LMFDB - Embedded newform 48.6.k.a.11.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [48,6,Mod(11,48)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(48, base_ring=CyclotomicField(4))

chi = DirichletCharacter(H, H._module([2, 1, 2]))

N = Newforms(chi, 6, names="a")

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

chi := DirichletCharacter("48.11");

S:= CuspForms(chi, 6);

N := Newforms(S);

Level:	$ N $	$=$	$ 48 = 2^{4} \cdot 3 $
Weight:	$ k $	$=$	$ 6 $
Character orbit:	$[\chi]$	$=$	48.k (of order $4$, degree $2$, 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:	$7.69842335102$
Analytic rank:	$0$
Dimension:	$76$
Relative dimension:	$38$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			11.12
Character	$\chi$	$=$	48.11
Dual form			48.6.k.a.35.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-3.29561 + 4.59771i) q^{2} +(13.1034 - 8.44402i) q^{3} +(-10.2779 - 30.3045i) q^{4} +(-39.6034 + 39.6034i) q^{5} +(-4.36045 + 88.0738i) q^{6} +91.7189 q^{7} +(173.203 + 52.6171i) q^{8} +(100.397 - 221.290i) q^{9} +O(q^{10})$	\(q+(-3.29561 + 4.59771i) q^{2} +(13.1034 - 8.44402i) q^{3} +(-10.2779 - 30.3045i) q^{4} +(-39.6034 + 39.6034i) q^{5} +(-4.36045 + 88.0738i) q^{6} +91.7189 q^{7} +(173.203 + 52.6171i) q^{8} +(100.397 - 221.290i) q^{9} +(-51.5676 - 312.602i) q^{10} +(480.420 + 480.420i) q^{11} +(-390.567 - 310.305i) q^{12} +(546.304 - 546.304i) q^{13} +(-302.270 + 421.697i) q^{14} +(-184.526 + 853.349i) q^{15} +(-812.730 + 622.934i) q^{16} +1418.58i q^{17} +(686.560 + 1190.88i) q^{18} +(1273.86 + 1273.86i) q^{19} +(1607.20 + 793.122i) q^{20} +(1201.83 - 774.477i) q^{21} +(-3792.11 + 625.555i) q^{22} -2353.59i q^{23} +(2713.85 - 773.072i) q^{24} -11.8519i q^{25} +(711.343 + 4312.15i) q^{26} +(-553.042 - 3747.41i) q^{27} +(-942.678 - 2779.50i) q^{28} +(-2778.02 - 2778.02i) q^{29} +(-3315.33 - 3660.70i) q^{30} -981.102i q^{31} +(-185.630 - 5789.64i) q^{32} +(10351.8 + 2238.45i) q^{33} +(-6522.22 - 4675.09i) q^{34} +(-3632.38 + 3632.38i) q^{35} +(-7737.97 - 768.082i) q^{36} +(510.273 + 510.273i) q^{37} +(-10055.0 + 1658.69i) q^{38} +(2545.42 - 11771.4i) q^{39} +(-8943.25 + 4775.62i) q^{40} +14561.0 q^{41} +(-399.935 + 8078.03i) q^{42} +(2097.45 - 2097.45i) q^{43} +(9621.20 - 19496.6i) q^{44} +(4787.79 + 12739.9i) q^{45} +(10821.1 + 7756.52i) q^{46} -10738.0 q^{47} +(-5389.43 + 15025.2i) q^{48} -8394.64 q^{49} +(54.4917 + 39.0593i) q^{50} +(11978.5 + 18588.2i) q^{51} +(-22170.3 - 10940.6i) q^{52} +(-11361.6 + 11361.6i) q^{53} +(19052.1 + 9807.26i) q^{54} -38052.5 q^{55} +(15886.0 + 4825.99i) q^{56} +(27448.3 + 5935.36i) q^{57} +(21927.8 - 3617.26i) q^{58} +(-32835.5 - 32835.5i) q^{59} +(27756.9 - 3178.66i) q^{60} +(20001.6 - 20001.6i) q^{61} +(4510.82 + 3233.33i) q^{62} +(9208.30 - 20296.5i) q^{63} +(27230.9 + 18226.9i) q^{64} +43270.9i q^{65} +(-44407.2 + 40217.6i) q^{66} +(-23650.9 - 23650.9i) q^{67} +(42989.4 - 14580.0i) q^{68} +(-19873.8 - 30840.0i) q^{69} +(-4729.72 - 28671.5i) q^{70} +21593.2i q^{71} +(29032.8 - 33045.7i) q^{72} +39965.5i q^{73} +(-4027.75 + 664.427i) q^{74} +(-100.078 - 155.300i) q^{75} +(25511.1 - 51696.3i) q^{76} +(44063.6 + 44063.6i) q^{77} +(45732.9 + 50497.2i) q^{78} +89980.1i q^{79} +(7516.54 - 56857.1i) q^{80} +(-38889.9 - 44433.8i) q^{81} +(-47987.4 + 66947.3i) q^{82} +(-3985.09 + 3985.09i) q^{83} +(-35822.4 - 28460.8i) q^{84} +(-56180.5 - 56180.5i) q^{85} +(2731.10 + 16555.9i) q^{86} +(-59859.1 - 12943.8i) q^{87} +(57932.1 + 108489. i) q^{88} -45549.0 q^{89} +(-74353.1 - 19972.9i) q^{90} +(50106.4 - 50106.4i) q^{91} +(-71324.5 + 24190.0i) q^{92} +(-8284.44 - 12855.7i) q^{93} +(35388.1 - 49370.0i) q^{94} -100898. q^{95} +(-51320.3 - 74296.4i) q^{96} +91642.7 q^{97} +(27665.5 - 38596.1i) q^{98} +(154545. - 58079.6i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 76 q - 2 q^{3} - 4 q^{4} - 116 q^{6} - 8 q^{7}+O(q^{10}) $ 76 * q - 2 * q^3 - 4 * q^4 - 116 * q^6 - 8 * q^7	$ 76 q - 2 q^{3} - 4 q^{4} - 116 q^{6} - 8 q^{7} - 104 q^{10} + 784 q^{12} - 4 q^{13} + 4560 q^{16} - 4076 q^{18} + 2356 q^{19} - 488 q^{21} + 2232 q^{22} + 2568 q^{24} - 3734 q^{27} - 12392 q^{28} + 628 q^{30} - 4 q^{33} + 26248 q^{34} - 30748 q^{36} - 4 q^{37} - 44908 q^{39} + 440 q^{40} + 11256 q^{42} + 652 q^{43} - 6252 q^{45} + 31320 q^{46} - 9168 q^{48} + 124844 q^{49} + 8664 q^{51} - 48448 q^{52} - 19480 q^{54} - 110056 q^{55} + 76088 q^{58} - 85408 q^{60} + 48076 q^{61} - 11080 q^{64} + 91492 q^{66} + 48924 q^{67} + 484 q^{69} + 86200 q^{70} - 16376 q^{72} - 69634 q^{75} + 30920 q^{76} + 13020 q^{78} - 4 q^{81} - 200768 q^{82} + 111760 q^{84} - 119904 q^{85} + 282180 q^{87} - 123616 q^{88} - 17680 q^{90} - 167288 q^{91} + 181660 q^{93} - 13200 q^{94} - 61688 q^{96} - 8 q^{97} - 287860 q^{99}+O(q^{100}) $ 76 * q - 2 * q^3 - 4 * q^4 - 116 * q^6 - 8 * q^7 - 104 * q^10 + 784 * q^12 - 4 * q^13 + 4560 * q^16 - 4076 * q^18 + 2356 * q^19 - 488 * q^21 + 2232 * q^22 + 2568 * q^24 - 3734 * q^27 - 12392 * q^28 + 628 * q^30 - 4 * q^33 + 26248 * q^34 - 30748 * q^36 - 4 * q^37 - 44908 * q^39 + 440 * q^40 + 11256 * q^42 + 652 * q^43 - 6252 * q^45 + 31320 * q^46 - 9168 * q^48 + 124844 * q^49 + 8664 * q^51 - 48448 * q^52 - 19480 * q^54 - 110056 * q^55 + 76088 * q^58 - 85408 * q^60 + 48076 * q^61 - 11080 * q^64 + 91492 * q^66 + 48924 * q^67 + 484 * q^69 + 86200 * q^70 - 16376 * q^72 - 69634 * q^75 + 30920 * q^76 + 13020 * q^78 - 4 * q^81 - 200768 * q^82 + 111760 * q^84 - 119904 * q^85 + 282180 * q^87 - 123616 * q^88 - 17680 * q^90 - 167288 * q^91 + 181660 * q^93 - 13200 * q^94 - 61688 * q^96 - 8 * q^97 - 287860 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/48\mathbb{Z}\right)^\times$.

$n$	$17$	$31$	$37$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−3.29561	+	4.59771i	−0.582587	+	0.812768i
$2$	−3.29561	+	4.59771i	−0.582587	+	0.812768i
$3$	13.1034	−	8.44402i	0.840582	−	0.541684i
$3$	13.1034	−	8.44402i	0.840582	−	0.541684i
$4$	−10.2779	−	30.3045i	−0.321184	−	0.947017i
$5$	−39.6034	+	39.6034i	−0.708446	+	0.708446i	−0.966208	−	0.257762i	$-0.917015\pi$
$5$	−39.6034	+	39.6034i	−0.708446	+	0.708446i	0.257762	+	0.966208i	$0.417015\pi$
$6$	−4.36045	+	88.0738i	−0.0494485	+	0.998777i
$7$	91.7189			0.707479			0.353740	−	0.935344i	$-0.384910\pi$
$7$	91.7189			0.707479			0.353740	+	0.935344i	$0.384910\pi$
$8$	173.203	+	52.6171i	0.956823	+	0.290671i
$9$	100.397	−	221.290i	0.413156	−	0.910660i
$10$	−51.5676	−	312.602i	−0.163071	−	0.988535i
$11$	480.420	+	480.420i	1.19712	+	1.19712i	0.975024	+	0.222101i	$0.0712915\pi$
$11$	480.420	+	480.420i	1.19712	+	1.19712i	0.222101	+	0.975024i	$0.428708\pi$
$12$	−390.567	−	310.305i	−0.782966	−	0.622065i
$13$	546.304	−	546.304i	0.896553	−	0.896553i	−0.0985765	−	0.995129i	$-0.531429\pi$
$13$	546.304	−	546.304i	0.896553	−	0.896553i	0.995129	+	0.0985765i	$0.0314289\pi$
$14$	−302.270	+	421.697i	−0.412168	+	0.575017i
$15$	−184.526	+	853.349i	−0.211753	+	0.979262i
$16$	−812.730	+	622.934i	−0.793681	+	0.608334i
$17$			1418.58i			1.19051i	0.803538	+	0.595253i	$0.202948\pi$
$17$			1418.58i			1.19051i	−0.803538	+	0.595253i	$0.797052\pi$
$18$	686.560	+	1190.88i	0.499456	+	0.866339i
$19$	1273.86	+	1273.86i	0.809538	+	0.809538i	0.984564	−	0.175026i	$-0.0560009\pi$
$19$	1273.86	+	1273.86i	0.809538	+	0.809538i	−0.175026	+	0.984564i	$0.556001\pi$
$20$	1607.20	+	793.122i	0.898452	+	0.443369i
$21$	1201.83	−	774.477i	0.594694	−	0.383230i
$22$	−3792.11	+	625.555i	−1.67041	+	0.275555i
$23$		−	2353.59i		−	0.927708i	−0.885912	−	0.463854i	$-0.846466\pi$
$23$		−	2353.59i		−	0.927708i	0.885912	−	0.463854i	$-0.153534\pi$
$24$	2713.85	−	773.072i	0.961740	−	0.273963i
$25$		−	11.8519i		−	0.00379261i
$26$	711.343	+	4312.15i	0.206370	+	1.25101i
$27$	−553.042	−	3747.41i	−0.145999	−	0.989285i
$28$	−942.678	−	2779.50i	−0.227231	−	0.669995i
$29$	−2778.02	−	2778.02i	−0.613395	−	0.613395i	0.330434	−	0.943829i	$-0.392805\pi$
$29$	−2778.02	−	2778.02i	−0.613395	−	0.613395i	−0.943829	+	0.330434i	$0.892805\pi$
$30$	−3315.33	−	3660.70i	−0.672548	−	0.742611i
$31$		−	981.102i		−	0.183362i	−0.995788	−	0.0916811i	$-0.970776\pi$
$31$		−	981.102i		−	0.183362i	0.995788	−	0.0916811i	$-0.0292240\pi$
$32$	−185.630	−	5789.64i	−0.0320460	−	0.999486i
$33$	10351.8	+	2238.45i	1.65475	+	0.357818i
$34$	−6522.22	−	4675.09i	−0.967605	−	0.693573i
$35$	−3632.38	+	3632.38i	−0.501211	+	0.501211i
$36$	−7737.97	−	768.082i	−0.995110	−	0.0987760i
$37$	510.273	+	510.273i	0.0612771	+	0.0612771i	0.737081	−	0.675804i	$-0.236203\pi$
$37$	510.273	+	510.273i	0.0612771	+	0.0612771i	−0.675804	+	0.737081i	$0.736203\pi$
$38$	−10055.0	+	1658.69i	−1.12959	+	0.186340i
$39$	2545.42	−	11771.4i	0.267978	−	1.23928i
$40$	−8943.25	+	4775.62i	−0.883783	+	0.471933i
$41$	14561.0			1.35279			0.676397	−	0.736537i	$-0.263540\pi$
$41$	14561.0			1.35279			0.676397	+	0.736537i	$0.263540\pi$
$42$	−399.935	+	8078.03i	−0.0349838	+	0.706614i
$43$	2097.45	−	2097.45i	0.172990	−	0.172990i	−0.615302	−	0.788292i	$-0.710966\pi$
$43$	2097.45	−	2097.45i	0.172990	−	0.172990i	0.788292	+	0.615302i	$0.210966\pi$
$44$	9621.20	−	19496.6i	0.749199	−	1.51819i
$45$	4787.79	+	12739.9i	0.352455	+	0.937853i
$46$	10821.1	+	7756.52i	0.754012	+	0.540471i
$47$	−10738.0			−0.709050			−0.354525	−	0.935046i	$-0.615357\pi$
$47$	−10738.0			−0.709050			−0.354525	+	0.935046i	$0.615357\pi$
$48$	−5389.43	+	15025.2i	−0.337629	+	0.941279i
$49$	−8394.64			−0.499473
$50$	54.4917	+	39.0593i	0.00308252	+	0.00220953i
$51$	11978.5	+	18588.2i	0.644878	+	1.00072i
$52$	−22170.3	−	10940.6i	−1.13701	−	0.561092i
$53$	−11361.6	+	11361.6i	−0.555584	+	0.555584i	−0.928047	−	0.372463i	$-0.878513\pi$
$53$	−11361.6	+	11361.6i	−0.555584	+	0.555584i	0.372463	+	0.928047i	$0.378513\pi$
$54$	19052.1	+	9807.26i	0.889116	+	0.457682i
$55$	−38052.5			−1.69620
$56$	15886.0	+	4825.99i	0.676932	+	0.205644i
$57$	27448.3	+	5935.36i	1.11900	+	0.241969i
$58$	21927.8	−	3617.26i	0.855904	−	0.141192i
$59$	−32835.5	−	32835.5i	−1.22804	−	1.22804i	−0.964703	−	0.263339i	$-0.915176\pi$
$59$	−32835.5	−	32835.5i	−1.22804	−	1.22804i	−0.263339	−	0.964703i	$-0.584824\pi$
$60$	27756.9	−	3178.66i	0.995389	−	0.113990i
$61$	20001.6	−	20001.6i	0.688239	−	0.688239i	−0.273603	−	0.961843i	$-0.588216\pi$
$61$	20001.6	−	20001.6i	0.688239	−	0.688239i	0.961843	+	0.273603i	$0.0882156\pi$
$62$	4510.82	+	3233.33i	0.149031	+	0.106824i
$63$	9208.30	−	20296.5i	0.292299	−	0.644273i
$64$	27230.9	+	18226.9i	0.831020	+	0.556242i
$65$			43270.9i			1.27032i
$66$	−44407.2	+	40217.6i	−1.25486	+	1.13646i
$67$	−23650.9	−	23650.9i	−0.643667	−	0.643667i	0.307788	−	0.951455i	$-0.400411\pi$
$67$	−23650.9	−	23650.9i	−0.643667	−	0.643667i	−0.951455	+	0.307788i	$0.900411\pi$
$68$	42989.4	−	14580.0i	1.12743	−	0.382372i
$69$	−19873.8	−	30840.0i	−0.502525	−	0.779815i
$70$	−4729.72	−	28671.5i	−0.115369	−	0.699368i
$71$			21593.2i			0.508360i	0.967157	+	0.254180i	$0.0818056\pi$
$71$			21593.2i			0.508360i	−0.967157	+	0.254180i	$0.918194\pi$
$72$	29032.8	−	33045.7i	0.660020	−	0.751248i
$73$			39965.5i			0.877764i	0.898545	+	0.438882i	$0.144625\pi$
$73$			39965.5i			0.877764i	−0.898545	+	0.438882i	$0.855375\pi$
$74$	−4027.75	+	664.427i	−0.0855034	+	0.0141048i
$75$	−100.078	−	155.300i	−0.00205440	−	0.00318800i
$76$	25511.1	−	51696.3i	0.506635	−	1.02666i
$77$	44063.6	+	44063.6i	0.846941	+	0.846941i
$78$	45732.9	+	50497.2i	0.851123	+	0.939789i
$79$			89980.1i			1.62210i	0.584974	+	0.811052i	$0.301105\pi$
$79$			89980.1i			1.62210i	−0.584974	+	0.811052i	$0.698895\pi$
$80$	7516.54	−	56857.1i	0.131309	−	0.993253i
$81$	−38889.9	−	44433.8i	−0.658604	−	0.752490i
$82$	−47987.4	+	66947.3i	−0.788120	+	1.09951i
$83$	−3985.09	+	3985.09i	−0.0634955	+	0.0634955i	−0.738141	−	0.674646i	$-0.764296\pi$
$83$	−3985.09	+	3985.09i	−0.0634955	+	0.0634955i	0.674646	+	0.738141i	$0.264296\pi$
$84$	−35822.4	−	28460.8i	−0.553932	−	0.440098i
$85$	−56180.5	−	56180.5i	−0.843410	−	0.843410i
$86$	2731.10	+	16555.9i	0.0398191	+	0.241383i
$87$	−59859.1	−	12943.8i	−0.847875	−	0.183342i
$88$	57932.1	+	108489.i	0.797467	+	1.49341i
$89$	−45549.0			−0.609542			−0.304771	−	0.952426i	$-0.598580\pi$
$89$	−45549.0			−0.609542			−0.304771	+	0.952426i	$0.598580\pi$
$90$	−74353.1	−	19972.9i	−0.967593	−	0.259917i
$91$	50106.4	−	50106.4i	0.634293	−	0.634293i
$92$	−71324.5	+	24190.0i	−0.878555	+	0.297965i
$93$	−8284.44	−	12855.7i	−0.0993244	−	0.154131i
$94$	35388.1	−	49370.0i	0.413084	−	0.576294i
$95$	−100898.			−1.14703
$96$	−51320.3	−	74296.4i	−0.568343	−	0.822791i
$97$	91642.7			0.988937			0.494468	−	0.869196i	$-0.335363\pi$
$97$	91642.7			0.988937			0.494468	+	0.869196i	$0.335363\pi$
$98$	27665.5	−	38596.1i	0.290987	−	0.405956i
$99$	154545.	−	58079.6i	1.58477	−	0.595574i
$100$	−359.167	+	121.813i	−0.00359167	+	0.00121813i
$101$	−15212.1	+	15212.1i	−0.148384	+	0.148384i	−0.777396	−	0.629012i	$-0.783460\pi$
$101$	−15212.1	+	15212.1i	−0.148384	+	0.148384i	0.629012	+	0.777396i	$0.283460\pi$
$102$	−124940.	−	6185.64i	−1.18905	−	0.0588687i
$103$	−93725.5			−0.870492			−0.435246	−	0.900312i	$-0.643339\pi$
$103$	−93725.5			−0.870492			−0.435246	+	0.900312i	$0.643339\pi$
$104$	123367.	−	65876.8i	1.11844	−	0.597240i
$105$	−16924.5	+	78268.3i	−0.149811	+	0.692807i
$106$	−14794.0	−	89680.8i	−0.127885	−	0.775238i
$107$	11810.0	+	11810.0i	0.0997222	+	0.0997222i	0.755208	−	0.655486i	$-0.227536\pi$
$107$	11810.0	+	11810.0i	0.0997222	+	0.0997222i	−0.655486	+	0.755208i	$0.727536\pi$
$108$	−107879.	+	55275.2i	−0.889977	+	0.456006i
$109$	135115.	−	135115.i	1.08927	−	1.08927i	0.0936675	−	0.995604i	$-0.470141\pi$
$109$	135115.	−	135115.i	1.08927	−	1.08927i	0.995604	−	0.0936675i	$-0.0298591\pi$
$110$	125406.	−	174954.i	0.988183	−	1.37862i
$111$	10995.1	+	2377.54i	0.0847013	+	0.0183156i
$112$	−74542.7	+	57134.8i	−0.561513	+	0.430384i
$113$		−	32181.0i		−	0.237085i	−0.992949	−	0.118542i	$-0.962178\pi$
$113$		−	32181.0i		−	0.237085i	0.992949	−	0.118542i	$-0.0378221\pi$
$114$	−117748.	+	106639.i	−0.848578	+	0.768517i
$115$	93210.1	+	93210.1i	0.657232	+	0.657232i
$116$	−55634.3	+	112739.i	−0.383882	+	0.777908i
$117$	−66044.6	−	175739.i	−0.446039	−	1.18687i
$118$	259181.	−	42755.1i	1.71356	−	0.282672i
$119$			130111.i			0.842258i
$120$	−76861.3	+	138094.i	−0.487253	+	0.875429i
$121$			300556.i			1.86622i
$122$	26044.1	+	157879.i	0.158420	+	0.960338i
$123$	190798.	−	122953.i	1.13713	−	0.732787i
$124$	−29731.8	+	10083.7i	−0.173647	+	0.0588931i
$125$	−123291.	−	123291.i	−0.705760	−	0.705760i
$126$	62970.6	+	109227.i	0.353355	+	0.612917i
$127$		−	125436.i		−	0.690099i	−0.938585	−	0.345049i	$-0.887862\pi$
$127$		−	125436.i		−	0.690099i	0.938585	−	0.345049i	$-0.112138\pi$
$128$	−173545.	+	65130.8i	−0.936238	+	0.351368i
$129$	9772.78	−	45194.7i	0.0517064	−	0.239119i
$130$	−198947.	−	142604.i	−1.03248	−	0.740072i
$131$	−51717.6	+	51717.6i	−0.263306	+	0.263306i	−0.826396	−	0.563090i	$-0.809612\pi$
$131$	−51717.6	+	51717.6i	−0.263306	+	0.263306i	0.563090	+	0.826396i	$0.309612\pi$
$132$	−38559.7	−	336713.i	−0.192619	−	1.68200i
$133$	116837.	+	116837.i	0.572731	+	0.572731i
$134$	186684.	−	30795.9i	0.898144	−	0.148160i
$135$	170312.	+	126508.i	0.804288	+	0.597423i
$136$	−74641.6	+	245703.i	−0.346046	+	1.13910i
$137$	−112152.			−0.510512			−0.255256	−	0.966873i	$-0.582160\pi$
$137$	−112152.			−0.510512			−0.255256	+	0.966873i	$0.582160\pi$
$138$	207290.	+	10262.7i	0.926573	+	0.0458738i
$139$	143727.	−	143727.i	0.630961	−	0.630961i	−0.317348	−	0.948309i	$-0.602792\pi$
$139$	143727.	−	143727.i	0.630961	−	0.630961i	0.948309	+	0.317348i	$0.102792\pi$
$140$	147411.	+	72744.3i	0.635637	+	0.313674i
$141$	−140704.	+	90671.6i	−0.596015	+	0.384081i
$142$	−99279.4	−	71162.8i	−0.413179	−	0.296164i
$143$	524911.			2.14657
$144$	56253.7	+	242390.i	0.226071	+	0.974111i
$145$	220038.			0.869114
$146$	−183750.	−	131711.i	−0.713418	−	0.511374i
$147$	−109998.	+	70884.6i	−0.419848	+	0.270557i
$148$	10219.1	−	20708.1i	0.0383492	−	0.0777117i
$149$	−54256.6	+	54256.6i	−0.200211	+	0.200211i	−0.800090	−	0.599880i	$-0.795215\pi$
$149$	−54256.6	+	54256.6i	−0.200211	+	0.200211i	0.599880	+	0.800090i	$0.295215\pi$
$150$	1043.84	+	51.6797i	0.00378798	+	0.000187539i
$151$	−503044.			−1.79541			−0.897705	−	0.440597i	$-0.854767\pi$
$151$	−503044.			−1.79541			−0.897705	+	0.440597i	$0.854767\pi$
$152$	153610.	+	287664.i	0.539275	+	1.00989i
$153$	313918.	+	142421.i	1.08415	+	0.491865i
$154$	−347808.	+	57375.2i	−1.18178	+	0.194950i
$155$	38854.9	+	38854.9i	0.129902	+	0.129902i
$156$	−382889.	+	43847.7i	−1.25968	+	0.144257i
$157$	120177.	−	120177.i	0.389109	−	0.389109i	−0.485261	−	0.874369i	$-0.661275\pi$
$157$	120177.	−	120177.i	0.389109	−	0.389109i	0.874369	+	0.485261i	$0.161275\pi$
$158$	−413702.	−	296539.i	−1.31839	−	0.945017i
$159$	−52937.7	+	244813.i	−0.166063	+	0.767965i
$160$	236641.	+	221938.i	0.730785	+	0.685380i
$161$		−	215869.i		−	0.656334i
$162$	332460.	−	32368.2i	0.995294	−	0.0969015i
$163$	83687.6	+	83687.6i	0.246713	+	0.246713i	0.819620	−	0.572907i	$-0.194184\pi$
$163$	83687.6	+	83687.6i	0.246713	+	0.246713i	−0.572907	+	0.819620i	$0.694184\pi$
$164$	−149656.	−	441264.i	−0.434496	−	1.28112i
$165$	−498616.	+	321316.i	−1.42579	+	0.918804i
$166$	−5188.99	−	31455.6i	−0.0146155	−	0.0885988i
$167$			56631.1i			0.157132i	0.996909	+	0.0785659i	$0.0250341\pi$
$167$			56631.1i			0.157132i	−0.996909	+	0.0785659i	$0.974966\pi$
$168$	248911.	−	70905.3i	0.680411	−	0.193823i
$169$		−	225603.i		−	0.607615i
$170$	443451.	−	73152.7i	1.17686	−	0.194137i
$171$	409784.	−	154001.i	1.07168	−	0.402748i
$172$	−85119.8	−	42005.0i	−0.219386	−	0.108263i
$173$	−362078.	−	362078.i	−0.919785	−	0.919785i	0.0772285	−	0.997013i	$-0.475393\pi$
$173$	−362078.	−	362078.i	−0.919785	−	0.919785i	−0.997013	+	0.0772285i	$0.975393\pi$
$174$	256784.	−	232557.i	0.642976	−	0.582313i
$175$		−	1087.05i		−	0.00268320i
$176$	−689722.	−	91181.6i	−1.67839	−	0.221884i
$177$	−707519.	−	152992.i	−1.69748	−	0.367059i
$178$	150112.	−	209421.i	0.355111	−	0.495416i
$179$	−9144.20	+	9144.20i	−0.0213311	+	0.0213311i	−0.717692	−	0.696361i	$-0.754801\pi$
$179$	−9144.20	+	9144.20i	−0.0213311	+	0.0213311i	0.696361	+	0.717692i	$0.254801\pi$
$180$	336868.	−	276031.i	0.774959	−	0.635004i
$181$	−485846.	−	485846.i	−1.10231	−	1.10231i	−0.994132	−	0.108175i	$-0.965499\pi$
$181$	−485846.	−	485846.i	−1.10231	−	1.10231i	−0.108175	−	0.994132i	$-0.534501\pi$
$182$	65243.6	+	395506.i	0.146002	+	0.885064i
$183$	93194.4	−	430982.i	0.205713	−	0.951330i
$184$	123839.	−	407650.i	0.269658	−	0.887653i
$185$	−40417.1			−0.0868231
$186$	86409.3	+	4278.04i	0.183138	+	0.00906698i
$187$	−681514.	+	681514.i	−1.42518	+	1.42518i
$188$	110364.	+	325409.i	0.227736	+	0.671483i
$189$	−50724.4	−	343708.i	−0.103291	−	0.699899i
$190$	332521.	−	463901.i	0.668244	−	0.932268i
$191$	127222.			0.252335			0.126168	−	0.992009i	$-0.459732\pi$
$191$	127222.			0.252335			0.126168	+	0.992009i	$0.459732\pi$
$192$	510725.	+	8896.28i	0.999848	+	0.0174163i
$193$	431652.			0.834143			0.417072	−	0.908874i	$-0.363056\pi$
$193$	431652.			0.834143			0.417072	+	0.908874i	$0.363056\pi$
$194$	−302019.	+	421347.i	−0.576142	+	0.803776i
$195$	365381.	+	566995.i	0.688112	+	1.06781i
$196$	86279.3	+	254396.i	0.160423	+	0.473009i
$197$	629429.	−	629429.i	1.15553	−	1.15553i	0.170105	−	0.985426i	$-0.445589\pi$
$197$	629429.	−	629429.i	1.15553	−	1.15553i	0.985426	−	0.170105i	$-0.0544106\pi$
$198$	−242287.	+	901962.i	−0.439205	+	1.63503i
$199$	−652810.			−1.16857			−0.584284	−	0.811549i	$-0.698625\pi$
$199$	−652810.			−1.16857			−0.584284	+	0.811549i	$0.698625\pi$
$200$	623.614	−	2052.79i	0.00110240	−	0.00362886i
$201$	−509616.	−	110198.i	−0.889719	−	0.192391i
$202$	−19807.7	−	120074.i	−0.0341551	−	0.207048i
$203$	−254797.	−	254797.i	−0.433964	−	0.433964i
$204$	440192.	−	554051.i	0.740572	−	0.932126i
$205$	−576664.	+	576664.i	−0.958382	+	0.958382i
$206$	308883.	−	430923.i	0.507138	−	0.707508i
$207$	−520827.	−	236293.i	−0.844827	−	0.383288i
$208$	−103686.	+	784309.i	−0.166174	+	1.25698i
$209$			1.22397e6i			1.93824i
$210$	−304078.	−	335756.i	−0.475814	−	0.525382i
$211$	−723990.	−	723990.i	−1.11951	−	1.11951i	−0.991814	−	0.127692i	$-0.959243\pi$
$211$	−723990.	−	723990.i	−1.11951	−	1.11951i	−0.127692	−	0.991814i	$-0.540757\pi$
$212$	461082.	+	227535.i	0.704593	+	0.347703i
$213$	182334.	+	282944.i	0.275371	+	0.427318i
$214$	−93220.4	+	15377.9i	−0.139148	+	0.0229542i
$215$			166133.i			0.245109i
$216$	101389.	−	678163.i	0.147862	−	0.989008i
$217$		−	89985.6i		−	0.129725i
$218$	175933.	+	1.06650e6i	0.250730	+	1.51992i
$219$	337469.	+	523682.i	0.475471	+	0.737832i
$220$	391100.	+	1.15316e6i	0.544792	+	1.60633i
$221$	774976.	+	774976.i	1.06735	+	1.06735i
$222$	−47166.7	+	42716.7i	−0.0642322	+	0.0581721i
$223$		−	241192.i		−	0.324788i	−0.986726	−	0.162394i	$-0.948078\pi$
$223$		−	241192.i		−	0.324788i	0.986726	−	0.162394i	$-0.0519216\pi$
$224$	−17025.8	−	531020.i	−0.0226719	−	0.707116i
$225$	−2622.72	−	1189.90i	−0.00345378	−	0.00156694i
$226$	147959.	+	106056.i	0.192695	+	0.138122i
$227$	458697.	−	458697.i	0.590828	−	0.590828i	−0.347027	−	0.937855i	$-0.612809\pi$
$227$	458697.	−	458697.i	0.590828	−	0.590828i	0.937855	+	0.347027i	$0.112809\pi$
$228$	−102243.	−	892812.i	−0.130256	−	1.13743i
$229$	753332.	+	753332.i	0.949287	+	0.949287i	0.998775	−	0.0494878i	$-0.0157589\pi$
$229$	753332.	+	753332.i	0.949287	+	0.949287i	−0.0494878	+	0.998775i	$0.515759\pi$
$230$	−735737.	+	121369.i	−0.917072	+	0.151282i
$231$	949456.	+	205308.i	1.17070	+	0.253149i
$232$	−334991.	−	627334.i	−0.408614	−	0.765206i
$233$	1.05607e6			1.27439			0.637194	−	0.770703i	$-0.280095\pi$
$233$	1.05607e6			1.27439			0.637194	+	0.770703i	$0.280095\pi$
$234$	1.02565e6	+	275514.i	1.22451	+	0.328930i
$235$	425259.	−	425259.i	0.502324	−	0.502324i
$236$	−657584.	+	1.33254e6i	−0.768549	+	1.55741i
$237$	759794.	+	1.17904e6i	0.878668	+	1.36351i
$238$	−598211.	−	428794.i	−0.684561	−	0.490689i
$239$	−501852.			−0.568304			−0.284152	−	0.958779i	$-0.591712\pi$
$239$	−501852.			−0.568304			−0.284152	+	0.958779i	$0.591712\pi$
$240$	−381611.	−	808490.i	−0.427654	−	0.906038i
$241$	43881.3			0.0486673			0.0243336	−	0.999704i	$-0.492254\pi$
$241$	43881.3			0.0486673			0.0243336	+	0.999704i	$0.492254\pi$
$242$	−1.38187e6	−	990515.i	−1.51680	−	1.08723i
$243$	−884789.	−	253845.i	−0.961223	−	0.275774i
$244$	−811712.	−	400564.i	−0.872826	−	0.430722i
$245$	332456.	−	332456.i	0.353850	−	0.353850i
$246$	−63492.5	+	1.28244e6i	−0.0668936	+	1.35114i
$247$	1.39183e6			1.45159
$248$	51622.7	−	169930.i	0.0532981	−	0.175445i
$249$	−18568.0	+	85868.4i	−0.0189787	+	0.0877677i
$250$	973177.	−	160537.i	0.984785	−	0.162452i
$251$	−1.02706e6	−	1.02706e6i	−1.02899	−	1.02899i	−0.999567	−	0.0294232i	$-0.990633\pi$
$251$	−1.02706e6	−	1.02706e6i	−1.02899	−	1.02899i	−0.0294232	−	0.999567i	$-0.509367\pi$
$252$	−709718.	−	70447.6i	−0.704020	−	0.0698820i
$253$	1.13071e6	−	1.13071e6i	1.11058	−	1.11058i
$254$	576716.	+	413387.i	0.560890	+	0.402043i
$255$	−1.21054e6	−	261765.i	−1.16582	−	0.252093i
$256$	272483.	−	1.01255e6i	0.259860	−	0.965646i
$257$		−	592523.i		−	0.559593i	−0.960059	−	0.279797i	$-0.909733\pi$
$257$		−	592523.i		−	0.559593i	0.960059	−	0.279797i	$-0.0902670\pi$
$258$	175585.	+	193877.i	0.164224	+	0.181333i
$259$	46801.7	+	46801.7i	0.0433523	+	0.0433523i
$260$	1.31131e6	−	444734.i	1.20301	−	0.408007i
$261$	−893653.	+	335844.i	−0.812022	+	0.305166i
$262$	−67341.6	−	408224.i	−0.0606080	−	0.367405i
$263$		−	1.35262e6i		−	1.20583i	−0.797806	−	0.602914i	$-0.794006\pi$
$263$		−	1.35262e6i		−	1.20583i	0.797806	−	0.602914i	$-0.205994\pi$
$264$	1.67519e6	+	932389.i	1.47929	+	0.823355i
$265$		−	899915.i		−	0.787203i
$266$	−922231.	+	152133.i	−0.799164	+	0.131832i
$267$	−596846.	+	384617.i	−0.512370	+	0.330179i
$268$	−473649.	+	959812.i	−0.402828	+	0.816299i
$269$	252295.	+	252295.i	0.212583	+	0.212583i	0.805364	−	0.592781i	$-0.201970\pi$
$269$	252295.	+	252295.i	0.212583	+	0.212583i	−0.592781	+	0.805364i	$0.701970\pi$
$270$	−1.14293e6	+	366127.i	−0.954134	+	0.305648i
$271$			1.41735e6i			1.17234i	0.810188	+	0.586170i	$0.199365\pi$
$271$			1.41735e6i			1.17234i	−0.810188	+	0.586170i	$0.800635\pi$
$272$	−883682.	−	1.15292e6i	−0.724225	−	0.944882i
$273$	233463.	−	1.07966e6i	0.189589	−	0.876761i
$274$	369610.	−	515643.i	0.297418	−	0.414928i
$275$	5693.90	−	5693.90i	0.00454023	−	0.00454023i
$276$	−730331.	+	919236.i	−0.577094	+	0.726364i
$277$	1.70959e6	+	1.70959e6i	1.33873	+	1.33873i	0.897290	+	0.441441i	$0.145533\pi$
$277$	1.70959e6	+	1.70959e6i	1.33873	+	1.33873i	0.441441	+	0.897290i	$0.354467\pi$
$278$	187148.	+	1.13449e6i	0.145235	+	0.880415i
$279$	−217108.	−	98499.6i	−0.166981	−	0.0757572i
$280$	−820265.	+	438015.i	−0.625258	+	0.333883i
$281$	−2.16484e6			−1.63554			−0.817768	−	0.575549i	$-0.804789\pi$
$281$	−2.16484e6			−1.63554			−0.817768	+	0.575549i	$0.804789\pi$
$282$	46822.3	−	945732.i	0.0350615	−	0.708183i
$283$	−1.53264e6	+	1.53264e6i	−1.13756	+	1.13756i	−0.148676	+	0.988886i	$0.547501\pi$
$283$	−1.53264e6	+	1.53264e6i	−1.13756	+	1.13756i	−0.988886	+	0.148676i	$0.952499\pi$
$284$	654372.	−	221933.i	0.481425	−	0.163277i
$285$	−1.32211e6	+	851986.i	−0.964172	+	0.621327i
$286$	−1.72990e6	+	2.41339e6i	−1.25057	+	1.74467i
$287$	1.33552e6			0.957074
$288$	−1.29983e6	−	540184.i	−0.923432	−	0.383761i
$289$	−592512.			−0.417304
$290$	−725158.	+	1.01167e6i	−0.506335	+	0.706389i
$291$	1.20083e6	−	773833.i	0.831282	−	0.535691i
$292$	1.21113e6	−	410761.i	0.831257	−	0.281924i
$293$	1.16358e6	−	1.16358e6i	0.791820	−	0.791820i	−0.189970	−	0.981790i	$-0.560839\pi$
$293$	1.16358e6	−	1.16358e6i	0.791820	−	0.791820i	0.981790	+	0.189970i	$0.0608389\pi$
$294$	36604.4	−	739348.i	0.0246982	−	0.498862i
$295$	2.60079e6			1.74000
$296$	61532.0	+	115230.i	0.0408199	+	0.0764429i
$297$	1.53464e6	−	2.06602e6i	1.00952	−	1.35908i
$298$	−70647.6	−	428265.i	−0.0460847	−	0.279365i
$299$	−1.28578e6	−	1.28578e6i	−0.831740	−	0.831740i
$300$	−3677.71	+	4628.97i	−0.00235925	+	0.00296949i
$301$	192376.	−	192376.i	0.122387	−	0.122387i
$302$	1.65784e6	−	2.31285e6i	1.04598	−	1.45925i
$303$	−70878.6	+	327781.i	−0.0443515	+	0.205106i
$304$	−1.82883e6	−	241773.i	−1.13498	−	0.150046i
$305$			1.58426e6i			0.975161i
$306$	−1.68936e6	+	973941.i	−1.03138	+	0.594606i
$307$	−72039.0	−	72039.0i	−0.0436237	−	0.0436237i	0.684958	−	0.728582i	$-0.259820\pi$
$307$	−72039.0	−	72039.0i	−0.0436237	−	0.0436237i	−0.728582	+	0.684958i	$0.759820\pi$
$308$	882446.	−	1.78821e6i	0.530043	−	1.07409i
$309$	−1.22812e6	+	791421.i	−0.731720	+	0.471532i
$310$	−306694.	+	50593.0i	−0.181260	+	0.0299010i
$311$			2.66885e6i			1.56467i	0.622856	+	0.782336i	$0.285972\pi$
$311$			2.66885e6i			1.56467i	−0.622856	+	0.782336i	$0.714028\pi$
$312$	1.06025e6	−	1.90492e6i	0.616629	−	1.10787i
$313$		−	1.46949e6i		−	0.847821i	−0.905704	−	0.423911i	$-0.860657\pi$
$313$		−	1.46949e6i		−	0.847821i	0.905704	−	0.423911i	$-0.139343\pi$
$314$	156482.	+	948593.i	0.0895654	+	0.542945i
$315$	439131.	+	1.16849e6i	0.249355	+	0.663512i
$316$	2.72680e6	−	924806.i	1.53616	−	0.520994i
$317$	−483330.	−	483330.i	−0.270144	−	0.270144i	0.559014	−	0.829158i	$-0.311180\pi$
$317$	−483330.	−	483330.i	−0.270144	−	0.270144i	−0.829158	+	0.559014i	$0.811180\pi$
$318$	−951117.	−	1.05020e6i	−0.527432	−	0.582377i
$319$		−	2.66923e6i		−	1.46862i
$320$	−1.80028e6	+	356586.i	−0.982801	+	0.194666i
$321$	254476.	+	55027.1i	0.137843	+	0.0298067i
$322$	992502.	+	711420.i	0.533448	+	0.382372i
$323$	−1.80707e6	+	1.80707e6i	−0.963760	+	0.963760i
$324$	−946838.	+	1.63523e6i	−0.501087	+	0.865397i
$325$	−6474.75	−	6474.75i	−0.00340028	−	0.00340028i
$326$	−660573.	+	108970.i	−0.344252	+	0.0567886i
$327$	629547.	−	2.91137e6i	0.325581	−	1.50566i
$328$	2.52202e6	+	766158.i	1.29438	+	0.393218i
$329$	−984874.			−0.501638
$330$	165926.	−	3.35143e6i	0.0838744	−	1.69412i
$331$	−263011.	+	263011.i	−0.131949	+	0.131949i	−0.769997	−	0.638048i	$-0.779742\pi$
$331$	−263011.	+	263011.i	−0.131949	+	0.131949i	0.638048	+	0.769997i	$0.279742\pi$
$332$	161725.	+	79808.0i	0.0805251	+	0.0397375i
$333$	164148.	−	61688.7i	0.0811197	−	0.0304856i
$334$	−260374.	−	186634.i	−0.127712	−	0.0915430i
$335$	1.87331e6			0.912007
$336$	−494313.	+	1.37810e6i	−0.238866	+	0.665936i
$337$	−1.02316e6			−0.490761			−0.245381	−	0.969427i	$-0.578913\pi$
$337$	−1.02316e6			−0.490761			−0.245381	+	0.969427i	$0.578913\pi$
$338$	1.03726e6	+	743500.i	0.493850	+	0.353988i
$339$	−271737.	−	421680.i	−0.128425	−	0.199289i
$340$	−1.12511e6	+	2.27994e6i	−0.527833	+	1.06961i
$341$	471341.	−	471341.i	0.219507	−	0.219507i
$342$	−642436.	+	2.39160e6i	−0.297006	+	1.10566i
$343$	−2.31147e6			−1.06085
$344$	473648.	−	252924.i	0.215804	−	0.115238i
$345$	2.00844e6	+	434299.i	0.908469	+	0.196445i
$346$	2.85799e6	−	471461.i	1.28343	−	0.211717i
$347$	3.03929e6	+	3.03929e6i	1.35503	+	1.35503i	0.879935	+	0.475095i	$0.157586\pi$
$347$	3.03929e6	+	3.03929e6i	1.35503	+	1.35503i	0.475095	+	0.879935i	$0.342414\pi$
$348$	222971.	+	1.94704e6i	0.0986960	+	0.861838i
$349$	−2.74302e6	+	2.74302e6i	−1.20550	+	1.20550i	−0.233027	+	0.972470i	$0.574863\pi$
$349$	−2.74302e6	+	2.74302e6i	−1.20550	+	1.20550i	−0.972470	+	0.233027i	$0.925137\pi$
$350$	4997.92	+	3582.48i	0.00218082	+	0.00156320i
$351$	−2.34935e6	−	1.74509e6i	−1.01784	−	0.756051i
$352$	2.69228e6	−	2.87064e6i	1.15815	−	1.23487i
$353$			1.71893e6i			0.734212i	0.930179	+	0.367106i	$0.119651\pi$
$353$			1.71893e6i			0.734212i	−0.930179	+	0.367106i	$0.880349\pi$
$354$	3.03512e6	−	2.74877e6i	1.28727	−	1.16582i
$355$	−855164.	−	855164.i	−0.360146	−	0.360146i
$356$	468148.	+	1.38034e6i	0.195775	+	0.577247i
$357$	1.09866e6	+	1.70489e6i	0.456238	+	0.707987i
$358$	−11906.7	−	72178.1i	−0.00491001	−	0.0297644i
$359$			554998.i			0.227277i	0.993522	+	0.113638i	$0.0362505\pi$
$359$			554998.i			0.227277i	−0.993522	+	0.113638i	$0.963749\pi$
$360$	158924.	+	2.45851e6i	0.0646300	+	0.999808i
$361$			769333.i			0.310704i
$362$	3.83494e6	−	632621.i	1.53811	−	0.253730i
$363$	2.53790e6	+	3.93830e6i	1.01090	+	1.56871i
$364$	−2.03344e6	−	1.00346e6i	−0.804411	−	0.396961i
$365$	−1.58277e6	−	1.58277e6i	−0.621849	−	0.621849i
$366$	1.67440e6	+	1.84883e6i	0.653365	+	0.721430i
$367$			2.24575e6i			0.870353i	0.900345	+	0.435177i	$0.143314\pi$
$367$			2.24575e6i			0.870353i	−0.900345	+	0.435177i	$0.856686\pi$
$368$	1.46613e6	+	1.91283e6i	0.564356	+	0.736305i
$369$	1.46188e6	−	3.22221e6i	0.558915	−	1.23194i
$370$	133199.	−	185826.i	0.0505821	−	0.0705671i
$371$	−1.04207e6	+	1.04207e6i	−0.393064	+	0.393064i
$372$	−304441.	+	383186.i	−0.114063	+	0.143566i
$373$	−2.22950e6	−	2.22950e6i	−0.829727	−	0.829727i	0.157751	−	0.987479i	$-0.449576\pi$
$373$	−2.22950e6	−	2.22950e6i	−0.829727	−	0.829727i	−0.987479	+	0.157751i	$0.949576\pi$
$374$	−887400.	−	5.37941e6i	−0.328050	−	1.98864i
$375$	−2.65660e6	−	574457.i	−0.975548	−	0.210950i
$376$	−1.85985e6	−	565001.i	−0.678436	−	0.206101i
$377$	−3.03528e6			−1.09988
$378$	1.74744e6	+	899511.i	0.629031	+	0.323800i
$379$	2.39399e6	−	2.39399e6i	0.856101	−	0.856101i	−0.134775	−	0.990876i	$-0.543031\pi$
$379$	2.39399e6	−	2.39399e6i	0.856101	−	0.856101i	0.990876	+	0.134775i	$0.0430313\pi$
$380$	1.03702e6	+	3.05767e6i	0.368408	+	1.08626i
$381$	−1.05918e6	−	1.64363e6i	−0.373816	−	0.580085i
$382$	−419273.	+	584929.i	−0.147007	+	0.205090i
$383$	2.18012e6			0.759423			0.379711	−	0.925105i	$-0.376023\pi$
$383$	2.18012e6			0.759423			0.379711	+	0.925105i	$0.376023\pi$
$384$	−1.72405e6	+	2.31885e6i	−0.596654	+	0.802498i
$385$	−3.49013e6			−1.20002
$386$	−1.42256e6	+	1.98461e6i	−0.485961	+	0.677965i
$387$	−253569.	−	674725.i	−0.0860633	−	0.229007i
$388$	−941894.	−	2.77719e6i	−0.317631	−	0.936539i
$389$	−712093.	+	712093.i	−0.238596	+	0.238596i	−0.816268	−	0.577673i	$-0.803961\pi$
$389$	−712093.	+	712093.i	−0.238596	+	0.238596i	0.577673	+	0.816268i	$0.303961\pi$
$390$	−3.81103e6	−	188681.i	−1.26877	−	0.0628154i
$391$	3.33876e6			1.10444
$392$	−1.45398e6	−	441702.i	−0.477907	−	0.145182i
$393$	−240971.	+	1.11438e6i	−0.0787015	+	0.363959i
$394$	819580.	+	4.96829e6i	0.265981	+	1.61238i
$395$	−3.56351e6	−	3.56351e6i	−1.14917	−	1.14917i
$396$	−3.34848e6	−	4.08648e6i	−1.07302	−	1.30952i
$397$	−2.09187e6	+	2.09187e6i	−0.666128	+	0.666128i	−0.956817	−	0.290690i	$-0.906115\pi$
$397$	−2.09187e6	+	2.09187e6i	−0.666128	+	0.666128i	0.290690	+	0.956817i	$0.406115\pi$
$398$	2.15141e6	−	3.00143e6i	0.680793	−	0.949775i
$399$	2.51753e6	+	544385.i	0.791667	+	0.171188i
$400$	7382.96	+	9632.41i	0.00230718	+	0.00301013i
$401$			2.95994e6i			0.919226i	0.888119	+	0.459613i	$0.152012\pi$
$401$			2.95994e6i			0.919226i	−0.888119	+	0.459613i	$0.847988\pi$
$402$	2.18616e6	−	1.97990e6i	0.674708	−	0.611051i
$403$	−535980.	−	535980.i	−0.164394	−	0.164394i
$404$	617344.	+	304647.i	0.188180	+	0.0928633i
$405$	3.29990e6	+	219556.i	0.999684	+	0.0665131i
$406$	2.01119e6	−	331771.i	0.605534	−	0.0998903i
$407$			490291.i			0.146713i
$408$	1.09666e6	+	3.84981e6i	0.326154	+	1.14496i
$409$		−	1.25890e6i		−	0.372120i	−0.982538	−	0.186060i	$-0.940428\pi$
$409$		−	1.25890e6i		−	0.372120i	0.982538	−	0.186060i	$-0.0595719\pi$
$410$	−750875.	−	4.55180e6i	−0.220601	−	1.33728i
$411$	−1.46957e6	+	947015.i	−0.429127	+	0.276536i
$412$	963302.	+	2.84031e6i	0.279589	+	0.824371i
$413$	−3.01164e6	−	3.01164e6i	−0.868815	−	0.868815i
$414$	2.80285e6	−	1.61588e6i	0.803710	−	0.463350i
$415$		−	315646.i		−	0.0899663i
$416$	−3.26432e6	−	3.06149e6i	−0.924823	−	0.867362i
$417$	669677.	−	3.09695e6i	0.188593	−	0.872156i
$418$	−5.62748e6	−	4.03374e6i	−1.57534	−	1.12919i
$419$	−461608.	+	461608.i	−0.128451	+	0.128451i	−0.768410	−	0.639958i	$-0.778952\pi$
$419$	−461608.	+	461608.i	−0.128451	+	0.128451i	0.639958	+	0.768410i	$0.278952\pi$
$420$	2.54583e6	−	291544.i	0.704217	−	0.0806455i
$421$	−1.14797e6	−	1.14797e6i	−0.315665	−	0.315665i	0.531434	−	0.847100i	$-0.321653\pi$
$421$	−1.14797e6	−	1.14797e6i	−0.315665	−	0.315665i	−0.847100	+	0.531434i	$0.821653\pi$
$422$	5.71469e6	−	942708.i	1.56211	−	0.257689i
$423$	−1.07806e6	+	2.37621e6i	−0.292949	+	0.645704i
$424$	−2.56568e6	+	1.37005e6i	−0.693088	+	0.370103i
$425$	16812.9			0.00451513
$426$	−1.90180e6	−	94156.1i	−0.507738	−	0.0251376i
$427$	1.83452e6	−	1.83452e6i	0.486915	−	0.486915i
$428$	236515.	−	479280.i	0.0624094	−	0.126468i
$429$	6.87810e6	−	4.43236e6i	1.80437	−	1.16276i
$430$	−763829.	−	547508.i	−0.199216	−	0.142797i
$431$	−1.69174e6			−0.438672			−0.219336	−	0.975649i	$-0.570389\pi$
$431$	−1.69174e6			−0.438672			−0.219336	+	0.975649i	$0.570389\pi$
$432$	2.78386e6	+	2.70112e6i	0.717692	+	0.696361i
$433$	3.00352e6			0.769858			0.384929	−	0.922946i	$-0.374226\pi$
$433$	3.00352e6			0.769858			0.384929	+	0.922946i	$0.374226\pi$
$434$	413728.	+	296557.i	0.105436	+	0.0755761i
$435$	2.88324e6	−	1.85800e6i	0.730562	−	0.470786i
$436$	−5.48328e6	−	2.70589e6i	−1.38141	−	0.681701i
$437$	2.99814e6	−	2.99814e6i	0.751015	−	0.751015i
$438$	−3.51991e6	−	174267.i	−0.876690	−	0.0434041i
$439$	−1.25654e6			−0.311183			−0.155592	−	0.987821i	$-0.549728\pi$
$439$	−1.25654e6			−0.311183			−0.155592	+	0.987821i	$0.549728\pi$
$440$	−6.59082e6	−	2.00221e6i	−1.62296	−	0.493036i
$441$	−842796.	+	1.85765e6i	−0.206360	+	0.454850i
$442$	−6.11713e6	+	1.00910e6i	−1.48933	+	0.245684i
$443$	−1.04504e6	−	1.04504e6i	−0.253002	−	0.253002i	0.569198	−	0.822200i	$-0.307254\pi$
$443$	−1.04504e6	−	1.04504e6i	−0.253002	−	0.253002i	−0.822200	+	0.569198i	$0.807254\pi$
$444$	−40955.8	−	357636.i	−0.00985957	−	0.0860963i
$445$	1.80389e6	−	1.80389e6i	0.431828	−	0.431828i
$446$	1.10893e6	+	794874.i	0.263977	+	0.189217i
$447$	−252801.	+	1.16909e6i	−0.0598425	+	0.276745i
$448$	2.49759e6	+	1.67175e6i	0.587930	+	0.393530i
$449$		−	3.63163e6i		−	0.850130i	−0.905163	−	0.425065i	$-0.860251\pi$
$449$		−	3.63163e6i		−	0.850130i	0.905163	−	0.425065i	$-0.139749\pi$
$450$	14114.3	−	8137.06i	0.00328569	−	0.00189424i
$451$	6.99540e6	+	6.99540e6i	1.61946	+	1.61946i
$452$	−975230.	+	330753.i	−0.224523	+	0.0761478i
$453$	−6.59158e6	+	4.24772e6i	−1.50919	+	0.972546i
$454$	597270.	+	3.62064e6i	0.135998	+	0.824416i
$455$			3.96876e6i			0.898725i
$456$	4.44185e6	+	2.47228e6i	1.00035	+	0.556782i
$457$			7.75988e6i			1.73806i	0.494761	+	0.869029i	$0.335256\pi$
$457$			7.75988e6i			1.73806i	−0.494761	+	0.869029i	$0.664744\pi$
$458$	−5.94629e6	+	980914.i	−1.32459	+	0.218508i
$459$	5.31600e6	−	784535.i	1.17775	−	0.173812i
$460$	1.86668e6	−	3.78269e6i	0.411317	−	0.833502i
$461$	3.64403e6	+	3.64403e6i	0.798600	+	0.798600i	0.982875	−	0.184274i	$-0.0589935\pi$
$461$	3.64403e6	+	3.64403e6i	0.798600	+	0.798600i	−0.184274	+	0.982875i	$0.558994\pi$
$462$	−4.07298e6	+	3.68871e6i	−0.887785	+	0.804025i
$463$		−	3.95440e6i		−	0.857290i	−0.903473	−	0.428645i	$-0.858991\pi$
$463$		−	3.95440e6i		−	0.857290i	0.903473	−	0.428645i	$-0.141009\pi$
$464$	3.98830e6	+	527256.i	0.859989	+	0.113691i
$465$	837222.	+	181039.i	0.179560	+	0.0388275i
$466$	−3.48039e6	+	4.85549e6i	−0.742443	+	1.03578i
$467$	2.54946e6	−	2.54946e6i	0.540948	−	0.540948i	−0.382859	−	0.923807i	$-0.625060\pi$
$467$	2.54946e6	−	2.54946e6i	0.540948	−	0.540948i	0.923807	+	0.382859i	$0.125060\pi$
$468$	−4.64689e6	+	3.80768e6i	−0.980726	+	0.803611i
$469$	−2.16924e6	−	2.16924e6i	−0.455381	−	0.455381i
$470$	553730.	+	3.35671e6i	0.115626	+	0.700921i
$471$	559945.	−	2.58949e6i	0.116304	−	0.537852i
$472$	−3.95951e6	−	7.41493e6i	−0.818063	−	1.53198i
$473$	2.01532e6			0.414182
$474$	−7.92488e6	−	392353.i	−1.62012	−	0.0802105i
$475$	15097.7	−	15097.7i	0.00307027	−	0.00307027i
$476$	3.94294e6	−	1.33726e6i	0.797633	−	0.270520i
$477$	1.37354e6	+	3.65488e6i	0.276405	+	0.735492i
$478$	1.65391e6	−	2.30737e6i	0.331087	−	0.461900i
$479$	1.67054e6			0.332673			0.166336	−	0.986069i	$-0.446806\pi$
$479$	1.67054e6			0.332673			0.166336	+	0.986069i	$0.446806\pi$
$480$	4.97484e6	+	909933.i	0.985544	+	0.180263i
$481$	557529.			0.109876
$482$	−144616.	+	201754.i	−0.0283529	+	0.0395552i
$483$	−1.82280e6	−	2.82861e6i	−0.355526	−	0.551703i
$484$	9.10820e6	−	3.08908e6i	1.76734	−	0.599399i
$485$	−3.62936e6	+	3.62936e6i	−0.700609	+	0.700609i
$486$	4.08303e6	−	3.23143e6i	0.784136	−	0.620589i
$487$	−1.82089e6			−0.347906			−0.173953	−	0.984754i	$-0.555654\pi$
$487$	−1.82089e6			−0.347906			−0.173953	+	0.984754i	$0.555654\pi$
$488$	4.51677e6	−	2.41192e6i	0.858575	−	0.458472i
$489$	1.80325e6	+	389930.i	0.341023	+	0.0737419i
$490$	432891.	+	2.62418e6i	0.0814495	+	0.493746i
$491$	−3.77494e6	−	3.77494e6i	−0.706652	−	0.706652i	0.259177	−	0.965830i	$-0.416549\pi$
$491$	−3.77494e6	−	3.77494e6i	−0.706652	−	0.706652i	−0.965830	+	0.259177i	$0.916549\pi$
$492$	−5.68705e6	−	4.51835e6i	−1.05919	−	0.841525i
$493$	3.94084e6	−	3.94084e6i	0.730250	−	0.730250i
$494$	−4.58692e6	+	6.39922e6i	−0.845676	+	1.17980i
$495$	−3.82035e6	+	8.42065e6i	−0.700794	+	1.54466i
$496$	611161.	+	797370.i	0.111545	+	0.145531i
$497$			1.98051e6i			0.359654i
$498$	−333605.	−	368359.i	−0.0602781	−	0.0665576i
$499$	1.86012e6	+	1.86012e6i	0.334418	+	0.334418i	0.854262	−	0.519843i	$-0.174010\pi$
$499$	1.86012e6	+	1.86012e6i	0.334418	+	0.334418i	−0.519843	+	0.854262i	$0.674010\pi$
$500$	−2.46911e6	+	5.00345e6i	−0.441687	+	0.895045i
$501$	478195.	+	742059.i	0.0851158	+	0.132082i
$502$	8.10691e6	−	1.33733e6i	1.43581	−	0.236854i
$503$			4.42192e6i			0.779275i	0.920968	+	0.389638i	$0.127400\pi$
$503$			4.42192e6i			0.779275i	−0.920968	+	0.389638i	$0.872600\pi$
$504$	2.66285e6	−	3.03091e6i	0.466951	−	0.531492i
$505$		−	1.20490e6i		−	0.210244i
$506$	1.47230e6	+	8.92508e6i	0.255635	+	1.54966i
$507$	−1.90500e6	−	2.95616e6i	−0.329135	−	0.510750i
$508$	−3.80127e6	+	1.28921e6i	−0.653535	+	0.221649i
$509$	1.94358e6	+	1.94358e6i	0.332512	+	0.332512i	0.853540	−	0.521027i	$-0.174451\pi$
$509$	1.94358e6	+	1.94358e6i	0.332512	+	0.332512i	−0.521027	+	0.853540i	$0.674451\pi$
$510$	5.19300e6	−	4.70306e6i	0.884083	−	0.800673i
$511$			3.66559e6i			0.621000i
$512$	3.75743e6	+	4.58978e6i	0.633456	+	0.773779i
$513$	4.06917e6	−	5.47816e6i	0.682672	−	0.919055i
$514$	2.72425e6	+	1.95273e6i	0.454820	+	0.326012i
$515$	3.71185e6	−	3.71185e6i	0.616697	−	0.616697i
$516$	−1.47005e6	+	168347.i	−0.243056	+	0.0278343i
$517$	−5.15873e6	−	5.15873e6i	−0.848822	−	0.848822i
$518$	−369421.	+	60940.5i	−0.0604919	+	0.00997888i
$519$	−7.80183e6	−	1.68705e6i	−1.27139	−	0.274922i
$520$	−2.27679e6	+	7.49468e6i	−0.369245	+	1.21547i
$521$	1.21211e6			0.195635			0.0978175	−	0.995204i	$-0.468814\pi$
$521$	1.21211e6			0.195635			0.0978175	+	0.995204i	$0.468814\pi$
$522$	1.40102e6	−	5.21557e6i	0.225044	−	0.837772i
$523$	2.68918e6	−	2.68918e6i	0.429898	−	0.429898i	−0.458696	−	0.888593i	$-0.651683\pi$
$523$	2.68918e6	−	2.68918e6i	0.429898	−	0.429898i	0.888593	+	0.458696i	$0.151683\pi$
$524$	2.09883e6	+	1.03573e6i	0.333925	+	0.164785i
$525$	−9179.03	−	14244.0i	−0.00145345	−	0.00225545i
$526$	6.21894e6	+	4.45770e6i	0.980059	+	0.702500i
$527$	1.39177e6			0.218294
$528$	−9.80762e6	+	4.62924e6i	−1.53101	+	0.722644i
$529$	896952.			0.139357
$530$	4.13755e6	+	2.96577e6i	0.639814	+	0.458615i
$531$	−1.05628e7	+	3.96960e6i	−1.62570	+	0.610956i
$532$	2.33985e6	−	4.74153e6i	0.358434	−	0.726339i
$533$	7.95473e6	−	7.95473e6i	1.21285	−	1.21285i
$534$	198614.	−	4.01167e6i	0.0301409	−	0.608796i
$535$	−935434.			−0.141296
$536$	−2.85198e6	−	5.34087e6i	−0.428780	−	0.802971i
$537$	−42606.0	+	197034.i	−0.00637581	+	0.0294852i
$538$	−1.99145e6	+	328514.i	−0.296629	+	0.0489326i
$539$	−4.03295e6	−	4.03295e6i	−0.597931	−	0.597931i
$540$	2.08330e6	−	6.46146e6i	0.307445	−	0.953557i
$541$	−1.35306e6	+	1.35306e6i	−0.198758	+	0.198758i	−0.799467	−	0.600710i	$-0.794885\pi$
$541$	−1.35306e6	+	1.35306e6i	−0.198758	+	0.198758i	0.600710	+	0.799467i	$0.294885\pi$
$542$	−6.51656e6	−	4.67103e6i	−0.952840	−	0.682990i
$543$	−1.04687e7	−	2.26373e6i	−1.52368	−	0.329477i
$544$	8.21307e6	−	263331.i	1.18989	−	0.0381510i
$545$			1.07020e7i			1.54338i
$546$	4.19457e6	+	4.63155e6i	0.602152	+	0.664882i
$547$	1.32047e6	+	1.32047e6i	0.188695	+	0.188695i	0.795132	−	0.606437i	$-0.207402\pi$
$547$	1.32047e6	+	1.32047e6i	0.188695	+	0.188695i	−0.606437	+	0.795132i	$0.707402\pi$
$548$	1.15269e6	+	3.39872e6i	0.163969	+	0.483464i
$549$	−2.41806e6	−	6.43425e6i	−0.342402	−	0.911102i
$550$	7414.03	+	44943.8i	0.00104508	+	0.00633524i
$551$		−	7.07760e6i		−	0.993133i
$552$	−1.81950e6	−	6.38729e6i	−0.254158	−	0.892214i
$553$			8.25287e6i			1.14760i
$554$	−1.34944e7	+	2.22606e6i	−1.86801	+	0.308151i
$555$	−529600.	+	341283.i	−0.0729820	+	0.0470307i
$556$	−5.83281e6	−	2.87838e6i	−0.800185	−	0.394876i
$557$	3.02890e6	+	3.02890e6i	0.413663	+	0.413663i	0.883012	−	0.469350i	$-0.155512\pi$
$557$	3.02890e6	+	3.02890e6i	0.413663	+	0.413663i	−0.469350	+	0.883012i	$0.655512\pi$
$558$	1.16838e6	−	673585.i	0.158854	−	0.0915814i
$559$		−	2.29170e6i		−	0.310190i
$560$	689409.	−	5.21487e6i	0.0928981	−	0.702706i
$561$	−3.17542e6	+	1.46849e7i	−0.425984	+	1.96998i
$562$	7.13447e6	−	9.95331e6i	0.952842	−	1.32931i
$563$	−1.32658e6	+	1.32658e6i	−0.176385	+	0.176385i	−0.789778	−	0.613393i	$-0.789804\pi$
$563$	−1.32658e6	+	1.32658e6i	−0.176385	+	0.176385i	0.613393	+	0.789778i	$0.289804\pi$
$564$	4.19390e6	+	3.33204e6i	0.555162	+	0.441075i
$565$	1.27447e6	+	1.27447e6i	0.167962	+	0.167962i
$566$	−1.99566e6	−	1.20977e7i	−0.261845	−	1.58730i
$567$	−3.56694e6	−	4.07542e6i	−0.465949	−	0.532371i
$568$	−1.13617e6	+	3.74002e6i	−0.147766	+	0.486411i
$569$	−227816.			−0.0294988			−0.0147494	−	0.999891i	$-0.504695\pi$
$569$	−227816.			−0.0294988			−0.0147494	+	0.999891i	$0.504695\pi$
$570$	439961.	−	8.88648e6i	0.0567188	−	1.14563i
$571$	3.53487e6	−	3.53487e6i	0.453715	−	0.453715i	−0.442871	−	0.896585i	$-0.646040\pi$
$571$	3.53487e6	−	3.53487e6i	0.453715	−	0.453715i	0.896585	+	0.442871i	$0.146040\pi$
$572$	−5.39498e6	−	1.59072e7i	−0.689445	−	2.03284i
$573$	1.66703e6	−	1.07426e6i	0.212108	−	0.136686i
$574$	−4.40135e6	+	6.14033e6i	−0.557579	+	0.777879i
$575$	−27894.6			−0.00351844
$576$	6.76734e6	−	4.19600e6i	0.849889	−	0.526962i
$577$	−7.95737e6			−0.995015			−0.497508	−	0.867460i	$-0.665751\pi$
$577$	−7.95737e6			−0.995015			−0.497508	+	0.867460i	$0.665751\pi$
$578$	1.95269e6	−	2.72420e6i	0.243116	−	0.339172i
$579$	5.65610e6	−	3.64488e6i	0.701166	−	0.451842i
$580$	−2.26152e6	−	6.66814e6i	−0.279146	−	0.823066i
$581$	−365508.	+	365508.i	−0.0449218	+	0.0449218i
$582$	−399603.	+	8.07131e6i	−0.0489014	+	0.987727i
$583$	−1.09167e7			−1.33021
$584$	−2.10287e6	+	6.92216e6i	−0.255141	+	0.839865i
$585$	9.57545e6	+	4.34427e6i	1.15683	+	0.524840i
$586$	1.51510e6	+	9.18450e6i	0.182262	+	1.10487i
$587$	4.85164e6	+	4.85164e6i	0.581157	+	0.581157i	0.935221	−	0.354064i	$-0.115200\pi$
$587$	4.85164e6	+	4.85164e6i	0.581157	+	0.581157i	−0.354064	+	0.935221i	$0.615200\pi$
$588$	3.27867e6	+	2.60490e6i	0.391070	+	0.310704i
$589$	1.24978e6	−	1.24978e6i	0.148439	−	0.148439i
$590$	−8.57120e6	+	1.19577e7i	−1.01370	+	1.41422i
$591$	2.93273e6	−	1.35626e7i	0.345385	−	1.59725i
$592$	−732581.	−	96847.6i	−0.0859115	−	0.0113576i
$593$		−	8.16469e6i		−	0.953461i	−0.879049	−	0.476731i	$-0.841822\pi$
$593$		−	8.16469e6i		−	0.953461i	0.879049	−	0.476731i	$-0.158178\pi$
$594$	4.44141e6	+	1.38646e7i	0.516481	+	1.61228i
$595$	−5.15282e6	−	5.15282e6i	−0.596695	−	0.596695i
$596$	2.20187e6	+	1.08658e6i	0.253907	+	0.125298i
$597$	−8.55401e6	+	5.51234e6i	−0.982277	+	0.632995i
$598$	1.01490e7	−	1.67421e6i	1.16057	−	0.191451i
$599$		−	7.94415e6i		−	0.904649i	−0.891853	−	0.452325i	$-0.850595\pi$
$599$		−	7.94415e6i		−	0.904649i	0.891853	−	0.452325i	$-0.149405\pi$
$600$	−9162.39	−	32164.3i	−0.00103904	−	0.00364751i
$601$			3.63731e6i			0.410766i	0.978682	+	0.205383i	$0.0658440\pi$
$601$			3.63731e6i			0.410766i	−0.978682	+	0.205383i	$0.934156\pi$
$602$	250493.	+	1.51849e6i	0.0281712	+	0.170773i
$603$	−7.60821e6	+	2.85924e6i	−0.852097	+	0.320227i
$604$	5.17024e6	+	1.52445e7i	0.576658	+	1.70028i
$605$	−1.19030e7	−	1.19030e7i	−1.32211	−	1.32211i
$606$	−1.27346e6	−	1.40612e6i	−0.140865	−	0.155539i
$607$			1.20197e7i			1.32410i	0.749459	+	0.662050i	$0.230314\pi$
$607$			1.20197e7i			1.32410i	−0.749459	+	0.662050i	$0.769686\pi$
$608$	7.13872e6	−	7.61165e6i	0.783180	−	0.835065i
$609$	−5.49021e6	−	1.18719e6i	−0.599854	−	0.129711i
$610$	−7.28396e6	−	5.22110e6i	−0.792580	−	0.568116i
$611$	−5.86619e6	+	5.86619e6i	−0.635701	+	0.635701i
$612$	1.08959e6	−	1.09769e7i	0.117593	−	1.18468i
$613$	6.29398e6	+	6.29398e6i	0.676510	+	0.676510i	0.959209	−	0.282699i	$-0.0912297\pi$
$613$	6.29398e6	+	6.29398e6i	0.676510	+	0.676510i	−0.282699	+	0.959209i	$0.591230\pi$
$614$	568627.	−	93802.1i	0.0608705	−	0.0100413i
$615$	−2.68688e6	+	1.24256e7i	−0.286458	+	1.32474i
$616$	5.31347e6	+	9.95047e6i	0.564191	+	1.05655i
$617$	1.47627e7			1.56118			0.780589	−	0.625045i	$-0.214919\pi$
$617$	1.47627e7			1.56118			0.780589	+	0.625045i	$0.214919\pi$
$618$	408685.	−	8.25476e6i	0.0430445	−	0.869427i
$619$	1.76597e6	−	1.76597e6i	0.185250	−	0.185250i	−0.608389	−	0.793639i	$-0.708184\pi$
$619$	1.76597e6	−	1.76597e6i	0.185250	−	0.185250i	0.793639	+	0.608389i	$0.208184\pi$
$620$	778133.	−	1.57683e6i	0.0812970	−	0.164742i
$621$	−8.81986e6	+	1.30164e6i	−0.917768	+	0.135444i
$622$	−1.22706e7	−	8.79549e6i	−1.27172	−	0.911558i
$623$	−4.17770e6			−0.431238
$624$	5.26408e6	+	1.11526e7i	0.541204	+	1.14661i
$625$	9.80252e6			1.00378
$626$	6.75627e6	+	4.84285e6i	0.689082	+	0.493930i
$627$	1.03353e7	+	1.60382e7i	1.04991	+	1.62925i
$628$	−4.87706e6	−	2.40673e6i	−0.493468	−	0.243517i
$629$	−723864.	+	723864.i	−0.0729508	+	0.0729508i
$630$	−6.81958e6	−	1.83189e6i	−0.684552	−	0.183886i
$631$	5.12858e6			0.512771			0.256386	−	0.966575i	$-0.417468\pi$
$631$	5.12858e6			0.512771			0.256386	+	0.966575i	$0.417468\pi$
$632$	−4.73449e6	+	1.55849e7i	−0.471499	+	1.55207i
$633$	−1.56001e7	−	3.37332e6i	−1.54746	−	0.334618i
$634$	3.81508e6	−	629344.i	0.376947	−	0.0621820i
$635$	4.96767e6	+	4.96767e6i	0.488898	+	0.488898i
$636$	7.96303e6	−	911910.i	0.780613	−	0.0893942i
$637$	−4.58603e6	+	4.58603e6i	−0.447804	+	0.447804i
$638$	1.22724e7	+	8.79674e6i	1.19365	+	0.855599i
$639$	4.77837e6	+	2.16789e6i	0.462943	+	0.210032i
$640$	4.29355e6	−	9.45235e6i	0.414349	−	0.912199i
$641$		−	1.50741e7i		−	1.44906i	−0.689245	−	0.724529i	$-0.742058\pi$
$641$		−	1.50741e7i		−	1.44906i	0.689245	−	0.724529i	$-0.257942\pi$
$642$	−1.09165e6	+	988657.i	−0.104531	+	0.0946691i
$643$	−5.96492e6	−	5.96492e6i	−0.568954	−	0.568954i	0.362881	−	0.931835i	$-0.381793\pi$
$643$	−5.96492e6	−	5.96492e6i	−0.568954	−	0.568954i	−0.931835	+	0.362881i	$0.881793\pi$
$644$	−6.54180e6	+	2.21868e6i	−0.621560	+	0.210804i
$645$	1.40283e6	+	2.17690e6i	0.132771	+	0.206034i
$646$	−2.35299e6	−	1.42638e7i	−0.221839	−	1.34479i
$647$		−	9.41384e6i		−	0.884110i	−0.896988	−	0.442055i	$-0.854250\pi$
$647$		−	9.41384e6i		−	0.884110i	0.896988	−	0.442055i	$-0.145750\pi$
$648$	−4.39789e6	−	9.74236e6i	−0.411440	−	0.911437i
$649$		−	3.15497e7i		−	2.94024i
$650$	51107.3	−	8430.78i	0.00474460	−	0.000782680i
$651$	−759840.	−	1.17911e6i	−0.0702700	−	0.109044i
$652$	1.67598e6	−	3.39625e6i	0.154401	−	0.312882i
$653$	1.26980e7	+	1.26980e7i	1.16534	+	1.16534i	0.983290	+	0.182046i	$0.0582719\pi$
$653$	1.26980e7	+	1.26980e7i	1.16534	+	1.16534i	0.182046	+	0.983290i	$0.441728\pi$
$654$	1.13109e7	+	1.24892e7i	1.03408	+	1.14180i
$655$		−	4.09638e6i		−	0.373076i
$656$	−1.18342e7	+	9.07054e6i	−1.07369	+	0.822950i
$657$	8.84397e6	+	4.01241e6i	0.799344	+	0.362654i
$658$	3.24576e6	−	4.52817e6i	0.292248	−	0.407716i
$659$	1.88134e6	−	1.88134e6i	0.168754	−	0.168754i	−0.617678	−	0.786431i	$-0.711926\pi$
$659$	1.88134e6	−	1.88134e6i	0.168754	−	0.168754i	0.786431	+	0.617678i	$0.211926\pi$
$660$	1.48621e7	+	1.18079e7i	1.32806	+	1.05514i
$661$	−8.05275e6	−	8.05275e6i	−0.716870	−	0.716870i	0.251093	−	0.967963i	$-0.419210\pi$
$661$	−8.05275e6	−	8.05275e6i	−0.716870	−	0.716870i	−0.967963	+	0.251093i	$0.919210\pi$
$662$	−342467.	−	2.07603e6i	−0.0303720	−	0.184115i
$663$	1.66987e7	+	3.61089e6i	1.47536	+	0.319029i
$664$	−899916.	+	480548.i	−0.0792103	+	0.0422976i
$665$	−9.25427e6			−0.811499
$666$	−257343.	+	958009.i	−0.0224815	+	0.0836920i
$667$	−6.53832e6	+	6.53832e6i	−0.569051	+	0.569051i
$668$	1.71618e6	−	582049.i	0.148806	−	0.0504683i
$669$	−2.03663e6	−	3.16042e6i	−0.175933	−	0.273011i
$670$	−6.17371e6	+	8.61295e6i	−0.531324	+	0.741251i
$671$	1.92183e7			1.64782
$672$	−4.70704e6	−	6.81439e6i	−0.402091	−	0.582108i
$673$	3.33934e6			0.284199			0.142099	−	0.989852i	$-0.454615\pi$
$673$	3.33934e6			0.284199			0.142099	+	0.989852i	$0.454615\pi$
$674$	3.37195e6	−	4.70421e6i	0.285911	−	0.398875i
$675$	−44414.0	+	6554.61i	−0.00375198	+	0.000553717i
$676$	−6.83679e6	+	2.31873e6i	−0.575421	+	0.195156i
$677$	−1.04897e7	+	1.04897e7i	−0.879611	+	0.879611i	−0.993494	−	0.113883i	$-0.963671\pi$
$677$	−1.04897e7	+	1.04897e7i	−0.879611	+	0.879611i	0.113883	+	0.993494i	$0.463671\pi$
$678$	2.83430e6	+	140323.i	0.236794	+	0.0117235i
$679$	8.40537e6			0.699652
$680$	−6.77460e6	−	1.26867e7i	−0.561839	−	1.05215i
$681$	2.13723e6	−	9.88373e6i	0.176597	−	0.816682i
$682$	613733.	+	3.72045e6i	0.0505264	+	0.306291i
$683$	1.81105e6	+	1.81105e6i	0.148552	+	0.148552i	0.777471	−	0.628919i	$-0.216502\pi$
$683$	1.81105e6	+	1.81105e6i	0.148552	+	0.148552i	−0.628919	+	0.777471i	$0.716502\pi$
$684$	−8.87866e6	−	1.08355e7i	−0.725616	−	0.885542i
$685$	4.44160e6	−	4.44160e6i	0.361671	−	0.361671i
$686$	7.61770e6	−	1.06275e7i	0.618035	−	0.862222i
$687$	1.62323e7	+	3.51004e6i	1.31217	+	0.283740i
$688$	−398088.	+	3.01124e6i	−0.0320633	+	0.242535i
$689$			1.24138e7i			0.996222i
$690$	−8.61580e6	+	7.80293e6i	−0.688927	+	0.623928i
$691$	4.14088e6	+	4.14088e6i	0.329912	+	0.329912i	0.852553	−	0.522641i	$-0.175053\pi$
$691$	4.14088e6	+	4.14088e6i	0.329912	+	0.329912i	−0.522641	+	0.852553i	$0.675053\pi$
$692$	−7.25119e6	+	1.46940e7i	−0.575631	+	1.16647i
$693$	1.41747e7	−	5.32700e6i	1.12119	−	0.421357i
$694$	−2.39901e7	+	3.95746e6i	−1.89075	+	0.311902i
$695$			1.13842e7i			0.894004i
$696$	−9.68673e6	−	5.39152e6i	−0.757974	−	0.421879i
$697$			2.06559e7i			1.61051i
$698$	−3.57169e6	−	2.16516e7i	−0.277483	−	1.68210i
$699$	1.38381e7	−	8.91746e6i	1.07123	−	0.690316i
$700$	−32942.4	+	11172.5i	−0.00254103	+	0.000861801i
$701$	−9.72631e6	−	9.72631e6i	−0.747572	−	0.747572i	0.226451	−	0.974023i	$-0.427288\pi$
$701$	−9.72631e6	−	9.72631e6i	−0.747572	−	0.747572i	−0.974023	+	0.226451i	$0.927288\pi$
$702$	1.57660e7	−	5.05049e6i	1.20748	−	0.386804i
$703$			1.30003e6i			0.0992124i
$704$	4.32567e6	+	2.18388e7i	0.328944	+	1.66073i
$705$	1.98143e6	−	9.16323e6i	0.150144	−	0.694346i
$706$	−7.90314e6	−	5.66492e6i	−0.596744	−	0.427742i
$707$	−1.39524e6	+	1.39524e6i	−0.104978	+	0.104978i
$708$	2.63546e6	+	2.30135e7i	0.197594	+	1.72544i
$709$	1.41446e7	+	1.41446e7i	1.05675	+	1.05675i	0.998289	+	0.0584654i	$0.0186207\pi$
$709$	1.41446e7	+	1.41446e7i	1.05675	+	1.05675i	0.0584654	+	0.998289i	$0.481379\pi$
$710$	6.75008e6	−	1.11351e6i	0.502531	−	0.0828988i
$711$	1.99117e7	+	9.03372e6i	1.47719	+	0.670182i
$712$	−7.88924e6	−	2.39666e6i	−0.583224	−	0.177176i
$713$	−2.30911e6			−0.170107
$714$	−1.14593e7	−	567340.i	−0.841228	−	0.0416484i
$715$	−2.07882e7	+	2.07882e7i	−1.52073	+	1.52073i
$716$	371094.	+	183127.i	0.0270521	+	0.0133497i
$717$	−6.57596e6	+	4.23765e6i	−0.477706	+	0.307842i
$718$	−2.55172e6	−	1.82906e6i	−0.184723	−	0.132409i
$719$	−1.14205e7			−0.823876			−0.411938	−	0.911212i	$-0.635148\pi$
$719$	−1.14205e7			−0.823876			−0.411938	+	0.911212i	$0.635148\pi$
$720$	−1.18273e7	−	7.37162e6i	−0.850265	−	0.529946i
$721$	−8.59640e6			−0.615855
$722$	−3.53717e6	−	2.53542e6i	−0.252530	−	0.181012i
$723$	574993.	−	370535.i	0.0409088	−	0.0263623i
$724$	−9.72987e6	+	1.97168e7i	−0.689859	+	1.39795i
$725$	−32924.8	+	32924.8i	−0.00232637	+	0.00232637i
$726$	−2.64711e7	−	1.31056e6i	−1.86393	−	0.0922815i
$727$	−433845.			−0.0304438			−0.0152219	−	0.999884i	$-0.504845\pi$
$727$	−433845.			−0.0304438			−0.0152219	+	0.999884i	$0.504845\pi$
$728$	1.13151e7	−	6.04215e6i	0.791277	−	0.422535i
$729$	−1.37372e7	+	4.14495e6i	−0.957369	+	0.288869i
$730$	1.24933e7	−	2.06092e6i	0.867700	−	0.143138i
$731$	2.97541e6	+	2.97541e6i	0.205946	+	0.205946i
$732$	−1.40185e7	+	1.60538e6i	−0.966997	+	0.110739i
$733$	1.04774e7	−	1.04774e7i	0.720265	−	0.720265i	−0.248394	−	0.968659i	$-0.579903\pi$
$733$	1.04774e7	−	1.04774e7i	0.720265	−	0.720265i	0.968659	+	0.248394i	$0.0799027\pi$
$734$	−1.03253e7	−	7.40111e6i	−0.707395	−	0.507057i
$735$	1.54903e6	−	7.16356e6i	0.105765	−	0.489115i
$736$	−1.36265e7	+	436898.i	−0.927232	+	0.0297293i
$737$		−	2.27248e7i		−	1.54110i
$738$	9.99700e6	+	1.73405e7i	0.675661	+	1.17198i
$739$	−1.65834e7	−	1.65834e7i	−1.11702	−	1.11702i	−0.992176	−	0.124848i	$-0.960156\pi$
$739$	−1.65834e7	−	1.65834e7i	−1.11702	−	1.11702i	−0.124848	−	0.992176i	$-0.539844\pi$
$740$	415403.	+	1.22482e6i	0.0278862	+	0.0822230i
$741$	1.82376e7	−	1.17526e7i	1.22018	−	0.786302i
$742$	−1.35689e6	−	8.22542e6i	−0.0904760	−	0.548465i
$743$			1.43744e7i			0.955254i	0.878563	+	0.477627i	$0.158503\pi$
$743$			1.43744e7i			0.955254i	−0.878563	+	0.477627i	$0.841497\pi$
$744$	−758462.	−	2.66256e6i	−0.0502344	−	0.176347i
$745$		−	4.29749e6i		−	0.283677i
$746$	1.75982e7	−	2.90303e6i	1.15776	−	0.190988i
$747$	481772.	+	1.28195e6i	0.0315893	+	0.0840564i
$748$	2.76575e7	+	1.36484e7i	1.80742	+	0.891926i
$749$	1.08320e6	+	1.08320e6i	0.0705514	+	0.0705514i
$750$	1.13963e7	−	1.03211e7i	0.739795	−	0.669997i
$751$		−	1.48671e7i		−	0.961892i	−0.876750	−	0.480946i	$-0.840293\pi$
$751$		−	1.48671e7i		−	0.961892i	0.876750	−	0.480946i	$-0.159707\pi$
$752$	8.72706e6	−	6.68904e6i	0.562760	−	0.431339i
$753$	−2.21305e7	−	4.78543e6i	−1.42234	−	0.307563i
$754$	1.00031e7	−	1.39554e7i	0.640777	−	0.893949i
$755$	1.99222e7	−	1.99222e7i	1.27195	−	1.27195i
$756$	−9.89457e6	+	5.06978e6i	−0.629640	+	0.322615i
$757$	2.05183e7	+	2.05183e7i	1.30137	+	1.30137i	0.927468	+	0.373904i	$0.121981\pi$
$757$	2.05183e7	+	2.05183e7i	1.30137	+	1.30137i	0.373904	+	0.927468i	$0.378019\pi$
$758$	3.11722e6	+	1.88966e7i	0.197058	+	1.19456i
$759$	5.26839e6	−	2.43639e7i	0.331951	−	1.53512i
$760$	−1.74759e7	−	5.30897e6i	−1.09750	−	0.333408i
$761$	−1.81537e7			−1.13633			−0.568163	−	0.822916i	$-0.692346\pi$
$761$	−1.81537e7			−1.13633			−0.568163	+	0.822916i	$0.692346\pi$
$762$	1.10476e7	+	546955.i	0.689255	+	0.0341243i
$763$	1.23926e7	−	1.23926e7i	0.770637	−	0.770637i
$764$	−1.30757e6	−	3.85540e6i	−0.0810461	−	0.238966i
$765$	−1.80726e7	+	6.79186e6i	−1.11652	+	0.419600i
$766$	−7.18483e6	+	1.00236e7i	−0.442430	+	0.617235i
$767$	−3.58763e7			−2.20201
$768$	−4.97958e6	−	1.55687e7i	−0.304642	−	0.952467i
$769$	−387577.			−0.0236343			−0.0118171	−	0.999930i	$-0.503762\pi$
$769$	−387577.			−0.0236343			−0.0118171	+	0.999930i	$0.503762\pi$
$770$	1.15021e7	−	1.60466e7i	0.699119	−	0.975342i
$771$	−5.00328e6	−	7.76405e6i	−0.303123	−	0.470384i
$772$	−4.43648e6	−	1.30810e7i	−0.267914	−	0.789948i
$773$	−6.51221e6	+	6.51221e6i	−0.391994	+	0.391994i	−0.875398	−	0.483404i	$-0.839400\pi$
$773$	−6.51221e6	+	6.51221e6i	−0.391994	+	0.391994i	0.483404	+	0.875398i	$0.339400\pi$
$774$	3.93785e6	+	1.05779e6i	0.236269	+	0.0634672i
$775$	−11627.9			−0.000695422
$776$	1.58728e7	+	4.82197e6i	0.946237	+	0.287455i
$777$	1.00846e6	+	218066.i	0.0599244	+	0.0129579i
$778$	−927216.	−	5.62078e6i	−0.0549202	−	0.332926i
$779$	1.85487e7	+	1.85487e7i	1.09514	+	1.09514i
$780$	1.34272e7	−	1.69002e7i	0.790221	−	0.994617i
$781$	−1.03738e7	+	1.03738e7i	−0.608570	+	0.608570i
$782$	−1.10032e7	+	1.53506e7i	−0.643434	+	0.897655i
$783$	−8.87400e6	+	1.19467e7i	−0.517267	+	0.696377i
$784$	6.82257e6	−	5.22931e6i	0.396422	−	0.303846i
$785$			9.51879e6i			0.551325i
$786$	−4.32946e6	−	4.78048e6i	−0.249964	−	0.276004i
$787$	−6.00344e6	−	6.00344e6i	−0.345512	−	0.345512i	0.512923	−	0.858435i	$-0.328563\pi$
$787$	−6.00344e6	−	6.00344e6i	−0.345512	−	0.345512i	−0.858435	+	0.512923i	$0.828563\pi$
$788$	−2.55438e7	−	1.26054e7i	−1.46545	−	0.723168i
$789$	−1.14215e7	−	1.77238e7i	−0.653178	−	1.01360i
$790$	2.81280e7	−	4.64005e6i	1.60351	−	0.264518i
$791$		−	2.95160e6i		−	0.167732i
$792$	2.98237e7	−	1.92788e6i	1.68946	−	0.109211i
$793$		−	2.18539e7i		−	1.23409i
$794$	−2.72382e6	−	1.65118e7i	−0.153330	−	0.929485i
$795$	−7.59891e6	−	1.17919e7i	−0.426416	−	0.661709i
$796$	6.70951e6	+	1.97831e7i	0.375326	+	1.10665i
$797$	4.75627e6	+	4.75627e6i	0.265229	+	0.265229i	0.827174	−	0.561946i	$-0.189947\pi$
$797$	4.75627e6	+	4.75627e6i	0.265229	+	0.265229i	−0.561946	+	0.827174i	$0.689947\pi$
$798$	−1.07997e7	+	9.78081e6i	−0.600351	+	0.543710i
$799$		−	1.52327e7i		−	0.844129i
$800$	−68618.4	+	2200.08i	−0.00379067	+	0.000121538i
$801$	−4.57298e6	+	1.00796e7i	−0.251836	+	0.555086i
$802$	−1.36090e7	−	9.75482e6i	−0.747118	−	0.535530i
$803$	−1.92002e7	+	1.92002e7i	−1.05079	+	1.05079i
$804$	1.89828e6	+	1.65763e7i	0.103567	+	0.904372i
$805$	8.54913e6	+	8.54913e6i	0.464978	+	0.464978i
$806$	4.23066e6	−	697899.i	0.229388	−	0.0378404i
$807$	5.43631e6	+	1.17553e6i	0.293846	+	0.0635405i
$808$	−3.43521e6	+	1.83437e6i	−0.185108	+	0.0988460i
$809$	−3.67576e6			−0.197459			−0.0987293	−	0.995114i	$-0.531478\pi$
$809$	−3.67576e6			−0.197459			−0.0987293	+	0.995114i	$0.531478\pi$
$810$	−1.18846e7	+	1.44484e7i	−0.636463	+	0.773762i
$811$	−1.89660e7	+	1.89660e7i	−1.01257	+	1.01257i	−0.0126490	+	0.999920i	$0.504026\pi$
$811$	−1.89660e7	+	1.89660e7i	−1.01257	+	1.01257i	−0.999920	+	0.0126490i	$0.995974\pi$
$812$	−5.10272e6	+	1.03403e7i	−0.271589	+	0.550354i
$813$	1.19681e7	+	1.85720e7i	0.635038	+	0.985447i
$814$	−2.25422e6	−	1.61581e6i	−0.119243	−	0.0854730i
$815$	−6.62862e6			−0.349566
$816$	−2.13145e7	−	7.64534e6i	−1.12060	−	0.401950i
$817$	5.34372e6			0.280084
$818$	5.78806e6	+	4.14885e6i	0.302447	+	0.216792i
$819$	−6.05754e6	−	1.61186e7i	−0.315563	−	0.839687i
$820$	2.34024e7	+	1.15486e7i	1.21542	+	0.599786i
$821$	1.45385e7	−	1.45385e7i	0.752769	−	0.752769i	−0.222226	−	0.974995i	$-0.571332\pi$
$821$	1.45385e7	−	1.45385e7i	0.752769	−	0.752769i	0.974995	+	0.222226i	$0.0713322\pi$
$822$	489033.	−	9.87766e6i	0.0252441	−	0.509888i
$823$	1.64403e7			0.846076			0.423038	−	0.906112i	$-0.360964\pi$
$823$	1.64403e7			0.846076			0.423038	+	0.906112i	$0.360964\pi$
$824$	−1.62336e7	−	4.93157e6i	−0.832907	−	0.253027i
$825$	26529.9	−	122689.i	0.00135706	−	0.00627581i
$826$	2.37718e7	−	3.92145e6i	1.21231	−	0.199985i
$827$	7.75518e6	+	7.75518e6i	0.394301	+	0.394301i	0.876217	−	0.481916i	$-0.160059\pi$
$827$	7.75518e6	+	7.75518e6i	0.394301	+	0.394301i	−0.481916	+	0.876217i	$0.660059\pi$
$828$	−1.80775e6	+	1.82120e7i	−0.0916353	+	0.923171i
$829$	−5.15013e6	+	5.15013e6i	−0.260275	+	0.260275i	−0.825166	−	0.564891i	$-0.808918\pi$
$829$	−5.15013e6	+	5.15013e6i	−0.260275	+	0.260275i	0.564891	+	0.825166i	$0.308918\pi$
$830$	1.45125e6	+	1.04025e6i	0.0731218	+	0.0524132i
$831$	3.68373e7	+	7.96560e6i	1.85048	+	0.400144i
$832$	2.48338e7	−	4.91889e6i	1.24375	−	0.246353i
$833$		−	1.19085e7i		−	0.594626i
$834$	1.20319e7	+	1.32853e7i	0.598989	+	0.661389i
$835$	−2.24278e6	−	2.24278e6i	−0.111319	−	0.111319i
$836$	3.70920e7	−	1.25799e7i	1.83554	−	0.622531i
$837$	−3.67659e6	+	542591.i	−0.181397	+	0.0267706i
$838$	−601060.	−	3.64362e6i	−0.0295671	−	0.179235i
$839$		−	1.10670e7i		−	0.542782i	−0.962469	−	0.271391i	$-0.912516\pi$
$839$		−	1.10670e7i		−	0.542782i	0.962469	−	0.271391i	$-0.0874836\pi$
$840$	−7.04964e6	+	1.26658e7i	−0.344722	+	0.619348i
$841$		−	5.07639e6i		−	0.247494i
$842$	9.06133e6	−	1.49478e6i	0.440465	−	0.0726602i
$843$	−2.83667e7	+	1.82800e7i	−1.37480	+	0.885944i
$844$	−1.44991e7	+	2.93813e7i	−0.700623	+	1.41976i
$845$	8.93464e6	+	8.93464e6i	0.430462	+	0.430462i
$846$	−7.37226e6	−	1.27877e7i	−0.354140	−	0.614278i
$847$			2.75667e7i			1.32031i
$848$	2.15638e6	−	1.63114e7i	0.102976	−	0.778938i
$849$	−7.14113e6	+	3.30245e7i	−0.340015	+	1.57241i
$850$	−55408.8	+	77300.9i	−0.00263046	+	0.00366975i
$851$	1.20097e6	−	1.20097e6i	0.0568473	−	0.0568473i
$852$	6.70048e6	−	8.43361e6i	0.316233	−	0.398029i
$853$	−2.07391e7	−	2.07391e7i	−0.975926	−	0.975926i	0.0237908	−	0.999717i	$-0.492426\pi$
$853$	−2.07391e7	−	2.07391e7i	−0.975926	−	0.975926i	−0.999717	+	0.0237908i	$0.992426\pi$
$854$	2.38873e6	+	1.44805e7i	0.112079	+	0.679420i
$855$	−1.01299e7	+	2.23278e7i	−0.473902	+	1.04455i
$856$	1.42413e6	+	2.66695e6i	0.0664301	+	0.124403i
$857$	1.14091e7			0.530638			0.265319	−	0.964161i	$-0.414523\pi$
$857$	1.14091e7			0.530638			0.265319	+	0.964161i	$0.414523\pi$
$858$	−2.28885e6	+	4.62309e7i	−0.106145	+	2.14395i
$859$	−1.72835e7	+	1.72835e7i	−0.799190	+	0.799190i	−0.982968	−	0.183778i	$-0.941167\pi$
$859$	−1.72835e7	+	1.72835e7i	−0.799190	+	0.799190i	0.183778	+	0.982968i	$0.441167\pi$
$860$	5.03457e6	−	1.70749e6i	0.232122	−	0.0787250i
$861$	1.74998e7	−	1.12772e7i	0.804499	−	0.518432i
$862$	5.57531e6	−	7.77812e6i	0.255565	−	0.356538i
$863$	6.06582e6			0.277244			0.138622	−	0.990345i	$-0.455733\pi$
$863$	6.06582e6			0.277244			0.138622	+	0.990345i	$0.455733\pi$
$864$	−2.15935e7	+	3.89755e6i	−0.984098	+	0.177626i
$865$	2.86790e7			1.30324
$866$	−9.89843e6	+	1.38093e7i	−0.448510	+	0.625716i
$867$	−7.76391e6	+	5.00319e6i	−0.350778	+	0.226047i
$868$	−2.72697e6	+	924863.i	−0.122852	+	0.0416656i
$869$	−4.32282e7	+	4.32282e7i	−1.94186	+	1.94186i
$870$	−959463.	+	1.93795e7i	−0.0429764	+	0.868051i
$871$	−2.58412e7			−1.15416
$872$	3.05117e7	−	1.62930e7i	1.35886	−	0.725620i
$873$	9.20065e6	−	2.02796e7i	0.408585	−	0.900585i
$874$	3.90388e6	+	2.36653e7i	0.172869	+	1.04793i
$875$	−1.13081e7	−	1.13081e7i	−0.499310	−	0.499310i
$876$	1.24015e7	−	1.56092e7i	0.546026	−	0.687259i
$877$	−4.74451e6	+	4.74451e6i	−0.208301	+	0.208301i	−0.803545	−	0.595244i	$-0.797055\pi$
$877$	−4.74451e6	+	4.74451e6i	−0.208301	+	0.208301i	0.595244	+	0.803545i	$0.297055\pi$
$878$	4.14108e6	−	5.77722e6i	0.181291	−	0.252920i
$879$	5.42152e6	−	2.50721e7i	0.236673	−	1.09451i
$880$	3.09264e7	−	2.37042e7i	1.34624	−	1.03185i
$881$			1.85939e7i			0.807108i	0.914956	+	0.403554i	$0.132225\pi$
$881$			1.85939e7i			0.807108i	−0.914956	+	0.403554i	$0.867775\pi$
$882$	−5.76343e6	−	9.99704e6i	−0.249465	−	0.432713i
$883$	3.10754e7	+	3.10754e7i	1.34127	+	1.34127i	0.894800	+	0.446467i	$0.147318\pi$
$883$	3.10754e7	+	3.10754e7i	1.34127	+	1.34127i	0.446467	+	0.894800i	$0.352682\pi$
$884$	1.55202e7	−	3.14504e7i	0.667983	−	1.35362i
$885$	3.40791e7	−	2.19611e7i	1.46262	−	0.942533i
$886$	8.24885e6	−	1.36075e6i	0.353028	−	0.0582363i
$887$		−	2.47252e6i		−	0.105519i	−0.998607	−	0.0527595i	$-0.983198\pi$
$887$		−	2.47252e6i		−	0.105519i	0.998607	−	0.0527595i	$-0.0168017\pi$
$888$	1.77928e6	+	990327.i	0.0757204	+	0.0421450i
$889$		−	1.15048e7i		−	0.488231i
$890$	2.34885e6	+	1.42387e7i	0.0993986	+	0.602553i
$891$	2.66338e6	−	4.00304e7i	0.112393	−	1.68926i
$892$	−7.30920e6	+	2.47894e6i	−0.307580	+	0.104317i
$893$	−1.36786e7	−	1.36786e7i	−0.574003	−	0.574003i
$894$	−4.54200e6	−	5.01517e6i	−0.190066	−	0.209866i
$895$		−	724282.i		−	0.0302239i
$896$	−1.59173e7	+	5.97373e6i	−0.662369	+	0.248585i
$897$	−2.77051e7	−	5.99089e6i	−1.14969	−	0.248605i
$898$	1.66972e7	+	1.19684e7i	0.690959	+	0.495275i
$899$	−2.72552e6	+	2.72552e6i	−0.112473	+	0.112473i
$900$	−9103.25	+	91709.8i	−0.000374619	+	0.00377407i
$901$	−1.61173e7	−	1.61173e7i	−0.661426	−	0.661426i
$902$	−5.52169e7	+	9.10871e6i	−2.25973	+	0.372770i
$903$	896349.	−	4.14521e6i	0.0365812	−	0.169171i
$904$	1.69327e6	−	5.57386e6i	0.0689137	−	0.226848i
$905$	3.84823e7			1.56185
$906$	2.19350e6	−	4.43050e7i	0.0887803	−	1.79321i
$907$	1.67587e7	−	1.67587e7i	0.676429	−	0.676429i	−0.282761	−	0.959190i	$-0.591250\pi$
$907$	1.67587e7	−	1.67587e7i	0.676429	−	0.676429i	0.959190	+	0.282761i	$0.0912505\pi$
$908$	−1.86150e7	−	9.18616e6i	−0.749289	−	0.369760i
$909$	1.83904e6	+	4.89354e6i	0.0738215	+	0.196433i
$910$	−1.82472e7	−	1.30795e7i	−0.730455	−	0.523586i
$911$	−1.40900e7			−0.562490			−0.281245	−	0.959636i	$-0.590747\pi$
$911$	−1.40900e7			−0.562490			−0.281245	+	0.959636i	$0.590747\pi$
$912$	−2.60054e7	+	1.22747e7i	−1.03532	+	0.488678i
$913$	−3.82904e6			−0.152024
$914$	−3.56777e7	−	2.55735e7i	−1.41264	−	1.01257i
$915$	1.33775e7	+	2.07591e7i	0.528230	+	0.819703i
$916$	1.50867e7	−	3.05720e7i	0.594094	−	1.20389i
$917$	−4.74349e6	+	4.74349e6i	−0.186283	+	0.186283i
$918$	−1.39124e7	+	2.70269e7i	−0.544873	+	1.05850i
$919$	1.25123e7			0.488708			0.244354	−	0.969686i	$-0.421424\pi$
$919$	1.25123e7			0.488708			0.244354	+	0.969686i	$0.421424\pi$
$920$	1.12399e7	+	2.10488e7i	0.437816	+	0.819893i
$921$	−1.55225e6	−	335655.i	−0.0602995	−	0.0130390i
$922$	−2.87635e7	+	4.74489e6i	−1.11433	+	0.183823i
$923$	1.17965e7	+	1.17965e7i	0.455772	+	0.455772i
$924$	−3.53665e6	−	3.08830e7i	−0.136274	−	1.18998i
$925$	6047.72	−	6047.72i	0.000232401	−	0.000232401i
$926$	1.81812e7	+	1.30322e7i	0.696778	+	0.499446i
$927$	−9.40976e6	+	2.07406e7i	−0.359649	+	0.792723i
$928$	−1.55680e7	+	1.65994e7i	−0.593423	+	0.632736i
$929$		−	3.30393e7i		−	1.25600i	−0.778212	−	0.628002i	$-0.783873\pi$
$929$		−	3.30393e7i		−	1.25600i	0.778212	−	0.628002i	$-0.216127\pi$
$930$	−3.59152e6	+	3.25267e6i	−0.136167	+	0.123320i
$931$	−1.06936e7	−	1.06936e7i	−0.404342	−	0.404342i
$932$	−1.08542e7	−	3.20036e7i	−0.409314	−	1.20687i
$933$	2.25358e7	+	3.49710e7i	0.847558	+	1.31524i
$934$	3.31965e6	+	2.01237e7i	0.124516	+	0.754815i
$935$		−	5.39805e7i		−	2.01933i
$936$	−2.19226e6	−	3.39137e7i	−0.0817906	−	1.26528i
$937$			326782.i			0.0121593i	0.999982	+	0.00607966i	$0.00193523\pi$
$937$			326782.i			0.0121593i	−0.999982	+	0.00607966i	$0.998065\pi$
$938$	1.71225e7	−	2.82457e6i	0.635419	−	0.104820i
$939$	−1.24084e7	−	1.92552e7i	−0.459252	−	0.712663i
$940$	−1.72581e7	−	8.51651e6i	−0.637048	−	0.314371i
$941$	1.93794e7	+	1.93794e7i	0.713454	+	0.713454i	0.967256	−	0.253802i	$-0.0816813\pi$
$941$	1.93794e7	+	1.93794e7i	0.713454	+	0.713454i	−0.253802	+	0.967256i	$0.581681\pi$
$942$	1.00604e7	+	1.11084e7i	0.369392	+	0.407873i
$943$		−	3.42706e7i		−	1.25500i
$944$	4.71407e7	+	6.23203e6i	1.72173	+	0.227614i
$945$	1.56208e7	+	1.16031e7i	0.569017	+	0.422664i
$946$	−6.64171e6	+	9.26585e6i	−0.241297	+	0.336634i
$947$	−1.60815e7	+	1.60815e7i	−0.582710	+	0.582710i	−0.935647	−	0.352937i	$-0.885183\pi$
$947$	−1.60815e7	+	1.60815e7i	−0.582710	+	0.582710i	0.352937	+	0.935647i	$0.385183\pi$
$948$	2.79213e7	−	3.51433e7i	1.00905	−	1.27005i
$949$	2.18333e7	+	2.18333e7i	0.786962	+	0.786962i
$950$	19658.7	+	119171.i	0.000706717	+	0.00428411i
$951$	−1.04145e7	−	2.25200e6i	−0.373411	−	0.0807454i
$952$	−6.84605e6	+	2.25356e7i	−0.244820	+	0.805892i
$953$	1.72751e7			0.616154			0.308077	−	0.951361i	$-0.400315\pi$
$953$	1.72751e7			0.616154			0.308077	+	0.951361i	$0.400315\pi$
$954$	−2.13308e7	−	5.72992e6i	−0.758814	−	0.203834i
$955$	−5.03841e6	+	5.03841e6i	−0.178766	+	0.178766i
$956$	5.15799e6	+	1.52084e7i	0.182530	+	0.538194i
$957$	−2.25390e7	−	3.49759e7i	−0.795528	−	1.23450i
$958$	−5.50544e6	+	7.68065e6i	−0.193811	+	0.270386i
$959$	−1.02865e7			−0.361177
$960$	−2.05788e7	+	1.98741e7i	−0.720677	+	0.696000i
$961$	2.76666e7			0.966378
$962$	−1.83740e6	+	2.56336e6i	−0.0640126	+	0.0893041i
$963$	3.79914e6	−	1.42776e6i	0.132014	−	0.0496122i
$964$	−451008.	−	1.32980e6i	−0.0156312	−	0.0460887i
$965$	−1.70949e7	+	1.70949e7i	−0.590946	+	0.590946i
$966$	1.90124e7	+	941285.i	0.655532	+	0.0324547i
$967$	−2.32122e7			−0.798270			−0.399135	−	0.916892i	$-0.630690\pi$
$967$	−2.32122e7			−0.798270			−0.399135	+	0.916892i	$0.630690\pi$
$968$	−1.58144e7	+	5.20573e7i	−0.542455	+	1.78564i
$969$	−8.41978e6	+	3.89377e7i	−0.288066	+	1.33217i
$970$	−4.72579e6	−	2.86477e7i	−0.161267	−	0.977598i
$971$	−2.02884e7	−	2.02884e7i	−0.690556	−	0.690556i	0.271798	−	0.962354i	$-0.412382\pi$
$971$	−2.02884e7	−	2.02884e7i	−0.690556	−	0.690556i	−0.962354	+	0.271798i	$0.912382\pi$
$972$	1.40111e6	+	2.94221e7i	0.0475672	+	0.998868i
$973$	1.31825e7	−	1.31825e7i	0.446392	−	0.446392i
$974$	6.00096e6	−	8.37195e6i	0.202686	−	0.282767i
$975$	−139514.	−	30168.2i	−0.00470009	−	0.00101634i
$976$	−3.79621e6	+	2.87155e7i	−0.127563	+	0.964922i
$977$			6.91317e6i			0.231708i	0.993266	+	0.115854i	$0.0369604\pi$
$977$			6.91317e6i			0.231708i	−0.993266	+	0.115854i	$0.963040\pi$
$978$	−7.73559e6	+	7.00576e6i	−0.258611	+	0.234212i
$979$	−2.18826e7	−	2.18826e7i	−0.729698	−	0.729698i
$980$	−1.34919e7	−	6.65798e6i	−0.448753	−	0.221451i
$981$	−1.63345e7	−	4.34647e7i	−0.541917	−	1.44199i
$982$	2.97968e7	−	4.91535e6i	0.986031	−	0.162658i
$983$		−	3.27576e7i		−	1.08126i	−0.841262	−	0.540628i	$-0.818187\pi$
$983$		−	3.27576e7i		−	1.08126i	0.841262	−	0.540628i	$-0.181813\pi$
$984$	3.95164e7	−	1.12567e7i	1.30104	−	0.370615i
$985$			4.98550e7i			1.63726i
$986$	5.13137e6	+	3.11063e7i	0.168090	+	1.01896i
$987$	−1.29052e7	+	8.31630e6i	−0.421668	+	0.271730i
$988$	−1.43051e7	−	4.21787e7i	−0.466227	−	1.37468i
$989$	−4.93655e6	−	4.93655e6i	−0.160484	−	0.160484i
$990$	−2.61253e7	−	4.53161e7i	−0.847176	−	1.46948i
$991$			4.30427e7i			1.39224i	0.717924	+	0.696122i	$0.245093\pi$
$991$			4.30427e7i			1.39224i	−0.717924	+	0.696122i	$0.754907\pi$
$992$	−5.68023e6	+	182122.i	−0.183268	+	0.00587602i
$993$	−1.22546e6	+	5.66721e6i	−0.0394391	+	0.182388i
$994$	−9.10580e6	−	6.52698e6i	−0.292316	−	0.209530i
$995$	2.58535e7	−	2.58535e7i	0.827868	−	0.827868i
$996$	2.79304e6	−	319853.i	0.0892131	−	0.0102165i
$997$	1.14474e7	+	1.14474e7i	0.364727	+	0.364727i	0.865550	−	0.500823i	$-0.166969\pi$
$997$	1.14474e7	+	1.14474e7i	0.364727	+	0.364727i	−0.500823	+	0.865550i	$0.666969\pi$
$998$	−1.46825e7	+	2.42206e6i	−0.466632	+	0.0769767i
$999$	1.63000e6	−	2.19440e6i	0.0516742	−	0.0695669i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	48.6.k.a.11.12	✓	76
3.2	odd	2	inner	48.6.k.a.11.27	yes	76
4.3	odd	2		192.6.k.a.143.9		76
12.11	even	2		192.6.k.a.143.26		76
16.3	odd	4	inner	48.6.k.a.35.27	yes	76
16.13	even	4		192.6.k.a.47.26		76
48.29	odd	4		192.6.k.a.47.9		76
48.35	even	4	inner	48.6.k.a.35.12	yes	76

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
48.6.k.a.11.12	✓	76	1.1	even	1	trivial
48.6.k.a.11.27	yes	76	3.2	odd	2	inner
48.6.k.a.35.12	yes	76	48.35	even	4	inner
48.6.k.a.35.27	yes	76	16.3	odd	4	inner
192.6.k.a.47.9		76	48.29	odd	4
192.6.k.a.47.26		76	16.13	even	4
192.6.k.a.143.9		76	4.3	odd	2
192.6.k.a.143.26		76	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 48 = 2^{4} \cdot 3 \)
Weight:	\( k \)	\(=\)	\( 6 \)
Character orbit:	\([\chi]\)	\(=\)	48.k (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.29561 + 4.59771i) q^{2} +(13.1034 - 8.44402i) q^{3} +(-10.2779 - 30.3045i) q^{4} +(-39.6034 + 39.6034i) q^{5} +(-4.36045 + 88.0738i) q^{6} +91.7189 q^{7} +(173.203 + 52.6171i) q^{8} +(100.397 - 221.290i) q^{9} +O(q^{10})\)	\(q+(-3.29561 + 4.59771i) q^{2} +(13.1034 - 8.44402i) q^{3} +(-10.2779 - 30.3045i) q^{4} +(-39.6034 + 39.6034i) q^{5} +(-4.36045 + 88.0738i) q^{6} +91.7189 q^{7} +(173.203 + 52.6171i) q^{8} +(100.397 - 221.290i) q^{9} +(-51.5676 - 312.602i) q^{10} +(480.420 + 480.420i) q^{11} +(-390.567 - 310.305i) q^{12} +(546.304 - 546.304i) q^{13} +(-302.270 + 421.697i) q^{14} +(-184.526 + 853.349i) q^{15} +(-812.730 + 622.934i) q^{16} +1418.58i q^{17} +(686.560 + 1190.88i) q^{18} +(1273.86 + 1273.86i) q^{19} +(1607.20 + 793.122i) q^{20} +(1201.83 - 774.477i) q^{21} +(-3792.11 + 625.555i) q^{22} -2353.59i q^{23} +(2713.85 - 773.072i) q^{24} -11.8519i q^{25} +(711.343 + 4312.15i) q^{26} +(-553.042 - 3747.41i) q^{27} +(-942.678 - 2779.50i) q^{28} +(-2778.02 - 2778.02i) q^{29} +(-3315.33 - 3660.70i) q^{30} -981.102i q^{31} +(-185.630 - 5789.64i) q^{32} +(10351.8 + 2238.45i) q^{33} +(-6522.22 - 4675.09i) q^{34} +(-3632.38 + 3632.38i) q^{35} +(-7737.97 - 768.082i) q^{36} +(510.273 + 510.273i) q^{37} +(-10055.0 + 1658.69i) q^{38} +(2545.42 - 11771.4i) q^{39} +(-8943.25 + 4775.62i) q^{40} +14561.0 q^{41} +(-399.935 + 8078.03i) q^{42} +(2097.45 - 2097.45i) q^{43} +(9621.20 - 19496.6i) q^{44} +(4787.79 + 12739.9i) q^{45} +(10821.1 + 7756.52i) q^{46} -10738.0 q^{47} +(-5389.43 + 15025.2i) q^{48} -8394.64 q^{49} +(54.4917 + 39.0593i) q^{50} +(11978.5 + 18588.2i) q^{51} +(-22170.3 - 10940.6i) q^{52} +(-11361.6 + 11361.6i) q^{53} +(19052.1 + 9807.26i) q^{54} -38052.5 q^{55} +(15886.0 + 4825.99i) q^{56} +(27448.3 + 5935.36i) q^{57} +(21927.8 - 3617.26i) q^{58} +(-32835.5 - 32835.5i) q^{59} +(27756.9 - 3178.66i) q^{60} +(20001.6 - 20001.6i) q^{61} +(4510.82 + 3233.33i) q^{62} +(9208.30 - 20296.5i) q^{63} +(27230.9 + 18226.9i) q^{64} +43270.9i q^{65} +(-44407.2 + 40217.6i) q^{66} +(-23650.9 - 23650.9i) q^{67} +(42989.4 - 14580.0i) q^{68} +(-19873.8 - 30840.0i) q^{69} +(-4729.72 - 28671.5i) q^{70} +21593.2i q^{71} +(29032.8 - 33045.7i) q^{72} +39965.5i q^{73} +(-4027.75 + 664.427i) q^{74} +(-100.078 - 155.300i) q^{75} +(25511.1 - 51696.3i) q^{76} +(44063.6 + 44063.6i) q^{77} +(45732.9 + 50497.2i) q^{78} +89980.1i q^{79} +(7516.54 - 56857.1i) q^{80} +(-38889.9 - 44433.8i) q^{81} +(-47987.4 + 66947.3i) q^{82} +(-3985.09 + 3985.09i) q^{83} +(-35822.4 - 28460.8i) q^{84} +(-56180.5 - 56180.5i) q^{85} +(2731.10 + 16555.9i) q^{86} +(-59859.1 - 12943.8i) q^{87} +(57932.1 + 108489. i) q^{88} -45549.0 q^{89} +(-74353.1 - 19972.9i) q^{90} +(50106.4 - 50106.4i) q^{91} +(-71324.5 + 24190.0i) q^{92} +(-8284.44 - 12855.7i) q^{93} +(35388.1 - 49370.0i) q^{94} -100898. q^{95} +(-51320.3 - 74296.4i) q^{96} +91642.7 q^{97} +(27665.5 - 38596.1i) q^{98} +(154545. - 58079.6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 76 q - 2 q^{3} - 4 q^{4} - 116 q^{6} - 8 q^{7}+O(q^{10}) \) 76 * q - 2 * q^3 - 4 * q^4 - 116 * q^6 - 8 * q^7	\( 76 q - 2 q^{3} - 4 q^{4} - 116 q^{6} - 8 q^{7} - 104 q^{10} + 784 q^{12} - 4 q^{13} + 4560 q^{16} - 4076 q^{18} + 2356 q^{19} - 488 q^{21} + 2232 q^{22} + 2568 q^{24} - 3734 q^{27} - 12392 q^{28} + 628 q^{30} - 4 q^{33} + 26248 q^{34} - 30748 q^{36} - 4 q^{37} - 44908 q^{39} + 440 q^{40} + 11256 q^{42} + 652 q^{43} - 6252 q^{45} + 31320 q^{46} - 9168 q^{48} + 124844 q^{49} + 8664 q^{51} - 48448 q^{52} - 19480 q^{54} - 110056 q^{55} + 76088 q^{58} - 85408 q^{60} + 48076 q^{61} - 11080 q^{64} + 91492 q^{66} + 48924 q^{67} + 484 q^{69} + 86200 q^{70} - 16376 q^{72} - 69634 q^{75} + 30920 q^{76} + 13020 q^{78} - 4 q^{81} - 200768 q^{82} + 111760 q^{84} - 119904 q^{85} + 282180 q^{87} - 123616 q^{88} - 17680 q^{90} - 167288 q^{91} + 181660 q^{93} - 13200 q^{94} - 61688 q^{96} - 8 q^{97} - 287860 q^{99}+O(q^{100}) \) 76 * q - 2 * q^3 - 4 * q^4 - 116 * q^6 - 8 * q^7 - 104 * q^10 + 784 * q^12 - 4 * q^13 + 4560 * q^16 - 4076 * q^18 + 2356 * q^19 - 488 * q^21 + 2232 * q^22 + 2568 * q^24 - 3734 * q^27 - 12392 * q^28 + 628 * q^30 - 4 * q^33 + 26248 * q^34 - 30748 * q^36 - 4 * q^37 - 44908 * q^39 + 440 * q^40 + 11256 * q^42 + 652 * q^43 - 6252 * q^45 + 31320 * q^46 - 9168 * q^48 + 124844 * q^49 + 8664 * q^51 - 48448 * q^52 - 19480 * q^54 - 110056 * q^55 + 76088 * q^58 - 85408 * q^60 + 48076 * q^61 - 11080 * q^64 + 91492 * q^66 + 48924 * q^67 + 484 * q^69 + 86200 * q^70 - 16376 * q^72 - 69634 * q^75 + 30920 * q^76 + 13020 * q^78 - 4 * q^81 - 200768 * q^82 + 111760 * q^84 - 119904 * q^85 + 282180 * q^87 - 123616 * q^88 - 17680 * q^90 - 167288 * q^91 + 181660 * q^93 - 13200 * q^94 - 61688 * q^96 - 8 * q^97 - 287860 * q^99

Introduction

L-functions

Modular forms

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Database

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