LMFDB - Embedded newform 25.9.f.a.2.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [25,9,Mod(2,25)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(25, base_ring=CyclotomicField(20))

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

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

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

chi := DirichletCharacter("25.2");

S:= CuspForms(chi, 9);

N := Newforms(S);

Level:	$ N $	$=$	$ 25 = 5^{2} $
Weight:	$ k $	$=$	$ 9 $
Character orbit:	$[\chi]$	$=$	25.f (of order $20$, degree $8$, 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:	$10.1844652515$
Analytic rank:	$0$
Dimension:	$152$
Relative dimension:	$19$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			2.17
Character	$\chi$	$=$	25.2
Dual form			25.9.f.a.13.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(25.9250 + 4.10612i) q^{2} +(40.5801 + 79.6429i) q^{3} +(411.775 + 133.794i) q^{4} +(-624.993 - 2.91064i) q^{5} +(725.016 + 2231.37i) q^{6} +(2152.18 + 2152.18i) q^{7} +(4138.76 + 2108.80i) q^{8} +(-839.788 + 1155.87i) q^{9} +O(q^{10})$	\(q+(25.9250 + 4.10612i) q^{2} +(40.5801 + 79.6429i) q^{3} +(411.775 + 133.794i) q^{4} +(-624.993 - 2.91064i) q^{5} +(725.016 + 2231.37i) q^{6} +(2152.18 + 2152.18i) q^{7} +(4138.76 + 2108.80i) q^{8} +(-839.788 + 1155.87i) q^{9} +(-16191.0 - 2641.75i) q^{10} +(4687.93 - 3405.98i) q^{11} +(6054.14 + 38224.3i) q^{12} +(-15732.4 + 2491.77i) q^{13} +(46958.1 + 64632.2i) q^{14} +(-25130.5 - 49894.4i) q^{15} +(8967.38 + 6515.18i) q^{16} +(36120.5 - 70890.4i) q^{17} +(-26517.7 + 26517.7i) q^{18} +(143301. - 46561.3i) q^{19} +(-256967. - 84818.8i) q^{20} +(-84070.0 + 258741. i) q^{21} +(135520. - 69050.9i) q^{22} +(-21953.2 + 138607. i) q^{23} +415198. i q^{24} +(390608. + 3638.26i) q^{25} -418095. q^{26} +(453101. + 71764.2i) q^{27} +(598265. + 1.17416e6i) q^{28} +(-522564. - 169791. i) q^{29} +(-446635. - 1.39670e6i) q^{30} +(-505220. - 1.55491e6i) q^{31} +(-635114. - 635114. i) q^{32} +(461499. + 235145. i) q^{33} +(1.22751e6 - 1.68952e6i) q^{34} +(-1.33883e6 - 1.35136e6i) q^{35} +(-500452. + 363600. i) q^{36} +(379045. + 2.39320e6i) q^{37} +(3.90627e6 - 618692. i) q^{38} +(-836875. - 1.15186e6i) q^{39} +(-2.58056e6 - 1.33003e6i) q^{40} +(-2.71720e6 - 1.97416e6i) q^{41} +(-3.24194e6 + 6.36266e6i) q^{42} +(4.04484e6 - 4.04484e6i) q^{43} +(2.38607e6 - 775282. i) q^{44} +(528226. - 719966. i) q^{45} +(-1.13827e6 + 3.50324e6i) q^{46} +(-7.48858e6 + 3.81562e6i) q^{47} +(-154991. + 978575. i) q^{48} +3.49892e6i q^{49} +(1.01116e7 + 1.69820e6i) q^{50} +7.11169e6 q^{51} +(-6.81161e6 - 1.07885e6i) q^{52} +(5.66258e6 + 1.11134e7i) q^{53} +(1.14520e7 + 3.72097e6i) q^{54} +(-2.93984e6 + 2.11507e6i) q^{55} +(4.36882e6 + 1.34458e7i) q^{56} +(9.52345e6 + 9.52345e6i) q^{57} +(-1.28503e7 - 6.54755e6i) q^{58} +(-3.66771e6 + 5.04817e6i) q^{59} +(-3.67254e6 - 2.39076e7i) q^{60} +(-1.85106e7 + 1.34487e7i) q^{61} +(-6.71320e6 - 4.23855e7i) q^{62} +(-4.29501e6 + 680262. i) q^{63} +(-1.55254e7 - 2.13688e7i) q^{64} +(9.83991e6 - 1.51155e6i) q^{65} +(1.09988e7 + 7.99112e6i) q^{66} +(-2.89829e6 + 5.68821e6i) q^{67} +(2.43582e7 - 2.43582e7i) q^{68} +(-1.19299e7 + 3.87627e6i) q^{69} +(-2.91604e7 - 4.05314e7i) q^{70} +(720982. - 2.21896e6i) q^{71} +(-5.91318e6 + 3.01291e6i) q^{72} +(480569. - 3.03420e6i) q^{73} +6.36000e7i q^{74} +(1.55611e7 + 3.12568e7i) q^{75} +6.52375e7 q^{76} +(1.74195e7 + 2.75898e6i) q^{77} +(-1.69663e7 - 3.32983e7i) q^{78} +(2.58944e7 + 8.41361e6i) q^{79} +(-5.58559e6 - 4.09805e6i) q^{80} +(1.55681e7 + 4.79136e7i) q^{81} +(-6.23372e7 - 6.23372e7i) q^{82} +(-1.35724e7 - 6.91547e6i) q^{83} +(-6.92359e7 + 9.52950e7i) q^{84} +(-2.27814e7 + 4.42009e7i) q^{85} +(1.21471e8 - 8.82539e7i) q^{86} +(-7.68302e6 - 4.85087e7i) q^{87} +(2.65847e7 - 4.21061e6i) q^{88} +(-3.56527e6 - 4.90717e6i) q^{89} +(1.66505e7 - 1.64962e7i) q^{90} +(-3.92217e7 - 2.84962e7i) q^{91} +(-2.75845e7 + 5.41377e7i) q^{92} +(1.03335e8 - 1.03335e8i) q^{93} +(-2.09809e8 + 6.81710e7i) q^{94} +(-8.96977e7 + 2.86834e7i) q^{95} +(2.48093e7 - 7.63552e7i) q^{96} +(-5.69844e7 + 2.90350e7i) q^{97} +(-1.43670e7 + 9.07095e7i) q^{98} +8.27894e6i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9}+O(q^{10}) $ 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9	\( 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9} - 30880 q^{10} - 6 q^{11} + 45902 q^{12} + 119132 q^{13} - 10 q^{14} - 241450 q^{15} + 524282 q^{16} - 105158 q^{17} + 454052 q^{18} + 718890 q^{19} + 340370 q^{20} - 6 q^{21} - 1986746 q^{22} - 899198 q^{23} + 2032310 q^{25} - 913936 q^{26} + 1904300 q^{27} - 998002 q^{28} - 1956910 q^{29} - 4500490 q^{30} - 6 q^{31} - 3033938 q^{32} + 1003994 q^{33} + 10303990 q^{34} + 4124560 q^{35} - 8100358 q^{36} + 9534392 q^{37} - 14259280 q^{38} - 22510410 q^{39} - 4123060 q^{40} - 4374726 q^{41} + 52199634 q^{42} + 13583342 q^{43} - 2138860 q^{44} - 33978380 q^{45} - 6 q^{46} - 11197058 q^{47} - 32869688 q^{48} + 13239250 q^{50} - 16 q^{51} + 93509212 q^{52} + 53717512 q^{53} + 57025140 q^{54} - 14642290 q^{55} - 262150 q^{56} - 93310490 q^{57} - 97437640 q^{58} + 24222740 q^{59} - 66375070 q^{60} - 18369126 q^{61} + 6782124 q^{62} + 96012652 q^{63} + 112817140 q^{64} + 89469970 q^{65} + 6718458 q^{66} + 74549142 q^{67} - 62262702 q^{68} - 128418860 q^{69} - 177099410 q^{70} + 60703854 q^{71} - 444425220 q^{72} - 171988248 q^{73} + 257329110 q^{75} - 262160 q^{76} + 292751454 q^{77} + 385000804 q^{78} + 138506190 q^{79} + 245270230 q^{80} + 110809772 q^{81} - 73650066 q^{82} - 663197528 q^{83} - 1517250010 q^{84} - 616093620 q^{85} - 6 q^{86} + 494144820 q^{87} + 1287340030 q^{88} + 1051406240 q^{89} + 1480613390 q^{90} - 6 q^{91} - 461835158 q^{92} - 908140736 q^{93} - 1160168810 q^{94} - 920404690 q^{95} + 172437534 q^{96} - 732746208 q^{97} - 167741852 q^{98}+O(q^{100}) \) 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9 - 30880 * q^10 - 6 * q^11 + 45902 * q^12 + 119132 * q^13 - 10 * q^14 - 241450 * q^15 + 524282 * q^16 - 105158 * q^17 + 454052 * q^18 + 718890 * q^19 + 340370 * q^20 - 6 * q^21 - 1986746 * q^22 - 899198 * q^23 + 2032310 * q^25 - 913936 * q^26 + 1904300 * q^27 - 998002 * q^28 - 1956910 * q^29 - 4500490 * q^30 - 6 * q^31 - 3033938 * q^32 + 1003994 * q^33 + 10303990 * q^34 + 4124560 * q^35 - 8100358 * q^36 + 9534392 * q^37 - 14259280 * q^38 - 22510410 * q^39 - 4123060 * q^40 - 4374726 * q^41 + 52199634 * q^42 + 13583342 * q^43 - 2138860 * q^44 - 33978380 * q^45 - 6 * q^46 - 11197058 * q^47 - 32869688 * q^48 + 13239250 * q^50 - 16 * q^51 + 93509212 * q^52 + 53717512 * q^53 + 57025140 * q^54 - 14642290 * q^55 - 262150 * q^56 - 93310490 * q^57 - 97437640 * q^58 + 24222740 * q^59 - 66375070 * q^60 - 18369126 * q^61 + 6782124 * q^62 + 96012652 * q^63 + 112817140 * q^64 + 89469970 * q^65 + 6718458 * q^66 + 74549142 * q^67 - 62262702 * q^68 - 128418860 * q^69 - 177099410 * q^70 + 60703854 * q^71 - 444425220 * q^72 - 171988248 * q^73 + 257329110 * q^75 - 262160 * q^76 + 292751454 * q^77 + 385000804 * q^78 + 138506190 * q^79 + 245270230 * q^80 + 110809772 * q^81 - 73650066 * q^82 - 663197528 * q^83 - 1517250010 * q^84 - 616093620 * q^85 - 6 * q^86 + 494144820 * q^87 + 1287340030 * q^88 + 1051406240 * q^89 + 1480613390 * q^90 - 6 * q^91 - 461835158 * q^92 - 908140736 * q^93 - 1160168810 * q^94 - 920404690 * q^95 + 172437534 * q^96 - 732746208 * q^97 - 167741852 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/25\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{20}\right)$

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 $

$2$	25.9250	+	4.10612i	1.62031	+	0.256632i	0.899637	−	0.436639i	$-0.143831\pi$
$2$	25.9250	+	4.10612i	1.62031	+	0.256632i	0.720676	+	0.693272i	$0.243831\pi$
$3$	40.5801	+	79.6429i	0.500989	+	0.983246i	0.993596	+	0.112994i	$0.0360440\pi$
$3$	40.5801	+	79.6429i	0.500989	+	0.983246i	−0.492607	+	0.870252i	$0.663956\pi$
$4$	411.775	+	133.794i	1.60850	+	0.522632i
$5$	−624.993	−	2.91064i	−0.999989	−	0.00465702i
$5$	−624.993	−	2.91064i	−0.999989	−	0.00465702i
$6$	725.016	+	2231.37i	0.559426	+	1.72174i
$7$	2152.18	+	2152.18i	0.896366	+	0.896366i	0.995113	−	0.0987463i	$-0.0314832\pi$
$7$	2152.18	+	2152.18i	0.896366	+	0.896366i	−0.0987463	+	0.995113i	$0.531483\pi$
$8$	4138.76	+	2108.80i	1.01044	+	0.514844i
$9$	−839.788	+	1155.87i	−0.127997	+	0.176173i
$10$	−16191.0	−	2641.75i	−1.61910	−	0.264175i
$11$	4687.93	−	3405.98i	0.320192	−	0.232633i	−0.416065	−	0.909335i	$-0.636591\pi$
$11$	4687.93	−	3405.98i	0.320192	−	0.232633i	0.736257	+	0.676702i	$0.236591\pi$
$12$	6054.14	+	38224.3i	0.291963	+	1.84338i
$13$	−15732.4	+	2491.77i	−0.550836	+	0.0872438i	−0.425647	−	0.904889i	$-0.639954\pi$
$13$	−15732.4	+	2491.77i	−0.550836	+	0.0872438i	−0.125189	+	0.992133i	$0.539954\pi$
$14$	46958.1	+	64632.2i	1.22236	+	1.68243i
$15$	−25130.5	−	49894.4i	−0.496404	−	0.985568i
$16$	8967.38	+	6515.18i	0.136831	+	0.0994138i
$17$	36120.5	−	70890.4i	0.432472	−	0.848773i	−0.567211	−	0.823573i	$-0.691978\pi$
$17$	36120.5	−	70890.4i	0.432472	−	0.848773i	0.999682	−	0.0252007i	$-0.00802248\pi$
$18$	−26517.7	+	26517.7i	−0.252607	+	0.252607i
$19$	143301.	−	46561.3i	1.09960	−	0.357282i	0.297652	−	0.954674i	$-0.403797\pi$
$19$	143301.	−	46561.3i	1.09960	−	0.357282i	0.801949	+	0.597393i	$0.203797\pi$
$20$	−256967.	−	84818.8i	−1.60605	−	0.530117i
$21$	−84070.0	+	258741.i	−0.432279	+	1.33042i
$22$	135520.	−	69050.9i	0.578513	−	0.294767i
$23$	−21953.2	+	138607.i	−0.0784488	+	0.495306i	0.916912	+	0.399090i	$0.130674\pi$
$23$	−21953.2	+	138607.i	−0.0784488	+	0.495306i	−0.995360	+	0.0962159i	$0.969326\pi$
$24$			415198.i			1.25144i
$25$	390608.	+	3638.26i	0.999957	+	0.00931395i
$26$	−418095.			−0.914916
$27$	453101.	+	71764.2i	0.852590	+	0.135037i
$28$	598265.	+	1.17416e6i	0.973332	+	1.91027i
$29$	−522564.	−	169791.i	−0.738835	−	0.240062i	−0.0846649	−	0.996409i	$-0.526982\pi$
$29$	−522564.	−	169791.i	−0.738835	−	0.240062i	−0.654170	+	0.756347i	$0.726982\pi$
$30$	−446635.	−	1.39670e6i	−0.551401	−	1.72432i
$31$	−505220.	−	1.55491e6i	−0.547058	−	1.68367i	−0.716045	−	0.698054i	$-0.754050\pi$
$31$	−505220.	−	1.55491e6i	−0.547058	−	1.68367i	0.168987	−	0.985618i	$-0.445950\pi$
$32$	−635114.	−	635114.i	−0.605692	−	0.605692i
$33$	461499.	+	235145.i	0.389148	+	0.198281i
$34$	1.22751e6	−	1.68952e6i	0.918562	−	1.26429i
$35$	−1.33883e6	−	1.35136e6i	−0.892182	−	0.900531i
$36$	−500452.	+	363600.i	−0.297956	+	0.216478i
$37$	379045.	+	2.39320e6i	0.202248	+	1.27694i	0.854704	+	0.519116i	$0.173739\pi$
$37$	379045.	+	2.39320e6i	0.202248	+	1.27694i	−0.652456	+	0.757827i	$0.726261\pi$
$38$	3.90627e6	−	618692.i	1.87339	−	0.296715i
$39$	−836875.	−	1.15186e6i	−0.361745	−	0.497899i
$40$	−2.58056e6	−	1.33003e6i	−1.00803	−	0.519544i
$41$	−2.71720e6	−	1.97416e6i	−0.961581	−	0.698629i	−0.00806330	−	0.999967i	$-0.502567\pi$
$41$	−2.71720e6	−	1.97416e6i	−0.961581	−	0.698629i	−0.953517	+	0.301338i	$0.902567\pi$
$42$	−3.24194e6	+	6.36266e6i	−1.04186	+	2.04476i
$43$	4.04484e6	−	4.04484e6i	1.18312	−	1.18312i	0.204183	−	0.978933i	$-0.434546\pi$
$43$	4.04484e6	−	4.04484e6i	1.18312	−	1.18312i	0.978933	−	0.204183i	$-0.0654539\pi$
$44$	2.38607e6	−	775282.i	0.636610	−	0.206847i
$45$	528226.	−	719966.i	0.128816	−	0.175575i
$46$	−1.13827e6	+	3.50324e6i	−0.254223	+	0.782418i
$47$	−7.48858e6	+	3.81562e6i	−1.53465	+	0.781941i	−0.998081	−	0.0619183i	$-0.980278\pi$
$47$	−7.48858e6	+	3.81562e6i	−1.53465	+	0.781941i	−0.536564	+	0.843859i	$0.680278\pi$
$48$	−154991.	+	978575.i	−0.0291972	+	0.184344i
$49$			3.49892e6i			0.606945i
$50$	1.01116e7	+	1.69820e6i	1.61785	+	0.271713i
$51$	7.11169e6			1.05122
$52$	−6.81161e6	−	1.07885e6i	−0.931614	−	0.147553i
$53$	5.66258e6	+	1.11134e7i	0.717648	+	1.40846i	0.904673	+	0.426107i	$0.140115\pi$
$53$	5.66258e6	+	1.11134e7i	0.717648	+	1.40846i	−0.187025	+	0.982355i	$0.559885\pi$
$54$	1.14520e7	+	3.72097e6i	1.34681	+	0.437604i
$55$	−2.93984e6	+	2.11507e6i	−0.321272	+	0.231140i
$56$	4.36882e6	+	1.34458e7i	0.444234	+	1.36721i
$57$	9.52345e6	+	9.52345e6i	0.902183	+	0.902183i
$58$	−1.28503e7	−	6.54755e6i	−1.13554	−	0.578585i
$59$	−3.66771e6	+	5.04817e6i	−0.302682	+	0.416606i	−0.933082	−	0.359665i	$-0.882891\pi$
$59$	−3.66771e6	+	5.04817e6i	−0.302682	+	0.416606i	0.630400	+	0.776271i	$0.282891\pi$
$60$	−3.67254e6	−	2.39076e7i	−0.283375	−	1.84472i
$61$	−1.85106e7	+	1.34487e7i	−1.33690	+	0.971318i	−0.337352	+	0.941378i	$0.609531\pi$
$61$	−1.85106e7	+	1.34487e7i	−1.33690	+	0.971318i	−0.999552	+	0.0299391i	$0.990469\pi$
$62$	−6.71320e6	−	4.23855e7i	−0.454321	−	2.86847i
$63$	−4.29501e6	+	680262.i	−0.272648	+	0.0431831i
$64$	−1.55254e7	−	2.13688e7i	−0.925384	−	1.27368i
$65$	9.83991e6	−	1.51155e6i	0.551236	−	0.0846776i
$66$	1.09988e7	+	7.99112e6i	0.579656	+	0.421145i
$67$	−2.89829e6	+	5.68821e6i	−0.143827	+	0.282277i	−0.951671	−	0.307120i	$-0.900635\pi$
$67$	−2.89829e6	+	5.68821e6i	−0.143827	+	0.282277i	0.807843	+	0.589397i	$0.200635\pi$
$68$	2.43582e7	−	2.43582e7i	1.13923	−	1.13923i
$69$	−1.19299e7	+	3.87627e6i	−0.526309	+	0.171008i
$70$	−2.91604e7	−	4.05314e7i	−1.21451	−	1.68810i
$71$	720982.	−	2.21896e6i	0.0283721	−	0.0873203i	−0.935868	−	0.352351i	$-0.885382\pi$
$71$	720982.	−	2.21896e6i	0.0283721	−	0.0873203i	0.964240	+	0.265031i	$0.0853822\pi$
$72$	−5.91318e6	+	3.01291e6i	−0.220035	+	0.112113i
$73$	480569.	−	3.03420e6i	0.0169225	−	0.106844i	−0.977781	−	0.209628i	$-0.932775\pi$
$73$	480569.	−	3.03420e6i	0.0169225	−	0.106844i	0.994704	+	0.102783i	$0.0327748\pi$
$74$			6.36000e7i			2.12095i
$75$	1.55611e7	+	3.12568e7i	0.491809	+	0.987869i
$76$	6.52375e7			1.95543
$77$	1.74195e7	+	2.75898e6i	0.495534	+	0.0784849i
$78$	−1.69663e7	−	3.32983e7i	−0.458363	−	0.899587i
$79$	2.58944e7	+	8.41361e6i	0.664810	+	0.216010i	0.621933	−	0.783070i	$-0.286348\pi$
$79$	2.58944e7	+	8.41361e6i	0.664810	+	0.216010i	0.0428773	+	0.999080i	$0.486348\pi$
$80$	−5.58559e6	−	4.09805e6i	−0.136367	−	0.100050i
$81$	1.55681e7	+	4.79136e7i	0.361655	+	1.11306i
$82$	−6.23372e7	−	6.23372e7i	−1.37877	−	1.37877i
$83$	−1.35724e7	−	6.91547e6i	−0.285985	−	0.145717i	0.305114	−	0.952316i	$-0.401306\pi$
$83$	−1.35724e7	−	6.91547e6i	−0.285985	−	0.145717i	−0.591099	+	0.806599i	$0.701306\pi$
$84$	−6.92359e7	+	9.52950e7i	−1.39064	+	1.91405i
$85$	−2.27814e7	+	4.42009e7i	−0.436420	+	0.846750i
$86$	1.21471e8	−	8.82539e7i	2.22064	−	1.61339i
$87$	−7.68302e6	−	4.85087e7i	−0.134108	−	0.846725i
$88$	2.65847e7	−	4.21061e6i	0.443304	−	0.0702125i
$89$	−3.56527e6	−	4.90717e6i	−0.0568240	−	0.0782115i	0.779659	−	0.626204i	$-0.215392\pi$
$89$	−3.56527e6	−	4.90717e6i	−0.0568240	−	0.0782115i	−0.836483	+	0.547992i	$0.815392\pi$
$90$	1.66505e7	−	1.64962e7i	0.253780	−	0.251428i
$91$	−3.92217e7	−	2.84962e7i	−0.571953	−	0.415548i
$92$	−2.75845e7	+	5.41377e7i	−0.385047	+	0.755698i
$93$	1.03335e8	−	1.03335e8i	1.38139	−	1.38139i
$94$	−2.09809e8	+	6.81710e7i	−2.68728	+	0.873149i
$95$	−8.96977e7	+	2.86834e7i	−1.10125	+	0.352157i
$96$	2.48093e7	−	7.63552e7i	0.292099	−	0.898988i
$97$	−5.69844e7	+	2.90350e7i	−0.643678	+	0.327971i	−0.745179	−	0.666865i	$-0.767636\pi$
$97$	−5.69844e7	+	2.90350e7i	−0.643678	+	0.327971i	0.101500	+	0.994836i	$0.467636\pi$
$98$	−1.43670e7	+	9.07095e7i	−0.155762	+	0.983441i
$99$			8.27894e6i			0.0861855i
$100$	1.60356e8	+	5.37591e7i	1.60356	+	0.537591i
$101$	2.23221e7			0.214511			0.107255	−	0.994232i	$-0.465794\pi$
$101$	2.23221e7			0.214511			0.107255	+	0.994232i	$0.465794\pi$
$102$	1.84371e8	+	2.92014e7i	1.70330	+	0.269776i
$103$	1.38264e7	+	2.71358e7i	0.122846	+	0.241098i	0.944237	−	0.329267i	$-0.106802\pi$
$103$	1.38264e7	+	2.71358e7i	0.122846	+	0.241098i	−0.821391	+	0.570365i	$0.806802\pi$
$104$	−7.03673e7	−	2.28637e7i	−0.601503	−	0.195440i
$105$	5.32963e7	−	1.61467e8i	0.438470	−	1.32839i
$106$	1.01169e8	+	3.11367e8i	0.801356	+	2.46632i
$107$	−1.27569e8	−	1.27569e8i	−0.973217	−	0.973217i	0.0264332	−	0.999651i	$-0.491585\pi$
$107$	−1.27569e8	−	1.27569e8i	−0.973217	−	0.973217i	−0.999651	+	0.0264332i	$0.991585\pi$
$108$	1.76974e8	+	9.01729e7i	1.30081	+	0.662798i
$109$	1.08060e8	−	1.48732e8i	0.765524	−	1.05365i	−0.231210	−	0.972904i	$-0.574268\pi$
$109$	1.08060e8	−	1.48732e8i	0.765524	−	1.05365i	0.996734	−	0.0807500i	$-0.0257316\pi$
$110$	−8.49001e7	+	4.27619e7i	−0.579879	+	0.292070i
$111$	−1.75219e8	+	1.27304e8i	−1.15422	+	0.838593i
$112$	5.27756e6	+	3.33212e7i	0.0335398	+	0.211762i
$113$	−1.16905e8	+	1.85159e7i	−0.716999	+	0.113561i	−0.504265	−	0.863549i	$-0.668237\pi$
$113$	−1.16905e8	+	1.85159e7i	−0.716999	+	0.113561i	−0.212733	+	0.977110i	$0.568237\pi$
$114$	2.07791e8	+	2.86000e8i	1.23029	+	1.69335i
$115$	1.41240e7	−	8.65645e7i	0.0807546	−	0.494935i
$116$	−1.92462e8	−	1.39832e8i	−1.06295	−	0.772278i
$117$	1.03317e7	−	2.02772e7i	0.0551354	−	0.108209i
$118$	−1.15814e8	+	1.15814e8i	−0.597354	+	0.597354i
$119$	2.30306e8	−	7.48310e7i	1.14846	−	0.373159i
$120$	1.20849e6	−	2.59496e8i	0.00582799	−	1.25143i
$121$	−5.58645e7	+	1.71933e8i	−0.260612	+	0.802082i
$122$	−5.35108e8	+	2.72651e8i	−2.41547	+	1.23075i
$123$	4.69637e7	−	2.96517e8i	0.205183	−	1.29548i
$124$		−	7.07867e8i		−	2.99409i
$125$	−2.44117e8	−	3.41081e6i	−0.999902	−	0.0139707i
$126$	−1.14141e8			−0.452856
$127$	3.27565e8	+	5.18813e7i	1.25917	+	0.199432i	0.750117	−	0.661305i	$-0.229997\pi$
$127$	3.27565e8	+	5.18813e7i	1.25917	+	0.199432i	0.509049	+	0.860737i	$0.329997\pi$
$128$	−2.10363e8	−	4.12862e8i	−0.783665	−	1.53803i
$129$	4.86282e8	+	1.58003e8i	1.75602	+	0.570566i
$130$	2.61306e8	+	1.21692e6i	0.914906	+	0.00426079i
$131$	4.11286e7	+	1.26581e8i	0.139656	+	0.429817i	0.996285	−	0.0861159i	$-0.0274455\pi$
$131$	4.11286e7	+	1.26581e8i	0.139656	+	0.429817i	−0.856629	+	0.515932i	$0.827446\pi$
$132$	1.58573e8	+	1.58573e8i	0.522316	+	0.522316i
$133$	4.08617e8	+	2.08201e8i	1.30590	+	0.665390i
$134$	−9.84945e7	+	1.35566e8i	−0.305487	+	0.420467i
$135$	−2.82976e8	−	4.61709e7i	−0.851952	−	0.139006i
$136$	2.98988e8	−	2.17227e8i	0.873972	−	0.634978i
$137$	−1.40603e7	−	8.87730e7i	−0.0399127	−	0.251999i	0.959662	−	0.281156i	$-0.0907178\pi$
$137$	−1.40603e7	−	8.87730e7i	−0.0399127	−	0.251999i	−0.999575	+	0.0291569i	$0.990718\pi$
$138$	−3.25200e8	+	5.15066e7i	−0.896672	+	0.142019i
$139$	−8.15677e7	−	1.12268e8i	−0.218504	−	0.300745i	0.685667	−	0.727915i	$-0.259510\pi$
$139$	−8.15677e7	−	1.12268e8i	−0.218504	−	0.300745i	−0.904171	+	0.427170i	$0.859510\pi$
$140$	−3.70494e8	−	7.35584e8i	−0.964426	−	1.91478i
$141$	−6.07774e8	−	4.41574e8i	−1.53768	−	1.11719i
$142$	2.78028e7	−	5.45660e7i	0.0683808	−	0.134205i
$143$	−6.52656e7	+	6.52656e7i	−0.156078	+	0.156078i
$144$	−1.50614e7	+	4.89375e6i	−0.0350280	+	0.0113813i
$145$	3.26105e8	+	1.07639e8i	0.737709	+	0.243500i
$146$	2.49175e7	−	7.66883e7i	0.0548395	−	0.168779i
$147$	−2.78664e8	+	1.41986e8i	−0.596776	+	0.304073i
$148$	−1.64114e8	+	1.03617e9i	−0.342056	+	2.15966i
$149$		−	5.65824e8i		−	1.14798i	−0.818861	−	0.573992i	$-0.805394\pi$
$149$		−	5.65824e8i		−	1.14798i	0.818861	−	0.573992i	$-0.194606\pi$
$150$	2.75079e8	+	8.74228e8i	0.543365	+	1.72687i
$151$	−6.77160e7			−0.130252			−0.0651259	−	0.997877i	$-0.520745\pi$
$151$	−6.77160e7			−0.130252			−0.0651259	+	0.997877i	$0.520745\pi$
$152$	6.91277e8	+	1.09487e8i	1.29502	+	0.205112i
$153$	5.16065e7	+	1.01283e8i	0.0941757	+	0.184830i
$154$	4.40273e8	+	1.43053e8i	0.782778	+	0.254340i
$155$	3.11233e8	+	9.73277e8i	0.539211	+	1.68620i
$156$	−1.90493e8	−	5.86276e8i	−0.321647	−	0.989928i
$157$	−1.86602e7	−	1.86602e7i	−0.0307128	−	0.0307128i	0.691584	−	0.722296i	$-0.256913\pi$
$157$	−1.86602e7	−	1.86602e7i	−0.0307128	−	0.0307128i	−0.722296	+	0.691584i	$0.756913\pi$
$158$	6.36766e8	+	3.24448e8i	1.02177	+	0.520616i
$159$	−6.55319e8	+	9.01969e8i	−1.02533	+	1.41125i
$160$	3.95093e8	+	3.98790e8i	0.602864	+	0.608506i
$161$	−3.45554e8	+	2.51059e8i	−0.514294	+	0.373657i
$162$	2.06864e8	+	1.30609e9i	0.300347	+	1.89632i
$163$	7.42463e8	−	1.17595e8i	1.05178	−	0.166585i	0.393473	−	0.919336i	$-0.371274\pi$
$163$	7.42463e8	−	1.17595e8i	1.05178	−	0.166585i	0.658305	+	0.752751i	$0.271274\pi$
$164$	−8.54744e8	−	1.17645e9i	−1.18157	−	1.62630i
$165$	−2.87749e8	−	1.48308e8i	−0.388221	−	0.200091i
$166$	−3.23468e8	−	2.35013e8i	−0.425990	−	0.309500i
$167$	2.89936e8	−	5.69031e8i	0.372765	−	0.731593i	−0.626074	−	0.779764i	$-0.715339\pi$
$167$	2.89936e8	−	5.69031e8i	0.372765	−	0.731593i	0.998839	+	0.0481706i	$0.0153391\pi$
$168$	−8.93579e8	+	8.93579e8i	−1.12175	+	1.12175i
$169$	−5.34506e8	+	1.73671e8i	−0.655248	+	0.212903i
$170$	−7.72101e8	+	1.05237e9i	−0.924440	+	1.26000i
$171$	−6.65237e7	+	2.04739e8i	−0.0778023	+	0.239451i
$172$	2.20674e9	−	1.12439e9i	2.52137	−	1.28470i
$173$	2.38508e8	−	1.50588e9i	0.266268	−	1.68115i	−0.385483	−	0.922715i	$-0.625965\pi$
$173$	2.38508e8	−	1.50588e9i	0.266268	−	1.68115i	0.651751	−	0.758433i	$-0.274035\pi$
$174$		−	1.28913e9i		−	1.40638i
$175$	8.32827e8	+	8.48487e8i	0.887979	+	0.904676i
$176$	6.42291e7			0.0669393
$177$	−5.50886e8	−	8.72518e7i	−0.561266	−	0.0888959i
$178$	−7.22801e7	−	1.41858e8i	−0.0720011	−	0.141310i
$179$	1.23809e9	+	4.02280e8i	1.20598	+	0.391847i	0.841958	−	0.539542i	$-0.181403\pi$
$179$	1.23809e9	+	4.02280e8i	1.20598	+	0.391847i	0.364024	+	0.931390i	$0.381403\pi$
$180$	3.13838e8	−	2.25791e8i	0.298961	−	0.215088i
$181$	−3.12383e8	−	9.61416e8i	−0.291054	−	0.895771i	−0.984519	−	0.175281i	$-0.943917\pi$
$181$	−3.12383e8	−	9.61416e8i	−0.291054	−	0.895771i	0.693465	−	0.720490i	$-0.256083\pi$
$182$	−8.99813e8	−	8.99813e8i	−0.820100	−	0.820100i
$183$	−1.82225e9	−	9.28485e8i	−1.62482	−	0.827886i
$184$	−3.83153e8	+	5.27365e8i	−0.334273	+	0.460087i
$185$	−2.29935e8	−	1.49683e9i	−0.196299	−	1.27787i
$186$	3.10328e9	−	2.25466e9i	2.59280	−	1.88378i
$187$	−7.21212e7	−	4.55355e8i	−0.0589788	−	0.372378i
$188$	−3.59412e9	+	5.69253e8i	−2.87714	+	0.455694i
$189$	8.20704e8	+	1.12960e9i	0.643190	+	0.885276i
$190$	−2.44319e9	+	3.75309e8i	−1.87475	+	0.287988i
$191$	9.26037e8	+	6.72805e8i	0.695817	+	0.505541i	0.878567	−	0.477619i	$-0.158500\pi$
$191$	9.26037e8	+	6.72805e8i	0.695817	+	0.505541i	−0.182750	+	0.983159i	$0.558500\pi$
$192$	1.07185e9	−	2.10363e9i	0.788735	−	1.54798i
$193$	−5.70639e7	+	5.70639e7i	−0.0411275	+	0.0411275i	−0.727371	−	0.686244i	$-0.759258\pi$
$193$	−5.70639e7	+	5.70639e7i	−0.0411275	+	0.0411275i	0.686244	+	0.727371i	$0.259258\pi$
$194$	−1.59654e9	+	5.18748e8i	−1.12713	+	0.366226i
$195$	5.19689e8	+	7.22340e8i	0.359422	+	0.499578i
$196$	−4.68134e8	+	1.44077e9i	−0.317209	+	0.976270i
$197$	−4.26962e8	+	2.17548e8i	−0.283481	+	0.144441i	−0.589950	−	0.807440i	$-0.700853\pi$
$197$	−4.26962e8	+	2.17548e8i	−0.283481	+	0.144441i	0.306469	+	0.951881i	$0.400853\pi$
$198$	−3.39943e7	+	2.14632e8i	−0.0221180	+	0.139647i
$199$			9.80734e8i			0.625373i	0.949856	+	0.312686i	$0.101229\pi$
$199$			9.80734e8i			0.625373i	−0.949856	+	0.312686i	$0.898771\pi$
$200$	1.60896e9	+	8.38773e8i	1.00560	+	0.524233i
$201$	−5.70638e8			−0.349604
$202$	5.78700e8	+	9.16570e7i	0.347574	+	0.0550504i
$203$	−7.59229e8	−	1.49007e9i	−0.447083	−	0.877451i
$204$	2.92842e9	+	9.51500e8i	1.69088	+	0.549399i
$205$	1.69248e9	+	1.24174e9i	0.958317	+	0.703100i
$206$	2.47026e8	+	7.60269e8i	0.137175	+	0.422181i
$207$	−1.41775e8	−	1.41775e8i	−0.0772182	−	0.0772182i
$208$	−1.57313e8	−	8.01550e7i	−0.0840449	−	0.0428230i
$209$	5.13199e8	−	7.06357e8i	0.268968	−	0.370202i
$210$	2.04471e9	−	3.96718e9i	1.05137	−	2.03988i
$211$	−1.97249e9	+	1.43310e9i	−0.995144	+	0.723014i	−0.961042	−	0.276404i	$-0.910857\pi$
$211$	−1.97249e9	+	1.43310e9i	−0.995144	+	0.723014i	−0.0341024	+	0.999418i	$0.510857\pi$
$212$	8.44801e8	+	5.33386e9i	0.418226	+	2.64057i
$213$	2.05982e8	−	3.26243e7i	0.100071	−	0.0158497i
$214$	−2.78341e9	−	3.83104e9i	−1.32716	−	1.82668i
$215$	−2.53977e9	+	2.51622e9i	−1.18861	+	1.17759i
$216$	1.72394e9	+	1.25251e9i	0.791967	+	0.575397i
$217$	2.25911e9	−	4.43375e9i	1.01882	−	1.99955i
$218$	3.41217e9	−	3.41217e9i	1.51079	−	1.51079i
$219$	2.61154e8	−	8.48540e7i	0.113532	−	0.0368889i
$220$	−1.49354e9	+	4.77601e8i	−0.637566	+	0.203880i
$221$	−3.91620e8	+	1.20528e9i	−0.164171	+	0.505265i
$222$	−5.06529e9	+	2.58089e9i	−2.08541	+	1.06257i
$223$	−4.82516e8	+	3.04649e9i	−0.195116	+	1.23191i	0.674534	+	0.738243i	$0.264344\pi$
$223$	−4.82516e8	+	3.04649e9i	−0.195116	+	1.23191i	−0.869650	+	0.493669i	$0.835656\pi$
$224$		−	2.73375e9i		−	1.08584i
$225$	−3.32233e8	+	4.48437e8i	−0.129632	+	0.174973i
$226$	−3.10678e9			−1.19091
$227$	−1.79724e9	−	2.84655e8i	−0.676867	−	0.107205i	−0.191469	−	0.981499i	$-0.561325\pi$
$227$	−1.79724e9	−	2.84655e8i	−0.676867	−	0.107205i	−0.485398	+	0.874293i	$0.661325\pi$
$228$	2.64734e9	+	5.19570e9i	0.979649	+	1.92267i
$229$	2.53234e9	+	8.22807e8i	0.920831	+	0.299196i	0.730808	−	0.682583i	$-0.239144\pi$
$229$	2.53234e9	+	8.22807e8i	0.920831	+	0.299196i	0.190024	+	0.981780i	$0.439144\pi$
$230$	7.21609e8	−	2.18619e9i	0.257864	−	0.781226i
$231$	4.87152e8	+	1.49930e9i	0.171087	+	0.526552i
$232$	−1.80471e9	−	1.80471e9i	−0.622953	−	0.622953i
$233$	−1.31586e8	−	6.70462e7i	−0.0446462	−	0.0227484i	0.431525	−	0.902101i	$-0.357976\pi$
$233$	−1.31586e8	−	6.70462e7i	−0.0446462	−	0.0227484i	−0.476171	+	0.879353i	$0.657976\pi$
$234$	3.51111e8	−	4.83263e8i	0.117107	−	0.161183i
$235$	4.69142e9	−	2.36294e9i	1.53827	−	0.774786i
$236$	−2.18568e9	+	1.58799e9i	−0.704595	+	0.511918i
$237$	3.80714e8	+	2.40373e9i	0.120672	+	0.761891i
$238$	6.27795e9	−	9.94330e8i	1.95664	−	0.309901i
$239$	8.77992e8	+	1.20845e9i	0.269091	+	0.370372i	0.922083	−	0.386993i	$-0.126486\pi$
$239$	8.77992e8	+	1.20845e9i	0.269091	+	0.370372i	−0.652992	+	0.757365i	$0.726486\pi$
$240$	9.97166e7	−	6.11152e8i	0.0300554	−	0.184206i
$241$	−1.42913e9	−	1.03832e9i	−0.423646	−	0.307797i	0.355457	−	0.934693i	$-0.384325\pi$
$241$	−1.42913e9	−	1.03832e9i	−0.423646	−	0.307797i	−0.779103	+	0.626896i	$0.784325\pi$
$242$	−2.15427e9	+	4.22799e9i	−0.628113	+	1.23274i
$243$	−1.05594e9	+	1.05594e9i	−0.302840	+	0.302840i
$244$	−9.42154e9	+	3.06125e9i	−2.65805	+	0.863652i
$245$	1.01841e7	−	2.18680e9i	0.00282656	−	0.606939i
$246$	2.43507e9	−	7.49437e9i	0.664922	−	2.04642i
$247$	−2.13845e9	+	1.08960e9i	−0.574529	+	0.292737i
$248$	1.18801e9	−	7.50079e9i	0.314060	−	1.98290i
$249$		−	1.36157e9i		−	0.354196i
$250$	−6.31472e9	−	1.09080e9i	−1.61657	−	0.279244i
$251$	2.71274e9			0.683461			0.341731	−	0.939798i	$-0.388987\pi$
$251$	2.71274e9			0.683461			0.341731	+	0.939798i	$0.388987\pi$
$252$	−1.85959e9	−	2.94530e8i	−0.461122	−	0.0730345i
$253$	3.69178e8	+	7.24552e8i	0.0901059	+	0.176843i
$254$	8.27911e9	+	2.69004e9i	1.98906	+	0.646286i
$255$	−4.44476e9	−	2.06996e7i	−1.05120	−	0.00489554i
$256$	−1.66890e9	−	5.13635e9i	−0.388572	−	1.19590i
$257$	2.13128e9	+	2.13128e9i	0.488550	+	0.488550i	0.907848	−	0.419299i	$-0.137724\pi$
$257$	2.13128e9	+	2.13128e9i	0.488550	+	0.488550i	−0.419299	+	0.907848i	$0.637724\pi$
$258$	1.19581e10	+	6.09295e9i	2.69888	+	1.37515i
$259$	−4.33481e9	+	5.96635e9i	−0.963320	+	1.32590i
$260$	4.25407e9	+	6.94102e8i	0.930917	+	0.151890i
$261$	6.35100e8	−	4.61427e8i	0.136861	−	0.0994354i
$262$	5.46504e8	+	3.45049e9i	0.115981	+	0.732278i
$263$	−2.41899e9	+	3.83131e8i	−0.505605	+	0.0800800i	−0.404026	−	0.914747i	$-0.632390\pi$
$263$	−2.41899e9	+	3.83131e8i	−0.505605	+	0.0800800i	−0.101579	+	0.994827i	$0.532390\pi$
$264$	1.41416e9	+	1.94642e9i	0.291126	+	0.400701i
$265$	−3.50673e9	−	6.96231e9i	−0.711080	−	1.41179i
$266$	9.73851e9	+	7.07544e9i	1.94521	+	1.41328i
$267$	2.46142e8	−	4.83081e8i	0.0484330	−	0.0950550i
$268$	−1.95449e9	+	1.95449e9i	−0.378873	+	0.378873i
$269$	1.44653e9	−	4.70007e8i	0.276261	−	0.0897626i	−0.167610	−	0.985853i	$-0.553605\pi$
$269$	1.44653e9	−	4.70007e8i	0.276261	−	0.0897626i	0.443871	+	0.896091i	$0.353605\pi$
$270$	−7.14658e9	−	2.35892e9i	−1.34476	−	0.443872i
$271$	−1.16964e9	+	3.59978e9i	−0.216858	+	0.667419i	0.782159	+	0.623079i	$0.214119\pi$
$271$	−1.16964e9	+	3.59978e9i	−0.216858	+	0.667419i	−0.999016	+	0.0443403i	$0.985881\pi$
$272$	7.85770e8	−	4.00370e8i	0.143555	−	0.0731452i
$273$	6.77902e8	−	4.28011e9i	0.122044	−	0.770556i
$274$		−	2.35917e9i		−	0.418560i
$275$	1.84354e9	−	1.31335e9i	0.322345	−	0.229641i
$276$	−5.43106e9			−0.935941
$277$	8.43406e9	+	1.33582e9i	1.43258	+	0.226898i	0.823996	−	0.566595i	$-0.191740\pi$
$277$	8.43406e9	+	1.33582e9i	1.43258	+	0.226898i	0.608580	+	0.793493i	$0.291740\pi$
$278$	−1.65366e9	−	3.24548e9i	−0.276864	−	0.543376i
$279$	2.22155e9	+	7.21824e8i	0.366639	+	0.119128i
$280$	−2.69135e9	−	8.41627e9i	−0.437862	−	1.36927i
$281$	3.04711e8	+	9.37803e8i	0.0488723	+	0.150413i	0.972514	−	0.232843i	$-0.0748027\pi$
$281$	3.04711e8	+	9.37803e8i	0.0488723	+	0.150413i	−0.923642	+	0.383256i	$0.874803\pi$
$282$	−1.39434e10	−	1.39434e10i	−2.20482	−	2.20482i
$283$	−4.52252e9	−	2.30434e9i	−0.705074	−	0.359253i	0.0644065	−	0.997924i	$-0.479485\pi$
$283$	−4.52252e9	−	2.30434e9i	−0.705074	−	0.359253i	−0.769480	+	0.638671i	$0.779485\pi$
$284$	5.93765e8	−	8.17248e8i	0.0912728	−	0.125626i
$285$	−5.92437e9	−	5.97981e9i	−0.897972	−	0.906375i
$286$	−1.96000e9	+	1.42402e9i	−0.292949	+	0.212840i
$287$	−1.59915e9	−	1.00966e10i	−0.235701	−	1.48816i
$288$	1.26747e9	−	2.00747e8i	0.184233	−	0.0291796i
$289$	3.79486e8	+	5.22318e8i	0.0544008	+	0.0748762i
$290$	8.01229e9	+	4.12958e9i	1.13283	+	0.583867i
$291$	−4.62486e9	−	3.36016e9i	−0.644951	−	0.468584i
$292$	6.03843e8	−	1.18511e9i	0.0830602	−	0.163015i
$293$	−8.24867e9	+	8.24867e9i	−1.11922	+	1.11922i	−0.127359	+	0.991857i	$0.540650\pi$
$293$	−8.24867e9	+	8.24867e9i	−1.11922	+	1.11922i	−0.991857	+	0.127359i	$0.959350\pi$
$294$	−7.80738e9	+	2.53677e9i	−1.04500	+	0.339541i
$295$	2.30699e9	−	3.14439e9i	0.304619	−	0.415192i
$296$	−3.47800e9	+	1.07042e10i	−0.453067	+	1.39440i
$297$	2.36854e9	−	1.20683e9i	0.304407	−	0.155103i
$298$	2.32334e9	−	1.46690e10i	0.294610	−	1.86009i
$299$		−	2.23533e9i		−	0.279677i
$300$	2.22573e9	+	1.49528e10i	0.274781	+	1.84602i
$301$	1.74104e10			2.12101
$302$	−1.75554e9	−	2.78050e8i	−0.211049	−	0.0334268i
$303$	9.05831e8	+	1.77779e9i	0.107467	+	0.210917i
$304$	1.58839e9	+	5.16100e8i	0.185979	+	0.0604281i
$305$	1.16081e10	−	8.35147e9i	1.34141	−	0.965081i
$306$	9.22017e8	+	2.83768e9i	0.105161	+	0.323651i
$307$	1.15862e10	+	1.15862e10i	1.30433	+	1.30433i	0.925441	+	0.378891i	$0.123695\pi$
$307$	1.15862e10	+	1.15862e10i	1.30433	+	1.30433i	0.378891	+	0.925441i	$0.376305\pi$
$308$	6.80379e9	+	3.46671e9i	0.756046	+	0.385225i
$309$	−1.60010e9	+	2.20235e9i	−0.175514	+	0.241575i
$310$	4.07233e9	+	2.65102e10i	0.440957	+	2.87055i
$311$	−1.18314e10	+	8.59603e9i	−1.26472	+	0.918875i	−0.998979	−	0.0451689i	$-0.985617\pi$
$311$	−1.18314e10	+	8.59603e9i	−1.26472	+	0.918875i	−0.265743	+	0.964044i	$0.585617\pi$
$312$	−1.03458e9	−	6.53207e9i	−0.109180	−	0.689338i
$313$	1.53422e9	−	2.42996e8i	0.159849	−	0.0253176i	−0.0759969	−	0.997108i	$-0.524214\pi$
$313$	1.53422e9	−	2.42996e8i	0.159849	−	0.0253176i	0.235846	+	0.971790i	$0.424214\pi$
$314$	−4.07146e8	−	5.60388e8i	−0.0418824	−	0.0576462i
$315$	2.68633e9	−	4.12658e8i	0.272846	−	0.0419129i
$316$	9.53699e9	+	6.92903e9i	0.956452	+	0.694903i
$317$	−7.49290e8	+	1.47056e9i	−0.0742015	+	0.145629i	−0.925127	−	0.379658i	$-0.876042\pi$
$317$	−7.49290e8	+	1.47056e9i	−0.0742015	+	0.145629i	0.850926	+	0.525286i	$0.176042\pi$
$318$	−2.06927e10	+	2.06927e10i	−2.02353	+	2.02353i
$319$	−3.02805e9	+	9.83873e8i	−0.292416	+	0.0950116i
$320$	9.64105e9	+	1.34006e10i	0.919442	+	1.27798i
$321$	4.98320e9	−	1.53367e10i	0.469341	−	1.44448i
$322$	−9.98936e9	+	5.08983e9i	−0.929210	+	0.473456i
$323$	1.87535e9	−	1.18405e10i	0.172295	−	1.08783i
$324$			2.18126e10i			1.97937i
$325$	−6.15428e9	+	9.16067e8i	−0.551625	+	0.0821096i
$326$	1.97312e10			1.74696
$327$	1.62305e10	+	2.57066e9i	1.41952	+	0.224830i
$328$	−7.08270e9	−	1.39006e10i	−0.611933	−	1.20099i
$329$	−2.43286e10	−	7.90485e9i	−2.07651	−	0.674699i
$330$	−6.85093e9	−	5.02641e9i	−0.577689	−	0.423840i
$331$	−7.30914e8	−	2.24952e9i	−0.0608911	−	0.187404i	0.915984	−	0.401215i	$-0.131412\pi$
$331$	−7.30914e8	−	2.24952e9i	−0.0608911	−	0.187404i	−0.976875	+	0.213812i	$0.931412\pi$
$332$	−4.66352e9	−	4.66352e9i	−0.383850	−	0.383850i
$333$	−3.08454e9	−	1.57165e9i	−0.250850	−	0.127814i
$334$	9.85309e9	−	1.35616e10i	0.791747	−	1.08975i
$335$	1.82796e9	−	3.54665e9i	0.145141	−	0.281604i
$336$	−2.43963e9	+	1.77250e9i	−0.191411	+	0.139068i
$337$	−1.54779e9	−	9.77238e9i	−0.120003	−	0.757671i	−0.972148	−	0.234366i	$-0.924699\pi$
$337$	−1.54779e9	−	9.77238e9i	−0.120003	−	0.757671i	0.852145	−	0.523305i	$-0.175301\pi$
$338$	−1.45702e10	+	2.30769e9i	−1.11634	+	0.176812i
$339$	−6.21866e9	−	8.55926e9i	−0.470867	−	0.648093i
$340$	−1.52946e10	+	1.51528e10i	−1.14452	+	1.13391i
$341$	−7.66442e9	−	5.56853e9i	−0.566842	−	0.411835i
$342$	−2.56531e9	+	5.03471e9i	−0.187515	+	0.368018i
$343$	4.87658e9	−	4.87658e9i	0.352321	−	0.352321i
$344$	2.52704e10	−	8.21084e9i	1.80459	−	0.586346i
$345$	7.46740e9	−	2.38792e9i	0.527100	−	0.168555i
$346$	1.23666e10	−	3.80606e10i	0.862874	−	2.65565i
$347$	−1.57725e10	+	8.03649e9i	−1.08788	+	0.554304i	−0.903517	−	0.428553i	$-0.859024\pi$
$347$	−1.57725e10	+	8.03649e9i	−1.08788	+	0.554304i	−0.184367	+	0.982857i	$0.559024\pi$
$348$	3.32649e9	−	2.10026e10i	0.226813	−	1.43204i
$349$			2.10952e10i			1.42194i	0.703222	+	0.710970i	$0.251744\pi$
$349$			2.10952e10i			1.42194i	−0.703222	+	0.710970i	$0.748256\pi$
$350$	1.81071e10	+	2.54167e10i	1.20663	+	1.69374i
$351$	−7.30720e9			−0.481418
$352$	−5.14056e9	−	8.14184e8i	−0.334842	−	0.0530337i
$353$	−3.73311e9	−	7.32663e9i	−0.240421	−	0.471852i	0.738994	−	0.673712i	$-0.235301\pi$
$353$	−3.73311e9	−	7.32663e9i	−0.240421	−	0.471852i	−0.979414	+	0.201860i	$0.935301\pi$
$354$	−1.39235e10	−	4.52401e9i	−0.886614	−	0.288078i
$355$	−4.57068e8	+	1.38473e9i	−0.0287784	+	0.0871872i
$356$	−8.11539e8	−	2.49766e9i	−0.0505254	−	0.155501i
$357$	1.53056e10	+	1.53056e10i	0.942275	+	0.942275i
$358$	3.04457e10	+	1.55129e10i	1.85351	+	0.944409i
$359$	1.26685e10	−	1.74366e10i	0.762687	−	1.04975i	−0.234299	−	0.972165i	$-0.575279\pi$
$359$	1.26685e10	−	1.74366e10i	0.762687	−	1.04975i	0.996986	−	0.0775838i	$-0.0247205\pi$
$360$	3.70447e9	−	1.86584e9i	0.220554	−	0.111087i
$361$	4.62725e9	−	3.36189e9i	0.272455	−	0.197950i
$362$	−4.15084e9	−	2.62074e10i	−0.241714	−	1.52612i
$363$	−1.59603e10	+	2.52786e9i	−0.919207	+	0.145588i
$364$	−1.23379e10	−	1.69817e10i	−0.702806	−	0.967329i
$365$	−3.09184e8	+	1.89495e9i	−0.0174199	+	0.106765i
$366$	−4.34295e10	−	3.15534e10i	−2.42025	−	1.75841i
$367$	−1.23629e10	+	2.42636e10i	−0.681486	+	1.33749i	0.248045	+	0.968749i	$0.420212\pi$
$367$	−1.23629e10	+	2.42636e10i	−0.681486	+	1.33749i	−0.929531	+	0.368744i	$0.879788\pi$
$368$	−1.09991e9	+	1.09991e9i	−0.0599745	+	0.0599745i
$369$	4.56374e9	−	1.48285e9i	0.246159	−	0.0799819i
$370$	1.85117e8	−	3.97496e10i	0.00987731	−	2.12093i
$371$	−1.17312e10	+	3.61050e10i	−0.619223	+	1.90577i
$372$	5.63766e10	−	2.87253e10i	2.94393	−	1.50001i
$373$	−3.90844e9	+	2.46769e10i	−0.201915	+	1.27484i	0.653513	+	0.756916i	$0.273295\pi$
$373$	−3.90844e9	+	2.46769e10i	−0.201915	+	1.27484i	−0.855427	+	0.517923i	$0.826705\pi$
$374$		−	1.21012e10i		−	0.618504i
$375$	−9.63463e9	−	1.95806e10i	−0.487203	−	0.990149i
$376$	−3.90398e10			−1.95324
$377$	8.64428e9	+	1.36912e9i	0.427921	+	0.0677760i
$378$	1.66385e10	+	3.26549e10i	0.814979	+	1.59949i
$379$	3.86833e10	+	1.25690e10i	1.87485	+	0.609175i	0.989558	+	0.144138i	$0.0460408\pi$
$379$	3.86833e10	+	1.25690e10i	1.87485	+	0.609175i	0.885291	+	0.465038i	$0.153959\pi$
$380$	−4.07730e10	−	1.89883e8i	−1.95541	−	0.00910649i
$381$	9.16066e9	+	2.81936e10i	0.434737	+	1.33798i
$382$	2.12449e10	+	2.12449e10i	0.997703	+	0.997703i
$383$	5.96689e9	+	3.04028e9i	0.277302	+	0.141293i	0.587111	−	0.809506i	$-0.300265\pi$
$383$	5.96689e9	+	3.04028e9i	0.277302	+	0.141293i	−0.309809	+	0.950799i	$0.600265\pi$
$384$	2.43449e10	−	3.35079e10i	1.11965	−	1.54107i
$385$	−1.08791e10	−	1.77505e9i	−0.495163	−	0.0807917i
$386$	−1.71369e9	+	1.24507e9i	−0.0771941	+	0.0560848i
$387$	1.27850e9	+	8.07211e9i	0.0569975	+	0.359868i
$388$	−2.73495e10	+	4.33173e9i	−1.20676	+	0.191132i
$389$	−1.08222e10	−	1.48954e10i	−0.472624	−	0.650511i	0.504443	−	0.863445i	$-0.331698\pi$
$389$	−1.08222e10	−	1.48954e10i	−0.472624	−	0.650511i	−0.977067	+	0.212934i	$0.931698\pi$
$390$	1.05069e10	+	2.08606e10i	0.454168	+	0.901712i
$391$	9.03294e9	+	6.56282e9i	0.386476	+	0.280791i
$392$	−7.37852e9	+	1.44812e10i	−0.312482	+	0.613281i
$393$	−8.41227e9	+	8.41227e9i	−0.352649	+	0.352649i
$394$	−1.19623e10	+	3.88678e9i	−0.496397	+	0.161289i
$395$	−1.61593e10	−	5.33382e9i	−0.663797	−	0.219104i
$396$	−1.10767e9	+	3.40906e9i	−0.0450433	+	0.138629i
$397$	4.29759e10	−	2.18973e10i	1.73007	−	0.881513i	0.756217	−	0.654321i	$-0.227045\pi$
$397$	4.29759e10	−	2.18973e10i	1.73007	−	0.881513i	0.973850	−	0.227192i	$-0.0729546\pi$
$398$	−4.02701e9	+	2.54255e10i	−0.160491	+	1.01330i
$399$			4.09923e10i			1.61737i
$400$	3.47903e9	+	2.57751e9i	0.135900	+	0.100684i
$401$	−3.18189e10			−1.23058			−0.615288	−	0.788303i	$-0.710960\pi$
$401$	−3.18189e10			−1.23058			−0.615288	+	0.788303i	$0.710960\pi$
$402$	−1.47938e10	−	2.34311e9i	−0.566468	−	0.0897197i
$403$	1.18228e10	+	2.32036e10i	0.448229	+	0.879700i
$404$	9.19167e9	+	2.98656e9i	0.345040	+	0.112110i
$405$	−9.59048e9	−	2.99910e10i	−0.356468	−	1.11473i
$406$	−1.35646e10	−	4.17476e10i	−0.499233	−	1.53648i
$407$	9.92812e9	+	9.92812e9i	0.361817	+	0.361817i
$408$	2.94335e10	+	1.49971e10i	1.06219	+	0.541212i
$409$	−9.34428e9	+	1.28613e10i	−0.333928	+	0.459612i	−0.942656	−	0.333767i	$-0.891680\pi$
$409$	−9.34428e9	+	1.28613e10i	−0.333928	+	0.459612i	0.608728	+	0.793379i	$0.291680\pi$
$410$	3.87789e10	+	3.91418e10i	1.37233	+	1.38518i
$411$	6.49957e9	−	4.72222e9i	0.227781	−	0.165493i
$412$	2.06276e9	+	1.30237e10i	0.0715912	+	0.452009i
$413$	−1.87581e10	+	2.97099e9i	−0.644746	+	0.102118i
$414$	−3.09338e9	−	4.25768e9i	−0.105301	−	0.144934i
$415$	8.46251e9	+	4.36162e9i	0.285303	+	0.147047i
$416$	1.15744e10	+	8.40932e9i	0.386480	+	0.280794i
$417$	5.63135e9	−	1.10521e10i	0.186238	−	0.365513i
$418$	1.62051e10	−	1.62051e10i	0.530818	−	0.530818i
$419$	3.43172e10	−	1.11503e10i	1.11341	−	0.361769i	0.306161	−	0.951980i	$-0.400955\pi$
$419$	3.43172e10	−	1.11503e10i	1.11341	−	0.361769i	0.807249	+	0.590211i	$0.200955\pi$
$420$	4.35493e10	−	5.93572e10i	1.39954	−	1.90755i
$421$	2.05416e9	−	6.32207e9i	0.0653893	−	0.201248i	−0.913024	−	0.407906i	$-0.866259\pi$
$421$	2.05416e9	−	6.32207e9i	0.0653893	−	0.201248i	0.978413	+	0.206659i	$0.0662590\pi$
$422$	−5.70214e10	+	2.90539e10i	−1.79799	+	0.916123i
$423$	1.87846e9	−	1.18601e10i	0.0586733	−	0.370449i
$424$			5.79371e10i			1.79264i
$425$	1.43669e10	−	2.75589e10i	0.440358	−	0.844709i
$426$	5.47403e9			0.166214
$427$	−6.87820e10	−	1.08940e10i	−2.06901	−	0.327699i
$428$	−3.54618e10	−	6.95977e10i	−1.05678	−	2.07405i
$429$	−7.84643e9	−	2.54946e9i	−0.231656	−	0.0752695i
$430$	−7.61754e10	+	5.48045e10i	−2.22813	+	1.60303i
$431$	2.80437e9	+	8.63096e9i	0.0812692	+	0.250121i	0.983433	−	0.181273i	$-0.0580218\pi$
$431$	2.80437e9	+	8.63096e9i	0.0812692	+	0.250121i	−0.902164	+	0.431394i	$0.858022\pi$
$432$	3.59558e9	+	3.59558e9i	0.103237	+	0.103237i
$433$	−9.47167e9	−	4.82606e9i	−0.269448	−	0.137291i	0.314047	−	0.949408i	$-0.398315\pi$
$433$	−9.47167e9	−	4.82606e9i	−0.269448	−	0.137291i	−0.583495	+	0.812117i	$0.698315\pi$
$434$	7.67730e10	−	1.05669e11i	2.16396	−	2.97844i
$435$	4.66064e9	+	3.03399e10i	0.130163	+	0.847340i
$436$	6.43958e10	−	4.67863e10i	1.78202	−	1.29471i
$437$	3.30781e9	+	2.08847e10i	0.0907016	+	0.572667i
$438$	7.11883e9	−	1.12751e9i	0.193425	−	0.0306355i
$439$	−1.08523e10	−	1.49369e10i	−0.292188	−	0.402162i	0.637535	−	0.770421i	$-0.279954\pi$
$439$	−1.08523e10	−	1.49369e10i	−0.292188	−	0.402162i	−0.929723	+	0.368259i	$0.879954\pi$
$440$	−1.66275e10	+	2.55422e9i	−0.443626	+	0.0681472i
$441$	−4.04429e9	−	2.93835e9i	−0.106927	−	0.0776872i
$442$	−1.51018e10	+	2.96389e10i	−0.395675	+	0.776556i
$443$	5.99334e9	−	5.99334e9i	0.155616	−	0.155616i	−0.625005	−	0.780621i	$-0.714903\pi$
$443$	5.99334e9	−	5.99334e9i	0.155616	−	0.155616i	0.780621	+	0.625005i	$0.214903\pi$
$444$	−8.91835e10	+	2.89775e10i	−2.29484	+	0.745639i
$445$	2.21398e9	+	3.07732e9i	0.0564592	+	0.0784753i
$446$	−2.50185e10	+	7.69989e10i	−0.632297	+	1.94601i
$447$	4.50638e10	−	2.29612e10i	1.12875	−	0.575127i
$448$	1.25762e10	−	7.94028e10i	0.312202	−	1.97117i
$449$			2.91203e10i			0.716491i	0.933627	+	0.358245i	$0.116625\pi$
$449$			2.91203e10i			0.716491i	−0.933627	+	0.358245i	$0.883375\pi$
$450$	−1.04545e10	+	1.02615e10i	−0.254949	+	0.250243i
$451$	−1.94620e10			−0.470415
$452$	−5.06158e10	−	8.01675e9i	−1.21264	−	0.192063i
$453$	−2.74792e9	−	5.39310e9i	−0.0652547	−	0.128070i
$454$	−4.54247e10	−	1.47594e10i	−1.06922	−	0.347412i
$455$	2.44303e10	+	1.79241e10i	0.570012	+	0.418207i
$456$	1.93322e10	+	5.94983e10i	0.447117	+	1.37608i
$457$	−1.37215e10	−	1.37215e10i	−0.314584	−	0.314584i	0.532098	−	0.846683i	$-0.321404\pi$
$457$	−1.37215e10	−	1.37215e10i	−0.314584	−	0.314584i	−0.846683	+	0.532098i	$0.821404\pi$
$458$	6.22724e10	+	3.17294e10i	1.41525	+	0.721107i
$459$	2.14536e10	−	2.95284e10i	0.483337	−	0.665256i
$460$	1.73977e10	−	3.37554e10i	0.388563	−	0.753897i
$461$	4.00536e10	−	2.91007e10i	0.886826	−	0.644317i	−0.0482227	−	0.998837i	$-0.515356\pi$
$461$	4.00536e10	−	2.91007e10i	0.886826	−	0.644317i	0.935048	+	0.354520i	$0.115356\pi$
$462$	6.47312e9	+	4.08697e10i	0.142084	+	0.897085i
$463$	5.89070e9	−	9.32995e8i	0.128187	−	0.0203028i	−0.0920114	−	0.995758i	$-0.529330\pi$
$463$	5.89070e9	−	9.32995e8i	0.128187	−	0.0203028i	0.220198	+	0.975455i	$0.429330\pi$
$464$	−3.57981e9	−	4.92718e9i	−0.0772303	−	0.106298i
$465$	−6.48847e10	+	6.42831e10i	−1.38781	+	1.37495i
$466$	−3.13606e9	−	2.27848e9i	−0.0665028	−	0.0483171i
$467$	2.41852e10	−	4.74661e10i	0.508490	−	0.997967i	−0.483934	−	0.875105i	$-0.660793\pi$
$467$	2.41852e10	−	4.74661e10i	0.508490	−	0.997967i	0.992424	−	0.122863i	$-0.0392075\pi$
$468$	6.96732e9	−	6.96732e9i	0.145239	−	0.145239i
$469$	−1.84796e10	+	6.00440e9i	−0.381946	+	0.124102i
$470$	1.31328e11	−	4.19958e10i	2.69131	−	0.860625i
$471$	7.28922e8	−	2.24339e9i	0.0148114	−	0.0455849i
$472$	−2.58253e10	+	1.31587e10i	−0.520329	+	0.265121i
$473$	5.18528e9	−	3.27386e10i	0.103592	−	0.654056i
$474$			6.38800e10i			1.26547i
$475$	5.61440e10	−	1.76659e10i	1.10288	−	0.347025i
$476$	1.04846e11			2.04233
$477$	−1.76011e10	−	2.78773e9i	−0.339989	−	0.0538490i
$478$	1.77999e10	+	3.49343e10i	0.340962	+	0.669176i
$479$	−7.62757e10	−	2.47835e10i	−1.44892	−	0.470783i	−0.524254	−	0.851562i	$-0.675656\pi$
$479$	−7.62757e10	−	2.47835e10i	−1.44892	−	0.470783i	−0.924666	+	0.380779i	$0.875656\pi$
$480$	−1.57279e10	+	4.76493e10i	−0.296282	+	0.897618i
$481$	−1.19266e10	−	3.67063e10i	−0.222811	−	0.685741i
$482$	−3.27867e10	−	3.27867e10i	−0.607449	−	0.607449i
$483$	−3.40177e10	−	1.73329e10i	−0.625052	−	0.318480i
$484$	−4.60073e10	+	6.33236e10i	−0.838388	+	1.15394i
$485$	3.56994e10	−	1.79808e10i	0.645199	−	0.324969i
$486$	−3.17110e10	+	2.30394e10i	−0.568414	+	0.412977i
$487$	−1.52565e10	−	9.63260e10i	−0.271232	−	1.71249i	−0.627930	−	0.778270i	$-0.716098\pi$
$487$	−1.52565e10	−	9.63260e10i	−0.271232	−	1.71249i	0.356699	−	0.934220i	$-0.383902\pi$
$488$	−1.04971e11	+	1.66258e10i	−1.85094	+	0.293159i
$489$	3.94948e10	+	5.43599e10i	0.690723	+	0.950699i
$490$	9.24328e9	−	5.66510e10i	0.160340	−	0.982705i
$491$	−9.72743e9	−	7.06739e9i	−0.167368	−	0.121600i	0.500948	−	0.865477i	$-0.332985\pi$
$491$	−9.72743e9	−	7.06739e9i	−0.167368	−	0.121600i	−0.668316	+	0.743877i	$0.732985\pi$
$492$	5.90106e10	−	1.15815e11i	1.00709	−	1.97653i
$493$	−3.09118e10	+	3.09118e10i	−0.523284	+	0.523284i
$494$	−5.99134e10	+	1.94671e10i	−1.00604	+	0.326883i
$495$	2.40970e7	−	5.17428e9i	0.000401368	−	0.0861845i
$496$	5.60000e9	−	1.72350e10i	0.0925255	−	0.284764i
$497$	6.32726e9	−	3.22390e9i	0.103703	−	0.0528392i
$498$	5.59078e9	−	3.52988e10i	0.0908981	−	0.573908i
$499$			2.01022e10i			0.324221i	0.986773	+	0.162111i	$0.0518301\pi$
$499$			2.01022e10i			0.324221i	−0.986773	+	0.162111i	$0.948170\pi$
$500$	−1.00065e11	−	3.40658e10i	−1.60104	−	0.545053i
$501$	5.70848e10			0.906087
$502$	7.03279e10	+	1.11388e10i	1.10742	+	0.175398i
$503$	−4.75944e10	−	9.34093e10i	−0.743506	−	1.45921i	−0.883190	−	0.469016i	$-0.844609\pi$
$503$	−4.75944e10	−	9.34093e10i	−0.743506	−	1.45921i	0.139684	−	0.990196i	$-0.455391\pi$
$504$	−1.92105e10	−	6.24188e9i	−0.297726	−	0.0967371i
$505$	−1.39511e10	−	6.49715e7i	−0.214508	−	0.000998981i
$506$	6.59584e9	+	2.02999e10i	0.100616	+	0.309665i
$507$	−3.55220e10	−	3.55220e10i	−0.537608	−	0.537608i
$508$	1.27942e11	+	6.51897e10i	1.92114	+	0.978868i
$509$	−4.86433e10	+	6.69517e10i	−0.724689	+	0.997449i	0.274666	+	0.961540i	$0.411433\pi$
$509$	−4.86433e10	+	6.69517e10i	−0.724689	+	0.997449i	−0.999355	+	0.0359090i	$0.988567\pi$
$510$	−1.15145e11	−	1.87873e10i	−1.70202	−	0.277705i
$511$	7.56439e9	−	5.49585e9i	0.110941	−	0.0806030i
$512$	−3.61933e9	−	2.28516e10i	−0.0526682	−	0.332534i
$513$	6.82713e10	−	1.08131e10i	0.985755	−	0.156128i
$514$	4.65023e10	+	6.40049e10i	0.666226	+	0.916981i
$515$	−8.56242e9	−	1.69999e10i	−0.121722	−	0.241668i
$516$	1.79099e11	+	1.30123e11i	2.52636	+	1.83551i
$517$	−2.21100e10	+	4.33934e10i	−0.309476	+	0.607381i
$518$	−1.36878e11	+	1.36878e11i	−1.90115	+	1.90115i
$519$	1.29611e11	−	4.21133e10i	1.78638	−	0.580430i
$520$	4.39125e10	+	1.44945e10i	0.600586	+	0.198239i
$521$	−2.85939e10	+	8.80029e10i	−0.388081	+	1.19439i	0.546140	+	0.837694i	$0.316097\pi$
$521$	−2.85939e10	+	8.80029e10i	−0.388081	+	1.19439i	−0.934221	+	0.356695i	$0.883903\pi$
$522$	1.83596e10	−	9.35470e9i	0.247276	−	0.125993i
$523$	1.47206e10	−	9.29419e10i	0.196751	−	1.24224i	−0.669569	−	0.742750i	$-0.733521\pi$
$523$	1.47206e10	−	9.29419e10i	0.196751	−	1.24224i	0.866321	−	0.499488i	$-0.166479\pi$
$524$			5.76257e10i			0.764347i
$525$	−3.37798e10	+	1.00760e11i	−0.444652	+	1.32633i
$526$	−6.42856e10			−0.839790
$527$	−1.28477e11	−	2.03487e10i	−1.66564	−	0.263812i
$528$	2.60642e9	+	5.11539e9i	0.0335358	+	0.0658178i
$529$	5.57482e10	+	1.81137e10i	0.711883	+	0.231305i
$530$	−6.23239e10	−	1.94897e11i	−0.789862	−	2.47003i
$531$	−2.75492e9	−	8.47878e9i	−0.0346523	−	0.106649i
$532$	1.40402e11	+	1.40402e11i	1.75278	+	1.75278i
$533$	4.76673e10	+	2.42877e10i	0.590624	+	0.300938i
$534$	8.36483e9	−	1.15132e10i	0.102871	−	0.141589i
$535$	7.93584e10	+	8.01010e10i	0.968675	+	0.977739i
$536$	−2.39906e10	+	1.74302e10i	−0.290658	+	0.211175i
$537$	1.82031e10	+	1.14930e11i	0.218901	+	1.38209i
$538$	3.94313e10	−	6.24530e9i	0.470665	−	0.0745460i
$539$	1.19173e10	+	1.64027e10i	0.141196	+	0.194339i
$540$	−1.10345e11	−	5.68726e10i	−1.29771	−	0.668848i
$541$	−7.20980e10	−	5.23823e10i	−0.841655	−	0.611498i	0.0811772	−	0.996700i	$-0.474132\pi$
$541$	−7.20980e10	−	5.23823e10i	−0.841655	−	0.611498i	−0.922833	+	0.385201i	$0.874132\pi$
$542$	−4.51040e10	+	8.85217e10i	−0.522659	+	1.02578i
$543$	6.38934e10	−	6.38934e10i	0.734948	−	0.734948i
$544$	−6.79641e10	+	2.20829e10i	−0.776039	+	0.252150i
$545$	−6.79697e10	+	9.26419e10i	−0.770423	+	1.05008i
$546$	3.51492e10	−	1.08178e11i	0.395499	−	1.21722i
$547$	5.46289e10	−	2.78348e10i	0.610201	−	0.310913i	−0.121444	−	0.992598i	$-0.538753\pi$
$547$	5.46289e10	−	2.78348e10i	0.610201	−	0.310913i	0.731646	+	0.681685i	$0.238753\pi$
$548$	6.08762e9	−	3.84357e10i	0.0675033	−	0.426199i
$549$		−	3.26899e10i		−	0.359852i
$550$	5.31864e10	−	2.64788e10i	0.581233	−	0.289366i
$551$	−8.27897e10			−0.898194
$552$	−5.75493e10	−	9.11491e9i	−0.619846	−	0.0981739i
$553$	3.76218e10	+	7.38369e10i	0.402290	+	0.789538i
$554$	2.13168e11	+	6.92625e10i	2.26299	+	0.735291i
$555$	1.09881e11	−	7.90543e10i	1.15812	−	0.833209i
$556$	−1.85667e10	−	5.71426e10i	−0.194284	−	0.597944i
$557$	−3.81425e10	−	3.81425e10i	−0.396267	−	0.396267i	0.480647	−	0.876914i	$-0.340402\pi$
$557$	−3.81425e10	−	3.81425e10i	−0.396267	−	0.396267i	−0.876914	+	0.480647i	$0.840402\pi$
$558$	5.46297e10	+	2.78352e10i	0.563498	+	0.287116i
$559$	−5.35563e10	+	7.37139e10i	−0.548483	+	0.754922i
$560$	−3.20145e9	−	2.08409e10i	−0.0325533	−	0.211916i
$561$	3.33391e10	−	2.42223e10i	0.336591	−	0.244548i
$562$	4.04890e9	+	2.55637e10i	0.0405874	+	0.256259i
$563$	1.00288e11	−	1.58841e10i	0.998197	−	0.158099i	0.364106	−	0.931358i	$-0.381375\pi$
$563$	1.00288e11	−	1.58841e10i	0.998197	−	0.158099i	0.634091	+	0.773259i	$0.281375\pi$
$564$	−1.91187e11	−	2.63146e11i	−1.88947	−	2.60064i
$565$	7.31186e10	−	1.12320e10i	0.717520	−	0.110221i
$566$	−1.07784e11	−	7.83099e10i	−1.05024	−	0.763047i
$567$	−6.96133e10	+	1.36624e11i	−0.673535	+	1.32189i
$568$	7.66330e9	−	7.66330e9i	0.0736246	−	0.0736246i
$569$	6.19873e10	−	2.01409e10i	0.591362	−	0.192145i	0.00197799	−	0.999998i	$-0.499370\pi$
$569$	6.19873e10	−	2.01409e10i	0.591362	−	0.192145i	0.589384	+	0.807853i	$0.299370\pi$
$570$	−1.29036e11	−	1.79353e11i	−1.22239	−	1.69906i
$571$	−1.54300e10	+	4.74885e10i	−0.145151	+	0.446729i	−0.997030	−	0.0770090i	$-0.975463\pi$
$571$	−1.54300e10	+	4.74885e10i	−0.145151	+	0.446729i	0.851879	+	0.523738i	$0.175463\pi$
$572$	−3.56069e10	+	1.81426e10i	−0.332621	+	0.169479i
$573$	−1.60055e10	+	1.01055e11i	−0.148474	+	0.937429i
$574$		−	2.68321e11i		−	2.47177i
$575$	−9.07938e9	+	5.40611e10i	−0.0830586	+	0.494554i
$576$	3.77376e10			0.342834
$577$	5.03936e10	+	7.98156e9i	0.454644	+	0.0720086i	0.379557	−	0.925168i	$-0.376076\pi$
$577$	5.03936e10	+	7.98156e9i	0.454644	+	0.0720086i	0.0750874	+	0.997177i	$0.476076\pi$
$578$	7.69349e9	+	1.50993e10i	0.0689306	+	0.135284i
$579$	−6.86040e9	−	2.22908e9i	−0.0610429	−	0.0198340i
$580$	1.19880e11	+	8.79541e10i	1.05934	+	0.777220i
$581$	−1.43268e10	−	4.40934e10i	−0.125732	−	0.386963i
$582$	−1.06102e11	−	1.06102e11i	−0.924769	−	0.924769i
$583$	6.43980e10	+	3.28124e10i	0.557440	+	0.284030i
$584$	8.38748e9	−	1.15444e10i	0.0721074	−	0.0992473i
$585$	−6.51629e9	+	1.26430e10i	−0.0556387	+	0.107951i
$586$	−2.47717e11	+	1.79977e11i	−2.10071	+	1.52625i
$587$	−1.96132e10	−	1.23833e11i	−0.165195	−	1.04300i	−0.921386	−	0.388649i	$-0.872942\pi$
$587$	−1.96132e10	−	1.23833e11i	−0.165195	−	1.04300i	0.756191	−	0.654351i	$-0.227058\pi$
$588$	−1.33744e11	+	2.11829e10i	−1.11883	+	0.177205i
$589$	−1.44797e11	−	1.99296e11i	−1.20309	−	1.65591i
$590$	7.27199e10	−	7.20457e10i	0.600130	−	0.594566i
$591$	−3.46523e10	−	2.51764e10i	−0.284042	−	0.206369i
$592$	−1.21931e10	+	2.39302e10i	−0.0992719	+	0.194832i
$593$	−3.49717e10	+	3.49717e10i	−0.282812	+	0.282812i	−0.834229	−	0.551417i	$-0.814087\pi$
$593$	−3.49717e10	+	3.49717e10i	−0.282812	+	0.282812i	0.551417	+	0.834229i	$0.314087\pi$
$594$	6.63597e10	−	2.15616e10i	0.533038	−	0.173195i
$595$	−1.44158e11	+	4.60985e10i	−1.15019	+	0.367806i
$596$	7.57038e10	−	2.32992e11i	0.599974	−	1.84653i
$597$	−7.81085e10	+	3.97983e10i	−0.614895	+	0.313305i
$598$	9.17851e9	−	5.79508e10i	0.0717740	−	0.453163i
$599$		−	1.15439e11i		−	0.896695i	−0.893859	−	0.448347i	$-0.852013\pi$
$599$		−	1.15439e11i		−	0.896695i	0.893859	−	0.448347i	$-0.147987\pi$
$600$	−1.51060e9	+	1.62180e11i	−0.0116558	+	1.25139i
$601$	−1.59675e11			−1.22388			−0.611941	−	0.790903i	$-0.709611\pi$
$601$	−1.59675e11			−1.22388			−0.611941	+	0.790903i	$0.709611\pi$
$602$	4.51365e11	+	7.14892e10i	3.43670	+	0.544320i
$603$	−4.14088e9	−	8.12693e9i	−0.0313201	−	0.0614691i
$604$	−2.78838e10	−	9.05999e9i	−0.209510	−	0.0680738i
$605$	3.54154e10	−	1.07295e11i	0.264345	−	0.800860i
$606$	1.61838e10	+	4.98088e10i	0.120003	+	0.369331i
$607$	−4.05067e10	−	4.05067e10i	−0.298381	−	0.298381i	0.541998	−	0.840380i	$-0.317668\pi$
$607$	−4.05067e10	−	4.05067e10i	−0.298381	−	0.298381i	−0.840380	+	0.541998i	$0.817668\pi$
$608$	−1.20584e11	−	6.14407e10i	−0.882422	−	0.449616i
$609$	8.78639e10	−	1.20934e11i	0.638766	−	0.879185i
$610$	3.35233e11	−	1.68848e11i	2.42118	−	1.21948i
$611$	1.08306e11	−	7.86888e10i	0.777118	−	0.564610i
$612$	7.69917e9	+	4.86107e10i	0.0548831	+	0.346518i
$613$	4.60946e10	−	7.30067e9i	0.326444	−	0.0517036i	0.00893822	−	0.999960i	$-0.497155\pi$
$613$	4.60946e10	−	7.30067e9i	0.326444	−	0.0517036i	0.317505	+	0.948256i	$0.397155\pi$
$614$	2.52798e11	+	3.47947e11i	1.77869	+	2.44816i
$615$	−3.02150e10	+	1.85184e11i	−0.211214	+	1.29451i
$616$	6.62770e10	+	4.81531e10i	0.460299	+	0.334427i
$617$	−2.46661e10	+	4.84100e10i	−0.170200	+	0.334037i	−0.960313	−	0.278925i	$-0.910022\pi$
$617$	−2.46661e10	+	4.84100e10i	−0.170200	+	0.334037i	0.790113	+	0.612962i	$0.210022\pi$
$618$	−5.05257e10	+	5.05257e10i	−0.346384	+	0.346384i
$619$	−2.50656e9	+	8.14430e8i	−0.0170732	+	0.00554742i	−0.317541	−	0.948244i	$-0.602857\pi$
$619$	−2.50656e9	+	8.14430e8i	−0.0170732	+	0.00554742i	0.300468	+	0.953792i	$0.402857\pi$
$620$	−2.06035e9	+	4.42412e11i	−0.0139436	+	2.99406i
$621$	−1.98940e10	+	6.12275e10i	−0.133769	+	0.411699i
$622$	−3.42026e11	+	1.74271e11i	−2.28506	+	1.16430i
$623$	2.88801e9	−	1.82342e10i	0.0191711	−	0.121041i
$624$		−	1.57816e10i		−	0.104091i
$625$	1.52561e11	+	2.84227e9i	0.999827	+	0.0186271i
$626$	4.07724e10			0.265503
$627$	7.70820e10	+	1.22086e10i	0.498750	+	0.0789942i
$628$	−5.18720e9	−	1.01805e10i	−0.0333499	−	0.0654529i
$629$	1.83346e11	+	5.95727e10i	1.17130	+	0.380579i
$630$	7.13375e10	+	3.32224e8i	0.452852	+	0.00210896i
$631$	4.71551e10	+	1.45129e11i	0.297448	+	0.915451i	0.982388	+	0.186852i	$0.0598284\pi$
$631$	4.71551e10	+	1.45129e11i	0.297448	+	0.915451i	−0.684940	+	0.728600i	$0.740172\pi$
$632$	8.94281e10	+	8.94281e10i	0.560539	+	0.560539i
$633$	−1.94180e11	−	9.89398e10i	−1.20946	−	0.616249i
$634$	−2.54636e10	+	3.50477e10i	−0.157603	+	0.216921i
$635$	−2.04575e11	−	3.33789e10i	−1.25822	−	0.205294i
$636$	−3.90522e11	+	2.83731e11i	−2.38681	+	1.73412i
$637$	−8.71851e9	−	5.50465e10i	−0.0529522	−	0.334327i
$638$	−8.25421e10	+	1.30734e10i	−0.498188	+	0.0789052i
$639$	1.95935e9	+	2.69681e9i	0.0117519	+	0.0161751i
$640$	1.30274e11	+	2.58648e11i	0.776494	+	1.54166i
$641$	2.82436e10	+	2.05202e10i	0.167297	+	0.121548i	0.668283	−	0.743907i	$-0.267029\pi$
$641$	2.82436e10	+	2.05202e10i	0.167297	+	0.121548i	−0.500986	+	0.865455i	$0.667029\pi$
$642$	1.92164e11	−	3.77143e11i	1.13118	−	2.22007i
$643$	−7.20478e10	+	7.20478e10i	−0.421480	+	0.421480i	−0.885713	−	0.464233i	$-0.846330\pi$
$643$	−7.20478e10	+	7.20478e10i	−0.421480	+	0.421480i	0.464233	+	0.885713i	$0.346330\pi$
$644$	−1.75881e11	+	5.71471e10i	−1.02253	+	0.332239i
$645$	−3.03463e11	−	1.00166e11i	−1.75335	−	0.578738i
$646$	9.72369e10	−	2.99264e11i	0.558343	−	1.71840i
$647$	1.29908e10	−	6.61912e9i	0.0741340	−	0.0377732i	−0.416530	−	0.909122i	$-0.636754\pi$
$647$	1.29908e10	−	6.61912e9i	0.0741340	−	0.0377732i	0.490664	+	0.871349i	$0.336754\pi$
$648$	−3.66078e10	+	2.31133e11i	−0.207622	+	1.31088i
$649$			3.61576e10i			0.203808i
$650$	−1.63311e11	−	1.52114e9i	−0.914876	−	0.00852148i
$651$	4.44792e11			2.47647
$652$	3.21461e11	+	5.09144e10i	1.77885	+	0.281741i
$653$	1.43222e11	+	2.81089e11i	0.787692	+	1.54593i	0.837034	+	0.547151i	$0.184288\pi$
$653$	1.43222e11	+	2.81089e11i	0.787692	+	1.54593i	−0.0493415	+	0.998782i	$0.515712\pi$
$654$	4.10221e11	+	1.33289e11i	2.24237	+	0.728589i
$655$	−2.53367e10	−	7.92320e10i	−0.137653	−	0.430462i
$656$	−1.15041e10	−	3.54061e10i	−0.0621210	−	0.191189i
$657$	3.10356e9	+	3.10356e9i	0.0166571	+	0.0166571i
$658$	−5.98262e11	−	3.04830e11i	−3.19145	−	1.62612i
$659$	−4.40986e10	+	6.06965e10i	−0.233821	+	0.321826i	−0.909763	−	0.415128i	$-0.863737\pi$
$659$	−4.40986e10	+	6.06965e10i	−0.233821	+	0.321826i	0.675942	+	0.736954i	$0.263737\pi$
$660$	−9.86454e10	−	9.95685e10i	−0.519877	−	0.524742i
$661$	1.51293e11	−	1.09921e11i	0.792525	−	0.575803i	−0.116187	−	0.993227i	$-0.537067\pi$
$661$	1.51293e11	−	1.09921e11i	0.792525	−	0.575803i	0.908712	+	0.417425i	$0.137067\pi$
$662$	−9.71214e9	−	6.13201e10i	−0.0505689	−	0.319279i
$663$	−1.11884e11	+	1.77207e10i	−0.579048	+	0.0917121i
$664$	−4.15894e10	−	5.72429e10i	−0.213949	−	0.294475i
$665$	−2.54777e11	−	1.31313e11i	−1.30279	−	0.671464i
$666$	−7.35133e10	−	5.34105e10i	−0.373654	−	0.271475i
$667$	3.50062e10	−	6.87035e10i	0.176865	−	0.347117i
$668$	1.95521e11	−	1.95521e11i	0.981946	−	0.981946i
$669$	−2.62212e11	+	8.51977e10i	−1.30902	+	0.425327i
$670$	6.19530e10	−	8.44412e10i	0.307442	−	0.419040i
$671$	−4.09702e10	+	1.26093e11i	−0.202105	+	0.622016i
$672$	2.17724e11	−	1.10936e11i	1.06765	−	0.543995i
$673$	1.79360e10	−	1.13244e11i	0.0874310	−	0.552018i	−0.904624	−	0.426211i	$-0.859848\pi$
$673$	1.79360e10	−	1.13244e11i	0.0874310	−	0.552018i	0.992055	−	0.125807i	$-0.0401519\pi$
$674$		−	2.59704e11i		−	1.25846i
$675$	1.76724e11	+	2.96802e10i	0.851295	+	0.142972i
$676$	−2.43332e11			−1.16523
$677$	2.79759e11	+	4.43095e10i	1.33177	+	0.210932i	0.781423	−	0.624002i	$-0.214494\pi$
$677$	2.79759e11	+	4.43095e10i	1.33177	+	0.210932i	0.550350	+	0.834934i	$0.314494\pi$
$678$	−1.26074e11	−	2.47433e11i	−0.596630	−	1.17095i
$679$	−1.85129e11	−	6.01520e10i	−0.870953	−	0.282990i
$680$	−1.87497e11	+	1.34895e11i	−0.876919	+	0.630901i
$681$	−5.02615e10	−	1.54689e11i	−0.233694	−	0.719235i
$682$	−1.75835e11	−	1.75835e11i	−0.812771	−	0.812771i
$683$	2.70952e11	+	1.38057e11i	1.24512	+	0.634418i	0.947344	−	0.320219i	$-0.103756\pi$
$683$	2.70952e11	+	1.38057e11i	1.24512	+	0.634418i	0.297772	+	0.954637i	$0.403756\pi$
$684$	−5.47856e10	+	7.54060e10i	−0.250289	+	0.344494i
$685$	8.52918e9	+	5.55235e10i	0.0387387	+	0.252182i
$686$	1.46449e11	−	1.06401e11i	0.661287	−	0.480453i
$687$	3.72318e10	+	2.35072e11i	0.167143	+	1.05530i
$688$	6.26245e10	−	9.91874e9i	0.279505	−	0.0442693i
$689$	−1.16778e11	−	1.60732e11i	−0.518186	−	0.713221i
$690$	2.03397e11	−	3.12447e10i	0.897324	−	0.137842i
$691$	−1.11658e11	−	8.11244e10i	−0.489754	−	0.355827i	0.315336	−	0.948980i	$-0.397883\pi$
$691$	−1.11658e11	−	8.11244e10i	−0.489754	−	0.355827i	−0.805090	+	0.593153i	$0.797883\pi$
$692$	2.99689e11	−	5.88173e11i	1.30691	−	2.56496i
$693$	−1.78177e10	+	1.78177e10i	−0.0772538	+	0.0772538i
$694$	−4.41901e11	+	1.43582e11i	−1.90496	+	0.618960i
$695$	5.06525e10	+	7.04043e10i	0.217101	+	0.301759i
$696$	7.04970e10	−	2.16967e11i	0.300423	−	0.924608i
$697$	−2.38095e11	+	1.21316e11i	−1.00883	+	0.514027i
$698$	−8.66193e10	+	5.46893e11i	−0.364916	+	2.30399i
$699$		−	1.32006e10i		−	0.0552948i
$700$	2.29415e11	+	4.60813e11i	0.955498	+	1.91926i
$701$	2.57553e11			1.06658			0.533291	−	0.845932i	$-0.320955\pi$
$701$	2.57553e11			1.06658			0.533291	+	0.845932i	$0.320955\pi$
$702$	−1.89439e11	−	3.00042e10i	−0.780048	−	0.123548i
$703$	1.65748e11	+	3.25299e11i	0.678620	+	1.33187i
$704$	−1.45564e11	−	4.72965e10i	−0.592601	−	0.192548i
$705$	3.78570e11	+	2.77750e11i	1.53246	+	1.12434i
$706$	−6.66968e10	−	2.05272e11i	−0.268464	−	0.826247i
$707$	4.80410e10	+	4.80410e10i	0.192280	+	0.192280i
$708$	−2.15168e11	−	1.09633e11i	−0.856335	−	0.436325i
$709$	−9.73109e9	+	1.33937e10i	−0.0385103	+	0.0530048i	−0.827838	−	0.560967i	$-0.810429\pi$
$709$	−9.73109e9	+	1.33937e10i	−0.0385103	+	0.0530048i	0.789328	+	0.613972i	$0.210429\pi$
$710$	−1.75354e10	+	3.40224e10i	−0.0690051	+	0.133885i
$711$	−3.14709e10	+	2.28649e10i	−0.123149	+	0.0894729i
$712$	−4.40752e9	−	2.78280e10i	−0.0171504	−	0.108283i
$713$	2.26612e11	−	3.58918e10i	0.876849	−	0.138879i
$714$	3.33951e11	+	4.59644e11i	1.28496	+	1.76860i
$715$	4.09805e10	−	4.06006e10i	0.156803	−	0.155349i
$716$	4.55993e11	+	3.31298e11i	1.73503	+	1.26057i
$717$	−6.06157e10	+	1.18965e11i	−0.229355	+	0.450135i
$718$	4.00027e11	−	4.00027e11i	1.50519	−	1.50519i
$719$	−1.48090e11	+	4.81172e10i	−0.554127	+	0.180047i	−0.572677	−	0.819781i	$-0.694095\pi$
$719$	−1.48090e11	+	4.81172e10i	−0.554127	+	0.180047i	0.0185501	+	0.999828i	$0.494095\pi$
$720$	9.42752e9	−	3.01472e9i	0.0350806	−	0.0112180i
$721$	−2.86442e10	+	8.81578e10i	−0.105998	+	0.326227i
$722$	1.33766e11	−	6.81571e10i	0.492262	−	0.250820i
$723$	2.47009e10	−	1.55955e11i	0.0903981	−	0.570751i
$724$		−	4.37682e11i		−	1.59296i
$725$	−2.03500e11	−	6.82231e10i	−0.736567	−	0.246933i
$726$	−4.24149e11			−1.52677
$727$	−2.74470e11	−	4.34718e10i	−0.982557	−	0.155622i	−0.355569	−	0.934650i	$-0.615713\pi$
$727$	−2.74470e11	−	4.34718e10i	−0.982557	−	0.155622i	−0.626989	+	0.779028i	$0.715713\pi$
$728$	−1.02236e11	−	2.00650e11i	−0.363981	−	0.714353i
$729$	1.87413e11	+	6.08943e10i	0.663576	+	0.215609i
$730$	−1.57965e10	+	4.78571e10i	−0.0556249	+	0.168521i
$731$	−1.40639e11	−	4.32842e11i	−0.492533	−	1.51586i
$732$	−6.26133e11	−	6.26133e11i	−2.18083	−	2.18083i
$733$	−4.57205e11	−	2.32958e11i	−1.58378	−	0.806977i	−0.583794	−	0.811902i	$-0.698432\pi$
$733$	−4.57205e11	−	2.32958e11i	−1.58378	−	0.806977i	−0.999988	+	0.00492460i	$0.998432\pi$
$734$	−4.20138e11	+	5.78271e11i	−1.44746	+	1.99226i
$735$	1.74576e11	−	8.79295e10i	0.598186	−	0.301290i
$736$	1.01974e11	−	7.40884e10i	0.347518	−	0.252487i
$737$	5.78696e9	+	3.65374e10i	0.0196146	+	0.123842i
$738$	1.24404e11	−	1.97036e10i	0.419380	−	0.0664233i
$739$	−2.04664e11	−	2.81696e11i	−0.686221	−	0.944502i	0.313767	−	0.949500i	$-0.398409\pi$
$739$	−2.04664e11	−	2.81696e11i	−0.686221	−	0.944502i	−0.999988	+	0.00499812i	$0.998409\pi$
$740$	1.05586e11	−	6.47123e11i	0.352110	−	2.15804i
$741$	−1.73557e11	−	1.26097e11i	−0.575665	−	0.418245i
$742$	−4.52383e11	+	8.87852e11i	−1.49242	+	2.92904i
$743$	−3.73459e11	+	3.73459e11i	−1.22543	+	1.22543i	−0.259754	+	0.965675i	$0.583641\pi$
$743$	−3.73459e11	+	3.73459e11i	−1.22543	+	1.22543i	−0.965675	+	0.259754i	$0.916359\pi$
$744$	6.45594e11	−	2.09766e11i	2.10701	−	0.684611i
$745$	−1.64691e9	+	3.53636e11i	−0.00534619	+	1.14797i
$746$	−2.02652e11	+	6.23700e11i	−0.654330	+	2.01382i
$747$	1.93913e10	−	9.88036e9i	0.0622765	−	0.0317315i
$748$	3.12260e10	−	1.97153e11i	0.0997494	−	0.629793i
$749$		−	5.49102e11i		−	1.74472i
$750$	−1.69378e11	−	5.47188e11i	−0.535317	−	1.72938i
$751$	3.50482e11			1.10181			0.550904	−	0.834569i	$-0.314283\pi$
$751$	3.50482e11			1.10181			0.550904	+	0.834569i	$0.314283\pi$
$752$	−9.20125e10	−	1.45733e10i	−0.287723	−	0.0455709i
$753$	1.10083e11	+	2.16051e11i	0.342406	+	0.672010i
$754$	2.18481e11	+	7.09889e10i	0.675972	+	0.219637i
$755$	4.23221e10	+	1.97097e8i	0.130250	+	0.000606586i
$756$	1.86812e11	+	5.74948e11i	0.571896	+	1.76012i
$757$	3.68040e11	+	3.68040e11i	1.12076	+	1.12076i	0.991628	+	0.129130i	$0.0412183\pi$
$757$	3.68040e11	+	3.68040e11i	1.12076	+	1.12076i	0.129130	+	0.991628i	$0.458782\pi$
$758$	9.51254e11	+	4.84688e11i	2.88151	+	1.46820i
$759$	−4.27242e10	+	5.88048e10i	−0.128738	+	0.177193i
$760$	−4.31725e11	−	7.04410e10i	−1.29405	−	0.211140i
$761$	2.04578e11	−	1.48635e11i	0.609986	−	0.443181i	−0.239423	−	0.970915i	$-0.576958\pi$
$761$	2.04578e11	−	1.48635e11i	0.609986	−	0.443181i	0.849410	+	0.527734i	$0.176958\pi$
$762$	1.21724e11	+	7.68534e11i	0.361040	+	2.27952i
$763$	5.52661e11	−	8.75329e10i	1.63065	−	0.258270i
$764$	2.91302e11	+	4.00943e11i	0.855008	+	1.17682i
$765$	−3.19589e10	−	6.34517e10i	−0.0933139	−	0.185267i
$766$	1.42208e11	+	1.03320e11i	0.413056	+	0.300103i
$767$	4.51231e10	−	8.85590e10i	0.130382	−	0.255889i
$768$	3.41350e11	−	3.41350e11i	0.981194	−	0.981194i
$769$	3.24753e11	−	1.05519e11i	0.928642	−	0.301734i	0.194635	−	0.980876i	$-0.437648\pi$
$769$	3.24753e11	−	1.05519e11i	0.928642	−	0.301734i	0.734007	+	0.679142i	$0.237648\pi$
$770$	−2.74751e11	−	9.06888e10i	−0.781585	−	0.257983i
$771$	−8.32540e10	+	2.56229e11i	−0.235607	+	0.725122i
$772$	−3.11323e10	+	1.58627e10i	−0.0876480	+	0.0446589i
$773$	5.64333e10	−	3.56306e11i	0.158058	−	0.997941i	−0.773354	−	0.633975i	$-0.781422\pi$
$773$	5.64333e10	−	3.56306e11i	0.158058	−	0.997941i	0.931412	−	0.363966i	$-0.118578\pi$
$774$			2.14519e11i			0.597726i
$775$	−1.91686e11	−	6.09197e11i	−0.531353	−	1.68869i
$776$	−2.97073e11			−0.819251
$777$	−6.51084e11	−	1.03122e11i	−1.78629	−	0.282921i
$778$	−2.19402e11	−	4.30601e11i	−0.598856	−	1.17532i
$779$	−4.81297e11	−	1.56383e11i	−1.30696	−	0.424658i
$780$	1.17350e11	+	3.66973e11i	0.317034	+	0.991415i
$781$	−4.17781e9	−	1.28580e10i	−0.0112291	−	0.0345595i
$782$	2.07231e11	+	2.07231e11i	0.554151	+	0.554151i
$783$	−2.24589e11	−	1.14434e11i	−0.597506	−	0.304445i
$784$	−2.27961e10	+	3.13761e10i	−0.0603388	+	0.0830492i
$785$	1.16082e10	+	1.17168e10i	0.0305694	+	0.0308555i
$786$	−2.52630e11	+	1.83546e11i	−0.661903	+	0.480901i
$787$	8.11843e10	+	5.12578e11i	0.211628	+	1.33617i	0.833270	+	0.552866i	$0.186466\pi$
$787$	8.11843e10	+	5.12578e11i	0.211628	+	1.33617i	−0.621642	+	0.783301i	$0.713534\pi$
$788$	−2.04919e11	+	3.24560e10i	−0.531468	+	0.0841763i
$789$	−1.28677e11	−	1.77108e11i	−0.332041	−	0.457015i
$790$	−3.97030e11	−	2.04631e11i	−1.01933	−	0.525368i
$791$	−2.91449e11	−	2.11750e11i	−0.744486	−	0.540901i
$792$	−1.74586e10	+	3.42645e10i	−0.0443721	+	0.0870851i
$793$	2.57705e11	−	2.57705e11i	0.651673	−	0.651673i
$794$	1.20406e12	−	3.91224e11i	3.02947	−	0.984336i
$795$	4.12195e11	−	5.61817e11i	1.03189	−	1.40646i
$796$	−1.31216e11	+	4.03842e11i	−0.326840	+	1.00591i
$797$	1.40880e10	−	7.17818e9i	0.0349153	−	0.0177902i	−0.436446	−	0.899731i	$-0.643763\pi$
$797$	1.40880e10	−	7.17818e9i	0.0349153	−	0.0177902i	0.471361	+	0.881940i	$0.343763\pi$
$798$	−1.68319e11	+	1.06272e12i	−0.415070	+	2.62065i
$799$			6.68691e11i			1.64073i
$800$	−2.45770e11	−	2.50391e11i	−0.600024	−	0.611307i
$801$	8.66611e9			0.0210520
$802$	−8.24906e11	−	1.30652e11i	−1.99392	−	0.315805i
$803$	−8.08154e9	−	1.58609e10i	−0.0194371	−	0.0381475i
$804$	−2.34974e11	−	7.63478e10i	−0.562337	−	0.182714i
$805$	2.16699e11	−	1.55905e11i	0.516029	−	0.371258i
$806$	2.11230e11	+	6.50098e11i	0.500512	+	1.54042i
$807$	9.61332e10	+	9.61332e10i	0.226662	+	0.226662i
$808$	9.23856e10	+	4.70728e10i	0.216750	+	0.110440i
$809$	−2.17435e11	+	2.99274e11i	−0.507617	+	0.698675i	−0.983515	−	0.180825i	$-0.942123\pi$
$809$	−2.17435e11	+	2.99274e11i	−0.507617	+	0.698675i	0.475898	+	0.879500i	$0.342123\pi$
$810$	−1.25487e11	−	8.16896e11i	−0.291513	−	1.89770i
$811$	3.74304e11	−	2.71948e11i	0.865248	−	0.628640i	−0.0640593	−	0.997946i	$-0.520405\pi$
$811$	3.74304e11	−	2.71948e11i	0.865248	−	0.628640i	0.929308	+	0.369306i	$0.120405\pi$
$812$	−1.13269e11	−	7.15154e11i	−0.260548	−	1.64504i
$813$	−3.34161e11	+	5.29259e10i	−0.764881	+	0.121145i
$814$	2.16621e11	+	2.98153e11i	0.493403	+	0.679111i
$815$	−4.64376e11	+	7.13348e10i	−1.05254	+	0.161685i
$816$	6.37732e10	+	4.63340e10i	0.143839	+	0.104505i
$817$	3.91297e11	−	7.67963e11i	0.878249	−	1.72366i
$818$	−2.95060e11	+	2.95060e11i	−0.659019	+	0.659019i
$819$	6.58758e10	−	2.14043e10i	0.146417	−	0.0475736i
$820$	5.30785e11	+	7.37764e11i	1.17399	+	1.63178i
$821$	−1.15749e9	+	3.56239e9i	−0.00254768	+	0.00784096i	−0.952322	−	0.305094i	$-0.901312\pi$
$821$	−1.15749e9	+	3.56239e9i	−0.00254768	+	0.00784096i	0.949775	+	0.312935i	$0.101312\pi$
$822$	1.87891e11	−	9.57355e10i	0.411547	−	0.209694i
$823$	−7.78810e10	+	4.91722e11i	−0.169759	+	1.07182i	0.744778	+	0.667312i	$0.232555\pi$
$823$	−7.78810e10	+	4.91722e11i	−0.169759	+	1.07182i	−0.914537	+	0.404503i	$0.867445\pi$
$824$			1.41466e11i			0.306861i
$825$	1.79410e11	+	9.35288e10i	0.387284	+	0.201897i
$826$	−4.98503e11			−1.07090
$827$	−1.86639e11	−	2.95607e10i	−0.399007	−	0.0631965i	−0.0462935	−	0.998928i	$-0.514741\pi$
$827$	−1.86639e11	−	2.95607e10i	−0.399007	−	0.0631965i	−0.352713	+	0.935731i	$0.614741\pi$
$828$	−3.94109e10	−	7.73483e10i	−0.0838485	−	0.164562i
$829$	1.66432e11	+	5.40770e10i	0.352386	+	0.114497i	0.479861	−	0.877345i	$-0.340687\pi$
$829$	1.66432e11	+	5.40770e10i	0.352386	+	0.114497i	−0.127475	+	0.991842i	$0.540687\pi$
$830$	2.01481e11	+	1.47823e11i	0.424544	+	0.311480i
$831$	2.35866e11	+	7.25921e11i	0.494608	+	1.52225i
$832$	2.97498e11	+	2.97498e11i	0.620855	+	0.620855i
$833$	2.48040e11	+	1.26383e11i	0.515159	+	0.262487i
$834$	1.91374e11	−	2.63404e11i	0.395566	−	0.544450i
$835$	−1.82864e11	+	3.54796e11i	−0.376168	+	0.729849i
$836$	3.05829e11	−	2.22198e11i	0.626114	−	0.454898i
$837$	−1.17329e11	−	7.40787e11i	−0.239058	−	1.50936i
$838$	9.35457e11	−	1.48162e11i	1.89691	−	0.300442i
$839$	2.91205e11	+	4.00810e11i	0.587694	+	0.808892i	0.994513	−	0.104617i	$-0.0333618\pi$
$839$	2.91205e11	+	4.00810e11i	0.587694	+	0.808892i	−0.406818	+	0.913509i	$0.633362\pi$
$840$	5.61081e11	−	5.55880e11i	1.12696	−	1.11651i
$841$	−1.60464e11	−	1.16584e11i	−0.320769	−	0.233053i
$842$	7.92134e10	−	1.55465e11i	0.157598	−	0.309303i
$843$	−6.23242e10	+	6.23242e10i	−0.123409	+	0.123409i
$844$	−1.00396e12	+	3.26208e11i	−1.97856	+	0.642872i
$845$	3.34568e11	−	1.06988e11i	0.656232	−	0.209849i
$846$	9.73982e10	−	2.99761e11i	0.190138	−	0.585186i
$847$	−4.90261e11	+	2.49801e11i	−0.952563	+	0.485355i
$848$	−2.16276e10	+	1.36551e11i	−0.0418239	+	0.264066i
$849$		−	4.53696e11i		−	0.873242i
$850$	4.85621e11	−	6.55474e11i	0.930298	−	1.25568i
$851$	−3.40035e11			−0.648343
$852$	8.91830e10	+	1.41252e10i	0.169248	+	0.0268063i
$853$	−3.68913e11	−	7.24032e11i	−0.696831	−	1.36761i	−0.919646	−	0.392747i	$-0.871525\pi$
$853$	−3.68913e11	−	7.24032e11i	−0.696831	−	1.36761i	0.222815	−	0.974861i	$-0.428475\pi$
$854$	−1.73844e12	−	5.64854e11i	−3.26835	−	1.06195i
$855$	4.21728e10	−	1.27767e11i	0.0789165	−	0.239086i
$856$	−2.58959e11	−	7.96994e11i	−0.482321	−	1.48443i
$857$	9.90290e9	+	9.90290e9i	0.0183586	+	0.0183586i	0.716226	−	0.697868i	$-0.245868\pi$
$857$	9.90290e9	+	9.90290e9i	0.0183586	+	0.0183586i	−0.697868	+	0.716226i	$0.745868\pi$
$858$	−1.92950e11	−	9.83131e10i	−0.356038	−	0.181410i
$859$	1.80279e11	−	2.48132e11i	0.331110	−	0.455733i	−0.610709	−	0.791855i	$-0.709115\pi$
$859$	1.80279e11	−	2.48132e11i	0.331110	−	0.455733i	0.941818	+	0.336122i	$0.109115\pi$
$860$	−1.38247e12	+	6.96313e11i	−2.52733	+	1.27295i
$861$	7.39231e11	−	5.37082e11i	1.34514	−	0.977301i
$862$	3.72636e10	+	2.35273e11i	0.0674925	+	0.426131i
$863$	2.14453e11	−	3.39660e10i	0.386624	−	0.0612353i	0.0399031	−	0.999204i	$-0.487295\pi$
$863$	2.14453e11	−	3.39660e10i	0.386624	−	0.0612353i	0.346721	+	0.937968i	$0.387295\pi$
$864$	−2.42192e11	−	3.33349e11i	−0.434616	−	0.598197i
$865$	−1.53449e11	+	9.40471e11i	−0.274094	+	1.67989i
$866$	−2.25737e11	−	1.64007e11i	−0.401357	−	0.291603i
$867$	−2.61993e10	+	5.14191e10i	−0.0463675	+	0.0910014i
$868$	1.52345e12	−	1.52345e12i	2.68380	−	2.68380i
$869$	1.50048e11	−	4.87535e10i	0.263118	−	0.0854923i
$870$	−3.75221e9	+	8.05700e11i	−0.00654953	+	1.40636i
$871$	3.14234e10	−	9.67111e10i	0.0545984	−	0.168037i
$872$	7.60880e11	−	3.87688e11i	1.31598	−	0.670527i
$873$	1.42942e10	−	9.02498e10i	0.0246094	−	0.155378i
$874$			5.55018e11i			0.951177i
$875$	−5.18042e11	−	5.32723e11i	−0.883756	−	0.908802i
$876$	1.18890e11			0.201896
$877$	7.05319e11	+	1.11712e11i	1.19231	+	0.188843i	0.720878	−	0.693062i	$-0.243739\pi$
$877$	7.05319e11	+	1.11712e11i	1.19231	+	0.188843i	0.471427	+	0.881905i	$0.343739\pi$
$878$	−2.20013e11	−	4.31799e11i	−0.370228	−	0.726614i
$879$	−9.91680e11	−	3.22216e11i	−1.66118	−	0.539749i
$880$	−4.01427e10	−	1.86948e8i	−0.0669386	−	0.000311738i
$881$	−1.65553e11	−	5.09518e11i	−0.274810	−	0.845778i	−0.989270	−	0.146101i	$-0.953328\pi$
$881$	−1.65553e11	−	5.09518e11i	−0.274810	−	0.845778i	0.714460	−	0.699676i	$-0.246672\pi$
$882$	−9.27831e10	−	9.27831e10i	−0.153319	−	0.153319i
$883$	−3.29617e11	−	1.67948e11i	−0.542209	−	0.276269i	0.161361	−	0.986895i	$-0.448412\pi$
$883$	−3.29617e11	−	1.67948e11i	−0.542209	−	0.276269i	−0.703570	+	0.710626i	$0.748412\pi$
$884$	−3.22519e11	+	4.43909e11i	−0.528136	+	0.726917i
$885$	3.44046e11	+	5.61352e10i	0.560846	+	0.0915087i
$886$	1.79987e11	−	1.30768e11i	0.292083	−	0.212211i
$887$	−9.71453e10	−	6.13351e11i	−0.156938	−	0.990866i	−0.932913	−	0.360102i	$-0.882742\pi$
$887$	−9.71453e10	−	6.13351e11i	−0.156938	−	0.990866i	0.775975	−	0.630764i	$-0.217258\pi$
$888$	−9.93650e11	+	1.57379e11i	−1.59802	+	0.253101i
$889$	5.93321e11	+	8.16636e11i	0.949910	+	1.30744i
$890$	4.47617e10	+	8.88705e10i	0.0713422	+	0.141644i
$891$	2.36175e11	+	1.71591e11i	0.374734	+	0.272260i
$892$	−6.06289e11	+	1.18991e12i	−0.957680	+	1.87955i
$893$	−8.95461e11	+	8.95461e11i	−1.40812	+	1.40812i
$894$	1.26256e12	−	4.10231e11i	1.97653	−	0.642212i
$895$	−7.72628e11	−	2.55026e11i	−1.20414	−	0.397459i
$896$	4.35812e11	−	1.34129e12i	0.676187	−	2.08109i
$897$	1.78028e11	−	9.07097e10i	0.274991	−	0.140115i
$898$	−1.19571e11	+	7.54944e11i	−0.183875	+	1.16094i
$899$			8.98320e11i			1.37528i
$900$	−1.96804e11	+	1.40204e11i	−0.299960	+	0.213693i
$901$	9.92372e11			1.50583
$902$	−5.04552e11	−	7.99132e10i	−0.762219	−	0.120724i
$903$	7.06516e11	+	1.38661e12i	1.06260	+	2.08547i
$904$	−5.22887e11	−	1.69896e11i	−0.782949	−	0.254396i
$905$	1.92439e11	+	6.01788e11i	0.286879	+	0.897117i
$906$	−4.90952e10	−	1.51099e11i	−0.0728662	−	0.224259i
$907$	2.66886e11	+	2.66886e11i	0.394363	+	0.394363i	0.876239	−	0.481876i	$-0.160044\pi$
$907$	2.66886e11	+	2.66886e11i	0.394363	+	0.394363i	−0.481876	+	0.876239i	$0.660044\pi$
$908$	−7.01975e11	−	3.57674e11i	−1.03271	−	0.526192i
$909$	−1.87458e10	+	2.58014e10i	−0.0274567	+	0.0377909i
$910$	5.59758e11	+	5.64996e11i	0.816272	+	0.823910i
$911$	−3.51368e11	+	2.55284e11i	−0.510140	+	0.370638i	−0.812877	−	0.582436i	$-0.802100\pi$
$911$	−3.51368e11	+	2.55284e11i	−0.510140	+	0.370638i	0.302737	+	0.953074i	$0.402100\pi$
$912$	2.33534e10	+	1.47447e11i	0.0337575	+	0.213137i
$913$	−8.71803e10	+	1.38080e10i	−0.125469	+	0.0198723i
$914$	−2.99388e11	−	4.12072e11i	−0.428992	−	0.590457i
$915$	1.13619e12	+	5.85601e11i	1.62094	+	0.835444i
$916$	9.32668e11	+	6.77623e11i	1.32478	+	0.962513i
$917$	−1.83908e11	+	3.60941e11i	−0.260090	+	0.510456i
$918$	6.77432e11	−	6.77432e11i	0.953883	−	0.953883i
$919$	−4.27208e11	+	1.38808e11i	−0.598931	+	0.194605i	−0.592764	−	0.805376i	$-0.701963\pi$
$919$	−4.27208e11	+	1.38808e11i	−0.598931	+	0.194605i	−0.00616752	+	0.999981i	$0.501963\pi$
$920$	2.41003e11	−	3.28484e11i	0.336412	−	0.458526i
$921$	−4.52590e11	+	1.39293e12i	−0.629023	+	1.93594i
$922$	1.15788e12	−	5.89970e11i	1.60229	−	0.816406i
$923$	−5.81367e9	+	3.67061e10i	−0.00801020	+	0.0505744i
$924$			6.82553e11i			0.936372i
$925$	1.39351e11	+	9.36181e11i	0.190346	+	1.27877i
$926$	1.56547e11			0.212913
$927$	−4.29767e10	−	6.80684e9i	−0.0581988	−	0.00921778i
$928$	2.24051e11	+	4.39724e11i	0.302103	+	0.592910i
$929$	8.19682e11	+	2.66331e11i	1.10048	+	0.357568i	0.802288	−	0.596937i	$-0.203616\pi$
$929$	8.19682e11	+	2.66331e11i	1.10048	+	0.357568i	0.298194	+	0.954505i	$0.403616\pi$
$930$	−1.94609e12	+	1.40012e12i	−2.60154	+	1.87168i
$931$	1.62914e11	+	5.01399e11i	0.216851	+	0.667398i
$932$	−4.52133e10	−	4.52133e10i	−0.0599242	−	0.0599242i
$933$	−1.16473e12	−	5.93461e11i	−1.53709	−	0.783187i
$934$	8.21903e11	−	1.13125e12i	1.08002	−	1.48652i
$935$	4.37499e10	+	2.84804e11i	0.0572440	+	0.372648i
$936$	8.55211e10	−	6.21347e10i	0.111422	−	0.0809526i
$937$	3.04183e10	+	1.92054e11i	0.0394618	+	0.249152i	0.999531	−	0.0306092i	$-0.00974472\pi$
$937$	3.04183e10	+	1.92054e11i	0.0394618	+	0.249152i	−0.960070	+	0.279761i	$0.909745\pi$
$938$	−5.03739e11	+	7.97845e10i	−0.650721	+	0.103064i
$939$	8.16117e10	+	1.12329e11i	0.104976	+	0.144487i
$940$	2.24796e12	−	3.45318e11i	2.87923	−	0.442290i
$941$	−9.66206e11	−	7.01990e11i	−1.23229	−	0.895308i	−0.235226	−	0.971941i	$-0.575583\pi$
$941$	−9.66206e11	−	7.01990e11i	−1.23229	−	0.895308i	−0.997059	+	0.0766328i	$0.975583\pi$
$942$	2.81089e10	−	5.51669e10i	0.0356977	−	0.0700607i
$943$	3.33283e11	−	3.33283e11i	0.421470	−	0.421470i
$944$	−6.57795e10	+	2.13730e10i	−0.0828328	+	0.0269140i
$945$	−5.09647e11	−	7.08383e11i	−0.639061	−	0.888261i
$946$	2.68857e11	−	8.27456e11i	0.335704	−	1.03319i
$947$	6.07842e11	−	3.09711e11i	0.755772	−	0.385085i	−0.0332524	−	0.999447i	$-0.510587\pi$
$947$	6.07842e11	−	3.09711e11i	0.755772	−	0.385085i	0.789024	+	0.614362i	$0.210587\pi$
$948$	−1.64836e11	+	1.04073e12i	−0.204089	+	1.28857i
$949$			4.89327e10i			0.0603302i
$950$	1.52807e12	−	2.27454e11i	1.87607	−	0.279254i
$951$	−1.47526e11			−0.180363
$952$	1.11098e12	+	1.75963e11i	1.35257	+	0.214226i
$953$	−6.67900e11	−	1.31083e12i	−0.809729	−	1.58918i	−0.807998	−	0.589185i	$-0.799449\pi$
$953$	−6.67900e11	−	1.31083e12i	−0.809729	−	1.58918i	−0.00173097	−	0.999999i	$-0.500551\pi$
$954$	−4.44861e11	−	1.44544e11i	−0.537070	−	0.174505i
$955$	−5.76809e11	−	4.23194e11i	−0.693455	−	0.508776i
$956$	1.99852e11	+	6.15081e11i	0.239264	+	0.736378i
$957$	−2.01237e11	−	2.01237e11i	−0.239917	−	0.239917i
$958$	−1.87569e12	−	9.55709e11i	−2.22689	−	1.13465i
$959$	1.60795e11	−	2.21315e11i	0.190107	−	0.261660i
$960$	−6.76025e11	+	1.31164e12i	−0.795935	+	1.54429i
$961$	−1.47248e12	+	1.06982e12i	−1.72646	+	1.25435i
$962$	−1.58477e11	−	1.00058e12i	−0.185040	−	1.16830i
$963$	2.54584e11	−	4.03221e10i	0.296023	−	0.0468855i
$964$	−4.49559e11	−	6.18764e11i	−0.520569	−	0.716502i
$965$	3.58307e10	−	3.54985e10i	0.0413186	−	0.0409355i
$966$	−8.10738e11	−	5.89035e11i	−0.931048	−	0.676446i
$967$	3.16000e11	−	6.20184e11i	0.361394	−	0.709276i	−0.636692	−	0.771118i	$-0.719698\pi$
$967$	3.16000e11	−	6.20184e11i	0.361394	−	0.709276i	0.998086	+	0.0618427i	$0.0196977\pi$
$968$	−5.93783e11	+	5.93783e11i	−0.676280	+	0.676280i
$969$	1.01911e12	−	3.31130e11i	1.15592	−	0.375581i
$970$	9.99338e11	−	3.19567e11i	1.12882	−	0.360973i
$971$	−4.04375e11	+	1.24454e12i	−0.454891	+	1.40001i	0.416373	+	0.909194i	$0.363301\pi$
$971$	−4.04375e11	+	1.24454e12i	−0.454891	+	1.40001i	−0.871263	+	0.490816i	$0.836699\pi$
$972$	−5.76087e11	+	2.93531e11i	−0.645391	+	0.328843i
$973$	6.60731e10	−	4.17169e11i	0.0737180	−	0.465437i
$974$		−	2.55990e12i		−	2.84437i
$975$	−3.22699e11	−	4.52970e11i	−0.357092	−	0.501247i
$976$	−2.53612e11			−0.279493
$977$	−4.75411e9	−	7.52977e8i	−0.00521784	−	0.000826425i	0.153825	−	0.988098i	$-0.450841\pi$
$977$	−4.75411e9	−	7.52977e8i	−0.00521784	−	0.000826425i	−0.159043	+	0.987272i	$0.550841\pi$
$978$	8.00694e11	+	1.57145e12i	0.875208	+	1.71769i
$979$	−3.34274e10	−	1.08612e10i	−0.0363892	−	0.0118236i
$980$	2.96774e11	−	8.99108e11i	0.321752	−	0.974782i
$981$	8.11671e10	+	2.49807e11i	0.0876403	+	0.269729i
$982$	−2.23164e11	−	2.23164e11i	−0.239982	−	0.239982i
$983$	9.87584e10	+	5.03199e10i	0.105769	+	0.0538922i	0.506075	−	0.862490i	$-0.331096\pi$
$983$	9.87584e10	+	5.03199e10i	0.105769	+	0.0538922i	−0.400305	+	0.916382i	$0.631096\pi$
$984$	8.19666e11	−	1.12817e12i	0.874293	−	1.20336i
$985$	2.67482e11	−	1.34723e11i	0.284151	−	0.143119i
$986$	−9.28317e11	+	6.74462e11i	−0.982174	+	0.713591i
$987$	−3.57693e11	−	2.25838e12i	−0.376913	−	2.37974i
$988$	−1.02634e12	+	1.62557e11i	−1.07712	+	0.170599i
$989$	4.71846e11	+	6.49440e11i	0.493190	+	0.678818i
$990$	2.18709e10	−	1.34044e11i	0.0227681	−	0.139543i
$991$	−1.00546e12	−	7.30511e11i	−1.04249	−	0.757412i	−0.0717183	−	0.997425i	$-0.522848\pi$
$991$	−1.00546e12	−	7.30511e11i	−1.04249	−	0.757412i	−0.970770	+	0.240013i	$0.922848\pi$
$992$	−6.66670e11	+	1.30841e12i	−0.688437	+	1.35113i
$993$	1.49498e11	−	1.49498e11i	0.153758	−	0.153758i
$994$	1.77272e11	−	5.75992e10i	0.181591	−	0.0590025i
$995$	2.85457e9	−	6.12952e11i	0.00291238	−	0.625366i
$996$	1.82170e11	−	5.60662e11i	0.185114	−	0.569723i
$997$	−1.17495e12	+	5.98665e11i	−1.18915	+	0.605903i	−0.932700	−	0.360654i	$-0.882554\pi$
$997$	−1.17495e12	+	5.98665e11i	−1.18915	+	0.605903i	−0.256452	+	0.966557i	$0.582554\pi$
$998$	−8.25420e10	+	5.21150e11i	−0.0832057	+	0.525340i
$999$			1.11156e12i			1.11602i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	25.9.f.a.2.17	✓	152
25.13	odd	20	inner	25.9.f.a.13.17	yes	152

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
25.9.f.a.2.17	✓	152	1.1	even	1	trivial
25.9.f.a.13.17	yes	152	25.13	odd	20	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:	\( N \)	\(=\)	\( 25 = 5^{2} \)
Weight:	\( k \)	\(=\)	\( 9 \)
Character orbit:	\([\chi]\)	\(=\)	25.f (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(25.9250 + 4.10612i) q^{2} +(40.5801 + 79.6429i) q^{3} +(411.775 + 133.794i) q^{4} +(-624.993 - 2.91064i) q^{5} +(725.016 + 2231.37i) q^{6} +(2152.18 + 2152.18i) q^{7} +(4138.76 + 2108.80i) q^{8} +(-839.788 + 1155.87i) q^{9} +O(q^{10})\)	\(q+(25.9250 + 4.10612i) q^{2} +(40.5801 + 79.6429i) q^{3} +(411.775 + 133.794i) q^{4} +(-624.993 - 2.91064i) q^{5} +(725.016 + 2231.37i) q^{6} +(2152.18 + 2152.18i) q^{7} +(4138.76 + 2108.80i) q^{8} +(-839.788 + 1155.87i) q^{9} +(-16191.0 - 2641.75i) q^{10} +(4687.93 - 3405.98i) q^{11} +(6054.14 + 38224.3i) q^{12} +(-15732.4 + 2491.77i) q^{13} +(46958.1 + 64632.2i) q^{14} +(-25130.5 - 49894.4i) q^{15} +(8967.38 + 6515.18i) q^{16} +(36120.5 - 70890.4i) q^{17} +(-26517.7 + 26517.7i) q^{18} +(143301. - 46561.3i) q^{19} +(-256967. - 84818.8i) q^{20} +(-84070.0 + 258741. i) q^{21} +(135520. - 69050.9i) q^{22} +(-21953.2 + 138607. i) q^{23} +415198. i q^{24} +(390608. + 3638.26i) q^{25} -418095. q^{26} +(453101. + 71764.2i) q^{27} +(598265. + 1.17416e6i) q^{28} +(-522564. - 169791. i) q^{29} +(-446635. - 1.39670e6i) q^{30} +(-505220. - 1.55491e6i) q^{31} +(-635114. - 635114. i) q^{32} +(461499. + 235145. i) q^{33} +(1.22751e6 - 1.68952e6i) q^{34} +(-1.33883e6 - 1.35136e6i) q^{35} +(-500452. + 363600. i) q^{36} +(379045. + 2.39320e6i) q^{37} +(3.90627e6 - 618692. i) q^{38} +(-836875. - 1.15186e6i) q^{39} +(-2.58056e6 - 1.33003e6i) q^{40} +(-2.71720e6 - 1.97416e6i) q^{41} +(-3.24194e6 + 6.36266e6i) q^{42} +(4.04484e6 - 4.04484e6i) q^{43} +(2.38607e6 - 775282. i) q^{44} +(528226. - 719966. i) q^{45} +(-1.13827e6 + 3.50324e6i) q^{46} +(-7.48858e6 + 3.81562e6i) q^{47} +(-154991. + 978575. i) q^{48} +3.49892e6i q^{49} +(1.01116e7 + 1.69820e6i) q^{50} +7.11169e6 q^{51} +(-6.81161e6 - 1.07885e6i) q^{52} +(5.66258e6 + 1.11134e7i) q^{53} +(1.14520e7 + 3.72097e6i) q^{54} +(-2.93984e6 + 2.11507e6i) q^{55} +(4.36882e6 + 1.34458e7i) q^{56} +(9.52345e6 + 9.52345e6i) q^{57} +(-1.28503e7 - 6.54755e6i) q^{58} +(-3.66771e6 + 5.04817e6i) q^{59} +(-3.67254e6 - 2.39076e7i) q^{60} +(-1.85106e7 + 1.34487e7i) q^{61} +(-6.71320e6 - 4.23855e7i) q^{62} +(-4.29501e6 + 680262. i) q^{63} +(-1.55254e7 - 2.13688e7i) q^{64} +(9.83991e6 - 1.51155e6i) q^{65} +(1.09988e7 + 7.99112e6i) q^{66} +(-2.89829e6 + 5.68821e6i) q^{67} +(2.43582e7 - 2.43582e7i) q^{68} +(-1.19299e7 + 3.87627e6i) q^{69} +(-2.91604e7 - 4.05314e7i) q^{70} +(720982. - 2.21896e6i) q^{71} +(-5.91318e6 + 3.01291e6i) q^{72} +(480569. - 3.03420e6i) q^{73} +6.36000e7i q^{74} +(1.55611e7 + 3.12568e7i) q^{75} +6.52375e7 q^{76} +(1.74195e7 + 2.75898e6i) q^{77} +(-1.69663e7 - 3.32983e7i) q^{78} +(2.58944e7 + 8.41361e6i) q^{79} +(-5.58559e6 - 4.09805e6i) q^{80} +(1.55681e7 + 4.79136e7i) q^{81} +(-6.23372e7 - 6.23372e7i) q^{82} +(-1.35724e7 - 6.91547e6i) q^{83} +(-6.92359e7 + 9.52950e7i) q^{84} +(-2.27814e7 + 4.42009e7i) q^{85} +(1.21471e8 - 8.82539e7i) q^{86} +(-7.68302e6 - 4.85087e7i) q^{87} +(2.65847e7 - 4.21061e6i) q^{88} +(-3.56527e6 - 4.90717e6i) q^{89} +(1.66505e7 - 1.64962e7i) q^{90} +(-3.92217e7 - 2.84962e7i) q^{91} +(-2.75845e7 + 5.41377e7i) q^{92} +(1.03335e8 - 1.03335e8i) q^{93} +(-2.09809e8 + 6.81710e7i) q^{94} +(-8.96977e7 + 2.86834e7i) q^{95} +(2.48093e7 - 7.63552e7i) q^{96} +(-5.69844e7 + 2.90350e7i) q^{97} +(-1.43670e7 + 9.07095e7i) q^{98} +8.27894e6i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9}+O(q^{10}) \) 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9	\( 152 q - 8 q^{2} + 62 q^{3} - 10 q^{4} - 230 q^{5} - 6 q^{6} + 2342 q^{7} + 8210 q^{8} - 10 q^{9} - 30880 q^{10} - 6 q^{11} + 45902 q^{12} + 119132 q^{13} - 10 q^{14} - 241450 q^{15} + 524282 q^{16} - 105158 q^{17} + 454052 q^{18} + 718890 q^{19} + 340370 q^{20} - 6 q^{21} - 1986746 q^{22} - 899198 q^{23} + 2032310 q^{25} - 913936 q^{26} + 1904300 q^{27} - 998002 q^{28} - 1956910 q^{29} - 4500490 q^{30} - 6 q^{31} - 3033938 q^{32} + 1003994 q^{33} + 10303990 q^{34} + 4124560 q^{35} - 8100358 q^{36} + 9534392 q^{37} - 14259280 q^{38} - 22510410 q^{39} - 4123060 q^{40} - 4374726 q^{41} + 52199634 q^{42} + 13583342 q^{43} - 2138860 q^{44} - 33978380 q^{45} - 6 q^{46} - 11197058 q^{47} - 32869688 q^{48} + 13239250 q^{50} - 16 q^{51} + 93509212 q^{52} + 53717512 q^{53} + 57025140 q^{54} - 14642290 q^{55} - 262150 q^{56} - 93310490 q^{57} - 97437640 q^{58} + 24222740 q^{59} - 66375070 q^{60} - 18369126 q^{61} + 6782124 q^{62} + 96012652 q^{63} + 112817140 q^{64} + 89469970 q^{65} + 6718458 q^{66} + 74549142 q^{67} - 62262702 q^{68} - 128418860 q^{69} - 177099410 q^{70} + 60703854 q^{71} - 444425220 q^{72} - 171988248 q^{73} + 257329110 q^{75} - 262160 q^{76} + 292751454 q^{77} + 385000804 q^{78} + 138506190 q^{79} + 245270230 q^{80} + 110809772 q^{81} - 73650066 q^{82} - 663197528 q^{83} - 1517250010 q^{84} - 616093620 q^{85} - 6 q^{86} + 494144820 q^{87} + 1287340030 q^{88} + 1051406240 q^{89} + 1480613390 q^{90} - 6 q^{91} - 461835158 q^{92} - 908140736 q^{93} - 1160168810 q^{94} - 920404690 q^{95} + 172437534 q^{96} - 732746208 q^{97} - 167741852 q^{98}+O(q^{100}) \) 152 * q - 8 * q^2 + 62 * q^3 - 10 * q^4 - 230 * q^5 - 6 * q^6 + 2342 * q^7 + 8210 * q^8 - 10 * q^9 - 30880 * q^10 - 6 * q^11 + 45902 * q^12 + 119132 * q^13 - 10 * q^14 - 241450 * q^15 + 524282 * q^16 - 105158 * q^17 + 454052 * q^18 + 718890 * q^19 + 340370 * q^20 - 6 * q^21 - 1986746 * q^22 - 899198 * q^23 + 2032310 * q^25 - 913936 * q^26 + 1904300 * q^27 - 998002 * q^28 - 1956910 * q^29 - 4500490 * q^30 - 6 * q^31 - 3033938 * q^32 + 1003994 * q^33 + 10303990 * q^34 + 4124560 * q^35 - 8100358 * q^36 + 9534392 * q^37 - 14259280 * q^38 - 22510410 * q^39 - 4123060 * q^40 - 4374726 * q^41 + 52199634 * q^42 + 13583342 * q^43 - 2138860 * q^44 - 33978380 * q^45 - 6 * q^46 - 11197058 * q^47 - 32869688 * q^48 + 13239250 * q^50 - 16 * q^51 + 93509212 * q^52 + 53717512 * q^53 + 57025140 * q^54 - 14642290 * q^55 - 262150 * q^56 - 93310490 * q^57 - 97437640 * q^58 + 24222740 * q^59 - 66375070 * q^60 - 18369126 * q^61 + 6782124 * q^62 + 96012652 * q^63 + 112817140 * q^64 + 89469970 * q^65 + 6718458 * q^66 + 74549142 * q^67 - 62262702 * q^68 - 128418860 * q^69 - 177099410 * q^70 + 60703854 * q^71 - 444425220 * q^72 - 171988248 * q^73 + 257329110 * q^75 - 262160 * q^76 + 292751454 * q^77 + 385000804 * q^78 + 138506190 * q^79 + 245270230 * q^80 + 110809772 * q^81 - 73650066 * q^82 - 663197528 * q^83 - 1517250010 * q^84 - 616093620 * q^85 - 6 * q^86 + 494144820 * q^87 + 1287340030 * q^88 + 1051406240 * q^89 + 1480613390 * q^90 - 6 * q^91 - 461835158 * q^92 - 908140736 * q^93 - 1160168810 * q^94 - 920404690 * q^95 + 172437534 * q^96 - 732746208 * q^97 - 167741852 * q^98

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