	−0.425128	−	0.765726i
$343$	189.115	−	260.294i	0.551355	−	0.758875i
$344$	−122.752	+	321.734i	−0.356837	+	0.935273i
$345$	3.79088	+	11.6671i	0.0109881	+	0.0338178i
$346$	−39.7204	+	85.3316i	−0.114799	+	0.246623i
$347$	−15.5579	−	21.4136i	−0.0448355	−	0.0617108i	0.786011	−	0.618213i	$-0.212143\pi$
$347$	−15.5579	−	21.4136i	−0.0448355	−	0.0617108i	−0.830846	+	0.556502i	$0.812143\pi$
$348$	14.6981	−	59.2931i	0.0422358	−	0.170383i
$349$	−89.5402	+	275.576i	−0.256562	+	0.789617i	0.736956	+	0.675941i	$0.236263\pi$
$349$	−89.5402	+	275.576i	−0.256562	+	0.789617i	−0.993518	+	0.113676i	$0.963737\pi$
$350$	22.9758	−	188.177i	0.0656451	−	0.537650i
$351$		−	63.2083i		−	0.180081i
$352$	−336.957	−	101.803i	−0.957265	−	0.289212i
$353$	217.033			0.614825			0.307413	−	0.951576i	$-0.400537\pi$
$353$	217.033			0.614825			0.307413	+	0.951576i	$0.400537\pi$
$354$	174.026	+	21.2480i	0.491599	+	0.0600225i
$355$	−69.9402	−	22.7249i	−0.197015	−	0.0640139i
$356$	181.476	+	44.9856i	0.509763	+	0.126364i
$357$	26.6461	−	19.3595i	0.0746390	−	0.0542284i
$358$	165.459	+	77.0181i	0.462175	+	0.215134i
$359$	222.876	−	72.4169i	0.620825	−	0.201718i	0.0183184	−	0.999832i	$-0.494169\pi$
$359$	222.876	−	72.4169i	0.620825	−	0.201718i	0.602507	+	0.798114i	$0.294169\pi$
$360$	−43.6537	−	16.6553i	−0.121260	−	0.0462647i
$361$	5.73832	+	4.16913i	0.0158956	+	0.0115488i
$362$	34.9866	−	19.4244i	0.0966480	−	0.0536586i
$363$	−125.747	+	40.8334i	−0.346411	+	0.112489i
$364$	45.3229	+	28.2355i	0.124514	+	0.0775701i
$365$	45.2903	+	32.9053i	0.124083	+	0.0901516i
$366$	−166.734	+	32.5271i	−0.455557	+	0.0888720i
$367$	269.892	−	87.6932i	0.735400	−	0.238946i	0.0827128	−	0.996573i	$-0.473642\pi$
$367$	269.892	−	87.6932i	0.735400	−	0.238946i	0.652687	+	0.757627i	$0.273642\pi$
$368$	112.144	−	212.299i	0.304739	−	0.576900i
$369$	−348.537	+	253.227i	−0.944546	+	0.686253i
$370$	40.1640	+	37.4026i	0.108551	+	0.101088i
$371$	340.912	+	110.769i	0.918901	+	0.298569i
$372$	−225.306	+	91.3852i	−0.605662	+	0.245659i
$373$	377.208			1.01128			0.505640	−	0.862744i	$-0.331256\pi$
$373$	377.208			1.01128			0.505640	+	0.862744i	$0.331256\pi$
$374$	−116.541	+	125.123i	−0.311608	+	0.334554i
$375$		−	40.4175i		−	0.107780i
$376$	−302.411	−	243.871i	−0.804286	−	0.648593i
$377$	14.8668	−	45.7554i	0.0394346	−	0.121367i
$378$	−104.238	−	97.0716i	−0.275762	−	0.256803i
$379$	237.957	+	327.520i	0.627855	+	0.864168i	0.997895	−	0.0648476i	$-0.0206561\pi$
$379$	237.957	+	327.520i	0.627855	+	0.864168i	−0.370040	+	0.929016i	$0.620656\pi$
$380$	57.2723	−	4.08292i	0.150717	−	0.0107445i
$381$	−29.9836	−	92.2801i	−0.0786971	−	0.242205i
$382$	431.375	−	84.1544i	1.12925	−	0.220299i
$383$	106.026	−	145.932i	0.276830	−	0.381023i	−0.647851	−	0.761767i	$-0.724332\pi$
$383$	106.026	−	145.932i	0.276830	−	0.381023i	0.924681	+	0.380744i	$0.124332\pi$
$384$	−55.2579	−	128.481i	−0.143901	−	0.334585i
$385$	9.86607	−	30.3556i	0.0256262	−	0.0788457i
$386$	−157.044	+	87.1900i	−0.406849	+	0.225881i
$387$	197.501	−	271.837i	0.510340	−	0.702422i
$388$	−276.328	−	328.409i	−0.712186	−	0.846416i
$389$	65.7531	+	202.367i	0.169031	+	0.520224i	0.999311	−	0.0371228i	$-0.0118193\pi$
$389$	65.7531	+	202.367i	0.169031	+	0.520224i	−0.830280	+	0.557347i	$0.811819\pi$
$390$	5.10218	+	2.37498i	0.0130825	+	0.00608969i
$391$	−68.5545	−	94.3572i	−0.175331	−	0.241323i
$392$	−262.268	+	70.8465i	−0.669050	+	0.180731i
$393$	−57.6212	+	177.340i	−0.146619	+	0.451246i
$394$	−225.025	−	27.4747i	−0.571128	−	0.0697327i
$395$		−	56.5975i		−	0.143285i
$396$	291.509	+	181.641i	0.736133	+	0.458690i
$397$	−510.883			−1.28686			−0.643430	−	0.765505i	$-0.722489\pi$
$397$	−510.883			−1.28686			−0.643430	+	0.765505i	$0.722489\pi$
$398$	−31.0780	+	254.537i	−0.0780855	+	0.639539i
$399$	77.3237	+	25.1240i	0.193794	+	0.0629674i
$400$	−280.555	+	272.404i	−0.701389	+	0.681009i
$401$	22.1925	−	16.1238i	0.0553429	−	0.0402090i	−0.559770	−	0.828648i	$-0.689110\pi$
$401$	22.1925	−	16.1238i	0.0553429	−	0.0402090i	0.615113	+	0.788439i	$0.289110\pi$
$402$	53.2460	−	114.389i	0.132453	−	0.284549i
$403$	−182.110	+	59.1713i	−0.451887	+	0.146827i
$404$	186.551	+	221.712i	0.461761	+	0.548792i
$405$	30.3798	+	22.0722i	0.0750118	+	0.0544992i
$406$	−52.6247	−	94.7858i	−0.129617	−	0.233463i
$407$	−237.114	−	326.420i	−0.582590	−	0.802014i
$408$	−67.8532	−	3.41765i	−0.166307	−	0.00837661i
$409$	−107.946	−	78.4274i	−0.263927	−	0.191754i	0.447950	−	0.894059i	$-0.352154\pi$
$409$	−107.946	−	78.4274i	−0.263927	−	0.191754i	−0.711876	+	0.702305i	$0.752154\pi$
$410$	−15.8126	−	81.0556i	−0.0385674	−	0.197696i
$411$	92.6624	−	30.1078i	0.225456	−	0.0732551i
$412$	83.6536	−	5.96363i	0.203043	−	0.0144748i
$413$	251.721	−	182.886i	0.609493	−	0.442822i
$414$	−159.662	+	171.449i	−0.385656	+	0.414129i
$415$	46.9938	+	15.2692i	0.113238	+	0.0367933i
$416$	−36.2134	−	104.024i	−0.0870514	−	0.250058i
$417$	195.747			0.469417
$418$	−418.971	−	51.1920i	−1.00232	−	0.122469i
$419$			302.402i			0.721723i	0.932619	+	0.360861i	$0.117517\pi$
$419$			302.402i			0.721723i	−0.932619	+	0.360861i	$0.882483\pi$
$420$	11.7523	−	4.76677i	0.0279816	−	0.0113495i
$421$	−32.1608	+	98.9806i	−0.0763914	+	0.235108i	−0.981959	−	0.189093i	$-0.939445\pi$
$421$	−32.1608	+	98.9806i	−0.0763914	+	0.235108i	0.905568	+	0.424202i	$0.139445\pi$
$422$	392.432	−	421.404i	0.929933	−	0.998588i
$423$	222.815	+	306.679i	0.526750	+	0.725009i
$424$	−403.968	−	619.295i	−0.952755	−	1.46060i
$425$	58.6997	+	180.659i	0.138117	+	0.425081i
$426$	41.1279	+	210.822i	0.0965445	+	0.494886i
$427$	−177.210	+	243.908i	−0.415011	+	0.571213i
$428$	89.1354	+	55.5300i	0.208260	+	0.129743i
$429$	−33.4680	−	24.3204i	−0.0780139	−	0.0566909i
$430$	31.2648	+	56.3131i	0.0727088	+	0.130961i
$431$	−197.345	+	271.622i	−0.457876	+	0.630213i	−0.974067	−	0.226261i	$-0.927350\pi$
$431$	−197.345	+	271.622i	−0.457876	+	0.630213i	0.516190	+	0.856474i	$0.327350\pi$
$432$	41.6796	+	290.841i	0.0964806	+	0.673242i
$433$	−197.554	−	608.008i	−0.456244	−	1.40418i	−0.869668	−	0.493637i	$-0.835667\pi$
$433$	−197.554	−	608.008i	−0.456244	−	1.40418i	0.413424	−	0.910539i	$-0.364333\pi$
$434$	−182.094	+	391.194i	−0.419571	+	0.901369i
$435$	−6.71613	−	9.24396i	−0.0154394	−	0.0212505i
$436$	−308.102	−	76.3748i	−0.706656	−	0.175172i
$437$	88.9672	−	273.813i	0.203586	−	0.626574i
$438$	19.8172	−	162.308i	0.0452448	−	0.370566i
$439$		−	419.823i		−	0.956317i	−0.878273	−	0.478159i	$-0.841304\pi$
$439$		−	419.823i		−	0.956317i	0.878273	−	0.478159i	$-0.158696\pi$
$440$	−55.1481	+	35.9664i	−0.125337	+	0.0817418i
$441$	265.084			0.601097
$442$	−53.1117	−	6.48474i	−0.120162	−	0.0146714i
$443$	−238.218	−	77.4017i	−0.537738	−	0.174722i	0.0275424	−	0.999621i	$-0.491232\pi$
$443$	−238.218	−	77.4017i	−0.537738	−	0.174722i	−0.565280	+	0.824899i	$0.691232\pi$
$444$	38.5697	−	155.593i	0.0868688	−	0.350435i
$445$	28.2925	−	20.5557i	0.0635787	−	0.0461926i
$446$	278.939	+	129.841i	0.625424	+	0.291124i
$447$	−123.112	+	40.0015i	−0.275418	+	0.0894888i
$448$	−227.163	−	100.034i	−0.507061	−	0.223291i
$449$	−88.8032	−	64.5193i	−0.197780	−	0.143695i	0.484488	−	0.874798i	$-0.339006\pi$
$449$	−88.8032	−	64.5193i	−0.197780	−	0.143695i	−0.682268	+	0.731103i	$0.739006\pi$
$450$	333.600	−	185.213i	0.741333	−	0.411585i
$451$	−0.0531724	+	607.085i	−0.000117899	+	1.34609i
$452$	−48.1141	+	77.2316i	−0.106447	+	0.170866i
$453$	128.382	+	93.2749i	0.283404	+	0.205905i
$454$	634.132	−	123.709i	1.39677	−	0.272487i
$455$	9.49911	−	3.08645i	0.0208772	−	0.00678340i
$456$	−91.6256	−	140.465i	−0.200933	−	0.308037i
$457$	−258.376	+	187.721i	−0.565375	+	0.410769i	−0.833422	−	0.552637i	$-0.813622\pi$
$457$	−258.376	+	187.721i	−0.565375	+	0.410769i	0.268047	+	0.963406i	$0.413622\pi$
$458$	417.330	+	388.638i	0.911200	+	0.848554i
$459$	135.739	+	44.1042i	0.295727	+	0.0960877i
$460$	−16.8797	−	41.6162i	−0.0366951	−	0.0904701i
$461$	−635.144			−1.37775			−0.688876	−	0.724879i	$-0.741896\pi$
$461$	−635.144			−1.37775			−0.688876	+	0.724879i	$0.741896\pi$
$462$	−91.5055	+	17.8429i	−0.198064	+	0.0386211i
$463$		−	735.608i		−	1.58879i	−0.607404	−	0.794393i	$-0.707789\pi$
$463$		−	735.608i		−	1.58879i	0.607404	−	0.794393i	$-0.292211\pi$
$464$	−38.2357	+	220.338i	−0.0824045	+	0.474866i
$465$	−14.0532	+	43.2513i	−0.0302219	+	0.0930135i
$466$	285.452	+	265.827i	0.612558	+	0.570443i
$467$	−172.418	−	237.313i	−0.369204	−	0.508166i	0.583480	−	0.812127i	$-0.301691\pi$
$467$	−172.418	−	237.313i	−0.369204	−	0.508166i	−0.952684	+	0.303962i	$0.901691\pi$
$468$	7.64266	+	107.206i	0.0163305	+	0.229072i
$469$	−69.1969	−	212.966i	−0.147541	−	0.454085i
$470$	−71.3210	+	13.9136i	−0.151747	+	0.0296034i
$471$	−57.0083	+	78.4652i	−0.121037	+	0.166593i
$472$	−640.996	−	32.2859i	−1.35804	−	0.0684023i
$473$	−146.277	−	450.327i	−0.309253	−	0.952066i
$474$	−144.530	+	80.2426i	−0.304916	+	0.169288i
$475$	−275.615	+	379.351i	−0.580242	+	0.798634i
$476$	−92.2600	+	77.6287i	−0.193823	+	0.163086i
$477$	222.950	+	686.170i	0.467401	+	1.43851i
$478$	383.178	+	178.363i	0.801627	+	0.373143i
$479$	−59.1076	−	81.3546i	−0.123398	−	0.169843i	0.742849	−	0.669459i	$-0.233474\pi$
$479$	−59.1076	−	81.3546i	−0.123398	−	0.169843i	−0.866247	+	0.499617i	$0.833474\pi$
$480$	−25.0428	−	7.56361i	−0.0521724	−	0.0157575i
$481$	39.0126	−	120.069i	0.0811074	−	0.249623i
$482$	651.733	+	79.5742i	1.35214	+	0.165092i
$483$		−	63.5911i		−	0.131659i
$484$	448.543	−	181.839i	0.926741	−	0.375701i
$485$	−80.2792			−0.165524
$486$	53.3530	−	436.974i	0.109780	−	0.899124i
$487$	113.789	+	36.9723i	0.233653	+	0.0759186i	0.423503	−	0.905895i	$-0.360800\pi$
$487$	113.789	+	36.9723i	0.233653	+	0.0759186i	−0.189850	+	0.981813i	$0.560800\pi$
$488$	600.370	−	162.178i	1.23027	−	0.332332i
$489$	−20.0899	+	14.5962i	−0.0410837	+	0.0298490i
$490$	−21.4438	+	46.0679i	−0.0437628	+	0.0940160i
$491$	−265.485	+	86.2615i	−0.540704	+	0.175685i	−0.566621	−	0.823979i	$-0.691749\pi$
$491$	−265.485	+	86.2615i	−0.540704	+	0.175685i	0.0259170	+	0.999664i	$0.491749\pi$
$492$	−184.569	+	155.299i	−0.375140	+	0.315648i
$493$	87.8857	+	63.8527i	0.178267	+	0.129519i
$494$	−64.1114	−	115.475i	−0.129780	−	0.233756i
$495$	61.1016	−	19.8472i	0.123438	−	0.0400953i
$496$	798.928	−	392.349i	1.61074	−	0.791026i
$497$	308.402	+	224.067i	0.620527	+	0.450839i
$498$	−27.6345	−	141.654i	−0.0554909	−	0.284446i
$499$	−160.821	+	52.2540i	−0.322287	+	0.104717i	−0.465693	−	0.884947i	$-0.654195\pi$
$499$	−160.821	+	52.2540i	−0.322287	+	0.104717i	0.143405	+	0.989664i	$0.454195\pi$
$500$	10.5214	+	147.586i	0.0210427	+	0.295173i
$501$	264.653	−	192.282i	0.528250	−	0.383796i
$502$	−114.337	+	122.779i	−0.227764	+	0.244579i
$503$	−591.543	−	192.204i	−1.17603	−	0.382115i	−0.345139	−	0.938552i	$-0.612168\pi$
$503$	−591.543	−	192.204i	−1.17603	−	0.382115i	−0.830890	+	0.556436i	$0.812168\pi$
$504$	188.533	+	152.037i	0.374073	+	0.301660i
$505$	54.1971			0.107321
$506$	63.1841	+	324.032i	0.124870	+	0.640380i
$507$			171.712i			0.338683i
$508$	133.509	+	329.160i	0.262812	+	0.647953i
$509$	97.9151	−	301.352i	0.192367	−	0.592046i	−0.807630	−	0.589690i	$-0.799250\pi$
$509$	97.9151	−	301.352i	0.192367	−	0.592046i	0.999997	−	0.00235633i	$-0.000750043\pi$
$510$	−8.66033	+	9.29970i	−0.0169810	+	0.0182347i
$511$	−170.571	−	234.771i	−0.333798	−	0.459434i
$512$	235.223	+	454.768i	0.459419	+	0.888220i
$513$	108.871	+	335.069i	0.212223	+	0.653156i
$514$	−62.0053	−	317.839i	−0.120633	−	0.618364i
$515$	9.22042	−	12.6908i	0.0179037	−	0.0246424i
$516$	99.4775	−	159.679i	0.192786	−	0.309455i
$517$	534.176	+	0.0467866i	1.03322	+	9.04962e-5i
$518$	−138.094	−	248.731i	−0.266591	−	0.480176i
$519$	30.2251	−	41.6013i	0.0582372	−	0.0801566i
$520$	−19.2491	−	7.34416i	−0.0370175	−	0.0141234i
$521$	−108.271	−	333.223i	−0.207814	−	0.639584i	−0.999586	−	0.0287683i	$-0.990842\pi$
$521$	−108.271	−	333.223i	−0.207814	−	0.639584i	0.791773	−	0.610816i	$-0.209158\pi$
$522$	92.0858	−	197.829i	0.176410	−	0.378982i
$523$	397.190	+	546.685i	0.759445	+	1.04529i	0.997260	+	0.0739759i	$0.0235688\pi$
$523$	397.190	+	546.685i	0.759445	+	1.04529i	−0.237815	+	0.971310i	$0.576431\pi$
$524$	164.242	−	662.565i	0.313439	−	1.26444i
$525$	−32.0048	+	98.5007i	−0.0609615	+	0.187620i
$526$	−96.7784	+	792.640i	−0.183989	+	1.50692i
$527$		−	432.367i		−	0.820431i
$528$	170.033	+	89.8367i	0.322033	+	0.170145i
$529$	303.816			0.574321
$530$	−137.282	−	16.7617i	−0.259023	−	0.0316258i
$531$	595.602	+	193.523i	1.12166	+	0.364450i
$532$	−288.892	−	71.6128i	−0.543029	−	0.134611i
$533$	−153.688	+	111.661i	−0.288345	+	0.209495i
$534$	−92.6046	−	43.1058i	−0.173417	−	0.0807225i
$535$	18.6816	−	6.07003i	0.0349190	−	0.0113459i
$536$	−164.653	+	431.557i	−0.307188	+	0.805144i
$537$	−80.6652	−	58.6067i	−0.150215	−	0.109137i
$538$	111.543	−	61.9281i	0.207329	−	0.115108i
$539$	219.590	−	302.184i	0.407402	−	0.560638i
$540$	46.6449	+	29.0591i	0.0863794	+	0.0538131i
$541$	−307.422	−	223.355i	−0.568247	−	0.412856i	0.266221	−	0.963912i	$-0.414225\pi$
$541$	−307.422	−	223.355i	−0.568247	−	0.412856i	−0.834468	+	0.551056i	$0.814225\pi$
$542$	335.270	−	65.4058i	0.618579	−	0.120675i
$543$	−20.7924	+	6.75585i	−0.0382917	+	0.0124417i
$544$	248.659	−	5.18365i	0.457094	−	0.00952877i
$545$	−48.0339	+	34.8987i	−0.0881357	+	0.0640343i
$546$	−21.3493	−	19.8815i	−0.0391013	−	0.0364130i
$547$	−222.878	−	72.4175i	−0.407455	−	0.132390i	0.0981162	−	0.995175i	$-0.468718\pi$
$547$	−222.878	−	72.4175i	−0.407455	−	0.132390i	−0.505571	+	0.862785i	$0.668718\pi$
$548$	−330.524	+	134.062i	−0.603146	+	0.244639i
$549$	−606.817			−1.10531
$550$	65.2122	−	533.716i	0.118568	−	0.970392i
$551$			268.158i			0.486675i
$552$	−82.3417	+	102.107i	−0.149170	+	0.184977i
$553$	−90.6606	+	279.025i	−0.163943	+	0.504566i
$554$	−473.788	−	441.215i	−0.855214	−	0.796416i
$555$	−17.6240	−	24.2574i	−0.0317550	−	0.0437071i
$556$	−714.780	+	50.9564i	−1.28557	+	0.0916481i
$557$	−15.6464	−	48.1548i	−0.0280906	−	0.0864539i	0.936028	−	0.351925i	$-0.114473\pi$
$557$	−15.6464	−	48.1548i	−0.0280906	−	0.0864539i	−0.964119	+	0.265471i	$0.914473\pi$
$558$	−852.428	+	166.295i	−1.52765	+	0.298020i
$559$	87.0884	−	119.867i	0.155793	−	0.214431i
$560$	−41.6731	+	20.4654i	−0.0744163	+	0.0365454i
$561$	75.5803	−	54.9022i	0.134724	−	0.0978649i
$562$	−668.717	+	371.269i	−1.18989	+	0.660621i
$563$	−306.745	+	422.198i	−0.544840	+	0.749908i	−0.989301	−	0.145890i	$-0.953395\pi$
$563$	−306.745	+	422.198i	−0.544840	+	0.749908i	0.444460	+	0.895798i	$0.353395\pi$
$564$	136.648	+	162.403i	0.242283	+	0.287948i
$565$	5.25940	+	16.1868i	0.00930866	+	0.0286491i
$566$	−799.319	−	372.069i	−1.41222	−	0.657366i
$567$	−114.415	−	157.479i	−0.201791	−	0.277741i
$568$	−205.061	−	759.119i	−0.361023	−	1.33648i
$569$	87.5395	−	269.419i	0.153848	−	0.473495i	−0.844194	−	0.536037i	$-0.819921\pi$
$569$	87.5395	−	269.419i	0.153848	−	0.473495i	0.998042	+	0.0625419i	$0.0199207\pi$
$570$	−31.1375	−	3.80178i	−0.0546272	−	0.00666979i
$571$			187.846i			0.328977i	0.986379	+	0.164488i	$0.0525973\pi$
$571$			187.846i			0.328977i	−0.986379	+	0.164488i	$0.947403\pi$
$572$	128.541	+	80.0948i	0.224722	+	0.140026i
$573$	−240.114			−0.419047
$574$	−51.8826	+	424.932i	−0.0903879	+	0.740299i
$575$	348.803	+	113.333i	0.606614	+	0.197101i
$576$	−105.858	−	488.247i	−0.183781	−	0.847651i
$577$	−762.773	+	554.187i	−1.32196	+	0.960463i	−0.322058	+	0.946720i	$0.604374\pi$
$577$	−762.773	+	554.187i	−1.32196	+	0.960463i	−0.999906	+	0.0137424i	$0.995626\pi$
$578$	−192.933	+	414.480i	−0.333794	+	0.717093i
$579$	93.3304	−	30.3249i	0.161192	−	0.0523746i
$580$	26.9306	+	32.0065i	0.0464322	+	0.0551835i
$581$	−207.220	−	150.554i	−0.356661	−	0.259129i
$582$	113.818	+	205.005i	0.195563	+	0.352242i
$583$	966.891	+	314.256i	1.65848	+	0.539032i
$584$	−30.1119	+	597.834i	−0.0515615	+	1.02369i
$585$	16.2639	+	11.8164i	0.0278015	+	0.0201989i
$586$	−200.194	−	1026.19i	−0.341627	−	1.75118i
$587$	−29.3693	+	9.54266i	−0.0500329	+	0.0162567i	−0.333927	−	0.942599i	$-0.608374\pi$
$587$	−29.3693	+	9.54266i	−0.0500329	+	0.0162567i	0.283894	+	0.958856i	$0.408374\pi$
$588$	148.044	−	10.5540i	0.251775	−	0.0179489i
$589$	863.456	−	627.337i	1.46597	−	1.06509i
$590$	−81.8124	+	87.8524i	−0.138665	+	0.148902i
$591$	117.788	+	38.2717i	0.199303	+	0.0647575i
$592$	−100.336	+	578.197i	−0.169486	+	0.976684i
$593$	−313.027			−0.527870			−0.263935	−	0.964540i	$-0.585020\pi$
$593$	−313.027			−0.527870			−0.263935	+	0.964540i	$0.585020\pi$
$594$	−295.623	−	275.347i	−0.497682	−	0.463547i
$595$			22.5528i			0.0379039i
$596$	439.136	−	178.116i	0.736806	−	0.298852i
$597$	43.2910	−	133.236i	0.0725143	−	0.223176i
$598$	−70.4030	+	75.6006i	−0.117731	+	0.126422i
$599$	−533.190	−	733.872i	−0.890133	−	1.22516i	−0.973510	−	0.228645i	$-0.926571\pi$
$599$	−533.190	−	733.872i	−0.890133	−	1.22516i	0.0833771	−	0.996518i	$-0.473429\pi$
$600$	178.934	−	116.719i	0.298224	−	0.194532i
$601$	320.006	+	984.877i	0.532456	+	1.63873i	0.749083	+	0.662477i	$0.230495\pi$
$601$	320.006	+	984.877i	0.532456	+	1.63873i	−0.216627	+	0.976255i	$0.569505\pi$
$602$	−63.9298	−	327.704i	−0.106196	−	0.544359i
$603$	264.918	−	364.629i	0.439334	−	0.604691i
$604$	−493.074	−	307.178i	−0.816347	−	0.508572i
$605$	27.9904	−	86.0941i	0.0462650	−	0.142304i
$606$	−76.8394	−	138.401i	−0.126798	−	0.228384i
$607$	290.604	−	399.983i	0.478755	−	0.658950i	−0.499510	−	0.866308i	$-0.666487\pi$
$607$	290.604	−	399.983i	0.478755	−	0.658950i	0.978265	+	0.207358i	$0.0664866\pi$
$608$	371.141	+	489.062i	0.610429	+	0.804378i
$609$	18.3030	+	56.3308i	0.0300542	+	0.0924972i
$610$	49.0880	−	105.456i	0.0804722	−	0.172879i
$611$	98.2505	+	135.230i	0.160803	+	0.221326i
$612$	−235.556	−	58.3915i	−0.384895	−	0.0954109i
$613$	−252.174	+	776.112i	−0.411377	+	1.26609i	0.504075	+	0.863660i	$0.331834\pi$
$613$	−252.174	+	776.112i	−0.411377	+	1.26609i	−0.915452	+	0.402428i	$0.868166\pi$
$614$	−128.003	+	1048.38i	−0.208474	+	1.70745i
$615$			45.1176i			0.0733619i
$616$	329.492	−	88.9748i	0.534889	−	0.144440i
$617$	965.796			1.56531			0.782654	−	0.622457i	$-0.213865\pi$
$617$	965.796			1.56531			0.782654	+	0.622457i	$0.213865\pi$
$618$	−45.4804	−	5.55299i	−0.0735928	−	0.00898542i
$619$	1.84967	+	0.600994i	0.00298816	+	0.000970911i	0.310511	−	0.950570i	$-0.399500\pi$
$619$	1.84967	+	0.600994i	0.00298816	+	0.000970911i	−0.307523	+	0.951541i	$0.599500\pi$
$620$	40.0568	−	161.592i	0.0646078	−	0.260633i
$621$	222.934	−	161.971i	0.358992	−	0.260823i
$622$	−578.136	−	269.112i	−0.929479	−	0.432656i
$623$	−172.409	+	56.0190i	−0.276740	+	0.0899182i
$624$	8.53653	+	59.5679i	0.0136803	+	0.0954614i
$625$	−471.924	−	342.873i	−0.755079	−	0.548597i
$626$	563.716	−	312.973i	0.900504	−	0.499956i
$627$	219.304	+	71.2776i	0.349768	+	0.113680i
$628$	187.743	−	301.360i	0.298953	−	0.479872i
$629$	230.624	+	167.558i	0.366652	+	0.266388i
$630$	44.4637	−	8.67417i	0.0705774	−	0.0137685i
$631$	408.093	−	132.598i	0.646740	−	0.210139i	0.0327641	−	0.999463i	$-0.489569\pi$
$631$	408.093	−	132.598i	0.646740	−	0.210139i	0.613976	+	0.789324i	$0.289569\pi$
$632$	506.871	−	330.633i	0.802011	−	0.523154i
$633$	−254.511	+	184.913i	−0.402071	+	0.292122i
$634$	530.619	+	494.138i	0.836939	+	0.779398i
$635$	63.1877	+	20.5309i	0.0995081	+	0.0323322i
$636$	151.832	+	374.335i	0.238729	+	0.588577i
$637$	116.889			0.183499
$638$	−149.234	−	268.851i	−0.233909	−	0.421396i
$639$			767.271i			1.20074i
$640$	93.4138	+	21.0998i	0.145959	+	0.0329684i
$641$	−86.8750	+	267.374i	−0.135530	+	0.417120i	−0.995672	−	0.0929354i	$-0.970375\pi$
$641$	−86.8750	+	267.374i	−0.135530	+	0.417120i	0.860142	+	0.510055i	$0.170375\pi$
$642$	−41.9871	−	39.1004i	−0.0654005	−	0.0609041i
$643$	−367.425	−	505.717i	−0.571422	−	0.786495i	0.421300	−	0.906921i	$-0.361574\pi$
$643$	−367.425	−	505.717i	−0.571422	−	0.786495i	−0.992722	+	0.120426i	$0.961574\pi$
$644$	16.5539	+	232.206i	0.0257048	+	0.360569i
$645$	−10.8740	−	33.4666i	−0.0168589	−	0.0518862i
$646$	292.716	−	57.1042i	0.453121	−	0.0883967i
$647$	4.40525	−	6.06331i	0.00680874	−	0.00937142i	−0.805599	−	0.592461i	$-0.798156\pi$
$647$	4.40525	−	6.06331i	0.00680874	−	0.00937142i	0.812408	+	0.583090i	$0.198156\pi$
$648$	−20.1984	+	401.014i	−0.0311704	+	0.618849i
$649$	713.992	−	518.650i	1.10014	−	0.799153i
$650$	147.101	−	81.6699i	0.226309	−	0.125646i
$651$	138.564	−	190.717i	0.212848	−	0.292960i
$652$	69.5597	−	58.5284i	0.106687	−	0.0897675i
$653$	338.138	+	1040.68i	0.517823	+	1.59369i	0.778087	+	0.628157i	$0.216190\pi$
$653$	338.138	+	1040.68i	0.517823	+	1.59369i	−0.260264	+	0.965538i	$0.583810\pi$
$654$	157.220	+	73.1834i	0.240398	+	0.111901i
$655$	−75.0487	−	103.296i	−0.114578	−	0.157703i
$656$	633.535	−	615.127i	0.965754	−	0.937693i
$657$	180.492	−	555.497i	0.274721	−	0.845506i
$658$	373.899	+	45.6517i	0.568235	+	0.0693795i
$659$		−	690.561i		−	1.04789i	−0.851752	−	0.523946i	$-0.824459\pi$
$659$		−	690.561i		−	1.04789i	0.851752	−	0.523946i	$-0.175541\pi$
$660$	33.3338	−	13.5169i	0.0505057	−	0.0204802i
$661$	−981.006			−1.48412			−0.742062	−	0.670331i	$-0.766152\pi$
$661$	−981.006			−1.48412			−0.742062	+	0.670331i	$0.766152\pi$
$662$	21.3386	−	174.769i	0.0322336	−	0.264001i
$663$	27.8011	+	9.03312i	0.0419322	+	0.0136246i
$664$	137.784	+	510.063i	0.207506	+	0.768168i
$665$	−45.0390	+	32.7227i	−0.0677278	+	0.0492071i
$666$	241.646	−	519.130i	0.362832	−	0.779474i
$667$	199.474	−	64.8132i	0.299062	−	0.0971711i
$668$	−916.340	+	771.020i	−1.37177	+	1.15422i
$669$	−135.990	−	98.8024i	−0.203273	−	0.147687i
$670$	41.9370	+	75.5355i	0.0625925	+	0.112739i
$671$	−502.674	+	691.744i	−0.749142	+	1.03092i
$672$	111.345	+	77.4032i	0.165691	+	0.115183i
$673$	173.221	+	125.852i	0.257386	+	0.187002i	0.708994	−	0.705214i	$-0.249149\pi$
$673$	173.221	+	125.852i	0.257386	+	0.187002i	−0.451608	+	0.892217i	$0.649149\pi$
$674$	−4.43666	−	22.7423i	−0.00658258	−	0.0337423i
$675$	−426.836	+	138.687i	−0.632349	+	0.205463i
$676$	−44.6997	−	627.016i	−0.0661239	−	0.927539i
$677$	909.036	−	660.454i	1.34274	−	0.975559i	0.343404	−	0.939188i	$-0.388420\pi$
$677$	909.036	−	660.454i	1.34274	−	0.975559i	0.999338	−	0.0363712i	$-0.0115799\pi$
$678$	33.8787	−	36.3798i	0.0499685	−	0.0536576i
$679$	395.775	+	128.595i	0.582879	+	0.189389i
$680$	29.2028	−	36.2128i	0.0429452	−	0.0532541i
$681$	−352.974			−0.518317
$682$	−516.564	+	1109.49i	−0.757426	+	1.62681i
$683$		−	87.6213i		−	0.128289i	−0.997941	−	0.0641445i	$-0.979568\pi$
$683$		−	87.6213i		−	0.128289i	0.997941	−	0.0641445i	$-0.0204318\pi$
$684$	−225.166	−	555.138i	−0.329191	−	0.811605i
$685$	−20.6160	+	63.4495i	−0.0300963	+	0.0926270i
$686$	438.535	−	470.910i	0.639263	−	0.686458i
$687$	−183.125	−	252.050i	−0.266558	−	0.366885i
$688$	−321.680	+	608.970i	−0.467558	+	0.885131i
$689$	98.3100	+	302.567i	0.142685	+	0.439140i
$690$	4.69784	+	24.0811i	0.00680847	+	0.0349002i
$691$	−316.481	+	435.598i	−0.458004	+	0.630388i	−0.974093	−	0.226147i	$-0.927387\pi$
$691$	−316.481	+	435.598i	−0.458004	+	0.630388i	0.516090	+	0.856535i	$0.327387\pi$
$692$	−99.5389	+	159.777i	−0.143842	+	0.230892i
$693$	−333.022	−	0.0291682i	−0.480551	−	4.20898e-5i
$694$	−25.6960	−	46.2827i	−0.0370259	−	0.0666898i
$695$	−78.7840	+	108.437i	−0.113358	+	0.156024i
$696$	43.5517	−	114.149i	0.0625742	−	0.164008i
$697$	−132.553	−	407.955i	−0.190176	−	0.585301i
$698$	−244.558	+	525.386i	−0.350370	+	0.752702i
$699$	−125.257	−	172.401i	−0.179195	−	0.246640i
$700$	91.2257	−	368.011i	0.130322	−	0.525731i
$701$	253.827	−	781.200i	0.362093	−	1.11441i	−0.589688	−	0.807631i	$-0.700749\pi$
$701$	253.827	−	781.200i	0.362093	−	1.11441i	0.951781	−	0.306777i	$-0.0992506\pi$
$702$	15.3212	−	125.485i	0.0218251	−	0.178753i
$703$			703.683i			1.00097i
$704$	−644.271	−	283.780i	−0.915157	−	0.403097i
$705$	39.6991			0.0563107
$706$	430.867	+	52.6073i	0.610293	+	0.0745146i
$707$	−267.191	−	86.8156i	−0.377922	−	0.122794i
$708$	340.336	+	84.3653i	0.480701	+	0.119160i
$709$	−574.514	+	417.409i	−0.810315	+	0.588729i	−0.913922	−	0.405890i	$-0.866962\pi$
$709$	−574.514	+	417.409i	−0.810315	+	0.588729i	0.103607	+	0.994618i	$0.466962\pi$
$710$	−133.341	−	62.0678i	−0.187804	−	0.0874195i
$711$	−561.606	+	182.477i	−0.789882	+	0.256648i
$712$	349.371	+	133.296i	0.490690	+	0.187214i
$713$	−675.352	−	490.672i	−0.947198	−	0.688180i
$714$	57.5920	−	31.9748i	0.0806611	−	0.0447827i
$715$	26.9428	−	8.75163i	0.0376822	−	0.0122400i
$716$	309.809	+	193.007i	0.432695	+	0.269562i
$717$	−186.809	−	135.724i	−0.260542	−	0.189295i
$718$	460.020	−	89.7425i	0.640696	−	0.124990i
$719$	−878.206	+	285.347i	−1.22143	+	0.396866i	−0.847602	−	0.530633i	$-0.821954\pi$
$719$	−878.206	+	285.347i	−1.22143	+	0.396866i	−0.373826	+	0.927499i	$0.621954\pi$
$720$	−82.6267	−	43.6464i	−0.114759	−	0.0606199i
$721$	−65.7852	+	47.7958i	−0.0912417	+	0.0662909i
$722$	10.3815	+	9.66772i	0.0143788	+	0.0133902i
$723$	−341.147	−	110.845i	−0.471849	−	0.153313i
$724$	74.1657	−	30.0819i	0.102439	−	0.0415497i
$725$	−341.599			−0.471172
$726$	−259.538	+	50.5846i	−0.357491	+	0.0696758i
$727$		−	824.285i		−	1.13382i	−0.823781	−	0.566909i	$-0.808139\pi$
$727$		−	824.285i		−	1.13382i	0.823781	−	0.566909i	$-0.191861\pi$
$728$	83.1336	+	67.0407i	0.114195	+	0.0920889i
$729$	65.2674	−	200.872i	0.0895300	−	0.275545i
$730$	81.9369	+	76.3036i	0.112242	+	0.104525i
$731$	196.646	+	270.659i	0.269009	+	0.370259i
$732$	−338.894	+	24.1596i	−0.462970	+	0.0330050i
$733$	−0.267616	−	0.823639i	−0.000365098	−	0.00112365i	0.950874	−	0.309579i	$-0.100188\pi$
$733$	−0.267616	−	0.823639i	−0.000365098	−	0.00112365i	−0.951239	+	0.308455i	$0.900188\pi$
$734$	557.061	−	108.674i	0.758938	−	0.148057i
$735$	16.3176	−	22.4592i	0.0222008	−	0.0305568i
$736$	274.094	−	394.285i	0.372411	−	0.535714i
$737$	−196.208	−	604.046i	−0.266225	−	0.819601i
$738$	−753.317	+	418.238i	−1.02075	+	0.566718i
$739$	−247.106	+	340.112i	−0.334378	+	0.460232i	−0.942789	−	0.333390i	$-0.891807\pi$
$739$	−247.106	+	340.112i	−0.334378	+	0.460232i	0.608411	+	0.793622i	$0.291807\pi$
$740$	70.6697	+	83.9893i	0.0954996	+	0.113499i
$741$	22.2981	+	68.6265i	0.0300919	+	0.0926133i
$742$	649.949	+	302.540i	0.875942	+	0.407736i
$743$	814.385	+	1120.90i	1.09608	+	1.50862i	0.840485	+	0.541835i	$0.182270\pi$
$743$	814.385	+	1120.90i	1.09608	+	1.50862i	0.255591	+	0.966785i	$0.417730\pi$
$744$	−469.442	+	126.811i	−0.630970	+	0.170444i
$745$	27.3905	−	84.2994i	0.0367658	−	0.113154i
$746$	748.854	+	91.4324i	1.00383	+	0.122563i
$747$		−	515.540i		−	0.690148i
$748$	−261.693	+	220.153i	−0.349857	+	0.294322i
$749$	−101.823			−0.135946
$750$	9.79690	−	80.2391i	0.0130625	−	0.106985i
$751$	−1243.83	−	404.146i	−1.65624	−	0.538144i	−0.676159	−	0.736756i	$-0.736357\pi$
$751$	−1243.83	−	404.146i	−1.65624	−	0.538144i	−0.980078	+	0.198612i	$0.936357\pi$
$752$	−541.252	−	557.449i	−0.719750	−	0.741289i
$753$	74.1534	−	53.8756i	0.0984773	−	0.0715479i
$754$	40.6053	−	87.2327i	0.0538532	−	0.115693i
$755$	−103.342	+	33.5778i	−0.136877	+	0.0444740i
$756$	−183.410	−	217.979i	−0.242606	−	0.288332i
$757$	27.1049	+	19.6929i	0.0358057	+	0.0260143i	0.605544	−	0.795812i	$-0.292956\pi$
$757$	27.1049	+	19.6929i	0.0358057	+	0.0260143i	−0.569738	+	0.821826i	$0.692956\pi$
$758$	393.017	+	707.890i	0.518493	+	0.933892i
$759$	0.0157972	−	180.361i	2.08132e−5	−	0.237630i
$760$	114.690	+	5.77674i	0.150908	+	0.00760097i
$761$	−53.4377	−	38.8247i	−0.0702203	−	0.0510181i	0.552121	−	0.833764i	$-0.313819\pi$
$761$	−53.4377	−	38.8247i	−0.0702203	−	0.0510181i	−0.622342	+	0.782746i	$0.713819\pi$
$762$	−37.1572	−	190.467i	−0.0487627	−	0.249957i
$763$	292.709	−	95.1069i	0.383629	−	0.124649i
$764$	876.788	−	62.5059i	1.14763	−	0.0818140i
$765$	−36.7238	+	26.6814i	−0.0480050	+	0.0348776i
$766$	245.861	−	264.013i	0.320968	−	0.344664i
$767$	262.631	+	85.3341i	0.342414	+	0.111257i
$768$	−78.5583	−	268.461i	−0.102290	−	0.349559i
$769$	1115.14			1.45012			0.725062	−	0.688684i	$-0.241811\pi$
$769$	1115.14			1.45012			0.725062	+	0.688684i	$0.241811\pi$
$770$	26.9447	−	57.8722i	0.0349931	−	0.0751587i
$771$			176.917i			0.229465i
$772$	−332.907	+	135.028i	−0.431226	+	0.174907i
$773$	−52.6568	+	162.061i	−0.0681200	+	0.209652i	−0.979322	−	0.202308i	$-0.935156\pi$
$773$	−52.6568	+	162.061i	−0.0681200	+	0.209652i	0.911202	+	0.411960i	$0.135156\pi$
$774$	457.983	−	491.794i	0.591709	−	0.635393i
$775$	799.149	+	1099.93i	1.03116	+	1.41927i
$776$	−468.978	−	718.957i	−0.604353	−	0.926491i
$777$	48.0295	+	147.820i	0.0618141	+	0.190244i
$778$	81.4845	+	417.689i	0.104736	+	0.536875i
$779$	622.378	−	856.630i	0.798945	−	1.09965i
$780$	9.55347	+	5.95167i	0.0122480	+	0.00763035i
$781$	874.655	+	635.591i	1.11992	+	0.813817i
$782$	−113.227	−	203.940i	−0.144791	−	0.260793i
$783$	−150.862	+	207.644i	−0.192672	+	0.265190i
$784$	−537.841	+	77.0767i	−0.686022	+	0.0983121i
$785$	−20.5223	−	63.1611i	−0.0261431	−	0.0804601i
$786$	−157.379	+	338.098i	−0.200227	+	0.430150i
$787$	−306.107	−	421.320i	−0.388954	−	0.535350i	0.568975	−	0.822355i	$-0.307340\pi$
$787$	−306.107	−	421.320i	−0.388954	−	0.535350i	−0.957929	+	0.287005i	$0.907340\pi$
$788$	−440.072	−	109.089i	−0.558467	−	0.138437i
$789$	134.810	−	414.904i	0.170862	−	0.525860i
$790$	13.7188	−	112.361i	0.0173656	−	0.142229i
$791$		−	88.2252i		−	0.111536i
$792$	534.691	+	431.264i	0.675115	+	0.544525i
$793$	−267.576			−0.337423
$794$	−1014.23	−	123.834i	−1.27737	−	0.155963i
$795$	71.8598	+	23.3487i	0.0903897	+	0.0293694i
$796$	−123.396	+	497.788i	−0.155020	+	0.625361i
$797$	−332.100	+	241.285i	−0.416688	+	0.302742i	−0.776304	−	0.630359i	$-0.782908\pi$
$797$	−332.100	+	241.285i	−0.416688	+	0.302742i	0.359616	+	0.933100i	$0.382908\pi$
$798$	147.418	+	68.6203i	0.184734	+	0.0859904i
$799$	−358.960	+	116.633i	−0.449262	+	0.145974i
$800$	−623.003	+	472.787i	−0.778754	+	0.590983i
$801$	−295.189	−	214.467i	−0.368525	−	0.267749i
$802$	47.9662	−	26.6306i	0.0598082	−	0.0332052i
$803$	−483.727	−	665.915i	−0.602399	−	0.829284i
$804$	133.434	−	214.185i	0.165963	−	0.266399i
$805$	35.2272	+	25.5941i	0.0437606	+	0.0317939i
$806$	−375.879	+	73.3279i	−0.466351	+	0.0909776i
$807$	−66.2894	+	21.5387i	−0.0821430	+	0.0266899i
$808$	316.611	+	485.374i	0.391845	+	0.600710i
$809$	−1064.09	+	773.105i	−1.31531	+	0.955630i	−0.315334	+	0.948981i	$0.602117\pi$
$809$	−1064.09	+	773.105i	−1.31531	+	0.955630i	−0.999978	+	0.00664931i	$0.997883\pi$
$810$	54.9615	+	51.1828i	0.0678537	+	0.0631887i
$811$	967.742	+	314.438i	1.19327	+	0.387717i	0.837281	−	0.546773i	$-0.184144\pi$
$811$	967.742	+	314.438i	1.19327	+	0.387717i	0.355989	+	0.934490i	$0.384144\pi$
$812$	−81.4981	−	200.930i	−0.100367	−	0.247451i
$813$	−186.620			−0.229544
$814$	−391.611	−	705.502i	−0.481094	−	0.866710i
$815$		−	17.0038i		−	0.0208635i
$816$	−133.878	−	23.2321i	−0.164066	−	0.0284707i
$817$	−255.198	+	785.420i	−0.312360	+	0.961347i
$818$	−195.290	−	181.864i	−0.238741	−	0.222328i
$819$	−61.2525	−	84.3068i	−0.0747893	−	0.102939i
$820$	−11.7449	−	164.749i	−0.0143230	−	0.200913i
$821$	1.01822	+	3.13376i	0.00124022	+	0.00381700i	0.951675	−	0.307108i	$-0.0993612\pi$
$821$	1.01822	+	3.13376i	0.00124022	+	0.00381700i	−0.950434	+	0.310925i	$0.899361\pi$
$822$	191.257	−	37.3111i	0.232672	−	0.0453907i
$823$	686.883	−	945.413i	0.834608	−	1.14874i	−0.152440	−	0.988313i	$-0.548713\pi$
$823$	686.883	−	945.413i	0.834608	−	1.14874i	0.987048	−	0.160427i	$-0.0512870\pi$
$824$	167.519	+	8.43767i	0.203300	+	0.0102399i
$825$	−90.7987	+	279.366i	−0.110059	+	0.338626i
$826$	544.060	−	302.060i	0.658668	−	0.365690i
$827$	629.832	−	866.889i	0.761586	−	1.04823i	−0.235494	−	0.971876i	$-0.575671\pi$
$827$	629.832	−	866.889i	0.761586	−	1.04823i	0.997080	−	0.0763576i	$-0.0243291\pi$
$828$	−358.528	+	301.670i	−0.433004	+	0.364336i
$829$	74.0327	+	227.849i	0.0893036	+	0.274848i	0.985727	−	0.168350i	$-0.0538438\pi$
$829$	74.0327	+	227.849i	0.0893036	+	0.274848i	−0.896424	+	0.443198i	$0.853844\pi$
$830$	89.5937	+	41.7043i	0.107944	+	0.0502461i
$831$	207.899	+	286.149i	0.250180	+	0.344343i
$832$	−46.6781	−	215.293i	−0.0561035	−	0.258765i
$833$	−81.5604	+	251.017i	−0.0979117	+	0.301341i
$834$	388.608	+	47.4476i	0.465957	+	0.0568916i
$835$			223.998i			0.268261i
$836$	−819.356	−	203.185i	−0.980091	−	0.243044i
$837$	1021.53			1.22047
$838$	−73.3000	+	600.345i	−0.0874701	+	0.716402i
$839$	826.516	+	268.551i	0.985120	+	0.320085i	0.756904	−	0.653526i	$-0.226711\pi$
$839$	826.516	+	268.551i	0.985120	+	0.320085i	0.228216	+	0.973611i	$0.426711\pi$
$840$	24.4867	−	6.61460i	0.0291508	−	0.00787453i
$841$	522.338	−	379.501i	0.621092	−	0.451249i
$842$	−87.8396	+	188.706i	−0.104323	+	0.224117i
$843$	397.416	−	129.128i	0.471430	−	0.153177i
$844$	881.223	−	741.473i	1.04410	−	0.878522i
$845$	−95.1226	−	69.1106i	−0.112571	−	0.0817877i
$846$	368.009	+	662.845i	0.434999	+	0.783505i
$847$	−275.902	+	379.606i	−0.325740	+	0.448177i
$848$	−651.868	−	1327.38i	−0.768712	−	1.56530i
$849$	389.688	+	283.125i	0.458996	+	0.333480i
$850$	72.7436	+	372.883i	0.0855807	+	0.438686i
$851$	523.448	−	170.079i	0.615098	−	0.199857i
$852$	30.5479	+	428.504i	0.0358543	+	0.502939i
$853$	1053.49	−	765.403i	1.23504	−	0.897307i	0.237780	−	0.971319i	$-0.423580\pi$
$853$	1053.49	−	765.403i	1.23504	−	0.897307i	0.997257	+	0.0740115i	$0.0235802\pi$
$854$	−410.928	+	441.266i	−0.481180	+	0.516705i
$855$	−106.568	−	34.6260i	−0.124641	−	0.0404982i
$856$	163.497	+	131.847i	0.191001	+	0.154027i
$857$	676.267			0.789110			0.394555	−	0.918872i	$-0.370899\pi$
$857$	676.267			0.789110			0.394555	+	0.918872i	$0.370899\pi$
$858$	−60.5474	−	56.3946i	−0.0705681	−	0.0657280i
$859$		−	745.506i		−	0.867877i	−0.900943	−	0.433938i	$-0.857124\pi$
$859$		−	745.506i		−	0.867877i	0.900943	−	0.433938i	$-0.142876\pi$
$860$	48.4188	+	119.374i	0.0563009	+	0.138807i
$861$	72.2715	−	222.429i	0.0839390	−	0.258338i
$862$	−457.619	+	491.404i	−0.530881	+	0.570074i
$863$	783.896	+	1078.94i	0.908338	+	1.25022i	0.967731	+	0.251986i	$0.0810836\pi$
$863$	783.896	+	1078.94i	0.908338	+	1.25022i	−0.0593926	+	0.998235i	$0.518916\pi$
$864$	12.2472	+	587.496i	0.0141750	+	0.679972i
$865$	10.8807	+	33.4873i	0.0125788	+	0.0387136i
$866$	−244.818	−	1254.94i	−0.282700	−	1.44912i
$867$	146.812	−	202.069i	0.169333	−	0.233067i
$868$	−456.326	+	732.483i	−0.525721	+	0.843874i
$869$	−257.207	+	791.366i	−0.295981	+	0.910663i
$870$	−11.0926	−	19.9796i	−0.0127501	−	0.0229650i
$871$	116.816	−	160.783i	0.134117	−	0.184596i
$872$	−593.149	−	226.305i	−0.680217	−	0.259525i
$873$	258.829	+	796.595i	0.296483	+	0.912480i
$874$	242.993	−	522.024i	0.278024	−	0.597282i
$875$	−84.3240	−	116.062i	−0.0963703	−	0.132642i
$876$	78.6845	−	317.419i	0.0898225	−	0.362351i
$877$	−122.743	+	377.764i	−0.139958	+	0.430746i	−0.996328	−	0.0856163i	$-0.972714\pi$
$877$	−122.743	+	377.764i	−0.139958	+	0.430746i	0.856370	+	0.516362i	$0.172714\pi$
$878$	101.762	−	833.457i	0.115902	−	0.949268i
$879$			571.204i			0.649834i
$880$	−118.201	+	58.0351i	−0.134319	+	0.0659489i
$881$	473.383			0.537325			0.268662	−	0.963234i	$-0.413418\pi$
$881$	473.383			0.537325			0.268662	+	0.963234i	$0.413418\pi$
$882$	526.260	+	64.2544i	0.596666	+	0.0728508i
$883$	−1305.74	−	424.260i	−1.47875	−	0.480475i	−0.545011	−	0.838429i	$-0.683475\pi$
$883$	−1305.74	−	424.260i	−1.47875	−	0.480475i	−0.933739	+	0.357954i	$0.883475\pi$
$884$	−103.868	−	25.7478i	−0.117498	−	0.0291264i
$885$	53.0593	−	38.5499i	0.0599540	−	0.0435592i
$886$	−454.162	−	211.404i	−0.512598	−	0.238605i
$887$	266.937	−	86.7330i	0.300943	−	0.0977824i	−0.154653	−	0.987969i	$-0.549426\pi$
$887$	266.937	−	86.7330i	0.300943	−	0.0977824i	0.455597	+	0.890186i	$0.349426\pi$
$888$	114.286	−	299.544i	0.128700	−	0.337324i
$889$	−278.627	−	202.434i	−0.313416	−	0.227710i
$890$	61.1505	−	33.9505i	0.0687084	−	0.0381466i
$891$	−324.474	−	446.682i	−0.364168	−	0.501326i
$892$	522.294	+	325.381i	0.585531	+	0.364777i
$893$	−753.751	−	547.632i	−0.844066	−	0.613250i
$894$	−254.105	+	49.5718i	−0.284234	+	0.0554495i
$895$	64.9321	−	21.0977i	0.0725498	−	0.0235729i
$896$	−426.730	−	253.656i	−0.476261	−	0.283099i
$897$	45.6597	−	33.1737i	0.0509027	−	0.0369830i
$898$	−160.658	−	149.613i	−0.178907	−	0.166606i
$899$	739.472	+	240.269i	0.822550	+	0.267263i
$900$	707.176	−	286.834i	0.785751	−	0.318704i
$901$	−718.356			−0.797287
$902$	−147.259	+	1205.21i	−0.163258	+	1.33615i
$903$			182.408i			0.202003i
$904$	−114.239	+	141.662i	−0.126371	+	0.156706i
$905$	4.62599	−	14.2373i	0.00511159	−	0.0157319i
$906$	232.262	+	216.293i	0.256360	+	0.238734i
$907$	−286.376	−	394.163i	−0.315740	−	0.434578i	0.621421	−	0.783477i	$-0.286556\pi$
$907$	−286.376	−	394.163i	−0.315740	−	0.434578i	−0.937160	+	0.348899i	$0.886556\pi$
$908$	1288.90	−	91.8853i	1.41949	−	0.101195i
$909$	−174.738	−	537.788i	−0.192231	−	0.591626i
$910$	19.6063	−	3.82488i	0.0215454	−	0.00420316i
$911$	−627.748	+	864.021i	−0.689076	+	0.948431i	−0.999998	−	0.00200421i	$-0.999362\pi$
$911$	−627.748	+	864.021i	−0.689076	+	0.948431i	0.310922	+	0.950435i	$0.399362\pi$
$912$	−147.853	−	301.068i	−0.162119	−	0.330118i
$913$	−587.693	−	427.063i	−0.643695	−	0.467758i
$914$	−558.446	+	310.047i	−0.610991	+	0.339219i
$915$	−37.3534	+	51.4126i	−0.0408234	+	0.0561886i
$916$	734.304	+	872.703i	0.801642	+	0.952733i
$917$	204.525	+	629.462i	0.223037	+	0.686436i
$918$	258.786	+	120.460i	0.281902	+	0.131220i
$919$	−170.812	−	235.102i	−0.185867	−	0.255824i	0.705908	−	0.708304i	$-0.250539\pi$
$919$	−170.812	−	235.102i	−0.185867	−	0.255824i	−0.891774	+	0.452480i	$0.850539\pi$
$920$	−23.4231	−	86.7105i	−0.0254599	−	0.0942505i
$921$	178.305	−	548.768i	0.193600	−	0.595839i
$922$	−1260.92	−	153.954i	−1.36760	−	0.166979i
$923$			338.328i			0.366553i
$924$	−185.987	+	13.2426i	−0.201284	+	0.0143318i
$925$	−896.403			−0.969085
$926$	178.306	−	1460.37i	0.192555	−	1.57707i
$927$	−155.656	−	50.5757i	−0.167914	−	0.0545585i
$928$	−129.316	+	428.159i	−0.139349	+	0.461379i
$929$	139.029	−	101.011i	0.149655	−	0.108731i	−0.510438	−	0.859914i	$-0.670517\pi$
$929$	139.029	−	101.011i	0.149655	−	0.108731i	0.660093	+	0.751184i	$0.270517\pi$
$930$	−38.3830	+	82.4585i	−0.0412720	+	0.0886650i
$931$	−619.632	+	201.331i	−0.665555	+	0.216252i
$932$	502.261	+	596.926i	0.538907	+	0.640478i
$933$	281.856	+	204.780i	0.302096	+	0.219486i
$934$	−284.772	−	512.921i	−0.304895	−	0.549166i
$935$	−0.00560254	+	63.9658i	−5.99202e−6	+	0.0684126i
$936$	−10.8133	+	214.684i	−0.0115526	+	0.229363i
$937$	−694.695	−	504.726i	−0.741404	−	0.538661i	0.151747	−	0.988419i	$-0.451510\pi$
$937$	−694.695	−	504.726i	−0.741404	−	0.538661i	−0.893150	+	0.449758i	$0.851510\pi$
$938$	−85.7521	−	439.565i	−0.0914202	−	0.468620i
$939$	−335.014	+	108.853i	−0.356777	+	0.115924i
$940$	−144.963	+	10.3344i	−0.154216	+	0.0109940i
$941$	−755.437	+	548.857i	−0.802802	+	0.583270i	−0.911735	−	0.410779i	$-0.865257\pi$
$941$	−755.437	+	548.857i	−0.802802	+	0.583270i	0.108932	+	0.994049i	$0.465257\pi$
$942$	−132.195	+	141.955i	−0.140335	+	0.150695i
$943$	−787.648	−	255.922i	−0.835258	−	0.271392i
$944$	−1264.72	−	219.469i	−1.33974	−	0.232488i
$945$	−53.2846			−0.0563858
$946$	−181.241	−	929.472i	−0.191586	−	0.982528i
$947$			588.592i			0.621533i	0.950486	+	0.310767i	$0.100586\pi$
$947$			588.592i			0.621533i	−0.950486	+	0.310767i	$0.899414\pi$
$948$	−306.380	+	124.269i	−0.323186	+	0.131086i
$949$	79.5881	−	244.947i	0.0838652	−	0.258110i
$950$	−639.118	+	686.303i	−0.672756	+	0.722424i
$951$	−232.837	−	320.473i	−0.244834	−	0.336985i
$952$	−201.976	+	131.750i	−0.212160	+	0.138393i
$953$	−4.59701	−	14.1481i	−0.00482373	−	0.0148459i	0.948616	−	0.316431i	$-0.102484\pi$
$953$	−4.59701	−	14.1481i	−0.00482373	−	0.0148459i	−0.953439	+	0.301585i	$0.902484\pi$
$954$	276.291	+	1416.27i	0.289613	+	1.48456i
$955$	96.6409	−	133.015i	0.101195	−	0.139282i
$956$	717.473	+	446.975i	0.750494	+	0.467547i
$957$	51.8982	+	159.774i	0.0542300	+	0.166953i
$958$	−97.6240	−	175.837i	−0.101904	−	0.183546i
$959$	203.273	−	279.781i	0.211963	−	0.291743i
$960$	−47.8830	−	21.0859i	−0.0498781	−	0.0219645i
$961$	−659.325	−	2029.19i	−0.686083	−	2.11155i
$962$	106.554	−	228.911i	0.110763	−	0.237953i
$963$	−120.464	−	165.804i	−0.125092	−	0.172174i
$964$	1274.57	+	315.951i	1.32217	+	0.327750i
$965$	−20.7646	+	63.9069i	−0.0215177	+	0.0662248i
$966$	15.4140	−	126.245i	0.0159565	−	0.130688i
$967$			974.002i			1.00724i	0.863925	+	0.503621i	$0.167999\pi$
$967$			974.002i			1.00724i	−0.863925	+	0.503621i	$0.832001\pi$
$968$	934.549	−	252.274i	0.965443	−	0.260614i
$969$	−162.933			−0.168146
$970$	−159.375	−	19.4591i	−0.164304	−	0.0200609i
$971$	408.637	+	132.774i	0.420841	+	0.136740i	0.511779	−	0.859117i	$-0.328987\pi$
$971$	408.637	+	132.774i	0.420841	+	0.136740i	−0.0909380	+	0.995857i	$0.528987\pi$
$972$	211.839	−	854.574i	0.217941	−	0.879192i
$973$	562.103	−	408.392i	0.577701	−	0.419725i
$974$	216.939	+	100.981i	0.222730	+	0.103677i
$975$	−87.4215	+	28.4050i	−0.0896631	+	0.0291333i
$976$	1231.20	−	176.440i	1.26148	−	0.180779i
$977$	258.647	+	187.918i	0.264736	+	0.192342i	0.712232	−	0.701944i	$-0.247684\pi$
$977$	258.647	+	187.918i	0.264736	+	0.192342i	−0.447496	+	0.894286i	$0.647684\pi$
$978$	−43.4217	+	24.1075i	−0.0443984	+	0.0246498i
$979$	−489.011	+	158.842i	−0.499501	+	0.162249i
$980$	−53.7379	+	86.2587i	−0.0548346	+	0.0880191i
$981$	501.160	+	364.114i	0.510866	+	0.371166i
$982$	−547.966	+	106.899i	−0.558010	+	0.108859i
$983$	−281.950	+	91.6112i	−0.286826	+	0.0931955i	−0.448897	−	0.893584i	$-0.648183\pi$
$983$	−281.950	+	91.6112i	−0.286826	+	0.0931955i	0.162070	+	0.986779i	$0.448183\pi$
$984$	−404.060	+	263.569i	−0.410630	+	0.267855i
$985$	−68.6084	+	49.8469i	−0.0696532	+	0.0506060i
$986$	158.998	+	148.067i	0.161256	+	0.150169i
$987$	−195.716	−	63.5919i	−0.198293	−	0.0644295i
$988$	−99.2873	−	244.788i	−0.100493	−	0.247762i
$989$	645.931			0.653115
$990$	126.113	−	24.5912i	0.127387	−	0.0248396i
$991$			418.812i			0.422616i	0.977420	+	0.211308i	$0.0677723\pi$
$991$			418.812i			0.422616i	−0.977420	+	0.211308i	$0.932228\pi$
$992$	1681.18	−	585.259i	1.69474	−	0.589979i
$993$	−29.7243	+	91.4820i	−0.0299338	+	0.0921269i
$994$	557.945	+	519.585i	0.561313	+	0.522722i
$995$	56.3844	+	77.6065i	0.0566677	+	0.0779964i
$996$	−20.5256	−	287.918i	−0.0206080	−	0.289075i
$997$	−474.883	−	1461.54i	−0.476312	−	1.46594i	−0.844180	−	0.536059i	$-0.819912\pi$
$997$	−474.883	−	1461.54i	−0.476312	−	1.46594i	0.367868	−	0.929878i	$-0.380088\pi$
$998$	−331.938	+	64.7557i	−0.332603	+	0.0648855i
$999$	−395.882	+	544.886i	−0.396279	+	0.545431i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	44.3.h.a.15.10	yes	40
3.2	odd	2		396.3.s.a.235.1		40
4.3	odd	2	inner	44.3.h.a.15.7	yes	40
11.3	even	5	inner	44.3.h.a.3.7	✓	40
11.5	even	5		484.3.b.j.243.4		20
11.6	odd	10		484.3.b.k.243.17		20
12.11	even	2		396.3.s.a.235.4		40
33.14	odd	10		396.3.s.a.91.4		40
44.3	odd	10	inner	44.3.h.a.3.10	yes	40
44.27	odd	10		484.3.b.j.243.3		20
44.39	even	10		484.3.b.k.243.18		20
132.47	even	10		396.3.s.a.91.1		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
44.3.h.a.3.7	✓	40	11.3	even	5	inner
44.3.h.a.3.10	yes	40	44.3	odd	10	inner
44.3.h.a.15.7	yes	40	4.3	odd	2	inner
44.3.h.a.15.10	yes	40	1.1	even	1	trivial
396.3.s.a.91.1		40	132.47	even	10
396.3.s.a.91.4		40	33.14	odd	10
396.3.s.a.235.1		40	3.2	odd	2
396.3.s.a.235.4		40	12.11	even	2
484.3.b.j.243.3		20	44.27	odd	10
484.3.b.j.243.4		20	11.5	even	5
484.3.b.k.243.17		20	11.6	odd	10
484.3.b.k.243.18		20	44.39	even	10

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:	\( N \)	\(=\)	\( 44 = 2^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	44.h (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.98526 + 0.242393i) q^{2} +(-1.03917 - 0.337648i) q^{3} +(3.88249 + 0.962424i) q^{4} +(0.605291 - 0.439770i) q^{5} +(-1.98118 - 0.922207i) q^{6} +(-3.68852 + 1.19847i) q^{7} +(7.47446 + 2.85175i) q^{8} +(-6.31528 - 4.58832i) q^{9} +O(q^{10})\)	\(q+(1.98526 + 0.242393i) q^{2} +(-1.03917 - 0.337648i) q^{3} +(3.88249 + 0.962424i) q^{4} +(0.605291 - 0.439770i) q^{5} +(-1.98118 - 0.922207i) q^{6} +(-3.68852 + 1.19847i) q^{7} +(7.47446 + 2.85175i) q^{8} +(-6.31528 - 4.58832i) q^{9} +(1.30826 - 0.726338i) q^{10} +(-10.4619 + 3.39827i) q^{11} +(-3.70962 - 2.31104i) q^{12} +(-2.78472 - 2.02322i) q^{13} +(-7.61316 + 1.48521i) q^{14} +(-0.777490 + 0.252622i) q^{15} +(14.1475 + 7.47320i) q^{16} +(6.28791 - 4.56843i) q^{17} +(-11.4253 - 10.6398i) q^{18} +(18.2467 + 5.92872i) q^{19} +(2.77328 - 1.12486i) q^{20} +4.23767 q^{21} +(-21.5933 + 4.21055i) q^{22} -15.0061i q^{23} +(-6.80438 - 5.48720i) q^{24} +(-7.55245 + 23.2440i) q^{25} +(-5.03798 - 4.69161i) q^{26} +(10.7936 + 14.8562i) q^{27} +(-15.4741 + 1.10314i) q^{28} +(4.31911 + 13.2929i) q^{29} +(-1.60475 + 0.313061i) q^{30} +(32.6981 - 45.0051i) q^{31} +(26.2749 + 18.2655i) q^{32} +(12.0192 + 0.00105272i) q^{33} +(13.5905 - 7.54537i) q^{34} +(-1.70557 + 2.34752i) q^{35} +(-20.1031 - 23.8921i) q^{36} +(11.3339 + 34.8823i) q^{37} +(34.7874 + 16.1929i) q^{38} +(2.21068 + 3.04274i) q^{39} +(5.77833 - 1.56090i) q^{40} +(17.0545 - 52.4884i) q^{41} +(8.41287 + 1.02718i) q^{42} +43.0444i q^{43} +(-43.8889 + 3.12496i) q^{44} -5.84038 q^{45} +(3.63738 - 29.7910i) q^{46} +(-46.1847 - 15.0063i) q^{47} +(-12.1784 - 12.5428i) q^{48} +(-27.4730 + 19.9603i) q^{49} +(-20.6277 + 44.3147i) q^{50} +(-8.07676 + 2.62430i) q^{51} +(-8.86447 - 10.5352i) q^{52} +(-74.7736 - 54.3262i) q^{53} +(17.8271 + 32.1096i) q^{54} +(-4.83805 + 6.65778i) q^{55} +(-30.9874 - 1.56078i) q^{56} +(-16.9597 - 12.3220i) q^{57} +(5.35245 + 27.4367i) q^{58} +(-76.2995 + 24.7912i) q^{59} +(-3.26173 + 0.232527i) q^{60} +(62.8898 - 45.6921i) q^{61} +(75.8230 - 81.4209i) q^{62} +(28.7930 + 9.35541i) q^{63} +(47.7351 + 42.6305i) q^{64} -2.57532 q^{65} +(23.8609 + 2.91545i) q^{66} +57.7376i q^{67} +(28.8095 - 11.6853i) q^{68} +(-5.06680 + 15.5940i) q^{69} +(-3.95503 + 4.24702i) q^{70} +(-57.7740 - 79.5191i) q^{71} +(-34.1186 - 52.3047i) q^{72} +(23.1219 + 71.1618i) q^{73} +(14.0456 + 71.9975i) q^{74} +(15.6966 - 21.6045i) q^{75} +(65.1368 + 40.5793i) q^{76} +(34.5162 - 25.0729i) q^{77} +(3.65123 + 6.57647i) q^{78} +(44.4641 - 61.1996i) q^{79} +(11.8498 - 1.69817i) q^{80} +(15.5097 + 47.7339i) q^{81} +(46.5804 - 100.069i) q^{82} +(38.8192 + 53.4301i) q^{83} +(16.4527 + 4.07844i) q^{84} +(1.79696 - 5.53046i) q^{85} +(-10.4337 + 85.4543i) q^{86} -15.2719i q^{87} +(-87.8882 - 4.43450i) q^{88} +46.7420 q^{89} +(-11.5947 - 1.41567i) q^{90} +(12.6963 + 4.12527i) q^{91} +(14.4423 - 58.2612i) q^{92} +(-49.1749 + 35.7277i) q^{93} +(-88.0511 - 40.9862i) q^{94} +(13.6519 - 4.43576i) q^{95} +(-21.1369 - 27.8527i) q^{96} +(-86.8069 - 63.0689i) q^{97} +(-59.3792 + 32.9671i) q^{98} +(81.6622 + 26.5416i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 5 q^{2} - 9 q^{4} - 6 q^{5} - 11 q^{6} + 7 q^{8} + 20 q^{9}+O(q^{10}) \) 40 * q - 5 * q^2 - 9 * q^4 - 6 * q^5 - 11 * q^6 + 7 * q^8 + 20 * q^9	\( 40 q - 5 q^{2} - 9 q^{4} - 6 q^{5} - 11 q^{6} + 7 q^{8} + 20 q^{9} - 8 q^{10} - 50 q^{12} - 6 q^{13} - 36 q^{14} - 65 q^{16} - 30 q^{17} - 58 q^{18} + 34 q^{20} - 52 q^{21} + 25 q^{22} + 49 q^{24} + 156 q^{26} + 130 q^{28} - 38 q^{29} + 94 q^{30} + 20 q^{32} - 110 q^{33} + 258 q^{34} + 324 q^{36} - 150 q^{37} + 80 q^{38} + 112 q^{40} - 150 q^{41} - 230 q^{42} + 4 q^{44} + 144 q^{45} + 40 q^{46} - 304 q^{48} + 132 q^{49} - 177 q^{50} - 314 q^{52} + 290 q^{53} - 540 q^{54} - 856 q^{56} + 242 q^{57} - 476 q^{58} - 344 q^{60} + 42 q^{61} - 364 q^{62} + 303 q^{64} + 164 q^{65} - 50 q^{66} + 14 q^{68} - 104 q^{69} + 576 q^{70} + 535 q^{72} + 186 q^{73} + 588 q^{74} + 366 q^{76} + 190 q^{77} + 1412 q^{78} + 1100 q^{80} - 160 q^{81} + 365 q^{82} + 380 q^{84} + 286 q^{85} - 501 q^{86} + 47 q^{88} - 88 q^{89} - 150 q^{90} - 702 q^{92} - 178 q^{93} - 678 q^{94} - 616 q^{96} - 130 q^{97} - 652 q^{98}+O(q^{100}) \) 40 * q - 5 * q^2 - 9 * q^4 - 6 * q^5 - 11 * q^6 + 7 * q^8 + 20 * q^9 - 8 * q^10 - 50 * q^12 - 6 * q^13 - 36 * q^14 - 65 * q^16 - 30 * q^17 - 58 * q^18 + 34 * q^20 - 52 * q^21 + 25 * q^22 + 49 * q^24 + 156 * q^26 + 130 * q^28 - 38 * q^29 + 94 * q^30 + 20 * q^32 - 110 * q^33 + 258 * q^34 + 324 * q^36 - 150 * q^37 + 80 * q^38 + 112 * q^40 - 150 * q^41 - 230 * q^42 + 4 * q^44 + 144 * q^45 + 40 * q^46 - 304 * q^48 + 132 * q^49 - 177 * q^50 - 314 * q^52 + 290 * q^53 - 540 * q^54 - 856 * q^56 + 242 * q^57 - 476 * q^58 - 344 * q^60 + 42 * q^61 - 364 * q^62 + 303 * q^64 + 164 * q^65 - 50 * q^66 + 14 * q^68 - 104 * q^69 + 576 * q^70 + 535 * q^72 + 186 * q^73 + 588 * q^74 + 366 * q^76 + 190 * q^77 + 1412 * q^78 + 1100 * q^80 - 160 * q^81 + 365 * q^82 + 380 * q^84 + 286 * q^85 - 501 * q^86 + 47 * q^88 - 88 * q^89 - 150 * q^90 - 702 * q^92 - 178 * q^93 - 678 * q^94 - 616 * q^96 - 130 * q^97 - 652 * q^98

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