LMFDB - Embedded newform 95.11.q.a.17.2

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [95,11,Mod(17,95)] 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("95.17"); S:= CuspForms(chi, 11); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(95, base_ring=CyclotomicField(36)) chi = DirichletCharacter(H, H._module([9, 20])) N = Newforms(chi, 11, names="a")

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 11 $
Character orbit:	$[\chi]$	$=$	95.q (of order $36$, degree $12$, 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:	$1176$
Relative dimension:	$98$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			17.2
Character	$\chi$	$=$	95.17
Dual form			95.11.q.a.28.2

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-50.3563 + 35.2599i) q^{2} +(369.427 - 32.3207i) q^{3} +(942.271 - 2588.87i) q^{4} +(-334.791 + 3107.01i) q^{5} +(-17463.4 + 14653.5i) q^{6} +(-2370.23 + 8845.80i) q^{7} +(27541.4 + 102786. i) q^{8} +(77279.7 - 13626.5i) q^{9} +(-92694.1 - 168262. i) q^{10} +(83567.9 - 144744. i) q^{11} +(264426. - 986852. i) q^{12} +(8285.77 - 94706.8i) q^{13} +(-192546. - 529016. i) q^{14} +(-23260.1 + 1.15864e6i) q^{15} +(-2.84999e6 - 2.39142e6i) q^{16} +(1.71789e6 - 1.20288e6i) q^{17} +(-3.41105e6 + 3.41105e6i) q^{18} +(-153154. - 2.47136e6i) q^{19} +(7.72818e6 + 3.79438e6i) q^{20} +(-589723. + 3.34449e6i) q^{21} +(895478. + 1.02354e7i) q^{22} +(-913484. + 425965. i) q^{23} +(1.34967e7 + 3.70818e7i) q^{24} +(-9.54145e6 - 2.08040e6i) q^{25} +(2.92211e6 + 5.06124e6i) q^{26} +(6.95732e6 - 1.86421e6i) q^{27} +(2.06672e7 + 1.44713e7i) q^{28} +(1.86424e7 - 3.28715e6i) q^{29} +(-3.96820e7 - 5.91647e7i) q^{30} +(-1.63549e7 - 2.83275e7i) q^{31} +(1.19285e8 + 1.04361e7i) q^{32} +(2.61940e7 - 5.61733e7i) q^{33} +(-4.40933e7 + 1.21145e8i) q^{34} +(-2.66905e7 - 1.03258e7i) q^{35} +(3.75412e7 - 2.12907e8i) q^{36} +(-3.55750e7 - 3.55750e7i) q^{37} +(9.48520e7 + 1.19048e8i) q^{38} -3.52550e7i q^{39} +(-3.28578e8 + 5.11598e7i) q^{40} +(-1.36440e8 - 1.14487e8i) q^{41} +(-8.82298e7 - 1.89209e8i) q^{42} +(1.99846e7 - 4.28572e7i) q^{43} +(-2.95979e8 - 3.52734e8i) q^{44} +(1.64652e7 + 2.44671e8i) q^{45} +(3.09802e7 - 5.36593e7i) q^{46} +(-1.08138e8 + 1.54437e8i) q^{47} +(-1.13015e9 - 7.91343e8i) q^{48} +(1.72000e8 + 9.93045e7i) q^{49} +(5.53827e8 - 2.31669e8i) q^{50} +(5.95758e8 - 4.99900e8i) q^{51} +(-2.37376e8 - 1.10690e8i) q^{52} +(6.27031e8 - 2.92389e8i) q^{53} +(-2.84613e8 + 3.39189e8i) q^{54} +(4.21744e8 + 3.08106e8i) q^{55} -9.74504e8 q^{56} +(-1.36455e8 - 9.08036e8i) q^{57} +(-8.22857e8 + 8.22857e8i) q^{58} +(2.61464e8 + 4.61032e7i) q^{59} +(2.97764e9 + 1.15197e9i) q^{60} +(-1.14304e9 - 4.16034e8i) q^{61} +(1.82240e9 + 8.49798e8i) q^{62} +(-6.26331e7 + 7.15899e8i) q^{63} +(-3.07544e9 + 1.77561e9i) q^{64} +(2.91481e8 + 5.74510e7i) q^{65} +(6.61627e8 + 3.75227e9i) q^{66} +(6.15984e8 - 8.79716e8i) q^{67} +(-1.49538e9 - 5.58084e9i) q^{68} +(-3.23698e8 + 1.86887e8i) q^{69} +(1.70812e9 - 4.21133e8i) q^{70} +(-1.61481e9 + 5.87742e8i) q^{71} +(3.52901e9 + 7.56798e9i) q^{72} +(2.42210e9 - 2.11906e8i) q^{73} +(3.04579e9 + 5.37055e8i) q^{74} +(-3.59211e9 - 4.60170e8i) q^{75} +(-6.54233e9 - 1.93219e9i) q^{76} +(1.08230e9 + 1.08230e9i) q^{77} +(1.24309e9 + 1.77531e9i) q^{78} +(5.65398e8 - 6.73816e8i) q^{79} +(8.38434e9 - 8.05433e9i) q^{80} +(-1.84427e9 + 6.71260e8i) q^{81} +(1.09074e10 + 9.54275e8i) q^{82} +(-2.31167e9 - 6.19411e8i) q^{83} +(8.10275e9 + 4.67812e9i) q^{84} +(3.16224e9 + 5.74023e9i) q^{85} +(5.04786e8 + 2.86278e9i) q^{86} +(6.78076e9 - 1.81690e9i) q^{87} +(1.71792e10 + 4.60316e9i) q^{88} +(-6.54856e9 - 7.80427e9i) q^{89} +(-9.45620e9 - 1.17402e10i) q^{90} +(8.18118e8 + 2.97771e8i) q^{91} +(2.42017e8 + 2.76626e9i) q^{92} +(-6.95751e9 - 9.93635e9i) q^{93} -1.15898e10i q^{94} +(7.72982e9 + 3.51536e8i) q^{95} +4.44044e10 q^{96} +(2.47813e9 - 1.73520e9i) q^{97} +(-1.21628e10 + 1.06410e9i) q^{98} +(4.48575e9 - 1.23245e10i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1176 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 14604 q^{6} - 11688 q^{7} - 6 q^{8} - 12 q^{10} - 12 q^{11} - 6 q^{12} - 12 q^{13} + 3424146 q^{15} - 13618884 q^{16} - 3657378 q^{17} - 23774232 q^{18} + 38894436 q^{20}+ \cdots - 86078409906 q^{98}+O(q^{100}) $ 1176 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 14604 * q^6 - 11688 * q^7 - 6 * q^8 - 12 * q^10 - 12 * q^11 - 6 * q^12 - 12 * q^13 + 3424146 * q^15 - 13618884 * q^16 - 3657378 * q^17 - 23774232 * q^18 + 38894436 * q^20 - 8689704 * q^21 - 22604556 * q^22 - 32885808 * q^23 + 42291732 * q^25 - 319452 * q^26 - 6 * q^27 + 144277488 * q^28 - 6 * q^30 - 12 * q^31 - 304326750 * q^32 + 265207902 * q^33 - 173435754 * q^35 - 288159144 * q^36 - 24 * q^37 + 1298228634 * q^38 - 1334600346 * q^40 + 659462736 * q^41 + 362797044 * q^42 - 961639656 * q^43 + 161157936 * q^45 - 12 * q^46 - 886017372 * q^47 + 1630739472 * q^48 + 2215521786 * q^50 + 1125126576 * q^51 + 6132 * q^52 - 657601770 * q^53 - 3332318022 * q^55 - 48 * q^56 - 967967226 * q^57 - 7596060648 * q^58 + 3688833012 * q^60 + 1851266016 * q^61 + 845228664 * q^62 + 3514567662 * q^63 - 1840657236 * q^65 + 19323290088 * q^66 + 20641904172 * q^67 - 5240868870 * q^68 - 8235161100 * q^70 - 24 * q^71 - 64729344936 * q^72 - 3449985870 * q^73 - 34306313016 * q^75 + 10512445536 * q^76 + 46076293368 * q^77 - 51672410862 * q^78 + 20602412592 * q^80 + 46901590776 * q^81 - 12506757996 * q^82 + 22786639188 * q^83 - 22949887236 * q^85 - 81567902124 * q^86 + 3763013226 * q^87 + 8846542842 * q^88 + 87014491266 * q^90 + 37012815456 * q^91 - 35376892980 * q^92 + 96817414890 * q^93 - 20594188944 * q^95 + 84921616752 * q^96 - 9492824088 * q^97 - 86078409906 * q^98

Character values

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

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−50.3563	+	35.2599i	−1.57363	+	1.10187i	−0.627255	+	0.778814i	$0.715822\pi$
$2$	−50.3563	+	35.2599i	−1.57363	+	1.10187i	−0.946380	+	0.323057i	$0.895290\pi$
$3$	369.427	−	32.3207i	1.52028	−	0.133007i	0.703805	−	0.710394i	$-0.251483\pi$
$3$	369.427	−	32.3207i	1.52028	−	0.133007i	0.816471	+	0.577387i	$0.195927\pi$
$4$	942.271	−	2588.87i	0.920186	−	2.52819i
$5$	−334.791	+	3107.01i	−0.107133	+	0.994245i
$5$	−334.791	+	3107.01i	−0.107133	+	0.994245i
$6$	−17463.4	+	14653.5i	−2.24580	+	1.88445i
$7$	−2370.23	+	8845.80i	−0.141026	+	0.526317i	0.858874	+	0.512187i	$0.171164\pi$
$7$	−2370.23	+	8845.80i	−0.141026	+	0.526317i	−0.999900	+	0.0141298i	$0.995502\pi$
$8$	27541.4	+	102786.i	0.840497	+	3.13678i
$9$	77279.7	−	13626.5i	1.30874	−	0.230766i
$10$	−92694.1	−	168262.i	−0.926941	−	1.68262i
$11$	83567.9	−	144744.i	0.518891	−	0.898746i	−0.480868	−	0.876793i	$-0.659678\pi$
$11$	83567.9	−	144744.i	0.518891	−	0.898746i	0.999759	−	0.0219525i	$-0.00698827\pi$
$12$	264426.	−	986852.i	1.06267	−	3.96594i
$13$	8285.77	−	94706.8i	0.0223160	−	0.255073i	−0.976839	−	0.213975i	$-0.931359\pi$
$13$	8285.77	−	94706.8i	0.0223160	−	0.255073i	0.999155	−	0.0410979i	$-0.0130855\pi$
$14$	−192546.	−	529016.i	−0.358009	−	0.983622i
$15$	−23260.1	+	1.15864e6i	−0.0306305	+	1.52578i
$16$	−2.84999e6	−	2.39142e6i	−2.71796	−	2.28064i
$17$	1.71789e6	−	1.20288e6i	1.20991	−	0.847185i	0.218224	−	0.975899i	$-0.429974\pi$
$17$	1.71789e6	−	1.20288e6i	1.20991	−	0.847185i	0.991682	+	0.128713i	$0.0410847\pi$
$18$	−3.41105e6	+	3.41105e6i	−1.80520	+	1.80520i
$19$	−153154.	−	2.47136e6i	−0.0618530	−	0.998085i
$19$	−153154.	−	2.47136e6i	−0.0618530	−	0.998085i
$20$	7.72818e6	+	3.79438e6i	2.41506	+	1.18574i
$21$	−589723.	+	3.34449e6i	−0.144395	+	0.818904i
$22$	895478.	+	1.02354e7i	0.173757	+	1.98605i
$23$	−913484.	+	425965.i	−0.141926	+	0.0661812i	−0.492284	−	0.870435i	$-0.663838\pi$
$23$	−913484.	+	425965.i	−0.141926	+	0.0661812i	0.350358	+	0.936616i	$0.386060\pi$
$24$	1.34967e7	+	3.70818e7i	1.69500	+	4.65698i
$25$	−9.54145e6	−	2.08040e6i	−0.977045	−	0.213033i
$26$	2.92211e6	+	5.06124e6i	0.245940	+	0.425981i
$27$	6.95732e6	−	1.86421e6i	0.484868	−	0.129920i
$28$	2.06672e7	+	1.44713e7i	1.20086	+	0.840850i
$29$	1.86424e7	−	3.28715e6i	0.908890	−	0.160262i	0.300391	−	0.953816i	$-0.402883\pi$
$29$	1.86424e7	−	3.28715e6i	0.908890	−	0.160262i	0.608499	+	0.793554i	$0.291772\pi$
$30$	−3.96820e7	−	5.91647e7i	−1.63301	−	2.43476i
$31$	−1.63549e7	−	2.83275e7i	−0.571268	−	0.989465i	−0.996436	−	0.0843503i	$-0.973119\pi$
$31$	−1.63549e7	−	2.83275e7i	−0.571268	−	0.989465i	0.425169	−	0.905114i	$-0.360215\pi$
$32$	1.19285e8	+	1.04361e7i	3.55497	+	0.311020i
$33$	2.61940e7	−	5.61733e7i	0.669318	−	1.43536i
$34$	−4.40933e7	+	1.21145e8i	−0.970461	+	2.66632i
$35$	−2.66905e7	−	1.03258e7i	−0.508179	−	0.196600i
$36$	3.75412e7	−	2.12907e8i	0.620863	−	3.52109i
$37$	−3.55750e7	−	3.55750e7i	−0.513022	−	0.513022i	0.402429	−	0.915451i	$-0.368166\pi$
$37$	−3.55750e7	−	3.55750e7i	−0.513022	−	0.513022i	−0.915451	+	0.402429i	$0.868166\pi$
$38$	9.48520e7	+	1.19048e8i	1.19709	+	1.50247i
$39$		−	3.52550e7i		−	0.390749i
$40$	−3.28578e8	+	5.11598e7i	−3.20877	+	0.499607i
$41$	−1.36440e8	−	1.14487e8i	−1.17767	−	0.988181i	−0.999992	−	0.00409152i	$-0.998698\pi$
$41$	−1.36440e8	−	1.14487e8i	−1.17767	−	0.988181i	−0.177676	−	0.984089i	$-0.556858\pi$
$42$	−8.82298e7	−	1.89209e8i	−0.675101	−	1.44776i
$43$	1.99846e7	−	4.28572e7i	0.135942	−	0.291529i	−0.826538	−	0.562881i	$-0.809693\pi$
$43$	1.99846e7	−	4.28572e7i	0.135942	−	0.291529i	0.962480	+	0.271352i	$0.0874708\pi$
$44$	−2.95979e8	−	3.52734e8i	−1.79472	−	2.13887i
$45$	1.64652e7	+	2.44671e8i	0.0892285	+	1.32593i
$46$	3.09802e7	−	5.36593e7i	0.150416	−	0.260529i
$47$	−1.08138e8	+	1.54437e8i	−0.471508	+	0.673384i	−0.982513	−	0.186194i	$-0.940385\pi$
$47$	−1.08138e8	+	1.54437e8i	−0.471508	+	0.673384i	0.511005	+	0.859578i	$0.329273\pi$
$48$	−1.13015e9	−	7.91343e8i	−4.43539	−	3.10569i
$49$	1.72000e8	+	9.93045e7i	0.608905	+	0.351551i
$50$	5.53827e8	−	2.31669e8i	1.77225	−	0.741341i
$51$	5.95758e8	−	4.99900e8i	1.72671	−	1.44888i
$52$	−2.37376e8	−	1.10690e8i	−0.624338	−	0.291134i
$53$	6.27031e8	−	2.92389e8i	1.49937	−	0.699169i	0.512207	−	0.858862i	$-0.328828\pi$
$53$	6.27031e8	−	2.92389e8i	1.49937	−	0.699169i	0.987167	+	0.159693i	$0.0510503\pi$
$54$	−2.84613e8	+	3.39189e8i	−0.619850	+	0.738708i
$55$	4.21744e8	+	3.08106e8i	0.837983	+	0.612190i
$56$	−9.74504e8			−1.76947
$57$	−1.36455e8	−	9.08036e8i	−0.226786	−	1.50914i
$58$	−8.22857e8	+	8.22857e8i	−1.25367	+	1.25367i
$59$	2.61464e8	+	4.61032e7i	0.365723	+	0.0644868i	0.353490	−	0.935438i	$-0.384995\pi$
$59$	2.61464e8	+	4.61032e7i	0.365723	+	0.0644868i	0.0122331	+	0.999925i	$0.496106\pi$
$60$	2.97764e9	+	1.15197e9i	3.82926	+	1.48144i
$61$	−1.14304e9	−	4.16034e8i	−1.35336	−	0.492583i	−0.439366	−	0.898308i	$-0.644797\pi$
$61$	−1.14304e9	−	4.16034e8i	−1.35336	−	0.492583i	−0.913995	+	0.405725i	$0.867019\pi$
$62$	1.82240e9	+	8.49798e8i	1.98923	+	0.927592i
$63$	−6.26331e7	+	7.15899e8i	−0.0631104	+	0.721355i
$64$	−3.07544e9	+	1.77561e9i	−2.86423	+	1.65366i
$65$	2.91481e8	+	5.74510e7i	0.251214	+	0.0495143i
$66$	6.61627e8	+	3.75227e9i	0.528316	+	2.99623i
$67$	6.15984e8	−	8.79716e8i	0.456242	−	0.651581i	−0.523458	−	0.852052i	$-0.675358\pi$
$67$	6.15984e8	−	8.79716e8i	0.456242	−	0.651581i	0.979700	+	0.200471i	$0.0642471\pi$
$68$	−1.49538e9	−	5.58084e9i	−1.02851	−	3.83844i
$69$	−3.23698e8	+	1.86887e8i	−0.206964	+	0.119491i
$70$	1.70812e9	−	4.21133e8i	1.01632	−	0.250570i
$71$	−1.61481e9	+	5.87742e8i	−0.895013	+	0.325758i	−0.748252	−	0.663414i	$-0.769107\pi$
$71$	−1.61481e9	+	5.87742e8i	−0.895013	+	0.325758i	−0.146760	+	0.989172i	$0.546885\pi$
$72$	3.52901e9	+	7.56798e9i	1.82385	+	3.91127i
$73$	2.42210e9	−	2.11906e8i	1.16836	−	0.102218i	0.513583	−	0.858040i	$-0.328318\pi$
$73$	2.42210e9	−	2.11906e8i	1.16836	−	0.102218i	0.654778	+	0.755821i	$0.272762\pi$
$74$	3.04579e9	+	5.37055e8i	1.37259	+	0.242025i
$75$	−3.59211e9	−	4.60170e8i	−1.51371	−	0.193915i
$76$	−6.54233e9	−	1.93219e9i	−2.58027	−	0.762048i
$77$	1.08230e9	+	1.08230e9i	0.399848	+	0.399848i
$78$	1.24309e9	+	1.77531e9i	0.430555	+	0.614896i
$79$	5.65398e8	−	6.73816e8i	0.183747	−	0.218981i	−0.666306	−	0.745678i	$-0.732126\pi$
$79$	5.65398e8	−	6.73816e8i	0.183747	−	0.218981i	0.850053	+	0.526698i	$0.176570\pi$
$80$	8.38434e9	−	8.05433e9i	2.55870	−	2.45799i
$81$	−1.84427e9	+	6.71260e8i	−0.528932	+	0.192515i
$82$	1.09074e10	+	9.54275e8i	2.94207	+	0.257397i
$83$	−2.31167e9	−	6.19411e8i	−0.586862	−	0.157249i	−0.0468434	−	0.998902i	$-0.514916\pi$
$83$	−2.31167e9	−	6.19411e8i	−0.586862	−	0.157249i	−0.540019	+	0.841653i	$0.681583\pi$
$84$	8.10275e9	+	4.67812e9i	1.93747	+	1.11860i
$85$	3.16224e9	+	5.74023e9i	0.712688	+	1.29370i
$86$	5.04786e8	+	2.86278e9i	0.107304	+	0.608550i
$87$	6.78076e9	−	1.81690e9i	1.36045	−	0.364531i
$88$	1.71792e10	+	4.60316e9i	3.25529	+	0.872253i
$89$	−6.54856e9	−	7.80427e9i	−1.17272	−	1.39760i	−0.900215	−	0.435445i	$-0.856591\pi$
$89$	−6.54856e9	−	7.80427e9i	−1.17272	−	1.39760i	−0.272509	−	0.962153i	$-0.587853\pi$
$90$	−9.45620e9	−	1.17402e10i	−1.60142	−	1.98821i
$91$	8.18118e8	+	2.97771e8i	0.131102	+	0.0477172i
$92$	2.42017e8	+	2.76626e9i	0.0367203	+	0.419715i
$93$	−6.95751e9	−	9.93635e9i	−1.00009	−	1.42828i
$94$		−	1.15898e10i		−	1.57920i
$95$	7.72982e9	+	3.51536e8i	0.998967	+	0.0454310i
$96$	4.44044e10			5.44590
$97$	2.47813e9	−	1.73520e9i	0.288579	−	0.202065i	−0.420319	−	0.907377i	$-0.638082\pi$
$97$	2.47813e9	−	1.73520e9i	0.288579	−	0.202065i	0.708898	+	0.705311i	$0.249193\pi$
$98$	−1.21628e10	+	1.06410e9i	−1.34556	+	0.117721i
$99$	4.48575e9	−	1.23245e10i	0.471693	−	1.29597i
$100$	−1.43765e10	+	2.27413e10i	−1.43765	+	2.27413i
$101$	1.03437e10	−	8.67940e9i	0.984168	−	0.825815i	−0.000544835	−	1.00000i	$-0.500173\pi$
$101$	1.03437e10	−	8.67940e9i	0.984168	−	0.825815i	0.984713	+	0.174185i	$0.0557290\pi$
$102$	−1.23738e10	+	4.61795e10i	−1.12073	+	4.18262i
$103$	3.20083e9	+	1.19456e10i	0.276106	+	1.03044i	0.955097	+	0.296295i	$0.0957511\pi$
$103$	3.20083e9	+	1.19456e10i	0.276106	+	1.03044i	−0.678990	+	0.734147i	$0.737582\pi$
$104$	9.96273e9	−	1.75670e9i	0.818864	−	0.144388i
$105$	−1.01939e10	−	2.95198e9i	−0.798721	−	0.231296i
$106$	−2.12654e10	+	3.68327e10i	−1.58907	+	2.75235i
$107$	−6.57964e9	+	2.45555e10i	−0.469119	+	1.75078i	0.173740	+	0.984792i	$0.444415\pi$
$107$	−6.57964e9	+	2.45555e10i	−0.469119	+	1.75078i	−0.642859	+	0.765985i	$0.722252\pi$
$108$	1.72949e9	−	1.97682e10i	0.117706	−	1.34539i
$109$	5.47400e9	+	1.50397e10i	0.355772	+	0.977476i	0.980480	+	0.196618i	$0.0629958\pi$
$109$	5.47400e9	+	1.50397e10i	0.355772	+	0.977476i	−0.624708	+	0.780859i	$0.714782\pi$
$110$	−3.21012e10	−	6.44444e8i	−1.99323	−	0.0400149i
$111$	−1.42922e10	−	1.19925e10i	−0.848170	−	0.711699i
$112$	2.79092e10	−	1.95422e10i	1.58364	−	1.10888i
$113$	2.32684e10	−	2.32684e10i	1.26291	−	1.26291i	0.313241	−	0.949674i	$-0.398585\pi$
$113$	2.32684e10	−	2.32684e10i	1.26291	−	1.26291i	0.949674	−	0.313241i	$-0.101415\pi$
$114$	3.88886e10	+	4.09139e10i	2.01975	+	2.12494i
$115$	−1.01765e9	−	2.98082e9i	−0.0505953	−	0.148199i
$116$	9.05616e9	−	5.13600e10i	0.431176	−	2.44532i
$117$	−6.50200e8	−	7.43182e9i	−0.0296563	−	0.338974i
$118$	−1.47920e10	+	6.89761e9i	−0.646571	+	0.301501i
$119$	6.56866e9	+	1.80472e10i	0.275259	+	0.756269i
$120$	−1.19732e11	+	2.95197e10i	−4.81176	+	1.18633i
$121$	−9.98478e8	−	1.72942e9i	−0.0384957	−	0.0666765i
$122$	7.22287e10	−	1.93536e10i	2.67246	−	0.716083i
$123$	−5.41049e10	−	3.78847e10i	−1.92181	−	1.34567i
$124$	−8.87470e10	+	1.56485e10i	−3.02723	+	0.533782i
$125$	9.65823e9	−	2.89489e10i	0.316481	−	0.948599i
$126$	−2.20885e10	−	3.82585e10i	−0.695527	−	1.20469i
$127$	4.07198e10	+	3.56252e9i	1.23250	+	0.107830i	0.684728	−	0.728799i	$-0.259921\pi$
$127$	4.07198e10	+	3.56252e9i	1.23250	+	0.107830i	0.547771	+	0.836628i	$0.315476\pi$
$128$	4.04412e10	−	8.67264e10i	1.17699	−	2.52407i
$129$	5.99768e9	−	1.64785e10i	0.167894	−	0.461285i
$130$	−1.67036e10	+	7.38457e9i	−0.449877	+	0.198888i
$131$	2.09441e9	−	1.18780e10i	0.0542881	−	0.307883i	−0.945558	−	0.325455i	$-0.894483\pi$
$131$	2.09441e9	−	1.18780e10i	0.0542881	−	0.307883i	0.999846	+	0.0175720i	$0.00559363\pi$
$132$	−1.20743e11	−	1.20743e11i	−3.01296	−	3.01296i
$133$	2.22242e10	+	4.50290e9i	0.534032	+	0.108202i
$134$			6.60187e10i			1.52807i
$135$	3.46287e9	+	2.22406e10i	0.0772268	+	0.495996i
$136$	1.70953e11	+	1.43446e11i	3.67436	+	3.08315i
$137$	−3.03610e10	−	6.51094e10i	−0.629091	−	1.34909i	−0.919841	−	0.392290i	$-0.871683\pi$
$137$	−3.03610e10	−	6.51094e10i	−0.629091	−	1.34909i	0.290751	−	0.956799i	$-0.406095\pi$
$138$	9.71062e9	−	2.08245e10i	0.194022	−	0.416082i
$139$	1.57323e10	+	1.87491e10i	0.303193	+	0.361331i	0.896032	−	0.443990i	$-0.146437\pi$
$139$	1.57323e10	+	1.87491e10i	0.303193	+	0.361331i	−0.592839	+	0.805321i	$0.701993\pi$
$140$	−5.18819e10	+	5.93685e10i	−0.964663	+	1.10386i
$141$	−3.49576e10	+	6.05484e10i	−0.627258	+	1.08644i
$142$	6.05921e10	−	8.65344e10i	1.04948	−	1.49881i
$143$	−1.30158e10	−	9.11376e9i	−0.217666	−	0.152411i
$144$	−2.52833e11	−	1.45973e11i	−4.08340	−	2.35755i
$145$	3.97193e9	+	5.90227e10i	0.0619672	+	0.920829i
$146$	−1.14496e11	+	9.60736e10i	−1.72594	+	1.44824i
$147$	6.67512e10	+	3.11266e10i	0.972461	+	0.453466i
$148$	−1.25620e11	+	5.85776e10i	−1.76909	+	0.824942i
$149$	−2.54563e9	+	3.03376e9i	−0.0346628	+	0.0413096i	−0.783097	−	0.621899i	$-0.786361\pi$
$149$	−2.54563e9	+	3.03376e9i	−0.0346628	+	0.0413096i	0.748435	+	0.663209i	$0.230806\pi$
$150$	1.97111e11	−	1.03485e11i	2.59570	−	1.36276i
$151$	1.26084e11			1.60611			0.803056	−	0.595903i	$-0.203206\pi$
$151$	1.26084e11			1.60611			0.803056	+	0.595903i	$0.203206\pi$
$152$	2.49803e11	−	8.38068e10i	3.07879	−	1.03291i
$153$	1.16367e11	−	1.16367e11i	1.38795	−	1.38795i
$154$	−9.26625e10	−	1.63389e10i	−1.06979	−	0.188634i
$155$	9.34895e10	−	4.13311e10i	1.04497	−	0.461975i
$156$	−9.12706e10	−	3.32198e10i	−0.987888	−	0.359562i
$157$	−5.64374e10	−	2.63172e10i	−0.591656	−	0.275894i	0.103643	−	0.994615i	$-0.466950\pi$
$157$	−5.64374e10	−	2.63172e10i	−0.591656	−	0.275894i	−0.695299	+	0.718721i	$0.744728\pi$
$158$	−4.71273e9	+	5.38667e10i	−0.0478616	+	0.547060i
$159$	2.22192e11	−	1.28283e11i	2.18647	−	1.26236i
$160$	−7.23607e10	+	3.67126e11i	−0.690085	+	3.50119i
$161$	−1.60284e9	−	9.09013e9i	−0.0148170	−	0.0840313i
$162$	6.92022e10	−	9.88309e10i	0.620218	−	0.885764i
$163$	1.41593e10	+	5.28432e10i	0.123056	+	0.459252i	0.999763	−	0.0217734i	$-0.00693123\pi$
$163$	1.41593e10	+	5.28432e10i	0.123056	+	0.459252i	−0.876707	+	0.481025i	$0.840265\pi$
$164$	−4.24955e11	+	2.45348e11i	−3.58198	+	2.06806i
$165$	1.65762e11	+	1.00192e11i	1.35539	+	0.819240i
$166$	1.38248e11	−	5.03180e10i	1.09677	−	0.399193i
$167$	−4.66710e10	−	1.00086e11i	−0.359307	−	0.770535i	−0.999996	−	0.00273555i	$-0.999129\pi$
$167$	−4.66710e10	−	1.00086e11i	−0.359307	−	0.770535i	0.640690	−	0.767800i	$-0.278649\pi$
$168$	−3.60008e11	+	3.14966e10i	−2.69008	+	0.235352i
$169$	1.26863e11	+	2.23694e10i	0.920244	+	0.162264i
$170$	−3.61638e11	−	1.77557e11i	−2.54701	−	1.25053i
$171$	−4.55117e10	−	1.88899e11i	−0.311274	−	1.29196i
$172$	−9.21206e10	−	9.21206e10i	−0.611948	−	0.611948i
$173$	2.99597e10	+	4.27869e10i	0.193334	+	0.276109i	0.904102	−	0.427317i	$-0.140541\pi$
$173$	2.99597e10	+	4.27869e10i	0.193334	+	0.276109i	−0.710768	+	0.703427i	$0.751652\pi$
$174$	−2.77390e11	+	3.30581e11i	−1.73918	+	2.07268i
$175$	4.10182e10	−	7.94708e10i	0.249912	−	0.484192i
$176$	−5.84312e11	+	2.12672e11i	−3.46004	+	1.25935i
$177$	9.80820e10	+	8.58107e9i	0.564577	+	0.0493941i
$178$	6.04939e11	+	1.62093e11i	3.38541	+	0.907118i
$179$	2.68507e11	+	1.55023e11i	1.46114	+	0.843588i	0.999064	−	0.0432545i	$-0.0137726\pi$
$179$	2.68507e11	+	1.55023e11i	1.46114	+	0.843588i	0.462073	+	0.886842i	$0.347106\pi$
$180$	6.48936e11	+	1.87920e11i	3.43431	+	0.994515i
$181$	2.23628e10	+	1.26826e11i	0.115115	+	0.652852i	0.986693	+	0.162595i	$0.0519862\pi$
$181$	2.23628e10	+	1.26826e11i	0.115115	+	0.652852i	−0.871577	+	0.490258i	$0.836903\pi$
$182$	−5.16968e10	+	1.38521e10i	−0.258885	+	0.0693679i
$183$	−4.35718e11	−	1.16750e11i	−2.12300	−	0.568856i
$184$	−6.89418e10	−	8.21617e10i	−0.326884	−	0.389565i
$185$	1.22442e11	−	9.86218e10i	0.565031	−	0.455108i
$186$	7.00709e11	+	2.55037e11i	3.14755	+	1.14561i
$187$	−3.05490e10	−	3.49177e11i	−0.133595	−	1.52699i
$188$	2.97922e11	+	4.25477e11i	1.26857	+	1.81170i
$189$			6.59617e10i			0.273516i
$190$	−4.01640e11	+	2.54850e11i	−1.62207	+	1.02924i
$191$	1.37237e11			0.539890			0.269945	−	0.962876i	$-0.412995\pi$
$191$	1.37237e11			0.539890			0.269945	+	0.962876i	$0.412995\pi$
$192$	−1.07876e12	+	7.55358e11i	−4.13447	+	2.89499i
$193$	−4.22924e11	+	3.70010e10i	−1.57934	+	0.138174i	−0.842802	−	0.538223i	$-0.819096\pi$
$193$	−4.22924e11	+	3.70010e10i	−1.57934	+	0.138174i	−0.736537	+	0.676397i	$0.763540\pi$
$194$	−6.36063e10	+	1.74757e11i	−0.231468	+	0.635953i
$195$	1.09538e11	+	1.18031e10i	0.388500	+	0.0418622i
$196$	4.19157e11	−	3.51715e11i	1.44909	−	1.21593i
$197$	−1.59498e10	+	5.95253e10i	−0.0537555	+	0.200618i	−0.987581	−	0.157110i	$-0.949782\pi$
$197$	−1.59498e10	+	5.95253e10i	−0.0537555	+	0.200618i	0.933826	+	0.357729i	$0.116449\pi$
$198$	2.08674e11	+	7.78784e11i	0.685714	+	2.55912i
$199$	2.38122e11	−	4.19873e10i	0.763016	−	0.134540i	0.221419	−	0.975179i	$-0.428931\pi$
$199$	2.38122e11	−	4.19873e10i	0.763016	−	0.134540i	0.541597	+	0.840638i	$0.317820\pi$
$200$	−4.89491e10	−	1.03802e12i	−0.152966	−	3.24383i
$201$	1.99128e11	−	3.44900e11i	0.606949	−	1.05127i
$202$	−2.14836e11	+	8.01780e11i	−0.638779	+	2.38396i
$203$	−1.51091e10	+	1.72698e11i	−0.0438288	+	0.500965i
$204$	−7.32810e11	−	2.01338e12i	−2.07415	−	5.69869i
$205$	4.01391e11	−	3.85592e11i	1.10866	−	1.06502i
$206$	−5.82384e11	−	4.88678e11i	−1.56990	−	1.31731i
$207$	−6.47894e10	+	4.53660e10i	−0.170472	+	0.119366i
$208$	−2.50098e11	+	2.50098e11i	−0.642383	+	0.642383i
$209$	−3.70513e11	−	1.84358e11i	−0.929120	−	0.462307i
$210$	6.17415e11	−	2.10786e11i	1.51175	−	0.516113i
$211$	−6.60681e10	+	3.74691e11i	−0.157972	+	0.895903i	0.798047	+	0.602596i	$0.205867\pi$
$211$	−6.60681e10	+	3.74691e11i	−0.157972	+	0.895903i	−0.956018	+	0.293307i	$0.905244\pi$
$212$	−1.66124e11	−	1.89881e12i	−0.387931	−	4.43407i
$213$	−5.77557e11	+	2.69319e11i	−1.31734	+	0.614285i
$214$	−5.34499e11	−	1.46852e12i	−1.19091	−	3.27199i
$215$	1.26467e11	+	7.64407e10i	0.275287	+	0.166392i
$216$	3.83229e11	+	6.63772e11i	0.815060	+	1.41173i
$217$	2.89345e11	−	7.75296e10i	0.601335	−	0.161127i
$218$	−8.05948e11	−	5.64331e11i	−1.63691	−	1.14618i
$219$	8.87939e11	−	1.56568e11i	1.76264	−	0.310800i
$220$	1.19504e12	−	8.01519e11i	2.31883	−	1.55525i
$221$	−9.96870e10	−	1.72663e11i	−0.189094	−	0.327520i
$222$	1.14256e12	+	9.99607e10i	2.11891	+	0.185381i
$223$	−1.04430e11	+	2.23950e11i	−0.189365	+	0.406095i	−0.977952	−	0.208828i	$-0.933035\pi$
$223$	−1.04430e11	+	2.23950e11i	−0.189365	+	0.406095i	0.788587	+	0.614923i	$0.210813\pi$
$224$	−3.75048e11	+	1.03044e12i	−0.665039	+	1.82718i
$225$	−7.65710e11	−	3.07562e10i	−1.32786	−	0.0533360i
$226$	−3.51270e11	+	1.99215e12i	−0.595797	+	3.37893i
$227$	1.10009e11	+	1.10009e11i	0.182516	+	0.182516i	0.792451	−	0.609935i	$-0.208805\pi$
$227$	1.10009e11	+	1.10009e11i	0.182516	+	0.182516i	−0.609935	+	0.792451i	$0.708805\pi$
$228$	−2.47936e12	−	5.02351e11i	−4.02407	−	0.815330i
$229$			1.98345e11i			0.314952i	0.987523	+	0.157476i	$0.0503357\pi$
$229$			1.98345e11i			0.314952i	−0.987523	+	0.157476i	$0.949664\pi$
$230$	1.56348e11	+	1.14221e11i	0.242915	+	0.177462i
$231$	4.34812e11	+	3.64850e11i	0.661061	+	0.554696i
$232$	8.51311e11	+	1.82564e12i	1.26663	+	2.71629i
$233$	1.12158e11	−	2.40524e11i	0.163324	−	0.350250i	−0.807565	−	0.589779i	$-0.799215\pi$
$233$	1.12158e11	−	2.40524e11i	0.163324	−	0.350250i	0.970889	+	0.239528i	$0.0769928\pi$
$234$	2.94787e11	+	3.51313e11i	0.420173	+	0.500743i
$235$	−4.43635e11	−	3.87691e11i	−0.618994	−	0.540936i
$236$	3.65725e11	−	6.33455e11i	0.499568	−	0.865278i
$237$	1.87095e11	−	2.67200e11i	0.250219	−	0.357350i
$238$	−9.67117e11	−	6.77183e11i	−1.26647	−	0.886790i
$239$	−3.37204e11	−	1.94685e11i	−0.432418	−	0.249656i	0.267958	−	0.963430i	$-0.413651\pi$
$239$	−3.37204e11	−	1.94685e11i	−0.432418	−	0.249656i	−0.700376	+	0.713774i	$0.746984\pi$
$240$	2.83708e12	−	3.24647e12i	3.56300	−	4.07714i
$241$	−2.70948e11	+	2.27353e11i	−0.333274	+	0.279650i	−0.794032	−	0.607876i	$-0.792022\pi$
$241$	−2.70948e11	+	2.27353e11i	−0.333274	+	0.279650i	0.460758	+	0.887526i	$0.347577\pi$
$242$	1.11259e11	+	5.18808e10i	0.134047	+	0.0625071i
$243$	−1.04509e12	+	4.87336e11i	−1.23346	+	0.575171i
$244$	−2.15411e12	+	2.56717e12i	−2.49069	+	2.96829i
$245$	−3.66125e11	+	5.01162e11i	−0.414762	+	0.567737i
$246$	4.06033e12			4.50699
$247$	−2.35323e11	−	5.97236e9i	−0.255965	−	0.00649623i
$248$	2.46124e12	−	2.46124e12i	2.62358	−	2.62358i
$249$	−8.74014e11	−	1.54112e11i	−0.913107	−	0.161005i
$250$	5.34383e11	+	1.79831e12i	0.547208	+	1.84147i
$251$	−1.10029e11	−	4.00473e10i	−0.110443	−	0.0401980i	0.286207	−	0.958168i	$-0.407605\pi$
$251$	−1.10029e11	−	4.00473e10i	−0.110443	−	0.0401980i	−0.396651	+	0.917970i	$0.629828\pi$
$252$	1.79435e12	+	8.36719e11i	1.76565	+	0.823336i
$253$	−1.46822e10	+	1.67818e11i	−0.0141641	+	0.161896i
$254$	−2.17611e12	+	1.25638e12i	−2.05832	+	1.18837i
$255$	1.35374e12	+	2.01839e12i	1.25555	+	1.87199i
$256$	3.90030e11	+	2.21197e12i	0.354730	+	2.01178i
$257$	−1.57276e11	+	2.24614e11i	−0.140281	+	0.200341i	−0.883145	−	0.469101i	$-0.844578\pi$
$257$	−1.57276e11	+	2.24614e11i	−0.140281	+	0.200341i	0.742864	+	0.669442i	$0.233467\pi$
$258$	2.79009e11	+	1.04127e12i	0.244073	+	0.910891i
$259$	3.99010e11	−	2.30369e11i	0.342362	−	0.197663i
$260$	4.23387e11	−	7.00472e11i	0.356345	−	0.589555i
$261$	1.39589e12	−	5.08061e11i	1.15252	−	0.419482i
$262$	3.13349e11	+	6.71979e11i	0.253818	+	0.544314i
$263$	1.25415e12	−	1.09724e11i	0.996712	−	0.0872010i	0.422890	−	0.906181i	$-0.361016\pi$
$263$	1.25415e12	−	1.09724e11i	0.996712	−	0.0872010i	0.573822	+	0.818980i	$0.305460\pi$
$264$	6.49524e12	+	1.14529e12i	5.06496	+	0.893089i
$265$	6.98534e11	+	2.04608e12i	0.534513	+	1.56565i
$266$	−1.27790e12	+	5.56871e11i	−0.959595	+	0.418164i
$267$	−2.67145e12	−	2.67145e12i	−1.96875	−	1.96875i
$268$	−1.69704e12	−	2.42363e12i	−1.22749	−	1.75304i
$269$	7.84124e11	−	9.34483e11i	0.556703	−	0.663453i	−0.412142	−	0.911120i	$-0.635219\pi$
$269$	7.84124e11	−	9.34483e11i	0.556703	−	0.663453i	0.968845	+	0.247667i	$0.0796638\pi$
$270$	−9.58579e11	−	9.97855e11i	−0.668050	−	0.695422i
$271$	−2.45672e12	+	8.94172e11i	−1.68077	+	0.611751i	−0.993415	−	0.114569i	$-0.963451\pi$
$271$	−2.45672e12	+	8.94172e11i	−1.68077	+	0.611751i	−0.687357	+	0.726320i	$0.741229\pi$
$272$	−7.77258e12	−	6.80012e11i	−5.22060	−	0.456743i
$273$	3.11859e11	+	8.35624e10i	0.205658	+	0.0551058i
$274$	3.82461e12	+	2.20814e12i	2.47648	+	1.42980i
$275$	−1.09848e12	+	1.20721e12i	−0.698442	+	0.767574i
$276$	1.78815e11	+	1.01411e12i	0.111650	+	0.633198i
$277$	−9.13084e11	+	2.44660e11i	−0.559902	+	0.150025i	−0.527661	−	0.849455i	$-0.676931\pi$
$277$	−9.13084e11	+	2.44660e11i	−0.559902	+	0.150025i	−0.0322407	+	0.999480i	$0.510264\pi$
$278$	−1.45331e12	−	3.89414e11i	−0.875256	−	0.234524i
$279$	−1.64991e12	−	1.96628e12i	−0.975975	−	1.16312i
$280$	3.26255e11	−	3.02780e12i	0.189569	−	1.75929i
$281$	2.91951e10	+	1.06261e10i	0.0166640	+	0.00606518i	0.350339	−	0.936623i	$-0.386066\pi$
$281$	2.91951e10	+	1.06261e10i	0.0166640	+	0.00606518i	−0.333675	+	0.942688i	$0.608289\pi$
$282$	−3.74591e11	−	4.28159e12i	−0.210045	−	2.40082i
$283$	−8.82820e11	−	1.26080e12i	−0.486340	−	0.694565i	0.498723	−	0.866762i	$-0.333803\pi$
$283$	−8.82820e11	−	1.26080e12i	−0.486340	−	0.694565i	−0.985063	+	0.172196i	$0.944914\pi$
$284$			4.73434e12i			2.56252i
$285$	2.86697e12	−	1.19966e11i	1.52475	−	0.0638019i
$286$	9.76777e11			0.510464
$287$	1.33612e12	−	9.35563e11i	0.686178	−	0.480467i
$288$	9.36052e12	−	8.18940e11i	4.72430	−	0.413323i
$289$	8.14722e11	−	2.23843e12i	0.404129	−	1.11034i
$290$	−2.28114e12	−	2.83211e12i	−1.11215	−	1.38077i
$291$	8.59404e11	−	7.21125e11i	0.411844	−	0.345578i
$292$	1.73367e12	−	6.47016e12i	0.816682	−	3.04790i
$293$	−1.29867e11	−	4.84672e11i	−0.0601398	−	0.224445i	0.929315	−	0.369289i	$-0.120399\pi$
$293$	−1.29867e11	−	4.84672e11i	−0.0601398	−	0.224445i	−0.989455	+	0.144844i	$0.953732\pi$
$294$	−4.45886e12	+	7.86218e11i	−2.02996	+	0.357937i
$295$	−2.30779e11	+	7.96938e11i	−0.103297	+	0.356710i
$296$	2.67682e12	−	4.63639e12i	1.17804	−	2.04043i
$297$	3.11576e11	−	1.16282e12i	0.134829	−	0.503187i
$298$	2.12184e10	−	2.42528e11i	0.00902884	−	0.103200i
$299$	3.27728e10	+	9.00426e10i	0.0137138	+	0.0376783i
$300$	−4.57606e12	+	8.86589e12i	−1.88315	+	3.64852i
$301$	3.31738e11	+	2.78361e11i	0.134265	+	0.112662i
$302$	−6.34913e12	+	4.44571e12i	−2.52743	+	1.76973i
$303$	3.54072e12	−	3.54072e12i	1.38637	−	1.38637i
$304$	−5.47358e12	+	7.40960e12i	−2.10816	+	2.85382i
$305$	1.67530e12	−	3.41217e12i	0.634738	−	1.29280i
$306$	−1.75673e12	+	9.96292e12i	−0.654784	+	3.71347i
$307$	−3.31099e11	−	3.78448e12i	−0.121413	−	1.38776i	−0.775503	−	0.631344i	$-0.782504\pi$
$307$	−3.31099e11	−	3.78448e12i	−0.121413	−	1.38776i	0.654089	−	0.756417i	$-0.273052\pi$
$308$	3.82175e12	−	1.78211e12i	1.37882	−	0.642957i
$309$	1.56856e12	+	4.30959e12i	0.556813	+	1.52983i
$310$	−3.25046e12	+	5.37771e12i	−1.13537	+	1.87840i
$311$	1.04549e12	+	1.81084e12i	0.359349	+	0.622411i	0.987852	−	0.155396i	$-0.0496654\pi$
$311$	1.04549e12	+	1.81084e12i	0.359349	+	0.622411i	−0.628503	+	0.777807i	$0.716332\pi$
$312$	3.62372e12	−	9.70974e11i	1.22569	−	0.328424i
$313$	2.78535e12	+	1.95032e12i	0.927166	+	0.649208i	0.936470	−	0.350748i	$-0.114073\pi$
$313$	2.78535e12	+	1.95032e12i	0.927166	+	0.649208i	−0.00930410	+	0.999957i	$0.502962\pi$
$314$	3.76992e12	−	6.64739e11i	1.23505	−	0.217772i
$315$	−2.20334e12	−	4.34279e11i	−0.710442	−	0.140028i
$316$	−1.21166e12	−	2.09866e12i	−0.384544	−	0.666049i
$317$	5.35338e12	+	4.68360e11i	1.67237	+	0.146313i	0.883558	−	0.468323i	$-0.155141\pi$
$317$	5.35338e12	+	4.68360e11i	1.67237	+	0.146313i	0.788811	+	0.614636i	$0.210697\pi$
$318$	−6.66554e12	+	1.42943e13i	−2.04974	+	4.39569i
$319$	1.08211e12	−	2.97307e12i	0.327580	−	0.900019i
$320$	−4.48721e12	−	1.01499e13i	−1.33729	−	3.02491i
$321$	−1.63704e12	+	9.28414e12i	−0.480325	+	2.72406i
$322$	4.01230e11	+	4.01230e11i	0.115908	+	0.115908i
$323$	−3.23585e12	−	4.06130e12i	−0.920399	−	1.15519i
$324$			5.40708e12i			1.51439i
$325$	−2.76086e11	+	8.86402e11i	−0.0761427	+	0.244464i
$326$	−2.57625e12	−	2.16173e12i	−0.699681	−	0.587102i
$327$	2.50834e12	+	5.37914e12i	0.670883	+	1.43871i
$328$	8.00989e12	−	1.71773e13i	2.10988	−	4.52465i
$329$	−1.10981e12	−	1.32262e12i	−0.287918	−	0.343127i
$330$	−1.18799e13	+	7.99457e11i	−3.03558	+	0.204280i
$331$	2.80293e12	−	4.85482e12i	0.705461	−	1.22189i	−0.261064	−	0.965321i	$-0.584073\pi$
$331$	2.80293e12	−	4.85482e12i	0.705461	−	1.22189i	0.966525	−	0.256572i	$-0.0825932\pi$
$332$	−3.78180e12	+	5.40096e12i	−0.937578	+	1.33900i
$333$	−3.23399e12	−	2.26446e12i	−0.789800	−	0.553024i
$334$	5.87921e12	+	3.39437e12i	1.41445	+	0.816632i
$335$	2.52706e12	+	2.20839e12i	0.598952	+	0.523422i
$336$	9.67879e12	−	8.12147e12i	2.26008	−	1.89644i
$337$	−5.78799e10	−	2.69898e10i	−0.0133161	−	0.00620941i	0.415949	−	0.909388i	$-0.363450\pi$
$337$	−5.78799e10	−	2.69898e10i	−0.0133161	−	0.00620941i	−0.429265	+	0.903179i	$0.641227\pi$
$338$	−7.17711e12	+	3.34674e12i	−1.62692	+	0.758646i
$339$	7.84392e12	−	9.34802e12i	1.75200	−	2.08795i
$340$	1.78404e13	−	2.77776e12i	3.92654	−	0.611363i
$341$	−5.46698e12			−1.18570
$342$	8.95235e12	+	7.90752e12i	1.91340	+	1.69009i
$343$	−3.11530e12	+	3.11530e12i	−0.656189	+	0.656189i
$344$	4.95552e12	+	8.73792e11i	1.02872	+	0.181391i
$345$	−4.72290e11	−	1.06830e12i	−0.0966303	−	0.218574i
$346$	−3.01732e12	−	1.09822e12i	−0.608473	−	0.221466i
$347$	−7.85469e12	−	3.66270e12i	−1.56128	−	0.728038i	−0.565940	−	0.824446i	$-0.691487\pi$
$347$	−7.85469e12	−	3.66270e12i	−1.56128	−	0.728038i	−0.995342	+	0.0964082i	$0.969265\pi$
$348$	1.68560e12	−	1.92665e13i	0.330262	−	3.77491i
$349$	−7.42374e12	+	4.28610e12i	−1.43382	+	0.827819i	−0.997410	−	0.0719273i	$-0.977085\pi$
$349$	−7.42374e12	+	4.28610e12i	−1.43382	+	0.827819i	−0.436414	+	0.899746i	$0.643752\pi$
$350$	7.36604e11	+	5.44815e12i	0.140247	+	1.03731i
$351$	−1.18906e11	−	6.74352e11i	−0.0223187	−	0.126576i
$352$	1.14790e13	−	1.63937e13i	2.12417	−	3.03363i
$353$	6.63330e11	+	2.47558e12i	0.121020	+	0.451651i	0.999667	−	0.0258206i	$-0.00821985\pi$
$353$	6.63330e11	+	2.47558e12i	0.121020	+	0.451651i	−0.878647	+	0.477472i	$0.841553\pi$
$354$	−5.24162e12	+	3.02625e12i	−0.942864	+	0.544363i
$355$	−1.28550e12	−	5.21400e12i	−0.227998	−	0.924761i
$356$	−2.63747e13	+	9.59962e12i	−4.61252	+	1.67882i
$357$	3.00994e12	+	6.45484e12i	0.519059	+	1.11313i
$358$	−1.89871e13	+	1.66116e12i	−3.22882	+	0.282485i
$359$	−8.56375e11	−	1.51002e11i	−0.143612	−	0.0253227i	0.101380	−	0.994848i	$-0.467674\pi$
$359$	−8.56375e11	−	1.51002e11i	−0.143612	−	0.0253227i	−0.244992	+	0.969525i	$0.578785\pi$
$360$	−2.46953e13	+	8.43098e12i	−4.08415	+	1.39433i
$361$	−6.08415e12	+	7.56998e11i	−0.992348	+	0.123469i
$362$	−5.59797e12	−	5.59797e12i	−0.900508	−	0.900508i
$363$	−4.24761e11	−	6.06621e11i	−0.0673924	−	0.0962464i
$364$	1.54178e12	−	1.83742e12i	0.241276	−	0.287542i
$365$	−1.52501e11	+	7.59643e12i	−0.0235402	+	1.17259i
$366$	2.60577e13	−	9.48423e12i	3.96763	−	1.44410i
$367$	−3.24785e12	−	2.84150e11i	−0.487827	−	0.0426793i	−0.159411	−	0.987212i	$-0.550959\pi$
$367$	−3.24785e12	−	2.84150e11i	−0.487827	−	0.0426793i	−0.328416	+	0.944533i	$0.606515\pi$
$368$	3.62208e12	+	9.70534e11i	0.536685	+	0.143804i
$369$	−1.21041e13	−	6.98831e12i	−1.76930	−	1.02150i
$370$	−2.68834e12	+	9.28352e12i	−0.387682	+	1.33876i
$371$	1.10021e12	+	6.23962e12i	0.156534	+	0.887746i
$372$	−3.22797e13	+	8.64933e12i	−4.53122	+	1.21414i
$373$	−4.15968e12	−	1.11458e12i	−0.576124	−	0.154372i	−0.0410202	−	0.999158i	$-0.513061\pi$
$373$	−4.15968e12	−	1.11458e12i	−0.576124	−	0.154372i	−0.535104	+	0.844786i	$0.679727\pi$
$374$	1.38503e13	+	1.65061e13i	1.89278	+	2.25573i
$375$	2.63236e12	−	1.10067e13i	0.354968	−	1.48423i
$376$	−1.88523e13	−	6.86166e12i	−2.50856	−	0.913040i
$377$	−1.56849e11	−	1.79280e12i	−0.0205957	−	0.235410i
$378$	−2.32580e12	−	3.32159e12i	−0.301379	−	0.430414i
$379$		−	1.02255e13i		−	1.30764i	−0.756652	−	0.653818i	$-0.773166\pi$
$379$		−	1.02255e13i		−	1.30764i	0.756652	−	0.653818i	$-0.226834\pi$
$380$	8.19366e12	−	1.96802e13i	1.03409	−	2.48378i
$381$	1.51581e13			1.88808
$382$	−6.91076e12	+	4.83897e12i	−0.849589	+	0.594889i
$383$	1.63395e12	−	1.42952e11i	0.198264	−	0.0173459i	0.0124090	−	0.999923i	$-0.496050\pi$
$383$	1.63395e12	−	1.42952e11i	0.198264	−	0.0173459i	0.185855	+	0.982577i	$0.440494\pi$
$384$	1.21370e13	−	3.33462e13i	1.45364	−	3.99383i
$385$	−3.72507e12	+	3.00038e12i	−0.440383	+	0.354709i
$386$	1.99922e13	−	1.67755e13i	2.33305	−	1.95766i
$387$	9.60413e11	−	3.58431e12i	0.110638	−	0.412906i
$388$	−2.15714e12	−	8.05057e12i	−0.245313	−	0.915520i
$389$	7.26318e12	−	1.28069e12i	0.815415	−	0.143780i	0.249639	−	0.968339i	$-0.419688\pi$
$389$	7.26318e12	−	1.28069e12i	0.815415	−	0.143780i	0.565776	+	0.824559i	$0.308577\pi$
$390$	−5.93210e12	+	3.26793e12i	−0.657484	+	0.362201i
$391$	−1.05688e12	+	1.83058e12i	−0.115649	+	0.200311i
$392$	−5.46998e12	+	2.04142e13i	−0.590956	+	2.20548i
$393$	3.89826e11	−	4.45573e12i	0.0415823	−	0.475288i
$394$	−1.29568e12	−	3.55986e12i	−0.136464	−	0.374932i
$395$	1.90426e12	+	1.98229e12i	0.198035	+	0.206149i
$396$	−2.76797e13	−	2.32260e13i	−2.84240	−	2.38506i
$397$	3.83631e12	−	2.68622e12i	0.389011	−	0.272388i	−0.362667	−	0.931919i	$-0.618134\pi$
$397$	3.83631e12	−	2.68622e12i	0.389011	−	0.272388i	0.751678	+	0.659531i	$0.229245\pi$
$398$	−1.05105e13	+	1.05105e13i	−1.05246	+	1.05246i
$399$	8.35574e12	+	9.45195e11i	0.826267	+	0.0934667i
$400$	2.22179e13	+	2.87468e13i	2.16972	+	2.80730i
$401$	−2.67415e12	+	1.51658e13i	−0.257907	+	1.46266i	0.530592	+	0.847628i	$0.321970\pi$
$401$	−2.67415e12	+	1.51658e13i	−0.257907	+	1.46266i	−0.788499	+	0.615036i	$0.789141\pi$
$402$	2.13377e12	+	2.43891e13i	0.203244	+	2.32309i
$403$	−2.81832e12	+	1.31420e12i	−0.265134	+	0.123634i
$404$	−1.27232e13	−	3.49568e13i	−1.18220	−	3.24807i
$405$	−1.46817e12	−	5.95491e12i	−0.134741	−	0.546513i
$406$	−5.32847e12	−	9.22919e12i	−0.483028	−	0.836630i
$407$	−8.12219e12	+	2.17633e12i	−0.727279	+	0.194874i
$408$	6.77908e13	+	4.74676e13i	5.99611	+	4.19852i
$409$	−1.48921e13	+	2.62589e12i	−1.30119	+	0.229435i	−0.780954	−	0.624588i	$-0.785267\pi$
$409$	−1.48921e13	+	2.62589e12i	−1.30119	+	0.229435i	−0.520235	+	0.854023i	$0.674156\pi$
$410$	−6.61665e12	+	3.35700e13i	−0.571109	+	2.89756i
$411$	−1.33205e13	−	2.30719e13i	−1.13583	−	1.96731i
$412$	3.39417e13	+	2.96952e12i	2.85922	+	0.250150i
$413$	−1.02755e12	+	2.20359e12i	−0.0855170	+	0.183392i
$414$	1.66295e12	−	4.56893e12i	0.136735	−	0.375675i
$415$	2.69845e12	−	6.97503e12i	0.219217	−	0.566638i
$416$	1.97674e12	−	1.12106e13i	0.158665	−	0.899836i
$417$	6.41793e12	+	6.41793e12i	0.508997	+	0.508997i
$418$	2.51581e13	−	3.78063e12i	1.97150	−	0.296267i
$419$		−	8.21190e12i		−	0.635878i	−0.948111	−	0.317939i	$-0.897009\pi$
$419$		−	8.21190e12i		−	0.635878i	0.948111	−	0.317939i	$-0.102991\pi$
$420$	−1.72477e13	+	2.36092e13i	−1.31973	+	1.80648i
$421$	5.99212e12	+	5.02799e12i	0.453075	+	0.380175i	0.840576	−	0.541694i	$-0.182217\pi$
$421$	5.99212e12	+	5.02799e12i	0.453075	+	0.380175i	−0.387500	+	0.921870i	$0.626661\pi$
$422$	−9.88460e12	−	2.11976e13i	−0.738579	−	1.58389i
$423$	−6.25244e12	+	1.34084e13i	−0.461687	+	0.990092i
$424$	4.73229e13	+	5.63972e13i	3.45336	+	4.11555i
$425$	−1.88937e13	+	7.90334e12i	−1.36261	+	0.569988i
$426$	1.95875e13	−	3.39265e13i	1.39615	−	2.41820i
$427$	6.38942e12	−	9.12504e12i	0.450114	−	0.642829i
$428$	5.73712e13	+	4.01718e13i	3.99462	+	2.79706i
$429$	−5.10295e12	−	2.94619e12i	−0.351184	−	0.202756i
$430$	−9.06371e12	+	6.09943e11i	−0.616543	+	0.0414903i
$431$	6.32947e12	−	5.31105e12i	0.425580	−	0.357104i	−0.404701	−	0.914449i	$-0.632624\pi$
$431$	6.32947e12	−	5.31105e12i	0.425580	−	0.357104i	0.830281	+	0.557345i	$0.188180\pi$
$432$	−2.42864e13	−	1.13249e13i	−1.61415	−	0.752691i
$433$	−1.60354e13	+	7.47741e12i	−1.05351	+	0.491260i	−0.870663	−	0.491881i	$-0.836310\pi$
$433$	−1.60354e13	+	7.47741e12i	−1.05351	+	0.491260i	−0.182849	+	0.983141i	$0.558532\pi$
$434$	−1.18366e13	+	1.41064e13i	−0.768740	+	0.916149i
$435$	3.37499e12	+	2.16762e13i	0.216684	+	1.39167i
$436$	4.40937e13			2.79862
$437$	1.19261e12	+	2.19231e12i	0.0748330	+	0.137561i
$438$	−3.91928e13	+	3.91928e13i	−2.43128	+	2.43128i
$439$	−3.90930e12	−	6.89314e11i	−0.239760	−	0.0422761i	0.0524770	−	0.998622i	$-0.483288\pi$
$439$	−3.90930e12	−	6.89314e11i	−0.239760	−	0.0422761i	−0.292237	+	0.956346i	$0.594399\pi$
$440$	−2.00535e13	+	5.18350e13i	−1.21598	+	3.14311i
$441$	1.46453e13	+	5.33046e12i	0.878023	+	0.319574i
$442$	1.11079e13	+	5.17972e12i	0.658449	+	0.307040i
$443$	−2.82943e11	+	3.23405e12i	−0.0165837	+	0.189552i	0.983384	+	0.181536i	$0.0581070\pi$
$443$	−2.82943e11	+	3.23405e12i	−0.0165837	+	0.189552i	−0.999968	+	0.00801562i	$0.997449\pi$
$444$	−4.45142e13	+	2.57003e13i	−2.57979	+	1.48944i
$445$	2.64404e13	−	1.77337e13i	1.51519	−	1.01625i
$446$	−2.63776e12	−	1.49595e13i	−0.149472	−	0.847700i
$447$	−8.42371e11	+	1.20303e12i	−0.0472026	+	0.0674123i
$448$	−8.41719e12	−	3.14134e13i	−0.466420	−	1.74070i
$449$	2.30469e13	−	1.33061e13i	1.26293	−	0.729155i	0.289293	−	0.957241i	$-0.406580\pi$
$449$	2.30469e13	−	1.33061e13i	1.26293	−	0.729155i	0.973641	+	0.228085i	$0.0732465\pi$
$450$	3.96428e13	−	2.54500e13i	2.14833	−	1.37920i
$451$	−2.79733e13	+	1.01814e13i	−1.49920	+	0.545666i
$452$	−3.83136e13	−	8.21639e13i	−2.03077	−	4.35501i
$453$	4.65789e13	−	4.07513e12i	2.44173	−	0.213624i
$454$	−9.41858e12	−	1.66075e12i	−0.488322	−	0.0861043i
$455$	−1.19908e12	+	2.44221e12i	−0.0614879	+	0.125235i
$456$	8.95752e13	−	3.90343e13i	4.54322	−	1.97980i
$457$	−1.28015e13	−	1.28015e13i	−0.642215	−	0.642215i	0.308885	−	0.951099i	$-0.400044\pi$
$457$	−1.28015e13	−	1.28015e13i	−0.642215	−	0.642215i	−0.951099	+	0.308885i	$0.900044\pi$
$458$	−6.99363e12	−	9.98793e12i	−0.347036	−	0.495619i
$459$	9.70951e12	−	1.15713e13i	0.476578	−	0.567964i
$460$	−8.67584e12	−	1.74171e11i	−0.421233	−	0.00845642i
$461$	−2.08917e13	+	7.60395e12i	−1.00339	+	0.365203i	−0.790890	−	0.611958i	$-0.790382\pi$
$461$	−2.08917e13	+	7.60395e12i	−1.00339	+	0.365203i	−0.212498	+	0.977162i	$0.568160\pi$
$462$	−3.47601e13	−	3.04111e12i	−1.65147	−	0.144485i
$463$	3.94173e13	+	1.05618e13i	1.85260	+	0.496402i	0.999672	−	0.0256272i	$-0.00815829\pi$
$463$	3.94173e13	+	1.05618e13i	1.85260	+	0.496402i	0.852927	+	0.522030i	$0.174825\pi$
$464$	−6.09916e13	−	3.52135e13i	−2.83583	−	1.63727i
$465$	3.32017e13	−	1.82905e13i	1.52720	−	0.841318i
$466$	2.83297e12	+	1.60666e13i	0.128918	+	0.731129i
$467$	8.23317e11	−	2.20607e11i	0.0370666	−	0.00993196i	−0.240238	−	0.970714i	$-0.577226\pi$
$467$	8.23317e11	−	2.20607e11i	0.0370666	−	0.00993196i	0.277305	+	0.960782i	$0.410559\pi$
$468$	−1.98527e13	−	5.31950e12i	−0.884279	−	0.236942i
$469$	6.32177e12	+	7.53399e12i	0.278596	+	0.332018i
$470$	3.60097e13	+	3.88017e12i	1.57011	+	0.169185i
$471$	−2.17001e13	−	7.89819e12i	−0.936175	−	0.340740i
$472$	2.46233e12	+	2.81446e13i	0.105108	+	1.20139i
$473$	−4.53324e12	−	6.47413e12i	−0.191471	−	0.273449i
$474$			2.00521e13i			0.838048i
$475$	−3.68010e12	+	2.38990e13i	−0.152192	+	0.988351i
$476$	5.29114e13			2.16528
$477$	4.44726e13	−	3.11400e13i	1.80094	−	1.26103i
$478$	2.38449e13	−	2.08616e12i	0.955556	−	0.0836004i
$479$	−1.05921e13	+	2.91016e13i	−0.420054	+	1.15409i	0.531621	+	0.846982i	$0.321583\pi$
$479$	−1.05921e13	+	2.91016e13i	−0.420054	+	1.15409i	−0.951675	+	0.307106i	$0.900639\pi$
$480$	−1.48662e13	+	1.37965e14i	−0.583437	+	5.41456i
$481$	−3.66396e12	+	3.07442e12i	−0.142307	+	0.119409i
$482$	5.62753e12	−	2.10022e13i	0.216313	−	0.807291i
$483$	−8.85930e11	−	3.30634e12i	−0.0337026	−	0.125780i
$484$	−5.41806e12	+	9.55351e11i	−0.203994	+	0.0359696i
$485$	4.56165e12	+	8.28050e12i	0.169986	+	0.308566i
$486$	3.54437e13	−	6.13903e13i	1.30725	−	2.26422i
$487$	4.26961e12	−	1.59344e13i	0.155863	−	0.581689i	−0.843167	−	0.537652i	$-0.819311\pi$
$487$	4.26961e12	−	1.59344e13i	0.155863	−	0.581689i	0.999030	−	0.0440371i	$-0.0140220\pi$
$488$	1.12814e13	−	1.28947e14i	0.407628	−	4.65921i
$489$	6.93875e12	+	1.90641e13i	0.248163	+	0.681822i
$490$	7.65799e11	−	3.81462e13i	0.0271103	−	1.35042i
$491$	−1.29657e13	−	1.08795e13i	−0.454348	−	0.381244i	0.386698	−	0.922206i	$-0.373616\pi$
$491$	−1.29657e13	−	1.08795e13i	−0.454348	−	0.381244i	−0.841047	+	0.540963i	$0.818060\pi$
$492$	−1.49060e14	+	1.04373e14i	−5.17053	+	3.62045i
$493$	2.80716e13	−	2.80716e13i	0.963900	−	0.963900i
$494$	1.20606e13	−	7.99672e12i	0.409953	−	0.271817i
$495$	3.67906e13	+	1.80634e13i	1.23797	+	0.607819i
$496$	−2.11318e13	+	1.19845e14i	−0.703929	+	3.99218i
$497$	−1.37159e12	−	1.56774e13i	−0.0452317	−	0.517000i
$498$	4.94461e13	−	2.30571e13i	1.61430	−	0.752762i
$499$	−1.15622e13	−	3.17668e13i	−0.373712	−	1.02676i	−0.973914	−	0.226916i	$-0.927136\pi$
$499$	−1.15622e13	−	3.17668e13i	−0.373712	−	1.02676i	0.600203	−	0.799848i	$-0.295087\pi$
$500$	−6.58443e13	−	5.22816e13i	−2.10702	−	1.67301i
$501$	−2.04764e13	−	3.54662e13i	−0.648732	−	1.12364i
$502$	6.95272e12	−	1.86298e12i	0.218090	−	0.0584371i
$503$	2.52415e12	+	1.76743e12i	0.0783925	+	0.0548910i	0.612116	−	0.790768i	$-0.290319\pi$
$503$	2.52415e12	+	1.76743e12i	0.0783925	+	0.0548910i	−0.533723	+	0.845659i	$0.679208\pi$
$504$	−7.53094e13	+	1.32791e13i	−2.31578	+	0.408334i
$505$	2.35040e13	+	3.50438e13i	0.715625	+	1.06698i
$506$	−5.17791e12	−	8.96839e12i	−0.156099	−	0.270372i
$507$	4.75898e13	+	4.16356e12i	1.42061	+	0.124287i
$508$	4.75919e13	−	1.02061e14i	1.40674	−	3.01677i
$509$	4.02786e12	−	1.10665e13i	0.117892	−	0.323907i	−0.866685	−	0.498856i	$-0.833754\pi$
$509$	4.02786e12	−	1.10665e13i	0.117892	−	0.323907i	0.984578	+	0.174949i	$0.0559760\pi$
$510$	−1.39338e14	−	5.39059e13i	−4.03848	−	1.56238i
$511$	−3.86644e12	+	2.19277e13i	−0.110970	+	0.629343i
$512$	−2.83458e13	−	2.83458e13i	−0.805637	−	0.805637i
$513$	−5.67267e12	−	1.69085e13i	−0.159662	−	0.475903i
$514$		−	1.68563e13i		−	0.469835i
$515$	−3.81869e13	+	5.94572e12i	−1.05409	+	0.164123i
$516$	−3.70092e13	−	3.10544e13i	−1.01172	−	0.848936i
$517$	1.33170e13	+	2.85583e13i	0.360539	+	0.773179i
$518$	−1.19699e13	+	2.56695e13i	−0.320953	+	0.688287i
$519$	1.24508e13	+	1.48383e13i	0.330645	+	0.394047i
$520$	2.12265e12	+	3.15425e13i	0.0558293	+	0.829620i
$521$	7.97238e12	−	1.38086e13i	0.207682	−	0.359716i	−0.743302	−	0.668956i	$-0.766741\pi$
$521$	7.97238e12	−	1.38086e13i	0.207682	−	0.359716i	0.950984	+	0.309240i	$0.100075\pi$
$522$	−5.23775e13	+	7.48028e13i	−1.35143	+	1.93004i
$523$	−4.35827e13	−	3.05169e13i	−1.11380	−	0.779888i	−0.136263	−	0.990673i	$-0.543509\pi$
$523$	−4.35827e13	−	3.05169e13i	−1.11380	−	0.779888i	−0.977533	+	0.210784i	$0.932398\pi$
$524$	−2.87770e13	−	1.66144e13i	−0.728432	−	0.420560i
$525$	1.25847e13	−	3.06844e13i	0.315534	−	0.769345i
$526$	−5.92854e13	+	4.97463e13i	−1.47238	+	1.23547i
$527$	−6.21707e13	−	2.89907e13i	−1.52944	−	0.713189i
$528$	−2.08987e14	+	9.74521e13i	−5.09271	+	2.37477i
$529$	−2.59754e13	+	3.09563e13i	−0.627025	+	0.747259i
$530$	−1.07320e14	−	7.84031e13i	−2.56627	−	1.87479i
$531$	2.08341e13			0.493517
$532$	3.25986e13	−	5.32924e13i	0.764963	−	1.25057i
$533$	−1.19732e13	+	1.19732e13i	−0.278339	+	0.278339i
$534$	2.28720e14	+	4.03294e13i	5.26741	+	0.928787i
$535$	−7.40916e13	−	2.86640e13i	−1.69044	−	0.653985i
$536$	1.07388e14	+	3.90859e13i	2.42734	+	0.883478i
$537$	1.04204e14	+	4.85912e13i	2.33353	+	1.08814i
$538$	−6.53586e12	+	7.47052e13i	−0.145008	+	1.65745i
$539$	2.87474e13	−	1.65973e13i	0.631910	−	0.364834i
$540$	6.08410e13	+	1.19918e13i	1.32504	+	0.261165i
$541$	1.17320e13	+	6.65354e13i	0.253154	+	1.43571i	0.800766	+	0.598977i	$0.204426\pi$
$541$	1.17320e13	+	6.65354e13i	0.253154	+	1.43571i	−0.547612	+	0.836733i	$0.684463\pi$
$542$	9.21828e13	−	1.31651e14i	1.97085	−	2.81467i
$543$	1.23605e13	+	4.61301e13i	0.261841	+	0.977204i
$544$	2.17472e14	−	1.25558e14i	4.56467	−	2.63541i
$545$	−4.85612e13	+	1.19726e13i	−1.00997	+	0.249005i
$546$	−1.86505e13	+	6.78821e12i	−0.384350	+	0.139892i
$547$	2.29691e13	+	4.92574e13i	0.469037	+	1.00585i	0.988480	+	0.151349i	$0.0483617\pi$
$547$	2.29691e13	+	4.92574e13i	0.469037	+	1.00585i	−0.519443	+	0.854505i	$0.673861\pi$
$548$	−1.97168e14	+	1.72499e13i	−3.98964	+	0.349048i
$549$	−9.40032e13	−	1.65753e13i	−1.88487	−	0.332353i
$550$	1.27495e13	−	9.95232e13i	0.253326	−	1.97747i
$551$	−1.09789e13	−	4.55686e13i	−0.216173	−	0.897237i
$552$	−2.81245e13	−	2.81245e13i	−0.548769	−	0.548769i
$553$	4.62032e12	+	6.59850e12i	0.0893401	+	0.127591i
$554$	3.73529e13	−	4.45154e13i	0.715773	−	0.853025i
$555$	4.20459e13	−	4.03910e13i	0.798470	−	0.767042i
$556$	6.33630e13	−	2.30622e13i	1.19251	−	0.434038i
$557$	−3.50343e13	−	3.06511e12i	−0.653458	−	0.0571702i	−0.244394	−	0.969676i	$-0.578589\pi$
$557$	−3.50343e13	−	3.06511e12i	−0.653458	−	0.0571702i	−0.409064	+	0.912506i	$0.634145\pi$
$558$	1.52414e14	+	4.08392e13i	2.81744	+	0.754930i
$559$	−3.89327e12	−	2.24778e12i	−0.0713273	−	0.0411808i
$560$	5.13742e13	+	9.32568e13i	0.932836	+	1.69333i
$561$	−2.25713e13	−	1.28008e14i	−0.406201	−	2.30368i
$562$	−1.84483e12	+	4.94321e11i	−0.0329060	+	0.00881714i
$563$	2.11262e13	+	5.66074e12i	0.373490	+	0.100076i	0.440681	−	0.897664i	$-0.354737\pi$
$563$	2.11262e13	+	5.66074e12i	0.373490	+	0.100076i	−0.0671910	+	0.997740i	$0.521404\pi$
$564$	1.23812e14	+	1.47554e14i	2.16954	+	2.58556i
$565$	6.45052e13	+	8.00853e13i	1.12035	+	1.39095i
$566$	8.89111e13	+	3.23610e13i	1.53064	+	0.557108i
$567$	−1.56649e12	−	1.79051e13i	−0.0267309	−	0.305535i
$568$	−1.04886e14	−	1.49792e14i	−1.77409	−	2.53366i
$569$		−	4.15743e12i		−	0.0697050i	−0.999392	−	0.0348525i	$-0.988904\pi$
$569$		−	4.15743e12i		−	0.0697050i	0.999392	−	0.0348525i	$-0.0110961\pi$
$570$	−1.40140e14	+	1.07130e14i	−2.32910	+	1.78048i
$571$	−7.16511e13			−1.18044			−0.590218	−	0.807244i	$-0.700958\pi$
$571$	−7.16511e13			−1.18044			−0.590218	+	0.807244i	$0.700958\pi$
$572$	−3.58587e13	+	2.51085e13i	−0.585618	+	0.410054i
$573$	5.06991e13	−	4.43560e12i	0.820781	−	0.0718091i
$574$	−3.42943e13	+	9.42230e13i	−0.550381	+	1.51216i
$575$	9.60214e12	−	2.16391e12i	0.152767	−	0.0344270i
$576$	−2.13474e14	+	1.79126e14i	−3.36692	+	2.82518i
$577$	−2.07395e13	+	7.74007e13i	−0.324279	+	1.21022i	0.590757	+	0.806850i	$0.298829\pi$
$577$	−2.07395e13	+	7.74007e13i	−0.324279	+	1.21022i	−0.915035	+	0.403374i	$0.867837\pi$
$578$	3.79004e13	+	1.41446e14i	0.587495	+	2.19256i
$579$	−1.55044e14	+	2.73384e13i	−2.38265	+	0.420126i
$580$	1.56544e14	+	4.53325e13i	2.38505	+	0.690669i
$581$	1.09584e13	−	1.89805e13i	0.165526	−	0.286699i
$582$	−1.78496e13	+	6.66157e13i	−0.267309	+	0.997611i
$583$	1.00781e13	−	1.15193e14i	0.149636	−	1.71035i
$584$	8.84889e13	+	2.43121e14i	1.30264	+	3.57898i
$585$	2.33084e13	+	4.67926e11i	0.340200	+	0.00682964i
$586$	2.36291e13	+	1.98272e13i	0.341947	+	0.286928i
$587$	−2.92648e13	+	2.04914e13i	−0.419909	+	0.294023i	−0.764371	−	0.644777i	$-0.776950\pi$
$587$	−2.92648e13	+	2.04914e13i	−0.419909	+	0.294023i	0.344462	+	0.938800i	$0.388061\pi$
$588$	1.43480e14	−	1.43480e14i	2.04129	−	2.04129i
$589$	−6.75026e13	+	4.47573e13i	−0.952235	+	0.631375i
$590$	−1.64787e13	−	4.82681e13i	−0.230496	−	0.675150i
$591$	−3.96837e12	+	2.25058e13i	−0.0550396	+	0.312145i
$592$	1.63134e13	+	1.86463e14i	0.224355	+	2.56439i
$593$	2.49591e13	−	1.16386e13i	0.340374	−	0.158719i	−0.244914	−	0.969545i	$-0.578760\pi$
$593$	2.49591e13	−	1.16386e13i	0.340374	−	0.158719i	0.585287	+	0.810826i	$0.300982\pi$
$594$	2.53110e13	+	6.95413e13i	0.342276	+	0.940396i
$595$	−5.82722e13	+	1.43669e13i	−0.781406	+	0.192654i
$596$	5.45534e12	+	9.44893e12i	0.0725422	+	0.125647i
$597$	8.66116e13	−	2.32075e13i	1.14210	−	0.306025i
$598$	−4.82521e12	−	3.37865e12i	−0.0630972	−	0.0441811i
$599$	5.48049e13	−	9.66359e12i	0.710699	−	0.125315i	0.193400	−	0.981120i	$-0.438049\pi$
$599$	5.48049e13	−	9.66359e12i	0.710699	−	0.125315i	0.517299	+	0.855805i	$0.326937\pi$
$600$	−5.16328e13	−	3.81892e14i	−0.664002	−	4.91117i
$601$	−7.81594e12	−	1.35376e13i	−0.0996801	−	0.172651i	0.811872	−	0.583835i	$-0.198449\pi$
$601$	−7.81594e12	−	1.35376e13i	−0.0996801	−	0.172651i	−0.911552	+	0.411184i	$0.865115\pi$
$602$	−2.65201e13	−	2.32021e12i	−0.335422	−	0.0293457i
$603$	3.56156e13	−	7.63779e13i	0.446739	−	0.958035i
$604$	1.18805e14	−	3.26415e14i	1.47792	−	4.06056i
$605$	5.70760e12	−	2.52329e12i	0.0704169	−	0.0311309i
$606$	−5.34523e13	+	3.03143e14i	−0.654038	+	3.70923i
$607$	1.04336e14	+	1.04336e14i	1.26617	+	1.26617i	0.948050	+	0.318122i	$0.103052\pi$
$607$	1.04336e14	+	1.04336e14i	1.26617	+	1.26617i	0.318122	+	0.948050i	$0.396948\pi$
$608$	7.52230e12	−	2.96394e14i	0.0905384	−	3.56740i
$609$			6.42877e13i			0.767434i
$610$	3.59505e13	+	2.30895e14i	0.425653	+	2.73379i
$611$	1.37302e13	+	1.15210e13i	0.161240	+	0.135296i
$612$	−1.91610e14	−	4.10909e14i	−2.23183	−	4.78617i
$613$	6.25668e12	−	1.34175e13i	0.0722839	−	0.155013i	−0.866846	−	0.498577i	$-0.833856\pi$
$613$	6.25668e12	−	1.34175e13i	0.0722839	−	0.155013i	0.939129	+	0.343563i	$0.111634\pi$
$614$	1.50113e14	+	1.78898e14i	1.72019	+	2.05005i
$615$	1.35822e14	−	1.55421e14i	1.54381	−	1.76659i
$616$	−8.14373e13	+	1.41053e14i	−0.918163	+	1.59030i
$617$	4.98619e13	−	7.12102e13i	0.557626	−	0.796373i	−0.437048	−	0.899438i	$-0.643976\pi$
$617$	4.98619e13	−	7.12102e13i	0.557626	−	0.796373i	0.994675	+	0.103065i	$0.0328651\pi$
$618$	−2.30943e14	−	1.61708e14i	−2.56190	−	1.79386i
$619$	−3.37055e13	−	1.94599e13i	−0.370892	−	0.214135i	0.302956	−	0.953005i	$-0.402026\pi$
$619$	−3.37055e13	−	1.94599e13i	−0.370892	−	0.214135i	−0.673848	+	0.738870i	$0.735360\pi$
$620$	−1.89084e13	−	2.80977e14i	−0.206393	−	3.06699i
$621$	−5.56132e12	+	4.66650e12i	−0.0602171	+	0.0505281i
$622$	−1.16497e14	−	5.43233e13i	−1.25130	−	0.583491i
$623$	8.45566e13	−	3.94294e13i	0.900964	−	0.420126i
$624$	−8.43097e13	+	1.00476e14i	−0.891158	+	1.06204i
$625$	8.67113e13	+	3.97001e13i	0.909234	+	0.416286i
$626$	−2.09028e14			−2.17436
$627$	−1.42836e14	−	5.61316e13i	−1.47401	−	0.579255i
$628$	−1.21311e14	+	1.21311e14i	−1.24194	+	1.24194i
$629$	−1.03907e14	−	1.83215e13i	−1.05533	−	0.186084i
$630$	1.26265e14	−	5.58208e13i	1.27227	−	0.562462i
$631$	−3.22294e13	−	1.17305e13i	−0.322185	−	0.117266i	0.175865	−	0.984414i	$-0.443728\pi$
$631$	−3.22294e13	−	1.17305e13i	−0.322185	−	0.117266i	−0.498049	+	0.867149i	$0.665950\pi$
$632$	8.48307e13	+	3.95572e13i	0.841332	+	0.392320i
$633$	−1.22971e13	+	1.40556e14i	−0.120999	+	1.38303i
$634$	−2.86091e14	+	1.65175e14i	−2.79292	+	1.61249i
$635$	−2.47014e13	+	1.25324e14i	−0.239251	+	1.21385i
$636$	−1.22742e14	−	6.96103e14i	−1.17952	−	6.68941i
$637$	1.08300e13	−	1.54668e13i	0.103259	−	0.147470i
$638$	5.03390e13	+	1.87868e14i	0.476213	+	1.77725i
$639$	−1.16783e14	+	6.74247e13i	−1.09616	+	0.632871i
$640$	2.55921e14	+	1.54687e14i	2.38345	+	1.44063i
$641$	−7.71257e13	+	2.80715e13i	−0.712704	+	0.259403i	−0.672825	−	0.739802i	$-0.734919\pi$
$641$	−7.71257e13	+	2.80715e13i	−0.712704	+	0.259403i	−0.0398785	+	0.999205i	$0.512697\pi$
$642$	−2.44922e14	−	5.25237e14i	−2.24570	−	4.81593i
$643$	−4.77970e13	+	4.18169e12i	−0.434856	+	0.0380450i	−0.302482	−	0.953155i	$-0.597815\pi$
$643$	−4.77970e13	+	4.18169e12i	−0.434856	+	0.0380450i	−0.132373	+	0.991200i	$0.542260\pi$
$644$	−2.50435e13	−	4.41584e12i	−0.226081	−	0.0398642i
$645$	4.91910e13	+	2.41518e13i	0.440643	+	0.216347i
$646$	3.06147e14	+	9.04164e13i	2.72124	+	0.803683i
$647$	7.55227e13	+	7.55227e13i	0.666125	+	0.666125i	0.956817	−	0.290691i	$-0.0938853\pi$
$647$	7.55227e13	+	7.55227e13i	0.666125	+	0.666125i	−0.290691	+	0.956817i	$0.593885\pi$
$648$	−1.19790e14	−	1.71078e14i	−1.04844	−	1.49733i
$649$	2.85232e13	−	3.39926e13i	0.247728	−	0.295230i
$650$	−1.73517e13	−	5.43707e13i	−0.149547	−	0.468596i
$651$	1.04386e14	−	3.79933e13i	0.892764	−	0.324940i
$652$	1.50146e14	+	1.31361e13i	1.27431	+	0.111488i
$653$	−4.94673e13	−	1.32547e13i	−0.416631	−	0.111636i	0.0444127	−	0.999013i	$-0.485858\pi$
$653$	−4.94673e13	−	1.32547e13i	−0.416631	−	0.111636i	−0.461044	+	0.887377i	$0.652525\pi$
$654$	−3.15978e14	−	1.82430e14i	−2.64100	−	1.52478i
$655$	3.62038e13	+	1.04840e13i	0.300295	+	0.0869601i
$656$	1.15066e14	+	6.52572e14i	0.947171	+	5.37167i
$657$	1.84291e14	−	4.93807e13i	1.50549	−	0.403395i
$658$	1.02521e14	+	2.74705e13i	0.831160	+	0.222709i
$659$	−1.37233e13	−	1.63548e13i	−0.110416	−	0.131589i	0.708006	−	0.706207i	$-0.249595\pi$
$659$	−1.37233e13	−	1.63548e13i	−0.110416	−	0.131589i	−0.818422	+	0.574618i	$0.805151\pi$
$660$	4.15575e14	−	3.34727e14i	3.31841	−	2.67283i
$661$	1.85093e13	+	6.73685e12i	0.146684	+	0.0533887i	0.414319	−	0.910132i	$-0.364020\pi$
$661$	1.85093e13	+	6.73685e12i	0.146684	+	0.0533887i	−0.267635	+	0.963520i	$0.586242\pi$
$662$	3.00350e13	+	3.43302e14i	0.236232	+	2.70014i
$663$	−4.24076e13	−	6.05644e13i	−0.331037	−	0.472770i
$664$		−	2.54667e14i		−	1.97302i
$665$	−2.14310e13	+	6.75432e13i	−0.164792	+	0.519366i
$666$	2.42696e14			1.85222
$667$	−1.56293e13	+	1.09438e13i	−0.118389	+	0.0828967i
$668$	−3.03087e14	+	2.65167e13i	−2.27869	+	0.199360i
$669$	−3.13409e13	+	8.61085e13i	−0.233874	+	0.642562i
$670$	−2.05121e14	−	2.21025e13i	−1.51928	−	0.163707i
$671$	−1.55740e14	+	1.30681e14i	−1.14495	+	0.960730i
$672$	−1.05248e14	+	3.92793e14i	−0.768015	+	2.86627i
$673$	2.63681e13	+	9.84072e13i	0.190987	+	0.712774i	0.993269	+	0.115829i	$0.0369523\pi$
$673$	2.63681e13	+	9.84072e13i	0.190987	+	0.712774i	−0.802282	+	0.596945i	$0.796381\pi$
$674$	3.86627e12	−	6.81728e11i	0.0277967	−	0.00490131i
$675$	−7.02613e13	+	3.31324e12i	−0.501415	+	0.0236447i
$676$	1.77451e14	−	3.07354e14i	1.25703	−	2.17724i
$677$	−2.79654e13	+	1.04368e14i	−0.196643	+	0.733881i	0.795193	+	0.606357i	$0.207370\pi$
$677$	−2.79654e13	+	1.04368e14i	−0.196643	+	0.733881i	−0.991835	+	0.127524i	$0.959297\pi$
$678$	−6.53809e13	+	7.47307e14i	−0.456355	+	5.21616i
$679$	9.47554e12	+	2.60338e13i	0.0656531	+	0.180380i
$680$	−5.02923e14	+	4.83128e14i	−3.45905	+	3.32290i
$681$	4.41960e13	+	3.70849e13i	0.301750	+	0.253198i
$682$	2.75297e14	−	1.92765e14i	1.86586	−	1.30649i
$683$	5.17870e13	−	5.17870e13i	0.348431	−	0.348431i	−0.511094	−	0.859525i	$-0.670759\pi$
$683$	5.17870e13	−	5.17870e13i	0.348431	−	0.348431i	0.859525	+	0.511094i	$0.170759\pi$
$684$	−5.31919e14	−	6.01702e13i	−3.55275	−	0.401884i
$685$	2.12460e14	−	7.25340e13i	1.40872	−	0.480938i
$686$	4.70299e13	−	2.66720e14i	0.309566	−	1.75564i
$687$	6.41065e12	+	7.32741e13i	0.0418908	+	0.478814i
$688$	−1.59446e14	+	7.43507e13i	−1.03436	+	0.482328i
$689$	−2.24958e13	−	6.18068e13i	−0.144879	−	0.398052i
$690$	6.14510e13	+	3.71429e13i	0.392901	+	0.237482i
$691$	6.14487e13	+	1.06432e14i	0.390052	+	0.675589i	0.992456	−	0.122602i	$-0.0391238\pi$
$691$	6.14487e13	+	1.06432e14i	0.390052	+	0.675589i	−0.602404	+	0.798191i	$0.705790\pi$
$692$	1.39000e14	−	3.72449e13i	0.875959	−	0.234713i
$693$	9.83879e13	+	6.88919e13i	0.615567	+	0.431025i
$694$	5.24679e14	−	9.25151e13i	3.25909	−	0.574666i
$695$	−6.35207e13	+	4.26036e13i	−0.391734	+	0.262738i
$696$	3.73503e14	+	6.46927e14i	2.28691	+	3.96104i
$697$	−3.72104e14	−	3.25549e13i	−2.26204	−	0.197903i
$698$	2.22705e14	−	4.77592e14i	1.34417	−	2.88257i
$699$	3.36604e13	−	9.24811e13i	0.201712	−	0.554201i
$700$	−1.67089e14	−	1.81074e14i	−0.994164	−	1.07737i
$701$	−1.92553e13	+	1.09202e14i	−0.113752	+	0.645122i	0.873608	+	0.486630i	$0.161774\pi$
$701$	−1.92553e13	+	1.09202e14i	−0.113752	+	0.645122i	−0.987360	+	0.158491i	$0.949337\pi$
$702$	2.97652e13	+	2.97652e13i	0.174592	+	0.174592i
$703$	−8.24700e13	+	9.33670e13i	−0.480308	+	0.543772i
$704$			5.93536e14i			3.43229i
$705$	−1.76421e14	−	1.28885e14i	−1.01299	−	0.740042i
$706$	−1.20691e14	−	1.01272e14i	−0.688102	−	0.577386i
$707$	5.22593e13	+	1.12071e14i	0.295847	+	0.634446i
$708$	1.14635e14	−	2.45836e14i	0.644394	−	1.38191i
$709$	−1.91844e14	−	2.28631e14i	−1.07082	−	1.27616i	−0.959298	−	0.282395i	$-0.908871\pi$
$709$	−1.91844e14	−	2.28631e14i	−1.07082	−	1.27616i	−0.111525	−	0.993762i	$-0.535573\pi$
$710$	2.48578e14	+	2.17231e14i	1.37775	+	1.20401i
$711$	3.45121e13	−	5.97767e13i	0.189943	−	0.328991i
$712$	6.21813e14	−	8.88041e14i	3.39828	−	4.85325i
$713$	2.70065e13	+	1.89101e13i	0.146562	+	0.102624i
$714$	−3.79166e14	−	2.18912e14i	−2.04333	−	1.17972i
$715$	3.26742e13	−	3.73891e13i	0.174853	−	0.200085i
$716$	6.54340e14	−	5.49056e14i	3.47727	−	2.91777i
$717$	−1.30865e14	−	6.10232e13i	−0.690600	−	0.322032i
$718$	4.84482e13	−	2.25918e13i	0.253896	−	0.118393i
$719$	−2.95472e13	+	3.52129e13i	−0.153770	+	0.183256i	−0.837430	−	0.546545i	$-0.815943\pi$
$719$	−2.95472e13	+	3.52129e13i	−0.153770	+	0.183256i	0.683660	+	0.729801i	$0.260387\pi$
$720$	5.38187e14	−	7.36686e14i	2.78145	−	3.80732i
$721$	−1.13256e14			−0.581277
$722$	2.79684e14	−	2.52646e14i	1.42555	−	1.28773i
$723$	−9.27474e13	+	9.27474e13i	−0.469473	+	0.469473i
$724$	3.49407e14	+	6.16099e13i	1.75646	+	0.309712i
$725$	−1.84714e14	−	7.41940e12i	−0.922168	−	0.0370407i
$726$	4.27788e13	+	1.55702e13i	0.212102	+	0.0771989i
$727$	4.73250e12	+	2.20680e12i	0.0233034	+	0.0108665i	0.434235	−	0.900800i	$-0.357019\pi$
$727$	4.73250e12	+	2.20680e12i	0.0233034	+	0.0108665i	−0.410932	+	0.911666i	$0.634797\pi$
$728$	−8.07451e12	+	9.22921e13i	−0.0394875	+	0.451344i
$729$	−2.69970e14	+	1.55867e14i	−1.31123	+	0.757037i
$730$	−2.60170e14	−	3.87905e14i	−1.25500	−	1.87116i
$731$	−1.72206e13	−	9.76632e13i	−0.0825016	−	0.467890i
$732$	−7.12815e14	+	1.01800e15i	−3.39173	+	4.84389i
$733$	6.10298e13	+	2.27766e14i	0.288418	+	1.07639i	0.946305	+	0.323274i	$0.104784\pi$
$733$	6.10298e13	+	2.27766e14i	0.288418	+	1.07639i	−0.657887	+	0.753116i	$0.728550\pi$
$734$	1.73569e14	−	1.00210e14i	0.814689	−	0.470361i
$735$	−1.19058e14	+	1.96976e14i	−0.555039	+	0.918283i
$736$	−1.13410e14	+	4.12780e13i	−0.525126	+	0.191130i
$737$	−7.58570e13	−	1.62676e14i	−0.348866	−	0.748145i
$738$	8.55925e14	−	7.48837e13i	3.90979	−	0.342063i
$739$	1.84720e14	+	3.25710e13i	0.838090	+	0.147778i	0.576189	−	0.817317i	$-0.304539\pi$
$739$	1.84720e14	+	3.25710e13i	0.838090	+	0.147778i	0.261901	+	0.965095i	$0.415651\pi$
$740$	−1.39945e14	−	4.09915e14i	−0.630665	−	1.84729i
$741$	−8.71278e13	+	5.39946e12i	−0.390001	+	0.0241690i
$742$	−2.75411e14	−	2.75411e14i	−1.22451	−	1.22451i
$743$	−1.64969e14	−	2.35600e14i	−0.728547	−	1.04047i	−0.997017	−	0.0771848i	$-0.975407\pi$
$743$	−1.64969e14	−	2.35600e14i	−0.728547	−	1.04047i	0.268470	−	0.963288i	$-0.413482\pi$
$744$	8.29698e14	−	9.88795e14i	3.63961	−	4.33752i
$745$	−8.57370e12	−	8.92499e12i	−0.0373583	−	0.0388890i
$746$	2.48766e14	−	9.05435e13i	1.07671	−	0.391889i
$747$	−1.87086e14	−	1.63679e13i	−0.804337	−	0.0703704i
$748$	−9.32758e14	−	2.49932e14i	−3.98346	−	1.06737i
$749$	−2.01618e14	−	1.16404e14i	−0.855305	−	0.493810i
$750$	2.55538e14	+	6.47072e14i	1.07683	+	2.72676i
$751$	−3.53630e13	−	2.00554e14i	−0.148030	−	0.839520i	−0.964884	−	0.262676i	$-0.915395\pi$
$751$	−3.53630e13	−	2.00554e14i	−0.148030	−	0.839520i	0.816854	−	0.576844i	$-0.195716\pi$
$752$	6.77517e14	−	1.81540e14i	2.81729	−	0.754890i
$753$	−4.19421e13	−	1.12383e13i	−0.173251	−	0.0464224i
$754$	7.11121e13	+	8.47481e13i	0.291801	+	0.347755i
$755$	−4.22119e13	+	3.91746e14i	−0.172068	+	1.59687i
$756$	1.70766e14	+	6.21538e13i	0.691501	+	0.251686i
$757$	4.02880e12	+	4.60494e13i	0.0162068	+	0.185244i	0.999983	+	0.00584391i	$0.00186019\pi$
$757$	4.02880e12	+	4.60494e13i	0.0162068	+	0.185244i	−0.983776	+	0.179400i	$0.942584\pi$
$758$	3.60548e14	+	5.14916e14i	1.44085	+	2.05774i
$759$			6.24711e13i			0.248011i
$760$	1.76757e14	+	8.04199e14i	0.697123	+	3.17172i
$761$	−8.14198e13			−0.319012			−0.159506	−	0.987197i	$-0.550990\pi$
$761$	−8.14198e13			−0.319012			−0.159506	+	0.987197i	$0.550990\pi$
$762$	−7.63307e14	+	5.34473e14i	−2.97115	+	2.08042i
$763$	−1.46013e14	+	1.27745e13i	−0.564635	+	0.0493992i
$764$	1.29315e14	−	3.55289e14i	0.496799	−	1.36494i
$765$	3.22596e14	+	4.00514e14i	1.23127	+	1.52866i
$766$	−7.72391e13	+	6.48113e13i	−0.292883	+	0.245758i
$767$	6.53272e12	−	2.43804e13i	0.0246103	−	0.0918469i
$768$	2.15580e14	+	8.04555e14i	0.806868	+	3.01127i
$769$	−3.27016e14	+	5.76617e13i	−1.21601	+	0.214415i	−0.744607	−	0.667503i	$-0.767363\pi$
$769$	−3.27016e14	+	5.76617e13i	−1.21601	+	0.214415i	−0.471402	+	0.881918i	$0.656252\pi$
$770$	8.17877e13	−	2.82433e14i	0.302158	−	1.04343i
$771$	−5.08424e13	+	8.80617e13i	−0.186618	+	0.323232i
$772$	−3.02718e14	+	1.12976e15i	−1.10396	+	4.12002i
$773$	−6.26727e12	+	7.16353e13i	−0.0227081	+	0.259555i	0.976351	+	0.216191i	$0.0693632\pi$
$773$	−6.26727e12	+	7.16353e13i	−0.0227081	+	0.259555i	−0.999059	+	0.0433645i	$0.986192\pi$
$774$	7.80194e13	+	2.14357e14i	0.280865	+	0.771671i
$775$	9.71170e13	+	3.04311e14i	0.347365	+	1.08845i
$776$	2.46606e14	+	2.06927e14i	0.876384	+	0.735373i
$777$	1.39959e14	−	9.80006e13i	0.494193	−	0.346038i
$778$	−3.20590e14	+	3.20590e14i	−1.12474	+	1.12474i
$779$	−2.62042e14	+	3.54726e14i	−0.913446	+	1.23653i
$780$	1.33771e14	−	2.72457e14i	0.463328	−	0.943682i
$781$	−4.98741e13	+	2.82850e14i	−0.171640	+	0.973422i
$782$	−1.13251e13	−	1.29447e14i	−0.0387265	−	0.442646i
$783$	1.23573e14	−	5.76231e13i	0.419870	−	0.195789i
$784$	−2.52720e14	−	6.94343e14i	−0.853217	−	2.34419i
$785$	1.00663e14	−	1.66541e14i	0.337692	−	0.558693i
$786$	1.37478e14	+	2.38120e14i	0.458270	+	0.793747i
$787$	4.01610e14	−	1.07611e14i	1.33024	−	0.356437i	0.477437	−	0.878666i	$-0.341566\pi$
$787$	4.01610e14	−	1.07611e14i	1.33024	−	0.356437i	0.852806	+	0.522229i	$0.174899\pi$
$788$	1.39074e14	+	9.73808e13i	0.457736	+	0.320510i
$789$	4.59769e14	−	8.10697e13i	1.50368	−	0.265139i
$790$	−1.65787e14	−	3.26766e13i	−0.538784	−	0.106194i
$791$	1.50676e14	+	2.60979e14i	0.486589	+	0.842797i
$792$	1.39033e15	+	1.21638e14i	4.46161	+	0.390341i
$793$	−4.88722e13	+	1.04807e14i	−0.155846	+	0.334213i
$794$	−9.84670e13	+	2.70536e14i	−0.312024	+	0.857279i
$795$	3.24188e14	+	7.33302e14i	1.02085	+	2.30912i
$796$	1.15676e14	−	6.56029e14i	0.361973	−	2.05285i
$797$	−1.12795e14	−	1.12795e14i	−0.350749	−	0.350749i	0.509639	−	0.860388i	$-0.329779\pi$
$797$	−1.12795e14	−	1.12795e14i	−0.350749	−	0.350749i	−0.860388	+	0.509639i	$0.829779\pi$
$798$	−4.54092e14	+	2.47026e14i	−1.40323	+	0.763357i
$799$			3.95384e14i			1.21419i
$800$	−1.11644e15	−	3.47736e14i	−3.40711	−	1.06121i
$801$	−6.12416e14	−	5.13878e14i	−1.85731	−	1.55847i
$802$	−4.00085e14	−	8.57986e14i	−1.20581	−	2.58588i
$803$	1.71737e14	−	3.68292e14i	0.514384	−	1.10310i
$804$	−7.05267e14	−	8.40505e14i	−2.09929	−	2.50184i
$805$	2.87798e13	−	1.93674e12i	0.0851350	−	0.00572917i
$806$	9.55816e13	−	1.65552e14i	0.280995	−	0.486698i
$807$	2.59474e14	−	3.70567e14i	0.758098	−	1.08268i
$808$	1.17700e15	+	8.24145e14i	3.41759	+	2.39302i
$809$	−1.42098e14	−	8.20401e13i	−0.410057	−	0.236746i	0.280757	−	0.959779i	$-0.409414\pi$
$809$	−1.42098e14	−	8.20401e13i	−0.410057	−	0.236746i	−0.690814	+	0.723032i	$0.742748\pi$
$810$	2.83901e14	+	2.48100e14i	0.814220	+	0.711543i
$811$	−1.29002e14	+	1.08245e14i	−0.367698	+	0.308535i	−0.807850	−	0.589388i	$-0.799369\pi$
$811$	−1.29002e14	+	1.08245e14i	−0.367698	+	0.308535i	0.440152	+	0.897923i	$0.354925\pi$
$812$	4.32856e14	+	2.01844e14i	1.22620	+	0.571789i
$813$	−8.78677e14	+	4.09734e14i	−2.47387	+	1.15358i
$814$	3.32266e14	−	3.95979e14i	0.929745	−	1.10803i
$815$	−1.68925e14	+	2.63017e13i	−0.469792	+	0.0731468i
$816$	−2.89338e15			−7.99750
$817$	−1.08976e14	−	4.28254e13i	−0.299379	−	0.117650i
$818$	6.57325e14	−	6.57325e14i	1.79479	−	1.79479i
$819$	6.72815e13	+	1.18635e13i	0.182590	+	0.0321955i
$820$	−6.20028e14	−	1.40248e15i	−1.67241	−	3.78292i
$821$	5.69612e14	+	2.07322e14i	1.52709	+	0.555814i	0.962906	−	0.269838i	$-0.0869701\pi$
$821$	5.69612e14	+	2.07322e14i	1.52709	+	0.555814i	0.564180	+	0.825652i	$0.309192\pi$
$822$	1.48428e15	+	6.92133e14i	3.95511	+	1.84430i
$823$	3.31947e13	−	3.79417e14i	0.0879164	−	1.00489i	−0.816247	−	0.577703i	$-0.803949\pi$
$823$	3.31947e13	−	3.79417e14i	0.0879164	−	1.00489i	0.904164	−	0.427186i	$-0.140495\pi$
$824$	−1.13969e15	+	6.58000e14i	−3.00020	+	1.73217i
$825$	−3.66792e14	+	4.81480e14i	−0.959732	+	1.25982i
$826$	−2.59546e13	−	1.47196e14i	−0.0675015	−	0.382820i
$827$	2.18981e14	−	3.12737e14i	0.566082	−	0.808448i	−0.429429	−	0.903101i	$-0.641285\pi$
$827$	2.18981e14	−	3.12737e14i	0.566082	−	0.808448i	0.995510	+	0.0946524i	$0.0301740\pi$
$828$	5.63975e13	+	2.10478e14i	0.144913	+	0.540823i
$829$	2.62352e14	−	1.51469e14i	0.670057	−	0.386858i	−0.126041	−	0.992025i	$-0.540227\pi$
$829$	2.62352e14	−	1.51469e14i	0.670057	−	0.386858i	0.796098	+	0.605167i	$0.206894\pi$
$830$	1.10055e14	+	4.46384e14i	0.279395	+	1.13323i
$831$	−3.29410e14	+	1.19896e14i	−0.831251	+	0.302551i
$832$	1.42680e14	+	3.05978e14i	0.357887	+	0.767491i
$833$	4.14930e14	−	3.63017e13i	1.03455	−	0.0905111i
$834$	−5.49479e14	−	9.68879e13i	−1.36182	−	0.240126i
$835$	3.26595e14	−	1.11500e14i	0.804594	−	0.274689i
$836$	−8.26402e14	+	7.85493e14i	−2.02376	+	1.92358i
$837$	−1.66595e14	−	1.66595e14i	−0.405540	−	0.405540i
$838$	2.89551e14	+	4.13521e14i	0.700655	+	1.00064i
$839$	−7.44197e13	+	8.86899e13i	−0.179010	+	0.213336i	−0.848087	−	0.529857i	$-0.822245\pi$
$839$	−7.44197e13	+	8.86899e13i	−0.179010	+	0.213336i	0.669076	+	0.743194i	$0.266690\pi$
$840$	2.26670e13	−	1.12909e15i	0.0541998	−	2.69982i
$841$	−5.86025e13	+	2.13296e13i	−0.139295	+	0.0506993i
$842$	−4.79027e14	−	4.19095e13i	−1.13188	−	0.0990266i
$843$	1.11289e13	+	2.98198e12i	0.0261405	+	0.00700433i
$844$	9.07771e14	+	5.24102e14i	2.11965	+	1.22378i
$845$	−1.11975e14	+	3.86677e14i	−0.259918	+	0.897563i
$846$	−1.57929e14	−	8.95658e14i	−0.364426	−	2.06676i
$847$	1.76647e13	−	4.73324e12i	0.0405218	−	0.0108578i
$848$	−2.48626e15	−	6.66191e14i	−5.66979	−	1.51922i
$849$	−3.66887e14	−	4.37239e14i	−0.831753	−	0.991244i
$850$	6.72745e14	−	1.06417e15i	1.51620	−	2.39837i
$851$	4.76509e13	+	1.73435e13i	0.106764	+	0.0388587i
$852$	1.53017e14	+	1.74899e15i	0.340833	+	3.89574i
$853$	−4.76463e14	−	6.80460e14i	−1.05508	−	1.50681i	−0.849088	−	0.528252i	$-0.822848\pi$
$853$	−4.76463e14	−	6.80460e14i	−1.05508	−	1.50681i	−0.205990	−	0.978554i	$-0.566041\pi$
$854$			6.84794e14i			1.50755i
$855$	6.02149e14	−	7.81638e13i	1.31787	−	0.171070i
$856$	−2.70518e15			−5.88609
$857$	5.58822e14	−	3.91292e14i	1.20884	−	0.846440i	0.217285	−	0.976108i	$-0.430280\pi$
$857$	5.58822e14	−	3.91292e14i	1.20884	−	0.846440i	0.991557	+	0.129668i	$0.0413912\pi$
$858$	3.60848e14	−	3.15701e13i	0.776046	−	0.0678953i
$859$	1.37204e13	−	3.76966e13i	0.0293361	−	0.0806002i	−0.924160	−	0.382006i	$-0.875234\pi$
$859$	1.37204e13	−	3.76966e13i	0.0293361	−	0.0806002i	0.953496	+	0.301405i	$0.0974557\pi$
$860$	3.17061e14	−	2.55379e14i	0.673986	−	0.542866i
$861$	4.63361e14	−	3.88806e14i	0.979274	−	0.821708i
$862$	−1.31462e14	+	4.90621e14i	−0.276225	+	1.03088i
$863$	1.24446e14	+	4.64438e14i	0.259972	+	0.970229i	0.965256	+	0.261304i	$0.0841526\pi$
$863$	1.24446e14	+	4.64438e14i	0.259972	+	0.970229i	−0.705284	+	0.708924i	$0.749181\pi$
$864$	8.49360e14	−	1.49765e14i	1.76410	−	0.311058i
$865$	−1.42970e14	+	7.87607e13i	−0.295232	+	0.162641i
$866$	5.43829e14	−	9.41939e14i	1.11654	−	1.93390i
$867$	2.28633e14	−	8.53269e14i	0.466706	−	1.74177i
$868$	7.19269e13	−	8.22129e14i	0.145980	−	1.66856i
$869$	−5.02815e13	−	1.38147e14i	−0.101463	−	0.278768i
$870$	−9.34251e14	−	9.72531e14i	−1.87442	−	1.95122i
$871$	−7.82111e13	−	6.56269e13i	−0.156019	−	0.130916i
$872$	−1.39511e15	+	9.76865e14i	−2.76710	+	1.93755i
$873$	1.67864e14	−	1.67864e14i	0.331045	−	0.331045i
$874$	−1.37356e14	−	6.83451e13i	−0.269334	−	0.134014i
$875$	2.33184e14	+	1.54050e14i	0.454631	+	0.300346i
$876$	4.31346e14	−	2.44628e15i	0.836190	−	4.74227i
$877$	−7.38461e13	−	8.44065e14i	−0.142341	−	1.62696i	−0.646193	−	0.763174i	$-0.723640\pi$
$877$	−7.38461e13	−	8.44065e14i	−0.142341	−	1.62696i	0.503853	−	0.863790i	$-0.331915\pi$
$878$	2.21163e14	−	1.03130e14i	0.423877	−	0.197657i
$879$	−6.36414e13	−	1.74853e14i	−0.121282	−	0.333219i
$880$	−4.65153e14	−	1.88667e15i	−0.881419	−	3.57504i
$881$	−1.22867e14	−	2.12813e14i	−0.231503	−	0.400975i	0.726747	−	0.686905i	$-0.241031\pi$
$881$	−1.22867e14	−	2.12813e14i	−0.231503	−	0.400975i	−0.958251	+	0.285929i	$0.907698\pi$
$882$	−9.25436e14	+	2.47970e14i	−1.73382	+	0.464575i
$883$	3.68168e13	+	2.57794e13i	0.0685872	+	0.0480252i	0.607367	−	0.794421i	$-0.292226\pi$
$883$	3.68168e13	+	2.57794e13i	0.0685872	+	0.0480252i	−0.538780	+	0.842447i	$0.681115\pi$
$884$	−5.40933e14	+	9.53812e13i	−1.00203	+	0.176686i
$885$	−5.94985e13	+	3.01869e14i	−0.109595	+	0.556036i
$886$	−9.97843e13	−	1.72831e14i	−0.182765	−	0.316559i
$887$	6.48650e14	+	5.67495e13i	1.18139	+	0.103358i	0.660875	−	0.750496i	$-0.270185\pi$
$887$	6.48650e14	+	5.67495e13i	1.18139	+	0.103358i	0.520512	+	0.853854i	$0.325741\pi$
$888$	8.39039e14	−	1.79933e15i	1.51956	−	3.25870i
$889$	−1.28028e14	+	3.51755e14i	−0.230567	+	0.633478i
$890$	−7.06153e14	+	1.82529e15i	−1.26459	+	3.26874i
$891$	−5.69612e13	+	3.23043e14i	−0.101436	+	0.575270i
$892$	4.81376e14	+	4.81376e14i	0.852433	+	0.852433i
$893$	3.98231e14	+	2.43595e14i	0.701259	+	0.428955i
$894$		−	9.02821e13i		−	0.158093i
$895$	−5.71552e14	+	7.82356e14i	−0.995269	+	1.36235i
$896$	6.71310e14	+	5.63296e14i	1.16247	+	0.975431i
$897$	1.50174e13	+	3.22049e13i	0.0258602	+	0.0554574i
$898$	−6.91384e14	+	1.48268e15i	−1.18396	+	2.53901i
$899$	−3.98011e14	−	4.74331e14i	−0.677793	−	0.807762i
$900$	−8.01129e14	+	1.95334e15i	−1.35672	+	3.30800i
$901$	7.25463e14	−	1.25654e15i	1.22178	−	2.11618i
$902$	1.04963e15	−	1.49903e15i	1.75795	−	2.51061i
$903$	1.31550e14	+	9.21121e13i	0.219104	+	0.153419i
$904$	3.03251e15	+	1.75082e15i	5.02296	+	2.90001i
$905$	−4.01537e14	+	2.70214e13i	−0.661428	+	0.0445108i
$906$	−2.20185e15	+	1.84757e15i	−3.60701	+	3.02664i
$907$	3.07149e14	+	1.43226e14i	0.500395	+	0.233338i	0.656393	−	0.754419i	$-0.272081\pi$
$907$	3.07149e14	+	1.43226e14i	0.500395	+	0.233338i	−0.155997	+	0.987757i	$0.549859\pi$
$908$	3.88458e14	−	1.81141e14i	0.629383	−	0.293486i
$909$	6.81089e14	−	8.11690e14i	1.09745	−	1.30789i
$910$	−2.57311e13	−	1.65260e14i	−0.0412336	−	0.264826i
$911$	1.06520e15			1.69761			0.848806	−	0.528704i	$-0.177322\pi$
$911$	1.06520e15			1.69761			0.848806	+	0.528704i	$0.177322\pi$
$912$	−1.78260e15	+	2.91421e15i	−2.82540	+	4.61899i
$913$	−2.82838e14	+	2.82838e14i	−0.445844	+	0.445844i
$914$	1.09602e15	+	1.93257e14i	1.71825	+	0.302974i
$915$	5.08619e14	−	1.31469e15i	0.793025	−	2.04984i
$916$	5.13489e14	+	1.86895e14i	0.796259	+	0.289814i
$917$	1.00106e14	+	4.66802e13i	0.154388	+	0.0719923i
$918$	−8.09311e13	+	9.25046e14i	−0.124137	+	1.41889i
$919$	2.38026e14	−	1.37424e14i	0.363117	−	0.209646i	−0.307330	−	0.951603i	$-0.599436\pi$
$919$	2.38026e14	−	1.37424e14i	0.363117	−	0.209646i	0.670447	+	0.741957i	$0.266102\pi$
$920$	2.78359e14	−	1.86696e14i	0.422343	−	0.283267i
$921$	−2.44634e14	−	1.38739e15i	−0.369164	−	2.09363i
$922$	7.83914e14	−	1.11954e15i	1.17656	−	1.68030i
$923$	4.22832e13	+	1.57803e14i	0.0631189	+	0.235563i
$924$	1.35426e15	−	7.81882e14i	2.01068	−	1.16086i
$925$	2.65427e14	+	4.13447e14i	0.391955	+	0.610536i
$926$	−2.35732e15	+	8.57993e14i	−3.46228	+	1.26017i
$927$	4.10136e14	+	8.79540e14i	0.599142	+	1.28486i
$928$	2.25806e15	−	1.97555e14i	3.28092	−	0.287044i
$929$	7.70343e14	+	1.35832e14i	1.11328	+	0.196302i	0.699890	−	0.714251i	$-0.253232\pi$
$929$	7.70343e14	+	1.35832e14i	1.11328	+	0.196302i	0.413393	+	0.910552i	$0.364343\pi$
$930$	−1.02700e15	+	2.09173e15i	−1.47623	+	3.00670i
$931$	2.19074e14	−	4.40284e14i	0.313216	−	0.629483i
$932$	−5.17001e14	−	5.17001e14i	−0.735211	−	0.735211i
$933$	4.44758e14	+	6.35181e14i	0.629095	+	0.898440i
$934$	−3.36806e13	+	4.01390e13i	−0.0473855	+	0.0564719i
$935$	1.09513e15	+	2.19851e13i	1.53252	+	0.0307659i
$936$	7.45979e14	−	2.71514e14i	1.03836	−	0.377932i
$937$	−1.40961e15	−	1.23325e14i	−1.95164	−	0.170747i	−0.958285	−	0.285814i	$-0.907736\pi$
$937$	−1.40961e15	−	1.23325e14i	−1.95164	−	0.170747i	−0.993358	+	0.115068i	$0.963291\pi$
$938$	−5.83989e14	−	1.56479e14i	−0.804248	−	0.215498i
$939$	1.09202e15	+	6.30476e14i	1.49590	+	0.863656i
$940$	−1.42170e15	+	7.83202e14i	−1.93718	+	1.06717i
$941$	6.65882e13	+	3.77640e14i	0.0902504	+	0.511835i	0.996100	+	0.0882353i	$0.0281227\pi$
$941$	6.65882e13	+	3.77640e14i	0.0902504	+	0.511835i	−0.905849	+	0.423600i	$0.860766\pi$
$942$	1.37123e15	−	3.67419e14i	1.84865	−	0.495344i
$943$	1.73403e14	+	4.64632e13i	0.232541	+	0.0623090i
$944$	−6.34918e14	−	7.56666e14i	−0.846950	−	1.00936i
$945$	−2.04944e14	−	2.20834e13i	−0.271942	−	0.0293026i
$946$	4.56554e14	+	1.66172e14i	0.602610	+	0.219332i
$947$	6.53756e13	+	7.47247e14i	0.0858353	+	0.981102i	0.909961	+	0.414694i	$0.136112\pi$
$947$	6.53756e13	+	7.47247e14i	0.0858353	+	0.981102i	−0.824125	+	0.566407i	$0.808333\pi$
$948$	−5.15450e14	−	7.36139e14i	−0.673201	−	0.961431i
$949$		−	2.31145e14i		−	0.300298i
$950$	−6.57358e14	−	1.33322e15i	−0.849540	−	1.72300i
$951$	1.99282e15			2.56192
$952$	−1.67409e15	+	1.17221e15i	−2.14089	+	1.49907i
$953$	−5.51437e14	+	4.82445e13i	−0.701506	+	0.0613739i	−0.432328	−	0.901716i	$-0.642308\pi$
$953$	−5.51437e14	+	4.82445e13i	−0.701506	+	0.0613739i	−0.269178	+	0.963090i	$0.586752\pi$
$954$	−1.14148e15	+	3.13619e15i	−1.44453	+	3.96882i
$955$	−4.59458e13	+	4.26398e14i	−0.0578401	+	0.536783i
$956$	−8.21751e14	+	6.89531e14i	−1.02908	+	0.863504i
$957$	3.03669e14	−	1.13331e15i	0.378303	−	1.41185i
$958$	−4.92738e14	−	1.83892e15i	−0.610645	−	2.27896i
$959$	6.47907e14	−	1.14244e14i	0.798766	−	0.140844i
$960$	−1.98575e15	−	3.60462e15i	−2.43539	−	4.42083i
$961$	−1.25152e14	+	2.16769e14i	−0.152693	+	0.264473i
$962$	7.60995e13	−	2.84007e14i	0.0923648	−	0.344710i
$963$	−1.73867e14	+	1.98730e15i	−0.209935	+	2.39957i
$964$	3.33279e14	+	9.15677e14i	0.400334	+	1.09991i
$965$	2.66283e13	−	1.32642e15i	0.0318205	−	1.58505i
$966$	1.61193e14	+	1.35257e14i	0.191629	+	0.160796i
$967$	4.12686e14	−	2.88966e14i	0.488076	−	0.341755i	−0.303493	−	0.952834i	$-0.598153\pi$
$967$	4.12686e14	−	2.88966e14i	0.488076	−	0.341755i	0.791570	+	0.611079i	$0.209264\pi$
$968$	1.50260e14	−	1.50260e14i	0.176794	−	0.176794i
$969$	−1.32668e15	−	1.39577e15i	−1.55291	−	1.63379i
$970$	−5.21677e14	−	2.56133e14i	−0.607495	−	0.298268i
$971$	2.13102e14	−	1.20856e15i	0.246883	−	1.40015i	−0.569194	−	0.822203i	$-0.692745\pi$
$971$	2.13102e14	−	1.20856e15i	0.246883	−	1.40015i	0.816078	−	0.577942i	$-0.196144\pi$
$972$	2.76885e14	+	3.16481e15i	0.319131	+	3.64768i
$973$	−2.03140e14	+	9.47256e13i	−0.232933	+	0.108618i
$974$	3.46843e14	+	9.52944e14i	0.395675	+	1.08711i
$975$	−7.33446e13	+	3.36384e14i	−0.0832425	+	0.381779i
$976$	2.26275e15	+	3.91919e15i	2.55498	+	4.42535i
$977$	7.03489e14	−	1.88499e14i	0.790287	−	0.211757i	0.158972	−	0.987283i	$-0.449182\pi$
$977$	7.03489e14	−	1.88499e14i	0.790287	−	0.211757i	0.631315	+	0.775527i	$0.282516\pi$
$978$	−1.02161e15	−	7.15336e14i	−1.14180	−	0.799495i
$979$	−1.67687e15	+	2.95677e14i	−1.86460	+	0.328779i
$980$	9.52452e14	+	1.42008e15i	1.05369	+	1.57102i
$981$	6.27967e14	+	1.08767e15i	0.691181	+	1.19716i
$982$	1.03652e15	+	9.06834e13i	1.13506	+	0.0993048i
$983$	5.15225e14	−	1.10490e15i	0.561345	−	1.20381i	−0.396901	−	0.917861i	$-0.629914\pi$
$983$	5.15225e14	−	1.10490e15i	0.561345	−	1.20381i	0.958246	−	0.285946i	$-0.0923078\pi$
$984$	2.40389e15	−	6.60463e15i	2.60579	−	7.15934i
$985$	−1.79606e14	−	6.94847e13i	−0.193705	−	0.0749390i
$986$	−4.23781e14	+	2.40338e15i	−0.454733	+	2.57892i
$987$	−4.52741e14	−	4.52741e14i	−0.483353	−	0.483353i
$988$	−2.37200e14	+	6.03593e14i	−0.251959	+	0.641150i
$989$			4.76621e13i			0.0503723i
$990$	−2.48955e15	+	3.87625e14i	−2.61786	+	0.407601i
$991$	−6.34969e14	−	5.32802e14i	−0.664330	−	0.557439i	0.247051	−	0.969002i	$-0.420538\pi$
$991$	−6.34969e14	−	5.32802e14i	−0.664330	−	0.557439i	−0.911381	+	0.411563i	$0.864983\pi$
$992$	−1.65527e15	−	3.54973e15i	−1.72310	−	3.69519i
$993$	8.78568e14	−	1.88410e15i	0.909974	−	1.95145i
$994$	6.21850e14	+	7.41092e14i	0.640846	+	0.763730i
$995$	5.07341e13	+	7.53905e14i	0.0520217	+	0.773039i
$996$	−1.22253e15	+	2.11749e15i	−1.24728	+	2.16035i
$997$	−2.52503e14	+	3.60611e14i	−0.256325	+	0.366069i	−0.926604	−	0.376040i	$-0.877286\pi$
$997$	−2.52503e14	+	3.60611e14i	−0.256325	+	0.366069i	0.670279	+	0.742109i	$0.266174\pi$
$998$	1.70232e15	+	1.19198e15i	1.71945	+	1.20397i
$999$	−3.13826e14	−	1.81187e14i	−0.315400	−	0.182096i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.11.q.a.17.2	✓	1176
5.3	odd	4	inner	95.11.q.a.93.97	yes	1176
19.9	even	9	inner	95.11.q.a.47.97	yes	1176
95.28	odd	36	inner	95.11.q.a.28.2	yes	1176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.11.q.a.17.2	✓	1176	1.1	even	1	trivial
95.11.q.a.28.2	yes	1176	95.28	odd	36	inner
95.11.q.a.47.97	yes	1176	19.9	even	9	inner
95.11.q.a.93.97	yes	1176	5.3	odd	4	inner

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.q (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-50.3563 + 35.2599i) q^{2} +(369.427 - 32.3207i) q^{3} +(942.271 - 2588.87i) q^{4} +(-334.791 + 3107.01i) q^{5} +(-17463.4 + 14653.5i) q^{6} +(-2370.23 + 8845.80i) q^{7} +(27541.4 + 102786. i) q^{8} +(77279.7 - 13626.5i) q^{9} +(-92694.1 - 168262. i) q^{10} +(83567.9 - 144744. i) q^{11} +(264426. - 986852. i) q^{12} +(8285.77 - 94706.8i) q^{13} +(-192546. - 529016. i) q^{14} +(-23260.1 + 1.15864e6i) q^{15} +(-2.84999e6 - 2.39142e6i) q^{16} +(1.71789e6 - 1.20288e6i) q^{17} +(-3.41105e6 + 3.41105e6i) q^{18} +(-153154. - 2.47136e6i) q^{19} +(7.72818e6 + 3.79438e6i) q^{20} +(-589723. + 3.34449e6i) q^{21} +(895478. + 1.02354e7i) q^{22} +(-913484. + 425965. i) q^{23} +(1.34967e7 + 3.70818e7i) q^{24} +(-9.54145e6 - 2.08040e6i) q^{25} +(2.92211e6 + 5.06124e6i) q^{26} +(6.95732e6 - 1.86421e6i) q^{27} +(2.06672e7 + 1.44713e7i) q^{28} +(1.86424e7 - 3.28715e6i) q^{29} +(-3.96820e7 - 5.91647e7i) q^{30} +(-1.63549e7 - 2.83275e7i) q^{31} +(1.19285e8 + 1.04361e7i) q^{32} +(2.61940e7 - 5.61733e7i) q^{33} +(-4.40933e7 + 1.21145e8i) q^{34} +(-2.66905e7 - 1.03258e7i) q^{35} +(3.75412e7 - 2.12907e8i) q^{36} +(-3.55750e7 - 3.55750e7i) q^{37} +(9.48520e7 + 1.19048e8i) q^{38} -3.52550e7i q^{39} +(-3.28578e8 + 5.11598e7i) q^{40} +(-1.36440e8 - 1.14487e8i) q^{41} +(-8.82298e7 - 1.89209e8i) q^{42} +(1.99846e7 - 4.28572e7i) q^{43} +(-2.95979e8 - 3.52734e8i) q^{44} +(1.64652e7 + 2.44671e8i) q^{45} +(3.09802e7 - 5.36593e7i) q^{46} +(-1.08138e8 + 1.54437e8i) q^{47} +(-1.13015e9 - 7.91343e8i) q^{48} +(1.72000e8 + 9.93045e7i) q^{49} +(5.53827e8 - 2.31669e8i) q^{50} +(5.95758e8 - 4.99900e8i) q^{51} +(-2.37376e8 - 1.10690e8i) q^{52} +(6.27031e8 - 2.92389e8i) q^{53} +(-2.84613e8 + 3.39189e8i) q^{54} +(4.21744e8 + 3.08106e8i) q^{55} -9.74504e8 q^{56} +(-1.36455e8 - 9.08036e8i) q^{57} +(-8.22857e8 + 8.22857e8i) q^{58} +(2.61464e8 + 4.61032e7i) q^{59} +(2.97764e9 + 1.15197e9i) q^{60} +(-1.14304e9 - 4.16034e8i) q^{61} +(1.82240e9 + 8.49798e8i) q^{62} +(-6.26331e7 + 7.15899e8i) q^{63} +(-3.07544e9 + 1.77561e9i) q^{64} +(2.91481e8 + 5.74510e7i) q^{65} +(6.61627e8 + 3.75227e9i) q^{66} +(6.15984e8 - 8.79716e8i) q^{67} +(-1.49538e9 - 5.58084e9i) q^{68} +(-3.23698e8 + 1.86887e8i) q^{69} +(1.70812e9 - 4.21133e8i) q^{70} +(-1.61481e9 + 5.87742e8i) q^{71} +(3.52901e9 + 7.56798e9i) q^{72} +(2.42210e9 - 2.11906e8i) q^{73} +(3.04579e9 + 5.37055e8i) q^{74} +(-3.59211e9 - 4.60170e8i) q^{75} +(-6.54233e9 - 1.93219e9i) q^{76} +(1.08230e9 + 1.08230e9i) q^{77} +(1.24309e9 + 1.77531e9i) q^{78} +(5.65398e8 - 6.73816e8i) q^{79} +(8.38434e9 - 8.05433e9i) q^{80} +(-1.84427e9 + 6.71260e8i) q^{81} +(1.09074e10 + 9.54275e8i) q^{82} +(-2.31167e9 - 6.19411e8i) q^{83} +(8.10275e9 + 4.67812e9i) q^{84} +(3.16224e9 + 5.74023e9i) q^{85} +(5.04786e8 + 2.86278e9i) q^{86} +(6.78076e9 - 1.81690e9i) q^{87} +(1.71792e10 + 4.60316e9i) q^{88} +(-6.54856e9 - 7.80427e9i) q^{89} +(-9.45620e9 - 1.17402e10i) q^{90} +(8.18118e8 + 2.97771e8i) q^{91} +(2.42017e8 + 2.76626e9i) q^{92} +(-6.95751e9 - 9.93635e9i) q^{93} -1.15898e10i q^{94} +(7.72982e9 + 3.51536e8i) q^{95} +4.44044e10 q^{96} +(2.47813e9 - 1.73520e9i) q^{97} +(-1.21628e10 + 1.06410e9i) q^{98} +(4.48575e9 - 1.23245e10i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1176 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 14604 q^{6} - 11688 q^{7} - 6 q^{8} - 12 q^{10} - 12 q^{11} - 6 q^{12} - 12 q^{13} + 3424146 q^{15} - 13618884 q^{16} - 3657378 q^{17} - 23774232 q^{18} + 38894436 q^{20}+ \cdots - 86078409906 q^{98}+O(q^{100}) \) 1176 * q - 12 * q^2 - 12 * q^3 - 12 * q^5 - 14604 * q^6 - 11688 * q^7 - 6 * q^8 - 12 * q^10 - 12 * q^11 - 6 * q^12 - 12 * q^13 + 3424146 * q^15 - 13618884 * q^16 - 3657378 * q^17 - 23774232 * q^18 + 38894436 * q^20 - 8689704 * q^21 - 22604556 * q^22 - 32885808 * q^23 + 42291732 * q^25 - 319452 * q^26 - 6 * q^27 + 144277488 * q^28 - 6 * q^30 - 12 * q^31 - 304326750 * q^32 + 265207902 * q^33 - 173435754 * q^35 - 288159144 * q^36 - 24 * q^37 + 1298228634 * q^38 - 1334600346 * q^40 + 659462736 * q^41 + 362797044 * q^42 - 961639656 * q^43 + 161157936 * q^45 - 12 * q^46 - 886017372 * q^47 + 1630739472 * q^48 + 2215521786 * q^50 + 1125126576 * q^51 + 6132 * q^52 - 657601770 * q^53 - 3332318022 * q^55 - 48 * q^56 - 967967226 * q^57 - 7596060648 * q^58 + 3688833012 * q^60 + 1851266016 * q^61 + 845228664 * q^62 + 3514567662 * q^63 - 1840657236 * q^65 + 19323290088 * q^66 + 20641904172 * q^67 - 5240868870 * q^68 - 8235161100 * q^70 - 24 * q^71 - 64729344936 * q^72 - 3449985870 * q^73 - 34306313016 * q^75 + 10512445536 * q^76 + 46076293368 * q^77 - 51672410862 * q^78 + 20602412592 * q^80 + 46901590776 * q^81 - 12506757996 * q^82 + 22786639188 * q^83 - 22949887236 * q^85 - 81567902124 * q^86 + 3763013226 * q^87 + 8846542842 * q^88 + 87014491266 * q^90 + 37012815456 * q^91 - 35376892980 * q^92 + 96817414890 * q^93 - 20594188944 * q^95 + 84921616752 * q^96 - 9492824088 * q^97 - 86078409906 * q^98

Introduction

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