LMFDB - Embedded newform 37.10.h.a.3.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [37,10,Mod(3,37)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(37, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([13]))

N = Newforms(chi, 10, names="a")

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

chi := DirichletCharacter("37.3");

S:= CuspForms(chi, 10);

N := Newforms(S);

Level:	$ N $	$=$	$ 37 $
Weight:	$ k $	$=$	$ 10 $
Character orbit:	$[\chi]$	$=$	37.h (of order $18$, degree $6$, 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:	$19.0563259381$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			3.4
Character	$\chi$	$=$	37.3
Dual form			37.10.h.a.25.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-22.9919 + 27.4007i) q^{2} +(183.862 - 154.278i) q^{3} +(-133.262 - 755.768i) q^{4} +(816.313 - 2242.80i) q^{5} +8585.09i q^{6} +(8119.51 + 2955.26i) q^{7} +(7912.34 + 4568.19i) q^{8} +(6585.41 - 37347.7i) q^{9} +O(q^{10})$	\(q+(-22.9919 + 27.4007i) q^{2} +(183.862 - 154.278i) q^{3} +(-133.262 - 755.768i) q^{4} +(816.313 - 2242.80i) q^{5} +8585.09i q^{6} +(8119.51 + 2955.26i) q^{7} +(7912.34 + 4568.19i) q^{8} +(6585.41 - 37347.7i) q^{9} +(42685.7 + 73933.9i) q^{10} +(13174.0 - 22818.1i) q^{11} +(-141100. - 118397. i) q^{12} +(-42902.3 + 7564.84i) q^{13} +(-267659. + 154533. i) q^{14} +(-195927. - 538305. i) q^{15} +(62134.8 - 22615.2i) q^{16} +(-645007. - 113732. i) q^{17} +(871942. + 1.03914e6i) q^{18} +(315695. + 376231. i) q^{19} +(-1.80382e6 - 318062. i) q^{20} +(1.94880e6 - 709304. i) q^{21} +(322335. + 885608. i) q^{22} +(395014. - 228061. i) q^{23} +(2.15955e6 - 380787. i) q^{24} +(-2.86761e6 - 2.40621e6i) q^{25} +(779125. - 1.34948e6i) q^{26} +(-2.18903e6 - 3.79152e6i) q^{27} +(1.15147e6 - 6.53029e6i) q^{28} +(3.14478e6 + 1.81564e6i) q^{29} +(1.92547e7 + 7.00812e6i) q^{30} +1.05405e6i q^{31} +(-2.40884e6 + 6.61823e6i) q^{32} +(-1.09813e6 - 6.22783e6i) q^{33} +(1.79463e7 - 1.50587e7i) q^{34} +(1.32561e7 - 1.57980e7i) q^{35} -2.91038e7 q^{36} +(-2.92622e6 + 1.10181e7i) q^{37} -1.75674e7 q^{38} +(-6.72100e6 + 8.00978e6i) q^{39} +(1.67045e7 - 1.40167e7i) q^{40} +(1.98270e6 + 1.12445e7i) q^{41} +(-2.53712e7 + 6.97067e7i) q^{42} -1.08340e7i q^{43} +(-1.90008e7 - 6.91571e6i) q^{44} +(-7.83878e7 - 4.52572e7i) q^{45} +(-2.83309e6 + 1.60672e7i) q^{46} +(-2.14926e7 - 3.72263e7i) q^{47} +(7.93517e6 - 1.37441e7i) q^{48} +(2.62802e7 + 2.20517e7i) q^{49} +(1.31864e8 - 2.32512e7i) q^{50} +(-1.36138e8 + 7.85995e7i) q^{51} +(1.14345e7 + 3.14161e7i) q^{52} +(8.62586e7 - 3.13956e7i) q^{53} +(1.54220e8 + 2.71932e7i) q^{54} +(-4.04223e7 - 4.81734e7i) q^{55} +(5.07441e7 + 6.04745e7i) q^{56} +(1.16088e8 + 2.04695e7i) q^{57} +(-1.22054e8 + 4.44241e7i) q^{58} +(-2.88522e7 - 7.92708e7i) q^{59} +(-3.80724e8 + 2.19811e8i) q^{60} +(9.88101e7 - 1.74229e7i) q^{61} +(-2.88816e7 - 2.42345e7i) q^{62} +(1.63842e8 - 2.83783e8i) q^{63} +(-1.09033e8 - 1.88851e8i) q^{64} +(-1.80553e7 + 1.02397e8i) q^{65} +(1.95895e8 + 1.13100e8i) q^{66} +(-1.56130e8 - 5.68268e7i) q^{67} +5.02632e8i q^{68} +(3.74430e7 - 1.02874e8i) q^{69} +(1.28093e8 + 7.26454e8i) q^{70} +(7.22710e7 - 6.06425e7i) q^{71} +(2.22718e8 - 2.65425e8i) q^{72} +3.21297e8 q^{73} +(-2.34625e8 - 3.33508e8i) q^{74} -8.98470e8 q^{75} +(2.42273e8 - 2.88730e8i) q^{76} +(1.74400e8 - 1.46339e8i) q^{77} +(-6.49448e7 - 3.68320e8i) q^{78} +(-3.85714e7 + 1.05974e8i) q^{79} -1.57817e8i q^{80} +(-2.85989e8 - 1.04092e8i) q^{81} +(-3.53693e8 - 2.04205e8i) q^{82} +(-8.45284e7 + 4.79384e8i) q^{83} +(-7.95771e8 - 1.37832e9i) q^{84} +(-7.81606e8 + 1.35378e9i) q^{85} +(2.96858e8 + 2.49094e8i) q^{86} +(8.58318e8 - 1.51345e8i) q^{87} +(2.08475e8 - 1.20363e8i) q^{88} +(-1.25976e7 - 3.46117e7i) q^{89} +(3.04236e9 - 1.10733e9i) q^{90} +(-3.70702e8 - 6.53647e7i) q^{91} +(-2.25002e8 - 2.68147e8i) q^{92} +(1.62616e8 + 1.93798e8i) q^{93} +(1.51418e9 + 2.66991e8i) q^{94} +(1.10152e9 - 4.00919e8i) q^{95} +(5.78155e8 + 1.58847e9i) q^{96} +(-1.29775e9 + 7.49259e8i) q^{97} +(-1.20846e9 + 2.13085e8i) q^{98} +(-7.65446e8 - 6.42286e8i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q + 45 q^{2} + 216 q^{3} + 249 q^{4} + 177 q^{5} - 5820 q^{7} - 74520 q^{8} - 30198 q^{9}+O(q^{10}) $ 168 * q + 45 * q^2 + 216 * q^3 + 249 * q^4 + 177 * q^5 - 5820 * q^7 - 74520 * q^8 - 30198 * q^9	\( 168 q + 45 q^{2} + 216 q^{3} + 249 q^{4} + 177 q^{5} - 5820 q^{7} - 74520 q^{8} - 30198 q^{9} - 60003 q^{10} + 175689 q^{11} - 307257 q^{12} - 713598 q^{13} + 290583 q^{14} - 385260 q^{15} + 292473 q^{16} + 951645 q^{17} - 2634174 q^{18} + 87108 q^{19} - 6701172 q^{20} + 1892136 q^{21} - 1410435 q^{22} - 9 q^{23} + 6919605 q^{24} - 1830519 q^{25} - 12361155 q^{26} + 12227553 q^{27} - 14971305 q^{28} - 8346069 q^{29} + 32076480 q^{30} + 25901316 q^{32} + 29661003 q^{33} + 17761257 q^{34} - 25104648 q^{35} - 302330892 q^{36} - 89711496 q^{37} + 137852370 q^{38} + 3073230 q^{39} + 72127485 q^{40} + 40690731 q^{41} + 229015377 q^{42} + 187195086 q^{44} - 293199021 q^{45} - 286926930 q^{46} - 134086527 q^{47} + 86156133 q^{48} + 67568640 q^{49} + 134153859 q^{50} - 528106959 q^{51} + 402280539 q^{52} + 147470676 q^{53} + 422122437 q^{54} - 55011861 q^{55} - 616228263 q^{56} - 449072832 q^{57} + 529606191 q^{58} + 773443290 q^{59} + 1433547972 q^{60} + 469275144 q^{61} - 914552304 q^{62} - 673379979 q^{63} + 1146585192 q^{64} - 243884745 q^{65} + 1805055381 q^{66} + 214516206 q^{67} + 722409993 q^{69} - 2605801512 q^{70} - 1455384636 q^{71} - 4689293691 q^{72} + 930909090 q^{73} - 1261741251 q^{74} + 3013150476 q^{75} + 195486513 q^{76} + 1827454371 q^{77} + 1710012453 q^{78} + 1230271476 q^{79} + 2262925611 q^{81} - 3346032141 q^{82} - 2122951164 q^{83} - 6124511730 q^{84} - 39169146 q^{85} - 2603533938 q^{86} + 1185003879 q^{87} - 261497646 q^{88} + 1603969074 q^{89} + 7288796094 q^{90} - 4883515182 q^{91} - 7533267018 q^{92} + 1209552852 q^{93} + 1712695200 q^{94} + 2036912394 q^{95} + 7661250639 q^{96} - 7583351877 q^{97} - 10074558573 q^{98} - 7520510685 q^{99}+O(q^{100}) \) 168 * q + 45 * q^2 + 216 * q^3 + 249 * q^4 + 177 * q^5 - 5820 * q^7 - 74520 * q^8 - 30198 * q^9 - 60003 * q^10 + 175689 * q^11 - 307257 * q^12 - 713598 * q^13 + 290583 * q^14 - 385260 * q^15 + 292473 * q^16 + 951645 * q^17 - 2634174 * q^18 + 87108 * q^19 - 6701172 * q^20 + 1892136 * q^21 - 1410435 * q^22 - 9 * q^23 + 6919605 * q^24 - 1830519 * q^25 - 12361155 * q^26 + 12227553 * q^27 - 14971305 * q^28 - 8346069 * q^29 + 32076480 * q^30 + 25901316 * q^32 + 29661003 * q^33 + 17761257 * q^34 - 25104648 * q^35 - 302330892 * q^36 - 89711496 * q^37 + 137852370 * q^38 + 3073230 * q^39 + 72127485 * q^40 + 40690731 * q^41 + 229015377 * q^42 + 187195086 * q^44 - 293199021 * q^45 - 286926930 * q^46 - 134086527 * q^47 + 86156133 * q^48 + 67568640 * q^49 + 134153859 * q^50 - 528106959 * q^51 + 402280539 * q^52 + 147470676 * q^53 + 422122437 * q^54 - 55011861 * q^55 - 616228263 * q^56 - 449072832 * q^57 + 529606191 * q^58 + 773443290 * q^59 + 1433547972 * q^60 + 469275144 * q^61 - 914552304 * q^62 - 673379979 * q^63 + 1146585192 * q^64 - 243884745 * q^65 + 1805055381 * q^66 + 214516206 * q^67 + 722409993 * q^69 - 2605801512 * q^70 - 1455384636 * q^71 - 4689293691 * q^72 + 930909090 * q^73 - 1261741251 * q^74 + 3013150476 * q^75 + 195486513 * q^76 + 1827454371 * q^77 + 1710012453 * q^78 + 1230271476 * q^79 + 2262925611 * q^81 - 3346032141 * q^82 - 2122951164 * q^83 - 6124511730 * q^84 - 39169146 * q^85 - 2603533938 * q^86 + 1185003879 * q^87 - 261497646 * q^88 + 1603969074 * q^89 + 7288796094 * q^90 - 4883515182 * q^91 - 7533267018 * q^92 + 1209552852 * q^93 + 1712695200 * q^94 + 2036912394 * q^95 + 7661250639 * q^96 - 7583351877 * q^97 - 10074558573 * q^98 - 7520510685 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/37\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{13}{18}\right)$

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 $

$2$	−22.9919	+	27.4007i	−1.01611	+	1.21095i	−0.0387750	+	0.999248i	$0.512346\pi$
$2$	−22.9919	+	27.4007i	−1.01611	+	1.21095i	−0.977334	+	0.211703i	$0.932099\pi$
$3$	183.862	−	154.278i	1.31053	−	1.09966i	0.322303	−	0.946637i	$-0.395543\pi$
$3$	183.862	−	154.278i	1.31053	−	1.09966i	0.988222	−	0.153025i	$-0.0489015\pi$
$4$	−133.262	−	755.768i	−0.260278	−	1.47611i
$5$	816.313	−	2242.80i	0.584106	−	1.60482i	−0.196988	−	0.980406i	$-0.563116\pi$
$5$	816.313	−	2242.80i	0.584106	−	1.60482i	0.781095	−	0.624413i	$-0.214662\pi$
$6$			8585.09i			2.70436i
$7$	8119.51	+	2955.26i	1.27817	+	0.465216i	0.889826	−	0.456299i	$-0.150825\pi$
$7$	8119.51	+	2955.26i	1.27817	+	0.465216i	0.388343	+	0.921515i	$0.373048\pi$
$8$	7912.34	+	4568.19i	0.682968	+	0.394312i
$9$	6585.41	−	37347.7i	0.334573	−	1.89746i
$10$	42685.7	+	73933.9i	1.34984	+	2.33799i
$11$	13174.0	−	22818.1i	0.271301	−	0.469907i	−0.697894	−	0.716201i	$-0.745880\pi$
$11$	13174.0	−	22818.1i	0.271301	−	0.469907i	0.969195	+	0.246294i	$0.0792129\pi$
$12$	−141100.	−	118397.i	−1.96432	−	1.64826i
$13$	−42902.3	+	7564.84i	−0.416616	+	0.0734606i	−0.378027	−	0.925795i	$-0.623397\pi$
$13$	−42902.3	+	7564.84i	−0.416616	+	0.0734606i	−0.0385887	+	0.999255i	$0.512286\pi$
$14$	−267659.	+	154533.i	−1.86211	+	1.07509i
$15$	−195927.	−	538305.i	−0.999271	−	2.74547i
$16$	62134.8	−	22615.2i	0.237025	−	0.0862702i
$17$	−645007.	−	113732.i	−1.87303	−	0.330265i	−0.882802	−	0.469745i	$-0.844346\pi$
$17$	−645007.	−	113732.i	−1.87303	−	0.330265i	−0.990225	+	0.139480i	$0.955457\pi$
$18$	871942.	+	1.03914e6i	1.95777	+	2.33318i
$19$	315695.	+	376231.i	0.555746	+	0.662313i	0.968641	−	0.248466i	$-0.0799265\pi$
$19$	315695.	+	376231.i	0.555746	+	0.662313i	−0.412894	+	0.910779i	$0.635482\pi$
$20$	−1.80382e6	−	318062.i	−2.52092	−	0.444506i
$21$	1.94880e6	−	709304.i	2.18665	−	0.795877i
$22$	322335.	+	885608.i	0.293363	+	0.806009i
$23$	395014.	−	228061.i	0.294332	−	0.169933i	−0.345562	−	0.938396i	$-0.612312\pi$
$23$	395014.	−	228061.i	0.294332	−	0.169933i	0.639894	+	0.768463i	$0.278978\pi$
$24$	2.15955e6	−	380787.i	1.32866	−	0.234278i
$25$	−2.86761e6	−	2.40621e6i	−1.46822	−	1.23198i
$26$	779125.	−	1.34948e6i	0.334370	−	0.579145i
$27$	−2.18903e6	−	3.79152e6i	−0.792712	−	1.37302i
$28$	1.15147e6	−	6.53029e6i	0.354030	−	2.00780i
$29$	3.14478e6	+	1.81564e6i	0.825656	+	0.476693i	0.852363	−	0.522951i	$-0.175169\pi$
$29$	3.14478e6	+	1.81564e6i	0.825656	+	0.476693i	−0.0267070	+	0.999643i	$0.508502\pi$
$30$	1.92547e7	+	7.00812e6i	4.34000	+	1.57963i
$31$			1.05405e6i			0.204990i	0.994734	+	0.102495i	$0.0326825\pi$
$31$			1.05405e6i			0.204990i	−0.994734	+	0.102495i	$0.967318\pi$
$32$	−2.40884e6	+	6.61823e6i	−0.406100	+	1.11575i
$33$	−1.09813e6	−	6.22783e6i	−0.161192	−	0.914164i
$34$	1.79463e7	−	1.50587e7i	2.30313	−	1.93256i
$35$	1.32561e7	−	1.57980e7i	1.49317	−	1.77949i
$36$	−2.91038e7			−2.88794
$37$	−2.92622e6	+	1.10181e7i	−0.256684	+	0.966495i
$37$	−2.92622e6	+	1.10181e7i	−0.256684	+	0.966495i
$38$	−1.75674e7			−1.36673
$39$	−6.72100e6	+	8.00978e6i	−0.465204	+	0.554408i
$40$	1.67045e7	−	1.40167e7i	1.03172	−	0.865719i
$41$	1.98270e6	+	1.12445e7i	0.109580	+	0.621458i	0.989292	+	0.145951i	$0.0466242\pi$
$41$	1.98270e6	+	1.12445e7i	0.109580	+	0.621458i	−0.879712	+	0.475507i	$0.842265\pi$
$42$	−2.53712e7	+	6.97067e7i	−1.25811	+	3.45663i
$43$		−	1.08340e7i		−	0.483259i	−0.970369	−	0.241629i	$-0.922318\pi$
$43$		−	1.08340e7i		−	0.483259i	0.970369	−	0.241629i	$-0.0776818\pi$
$44$	−1.90008e7	−	6.91571e6i	−0.764247	−	0.278163i
$45$	−7.83878e7	−	4.52572e7i	−2.84965	−	1.64525i
$46$	−2.83309e6	+	1.60672e7i	−0.0932931	+	0.529092i
$47$	−2.14926e7	−	3.72263e7i	−0.642464	−	1.11278i	−0.984881	−	0.173233i	$-0.944579\pi$
$47$	−2.14926e7	−	3.72263e7i	−0.642464	−	1.11278i	0.342417	−	0.939548i	$-0.388755\pi$
$48$	7.93517e6	−	1.37441e7i	0.215760	−	0.373707i
$49$	2.62802e7	+	2.20517e7i	0.651247	+	0.546461i
$50$	1.31864e8	−	2.32512e7i	2.98374	−	0.526114i
$51$	−1.36138e8	+	7.85995e7i	−2.81783	+	1.62687i
$52$	1.14345e7	+	3.14161e7i	0.216872	+	0.595850i
$53$	8.62586e7	−	3.13956e7i	1.50162	−	0.546546i	0.545143	−	0.838343i	$-0.316475\pi$
$53$	8.62586e7	−	3.13956e7i	1.50162	−	0.546546i	0.956480	+	0.291797i	$0.0942530\pi$
$54$	1.54220e8	+	2.71932e7i	2.46814	+	0.435200i
$55$	−4.04223e7	−	4.81734e7i	−0.595647	−	0.709864i
$56$	5.07441e7	+	6.04745e7i	0.689509	+	0.821724i
$57$	1.16088e8	+	2.04695e7i	1.45664	+	0.256845i
$58$	−1.22054e8	+	4.44241e7i	−1.41621	+	0.515458i
$59$	−2.88522e7	−	7.92708e7i	−0.309988	−	0.851685i	−0.992658	−	0.120958i	$-0.961403\pi$
$59$	−2.88522e7	−	7.92708e7i	−0.309988	−	0.851685i	0.682670	−	0.730727i	$-0.260819\pi$
$60$	−3.80724e8	+	2.19811e8i	−3.79253	+	2.18962i
$61$	9.88101e7	−	1.74229e7i	0.913728	−	0.161115i	0.303032	−	0.952980i	$-0.402001\pi$
$61$	9.88101e7	−	1.74229e7i	0.913728	−	0.161115i	0.610696	+	0.791865i	$0.290890\pi$
$62$	−2.88816e7	−	2.42345e7i	−0.248232	−	0.208292i
$63$	1.63842e8	−	2.83783e8i	1.31037	−	2.26963i
$64$	−1.09033e8	−	1.88851e8i	−0.812359	−	1.40705i
$65$	−1.80553e7	+	1.02397e8i	−0.125457	+	0.711501i
$66$	1.95895e8	+	1.13100e8i	1.27080	+	0.733695i
$67$	−1.56130e8	−	5.68268e7i	−0.946566	−	0.344522i	−0.177810	−	0.984065i	$-0.556901\pi$
$67$	−1.56130e8	−	5.68268e7i	−0.946566	−	0.344522i	−0.768755	+	0.639543i	$0.779124\pi$
$68$			5.02632e8i			2.85075i
$69$	3.74430e7	−	1.02874e8i	0.198861	−	0.546366i
$70$	1.28093e8	+	7.26454e8i	0.637655	+	3.61632i
$71$	7.22710e7	−	6.06425e7i	0.337521	−	0.283214i	−0.458235	−	0.888831i	$-0.651518\pi$
$71$	7.22710e7	−	6.06425e7i	0.337521	−	0.283214i	0.795756	+	0.605617i	$0.207074\pi$
$72$	2.22718e8	−	2.65425e8i	0.976694	−	1.16398i
$73$	3.21297e8			1.32420			0.662101	−	0.749414i	$-0.269665\pi$
$73$	3.21297e8			1.32420			0.662101	+	0.749414i	$0.269665\pi$
$74$	−2.34625e8	−	3.33508e8i	−0.909560	−	1.29290i
$75$	−8.98470e8			−3.27890
$76$	2.42273e8	−	2.88730e8i	0.832998	−	0.992728i
$77$	1.74400e8	−	1.46339e8i	0.565376	−	0.474407i
$78$	−6.49448e7	−	3.68320e8i	−0.198664	−	1.12668i
$79$	−3.85714e7	+	1.05974e8i	−0.111415	+	0.306110i	−0.982852	−	0.184398i	$-0.940967\pi$
$79$	−3.85714e7	+	1.05974e8i	−0.111415	+	0.306110i	0.871437	+	0.490508i	$0.163189\pi$
$80$		−	1.57817e8i		−	0.430774i
$81$	−2.85989e8	−	1.04092e8i	−0.738189	−	0.268679i
$82$	−3.53693e8	−	2.04205e8i	−0.863901	−	0.498773i
$83$	−8.45284e7	+	4.79384e8i	−0.195502	+	1.10875i	0.716200	+	0.697895i	$0.245880\pi$
$83$	−8.45284e7	+	4.79384e8i	−0.195502	+	1.10875i	−0.911702	+	0.410852i	$0.865231\pi$
$84$	−7.95771e8	−	1.37832e9i	−1.74394	−	3.02059i
$85$	−7.81606e8	+	1.35378e9i	−1.62406	+	2.81296i
$86$	2.96858e8	+	2.49094e8i	0.585203	+	0.491043i
$87$	8.58318e8	−	1.51345e8i	1.60624	−	0.283224i
$88$	2.08475e8	−	1.20363e8i	0.370579	−	0.213954i
$89$	−1.25976e7	−	3.46117e7i	−0.0212830	−	0.0584746i	0.928596	−	0.371092i	$-0.121017\pi$
$89$	−1.25976e7	−	3.46117e7i	−0.0212830	−	0.0584746i	−0.949879	+	0.312617i	$0.898794\pi$
$90$	3.04236e9	−	1.10733e9i	4.88787	−	1.77904i
$91$	−3.70702e8	−	6.53647e7i	−0.566680	−	0.0999211i
$92$	−2.25002e8	−	2.68147e8i	−0.327447	−	0.390236i
$93$	1.62616e8	+	1.93798e8i	0.225419	+	0.268644i
$94$	1.51418e9	+	2.66991e8i	2.00034	+	0.352713i
$95$	1.10152e9	−	4.00919e8i	1.38751	−	0.505011i
$96$	5.78155e8	+	1.58847e9i	0.694743	+	1.90879i
$97$	−1.29775e9	+	7.49259e8i	−1.48840	+	0.859328i	−0.999912	−	0.0132427i	$-0.995785\pi$
$97$	−1.29775e9	+	7.49259e8i	−1.48840	+	0.859328i	−0.488488	+	0.872571i	$0.662451\pi$
$98$	−1.20846e9	+	2.13085e8i	−1.32348	+	0.233365i
$99$	−7.65446e8	−	6.42286e8i	−0.800859	−	0.672001i
$100$	−1.43639e9	+	2.48791e9i	−1.43639	+	2.48791i
$101$	1.12528e8	+	1.94904e8i	0.107600	+	0.186369i	0.914798	−	0.403913i	$-0.132350\pi$
$101$	1.12528e8	+	1.94904e8i	0.107600	+	0.186369i	−0.807197	+	0.590282i	$0.799017\pi$
$102$	9.76400e8	−	5.53744e9i	0.893155	−	5.06534i
$103$	1.12106e9	+	6.47242e8i	0.981431	+	0.566630i	0.902702	−	0.430266i	$-0.141580\pi$
$103$	1.12106e9	+	6.47242e8i	0.981431	+	0.566630i	0.0787293	+	0.996896i	$0.474914\pi$
$104$	−3.74015e8	−	1.36130e8i	−0.313501	−	0.114105i
$105$		−	4.94978e9i		−	3.97406i
$106$	−1.12299e9	+	3.08539e9i	−0.863972	+	2.37374i
$107$	−7.13793e7	−	4.04812e8i	−0.0526436	−	0.298556i	0.947106	−	0.320920i	$-0.103992\pi$
$107$	−7.13793e7	−	4.04812e8i	−0.0526436	−	0.298556i	−0.999750	+	0.0223634i	$0.992881\pi$
$108$	−2.57379e9	+	2.15967e9i	−1.82040	+	1.52750i
$109$	−9.20641e8	+	1.09718e9i	−0.624699	+	0.744487i	−0.981871	−	0.189551i	$-0.939297\pi$
$109$	−9.20641e8	+	1.09718e9i	−0.624699	+	0.744487i	0.357172	+	0.934039i	$0.383741\pi$
$110$	2.24937e9			1.46485
$111$	1.16184e9	+	2.47726e9i	0.726427	+	1.54888i
$112$	5.71338e8			0.343093
$113$	8.78869e8	−	1.04740e9i	0.507074	−	0.604307i	−0.450400	−	0.892827i	$-0.648719\pi$
$113$	8.78869e8	−	1.04740e9i	0.507074	−	0.604307i	0.957474	+	0.288520i	$0.0931631\pi$
$114$	−3.22998e9	+	2.71027e9i	−1.79113	+	1.50294i
$115$	−1.89042e8	−	1.07211e9i	−0.100790	−	0.571608i
$116$	9.53121e8	−	2.61868e9i	0.488751	−	1.34283i
$117$			1.65212e9i			0.815090i
$118$	2.83544e9	+	1.03202e9i	1.34633	+	0.490024i
$119$	−4.90103e9	−	2.82961e9i	−2.24040	−	1.29350i
$120$	9.08839e8	−	5.15428e9i	0.400103	−	2.26909i
$121$	8.31865e8	+	1.44083e9i	0.352792	+	0.611053i
$122$	−1.79443e9	+	3.10805e9i	−0.733345	+	1.27019i
$123$	2.09932e9	+	1.76154e9i	0.827001	+	0.693936i
$124$	7.96614e8	−	1.40464e8i	0.302587	−	0.0533542i
$125$	−3.70047e9	+	2.13646e9i	−1.35569	+	0.782710i
$126$	4.00881e9	+	1.10141e10i	1.41693	+	3.89298i
$127$	3.00760e9	−	1.09468e9i	1.02589	−	0.373395i	0.226378	−	0.974039i	$-0.427311\pi$
$127$	3.00760e9	−	1.09468e9i	1.02589	−	0.373395i	0.799516	+	0.600644i	$0.205089\pi$
$128$	4.13030e9	+	7.28283e8i	1.35999	+	0.239803i
$129$	−1.67145e9	−	1.99195e9i	−0.531421	−	0.633323i
$130$	−2.39061e9	−	2.84902e9i	−0.734116	−	0.874885i
$131$	−2.12061e9	−	3.73921e8i	−0.629130	−	0.110933i	−0.150014	−	0.988684i	$-0.547932\pi$
$131$	−2.12061e9	−	3.73921e8i	−0.629130	−	0.110933i	−0.479117	+	0.877751i	$0.659043\pi$
$132$	−4.56045e9	+	1.65987e9i	−1.30745	+	0.475873i
$133$	1.45143e9	+	3.98777e9i	0.402220	+	1.10509i
$134$	5.14683e9	−	2.97152e9i	1.37901	−	0.796174i
$135$	−1.02906e10	+	1.81450e9i	−2.66647	+	0.470171i
$136$	−4.58396e9	−	3.84640e9i	−1.14899	−	0.964117i
$137$	1.57946e9	−	2.73571e9i	0.383060	−	0.663479i	−0.608438	−	0.793601i	$-0.708204\pi$
$137$	1.57946e9	−	2.73571e9i	0.383060	−	0.663479i	0.991498	+	0.130122i	$0.0415370\pi$
$138$	1.95793e9	+	3.39123e9i	0.459559	+	0.795979i
$139$	1.34510e8	−	7.62843e8i	0.0305624	−	0.173328i	−0.965706	−	0.259638i	$-0.916397\pi$
$139$	1.34510e8	−	7.62843e8i	0.0305624	−	0.173328i	0.996268	+	0.0863105i	$0.0275077\pi$
$140$	−1.37062e10	−	7.91327e9i	−3.01537	−	1.74092i
$141$	−9.69488e9	−	3.52865e9i	−2.06565	−	0.751834i
$142$			3.37456e9i			0.696498i
$143$	−3.92581e8	+	1.07861e9i	−0.0785085	+	0.215700i
$144$	−4.35444e8	−	2.46952e9i	−0.0843919	−	0.478610i
$145$	6.63924e9	−	5.57099e9i	1.24728	−	1.04659i
$146$	−7.38725e9	+	8.80378e9i	−1.34553	+	1.60355i
$147$	8.23401e9			1.45440
$148$	8.71710e9	+	7.43242e8i	1.49346	+	0.127336i
$149$	4.02476e9			0.668963			0.334481	−	0.942402i	$-0.391439\pi$
$149$	4.02476e9			0.668963			0.334481	+	0.942402i	$0.391439\pi$
$150$	2.06576e10	−	2.46187e10i	3.33172	−	3.97059i
$151$	1.95427e9	−	1.63982e9i	0.305906	−	0.256685i	−0.476892	−	0.878962i	$-0.658237\pi$
$151$	1.95427e9	−	1.63982e9i	0.305906	−	0.256685i	0.782797	+	0.622277i	$0.213792\pi$
$152$	7.79193e8	+	4.41902e9i	0.118399	+	0.671475i
$153$	−8.49527e9	+	2.33406e10i	−1.25333	+	3.44350i
$154$			8.14329e9i			1.16669i
$155$	2.36402e9	+	8.60431e8i	0.328971	+	0.119736i
$156$	6.94919e9	+	4.01212e9i	0.939449	+	0.542391i
$157$	4.19161e8	−	2.37718e9i	0.0550595	−	0.312258i	−0.944823	−	0.327581i	$-0.893767\pi$
$157$	4.19161e8	−	2.37718e9i	0.0550595	−	0.312258i	0.999883	+	0.0153231i	$0.00487769\pi$
$158$	−2.01694e9	−	3.49343e9i	−0.257475	−	0.445960i
$159$	1.10160e10	−	1.90803e10i	1.36690	−	2.36754i
$160$	1.28770e10	+	1.08051e10i	1.55337	+	1.30343i
$161$	3.88130e9	−	6.84378e8i	0.455261	−	0.0802749i
$162$	9.42763e9	−	5.44305e9i	1.07544	−	0.620904i
$163$	2.86531e9	+	7.87237e9i	0.317927	+	0.873496i	0.990993	+	0.133914i	$0.0427546\pi$
$163$	2.86531e9	+	7.87237e9i	0.317927	+	0.873496i	−0.673066	+	0.739582i	$0.735023\pi$
$164$	8.23400e9	−	2.99693e9i	0.888819	−	0.323504i
$165$	−1.48642e10	−	2.62096e9i	−1.56122	−	0.275285i
$166$	−1.11920e10	−	1.33381e10i	−1.14399	−	1.36335i
$167$	8.14080e9	+	9.70183e9i	0.809922	+	0.965227i	0.999863	−	0.0165682i	$-0.00527406\pi$
$167$	8.14080e9	+	9.70183e9i	0.809922	+	0.965227i	−0.189941	+	0.981796i	$0.560830\pi$
$168$	1.86598e10	+	3.29023e9i	1.80724	+	0.318665i
$169$	−8.18159e9	+	2.97785e9i	−0.771520	+	0.280810i
$170$	−1.91239e10	−	5.25426e10i	−1.75613	−	4.82493i
$171$	1.61303e10	−	9.31286e9i	1.44265	−	0.832915i
$172$	−8.18797e9	+	1.44376e9i	−0.713343	+	0.125782i
$173$	−1.14391e9	−	9.59852e8i	−0.0970919	−	0.0814698i	0.592950	−	0.805240i	$-0.297963\pi$
$173$	−1.14391e9	−	9.59852e8i	−0.0970919	−	0.0814698i	−0.690042	+	0.723770i	$0.742408\pi$
$174$	−1.55874e10	+	2.69982e10i	−1.28915	+	2.23287i
$175$	−1.61726e10	−	2.80118e10i	−1.30349	−	2.25772i
$176$	3.02529e8	−	1.71573e9i	0.0237662	−	0.134785i
$177$	−1.75346e10	−	1.01236e10i	−1.34281	−	0.775273i
$178$	1.23803e9	+	4.50605e8i	0.0924358	+	0.0336439i
$179$			3.95761e9i			0.288134i	0.989568	+	0.144067i	$0.0460181\pi$
$179$			3.95761e9i			0.288134i	−0.989568	+	0.144067i	$0.953982\pi$
$180$	−2.37578e10	+	6.52741e10i	−1.68686	+	4.63462i
$181$	3.55197e9	+	2.01442e10i	0.245989	+	1.39507i	0.818184	+	0.574956i	$0.194981\pi$
$181$	3.55197e9	+	2.01442e10i	0.245989	+	1.39507i	−0.572195	+	0.820118i	$0.693908\pi$
$182$	1.03142e10	−	8.65463e9i	0.696809	−	0.584692i
$183$	1.54794e10	−	1.84476e10i	1.02029	−	1.21594i
$184$	4.16732e9			0.268026
$185$	2.23228e10	+	1.55572e10i	1.40112	+	0.976467i
$186$	−9.04907e9			−0.554365
$187$	−1.10925e10	+	1.32195e10i	−0.663347	+	0.790547i
$188$	−2.52703e10	+	2.12043e10i	−1.47537	+	1.23798i
$189$	−6.56896e9	−	3.72544e10i	−0.374471	−	2.12373i
$190$	−1.43405e10	+	3.94003e10i	−0.798314	+	2.19335i
$191$			1.95771e10i			1.06438i	0.846624	+	0.532191i	$0.178631\pi$
$191$			1.95771e10i			1.06438i	−0.846624	+	0.532191i	$0.821369\pi$
$192$	−4.91825e10	−	1.79010e10i	−2.61189	−	0.950651i
$193$	−2.82063e10	−	1.62849e10i	−1.46331	−	0.844845i	−0.464151	−	0.885756i	$-0.653641\pi$
$193$	−2.82063e10	−	1.62849e10i	−1.46331	−	0.844845i	−0.999163	+	0.0409115i	$0.986974\pi$
$194$	9.30764e9	−	5.27863e10i	0.471772	−	2.67555i
$195$	1.24779e10	+	2.16124e10i	0.617996	+	1.07040i
$196$	1.31638e10	−	2.28004e10i	0.637131	−	1.10354i
$197$	1.36897e9	+	1.14870e9i	0.0647583	+	0.0543386i	0.674592	−	0.738191i	$-0.264319\pi$
$197$	1.36897e9	+	1.14870e9i	0.0647583	+	0.0543386i	−0.609834	+	0.792529i	$0.708764\pi$
$198$	3.51982e10	−	6.20638e9i	1.62752	−	0.286976i
$199$	−3.89124e8	+	2.24661e8i	−0.0175893	+	0.0101552i	−0.508769	−	0.860903i	$-0.669899\pi$
$199$	−3.89124e8	+	2.24661e8i	−0.0175893	+	0.0101552i	0.491180	+	0.871058i	$0.336566\pi$
$200$	−1.16975e10	−	3.21386e10i	−0.516961	−	1.42034i
$201$	−3.74735e10	+	1.36392e10i	−1.61936	+	0.589397i
$202$	−7.92773e9	−	1.39787e9i	−0.335018	−	0.0590726i
$203$	2.01684e10	+	2.40357e10i	0.833563	+	0.993402i
$204$	7.75451e10	+	9.24146e10i	3.13486	+	3.73598i
$205$	2.68376e10	+	4.73220e9i	1.06133	+	0.187142i
$206$	−4.35101e10	+	1.58364e10i	−1.68340	+	0.612708i
$207$	−5.91625e9	−	1.62548e10i	−0.223965	−	0.615338i
$208$	−2.49465e9	+	1.44028e9i	−0.0924111	+	0.0533536i
$209$	1.27438e10	−	2.24708e9i	0.462000	−	0.0814630i
$210$	1.35628e11	+	1.13805e11i	4.81239	+	4.03808i
$211$	1.14453e10	−	1.98238e10i	0.397517	−	0.688519i	−0.595902	−	0.803057i	$-0.703205\pi$
$211$	1.14453e10	−	1.98238e10i	0.397517	−	0.688519i	0.993419	+	0.114538i	$0.0365388\pi$
$212$	−3.52228e10	−	6.10077e10i	−1.19760	−	2.07431i
$213$	3.93203e9	−	2.22997e10i	0.130891	−	0.742319i
$214$	1.27333e10	+	7.35156e9i	0.415029	+	0.239617i
$215$	−2.42985e10	−	8.84391e9i	−0.775542	−	0.282274i
$216$		−	3.99997e10i		−	1.25030i
$217$	−3.11498e9	+	8.55833e9i	−0.0953643	+	0.262011i
$218$	−8.89612e9	−	5.04524e10i	−0.266776	−	1.51296i
$219$	5.90743e10	−	4.95692e10i	1.73540	−	1.45617i
$220$	−3.10211e10	+	3.69696e10i	−0.892803	+	1.06400i
$221$	2.85326e10			0.804594
$222$	−9.45916e10	−	2.51218e10i	−2.61375	−	0.694166i
$223$	5.37057e10			1.45428			0.727141	−	0.686488i	$-0.240848\pi$
$223$	5.37057e10			1.45428			0.727141	+	0.686488i	$0.240848\pi$
$224$	−3.91171e10	+	4.66180e10i	−1.03813	+	1.23719i
$225$	−1.08751e11	+	9.12529e10i	−2.82886	+	2.37370i
$226$	8.49248e9	+	4.81633e10i	0.216544	+	1.22808i
$227$	1.31100e10	−	3.60195e10i	0.327708	−	0.900371i	−0.660982	−	0.750401i	$-0.729860\pi$
$227$	1.31100e10	−	3.60195e10i	0.327708	−	0.900371i	0.988691	−	0.149970i	$-0.0479176\pi$
$228$		−	9.04637e10i		−	2.21701i
$229$	2.61911e10	+	9.53280e9i	0.629354	+	0.229066i	0.636950	−	0.770905i	$-0.280196\pi$
$229$	2.61911e10	+	9.53280e9i	0.629354	+	0.229066i	−0.00759620	+	0.999971i	$0.502418\pi$
$230$	3.37229e10	+	1.94700e10i	0.794603	+	0.458764i
$231$	9.48854e9	−	5.38122e10i	0.219253	−	1.24345i
$232$	1.65884e10	+	2.87319e10i	0.375931	+	0.651131i
$233$	−1.43233e10	+	2.48087e10i	−0.318377	+	0.551444i	−0.980149	−	0.198260i	$-0.936471\pi$
$233$	−1.43233e10	+	2.48087e10i	−0.318377	+	0.551444i	0.661773	+	0.749704i	$0.269804\pi$
$234$	−4.52693e10	−	3.79854e10i	−0.987034	−	0.828220i
$235$	−1.01036e11	+	1.78154e10i	−2.16108	+	0.381057i
$236$	−5.60654e10	+	3.23694e10i	−1.17650	+	0.679251i
$237$	9.25770e9	+	2.54353e10i	0.190606	+	0.523684i
$238$	1.90217e11	−	6.92334e10i	3.84285	−	1.39868i
$239$	−4.33095e10	−	7.63664e9i	−0.858604	−	0.151395i	−0.273021	−	0.962008i	$-0.588023\pi$
$239$	−4.33095e10	−	7.63664e9i	−0.858604	−	0.151395i	−0.585582	+	0.810613i	$0.699134\pi$
$240$	−2.43478e10	−	2.90165e10i	−0.473705	−	0.564540i
$241$	3.21188e10	+	3.82777e10i	0.613313	+	0.730918i	0.979905	−	0.199463i	$-0.0639199\pi$
$241$	3.21188e10	+	3.82777e10i	0.613313	+	0.730918i	−0.366592	+	0.930382i	$0.619475\pi$
$242$	−5.86060e10	−	1.03338e10i	−1.09843	−	0.193683i
$243$	1.23351e10	−	4.48959e9i	0.226941	−	0.0825998i
$244$	−2.63353e10	−	7.23557e10i	−0.475646	−	1.30683i
$245$	7.09104e10	−	4.09401e10i	1.25737	−	0.725942i
$246$	−9.65348e10	+	1.70217e10i	−1.68065	+	0.296343i
$247$	−1.63902e10	−	1.37530e10i	−0.280187	−	0.235104i
$248$	−4.81508e9	+	8.33997e9i	−0.0808297	+	0.140001i
$249$	5.84170e10	+	1.01181e11i	0.963036	+	1.66803i
$250$	2.65402e10	−	1.50517e11i	0.429708	−	2.43700i
$251$	6.89143e10	+	3.97877e10i	1.09592	+	0.632728i	0.935146	−	0.354264i	$-0.115269\pi$
$251$	6.89143e10	+	3.97877e10i	1.09592	+	0.632728i	0.160771	+	0.986992i	$0.448602\pi$
$252$	−2.36308e11	−	8.60092e10i	−3.69128	−	1.34352i
$253$		−	1.20179e10i		−	0.184411i
$254$	−3.91555e10	+	1.07579e11i	−0.590258	+	1.62172i
$255$	6.51516e10	+	3.69493e11i	0.964927	+	5.47237i
$256$	−2.93903e10	+	2.46614e10i	−0.427685	+	0.358870i
$257$	8.87925e10	−	1.05819e11i	1.26963	−	1.51309i	0.514537	−	0.857468i	$-0.327964\pi$
$257$	8.87925e10	−	1.05819e11i	1.26963	−	1.51309i	0.755093	−	0.655618i	$-0.227592\pi$
$258$	9.30106e10			1.30690
$259$	−5.63208e10	+	8.08140e10i	−0.777715	+	1.11593i
$260$	7.97942e10			1.08291
$261$	8.85196e10	−	1.05494e11i	1.18075	−	1.40716i
$262$	5.90027e10	−	4.95091e10i	0.773599	−	0.649127i
$263$	−6.44122e9	−	3.65300e10i	−0.0830171	−	0.470813i	−0.997767	−	0.0667925i	$-0.978723\pi$
$263$	−6.44122e9	−	3.65300e10i	−0.0830171	−	0.470813i	0.914750	−	0.404021i	$-0.132388\pi$
$264$	1.97611e10	−	5.42932e10i	0.250377	−	0.687904i
$265$		−	2.19090e11i		−	2.72907i
$266$	−1.42639e11	−	5.19163e10i	−1.74691	−	0.635823i
$267$	−7.65604e9	−	4.42022e9i	−0.0921942	−	0.0532284i
$268$	−2.21416e10	+	1.25571e11i	−0.262182	+	1.48691i
$269$	2.39000e10	+	4.13960e10i	0.278299	+	0.482029i	0.970962	−	0.239233i	$-0.0768959\pi$
$269$	2.39000e10	+	4.13960e10i	0.278299	+	0.482029i	−0.692663	+	0.721262i	$0.743563\pi$
$270$	1.86881e11	−	3.23688e11i	2.14007	−	3.70671i
$271$	1.78876e10	+	1.50095e10i	0.201461	+	0.169046i	0.737937	−	0.674870i	$-0.235800\pi$
$271$	1.78876e10	+	1.50095e10i	0.201461	+	0.169046i	−0.536476	+	0.843916i	$0.680245\pi$
$272$	−4.26494e10	+	7.52025e9i	−0.472447	+	0.0833052i
$273$	−7.82422e10	+	4.51731e10i	−0.852528	+	0.492208i
$274$	3.86455e10	+	1.06178e11i	0.414210	+	1.13803i
$275$	−9.26831e10	+	3.37339e10i	−0.977245	+	0.355688i
$276$	−8.27385e10	−	1.45890e10i	−0.858256	−	0.151334i
$277$	−1.17090e11	−	1.39543e11i	−1.19498	−	1.42412i	−0.879965	−	0.475038i	$-0.842434\pi$
$277$	−1.17090e11	−	1.39543e11i	−1.19498	−	1.42412i	−0.315017	−	0.949086i	$-0.602010\pi$
$278$	1.78098e10	+	2.12249e10i	0.178837	+	0.213130i
$279$	3.93662e10	+	6.94132e9i	0.388960	+	0.0685841i
$280$	1.77055e11	−	6.44429e10i	1.72146	−	0.626562i
$281$	2.95553e10	+	8.12026e10i	0.282786	+	0.776948i	0.997027	+	0.0770484i	$0.0245496\pi$
$281$	2.95553e10	+	8.12026e10i	0.282786	+	0.776948i	−0.714242	+	0.699899i	$0.753228\pi$
$282$	3.19591e11	−	1.84516e11i	3.00936	−	1.73745i
$283$	−1.26751e11	+	2.23496e10i	−1.17466	+	0.207124i	−0.726715	−	0.686939i	$-0.758954\pi$
$283$	−1.26751e11	+	2.23496e10i	−1.17466	+	0.207124i	−0.447942	+	0.894063i	$0.647843\pi$
$284$	−5.54627e10	−	4.65387e10i	−0.505904	−	0.424504i
$285$	1.40674e11	−	2.43654e11i	1.26302	−	2.18762i
$286$	−2.05284e10	−	3.55562e10i	−0.181430	−	0.314245i
$287$	−1.71318e10	+	9.71590e10i	−0.149050	+	0.845307i
$288$	2.31312e11	+	1.33548e11i	1.98122	+	1.14386i
$289$	2.91662e11	+	1.06156e11i	2.45946	+	0.895171i
$290$			3.10008e11i			2.57384i
$291$	−1.23013e11	+	3.37975e11i	−1.00562	+	2.76291i
$292$	−4.28168e10	−	2.42826e11i	−0.344661	−	1.95467i
$293$	−8.30961e10	+	6.97259e10i	−0.658683	+	0.552701i	−0.909692	−	0.415284i	$-0.863682\pi$
$293$	−8.30961e10	+	6.97259e10i	−0.658683	+	0.552701i	0.251009	+	0.967985i	$0.419238\pi$
$294$	−1.89316e11	+	2.25618e11i	−1.47783	+	1.76121i
$295$	−2.01341e11			−1.54787
$296$	−7.34861e10	+	7.38116e10i	−0.556407	+	0.558872i
$297$	−1.15353e11			−0.860254
$298$	−9.25370e10	+	1.10281e11i	−0.679739	+	0.810081i
$299$	−1.52218e10	+	1.27726e10i	−0.110140	+	0.0924184i
$300$	1.19732e11	+	6.79035e11i	0.853425	+	4.84001i
$301$	3.20172e10	−	8.79665e10i	0.224819	−	0.617686i
$302$			9.12510e10i			0.631257i
$303$	5.07589e10	+	1.84747e10i	0.345956	+	0.125918i
$304$	2.81242e10	+	1.62375e10i	0.188864	+	0.109041i
$305$	4.15839e10	−	2.35834e11i	0.275154	−	1.56048i
$306$	−4.44225e11	−	7.69420e11i	−2.89639	−	5.01669i
$307$	−4.49980e10	+	7.79389e10i	−0.289115	+	0.500762i	−0.973599	−	0.228266i	$-0.926694\pi$
$307$	−4.49980e10	+	7.79389e10i	−0.289115	+	0.500762i	0.684484	+	0.729028i	$0.260028\pi$
$308$	−1.33839e11	−	1.12304e11i	−0.847432	−	0.711080i
$309$	3.05975e11	−	5.39516e10i	1.90929	−	0.336660i
$310$	−7.79297e10	+	4.49927e10i	−0.479264	+	0.276703i
$311$	−4.27558e10	−	1.17471e11i	−0.259163	−	0.712045i	−0.999220	−	0.0395003i	$-0.987423\pi$
$311$	−4.27558e10	−	1.17471e11i	−0.259163	−	0.712045i	0.740056	−	0.672545i	$-0.234799\pi$
$312$	−8.97691e10	+	3.26733e10i	−0.536329	+	0.195208i
$313$	1.73784e11	+	3.06429e10i	1.02344	+	0.180460i	0.660084	−	0.751192i	$-0.270521\pi$
$313$	1.73784e11	+	3.06429e10i	1.02344	+	0.180460i	0.363353	+	0.931651i	$0.381632\pi$
$314$	5.54991e10	+	6.61412e10i	0.322183	+	0.383962i
$315$	−5.02723e11	−	5.99122e11i	−2.87694	−	3.42861i
$316$	8.52320e10	+	1.50287e10i	0.480851	+	0.0847871i
$317$	−1.11169e11	+	4.04621e10i	−0.618324	+	0.225052i	−0.632141	−	0.774853i	$-0.717824\pi$
$317$	−1.11169e11	+	4.04621e10i	−0.618324	+	0.225052i	0.0138175	+	0.999905i	$0.495602\pi$
$318$	2.69534e11	+	7.40538e11i	1.47806	+	4.06093i
$319$	8.28587e10	−	4.78385e10i	0.448002	−	0.258654i
$320$	−5.12559e11	+	9.03781e10i	−2.73256	+	0.481824i
$321$	−7.55776e10	−	6.34171e10i	−0.397302	−	0.333376i
$322$	−7.04861e10	+	1.22086e11i	−0.365386	+	0.632867i
$323$	−1.60836e11	−	2.78576e11i	−0.822189	−	1.42407i
$324$	−4.05575e10	+	2.30013e11i	−0.204465	+	1.15958i
$325$	1.41230e11	+	8.15391e10i	0.702185	+	0.405407i
$326$	−2.81587e11	−	1.02489e11i	−1.38081	−	0.502574i
$327$			3.43764e11i			1.66263i
$328$	−3.56791e10	+	9.80275e10i	−0.170209	+	0.467644i
$329$	−6.44961e10	−	3.65776e11i	−0.303495	−	1.72121i
$330$	4.13573e11	−	3.47029e11i	1.91973	−	1.61084i
$331$	8.89670e10	−	1.06027e11i	0.407383	−	0.485500i	−0.522873	−	0.852410i	$-0.675140\pi$
$331$	8.89670e10	−	1.06027e11i	0.407383	−	0.485500i	0.930256	+	0.366910i	$0.119584\pi$
$332$	3.73568e11			1.68752
$333$	3.92231e11	+	1.81846e11i	1.74801	+	0.810412i
$334$	−4.53010e11			−1.99181
$335$	−2.54903e11	+	3.03781e11i	−1.10579	+	1.31783i
$336$	1.05047e11	−	8.81450e10i	0.449632	−	0.377286i
$337$	−1.78937e8	−	1.01480e9i	−0.000755730	−	0.00428596i	0.984428	−	0.175791i	$-0.0562482\pi$
$337$	−1.78937e8	−	1.01480e9i	−0.000755730	−	0.00428596i	−0.985183	+	0.171505i	$0.945137\pi$
$338$	1.06515e11	−	2.92648e11i	0.443901	−	1.21961i
$339$		−	3.28166e11i		−	1.34957i
$340$	1.12730e12	+	4.10305e11i	4.57494	+	1.66514i
$341$	2.40513e10	+	1.38860e10i	0.0963260	+	0.0556138i
$342$	−1.15689e11	+	6.56103e11i	−0.457271	+	2.59331i
$343$	−2.61260e10	−	4.52516e10i	−0.101918	−	0.176527i
$344$	4.94917e10	−	8.57221e10i	0.190554	−	0.330050i
$345$	−2.00160e11	−	1.67955e11i	−0.760663	−	0.638272i
$346$	5.26012e10	−	9.27501e9i	0.197312	−	0.0347914i
$347$	6.35662e10	−	3.67000e10i	0.235366	−	0.135889i	−0.377679	−	0.925937i	$-0.623278\pi$
$347$	6.35662e10	−	3.67000e10i	0.235366	−	0.135889i	0.613045	+	0.790048i	$0.289944\pi$
$348$	−2.28763e11	−	6.28521e11i	−0.836139	−	2.29727i
$349$	−1.96008e11	+	7.13410e10i	−0.707227	+	0.257410i	−0.670493	−	0.741915i	$-0.733918\pi$
$349$	−1.96008e11	+	7.13410e10i	−0.707227	+	0.257410i	−0.0367338	+	0.999325i	$0.511695\pi$
$350$	1.13938e12	+	2.00904e11i	4.05848	+	0.715620i
$351$	1.22597e11	+	1.46105e11i	0.431119	+	0.513788i
$352$	1.19281e11	+	1.42154e11i	0.414123	+	0.493533i
$353$	−2.22422e11	−	3.92190e10i	−0.762415	−	0.134434i	−0.221097	−	0.975252i	$-0.570964\pi$
$353$	−2.22422e11	−	3.92190e10i	−0.762415	−	0.134434i	−0.541319	+	0.840818i	$0.682075\pi$
$354$	6.80547e11	−	2.47699e11i	2.30326	−	0.838319i
$355$	−7.70135e10	−	2.11593e11i	−0.257359	−	0.707088i
$356$	−2.44796e10	+	1.41333e10i	−0.0807754	+	0.0466357i
$357$	−1.33766e12	+	2.35865e11i	−4.35851	+	0.768523i
$358$	−1.08441e11	−	9.09932e10i	−0.348917	−	0.292776i
$359$	4.50753e10	−	7.80726e10i	0.143223	−	0.248070i	−0.785485	−	0.618880i	$-0.787587\pi$
$359$	4.50753e10	−	7.80726e10i	0.143223	−	0.248070i	0.928709	+	0.370810i	$0.120920\pi$
$360$	−4.13487e11	−	7.16181e11i	−1.29748	−	2.24730i
$361$	1.41479e10	−	8.02369e10i	0.0438440	−	0.248652i
$362$	−6.33633e11	−	3.65828e11i	−1.93932	−	1.11967i
$363$	3.75237e11	+	1.36575e11i	1.13429	+	0.412849i
$364$			2.88875e11i			0.862490i
$365$	2.62279e11	−	7.20607e11i	0.773475	−	2.12510i
$366$	1.49577e11	+	8.48293e11i	0.435712	+	2.47105i
$367$	8.14724e10	−	6.83635e10i	0.234430	−	0.196710i	−0.518003	−	0.855379i	$-0.673324\pi$
$367$	8.14724e10	−	6.83635e10i	0.234430	−	0.196710i	0.752433	+	0.658669i	$0.228880\pi$
$368$	1.93865e10	−	2.31039e10i	0.0551040	−	0.0656704i
$369$	4.33012e11			1.21585
$370$	−9.39520e11	+	2.53970e11i	−2.60614	+	0.704490i
$371$	7.93160e11			2.17359
$372$	1.24796e11	−	1.48726e11i	0.337876	−	0.402665i
$373$	−4.11875e11	+	3.45604e11i	−1.10173	+	0.924462i	−0.997540	−	0.0700952i	$-0.977670\pi$
$373$	−4.11875e11	+	3.45604e11i	−1.10173	+	0.924462i	−0.104191	+	0.994557i	$0.533225\pi$
$374$	−1.07186e11	−	6.07883e11i	−0.283280	−	1.60656i
$375$	−3.50764e11	+	9.63715e11i	−0.915954	+	2.51656i
$376$		−	3.92730e11i		−	1.01332i
$377$	−1.48653e11	−	5.41054e10i	−0.378999	−	0.137944i
$378$	1.17183e12	+	6.76557e11i	2.95224	+	1.70448i
$379$	−1.25333e11	+	7.10801e11i	−0.312026	+	1.76958i	0.276409	+	0.961040i	$0.410856\pi$
$379$	−1.25333e11	+	7.10801e11i	−0.312026	+	1.76958i	−0.588435	+	0.808545i	$0.700256\pi$
$380$	−4.49793e11	−	7.79064e11i	−1.10659	−	1.91667i
$381$	3.84097e11	−	6.65276e11i	0.933853	−	1.61748i
$382$	−5.36426e11	−	4.50115e11i	−1.28892	−	1.08153i
$383$	3.65166e11	−	6.43887e10i	0.867154	−	0.152903i	0.277664	−	0.960678i	$-0.410440\pi$
$383$	3.65166e11	−	6.43887e10i	0.867154	−	0.152903i	0.589490	+	0.807776i	$0.299329\pi$
$384$	8.71761e11	−	5.03312e11i	2.04601	−	1.18126i
$385$	−1.85844e11	−	5.10602e11i	−0.431097	−	1.18443i
$386$	1.09473e12	−	3.98450e11i	2.50995	−	0.913548i
$387$	−4.04624e11	−	7.13461e10i	−0.916964	−	0.161686i
$388$	7.39208e11	+	8.80953e11i	1.65586	+	1.97338i
$389$	−1.14232e10	−	1.36137e10i	−0.0252939	−	0.0301441i	0.753249	−	0.657735i	$-0.228485\pi$
$389$	−1.14232e10	−	1.36137e10i	−0.0252939	−	0.0301441i	−0.778543	+	0.627591i	$0.784041\pi$
$390$	−8.79085e11	−	1.55006e11i	−1.92415	−	0.339280i
$391$	−2.80725e11	+	1.02175e11i	−0.607414	+	0.221081i
$392$	1.07201e11	+	2.94533e11i	0.229305	+	0.630010i
$393$	−4.47587e11	+	2.58415e11i	−0.946480	+	0.546450i
$394$	−6.29504e10	+	1.10999e10i	−0.131603	+	0.0232051i
$395$	2.06193e11	+	1.73016e11i	0.426173	+	0.357602i
$396$	−3.83414e11	+	6.64092e11i	−0.783501	+	1.35706i
$397$	6.79069e10	+	1.17618e11i	0.137201	+	0.237639i	0.926436	−	0.376452i	$-0.122856\pi$
$397$	6.79069e10	+	1.17618e11i	0.137201	+	0.237639i	−0.789235	+	0.614091i	$0.789523\pi$
$398$	2.79084e9	−	1.58276e10i	0.00557521	−	0.0316186i
$399$	8.82088e11	+	5.09274e11i	1.74234	+	1.00594i
$400$	−2.32596e11	−	8.46579e10i	−0.454288	−	0.165347i
$401$			2.14170e11i			0.413628i	0.978380	+	0.206814i	$0.0663095\pi$
$401$			2.14170e11i			0.413628i	−0.978380	+	0.206814i	$0.933691\pi$
$402$	4.87863e11	−	1.34039e12i	0.931710	−	2.55985i
$403$	−7.97368e9	−	4.52210e10i	−0.0150587	−	0.0854018i
$404$	1.32306e11	−	1.11018e11i	0.247095	−	0.207338i
$405$	−4.66914e11	+	5.56446e11i	−0.862361	+	1.02772i
$406$	−1.12231e12			−2.04995
$407$	2.12862e11	+	2.11924e11i	0.384524	+	0.382829i
$408$	−1.43623e12			−2.56598
$409$	−1.05712e11	+	1.25982e11i	−0.186796	+	0.222615i	−0.851313	−	0.524658i	$-0.824193\pi$
$409$	−1.05712e11	+	1.25982e11i	−0.186796	+	0.222615i	0.664516	+	0.747274i	$0.268638\pi$
$410$	−7.46715e11	+	6.26568e11i	−1.30505	+	1.09507i
$411$	−1.31658e11	−	7.46668e11i	−0.227593	−	1.29074i
$412$	3.39770e11	−	9.33511e11i	0.580962	−	1.59618i
$413$		−	7.28905e11i		−	1.23281i
$414$	5.81418e11	+	2.11619e11i	0.972717	+	0.354040i
$415$	1.00616e12	+	5.80908e11i	1.66514	+	0.961371i
$416$	5.32789e10	−	3.02160e11i	0.0872239	−	0.494671i
$417$	−9.29589e10	−	1.61009e11i	−0.150549	−	0.260759i
$418$	−2.31433e11	+	4.00855e11i	−0.370794	+	0.642234i
$419$	−6.75237e11	−	5.66591e11i	−1.07027	−	0.898062i	−0.0751923	−	0.997169i	$-0.523957\pi$
$419$	−6.75237e11	−	5.66591e11i	−1.07027	−	0.898062i	−0.995077	+	0.0991066i	$0.968402\pi$
$420$	−3.74089e12	+	6.59619e11i	−5.86614	+	1.03436i
$421$	−3.48447e11	+	2.01176e11i	−0.540590	+	0.312110i	−0.745318	−	0.666709i	$-0.767702\pi$
$421$	−3.48447e11	+	2.01176e11i	−0.540590	+	0.312110i	0.204728	+	0.978819i	$0.434369\pi$
$422$	2.80037e11	+	7.69396e11i	0.429843	+	1.18098i
$423$	−1.53186e12	+	5.57550e11i	−2.32641	+	0.846744i
$424$	8.25929e11	+	1.45634e11i	1.24107	+	0.218834i
$425$	1.57597e12	+	1.87816e12i	2.34313	+	2.79244i
$426$	5.20622e11	+	6.20453e11i	0.765912	+	0.912779i
$427$	8.53778e11	+	1.50544e11i	1.24285	+	0.219148i
$428$	−2.96432e11	+	1.07892e11i	−0.427000	+	0.155415i
$429$	9.42250e10	+	2.58881e11i	0.134310	+	0.369014i
$430$	8.00998e11	−	4.62456e11i	1.12986	−	0.652323i
$431$	5.76702e11	−	1.01688e11i	0.805015	−	0.141946i	0.244025	−	0.969769i	$-0.421532\pi$
$431$	5.76702e11	−	1.01688e11i	0.805015	−	0.141946i	0.560989	+	0.827823i	$0.310421\pi$
$432$	−2.21761e11	−	1.86080e11i	−0.306344	−	0.257053i
$433$	1.37482e11	−	2.38125e11i	0.187953	−	0.325544i	−0.756615	−	0.653861i	$-0.773148\pi$
$433$	1.37482e11	−	2.38125e11i	0.187953	−	0.325544i	0.944568	+	0.328317i	$0.106481\pi$
$434$	−1.62885e11	−	2.82125e11i	−0.220382	−	0.381714i
$435$	3.61220e11	−	2.04858e12i	0.483694	−	2.74316i
$436$	9.51898e11	+	5.49578e11i	1.26154	+	0.728351i
$437$	2.10508e11	+	7.66186e10i	0.276122	+	0.100500i
$438$			2.75837e12i			3.58112i
$439$	−2.90095e11	+	7.97029e11i	−0.372777	+	1.02420i	0.601505	+	0.798869i	$0.294568\pi$
$439$	−2.90095e11	+	7.97029e11i	−0.372777	+	1.02420i	−0.974283	+	0.225329i	$0.927654\pi$
$440$	−9.97695e10	−	5.65821e11i	−0.126900	−	0.719684i
$441$	9.96646e11	−	8.36285e11i	1.25478	−	1.05288i
$442$	−6.56020e11	+	7.81814e11i	−0.817555	+	0.974324i
$443$	−9.86877e11			−1.21744			−0.608718	−	0.793386i	$-0.708316\pi$
$443$	−9.86877e11			−1.21744			−0.608718	+	0.793386i	$0.708316\pi$
$444$	1.71741e12	−	1.20820e12i	2.09725	−	1.47543i
$445$	−8.79107e10			−0.106273
$446$	−1.23480e12	+	1.47158e12i	−1.47771	+	1.76107i
$447$	7.39999e11	−	6.20933e11i	0.876693	−	0.735633i
$448$	−3.27191e11	−	1.85559e12i	−0.383752	−	2.17637i
$449$	−2.70367e11	+	7.42827e11i	−0.313939	+	0.862539i	0.677913	+	0.735142i	$0.262885\pi$
$449$	−2.70367e11	+	7.42827e11i	−0.313939	+	0.862539i	−0.991852	+	0.127397i	$0.959338\pi$
$450$		−	5.07793e12i		−	5.83755i
$451$	2.82697e11	+	1.02893e11i	0.321756	+	0.117110i
$452$	−9.08708e11	−	5.24643e11i	−1.02400	−	0.591209i
$453$	1.06325e11	−	6.03002e11i	0.118630	−	0.672785i
$454$	6.85535e11	+	1.18738e12i	0.757318	+	1.31171i
$455$	−4.49209e11	+	7.78052e11i	−0.491357	+	0.851055i
$456$	8.25023e11	+	6.92276e11i	0.893561	+	0.749787i
$457$	−4.12661e11	+	7.27632e10i	−0.442558	+	0.0780350i	−0.390487	−	0.920608i	$-0.627693\pi$
$457$	−4.12661e11	+	7.27632e10i	−0.442558	+	0.0780350i	−0.0520712	+	0.998643i	$0.516582\pi$
$458$	−8.63390e11	+	4.98479e11i	−0.916880	+	0.529361i
$459$	9.80724e11	+	2.69452e12i	1.03131	+	2.83350i
$460$	−7.85073e11	+	2.85743e11i	−0.817522	+	0.297554i
$461$	−3.35729e11	−	5.91981e10i	−0.346206	−	0.0610455i	−0.00215849	−	0.999998i	$-0.500687\pi$
$461$	−3.35729e11	−	5.91981e10i	−0.346206	−	0.0610455i	−0.344048	+	0.938952i	$0.611798\pi$
$462$	1.25633e12	+	1.49724e12i	1.28297	+	1.52898i
$463$	3.86090e11	+	4.60124e11i	0.390458	+	0.465329i	0.925086	−	0.379758i	$-0.123993\pi$
$463$	3.86090e11	+	4.60124e11i	0.390458	+	0.465329i	−0.534628	+	0.845087i	$0.679548\pi$
$464$	2.36461e11	+	4.16945e10i	0.236826	+	0.0417588i
$465$	5.67397e11	−	2.06516e11i	0.562794	−	0.204840i
$466$	−3.50455e11	−	9.62867e11i	−0.344267	−	0.945866i
$467$	−1.27117e12	+	7.33912e11i	−1.23674	+	0.714033i	−0.968427	−	0.249299i	$-0.919800\pi$
$467$	−1.27117e12	+	7.33912e11i	−1.23674	+	0.714033i	−0.268314	+	0.963331i	$0.586467\pi$
$468$	1.24862e12	−	2.20165e11i	1.20316	−	0.212150i
$469$	−1.09976e12	−	9.22811e11i	−1.04959	−	0.880714i
$470$	1.83486e12	−	3.17807e12i	1.73445	−	3.00416i
$471$	−2.89679e11	−	5.01739e11i	−0.271221	−	0.469769i
$472$	1.33836e11	−	7.59020e11i	0.124118	−	0.703905i
$473$	−2.47210e11	−	1.42727e11i	−0.227086	−	0.131108i
$474$	−9.09798e11	−	3.31139e11i	−0.827832	−	0.301306i
$475$		−	1.83851e12i		−	1.65709i
$476$	−1.48541e12	+	4.08112e12i	−1.32621	+	3.64375i
$477$	−6.04505e11	−	3.42832e12i	−0.534647	−	3.03213i
$478$	1.20502e12	−	1.01113e12i	1.05577	−	0.885894i
$479$	−5.95440e11	+	7.09618e11i	−0.516807	+	0.615906i	−0.959823	−	0.280607i	$-0.909464\pi$
$479$	−5.95440e11	+	7.09618e11i	−0.516807	+	0.615906i	0.443016	+	0.896514i	$0.353909\pi$
$480$	4.03458e12			3.46907
$481$	4.21912e10	−	4.94839e11i	0.0359393	−	0.421513i
$482$	−1.78731e12			−1.50830
$483$	6.08038e11	−	7.24631e11i	0.508356	−	0.605836i
$484$	9.78078e11	−	8.20705e11i	0.810158	−	0.679803i
$485$	6.21065e11	+	3.52224e12i	0.509682	+	2.89055i
$486$	−1.60589e11	+	4.41214e11i	−0.130572	+	0.358745i
$487$			3.08339e11i			0.248398i	0.992257	+	0.124199i	$0.0396362\pi$
$487$			3.08339e11i			0.248398i	−0.992257	+	0.124199i	$0.960364\pi$
$488$	8.61410e11	+	3.13528e11i	0.687576	+	0.250257i
$489$	1.74135e12	+	1.00537e12i	1.37720	+	0.795127i
$490$	−5.08578e11	+	2.88429e12i	−0.398543	+	2.26025i
$491$	2.67254e11	+	4.62898e11i	0.207519	+	0.359433i	0.950932	−	0.309399i	$-0.100128\pi$
$491$	2.67254e11	+	4.62898e11i	0.207519	+	0.359433i	−0.743413	+	0.668832i	$0.766795\pi$
$492$	1.05155e12	−	1.82135e12i	0.809075	−	1.40136i
$493$	−1.82191e12	−	1.52876e12i	−1.38904	−	1.16554i
$494$	7.53683e11	−	1.32895e11i	0.569400	−	0.100401i
$495$	−2.06536e12	+	1.19244e12i	−1.54623	+	0.892714i
$496$	2.38375e10	+	6.54929e10i	0.0176845	+	0.0485877i
$497$	7.66019e11	−	2.78808e11i	0.563165	−	0.204975i
$498$	−4.11556e12	−	7.25684e11i	−2.99845	−	0.528707i
$499$	−8.67588e11	−	1.03395e12i	−0.626413	−	0.746531i	0.355746	−	0.934583i	$-0.384227\pi$
$499$	−8.67588e11	−	1.03395e12i	−0.626413	−	0.746531i	−0.982159	+	0.188052i	$0.939783\pi$
$500$	2.10780e12	+	2.51198e12i	1.50822	+	1.79743i
$501$	2.99356e12	+	5.27846e11i	2.12285	+	0.374315i
$502$	−2.67468e12	+	9.73505e11i	−1.87977	+	0.684182i
$503$	−2.65782e11	−	7.30229e11i	−0.185127	−	0.508631i	0.812061	−	0.583572i	$-0.198345\pi$
$503$	−2.65782e11	−	7.30229e11i	−0.185127	−	0.508631i	−0.997188	+	0.0749409i	$0.976123\pi$
$504$	2.59276e12	−	1.49693e12i	1.78988	−	1.03339i
$505$	5.28988e11	−	9.32749e10i	0.361939	−	0.0638195i
$506$	3.29300e11	+	2.76316e11i	0.223313	+	0.187382i
$507$	−1.04486e12	+	1.80975e12i	−0.702301	+	1.21642i
$508$	−1.22812e12	−	2.12717e12i	−0.818190	−	1.41715i
$509$	4.62437e11	−	2.62261e12i	0.305367	−	1.73182i	−0.316405	−	0.948624i	$-0.602476\pi$
$509$	4.62437e11	−	2.62261e12i	0.305367	−	1.73182i	0.621772	−	0.783199i	$-0.286413\pi$
$510$	−1.16223e13	−	6.71016e12i	−7.60725	−	4.39205i
$511$	2.60878e12	+	9.49517e11i	1.69256	+	0.616040i
$512$			7.75008e11i			0.498416i
$513$	7.35419e11	−	2.02055e12i	0.468820	−	1.28807i
$514$	8.57999e11	+	4.86595e12i	0.542191	+	3.07492i
$515$	2.36677e12	−	1.98595e12i	1.48260	−	1.24405i
$516$	−1.28271e12	+	1.52868e12i	−0.796537	+	0.949275i
$517$	−1.13258e12			−0.697204
$518$	−9.19435e11	−	3.40130e12i	−0.561096	−	2.07568i
$519$	−3.58405e11			−0.216831
$520$	−6.10627e11	+	7.27717e11i	−0.366236	+	0.436463i
$521$	1.98701e12	−	1.66730e12i	1.18149	−	0.991391i	0.181525	−	0.983386i	$-0.441897\pi$
$521$	1.98701e12	−	1.66730e12i	1.18149	−	0.991391i	0.999968	−	0.00800423i	$-0.00254785\pi$
$522$	8.55362e11	+	4.85100e12i	0.504235	+	2.85966i
$523$	6.37286e11	−	1.75093e12i	0.372457	−	1.02332i	−0.601951	−	0.798533i	$-0.705610\pi$
$523$	6.37286e11	−	1.75093e12i	0.372457	−	1.02332i	0.974408	−	0.224785i	$-0.0721680\pi$
$524$			1.65252e12i			0.957538i
$525$	−7.29514e12	−	2.65521e12i	−4.19099	−	1.52540i
$526$	1.14904e12	+	6.63401e11i	0.654486	+	0.377868i
$527$	1.19879e11	−	6.79866e11i	0.0677009	−	0.383951i
$528$	−2.09076e11	−	3.62130e11i	−0.117072	−	0.202774i
$529$	−7.96552e11	+	1.37967e12i	−0.442246	+	0.765992i
$530$	6.00321e12	+	5.03729e12i	3.30478	+	2.77304i
$531$	−3.15059e12	+	5.55533e11i	−1.71975	+	0.303239i
$532$	2.82041e12	−	1.62836e12i	1.52654	−	0.881351i
$533$	−1.70125e11	−	4.67415e11i	−0.0913054	−	0.250859i
$534$	2.97144e11	−	1.08152e11i	0.158136	−	0.0575569i
$535$	−9.66181e11	−	1.70364e11i	−0.509878	−	0.0899053i
$536$	−9.75761e11	−	1.16287e12i	−0.510625	−	0.608539i
$537$	6.10574e11	+	7.27653e11i	0.316850	+	0.377607i
$538$	−1.68379e12	−	2.96897e11i	−0.866496	−	0.152787i
$539$	8.49392e11	−	3.09153e11i	0.433470	−	0.157770i
$540$	2.74269e12	+	7.53547e12i	1.38805	+	3.81363i
$541$	4.67675e11	−	2.70012e11i	0.234723	−	0.135518i	−0.378026	−	0.925795i	$-0.623397\pi$
$541$	4.67675e11	−	2.70012e11i	0.234723	−	0.135518i	0.612749	+	0.790278i	$0.290064\pi$
$542$	−8.22540e11	+	1.45036e11i	−0.409412	+	0.0721904i
$543$	3.76089e12	+	3.15576e12i	1.85648	+	1.55777i
$544$	2.30642e12	−	3.99484e12i	1.12913	−	1.95571i
$545$	1.70922e12	+	2.96045e12i	0.829877	+	1.43739i
$546$	5.61162e11	−	3.18251e12i	0.270222	−	1.53251i
$547$	1.50947e12	+	8.71492e11i	0.720910	+	0.416218i	0.815088	−	0.579338i	$-0.196689\pi$
$547$	1.50947e12	+	8.71492e11i	0.720910	+	0.416218i	−0.0941774	+	0.995555i	$0.530022\pi$
$548$	−2.27804e12	−	8.29140e11i	−1.07907	−	0.392749i
$549$		−	3.80507e12i		−	1.78767i
$550$	1.20663e12	−	3.31519e12i	0.562266	−	1.54481i
$551$	3.09692e11	+	1.75635e12i	0.143136	+	0.811763i
$552$	7.66209e11	−	6.42926e11i	0.351254	−	0.294737i
$553$	−6.26362e11	+	7.46469e11i	−0.284815	+	0.339429i
$554$	6.51569e12			2.93878
$555$	6.50443e12	−	5.83549e11i	2.90999	−	0.261071i
$556$	−5.94457e11			−0.263806
$557$	1.26583e12	−	1.50855e12i	0.557219	−	0.664068i	−0.411736	−	0.911303i	$-0.635078\pi$
$557$	1.26583e12	−	1.50855e12i	0.557219	−	0.664068i	0.968956	+	0.247235i	$0.0795220\pi$
$558$	−1.09530e12	+	9.19067e11i	−0.478277	+	0.401322i
$559$	8.19572e10	+	4.64802e11i	0.0355005	+	0.201333i
$560$	4.66391e11	−	1.28140e12i	0.200403	−	0.550602i
$561$			4.14188e12i			1.76549i
$562$	−2.90454e12	−	1.05717e12i	−1.22819	−	0.447024i
$563$	1.41091e12	+	8.14591e11i	0.591851	+	0.341705i	0.765829	−	0.643044i	$-0.222329\pi$
$563$	1.41091e12	+	8.14591e11i	0.591851	+	0.341705i	−0.173978	+	0.984750i	$0.555662\pi$
$564$	−1.37488e12	+	7.79731e12i	−0.572147	+	3.24481i
$565$	−1.63167e12	−	2.82613e12i	−0.673618	−	1.16674i
$566$	2.30185e12	−	3.98692e12i	0.942763	−	1.63291i
$567$	−2.01448e12	−	1.69035e12i	−0.818537	−	0.686834i
$568$	8.48860e11	−	1.49677e11i	0.342191	−	0.0603375i
$569$	−1.10855e12	+	6.40023e11i	−0.443354	+	0.255971i	−0.705019	−	0.709188i	$-0.749062\pi$
$569$	−1.10855e12	+	6.40023e11i	−0.443354	+	0.255971i	0.261665	+	0.965159i	$0.415728\pi$
$570$	3.44193e12	+	9.45663e12i	1.36573	+	3.75232i
$571$	1.09793e12	−	3.99613e11i	0.432226	−	0.157318i	−0.116739	−	0.993163i	$-0.537244\pi$
$571$	1.09793e12	−	3.99613e11i	0.432226	−	0.157318i	0.548965	+	0.835845i	$0.315022\pi$
$572$	8.67493e11	+	1.52962e11i	0.338831	+	0.0597451i
$573$	3.02032e12	+	3.59947e12i	1.17046	+	1.39490i
$574$	−2.26833e12	−	2.70329e12i	−0.872174	−	1.03942i
$575$	−1.68151e12	−	2.96496e11i	−0.641497	−	0.113113i
$576$	−7.77116e12	+	2.82847e12i	−2.94161	+	1.07066i
$577$	5.92507e11	+	1.62790e12i	0.222537	+	0.611416i	0.999843	−	0.0177067i	$-0.00563651\pi$
$577$	5.92507e11	+	1.62790e12i	0.222537	+	0.611416i	−0.777306	+	0.629123i	$0.783414\pi$
$578$	−9.61464e12	+	5.55101e12i	−3.58309	+	2.06870i
$579$	−7.69845e12	+	1.35744e12i	−2.84675	+	0.501959i
$580$	−5.09513e12	−	4.27533e12i	−1.86952	−	1.56871i
$581$	−2.10303e12	+	3.64256e12i	−0.765691	+	1.32622i
$582$	−6.43245e12	−	1.11413e13i	−2.32393	−	4.02517i
$583$	4.19986e11	−	2.38186e12i	0.150566	−	0.853902i
$584$	2.54222e12	+	1.46775e12i	0.904388	+	0.522148i
$585$	3.70538e12	+	1.34865e12i	1.30807	+	0.476099i
$586$		−	3.88003e12i		−	1.35924i
$587$	−1.09355e12	+	3.00452e12i	−0.380162	+	1.04449i	0.591125	+	0.806580i	$0.298684\pi$
$587$	−1.09355e12	+	3.00452e12i	−0.380162	+	1.04449i	−0.971288	+	0.237908i	$0.923538\pi$
$588$	−1.09728e12	−	6.22300e12i	−0.378548	−	2.14685i
$589$	−3.96564e11	+	3.32757e11i	−0.135767	+	0.113922i
$590$	4.62922e12	−	5.51689e12i	1.57280	−	1.87439i
$591$	4.28920e11			0.144621
$592$	6.73572e10	+	7.50786e11i	0.0225391	+	0.251228i
$593$	−2.38879e12			−0.793291			−0.396646	−	0.917972i	$-0.629826\pi$
$593$	−2.38879e12			−0.793291			−0.396646	+	0.917972i	$0.629826\pi$
$594$	2.65220e12	−	3.16077e12i	0.874112	−	1.04173i
$595$	−1.03470e13	+	8.68219e12i	−3.38446	+	2.83990i
$596$	−5.36349e11	−	3.04179e12i	−0.174116	−	0.987462i
$597$	−3.68847e10	+	1.01340e11i	−0.0118840	+	0.0326509i
$598$		−	7.10753e11i		−	0.227281i
$599$	−4.10913e12	−	1.49560e12i	−1.30416	−	0.474674i	−0.405808	−	0.913958i	$-0.633010\pi$
$599$	−4.10913e12	−	1.49560e12i	−1.30416	−	0.474674i	−0.898348	+	0.439284i	$0.855232\pi$
$600$	−7.10901e12	−	4.10439e12i	−2.23938	−	1.29291i
$601$	4.71817e11	−	2.67581e12i	0.147516	−	0.836604i	−0.817797	−	0.575507i	$-0.804805\pi$
$601$	4.71817e11	−	2.67581e12i	0.147516	−	0.836604i	0.965313	−	0.261097i	$-0.0840841\pi$
$602$	1.67421e12	+	2.89981e12i	0.519547	+	0.899882i
$603$	−3.15053e12	+	5.45688e12i	−0.970412	+	1.68080i
$604$	−1.49976e12	−	1.25845e12i	−0.458516	−	0.384741i
$605$	3.91056e12	−	6.89538e11i	1.18670	−	0.209247i
$606$	−1.67327e12	+	9.66061e11i	−0.504009	+	0.290990i
$607$	−1.42682e12	−	3.92017e12i	−0.426601	−	1.17208i	−0.947863	−	0.318679i	$-0.896761\pi$
$607$	−1.42682e12	−	3.92017e12i	−0.426601	−	1.17208i	0.521262	−	0.853397i	$-0.325461\pi$
$608$	−3.25044e12	+	1.18306e12i	−0.964664	+	0.351109i
$609$	7.41638e12	+	1.30771e12i	2.18481	+	0.385241i
$610$	5.50592e12	+	6.56170e12i	1.61007	+	1.91881i
$611$	1.20369e12	+	1.43451e12i	0.349406	+	0.416406i
$612$	1.87721e13	+	3.31003e12i	5.40919	+	0.953786i
$613$	−3.95071e12	+	1.43794e12i	−1.13006	+	0.411310i	−0.838316	−	0.545185i	$-0.816459\pi$
$613$	−3.95071e12	+	1.43794e12i	−1.13006	+	0.411310i	−0.291749	+	0.956495i	$0.594237\pi$
$614$	−1.10099e12	−	3.02494e12i	−0.312626	−	0.858933i
$615$	5.66449e12	−	3.27039e12i	1.59670	−	0.921854i
$616$	2.04841e12	−	3.61191e11i	0.573198	−	0.101070i
$617$	1.63173e12	+	1.36918e12i	0.453277	+	0.380345i	0.840650	−	0.541578i	$-0.182173\pi$
$617$	1.63173e12	+	1.36918e12i	0.453277	+	0.380345i	−0.387373	+	0.921923i	$0.626617\pi$
$618$	−5.55663e12	+	9.62437e12i	−1.53237	+	2.65414i
$619$	2.76011e12	+	4.78065e12i	0.755647	+	1.30882i	0.945052	+	0.326919i	$0.106011\pi$
$619$	2.76011e12	+	4.78065e12i	0.755647	+	1.30882i	−0.189406	+	0.981899i	$0.560656\pi$
$620$	3.35252e11	−	1.90131e12i	0.0911190	−	0.516762i
$621$	−1.72940e12	−	9.98469e11i	−0.466641	−	0.269415i
$622$	4.20182e12	+	1.52934e12i	1.12559	+	0.409681i
$623$		−	3.18259e11i		−	0.0846417i
$624$	−2.36465e11	+	6.49683e11i	−0.0624362	+	0.171542i
$625$	5.01329e11	+	2.84318e12i	0.131420	+	0.745322i
$626$	−4.83527e12	+	4.05728e12i	−1.25845	+	1.05597i
$627$	1.99643e12	−	2.37925e12i	0.515881	−	0.614803i
$628$	−1.85245e12			−0.475258
$629$	3.14054e12	−	6.77396e12i	0.799976	−	1.72550i
$630$	2.79749e13			7.07517
$631$	9.98782e11	−	1.19030e12i	0.250806	−	0.298899i	−0.625922	−	0.779886i	$-0.715277\pi$
$631$	9.98782e11	−	1.19030e12i	0.250806	−	0.298899i	0.876728	+	0.480987i	$0.159721\pi$
$632$	−7.89301e11	+	6.62302e11i	−0.196796	+	0.165131i
$633$	−9.54034e11	−	5.41059e12i	−0.236182	−	1.33946i
$634$	1.44729e12	−	3.97640e12i	0.355758	−	0.977437i
$635$		−	7.63904e12i		−	1.86448i
$636$	−1.58883e13	−	5.78286e12i	−3.85052	−	1.40148i
$637$	−1.29430e12	−	7.47263e11i	−0.311463	−	0.179823i
$638$	−5.94272e11	+	3.37029e12i	−0.142001	+	0.805330i
$639$	−1.78893e12	−	3.09851e12i	−0.424462	−	0.735190i
$640$	5.00501e12	−	8.66893e12i	1.17922	−	2.04247i
$641$	1.10069e12	+	9.23589e11i	0.257516	+	0.216082i	0.762401	−	0.647105i	$-0.224021\pi$
$641$	1.10069e12	+	9.23589e11i	0.257516	+	0.216082i	−0.504885	+	0.863187i	$0.668465\pi$
$642$	3.47535e12	−	6.12798e11i	0.807404	−	0.142367i
$643$	−1.44455e12	+	8.34014e11i	−0.333261	+	0.192408i	−0.657288	−	0.753639i	$-0.728297\pi$
$643$	−1.44455e12	+	8.34014e11i	−0.333261	+	0.192408i	0.324027	+	0.946048i	$0.394963\pi$
$644$	−1.03446e12	−	2.84216e12i	−0.236989	−	0.651122i
$645$	−5.83198e12	+	2.12267e12i	−1.32677	+	0.482906i
$646$	1.13311e13	+	1.99798e12i	2.55992	+	0.451382i
$647$	−3.23407e12	−	3.85421e12i	−0.725571	−	0.864701i	0.269589	−	0.962976i	$-0.413112\pi$
$647$	−3.23407e12	−	3.85421e12i	−0.725571	−	0.864701i	−0.995159	+	0.0982741i	$0.968668\pi$
$648$	−1.78734e12	−	2.13006e12i	−0.398216	−	0.474575i
$649$	−2.18891e12	−	3.85963e11i	−0.484313	−	0.0853974i
$650$	−5.48137e12	+	1.99506e12i	−1.20442	+	0.438374i
$651$	7.47639e11	+	2.05412e12i	0.163146	+	0.448241i
$652$	5.56784e12	−	3.21460e12i	1.20663	−	0.696646i
$653$	−4.37642e12	+	7.71680e11i	−0.941910	+	0.166084i	−0.623460	−	0.781855i	$-0.714273\pi$
$653$	−4.37642e12	+	7.71680e11i	−0.941910	+	0.166084i	−0.318450	+	0.947940i	$0.603162\pi$
$654$	−9.41936e12	−	7.90378e12i	−2.01336	−	1.68941i
$655$	−2.56972e12	+	4.45088e12i	−0.545506	+	0.944844i
$656$	3.77491e11	+	6.53834e11i	0.0795865	+	0.137848i
$657$	2.11588e12	−	1.19997e13i	0.443043	−	2.51262i
$658$	1.15054e13	+	6.64264e12i	2.39268	+	1.38142i
$659$	−9.82200e11	−	3.57491e11i	−0.202869	−	0.0738382i	0.238587	−	0.971121i	$-0.423316\pi$
$659$	−9.82200e11	−	3.57491e11i	−0.202869	−	0.0738382i	−0.441456	+	0.897283i	$0.645538\pi$
$660$			1.15832e13i			2.37618i
$661$	1.70775e12	−	4.69200e12i	0.347951	−	0.955987i	−0.635064	−	0.772460i	$-0.719026\pi$
$661$	1.70775e12	−	4.69200e12i	0.347951	−	0.955987i	0.983015	−	0.183527i	$-0.0587515\pi$
$662$	8.59685e11	+	4.87551e12i	0.173972	+	0.986642i
$663$	5.24606e12	−	4.40196e12i	1.05444	−	0.884781i
$664$	−2.85874e12	+	3.40691e12i	−0.570713	+	0.680150i
$665$	1.01286e13			2.00841
$666$	−1.40009e13	+	6.56642e12i	−2.75753	+	1.29329i
$667$	1.65631e12			0.324023
$668$	6.24747e12	−	7.44545e12i	1.21398	−	1.44676i
$669$	9.87443e12	−	8.28563e12i	1.90587	−	1.59922i
$670$	−2.46311e12	−	1.39690e13i	−0.472224	−	2.67812i
$671$	9.04169e11	−	2.48418e12i	0.172186	−	0.473078i
$672$			1.46062e13i			2.76296i
$673$	1.60259e12	+	5.83294e11i	0.301130	+	0.109602i	0.488166	−	0.872751i	$-0.337666\pi$
$673$	1.60259e12	+	5.83294e11i	0.301130	+	0.109602i	−0.187036	+	0.982353i	$0.559888\pi$
$674$	3.19205e10	+	1.84293e10i	0.00595799	+	0.00343985i
$675$	−2.84590e12	+	1.61399e13i	−0.527658	+	2.99250i
$676$	3.34086e12	+	5.78655e12i	0.615317	+	1.06576i
$677$	−4.68651e12	+	8.11727e12i	−0.857433	+	1.48512i	0.0169365	+	0.999857i	$0.494609\pi$
$677$	−4.68651e12	+	8.11727e12i	−0.857433	+	1.48512i	−0.874369	+	0.485261i	$0.838725\pi$
$678$	8.99198e12	+	7.54517e12i	1.63426	+	1.37131i
$679$	−1.27514e13	+	2.24841e12i	−2.30220	+	0.405940i
$680$	−1.23687e13	+	7.14105e12i	−2.21836	+	1.28077i
$681$	−3.14660e12	−	8.64520e12i	−0.560633	−	1.54033i
$682$	−9.33471e11	+	3.39756e11i	−0.165223	+	0.0601364i
$683$	8.58198e12	+	1.51323e12i	1.50902	+	0.266080i	0.866106	−	0.499861i	$-0.166615\pi$
$683$	8.58198e12	+	1.51323e12i	1.50902	+	0.266080i	0.642911	+	0.765941i	$0.277727\pi$
$684$	−9.18793e12	−	1.09497e13i	−1.60496	−	1.91272i
$685$	−4.84632e12	−	5.77561e12i	−0.841016	−	1.00228i
$686$	1.84061e12	+	3.24550e11i	0.317325	+	0.0559530i
$687$	6.28625e12	−	2.28801e12i	1.07668	−	0.391879i
$688$	−2.45013e11	−	6.73167e11i	−0.0416908	−	0.114545i
$689$	−3.46319e12	+	1.99947e12i	−0.585450	+	0.338010i
$690$	9.20414e12	−	1.62294e12i	1.54583	−	0.272572i
$691$	−6.32978e12	−	5.31132e12i	−1.05618	−	0.886240i	−0.0624494	−	0.998048i	$-0.519891\pi$
$691$	−6.32978e12	−	5.31132e12i	−1.05618	−	0.886240i	−0.993730	+	0.111809i	$0.964336\pi$
$692$	−5.72986e11	+	9.92440e11i	−0.0949875	+	0.164523i
$693$	−4.31693e12	−	7.47713e12i	−0.711009	−	1.23150i
$694$	−4.55904e11	+	2.58556e12i	−0.0746030	+	0.423094i
$695$	−1.60110e12	−	9.24398e11i	−0.260308	−	0.150289i
$696$	7.48267e12	+	2.72347e12i	1.20869	+	0.439928i
$697$		−	7.47826e12i		−	1.20020i
$698$	2.55180e12	−	7.01102e12i	0.406909	−	1.11797i
$699$	1.19393e12	+	6.77113e12i	0.189162	+	1.07279i
$700$	−1.90152e13	+	1.59557e13i	−2.99337	+	2.51174i
$701$	−4.15187e12	+	4.94801e12i	−0.649401	+	0.773925i	−0.985824	−	0.167786i	$-0.946338\pi$
$701$	−4.15187e12	+	4.94801e12i	−0.649401	+	0.773925i	0.336423	+	0.941711i	$0.390783\pi$
$702$	−6.82212e12			−1.06024
$703$	−5.06915e12	+	2.37743e12i	−0.782773	+	0.367121i
$704$	−5.74560e12			−0.881574
$705$	−1.58281e13	+	1.88632e13i	−2.41312	+	2.87584i
$706$	6.18854e12	−	5.19280e12i	0.937490	−	0.786648i
$707$	3.37679e11	+	1.91507e12i	0.0508295	+	0.288269i
$708$	−5.31439e12	+	1.46012e13i	−0.794884	+	2.18392i
$709$			1.61452e12i			0.239958i	0.992776	+	0.119979i	$0.0382827\pi$
$709$			1.61452e12i			0.239958i	−0.992776	+	0.119979i	$0.961717\pi$
$710$	7.56848e12	+	2.75470e12i	1.11775	+	0.406829i
$711$	3.70388e12	+	2.13844e12i	0.543556	+	0.313822i
$712$	5.84361e10	−	3.31408e11i	0.00852160	−	0.0483284i
$713$	2.40387e11	+	4.16363e11i	0.0348344	+	0.0603350i
$714$	2.42925e13	−	4.20758e13i	3.49808	−	6.05885i
$715$	2.09863e12	+	1.76096e12i	0.300303	+	0.251984i
$716$	2.99104e12	−	5.27401e11i	0.425318	−	0.0749950i
$717$	−9.14113e12	+	5.27763e12i	−1.29171	+	0.745766i
$718$	1.10288e12	+	3.03013e12i	0.154870	+	0.425502i
$719$	−1.24014e13	+	4.51374e12i	−1.73058	+	0.629878i	−0.998672	−	0.0515286i	$-0.983591\pi$
$719$	−1.24014e13	+	4.51374e12i	−1.73058	+	0.629878i	−0.731905	+	0.681407i	$0.761368\pi$
$720$	−5.89411e12	−	1.03929e12i	−0.817376	−	0.144126i
$721$	7.18966e12	+	8.56830e12i	0.990831	+	1.18083i
$722$	1.87326e12	+	2.23246e12i	0.256555	+	0.305750i
$723$	1.18108e13	+	2.08257e12i	1.60753	+	0.283450i
$724$	1.47510e13	−	5.36893e12i	1.99526	−	0.726214i
$725$	−4.64920e12	−	1.27736e13i	−0.624967	−	1.71708i
$726$	−1.23697e13	+	7.14163e12i	−1.65251	+	0.954075i
$727$	−4.05320e12	+	7.14688e11i	−0.538137	+	0.0948881i	−0.436110	−	0.899893i	$-0.643644\pi$
$727$	−4.05320e12	+	7.14688e11i	−0.538137	+	0.0948881i	−0.102028	+	0.994782i	$0.532533\pi$
$728$	−2.63452e12	−	2.21062e12i	−0.347624	−	0.291692i
$729$	4.57050e12	−	7.91633e12i	0.599362	−	1.03813i
$730$	1.37148e13	+	2.37548e13i	1.78746	+	3.09598i
$731$	−1.23217e12	+	6.98798e12i	−0.159603	+	0.905156i
$732$	−1.60050e13	−	9.24047e12i	−2.06041	−	1.18958i
$733$	−2.16210e12	−	7.86939e11i	−0.276635	−	0.100687i	0.199977	−	0.979801i	$-0.435913\pi$
$733$	−2.16210e12	−	7.86939e11i	−0.276635	−	0.100687i	−0.476612	+	0.879114i	$0.658135\pi$
$734$			3.80421e12i			0.483762i
$735$	6.72153e12	−	1.84673e13i	0.849523	−	2.33405i
$736$	5.57838e11	+	3.16366e12i	0.0700742	+	0.397410i
$737$	−3.35354e12	+	2.81396e12i	−0.418697	+	0.351329i
$738$	−9.95579e12	+	1.18648e13i	−1.23544	+	1.47234i
$739$	1.37099e13			1.69097			0.845483	−	0.534003i	$-0.179313\pi$
$739$	1.37099e13			1.69097			0.845483	+	0.534003i	$0.179313\pi$
$740$	8.78283e12	−	1.89440e13i	1.07669	−	2.32236i
$741$	−5.13531e12			−0.625727
$742$	−1.82363e13	+	2.17331e13i	−2.20861	+	2.63211i
$743$	−1.09603e13	+	9.19676e12i	−1.31938	+	1.10710i	−0.332950	+	0.942945i	$0.608044\pi$
$743$	−1.09603e13	+	9.19676e12i	−1.31938	+	1.10710i	−0.986435	+	0.164151i	$0.947512\pi$
$744$	4.01366e11	+	2.27626e12i	0.0480245	+	0.272360i
$745$	3.28547e12	−	9.02674e12i	0.390745	−	1.07356i
$746$		−	1.92318e13i		−	2.27350i
$747$	1.73473e13	+	6.31388e12i	2.03839	+	0.741915i
$748$	1.14691e13	+	6.62167e12i	1.33959	+	0.773412i
$749$	6.16760e11	−	3.49782e12i	0.0716057	−	0.406096i
$750$	−1.83417e13	−	3.17688e13i	−2.11673	−	3.66628i
$751$	3.31293e12	−	5.73817e12i	0.380043	−	0.658254i	−0.611025	−	0.791611i	$-0.709243\pi$
$751$	3.31293e12	−	5.73817e12i	0.380043	−	0.658254i	0.991068	+	0.133358i	$0.0425759\pi$
$752$	−2.17732e12	−	1.82699e12i	−0.248280	−	0.208332i
$753$	1.88091e13	−	3.31655e12i	2.13201	−	0.375931i
$754$	4.90035e12	−	2.82922e12i	0.552149	−	0.318783i
$755$	−2.08251e12	−	5.72164e12i	−0.233252	−	0.640855i
$756$	−2.72803e13	+	9.92922e12i	−3.03739	+	1.10552i
$757$	−4.77979e12	−	8.42805e11i	−0.529026	−	0.0932815i	−0.0972457	−	0.995260i	$-0.531003\pi$
$757$	−4.77979e12	−	8.42805e11i	−0.529026	−	0.0932815i	−0.431780	+	0.901979i	$0.642114\pi$
$758$	−1.65948e13	−	1.97769e13i	−1.82583	−	2.17594i
$759$	−1.85411e12	−	2.20964e12i	−0.202790	−	0.241676i
$760$	1.05471e13	+	1.85973e12i	1.14675	+	0.202204i
$761$	1.49395e12	−	5.43755e11i	0.161475	−	0.0587723i	−0.260018	−	0.965604i	$-0.583728\pi$
$761$	1.49395e12	−	5.43755e11i	0.161475	−	0.0587723i	0.421493	+	0.906832i	$0.361506\pi$
$762$	9.39789e12	+	2.58205e13i	1.00979	+	2.77439i
$763$	−1.07176e13	+	6.18780e12i	−1.14482	+	0.660961i
$764$	1.47957e13	−	2.60889e12i	1.57114	−	0.277035i
$765$	4.54134e13	+	3.81064e13i	4.79411	+	4.02274i
$766$	−6.63158e12	+	1.14862e13i	−0.695965	+	1.20545i
$767$	1.83750e12	+	3.18264e12i	0.191711	+	0.332054i
$768$	−1.59903e12	+	9.06856e12i	−0.165856	+	0.940617i
$769$	−1.67087e12	−	9.64680e11i	−0.172296	−	0.0994751i	0.411372	−	0.911468i	$-0.365050\pi$
$769$	−1.67087e12	−	9.64680e11i	−0.172296	−	0.0994751i	−0.583668	+	0.811992i	$0.698383\pi$
$770$	1.82638e13	+	6.64747e12i	1.87233	+	0.681472i
$771$		−	3.31548e13i		−	3.37910i
$772$	−8.54877e12	+	2.34875e13i	−0.866215	+	2.37991i
$773$	9.86545e11	+	5.59497e12i	0.0993823	+	0.563625i	0.993316	+	0.115426i	$0.0368233\pi$
$773$	9.86545e11	+	5.59497e12i	0.0993823	+	0.563625i	−0.893934	+	0.448199i	$0.852066\pi$
$774$	1.12580e13	−	9.44660e12i	1.12753	−	0.946109i
$775$	2.53626e12	−	3.02259e12i	0.252543	−	0.300969i
$776$	−1.36910e13			−1.35537
$777$	2.11259e12	+	2.35477e13i	0.207932	+	2.31768i
$778$	6.35667e11			0.0622045
$779$	−3.60459e12	+	4.29578e12i	−0.350701	+	0.417949i
$780$	1.46711e13	−	1.23105e13i	1.41918	−	1.19083i
$781$	−4.31647e11	−	2.44799e12i	−0.0415144	−	0.235440i
$782$	3.65472e12	−	1.00413e13i	0.349481	−	0.960191i
$783$		−	1.58980e13i		−	1.51152i
$784$	2.13162e12	+	7.75845e11i	0.201506	+	0.0733420i
$785$	−4.98937e12	−	2.88062e12i	−0.468957	−	0.270752i
$786$	3.21015e12	−	1.82057e13i	0.300002	−	1.70139i
$787$	−2.71056e11	−	4.69482e11i	−0.0251867	−	0.0436247i	0.853157	−	0.521654i	$-0.174685\pi$
$787$	−2.71056e11	−	4.69482e11i	−0.0251867	−	0.0436247i	−0.878344	+	0.478029i	$0.841351\pi$
$788$	6.85719e11	−	1.18770e12i	0.0633546	−	0.109733i
$789$	−6.82008e12	−	5.72272e12i	−0.626531	−	0.525722i
$790$	−9.48153e12	+	1.67185e12i	−0.866077	+	0.152713i
$791$	1.02313e13	−	5.90705e12i	0.929259	−	0.536508i
$792$	−3.12239e12	−	8.57869e12i	−0.281983	−	0.774743i
$793$	−4.10738e12	+	1.49496e12i	−0.368838	+	0.134246i
$794$	−4.78413e12	−	8.43572e11i	−0.427180	−	0.0753234i
$795$	−3.38008e13	−	4.02822e13i	−3.00106	−	3.57652i
$796$	2.21647e11	+	2.64148e11i	0.0195683	+	0.0233206i
$797$	−1.97847e12	−	3.48857e11i	−0.173687	−	0.0306257i	0.0861283	−	0.996284i	$-0.472550\pi$
$797$	−1.97847e12	−	3.48857e11i	−0.173687	−	0.0306257i	−0.259815	+	0.965658i	$0.583662\pi$
$798$	−3.42354e13	+	1.24607e13i	−2.98856	+	1.08775i
$799$	9.62906e12	+	2.64556e13i	0.835840	+	2.29645i
$800$	2.28325e13	−	1.31823e13i	1.97083	−	1.13786i
$801$	−1.37563e12	+	2.42560e11i	−0.118074	+	0.0208196i
$802$	−5.86842e12	−	4.92419e12i	−0.500883	−	0.420291i
$803$	4.23278e12	−	7.33139e12i	0.359257	−	0.622252i
$804$	1.53019e13	+	2.65037e13i	1.29150	+	2.23694i
$805$	1.63343e12	−	9.26365e12i	0.137094	−	0.777501i
$806$	1.42242e12	+	8.21233e11i	0.118719	+	0.0685423i
$807$	1.07808e13	+	3.92388e12i	0.894787	+	0.325676i
$808$			2.05619e12i			0.169712i
$809$	−5.89159e12	+	1.61870e13i	−0.483575	+	1.32861i	0.422833	+	0.906208i	$0.361036\pi$
$809$	−5.89159e12	+	1.61870e13i	−0.483575	+	1.32861i	−0.906408	+	0.422404i	$0.861186\pi$
$810$	−4.51177e12	−	2.55875e13i	−0.368269	−	2.08856i
$811$	−1.19118e13	+	9.99523e12i	−0.966908	+	0.811333i	−0.982063	−	0.188553i	$-0.939620\pi$
$811$	−1.19118e13	+	9.99523e12i	−0.966908	+	0.811333i	0.0151547	+	0.999885i	$0.495176\pi$
$812$	1.54778e13	−	1.84457e13i	1.24941	−	1.48899i
$813$	5.60448e12			0.449912
$814$	−1.07010e13	+	9.60044e11i	−0.854305	+	0.0766445i
$815$	1.99951e13			1.58751
$816$	−6.68138e12	+	7.96256e12i	−0.527546	+	0.628705i
$817$	4.07607e12	−	3.42023e12i	0.320068	−	0.268569i
$818$	−1.02149e12	−	5.79316e12i	−0.0797708	−	0.452403i
$819$	−4.88244e12	+	1.34144e13i	−0.379193	+	1.04182i
$820$		−	2.09137e13i		−	1.61535i
$821$	3.93098e12	+	1.43076e12i	0.301965	+	0.109906i	0.488559	−	0.872531i	$-0.337523\pi$
$821$	3.93098e12	+	1.43076e12i	0.301965	+	0.109906i	−0.186594	+	0.982437i	$0.559745\pi$
$822$	2.34863e13	+	1.35598e13i	1.79428	+	1.03593i
$823$	2.62528e11	−	1.48887e12i	0.0199469	−	0.113125i	−0.973209	−	0.229924i	$-0.926152\pi$
$823$	2.62528e11	−	1.48887e12i	0.0199469	−	0.113125i	0.993156	+	0.116799i	$0.0372634\pi$
$824$	5.91345e12	+	1.02424e13i	0.446857	+	0.773979i
$825$	−1.18365e13	+	2.05014e13i	−0.889568	+	1.54078i
$826$	1.99725e13	+	1.67589e13i	1.49287	+	1.25267i
$827$	−3.03704e11	+	5.35512e10i	−0.0225775	+	0.00398102i	−0.184926	−	0.982753i	$-0.559204\pi$
$827$	−3.03704e11	+	5.35512e10i	−0.0225775	+	0.00398102i	0.162348	+	0.986734i	$0.448093\pi$
$828$	−1.14964e13	+	6.63746e12i	−0.850013	+	0.490755i
$829$	−6.61916e12	−	1.81860e13i	−0.486752	−	1.33734i	−0.903606	−	0.428365i	$-0.859090\pi$
$829$	−6.61916e12	−	1.81860e13i	−0.486752	−	1.33734i	0.416854	−	0.908973i	$-0.363133\pi$
$830$	−3.90509e13	+	1.42134e13i	−2.85614	+	1.03955i
$831$	−4.30568e13	−	7.59207e12i	−3.13211	−	0.552275i
$832$	6.10639e12	+	7.27731e12i	0.441804	+	0.526521i
$833$	−1.44429e13	−	1.72124e13i	−1.03933	−	1.23862i
$834$	6.54908e12	+	1.15478e12i	0.468741	+	0.0826517i
$835$	2.84047e13	−	1.03385e13i	2.02210	−	0.735982i
$836$	−3.39654e12	−	9.33193e12i	−0.240497	−	0.660759i
$837$	3.99643e12	−	2.30734e12i	0.281454	−	0.162498i
$838$	3.10500e13	−	5.47495e12i	2.17502	−	0.383515i
$839$	1.81873e12	+	1.52610e12i	0.126719	+	0.106329i	0.703944	−	0.710255i	$-0.251420\pi$
$839$	1.81873e12	+	1.52610e12i	0.126719	+	0.106329i	−0.577226	+	0.816584i	$0.695865\pi$
$840$	2.26116e13	−	3.91644e13i	1.56702	−	2.71415i
$841$	−6.60484e11	−	1.14399e12i	−0.0455282	−	0.0788571i
$842$	2.49911e12	−	1.41731e13i	0.171348	−	0.971766i
$843$	1.79619e13	+	1.03703e13i	1.22498	+	0.707241i
$844$	−1.65074e13	−	6.00821e12i	−1.11979	−	0.407572i
$845$			2.07805e13i			1.40217i
$846$	1.99430e13	−	5.47931e13i	1.33852	−	3.67755i
$847$	2.49630e12	+	1.41572e13i	0.166656	+	0.945154i
$848$	4.64965e12	−	3.90152e12i	0.308772	−	0.259091i
$849$	−1.98565e13	+	2.36641e13i	−1.31165	+	1.56317i
$850$	−8.76975e13			−5.76238
$851$	1.35691e12	+	5.01967e12i	0.0886888	+	0.328089i
$852$	−1.73774e13			−1.12981
$853$	1.49542e13	−	1.78217e13i	0.967144	−	1.15260i	−0.0211097	−	0.999777i	$-0.506720\pi$
$853$	1.49542e13	−	1.78217e13i	0.967144	−	1.15260i	0.988254	−	0.152820i	$-0.0488356\pi$
$854$	−2.37550e13	+	1.99328e13i	−1.52825	+	1.28236i
$855$	−7.71948e12	−	4.37794e13i	−0.494016	−	2.80170i
$856$	1.28448e12	−	3.52909e12i	0.0817704	−	0.224662i
$857$			1.63991e13i			1.03850i	0.854623	+	0.519249i	$0.173788\pi$
$857$			1.63991e13i			1.03850i	−0.854623	+	0.519249i	$0.826212\pi$
$858$	−9.25994e12	−	3.37034e12i	−0.583331	−	0.212315i
$859$	2.56849e13	+	1.48292e13i	1.60957	+	0.929284i	0.989467	+	0.144762i	$0.0462416\pi$
$859$	2.56849e13	+	1.48292e13i	1.60957	+	0.929284i	0.620101	+	0.784522i	$0.287092\pi$
$860$	−3.44588e12	+	1.95426e13i	−0.214811	+	1.21826i
$861$	1.18396e13	+	2.05069e13i	0.734217	+	1.27170i
$862$	−1.04732e13	+	1.81401e13i	−0.646093	+	1.11907i
$863$	−7.72883e12	−	6.48526e12i	−0.474313	−	0.397996i	0.374052	−	0.927408i	$-0.377968\pi$
$863$	−7.72883e12	−	6.48526e12i	−0.474313	−	0.397996i	−0.848365	+	0.529412i	$0.822413\pi$
$864$	3.03662e13	−	5.35437e12i	1.85386	−	0.326886i
$865$	−3.08654e12	+	1.78202e12i	−0.187456	+	0.108228i
$866$	3.36383e12	+	9.24204e12i	0.203237	+	0.558390i
$867$	7.00031e13	−	2.54791e13i	4.20757	−	1.53143i
$868$	6.88322e12	+	1.21370e12i	0.411579	+	0.0725724i
$869$	1.90998e12	+	2.27623e12i	0.113616	+	0.135403i
$870$	4.78274e13	+	5.69985e13i	2.83035	+	3.37308i
$871$	7.12824e12	+	1.25690e12i	0.419663	+	0.0739979i
$872$	−1.22965e13	+	4.47557e12i	−0.720209	+	0.262135i
$873$	1.94369e13	+	5.34023e13i	1.13256	+	3.11169i
$874$	−6.93938e12	+	4.00645e12i	−0.402271	+	0.232252i
$875$	−3.63598e13	+	6.41121e12i	−2.09693	+	0.369746i
$876$	−4.53352e13	−	3.80407e13i	−2.60116	−	2.18263i
$877$	1.67396e13	−	2.89938e13i	0.955536	−	1.65504i	0.222399	−	0.974956i	$-0.428611\pi$
$877$	1.67396e13	−	2.89938e13i	0.955536	−	1.65504i	0.733137	−	0.680081i	$-0.238055\pi$
$878$	−1.51693e13	−	2.62740e13i	−0.861471	−	1.49211i
$879$	−4.52100e12	+	2.56398e13i	−0.255437	+	1.44866i
$880$	−3.60108e12	−	2.07909e12i	−0.202424	−	0.116869i
$881$	−2.19156e13	−	7.97663e12i	−1.22564	−	0.446096i	−0.353536	−	0.935421i	$-0.615021\pi$
$881$	−2.19156e13	−	7.97663e12i	−1.22564	−	0.446096i	−0.872101	+	0.489325i	$0.837243\pi$
$882$			4.65366e13i			2.58932i
$883$	−4.22637e12	+	1.16118e13i	−0.233961	+	0.642803i	0.766039	+	0.642794i	$0.222225\pi$
$883$	−4.22637e12	+	1.16118e13i	−0.233961	+	0.642803i	−1.00000		8.88313e-6i	$0.999997\pi$
$884$	−3.80232e12	−	2.15641e13i	−0.209418	−	1.18767i
$885$	−3.70189e13	+	3.10625e13i	−2.02852	+	1.70213i
$886$	2.26902e13	−	2.70411e13i	1.23705	−	1.47426i
$887$	−1.56575e13			−0.849309			−0.424655	−	0.905355i	$-0.639604\pi$
$887$	−1.56575e13			−0.849309			−0.424655	+	0.905355i	$0.639604\pi$
$888$	−2.12376e12	+	2.49084e13i	−0.114616	+	1.34427i
$889$	2.76553e13			1.48498
$890$	2.02124e12	−	2.40882e12i	0.107985	−	0.128691i
$891$	−6.14280e12	+	5.15442e12i	−0.326525	+	0.273987i
$892$	−7.15695e12	−	4.05891e13i	−0.378518	−	2.14668i
$893$	7.22057e12	−	1.98384e13i	0.379962	−	1.04394i
$894$			3.45529e13i			1.80912i
$895$	8.87615e12	+	3.23065e12i	0.462403	+	0.168301i
$896$	3.13837e13	+	1.81194e13i	1.62674	+	0.939199i
$897$	−8.28168e11	+	4.69678e12i	−0.0427123	+	0.242233i
$898$	−1.41377e13	−	2.44873e13i	−0.725497	−	1.25660i
$899$	−1.91377e12	+	3.31474e12i	−0.0977170	+	0.169251i
$900$	8.34584e13	+	7.00299e13i	4.24013	+	3.55789i
$901$	−5.92081e13	+	1.04400e13i	−2.99309	+	0.527762i
$902$	−9.31911e12	+	5.38039e12i	−0.468754	+	0.270635i
$903$	−7.68458e12	−	2.11132e13i	−0.384614	−	1.05672i
$904$	1.17386e13	−	4.27251e12i	0.584600	−	0.212777i
$905$	4.80791e13	+	8.47763e12i	2.38252	+	0.420103i
$906$	1.40780e13	+	1.67776e13i	0.694169	+	0.827279i
$907$	−5.61320e12	−	6.68955e12i	−0.275409	−	0.328219i	0.610555	−	0.791974i	$-0.290946\pi$
$907$	−5.61320e12	−	6.68955e12i	−0.275409	−	0.328219i	−0.885964	+	0.463755i	$0.846502\pi$
$908$	−2.89695e13	−	5.10810e12i	−1.41434	−	0.249387i
$909$	8.02025e12	−	2.91913e12i	0.389628	−	0.141813i
$910$	−1.09910e13	−	3.01976e13i	−0.531314	−	1.45977i
$911$	−1.95021e13	+	1.12595e13i	−0.938099	+	0.541612i	−0.889364	−	0.457200i	$-0.848852\pi$
$911$	−1.95021e13	+	1.12595e13i	−0.938099	+	0.541612i	−0.0487354	+	0.998812i	$0.515519\pi$
$912$	7.67605e12	−	1.35350e12i	0.367419	−	0.0647858i
$913$	9.82504e12	+	8.24419e12i	0.467968	+	0.392672i
$914$	7.49410e12	−	1.29802e13i	0.355191	−	0.615208i
$915$	−2.87384e13	−	4.97763e13i	−1.35540	−	2.34762i
$916$	3.71429e12	−	2.10648e13i	0.174320	−	0.988616i
$917$	−1.61133e13	−	9.30302e12i	−0.752528	−	0.434472i
$918$	−9.63804e13	−	3.50796e13i	−4.47916	−	1.63028i
$919$		−	1.66981e13i		−	0.772229i	−0.922451	−	0.386115i	$-0.873817\pi$
$919$		−	1.66981e13i		−	0.772229i	0.922451	−	0.386115i	$-0.126183\pi$
$920$	3.40183e12	−	9.34646e12i	0.156555	−	0.430132i
$921$	3.75086e12	+	2.12722e13i	0.171776	+	0.974190i
$922$	9.34113e12	−	7.83813e12i	0.425706	−	0.357210i
$923$	−2.64184e12	+	3.14842e12i	−0.119812	+	0.142786i
$924$	−4.19340e13			−1.89253
$925$	3.49032e13	−	2.45546e13i	1.56757	−	1.10280i
$926$	−2.14847e13			−0.960239
$927$	3.15556e13	−	3.76065e13i	1.40352	−	1.67265i
$928$	−1.95916e13	+	1.64393e13i	−0.867168	+	0.727641i
$929$	3.68948e12	+	2.09241e13i	0.162516	+	0.921672i	0.951589	+	0.307373i	$0.0994499\pi$
$929$	3.68948e12	+	2.09241e13i	0.162516	+	0.921672i	−0.789074	+	0.614299i	$0.789439\pi$
$930$	−7.38688e12	+	2.02953e13i	−0.323808	+	0.889655i
$931$			1.68490e13i			0.735023i
$932$	2.06583e13	+	7.51902e12i	0.896859	+	0.326430i
$933$	−2.59843e13	−	1.50021e13i	−1.12265	−	0.648162i
$934$	9.11700e12	−	5.17051e13i	0.392005	−	2.22317i
$935$	2.05938e13	+	3.56695e13i	0.881219	+	1.52632i
$936$	−7.54721e12	+	1.30721e13i	−0.321399	+	0.556680i
$937$	8.17103e12	+	6.85631e12i	0.346297	+	0.290578i	0.799301	−	0.600931i	$-0.205203\pi$
$937$	8.17103e12	+	6.85631e12i	0.346297	+	0.290578i	−0.453004	+	0.891508i	$0.649648\pi$
$938$	5.05714e13	−	8.91709e12i	2.13300	−	0.376106i
$939$	3.66798e13	−	2.11771e13i	1.53968	−	0.888937i
$940$	2.69286e13	+	7.39856e13i	1.12496	+	3.09081i
$941$	2.47793e13	−	9.01892e12i	1.03023	−	0.374974i	0.229063	−	0.973412i	$-0.426434\pi$
$941$	2.47793e13	−	9.01892e12i	1.03023	−	0.374974i	0.801170	+	0.598437i	$0.204211\pi$
$942$	2.04083e13	+	3.59853e12i	0.844457	+	0.148901i
$943$	3.34763e12	+	3.98955e12i	0.137859	+	0.164294i
$944$	−3.58545e12	−	4.27298e12i	−0.146950	−	0.175128i
$945$	−8.89166e13	−	1.56784e13i	−3.62694	−	0.639527i
$946$	9.59466e12	−	3.49217e12i	0.389511	−	0.141770i
$947$	−1.33096e13	−	3.65678e13i	−0.537761	−	1.47749i	−0.849639	−	0.527365i	$-0.823180\pi$
$947$	−1.33096e13	−	3.65678e13i	−0.537761	−	1.47749i	0.311877	−	0.950122i	$-0.399042\pi$
$948$	1.79895e13	−	1.03862e13i	0.723405	−	0.417658i
$949$	−1.37844e13	+	2.43056e12i	−0.551684	+	0.0972767i
$950$	5.03766e13	+	4.22710e13i	2.00665	+	1.68378i
$951$	−1.41972e13	+	2.45903e13i	−0.562849	+	0.974883i
$952$	−2.58524e13	−	4.47777e13i	−1.02008	−	1.76683i
$953$	−4.11813e12	+	2.33551e13i	−0.161727	+	0.917198i	0.790649	+	0.612270i	$0.209743\pi$
$953$	−4.11813e12	+	2.33551e13i	−0.161727	+	0.917198i	−0.952375	+	0.304928i	$0.901368\pi$
$954$	1.07837e14	+	6.22597e13i	4.21502	+	2.43355i
$955$	4.39075e13	+	1.59810e13i	1.70814	+	0.621712i
$956$			3.37496e13i			1.30680i
$957$	7.85410e12	−	2.15790e13i	0.302686	−	0.831624i
$958$	−5.75372e12	−	3.26310e13i	−0.220701	−	1.25166i
$959$	2.09092e13	−	1.75449e13i	0.798276	−	0.669833i
$960$	−8.02966e13	+	9.56938e13i	−3.05124	+	3.63633i
$961$	2.53286e13			0.957979
$962$	1.25889e13	+	1.25334e13i	0.473914	+	0.471824i
$963$	−1.55889e13			−0.584112
$964$	2.46488e13	−	2.93753e13i	0.919284	−	1.09556i
$965$	−5.95489e13	+	4.99675e13i	−2.21055	+	1.85487i
$966$	5.87545e12	+	3.33213e13i	0.217092	+	1.23119i
$967$	4.39614e12	−	1.20783e13i	0.161679	−	0.444208i	−0.832228	−	0.554433i	$-0.812935\pi$
$967$	4.39614e12	−	1.20783e13i	0.161679	−	0.444208i	0.993907	+	0.110225i	$0.0351572\pi$
$968$			1.52005e13i			0.556440i
$969$	−7.25498e13	−	2.64060e13i	−2.64350	−	0.962155i
$970$	−1.10791e14	−	6.39653e13i	−4.01821	−	2.31991i
$971$	5.32349e12	−	3.01910e13i	0.192181	−	1.08991i	−0.724196	−	0.689594i	$-0.757789\pi$
$971$	5.32349e12	−	3.01910e13i	0.192181	−	1.08991i	0.916377	−	0.400317i	$-0.131100\pi$
$972$	−5.03689e12	−	8.72415e12i	−0.180994	−	0.313491i
$973$	3.34655e12	−	5.79640e12i	0.119699	−	0.207324i
$974$	−8.44871e12	−	7.08931e12i	−0.300798	−	0.252400i
$975$	3.85465e13	−	6.79678e12i	1.36604	−	0.240870i
$976$	5.74552e12	−	3.31718e12i	0.202677	−	0.117016i
$977$	−1.20359e13	−	3.30685e13i	−0.422625	−	1.16115i	−0.950199	−	0.311643i	$-0.899121\pi$
$977$	−1.20359e13	−	3.30685e13i	−0.422625	−	1.16115i	0.527575	−	0.849509i	$-0.323101\pi$
$978$	−6.75850e13	+	2.45989e13i	−2.36225	+	0.859787i
$979$	−9.55732e11	−	1.68521e11i	−0.0332517	−	0.00586318i
$980$	−4.03909e13	−	4.81360e13i	−1.39884	−	1.66707i
$981$	3.49143e13	+	4.16092e13i	1.20363	+	1.43443i
$982$	−1.88284e13	−	3.31996e12i	−0.646118	−	0.113928i
$983$	−3.01930e13	+	1.09894e13i	−1.03137	+	0.375389i	−0.801603	−	0.597856i	$-0.796019\pi$
$983$	−3.01930e13	+	1.09894e13i	−1.03137	+	0.375389i	−0.229769	+	0.973245i	$0.573797\pi$
$984$	8.56349e12	+	2.35280e13i	0.291188	+	0.800032i
$985$	3.69381e12	−	2.13262e12i	0.125029	−	0.0721857i
$986$	8.37783e13	−	1.47724e13i	2.82283	−	0.497742i
$987$	−6.82896e13	−	5.73017e13i	−2.29048	−	1.92194i
$988$	−8.20988e12	+	1.42199e13i	−0.274113	+	0.474778i
$989$	−2.47081e12	−	4.27957e12i	−0.0821214	−	0.142238i
$990$	1.48130e13	−	8.40089e13i	0.490101	−	2.77950i
$991$	−4.22736e13	−	2.44067e13i	−1.39231	−	0.803853i	−0.398744	−	0.917062i	$-0.630554\pi$
$991$	−4.22736e13	−	2.44067e13i	−1.39231	−	0.803853i	−0.993571	+	0.113209i	$0.963887\pi$
$992$	−6.97591e12	−	2.53902e12i	−0.228717	−	0.0832462i
$993$		−	3.32199e13i		−	1.08424i
$994$	−9.97271e12	+	2.73998e13i	−0.324022	+	0.890243i
$995$	1.86223e11	+	1.05612e12i	0.00602322	+	0.0341594i
$996$	6.86848e13	−	5.76334e13i	2.21153	−	1.85570i
$997$	3.76971e13	−	4.49257e13i	1.20831	−	1.44001i	0.342596	−	0.939483i	$-0.388694\pi$
$997$	3.76971e13	−	4.49257e13i	1.20831	−	1.44001i	0.865719	−	0.500531i	$-0.166862\pi$
$998$	4.82785e13			1.54052
$999$	4.81810e13	−	1.30242e13i	1.53049	−	0.413721i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	37.10.h.a.3.4	✓	168
37.25	even	18	inner	37.10.h.a.25.4	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
37.10.h.a.3.4	✓	168	1.1	even	1	trivial
37.10.h.a.25.4	yes	168	37.25	even	18	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 $\F_{q}$

Level:	\( N \)	\(=\)	\( 37 \)
Weight:	\( k \)	\(=\)	\( 10 \)
Character orbit:	\([\chi]\)	\(=\)	37.h (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-22.9919 + 27.4007i) q^{2} +(183.862 - 154.278i) q^{3} +(-133.262 - 755.768i) q^{4} +(816.313 - 2242.80i) q^{5} +8585.09i q^{6} +(8119.51 + 2955.26i) q^{7} +(7912.34 + 4568.19i) q^{8} +(6585.41 - 37347.7i) q^{9} +O(q^{10})\)	\(q+(-22.9919 + 27.4007i) q^{2} +(183.862 - 154.278i) q^{3} +(-133.262 - 755.768i) q^{4} +(816.313 - 2242.80i) q^{5} +8585.09i q^{6} +(8119.51 + 2955.26i) q^{7} +(7912.34 + 4568.19i) q^{8} +(6585.41 - 37347.7i) q^{9} +(42685.7 + 73933.9i) q^{10} +(13174.0 - 22818.1i) q^{11} +(-141100. - 118397. i) q^{12} +(-42902.3 + 7564.84i) q^{13} +(-267659. + 154533. i) q^{14} +(-195927. - 538305. i) q^{15} +(62134.8 - 22615.2i) q^{16} +(-645007. - 113732. i) q^{17} +(871942. + 1.03914e6i) q^{18} +(315695. + 376231. i) q^{19} +(-1.80382e6 - 318062. i) q^{20} +(1.94880e6 - 709304. i) q^{21} +(322335. + 885608. i) q^{22} +(395014. - 228061. i) q^{23} +(2.15955e6 - 380787. i) q^{24} +(-2.86761e6 - 2.40621e6i) q^{25} +(779125. - 1.34948e6i) q^{26} +(-2.18903e6 - 3.79152e6i) q^{27} +(1.15147e6 - 6.53029e6i) q^{28} +(3.14478e6 + 1.81564e6i) q^{29} +(1.92547e7 + 7.00812e6i) q^{30} +1.05405e6i q^{31} +(-2.40884e6 + 6.61823e6i) q^{32} +(-1.09813e6 - 6.22783e6i) q^{33} +(1.79463e7 - 1.50587e7i) q^{34} +(1.32561e7 - 1.57980e7i) q^{35} -2.91038e7 q^{36} +(-2.92622e6 + 1.10181e7i) q^{37} -1.75674e7 q^{38} +(-6.72100e6 + 8.00978e6i) q^{39} +(1.67045e7 - 1.40167e7i) q^{40} +(1.98270e6 + 1.12445e7i) q^{41} +(-2.53712e7 + 6.97067e7i) q^{42} -1.08340e7i q^{43} +(-1.90008e7 - 6.91571e6i) q^{44} +(-7.83878e7 - 4.52572e7i) q^{45} +(-2.83309e6 + 1.60672e7i) q^{46} +(-2.14926e7 - 3.72263e7i) q^{47} +(7.93517e6 - 1.37441e7i) q^{48} +(2.62802e7 + 2.20517e7i) q^{49} +(1.31864e8 - 2.32512e7i) q^{50} +(-1.36138e8 + 7.85995e7i) q^{51} +(1.14345e7 + 3.14161e7i) q^{52} +(8.62586e7 - 3.13956e7i) q^{53} +(1.54220e8 + 2.71932e7i) q^{54} +(-4.04223e7 - 4.81734e7i) q^{55} +(5.07441e7 + 6.04745e7i) q^{56} +(1.16088e8 + 2.04695e7i) q^{57} +(-1.22054e8 + 4.44241e7i) q^{58} +(-2.88522e7 - 7.92708e7i) q^{59} +(-3.80724e8 + 2.19811e8i) q^{60} +(9.88101e7 - 1.74229e7i) q^{61} +(-2.88816e7 - 2.42345e7i) q^{62} +(1.63842e8 - 2.83783e8i) q^{63} +(-1.09033e8 - 1.88851e8i) q^{64} +(-1.80553e7 + 1.02397e8i) q^{65} +(1.95895e8 + 1.13100e8i) q^{66} +(-1.56130e8 - 5.68268e7i) q^{67} +5.02632e8i q^{68} +(3.74430e7 - 1.02874e8i) q^{69} +(1.28093e8 + 7.26454e8i) q^{70} +(7.22710e7 - 6.06425e7i) q^{71} +(2.22718e8 - 2.65425e8i) q^{72} +3.21297e8 q^{73} +(-2.34625e8 - 3.33508e8i) q^{74} -8.98470e8 q^{75} +(2.42273e8 - 2.88730e8i) q^{76} +(1.74400e8 - 1.46339e8i) q^{77} +(-6.49448e7 - 3.68320e8i) q^{78} +(-3.85714e7 + 1.05974e8i) q^{79} -1.57817e8i q^{80} +(-2.85989e8 - 1.04092e8i) q^{81} +(-3.53693e8 - 2.04205e8i) q^{82} +(-8.45284e7 + 4.79384e8i) q^{83} +(-7.95771e8 - 1.37832e9i) q^{84} +(-7.81606e8 + 1.35378e9i) q^{85} +(2.96858e8 + 2.49094e8i) q^{86} +(8.58318e8 - 1.51345e8i) q^{87} +(2.08475e8 - 1.20363e8i) q^{88} +(-1.25976e7 - 3.46117e7i) q^{89} +(3.04236e9 - 1.10733e9i) q^{90} +(-3.70702e8 - 6.53647e7i) q^{91} +(-2.25002e8 - 2.68147e8i) q^{92} +(1.62616e8 + 1.93798e8i) q^{93} +(1.51418e9 + 2.66991e8i) q^{94} +(1.10152e9 - 4.00919e8i) q^{95} +(5.78155e8 + 1.58847e9i) q^{96} +(-1.29775e9 + 7.49259e8i) q^{97} +(-1.20846e9 + 2.13085e8i) q^{98} +(-7.65446e8 - 6.42286e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q + 45 q^{2} + 216 q^{3} + 249 q^{4} + 177 q^{5} - 5820 q^{7} - 74520 q^{8} - 30198 q^{9}+O(q^{10}) \) 168 * q + 45 * q^2 + 216 * q^3 + 249 * q^4 + 177 * q^5 - 5820 * q^7 - 74520 * q^8 - 30198 * q^9	\( 168 q + 45 q^{2} + 216 q^{3} + 249 q^{4} + 177 q^{5} - 5820 q^{7} - 74520 q^{8} - 30198 q^{9} - 60003 q^{10} + 175689 q^{11} - 307257 q^{12} - 713598 q^{13} + 290583 q^{14} - 385260 q^{15} + 292473 q^{16} + 951645 q^{17} - 2634174 q^{18} + 87108 q^{19} - 6701172 q^{20} + 1892136 q^{21} - 1410435 q^{22} - 9 q^{23} + 6919605 q^{24} - 1830519 q^{25} - 12361155 q^{26} + 12227553 q^{27} - 14971305 q^{28} - 8346069 q^{29} + 32076480 q^{30} + 25901316 q^{32} + 29661003 q^{33} + 17761257 q^{34} - 25104648 q^{35} - 302330892 q^{36} - 89711496 q^{37} + 137852370 q^{38} + 3073230 q^{39} + 72127485 q^{40} + 40690731 q^{41} + 229015377 q^{42} + 187195086 q^{44} - 293199021 q^{45} - 286926930 q^{46} - 134086527 q^{47} + 86156133 q^{48} + 67568640 q^{49} + 134153859 q^{50} - 528106959 q^{51} + 402280539 q^{52} + 147470676 q^{53} + 422122437 q^{54} - 55011861 q^{55} - 616228263 q^{56} - 449072832 q^{57} + 529606191 q^{58} + 773443290 q^{59} + 1433547972 q^{60} + 469275144 q^{61} - 914552304 q^{62} - 673379979 q^{63} + 1146585192 q^{64} - 243884745 q^{65} + 1805055381 q^{66} + 214516206 q^{67} + 722409993 q^{69} - 2605801512 q^{70} - 1455384636 q^{71} - 4689293691 q^{72} + 930909090 q^{73} - 1261741251 q^{74} + 3013150476 q^{75} + 195486513 q^{76} + 1827454371 q^{77} + 1710012453 q^{78} + 1230271476 q^{79} + 2262925611 q^{81} - 3346032141 q^{82} - 2122951164 q^{83} - 6124511730 q^{84} - 39169146 q^{85} - 2603533938 q^{86} + 1185003879 q^{87} - 261497646 q^{88} + 1603969074 q^{89} + 7288796094 q^{90} - 4883515182 q^{91} - 7533267018 q^{92} + 1209552852 q^{93} + 1712695200 q^{94} + 2036912394 q^{95} + 7661250639 q^{96} - 7583351877 q^{97} - 10074558573 q^{98} - 7520510685 q^{99}+O(q^{100}) \) 168 * q + 45 * q^2 + 216 * q^3 + 249 * q^4 + 177 * q^5 - 5820 * q^7 - 74520 * q^8 - 30198 * q^9 - 60003 * q^10 + 175689 * q^11 - 307257 * q^12 - 713598 * q^13 + 290583 * q^14 - 385260 * q^15 + 292473 * q^16 + 951645 * q^17 - 2634174 * q^18 + 87108 * q^19 - 6701172 * q^20 + 1892136 * q^21 - 1410435 * q^22 - 9 * q^23 + 6919605 * q^24 - 1830519 * q^25 - 12361155 * q^26 + 12227553 * q^27 - 14971305 * q^28 - 8346069 * q^29 + 32076480 * q^30 + 25901316 * q^32 + 29661003 * q^33 + 17761257 * q^34 - 25104648 * q^35 - 302330892 * q^36 - 89711496 * q^37 + 137852370 * q^38 + 3073230 * q^39 + 72127485 * q^40 + 40690731 * q^41 + 229015377 * q^42 + 187195086 * q^44 - 293199021 * q^45 - 286926930 * q^46 - 134086527 * q^47 + 86156133 * q^48 + 67568640 * q^49 + 134153859 * q^50 - 528106959 * q^51 + 402280539 * q^52 + 147470676 * q^53 + 422122437 * q^54 - 55011861 * q^55 - 616228263 * q^56 - 449072832 * q^57 + 529606191 * q^58 + 773443290 * q^59 + 1433547972 * q^60 + 469275144 * q^61 - 914552304 * q^62 - 673379979 * q^63 + 1146585192 * q^64 - 243884745 * q^65 + 1805055381 * q^66 + 214516206 * q^67 + 722409993 * q^69 - 2605801512 * q^70 - 1455384636 * q^71 - 4689293691 * q^72 + 930909090 * q^73 - 1261741251 * q^74 + 3013150476 * q^75 + 195486513 * q^76 + 1827454371 * q^77 + 1710012453 * q^78 + 1230271476 * q^79 + 2262925611 * q^81 - 3346032141 * q^82 - 2122951164 * q^83 - 6124511730 * q^84 - 39169146 * q^85 - 2603533938 * q^86 + 1185003879 * q^87 - 261497646 * q^88 + 1603969074 * q^89 + 7288796094 * q^90 - 4883515182 * q^91 - 7533267018 * q^92 + 1209552852 * q^93 + 1712695200 * q^94 + 2036912394 * q^95 + 7661250639 * q^96 - 7583351877 * q^97 - 10074558573 * q^98 - 7520510685 * q^99

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