LMFDB - Embedded newform 95.11.n.a.86.24

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,11,Mod(21,95)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("95.21"); S:= CuspForms(chi, 11); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(18)) chi = DirichletCharacter(H, H._module([0, 1])) N = Newforms(chi, 11, names="a")

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 11 $
Character orbit:	$[\chi]$	$=$	95.n (of order $18$, degree $6$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$60.3589390040$
Analytic rank:	$0$
Dimension:	$396$
Relative dimension:	$66$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			86.24
Character	$\chi$	$=$	95.86
Dual form			95.11.n.a.21.24

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-21.2997 + 3.75572i) q^{2} +(241.744 + 288.099i) q^{3} +(-522.672 + 190.237i) q^{4} +(-1313.26 - 477.988i) q^{5} +(-6231.09 - 5228.51i) q^{6} +(4896.59 - 8481.15i) q^{7} +(29598.5 - 17088.7i) q^{8} +(-14307.2 + 81140.2i) q^{9} +(29767.3 + 5248.78i) q^{10} +(21462.0 + 37173.2i) q^{11} +(-181160. - 104593. i) q^{12} +(-6261.57 + 7462.25i) q^{13} +(-72443.4 + 199037. i) q^{14} +(-179765. - 493899. i) q^{15} +(-129948. + 109040. i) q^{16} +(-316928. - 1.79739e6i) q^{17} -1.78200e6i q^{18} +(-803583. + 2.34208e6i) q^{19} +777335. q^{20} +(3.62713e6 - 639561. i) q^{21} +(-596747. - 711175. i) q^{22} +(4.54419e6 - 1.65395e6i) q^{23} +(1.20785e7 + 4.39621e6i) q^{24} +(1.49618e6 + 1.25544e6i) q^{25} +(105344. - 182461. i) q^{26} +(-7.60279e6 + 4.38947e6i) q^{27} +(-945883. + 5.36437e6i) q^{28} +(2.73575e7 + 4.82386e6i) q^{29} +(5.68389e6 + 9.84478e6i) q^{30} +(3.75157e7 + 2.16597e7i) q^{31} +(-2.01377e7 + 2.39992e7i) q^{32} +(-5.52127e6 + 1.51696e7i) q^{33} +(1.35010e7 + 3.70936e7i) q^{34} +(-1.04844e7 + 8.79745e6i) q^{35} +(-7.95789e6 - 4.51314e7i) q^{36} -2.08451e7i q^{37} +(8.31992e6 - 5.29037e7i) q^{38} -3.66356e6 q^{39} +(-4.70387e7 + 8.29420e6i) q^{40} +(-1.44927e7 - 1.72717e7i) q^{41} +(-7.48549e7 + 2.72450e7i) q^{42} +(6.80705e7 + 2.47756e7i) q^{43} +(-1.82893e7 - 1.53465e7i) q^{44} +(5.75731e7 - 9.97195e7i) q^{45} +(-9.05783e7 + 5.22954e7i) q^{46} +(4.15548e7 - 2.35669e8i) q^{47} +(-6.28284e7 - 1.10783e7i) q^{48} +(9.32844e7 + 1.61573e8i) q^{49} +(-3.65834e7 - 2.11214e7i) q^{50} +(4.41210e8 - 5.25814e8i) q^{51} +(1.85315e6 - 5.09149e6i) q^{52} +(1.02965e8 + 2.82895e8i) q^{53} +(1.45452e8 - 1.22049e8i) q^{54} +(-1.04168e7 - 5.90767e7i) q^{55} -3.34706e8i q^{56} +(-8.69010e8 + 3.34671e8i) q^{57} -6.00824e8 q^{58} +(-4.38977e8 + 7.74035e7i) q^{59} +(1.87916e8 + 2.23949e8i) q^{60} +(-3.78655e8 + 1.37819e8i) q^{61} +(-8.80422e8 - 3.20447e8i) q^{62} +(6.18105e8 + 5.18652e8i) q^{63} +(4.25647e8 - 7.37243e8i) q^{64} +(1.17899e7 - 6.80692e6i) q^{65} +(6.06290e7 - 3.43844e8i) q^{66} +(-1.45007e9 - 2.55687e8i) q^{67} +(5.07579e8 + 8.79152e8i) q^{68} +(1.57503e9 + 9.09344e8i) q^{69} +(1.90274e8 - 2.26760e8i) q^{70} +(-3.65558e8 + 1.00436e9i) q^{71} +(9.63109e8 + 2.64612e9i) q^{72} +(-1.52301e9 + 1.27795e9i) q^{73} +(7.82883e7 + 4.43995e8i) q^{74} +7.34544e8i q^{75} +(-2.55396e7 - 1.37701e9i) q^{76} +4.20362e8 q^{77} +(7.80328e7 - 1.37593e7i) q^{78} +(1.09471e9 + 1.30462e9i) q^{79} +(2.22776e8 - 8.10837e7i) q^{80} +(1.46923e9 + 5.34755e8i) q^{81} +(3.73558e8 + 3.13452e8i) q^{82} +(-2.86848e9 + 4.96835e9i) q^{83} +(-1.77413e9 + 1.02429e9i) q^{84} +(-4.42920e8 + 2.51193e9i) q^{85} +(-1.54293e9 - 2.72061e8i) q^{86} +(5.22375e9 + 9.04780e9i) q^{87} +(1.27049e9 + 7.33515e8i) q^{88} +(-2.51297e9 + 2.99484e9i) q^{89} +(-8.51773e8 + 2.34023e9i) q^{90} +(3.26281e7 + 8.96449e7i) q^{91} +(-2.06048e9 + 1.72895e9i) q^{92} +(2.82905e9 + 1.60443e10i) q^{93} +5.17576e9i q^{94} +(2.17480e9 - 2.69165e9i) q^{95} -1.17823e10 q^{96} +(5.73044e9 - 1.01043e9i) q^{97} +(-2.59376e9 - 3.09112e9i) q^{98} +(-3.32330e9 + 1.20958e9i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 396 q + 132 q^{3} - 1830 q^{4} + 3066 q^{6} - 95436 q^{9} - 93750 q^{10} + 2985984 q^{12} - 2110026 q^{13} + 1224960 q^{14} - 6809430 q^{16} + 532380 q^{17} - 7959948 q^{19} - 9580518 q^{21} - 31211136 q^{22}+ \cdots - 91369111794 q^{99}+O(q^{100}) $ 396 * q + 132 * q^3 - 1830 * q^4 + 3066 * q^6 - 95436 * q^9 - 93750 * q^10 + 2985984 * q^12 - 2110026 * q^13 + 1224960 * q^14 - 6809430 * q^16 + 532380 * q^17 - 7959948 * q^19 - 9580518 * q^21 - 31211136 * q^22 - 13532700 * q^23 + 21417984 * q^24 - 159720 * q^26 - 183408156 * q^27 + 144654336 * q^28 - 140983194 * q^29 - 119625000 * q^30 + 122776776 * q^31 + 393148500 * q^32 - 359004150 * q^33 - 578370492 * q^34 - 59812500 * q^35 - 640932912 * q^36 + 503327622 * q^38 + 1302975096 * q^39 - 96000000 * q^40 - 1194423528 * q^41 - 3390185778 * q^42 - 670104582 * q^43 + 2150443914 * q^44 + 3016431090 * q^46 - 151507770 * q^47 + 364629606 * q^48 - 8225668806 * q^49 + 3009006312 * q^51 - 2363609406 * q^52 - 4515798744 * q^53 - 9311985042 * q^54 + 952636938 * q^57 + 4039140864 * q^58 + 5041664862 * q^59 - 2779312500 * q^60 + 5128963260 * q^61 - 4033454760 * q^62 - 12114094326 * q^63 + 11990621196 * q^64 - 3916687500 * q^65 - 1806217476 * q^66 + 6379678362 * q^67 + 18479546670 * q^68 + 14567082498 * q^69 - 1621125000 * q^70 - 1788156144 * q^71 - 16923552852 * q^72 - 26786299530 * q^73 + 15012453948 * q^74 + 18346685868 * q^76 + 6003303804 * q^77 + 69668310660 * q^78 - 9538312266 * q^79 + 5565750000 * q^80 + 2012656020 * q^81 + 30701977302 * q^82 - 21873008760 * q^83 - 51655671540 * q^84 - 14398500000 * q^85 - 14081837694 * q^86 - 17926323216 * q^87 + 110136441168 * q^88 + 77332013844 * q^89 + 18945093750 * q^90 - 85587979728 * q^91 + 50548839756 * q^92 - 13898204208 * q^93 + 262589518236 * q^96 + 29548158042 * q^97 - 235808629536 * q^98 - 91369111794 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{17}{18}\right)$	$1$

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 $

$2$	−21.2997	+	3.75572i	−0.665617	+	0.117366i	−0.496240	−	0.868185i	$-0.665287\pi$
$2$	−21.2997	+	3.75572i	−0.665617	+	0.117366i	−0.169377	+	0.985551i	$0.554175\pi$
$3$	241.744	+	288.099i	0.994830	+	1.18559i	0.982613	+	0.185666i	$0.0594444\pi$
$3$	241.744	+	288.099i	0.994830	+	1.18559i	0.0122168	+	0.999925i	$0.496111\pi$
$4$	−522.672	+	190.237i	−0.510422	+	0.185778i
$5$	−1313.26	−	477.988i	−0.420243	−	0.152956i
$5$	−1313.26	−	477.988i	−0.420243	−	0.152956i
$6$	−6231.09	−	5228.51i	−0.801324	−	0.672391i
$7$	4896.59	−	8481.15i	0.291343	−	0.504620i	−0.682785	−	0.730619i	$-0.739231\pi$
$7$	4896.59	−	8481.15i	0.291343	−	0.504620i	0.974127	+	0.225999i	$0.0725647\pi$
$8$	29598.5	−	17088.7i	0.903275	−	0.521506i
$9$	−14307.2	+	81140.2i	−0.242294	+	1.37412i
$10$	29767.3	+	5248.78i	0.297673	+	0.0524878i
$11$	21462.0	+	37173.2i	0.133262	+	0.230817i	0.924932	−	0.380132i	$-0.124121\pi$
$11$	21462.0	+	37173.2i	0.133262	+	0.230817i	−0.791670	+	0.610949i	$0.790788\pi$
$12$	−181160.	−	104593.i	−0.728040	−	0.420334i
$13$	−6261.57	+	7462.25i	−0.0168642	+	0.0200980i	−0.774411	−	0.632683i	$-0.781953\pi$
$13$	−6261.57	+	7462.25i	−0.0168642	+	0.0200980i	0.757546	+	0.652781i	$0.226398\pi$
$14$	−72443.4	+	199037.i	−0.134697	+	0.370077i
$15$	−179765.	−	493899.i	−0.236727	−	0.650402i
$16$	−129948.	+	109040.i	−0.123928	+	0.103988i
$17$	−316928.	−	1.79739e6i	−0.223211	−	1.26589i	−0.866075	−	0.499913i	$-0.833365\pi$
$17$	−316928.	−	1.79739e6i	−0.223211	−	1.26589i	0.642864	−	0.765980i	$-0.277746\pi$
$18$		−	1.78200e6i		−	0.943072i
$19$	−803583.	+	2.34208e6i	−0.324536	+	0.945873i
$19$	−803583.	+	2.34208e6i	−0.324536	+	0.945873i
$20$	777335.			0.242917
$21$	3.62713e6	−	639561.i	0.888110	−	0.156598i
$22$	−596747.	−	711175.i	−0.115792	−	0.137995i
$23$	4.54419e6	−	1.65395e6i	0.706021	−	0.256971i	0.0360415	−	0.999350i	$-0.488525\pi$
$23$	4.54419e6	−	1.65395e6i	0.706021	−	0.256971i	0.669979	+	0.742380i	$0.266303\pi$
$24$	1.20785e7	+	4.39621e6i	1.51690	+	0.552106i
$25$	1.49618e6	+	1.25544e6i	0.153209	+	0.128558i
$26$	105344.	−	182461.i	0.00886629	−	0.0153569i
$27$	−7.60279e6	+	4.38947e6i	−0.529851	+	0.305910i
$28$	−945883.	+	5.36437e6i	−0.0549601	+	0.311694i
$29$	2.73575e7	+	4.82386e6i	1.33379	+	0.235182i	0.794666	−	0.607047i	$-0.207646\pi$
$29$	2.73575e7	+	4.82386e6i	1.33379	+	0.235182i	0.539120	+	0.842229i	$0.318757\pi$
$30$	5.68389e6	+	9.84478e6i	0.233905	+	0.405135i
$31$	3.75157e7	+	2.16597e7i	1.31040	+	0.756561i	0.982163	−	0.188034i	$-0.0602115\pi$
$31$	3.75157e7	+	2.16597e7i	1.31040	+	0.756561i	0.328239	+	0.944595i	$0.393545\pi$
$32$	−2.01377e7	+	2.39992e7i	−0.600151	+	0.715232i
$33$	−5.52127e6	+	1.51696e7i	−0.141081	+	0.387618i
$34$	1.35010e7	+	3.70936e7i	0.297146	+	0.816403i
$35$	−1.04844e7	+	8.79745e6i	−0.199619	+	0.167501i
$36$	−7.95789e6	−	4.51314e7i	−0.131609	−	0.746391i
$37$		−	2.08451e7i		−	0.300604i	−0.988640	−	0.150302i	$-0.951975\pi$
$37$		−	2.08451e7i		−	0.300604i	0.988640	−	0.150302i	$-0.0480247\pi$
$38$	8.31992e6	−	5.29037e7i	0.105003	−	0.667679i
$39$	−3.66356e6			−0.0406050
$40$	−4.70387e7	+	8.29420e6i	−0.459363	+	0.0809980i
$41$	−1.44927e7	−	1.72717e7i	−0.125092	−	0.149079i	0.699863	−	0.714277i	$-0.253244\pi$
$41$	−1.44927e7	−	1.72717e7i	−0.125092	−	0.149079i	−0.824955	+	0.565198i	$0.808800\pi$
$42$	−7.48549e7	+	2.72450e7i	−0.572762	+	0.208468i
$43$	6.80705e7	+	2.47756e7i	0.463038	+	0.168532i	0.562996	−	0.826460i	$-0.309649\pi$
$43$	6.80705e7	+	2.47756e7i	0.463038	+	0.168532i	−0.0999582	+	0.994992i	$0.531871\pi$
$44$	−1.82893e7	−	1.53465e7i	−0.110901	−	0.0930566i
$45$	5.75731e7	−	9.97195e7i	0.312002	−	0.540403i
$46$	−9.05783e7	+	5.22954e7i	−0.439780	+	0.253907i
$47$	4.15548e7	−	2.35669e8i	0.181189	−	1.02757i	−0.749566	−	0.661930i	$-0.769738\pi$
$47$	4.15548e7	−	2.35669e8i	0.181189	−	1.02757i	0.930755	−	0.365644i	$-0.119151\pi$
$48$	−6.28284e7	−	1.10783e7i	−0.246575	−	0.0434779i
$49$	9.32844e7	+	1.61573e8i	0.330239	+	0.571991i
$50$	−3.65834e7	−	2.11214e7i	−0.117067	−	0.0675885i
$51$	4.41210e8	−	5.25814e8i	1.27878	−	1.52399i
$52$	1.85315e6	−	5.09149e6i	0.00487409	−	0.0133915i
$53$	1.02965e8	+	2.82895e8i	0.246213	+	0.676465i	0.999817	+	0.0191362i	$0.00609161\pi$
$53$	1.02965e8	+	2.82895e8i	0.246213	+	0.676465i	−0.753604	+	0.657329i	$0.771686\pi$
$54$	1.45452e8	−	1.22049e8i	0.316775	−	0.265805i
$55$	−1.04168e7	−	5.90767e7i	−0.0206977	−	0.117382i
$56$		−	3.34706e8i		−	0.607748i
$57$	−8.69010e8	+	3.34671e8i	−1.44428	+	0.556216i
$58$	−6.00824e8			−0.915393
$59$	−4.38977e8	+	7.74035e7i	−0.614019	+	0.108268i	−0.472004	−	0.881596i	$-0.656469\pi$
$59$	−4.38977e8	+	7.74035e7i	−0.614019	+	0.108268i	−0.142015	+	0.989865i	$0.545358\pi$
$60$	1.87916e8	+	2.23949e8i	0.241661	+	0.288001i
$61$	−3.78655e8	+	1.37819e8i	−0.448326	+	0.163177i	−0.556309	−	0.830975i	$-0.687783\pi$
$61$	−3.78655e8	+	1.37819e8i	−0.448326	+	0.163177i	0.107983	+	0.994153i	$0.465561\pi$
$62$	−8.80422e8	−	3.20447e8i	−0.961020	−	0.349783i
$63$	6.18105e8	+	5.18652e8i	0.622816	+	0.522605i
$64$	4.25647e8	−	7.37243e8i	0.396415	−	0.686611i
$65$	1.17899e7	−	6.80692e6i	0.0101612	−	0.00586656i
$66$	6.06290e7	−	3.43844e8i	0.0484129	−	0.274563i
$67$	−1.45007e9	−	2.55687e8i	−1.07403	−	0.189380i	−0.391454	−	0.920198i	$-0.628028\pi$
$67$	−1.45007e9	−	2.55687e8i	−1.07403	−	0.189380i	−0.682573	+	0.730818i	$0.739139\pi$
$68$	5.07579e8	+	8.79152e8i	0.349107	+	0.604671i
$69$	1.57503e9	+	9.09344e8i	1.00703	+	0.581411i
$70$	1.90274e8	−	2.26760e8i	0.113211	−	0.134920i
$71$	−3.65558e8	+	1.00436e9i	−0.202612	+	0.556671i	−0.998831	−	0.0483371i	$-0.984608\pi$
$71$	−3.65558e8	+	1.00436e9i	−0.202612	+	0.556671i	0.796219	+	0.605008i	$0.206830\pi$
$72$	9.63109e8	+	2.64612e9i	0.497752	+	1.36756i
$73$	−1.52301e9	+	1.27795e9i	−0.734662	+	0.616455i	−0.931398	−	0.364002i	$-0.881410\pi$
$73$	−1.52301e9	+	1.27795e9i	−0.734662	+	0.616455i	0.196736	+	0.980456i	$0.436966\pi$
$74$	7.82883e7	+	4.43995e8i	0.0352808	+	0.200087i
$75$			7.34544e8i			0.309536i
$76$	−2.55396e7	−	1.37701e9i	−0.0100727	−	0.543086i
$77$	4.20362e8			0.155300
$78$	7.80328e7	−	1.37593e7i	0.0270274	−	0.00476566i
$79$	1.09471e9	+	1.30462e9i	0.355764	+	0.423983i	0.914009	−	0.405693i	$-0.132970\pi$
$79$	1.09471e9	+	1.30462e9i	0.355764	+	0.423983i	−0.558246	+	0.829676i	$0.688525\pi$
$80$	2.22776e8	−	8.10837e7i	0.0679857	−	0.0247448i
$81$	1.46923e9	+	5.34755e8i	0.421370	+	0.153366i
$82$	3.73558e8	+	3.13452e8i	0.100760	+	0.0845478i
$83$	−2.86848e9	+	4.96835e9i	−0.728217	+	1.26131i	0.229419	+	0.973328i	$0.426317\pi$
$83$	−2.86848e9	+	4.96835e9i	−0.728217	+	1.26131i	−0.957636	+	0.287981i	$0.907016\pi$
$84$	−1.77413e9	+	1.02429e9i	−0.424218	+	0.244922i
$85$	−4.42920e8	+	2.51193e9i	−0.0998231	+	0.566125i
$86$	−1.54293e9	−	2.72061e8i	−0.327986	−	0.0578327i
$87$	5.22375e9	+	9.04780e9i	1.04806	+	1.81529i
$88$	1.27049e9	+	7.33515e8i	0.240744	+	0.138994i
$89$	−2.51297e9	+	2.99484e9i	−0.450026	+	0.536320i	−0.942588	−	0.333957i	$-0.891616\pi$
$89$	−2.51297e9	+	2.99484e9i	−0.450026	+	0.536320i	0.492562	+	0.870277i	$0.336060\pi$
$90$	−8.51773e8	+	2.34023e9i	−0.144249	+	0.396320i
$91$	3.26281e7	+	8.96449e7i	0.00522859	+	0.0143654i
$92$	−2.06048e9	+	1.72895e9i	−0.312629	+	0.262327i
$93$	2.82905e9	+	1.60443e10i	0.406654	+	2.30625i
$94$			5.17576e9i			0.705236i
$95$	2.17480e9	−	2.69165e9i	0.281061	−	0.347857i
$96$	−1.17823e10			−1.44502
$97$	5.73044e9	−	1.01043e9i	0.667312	−	0.117665i	0.170278	−	0.985396i	$-0.445533\pi$
$97$	5.73044e9	−	1.01043e9i	0.667312	−	0.117665i	0.497034	+	0.867731i	$0.334422\pi$
$98$	−2.59376e9	−	3.09112e9i	−0.286945	−	0.341968i
$99$	−3.32330e9	+	1.20958e9i	−0.349457	+	0.127192i
$100$	−1.02084e9	−	3.71556e8i	−0.102084	−	0.0371556i
$101$	−8.39892e8	−	7.04753e8i	−0.0799128	−	0.0670548i	0.601956	−	0.798529i	$-0.294388\pi$
$101$	−8.39892e8	−	7.04753e8i	−0.0799128	−	0.0670548i	−0.681869	+	0.731474i	$0.738833\pi$
$102$	−7.42285e9	+	1.28568e10i	−0.672310	+	1.16448i
$103$	5.67863e9	−	3.27856e9i	0.489844	−	0.282811i	−0.234666	−	0.972076i	$-0.575400\pi$
$103$	5.67863e9	−	3.27856e9i	0.489844	−	0.282811i	0.724510	+	0.689265i	$0.242066\pi$
$104$	−5.78129e7	+	3.27873e8i	−0.00475180	+	0.0269488i
$105$	−5.06907e9	−	8.93813e8i	−0.397175	−	0.0700326i
$106$	−3.25561e9	−	5.63888e9i	−0.243278	−	0.421370i
$107$	1.17603e10	+	6.78982e9i	0.838495	+	0.484105i	0.856752	−	0.515728i	$-0.172479\pi$
$107$	1.17603e10	+	6.78982e9i	0.838495	+	0.484105i	−0.0182576	+	0.999833i	$0.505812\pi$
$108$	3.13872e9	−	3.74058e9i	0.213616	−	0.254578i
$109$	−1.88390e9	+	5.17597e9i	−0.122440	+	0.336402i	−0.985737	−	0.168295i	$-0.946174\pi$
$109$	−1.88390e9	+	5.17597e9i	−0.122440	+	0.336402i	0.863296	+	0.504698i	$0.168396\pi$
$110$	4.43751e8	+	1.21920e9i	0.0275534	+	0.0757025i
$111$	6.00545e9	−	5.03917e9i	0.356394	−	0.299050i
$112$	2.88477e8	+	1.63603e9i	0.0163690	+	0.0928330i
$113$		−	3.06173e10i		−	1.66178i	−0.556434	−	0.830892i	$-0.687831\pi$
$113$		−	3.06173e10i		−	1.66178i	0.556434	−	0.830892i	$-0.312169\pi$
$114$	1.72528e10	−	1.03922e10i	0.896055	−	0.539736i
$115$	−6.75828e9			−0.336006
$116$	−1.52167e10	+	2.68311e9i	−0.724485	+	0.127746i
$117$	−5.15902e8	−	6.14829e8i	−0.0235309	−	0.0280430i
$118$	9.05939e9	−	3.29735e9i	0.395994	−	0.144130i
$119$	−1.67958e10	−	6.11316e9i	−0.703826	−	0.256172i
$120$	−1.37609e10	−	1.15467e10i	−0.553018	−	0.464037i
$121$	1.20475e10	−	2.08668e10i	0.464482	−	0.804507i
$122$	7.54763e9	−	4.35763e9i	0.279262	−	0.161232i
$123$	1.47244e9	−	8.35065e9i	0.0523014	−	0.296616i
$124$	−2.37289e10	−	4.18404e9i	−0.809410	−	0.142721i
$125$	−1.36479e9	−	2.36388e9i	−0.0447214	−	0.0774597i
$126$	−1.51134e10	−	8.72572e9i	−0.475893	−	0.274757i
$127$	−3.97241e10	+	4.73414e10i	−1.20236	+	1.43292i	−0.330059	+	0.943960i	$0.607068\pi$
$127$	−3.97241e10	+	4.73414e10i	−1.20236	+	1.43292i	−0.872306	+	0.488961i	$0.837376\pi$
$128$	4.67492e9	−	1.28442e10i	0.136058	−	0.373816i
$129$	9.31777e9	+	2.56004e10i	0.260834	+	0.716634i
$130$	−2.25558e8	+	1.89265e8i	−0.00607492	+	0.00509746i
$131$	2.82997e9	+	1.60496e10i	0.0733543	+	0.416013i	0.999267	+	0.0382757i	$0.0121865\pi$
$131$	2.82997e9	+	1.60496e10i	0.0733543	+	0.416013i	−0.925913	+	0.377737i	$0.876702\pi$
$132$		−	8.97905e9i		−	0.224058i
$133$	1.59287e10	+	1.82835e10i	0.382756	+	0.439340i
$134$	3.18464e10			0.737117
$135$	1.20826e10	−	2.13048e9i	0.269457	−	0.0475126i
$136$	−4.00956e10	−	4.77841e10i	−0.861792	−	1.02704i
$137$	3.50907e8	−	1.27720e8i	0.00727091	−	0.00264639i	−0.338382	−	0.941009i	$-0.609880\pi$
$137$	3.50907e8	−	1.27720e8i	0.00727091	−	0.00264639i	0.345653	+	0.938362i	$0.387657\pi$
$138$	−3.69630e10	−	1.34534e10i	−0.738536	−	0.268805i
$139$	6.56886e10	+	5.51193e10i	1.26595	+	1.06226i	0.995022	+	0.0996567i	$0.0317745\pi$
$139$	6.56886e10	+	5.51193e10i	1.26595	+	1.06226i	0.270926	+	0.962600i	$0.412670\pi$
$140$	3.80629e9	−	6.59269e9i	0.0707721	−	0.122581i
$141$	7.79415e10	−	4.49996e10i	1.39854	−	0.807445i
$142$	4.01419e9	−	2.27656e10i	0.0695274	−	0.394309i
$143$	−4.11782e8	−	7.26082e7i	−0.00688631	−	0.00121424i
$144$	−6.98830e9	−	1.21041e10i	−0.112865	−	0.195488i
$145$	−3.36218e10	−	1.94115e10i	−0.524542	−	0.302845i
$146$	2.76400e10	−	3.29401e10i	0.416653	−	0.496547i
$147$	−2.39982e10	+	6.59344e10i	−0.349616	+	0.960562i
$148$	3.96551e9	+	1.08951e10i	0.0558458	+	0.153435i
$149$	8.15355e9	−	6.84164e9i	0.111024	−	0.0931599i	−0.585586	−	0.810610i	$-0.699136\pi$
$149$	8.15355e9	−	6.84164e9i	0.111024	−	0.0931599i	0.696609	+	0.717451i	$0.254691\pi$
$150$	−2.75874e9	−	1.56456e10i	−0.0363291	−	0.206032i
$151$			5.77891e9i			0.0736142i	0.999322	+	0.0368071i	$0.0117187\pi$
$151$			5.77891e9i			0.0736142i	−0.999322	+	0.0368071i	$0.988281\pi$
$152$	1.62382e10	+	8.30542e10i	0.200134	+	1.02363i
$153$	1.50375e11			1.79357
$154$	−8.95361e9	+	1.57876e9i	−0.103370	+	0.0182269i
$155$	−3.89148e10	−	4.63769e10i	−0.434967	−	0.518373i
$156$	1.91484e9	−	6.96944e8i	0.0207257	−	0.00754353i
$157$	6.32552e10	+	2.30230e10i	0.663129	+	0.241359i	0.651587	−	0.758574i	$-0.274104\pi$
$157$	6.32552e10	+	2.30230e10i	0.663129	+	0.241359i	0.0115422	+	0.999933i	$0.496326\pi$
$158$	−2.82167e10	−	2.36766e10i	−0.286564	−	0.240456i
$159$	−5.66104e10	+	9.80522e10i	−0.557071	+	0.964876i
$160$	3.79174e10	−	2.18916e10i	0.361609	−	0.208775i
$161$	8.22366e9	−	4.66387e10i	0.0760214	−	0.431139i
$162$	−3.33026e10	−	5.87214e9i	−0.298471	−	0.0526285i
$163$	−3.25291e10	−	5.63420e10i	−0.282705	−	0.489660i	0.689345	−	0.724433i	$-0.257898\pi$
$163$	−3.25291e10	−	5.63420e10i	−0.282705	−	0.489660i	−0.972050	+	0.234774i	$0.924565\pi$
$164$	1.08606e10	+	6.27039e9i	0.0915452	+	0.0528537i
$165$	1.45017e10	−	1.72825e10i	0.118577	−	0.141314i
$166$	4.24381e10	−	1.16598e11i	0.336679	−	0.925017i
$167$	7.12592e10	+	1.95783e11i	0.548604	+	1.50728i	0.835596	+	0.549344i	$0.185122\pi$
$167$	7.12592e10	+	1.95783e11i	0.548604	+	1.50728i	−0.286993	+	0.957933i	$0.592655\pi$
$168$	9.64284e10	−	8.09130e10i	0.720540	−	0.604605i
$169$	2.39224e10	+	1.35671e11i	0.173529	+	0.984130i
$170$		−	5.51669e10i		−	0.388538i
$171$	−1.78539e11	−	9.87114e10i	−1.22111	−	0.675129i
$172$	−4.02917e10			−0.267654
$173$	−2.56375e10	+	4.52058e9i	−0.165442	+	0.0291718i	−0.255755	−	0.966742i	$-0.582324\pi$
$173$	−2.56375e10	+	4.52058e9i	−0.165442	+	0.0291718i	0.0903137	+	0.995913i	$0.471213\pi$
$174$	−1.45245e11	−	1.73097e11i	−0.910660	−	1.08528i
$175$	1.79738e10	−	6.54193e9i	0.109509	−	0.0398580i
$176$	−6.84231e9	−	2.49040e9i	−0.0405172	−	0.0147470i
$177$	−1.28420e11	−	1.07757e11i	−0.739206	−	0.620267i
$178$	4.22778e10	−	7.32274e10i	0.236599	−	0.409801i
$179$	−2.93088e10	+	1.69215e10i	−0.159490	+	0.0920816i	−0.577621	−	0.816305i	$-0.696019\pi$
$179$	−2.93088e10	+	1.69215e10i	−0.159490	+	0.0920816i	0.418131	+	0.908387i	$0.362685\pi$
$180$	−1.11215e10	+	6.30731e10i	−0.0588573	+	0.333796i
$181$	−2.80569e10	−	4.94718e9i	−0.144426	−	0.0254663i	0.100968	−	0.994890i	$-0.467806\pi$
$181$	−2.80569e10	−	4.94718e9i	−0.144426	−	0.0254663i	−0.245394	+	0.969423i	$0.578917\pi$
$182$	−1.03165e9	−	1.78687e9i	−0.00516625	−	0.00894821i
$183$	−1.31243e11	−	7.57731e10i	−0.639470	−	0.369198i
$184$	1.06237e11	−	1.26609e11i	0.503719	−	0.600309i
$185$	−9.96370e9	+	2.73750e10i	−0.0459793	+	0.126327i
$186$	−1.20516e11	−	3.31115e11i	−0.541352	−	1.48735i
$187$	6.00128e10	−	5.03567e10i	0.262444	−	0.220216i
$188$	2.31134e10	+	1.31083e11i	0.0984181	+	0.558157i
$189$			8.59738e10i			0.356498i
$190$	−3.62135e10	+	6.54994e10i	−0.146252	+	0.264527i
$191$	3.81813e11			1.50205			0.751023	−	0.660276i	$-0.229561\pi$
$191$	3.81813e11			1.50205			0.751023	+	0.660276i	$0.229561\pi$
$192$	3.15296e11	−	5.55953e10i	1.20841	−	0.213075i
$193$	−1.16890e11	−	1.39304e11i	−0.436505	−	0.520207i	0.502282	−	0.864704i	$-0.332494\pi$
$193$	−1.16890e11	−	1.39304e11i	−0.436505	−	0.520207i	−0.938787	+	0.344497i	$0.888049\pi$
$194$	−1.18262e11	+	4.30438e10i	−0.430364	+	0.156640i
$195$	4.81121e9	+	1.75114e9i	0.0170640	+	0.00621079i
$196$	−7.94943e10	−	6.67036e10i	−0.274825	−	0.230605i
$197$	1.50890e11	−	2.61349e11i	0.508545	−	0.880827i	−0.491406	−	0.870931i	$-0.663517\pi$
$197$	1.50890e11	−	2.61349e11i	0.508545	−	0.880827i	0.999951	−	0.00989576i	$-0.00314997\pi$
$198$	6.62427e10	−	3.82452e10i	0.217677	−	0.125676i
$199$	−3.53945e10	+	2.00732e11i	−0.113415	+	0.643209i	0.874108	+	0.485732i	$0.161447\pi$
$199$	−3.53945e10	+	2.00732e11i	−0.113415	+	0.643209i	−0.987523	+	0.157477i	$0.949664\pi$
$200$	6.57386e10	+	1.15915e10i	0.205433	+	0.0362234i
$201$	−2.76882e11	−	4.79574e11i	−0.843946	−	1.46176i
$202$	2.05363e10	+	1.18567e10i	0.0610613	+	0.0352538i
$203$	1.74870e11	−	2.08402e11i	0.507266	−	0.604537i
$204$	−1.30579e11	+	3.58762e11i	−0.369591	+	1.01544i
$205$	1.07770e10	+	2.96096e10i	0.0297666	+	0.0817829i
$206$	−1.08640e11	+	9.11598e10i	−0.292856	+	0.245735i
$207$	6.91872e10	+	3.92380e11i	0.182043	+	1.03242i
$208$		−	1.65247e9i		−	0.00424439i
$209$	−1.04309e11	+	2.03938e10i	−0.261572	+	0.0511408i
$210$	1.11327e11			0.272586
$211$	−5.73095e10	+	1.01052e10i	−0.137030	+	0.0241620i	−0.241742	−	0.970341i	$-0.577719\pi$
$211$	−5.73095e10	+	1.01052e10i	−0.137030	+	0.0241620i	0.104713	+	0.994503i	$0.466608\pi$
$212$	−1.07634e11	−	1.28273e11i	−0.251345	−	0.299541i
$213$	−3.77727e11	+	1.37481e11i	−0.861548	+	0.313578i
$214$	−2.75992e11	−	1.00453e11i	−0.614934	−	0.223818i
$215$	−7.75518e10	−	6.50737e10i	−0.168811	−	0.141649i
$216$	−1.50021e11	+	2.59844e11i	−0.319068	+	0.552641i
$217$	3.67398e11	−	2.12117e11i	0.763552	−	0.440837i
$218$	2.06871e10	−	1.17322e11i	0.0420161	−	0.238285i
$219$	−7.36354e11	−	1.29839e11i	−1.46173	−	0.257742i
$220$	1.66831e10	+	2.88961e10i	0.0323716	+	0.0560693i
$221$	1.53970e10	+	8.88947e9i	0.0292062	+	0.0168622i
$222$	−1.08989e11	+	1.29888e11i	−0.202124	+	0.240881i
$223$	−6.04430e10	+	1.66066e11i	−0.109603	+	0.301131i	−0.982353	−	0.187036i	$-0.940112\pi$
$223$	−6.04430e10	+	1.66066e11i	−0.109603	+	0.301131i	0.872750	+	0.488167i	$0.162334\pi$
$224$	1.04935e11	+	2.88305e11i	0.186071	+	0.511226i
$225$	−1.23273e11	+	1.03438e11i	−0.213775	+	0.179378i
$226$	1.14990e11	+	6.52140e11i	0.195037	+	1.10611i
$227$		−	6.78576e11i		−	1.12582i	−0.826518	−	0.562911i	$-0.809681\pi$
$227$		−	6.78576e11i		−	1.12582i	0.826518	−	0.562911i	$-0.190319\pi$
$228$	3.90540e11	−	3.40241e11i	0.633858	−	0.552220i
$229$	7.62159e11			1.21023			0.605116	−	0.796138i	$-0.293127\pi$
$229$	7.62159e11			1.21023			0.605116	+	0.796138i	$0.293127\pi$
$230$	1.43950e11	−	2.53822e10i	0.223651	−	0.0394357i
$231$	1.01620e11	+	1.21106e11i	0.154497	+	0.184122i
$232$	8.92174e11	−	3.24725e11i	1.32742	−	0.483143i
$233$	3.16083e11	+	1.15045e11i	0.460280	+	0.167528i	0.561744	−	0.827311i	$-0.310131\pi$
$233$	3.16083e11	+	1.15045e11i	0.460280	+	0.167528i	−0.101464	+	0.994839i	$0.532353\pi$
$234$	1.32977e10	+	1.11581e10i	0.0189539	+	0.0159042i
$235$	−1.67219e11	+	2.89632e11i	−0.233317	+	0.404117i
$236$	2.14716e11	−	1.23966e11i	0.293295	−	0.169334i
$237$	−1.11221e11	+	6.30767e11i	−0.148746	+	0.843582i
$238$	3.80705e11	+	6.71286e10i	0.498545	+	0.0879069i
$239$	4.57850e11	+	7.93020e11i	0.587130	+	1.01694i	0.994606	+	0.103723i	$0.0330755\pi$
$239$	4.57850e11	+	7.93020e11i	0.587130	+	1.01694i	−0.407476	+	0.913216i	$0.633591\pi$
$240$	7.72147e10	+	4.45799e10i	0.0969714	+	0.0559865i
$241$	−3.86007e11	+	4.60025e11i	−0.474799	+	0.565844i	−0.949284	−	0.314420i	$-0.898190\pi$
$241$	−3.86007e11	+	4.60025e11i	−0.474799	+	0.565844i	0.474485	+	0.880264i	$0.342634\pi$
$242$	−1.78238e11	+	4.89705e11i	−0.214745	+	0.590008i
$243$	3.78413e11	+	1.03968e12i	0.446617	+	1.22707i
$244$	1.71694e11	−	1.44068e11i	0.198520	−	0.166578i
$245$	−4.52766e10	−	2.56777e11i	−0.0512913	−	0.290887i
$246$			1.83397e11i			0.203571i
$247$	−1.24455e10	−	2.06616e10i	−0.0135371	−	0.0224739i
$248$	1.48054e12			1.57820
$249$	−2.12481e12	+	3.74661e11i	−2.21985	+	0.391419i
$250$	3.79477e10	+	4.52243e10i	0.0388584	+	0.0463097i
$251$	1.05088e12	−	3.82487e11i	1.05483	−	0.383927i	0.244347	−	0.969688i	$-0.421426\pi$
$251$	1.05088e12	−	3.82487e11i	1.05483	−	0.383927i	0.810484	+	0.585761i	$0.199204\pi$
$252$	−4.21733e11	−	1.53498e11i	−0.414987	−	0.151043i
$253$	1.59010e11	+	1.33425e11i	0.153399	+	0.128717i
$254$	6.68313e11	−	1.15755e12i	0.632137	−	1.09489i
$255$	−8.30756e11	+	4.79637e11i	−0.770500	+	0.444848i
$256$	−2.02709e11	+	1.14962e12i	−0.184363	+	1.04557i
$257$	−1.49875e12	−	2.64270e11i	−1.33679	−	0.235712i	−0.540867	−	0.841108i	$-0.681904\pi$
$257$	−1.49875e12	−	2.64270e11i	−1.33679	−	0.235712i	−0.795925	+	0.605396i	$0.793015\pi$
$258$	−2.94614e11	−	5.10286e11i	−0.257724	−	0.446391i
$259$	−1.76790e11	−	1.02070e11i	−0.151691	−	0.0875788i
$260$	−4.86733e9	+	5.80066e9i	−0.00409661	+	0.00488215i
$261$	−7.82818e11	+	2.15078e12i	−0.646336	+	1.77579i
$262$	−1.20555e11	−	3.31223e11i	−0.0976517	−	0.268296i
$263$	6.94954e11	−	5.83136e11i	0.552303	−	0.463437i	−0.323417	−	0.946257i	$-0.604832\pi$
$263$	6.94954e11	−	5.83136e11i	0.552303	−	0.463437i	0.875720	+	0.482819i	$0.160387\pi$
$264$	9.58069e10	+	5.43348e11i	0.0747097	+	0.423700i
$265$		−	4.20731e11i		−	0.321940i
$266$	−4.07945e11	−	3.29610e11i	−0.306332	−	0.247510i
$267$	−1.47030e12			−1.08356
$268$	8.06552e11	−	1.42217e11i	0.583389	−	0.102867i
$269$	3.42892e11	+	4.08643e11i	0.243442	+	0.290123i	0.873905	−	0.486096i	$-0.161579\pi$
$269$	3.42892e11	+	4.08643e11i	0.243442	+	0.290123i	−0.630463	+	0.776219i	$0.717135\pi$
$270$	−2.49354e11	+	9.07574e10i	−0.173779	+	0.0632504i
$271$	2.45290e12	+	8.92783e11i	1.67816	+	0.610800i	0.993056	−	0.117645i	$-0.0375344\pi$
$271$	2.45290e12	+	8.92783e11i	1.67816	+	0.610800i	0.685104	+	0.728445i	$0.259757\pi$
$272$	2.37171e11	+	1.99010e11i	0.159300	+	0.133669i
$273$	−1.79390e10	+	3.10712e10i	−0.0118300	+	0.0204901i
$274$	−6.99454e9	+	4.03830e9i	−0.00452904	+	0.00261484i
$275$	−1.45579e10	+	8.25622e10i	−0.00925628	+	0.0524950i
$276$	−9.96215e11	−	1.75660e11i	−0.622025	−	0.109680i
$277$	−1.47415e12	−	2.55330e12i	−0.903947	−	1.56568i	−0.822324	−	0.569019i	$-0.807323\pi$
$277$	−1.47415e12	−	2.55330e12i	−0.903947	−	1.56568i	−0.0816226	−	0.996663i	$-0.526010\pi$
$278$	−1.60616e12	−	9.27318e11i	−0.967310	−	0.558477i
$279$	−2.29422e12	+	2.73414e12i	−1.35710	+	1.61733i
$280$	−1.59985e11	+	4.39556e11i	−0.0929587	+	0.255402i
$281$	1.04587e12	+	2.87351e12i	0.596962	+	1.64014i	0.757292	+	0.653076i	$0.226522\pi$
$281$	1.04587e12	+	2.87351e12i	0.596962	+	1.64014i	−0.160330	+	0.987063i	$0.551256\pi$
$282$	−1.49113e12	+	1.25121e12i	−0.836122	+	0.701590i
$283$	−4.65312e11	−	2.63892e12i	−0.256338	−	1.45376i	−0.792615	−	0.609722i	$-0.791281\pi$
$283$	−4.65312e11	−	2.63892e12i	−0.256338	−	1.45376i	0.536278	−	0.844042i	$-0.319830\pi$
$284$		−	5.94494e11i		−	0.321778i
$285$	1.30121e12	−	2.41336e10i	0.692025	−	0.0128351i
$286$	9.04354e9			0.00472616
$287$	−2.17449e11	+	3.83421e10i	−0.111673	+	0.0196909i
$288$	−1.65919e12	−	1.97734e12i	−0.837399	−	0.997973i
$289$	−1.23574e12	+	4.49774e11i	−0.612970	+	0.223103i
$290$	7.89039e11	+	2.87187e11i	0.384688	+	0.140015i
$291$	1.67640e12	+	1.40667e12i	0.803365	+	0.674103i
$292$	5.52918e11	−	9.57683e11i	0.260463	−	0.451136i
$293$	−1.26919e11	+	7.32766e10i	−0.0587743	+	0.0339334i	−0.529099	−	0.848560i	$-0.677470\pi$
$293$	−1.26919e11	+	7.32766e10i	−0.0587743	+	0.0339334i	0.470325	+	0.882493i	$0.344137\pi$
$294$	2.63524e11	−	1.49452e12i	0.119973	−	0.680400i
$295$	6.13489e11	+	1.08175e11i	0.274598	+	0.0484190i
$296$	−3.56216e11	−	6.16984e11i	−0.156767	−	0.271528i
$297$	−3.26342e11	−	1.88414e11i	−0.141218	−	0.0815323i
$298$	−1.47973e11	+	1.76348e11i	−0.0629654	+	0.0750392i
$299$	−1.61116e10	+	4.42662e10i	−0.00674190	+	0.0185232i
$300$	−1.39737e11	−	3.83925e11i	−0.0575051	−	0.157994i
$301$	5.43439e11	−	4.56000e11i	0.219947	−	0.184558i
$302$	−2.17040e10	−	1.23089e11i	−0.00863982	−	0.0489988i
$303$		−	4.12341e11i		−	0.161452i
$304$	−1.50955e11	−	3.91971e11i	−0.0581406	−	0.150969i
$305$	5.63148e11			0.213365
$306$	−3.20294e12	+	5.64765e11i	−1.19383	+	0.210504i
$307$	3.36079e12	+	4.00523e12i	1.23239	+	1.46871i	0.834252	+	0.551383i	$0.185900\pi$
$307$	3.36079e12	+	4.00523e12i	1.23239	+	1.46871i	0.398140	+	0.917325i	$0.369656\pi$
$308$	−2.19712e11	+	7.99685e10i	−0.0792683	+	0.0288513i
$309$	2.31732e12	+	8.43436e11i	0.822610	+	0.299406i
$310$	1.00305e12	+	8.41662e11i	0.350361	+	0.293988i
$311$	−7.31599e11	+	1.26717e12i	−0.251461	+	0.435544i	−0.963928	−	0.266162i	$-0.914244\pi$
$311$	−7.31599e11	+	1.26717e12i	−0.251461	+	0.435544i	0.712467	+	0.701706i	$0.247578\pi$
$312$	−1.08436e11	+	6.26055e10i	−0.0366775	+	0.0211758i
$313$	8.06111e11	−	4.57168e12i	0.268332	−	1.52179i	−0.491043	−	0.871135i	$-0.663384\pi$
$313$	8.06111e11	−	4.57168e12i	0.268332	−	1.52179i	0.759375	−	0.650653i	$-0.225505\pi$
$314$	−1.43379e12	−	2.52815e11i	−0.469717	−	0.0828238i
$315$	−5.63824e11	−	9.76572e11i	−0.181799	−	0.314885i
$316$	−8.20358e11	−	4.73634e11i	−0.260356	−	0.150317i
$317$	−3.66528e11	+	4.36811e11i	−0.114501	+	0.136457i	−0.820251	−	0.572004i	$-0.806166\pi$
$317$	−3.66528e11	+	4.36811e11i	−0.114501	+	0.136457i	0.705749	+	0.708462i	$0.250611\pi$
$318$	8.37531e11	−	2.30110e12i	0.257552	−	0.707619i
$319$	4.07827e11	+	1.12050e12i	0.123459	+	0.339201i
$320$	−9.11379e11	+	7.64738e11i	−0.271612	+	0.227910i
$321$	8.86842e11	+	5.02953e12i	0.260208	+	1.47571i
$322$			1.02428e12i			0.295896i
$323$	4.46430e12	+	7.02080e11i	1.26981	+	0.199698i
$324$	−8.69654e11			−0.243569
$325$	−1.87369e10	+	3.30382e9i	−0.00516750	+	0.000911169i
$326$	9.04466e11	+	1.07790e12i	0.245643	+	0.292746i
$327$	−1.94661e12	+	7.08508e11i	−0.520643	+	0.189499i
$328$	−7.24113e11	−	2.63556e11i	−0.190738	−	0.0694229i
$329$	−1.79527e12	−	1.50641e12i	−0.465746	−	0.390808i
$330$	−2.43975e11	+	4.22577e11i	−0.0623413	+	0.107978i
$331$	−1.70663e12	+	9.85322e11i	−0.429535	+	0.247992i	−0.699149	−	0.714976i	$-0.746437\pi$
$331$	−1.70663e12	+	9.85322e11i	−0.429535	+	0.247992i	0.269613	+	0.962969i	$0.413104\pi$
$332$	5.54108e11	−	3.14250e12i	0.137374	−	0.779086i
$333$	1.69137e12	+	2.98235e11i	0.413065	+	0.0728346i
$334$	−2.25311e12	−	3.90250e12i	−0.542063	−	0.938881i
$335$	1.78211e12	+	1.02890e12i	0.422386	+	0.243865i
$336$	−4.01602e11	+	4.78611e11i	−0.0937777	+	0.111760i
$337$	−2.45866e11	+	6.75511e11i	−0.0565651	+	0.155411i	−0.964757	−	0.263143i	$-0.915241\pi$
$337$	−2.45866e11	+	6.75511e11i	−0.0565651	+	0.155411i	0.908192	+	0.418554i	$0.137463\pi$
$338$	−1.01908e12	−	2.79990e12i	−0.231007	−	0.634687i
$339$	8.82081e12	−	7.40153e12i	1.97020	−	1.65319i
$340$	−2.46359e11	−	1.39717e12i	−0.0542218	−	0.307507i
$341$			1.85944e12i			0.403283i
$342$	4.17358e12	+	1.43198e12i	0.892027	+	0.306061i
$343$	4.59344e12			0.967536
$344$	2.43817e12	−	4.29915e11i	0.506141	−	0.0892463i
$345$	−1.63377e12	−	1.94705e12i	−0.334268	−	0.398366i
$346$	5.29094e11	−	1.92574e11i	0.106697	−	0.0388345i
$347$	5.48264e12	+	1.99552e12i	1.08979	+	0.396651i	0.823543	−	0.567254i	$-0.191994\pi$
$347$	5.48264e12	+	1.99552e12i	1.08979	+	0.396651i	0.266246	+	0.963905i	$0.414217\pi$
$348$	−4.45153e12	−	3.73528e12i	−0.872194	−	0.731858i
$349$	3.38149e11	−	5.85691e11i	0.0653101	−	0.113120i	−0.831521	−	0.555493i	$-0.812530\pi$
$349$	3.38149e11	−	5.85691e11i	0.0653101	−	0.113120i	0.896832	+	0.442372i	$0.145863\pi$
$350$	−3.58268e11	+	2.06846e11i	−0.0682130	+	0.0393828i
$351$	1.48501e10	−	8.42188e10i	0.00278736	−	0.0158079i
$352$	−1.32432e12	−	2.33514e11i	−0.245065	−	0.0432115i
$353$	1.18950e12	+	2.06028e12i	0.217016	+	0.375883i	0.953894	−	0.300143i	$-0.0970343\pi$
$353$	1.18950e12	+	2.06028e12i	0.217016	+	0.375883i	−0.736878	+	0.676025i	$0.763701\pi$
$354$	3.14001e12	+	1.81289e12i	0.564826	+	0.326103i
$355$	9.60145e11	−	1.14426e12i	0.170292	−	0.202947i
$356$	7.43729e11	−	2.04338e12i	0.130066	−	0.357354i
$357$	−2.29908e12	−	6.31666e12i	−0.396472	−	1.08930i
$358$	5.60718e11	−	4.70498e11i	0.0953519	−	0.0800098i
$359$	−1.06240e12	−	6.02518e12i	−0.178163	−	1.01041i	−0.934430	−	0.356147i	$-0.884090\pi$
$359$	−1.06240e12	−	6.02518e12i	−0.178163	−	1.01041i	0.756267	−	0.654263i	$-0.227021\pi$
$360$		−	3.93540e12i		−	0.650843i
$361$	−4.83958e12	−	3.76410e12i	−0.789353	−	0.613939i
$362$	6.16185e11			0.0991215
$363$	8.92411e12	−	1.57356e12i	1.41590	−	0.249661i
$364$	−3.41075e10	−	4.06478e10i	−0.00533757	−	0.00636107i
$365$	2.61095e12	−	9.50308e11i	0.403027	−	0.146690i
$366$	3.08002e12	+	1.12104e12i	0.468973	+	0.170692i
$367$	−7.37902e12	−	6.19173e12i	−1.10833	−	0.929997i	−0.110371	−	0.993890i	$-0.535204\pi$
$367$	−7.37902e12	−	6.19173e12i	−1.10833	−	0.929997i	−0.997957	+	0.0638933i	$0.979648\pi$
$368$	−4.10164e11	+	7.10425e11i	−0.0607741	+	0.105264i
$369$	1.60878e12	−	9.28829e11i	0.235161	−	0.135770i
$370$	1.09411e11	−	6.20502e11i	0.0157781	−	0.0894818i
$371$	2.90345e12	+	5.11957e11i	0.413090	+	0.0728390i
$372$	−4.53088e12	−	7.84772e12i	−0.636016	−	1.10161i
$373$	−4.15019e12	−	2.39611e12i	−0.574809	−	0.331866i	0.184259	−	0.982878i	$-0.441012\pi$
$373$	−4.15019e12	−	2.39611e12i	−0.574809	−	0.331866i	−0.759068	+	0.651012i	$0.774345\pi$
$374$	−1.08913e12	+	1.29798e12i	−0.148841	+	0.177382i
$375$	3.51103e11	−	9.64647e11i	0.0473454	−	0.130080i
$376$	−2.79732e12	−	7.68557e12i	−0.372222	−	1.02267i
$377$	−2.07298e11	+	1.73943e11i	−0.0272200	+	0.0228403i
$378$	−3.22894e11	−	1.83122e12i	−0.0418408	−	0.237291i
$379$		−	3.48024e11i		−	0.0445055i	−0.999752	−	0.0222527i	$-0.992916\pi$
$379$		−	3.48024e11i		−	0.0445055i	0.999752	−	0.0222527i	$-0.00708385\pi$
$380$	−6.24653e11	+	1.82058e12i	−0.0788353	+	0.229769i
$381$	−2.32421e13			−2.89501
$382$	−8.13251e12	+	1.43398e12i	−0.999788	+	0.176290i
$383$	6.47097e12	+	7.71180e12i	0.785191	+	0.935755i	0.999156	−	0.0410869i	$-0.0130820\pi$
$383$	6.47097e12	+	7.71180e12i	0.785191	+	0.935755i	−0.213964	+	0.976841i	$0.568638\pi$
$384$	4.83054e12	−	1.75817e12i	0.578548	−	0.210574i
$385$	−5.52045e11	−	2.00928e11i	−0.0652636	−	0.0237540i
$386$	3.01291e12	+	2.52813e12i	0.351600	+	0.295028i
$387$	−2.98420e12	+	5.16878e12i	−0.343774	+	0.595433i
$388$	−2.80292e12	+	1.61826e12i	−0.318751	+	0.184031i
$389$	−1.03106e12	+	5.84742e12i	−0.115754	+	0.656472i	0.870620	+	0.491955i	$0.163718\pi$
$389$	−1.03106e12	+	5.84742e12i	−0.115754	+	0.656472i	−0.986374	+	0.164517i	$0.947393\pi$
$390$	−1.09054e11	−	1.92292e10i	−0.0120870	−	0.00213127i
$391$	−4.41297e12	−	7.64349e12i	−0.482889	−	0.836388i
$392$	5.52216e12	+	3.18822e12i	0.596593	+	0.344443i
$393$	−3.93973e12	+	4.69519e12i	−0.420246	+	0.500830i
$394$	−2.23237e12	+	6.13338e12i	−0.235117	+	0.645979i
$395$	−8.14042e11	−	2.23656e12i	−0.0846566	−	0.232592i
$396$	1.50689e12	−	1.26443e12i	0.154741	−	0.129843i
$397$	6.65821e11	+	3.77606e12i	0.0675157	+	0.382901i	0.999777	+	0.0211150i	$0.00672162\pi$
$397$	6.65821e11	+	3.77606e12i	0.0675157	+	0.382901i	−0.932261	+	0.361786i	$0.882167\pi$
$398$		−	4.40848e12i		−	0.441442i
$399$	−1.41680e12	+	9.00895e12i	−0.140102	+	0.890861i
$400$	−3.31319e11			−0.0323554
$401$	−1.50413e12	+	2.65218e11i	−0.145065	+	0.0255788i	−0.245709	−	0.969344i	$-0.579021\pi$
$401$	−1.50413e12	+	2.65218e11i	−0.145065	+	0.0255788i	0.100644	+	0.994922i	$0.467910\pi$
$402$	7.69867e12	+	9.17491e12i	0.733306	+	0.873920i
$403$	−3.96537e11	+	1.44328e11i	−0.0373043	+	0.0135776i
$404$	5.73058e11	+	2.08576e11i	0.0532466	+	0.0193802i
$405$	−1.67387e12	−	1.40455e12i	−0.153620	−	0.128902i
$406$	−2.94199e12	+	5.09568e12i	−0.266693	+	0.461926i
$407$	7.74880e11	−	4.47377e11i	0.0693845	−	0.0400591i
$408$	4.07368e12	−	2.31030e13i	0.360318	−	2.04347i
$409$	−2.22232e12	−	3.91855e11i	−0.194174	−	0.0342381i	0.0757154	−	0.997129i	$-0.475876\pi$
$409$	−2.22232e12	−	3.91855e11i	−0.194174	−	0.0342381i	−0.269889	+	0.962891i	$0.586987\pi$
$410$	−3.40753e11	−	5.90201e11i	−0.0294117	−	0.0509425i
$411$	1.21625e11	+	7.02204e10i	0.0103709	+	0.00598762i
$412$	−2.34436e12	+	2.79390e12i	−0.197487	+	0.235355i
$413$	−1.49302e12	+	4.10204e12i	−0.124256	+	0.341389i
$414$	−2.94734e12	−	8.09774e12i	−0.242342	−	0.665828i
$415$	6.14187e12	−	5.15364e12i	0.498953	−	0.418671i
$416$	−5.29942e10	−	3.00545e11i	−0.00425365	−	0.0241237i
$417$			3.22495e13i			2.55766i
$418$	2.14516e12	−	8.26139e11i	0.168104	−	0.0647398i
$419$	1.26607e13			0.980364			0.490182	−	0.871620i	$-0.336930\pi$
$419$	1.26607e13			0.980364			0.490182	+	0.871620i	$0.336930\pi$
$420$	2.81949e12	−	4.97153e11i	0.215737	−	0.0380403i
$421$	−4.59404e11	−	5.47496e11i	−0.0347364	−	0.0413972i	0.748397	−	0.663252i	$-0.230824\pi$
$421$	−4.59404e11	−	5.47496e11i	−0.0347364	−	0.0413972i	−0.783133	+	0.621854i	$0.786380\pi$
$422$	1.18272e12	−	4.30477e11i	0.0883734	−	0.0321653i
$423$	1.85277e13	+	6.74353e12i	1.36810	+	0.497949i
$424$	7.88192e12	+	6.61372e12i	0.575179	+	0.482632i
$425$	1.78234e12	−	3.08710e12i	0.128542	−	0.222642i
$426$	7.52914e12	−	4.34695e12i	0.536658	−	0.309840i
$427$	−6.85254e11	+	3.88627e12i	−0.0482739	+	0.273775i
$428$	−7.43846e12	−	1.31160e12i	−0.517922	−	0.0913236i
$429$	−7.86272e10	−	1.36186e11i	−0.00541111	−	0.00937232i
$430$	1.89623e12	+	1.09479e12i	0.128988	+	0.0744712i
$431$	−1.40670e13	+	1.67644e13i	−0.945837	+	1.12720i	0.0459034	+	0.998946i	$0.485383\pi$
$431$	−1.40670e13	+	1.67644e13i	−0.945837	+	1.12720i	−0.991741	+	0.128259i	$0.959061\pi$
$432$	5.09343e11	−	1.39941e12i	0.0338526	−	0.0930093i
$433$	−5.39802e12	−	1.48309e13i	−0.354646	−	0.974381i	−0.980857	−	0.194728i	$-0.937618\pi$
$433$	−5.39802e12	−	1.48309e13i	−0.354646	−	0.974381i	0.626212	−	0.779653i	$-0.284605\pi$
$434$	−7.02883e12	+	5.89789e12i	−0.456494	+	0.383044i
$435$	−2.53541e12	−	1.43790e13i	−0.162780	−	0.923172i
$436$		−	3.06372e12i		−	0.194454i
$437$	2.22045e11	+	1.19719e13i	0.0139327	+	0.751202i
$438$	1.61718e13			1.00320
$439$	−2.86395e13	+	5.04992e12i	−1.75648	+	0.309715i	−0.956807	−	0.290723i	$-0.906104\pi$
$439$	−2.86395e13	+	5.04992e12i	−1.75648	+	0.309715i	−0.799671	+	0.600438i	$0.794993\pi$
$440$	−1.31787e12	−	1.57057e12i	−0.0799113	−	0.0952346i
$441$	−1.44447e13	+	5.25745e12i	−0.865997	+	0.315197i
$442$	−3.61339e11	−	1.31517e11i	−0.0214192	−	0.00779595i
$443$	1.42886e13	+	1.19895e13i	0.837472	+	0.702722i	0.956993	−	0.290109i	$-0.0936917\pi$
$443$	1.42886e13	+	1.19895e13i	0.837472	+	0.702722i	−0.119522	+	0.992832i	$0.538136\pi$
$444$	−2.18024e12	+	3.77629e12i	−0.126354	+	0.218852i
$445$	4.73168e12	−	2.73184e12i	0.271154	−	0.156551i
$446$	6.63723e11	−	3.76416e12i	0.0376108	−	0.213302i
$447$	3.94214e12	+	6.95105e11i	0.220899	+	0.0389505i
$448$	−4.16845e12	−	7.21996e12i	−0.230985	−	0.400078i
$449$	3.67040e12	+	2.11911e12i	0.201132	+	0.116124i	0.597184	−	0.802105i	$-0.296286\pi$
$449$	3.67040e12	+	2.11911e12i	0.201132	+	0.116124i	−0.396051	+	0.918228i	$0.629620\pi$
$450$	2.23720e12	−	2.66619e12i	0.121239	−	0.144487i
$451$	3.31004e11	−	9.09425e11i	0.0177399	−	0.0487398i
$452$	5.82454e12	+	1.60028e13i	0.308723	+	0.848210i
$453$	−1.66490e12	+	1.39702e12i	−0.0872763	+	0.0732335i
$454$	2.54854e12	+	1.44535e13i	0.132133	+	0.749366i
$455$		−	1.33323e11i		−	0.00683672i
$456$	−2.00023e13	+	2.47560e13i	−1.01451	+	1.25562i
$457$	−1.53279e12			−0.0768959			−0.0384479	−	0.999261i	$-0.512241\pi$
$457$	−1.53279e12			−0.0768959			−0.0384479	+	0.999261i	$0.512241\pi$
$458$	−1.62338e13	+	2.86246e12i	−0.805550	+	0.142040i
$459$	1.02991e13	+	1.22740e13i	0.505518	+	0.602453i
$460$	3.53236e12	−	1.28567e12i	0.171505	−	0.0624226i
$461$	2.95097e13	+	1.07406e13i	1.41729	+	0.515853i	0.933262	−	0.359197i	$-0.116949\pi$
$461$	2.95097e13	+	1.07406e13i	1.41729	+	0.515853i	0.484032	+	0.875050i	$0.339172\pi$
$462$	−2.61932e12	−	2.19787e12i	−0.124445	−	0.104422i
$463$	−2.00716e13	+	3.47651e13i	−0.943361	+	1.63395i	−0.184360	+	0.982859i	$0.559021\pi$
$463$	−2.00716e13	+	3.47651e13i	−0.943361	+	1.63395i	−0.759001	+	0.651090i	$0.774312\pi$
$464$	−4.08105e12	+	2.35620e12i	−0.189750	+	0.109552i
$465$	3.95371e12	−	2.24226e13i	0.181861	−	1.03139i
$466$	−7.16457e12	−	1.26331e12i	−0.326032	−	0.0574883i
$467$	1.27987e13	+	2.21679e13i	0.576209	+	0.998024i	0.995909	+	0.0903610i	$0.0288021\pi$
$467$	1.27987e13	+	2.21679e13i	0.576209	+	0.998024i	−0.419700	+	0.907663i	$0.637865\pi$
$468$	3.86611e11	+	2.23210e11i	0.0172205	+	0.00994223i
$469$	−9.26892e12	+	1.10463e13i	−0.408475	+	0.486801i
$470$	2.47395e12	−	6.79711e12i	0.107870	−	0.296371i
$471$	8.65864e12	+	2.37894e13i	0.373547	+	1.02631i
$472$	−1.16703e13	+	9.79258e12i	−0.498165	+	0.418010i
$473$	5.39937e11	+	3.06213e12i	0.0228054	+	0.129336i
$474$		−	1.38529e13i		−	0.578960i
$475$	−4.14265e12	+	2.49532e12i	−0.171321	+	0.103195i
$476$	9.94163e12			0.406839
$477$	−2.44273e13	+	4.30719e12i	−0.989198	+	0.174422i
$478$	−1.27305e13	−	1.51716e13i	−0.510158	−	0.607982i
$479$	2.22366e13	−	8.09344e12i	0.881840	−	0.320964i	0.138888	−	0.990308i	$-0.455647\pi$
$479$	2.22366e13	−	8.09344e12i	0.881840	−	0.320964i	0.742952	+	0.669344i	$0.233425\pi$
$480$	1.54732e13	+	5.63180e12i	0.607261	+	0.221025i
$481$	1.55551e11	+	1.30523e11i	0.00604155	+	0.00506946i
$482$	6.49413e12	−	1.12482e13i	0.249624	−	0.432361i
$483$	1.54246e13	−	8.90538e12i	0.586783	−	0.338779i
$484$	−2.32723e12	+	1.31984e13i	−0.0876219	+	0.496929i
$485$	−8.00853e12	−	1.41212e12i	−0.298431	−	0.0526215i
$486$	−1.19649e13	−	2.07237e13i	−0.441292	−	0.764340i
$487$	3.48428e13	+	2.01165e13i	1.27194	+	0.734357i	0.975353	−	0.220648i	$-0.0708172\pi$
$487$	3.48428e13	+	2.01165e13i	1.27194	+	0.734357i	0.296590	+	0.955005i	$0.404151\pi$
$488$	−8.85246e12	+	1.05500e13i	−0.319864	+	0.381199i
$489$	8.36837e12	−	2.29919e13i	0.299293	−	0.822301i
$490$	1.92876e12	+	5.29923e12i	0.0682807	+	0.187600i
$491$	−1.75557e13	+	1.47310e13i	−0.615192	+	0.516208i	−0.896288	−	0.443472i	$-0.853747\pi$
$491$	−1.75557e13	+	1.47310e13i	−0.615192	+	0.516208i	0.281096	+	0.959680i	$0.409302\pi$
$492$	8.18997e11	+	4.64476e12i	0.0284090	+	0.161116i
$493$		−	5.07008e13i		−	1.74093i
$494$	3.42684e11	+	3.93345e11i	0.0116482	+	0.0133702i
$495$	4.94253e12			0.166312
$496$	−7.23687e12	+	1.27605e12i	−0.241069	+	0.0425071i
$497$	6.72815e12	+	8.01830e12i	0.221878	+	0.264424i
$498$	4.38508e13	−	1.59604e13i	1.43163	−	0.521071i
$499$	−3.84023e13	−	1.39773e13i	−1.24124	−	0.451773i	−0.363806	−	0.931475i	$-0.618523\pi$
$499$	−3.84023e13	−	1.39773e13i	−1.24124	−	0.451773i	−0.877432	+	0.479702i	$0.840745\pi$
$500$	1.16303e12	+	9.75901e11i	0.0372171	+	0.0312288i
$501$	−3.91784e13	+	6.78590e13i	−1.24125	+	2.14990i
$502$	−2.09469e13	+	1.20937e13i	−0.657053	+	0.379350i
$503$	9.89219e12	−	5.61014e13i	0.307222	−	1.74234i	−0.305634	−	0.952149i	$-0.598868\pi$
$503$	9.89219e12	−	5.61014e13i	0.307222	−	1.74234i	0.612856	−	0.790195i	$-0.290021\pi$
$504$	2.71581e13	+	4.78870e12i	0.835116	+	0.147253i
$505$	7.66134e11	+	1.32698e12i	0.0233264	+	0.0404025i
$506$	−3.88798e12	−	2.24473e12i	−0.117212	−	0.0676723i
$507$	−3.33035e13	+	3.96895e13i	−0.994145	+	1.18478i
$508$	1.17566e13	−	3.23010e13i	0.347507	−	0.954767i
$509$	−1.87918e13	−	5.16301e13i	−0.550022	−	1.51117i	−0.833680	−	0.552248i	$-0.813770\pi$
$509$	−1.87918e13	−	5.16301e13i	−0.550022	−	1.51117i	0.283658	−	0.958926i	$-0.408452\pi$
$510$	1.58935e13	−	1.33362e13i	0.460648	−	0.386529i
$511$	3.38098e12	+	1.91745e13i	0.0970371	+	0.550325i
$512$		−	1.12513e13i		−	0.319782i
$513$	−4.17101e12	−	2.13336e13i	−0.117396	−	0.600451i
$514$	3.29155e13			0.917456
$515$	−9.02463e12	+	1.59129e12i	−0.249111	+	0.0439250i
$516$	−9.74027e12	−	1.16080e13i	−0.266270	−	0.317328i
$517$	9.65243e12	−	3.51320e12i	0.261327	−	0.0951151i
$518$	4.14894e12	+	1.51009e12i	0.111247	+	0.0404906i
$519$	−7.50007e12	−	6.29331e12i	−0.199172	−	0.167125i
$520$	2.32643e11	−	4.02949e11i	0.00611890	−	0.0105982i
$521$	5.39198e12	−	3.11306e12i	0.140462	−	0.0810959i	−0.428122	−	0.903721i	$-0.640825\pi$
$521$	5.39198e12	−	3.11306e12i	0.140462	−	0.0810959i	0.568584	+	0.822625i	$0.307491\pi$
$522$	8.59612e12	−	4.87510e13i	0.221794	−	1.25786i
$523$	−3.90579e13	−	6.88696e12i	−0.998160	−	0.176003i	−0.349382	−	0.936980i	$-0.613609\pi$
$523$	−3.90579e13	−	6.88696e12i	−0.998160	−	0.176003i	−0.648778	+	0.760978i	$0.724720\pi$
$524$	−4.53236e12	−	7.85028e12i	−0.114728	−	0.198714i
$525$	6.22977e12	+	3.59676e12i	0.156198	+	0.0901810i
$526$	−1.26123e13	+	1.50307e13i	−0.313230	+	0.373293i
$527$	2.70411e13	−	7.42948e13i	0.665229	−	1.82770i
$528$	−9.36604e11	−	2.57330e12i	−0.0228237	−	0.0627076i
$529$	−1.38204e13	+	1.15967e13i	−0.333613	+	0.279935i
$530$	1.58015e12	+	8.96145e12i	0.0377849	+	0.214289i
$531$		−	3.67261e13i		−	0.869966i
$532$	−1.18037e13	−	6.52604e12i	−0.276987	−	0.153141i
$533$	2.19633e11			0.00510576
$534$	3.13171e13	−	5.52205e12i	0.721233	−	0.127173i
$535$	−1.21989e13	−	1.45381e13i	−0.278325	−	0.331695i
$536$	−4.72893e13	+	1.72119e13i	−1.06890	+	0.389049i
$537$	−1.19603e13	−	4.35318e12i	−0.267836	−	0.0974845i
$538$	−8.83826e12	−	7.41618e12i	−0.196090	−	0.164539i
$539$	−4.00413e12	+	6.93536e12i	−0.0880166	+	0.152449i
$540$	−5.90991e12	+	3.41209e12i	−0.128710	+	0.0743107i
$541$	4.81991e12	−	2.73351e13i	0.104005	−	0.589839i	−0.887609	−	0.460598i	$-0.847635\pi$
$541$	4.81991e12	−	2.73351e13i	0.104005	−	0.589839i	0.991613	−	0.129241i	$-0.0412540\pi$
$542$	−5.55992e13	−	9.80364e12i	−1.18870	−	0.209600i
$543$	−5.35729e12	−	9.27910e12i	−0.113487	−	0.196565i
$544$	4.95181e13	+	2.85893e13i	1.03937	+	0.600079i
$545$	4.94810e12	−	5.89691e12i	0.102910	−	0.122643i
$546$	2.65401e11	−	7.29182e11i	0.00546939	−	0.0150270i
$547$	−5.95270e12	−	1.63549e13i	−0.121556	−	0.333973i	0.863958	−	0.503563i	$-0.167978\pi$
$547$	−5.95270e12	−	1.63549e13i	−0.121556	−	0.333973i	−0.985515	+	0.169590i	$0.945756\pi$
$548$	−1.59112e11	+	1.33511e11i	−0.00321959	+	0.00270155i
$549$	−5.76517e12	−	3.26959e13i	−0.115598	−	0.655589i
$550$		−	1.81323e12i		−	0.0360279i
$551$	−3.32819e13	+	6.01969e13i	−0.655314	+	1.18527i
$552$	6.21581e13			1.21284
$553$	1.64250e13	−	2.89617e12i	0.317599	−	0.0560014i
$554$	4.09885e13	+	4.88482e13i	0.785441	+	0.936052i
$555$	−1.02954e13	+	3.74721e12i	−0.195514	+	0.0711612i
$556$	−4.48193e13	−	1.63129e13i	−0.843511	−	0.307013i
$557$	−3.53926e13	−	2.96979e13i	−0.660141	−	0.553924i	0.249988	−	0.968249i	$-0.419573\pi$
$557$	−3.53926e13	−	2.96979e13i	−0.660141	−	0.553924i	−0.910129	+	0.414325i	$0.864018\pi$
$558$	3.85975e13	−	6.68529e13i	0.713491	−	1.23580i
$559$	−6.11109e11	+	3.52824e11i	−0.0111959	+	0.00646397i
$560$	4.03159e11	−	2.28643e12i	0.00732042	−	0.0415162i
$561$	2.90154e13	+	5.11620e12i	0.522173	+	0.0920733i
$562$	−3.30689e13	−	5.72770e13i	−0.589845	−	1.02164i
$563$	6.72209e13	+	3.88100e13i	1.18840	+	0.686123i	0.957943	−	0.286960i	$-0.0926446\pi$
$563$	6.72209e13	+	3.88100e13i	1.18840	+	0.686123i	0.230457	+	0.973083i	$0.425978\pi$
$564$	−3.21773e13	+	3.83474e13i	−0.563837	+	0.671955i
$565$	−1.46347e13	+	4.02085e13i	−0.254180	+	0.698354i
$566$	1.98221e13	+	5.44607e13i	0.341245	+	0.937564i
$567$	1.17295e13	−	9.84226e12i	0.200155	−	0.167950i
$568$	6.34328e12	+	3.59745e13i	0.107293	+	0.608490i
$569$		−	7.48086e13i		−	1.25427i	−0.778911	−	0.627134i	$-0.784228\pi$
$569$		−	7.48086e13i		−	1.25427i	0.778911	−	0.627134i	$-0.215772\pi$
$570$	−2.76247e13	+	5.40100e12i	−0.459117	+	0.0897636i
$571$	1.17234e14			1.93140			0.965698	−	0.259667i	$-0.0836129\pi$
$571$	1.17234e14			1.93140			0.965698	+	0.259667i	$0.0836129\pi$
$572$	2.29039e11	−	4.03858e10i	0.00374050	−	0.000659551i
$573$	9.23008e13	+	1.10000e14i	1.49428	+	1.78081i
$574$	4.48760e12	−	1.63335e12i	0.0720202	−	0.0262132i
$575$	8.87537e12	+	3.23037e12i	0.141204	+	0.0513941i
$576$	5.37302e13	+	4.50850e13i	0.847434	+	0.711082i
$577$	−1.68355e13	+	2.91600e13i	−0.263238	+	0.455941i	−0.967100	−	0.254395i	$-0.918124\pi$
$577$	−1.68355e13	+	2.91600e13i	−0.263238	+	0.455941i	0.703863	+	0.710336i	$0.251457\pi$
$578$	2.46318e13	−	1.42212e13i	0.381819	−	0.220443i
$579$	1.18759e13	−	6.73516e13i	0.182504	−	1.03503i
$580$	2.12659e13	+	3.74976e12i	0.324000	+	0.0571299i
$581$	2.80915e13	+	4.86560e13i	0.424321	+	0.734946i
$582$	−4.09899e13	−	2.36656e13i	−0.613850	−	0.354407i
$583$	−8.30628e12	+	9.89903e12i	−0.123329	+	0.146977i
$584$	−2.32401e13	+	6.38518e13i	−0.342117	+	0.939959i
$585$	3.83634e11	+	1.05402e12i	0.00559935	+	0.0153841i
$586$	2.42813e12	−	2.03744e12i	0.0351386	−	0.0294847i
$587$	1.03699e13	+	5.88104e13i	0.148793	+	0.843847i	0.964243	+	0.265019i	$0.0853783\pi$
$587$	1.03699e13	+	5.88104e13i	0.148793	+	0.843847i	−0.815450	+	0.578827i	$0.803511\pi$
$588$		−	3.90274e13i		−	0.555243i
$589$	−8.08756e13	+	7.04593e13i	−1.14088	+	0.993943i
$590$	−1.34734e13			−0.188460
$591$	1.11771e14	−	1.97083e13i	1.55022	−	0.273345i
$592$	2.27294e12	+	2.70879e12i	0.0312593	+	0.0372534i
$593$	7.09715e13	−	2.58315e13i	0.967856	−	0.352271i	0.190749	−	0.981639i	$-0.438908\pi$
$593$	7.09715e13	−	2.58315e13i	0.967856	−	0.352271i	0.777107	+	0.629368i	$0.216686\pi$
$594$	7.65862e12	+	2.78751e12i	0.103566	+	0.0376951i
$595$	1.91352e13	+	1.60564e13i	0.256595	+	0.215309i
$596$	−2.96010e12	+	5.12704e12i	−0.0393618	+	0.0681766i
$597$	−6.63871e13	+	3.83286e13i	−0.875412	+	0.505419i
$598$	1.76921e11	−	1.00337e12i	0.00231352	−	0.0131206i
$599$	−5.07379e13	−	8.94647e12i	−0.657959	−	0.116016i	−0.165307	−	0.986242i	$-0.552861\pi$
$599$	−5.07379e13	−	8.94647e12i	−0.657959	−	0.116016i	−0.492652	+	0.870226i	$0.663972\pi$
$600$	1.25524e13	+	2.17414e13i	0.161425	+	0.279596i
$601$	−8.88202e13	−	5.12804e13i	−1.13276	−	0.654002i	−0.188136	−	0.982143i	$-0.560244\pi$
$601$	−8.88202e13	−	5.12804e13i	−1.13276	−	0.654002i	−0.944629	+	0.328141i	$0.893578\pi$
$602$	−9.86251e12	+	1.17537e13i	−0.124740	+	0.148659i
$603$	4.14929e13	−	1.14001e14i	0.520460	−	1.42995i
$604$	−1.09936e12	−	3.02047e12i	−0.0136759	−	0.0375743i
$605$	−2.57956e13	+	2.16451e13i	−0.318250	+	0.267043i
$606$	1.54864e12	+	8.78277e12i	0.0189490	+	0.107465i
$607$		−	8.25788e13i		−	1.00213i	−0.865409	−	0.501066i	$-0.832941\pi$
$607$		−	8.25788e13i		−	1.00213i	0.865409	−	0.501066i	$-0.167059\pi$
$608$	−4.00257e13	−	6.64494e13i	−0.481749	−	0.799785i
$609$	1.02314e14			1.22138
$610$	−1.19949e13	+	2.11502e12i	−0.142019	+	0.0250418i
$611$	1.49842e12	+	1.78575e12i	0.0175966	+	0.0209708i
$612$	−7.85966e13	+	2.86068e13i	−0.915475	+	0.333206i
$613$	−6.54501e13	−	2.38219e13i	−0.756150	−	0.275216i	−0.0649590	−	0.997888i	$-0.520692\pi$
$613$	−6.54501e13	−	2.38219e13i	−0.756150	−	0.275216i	−0.691191	+	0.722672i	$0.742914\pi$
$614$	−8.66264e13	−	7.26882e13i	−0.992678	−	0.832956i
$615$	−5.92521e12	+	1.02628e13i	−0.0673485	+	0.116651i
$616$	1.24421e13	−	7.18345e12i	0.140278	−	0.0809897i
$617$	−1.56096e12	+	8.85266e12i	−0.0174569	+	0.0990029i	−0.992291	−	0.123927i	$-0.960451\pi$
$617$	−1.56096e12	+	8.85266e12i	−0.0174569	+	0.0990029i	0.974834	+	0.222930i	$0.0715622\pi$
$618$	−5.25261e13	−	9.26176e12i	−0.582683	−	0.102743i
$619$	−6.62461e13	−	1.14742e14i	−0.728966	−	1.26261i	−0.957321	−	0.289028i	$-0.906668\pi$
$619$	−6.62461e13	−	1.14742e14i	−0.728966	−	1.26261i	0.228355	−	0.973578i	$-0.426665\pi$
$620$	2.91623e13	+	1.68368e13i	0.318319	+	0.183782i
$621$	−2.72886e13	+	3.25212e13i	−0.295476	+	0.352135i
$622$	1.08238e13	−	2.97380e13i	0.116259	−	0.319419i
$623$	1.30947e13	+	3.59774e13i	0.139526	+	0.383345i
$624$	4.76073e11	−	3.99473e11i	0.00503212	−	0.00422245i
$625$	6.62415e11	+	3.75674e12i	0.00694593	+	0.0393923i
$626$			1.00403e14i			1.04442i
$627$	−3.10915e13	−	2.51212e13i	−0.320851	−	0.259241i
$628$	−3.74415e13			−0.383315
$629$	−3.74667e13	+	6.60639e12i	−0.380533	+	0.0670982i
$630$	1.56770e13	+	1.86832e13i	0.157965	+	0.188256i
$631$	−2.44258e13	+	8.89027e12i	−0.244176	+	0.0888727i	−0.461209	−	0.887292i	$-0.652584\pi$
$631$	−2.44258e13	+	8.89027e12i	−0.244176	+	0.0888727i	0.217033	+	0.976164i	$0.430362\pi$
$632$	5.46959e13	+	1.99077e13i	0.542462	+	0.197440i
$633$	−1.67655e13	−	1.40679e13i	−0.164967	−	0.138424i
$634$	6.16641e12	−	1.06805e13i	0.0601986	−	0.104267i
$635$	7.47968e13	−	4.31839e13i	0.724460	−	0.418267i
$636$	1.09355e13	−	6.20185e13i	0.105088	−	0.595985i
$637$	−1.78981e12	−	3.15591e11i	−0.0170651	−	0.00300904i
$638$	−1.28949e13	−	2.23346e13i	−0.121987	−	0.211288i
$639$	−7.62640e13	−	4.40310e13i	−0.715839	−	0.413290i
$640$	−1.22788e13	+	1.46333e13i	−0.114355	+	0.136283i
$641$	1.54778e13	−	4.25250e13i	0.143028	−	0.392965i	−0.847408	−	0.530943i	$-0.821838\pi$
$641$	1.54778e13	−	4.25250e13i	0.143028	−	0.392965i	0.990435	+	0.137978i	$0.0440602\pi$
$642$	−3.77790e13	−	1.03797e14i	−0.346398	−	0.951721i
$643$	4.05172e13	−	3.39980e13i	0.368625	−	0.309313i	−0.439592	−	0.898197i	$-0.644877\pi$
$643$	4.05172e13	−	3.39980e13i	0.368625	−	0.309313i	0.808217	+	0.588884i	$0.200433\pi$
$644$	4.57413e12	+	2.59412e13i	0.0412932	+	0.234186i
$645$		−	3.80737e13i		−	0.341057i
$646$	−9.77252e13	+	1.81252e12i	−0.868648	+	0.0161109i
$647$	1.93102e14			1.70320			0.851601	−	0.524190i	$-0.175632\pi$
$647$	1.93102e14			1.70320			0.851601	+	0.524190i	$0.175632\pi$
$648$	5.26252e13	−	9.27924e12i	0.460595	−	0.0812152i
$649$	−1.22987e13	−	1.46570e13i	−0.106815	−	0.127298i
$650$	3.86682e11	−	1.40741e11i	0.00333263	−	0.00121298i
$651$	1.49927e14	+	5.45689e13i	1.28226	+	0.466703i
$652$	2.77204e13	+	2.32601e13i	0.235267	+	0.197412i
$653$	−2.37643e13	+	4.11609e13i	−0.200151	+	0.346672i	−0.948577	−	0.316546i	$-0.897477\pi$
$653$	−2.37643e13	+	4.11609e13i	−0.200151	+	0.346672i	0.748426	+	0.663219i	$0.230810\pi$
$654$	3.88013e13	−	2.24020e13i	0.324308	−	0.187239i
$655$	3.95500e12	−	2.24299e13i	0.0328050	−	0.186047i
$656$	3.76660e12	+	6.64153e11i	0.0310049	+	0.00546700i
$657$	−8.19035e13	−	1.41861e14i	−0.669076	−	1.15887i
$658$	4.38964e13	+	2.53436e13i	0.355876	+	0.205465i
$659$	−1.05243e14	+	1.25424e14i	−0.846771	+	1.00914i	0.153011	+	0.988225i	$0.451103\pi$
$659$	−1.05243e14	+	1.25424e14i	−0.846771	+	1.00914i	−0.999781	+	0.0209174i	$0.993341\pi$
$660$	−4.29188e12	+	1.17918e13i	−0.0342711	+	0.0941589i
$661$	−6.07230e13	−	1.66835e14i	−0.481222	−	1.32215i	−0.908446	−	0.418002i	$-0.862731\pi$
$661$	−6.07230e13	−	1.66835e14i	−0.481222	−	1.32215i	0.427224	−	0.904146i	$-0.359492\pi$
$662$	3.26501e13	−	2.73967e13i	0.256800	−	0.215481i
$663$	1.16108e12	+	6.58483e12i	0.00906350	+	0.0514017i
$664$			1.96074e14i			1.51908i
$665$	−1.21792e13	−	3.16247e13i	−0.0936507	−	0.243175i
$666$	−3.71459e13			−0.283492
$667$	1.32296e14	−	2.33274e13i	1.00212	−	0.176700i
$668$	−7.44904e13	−	8.87742e13i	−0.560038	−	0.667428i
$669$	−6.24550e13	+	2.27318e13i	−0.466055	+	0.169630i
$670$	−4.18226e13	−	1.52222e13i	−0.309769	−	0.112747i
$671$	−1.32499e13	−	1.11179e13i	−0.0974089	−	0.0817358i
$672$	−5.76932e13	+	9.99275e13i	−0.420996	+	0.729187i
$673$	2.45229e13	−	1.41583e13i	0.177622	−	0.102550i	−0.408553	−	0.912735i	$-0.633967\pi$
$673$	2.45229e13	−	1.41583e13i	0.177622	−	0.102550i	0.586175	+	0.810185i	$0.300633\pi$
$674$	2.69985e12	−	1.53116e13i	0.0194107	−	0.110083i
$675$	−1.68859e13	−	2.97744e12i	−0.120505	−	0.0212483i
$676$	−3.83131e13	−	6.63603e13i	−0.271403	−	0.470083i
$677$	1.93025e13	+	1.11443e13i	0.135728	+	0.0783628i	0.566327	−	0.824181i	$-0.308364\pi$
$677$	1.93025e13	+	1.11443e13i	0.135728	+	0.0783628i	−0.430598	+	0.902544i	$0.641697\pi$
$678$	−1.60083e14	+	1.90779e14i	−1.11737	+	1.33163i
$679$	1.94900e13	−	5.35484e13i	0.135040	−	0.371020i
$680$	2.98158e13	+	8.19182e13i	0.205070	+	0.563425i
$681$	1.95497e14	−	1.64042e14i	1.33476	−	1.12000i
$682$	−6.98353e12	−	3.96056e13i	−0.0473318	−	0.268432i
$683$		−	1.26266e14i		−	0.849540i	−0.905301	−	0.424770i	$-0.860355\pi$
$683$		−	1.26266e14i		−	0.849540i	0.905301	−	0.424770i	$-0.139645\pi$
$684$	1.12096e14	+	1.76288e13i	0.748704	+	0.117745i
$685$	−5.21880e11			−0.00346033
$686$	−9.78390e13	+	1.72517e13i	−0.644008	+	0.113556i
$687$	1.84247e14	+	2.19577e14i	1.20397	+	1.43484i
$688$	−1.15472e13	+	4.20283e12i	−0.0749089	+	0.0272646i
$689$	−2.75575e12	−	1.00301e12i	−0.0177478	−	0.00645967i
$690$	4.21115e13	+	3.53357e13i	0.269249	+	0.225927i
$691$	−1.03978e14	+	1.80095e14i	−0.660009	+	1.14317i	0.320604	+	0.947213i	$0.396114\pi$
$691$	−1.03978e14	+	1.80095e14i	−0.660009	+	1.14317i	−0.980613	+	0.195956i	$0.937219\pi$
$692$	1.25400e13	−	7.23998e12i	0.0790255	−	0.0456254i
$693$	−6.01421e12	+	3.41083e13i	−0.0376281	+	0.213400i
$694$	−1.24273e14	−	2.19128e13i	−0.771935	−	0.136113i
$695$	−5.99199e13	−	1.03784e14i	−0.369528	−	0.640041i
$696$	3.09230e14	+	1.78534e14i	1.89337	+	1.09314i
$697$	−2.64508e13	+	3.15228e13i	−0.160796	+	0.191629i
$698$	−5.00279e12	+	1.37451e13i	−0.0301950	+	0.0829601i
$699$	4.32668e13	+	1.18875e14i	0.259280	+	0.712366i
$700$	−8.14988e12	+	6.83856e12i	−0.0484910	+	0.0406888i
$701$	−1.41219e13	−	8.00894e13i	−0.0834264	−	0.473135i	−0.997685	−	0.0680037i	$-0.978337\pi$
$701$	−1.41219e13	−	8.00894e13i	−0.0834264	−	0.473135i	0.914259	−	0.405131i	$-0.132774\pi$
$702$			1.84961e12i			0.0108491i
$703$	4.88208e13	+	1.67508e13i	0.284334	+	0.0975569i
$704$	3.65410e13			0.211308
$705$	−1.23867e14	+	2.18411e13i	−0.711229	+	0.125409i
$706$	−3.30739e13	−	3.94160e13i	−0.188566	−	0.224724i
$707$	−1.00897e13	+	3.67236e12i	−0.0571192	+	0.0207897i
$708$	8.76207e13	+	3.18913e13i	0.492539	+	0.179269i
$709$	−2.91217e13	−	2.44360e13i	−0.162549	−	0.136395i	0.557885	−	0.829918i	$-0.311613\pi$
$709$	−2.91217e13	−	2.44360e13i	−0.162549	−	0.136395i	−0.720434	+	0.693523i	$0.756058\pi$
$710$	−1.61533e13	+	2.79784e13i	−0.0895304	+	0.155071i
$711$	−1.21519e14	+	7.01592e13i	−0.668801	+	0.386132i
$712$	−2.32022e13	+	1.31586e14i	−0.126803	+	0.719135i
$713$	2.06303e14	+	3.63767e13i	1.11958	+	0.197413i
$714$	7.26934e13	+	1.25909e14i	0.391745	+	0.678523i
$715$	5.06071e11	+	2.92180e11i	0.00270820	+	0.00156358i
$716$	1.20998e13	−	1.44200e13i	0.0643004	−	0.0766302i
$717$	−1.17786e14	+	3.23614e14i	−0.621580	+	1.70778i
$718$	4.52578e13	+	1.24345e14i	0.237176	+	0.651636i
$719$	−1.54693e13	+	1.29803e13i	−0.0805056	+	0.0675522i	−0.682152	−	0.731210i	$-0.738956\pi$
$719$	−1.54693e13	+	1.29803e13i	−0.0805056	+	0.0675522i	0.601647	+	0.798762i	$0.294511\pi$
$720$	3.39185e12	+	1.92361e13i	0.0175297	+	0.0994158i
$721$		−	6.42151e13i		−	0.329580i
$722$	1.17219e14	+	6.19983e13i	0.597463	+	0.316005i
$723$	−2.25848e14			−1.14320
$724$	1.56057e13	−	2.75170e12i	0.0784494	−	0.0138327i
$725$	3.48756e13	+	4.15632e13i	0.174113	+	0.207500i
$726$	−1.84171e14	+	6.70329e13i	−0.913144	+	0.332357i
$727$	5.14624e13	+	1.87308e13i	0.253407	+	0.0922325i	0.465600	−	0.884995i	$-0.345838\pi$
$727$	5.14624e13	+	1.87308e13i	0.253407	+	0.0922325i	−0.212193	+	0.977228i	$0.568061\pi$
$728$	2.49766e12	+	2.09578e12i	0.0122145	+	0.0102492i
$729$	−1.61890e14	+	2.80402e14i	−0.786289	+	1.36189i
$730$	−5.20435e13	+	3.00473e13i	−0.251045	+	0.144941i
$731$	2.29580e13	−	1.30201e14i	0.109988	−	0.623775i
$732$	8.30117e13	+	1.46372e13i	0.394988	+	0.0696471i
$733$	−1.03438e13	−	1.79160e13i	−0.0488834	−	0.0846686i	0.840548	−	0.541737i	$-0.182233\pi$
$733$	−1.03438e13	−	1.79160e13i	−0.0488834	−	0.0846686i	−0.889432	+	0.457068i	$0.848900\pi$
$734$	1.80426e14	+	1.04169e14i	0.846872	+	0.488942i
$735$	6.30317e13	−	7.51182e13i	0.293848	−	0.350194i
$736$	−5.18162e13	+	1.42364e14i	−0.239926	+	0.659190i
$737$	−2.16167e13	−	5.93914e13i	−0.0994150	−	0.273140i
$738$	−3.07782e13	+	2.58259e13i	−0.140592	+	0.117971i
$739$	−2.99179e13	−	1.69673e14i	−0.135740	−	0.769822i	−0.974341	−	0.225076i	$-0.927737\pi$
$739$	−2.99179e13	−	1.69673e14i	−0.135740	−	0.769822i	0.838601	−	0.544746i	$-0.183374\pi$
$740$		−	1.62036e13i		−	0.0730220i
$741$	2.94397e12	−	8.58033e12i	0.0131778	−	0.0384072i
$742$	−6.37655e13			−0.283509
$743$	−3.87355e14	+	6.83012e13i	−1.71067	+	0.301637i	−0.941401	−	0.337291i	$-0.890489\pi$
$743$	−3.87355e14	+	6.83012e13i	−1.71067	+	0.301637i	−0.769267	+	0.638928i	$0.779378\pi$
$744$	3.57912e14	+	4.26543e14i	1.57004	+	1.87111i
$745$	−1.39779e13	+	5.08756e12i	−0.0609063	+	0.0221681i
$746$	9.73970e13	+	3.54496e13i	0.421552	+	0.153432i
$747$	−3.62093e14	−	3.03832e14i	−1.55674	−	1.30626i
$748$	−2.17873e13	+	3.77367e13i	−0.0930455	+	0.161159i
$749$	1.15171e14	−	6.64940e13i	0.488578	−	0.282081i
$750$	−3.85546e12	+	2.18654e13i	−0.0162469	+	0.0921405i
$751$	−1.89474e14	−	3.34094e13i	−0.793141	−	0.139852i	−0.237624	−	0.971357i	$-0.576369\pi$
$751$	−1.89474e14	−	3.34094e13i	−0.793141	−	0.139852i	−0.555517	+	0.831505i	$0.687480\pi$
$752$	2.02973e13	+	3.51559e13i	0.0844012	+	0.146187i
$753$	3.64237e14	+	2.10292e14i	1.50456	+	0.868657i
$754$	3.76210e12	−	4.48350e12i	0.0154374	−	0.0183976i
$755$	2.76225e12	−	7.58922e12i	0.0112597	−	0.0309359i
$756$	−1.63554e13	−	4.49361e13i	−0.0662296	−	0.181964i
$757$	−1.60579e13	+	1.34742e13i	−0.0645965	+	0.0542029i	−0.674514	−	0.738262i	$-0.735647\pi$
$757$	−1.60579e13	+	1.34742e13i	−0.0645965	+	0.0542029i	0.609918	+	0.792465i	$0.291202\pi$
$758$	1.30708e12	+	7.41282e12i	0.00522344	+	0.0296236i
$759$			7.80653e13i			0.309920i
$760$	1.83739e13	−	1.16833e14i	0.0724657	−	0.460786i
$761$	4.48316e14			1.75655			0.878276	−	0.478154i	$-0.158694\pi$
$761$	4.48316e14			1.75655			0.878276	+	0.478154i	$0.158694\pi$
$762$	4.95050e14	−	8.72906e13i	1.92697	−	0.339776i
$763$	3.46735e13	+	4.13222e13i	0.134083	+	0.159794i
$764$	−1.99563e14	+	7.26349e13i	−0.766677	+	0.279048i
$765$	−1.97481e14	−	7.18773e13i	−0.753735	−	0.274337i
$766$	−1.66793e14	−	1.39956e14i	−0.632463	−	0.530699i
$767$	2.17108e12	−	3.76042e12i	0.00817898	−	0.0141664i
$768$	−3.80207e14	+	2.19513e14i	−1.42303	+	0.821588i
$769$	2.62508e13	−	1.48876e14i	0.0976138	−	0.553595i	−0.896301	−	0.443446i	$-0.853756\pi$
$769$	2.62508e13	−	1.48876e14i	0.0976138	−	0.553595i	0.993915	−	0.110150i	$-0.0351330\pi$
$770$	1.25131e13	+	2.20639e12i	0.0462285	+	0.00815133i
$771$	−2.86177e14	−	4.95674e14i	−1.05042	−	1.81938i
$772$	8.75956e13	+	5.05734e13i	0.319445	+	0.184432i
$773$	−6.59400e13	+	7.85843e13i	−0.238920	+	0.284733i	−0.872159	−	0.489223i	$-0.837280\pi$
$773$	−6.59400e13	+	7.85843e13i	−0.238920	+	0.284733i	0.633239	+	0.773956i	$0.281725\pi$
$774$	4.41501e13	−	1.21301e14i	0.158938	−	0.436678i
$775$	2.89377e13	+	7.95057e13i	0.103504	+	0.284374i
$776$	1.52345e14	−	1.27833e14i	0.541403	−	0.454291i
$777$	−1.33317e13	−	7.56079e13i	−0.0470739	−	0.266970i
$778$		−	1.28421e14i		−	0.450545i
$779$	5.20977e13	−	2.00637e13i	0.181606	−	0.0699398i
$780$	−2.84781e12			−0.00986366
$781$	−4.51810e13	+	7.96663e12i	−0.155489	+	0.0274170i
$782$	1.22702e14	+	1.46231e14i	0.419583	+	0.500039i
$783$	−2.29167e14	+	8.34101e13i	−0.778653	+	0.283407i
$784$	−2.97400e13	−	1.08245e13i	−0.100406	−	0.0365449i
$785$	−7.20658e13	−	6.04704e13i	−0.241758	−	0.202859i
$786$	6.62814e13	−	1.14803e14i	0.220942	−	0.382684i
$787$	−6.14287e12	+	3.54659e12i	−0.0203469	+	0.0117473i	−0.510139	−	0.860092i	$-0.670406\pi$
$787$	−6.14287e12	+	3.54659e12i	−0.0203469	+	0.0117473i	0.489792	+	0.871839i	$0.337073\pi$
$788$	−2.91477e13	+	1.65305e14i	−0.0959341	+	0.544070i
$789$	3.36002e14	+	5.92461e13i	1.09890	+	0.193765i
$790$	2.57388e13	+	4.45809e13i	0.0836474	+	0.144881i
$791$	−2.59670e14	−	1.49920e14i	−0.838570	−	0.484148i
$792$	−7.76946e13	+	9.25929e13i	−0.249325	+	0.297133i
$793$	1.34253e12	−	3.68858e12i	0.00428113	−	0.0117623i
$794$	−2.83636e13	−	7.79284e13i	−0.0898792	−	0.246941i
$795$	1.21212e14	−	1.01709e14i	0.381689	−	0.320275i
$796$	−1.96870e13	−	1.11650e14i	−0.0616047	−	0.349378i
$797$		−	4.08183e14i		−	1.26930i	−0.772800	−	0.634649i	$-0.781145\pi$
$797$		−	4.08183e14i		−	1.26930i	0.772800	−	0.634649i	$-0.218855\pi$
$798$	−3.65767e12	−	1.97209e14i	−0.0113029	−	0.609415i
$799$	−4.36758e14			−1.34124
$800$	−6.02594e13	+	1.06253e13i	−0.183897	+	0.0324260i
$801$	−2.07048e14	−	2.46751e14i	−0.627927	−	0.748334i
$802$	3.10414e13	−	1.12981e13i	0.0935555	−	0.0340514i
$803$	−8.01925e13	−	2.91877e13i	−0.240190	−	0.0874222i
$804$	2.35951e14	+	1.97987e14i	0.702331	+	0.589326i
$805$	−3.30925e13	+	5.73179e13i	−0.0978928	+	0.169555i
$806$	7.90408e12	−	4.56342e12i	0.0232368	−	0.0134158i
$807$	−3.48376e13	+	1.97574e14i	−0.101784	+	0.577246i
$808$	−3.69029e13	−	6.50697e12i	−0.107153	−	0.0188939i
$809$	−1.95965e14	−	3.39421e14i	−0.565503	−	0.979480i	−0.997003	−	0.0773672i	$-0.975349\pi$
$809$	−1.95965e14	−	3.39421e14i	−0.565503	−	0.979480i	0.431499	−	0.902113i	$-0.357985\pi$
$810$	4.09281e13	+	2.36299e13i	0.117381	+	0.0677698i
$811$	3.80373e14	−	4.53311e14i	1.08419	−	1.29209i	0.130450	−	0.991455i	$-0.458358\pi$
$811$	3.80373e14	−	4.53311e14i	1.08419	−	1.29209i	0.953740	−	0.300632i	$-0.0971977\pi$
$812$	−5.17540e13	+	1.42193e14i	−0.146610	+	0.402808i
$813$	3.35763e14	+	9.22502e14i	0.945324	+	2.59726i
$814$	−1.48245e13	+	1.24392e13i	−0.0414819	+	0.0348074i
$815$	1.57884e13	+	8.95402e13i	0.0439085	+	0.249018i
$816$			1.16438e14i			0.321843i
$817$	−1.12727e14	+	1.39517e14i	−0.309682	+	0.383280i
$818$	4.88066e13			0.133264
$819$	−7.74062e12	+	1.36488e12i	−0.0210066	+	0.00370403i
$820$	−1.12657e13	−	1.34259e13i	−0.0303870	−	0.0362138i
$821$	2.68101e14	−	9.75807e13i	0.718758	−	0.261606i	0.0433593	−	0.999060i	$-0.486194\pi$
$821$	2.68101e14	−	9.75807e13i	0.718758	−	0.261606i	0.675398	+	0.737453i	$0.263972\pi$
$822$	−2.85432e12	−	1.03889e12i	−0.00760576	−	0.00276827i
$823$	−5.93910e12	−	4.98349e12i	−0.0157297	−	0.0131988i	0.634889	−	0.772603i	$-0.281046\pi$
$823$	−5.93910e12	−	4.98349e12i	−0.0157297	−	0.0131988i	−0.650619	+	0.759405i	$0.725490\pi$
$824$	1.12053e14	−	1.94081e14i	0.294976	−	0.510913i
$825$	−2.73054e13	+	1.57648e13i	−0.0714461	+	0.0412494i
$826$	1.63948e13	−	9.29798e13i	0.0426390	−	0.241818i
$827$	2.85595e14	+	5.03581e13i	0.738283	+	0.130179i	0.530129	−	0.847917i	$-0.322143\pi$
$827$	2.85595e14	+	5.03581e13i	0.738283	+	0.130179i	0.208154	+	0.978096i	$0.433254\pi$
$828$	−1.10807e14	−	1.91924e14i	−0.284719	−	0.493148i
$829$	−1.72269e14	−	9.94593e13i	−0.439980	−	0.254023i	0.263609	−	0.964630i	$-0.415087\pi$
$829$	−1.72269e14	−	9.94593e13i	−0.439980	−	0.254023i	−0.703589	+	0.710607i	$0.748421\pi$
$830$	−1.11465e14	+	1.32838e14i	−0.282974	+	0.337235i
$831$	3.79237e14	−	1.04195e15i	0.956987	−	2.62930i
$832$	2.83627e12	+	7.79258e12i	0.00711428	+	0.0195463i
$833$	2.60845e14	−	2.18875e14i	0.650366	−	0.545722i
$834$	−1.21120e14	−	6.86907e14i	−0.300183	−	1.70242i
$835$		−	2.91175e14i		−	0.717335i
$836$	5.06397e13	−	3.05027e13i	0.124011	−	0.0746977i
$837$	−3.80298e14			−0.925758
$838$	−2.69670e14	+	4.75500e13i	−0.652547	+	0.115062i
$839$	−1.52844e14	−	1.82152e14i	−0.367652	−	0.438151i	0.550224	−	0.835017i	$-0.314542\pi$
$839$	−1.52844e14	−	1.82152e14i	−0.367652	−	0.438151i	−0.917877	+	0.396866i	$0.870098\pi$
$840$	−1.65311e14	+	6.01683e13i	−0.395280	+	0.143870i
$841$	3.29827e14	+	1.20047e14i	0.783982	+	0.285346i
$842$	1.18414e13	+	9.93614e12i	0.0279797	+	0.0234778i
$843$	−5.75022e14	+	9.95967e14i	−1.35066	+	2.33941i
$844$	2.80317e13	−	1.61841e13i	0.0654541	−	0.0377899i
$845$	3.34326e13	−	1.89606e14i	0.0776044	−	0.440116i
$846$	−4.19962e14	−	7.40506e13i	−0.969076	−	0.170874i
$847$	−1.17983e14	−	2.04353e14i	−0.270647	−	0.468774i
$848$	−4.42269e13	−	2.55344e13i	−0.100857	−	0.0582300i
$849$	6.47783e14	−	7.71998e14i	1.46856	−	1.75016i
$850$	−2.63691e13	+	7.24484e13i	−0.0594293	+	0.163281i
$851$	−3.44768e13	−	9.47241e13i	−0.0772465	−	0.212233i
$852$	1.71273e14	−	1.43715e14i	0.381497	−	0.320114i
$853$	−6.65839e13	−	3.77616e14i	−0.147443	−	0.836191i	−0.965373	−	0.260873i	$-0.915990\pi$
$853$	−6.65839e13	−	3.77616e14i	−0.147443	−	0.836191i	0.817930	−	0.575318i	$-0.195122\pi$
$854$		−	8.53502e13i		−	0.187895i
$855$	1.87286e14	+	2.14973e14i	0.409897	+	0.470494i
$856$	4.64117e14			1.00985
$857$	1.18444e14	−	2.08849e13i	0.256218	−	0.0451781i	−0.0440638	−	0.999029i	$-0.514030\pi$
$857$	1.18444e14	−	2.08849e13i	0.256218	−	0.0451781i	0.300281	+	0.953851i	$0.402919\pi$
$858$	2.18622e12	+	2.60543e12i	0.00470172	+	0.00560329i
$859$	−2.82935e14	+	1.02980e14i	−0.604952	+	0.220185i	−0.626293	−	0.779588i	$-0.715429\pi$
$859$	−2.82935e14	+	1.02980e14i	−0.604952	+	0.220185i	0.0213409	+	0.999772i	$0.493206\pi$
$860$	5.29135e13	+	1.92590e13i	0.112480	+	0.0409393i
$861$	−6.36131e13	−	5.33778e13i	−0.134441	−	0.112809i
$862$	2.36662e14	−	4.09910e14i	0.497270	−	0.861296i
$863$	−5.84051e14	+	3.37202e14i	−1.22010	+	0.704427i	−0.964940	−	0.262471i	$-0.915463\pi$
$863$	−5.84051e14	+	3.37202e14i	−1.22010	+	0.704427i	−0.255163	+	0.966898i	$0.582129\pi$
$864$	4.77590e13	−	2.70855e14i	0.0991943	−	0.562559i
$865$	3.58295e13	+	6.31770e12i	0.0739878	+	0.0130460i
$866$	1.70677e14	+	2.95621e14i	0.350418	+	0.606941i
$867$	−4.28313e14	−	2.47286e14i	−0.874310	−	0.504783i
$868$	−1.51676e14	+	1.80760e14i	−0.307835	+	0.366864i
$869$	−2.50024e13	+	6.86935e13i	−0.0504525	+	0.138617i
$870$	1.08007e14	+	2.96747e14i	0.216698	+	0.595374i
$871$	1.09877e13	−	9.21978e12i	0.0219188	−	0.0183920i
$872$	3.26900e13	+	1.85394e14i	0.0648384	+	0.367717i
$873$			4.79425e14i			0.945474i
$874$	−4.96927e13	−	2.54165e14i	−0.0974396	−	0.498378i
$875$	−2.67312e13			−0.0521169
$876$	4.09572e14	−	7.22185e13i	0.793980	−	0.140000i
$877$	1.86182e14	+	2.21883e14i	0.358873	+	0.427688i	0.915028	−	0.403391i	$-0.132168\pi$
$877$	1.86182e14	+	2.21883e14i	0.358873	+	0.427688i	−0.556155	+	0.831078i	$0.687724\pi$
$878$	5.91048e14	−	2.15124e14i	1.13279	−	0.412303i
$879$	−5.17927e13	−	1.88510e13i	−0.0987016	−	0.0359244i
$880$	7.79535e12	+	6.54108e12i	0.0147714	+	0.0123947i
$881$	1.98837e14	−	3.44396e14i	0.374644	−	0.648902i	−0.615630	−	0.788035i	$-0.711098\pi$
$881$	1.98837e14	−	3.44396e14i	0.374644	−	0.648902i	0.990274	+	0.139134i	$0.0444317\pi$
$882$	2.87923e14	−	1.66233e14i	0.539429	−	0.311439i
$883$	−2.00793e12	+	1.13875e13i	−0.00374063	+	0.0212142i	−0.986621	−	0.163031i	$-0.947873\pi$
$883$	−2.00793e12	+	1.13875e13i	−0.00374063	+	0.0212142i	0.982880	+	0.184245i	$0.0589840\pi$
$884$	−9.73869e12	−	1.71719e12i	−0.0180401	−	0.00318096i
$885$	1.17142e14	+	2.02896e14i	0.215773	+	0.373729i
$886$	−3.49372e14	−	2.01710e14i	−0.639911	−	0.369453i
$887$	4.30701e14	−	5.13290e14i	0.784437	−	0.934856i	−0.214688	−	0.976683i	$-0.568873\pi$
$887$	4.30701e14	−	5.13290e14i	0.784437	−	0.934856i	0.999125	+	0.0418268i	$0.0133178\pi$
$888$	9.16394e13	−	2.51777e14i	0.165965	−	0.455986i
$889$	2.06996e14	+	5.68718e14i	0.372781	+	1.02421i
$890$	−9.05236e13	+	7.59583e13i	−0.162111	+	0.136027i
$891$	1.16540e13	+	6.60928e13i	0.0207532	+	0.117697i
$892$		−	9.82963e13i		−	0.174066i
$893$	5.18562e14	+	2.86704e14i	0.913153	+	0.504866i
$894$	−8.65771e13			−0.151606
$895$	4.65784e13	−	8.21302e12i	0.0811090	−	0.0143017i
$896$	−8.60427e13	−	1.02542e14i	−0.148996	−	0.177566i
$897$	−1.66479e13	+	6.05934e12i	−0.0286680	+	0.0104343i
$898$	−8.61374e13	−	3.13515e13i	−0.147506	−	0.0536878i
$899$	9.21852e14	+	7.73525e14i	1.56987	+	1.31727i
$900$	4.47536e13	−	7.75155e13i	0.0757906	−	0.131273i
$901$	4.75839e14	−	2.74726e14i	0.801375	−	0.462674i
$902$	−3.63475e12	+	2.06137e13i	−0.00608753	+	0.0345241i
$903$	2.62746e14	+	4.63292e13i	0.437620	+	0.0771642i
$904$	−5.23210e14	−	9.06226e14i	−0.866630	−	1.50105i
$905$	3.44813e13	+	1.99078e13i	0.0567990	+	0.0327929i
$906$	3.02151e13	−	3.60089e13i	0.0494975	−	0.0589888i
$907$	9.57038e13	−	2.62944e14i	0.155917	−	0.428378i	−0.836998	−	0.547206i	$-0.815692\pi$
$907$	9.57038e13	−	2.62944e14i	0.155917	−	0.428378i	0.992915	+	0.118828i	$0.0379137\pi$
$908$	1.29090e14	+	3.54673e14i	0.209153	+	0.574643i
$909$	6.92003e13	−	5.80659e13i	0.111504	−	0.0935626i
$910$	5.00723e11	+	2.83974e12i	0.000802400	+	0.00455064i
$911$			1.20940e15i			1.92743i	0.266941	+	0.963713i	$0.413987\pi$
$911$			1.20940e15i			1.92743i	−0.266941	+	0.963713i	$0.586013\pi$
$912$	7.64341e13	−	1.38246e14i	0.121147	−	0.219119i
$913$	−2.46253e14			−0.388175
$914$	3.26481e13	−	5.75675e12i	0.0511832	−	0.00902498i
$915$	1.36137e14	+	1.62242e14i	0.212262	+	0.252964i
$916$	−3.98359e14	+	1.44991e14i	−0.617728	+	0.224835i
$917$	1.49976e14	+	5.45868e13i	0.231300	+	0.0841862i
$918$	−2.65466e14	−	2.22753e14i	−0.407189	−	0.341672i
$919$	−2.16446e13	+	3.74896e13i	−0.0330197	+	0.0571918i	−0.882063	−	0.471131i	$-0.843846\pi$
$919$	−2.16446e13	+	3.74896e13i	−0.0330197	+	0.0571918i	0.849043	+	0.528323i	$0.177179\pi$
$920$	−2.00035e14	+	1.15490e14i	−0.303506	+	0.175229i
$921$	−3.41453e14	+	1.93648e15i	−0.515268	+	2.92223i
$922$	−6.68888e14	−	1.17943e14i	−1.00392	−	0.177018i
$923$	−5.20583e12	−	9.01676e12i	−0.00777108	−	0.0134599i
$924$	−7.61527e13	−	4.39668e13i	−0.113064	−	0.0652777i
$925$	2.61699e13	−	3.11880e13i	0.0386450	−	0.0460553i
$926$	2.96953e14	−	8.15871e14i	0.436146	−	1.19830i
$927$	1.84778e14	+	5.07672e14i	0.269930	+	0.741626i
$928$	−6.66686e14	+	5.59416e14i	−0.968683	+	0.812822i
$929$	1.65276e14	+	9.37328e14i	0.238854	+	1.35461i	0.834344	+	0.551244i	$0.185847\pi$
$929$	1.65276e14	+	9.37328e14i	0.238854	+	1.35461i	−0.595490	+	0.803362i	$0.703042\pi$
$930$			4.92445e14i			0.707853i
$931$	−4.53379e14	+	8.86416e13i	−0.648205	+	0.126733i
$932$	−1.87094e14			−0.266060
$933$	−5.41929e14	+	9.55567e13i	−0.766539	+	0.135161i
$934$	−3.55865e14	−	4.24103e14i	−0.500669	−	0.596674i
$935$	−1.02882e14	+	3.74461e13i	−0.143974	+	0.0524021i
$936$	−2.57766e13	−	9.38190e12i	−0.0358795	−	0.0130591i
$937$	−4.98488e14	−	4.18281e14i	−0.690171	−	0.579122i	0.228788	−	0.973476i	$-0.426524\pi$
$937$	−4.98488e14	−	4.18281e14i	−0.690171	−	0.579122i	−0.918958	+	0.394354i	$0.870968\pi$
$938$	1.55939e14	−	2.70094e14i	0.214754	−	0.371964i
$939$	1.51197e15	−	8.72935e14i	2.07116	−	1.19579i
$940$	3.23020e13	−	1.83194e14i	0.0440139	−	0.249615i
$941$	1.14281e15	+	2.01507e14i	1.54890	+	0.273113i	0.881717	−	0.471778i	$-0.156388\pi$
$941$	1.14281e15	+	2.01507e14i	1.54890	+	0.273113i	0.667186	+	0.744892i	$0.267499\pi$
$942$	−2.73773e14	−	4.74189e14i	−0.369093	−	0.639289i
$943$	−9.44241e13	−	5.45158e13i	−0.126626	−	0.0731078i
$944$	4.86043e13	−	5.79243e13i	0.0648358	−	0.0772682i
$945$	4.10944e13	−	1.12906e14i	0.0545286	−	0.149816i
$946$	−2.30010e13	−	6.31948e13i	−0.0303593	−	0.0834114i
$947$	3.17323e14	−	2.66266e14i	0.416631	−	0.349595i	−0.410249	−	0.911974i	$-0.634558\pi$
$947$	3.17323e14	−	2.66266e14i	0.416631	−	0.349595i	0.826880	+	0.562379i	$0.190114\pi$
$948$	−6.18630e13	−	3.50842e14i	−0.0807958	−	0.458216i
$949$		−	1.93670e13i		−	0.0251613i
$950$	7.88657e13	−	6.87082e13i	0.101923	−	0.0887954i
$951$	−2.14451e14			−0.275692
$952$	−6.01596e14	+	1.06078e14i	−0.769344	+	0.135656i
$953$	−8.02898e14	−	9.56856e14i	−1.02140	−	1.21726i	−0.975883	−	0.218293i	$-0.929951\pi$
$953$	−8.02898e14	−	9.56856e14i	−1.02140	−	1.21726i	−0.0455163	−	0.998964i	$-0.514493\pi$
$954$	5.04118e14	−	1.83484e14i	0.637955	−	0.232197i
$955$	−5.01419e14	−	1.82502e14i	−0.631225	−	0.229747i
$956$	−3.90167e14	−	3.27389e14i	−0.488609	−	0.409991i
$957$	−2.24224e14	+	3.88367e14i	−0.279333	+	0.483819i
$958$	−4.43236e14	+	2.55903e14i	−0.549298	+	0.317137i
$959$	6.35038e11	−	3.60148e12i	0.000782901	−	0.00444005i
$960$	−4.40640e14	−	7.76967e13i	−0.540416	−	0.0952899i
$961$	5.28470e14	+	9.15338e14i	0.644768	+	1.11677i
$962$	−3.80341e12	−	2.19590e12i	−0.00461634	−	0.00266524i
$963$	−7.19185e14	+	8.57091e14i	−0.868379	+	1.03489i
$964$	1.14241e14	−	3.13875e14i	0.137226	−	0.377026i
$965$	8.69211e13	+	2.38814e14i	0.103870	+	0.285380i
$966$	−2.95093e14	+	2.47613e14i	−0.350811	+	0.294366i
$967$	−1.00371e14	−	5.69231e14i	−0.118707	−	0.673219i	−0.984848	−	0.173420i	$-0.944518\pi$
$967$	−1.00371e14	−	5.69231e14i	−0.118707	−	0.673219i	0.866141	−	0.499799i	$-0.166593\pi$
$968$		−	8.23503e14i		−	0.968922i
$969$	8.76947e14	+	1.45588e15i	1.02649	+	1.70415i
$970$	1.75883e14			0.204817
$971$	−9.01033e14	+	1.58876e14i	−1.04387	+	0.184062i	−0.669188	−	0.743093i	$-0.733358\pi$
$971$	−9.01033e14	+	1.58876e14i	−1.04387	+	0.184062i	−0.374678	+	0.927155i	$0.622247\pi$
$972$	−3.95572e14	−	4.71424e14i	−0.455925	−	0.543351i
$973$	7.89125e14	−	2.87218e14i	0.904861	−	0.329342i
$974$	−8.17694e14	−	2.97616e14i	−0.932816	−	0.339517i
$975$	−5.48134e12	−	4.59939e12i	−0.00622105	−	0.00522008i
$976$	3.41778e13	−	5.91977e13i	0.0385918	−	0.0668430i
$977$	−5.29530e13	+	3.05724e13i	−0.0594864	+	0.0343445i	−0.529448	−	0.848342i	$-0.677601\pi$
$977$	−5.29530e13	+	3.05724e13i	−0.0594864	+	0.0343445i	0.469962	+	0.882687i	$0.344268\pi$
$978$	−9.18930e13	+	5.21151e14i	−0.102704	+	0.582464i
$979$	−1.65261e14	−	2.91400e13i	−0.183763	−	0.0324023i
$980$	7.25132e13	+	1.25597e14i	0.0802207	+	0.138946i
$981$	−3.93025e14	−	2.26913e14i	−0.432589	−	0.249755i
$982$	3.18607e14	−	3.79701e14i	0.348897	−	0.415799i
$983$	−3.34896e14	+	9.20119e14i	−0.364874	+	1.00248i	0.612409	+	0.790541i	$0.290201\pi$
$983$	−3.34896e14	+	9.20119e14i	−0.364874	+	1.00248i	−0.977282	+	0.211941i	$0.932022\pi$
$984$	−9.91196e13	−	2.72329e14i	−0.107444	−	0.295201i
$985$	−3.23080e14	+	2.71096e14i	−0.348441	+	0.292376i
$986$	1.90418e14	+	1.07991e15i	0.204326	+	1.15879i
$987$		−	8.81379e14i		−	0.940972i
$988$	1.04355e13	+	8.43165e12i	0.0110848	+	0.00895628i
$989$	3.50303e14			0.370222
$990$	−1.05275e14	+	1.85628e13i	−0.110700	+	0.0195194i
$991$	−1.81325e14	−	2.16095e14i	−0.189710	−	0.226087i	0.662803	−	0.748794i	$-0.269367\pi$
$991$	−1.81325e14	−	2.16095e14i	−0.189710	−	0.226087i	−0.852513	+	0.522707i	$0.824922\pi$
$992$	−1.27530e15	+	4.64170e14i	−1.32756	+	0.483191i
$993$	−6.96436e14	−	2.53482e14i	−0.721332	−	0.262543i
$994$	−1.73422e14	−	1.45519e14i	−0.178720	−	0.149964i
$995$	1.42430e14	−	2.46696e14i	0.146045	−	0.252957i
$996$	1.03930e15	−	6.00042e14i	1.06034	−	0.612189i
$997$	−3.07812e14	+	1.74569e15i	−0.312472	+	1.77211i	0.273589	+	0.961847i	$0.411789\pi$
$997$	−3.07812e14	+	1.74569e15i	−0.312472	+	1.77211i	−0.586061	+	0.810267i	$0.699322\pi$
$998$	8.70454e14	+	1.53485e14i	0.879212	+	0.155029i
$999$	9.14990e13	+	1.58481e14i	0.0919578	+	0.159276i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.11.n.a.86.24	yes	396
19.2	odd	18	inner	95.11.n.a.21.24	✓	396

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.11.n.a.21.24	✓	396	19.2	odd	18	inner
95.11.n.a.86.24	yes	396	1.1	even	1	trivial

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 11 \)
Character orbit:	\([\chi]\)	\(=\)	95.n (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-21.2997 + 3.75572i) q^{2} +(241.744 + 288.099i) q^{3} +(-522.672 + 190.237i) q^{4} +(-1313.26 - 477.988i) q^{5} +(-6231.09 - 5228.51i) q^{6} +(4896.59 - 8481.15i) q^{7} +(29598.5 - 17088.7i) q^{8} +(-14307.2 + 81140.2i) q^{9} +(29767.3 + 5248.78i) q^{10} +(21462.0 + 37173.2i) q^{11} +(-181160. - 104593. i) q^{12} +(-6261.57 + 7462.25i) q^{13} +(-72443.4 + 199037. i) q^{14} +(-179765. - 493899. i) q^{15} +(-129948. + 109040. i) q^{16} +(-316928. - 1.79739e6i) q^{17} -1.78200e6i q^{18} +(-803583. + 2.34208e6i) q^{19} +777335. q^{20} +(3.62713e6 - 639561. i) q^{21} +(-596747. - 711175. i) q^{22} +(4.54419e6 - 1.65395e6i) q^{23} +(1.20785e7 + 4.39621e6i) q^{24} +(1.49618e6 + 1.25544e6i) q^{25} +(105344. - 182461. i) q^{26} +(-7.60279e6 + 4.38947e6i) q^{27} +(-945883. + 5.36437e6i) q^{28} +(2.73575e7 + 4.82386e6i) q^{29} +(5.68389e6 + 9.84478e6i) q^{30} +(3.75157e7 + 2.16597e7i) q^{31} +(-2.01377e7 + 2.39992e7i) q^{32} +(-5.52127e6 + 1.51696e7i) q^{33} +(1.35010e7 + 3.70936e7i) q^{34} +(-1.04844e7 + 8.79745e6i) q^{35} +(-7.95789e6 - 4.51314e7i) q^{36} -2.08451e7i q^{37} +(8.31992e6 - 5.29037e7i) q^{38} -3.66356e6 q^{39} +(-4.70387e7 + 8.29420e6i) q^{40} +(-1.44927e7 - 1.72717e7i) q^{41} +(-7.48549e7 + 2.72450e7i) q^{42} +(6.80705e7 + 2.47756e7i) q^{43} +(-1.82893e7 - 1.53465e7i) q^{44} +(5.75731e7 - 9.97195e7i) q^{45} +(-9.05783e7 + 5.22954e7i) q^{46} +(4.15548e7 - 2.35669e8i) q^{47} +(-6.28284e7 - 1.10783e7i) q^{48} +(9.32844e7 + 1.61573e8i) q^{49} +(-3.65834e7 - 2.11214e7i) q^{50} +(4.41210e8 - 5.25814e8i) q^{51} +(1.85315e6 - 5.09149e6i) q^{52} +(1.02965e8 + 2.82895e8i) q^{53} +(1.45452e8 - 1.22049e8i) q^{54} +(-1.04168e7 - 5.90767e7i) q^{55} -3.34706e8i q^{56} +(-8.69010e8 + 3.34671e8i) q^{57} -6.00824e8 q^{58} +(-4.38977e8 + 7.74035e7i) q^{59} +(1.87916e8 + 2.23949e8i) q^{60} +(-3.78655e8 + 1.37819e8i) q^{61} +(-8.80422e8 - 3.20447e8i) q^{62} +(6.18105e8 + 5.18652e8i) q^{63} +(4.25647e8 - 7.37243e8i) q^{64} +(1.17899e7 - 6.80692e6i) q^{65} +(6.06290e7 - 3.43844e8i) q^{66} +(-1.45007e9 - 2.55687e8i) q^{67} +(5.07579e8 + 8.79152e8i) q^{68} +(1.57503e9 + 9.09344e8i) q^{69} +(1.90274e8 - 2.26760e8i) q^{70} +(-3.65558e8 + 1.00436e9i) q^{71} +(9.63109e8 + 2.64612e9i) q^{72} +(-1.52301e9 + 1.27795e9i) q^{73} +(7.82883e7 + 4.43995e8i) q^{74} +7.34544e8i q^{75} +(-2.55396e7 - 1.37701e9i) q^{76} +4.20362e8 q^{77} +(7.80328e7 - 1.37593e7i) q^{78} +(1.09471e9 + 1.30462e9i) q^{79} +(2.22776e8 - 8.10837e7i) q^{80} +(1.46923e9 + 5.34755e8i) q^{81} +(3.73558e8 + 3.13452e8i) q^{82} +(-2.86848e9 + 4.96835e9i) q^{83} +(-1.77413e9 + 1.02429e9i) q^{84} +(-4.42920e8 + 2.51193e9i) q^{85} +(-1.54293e9 - 2.72061e8i) q^{86} +(5.22375e9 + 9.04780e9i) q^{87} +(1.27049e9 + 7.33515e8i) q^{88} +(-2.51297e9 + 2.99484e9i) q^{89} +(-8.51773e8 + 2.34023e9i) q^{90} +(3.26281e7 + 8.96449e7i) q^{91} +(-2.06048e9 + 1.72895e9i) q^{92} +(2.82905e9 + 1.60443e10i) q^{93} +5.17576e9i q^{94} +(2.17480e9 - 2.69165e9i) q^{95} -1.17823e10 q^{96} +(5.73044e9 - 1.01043e9i) q^{97} +(-2.59376e9 - 3.09112e9i) q^{98} +(-3.32330e9 + 1.20958e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 396 q + 132 q^{3} - 1830 q^{4} + 3066 q^{6} - 95436 q^{9} - 93750 q^{10} + 2985984 q^{12} - 2110026 q^{13} + 1224960 q^{14} - 6809430 q^{16} + 532380 q^{17} - 7959948 q^{19} - 9580518 q^{21} - 31211136 q^{22}+ \cdots - 91369111794 q^{99}+O(q^{100}) \) 396 * q + 132 * q^3 - 1830 * q^4 + 3066 * q^6 - 95436 * q^9 - 93750 * q^10 + 2985984 * q^12 - 2110026 * q^13 + 1224960 * q^14 - 6809430 * q^16 + 532380 * q^17 - 7959948 * q^19 - 9580518 * q^21 - 31211136 * q^22 - 13532700 * q^23 + 21417984 * q^24 - 159720 * q^26 - 183408156 * q^27 + 144654336 * q^28 - 140983194 * q^29 - 119625000 * q^30 + 122776776 * q^31 + 393148500 * q^32 - 359004150 * q^33 - 578370492 * q^34 - 59812500 * q^35 - 640932912 * q^36 + 503327622 * q^38 + 1302975096 * q^39 - 96000000 * q^40 - 1194423528 * q^41 - 3390185778 * q^42 - 670104582 * q^43 + 2150443914 * q^44 + 3016431090 * q^46 - 151507770 * q^47 + 364629606 * q^48 - 8225668806 * q^49 + 3009006312 * q^51 - 2363609406 * q^52 - 4515798744 * q^53 - 9311985042 * q^54 + 952636938 * q^57 + 4039140864 * q^58 + 5041664862 * q^59 - 2779312500 * q^60 + 5128963260 * q^61 - 4033454760 * q^62 - 12114094326 * q^63 + 11990621196 * q^64 - 3916687500 * q^65 - 1806217476 * q^66 + 6379678362 * q^67 + 18479546670 * q^68 + 14567082498 * q^69 - 1621125000 * q^70 - 1788156144 * q^71 - 16923552852 * q^72 - 26786299530 * q^73 + 15012453948 * q^74 + 18346685868 * q^76 + 6003303804 * q^77 + 69668310660 * q^78 - 9538312266 * q^79 + 5565750000 * q^80 + 2012656020 * q^81 + 30701977302 * q^82 - 21873008760 * q^83 - 51655671540 * q^84 - 14398500000 * q^85 - 14081837694 * q^86 - 17926323216 * q^87 + 110136441168 * q^88 + 77332013844 * q^89 + 18945093750 * q^90 - 85587979728 * q^91 + 50548839756 * q^92 - 13898204208 * q^93 + 262589518236 * q^96 + 29548158042 * q^97 - 235808629536 * q^98 - 91369111794 * q^99

Introduction

L-functions

Modular forms

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