LMFDB - Embedded newform 32.9.h.a.11.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [32,9,Mod(3,32)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(32, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 3]))

N = Newforms(chi, 9, names="a")

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

chi := DirichletCharacter("32.3");

S:= CuspForms(chi, 9);

N := Newforms(S);

Level:	$ N $	$=$	$ 32 = 2^{5} $
Weight:	$ k $	$=$	$ 9 $
Character orbit:	$[\chi]$	$=$	32.h (of order $8$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$13.0361155220$
Analytic rank:	$0$
Dimension:	$124$
Relative dimension:	$31$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			11.12
Character	$\chi$	$=$	32.11
Dual form			32.9.h.a.3.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-6.01682 - 14.8256i) q^{2} +(51.5711 + 124.504i) q^{3} +(-183.596 + 178.406i) q^{4} +(103.455 - 249.763i) q^{5} +(1535.55 - 1513.69i) q^{6} +(1792.90 - 1792.90i) q^{7} +(3749.63 + 1648.48i) q^{8} +(-8202.26 + 8202.26i) q^{9} +O(q^{10})$	\(q+(-6.01682 - 14.8256i) q^{2} +(51.5711 + 124.504i) q^{3} +(-183.596 + 178.406i) q^{4} +(103.455 - 249.763i) q^{5} +(1535.55 - 1513.69i) q^{6} +(1792.90 - 1792.90i) q^{7} +(3749.63 + 1648.48i) q^{8} +(-8202.26 + 8202.26i) q^{9} +(-4325.35 - 31.0055i) q^{10} +(-6653.76 + 16063.6i) q^{11} +(-31680.4 - 13657.8i) q^{12} +(9091.12 + 21947.9i) q^{13} +(-37368.4 - 15793.3i) q^{14} +36431.7 q^{15} +(1878.84 - 65509.1i) q^{16} +98007.0i q^{17} +(170955. + 72251.8i) q^{18} +(-170141. + 70474.5i) q^{19} +(25565.2 + 64312.5i) q^{20} +(315685. + 130761. i) q^{21} +(278186. + 1994.13i) q^{22} +(-34540.9 - 34540.9i) q^{23} +(-11869.3 + 551857. i) q^{24} +(224535. + 224535. i) q^{25} +(270691. - 266838. i) q^{26} +(-627343. - 259854. i) q^{27} +(-9305.43 + 649034. i) q^{28} +(-133766. + 55407.6i) q^{29} +(-219203. - 540122. i) q^{30} -860019. i q^{31} +(-982515. + 366301. i) q^{32} -2.34312e6 q^{33} +(1.45301e6 - 589690. i) q^{34} +(-262316. - 633287. i) q^{35} +(42570.9 - 2.96923e6i) q^{36} +(-931899. + 2.24980e6i) q^{37} +(2.06853e6 + 2.09840e6i) q^{38} +(-2.26376e6 + 2.26376e6i) q^{39} +(799649. - 765975. i) q^{40} +(3.68492e6 - 3.68492e6i) q^{41} +(39189.0 - 5.46699e6i) q^{42} +(-1.41033e6 + 3.40484e6i) q^{43} +(-1.64423e6 - 4.13628e6i) q^{44} +(1.20005e6 + 2.89719e6i) q^{45} +(-304263. + 719915. i) q^{46} +6.30472e6 q^{47} +(8.25301e6 - 3.14445e6i) q^{48} -664215. i q^{49} +(1.97788e6 - 4.67985e6i) q^{50} +(-1.22022e7 + 5.05433e6i) q^{51} +(-5.58472e6 - 2.40764e6i) q^{52} +(-4.85359e6 - 2.01042e6i) q^{53} +(-77878.0 + 1.08642e7i) q^{54} +(3.32373e6 + 3.32373e6i) q^{55} +(9.67830e6 - 3.76716e6i) q^{56} +(-1.75487e7 - 1.75487e7i) q^{57} +(1.62630e6 + 1.64978e6i) q^{58} +(-2.79107e6 - 1.15610e6i) q^{59} +(-6.68871e6 + 6.49963e6i) q^{60} +(1.03971e7 - 4.30661e6i) q^{61} +(-1.27503e7 + 5.17458e6i) q^{62} +2.94117e7i q^{63} +(1.13422e7 + 1.23624e7i) q^{64} +6.42230e6 q^{65} +(1.40981e7 + 3.47381e7i) q^{66} +(2.18954e6 + 5.28601e6i) q^{67} +(-1.74850e7 - 1.79937e7i) q^{68} +(2.51916e6 - 6.08178e6i) q^{69} +(-7.81054e6 + 7.69936e6i) q^{70} +(3.15597e7 - 3.15597e7i) q^{71} +(-4.42767e7 + 1.72342e7i) q^{72} +(3.68404e7 - 3.68404e7i) q^{73} +(3.89617e7 + 279289. i) q^{74} +(-1.63759e7 + 3.95350e7i) q^{75} +(1.86640e7 - 4.32929e7i) q^{76} +(1.68709e7 + 4.07300e7i) q^{77} +(4.71821e7 + 1.99409e7i) q^{78} -6.78173e7 q^{79} +(-1.61674e7 - 7.24652e6i) q^{80} -1.54015e7i q^{81} +(-7.68026e7 - 3.24596e7i) q^{82} +(3.44666e7 - 1.42765e7i) q^{83} +(-8.12870e7 + 3.23129e7i) q^{84} +(2.44785e7 + 1.01393e7i) q^{85} +(5.89644e7 + 422675. i) q^{86} +(-1.37969e7 - 1.37969e7i) q^{87} +(-5.14296e7 + 4.92639e7i) q^{88} +(-1.78387e7 - 1.78387e7i) q^{89} +(3.57320e7 - 3.52234e7i) q^{90} +(5.56500e7 + 2.30510e7i) q^{91} +(1.25039e7 + 179272. i) q^{92} +(1.07076e8 - 4.43521e7i) q^{93} +(-3.79344e7 - 9.34712e7i) q^{94} +4.97858e7i q^{95} +(-9.62752e7 - 1.03436e8i) q^{96} +3.86028e7 q^{97} +(-9.84738e6 + 3.99646e6i) q^{98} +(-7.71819e7 - 1.86334e8i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) $ 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 34996 q^{10} - 4 q^{11} - 45364 q^{12} - 4 q^{13} + 145580 q^{14} - 8 q^{15} - 278384 q^{16} - 131224 q^{18} - 4 q^{19} + 689996 q^{20} - 4 q^{21} + 6048 q^{22} + 845564 q^{23} - 310832 q^{24} - 4 q^{25} + 1682096 q^{26} - 51076 q^{27} - 1807624 q^{28} - 4 q^{29} - 3968188 q^{30} + 2420456 q^{32} - 8 q^{33} + 4139280 q^{34} - 2415748 q^{35} - 2364816 q^{36} - 4 q^{37} - 4553644 q^{38} + 7650044 q^{39} - 14971800 q^{40} - 4 q^{41} + 17019656 q^{42} - 1859716 q^{43} + 13377860 q^{44} - 26248 q^{45} + 11790684 q^{46} - 8 q^{47} - 21819984 q^{48} - 49149676 q^{50} - 27697792 q^{51} - 33503196 q^{52} - 5358724 q^{53} + 82403296 q^{54} + 46326780 q^{55} + 87708200 q^{56} - 4 q^{57} - 37235424 q^{58} - 44938756 q^{59} - 167711176 q^{60} + 48952060 q^{61} + 23721528 q^{62} + 27135128 q^{64} - 8 q^{65} + 226680332 q^{66} + 93380476 q^{67} - 491760 q^{68} - 17273092 q^{69} - 167238952 q^{70} - 79832068 q^{71} - 184202092 q^{72} - 4 q^{73} + 28015148 q^{74} - 27399560 q^{75} + 201789948 q^{76} - 94964356 q^{77} + 473461108 q^{78} + 144406520 q^{79} - 447998920 q^{80} - 231632004 q^{82} - 140384644 q^{83} + 263072 q^{84} + 1562496 q^{85} + 268005440 q^{86} - 149712644 q^{87} + 220344096 q^{88} - 4 q^{89} + 51924392 q^{90} + 350400764 q^{91} - 622977496 q^{92} + 26240 q^{93} - 100742552 q^{94} + 101686144 q^{96} - 8 q^{97} + 721239576 q^{98} - 630043272 q^{99}+O(q^{100}) \) 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 34996 * q^10 - 4 * q^11 - 45364 * q^12 - 4 * q^13 + 145580 * q^14 - 8 * q^15 - 278384 * q^16 - 131224 * q^18 - 4 * q^19 + 689996 * q^20 - 4 * q^21 + 6048 * q^22 + 845564 * q^23 - 310832 * q^24 - 4 * q^25 + 1682096 * q^26 - 51076 * q^27 - 1807624 * q^28 - 4 * q^29 - 3968188 * q^30 + 2420456 * q^32 - 8 * q^33 + 4139280 * q^34 - 2415748 * q^35 - 2364816 * q^36 - 4 * q^37 - 4553644 * q^38 + 7650044 * q^39 - 14971800 * q^40 - 4 * q^41 + 17019656 * q^42 - 1859716 * q^43 + 13377860 * q^44 - 26248 * q^45 + 11790684 * q^46 - 8 * q^47 - 21819984 * q^48 - 49149676 * q^50 - 27697792 * q^51 - 33503196 * q^52 - 5358724 * q^53 + 82403296 * q^54 + 46326780 * q^55 + 87708200 * q^56 - 4 * q^57 - 37235424 * q^58 - 44938756 * q^59 - 167711176 * q^60 + 48952060 * q^61 + 23721528 * q^62 + 27135128 * q^64 - 8 * q^65 + 226680332 * q^66 + 93380476 * q^67 - 491760 * q^68 - 17273092 * q^69 - 167238952 * q^70 - 79832068 * q^71 - 184202092 * q^72 - 4 * q^73 + 28015148 * q^74 - 27399560 * q^75 + 201789948 * q^76 - 94964356 * q^77 + 473461108 * q^78 + 144406520 * q^79 - 447998920 * q^80 - 231632004 * q^82 - 140384644 * q^83 + 263072 * q^84 + 1562496 * q^85 + 268005440 * q^86 - 149712644 * q^87 + 220344096 * q^88 - 4 * q^89 + 51924392 * q^90 + 350400764 * q^91 - 622977496 * q^92 + 26240 * q^93 - 100742552 * q^94 + 101686144 * q^96 - 8 * q^97 + 721239576 * q^98 - 630043272 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/32\mathbb{Z}\right)^\times$.

$n$	$5$	$31$
$\chi(n)$	$e\left(\frac{5}{8}\right)$	$-1$

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 $

$2$	−6.01682	−	14.8256i	−0.376051	−	0.926599i
$2$	−6.01682	−	14.8256i	−0.376051	−	0.926599i
$3$	51.5711	+	124.504i	0.636680	+	1.53708i	0.831076	+	0.556159i	$0.187726\pi$
$3$	51.5711	+	124.504i	0.636680	+	1.53708i	−0.194395	+	0.980923i	$0.562274\pi$
$4$	−183.596	+	178.406i	−0.717171	+	0.696897i
$5$	103.455	−	249.763i	0.165528	−	0.399621i	−0.819250	−	0.573437i	$-0.805610\pi$
$5$	103.455	−	249.763i	0.165528	−	0.399621i	0.984778	+	0.173816i	$0.0556098\pi$
$6$	1535.55	−	1513.69i	1.18483	−	1.16797i
$7$	1792.90	−	1792.90i	0.746733	−	0.746733i	−0.227132	−	0.973864i	$-0.572935\pi$
$7$	1792.90	−	1792.90i	0.746733	−	0.746733i	0.973864	+	0.227132i	$0.0729347\pi$
$8$	3749.63	+	1648.48i	0.915437	+	0.402461i
$9$	−8202.26	+	8202.26i	−1.25015	+	1.25015i
$10$	−4325.35	−	31.0055i	−0.432535	−	0.00310055i
$11$	−6653.76	+	16063.6i	−0.454460	+	1.09716i	0.516148	+	0.856500i	$0.327366\pi$
$11$	−6653.76	+	16063.6i	−0.454460	+	1.09716i	−0.970608	+	0.240665i	$0.922634\pi$
$12$	−31680.4	−	13657.8i	−1.52780	−	0.658650i
$13$	9091.12	+	21947.9i	0.318306	+	0.768458i	0.999344	+	0.0362101i	$0.0115285\pi$
$13$	9091.12	+	21947.9i	0.318306	+	0.768458i	−0.681039	+	0.732247i	$0.738471\pi$
$14$	−37368.4	−	15793.3i	−0.972731	−	0.411112i
$15$	36431.7			0.719639
$16$	1878.84	−	65509.1i	0.0286688	−	0.999589i
$17$			98007.0i			1.17344i	0.809789	+	0.586721i	$0.199581\pi$
$17$			98007.0i			1.17344i	−0.809789	+	0.586721i	$0.800419\pi$
$18$	170955.	+	72251.8i	1.62851	+	0.688270i
$19$	−170141.	+	70474.5i	−1.30555	+	0.540776i	−0.923583	−	0.383399i	$-0.874753\pi$
$19$	−170141.	+	70474.5i	−1.30555	+	0.540776i	−0.381967	+	0.924176i	$0.624753\pi$
$20$	25565.2	+	64312.5i	0.159782	+	0.401953i
$21$	315685.	+	130761.i	1.62322	+	0.672360i
$22$	278186.	+	1994.13i	1.18753	+	0.00851259i
$23$	−34540.9	−	34540.9i	−0.123430	−	0.123430i	0.642693	−	0.766124i	$-0.277817\pi$
$23$	−34540.9	−	34540.9i	−0.123430	−	0.123430i	−0.766124	+	0.642693i	$0.777817\pi$
$24$	−11869.3	+	551857.i	−0.0357749	+	1.66334i
$25$	224535.	+	224535.i	0.574810	+	0.574810i
$26$	270691.	−	266838.i	0.592353	−	0.583921i
$27$	−627343.	−	259854.i	−1.18046	−	0.488961i
$28$	−9305.43	+	649034.i	−0.0151392	+	1.05593i
$29$	−133766.	+	55407.6i	−0.189127	+	0.0783389i	−0.475237	−	0.879858i	$-0.657638\pi$
$29$	−133766.	+	55407.6i	−0.189127	+	0.0783389i	0.286110	+	0.958197i	$0.407638\pi$
$30$	−219203.	−	540122.i	−0.270621	−	0.666817i
$31$		−	860019.i		−	0.931239i	−0.884985	−	0.465620i	$-0.845832\pi$
$31$		−	860019.i		−	0.931239i	0.884985	−	0.465620i	$-0.154168\pi$
$32$	−982515.	+	366301.i	−0.936999	+	0.349332i
$33$	−2.34312e6			−1.97578
$34$	1.45301e6	−	589690.i	1.08731	−	0.441274i
$35$	−262316.	−	633287.i	−0.174805	−	0.422015i
$36$	42570.9	−	2.96923e6i	0.0253456	−	1.76780i
$37$	−931899.	+	2.24980e6i	−0.497235	+	1.20043i	0.453731	+	0.891139i	$0.350093\pi$
$37$	−931899.	+	2.24980e6i	−0.497235	+	1.20043i	−0.950967	+	0.309294i	$0.899907\pi$
$38$	2.06853e6	+	2.09840e6i	0.992036	+	1.00636i
$39$	−2.26376e6	+	2.26376e6i	−0.978524	+	0.978524i
$40$	799649.	−	765975.i	0.312363	−	0.299209i
$41$	3.68492e6	−	3.68492e6i	1.30405	−	1.30405i	0.378406	−	0.925640i	$-0.376472\pi$
$41$	3.68492e6	−	3.68492e6i	1.30405	−	1.30405i	0.925640	−	0.378406i	$-0.123528\pi$
$42$	39189.0	−	5.46699e6i	0.0125941	−	1.75692i
$43$	−1.41033e6	+	3.40484e6i	−0.412522	+	0.995916i	0.571937	+	0.820298i	$0.306192\pi$
$43$	−1.41033e6	+	3.40484e6i	−0.412522	+	0.995916i	−0.984458	+	0.175618i	$0.943808\pi$
$44$	−1.64423e6	−	4.13628e6i	−0.438685	−	1.10357i
$45$	1.20005e6	+	2.89719e6i	0.292652	+	0.706524i
$46$	−304263.	+	719915.i	−0.0679544	+	0.160787i
$47$	6.30472e6			1.29204			0.646018	−	0.763322i	$-0.276433\pi$
$47$	6.30472e6			1.29204			0.646018	+	0.763322i	$0.276433\pi$
$48$	8.25301e6	−	3.14445e6i	1.55470	−	0.592352i
$49$		−	664215.i		−	0.115219i
$50$	1.97788e6	−	4.67985e6i	0.316460	−	0.748776i
$51$	−1.22022e7	+	5.05433e6i	−1.80368	+	0.747107i
$52$	−5.58472e6	−	2.40764e6i	−0.763815	−	0.329289i
$53$	−4.85359e6	−	2.01042e6i	−0.615120	−	0.254791i	0.0532962	−	0.998579i	$-0.483027\pi$
$53$	−4.85359e6	−	2.01042e6i	−0.615120	−	0.254791i	−0.668416	+	0.743788i	$0.733027\pi$
$54$	−77878.0	+	1.08642e7i	−0.00915883	+	1.27768i
$55$	3.32373e6	+	3.32373e6i	0.363224	+	0.363224i
$56$	9.67830e6	−	3.76716e6i	0.984117	−	0.383056i
$57$	−1.75487e7	−	1.75487e7i	−1.66244	−	1.66244i
$58$	1.62630e6	+	1.64978e6i	0.143710	+	0.145785i
$59$	−2.79107e6	−	1.15610e6i	−0.230336	−	0.0954085i	0.264530	−	0.964377i	$-0.414783\pi$
$59$	−2.79107e6	−	1.15610e6i	−0.230336	−	0.0954085i	−0.494867	+	0.868969i	$0.664783\pi$
$60$	−6.68871e6	+	6.49963e6i	−0.516104	+	0.501514i
$61$	1.03971e7	−	4.30661e6i	0.750916	−	0.311040i	0.0258010	−	0.999667i	$-0.491786\pi$
$61$	1.03971e7	−	4.30661e6i	0.750916	−	0.311040i	0.725115	+	0.688627i	$0.241786\pi$
$62$	−1.27503e7	+	5.17458e6i	−0.862885	+	0.350194i
$63$			2.94117e7i			1.86706i
$64$	1.13422e7	+	1.23624e7i	0.676050	+	0.736856i
$65$	6.42230e6			0.359780
$66$	1.40981e7	+	3.47381e7i	0.742994	+	1.83075i
$67$	2.18954e6	+	5.28601e6i	0.108656	+	0.262318i	0.968850	−	0.247648i	$-0.0796577\pi$
$67$	2.18954e6	+	5.28601e6i	0.108656	+	0.262318i	−0.860194	+	0.509967i	$0.829658\pi$
$68$	−1.74850e7	−	1.79937e7i	−0.817768	−	0.841558i
$69$	2.51916e6	−	6.08178e6i	0.111137	−	0.268309i
$70$	−7.81054e6	+	7.69936e6i	−0.325304	+	0.320673i
$71$	3.15597e7	−	3.15597e7i	1.24194	−	1.24194i	0.282742	−	0.959196i	$-0.408756\pi$
$71$	3.15597e7	−	3.15597e7i	1.24194	−	1.24194i	0.959196	−	0.282742i	$-0.0912439\pi$
$72$	−4.42767e7	+	1.72342e7i	−1.64758	+	0.641299i
$73$	3.68404e7	−	3.68404e7i	1.29728	−	1.29728i	0.367092	−	0.930185i	$-0.380353\pi$
$73$	3.68404e7	−	3.68404e7i	1.29728	−	1.29728i	0.930185	−	0.367092i	$-0.119647\pi$
$74$	3.89617e7	+	279289.i	1.29931	+	0.00931382i
$75$	−1.63759e7	+	3.95350e7i	−0.517560	+	1.24950i
$76$	1.86640e7	−	4.32929e7i	0.559437	−	1.29766i
$77$	1.68709e7	+	4.07300e7i	0.479928	+	1.15865i
$78$	4.71821e7	+	1.99409e7i	1.27467	+	0.538724i
$79$	−6.78173e7			−1.74113			−0.870567	−	0.492050i	$-0.836248\pi$
$79$	−6.78173e7			−1.74113			−0.870567	+	0.492050i	$0.836248\pi$
$80$	−1.61674e7	−	7.24652e6i	−0.394711	−	0.176917i
$81$		−	1.54015e7i		−	0.357785i
$82$	−7.68026e7	−	3.24596e7i	−1.69871	−	0.717939i
$83$	3.44666e7	−	1.42765e7i	0.726249	−	0.300822i	0.0112397	−	0.999937i	$-0.496422\pi$
$83$	3.44666e7	−	1.42765e7i	0.726249	−	0.300822i	0.715010	+	0.699114i	$0.246422\pi$
$84$	−8.12870e7	+	3.23129e7i	−1.63269	+	0.649020i
$85$	2.44785e7	+	1.01393e7i	0.468932	+	0.194238i
$86$	5.89644e7	+	422675.i	1.07794	+	0.00772703i
$87$	−1.37969e7	−	1.37969e7i	−0.240827	−	0.240827i
$88$	−5.14296e7	+	4.92639e7i	−0.857596	+	0.821483i
$89$	−1.78387e7	−	1.78387e7i	−0.284317	−	0.284317i	0.550511	−	0.834828i	$-0.314433\pi$
$89$	−1.78387e7	−	1.78387e7i	−0.284317	−	0.284317i	−0.834828	+	0.550511i	$0.814433\pi$
$90$	3.57320e7	−	3.52234e7i	0.544612	−	0.536860i
$91$	5.56500e7	+	2.30510e7i	0.811521	+	0.336143i
$92$	1.25039e7	+	179272.i	0.174539	+	0.00250243i
$93$	1.07076e8	−	4.43521e7i	1.43139	−	0.592902i
$94$	−3.79344e7	−	9.34712e7i	−0.485871	−	1.19720i
$95$			4.97858e7i			0.611239i
$96$	−9.62752e7	−	1.03436e8i	−1.13352	−	1.21783i
$97$	3.86028e7			0.436045			0.218023	−	0.975944i	$-0.430039\pi$
$97$	3.86028e7			0.436045			0.218023	+	0.975944i	$0.430039\pi$
$98$	−9.84738e6	+	3.99646e6i	−0.106762	+	0.0433283i
$99$	−7.71819e7	−	1.86334e8i	−0.803479	−	1.93977i
$100$	−8.12820e7	−	1.16537e6i	−0.812820	−	0.0116537i
$101$	3.14325e7	−	7.58848e7i	0.302060	−	0.729238i	−0.697855	−	0.716239i	$-0.745862\pi$
$101$	3.14325e7	−	7.58848e7i	0.302060	−	0.729238i	0.999916	−	0.0129990i	$-0.00413783\pi$
$102$	1.48352e8	+	1.50494e8i	1.37054	+	1.39033i
$103$	−6.45657e7	+	6.45657e7i	−0.573658	+	0.573658i	−0.933149	−	0.359491i	$-0.882950\pi$
$103$	−6.45657e7	+	6.45657e7i	−0.573658	+	0.573658i	0.359491	+	0.933149i	$0.382950\pi$
$104$	−2.09235e6	+	9.72831e7i	−0.0178855	+	0.831580i
$105$	6.53186e7	−	6.53186e7i	0.537378	−	0.537378i
$106$	−602522.	+	8.40536e7i	−0.00477254	+	0.665784i
$107$	8.28318e6	−	1.99974e7i	0.0631920	−	0.152559i	−0.889129	−	0.457656i	$-0.848689\pi$
$107$	8.28318e6	−	1.99974e7i	0.0631920	−	0.152559i	0.952321	+	0.305097i	$0.0986890\pi$
$108$	1.61537e8	−	6.42134e7i	1.18734	−	0.471988i
$109$	−6.26143e7	−	1.51164e8i	−0.443575	−	1.07089i	−0.974685	−	0.223583i	$-0.928225\pi$
$109$	−6.26143e7	−	1.51164e8i	−0.443575	−	1.07089i	0.531109	−	0.847303i	$-0.321775\pi$
$110$	2.92779e7	−	6.92744e7i	0.199972	−	0.473154i
$111$	−3.28168e8			−2.16174
$112$	−1.14083e8	−	1.20820e8i	−0.725018	−	0.767834i
$113$			2.48399e8i			1.52348i	0.647885	+	0.761738i	$0.275654\pi$
$113$			2.48399e8i			1.52348i	−0.647885	+	0.761738i	$0.724346\pi$
$114$	−1.54582e8	+	3.65757e8i	−0.915251	+	2.16557i
$115$	−1.22005e7	+	5.05360e6i	−0.0697566	+	0.0288941i
$116$	1.46738e7	−	3.40372e7i	0.0810422	−	0.187984i
$117$	−2.54590e8	−	1.05455e8i	−1.35862	−	0.562759i
$118$	−346482.	+	4.83353e7i	−0.00178712	+	0.249308i
$119$	1.75717e8	+	1.75717e8i	0.876247	+	0.876247i
$120$	1.36606e8	+	6.00570e7i	0.658784	+	0.289627i
$121$	−6.21918e7	−	6.21918e7i	−0.290129	−	0.290129i
$122$	−1.26405e8	−	1.28231e8i	−0.570592	−	0.578832i
$123$	6.48822e8	+	2.68751e8i	2.83469	+	1.17417i
$124$	1.53432e8	+	1.57896e8i	0.648978	+	0.667858i
$125$	1.76874e8	−	7.32634e7i	0.724474	−	0.300087i
$126$	4.36046e8	−	1.76965e8i	1.73002	−	0.702111i
$127$			3.50784e8i			1.34842i	0.738540	+	0.674209i	$0.235515\pi$
$127$			3.50784e8i			1.34842i	−0.738540	+	0.674209i	$0.764485\pi$
$128$	1.15035e8	−	2.42538e8i	0.428540	−	0.903523i
$129$	−4.96647e8			−1.79345
$130$	−3.86418e7	−	9.52144e7i	−0.135296	−	0.333372i
$131$	−2.15665e7	−	5.20661e7i	−0.0732308	−	0.176795i	0.883025	−	0.469325i	$-0.155503\pi$
$131$	−2.15665e7	−	5.20661e7i	−0.0732308	−	0.176795i	−0.956256	+	0.292530i	$0.905503\pi$
$132$	4.30187e8	−	4.18025e8i	1.41697	−	1.37691i
$133$	−1.78692e8	+	4.31400e8i	−0.571081	+	1.37871i
$134$	6.51941e7	−	6.42661e7i	0.202204	−	0.199325i
$135$	−1.29804e8	+	1.29804e8i	−0.390798	+	0.390798i
$136$	−1.61563e8	+	3.67490e8i	−0.472264	+	1.07421i
$137$	1.55685e8	−	1.55685e8i	0.441940	−	0.441940i	−0.450724	−	0.892664i	$-0.648834\pi$
$137$	1.55685e8	−	1.55685e8i	0.441940	−	0.441940i	0.892664	+	0.450724i	$0.148834\pi$
$138$	−1.05323e8	−	754989.i	−0.290408	−	0.00208173i
$139$	1.29141e7	−	3.11774e7i	0.0345943	−	0.0835181i	−0.905638	−	0.424051i	$-0.860608\pi$
$139$	1.29141e7	−	3.11774e7i	0.0345943	−	0.0835181i	0.940232	+	0.340533i	$0.110608\pi$
$140$	1.61142e8	+	6.94702e7i	0.419466	+	0.180837i
$141$	3.25141e8	+	7.84961e8i	0.822614	+	1.98597i
$142$	−6.57780e8	−	2.78002e8i	−1.61781	−	0.683746i
$143$	−4.13052e8			−0.987782
$144$	5.21912e8	+	5.52733e8i	1.21380	+	1.28548i
$145$			3.91420e7i			0.0885464i
$146$	−7.67842e8	−	3.24518e8i	−1.68990	−	0.714213i
$147$	8.26973e7	−	3.42543e7i	0.177101	−	0.0733578i
$148$	−2.30285e8	−	5.79311e8i	−0.479975	−	1.20744i
$149$	1.65677e8	+	6.86258e7i	0.336138	+	0.139233i	0.544367	−	0.838847i	$-0.316770\pi$
$149$	1.65677e8	+	6.86258e7i	0.336138	+	0.139233i	−0.208229	+	0.978080i	$0.566770\pi$
$150$	6.84660e8	+	4.90785e6i	1.35241	+	0.00969452i
$151$	−5.15870e8	−	5.15870e8i	−0.992277	−	0.992277i	0.00769348	−	0.999970i	$-0.497551\pi$
$151$	−5.15870e8	−	5.15870e8i	−0.992277	−	0.992277i	−0.999970	+	0.00769348i	$0.997551\pi$
$152$	−7.54140e8	−	1.62199e7i	−1.41279	−	0.0303861i
$153$	−8.03879e8	−	8.03879e8i	−1.46698	−	1.46698i
$154$	5.02337e8	−	4.95187e8i	0.893125	−	0.880412i
$155$	−2.14801e8	−	8.89735e7i	−0.372143	−	0.154147i
$156$	1.17492e7	−	8.19483e8i	0.0198386	−	1.38370i
$157$	4.24167e7	−	1.75696e7i	0.0698133	−	0.0289176i	−0.347504	−	0.937679i	$-0.612971\pi$
$157$	4.24167e7	−	1.75696e7i	0.0698133	−	0.0289176i	0.417317	+	0.908761i	$0.362971\pi$
$158$	4.08044e8	+	1.00543e9i	0.654755	+	1.61333i
$159$		−	7.07969e8i		−	1.10771i
$160$	−1.01578e7	+	2.83292e8i	−0.0154995	+	0.432269i
$161$	−1.23857e8			−0.184339
$162$	−2.28336e8	+	9.26680e7i	−0.331524	+	0.134546i
$163$	−1.67947e8	−	4.05460e8i	−0.237915	−	0.574378i	0.759152	−	0.650914i	$-0.225614\pi$
$163$	−1.67947e8	−	4.05460e8i	−0.237915	−	0.574378i	−0.997067	+	0.0765358i	$0.975614\pi$
$164$	−1.91253e7	+	1.33395e9i	−0.0264382	+	1.84401i
$165$	−2.42408e8	+	5.85224e8i	−0.327048	+	0.789563i
$166$	−4.19037e8	−	4.25088e8i	−0.551849	−	0.559817i
$167$	4.57553e8	−	4.57553e8i	0.588269	−	0.588269i	−0.348893	−	0.937162i	$-0.613442\pi$
$167$	4.57553e8	−	4.57553e8i	0.588269	−	0.588269i	0.937162	+	0.348893i	$0.113442\pi$
$168$	9.68146e8	+	1.01071e9i	1.21536	+	1.26879i
$169$	1.77746e8	−	1.77746e8i	0.217898	−	0.217898i
$170$	3.03875e6	−	4.23915e8i	0.00363831	−	0.507555i
$171$	8.17487e8	−	1.97359e9i	0.956085	−	2.30819i
$172$	−3.48512e8	−	8.76725e8i	−0.398202	−	1.00173i
$173$	4.82324e8	+	1.16443e9i	0.538461	+	1.29996i	0.925797	+	0.378021i	$0.123395\pi$
$173$	4.82324e8	+	1.16443e9i	0.538461	+	1.29996i	−0.387336	+	0.921939i	$0.626605\pi$
$174$	−1.21534e8	+	2.87561e8i	−0.132587	+	0.313713i
$175$	8.05140e8			0.858458
$176$	1.03981e9	+	4.66062e8i	1.08368	+	0.485728i
$177$		−	4.07120e8i		−	0.414791i
$178$	−1.57137e8	+	3.71801e8i	−0.156530	+	0.370366i
$179$	8.98129e8	−	3.72017e8i	0.874836	−	0.362369i	0.100344	−	0.994953i	$-0.468006\pi$
$179$	8.98129e8	−	3.72017e8i	0.874836	−	0.362369i	0.774492	+	0.632584i	$0.218006\pi$
$180$	−7.37200e8	−	3.17815e8i	−0.702256	−	0.302750i
$181$	1.39869e9	+	5.79358e8i	1.30319	+	0.539800i	0.922890	−	0.385063i	$-0.125820\pi$
$181$	1.39869e9	+	5.79358e8i	1.30319	+	0.539800i	0.380301	+	0.924863i	$0.375820\pi$
$182$	6.90837e6	−	9.63738e8i	0.00629637	−	0.878362i
$183$	1.07238e9	+	1.07238e9i	0.956188	+	0.956188i
$184$	−7.25756e7	−	1.86456e8i	−0.0633169	−	0.162669i
$185$	4.65508e8	+	4.65508e8i	0.397411	+	0.397411i
$186$	−1.30180e9	−	1.32060e9i	−1.08766	−	1.10336i
$187$	−1.57434e9	−	6.52115e8i	−1.28746	−	0.533283i
$188$	−1.15752e9	+	1.12480e9i	−0.926610	+	0.900416i
$189$	−1.59066e9	+	6.58873e8i	−1.24661	+	0.516362i
$190$	7.38103e8	−	2.99552e8i	0.566373	−	0.229857i
$191$		−	4.17252e7i		−	0.0313520i	−0.999877	−	0.0156760i	$-0.995010\pi$
$191$		−	4.17252e7i		−	0.0313520i	0.999877	−	0.0156760i	$-0.00499003\pi$
$192$	−9.54230e8	+	2.04969e9i	−0.702180	+	1.50829i
$193$	−1.69819e8			−0.122393			−0.0611966	−	0.998126i	$-0.519492\pi$
$193$	−1.69819e8			−0.122393			−0.0611966	+	0.998126i	$0.519492\pi$
$194$	−2.32266e8	−	5.72309e8i	−0.163975	−	0.404039i
$195$	3.31205e8	+	7.99600e8i	0.229065	+	0.553012i
$196$	1.18500e8	+	1.21947e8i	0.0802959	+	0.0826318i
$197$	−4.65932e7	+	1.12486e8i	−0.0309355	+	0.0746850i	−0.938592	−	0.345028i	$-0.887869\pi$
$197$	−4.65932e7	+	1.12486e8i	−0.0309355	+	0.0746850i	0.907657	+	0.419713i	$0.137869\pi$
$198$	−2.29811e9	+	2.26540e9i	−1.49524	+	1.47396i
$199$	−1.43289e9	+	1.43289e9i	−0.913691	+	0.913691i	−0.996560	−	0.0828693i	$-0.973592\pi$
$199$	−1.43289e9	+	1.43289e9i	−0.913691	+	0.913691i	0.0828693	+	0.996560i	$0.473592\pi$
$200$	4.71782e8	+	1.21206e9i	0.294864	+	0.757540i
$201$	−5.45211e8	+	5.45211e8i	−0.334026	+	0.334026i
$202$	−1.31416e9	−	9.42030e6i	−0.789301	−	0.00565795i
$203$	−1.40489e8	+	3.39170e8i	−0.0827290	+	0.199725i
$204$	1.33856e9	−	3.10490e9i	0.772888	−	1.79278i
$205$	−5.39133e8	−	1.30158e9i	−0.305267	−	0.736980i
$206$	1.34570e9	+	5.68744e8i	0.747275	+	0.315826i
$207$	5.66627e8			0.308614
$208$	1.45487e9	−	5.54314e8i	0.777267	−	0.296144i
$209$		−	3.20199e9i		−	1.67816i
$210$	−1.36140e9	−	5.75376e8i	−0.700015	−	0.295852i
$211$	−1.66012e8	+	6.87645e7i	−0.0837549	+	0.0346924i	−0.424168	−	0.905584i	$-0.639433\pi$
$211$	−1.66012e8	+	6.87645e7i	−0.0837549	+	0.0346924i	0.340413	+	0.940276i	$0.389433\pi$
$212$	1.24977e9	−	4.96803e8i	0.618709	−	0.245946i
$213$	5.55687e9	+	2.30173e9i	2.69968	+	1.11824i
$214$	−3.46311e8	−	2.48246e6i	−0.165124	−	0.00118366i
$215$	7.04497e8	+	7.04497e8i	0.329705	+	0.329705i
$216$	−1.92394e9	−	2.00852e9i	−0.883846	−	0.922701i
$217$	−1.54193e9	−	1.54193e9i	−0.695387	−	0.695387i
$218$	−1.86436e9	+	1.83782e9i	−0.825475	+	0.813724i
$219$	6.48666e9	+	2.68686e9i	2.81997	+	1.16807i
$220$	−1.20319e9	−	1.72506e7i	−0.513623	−	0.00736400i
$221$	−2.15105e9	+	8.90994e8i	−0.901740	+	0.373513i
$222$	1.97453e9	+	4.86528e9i	0.812926	+	2.00307i
$223$		−	3.72149e9i		−	1.50486i	−0.658671	−	0.752431i	$-0.728881\pi$
$223$		−	3.72149e9i		−	1.50486i	0.658671	−	0.752431i	$-0.271119\pi$
$224$	−1.10481e9	+	2.41830e9i	−0.438830	+	0.960545i
$225$	−3.68339e9			−1.43720
$226$	3.68266e9	−	1.49457e9i	1.41165	−	0.572905i
$227$	−3.90211e8	−	9.42053e8i	−0.146959	−	0.354790i	0.833209	−	0.552958i	$-0.186501\pi$
$227$	−3.90211e8	−	9.42053e8i	−0.146959	−	0.354790i	−0.980168	+	0.198168i	$0.936501\pi$
$228$	6.35265e9	+	9.10801e7i	2.35080	+	0.0337042i
$229$	−2.12906e8	+	5.14000e8i	−0.0774186	+	0.186905i	−0.957850	−	0.287268i	$-0.907253\pi$
$229$	−2.12906e8	+	5.14000e8i	−0.0774186	+	0.186905i	0.880432	+	0.474173i	$0.157253\pi$
$230$	1.48331e8	+	1.50473e8i	0.0530053	+	0.0537707i
$231$	−4.20099e9	+	4.20099e9i	−1.47538	+	1.47538i
$232$	−5.92911e8	−	1.27522e7i	−0.204662	−	0.00440185i
$233$	1.52098e9	−	1.52098e9i	0.516061	−	0.516061i	−0.400316	−	0.916377i	$-0.631100\pi$
$233$	1.52098e9	−	1.52098e9i	0.516061	−	0.516061i	0.916377	+	0.400316i	$0.131100\pi$
$234$	−3.16047e7	+	4.40895e9i	−0.0105412	+	1.47052i
$235$	6.52256e8	−	1.57469e9i	0.213869	−	0.516324i
$236$	7.18683e8	−	2.85688e8i	0.231681	−	0.0920966i
$237$	−3.49741e9	−	8.44350e9i	−1.10855	−	2.67627i
$238$	1.54785e9	−	3.66237e9i	0.482416	−	1.14144i
$239$	−6.59839e8			−0.202230			−0.101115	−	0.994875i	$-0.532241\pi$
$239$	−6.59839e8			−0.202230			−0.101115	+	0.994875i	$0.532241\pi$
$240$	6.84493e7	−	2.38661e9i	0.0206312	−	0.719343i
$241$			2.84351e9i			0.842920i	0.906847	+	0.421460i	$0.138482\pi$
$241$			2.84351e9i			0.842920i	−0.906847	+	0.421460i	$0.861518\pi$
$242$	−5.47833e8	+	1.29623e9i	−0.159730	+	0.377937i
$243$	−2.19845e9	+	9.10629e8i	−0.630510	+	0.261166i
$244$	−1.14054e9	+	2.64557e9i	−0.321773	+	0.746380i
$245$	−1.65896e8	−	6.87166e7i	−0.0460440	−	0.0190720i
$246$	8.05444e7	−	1.12362e10i	0.0219935	−	3.06816i
$247$	−3.09354e9	−	3.09354e9i	−0.831128	−	0.831128i
$248$	1.41772e9	−	3.22475e9i	0.374787	−	0.852491i
$249$	3.55496e9	+	3.55496e9i	0.924778	+	0.924778i
$250$	−2.15039e9	−	2.18144e9i	−0.550500	−	0.558449i
$251$	−6.25072e9	−	2.58913e9i	−1.57484	−	0.652319i	−0.587251	−	0.809405i	$-0.699790\pi$
$251$	−6.25072e9	−	2.58913e9i	−1.57484	−	0.652319i	−0.987585	+	0.157086i	$0.949790\pi$
$252$	−5.24722e9	−	5.39987e9i	−1.30115	−	1.33900i
$253$	7.84677e8	−	3.25024e8i	0.191518	−	0.0793293i
$254$	5.20058e9	−	2.11060e9i	1.24944	−	0.507074i
$255$			3.57056e9i			0.844454i
$256$	−4.28791e9	−	2.46162e8i	−0.998356	−	0.0573140i
$257$	4.90439e9			1.12422			0.562112	−	0.827061i	$-0.309989\pi$
$257$	4.90439e9			1.12422			0.562112	+	0.827061i	$0.309989\pi$
$258$	2.98824e9	+	7.36308e9i	0.674429	+	1.66181i
$259$	2.36288e9	+	5.70449e9i	0.525100	+	1.26770i
$260$	−1.17911e9	+	1.14578e9i	−0.258024	+	0.250730i
$261$	6.42715e8	−	1.55165e9i	0.138502	−	0.334374i
$262$	−6.42148e8	+	6.33007e8i	−0.136279	+	0.134339i
$263$	−3.97814e9	+	3.97814e9i	−0.831491	+	0.831491i	−0.987721	−	0.156230i	$-0.950066\pi$
$263$	−3.97814e9	+	3.97814e9i	−0.831491	+	0.831491i	0.156230	+	0.987721i	$0.450066\pi$
$264$	−8.78583e9	−	3.86258e9i	−1.80870	−	0.795174i
$265$	−1.00426e9	+	1.00426e9i	−0.203640	+	0.203640i
$266$	7.47091e9	+	5.35538e7i	1.49227	+	0.0106970i
$267$	1.30102e9	−	3.14095e9i	0.256000	−	0.618038i
$268$	−1.34504e9	−	5.79863e8i	−0.260734	−	0.112405i
$269$	−6.40083e8	−	1.54530e9i	−0.122244	−	0.295123i	0.850897	−	0.525332i	$-0.176059\pi$
$269$	−6.40083e8	−	1.54530e9i	−0.122244	−	0.295123i	−0.973141	+	0.230209i	$0.926059\pi$
$270$	2.70542e9	+	1.14341e9i	0.509073	+	0.215153i
$271$	−7.22514e9			−1.33958			−0.669790	−	0.742550i	$-0.733616\pi$
$271$	−7.22514e9			−1.33958			−0.669790	+	0.742550i	$0.733616\pi$
$272$	6.42035e9	+	1.84139e8i	1.17296	+	0.0336412i
$273$			8.11740e9i			1.46139i
$274$	−3.24484e9	−	1.37139e9i	−0.575693	−	0.243309i
$275$	−5.10084e9	+	2.11284e9i	−0.891889	+	0.369433i
$276$	6.22518e8	+	1.56602e9i	0.107279	+	0.269874i
$277$	4.18637e9	+	1.73405e9i	0.711080	+	0.294539i	0.708752	−	0.705458i	$-0.249259\pi$
$277$	4.18637e9	+	1.73405e9i	0.711080	+	0.294539i	0.00232871	+	0.999997i	$0.499259\pi$
$278$	−5.39925e8	−	3.87035e6i	−0.0903971	−	0.000647994i
$279$	7.05410e9	+	7.05410e9i	1.16419	+	1.16419i
$280$	6.03729e7	−	2.80701e9i	0.00982222	−	0.456681i
$281$	1.56106e9	+	1.56106e9i	0.250378	+	0.250378i	0.821125	−	0.570748i	$-0.193347\pi$
$281$	1.56106e9	+	1.56106e9i	0.250378	+	0.250378i	−0.570748	+	0.821125i	$0.693347\pi$
$282$	9.68119e9	−	9.54338e9i	1.53085	−	1.50906i
$283$	2.00793e9	+	8.31710e8i	0.313041	+	0.129666i	0.533672	−	0.845691i	$-0.320812\pi$
$283$	2.00793e9	+	8.31710e8i	0.313041	+	0.129666i	−0.220631	+	0.975357i	$0.570812\pi$
$284$	−1.63799e8	+	1.14247e10i	−0.0251790	+	1.75618i
$285$	−6.19852e9	+	2.56751e9i	−0.939525	+	0.389164i
$286$	2.48526e9	+	6.12374e9i	0.371456	+	0.915277i
$287$		−	1.32134e10i		−	1.94755i
$288$	5.05434e9	−	1.10633e10i	0.734674	−	1.60811i
$289$	−2.62961e9			−0.376964
$290$	5.80303e8	−	2.35510e8i	0.0820470	−	0.0332980i
$291$	1.99079e9	+	4.80619e9i	0.277622	+	0.670238i
$292$	−1.91207e8	+	1.33363e10i	−0.0263010	+	1.83444i
$293$	4.45050e9	−	1.07444e10i	0.603862	−	1.45785i	−0.265713	−	0.964052i	$-0.585607\pi$
$293$	4.45050e9	−	1.07444e10i	0.603862	−	1.45785i	0.869575	−	0.493801i	$-0.164393\pi$
$294$	−1.00541e9	−	1.01993e9i	−0.134572	−	0.136516i
$295$	−5.77502e8	+	5.77502e8i	−0.0762544	+	0.0762544i
$296$	−7.20303e9	+	6.89971e9i	−0.938315	+	0.898802i
$297$	8.34837e9	−	8.34837e9i	1.07294	−	1.07294i
$298$	2.05671e7	−	2.86917e9i	0.00260800	−	0.363824i
$299$	4.44085e8	−	1.07212e9i	0.0555625	−	0.134140i
$300$	−4.04671e9	−	1.01800e10i	−0.499594	−	1.25679i
$301$	3.57596e9	+	8.63314e9i	0.435639	+	1.05173i
$302$	−4.54418e9	+	1.07520e10i	−0.546296	+	1.29259i
$303$	1.10689e10			1.31321
$304$	4.29705e9	+	1.12782e10i	0.503126	+	1.32052i
$305$		−	3.04235e9i		−	0.351568i
$306$	−7.08118e9	+	1.67548e10i	−0.807644	+	1.91096i
$307$	−8.48809e9	+	3.51588e9i	−0.955557	+	0.395805i	−0.805317	−	0.592845i	$-0.798005\pi$
$307$	−8.48809e9	+	3.51588e9i	−0.955557	+	0.395805i	−0.150240	+	0.988650i	$0.548005\pi$
$308$	−1.03639e10	−	4.46799e9i	−1.15165	−	0.496489i
$309$	−1.13684e10	−	4.70894e9i	−1.24700	−	0.516523i
$310$	−2.66653e7	+	3.71989e9i	−0.00288735	+	0.402794i
$311$	6.05901e9	+	6.05901e9i	0.647679	+	0.647679i	0.952432	−	0.304752i	$-0.0985737\pi$
$311$	6.05901e9	+	6.05901e9i	0.647679	+	0.647679i	−0.304752	+	0.952432i	$0.598574\pi$
$312$	−1.22200e10	+	4.75649e9i	−1.28959	+	0.501959i
$313$	−5.67874e9	−	5.67874e9i	−0.591663	−	0.591663i	0.346417	−	0.938081i	$-0.387398\pi$
$313$	−5.67874e9	−	5.67874e9i	−0.591663	−	0.591663i	−0.938081	+	0.346417i	$0.887398\pi$
$314$	−5.15693e8	−	5.23139e8i	−0.0530484	−	0.0538144i
$315$	7.34597e9	+	3.04280e9i	0.746117	+	0.309052i
$316$	1.24510e10	−	1.20990e10i	1.24869	−	1.21339i
$317$	4.33489e9	−	1.79557e9i	0.429281	−	0.177814i	−0.157572	−	0.987507i	$-0.550367\pi$
$317$	4.33489e9	−	1.79557e9i	0.429281	−	0.177814i	0.586853	+	0.809694i	$0.300367\pi$
$318$	−1.04961e10	+	4.25972e9i	−1.02640	+	0.416556i
$319$		−	2.51743e9i		−	0.243105i
$320$	4.26108e9	−	1.55392e9i	0.406368	−	0.148193i
$321$	2.91692e9			0.274729
$322$	7.45226e8	+	1.83625e9i	0.0693209	+	0.170808i
$323$	−6.90700e9	−	1.66750e10i	−0.634569	−	1.53199i
$324$	2.74771e9	+	2.82765e9i	0.249340	+	0.256593i
$325$	−2.88680e9	+	6.96935e9i	−0.258752	+	0.624682i
$326$	−5.00068e9	+	4.92949e9i	−0.442750	+	0.436447i
$327$	1.55914e10	−	1.55914e10i	1.36362	−	1.36362i
$328$	1.98916e10	−	7.74257e9i	1.71860	−	0.668944i
$329$	1.13038e10	−	1.13038e10i	0.964805	−	0.964805i
$330$	1.01348e10	+	7.26494e7i	0.854594	+	0.00612599i
$331$	−6.33014e9	+	1.52823e10i	−0.527353	+	1.27314i	0.405898	+	0.913918i	$0.366959\pi$
$331$	−6.33014e9	+	1.52823e10i	−0.527353	+	1.27314i	−0.933251	+	0.359225i	$0.883041\pi$
$332$	−3.78091e9	+	8.77014e9i	−0.311203	+	0.721862i
$333$	−1.08098e10	−	2.60972e10i	−0.879105	−	2.12235i
$334$	−9.53651e9	−	4.03048e9i	−0.766309	−	0.323870i
$335$	1.54677e9			0.122814
$336$	9.15916e9	−	2.04346e10i	0.718619	−	1.60328i
$337$			1.43091e10i			1.10941i	0.832046	+	0.554706i	$0.187169\pi$
$337$			1.43091e10i			1.10941i	−0.832046	+	0.554706i	$0.812831\pi$
$338$	−3.70466e9	−	1.56573e9i	−0.283845	−	0.119963i
$339$	−3.09266e10	+	1.28102e10i	−2.34171	+	0.969968i
$340$	−6.30307e9	+	2.50557e9i	−0.471668	+	0.187495i
$341$	1.38150e10	+	5.72236e9i	1.02172	+	0.423211i
$342$	−3.41783e10	−	2.45000e8i	−2.49831	−	0.0179086i
$343$	9.14487e9	+	9.14487e9i	0.660695	+	0.660695i
$344$	−1.09010e10	+	1.04420e10i	−0.778455	+	0.745674i
$345$	−1.25838e9	−	1.25838e9i	−0.0888254	−	0.0888254i
$346$	1.43613e10	−	1.41569e10i	1.00205	−	0.987789i
$347$	2.14543e10	+	8.88667e9i	1.47978	+	0.612944i	0.969065	−	0.246806i	$-0.0793811\pi$
$347$	2.14543e10	+	8.88667e9i	1.47978	+	0.612944i	0.510714	+	0.859751i	$0.329381\pi$
$348$	4.99450e9	+	7.16079e7i	0.340546	+	0.00488252i
$349$	1.53275e10	−	6.34887e9i	1.03317	−	0.427952i	0.199312	−	0.979936i	$-0.436129\pi$
$349$	1.53275e10	−	6.34887e9i	1.03317	−	0.427952i	0.833854	+	0.551985i	$0.186129\pi$
$350$	−4.84438e9	−	1.19367e10i	−0.322824	−	0.795446i
$351$		−	1.61312e10i		−	1.06277i
$352$	6.53301e8	−	1.82200e10i	0.0425542	−	1.18680i
$353$	−2.92702e10			−1.88507			−0.942534	−	0.334109i	$-0.891565\pi$
$353$	−2.92702e10			−1.88507			−0.942534	+	0.334109i	$0.891565\pi$
$354$	−6.03579e9	+	2.44957e9i	−0.384345	+	0.155983i
$355$	−4.61743e9	−	1.11475e10i	−0.290728	−	0.701880i
$356$	6.45764e9	+	9.25854e7i	0.402044	+	0.00576424i
$357$	−1.28155e10	+	3.09394e10i	−0.788975	+	1.90475i
$358$	−1.09193e10	−	1.10769e10i	−0.664754	−	0.674353i
$359$	1.98404e10	−	1.98404e10i	1.19446	−	1.19446i	0.218664	−	0.975800i	$-0.429830\pi$
$359$	1.98404e10	−	1.98404e10i	1.19446	−	1.19446i	0.975800	−	0.218664i	$-0.0701698\pi$
$360$	−2.76197e8	+	1.28417e10i	−0.0164440	+	0.764559i
$361$	1.19720e10	−	1.19720e10i	0.704915	−	0.704915i
$362$	1.73633e8	−	2.42223e10i	0.0101111	−	1.41053i
$363$	4.53581e9	−	1.09504e10i	0.261233	−	0.630672i
$364$	−1.43295e10	+	5.69622e9i	−0.816257	+	0.324475i
$365$	−5.39004e9	−	1.30127e10i	−0.303683	−	0.733155i
$366$	9.44632e9	−	2.23509e10i	0.526427	−	1.24558i
$367$	1.22617e10			0.675907			0.337954	−	0.941163i	$-0.390265\pi$
$367$	1.22617e10			0.675907			0.337954	+	0.941163i	$0.390265\pi$
$368$	−2.32764e9	+	2.19785e9i	−0.126918	+	0.119841i
$369$			6.04494e10i			3.26052i
$370$	4.10055e9	−	9.70230e9i	0.218794	−	0.517688i
$371$	−1.23065e10	+	5.09753e9i	−0.649590	+	0.269069i
$372$	−1.17459e10	+	2.72457e10i	−0.613361	+	1.42274i
$373$	−2.93595e9	−	1.21611e9i	−0.151675	−	0.0628258i	0.305554	−	0.952175i	$-0.401158\pi$
$373$	−2.93595e9	−	1.21611e9i	−0.151675	−	0.0628258i	−0.457229	+	0.889349i	$0.651158\pi$
$374$	−1.95438e8	+	2.72642e10i	−0.00998903	+	1.39350i
$375$	1.82431e10	+	1.82431e10i	0.922517	+	0.922517i
$376$	2.36404e10	+	1.03932e10i	1.18278	+	0.519994i
$377$	−2.43216e9	−	2.43216e9i	−0.120400	−	0.120400i
$378$	1.93389e10	+	1.96181e10i	0.947249	+	0.960927i
$379$	−1.20811e9	−	5.00417e8i	−0.0585532	−	0.0242535i	0.353215	−	0.935542i	$-0.385089\pi$
$379$	−1.20811e9	−	5.00417e8i	−0.0585532	−	0.0242535i	−0.411768	+	0.911289i	$0.635089\pi$
$380$	−8.88207e9	−	9.14046e9i	−0.425971	−	0.438363i
$381$	−4.36739e10	+	1.80903e10i	−2.07263	+	0.858512i
$382$	−6.18601e8	+	2.51053e8i	−0.0290507	+	0.0117900i
$383$		−	1.64833e10i		−	0.766036i	−0.923741	−	0.383018i	$-0.874885\pi$
$383$		−	1.64833e10i		−	0.766036i	0.923741	−	0.383018i	$-0.125115\pi$
$384$	3.61293e10	+	1.81439e9i	1.66163	+	0.0834462i
$385$	1.19182e10			0.542462
$386$	1.02177e9	+	2.51767e9i	0.0460261	+	0.113409i
$387$	−1.63595e10	−	3.94953e10i	−0.729332	−	1.76076i
$388$	−7.08731e9	+	6.88695e9i	−0.312719	+	0.303879i
$389$	7.06314e9	−	1.70519e10i	0.308460	−	0.744689i	−0.691295	−	0.722573i	$-0.742959\pi$
$389$	7.06314e9	−	1.70519e10i	0.308460	−	0.744689i	0.999755	−	0.0221167i	$-0.00704054\pi$
$390$	9.86174e9	−	9.72136e9i	0.426280	−	0.420212i
$391$	3.38525e9	−	3.38525e9i	0.144838	−	0.144838i
$392$	1.09495e9	−	2.49056e9i	0.0463712	−	0.105476i
$393$	5.37021e9	−	5.37021e9i	0.225124	−	0.225124i
$394$	1.94801e9	+	1.39639e7i	0.0808364	+	0.000579460i
$395$	−7.01606e9	+	1.69383e10i	−0.288207	+	0.695793i
$396$	4.74132e10	+	2.04404e10i	1.92805	+	0.831205i
$397$	1.32082e10	+	3.18874e10i	0.531718	+	1.28368i	0.930385	+	0.366585i	$0.119473\pi$
$397$	1.32082e10	+	3.18874e10i	0.531718	+	1.28368i	−0.398667	+	0.917096i	$0.630527\pi$
$398$	2.98648e10	+	1.26220e10i	1.19022	+	0.503031i
$399$	−6.29262e10			−2.48279
$400$	1.51309e10	−	1.42872e10i	0.591052	−	0.558094i
$401$			6.57671e9i			0.254350i	0.991880	+	0.127175i	$0.0405909\pi$
$401$			6.57671e9i			0.254350i	−0.991880	+	0.127175i	$0.959409\pi$
$402$	1.13635e10	+	4.80263e9i	0.435119	+	0.183897i
$403$	1.88756e10	−	7.81854e9i	0.715618	−	0.296419i
$404$	7.76740e9	+	1.95399e10i	0.291575	+	0.733493i
$405$	−3.84672e9	−	1.59337e9i	−0.142979	−	0.0592237i
$406$	5.87369e9	+	4.21044e7i	0.216176	+	0.00154961i
$407$	−2.99393e10	−	2.99393e10i	−1.09110	−	1.09110i
$408$	−5.40858e10	−	1.16327e9i	−1.95183	−	0.0419798i
$409$	1.88622e10	+	1.88622e10i	0.674060	+	0.674060i	0.958650	−	0.284589i	$-0.0918572\pi$
$409$	1.88622e10	+	1.88622e10i	0.674060	+	0.674060i	−0.284589	+	0.958650i	$0.591857\pi$
$410$	−1.60528e10	+	1.58243e10i	−0.568089	+	0.560003i
$411$	2.74121e10	+	1.13545e10i	0.960673	+	0.397924i
$412$	3.35105e8	−	2.33729e10i	0.0116303	−	0.811191i
$413$	−7.07690e9	+	2.93135e9i	−0.243244	+	0.100755i
$414$	−3.40929e9	−	8.40057e9i	−0.116055	−	0.285962i
$415$		−	1.00855e10i		−	0.340019i
$416$	−1.69717e10	−	1.82341e10i	−0.566699	−	0.608850i
$417$	4.54770e9			0.150400
$418$	−4.74713e10	+	1.92658e10i	−1.55499	+	0.631076i
$419$	9.48680e9	+	2.29032e10i	0.307797	+	0.743087i	0.999776	+	0.0211693i	$0.00673889\pi$
$419$	9.48680e9	+	2.29032e10i	0.307797	+	0.743087i	−0.691979	+	0.721917i	$0.743261\pi$
$420$	−3.39013e8	+	2.36454e10i	−0.0108948	+	0.759889i
$421$	−1.03629e10	+	2.50183e10i	−0.329878	+	0.796395i	0.668723	+	0.743512i	$0.266841\pi$
$421$	−1.03629e10	+	2.50183e10i	−0.329878	+	0.796395i	−0.998601	+	0.0528836i	$0.983159\pi$
$422$	2.01834e9	+	2.04748e9i	0.0636421	+	0.0645611i
$423$	−5.17130e10	+	5.17130e10i	−1.61524	+	1.61524i
$424$	−1.48850e10	−	1.55394e10i	−0.460560	−	0.480807i
$425$	−2.20060e10	+	2.20060e10i	−0.674505	+	0.674505i
$426$	6.89827e8	−	9.62330e10i	0.0209460	−	2.92204i
$427$	1.09196e10	−	2.63623e10i	0.328470	−	0.792997i
$428$	2.04689e9	+	5.14920e9i	0.0609984	+	0.153449i
$429$	−2.13016e10	−	5.14265e10i	−0.628901	−	1.51830i
$430$	6.20575e9	−	1.46834e10i	0.181518	−	0.429490i
$431$	1.45463e10			0.421545			0.210773	−	0.977535i	$-0.432402\pi$
$431$	1.45463e10			0.421545			0.210773	+	0.977535i	$0.432402\pi$
$432$	−1.82015e10	+	4.06084e10i	−0.522602	+	1.16595i
$433$			1.56981e10i			0.446577i	0.974752	+	0.223288i	$0.0716792\pi$
$433$			1.56981e10i			0.446577i	−0.974752	+	0.223288i	$0.928321\pi$
$434$	−1.35825e10	+	3.21376e10i	−0.382844	+	0.905845i
$435$	−4.87332e9	+	2.01860e9i	−0.136103	+	0.0563758i
$436$	3.84643e10	+	1.65824e10i	1.06442	+	0.458882i
$437$	8.31106e9	+	3.44255e9i	0.227893	+	0.0943963i
$438$	8.05251e8	−	1.12335e11i	0.0218794	−	3.05224i
$439$	1.84952e10	+	1.84952e10i	0.497967	+	0.497967i	0.910805	−	0.412838i	$-0.135462\pi$
$439$	1.84952e10	+	1.84952e10i	0.497967	+	0.497967i	−0.412838	+	0.910805i	$0.635462\pi$
$440$	6.98365e9	+	1.79418e10i	0.186325	+	0.478692i
$441$	5.44807e9	+	5.44807e9i	0.144042	+	0.144042i
$442$	2.61520e10	+	2.65296e10i	0.685197	+	0.695091i
$443$	−4.50128e9	−	1.86449e9i	−0.116875	−	0.0484112i	0.323480	−	0.946235i	$-0.395147\pi$
$443$	−4.50128e9	−	1.86449e9i	−0.116875	−	0.0484112i	−0.440355	+	0.897824i	$0.645147\pi$
$444$	6.02503e10	−	5.85470e10i	1.55034	−	1.50651i
$445$	−6.30096e9	+	2.60994e9i	−0.160682	+	0.0665565i
$446$	−5.51732e10	+	2.23915e10i	−1.39440	+	0.565905i
$447$			2.41666e10i			0.605319i
$448$	4.25001e10	+	1.82902e9i	1.05506	+	0.0454053i
$449$	−1.27328e10			−0.313283			−0.156642	−	0.987656i	$-0.550067\pi$
$449$	−1.27328e10			−0.313283			−0.156642	+	0.987656i	$0.550067\pi$
$450$	2.21623e10	+	5.46084e10i	0.540461	+	1.33171i
$451$	3.46745e10	+	8.37116e10i	0.838115	+	2.02339i
$452$	−4.43158e10	−	4.56050e10i	−1.06171	−	1.09259i
$453$	3.76238e10	−	9.08318e10i	0.893448	−	2.15697i
$454$	−1.16187e10	+	1.14533e10i	−0.273484	+	0.269591i
$455$	1.15146e10	−	1.15146e10i	0.268660	−	0.268660i
$456$	−3.68724e10	−	9.47297e10i	−0.852790	−	2.19092i
$457$	−2.81323e9	+	2.81323e9i	−0.0644972	+	0.0644972i	−0.738620	−	0.674122i	$-0.764522\pi$
$457$	−2.81323e9	+	2.81323e9i	−0.0644972	+	0.0644972i	0.674122	+	0.738620i	$0.264522\pi$
$458$	8.90136e9	+	6.38077e7i	0.202299	+	0.00145014i
$459$	2.54675e10	−	6.14840e10i	0.573767	−	1.38520i
$460$	1.33837e9	−	3.10446e9i	0.0298912	−	0.0693352i
$461$	−4.67871e9	−	1.12954e10i	−0.103591	−	0.250091i	0.863583	−	0.504207i	$-0.168215\pi$
$461$	−4.67871e9	−	1.12954e10i	−0.103591	−	0.250091i	−0.967174	+	0.254117i	$0.918215\pi$
$462$	8.75587e10	+	3.70055e10i	1.92190	+	0.812266i
$463$	6.45781e10			1.40527			0.702637	−	0.711548i	$-0.252006\pi$
$463$	6.45781e10			1.40527			0.702637	+	0.711548i	$0.252006\pi$
$464$	3.37838e9	+	8.86698e9i	0.0728847	+	0.191295i
$465$		−	3.13320e10i		−	0.670156i
$466$	−3.17010e10	−	1.33980e10i	−0.672247	−	0.284116i
$467$	3.23167e10	−	1.33860e10i	0.679453	−	0.281439i	−0.0161450	−	0.999870i	$-0.505139\pi$
$467$	3.23167e10	−	1.33860e10i	0.679453	−	0.281439i	0.695598	+	0.718431i	$0.255139\pi$
$468$	6.55554e10	−	2.60593e10i	1.36655	−	0.543224i
$469$	1.34029e10	+	5.55168e9i	0.277018	+	0.114745i
$470$	−2.72702e10	−	1.95481e8i	−0.558851	−	0.00400602i
$471$	4.37495e9	+	4.37495e9i	0.0888976	+	0.0888976i
$472$	−8.55967e9	−	8.93597e9i	−0.172460	−	0.180042i
$473$	−4.53099e10	−	4.53099e10i	−0.905209	−	0.905209i
$474$	−1.04137e11	+	1.02654e11i	−2.06296	+	2.03359i
$475$	−5.40265e10	−	2.23785e10i	−1.06129	−	0.439599i
$476$	−6.36099e10	−	9.11997e8i	−1.23907	−	0.0177650i
$477$	5.63004e10	−	2.33204e10i	1.08752	−	0.450466i
$478$	3.97013e9	+	9.78249e9i	0.0760489	+	0.187386i
$479$			1.15327e10i			0.219074i	0.993983	+	0.109537i	$0.0349368\pi$
$479$			1.15327e10i			0.219074i	−0.993983	+	0.109537i	$0.965063\pi$
$480$	−3.57947e10	+	1.33450e10i	−0.674301	+	0.251393i
$481$	−5.78505e10			−1.08075
$482$	4.21567e10	−	1.71089e10i	0.781048	−	0.316981i
$483$	−6.38745e9	−	1.54207e10i	−0.117365	−	0.283344i
$484$	2.25135e10	+	3.22784e8i	0.410263	+	0.00588208i
$485$	3.99366e9	−	9.64155e9i	0.0721779	−	0.174253i
$486$	2.67283e10	+	2.71143e10i	0.479100	+	0.486018i
$487$	−3.60845e10	+	3.60845e10i	−0.641512	+	0.641512i	−0.950927	−	0.309415i	$-0.899867\pi$
$487$	−3.60845e10	+	3.60845e10i	−0.641512	+	0.641512i	0.309415	+	0.950927i	$0.399867\pi$
$488$	4.60845e10	+	9.91180e8i	0.812598	+	0.0174772i
$489$	4.18201e10	−	4.18201e10i	0.731390	−	0.731390i
$490$	−2.05943e7	+	2.87297e9i	−0.000357242	+	0.0498364i
$491$	−1.52806e10	+	3.68906e10i	−0.262914	+	0.634731i	−0.999116	−	0.0420309i	$-0.986617\pi$
$491$	−1.52806e10	+	3.68906e10i	−0.262914	+	0.634731i	0.736202	+	0.676762i	$0.236617\pi$
$492$	−1.67068e11	+	6.64120e10i	−2.85123	+	1.13341i
$493$	−5.43034e9	−	1.31100e10i	−0.0919261	−	0.221929i
$494$	−2.72502e10	+	6.44768e10i	−0.457575	+	1.08267i
$495$	−5.45241e10			−0.908172
$496$	−5.63390e10	−	1.61584e9i	−0.930856	−	0.0266975i
$497$		−	1.13167e11i		−	1.85479i
$498$	3.13148e10	−	7.40939e10i	0.509134	−	1.20466i
$499$	−3.92694e10	+	1.62659e10i	−0.633363	+	0.262347i	−0.676181	−	0.736735i	$-0.736366\pi$
$499$	−3.92694e10	+	1.62659e10i	−0.633363	+	0.262347i	0.0428184	+	0.999083i	$0.486366\pi$
$500$	−1.94026e10	+	4.50061e10i	−0.310442	+	0.720098i
$501$	8.05636e10	+	3.33705e10i	1.27876	+	0.529679i
$502$	−7.75962e8	+	1.08249e11i	−0.0122187	+	1.70455i
$503$	−5.08342e9	−	5.08342e9i	−0.0794117	−	0.0794117i	0.666285	−	0.745697i	$-0.267883\pi$
$503$	−5.08342e9	−	5.08342e9i	−0.0794117	−	0.0794117i	−0.745697	+	0.666285i	$0.767883\pi$
$504$	−4.84847e10	+	1.10283e11i	−0.751420	+	1.70918i
$505$	−1.57014e10	−	1.57014e10i	−0.241419	−	0.241419i
$506$	−9.53993e9	−	9.67769e9i	−0.145527	−	0.147628i
$507$	3.12966e10	+	1.29635e10i	0.473659	+	0.196196i
$508$	−6.25818e10	−	6.44024e10i	−0.939709	−	0.967047i
$509$	−3.80199e10	+	1.57484e10i	−0.566422	+	0.234620i	−0.647471	−	0.762090i	$-0.724173\pi$
$509$	−3.80199e10	+	1.57484e10i	−0.566422	+	0.234620i	0.0810485	+	0.996710i	$0.474173\pi$
$510$	5.29357e10	−	2.14834e10i	0.782470	−	0.317558i
$511$		−	1.32103e11i		−	1.93744i
$512$	2.21501e10	+	6.50518e10i	0.322326	+	0.946629i
$513$	1.25050e11			1.80556
$514$	−2.95088e10	−	7.27105e10i	−0.422766	−	1.04170i
$515$	9.44647e9	+	2.28058e10i	0.134289	+	0.324202i
$516$	9.11823e10	−	8.86047e10i	1.28621	−	1.24985i
$517$	−4.19501e10	+	1.01276e11i	−0.587179	+	1.41758i
$518$	7.03554e10	−	6.93539e10i	0.977188	−	0.963279i
$519$	−1.20102e11	+	1.20102e11i	−1.65532	+	1.65532i
$520$	2.40813e10	+	1.05870e10i	0.329356	+	0.144798i
$521$	3.88819e10	−	3.88819e10i	0.527711	−	0.527711i	−0.392178	−	0.919889i	$-0.628278\pi$
$521$	3.88819e10	−	3.88819e10i	0.527711	−	0.527711i	0.919889	+	0.392178i	$0.128278\pi$
$522$	−2.68712e10	−	1.92621e8i	−0.361914	−	0.00259431i
$523$	3.52690e10	−	8.51468e10i	0.471396	−	1.13805i	−0.492150	−	0.870510i	$-0.663789\pi$
$523$	3.52690e10	−	8.51468e10i	0.471396	−	1.13805i	0.963547	−	0.267541i	$-0.0862110\pi$
$524$	1.32484e10	+	5.71153e9i	0.175727	+	0.0757578i
$525$	4.15220e10	+	1.00243e11i	0.546563	+	1.31952i
$526$	8.29140e10	+	3.50425e10i	1.08314	+	0.457775i
$527$	8.42879e10			1.09275
$528$	−4.40234e9	+	1.53495e11i	−0.0566432	+	1.97497i
$529$		−	7.59248e10i		−	0.969530i
$530$	2.09312e10	+	8.84628e9i	0.265271	+	0.112113i
$531$	3.23757e10	−	1.34105e10i	0.407231	−	0.168681i
$532$	−4.41572e10	−	1.11083e11i	−0.551258	−	1.38676i
$533$	1.14376e11	+	4.73763e10i	1.41719	+	0.587019i
$534$	−5.43944e10	−	3.89915e8i	−0.668943	−	0.00479519i
$535$	−4.13767e9	−	4.13767e9i	−0.0505057	−	0.0505057i
$536$	−5.03929e8	+	2.34300e10i	−0.00610534	+	0.283866i
$537$	9.26351e10	+	9.26351e10i	1.11398	+	1.11398i
$538$	−1.90587e10	+	1.87874e10i	−0.227490	+	0.224252i
$539$	1.06697e10	+	4.41953e9i	0.126414	+	0.0523625i
$540$	6.73700e8	−	4.69892e10i	0.00792303	−	0.552615i
$541$	−1.01142e10	+	4.18944e9i	−0.118071	+	0.0489066i	−0.440937	−	0.897538i	$-0.645354\pi$
$541$	−1.01142e10	+	4.18944e9i	−0.118071	+	0.0489066i	0.322866	+	0.946445i	$0.395354\pi$
$542$	4.34723e10	+	1.07117e11i	0.503751	+	1.24125i
$543$			2.04021e11i			2.34679i
$544$	−3.59001e10	−	9.62933e10i	−0.409921	−	1.09951i
$545$	−4.42330e10			−0.501373
$546$	1.20345e11	−	4.88409e10i	1.35412	−	0.549558i
$547$	−1.94986e10	−	4.70737e10i	−0.217798	−	0.525810i	0.776784	−	0.629767i	$-0.216850\pi$
$547$	−1.94986e10	−	4.70737e10i	−0.217798	−	0.525810i	−0.994582	+	0.103957i	$0.966850\pi$
$548$	−8.08025e8	+	5.63580e10i	−0.00895988	+	0.624933i
$549$	−4.99556e10	+	1.20603e11i	−0.549914	+	1.32761i
$550$	6.20148e10	+	6.29103e10i	0.677712	+	0.687498i
$551$	1.88542e10	−	1.88542e10i	0.204551	−	0.204551i
$552$	1.94716e10	−	1.86517e10i	0.209723	−	0.200891i
$553$	−1.21590e11	+	1.21590e11i	−1.30016	+	1.30016i
$554$	5.19694e8	−	7.24989e10i	0.00551707	−	0.769648i
$555$	−3.39507e10	+	8.19642e10i	−0.357830	+	0.863878i
$556$	3.19125e9	+	8.02799e9i	0.0333935	+	0.0840055i
$557$	−6.87173e9	−	1.65898e10i	−0.0713913	−	0.172354i	0.884156	−	0.467192i	$-0.154734\pi$
$557$	−6.87173e9	−	1.65898e10i	−0.0713913	−	0.172354i	−0.955547	+	0.294838i	$0.904734\pi$
$558$	6.21379e10	−	1.47024e11i	0.640944	−	1.51654i
$559$	−8.75506e10			−0.896627
$560$	−4.19789e10	+	1.59942e10i	−0.426853	+	0.162634i
$561$		−	2.29642e11i		−	2.31846i
$562$	1.37511e10	−	3.25363e10i	0.137845	−	0.326155i
$563$	−1.23649e10	+	5.12172e9i	−0.123072	+	0.0509779i	−0.443369	−	0.896339i	$-0.646217\pi$
$563$	−1.23649e10	+	5.12172e9i	−0.123072	+	0.0509779i	0.320298	+	0.947317i	$0.396217\pi$
$564$	−1.99736e11	−	8.61085e10i	−1.97397	−	0.851000i
$565$	6.20408e10	+	2.56982e10i	0.608813	+	0.252179i
$566$	2.49263e8	−	3.47729e10i	0.00242880	−	0.338825i
$567$	−2.76134e10	−	2.76134e10i	−0.267170	−	0.267170i
$568$	1.70363e11	−	6.63117e10i	1.63675	−	0.637084i
$569$	−8.32433e10	−	8.32433e10i	−0.794146	−	0.794146i	0.188020	−	0.982165i	$-0.439793\pi$
$569$	−8.32433e10	−	8.32433e10i	−0.794146	−	0.794146i	−0.982165	+	0.188020i	$0.939793\pi$
$570$	7.53602e10	+	7.64484e10i	0.713908	+	0.724217i
$571$	−1.16759e11	−	4.83632e10i	−1.09836	−	0.454957i	−0.241448	−	0.970414i	$-0.577622\pi$
$571$	−1.16759e11	−	4.83632e10i	−1.09836	−	0.454957i	−0.856915	+	0.515457i	$0.827622\pi$
$572$	7.58347e10	−	7.36909e10i	0.708409	−	0.688382i
$573$	5.19494e9	−	2.15182e9i	0.0481906	−	0.0199612i
$574$	−1.95897e11	+	7.95028e10i	−1.80459	+	0.732377i
$575$		−	1.55113e10i		−	0.141898i
$576$	−1.94432e11	−	8.36748e9i	−1.76635	−	0.0760160i
$577$	−6.04206e10			−0.545107			−0.272553	−	0.962141i	$-0.587868\pi$
$577$	−6.04206e10			−0.545107			−0.272553	+	0.962141i	$0.587868\pi$
$578$	1.58219e10	+	3.89855e10i	0.141758	+	0.349295i
$579$	−8.75776e9	−	2.11431e10i	−0.0779254	−	0.188128i
$580$	−6.98315e9	−	7.18630e9i	−0.0617077	−	0.0635029i
$581$	3.61988e10	−	8.73917e10i	0.317680	−	0.766948i
$582$	5.92763e10	−	5.84326e10i	0.516642	−	0.509287i
$583$	6.45892e10	−	6.45892e10i	0.559095	−	0.559095i
$584$	1.98868e11	−	7.74072e10i	1.70968	−	0.665472i
$585$	−5.26774e10	+	5.26774e10i	−0.449781	+	0.449781i
$586$	−1.86071e11	−	1.33381e9i	−1.57793	−	0.0113111i
$587$	−3.14727e9	+	7.59818e9i	−0.0265083	+	0.0639967i	−0.936579	−	0.350456i	$-0.886027\pi$
$587$	−3.14727e9	+	7.59818e9i	−0.0265083	+	0.0639967i	0.910071	+	0.414452i	$0.136027\pi$
$588$	−9.07170e9	+	2.10426e10i	−0.0758891	+	0.176031i
$589$	6.06094e10	+	1.46324e11i	0.503592	+	1.21578i
$590$	1.20365e10	+	5.08708e9i	0.0993329	+	0.0419817i
$591$	−1.64078e10			−0.134493
$592$	1.45632e11	+	6.52749e10i	1.18568	+	0.531446i
$593$			3.52780e10i			0.285289i	0.989774	+	0.142645i	$0.0455606\pi$
$593$			3.52780e10i			0.285289i	−0.989774	+	0.142645i	$0.954439\pi$
$594$	−1.74000e11	−	7.35388e10i	−1.39767	−	0.590705i
$595$	6.20665e10	−	2.57088e10i	0.495210	−	0.205123i
$596$	−4.26609e10	+	1.69584e10i	−0.338100	+	0.134400i
$597$	−2.52295e11	−	1.04504e11i	−1.98615	−	0.822689i
$598$	−1.85667e10	−	1.33092e8i	−0.145188	−	0.00104075i
$599$	1.01738e10	+	1.01738e10i	0.0790275	+	0.0790275i	0.745516	−	0.666488i	$-0.232203\pi$
$599$	1.01738e10	+	1.01738e10i	0.0790275	+	0.0790275i	−0.666488	+	0.745516i	$0.732203\pi$
$600$	−1.26576e11	+	1.21246e11i	−0.976668	+	0.935541i
$601$	−8.88339e10	−	8.88339e10i	−0.680896	−	0.680896i	0.279306	−	0.960202i	$-0.409896\pi$
$601$	−8.88339e10	−	8.88339e10i	−0.680896	−	0.680896i	−0.960202	+	0.279306i	$0.909896\pi$
$602$	1.06475e11	−	1.04960e11i	0.810706	−	0.799166i
$603$	−6.13164e10	−	2.53981e10i	−0.463775	−	0.192102i
$604$	1.86746e11	+	2.67744e9i	1.40315	+	0.0201174i
$605$	−2.19673e10	+	9.09914e9i	−0.163966	+	0.0679171i
$606$	−6.65998e10	−	1.64104e11i	−0.493836	−	1.21682i
$607$		−	9.14637e10i		−	0.673743i	−0.941551	−	0.336871i	$-0.890631\pi$
$607$		−	9.14637e10i		−	0.673743i	0.941551	−	0.336871i	$-0.109369\pi$
$608$	1.41351e11	−	1.31565e11i	1.03439	−	0.962778i
$609$	−4.94731e10			−0.359666
$610$	−4.51045e10	+	1.83052e10i	−0.325762	+	0.132207i
$611$	5.73170e10	+	1.38375e11i	0.411262	+	0.992874i
$612$	2.91005e11	+	4.17224e9i	2.07441	+	0.0297416i
$613$	9.17553e10	−	2.21517e11i	0.649814	−	1.56879i	−0.163230	−	0.986588i	$-0.552191\pi$
$613$	9.17553e10	−	2.21517e11i	0.649814	−	1.56879i	0.813044	−	0.582202i	$-0.197809\pi$
$614$	1.03196e11	+	1.04686e11i	0.726090	+	0.736575i
$615$	1.34248e11	−	1.34248e11i	0.938442	−	0.938442i
$616$	−3.88290e9	+	1.80534e11i	−0.0269670	+	1.25382i
$617$	−1.06494e11	+	1.06494e11i	−0.734828	+	0.734828i	−0.971572	−	0.236744i	$-0.923920\pi$
$617$	−1.06494e11	+	1.06494e11i	−0.734828	+	0.734828i	0.236744	+	0.971572i	$0.423920\pi$
$618$	−1.41127e9	+	1.96876e11i	−0.00967509	+	1.34970i
$619$	−7.22011e10	+	1.74309e11i	−0.491792	+	1.18729i	0.462016	+	0.886872i	$0.347126\pi$
$619$	−7.22011e10	+	1.74309e11i	−0.491792	+	1.18729i	−0.953807	+	0.300419i	$0.902874\pi$
$620$	5.53099e10	−	2.19866e10i	0.374314	−	0.148796i
$621$	1.26934e10	+	3.06446e10i	0.0853516	+	0.206057i
$622$	5.33724e10	−	1.26284e11i	0.356578	−	0.843700i
$623$	−6.39662e10			−0.424618
$624$	1.44043e11	+	1.52550e11i	0.950068	+	1.00617i
$625$			7.22832e10i			0.473715i
$626$	−5.00227e10	+	1.18359e11i	−0.325739	+	0.770730i
$627$	3.98659e11	−	1.65130e11i	2.57948	−	1.06845i
$628$	−4.65302e9	+	1.07931e10i	−0.0299155	+	0.0693916i
$629$	−2.20496e11	−	9.13326e10i	−1.40864	−	0.583477i
$630$	9.11925e8	−	1.27216e11i	0.00578891	−	0.807570i
$631$	−8.28315e10	−	8.28315e10i	−0.522490	−	0.522490i	0.395832	−	0.918323i	$-0.370456\pi$
$631$	−8.28315e10	−	8.28315e10i	−0.522490	−	0.522490i	−0.918323	+	0.395832i	$0.870456\pi$
$632$	−2.54290e11	−	1.11795e11i	−1.59390	−	0.700738i
$633$	−1.71229e10	−	1.71229e10i	−0.106650	−	0.106650i
$634$	−5.27027e10	−	5.34637e10i	−0.326194	−	0.330904i
$635$	8.76129e10	+	3.62904e10i	0.538856	+	0.223202i
$636$	1.26306e11	+	1.29980e11i	0.771960	+	0.794418i
$637$	1.45781e10	−	6.03846e9i	0.0885410	−	0.0366749i
$638$	−3.73223e10	+	1.51469e10i	−0.225261	+	0.0914200i
$639$			5.17722e11i			3.10523i
$640$	−4.86759e10	−	5.38234e10i	−0.290131	−	0.320812i
$641$	2.89660e11			1.71576			0.857878	−	0.513853i	$-0.171782\pi$
$641$	2.89660e11			1.71576			0.857878	+	0.513853i	$0.171782\pi$
$642$	−1.75506e10	−	4.32450e10i	−0.103312	−	0.254563i
$643$	−2.93596e10	−	7.08804e10i	−0.171754	−	0.414651i	0.814439	−	0.580249i	$-0.197045\pi$
$643$	−2.93596e10	−	7.08804e10i	−0.171754	−	0.414651i	−0.986193	+	0.165598i	$0.947045\pi$
$644$	2.27396e10	−	2.20968e10i	0.132203	−	0.128465i
$645$	−5.13808e10	+	1.24044e11i	−0.296867	+	0.716700i
$646$	−2.05658e11	+	2.02730e11i	−1.18091	+	1.16410i
$647$	9.33756e9	−	9.33756e9i	0.0532864	−	0.0532864i	−0.679961	−	0.733248i	$-0.738004\pi$
$647$	9.33756e9	−	9.33756e9i	0.0532864	−	0.0532864i	0.733248	+	0.679961i	$0.238004\pi$
$648$	2.53891e10	−	5.77499e10i	0.143995	−	0.327530i
$649$	3.71422e10	−	3.71422e10i	0.209358	−	0.209358i
$650$	1.20694e11	+	8.65172e8i	0.676133	+	0.00484673i
$651$	1.12457e11	−	2.71495e11i	0.626128	−	1.51161i
$652$	1.03171e11	+	4.44781e10i	0.570908	+	0.246125i
$653$	7.84780e10	+	1.89463e11i	0.431614	+	1.04201i	0.978767	+	0.204975i	$0.0657114\pi$
$653$	7.84780e10	+	1.89463e11i	0.431614	+	1.04201i	−0.547153	+	0.837032i	$0.684289\pi$
$654$	−3.24963e11	−	1.37341e11i	−1.77633	−	0.750740i
$655$	−1.52353e10			−0.0827727
$656$	−2.34472e11	−	2.48319e11i	−1.26612	−	1.34089i
$657$			6.04349e11i			3.24359i
$658$	−2.35598e11	−	9.95722e10i	−1.25680	−	0.531171i
$659$	3.23590e10	−	1.34035e10i	0.171575	−	0.0710686i	−0.295243	−	0.955422i	$-0.595400\pi$
$659$	3.23590e10	−	1.34035e10i	0.171575	−	0.0710686i	0.466818	+	0.884354i	$0.345400\pi$
$660$	−5.99023e10	−	1.50692e11i	−0.315695	−	0.794170i
$661$	−1.01678e11	−	4.21162e10i	−0.532622	−	0.220619i	0.100129	−	0.994974i	$-0.468074\pi$
$661$	−1.01678e11	−	4.21162e10i	−0.532622	−	0.220619i	−0.632751	+	0.774355i	$0.718074\pi$
$662$	2.64657e11	+	1.89714e9i	1.37800	+	0.00987796i
$663$	−2.21864e11	−	2.21864e11i	−1.14824	−	1.14824i
$664$	1.52771e11	+	3.28579e9i	0.785905	+	0.0169031i
$665$	8.92612e10	+	8.92612e10i	0.456432	+	0.456432i
$666$	−3.21865e11	+	3.17283e11i	−1.63598	+	1.61269i
$667$	6.53422e9	+	2.70656e9i	0.0330134	+	0.0136746i
$668$	−2.37477e9	+	1.65635e11i	−0.0119266	+	0.831852i
$669$	4.63339e11	−	1.91921e11i	2.31310	−	0.958117i
$670$	−9.30663e9	−	2.29317e10i	−0.0461842	−	0.113799i
$671$			1.95669e11i			0.965234i
$672$	−3.58063e11	−	1.28388e10i	−1.75583	−	0.0629576i
$673$	−1.81079e11			−0.882691			−0.441346	−	0.897337i	$-0.645499\pi$
$673$	−1.81079e11			−0.882691			−0.441346	+	0.897337i	$0.645499\pi$
$674$	2.12141e11	−	8.60953e10i	1.02798	−	0.417196i
$675$	−8.25141e10	−	1.99207e11i	−0.397478	−	0.959597i
$676$	−9.22528e8	+	6.43444e10i	−0.00441767	+	0.308123i
$677$	−7.12429e10	+	1.71996e11i	−0.339146	+	0.818771i	0.658652	+	0.752448i	$0.271127\pi$
$677$	−7.12429e10	+	1.71996e11i	−0.339146	+	0.818771i	−0.997798	+	0.0663235i	$0.978873\pi$
$678$	3.75998e11	+	3.81428e11i	1.77937	+	1.80507i
$679$	6.92111e10	−	6.92111e10i	0.325609	−	0.325609i
$680$	7.50709e10	+	7.83711e10i	0.351104	+	0.366539i
$681$	9.71654e10	−	9.71654e10i	0.451776	−	0.451776i
$682$	1.71499e9	−	2.39246e11i	0.00792726	−	1.10588i
$683$	−5.52277e10	+	1.33331e11i	−0.253790	+	0.612703i	−0.998504	−	0.0546809i	$-0.982586\pi$
$683$	−5.52277e10	+	1.33331e11i	−0.253790	+	0.612703i	0.744714	+	0.667384i	$0.232586\pi$
$684$	2.02012e11	+	5.08187e11i	0.922896	+	2.32166i
$685$	−2.27779e10	−	5.49906e10i	−0.103455	−	0.249762i
$686$	8.05550e10	−	1.90601e11i	0.363744	−	0.860654i
$687$	−7.49747e10			−0.336579
$688$	2.20398e11	+	9.87865e10i	0.983680	+	0.440904i
$689$		−	1.24803e11i		−	0.553795i
$690$	−1.10848e10	+	2.62278e10i	−0.0489026	+	0.115708i
$691$	8.92980e10	−	3.69884e10i	0.391678	−	0.162238i	−0.178148	−	0.984004i	$-0.557011\pi$
$691$	8.92980e10	−	3.69884e10i	0.391678	−	0.162238i	0.569826	+	0.821765i	$0.307011\pi$
$692$	−2.96294e11	−	1.27736e11i	−1.29211	−	0.557042i
$693$	−4.72458e11	−	1.95699e11i	−2.04847	−	0.848506i
$694$	2.66333e9	−	3.71542e11i	0.0114812	−	1.60166i
$695$	−6.45093e9	−	6.45093e9i	−0.0276492	−	0.0276492i
$696$	−2.89894e10	−	7.44773e10i	−0.123538	−	0.317385i
$697$	3.61148e11	+	3.61148e11i	1.53022	+	1.53022i
$698$	−1.86349e11	−	1.89039e11i	−0.785063	−	0.796399i
$699$	2.67807e11	+	1.10929e11i	1.12179	+	0.464662i
$700$	−1.47820e11	+	1.43641e11i	−0.615661	+	0.598257i
$701$	−6.77679e10	+	2.80704e10i	−0.280641	+	0.116246i	−0.518565	−	0.855039i	$-0.673533\pi$
$701$	−6.77679e10	+	2.80704e10i	−0.280641	+	0.116246i	0.237923	+	0.971284i	$0.423533\pi$
$702$	−2.39155e11	+	9.70587e10i	−0.984761	+	0.399656i
$703$		−	4.48458e11i		−	1.83612i
$704$	−2.74053e11	+	9.99408e10i	−1.11569	+	0.406867i
$705$	2.29692e11			0.929799
$706$	1.76114e11	+	4.33948e11i	0.708882	+	1.74670i
$707$	−7.96987e10	−	1.92410e11i	−0.318987	−	0.770104i
$708$	7.26325e10	+	7.47455e10i	0.289067	+	0.297476i
$709$	−2.62895e10	+	6.34684e10i	−0.104039	+	0.251173i	−0.967324	−	0.253545i	$-0.918403\pi$
$709$	−2.62895e10	+	6.34684e10i	−0.104039	+	0.251173i	0.863284	+	0.504718i	$0.168403\pi$
$710$	−1.37486e11	+	1.35528e11i	−0.541033	+	0.533331i
$711$	5.56255e11	−	5.56255e11i	2.17669	−	2.17669i
$712$	−3.74818e10	−	9.62953e10i	−0.145848	−	0.374701i
$713$	−2.97058e10	+	2.97058e10i	−0.114943	+	0.114943i
$714$	5.35803e11	+	3.84080e9i	2.06164	+	0.0147784i
$715$	−4.27324e10	+	1.03165e11i	−0.163506	+	0.394738i
$716$	−9.85228e10	+	2.28532e11i	−0.374873	+	0.869551i
$717$	−3.40286e10	−	8.21524e10i	−0.128756	−	0.310845i
$718$	−4.13522e11	−	1.74770e11i	−1.55597	−	0.657610i
$719$	3.83285e11			1.43419			0.717094	−	0.696976i	$-0.245472\pi$
$719$	3.83285e11			1.43419			0.717094	+	0.696976i	$0.245472\pi$
$720$	1.92047e11	−	7.31711e10i	0.714623	−	0.272276i
$721$			2.31520e11i			0.856738i
$722$	−2.49524e11	−	1.05458e11i	−0.918257	−	0.388089i
$723$	−3.54027e11	+	1.46643e11i	−1.29564	+	0.536670i
$724$	−3.60155e11	+	1.43167e11i	−1.31080	+	0.521062i
$725$	−4.24761e10	−	1.75942e10i	−0.153742	−	0.0636820i
$726$	−1.89637e11	−	1.35938e9i	−0.682617	−	0.00489321i
$727$	−3.87178e10	−	3.87178e10i	−0.138603	−	0.138603i	0.634401	−	0.773004i	$-0.281247\pi$
$727$	−3.87178e10	−	3.87178e10i	−0.138603	−	0.138603i	−0.773004	+	0.634401i	$0.781247\pi$
$728$	1.70668e11	+	1.78171e11i	0.607612	+	0.634324i
$729$	−2.98206e11	−	2.98206e11i	−1.05586	−	1.05586i
$730$	−1.60490e11	+	1.58205e11i	−0.565140	+	0.557096i
$731$	−3.33698e11	−	1.38222e11i	−1.16865	−	0.484070i
$732$	−3.88202e11	−	5.56579e9i	−1.35211	−	0.0193857i
$733$	2.75728e11	−	1.14210e11i	0.955135	−	0.395630i	0.149976	−	0.988690i	$-0.452080\pi$
$733$	2.75728e11	−	1.14210e11i	0.955135	−	0.395630i	0.805158	+	0.593060i	$0.202080\pi$
$734$	−7.37765e10	−	1.81787e11i	−0.254176	−	0.626295i
$735$		−	2.41985e10i		−	0.0829162i
$736$	4.65893e10	+	2.12846e10i	0.158772	+	0.0725360i
$737$	−9.94809e10			−0.337186
$738$	8.96197e11	−	3.63713e11i	3.02119	−	1.22612i
$739$	−1.07320e11	−	2.59095e11i	−0.359836	−	0.868721i	−0.995322	−	0.0966092i	$-0.969200\pi$
$739$	−1.07320e11	−	2.59095e11i	−0.359836	−	0.868721i	0.635486	−	0.772112i	$-0.280800\pi$
$740$	−1.68515e11	−	2.41605e9i	−0.561967	−	0.00805711i
$741$	2.25620e11	−	5.44694e11i	0.748349	−	1.80667i
$742$	1.49620e11	+	1.51780e11i	0.493598	+	0.500726i
$743$	−3.42259e11	+	3.42259e11i	−1.12305	+	1.12305i	−0.131771	+	0.991280i	$0.542066\pi$
$743$	−3.42259e11	+	3.42259e11i	−1.12305	+	1.12305i	−0.991280	+	0.131771i	$0.957934\pi$
$744$	4.74607e11	+	1.02078e10i	1.54897	+	0.0333150i
$745$	3.42804e10	−	3.42804e10i	0.111281	−	0.111281i
$746$	−3.64468e8	+	5.08443e10i	−0.00117680	+	0.164168i
$747$	−1.65604e11	+	3.99804e11i	−0.531849	+	1.28400i
$748$	4.05384e11	−	1.61146e11i	1.29497	−	0.514771i
$749$	−2.10024e10	−	5.07043e10i	−0.0667332	−	0.161108i
$750$	1.60699e11	−	3.80231e11i	0.507890	−	1.20172i
$751$	4.43542e10			0.139436			0.0697180	−	0.997567i	$-0.477790\pi$
$751$	4.43542e10			0.139436			0.0697180	+	0.997567i	$0.477790\pi$
$752$	1.18456e10	−	4.13016e11i	0.0370411	−	1.29150i
$753$		−	9.11763e11i		−	2.83597i
$754$	−2.14244e10	+	5.06921e10i	−0.0662861	+	0.156839i
$755$	−1.82215e11	+	7.54759e10i	−0.560785	+	0.232285i
$756$	1.74492e11	−	4.04749e11i	0.534180	−	1.23908i
$757$	3.21468e11	+	1.33156e11i	0.978936	+	0.405489i	0.814031	−	0.580821i	$-0.197268\pi$
$757$	3.21468e11	+	1.33156e11i	0.978936	+	0.405489i	0.164905	+	0.986309i	$0.447268\pi$
$758$	−1.49974e8	+	2.09219e10i	−0.000454298	+	0.0633759i
$759$	8.09334e10	+	8.09334e10i	0.243871	+	0.243871i
$760$	−8.20709e10	+	1.86678e11i	−0.246000	+	0.559551i
$761$	1.11719e11	+	1.11719e11i	0.333110	+	0.333110i	0.853766	−	0.520656i	$-0.174313\pi$
$761$	1.11719e11	+	1.11719e11i	0.333110	+	0.333110i	−0.520656	+	0.853766i	$0.674313\pi$
$762$	5.30977e11	+	5.38645e11i	1.57491	+	1.59765i
$763$	−3.83285e11	−	1.58762e11i	−1.13090	−	0.468433i
$764$	7.44402e9	+	7.66058e9i	0.0218491	+	0.0224847i
$765$	−2.83945e11	+	1.17614e11i	−0.829064	+	0.343410i
$766$	−2.44375e11	+	9.91770e10i	−0.709808	+	0.288069i
$767$		−	7.17684e10i		−	0.207373i
$768$	−1.90484e11	−	5.46555e11i	−0.547537	−	1.57105i
$769$	2.44544e11			0.699281			0.349641	−	0.936884i	$-0.386304\pi$
$769$	2.44544e11			0.699281			0.349641	+	0.936884i	$0.386304\pi$
$770$	−7.17099e10	−	1.76695e11i	−0.203994	−	0.502645i
$771$	2.52925e11	+	6.10615e11i	0.715771	+	1.72802i
$772$	3.11781e10	−	3.02967e10i	0.0877769	−	0.0852955i
$773$	−9.36884e9	+	2.26184e10i	−0.0262402	+	0.0633496i	−0.936457	−	0.350784i	$-0.885915\pi$
$773$	−9.36884e9	+	2.26184e10i	−0.0262402	+	0.0633496i	0.910216	+	0.414133i	$0.135915\pi$
$774$	−4.87108e11	+	4.80174e11i	−1.35726	+	1.33794i
$775$	1.93104e11	−	1.93104e11i	0.535285	−	0.535285i
$776$	1.44746e11	+	6.36359e10i	0.399172	+	0.175491i
$777$	−5.88374e11	+	5.88374e11i	−1.61424	+	1.61424i
$778$	−2.95302e11	−	2.11682e9i	−0.806025	−	0.00577783i
$779$	−3.67261e11	+	8.86648e11i	−0.997299	+	2.40769i
$780$	−2.03461e11	−	8.77144e10i	−0.549671	−	0.236969i
$781$	2.96972e11	+	7.16953e11i	0.798199	+	1.92702i
$782$	−7.05567e10	−	2.98199e10i	−0.188674	−	0.0797405i
$783$	9.83149e10			0.261561
$784$	−4.35121e10	−	1.24795e9i	−0.115172	−	0.00330319i
$785$		−	1.24118e10i		−	0.0326856i
$786$	−1.11928e11	−	4.73049e10i	−0.293257	−	0.123941i
$787$	2.83002e11	−	1.17223e11i	0.737719	−	0.305573i	0.0179994	−	0.999838i	$-0.494270\pi$
$787$	2.83002e11	−	1.17223e11i	0.737719	−	0.305573i	0.719720	+	0.694265i	$0.244270\pi$
$788$	−1.15138e10	−	2.89644e10i	−0.0298617	−	0.0751208i
$789$	−7.00451e11	−	2.90136e11i	−1.80746	−	0.748676i
$790$	2.93334e11	+	2.10271e9i	0.753102	+	0.00539846i
$791$	4.45355e11	+	4.45355e11i	1.13763	+	1.13763i
$792$	1.77637e10	−	8.25915e11i	0.0451473	−	2.09911i
$793$	1.89042e11	+	1.89042e11i	0.478042	+	0.478042i
$794$	3.93278e11	−	3.87680e11i	0.989504	−	0.975419i
$795$	−1.76825e11	−	7.32432e10i	−0.442664	−	0.183357i
$796$	7.43688e9	−	5.18707e11i	0.0185242	−	1.29202i
$797$	−1.16039e11	+	4.80651e10i	−0.287589	+	0.119123i	−0.521814	−	0.853059i	$-0.674745\pi$
$797$	−1.16039e11	+	4.80651e10i	−0.287589	+	0.119123i	0.234225	+	0.972182i	$0.424745\pi$
$798$	3.78616e11	+	9.32918e11i	0.933656	+	2.30055i
$799$			6.17907e11i			1.51613i
$800$	−3.02856e11	−	1.38361e11i	−0.739395	−	0.337797i
$801$	2.92635e11			0.710881
$802$	9.75036e10	−	3.95709e10i	0.235680	−	0.0956485i
$803$	3.46662e11	+	8.36916e11i	0.833765	+	2.01289i
$804$	2.82972e9	−	1.97367e11i	0.00677204	−	0.472335i
$805$	−1.28137e10	+	3.09349e10i	−0.0305134	+	0.0736658i
$806$	−2.29486e11	−	2.32799e11i	−0.543770	−	0.551622i
$807$	1.59385e11	−	1.59385e11i	0.375798	−	0.375798i
$808$	2.42955e11	−	2.32724e11i	0.570007	−	0.546004i
$809$	3.51441e11	−	3.51441e11i	0.820461	−	0.820461i	−0.165713	−	0.986174i	$-0.552993\pi$
$809$	3.51441e11	−	3.51441e11i	0.820461	−	0.820461i	0.986174	+	0.165713i	$0.0529925\pi$
$810$	−4.77530e8	+	6.66169e10i	−0.00110933	+	0.154755i
$811$	2.59080e11	−	6.25474e11i	0.598895	−	1.44586i	−0.275814	−	0.961211i	$-0.588947\pi$
$811$	2.59080e11	−	6.25474e11i	0.598895	−	1.44586i	0.874709	−	0.484649i	$-0.161053\pi$
$812$	−3.47167e10	−	8.73342e10i	−0.0798573	−	0.200891i
$813$	−3.72608e11	−	8.99556e11i	−0.852885	−	2.05905i
$814$	−2.63728e11	+	6.24007e11i	−0.600702	+	1.42132i
$815$	−1.18644e11			−0.268915
$816$	3.08178e11	+	8.08853e11i	0.695091	+	1.82435i
$817$		−	6.78693e11i		−	1.52330i
$818$	1.66153e11	−	3.93133e11i	0.371102	−	0.878065i
$819$	−6.45527e11	+	2.67386e11i	−1.43476	+	0.594296i
$820$	3.31192e11	+	1.42781e11i	0.732528	+	0.315801i
$821$	3.13011e11	+	1.29653e11i	0.688948	+	0.285372i	0.699562	−	0.714572i	$-0.253379\pi$
$821$	3.13011e11	+	1.29653e11i	0.688948	+	0.285372i	−0.0106138	+	0.999944i	$0.503379\pi$
$822$	3.40293e9	−	4.74719e11i	0.00745359	−	1.03980i
$823$	−1.68369e11	−	1.68369e11i	−0.366996	−	0.366996i	0.499384	−	0.866381i	$-0.333560\pi$
$823$	−1.68369e11	−	1.68369e11i	−0.366996	−	0.366996i	−0.866381	+	0.499384i	$0.833560\pi$
$824$	−3.48533e11	+	1.35662e11i	−0.756023	+	0.294273i
$825$	−5.26112e11	−	5.26112e11i	−1.13570	−	1.13570i
$826$	8.60393e10	+	8.72818e10i	0.184832	+	0.187501i
$827$	−5.77608e11	−	2.39253e11i	−1.23484	−	0.511488i	−0.332743	−	0.943018i	$-0.607974\pi$
$827$	−5.77608e11	−	2.39253e11i	−1.23484	−	0.511488i	−0.902099	+	0.431530i	$0.857974\pi$
$828$	−1.04030e11	+	1.01089e11i	−0.221329	+	0.215072i
$829$	−8.34187e11	+	3.45532e11i	−1.76622	+	0.731593i	−0.770686	+	0.637215i	$0.780086\pi$
$829$	−8.34187e11	+	3.45532e11i	−1.76622	+	0.731593i	−0.995536	+	0.0943778i	$0.969914\pi$
$830$	−1.49523e11	+	6.06824e10i	−0.315061	+	0.127865i
$831$			6.10646e11i			1.28052i
$832$	−1.68215e11	+	3.61327e11i	−0.351052	+	0.754061i
$833$	6.50977e10			0.135203
$834$	−2.73627e10	−	6.74223e10i	−0.0565580	−	0.139360i
$835$	−6.69436e10	−	1.61616e11i	−0.137709	−	0.332460i
$836$	5.71253e11	+	5.87872e11i	1.16951	+	1.20353i
$837$	−2.23479e11	+	5.39527e11i	−0.455340	+	1.09929i
$838$	2.82472e11	−	2.78452e11i	0.572796	−	0.564642i
$839$	−2.88384e11	+	2.88384e11i	−0.582001	+	0.582001i	−0.935453	−	0.353452i	$-0.885008\pi$
$839$	−2.88384e11	+	2.88384e11i	−0.582001	+	0.582001i	0.353452	+	0.935453i	$0.385008\pi$
$840$	3.52597e11	−	1.37244e11i	0.708209	−	0.275662i
$841$	−3.38904e11	+	3.38904e11i	−0.677475	+	0.677475i
$842$	4.33262e11	+	3.10575e9i	0.861990	+	0.00617901i
$843$	−1.13852e11	+	2.74864e11i	−0.225441	+	0.544262i
$844$	1.82112e10	−	4.22424e10i	0.0358895	−	0.0832489i
$845$	−2.60057e10	−	6.27832e10i	−0.0510083	−	0.123145i
$846$	1.07782e12	+	4.55527e11i	2.10410	+	0.889269i
$847$	−2.23008e11			−0.433298
$848$	−1.40820e11	+	3.14177e11i	−0.272321	+	0.607562i
$849$			2.92886e11i			0.563726i
$850$	4.58658e11	+	1.93846e11i	0.878644	+	0.371347i
$851$	1.09899e11	−	4.55216e10i	0.209544	−	0.0867959i
$852$	−1.43086e12	+	5.68789e11i	−2.71543	+	1.07943i
$853$	7.51595e11	+	3.11321e11i	1.41967	+	0.588047i	0.954778	−	0.297320i	$-0.0960929\pi$
$853$	7.51595e11	+	3.11321e11i	1.41967	+	0.588047i	0.464893	+	0.885367i	$0.346093\pi$
$854$	−4.56538e11	−	3.27260e9i	−0.858312	−	0.00615264i
$855$	−4.08356e11	−	4.08356e11i	−0.764143	−	0.764143i
$856$	6.40241e10	−	6.13281e10i	0.119247	−	0.114226i
$857$	7.17905e11	+	7.17905e11i	1.33089	+	1.33089i	0.904570	+	0.426324i	$0.140192\pi$
$857$	7.17905e11	+	7.17905e11i	1.33089	+	1.33089i	0.426324	+	0.904570i	$0.359808\pi$
$858$	−6.34261e11	+	6.25232e11i	−1.17036	+	1.15370i
$859$	−1.70476e11	−	7.06134e10i	−0.313105	−	0.129692i	0.220597	−	0.975365i	$-0.429200\pi$
$859$	−1.70476e11	−	7.06134e10i	−0.313105	−	0.129692i	−0.533702	+	0.845673i	$0.679200\pi$
$860$	−2.55029e11	−	3.65644e9i	−0.466225	−	0.00668443i
$861$	1.64512e12	−	6.81431e11i	2.99354	−	1.23996i
$862$	−8.75225e10	−	2.15658e11i	−0.158522	−	0.390603i
$863$		−	9.84241e11i		−	1.77443i	−0.461359	−	0.887213i	$-0.652638\pi$
$863$		−	9.84241e11i		−	1.77443i	0.461359	−	0.887213i	$-0.347362\pi$
$864$	7.11558e11	+	2.55138e10i	1.27690	+	0.0457847i
$865$	3.40731e11			0.608622
$866$	2.32734e11	−	9.44528e10i	0.413798	−	0.167936i
$867$	−1.35612e11	−	3.27396e11i	−0.240006	−	0.579425i
$868$	5.58182e11	+	8.00284e9i	0.983324	+	0.0140983i
$869$	4.51240e11	−	1.08939e12i	0.791276	−	1.91031i
$870$	5.92488e10	+	6.01043e10i	0.103419	+	0.104913i
$871$	−9.61115e10	+	9.61115e10i	−0.166995	+	0.166995i
$872$	1.44109e10	−	6.70029e11i	0.0249244	−	1.15885i
$873$	−3.16630e11	+	3.16630e11i	−0.545124	+	0.545124i
$874$	1.03173e9	−	1.43930e11i	0.00176816	−	0.246663i
$875$	1.85763e11	−	4.48472e11i	0.316904	−	0.765073i
$876$	−1.67028e12	+	6.63960e11i	−2.83643	+	1.12752i
$877$	−2.64356e11	−	6.38211e11i	−0.446879	−	1.07886i	−0.973485	−	0.228752i	$-0.926535\pi$
$877$	−2.64356e11	−	6.38211e11i	−0.446879	−	1.07886i	0.526605	−	0.850110i	$-0.323465\pi$
$878$	1.62920e11	−	3.85484e11i	0.274155	−	0.648677i
$879$	1.56724e12			2.62531
$880$	2.23979e11	−	2.11489e11i	0.373488	−	0.352661i
$881$		−	7.93274e10i		−	0.131680i	−0.997830	−	0.0658399i	$-0.979027\pi$
$881$		−	7.93274e10i		−	0.131680i	0.997830	−	0.0658399i	$-0.0209727\pi$
$882$	4.79907e10	−	1.13551e11i	0.0793018	−	0.187636i
$883$	5.65003e10	−	2.34032e10i	0.0929412	−	0.0384975i	−0.335728	−	0.941959i	$-0.608982\pi$
$883$	5.65003e10	−	2.34032e10i	0.0929412	−	0.0384975i	0.428670	+	0.903461i	$0.358982\pi$
$884$	2.35965e11	−	5.47342e11i	0.386402	−	0.896292i
$885$	−1.01683e11	−	4.21187e10i	−0.165759	−	0.0686597i
$886$	−5.58787e8	+	7.79524e10i	−0.000906799	+	0.126501i
$887$	−2.42653e11	−	2.42653e11i	−0.392005	−	0.392005i	0.483397	−	0.875401i	$-0.339403\pi$
$887$	−2.42653e11	−	2.42653e11i	−0.392005	−	0.392005i	−0.875401	+	0.483397i	$0.839403\pi$
$888$	−1.23051e12	−	5.40978e11i	−1.97894	−	0.870018i
$889$	6.28922e11	+	6.28922e11i	1.00691	+	1.00691i
$890$	7.66056e10	+	7.77118e10i	0.122096	+	0.123859i
$891$	2.47403e11	+	1.02478e11i	0.392550	+	0.162599i
$892$	6.63934e11	+	6.83249e11i	1.04873	+	1.07924i
$893$	−1.07269e12	+	4.44322e11i	−1.68682	+	0.698702i
$894$	3.58283e11	−	1.45406e11i	0.560888	−	0.227631i
$895$		−	2.62807e11i		−	0.409585i
$896$	−2.28599e11	−	6.41094e11i	−0.354685	−	0.994695i
$897$	1.56384e11			0.241559
$898$	7.66107e10	+	1.88771e11i	0.117810	+	0.290288i
$899$	4.76516e10	+	1.15041e11i	0.0729523	+	0.176122i
$900$	6.76255e11	−	6.57137e11i	1.03072	−	1.00158i
$901$	1.97035e11	−	4.75686e11i	0.298982	−	0.721807i
$902$	1.03244e12	−	1.01775e12i	1.55970	−	1.53749i
$903$	−8.90441e11	+	8.90441e11i	−1.33923	+	1.33923i
$904$	−4.09481e11	+	9.31404e11i	−0.613140	+	1.39465i
$905$	2.89404e11	−	2.89404e11i	0.431430	−	0.431430i
$906$	−1.57301e12	−	1.12758e10i	−2.33463	−	0.0167354i
$907$	4.13785e11	−	9.98966e11i	0.611429	−	1.47612i	−0.250003	−	0.968245i	$-0.580432\pi$
$907$	4.13785e11	−	9.98966e11i	0.611429	−	1.47612i	0.861431	−	0.507874i	$-0.169568\pi$
$908$	2.39709e11	+	1.03341e11i	0.352647	+	0.152030i
$909$	3.64609e11	+	8.80244e11i	0.534038	+	1.28928i
$910$	−2.39991e11	−	1.01429e11i	−0.349970	−	0.147910i
$911$	−7.39353e11			−1.07344			−0.536721	−	0.843760i	$-0.680337\pi$
$911$	−7.39353e11			−1.07344			−0.536721	+	0.843760i	$0.680337\pi$
$912$	−1.18257e12	+	1.11663e12i	−1.70941	+	1.61409i
$913$			6.48649e11i			0.933527i
$914$	5.86346e10	+	2.47811e10i	0.0840173	+	0.0355088i
$915$	3.78783e11	−	1.56897e11i	0.540389	−	0.223836i
$916$	−5.26119e10	−	1.32352e11i	−0.0747312	−	0.187996i
$917$	−1.32016e11	−	5.46829e10i	−0.186702	−	0.0773346i
$918$	−1.06477e12	−	7.63259e9i	−1.49929	−	0.0107473i
$919$	1.09228e11	+	1.09228e11i	0.153135	+	0.153135i	0.779516	−	0.626382i	$-0.215465\pi$
$919$	1.09228e11	+	1.09228e11i	0.153135	+	0.153135i	−0.626382	+	0.779516i	$0.715465\pi$
$920$	−5.40781e10	−	1.16310e9i	−0.0754866	−	0.00162355i
$921$	−8.75480e11	−	8.75480e11i	−1.21677	−	1.21677i
$922$	−1.39310e11	+	1.37327e11i	−0.192778	+	0.190034i
$923$	9.79584e11	+	4.05757e11i	1.34969	+	0.559061i
$924$	2.18037e10	−	1.52076e12i	0.0299118	−	2.08629i
$925$	−7.14404e11	+	2.95916e11i	−0.975836	+	0.404204i
$926$	−3.88554e11	−	9.57407e11i	−0.528455	−	1.30213i
$927$		−	1.05917e12i		−	1.43432i
$928$	1.11131e11	−	1.03437e11i	0.149845	−	0.139472i
$929$	−1.41613e12			−1.90126			−0.950628	−	0.310332i	$-0.899560\pi$
$929$	−1.41613e12			−1.90126			−0.950628	+	0.310332i	$0.899560\pi$
$930$	−4.64515e11	+	1.88519e11i	−0.620966	+	0.252013i
$931$	4.68103e10	+	1.13010e11i	0.0623078	+	0.150424i
$932$	−7.89412e9	+	5.50599e11i	−0.0104626	+	0.729745i
$933$	−4.41899e11	+	1.06684e12i	−0.583172	+	1.40790i
$934$	−3.92899e11	−	3.98573e11i	−0.516290	−	0.523745i
$935$	−3.25748e11	+	3.25748e11i	−0.426222	+	0.426222i
$936$	−7.80779e11	−	8.15103e11i	−1.01724	−	1.06196i
$937$	6.12166e10	−	6.12166e10i	0.0794165	−	0.0794165i	−0.666283	−	0.745699i	$-0.732116\pi$
$937$	6.12166e10	−	6.12166e10i	0.0794165	−	0.0794165i	0.745699	+	0.666283i	$0.232116\pi$
$938$	1.66383e9	−	2.32110e11i	0.00214931	−	0.299835i
$939$	4.14165e11	−	9.99883e11i	0.532735	−	1.28614i
$940$	1.61181e11	+	4.05472e11i	0.206445	+	0.519337i
$941$	−3.91333e11	−	9.44762e11i	−0.499101	−	1.20494i	−0.949969	−	0.312345i	$-0.898885\pi$
$941$	−3.91333e11	−	9.44762e11i	−0.499101	−	1.20494i	0.450868	−	0.892591i	$-0.351115\pi$
$942$	3.85379e10	−	9.11845e10i	0.0489424	−	0.115802i
$943$	−2.54561e11			−0.321918
$944$	−8.09789e10	+	1.80668e11i	−0.101973	+	0.227507i
$945$			4.65452e11i			0.583643i
$946$	−3.99124e11	+	9.44367e11i	−0.498361	+	1.17917i
$947$	1.20190e12	−	4.97843e11i	1.49441	−	0.619003i	0.522135	−	0.852863i	$-0.325136\pi$
$947$	1.20190e12	−	4.97843e11i	1.49441	−	0.619003i	0.972270	+	0.233860i	$0.0751356\pi$
$948$	2.14848e12	+	9.26233e11i	2.66010	+	1.14680i
$949$	1.14349e12	+	4.73649e11i	1.40983	+	0.583972i
$950$	−6.70682e9	+	9.35622e11i	−0.00823422	+	1.14870i
$951$	4.47111e11	+	4.47111e11i	0.546629	+	0.546629i
$952$	3.69208e11	+	9.48541e11i	0.449494	+	1.15480i
$953$	3.36280e11	+	3.36280e11i	0.407690	+	0.407690i	0.880932	−	0.473242i	$-0.156916\pi$
$953$	3.36280e11	+	3.36280e11i	0.407690	+	0.407690i	−0.473242	+	0.880932i	$0.656916\pi$
$954$	−6.84488e11	−	6.94372e11i	−0.826366	−	0.838298i
$955$	−1.04214e10	−	4.31669e9i	−0.0125289	−	0.00518965i
$956$	1.21144e11	−	1.17719e11i	0.145034	−	0.140934i
$957$	3.13429e11	−	1.29827e11i	0.373673	−	0.154780i
$958$	1.70979e11	−	6.93903e10i	0.202993	−	0.0823829i
$959$		−	5.58255e11i		−	0.660022i
$960$	4.13217e11	+	4.50383e11i	0.486512	+	0.530270i
$961$	1.13258e11			0.132794
$962$	3.48076e11	+	8.57667e11i	0.406419	+	1.00143i
$963$	9.60828e10	+	2.31964e11i	0.111722	+	0.269722i
$964$	−5.07298e11	−	5.22056e11i	−0.587428	−	0.604518i
$965$	−1.75687e10	+	4.24145e10i	−0.0202596	+	0.0489109i
$966$	−1.90188e11	+	1.87481e11i	−0.218411	+	0.215302i
$967$	−8.95436e11	+	8.95436e11i	−1.02407	+	1.02407i	−0.0243644	+	0.999703i	$0.507756\pi$
$967$	−8.95436e11	+	8.95436e11i	−1.02407	+	1.02407i	−0.999703	+	0.0243644i	$0.992244\pi$
$968$	−1.30674e11	−	3.35718e11i	−0.148829	−	0.382361i
$969$	1.71989e12	−	1.71989e12i	1.95077	−	1.95077i
$970$	−1.66971e11	−	1.19690e9i	−0.188605	−	0.00135198i
$971$	−1.52731e11	+	3.68726e11i	−0.171811	+	0.414788i	−0.986206	−	0.165523i	$-0.947069\pi$
$971$	−1.52731e11	+	3.68726e11i	−0.171811	+	0.414788i	0.814395	+	0.580311i	$0.197069\pi$
$972$	2.41165e11	−	5.59404e11i	0.270178	−	0.626701i
$973$	−3.27444e10	−	7.90519e10i	−0.0365330	−	0.0881984i
$974$	7.52088e11	+	3.17860e11i	0.835666	+	0.353183i
$975$	−1.01659e12			−1.12493
$976$	−2.62587e11	−	6.89194e11i	−0.289384	−	0.759525i
$977$			3.38313e11i			0.371313i	0.982615	+	0.185656i	$0.0594411\pi$
$977$			3.38313e11i			0.371313i	−0.982615	+	0.185656i	$0.940559\pi$
$978$	−8.71631e11	−	3.68383e11i	−0.952746	−	0.402665i
$979$	4.05248e11	−	1.67859e11i	0.441154	−	0.182732i
$980$	4.27173e10	−	1.69808e10i	0.0463127	−	0.0184100i
$981$	1.75347e12	+	7.26310e11i	1.89331	+	0.784235i
$982$	6.38865e11	+	4.57958e9i	0.687010	+	0.00492470i
$983$	−2.54241e11	−	2.54241e11i	−0.272290	−	0.272290i	0.557732	−	0.830021i	$-0.311672\pi$
$983$	−2.54241e11	−	2.54241e11i	−0.272290	−	0.272290i	−0.830021	+	0.557732i	$0.811672\pi$
$984$	1.98981e12	+	2.07729e12i	2.12242	+	2.21573i
$985$	2.32745e10	+	2.32745e10i	0.0247250	+	0.0247250i
$986$	−1.61690e11	+	1.59388e11i	−0.171071	+	0.168635i
$987$	1.99031e12	+	8.24413e11i	2.09726	+	0.868712i
$988$	1.11987e12	+	1.60559e10i	1.17527	+	0.0168503i
$989$	1.66320e11	−	6.88921e10i	0.173844	−	0.0720086i
$990$	3.28062e11	+	8.08352e11i	0.341519	+	0.841511i
$991$			2.05608e11i			0.213179i	0.994303	+	0.106590i	$0.0339931\pi$
$991$			2.05608e11i			0.213179i	−0.994303	+	0.106590i	$0.966007\pi$
$992$	3.15026e11	+	8.44981e11i	0.325312	+	0.872570i
$993$	−2.22916e12			−2.29268
$994$	−1.67777e12	+	6.80906e11i	−1.71865	+	0.697496i
$995$	2.09642e11	+	5.06122e11i	0.213888	+	0.516372i
$996$	−1.28690e12	−	1.84507e10i	−1.30770	−	0.0187489i
$997$	−2.68771e11	+	6.48871e11i	−0.272021	+	0.656716i	−0.999569	−	0.0293399i	$-0.990659\pi$
$997$	−2.68771e11	+	6.48871e11i	−0.272021	+	0.656716i	0.727549	+	0.686056i	$0.240659\pi$
$998$	4.77429e11	+	4.84323e11i	0.481268	+	0.488217i
$999$	1.16924e12	−	1.16924e12i	1.17393	−	1.17393i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	32.9.h.a.11.12	yes	124
32.3	odd	8	inner	32.9.h.a.3.12	✓	124

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
32.9.h.a.3.12	✓	124	32.3	odd	8	inner
32.9.h.a.11.12	yes	124	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 32 = 2^{5} \)
Weight:	\( k \)	\(=\)	\( 9 \)
Character orbit:	\([\chi]\)	\(=\)	32.h (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-6.01682 - 14.8256i) q^{2} +(51.5711 + 124.504i) q^{3} +(-183.596 + 178.406i) q^{4} +(103.455 - 249.763i) q^{5} +(1535.55 - 1513.69i) q^{6} +(1792.90 - 1792.90i) q^{7} +(3749.63 + 1648.48i) q^{8} +(-8202.26 + 8202.26i) q^{9} +O(q^{10})\)	\(q+(-6.01682 - 14.8256i) q^{2} +(51.5711 + 124.504i) q^{3} +(-183.596 + 178.406i) q^{4} +(103.455 - 249.763i) q^{5} +(1535.55 - 1513.69i) q^{6} +(1792.90 - 1792.90i) q^{7} +(3749.63 + 1648.48i) q^{8} +(-8202.26 + 8202.26i) q^{9} +(-4325.35 - 31.0055i) q^{10} +(-6653.76 + 16063.6i) q^{11} +(-31680.4 - 13657.8i) q^{12} +(9091.12 + 21947.9i) q^{13} +(-37368.4 - 15793.3i) q^{14} +36431.7 q^{15} +(1878.84 - 65509.1i) q^{16} +98007.0i q^{17} +(170955. + 72251.8i) q^{18} +(-170141. + 70474.5i) q^{19} +(25565.2 + 64312.5i) q^{20} +(315685. + 130761. i) q^{21} +(278186. + 1994.13i) q^{22} +(-34540.9 - 34540.9i) q^{23} +(-11869.3 + 551857. i) q^{24} +(224535. + 224535. i) q^{25} +(270691. - 266838. i) q^{26} +(-627343. - 259854. i) q^{27} +(-9305.43 + 649034. i) q^{28} +(-133766. + 55407.6i) q^{29} +(-219203. - 540122. i) q^{30} -860019. i q^{31} +(-982515. + 366301. i) q^{32} -2.34312e6 q^{33} +(1.45301e6 - 589690. i) q^{34} +(-262316. - 633287. i) q^{35} +(42570.9 - 2.96923e6i) q^{36} +(-931899. + 2.24980e6i) q^{37} +(2.06853e6 + 2.09840e6i) q^{38} +(-2.26376e6 + 2.26376e6i) q^{39} +(799649. - 765975. i) q^{40} +(3.68492e6 - 3.68492e6i) q^{41} +(39189.0 - 5.46699e6i) q^{42} +(-1.41033e6 + 3.40484e6i) q^{43} +(-1.64423e6 - 4.13628e6i) q^{44} +(1.20005e6 + 2.89719e6i) q^{45} +(-304263. + 719915. i) q^{46} +6.30472e6 q^{47} +(8.25301e6 - 3.14445e6i) q^{48} -664215. i q^{49} +(1.97788e6 - 4.67985e6i) q^{50} +(-1.22022e7 + 5.05433e6i) q^{51} +(-5.58472e6 - 2.40764e6i) q^{52} +(-4.85359e6 - 2.01042e6i) q^{53} +(-77878.0 + 1.08642e7i) q^{54} +(3.32373e6 + 3.32373e6i) q^{55} +(9.67830e6 - 3.76716e6i) q^{56} +(-1.75487e7 - 1.75487e7i) q^{57} +(1.62630e6 + 1.64978e6i) q^{58} +(-2.79107e6 - 1.15610e6i) q^{59} +(-6.68871e6 + 6.49963e6i) q^{60} +(1.03971e7 - 4.30661e6i) q^{61} +(-1.27503e7 + 5.17458e6i) q^{62} +2.94117e7i q^{63} +(1.13422e7 + 1.23624e7i) q^{64} +6.42230e6 q^{65} +(1.40981e7 + 3.47381e7i) q^{66} +(2.18954e6 + 5.28601e6i) q^{67} +(-1.74850e7 - 1.79937e7i) q^{68} +(2.51916e6 - 6.08178e6i) q^{69} +(-7.81054e6 + 7.69936e6i) q^{70} +(3.15597e7 - 3.15597e7i) q^{71} +(-4.42767e7 + 1.72342e7i) q^{72} +(3.68404e7 - 3.68404e7i) q^{73} +(3.89617e7 + 279289. i) q^{74} +(-1.63759e7 + 3.95350e7i) q^{75} +(1.86640e7 - 4.32929e7i) q^{76} +(1.68709e7 + 4.07300e7i) q^{77} +(4.71821e7 + 1.99409e7i) q^{78} -6.78173e7 q^{79} +(-1.61674e7 - 7.24652e6i) q^{80} -1.54015e7i q^{81} +(-7.68026e7 - 3.24596e7i) q^{82} +(3.44666e7 - 1.42765e7i) q^{83} +(-8.12870e7 + 3.23129e7i) q^{84} +(2.44785e7 + 1.01393e7i) q^{85} +(5.89644e7 + 422675. i) q^{86} +(-1.37969e7 - 1.37969e7i) q^{87} +(-5.14296e7 + 4.92639e7i) q^{88} +(-1.78387e7 - 1.78387e7i) q^{89} +(3.57320e7 - 3.52234e7i) q^{90} +(5.56500e7 + 2.30510e7i) q^{91} +(1.25039e7 + 179272. i) q^{92} +(1.07076e8 - 4.43521e7i) q^{93} +(-3.79344e7 - 9.34712e7i) q^{94} +4.97858e7i q^{95} +(-9.62752e7 - 1.03436e8i) q^{96} +3.86028e7 q^{97} +(-9.84738e6 + 3.99646e6i) q^{98} +(-7.71819e7 - 1.86334e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9}+O(q^{10}) \) 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9	\( 124 q - 4 q^{2} - 4 q^{3} - 4 q^{4} - 4 q^{5} - 4 q^{6} - 4 q^{7} - 4 q^{8} - 4 q^{9} + 34996 q^{10} - 4 q^{11} - 45364 q^{12} - 4 q^{13} + 145580 q^{14} - 8 q^{15} - 278384 q^{16} - 131224 q^{18} - 4 q^{19} + 689996 q^{20} - 4 q^{21} + 6048 q^{22} + 845564 q^{23} - 310832 q^{24} - 4 q^{25} + 1682096 q^{26} - 51076 q^{27} - 1807624 q^{28} - 4 q^{29} - 3968188 q^{30} + 2420456 q^{32} - 8 q^{33} + 4139280 q^{34} - 2415748 q^{35} - 2364816 q^{36} - 4 q^{37} - 4553644 q^{38} + 7650044 q^{39} - 14971800 q^{40} - 4 q^{41} + 17019656 q^{42} - 1859716 q^{43} + 13377860 q^{44} - 26248 q^{45} + 11790684 q^{46} - 8 q^{47} - 21819984 q^{48} - 49149676 q^{50} - 27697792 q^{51} - 33503196 q^{52} - 5358724 q^{53} + 82403296 q^{54} + 46326780 q^{55} + 87708200 q^{56} - 4 q^{57} - 37235424 q^{58} - 44938756 q^{59} - 167711176 q^{60} + 48952060 q^{61} + 23721528 q^{62} + 27135128 q^{64} - 8 q^{65} + 226680332 q^{66} + 93380476 q^{67} - 491760 q^{68} - 17273092 q^{69} - 167238952 q^{70} - 79832068 q^{71} - 184202092 q^{72} - 4 q^{73} + 28015148 q^{74} - 27399560 q^{75} + 201789948 q^{76} - 94964356 q^{77} + 473461108 q^{78} + 144406520 q^{79} - 447998920 q^{80} - 231632004 q^{82} - 140384644 q^{83} + 263072 q^{84} + 1562496 q^{85} + 268005440 q^{86} - 149712644 q^{87} + 220344096 q^{88} - 4 q^{89} + 51924392 q^{90} + 350400764 q^{91} - 622977496 q^{92} + 26240 q^{93} - 100742552 q^{94} + 101686144 q^{96} - 8 q^{97} + 721239576 q^{98} - 630043272 q^{99}+O(q^{100}) \) 124 * q - 4 * q^2 - 4 * q^3 - 4 * q^4 - 4 * q^5 - 4 * q^6 - 4 * q^7 - 4 * q^8 - 4 * q^9 + 34996 * q^10 - 4 * q^11 - 45364 * q^12 - 4 * q^13 + 145580 * q^14 - 8 * q^15 - 278384 * q^16 - 131224 * q^18 - 4 * q^19 + 689996 * q^20 - 4 * q^21 + 6048 * q^22 + 845564 * q^23 - 310832 * q^24 - 4 * q^25 + 1682096 * q^26 - 51076 * q^27 - 1807624 * q^28 - 4 * q^29 - 3968188 * q^30 + 2420456 * q^32 - 8 * q^33 + 4139280 * q^34 - 2415748 * q^35 - 2364816 * q^36 - 4 * q^37 - 4553644 * q^38 + 7650044 * q^39 - 14971800 * q^40 - 4 * q^41 + 17019656 * q^42 - 1859716 * q^43 + 13377860 * q^44 - 26248 * q^45 + 11790684 * q^46 - 8 * q^47 - 21819984 * q^48 - 49149676 * q^50 - 27697792 * q^51 - 33503196 * q^52 - 5358724 * q^53 + 82403296 * q^54 + 46326780 * q^55 + 87708200 * q^56 - 4 * q^57 - 37235424 * q^58 - 44938756 * q^59 - 167711176 * q^60 + 48952060 * q^61 + 23721528 * q^62 + 27135128 * q^64 - 8 * q^65 + 226680332 * q^66 + 93380476 * q^67 - 491760 * q^68 - 17273092 * q^69 - 167238952 * q^70 - 79832068 * q^71 - 184202092 * q^72 - 4 * q^73 + 28015148 * q^74 - 27399560 * q^75 + 201789948 * q^76 - 94964356 * q^77 + 473461108 * q^78 + 144406520 * q^79 - 447998920 * q^80 - 231632004 * q^82 - 140384644 * q^83 + 263072 * q^84 + 1562496 * q^85 + 268005440 * q^86 - 149712644 * q^87 + 220344096 * q^88 - 4 * q^89 + 51924392 * q^90 + 350400764 * q^91 - 622977496 * q^92 + 26240 * q^93 - 100742552 * q^94 + 101686144 * q^96 - 8 * q^97 + 721239576 * q^98 - 630043272 * q^99

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