LMFDB - Embedded newform 197.4.d.a.104.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [197,4,Mod(36,197)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(197, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([12]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("197.36");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 197 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	197.d (of order $7$, 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:	$11.6233762711$
Analytic rank:	$0$
Dimension:	$294$
Relative dimension:	$49$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			104.16
Character	$\chi$	$=$	197.104
Dual form			197.4.d.a.36.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-2.08511 - 1.00413i) q^{2} +(-6.32083 + 3.04395i) q^{3} +(-1.64854 - 2.06720i) q^{4} +(11.8661 - 14.8797i) q^{5} +16.2361 q^{6} +(6.37684 - 3.07092i) q^{7} +(5.48146 + 24.0158i) q^{8} +(13.8531 - 17.3712i) q^{9} +(-39.6833 + 19.1105i) q^{10} +(10.2843 + 4.95266i) q^{11} +(16.7126 + 8.04835i) q^{12} +(-9.36335 + 41.0235i) q^{13} -16.3800 q^{14} +(-29.7109 + 130.172i) q^{15} +(7.97886 - 34.9577i) q^{16} +(43.9141 - 55.0665i) q^{17} +(-46.3281 + 22.3104i) q^{18} +158.406 q^{19} -50.3210 q^{20} +(-30.9592 + 38.8216i) q^{21} +(-16.4707 - 20.6536i) q^{22} +(-141.275 - 68.0345i) q^{23} +(-107.750 - 135.115i) q^{24} +(-52.7841 - 231.262i) q^{25} +(60.7167 - 76.1364i) q^{26} +(7.46435 - 32.7035i) q^{27} +(-16.8606 - 8.11966i) q^{28} +(-75.3785 - 36.3004i) q^{29} +(192.660 - 241.588i) q^{30} +(126.126 + 60.7389i) q^{31} +(71.1307 - 89.1950i) q^{32} -80.0810 q^{33} +(-146.860 + 70.7239i) q^{34} +(29.9741 - 131.325i) q^{35} -58.7469 q^{36} +(-27.9197 - 122.324i) q^{37} +(-330.293 - 159.061i) q^{38} +(-65.6895 - 287.805i) q^{39} +(422.391 + 203.413i) q^{40} +(159.461 - 199.957i) q^{41} +(103.535 - 49.8600i) q^{42} +(-269.672 - 129.867i) q^{43} +(-6.71591 - 29.4243i) q^{44} +(-94.0951 - 412.258i) q^{45} +(226.258 + 283.718i) q^{46} +(101.367 + 444.119i) q^{47} +(55.9764 + 245.249i) q^{48} +(-182.624 + 229.003i) q^{49} +(-122.158 + 535.209i) q^{50} +(-109.954 + 481.738i) q^{51} +(100.240 - 48.2728i) q^{52} +(-432.071 - 541.800i) q^{53} +(-48.4027 + 60.6950i) q^{54} +(195.729 - 94.2580i) q^{55} +(108.705 + 136.312i) q^{56} +(-1001.26 + 482.180i) q^{57} +(120.722 + 151.380i) q^{58} +(71.4194 + 34.3938i) q^{59} +(318.070 - 153.175i) q^{60} +(-496.828 - 239.260i) q^{61} +(-201.995 - 253.294i) q^{62} +(34.9931 - 153.315i) q^{63} +(-496.325 + 239.017i) q^{64} +(499.310 + 626.114i) q^{65} +(166.977 + 80.4121i) q^{66} +(-28.9381 - 126.786i) q^{67} -186.227 q^{68} +1100.07 q^{69} +(-194.367 + 243.729i) q^{70} +(626.094 - 785.097i) q^{71} +(493.118 + 237.473i) q^{72} +(-174.386 - 764.035i) q^{73} +(-64.6145 + 283.094i) q^{74} +(1037.59 + 1301.10i) q^{75} +(-261.138 - 327.456i) q^{76} +80.7905 q^{77} +(-152.025 + 666.064i) q^{78} +(-62.4808 - 78.3485i) q^{79} +(-425.480 - 533.535i) q^{80} +(185.858 + 814.295i) q^{81} +(-533.277 + 256.813i) q^{82} +348.206 q^{83} +131.289 q^{84} +(-298.281 - 1306.85i) q^{85} +(431.890 + 541.573i) q^{86} +586.951 q^{87} +(-62.5693 + 274.134i) q^{88} +(351.651 - 169.346i) q^{89} +(-217.764 + 954.085i) q^{90} +(66.2715 + 290.355i) q^{91} +(92.2562 + 404.201i) q^{92} -982.105 q^{93} +(234.594 - 1027.82i) q^{94} +(1879.67 - 2357.03i) q^{95} +(-178.100 + 780.305i) q^{96} +(-26.8013 + 33.6078i) q^{97} +(610.739 - 294.116i) q^{98} +(228.503 - 110.041i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 294 q - 5 q^{2} - 5 q^{3} - 161 q^{4} - 5 q^{5} + 58 q^{6} + 15 q^{7} + 115 q^{8} - 446 q^{9} - 211 q^{10} + 93 q^{11} - 47 q^{12} + 23 q^{13} + 656 q^{14} + 343 q^{15} - 1505 q^{16} - 17 q^{17} + 132 q^{18}+ \cdots + 4526 q^{99}+O(q^{100}) $ 294 * q - 5 * q^2 - 5 * q^3 - 161 * q^4 - 5 * q^5 + 58 * q^6 + 15 * q^7 + 115 * q^8 - 446 * q^9 - 211 * q^10 + 93 * q^11 - 47 * q^12 + 23 * q^13 + 656 * q^14 + 343 * q^15 - 1505 * q^16 - 17 * q^17 + 132 * q^18 + 512 * q^19 + 148 * q^20 - 47 * q^21 - 845 * q^22 - 143 * q^23 + 775 * q^24 - 952 * q^25 + 39 * q^26 + 1159 * q^27 - 130 * q^28 - 169 * q^29 + 1048 * q^30 - 269 * q^31 - 39 * q^32 + 234 * q^33 + 761 * q^34 + 949 * q^35 + 15930 * q^36 + 715 * q^37 - 987 * q^38 - 417 * q^39 - 3303 * q^40 + 65 * q^41 - 2334 * q^42 + 581 * q^43 - 1751 * q^44 - 2497 * q^45 + 13 * q^46 - 361 * q^47 - 3995 * q^48 - 3728 * q^49 + 3671 * q^50 + 213 * q^51 + 4036 * q^52 - 47 * q^53 + 1358 * q^54 - 4339 * q^55 + 680 * q^56 - 2470 * q^57 + 1483 * q^58 - 3375 * q^59 + 1549 * q^60 + 805 * q^61 - 1149 * q^62 - 4839 * q^63 - 7061 * q^64 + 457 * q^65 + 1224 * q^66 + 2261 * q^67 + 1216 * q^68 - 4378 * q^69 + 1360 * q^70 - 1687 * q^71 + 936 * q^72 + 3075 * q^73 - 601 * q^74 + 3549 * q^75 - 5960 * q^76 - 4318 * q^77 - 11681 * q^78 + 2973 * q^79 - 1671 * q^80 - 4288 * q^81 + 2197 * q^82 + 9380 * q^83 - 7416 * q^84 - 5171 * q^85 - 3868 * q^86 + 1826 * q^87 - 3252 * q^88 - 79 * q^89 + 19791 * q^90 + 8303 * q^91 + 8077 * q^92 + 2118 * q^93 + 6319 * q^94 - 3280 * q^95 - 13752 * q^96 - 17 * q^97 - 4434 * q^98 + 4526 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/197\mathbb{Z}\right)^\times$.

$n$	$2$
$\chi(n)$	$e\left(\frac{1}{7}\right)$

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 $

$2$	−2.08511	−	1.00413i	−0.737196	−	0.355015i	0.0273136	−	0.999627i	$-0.491305\pi$
$2$	−2.08511	−	1.00413i	−0.737196	−	0.355015i	−0.764510	+	0.644612i	$0.777019\pi$
$3$	−6.32083	+	3.04395i	−1.21644	+	0.585809i	−0.928319	−	0.371784i	$-0.878746\pi$
$3$	−6.32083	+	3.04395i	−1.21644	+	0.585809i	−0.288126	+	0.957593i	$0.593032\pi$
$4$	−1.64854	−	2.06720i	−0.206067	−	0.258400i
$5$	11.8661	−	14.8797i	1.06134	−	1.33088i	0.120241	−	0.992745i	$-0.461633\pi$
$5$	11.8661	−	14.8797i	1.06134	−	1.33088i	0.941098	−	0.338133i	$-0.109795\pi$
$6$	16.2361			1.10473
$7$	6.37684	−	3.07092i	0.344317	−	0.165814i	−0.253731	−	0.967275i	$-0.581658\pi$
$7$	6.37684	−	3.07092i	0.344317	−	0.165814i	0.598048	+	0.801461i	$0.295943\pi$
$8$	5.48146	+	24.0158i	0.242248	+	1.06136i
$9$	13.8531	−	17.3712i	0.513076	−	0.643377i
$10$	−39.6833	+	19.1105i	−1.25490	+	0.604327i
$11$	10.2843	+	4.95266i	0.281894	+	0.135753i	0.569489	−	0.821999i	$-0.307141\pi$
$11$	10.2843	+	4.95266i	0.281894	+	0.135753i	−0.287595	+	0.957752i	$0.592856\pi$
$12$	16.7126	+	8.04835i	0.402042	+	0.193613i
$13$	−9.36335	+	41.0235i	−0.199764	+	0.875222i	0.771313	+	0.636455i	$0.219600\pi$
$13$	−9.36335	+	41.0235i	−0.199764	+	0.875222i	−0.971077	+	0.238766i	$0.923257\pi$
$14$	−16.3800			−0.312696
$15$	−29.7109	+	130.172i	−0.511421	+	2.24068i
$16$	7.97886	−	34.9577i	0.124670	−	0.546213i
$17$	43.9141	−	55.0665i	0.626513	−	0.785623i	−0.362731	−	0.931894i	$-0.618156\pi$
$17$	43.9141	−	55.0665i	0.626513	−	0.785623i	0.989245	+	0.146271i	$0.0467271\pi$
$18$	−46.3281	+	22.3104i	−0.606647	+	0.292146i
$19$	158.406			1.91267			0.956337	−	0.292267i	$-0.0944096\pi$
$19$	158.406			1.91267			0.956337	+	0.292267i	$0.0944096\pi$
$20$	−50.3210			−0.562605
$21$	−30.9592	+	38.8216i	−0.321707	+	0.403408i
$22$	−16.4707	−	20.6536i	−0.159617	−	0.200153i
$23$	−141.275	−	68.0345i	−1.28078	−	0.616790i	−0.335188	−	0.942151i	$-0.608800\pi$
$23$	−141.275	−	68.0345i	−1.28078	−	0.616790i	−0.945590	+	0.325361i	$0.894514\pi$
$24$	−107.750	−	135.115i	−0.916436	−	1.14917i
$25$	−52.7841	−	231.262i	−0.422273	−	1.85010i
$26$	60.7167	−	76.1364i	0.457982	−	0.574291i
$27$	7.46435	−	32.7035i	0.0532043	−	0.233103i
$28$	−16.8606	−	8.11966i	−0.113799	−	0.0548026i
$29$	−75.3785	−	36.3004i	−0.482670	−	0.232442i	0.176694	−	0.984266i	$-0.443460\pi$
$29$	−75.3785	−	36.3004i	−0.482670	−	0.232442i	−0.659363	+	0.751824i	$0.729174\pi$
$30$	192.660	−	241.588i	1.17249	−	1.47026i
$31$	126.126	+	60.7389i	0.730736	+	0.351904i	0.761974	−	0.647608i	$-0.224231\pi$
$31$	126.126	+	60.7389i	0.730736	+	0.351904i	−0.0312374	+	0.999512i	$0.509945\pi$
$32$	71.1307	−	89.1950i	0.392945	−	0.492738i
$33$	−80.0810			−0.422434
$34$	−146.860	+	70.7239i	−0.740771	+	0.356737i
$35$	29.9741	−	131.325i	0.144759	−	0.634229i
$36$	−58.7469			−0.271977
$37$	−27.9197	−	122.324i	−0.124053	−	0.543513i	−0.998313	−	0.0580554i	$-0.981510\pi$
$37$	−27.9197	−	122.324i	−0.124053	−	0.543513i	0.874260	−	0.485458i	$-0.161347\pi$
$38$	−330.293	−	159.061i	−1.41002	−	0.679028i
$39$	−65.6895	−	287.805i	−0.269711	−	1.18168i
$40$	422.391	+	203.413i	1.66965	+	0.804060i
$41$	159.461	−	199.957i	0.607405	−	0.761661i	−0.379107	−	0.925353i	$-0.623769\pi$
$41$	159.461	−	199.957i	0.607405	−	0.761661i	0.986512	+	0.163692i	$0.0523402\pi$
$42$	103.535	−	49.8600i	0.380377	−	0.183180i
$43$	−269.672	−	129.867i	−0.956385	−	0.460571i	−0.110464	−	0.993880i	$-0.535234\pi$
$43$	−269.672	−	129.867i	−0.956385	−	0.460571i	−0.845920	+	0.533310i	$0.820948\pi$
$44$	−6.71591	−	29.4243i	−0.0230105	−	0.100816i
$45$	−94.0951	−	412.258i	−0.311708	−	1.36568i
$46$	226.258	+	283.718i	0.725215	+	0.909391i
$47$	101.367	+	444.119i	0.314594	+	1.37833i	0.846889	+	0.531769i	$0.178473\pi$
$47$	101.367	+	444.119i	0.314594	+	1.37833i	−0.532295	+	0.846559i	$0.678670\pi$
$48$	55.9764	+	245.249i	0.168323	+	0.737471i
$49$	−182.624	+	229.003i	−0.532430	+	0.667646i
$50$	−122.158	+	535.209i	−0.345515	+	1.51380i
$51$	−109.954	+	481.738i	−0.301894	+	1.32268i
$52$	100.240	−	48.2728i	0.267322	−	0.128735i
$53$	−432.071	−	541.800i	−1.11980	−	1.40419i	−0.903885	−	0.427775i	$-0.859298\pi$
$53$	−432.071	−	541.800i	−1.11980	−	1.40419i	−0.215916	−	0.976412i	$-0.569274\pi$
$54$	−48.4027	+	60.6950i	−0.121977	+	0.152955i
$55$	195.729	−	94.2580i	0.479856	−	0.231086i
$56$	108.705	+	136.312i	0.259399	+	0.325276i
$57$	−1001.26	+	482.180i	−2.32666	+	1.12046i
$58$	120.722	+	151.380i	0.273302	+	0.342710i
$59$	71.4194	+	34.3938i	0.157594	+	0.0758930i	0.511018	−	0.859570i	$-0.329269\pi$
$59$	71.4194	+	34.3938i	0.157594	+	0.0758930i	−0.353424	+	0.935463i	$0.614983\pi$
$60$	318.070	−	153.175i	0.684379	−	0.329579i
$61$	−496.828	−	239.260i	−1.04282	−	0.502198i	−0.167569	−	0.985860i	$-0.553592\pi$
$61$	−496.828	−	239.260i	−1.04282	−	0.502198i	−0.875254	+	0.483663i	$0.839306\pi$
$62$	−201.995	−	253.294i	−0.413765	−	0.518845i
$63$	34.9931	−	153.315i	0.0699797	−	0.306601i
$64$	−496.325	+	239.017i	−0.969384	+	0.466831i
$65$	499.310	+	626.114i	0.952796	+	1.19477i
$66$	166.977	+	80.4121i	0.311417	+	0.149970i
$67$	−28.9381	−	126.786i	−0.0527664	−	0.231185i	0.941668	−	0.336544i	$-0.109258\pi$
$67$	−28.9381	−	126.786i	−0.0527664	−	0.231185i	−0.994434	+	0.105359i	$0.966401\pi$
$68$	−186.227			−0.332108
$69$	1100.07			1.91932
$70$	−194.367	+	243.729i	−0.331876	+	0.416160i
$71$	626.094	−	785.097i	1.04653	−	1.31231i	0.0981504	−	0.995172i	$-0.468707\pi$
$71$	626.094	−	785.097i	1.04653	−	1.31231i	0.948380	−	0.317136i	$-0.102721\pi$
$72$	493.118	+	237.473i	0.807147	+	0.388701i
$73$	−174.386	−	764.035i	−0.279594	−	1.22498i	−0.898309	−	0.439365i	$-0.855204\pi$
$73$	−174.386	−	764.035i	−0.279594	−	1.22498i	0.618715	−	0.785615i	$-0.287654\pi$
$74$	−64.6145	+	283.094i	−0.101504	+	0.444717i
$75$	1037.59	+	1301.10i	1.59748	+	2.00317i
$76$	−261.138	−	327.456i	−0.394139	−	0.494234i
$77$	80.7905			0.119571
$78$	−152.025	+	666.064i	−0.220685	+	0.966883i
$79$	−62.4808	−	78.3485i	−0.0889828	−	0.111581i	0.735347	−	0.677691i	$-0.237019\pi$
$79$	−62.4808	−	78.3485i	−0.0889828	−	0.111581i	−0.824330	+	0.566110i	$0.808448\pi$
$80$	−425.480	−	533.535i	−0.594626	−	0.745638i
$81$	185.858	+	814.295i	0.254949	+	1.11700i
$82$	−533.277	+	256.813i	−0.718178	+	0.345856i
$83$	348.206			0.460489			0.230244	−	0.973133i	$-0.426047\pi$
$83$	348.206			0.460489			0.230244	+	0.973133i	$0.426047\pi$
$84$	131.289			0.170534
$85$	−298.281	−	1306.85i	−0.380625	−	1.66763i
$86$	431.890	+	541.573i	0.541534	+	0.679062i
$87$	586.951			0.723308
$88$	−62.5693	+	274.134i	−0.0757944	+	0.332077i
$89$	351.651	−	169.346i	0.418820	−	0.201693i	−0.212591	−	0.977141i	$-0.568190\pi$
$89$	351.651	−	169.346i	0.418820	−	0.201693i	0.631411	+	0.775448i	$0.282476\pi$
$90$	−217.764	+	954.085i	−0.255048	+	1.11744i
$91$	66.2715	+	290.355i	0.0763422	+	0.334477i
$92$	92.2562	+	404.201i	0.104548	+	0.458053i
$93$	−982.105			−1.09505
$94$	234.594	−	1027.82i	0.257409	−	1.12778i
$95$	1879.67	−	2357.03i	2.03000	−	2.54553i
$96$	−178.100	+	780.305i	−0.189346	+	0.829579i
$97$	−26.8013	+	33.6078i	−0.0280542	+	0.0351789i	−0.795661	−	0.605743i	$-0.792876\pi$
$97$	−26.8013	+	33.6078i	−0.0280542	+	0.0351789i	0.767606	+	0.640921i	$0.221448\pi$
$98$	610.739	−	294.116i	0.629530	−	0.303166i
$99$	228.503	−	110.041i	0.231973	−	0.111713i
$100$	−391.049	+	490.359i	−0.391049	+	0.490359i
$101$	−10.5900	+	46.3977i	−0.0104331	+	0.0457103i	−0.979877	−	0.199605i	$-0.936034\pi$
$101$	−10.5900	+	46.3977i	−0.0104331	+	0.0457103i	0.969443	+	0.245315i	$0.0788914\pi$
$102$	712.995	−	894.068i	0.692128	−	0.867901i
$103$	−214.237	+	938.633i	−0.204946	+	0.897925i	0.762927	+	0.646484i	$0.223761\pi$
$103$	−214.237	+	938.633i	−0.204946	+	0.897925i	−0.967873	+	0.251441i	$0.919096\pi$
$104$	−1036.54			−0.977318
$105$	210.286	+	921.325i	0.195446	+	0.856305i
$106$	356.874	+	1563.57i	0.327006	+	1.43271i
$107$	35.8463	−	157.053i	0.0323869	−	0.141896i	−0.956150	−	0.292879i	$-0.905387\pi$
$107$	35.8463	−	157.053i	0.0323869	−	0.141896i	0.988536	+	0.150983i	$0.0482438\pi$
$108$	−79.9098	+	38.4825i	−0.0711975	+	0.0342869i
$109$	−50.0761	+	219.398i	−0.0440039	+	0.192794i	−0.992152	−	0.125034i	$-0.960096\pi$
$109$	−50.0761	+	219.398i	−0.0440039	+	0.192794i	0.948149	+	0.317827i	$0.102953\pi$
$110$	−502.763			−0.435787
$111$	548.825	+	688.205i	0.469299	+	0.588483i
$112$	−56.4724	−	247.422i	−0.0476441	−	0.208742i
$113$	−636.471			−0.529860			−0.264930	−	0.964268i	$-0.585349\pi$
$113$	−636.471			−0.529860			−0.264930	+	0.964268i	$0.585349\pi$
$114$	2571.90			2.11299
$115$	−2688.72	+	1294.82i	−2.18021	+	1.04993i
$116$	49.2240	+	215.665i	0.0393995	+	0.172620i
$117$	582.916	+	730.954i	0.460604	+	0.577579i
$118$	−114.381	−	143.429i	−0.0892342	−	0.111896i
$119$	110.928	−	486.007i	0.0854516	−	0.374388i
$120$	−3289.04			−2.50206
$121$	−748.627	−	938.748i	−0.562454	−	0.705296i
$122$	795.690	+	997.763i	0.590478	+	0.740436i
$123$	−399.264	+	1749.29i	−0.292686	+	1.28234i
$124$	−82.3632	−	360.857i	−0.0596487	−	0.261338i
$125$	−1924.07	−	926.582i	−1.37675	−	0.663008i
$126$	−226.913	+	284.540i	−0.160437	+	0.201181i
$127$	1344.81	−	1686.34i	0.939627	−	1.17825i	−0.0441800	−	0.999024i	$-0.514067\pi$
$127$	1344.81	−	1686.34i	0.939627	−	1.17825i	0.983807	−	0.179231i	$-0.0573611\pi$
$128$	362.217			0.250123
$129$	2099.86			1.43320
$130$	−412.411	−	1806.89i	−0.278237	−	1.21904i
$131$	2034.97	+	979.991i	1.35722	+	0.653605i	0.964016	−	0.265845i	$-0.0856509\pi$
$131$	2034.97	+	979.991i	1.35722	+	0.653605i	0.393208	+	0.919450i	$0.371365\pi$
$132$	132.016	+	165.543i	0.0870496	+	0.109157i
$133$	1010.13	−	486.452i	0.658566	−	0.317149i
$134$	−66.9713	+	293.420i	−0.0431749	+	0.189162i
$135$	−398.044	−	499.131i	−0.253764	−	0.318210i
$136$	1563.18	+	752.788i	0.985600	+	0.474640i
$137$	336.313	−	161.960i	0.209731	−	0.101001i	−0.326069	−	0.945346i	$-0.605724\pi$
$137$	336.313	−	161.960i	0.209731	−	0.101001i	0.535800	+	0.844345i	$0.320010\pi$
$138$	−2293.76	−	1104.62i	−1.41491	−	0.681386i
$139$	606.227	+	760.185i	0.369924	+	0.463871i	0.931599	−	0.363488i	$-0.118414\pi$
$139$	606.227	+	760.185i	0.369924	+	0.463871i	−0.561675	+	0.827358i	$0.689843\pi$
$140$	−320.889	+	154.532i	−0.193715	+	0.0932880i
$141$	−1992.60	−	2498.64i	−1.19012	−	1.49237i
$142$	−2093.81	+	1008.33i	−1.23739	+	0.595894i
$143$	−299.471	+	375.525i	−0.175126	+	0.219601i
$144$	−496.724	−	622.873i	−0.287456	−	0.360459i
$145$	−1434.59	+	690.861i	−0.821628	+	0.395675i
$146$	−403.580	+	1768.20i	−0.228771	+	1.00231i
$147$	457.260	−	2003.38i	0.256559	−	1.12406i
$148$	−206.842	+	259.372i	−0.114880	+	0.144056i
$149$	−738.366	−	3234.99i	−0.405969	−	1.77866i	−0.602450	−	0.798157i	$-0.705809\pi$
$149$	−738.366	−	3234.99i	−0.405969	−	1.77866i	0.196481	−	0.980508i	$-0.437049\pi$
$150$	−857.011	−	3754.81i	−0.466498	−	2.04386i
$151$	−155.587	−	195.100i	−0.0838510	−	0.105146i	0.738136	−	0.674652i	$-0.235706\pi$
$151$	−155.587	−	195.100i	−0.0838510	−	0.105146i	−0.821987	+	0.569506i	$0.807135\pi$
$152$	868.295	+	3804.25i	0.463342	+	2.03004i
$153$	−348.226	−	1525.68i	−0.184003	−	0.806169i
$154$	−168.457	−	81.1246i	−0.0881470	−	0.0424494i
$155$	2400.40	−	1155.97i	1.24390	−	0.599031i
$156$	−486.657	+	610.249i	−0.249768	+	0.313199i
$157$	−615.790	−	296.549i	−0.313028	−	0.150746i	0.270773	−	0.962643i	$-0.412721\pi$
$157$	−615.790	−	296.549i	−0.313028	−	0.150746i	−0.583801	+	0.811897i	$0.698435\pi$
$158$	51.6068	+	226.104i	0.0259849	+	0.113847i
$159$	4380.26	+	2109.42i	2.18476	+	1.05213i
$160$	−483.146	−	2116.80i	−0.238725	−	1.04592i
$161$	−1109.82			−0.543266
$162$	430.129	−	1884.52i	0.208606	−	0.913961i
$163$	−990.492	+	476.996i	−0.475959	+	0.229210i	−0.656454	−	0.754366i	$-0.727944\pi$
$163$	−990.492	+	476.996i	−0.475959	+	0.229210i	0.180495	+	0.983576i	$0.442230\pi$
$164$	−676.228			−0.321979
$165$	−950.252	+	1191.58i	−0.448346	+	0.562208i
$166$	−726.046	−	349.645i	−0.339471	−	0.163480i
$167$	−1198.88	+	1503.35i	−0.555522	+	0.696603i	−0.977723	−	0.209900i	$-0.932686\pi$
$167$	−1198.88	+	1503.35i	−0.555522	+	0.696603i	0.422201	+	0.906502i	$0.361258\pi$
$168$	−1102.03	−	530.712i	−0.506094	−	0.243722i
$169$	384.171	+	185.007i	0.174862	+	0.0842089i
$170$	−690.309	+	3024.44i	−0.311437	+	1.36449i
$171$	2194.41	−	2751.70i	0.981347	−	1.23057i
$172$	176.102	+	771.555i	0.0780679	+	0.342038i
$173$	1530.93	+	1919.72i	0.672799	+	0.843663i	0.994669	−	0.103121i	$-0.0328829\pi$
$173$	1530.93	+	1919.72i	0.672799	+	0.843663i	−0.321870	+	0.946784i	$0.604311\pi$
$174$	−1223.86	−	589.378i	−0.533220	−	0.256785i
$175$	−1046.78	−	1312.63i	−0.452168	−	0.567001i
$176$	255.190	−	319.999i	0.109294	−	0.137050i
$177$	−556.123			−0.236163
$178$	−903.277			−0.380357
$179$	3359.64	−	1617.92i	1.40286	−	0.675580i	0.429118	−	0.903248i	$-0.358824\pi$
$179$	3359.64	−	1617.92i	1.40286	−	0.675580i	0.973739	+	0.227668i	$0.0731101\pi$
$180$	−697.099	+	874.135i	−0.288660	+	0.361968i
$181$	129.420	−	567.027i	0.0531477	−	0.232855i	−0.941377	−	0.337356i	$-0.890467\pi$
$181$	129.420	−	567.027i	0.0531477	−	0.232855i	0.994525	+	0.104501i	$0.0333245\pi$
$182$	153.372	−	671.966i	0.0624652	−	0.273678i
$183$	3868.66			1.56273
$184$	859.511	−	3765.77i	0.344370	−	1.50878i
$185$	−2151.44	−	1036.08i	−0.855013	−	0.411752i
$186$	2047.79	+	986.165i	0.807266	+	0.388759i
$187$	724.351	−	348.829i	0.283261	−	0.136411i
$188$	750.974	−	941.692i	0.291332	−	0.365319i
$189$	−52.8309	−	231.467i	−0.0203327	−	0.0890834i
$190$	−6286.07	+	3027.21i	−2.40021	+	1.15588i
$191$	3605.92			1.36605			0.683025	−	0.730395i	$-0.260664\pi$
$191$	3605.92			1.36605			0.683025	+	0.730395i	$0.260664\pi$
$192$	2409.63	−	3021.58i	0.905729	−	1.13575i
$193$	−45.3820	−	56.9072i	−0.0169257	−	0.0212242i	0.773297	−	0.634044i	$-0.218606\pi$
$193$	−45.3820	−	56.9072i	−0.0169257	−	0.0212242i	−0.790222	+	0.612820i	$0.790035\pi$
$194$	89.6303	−	43.1637i	0.0331705	−	0.0159741i
$195$	−5061.92	−	2437.69i	−1.85893	−	0.895213i
$196$	774.455			0.282236
$197$	−294.977	+	2749.25i	−0.106681	+	0.994293i
$197$	−294.977	+	2749.25i	−0.106681	+	0.994293i
$198$	−586.948			−0.210670
$199$	−4353.71	−	2096.64i	−1.55089	−	0.746867i	−0.554530	−	0.832164i	$-0.687102\pi$
$199$	−4353.71	−	2096.64i	−1.55089	−	0.746867i	−0.996356	+	0.0852963i	$0.972816\pi$
$200$	5264.62	−	2535.31i	1.86133	−	0.896367i
$201$	568.844	+	713.308i	0.199618	+	0.250313i
$202$	68.6707	−	86.1103i	0.0239191	−	0.0299936i
$203$	−592.152			−0.204734
$204$	1177.11	−	566.867i	0.403992	−	0.194552i
$205$	−1083.12	−	4745.45i	−0.369016	−	1.61676i
$206$	1389.22	−	1742.03i	0.469862	−	0.589188i
$207$	−3138.93	+	1511.63i	−1.05397	+	0.507563i
$208$	1359.38	+	654.642i	0.453153	+	0.218227i
$209$	1629.09	+	784.530i	0.539171	+	0.259651i
$210$	486.664	−	2132.22i	0.159919	−	0.700652i
$211$	−3311.05			−1.08029			−0.540147	−	0.841570i	$-0.681631\pi$
$211$	−3311.05			−1.08029			−0.540147	+	0.841570i	$0.681631\pi$
$212$	−407.723	+	1786.35i	−0.132087	+	0.578713i
$213$	−1567.64	+	6868.27i	−0.504285	+	2.20942i
$214$	−232.446	+	291.478i	−0.0742508	+	0.0931075i
$215$	−5132.34	+	2471.60i	−1.62801	+	0.784009i
$216$	826.317			0.260295
$217$	990.807			0.309956
$218$	324.719	−	407.185i	0.100884	−	0.126505i
$219$	3427.95	+	4298.52i	1.05771	+	1.32633i
$220$	−517.516	−	249.223i	−0.158595	−	0.0763754i
$221$	1847.84	+	2317.12i	0.562439	+	0.705277i
$222$	−453.309	−	1986.08i	−0.137045	−	0.600436i
$223$	−1860.26	+	2332.69i	−0.558619	+	0.700486i	−0.978302	−	0.207185i	$-0.933570\pi$
$223$	−1860.26	+	2332.69i	−0.558619	+	0.700486i	0.419683	+	0.907671i	$0.362141\pi$
$224$	179.678	−	787.219i	0.0535947	−	0.234814i
$225$	−4748.52	−	2286.77i	−1.40697	−	0.677561i
$226$	1327.11	+	639.102i	0.390611	+	0.188108i
$227$	604.135	−	757.561i	0.176642	−	0.221503i	−0.685626	−	0.727954i	$-0.740472\pi$
$227$	604.135	−	757.561i	0.176642	−	0.221503i	0.862269	+	0.506451i	$0.169043\pi$
$228$	2647.37	+	1274.91i	0.768975	+	0.370319i
$229$	1639.89	−	2056.36i	0.473219	−	0.593398i	−0.486737	−	0.873549i	$-0.661813\pi$
$229$	1639.89	−	2056.36i	0.473219	−	0.593398i	0.959956	+	0.280150i	$0.0903843\pi$
$230$	6906.44			1.97999
$231$	−510.664	+	245.923i	−0.145451	+	0.0700455i
$232$	458.599	−	2009.26i	0.129778	−	0.568595i
$233$	−6354.26			−1.78662			−0.893308	−	0.449445i	$-0.851622\pi$
$233$	−6354.26			−1.78662			−0.893308	+	0.449445i	$0.851622\pi$
$234$	−481.467	−	2109.44i	−0.134506	−	0.589310i
$235$	7811.18	+	3761.67i	2.16828	+	1.04419i
$236$	−46.6387	−	204.337i	−0.0128641	−	0.0563612i
$237$	633.420	+	305.039i	0.173608	+	0.0836051i
$238$	−719.313	+	901.989i	−0.195908	+	0.245661i
$239$	−262.723	+	126.521i	−0.0711052	+	0.0342424i	−0.469098	−	0.883146i	$-0.655421\pi$
$239$	−262.723	+	126.521i	−0.0711052	+	0.0342424i	0.397993	+	0.917388i	$0.369707\pi$
$240$	4313.44	+	2077.25i	1.16013	+	0.558690i
$241$	−686.892	−	3009.47i	−0.183596	−	0.804386i	−0.979900	−	0.199490i	$-0.936072\pi$
$241$	−686.892	−	3009.47i	−0.183596	−	0.804386i	0.796304	−	0.604897i	$-0.206786\pi$
$242$	618.337	+	2709.11i	0.164249	+	0.719621i
$243$	−3088.76	−	3873.18i	−0.815406	−	1.02249i
$244$	324.441	+	1421.47i	0.0851238	+	0.372952i
$245$	1240.45	+	5434.75i	0.323466	+	1.41720i
$246$	2589.03	−	3246.54i	0.671018	−	0.841430i
$247$	−1483.21	+	6498.37i	−0.382083	+	1.67401i
$248$	−767.343	+	3361.95i	−0.196477	+	0.860822i
$249$	−2200.95	+	1059.92i	−0.560159	+	0.269758i
$250$	3081.47	+	3864.04i	0.779558	+	0.977534i
$251$	2643.47	−	3314.80i	0.664757	−	0.833579i	−0.329095	−	0.944297i	$-0.606743\pi$
$251$	2643.47	−	3314.80i	0.664757	−	0.833579i	0.993852	+	0.110718i	$0.0353149\pi$
$252$	−374.620	+	180.407i	−0.0936461	+	0.0450976i
$253$	−1115.96	−	1399.37i	−0.277312	−	0.347739i
$254$	−4497.38	+	2165.83i	−1.11099	+	0.535024i
$255$	5863.38	+	7352.45i	1.43992	+	1.80560i
$256$	3215.34	+	1548.42i	0.784994	+	0.378033i
$257$	6293.88	−	3030.97i	1.52763	−	0.735669i	0.533701	−	0.845673i	$-0.320801\pi$
$257$	6293.88	−	3030.97i	1.52763	−	0.735669i	0.993931	+	0.110005i	$0.0350865\pi$
$258$	−4378.43	−	2108.54i	−1.05655	−	0.508806i
$259$	−553.688	−	694.303i	−0.132836	−	0.166571i
$260$	471.173	−	2064.34i	0.112388	−	0.492404i
$261$	−1674.80	+	806.542i	−0.397194	+	0.191279i
$262$	−3259.09	−	4086.77i	−0.768501	−	0.963670i
$263$	−1369.49	−	659.514i	−0.321090	−	0.154629i	0.266395	−	0.963864i	$-0.414168\pi$
$263$	−1369.49	−	659.514i	−0.321090	−	0.154629i	−0.587485	+	0.809235i	$0.699882\pi$
$264$	−438.961	−	1923.21i	−0.102334	−	0.448354i
$265$	−13188.8			−3.05729
$266$	−2594.69			−0.598085
$267$	−1707.25	+	2140.82i	−0.391318	+	0.490697i
$268$	−214.386	+	268.832i	−0.0488647	+	0.0612744i
$269$	7948.55	+	3827.82i	1.80160	+	0.867607i	0.909147	+	0.416476i	$0.136735\pi$
$269$	7948.55	+	3827.82i	1.80160	+	0.867607i	0.892458	+	0.451131i	$0.148979\pi$
$270$	328.769	+	1440.43i	0.0741046	+	0.324673i
$271$	1487.36	−	6516.54i	0.333397	−	1.46071i	−0.479109	−	0.877755i	$-0.659040\pi$
$271$	1487.36	−	6516.54i	0.333397	−	1.46071i	0.812506	−	0.582952i	$-0.198103\pi$
$272$	−1574.61	−	1974.50i	−0.351011	−	0.440153i
$273$	−1302.72	−	1633.56i	−0.288806	−	0.362151i
$274$	−863.877			−0.190470
$275$	602.516	−	2639.79i	0.132120	−	0.578856i
$276$	−1813.50	−	2274.06i	−0.395508	−	0.495951i
$277$	2746.25	+	3443.69i	0.595690	+	0.746972i	0.984699	−	0.174262i	$-0.0557541\pi$
$277$	2746.25	+	3443.69i	0.595690	+	0.746972i	−0.389009	+	0.921234i	$0.627183\pi$
$278$	−500.720	−	2193.80i	−0.108026	−	0.473293i
$279$	2802.33	−	1349.53i	0.601330	−	0.289585i
$280$	3318.19			0.708213
$281$	56.1805			0.0119269			0.00596343	−	0.999982i	$-0.498102\pi$
$281$	56.1805			0.0119269			0.00596343	+	0.999982i	$0.498102\pi$
$282$	1645.81	+	7210.78i	0.347542	+	1.52268i
$283$	828.731	+	1039.20i	0.174074	+	0.218282i	0.861213	−	0.508244i	$-0.169705\pi$
$283$	828.731	+	1039.20i	0.174074	+	0.218282i	−0.687139	+	0.726526i	$0.741134\pi$
$284$	−2655.09			−0.554755
$285$	−4706.38	+	20620.0i	−0.978181	+	4.28569i
$286$	1001.51	−	482.300i	0.207064	−	0.0997168i
$287$	402.801	−	1764.79i	0.0828453	−	0.362969i
$288$	−564.046	−	2471.25i	−0.115405	−	0.505624i
$289$	−10.6285	−	46.5666i	−0.00216335	−	0.00947824i
$290$	3684.99			0.746172
$291$	67.1061	−	294.011i	0.0135183	−	0.0592276i
$292$	−1291.93	+	1620.03i	−0.258920	+	0.324675i
$293$	842.077	−	3689.38i	0.167900	−	0.735617i	−0.818935	−	0.573886i	$-0.805435\pi$
$293$	842.077	−	3689.38i	0.167900	−	0.735617i	0.986835	−	0.161731i	$-0.0517077\pi$
$294$	−2965.10	+	3718.12i	−0.588191	+	0.737569i
$295$	1359.24	−	654.576i	0.268265	−	0.129189i
$296$	2784.68	−	1341.03i	0.546812	−	0.263331i
$297$	238.735	−	299.364i	0.0466424	−	0.0584877i
$298$	−1708.80	+	7486.73i	−0.332174	+	1.45535i
$299$	4113.82	−	5158.57i	0.795681	−	0.997752i
$300$	979.122	−	4289.81i	0.188432	−	0.825575i
$301$	−2118.46			−0.405669
$302$	128.509	+	563.035i	0.0244863	+	0.107282i
$303$	−74.2949	−	325.507i	−0.0140862	−	0.0617158i
$304$	1263.90	−	5537.50i	0.238452	−	1.04473i
$305$	−9455.53	+	4553.54i	−1.77515	+	0.854869i
$306$	−805.898	+	3530.87i	−0.150556	+	0.659628i
$307$	−4918.01			−0.914285			−0.457142	−	0.889394i	$-0.651127\pi$
$307$	−4918.01			−0.914285			−0.457142	+	0.889394i	$0.651127\pi$
$308$	−133.186	−	167.010i	−0.0246395	−	0.0308970i
$309$	−1503.00	−	6585.07i	−0.276708	−	1.21234i
$310$	−6165.83			−1.12966
$311$	−8994.65			−1.64000			−0.819999	−	0.572364i	$-0.806026\pi$
$311$	−8994.65			−1.64000			−0.819999	+	0.572364i	$0.806026\pi$
$312$	6551.79	−	3155.18i	1.18885	−	0.572521i
$313$	1608.29	+	7046.38i	0.290434	+	1.27248i	0.883923	+	0.467633i	$0.154893\pi$
$313$	1608.29	+	7046.38i	0.290434	+	1.27248i	−0.593489	+	0.804842i	$0.702250\pi$
$314$	986.214	+	1236.67i	0.177246	+	0.222259i
$315$	−1866.04	−	2339.94i	−0.333776	−	0.418542i
$316$	−58.9599	+	258.320i	−0.0104961	+	0.0459863i
$317$	2680.27			0.474886			0.237443	−	0.971401i	$-0.423691\pi$
$317$	2680.27			0.474886			0.237443	+	0.971401i	$0.423691\pi$
$318$	−7015.16	−	8796.74i	−1.23708	−	1.55125i
$319$	−595.432	−	746.648i	−0.104507	−	0.131048i
$320$	−2332.96	+	10221.4i	−0.407551	+	1.78560i
$321$	251.483	+	1101.82i	0.0437272	+	0.191581i
$322$	2314.09	+	1114.40i	0.400494	+	0.192868i
$323$	6956.25	−	8722.86i	1.19832	−	1.50264i
$324$	1376.92	−	1726.60i	0.236097	−	0.296056i
$325$	9981.44			1.70360
$326$	2544.25			0.432248
$327$	−351.314	−	1539.21i	−0.0594119	−	0.260301i
$328$	5676.22	+	2733.52i	0.955540	+	0.460164i
$329$	2010.26	+	2520.78i	0.336867	+	0.422417i
$330$	3177.88	−	1530.39i	0.530111	−	0.255288i
$331$	−1253.73	+	5492.94i	−0.208191	+	0.912143i	0.757579	+	0.652743i	$0.226382\pi$
$331$	−1253.73	+	5492.94i	−0.208191	+	0.912143i	−0.965770	+	0.259400i	$0.916475\pi$
$332$	−574.030	−	719.811i	−0.0948915	−	0.118990i
$333$	−2511.69	−	1209.57i	−0.413333	−	0.199051i
$334$	4009.36	−	1930.80i	0.656833	−	0.316314i
$335$	−2229.92	−	1073.87i	−0.363682	−	0.175140i
$336$	1110.09	+	1392.01i	0.180240	+	0.226013i
$337$	−63.3821	+	30.5232i	−0.0102452	+	0.00493384i	−0.438999	−	0.898487i	$-0.644667\pi$
$337$	−63.3821	+	30.5232i	−0.0102452	+	0.00493384i	0.428754	+	0.903421i	$0.358953\pi$
$338$	−615.265	−	771.518i	−0.0990119	−	0.124157i
$339$	4023.03	−	1937.39i	0.644545	−	0.310397i
$340$	−2209.80	+	2771.00i	−0.352480	+	0.441996i
$341$	996.295	+	1249.31i	0.158218	+	0.198399i
$342$	−7338.64	+	3534.10i	−1.16032	+	0.558779i
$343$	−1001.52	+	4387.94i	−0.157659	+	0.690748i
$344$	1640.67	−	7188.25i	0.257148	−	1.12664i
$345$	13053.6	−	16368.7i	2.03705	−	2.55438i
$346$	−1264.49	−	5540.08i	−0.196472	−	0.860799i
$347$	−247.227	−	1083.17i	−0.0382474	−	0.167573i	0.952197	−	0.305484i	$-0.0988183\pi$
$347$	−247.227	−	1083.17i	−0.0382474	−	0.167573i	−0.990445	+	0.137911i	$0.955961\pi$
$348$	−967.610	−	1213.34i	−0.149050	−	0.186903i
$349$	1490.18	+	6528.92i	0.228561	+	1.00139i	0.950814	+	0.309762i	$0.100249\pi$
$349$	1490.18	+	6528.92i	0.228561	+	1.00139i	−0.722253	+	0.691629i	$0.756894\pi$
$350$	864.604	+	3788.08i	0.132043	+	0.578518i
$351$	1271.72	+	612.428i	0.193389	+	0.0931311i
$352$	1173.28	−	565.023i	0.177659	−	0.0855563i
$353$	7070.00	−	8865.50i	1.06600	−	1.33672i	0.127347	−	0.991858i	$-0.459354\pi$
$353$	7070.00	−	8865.50i	1.06600	−	1.33672i	0.938653	−	0.344863i	$-0.112075\pi$
$354$	1159.58	+	558.422i	0.174098	+	0.0838413i
$355$	−4252.66	−	18632.1i	−0.635797	−	2.78561i
$356$	−929.783	−	447.760i	−0.138422	−	0.0666607i
$357$	778.225	+	3409.63i	0.115373	+	0.505481i
$358$	−8629.82			−1.27402
$359$	−177.245	+	776.561i	−0.0260575	+	0.114165i	−0.986284	−	0.165057i	$-0.947219\pi$
$359$	−177.245	+	776.561i	−0.0260575	+	0.114165i	0.960227	+	0.279222i	$0.0900765\pi$
$360$	9384.94	−	4519.55i	1.37397	−	0.661670i
$361$	18233.4			2.65832
$362$	−839.227	+	1052.36i	−0.121847	+	0.152792i
$363$	7589.45	+	3654.89i	1.09736	+	0.528462i
$364$	490.969	−	615.656i	0.0706972	−	0.0886515i
$365$	−13437.9	−	6471.34i	−1.92704	−	0.928015i
$366$	−8066.57	−	3884.65i	−1.15204	−	0.554793i
$367$	−1264.49	+	5540.10i	−0.179853	+	0.787986i	0.801844	+	0.597534i	$0.203853\pi$
$367$	−1264.49	+	5540.10i	−0.179853	+	0.787986i	−0.981696	+	0.190452i	$0.939005\pi$
$368$	−3505.54	+	4395.81i	−0.496573	+	0.622683i
$369$	−1264.48	−	5540.05i	−0.178391	−	0.781581i
$370$	3445.63	+	4320.68i	0.484134	+	0.607085i
$371$	−4419.07	−	2128.11i	−0.618401	−	0.297806i
$372$	1619.04	+	2030.21i	0.225653	+	0.282960i
$373$	−3373.80	+	4230.61i	−0.468334	+	0.587272i	−0.958762	−	0.284209i	$-0.908269\pi$
$373$	−3373.80	+	4230.61i	−0.468334	+	0.587272i	0.490428	+	0.871482i	$0.336840\pi$
$374$	−1860.62			−0.257247
$375$	14982.2			2.06314
$376$	−10110.2	+	4868.84i	−1.38669	+	0.667796i
$377$	2194.96	−	2752.40i	0.299858	−	0.376010i
$378$	−122.266	+	535.683i	−0.0166368	+	0.0728904i
$379$	−1629.25	+	7138.23i	−0.220816	+	0.967457i	0.736050	+	0.676927i	$0.236689\pi$
$379$	−1629.25	+	7138.23i	−0.220816	+	0.967457i	−0.956866	+	0.290530i	$0.906168\pi$
$380$	−7971.14			−1.07608
$381$	−3367.19	+	14752.6i	−0.452772	+	1.98372i
$382$	−7518.73	−	3620.83i	−1.00705	−	0.484968i
$383$	5064.22	+	2438.80i	0.675639	+	0.325371i	0.740049	−	0.672553i	$-0.234802\pi$
$383$	5064.22	+	2438.80i	0.675639	+	0.325371i	−0.0644100	+	0.997924i	$0.520517\pi$
$384$	−2289.52	+	1102.57i	−0.304261	+	0.146525i
$385$	958.672	−	1202.14i	0.126905	−	0.159134i
$386$	37.4838	+	164.227i	0.00494268	+	0.0216553i
$387$	−5991.72	+	2885.46i	−0.787019	+	0.379008i
$388$	113.657			0.0148713
$389$	−3724.54	+	4670.43i	−0.485455	+	0.608741i	−0.962879	−	0.269932i	$-0.912999\pi$
$389$	−3724.54	+	4670.43i	−0.485455	+	0.608741i	0.477425	+	0.878673i	$0.341570\pi$
$390$	8106.86	+	10165.7i	1.05258	+	1.31990i
$391$	−9950.38	+	4791.85i	−1.28699	+	0.619781i
$392$	−6500.73	−	3130.59i	−0.837593	−	0.403364i
$393$	−15845.8			−2.03388
$394$	3375.67	−	5436.28i	0.431634	−	0.695116i
$395$	−1907.20			−0.242941
$396$	−604.171	−	290.954i	−0.0766685	−	0.0369216i
$397$	8950.75	−	4310.45i	1.13155	−	0.544926i	0.228108	−	0.973636i	$-0.426746\pi$
$397$	8950.75	−	4310.45i	1.13155	−	0.544926i	0.903442	+	0.428710i	$0.141032\pi$
$398$	6972.64	+	8743.42i	0.878158	+	1.10118i
$399$	−4904.12	+	6149.57i	−0.615320	+	0.771587i
$400$	−8505.55			−1.06319
$401$	−763.916	+	367.883i	−0.0951325	+	0.0458134i	−0.480845	−	0.876806i	$-0.659670\pi$
$401$	−763.916	+	367.883i	−0.0951325	+	0.0458134i	0.385712	+	0.922619i	$0.373956\pi$
$402$	−469.843	−	2058.52i	−0.0582927	−	0.255397i
$403$	−3672.68	+	4605.40i	−0.453969	+	0.569259i
$404$	113.371	−	54.5966i	0.0139614	−	0.00672347i
$405$	14321.9	+	6897.04i	1.75718	+	0.846214i
$406$	1234.70	+	594.600i	0.150929	+	0.0726835i
$407$	318.696	−	1396.30i	0.0388137	−	0.170054i
$408$	−12172.1			−1.47698
$409$	2559.86	−	11215.5i	0.309479	−	1.35591i	−0.545874	−	0.837868i	$-0.683802\pi$
$409$	2559.86	−	11215.5i	0.309479	−	1.35591i	0.855352	−	0.518047i	$-0.173341\pi$
$410$	−2506.65	+	10982.4i	−0.301938	+	1.32288i
$411$	−1632.78	+	2047.44i	−0.195959	+	0.245725i
$412$	2293.52	−	1104.50i	0.274256	−	0.132075i
$413$	561.051			0.0668462
$414$	8062.88			0.957172
$415$	4131.86	−	5181.19i	0.488735	−	0.612854i
$416$	2993.07	+	3753.20i	0.352758	+	0.442345i
$417$	−6145.83	−	2959.67i	−0.721732	−	0.347568i
$418$	−2609.06	−	3271.66i	−0.305295	−	0.382828i
$419$	1098.84	+	4814.31i	0.128118	+	0.561324i	0.997715	+	0.0675609i	$0.0215217\pi$
$419$	1098.84	+	4814.31i	0.128118	+	0.561324i	−0.869597	+	0.493763i	$0.835621\pi$
$420$	1557.90	−	1953.54i	0.180994	−	0.226959i
$421$	−1936.33	+	8483.63i	−0.224159	+	0.982106i	0.730150	+	0.683287i	$0.239450\pi$
$421$	−1936.33	+	8483.63i	−0.224159	+	0.982106i	−0.954310	+	0.298820i	$0.903407\pi$
$422$	6903.89	+	3324.74i	0.796389	+	0.383521i
$423$	9119.12	+	4391.54i	1.04820	+	0.504784i
$424$	10643.4	−	13346.4i	1.21908	−	1.52867i
$425$	−15052.8	−	7249.03i	−1.71804	−	0.827364i
$426$	10165.4	−	12746.9i	1.15613	−	1.44975i
$427$	−3902.94			−0.442333
$428$	−383.754	+	184.806i	−0.0433398	+	0.0208713i
$429$	749.827	−	3285.21i	0.0843869	−	0.369723i
$430$	13183.3			1.47850
$431$	−2253.33	−	9872.50i	−0.251831	−	1.10335i	−0.929745	−	0.368204i	$-0.879973\pi$
$431$	−2253.33	−	9872.50i	−0.251831	−	1.10335i	0.677914	−	0.735141i	$-0.262884\pi$
$432$	−1083.68	−	521.873i	−0.120691	−	0.0581218i
$433$	−1933.91	−	8473.01i	−0.214637	−	0.940385i	−0.961370	−	0.275261i	$-0.911236\pi$
$433$	−1933.91	−	8473.01i	−0.214637	−	0.940385i	0.746733	−	0.665124i	$-0.231621\pi$
$434$	−2065.94	−	994.903i	−0.228498	−	0.110039i
$435$	6964.84	−	8733.64i	0.767675	−	0.962634i
$436$	536.091	−	258.168i	0.0588856	−	0.0283578i
$437$	−22378.8	−	10777.1i	−2.44971	−	1.17972i
$438$	−2831.36	−	12405.0i	−0.308876	−	1.35327i
$439$	−1583.37	−	6937.18i	−0.172141	−	0.754199i	−0.985115	−	0.171899i	$-0.945010\pi$
$439$	−1583.37	−	6937.18i	−0.172141	−	0.754199i	0.812974	−	0.582300i	$-0.197847\pi$
$440$	3336.56	+	4183.92i	0.361510	+	0.453319i
$441$	1448.15	+	6344.77i	0.156371	+	0.685107i
$442$	−1526.24	−	6686.91i	−0.164244	−	0.719602i
$443$	943.529	−	1183.15i	0.101193	−	0.126892i	−0.728657	−	0.684879i	$-0.759855\pi$
$443$	943.529	−	1183.15i	0.101193	−	0.126892i	0.829849	+	0.557988i	$0.188426\pi$
$444$	517.899	−	2269.06i	0.0553567	−	0.242534i
$445$	1652.93	−	7241.94i	0.176081	−	0.771463i
$446$	6221.17	−	2995.96i	0.660495	−	0.318078i
$447$	14514.3	+	18200.3i	1.53580	+	1.92583i
$448$	−2430.98	+	3048.35i	−0.256368	+	0.321475i
$449$	−7391.84	+	3559.72i	−0.776932	+	0.374151i	−0.779948	−	0.625845i	$-0.784754\pi$
$449$	−7391.84	+	3559.72i	−0.776932	+	0.374151i	0.00301554	+	0.999995i	$0.499040\pi$
$450$	7604.95	+	9536.31i	0.796669	+	0.998991i
$451$	2630.26	−	1266.67i	0.274621	−	0.132251i
$452$	1049.24	+	1315.71i	0.109187	+	0.136916i
$453$	1577.32	+	759.595i	0.163596	+	0.0787834i
$454$	−2020.38	+	972.963i	−0.208857	+	0.100580i
$455$	5106.77	+	2459.29i	0.526173	+	0.253392i
$456$	−17068.3	−	21403.0i	−1.75284	−	2.19800i
$457$	649.417	−	2845.28i	0.0664736	−	0.291240i	−0.930755	−	0.365645i	$-0.880849\pi$
$457$	649.417	−	2845.28i	0.0664736	−	0.291240i	0.997228	+	0.0744048i	$0.0237057\pi$
$458$	−5484.22	+	2641.06i	−0.559521	+	0.269451i
$459$	−1473.08	−	1847.18i	−0.149798	−	0.187841i
$460$	7109.10	+	3423.56i	0.720572	+	0.347009i
$461$	835.799	+	3661.87i	0.0844404	+	0.369958i	0.999439	−	0.0335001i	$-0.0106654\pi$
$461$	835.799	+	3661.87i	0.0844404	+	0.369958i	−0.914998	+	0.403458i	$0.867808\pi$
$462$	1311.73			0.132093
$463$	−9777.66			−0.981439			−0.490720	−	0.871317i	$-0.663266\pi$
$463$	−9777.66			−0.981439			−0.490720	+	0.871317i	$0.663266\pi$
$464$	−1870.41	+	2345.42i	−0.187137	+	0.234662i
$465$	−11653.8	+	14613.4i	−1.16222	+	1.45738i
$466$	13249.3	+	6380.53i	1.31709	+	0.634276i
$467$	546.570	+	2394.68i	0.0541590	+	0.237286i	0.994761	−	0.102224i	$-0.0325959\pi$
$467$	546.570	+	2394.68i	0.0541590	+	0.237286i	−0.940602	+	0.339510i	$0.889739\pi$
$468$	550.068	−	2410.01i	0.0543310	−	0.238040i
$469$	−573.884	−	719.628i	−0.0565021	−	0.0708514i
$470$	−12509.9	−	15686.9i	−1.22774	−	1.53954i
$471$	4794.99			0.469090
$472$	−434.513	+	1903.72i	−0.0423730	+	0.185648i
$473$	−2130.20	−	2671.18i	−0.207075	−	0.259664i
$474$	−1014.45	−	1272.08i	−0.0983019	−	0.123267i
$475$	−8361.31	−	36633.3i	−0.807670	−	3.53864i
$476$	−1187.54	+	571.890i	−0.114351	+	0.0550683i
$477$	−15397.2			−1.47797
$478$	674.849			0.0645751
$479$	2705.29	+	11852.7i	0.258054	+	1.13061i	0.923329	+	0.384010i	$0.125457\pi$
$479$	2705.29	+	11852.7i	0.258054	+	1.13061i	−0.665275	+	0.746598i	$0.731686\pi$
$480$	9497.33	+	11909.3i	0.903108	+	1.13246i
$481$	5279.60			0.500476
$482$	−1589.67	+	6964.80i	−0.150223	+	0.658170i
$483$	7014.97	−	3378.23i	0.660853	−	0.318250i
$484$	−706.441	+	3095.12i	−0.0663449	+	0.290676i
$485$	182.044	+	797.589i	0.0170437	+	0.0746735i
$486$	2551.19	+	11177.5i	0.238116	+	1.04326i
$487$	−20038.7			−1.86456			−0.932281	−	0.361734i	$-0.882185\pi$
$487$	−20038.7			−1.86456			−0.932281	+	0.361734i	$0.882185\pi$
$488$	3022.68	−	13243.2i	0.280390	−	1.22847i
$489$	4808.78	−	6030.02i	0.444705	−	0.557642i
$490$	2870.76	−	12577.6i	0.264669	−	1.15959i
$491$	−837.065	+	1049.65i	−0.0769373	+	0.0964763i	−0.818811	−	0.574064i	$-0.805366\pi$
$491$	−837.065	+	1049.65i	−0.0769373	+	0.0964763i	0.741873	+	0.670540i	$0.233938\pi$
$492$	4274.33	−	2058.41i	0.391670	−	0.188618i
$493$	−5309.11	+	2556.73i	−0.485011	+	0.233569i
$494$	9617.89	−	12060.4i	0.875970	−	1.09843i
$495$	1074.07	−	4705.80i	0.0975269	−	0.427293i
$496$	3129.63	−	3924.43i	0.283315	−	0.355266i
$497$	1581.53	−	6929.12i	0.142739	−	0.625379i
$498$	5653.52			0.508716
$499$	−1361.83	−	5966.57i	−0.122172	−	0.535271i	−0.998559	−	0.0536634i	$-0.982910\pi$
$499$	−1361.83	−	5966.57i	−0.122172	−	0.535271i	0.876387	−	0.481608i	$-0.159947\pi$
$500$	1256.46	+	5504.93i	0.112382	+	0.492376i
$501$	3001.80	−	13151.8i	0.267686	−	1.17281i
$502$	−8840.41	+	4257.32i	−0.785990	+	0.378513i
$503$	−4470.64	+	19587.2i	−0.396295	+	1.73628i	0.245494	+	0.969398i	$0.421050\pi$
$503$	−4470.64	+	19587.2i	−0.396295	+	1.73628i	−0.641789	+	0.766882i	$0.721807\pi$
$504$	3873.80			0.342366
$505$	564.720	+	708.136i	0.0497618	+	0.0623993i
$506$	921.743	+	4038.42i	0.0809812	+	0.354802i
$507$	−2991.43			−0.262040
$508$	−5702.96			−0.498087
$509$	3064.17	−	1475.63i	0.266831	−	0.128499i	−0.295685	−	0.955286i	$-0.595548\pi$
$509$	3064.17	−	1475.63i	0.266831	−	0.128499i	0.562516	+	0.826786i	$0.309834\pi$
$510$	−4842.93	−	21218.3i	−0.420487	−	1.84228i
$511$	−3458.32	−	4336.60i	−0.299388	−	0.375421i
$512$	−6956.20	−	8722.80i	−0.600437	−	0.752924i
$513$	1182.40	−	5180.42i	0.101762	−	0.445850i
$514$	−16166.9			−1.38734
$515$	11424.4	+	14325.7i	0.977512	+	1.22576i
$516$	−3461.69	−	4340.82i	−0.295334	−	0.370337i
$517$	−1157.08	+	5069.49i	−0.0984299	+	0.431249i
$518$	457.325	+	2003.67i	0.0387910	+	0.169954i
$519$	−15520.3	−	7474.17i	−1.31265	−	0.632138i
$520$	−12299.7	+	15423.4i	−1.03727	+	1.30069i
$521$	316.898	−	397.377i	0.0266479	−	0.0334154i	−0.768329	−	0.640055i	$-0.778912\pi$
$521$	316.898	−	397.377i	0.0266479	−	0.0334154i	0.794977	+	0.606640i	$0.207483\pi$
$522$	4302.02			0.360717
$523$	9948.61			0.831783			0.415891	−	0.909414i	$-0.363470\pi$
$523$	9948.61			0.831783			0.415891	+	0.909414i	$0.363470\pi$
$524$	−1328.89	−	5822.24i	−0.110788	−	0.485393i
$525$	10612.1	+	5110.53i	0.882193	+	0.424842i
$526$	2193.30	+	2750.31i	0.181811	+	0.227984i
$527$	8883.36	−	4278.00i	0.734280	−	0.353611i
$528$	−638.955	+	2799.44i	−0.0526647	+	0.230739i
$529$	7743.95	+	9710.60i	0.636471	+	0.798110i
$530$	27500.1	+	13243.3i	2.25382	+	1.08538i
$531$	1586.84	−	764.181i	0.129685	−	0.0624532i
$532$	−2670.83	−	1286.20i	−0.217660	−	0.104819i
$533$	6709.87	+	8413.92i	0.545285	+	0.683766i
$534$	5709.47	−	2749.53i	0.462683	−	0.222816i
$535$	−1911.54	−	2396.99i	−0.154473	−	0.193703i
$536$	2886.25	−	1389.95i	0.232588	−	0.112008i
$537$	−16310.9	+	20453.2i	−1.31074	+	1.64361i
$538$	−12729.9	−	15962.8i	−1.02012	−	1.27919i
$539$	−3012.33	+	1450.66i	−0.240724	+	0.115926i
$540$	−375.614	+	1645.67i	−0.0299330	+	0.131145i
$541$	−3711.83	+	16262.6i	−0.294979	+	1.29239i	0.582522	+	0.812815i	$0.302066\pi$
$541$	−3711.83	+	16262.6i	−0.294979	+	1.29239i	−0.877501	+	0.479574i	$0.840791\pi$
$542$	−9644.78	+	12094.2i	−0.764352	+	0.958467i
$543$	907.961	+	3978.04i	0.0717575	+	0.314390i
$544$	−1788.02	−	7833.83i	−0.140921	−	0.617413i
$545$	2670.36	+	3348.52i	0.209882	+	0.263183i
$546$	1075.99	+	4714.24i	0.0843376	+	0.369507i
$547$	3647.81	+	15982.1i	0.285136	+	1.24926i	0.891114	+	0.453779i	$0.149925\pi$
$547$	3647.81	+	15982.1i	0.285136	+	1.24926i	−0.605979	+	0.795481i	$0.707218\pi$
$548$	−889.227	−	428.229i	−0.0693173	−	0.0333814i
$549$	−11038.8	+	5316.01i	−0.858151	+	0.413264i
$550$	−3907.02	+	4899.24i	−0.302901	+	0.379826i
$551$	−11940.4	−	5750.19i	−0.923190	−	0.444585i
$552$	6029.98	+	26419.1i	0.464951	+	2.03709i
$553$	−639.032	−	307.742i	−0.0491400	−	0.0236646i
$554$	−2268.30	−	9938.06i	−0.173954	−	0.762144i
$555$	16752.7			1.28128
$556$	572.065	−	2506.38i	0.0436349	−	0.191177i
$557$	−5373.61	+	2587.79i	−0.408774	+	0.196855i	−0.626959	−	0.779052i	$-0.715701\pi$
$557$	−5373.61	+	2587.79i	−0.408774	+	0.196855i	0.218185	+	0.975907i	$0.429986\pi$
$558$	−7198.27			−0.546106
$559$	7852.63	−	9846.89i	0.594152	−	0.745043i
$560$	−4351.66	−	2095.65i	−0.328377	−	0.158138i
$561$	−3516.68	+	4409.78i	−0.264660	+	0.331874i
$562$	−117.142	−	56.4127i	−0.00879244	−	0.00423421i
$563$	23291.0	+	11216.3i	1.74351	+	0.839631i	0.981347	+	0.192247i	$0.0615773\pi$
$563$	23291.0	+	11216.3i	1.74351	+	0.839631i	0.762164	+	0.647384i	$0.224137\pi$
$564$	−1880.32	+	8238.21i	−0.140382	+	0.615055i
$565$	−7552.45	+	9470.47i	−0.562361	+	0.705179i
$566$	−684.500	−	2998.99i	−0.0508334	−	0.222716i
$567$	3685.82	+	4621.87i	0.272998	+	0.342329i
$568$	22286.7	+	10732.7i	1.64635	+	0.792841i
$569$	7524.37	+	9435.26i	0.554373	+	0.695161i	0.977506	−	0.210906i	$-0.0676413\pi$
$569$	7524.37	+	9435.26i	0.554373	+	0.695161i	−0.423134	+	0.906067i	$0.639070\pi$
$570$	30518.5	−	38269.0i	2.24260	−	2.81213i
$571$	5614.11			0.411459			0.205730	−	0.978609i	$-0.434043\pi$
$571$	5614.11			0.411459			0.205730	+	0.978609i	$0.434043\pi$
$572$	1269.97			0.0928326
$573$	−22792.4	+	10976.3i	−1.66172	+	0.800244i
$574$	−2611.97	+	3275.30i	−0.189933	+	0.238168i
$575$	−8276.73	+	36262.7i	−0.600285	+	2.63002i
$576$	−2723.60	+	11932.9i	−0.197020	+	0.863199i
$577$	956.905			0.0690407			0.0345204	−	0.999404i	$-0.489010\pi$
$577$	956.905			0.0690407			0.0345204	+	0.999404i	$0.489010\pi$
$578$	−24.5975	+	107.769i	−0.00177011	+	0.00775535i
$579$	460.075	+	221.560i	0.0330226	+	0.0159028i
$580$	3793.12	+	1826.67i	0.271553	+	0.130773i
$581$	2220.45	−	1069.31i	0.158554	−	0.0763556i
$582$	−435.150	+	545.661i	−0.0309923	+	0.0388632i
$583$	−1760.20	−	7711.93i	−0.125043	−	0.547848i
$584$	17393.0	−	8376.05i	1.23241	−	0.593499i
$585$	17793.3			1.25754
$586$	−5460.45	+	6847.19i	−0.384930	+	0.482687i
$587$	9758.52	+	12236.8i	0.686163	+	0.860421i	0.995906	−	0.0903997i	$-0.0288145\pi$
$587$	9758.52	+	12236.8i	0.686163	+	0.860421i	−0.309743	+	0.950820i	$0.600243\pi$
$588$	−4895.20	+	2357.40i	−0.343324	+	0.165336i
$589$	19979.0	+	9621.39i	1.39766	+	0.673078i
$590$	−3491.44			−0.243628
$591$	−6504.08	−	18275.4i	−0.452694	−	1.27200i
$592$	−4498.94			−0.312340
$593$	−10889.5	−	5244.09i	−0.754093	−	0.363152i	0.0170162	−	0.999855i	$-0.494583\pi$
$593$	−10889.5	−	5244.09i	−0.754093	−	0.363152i	−0.771109	+	0.636703i	$0.780298\pi$
$594$	−798.389	+	384.484i	−0.0551487	+	0.0265582i
$595$	−5915.33	−	7417.59i	−0.407571	−	0.511078i
$596$	−5470.15	+	6859.35i	−0.375950	+	0.471426i
$597$	33901.1			2.32409
$598$	−13757.7	+	6625.34i	−0.940790	+	0.453061i
$599$	2295.83	+	10058.7i	0.156603	+	0.686122i	0.990877	+	0.134772i	$0.0430302\pi$
$599$	2295.83	+	10058.7i	0.156603	+	0.686122i	−0.834274	+	0.551351i	$0.814113\pi$
$600$	−25559.4	+	32050.5i	−1.73910	+	2.18076i
$601$	8066.98	−	3884.85i	0.547519	−	0.263671i	−0.139610	−	0.990207i	$-0.544585\pi$
$601$	8066.98	−	3884.85i	0.547519	−	0.263671i	0.687129	+	0.726535i	$0.258871\pi$
$602$	4417.22	+	2127.22i	0.299057	+	0.144018i
$603$	−2603.31	−	1253.69i	−0.175812	−	0.0846667i
$604$	−146.820	+	643.259i	−0.00989074	+	0.0433342i
$605$	−22851.6			−1.53562
$606$	−171.940	+	753.319i	−0.0115257	+	0.0504975i
$607$	330.474	−	1447.90i	0.0220980	−	0.0968178i	−0.962676	−	0.270655i	$-0.912760\pi$
$607$	330.474	−	1447.90i	0.0220980	−	0.0968178i	0.984774	+	0.173838i	$0.0556168\pi$
$608$	11267.5	−	14129.0i	0.751576	−	0.942446i
$609$	3742.89	−	1802.48i	0.249047	−	0.119935i
$610$	24288.1			1.61213
$611$	−19168.5			−1.26919
$612$	−2579.82	+	3234.99i	−0.170397	+	0.213671i
$613$	10793.3	+	13534.4i	0.711154	+	0.891759i	0.997801	−	0.0662772i	$-0.0211122\pi$
$613$	10793.3	+	13534.4i	0.711154	+	0.891759i	−0.286647	+	0.958036i	$0.592541\pi$
$614$	10254.6	+	4938.34i	0.674007	+	0.324585i
$615$	21291.1	+	26698.2i	1.39600	+	1.75053i
$616$	442.850	+	1940.25i	0.0289658	+	0.126907i
$617$	2776.67	−	3481.84i	0.181174	−	0.227185i	−0.682948	−	0.730467i	$-0.739303\pi$
$617$	2776.67	−	3481.84i	0.181174	−	0.227185i	0.864123	+	0.503281i	$0.167874\pi$
$618$	−3478.38	+	15239.8i	−0.226409	+	0.991965i
$619$	4746.74	+	2285.91i	0.308219	+	0.148430i	0.581599	−	0.813476i	$-0.302427\pi$
$619$	4746.74	+	2285.91i	0.308219	+	0.148430i	−0.273380	+	0.961906i	$0.588142\pi$
$620$	−6346.76	−	3056.44i	−0.411116	−	0.197983i
$621$	−3279.49	+	4112.35i	−0.211919	+	0.265737i
$622$	18754.8	+	9031.83i	1.20900	+	0.582224i
$623$	1722.37	−	2159.79i	0.110763	−	0.138893i
$624$	−10585.1			−0.679075
$625$	−9903.66	+	4769.35i	−0.633834	+	0.305238i
$626$	3722.05	−	16307.4i	0.237641	−	1.04117i
$627$	−12685.3			−0.807978
$628$	402.127	+	1761.83i	0.0255519	+	0.111950i
$629$	−7962.04	−	3834.32i	−0.504718	−	0.243059i
$630$	1541.28	+	6752.78i	0.0974699	+	0.427043i
$631$	14397.2	+	6933.34i	0.908311	+	0.437420i	0.828884	−	0.559421i	$-0.188976\pi$
$631$	14397.2	+	6933.34i	0.908311	+	0.437420i	0.0794277	+	0.996841i	$0.474691\pi$
$632$	1539.12	−	1929.99i	0.0968715	−	0.121473i
$633$	20928.6	−	10078.7i	1.31412	−	0.632846i
$634$	−5588.65	−	2691.35i	−0.350084	−	0.168592i
$635$	−9134.45	−	40020.7i	−0.570850	−	2.50106i
$636$	−2860.42	−	12532.3i	−0.178338	−	0.781350i
$637$	−7684.53	−	9636.09i	−0.477978	−	0.599366i
$638$	491.804	+	2154.73i	0.0305183	+	0.133710i
$639$	−4964.75	−	21752.0i	−0.307359	−	1.34663i
$640$	4298.12	−	5389.67i	0.265466	−	0.332884i
$641$	−5348.19	+	23432.0i	−0.329549	+	1.44385i	0.490443	+	0.871473i	$0.336835\pi$
$641$	−5348.19	+	23432.0i	−0.329549	+	1.44385i	−0.819992	+	0.572375i	$0.806022\pi$
$642$	582.006	−	2549.94i	0.0357787	−	0.156757i
$643$	2113.10	−	1017.62i	0.129600	−	0.0624120i	−0.367960	−	0.929842i	$-0.619944\pi$
$643$	2113.10	−	1017.62i	0.129600	−	0.0624120i	0.497560	+	0.867430i	$0.334229\pi$
$644$	1829.57	+	2294.21i	0.111949	+	0.140380i
$645$	24917.2	−	31245.2i	1.52111	−	1.90741i
$646$	−23263.4	+	11203.1i	−1.41685	+	0.682321i
$647$	−16637.0	−	20862.2i	−1.01093	−	1.26766i	−0.963196	−	0.268802i	$-0.913372\pi$
$647$	−16637.0	−	20862.2i	−1.01093	−	1.26766i	−0.0477309	−	0.998860i	$-0.515199\pi$
$648$	−18537.2	+	8927.05i	−1.12378	+	0.541185i
$649$	564.158	+	707.432i	0.0341219	+	0.0427876i
$650$	−20812.4	−	10022.7i	−1.25589	−	0.604804i
$651$	−6262.72	+	3015.97i	−0.377044	+	0.181575i
$652$	2618.91	+	1261.20i	0.157307	+	0.0757551i
$653$	−16389.1	−	20551.3i	−0.982166	−	1.23160i	−0.972801	−	0.231641i	$-0.925591\pi$
$653$	−16389.1	−	20551.3i	−0.982166	−	1.23160i	−0.00936429	−	0.999956i	$-0.502981\pi$
$654$	−813.043	+	3562.18i	−0.0486124	+	0.212985i
$655$	38729.2	−	18651.0i	2.31034	−	1.11260i
$656$	−5717.73	−	7169.81i	−0.340305	−	0.426729i
$657$	−15688.0	−	7554.93i	−0.931577	−	0.448624i
$658$	−1660.40	−	7274.67i	−0.0983723	−	0.430997i
$659$	8976.75			0.530629			0.265314	−	0.964162i	$-0.414524\pi$
$659$	8976.75			0.530629			0.265314	+	0.964162i	$0.414524\pi$
$660$	4029.75			0.237664
$661$	10104.7	−	12670.9i	0.594593	−	0.745596i	−0.389931	−	0.920844i	$-0.627501\pi$
$661$	10104.7	−	12670.9i	0.594593	−	0.745596i	0.984524	+	0.175248i	$0.0560727\pi$
$662$	8129.80	−	10194.5i	0.477302	−	0.598518i
$663$	−18733.1	−	9021.38i	−1.09733	−	0.528448i
$664$	1908.68	+	8362.45i	0.111553	+	0.488744i
$665$	4748.08	−	20802.7i	0.276876	−	1.21307i
$666$	4022.58	+	5044.15i	0.234042	+	0.293479i
$667$	8179.42	+	10256.7i	0.474825	+	0.595412i
$668$	5084.12			0.294477
$669$	4657.78	−	20407.1i	0.269178	−	1.17935i
$670$	3571.31	+	4478.27i	0.205928	+	0.258225i
$671$	−3924.55	−	4921.23i	−0.225791	−	0.283133i
$672$	1260.55	+	5522.81i	0.0723610	+	0.317034i
$673$	10294.6	−	4957.62i	0.589640	−	0.283956i	−0.115177	−	0.993345i	$-0.536743\pi$
$673$	10294.6	−	4957.62i	0.589640	−	0.283956i	0.704817	+	0.709389i	$0.251029\pi$
$674$	162.808			0.00930433
$675$	−7957.08			−0.453731
$676$	−250.873	−	1099.15i	−0.0142736	−	0.0625368i
$677$	7789.36	+	9767.55i	0.442200	+	0.554502i	0.952122	−	0.305719i	$-0.0988970\pi$
$677$	7789.36	+	9767.55i	0.442200	+	0.554502i	−0.509921	+	0.860221i	$0.670326\pi$
$678$	−10333.8			−0.585352
$679$	−67.7007	+	296.616i	−0.00382638	+	0.0167645i
$680$	29750.2	−	14326.9i	1.67774	−	0.807959i
$681$	−1512.65	+	6627.37i	−0.0851176	+	0.372924i
$682$	−822.901	−	3605.37i	−0.0462031	−	0.202429i
$683$	2673.97	+	11715.4i	0.149805	+	0.656337i	0.992938	+	0.118633i	$0.0378512\pi$
$683$	2673.97	+	11715.4i	0.149805	+	0.656337i	−0.843134	+	0.537704i	$0.819292\pi$
$684$	−9305.86			−0.520202
$685$	1580.83	−	6926.06i	0.0881757	−	0.386323i
$686$	6494.35	−	8143.66i	0.361451	−	0.453245i
$687$	−4106.03	+	17989.7i	−0.228027	+	0.999053i
$688$	−6691.52	+	8390.90i	−0.370802	+	0.464971i
$689$	26272.2	−	12652.0i	1.45267	−	0.699569i
$690$	−43654.4	+	21022.9i	−2.40855	+	1.15989i
$691$	−17975.1	+	22540.0i	−0.989586	+	1.24090i	−0.0190820	+	0.999818i	$0.506074\pi$
$691$	−17975.1	+	22540.0i	−0.989586	+	1.24090i	−0.970504	+	0.241084i	$0.922497\pi$
$692$	1444.66	−	6329.46i	0.0793607	−	0.347702i
$693$	1119.20	−	1403.43i	0.0613488	−	0.0769290i
$694$	−572.156	+	2506.78i	−0.0312950	+	0.137112i
$695$	18504.9			1.00997
$696$	3217.35	+	14096.1i	0.175220	+	0.767690i
$697$	−4008.39	−	17561.9i	−0.217831	−	0.954382i
$698$	3448.72	−	15109.8i	0.187015	−	0.819364i
$699$	40164.2	−	19342.1i	2.17332	−	1.04662i
$700$	−987.797	+	4327.82i	−0.0533360	+	0.233680i
$701$	−23136.2			−1.24657			−0.623284	−	0.781996i	$-0.714202\pi$
$701$	−23136.2			−1.24657			−0.623284	+	0.781996i	$0.714202\pi$
$702$	−2036.71	−	2553.96i	−0.109503	−	0.137312i
$703$	−4422.65	−	19376.9i	−0.237274	−	1.03956i
$704$	−6288.12			−0.336637
$705$	−60823.5			−3.24928
$706$	−23643.8	+	11386.3i	−1.26041	+	0.606980i
$707$	74.9532	+	328.391i	0.00398713	+	0.0174688i
$708$	916.789	+	1149.62i	0.0486653	+	0.0610244i
$709$	10805.2	+	13549.3i	0.572352	+	0.717707i	0.980787	−	0.195081i	$-0.0624969\pi$
$709$	10805.2	+	13549.3i	0.572352	+	0.717707i	−0.408435	+	0.912787i	$0.633925\pi$
$710$	−9841.91	+	43120.2i	−0.520226	+	2.27926i
$711$	−2226.56			−0.117444
$712$	5994.56	+	7516.94i	0.315527	+	0.395659i
$713$	−13686.1	−	17161.8i	−0.718860	−	0.901422i
$714$	1801.04	−	7890.88i	0.0944010	−	0.413598i
$715$	2034.12	+	8912.06i	0.106394	+	0.466143i
$716$	−8883.05	−	4277.85i	−0.463652	−	0.223283i
$717$	1275.51	−	1599.43i	0.0664360	−	0.0833081i
$718$	1149.35	−	1441.23i	0.0597399	−	0.0749114i
$719$	33252.2			1.72475			0.862377	−	0.506266i	$-0.168975\pi$
$719$	33252.2			1.72475			0.862377	+	0.506266i	$0.168975\pi$
$720$	−15162.3			−0.784815
$721$	1516.32	+	6643.42i	0.0783226	+	0.343154i
$722$	−38018.6	−	18308.8i	−1.95970	−	0.943744i
$723$	13502.4	+	16931.5i	0.694551	+	0.870939i
$724$	−1385.51	+	667.227i	−0.0711218	+	0.0342504i
$725$	−4416.12	+	19348.3i	−0.226221	+	0.991141i
$726$	−12154.8	−	15241.7i	−0.621360	−	0.779161i
$727$	9160.50	+	4411.46i	0.467323	+	0.225051i	0.652700	−	0.757616i	$-0.273636\pi$
$727$	9160.50	+	4411.46i	0.467323	+	0.225051i	−0.185377	+	0.982668i	$0.559350\pi$
$728$	−6609.84	+	3183.13i	−0.336507	+	0.162053i
$729$	10995.2	+	5295.00i	0.558613	+	0.269014i
$730$	21521.3	+	26986.9i	1.09115	+	1.36826i
$731$	−18993.7	+	9146.88i	−0.961022	+	0.462804i
$732$	−6377.62	−	7997.29i	−0.322027	−	0.403809i
$733$	23735.8	−	11430.6i	1.19605	−	0.575986i	0.273501	−	0.961872i	$-0.411818\pi$
$733$	23735.8	−	11430.6i	1.19605	−	0.575986i	0.922547	+	0.385885i	$0.126104\pi$
$734$	8199.61	−	10282.0i	0.412334	−	0.517050i
$735$	−24383.8	−	30576.3i	−1.22369	−	1.53445i
$736$	−16117.3	+	7761.69i	−0.807191	+	0.388723i
$737$	330.320	−	1447.23i	0.0165095	−	0.0723328i
$738$	−2926.38	+	12821.3i	−0.145964	+	0.639510i
$739$	13275.7	−	16647.1i	0.660829	−	0.828654i	−0.332604	−	0.943067i	$-0.607927\pi$
$739$	13275.7	−	16647.1i	0.660829	−	0.828654i	0.993433	+	0.114413i	$0.0364987\pi$
$740$	1404.95	+	6155.48i	0.0697931	+	0.305784i
$741$	−10405.6	−	45589.9i	−0.515870	−	2.26017i
$742$	7077.32	+	8874.68i	0.350157	+	0.439083i
$743$	1340.20	+	5871.79i	0.0661737	+	0.289926i	0.997177	−	0.0750844i	$-0.0239226\pi$
$743$	1340.20	+	5871.79i	0.0661737	+	0.289926i	−0.931003	+	0.365010i	$0.881065\pi$
$744$	−5383.37	−	23586.1i	−0.265274	−	1.16224i
$745$	−56897.2	−	27400.2i	−2.79806	−	1.34747i
$746$	11282.8	−	5433.52i	0.553745	−	0.266669i
$747$	4823.72	−	6048.75i	0.236266	−	0.296268i
$748$	−1915.22	−	922.320i	−0.0936193	−	0.0450847i
$749$	−253.712	−	1111.58i	−0.0123771	−	0.0542274i
$750$	−31239.4	−	15044.1i	−1.52094	−	0.732445i
$751$	3975.56	+	17418.1i	0.193169	+	0.846330i	0.974887	+	0.222698i	$0.0714865\pi$
$751$	3975.56	+	17418.1i	0.193169	+	0.846330i	−0.781718	+	0.623632i	$0.785656\pi$
$752$	16334.2			0.792082
$753$	−6618.81	+	28998.9i	−0.320322	+	1.40342i
$754$	−7340.51	+	3535.00i	−0.354543	+	0.170739i
$755$	−4749.24			−0.228931
$756$	−391.395	+	490.794i	−0.0188292	+	0.0236111i
$757$	−16111.3	−	7758.81i	−0.773549	−	0.372522i	0.00509537	−	0.999987i	$-0.498378\pi$
$757$	−16111.3	−	7758.81i	−0.773549	−	0.372522i	−0.778644	+	0.627465i	$0.784092\pi$
$758$	10564.9	−	13248.0i	0.506246	−	0.634813i
$759$	11313.4	+	5448.27i	0.541044	+	0.260553i
$760$	66909.3	+	32221.8i	3.19349	+	1.53790i
$761$	1776.81	−	7784.72i	0.0846378	−	0.370822i	−0.914816	−	0.403871i	$-0.867664\pi$
$761$	1776.81	−	7784.72i	0.0846378	−	0.370822i	0.999454	+	0.0330487i	$0.0105216\pi$
$762$	21834.5	−	27379.6i	1.03803	−	1.30165i
$763$	354.427	+	1552.84i	0.0168166	+	0.0736785i
$764$	−5944.49	−	7454.16i	−0.281498	−	0.352987i
$765$	−26833.7	−	12922.4i	−1.26820	−	0.610734i
$766$	−8110.56	−	10170.3i	−0.382567	−	0.479724i
$767$	−2079.68	+	2607.84i	−0.0979047	+	0.122769i
$768$	−25036.9			−1.17636
$769$	−37973.7			−1.78071			−0.890356	−	0.455265i	$-0.849545\pi$
$769$	−37973.7			−1.78071			−0.890356	+	0.455265i	$0.849545\pi$
$770$	−3206.04	+	1543.95i	−0.150049	+	0.0722597i
$771$	−30556.4	+	38316.5i	−1.42732	+	1.78980i
$772$	−42.8247	+	187.627i	−0.00199649	+	0.00874721i
$773$	−1583.99	+	6939.93i	−0.0737028	+	0.322913i	−0.998317	−	0.0579917i	$-0.981530\pi$
$773$	−1583.99	+	6939.93i	−0.0737028	+	0.322913i	0.924614	+	0.380905i	$0.124387\pi$
$774$	15390.8			0.714741
$775$	7389.19	−	32374.1i	0.342487	−	1.50053i
$776$	−954.029	−	459.436i	−0.0441336	−	0.0212536i
$777$	5613.20	+	2703.17i	0.259166	+	0.124808i
$778$	12455.8	−	5998.40i	0.573987	−	0.276418i
$779$	25259.5	−	31674.4i	1.16177	−	1.45681i
$780$	3305.56	+	14482.6i	0.151741	+	0.664821i
$781$	10327.3	−	4973.34i	0.473160	−	0.227862i
$782$	25559.3			1.16879
$783$	−1749.80	+	2194.18i	−0.0798630	+	0.100145i
$784$	6548.27	+	8211.27i	0.298299	+	0.374056i
$785$	−11719.6	+	5643.86i	−0.532854	+	0.256609i
$786$	33040.1	+	15911.3i	1.49937	+	0.722057i
$787$	25340.0			1.14774			0.573871	−	0.818945i	$-0.305441\pi$
$787$	25340.0			1.14774			0.573871	+	0.818945i	$0.305441\pi$
$788$	6169.52	−	3922.46i	0.278909	−	0.177325i
$789$	10663.9			0.481171
$790$	3976.72	+	1915.09i	0.179096	+	0.0862479i
$791$	−4058.67	+	1954.55i	−0.182440	+	0.0878583i
$792$	3895.25	+	4884.49i	0.174762	+	0.219145i
$793$	14467.2	−	18141.4i	0.647852	−	0.812381i
$794$	−22991.5			−1.02763
$795$	83364.3	−	40146.1i	3.71903	−	1.79099i
$796$	2843.08	+	12456.4i	0.126596	+	0.554653i
$797$	20449.5	−	25642.9i	0.908857	−	1.13967i	−0.0808729	−	0.996724i	$-0.525771\pi$
$797$	20449.5	−	25642.9i	0.908857	−	1.13967i	0.989730	−	0.142947i	$-0.0456578\pi$
$798$	16400.6	−	7898.11i	0.727537	−	0.350363i
$799$	28907.5	+	13921.1i	1.27994	+	0.616388i
$800$	−24382.0	−	11741.8i	−1.07754	−	0.518918i
$801$	1929.70	−	8454.57i	0.0851219	−	0.372943i
$802$	1962.25			0.0863958
$803$	1990.57	−	8721.24i	0.0874789	−	0.383270i
$804$	536.789	−	2351.83i	0.0235461	−	0.103162i
$805$	−13169.2	+	16513.7i	−0.576590	+	0.723020i
$806$	12282.4	−	5914.88i	0.536759	−	0.258490i
$807$	−61893.2			−2.69980
$808$	−1172.33			−0.0510425
$809$	8144.27	−	10212.6i	0.353940	−	0.443826i	−0.572707	−	0.819760i	$-0.694107\pi$
$809$	8144.27	−	10212.6i	0.353940	−	0.443826i	0.926646	+	0.375934i	$0.122678\pi$
$810$	−22937.0	−	28762.1i	−0.994969	−	1.24765i
$811$	−21973.8	−	10582.0i	−0.951424	−	0.458182i	−0.107239	−	0.994233i	$-0.534201\pi$
$811$	−21973.8	−	10582.0i	−0.951424	−	0.458182i	−0.844185	+	0.536052i	$0.819915\pi$
$812$	976.183	+	1224.10i	0.0421888	+	0.0529031i
$813$	10434.7	+	45717.4i	0.450137	+	1.97218i
$814$	−2066.58	+	2591.41i	−0.0889849	+	0.111584i
$815$	−4655.77	+	20398.3i	−0.200104	+	0.876712i
$816$	15963.1	+	7687.45i	0.684831	+	0.329797i
$817$	−42717.6	−	20571.7i	−1.82925	−	0.880921i
$818$	−16599.4	+	20815.0i	−0.709517	+	0.889706i
$819$	5961.87	+	2871.08i	0.254364	+	0.122495i
$820$	−8024.22	+	10062.1i	−0.341729	+	0.428515i
$821$	−2716.82			−0.115491			−0.0577453	−	0.998331i	$-0.518391\pi$
$821$	−2716.82			−0.115491			−0.0577453	+	0.998331i	$0.518391\pi$
$822$	5460.43	−	2629.60i	0.231696	−	0.111579i
$823$	−4769.97	+	20898.6i	−0.202030	+	0.885151i	0.767669	+	0.640847i	$0.221417\pi$
$823$	−4769.97	+	20898.6i	−0.202030	+	0.885151i	−0.969699	+	0.244304i	$0.921440\pi$
$824$	−23716.4			−1.00267
$825$	4227.01	+	18519.7i	0.178382	+	0.781544i
$826$	−1169.85	−	563.370i	−0.0492788	−	0.0237314i
$827$	542.694	+	2377.70i	0.0228190	+	0.0999766i	0.985055	−	0.172240i	$-0.0551004\pi$
$827$	542.694	+	2377.70i	0.0228190	+	0.0999766i	−0.962236	+	0.272217i	$0.912243\pi$
$828$	8299.48	+	3996.82i	0.348341	+	0.167752i
$829$	11625.4	−	14577.7i	0.487051	−	0.610742i	−0.476203	−	0.879335i	$-0.657987\pi$
$829$	11625.4	−	14577.7i	0.487051	−	0.610742i	0.963254	+	0.268593i	$0.0865586\pi$
$830$	−13818.0	+	6654.39i	−0.577866	+	0.278286i
$831$	−27841.0	−	13407.5i	−1.16221	−	0.559689i
$832$	−5158.07	−	22599.0i	−0.214933	−	0.941682i
$833$	4590.63	+	20112.9i	0.190944	+	0.836578i
$834$	9842.79	+	12342.5i	0.408667	+	0.512452i
$835$	8143.25	+	35677.9i	0.337495	+	1.47866i
$836$	−1063.84	−	4660.98i	−0.0440115	−	0.192827i
$837$	2927.82	−	3671.37i	0.120908	−	0.151614i
$838$	2543.03	−	11141.7i	0.104830	−	0.459290i
$839$	−5218.53	+	22863.9i	−0.214736	+	0.940820i	0.746563	+	0.665314i	$0.231702\pi$
$839$	−5218.53	+	22863.9i	−0.214736	+	0.940820i	−0.961299	+	0.275506i	$0.911155\pi$
$840$	−20973.7	+	10100.4i	−0.861502	+	0.414877i
$841$	−10842.1	−	13595.6i	−0.444549	−	0.557446i
$842$	12556.2	−	15744.9i	0.513912	−	0.644425i
$843$	−355.107	+	171.011i	−0.0145084	+	0.00698686i
$844$	5458.39	+	6844.60i	0.222613	+	0.279148i
$845$	7311.46	−	3521.02i	0.297659	−	0.143345i
$846$	−14604.6	−	18313.6i	−0.593520	−	0.744251i
$847$	−7656.70	−	3687.27i	−0.310611	−	0.149582i
$848$	−22387.5	+	10781.2i	−0.906591	+	0.436591i
$849$	−8401.53	−	4045.96i	−0.339623	−	0.163554i
$850$	24107.6	+	30230.0i	0.972806	+	1.21986i
$851$	−4377.91	+	19180.9i	−0.176349	+	0.772635i
$852$	16782.4	−	8081.96i	0.674829	−	0.324981i
$853$	1669.17	+	2093.07i	0.0670002	+	0.0840156i	0.814202	−	0.580581i	$-0.197175\pi$
$853$	1669.17	+	2093.07i	0.0670002	+	0.0840156i	−0.747202	+	0.664597i	$0.768603\pi$
$854$	8138.04	+	3919.07i	0.326087	+	0.157035i
$855$	−14905.2	−	65304.0i	−0.596196	−	2.61211i
$856$	3968.25			0.158449
$857$	−15424.0			−0.614788			−0.307394	−	0.951582i	$-0.599457\pi$
$857$	−15424.0			−0.614788			−0.307394	+	0.951582i	$0.599457\pi$
$858$	−4862.26	+	6097.08i	−0.193467	+	0.242600i
$859$	−9454.29	+	11855.3i	−0.375525	+	0.470894i	−0.933300	−	0.359099i	$-0.883084\pi$
$859$	−9454.29	+	11855.3i	−0.375525	+	0.470894i	0.557774	+	0.829993i	$0.311656\pi$
$860$	13570.1	+	6535.03i	0.538067	+	0.259120i
$861$	2825.89	+	12381.0i	0.111854	+	0.490064i
$862$	−5214.88	+	22847.9i	−0.206055	+	0.902786i
$863$	2854.73	+	3579.72i	0.112603	+	0.141199i	0.834939	−	0.550343i	$-0.185503\pi$
$863$	2854.73	+	3579.72i	0.112603	+	0.141199i	−0.722336	+	0.691542i	$0.756932\pi$
$864$	−2386.04	−	2992.00i	−0.0939524	−	0.117813i
$865$	46731.0			1.83688
$866$	−4475.63	+	19609.0i	−0.175621	+	0.769448i
$867$	208.928	+	261.987i	0.00818403	+	0.0102625i
$868$	−1633.38	−	2048.19i	−0.0638716	−	0.0800924i
$869$	−254.538	−	1115.21i	−0.00993627	−	0.0435337i
$870$	−23292.2	+	11216.9i	−0.907677	+	0.437114i
$871$	5472.17			0.212879
$872$	−5543.51			−0.215283
$873$	212.527	+	931.141i	0.00823934	+	0.0360989i
$874$	35840.6	+	44942.6i	1.38710	+	1.73937i
$875$	−15114.9			−0.583975
$876$	3234.78	−	14172.5i	0.124764	−	0.546626i
$877$	12756.2	−	6143.06i	0.491159	−	0.236530i	−0.171875	−	0.985119i	$-0.554983\pi$
$877$	12756.2	−	6143.06i	0.491159	−	0.236530i	0.663034	+	0.748589i	$0.269268\pi$
$878$	−3664.37	+	16054.7i	−0.140850	+	0.617106i
$879$	5907.67	+	25883.2i	0.226690	+	0.993195i
$880$	−1733.35	−	7594.29i	−0.0663990	−	0.290913i
$881$	34557.5			1.32153			0.660767	−	0.750591i	$-0.270231\pi$
$881$	34557.5			1.32153			0.660767	+	0.750591i	$0.270231\pi$
$882$	3351.45	−	14683.7i	0.127947	−	0.560572i
$883$	−7404.06	+	9284.39i	−0.282182	+	0.353844i	−0.902641	−	0.430394i	$-0.858375\pi$
$883$	−7404.06	+	9284.39i	−0.282182	+	0.353844i	0.620460	+	0.784238i	$0.286946\pi$
$884$	1743.71	−	7639.70i	0.0663432	−	0.290668i
$885$	−6599.04	+	8274.93i	−0.250649	+	0.314304i
$886$	−3155.40	+	1519.56i	−0.119647	+	0.0576192i
$887$	36823.5	−	17733.3i	1.39393	−	0.671279i	0.422006	−	0.906593i	$-0.361326\pi$
$887$	36823.5	−	17733.3i	1.39393	−	0.671279i	0.971919	+	0.235314i	$0.0756119\pi$
$888$	−13519.5	+	16952.9i	−0.510905	+	0.640654i
$889$	3397.02	−	14883.3i	0.128158	−	0.561497i
$890$	−10718.4	+	13440.5i	−0.403688	+	0.506208i
$891$	−2121.51	+	9294.95i	−0.0797680	+	0.349486i
$892$	7888.83			0.296118
$893$	16057.2	+	70351.1i	0.601716	+	2.63629i
$894$	−11988.2	−	52523.8i	−0.448486	−	1.96494i
$895$	15791.9	−	69188.8i	0.589793	−	2.58405i
$896$	2309.80	−	1112.34i	0.0861217	−	0.0414740i
$897$	−10300.3	+	45128.7i	−0.383410	+	1.67983i
$898$	18987.2			0.705581
$899$	−7302.31	−	9156.81i	−0.270907	−	0.339707i
$900$	3100.91	+	13586.0i	0.114848	+	0.503184i
$901$	−48809.0			−1.80473
$902$	−6756.28			−0.249401
$903$	13390.5	−	6448.50i	0.493473	−	0.237644i
$904$	−3488.79	−	15285.4i	−0.128358	−	0.562372i
$905$	−6901.46	−	8654.16i	−0.253494	−	0.317872i
$906$	−2526.14	−	3167.67i	−0.0926327	−	0.116158i
$907$	−11173.2	+	48953.0i	−0.409041	+	1.79213i	0.179609	+	0.983738i	$0.442517\pi$
$907$	−11173.2	+	48953.0i	−0.409041	+	1.79213i	−0.588650	+	0.808388i	$0.700340\pi$
$908$	−2561.97			−0.0936364
$909$	659.279	+	826.710i	0.0240560	+	0.0301653i
$910$	−8178.69	−	10255.8i	−0.297935	−	0.373599i
$911$	8729.07	−	38244.6i	0.317461	−	1.39089i	−0.524528	−	0.851393i	$-0.675758\pi$
$911$	8729.07	−	38244.6i	0.317461	−	1.39089i	0.841989	−	0.539495i	$-0.181385\pi$
$912$	8867.00	+	38848.8i	0.321947	+	1.41054i
$913$	3581.05	+	1724.54i	0.129809	+	0.0625127i
$914$	−4211.15	+	5280.61i	−0.152399	+	0.191102i
$915$	45906.0	−	57564.4i	1.65859	−	2.07980i
$916$	−6954.33			−0.250849
$917$	15986.2			0.575692
$918$	1216.70	+	5330.73i	0.0437442	+	0.191656i
$919$	−19120.5	−	9207.93i	−0.686317	−	0.330513i	0.0580212	−	0.998315i	$-0.481521\pi$
$919$	−19120.5	−	9207.93i	−0.686317	−	0.330513i	−0.744339	+	0.667802i	$0.767235\pi$
$920$	−45834.3	−	57474.3i	−1.64251	−	2.05964i
$921$	31085.9	−	14970.2i	1.11218	−	0.535596i
$922$	1934.28	−	8474.65i	0.0690914	−	0.302709i
$923$	26345.1	+	33035.7i	0.939501	+	1.17810i
$924$	1350.22	+	650.231i	0.0480724	+	0.0231504i
$925$	−26815.3	+	12913.6i	−0.953169	+	0.459022i
$926$	20387.5	+	9818.09i	0.723514	+	0.348426i
$927$	13337.3	+	16724.5i	0.472552	+	0.592561i
$928$	−8599.53	+	4141.32i	−0.304196	+	0.146493i
$929$	−17236.4	−	21613.8i	−0.608727	−	0.763320i	0.377982	−	0.925813i	$-0.376618\pi$
$929$	−17236.4	−	21613.8i	−0.608727	−	0.763320i	−0.986710	+	0.162493i	$0.948047\pi$
$930$	38973.2	−	18768.5i	1.37417	−	0.661767i
$931$	−28928.6	+	36275.4i	−1.01836	+	1.27699i
$932$	10475.2	+	13135.5i	0.368162	+	0.461661i
$933$	56853.7	−	27379.3i	1.99497	−	0.960726i
$934$	1264.92	−	5542.00i	0.0443143	−	0.194154i
$935$	3404.79	−	14917.4i	0.119089	−	0.521764i
$936$	−14359.2	+	18005.9i	−0.501438	+	0.628784i
$937$	6183.11	+	27090.0i	0.215574	+	0.944494i	0.960704	+	0.277574i	$0.0895304\pi$
$937$	6183.11	+	27090.0i	0.215574	+	0.944494i	−0.745130	+	0.666920i	$0.767612\pi$
$938$	474.006	+	2076.76i	0.0164998	+	0.0722905i
$939$	−31614.6	−	39643.4i	−1.09872	−	1.37776i
$940$	−5100.90	−	22348.5i	−0.176993	−	0.775455i
$941$	12719.2	+	55726.4i	0.440631	+	1.93053i	0.357234	+	0.934015i	$0.383720\pi$
$941$	12719.2	+	55726.4i	0.440631	+	1.93053i	0.0833973	+	0.996516i	$0.473423\pi$
$942$	−9998.06	−	4814.81i	−0.345812	−	0.166534i
$943$	−36131.8	+	17400.2i	−1.24774	+	0.600878i
$944$	1772.17	−	2222.23i	0.0611009	−	0.0766181i
$945$	−4071.05	−	1960.52i	−0.140139	−	0.0674874i
$946$	1759.46	+	7708.70i	0.0604704	+	0.264938i
$947$	−11418.5	−	5498.87i	−0.391819	−	0.188690i	0.227593	−	0.973756i	$-0.426914\pi$
$947$	−11418.5	−	5498.87i	−0.391819	−	0.188690i	−0.619412	+	0.785066i	$0.712629\pi$
$948$	−413.639	−	1812.27i	−0.0141713	−	0.0620884i
$949$	32976.3			1.12798
$950$	−19350.5	+	84780.2i	−0.660857	+	2.89540i
$951$	−16941.5	+	8158.61i	−0.577673	+	0.278193i
$952$	12279.9			0.418061
$953$	−3177.43	+	3984.37i	−0.108003	+	0.135432i	−0.832895	−	0.553431i	$-0.813318\pi$
$953$	−3177.43	+	3984.37i	−0.108003	+	0.135432i	0.724892	+	0.688863i	$0.241890\pi$
$954$	32104.8	+	15460.9i	1.08955	+	0.524700i
$955$	42788.4	−	53654.9i	1.44984	−	1.81804i
$956$	694.652	+	334.527i	0.0235007	+	0.0113173i
$957$	6036.38	+	2906.97i	0.203896	+	0.0981912i
$958$	6260.84	−	27430.5i	0.211147	−	0.925094i
$959$	1647.25	−	2065.58i	0.0554665	−	0.0695528i
$960$	−16367.1	−	71708.9i	−0.550256	−	2.41083i
$961$	−6355.93	−	7970.09i	−0.213351	−	0.267533i
$962$	−11008.5	−	5301.43i	−0.368949	−	0.177677i
$963$	−2231.62	−	2798.36i	−0.0746758	−	0.0936405i
$964$	−5088.81	+	6381.16i	−0.170020	+	0.213199i
$965$	−1385.27			−0.0462108
$966$	−18019.1			−0.600162
$967$	41693.2	−	20078.4i	1.38652	−	0.667712i	0.416139	−	0.909301i	$-0.363383\pi$
$967$	41693.2	−	20078.4i	1.38652	−	0.667712i	0.970379	+	0.241589i	$0.0776686\pi$
$968$	18441.3	−	23124.6i	0.612319	−	0.767823i
$969$	−17417.3	+	76310.2i	−0.577425	+	2.52986i
$970$	421.304	−	1845.86i	0.0139456	−	0.0610998i
$971$	11199.1			0.370129			0.185065	−	0.982726i	$-0.440751\pi$
$971$	11199.1			0.370129			0.185065	+	0.982726i	$0.440751\pi$
$972$	−2914.70	+	12770.1i	−0.0961822	+	0.421402i
$973$	6200.28	+	2985.90i	0.204288	+	0.0983797i
$974$	41782.9	+	20121.6i	1.37455	+	0.661948i
$975$	−63091.0	+	30383.0i	−2.07234	+	0.997985i
$976$	−12328.1	+	15458.9i	−0.404316	+	0.506996i
$977$	−7645.18	−	33495.7i	−0.250349	−	1.09685i	−0.931223	−	0.364450i	$-0.881257\pi$
$977$	−7645.18	−	33495.7i	−0.250349	−	1.09685i	0.680874	−	0.732400i	$-0.261600\pi$
$978$	−16081.8	+	7744.57i	−0.525806	+	0.253215i
$979$	4455.20			0.145443
$980$	9189.79	−	11523.6i	0.299548	−	0.375621i
$981$	3117.49	+	3909.21i	0.101462	+	0.127229i
$982$	2799.35	−	1348.10i	0.0909684	−	0.0438081i
$983$	39598.9	+	19069.8i	1.28485	+	0.618751i	0.946632	−	0.322317i	$-0.104462\pi$
$983$	39598.9	+	19069.8i	1.28485	+	0.618751i	0.338218	+	0.941068i	$0.390176\pi$
$984$	−44199.2			−1.43193
$985$	37407.7	+	37012.1i	1.21006	+	1.19726i
$986$	13637.4			0.440468
$987$	−20379.7	−	9814.32i	−0.657235	−	0.316508i
$988$	15878.5	−	7646.70i	0.511299	−	0.246229i
$989$	29262.4	+	36693.9i	0.940841	+	1.17978i
$990$	−6964.81	+	8733.59i	−0.223592	+	0.280376i
$991$	35736.6			1.14552			0.572761	−	0.819723i	$-0.305872\pi$
$991$	35736.6			1.14552			0.572761	+	0.819723i	$0.305872\pi$
$992$	14389.0	−	6929.38i	0.460536	−	0.221782i
$993$	−8795.65	−	38536.2i	−0.281089	−	1.23153i
$994$	−10255.4	+	12859.9i	−0.327246	+	0.410353i
$995$	−82859.0	+	39902.8i	−2.64001	+	1.27136i
$996$	5819.42	+	2802.48i	0.185136	+	0.0891567i
$997$	3982.93	+	1918.08i	0.126520	+	0.0609290i	0.496073	−	0.868281i	$-0.334775\pi$
$997$	3982.93	+	1918.08i	0.126520	+	0.0609290i	−0.369553	+	0.929210i	$0.620489\pi$
$998$	−3151.67	+	13808.4i	−0.0999644	+	0.437973i
$999$	−4208.83			−0.133295

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	197.4.d.a.104.16	yes	294
197.36	even	7	inner	197.4.d.a.36.16	✓	294

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
197.4.d.a.36.16	✓	294	197.36	even	7	inner
197.4.d.a.104.16	yes	294	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 197 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	197.d (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.08511 - 1.00413i) q^{2} +(-6.32083 + 3.04395i) q^{3} +(-1.64854 - 2.06720i) q^{4} +(11.8661 - 14.8797i) q^{5} +16.2361 q^{6} +(6.37684 - 3.07092i) q^{7} +(5.48146 + 24.0158i) q^{8} +(13.8531 - 17.3712i) q^{9} +(-39.6833 + 19.1105i) q^{10} +(10.2843 + 4.95266i) q^{11} +(16.7126 + 8.04835i) q^{12} +(-9.36335 + 41.0235i) q^{13} -16.3800 q^{14} +(-29.7109 + 130.172i) q^{15} +(7.97886 - 34.9577i) q^{16} +(43.9141 - 55.0665i) q^{17} +(-46.3281 + 22.3104i) q^{18} +158.406 q^{19} -50.3210 q^{20} +(-30.9592 + 38.8216i) q^{21} +(-16.4707 - 20.6536i) q^{22} +(-141.275 - 68.0345i) q^{23} +(-107.750 - 135.115i) q^{24} +(-52.7841 - 231.262i) q^{25} +(60.7167 - 76.1364i) q^{26} +(7.46435 - 32.7035i) q^{27} +(-16.8606 - 8.11966i) q^{28} +(-75.3785 - 36.3004i) q^{29} +(192.660 - 241.588i) q^{30} +(126.126 + 60.7389i) q^{31} +(71.1307 - 89.1950i) q^{32} -80.0810 q^{33} +(-146.860 + 70.7239i) q^{34} +(29.9741 - 131.325i) q^{35} -58.7469 q^{36} +(-27.9197 - 122.324i) q^{37} +(-330.293 - 159.061i) q^{38} +(-65.6895 - 287.805i) q^{39} +(422.391 + 203.413i) q^{40} +(159.461 - 199.957i) q^{41} +(103.535 - 49.8600i) q^{42} +(-269.672 - 129.867i) q^{43} +(-6.71591 - 29.4243i) q^{44} +(-94.0951 - 412.258i) q^{45} +(226.258 + 283.718i) q^{46} +(101.367 + 444.119i) q^{47} +(55.9764 + 245.249i) q^{48} +(-182.624 + 229.003i) q^{49} +(-122.158 + 535.209i) q^{50} +(-109.954 + 481.738i) q^{51} +(100.240 - 48.2728i) q^{52} +(-432.071 - 541.800i) q^{53} +(-48.4027 + 60.6950i) q^{54} +(195.729 - 94.2580i) q^{55} +(108.705 + 136.312i) q^{56} +(-1001.26 + 482.180i) q^{57} +(120.722 + 151.380i) q^{58} +(71.4194 + 34.3938i) q^{59} +(318.070 - 153.175i) q^{60} +(-496.828 - 239.260i) q^{61} +(-201.995 - 253.294i) q^{62} +(34.9931 - 153.315i) q^{63} +(-496.325 + 239.017i) q^{64} +(499.310 + 626.114i) q^{65} +(166.977 + 80.4121i) q^{66} +(-28.9381 - 126.786i) q^{67} -186.227 q^{68} +1100.07 q^{69} +(-194.367 + 243.729i) q^{70} +(626.094 - 785.097i) q^{71} +(493.118 + 237.473i) q^{72} +(-174.386 - 764.035i) q^{73} +(-64.6145 + 283.094i) q^{74} +(1037.59 + 1301.10i) q^{75} +(-261.138 - 327.456i) q^{76} +80.7905 q^{77} +(-152.025 + 666.064i) q^{78} +(-62.4808 - 78.3485i) q^{79} +(-425.480 - 533.535i) q^{80} +(185.858 + 814.295i) q^{81} +(-533.277 + 256.813i) q^{82} +348.206 q^{83} +131.289 q^{84} +(-298.281 - 1306.85i) q^{85} +(431.890 + 541.573i) q^{86} +586.951 q^{87} +(-62.5693 + 274.134i) q^{88} +(351.651 - 169.346i) q^{89} +(-217.764 + 954.085i) q^{90} +(66.2715 + 290.355i) q^{91} +(92.2562 + 404.201i) q^{92} -982.105 q^{93} +(234.594 - 1027.82i) q^{94} +(1879.67 - 2357.03i) q^{95} +(-178.100 + 780.305i) q^{96} +(-26.8013 + 33.6078i) q^{97} +(610.739 - 294.116i) q^{98} +(228.503 - 110.041i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 294 q - 5 q^{2} - 5 q^{3} - 161 q^{4} - 5 q^{5} + 58 q^{6} + 15 q^{7} + 115 q^{8} - 446 q^{9} - 211 q^{10} + 93 q^{11} - 47 q^{12} + 23 q^{13} + 656 q^{14} + 343 q^{15} - 1505 q^{16} - 17 q^{17} + 132 q^{18}+ \cdots + 4526 q^{99}+O(q^{100}) \) 294 * q - 5 * q^2 - 5 * q^3 - 161 * q^4 - 5 * q^5 + 58 * q^6 + 15 * q^7 + 115 * q^8 - 446 * q^9 - 211 * q^10 + 93 * q^11 - 47 * q^12 + 23 * q^13 + 656 * q^14 + 343 * q^15 - 1505 * q^16 - 17 * q^17 + 132 * q^18 + 512 * q^19 + 148 * q^20 - 47 * q^21 - 845 * q^22 - 143 * q^23 + 775 * q^24 - 952 * q^25 + 39 * q^26 + 1159 * q^27 - 130 * q^28 - 169 * q^29 + 1048 * q^30 - 269 * q^31 - 39 * q^32 + 234 * q^33 + 761 * q^34 + 949 * q^35 + 15930 * q^36 + 715 * q^37 - 987 * q^38 - 417 * q^39 - 3303 * q^40 + 65 * q^41 - 2334 * q^42 + 581 * q^43 - 1751 * q^44 - 2497 * q^45 + 13 * q^46 - 361 * q^47 - 3995 * q^48 - 3728 * q^49 + 3671 * q^50 + 213 * q^51 + 4036 * q^52 - 47 * q^53 + 1358 * q^54 - 4339 * q^55 + 680 * q^56 - 2470 * q^57 + 1483 * q^58 - 3375 * q^59 + 1549 * q^60 + 805 * q^61 - 1149 * q^62 - 4839 * q^63 - 7061 * q^64 + 457 * q^65 + 1224 * q^66 + 2261 * q^67 + 1216 * q^68 - 4378 * q^69 + 1360 * q^70 - 1687 * q^71 + 936 * q^72 + 3075 * q^73 - 601 * q^74 + 3549 * q^75 - 5960 * q^76 - 4318 * q^77 - 11681 * q^78 + 2973 * q^79 - 1671 * q^80 - 4288 * q^81 + 2197 * q^82 + 9380 * q^83 - 7416 * q^84 - 5171 * q^85 - 3868 * q^86 + 1826 * q^87 - 3252 * q^88 - 79 * q^89 + 19791 * q^90 + 8303 * q^91 + 8077 * q^92 + 2118 * q^93 + 6319 * q^94 - 3280 * q^95 - 13752 * q^96 - 17 * q^97 - 4434 * q^98 + 4526 * q^99

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