Properties

Label 503.2.c.a.2.16
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.16
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.604152 - 0.743843i) q^{2} +(-0.138203 + 0.119616i) q^{3} +(0.221807 - 1.05871i) q^{4} +(0.634410 + 2.00359i) q^{5} +(0.172471 + 0.0305350i) q^{6} +(0.803660 - 2.33347i) q^{7} +(-2.62536 + 1.35221i) q^{8} +(-0.425531 + 2.93591i) q^{9} +O(q^{10})\) \(q+(-0.604152 - 0.743843i) q^{2} +(-0.138203 + 0.119616i) q^{3} +(0.221807 - 1.05871i) q^{4} +(0.634410 + 2.00359i) q^{5} +(0.172471 + 0.0305350i) q^{6} +(0.803660 - 2.33347i) q^{7} +(-2.62536 + 1.35221i) q^{8} +(-0.425531 + 2.93591i) q^{9} +(1.10707 - 1.68237i) q^{10} +(2.61674 - 0.846611i) q^{11} +(0.0959848 + 0.172849i) q^{12} +(3.61683 - 1.22039i) q^{13} +(-2.22127 + 0.811976i) q^{14} +(-0.327339 - 0.201016i) q^{15} +(0.610481 + 0.267542i) q^{16} +(3.34150 + 1.66848i) q^{17} +(2.44094 - 1.45721i) q^{18} +(-1.21689 - 2.73012i) q^{19} +(2.26194 - 0.227249i) q^{20} +(0.168053 + 0.418624i) q^{21} +(-2.21066 - 1.43496i) q^{22} +(1.13515 - 3.92370i) q^{23} +(0.201088 - 0.500915i) q^{24} +(0.476887 - 0.335653i) q^{25} +(-3.09290 - 1.95305i) q^{26} +(-0.588039 - 0.918449i) q^{27} +(-2.29222 - 1.36843i) q^{28} +(-0.936650 + 7.84014i) q^{29} +(0.0482380 + 0.364933i) q^{30} +(-0.267980 - 3.28665i) q^{31} +(1.40045 + 5.07796i) q^{32} +(-0.260374 + 0.430009i) q^{33} +(-0.777690 - 3.49356i) q^{34} +(5.18516 + 0.129825i) q^{35} +(3.01390 + 1.10172i) q^{36} +(4.43030 + 5.59635i) q^{37} +(-1.29559 + 2.55459i) q^{38} +(-0.353880 + 0.601294i) q^{39} +(-4.37482 - 4.40228i) q^{40} +(2.25284 - 11.4664i) q^{41} +(0.209861 - 0.377918i) q^{42} +(2.11050 - 11.5010i) q^{43} +(-0.315907 - 2.95816i) q^{44} +(-6.15232 + 1.00998i) q^{45} +(-3.60442 + 1.52614i) q^{46} +(-1.79475 + 0.0674227i) q^{47} +(-0.116373 + 0.0360482i) q^{48} +(0.716255 + 0.559760i) q^{49} +(-0.537785 - 0.151944i) q^{50} +(-0.661382 + 0.169108i) q^{51} +(-0.489806 - 4.09988i) q^{52} +(-0.771755 + 1.73145i) q^{53} +(-0.327916 + 0.992292i) q^{54} +(3.35634 + 4.70577i) q^{55} +(1.04544 + 7.21292i) q^{56} +(0.494745 + 0.231751i) q^{57} +(6.39771 - 4.03992i) q^{58} +(0.0214308 - 0.0515105i) q^{59} +(-0.285425 + 0.301971i) q^{60} +(-5.67573 - 9.37350i) q^{61} +(-2.28285 + 2.18497i) q^{62} +(6.50889 + 3.35244i) q^{63} +(3.70519 - 5.19487i) q^{64} +(4.73971 + 6.47241i) q^{65} +(0.477165 - 0.0661140i) q^{66} +(-8.90348 + 5.46756i) q^{67} +(2.50760 - 3.16761i) q^{68} +(0.312457 + 0.678050i) q^{69} +(-3.03606 - 3.93538i) q^{70} +(-0.281818 - 1.78656i) q^{71} +(-2.85279 - 8.28324i) q^{72} +(5.73951 + 5.49343i) q^{73} +(1.48623 - 6.67649i) q^{74} +(-0.0257579 + 0.103432i) q^{75} +(-3.16033 + 0.682781i) q^{76} +(0.127427 - 6.78648i) q^{77} +(0.661065 - 0.100043i) q^{78} +(0.590952 + 10.4810i) q^{79} +(-0.148748 + 1.39288i) q^{80} +(-8.34241 - 2.47019i) q^{81} +(-9.89022 + 5.25167i) q^{82} +(5.59766 + 10.7030i) q^{83} +(0.480478 - 0.0850658i) q^{84} +(-1.22306 + 7.75347i) q^{85} +(-9.83000 + 5.37848i) q^{86} +(-0.808360 - 1.19557i) q^{87} +(-5.72510 + 5.76104i) q^{88} +(-0.241778 - 0.921526i) q^{89} +(4.46821 + 3.96617i) q^{90} +(0.0589561 - 9.42056i) q^{91} +(-3.90229 - 2.07210i) q^{92} +(0.430172 + 0.422170i) q^{93} +(1.13446 + 1.29428i) q^{94} +(4.69802 - 4.17016i) q^{95} +(-0.800954 - 0.534274i) q^{96} +(4.35932 + 18.4889i) q^{97} +(-0.0163537 - 0.870961i) q^{98} +(1.37207 + 8.04279i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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 \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.604152 0.743843i −0.427200 0.525976i 0.516718 0.856156i \(-0.327154\pi\)
−0.943918 + 0.330180i \(0.892891\pi\)
\(3\) −0.138203 + 0.119616i −0.0797917 + 0.0690605i −0.693415 0.720539i \(-0.743895\pi\)
0.613623 + 0.789599i \(0.289711\pi\)
\(4\) 0.221807 1.05871i 0.110903 0.529356i
\(5\) 0.634410 + 2.00359i 0.283717 + 0.896031i 0.983380 + 0.181558i \(0.0581141\pi\)
−0.699663 + 0.714473i \(0.746667\pi\)
\(6\) 0.172471 + 0.0305350i 0.0704112 + 0.0124659i
\(7\) 0.803660 2.33347i 0.303755 0.881969i −0.684481 0.729031i \(-0.739971\pi\)
0.988236 0.152938i \(-0.0488736\pi\)
\(8\) −2.62536 + 1.35221i −0.928205 + 0.478078i
\(9\) −0.425531 + 2.93591i −0.141844 + 0.978638i
\(10\) 1.10707 1.68237i 0.350087 0.532013i
\(11\) 2.61674 0.846611i 0.788977 0.255263i 0.114368 0.993438i \(-0.463516\pi\)
0.674609 + 0.738175i \(0.264312\pi\)
\(12\) 0.0959848 + 0.172849i 0.0277084 + 0.0498973i
\(13\) 3.61683 1.22039i 1.00313 0.338476i 0.230321 0.973115i \(-0.426023\pi\)
0.772809 + 0.634639i \(0.218851\pi\)
\(14\) −2.22127 + 0.811976i −0.593659 + 0.217010i
\(15\) −0.327339 0.201016i −0.0845185 0.0519022i
\(16\) 0.610481 + 0.267542i 0.152620 + 0.0668855i
\(17\) 3.34150 + 1.66848i 0.810432 + 0.404665i 0.803495 0.595311i \(-0.202971\pi\)
0.00693664 + 0.999976i \(0.497792\pi\)
\(18\) 2.44094 1.45721i 0.575336 0.343468i
\(19\) −1.21689 2.73012i −0.279174 0.626333i 0.718423 0.695606i \(-0.244864\pi\)
−0.997598 + 0.0692736i \(0.977932\pi\)
\(20\) 2.26194 0.227249i 0.505785 0.0508144i
\(21\) 0.168053 + 0.418624i 0.0366721 + 0.0913513i
\(22\) −2.21066 1.43496i −0.471313 0.305935i
\(23\) 1.13515 3.92370i 0.236695 0.818148i −0.750804 0.660525i \(-0.770334\pi\)
0.987499 0.157623i \(-0.0503832\pi\)
\(24\) 0.201088 0.500915i 0.0410468 0.102249i
\(25\) 0.476887 0.335653i 0.0953774 0.0671305i
\(26\) −3.09290 1.95305i −0.606567 0.383025i
\(27\) −0.588039 0.918449i −0.113168 0.176756i
\(28\) −2.29222 1.36843i −0.433189 0.258608i
\(29\) −0.936650 + 7.84014i −0.173931 + 1.45588i 0.588337 + 0.808616i \(0.299783\pi\)
−0.762268 + 0.647262i \(0.775914\pi\)
\(30\) 0.0482380 + 0.364933i 0.00880701 + 0.0666274i
\(31\) −0.267980 3.28665i −0.0481306 0.590299i −0.976054 0.217528i \(-0.930201\pi\)
0.927923 0.372771i \(-0.121592\pi\)
\(32\) 1.40045 + 5.07796i 0.247567 + 0.897665i
\(33\) −0.260374 + 0.430009i −0.0453253 + 0.0748550i
\(34\) −0.777690 3.49356i −0.133373 0.599141i
\(35\) 5.18516 + 0.129825i 0.876452 + 0.0219445i
\(36\) 3.01390 + 1.10172i 0.502317 + 0.183620i
\(37\) 4.43030 + 5.59635i 0.728336 + 0.920035i 0.999092 0.0426132i \(-0.0135683\pi\)
−0.270755 + 0.962648i \(0.587273\pi\)
\(38\) −1.29559 + 2.55459i −0.210173 + 0.414408i
\(39\) −0.353880 + 0.601294i −0.0566661 + 0.0962841i
\(40\) −4.37482 4.40228i −0.691720 0.696062i
\(41\) 2.25284 11.4664i 0.351834 1.79074i −0.225507 0.974241i \(-0.572404\pi\)
0.577342 0.816503i \(-0.304090\pi\)
\(42\) 0.209861 0.377918i 0.0323823 0.0583139i
\(43\) 2.11050 11.5010i 0.321848 1.75389i −0.284489 0.958679i \(-0.591824\pi\)
0.606337 0.795208i \(-0.292638\pi\)
\(44\) −0.315907 2.95816i −0.0476248 0.445960i
\(45\) −6.15232 + 1.00998i −0.917133 + 0.150560i
\(46\) −3.60442 + 1.52614i −0.531442 + 0.225017i
\(47\) −1.79475 + 0.0674227i −0.261792 + 0.00983462i −0.168112 0.985768i \(-0.553767\pi\)
−0.0936792 + 0.995602i \(0.529863\pi\)
\(48\) −0.116373 + 0.0360482i −0.0167970 + 0.00520311i
\(49\) 0.716255 + 0.559760i 0.102322 + 0.0799657i
\(50\) −0.537785 0.151944i −0.0760543 0.0214881i
\(51\) −0.661382 + 0.169108i −0.0926120 + 0.0236799i
\(52\) −0.489806 4.09988i −0.0679239 0.568551i
\(53\) −0.771755 + 1.73145i −0.106009 + 0.237832i −0.958606 0.284736i \(-0.908094\pi\)
0.852597 + 0.522569i \(0.175026\pi\)
\(54\) −0.327916 + 0.992292i −0.0446238 + 0.135034i
\(55\) 3.35634 + 4.70577i 0.452569 + 0.634526i
\(56\) 1.04544 + 7.21292i 0.139703 + 0.963867i
\(57\) 0.494745 + 0.231751i 0.0655306 + 0.0306962i
\(58\) 6.39771 4.03992i 0.840060 0.530468i
\(59\) 0.0214308 0.0515105i 0.00279006 0.00670610i −0.921879 0.387479i \(-0.873346\pi\)
0.924669 + 0.380773i \(0.124342\pi\)
\(60\) −0.285425 + 0.301971i −0.0368482 + 0.0389843i
\(61\) −5.67573 9.37350i −0.726702 1.20015i −0.972965 0.230951i \(-0.925816\pi\)
0.246263 0.969203i \(-0.420797\pi\)
\(62\) −2.28285 + 2.18497i −0.289922 + 0.277491i
\(63\) 6.50889 + 3.35244i 0.820043 + 0.422368i
\(64\) 3.70519 5.19487i 0.463149 0.649359i
\(65\) 4.73971 + 6.47241i 0.587889 + 0.802804i
\(66\) 0.477165 0.0661140i 0.0587349 0.00813807i
\(67\) −8.90348 + 5.46756i −1.08773 + 0.667969i −0.946726 0.322040i \(-0.895631\pi\)
−0.141007 + 0.990009i \(0.545034\pi\)
\(68\) 2.50760 3.16761i 0.304091 0.384129i
\(69\) 0.312457 + 0.678050i 0.0376154 + 0.0816277i
\(70\) −3.03606 3.93538i −0.362878 0.470368i
\(71\) −0.281818 1.78656i −0.0334456 0.212026i 0.965358 0.260929i \(-0.0840290\pi\)
−0.998804 + 0.0489033i \(0.984427\pi\)
\(72\) −2.85279 8.28324i −0.336205 0.976189i
\(73\) 5.73951 + 5.49343i 0.671759 + 0.642957i 0.948052 0.318116i \(-0.103050\pi\)
−0.276293 + 0.961073i \(0.589106\pi\)
\(74\) 1.48623 6.67649i 0.172771 0.776127i
\(75\) −0.0257579 + 0.103432i −0.00297426 + 0.0119433i
\(76\) −3.16033 + 0.682781i −0.362515 + 0.0783204i
\(77\) 0.127427 6.78648i 0.0145217 0.773391i
\(78\) 0.661065 0.100043i 0.0748509 0.0113276i
\(79\) 0.590952 + 10.4810i 0.0664873 + 1.17921i 0.838972 + 0.544175i \(0.183157\pi\)
−0.772485 + 0.635033i \(0.780986\pi\)
\(80\) −0.148748 + 1.39288i −0.0166306 + 0.155729i
\(81\) −8.34241 2.47019i −0.926935 0.274465i
\(82\) −9.89022 + 5.25167i −1.09219 + 0.579950i
\(83\) 5.59766 + 10.7030i 0.614423 + 1.17481i 0.970670 + 0.240414i \(0.0772833\pi\)
−0.356247 + 0.934392i \(0.615944\pi\)
\(84\) 0.480478 0.0850658i 0.0524245 0.00928144i
\(85\) −1.22306 + 7.75347i −0.132659 + 0.840982i
\(86\) −9.83000 + 5.37848i −1.06000 + 0.579977i
\(87\) −0.808360 1.19557i −0.0866653 0.128179i
\(88\) −5.72510 + 5.76104i −0.610297 + 0.614129i
\(89\) −0.241778 0.921526i −0.0256284 0.0976815i 0.953214 0.302295i \(-0.0977528\pi\)
−0.978843 + 0.204614i \(0.934406\pi\)
\(90\) 4.46821 + 3.96617i 0.470990 + 0.418071i
\(91\) 0.0589561 9.42056i 0.00618028 0.987543i
\(92\) −3.90229 2.07210i −0.406842 0.216031i
\(93\) 0.430172 + 0.422170i 0.0446067 + 0.0437770i
\(94\) 1.13446 + 1.29428i 0.117010 + 0.133495i
\(95\) 4.69802 4.17016i 0.482007 0.427850i
\(96\) −0.800954 0.534274i −0.0817470 0.0545291i
\(97\) 4.35932 + 18.4889i 0.442622 + 1.87726i 0.478813 + 0.877917i \(0.341067\pi\)
−0.0361907 + 0.999345i \(0.511522\pi\)
\(98\) −0.0163537 0.870961i −0.00165198 0.0879803i
\(99\) 1.37207 + 8.04279i 0.137899 + 0.808330i
\(100\) −0.249583 0.579336i −0.0249583 0.0579336i
\(101\) −1.74991 + 0.689801i −0.174123 + 0.0686378i −0.452180 0.891927i \(-0.649353\pi\)
0.278057 + 0.960565i \(0.410310\pi\)
\(102\) 0.525366 + 0.389797i 0.0520190 + 0.0385957i
\(103\) −13.1097 + 2.66104i −1.29174 + 0.262200i −0.795483 0.605976i \(-0.792783\pi\)
−0.496257 + 0.868175i \(0.665293\pi\)
\(104\) −7.84527 + 8.09468i −0.769292 + 0.793749i
\(105\) −0.732136 + 0.602287i −0.0714491 + 0.0587772i
\(106\) 1.75418 0.471993i 0.170381 0.0458440i
\(107\) −10.8242 0.406628i −1.04642 0.0393102i −0.491224 0.871033i \(-0.663450\pi\)
−0.555191 + 0.831723i \(0.687355\pi\)
\(108\) −1.10280 + 0.418846i −0.106117 + 0.0403035i
\(109\) −4.00862 4.24100i −0.383956 0.406214i 0.505800 0.862651i \(-0.331197\pi\)
−0.889756 + 0.456436i \(0.849126\pi\)
\(110\) 1.47261 5.33959i 0.140408 0.509110i
\(111\) −1.28170 0.243499i −0.121653 0.0231119i
\(112\) 1.11492 1.20953i 0.105350 0.114290i
\(113\) 7.17988 + 14.6073i 0.675426 + 1.37414i 0.915075 + 0.403283i \(0.132131\pi\)
−0.239649 + 0.970860i \(0.577032\pi\)
\(114\) −0.126515 0.508026i −0.0118492 0.0475810i
\(115\) 8.58162 0.214865i 0.800240 0.0200363i
\(116\) 8.09270 + 2.73064i 0.751389 + 0.253533i
\(117\) 2.04389 + 11.1380i 0.188958 + 1.02971i
\(118\) −0.0512632 + 0.0151790i −0.00471916 + 0.00139734i
\(119\) 6.57877 6.45640i 0.603075 0.591857i
\(120\) 1.13120 + 0.0851106i 0.103264 + 0.00776950i
\(121\) −2.78476 + 2.01261i −0.253160 + 0.182965i
\(122\) −3.54341 + 9.88487i −0.320805 + 0.894934i
\(123\) 1.06021 + 1.85416i 0.0955961 + 0.167184i
\(124\) −3.53905 0.445286i −0.317816 0.0399879i
\(125\) 9.33501 + 7.10901i 0.834949 + 0.635849i
\(126\) −1.43867 6.86698i −0.128167 0.611759i
\(127\) 5.86799 3.30676i 0.520699 0.293428i −0.208156 0.978096i \(-0.566746\pi\)
0.728855 + 0.684668i \(0.240053\pi\)
\(128\) 4.41178 0.276457i 0.389950 0.0244356i
\(129\) 1.08403 + 1.84193i 0.0954434 + 0.162173i
\(130\) 1.95094 7.43592i 0.171109 0.652174i
\(131\) −12.6470 + 8.43616i −1.10497 + 0.737070i −0.967358 0.253415i \(-0.918446\pi\)
−0.137616 + 0.990486i \(0.543944\pi\)
\(132\) 0.397504 + 0.371040i 0.0345982 + 0.0322949i
\(133\) −7.34863 + 0.645496i −0.637207 + 0.0559716i
\(134\) 9.44606 + 3.31954i 0.816015 + 0.286765i
\(135\) 1.46713 1.76086i 0.126271 0.151551i
\(136\) −11.0288 + 0.138047i −0.945708 + 0.0118374i
\(137\) −6.10189 15.7680i −0.521320 1.34715i −0.905677 0.423969i \(-0.860637\pi\)
0.384357 0.923185i \(-0.374423\pi\)
\(138\) 0.315591 0.642064i 0.0268649 0.0546562i
\(139\) −2.52367 0.545233i −0.214055 0.0462460i 0.102878 0.994694i \(-0.467195\pi\)
−0.316933 + 0.948448i \(0.602653\pi\)
\(140\) 1.28755 5.46080i 0.108818 0.461522i
\(141\) 0.239976 0.224000i 0.0202096 0.0188642i
\(142\) −1.15866 + 1.28899i −0.0972327 + 0.108169i
\(143\) 8.43112 6.25550i 0.705046 0.523111i
\(144\) −1.04526 + 1.67847i −0.0871049 + 0.139873i
\(145\) −16.3026 + 3.09720i −1.35386 + 0.257209i
\(146\) 0.618708 7.58816i 0.0512046 0.628000i
\(147\) −0.165945 + 0.00831502i −0.0136869 + 0.000685812i
\(148\) 6.90760 3.44910i 0.567801 0.283514i
\(149\) 11.6172 18.1447i 0.951719 1.48648i 0.0798081 0.996810i \(-0.474569\pi\)
0.871911 0.489665i \(-0.162881\pi\)
\(150\) 0.0924986 0.0433287i 0.00755248 0.00353777i
\(151\) 7.85173 + 11.9320i 0.638965 + 0.971008i 0.999271 + 0.0381744i \(0.0121543\pi\)
−0.360306 + 0.932834i \(0.617328\pi\)
\(152\) 6.88647 + 5.52206i 0.558567 + 0.447898i
\(153\) −6.32041 + 9.10036i −0.510975 + 0.735720i
\(154\) −5.12506 + 4.00528i −0.412989 + 0.322755i
\(155\) 6.41507 2.62200i 0.515271 0.210604i
\(156\) 0.558105 + 0.508028i 0.0446842 + 0.0406748i
\(157\) −7.12875 + 14.9739i −0.568936 + 1.19504i 0.392433 + 0.919781i \(0.371633\pi\)
−0.961369 + 0.275263i \(0.911235\pi\)
\(158\) 7.43921 6.77171i 0.591832 0.538729i
\(159\) −0.100450 0.331606i −0.00796619 0.0262980i
\(160\) −9.28567 + 6.02743i −0.734097 + 0.476510i
\(161\) −8.24357 5.80216i −0.649684 0.457274i
\(162\) 3.20266 + 7.69781i 0.251625 + 0.604797i
\(163\) −22.6930 8.61883i −1.77746 0.675079i −0.998869 0.0475411i \(-0.984861\pi\)
−0.778586 0.627538i \(-0.784063\pi\)
\(164\) −11.6399 4.92843i −0.908922 0.384845i
\(165\) −1.02674 0.248879i −0.0799319 0.0193752i
\(166\) 4.57950 10.6300i 0.355438 0.825049i
\(167\) −0.538012 + 17.1883i −0.0416326 + 1.33007i 0.725339 + 0.688392i \(0.241683\pi\)
−0.766972 + 0.641681i \(0.778237\pi\)
\(168\) −1.00727 0.871798i −0.0777122 0.0672607i
\(169\) 1.24972 0.951713i 0.0961320 0.0732087i
\(170\) 6.50627 3.77452i 0.499008 0.289492i
\(171\) 8.53322 2.41094i 0.652552 0.184369i
\(172\) −11.7081 4.78541i −0.892737 0.364884i
\(173\) 1.13883 + 2.39210i 0.0865837 + 0.181868i 0.941600 0.336732i \(-0.109322\pi\)
−0.855017 + 0.518600i \(0.826453\pi\)
\(174\) −0.400944 + 1.32360i −0.0303955 + 0.100342i
\(175\) −0.399981 1.38255i −0.0302357 0.104511i
\(176\) 1.82397 + 0.183248i 0.137487 + 0.0138129i
\(177\) 0.00319968 + 0.00968240i 0.000240503 + 0.000727774i
\(178\) −0.539399 + 0.736587i −0.0404297 + 0.0552095i
\(179\) −1.83612 + 3.40625i −0.137238 + 0.254595i −0.939622 0.342213i \(-0.888824\pi\)
0.802384 + 0.596808i \(0.203565\pi\)
\(180\) −0.295342 + 6.73756i −0.0220135 + 0.502188i
\(181\) −1.02416 14.8539i −0.0761251 1.10408i −0.869037 0.494748i \(-0.835260\pi\)
0.792912 0.609337i \(-0.208564\pi\)
\(182\) −7.04303 + 5.64760i −0.522064 + 0.418628i
\(183\) 1.90563 + 0.616540i 0.140868 + 0.0455759i
\(184\) 2.32548 + 11.8361i 0.171437 + 0.872568i
\(185\) −8.40215 + 12.4269i −0.617739 + 0.913641i
\(186\) 0.0541390 0.575035i 0.00396966 0.0421636i
\(187\) 10.1564 + 1.53702i 0.742708 + 0.112398i
\(188\) −0.326707 + 1.91508i −0.0238276 + 0.139672i
\(189\) −2.61576 + 0.634051i −0.190268 + 0.0461204i
\(190\) −5.94027 0.975174i −0.430952 0.0707465i
\(191\) 0.320364 5.68192i 0.0231807 0.411129i −0.965433 0.260652i \(-0.916062\pi\)
0.988614 0.150477i \(-0.0480810\pi\)
\(192\) 0.109321 + 1.16115i 0.00788957 + 0.0837988i
\(193\) −8.27173 4.52587i −0.595412 0.325780i 0.153808 0.988101i \(-0.450846\pi\)
−0.749220 + 0.662321i \(0.769571\pi\)
\(194\) 11.1191 14.4128i 0.798307 1.03478i
\(195\) −1.42925 0.327561i −0.102351 0.0234572i
\(196\) 0.751495 0.634149i 0.0536782 0.0452964i
\(197\) −12.5454 + 0.943907i −0.893822 + 0.0672506i −0.513981 0.857801i \(-0.671830\pi\)
−0.379841 + 0.925052i \(0.624021\pi\)
\(198\) 5.15363 5.87968i 0.366252 0.417850i
\(199\) −0.133097 21.2675i −0.00943498 1.50761i −0.661786 0.749693i \(-0.730201\pi\)
0.652351 0.757917i \(-0.273783\pi\)
\(200\) −0.798129 + 1.52606i −0.0564362 + 0.107909i
\(201\) 0.576481 1.82063i 0.0406618 0.128418i
\(202\) 1.57032 + 0.884915i 0.110487 + 0.0622624i
\(203\) 17.5420 + 8.48646i 1.23121 + 0.595632i
\(204\) 0.0323382 + 0.737723i 0.00226413 + 0.0516510i
\(205\) 24.4031 2.76061i 1.70438 0.192809i
\(206\) 9.89967 + 8.14391i 0.689743 + 0.567413i
\(207\) 11.0366 + 5.00236i 0.767097 + 0.347688i
\(208\) 2.53451 + 0.222629i 0.175737 + 0.0154366i
\(209\) −5.49565 6.11378i −0.380142 0.422899i
\(210\) 0.890328 + 0.180720i 0.0614385 + 0.0124709i
\(211\) 3.11930 2.13762i 0.214742 0.147159i −0.453108 0.891455i \(-0.649685\pi\)
0.667850 + 0.744296i \(0.267215\pi\)
\(212\) 1.66192 + 1.20111i 0.114141 + 0.0824928i
\(213\) 0.252650 + 0.213199i 0.0173113 + 0.0146082i
\(214\) 6.23700 + 8.29717i 0.426353 + 0.567183i
\(215\) 24.3822 3.06778i 1.66285 0.209221i
\(216\) 2.78575 + 1.61611i 0.189546 + 0.109962i
\(217\) −7.88466 2.01602i −0.535246 0.136857i
\(218\) −0.732822 + 5.54399i −0.0496330 + 0.375487i
\(219\) −1.45032 0.0726714i −0.0980037 0.00491068i
\(220\) 5.72652 2.50963i 0.386082 0.169200i
\(221\) 14.1218 + 1.95666i 0.949937 + 0.131619i
\(222\) 0.593215 + 1.10049i 0.0398140 + 0.0738601i
\(223\) 2.18842 1.05871i 0.146548 0.0708967i −0.360775 0.932653i \(-0.617488\pi\)
0.507323 + 0.861756i \(0.330635\pi\)
\(224\) 12.9748 + 0.813043i 0.866913 + 0.0543237i
\(225\) 0.782517 + 1.54293i 0.0521678 + 0.102862i
\(226\) 6.52782 14.1658i 0.434224 0.942292i
\(227\) 7.10456 1.62825i 0.471546 0.108071i 0.0190143 0.999819i \(-0.493947\pi\)
0.452532 + 0.891748i \(0.350521\pi\)
\(228\) 0.355096 0.472389i 0.0235168 0.0312847i
\(229\) −2.65949 + 4.65108i −0.175744 + 0.307352i −0.942265 0.334867i \(-0.891309\pi\)
0.766521 + 0.642219i \(0.221986\pi\)
\(230\) −5.34443 6.25356i −0.352401 0.412348i
\(231\) 0.794162 + 0.953156i 0.0522520 + 0.0627131i
\(232\) −8.14246 21.8497i −0.534578 1.43451i
\(233\) −19.1003 0.239078i −1.25130 0.0156625i −0.615888 0.787834i \(-0.711203\pi\)
−0.635415 + 0.772171i \(0.719171\pi\)
\(234\) 7.05012 8.24940i 0.460881 0.539280i
\(235\) −1.27370 3.55317i −0.0830868 0.231783i
\(236\) −0.0497814 0.0341145i −0.00324049 0.00222066i
\(237\) −1.33537 1.37782i −0.0867418 0.0894993i
\(238\) −8.77712 0.992918i −0.568936 0.0643613i
\(239\) 0.600819 8.71401i 0.0388638 0.563663i −0.937563 0.347815i \(-0.886924\pi\)
0.976427 0.215848i \(-0.0692515\pi\)
\(240\) −0.146054 0.210294i −0.00942773 0.0135744i
\(241\) 0.876464 + 0.271498i 0.0564580 + 0.0174887i 0.323994 0.946059i \(-0.394974\pi\)
−0.267536 + 0.963548i \(0.586209\pi\)
\(242\) 3.17949 + 0.855497i 0.204385 + 0.0549934i
\(243\) 4.42832 2.00714i 0.284077 0.128758i
\(244\) −11.1828 + 3.92986i −0.715903 + 0.251583i
\(245\) −0.667128 + 1.79019i −0.0426212 + 0.114371i
\(246\) 0.738676 1.90883i 0.0470963 0.121702i
\(247\) −7.73312 8.38931i −0.492046 0.533799i
\(248\) 5.14777 + 8.26627i 0.326884 + 0.524909i
\(249\) −2.05387 0.809617i −0.130159 0.0513074i
\(250\) −0.351782 11.2387i −0.0222487 0.710798i
\(251\) −10.8235 + 13.3261i −0.683175 + 0.841136i −0.994006 0.109329i \(-0.965130\pi\)
0.310831 + 0.950465i \(0.399393\pi\)
\(252\) 4.99299 6.14745i 0.314529 0.387253i
\(253\) −0.351458 11.2283i −0.0220960 0.705920i
\(254\) −6.00487 2.36707i −0.376779 0.148523i
\(255\) −0.758411 1.21785i −0.0474935 0.0762649i
\(256\) −11.5205 12.4980i −0.720029 0.781127i
\(257\) 3.17373 8.20131i 0.197972 0.511584i −0.797855 0.602850i \(-0.794032\pi\)
0.995827 + 0.0912664i \(0.0290915\pi\)
\(258\) 0.715185 1.91915i 0.0445254 0.119481i
\(259\) 16.6194 5.84040i 1.03268 0.362905i
\(260\) 7.90372 3.58237i 0.490168 0.222169i
\(261\) −22.6194 6.08615i −1.40011 0.376723i
\(262\) 13.9159 + 4.31066i 0.859727 + 0.266313i
\(263\) 11.3655 + 16.3644i 0.700826 + 1.00907i 0.998519 + 0.0544129i \(0.0173287\pi\)
−0.297693 + 0.954662i \(0.596217\pi\)
\(264\) 0.102114 1.48101i 0.00628465 0.0911498i
\(265\) −3.95871 0.447831i −0.243182 0.0275101i
\(266\) 4.91984 + 5.07624i 0.301655 + 0.311244i
\(267\) 0.143644 + 0.0984372i 0.00879087 + 0.00602426i
\(268\) 3.81373 + 10.6390i 0.232960 + 0.649878i
\(269\) 1.62170 1.89757i 0.0988770 0.115697i −0.708560 0.705651i \(-0.750655\pi\)
0.807437 + 0.589954i \(0.200854\pi\)
\(270\) −2.19617 0.0274894i −0.133655 0.00167295i
\(271\) −0.957933 2.57055i −0.0581903 0.156150i 0.904696 0.426058i \(-0.140098\pi\)
−0.962886 + 0.269909i \(0.913007\pi\)
\(272\) 1.59353 + 1.91256i 0.0966221 + 0.115966i
\(273\) 1.11870 + 1.30900i 0.0677070 + 0.0792245i
\(274\) −8.04246 + 14.0651i −0.485863 + 0.849706i
\(275\) 0.963723 1.28205i 0.0581147 0.0773108i
\(276\) 0.787166 0.180406i 0.0473818 0.0108592i
\(277\) 5.65888 12.2801i 0.340009 0.737840i −0.659900 0.751354i \(-0.729401\pi\)
0.999909 + 0.0135136i \(0.00430163\pi\)
\(278\) 1.11911 + 2.20662i 0.0671200 + 0.132344i
\(279\) 9.76334 + 0.611804i 0.584516 + 0.0366277i
\(280\) −13.7885 + 6.67058i −0.824019 + 0.398643i
\(281\) −13.6001 25.2300i −0.811317 1.50510i −0.862299 0.506399i \(-0.830976\pi\)
0.0509826 0.998700i \(-0.483765\pi\)
\(282\) −0.311602 0.0431744i −0.0185557 0.00257100i
\(283\) 13.3687 5.85881i 0.794688 0.348270i 0.0356894 0.999363i \(-0.488637\pi\)
0.758998 + 0.651093i \(0.225689\pi\)
\(284\) −1.95397 0.0979076i −0.115947 0.00580975i
\(285\) −0.150463 + 1.13829i −0.00891264 + 0.0674265i
\(286\) −9.74679 2.49215i −0.576340 0.147364i
\(287\) −24.9459 14.4720i −1.47251 0.854255i
\(288\) −15.5044 + 1.95077i −0.913605 + 0.114951i
\(289\) −1.83301 2.43848i −0.107824 0.143440i
\(290\) 12.1531 + 10.2554i 0.713654 + 0.602218i
\(291\) −2.81404 2.03378i −0.164962 0.119222i
\(292\) 7.08902 4.85801i 0.414854 0.284294i
\(293\) 8.35943 + 1.69681i 0.488363 + 0.0991287i 0.436833 0.899543i \(-0.356100\pi\)
0.0515302 + 0.998671i \(0.483590\pi\)
\(294\) 0.106441 + 0.118413i 0.00620778 + 0.00690601i
\(295\) 0.116802 + 0.0102597i 0.00680046 + 0.000597346i
\(296\) −19.1986 8.70177i −1.11589 0.505780i
\(297\) −2.31632 1.90550i −0.134406 0.110569i
\(298\) −20.5154 + 2.32082i −1.18842 + 0.134441i
\(299\) −0.682806 15.5767i −0.0394877 0.900824i
\(300\) 0.103791 + 0.0502120i 0.00599239 + 0.00289899i
\(301\) −25.1412 14.1677i −1.44911 0.816612i
\(302\) 4.13185 13.0492i 0.237761 0.750895i
\(303\) 0.159332 0.304651i 0.00915340 0.0175017i
\(304\) −0.0124680 1.99226i −0.000715089 0.114264i
\(305\) 15.1799 17.3184i 0.869197 0.991651i
\(306\) 10.5877 0.796613i 0.605260 0.0455393i
\(307\) 4.17541 3.52342i 0.238303 0.201092i −0.517878 0.855454i \(-0.673278\pi\)
0.756181 + 0.654362i \(0.227063\pi\)
\(308\) −7.15667 1.64020i −0.407789 0.0934588i
\(309\) 1.49351 1.93590i 0.0849625 0.110130i
\(310\) −5.82603 3.18771i −0.330897 0.181050i
\(311\) −1.01741 10.8064i −0.0576919 0.612773i −0.976127 0.217201i \(-0.930307\pi\)
0.918435 0.395572i \(-0.129454\pi\)
\(312\) 0.115987 2.05713i 0.00656649 0.116462i
\(313\) −15.4301 2.53306i −0.872163 0.143177i −0.290763 0.956795i \(-0.593909\pi\)
−0.581400 + 0.813618i \(0.697495\pi\)
\(314\) 15.4450 3.74382i 0.871614 0.211276i
\(315\) −2.58760 + 15.1679i −0.145795 + 0.854617i
\(316\) 11.2275 + 1.69911i 0.631595 + 0.0955826i
\(317\) −1.18302 + 12.5654i −0.0664451 + 0.705744i 0.897742 + 0.440522i \(0.145206\pi\)
−0.964187 + 0.265223i \(0.914554\pi\)
\(318\) −0.185975 + 0.275059i −0.0104290 + 0.0154246i
\(319\) 4.18658 + 21.3086i 0.234404 + 1.19305i
\(320\) 12.7590 + 4.12800i 0.713249 + 0.230762i
\(321\) 1.54458 1.23855i 0.0862100 0.0691293i
\(322\) 0.664479 + 9.63731i 0.0370300 + 0.537066i
\(323\) 0.488895 11.1530i 0.0272028 0.620572i
\(324\) −4.46562 + 8.28432i −0.248090 + 0.460240i
\(325\) 1.31519 1.79599i 0.0729538 0.0996235i
\(326\) 7.29900 + 22.0871i 0.404254 + 1.22329i
\(327\) 1.06130 + 0.106625i 0.0586899 + 0.00589636i
\(328\) 9.59038 + 33.1496i 0.529540 + 1.83038i
\(329\) −1.28504 + 4.24219i −0.0708467 + 0.233880i
\(330\) 0.435183 + 0.914097i 0.0239560 + 0.0503194i
\(331\) 21.3062 + 8.70840i 1.17110 + 0.478657i 0.878576 0.477602i \(-0.158494\pi\)
0.292521 + 0.956259i \(0.405506\pi\)
\(332\) 12.5730 3.55232i 0.690033 0.194959i
\(333\) −18.3156 + 10.6255i −1.00369 + 0.582276i
\(334\) 13.1105 9.98418i 0.717372 0.546310i
\(335\) −16.6032 14.3702i −0.907129 0.785128i
\(336\) −0.00940667 + 0.300523i −0.000513176 + 0.0163949i
\(337\) 9.14995 21.2390i 0.498429 1.15696i −0.464099 0.885783i \(-0.653622\pi\)
0.962529 0.271180i \(-0.0874140\pi\)
\(338\) −1.46294 0.354613i −0.0795736 0.0192884i
\(339\) −2.73956 1.15995i −0.148792 0.0629999i
\(340\) 7.93742 + 3.01464i 0.430467 + 0.163492i
\(341\) −3.48375 8.37343i −0.188655 0.453446i
\(342\) −6.94873 4.89080i −0.375744 0.264464i
\(343\) 16.3726 10.6276i 0.884036 0.573837i
\(344\) 10.0109 + 33.0481i 0.539753 + 1.78184i
\(345\) −1.16031 + 1.05620i −0.0624688 + 0.0568637i
\(346\) 1.09132 2.29230i 0.0586697 0.123235i
\(347\) 10.1375 + 9.22788i 0.544209 + 0.495379i 0.898030 0.439935i \(-0.144998\pi\)
−0.353821 + 0.935313i \(0.615118\pi\)
\(348\) −1.44507 + 0.590635i −0.0774637 + 0.0316614i
\(349\) −25.7606 + 20.1321i −1.37893 + 1.07765i −0.391402 + 0.920220i \(0.628010\pi\)
−0.987530 + 0.157429i \(0.949679\pi\)
\(350\) −0.786753 + 1.13280i −0.0420537 + 0.0605505i
\(351\) −3.24771 2.60424i −0.173350 0.139004i
\(352\) 7.96368 + 12.1021i 0.424466 + 0.645043i
\(353\) −8.23992 + 3.85979i −0.438567 + 0.205436i −0.630852 0.775903i \(-0.717295\pi\)
0.192285 + 0.981339i \(0.438410\pi\)
\(354\) 0.00526908 0.00822970i 0.000280049 0.000437404i
\(355\) 3.40075 1.69806i 0.180493 0.0901237i
\(356\) −1.02926 + 0.0515732i −0.0545506 + 0.00273337i
\(357\) −0.136917 + 1.67922i −0.00724642 + 0.0888739i
\(358\) 3.64301 0.692107i 0.192539 0.0365790i
\(359\) −7.35032 + 11.8031i −0.387935 + 0.622944i −0.983616 0.180277i \(-0.942301\pi\)
0.595681 + 0.803221i \(0.296882\pi\)
\(360\) 14.7863 10.9708i 0.779309 0.578211i
\(361\) 6.72897 7.48583i 0.354156 0.393991i
\(362\) −10.4302 + 9.73585i −0.548201 + 0.511705i
\(363\) 0.144121 0.611252i 0.00756442 0.0320824i
\(364\) −9.96059 2.15196i −0.522077 0.112793i
\(365\) −7.36535 + 14.9847i −0.385520 + 0.784334i
\(366\) −0.692680 1.78997i −0.0362070 0.0935632i
\(367\) 13.7194 0.171726i 0.716149 0.00896401i 0.346389 0.938091i \(-0.387408\pi\)
0.369761 + 0.929127i \(0.379440\pi\)
\(368\) 1.74274 2.09164i 0.0908467 0.109034i
\(369\) 32.7056 + 11.4934i 1.70258 + 0.598324i
\(370\) 14.3198 1.25784i 0.744451 0.0653919i
\(371\) 3.42005 + 3.19236i 0.177560 + 0.165739i
\(372\) 0.542372 0.361788i 0.0281207 0.0187578i
\(373\) −1.33009 + 5.06957i −0.0688694 + 0.262492i −0.992752 0.120185i \(-0.961651\pi\)
0.923882 + 0.382677i \(0.124998\pi\)
\(374\) −4.99270 8.48334i −0.258166 0.438663i
\(375\) −2.14048 + 0.134130i −0.110534 + 0.00692643i
\(376\) 4.62071 2.60389i 0.238295 0.134285i
\(377\) 6.18034 + 29.4996i 0.318304 + 1.51931i
\(378\) 2.05195 + 1.56265i 0.105541 + 0.0803740i
\(379\) −8.04716 1.01250i −0.413355 0.0520086i −0.0845795 0.996417i \(-0.526955\pi\)
−0.328776 + 0.944408i \(0.606636\pi\)
\(380\) −3.37295 5.89883i −0.173029 0.302603i
\(381\) −0.415432 + 1.15891i −0.0212832 + 0.0593728i
\(382\) −4.42000 + 3.19444i −0.226147 + 0.163442i
\(383\) −7.86625 0.591852i −0.401947 0.0302422i −0.127486 0.991840i \(-0.540691\pi\)
−0.274461 + 0.961598i \(0.588499\pi\)
\(384\) −0.576654 + 0.565928i −0.0294273 + 0.0288799i
\(385\) 13.6781 4.05010i 0.697103 0.206412i
\(386\) 1.63085 + 8.88718i 0.0830080 + 0.452346i
\(387\) 32.8679 + 11.0903i 1.67077 + 0.563750i
\(388\) 20.5413 0.514311i 1.04283 0.0261102i
\(389\) 3.79079 + 15.2221i 0.192201 + 0.771790i 0.986431 + 0.164173i \(0.0524957\pi\)
−0.794231 + 0.607616i \(0.792126\pi\)
\(390\) 0.619830 + 1.26103i 0.0313863 + 0.0638549i
\(391\) 10.3397 11.2171i 0.522901 0.567271i
\(392\) −2.63734 0.501047i −0.133206 0.0253067i
\(393\) 0.738756 2.67869i 0.0372653 0.135122i
\(394\) 8.28145 + 8.76153i 0.417213 + 0.441400i
\(395\) −20.6247 + 7.83329i −1.03774 + 0.394136i
\(396\) 8.81934 + 0.331312i 0.443188 + 0.0166491i
\(397\) 2.81586 0.757657i 0.141324 0.0380257i −0.188468 0.982079i \(-0.560352\pi\)
0.329792 + 0.944054i \(0.393021\pi\)
\(398\) −15.7392 + 12.9478i −0.788936 + 0.649014i
\(399\) 0.938393 0.968225i 0.0469784 0.0484719i
\(400\) 0.380932 0.0773221i 0.0190466 0.00386611i
\(401\) −24.2406 17.9854i −1.21052 0.898150i −0.213627 0.976915i \(-0.568528\pi\)
−0.996893 + 0.0787655i \(0.974902\pi\)
\(402\) −1.70255 + 0.671130i −0.0849154 + 0.0334729i
\(403\) −4.98023 11.5602i −0.248083 0.575855i
\(404\) 0.342159 + 2.00566i 0.0170230 + 0.0997852i
\(405\) −0.343272 18.2819i −0.0170573 0.908433i
\(406\) −4.28546 18.1756i −0.212684 0.902040i
\(407\) 16.3309 + 10.8935i 0.809491 + 0.539969i
\(408\) 1.50770 1.33830i 0.0746422 0.0662556i
\(409\) 13.1838 + 15.0412i 0.651898 + 0.743738i 0.979581 0.201050i \(-0.0644353\pi\)
−0.327683 + 0.944788i \(0.606268\pi\)
\(410\) −16.7966 16.4842i −0.829526 0.814097i
\(411\) 2.72941 + 1.44931i 0.134632 + 0.0714891i
\(412\) −0.0905547 + 14.4697i −0.00446131 + 0.712870i
\(413\) −0.102975 0.0914052i −0.00506708 0.00449776i
\(414\) −2.94683 11.2317i −0.144829 0.552007i
\(415\) −17.8932 + 18.0055i −0.878340 + 0.883854i
\(416\) 11.2623 + 16.6570i 0.552180 + 0.816679i
\(417\) 0.413998 0.226519i 0.0202736 0.0110927i
\(418\) −1.22749 + 7.78155i −0.0600383 + 0.380608i
\(419\) −28.8701 + 5.11128i −1.41040 + 0.249702i −0.826871 0.562392i \(-0.809881\pi\)
−0.583526 + 0.812094i \(0.698327\pi\)
\(420\) 0.475257 + 0.908713i 0.0231901 + 0.0443406i
\(421\) −10.3565 + 5.49929i −0.504747 + 0.268019i −0.701800 0.712374i \(-0.747620\pi\)
0.197053 + 0.980393i \(0.436863\pi\)
\(422\) −3.47458 1.02882i −0.169140 0.0500824i
\(423\) 0.565776 5.29793i 0.0275090 0.257594i
\(424\) −0.315138 5.58924i −0.0153045 0.271438i
\(425\) 2.15354 0.325907i 0.104462 0.0158088i
\(426\) 0.00594726 0.316737i 0.000288146 0.0153459i
\(427\) −26.4342 + 5.71103i −1.27924 + 0.276376i
\(428\) −2.83138 + 11.3695i −0.136860 + 0.549567i
\(429\) −0.416949 + 1.87303i −0.0201305 + 0.0904307i
\(430\) −17.0125 16.2831i −0.820416 0.785240i
\(431\) 0.375472 + 1.09020i 0.0180859 + 0.0525133i 0.954174 0.299252i \(-0.0967370\pi\)
−0.936088 + 0.351765i \(0.885582\pi\)
\(432\) −0.113263 0.718021i −0.00544936 0.0345458i
\(433\) 3.33667 + 4.32504i 0.160350 + 0.207848i 0.865088 0.501619i \(-0.167262\pi\)
−0.704738 + 0.709468i \(0.748935\pi\)
\(434\) 3.26393 + 7.08293i 0.156674 + 0.339992i
\(435\) 1.88260 2.37810i 0.0902637 0.114021i
\(436\) −5.37914 + 3.30329i −0.257614 + 0.158199i
\(437\) −12.0935 + 1.67563i −0.578512 + 0.0801563i
\(438\) 0.822159 + 1.12272i 0.0392843 + 0.0536454i
\(439\) −16.6036 + 23.2792i −0.792449 + 1.11105i 0.198929 + 0.980014i \(0.436254\pi\)
−0.991377 + 0.131040i \(0.958169\pi\)
\(440\) −15.1748 7.81587i −0.723430 0.372607i
\(441\) −1.94820 + 1.86467i −0.0927712 + 0.0887936i
\(442\) −7.07629 11.6865i −0.336585 0.555872i
\(443\) −27.4714 + 29.0639i −1.30521 + 1.38087i −0.425784 + 0.904825i \(0.640002\pi\)
−0.879421 + 0.476045i \(0.842070\pi\)
\(444\) −0.542085 + 1.30294i −0.0257262 + 0.0618347i
\(445\) 1.69297 1.06905i 0.0802544 0.0506778i
\(446\) −2.10966 0.988218i −0.0998952 0.0467935i
\(447\) 0.564870 + 3.89727i 0.0267174 + 0.184335i
\(448\) −9.14437 12.8209i −0.432031 0.605730i
\(449\) 6.46126 19.5521i 0.304926 0.922720i −0.677412 0.735604i \(-0.736899\pi\)
0.982338 0.187116i \(-0.0599142\pi\)
\(450\) 0.674938 1.51423i 0.0318169 0.0713817i
\(451\) −3.81245 31.9118i −0.179521 1.50267i
\(452\) 17.0575 4.36143i 0.802318 0.205144i
\(453\) −2.51239 0.709840i −0.118042 0.0333512i
\(454\) −5.50340 4.30096i −0.258287 0.201854i
\(455\) 18.9123 5.85837i 0.886623 0.274645i
\(456\) −1.61226 + 0.0605671i −0.0755010 + 0.00283632i
\(457\) 2.29055 0.969837i 0.107147 0.0453670i −0.335665 0.941981i \(-0.608961\pi\)
0.442812 + 0.896614i \(0.353981\pi\)
\(458\) 5.06641 0.831718i 0.236738 0.0388636i
\(459\) −0.432520 4.05012i −0.0201883 0.189044i
\(460\) 1.67598 9.13313i 0.0781430 0.425834i
\(461\) −17.4999 + 31.5138i −0.815052 + 1.46774i 0.0675968 + 0.997713i \(0.478467\pi\)
−0.882649 + 0.470032i \(0.844242\pi\)
\(462\) 0.229203 1.16658i 0.0106635 0.0542744i
\(463\) −3.38817 3.40944i −0.157461 0.158450i 0.626147 0.779705i \(-0.284631\pi\)
−0.783608 + 0.621255i \(0.786623\pi\)
\(464\) −2.66937 + 4.53566i −0.123923 + 0.210563i
\(465\) −0.572950 + 1.12972i −0.0265699 + 0.0523893i
\(466\) 11.3617 + 14.3521i 0.526319 + 0.664846i
\(467\) −28.0417 10.2505i −1.29761 0.474338i −0.400565 0.916268i \(-0.631186\pi\)
−0.897049 + 0.441931i \(0.854294\pi\)
\(468\) 12.2453 + 0.306596i 0.566040 + 0.0141724i
\(469\) 5.60303 + 25.1701i 0.258724 + 1.16225i
\(470\) −1.87349 + 3.09408i −0.0864177 + 0.142719i
\(471\) −0.805900 2.92215i −0.0371339 0.134646i
\(472\) 0.0133892 + 0.164213i 0.000616290 + 0.00755850i
\(473\) −4.21425 31.8819i −0.193772 1.46593i
\(474\) −0.218116 + 1.82572i −0.0100184 + 0.0838582i
\(475\) −1.49669 0.893506i −0.0686730 0.0409969i
\(476\) −5.37626 8.39710i −0.246420 0.384880i
\(477\) −4.75497 3.00259i −0.217715 0.137479i
\(478\) −6.84484 + 4.81768i −0.313076 + 0.220355i
\(479\) −7.91124 + 19.7071i −0.361474 + 0.900443i 0.630751 + 0.775985i \(0.282747\pi\)
−0.992225 + 0.124457i \(0.960281\pi\)
\(480\) 0.562332 1.94373i 0.0256668 0.0887186i
\(481\) 22.8534 + 14.8344i 1.04202 + 0.676390i
\(482\) −0.327566 0.815977i −0.0149202 0.0371668i
\(483\) 1.83332 0.184187i 0.0834190 0.00838081i
\(484\) 1.51310 + 3.39467i 0.0687774 + 0.154303i
\(485\) −34.2785 + 20.4638i −1.55651 + 0.929214i
\(486\) −4.16838 2.08136i −0.189082 0.0944122i
\(487\) −19.8673 8.70679i −0.900271 0.394542i −0.100563 0.994931i \(-0.532064\pi\)
−0.799708 + 0.600389i \(0.795013\pi\)
\(488\) 27.5757 + 16.9341i 1.24830 + 0.766569i
\(489\) 4.16720 1.52330i 0.188447 0.0688862i
\(490\) 1.73467 0.585312i 0.0783644 0.0264417i
\(491\) −6.22482 11.2096i −0.280922 0.505884i 0.696397 0.717657i \(-0.254785\pi\)
−0.977319 + 0.211773i \(0.932076\pi\)
\(492\) 2.19819 0.711195i 0.0991020 0.0320631i
\(493\) −16.2109 + 24.6350i −0.730102 + 1.10951i
\(494\) −1.56834 + 10.8206i −0.0705630 + 0.486844i
\(495\) −15.2440 + 7.85149i −0.685165 + 0.352898i
\(496\) 0.715719 2.07813i 0.0321367 0.0933108i
\(497\) −4.39538 0.778176i −0.197160 0.0349060i
\(498\) 0.638621 + 2.01689i 0.0286173 + 0.0903788i
\(499\) 1.31469 6.27519i 0.0588536 0.280916i −0.939193 0.343390i \(-0.888425\pi\)
0.998047 + 0.0624738i \(0.0198990\pi\)
\(500\) 9.59697 8.30627i 0.429190 0.371468i
\(501\) −1.98165 2.43984i −0.0885335 0.109004i
\(502\) 16.4516 0.734270
\(503\) 7.40268 + 21.1707i 0.330069 + 0.943957i
\(504\) −21.6214 −0.963093
\(505\) −2.49224 3.06849i −0.110903 0.136546i
\(506\) −8.13978 + 7.04506i −0.361857 + 0.313191i
\(507\) −0.0588746 + 0.281016i −0.00261471 + 0.0124804i
\(508\) −2.19935 6.94597i −0.0975805 0.308178i
\(509\) 13.7418 + 2.43290i 0.609095 + 0.107837i 0.470333 0.882489i \(-0.344134\pi\)
0.138762 + 0.990326i \(0.455688\pi\)
\(510\) −0.447695 + 1.29991i −0.0198243 + 0.0575608i
\(511\) 17.4314 8.97813i 0.771119 0.397169i
\(512\) −1.06831 + 7.37068i −0.0472129 + 0.325741i
\(513\) −1.79190 + 2.72307i −0.0791142 + 0.120227i
\(514\) −8.01790 + 2.59408i −0.353654 + 0.114420i
\(515\) −13.6486 24.5783i −0.601427 1.08305i
\(516\) 2.19052 0.739124i 0.0964321 0.0325381i
\(517\) −4.63932 + 1.69589i −0.204037 + 0.0745850i
\(518\) −14.3850 8.83371i −0.632040 0.388131i
\(519\) −0.443524 0.194374i −0.0194686 0.00853205i
\(520\) −21.1955 10.5833i −0.929484 0.464110i
\(521\) 23.3289 13.9270i 1.02206 0.610154i 0.0991071 0.995077i \(-0.468401\pi\)
0.922949 + 0.384923i \(0.125772\pi\)
\(522\) 9.13843 + 20.5022i 0.399978 + 0.897358i
\(523\) 27.5412 2.76696i 1.20429 0.120991i 0.522566 0.852599i \(-0.324975\pi\)
0.681726 + 0.731608i \(0.261230\pi\)
\(524\) 6.12628 + 15.2607i 0.267628 + 0.666669i
\(525\) 0.220654 + 0.143229i 0.00963015 + 0.00625104i
\(526\) 5.30608 18.3407i 0.231356 0.799695i
\(527\) 4.58823 11.4294i 0.199867 0.497874i
\(528\) −0.273999 + 0.192851i −0.0119243 + 0.00839278i
\(529\) 5.34040 + 3.37227i 0.232191 + 0.146620i
\(530\) 2.05855 + 3.21521i 0.0894176 + 0.139660i
\(531\) 0.142111 + 0.0848384i 0.00616709 + 0.00368167i
\(532\) −0.946580 + 7.92326i −0.0410394 + 0.343517i
\(533\) −5.84530 44.2213i −0.253188 1.91544i
\(534\) −0.0135610 0.166320i −0.000586843 0.00719735i
\(535\) −6.05226 21.9452i −0.261662 0.948773i
\(536\) 15.9816 26.3937i 0.690298 1.14003i
\(537\) −0.153684 0.690385i −0.00663197 0.0297923i
\(538\) −2.39125 0.0598717i −0.103094 0.00258125i
\(539\) 2.34815 + 0.858357i 0.101142 + 0.0369721i
\(540\) −1.53882 1.94384i −0.0662205 0.0836497i
\(541\) 7.59158 14.9687i 0.326387 0.643555i −0.668593 0.743629i \(-0.733103\pi\)
0.994980 + 0.100074i \(0.0319078\pi\)
\(542\) −1.33335 + 2.26555i −0.0572722 + 0.0973139i
\(543\) 1.91831 + 1.93036i 0.0823227 + 0.0828395i
\(544\) −3.79285 + 19.3046i −0.162617 + 0.827678i
\(545\) 5.95411 10.7221i 0.255046 0.459286i
\(546\) 0.297825 1.62298i 0.0127458 0.0694570i
\(547\) 1.87728 + 17.5789i 0.0802668 + 0.751620i 0.960726 + 0.277498i \(0.0895052\pi\)
−0.880459 + 0.474122i \(0.842766\pi\)
\(548\) −18.0473 + 2.96270i −0.770941 + 0.126560i
\(549\) 29.9350 12.6747i 1.27759 0.540944i
\(550\) −1.53588 + 0.0576978i −0.0654902 + 0.00246024i
\(551\) 22.5443 6.98345i 0.960421 0.297505i
\(552\) −1.73718 1.35762i −0.0739392 0.0577842i
\(553\) 24.9321 + 7.04422i 1.06022 + 0.299551i
\(554\) −12.5533 + 3.20974i −0.533338 + 0.136369i
\(555\) −0.325249 2.72247i −0.0138060 0.115562i
\(556\) −1.13701 + 2.55091i −0.0482201 + 0.108183i
\(557\) −6.63850 + 20.0884i −0.281282 + 0.851174i 0.708135 + 0.706077i \(0.249537\pi\)
−0.989417 + 0.145097i \(0.953651\pi\)
\(558\) −5.44346 7.63201i −0.230440 0.323089i
\(559\) −6.40241 44.1729i −0.270793 1.86831i
\(560\) 3.13071 + 1.46650i 0.132297 + 0.0619711i
\(561\) −1.58750 + 1.00245i −0.0670242 + 0.0423233i
\(562\) −10.5506 + 25.3592i −0.445051 + 1.06971i
\(563\) 0.502344 0.531466i 0.0211713 0.0223986i −0.716065 0.698033i \(-0.754059\pi\)
0.737236 + 0.675635i \(0.236130\pi\)
\(564\) −0.183923 0.303750i −0.00774456 0.0127902i
\(565\) −24.7121 + 23.6525i −1.03964 + 0.995070i
\(566\) −12.4348 6.40460i −0.522673 0.269206i
\(567\) −12.4686 + 17.4816i −0.523631 + 0.734158i
\(568\) 3.15568 + 4.30930i 0.132409 + 0.180814i
\(569\) −17.5327 + 2.42926i −0.735008 + 0.101840i −0.494953 0.868920i \(-0.664815\pi\)
−0.240055 + 0.970759i \(0.577165\pi\)
\(570\) 0.937611 0.575780i 0.0392722 0.0241168i
\(571\) 23.5855 29.7933i 0.987024 1.24681i 0.0180014 0.999838i \(-0.494270\pi\)
0.969023 0.246972i \(-0.0794355\pi\)
\(572\) −4.75270 10.3136i −0.198720 0.431235i
\(573\) 0.635374 + 0.823580i 0.0265431 + 0.0344056i
\(574\) 4.30624 + 27.2991i 0.179739 + 1.13944i
\(575\) −0.775662 2.25218i −0.0323473 0.0939223i
\(576\) 13.6750 + 13.0887i 0.569793 + 0.545363i
\(577\) 2.26215 10.1621i 0.0941744 0.423053i −0.905825 0.423651i \(-0.860748\pi\)
1.00000 0.000598295i \(0.000190443\pi\)
\(578\) −0.706428 + 2.83669i −0.0293835 + 0.117991i
\(579\) 1.68455 0.363942i 0.0700074 0.0151249i
\(580\) −0.336980 + 17.9468i −0.0139924 + 0.745199i
\(581\) 29.4738 4.46042i 1.22278 0.185049i
\(582\) 0.187300 + 3.32192i 0.00776382 + 0.137698i
\(583\) −0.553622 + 5.18412i −0.0229287 + 0.214704i
\(584\) −22.4965 6.66123i −0.930913 0.275643i
\(585\) −21.0193 + 11.1612i −0.869042 + 0.461458i
\(586\) −3.78821 7.24323i −0.156489 0.299215i
\(587\) 20.2211 3.58003i 0.834614 0.147763i 0.259404 0.965769i \(-0.416474\pi\)
0.575210 + 0.818005i \(0.304920\pi\)
\(588\) −0.0280045 + 0.177532i −0.00115489 + 0.00732132i
\(589\) −8.64684 + 4.73111i −0.356287 + 0.194942i
\(590\) −0.0629344 0.0930805i −0.00259097 0.00383206i
\(591\) 1.62091 1.63108i 0.0666752 0.0670938i
\(592\) 1.20735 + 4.60176i 0.0496218 + 0.189131i
\(593\) 3.85231 + 3.41948i 0.158196 + 0.140421i 0.739217 0.673467i \(-0.235196\pi\)
−0.581022 + 0.813888i \(0.697347\pi\)
\(594\) −0.0179873 + 2.87419i −0.000738030 + 0.117929i
\(595\) 17.1096 + 9.08512i 0.701425 + 0.372454i
\(596\) −16.6333 16.3239i −0.681326 0.668654i
\(597\) 2.56233 + 2.92331i 0.104869 + 0.119643i
\(598\) −11.1741 + 9.91860i −0.456943 + 0.405602i
\(599\) 0.581267 + 0.387733i 0.0237499 + 0.0158423i 0.566738 0.823898i \(-0.308205\pi\)
−0.542988 + 0.839740i \(0.682707\pi\)
\(600\) −0.0722374 0.306376i −0.00294908 0.0125077i
\(601\) −0.598477 31.8735i −0.0244124 1.30015i −0.771846 0.635809i \(-0.780667\pi\)
0.747434 0.664336i \(-0.231286\pi\)
\(602\) 4.65055 + 27.2605i 0.189542 + 1.11106i
\(603\) −12.2636 28.4665i −0.499412 1.15924i
\(604\) 14.3741 5.66614i 0.584873 0.230552i
\(605\) −5.79913 4.30268i −0.235768 0.174929i
\(606\) −0.322873 + 0.0655373i −0.0131158 + 0.00266227i
\(607\) 9.32061 9.61692i 0.378312 0.390339i −0.501895 0.864928i \(-0.667364\pi\)
0.880207 + 0.474590i \(0.157404\pi\)
\(608\) 12.1592 10.0027i 0.493123 0.405665i
\(609\) −3.43948 + 0.925452i −0.139375 + 0.0375012i
\(610\) −22.0532 0.828461i −0.892906 0.0335434i
\(611\) −6.40904 + 2.43416i −0.259282 + 0.0984755i
\(612\) 8.23275 + 8.71002i 0.332789 + 0.352082i
\(613\) −0.0574517 + 0.208317i −0.00232045 + 0.00841384i −0.965161 0.261655i \(-0.915732\pi\)
0.962841 + 0.270069i \(0.0870465\pi\)
\(614\) −5.14345 0.977164i −0.207573 0.0394351i
\(615\) −3.04237 + 3.30053i −0.122680 + 0.133090i
\(616\) 8.84219 + 17.9893i 0.356262 + 0.724808i
\(617\) 2.01891 + 8.10702i 0.0812783 + 0.326376i 0.997182 0.0750222i \(-0.0239028\pi\)
−0.915904 + 0.401398i \(0.868524\pi\)
\(618\) −2.34231 + 0.0586464i −0.0942215 + 0.00235910i
\(619\) −15.1080 5.09773i −0.607240 0.204895i −0.000768188 1.00000i \(-0.500245\pi\)
−0.606472 + 0.795105i \(0.707416\pi\)
\(620\) −1.35304 7.37329i −0.0543394 0.296119i
\(621\) −4.27123 + 1.26471i −0.171399 + 0.0507511i
\(622\) −7.42356 + 7.28548i −0.297658 + 0.292121i
\(623\) −2.34466 0.176411i −0.0939369 0.00706775i
\(624\) −0.376908 + 0.272401i −0.0150884 + 0.0109048i
\(625\) −7.33737 + 20.4687i −0.293495 + 0.818748i
\(626\) 7.43796 + 13.0080i 0.297281 + 0.519902i
\(627\) 1.49082 + 0.187577i 0.0595378 + 0.00749109i
\(628\) 14.2718 + 10.8686i 0.569507 + 0.433704i
\(629\) 5.46644 + 26.0920i 0.217961 + 1.04036i
\(630\) 12.8459 7.23898i 0.511792 0.288408i
\(631\) 21.4346 1.34316i 0.853297 0.0534704i 0.370110 0.928988i \(-0.379320\pi\)
0.483187 + 0.875517i \(0.339479\pi\)
\(632\) −15.7240 26.7174i −0.625467 1.06276i
\(633\) −0.175404 + 0.668544i −0.00697169 + 0.0265723i
\(634\) 10.0614 6.71145i 0.399590 0.266546i
\(635\) 10.3481 + 9.65917i 0.410651 + 0.383313i
\(636\) −0.373356 + 0.0327952i −0.0148045 + 0.00130041i
\(637\) 3.27370 + 1.15045i 0.129709 + 0.0455824i
\(638\) 13.3209 15.9878i 0.527380 0.632963i
\(639\) 5.36512 0.0671550i 0.212241 0.00265661i
\(640\) 3.35278 + 8.66400i 0.132530 + 0.342475i
\(641\) 10.1917 20.7348i 0.402548 0.818977i −0.597308 0.802012i \(-0.703763\pi\)
0.999856 0.0169649i \(-0.00540035\pi\)
\(642\) −1.85445 0.400649i −0.0731893 0.0158124i
\(643\) −9.05129 + 38.3886i −0.356948 + 1.51390i 0.433378 + 0.901212i \(0.357321\pi\)
−0.790326 + 0.612686i \(0.790089\pi\)
\(644\) −7.97130 + 7.44062i −0.314113 + 0.293201i
\(645\) −3.00274 + 3.34048i −0.118233 + 0.131531i
\(646\) −8.59147 + 6.37448i −0.338027 + 0.250800i
\(647\) 21.5813 34.6552i 0.848449 1.36244i −0.0822356 0.996613i \(-0.526206\pi\)
0.930685 0.365823i \(-0.119212\pi\)
\(648\) 25.2421 4.79554i 0.991602 0.188386i
\(649\) 0.0124696 0.152933i 0.000489473 0.00600316i
\(650\) −2.13051 + 0.106754i −0.0835655 + 0.00418722i
\(651\) 1.33083 0.664512i 0.0521595 0.0260443i
\(652\) −14.1583 + 22.1137i −0.554483 + 0.866039i
\(653\) 11.2506 5.27006i 0.440269 0.206233i −0.191335 0.981525i \(-0.561282\pi\)
0.631604 + 0.775292i \(0.282397\pi\)
\(654\) −0.561873 0.853855i −0.0219710 0.0333884i
\(655\) −24.9259 19.9874i −0.973937 0.780972i
\(656\) 4.44305 6.39726i 0.173472 0.249771i
\(657\) −18.5706 + 14.5131i −0.724507 + 0.566209i
\(658\) 3.93188 1.60706i 0.153281 0.0626497i
\(659\) −19.6821 17.9161i −0.766707 0.697913i 0.192287 0.981339i \(-0.438410\pi\)
−0.958994 + 0.283426i \(0.908529\pi\)
\(660\) −0.491230 + 1.03182i −0.0191211 + 0.0401637i
\(661\) −3.33189 + 3.03293i −0.129595 + 0.117967i −0.735360 0.677677i \(-0.762987\pi\)
0.605765 + 0.795644i \(0.292867\pi\)
\(662\) −6.39454 21.1097i −0.248531 0.820451i
\(663\) −2.18573 + 1.41878i −0.0848868 + 0.0551009i
\(664\) −29.1686 20.5300i −1.13196 0.796719i
\(665\) −5.95535 14.3141i −0.230939 0.555077i
\(666\) 18.9692 + 7.20450i 0.735040 + 0.279169i
\(667\) 29.6991 + 12.5749i 1.14995 + 0.486901i
\(668\) 18.0782 + 4.38209i 0.699466 + 0.169548i
\(669\) −0.175808 + 0.408089i −0.00679713 + 0.0157776i
\(670\) −0.658320 + 21.0319i −0.0254331 + 0.812535i
\(671\) −22.7876 19.7229i −0.879706 0.761394i
\(672\) −1.89041 + 1.43963i −0.0729241 + 0.0555348i
\(673\) 34.6270 20.0883i 1.33477 0.774348i 0.348160 0.937435i \(-0.386807\pi\)
0.986612 + 0.163088i \(0.0521453\pi\)
\(674\) −21.3265 + 6.02549i −0.821464 + 0.232093i
\(675\) −0.588708 0.240620i −0.0226594 0.00926146i
\(676\) −0.730395 1.53419i −0.0280921 0.0590072i
\(677\) −7.66532 + 25.3048i −0.294602 + 0.972542i 0.677012 + 0.735972i \(0.263274\pi\)
−0.971614 + 0.236570i \(0.923977\pi\)
\(678\) 0.792289 + 2.73859i 0.0304277 + 0.105175i
\(679\) 46.6467 + 4.68643i 1.79014 + 0.179849i
\(680\) −7.27334 22.0095i −0.278920 0.844025i
\(681\) −0.787108 + 1.07485i −0.0301620 + 0.0411884i
\(682\) −4.12380 + 7.65018i −0.157908 + 0.292941i
\(683\) −0.141773 + 3.23424i −0.00542481 + 0.123755i 0.994410 + 0.105586i \(0.0336720\pi\)
−0.999835 + 0.0181684i \(0.994216\pi\)
\(684\) −0.659769 9.56900i −0.0252269 0.365880i
\(685\) 27.7215 22.2291i 1.05918 0.849329i
\(686\) −17.7968 5.75791i −0.679485 0.219838i
\(687\) −0.188794 0.960913i −0.00720295 0.0366611i
\(688\) 4.36542 6.45650i 0.166430 0.246152i
\(689\) −0.678268 + 7.20419i −0.0258399 + 0.274458i
\(690\) 1.48665 + 0.224982i 0.0565956 + 0.00856492i
\(691\) −5.02025 + 29.4276i −0.190979 + 1.11948i 0.715936 + 0.698166i \(0.246000\pi\)
−0.906916 + 0.421312i \(0.861570\pi\)
\(692\) 2.78515 0.675110i 0.105875 0.0256638i
\(693\) 19.8703 + 3.26197i 0.754810 + 0.123912i
\(694\) 0.739505 13.1157i 0.0280712 0.497867i
\(695\) −0.508620 5.40229i −0.0192931 0.204921i
\(696\) 3.73890 + 2.04574i 0.141723 + 0.0775435i
\(697\) 26.6592 34.5560i 1.00979 1.30890i
\(698\) 30.5385 + 6.99893i 1.15590 + 0.264914i
\(699\) 2.66832 2.25166i 0.100925 0.0851658i
\(700\) −1.55245 + 0.116805i −0.0586769 + 0.00441481i
\(701\) −13.8795 + 15.8348i −0.524221 + 0.598073i −0.952109 0.305758i \(-0.901090\pi\)
0.427889 + 0.903831i \(0.359257\pi\)
\(702\) 0.0249650 + 3.98914i 0.000942242 + 0.150560i
\(703\) 9.88752 18.9054i 0.372915 0.713031i
\(704\) 5.29750 16.7305i 0.199657 0.630554i
\(705\) 0.601046 + 0.338705i 0.0226367 + 0.0127564i
\(706\) 7.84924 + 3.79730i 0.295410 + 0.142913i
\(707\) 0.203296 + 4.63774i 0.00764573 + 0.174420i
\(708\) 0.0109606 0.00123992i 0.000411924 4.65992e-5i
\(709\) −27.1190 22.3093i −1.01847 0.837842i −0.0316269 0.999500i \(-0.510069\pi\)
−0.986847 + 0.161658i \(0.948316\pi\)
\(710\) −3.31766 1.50373i −0.124510 0.0564341i
\(711\) −31.0229 2.72502i −1.16345 0.102196i
\(712\) 1.88085 + 2.09240i 0.0704878 + 0.0784161i
\(713\) −13.2000 2.67936i −0.494344 0.100343i
\(714\) 1.33180 0.912662i 0.0498412 0.0341555i
\(715\) 17.8822 + 12.9239i 0.668757 + 0.483327i
\(716\) 3.19898 + 2.69946i 0.119551 + 0.100883i
\(717\) 0.959302 + 1.27617i 0.0358258 + 0.0476595i
\(718\) 13.2204 1.66340i 0.493380 0.0620774i
\(719\) −6.20556 3.60007i −0.231429 0.134260i 0.381581 0.924336i \(-0.375380\pi\)
−0.613009 + 0.790076i \(0.710041\pi\)
\(720\) −4.02608 1.02943i −0.150043 0.0383645i
\(721\) −4.32632 + 32.7298i −0.161121 + 1.21892i
\(722\) −9.63360 0.482712i −0.358525 0.0179647i
\(723\) −0.153606 + 0.0673174i −0.00571266 + 0.00250356i
\(724\) −15.9532 2.21041i −0.592897 0.0821494i
\(725\) 2.18489 + 4.05325i 0.0811447 + 0.150534i
\(726\) −0.541747 + 0.262086i −0.0201061 + 0.00972692i
\(727\) 31.0723 + 1.94709i 1.15241 + 0.0722137i 0.627268 0.778803i \(-0.284173\pi\)
0.525138 + 0.851017i \(0.324014\pi\)
\(728\) 12.5838 + 24.8121i 0.466386 + 0.919597i
\(729\) 10.5519 22.8984i 0.390813 0.848087i
\(730\) 15.5960 3.57437i 0.577235 0.132293i
\(731\) 26.2414 34.9092i 0.970572 1.29117i
\(732\) 1.07542 1.88076i 0.0397486 0.0695148i
\(733\) 27.1709 + 31.7929i 1.00358 + 1.17430i 0.984661 + 0.174476i \(0.0558233\pi\)
0.0189190 + 0.999821i \(0.493978\pi\)
\(734\) −8.41637 10.1014i −0.310654 0.372848i
\(735\) −0.121937 0.327210i −0.00449772 0.0120693i
\(736\) 21.5141 + 0.269291i 0.793021 + 0.00992621i
\(737\) −18.6692 + 21.8450i −0.687689 + 0.804670i
\(738\) −11.2099 31.2716i −0.412640 1.15112i
\(739\) 23.5094 + 16.1107i 0.864809 + 0.592642i 0.913803 0.406157i \(-0.133132\pi\)
−0.0489944 + 0.998799i \(0.515602\pi\)
\(740\) 11.2928 + 11.6518i 0.415132 + 0.428330i
\(741\) 2.07224 + 0.234423i 0.0761256 + 0.00861176i
\(742\) 0.308383 4.47265i 0.0113211 0.164196i
\(743\) 9.10762 + 13.1135i 0.334126 + 0.481087i 0.952390 0.304884i \(-0.0986177\pi\)
−0.618263 + 0.785971i \(0.712163\pi\)
\(744\) −1.70022 0.526668i −0.0623330 0.0193086i
\(745\) 43.7246 + 11.7649i 1.60195 + 0.431032i
\(746\) 4.57454 2.07341i 0.167486 0.0759131i
\(747\) −33.8050 + 11.8798i −1.23686 + 0.434659i
\(748\) 3.88002 10.4118i 0.141867 0.380692i
\(749\) −9.64784 + 24.9312i −0.352524 + 0.910966i
\(750\) 1.39295 + 1.51115i 0.0508633 + 0.0551793i
\(751\) −22.6120 36.3103i −0.825125 1.32498i −0.943284 0.331987i \(-0.892281\pi\)
0.118159 0.992995i \(-0.462301\pi\)
\(752\) −1.11370 0.439012i −0.0406125 0.0160091i
\(753\) −0.0981718 3.13638i −0.00357758 0.114296i
\(754\) 18.2092 22.4194i 0.663139 0.816468i
\(755\) −18.9255 + 23.3014i −0.688769 + 0.848024i
\(756\) 0.0910850 + 2.90997i 0.00331273 + 0.105835i
\(757\) −5.57797 2.19879i −0.202735 0.0799164i 0.263177 0.964748i \(-0.415230\pi\)
−0.465912 + 0.884831i \(0.654274\pi\)
\(758\) 4.10857 + 6.59753i 0.149230 + 0.239633i
\(759\) 1.39166 + 1.50975i 0.0505142 + 0.0548006i
\(760\) −6.69508 + 17.3009i −0.242856 + 0.627569i
\(761\) 3.46139 9.28840i 0.125475 0.336704i −0.859064 0.511868i \(-0.828954\pi\)
0.984539 + 0.175163i \(0.0560454\pi\)
\(762\) 1.11303 0.391143i 0.0403209 0.0141696i
\(763\) −13.1178 + 5.94567i −0.474897 + 0.215248i
\(764\) −5.94446 1.59946i −0.215063 0.0578664i
\(765\) −22.2431 6.89013i −0.804200 0.249113i
\(766\) 4.31217 + 6.20882i 0.155805 + 0.224334i
\(767\) 0.0146488 0.212459i 0.000528936 0.00767145i
\(768\) 3.08713 + 0.349234i 0.111397 + 0.0126019i
\(769\) −23.4958 24.2427i −0.847280 0.874216i 0.146079 0.989273i \(-0.453335\pi\)
−0.993359 + 0.115057i \(0.963295\pi\)
\(770\) −11.2763 7.72751i −0.406370 0.278480i
\(771\) 0.542389 + 1.51308i 0.0195337 + 0.0544922i
\(772\) −6.62633 + 7.75352i −0.238487